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Mathematical 
Reviews 





EDITORIAL COMMITTEE 
Wendell H. Fleming 
John L. Selfridge 
B. Alan Taylor 
Hans F. Weinberger 
Donald G. Babbitt, Executive Editor 


Annual index — 1992 


Subject Index 00-58 


Index of Mathematical Papers Volume 24 
American Mathematical Society 
Providence, Rhode Island USA 


ISSN 0025-5629 











General 

History and biography 

Mathematical logic and foundations 

Set theory 

Combinatorics 

Order, lattices, ordered algebraic 
structures 

General algebraic systems 

Number theory 

Field theory and polynomials 

Commutative rings and algebras 

Algebraic geometry 

Linear and multilinear algebra; 
matrix theory 

Associative rings and algebras 

Nonassociative rings and algebras 

Category theory, homological algebra 

K-theory 

Group theory and generalizations 

Topological groups, Lie groups 

Real functions 

Measure and integration 

Functions of a complex variable 

Potential theory 

Several complex variables and 
anaiytic spaces 

Special functions 

Ordinary differential equations 

Partiai differential equations 

Finite differences and 
functional equations 

Sequences, series, summability 

Approximations and expansions 

Fourier analysis 

Abstract harmonic analysis 

Integral transforms, operational 
calculus 


1991 Mathematics Subject Classification 





Integral equations 

Functional analysis 

Operator theory 

Calculus of variations and 
optimal control; optimization 

Geometry 

Convex and discrete geometry 

Differential geometry 

General topology 

Algebraic topology 

Manifolds and cell complexes 

Global analysis, analysis on manifolds 

Probability theory and 
stochastic processes 

Statistics 

Numerical analysis 

Computer science 

Mechanics of particles and 
systems 

Mechanics of solids 

Fluid mechanics 

Optics, electromagnetic theory 

Classical thermodynamics, heat 
transfer 

Quantum theory 

Statistical mechanics, structure 
of matter 

Relativity and gravitational theory 

Astronomy and astrophysics 

Geophysics 

Economics, operations research, 
programming, games 

Biology and other natural sciences, 
behavioral sciences 

Systems theory; control 

Information and communication, 
circuits 


Copyright © 1992 by the American Mathematical Society. All rights reserved. 
Printed in the United States of America 


All rights reserved except those granted to the United States Government 


This book may not be reproduced in any form without permission of the publishers 


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EDITORIAL COMMITTEE 
Wendell H. Fleming 
John L. Selfridge 
B. Alan Taylor 
Hans F. Weinberger 
Donald G. Babbitt, Executive Editor 


Annual Index — 1992 


Subject Index 


TABLE OF CONTENTS 
Subject Index 00-58 


Subject Index 60-94 
1991 Subject Classification 


Index of Mathematical Papers Volume 24 
American Mathematical Society 

Providence, Rhode Island USA 

ISSN 0025-5629 





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Mathematical Reviews 





Issue year 1992, annual index 


Subject Index 


Pages 1-1874 





00-XX General 


00-01 Instructional exposition (textbooks, tutorial papers, etc.) 


(von Borzeszkowski, Horst-Heino) see Landau, L. D., 92h:00001b 

Bugrov, Ya. S. (with Nikol’skii, S. M.) * Matematica para engenharia. Tépicos de andlise. 
Vol. 3. (Portuguese) [Mathematics for engineering. Topics of analysis. Vol. 3} 92a:00001 

(Dautcourt, Georg) see Landau, L. D., 92h:00001b 

(Diener, Gerhard) see Lifshits, E. M., 92k:00003 

(Dombrovskii, M.) see Bugrov, Ya. S., 92a:00001 

(Drechsler, Stefan-Ludwig) see Landau, L. D., 92h:00001b 

Eves, Howard * Foundations and fundamental concepts of mathematics. 92k:00001 

(Frauenheim, Thomas) see Lifshits, E. M., 92k:00003 

(Ginther, Helmut) see Landau, L. D., 92h:00001b 

Ketki¢, Jovan D. see Mitrinovi¢, Dragoslav S., 92f:00001 

(Kolimeev, V.) see Landau, L. D., 92a:00003 and Lifshits, E. M., 92k:00002b 

Konforovich, A. G. * Logischen Katastrophen auf der Spur. (German) [On the track of 
logical catastrophes] 92a:00002 

(Kosevich, A. M.) see Landau, L. D., 92a:00003 

(Kiihnel, A.) see Landau, L. D., 92h:00001a 

Landau, L. D. (with Lifshits, E.M.) * Lehrbuch der theoretischen Physik (“Landau- 
Lifschitz”). Band III. (German) [Textbook of theoretical physics (“Landau-Lifschitz”). 
Vol. III] 92h:00001a 

— (with Lifshits, E.M.) * Lehrbuch der theoretischen Physik (“Landau-Lifschitz”). 
Band VIII. (German) [Textbook of theoretical physics (“Landau-Lifschitz”). Vol. VIII] 
92h:00001b 

— (with Lifshits, E.M.) * Physique théorique. Tome 7. (French) [Theoretical physics. Vol. 
7] 92a:00003 

— (with Lifshits, E.M.) * Physique théorique (“Landau-Lifshits”). Tome 8. (French) 
[Theoretical physics. Vol. 8] 92k:00002a 

(Lehmann, Gerd) see Landau, L. D., 92h:00001b 

Lifshits, E.M. (with Pitaevskii, L. P.) * Physique théorique (“Landau-Lifchitz”). Tome 
10. (French) [Theoretical physics (“Landav-Lifchitz”). Vol. 10] 92k:00002b 

— (with Pitaevskii, L. P.) * Lehrbuch der theoretischen Physik (“Landau-Lifschitz”). Band 
X. (German) [Course of theoretical physics (“Landau-Lifschitz”). Vol. X] 92k:00003 

— see also Landau, L. D., 92a:00003; 92h:00001a, 92h:00001b and 92k:00002a 

(Meserve, Bruce E.) see Eves, Howard, 92k:00001 

Mitrinovi¢é, Dragoslav S. (with Ketki¢, Jovan D.) * Jednatine matematitke fizike. (Serbo- 
Croatian) [Equations of mathematical physics] 92f:00001 

Nikol’skii, S. M. * Kypc Marematuueckoro aHamu3a. Tom I. (Russian) [Course in mathe- 
matical analysis. Vol. I] 92f:00002 

— * Kypc MaTematuueckoro aHamu3a. Tom II. (Russian) [Course in mathematical analysis. 
Vol. II] 92j:00001 

— see also Bugrov, Ya. S., 92a:00001 

Pitaevskii, L. P. see Lifshits, E. M., 92k:00002b; 92k:00003; Landau, L. D., 92a:00003; 
92h:00001a; 92h:00001b and 92k:00002a 

Pontryagin, L.S. * 3HakomcTBo c BbicIeH MaTemMaTHKOH. (Russian) [Acquaintance with 
higher mathematics] 92j:00002 

(Répke, Gerd) see Lifshits, E. M., 92k:00003 

(Sokova, Anne) see Landau, L. D., 92k:00002a 

(Stephan, Galina) see Konforovich, A. G., 92a:00002 

(Stephan, Holger) see Konforovich, A. G., 92a:00002 

(Ziesche, Paul) see Landau, L. D., 92h:60001a; 92h:00001b and Lifshits, E. M., 92k:00003 


Items with secondary classifications in 00-01 
Chung, T. J. * Continuum mechanics. 92a:73001 
Ostaszewski, Adam * Advanced mathematical methods. 92b:00005 


00Axx General and miscellaneous specific topics 


00A05 General mathematics 


Adomian, George A. A review of the decomposition method and some recent results for 
nonlinear equations. 92h:00002a 

— A review of the decomposition method and some recent results for nonlinear equations. 
92h:00002b 

— Errata to: “A review of the decomposition method and some recent results for nonlinear 
equations”. 92h:00002c 

Allenby, R. B. J.T. * Rings, fields and groups. 92k:00004 

(Andrianova, M.) see Il‘in, Viadimir Aleksandrovich, 92g:00002a and 92g:00002b 

Artin, Michael * Algebra. 92g:00001 

(Artola, Michel) see Dautray, Robert, 92k:00006 


Bakhturin, Yu. A. * OcHosubie cTpyKTypbi CoppeMeHHON anre6psi. (Russian) [Basic 
structures of modern algebra] 92b:00001 

Bamberg, Paul (with Sternberg, Shlomo) * A course in mathematics for students of 
physics. 1. 92j:00003a 

— (with Sternberg, Shlomo) * A course in mathematics for students of physics. 2. 
92j:00003b 

Bell, D. J. * Mathematics of linear and nonlinear systems for engineers and applied 
scientists. 92k:00005 

Bican, Ladislav see Prochdzka, Ladislav; et al., 92i:00003 

Boccara, Nino * Functional analysis. 92b:00002 

(Cessenat, Michel) see Dautray, Robert, 92k:00006 

Chattopadhyay, P. K. * Mathematical physics. 92f:00003 

Choquet, Gustave Peut-on renouveler ses champs d’intérét? Essai de réponses concrétes. 
[Can one renew one’s fields of interest? An attempt at some concrete answers] 92m:00001 

Cohn, P.M. * Algebra. Vol. 3. 92c:00001 

(Craig, Alan W.) see Dautray, Robert, 92k:00006 

Dautray, Robert (with Lions, Jacques-Louis) * Mathematical analysis and numerical 
methods for science and technology. Vol. 5. 92k:00006 

Dummit, David S. (with Foote, Richard M.) * Abstract algebra. 92k:00007 

Dunham, William * Journey through genius. 92k:00008 

Durbin, John R. * Modern algebra. 92i:00001 

(Eisenreich, Ginther) see Stewart, Ian N., 92a:00012 

(Ficker, W.) see Sominskii, I. S.; et al., 92j:00008 

Foote, Richard M. see Dummit, David S., 92k:00007 

(Fredersdorf, R.) see Sominskii, I. S.; et al., 92j:00008 

Friedman, Bernard * Principles and techniques of applied mathematics. 92a:00004 

— * Lectures on applications-oriented mathematics. 92a:00005 

(Gastev, Yu. A.) see Sominskii, I. S.; et al., 92j:00008 

Gelbaum, Bernard R. (with Olmsted, John M. H.) * Theorems and counterexamples in 
mathematics. 92b:00003 

(Gill-Hoffstadt, Sophia) see Lauwerier, Hans, 92f:00004 

Gleason, Andrew M. * Fundamentals of abstract analysis. 92j:00004 

Golovina, L. 1. see Sominskii, I. S.; et al., 92j:00008 

Haaser, Norman B. (with Sullivan, Joseph A.) * Real analysis. 922:00006 

(Helle, Renate) see Smirnov, Viadimir Ivanovich, 92i:00005 

Herstein, I. N. * Abstract algebra. 92m:00002 

— * Abstract algebra. 92m:00003 

Heuser, Harro * Lehrbuch der Analysis. Teil 1. (German) [Textbook of analysis. Part 1] 
92k:00009a 

— * Lehrbuch der Analysis. Teil 2. (German) [Textbook of analysis. Part 2] 92k:00009b 

Holland, Samuel S., Jr. * Applied analysis by the Hilbert space method. 92a:00007 

Honsberger, Ross * More mathematical morsels. 92b:00004 

IVin, Viadimir Aleksandrovich (with Poznyak, E.G.) * Fundamentos del anilisis 
matemiatico. 1. (Spanish) [Foundations of mathematical analysis. 1] 92g:00002a 

— (with Poznyak, E.G.) * Fundamentos del andlisis matematico. 2. (Spanish) [Founda- 
tions of mathematical analysis. 2] 92g:00002b 

— (with Poznyak, E.G.) * Fundamentos del analisis matematico. 3. (Spanish) [Founda- 
tions of mathematical analysis. 3] 92g:00002c 

Janich, Klaus * Analysis fiir Physiker und Ingenieure. (German) [Analysis for physicists 
and engineers] 92a:00008 

Kapur, J. N. * Fascinating world of mathematical sciences. Vol. IV. 92a:00009a 

— * Fascinating world of mathematical sciences. Vol. V. 92a:00009b 

— * Fascinating world of mathematical sciences. Vol. VI. 92a:00009c 

Kepka, Tomas see Prochazka, Ladislav; et al., 92i:00003 

Kiyek, Karl-Heinz (with Schwarz, Friedrich) * Mathematik fiir Informatiker. 1. (German) 
[Mathematics for information scientists. 1] 92¢:00001a 

— (with Schwarz, Friedrich) * Mathematik fiir Informatiker. 2. (German) [Mathematics 
for information scientists. 2] 92e:00001b 

(Klotzek, Benno) see Sominskii, I. S.; et al., 92j:00008 

Knopp, Konrad see von Mangoldt, Hans, 92h:00003a; 92h:00003b and 92h:00003c 

Koch, Helmut V. * Introduction to classical mathematics. I. 92k:00010 

Kurepa, Djuro R. Fixpoint approach in mathematics. 92j:00005 

(Lanchon, Héléene) see Dautray, Robert, 92k:00006 

Lauwerier, Hans * Fractals. 92f:00004 

Light, William A. * An introduction to abstract analysis. 92a:00010 

Lions, Jacques-Louis see Dautray, Robert, 92k:00006 

Loomis, Lynn H. (with Sternberg, Shlomo) * Advanced calculus. 92i:00002 

Lorenz, Falko * Einfiihrung in die Algebra. Teil II. (German) [Introduction to algebra. Part 
II] 92j:00006 

Lésch, Friedrich * Héhere Mathematik: eine Einfiihrung fiir Studierende und zum 
Selbststudium. Band 4. (German) [Higher mathematics: an introduction for students and 
for self-study. Vol. 4] 92h:00003d 

La, Zhen Qiu * Jingdian he xiandai shuxue wuli fangcheng. (Chinese) [Equations of 
classical and modern mathematical physics] 92f:00005 

(Mai, Brigitte) see Smirnov, Vladimir Ivanovich, 92i:00005 





00A05 


von Mangoldt, Hans (with Knopp, Konrad) * Héhere Mathematik: eine Einfiihrung 
fiir Studierende und zum Selbststudium. Band 1. (German) [Higher mathematics: an 
introduction for students and for self-study. Vol. 1] 92h:00003a 

— (with Knopp, Konrad) * Héhere Mathematik: eine Einfiihrung fiir Studierende und zum 
Selbststudium. Band 2. (German) [Higher mathematics: an introduction for students and 
for self-study. Vol. 2] 92h:00003b 

— (with Knopp, Konrad) * Héhere Mathematik: eine Einfiihrung fiir Studierende und zum 
Selbststudium. Band 3. (German) [Higher mathematics: an introduction for students and 
for self-study. Vol. 3] 92h:00003c 

Maor, Eli * To infinity and beyond. 92f:00006 

(Medkov, K.P.) see IV'in, Viadimir Aleksandrovich, 92g:00002b and 92g:00002c 

Némec, Petr see Prochazka, Ladislav; et al., 92i:00003 

Olmsted, John M. H. see Gelbaum, Bernard R., 92b:00003 

Pasini, Antonio * Complementi di algebra e geometria. (Italian) [Complements of algebra 
and geometry] 92a:00011 

Poznyak, E.G. see IV'in, Viadimir Aleksandrovich, 92g:00002a; 92g:00002b and 92g:00002c 

Prochazka, Ladislav (with Bican, Ladislav; Kepka, Tomas; Némec, Petr) * Algebra. 
(Czech) 92i:00003 

Savelev, I. V. % Ocnosbi TeopeTuseckon bu3uKu. Tom 1. (Russian) [Fundamentals of 
theoretical physics. Vol. 1] 92k:00011 

Sburlan, Silviu * Principiile fundamentale ale matematicii moderne. (Romanian) 
[Fundamental principles of modern mathematics] 92j:00007 

(Schmidt, M.) see Sominskii, I. S.; et al., 92j:00008 

(Schroter, R.-D.) see Sominskii, I. S.; et al., 92j:00008 

Schiicker, Thomas * Distributions, Fourier transforms and some of their applications to 
physics. 92d:00001 

Schwarz, Friedrich see Kiyek, Karl-Heinz, 92e:00001a and 92e:00001b 

Smirnov, Vladimir Ivanovich * Lehrgang der hGheren Mathematik. Teil III/1. (German) 
[Course in higher mathematics. Part III/1] 92i:00004 

— * Lehrgang der héheren Mathematik. Teil V. (German) [Course in higher mathematics. 
Part V] 92i:00005 

Sominskii, I. S. (with Golovina, L. I.; Yaglom, I. M.) * Die vollstandige Induktion. 
(German) [Complete induction] 92j:00008 

Sternberg, Shlomo see Loomis, Lynn H., 92i:00002; Bamberg, Paul, 92j:00003a and 
92j:00003b 

Stewart, Ian N. * Mathematik. (German) [The problems of mathematics] 92a:00012 

(Stillwell, John C.) see Koch, Helmut V., 92k:00010 

Storch, Uwe (with Wiebe, Hartmut) * Lehrbuch der Mathematik fiir Mathematiker, Infor- 
matiker und Physiker. Band I. (German) [Textbook of mathematics for mathematicians, 
information scientists, and physicists. Vol. I] 92k:00012 

— (with Wiebe, Hartmut) * Lehrbuch der Mathematik fiir Mathematiker, Informatiker und 
Physiker. Band II. (German) [Textbook of mathematics for mathematicians, information 
scientists and physicists. Vol. II] 92k:00013 

Sullivan, Joseph A. see Haaser, Norman B., 92a:00006 

(Sylvester, James Joseph) see Stewart, Ian N., 92a:00012 

(Twersky, Victor) see Friedman, Bernard, 92a:00005 

Wiebe, Hartmut see Storch, Uwe, 92k:00012 and 92k:00013 

(Winter, David J.) see Herstein, I. N., 92m:00003 

Yaglom, I. M. see Sominskii, I. S.; et al., 92j:00008 

Yan, Zhen Jun * Shuxue wuli fangcheng. (Chinese) [Equations of mathematical physics] 
92g:00003 


Items with secondary classifications in 00A05 

Abbott, Edwin Abbott * Flatland. 92m:01092 

Abeasis, Silvana * Algebra lineare e geometria. (Italian) [Linear algebra and geometry] 
92e:15001 

Aleksandrov, A. D. (with Netsvetaev, N. Yu.) * Teomerpua. (Russian) [Geometry] 
92k:51001 

Arrowsmith, D. K. The mathematics of chaos. (see 92h:00013) 

(Banchoff, Thomas) see Abbott, Edwin Abbott, 92m:01092 

Barner, Martin (with Flohr, Friedrich) * Analysis. Il.(German) 92b:26002 

— (with Flohr, Friedrich) * Analysis. I.(German) 92i:26001 

(Behr, E.) see Algebra, 92b:00057 

(Bittanti, Sergio) see Riccati equation, 92d:93008 

Bogolyubov, N. N. (with Logunov, A. A.; Oksak, A. I.; Todorov, Ivan T.) * General 
principles of quantum field theory. 92h:81001 

Brabenec, Robert L. * Introduction to real analysis. 92d:26001 

Brécker, Theodor * Analysis. 1.(German) 92b:26003 

— * Analysis. II.(German) 92j:26001 

(Burns, Robert G.) see Dubrovin, B. A.; et al., 92h:53001 

Dadayan, A. A. (with Dudarenko, V. A.) * MatemaTuueckuit ananu3. (Russian) [Mathe- 
matical analysis] 92g:26001 

(Drugaleva, Z.S.) see Diversity of mathematics, 92h:00011 

Dubrovin, B. A. (with Fomenko, A. T.; Novikov, S. P.) * Modern geometry—methods and 
applications. Part I. 92h:53001 

Dudarenko, V. A. see Dadayan, A. A., 92g:26001 

Eves, Howard * Foundations and fundamental concepts of mathematics. 92k:00001 

Flohr, Friedrich see Barner, Martin, 92b:26002 and 92i:26001 

Fomenko, A. T. see Dubrovin, B. A.; et al., 92h:53001 

Francis, George K. *& Kuwxka c kapTHHKamu no Tononorun. (Russian) [A topological 
picturebook] 92f:57001 

(Gamkrelidze, R. V.) see Current problems in mathematics. Fundamental directions, 
92a:18003a 

(Gould, G. G.) see Bogolyubov, N. N.; et al., 92h:81001 

Hirzebruch, Friedrich Axiome, Definitionen, Begriffe in der Mathematik. [Axioms, 
definitions and concepts in mathematics] 92k:00017 

(Ivanov, N. V.) see Francis, George K., 92f:57001 

Jones, Arthur (with Morris, Sidney A.; Pearson, Kenneth R.) * Abstract algebra and 
famous impossibilities. 92i:51027 

(Kostrikin, Aleksei Ivanovich) see Algebra, 92b:00057 


GENERAL 


(Laub, Alan J.) see Riccati equation, 92d:93008 

Leis, Rolf Zur Entwicklung der angewandten Analysis und mathematischen Physik in 
den letzten hundert Jahren. [On the development of applied analysis and mathematical 
physics in the last hundred years] 92e:01052 

Li, Jia Xian * Xiandai fenxi yuanli. (Chinese) [Principles of modern analysis] 92h:58001 

Lines, Malcolm E. * Think of a number. 92f:00008 

Logunov, A. A. see Bogolyubov, N. N.; et al., 92h:81001 

Mac Lane, Saunders Algebra as a means of understanding mathematics. 92j:00022 

(Meserve, Bruce E.) see Eves, Howard, 92k:00001 

(Mignotte, Catherine) see Mignotte, Maurice, 92i:68071 

Mignotte, Maurice * Mathematics for computer algebra. 92i:68071 

Morrey, Charles B., Jr. see Protter, Murray H., 92i:26003 

Morris, Sidney A. see Jones, Arthur; et al., 92i:51027 

Netsvetaev, N. Yu. see Aleksandrov, A. D., 92k:51001 and Francis, George K., 92f:57001 

Novikov, S. P. see Dubrovin, B. A.; et al., 92h:53001 

Oksak, A.I. see Bogolyubov, N. N.; et al., 92h:81001 

Pearson, Kenneth R. see Jones, Arthur; et al., 92i:51027 

Piff, Mike * Discrete mathematics. 92m:05001 

Protter, Murray H. (with Morrey, Charles B., Jr.) * A first course in real analysis. 
92i:26003 

Rudenko, O. V. see Vinogradova, M. B.; et al., 92j:00028 

Ruelle, David * Chance and chaos. 92j:00025 

Schroeder, Manfred R. * Fractals, chaos, power laws. 92m:00018 

Senechal, Marjorie * Crystalline symmetries. 92c:20092 

(Shafarevich, I. R.) see Algebra, 92b:00057 

(Shenitzer, Abe) see Tikhomirov, V. M., 92k:49002 

Sukhorukov, A. P. see Vinogradova, M. B.; et al., 92j:00028 

Tikhomirov, V.M. * Stories about maxima and minima. 92k:49002 

Todorov, Ivan T. see Bogolyubov, N. N.; et al., 92h:81001 

Vinogradova, M. B. (with Rudenko, O. V.; Sukhorukov, A. P.) * Teopxa Bomn. (Russian) 
[Wave theory] 92j:00028 

Weyl, Hermann * Symmetry. 92b:01085 

(Willems, Jan C.) see Riccati equation, 92d:93008 


Items listed otherwise than by author 

Algebra * Algebra. II. 92b:00057 

Current problems in mathematics. Fundamental directions * Cosp ie mpo6. 1 
MaTeMaTHKH. DyHzaMeHTasIbHbie HaipaBseHua. Tom 38. (Russian) [Current problems in 
mathematics. Fundamental directions. Vol. 38] 92a:18003a 

Diversity of mathematics * Takasa pasHaa MaTemaTuka.... (Russian) [The diversity of 
mathematics] 92h:00011 

Encyclopaedia of Mathematical Sciences * Algebra. II. 92b:00057 

Itogi Nauki i Tekhniki * Cospemenubie npo6nembI MaTeMaTHKH. DyHqaMeHTaJIbHble 
Hanpapyienusa. Tom 38. (Russian) [Current problems in mathematics. Fundamental 
directions. Vol. 38] 92a:18003a 

Riccati equation * The Riccati equation. 92d:93008 





00A06 Mathematics for nonmathematicians (engineering, social 
sciences, etc.) 


Benoist-Gueutal, Pierrette (with Courbage, Maurice) * Mathématiques pour la physique. 
Tome 1. (French) [Mathematics for physics. Vol. 1] 92m:00004 

Courbage, Maurice see Benoist-Gueutal, Pierrette, 92m:00004 

Farrashkhalvat, M. (with Miles, J. P.) * Tensor methods for engineers. 92a:00013 

GroBmann, Siegfried * Mathematischer Einfiihrungskurs fiir die Physik. (German) 
[Mathematical introduction to physics] 

Miles, J. P. see Farrashkhalvat, M., 92a:00013 

Ostaszewski, Adam * Advanced mathematical methods. 92b:00005 

Rasmussen, M. L. see Reddy, J. N., 92g:00004 

Reddy, J. N. (with Rasmussen, M. L.) * Advanced engineering analysis. 92g:00004 

Wong, Chun Wa * Introduction to mathematical physics. 92c:00002 


Items with secondary classifications in 00A06 

Abhyankar, Shreeram S. * Algebraic geometry for scientists and engineers. 92a:14001 

Bamberg, Paul (with Sternberg, Shlomo) * A course in mathematics for students of 
physics. 1. 92j:00003a 

— (with Sternberg, Shlomo) * A course in mathematics for students of physics. 2. 
92j:00003b 

Bell, D. J. * Mathematics of linear and nonlinear systems for engineers and applied 
scientists. 92k:00005 

Chattopadhyay, P. K. * Mathematical physics. 92f:00003 

Doolin, Brian F. (with Martin, Clyde Franklin) * Introduction to differential geometry for 
engineers. 92j:93001 

Eisen, Martin * Mathematical methods and models in the biological sciences. 92f:00012 

Fomenko, A. T. * Mathematical impressions. 92f:00007 

(Gill-Hoffstadt, Sophia) see Lauwerier, Hans, 92f:00004 

Lauwerier, Hans * Fractals. 92f:00004 

(Lipkin, Richard) see Fomenko, A. T., 92f:00007 

Martin, Clyde Franklin see Doolin, Brian F., 92j:93001 

Sternberg, Shlomo see Bamberg, Paul, 92j:00003a and 92j:00003b 


00A07 Problem books 


Bayer, Pilar (with Montes, Jess; Travesa i Grau, Artur) * Problemes d’algebra. (Catalan) 
[Algebra problems] 92a:00014 

Halmos, Paul R. * Problems for mathematicians, young and old. 92j:00009 

Klee, Victor (with Wagon, Stan) * Old and new unsolved problems in plane geometry and 
number theory. 92k:00014 

Montes, Jestis see Bayer, Pilar; et al., 92a:00014 

Niven, Ivan Problems for all seasons. 92j:00010 





1992 


Rassias, Themistocles M. Seven problems in mathematical analysis. (see 92b:00033) 
Travesa i Grau, Artur see Bayer, Pilar; et al., 922:00014 
Wagon, Stan see Klee, Victor, 92k:00014 


Items listed otherwise than by author 
Reports: 
Schweitzer Memorial Competition Report on the 1987 M. Schweitzer Memorial 
Competition. (Hungarian. English summary) 


Items with secondary classifications in 00A07 

Arnold, V. 1. Trivium mathématique. [Mathematical trivium] 

(Atfah, Mustafa) see Demidovich, B. P., 92h:26001 

Demidovich, B. P. * Masa’il wa-tamarin fi-al-tahlil al-riyadi. (Arabic) [Problems and 
exercises in mathematical analysis] 92h:26001 

Gelbaum, Bernard R. (with Olmsted, John M. H.) * Theorems and counterexamples in 
mathematics. 92b:00003 

Honsberger, Ross * More mathematical morsels. 92b:00004 

Olmsted, John M. H. see Gelbaum, Bernard R., 92b:00003 


00A08 Recreational mathematics 


Arnold, V.1. Trivium mathématique. [Mathematical trivium] 

Emmer, Michele Le Belvédére d’Escher: une modeste hypothése. [The Belvedere by Escher: a 
modest hypothesis] 

Fomenko, A. T. * Mathematical impressions. 92f:00007 

Gardner, Martin * Fractal music, hypercards and more.... 92m:00005 

Guy, Richard K. Mathematics from fun & fun from mathematics: an informal autobio- 
graphical history of combinatorial games. (see 92m:01044) 

de Guzman, Miguel The role of games and puzzles in the popularization of mathematics. 
92a:00015 

(Kowalski, Oldfich) see Wells, David Graham, 92m:00006 

Lines, Malcolm E. * Think of a number. 92f:00008 

(Lipkin, Richard) see Fomenko, A. T., 92f:00007 

Peterson, Ivars * The mathematical tourist. 92a:00016 

— * Islands of truth. 92a:00017 

Wells, David Graham Are these the most beautiful? 92a:00018 

— Are these the most beautiful? (Czech) 92m:00006 


Items with secondary classifications in 00A08 

Bohm, Johannes (with Quaisser, Erhard) * Schénheit und Harmonie geometrischer 
Formen. (German) [Beauty and harmony of geometric forms] 92k:52003 

Feiste, Uwe see Flachsmeyer, Jiirgen; et al., 92m:52045 

(Fischer, Gerd) see Bohm, Johannes, 92k:52003 

Flachsmeyer, Jiirgen (with Feiste, Uwe; Manteuel, Karl) * Mathematik und ornamentale 
Kunstformen. (German) [Mathematics and ornamental art forms] 92m:52045 

Halmos, Paul R. * Problems for mathematicians, young and old. 92j:00009 

Honsberger, Ross * More mathematical morsels. 92b:00004 

Konforovich, A. G. * Logischen Katastrophen auf der Spur. (German) [On the track of 
logical catastrophes] 92a:00002 

Manteuffel, Karl see Flachsmeyer, Jiirgen; et al., 92m:52045 

Quaisser, Erhard see Bohm, Johannes, 92k:52003 

van Ravenstein, Tony see Tognetti, Keith; et al., 92m:11018 

Rigby, J. F. Napoleon, Escher, and tessellations. 92j:52036a 

— Napoléon, Escher et les tessellations. [Napoleon, Escher and tessellations] 92j:52036b 

(Stephan, Galina) see Konforovich, A. G., 92a:00002 

(Stephan, Holger) see Konforovich, A. G., 92a:00002 

Székely, Gabor J. * Paradoxa. (German) [Paradoxes] 92h:60001a 

— *® Paradoxa. (German) [Paradoxes] 92h:60001b 

Tognetti, Keith (with Winley, Graham; van Ravenstein, Tony) The Fibonacci Tree, 
Hofstadter and the golden string. 92m:11018 

(Vas, Eva) see Székely, Gabor J., 92h:60001a and 92h:60001b 

Winley, Graham see Tognetti, Keith; et al., 92m:11018 


00A15_ Bibliographies 


(Anderson-Courtney, Linda) see Index: J. Econometrics, 92m:00007 

Brezinski, Claude * A bibliography on continued fractions, Padé approximation, sequence 
transformation and related subjects. 92j:00011 

(Steen, Lynn Arthur) see Library recommendations for undergraduate mathematics 


Items listed otherwise than by author 
Index: 
Acta Arith. Conspectus materiae tomorum: LI-LX (1988-1992). 
Ann. Inst. Fourier (Grenoble) Index général des auteurs (1949-1989). [General author 
index (1949-1989)] 
Bull. Fac. Ed. Utsunomiya Univ. Sect. 2 Cumulative index: Volumes 1-40 (1950-1990). 
(Japanese) 
Comm. Math. Phys. Author index to Volumes 131-140 (1990-1991). 
Discrete Math. Master index: Volumes 81-90. 92h:00004 
Few-Body Systems Master index: Volumes I-X. 
IEEE Trans. Antennas and Propagation Cumulative index 1985-1990. 92j:00012 
J. Econometrics Subject and author index: Volumes 41-50, 1989-1991. 92m:00007 
J. Reine Angew. Math. Inhaltsverzeichnis der Bande 411-420. [Index to Volumes 41 1- 
420] 
Phys. D Master index to Volumes 1-50: April 1980-July 1991. 
Rev. Mat. Cumulative index: Volumes 1-5, 1985-1989. (Spanish) 
92a:00019 
Seminar Bourbaki Séminaire Bourbaki, 1948/1949 a 1989/1990, Exposés | a 729. 
[Seminar Bourbaki, 1948/1949-1989/1990, Exposés 1-729] 92a:00020 


00A General and miscellaneous specific topics 


00A20 


Index: (cont’d. ) 
— Séminaire Bourbaki, 1948/1949 a 1990/1991, Exposés 1 4 744. [Seminar Bourbaki, 
1948/1949-1990/1991, Exposés 1-744] 92k:00015 
Library recommendations for undergraduate mathematics * Library recommendations for 
undergraduate mathematics. 


Items with secondary classifications in 00A15 

Aczél, Janos (with Aczél, S.) Works on functional equations. XVI. 92f:39001 

Aczél, S. see Aczél, Janos, 92f:39001 

(Bobrow, Daniel G.) see Index: Artificial Intelligence, 92g:68002 

Boguslavskii, L. B. see Takagi, Hideaki, 92i1:60164 

(Brady, Michael) see Index: Artificial Intelligence, 92g:68002 

Corliss, George F. Automatic differentiation bibliography. (see 92h:65031) 

(Degener, Gesine) see Bibliography: German-language Arabistics and Islamic studies, from 
their beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

Dietsch, Ingrid Leibniz-Bibliographie 1991. [Leibniz bibliography 1991] 

Dilcher, Karl (with Skula, Ladislav; Slavut-skii, I. Sh.) * Bernoulli numbers. 92f:11001 

Dubois, Didier (with Prade, Henri; Sessa, Salvatore) Recent literature. 92c:04007 

— (with Prade, Henri; Sessa, Salvatore) Recent literature. 92g:04008 

— (with Prade, Henri; Sessa, Salvatore) Recent literature. 

— (with Prade, Henri; Sessa, Salvatore) Recent literature. 

(Ehrig-Eggert, Carl) see Bibliography: German-language Arabistics and Islamic studies, from 
their beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

Ghoshal, S. K. (with Rajaraman, V.) An annotated bibliography of research in parallel 
computing at the Indian Institute of Science, 1985-1991. 

Gonska, Heinz H. (with Knoop, H.-B.) On Hermite-Fejér interpolation: a bibliography 
(1914-1987). 92d:41003 

Harter, H. Leon * The chronological annotated bibliography of order statistics. Vol. III. 
92:62001 

(Heinekamp, Albert) see Dietsch, Ingrid 

Knoop, H.-B. see Gonska, Heinz H., 92d:41003 

(Leibniz, Gottfried Wilhelm) see Dietsch, Ingrid 

(Léchter, Norbert) see Bibliography: German-language Arabistics and Islamic studies, from 
their beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

(Neu, John A.) see Bibliography: History of science and its cultural influences, 92a:01001 and 
92m:01901 

(Neubauer, Eckhard) see Bibliography: German-language Arabistics and Islamic studies, 
from their beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

(Noor, Ahmed K.) see Pietraszkiewicz, W. 

Paviti¢é, M. Bibliography on quantum logics and related structures. 92m:81001 

Pietraszkiewicz, W. Addendum to: “Bibliography of monographs and surveys on shells” 
[AMR 43 (1990), no. 9, 223-234] by A. K. Noor. 

Prade, Henri see Dubois, Didier; et al., 92c:04007; 92g:04008 

Rajaraman, V. see Ghoshal, S. K. 

(von Randow, R.) see Integer programming and related areas, 92i:90001 

Sessa, Salvatore see Dubois, Didier; et al., 92c:04007; 92g:04008 

(Sezgin, Fuat) see Bibliography: German-language Arabistics and Islamic studies, from their 
beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

Skula, Ladislav see Dilcher, Karl; et al., 92f:11001 

Slavut-skii, I. Sh. see Dilcher, Karl; et al., 92f:11001 

Takagi, Hideaki (with Boguslavskii, L. B.) A supplementary bibliography of books on 
queueing analysis and performance evaluation. 92i:60164 

Térner, Ginter (with Veldkamp, Ferdinand D.) Literature on geometry over rings. 
92h:51006 

Veldkamp, Ferdinand D. see Térner, Giinter, 92h:51006 

(Vougiouklis, Thomas) see Bibliography: Algebraic hyperstructures and applications, 
(92d:20003) 

Wiorkowski, John J. A lightly annotated bibliography of the publications of the American 
Statistical Association. 


Items listed otherwise than by author 
Bibliography: 
Algebraic hyperstructures and applications A bibliography on AHA (algebraic hyperstruc- 
tures and applications). (see 92d:20003) 
Bernoulli numbers see Dilcher, Karl; et al., 92f:11001 
Functional equations see Aczél, Janos, 92:39001 
Fuzzy sets and systems see Dubois, Didier; et al., 92c:04007; 92g:04008 
German-language Arabistics and Islamic studies, from their beginnings to 1986, and 
literature on present-day Arabic countries * Bibliographie der deutschsprachigen 
Arabistik und Islamkunde, von den Anfangen bis 1986 nebst Literatur iiber die 
arabischen Lander der Gegenwart. (German) [Bibliography of German-language 
Arabistics and Islamic studies, from their beginnings to 1986, and literature on present- 
day Arabic countries] 92k:01001 
History of science and its cultural influences Isis current bibliography of the history of 
science and its cultural influences. 1990. 92a:01001 
— Isis current bibliography of the history of science and its cultural influences. 
92m:01001 
Integer programming * Integer programming and related areas. 92i:90001 
Leibniz, Gottfried Wilhelm see Dietsch, Ingrid 
Index: 
Artificial Intelligence Master index—Volumes 1-50. 92g:68002 
Integer programming and reiated areas * Integer programming and related areas. 92i:90001 
Lecture Notes in Economics and Mathematical Systems * Integer programming and related 
areas. 92i:90001 


00A20 Dictionaries and other general reference works 


(Boas, Ralph P.) see Lohwater’s Russian-English dictionary of the mathematical sciences, 
92b:00006 





00A20 


Bronshtein, I. N. (with Semendyaev, K. A.) * Taschenbuch der Mathematik. (German) 
[Handbook of mathematics] 92f:00009 

— (with Semendyaev, K. A.) * Taschenbuch der Mathematik. (German) [Handbook of 
mathematics] 92j:00013 

(Chaikovs‘kii, M. A.) see Dictionary: Mathematics, 92g:00005 

(Gellert, Walter) see Encyclopedia: Mathematics, 92d:00002 

(Gottwald, Siegfried) see Encyclopedia: Mathematics, 92d:00002 

(Grosche, G.) see Bronshtein, I. N., 92j:00013 

(Gudimenko, F.S.) see Dictionary: Mathematics, 92g:00005 

(Hellwich, M.) see Encyclopedia: Mathematics, 92d:00002 

(Kastner, H.) see Encyclopedia: Mathematics, 92d:00002 

Kurtz, Max * Handbook of applied mathematics for engineers and scientists. 92m:00008 

(Kistner, H.) see Encyclopedia: Mathematics, 92d:00002 

(Ledermann, Walter) see Handbook: Applicable mathematics, 92g:00006 

(Lohwater, A. J.) see Lohwater’s Russian-English dictionary of the mathematical sciences, 
92b:00006 

(Pearson, Carl E.) see Handbook: Applied mathematics, 92h:00005 

(Pogrebysskii, I. B.) see Dictionary: Mathematics, 92¢:00005 

(Sakovich, G. N.) see Dictionary: Mathematics, 92g:00005 

von Seggern, David H. * CRC handbook of mathematical curves and surfaces. 92m:00009 

Semendyaev, K. A. see Bronshtein, I. N., 92f:00009 and 92j:00013 

Watters, Carolyn * Dictionary of information science and technology. 92k:00016 

(Ziegler, D.) see Bronshtein, I. N., 92j:00013 

(Ziegler, V.) see Bronsiitein, !. N., 92j:00013 

Zwillinger, Daniel * Handbook of differential equations. 92j:€0014 


Items listed otherwise than by author 
Mathematical sciences * A. J. Lohwater’s Russian-English dictionary of the mathemati- 
cal sciences. 92b:00006 
Mathematics * Pocilicbko-yxpaixcbkui MaTeMaTH4HBE CroBHHK. (Ukrainian) [Russian- 
Ukrainian mathematics dictionary] 92g:00005 
Encyclopedia: 
Mathematics * The VNR concise encyclopedia of mathematics. 92d:00002 
Physics, mathematics and engineering * ®u3uKo-mMaTeMaTH4ecKa H TeXHHYeCKa 
exumknonegua. 1. A-M. (Bulgarian) [An encyclopedia of physics, mathematics and en- 
gineering. 1. A-I] 92c:00003 
Handbook: 
Applicable mathematics * Handbook of applicable mathematics. 92g:00006 
Applied mathematics * Handbook of applied mathematics. 92h:00005 
Applied mathematics for engineers and scientists see Kurtz, Max, 92m:00008 
Mathematical curves and surfaces see von Seggern, David H., 92m:00009 
Mathematics see Bronshtein, I. N., 92f:00009 and 92j:00013 
Lohwater’s Russian-English dictionary of the mathematical sciences * A. J. Lohwater’s 
Russian-English dictionary of the mathematical sciences. 92b:00006 


Items with secondary classifications in 00A20 

(Gottwald, Siegfried) see Dictionary: Eminent mathematicians, 92e:01001 

(Iigauds, Hans-Joachim) see Dictionary: Eminent mathematicians, 92e:01001 

Liineburg, Heinz * Tools and fundamental constructions of combinatorial mathematics. 
92:05001 

(Miiller, Paul Heinz) see Dictionary: Stochastics, 92m:62001 

Poggendorff, J.C. * Biographisch-literarisches Handworterbuch der exakten Naturwis- 
senschaften. Band VIIb. Teil 8. Lieferung 5. (German) [Biographical-literary lexicon of 
the exact natural sciences. Vol. VIIb. Part 8. No. 5] 92c:01050a 

— * Biographisch-literarisches Handwérterbuch der exakten Naturwissenschaften. Band 
VIIb. Teil 9. Lieferung 2. (German) [Biographical-literary lexicon of the exact natural 
sciences. Vol. VIIb. Part 9..No. 2] 92c:01050b 

(Schlote, Karl-Heinz) see Dictionary: Eminent mathematicians, 92e:01001 

Székely, Gabor J. * Paradoxa. (German) [Paradoxes] 92h:60001a 

— * Paradoxa. (German) [Paradoxes] 92h:60001b 

(Vas, Eva) see Székely, Gabor J., 92h:60001a and 92h:60001b 


Items listed otherwise than by author 
Dictionary: 
Eminent mathematicians * Lexikon bedeutender Mathematiker. (German) [Dictionary 
of eminent mathematicians] 92¢e:01001 


Exact natural sciences, biographical-literary see Poggendorff, J. C., 92c:01050a and 
92c:01050b 


Stochastics * Lexikon der Stochastik. (German) [Dictionary of stochastics] 92m:62001 


00A30 Philosophy of mathematics [see also 03A05] 


Abdil’din, Zh. M. (with Kadyrzhanov, R. K.; Nysanbaev, A. N.; et al.) %* JloruKo-rHoceonoru- 
4eCKHK aHanu3 HayKH. (Russian) [Logical-epistemological analysis of science] 92m:00016 
(Aristotle) see Maudlin, Tim, 92a:00023 


Baltas, Aristides On some structural aspects of physical problems. 92m:00011 
Bloor, David The living foundations of mathematics: essay review of The ethnomethodologi- 





cal foundations of mathematics [Routledge & Kegan Paul, London, 1986; MR 88b:00021] 
by Eric Livingston. (Spanish) 92j:00015 

(Bohr, Niels) see Hooker, C. A., 92h:00006 

van Brakel, J. The limited belief in chance. 

(Brandl, Johannes) see Wittg in—t 
92a:00026c 

Campos, Jeanette (with Ruiz Zaniga, Angel) On the origins of rationalism in the philosophy 
of mathematics. (Spanish) (see 92e:00013) 

(Carnap, Rudolf) see Moulines, C.-Ulises 

Cartwright, Nancy (with Jones, Martin R.) How to hunt quantum causes. 

Cohen, Daniel I. A. The superfluous paradigm. (see 92h:00013) 

Davis, Philip J. Applied mathematics as a social contract. (Bulgarian) 92g:00007 





ds a re-evaluation, 92a:00026a; 92a:00026b and 


GENERAL 


(Diez, A.) see Structures in mathematical theories, 92c:00010 

(Dingler, Hugo) see WeiB, Ulrich, 92k:00022 

Dowden, Bradley H. A linear continuum of time. 92i:00006 

(Echeverria, J.) see Structures in mathematical theories, 92c:00010 

(Einstein, Albert) see Maudlin, Tim, 92a:00023 and Hooker, C. A., 92h:00006 

Ernest, Paul The meaning of mathematical expressions: does philosophy shed any light on 
psychology? 92c:00004 

Faddeev, L. D. On the relation between mathematics and physics. (see 92b:58002) 

Ferrarin, Alfredo Mathesis and construction in ancient and modern geometry. (Italian) 

Franklin, James Mathematical necessity and reality. 92b:00007 

Ge, Wei? see Hao, Ke Gang; et al., 92m:00012 

Gennaro, Emanuele Mathematics and philosophy. (Italian. English and French summaries) 
92a:00021 

Giedymin, Jerzy Geometrical and physical conventionalism of Henri Poincaré in epistemo- 
logical formulation. 92¢e:00002 

(Gédel, Kurt Friedrich) see Wang, Hao', 92g:00010 and Yourgrau, Palle, 92j:00020 

Goodman, Nicolas D. Modernizing the philosophy of mathematics. 92e:00003 

Gérnitz, Th. (with Ruhnau, E.; von Weizsacker, C.-F.) Temporal 
tion of experience. The foundation of the arrow of time. 

Gui, Zhi Liang On characteristics and functions of mathematical symbol systems. (Chinese. 
English summary) 92¢:00004 

Hacking, Ian “Style” for historians and philosophers. 

(Haller, Rudolf) see Wittgenstei ds a re-evaluation, 92a:00026a; 92a:00026b and 
92a:00026c 

Hao, Ke Gang (with Ge, Wei’; Jiang, Fu Chun) The relationship between the two 
contending schools in software development methodology and the two ancient schools of 
mathematics—Oriental and Occidental. (Chinese. English summary) 92m:00012 

Henle, James The happy formalist. 92c:00005 

Hirzebruch, Friedrich Axiome, Definitionen, Begriffe in der Mathematik. [Axioms, 
definitions and concepts in mathematics] 92k:00017 

Hooker, C. A. Projection, physical intelligibility, objectivity and completeness: the divergent 
ideals of Bohr and Einstein. 92h:00006 

Hormigén Blazquez, Mariano The heavy legacy of mathematical freedom. (Spanish. English 
summary) 92c:00006 

(Husserl, Edmund) see Mormann, Thomas, 92b:00009 

Ibarra, Andoni (with Mormann, Thomas) What is this “protean” in mathematics? 

— see also Structures in mathematical theories, 92c:00010 

Jiang, Fu Chun see Hao, Ke Gang; et al., 92m:00012 

Jones, Martin R. see Cartwright, Nancy 

Kadyrzhanov, R. K. see Abdil/din, Zh. M.; et al., 92m:00010 

Krieger, Martin H. Theorems as meaningful cultural artifacts: making the world additive. 
92k:00018 

Kyburg, Henry E., Jr. * Science & reason. 92a:00022 

(Lachterman, David Rapport) see Ferrarin, Alfredo 

Lam, Clement W. H. How reliable is a computer-based proof? 92b:00008 

— How reliable is a computer-based proof? (Czech) 92j:00016 

(Leibniz, Gottfried Wilhelm) see Seager, William 

Lerda, F. Artificial intelligence, mathematics and physics: hic Rhodus, hic salta. (Italian. 
English summary) 92k:00019 

(Livingston, Eric) see Bloor, David, 92j:00015 

Luce, L. Literalism and the applicability of arithmetic. 92j:00017 

Maddy, Penelope * Realism in mathematics. 92h:00007 

Madguerova, Andreana Stefanova * On time’s models of mathematical physics. 

Markley, Robert Representing order: natural philosophy, mathematics, and theology in the 
Newtonian revolution. 92k:00020 

Maudlin, Tim Substances and space-time: what Aristotle would have said to Einstein. 
92a:00023 

Mercier, André The problem of the imperfection of a world, itself created by a perfect God. 

Mormann, Thomas Husserl’s philosophy of science and the semantic approach. 92b:00009 

— see also Ibarra, Andoni 

Moulines, C.-Ulises Making sense of Carnap’s “Aufbau”. 

Mukhin, Yu. N. Mathematics “all by itself”. (Russian) (see 92h:00011) 

(NeSettilova, Helena) see Lam, Clement W. H., 92j:00016 and Péter, Rézsa, 92m:00013 

Niu, Jia Ji On the unity of logic and history in mathematics. (Chinese. English summary) 

Nysanbaev, A. N. see Abdil’din, Zh. M.; et al., 92m:00019 

(Ovadieva, B.) see Davis, Philip J., 92g:00007 

(Panov, M. 1.) see Methodological problems in the development and application of mathemat- 
ics, 92b:00014 

Péter, Rézsa Mathematics is beautiful. (Czech) 92m:00013 

(Planck, Max) see Schiiler, Jiirgen, 92i:00007 

(Poincaré, Henri) see Giedymin, Jerzy, 92e:00002 and Stump, David, 92k:00021 

Quine, Willard Van Orman * Pursuit of truth. 92c:01012 

Ramirez, Santiago Encountering the cosmos: the philosophy of chaos. (Spanish) 92g:00008 

— The experience of chaos. (Spanish) 92j:00018 

Reichel, Hans-Christian Mathematik als Paradigma und Propadeutik der Philosophie. 
[Mathematics as paradigm and propaedeutics in philosophy] 92a:00024 

Rota, Gian-Carlo Mathematics and philosophy: history of a misunderstanding. (Italian. 
English summary) 92b:00010 

— The concept of mathematical truth. 92¢:00007 

Roussopoulos, George Analytico-referentiality and legitimation in modern mathematics. 
92a:00025 

Ruhnan, E. see Gornitz, Th.; et al. 

Ruiz Ziiftiiga, Angel Methodological polemics in the history of science and mathematics. 
(Spanish) (see 92e:00013) 

— see also Campos, Jeanette, (92e:00013) 

Schiller, Jiirgen Zur Indeterminismuskritik von Max Planck. [On Max Planck’s critique of 
indeterminism] 92i:00007 

Seager, William The worm in the cheese. Leibniz, consciousness and matter. 

Sharma, C.S. Natural geometry. 92i:00008 





y try as p 








1992 00A General and miscellaneous specific topics 


Sheinin, O. B. The notion of randomness from Aristotle to Poincaré. (French summary) 
92g:00009 

Squires, Euan J. * Conscious mind in the physical world. 92b:00011 

Strauss, Daniél F.M. The ontological status of the principle of the excluded middle. 
92j:00019 

Stump, David Poincaré’s thesis of the translatability of Euclidean and non-Euclidean 
geometries. 92k:00021 

(Svirezhev, Yu. M.) see Usmanov, Z. D., 92c:00008 

Thomas, R.S.D. Meanings in ordinary language and in mathematics. 92m:00014 

Torretti, Roberto * Creative understanding. 92b:00012 

Usmanov, Z. D. * Moyenuposanue Bpemenn. (Russian) [Modeling of time] 92c:00008 

Voitsekhovich, V. E. The formation and development of a mathematical theory. (Russian) 
92m:00015 

Wang, Hao’ To and from philosophy—di ions with Gédel and Wittgenstein. 
92g:00010 

Wang, Qian see Xie, En Ze; et al. 

WeiB, Ulrich * Hugo Dinglers methodische Philosophie. (German) [Hugo Dingler’s 
methodical philosophy] 92k:00022 

von Weizsacker, C.-F. see Gérnitz, Th.; 3 et all. 

(Wittgenstein, Ludwig) see Wittg 
92a:00026c and Wang, Hao’, 92g:00010 

Xie, En Ze (with Wang, Qian) The subject and object relation in mathematical knowledge 
pursuits. (Chinese. English summary) 

Xu, Ben Shun (with Yin, Qi Zheng) * Shuxue zhong de meixue fangfa. (Chinese) 
[Aesthetic methods in mathematics] 92b:00013 

Yin, Qi Zheng see Xu, Ben Shun, 92b:00013 

Yourgrau, Palle * The disappearance of time. 92j:00020 

Zheng, Yu Xin From the logic of mathematical discovery to the methodology of scientific 
research programmes. 

— The methodology of mathematics: its content, nature and significance. (Chinese. English 
summary) 








ds a re-evaluation, 92a:00026a; 92a:00026b; 


Items listed otherwise than by author 
Anniversary: 
Birth of Wittgenstein, Ludwig * Wittg i ds a re-eval 

-* Wittgenstein—towards a re-evaluation. II. 92a:00026b 

—* Wi ds a re-evaluation. III. 92a:00026c 

Kirchberg am Wechsel * Wittgenstein—towards a re-evaluation. I. 92a:00026a 
— * Wittg towards a re-evaluation. II. 92a:00026b 
ion. III. 92a:00026c 





ion. I. 92a:00026a 








— * Wittg i ds a re-e 
Methodological problems in the development and application of mathematics * Metogonoru- 
yeckHe npo6yleMbI pa3BHTHA H IpHMeHeHHA MaTemMaTuKK. (Russian) [Methodological 
problems in the development and application of mathematics] 92b:00014 
San Sebastian * Structures in mathematical theories. 92c:00010 
Structures in mathematical theories * Structures in mathematical theories. 92c:00010 
Symposium: 
Structures in Mathematical Theories * Structures in mathematical theories. 92c:00010 
Wittgenstein * Wittg towards a re-ev ion. I. 92a:00026a 
-* Wittgenstein—towards a re-evaluation. II. 92a:00026b 
ds a re-evaluation. III. 920:00026c 
ds a re-evaluation * Wi 




















ds a re-evaluation. II. 92a:00026b 
ds a re-evaluation. III. 92a:00026c 


Items with secondary classifications in 00A30 


Achinstein, Peter * Particles and waves. 92h:01027 

(Akchurin, I. A.) see Heisenberg, Werner Kari, 92a:01082 

(Akhutin, A. V.) see Heisenberg, Werner Karl, 92a:01082 and Weyl, Hermann, 92e:01081 

(Andreev, E. P.) see Heisenberg, Werner Karl, 92a:01082 

Annas, Julia Die Gegenstande der Mathematik bei Aristoteles. [The subjects of mathemat- 
ics in the work of Aristotle] (see 92c:01010) 

Antolin, Antonio Philosophy and mathematics in the eighteenth century. (Spanish) 
92h:01023 

(Ariew, Roger) see Leibniz, Gottfried Wilhelm, 92d:01079 and Pierre Duhem: historian and 
philosopher of science, 92f:01004b 

(Aristotle) see Eremina, V. M., 92h:01004; Annas, Julia, (92c:01010); Mignucci, Mario, 
(92c:01010) and Burnyeat, M. F., (92c:01010) 

Ascher, Marcia * Ethnomathematics. 92c:01006 

Atmanspacher, Harald (with Weinberger, Edward D.) Epilogue: dualities, context, and 
meaning. (see 92f:00011) 

Barantsev, R.G. Asymptotic versus classical mathematics. 92g:01047 

— Prospects of asymptotic mathematics. (Russian) (see 92b:00031) 

(Barker, Peter) see Pierre Duhem: historian and philosopher of science, 92f:01004b 

Barnes, Eric Beyond verisimilitude: a linguistically invariant basis for scientific progress. 

(Bazhanov, V. A.) see van Heijenoort, Jean, 92m:01031 

Bertoloni Meli, Domenico Some aspects of the interaction between natural philosophy and 
mathematics in Leibniz. 92j:01020 

Beynon, Meurig (with Russ, Steve) The development and use of variables in mathematics 
and computer science. (see 92h:00013) 

(Bibikhin, V. V.) see Heisenberg, Werner Karl, 92a:01082 

(Biryukov, B. V.) see Weyl, Hermann, 92e:01081 

Biekhman, I. I. (with Myshkis, A. D.; Panovko, Ya. G.) * Mexanuka 4 IpHkiaqHas 
MatematTuka. (Russian) [Mechanics and applied mathematics] 92g:00011 

Blum, Paul Richard Erfahrung, Weltbild und Erkenntnis bei Nikolaus Cusanus. (English 
summary) [Experience, world view and recognition in Nicholas of Cusa] 

Bobo, Seke Quelques histoires simples pour Héléne. [Some simple stories for Helen] 
92g:03090 

(Bohr, Niels) see Idlis, G. M., 92g:01050 

(Boltzmann, Ludwig) see D’Agostino, S., 92b:01028 





00A30 


(Bolzano, Bernard) see Spalt, Detlef D., (92d:01023) and Otte, Michael, (92d:01023) 

Bonsiepen, Wolfgang Hegels Theorie des qualitativen Quantitatsverhaltnisses. (English 
summary) [Hegel’s theory of the qualitative ratio of quantity] (see 92d:01623) 

(Brouwer, Luitzen Egbertus Jan) see van Stigt, Walter P., 924:01054 

Buchwald, Jed Z. Kinds and the wave theory of light. 

Burgess, John P. Synthetic mechanics revisited. 92f:03008 

Burkhardt, Hans (with Dufour, Carlos A.) Infinity in Leibniz’s metaphysics. (see 
92b:01003) 

Burnyeat, M. F. Platonism and mathematics: a prelude to discussion. (see 92c:01010) 

(Busche, Jiirgen) see Heisenberg, Werner Karl, 92a:01081 

(Cambray Nuiiez, Rodrigo) see Lowe, Victor, 92a:01054 and 92a:01055 

Campos, Jeanette (with Ruiz Ziiiga, Angel) Metaphysics, method and mathematics in 
Descartes. (Spanish) (see 92e:00013) 

— (with Ruiz Zuniga, Angel) Metaphysics, epistemology and mathematics in Spinoza and 
Leibniz. (Spanish) (see 92e:00013) 

(Carnap, Rudolf) see Reyes Rivas, Roxana, (92¢:00013) 

Carvalho e Silva, Jaime M. M. see Duarte, Anténio Leal, (92g:00024) 

(Cauchy, Augustin-Louis) see Laugwitz, Detlef, (92d:01023) 

(Cavalieri, Bonaventura) see Moretto, Antonio, (92d:01023) 

Chaikovskii, Yu. V. The history of science and teaching science (using the example of the 
concepts of “randomness” and “probability”). (Russian. English summary) 92c:01004 

Chernavskii, D.S. * Cunepreruxa 4 uncopmauua. (Russian) [Synergetics and information] 
92c:00011 

Couture, Jocelyne (with Lambek, Joachim) Philosophical reflections on the foundations of 
mathematics. 92c:03004 

— (with Lambek, Joachim) Erratum: “Philosophical reflections on the foundations of 
mathematics” [Erkenntnis 34 (1991), no. 2, 187-209; MR 92c:03004]. 

(Craige, John) see Nash, Richard, 92e:01033 

(da Cunha, José Anastdcio) see Duarte, Anténio Leal, (92g:00024) 

D’Agostino, S. Boltzmann and Hertz on the Bild-conception of physical theory. 92b:01628 

(Danilov, Yu. A.) see Weyl, Hermann, 92e:01081 

{Dellian, Ed) see Newton, Isaac, 92e:01079 

(Descartes, René) see Lo Bello, Anthony, 92g:01032 and Campos, Jeanette, (92e:00013) 

Detlefsen, Michael On an alleged refutation of Hilbert’s program using Gédel’s first 
incompleteness theorem. 92b:03057 

(Dijkstra, Edsger W.) see van Gasteren, A. J. M., 92f:68109 

Doob, J. L. Probability vs. measure. (see 92m:01044) 

Duarte, Anténio Leal (with Carvalho e Silva, Jaime M. M.) Some comments on the 
Mathematical principles of José Anastacio da Cunha. (Portuguese. English summary) (see 
92g:00024) 

Dufour, Carlos A. see Burkhardt, Hans, (92b:01003) 

Dugac, Pierre La théorie des fonctions analytiques de Lagrange et la notion d’infini. (English 
summary) [Lagrange’s theory of analytic functions, and the concept of infinity] (see 
92d:01023) 

(Duhem, Pierre) see Pierre Duhem: historian and philosopher of science, 92f:01004b 

Engeler, Erwin Zur wissenschaftstheoretischen Bedeutung der kombinatorischen Algebra. 
[On the significance of combinatory algebra for the theory of science] 92m:03016 

(Engels, Friedrich) see van Heijenoort, Jean, 92m:01031 

Eremina, V. M. Aristotle on transitional unprovable propositions and five general concepts 
of Euclid. (Russian) 92h:01004 

(Euclid) see Eremina, V. M., 92h:01004 

(Euler, Leonhard) see Laugwitz, Detlef, (92d:01023) 

Fagin, Ronald (with Halpern, Joseph Y.; Vardi, Moshe Y.) A model-theoretic analysis of 
knowledge. 92f:68172 

Fang, Joong A “racistic” history of sorts. 

Fichant, Michel Neue Einblicke in Leibniz’ Reform seiner Dynamik (1678). (French 
summary) [New insights into Leibniz’ reform of his dynamics (1678)] 

Field, Hartry * Realism, mathematics and modality. 92b:03003 

— Metalogic and modality. 92j:03002 

Fisch, Menachem * William Whewell, philosopher of science. 92i:01017 

(Frege, Gottlob) see Kaschmieder, Hartfried, 92f:01029; Weiner, Joan, 92m:03009 and Otte, 
Michael, (92d:01023) 

(Fries, J. F.) see Schubring, Gert, (92d:01023) 

(Gabriel, Gottfried) see Lotze, Rudolf Hermann, 92d:01080a 

(Garber, Daniel) see Leibniz, Gottfried Wilhelm, 92d:01079 

van Gasteren, A. J. M. * On the shape of mathematical arguments. 92f:68109 

Gillispie, Charles Coulston * The edge of objectivity. 92j:01078 

Gisin, Nicolas Propensities in a nondeterministic physics. 92h:81014 

(Grassmann, Hermann) see Otte, Michael, (92d:01023) 

Grattan-Guinness, Ivor Small talk in Parisian circles, 1800-1830: mathematical models of 
continuous matter. (see 92d:01023) 

— Bertrand Russell (1872-1970) after twenty years. 92e:01058 

Griffin, Nicholas Non-Euclidean geometry: still some problems for Kant. Comment on: 
“The sensible foundation for mathematics: a defense of Kant’s view” [Stud. Hist. Philos. 
Sci. 21 (1990), no. 1, 123-143; MR 91c:01026] by M. Risjord. 92k:01014b 

— see also Risjord, Mark, 92k:01014c 

Hailperin, Theodore Probability logic in the twentieth century. 92j:01044 

Halpern, Joseph Y. see Fagin, Ronald; et al., 92f:68172 

Hardy, Godfrey Harold * A mathematician’s apology. 92j:01070 

Hazen, A. P. Small sets. 

Healey, Richard A. * The philosophy of quantum mechanics. 92m:81012 

Hecht, Hartmut (with Hoffmann, Dieter) Die Berliner “Gesellschaft fiir wissenschaftliche 
Philosophie”. [The Berlin Society for Scientific Philosophy] 

(Hegel, G. W. F.) see Moretto, Antonio, (92d:01023); Bonsiepen, Wolfgang, (92d:01023) and 
Klaucke, Andreas, (92d:01023) 

van Heijenoort, Jean F. Engels and mathematics. (Russian) 92m:01031 

Heisenberg, Werner Karl * Quantentheorie und Philosophie. (German) [Quantum theory 
and philosophy] 92a:01081 

— & @u3uka u dunocodua. Uacts u wesoe. (Russian) [Physics and philosophy. Part and 
whole] 92a:01082 








00A30 


Henry, Paul A question concerning mathematics and the Enlightenment. (Spanish) 
92h:01025 

Hensel, Susann (with Ihmig, Karl-Norbert; Otte, Michael) * Mathematik und Technik 
im 19. Jahrhundert in Deutschland. (German) [Mathematics and technology in the 19th 
century in Germany] 92c:01023 

Hentschel, Klaus * Interpretationen und Fehlinterpretationen der speziellen und der allge- 
meinen Relativitatstheorie durch Zeitgenossen Albert Einsteins. (German) [Interpreta- 
tions and wrong interpretations of special and general relativity theory by contemporaries 
of Albert Einstein] 92g:01049 

(Herbart, J. F.) see Jahnke, Hans Niels, (92d:01023) 

(Hersh, Reuben) see New directions in the philosophy of mathematics, 92d:00029 and Tharp, 
Leslie H., 92i:03007 

(Hertz, Heinrich Rudolf) see D’Agostino, S., 92b:01028 

Hoffmann, Dieter see Hecht, Hartmut 

Hrube3, Jaromir The relation between algebraic content and form. (Czech. English 
summary) 92h:01086 

Idlis, G. M. The unity of natural science according to Bohr and uniform interconnected 
periodic systems in physics, chemistry, biology and psychology. I. (Russian) 92g:01050 

Thmig, Karl-Norbert see Hensel, Susann; et al., 92c:01023 

Jahnke, Hans Niels J. F. Herbart: Nach-Kantische Philosophie und Theoretisierung 
der Mathematik. (English summary) [J. F. Herbart: post-Kantian philosophy and 
theoretization of mathematics] (see 92d:01023) 

— Hilbert, Weyl und die Philosophie der Mathematik. [Hilbert, Weyl and the philosophy of 
mathematics] 92b:01043 

Janich, Peter Geschwindigkeit und Zeit. Aristoteles und Augustinus als Lehrmeister der 
modernen Physik? [Velocity and time. Aristotle and Augustine as teachers of modern 
physics?] (see 92e:83001) 

(Johnson, Jeffrey Horace) see Mathematical revolution inspired by computing, 92h:00013 

(Kant, Immanuel) see Leavitt, Frank J., 92k:01014a; Griffin, Nicholas, 92k:01014b and 
Risjord, Mark, 92k:01014c 

Kaschmieder, Hartfried * Beurteilbarer Inhalt und Gedanke in der Philosophie Gottlob 
Freges. (German) [Judgeable content and thought in the philosophy of Gottlob Frege] 
92:01029 

(Kepler, Johannes) see Krafft, Fritz, 92m:01019 

Klaucke, Andreas Hegels Lagrange-Rezeption. (English summary) [Hegel’s understanding 
of Lagrange] (see 92d:01023) 

Kleiner, Israel Rigor and proof in mathematics: a historical perspective. 92m:01007 

Kobzarev, I. Yu. (with Manin, Yu. I.) * Elementary particles. 92f:81019 

Kolesnikov, A. S. * ®unocodus Beprpana Paccena. (Russian) [The philosophy of Bertrand 
Russell] 924:01045 

(Konig, Gert) see Concepts of the mathematically infinite in the 19th century, 92d:01023 

(Korteweg, D. J.) see van Stigt, Walter P., 92d:01054 

Krafft, Fritz Erfahrung und Vorurteil im naturwissenschaftlichen Denken Johannes Keplers. 
(English summary) [Experience and preconception in the scientific thought of Johannes 
Kepler] 92m:01019 

Krips, Henry * The metaphysics of quantum theory. 92m:81014 

Kriiger, Lorenz Method, theory, and statistics: the lesson of physics. (see 92i:00019) 

Kusraev, A. G. (with Kutateladze, S. S.) * HecrangaprHbie MeTogbI aHamu3a. (Russian) 
[Nonstandard methods of analysis] 92c:03074 

Kutateladze, S.S. Directions in nonstandard analysis. (Russian) 92c:01034a 

— Credenda of nonstandard analysis [translation of Trudy Inst. Mat. (Novosibirsk) 14 
(1989), Sovrem. Probl. Geom. Analiz., 153-182; MR 92c:01034a]. 92¢:01034b 

— see also Kusraev, A. G., 92c:03074 

(Lagrange, Joseph Louis) see Dugac, Pierre, (92d:01023) and Klaucke, Andreas, (92d:01023) 

Lambek, Joachim see Couture, Jocelyne, 92c:03004( 

Lambert M., Bill Mathematics as experimental science: the case of fractals and determinis- 
tic chaos. (Spanish) (see 92e:00013) 

Laugwitz, Detlef Das mathematisch Unendliche bei Euler und Cauchy. (English summary) 
[The mathematically infinite in the works of Euler and Cauchy] (see 92d:01623) 

Lauth, Bernhard Theory evolution and reference kinematics. 92i:03011 

Leavitt, Frank J. Kant’s schematism and his philosophy of geometry. Comment on: “The 
sensible foundation for mathematics: a defense of Kant’s view” [Stud. Hist. Philos. Sci. 21 
(1990), no. 1, 123-143; MR 91c:01026] by M. Risjord. 92k:01014a 

— see also Risjord, Mark, 92k:01014c 

(Leff, Harvey S.) see Maxwell’s demon, 92h:82003 

Leibniz, Gottfried Wilhelm * Philosophical essays. 92d:01079 

— see also van Rijen, Jeroen, 92a:03003; Robinet, André, 92h:01022; Wallwitz, Georg Graf, 
92i:01015; Bertoloni Meli, Domenico, 92j:01020; McNamara, Paul; Fichant, Michel; 
Campos, Jeanette, (92e:00013) and Burkhardt, Hans, (92b:01003) 

Lin, Shu-Kun Time symmetry and thermodynamics. 92i:80002 

Lo Bello, Anthony Descartes and the philosophy of mathematics. 92g:01032 

(Loomes, M. J.) see Mathematical revolution inspired by computing, 92h:00013 

Lotze, Rudolf Hermann * Logik. Erstes Buch: vom Denken (Reine Logik). (German) 
[Logic. First book: on thinking (pure logic)] 92d:01080a 

Lowe, Victor The first period of the works of Whitehead (ca. 1891-1913): Universal algebra 
and Principia mathematica. 1.(Spanish) 92a:01054 

— The first period of the works of Whitehead. II. (Spanish) 92a:01055 

Macnamara, John Understanding induction. 

Maddy, Penelope Philosophy of mathematics: prospects for the 1990s. 92i:03006 

Mainzer, Klaus Philosophie und Geschichte von Raum und Zeit. {Philosophy and history of 
space and time] (see 92e:83001) 

Manin, Yu. I. see Kobzarev, I. Yu., 92f:81019 

McLarty, Colin The uses and abuses of the history of topos theory. 92b:01044 

McNamara, Paul Leibniz on creation, contingency and per-se modality. (German summary) 

Mehrtens, Herbert %* Moderne—Sprache—Mathematik. (German) [Modernity— 
language—mathematics] 92g:01005 

Mignucci, Mario Aristotle’s arithmetic. (see 92c:01010) 

(Miller, Arthur I.) see Sixty-two years of uncertainty, 92f:81014 

Mittelstaedt, Peter * Der Zeitbegriff in der Physik. (German) [The concept of time in 
physics] 924:83001 





GENERAL 


1992 


Moretto, Antonio Hegels Auseinandersetzung mit Cavalieri und ihre Bedeutung fiir seine 
Philosophie der Mathematik. (English summary) [Hegel’s dispute with Cavalieri and its 
significance for his philosophy of mathematics] (see 92d:01023) 

Myshkis, A. D. see Blekhman, I. 1.; et al., 92g:00011 

Nash, Richard * John Craige’s Mathematical principles of Christian theology. 92e:01033 

Nerlich, Graham How Euclidean geometry has misled metaphysics. 

Newton, Isaac * Mathematische Grundlagen der Naturphilosophie. (German) [Mathemati- 
cal principles of natural philosophy] 92e:01079 

(Nicholas of Cusa) see Blum, Paul Richard 

Nicolas, Juan A. Universalitat des Prinzips vom zureichenden Grund. (French summary) 
[Universality of the principle of sufficient reason] 

(Norman, Jean) see Paraconsistent logic, 92m:03036 

Otte, Michael Gleichheit und Gegenstandlichkeit in der Begriindung der Mathematik 
im 19. Jahrhundert—dargestellt am Beispiel der Auffassungen von H. Grassmann, B. 
Bolzano und G. Frege. (English summary) [Equality and concreteness in the foundations 
of mathematics in the 19th century—illustrated on the example of the views of H. 
Grassmann, B. Bolzano and G. Frege] (see 92d:01023) 

— see also Hensel, Susann; et al., 92c:01023 

Panovko, Ya. G. see Blekhman, I. L.; et al., 92g:00011 

(Parshin, A. N.) see Weyl, Hermann, 92e:01081 

Patzig, Ginther Das Programm von M und seine Ausfiihrung. [The program of M and its 
execution] (see 92c:01010) 

Peckhaus, Volker * Hilbertprogramm und Kritische Philosophie. (German) [The Hilbert 
program and critical philosophy] 92g:01054 

(Plato) see Burnyeat, M. F., (92c:01010) 

(Priest,Graham) see Paraconsistent logic, 92m:03036 

Prugovetki, Eduard Realism, positivism, instrumentalism, and quantum geometry. 
92m:01040 

(Quine, Willard Van Orman) see Reyes Rivas, Roxana, (92e:00013) 

Radbruch, Knut Mathematik a la Philosophie—Philosophie 4 la Mathematik: ein his- 
torischer Uberblick. [Mathematics a la philosophy—philosophy a la mathematics: a his- 
torical survey] 92¢:01008 

(Rex, Andrew F.) see Maxwell’s demon, 92h:82003 

Reyes Rivas, Roxana Carnap, Quine and Tait: on mathematical existence. (Spanish. English 
summary) (see 92e:00013) 

van Rijen, Jeroen Some misconceptions about Leibniz and the Calculi of 1679. (German 
summary) 92a:03003 

Risjord, Mark Further reflections on the sensible foundations. Comment on: “Kant’s 
schematism and his philosophy of geometry” [Stud. Hist. Philos. Sci. 22 (1991), no. 4, 
647-659] by F. J. Leavitt and “Non-Euclidean geometry: still some problems for Kant” 
[ibid. 22 (1991), no. 4, 661-663] by N. Griffin. 92k:01014c 

— see also Leavitt, Frank J., 92k:01014a and Griffin, Nicholas, 92k:01014b 

Robinet, André * Architectonique disjonctive, automates systémiques et idéalité transcen- 
dantale dans I’ceuvre de G. W. Leibniz. (French) [Disjunctive architectonics, systemic au- 
tomata and transcendental ideality in the works of G. W. Leibniz] 92h:01022 

Rothman, Tony * Science 4 la mode. 92j:01080 

de Rouilhan, Philippe Sur la formation de la notion de validité. (Polish summary) [On the 
formation of the notion of validity] 92b:03005 

(Routley, Richard) see Paraconsistent logic, 92m:03036 

Ruiz Zuifiga, Angel Epistemology and science in antiquity: the case of Epicureanism. 
(Spanish) (see 92e:00013) 

— see also Campos, Jeanette, (92e:00013) and (92e:00013) 

Russ, Steve see Beynon, Meurig, (92h:00013) 

(Russell, Bertrand A. W.) see Kolesnikov, A. S., 92d:01045 and Grattan-Guinness, Ivor, 
92e:01058 

Sachs, Mendel Einstein and the evolution of twentieth-century physics. (French summary) 
92c:01038 

Schatz, Riidiger Formalizing falsification: three delete operations. 92g:03015 

Schubring, Gert Das mathematisch Unendliche bei J. F. Fries. (English summary) [The 
mathematically infinite in the work of J. F. Fries] (see 92d:01023) 

Schurz, Gerhard Relevant deduction: from solving paradoxes towards a general theory. 
92h:03029 

Seuren, Pieter A.M. Neue Entwicklungen im Wahrheitsbegriff. (English summary) [New 
developments in the concept of truth] 92¢:03007 

Shanker, S.G. The dawning of (machine) intelligence. 92a:01013 

Simms, John C. Sierpitiski’s theorem. 92j:01052 

Smale, Stephen Some remarks on the foundations of numerical analysis [MR 91k:00007]. 
(see 92¢:58001) 

(Snow, C. P.) see Hardy, Godfrey Harold, 92j:01070 

Spalt, Detlef D. Die Unendlichkeiten bei Bernard Bolzano. (English summary) [The 
infinities in the work of Bernard Bolzano] (see 92d:01023) 

(Spinoza, Baruch) see Campos, Jeanette, (92e:00013) 

Stalnaker, Robert The problem of logical omniscience. I. 

van Stigt, Walter P. * Brouwer’s intuitionism. 92d:01054 

Stigum, Bernt P. * Toward a formal science of economics. 92g:90005 

Summerfield, Donna M. Wittgenstein on logical form and Kantian geometry. 

(Tait, W. W.) see Reyes Rivas, Roxana, (92¢:00013) 

Tharp, Leslie H. Myth & math. II (preliminary draft). 92i:03007 

Tieszen, Richard L. * Mathematical intuition. 92g:03008 

Tymoczko, Thomas Mathematics, science and ontology. 92i:03008 

Vardi, Moshe Y. see Fagin, Ronald; et al., 92f:68172 

(Vasilevich, A. P.) see Weyl, Hermann, 92e:01081 

Vega Reiién, Luis * La trama de la demostraci6n. (Spanish) [The web of demonstration] 
92g:01013 

Wallwitz, Georg Graf Strukturelle Probleme in Leibniz’ Analysis situs. (English summary) 
[Structural problems in Leibniz’ Analysis situs] 92i:01015 

Wang, Hao! * Computation, logic, philosophy. 92j:01074 

Wang, Qian On Platonism in mathematics. (Chinese) 92a:03006 

Wang, Zi Kun' On randomness. (Chinese. English summary) 

Weinberger, Edward D. see Atmanspacher, Harald, (92f:00011) 





1992 


Weiner, Joan * Frege in perspective. 92m:03009 

Weyl, Hermann * Matematuyeckoe Mbiuienne. (Russian) [Mathematical thought] 
92e:01081 

(Whewell, William) see Fisch, Menachem, 92i:01017 

(Whitehead, Alfred North) see Lowe, Victor, 92a:01054 and 92a:01055 

(Wittgenstein, Ludwig) see Summerfield, Donna M. 


Items listed otherwise than by author 
Bibliography: 

Frege, Gottlob see Weiner, Joan, 92m:03009 

Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 924:01079 

Maxwell’s demon * Maxwell’s demon. 92h:82003 

Paraconsistency * Paraconsistent logic. 92m:03036 

Biography: 

Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 924:01079 

Russell, Bertrand A. W. see Kolesnikov, A. S., 92d:01045 

Weyl, Hermann see Weyl, Hermann, 92e:01081 

Brighton * The mathematical revolution inspired by computing. 92h:00013 
Colloquium: 

Philosophy and History of Mathematics * II Coloquio Internacional de Filosofia e 
Historia de las Matematicas. (Spanish) [2nd International Colloquium on Philosophy 
and History of Mathematics] 92i:00022 

Concepts of the mathematically infinite in the 19th century * Konzepte des mathematisch 
Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 
the 19th century] 92d:01023 

Conference: 

Mathematical Revolution Inspired by Computing * The mathematical revolution inspired 

by computing. 92h:00013 

Correspondence: 
Leibniz. G. W. see Leibniz, Gottfried Wilhelm, 92d:01079 

Erice * Sixty-two years of uncertainty. 92f:81014 

Essays: 
Leibniz, G. W. see Leibniz, Gottfried Wilhe!m, 92d:01079 

Konzepte des mathematisch Unendlichen im 19. Jahrhundert * Konzepte des mathematisch 
Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 
the 19th century] 92d:01023 

Mathematical revolution inspired by computing * The mathematical revolution inspired by 
computing. 92h:00013 

Maxwell’s demon * Maxwell’s demon. 92h:82003 

Meeting: 

American Association for the Advancement of Science * New directions in the philosophy 

of mathematics. 92d4:00029 

México City * II Coloquio Internacional de Filosofia e Historia de las Matematicas. 
(Spanish) [2nd International Colloquium on Philosophy and History of Mathematics] 
92i:00022 

NATO Advanced Study Institute: 
Sixty-two Years of Uncertainty * Sixty-two years of uncertainty. 92f:81014 

New directions in the philosophy of mathematics * New directions in the philosophy of 
mathematics. 92d:00029 

New Orleans, LA * New directions in the philosophy of mathematics. 924:00029 

Paraconsistent logic * Paraconsistent logic. 92m:03036 

Pierre Duhem: historian and philosopher of science * Pierre Duhem: historian and 
philosopher of science. Part II. 92f:01004b 

Sixty-two years of uncertainty * Sixty-two years of uncertainty. 92f:81014 

Symposium: 

New Directions in the Philosophy of Mathematics * New directions in the philosophy of 
mathematics. 924:00029 


00A35 Methodology of mathematics, didactics 


Adomian, George A. (with Rach, R. C.; Meyers, R. E.) An efficient methodology for the 
physical sciences. 92m:00016 


Barantsev, R.G. Prospects of asymptotic mathematics. (Russian) (see 92b:00031) 


Becker, Gerhard Die Bedeutung von Analogien fiir das Lehren und Lernen von Mathematik. 


[The significance of analogies for teaching and studying mathematics] 

Hilton, Peter J. The contribution of mathematics to education. 92j:00021 

Klionskii, A. B. The method of mathematical induction and the theory of differential 
equations. (Russian) (see 92b:00031) 

Luzzatto, Stefano Is philosophy detrimental to mathematics education? 

Mac Lane, Saunders Algebra as a means of understanding mathematics. 92j:00022 

Meyers, R. E. see Adomian, George A.; et al., 92m:00016 

Murakami, Haruo Teaching mathematics to students not majoring in mathematics— 
present situation and future prospects. (see 92m:00054) 

Pélya, George * How to solve it. 92a:00027 

— * Mathematics and plausible reasoning. Vol. I. 92a:00028a 

— * Mathematics and plausible reasoning. Vol. II. 92a:00028b 

Rach, R.C. see Ademian, George A.; et al., 92m:00016 

(Tall, David) see Advanced mathematical thinking, 92h:00008 

Viviente Mateu, José L. The importance of geometry in education. (Spanish) (see 
92m:00053) 

Walther, G. Thoughts about openness in mathematics education. (see 924:05003) 

Xi, Zhen Wei (with Xu, Ben Shun) A brief discussion on mathematical symbols. (Chinese. 
English summary) 

Xu, Ben Shun see Xi, Zhen Wei; et al. 


Items listed otherwise than by author 
Advanced mathematical thinking * Advanced mathematical thinking. 92h:00008 


Items with secondary classifications in 00A35 
Achinstein, Peter * Particles and waves. 92h:01027 


00A General and miscellaneous specific topics 


00A69 


Chaikovskii, Yu. V. The history of science and teaching science (using the example of the 
concepts of “randomness” and “probability”). (Russian. English summary) 92c:01004 

Choquet, Gustave Peut-on renouveler ses champs d’intérét? Essai de réponses concrétes. 
[Can one renew one’s fields of interest? An attempt at some concrete answers] 92m:00001 

(Diez, A.) see Structures in mathematical theories, 92c:00010 

(Echeverria, J.) see Structures in mathematical theories, 92c:00010 

(Gabriel, Gottfried) see Lotze, Rudolf Hermann, 924:01080a 

Gilbert, George T. Positive definite matrices and Sylvester’s criterion. 92a:15009 

Hacking, Ian “Style” for historians and philosophers. 

Heise, Werner (with Sérensen, Kay) Was Sie schon immer iber affine Punktraume wissen 
wollten oder Keine Angst vor Translationen. (English summary) [Everything you always 
wanted to know about affine point spaces or Don’t be afraid of translations] 92k:51032 

(Ibarra, Andoni) see Structures in mathematical theories, 92c:00010 

Jahnke, Hans Niels * Mathematik und Bildung in der Humboldtschen Reform. (German) 
[Mathematics and education in Humboldt’s reform] 92h:01084 

Jiirgens, Hartmut see Peitgen, Heinz-Otto; et al., 92k:00023 

Kappraff, Jay * Connections. 92a:00030 

Kapur, J. N. * Fascinating world of mathematical sciences. Vol. IV. 92a:00009a 

— * Fascinating world of mathematical sciences. Vol. V. 92a:00009b 

— * Fascinating world of mathematical sciences. Vol. VI. 92a:00009c 

Kleiner, Israel Rigor and proof in mathematics: a historical perspective. 92m:01007 

Konforovich, A. G. * Logischen Katastrophen auf der Spur. (German) [On the track of 
logical catastrophes] 92a:00002 

Kusraev, A. G. (with Kutateladze, S. S.) * Hecrannaprupie MeTogbi aHamu3a. (Russian) 
{Nonstandard methods of analysis] 92c:03074 

Kutateladze, S.S. see Kusraev, A. G., 92c:03074 

Lam, Clement W. H. How reliable is a computer-based proof? 92b:00008 

— How reliable is a computer-based proof? (Czech) 92j:00016 

Lambert M., Bill Mathematics as experimental science: the case of fractals and determinis- 
tic chaos. (Spanish) (see 92e:00013) 

Linz, Peter A critique of numerical analysis. 92b:65003 

Lotze, Rudolf Hermann * Logik. Erstes Buch: vom Denken (Reine Logik). (German) 
[Logic. First book: on thinking (pure logic)] 92d:01080a 

(Mandelbrot, Benoit B.) see Peitgen, Heinz-Otto; et al., 92k:00023 

(NeSetfilova, Helena) see Lam, Clement W. H., 92j:00016 

(Panov, M. 1.) see Methodological problems in the development and application of mathemat- 
ics, 92b:00014 

Peitgen, Heinz-Otto (with Jirgens, Hartmut; Saupe, Dietmar) * Fractals for the classroom. 
Part 1. 92k:00023 

Pickert, Ginter Beweisanalyse zum Monotoniesatz. [Analysis of the proof of the mono- 
tonicity theorem] 92h:26003 

Saupe, Dietmar see Peitgen, Heinz-Otto; et al., 92k:00023 

Sharma, C.S. Natural geometry. 92i:00008 

Sdrensen, Kay see Heise, Werner, 92k:51032 

(Stephan, Galina) see Konforovich, A. G., 92a:00002 

(Stephan, Holger) see Konforovich, A. G., 92a:00002 

Vollrath, Hans-Joachim Betrachtungen zur Entwicklung der Algebra in der Lehre. 
[Reflections on the development of algebra in teaching] 92d:01031 

Xu, Ben Shun (with Yin, Qi Zheng) * Shuxue zhong de meixue fangfa. (Chinese) 
[Aesthetic methods in mathematics] 92b:00013 

Yin, Qi Zheng see Xu, Ben Shun, 92b:00013 

Zheng, Yu Xin From the logic of mathematical discovery to the methodology of scientific 
research programmes. 92c:00009 

— The methodology of mathematics: its content, nature and significance. (Chinese. English 
summary) 


Items listed otherwise than by author 


Methodological problems in the development and application of mathematics * Metofonoru- 
yeckHe npo6eMbI pa3BHTHA H IpHMeHeHHA MaTemMaTuKH. (Russian) [Methodological 
problems in the development and application of mathematics] 92b:00014 

San Sebastian * Structures in mathematical theories. 92c:00010 

Structures in mathematical theories * Structures in mathematical theories. 92c:00010 

Symposium: 

Structures in Mathematical Theories * Structures in mathematical theories. 92c:00010 


00A69 General applied mathematics {For physics, see 00A79 and 
Sections 70 through 86.} 


Ageev, A. L. see Vasin, V. V., (92h:00011) 

Anger, Gottfried Some remarks on the relationship between mathematics and physics and 
on inverse problems. (see 92a:00040) 

Atmanspacher, Harald (with Weinberger, Edward D.) Epilogue: dualities, context, and 
meaning. (see 92f:00011) 

— see also Information dynamics, 92f:00011 

Blekhman, I. I. (with Myshkis, A. D.; Panovko, Ya. G.) * MexaHnxa 4 npakiaqHas 
Matematuka. (Russian) [Mechanics and applied mathematics] 92g:00011 

de Bruijn, N.G. Mathematics and computers. 92j:00026 

Bukhshtaber, V. M. (with Maslov, V. K.) Mathematical models and algorithms for the 
tomographic synthesis of wave fields and nonhomogeneous media. (Russian) 92b:00015 

Campbell, David K. Introduction to nonlinear phenomena. (see 92d:00004) 

Canak, Milos S. Application of some results of mathematical theory of music in function 
and making of music instruments. I. The stringed instruments. 92j:00023 

Cannon, J. W. Mathematics in marble and bronze: the sculpture of Helaman Rolfe Pratt 
Ferguson. 92f:00010 

(Capasso, V.) see Mathematical methods for industrial problems 

(Caselli, R.) see Mathematical methods for industrial problems 

Casti, John L. * Searching for certainty. 92¢:00005 

Chernavskii, D. S. * Cunepretuxa 4 nacbopmanua. (Russian) [Synergetics and information] 
92c:00011 

(Danilov, Yu. A.) see Feder, Jens, 92h:00009 








00A69 


(Darvas, Gyérgy) see Symmetry in a kaleidoscope, 92i:00011 

(Drugaleva, Z.S.) see Diversity of mathematics, 92h:00011 

(Eberhardt, Thomas) see Jirgens, Hartmut; et al., 92d:00003 

Feder, Jens * ®paxrani. (Russian) [Fractals] 92h:00009 

Ferguson, Helaman Rolfe Pratt Two theorems, two sculptures, two posters. 92¢:00006 

— see also Cannon, J. W., 92f:00010 

Filatova, S. A. see Golubtsov, P. V., 92h:00010 

Friedman, Avner * Mathematics in industrial problems. Part 3. 92e:00007 

Golubtsov, P. V. (with Filatova, S. A.) Optimal local reduction for spatially invariant 
measurement systems. (Russian. English summary) 92h:00010 

Goncharov, A. B. Three-dimensional reconstruction of identical particles with an unknown 
spatial arrangement from their projections. (Russian) 92a:00029 

Gordeziani, D. G. (with Gunava, G. V.; Komurdzhishvili, O. P.; Okroashvili, T. G.) On the 
numerical modeling of the stress-deformed state of a power plant. (Russian. English and 
Georgian summaries) 

Gunava, G. V. see Gordeziani, D. G.; et al. 

Haken, H. P. J. Synergetics: from pattern formation to pattern recognition. 92b:00016 

Howison, S. D. Complex variables in industrial mathematics. (see 92d:00033) 

Johnson, Jeffrey Horace The mathematics of complex systems. (see 92h:00013) 

Jirgens, Hartmut (with Peitgen, Heinz-Otto; Saupe, Dietmar) * The beauty of fractals lab. 
924:00003 

— see also Peitgen, Heinz-Otto; et al., 92k:00023 

Kappraff, Jay * Connections. 92a:00030 

Kapur, J. N. * Maximum-entropy models in science and engineering. 92b:00017 

Kawarada, Hideo What is modern applied mathematics? (Japanese) 

Kliemt, Jens see Puppe, Eckehard, 92m:00017 

Komurdzhishvili, O. P. see Gordeziani, D. G.; et al. 

Kriiger, Lorenz Method, theory, and statistics: the lesson of physics. (see 92i:00019) 

Lambert M., Bill Mathematics as experimental science: the case of fractals and determinis- 
tic chaos. (Spanish) (see 92e:00013) 

Loskutov, A. Yu. see Mikhailov, A. S., 92i1:00010 

(Mandelbrot, Benoit B.) see Feder, Jens, 92h:00009 aid Peitgen, Heinz-Otto; et al., 
92k:00023 

Maslov, V. K. see Bukhshtaber, V. M., 92b:00015 

Mazurov, V1. D. (with Smirnov, A. I.) The inexpressible complexity of nature. (Russian) 
(see 92h:00011) 

Mazzola, G. Mathematische Musiktheorie: status quo 1990. [Mathematical music theory: 
status quo 1990] 92j:00024 

Mikhailov, A.S. * Foundations of synergetics. 1. 92i:00009 

— (with Loskutov, A. Yu.) * Foundations of synergetics. II. 92i:00010 

Myshkis, A. D. see Blekhman, I. I; et al., 92g:00011 

(Nagy, Dénes) see Symmetry in a kaleidoscope, 92i:00011 

Okroashvili, T.G. see Gordeziani, D. G.; et al. 

Panovko, Ya. G. see Blekhman, I. I.; et al., 92g:00011 

(Parmet, Marc) see Jirgens, Hartmut; et al., 92d:00003 

Peitgen, Heinz-Otto (with Jiirgens, Hartmut; Saupe, Dietmar) * Fractals for the classroom. 
Part 1. 92k:00023 

— see also Jiérgens, Hartmut; et al., 92d:00003 

Petrosky, Tomio Y. (with Prigogine, Ilya) Laws and events: the dynamical basis of self- 
organization. 92b:00018 

Prigogine, Ilya see Petrosky, Tomio Y., 92b:00018 

Puppe, Eckehard (with Kliemt, Jens) Deterministisches Chaos und Weltbilder. [Determin- 
istic chaos and images of the world] 92m:00017 

Ramm, A. G. * Random fields estimation theory. 92g:00012 

Rudenko, O. V. see Vinogradova, M. B.; et al., 92j:00028 

Ruelle, David * Chance and chaos. 92j:00025 

Rumynskii, I. A. see Trubnikev, B. A. 

Samarskii, A. A. Nonlinear phenomena and new mathematical methods of their study. (see 
92i:65009) 

Saupe, Dietmar see Jiirgens, Hartmut; et al., 92d:00003 and Peitgen, Heinz-Otto; et al., 
92k:00023 

(Scheingraber, Herbert) see Information dynamics, 92f:00011 

, Manfred R. * Fractals, chaos, power laws. 92m:00018 

Segel, Lee A. The infinite and the infinitesimal in models for natural phenomena. 
92b:00019 

(Shukurov, A.) see Feder, Jens, 92h:00009 

Skarin, V. D. In search of optimal solutions. (Russian) (see 92h:00011) 

van der Sluis, A. Applied mathematics and the computer. 92j:00027 

Smale, Stephen Some remarks on the foundations of numerical analysis [MR 91k:00007]. 
(see 92¢:58001) 

Smirnov, A. I. see Mazurov, V1. D., (92h:00011) 

(Stein, Daniel L.) see Lectures in the sciences of complexity, 92d:00004 

Sukhorukov, A. P. see Vinogradova, M. B.; et al., 92j:00028 

Trubnikov, B. A. (with Rumynskii, I. A.) A simple derivation of the Zipf-Krylov law for 
words and the possibility of its “evolution” interpretation. (Russian) 

Vasin, V. V. (with Ageev, A. L.) Catastrophes and paradoxes in solving unstable problems 
on a computer. (Russian) (see 92h:00011) 

Vinogradova, M. B. (with Rudenko, O. V.; Sukhorukov, A. P.) * Teopus Bonn. (Russian) 
[Wave theory] 92j:00028 

Wang, Zi Kun’ On randomness. (Chinese. English summary) 

Weinberger, Edward D. see Atmanspacher, Harald, (92f:00011) 


Items listed otherwise than by author 


Bari * Mathematical methods for industrial problems. 


Diversity of mathematics * Taxkaa pa3Haa MaTemMaTuka.... (Russian) [The diversity of 
mathematics] 92h:00011 

Information dynamics * Information dynamics. 92f:00011 

Irsee * Information dynamics. 92f:00011 

Lectures in the sciences of complexity * Lectures in the sciences of complexity. 92d:00004 


GENERAL 1992 


Mathematical methods for industrial problems * Mathematical methods for industrial 
problems. 
NATO Advanced Study Institute: 
Information Dynamics * Information dynamics. 92f:00011 
Santa Fe, NM * Lectures in the sciences of complexity. 92d:00004 
School: 
Complex Systems * Lectures in the sciences of complexity. 92d:00004 
Special Issue: 
Symmetry in a kaleidoscope * Symmetry in a kaleidoscope. 1. 92i:00011 
Symmetry in a kaleidoscope * Symmetry in a kaleidoscope. 1. 92i:00011 
Workshop: 
Mathematical Methods for Industrial Problems * Mathematical methods for industrial 
problems. 


Items with secondary classifications in 00A69 


Aigner, Martin Diskrete Mathematik. [Discrete mathematics] 92g:01046 

‘Alavi, Mahdt Two-dimensional symmetry in ancient designs. (Persian) (see 92m:00055) 

(Andersson, Ake E.) see Zhang, Wei-Bin, 92b:90058 

Anger, Gottfried * Inverse problems in differential equations. 92b:35166a 

— * Inverse problems in differential equations. 92b:35166b 

Argoul, F. see Arneodo, Alain; et al., 92g:82080 

Arneodo, Alain (with Argoul, F.; Elezgaray, J.; Grasseau, G.) Wavelet transform analysis of 
fractals: application to nonequilibrium phase transitions. 92g:82080 

(Ball, R.C.) see Fractals in the natural sciences, 92m:00019 

Bates, R. H.T. (with Smith, V. A.; Murch, R. D.) Manageable multidimensional inverse 
scattering theory. 92f:78008 

(Bauer, Michael A.) see Martienssen, Werner, 92j:00029 

(Bednarek, A. R.) see Ulam, Stanistaw Marcin, 92i:01033 

(Bittanti, Sergio) see Riccati equation, 92d:93008 

(Breedveld, P.C.) see Current topics in bond graph related research, 92j:00032 

(Carasso, C.) see Applied mathematics for engineering sciences, 92i:00021 

(Conca, C.) see Applied mathematics for engineering sciences, 92i1:00021 

(Cooke, Roger Marvin) see Statistics in science, 92i:00019 

(Correa, R.) see Applied mathematics for engineering sciences, 92i:00021 

(Costantini, Domenico) see Statistics in science, 92i:00019 

(Craige, John) see Nash, Richard, 92e:01033 

Daccord, G. see Stanley, H. Eugene; et al., (92b:82005) 

Dress, Andreas W. M. Repetition und Metamorphose—zum Symmetriebegriff in der Math- 
ematik. [Repetition and metamorphosis—on the concept of symmetry in mathematics] 
924:51010 

Ebeling, Werner see Feistel, Rainer and Vol/kenshtein, M. V., 92a:80001 

Elezgaray, J. see Arneodo, Alain; et al., 92g:82080 

El Naschie, M.S. Mathematical model for chaos and ergodic criticality in four dimensions. 

— Peano dynamics as a model for ergodic and strange nonchaotic behaviour. 92k:58173 

Faddeev, L.D. Mathematician’s view on the development of physics. 92j:00030 

Fagin, Ronald (with Halpern, Joseph Y.; Vardi, Moshe Y.) A model-theoretic analysis of 
knowledge. 92f:68172 

Falconer, Kenneth J. * Fractal geometry. 92j:28008 

Feiste, Uwe see Flachsmeyer, Jiirgen; et al., 92m:52045 

Feistel, Rainer (with Ebeling, Werner) * Evolution of complex systems. 

Flachsmeyer, Jiirgen (with Feiste, Uwe; Manteuffel, Karl) * Mathematik und ornamentale 
Kunstformen. (German) [Mathematics and ornamental art forms] 92m:52045 

(Fleischmann, M.) see Fractals in the natural sciences, 92m:00019 

(Gill-Hoffstadt, Sophia) see Lauwerier, Hans, 92f:00004 

Glasko, V. B. see Tikhonov, A. N.; et al., 92b:00021 

Grasseau, G. see Arneodo, Alain; et al., 92g:82080 

GroBmann, Siegfried * Mathematischer Einfiihrungskurs fiir die Physik. (German) 
[Mathematical introduction to physics] 

(Gruber, Bruno) see Symmetries in science, 92b:00047 

Haken, H. P. J. * Synergetic computers and cognition. 92i:68137 

Halpern, Joseph Y. see Fagin, Ronald; et al., 92f:68172 

Hansen, Vagn Lundsgaard Geometry and the physical world. (Danish. English summary) 
92h:01002 

(Hargittai, Istvan) see Quasicrystals, networks, and molecules of fivefold symmetry, 
92b:52001 

(Hendry, Barbara) see Ulam, Stanistaw Marcin, 92i:01033 

(Heng, Heiner) see Martienssen, Werner, 92j:00029 

Herrmann, Hans Jiirgen see Stanley, H. Eugene; et al., (92b:82005) 

(Hogarth, W. L.) see Computational techniques and applications: CTAC-89, 924:00025 

(Iachello, Francesco) see Symmetries in science, 92b:00047 

Ionin, V. K. Abstract groups as physical structures. (Russian) 

Isichenko, M. B. (with Kalda, J.) Statistical topography. I. Fractal dimension of coastlines 
and number-area rule for islands. 92m;86010 

(Israel, Giorgio) see Volterra, Vito, 92g:01114 

Jensen, T. W. (with Petersen, C. S.; Watkins, M. A.) Practical curves and surfaces for a 
geometric modeler. 92h:65025 

(Johnson, Jeffrey Horace) see Mathematical revolution inspired by computing, 92h:00013 

Jiirgens, Hartmut see Peitgen, Heinz-Otto; et al., 92a:58099 

Kaashoek, J. F. * Modeling one-dimensional pattern formation by anti-diffusion. 
92¢:00008 

Kalda, J. see Isichenko, M. B., 92m:86010 

Kal/ner, V. D. see Tikhonov, A. N.; et al., 92b:00021 

(Klamkin, Murray S.) see Problems in applied mathematics, 92g:00034 

Koecher, Max Castel del Monte und das Oktagon. [Castel del Monte and the octagon] 
92j:51029 

Krueger, Franz R. Non-Boolean logic of the theory of evolutionary science. (see 92f:00011) 

(Kriiger, Uwe) see Martienssen, Werner, 92j:00029 

Kudlek, Manfred Calendar systems. 92j:01079 

Kulakov, Yu. I. Physical structure as a parametrically given hypersurface. (Russian) 

(Laub, Alan J.) see Riccati equation, 92d:93008 





1992 


Lauwerier, Hans * Fractals. 92f:00004 

(Leff, Harvey S.) see Maxweli’s demon, 92h:820063 

Leis, Rolf Zur Entwicklung der angewandten Analysis und mathematischen Physik in 
den letzten hundert Jahren. [On the development of applied analysis and mathematical 
physics in the last hundred years] 92e:01052 

Lerda, F. Artificial intelligence, mathematics and physics: hic Rhodus, hic salta. (Italian. 
English summary) 92k:00019 

(Loomes, M. J.) see Mathematical revolution inspired by computing, 92h:00013 

(Lorenz, Edward) see Peitgen, Heinz-Otto; et al., 92a:58099 

Lozitskii, E. L. Angles in plane geometries. (Russian) 92m:53025 

Lacich, Peter Beyond formalism: group theory in the symmetries of culture. 92j:92026 

Malakhov, A. I. * Miccnenopanne reomeTpH4ecKow CTpyKTypbI MHOTOMepHBIX uryp. 
(Russian) [Investigation of the geometric structure of multidimensional figures] 
92g:51001 

(Mandelbrot, Benoit B.) see Peitgen, Heinz-Otto; et al., 92a:58099 

Manteuffel, Karl see Flachsmeyer, Jiirgen; et al., 92m:52045 

Martienssen, Werner Deterministisches Chaos—Gesetz und Zufall in der Natur. [Deter- 
ministic chaos—law and chance in nature] 92j:00029 

Mikhailichenko, G.G. Group structures as arbitrary physical structures. (Russian) 

Mukhin, Yu. N. Mathematics “all by itself”. (Russian) (see 92h:00011) 

(Miiller, Helga) see Vol/kenshtein, M. V., 92a:80001 

Murch, R. D. see Bates, R. H. T.; et al., 92f:78008 

Nash, Richard * John Craige’s Mathematical principles of Christian theology. 92e:01033 

Nicolis, John S. On the parallel between Zipf’s law and 1/f processes in chaotic systems 
possessing coexisting attractors. 92g:58087 

Nittmann, J. see Stanley, H. Eugene; et al., (92b:82005) 

(Noye, John) see Computational techniques and applications: CTAC-89, 924:00025 

Odlyzko, Andrew M. (with Wilf, Herbert S.) Functional iteration and the Josephus 
problem. 92g:05006 

Pashchevskii, A. A. (with Tarasov, B. N.) * MatemaTwueckHe MeTObI B HCTOPHYCCKHX H 
cunonormueckux HccHezoBaHHAX. (Russian) [Mathematical methods in investigations in 
history and philology] 92f:92050 

(Pearson, Carl E.) see Handbook: Applied mathematics, 92h:00005 

Peitgen, Heinz-Otto (with Jirgens, Hartmut; Saupe, Dietmar; Zahlten, C.) Fractals. 
92a:58099 

Penavi¢, KreSimir Campanology groups. (Serbo-Croatian) 

Petersen, C.S. see Jensen, T. W.; et al., 92h:65025 

Petrick, M. H. see Wigdorowitz, B., 92e:00009 

(Puel, Jean-Pierre) see Applied mathematics for engineering sciences, 92i:00021 

Ramirez, Santiago The experience of chaos. (Spanish) 92j:00018 

Rasmussen, M. L. see Reddy, J. N., 92g:00004 

van Ravenstein, Tony see Tognetti, Keith; et al., 92m:11018 

(Rawlins, Gregory J. E.) see Foundations of genetic algorithms, 92h:65005 

Reddy, J. N. (with Rasmussen, M. L.) * Advanced engineering analysis. 92g:00004 

(Rex, Andrew F.) see Maxwell’s demon, 92h:82003 

Rozental’, I. L. %& Mexanuxa kak reometpua. (Russian) [Mechanics as geometry] 92k:83002 

Saupe, Dietmar see Peitgen, Heinz-Otto; et al., 92a:58099 

Schroeder, Manfred R. Moderne Anwendungen GauB’scher Konzepte aus der Zahientheo- 
rie. [Modern applications of Gaussian concepts in number theory] 92f:01026 

Senechal, Marjorie * Crystalline symmetries. 92c:20092 

Smith, V. A. see Bates, R. H. T.; et al., 92f:78008 

Solovév, A. V. On the theory of binary physical structures of rank (5, 5; 6) and higher. 
(Russian) 

— see also Viadimirov, Yu. S. 

(Spigler, Renato) see Applied and industrial mathematics, 92i:00020 

Stanley, H. Eugene (with Daccord, G.; Herrmann, Hans Jiirgen; Nittmann, J.) Applications 
of scaling and disorderly growth phenomena to oil recovery. (see 92b:82005) 

Takayasu, Hideki * Fractals in the physical sciences. 92f:58114 

Tarasov, B. N. see Pashchevskii, A. A., 92f:92050 

Tikhonov, A. N. (with Kal/ner, V. D.; Glasko, V. B.) * MatemaTuueckoe MojenupoBaHHe 
TEXHOJIOFHYECKHX MpoOeccos A MeTO O6paTHBIX 3afa4 B MalllMHOcTpoeHun. (Russian) 
[Mathematical modeling of engineering processes and the method of inverse problems in 
machine building] 92b:00021 

(Tildesley, D. J.) see Fractals in the natural sciences, 92m:00019 

Tognetti, Keith (with Winley, Graham; van Ravenstein, Tony) The Fibonacci Tree, 
Hofstadter and the golden string. 92m:11018 

(Ulam, Francoise) see Ulam, Stanistaw Marcin, 92i:01033 

Ulam, Stanislaw Marcin * Analogies between analogies. 92i:01033 

Vardi, Moshe Y. see Fagin, Ronald; et al., 92f:68172 

(Velarde, Manuel G.) see Synergetics, order and chaos, 92b:00049 

Vladimirov, Yu. S. (with Solov’év, A. V.) A physical structure of rank (4, 4; 6) and three- 
component spinors. (Russian) 

Vol’kenshtein, M. V. * Entropie und Information. (German) [Entropy and information] 
92a:8000% 

Volterra, Vito On attempts to apply mathematics to the biological and social sciences. 
(Italian) 92g:01114 

Voss, Richard F. Random fractals: characterization and measurement. (see 92b:82005) 

Watkins, M. A. see Jensen, T. W.; et al., 92h:65025 

Weyl, Hermann * Symmetry. 92b:01085 

Wigdorowitz, B. (with Petrick, M. H.) Modelling concepts arising from an investigation into 
a chaotic system. 92¢:00009 

Wilf, Herbert S. see Odlyzko, Andrew M., 92g:05006 

Wille, Rudolf Symmetrie—Versuch einer Begriffsbestimmung. [Symmetry—attempt at a 
definition] 92b:51001 

(Willems, Jan C.) see Riccati equation, 92d:93008 

Winley, Graham see Tognetti, Keith; et al., 92m:11018 

Zahiten, C. see Peitgen, Heinz-Otto; et al., 92a:58099 

Zhang, Wei-Bin * Synergetic economics. 92b:90058 


00A General and miscellaneous specific topics 


00A71 


Items listed otherwise than by author 


Applied and industrial mathematics * Applied and industrial mathematics. 92i:00020 
Applied mathematics for engineering sciences * Mathématiques appliquées aux sciences de 
l'ingénieur. [Applied mathematics for engineering sciences] 92i:00021 
Bibliography: 
Maxwell’s demon * Maxwell’s demon. 92h:82003 
Ulam, S. M. see Ulam, Stanistaw Marcin, 92i:01033 
Bloomington, IN * Foundations of genetic algorithms. 92h:65005 
Brighton * The mathematical revolution inspired by computing. 92h:00013 
Brisbane * Computational techniques and applications: CTAC-89. 92d4:00025 
Computational techniques and applications: CTAC-89 * Computational techniques and 
applications: CTAC-89. 92d:00025 
Conference: 
Computational Techniques and Applications * Computational techniques and applica- 
tions: CTAC-89. 924:00025 
Mathematical Revolution Inspired by Computing * The mathematical revolution inspired 
by computing. 92h:00013 
Synergetics, Order and Chaos * Synergetics, order and chaos. 92b:00049 
Current topics in bond graph related research * Current topics in bond graph related 
research. 92j:00032 
Foundations of genetic algorithms * Foundations of genetic algorithms. 92h:65005 
Fractals in the natural sciences * Fractals in the natural sciences. 92m:00019 
Handbook: 
Applied mathematics * Handbook of applied mathematics. 92h:00005 
Madrid * Synergetics, order and chaos. 92b:00049 
Mathematical revolution inspired by computing * The mathematical revolution inspired by 
computing. 92h:00013 
Mathématiques appliquées aux sciences de l’ingénieur * Mathématiques appliquées aux 
sciences de l’ingénieur. [Applied mathematics for engineering sciences] 92i:00021 
Maxwell’s demon * Maxwell’s demon. 92h:82003 
Problems in applied mathematics * Problems in applied mathematics. 92g:00034 
Quasicrystals, networks, and molecules of fivefold symmetry * Quasicrystals, networks, and 
molecules of fivefold symmetry. 92b:52001 
Riccati equation * The Riccati equation. 92d:93008 
Santiago * Mathématiques appliquées aux sciences de |’ingénieur. [Applied mathematics 
for engineering sciences] 92i:00021 
Special Issue: 
Current topics in bond graph related research * Current topics in bond graph related 
research. 92j:00032 / 
Statistics in science * Statistics in science. 92i:00019 
Symmetries in science * Symmetries in science. III. 92b:00047 
Symposium: 
Applied and Industrial Mathematics * Applied and industrial mathematics. 92i:00020 
Applied Mathematics * Mathématiques appliquées aux sciences de l’ingénieur. [Applied 
mathematics for engineering sciences] 92i:00021 
Symmetries in Science * Symmetries in science. III. 92b:00047 
Synergetics, order and chaos * Synergetics, order and chaos. 92b:00049 
Venice * Applied and industrial mathematics. 92i:00020 
Vorarlberg * Symmetries in science. III. 92b:00047 
Workshop: 
Foundations of Genetic Algorithms and Classifier Systems * Foundations of genetic 
algorithms. 92h:65005 


00A71 Theory of mathematical modeling 


Andrianov, S. N. (with Voitenko, S. S.; Khryashchév, S.M.) The application of functional 
methods of computer algebra in mathematical modeling of complex physical systems. 
(Russian) (see 92e:00011) 

(Bauer, Michael A.) see Martienssen, Werner, 92j:00029 

(Belotserkovskii, O.M.) see Rational numerical modeling in nonlinear mechanics, 924:00005 

Eisen, Martin * Mathematical methods and models in the biological sciences. 92f:00012 

Glasko, V. B. see Tikhonov, A. N.; et al., 92b:00021 

(Heng, Heiner) see Martienssen, Werner, 92j:00029 

(Huntley, I. D.) see Mathematical modelling, 92c:00012 

(James, D. J.G.) see Mathematical modelling, 92c:00012 

Kaashoek, J. F. % Modeling one-dimensional pattern formation by anti-diffusion. 
92¢:00008 

Kal/ner, V. D. see Tikhonov, A. N.; et al., 92b:00021 

Khryashchév, S. M. see Andrianov, S. N.; et al., (92e:00011) 

(Kriiger, Uwe) see Martienssen, Werner, 92j:00029 

Lawin, Roger (with Weinelt, Wilfried) Mathematische Modellierung instationarer 
Sickerstrémungen mit freiem Rand. [Mathematical modeling of nonstationary seepage 
flow with free boundary] 

Martienssen, Werner Deterministisches Chaos—Gesetz und Zufall in der Natur. [Deter- 
ministic chaos—law and chance in nature] 92j:00029 

Neimark, Yu. I. Simple mathematical models. (Russian) 

Pedrycz, Witold Fuzzy modelling: fundamentals, construction and evaluation. 92b:00020 

Petrick, M. H. see Wigdorowitz, B., 92e:00009 

Tikhonov, A. N. (with Kal/ner, V. D.; Glasko, V. B.) * MaTematwueckoe MozesHpoBaHHe 
TEXHOJIOTHYECKHX Mporeccos H MeTO O6paTHbIX 3aa4 B MalllMHOCTpoeHHa. (Russian) 
[Mathematical modeling of engineering processes and the method of inverse problems in 
machine building] 92b:00021 

Voitenko, S.S. see Andrianov, S. N.; et al., (92e:00011) 

Weinelt, Wilfried see Lawin, Roger 

Wigdorowitz, B. (with Petrick, M. H.) Modelling concepts arising from an investigation into 
a chaotic system. 92e:00009 

Woodside, William The optimal strategy for running a race (a mathematical model for 
world records from 50 m to 275 km). 92h:00012 








00A71 


Items listed otherwise than by author 

Mathematical modelling * Mathematical modelling. 92¢:00012 

Rational numerical modeling in nonlinear mechanics * PanHoHambHOe YACIeHHOe 
MOJeIHPOBaHHe B HEHHEMHOK MexaHuKe. (Russian) [Rational numerical modeling in non- 
linear mechanics] 92d:00005 


Items with secondary classifications in 00A71 

Blekhman, I. I. (with Myshkis, A. D.; Panovko, Ya. G.) * MexaHuka # npuknagHas 
MatemaTuxa. (Russian) [Mechanics and applied mathematics} 92g:00011 

(Bry, Lesly) see Zeytounian, R. Kh., 92b:86010 

Casti, John L. * Searching for certainty. 92e:00005 

Connell, H. J. sze May, R. L., (92d:00025) 

Deng, Ju Long Essential models for grey forecasting control. 92b:93009 

Friedman, Avner * Mathematics in industrial problems. Part 3. 92e:00007 

Kashchenko, S. A. Spatially heterogeneous structures in the simplest models with delay and 
diffusion. (Russian. English summary) 92j:92015 

Madguerova, Andreana Stefanova * On time’s models of mathematical physics. 

May, R. L. (with Connell, H. J.) A model of the deployment of a towed body. (see 
92d:00025) 

Myshkis, A. D. see Blekhman, I. I; et al., 92g:00011 

Panovko, Ya. G. see Blekhman, I. I.; et al., 92g:00011 

Pavlovskii, Yu. N. The decomposition problem in mathematical modeling. (Russian. English 
summary) 

(Pearson, Carl E.) see Handbook: Applied mathematics, 92h:00005 

Segei, Lee A. The infinite and the infinitesimal in models for naiural phenomena. 
92b:00019 

Silberschmidt, V. V. Mathematical modelling and fractal analysis of a stochastic fracture 
process. (see 92i:65009) 

Zeytounian, R. Kh. * Asymptotic modeling of atmospheric flows. 92b:86010 


Items listed otherwise than by author 
Handbook: 
Applied mathematics * Handbook of applied mathematics. 92h:00005 


00A72 General methods of simulation 


Items with secondary classifications in 00A72 
Pedrycz, Witold Fuzzy modelling: fundamentals, construction and evaluation. 92b:00020 


00A73 Dimensional analysis 


Kasprzak, Waclaw (with Lysik, Bertold; Rybaczuk, Marek) * Dimensional analysis in the 
identification of mathematical models. 924:00013 

Lysik, Bertold see Kasprzak, Wactaw; et al., 92f:00013 

Martel Escobar, Pablo (with Martel Moreno, José) Proposal for a unifying definition of the 
concept of quantity. (Spanish. English summary) (see 92m:00053) 

Martel Moreno, José see Martel Escobar, Pablo, (92m:00053) 

Rybaczuk, Marek see Kasprzak, Wactaw; et al., 92f:00013 


items with secondary classifications in 00A73 
(Pearson, Carl E.) see Handbook: Applied mathematics, 92h:00005 


Items listed otherwise than by author 
Handbook: 
Applied mathematics * Handbook of applied mathematics. 92h:00005 


00A79 Physics (use more specific entries from Sections 70 
through 86 when possible) 


(Ball, R. C.) see Fractals in the natural sciences, 92m:00019 

Faddeev, L.D. Mathematician’s view on the development of physics. 92j:00030 
(Fleischmann, M.) see Fractals in the natural sciences, 92m:00019 

Singer, I. M. The new mathematical physics. (see 92h:81004) 

(Tildesley, D. J.) see Fractals in the natural sciences, 92m:00019 


Items listed otherwise than by author 
Fractals in the natural sciences * Fractals in the natural sciences. 92m:00019 


Items with secondary classifications in 00A79 


Aldridge, D. F. (with Dosso, S. E.; Endres, A. L.; Oldenburg, D. W.) New methods for 
constructing flattest and smoothest models. 92d:86007 

(Bohr, Niels) see Hooker, C. A., 92h:00006 

(von Borzeszkowski, Horst-Heino) see Landau, L. D., 92h:00001b 

(Christoph, Klara) see Simonyi, K., 92b:01008 

(Dautcourt, Georg) see Landau, L. D., 92h:00001b 

(Doncel, Manuel G.) see Symmetries in physics, 92b:01004 

Dosso, S. E. see Aldridge, D. F.; et al., 92d:86007 

(Drechsler, Stefan-Ludwig) see Landau, L. D., 92h:00001b 

Ebeling, Werner (with Engel, Andreas; Feistel, Rainer) * Physik der Evolutionsprozesse. 
(German) [Physics of evolution processes] 92¢:92013 

(Einstein, Albert) see Hooker, C. A., 92h:00006 

Endres, A. L. see Aldridge, D. F.; et al., 924:86007 

Engel, Andreas see Ebeling, Werner; et al., 92¢:92013 

Feistel, Rainer see Ebeling, Werner; et al., 92e:92013 

(Gruber, Bruno) see Symmetries in science, 92b:00047 

(Ginther, Helmut) see Landau, L. D., 92h:00001b 

Giirsey, Feza Quaternionic and octonionic structures in physics: episodes in the relation 
between physics and mathematics. 92k:01021 


GENERAL 


1992 


Hansen, Vagn Lundsgaard Geometry and the physical world. (Danish. English summary) 
92h:01002 

(Hermann, Armin) see Symmetries in physics, 92b:01004 

Hooker, C. A. Projection, physical intelligibility, objectivity and completeness: the divergent 
ideals of Bohr and Einstein. 92h:00006 

(Iachello, Francesco) see Symmetries in science, 92b:00047 

Ionin, V. K. Abstract groups as physical structures. (Russian) 

Kastrup, Hans A. The contributions of Emmy Noether, Felix Klein and Sophus Lie to the 
modern concept of symmetries in physical systems. 92j:01045 

(Klein, Felix) see Kastrup, Hans A., 92j:01045 

Kriiger, Lorenz Method, theory, and statistics: the lesson of physics. (see 92i:00019) 

(Kiihnel, A.) see Landau, L. D., 92h:00001a 

Kulakov, Yu. I. Physical structure as a parametrically given hypersurface. (Russian) 

Landau, L. D. (with Lifshits, E. M.) * Lehrbuch der theoretischen Physik (“Landau- 
Lifschitz”). Band III. (German) [Textbook of theoretical physics (“Landau-Lifschitz”). 
Vol. III] 92h:00001a 

— (with Lifshits, E. M.) * Lehrbuch der theoretischen Physik (“Landau-Lifschitz”). 
Band VIII. (German) [Textbook of theoretical physics (“Landau-Lifschitz”). Vol. VIII] 
92h:00001b 

(Lehmann, Gerd) see Landau, L. D., 92h:00001b 

Lev, V. Kh. A physical structure of rank (4, 2). (Russian) 

(Lie, Sophus) see Kastrup, Hans A., 92j:01045 

Lifshits, E. M. see Landau, L. D., 92h:00001a and 92h:00001b 

Lin, Shu-Kun Time symmetry and thermodynamics. 92i:80002 

Lozitskii, E.L. Angles in plane geometries. (Russian) 92m:53025 

La, Zhen Qiu * Jingdian he xiandai shuxue wuli fangcheng. (Chinese) [Equations of 
classical and modern mathematical physics] 92f:00005 

Madguerova, Andreana Stefanova * On time’s models of mathematical physics. 

Mayergoyz, I. D. * Mathematical models of hysteresis. 92b:78001 

(Michel, Louis) see Symmetries in physics, 92b:01004 

Mikhailichenko, G.G. Group structures as arbitrary physical structures. (Russian) 

Mittelstaedt, Peter * Der Zeitbegriff in der Physik. (German) [The concept of time in 
physics] 92d:83001 

Mook, Dele E. (with Vargish, Thomas) * Inside relativity. 92m:83002 

(Noether, Emmy) see Kastrup, Hans A., 92j:01045 

Oldenburg, D. W. see Aldridge, D. F.; et al., 92d:86007 

Pais, Abraham Conservation of energy. (see 92b:01004) 

— see also Symmetries in physics, 92b:01004 

(Pitaevskii, L. P.) see Landau, L. D., 92h:00001a and 92h:00001b 

Roche, John J. A critical study of symmetry in physics from Galileo to Newton. 92f:01019 

Rothman, Tony * Science 4 la mode. 92j:01080 

Rozental’, I. L. %& Mexanuxka kak reometpua. (Russian) [Mechanics as geometry] 92k:83002 

(Sadoc, J.-F.) see Geometry in condensed matter physics, 92m:82003 

Savel’ev, I. V. *& Octosbi TeopeTnueckont dbusuKu. Tom |. (Russian) [Fundamentals of 
theoretical physics. Vol. 1] 92k:00011 

Simonyi, K. * Kulturgeschichte der Physik. (German) [Cultural history of physics] 
92b:01008 

(Sinai, Ya. G.) see Dynamical systems and statistical mechanics, 92b:82003 

Solov’év, A. V. On the theory of binary physical structures of rank (5, 5; 6) and higher. 
(Russian) 

— see also Viadimirov, Yu. S. 

(Sosinskii, A. B.) see Dynamical systems and statistical mechanics, 92b:82003 

(Svirezhev, Yu. M.) see Usmanov, Z. D., 92c:00008 

Usmanov, Z. D. * Mogenuposanue spemeuu. (Russian) [Modeling of time] 92c:00008 

Vargish, Thomas see Mook, Delo E., 92m:83002 

Vladimirov, Yu. S. (with Solov’év, A. V.) A physical structure of rank (4, 4; 6) and three- 
component spinors. (Russian) 

(Ziesche, Paul) see Landau, L. D., 92h:00001a and 92h:00001b 


Items listed otherwise than by author 

Dynamical systems and statistical mechanics * Dynamical systems and statistical mechan- 
ics. 92b:82003 

Geometry in condensed matter physics * Geometry in condensed matter physics. 
92m:82003 

Meeting: 

History of Scientific Ideas * Symmetries in physics (1600-1980). 92b:01004 
Moscow * Dynamical systems and statistical mechanics. 92b:82003 
San Feliu de Guixols * Symmetries in physics (1600-1980). 92b:01004 
Seminar: 

Statistical Physics * Dynamical systems and statistical mechanics. 92b:82003 
Symmetries in physics * Symmetries in physics (1600-1980). 92b:01004 
Symmetries in science * Symmetries in science. III. 92b:00047 
Symposium: 

Symmetries in Science * Symmetries in science. III. 92b:00047 
Vorarlberg * Symmetries in science. III. 92b:00047 


00A99 Miscellaneous topics 


Adomian, George A. (with Rach, R.C.) A further consideration of partial solutions in the 
decomposition method. 92k:00024 

Flato, Moshé * The power of mathematics. 

(Johnson, Jeffrey Horace) see Mathematical revolution inspired by computing, 92h:00013 

(Lecourt, Dominique) see Flato, Moshé 

(Loomes, M. J.) see Mathematical revolution inspired by computing, 92h:00013 

Rach, R. C. see Adomian, George A., 92k:00024 

(Robine, Maurice) see Flato, Moshé 


Items listed otherwise than by author 
Brighton * The mathematical revolution inspired by computing. 92h:00013 





11 1992 


Conference: 


Mathematical Revolution Inspired by Computing * The mathematical revolution inspired 
by computing. 92h:00013 
ita: 


Current directions in nonlinear partial differential equations Errata: Current directions in 
nonlinear partial differential equations [Rocky Mountain J. Math. 21 (1991), no. 2; MR 
92b:35005]. 92j:00031 

Mathematical revolution inspired by computing * The mathematical revolution inspired by 
computing. 92h:00013 


Items with secondary classifications in 00A99 

Adomian, George A. see Rach, R. C.; et al., 92i:34015 

Barnsley, Michael F. (with Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz- 
Oito; Saupe, Dietmar; Voss, Richard F.) * The science of fractal images. 92a:68145 

Devaney, Robert L. see Barnsley, Michael F.; et al., 922:68145 

(Fisher, Yuval) see Barnsley, Michael F.; et al., 92a:68145 

Hirzebruch, Friedrich Axiome, Definitionen, Begriffe in der Mathematik. [Axioms, 
definitions and concepts in mathematics] 92k:00017 

(Jackson, Allyn) see Renewing U.S. mathematics: a plan for the 1990s. Appendix B: Recent 
research accomplishments and related opportunities, 92c:01040 

Kaiser, Matthias From rocks to graphs—the shaping of phenomena. 

Lev, V. Kh. A physical structure of rank (4, 2). (Russian) 

Mandelbrot, Benoit B. see Barnsley, Michael F.; et al., 92a:68145 

(McGuire, Michael) see Barnsley, Michael F.; et al., 92a:68145 

Meyers, R. E. see Rach, R. C.; et al., 92i:34015 

Peitgen, Heinz-Otto see Barnsley, Michael F.; et al., 92a:68145 

Rach, R.C. (with Adomian, George A.; Meyers, R. E.) A modified decomposition. 
92i:34015 

Saupe, Dietmar see Barnsley, Michael F.; et al., 92a:68145 

Voss, Richard F. see Barnsley, Michael F.; et al., 92a:68145 


Items listed otherwise than by author 


Renewing U.S. mathematics: a plan for the 1990s. Appendix B: 
Recent research accomplishments and related opportunities Renewing U.S. mathematics: 
a plan for the 1990s. Appendix B: recent research accomplishments and related 
opportunities. 92c:01040 


00Bxx Conference proceedings and collections of papers 


Mathesis * Mathesis. (Spanish) 92b:00022 
— * Mathesis. (Spanish) 92b:00023 
— * Mathesis. (Spanish) 92b:00024 
— * Mathesis. (Spanish) 92b:00025 
— * Mathesis. (Spanish) 92g:00013 
— * Mathesis. (Spanish) 92g:00014 


00B05 Collections of abstracts of lectures 


(Berezovskii, A. A.) see Nonlinear evolution equations in applied problems, 92m:00021 

(Gromova, L. L.) see Mathematical readings in memory of M. Ya. Suslin, 92g:00015 

(Lavrent’ev, M. M.) see All-Union Symposium: Computational Tomography, 92i:00012 

(Mitropol’skii, Yu. A.) see Nonlinear boundary value problems of mathematical physics and 
their applications, 92m:00020 and Nonlinear evolution equations in applied problems, 
92m:00021 

(Molchanov, V. A.) see Mathematical readings in memory of M. Ya. Suslin, 92g:00015 

(Nikol’skii, S.M.) see Theory of functions and approximations, 92a:00032 

(Suslin, M. Ya.) see Mathematical readings in memory of M. Ya. Suslin, 92g:00015 


Items listed otherwise than by author 
Abstracts: 

All-Union School-Seminar “Combi ial-Statistical Methods for the Analysis and 
Processing of Information, Expert Estimation” * Tesucbi ZoKnapos III-e Bcecoro3sHott 
Ikonsi-Cemunapa “Kom6unatopxo-Cratuctaueckue Metogpi Anamu3a 1 O6pa6oTKu 
Wxdopmanun, SxcneprHoe Onuenupanue”. (Russian) [Abstracts of the Third All-Union 
School-Seminar “Combinatorial-Statistical Methods for the Analysis and Processing of 
Information, Expert Estimation”] 92f:00014 

All-Union School-Seminar: 

Combi 


tal _ Ctatict, 








1 Methods for the Analysis and Processing of Information, 
Expert Estimation * Te3ucpi qoKnazos III-e# Bcecoo3Hott Mkonpi-Cemunapa 
“Kom6unatopHo-Cratuctuyeckue Metogpi Axnanu3a 1 O6pa6oTku Mndopmanun, 
OxcneptHoe Ouenupanue”. (Russian) [Abstracts of the Third All-Union School- 
Seminar “Combinatorial-Statistical Methods for the Analysis and Processing of 
Information, Expert Estimation”] 92f:00014 

AH-Union Symposium: 

Computational Tomography * IV Bcecois3Hbitt Cumno3nyM no BarncnuTesbHOn 
Tomorpadun. Uacts II. (Russian) [Fourth All-Union Symposium on Computational 
Tomography. Part II] 92i:00012 

Alma-Ata * Matematuka u Mexanuxa. Uacts I. (Russian) [Mathematics and mechanics. 

Part I] 92f:00015a 

— * Matemaruka u Mexanuxa. acts II. (Russian) [Mathematics and mechanics. Part II] 

92£:00015b 

— * Matematuka 4 MexaHuka. act» III. (Russian) [Mathematics and mechanics. Part III] 

92f:00015c 

Conference: 

Indian Mathematical Society Abstracts of papers presented at the Fifty-sixth Annual 
Conference of the Indian Mathematical Society. 

Mathematics and Mechanics * Matematuka 4 MexaHuka. Uacts I. (Russian) [Mathemat- 
ics and mechanics. Part I] 92f:00015a 

— *& Matematuka u Mexanuka. Uacts II. (Russian) [Mathematics and mechanics. Part IT] 
92f:00015b 


00B Conference proceedings and collections of »apers 


00B15 


Conference: (cont'd. ) 
— % Matematuxa u Mexanuka. Uacts III. (Russian) [Mathematics and mechanics. Part 
IIT] 92f:00015¢ 
Mathematical readings in memory of M. Ya. Suslin * Broppie MaTemaTH4eCcKHe YTCHHA 
namatH M. A. Cycnuna. (Russian) [Second mathematical readings in memory of M. Ya. 
Suslin] 92g:00015 
Mathematics and its applications * Matematuxa u eé npunoxenua. (Russian) [Mathematics 
and its applications] 92a:00031 
Mathematics and mechanics * Matematuka 4 MexaHuka. Uacts I. (Russian) [Mathematics 
and mechanics. Part I] 92f:00015a 
— * Matematuka # Mexanuxa. Uacts II. (Russian) [Mathematics and mechanics. Part II] 
92f:00015b 
— *% Matematuka x Mexanuxa. Yacts III. (Russian) [Mathematics and mechanics. Part III] 
92f:00015c 
Nonlinear boundary value problems of mathematical physics and their applications 
* Hennnetupie kpaesbie 3aqa4H MaTeMaTH4eCKON u3HKH H HX NpHIORenua. (Russian) 
[Nonlinear boundary value probl of mathematical physics and their applications] 
92m:00020 
Nonlinear evolution equations in applied problems * HenuHeftubie 9B0010NHOHHbIC ypaBHeHHA 
B NpHKaQHbIX 3aa4ax. (Russian) [Nonlinear evolution equations in applied problems] 
92m:00021 
Odessa * Tesxcbi 2oKnagos III-et BcecorosHott [konbi-Cemunapa “Kom6unatopxo-Cratuc- 
TuyeckHe Metogpi Ananu3a x O6pa6oTKu Mndopmanun, SxcneprHoe Ouennpanne”. 
(Russian) [Abstracts of the Third All-Union School-Seminar “Combinatorial-Statistical 
Methods for the Analysis and Processing of Information, Expert Estimation”] 92f:00014 
Reports: 
Symposium in Real Analysis Report on the Summer Symposium in Real Analysis XV, 
Smolenice, Czechoslovakia, August 12-16, 1991. 92h:00014 
Saratov * Teopua byHxuuit wx npHOnuxennh. acts 3. (Russian) [Theory of functions and 
approximations. Part 3] 92a:00032 
— * Bropbie MaTeMaTuyeckHe 4TeHHA MaMaTH M. A. Cycnuua. (Russian) [Second mathemat- 
ical readings in memory of M. Ya. Suslin] 92g:00015 
School: 
Theory of Functions and Approximations * Teopus dyHkuxit 4 npHOnmxennh. Uacts 3. 
(Russian) [Theory of functions and approximations. Part 3] 92a:00032 
Smolenice Report on the Summer Symposium in Real Analysis XV, Smolenice, Czechoslo- 
vakia, August i2-16, 1991. 92h:00014 
Symposium: 
Real Analysis Report on the Summer Symposium in Real Analysis XV, Smolenice, 
Czechoslovakia, August 12-16, 1991. 92h:00014 
Tashkent * IV Bceconsnsift CamnosuyM no BarancamtembHok Tomorpadan. Uacts II. 
(Russian) [Fourth All-Union Symposium on Computational Tomography. Part IT] 
92i:00012 
Theory of functions and approximations * Teopua dyxxunit un npHOnuxennh. ‘iacts 3. 
(Russian) [Theory of functions and approximations. Part 3] 92a:00032 





Items with secondary classifications in 00B05 

Berman, Abraham (with Goldberg, Moshe; Hershkowitz, Daniel) Report: Haifa 1990 
Conference on Matrix Theory. 92m:15001 

Goldberg, Moshe see Berman, Abraham; et al., 92m:15001 

Hershkowitz, Daniel see Berman, Abraham; et al., 92m:15001 

(Pol’skii, B.S.) see Mathematical modeling of LSI elements and fragments 


Items listed otherwise than by author 


Conference: 
Mathematical Modeling of LSI Elements and Fragments * MatemaTuyeckoe 
MoOjleHpoBaHHe 3s1eMeHTOB  parmentos BUC. (Russian) [Mathematical modeling of 
LSI elements and fragments] 
Graz The Twenty-eighth International Symposium on Functional Equations, August 23- 
September 1, 1990, Graz-Maria Trost, Austria. 92c:39011 
Maria Trost The Twenty-eighth International Symposium on Functional Equations, August 
23-September 1, 1990, Graz-Maria Trost, Austria. 92¢:39011 
Mathematical modeling of LSI elements and fragments * MatemaTuueckoe MojeHpoBaHHe 
auleMeHTOB H cpparmexntos BMC. (Russian) [Mathematical modeling of LSI elements and 
fragments] 
Riga * MaTemaTuueckoe MojenHpoBaHHe 31eMeHTOB H bparmexTos BHC. (Russian) 
[Mathematical modeling of LSI elements and fragments] 
Symposium: 
Functional Equations The Twenty-eighth International Symposium on Functional 
Equations, August 23-September 1, 1990, Graz-Maria Trost, Austria. 92¢:39011 


00B15 Collections of articles of miscellaneous specific content 


(Agoshkov, V. I.) see Conjugate equations in problems of mathematical physics, 92m:00024 

(Araté, Matyds) see Hungarian applied mathematics, 92b:00030 

(Arslanov, M. M.) see Probabilistic methods and cybernetics, 92i:00017 

(Avdonins, N.) see Applied problems in mathematical physics. Mathematical modeling, 
92d:00007 

(Baker, Andrew James) see p-adic methods and their applications, 92m:00035 

(Bar'yakhtar, V.G.) see integrability and kinetic equations for solitons, 92m:00028 

(Berezanskii, Yu. M.) see Methods of functional analysis in problems of mathematical 
physics, 92d:00014 

(Borisovich, Yu. G.) see Algebraic problems in analysis and topology, 92d:00006 

(Bradeanu, Petre) see Seminar: Mechanics, 92i:00018 

(Breedveld, P.C.) see Current topics in bond graph related research, 92j:00032 

(Brézis, Haim) see Nonlinear partial differential equations and their applications. College de 
France Seminar, 924:00018 

(Cauchy, Augustin-Louis) see Topics in mathematical analysis, 92b:00033 

(Chatterji, S. D.) see Yearbook: Surveys on mathematics, 92m:00034 

(Chernousenko, V. M.) see Integrability and kinetic equations for solitons, 92m:00028 








00B15 


(Cheshkova, M. A.) see Geometry and topology of homogeneous spaces, 92m:00027 

(Coen, Salvatore) see Seminar: Geometry, 92f:00021 

(Cooke, Roger Marvin) see Statistics in science, 92i:00019 

(Costantini, Domenico) see Statistics in science, 92i1:00019 

(Engl, Heinz W.) see Case studies in industrial mathematics, 92b:00026 

(Filippov, V. M.) see Variational methods in modern geometry, 92d:00023 

(Fu, Zi Zhi) see Advances in applied mathematics and mechanics in China, 92i:00013 

(Fuchssteiner, Benno) see Yearbook: Surveys on mathematics, 92m:00034 

(Galitsyn, A.S.) see Special boundary value problems in heat exchange theory, 924:00021 

(Gamkrelidze, R. V.) see Current problems in mathematics. Newest results, 92g:00017; 
Mathematical analysis, 92g:00018; Algebra. Topology. Geometry, Vol. 29, 92i:00014 and 
Some problems in the theory of oscillations and the theory of optimal control 

(Gasymov, M.G.) see Numerical methods for solving boundary value problems, 92g:00019 

(Godunov, S. K.) see Embedding theorems and their applications to problems in mathematical 
physics, 92m:00025 and Partial differential equations, 92m:00029 

(Hayles, N. Katherine) see Chaos and order, 92h:00015 

(Hunt, J.C. R.) see Turbulence and stochastic processes: Kolmogorov’s ideas 50 years on, 
92e:00012 

(Ivanov, L. D.) see Geometric problems in the theory of functions and sets, 92i1:00016 

(Ivanov, Simeon) see Current mathematical problems of mechanics and their applications 

(Iviev, D. D.) see Current problems in the theory of boundary value problems and their 
applications, 92e:00010 and Boundary value problems and their applications, 92f:00016 

(Kalenyuk, P.1.) see Methods for studying differential and integral operators, 92a:00034 

(Korneichuk, N. P.) see Current problems in approximation theory and complex analysis, 
92d:00010 

(Kulisch, Ulrich) see Yearbook: Surveys on mathematics, 92m:00034 

(Lavrent’ev, M. M.) see Mathematical analysis and discrete mathematics, 92d:00011 

(Liedl, Roman) see Yearbook: Surveys on mathematics, 92m:00034 

(Lindenstrauss, J.) see Geometric aspects of functional analysis, 92b:00029 

(Lions, Jacques-Louis) see Nonlinear partial differential equations and their applications. 
College de France Seminar, 924:00018 

(Lerents, A. A.) see Mathematics, 92d:00013 

(Lakovskii, I. A.) see Modeling of dynamic interaction processes in systems of bodies with 
fluid, 92d:00016 

(Matveev, N.M.) see Mathematical analysis, 92b:00031 and Partial differential equations, 
92¢e:00011 

(Mikhailov, G. A.) see Numerical mathematics and modeling in physics, 92f:00020 

(Milman, Vitali D.) see Geometric aspects of functional analysis, 92b:00029 

(Mitropol’skii, Yu. A.) see Asymptotic methods and their application in problems of 
mathematical physics, 92d:00008 

(Muntean, Ioan) see Seminar: Mathematical Analysis, 92m:00032 

(Otrokov, N. F.) see Differential and integral equations, 92f:00018 

(Phillips,O.M.) see Turbulence and stochastic processes: Kolmogorov’s ideas 50 years on, 
92e:00012 

(Plymen, Roger J.) see p-adic methods and their applications, 92m:00035 

(Pokornyi, Yu. V.) see Application of new methods of analysis in the theory of boundary value 
problems, 92a:00033 

(Prank, R.) see Estonian Mathematical Society. Annual, 92m:00026 

(Purkert, Walter) see Yearbook: Surveys on mathematics, 92m:00034 

(Qian, Wei Chang) see Advances in applied mathematics and mechanics in China, 92i:00013 

(Ramm, A.G.) see Multidimensional inverse problems, 92d:00017 

(Rassias, Themistocles M.) see Topics in mathematical analysis, 92b:00033 

(Roach, Gary F.) see Inverse problems and imaging, 92h:00016 

(Sabaev, E. F.) see Applied problems in the theory of oscillations, 92g:00016 

(Sabinin, L. V.) see Variational methods in modern geometry, 92d:00023 

(Samarskii, A. A.) see Methods of mathematical modeling and computer diagnostics, 
92d:00015 

(Schulze, Bert-Wolfgang) see Surveys on analysis, geometry and mathematical physics, 
92d:00022 

(Sedov, L. I.) see Current mathematical problems of mechanics and their applications 

(Sharkovskii, A. N.) see Dynamical systems and nonlinear phenomena, 92b:00028 

(Shcherbakov, B. A.) see Algebraic structures and geometry, 92m:00022 

(Shutyaev, V. P.) see Conjugate equations in problems of mathematical physics, 92m:00024 

(Sosinskii, A. B.) see Representation theory and dynamical systems, 92m:00030 

(Széntai, T.) see Hungarian applied mathematics, 92b:00030 

(Tikhonov, A. N.) see Methods of mathematical modeling and computer diagnostics, 
924:00015 

(Triebel, Hans) see Surveys on analysis, geometry and mathematical physics, 92d:00022 

(Trokhimchuk, Yu. Yu.) see Complex analysis, algebra and topology, 92d:00009 

(Vershik, A.M.) see Representation theory and dynamical systems, 92m:00030 

(Vinogradov, I. M.) see Number theory, algebra, mathematical analysis and their applications 

(Vladimirov, V.S.) see Number theory, algebra, mathematical analysis and their applications 

(Wacker, Hansjérg) see Case studies in industrial mathematics, 92b:00026 

(Williams, David) see Turbulence and stochastic processes: Kolmogorov’s ideas 50 years on, 
92e:00012 

(Yablonskii, S. V.) see Mathematical problems in cybernetics, 92d:00012 

(Yulmukhametov, R.S.) see Investigations in the theory of approximations, 92f:00019 

(Zakharov, V. E.) see Integrability and kinetic equations for solitons, 92m:00028 

(Zhitomirskii, G.I.) see Theory of semigroups and its applications, 92m:00033 

(Zalehner, Walter) see Case studies in industrial mathematics, 92b:00026 


Items listed otherwise than by author 

Advances in applied mathematics and mechanics in China * Advances in applied mathemat- 
ics and mechanics in China. Vol. 3. 92i:00013 

Algebra. Topology. Geometry, Vol. 29 * Anre6pa. Tononorua. Teometpua. Tom 29. 
(Russian) [Algebra. Topology. Geometry. Vol. 29] 92i:00014 

Algebraic probiems in analysis and topology * Anre6pawyeckHe BOmpocb! aHasIH3a 4 
Tononorun. (Russian) [Algebraic problems in analysis and topology] 92d:00006 

Algebraic structures and geometry * Anre6panueckue cTpyKTypbi H reometpua. (Russian) 
{Algebraic structures and geometry] 92m:00022 


GENERAL 


1992 


Application of new methods of analysis in the theory of boundary value problems 
% Tipumenenue HoBbIx MeTOOB aHaH3a B TEOpHH KpaeBbix 3aja4. (Russian) [Application 
of new methods of analysis in the theory of boundary value problems] 92a:00033 

Applied problems in mathematical physics. Mathematical modeling * IIpuxnaqubie 3a2a4H 
MaTeMaTH4ecKOH (u3HKH. MaTemaTuyeckoe MogemMposBanue. (Russian) [Applied problems 
in mathematical physics. Mathematical modeling] 92d:00007 

Applied problems in the theory of oscillations * ITpuxnagupie npo6embI TeopuH KoneOaHHh. 
(Russian) [Applied problems in the theory of oscillations] 92g:00016 

Asymptotic methods and their application in problems of mathematical physics * Acummto- 
THYeCKHe MeTOJIbI H HX IIPHMeHeHHe B 3aqjayax MaTeMaTHYeCKON u3HKH. (Russian) 
[Asymptotic methods and their application in problems of mathematical physics] 
92d:00008 

Birthday: 

Sedov, L. I. * Current mathematical problems of mechanics and their applications. 

Bologna * Seminari di Geometria. 1988-1991. [Geometry Seminars. 1988-1991] 
92f:00021 

Boundary value problems and their applications * Kpaesbie 3a2a4H 4 HX DpHIOKeHUA. 
(Russian) [Boundary value problems and their applications] 92f:00016 

Case studies in industrial mathematics * Case studies in industrial mathematics. 92b:00026 

Chaos and order * Chaos and order. 92h:00015 

Clermont-Ferrand * Séminaire d’Analyse. 1988-89. (French) [Seminar on Analysis. 1988- 
89] 92h:00018 

Cluj-Napoca * Seminar on Mathematical Analysis. 92m:00032 

Colloquium: 

Mathematics * New Zealand Mathematics Colloquium. 92m:00023 

Complex analysis, algebra and topology * Komnuexcubift aHamu3, amre6pa u TononorHua. 
(Russian) [Complex analysis, algebra and topology] 92d:00009 

Complex analytic geometry and related h thematical physics and complex analytic 
geometry * Fukuso kaiseki kikagaku to sono shthen no kenkya—-siri butsuri to fukuso 
kaiseki kika. (Japanese) [Complex analytic geometry and related research—mathematical 
physics and complex analytic geometry] 92i:00015 

Conference: 

Current Mathematical Problems of Mechanics and their Applications * Current 
mathematical problems of mechanics and their applications. 

Conjugate equations in problems of mathematical physics * ConpaxeHHbie ypaBHeHHA 
B 3ayjayax MaTeMaTH4ecKon cbu3HKu. (Russian) [Conjugate equations in problems of 
mathematical physics] 92m:00024 

Current Life, Science and Technology: Series “Mathematics and Cybernetics” * Hosoe B 
%Kusuu, Hayxe, Texnuxe: Cepnsa “Matematuxa, Ku6epnetuka”. 91-2. (Russian) [Current 
Life, Science and Technology: Series “Mathematics and Cybernetics”. 91-2] 92b:00027 

Current mathematical problems of mechanics and their applications * Current mathematical 
problems of mechanics and their applications. 

Current problems in approximation theory and complex analysis * CospemeHubie BOpocti 
TeopHH NpHOHxKeHHA H KOMIMIeKCHOro aHanH3a. (Russian) [Current problems in 
approximation theory and complex analysis] 92d:00010 

Current problems in mathematics. Newest results * Current problems in mathematics. 
Newest results. Vol. 36. 92f:00017 

— * Cospemenupie npo6embi MaTeMaTuku. Hosettuime JocTHxeHua. Tom 39. (Russian) 
[Current problems in mathematics. Newest results. Vol. 39] 92g:00017 

Current problems in the theory of boundary value problems and their applications 
%* AKTyaJIbHbie BOMpOcI TeOpHH KpaeBbix 3afa4 HW MX NpHOKeHusA. (Russian) [Current 
problems in the theory of boundary value problems and their applications] 92¢:00010 

Current topics in bond graph related research * Current topics in bond graph related 
research. 92j:00032 

Differential and integral equations * Jlud@depenuManbHbie M HHTerpasbHble ypaBHeHHA. 
(Russian) [Differential and integral equations] 92f:00018 

Dunedin * New Zealand Mathematics Colloquium. 92m:00023 

Dynamical systems and nonlinear phenomena * JImHamu4ueckHe CHCTeMbI H HeIHHEHHBIC 
spyeHua. (Russian) [Dynamical systems and nonlinear phenomena] 92b:00028 

Embedding theorems and their applications to problems in mathematical physics * TeopemI 
BIOKCHHA H UX NPHIORKeHHA K 3ayja4aM MaTeMaTH4ecKON usuKu. (Russian) [Embedding 
theorems and their applications to problems in mathematical physics] 92m:00025 

Estonian Mathematical Society. Annual * Eesti Matemaatika Selts. Aastaraamat 1989. 
(Estonian) [Estonian Mathematical Society. Annual 1989] 92m:00026 

Galois theory, rings, algebraic groups and their applications * Galois theory, rings, algebraic 
groups and their applications. 

Geometric aspects of functional analysis * Geometric aspects of functional analysis. 
92b:00029 

Geometric problems in the theory of functions and sets * TeomeTpwueckHe Bompoc! TeopHH 
éyHku#it u MHoxects. (Russian) [Geometric problems in the theory of functions and sets] 
92i:00016 

Geometry and topology of homogeneous spaces * TeomeTpua 4 TONONOFHA ODHOPOTHEIX 
mpoctpaxcts. (Russian) [Geometry and topology of homogeneous spaces] 92m:00027 

Glasgow * Inverse problems and imaging. 92h:00016 

Hungarian app!ied mathematics * Hungarian applied mathematics. 92b:00030 

Integrability and kinetic equations for solitons * Muterpupyemocts 4 KHHeTHYeCKHe 
ypaBHenua Ja connTouos. (Russian) [Integrability and kinetic equations for solitons] 
92m:00028 

Inverse problems and imaging * Inverse problems and imaging. 92h:00016 

Investigations in the theory of approximations * MiccnegzosaHua no TeopuHu NpHOHxKeHHH. 
(Russian) [investigations in the theory of approximations] 92f:00019 

Itogi Nauki i Tekhniki * Cosp 1e 1po6. 1 MaTeMaTHKH. Hopefiuine OCTHxKeHHA. 
Tom 39. (Russian) [Current problems in mathematics. Newest results. Vol. 39] 
92g:00017 

— *& Matematuuecknit aan. Tom 29. (Russian) [Mathematical analysis. Vol. 29] 
92g:00018 

— * Anre6pa. Tononorua. Peometpua. Tom 29. (Russian) [Algebra. Topology. Geometry. 
Vol. 29] 92i:00014 

Jahrbuch Uberblicke Mathematik * Jahrbuch Uberblicke Mathematik. 1992. (German) 
[Yearbook surveys on mathematics. 1992] 92m:00034 











13 1992 


Lecture Notes in Mathematics * Geometric aspects of functional analysis. 92b:00029 

Limit problems for differential equations * The limit problems for differential equations. 
92c:00013 

Mathematical analysis * MatemaTuueckuit ananus. (Russian) [Mathematical analysis] 
92b:00031 

— *% Matematuueckuit ananu3. Tom 29. (Russian) [Mathematical analysis. Vol. 29} 
92g:00018 

— * Mathematical analysis. Vol. 28. 92h:00017 

Mathematical analysis and discrete mathematics * MatemaTuwueckuit aHasH3 H MCKpeTHaa 
MaTeMaTuka. (Russian) [Mathematical analysis and discrete mathematics] 92d:00011 

Mathematical problems in cybernetics * Matematuueckue ponpocsi KH6epHeTuKH. Buin. 3. 
(Russian) [Mathematical problems in cybernetics. No. 3] 92d:00012 

Mathematics * Matemartukxa. I. (Russian) [Mathematics. I] 92d:00013 

Meeting: 

Inverse Problems and Imaging * Inverse problems and imaging. 92h:00016 

Methods for studying differential and integral operators * Metogpi uccneqoBaHHa 
mudepenuHasbHbIX H HHTerpasbHBIX OnepaTopos. (Russian) [Methods for studying dif- 
ferential and integral operators] 92a:00034 

Methods of functional analysis in problems of mathematical physics * Metogsi 
yHKUMOHATbHOTO aHanH3a B 3ayjayax MaTeMaTHYeCKON usHKu. (Russian) [Methods of 
functional analysis in problems of mathematical physics] 92d:00014 

Methods of mathematical modeling and computer diagnostics * Metozb1 MaTemMaTH4ecKoroO 
MOJCJIMPOBAaHHA H BLIYHCIMTCIBHOM WMarHocTHuEH. (Russian) [Methods of mathematical 
modeling and computer diagnostics] 92d:00015 

Modeling of dynamic interaction processes in systems of bodies with fluid * Monenuposanue 
J{HHAMH4YCCKHX MpOleccos B3aHMOeCHCTBUA B CHCTeMAaX TeJI C KHIKOCTBW. (Russian) 
[Modeling of dynamic interaction processes in systems of bodies with fluid] 92d:00016 

Moscow * Current mathematical problems of mechanics and their applications. 

Multidimensional inverse problems * Multidimensional inverse problems. 92d:00017 

Nonlinear partial differential equations and their applications. College de France Seminar 
* Nonlinear partial differential equations and their applications. Collége de France 
Seminar. Vol. X. 92d:00018 

Number theory, algebra, mathematical analysis and their applications * Teopua 4Hcen, 
are6pa, MaTeMaTH¥eCKHA aHaJsIM3 HW HX IpHoxKenua. (Russian) [Number theory, algebra, 
mathematical analysis and their applications] 

Numerical mathematics and modeling in physics * BaruncnutTenbHaa MaTeMaTHKa 4 
MoyenHpoBanue B usuKe. (Russian) [Numerical mathematics and modeling in physics] 
92£:00020 

Numerical methods for solving boundary value problems * Uncnenubie MeTogbI pemieHua 
Kpaesbix 3aa4. (Russian) [Numerical methods for solving boundary value problems] 
92g:00019 

p-adic methods and their applications * p-adic methods and their applications. 92m:00035 

Paris * Nonlinear partial differential equations and their applications. Collége de France 
Seminar. Vol. X. 92d:00018 

Partial differential equations * JluddepenumanbHbie ypaBHeHHA C YaCTHbIMH NPOH3BOZHBbIMH. 
(Russian) [Partial differential equations] 92m:00029 

— *& [luddepenupanpubie ypaBHeHua C YaCTHBIMH NpOH3BOAHEIMH. (Russian) [Partial 
differential equations] 92e:00011 

Probabilistic methods and cybernetics * BeposTHoctubie MeTogpI 4 KuGepHeTHKa. Buin. 24. 
(Russian) [Probabilistic methods and cybernetics. No. 24] 92i:00017 

Publications du Département de Mathématiques. Nouvelle Série. A * Publications du 
Département de Mathématiques. Nouvelle Série. A. Vol. 1. (French) [Publications of the 
Department of Mathematics. New Series. A. Vol. 1] 92d:00019 

Publications of the Department of Mathematics. New Series. A * Publications du 
Département de Mathématiques. Nouvelle Série. A. Vol. 1. (French) [Publications of the 
Department of Mathematics. New Series. A. Vol. 1] 924:00019 

Representation theory and dynamical systems * Representation theory and dynamical 
systems. 92m:00030 

Seminar: 

Analysis * Séminaire d’Analyse. 1988-89. (French) [Seminar on Analysis. 1988-89] 
92h:00018 

Applied Mathematics * Nonlinear partial differential equations and their applications. 
Collége de France Seminar. Vol. X. 92d:00018 

Bourbaki * Séminaire Bourbaki. Vol. 1989/90. (French) [Seminar Bourbaki. Vol. 
1989/90] 92b:00032 

— * Séminaire Bourbaki. Vol. 1990/91. (French) [Seminar Bourbaki. Vol. 1990/91] 
92m:00031 

Geometric Aspects of Functional Analysis * Geometric aspects of functional analysis. 
92b:00029 

Geometry * Seminari di Geometria. 1988-1991. [Geometry Seminars. 1988-1991] 
92:00021 

Mathematical Analysis * Seminar on Mathematical Analysis. 92m:00032 

Mechanics * Seminar on Mechanics. 92i:00018 

Optimization Theory * Seminar on Optimization Theory. 92d:00020 

Some problems in the theory of oscillations and the theory of optimal control * Hexotoppie 
BOMpOcbI TeOpHH Kose6aHH H TeOpHH ONTHMasSHOrO yipaBeHHa. (Russian) [Some 
problems in the theory of oscillations and the theory of optimal control] 

Special boundary value problems in heat exchange theory * CnemHanbHbie rpaHH4Hbie 3a7a4H 
Teopuu Tenmoo6mena. (Russian) [Special boundary value prob in heat exchange 
theory] 924:00021 

Special Issue: 

Current topics in bond graph related research * Current topics in bond graph related 
research. 92j:00032 
Hungarian applied mathematics * Hungarian applied mathematics. 92b:00030 

Statistics in science * Statistics in science. 92i:00019 

Surveys on analysis, geometry and mathematical physics * Surveys on analysis, geometry 
and mathematical physics. 92d:00022 

Symposium: 

Complex Analytic Geometry and Related Ri h— Mathematical Physics and Complex 
Analytic Geometry * Fukuso kaiseki kikagaku to sono shthen no kenky0—stri butsuri 








00B Conference proceedings and collections of papers 


00B15 


Symposium: (cont’d. ) 
to fukuso kaiseki kika. (Japanese) [Complex analytic geometry and related research— 
mathematical physics and complex analytic geometry] 92i:00015 
Theory of semigroups and its applications * Teopua nonyrpynn x ee npanoxenus. Buin. 10. 
(Russian) [Theory of semigroups and its applications. No. 10] 92m:00033 
Topics in mathematical analysis * Topics in mathematical analysis. 92b:00033 
Turbulence and stochastic processes: Kolmogorov’s ideas 50 years on *% Turbulence and 
stochastic processes: Kolmogorov’s ideas 50 years on. 92e:00012 
Variational methods in modern geometry * BapwaljMoHHbie MeTObI B COBpeMeHHOR 
reometpuu. (Russian) [Variational methods in modern geometry] 92d:00023 
Yearbook: 
Surveys on mathematics * Jahrbuch Uberblicke Mathematik. 1992. (German) [Yearbook 
surveys on mathematics. 1992] 92m:00034 


Items with secondary classifications in 00B15 


(Accardi, Luigi) see Quantum probability & related topics, 92i:81011 

(Baker, Alan) see Tribute to Paul Erdés, 92b:00053 

(Bellow, Alexandra) see Almost everywhere convergence, 92d:28001 

(Bollobas, Béla) see Tribute to Paul Erdés, 92b:00053 

(Borubaev, A. A.) see Investigations in topological and generalized spaces, 92m:54001 

(Brudnyi, Yu. A.) see Studies in the theory of functions of several real variables, 92m:46002 

(Carathéodory, Constantin) see Constantin Carathéodory: an international tribute, 92d:00037 

(Erdés, Paul) see Tribute to Paul Erdés, 92b:00053 

(Filippov, S.S.) see Numerical solution of ordinary differential equations, 92b:65010 

(Gritzmann, Peter) see Applied geometry and discrete mathematics, 92b:00050 

(Hajnal, Andras) see Tribute to Paul Erdés, 92b:00053 

(Hargittai, Istvan) see Quasicrystals, networks, and molecules of fivefold symmetry, 
92b:52001 

(Ivanov, Simeon) see Operator theory with a random potential, and some questions of 
statistical physics 

(Jones, Roger L.) see Almost everywhere convergence, 92d:28001 

(Klee, Victor) see Applied geometry and discrete mathematics, 92b:00050 

(Klimkin, V.M.) see Measure and integral, 92d:28002 

(Nevai, Paul) see Progress in approximation theory, 92b:41002 

(Ochiai, Takushiro) see Recent topics in differential and analytic geometry, 92h:32001 and 
Kahler metric and moduli spaces, 92i:32003 

(Odell, E.) see Functional analysis, 92d:46002 

(Panov, M.1I.) see Methodological problems in the development and application of mathemat- 
ics, 92b:00014 

(Pinkus, Allan) see Progress in approximation theory, 92b:41002 

(Popov, V. N.) see Theory of operators with a random potential and some problems in 
statistical physics, 92m:82006 

(Rassias, Themistocles M.) see Constantin Carathéodory: an international tribute, 92d:00037 

(Rawlins, Gregory J. E.) see Foundations of genetic algorithms, 92h:65005 

(Rosenthal, Haskell Paul) see Functional analysis, 924:46002 

(Rumyantsev, V. V.) see Problems in the investigation of stability and stabilization of motion, 
92a:70002 

(Samoilenko, A. M.) see Methods for investigating differential and functional-differential 
equations, 92d:34002 

(Stewart, William J.) see Numerical solution of Markov chains, 92h:60003 

(Sturmfels, Bernd) see Applied geometry and discrete mathematics, 92b:00050 

(Tsyganova, N. Ya.) see Differential equations and applied problems, 92i:34002 

(Varchenko, A. N.) see Proceedings: Bourbaki Seminar, 92j:00034 

(Volkodavov, V. F.) see Differential and integral equations, 92a:35004 and Classical and 
nonclassical problems for differential equations, 92f:35003 


Items listed otherwise than by author 


Algebra. Topology. Geometry * Algebra. Topology. Geometry. Vol. 28. 92a:00045 

Almost everywhere convergence * Almost everywhere convergence. II. 92d:28001 

Applications of operator theory to real analysis; operator theory and related topics * Saydso 
ron no jitsu kaisekiteki 6yO; saydso ron to sono shthen. (Japanese) [Applications of 
operator theory to real analysis; operator theory and related topics] 92d:47001 

Applied geometry and discrete mathematics * Applied geometry and discrete mathematics. 
92b:00050 

Austin, TX * Functional analysis. 92d:46002 

Birthday: 

Erdés, Paul * A tribute to Paul Erdés. 92b:00053 
Klee, Victor L. * Applied geometry and discrete mathematics. 92b:00050 

Bloomington, IN * Foundations of genetic algorithms. 92h:65005 

Boundary value problems of mathematical physics * Boundary value problems of mathemat- 
ical physics. XIV. 

Classical and nonclassical problems for differential equations * Knaccuueckue 4 
HeKylacCHYecKkHe 3ala4H Aa WuddbepenMabHbIX ypaBHeHHh. (Russian) [Classical and non- 
classical problems for differential equations] 92f:35003 

Combinatorial theory and related topics * Kumiawaseron to sono shuhen no kenkyd. 
(Japanese) [Combinatorial theory and related topics] 92a:05002 

Conference: 

Almost Everywhere Convergence in Probability and Ergodic Theory * Almost everywhere 
convergence. II. 924:28001 

Constantin Carathéodory: an international tribute * Constantin Carathéodory: an interna- 
tional tribute. Vol. I, II. 924:00037 

Differential and integral equations * JIu@depenmanbHbie M HHTerpasbHbie ypaBHeHHA. 
(Russian) [Differential and integral equations] 92a:35004 

Differential equations and applied problems * J[u@depenunambHble ypaBHeHHA H NPHKMAaHbIC 
3anauu. (Russian) [Differential equations and applied problems] 92i:34002 

Evanston, IL * Almost everywhere convergence. II. 92d:28001 

Festschrift: 

Carathéodory, Constantin * Constantin Carathéodory: an international tribute. Vol. I, IL. 
92d:00037 
Klee, Victor L. * Applied geometry and discrete mathematics. 92b:00050 














00B15 


Foundations of genetic algorithms * Foundations of genetic algorithms. 92h:65005 
Functional analysis * Functional analysis. 92d:46002 
Investigations in topological and generalized spaces * MiccneqoBaHua NO TONONOTHYeCKHM H 
o606mleHHEIM mpoctpaxcTBam. (Russian) [Investigations in topological and generalized 
spaces] 92m:54001 
Kahler metric and moduli spaces * Kahler metric and moduli spaces. 92i:32003 
Lecture Notes in Mathematics * Functional analysis. 92d:46002 
Mathematical analysis * Mathematical analysis. Vol. 27. 92e:00016 
Measure and integral * Mepa # uuTerpan. [Measure and integral] 92d:28002 
Methodological problems in the development and application of mathematics * Metoyonoru- 
weckHe Npo6leMbI pasBATHA H IPHMeHeHHA MaTeMaTHKH. (Russian) [Methodologi- 
cal problems in the development and application of mathematics] 92b:00014 
Methods for investigating differential and functional-differential equations * Metogp1 
HccweqOBaHuA LAddepeHUMaIbHbIX WH PYHKUHOHAIbHO-DMepeHUMaNIbHbIX ypaBHeHHH. 
(Russian) [Methods for investigating differential and functional-differential equations] 
924:34002 
Numerical solution of Markov chains * Numerical solution of Markov chains. 92h:60003 
Numerical solution of ordinary differential equations * UucnenHoe pemienue OObiKHOBeHHBIX 
muddepenimanbHbIx ypaBHenuit. (Russian) [Numerical solution of ordinary differential 
equations] 92b:65010 
Operator theory with a random potential, and some questions of statistical physics 
* Operator theory with a random potential, and some questions of statistical physics. 
Probability theory. Mathematical statistics. Theoretical cybernetics * Probability theory. 
Mathematical statistics. Theoretical cybernetics. Vol. 29. 92i:00033 
Problems in the investigation of stability and stabilization of motion * 3aza4u uccneqoBaHHA 
ycTomumBocTH Hw cTa6uH3auHH WBuxKeHHA. (Russian) [Problems in the investigation of 
stability and stabilization of motion] 92a:70002 
Proceedings: 
Bourbaki Seminar * Tpyabi Cemauapa H. Byp6axu 3a 1988 r. (Russian) [Proceedings of 
the Bourbaki Seminar for 1988] 92j:00034 
Progress in approximation theory * Progress in approximation theory. 92b:41002 
Quantum probability & related topics * Quantum probability & related topics. 92i:81011 
Quasicrystals, networks, and molecules of fivefold symmetry * Quasicrystals, networks, and 
molecules of fivefold symmetry. 92b:52001 
Recent topics in differential and analytic geometry * Recent topics in differential and 
analytic geometry. 92h:32001 
Seminar: 
Bourbaki * Tpyat1 Cemunapa H. Byp6axu 3a 1988 r. (Russian) [Proceedings of the 
Bourbaki Seminar for 1988] 92j:00034 
Functional Analysis * Functional analysis. 92d:46002 
Partial Differential Equations * Séminaire sur les Equations aux Dérivées Partielles. 
1990-1991. (French) [Seminar on Partial Differential Equations. 1990-1991] 
92£:35007 
Studies in ihe theory of functions of several real variables * ViccnegosaHua no TeopHu 
yHKUHH MHOTHX BeLeCTBeEHHIX epeMeHHBIX. (Russian) [Studies in the theory of 
functions of several real variables] 92m:46002 
Symposium: 
Applications of Operator Theory to Real Analysis; Operator Theory and Related Topics 
* Saydso ron no jitsu kaisekiteki Syd; saydso ron to sono shihen. (Japanese) [Applica- 
tions of operator theory to real analysis; operator theory and related topics] 92d:47001 
Combinatorial Theory and Related Topics * Kumiawaseron to sono shuhen no kenkyt. 
(Japanese) [Combinatorial theory and related topics] 92a:05002 
Theory of operators with a random potential and some problems in statistical physics 
* Teopua onepatopos co cy4yaHbIM NOTeHIMaJIOM H HEKOTOpbie BONpOcbI CTaTHCTH4eCKOH 
ébu3uxu. (Russian) [Theory of operators with a random potential and some problems in 
Statistical physics] 92m:82006 
Tribute to Paul Erdés * A tribute to Paul Erdés. 92b:00053 
Workshop: 
Foundations of Genetic Algorithms and Classifier Systems * Foundations of genetic 
algorithms. 92h:65005 


00B20 Proceedings of conferences of general interest 


Conference: 
Universal Algebra, Quasigroups and Related Systems * Universal algebra, quasigroups 
and related systems. 92h:00019 
Jadwisin * Universal algebra, quasigroups and related systems. 92h:00019 
Universal algebra, quasigroups and related systems * Universal algebra, quasigroups and 
related systems. 92h:00019 


00B25 Proceedings of conferences of miscellaneous specific 
interest 


(Albeverio, Sergio) see Stochastic processes, physics and geometry, 92c:00017 

(Araki, Huzihiro) see Proceedings: Symposium on Mathematics and Theoretical Physics, 
92g:00026 

(Babi¢, Darko) see Mathematical chemistry and computation, 92f:00026 

(Baillon, Jean-Bernard) see Fixed point theory and applications, 92b:00040 

(Bart, H.) see Topics in matrix and operator theory, 92a:00042 

(Bartocci, Claudio) see Differential geometric methods in theoretical physics, 92g:00021 

(Bennewitz, Christer) see Differential equations and mathematical physics, 92d:00026 

(Bhattacharya, Prabir) see Vision geometry, 92a:00043 

(Bourrely, C.) see Electromagnetic and acoustic scattering: detection and inverse problem, 
92b:00039 

(Broeckx, Fernand C.M.) see Proceedings: Congress on Computational and Applied 
Mathematics, 924:00032 

(Brown, Morton) see Continuum theory and dynamical systems, 92a:00038 

(Bruzzo, Ugo) see Differential geometric methods in theoretical physics, 92g:00021 

(Bure3, Jarolim) see Proceedings: School on Geometry and Physics, 92i:00027 


GENERAL 





(Campbell, David K.) see Nonlinear science: the next decade, 92d:00030 
(Carasso, C.) see Applied mathematics for engineering sciences, 92i:00021 
(Casati, Giulio) see Stochastic processes, physics and geometry, 92c:00017 
(Cattaneo, U.) see Stochastic processes, physics and geometry, 92c:00017 
(Cerdeira, Hilda A.) see Frontiers in physics, high technology and mathematics, 92h:00023 
(Chiappetta, P.) see Electromagnetic and acoustic scattering: detection and inverse problem, 
92b:00039 
(Cianci, Roberto) see Differential geometric methods in theoretical physics, 92g:00021 
(Cohen, Arjeh M.) see Computational aspects of Lie group representations and related topics, 
92b:00037 
(Combet, Edmond) see Global analysis and mathematical physics, 92d:00028 
(Conca, C.) see Applied mathematics for engineering sciences, 92i:00021 
(Correa, R.) see Applied mathematics for engineering sciences, 92i:00021 
(Dahlberg, B.) see Partial differential equations with minimal smoothness and applications, 
92m:00047 
(Das Gupta, S.C.) see Birthday: Das Gupta, S. C., 92b:00036 
(Debrus, Joachim) see Geometry and theoretical physics, 92f:00024 
(Dieudonné, Jean) see Proceedings: Symposium on Mathematics and Theoretical Physics, 
92g:00026 
(Doebner, H.-D.) see Lectures on supermanifolds, geometrical methods and conformal groups, 
92b:00041 
(Doran, Robert S.) see Selfadjoint and nonselfadjoint operator algebras and operator theory, 
92d:00034 
(Dorninger, D.) see Contributions to general algebra, 92h:00022 
(Dubois, Didier) see Industrial engiaeering methods, 92m:00044 
(Dvuretenskij, Anatolij) see Proceedings: School on Measure Theory, 92b:00045 
(Dziuk, Gerhard) see Workshop: Theoretical and Numerical Aspects of Geometric Varia- 
tional Problems, 92g:00031 
(Ecke, Robert E.) see Nonlinear science: the next decade, 92d:00030 
(Eigenthaler, G.) see Contributions to general algebra, 92h:00022 
(Engquist, Bjorn E.) see Conference: Hyperbolic Problems, 92a:00036 
(Exner, Pavel) see Order, disorder and chaos in quantum systems, 92c:00015 
(Fabes, Eugene B.) see Partial differential equations with minimal smoothness and applica- 
tions, 92m:00047 
(Fefferman, R.) see Partial differential equations with minimal smoothness and applications, 
92m:00047 
(Field, David A.) see Geometric aspects of industrial design, 92m:00043 and Theoretical 
aspects of industrial design, 92m:00060 
(Gaponov-Grekhov, A. V.) see Nonlinear waves, 92d:00031 
(Garbaczewski, Piotr) see Nonlinear fields: classical, random, semiclassical, 92i:00025 
(Garbey, Marc) see Asymptotic analysis and the numerical solution of partial differential 
equations, 92b:00035 
(Gerov, G.) see Mathematics and mathematical education, 92a:00041 
(Gindikin, S.G.) see Spectral theory of operators, 92m:00059 
(Gédel, Kurt Friedrich) see Proceedings: Kurt Gédel Colloquium, 92i:00026 
(Gohberg, Israel) see Topics in matrix and operator theory, 92a:00042 
(Gémez, Susana) see Advances in numerical partial differential equations and optimization, 
92a:00035 
(Gong, Sheng) see Symposium: Hua, Luo Geng, 92g:00027 and 92g:00028 
(Goovaerts, M. J.) see Proceedings: Congress on Computational and Applied Mathematics, 
92d:00032 
(Graovac, Ante) see Mathematical chemistry and computation, 92f:00026 
(Gronau, Detlef) see Meeting: Mathematicians, 92g:00022 
(Gruber, Bruno) see Symmetries in science, 92b:00047 
(Gu, Chao Hao) see Nonlinear physics, 92b:00043 
(Gustafsson, Bertil) see Conference: Hyperbolic Problems, 92a:00036 
(Hennart, J. P.) see Advances in numerical partial differential equations and optimization, 
92a:00035 
(Hennig, Jorg D.) see Lectures on supermanifolds, geometrical methods and conformal 
groups, 92b:00041 
(Hersh, Reuben) see New directions in the philosophy of mathematics, 924:00029 
(Hirshfeld, Allen C.) see Geometry and theoretical physics, 92f:00024 
(Hogarth, W. L.) see Computational techniques and applications: CTAC-89, 924:00025 
(Hsii, Chén Jung) see Algebra, analysis and geometry, 92b:00034 
(Hua, Luo Geng) see Symposium: Hua, Luo Geng, 92g:00027 and 92g:00028 
(Huisken, Gerhard) see Workshop: Theoretical and Numerical Aspects of Geometric 
Variational Problems, 92g:00031 
(Hussin, Véronique) see Lie theory, differential equations and representation theory, 
92b:00042 
(Hutchinsen, John E.) see Workshop: Theoretical and Numerical Aspects of Geometric 
Variational Problems, 92g:00031 
(Hyman, James M.) see Nonlinear science: the next decade, 92d:00030 
(Iachello, Francesco) see Symmetries in science, 92b:00047 
(Ito, Masami!) see Words, languages and combinatorics, 92m:00061 
(Ivanov, Simeon) see Spectral theory of operators, 92m:00059 
(Jarre, Giovanni) see Current problems of applied mechanics, 92m:00037 
(Jarvis, R. J.) see Ordinary and partial differential equations, 92m:00046 
(Jerison, David) see Partial differential equations with minimal smoothness and applications, 
92m:00047 
(Kaashoek, M. A.) see Topics in matrix and operator theory, 92a:00042 
(Kaiser, H. K.) see Contributions to general algebra, 92h:00022 
(Kang, Ming Chang) see Algebra, analysis and geometry, 92b:00034 
(Kaniowski, Andrzej) see Man—nature—cosmos, 92m:00045 
(Kaper, Hans G.) see Asymptotic analysis and the numerical solution of partial differential 
equations, 92b:00035 
(Kawasaki, Kyozi) see Formation, dynamics and statistics of patterns, 92m:09042 
(Kenig, Carlos E.) see Partial differential equations with minimal smoothness and applica- 
tions, 92m:00047 
(King, P. J.B.) see Performance ’90 


15 1992 


(Komkov, Vadim) see Geometric aspects of industrial design, 92m:00043 and Theoretical 
aspects of industrial design, 92m:00060 

(Koshi, Shozo) see Functional analysis & related topics, 92h:00024 

(Krbec, Miroslav) see Nonlinear analysis, function spaces and applications, 92i:00024 

(Kreiss, Heinz-Otto) see Conference: Hyperbolic Problems, 922:00036 

(Kufner, Alois) see Nonlinear analysis, function spaces and applications, 92i:00024 

(Kihnau, R.) see Boundary value and initial value problems in complex analysis: studies 
in complex analysis andits applications to partial differential equations, 92h:00020 and 
Geometric function theory and applications of complex analysis to mechanics: studies in 
complex analysis and its applications to partial differential equations, 92h:00021 

(Kurzhanskii, A. B.) see Dynamical systems, 92b:00038 

(Kurzweil, Jaroslav) see Equadiff, 92f:00023 

(Kuusk, Piret) see Quasigroups and nonassociative algebras in physics, 92m:00057 

(Levi, D.) see Symmetries and nonlinear phenomena, 92b:00046 

(Li, Kuo Wei) see Algebra, analysis and geometry, 92b:00034 

(Li, Yi Shen) see Nonlinear physics, 92b:00043 

(Lintz, R. G.) see Proceedings: Symposium on Mathematics and Theoretical Physics, 
92g:00026 


(Léhmus, J.) see Quasigroups and nonassociative algebras in physics, 92m:00057 

(La, Qi Keng) see Symposium: Hua, Luo Geng, 92g:00027 and 92g:00028 

(Lundqvist, S.O.) see Frontiers in physics, high technology and mathematics, 92h:00023 

(Mandal, B. N.) see Birthday: Das Gupta, S. C., 92b:00036 

(Mattson, H. F., Jr.) see Applied algebra, algebraic algorithms, and error-correcting codes, 
92g:00020 

(Melter, Robert A.) see Vision geometry, 922:00043 

(Merlini, Danilo) see Stochastic processes, physics and geometry, 92c:00017 

(Merzlyakov, Yu. I.) see Proceedings: All-Union Conference “The Student and Scientific- 
Technological Progress”, 92c:00016 

(Mitrani, Isi) see Performance ’90 

(Mond, D. M. Q.) see Singularity theory and its applications, 924:00035 

(Montaldi, James) see Singularity theory and its applications, 92d:00035 

(Mora, Teo) see Applied algebra, algebraic algorithms, and error-correcting codes, 92g:00020 

(Moresi, Remo) see Stochastic processes, physics and geometry, 92c:00017 

(Mshimba, Ali Seif) see Functional analytic methods in complex analysis and applications to 
partial differential equations, 92i:00023 

(Mukhopadhyay, Asutosh) see Proceedings: Seminar on Mathematics, 92f:00027 

(Miller, Winfried B.) see Contributions to general algebra, 92h:00022 

(Neidhardt, Hagen) see Order, disorder and chaos in quantum systems, 92c:00015 

(Neunzert, Helmut) see Proceedings: Symposium on Mathematics in Industry, 92d:00033 

(Nicas, Andrew J.) see Differential geometry, global analysis, and topology, 92m:00041 

(Nikol’skii, S.M.) see Theory of functions and approximations, 92i:00028a; 92i:00028b and 
92i:00028c 

(Noye, John) see Computational techniques and applications: CTAC-89, 92d:00025 

(Onuki, Akira) see Formation, dynamics and statistics of patterns, 92m:00042 

(Opic, Bohumir) see Nonlinear analysis, function spaces and applications, 92i:00024 

(Palev, Tchavdar D.) see Lectures on supermanifolds, geometrical methods and conformal 
groups, 92b:00041 

(Patra, Baidyanath) see Birthday: Das Gupta, S. C., 92b:00036 

(Piessens, Robert) see Proceedings: Congress on Computational and Applied Mathematics, 
92d:00032 

(Pipher, Jill) see Partial differential equations with minimal smoothness and applications, 
92m:00047 

(Popowicz, Z.) see Nonlinear fields: classical, random, semiclassical, 92i:00025 

(Puel, Jean-Pierre) see Applied mathematics for engineering sciences, 92i:00021 

(Pulmannova, Sylvia) see Proceedings: School on Measure Theory, 92b:00045 

(Rabinovich, M.1.) see Nonlinear waves, 92d:00031 

(Raghunathan, T.T.) see Symposium: Analysis, 92b:00048 

(Rakosnik, Jiri) see Nonlinear analysis, function spaces and applications, 92i:00024 

(Ramanujan, Srinivasa) see Symposium: Analysis, 92b:00048 

(Reich, Ludwig) see Meeting: Mathematicians, 92g:00022 

(Roberts, Mark) see Singularity theory and its applications, 924:00036 

(Rosenfeld, Azriel) see Vision geometry, 92a:00043 

(Roubens, Marc) see Aggregation and best choices of imprecise opinions 

(Ruiz Ziiiga, Angel) see Mathematics in Costa Rica, 92e:00013 

(Sabatier, Pierre C.) see Inverse methods in action, 92a:00040 

(Satake, Ichiré) see Proceedings: Congress of Mathematicians, 92m:00054 

(Sattinger, D. H.) see Inverse scattering and applications, 92f:00025 

(Shadwick, William F.) see Differential geometry, global analysis, and topology, 92m:00041 

(Sharma, Krishna Chandra) see Symposium: Analysis, 92b:00048 

(Shih, Kung Hsing) see Algebra, analysis and geometry, 92b:00034 

(Sigmund, Karl) see Dynamical systems, 92b:00038 

(Sleeman, B.D.) see Ordinary and partial differential equations, 92m:00046 

(Solomon, Allan I.) see Differential geometric methods in theoretical physics, 92d:00027 

(Souéek, V.) see Proceedings: School on Geometry and Physics, 92i:00027 

(Spigler, Renato) see Applied and industrial mathematics, 92i:00020 

(Stewart, Ian N.) see Singularity theory and its applications, 924:00036 

(Suzuki, Masuo) see Formation, dynamics and statistics of patterns, 92m:00042 

(Tapia, Richard A.) see Advances in numerical partial differential equations and optimization, 
92a:00035 

(Thakare, N. K.) see Symposium: Analysis, 92b:00048 

(Théra, Michel) see Fixed point theory and applications, 92b:00040 

(Torrésani, Bruno) see Electromagnetic and acoustic scattering: detection and inverse 
problem, 92b:00039 

(Tracy, Craig A.) see Inverse scattering and applications, 92f:00025 

(Tu, Gui Zhang) see Nonlinear physics, 92b:00043 

(Tutschke, Wolfgang) see Boundary value and initial value problems in complex analysis: 
studies in complex analysis andits applications to partial differential equations, 92h:00020,; 
Geometric function theory and applications of complex analysis to mechanics: studies 
in complex analysis and its applications to partial differential equations, 92h:00021 and 


00B Conference proceedings and collections of papers 


00B25 


Functional analytic methods in complex analysis and applications to partial differential 
equations, 92i:00023 

(Velarde, Manuel G.) see Synergetics, order and chaos, 92b:00049 

(Venakides, Stephanos) see Inverse scattering and applications, 92f:00025 

(Wang, Yuan') see Symposium: Hua, Luo Geng, 92g:00027 and 92g:00028 

(Wen, Guo Chun) see Integral equations and boundary value problems, 92a:00039 and 
Conference: Integral Equations and Boundary Value Problems, 92f:00022 

(Winternitz, Pavel) see Symmetries and nonlinear phenomena, 92b:00046 

(Wuytack, L.) see Proceedings: Congress on Computational and Applied Mathematics, 
924:00032 

(Yang, Le) see Symposium: Hua, Luo Geng, 92g:00027 and 92g:00028 

(Zhao, Zhen) see Integral equations and boundary value problems, 92a:00039 and Confer- 
ence: Integral Equations and Boundary Value Problems, 92f:00022 

(Zivkovié, Tomislav P.) see Mathematical chemistry and computation, 92f:00026 


Items listed otherwise than by author 

Acquafredda di Maratea * Trends in functional analysis and approximation theory. 
92f:00028 

Advances in numerical partial differential equations and optimization * Advances in 
numerical partial differential equations and optimization. 92a:00035 

Aggregation and best choices of imprecise opinions * Aggregation and best choices of 
imprecise opinions. 

Algebra, analysis and geometry * Algebra, analysis and geometry. 92b:00034 

All-Union Conference: 

“Student and Scientific-Technological Progress” * Matepuanbi XX VII BcecowsHok 
Haysnok Crynenyecxott Kondepenuuu “Cryzent u Hayano-Texnayecxon Iporpecc”. 
(Russian) [Proceedings of the XXVII All-Union Scientific Student Conference “The 
Student and Scientific-Technological Progress”] 92c:00016 

American Mathematical Society Translations, Series 2. * Spectral theory of operators. 
92m:00059 

Amherst, MA * Inverse scattering and applications. 92f:00025 

Amsterdam * Computational aspects of Lie group representations and related topics. 
92b:00037 

Analyse complexe * Analyse complexe. (French) [Complex analysis] 

— * Analyse complexe. [Complex analysis] 

— * Analyse complexe. [Complex analysis] 

— * Analyse complexe. [Complex analysis] 

Analyse globale et physique mathématique * Analyse globale et physique mathématique. 

(French) [Global analysis and mathematical physics] 92d:00028 

Anniversary: 

Birth of Ramanujan, Srinivasa * Ramanujan International Symposium on Analysis. 
92b:00048 

International Centre for Theoretical Physics * Frontiers in physics, high technology and 
mathematics. 92h:00023 

Applied algebra, algebraic algorithms and error-correcting codes * Applied algebra, algebraic 
algorithms, and error-correcting codes. 92g:00020 

Applied and industrial mathematics * Applied and industrial mathematics. 92i:00020 

Applied mathematics for engineering sciences * Mathématiques appliquées aux sciences de 
Pingénieur. [Applied mathematics for engineering sciences] 92i:00021 

Arcata, CA * Continuum theory and dynamical systems. 92a:00038 

Argonne, IL * Asymptotic analysis and the numerical solution of partial differential 
equations. 92b:00035 

Ascona * Stochastic processes, physics and geometry. 92c:00017 

Asymptotic analysis and the numerical solution of partial differential equations * Asymptotic 
analysis and the numerical solution of partial differential equations. 92b:00035 

Bad Honnef * Geometry and theoretical physics. 92f:00024 

Beijing * Integral equations and boundary value problems. 92a:00039 

— * International Conference on Integral Equations and Boundary Value Problems. 
92f:00022 

— * International Symposium in Memory of Hua Loo Keng. Vol. I. 92g:00027 

— * International Symposium in Memory of Hua Loo Keng. Vol. II. 92g:00028 

Birmingham, AL * Differential equations and mathematical physics. 92d:00026 

Birthday: 

Das Gupta, S.C. * Sixty-fifth birthday celebration of Professor S. C. Das Gupta, D. Sc. 
92b:00036 

Kreiss, Heinz-Otto * Third International Conference on Hyperbolic Problems. Vol. I, II. 
922:00036 

Boundary value and initial value problems in complex analysis: studies in complex analysis 
and its applications to partial differential equations * Boundary value and initial value 
problems in complex analysis: studies in complex analysis and its applications to partial 
differential equations. 1. 92h:00020 

Braga * Actas das XII Jornadas Luso-Espanholas de Matematica. Vol. I. [Proceedings of 
the XIIth Portuguese-Spanish Conference on Mathematics. Vol. I] 92g:00023 

— * Actas das XII Jornadas Luso-Espanholas de Matematica. Vol. II. (Spanish) [Proceed- 
ings of the XIIth Portuguese-Spanish Conference on Mathematics. Vol. 11] 92g:00024 

— * Actas das XII Jornadas Luso-Espanholas de Matematica. Vol. III. (Portuguese) 

[Proceedings of the XIIth Portuguese-Spanish Conference on Mathematics. Vol. III] 

92g:00025 

Brisbane * Computational techniques and applications: CTAC-89. 92d:00025 

Brussels * Aggregation and best choices of imprecise opinions. 

Bucharest * Analyse complexe. (French) [Complex analysis} 

— * Analyse complexe. [Complex analysis] 

— * Analyse complexe. [Complex analysis] 

— * Analyse complexe. [Complex analysis] 

Calcutta * Proceedings of the National Seminar on Mathematics. 92f:00027 

Cambridge, MA * Surveys in differential geometry. 92h:00025 

Canberra * Workshop on Theoretical and Numerical Aspects of Geometric Variational 
Problems. 92g:00031 

Chester * Differential geometric methods in theoretical physics. 92d:00027 








00B25 


Chicago, IL * Partial differential equations with minimal smoothness and applications. 
92m:00047 
Cochin * Proceedings of the Symposium on Algebra and Number Theory. 92m:00056 
Colloquium: 
Combet, Edmond * Analyse globale et physique mathématique. (French) [Global 
analysis and mathematical physics] 92d:00028 
Complex Analysis * Analyse complexe. (French) [Complex analysis] 
— * Analyse complexe. [Complex analysis] 
— * Analyse complexe. [Complex analysis] 
— * Analyse complexe. [Complex analysis] 
Electromagnetic and Acoustic Scattering, Detection and Inverse Scattering Problem 
* Electromagnetic and acoustic scattering: detection and inverse problem. 92b:00039 
Gédel, Kurt * Proceedings of the First Kurt Gédel Colloquium. 92i:00026 
Micro- and Macroscopic Phenomena * 2° Colloque “Phénoménes Micro et Macro- 
scopiques”. (French) [Second Colloquium on Micro- and Macroscopic Phenomena] 
92d:00024 
Philosophy and History of Mathematics * II Coloquio Internacional de Filosofia e 
Historia de las Matematicas. (Spanish) [2nd International Colloquium on Philosophy 
and History of Mathematics] 92i:00022 
Theory of Differential Equations in the Complex Field * Equations différentielles 
dans le champ complexe. Vol. I. [Differential equations in the complex field. Vol. I] 
92m:00038 
— * Equations différentielles dans le champ complexe. Vol. II. [Differential equations in 
the complex field. Vol. II] 92m:00039 
— * Equations différentielles dans le champ complexe. Vol. III. (French) [Differential 
equations in the complex field. Vol. III] 92m:00040 
Words, Languages and Combinatorics * Words, languages and combinatorics. 
92m:00061 
Complex analysis * Analyse complexe. (French) [Complex analysis] 
— * Analyse complexe. [Complex analysis] 
— * Analyse complexe. [Complex analysis] 
— * Analyse complexe. [Complex analysis] 
Computational aspects of Lie group representations and related topics * Computational 
aspects of Lie group representations and related topics. 92b:00037 
Computational techniques and applications: CTAC-89 * Computational techniques and 
applications: CTAC-89. 924:00025 
Conference: 
Anniversary of the International Centre for Theoretical Physics * Frontiers in physics, 
high technology and mathematics. 92h:00023 
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes * Applied algebra, 
algebraic algorithms, and error-correcting codes. 92g:00020 
Center for Nonlinear Studies * Nonlinear science: the next decade. 92d:00030 
Complex Analysis and its Applications to Partial Differential Equations * Boundary value 
and initial value problems in complex analysis: studies in complex analysis and its 
applications to partial differential equations. 1. 92h:00020 
— * Geometric function theory and applications of complex analysis to mechanics: 
studies in complex analysis and its applications to partial differential equations. 2. 
92h:00021 
Computational Techniques and Applications * Computational techniques and applica- 
tions: CTAC-89. 924:00025 
Continuum Theory and Dynamical Systems * Continuum theory and dynamical systems. 
92a:00038 
Current Problems of Applied Mechanics * Problemi attuali di meccanica applicata. 
(Italian) [Current problems of applied mechanics] 92m:00037 
Differential Equations and Mathematical Physics * Differential equations and mathemat- 
ical physics. 924:00026 
Differential Equations and their Applications * Equadiff 7. 92f:00023 
Differential Geometric Methods in Theoretical Physics * Differential geometric methods 
in theoretical physics. 92d:00027 
— * Differential geometric methods in theoretical physics. 92g:00021 
Differential Geometry and Topology * Conference on Differential Geometry and 
Topology. 92c:00014 
— * Giornate di Studio su Geometria Differenziale Topologia. [Conference on Differen- 
tial Geometry and Topology] 92m:00036 
Fixed Point Theory and Applications * Fixed point theory and applications. 92b:00040 
General Algebra * Contributions to general algebra. 7. 92h:00022 
Geometry and Topology * Surveys in differential geometry. 92h:00025 
Hyperbolic Problems * Third International Conference on Hyperbolic Problems. Vol. I, 
II. 92a:00036 
Industrial Design Theory * Geometric aspects of industrial design. 92m:00043 
— * Theoretical aspects of industrial design. 92m:00060 
Information Theory, Statistical Decision Functions, Random Processes * Transactions of 
the Tenth Prague Conference on Information Theory, Statistical Decision Functions, 
Random Processes. Vol. A. 92g:00029 
— * Transactions of the Tenth Prague Conference on Information Theory, Statistical 
Decision Functions, Random Processes. Vol. B. 92g:00030 
Integral Equations and Boundary Value Problems * Integral equations and boundary 
value problems. 92a:00039 
— * International Conference on Integral Equations and Boundary Value Problems. 
92f:00022 
Inverse Scattering on the Line * Inverse scattering and applications. 92f:00025 
Man—Nature—Cosmos: Philosophical Problems of Ecology * Mensch—Natur— 
Kosmos. [Man—nature—cosmos] 92m:00045 
Mathematical Chemistry and Computation * Mathematical chemistry and computation. 
92f:00026 
Mathematics * Proceedings of the 21st. Annual Iranian Mathematics Conference. 
92m:00055 
— * Actas das XII Jornadas Luso-Espanholas de Matematica. Vol. I. [Proceedings of the 
XIIth Portuguese-Spanish Conference on Mathematics. Vol. I] 92g:00023 
— * Actas das XII Jornadas Luso-Espanholas de Matematica. Vol. II. (Spanish) 


GENERAL 


Conference: (cont'd. ) 
[Proceedings of the XIIth Portuguese-Spanish Conference on Mathematics. Vol. IT] 
92g:00024 
— * Actas das XII Jornadas Luso-Espanholas de Matematica. Vol. III. (Portuguese) 
[Proceedings of the XIIth Portuguese-Spanish Conference on Mathematics. Vol. III] 
92g:00025 
— * XIV Jornadas Hispano-Lusas de Matemiaticas. Vol. I-III. (Spanish) [Proceedings of 
the XIVth Spanish-Portuguese Conference on Mathematics. Vol. I-III] 92b:00044 
— * XV Jornadas Luso-Espanholas de Matematica. Vol. I. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. I] 92m:00048 
— * XV Jornadas Luso-Espanholas de Matematica. Vol II. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. II] 92m:00049 
— * XV Jornadas Luso-Espanholas de Matematica. Vol. III. (Spanish) [Proceedings of 
the XVth Portuguese-Spanish Conference on Mathematics. Vol. IIT] 92m:00050 
— * XV Jornadas Luso-Espanholas de Matematica. Vol. IV. (Spanish) [Proceedings of 
the XVth Portuguese-Spanish Conference on Mathematics. Vol. 1V] 92m:00051 
— * XV Jornadas Luso-Espanholas de Matematica. Vol. V. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. V] 92m:00052 
— * XV Jornadas Luso-Espanholas de Matematica. Vol. VI. (Spanish) [Proceedings of 
the X Vth Portuguese-Spanish Conference on Mathematics. Vol. VI] 92m:00053 
Nonlinear Physics * Nonlinear physics. 92b:00043 
Nonlinear Science: the Next Decade * Nonlinear science: the next decade. 924:00030 
Numerical Mathematics and Computing * Proceedings of the Twentieth Manitoba 
Conference on Numerical Mathematics and Computing. 
— * Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics 
and Computing. 
— * Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics 
and Computing. 
Order, Disorder and Chaos in Quantum Systems * Order, disorder and chaos in quantum 
systems. 92c:00015 
Ordinary and Partial Differential Equations * Ordinary and partial differential equations. 
Vol. III. 92m:00046 
Partial Differential Equations with Minimal Smoothness and Applications * Partial 
differential equations with minimal smoothness and applications. 92m:00047 
Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory * Selfadjoint and 
nonseifadjoint operator aigebras and operator theory. 924:00034 
Sketches, Logic and Theoretical Computer Science * Journées E.L.I.T. (Esquisses, 
Logique et Informatique Théorique). Vol. 3. [Conference on Sketches, Logic and 
Theoretical Computer Science. Vol. 3] 
Stochastic Processes—Physics and G 
geometry. 92c:00017 
Symmetries and Nonlinear Phenomena * Symmetries and nonlinear phenomena. 
92b:00046 
Synergetics, Order and Chaos * Synergetics, order and chaos. 92b:00049 
Union of Bulgarian Mathematicians * MatemaTuka 4 MaTeMaTH4ecKo O6pa30BaHHe. 
(Bulgarian) [Mathematics and mathematical education] 92a:00041 
Congress: 
Computational and Applied Mathematics * Proceedings of the Fourth International 
Congress on Computational and Applied Mathematics. 92d:00032 
International Fuzzy Systems Association (IFSA) * Industrial engineering methods. 
92m:00044 
Mathematicians * Mathematiker-Kongress der Deutschen Demokratischen Republik 
1990. (German) [Congress of Mathematicians of the German Democratic Republic 
1990] 92a:00037a 
— * Mathematiker-Kongress der Deutschen Demokratischen Republik 1990. (German) 
[Congress of Mathematicians of the German Democratic Republic 1990] 92a:00037b 
— * Mathematiker-Kongress der Deutschen Demokratischen Republik 1990. (German) 
[Congress of Mathematicians of the German Democratic Republic 1990] 92a:00037c 
— * Proceedings of the International Congress of Mathematicians. Vol. I, II. 92m:00054 
Mathematics * Las matematicas en Costa Rica. Vol. 1. (Spanish) [Mathematics in Costa 
Rica. Vol. 1] 92¢:00013 
Contemporary Mathematics * Continuum theory and dynamical systems. 92a:00038 
— * Vision geometry. 92a:00043 
— * Selfadjoint and nonselfadjoint operator algebras and operator theory. 92d:00034 
— * Inverse scattering and applications. 92f:00025 
Continuum theory and dynamical systems * Continuum theory and dynamical systems. 
92a:00038 
Contributions to general algebra * Contributions to general algebra. 7. 92h:00022 
Coventry * Singularity theory and its applications. Part I. 92d:00035 
— * Singularity theory and its applications. Part II. 92d:00036 
Current problems of applied mechanics * Problemi attuali di meccanica applicata. (Italian) 
[Current problems of applied mechanics] 92m:00037 
Darmstadt, 1991 %* Seminar Sophus Lie. 92m:00058 
Differential equations and mathematical physics * Differential equations and mathematical 
physics. 92d:00026 
Differential equations in the complex field * Equations différentielles dans le champ 
complexe. Vol. I. [Differential equations in the complex field. Vol. I] 92m:00038 
— * Equations différentielles dans le champ complexe. Vol. II. [Differential equations in the 
complex field. Vol. II] 92m:00039 
— * Equations différentielles dans le champ complexe. Vol. III. (French) [Differential 
equations in the complex field. Vol. IIT] 92m:00040 
Differential geometric methods in theoretical physics * Differential geometric methods in 
theoretical physics. 924:00027 
— * Differential geometric methods in theoretical physics. 92g:00021 
Differential geometry, global analysis, and topology * Differential geometry, global analysis, 
and topology. 92m:00041 
Dresden * Mathematiker-Kongress der Deutschen Demokratischen Republik 1990. 
(German) [Congress of Mathematicians of the German Democratic Republic 1990] 
92a:00037a 
— * Mathematiker-Kongress der Deutschen Demokratischen Republik 1990. (German) 


try * Stochastic processes, physics and 








17 1992 


[Congress of Mathematicians of the German Democratic Republic 1990] 92a:00037b 

— * Mathematiker-Kongress der Deutschen Demokratischen Republik 1990. (German) 
[Congress of Mathematicians of the German Democratic Republic 1990] 92a:00037c 

Dubna * Order, disorder and chaos in quantum systems. 92c:00015 

Dubrovnik * Mathematical chemistry and computation. 92f:00026 

Dundee * Ordinary and partial differential equations. Vol. III. 92m:00046 

Dynamical systems * Dynamical systems. 92b:00038 

Edinburgh * Performance ’90. 

Electromagnetic and acoustic scattering: detection and inverse problem * Electromagnetic 
and acoustic scattering: detection and inverse problem. 92b:00039 

Equadiff * Equadiff 7. 92f:00023 

Equations différentielles dans le champ complexe * Equations différentielles dans le champ 
complexe. Vol. I. [Differential equations in the complex field. Vol. I] 92m:00038 

— * Equations différentielles dans le champ complexe. Vol. II. [Differential equations in the 
complex field. Vol. II] 92m:00039 

— * Equations différentielles dans le champ complexe. Vol. III. (French) [Differential 
equations in the complex field. Vol. III] 92m:00040 

Evora * XV Jornadas Luso-Espanholas de Matematica. Vol. I. (Spanish) [Proceedings of 
the XVth Portuguese-Spanish Conference on Mathematics. Vol. I] 92m:00048 

— * XV Jornadas Luso-Espanholas de Matematica. Vol II. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. II] 92m:00049 

— * XV Jornadas Luso-Espanholas de Matematica. Vol. III. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. III] 92m:00050 

— * XV Jornadas Luso-Espanholas de Matematica. Vol. IV. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. IV] 92m:00051 

— * XV Jornadas Luso-Espanholas de Matematica. Vol. V. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. V] 92m:00052 

— * XV Jornadas Luso-Espanholas de Matematica. Vol. VI. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. VI] 92m:00053 

Fixed point theory and applications * Fixed point theory and applications. 92b:00040 

Formation, dynamics and statistics of patterns * Formation, dynamics and statistics of 
patterns. Vol. 1. 92m:00042 

Fort Worth, TX * Selfadjoint and nonselfadjoint operator algebras and operator theory. 
92d:00034 

Frontiers in physics, high technology and mathematics * Frontiers in physics, high 
technology and mathematics. 92h:00023 

Functional analysis & related topics * Functional analysis & related topics. 92h:00024 

Functional analytic methods in complex analysis and applications to partial differential 
equations * Functional analytic methods in complex analysis and applications to partial 
differential equations. 92i:00023 

Geometric aspects of industrial design * Geometric aspects of industriai design. 92m:00043 

Geometric function theory and applications of complex analysis to mechanics: studies in 
complex analysis and its applications to partial differentia! equations * Geometric 
function theory and applications of complex analysis to mechanics: studies in complex 
analysis and its applications to partial differential equations. 2. 92h:00021 

Geometry and theoretical physics * Geometry and theoretical physics. 92f:00024 

Global analysis and mathematical physics * Analyse globale et physique mathématique. 
(French) [Global analysis and mathematical physics] 92d:00028 

Graz * VII. Mathematikertreffen Zagreb-Graz. [VIIth Zagreb-Graz Meeting of Mathemati- 
cians] 92g:00022 

Guarujé * Proceedings of the International Symposium on Mathematics and Theoretical 
Physics. 92g:00026 

Halifax, NS * Differential geometry, global analysis, and topology. 92m:00041 

Halle * Boundary value and initial value problems in complex analysis: studies in complex 
analysis and its applications to partial differential equations. 1. 92h:00020 

— * Geometric function theory and applications of complex analysis to mechanics: studies 
in complex analysis and its applications to partial differential equations. 2. 92h:00021 

Hannover * Bericht iiber die Wissenschaftliche Jahrestagung der GAMM. [Proceedings of 
the Annual Scientific Meeting of the GAMM] 92e:00014 

Hoboken, NJ * Vision geometry. 92a:00043 

Howrah * Sixty-fifth birthday celebration of Professor S. C. Das Gupta, D. Sc. 92b:00036 

Industrial engineering methods * Industrial engineering methods. 92m:00044 

Integral equations and boundary value problems * Integral equations and boundary value 
problems. 92a:00039 

Inverse methods in action * Inverse methods in action. 92a:00040 

Inverse scattering and applications * Inverse scattering and applications. 92f:00025 

Isfahan * Proceedings of the 21st. Annual Iranian Mathematics Conference. 92m:00055 

Karpacz * Nonlinear fields: classical, random, semiclassical. 92i:00025 

Kyoto * Proceedings of the International Congress of Mathematicians. Vol. I, II. 
92m:00054 

— * Words, languages and combinatorics. 92m:00061 

Lecce * Giornate di Studio su Geometria Differenziale Topologia. [Conference on 
Differential Geometry and Topology] 92m:00036 

Lecture Notes in Economics and Mathematical Systems * Dynamical systems. 92b:00038 

Lecture Notes in Mathematics * Singularity theory and its applications. Part I. 92d:00035 

— * Singularity theory and its applications. Part II. 924:00036 

Lecture Notes in Physics * Differential geometric methods in theoretical physics. 
92g:00021 

Lectures on supermanifolds, geometrical methods and conformal groups * Lectures on 
supermanifolds, geometrical methods and conformal groups. 92b:00041 

Leuven * Proceedings of the Fourth International Congress on Computational and Applied 
Mathematics. 92d:00032 

Lie theory, differential equations and representation theory * Lie theory, differential 
equations and representation theory. 92b:00042 

Liptovsky Jan * Proceedings of the Second Winter School on Measure Theory. 92b:00045 

Locarno * Stochastic processes, physics and geometry. 92c:00017 

Los Alamos, NM * Nonlinear science: the next decade. 924:00030 

Lyon * Analyse globale et physique mathématique. (French) [Global analysis and 
mathematical physics] 92d:00028 

Madrid * Synergetics, order and chaos. 92b:00049 


00B Conference proceedings and collections of papers 


00B25 


Man—nature—cosmos * Mensch—Natur—Kosmos. [Man—nature—cosmos] 92m:00045 
Marseille * Electromagnetic and acoustic scattering: detection and inverse problem. 
92b:00039 
— * Fixed point theory and applications. 92b:00040 
Mathematical chemistry and computation * Mathematical chemistry and computation. 
92f:00026 
Mathematics and mathematical education * MaTemaTuka H MaTeMaTH4ecKO O6pa30BaHHe. 
(Bulgarian) [Mathematics and mathematical education] 92a:00041 
Mathematics in Costa Rica * Las matematicas en Costa Rica. Vol. 1. (Spanish) [Mathemat- 
ics in Costa Rica. Vol. 1] 92e:00013 
Mathématiques appliquées aux sciences de l’ingénieur * Mathématiques appliquées aux 
sciences de l’ingénieur. [Applied mathematics for engineering sciences] 92i:00021 
Meeting: 
American Association for the Advancement of Science * New directions in the philosophy 
of mathematics. 924:00029 
Canadian Mathematical Society * Differential geometry, global analysis, and topology. 
92m:00041 
GAMM * Bericht iiber die Wissenschaftliche Jahrestagung der GAMM. [Proceedings of 
the Annual Scientific Meeting of the GAMM] 92e:00014 
Geometry and Theoretical Physics * Geometry and theoretical physics. 92f:00024 
Inverse Problems * Inverse methods in action. 92a:00040 
Mathematicians * VII. Mathematikertreffen Zagreb-Graz. [VIIth Zagreb-Graz Meeting 
of Mathematicians] 92g:00022 
Trends in Functional Analysis and Approximation Theory * Trends in functional analysis 
and approximation theory. 92f:00028 
Mensch—Natur—Kosmos * Mensch—Natur—Kosmos. [Man—nature—cosmos] 
92m:00045 
Mérida * Advances in numerical partial differential equations and optimization. 
92a:00035 
México City * II Coloquio Internacional de Filosofia e Historia de las Matematicas. 
(Spanish) [2nd International Colloquium on Philosophy and History of Mathematics] 
92i:00022 
Montpellier * Inverse methods in action. 92a:00040 
Montreal, PQ * Lie theory, differential equations and representation theory. 92b:00042 
New directions in the philosophy of mathematics * New directions in the philosophy of 
mathematics. 924:00029 
New Orleans, LA * New directions in the philosophy of mathematics. 92d:00029 
Nonlinear analysis, function spaces and applications * Nonlinear analysis, function spaces 
and applications. Vol. 4. 92i:00024 
Nonlinear fields: classical, random, semiclassical * Nonlinear fields: classical, random, 
semiclassical. 92i:00025 
Nonlinear physics * Nonlinear physics. 92b:00043 
Nonlinear science: the next decade * Nonlinear science: the next decade. 92d:00030 
Nonlinear waves * Henunefupie somnni. (Russian) [Nonlinear waves] 92d:00031 
Novgorod * Spectral theory of operators. 92m:00059 
Novosibirsk * Matepuansi XX VII Bcecowsnok Hayanokt Cryzenyecxoh Kondepennnn 
“Crynent u Haysno-Texunyeckon Iporpecc”. (Russian) [Proceedings of the XXVII 
All-Union Scientific Student Conference “The Student and Scientific-Technological 
Progress”] 92c:00016 
Oberwolfach * Proceedings of the Second European Symposium on Mathematics in 
Industry. 92d:00033 
Oran * 2° Colloque “Phénoménes Micro et Macroscopiques”. (French) [Second Collo- 
quium on Micro- and Macroscopic Phenomena] 924:00024 
Order, disorder and chaos in quantum systems * Order, disorder and chaos in quantum 
systems. 92c:00015 
Ordinary and partial differential equations * Ordinary and partial differential equations. 
Vol. III. 92m:00046 
Paipa * Symmetries and nonlinear phenomena. 92b:00046 
Paris * Journées E.L.I.T. (Esquisses, Logique et Informatique Théorique). Vol. 3. 
[Conference on Sketches, Logic and Theoretical Computer Science. Vol. 3] 
Partial differential equations with minimal smoothness and applications * Partial differential 
equations with minimal smoothness and applications. 92m:00047 
Performance 90 * Performance ’90. 
Podklasztorze * Mensch—Natur—Kosmos. [Man—nature—cosmos] 92m:00045 
Prague * Transactions of the Tenth Prague Conference on Information Theory, Statistical 
Decision Functions, Random Processes. Vol. A. 92g:00029 
— * Transactions of the Tenth Prague Conference on Information Theory, Statistical 
Decision Functions, Random Processes. Vol. B. 92g:00030 
— * Equadiff 7. 92:00023 


All-Union Conference “The Student and Scientific-Technological Progress” * Matepuasbi 
XXVII Beecow3not Hayanot Crynenuecxon Kondepenunu “Crynent u Haywno-Texun- 
ueckon IIporpecc”. (Russian) [Proceedings of the XXVII All-Union Scientific Student 
Conference “The Student and Scientific-Technological Progress”] 92c:00016 

Conference on Mathematics * Actas das XII Jornadas Luso-Espanholas de Matematica. 
Vol. I. [Proceedings of the XIIth Portuguese-Spanish Conference on Mathematics. Vol. 
I] 92g:00023 

— * Actas das XII Jornadas Luso-Espanholas de Matematica. Vol. II. (Spanish) 
[Proceedings of the XIIth Portuguese-Spanish Conference on Mathematics. Vol. II] 
92g:00024 

— * Actas das XII Jornadas Luso-Espanholas de Matematica. Vol. III. (Portuguese) 
[Proceedings of the XIIth Portuguese-Spanish Conference on Mathematics. Vol. III] 


92g:00025 

— * XIV Jornadas Hispano-Lusas de Matemiaticas. Vol. I-III. (Spanish) [Proceedings of 
the XIVth Spanish-Portuguese Conference on Mathematics. Vol. I-III] 92b:00044 

— * XV Jornadas Luso-Espanholas de Matematica. Vol. I. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. I] 92m:00048 

— * XV Jornadas Luso-Espanholas de Matematica. Vol II. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. II] 92m:00049 

— * XV Jornadas Luso-Espanholas de Matematica. Vol. III. (Spanish) [Proceedings of 








00B25 


Proceedings: (cont'd. ) 
the XVth Portuguese-Spanish Conference on Mathematics. Vol. III] 92m:00050 
— * XV Jornadas Luso-Espanholas de Matematica. Vol. IV. (Spanish) [Proceedings of 
the XVth Portuguese-Spanish Conference on Mathematics. Vol. IV] 92m:00051 
— * XV Jornadas Luso-Espanholas de Matematica. Vol. V. (Spanish) [Proceedings of the 
XVth Portuguese-Spanish Conference on Mathematics. Vol. V] 92m:00052 
— * XV Jornadas Luso-Espanholas de Matematica. Vol. VI. (Spanish) [Proceedings of 
the XVth Portuguese-Spanish Conference on Mathematics. Vol. VI] 92m:00053 
Conference on Numerical Mathematics and Computing * Proceedings of the Twentieth 
Manitoba Conference on Numerical Mathematics and Computing. 
— * Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics 
and Computing. 
— * Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics 
and Computing. 
Congress of Mathematicians * Proceedings of the International Congress of Mathemati- 
cians. Vol. I, II. 92m:00054 
Congress on Computational and Applied Mathematics * Proceedings of the Fourth 
International Congress on Computational and Applied Mathematics. 92d:00032 
Kurt Gédel Colloquium * Proceedings of the First Kurt Gédel Colloquium. 92i:00026 
Mathematics Conference * Proceedings of the 21st. Annual Iranian Mathematics 
Confe 92 
Meeting of the GAMM * Bericht iiber die Wissenschaftliche Jahrestagung der GAMM. 
[Proceedings of the Annual Scientific Meeting of the GAMM] 92¢:00014 
School on Geometry and Physics * Proceedings of the Winter School on Geometry and 
Physics. 92i:00027 
School on Measure Theory * Proceedings of the Second Winter School on Measure 
Theory. 92b:00045 
Seminar on Mathematics * Proceedings of the National Seminar on Mathematics. 
92£:00027 
Symposium on Algebra and Number Theory * Proceedings of the Symposium on Algebra 
and Number Theory. 92m:00056 
Symposium on Mathematics and Theoretical Physics * Proceedings of the International 
Symposium on Mathematics and Theoretical Physics. 92g:00026 
Symposium on Mathematics in Industry * Proceedings of the Second European 
Symposium on Mathematics in Industry. 92d:00033 
Puerto de la Cruz * XIV Jornadas Hispano-Lusas de Matematicas. Vol. I-III. (Spanish) 
[Proceedings of the XIVth Spanish-Portuguese Conference on Mathematics. Vol. I-III] 
92b:00044 
Pune * Ramanujan International Symposium on Analysis. 92b:00048 
Quasigroups and nonassociative algebras in physics * Ksa3urpynmbl A HeaccolMaTHBHBbIe 
anre6ppi B @u3uKe. (Russian) [Quasigroups and nonasscciative algebras in physics] 
92m:00057 
Rapallo * Differential geometric methods in theoretical physics. 92g:00021 
Rotterdam * Topics in matrix and operator theory. 92a:00042 
Roudnice nad Labem * Nonlinear analysis, function spaces and applications. Vol. 4. 
921:00024 
Salzburg * Proceedings of the First Kurt Gédel Colloquium. 92i:00026 
San José * Las matematicas en Costa Rica. Vol. 1. (Spanish) [Mathematics in Costa Rica. 
Vol. 1] 92¢:00013 
Santiago * Mathématiques appliquées aux sciences de l’ingénieur. [Applied mathematics 
for engineering sciences] 92i:00021 
Sapporo * Functional analysis & related topics. 92h:00024 
Saratov * Teopua byHxuut #4 npHOnuxenni. Yacts |. (Russian) [Theory of functions and 
approximations. Part 1] 92i:00028a 
— * Teopus byHxuuit uw npa6nuxenut. Yacts 2. (Russian) [Theory of functions and 
approximations. Part 2] 92i:00028b 
— * Teopus byukuah u npHOnuxenuht. Uacts 3. (Russian) [Theory of functions and 
approximations. Part 3] 92i:00028c 
Sardinia * Conference on Differential Geometry and Topology. 92¢:00014 
School: 
Geometry and Physics * Proceedings of the Winter School on Geometry and Physics. 
921:00027 
Measure Theory * Proceedings of the Second Winter School on Measure Theory. 
92b:00045 
Nonlinear Analysis, Function Spaces and Applications * Nonlinear analysis, function 
spaces and applications. Vol. 4. 92i:00024 
Operators in Functional Spaces * Spectral theory of operators. 92m:00059 
Theoretical Physics * Nonlinear fields: classical, random, semiclassical. 92i:00025 
Theory of Functions and Approximations * Teopua dyxxuuit un npw6nnxennk. acts |. 
(Russian) [Theory of functions and approximations. Part 1] 92i:00028a 
— * Teopus dyxkuutit uw npH6nuxenutt. Uacts 2. (Russian) [Theory of functions and 
approximations. Part 2] 92i:00028b 
— * Teopus yxxunit uw npx6"uxennit. Uacts 3. (Russian) [Theory of functions and 
approximations. Part 3] 92i:00028c 
Seattle, WA * Industrial engineering methods. 92m:00044 
Selfadjoint and nonselfadjoint operator algebras and operator theory * Selfadjoint and 
nonselfadjoint operator algebras and operator theory. 92d:00034 
Seminar: 
Complex Analysis * Analyse complexe. (French) [Complex analysis] 
— * Analyse complexe. [Complex analysis] 
— * Analyse complexe. [Complex analysis] 
— * Analyse complexe. [Complex analysis] 
Computational Algebra * Computational aspects of Lie group representations and related 
topics. 92b:00037 
Lie, Sophus * Seminar Sophus Lie. 92m:00058 
Lie Theory, Differential Equations and Representation Theory * Lie theory, differential 
equations and representation theory. 92b:00042 
Mathematics * Proceedings of the National Seminar on Mathematics. 92f:00027 
Quasigroups and Nonassociative Algebras in Physics * Ksa3urpynnbi 4 HeaccouMaTHBHBIe 
anre6ppi B du3uKe. (Russian) [Quasigroups and nonassociative algebras in physics] 


00055 





GENERAL 


Seminar: (cont’d. ) 
92m:00057 
Techniques in Applied Mathematics and Applications * Sixty-fifth birthday celebration of 
Professor S. C. Das Gupta, D. Sc. 92b:00036 
Session: 
Differential Geometry, Global Analysis, and Topology * Differential geometry, global 
analysis, and topology. 92m:00041 
Geometry Related to Computer Vision * Vision geometry. 92a:00043 
Shanghai * Nonlinear physics. 92b:00043 
Singularity theory and its applications * Singularity theory and its applications. Part I. 
92d:00035 
— * Singularity theory and its applications. Part II. 92d:00036 
Sopron * Dynamical systems. 92b:00038 
Special Issue: 
Industrial engineering methods * Industrial engineering methods. 92m:00044 
Spectral theory of operators * Spectral theory of operators. 92m:00059 
Srni * Proceedings of the Winter School on Geometry and Physics. 92i:00027 
Stochastic processes, physics and geometry * Stochastic processes, physics and geometry. 
92c:00017 
Strasbourg * Equations différentielles dans le champ complexe. Vol. I. [Differential 
equations in the complex field. Vol. I] 92m:00038 
— * Equations différentielles dans le champ complexe. Vol. II. [Differential equations in the 
complex field. Vol. II] 92m:00039 
— * Equations différentielles dans le champ complexe. Vol. III. (French) [Differential 
equations in the complex field. Vol. III] 92m:00040 
Sunny Beach (SInchev Bryag) * Matematuka u MaTeMaTH4ecKo o6pa3osBaHue. (Bulgarian) 
[Mathematics and mathematical education] 92a:00041 
Surveys in differential geometry * Surveys in differential geometry. 92h:00025 
Symmetries and nonlinear phenomena * Symmetries and nonlinear phenomena. 92b:00046 
Symmetries in science * Symmetries in science. III. 92b:00047 
Symposium: 
Algebra and Number Theory * Proceedings of the Symposium on Algebra and Number 
Theory. 92m:00056 
Analysis * Ramanujan International Symposium on Analysis. 92b:00048 
Applied and Industrial Mathematics * Applied and industrial mathematics. 92i:00020 
Applied Mathematics * Mathématiques appliquées aux sciences de l’ingénieur. [Applied 
mathematics for engineering sciences] 92i:00021 
Computer Performance Modelling, Measurement and Evaluation * Performance ’90. 
Functional Analysis and Related Topics * Functional analysis & related topics. 
92h:00024 
Hsii, Chén Jung * Algebra, analysis and geometry. 92b:00034 
Hua, Luo Geng * International Symposium in Memory of Hua Loo Keng. Vol. I. 
92g:00027 
— * International Symposium in Memory of Hua Loo Keng. Vol. II. 92g:00028 
Mathematics and Theoretical Physics * Proceedings of the International Symposium on 
Mathematics and Theoretical Physics. 92g:00026 
Mathematics in Industry * Proceedings of the Second European Symposium on 
Mathematics in Industry. 92d:00033 
New Directions in the Philosophy of Mathematics * New directions in the philosophy of 
mathematics. 924:00029 
Shih, Kung Hsing * Algebra, analysis and geometry. 92b:00034 
Singularity Theory and its Applications * Singularity theory and its applications. Part I. 
92d:00035 
— * Singularity theory and its applications. Part II. 92d:00036 
Symmetries in Science * Symmetries in science. III. 92b:00047 
Synergetics, order and chaos * Synergetics, order and chaos. 92b:00049 
Taipei * Algebra, analysis and geometry. 92b:00034 
Tartu * Kea3urpynmbi 4 HeaccouHaTHBHbie anreOpbi B @usuKe. (Russian) [Quasigroups and 
nonassociative algebras in physics] 92m:00057 
Theoretical aspects of industrial design * Theoretical aspects of industrial design. 
92m:00060 
Theory of functions and approximations * Teopusa dyxkuuit uw npHOnuxenuh. Uacte |. 
(Russian) [Theory of functions and approximations. Part 1] 92i:00028a 
— * Teopus dyHxunit u npuOnuxennk. Uacts 2. (Russian) [Theory of functions and 
approximations. Part 2] 92i:00028b 
— * Teopus dyHkunit uw npHOnuxennk. Uacts 3. (Russian) [Theory of functions and 
approximations. Part 3] 92i:00028c 
Topics in matrix and operator theory * Topics in matrix and operator theory. 92a:00042 
Toulouse * Applied algebra, algebraic algorithms, and error-correcting codes. 92g:00020 
Transactions: 
Conference on Information Theory, Statistical Decision Functions, Random Processes 
* Transactions of the Tenth Prague Conference on Information Theory, Statistical 
Decision Functions, Random Processes. Vol. A. 92g:00029 
— * Transactions of the Tenth Prague Conference on Information Theory, Statistical 
Decision Functions, Random Processes. Vol. B. 92g:00030 
Trends in functional analysis and approximation theory * Trends in functional analysis and 
approximation theory. 92f:00028 
Trieste * Frontiers in physics, high technology and mathematics. 92h:00023 
— * Functional analytic methods in complex analysis and applications to partial differential 
equations. 92i:00023 
Turin * Problemi attuali di meccanica applicata. (Italian) [Current problems of applied 
mechanics] 92m:00037 
Uppsala * Third International Conference on Hyperbolic Problems. Vol. I, II. 92a:00036 
Venice * Applied and industrial mathematics. 92i:00020 
Vienna * Contributions to general algebra. 7. 92h:00022 
Vision geometry * Vision geometry. 92a:00043 
Vorarlberg * Symmetries in science. III. 92b:00047 
Winnipeg, MB * Proceedings of the Twentieth Manitoba Conference on Numerical 
Mathematics and Computing. 





19 1992 


— * Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics and 
Computing. 
— * Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics and 
Computing. 
Words, languages and combinatorics *x Words, languages and combinatorics. 92m:00061 
Workshop: 
Aggregation and Best Choices of Imprecise Opinions * Aggregation and best choices of 
imprecise opinions. 
Asymptotic Analysis and the Numerical Solution of Partial Differential Equations 
* Asymptotic analysis and the numerical solution of partial differential equations. 
92b:00035 ; 
Functional Analytic Methods in Complex Analysis and Applications to Partial Differential 
Equations * Functional analytic methods in complex analysis and applications to 
partial differential equations. 92i:06023 
Mathematics of Dynamic Processes * Dynamical systems. 92b:00038 
Matrix and Operator Theory * Topics in matrix and operator theory. 92a:00042 
Numerical Analysis * Advances in numerical partial differential equations and 
optimization. 92a:00035 
Theoretical and Numerical Aspects of Geometric Variational Problems * Workshop on 
Theoretical and Numerical Aspects of Geometric Variational Problems. 92g:00031 
Wright-Patterson Air Force Base, OH * Geometric aspects of industrial design. 92m:00043 
— * Theoretical aspects of industrial design. 92m:00060 


Items with secondary classifications in 00B25 


(Abramsky, Samson) see Category theory and computer science, 92g:68005 

(Andima, Susan J.) see General topology and applications, 92h:54001 

(Aoki, Nobuo) see Study of dynamical systems, 92b:58005 

(Arcilla, A.S.) see Numerical grid generation in computational fluid dynamics and related 
fields, 92b:65008 

(Arimitsu, Toshihico) see Thermal field theories, 92m:81007 

(Bag, A. K.) see History of oriental astronomy, 92m:01003 

(Barlow, Martin T.) see Stochastic analysis, 92m:60005 

(Bates, Peter W.) see Current directions in nonlinear partial differential equations, 92b:35005 

(Benoit, E.) see Dynamic bifurcations, 92m:58034 

(Biedenharn, L.C.) see Symmetries in science, 92g:81004 

(Bierstedt, Klaus-D.) see Progress in functional analysis, 92i:46002 

(Bingham, N. H.) see Stochastic analysis, 92m:60005 

(Blok, H.) see Huygens’ principle 1690-1990: theory and applications, 92m:78001 

(Bonet, José) see Progress in functional analysis, 92i:46002 

(Brandl, Johannes) see Wittg: i ds a re-evaluation, 92a:00026a; 92a:00026b and 
92a:00026c 

(Busenberg, Stavros N.) see Delay differential equations and dynamical systems, 92f:34057 

(Campbell, David K.) see Chaos/Xaoc, 92c:58001 

(Capasso, V.) see Mathematical methods for industrial problems 

(Capobianco, Michael F.) see Graph theory and its applications: East and West, 92b:05001 

(Carbone, Antonio) see Approximation theory, spline functions and applications, 92m:41004 

(Carlson, David H.) see Directions in matrix theory, 92h:15001 

(Caselli, R.) see Mathematical methods for industrial problems 

(Charron, R. J.) see Approximation theory, spline functions and applications, 92m:41004 

(Clément, Philippe P.) see Semigroup theory and evolution equations, 92m:47001 

(Coen, Salvatore) see Geometry and complex variables, 92i:32002 

(Cohen, Gary) see Mathematical and numerical aspects of wave propagation phenomena, 
92a:65021 

(Cooke, Kenneth L.) see Delay differential equations and dynamical systems, 92f:34057 

(Cordero, Patricio) see Nonlinear phenomena in fluids, solids and other complex systems, 
92m:82005 

(Curien, Pierre-Louis) see Category theory and computer science, 92g:68005 

(Dal Maso, Gianni) see Composite media and homogenization theory, 92h:73002 

(De Kee, D.) see Recent developments in structured continua, 92d:76003 

(Dell’Antonio, Gianfausto) see Composite media and homogenization theory, 92h:73002 

(Dennis, R. Keith) see Algebraic K-theory, commutative algebra, and algebraic geometry, 
92m:19001 

(Dewar, R. L.) see Nonlinear dynamics and chaos, 92k:58003 

(Diez, A.) see Structures in mathematical theories, 92c:00010 

(Doebner, H.-D.) see Symmetries in science, 92g:81004 

(Donato, Paul) see Symplectic geometry and mathematical physics, 92k:58004 

(Doncel, Manuel G.) see Symmetries in physics, 92b:01004 

(Doolen, Gary D.) see Lattice gas methods: theory, applications, and hardware, 92f:82066 

(Duval, Christian) see Symplectic geometry and mathematical physics, 92k:58004 

(Echeverria, J.) see Structures in mathematical theories, 92c:00010 

(Eiseman, Peter R.) see Numerical grid generation in computational fluid dynamics and 
related fields, 92b:65008 

(Elhadad, J.) see Symplectic geometry and mathematical physics, 92k:58004 

(Ezawa, Hiroshi) see Thermal field theories, 92m:81007 

(Fan, Ky) see Directions in matrix theory, 92h:15001 

(Ferwerda, Hedzer A.) see Huygens’ principle 1690-1990: theory and applications, 
92m:78001 

(Fife, Paul C.) see Current directions in nonlinear partial differential equations, 92b:35005 

(Flournoy, Nancy) see Statistical multiple integration, 92b:62004 

(Fronzoni, Leone) see Dynamical symmetries and chaotic behaviour in physical systems, 
92¢:58025 

(Fusco, D.) see Nonlinear waves and dissipative effects, 92k:35002 

(Gielerak, Roman) see Stochastic methods in mathematics and physics, 92c:81005 

(Gindikin, S.G.) see Theory of operators in function spaces, 92f:58004 

(Glowinski, Roland) see Symposium: Domain Decomposition Methods for Partial Differen- 
tial Equations, 92a:65023 

(Golub, Gene Howard) see Numerical linear algebra, digital signal processing and parallel 
algorithms, 92i:65226 

(Gruber, Bruno) see Symmetries in science, 92g:81004 

(Guan, Mei Gu) see Graph theory and its applications: East and West, 92b:05001 





00B Conference proceedings and collections of papers 


00B25 





(Haller, Rudolf) see Wittg 
92a:00026c 

(Halpern, Laurence) see Mathematical and numerical aspects of wave propagation phenom- 
ena, 92a:65021 

(Hashimoto, Yukio) see Thermal field theories, 92m:81007 

(Hauser, Jochem) see Numerical grid generation in computational fluid dynamics and related 
fields, 92b:65008 

(Hayat-Legrand, Claude) see Computing in algebraic geometry and topology, 92b:68004 

(Heilié, Matti) see Proceedings: Conference on Mathematics in Industry, 92i:93006 

(Henry, B. 1.) see Nonlinear dynamics and chaos, 92k:58003 

(Hermann, Armin) see Symmetries in physics, 92b:01004 

(Horvath, John) see Progress in functional analysis, 92i:46002 

(Hsu, D. Frank) see Graph theory and its applications: East and West, 92b:05001 

(Hudzik, Henryk) see Function spaces, 92m:46004 

(Huygens, Christiaan) see Huygens’ principle 1690-1990: theory and applications, 
92m:78001 

(Ibarra, Andoni) see Structures in mathematical theories, 92c:00010 

(Jacob, Gérard) see Algebraic computing in control, 92i:93004 

(Jarosz, Krzysztof) see Function spaces, 92i:46001 

(Jeffrey, A.) see Nonlinear waves and dissipative effects, 92k:35002 

(Joly, Patrick) see Mathematical and numerical aspects of wave propagation phenomena, 
92a:65021 

(Kaloni, P. N.) see Recent developments in structured continua, 92d:76003 

(Karwowski, Witold) see Stochastic methods in mathematics and physics, 92c:81005 

(Kerber, Adalbert) see Seminar: Combinatorics, 92d:05006 

(Konig, Gert) see Concepts of the mathematically infinite in the 19th century, 92d:01023 

(Kopperman, Ralph) see General topology and applications, 92h:54001 

(Kuiken, H. K.) see Huygens’ principle 1690-1990: theory and applications, 92m:78001 

(Kuznetsov, Yurii Alekseevich) see Symposium: Domain Decomposition Methods for Partial 
Differential Equations, 92a:65023 

(Lamnabhi-Lagarrigue, Francoise) see Algebraic computing in control, 92i:93004 

(Langlands, Robert P.) see Zeta functions of Picard modular surfaces, 92m:14001 

(Lazarov, Raicho D.) see Integral equations and inverse problems, 92b:35006 

(Li, Da Qian) see Qualitative aspects and applications of nonlinear evolution equations, 
92m:35004 

(Maestre, Manuel) see Progress in functional analysis, 92i:46002 

(Maino, Giuseppe) see Dynamical symmetries and chaotic behaviour in physical systems, 
92¢:58025 

(Maksa, Gyula) see Symposium: Functional Equations and Inequalities, 92a:39008 

(Martelli, Mario) see Delay differential equations and dynamical systems, 92f:34057 

(Meurant, Gérard) see Symposium: Domain Decomposition Methods for Partial Differential 
Equations, 92a:65023 

(Michel, Louis) see Symmetries in physics, 92b:01004 

(Misra, Prabudh Ram) see General topology and applications, 92h:54001 

(Mitidieri, Enzo) see Semigroup theory and evolution equations, 92m:47001 

(Morrow, Gregory J.) see Probability models in mathematical physics, 92c:81004 

(de Mottoni, Piero) see Qualitative aspects and applications of nonlinear evolution equations, 
92m:35004 

(Musielak, Julian) see Function spaces, 92m:46004 

(Nachtergaele, Bruno) see Nonlinear phenomena in fluids, solids and other complex systems, 
92m:82005 

(Nikol’skii, S.M.) see Theory of functions and approximations, 92a:00032 

(Noguchi, Junjiro) see Prospects in complex geometry, 92c:32001 

(Ohsawa, Takeo) see Prospects in complex geometry, 92c:32001 

(Padua, David A.) see Proceedings: Conference on Parallel Processing, 924:68018 

(de Pagter, Ben) see Semigroup theory and evolution equations, 92m:47001 

(Pais, Abraham) see Symmetries in physics, 92b:01004 

(Pedrini, Claudio) see Algebraic K-theory, commutative algebra, and algebraic geometry, 
92m:19001 

(Périaux, Jacques) see Symposium: Domain Decomposition Methods for Partial Differential 
Equations, 92a:65023 

(Petkov, Vesselin M.) see Integral equations and inverse problems, 92b:35006 

(Pettini, Marco) see Dynamical symmetries and chaotic behaviour in physical systems, 
92c:58025 

(Pitt, D. H.) see Category theory and computer science, 92g:68005 

(Pitts, Andrew M.) see Category theory and computer science, 92g:68005 

(Poigné, Axel) see Category theory and computer science, 92g:68005 

(Ramakrishnan, Dinakar) see Zeta functions of Picard modular surfaces, 92m:14001 

(Reichman, Jack Z.) see General topology and applications, 92h:54001 

(Rydeheard, David E.) see Category theory and computer science, 92g:68005 

(Saint-Aubin, Yvan) see Colloquium: Group Theoretical Methods in Physics, 92f:81008 

(Samarskii, A. A.) see Mathematical modelling and applied mathematics, 92i:65009 

(Sapagovas, Mifodijus) see Mathematical modelling and applied mathematics, 92i:65009 

(Sergeraert, Francis) see Computing in algebraic geometry and topology, 92b:68004 

(Shiraiwa, K.) see Dynamical systems and related topics, 92m:58003 

(Shukla, Kripa Shankar) see History of oriental astronomy, 92m:01003 

(Singer, Michael F.) see Differential equations and computer algebra, 92a:34004 

(Singh, Sankatha Prasad) see Approximation theory, spline functions and applications, 
92m:41004 

(Souriau, Jean-Marie) see Symplectic geometry and mathematical physics, 92k:58004 

(Stein, Daniel L.) see Lectures in the sciences of complexity, 924:00004 

(Stein, Michael R.) see Algebraic K-theory, commutative algebra, and algebraic geometry, 
92m:19001 

(Swarup, G.) see History of oriental astronomy, 92m:01003 

(Thompson, J. F.) see Numerical grid generation in computational fluid dynamics and related 
fields, 92b:65008 

(Tian, Feng) see Graph theory and its applications: East and West, 92b:05001 

(Tikhomirov, V.M.) see Congress: Mathematicians, 92j:00033 

(Todd, Aaron R.) see General topology and applications, 92h:54001 

(Tsutakawa, Robert K.) see Statistical multiple integration, 92b:62004 


ds a re-evaluation, 92a:00026a; 922:00026b and 








00B25 


(Turchetti, Giorgio) see Nonlinear dynamics, 92b:58003 

(Tuynman, G. M.) see Symplectic geometry and mathematical physics, 92k:58004 

(Uhlig, Frank) see Directions in matrix theory, 92h:15001 

(Urbatiski, Ryszard) see Function spaces, 92m:46004 

(Valdivia, Manuel) see Progress in functional analysis, 92i:46002 

(Van Dooren, Paul M.) see Numerical linear algebra, digital signal processing and parallel 
algorithms, 92i:65226 

(Vinet, Luc) see Colloquium: Group Theoretical Methods in Physics, 92f:81008 

(Wah, Benjamin W.) see Proceedings: Conference on Parallel Processing, 92d:68017 

(Watson, Bruce B.) see Approximation theory, spline functions and applications, 92m:41004 

(Whiteman, J. R.) see Mathematics of finite elements and applications, 924:65007 

(Widlund, Olof B.) see Symposium: Domain Decomposition Methods for Partial Differential 
Equations, 922:65023 

(Wittgenstein, Ludwig) see Wittg: 
and 92a:00026c 

(Wa, Theodore Yao-tsu) see Engineering science, fluid dynamics, 92m:76004 

(Yamamoto, Tetsuro) see Advances in computational mathematics, 92m:65003 

(Yang, Wei-Shih) see Probability models in mathematical physics, 92c:81004 

(Yates, George T.) see Engineering science, fluid dynamics, 92m:76004 

(Yew, Pen-Chung) see Proceedings: Conference on Parallel Processing, 92d:68019 





ds a re-evaluation, 92a:00026a; 92a:00026b 


Items listed otherwise than by author 


Advances in computational mathematics * Advances in computational mathematics. 
92m:65003 
Affine differential geometry * Affine differential geometry. 92i:53002 
Aix-en-Provence * Symplectic geometry and mathematical physics. 92k:58004 
computing in control * Algebraic computing in control. 92i:93004 
Algebraic K-theory, commutative algebra, and algebraic geometry * Algebraic K-theory, 
commutative algebra, and algebraic geometry. 92m:19001 
Algiers * Histoire des mathématiques arabes. (French) [History of Arab mathematics] 
92b:01002 
Algorithmique, topologie et géométrie algébriques * Algorithmique, topologie et géométrie 
algébriques. [Computing in algebraic geometr, and topology] 92b:68004 
All-Union School: 
Theory of Operators in Function Spaces * Teopua onepaTopos B dyHKIHOHAJIbHBIX 
mpoctpaxcTsax. (Russian) [Theory of operators in function spaces] 92f:58004 
Anniversary: 
Birth of Wittgenstein, Ludwig * Wittg: 
— * Wittg i ds a re-evaluation. II. 92a:00026b 
— * Wittg i ds a re-evaluation. III. 92a:00026c 
Approximation theory, spline functions and applications * Approximation theory, spline 
functions and applications. 92m:41004 
Arcata, CA * Statistical multiple integration. 92b:62004 
Auburn, AL * Directions in matrix theory. 92h:15001 
Barcelona * Numerical grid generation in computational fluid dynamics and related fields. 
92b:65008 
Bari * Mathematical methods for industrial problems. 
Berkeley, CA * MexzyHaponuit Kourpecc Matematukos B Bepxau, 1986. (Russian) 
{International Congress of Mathematicians in Berkeley, 1986] 92j:00033 
Birthday: 
Cooke, Kenneth * Delay differential equations and dynamical systems. 92f:34057 
Valdivia, Manuel * Progress in functional analysis. 92i:46002 
Bologna * Nonlinear dynamics. 92b:58003 
— * Dynamical symmetries and chaotic behaviour in physical systems. 92¢:58025 
— * Geometry and complex variables. 92i:32002 
Boulder, CO * Proceedings of the U.S.-Western Europe Regional Conference on Padé 
Approximants and Related Topics. 92b:41001 
Canberra * Nonlinear dynamics and chaos. 92k:58003 
Category theory and computer science * Category theory and computer science. 92g:68005 
Chaos/ Khaos * Chaos/Xaoc. 92c:58001 
Claremont, CA * Delay differential equations and dynamical systems. 92f:34057 
Colloquium: 
Computing in Algebraic Geometry and Topology * Algorithmique, topologie et géométrie 
algébriques. [Computing in algebraic geometry and topology] 92b:68004 
Group Theoretical Methods in Physics * XVIIth International Colloquium on Group 
Theoretical Methods in Physics. 92f:81008 
History of Arab Mathematics * Histoire des mathématiques arabes. (French) [History of 
Arab mathematics] 92b:01002 
History of Oriental Astronomy * History of oriental astronomy. 92m:01003 
Nonlinear Waves and Dissipative Effects * Nonlinear waves and dissipative effects. 
92k:35002 
Symplectic Geometry and Mathematical Physics * Symplectic geometry and mathemati- 
cal physics. 92k:58004 
Colorado Springs, CO * Probability models in mathematical physics. 92¢:81004 
Composite media and homogenization theory * Composite media and homogenization 
theory. 92h:73002 
Computing in algebraic geometry and topology * Algorithmique, topologie et géométrie 
algébriques. [Computing in algebraic geometry and topology] 92b:68004 
Concepts of the mathematically infinite in the 19th century * Konzepte des mathematisch 
Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 
the 19th century] 92d:01023 
Conference: 
Affine Differential Geometry * Affine differential geometry. 92i:53002 
Algebraic Computing in Control * Algebraic computing in control. 92i:93004 
Category Theory and Computer Science * Category theory and computer science. 
92g:68005 
Chaos * Chaos/Xaoc. 92c:58001 
Differential Equations and Applications to Biology and Population Dynamics * Delay 
differential equations and dynamical systems. 92f:34057 
Dynamic Bifurcations * Dynamic bifurcations. 92m:58034 





»wards a re-evaluation. I. 92a:00026a 








GENERAL 


Conference: (cont'd. ) 

Dynamical Systems and Related Topics * Dynamical systems and related topics. 
92m:58003 

Function Spaces * Function spaces. 92m:46004 

— * Function spaces. 92i:46001 

General Topology and Applications * General topology and applications. 92h:54001 

Graph Theory and its Applications * Graph theory and its applications: East and West. 
92b:05001 

Integral Equations and Inverse Problems * Integral equations and inverse problems. 
92b:35006 

Linear Algebra * Directions in matrix theory. 92h:15001 

Mathematical and Numerical Aspects of Wave Propagation Phenomena * Mathematical 
and numerical aspects of wave propagation phenomena. 92a:65021 

Mathematical Mode!ling and Applied Mathematics * Mathematical modelling and 
applied mathematics. 92i:65009 

Mathematics in Industry * Proceedings of the Fifth European Conference on Mathemat- 
ics in Industry. 92i:93006 

Mathematics of Finite Elements and Applications * The mathematics of finite elements 
and applications. VII. 924:65007 

Nonlinear Dynamics * Nonlinear dynamics. 92b:58003 

Nonlinear Partial Differential Equations * Current directions in nonlinear partial 
differential equations. 92b:35005 

Numerical Grid Generation in Computational Fluid Dynamics and Related Fields 
¥* Numerical grid generation in computational fluid dynamics and related fields. 
92b:65008 

Padé Approximants and Related Topics * Proceedings of the U.S.-Western Europe 
Regional Conference on Padé Approximants and Related Topics. 92b:41001 

Parallel Processing * Proceedings of the 1990 International Conference on Parallel 
Processing. Vol. I. 92d:68017 

— * Proceedings of the 1990 International Conference on Parallel Processing. Vol. II. 
92d:68018 

— * Proceedings of the 1990 International Conference on Parallel Processing. Vol. III. 
924:68019 

Partial Differential Equations * Journées “Equations aux Dérivées Partielles”. [Proceed- 
ings of the Conference on Partial Differential Equations] 92d:35009 

Probability Models in Mathematical Physics * Probability models in mathematical 
physics. 92c:81004 

Prospects in Complex G: try * P in complex geometry. 92¢:32001 

Recent Developments in Structured Continua * Recent developments in structured 
continua. Vol. II. 924:76003 

Semigroup Theory and Evolution Equations * Semigroup theory and evolution equations. 
92m:47001 

Some Topics in Nonlinear PDEs * Some topics in nonlinear PDEs. 92k:35004 

Statistical Multiple Integration * Statistical multiple integration. 92b:62004 

Study of Dynamical Systems * The study of dynamical systems. 92b:58005 

Congress: 
Mathematicians * MexayHapogubit Kourpecc Matematukos B bepxan, 1986. (Russian) 
[International Congress of Mathematicians in Berkeley, 1986] 92j:00033 

Contemporary Mathematics * Statistical multiple integration. 92b:62004 

— * Algebraic K-theory, commutative algebra, and algebraic geometry. 92m:19001 

Current directions in nonlinear partial differential equations * Current directions in 
nonlinear partial differential equations. 92b:35005 

Delay differential equations and dynamical systems * Delay differential equations and 
dynamical systems. 92f:34057 

Delft * Semigroup theory and evolution equations. 92m:47001 

Differential equations and computer algebra * Differential equations and computer algebra. 
92a:34004 

Directions in matrix theory * Directions in matrix theory. 92h:15001 

Durham * Stochastic analysis. 92m:60005 

Dynamic bifurcations * Dynamic bifurcations. 92m:58034 

Dynamical symmetries and chaotic behaviour in physical systems * Dynamical symmetries 
and chaotic behaviour in physical systems. 92c:58025 

Dynamical systems and related topics * Dynamical systems and related topics. 92m:58003 

Edwardsville, IL * Function spaces. 92i:46001 

Engineering science, fluid dynamics * Engineering science, fluid dynamics. 92m:76004 

Errata: 

Current directions in nonlinear partial differential equations Errata: Current directions in 
nonlinear partial differential equations [Rocky Mountain J. Math. 21 (1991), no. 2; MR 
92b:35005]. 92j:00031 

Function spaces * Function spaces. 92m:46004 

— * Function spaces. 92i:46001 

General topology and applications * General topology and applications. 92h:54001 

Geometry and complex variables * Geometry and complex variables. 92i:32002 

Graph theory and its applications: East and West * Graph theory and its applications: East 
and West. 92b:05001 

Graz The Twenty-eighth International Symposium on Functional Equations, August 23- 
September 1, 1990, Graz-Maria Trost, Austria. 92¢:39011 

Histoire des mathématiques arabes * Histoire des mathématiques arabes. (French) [History 
of Arab mathematics] 92b:01002 

History of Arab mathematics * Histoire des mathématiques arabes. (French) [History of 
Arab mathematics] 92b:01002 

History of oriental astronomy * History of oriental astronomy. 92m:01003 

Huygens’ principle 1690-1990: theory and applications * Huygens’ principle 1690-1990: 
theory and applications. 92m:78001 

Ibaraki * Thermal field theories. 92m:81007 

Integral equations and inverse problems * Integral equations and inverse problems. 
92b:35006 

Jinan * Graph theory and its applications: East and West. 92b:05001 

Karpacz * Stochastic methods in mathematics and physics. 92c:81005 

Katata * Prospects in complex geometry. 92¢:32001 








21 1992 





Kirchberg am Wechsel * Wittg in—towards a re-evaluation. I. 92a:00026a 
Wi i ds a re-e ion. II. 92a:00026b 
ittgi are-e ion. III. 92a:00026c 
Konzepte des mathematisch Unendlichen im 19. Jahrhundert * Konzepte des mathematisch 
Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 
the 19th century] 92d:01023 
Kuybyshevy * Teopua onepatopos B byHKI\HOHAaJIbHBIX NpoctpaHcTsBax. (Russian) [Theory of 
operators in function spaces] 92f:58004 
Kyoto * The study of dynamical systems. 92b:58005 
— * Prospects in complex geometry. 92c:32001 
Lahti * Proceedings of the Fifth European Conference on Mathematics in Industry. 
92i:93006 
Lattice gas methods: theory, applications, and hardware * Lattice gas methods: theory, 
applications, and hardware. 92f:82066 
Lecture Notes in Computer Science * Category theory and computer science. 92g:68005 
Lecture Notes in Control and Information Sciences * Algebraic computing in control. 
92i:93004 
Lecture Notes in Mathematics * Prospects in complex geometry. 92¢:32001 
— * Delay differential equations and dynamical systems. 92f:34057 
— * Dynamic bifurcations. 92m:58034 
Lectures in the sciences of complexity * Lectures in the sciences of complexity. 92d:00004 
Leuven * Numerical linear algebra, digital signal processing and parallel algorithms. 
92i:65226 
Lochau * Symmetries in science. V. 92g:81004 
Los Alamos, NM * Lattice gas methods: theory, applications, and hardware. 92f:82066 
Luminy * Dynamic bifurcations. 92m:58034 
Maratea * Approximation theory, spline functions and applications. 92m:41004 
Maria Trost The Twenty-eighth International Symposium on Functional Equations, August 
23-September 1, 1990, Graz-Maria Trost, Austria. 92c:39011 
Mathematical and numerical aspects of wave propagation phenomena * Mathematical and 
numerical aspects of wave propagation phenomena. 92a:65021 
Mathematical methods for industrial problems * Mathematical methods for industrial 
problems. 
Mathematical modelling and applied mathematics * Mathematical modelling and applied 
mathematics. 92i:65009 
Mathematics of finite elements and applications * The mathematics of finite elements and 
applications. VII. 924:65007 
Matsuyama * Advances in computational mathematics. 92m:65003 
Meeting: 
Functional Analysis * Progress in functional analysis. 92i:46002 
Geometry and Complex Variables * Geometry and complex variables. 92i:32002 
History of Scientific Ideas * Symmetries in physics (1600-1980). 92b:01004 
Moscow * Fourth International Symposium on Domain Decomposition Methods for 
Partial Differential Equations. 92a:65023 
— * Mathematical modelling and applied mathematics. 92i:65009 
Nagoya * Dynamical systems and related topics. 92m:58003 
NATO Advanced Research Workshop: 
Lattice Gas Methods for Partial Differential Equations: Theory, Applications, and 
Hardware * Lattice gas methods: theory, applications, and hardware. 92f:82066 
NATO Advanced Study Institute: 
Approximation Theory, Spline Functions and Applications * Approximation theory, 
spline functions and applications. 92m:41004 
Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms 
¥* Numerical linear algebra, digital signal processing and parallel algorithms. 92i:65226 
New Delhi * History of oriental astronomy. 92m:01003 
Nonlinear dynamics * Nonlinear dynamics. 92b:58003 
Nonlinear dynamics and chaos * Nonlinear dynamics and chaos. 92k:58003 
Nonlinear phenomena in fluids, solids and other complex systems * Nonlinear phenomena in 
fluids, solids and other complex systems. 92m:82005 
Nonlinear waves and dissipative effects * Nonlinear waves and dissipative effects. 
92k:35002 
Noszvaj Report on the Third International Symposium on Functional Equations and 
Inequalities. 92a:39008 
Numerical grid generation in computational fluid dynamics and related fields * Numerical 
grid generation in computational fluid dynamics and related fields. 92b:65008 
Numerical linear algebra, digital signal processing and parallel algorithms * Numerical 
linear algebra, digital signal processing and parallel algorithms. 92i:65226 
Oberfranken * Séminaire Lotharingien de Combinatoire. (German) [Lorraine Seminar on 
Combinatorics] 924:05006 
Oberwolfach * Affine differential geometry. 92i:53002 
Paris * Category theory and computer science. 92g:68005 
— * Algebraic computing in control. 92i:93004 
Pasadena, CA * Engineering science, fluid dynamics. 92m:76004 
Peiiiscola *& Progress in functional analysis. 92i:46002 
Poznan * Function spaces. 92m:46004 
Probability models in mathematical physics * Probability models in mathematical physics. 
92¢:81004 





A 





Conference on Mathematics in Industry * Proceedings of the Fifth European Conference 
on Mathematics in Industry. 92i:93006 

Conference on Padé Approximants and Related Topics * Proceedings of the U.S.-Western 
Europe Regional Conference on Padé Approximants and Related Topics. 92b:41001 

Conference on Parallel Processing * Proceedings of the 1990 International Conference 
on Parallel Processing. Vol. I. 92d:68017 

— * Proceedings of the 1990 International Conference on Parallel Processing. Vol. II. 
924:68018 

— * Proceedings of the 1990 International Conference on Parallel Processing. Vol. III. 
92d:68019 

Conference on Partial Differential Equations * Journées “Equations aux Dérivées 
Partielles”. [Proceedings of the Conference on Partial Differential Equations] 


00B Conference proceedings and collections of papers 


Proceedings: (cont'd. ) 
92d:35009 
Progress in functional analysis * Progress in functional analysis. 92i:46002 
Progress in Mathematics * Symplectic geometry and mathematical physics. 92k:58004 
Prospects in complex geometry * Prospects in complex geometry. 92c:32001 
Provo, UT * Current directions in nonlinear partial differential equations. 92b:35005 
Qualitative aspects and applications of nonlinear evolution equations * Qualitative aspects 
and applications of nonlinear evolution equations. 92m:35004 
Recent developments in structured continua * Recent developments in structured continua. 
Vol. II. 92d:76003 
Reggio di Calabria * Nonlinear waves and dissipative effects. 92k:35002 
Saint Jean de Monts * Journées “Equations aux Dérivées Partielles”. [Proceedings of the 
Conference on Partial Differential Equations] 924:35009 
Sainte-Adéle, PQ * XVIIth International Colloquium on Group Theoretical Methods in 
Physics. 92f:81008 
San Feliu de Guixols * Symmetries in physics (1600-1980). 92b:01004 
San Sebastian * Structures in mathematical theories. 92c:00010 
Santa Fe, NM * Lectures in the sciences of complexity. 92d:00004 
Santa Margherita Ligure * Algebraic K-theory, commutative algebra, and algebraic 
geometry. 92m:19001 
Santiago * Nonlinear phenomena in fluids, solids and other complex systems. 92m:82005 
Saratov * Teopua byHkuui 4 npHOnuxenni. Uacts 3. (Russian) [Theory of functions and 
approximations. Part 3] 92a:00032 
Scheveningen * Huygens’ principle 1690-1990: theory and applications. 92m:78001 
School: 
Complex Systems * Lectures in the sciences of complexity. 92d:00004 
Nonlinear Dynamics and Chaos * Nonlinear dynamics and chaos. 92k:58003 
Qualitative Aspects and Applications of Nonlinear Evolution Equations * Qualitative 
aspects and applications of nonlinear evolution equations. 92m:35004 
Theoretical Physics * Stochastic methods in mathematics and physics. 92¢:81005 
Theory of Functions and Approximations * Teopus @yxxuuit u npHOnuxenah. Yacts 3. 
(Russian) [Theory of functions and approximations. Part 3] 92a:00032 
Semigroup theory and evolution equations * Semigroup theory and evolution equations. 
92m:47001 
Seminar: 
Algebraic K-Theory, Commutative Algebra, and Algebraic Geometry * Algebraic K- 
theory, commutative algebra, and algebraic geometry. 92m:19001 
Combinatorics * Séminaire Lotharingien de Combinatoire. (German) [Lorraine Seminar 
on Combinatorics] 92d:05006 
Seville * Algorithmique, topologie et géométrie algébriques. [Computing in algebraic 
geometry and topology] 92b:68004 
Sherbrooke, PQ * Recent developments in structured continua. Vol. II. 92d:76003 
Some topics in nonlinear PDEs * Some topics in nonlinear PDEs. 92k:35004 
Staten Island, NY * General topology and applications. 92h:54001 
Statistical multiple integration * Statistical multiple integration. 92b:62004 
Stochastic analysis * Stochastic analysis. 92m:60005 
Stochastic methods in mathematics and physics * Stochastic methods in mathematics and 
physics. 92¢:81005 
Strasbourg * Mathematical and numerical aspects of wave propagation phenomena. 
92a:65021 
Structures in mathematical theories * Structures in mathematical theories. 92c:00010 
Study of dynamical systems * The study of dynamical systems. 92b:58005 
Symmetries in physics * Symmetries in physics (1600-1980). 92b:01004 
Symmetries in science * Symmetries in science. V. 92g:81004 
Symplectic geometry and mathematical physics * Symplectic geometry and mathematical 
physics. 92k:58004 
Symposium: 
Computational Mathematics * Advances in computational mathematics. 92m:65003 
Domain Decomposition Methods for Partial Differential Equations * Fourth International 
Symposium on Domain Decomposition Methods for Partial Differential Equations. 
92a:65023 
Fluid Dynamics * Engineering science, fluid dynamics. 92m:76004 
Functional Equations The Twenty-eighth International Symposium on Functional 
Equations, August 23-September 1, 1990, Graz-Maria Trost, Austria. 92¢:39011 
Functional Equations and Inequalities Report on the Third International Symposium on 
Functional Equations and Inequalities. 92a:39008 
Huygens’ Principle 1690-1990: Theory and Applications * Huygens’ principle 1690- 
1990: theory and applications. 92m:78001 
Prospects in Complex Geometry * Prospects in complex geometry. 92c:32001 
Stochastic Analysis * Stochastic analysis. 92m:60005 
Structures in Mathematical Theories * Structures in mathematical theories. 92c:00010 
Symmetries in Science: Algebraic Systems, their Representations, Realizations and 
Physical Applications * Symmetries in science. V. 92g:81004 
Wittgenstein * Wittg: in—t ds a re-evaluation. I. 92a:00026a 
— & Wittg i ds a re-evaluation. II. 92a:00026b 
— * Wittg ds a re-evaluation. III. 92a:00026c 
The Hague * Huygens’ principle 1690-1990: theory and applications. 92m:78001 
Theory of functions and approximations * Teopua byHkusit « npuOnuxennh. Uacts 3. 
(Russian) [Theory of functions and approximations. Part 3] 92a:00032 
Theory of operators in function spaces * Teopua onepaTopos B @yHKIMOHAIbHbIX 
mpoctpaxcTsax. (Russian) [Theory of operators in function spaces] 92f:58004 
Thermal field theories * Thermal field theories. 92m:81007 
Toulouse * Algorithmique, topologie et géométrie algébriques. [Computing in algebraic 
geometry and topology] 92b:68004 
Trieste * Composite media and homogenization theory. 92h:73002 
— * Qualitative aspects and applications of nonlinear evolution equations. 92m:35004 
Turin * Some topics in nonlinear PDEs. 92k:35004 
University Park, PA * Proceedings of the 1990 International Conference on Parallel 
Processing. Vol. I. 924:68017 

















00B25 


— * Proceedings of the 1990 International Conference on Parallel Processing. Vol. II. 
92d:68018 
— * Proceedings of the 1990 International Conference on Parallel Processing. Vol. III. 
92d:68019 
Uxbridge * The mathematics of finite elements and applications. VII. 924:65007 
Varna * Integral equations and inverse problems. 92b:35006 
Wittg i ds a re-evaluation *x Wittgenstein—towards a re-evaluation. I. 
92a:00026a 
— * Wittg i ds a re-evaluation. II. 92a:00026b 
— * Wittgenstein—towards a re-evaluation. III. 92a:00026c 
Woods Hole, MA * Chaos/Xaoc. 92c¢:58001 
Workshop: 
Composite Media and Homogenization Theory * Composite media and homogenization 
theory. 92h:73002 
Mathematical Methods for Industrial Problems * Mathematical methods for industrial 
problems. 
Mathematical Physics and Nonlinear Dynamics * Dynamical symmetries and chaotic 
behaviour in physical systems. 92c:58025 
Nonlinear Phenomena * Nonlinear phenomena in fluids, solids and other complex 
systems. 92m:82005 
Thermal Field Theories and their Applications * Thermal field theories. 92m:81007 
Zeta functions of Picard modular surfaces * The zeta functions of Picard modular surfaces. 
92m:14001 








00B30 Festschriften 


(Baker, Alan) see Tribute to Paul Erdés, 92b:00053 

(Bollobas, Béla) see Tribute to Paul Erdés, 92b:00053 

(Carathéodory, Constantin) see Constantin Carathéodory: an international tribute, 92d:00037 

(Carini, Giovanni) see Memoirs of mathematical physics in honor of Giovanni Carini on his 
70th birthday 

(Cartier, Pierre) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Erdés, Paul) see Tribute to Paul Erdés, 92b:00053 

(Gauss, Carl Friedrich) see Mathematical heritage of C. F. Gauss, 92i:00029 

(Gelfand, I. M.) see Geometry and physics, 92k:00025 

(Gindikin, S.G.) see Geometry and physics, 92k:00025 

{Gotze, Heinz) see Miscellanea mathematica, 92d:00038 

(Gritzmann, Peter) see Applied geometry and discrete mathematics, 92b:00050 

(Hajnal, Andras) see Tribute to Paul Erdés, 92b:00053 

(Hilton, Peter J.) see Miscellanea mathematica, 924:00038 

(Hirzebruch, Friedrich) see Miscellanea mathematica, 924:00038 

(Illusie, Luc) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Kasahara, Koji) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 

(Katz, Nicholas M.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Klee, Victor) see Applied geometry and discrete mathematics, 92b:00050 

(Laumon, G.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Manin, Yu. I.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Mizohata, Sigeru) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 

(Ohya, Yujiro) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 

(Rassias, George M.) see Mathematical heritage of C. F. Gauss, 92i1:00029 

(Rassias, Themistocles M.) see Constantin Carathéodory: an international tribute, 92d:00037 

(Remmert, Reinhold) see Miscellanea mathematica, 92d:00038 

(Ribet, Kenneth A.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Shimakura, N.) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 

(Singer, I. M.) see Geometry and physics, 92k:00025 

(Sturmfels, Bernd) see Applied geometry and discrete mathematics, 92b:00050 


Items listed otherwise than by author 

Applied geometry and discrete mathematics * Applied geometry and discrete mathematics. 
92b:00050 

Birthday: 

Carini, Giovanni * Memorie di fisica matematica in omaggio a Giovanni Carini nel suo 
70° compleanno. [Memoirs of mathematical physics in honor of Giovanni Carini on 
his 70th birthday] 

Erdés, Paul * A tribute to Paul Erdés. 92b:00053 

Grothendieck, Alexander * The Grothendieck Festschrift. Vol. II. 92b:00051 

— * The Grothendieck Festschrift. Vol. III. 92b:00052 

Klee, Victor L. * Applied geometry and discrete mathematics. 92b:00050 

Mizohata, Sigeru * Recent developments in mathematical analysis and partial diffe 


GENERAL 


Festschrift: (cont’d. ) 

Carathéodory, Constantin * Constantin Carathéodory: an international tribute. Vol. I, II. 
92d:00037 

Gitze, Heinz * Miscellanea mathematica. 924:00038 
Grothendieck, Alexander * The Grothendieck Festschrift. Vol. II. 92b:00051 
— * The Grothendieck Festschrift. Vol. III. 92b:00052 
Klee, Victor L. * Applied geometry and discrete mathematics. 92b:00050 

Geometry and physics * Geometry and physics. 92k:00025 

Hamburg * Mathematische Wissenschaften gestern und heute. 300 Jahre Mathematische 
Gesellschaft in Hamburg. Teil 3. (German) [Mathematical sciences yesterday and today. 
300 years of the Mathematical Society in Hamburg. Part 3] 92i:00031 

Mathematical heritage of C. F.Gauss * The mathematical heritage of C. F. Gauss. 
92i:00029 

Mathematical sciences yesterday and today. 300 years of the Mathematical Society in 
Hamburg * Mathematische Wissenschaften gestern und heute. 300 Jahre Mathematische 
Gesellschaft in Hamburg. Teil 2. (German) [Mathematical sciences yesterday and today. 
300 years of the Mathematical Society in Hamburg. Part 2] 92i:00030 

— * Mathematische Wissenschaften gestern und heute. 300 Jahre Mathematische 
Gesellschaft in Hamburg. Teil 3. (German) [Mathematical sciences yesterday and today. 
300 years of the Mathematical Society in Hamburg. Part 3] 92i:00031 

Mathematische Wissenschaften gestern und heute. 300 Jahre Mathematische Gesellschaft in 
Hamburg * Mathematische Wissenschaften gestern und heute. 300 Jahre Mathematische 
Gesellschaft in Hamburg. Teil 2. (German) [Mathematical sciences yesterday and today. 
300 years of the Mathematical Society in Hamburg. Part 2] 92i:00030 

— * Mathematische Wissenschaften gestern und heute. 300 Jahre Mathematische 
Gesellschaft in Hamburg. Teil 3. (German) [Mathematical sciences yesterday and today. 
300 years of the Mathematical Society in Hamburg. Part 3] 92i:00031 

Memoirs of mathematical physics in honor of Giovanni Carini on his 70th birthday 
* Memorie di fisica matematica in omaggio a Giovanni Carini nel suo 70° compleanno. 
[Memoirs of mathematical physics in honor of Giovanni Carini on his 70th birthday] 

Miscellanea mathematica * Miscellanea mathematica. 92d:00038 

Progress in Mathematics * The Grothendieck Festschrift. Vol. II. 92b:00051 

— * The Grothendieck Festschrift. Vol. III. 92b:00052 

Recent developments in mathematical analysis and partial differential equations * Recent 
developments in mathematical analysis and partial differential equations. Vol. I. 
92c:00018a 

— * Recent developments in mathematical analysis and partial differential equations. Vol. 
II. 92c:00018b 

Tribute to Paul Erdés * A tribute to Paul Erdés. 92b:00053 


tems with secondary classifications in 00B30 
(Bierstedt, Klaus-D.) see Progress in functionai analysis, 92i:46002 
(Bonet, José) see Progress in functional analysis, 92i:46002 
(Coen, Salvatore) see Geometry and complex variables, 92i:32002 
(Cox, David Roxbee) see Statistical theory and modelling, 92::62002 
(Dijkstra, Edsger W.) see Beauty is our business, 92i:68005 
(Donato, Paul) see Symplectic geometry and mathematical physics, 92k:58004 
(Duval, Christian) see Symplectic geometry and mathematical physics, 92k:58004 
(Elhadad, J.) see Symplectic geometry and mathematical physics, 92k:58004 
(Ewing, John H.) see Paul Halmos, 92m:01044 
(Feijen, W. H. J.) see Beauty is our business, 92i:68005 
(Fienberg, S. E.) see Statistical model, 92a:01079 
(van Gasteren, A. J. M.) see Beauty is our business, 92i:68005 
(Gehring, F. W.) see Paul Halmos, 92m:01044 
(Gliklikh, Yu. E.) see Nonlinear operators in global analysis, 92m:58004 
(Gries, David) see Beauty is our business, 92i:68005 
(Halmos, Paul R.) see Paul Halmos, 92m:01044 
(Hinkley, D. V.) see Statistical theory and modelling, 92i:62002 
(Hoaglin, D.C.) see Statistical model, 92a:01079 
(Horvath, John) see Progress in functional analysis, 92i:46002 
(Kruskal, W. H.) see Statistical model, 92a:01079 
(Lifschitz, Viadimir) see Artificial intelligence and mathematical theory of computation, 
92:68002 
(Maestre, Manuel) see Progress in functional analysis, 92i:46002 
(McCarthy, John) see Artificial intelligence and mathematical theory of computation, 
92f:68002 
(Misra, Jayadev) see Beauty is our business, 92i:68005 
(Mosteller, Frederick) see Statistical model, 92a:01079 
(Mukhopadhyay, Asutosh) see Proceedings: Seminar on Mathematics, 92f:00027 
(Reid, N.) see Statistical theory and modelling, 92i:62002 
(Snell, E. J.) see Statistical theory and modelling, 92i:62002 
(Souriau, Jean-Marie) see Symplectic geometry and mathematical physics, 92k:58004 
(Tanur, J. M.) see Statistical model, 92a:01079 





tial equations. Vol. II. 92c:00018b 
Conference: 

Mathematical Sciences Yesterday and Today. 300 Years of the Mathematical Society in 
Hamburg * Mathematische Wissenschaften gestern und heute. 300 Jahre Mathema- 
tische Gesellschaft in Hamburg. Teil 3. (German) [Mathematical sciences yesterday 
and today. 300 years of the Mathematical Society in Hamburg. Part 3] 92i:00031 

Constantin Carathéodory: an international tribute * Constantin Carathéodory: an interna- 
tional tribute. Vol. I, II. 92d:00037 
Festschrift: 

300 years of the Mathematical Society in Hamburg * Mathematische Wissenschaften 
gestern und heute. 300 Jahre Mathematische Gesellschaft in Hamburg. Teil 2. 
(German) [Mathematical sciences yesterday and today. 300 years of the Mathematical 
Society in Hamburg. Part 2] 92i:00030 

— * Mathematische Wissenschaften gestern und heute. 300 Jahre Mathematische 
Gesellschaft in Hamburg. Teil 3. (German) [Mathematical sciences yesterday and 
today. 300 years of the Mathematical Society in Hamburg. Part 3] 92i:00031 


(Tuynman, G. M.) see Symplectic geometry and mathematical physics, 92k:58004 
(Valdivia, Manuel) see Progress in functional analysis, 92i:46002 
(Youtz, Cleo) see Statistical model, 92a:01079 


Items listed otherwise than by author 


Aix-en-Provence * Symplectic geometry and mathematical physics. 92k:58004 
Artificial intelligence and mathematical theory of computation * Artificial intelligence and 
mathematical theory of computation. 92f:68002 
Beauty is our business * Beauty is our business. 92i:68005 
Bibliography: 
Cox, David Roxbee * Statistical theory and modelling. 92i:62002 
Mosteller, Frederick * A statistical model. 92a:01079 
Biography: 
Cox, David Roxbee * Statistical theory and modelling. 92i:62002 
Mosteller, Frederick * A statistical model. 92a:01079 
Birthday: 
Dijkstra, Edsger W. * Beauty is our business. 92i:68005 





23 1992 


Birthday: (cont'd. ) 
Halmos, Paul Richard * Paul Halmos. 92m:01044 
Valdivia, Manuel * Progress in functional analysis. 92i:46002 
Bologna * Geometry and complex variables. 92i:32002 
Boulder,CO * Proceedings of the U.S.-Western Europe Regional Conference on Padé 
Approximants and Related Topics. 92b:41001 
Calcutta * Proceedings of the National Seminar on Mathematics. 92f:00027 
Colloquium: 
Symplectic Geometry and Mathematical Physics * Symplectic geometry and mathemati- 
cal physics. 92k:58004 
Conference: 
Padé Approximants and Related Topics * Proceedings of the U.S.-Western Europe 
Regional Conference on Padé Approximants and Related Topics. 92b:41001 
Geometry and complex variables * Geometry and complex variables. 92i:32002 
Meeting: 
Functional Analysis * Progress in functional analysis. 92i:46002 
Geometry and Complex Variables * Geometry and complex variables. 92i:32002 
Nonlinear operators in global analysis * Henuuefnpie onepatopbi B rm06anbHOM aHasH3e. 
(Russian) [Nonlinear operators in global analysis] 92m:58004 
Paul Halmos * Paul Halmos. 92m:01044 
Peiiiscola * Progress in functional analysis. 92i:46002 


Conference on Padé Approximants and Related Topics * Proceedings of the U.S.-Western 
Europe Regional Conference on Padé Approximants and Related Topics. 92b:41001 
Seminar on Mathematics * Proceedings of the National Seminar on Mathematics. 
92f:00027 
Progress in functional analysis * Progress in functional analysis. 92i:46002 
Progress in Mathematics * Symplectic geometry and mathematical physics. 92k:58004 
Seminar: 
Mathematics * Proceedings of the National Seminar on Mathematics. 92f:00027 
Statistical model * A statistical model. 92a:01079 
Statistical theory and modelling * Statistical theory and modelling. 92i:62002 
Symplectic geometry and mathematical physics * Symplectic geometry and mathematical 
physics. 92k:58004 


00B50 Volumes of selected translations 


Selected translations * Selected translations. 92a:00044 
— * Selected translations. 92b:00054 

— * Selected translations. 92f:00029 

— * Selected translations. 92m:00062 

Siberian Advances in Mathematics * Siberian advances in mathematics. 92b:00055 
— * Siberian Advances in Mathematics. 92d:00039 

— * Siberian advances in mathematics. 92¢:00015 

— * Siberian Advances in Mathematics. 92i:00032 

— * Siberian Advances in Mathematics. 92m:00063 
Sugaku Expositions * Sugaku Expositions. 92b:00056 
— * Sugaku Expositions. 92f:00030 


Items with secondary classifications in 00B50 


Soviet Journal of Numerical Analysis and Mathematical Modelling * Soviet Journal of 
Numerical Analysis and Mathematical Modelling. 924:65011 


00B55 Miscellaneous volumes of translations 


(Behr, E.) see Algebra, 92b:00057 

(Ivanov, Simeon) see American Mathematical Society Translations, Series 2, 92f:00031 
(Kostrikin, Aleksei Ivanovich) see Algebra, 92b:00057 

(Shafarevich, I. R.) see Algebra, 92b:00057 

(Tikhomirov, V.M.) see Congress: Mathematicians, 92j:00033 

(Varchenko, A. N.) see Proceedings: Bourbaki Seminar, 92j:00034 


Items listed otherwise than by author 

Algebra * Algebra. II. 92b:00057 

Algebra. Topology. Geometry * Algebra. Topology. Geometry. Vol. 28. 92a:00045 

— * Algebra. Topology. Geometry. Vol. 27. 92g:00032 

All-Union School: 
Theory of Functions * Theory of functions. 

Amberd * Theory of functions. 

American Mathematical Society Translations, Series 2 * American Mathematical Society 
Translations. Series 2. Vol. 149. 92f:00031 

Berkeley, CA %* MexayHapogubih Kourpecc Matematuxos B Bepxan, 1986. (Russian) 
[International Congress of Mathematicians in Berkeley, 1986] 92j:00033 

Congress: 
Mathematicians * MexnyHapogubit Kourpecc Matematuxkos B Bepxau, 1986. (Russian) 

[International Congress of Mathematicians in Berkeley, 1986] 92j:00033 

Dynamic systems * Dynamic systems. No. 6. 92g:00033 

Encyclopaedia of Mathematical Sciences * Algebra. II. 92b:00057 

Mathematical analysis * Mathematical analysis. Vol. 27. 92¢:00016 

Probability theory. Mathematical statistics. Theoretical cybernetics * Probability theory. 
Mathematical statistics. Theoretical cybernetics. Vol. 29. 92i:00033 


Bourbaki Seminar * Tpyn11 Cemuuapa H. Byp6axu 3a 1988 r. (Russian) [Proceedings of 
the Bourbaki Seminar for 1988] 92j:00034 
Seminar: 
Bourbaki * Tpyas1 Cemunapa H. Byp6axu 3a 1988 r. (Russian) [Proceedings of the 
Bourbaki Seminar for 1988] 92j:00034 
Theory of functions * Theory of functions. 


00B Conference proceedings and collections of papers 


Items with secondary classifications in 00B55 

(Egorov, Yurii Viadimirovich) see Partial differential equations, 92f:35005 

(Grinfeld, Michael) see Partial differential equations, 92f:35005 

(Ivanov, Simeon) see Current mathematical problems of mechanics and their applications and 
Operator theory with a random potential, and some questions of statistical physics 

(Sedov, L. 1.) see Current mathematical problems of mechanics and their applications 

(Shubin, M. A.) see Partial differential equations, 92f:35005 

(Sosinskii, A. B.) see Representation theory and dynamical systems, 92m:00030 

(Vershik, A.M.) see Representation theory and dynamical systems, 92m:02030 


Items listed otherwise than by author 

Birthday: 
Sedov, L. I. * Current mathematical problems of mechanics and their applications. 

Boundary vaiue problems of mathematical physics * Boundary value p of mathemat- 
ical physics. XIV. 

Conference: 
Current Mathematical Problems of Mechanics and their Applications * Current 

mathematical problems of mechanics and their applications. 

Current mathematical problems of mechanics and their applications * Current mathematical 
problems of mechanics and their applications. 

Current problems in mathematics. Newest results * Current problems in mathematics. 
Newest results. Vol. 34. 92e:58001 

— * Current problems in mathematics. Newest results. Vol. 35. 92¢:58002 

— * Current problems in mathematics. Newest results. Vol. 36. 92f:00017 

— * Current problems in mathematics. Newest results. Vol. 37. 92g:35003 

Encyclopaedia of Mathematical Sciences * Partial differential equations. III. 92f:35005 

Galois theory, rings, algebraic groups and their applications * Galois theory, rings, algebraic 
groups and their applications. 

Mathematical analysis * Mathematical analysis. Vol. 26. 92e:47003 

— * Mathematical analysis. Vol. 28. 92h:00017 

Moscow * Current mathematical problems of mechanics and their applications. 

Operator theory with a random potential, and some questions of statistical physics 
* Operator theory with a random potential, and some questions of statistical physics. 

Partial differential equations * Partial differential equations. III. 92f:35005 

Probability theory. Mathematical statistics. Theoretical cybernetics * Probability theory. 
Mathematical Statistics. Theoretical cybernetics. Vol. 28. 92f:68004 

Problems in geometry * Problems in geometry. Vol. 22. 92f:53001 

— * Problems in geometry. Vol. 21. 92f:53002 

Representation theory and dynamical systems * Representation theory and dynamical 
systems. 92m:00030 

Seminar: 
Stability Problems for Stochastic Models * Stability problems for stochastic models. 

92h:60005 

Stability problems for stochastic models * Stability problems for stochastic models. 
92h:60005 

— * Stability problems for stochastic models. 

Statistical methods of estimation and hypothesis * Statistical methods of estimation and 
hypothesis. 

Statistical methods of estimation and hypothesis testing * Statistical methods of estimation 
and hypothesis testing. 

Sukhumi * Stability problems for stochastic models. 92h:60005 





00B60 Collections of reprinted articles [see also 01475] 


(Campbell, David K.) see Nonlinear science: the next decade, 92j:00035 
(Ecke, Robert E.) see Nonlinear science: the next decade, 92j:00035 
(Hyman, James M.) see Nonlinear science: the next decade, 92j:00035 
(Klamkin, Murray S.) see Problems in applied mathematics, 92g:00034 


Items listed otherwise than by author 
Conference: 
Center for Nonlinear Studies * Nonlinear science: the next decade. 92j:00035 
Nonlinear Science: the Next Decade * Nonlinear science: the next decade. 92j:00035 
Les Alamos, NM * Nonlinear science: the next decade. 92j:00035 
Nonlinear science: the next decade * Nonlinear science: the next decade. 92j:00035 
Problems in applied mathematics * Problems in applied mathematics. 92g:00034 


Items with secondary classifications in 00B60 

(Cardy, John L.) see Finite-size scaling, 92e:82002 

Chaitin, G. J. * Information, randomness & incompleteness. 92m:01094 

Dirac, Paul Adrien Maurice * BocnomanaHus 0 HeoObatinon anoxe. (Russian) [Recollec- 
tions of an exciting era] 92m:01096 

(Gelfand, I. M.) see Geometry and physics, 92k:00025 

(Gindikin, S.G.) see Geometry and physics, 92k:00025 

(Kasahara, Koji) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 

(MacKay, R.S.) see Hamiltonian dynamical systems, 92g:58028 

(Meiss, J.D.) see Hamiltonian dynamical systems, 92g:58028 

(Mizohata, Sigeru) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 

(Ohya, Yujiro) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 

(Rubinstein, Ariel) see Game theory in economics, 92b:90009 

(Shimakura, N.) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 

(Singer, I.M.) see Geometry and physics, 92k:00025 

(Smorodinskaya, N. Ya.) see Dirac, Paul Adrien Maurice, 92m:01096 

(Smorodinskii, Ya. A.) see Dirac, Paul Adrien Maurice, 92m:01096 








00B60 


Items listed otherwise than by author 

Biography: 
Dirac, Paul Adrien Maurice see Dirac, Paul Adrien Maurice, 92m:01096 

Birthday: 
Mizohata, Sigeru * Recent developments in mathematical analysis and partial differen- 

tial equations. Vol. II. 92c:00018b 

Finite-size scaling * Finite-size scaling. 92e:82002 

Game theory in economics * Game theory in economics. 92b:90009 

Geometry and physics * Geometry and physics. 92k:00025 

Hamiltonian dynamical systems * Hamiltonian dynamical systems. 92g:58028 

Recent developments in mathematical analysis and partial differential equations * Recent 
developments in mathematical analysis and partial differential equations. Vol. I. 
92c:00018a 

— * Recent developments in mathematical analysis and partial differential equations. Vol. 
II. 92¢:00018b 

Recollections of an exciting era see Dirac, Paul Adrien Maurice, 92m:01096 


01-XX History and biography [see also the 
classification number —03 in the other 
sections] 


01-00 General reference works (handbooks, dictionaries, 
bibliograp*:‘<s, etc.) 

Bunch, Bryan see Hellemans, Alexander, 92g:01001 

(Degener, Gesine) see Bibliography: German-language Arabistics and Islamic studies, from 
their beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

Dietsch, Ingrid Leibniz-Bibliographie 1991. [Leibniz bibliography 1991] 

(Ehrig-Eggert, Carl) see Bibliography: German-language Arabistics and Islamic studies, from 
their beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

(Gottwald, Siegfried) see Dictionary: Eminent mathematicians, 92e:01001 

(Hamel, Jiirgen) see Central catalogue of old astronomical printed works in the libraries of the 
GDR (up to 1700), 92a:01002 and 92i:01001 

(Heinekamp, Albert) see Dietsch, Ingrid 

Hellemans, Alexander (with Bunch, Bryan) * The timetables of science. 92g:01001 

(Ilgauds, Hans-Joachim) see Dictionary: Eminent mathematicians, 92e:01001 

(Leibniz, Gottfried Wilhelm) see Dietsch, Ingrid 

(Léchter, Norbert) see Bibliography: German-language Arabistics and Islamic studies, from 
their beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

(Neu, John A.) see Bibliography: History of science and its cultural influences, 92a:01001 and 
92m:01001 

(Neubauer, Eckhard) see Bibliography: German-language Arabistics and Islamic studies, 
from their beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

(Schlote, Karl-Heinz) see Dictionary: Eminent mathematicians, 92e:01001 

(Sezgin, Fuat) see Bibliography: German-language Arabistics and Islamic studies, from their 
beginnings to 1986, and literature on present-day Arabic countries, 92k:01001 

Wiorkowski, John J. A lightly annotated bibliography of the publications of the American 
Statistical Association. 


Items listed otherwise than by author 
Bibliography: 

Astronomical printed works in the libraries of the GDR (up to 1700) * Zentralkatalog alter 
astronomischer Drucke in den Bibliotheken der DDR (bis 1700). Teil 3. (German) 
[Central catalogue of old astronomical printed works in the libraries of the GDR (up 
to 1700). Part 3] 92a:01002 

— * Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 
1700). Teil 4. (German) [Central catalogue of old astronomical printed works in the 
libraries of the GDR (up to 1700). Part 4] 92i:01001 

German-language Arabistics and Islamic studies, from their beginnings to 1986, and 
literature on present-day Arabic countries * Bibliographie der deutschsprachigen 
Arabistik und Islamkunde, von den Anfangen bis 1986 nebst Literatur iiber die 
arabischen Lander der Gegenwart. (German) [Bibliography of German-language 
Arabistics and Islamic studies, from their beginnings to 1986, and literature on present- 
day Arabic countries] 92k:01001 

History of science and its cultural influences Isis current bibliography of the history of 
science and its cultural influences. 1990. 92a:01001 

— Isis current bibliography of the history of science and its cultural influences. 
92m:01001 

Leibniz, Gottfried Wilhelm see Dietsch, Ingrid 

Central catalogue of old astronomical printed works in the libraries of the GDR (up to 1700) 

* Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700). 

Teil 3. (German) [Central catalogue of old astronomical printed works in the libraries of 

the GDR (up to 1700). Part 3] 92a:01002 

— * Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700). 
Teil 4. (German) [Central catalogue of old astronomical printed works in the libraries of 
the GDR (up to 1700). Part 4] 92i:01001 

Dictionary: 

Eminent mathematicians * Lexikon bedeutender Mathematiker. (German) [Dictionary 

of eminent mathematicians] 92e:01001 
Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700) 
* Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700). 
Teil 3. (German) [Central catalogue of old astronomical printed works in the libraries of 


GENERAL 


the GDR (up to 1700). Part 3] 92a:01002 

— * Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700). 
Teil 4. (German) [Central catalogue of old astronomical printed works in the libraries of 
the GDR (up to 1700). Part 4] 92i:01001 


Items with secondary classifications in 01-00 

Bissell, C.C. Secondary sources for the history of control engineering: an annotated 
bibliography. 92f:93001 

Dilcher, Karl (with Skula, Ladislav; Slavut-skii, I. Sh.) * Bernoulli numbers. 92f:11001 

Skula, Ladislav see Dilcher, Karl; et al., 92f:11001 

Slavut-skii, I. Sh. see Dilcher, Karl; et al., 92f:11001 


Items listed otherwise than by author 


Bibliography: 
Bernoulli numbers see Dilcher, Karl; et al., 92f:11001 


01-01 Instructional exposition (textbooks, tutorial papers, etc.) 


(Asimov, Isaac) see Boyer, Carl B., 92a:01003 

Boyer, Carl B. * A history of mathematics. 92a:01003 

Eves, Howard * An introduction to the history of mathematics. 92c:01001 

(Eves, Jamie H.) see Eves, Howard, 92c:01001 

(Merzbach, Uta C.) see Boyer, Carl B., 92a:01003 

(Nikoli¢é, Milenko M.) see Struik, Dirk Jan, 92a:01005 

Struik, Dirk Jan * Geschiedenis van de wiskunde. (Dutch) [History of mathematics] 
92a:01004 

— * Kparak nperneg uctopuje Matematuke. (Serbo-Croatian) [A concise history of 
mathematics] 92a:01005 

Taimipa, D. * Matematikas vésture. (Latvian) [The history of mathematics] 92f:01001 

(Trifunovié, Dragan) see Struik, Dirk Jan, 92a:01005 


Items with secondary classifications in 01-01 


(Christoph, Klara) see Simonyi, K., 92b:01008 

Eves, Howard * Foundations and fundamental concepts of mathematics. 92k:00001 

(Hartman, Stanislaw) see Ifrah, Georges, 92e:01005 

Ifrah, Georges * Dzieje liczby czyli historia wielkiego wynalazku. (Polish) [The history of 
numbers or the history of a great discovery] 92¢:01005 

Koch, Helmut V. * Introduction to classical mathematics. I. 92k:00010 

(Meserve, Bruce E.) see Eves, Howard, 92k:00001 

Simonyi, K. * Kulturgeschichte der Physik. (German) [Cultural history of physics] 
92b:01008 

(Stillwell, John C.) see Koch, Helmut V., 92k:00010 


01-02 Research exposition (monographs, survey articles) 


Brezinski, Claude * History of continued fractions and Padé approximants. 92c:01002 

(Taton, René) see Planetary astronomy from the Renaissance to the rise of astrophysics, 
92c:01003 

(Wilson, Curtis) see Planetary astronomy from the Renaissance to the rise of astrophysics, 
92c:01003 


Items listed otherwise than by author 


Planetary astronomy from the Renaissance to the rise of astrophysics * Planetary astronomy 
from the Renaissance to the rise of astrophysics. Part A. 92¢:01003 


01-06 Proceedings, conferences, collections, etc. 


(Bag, A. K.) see History of oriental astronomy, 92m:01003 

(Bogart, Kenneth P.) see Dilworth, Robert Palmer, 92f:01002 

(Daston, Lorraine J.) see Probabilistic revolution, 92a:01006a 

Dilworth, Robert Palmer * The Dilworth theorems. 92f:01002 

(Doncel, Manuel G.) see Symmetries in physics, 92b:01004 

(Freese, Ralph S.) see Dilworth, Robert Palmer, 92f:01002 

(Gaukroger, Stephen) see Uses of antiquity, 92m:01006 

(Gigerenzer, Gerd) see Probabilistic revolution, 92a:01006b 

(Heidelberger, Michael) see Probabilistic revolution, 92a:01006a 

(Hermann, Armin) see Symmetries in physics, 92b:01004 

(KaSanin, Radivoje) see Present past, 92m:01005 

(Kriiger, Lorenz) see Probabilistic revolution, 92a:01006a and 92a:01006b 

(Kung, Joseph P.S.) see Dilworth, Robert Palmer, 92f:01002 

(Leibniz, Gottfried Wilhelm) see Leibniz, Gottfried Wilhelm, 92m:01004 

(Lindberg, David C.) see Reappraisals of the Scientific Revolution, 92a:01007 

(Michel, Louis) see Symmetries in physics, 92b:01004 

(Morgan, Mary S.) see Probabilistic revolution, 92a:01006b 

(Pais, Abraham) see Symmetries in physics, 92b:01004 

(Roche, John J.) see Physicists look back, 92h:01001 

(Shukla, Kripa Shankar) see History of oriental astronomy, 92m:01003 

(Stasiewicz-Jasiukowa, Irena) see Founders of Polish schools and scientific models write 
about their works, 92b:01001 

(Swarup, G.) see History of oriental astronomy, 92m:01003 

(Trifunovi¢, Dragan) see Present past, 92m:01005 

(Westman, Robert S.) see Reappraisals of the Scientific Revolution, 92a:01007 





Items listed otherwise than by author 

Algiers * Histoire des mathématiques arabes. (French) [History of Arab mathematics] 
92b:01002 

Colloquium: 
History of Arab Mathematics * Deuxiéme Colloque Maghrebin sur l’Histoire des 


Mathématiques Arabes. (Arabic) [Second Maghreb Colloquium on the History of Arab 
Mathematics] 92m:01002 





25 1992 


Colloquium: (cont'd. ) 

— * Histoire des mathématiques arabes. (French) [History of Arab mathematics] 
92b:01002 

History of Oriental Astronomy * History of oriental astronomy. 92m:01003 

Firenze * The Leibniz renaissance. 92b:01003 

Founders of Polish schools and scientific models write about their works * The founders of 
Polish schools and scientific models write about their works. 92b:01001 

Histoire des mathématiques arabes * Histoire des mathématiques arabes. (French) [History 
of Arab mathematics] 92b:01002 

History of Arab mathematics * Histoire des mathématiques arabes. (French) [History of 
Arab mathematics] 92b:01002 

History of oriental astronomy * History of oriental astronomy. 92m:01003 

Leibniz, Gottfried Wilhelm * G. W. Leibniz (1646-1716). (Spanish) 92m:01004 

Leibniz renaissance * The Leibniz renaissance. 92b:01003 

Meeting: 
History of Scientific Ideas %* Symmetries in physics (1600-1980). 92b:01004 

New Delhi * History of oriental astronomy. 92m:01003 

Obituary: 
KaSanin, Radivoje * [Ipacyrua npounoct. (Serbo-Croatian) [The present past] 

92m:01005 

Physicists look back * Physicists look back. 92h:01001 

Present past * IIpucytua npommoct. (Serbo-Croatian) [The present past] 92m:01005 

Probabilistic revolution * The probabilistic revolution. Vol. 1. 92a:01006a 

— * The probabilistic revolution. Vol. 2. 92a:01006b 

Problemes d’histoire des sciences en Chine * Problémes d’histoire des sciences en Chine. I. 
(French) [Problems of the history of science in China. I] 92i:01002 

Problems of the history of science in China * Problémes d’histoire des sciences en Chine. I. 
(French) [Problems of the history of science in China. I] 92i:01002 

Reappraisals of the Scientific Revolution * Reappraisals of the Scientific Revolution. 
92a:01007 

San Feliu de Guixols * Symmetries in physics (1600-1980). 92b:01004 

Symmetries in physics * Symmetries in physics (1600-1980). 92b:01004 

Tunis * Deuxiéme Colloque Maghrebin sur l’Histoire des Mathématiques Arabes. (Arabic) 
[Second Maghreb Colloquium on the History of Arab Mathematics] 92m:01002 

Uses of antiquity * The uses of antiquity. 92m:01006 

Workshop: 
Leibniz Renaissance * The Leibniz renaissance. 92b:01003 


Items with secondary classifications in 01-06 

(Ariew, Roger) see Pierre Duhem: historian and philosopher of science, 92f:01004a and 
92£:01094b 

(Barker, Peter) see Pierre Duhem: historian and philosopher of science, 92f:01004a and 
92£:01004b 

(Blok, H.) see Huygens’ principle 1690-1990: theory and applications, 92m:78001 

(Bush, Vannevar) see From Memex to hypertext: Vannevar Bush and the mind’s machine, 
92m:01043 

(Duhem, Pierre) see Pierre Duhem: historian and philosopher of science, 92f:01004a and 
92£:01004b 

(Ferwerda, Hedzer A.) see Huygens’ principle 1690-1990: theory and applications, 
92m:78001 

(Gétze, Heinz) see Miscellanea mathematica, 92d:00038 

(Hilton, Peter J.) see Miscellanea mathematica, 92d:00038 

(Hirzebruch, Friedrich) see Miscellanea mathematica, 92d:00038 

(Huygens, Christiaan) see Huygens’ principle 1690-1990: theory and applications, 
92m:78001 

(Kahn, Paul) see From Memex to hypertext: Vannevar Bush and the mind’s machine, 
92m:01043 

(Kennedy, E.S.) see From deferent to equant, 92b:01015 

(King, David Anthony) see From deferent to equant, 92b:01015 

(Konig, Gert) see Concepts of the mathematically infinite in the 19th century, 92d:01023 

(Kuiken, H. K.) see Huygens’ principle 1690-1990: theory and applications, 92m:78001 

(Nyce, James M.) see From Memex to hypertext: Vannevar Bush and the mind’s machine, 
92m:01043 

(Remmert, Reinhold) see Miscellanea mathematica, 92d:00038 

(Saliba, George) see From deferent to equant, 92b:01015 

(Taton, René) see Planetary astronomy from the Renaissance to the rise of astrophysics, 
92c:01003 

(Wendel, Ginter) see Scientific revolution in the 17th century, 92g:01036 

(Wilson, Curtis) see Planetary astronomy from the Renaissance to the rise of astrophysics, 
92c:01003 


Items listed otherwise than by author 
Colloquium: 

Philosophy and History of Mathematics * II Coloquio Internacional de Filosofia e 
Historia de las Matematicas. (Spanish) [2nd International Colloquium on Philosophy 
and History of Mathematics] 92i:00022 

Concepts of the mathematically infinite in the 19th century * Konzepte des mathematisch 
Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 
the 19th century] 92d:01023 

Festschrift: 
Gitze, Heinz * Miscellanea mathematica. 92d:00038 

From deferent to equant * From deferent to equant. 92b:01015 

From Memex to hypertext: Vannevar Bush and the mind’s machine * From Memex to 
hypertext: Vannevar Bush and the mind’s machine. 92m:01043 

Huygens’ principle 1690-1990: theory and applications * Huygens’ principle 1690-1990: 
theory and applications. 92m:78001 

Konzepte des mathematisch Unendlichen im 19. Jahrhundert * Konzepte des mathematisch 

Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 

the 19th century] 92d:01023 


HISTORY AND BIOGRAPHY 


01A05 


México City * II Coloquio Internacional de Filosofia e Historia de las Matematicas. 
(Spanish) [2nd International Colloquium on Philosophy and History of Mathematics] 
92i:00022 

Miscellanea mathematica * Miscellanea mathematica. 92d:00038 

Naturwissenschaftliche Revolution im 17. Jahrhundert * Naturwissenschaftliche Revolution 
im 17. Jahrhundert. (German) [Scientific revolution in the 17th century] 92g:01036 

Pierre Duhem: historian and philosopher of science * Pierre Duhem: historian and 
philosopher of science. Part I. 92f:01004a 

— * Pierre Duhem: historian and philosopher of science. Part I]. 92f:01004b 

astronomy from the Renaissance to the rise of astrophysics * Planetary astronomy 
from the Renaissance to the rise of astrophysics. Part A. 92¢:01003 


Seminar on the History of Mathematics * Cahiers du Séminaire d’Histoire des 
Mathématiques. 12. (French) [Proceedings of the Seminar on the History of Mathe- 
matics. 12] 92m:01045a 

Scheveningen * Huygens’ principle 1690-1990: theory and applications. 92m:78001 
Scientific revolution in the 17th century * Naturwissenschaftliche Revolution im 17. 

Jahrhundert. (German) [Scientific revolution in the 17th century] 92g:01036 
Seminar: 

History of Mathematics * Cahiers du Séminaire d’Histoire des Mathématiques. 

12. (French) [Proceedings of the Seminar on the History of Mathematics. 12] 
92m:01045a 
Symposium: 

Huygens’ Principle 1690-1990: Theory and Applications * Huygens’ principle 1690- 

1990: theory and applications. 92m:78001 
The Hague * Huygens’ principle 1690-1990: theory and applications. 92m:78001 


01Axx History of mathematics and mathematicians 


01A05 General histories, source books 


Andersen, Kirsti see Scholz, Erhard; et al., 92i:01004 

Apokin, I. A. (with Maistrov, L. E.) * Ucropusa sbrincnuTenbHon TexHuKu. (Russian) 
[History of computer science] 92g:01002 

(Ariew, Roger) see Pierre Duhem: historian and philosopher of science, 92f:01004a and 
92f:01004b 

Aspray, William (with Bromley, A. G.; Campbell-Kelly, M.; Ceruzzi, P. E.; Williams, 
Michael Roy) * Computing before computers. 92d:01001 

(Barker, Peter) see Pierre Duhem: historian and philosopher of science, 92f:01004a and 
92f:01004b 

Bell, E. T. * The last problem. 92b:01005 

Benvenuto, Edoardo * An introduction to the history of structural mechanics. Part I. 
92a:01008a 

— * An introduction to the history of structural mechanics. Part II. 92a:01008b 

Bos, Henk J. M. see Scholz, Erhard; et al., 92i1:01004 

(de Broglie, Louis) see Dugas, René, 92a:01010 

Bromberg, S. (with Moreno Armella, Luis) Three milestones in the history of the 
foundations of geometry. 92d:01002 

Bromley, A. G. see Aspray, William; et al., 92d:01001 

Cai, Dong Han A brief history of probability theory. (Chinese. English summary) 
92f:01003 

Campbell-Kelly, M. see Aspray, William; et al., 92d:01001 

Ceruzzi, P. E. see Aspray, William; et al., 92d:01001 

Chaikovskii, Yu. V. The history of science and teaching science (using the example of the 
concepts of “randomness” and “probability”). (Russian. English summary) 92c:01004 

(Christoph, Klara) see Simonyi, K., 92b:01008 

Coolidge, Julian Lowell * The mathematics of great amateurs. 92a:01009 

(Dudley, Underwood) see Bell, E. T., 92b:01005 

Dugas, René * A history of mechanics. 92a:01010 

(Duhem, Pierre) see Pierre Duhem: historian and philosopher of science, 92f:01004a and 
92£:01004b 

Ewing, John H. Essay review of The history of modern mathematics (Vol. I, Academic Press, 
Boston, MA, 1989; MR 90j:01001; Vol. IJ; MR 90j:01002] edited by D. E. Rowe and J. 
McCleary. 

Finn, Robert Capillary surfaces: a partly historical survey. 92e:01002 

Fomenko, A. T. * The Plateau problem. Part I. 92e:01003 

— * The Plateau problem. Part II. 92¢:01004 

— see also Kalashnikov, V. V.; et al., 92e:01006 and 92¢:01007 

Gabbey, Alan The case of mechanics: one revolution or many? (see 92a:01007) 

Gericke, Helmuth * Mathematik im Abendland. (German) [Mathematics in the Occident] 
92g:01003 

(Gray, Jeremy) see Coolidge, Julian Lowell, 92a:01009 

(Gurshtein, A. A.) see van der Waerden, Bartel Leendert, 92m:01009 

Hansen, Vagn Lundsgaard Geometry and the physical world. (Danish. English summary) 
92h:01002 

(Hartman, Stanislaw) see Ifrah, Georges, 92¢:01005 

Hatfield, Gary Metaphysics and the new science. (see 92a:01007) 

Hollingdale, Stuart * Makers of mathematics. 92a:01011 

Hayrup, Jens On parts of parts and ascending continued fractions. An investigation of the 
origins and spread of a peculiar system. 92j:01001 

Hrube3, Jaromir On the history of the solution of equations. (Czech. English summary) 
92b:01006 

Ifrah, Georges * Dzieje liczby czyli historia wielkiego wynalazku. (Polish) [The history of 
numbers or the history of a great discovery] 92e:01005 

Ineichen, Robert Der schlechte Wiirfel—ein selten behandeltes Problem in der Geschichte 
der Stochastik. (English and French summaries) [The crooked die—a problem rarely 
treated in the history of stochastics] 

Joseph, George Gheverghese * The crest of the peacock. 92g:01004 








01A05 


Kalashnikov, V. V. (with Nosovskii, G. V.; Fomenko, A. T.) The geometry of moving 
constellations of stars and dating of the A/magest. (Russian) 92e:01006 

— (with Nosovskii, G. V.; Fomenko, A. T.) Statistical analysis of the star catalog Almagest. 
(Russian) 92¢:01007 

Kleiner, Israel Rigor and proof in mathematics: a historical perspective. 92m:01007 

(Kurtik, G. E.) see van der Waerden, Bartel Leendert, 92m:01009 

(Lehmer, D. H.) see Bell, E. T., 92b:01005 

Lions, Jacques-Louis De la machine a calculer de Pascal aux ordinateurs. [From Pascal’s 
calculating machine to the computer] 92j:01002 

de Lorenzo, Javier History of mathematics. (Spanish) 92i:01003 

(Maddox, J.R.) see Dugas, René, 92a:01010 

Maistrov, L. E. see Apokin, I. A., 92g:01002 

Matvievskaya, G. P. *% Ouepxa ucropuu TpxroHomertpuu. (Russian) [An outline of the 
history of trigonometry] 92d:01003 

(McCleary, John) see Ewing, John H. 

Mebhrtens, Herbert * Moderne—Sprache—Mathematik. (German) [Modernity— 
languagi thematics}] 92g:01005 

Meschkowski, Herbert * Denkweisen groBer Mathematiker. (German) [Ways of thought of 
great mathematicians] 92a:01012 

Moreno Armella, Luis see Bromberg, S., 92d:01002 

Nosovskii, G. V. see Kalashnikov, V. V.; et al., 92e:01006 and 92¢:01007 

Petrov, Yu. P. From the history of the calculus of variations and the theory of optimal 
processes. (Russian) 92g:01006 

(Pogrebysskii, I. B.) see Struik, Dirk Jan, 92m:01008 

Radbruch, Knut Mathematik a la Philosophie—Philosophie a la Mathematik: ein his- 
torischer Uberblick. [Mathematics a la philosophy—philosophy a la mathematics: a his- 
torical survey] 92e:01008 

(Rowe, David E.) see Ewing, John H. 

Scholz, Erhard (with Andersen, Kirsti; Bos, Henk J. M.; et al.) % Geschichte der Algebra. 
(German) [History of algebra] 92i:01004 

Shanker, S.G. The dawning of (machine) intelligence. 92a:01013 

Sheinin, O. B. On the history of the statistical method in natural science. (Russian) 
92b:01007 

Simonov, R. A. The meaning of the concepts included in the term “mathematics” in ancient 
Russia. (Russian) 92g:01007 

Simonyi, K. * Kulturgeschichte der Physik. (German) [Cultural history of physics] 
92b:01008 . 

Struik, Dirk Jan * Kpatxuii ovepx uctopau MaTemaTuxa. (Russian) [A concise history of 
mathematics] 92m:01008 

Themudo, Marilia Alda de Lima Monteiro The evolution of astronomical concepts: from 
geocentrism to heliocentrism. (Portuguese) (see 92g:00025) 

(Truesdell, C.) see Benvenuto, Edoardo, 92a:01008a and 92a:01008b 

van der Waerden, Bartel Leendert * IIpo6yxatomasca Hayxa. II. Poxgenue acTpoHoMHH. 
(Russian) [Science awakening. II. Birth of astronomy] 92m:01009 

Waszkiewicz, Jan On the problem of the historical origins of mathematics. (Polish) 
92c:01005 

Williams, Michael Roy see Aspray, William; et al., 92d:01001 





Items listed otherwise than by author 

Pierre Duhem: historian and philosopher of science * Pierre Duhem: historian and 
philosopher of science. Part I. 92f:01004a 

— * Pierre Duhem: historian and philosopher of science. Part II. 92f:01004b 


Items with secondary classifications in 01A05 

(Asimov, Isaac) see Boyer, Carl B., 92a:01003 

Blekhman, I. 1. (with Myshkis, A. D.; Panovko, Ya. G.) * Mexanuka 4 NpaknagqHaa 
MaTematTuka. (Russian) [Mechanics and applied mathematics] 92g:00011 

Boyer, Carl B. * A history of mathematics. 92a:01003 

Brown, Gavin Essay review of Fourier analysis [Cambridge Univ. Press, Cambridge, 1988; 
MR 89f:42001] by T. W. Kérner. (Russian) 

Bunch, Bryan see Hellemans, Alexander, 92¢:01001 

Dombrowski, Peter Differentialgeometrie. [Differential geometry] 92a:01052 

Dowden, Bradley H. A linear continuum of time. 92i:00006 

Dunham, William * Journey through genius. 92k:00008 

(D’yakonov, K. M.) see Brown, Gavin 

(Ebeling, Werner) see Vol’kenshtein, M. V., 92a:80001 

(Eisenreich, Ginther) see Stewart, Ian N., 92a:00012 

Eves, Howard * An introduction to the history of mathematics. 92¢:01001 

(Eves, Jamie H.) see Eves, Howard, 92c:01001 

Ferrarin, Alfredo Mathesis and construction in ancient and modern geometry. (Italian) 

Graham, Ronald L. (with Yao, Foong Frances) A whirlwind tour of computational 
geometry. 

Hellemans, Alexander (with Bunch, Bryan) * The timetables of science. 92g:01001 

Hidayatt, Nasrullah The role and influence of Eastern mathematics on the advancement of 
the mathematics of European nations. (Persian) (see 92m:00055) 

Hofmann, Joseph Ehrenfried * Ausgewahlte Schriften. Band I. (German) [Selected 
writings. Vol. I] 92f:01041a 

— * Ausgewahite Schriften. Band II. (German) [Selected writings. Vol. II] 92f:01041b 

Klee, Victor (with Wagon, Stan) * Old and new unsolved problems in plane geometry and 
number theory. 92k:00014 

(Korner, T. W.) see Brown, Gavin 

(Lachterman, David Rapport) see Ferrarin, Alfredo 

Lax, Peter D. The flowering of applied mathematics in America. 92c:01035 

(Lindberg, David C.) see Reappraisals of the Scientific Revolution, 92a:01007 

Mackay, Alan L. Crystals and fivefold symmetry. 92b:52043 

Maor, Eli * To infinity and beyond. 92f:00006 

(Merzbach, Uta C.) see Boyer, Carl B., 92a:01003 

(Miiller, Helga) see Vol’kenshtein, M. V., 92a:80001 

Myshkis, A. D. see Blekhman, I. L.; et al., 92g:00011 

(Nikoli¢, Milenko M.) see Struik, Dirk Jan, 92a:01005 


HISTORY AND BIOGRAPHY 


(Nikol’skii, N. K.) see Brown, Gavin 

Ogilvie, Marilyn Bailey * Women in science. 92f:01034 

(Panov, M. 1.) see Methodological problems in the development and application of mathemat- 
ics, 92b:00014 

Panovko, Ya. G. see Blekhman, I. I; et al., 92g:00011 

Reichel, Hans-Christian Mathematik als Paradigma und Propadeutik der Philosophie. 
[Mathematics as paradigm and propaedeutics in philosophy] 92a:00024 

Schappacher, Norbert Développement de la loi de groupe sur une cubique. [Development of 
the law of composition on a cubic curve] 92¢:14001 

(Scriba, Christoph J.) see Hofmann, Joseph Ehrenfried, 92f:01041a 

Sheinin, O. B. The notion of randomness from Aristotle to Poincaré. (French summary) 
92g:00009 

Sinaceur, Hourya Préhistoire de la géométrie algébrique réelle: de Descartes a Tarski. 
[Prehistory of real algebraic geometry: from Descartes to Tarski] (see 92m:14072) 

Stewart, Ian N. * Mathematik. (German) [The problems of mathematics] 92a:00012 

Struik, Dirk Jan * Geschiedenis van de wiskunde. (Dutch) [History of mathematics] 
92a:01004 

— * Kpatak mperneg uctopuje Matematuke. (Serbo-Croatian) [A concise history of 
mathematics] 92a:01005 

(Sylvester, James Joseph) see Stewart, Ian N., 92a:00012 

Taimina, D. * Matematikas vésture. (Latvian) [The history of mathematics] 92f:01001 

(Trifunovi¢, Dragan) see Struik, Dirk Jan, 92a:01005 

Vol’kenshtein, M. V. * Entropie und Information. (German) [Entropy and information] 
92a:80001 

Wagon, Stan see Klee, Victor, 92k:00014 

(Westman, Robert S.) see Reappraisals of the Scientific Revolution, 92a:01007 

Yao, Foong Frances see Graham, Ronald L. 


Items listed otherwise than by author 

Bibliography: 
Hofmann, Joseph Ehrenfried see Hofmann, Joseph Ehrenfried, 92f:01041a 

Dictionary: 
Women in science see Ogilvie, Marilyn Bailey, 92f:01034 

Methodological problems in the development and application of mathematics * Metogonoru- 
yeckHe NpoOjeMbI pa3BHTHA HM IpHMeHeHHA MaTeMaTHKKH. (Russian) [Methodological 
problems in the development and application of mathematics] 92b:00014 

Reappraisals of the Scientific Revolution * Reappraisals of the Scientific Revolution. 
92a:01007 


01A07 Ethnomathematics, general 


Ascher, Marcia * Ethnomathematics. 92c:01006 
Rosenfeld, Boris A. Planets and the days of the week. (Russian) 


Items with secondary classifications in 01A07 


Ammarell, Gene Sky calendars of the Indo-Malay archipelago. (see 92m:01003) 

Bloor, David The living foundations of mathematics: essay review of The ethnomethodologi- 
cal foundations of math tics [Routledge & Kegan Paul, London, 1986; MR 88b:00021] 
by Eric Livingston. (Spanish) 92j:00015 

(Livingston, Eric) see Bloor, David, 92j:00015 





01A10 Paleolithic, Neolithic 
Jablan, Slavik V. Ornament today. 92g:01008 


01A12 Indigenous cultures of the Americas 
Murillo, Mario Elements of Mayan arithmetic. (Spanish) (see 92e:00013) 


01A13 Other indigenous cultures (non-European) 
Ammarell, Gene Sky calendars of the Indo-Malay archipelago. (see 92m:01003) 


01A15 Indigenous European cultures (pre-Greek, etc.) 


Items with secondary classifications in 01A15 

(Cassini, Jean-Dominique) see Swerdlow, Noel M., 92e:01034 

Swerdlow, Noel M. Astronomical chronology and prophecy: Jean-Dominique Cassini’s 
discovery of Josephus’s great lunisolar period of the Patriarchs. 92e:01034 


01A16 Egyptian 


Clagett, Marshall * Ancient Egyptian science. Vol. 1. 92a:01014 

(James, T. G. H.) see Robins, Gay, 92j:01003 

Robins, Gay (with Shute, Charles) * The Rhind mathematical papyrus. 92j:01003 

Shute, Charles see Robins, Gay, 92j:01003 

Wang, Rong Bin On the division table in the Rhind mathematical papyrus of Egypt. 
(Chinese. English summary) 


Items with secondary classifications in 01A16 


Duranti, Gian Carlo * Terzo numero binomiale di Euclide e terza civilta di Ammon- 
Zeus. (Italian) [Euclid’s third binomial number and the third Ammon-Zeus civilization] 
92a:01015 

Heyrup, Jens On parts of parts and ascending continued fractions. An investigation of the 
origins and spread of a peculiar system. 92j:01001 


01A17 Babylonian 


Aaboe, Asger A late-Babylonian procedure text for Mars, and some remarks on retrograde 
arcs. (see 92b:01015) 





27 1992 


Brack-Bernsen, Lis On the Babylonian lunar theory: a construction of column ® from 
horizontal observations. 92¢:01009 

Britton, John P. A tale of two cycles: remarks on column ®. 92e:01010 

Friberg, Jéran * Mesopotamian mathematics: a survey. 92g:01009 

Heyrup, Jens Dynamis, the Babylonians, and Theaetetus 147c7—148d7. (French and 
German summaries) 92¢:01007a 

— Erratum: “Dynamis, the Babylonians, and Theaetetus 147c7-148d7”. 92c:01007b 

Jones, Alexander Babylonian and Greek astronomy in a papyrus concerning Mars. 
92g:01010 


Items with secondary classifications in 01A17 


Heyrup, Jens On parts of parts and ascending continued fractions. An investigation of the 
origins and spread of a peculiar system. 92j:01001 


01A20 Greek, Roman 


(Anaxagoras of Clazomenae) see Vizgin, V1. P., 92b:01010 

Annas, Julia Die Gegenstande der Mathematik bei Aristoteles. [The subjects of mathemat- 
ics in the work of Aristotle] (see 92c:01010) 

(Apollonius of Perga) see Elsner, Bernd, 92c:01008 

(Apuleius) see Londey, David, 92e:01015 

(Archimedes) see Knorr, Wilbur R., 92a:01017 and Dijksterhuis, E. J., 92g:01011 

(Aristotle) see Mathematics and metaphysics in Aristotle, 92c:01010; Eremina, V. M., 
92h:01004; Lucchetta, Giulio A.; Annas, Julia, (92c:01010); Mignucci, Mario, (92c:01010) 
and Burnyeat, M. F., (92c:01010) 

Berggren, J. Lennart Ptolemy’s maps of earth and the heavens: a new interpretation. 
92m:01010 

Berti, Enrico Les livres M et N dans la genése et la transmission de la Métaphysique. [Books 
M and N in the genesis and transmission of the Metaphysics] (see 92c:01010) 

Bertier, Janine Les preuves de la réalité des nombres et la théorie des idées d’aprés 
Métaphysique N2, 1090a 2-3, 1090b 5. [The proofs of the reality of numbers and the 
theory of ideas according to Metaphysics N2, 1090a 2-3, 1090b 5] (see 92c:01010) 

Burnyeat, M. F. Platonism and mathematics: a prelude to discussion. (see 92c:01010) 

Bychkov, S. N. Features of the ancient method of exhaustion. (Russian) 92e:01011 

(Caveing, Maurice) see Euclid, 92e:01012 

Christianidis, Jean P. Enseignement des éléments de l’arithmétique: un traité perdu de 
Diophante d’Alexandrie? (English and Greek summaries) [Teaching of the elements of 
arithmetic: a lost treatise of Diophantus of Alexandria?] 92h:01003 

De Meyer, Hans E. see Grosjean, Carl Clement, 92i:01005 

Dijksterhuis, E. J. * Archimedes. 92g:01011 

(Dikshoorn, C.) see Dijksterhuis, E. J., 92g:01011 

(Diophantus of Alexandria) see Christianidis, Jean P., 92h:01003 

Duranti, Gian Carlo * Terzo numero binomiale di Euclide e terza civilta di Ammon- 
Zeus. (Italian) [Euclid’s third binomial number and the third Ammon-Zeus civilization] 
92a:01015 

Efremov, Yu. N. The A/magest and “new chronology”. (Russian. English summary) 
92m:01011 

Elsner, Bernd * “Apollonius Saxonicus”. (German) 92c:01008 

Eremina, V. M. Aristotle on transitional unprovable propositions and five general concepts 
of Euclid. (Russian) 92h:01004 

Euclid * Les éléments. Vol. 1. (French) [Elements. Vol. 1] 92¢:01012 

— see also Medvedev, F. A., 92c:01009; Tobin, Richard, 92g:01012; Eremina, V. M.., 
92h:01004 and Zhu, En Kuan 

(Eudoxus of Cnidos) see Knorr, Wilbur R., 92b:01009 

Fomenko, A. T. (with Kalashnikov, V. V.; Nosovskii, G. V.) When was Ptolemy’s star 
catalogue in Almagest compiled in reality? Statistical analysis. 92e:01013 

— Mathematical statistics and problems of ancient chronology. A new approach. 92e:01014 

Fowler, D. H. * The mathematics of Plato’s Academy. 92j:01004 

Goldstein, Bernard R. * Theory and observation in ancient and medieval astronomy. 
92a:01016 

— The obliquity of the ecliptic in ancient Greek astronomy [Arch. Internat. Hist. Sci. 33 
(1983), no. 110, 3-14]. (see 92a:01016) 

— A note on the Metonic cycle [Isis 57 (1966), no. 187, 115-116]. (see 92a:01016) 

(Graeser, Andreas) see Mathematics and metaphysics in Aristotle, 92c:01010 

Grosjean, Carl Clement (with De Meyer, Hans E.) A new contribution to the mathematical 
study of the cattle-problem of Archimedes. 92i:01005 

(Heiberg, Johan Ludvig) see Euclid, 92e:01012 

Isnardi-Parente, Margherita Ta weta té ideac: figures idéales ou premiéres figures? [Ta 
peta tac 1deac: ideal figures or first figures?] (see 92c:01010) 

Janich, Peter Geschwindigkeit und Zeit. Aristoteles und Augustinus als Lehrmeister der 
modernen Physik? [Velocity and time. Aristotle and Augustine as teachers of modern 
physics?] (see 92e:83001) 

Johanson, Carmen see Londey, David, 92e:01015 

Jones, Alexander The adaptation of Babylonian methods in Greek numerical astronomy. 
92i:01006 

(Jungius, Joachim) see Elsner, Bernd, 92c:01008 

Kalashnikov, V. V. see Fomenko, A. T.; et al., 92e:01013 

Knorr, Wilbur R. On Archimedes’ construction of the regular heptagon. 92a:01017 

— Plato and Eudoxus on the planetary motions. 92b:01009 

— see also Dijksterhuis, E. J., 92g:01011 

Londey, David (with Johanson, Carmen) * The logic of Apuleius. 92e:01015 

Loomis, David E. Euclid: rhetoric in mathematics. 92a:01018 

Lacchetta, Giulio A. The Commentaria and the transformation of Aristotelian cosmology: 
recent publications and new problems. (Italian) 

Medvedev, F. A. Corniform angles in Euclid’s Elements and Proclus’s Commentaries. 
(Russian) 92¢:01009 

Mignucci, Mario Aristotle’s arithmetic. (see 92c:01010) 

Moreno Armella, Luis Concerning the notions of number and variation. (Spanish) 
92i:01007 

(Miiller, Johannes) see Elsner, Bernd, 92c:01008 


01A History of mathematics and mathematicians 


Nosovskii, G. V. see Fomenko, A. T.; et al., 92e:01013 

O'Meara, Dominic J. * Pythagoras revived. 92m:01012 

Patzig, Giinther Das Programm von M und seine Ausfihrung. [The program of M and its 
execution] (see 92c:01010) 

Pedersen, Olaf Greek astronomers and their neighbours. (see 92m:01003) 

Petit, Alain La géométrie de l’infini chez Eudoxe. [Geometry of the infinite in Eudoxus] 
92d:01004 

(Plato) see Knorr, Wilbur R., 92b:01009 and Burnyeat, M. F., (92c:01010) 

(Proclus) see Medvedev, F. A., 92c:01009 

Ruiz Ziiftiiga, Angel Epistemology and science in antiquity: the case of Epicureanism. 
(Spanish) (see 92e:00013) 

Schiirmann, Astrid * Griechische Mechanik und antike Gesellschaft. (German) [Greek 
mechanics and society in antiquity] 

Szlezak, Thomas Alexander Die Liickenhaftigkeit der akademischen Prinzipientheorien 
nach Aristoteles’ Darstellung in Metaphysik M und N. [The incompleteness of the 
academic theories of principles following Aristotle’s presentation in Metaphysics M and 
N] (see 92c:01010) 

Tobin, Richard Ancient perspective and Euclid’s Optics. 92g:01012 

Vega Reiién, Luis * La trama de la demostracion. (Spanish) [The web of demonstration] 
92g:01013 

(Vitrac, Bernard) see Euclid, 92e:01012 

Vizgin, V1. P. The problem of the plurality of worlds in the doctrine of Anaxagoras. 
(Russian) 92b:01010 

van der Waerden, Bartel Leendert The heliocentric system in Greek, Persian and Hindu 
astronomy. (see 92b:01015) 

Weil, André Sur quelques symétries dans I’Iliade. [On some symmetries in the Iliad] (see 
92d:00038) 

(Weland, Woldeck) see Elsner, Bernd, 92c:01008 

Zhu, En Kuan On irrational lines in ancient Greece—an analysis of the tenth book of 
Euclid’s Elements. (Chinese. English summary) 


Items listed otherwise than by author 
Bibliography: 
Archimedes see Dijksterhuis, E. J., 92g:01011 
Biography: 
Archimedes see Dijksterhuis, E. J., 92g:01011 
Mathematics and metaphysics in Aristotle * Mathematik und Metaphysik bei Aristoteles. 
[Mathematics and metaphysics in Aristotle] 92c:01010 
Mathematik und Metaphysik bei Aristoteles * Mathematik und Metaphysik bei Aristoteles. 
[Mathematics and metaphysics in Aristotle] 92c:01010 
Sigriswil * Mathematik und Metaphysik bei Aristoteles. [Mathematics and metaphysics in 
Aristotle] 92c:01010 
Symposium: 
Aristotle * Mathematik und Metaphysik bei Aristoteles. [Mathematics and metaphysics 
in Aristotle] 92c:01010 
Aristotle’s Metaphysics M(XII1) and N(XIV) * Mathematik und Metaphysik bei 
Aristoteles. [Mathematics and metaphysics in Aristotle] 92c:01010 


Items with secondary classifications in 01A20 


(‘Abd al-Rahman, Kamal Najib) see Rosenfeld, Boris A., 92f:01008 

Abraham, George Mean sun and moon in ancient Greek and Indian astronomy. 

Apollonius of Perga * Conics. Books V-VII. 92¢:01017 

(Archimedes) see Lorch, Richard, 92f:01007 

(Aristotle) see Bogen, James; Fine, Gail, (92c:01010) and Mueller, Ian, (92c:01010) 

Bauer, Friedrich L. Sternpolygone und Hyperwiirfel. [Starpolygons and hypercubes] 
92i:51001 

Bell, E.T. * The last problem. 92b:01005 

Bogen, James Aristotelian contraries. 

(Brahe, Tycho) see Moesgaard, Kristian Peder, 92g:01023 

(Cassini, Jean-Dominique) see Swerdlow, Noel M., 92e:01034 

Caveing, Maurice Les traductions latines médiévales des Eléments d’Euclide: a propos de 
deux publications récentes. [Medieval Latin translations of Euclid’s Elements: on two 
recent publications] 

(Chalhoub, Sami) see Rosenfeld, Boris A., 92f:01008 

(Desargues, Girard) see Hogendijk, Jan P., 92h:01018 

(Dudley, Underwood) see Bell, E. T., 92b:01005 

(Ehrig-Eggert, Carl) see Yahya ibn ‘Adi, Aba Zakariya’ 

(Euclid) see Caveing, Maurice 

Fine, Gail Forms as causes: Plato and Aristotle. (see 92c:01010) 

Fomenko, A. T. see Kalashnikov, V. V.; et al., 92e:01006 and 92¢:01007 

Gericke, Helmuth * Mathematik im Abendland. (German) [Mathematics in the Occident] 
92g:01003 

Han, Xiang Lin see Shen, Kang Shen; et al., 92j:01009 

Hogendijk, Jan P. Desargues’ Brouillon project and the Conics of Apollonius. 92h:01018 

Heyrup, Jens Dynamis, the Babylonians, and Theaetetus 147c7—148d7. (French and 
German summaries) 92c:01007a 

— Erratum: “Dynamis, the Babylonians, and Theaetetus 147c7-148d7”. 92c:01007b 

Jaouiche, K. L’analyse et la synthése dans les mathématiques arabo-islamiques. Le livre 
d’Ibn al-Haytham. [Analysis and synthesis in Arabo-Islamic mathematics. The book of 
ibn al-Haytham] 92k:01004 

Jones, Alexander Babylonian and Greek astronomy in a papyrus concerning Mars. 
92g:01010 

Kalashnikov, V. V. (with Nosovskii, G. V.; Fomenko, A. T.) The geometry of moving 
constellations of stars and dating of the A/magest. (Russian) 92e:01006 

— (with Nosovskii, G. V.; Fomenko, A. T.) Statistical analysis of the star catalog A/magest. 
(Russian) 92e:01007 

Lamb, John F., Jr. Archimedes versus Gauss: the construction of a regular heptagon. (see 
92i:00029) 

Lear, Jonathan Active episteme. (see 92c:01010) 

(Lehmer, D. H.) see Bell, E. T., 92b:01005 








01A20 


Lorch, Richard Remarks on Greek mathematical texts in Arabic. (Arabic summary) (see 
92m:01002) 

— The Arabic transmission of Archimedes’ Sphere and cylinder and Eutocius’ commentary. 
(Arabic summary) 92f:01007 

Matvievskaya, G. P. * Ouepxu acTopuu Tpuronometpuu. (Russian) [An outline of the 
history of trigonometry] 92d:01003 

(Menelaus) see Yusupova, G. E., 92j:01012 

Moesgeard, Kristian Peder Tycho Brahe’s discovery of changes in star latitudes. 92g:01023 

Mueller, Ian Aristotle’s approach to the problem of principles in Metaphysics M and N. (see 
92c:01010) 

(Nastr al-Din al-Tast) see Yusupova, G. E., 92j:01012 

Nosovskii, G. V. see Kalashnikov, V. V.; et al., 92e:01006 and 92e:01007 

(Plato) see Fine, Gail, (92c:01010) 

(Ptolemy of Alexandria) see Tolmacheva, M. A. 

Rashed, Roshdi Problems of the transmission of Greek scientific thought into Arabic: 
examples from mathematics and optics. 92¢:01013 

Rosenfeld, Boris A. (with Yushkevich, A. P.) * Nazariyah al-khutdt al-mutawaziyah fi-al- 
masadir al-‘Arabiyah ma bayn al-qarnayn al-tasi’ wa-al-rabi’ ‘ashar. (Arabic) [The theory 
of parallels in the Arabic literature of the ninth to the fourteenth centuries] 92f:01008 

Rutten, Christian Métaphysique M et N. Essai de chronologie relative. [Metaphysics M and 
N: an attempt at a relative chronology] (see 92c:01010) 

Shen, Kang Shen (with Xie, Ting Fan; Han, Xiang Lin) A modern analysis of division of a 
circle. (Chinese. English summary) 92j:01009 

Swerdlow, Noel M. Astronomical chronology and prophecy: Jean-Dominique Cassini’s 
discovery of Josephus’s great lunisolar period of the Patriarchs. 92e:01034 

Tolmacheva, M. A. Ptolemy’s East Africa in early medieval Arab geography. (Arabic 
summary) 

(Toomer, G. J.) see Apollonius of Perga, 92e:01017 

Xie, Ting Fan see Shen, Kang Shen; et al., 92j:01009 

Yahya ibn ‘Adi, Aba Zakartya’ On the proof of the nature of the possible. (Arabic) 

(al-Yazdi, Muhammad Bagir) see Yusupova, G. E., 92j:01012 

Yushkevich, A. P. see Rosenfeld, Boris A., 92f:01008 

Yusupova, G. E. Commentaries to Menelaus’ Spherics by al-Tasi and al-Yazdi. (Russian. 
Uzbek summary) 92j:01012 


Items listed otherwise than by author 


Biography: 
Apollonius of Perga see Apollonius of Perga, 92e:01017 


01A25 China 


Chemla, Karine Du parallélisme entre énoncés mathématiques. Analyse d’un formulaire 
rédigé en Chine au XIIle siécle. (English summary) [The parallelism of mathematical 
statements: analysis of a document written in China in the 13th century] 92¢:01016 

— Theoretical aspects of the Chinese algorithmic tradition (first to third century). 92i:01008 

Fu, Dai Wie Why did Liu Hui fail to derive the volume of a sphere? (German and Chinese 
summaries) 92j:01005 

Guo, Shu Chun Guo Shuchun’s edition of the Jiuzhang Suanshu (Nine chapters on the 
mathematical art). 

Han, Xiang Lin see Shen, Kang Shen; et al., 92j:01009 

(Hua, Heng Fang) see Ji, Zhi Gang; et al. 

Jami, Catherine Classification en mathématiques: la structure de l’encyclopédie Yuzhi shuli 
Jingyun (1723). (English summary) [Classification in mathematics: the structure of the 
encyclopedia Yuzhi shuli jingyun (1723)] 92j:01006 

— Scholars and mathematical knowledge during the late Ming and early Qing. 92d:01005 

Ji, Zhi Gang (with Hua, Heng Fang) The ideas of the matrix method in Heng Fang Hua’s 
Jijiaoshu. (Chinese. English summary) 

Kong, Guo Ping Zi Mo’s thinking about mathematics. (Chinese. English summary) 
92a:01019 

Lao, Han Sheng A research report on the history of mathematics education during the Yuan 
dynasty. (Chinese. English summary) 

Li, Ji Min A textual criticism on the “art of milii” in ring measurement in Nine chapters on 
arithmetic. (Chinese. English summary) 92k:01002 

(Li, Shan Lan) see Li, Zhao Hua; et al., 92b:01011 

Li, Zhao Hua (with Li, Shan Lan) A study of the mathematical works of Li Shan Lan. 
92b:01011 

— (with Wang, Lai) Wang Lai’s research on number systems of variable base. 92b:01012 

(Liu, Hui) see Yang, Shu Chun, 92f:01005 and Fu, Dai Wie, 92j:01005 

Maiti, N. L. Some salient features of Chinese mathematics. 92j:01007 

(Mo, Zi) see Kong, Guo Ping, 92a:01019 

Nakayama, Shigeru The position of the Futian calendar on the history of East-West 
intercourse of astronomy. (see 92m:01003) 

Niu, Ya Hua (with Xiang, Ming Da) A study on Ming Da Xiang’s method of evaluating the 
circumference of an ellipse. (Chinese. English summary) 92j:01008 

Quan, He Jun Research on scale and precision of the water clock in ancient China. (see 
92m:01003) 

Shen, Kang Shen (with Xie, Ting Fan; Han, Xiang Lin) A modern analysis of division of a 
circle. (Chinese. English summary) 92j:01009 

(Wang, Lai) see Li, Zhao Hua; et al., 92b:01012 

Xi, Ze Zong The characteristics of ancient China’s astronomy. (see 92m:01003) 

(Xiang, Ming Da) see Niu, Ya Hua; et al., 92j:01008 

Xie, Ting Fan see Shen, Kang Shen; et al., 92j:01009 

Yabuuchi, Kiyoshi The influence of Islamic astronomy in China. (see 92b:01015) 

(Yang, Hui!) see Zhou, Dong Ming, 92d:01006 

Yang, Shu Chun “Ratio” and “power” in Hui Liu’s commentary on the Jiu zhang suan shu 
(Arithmetic in nine chapters). (Chinese. English summary) 92f:01005 

Yano, Michio The Hsiu-yao ching and its Sanskrit sources. (see 92m:01003) 

Zhou, Dong Ming A syllabus of mathematics and Hui Yang’s methodology of teaching 
mathematics. (Chinese. English summary) 924:01006 

(Za, Geng) see Fu, Dai Wie, 92j:01005 


HISTORY AND BIOGRAPHY 


Items with secondary classifications in 01A25 


Chern, Shiing Shen How to make China a mathematically advanced country? (Chinese) 

Gong, Yao Nan Methodology in computational mechanics and its development in China. 
(see 92i:00013) 

Guan, Mei Gu Graph theory in China. 92e:05118 

Han, Xiang Lin see Zhang, Su Liang; et al., 92c:01026 

Horiuchi, Annick Sur un point de rupture entre les traditions chinoise et japonaise des 
mathématiques. (English summary) [A point of divergence between the Chinese and 
Japanese mathematical traditions] 92j:01010 

Hu, Guo Ding (with Zhang, Zhao Zhi; Shen, Shi Yi) The study and development of 
probability problems in information theory in China. (see 92g:60003) 

(Li, Shan Lan) see Zhang, Su Liang; et al., 92c:01026 

Shen, Shi Yi see Hu, Guo Ding; et al., (92g:60003) 

(Wang, Yuan') see Yuan, Xiang Dong; et al. 

Yuan, Xiang Dong (with Wang, Yuan') An interview with Professor Yuan Wang. (Chinese) 

Zhang, Su Liang (with Han, Xiang Lin) A comparison of Shan Lan Li’s and Newton’s early 
thinking on calculus. (Chinese. English summary) 92¢:01026 

Zhang, Zhao Zhi see Hu, Guo Ding; et al., (92g:60003) 


Items listed otherwise than by author 


Problemes d’histoire des sciences en Chine * Problémes d’histoire des sciences en Chine. I. 
(French) [Problems of the history of science in China. I] 92i:01002 

Problems of the history of science in China * Problémes d’histoire des sciences en Chine. I. 
(French) [Problems of the history of science in China. I] 92i:01002 


01A27 Japan 


Horiuchi, Annick Sur un point de rupture entre les traditions chinoise et japonaise des 
mathématiques. (English summary) [A point of divergence between the Chinese and 
Japanese mathematical traditions] 92j:01010 

Kawaguchi, Toshiro A study of Kyuritsu. Mathematical and scientific considerations of 
astronomical phenomena. (Japanese) 92i:01009 

Martzloff, Jean-Claude A survey of Japanese publications on the history of Japanese 
traditional mathematics (wasan) from the last 30 years. 92a:01020 


Items with secondary classifications in 01A27 

Han, Xiang Lin see Shen, Kang Shen; et al., 92j:01009 

Komatsu, Hikosaburo Operational calculus and Japan. 92a:01053 

Shen, Kang Shen (with Xie, Ting Fan; Han, Xiang Lin) A modern analysis of division of a 
circle. (Chinese. English summary) 92j:01009 

Xie, Ting Fan see Shen, Kang Shen; et al., 92j:01009 


01A30 Islam (Medieval) 


Aballagh, M. Les fondements des mathématiques a travers le Raf< al-Hijab d’Tbn al-Banna 
(1256-1321). [The foundations of mathematics through the Raf al-Hijab of Ibn al-Banna 
(1256-1321)] (see 92b:01002) 

(‘Abd al-Mun‘im al-‘Amili) see Ansari, S. M. Razaullah, (92m:01003) 

(‘Abd al-Rahman, Kamal Najib) see Rosenfeld, Boris A., 92f:01008 

Abdeljaouad, Mahdi (with Hadfi, Hamida) Vers une étude des aspects historiques et 
mathématiques des problémes ouverts d’Ibn al-Khawwam (XIII* s.). [Toward a study of 
the historical and mathematical aspects of the open problems posed by Ibn al-Khawwam 
(XIIIth century)] 92f:01006 

(Abi Bakr) see Hogendijk, Jan P., 92h:01005 

ai-Andalus!, Sa‘id * Science in the medieval world. 92m:01013 

Ansari, S. M. Razaullah (with Khan Ghori, S. A.) Two treatises on astronomical instru- 
ments by ‘Abd al-Mun‘im al-‘Amili & Qasim ‘Ali al-Qayini. (see 92m:01003) 

Apollonius of Perga * Conics. Books V-VII. 92e:01017 

(Archimedes) see Lorch, Richard, 92f:01007 

(Asimov, M.S.) see Ibn Sina, Aba ‘Ali al-Husayn ibn ‘Abdallah, 92a:01021 

Atagarryev, M. A. Outstanding Central Asian 12th century scientist Abd al-Jabbar al- 
Haraki. (Russian. English summary) 92b:01013 

Bebbouchi, Rachid see Taleb, K., (92b:01002) 

Bektenov, M. B. Optics of atmospheric and astronomic phenomena in the works of ibn al- 
Haytham. (Russian) 

Berggren, J. Lennart Spherical trigonometry in Kashyar ibn Labban’s Jami‘ Zij. (see 
92b:01015) 

(al-Birant, Aba’l-Rayhan Muhammad ibn Ahmad) see Vakhabov, S. A., 92f:01009 and Khan, 
M. S., (92m:01003) 

Brentjes, Sonja Sur quelques travaux mathématiques d’ibn Fallis. [On some mathematical 
works of ibn Fallis] 92j:01011 

— Eine Tabelle mit vollkommenen Zahlen in einer arabischen Handschrift aus dem 13. 
Jahrhundert. [A table with perfect numbers in an Arabic manuscript from the 13th 
century] 924:01007 

(Carreras y Artau, Joaquin) see Millas Vallicrosa, José Ma., 92a:01023a 

(Carreras y Artau, Tomas) see Millds Vallicrosa, José Ma., 92a:01023a 

(Chalhoub, Sami) see Rosenfeld, Boris A., 92f:01008 

Chen, Mei Dong A study of some astronomical data in Muslim calendar. (see 92m:01003) 

Crossley, John N. (with Henry, Alan S.) Thus spake al-Khwarizmi: a translation of the text 
of Cambridge University Library ms. Ii.vi.5. (French and German summaries) 92b:01014 

Debarnot, Marie-Thérése The Zij of Habash al-Hasib: a survey of MS Istanbul Yeni Cami 
784/2. (see 92b:01015) 

(Dinorshoev, M.) see Ibn Sina, Aba ‘Alt al-Husayn ibn ‘Abdallah, 92a:01021 

Djebbar, A. Quelques aspects de l’algébre dans la tradition mathématique arabe de 
l’Occident musulman. [Some aspects of algebra in the Arab mathematical tradition of the 
Moslem West] 92g:01014 

Dold-Samplonius, Yvonne Developments in the solution to the equation cx? + bx =a from 
al-Khwarizmi to Fibonacci. (see 92b:01015) 

(Ehrig-Eggert, Carl) see Yahya ibn ‘Adi, Abi Zakariya’ 

(ibn Fallas, Isma‘il b. Ibrahim) see Brentjes, Sonja, 92j:01011 





29 1992 


Federici Vescovini, Graziella La fortune de l’optique d’ibn al-Haitham: le livre De aspectibus 
(Kitab al-Manazir) dans le moyen-age latin. [The fate of ibn al-Haytham’s optics: the 
book De aspectibus (Kitab al-Manazir) in the Latin Middle Ages] 92k:01003 

(Fedoseev, P.N.) see Ibn Sina, Aba ‘All al-Husayn ibn ‘Abdallah, 92a:01021 

Firneis, Maria G. A Moorish astrolabe from Granada. (see 92m:01003) 

Goldstein, Bernard R. Remarks on Ptolemy’s equant model in Islamic astronomy [in 
Prismata, 165-181, Steiner, Wiesbaden, 1977]. (see 92a:01016) 

— Ibn Mu‘adh’s Treatise on twilight and the height of the atmosphere [Arch. History Exact 
Sci. 17 (1977), no. 2, 97-118]. (see 92a:01016) 

Guergour, Y. Un mathématicien du Maghreb: Ibn Qunfudh al-Qasantini (740-809/ 1339- 
1406). [A mathematician of the Maghreb: Ibn Qunfudh al-Qasantini (740-809 /1339- 
1406)] (see 92b:01002) 

Hadfi, Hamida Thabit ibn Qurra’s al-Mafradat. (Arabic) (see 92m:01002) 

— see also Abdeljaouad, Mahdi, 92£:01006 

Hamadanizadeh, Javad A survey of medieval Islamic interpolation schemes. (see 
92b:01015) 

— Nasir ad-Din on determination of the declination function. (see 92m:01003) 

(al-Haraki, Abd al-Jabbar) see Atagarryev, M. A., 92b:01013 

(ibn al-Haytham, Hasan) see Kennedy, E. S., 92i:01010; Federici Vescovini, Graziella, 
92k:01003; Langermann, Y. Tzvi, 92k:01005 and Bektenov, M. B. 

(al-Haytham, Ibn) see Mancha, J. L., 92h:01006 

Henry, Alan S. see Crossley, John N., 92b:01014 

Hernandez Suarez, Victor see Morales Gonzalez, Agustin; et al., (92b:00044) 

Hidayati, Nasrullah The role and influence of Eastern mathematics on the advancement of 
the mathematics of European nations. (Persian) (see 92m:00055) 

Hogendijk, Jan P. Abu’l-Jad’s answer to a question of al-Birani concerning the regular 
heptagon. (see 92b:01015) 

— Le roi-géométre al-Mu’taman ibn Had et son livre de la perfection (Kitab al-Istikmal). 
[The geometer-king al-Mu’taman ibn Had and his book on perfection (Kitab al-Istikmal)} 
92c:01011 

— A medieval Arabic treatise on mensuration by Qadi Abd Bakr. (Arabic summary) 
92h:01005 

— al-Khwarizmi’s table of the “sine of the hours” and the underlying sine table. 92e:01018 

Ibadov, Dzh. Kh. see Matvievskaya, G. P., 92g:01015 

(Ibn al-A ‘lam, ‘Alibi al-Husayn aba al-Qasim al-‘Alawi) see Mercier, Raymond, 92a:01022 
and Tihon, Anne, 92c:01014 

(Ibn al-Khawwam, ‘Abdallah) see Abdeljaouad, Mahdi, 92f:01006 

Ibn al-Qass_ Ibn al-Qass’s book: Reasons for the orientation of Mecca. Part 3. (Arabic) 

(Ibn Mu‘adh al-Jayyani, Aba) see Goldstein, Bernard R., (92a:01016) 

(Ibn Qunfudh al-QasantinI) see Guergour, Y., (92b:01002) 

Ibn Rabr‘ah, Yasif Mechanical engineering in the Arab mathematical tradition. (Arabic) 
(see 92m:01002) 

(Ibn Sahl, Aba Sa‘d al-‘Ala’) see Rashed, Roshdi, 92d:01008 

Ibn Sina, Aba ‘All al-Husayn ibn ‘Abdallah * M36pannpie bunocodcKue npousBeseHHA. 
(Russian) [Selected philosophical works] 92a:01021 

Jaouiche, K. L’analyse et la synthése dans les mathématiques arabo-islamiques. Le livre 
d’Tbn al-Haytham. [Analysis and synthesis in Arabo-Islamic mathematics. The book of 
ibn al-Haytham] 92k:01004 

Kennedy, E.S. ibn al-Haytham’s determination of the meridian from one solar altitude. 
(Arabic summary) 92i:01010 

— al-Safi on the celestial globe. (Arabic summary) 92m:01014 

— Two topics from an astrological manuscript: Sindhind days and planetary latitudes. 
(Arabic summary) 92i:01011 

— see also From deferent to equant, 92b:01015 

Khan, M.S. An examination of al-Birini’s knowledge of Indian astronomy. (see 
92m:01003) 

Khan Ghori, S. A. see Ansari, S. M. Razaullah, (92m:01003) 

(al-Khwarizmi, Muhammad ibn Misa) see Crossley, John N., 92b:01014 and Hogendijk, Jan 
P., 92e:01018 

King, David Anthony Some early Islamic tables for determining lunar crescent visibility. 
(see 92b:01015) 

— see also From deferent to equant, 92b:01015 

(Kumar, Alok?) see al-Andalust, Sa‘id, 92m:01013 

Kunitzsch, Paul al-Khwarizmi as a source for the Sententie astrolabii. (see 92b:01015) 

— al-Sofi and the astrolabe stars. (Arabic summary) 

(Kashyar ibn Labban ibn Bashahri al-Jtli, Ab’l-Hasan) see Yano, Michio, 92d:01009 

Langermann, Y. Tzvi Bibliographical notes on Islamic astronomy, the results of a study of 
the exact sciences among the Jews of Yemen. (see 92m:01003) 

— * ibn al-Haytham’s On the configuration of the world. 92k:01005 

Lorch, Richard Remarks on Greek mathematical texts in Arabic. (Arabic summary) (see 
92m:01002) 

— al-Saghani’s treatise on projecting the sphere. (see 92b:01015) 

— The Arabic transmission of Archimedes’ Sphere and cylinder and Eutocius’ commentary. 
(Arabic summary) 92f:01007 

Mancha, J. L. Ibn al-Haytham’s homocentric epicycles in Latin astronomical texts of the 
XIVth and XVth centuries. 92h:01006 

Martel Moreno, José see Morales Gonzalez, Agustin; et al., (92b:00044) 

Matvievskaya, G. P. The theory of quadratic irrationals in medieval oriental mathematics. 
(see 92b:01015) 

— (with Ibadov, Dzh. Kh.) Physical h ical sciences in the encyclopedia Keys of the 
sciences of Abt ‘Abdallah al-Khuwarizmi. (Russian. Uzbek summary) 92g:01015 

Medvedev, F. A. Horn-shaped angles in al-Shirazi Qutb al-Din’s Commentaries. (Russian. 
English summary) 92¢:01019 

(Menelaus) see Yusupova, G. E., 92j:01012 

Mercier, Raymond The parameters of the Zij of Ibn al-A‘lam. 92a:01022 

Millds Vallicrosa, José Ma. * Estudios sobre historia de la ciencia espaiiola. Vol. I. 
(Spanish) [Studies on the history of Spanish science. Vol. 1] 92a:01023a 

— * Nuevos estudios sobre historia de la ciencia espafiola. Vol. II. (Spanish) [New studies 
on the history of Spanish science. Vol. II] 92a:01023b 

Morales Gonzalez, Agustin (with Martel Moreno, José; Hernandez Suarez, Victor) On 





01A History of mathematics and mathematicians 


01A30 


some contributions of Tabit ibn Qurra to mathematics. (Spanish. English summary) (see 
92b:00044) 

Miiller, Wolfgang' Geometrische Ornamente in der islamischen Kunst. [Geometric 
ornaments in Islamic art] 92h:01007 

(al-Mu’taman ibn Had, Yasuf) see Hogendijk, Jan P., 92c:01011 

(Nasir al-Din al-Tast) see Yusupova, G. E., 92j:01012 and Hamadanizadeh, Javad, 
(92m:01003) 

(Ptolemy of Alexandria) see Tolmacheva, M. A. 

Qadir, C. A. * Philosophy and science in the Islamic world. 

(Qasim ‘All al-Qayinl) see Ansari, S. M. Razaullah, (92m:01003) 

Ragep, F. Jamil The two versions of the Tisi couple. (see 92b:01015) 

Rashed, Roshdi Problems of the transmission of Greek scientific thought into Arabic: 
examples from mathematics and optics. 92c:01013 

— A pioneer in anaclastics: Ibn Sahl on burning mirrors and lenses. 924:01008 

Richter-Bernburg, Lutz Sa‘id, the Toledan tables, and Andalusi science. (see 92b:01015) 

Rosenfeld, Boris A. (with Yushkevich, A. P.) * Nazariyah al-khutat al-mutawaziyah fi-al- 
masadir al-‘Arabiyah ma bayn al-qarnayn al-tasi’ wa-al-rabi’ ‘ashar. (Arabic) [The theory 
of parallels in the Arabic literature of the ninth to the fourteenth centuries] 92f:01008 

Rozhanskaya, M. M. On a mathematical problem in al-Khazini’s Book of the balance of 
wisdom. (see 92b:01015) 

Sadallah, Abu l-Qasim Quelques pratiques scientifiques en Algérie a l’époque du retard 
scientifique (XV°-XVIII* s.). [Some scientific practices in Algeria during the period of 
scientific backwardness (X Vth-X VIIIth centuries)} (see 92b:01002) 

Sa‘idan, Ahmad Salim The Takmila fi'l-Hisab of al-Baghdadi. (see 92b:01015) 

(Salem, Sema‘an I.) see al-Andalust, Sa‘id, 92m:01013 

(Saliba, George) see From deferent to equant, 92b:01015 

Samsé6, Julio On the solar model and the precession of the equinoxes in the Alphonsine zij 
and its Arabic sources. (see 92m:01003) 

(Sawyer, Frederick W., III) see Goldstein, Bernard R., (92a:01016) 

Sesiano, Jacques A treatise by al-Qabisi (Alchabitius) on arithmetical series. (see 
92b:01015) 

— Two problems of number theory in Islamic times. 92g:01016 

(Sezgin, Fuat) see Ibn al-Qass 

(al-Shirazt Qutb al-Din) see Medvedev, F. A., 92e:01019 

(al-Safi, Abu’l-Husayn ‘Abd al-Rahman ibn ‘Umar) see Kennedy, E. S., 92m:01014 and 
Kunitzsch, Paul 

Sulayman Kan, ‘Abdullah Arabic alphabetical numerics and the decimalization of West 
African numeric systems. (Arabic) (see 92m:01002) 

Suwisl, Muhammad L’école mathématique maghrébine: quelques exemples de ses travaux et 
certaines de ses particularités. [The mathematical school of the Maghreb: examples of its 
works and some of its characteristics] 92h:01008 

Swerdlow, Noel M. Jabir ibn Aflah’s interesting method for finding the eccentricities and 
direction of the apsidal line of a superior planet. (see 92b:01015) 

Taleb, K. (with Bebbouchi, Rachid) Les infiniment grands de Thabit Ibn Qurra. [The 
infinite numbers of Thabit Ibn Qurra] (see 92b:01002) 

(Thabit ibn Qurra al-Harrani) see Morales Gonzalez, Agustin; et al., (92b:00044) 

Tihon, Anne Sur l’identité de l’astronome Alim. [On the identity of the astronomer Alim] 
92c:01014 

Tolmacheva, M. A. Ptolemy’s East Africa in early medieval Arab geography. (Arabic 
summary) 

Toomer, G. J. The solar theory of az-Zarqal: an epilogue. (see 92b:01015) 

— see also Apollonius of Perga, 92e:01017 

Vakhabov, S. A. Projective transformations in al-Birdni’s treatise on astrolabes. (Russian) 
92f:01009 

Varisco, Daniel Martin The anwa’ stars according to Abd Ishaq al-Zajjaj. (Arabic summary) 

— The origin of the anwa’in Arab tradition. On the distinction between science and folklore. 

(Vernet Ginés, Juan) see Millds Vallicrosa, José Ma., 92a:01023a 

Viladrich, Merce see Yano, Michio, 924:01009 

Yahya ibn ‘Adi, Aba Zakartya’ On the proof of the nature of the possible. (Arabic) 

Yano, Michio (with Viladrich, Merce) Tasyir computation of Kishyar ibn Labban. 
92d:01009 

(al-Yazdi, Muhammad Bagir) see Yusupova, G. E., 92j:01012 

Yushkevich, A. P. see Rosenfeld, Boris A., 92f:01008 

Yusupova, G. E. Commentaries to Menelaus’ Spherics by al-Tasi and al-Yazdi. (Russian. 
Uzbek summary) 92j:01012 

(al-Zajjaj, Aba Ishaq) see Varisco, Daniel Martin 

Zemouli, T. Le poéme d’Ibn al-Yasamin sur les nombres irrationnels quadratiques. [The 
poem of Ibn al-Yasamin on quadratic irrational numbers] (see 92b:01002) 





Items listed otherwise than by author 
Biography: 
al-Andalust, Sa‘id_ see al-Andalusi, Sa‘id, 92m:01013 
Apollonius of Perga see Apollonius of Perga, 92e:01017 
Ibn Qunfudh al-QasantiniI see Guergour, Y., (92b:01002) 
Ibn Sina, Aba ‘Alt al-Husayn ibn ‘Abdallah see Ibn Sina, Abo ‘All al-Husayn ibn 
‘Abdallah, 92a:01021 
From deferent to equant * From deferent to equant. 92b:01015 


Items with secondary classifications in 01A30 

Fomenko, A. T. (with Kalashnikov, V. V.; Nosovskii, G. V.) When was Ptolemy’s star 
catalogue in A/magest compiled in reality? Statistical analysis. 92e:01013 

Goldstein, Bernard R. * Theory and observation in ancient and medieval astronomy. 
92a:01016 

Heyrup, Jens On parts of parts and ascending continued fractions. An investigation of the 
origins and spread of a peculiar system. 92j:01001 

Kalashnikov, V. V. see Fomenko, A. T.; et al., 92e:01013 

Lévy, Tony L’étude des sections coniques dans la tradition médiévale hébraique. Ses 
relations avec les traditions arabe et latine. (English summary) [The study of conics in 
medieval! Jewish tradition and its relations with the Arab and Latin traditions] 92k:01009 














01A30 


Matvievskaya, G. P. * Ouepxa ucropuu Tpxronometpuu. (Russian) [An outline of the 
history of trigonometry] 92d:01003 

Nosovskii, G. V. see Fomenko, A. T.; et al., 92e:01013 

Pingree, David Indian and Islamic astronomy at Jayasimha’s court. (see 92b:01015) 

Sesiano, Jacques Le Liber mahameleth, un traité mathématique latin composé au XII* siécle 
en Espagne. [The Liber mahameleth, a Latin mathematical treatise written in Spain in the 
twelfth century] 92f:01014 

Tekeli, Sevim Trigonometry in two sixteenth-century works; the De revolutionibus orbium 
coelestium and the Sidra al-Muntak2. (see 92m:01003) 

Yabuuchi, Kiyoshi The influence of Islamic astronomy in China. (see 92b:01015) 


Items listed otherwise than by author 


Algiers * Histoire des mathématiques arabes. (French) [History of Arab mathematics] 
92b:01002 
Colloquium: 

History of Arab Mathematics * Deuxiéme Colloque Maghrebin sur I’Histoire des 
Mathématiques Arabes. (Arabic) [Second Maghreb Colloquium on the History of Arab 
Mathematics] 92m:01002 

— * Histoire des mathématiques arabes. (French) [History of Arab mathematics] 
92b:01002 

Histoire des mathématiques arabes * Histoire des mathématiques arabes. (French) [History 
of Arab mathematics] 92b:01002 

History of Arab mathematics * Histoire des mathématiques arabes. (French) [History of 
Arab mathematics] 92b:01002 

Tunis * Deuxi¢me Colloque Maghrebin sur I’Histoire des Mathématiques Arabes. (Arabic) 
[Second Maghreb Colloquium on the History of Arab Mathematics] 92m:01002 


01A32 India 


Abraham, George Mean sun and moon in ancient Greek and Indian astronomy. 

Alsdorf, Ludwig The Pratyayas: Indian contribution to combinatorics. 92f:01010 

(Aryabhata I) see Gupta, Radha Charan, (92m:01003) 

Bag, A. K. Ritual geometry in India and its parallelism in other cultural areas. 92d:01010 

Bandyopadhyay, Amalendu (with Bhatnagar, Ashok Kumar) System of astronomical 
constants in Hindu astronomy. (see 92m:01003) 

(Bhaskara I) see Chaudhary, Bishwanath, 92¢e:01020 

(Bhaskara II) see Pathan, M. A., 92e:01024 

Bhatnagar, Ashok Kumar see Bandyopadhyay, Amalendu, (92m:01003) 

Chakravarty, Apurba Kumar The asterisms. (see 92m:01003) 

Chatterjee, S. K. Indian calendars. (see 92m:01003) 

Chaudhary, Bishwanath (with Jha, Parmeshwar) Studies of Bhaskara’s works in Mithila. 
92e:01020 

Chowdhury, M.R. The Apurba Chandra Datta collection. 92e:01021 

(Datta, Apurba Chandra) see Chowdhury, M. R., 92e:01021 

Ganitanand The laksa scale of the Valmiki Ramayana and Rama’s army. 92d:01011 

— A few remarks concerning certain values of z in ancient India. 92e:01022 

Gold, David (with Pingree, David) A hitherto unknown Sanskrit work concerning 
Madhava’s derivation of the power series for sine and cosine. 92h:01009 

Gupta, Radha Charan Madhava’s rule for finding angle between the ecliptic and the horizon 
and Aryabhata’s knowledge of it. (see 92m:01003) 

— The value of z in the Mahabharata. 92e:01023 

— The chronic problem of ancient Indian chronology. 92g:01017 

— An ancient approximate rule for the area of a polygon. 92i:01012 

— On the volume of a sphere in ancient India. 92h:01010 

Hardikar, T. B. * Indeterminate analysis. 92m:01015 

Hariharan, Subramanian see Sarma, K. V., 92f:01011 

Hayashi, Takao (with Kusuba, Takanori; Yano, Michio) Indian values for 2 derived from 
Aryabhata’s value. 92a:01024 

— (with Kusuba, Takanori; Yano, Michio) The correction of the Madhava series for the 
circumference of a circle. 92j:01013 

— Anew Indian rule for the squaring of a circle: Manavasulbasutra 3.2.9-10. 92k:01006 

— The PaficavimSatika in its two recensions: a study in the reformation of a medieval 
Sanskrit mathematical textbook. 92j:01014 

Jain, Km. Meena see Jain, L. C., 92b:01016 

Jain, L.C. (with Jain, Km. Meena) System theory in Jaina school of mathematics. II. 
92b:01016 

Sha, Mritunjay see Jha, S. K., 92g:01018 

Jha, Parmeshwar see Chaudhary, Bishwanath, 92e:01020 

Jha, S.K. (with Jha, Mritunjay) A study of the value of Pi (z) known to ancient Hindu & 
Jaina mathematicians. 92g:01018 

(Jyesthadeva) see Sarma, K. V., 92f:01011 

Khodzhiev, I. Ataullakh Lokhuri’s treatise, Quintessence of ideas. (Russian. Tajiki summary) 
92j:01015 

Kusuba, Takanori see Hayashi, Takao; et al., 92a:01024 and 92j:01013 

Lal, B. B. Vedic mathematics—mathematical calculations based on the Vedic sitras and on 
the Lilavati. 92b:01017 

(Madhava) see Gold, David, 92h:01009 and Gupta, Radha Charan, (92m:01003) 

Mercier, Raymond The meridians of reference of Indian astronomical canons. (see 
92m:01003) 

(Nadir, Atau’llah Rashid 1 B. Ahmad) see Khodzhiev, I., 92j:01015 

(Naralikar, Mangala J.) see Hardikar, T. B., 92m:01015 

Ohashi, Yukio A note on some Sanskrit manuscripts on astronomical instruments. (see 
92m:01003) 

Pathan, M.A. Lilavati. 92e:01024 

Pingree, David Indian and Islamic astronomy at Jayasimha’s court. (see 92b:01015) 

— see also Gold, David, 92h:01009 

Prakash Sarasvati, Svami Satya * Geometry in ancient India. 92e:01025 

Raghavan, K. On Vedic multiplication. 92g:01019 

(Railkar, M.R.) see Hardikar, T. B., 92m:01015 

Sarkar, Ramatosh Vedic literature vis-a-vis mathematical astronomy. (see 92m:01003) 


HISTORY AND BIOGRAPHY 





1992 30 


Sarma, K. V. Revision of yugas and yuga-constants in Indian astronomy. (see 92m:01003) 

— (with Hariharan, Subramanian) Yuktibhasa of Jyesthadeva: a book of rationales in 
Indian mathematics and astronomy—an analytical appraisal. 92f:01011 

(Sarma, Sreeramula Rajeswar) see Alsdorf, Ludwig, 92f:01010 

Sen, S. N. Planetary theories in Sanskrit astronomical texts. (see 92m:01003) 

Sharma, Virendra Nath Astronomical efforts of Sawai Jai Singh—a review. (see 92m:01003) 

Shukla, Kripa Shankar Main characteristics and achievements of ancient Indian astronomy 
in historical perspective. (see 92m:01003) 

— Vedic mathematics—the illusive title of Swamiji’s book. 92j:01016 

Simakov, M. Vedic altars and geometry of ancient India. 92h:01011 

(Singh, Sawai Jai) see Sharma, Virendra Nath, (92m:01003) 

(Swami Sankaracharya of Puri) see Shukla, Kripa Shankar, 92j:01016 

Yano, Michio see Hayashi, Takao; et al., 92a:01024 and 92j:01013 


Items with secondary classifications in 01A32 

(al-Birani, Aba’l-Rayhan Muhammad ibn Ahmad) see Khan, M. S., (92m:01003) 

(Dvivedi, Sudhakara) see Gupta, Radha Charan, 92g:01080 

Gupta, Radha Charan Sudhakara Dvivedi (1855-1910), historian of Indian astronomy and 
mathematics. 92g:01080 

Hayashi, Takao Nardyana’s rule for a segment of a circle. 92a:51020 

Hazra, Mrityunjoy Development of complex variables in India (a brief history). 

(Jain, L.C.) see Biography: Shukla, Kripa Shankar, 924:01069 

Kennedy, E.S. Two topics from an astrological manuscript: Sindhind days and planetary 
latitudes. (Arabic summary) 92i:01011 

Khan, M.S. An examination of al-Birani’s knowledge of Indian astronomy. (see 
92m:01003) 

Mehra, Anjani K. see Sharma, Virendra Nath, 92m:01026 

Narasimhan, Raghavan The coming of age of mathematics in India. 92j:01049 

Sharma, Virendra Nath (with Mehra, Anjani K.) Precision instruments of Sawai Jai Singh. 
92m:01026 

Shaw, J. L. Descriptions: contemporary philosophy and the Nyadya. 92e:03003 

(Shukla, Kripa Shankar) see Biography: Shukla, Kripa Shankar, 92d:01069 

(Singh, Sawai Jai) see Sharma, Virendra Nath, 92m:01026 

van der Waerden, Bartel Leendert The heliocentric system in Greek, Persian and Hindu 
astronomy. (see 92b:01015) 


Items listed otherwise than by author 
Bibliography: 
Jain, Laxmi Chandra Two great Indian scholars. 924:01069 
Shukla, Kripa Shankar Two great Indian scholars. 92d:01069 
Biography: 
Jain, Laxmi Chandra Two great Indian scholars. 924:01069 
Shukla, Kripa Shankar Two great Indian scholars. 92d:01069 


01A35 Medieval 


(Aba Ma‘shar, Ja‘far ibn Muhammad) see Laird, Edgar S., 92h:01013 

Archinard, Margarida The diagram of unequal hours. 92f:01012 

Bartolozzi, Margherita (with Franci, Raffaella) The theory of proportions in abacus 
mathematics from Leonardo Pisano to Luca Pacioli. (Italian) 92b:01018 

Bergmann, Werner Easter and the calendar. The mathematics of determining a formula for 
the Easter festival to Medieval computing. 92h:01012 

Blum, Paul Richard Erfahrung, Weltbild und Erkenntnis bei Nikolaus Cusanus. (English 
summary) [Experience, world view and recognition in Nicholas of Cusa] 

Burnett, Charles S. F. A new source for Dominicus Gundissalinus’s account of the science 
of the stars? 92f:01013 

Caveing, Maurice Les traductions latines médiévales des Elé: s d’Euclide: 4 propos de 
deux publications récentes. [Medieval Latin translations of Euclid’s Elements: on two 
recent publications] 

Chabas, José The astronomical tables of Jacob ben David Bonjorn. 92j:01017 

(ben David Bonjorn, Jacob) see Chabds, José, 92j:01017 

Dobrovol’skaya, E. M. The development of the study of continued fractions in the XI-XV 
centuries. (Russian) 92k:01007 

Dufour, Carlos A. * Die Lehre der proprietates terminorum. (German) [The theory of 
proprietates terminorum] 92b:01019 

(Euclid) see Caveing, Maurice 

(Fibonacci, Leonardo Pisano) see Horadam, Alwyn F., 92g:01020 

Folkerts, Menso Mathematische Texte in den westlichen Nationalsprachen im spaten 
Mittelalter. [Mathematical texts in the Western national languages of the late Middle 
Ages] 92e:01026 

Franci, Raffaella see Bartolozzi, Margherita, 92b:01018 

Gaidenko, V. P. (with Smirnov, G. A.) * 3anaqHoesponefickas HayKa B CpeqHHe Beka. 
(Russian) [Western European science in the Middle Ages] 92a:01025 

(ben Gerson, Levi) see Goldstein, Bernard R., (92a:01016) 

(Giles of Rome) see Trifogli, Cecilia, 92a:01026 

Goldstein, Bernard R. Planetary distances and sizes in an anonymous Arabic treatise 
preserved in Bodleian ms. Marsh 621 [Centaurus 15 (1970), no. 2, 135-170]. (see 
92a:01016) 

— Levi ben Gerson’s preliminary lunar model [Centaurus 18 (1974), no. 4, 275-288]. (see 
92a:01016) 

(Grosseteste, Robert) see Laird, Edgar S., 92h:01013 

Horadam, Alwyn F. Fibonacci’s mathematical letter to Master Theodorus. 92g:01020 

(John of London) see Knorr, Wilbur R., 92j:01018 

Kellner, Menachem On the status of the astronomy and physics in Maimonides’ Mishneh 
Torah and Guide of the perplexed: a chapter in the history of science. 92k:01008 

Knorr, Wilbur R. John of Tynemouth alias John of London: emerging portrait of a singular 
medieval mathematician. 92j:01018 

— Ona medieval circle quadrature: De circulo quadrando. (French and German summaries) 
92c:01015 

Laird, Edgar S. Robert Grosseteste, Albumasar, and medieval tidal theory. 92h:01013 





31 1992 01A 


Lévy, Tony L’étude des sections coniques dans la tradition médiévale hébraique. Ses 
relations avec les traditions arabe et latine. (English summary) [The study of conics in 
medieval Jewish tradition and its relations with the Arab and Latin traditions] 92k:01009 

Maier, Luigi The theory of proportions in the Quaestiones super geometriam Euclidis of 
Nicole Oresme. (Italian. English summary) 92j:01019 

(Maimonides) see Kellner, Menachem, 92k:01008 

(Master Theodorus) see Horadam, Alwyn F., 92g:01020 

McLean, I. The Borda and Condorcet principles: three medieval applications. 92c:01016 

(Nicholas of Cusa) see Blum, Paul Richard 

(Oresme, Nicole) see Maieri, Luigi, 92j:01019 

(Pacioli, Luca) see Bartolozzi, Margherita, 92b:01018 

(Pisano, Leonardo) see Bartolozzi, Margherita, 92b:01018 

Sesiano, Jacques Le Liber mahameleth, un traité mathématique latin composé au XII* siécle 
en Espagne. [The Liber mahameleth, a Latin mathematical treatise written in Spain in the 
twelfth century] 92f:01014 

Simonov, R. A. The ancient Russian abacus for recalculating natural value into money. 
(Russian) 92b:01020 

Smirnov, G. A. see Gaidenko, V. P., 92a:01025 

(Swerdlow, Noel M.) see Goldstein, Bernard R., (92a:01016) 

Trifogli, Cecilia Continuity and discontinuity of physical magnitudes in Giles of Rome. 
(Italian. English summary) 92a:01026 


Items listed otherwise than by author 
Biography: 
ben David Bonjorn, Jacob see Chabas, José, 92j:01017 


Items with secondary classifications in 01A35 

al-Andalust, Sa‘id % Science in the medieval world. 92m:01013 

Anellis, Irving H. Theology against logic: the origins of logic in old Russia. 92h:01015 

(Archimedes) see Lorch, Richard, 92f:01007 

(Ariew, Roger) see Pierre Duhem: historian and philosopher of science, 92f:01004a 

(Aristotle) see Lucchetta, Giulio A. 

(Barker, Peter) see Pierre Duhem: historian and philosopher of science, 92f:01004a 

(Carreras y Artau, Joaquin) see Mills Vallicrosa, José Ma., 92a:01023a 

(Carreras y Artau, Tomas) see Millas Vallicrosa, José Ma., 92a:01023a 

(Duhem, Pierre) see Pierre Duhem: historian and philosopher of science, 92f:01004a 

Federici Vescovini, Graziella La fortune de l’optique d’ibn al-Haitham: le livre De aspectibus 
(Kitab al-Manazir) dans le moyen-age latin. [The fate of ibn al-Haytham’s optics: the 
book De aspectibus (Kitab al-Manazir) in the Latin Middle Ages] 92k:01003 

Gericke, Helmuth * Mathematik im Abendland. (German) [Mathematics in the Occident] 
92g:01003 

Goldstein, Bernard R. * Theory and observation in ancient and medieval astronomy. 
92a:01016 

(ibn al-Haytham, Hasan) see Federici Vescovini, Graziella, 92k:01003 

(al-Haytham, Ibn) see Mancha, J. L., 92h:01006 

Hoyrup, Jens On parts of parts and ascending continued fractions. An investigation of the 
origins and spread of a peculiar system. 92j:01001 

Iwakuma, Yukio Instantiae: an introduction to a twelfth century technique of argumenta- 
tion. 92¢:03002 

Koecher, Max Castel del Monte und das Oktagon. [Castel del Monte and the octagon] 
92j:51029 

(Kumar, Alok?) see al-Andalust, Sa‘id, 92m:01013 

Langermann, Y. Tzvi Bibliographical notes on Islamic astronomy, the results of a study of 
the exact sciences among the Jews of Yemen. (see 92m:01003) 

Lorch, Richard The Arabic transmission of Archimedes’ Sphere and cylinder and Eutocius’ 
commentary. (Arabic summary) 92f:01007 

Lacchetta, Giulio A. The Commentaria and the transformation of Aristotelian cosmology: 
recent publications and new problems. (Italian) 

Mancha, J. L. Ibn al-Haytham’s homocentric epicycles in Latin astronomical texts of the 
XIVth and XVth centuries. 92h:01006 

Millas Vallicrosa, José Ma. * Estudios sobre historia de la ciencia espafiola. Vol. I. 
(Spanish) [Studies on the history of Spanish science. Vol. I] 92a:01023a 

— * Nuevos estudios sobre historia de la ciencia espafiola. Vol. II. (Spanish) [New studies 
on the history of Spanish science. Vol. II] 92a:01023b 

Moreno Armella, Luis Concerning the notions of number and variation. (Spanish) 
92i:01007 

Onstad, Torgeir The Fibonacci numbers. (Norwegian. English summary) 92d:11012 

(Salem, Sema‘an I.) see al-Andalust, Sa‘id, 92m:01013 

Sams6, Julio On the solar model and the precession of the equinoxes in the Alphonsine zij 
and its Arabic sources. (see 92m:01003) 

Schupp, Franz * Logical problems of the medieval theory of consequences. 92k:03001 

(Vernet Ginés, Juan) see Millds Vallicrosa, José Ma., 92a:01023a 

Willing, Anthony Buridan’s divided modal syllogistic. 92j:03016 


Items listed otherwise than by author 

Biography: 
al-Andalusi, Sa‘id_ see al-Andalusi, Sa‘id, 92m:01013 

Pierre Duhem: historian and philosopher of science * Pierre Duhem: historian and 
philosopher of science. Part I. 92f:01004a 


01A40 15th and 16th centuries, Renaissance 


(Archimedes) see Laird, W. R., 92m:01016 

(Brahe, Tycho) see Moesgaard, Kristian Peder, 92g:01023 

Calderén, Calixto P. Letter to the editor. 92¢:01028 

Capra, Luciano Two works on cosmography read by Tasso. (Italian) 92g:01021 

Clark, William Poetics for scientists: essay review of The poetic structure of the world (Zone, 
New York, 1990; MR 91m:0101 1] by F. Hallyn. 

(Clavius, Christoph) see Maier, Luigi, 92f:01015 and Knobloch, Eberhard, 92h:01014 

Copernicus, Nicolaus * Das neue Weltbild. (German) [The new world picture] 92c:01017 


History of mathematics and mathematicians 


01A45 


(Hallyn, Fernand) see Clark, William 

Knobloch, Eberhard Christoph Clavius. Ein Namen- und Schriftenverzeichnis zu seinen 
Opera mathematica. [Christoph Clavius. A name index and bibliography for his Opera 
mathematica] 92h:01014 

Laird, W.R. Archimedes among the humanists. 92m:01016 

Lerner, Michel-Pierre Le probléme de la matiére céleste aprés 1550: aspects de la bataille 
des cieux fluides. (English summary) [The problem of celestial matter after 1550: aspects 
of the debate over fluid heavens] 92g:01022 

Maieru, Luigi ...in Christophorum Clavium de contactu linearum Apologia: on the polemics 
between Peletier and Clavius concerning the angle of contingence (1579-1589). (Italian. 
English summary) 92f:01015 

Moesgaard, Kristian Peder Tycho Brahe’s discovery of changes in star latitudes. 92g:01023 

Molas, Cori (with Pérez, Juli) The birth of complex numbers. (Catalan) 92a:01027 

(Peletier, Jacques) see Maieri, Luigi, 92f:01015 

Pérez, Juli see Molas, Cori, 92a:01027 

(Rheticus, G. J.) see Copernicus, Nicolaus, 92c:01017 

Rositiska, Grazyna Tables of decimal trigonometric functions from ca. 1450 to ca. 1550. 
(see 92b:01015) 

(Tasso, Torquato) see Capra, Luciano, 92g:01021 

Tekeli, Sevim Trigonometry in two sixteenth-century works; the De revolutionibus orbium 
coelestium and the Sidra al-Muntaha. (see 92m:01003) 

Tondel, Janusz Die Provenienz des Thorner Exemplars der Ausgabe von Nicolaus 
Copernicus’ De revolutionibus (Niirnberg, 1543). [The origin of the Torun copy of 
Nicolaus Copernicus’ De revolutionibus (Nurenberg, 1543)] 92g:01024 

Verdet, Jean-Pierre La diffusion de l’héliocentrisme. (English summary) [The diffusion of 
heliocentrism] 92k:01010 

Westman, Robert S. Proof, poetics, and patronage: Copernicus’s preface to De revolution- 
ibus. 92g:01025 

(Zeki, Hans Ginter) see Copernicus, Nicolaus, 92c:01017 

Zall, Peter F. Letter to the editor. 92e:01027 


Items with secondary classifications in 01A40 

Anellis, Irving H. Theology against logic: the origins of logic in old Russia. 92h:01015 

Bauer, Friedrich L. Sternpolygone und Hyperwiirfel. [Starpolygons and hypercubes] 
92i:51001 

Bennett, James Arthur Geometry and surveying in early-seventeenth-century England. 
92h:01016 

(Bialas, Volker) see Kepler, Johannes, 92k:01047 

Blum, Paul Richard Erfahrung, Weltbild und Erkenntnis bei Nikolaus Cusanus. (English 
summary) [Experience, world view and recognition in Nicholas of Cusa] 

(Boockmann, Friederike) see Kepler, Johannes, 92k:01047 

Cekrlija, Boris The fifth postulate and Lobachevskii geometry in works of indigenous 
mathematicians. (Serbo-Croatian) 92d:01073 

Dauben, Joseph W. The art of Renaissance science: Galileo and perspective. 92j:01021 

(Diirer, Albrecht) see Singal, M. K. 

(Finocchiaro, Maurice A.) see Galileo affair, 92e:01035 

(Galilei, Galileo) see Galileo affair, 92e:01035 and Dauben, Joseph W., 92j:01021 

Gericke, Helmuth * Mathematik im Abendland. (German) [Mathematics in the Occident] 
92g:01003 

Kepler, Johannes * Gesammelte Werke. Band XX, 1. (Latin) [Collected works. Vol. XX, 1] 
92k:01047 

— see also Krafft, Fritz, 92m:01019 

Krafft, Fritz Erfahrung und Vorurteil im naturwissenschaftlichen Denken Johannes Keplers. 
(English summary) [Experience and preconception in the scientific thought of Johannes 
Kepler] 92m:01019 

MacDonnell, Joseph * Jesuit geometers. 92¢:01082 

(Nicholas of Cusa) see Blum, Paul Richard 

(Padberg, John W.) see MacDonnell, Joseph, 92e:01082 

(Ries, Adam) see WuBing, Hans, 92d:01061 

Singal, M. K. Albrecht Diirer and the computer. 

(Taton, René) see Planetary astronomy from the Renaissance to the rise of astrophysics, 
92c:01003 

(Wilson, Curtis) see Planetary astronomy from the Renaissance to the rise of astrophysics, 
92c:01003 

WuBing, Hans * Adam Ries. (German) 92d:01061 


Items listed otherwise than by author 
Biography: 
Ries, Adam see WuBing, Hans, 92d:01061 
Collected Works: 
Kepler, Johannes see Kepler, Johannes, 92k:01047 
Correspondence: 
Galilei, Galileo * The Galileo affair. 92¢:01035 
Galileo affair * The Galileo affair. 92e:01035 
Planetary astronomy from the Renaissance to the rise of astrophysics * Planetary astronomy 
from the Renaissance to the rise of astrophysics. Part A. 92c:01003 


01A45 17th century 


Aiton, Eric John The Cartesian vortex theory. (see 92c:01003) 

Andersen, Kirsti Desargues’ method of perspective: its mathematical content, its connection 
to other perspective methods and its relation to Desargues’ ideas on projective geometry. 
92k:01011 

Anellis, Irving H. Theology against logic: the origins of logic in old Russia. 92h:01015 

Baigrie, Brian S. The justification of Kepler’s ellipse. 92d:01012 

Basu, Prajit K. Newton’s physics in the context of his works on chemistry and alchemy. 
92g:01026 

Bedini, Silvio A. * The pulse of time. 92k:01012 

Bennett, James Arthur Magnetical philosophy and astronomy from Wilkins to Hooke. (see 
92c:01003) 





01A45 


— Geometry and surveying in early-seventeenth-century England. 92h:01016 

(Bernoulli, Jacob I) see Boswell, Terry, 924:01013 

(Bernoulli, Johann I) see Boswell, Terry, 924:01013 

Bertoloni Meli, Domenico Some aspects of the interaction between natural philosophy and 
mathematics in Leibniz. 92j:01020 

Bialas, Volker Keplers komplizierter Weg zur Wahrheit: von neuen Schwierigkeiten, die 
“Astronomia Nova” zu lesen. [Kepler’s complicated road to truth: about new problems in 
reading the Astronomia nova] 92¢:01029 

Blay, Michel Quatre mémoires inédits de Pierre Varignon consacrés @ la science du 
mouvement. [Four unpublished memoirs of Pierre Varignon devoted to the science of 
motion] 92b:01021 

Bogolyubov, Aleksei Nikolaevich Robert Hooke as a teacher of mathematics. (Russian) 
92g:01027 

Bosch i Casabd, Marianna Huygens, Newton and the radius of curvature. (Catalan) 
92b:01022 

Boswell, Terry The brothers James and John Bernoulli on the parallelism between logic and 
algebra. 924:01013 

(Brahe, Tycho) see Thoren, Victor E., (92c:01003) 

Breger, Herbert Symmetry in Leibnizean physics. 92k:01013 

Burkhardt, Hans (with Dufour, Carlos A.) Infinity in Leibniz’s metaphysics. (see 
92b:01003) 

Campos, Jeanette (with Ruiz Zifiga, Angel) Metaphysics, method and mathematics in 
Descartes. (Spanish) (see 92e:00013) 

— (with Ruiz Zuniga, Angel) Metaphysics, epistemology and mathematics in Spinoza and 
Leibniz. (Spanish) (see 92e:00013) 

(Cassini, Jean-Dominique) see Swerdlow, Noel M., 92e:01034 

Cook, Alan Edmond Halley and Newton’s Principia. 92h:01017 

(Craige, John) see Nash, Richard, 92e:01033 

Cunningham, Andrew How the Principia got its name; or, Taking natural philosophy 
seriously. 92m:01017 

Dauben, Joseph W. The art of Renaissance science: Galileo and perspective. 92j:01021 

Débarbat, Suzanne (with Wilson, Curtis) The Galilean satellites of Jupiter from Galileo to 
Cassini, Rémer and Bradley. (see 92c:01003) 

Demidov, S.S. G. W. Leibniz’s “continuity law” and Euler’s concept of function continuity. 
(Russian) 92e:01030 

(Desargues, Girard) see Hogendijk, Jan P., 92h:01018; Andersen, Kirsti, 92k:01011 and de 
Sa, Carlos Correia, (92g:00024) 

Descartes, René * Die Welt oder Abhandlung iiber das Licht. (German) [The world, or 
Treatise on light] 92c:01018 

— see also Lo Bello, Anthony, 92g:01032; Campos, Jeanette, (92e:00013) and Meyer, Regina, 
(92g:01036) 

Di Sieno, Simonetta (with Galuzzi, M.) Section V of the first book of the Principia. Newton 
and the “problem of Pappus”. (Italian) 92e:01031 

Drake, Stillman Authentic Galileo materials in North America. (Italian summary) 
924:01014 

Dufour, Carles A. see Burkhardt, Hans, (92b:01003) 

Erlichson, Herman Newton’s 1679/80 solution of the constant gravity problem. 92g:01028 

— Motive force and centripetal force in Newton’s mechanics. 92g:01029 

(Euler, Leonhard) see Demidov, S. S., 92¢:01030 

Fabrikant, V. A. How the concept of acceleration took shape in the mechanics of Galileo. 
(Russian) 

(Ferguson, Johan Jacob) see van Maanen, Jan A., 92f:01018 

(de Fermat, Pierre) see Fletcher, Colin R., 92g:01030 

Fichant, Michel Neue Einblicke in Leibniz’ Reform seiner Dynamik (1678). (French 
summary) [New insights into Leibniz’ reform of his dynamics (1678)] 

(Finocchiaro, Maurice A.) see Galileo affair, 92e:01035 

Fletcher, Colin R. A reconstruction of the Frenicle-Fermat correspondence of 1640. 
(French and German summaries) 92g:01030 

Fowler, D. H. An approximation technique, and its use by Wallis and Taylor. 92i:01013 

(Frenicle, Bernard) see Fletcher, Colin R., 92g:01030 

(Galilei, Galileo) see Drake, Stillman, 92d:01014; Galileo affair, 92e:01035; Naylor, Ronald 
H., 92h:01020; Dauben, Joseph W., 92j:01021; Bedini, Silvio A., 92k:01012; Hill, David K. 
and Winkler, Mary G. 

Galuzzi, M. see Di Sieno, Simonetta, 92e:01031 

Gingerich, Owen Johannes Kepler. (see 92c:01003) 

Giusti, Enrico A comparison of infinitesimal calculus in Leibniz and Newton. (Italian) 
921:01016 

— Images du continu. [Images of the continuum] 92j:01022 

Gozza, Paolo Atoms, “spiritus”, sounds: The Speculations on music (1670) of the Galilean 
Pietro Mengoli. (Italian. English summary) 92e:01032 

Grabiner, Judith V. Was Newton’s calculus just a dead end? Maclaurin and the Scottish 
connection. 92j:01023 

(Gregory, James) see Roy, Ranjan, 92a:01029 

(Halley, Edmond) see Cook, Alan, 92h:01017 

Hill, David K. Letter to the editor: “Galileo’s method of analysis and synthesis” [Isis 81 
(1990), no. 309, 695-707; MR 92h:01020] by R. H. Naylor. 

Hogendijk, Jan P. Desargues’ Brouillon project and the Conics of Apollonius. 92h:01018 

(Hooke, Robert) see Bogolyubov, Aleksei Nikolaevich, 92g:01027 

(Hughes, B.) see Snelders, H. A. M., 92a:01030 

(Huygens, Christiaan) see Snelders, H. A. M., 92a:01030 and Malet, Antoni 

(Kepler, Johannes) see Baigrie, Brian S., 92d:01012; Bialas, Volker, 92e:01029; Krafft, Fritz, 
92m:01019 and Gingerich, Owen, (92c:01003) 

Kharlamov, P. V. How L. I. Sedov interprets Newtonian mechanics. (Russian) 92m:01018 

Knobloch, Eberhard Leibniz et son manuscrit inédité sur la quadrature des sections 
coniques. [Leibniz and his unpublished manuscript on the quadrature of conics] 
92f:01017 


Krafft, Fritz Erfahrung und Vorurteil im naturwissenschaftlichen Denken Johannes Keplers. 


(English summary) [Experience and preconception in the scientific thought of Johannes 
Kepler] 92m:01019 


(Leibniz, Gottfried Wilhelm) see Roy, Ranjan, 92a:01029; Roero, Clara Silvia, 92c:01019; 


HISTORY AND BIOGRAPHY 1992 32 


Demidov, S. S., 92e:01030; Knobloch, Eberhard, 92f:01017; van Maanen, Jan A.., 
92:01018; Lenzen, Wolfgang, 92g:01031; Pepe, Luigi, 92g:01034; Robinet, André, 
92h:01022; Wallwitz, Georg Graf, 92i:01015; Bertoloni Meli, Domenico, 92j:01020; Peiffer, 
Jeanne, 92j:01026; Breger, Herbert, 92k:01013; McNamara, Paul; Fichant, Michel; 
Campos, Jeanette, (92e:00013) and Burkhardt, Hans, (92b:01003) 

Lenzen, Wolfgang Concepts vs. predicates. Leibniz’s challenge to modern logic. 92g:01031 

Lo Bello, Anthony Descartes and the philosophy of mathematics. 92g:01032 

Lorenz, Martina Rezeption und Bewertung des Newtonschen Gravitationsgesetzes 
in Physiklehrbiichern im Zeitalter der Aufklarung in Deutschland. [Reception and 
assessment of Newton’s law of gravitation in physics textbooks in the Enlightenment in 
Germany] 92b:01023 

van Maanen, Jan A. Korrespondenten von G. W. Leibniz. [Correspondents of G. W. 
Leibniz] 92f:01018 

(Mach, Ernst) see Yan, Kang Nian, 924:01016 

Mahoney, Michael S. Infinitesimals and transcendent relations: the mathematics of motion 
in the late seventeenth century. 92h:01019 

Malet, Antoni Gregorie, Descartes, Kepler, and the law of refraction. 92j:01024 

— Mathematics and mathematization in the sevenicenth century. Essay review of Unrolling 
time [Cambridge Univ. Press, Cambridge, 1988; MR 90c:01017] by J. G. Yoder. 

Mancosu, Paolo (with Vailati, Ezio) Torricelli’s infinitely long solid and its philosophical 
reception in the seventeenth century. 92i:01014 

— On the status of proofs by contradiction in the seventeenth century. 92g:01033 

McNamara, Paul Leibniz on creation, contingency and per-se modality. (German summary) 

(Mengoli, Pietro) see Gozza, Paolo, 92e:01032 

Mesnard, Jean Sur le chemin de l’Académie des sciences: le cercle du mathématicien 
Claude Mylon (1654-1660). [On the way to the Academy of Science: the circle of the 
mathematician Claude Mylon (1654-1660)] 92j:01025 

Meyer, Regina René Descartes. Betrachtungen zum Verhiltnis von Philosophie und 
Naturwissenschaften im 17. Jahrhundert. [René Descartes. Reflections on the relation 
between philosophy and sciences in the 17th century] (see 92g:01036) 

(Mylon, Claude) see Mesnard, Jean, 92j:01025 

Nash, Richard * John Craige’s Mathematical principles of Christian theology. 92e:01033 

Naylor, Ronald H. Galileo’s method of analysis and synthesis. 92h:01020 

— see also Hill, David K. 

(Newton, Isaac) see Topper, David, 92a:01031; Lorenz, Martina, 92b:01023; Schiiller, 
Volkmar, 92b:01024; Basu, Prajit K., 92g:01026; Erlichson, Herman, 92g:01028; 
92g:01029; Pourciau, Bruce H., 92g:01035; Peiffer, Jeanne, 92j:01026; Staritek, Imrich, 
92j:01027 and Wilson, Curtis, (92c:01003) 

Nicolas, Juan A. Universalitat des Prinzips vom zureichenden Grund. (French summary) 
(Universality of the principle of sufficient reason] 

(Nilakantha, Kerala Gargya) see Roy, Ranjan, 92a:01029 

Nuchelmans, Gabriel A 17th-century debate on the consequentia mirabilis. 92h:01021 

Ogawa, Yutaka Gailileo’s work on free fall at Padua. Some remarks on Drake’s interpreta- 
tion. 922:01028 

Peiffer, Jeanne Leibniz, Newton et leurs disciples. [Leibniz, Newton and their disciples] 
92j:01026 

Pepe, Luigi Leibniz et l’analyse infinitésimale en Italie. [Leibniz and differential and 
integral calculus in Italy] 92g:01034 

Pourciau, Bruce H. On Newton’s proof that inverse-square orbits must be conics. 92g:01035 

Robinet, André * Architectonique disjonctive, automates systémiques et idéalité transcen- 
dantale dans I’ceuvre de G. W. Leibniz. (French) [Disjunctive architectonics, systemic au- 
tomata and transcendental ideality in the works of G. W. Leibniz] 92h:01022 

Roche, John J. A critical study of symmetry in physics from Galileo to Newton. 92f:01019 

Roero, Clara Silvia Leibniz and the temple of Viviani: Leibniz’s prompt reply to the 
challenge and the repercussions in the field of mathematics. 92c:01019 

Roy, Ranjan The discovery of the series formula for z by Leibniz, Gregory and Nilakantha. 
92a:01029 

Ruiz Ziiiiga, Angel On the scientific and mathematical revolution of the seventeenth 
century. (Spanish) (see 92e:00013) 

— see also Campos, Jeanette, (92e:00013) and (92e:00013) 

de Sa, Carlos Correia The theories of involution and polarity in the work of G. Desargues. 
(Portuguese) (see 92g:00024) 

Schreier, Wolfgang Zur Genesis der klassischen Dynamik. [On the genesis of classical 
dynamics] (see 92g:01036) 

Schiller, Volkmar Die Bedeutung von “quantum in se est” in Newtons Principia. [The 
meaning of “quantum in se est” in Newton’s Principia] 92b:01024 

(Sedov, L. I.) see Kharlamov, P. V., 92m:01018 

Siki¢é, Zvonimir Natural logarithms. (Serbo-Croatian. English summary) 92m:01020 

Snelders, H. A.M. Christiaan Huygens and Newton’s theory of gravitation. 92a:01030 

(Spinoza, Baruch) see Campos, Jeanette, (92e:00013) 

Spruit, Leen (with Tamburrini, Guglielmo) Reasoning and computation in Leibniz. 
92d:01015 

Stariéek, Imrich Newton’s motivation regarding mechanics. (Czech. English summary) 
92j:01027 

Swerdlow, Noel M. Astronomical chronology and prophecy: Jean-Dominique Cassini’s 
discovery of Josephus’s great lunisolar period of the Patriarchs. 92e:01034 

Tamburrini, Guglielmo see Spruit, Leen, 92d:01015 

(Taylor, Brook) see Fowler, D. H., 92i:01013 

Thoren, Victor E. Tycho Brahe. (see 92c:01003) 

Topper, David Newton on the number of colours in the spectrum. 92a:01031 

(Torricelli, Evangelista) see Mancosu, Paolo, 92i:01014 

(Tripp, G. Matthias) see Descartes, René, 92c:01018 

Vailati, Ezio see Mancosu, Paolo, 92i:01014 

Van Helden, Albert see Winkler, Mary G. 

(Varignon, Pierre) see Blay, Michel, 92b:01021 

(Viviani, V.) see Roero, Clara Silvia, 92c:01019 

(Wallis, John) see Fowler, D. H., 92i:01013 

Wallwitz, Georg Graf Strukturelle Probleme in Leibniz’ Analysis situs. (English summary) 
[Structural problems in Leibniz’ Analysis situs] 92i:01015 

(Wendel, Ginter) see Scientific revolution in the 17th century, 92g:01036 





33 1992 


Frances “The genius of all arts” and the use of instruments: Jonas Moore (1617- 
1679) as a mathematician, surveyor, and astronomer. 92m:01021 

Wilson, Curtis Predictive astronomy in the century after Kepler. (see 92c:01003) 

— The Newtonian achi in y. (see 92c:01003) 

— see also Débarbat, Suzanne, (92c:01003) 

Winkler, Mary G. (with Van Helden, Albert) Representing the heavens: Galileo and visual 
astronomy. 

WuBing, Hans Zu Begriff und Inhalt der Naturwissenschaftlichen Revolution des 17. 
Jahrhunderts. [Idea and concept of the scientific revolution in the 17th century] (see 
92g:01036) 

— Zur Revolution in der Mathematik des 17. Jahrhunderts. [The revolution of mathematics 
in the 17th century] (see 92g:01036) 

Yan, Kang Nian A re-examination into Newton’s definition of mass and Mach’s criticism. 
92d:01016 

(Yoder, Joella G.) see Malet, Antoni 





Items listed otherwise than by author 

Biography: 
Ferguson, Johan Jacob see van Maanen, Jan A., 92f:01018 

Correspondence: 
Galilei, Galileo * The Galileo affair. 92¢:01035 

Galileo affair * The Galileo affair. 92e:01035 

Naturwissenschaftliche Revolution im 17. Jahrhundert * Naturwissenschaftliche Revolution 
im 17. Jahrhundert. (German) [Scientific revolution in the 17th century] 92g:01036 

Scientific revolution in the 17th century * Naturwissenschaftliche Revolution im 17. 
Jahrhundert. (German) [Scientific revolution in the 17th century] 92g:01036 


Items with secondary classifications in 01A45 

(Apollonius of Perga) see Elsner, Bernd, 92c:01008 

(Ariew, Roger) see Leibniz, Gottfried Wilhelm, 92d:01079 

Bell, E. T. * The last problem. 92b:01005 

Benvenuto, Edoardo * An introduction to the history of structural mechanics. Part I. 
92a:01008a 

(Bialas, Volker) see Kepler, Johannes, 92k:01047 

Bolzano, Bernard * Las paradojas del infinito. (Spanish) [Paradoxes of the infinite] 
92g:01106 

(Boockmann, Friederike) see Kepler, Johannes, 92k:01047 

Bychkov, S. N. Features of the ancient method of exhaustion. (Russian) 92e:01011 

Chobanov, Ivan Newtonian and Eulerian dynamical axioms. I. The exodus. (Russian 
summary) 92h:70002a 

— Newtonian and Eulerian dynamical axioms. II. The literary tradition. (Russian summary) 
92h:70002b 

Clark, William Poetics for scientists: essay review of The poetic structure of the world (Zone, 
New York, 1990; MR 91m:01011] by F. Hallyn. 

(Clavius, Christoph) see Knobloch, Eberhard, 92h:01014 

Colwell, Peter Bessel functions and Kepler’s equation. 92j:33011 

Dalla Chiara, Maria Luisa (with Mugnai, Massimo) A formal reconstruction of Leibniz’ 
intensional semantics. 92i:03004 

(Dellian, Ed) see Newton, Isaac, 92e:01079 

(Descartes, René) see Lyatker, Ya., 92g:01088 

Dietsch, Ingrid Leibniz-Bibliographie 1991. [Leibniz bibliography 1991] 

(Dudley, Underwood) see Bell, E. T., 92b:01005 

Elsner, Bernd * “Apollonius Saxonicus”. (German) 92c:01008 

Feng, Li Sheng Fermat and his mathematical work. (Chinese) 

(de Fermat, Pierre) see Feng, Li Sheng 

(Filonovich, S. R.) see Newton, Isaac, 92a:01085 

Franklin, James The ancient legal sources of seventeenth-century probability. (see 
92m:01006) 

Festrede zum 300. Geburtstag von Gottfried Wilhelm Leibniz am 

1. Juli ‘1946 i in der Aula der Universitat Leipzig. [Address on the occasion of the 300th 
birthday of Gottfried Wilhelm Leibniz on 1 July 1946 in the auditorium of the University 
of Leipzig] 92c:01046 

(Garber, Daniel) see Leibniz, Gottfried Wilhelm, 92d:01079 

(Hallyn, Fernand) see Clark, William 

Han, Xiang Lin see Zhang, Su Liang; et al., 92c:01026 

(Heinekamp, Albert) see Dietsch, Ingrid 

(Hermann, Jakob) see Nagel, Fritz, 92c:01049 

Jami, Catherine Scholars and mathematical knowledge during the late Ming and early Qing. 
92d:01005 

(Jungius, Joachim) see Elsner, Bernd, 92c:01008 

Kepler, Johannes * Gesammelte Werke. Band XX, 1. (Latin) [Collected works. Vol. XX, 1] 
92k:01047 

Knobloch, Eberhard Christoph Clavius. Ein Namen- und Schriftenverzeichnis zu seinen 
Opera mathematica. [Christoph Clavius. A name index and bibliography for his Opera 
mathematica] 92h:01014 

(Krylov, A. N.) see Newton, Isaac, 92a:01085 

(Lehmer, D.H.) see Bell, E. T., 92b:01005 

Leibniz, Gottfried Wilhelm * Philosophical essays. 92d:01079 

— see also van Rijen, Jeroen, 92a:03003; Gadamer, Hans-Georg, 92c:01046; Mugnai, 
Massimo, 92d:03001; Robinet, André, 92e:01040; Dalla Chiara, Maria Luisa, 92i:03004; 
Petia, Lorenzo, 92m:03002; Seager, William and Dietsch, Ingrid 

(Li, Shan Lan) see Zhang, Su Liang; et al., 92c:01026 

Lyatker, Ya. * Descartes. (Spanish) 92g:01088 

MacDonnell, Joseph * Jesuit geometers. 92¢:01082 

Markley, Robert Representing order: natural philosophy, mathematics, and theology in the 
Newtonian revolution. 92k:00020 

Molas, Cori (with Pérez, Juli) The birth of complex numbers. (Catalan) 92a:01027 

Moreno Armella, Luis Concerning the notions of number and variation. (Spanish) 
92i:01007 


01A History of mathematics and mathematicians 


01A50 


Mugnai, Massimo A systematical approach to Leibniz’s theory of relations and relational 
sentences. 924:03001 

— see also Dalla Chiara, Maria Luisa, 92i:03004 

(Miiller, Johannes) see Elsner, Bernd, 92c:01008 

Nagel, Fritz A catalog of the works of Jacob Hermann (1678-1733). 92c:01049 

Napier, John * Rabdology. 92f:01043 

(Neumann, O.) see Petrova, S. S., 92b:01034 

Newton, Isaac * Mathematische Grundlagen der Naturphilosophie. (German) [Mathemati- 
cal principles of natural philosophy] 92¢:01079 

— *& Matematuueckue HaYasa HaTypasbHon dusocodun. (Russian) [Principia] 92a:01085 

(Padberg, John W.) see MacDonnell, Joseph, 92e:01082 

Peiia, Lorenzo De la logique combinatoire des Generales inquisitiones aux calculs combina- 
toires contemporains. (English summary) [From the combinatory logic of the Generales 
inquisitiones to contemporary combinatory calculi] 92m:03002 

Pérez, Juli see Molas, Cori, 92a:01027 

Petrova, S.S. Vom symbolischen Kalkiil zur Operatorenrechnung. [From symbolic calculus 
to operational calculus] 92b:01034 

(Polak, L.S.) see Newton, Isaac, 92a:01085 

(Ptihonsky, Fr.) see Bolzano, Bernard, 92g:01106 

(Richardson, William Frank) see Napier, John, 92f:01043 

(Rider, Robin E.) see Napier, John, 92f:01043 

van Rijen, Jeroen Some misconceptions about Leibniz and the Calculi of 1679. (German 
summary) 92a:03003 

Robinet, André La conquéte de la chaire de mathématiques de Padoue par les leibniziens. 
[The Leibnizians’ conquest of the Chair of Mathematics at Padua] 92e:01040 

Seager, William The worm in the cheese. Leibniz, consciousness and matter. 

(Sebestik, Jan) see Bolzano, Bernard, 92g:01106 

(Segura, Luis Felipe) see Bolzano, Bernard, 92g:01106 

(Taton, René) see Planetary astronomy from the Renaissance to the rise of astrophysics, 
92c:01003 

(Truesdell, C.) see Benvenuto, Edoardo, 92a:01008a 

(Vogt, Annette) see Petrova, S. S., 92b:01034 

(Weland, Woldeck) see Elsner, Bernd, 92c:01008 

(Wilson, Curtis) see Planetary astronomy from the Renaissance to the rise of astrophysics, 
92¢:01003 

Zhang, Su Liang (with Han, Xiang Lin) A comparison of Shan Lan Li’s and Newton’s early 
thinking on calculus. (Chinese. English summary) 92c:01026 


Items listed otherwise than by author 


Bibliography: 
Hermann, Jacob see Nagel, Fritz, 92c:01049 
Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 92d:01079 
Leibniz, Gottfried Wilhelm see Dietsch, Ingrid 
Biography: 
Descartes, René see Lyatker, Ya., 92g:01088 
Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 92d:01079 
Napier, John see Napier, John, 92f:01043 
Collected Works: 
Kepler, Johannes see Kepler, Johannes, 92k:01047 
Correspondence: 
Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 92d:01079 
Essays: 
Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 924:01079 
Firenze * The Leibniz renaissance. 92b:01003 
Leibniz renaissance * The Leibniz renaissance. 92b:01003 
Planetary astronomy from the Renaissance to the rise of astrophysics * Planetary astronomy 
from the Renaissance to the rise of astrophysics. Part A. 92c:01003 
Workshop: 
Leibniz Renaissance * The Leibniz renaissance. 92b:01003° 


01A50 18th century 


(d’Alembert, Jean) see Dhombres, Jean, 92f:01020 

Antolin, Antonio Philosophy and mathematics in the eighteenth century. (Spanish) 
92h:01023 

(de Bélidor, Bernard Forest) see Langins, Janis, 92m:01024 

Bittanti, Sergio Count Riccati and the early days of the Riccati equation. (see 92d:93008) 

(BoSkovié, Rudjer Josip) see Pappas, John, 92b:01026 and Manara, Carlo Felice, 92j:01029 

Brooks, John The circular dividing engine: development in England 1739-1843. 
92m:01022 

Biilow, Ralf Ein Entwurf fiir eine Differenzmaschine aus dem Jahr 1784. [A model for a 
difference engine from the year 1784] 92¢:01036 

(Campbell, George) see Weeks, Dennis, 92j:01030 

Cantoral, Ricardo Formation of the notion of analytic function. (Spanish) 92h:01024 

Carvalho e Silva, Jaime M. M. see Duarte, Anténio Leal, (92g:00024) 

(Cauchy, Augustin-Louis) see Laugwitz, Detlef, (92d:01023) 

(du Chitelet, Emilie) see Kawashima, Keiko, 92a:01034 

Clarke, Samuel * Der Briefwechsel mit G. W. Leibniz von 1715/1716. (German) [The 
correspondence with G. W. Leibniz from 1715/1716] 92a:01032 

Crépel, Pierre Le dernier mot de Condorcet sur les élections. (English summary) [Con- 
dorcet’s last paper on voting theory] 92e:01037 

(da Cunha, José Anastacio) see Duarte, Antonio Leal, (92g:00024) 

Deakin, Michael A. B. (with Prentice, A. J. R.) The Titius-Bode law for planetary distances. 
92j:01028 

— d’Alembert’s serendipitous error. 92d:01017 

(Dellian, Ed) see Clarke, Samuel, 92a:01032 ‘ 

Dhombres, Jean (with Radelet-de Grave, P.) Contingence et nécessité en mécanique. Etude 
de deux textes inédits de Jean d’Alembert. (English summary) [Contingency and necessity 
in mechanics: a study of two unpublished manuscripts of Jean d’Alembert] 92f:01020 

Dieudonné, Jean Formal versus convergent power series. 92e:01038 








01A50 


Duarte, Anténio Leal (with Carvalho e Silva, Jaime M. M.) Some comments on the 
Mathematical principles of José Anastacio da Cunha. (Portuguese. English summary) (see 
92g:00024) 

Dugac, Pierre La théorie des fonctions analytiques de Lagrange et la notion d’infini. (English 
summary) [Lagrange’s theory of analytic functions, and the concept of infinity] (see 
924:01023) 

(Euler, Leonhard) see Malykh, A. E., 92b:01025; Pulte, Helmut, 92g:01038; Laugwitz, Detlef, 
(92d:01623) and Speiser, David, (92b:01004) 

Garibaldi, U. (with Penco, M. A.) Intensional vs. extensional probabilities from their 
origins to Laplace. (French and Spanish summaries) 92a:01033 

Giormani, Virgilio Wrangling among scientists in the “quiet” Venetia of the 18th century. 
(Italian. English summary) 92m:01023 

Giuntini, Sandra The correspondence of Gabriele Manfredi and Giovanni Poleni. (Italian) 
92d:01018 

Grabiner, Judith V. * The calculus as algebra. 92c:01020 

Grattan-Guinness, Ivor Counting the notes: numerology in the works of Mozart, especially 
Die Zauberfléte. 

Griffin, Nicholas Non-Euclidean geometry: still some problems for Kant. Comment on: 
“The sensible foundation for mathematics: a defense of Kant’s view” [Stud. Hist. Philos. 
Sci. 21 (1990), no. 1, 123-143; MR 91c:01026] by M. Risjord. 92k:01014b 

— see also Risjord, Mark, 92k:01014c 

Hamel, Jiirgen Astronomie und Astrologie im 17. Jahrhundert. Zur Wechselbeziehung 
zwischen Empirie, Weltanschauung und technischem Fortschritt. [Astronomy and 
astrology in the 17th century. On the interaction between empirism, world view and 
technical progress] (see 92g:01036) 

Henry, Paul A question concerning mathematics and the Enlightenment. (Spanish) 
92h:01025 

(Kant, Immanuel) see Leavitt, Frank J., 92k:01014a; Griffin, Nicholas, 92k:01014b and 
Risjord, Mark, 92k:01014c 

Kawashima, Keiko La participation de Madame du Chatelet a la querelle sur les forces vives. 
[The participation of Madame du Chatelet in the vis viva debate] 92a:01034 

(Lagrange, Joseph Louis) see Grabiner, Judith V., 92c:01020; Thiele, Riidiger, 92e:01041; 
Pulte, Helmut, 92g:01038; Stoki¢é, Zoran, 92m:01027 and Dugac, Pierre, (92d:01023) 

Langins, Janis The codification and mathematization of French engineering in the XVIIIth 
century: the case of Bernard Forest de Bélidor. (Spanish) 92m:01024 

Laugwitz, Detlef Das mathematisch Unendliche bei Euler und Cauchy. (English summary) 
[The mathematically infinite in the works of Euler and Cauchy] (see 92d:01023) 

Leavitt, Frank J. Kant’s schematism and his philosophy of geometry. Comment on: “The 
sensible foundation for mathematics: a defense of Kant’s view” [Stud. Hist. Philos. Sci. 21 
(1990), no. 1, 123-143; MR 91c:01026] by M. Risjord. 92k:01014a 

— see also Risjord, Mark, 92k:01014c 

(Leibniz, Gottfried Wilhelm) see Clarke, Samuel, 92a:01032; Robinet, André, 92e:01040 and 
92m:01025 

(Lexell, A. J.) see Lysenko, V. I., 92g:01037 

Lysenko, V. I. Differential equations in the works of A. J. Lexell. (Russian) 92g:01037 

(Machin, John) see Tweddle, Ian, 92h:01026 

(MacLaurin, Colin) see Tweddle, Ian, 92e:01042 

Malykh, A. E. From the combinatorial legacy of Leonard Euler. (Russian. English 
summary) 92b:01025 

— Development of the general theory of determinants up to the beginning of the nineteenth 
century. (Russian) 92e:01039 

Manara, Carlo Felice Philosophical problems of geometry in the works of Ruggero 
Giuseppe Boscovich [Rudjer Josip Boskovi¢]. (Italian. English summary) 92j:01029 

(Manfredi, Gabriele) see Giuntini, Sandra, 92d:01018 

(de Maupertuis, Pierre-Louis Moreau) see Pulte, Helmut, 92g:01038 

Mehra, Anjani K. see Sharma, Virendra Nath, 92m:01026 

Mills, Stella The Cauchy-Maclaurin integral theorem: an eighteenth-century example of 
mathematical analysis. (Portuguese) (see 92g:00024) 

(Mozart, Wolfgang Amadeus) see Grattan-Guinness, Ivor 

Pappas, John Documents inédits sur les relations de Boscovich avec la France. (English 
summary) [Unpublished documents concerning Boscovich’s relations with France] 
92b:01026 

Penco, M. A. see Garibaldi, U., 92a:01033 

Petrova, S.S. Euler-Maclaurin’s summation formula, and asymptotic series. (Russian) 
92£:01021 

(Poleni, Giovanni) see Giuntini, Sandra, 92d:01018 

Prentice, A. J. R. see Deakin, Michael A. B., 92j:01028 

Pulte, Helmut * Das Prinzip der kleinsten Wirkung und die Kraftkonzeptionen der 
rationalen Mechanik. (German) [The principle of least action and the concepts of force 
in rational mechanics] 92g:01038 

Radelet-de Grave, P. see Dhombres, Jean, 92f:01020 

(Riccati, Jacopo) see Bittanti, Sergio, (92d:93008) 

Risjord, Mark Further reflections on the sensible foundations. Comment on: “Kant’s 
schematism and his philosophy of geometry” (Stud. Hist. Philos. Sci. 22 (1991), no. 4, 
647-659] by F. J. Leavitt and “Non-Euclidean geometry: still some problems for Kant” 
[ibid. 22 (1991), no. 4, 661-663] by N. Griffin. 92k:01014c 

— see also Leavitt, Frank J., 92k:01014a and Griffin, Nicholas, 92k:01014b 

Robinet, André La conquéte de la chaire de mathématiques de Padoue par les leibniziens. 
[The Leibnizians’ conquest of the Chair of Mathematics at Padua] 92e:01040 

— La conquéte de la chaire de mathématiques de Padoue par les leibniziens. (English 
summary) [The Leibnizians’ conquest of the Chair of Mathematics at Padua] 92m:01025 

Sharma, Virendra Nath (with Mehra, Anjani K.) Precision instruments of Sawai Jai Singh. 
92m:01026 

(Simson, Robert) see Tweddle, Ian, 92e:01042 and 92h:01026 

(Singh, Sawai Jai) see Sharma, Virendra Nath, 92m:01026 

Speiser, David The principle of relativity in Euler’s work. (see 92b:01004) 

Stoki¢, Zoran The principle of least action, or Lagrange—the Newton of the 18th century. 
(Serbo-Croatian. English summary) 92m:01027 

Thiele, Riidiger 200 Jahre “Mécanique analytique” von J. L. Lagrange. (200 years of J. L. 
Lagrange’s “Mécanique analytique”] 92e:01041 


HISTORY AND BIOGRAPHY 


1992 34 


Tweddle, Ian Some results on conic sections in the correspondence between Colin 
MacLaurin and Robert Simson. 92¢:01042 

— John Machin and Robert Simson on inverse-tangent series for z. 92h:01026 

Weeks, Dennis The life and mathematics of George Campbell, F.R.S. (French and German 
summaries) 92j:01030 

Yushkevich, A. P. The French Revolution and the development of mathematics in Russia. 
(Russian) 92a:01035 


Items listed otherwise than by author 
Bibliography: 

Lagrange, Joseph-Louis see Grabiner, Judith V., 92c:01020 
Biography: 

Campbell, George see Weeks, Dennis, 92j:01030 

Lagrange, Joseph Louis see Stoki¢, Zoran, 92m:01027 
Correspondence: 

Clarke, Samuel-Leibniz, G. W. see Clarke, Samuel, 92a:01032 


Items with secondary classifications in 01A50 

(Adrain, Robert) see Dutka, Jacques, 92a:01039 

(Agnesi, Maria Gaetana) see Truesdell, C. 

Anellis, Irving H. Theology against logic: the origins of logic in old Russia. 92h:01015 

Benvenuto, Edoardo * An introduction to the history of structural mechanics. Part I. 
92a:01008a 

— * An introduction to the history of structural mechanics. Part II. 92a:01008b 

(Blanc, Charles) see Euler, Leonhard, 92g:01107 

Borgato, Maria Teresa (with Pepe, Luigi) * Lagrange. (Italian) 92c:01042 

Borowczyk, Jacques Sur la vie et l’euvre de Francois Budan (1761-1840). (English and 
German summaries) [On the life and works of Francois Budan (1761-1840)] 92c:01043 

(Budan, Francois) see Borowczyk, Jacques, 92c:01043 

Chobanov, Ivan Newtonian and Eulerian dynamical axioms. I. The exodus. (Russian 
summary) 92h:70002a 

— Newtonian and Eulerian dynamical axioms. II. The literary tradition. (Russian summary) 
92h:70002b 

(Clarke, Samuel) see Leibniz-Clarke correspondence 

Colwell, Peter Bessel functions and Kepler’s equation. 92j:33011 

Costabel, Pierre Lagrange et l’art analytique. [Lagrange and the art of analysis] 92j:01058 

(Dellian, Ed) see Newton, Isaac, 92e:01079 

Demidov, S.S. G. W. Leibniz’s “continuity law” and Euler’s concept of function continuity. 
(Russian) 92e:01030 

Dutka, Jacques Robert Adrain and the method of least squares. 92a:01039 

Eisenstaedt, J. De l’influence de la gravitation sur la propagation de la lumiére en théorie 
newtonienne. L’archéologie des trous noirs. [On the influence of gravitation on the 
propagation of light in Newtonian theory. The archeology of black holes] 92h:01031 

Euler, Leonhard * Sol et luna. II. 92g:01107 

— see also Demidov, S. S., 92e:01030 

Fryant, Allan (with Sarma, V. L. N.) Gauss’ first proof of the fundamental theorem of 
algebra. 92b:01030 

Galiani, Celestine (with Grandi, Guido) * Carteggio (1714-1729). (Italian) [Correspon- 
dence (1714-1729)] 92f:01040 

(Gauss, Carl Friedrich) see Fryant, Allan, 92b:01030 and Waterhouse, William C., 92e:01049 

Gilain, Christian Sur histoire du théoreme fondamental de l’algébre: théorie des équations 
et calcul intégral. [On the history of the fundamental theorem of algebra: the theory of 
equations and integral calculus] 92j:01034 

Giusti, Enrico A comparison of infinitesimal calculus in Leibniz and Newton. (Italian) 
92£:01016 

Grabiner, Judith V. Was Newton’s calculus just a dead end? Maclaurin and the Scottish 
connection. 92j:01023 

Grandi, Guido see Galiani, Celestino, 92f:01040 

Grattan-Guinness, Ivor The varieties of mechanics by 1800. (French and German 
summaries) 92a:01041 

(Hermann, Jakob) see Nagel, Fritz, 92c:01049 

(Kant, Immanuel) see Posy, Carl J. 

Kawaguchi, Toshiro A study of Kyuritsu. Mathematical and scientific considerations of 
astronomical phenomena. (Japanese) 92i:01009 

(Konig, Gert) see Concepts of the mathematically infinite in the 19th century, 92d:01023 

(Lagrange, Joseph Louis) see Borgato, Maria Teresa, 92c:01042; Costabel, Pierre, 92j:01058 
and Tanzi Cattabianchi, Luigi 

(Leibniz, Gottfried Wilhelm) see Demidov, S. S., 92¢:01030; Pepe, Luigi, 92g:01034; Robinet, 
André, 92h:01022; Peiffer, Jeanne, 92j:01026 and Leibniz-Clarke correspondence 

MacDonnell, Joseph * Jesuit geometers. 92¢:01082 

Marsaglia, George (with Marsaglia, John C. W.) A new derivation of Stirling’s approxima- 
tion to n!. 92b:41049 

Marsaglia, John C. W. see Marsaglia, George, 92b:41049 

Mizel, Victor J. Developments in 1-dimensional calculus of variations affecting continuum 
mechanics. 92¢:49003 

Molas, Cori (with Pérez, Juli) The birth of complex numbers. (Catalan) 92a:01027 

Nagel, Fritz A catalog of the works of Jacob Hermann (1678-1733). 92c:01049 

(Neumann, O.) see Petrova, S. S., 92b:01034 

Newton, Isaac * Mathematische Grundlagen der Naturphilosophie. (German) [Mathemati- 
cal principles of natural philosophy] 92e:01079 

— see also Peiffer, Jeanne, 92j:01026 

(Padberg, John W.) see MacDonnell, Joseph, 92e:01082 

(Palladino, Franco) see Galiani, Celestino, 92f:01040 

Peiffer, Jeanne Leibniz, Newton et leurs disciples. [Leibniz, Newton and their disciples] 
92j:01026 

Pepe, Luigi Leibniz et l’analyse infinitésimale en Italie. [Leibniz and differential and 
integral calculus in Italy] 92g:01034 

— see also Borgato, Maria Teresa, 92c:01042 

Pérez, Juli see Molas, Cori, 92a:01027 





35 1992 


Petrova, S.S. Vom symbolischen Kalkiil zur Operatorenrechnung. [From symbolic calculus 
to operational calculus] 92b:01034 

Pieper, Herbert * Die komplexen Zahlen. (German) [Complex numbers] 92j:12003 

Posy, Carl J. Kant and conceptual semantics: a sketch. 

Robinet, André * Architectonique disjonctive, automates systémiques et idéalité transcen- 
dantale dans l’ceuvre de G. W. Leibniz. (French) [Disjunctive architectonics, systemic au- 
tomata and transcendental ideality in the works of G. W. Leibniz] 92h:01022 

Sarma, V. L. N. see Fryant, Allan, 92b:01030 

(Schiiller, Volkmar) see Leibniz-Clarke correspondence 

Siki¢, Zvonimir Natural logarithms. (Serbo-Croatian. English summary) 92m:01020 

(Simonutti, Luisa) see Galiani, Celestino, 92f:01040 

Tanzi Cattabianchi, Luigi The relevance today of a contribution by Lagrange to internal 
ballistics. (Italian. English summary) 

(Torrini, Maurizio) see Galiani, Celestino, 92f:01040 

Truesdell, C. Corrections and additions for: “Maria Gaetana Agnesi” [Arch. Hist. Exact Sci. 
40 (1989), no. 2, 113-142; MR 91k:01014]. 

— see also Benvenuto, Edoardo, 92a:01008a and 92a:01008b 

(Vogt, Annette) see Petrova, S. S., 92b:01034 

Waterhouse, William C. An elementary interpretation of Entry 12 in Gauss’s Tagebuch. 
(German summary) 92e:01049 


Items listed otherwise than by author 

Bibliography: 

Hermann, Jacob see Nagel, Fritz, 92c:01049 

Concepts of the mathematically infinite in the 19th century * Konzepte des mathematisch 
Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 
the 19th century] 92d:01023 

Correspondence: 

Galiani, Celestino—Grandi, Guido see Galiani, Celestino, 92f:01040 
Leibniz, Gottfried Wilhelm-Clarke, Samuel * Der Leibniz-Clarke Briefwechsel. 
(German) [The Leibniz-Clarke correspondence] 

Konzepte des mathematisch Unendlichen im 19. Jahrhundert * Konzepte des mathematisch 
Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 
the 19th century] 92d:01023 

Leibniz-Clarke Briefwechsel * Der Leibniz-Clarke Briefwechsel. (German) [The Leibniz- 
Clarke correspondence] 

Leibniz-Clarke correspondence * Der Leibniz-Clarke Briefwechsel. (German) [The Leibniz- 
Clarke correspondence] 


01A55 19th century 


Achinstein, Peter * Particles and waves. 92h:01027 
(Adrain, Robert) see Dutka, Jacques, 92a:01039 
Al-Bassam, M. A. On Gauss’ differential equation and its twenty-four Kummer’s solutions. 


92k:01015 

(Albert, Wilhelm August Julius) see Schmidt, Klaus-Jirgen 

(Ampere, André-Marie) see Grattan-Guinness, Ivor, 92a:01042 

Anellis, Irving H. Schréder material at the Russell archives. 92f:01022 

(Arago, Francois) see Grison, Emmanuel, 92f:01025 

Archibald, Thomas Energy and the mathematization of electrodynamics in Germany, 1845- 
1875. 92¢:01021 

(Babbage, Charles) see Turvey, Peter J., 92g:01044 and Berg, Herman 

(Baire, René) see Correspondence: Baire, René-Borel, Emile, 92m:01033a 

Barker, Peter see Chen, Xiang 

(Bazhanov, V. A.) see van Heijenoort, Jean, 92m:01031 

Berg, Christian (with Liitzen, Jesper) J. Liouville’s unpublished work on an integral 
operator in potential theory. A historical and mathematical analysis. 92a:01036 

Berg, Herman On locating the Babbage-Quetelet letter. Comment on: “Babbage’s letter to 
Quetelet, May 1835” [Ann. Hist. Comput. 5 (1983), no. 3, 263-267; MR 85a:01041] by A. 
W. Van Sinderen. 

(Bessel, Friedrich Wilhelm) see Lavrinovich, K. K. 

(Bienaymé, Irenée Jules) see Bru, Bernard, 92h:01029 

Bierhalter, Ginter Zyklische Zeitvorstellung, Zeitrichtung und die friihen Versuche einer 
Deduktion des Zweiten Hauptsatzes der Thermodynamik. [Cyclical time concept, time 
direction and early attempts at a deduction of the second law of thermodynamics] 
92h:01028 

Biermann, Kurt-R. Wandlungen unseres GauBbildes. [Changes in our perception of Gauss] 
92k:01016 

— Lusus ingenii im Schaffen von C. F. Gau8. [Lusus ingenii in the work of C. F. Gauss] 
92k:01017 

Bissell, C.C. Stodola, Hurwitz and the genesis of the stability criterion. 92a:01037 

(Boltzmann, Ludwig) see D’Agostino, S., 92b:01028 

(Bolzano, Bernard) see Spalt, Detlef D., (924:01023) and Otte, Michael, (92d:01023) 

Bonsiepen, Wolfgang Hegels Theorie des qualitativen Quantitatsverhaltnisses. (English 
summary) [Hegel’s theory of the qualitative ratio of quantity] (see 92d:01023) 

(Boole, George) see de Ledesma, Luis, 92b:01033 and Grattan-Guinness, Ivor, 92c:01022 

(Borel, Emile) see Dugac, Pierre, 92b:01029 and Correspondence: Baire, René-Borel, Emile, 
92m:01033a 

(Brewster, David) see Chen, Xiang 

Brosche, Peter Konjunktionen. Briefe Franz Xaver von Zachs. [Conjunctions. Letters by 
Franz Xaver von Zach] 92b:01027 

(Brougham, Henry) see Chen, Xiang 

Bru, Bernard A la recherche de la démonstration perdue de Bienaymé. (English summary) 
[Remembrance of Bienaymé’s lost proof] 92h:01029 

Brunning, Jacqueline C. S. Peirce’s relative product. 92i:01016 

Buchwald, Jed Z. * The rise of the wave theory of light. 92k:01018 

Casadio, Giuseppina (with Zappa, Guido) History of the Sylow theorem and its proofs. 
(Italian) 92f:01023 

(Castelnuovo, G.) see Gario, Paola, 92j:01033 


01A History of mathematics and mathematicians 


01A55 


(Cauchy, Augustin-Louis) see Hernandez, Jestis, 92b:01031 and Dahan-Dalmédico, Amy, 
92j:01032 

(Cavalieri, Bonaventura) see Moretto, Antonio, (92d:01023) 

Chabert, Jean-Luc Un demi-siécle de fractales: 1870-1920. (English and German sum- 
maries) [A half century of fractals: 1870-1920] 92f:01024 

Chandrasekhar, T. R. Non-Euclidean geometry from early times to Beltrami. 92j:01031 

Chen, Xiang (with Barker, Peter) Cognitive appraisal and power: David Brewster, Henry 
Brougham, and the tactics of the emission-undulatory controversy during the early 1850s. 

Chicano Requena, Josep Ramon The founding of analysis in the nineteenth century: a model 
for the real numbers. (Catalan) 92a:01038 

(Combes, Charles) see Locqueneux, Robert 

D’Agostino, S. Boltzmann and Hertz on the Bild-conception of physical theory. 92b:01028 

Dahan-Dalmédico, Amy La propagation des ondes en eau profonde et ses développements 
mathématiques (Poisson, Cauchy, 1815-1825). (English summary) [Deep-water wave 
propagation and its mathematical developments (Poisson, Cauchy, 1815-1825)] 
92j:01032 

Deakin, Michael A. B. Operational calculus and the Laplace transform. 92e:01043a 

— Corrigendum: “Operational calculus and the Laplace transform”. 92e:01043b 

Dedekind, R. Analytische Untersuchungen zu Bernhard Riemann’s Abhandlungen Uber 
die Hypothesen, welche der Geometrie zu Grunde liegen. [Analytical investigations on 
Bernhard Riemann’s treatise On the hypotheses which are the foundation of geometry] 
92i:01022 

— see also Sinaceur, Mohammed-Allal, 92i:01021 

(Del Pezzo, P.) see Gario, Paola, 92a:01040 

Doncel, Manuel G. On the process of Hertz’s conversion to Hertzian waves. 92h:01030 

Dugac, Pierre Sur la correspondance de Borel et le théor¢me de Dirichlet-Heine- 
Weierstrass-Borel-Schoenflies-Lebesgue. [On the correspondence of Borel and the 
Dirichlet-Heine-Weierstrass-Borel-Schoenflies-Lebesgue theorem] 92b:01029 

Dutka, Jacques Robert Adrain and the method of least squares. 92a:01039 

Edwards, Harold M. A note on Galois theory. 92m:01028 

Eisenstaedt, J. De l’influence de la gravitation sur la propagation de la lumiére en théorie 
newtonienne. L’archéologie des trous noirs. [On the influence of gravitation on the 
propagation of light in Newtonian theory. The archeology of black holes] 92h:01031 

(Engels, Friedrich) see van Heijenoort, Jean, 92m:01031 

Ermolaeva, N.S. Mathematical cartography and D. A. Grave’s method for solving the 
Dirichlet problem. (Russian) 92¢:01044 

Estrada, Maria Fernanda On the origins of symplectic geometry. (Portuguese) (see 
92g:00024) 

Fisch, Menachem * William Whewell, philosopher of science. 92i:01017 

(Fourier, Jean Baptiste Joseph) see Yoshida, Haruyo 

(Frege, Gottlob) see Otte, Michael, (92d:01023) 

(Fries, J. F.) see Schubring, Gert, (92d:01023) 

Fryant, Allan (with Sarma, V.L.N.) Gauss’ first proof of the fundamental theorem of 
algebra. 92b:01030 

Galois, Evariste Discussion on the progress of pure analysis. (Spanish) 92m:01029 

Gario, Paola Resolution of singularities of surfaces by P. Del Pezzo. A mathematical 
controversy with C. Segre. 92a:01040 

— Singularities and geometry of surfaces in C. Segre’s correspondence with G. Castelnuovo. 
(Italian) 92j:01033 

(Gauss, Carl Friedrich) see Waterhouse, William C., 92a:01047; Fryant, Allan, 92b:01030; 
Waterhouse, William C., 92e:01049; Schneider, Ivo, 92j:01041; Biermann, Kurt-R., 
92k:01016; 92k:01017 and Schmidt, Klaus-Jirgen 

Gerasim, I.-Kh. I. On the genesis of Rédei’s theory of the equation x? — Dy? = -1. 
(Russian) 92i:01018 

(Germain, Sophie) see Sampson, J. H., 92c:01024 

(Gibbs, J. Willard) see Klein, M. J., 92d:01019 and Wightman, A. S., 92g:01045 

Gilain, Christian Sur ’histoire du théor¢me fondamental de l’algébre: théorie des équations 
et calcul intégral. [On the history of the fundamental theorem of algebra: the theory of 
equations and integral calculus] 92j:01034 

Gordienko, N. A. The concept of “fraction” in H. Grassmann’s Die Ausdehnungslehre and 
its connection with contemporary linear algebra. (Russian) 92g:01039 

(Goulburn, Henry) see Turvey, Peter J., 92g:01044 

(Grassmann, Hermann) see Gordienko, N. A., 92g:01039 and Otte, Michael, (92d:01023) 

Grattan-Guinness, Ivor * Convolutions in French mathematics, 1800-1840: from the 
calculus and mechanics to mathematical analysis and mathematical physics. Vol. I. 
92h:01032a 

— * Convolutions in French mathematics, 1800-1840: from the calculus and mechanics to 
mathematical analysis and mathematical physics. Vol. II. 92h:01032b 

— * Convolutions in French mathematics, 1800-1840: from the calculus and mechanics to 
mathematical analysis and mathematical physics. Vol. III. 92h:01032c 

— Small talk in Parisian circles, 1800-1830: mathematical mode!s of continuous matter. 
(see 92d:01023) 

— The varieties of mechanics by 1800. (French and German summaries) 92a:01041 

— The correspondence between George Boole and Stanley Jevons, 1863-1864. 92¢:01022 

— Lines of mathematical thought in the electrodynamics of Ampére. 92a:01042 

(Grave, D. A.) see Ermolaeva, N. S., 92e:01044 

Grison, Emmanuel Francois Arago et l’Ecole Polytechnique. [Francois Arago and the Ecole 
Polytechnique] 92f:01025 

Gut, Marie-Josephe Une lettre. [Letter to the editor] 92m:01030 

(Hamilton, W. R.) see Nakane, Michiyo, 92j:01038 

Han, Xiang Lin see Zhang, Su Liang; et al., 92c:01026 

(Hartmann, Friedrich) see Schmidt, Klaus-Jirgen 

Hawkins, Thomas Jacobi and the birth of Lie’s theory of groups. 92j:01035 

(Hegel, G. W. F.) see Moretto, Antonio, (92d:01023); Bonsiepen, Wolfgang, (92d:01023) and 
Klaucke, Andreas, (92d:01023) 

van Heijenoort, Jean F. Engels and mathematics. (Russian) 92m:01031 

(von Helmholtz, H.) see Kul'vetsas, L. L., 92d:01020 

Hensel, Susann (with Ihmig, Karl-Norbert; Otte, Michael) * Mathematik und Technik 
im 19. Jahrhundert in Deutschland. (German) [Mathematics and technology in the 19th 
century in Germany] 92c:01023 








01A55 


(Herbart, J. F.) see Jahnke, Hans Niels, (92d:01023) 

Hernandez, Jess Cauchy and uniform convergence: some notes. (Spanish) 92b:01031 

(Herschel, John) see Turvey, Peter J., 92g:01044 

(Hertz, Heinrich Rudolf) see D’Agostino, S., 92b:01028 

Hofmann, Karl Heinrich Einige Ideen Sophus Lies—hundert Jahre danach. Ein Kolloqui- 
umsvortrag. [Some ideas of Sophus Lie—a hundred years later. A colloquium lecture] 
92b:01032 

— Symmetrie und Homogenitat. [Symmetry and homogeneity] 92m:01032 

Hogan, Edward “A proper spirit is abroad”: Peirce, Sylvester, Ward, and American 
mathematics, 1829-1843. (French and German summaries) 92a:01043 

Houser, Nathan The Schréder-Peirce correspondence. 92i:01019 

Ihmig, Karl-Norbert see Hensel, Susann; et al., 92c:01023 

(Jacobi, Carl Gustav Jacob) see Hawkins, Thomas, 92j:01035 and Nakane, Michiyo 

Jahnke, Hans Niels J. F. Herbart: Nach-Kantische Philosophie und Theoretisierung 
der Mathematik. (English summary) [J. F. Herbart: post-Kantian philosophy and 
theoretization of mathematics] (see 92d:01023) 

(Jevons, William Stanley) see Grattan-Guinness, Ivor, 92c:01022 and Schabas, Margaret, 
924:01021 

Josephy, Michael Remarks on the Spanish translation of the Disquisitiones arithmeticae 


HISTORY AND BIOGRAPHY 


(Rédei, L.) see Gerasim, I.-Kh. I., 92i:01018 

Riedwyl, Hans Rudolf Wolf’s contribution to the Buffon needle problem (an early Monte 
Carlo experiment) and application of least squares. 92j:01039 

(Riemann, Georg Friedrich Bernhard) see Dedekind, R., 92i:01022 

Roche, John J. A critical study of the vector potential. 92j:01040 

(Rowe, David E.) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

(Russell, Bertrand A. W.) see Anellis, Irving H., 92f:01022 

Sagan, Hans Some reflections on the emergence of space-filling curves: the way it could have 
happened and should have happened, but did not happen. 92g:01043 

Sampson, J. H. Sophie Germain and the theory of numbers. 92c:01024 

Sarma, V.L.N. see Fryant, Allan, 92b:01030 

Schabas, Margaret * A world ruled by number. 92d:01021 

Schmidt, Klaus-Jiirgen Erganzungen zur Harztriangulation 1833. Nach GauB’ und Hart- 
manns Briefwechsel mit Oberbergrat Albert. [Supplements concerning the triangulation 
of the Harz area in 1833. Based on the correspondence of Gauss and Hartmann with Di- 
rector of Mining Albert] 

Schneider, Ivo Gauss’ contribution to probability theory. 92j:01041 

(Schréder, Ernst) see Anellis, Irving H., 92f:01022 and Houser, Nathan, 92i:01019 





(Spanish) (see 92e:00013) 

Kahlow, Andreas Thomas Young und die Herausbildung des Begriffs Elastizitatsmodul. 
[Thomas Young and the evolution of the concept of the modulus of elasticity] 92e:01045 

Kipnis, Nahum * History of the principle of interference of light. 92g:01040 

Klaucke, Andreas Hegels Lagrange-Rezeption. (English summary) [Hegel’s understanding 
of Lagrange] (see 924:01023) 

(Klein, Felix) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

Klein, M. J. The physics of J. Willard Gibbs in his time. 92d:01019 

Knobloch, Eberhard The hypothetical nature of mathematical proofs: Gauss and the 
development of error theory. 92j:01036 

(Konig, Gert) see Concepts of the mathematically infinite in the 19th century, 92d:01023 

Kox, A. J. H. A. Lorentz’s contributions to kinetic gas theory. 92a:01044 

Kul'vetsas, L. L. The status of the concept of quantity in physics theory and H. Helmholtz’s 
book Zahlen und Messen. (Russian) 924:01020 

Kuzicheva, Z. A. From the history of the generality and existence operators. (Russian. 
English summary) 92a:01045 

(Lagrange, Joseph Louis) see Tanzi Cattabianchi, Luigi and Klaucke, Andreas, (92d:01023) 

Laita, Luis M. see de Ledesma, Luis, 92b:01033 

Lavrinovich, K. K. Bessel materials in the Leningrad Section of the Archives of the USSR 
Academy of Sciences. (Russian) 

de Ledesma, Luis (with Laita, Luis M.) George Boole. From differential equations to 
mathematical logic. 92b:01033 

Li, E. Herbert (with Tin, S.-K.) The Lobachevskiy’s function and related integrals. 
92j:01037 

(Li, Shan Lan) see Zhang, Su Liang; et al., 92c:01026 

(Lie, Sophus) see Hofmann, Karl Heinrich, 92b:01032 and Hawkins, Thomas, 92j:01035 

Lindgren, Michael The Swedish difference engines. 92g:01041 

(Liouville, J.) see Berg, Christian, 92a:01036 

(Lebachevskii, N.1.) see Li, E. Herbert, 92j:01037 

Locqueneux, Robert Charles Combes (1801-1872): les principes de la “théorie de la chaleur” 
fondés sur des principes métaphysiques. [Charles Combes (1801-1872): the principles of 
the theory of heat founded on metaphysical principles] 

(Lorentz, Hendrik Antoon) see Kox, A. J., 92a:01044 

Litzen, Jesper see Berg, Christian, 92a:01036 

Malykh, A. E. On the solution of some problems in combinatorial theory. (Russian) 
92g:01042 

Mathieu, Jean-Paul Sur le théoréme d’Ampére. [On the theorem of Ampére] 92h:01033 

(Mayer, Adolph) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

(Minkowski, Hermann) see Schwermer, Joachim, 92f:01027 

Montanuy Fillat, M. (with Numiez Espallargas, J. M.; Servat Susagne, J.) The didactic 
component of mathematical memoirs of the Royal Academy of Science and Art of 
Barcelona in the nineteenth century. (Spanish. English summary) (see 92m:00053) 

Moretto, Antonio Hegels Auseinandersetzung mit Cavalieri und ihre Bedeutung fiir seine 
Philosophie der Mathematik. (English summary) [Hegel’s dispute with Cavalieri and its 
significance for his philosophy of mathematics] (see 92d:01023) 

Nakane, Michiyo The role of the three-body problem in W. R. Hamilton’s construction of 
the characteristic function for mechanics. 92j:01038 

— C. G. J. Jacobi’s contribution to the construction of the Hamiltonian formalism. 
(Japanese) 

(Neumann, Franz Ernst) see Trunschke, Andreas, 92a:01046 

(Neumann, O.) see Petrova, S. S., 92b:01034 

Niifiez Espallargas, J. M. see Montanuy Fillat, M.; et al., (92m:00053) 

Ogawa, Tsuyoshi His final step to Hamilton’s discovery of the characteristic function. 
92h:01034 

Otte, Michael Gleichheit und Gegenstindlichkeit in der Begrindung der Mathematik 
im 19. Jahrhundert—dargestellt am Beispiel der Auffassungen von H. Grassmann, B. 
Bolzano und G. Frege. (English summary) [Equality and concreteness in the foundations 
of mathematics in the 19th century—illustrated on the example of the views of H. 
Grassmann, B. Bolzano and G. Frege] (see 92d:01023) 

— see also Hensel, Susann; et al., 92c:01023 

Pavlova, G. E. * Opranu3auua HayKu B Poccuu B nepsoft nonosuHe XIX s. (Russian) 
[Organization of science in Russia in the first half of the nineteenth century] 

(Peirce, Benjamin) see Hogan, Edward, 92a:01043 

(Peirce, Charles S.) see Brunning, Jacqueline, 92i:01016 and Houser, Nathan, 92i:01019 

Petrova, S.S. Vom symbolischen Kalkiil zur Operatorenrechnung. [From symbolic calculus 
to operational calculus] 92b:01034 

Plackett, Robin L. The influence of Laplace and Gauss in Britain. (French summary) 
92¢:01046 

(Poincaré, Henri) see Sheinin, O. B., 92i:01020 

(Poisson, Siméon Denis) see Dahan-Dalmédico, Amy, 92j:01032 

(Quetelet, Adolphe) see Berg, Herman 


Schroeder, Manfred R. Moderne Anwendungen GauB’scher Konzepte aus der Zahlentheo- 
rie. [Modern applications of Gaussian concepts in number theory] 92f:01026 

Schubring, Gert Das mathematisch Unendliche bei J. F. Fries. (English summary) [The 
mathematically infinite in the work of J. F. Fries] (see 92d:01023) 

Schwermer, Joachim Raumliche Anschauung und Minima positiv definiter quadratischer 
Formen. Zur Habilitation von Hermann Minkowski 1887 in Bonn. [Spatial visualization 
and minima of positive definite quadratic forms. On the habilitation of Hermann 
Minkowski 1887 in Bonn] 92f:01027 

(Segre, Corrado) see Gario, Paola, 92a:01040 and 92j:01033 

Serre, Jean-Pierre Erratum: “Letters of René Baire to Emile Borel”. (French) 92m:01033b 

Servat Susagne, J. see Montanuy Fillat, M.; et al., (92m:00053) 

Sheinin, O. B. H. Poincaré’s work on probability. 92i:01020 

Sinaceur, Mohammed-Allal Dedekind et le programme de Riemann. (English summary) 
[Dedekind and the Riemann program] 92i:01021 

Skau, Christian The impossibility of solving the general nth degree equation algebraically 
when n > 5: Abel’s and Ruffini’s proofs revisited. (Norwegian. English summary) 
92e:01047a 

— Erratum: “The impossibility of solving the general nth degree equation algebraically when 
n> 5: Abel’s and Ruffini’s proofs revisited”. (Norwegian) 92¢:01047b 

Spalt, Detlef D. Die Unendlichkeiten bei Bernard Bolzano. (English summary) [The 
infinities in the work of Bernard Bolzano] (see 92d:01023) 

— Die mathematischen und philosophischen Grundlagen des WeierstraBschen Zahlbegriffs 
zwischen Bolzano und Cantor. [The mathematical and philosophical foundations of 
Weierstrass’ concept of number, between Bolzano and Cantor] 92e:01048 

Stigler, Stephen M. Stochastic simulation in the nineteenth century. 92d:01022 

(Sylvester, James Joseph) see Hogan, Edward, 92a:01043 

(Tait, P.G.) see Wilson, David B., 92c:01025 

Takata, Seiji see Yoshida, Haruyo 

Tanzi Cattabianchi, Luigi The relevance today of a contribution by Lagrange to internal 
ballistics. (Italian. English summary) 

Tin, S.-K. see Li, E. Herbert, 92j:01037 

(Tobies, R.) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

Trunschke, Andreas Der K6nigsberger Physiker Franz Ernst Neumann (1798-1895) und 
die PreuBische Akademie der Wissenschaften zu Berlin. [The K6nigsberg physicist Franz 
Ernst Neumann (1798-1895) and the Prussian Academy of Sciences in Berlin] 92a:01046 

Turvey, Peter J. Sir John Herschel and the abandonment of Charles Babbage’s Difference 
Engine No. 1. 92g:01044 

(Van Sinderen, Alfred W.) see Berg, Herman 

(Vogt, Annette) see Petrova, S. S., 92b:01034 

(Ward, Samuel) see Hogan, Edward, 92a:01043 

Waterhouse, William C. Gauss’s first argument for least squares. 92a:01047 

— An elementary interpretation of Entry 12 in Gauss’s Tagebuch. (German summary) 
92e:01049 

(Whewell, William) see Fisch, Menachem, 92i:01017 

Wightman, A.S. On the prescience of J. Willard Gibbs. 92g:01045 

Wilson, David B. P. G. Tait and Edinburgh natural philosophy, 1860-1901. 92c:01025 

(Wolf, Rudolf) see Riedwyl, Hans, 92j:01039 

Yoshida, Haruyo (with Takata, Seiji) The growth of Fourier’s theory of heat conduction 
and his experimental study. 

(Young, Thomas) see Kahlow, Andreas, 92e:01045 

(von Zach, Franz Xaver) see Brosche, Peter, 92b:01027 

Zappa, Guido see Casadio, Giuseppina, 92f:01023 

Zhang, Su Liang A discussion on Cauchy’s thought on calculus. (Chinese. English summary) 
92a:01048 

— (with Han, Xiang Lin) A comparison of Shan Lan Li’s and Newton’s early thinking on 
calculus. (Chinese. English summary) 92c:01026 


Items listed otherwise than by author 
Biography: 
Arago, Francois see Grison, Emmanuel, 92f:01025 
Rédei, Laszl6 see Gerasim, I.-Kh. I., 92i:01018 
Concepts of the mathematically infinite in the 19th century * Konzepte des mathematisch 
Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 
the 19th century] 92d:01023 
Correspondence: 
Babbage, Charles—Quetelet, Adolphe see Berg, Herman 
Baire, René-Borel, Emile Lettres de René Baire a Emile Borel. [Letters of René Baire to 
Emile Borel] 92m:01033a 
Gauss, Carl Friedrich-Albert, Wilhelm August Julius see Schmidt, Klaus-Jirgen 
Hartmann, Friedrich-Albert, Wilhelm August Julius see Schmidt, Klaus-Jirgen 
Klein, Felix-Mayer, Adolph * Korrespondenz Felix Klein—Adolph Mayer. (German) 
[The correspondence of Felix Klein and Adolph Mayer] 92m:01034 





37 1992 


Correspondence: (cont'd. ) 
von Zach, Franz Xaver see Brosche, Peter, 92b:01027 

Konzepte des mathematisch Unendlichen im 19. Jahrhundert * Konzepte des mathematisch 
Unendlichen im 19. Jahrhundert. (German) [Concepts of the mathematically infinite in 
the 19th century] 92d:01023 


Items with secondary classifications in 01A55 

Abbott, Edwin Abbott * Flatland. 92m:01092 

Abeles, Francine F. Lewis Carroll’s method of trees: its origins in Studies in logic. 92c:03001 

Anellis, Irving H. Kant, axiomatics, logic and geometry: review of Logic, [English 
translation, second edition, Dover, New York, 1988; MR 91h:01097] by I. Kant. 

Aref, Hassan (with Rott, Nicholas; Thomann, Hans) Grdbli’s solution of the three-vortex 
problem. 92m:76035 

(Babbage, Charles) see Buxton, H. W., 92b:01050 

(Banchoff, Thomas) see Abbott, Edwin Abbott, 92m:01092 

Belhoste, Bruno * Augustin-Louis Cauchy. 92a:01062 

Bell, David Andrew How “Russellian” was Frege? 92f:03002 

Benvenuto, Edoardo * An introduction to the history of structural mechanics. Part II. 
92a:01008b 

(Bernoulli, Jacob 1) see Slavut-skii, I. Sh., 92m:11001 

Binder, Christa Uber den Briefwechsel Felix Klein—Otto Stolz. [On the correspondence of 
Felix Klein and Otto Stolz] 92b:01049 

(Boltzmann, Ludwig) see von Plato, Jan, 92m:82007 

Borowczyk, Jacques Sur la vie et l’euvre de Francois Budan (1761-1840). (English and 
German summaries) [On the life and works of Francois Budan (1761-1840)] 92c:01043 

Bottazzini, Umberto Pincherle and the theory of analytic functions. (Italian) 92m:01050 

Brooks, John The circular dividing engine: development in England 1739-1843. 
92m:01022 

(Budan, Francois) see Borowczyk, Jacques, 92c:01043 

Buxton, H. W. * Memoir of the life and labours of the late Charles Babbage Esq. F.R.S. 
92b:01050 

Cantoral, Ricardo Formation of the notion of analytic function. (Spanish) 92h:01024 

(Carroll, Lewis) see Abeles, Francine F., 92c:03001 

(Cauchy, Augustin-Louis) see Belhoste, Bruno, 92a:01062 and Laugwitz, Detlef, (92d:01023) 

Chappert, André Augustin Fresnel (1788-1827), ingénieur et théoricien. [Augustin Fresnel 
(1788-1827), engineer and theorist] 92d:01039 

Chern, Shiing Shen Surface theory with Darboux and Bianchi. 92k:53006 

(Condorcet, Antoine, Marquis de) see Lehning, Hervé 

Curtis, Charles W. A century of representation theory of finite groups. 92b:20011 

(Daston, Lorraine J.) see Probabilistic revolution, 92a:01006a 

Demys, Kyril Waves, quanta, E = mc’, and perihelion shifts: a new science-historical 
perspective and mathematical unification. (see 92i:00029) 

Dipert, Randall R. The life and work of Ernst Schréder. 92b:01066 

Dugac, Pierre La théorie des fonctions analytiques de Lagrange et la notion d’infini. (English 
summary) [Lagrange’s theory of analytic functions, and the concept of infinity] (see 
92d:01023) 

(Euler, Leonhard) see Laugwitz, Detlef, (92d:01023) 

Frapolli, Maria J. Is Cantorian set theory an iterative conception of set? (Spanish summary) 
92g:04001 

(Frege, Gottlob) see Garavaso, Pieranna, 92c:03005; Ruffino, Marco Antonio, 92¢:03006; 
Bell, David Andrew, 92f:03002; Weiner, Joan, 92m:03009 and Schwartz, Elisabeth 

(Fresnel, Augustin) see Chappert, André, 92d:01039 

(Gabriel, Gottfried) see Lotze, Rudolf Hermann, 92d:01080a and 92d:01080b 

Gallarati, Dionisio A Steiner theorem. (Italian) 92h:51032 

(Galois, Evariste) see Lehning, Hervé 

Garavaso, Pieranna Frege and the analysis of thoughts. 92c:03005 

(Garcia de Galdeano, Zoel) see Hormigén Blazquez, Mariano, 92a:01067 

(Gauss, Carl Friedrich) see Ribenboim, Paulo, 92h:11002 and Rassias, George M.., 
(92i:00029) 

Giedymin, Jerzy Geometrical and physical conventionalism of Henri Poincaré in epistemo- 
logical formulation. 92¢:00002 

(Gigerenzer, Gerd) see Probabilistic revolution, 92a:01006b 

Grabiner, Judith V. * The calculus as algebra. 92c:01020 

Green, J. A. Classical invariants and the general linear group. 92g:20073 

(Grobli, Walter) see Aref, Hassan; et al., 92m:76035 

Giirsey, Feza Quaternionic and octonionic structures in physics: episodes in the relation 
between physics and mathematics. 92k:01021 . 

Hailperin, Theodore Probability logic in the twentieth century. 92j:01044 

(Harman, P.M.) see Maxwell, James Clerk, 92b:01083 

(Heidelberger, Michael) see Probabilistic revolution, 92a:01006a 

Henry, Paul A question concerning mathematics and the Enlightenment. (Spanish) 
92h:01025 

(Hilbert, David) see Rowe, David E., 92b:01047 

Hineva, Stefana T. (with Tzenova, Ivana) Czech geometers at Sofia University. (Czech) 
92h:01077 

Hofmann, Karl Heinrich Zur Geschichte des Halbgruppenbegriffs. (English and French 
summaries) [On the history of the concept of semigroup] 92m:01037 

Hormander, Lars The first woman professor and her male colleague. 92g:01115 

Hormigén Blazquez, Mariano Garcia de Galdeano’s works on algebra. (French and Spanish 
summaries) 92a:01067 

(von Humboldt, Alexander) see Wattenberg, Diedrich, 92m:01081 

Hutter, K. see Sander, J., 92f:76002 

(Hyman, Anthony) see Buxton, H. W., 92b:01050 

Jahnke, Hans Niels * Mathematik und Bildung in der Humboldtschen Reform. (German) 
[Mathematics and education in Humboldt’s reform] 92h:01084 

(Kant, Immanuel) see Anellis, Irving H. 

Kastrup, Hans A. The contributions of Emmy Noether, Felix Klein and Sophus Lie to the 
modern pt of sy ries in physical systems. 92j:01045 

Kawaguchi, Toshiro A study of Kyuritsu. Mathematical and scientific considerations of 
astronomical phenomena. (Japanese) 92i:01009 











01A History of mathematics and mathematicians 


(Kelvin, William Thomson, Lord) see Smith, Crosbie, 92b:01069 

Kleiman, Steven L. Hieronymus Georg Zeuthen (1839-1920). 92m:01065 

(Klein, Felix) see Rowe, David E., 92b:01047; Binder, Christa, 92b:01049 and Kastrup, Hans 
A., 92j:01045 

Koblitz, Ann Hibner New material on S. V. Kovalevskaya. (Russian) 92h:01056 

Koch, Helga Oskar Xaver Schlémilch—ein Férderer des mathematischen Unterrichts 
fiir Techniker und Ingenieure. [Oskar Xaver Schlémilch—a supporter of mathematical 
instruction for technicians and engineers] 92d:01044 

Koch, Helmut V. * Introduction to classical mathematics. I. 92k:00010 

(Kovalevskaya, S. V.) see Hérmander, Lars, 92g:01115 and Koblitz, Ann Hibner, 92h:01056 

Kracht, Manfred W. (with Kreyszig, Erwin) On singular integral operators and generaliza- 
tions. 92f:47052 

Kreyszig, Erwin see Kracht, Manfred W., 92f:47052 

(Kronecker, Leopold) see Viadut, Sergei G., 92g:11003 

(Kriiger, Lorenz) see Probabilistic revolution, 92a:01006a and 92a:01006b 

(Kummer, Ernst Eduard) see Slavut-skii, I. Sh., 92m:11001 

(Lagrange, Joseph Louis) see Grabiner, Judith V., 92c:01020 and Dugac, Pierre, (92d:01023) 

Lamb, John F., Jr. Archimedes versus Gauss: the construction of a regular heptagon. (see 
92i:00029) 

Laugwitz, Detlef Das mathematisch Unendliche bei Euler und Cauchy. (English summary) 
[The mathematically infinite in the works of Euler and Cauchy] (see 92d:01023) 

(Leff, Harvey S.) see Maxwell’s demon, 92h:82003 

Lehning, Hervé The birth of Galois and the death of Condorcet. 

(Leibniz, Gottfried Wilhelm) see Pepe, Luigi, 92g:01034 

(Lie, Sophus) see Kastrup, Hans A., 92j:01045 

Lotze, Rudolf Hermann * Logik. Erstes Buch: vom Denken (Reine Logik). (German) 
[Logic. First book: on thinking (pure logic)] 92d:01080a 

— * Logik. Drittes Buch: vom Erkennen (Methodologie). (German) [Logic. Third book: on 
cognition (methodology)] 92d:01080b 

(Madzharova, Yana) see Stewart, Ian N., 92m:58001 

Mann, Philip J. see Moon, Parry; et al., 92j:78002 

Maxwell, James Clerk * The scientific letters and papers of James Clerk Maxwell. Vol. I. 
92b:01083 

(Mittag-Leffler, Magnus Gésta) see Hirmander, Lars, 92g:01115 

Moon, Parry (with Spencer, Domina Eberle; Uma, Shama Y.; Mann, Philip J.) The validity 
of Gaussian electrodynamics. 92j:78002 

(Morgan, Mary S.) see Probabilistic revolution, 92a:01006b 

(Noether, Emmy) see Kastrup, Hans A., 92j:01045 

(Olbers, Wilhelm) see Wattenberg, Diedrich, 92m:01081 

Pais, Abraham Conservation of energy. (see 92b:01004) 

(Peano, Giuseppe) see Peckhaus, Volker, 92e:03002 

Peckhaus, Volker Introduction. 92b:01065 

— Ernst Schréder und die “pasigraphischen Systeme” von Peano und Peirce. (English sum- 
mary) [Ernst Schréder and the “pasigraphic systems” of Peano and Peirce] 92e:03002 

(Peirce, Charles S.) see Peckhaus, Volker, 92e:03002 

Pepe, Luigi Leibniz et l’analyse infinitésimale en Italie. [Leibniz and differential and 
integral calculus in Italy] 92g:01034 

Pfister, Albrecht Quadratische Formen. [Quadratic forms] 92a:01058 

von Plato, Jan Boltzmann’s ergodic hypothesis. 92m:82007 

(Poincaré, Henri) see Giedymin, Jerzy, 92e:00002 and Stump, David, 92k:00021 

(Ragland, Frank) see Belhoste, Bruno, 92a:01062 

Rassias, George M. A summary of C. F. Gauss’s life and mathematical work. (see 
92i:00029) 

(Reichardt, Hans) see Obituaries for Berlin mathematicians of the 19th century, 92d:01071 

(Rex, Andrew F.) see Maxwell’s demon, 92h:82003 

Ribenboim, Paulo Gauss and the class number problem. 92h:11002 

(Riemann, Georg Friedrich Bernhard) see Wiederkehr, Karl Heinrich, 92d:01060 

Rott, Nicholas see Aref, Hassan; et al., 92m:76035 

Rowe, David E. Klein, Hilbert, and the Géttingen mathematical tradition. 92b:01047 

Ruffino, Marco Antonio Context principle, fruitfulness of logic and the cognitive value of 
arithmetic in Frege. 92¢:03006 

Sander, J. (with Hutter, K.) On the development of the theory of the solitary wave. A 
historical essay. 92f:76002 

(Schlémilch, Oskar Xaver) see Koch, Helga, 924:01044 

(Schréder, Ernst) see Dipert, Randall R., 92b:01066; Peckhaus, Volker, 92e:03002 and Thiel, 
Christian, 92e:03004 

Schwartz, Elisabeth Le jugement de recognition fregéen et la supposition de détermination 
complete. [The Fregean judgment of recognition and the supposition of complete 
determination] 

Slavut-skii, I. Sh. Outline of the history of research on the arithmetic properties of Bernoulli 
numbers (von Staudt, Kummer, Voronoi). (Russian) 92m:11001 

Smith, Crosbie (with Wise, M. Norton) * Energy and empire. 92b:01069 

Spencer, Domina Eberle see Moon, Parry; et al., 92j:78002 

(Staudt, K.G.C.) see Slavut-skii, I. Sh., 92m:11001 

Stewart, Ian N. The symplectic revolution. (Bulgarian) 92m:58001 

(Stillwell, John C.) see Koch, Helmut V., 92k:00010 

Stolarsky, Kenneth B. Gauss’ gamma multiplication theorem: analogues and extensions. 
92m:33001 

(Stolz, Otto) see Binder, Christa, 92b:01049 

Stump, David Poincaré’s thesis of the translatability of Euclidean and non-Euclidean 
geometries. 92k:00021 

Thiel, Christian Ernst Schroder and the distribution of quantifiers. 92¢:03004 

Thomann, Hans see Aref, Hassan; et al., 92m:76035 

Tobies, R. Warum wurde die Deutsche Mathematiker-Vereinigung innerhalb der 
Gesellschaft deutscher Naturforscher und Arzte gegriindet? Mathematiker-Briefe zur 
Griindungsgeschichte der DMV. [Why was the Union of German Mathematicians 
founded within the Society of German Scientists and Physicians? Mathematicians’ letters 
on the history of the foundation of the DMV] 92d:01075 

(Truesdell, C.) see Benvenuto, Edoardo, 92a:01008b 

(Tsfasman, M. A.) see Viadut, Sergei G., 92g:11003 








01A55 


Tzenova, Ivana see Hineva, Stefana T., 92h:01077 

Uma, Shama Y. see Moon, Parry; et al., 92j:78002 

Vershik, A.M. On the Leningrad Mathematical Society. (Russian) 92¢:01072 

Viadut, Sergei G. * Kronecker’s Jugendtraum and modular functions. 92g:11003 

(Voronoi, G. F.) see Slavut-skii, I. Sh., 92m:11001 

Wattenberg, Diedrich Wilhelm Olbers und Alexander von Humboldt: Begegnungen und 
Wertschatzungen. [Wilhelm Olbers and Alexander von Humboldt: encounters and mutual 
high esteem] 92m:01081 

Weiner, Joan * Frege in perspective. 92m:03009 

Wiederkehr, Karl Heinrich Freunde und Férderer Bernhard Riemanns. Zwei Briefe aus 
seinen letzten Lebensjahren. [Friends and supporters of Bernard Riemann. Two letters 
from the last years of his life] 92d:01060 

Wiggins, David Meaning, truth-conditions, proposition: Frege’s doctrine of sense retrieved, 
resumed and redeployed in the light of certain recent criticisms. 

Wise, M. Norton see Smith, Crosbie, 92b:01069 

Yushkevich, A. P. The French Revolution and the development of mathematics in Russia. 
(Russian) 92a:01035 

(Zeuthen, Hieronymous Georg) see Kleiman, Steven L., 92m:01065 


Items listed otherwise than by author 
Bibliography: 
Babbage, Charles see Buxton, H. W., 92b:01050 
Cauchy, Augustin-Louis see Belhoste, Bruno, 92a:01062 
Frege, Gottlob see Weiner, Joan, 92m:03009 
Lagrange, Joseph-Louis see Grabiner, Judith V., 92c:01020 
Maxwell’s demon * Maxwell’s demon. 92h:82003 
Biography: 
Babbage, Charles see Buxton, H. W., 92b:01050 
Cauchy, Augustin-Louis see Belhoste, Bruno, 92a:01062 
Maxwell, James Clerk see Maxwell, James Clerk, 92b:01083 
Correspondence: 
Cauchy, Augustin-Louis see Belhoste, Bruno, 92a:01062 
Maxwell, James Clerk see Maxwell, James Clerk, 92b:01083 
Maxwell’s demon * Maxwell’s demon. 92h:82003 
Nachrufe auf Berliner Mathematiker des 19. Jahrhunderts * Nachrufe auf Berliner 
Mathematiker des 19. Jahrhunderts. (German) [Obituaries for Berlin mathematicians of 
the 19th century] 92d:01071 
Obituaries for Berlin mathematicians of the 19th century * Nachrufe auf Berliner Mathe- 
matiker des 19. Jahrhunderts. (German) [Obituaries for Berlin mathematicians of the 
19th century] 92d:01071 
Probabilistic revolution * The probabilistic revolution. Vol. 1. 92a:01006a 
— * The probabilistic revolution. Vol. 2. 92a:01006b 


01A60 20th century 


Abramov, A. M. (with Tikhomirov, V.M.) Commentaries on A. N. Kolmogorov’s paper 
“The concepts of value and number” [Istor.-Mat. Issled. No. 32-33 (1990), 474-484; MR 
92g:01051a]. (Russian) 92g:01051b 

Aigner, Martin Diskrete Mathematik. [Discrete mathematics] 92g:01046 

(Aiken, Howard H.) see Cohen, I. Bernard, 92g:01048 

(Aleksandrov, P.S.) see Tobies, R., 92j:01053 and Yushkevich, A. P., 92j:01054 

Al-Hamzawi, Muhammad Rishad On the unification and organization of Arab scientific 
terminology in antiquity and modern times. (Arabic) (see 92m:01002) 

Araki, Huzihiro Some of the legacy of John von Neumann in physics: theory of measure- 
ment, quantum logic, and von Neumann algebras in physics. 92b:01035 

Aramaki, Seiya Development of the renormalization theory in quantum electrodynamics. 
Il. 92c:02027 

Askey, Richard A. Ramanujan and hypergeometric and basic hypergeometric series. 
92k:01019 

— S. Ramanujan and hypergeometric and basic hypergeometric series. (Russian) 92k:01020 

Aspray, William The origins of John von Neumann’s theory of automata. 92b:01036 

(Atakishiev, N. M.) see Askey, Richard A., 92k:01020 

Aubert, Karl Egil Diofantiske likninger i norsk matematikk. Ernst S. Selmer 70 ar. 
(Norwegian. English summary) [Diophantine equations in Norwegian mathematics. 
Ernst S. Selmer is 70 years old] 92a:01049 

Barantsev, R.G. Asymptotic versus classical mathematics. 92g:01047 

Bashmakova, I.G. (with Borodin, A. I.; Gallo, V. F.; Gnedenko, B. V.; Yushkevich, A. 
P.) Inspired by the goddess Clio (on the occasion of G. P. Matvievskaya’s birthday). 
(Russian) 92a:01050 

Bauer, Friedrich L. Kurzer Abri8 der Geschichte der Informatik 1890-1990. [Brief survey 
of the history of information science 1890-1990] 92b:01037 

Beller, Mara Born’s probabilistic interpretation: a case study of “concepts in flux”. 
92b:01038 

Bemelmans, Josef (with Hildebrandt, Stefan; von Wahl, Wolf) Partielle Differentialgle- 
ichungen und Variationsrechnung. [Partial differential equations and calculus of varia- 
tions] 92e:01050 

Birkhoff, Garrett Carathéodory and Harvard. 92i:01023 

— (with Mac Lane, Saunders) A survey of modern algebra: the fiftieth anniversary of its 
publication. 92m:01035 

(Bohr, Niels) see Idlis, G. M., 92g:01050; Dynich, V. I.; et al. and Miller, Arthur I., 
(92b:01004) 

Borel, Armand The work of Chevalley in Lie groups and algebraic groups. 92j:01042 

(Borel, Emile) see Correspondence: Lebesgue, Henri-Borel, Emile, 92m:01045b 

(Born, M.) see Beller, Mara, 92b:01038 

Borodin, A.I. see Bashmakova, I. G.; et al., 92a:01050 

Bott, Raoul H. The topological constraints on analysis. 92b:01039 

(Brouwer, Luitzen Egbertus Jan) see Yushkevich, A. P., 92j:01054 

(Bru, Bernard) see Correspondence: Lebesgue, Henri-Borel, Emile, 92m:01045b 

(Bush, Vannevar) see From Memex to hypertext: Vannevar Bush and the mind’s machine, 
92m:01043 


HISTORY AND BIOGRAPHY 


1992 


Byalko, A. V. Statistics of coefficients in physics formulas. (Russian. English summary) 
92f:01028 

Callens, Stéphane Ensemble, mesure et probabilité selon Emile Borel. (English summary) 
[Set, measure and probability according to Emile Borel] 92a:01051 

(Cambray Niifiez, Rodrigo) see Lowe, Victor, 92a:01054 and 92a:01055 

(Carathéodory, Constantin) see Birkhoff, Garrett, 92i:01023 

(Carnap, Rudolf) see Kohler, Eckehart, 92j:01046 

(Chevalley, Claude) see Borel, Armand, 92j:01042 

Cohen, I. Bernard Howard Aiken and the beginnings of computer science. 92g:01048 

Collatz, Lothar Numerik. [Numerical mathematics] 92b:01040 

Danilov, Yu. A. Nonlinear dynamics: Poincaré and Mandel’shtam. (Russian) 92h:01035 

Darrigol, Olivier Cohérence et complétude de la mécanique quantique: l’exemple de “Bohr- 
Rosenfeld”. (English summary) [Coherence and completeness in quantum mechanics: the 
“Bohr-Rosenfeld” example] 92m:01036 

Demys, Kyril Waves, quanta, E = mc?, and perihelion shifts: a new science-historical 
perspective and mathematical unification. (see 92i:00029) 

(Dickson, Leonard Eugene) see Parshall, Karen V. H., 92b:01046 

Dombrowski, Peter Differentialgeometrie. [Differential geometry] 92a:01052 

(Dugac, Pierre) see Correspondence: Lebesgue, Henri-Borel, Emile, 92m:01045b 

Dynich, V.1. (with El'yashevich, M. A.; Tomil‘chik, L.M.) Features of the first stage of the 
development of Bohr’s theory. 1913-1916. (Russian) 

Efremidze, T. I. M. Gogiberidze and his book Einstein’s theory of relativity and its 
philosophical bases. (Russian) 

(Einstein, Albert) see Ray, Christopher, 92a:01059; Maltese, Giulio, 92e:01053; Navarro 
Veguillas, Luis, 92h:01039 and Miller, Arthur I., (92b:01064) 

Ellis, Wade, Jr. Mathematics and computation: proliferation and fragmentation. 92j:01043 

El'yashevich, M. A. see Dynich, V. L.,; et al. 

(Enriques, Federigo) see Nastasi, Pietro 

(Ewing, John H.) see Paul Halmos, 92m:01044 

Filippova, G. V. see Markush, I. I., 92m:01038 

(Frege, Gottlob) see Kaschmieder, Hartfried, 92f:01029 

(Frobenius, Georg Ferdinand) see Williams, Floyd L., 92g:01059 

Gaier, Dieter Uber die Entwicklung der Funktionentheorie in Deutschland von 1890 bis 
1950. [On the evolution of function theory in Germany from 1890-1950] 92b:01041 

Gallo, V. F. see Bashmakova, I. G.; et al., 92a:01050 

Gario, Paola Some recently discovered letters of Corrado Segre. (Italian. English summary) 
92d:01024 

— The classical theory of equisingularity for plane curves. (Italian) 92d:01025 

(Gehring, F. W.) see Paul Halmos, 92m:01044 

(Gentile, Giovanni) see Nastasi, Pietro 

Gnedenko, B. V. see Bashmakova, I. G.; et al., 92a:01050 

(Gédel, Kurt Friedrich) see Kreisel, Georg, 92c:01031; 92c:01032; Kohler, Eckehart, 
92j:01046 and Moore, Gregory H., 92j:01047 

(Gogiberidze, M.1.) see Efremidze, T. I. 

Gong, Yao Nan Methodology in computational mechanics and its development in China. 
(see 92i:00013) 

Gray, Jeremy Did Poincaré say “set theory is a disease”? 92c:01028 

Gruber, Peter Manfred Zur Geschichte der Konvexgeometrie und der Geometrie der 
Zahlen. [On the history of convex geometry and the geometry of numbers] 92c:01029 

Girsey, Feza Quaternionic and octonionic structures in physics: episodes in the relation 
between physics and mathematics. 92k:01021 

(Hadamard, Jacques) see Yushkevich, A. P., 92j:01054 

Hailperin, Theodore Probability logic in the twentieth century. 92j:01044 

(Halmos, Paul R.) see Paul Halmos, 92m:01044 

Hazra, Mrityunjoy Development of complex variables in India (a brief history). 

(Heisenberg, Werner Karl) see Miller, Arthur I., (92b:01004) 

Henn, Hans-Werner (with Puppe, Dieter) Algebraische Topologie. [Algebraic topology] 
92b:01042 

Hentschel, Klaus * Interpretationen und Fehlinterpretationen der speziellen und der allge- 
meinen Relativitatstheorie durch Zeitgenossen Albert Einsteins. (German) [Interpreta- 
tions and wrong interpretations of special and general relativity theory by contemporaries 
of Albert Einstein] 92g:01049 

(Hilbert, David) see Rowe, David E., 92b:01047 

Hildebrandt, Stefan see Bemelmans, Josef; et al., 92e:01050 

Hofmann, Karl Heinrich Zur Geschichte des Halbgruppenbegriffs. (English and French 
summaries) [On the history of the concept of semigroup] 92m:01037 

Idlis, G. M. The unity of natural science according to Bohr and uniform interconnected 
periodic systems in physics, chemistry, biology and psychology. I. (Russian) 92g:01050 

Israel, Giorgio (with Nurzia, L.) Fundamental trends and conflicts in Italian mathematics 
between the two world wars. 92c:01030 

Jahnke, Hans Niels Hilbert, Weyl und die Philosophie der Mathematik. [Hilbert, Weyl and 
the philosophy of mathematics] 92b:01043 

(Kahn, Paul) see From Memex to hypertext: Vannevar Bush and the mind’s machine, 
92m:01043 

Kamlah, Andreas The causal relation as the most fundamental fact of the world. Comments 
on H. Reichenbach’s paper: “The space problem in the rew quantum mechanics” 
[Erkenntnis 35 (1991), no. 1-3, 29-47; 92j:01050]. 92j:01051 

Kaschmieder, Hartfried * Beurteilbarer Inhalt und Gedanke in der Philosophie Gottlob 
Freges. (German) [Judgeable content and thought in the philosophy of Gottlob Frege] 
92f:01029 

Kastrup, Hans A. The contributions of Emmy Noether, Felix Klein and Sophus Lie to the 
modern concept of symmetries in physical systems. 92j:01045 

(Klein, Felix) see Rowe, David E., 92b:01047 and Kastrup, Hans A., 92j:01045 

Kohler, Eckehart Gédel and Carnap in Vienna. 92j:01046 

Kolmogorov, A. N. The concepts of value and number. (Russian) 92g:01051a 

— see also Abramov, A. M., 92g:01051b 

Komatsu, Hikosaburo Operational calculus and Japan. 92a:01053 

Kozhevnikov, A. B. Einstein’s formula for fluctuations and particle-wave dualism. (Russian) 
92e:01051 

(Kratko, M.1.) see Luzin, N. N., 92h:01037 





39 1992 


Kreisel, Georg Book review: Collected works, Vol. I {Oxford Univ. Press, New York, 1986; 
MR 87h:01096] by K. Gédel. 92c:01031 

— Review of K. Gédel’s Collected works, Vol. II [Oxford Univ. Press, New York, 1990; MR 
91b:C 1093]. 92c:01032 

Kreyszig, Erwin Friedrich Riesz als Wegbereiter der Funktionalanalysis. [Frigyes Riesz as a 
pioneer of functional analysis] 92c:01033 

Kutateladze, S.S. Directions in nonstandard analysis. (Russian) 92c:01034a 

— Credenda of nonstandard analysis [translation of Trudy Inst. Mat. (Novosibirsk) 14 
(1989), Sovrem. Probl. Geom. Analiz., 153-182; MR 92c:01034a]. 92c:01034b 

Lakshmikantham, V. Recent advances in the stability theory of nonlinear systems. 
92h:01036 

(Lappo-Danilevskii, I. A.) see Popova, N. Ya., 92i:01024 

Lax, Peter D. The flowering of applied mathematics in America. 92c:01035 

(Lebesgue, Henri) see Correspondence: Lebesgue, Henri-Borel, Emile, 92m:01045b 

Leis, Rolf Zur Entwicklung der angewandten Analysis und mathematischen Physik in 
den letzten hundert Jahren. [On the development of applied analysis and mathematical 
physics in the last hundred years] 92e:01052 

(Lie, Sophus) see Kastrup, Hans A., 92j:01045 

Lowe, Victor The first period of the works of Whitehead (ca. 1891-1913): Universal algebra 
and Principia mathematica. 1.(Spanish) 92a:01054 

— The first period of the works of Whitehead. II. (Spanish) 92a:01055 

Luzin, N. N. A letter from N. N. Luzin to I. M. Vinogradov. (Russian) 92h:01037 

Mackey, George W. von Neumann and the early days of ergodic theory. 92a:01056 

Mac Lane, Saunders see Birkhoff, Garrett, 92m:01035 

Maiocchi, Roberto The case of Brownian motion. 924:01026 

Maltese, Giulio The rejection of the Ricci tensor in Einstein’s first tensorial theory of 
gravitation. 92e:01053 

Markush, I. 1. (with Filippova, G. V.) Ya. D. Tamarkin’s investigations on asymptotic 
methods in the theory of ordinary linear differential equations that contain a large 
parameter. (Russian) 92m:01038 

Mathias, A.R. D. Logic and terror. 92m:01039 

(Matvievskaya, G. P.) see Bashmakova, I. G.; et al., 92a:01050 


Mawhin, Jean L. Integration and the fundamental theory of ordinary differential equations: 


a historical sketch. 92h:01038 

McLarty, Colin The uses and abuses of the history of topos theory. 92b:01044 

McManus, Douglas A. Who invented local power analysis? 92g:01052 

Michler, Gerhard O. Vom Hilbertschen Basissatz bis zur Klassifikation der endlichen 
einfachen Gruppen. [From Hilbert’s basis theorem to the classification of finite simple 
groups] 92b:01045 

Miller, Arthur I. Symmetry and imagery in the physics of Bohr, Einstein and Heisenberg. 
(see 92b:01004) 

Monastyrskii, M.1I. The Fields Prize. (Russian) 92k:01022 

Moore, Gregory H. Sixty years after Gédel. 92j:01047 

Morawetz, Cathleen S. The last 75 years: giants of applied mathematics. 92j:01048 

Murray, F. J. The rings of operators papers. 92c:01036 

Narasimhan, Raghavan The coming of age of mathematics in India. 92j:01049 

Nastasi, Pietro Institutional aspects of the history of science in Italy between the two world 
wars. (Italian. English summary) 

Navarro Veguillas, Luis On Einstein’s statistical-mechanical approach to the early quantum 
theory (1904-1916). 92h:01039 

Neukirch, Jiirgen Algebraische Zahlentheorie. [Algebraic number theory] 92a:01057 

(von Neumann, John) see Mackey, George W., 92a:01056; Araki, Huzihiro, 92b:01035; 
Aspray, William, 92b:01036 and Ornstein, Donald S., 92d:01027 

(Noether, Emmy) see Kastrup, Hans A., 92j:01045 

Nurzia, L. see Israel, Giorgio, 92c:01030 

(Nyce, James M.) see From Memex to hypertext: Vannevar Bush and the mind’s machine, 
92m:01043 

Objartel, Christian Zur Geschichte der Progr 
ming languages] 92g:01053 

Ornstein, Donald S. von Neumann and ergodic theory. 92d:01027 

Pais, Abraham Conservation of energy. (see 92b:01004) 

Parshall, Karen V. H. A study in group theory: Leonard Eugene Dickson’s Linear groups. 
92b:01046 

(Peano, Giuseppe) see Zaitsev, E. A., 92d:01032 and Rodriguez Consuegra, Francisco, 
92e:01054 

Peckhaus, Volker * Hilbertprogramm und Kritische Philosophie. (German) [The Hilbert 
program and critical philosophy] 92g:01054 

Pfister, Albrecht Quadratische Formen. [Quadratic forms] 92a:01058 

Pikus, D. L. see Popova, N. Ya., 92i:01024 

(Poincaré, Henri) see Gray, Jeremy, 92c:01028 

Popova, N. Ya. (with Pikus, D. L.) I. A. Lappo-Danilevskii’s generalization of a problem of 
Riemann. (Russian) 92i:01024 

Prugovetki, Eduard Realism, positivism, instrumentalism, and quantum geometry. 
92m:01040 

Przeworska-Rolewicz, Danuta Prodigious mystery of genuine analysis. 92c:01037 

Puppe, Dieter see Henn, Hans-Werner, 92b:01042 

Radulet, Remus Evolutions et états dynamiques et statistiques dans les sciences physiques. 
[Evolutions and dynamical and statistical states in the physical sciences] 92k:01023 

(Ramanujan, Srinivasa) see Venkatachaliengar, K., 92a:01061 

Ray, Christopher The cosmological constant: Einstein’s greatest mistake? 92a:01059 

Reichenbach, Hans The space problem in the new quantum mechanics. 92j:01050 

— see also Salmon, Wesley C., 92g:01055 and Kamlah, Andreas, 92j:01051 

Remmert, Reinhold Complex analysis in the golden fifties. 92m:01041 

(Riesz, Frigyes) see Kreyszig, Erwin, 92c:01033 

Rodriguez Consuegra, Francisco Logistic elements in the work of Peano and his school. 
(Spanish) 92e:01054 

— Bertrand Russell 1900-1913: principles of mathematics. I. (Spanish) 92¢:01055a 

— Bertrand Russell 1900-1913: principles of mathematics. II. (Spanish) 92e:01055b 

Rowe, David E. Klein, Hilbert, and the Géttingen mathematical tradition. 92b:01047 

(Russell, Bertrand A. W.) see Rodriguez Consuegra, Francisco, 92e:01055a and 92e:01055b 





iersprachen. [On the history of program- 


01A History of mathematics and mathematicians 


01A60 


Saccoman, J.J. Extension theorems by Helly and Riesz revisited. (Italian summary) 
92i:01025 

Sachs, Mendel Einstein and the evolution of twentieth-century physics. (French summary) 
92c:01038 

Salam, Abdus From a life of physics. 92m:01042 

— The Gell-Mann age of particle physics. (see 92h:81004) 

Salmon, Wesley C. Hans Reichenbach’s vindication of induction. 92g:01055 

(Savina, G. A.) see Luzin, N. N., 92h:01037 

Scanlan, Michael Who were the American postulate theorists? 92g:01056 

Schimming, Rainer (with Schmidt, Hans-Jiirgen) On the history of fourth order metric 
theories of gravitation. 92d:01028 

Schmidt, Hans-Jiirgen see Schimming, Rainer, 92d:01028 

Schiitte, Kurt (with Schwichtenberg, Helmut) Mathematische Logik. [Mathematical logic] 
92a:01060 

Schwarz, Wolfgang Karl Geschichte der analytischen Zahlentheorie seit 1890. [History of 
analytic number theory since 1890] 92c:01039 

Schwichtenberg, Helmut see Schiitte, Kurt, 92a:01060 

(Scorza, Gaetano) see Zappa, Guido, 92h:01041 

(Segre, Corrado) see Gario, Paola, 92d:01024 

(Selmer, Ernst S.) see Aubert, Karl Egil, 92a:01049 

Shafarevich, I. R. Abelian and nonabelian mathematics. 92b:01048 

Simms, John C. Sierpitiski’s theorem. 92j:01052 

Simon, Raul A. Some interesting points of Eddington’s fundamental theory. (French 
summary) 924:01029 

Sugiura, Mitsuo Hilbert’s problems. I. (Japanese) 92h:01040 

— Hilbert’s Third Problem. (Japanese) 

(Suslov, S. K.) see Askey, Richard A., 92k:01020 

(Tamarkin, Ya. D.) see Markush, I. I., 92m:01038 

Tikhomirov, V.M. see Abramov, A. M., 92g:01051b 

Tobies, R. Contact between Soviet and German mathematicians: P. S. Aleksandrov and 
German mathematics. (Russian) 92j:01053 

Tomil’chik, L. M. see Dynich, V. 1; et al. 

(Uryson, P.S.) see Yushkevich, A. P., 92j:01054 

(Vacca, Giovanni) see Nastasi, Pietro 

Venkatachaliengar, K. Ramanujan manuscripts. I]. 92a:01061 

(Vinogradov, I. M.) see Luzin, N. N., 92h:01037 

Vizgin, V1. P. Reception of Schrédinger’s wave mechanics in the USSR. (Russian) 
92d:01030 

Vollrath, Hans-Joachim Betrachtungen zur Entwicklung der Algebra in der Lehre. 
[Reflections on the development of algebra in teaching] 92d:01031 

Vyborny, Rudolf Operational calculus, Laplace transform or an algebraic approach. 
92g:01057 

von Wahl, Wolf see Bemelmans, Josef; et al., 92e:01050 

Wermer, John Function algebras in the fifties and sixties. 92g:01058 

(Whitehead, Alfred North) see Lowe, Victor, 92a:01054 and 92a:01055 

Williams, Floyd L. History and variation on the theme of the Frobenius reciprocity 
theorem. 92g:01059 

Yushkevich, A. P. Two letters from L. E. J. Brouwer to J. Hadamard (concerning the 
biographies of P. S. Aleksandrov and P. S. Uryson). (Russian) 92j:01054 

— see also Bashmakova, I. G.; et al., 92a:01050 

Zaitsev, E. A. The semantic structure of G. Peano’s logic. (Russian) 92d:01032 

Zappa, Guido The papers of Gaetano Scorza on group theory. (Italian. English summary) 
92h:01041 

(Zdravkovska, Smilka) see Shafarevich, I. R., 92b:01048 


Items listed otherwise than by author 
Bibliography: 
Russell, Bertrand A. W. see Rodriguez Consuegra, Francisco, 92e:01055b 
Salam, Abdus see Salam, Abdus, 92m:01042 
Biography: 
Matvievskaya, G. P. see Bashmakova, I. G.; et al., 92a:01050 
Salam, Abdus see Salam, Abdus, 92m:01042 
Birthday: 
Halmos, Paul Richard * Paul Halmos. 92m:01044 
Matvievskaya, G. P. see Bashmakova, I. G.; et al., 92a:01050 
Correspondence: 

Aleksandrov, P.S. see Tobies, R., 92j:01053 

Brouwer, L. E. J.-Hadamard, Jacques see Yushkevich, A. P., 92j:01054 

Lebesgue, Henri-Borel, Emile Lettres d’Henri Lebesgue a Emile Borel. [Letters of Henri 
Lebesgue to Emile Borel] 92m:01045b 

Luzin, N. N.-Vinogradov, I. M. see Luzin, N. N., 92h:01037 

From Memex to hypertext: Vannevar Bush and the mind’s machine * From Memex to 
hypertext: Vannevar Bush and the mind’s machine. 92m:01043 

Paul Halmos * Paul Halmos. 92m:01044 

Proceedings: 

Seminar on the History of Mathematics * Cahiers du Séminaire d’Histoire des 
Mathématiques. 12. (French) [Proceedings of the Seminar on the History of Mathe- 
matics. 12] 92m:01045a 

Seminar: 

History of Mathematics * Cahiers du Séminaire d’Histoire des Mathématiques. 
12. (French) [Proceedings of the Seminar on the History of Mathematics. 12] 
92m:01045a 


Items with secondary classifications in 01A60 

Afraimovich, V.S. On attractors. (Russian) 92h:58120 

Ahibrandt, Calvin D. Variational inequalities. 92k:26039 

Amaldi, Edoardo The Fermi-Dirac statistics and the statistics of nuclei. (see 92b:01004) 
Anderson, T. W. Trygve Haavelmo and simultaneous equation models. 924:62138 
Andrews, George E. A formula of Ramanujan from the lost notebook. 92d:11115 

— A page from Ramanujan’s lost notebook. 92b:11072 











01A60 


— (with Hickerson, Dean) Ramanujan’s “lost” notebook. VII. The sixth order mock theta 
functions. 92i:11027 

Anellis, Irving H. From semantic tableaux to Smullyan trees: a history of the development 
of the falsifiability tree method. 92a:03001 

Anger, Gottfried Some remarks on the relationship between mathematics and physics and 
on inverse problems. (see 92a:00040) 

(Antoine, Louis) see Conference: Antoine, Louis, 92c:01054 

(Ariew, Roger) see Pierre Duhem: historian and philosopher of science, 92f:01004a and 
92f:01004b 

(Aristotle) see Maudlin, Tim, 92a:00023 

Aspray, William * John von Neumann and the origins of modern computing. 924:01034 

Axler, Sheldon Paul Halmos and Toeplitz operators. (see 92m:01044) 

(Baire, René) see Correspondence: Baire, René-Borel, Emile, 92m:01033a 

(Barker, Peter) see Pierre Duhem: historian and philosopher of science, 92f:01004a and 
921:01004b 

(Barut, A. O.) see de Broglie, Louis, 924:81001 

Bell, David Andrew How “Russellian” was Frege? 92f:03002 

Benz, Walter Grundlagen der Geometric. Urspriinge und Fortentwicklung anhand 
ausgewahiter Beispiele. [Foundations of geometry. Origins and evolution, using selected 
examples] 92c:51001 

Bergia, Silvio Who discovered the Bose-Einstein statistics? (see 92b:01004) 

Biggs, N. L. (with Lloyd, E. Keith; Wilson, Robin James) The historical background to 
Gerhard Ringel’s work. 92m:01062 

Bissell, C.C. Secondary sources for the history of control engineering: an annotated 
bibliography. 92f:93001 

Bleuler, Konrad Wolfgang Pauli—iiber seir. Werk und seine Ideen zu den Grundlagen der 
Physik. [Wolfgang Pauli—on his work and his ideas about the foundations of physics] 
92g:01066a 

— Wolfgang Pauli: his scientific work and his ideas on the foundations of physics. 
92g:01066b 

Blizard, Wayne D. The development of multiset theory. 92i:04001a 

— Correction to: “The development of multiset theory”. 92i:04001b 

(Bohr, Niels) see Hooker, C. A., 92h:00006 

(Boltzmann, Ludwig) see von Plato, Jan, 92m:82007 

(Borel, Emile) see Dugac, Pierre, 92b:01029 and Correspondence: Baire, René-Borel, Emile, 
92m:01033a 

Borwein, Peter B. (with Moser, William O. J.) A survey of Sylvester’s problem and its 
generalizations. 92b:52010 

(Brandl, Johannes) see Wittg 
92a:00026c 

de Broglie, Louis * Heisenberg’s uncertainties and the probabilistic interpretation of wave 
mechanics. 924:81001 

(Brouwer, Luitzen Egbertus Jan) see van Stigt, Walter P., 92d:01054 

de Bruijn, N.G. Mathematics and computers. 92j:00026 

Calude, Cristian (with Marcus, Solomon) Sudan’s recursive but not primitive recursive 
function: a retrospective look. 92a:03060 

Cao, Tian Yu The Reggeization program 1962-1982: attempts at reconciling quantum field 
theory with S-matrix theory. 92f:81005 

(Carathéodory, Constantin) see Kracht, Manfred W., 92g:49001 and Pier, Jean-Paul, 
92m:28002 

(Carnap, Rudolf) see Jeffrey, Richard C.; Moulines, C.-Ulises; Hintikka, Jaakko and Reyes 
Rivas, Roxana, (92e:00013) 

Cartan, Henri Sur quelques progrés dans la théorie des fonctions analytiques de variables 
complexes entre 1930 et 1950. [On some advances in the theory of analytic functions of 
complex variables between 1930 and 1950] 92i:32001 

— see also Serre, Jean-Pierre, 92j:32002 

Cassidy, David C. Heisenberg, uncertainty and the quantum revolution. 

Cattaneo, Gianpiero (with Nisticd, Giuseppe) Axiomatic foundations of quantum physics: 
critiques and misunderstandings. Piron’s question-proposition system. 92m:81021 





ds a re-evaluation, 92a:00026a; 92a:00026b and 


Cavaliere, Fania Review-essay of N. A. Vasil'ev’s Imaginary logic [(Russian), edited by V. A. 


Smirnov, “Nauka”, Moscow, 1989; MR 91b:01100]. (Italian. English summary) 

Chabert, Jean-Luc Un demi-siécle de fractales: 1870-1920. (English and German sum- 
maries) [A half century of fractals: 1870-1920] 92f:01024 

Cohen, Daniel I. A. The superfluous paradigm. (see 92h:00013) 

Corli, Andrea (with Rodino, Luigi) The problem of the local solvability of the linear partial 
differential equations. 92m:35007 

Crow, James F. Fisher’s contributions to genetics and evolution. 92b:01051 

Curtis, Charles W. A century of representation theory of finite groups. 92b:20011 

van Dalen, D. Heyting and intuitionistic geometry. 92i:03066 

Deakin, Michael A. B. Operational calculus and the Laplace transform. 92¢e:01043a 

— Corrigendum: “Operational calculus and the Laplace transform”. 92¢:01043b 

Deltete, Robert (with Guy, Reed) Einstein and EPR. 92g:81001 

Detlefsen, Michael On an alleged refutation of Hilbert’s program using Gédel’s first 
incompleteness theorem. 92b:03057 

Dieudonné, Jean De l’analyse fonctionnelle aux fondements de la géométrie algébrique. 
[From functional analysis to the foundations of algebraic geometry] 92c:01053c 

(Dingler, Hugo) see Wei8, Ulrich, 92k:00022 

(Doeblin, Wolfgang) see Lindvall, Torgny, 92k:01036 

Donato, Jerry Path dependent analysis. 92e:58005 

Doncel, Manuel G. From magnet reversal to time reversal. (see 92b:01004) 

Doob, J. L. Probability vs. measure. (see 92m:01044) 

Dreben, Burton (with Floyd, Juliet) Tautology: how not to use a word. 

Drijevié, Hamid On the representation of functionals and the stability of mappings in 
Hilbert and Banach spaces. 92h:46001 

Drucker, Thomas History and grammar. 92j:03058 

Dugac, Pierre Sur la correspondance de Borel et le théor¢me de Dirichlet-Heine- 
Weierstrass-Borel-Schoenflies-Lebesgue. [On the correspondence of Borel and the 
Dirichlet-Heine-Weierstrass-Borel-Schoenflies-Lebesgue theorem] 92b:01029 

(Duhem, Pierre) see Pierre Duhem: historian and philosopher of science, 92f:01004a and 
92f:01004b 





HISTORY AND BIOGRAPHY 





1992 40 


Duistermaat, J.J. M. Riesz’s families of operators. 92j:01064b 

Dutta, M. (with Dutta, T.) Axiomatisation of thermodynamics. 92h:80001 

Dutta, T. see Dutta, M., 92h:80001 

Edwards, A. W. F. Fisher, W, and the fundamental theorem. 92b:61052 

Edwards, Harold M. A note on Galois theory. 92m:01028 

(Egorov, D. F.) see Ford, Charles E.. 92c:01061 

Ehrenfest, Paul (with loffe, A. F.) * Hayanas nepenucka. 1907-1933 rr. (Russian) 
[Scientific correspondence. 1907-1933] 92d:01076 

(Einstein, Albert) see Maudlin, Tim, 92a:00023; Navarro Veguillas, Luis, 92g:01091; Deltete, 
Robert, 92g:81001; Hooker, C. A., 92h:00006 and Stachel, John, (92f:83003) 

Ermolaeva, N.S. Mathematical cartography and D. A. Grave’s method for solving the 
Dirichlet problem. (Russian) 92¢:01044 

Faddeev, L. D. A mathematician’s view of the development of physics. (see 92d:00038) 

Fan, Ky Some aspects of the development of linear algebra in the last sixty years. 92k:15005 

Feichtinger, Hans G. An elementary approach to the generalized Fourier transform. 
92h:46055 

Feng, Ke Qin (with Lu, Hong Wen) Some developments on algebraic number theory in 
China. 92m:11115 

(Fienberg, S. E.) see Statistical model, 92a:01079 

Filter, Wolfgang (with Labuda, Iwo) Essays on the Orlicz-Pettis theorem. I. The two 
theorems. 92e:46003 

(Fisher, Ronald Aylmer) see Crow, James F., 92b:01051 and Edwards, A. W. F., 92b:01052 

Floyd, Juliet Wittgenstein on 2,2, 2---: the opening of remarks on the foundations of 
mathematics. 

— see also Dreben, Burton 

Ford, Charles E. Dmitrii Egorov: mathematics and religion in Moscow. 92c:01061 

Frapolli, Maria J. Is Cantorian set theory an iterative conception of set? (Spanish summary) 
92g:04001 

(Frege, Gottlob) see Garavaso, Pieranna, 92c:03005 and Bell, David Andrew, 92:03002 

(Frenkel’, V. Ya.) see Ehrenfest, Paul, 92d:01076 

Friedman, Michael The re-evaluation of logical positivism. 

Fritzsche, Bernd (with Kirstein, Bernd) Schuranalysis—Umfassende Entfaltung einer 
mathematischen Methode. [Schur analysis—comprehensive evolution of a mathematical 
method] (see 92m:00034) 

(Fu, Zi Zhi) see Advances in applied mathematics and mechanics in China, 92i:00013 

Garavaso, Pieranna Frege and the analysis of thoughts. 92c:03005 

(Garcia de Galdeano, Zoel) see Hormigén Blazquez, Mariano, 92a:01067 

Gavroglu, Kostas (with Goudaroulis, Yorgos) Quantum mechanics and macroscopic 
quantum phenomena: the case of superconductivity and superfluidity. (German 
summary) 92¢:81004 

Gell-Mann, Murray Particle theory from S-matrix to quarks. (see 92b:01004) 

Gerasim, I.-Kh. I. On the genesis of Rédei’s theory of the equation x? — Dy? = -1. 
(Russian) 92i:01018 

Gerrard, Steve Wittgenstein’s philosophies of mathematics. 

(Gibbs, J. Willard) see Wightman, A. S., 92g:01045 

Giedymin, Jerzy Geometrical and physical conventionalism of Henri Poincaré in epistemo- 
logical formulation. 92¢:00002 

(Gigerenzer, Gerd) see Probabilistic revolution, 92a:01006b 

Gilain, Christian Sur "histoire du théor¢me fondamental de l’algébre: théorie des équations 
et calcul intégral. [On the history of the fundamental theorem of algebra: the theory of 
equations and integral calculus] 92j:01034 

(Gédel, Kurt Friedrich) see Wang, Hao', 92a:01078a; 92a:01078b; Gédel’s theorem in focus, 
92c:03007; Wang, Hao! , 92g:00010 and Yourgrau, Palle, 92j:00020 

Gondard-Cozette, Danielle Le 17¢me probléme de Hilbert et ses développements récents. 
[Hilbert’s 17th problem and recent developments] 92k:12003 

Gonska, Heinz H. (with Knoop, H.-B.) On Hermite-Fejér interpolation: a bibliography 
(1914-1987). 92d:41003 

Goodman, Nicolas D. Modernizing the philosophy of mathematics. 92¢:00003 

Goudaroulis, Yorgos see Gavroglu, Kostas, 92e:81004 

Grattan-Guinness, Ivor Bertrand Russell (1872-1970) after twenty years. 92e:01058 

Grauert, Hans The methods of the theory of functions of several complex variables. 
92j:32001 

(Grave, D. A.) see Ermolaeva, N. S., 92e:01044 

Green, J. A. Classical invariants and the general linear group. 92g:20073 

(Grothendieck, Alexander) see Dieudonné, Jean, 92c:01053c 

Guan, Mei Gu Graph theory in China. 92e:05118 

Ginther, Paul Huygens’ principle and Hadamard’s conjecture. 92¢:35002 

Guy, Reed see Deltete, Robert, 92g:81001 

(Haavelmo, Trygve) see Anderson, T. W., 92d:62138 

Hailperin, Theodore Herbrand semantics, the potential infinite, and ontology-free logic. 
92m:03005 

(Haller, Rudolf) see Wittg i 
92a:00026c 

Halmos, Paul R. * Matrices I have met. 92e:15002 

— see also Axler, Sheldon, (92m:01044) 

(Hartmanis, Juris) see Stearns, Richard E., (92d:68055) 

Healey, Richard A. * The philosophy of quantum mechanics. 92m:81012 

Hearn, Anthony C. Algebraic computation: the quiet revolution. (see 92f:68002) 

(Heisenberg, Werner Karl) see Cassidy, David C. 

(von Helmholtz, H.) see Kul’vetsas, L. L., 92d:01020 

(Hersh, Reuben) see Tharp, Leslie H., 92i:03007 

(Heyting, Arend) see van Dalen, D., 92i:03066 

Hickerson, Dean see Andrews, George E., 92i:11027 

Hilbert, David (with Schmidt, Erhard) * Integralgleichungen und Gleichungen mit 
unendlich vielen Unbekannten. (German) [Integral equations and equations with 
infinitely many unknowns] 92b:01081 

Hintikka, Jaakko Carnap, the universality of language and extremality axioms. 

Hirzebruch, Friedrich One hundred years of the Deutsche Mathematiker-Vereinigung. 
92d:01074 

(Hoaglin, D.C.) see Statistical model, 92a:01079 





ds a re-evaluation, 92a:00026a; 92a:00026b and 


41 1992 


Hofmann, Karl Heinrich Einige Ideen Sophus Lies—hundert Jahre danach. Ein Kolloqui- 
umsvortrag. [Some ideas of Sophus Lie—a hundred years later. A colloquium lecture] 
92b:01032 

Hooker, C. A. Projection, physical intelligibility, objectivity and completeness: the divergent 
ideals of Bohr and Einstein. 92h:00006 

Hormigén Blézquez, Mariano Garcia de Galdeano’s works on algebra. (French and Spanish 
summaries) 92a:01067 

Hu, Guo Ding (with Zhang, Zhao Zhi; Shen, Shi Yi) The study and development of 
probability problems in information theory in China. (see 92g:60003) 

(Hunt, J.C. R.) see Turbulence and stochastic processes: Kolmogorov’s ideas 50 years on, 
92e:00012 

Hutter, K. see Sander, J., 92f:76002 

Ibragimov, I. A. see Khas'minskii, R. Z., 92b:62049 

(Iitaka, Shigeru) see Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigerulitaka, Shigefumi Mori and Yujiro Kawamata 

Ingrao, Bruna (with Israel, Giorgio) * The invisible hand. 92j:90014 

Ioffe, A. F. see Ehrenfest, Paul, 92d:01076 

Israel, Giorgio see Ingrao, Bruna, 92j:90014 

(Jackson, Allyn) see Renewing U.S. mathematics: a plan for the 1990s. Appendix B: Recent 
research accomplishments and related opportunities, 92c:01040 

Jarosz, Krzysztof Generalizations of the Gleason-Kahane-Zelazko theorem. 92m:46003 

Jeffrey, Richard C. After Carnap. 

Kadison, Richard V. Operator algebras—an overview. 924:46141 

(Kantorovich, L. V.) see Romanovskii, I. V., 92i:01028 

Kashiwara, Masaki (with Saito, Morihiko) “The establishment and development of the 
theory of Hodge modules”—Morihiko Saito’s achievements. (Japanese) 

(Kawamata, Yujiro) see Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigerulitaka, Shigefumi Mori and Yujiro Kawamata 

Kharlamov, P. V. How L. I. Sedov interprets Newtonian mechanics. (Russian) 92m:01018 

Khas‘minskii, R. Z. (with Ibragimov, I. A.) On density estimation in the view of Kol- 
mogorov’s ideas in approximation theory. 92b:62049 

(Khobzei, P. K.) see Kravchuk, M. F., 92c:01059 

Kirsch, Arnold Das Paradoxon von Hausdorff, Banach und Tarski: Kann man es “ver- 
stehen”? [The paradox of Hausdorff, Banach and Tarski: can one “understand” it?} 
92b:28009 

Kirstein, Bernd see Fritzsche, Bernd, (92m:00034) 

Klusch, Dieter On entry 8 of Chapter 15 of Ramanujan’s Notebook II. 92e:11090 

(Kneser, Martin) see Schappacher, Norbert, 92a:01087 

Knoop, H.-B. see Gonska, Heinz H., 92d:41003 

Ko, Seok-ku Teichmiiller theory, its new and old. (Korean summary) 92g:32043 

Koch, Helmut V. * Introduction to classical mathematics. I. 92k:00010 

Kolesnikov, A. S. * ®unocodusa Beprpana Paccena. (Russian) [The philosophy of Bertrand 
Russell] 924:01045 

(Korteweg, D. J.) see van Stigt, Walter P., 92d:01054 

(Kowalski, Oldiich) see Smale, Stephen, 92j:01063 

Kracht, Manfred W. (with Kreyszig, Erwin) On singular integral operators and generaliza- 
tions. 92f:47052 

— (with Kreyszig, Erwin) On Carathéodory’s theory of discontinuous extremals and 
generalizations. 92g:49001 

Krantz, Steven G. Convexity in complex analysis. 92g:32001 

Kravchuk, M. F. Letters to V. I. Levitskii (1926-1931). (Russian) 92¢:01059 

Kreyszig, Erwin see Kracht, Manfred W., 92f:47052 and 92g:49001 

(Kronecker, Leopold) see Viadut, Sergei G., 92g:11003 

(Kriiger, Lorenz) see Probabilistic revolution, 92a:01006b 

(Kruskal, W. H.) see Statistical model, 92a:01079 

Kul’vetsas, L. L. The status of the concept of quantity in physics theory and H. Helmholtz’s 
book Zahlen und Messen. (Russian) 92d:01020 

Kuratowski, Kazimierz The past and the present of the Polish school of mathematics. 
92e:01070 

Kurepa, Djuro R. Fixpoint approach in mathematics. 92j:00005 

Labuda, Iwo see Filter, Wolfgang, 92e:46003 

Lambert, Karel Russell’s theory of definite descriptions. 92k:03003 

Landini, Gregory A new interpretation of Russell’s multiple-relation theory of judgment. 
92b:03004a 

— Errata: “A new interpretation of Russell’s multiple-relation theory of judgment”. 
92b:03004b 

Lee, Peng Yee see Ma, Zheng Min, 92f:26015 

Lenz, Hanfried Half a century of design theory. 92m:05003 

Leonov, G. A. (with Smirnova, V. B.) Nonlocal reduction method in differential equations 
theory. 

(Levitskii, V. 1.) see Kravchuk, M. F., 92c:01059 

(Lie, Sophus) see Hofmann, Kar! Heinrich, 92b:01032 

Lindvall, Torgny W. Doeblin 1915-1940. 92k:01036 

Lloyd, E. Keith see Biggs, N. L.; et al., 92m:01062 

(Lochak, Georges) see de Broglie, Louis, 92d:81001 

Lu, Hong Wen see Feng, Ke Qin; et al., 92m:11115 

Lyusternik, L. A. Reminiscences. (Russian) 92h:01060 

Ma, Zheng Min (with Lee, Peng Yee) An overview of classical integration theory. 
92£:26015 

(Madzharova, Yana) see Stewart, Ian N., 92m:58001 

Magnell, Thomas The extent of Russell’s modal views. 92a:03002 

Marcus, Solomon see Calude, Cristian, 92a:03060 

Maudlin, Tim Substances and space-time: what Aristotle would have said to Einstein. 
92a:00023 

McCarty, David Charles The philosophy of logical wholism. 

(McGilvray, Ian) see Ingrao, Bruna, 92j:90014 

McNaughton, Robert The development of formal language theory since 1956. 92f:68091 

(Mériaux, Michel) see Wang, Hao’, 92a:01078b 

(van der Merwe, Alwyn) see de Broglie, Louis, 92d:81001 

von Meyenn, Karl Pauli’s belief in exact symmetries. (see 92b:01004) 


01A History of mathematics and mathematicians 


01A60 


(Miller, Arthur I.) see Sixty-two years of uncertainty, 92f:81014 

Molino, Pierre La géométrie différentielle des feuilletages dans I’ceuvre de B. Reinhart. [The 
differential geometry of foliations in the works of B. Reinhart] 92h:01072b 

Mook, Delo E. (with Vargish, Thomas) * Inside relativity. 92m:83002 

(Morgan, Mary S.) see Probabilistic revolution, 92a:01006b 

(Mori, Shigefumi) see Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigerulitaka, Shigefumi Mori and Yujiro Kawamata 

Moser, William O. J. see Borwein, Peter B., 92b:52010 

(Moskovchenko, N. Ya.) see Ehrenfest, Paul, 924:01076 

(Mosteller, Frederick) see Statistical model, 92a:01079 

Moulines, C.-Ulises Making sense of Carnap’s “Aufbau”. 

Navarro Veguillas, Luis * Einstein, profeta y hereje. (Spanish) (Einstein: prophet and 
heretic] 92g:01091 

Ne’eman, Yuval Hadron symmetry, classification and compositeness. (see 92b:01004) 

(von Neumann, John) see Aspray, William, 92d:01034 

(Neumann, O.) see Petrova, S. S., 92b:01034 

(Neyman, Jerzy) see Speed, T. P., 92g:01111 and Rubin, Donald B., 92g:01113 

Nisticd, Giuseppe see Cattaneo, Gianpiero, 92m:81021 

(Norman, Jean) see Paraconsistent logic, 92m:03036 

Oden, J. Tinsley Finite elements: an introduction. (see 92f:65001) 

Oelschlagel, Dieter 60 Jahre Intervallmathematik. (English and Russian summaries) [60 
years of interval mathematics] 

(Ovion, Laura) see Wang, Hao!', 92a:01078b 

(Pauli, Wolfgang) see Bleuler, Konrad, 92g:01066a; 92g:01066b and von Meyenn, Karl, 
(92b:01004) 

Payne, Lawrence E. Some comments on the past fifty years of isoperimetric inequalities. 
92:26042 

Peiczytiski, Aleksander Some results obtained at the Institute of Mathematics of the Polish 
Academy of Sciences. (Polish) 92h:01080 

Petrov, Yu. P. From the history of the calculus of variations and the theory of optimal 
processes. (Russian) 92g:01006 

Petrova, S.S. Vom symbolischen Kalkiil zur Operatorenrechnung. [From symbolic calculus 
to operational calculus] 92b:01034 

(Phillips, O.™M.) see Turbulence and stochastic processes: Kolmogorov’s ideas 50 years on, 
92¢:00012 

Pier, Jean-Paul Carathéodory’s fundamental contribution to measure theory. 92m:28002 

(Pietsch, Albrecht) see Hilbert, David, 92b:01081 

(Planck, Max) see Schiller, Jiirgen, 92i:00007 

von Plato, Jan Boltzmann’s ergodic hypothesis. 92m:82007 

(Poincaré, Henri) see Giedymin, Jerzy, 92e:00002; Sheinin, O. B., 92i:01020 and Stump, 
David, 92k:00021 

Pommaret, Jean-Francois Gauge theory and general relativity. 92e:58243 

(Priest,Graham) see Paraconsistent logic, 92m:03036 

Pukanszky, L. On the characters of connected Lie groups. 92¢:22027 

(Qian, Wei Chang) see Advances in applied mathematics and mechanics in China, 92i:00013 

(Quine, Willard Van Orman) see Reyes Rivas, Roxana, (92e:00013) 

Radicati di Brozolo, Luigi A. Some major progress in astrophysics in the last sixty years. (see 
92b:81002) 

(Ramanujan, Srinivasa) see Somasundaram, D., 92a:11023; Andrews, George E., 925:11072 
and Klusch, Dieter, 92e:11090 

(Rédei, L.) see Gerasim, I.-Kh. I., 92i:01018 

(Reinhart, Bruce L.) see Molino, Pierre, 92h:01072b 

(Remmert, Reinhold) see Serre, Jean-Pierre, 92j:32002 

Reyes Rivas, Roxana Carnap, Quine and Tait: on mathematical existence. (Spanish. English 
summary) (see 92e:00013) 

(Riesz, Marcel) see Duistermaat, J. J., 92j:01064b 

(Ringel, Gerhard) see Biggs, N. L.; et al., 92m:01062 

(Robinson, George A.) see Wos, Larry, 92g:01098 

Robinson, John Alan Logic and logic programming. 

Roche, John J. A critical study of the vector potential. 92j:01040 

Rodino, Luigi see Corli, Andrea, 92m:35007 

Romanovskii, I. V. L. V. Kantorovich’s works in mathematical programming. 92i:01028 

(Routley, Richard) see Paraconsistent logic, 92m:03036 

Rubin, Donald B. Comment on J. Neyman and causal inference in experiments and observa- 
tional studies: “On the application of probability theory to agricultural experiments. Essay 
on principles. Section 9” [Ann. Agric. Sci. 10 (1923), 1-51]. 92g:01113 

Rudyak, Yu. B. The problem of the realization of homology classes: from Poincaré to the 
present time. (Russian) 92k:55006 

(Russell, Bertrand A. W.) see Kolesnikov, A. S., 92d:01045; Grattan-Guinness, Ivor, 
92e:01058 and Lambert, Karel, 92k:03003 

Sagan, Hans Some reflections on the emergence of space-filling curves: the way it could have 
happened and should have happened, but did not happen. 92g:01043 

Saito, Morihike see Kashiwara, Masaki 

Sanchez-Ron, José M. The role played by symmetries in the introduction of relativity in 
Great Britain. (see 92b:01004) 

Sander, J. (with Hutter, K.) On the development of the theory of the solitary wave. A 
historical essay. 92f:76002 

Sarason, Donald New Hilbert spaces from old. (see 92m:01044) 

Schappacher, Norbert Fachverband—Institut—Staat. Streiflichter auf das Verhaltnis von 
Mathematik zu Gesellschaft und Politik in Deutschland seit 1890 unter besonderer 
Beriicksichtigung der Zeit des Nationalsozialismus. [Professional association— 
institute—state. Glimpses at the relationship of mathematics to society and politics in 
Germany since 1890 with special reference to the era of National Socialism] 92a:01087 

Schmidt, Erhard see Hilbert, David, 92b:01081 

Schroeder, Manfred R. Moderne Anwendungen GauB8’scher Konzepte aus der Zahlentheo- 
rie. [Modern applications of Gaussian concepts in number theory] 92f:01026 

Schiiler, Jirgen Zur Indetermini kritik von Max Planck. [On Max Planck’s critique of 
indeterminism] 92i:00007 

Scimone, Aldo The Mathematical Circle of Catania. (Italian) 92a:01080 

(Sedov, L. 1.) see Kharlamov, P. V., 92m:01018 




















01A60 


Segal, I. E. The mathematical implications of fundamental physical principles. 92h:81002 

Serre, Jean-Pierre Erratum: “Letters of René Baire to Emile Borel”. (French) 92m:01033b 

— Les petits cousins. [Second cousins] 92j:32002 

Seuren, Pieter A.M. Neue Entwicklungen im Wahrheitsbegriff. (English summary) [New 
developments in the concept of truth] 92¢:03007 

Sexl, Roman U. Symmetries in cosmology. (see 92b:01004) 

(Shanker, S.G.) see Gédel’s theorem in focus, 92c:03007 

Sheinin, O. B. H. Poincaré’s work on probability. 92i:01020 

Shen, Shi Yi see Hu, Guo Ding; et al., (92g:60003) 

Skyrme, Tony Hilton Royle The origins of skyrmions. (see 92b:81002) 

van der Sluis, A. Applied mathematics and the computer. 92j:00027 

Smale, Stephen The story of the higher-dimensional Poincaré conjecture (what actually 
happened on the beaches of Rio). (Czech) 92j:01063 

(Smirnov, Vladimir Aleksandrovich‘) see Cavaliere, Fania 

Smirnova, V. B. see Leonov, G. A., 92£:34048 

Somasundaram, D. Some trigonometric formulae of Srinivasa Ramanujan in notebook 3. 
92a:11023 

Speed, T. P. Introductory remarks on J. Neyman: “On the application of probability theory 
to agricultural experiments. Essay on principles. Section 9” [Ann. Agric. Sci. 10 (1923), 1- 
51). 92g:01111 

Stachel, John Einstein and quantum mechanics. (see 92f:83003) 

Stearns, Richard E. Juris Hartmanis: the beginnings of computational complexity. (see 
924:68055) 

Stewart, Ian N. The symplectic revolution. (Bulgarian) 92m:58001 

van Stigt, Walter P. * Brouwer’s intuitionism. 924:01054 

(Stillwell, John C.) see Koch, Helmut V., 92k:00010 

Stump, David Poincaré’s thesis of the translatability of Euclidean and non-Euclidean 
geometries. 92k:00021 

(Tait, W. W.) see Reyes Rivas, Roxana, (92e:00013) 

(Tanur, J. M.) see Statistical model, 92a:01079 

Tharp, Leslie H. Myth & math. II (preliminary draft). 92i:03007 

Thom, René Philosophie de la singularité. [The philosophy of singularity] 92h:58032 

Tobies, R. Warum wurde die Deutsche Mathematiker-Vereinigung innerhalb der 
Gesellschaft deutscher Naturforscher und Arzte gegriindet? Mathematiker-Briefe zur 
Griindungsgeschichte der DMV. [Why was the Union of German Mathematicians 
founded within the Society of German Scientists and Physicians? Mathematicians’ letters 
on the history of the foundation of the DMV] 92d:01075 

(Tsfasman, M. A.) see Viadut, Sergei G., 92g:11003 

Vargish, Thomas see Mook, Delo E., 92m:83002 

(Vasil’ev, N. A.) see Cavaliere, Fania 

Vechtomov, E.M. Questions on the determination of topological spaces by algebraic 
systems of continuous functions. (Russian) 92¢e:54001 

Vershik, A.M. On the Leningrad Mathematical Society. (Russian) 92¢e:01072 

Viadut, Sergei G. * Kronecker’s Jugendtraum and modular functions. 92g:11003 

(Vogt, Annette) see Petrova, S. S., 92b:01034 

Waelbroeck, Lucien Holomorphic functions taking their values in a quotient bornological 
space. 92g:46001 

Wang, Hao! * Reflections on Kurt Gédel. 92a:01078a 

— Mind-brain-machine. 92m:03008 

— * Kurt Gédel. (French) 92a:01078b 

— To and from philosophy—discussions with Gédel and Wittgenstein. 92g:00010 

WeiB, Ulrich * Hugo Dinglers methodische Philosophie. (German) [Hugo Dingler’s 
methodical philosophy] 92k:00022 

Wightman, A.S. On the prescience of J. Willard Gibbs. 92g:01045 

(Williams, David) see Turbulence and stochastic processes: Kolmogorov’s ideas 50 years on, 
92e:00012 

Wilson, Robin James see Biggs, N. L.; et al., 92m:01062 

(Wittgenstein, Ludwig) see Wittg: ds a re-evaluation, 92a:00026a; 92a:00026b; 
92a:00026c; Wang, Hao, 92g:00010; Gerrard, Steve and Floyd, Juliet 

Wos, Larry A well-kept secret of history. 92g:01098 

Wu, Liang Sen A survey of the development of operator algebra. (Chinese. English 
summary) 92c:46002 

Yang, Chen Ning Journey through statistical mechanics [MR 90b:01097]. (see 92m:81003) 

Yau, Shing-Tung A review of complex differential geometry. 92j:32029 

Yourgrau, Palle * The disappearance of time. 92j:00020 

(Youtz, Cleo) see Statistical model, 92a:01079 

(Yushkevich, A. P.) see Lyusternik, L. A., 92h:01060 

Zhang, Zhao Zhi see Hu, Guo Ding; et al., (92g:60003) 

Zheng, Yu Xin From the logic of mathematical discovery to the methodology of scientific 
research programmes. 92c:00009 





Items listed otherwise than by author 
Abstracts: 
Lectures presented at the Statistics Seminar, MIT Abstracts of lectures presented at the 
Statistics Seminar, MIT, 1942-1943. 
Advances in applied mathematics and mechanics in China * Advances in applied mathemat- 
ics and mechanics in China. Vol. 3. 92i:00013 
Anniversary: 
Birth of Wittgenstein, Ludwig *x Wittgenstein—towards a re-evaluation. I. 92a:00026a 
— * Wittgenstein—towards a re-evaluation. II. 92a:00026b 
— * Wittgenstein—towards a re-evaluation. III. 92a:00026c 
Bibliography: 
de Broglie, Louis V. see de Broglie, Louis, 92d:81001 
Gédel, Kurt Friedrich see Wang, Hao', 92a:01078b 
litaka, Shigeru Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigeru litaka, Shigefumi Mori and Yujiro Kawamata. (Japanese) 
Kawamata, Yujiro Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigeru litaka, Shigefumi Mori and Yujiro Kawamata. (Japanese) 
Mori, Shigefemi Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigeru litaka, Shigefumi Mori and Yujiro Kawamata. (Japanese) 


HISTORY AND BIOGRAPHY 





1992 42 


Bibliography: (cont'd. ) 
Mosteller, Frederick * A statistical model. 92a:01079 
Paraconsistency * Paraconsistent logic. 92m:03036 
von Neumann, John see Aspray, William, 924:01034 
Biography: 
Ehrenfest, Paul see Ehrenfest, Paul, 92d:01076 
Gédel, Kurt Friedrich * Gédel’s theorem in focus. 92c:03007 
— see also Wang, Hao’, 92a:01078a and 92a:01078b 
loffe, A. F. see Ehrenfest, Paul, 924:01076 
Mosteller, Frederick * A statistical model. 92a:01079 
Rédei, Laszl6 see Gerasim, I.-Kh. I., 92i:01018 
Russell, Bertrand A. W. see Kolesnikov, A. S., 92d:01045 
von Neumann, John see Aspray, William, 92d:01034 
Conference: 
Antoine, Louis * Journée Louis Antoine. (French) [Louis Antoine Conference] 
92c:01054 
Correspondence: 
Baire, René-Borel, Emile Lettres de René Baire a Emile Borel. en of René Baire to 
Emile Borel] 92m:01033a 
Ehrenfest, Paul-Ioffe, A. F. see Ehrenfest, Paul, 92d:01076 
Levitskii, V. I.—Kravchuk, M. F. see Kravchuk, M. F., 92c:01059 
Erice * Sixty-two years of uncertainty. 92f:81014 
Gédel’s theorem in focus * Gédel’s theorem in focus. 92c:03007 
Japan Academy prize-winning research on the classification theory of algebraic varieties by 
Shigeru litaka, Shigefumi Mori and Yujiro Kawamata Japan Academy prize-winning 
research on the classification theory of algebraic varieties by Shigeru litaka, Shigefumi 
Mori and Yujiro Kawamata. (Japanese) 
Kirchberg am Wechsel * Wittg: ds a re-e 
— * Wittgenstein—towards a re-evaluation. II. 92a:00026b 
— * Wittgenstein—towards a re-evaluation. III. 92a:00026c 
NATO Advanced Study Institute: 
Sixty-two Years of Uncertainty * Sixty-two years of uncertainty. 92f:81014 
Paraconsistent logic * Paraconsistent logic. 92m:03036 
Pierre Duhem: historian and philosopher of science * Pierre Duhem: historian and 
philosopher of science. Part I. 92f:01004a 
— * Pierre Duhem: historian and philosopher of science. Part II. 92f:01004b 
Probabilistic revolution * The probabilistic revolution. Vol. 2. 92a:01006b 
Renewing U.S. mathematics: a plan for the 1990s. Appendix B: 
Recent research accomplishments and related opportunities Renewing U.S. mathematics: 
a plan for the 1990s. Appendix B: recent research accomplishments and related 
opportunities. 92c:01040 
Rennes * Journée Louis Antoine. (French) [Louis Antoine Conference] 92c:01054 
Sixty-two years of uncertainty * Sixty-two years of uncertainty. 92f:81014 
Statistical model * A statistical model. 92a:01079 





ion. I. 92a:00026a 





Symposium: 
Wittgenstein * Wit gi in—towards a re-evaluation. I. 92a:00026a 
— * Wittg towards a re-evaluation. II. 92a:00026b 





— * Wittgenstein—towards a re-evaluation. III. 92a:00026c 
Turbulence and stochastic processes: Kolmogorov’s ideas 50 years on * Turbulence and 
stochastic processes: Kolmogorov’s ideas 50 years on. 92e:00012 

















ds a re-evaluation * Wit ds a re-evaluation. I. 
920:00026a 
— & Wittg i ds a re-e ion. II. 92a:00026b 
— & Wittg ds a re-evaluation. III. 92a:00026c 





01A65 Contemporary 


Akaike, Hirotugu The future of statistical science. (Japanese) 

Chern, Shiing Shen How to make China a mathematically advanced country? (Chinese) 

Iri, Masao History of automatic differentiation and rounding error estimation. 92h:01042 

(Jackson, Allyn) see Renewing U.S. mathematics: a plan for the 1990s. Appendix B: Recent 
research accomplishments and related opportunities, 92c:01040 

Johnson, Jeffrey Horace An introduction to the mathematical revolution inspired by 
computing. (see 92h:00013) 


Items listed otherwise than by author 


Renewing U.S. mathematics: a plan for the 1990s. Appendix B: 
Recent research accomplishments and related opportunities Renewing U.S. mathematics: 
a plan for the 1990s. Appendix B: recent research accomplishments and related 
opportunities. 92c:01040 


Items with secondary classifications in 01A65 

Bandle, Catherine Uber die Payne-Pélya-Weinbergersche Vermutung. [On the Payne-Pélya- 
Weinberg conjecture] 

Conway, John B. Paul Halmos and the progress of operator theory. (see 92m:01044) 

Devinant, A. (with Monjardet, Bernard) La filitre MASS (Mathématiques Appliquées et 
Sciences Sociales) 1973-1991. Essai de bilan. (English summary) [An overview of the 
program “Applied Mathematics and Social Sciences” at French universities (1973-1991)] 
92h:01076 

Finn, Robert Capillary surfaces: a partly historical survey. 92e:01002 

(Halmos, Paul R.) see Conway, John B., (92m:01044) 

Huppert, Bertram Research in representation theory at Mainz (1984-1990). 92c:20011 

Hutchinson, John E. Generating fractals. 92¢:28002 

Ingarden, Roman S. Two speeches on mathematical physics. 92¢:81002 

(Johnson, Jeffrey Horace) see Mathematical revolution inspired by computing, 92h:00013 

Kaltofen, Erich Polynomial factorization 1982-1986. 92f:12001 

Lieberman, Elliot R. * Multi-objective programming in the USSR. 92h:90005 

(Loomes, M. J.) see Mathematical revolution inspired by computing, 92h:00013 

Maddy, Penelope Philosophy of mathematics: prospects for the 1990s. 92i:03006 

(Madzharova, Yana) see Stewart, Ian N., 92m:58001 


43 1992 


Monjardet, Bernard see Devinant, A., 92h:01076 

Osius, Gerhard Aspekte statistischer Modellbildung und Auswertung. [Aspects of the 
formation and utilization of statistical models] 

Ramirez, Santiago The experience of chaos. (Spanish) 92j:00018 

Rosenthal, Peter M. Equivalents of the invariant subspace problem. (see 92m:01044) 

Ruitenburg, Wim B. G. Constructive logic and the paradoxes. 92g:03011 

Sanyuk, V.I. Genesis and evolution of the Skyrme model from 1954 to the present. 
92h:81200 

Schinzel, Andrzej Progress in number theory in the years 1978-1988. (Polish) 92k:11003 

Stewart, Ian N. The symplectic revolution. (Bulgarian) 92m:58001 

Thom, René Problémes rencontrés dans mon parcours mathématique: un bilan. [Problems 
encountered during my mathematical journey: an evaluation] 92a:58001 


Items listed otherwise than by author 
Brighton * The mathematical revolution inspired by computing. 92h:00013 
Conference: 
Mathematical Revolution Inspired by Computing * The mathematical revolution inspired 
by computing. 92h:00013 


Mathematical revolution inspired by computing * The mathematical revolution inspired by 
computing. 92h:00013 


01A67 Future prospectives 


Barabba, Vincent P. What does the future hold for statisticians? 
Treisman, Uri Developing the next generation of mathematicians. 92j:01055 


Items with secondary classifications in 01A67 

(Fienberg, S. E.) see Statistical model, 92a:01079 

(Hoaglin, D.C.) see Statistical model, 92a:01079 

(Kruskal, W. H.) see Statistical model, 92a:01079 

Manz, Olaf Some new developments and open questions in the character theory of finite 
groups. 92c:20012 

(Mosteller, Frederick) see Statistical model, 92a:01079 

(Tanur, J. M.) see Statistical model, 92a:01079 

Thompson, Robert C. High, low, and quantitative roads in linear algebra. 92k:15006 

(Youtz, Cleo) see Statistical model, 92a:01079 


Items listed otherwise than by author 
Bibliography: 

Mosteller, Frederick * A statistical model. 92a:01079 
Biography: 

Mosteller, Frederick * A statistical model. 92a:01079 
Statistical model * A statistical model. 92a:01079 


01A70 Biographies, obituaries, personalia, bibliographies 


Abeyaratne, Rohan (with Horgan, Cornelius O.) In recognition of the sixtieth birthday of 
James K. Knowles. 

Adke, S.R. (with Kale, B. K.) Obituary: Professor V. S. Huzurbazar. 

(Agnesi, Maria Gaetana) see Truesdell, C. 

(Agostinelli, Cataldo) see Pignedoli, Antonio, 92h:01066 

Aigner, Martin see Lenz, Hanfried; et al., 92h:01058 

(Ainola, Leo) see Kaerdi, Helmo, (92m:00026) 

Aitchison, I. J. R. see Wallace, David J.; et al., (92f:92014) 

(Aiton, Eric John) see Wilson, Curtis, 92g:01097 and Brackenridge, J. Bruce 

Albeverio, Sergio Dedication. 92g:01060 

Albree, Joe Salem’s Bowditch. 92m:01046 

Alcolea Banegas, Jestis Arend Heyting. (Spanish) 92g:01061 

Aleksandrov, A. D. (with Kutateladze, S. S.; Reshetnyak, Yu. G.; Rubinshtein, G. Sh.; 
Solomyak, M. Z.) Viktor Abramovich Zalgaller (on the occasion of his seventieth 
birthday). (Russian) 92d:01033 

Aljanéié, S. see Tomi¢é, Miodrag, 92b:01071 

(Amerbaev, V. M.) see Birthday: Amerbaev, V. M. 

André, Johannes In memoriam Hans Zassenhaus. (German) 92m:01047 

Andreev, Andrei St. (with Ivanov, Kamen G.; Moskona, E. S.; Tashev, S. P.; Khristov, 
Vladimir Kh.; Khristov, E. Kh.) Vasil A. Popov (1942-1990). (Bulgarian) 92m:01048 

Anellis, Irving H. William P. Hanf. 

Ansorge, Rainer Lothar Collatz (6. July 1910-26. September 1990). (German) 92g:01062 

(Antoine, Louis) see Conference: Antoine, Louis, 92c:01054; Ibisch, Horst, (92c:01054); 
Bauer, Heinz, (92c:01054) and Libermann, Paulette, (92c:01054) 

Apanasevich, P. A. (with Bogush, A. A.; Goncharenko, A. M.; Kiselevskii, L. I.; Tomil/chik, 
L.M.) Fedor Ivanovich Fedorov (on the occasion of his eightieth birthday). (Russian) 

Armitage, Peter Obituary: Sir Austin Bradford Hill, 1897-1991. 

Arnol'd, V.1. (with Vainberg, B. R.; Kudryavtsev, L. D.; et al.) Mikhail Vasil/evich 
Fedoryuk. (Russian) 92h:01043 

— see also Vainberg, B. R.; et al., 92g:01095 and Audin, Michele, 92m:01049 

(Aronchik, B. D.) see Khovanskii, G. S., 92f:01032 

Aspray, William * John von Neumann and the origins of modern computing. 92d:01034 

Aubin, Jean-Pierre Eloge du professeur Ky Fan. [In praise of Professor Ky Fan] 
92m:01051b 

Audin, Michele (with Iglésias, Patrick) Questions a V. I. Arnol’d. [Interview with V. I. 
Arnol’d] 92m:01049 

Avdonin, N.I. (with Belykh, V. N.; Belyustina, L. N.; Dolov, M. V.; Neimark, Yu. L.; 
Morozov, S. F.) Nikolai Fedorovich Otrokov. (Russian) 

Avduevskii, V.S. (with Eneev, T. M.) The chief theoretician of astronautics (on the 
eightieth anniversary of the birth of M. V. Keldysh). (Russian) 92g:01064 

Azbelev, N. V. (with Grudo, E. L.; Izobov, N. A.; et al.) Obituary: Teimuraz Ambros’evich 
Chanturiya. (Russian) 92d4:01035 

(Azumaya, Goro) see Biography: Azumaya, Goro, (92h:16001) 

(Babbage, Charles) see Buxton, H. W., 92b:01050 and Wilkes, Maurice V. 


01A History of mathematics and mathematicians 


01A70 


Bachmuth, Seymour Horace Y. Mochizuki: in memoriam. 92h:01044 

Bagyinszkiné-Orosz, Anna (with Horvath, Sandor; Hunyadvari, Laszl6) To the memory of 
Professor Istvan Peak. 92h:01045 

Balashchenko, V. V. (with Stepanov, N. A.; Primachuk, L. P.; Fedenko, A. S.) Vasilii 
Ivanovich Vedernikov. (Russian) 92g:01065 

Bantas, Gheorghe see Corduneanu, C.; et al., 92m:01055 

Baranovskii, E. P. (with Dolbilin, N. P.; Makarov, V. S.; et al.) Sergei Sergeevich Ryshkov 
(on the occasion of his sixtieth birthday). (Russian) 92h:01046 

Barbeau, Edward J. Geoffrey J. Butler: summers on Olympus. 92c:01041a 

(Barbuti, Ugo) see Predonzan, Arno; et ai., 92h:01067 

(Barna, Béla) see Gyires, B., 92b:01058 

(Bashmakova, I.G.) see Demidov, S. S.; et al., 92g:01074 

(Bates, R.H.T.) see Obituary: Bates, R. H. T. 

Bauer, Heinz Quelques souvenirs a propos de Louis Antoine. [Some memories of Louis 
Antoine] (see 92c:01054) 

Bayod, José Manuel (with Gonzalez, Manuel; Martinez-Maurica, Javier) Introduction. 
(Spanish) 92d:01036a 

Belhoste, Bruno * Augustin-Louis Cauchy. 92a:01062 

Bellen, Alfredo see Predonzan, Arno; et al., 92h:01067 

Belykh, V.N. see Avdonin, N. L.; et al. 

Belyustina, L. N. see Avdonin, N. L.; et al. 

Benedetti, C. A. A. Koniis (1895-1990). (Italian) 

Berezanskii, Yu. M. (with Gorbachuk, M. L.; Ivasishen, S. D.; Korolyuk, V. S.; 
Mitropol'skii, Yu. A.; Skrypnik, I. V.) Samuil Davidovich Eidel/man (on the occasion of 
his seventieth birthday). (Russian) 92j:01056 

— (with Gorbachuk, M. L.; Mikityuk, Ya. V.; Pritula, Ya. G.; Storozh,O.G.) Vladislav 
Eltiovich Lyantse (on the occasion of his seventieth birthday). (Ukrainian) 92k:01024 

Berggren, J. Lennart The collected papers of E. S. Kennedy: a brief review. (see 92b:01015) 

(Bernstein, S. N.) see Bogolyubov, Aleksei Nikolaevich, 92j:01057 

Berry, Geoffrey Obituary: Peter D. Oldham, 1921-89. 

Bethe, H. A. Reminiscences of Rudi Peierls. (see 92b:81002) 

Biermann, Kurt-R. Aus verschliisselten Aufzeichnungen des jungen GauB. [From enciphered 
notes of the young Gauss] 

Biggs, N. L. (with Lloyd, E. Keith; Wilson, Robin James) The historical background to 
Gerhard Ringel’s work. 92m:01062 

Billard, Lynne (with Ferber, Marianne A.) Elizabeth Scott: scholar, teacher, administrator. 
92h:01047 

Binder, Christa Uber den Briefwechsel Felix Klein-Otto Stolz. [On the correspondence of 
Felix Klein and Otto Stolz] 92b:01049 

Birman, M. Sh. (with Krein, S. G.; Ladyzhenskaya, O. A.; Rozenblyum, G. V.; Safarov, Yu. 
G.) Mikhail Zakharovich Solomyak (on the occasion of his sixtieth birthday). (Russian) 
92k:01025 

(Bitsadze, A. V.) see Dorodnitsyn, A. A.; et al., 92h:01050 

(Bledsoe, Woodrow W.) see Biography: Bledsoe, Woodrow W., 92d:01064 

Bleuler, Konrad Wolfgang Pauli—iiber sein Werk und seine Ideen zu den Grundlagen der 
Physik. [Wolfgang Pauli—on his work and his ideas about the foundations of physics} 
92g:01066a 

— Wolfgang Pauli: his scientific work and his ideas on the foundations of physics. 
92g:01066b 

(Blinov, F. A.) see Derevyanchenko, A. A. 

Bogolyubov, Aleksei Nikolaevich Sergei Natanovich Bernshtein. (Russian) 92j:01057 

— see also Mitropol'skii, Yu. A.; et al.92g:01090 

Bogolyubov, N. N. (with Mitropol’skii, Yu. A.; Petrina, D. Ya.; Samoilenko, A. M.; 
Fushchich, V. I.) Ostap Stepanovich Parasyuk (on the occasion of his seventieth 
birthday). (Ukrainian) 

— (with Karlin, V. A.; Melnikov, V. A.; Mishchenko, E. F.; Chernyi, G. G.) Vik- 
tor Vladimirovich Rusanov (on the occasion of his seventieth birthday). (Russian) 
92d:01037 

— see also Logunov, A. A., 92g:01087 

Bogush, A. A. see Apanasevich, P. A.; et al. 

Bélling, Reinhard Sonja Kovalevskaja (1850-1891) zum Gedenken. [In memory of S. V. 
Kovalevskaya (1850-1891)] 92h:01048 

(Borel, Armand) see Steele Prizes awarded in Orono, 92h:01074 

Borgato, Maria Teresa (with Pepe, Luigi) The family letters of Joseph-Louis Lagrange. 
(Italian) 92a:01063 

— (with Pepe, Luigi) * Lagrange. (Italian) 92c:01042 

(Borovkov, A. A.) see Birthday: Borovkov, A. A., 92m:01086( 

Borowczyk, Jacques Sur la vie et l’ceuvre de Francois Budan (1761-1840). (English and 
German summaries) [On the life and works of Francois Budan (1761-1840)] 92c:01043 

Bos, Henk J. M. In memoriam: Hans Freudenthal (1905-1990). 

Bott, Raoul H. Georges de Rham: 1901-1990. 92b:01078 

Bottazzini, Umberto Pincherle and the theory of analytic functions. (Italian) 92m:01050 

Bourguignon, Jean-Pierre (with Chern, Shiing Shen) Entretien avec un optimiste, S. S. 
Chern. [Interview with an optimist: S. S. Chern] 

— Hommage 4 Edmond Combet. [Homage to Edmond Combet] 92g:01073 

(Bowditch, Nathaniel) see Albree, Joe, 92m:01046 

(Boyer, Robert S.) see Biography: Bledsoe, Woodrow W., 92d:01064 

Brackenridge, J. Bruce Eric John Aiton, 1920-21 February 1991. 

(Breakwell, John V.) see Bryson, Arthur E., 92m:01052 

(Brelot, Marcel) see Schubring, Gert, (92m:01045a) 

(Bronshtein, M. P.) see Gorelik, G. E., 92d:01043 

(Brouwer, Luitzen Egbertus Jan) see van Stigt, Walter P., 924:01054 

Brualdi, Richard A. (with Schneider, Hans) Preface. 92m:01051a 

(Bruins, Evert Marie) see Knobloch, Eberhard, 92h:01055 

(Brunswick, Natascha Artin) see McKean, Henry, 92i:01027a and Lax, Anneli, 92i:01027b 

Brusblinskii, K. V. (with Gavrilov, M. M.; Gel’fand, I. M.; et al.) Oleg Vyacheslavovich 
Lokutsievskii. (Russian) 92g:01067 

Brysoa, Arthur E. In memory of John V. Breakwell. 92m:01052 

(Budsa, Francois) see Borowczyk, Jacques, 92c:01043 

(Bukkshtab, A. A.) see Kubilis, I. P.; et al., 92d:01048 








01A70 


Bundschuh, Peter (with Zassenhaus, Hans) Nachruf. Theodor Schneider (1911-1988). 
[Obituary for Theodor Schneider (1911-1988)] 92g:01068 

— (with Zassenhaus, Hans) Erratum: “Obituary for Theodor Schneider (1911-1988)” [J. 
Number Theory 39 (1991), no. 2, 129-143; MR 92g:01068}. 

(Burov, Michael) see Polubarinova-Kochina, P. Ya., 92a:01073 

(Butler, Geoffrey J.) see Freedman, H. I., 92b:01056; Barbeau, Edward J., 92c:01041a and 
Bibliography: Butler, Geoffrey J., 92c:01041b 

Buxton, H. W. * Memoir of the life and labours of the late Charles Babbage Esq. F.R.S. 
92b:01050 

Buzano, Pietro see Rigamonti, Rolando; et al., 92m:01073c 

(Calabi, Eugenio) see Steele Prizes awarded in Orono, 92h:01074 

(Calderén, Alberto P.) see Biography: Calderén Alberto Pedro, 92m:01083 

(Carleson, Lennart) see Biography: Carleson, Lennart, 92m:01084 

(Carrier, George F.) see Biography: Carrier, George F., 924:01065 

(Carstoiu, John) see Corduneanu, C., 92m:01054 

(Case, Kenneth M.) see Greenberg, William, (92h:82112) 

Cassels, J. W.S. Obituary of Kurt Mahler. 92g:01069a 

Cassidy, David C. Heisenberg, uncertainty and the quantum revolution. 

(Casson, Andrew J.) see Biography: Casson, Andrew J., 92d:01066 

Castellet, Manuel Josep Teixidor i Batlle (1920-1989). 92d:01038 

Casti, John L. Foreword. Bob Kalaba: teacher, colleague, and friend. 92i:01026a 

(Cattabriga, Lamberto) see Zanghirati, Luisa, 92b:01072 

(Cauchy, Augustin-Louis) see Belhoste, Bruno, 92a:01062 

Cavalli-Sforza, Luigi Luca Recollections of Whittingehame Lodge. 92b:01053 

(Cesari, Lamberto) see Hale, Jack K., 92m:01060 

(Chakalov, Viadimir L.) see Biography: Tagamlitski, Yaroslav A., 92d:01070 

(Chandrasekhar, Subrahmanyan) see Wali, Kameshwar C., 92d:01059 

(Chanturiya, T. A.) see Azbelev, N. V.; et al., 92d:01035 

Chappert, André Augustin Fresnel (1788-1827), ingénieur et théoricien. [Augustin Fresnel 
(1788-1827), engineer and theorist] 924:01039 

Charin, V.S. see Mitropol'skii, Yu. A.; et al. 

Chase, Phillip J. Recollections of Professor Dilworth. (see 92f:01002) 

(Chebyshev, P. L.) see Chebysheva, K. V. 

Chebysheva, K. V. Some information about the ancestors and descendants of the Chebyshev 
family. (Russian) 

(Chern, Shiing Shen) see Bourguignon, Jean-Pierre 

Chernyi, G. G. see Bogolyubov, N. N.; et al., 92d:01037 

Chernykh, K. F. see Solomenko, N. S., 92a:01075 

Chevalley, Catherine Claude Chevalley. (Spanish) 92c:01044 

(Chevalley, Claude) see Chevalley, Catherine, 92c:01044 

(Choquet, Gustave) see Schubring, Gert, (92m:01045a) 

Christianidis, Jean P. (with Kastanis, Nikos) In memoriam: Evangelos S. Stamatis (1898- 
1990). 92m:01053 

(Cimmino, Gianfranco) see Pini, Bruno, 92b:01068 

(Climescu, Alexandru) see Corduneanu, Adrian, 92k:01026 

Coates, John Comments. 92b:01073b 

(Collatz, Lothar) see Ansorge, Rainer, 92g:01062; Meinardus, Ginter; et al., 92g:01063 and 
Lehmann, Joachim, 92h:01057 

(Colombo, Giuseppe) see Grioli, Giuseppe, 92g:01078 and Graffi, Dario, 92g:01079 

(Combet, Edmond) see Dazord, Pierre, 92g:01070; Bibliography: Combet, Edmond, 
92g:01071; Lichnerowicz, André, 92g:01072 and Bourguignon, Jean-Pierre, 92g:01073 

(Condorcet, Antoine, Marquis de) see Lehning, Hervé 

(Cooke, John Caister) see Drazin, P. G., 92k:01027 

Corduneanu, Adrian Alexandru Climescu: 1910-1990. 92k:01026 

Corduneanu, C. John Carstoiu on his 80th anniversary. 92m:01054 

— (with Bantas, Gheorghe; Sciurevici, Vladimir) In memoriam: Dumitru Ion Mangeron: 
1906-1991. 92m:01055 

Cormack, Richard Obituary: David Anthony Williams. 

Costabel, Pierre Lagrange et l’art analytique. [Lagrange and the art of analysis] 92j:01058 

— see also Taton, René, 92h:01069( 

Cox, David Roxbee Obituary: Professor S. D. Silvey, 1924-90. 

Crawley, Peter Recollections of R. P. Dilworth. (see 92f:01002) 

Crow, James F. Fisher’s contributions to genetics and evolution. 92b:01051 

Dalitz, R. H. A biographical sketch of the life and work of Professor Sir Rudolf Peierls, 
F.R.S. 92f:01030 

— Professor Tony Hilton Royle Skyrme: 1922-1987: a brief biography. 92f:01031 

— (with Sinchcombe, R. B.) T. H. R. Skyrme (1922-1987). (see 92b:81002) 

Danilov, Yu. A. * JIxxon dou Hetiman. (Russian) [John von Neumann] 92e:01056 

Das Gupta, S.C. My reminiscences in brief. 92c:01045a 

— see also Debnath, Lokenath, 92c:01045b 

David, Arnold (with Valkova, Anna) Professor Anton Huta (on the occasion of his seventy- 
fifth birthday). (Czech) 924:01040 

Dazord, Pierre (with Patissier, Guy) Edmond Combet (1930-1988). (French) 92g:01070 

Debnath, Lokenath A tribute. 92c:01045b 

(DeGroot, Morris H.) see Biography: DeGroot, Morris H., 92d:01067 

(Delone, B.N.) see Faddeev, D. K.; et al., 92h:01053 

Demidov, S.S. (with Petrova, S. S.; Yushkevich, A. P.) Isabella Grigoryevna Bashmakova 
on the 70th anniversary of her birth. 92g:01074 

henko, A. A. New information about the life and work of Russian physicist F. A. 

Blinov (1831-1902). (Russian) 

Derrida, B. see Wallace, David J.; et al., (92f:92014) 

(Descartes, René) see Lyatker, Ya., 92g:01088 

Deuber, W. see Lenz, Hanfried; et al., 92h:01058 

Dezin, A. A. see Viadimirov, V.S.; et al., 92g:01096 and 92m:01080 

Dieudonné, Jean De l’analyse fonctionnelle aux fondements de la géométrie algébrique. 
[From functional analysis to the foundations of algebraic geometry] 92c:01053c 

(Dilworth, Robert Palmer) see Biography: Dilworth, Robert Palmer, (92f:01002); Crawley, 
Peter, (92f:01002); Chase, Phillip J., (92f:01002) and Bibliography: Dilworth, Robert 
Palmer, (92f:01002) 

(DiPerna, R. J.) see Majda, Andrew J., 92h:01061 


HISTORY AND BIOGRAPHY 


Dipert, Randall R. The life and work of Ernst Schréder. 92b:01066 

(Dirac, Paul Adrien Maurice) see Kragh, Helge, 92m:01066 

Dirichlet, P. G. Lejeune GedachtniBrede auf Carl Gustav Jacob Jacobi. [Eulogy for Carl 
Gustav Jacob Jacobi] (see 92d:01071) 

— see also Kummer, Ernst Eduard, (92d:01071) 

Dixmier, Jacques Allocution. [Address] 92h:01049 

(Doeblin, Wolfgang) see Lindvall, Torgny, 92k:01036 

Dolbilin, N. P. see Baranovskii, E. P.; et al., 92h:01046 and Faddeev, D. K.; et al., 92h:01053 

Dolov, M. V. see Avdonin, N. 1.; et al. 

Domb, Cyril Michael Fisher at King’s College London. 92m:01056 

(Donoho, David) see Mathematical scientists receive MacArthur Awards, 92g:01103 

Dorodnitsyn, A. A. (with Emel’yanov, S. V.; Il‘in, Viadimir Aleksandrovich; et al.) Andrei 
Vasil’evich Bitsadze (on the occasion of his 75th birthday). (Russian) 92h:01050 

Drazin, P.G. (with Riley, N.) Obituary: J. C. Cooke, FIMA—an appreciation. 92k:01027 

Drozhzhinov, Yu. N. see Viadimirov, V.S.; et al., 92g:01096 and 92m:01080 

Duistermaat, J.J. M. Riesz’s families of operators. 92j:01064b 

(Dvivedt, Sudhakara) see Gupta, Radha Charan, 92g:01080 

Dvortsina, N.S. (with Makhrova, I. A.) * Jleonuy Butanbesuy Kantoposuy. 1912-1986. 
(Russian) [Leonid Vital‘evich Kantorovich. 1912-1986] 92a:01064 

Dwork, Bernard Work of Philippe Robba. 92d:01041 

Dyson, Freeman J. “To teach or not to teach”, Freeman J. Dyson’s acceptance speech for 
the 1991 Oersted medal presented by the American Association of Physics Teachers, 22 
January 1991. 

— see also Wheeler, Gerald F. 

Dzyadyk, V. K. see Vladimirov, V. S.; et al., 92i:01031 

(Eckler, A. Ross) see Wann, Marie D. 

Edwards, A. W. F. R. A. Fisher: twice professor of genetics: London and Cambridge or “a 
fairly well-known geneticist”. 92b:01054 

— Fisher, W, and the fundamental theorem. 92b:01052 

(Efremovich, V. A.) see Makarov, V. S.; et al., 92b:01063 

(Eidelman, S. D.) see Berezanskii, Yu. M.; et al., 92):01056 

(Einstein, Albert) see Kuznetsov, B. G., 92f:01033; Navarro Veguillas, Luis, 92g:01091 and 
Frenkel’, V. Ya., 92k:01028 

Emaldi, Maurizio Giovanni Frattini 1852-1925. 92a:01065 

Emel‘yanov, S. V. see Dorodnitsyn, A. A.; et al., 92h:01050 

Eneev, T. M. see Avduevskii, V. S., 92g:01064 

(Enescu, Ion I.) see Obituary: Enescu, Ion Ion, 92b:01074 

Engl, Heinz W. Hansjérg Wacker (1939-1991). 92h:01051 

— Hansjérg Wacker (28 Marz 1939-14 Mai 1991).(German) 92m:01057a 

— Obituary. Hansjérg Wacker (1939-1991). 92m:01057b 

Erbe, Lynn H. A survey of G. J. Butler’s research in the qualitative theory of ordinary 
differential equations. 92¢e:01057 

(Ershov, A. P.) see Pottosin, I. V., 92c:01051a and Obituary: Ershov, A. P., 92c:01051b 

Ershov, Yu. L. see Gainov, A. T.; et al., 92d:01042 and Birthday: Ershov, Yu. L., 92g:01102 

(Etverk, Elmar) see Telgmaa, Aksel, (92m:00026) 

(Evans, Trevor) see Obituary: Evans, Trevor 

Exner, Pavel (with Neidhardt, Hagen) To the memory of a great mathematician. 
92h:01052 

Faddeev, D. K. (with Dolbilin, N. P.; Ryshkov, S. S.; Shtogrin, M. I.) Boris Nikolaevich 
Delone (on his life and creativity). (Russian) 92h:01053 

(Fan, Ky) see Brualdi, Richard A., 92m:01051a; Aubin, Jean-Pierre, 92m:01051b; Ph.D. 
students of Ky Fan, 92m:01051c and Bibliography: Fan, Ky, 92m:01051d 

(Farber, C.) see Hensel, Kurt, (92d:01071) 

Fedenko, A.S. see Balashchenko, V. V.; et al., 92g:01065 

Fedorov, F.1I. see Vol'vachev, R. T.; et al., 92d:01058 and Apanasevich, P. A.; et al. 

(Fedoryuk, M. V.) see Obituary: Fedoryuk, M. V., 92d:01072; Vainberg, B. R.; et al., 
92g:01095 and Arnold, V. 1.; et al., 92h:01043 

Fedoseev, I. A. see Ishlinskii, A. Yu.; et al. 

Fedosova, S. A. see Mitropol'skii, Yu. A.; et al., 92g:01090 

(Fefferman, Charles L.) see Biography: Fefferman, Charles Louis, 92m:01085 

Fellegi, I. P. Obituary: Morris H. Hansen, 1910-90. 

(Feng, Kang) see Birthday: Feng, Kang, 92m:01087 

Feng, Li Sheng Fermat and his mathematical work. (Chinese) 

(Fenyé, Istvan) see Forti, Gian Luigi, 92b:01055 

Ferber, Marianne A. see Billard, Lynne, 92h:01047 

(de Fermat, Pierre) see Feng, Li Sheng 

(Fernbach, Sid) see Obituary: Fernbach, Sidney, 92g:01104 

Ferrari, Carlo Commemoration of Gianni Jarre (1924-1988). (Italian) 92m:01073b 

(Fienberg, S. E.) see Statistical model, 92a:01079 

Fischer, Jan (with Kolai, Pavel; Maslowski, Bohdan; Seidler, Jan; Schwabik, Stefan) Ivo 
Vrkot sexagenarian. 92h:01054 

— (with Kolar, Pavel; Maslowski, Bohdan; Seidler, Jan; Schwabik, Stefan) Ivo Vrkoé (on the 
occasion of his sixtieth birthday). (Czech) 92m:01058 

(Fisher, Michael Ellis) see Domb, Cyril, 92m:01056 

(Fisher, Ronald Aylmer) see Crow, James F., 92b:01051; Edwards, A. W. F., 92b:01052 and 
92b:01054 

(Floer, Andreas) see Hofer, Helmut; et al. 

(Fogels, Ernests) see Kubilius, J.; et al., 92b:01061a and Bibliography: Fogels, E. K., 
92b:01061b 

(Fomin, V. M.) see Birthday: Fomin, V. M. 

Forti, Gian Luigi Istvan Fenyé in memoriam. (German) 92b:01055 

Fox, L. Epilogue. Jim Wilkinson: some after-dinner sentiments. 92b:01057b 

(Franken, Peter) see Obituary: Franken, Peter, 92b:01075 

(Frattini, Giovanni) see Emaldi, Maurizio, 92a:01065 

Freedman, H. I. G. J. Butler’s research in mathematical biology. 92b:01056 

Frenkel’, V. Ya. (with Yavelov, B. E.) %* Sinurreftn: w306peTenua H 9KcHepuMent. (Russian) 
(Einstein: inventions and experiment] 92k:01028 

— see also Gorelik, G. E., 92d:01043 and Gelig, A. Kh. 

(Fresnel, Augustin) see Chappert, André, 92d:01039 

(Freudenthal, Hans) see Bos, Henk J. M. 





45 1992 


Fritzsche, Bernd Einige Anmerkungen zu Sophus Lies Krankheit. (English and Russian 
summaries) [Some comments on Sophus Lie’s illness] 92g:01075 

Frobenius, Georg Ferdinand GedachtniBrede auf Leopold Kronecker. [Eulogy for Leopold 
Kronecker] (see 92d:01071) 

Furukawa, Nagata Professor Seiiti Huzino. 92g:01076 

— Professor Akio Kud6. 92g:01077 

Fushchich, V.1I. see Bogolyubov, N. N.; et al. 

Gadamer, Festrede zum 300. Geburtstag von Gottfried Wilhelm Leibniz am 
1. Juli 1946 in der Aula der Universitat Leipzig. [Address on the occasion of the 300th 
birthday of Gottfried Wilhelm Leibniz on 1 July 1946 in the auditorium of the University 
of Leipzig] 92c:01046 

Gainov, A. T. (with Goncharov, S. S.; Ershov, Yu. L.; et al.) On the eightieth anniversary 
of the birth of the outstanding Soviet mathematician and academician A. I. Mal'tsev. 
(Russian) 92d:01042 

Gaishun, I. V. see Vol’vachev, R. T.; et al., 92d:01058 

(Galois, Evariste) see Lehning, Hervé 

(Ganapathy Iyer, V.) see Padmanabhan, K. S., 92h:01064 

Ganguly, Sobhakar (with Sen, Mridul Kanti) Foreword to the Proceedings of the National 
Seminar on Mathematics (dedicated to the memory of Sir Ashutosh Mukherjee [Asutosh 
Mukhopadhyay], 1864-1924). (see 92f:00027) 

(Gaponenko, Yu. L.) see Tikhonov, A. N.; et al., 92b:01070 

(Garcia de Galdeano, Zoel) see Hormigén Blazquez, Mariano, 92a:01067 

(Gardner, Elizabeth) see Wallace, David J.; et al., (92f:92014) 

(Gauss, Carl Friedrich) see Kaufmann-Bihler, Walter, 92a:01068; Biermann, Kurt-R. and 
Rassias, George M.., (92i:00029) 

(Gauss, Friedrich Gustav) see Voigt, Hans Heinrich, 92d:01057 

Gavrilov, M. M. see Brushlinskii, K. V.; et al., 92g:01067 

Gel'fand, I. M. see Brushlinskii, K. V.; et al., 92g:01067 and Gindikin, S. G. 

Gelig, A. Kh. (with Frenkel’, V. Ya.) Yurii Aleksandrovich Krutkov (on the centennial of 
his birth). (Russian) 

(Gell-Mann, Murray) see Goldberger, M., (92h:81004) 

Gera, Milan (with Ha8tak, Alexander) Professor Seda (on the occasion of his sixtieth 
birthday). (Slovak) 92m:01059a 


— (with Ha&vak, Alexander) Professor Valter Seda (on the occasion of his sixtieth birthday). 


(Czech) 

— (with Ha8tak, Alexander) Sixty years of Professor Valter Seda. 92m:01059b 

(Gill, Richard D.) see van der Laan, P., 92d:01049 

Gindikin, S. G. Israel Gel’fand. 

— see also Kaufmann-Bihler, Walter, 92a:01068 

Gnedenko, B. V. Scholar, teacher, citizen. (Russian) 92a:01066 

— Reminiscences of Vyacheslav Vasil’evich Stepanov (on the centenary of his birth). 
(Russian) 92d:01051b 

(Gédel, Kurt Friedrich) see Wang, Hao!, 92a:01078a and 92a:01078b 


Goldberger, M. Remarks on the occasion of Murray Gell-Mann’s more or less 60th birthday. 


(see 92h:81004) 

(Goldblatt, Robert Ian) see Malcolm, Wilf, 92k:01037 

Golitsyn, G.S. In memory of Aleksandr Mikhaylovich Obukhov. (Russian) 

Golub, Gene Howard Prologue. Reflections on Jim Wilkinson. 92b:01057a 

— see also Moler, Cleve B. 

Gonchar, A. A. (with Lupanov, O. B.; Sadovnichii, V. A.'; Ul/'yanov, P. L.) Yurii Aleksan- 
drovich Kaz’min (on the occasion of his sixtieth birthday). (Russian) 

— see also Viadimirov, V. A.; et al., 921:01030 

Goncharenko, A. M. see Apanasevich, P. A.; et al. 

Goncharov, S. S. see Gainov, A. T.; et al., 92d:01042 

Gonzalez, Manuel see Bayod, José Manuel; et al., 92d:01036a 

Gorbachuk, M. L. see Berezanskii, Yu. M.; et al., 92j:01056 and 92k:01024 

Gorelik, G. E. (with Frenkel’, V. Ya.) * Matsett Ierposw4y Bpouurretin. 1906-1938. 
(Russian) [Matvei Petrovich Bronshtein. 1906-1938] 92d:01043 

Graffi, Dario Giuseppe Colombo’s work in the field of nonlinear mechanics. (Italian) 
92g:01079 

(Grasser, Horst-Siegfried Paul) see Rund, Hanno, 92d:01053 

Grattan-Guinness, Ivor Bertrand Russell (1872-1970) after twenty years. 92e:01058 

(Grave, D. A.) see Kravchuk, M. F., 92d:01047 

Greenberg, William Forty years of transport theory: Kenneth Case and Paul Zweifel. (see 
92h:82112) 

(Gremze, S.) see Biobibliography: Klokovs, Jurijs, 92d:01063 

(Grigor’yan, A. T.) see Ishlinskii, A. Yu.; et al. 

Grioli, Giuseppe The contribution of Giuseppe Colombo to celestial mechanics. (Italian) 
92g:01078 

(Grosjean, Carl Clement) see Birthday: Grosjean, Carl Clement, 92k:01044 

(Gross, Herbert) see Wild, Marcel, 92h:01071 

(Grothendieck, Alexander) see Biography: Grothendieck, Alexander, 92c:01053a; Bibliogra- 
phy: Grothendieck, Alexander, 92c:01053b and Dieudonné, Jean, 92c:01053c 

Grudo, E. I. see Azbelev, N. V.; et al., 924:01035 

Guerra, Sergio see Predonzan, Arno; et al., 92h:01067 

(Gimtsche, R.) see Hensel, Kurt, (92d:01071) 

(Gupta, Hansraj) see Vaidya, A. M., 92d:01055 

Gupta, Radha Charan Sudhakara Dvivedi (1855-1910), historian of Indian astronomy and 
mathematics. 92g:01080 

Gushchin, A. K. see Viadimirov, V. S.; et al., 92g:01096 and 92m:01080 

Gyires, B. Béla Barna (1909-1990). 92b:01058 

Habermann, A. N. Alan J. Perlis (1922-1990). 

Hale, Jack K. In memoriam: Lamberto Cesari (1910-1990). 92m:01060 

Halin, Rudolf Das mathematische Werk K. Wagners. [The mathematical work of K. 
Wagner] 92g:01081 

(Hall, Peter Gavin) see Jarrett, R. G. 

(Halmos, Paul R.) see Bibliography: Halmos, Paul Richard, (92m:01044) 

Halperin, Israel The extraordinary inspiration of John von Neumann. 92e:01068 

(Hanf, William P.) see Anellis, Irving H. 

(Hannan, E. J.) see Tweedie, R. L. 


01A History of mathematics and mathematicians 


(Hansen, Morris H.) see Fellegi, I. P. and Tepping, Benjamin J. 

Harborth, Heike Gerhard Ringel—seventy. 92m:01061 

Harré, Rom Obituary: William Kneale. 

(Harris, T. E.) see Rosenblatt, Murray, 92m:01076a and Bibliography: Harris, Theodore E., 
92m:01076b 

(Harvie, Douglas Clark) see Johnston, Lindsay 

Hastak, Alexander see Gera, Milan, 92m:01059aand 92m:01059b 

(Hatanaka, Michio) see Maekawa, Koichi, 92b:01062 

Hattori, Akio The 1990 Japan Mathematical Society Autumn Prize awarded to Tetsuji 
Shioda for his research on Mordell-Weil lattices. (Japanese) 

(Heisenberg, Werner Karl) see Cassidy, David C. 

(Helly, Eduard) see Tikhomirov, V. M., 92k:01039 

Hempel, Carl G. Hans Reichenbach remembered. 92g:01082 

— In memoriam Wolfgang Stegmiiller. 92m:01063a 

Hensel, Kurt GedachtniBrede auf Ernst Eduard Kummer. [Eulogy for Ernst Eduard 
Kummer] (see 92d:01071) 

(Hermann, Jakob) see Nagel, Fritz, 92c:01049 

Hersh, Reuben In memoriam: Nicholas D. Kazarinoff. 92k:01029 

(Hestenes, Magnus) see Obituary: Hestenes, Magnus Rudolf 

(Heyting, Arend) see Alcolea Banegas, Jestis, 92g:01061 

Hibi, Takayuki (with Sally, Judith D.) Dedication. 92g:01083 

Hilbert, David Zum Gediachtnis an Karl-WeierstraB. [In memory of Karl Weierstrass] (see 
924:01071) 

(Hill, Austin Bradford) see Armitage, Peter 

Hilton, Peter J. Working with Alan Turing. 92j:01059 

Hinst, Peter Wolfgang Stegmiillers wissenschaftlicher Werdegang. [Wolfgang Stegmiiller’s 
scientific career] 92m:01063b 

(Hoaglin, D.C.) see Statistical model, 92a:01079 

(Heegh-Krohn, Raphael J.) see Albeverio, Sergio, 92g:01060 

Hofer, Helmut (with Weinstein, Alan; Zehnder, Eduard) Andreas Floer: 1956-1991. 

Hoffman, Kenneth M. (with Leitzel, James R.C.) Award for distinguished service to Dr. 
Lynn Arthur Steen. 

(Hoffmann, I. C. V.) see Richter, Kurt, 92j:01062 

(Hopper, Grace Murray) see Obituary: Hopper, Grace Brewster Murray 

Horgan, Cornelius O. see Abeyaratne, Rohan 

Hormigén Blazquez, Mariano Garcia de Galdeano’s works on algebra. (French and Spanish 
summaries) 92a:01067 

Horvath, Sandor see Bagyinszkiné-Orosz, Anna; et al., 92h:01045 

(Hu, Minfu Tah) see Zhang, Zu Gui, 92k:01042 

(Hua, Luo Geng) see Wang, Yuan', (92g:00027) and Iyanaga, S., (92g:00027) 

(Humal, Arnold) see Tiit, Ene-Margit, (92m:00026) 

(von Humboldt, Alexander) see Wattenberg, Diedrich, 92m:01081 

Hunyadvari, Laszlé see Bagyinszkiné-Orosz, Anna; et al., 92h:01045 

(Huta, Anton) see David, Arnold, 92d:01040 

(Huzino, Seiiti) see Furukawa, Nagata, 92g:01076 

(Huzurbazar, V.S.) see Adke, S. R. 

(Hyman, Anthony) see Buxton, H. W., 92b:01050 

Ibisch, Horst L’ceuvre mathématique de Louis Antoine et son influence. [The mathematical 
works of Louis Antoine and their influence] (see 92c:01054) 

Iglésias, Patrick see Audin, Michéle, 92m:01049 

IV'in, Viadimir Aleksandrovich see Tikhonov, A. N.; et al., 92b:01070; Vainberg, B. R.; et al., 
92g:01095 and Dorodnitsyn, A. A.; et al., 92h:01050 

(I’yushin, A. A.) see Birthday: Ilyushin, A. A. and Shevchenko, Yu. N. 

Invernizzi, Sergio see Predonzan, Arno; et al., 92h:01067 

Ishikawa, Goo see Nishimori, T.; et al., 92m:01072a 

Ishlinskii, A. Yu. (with Fedoseev, I. A.; Ustinov, N. D.; Vizgin, V1. P.; Yushkevich, A. P.) 
On the 80th anniversary of A. T. Grigorian. 

— see also Mikhailov, G. K.; et al., 92h:01062 

Israel, David J. A short sketch of the life and career of John McCarthy. (see 92f:68002) 

Ivanov, Kamen G. see Andreev, Andrei St.; et al., 92m:01048 

Ivasishen, S. D. see Berezanskii, Yu. M.; et al., 92j:01056 

(Iviev, D. D.) see Birthday: Ivlev, D. D. 

(Iwasawa, Kenkichi) see Bibliography: Iwasawa, Kenkichi, 92b:01073a and Coates, John, 
92b:01073b 

Iyanaga, S. Professor Hua Loo Keng in Japan. (see 92g:00027) 

Izobov, N. A. see Azbelev, N. V.; et al., 92d:01035 

(Izumi, Shin-ichi) see Tsuchikura, Tamotsu, 92h:01070 

Izumiya, Shytichi see Nishimori, T.; et al., 92m:01072a 

Jachim, Frantisek Life, scientific work and teaching activities of Jindtich Svoboda. (Czech. 
English summary) 92k:01030 

(Jacobi, Carl Gustav Jacob) see Dirichlet, P. G. Lejeune, (92d:01071) 

(Jahnke, E.) see Hensel, Kurt, (92d:01071) 

(Jain, L.C.) see Biography: Shukla, Kripa Shankar, 92d:01069 

Jakubik, Jan (with Smarda, Bohumil) Seventy years of Professor Frantisek Sik. 92k:01031 

(Jaroch, Otakar) see Kahane, Jean-Pierre, 92e:01059 

(Jarre, Giovanni) see Ferrari, Carlo, 92m:01073b and Rigamonti, Rolando; et al., 92m:01073c 

Jarrett, R.G. Pitman Medal awarded to P. G. Hall. 

(Jiang, Li Fu) see Liu, Jie Min 

John, Oldich see Stara, Jana, 92i:01029 

Johnston, Lindsay Douglas Clark Harvie. 

Jones, William B. W. J. Thron on his 70th birthday. 92g:01084 

Kierdi, Helmo Leo Ainola (on the occasion of his 60th birthday). (Estonian) (see 
92m:00026) 

Kagiwada, Harriet H. Best wishes to Bob on his 65th birthday. 92i:01026c 

Kahane, Jean-Pierre The grand figure of George Pélya. (Czech) 92¢:01059 

(Kalaba, Robert E.) see Casti, John L., 92i:01026a; Tesfatsion, Leigh, 92i:01026b and 
Kagiwada, Harriet H., 92i:01026c 

Kale, B. K. see Adke, S. R. 

Kamiriski, Andrzej Life and work of Professor Jan Mikusinski. 92e:01060 

— (with Skérnik, Krystyna) The list of publications of Jan Mikusinski. 92e:01061 








01A70 


Kanigel, Robert * The man who knew infinity. 92e:01063 

(Kantorovich, L. V.) see Dvortsina, N. S., 92a:01064 and Romanovskii, I. V., 92i:01028 

(Karamata, Jovan) see Tomi¢, Miodrag, 92b:01071 

Karlin, V. A. see Bogolyubov, N. N.; et al., 92d:01037 

Karpelevich, F.I. (with Klimyk, A. U.; Koganov, L. M.; et al.) Naum Yakovlevich Vilenkin 
(on the occasion of his seventieth birthday). (Russian) 92g:01085 

Kartak, Karel (with Kral, Josef; Matyska, Jiti) Professor Jan Mafik (on the occasion of his 
seventieth birthday). (Czech) 92¢:01064 

— (with Kral, Josef; Matyska, Jiti) Seventy years of Professor Jan Marik. 92b:01059 

Kasahara, Koji (with Ohya, Yujiro; Shimakura, N.) Preface. (see 92c:00018a) 

Kastanis, Nikos see Christianidis, Jean P., 92m:01053 

Katsura, Toshiyuki Investigations on Mordell-Weil lattices—the achievements of Tetsuji 
Shioda. (Japanese) 92g:01086 

Kaufmann-Bihler, Walter * T'aycc. (Russian) [Gauss] 92a:01068 

(Kazarinoff, Nicholas D.) see Hersh, Reuben, 92k:01029 

(Kaz'min, Yu. A.) see Gonchar, A. A.; et al. 

(Ke, Zhao) see Sun, Qi; et al. 

(Keldysh, M. V.) see Avduevskii, V. S., 92g:01064 

(Keller, Ott-Heinrich) see Obituary: Keller, Ott-Heinrich, 92m:01089 

(Kelvin, William Thomson, Lord) see Smith, Crosbie, 92b:01069 

(Kennedy, E.S.) see Biography: Kennedy, Edward S., (92b:01015); Bibliography: Kennedy, 
Edward S., (92b:01015) and Berggren, J. Lennart, (92b:01015) 

(Khalatnikov, I. M.) see Recollections of L. D. Landau, 92b:01079a and Landau: the physicist 
and the man, 92b:01079b 

Kharlamov, V. M. see Viro, O. Ya., 92m:01078c 

Khovanskii, G.S. B. D. Aronchik’s work in nomography. (Russian) 92f:01032 

Khristianovich, S. A. see Mikhailov, G. K.; et al., 92h:01062 

Khristov, E. Kh. see Andreev, Andrei St.; et al., 92m:01048 

Khristov, Viadimir Kh. see Andreev, Andrei St.; et al., 92m:01048 

Kielhéfer, Hansjérg (with Scheurle, J.) Dedication to Professor Klaus Kirchgassner. 
92m:01064 

(Kirchgiassner, Klaus) see Kielhéfer, Hansjérg, 92m:01064 

Kiselevskii, L. I. see Vol'vachev, R. T.; et al., 92d:01058 and Apanasevich, P. A.; et al. 

Kivinukk, Andi Jaak Peetre’s ten days in Estonia. (Estonian) (see 92m:00026) 

(Klainerman, Sergiu) see Mathematical scientists receive MacArthur Awards, 92g:01103 

(Klee, Victor) see Biography: Klee, Victor L., 92g:01100a and Bibliography: Klee, Victor L., 
92g:01100b 

(Kleene, Stephen C.) see Biography: Carrier, George F., 92d:01065 

Kleiber, Michal (with K6nig, J. A.) Antoni Sawczuk: a nonconforming scientist to be 
remembered. (see 92i:73003) 

Kleiman, Steven L. Hieronymus Georg Zeuthen (1839-1920). 92m:01065 

(Klein, Felix) see Binder, Christa, 92b:01049 

Klimyk, A. U. see Karpelevich, F. I.; et al., 92g:01085 

(Klokov, Yu. A.) see Biobibliography: Klokovs, Jurijs, 92d:01063 

(Kneale, William) see Harré, Rom 

Knobloch, Eberhard In memoriam: Evert Marie Bruins (1909-1990). 92h:01055 

(Knowles, James K.) see Abeyaratne, Rohan 

Koblitz, Ann Hibner New material on S. V. Kovalevskaya. (Russian) 92h:01056 

(Kobzarev, I. Yu.) see Vizgin, V1. P., 92m:01679 

Koch, Helga Oskar Xaver Schlémilch—ein Férderer des mathematischen Unterrichts 
fiir Techniker und Ingenieure. [Oskar Xaver Schlémilch—a supporter of mathematical 
instruction for technicians and engineers] 92d:01044 

Koch, Helmut V. Nachruf auf Hans Reichardt. [Obituary for Hans Reichardt] 92k:01032 

(Kochin, N. E.) see Anniversary: Birth of Kochin, N. E. 

Koganov, L. M. see Karpelevich, F. 1.; et al., 92g:01085 

Kolaf, Pavel see Fischer, Jan; et al., 92h:01054 and 92m:01058 

Kolesnikov, A.S. * Dunocodusa beprpana Paccena. (Russian) [The philosophy of Bertrand 
Russell] 92d:01045 

Kolmogorov, A. N. Scientific contacts with France. (Russian) 92k:01033 

— see also Gnedenko, B. V., 92a:01066; Yushkevich, A. P., 92k:01034 and Tikhomirov, V. M., 
(92b:58001) 

Kolomiets, V.G. see Mitropol'skii, Yu. A.; et al., 92g:01090 

Konig, J. A. see Kleiber, Michal, (92i:73003) 

(Konstantinov, Michael Spirov) see Obituary: Konstantinov, Michael Spirov 

(Konyus, A. A.) see Benedetti, C. 

Korneichuk, N. P. see Viadimirov, V. S.; et al., 921:01031 

Korolyuk, V.S. (with Portenko, N. I.) A. V. Skorokhod’s research in the area of limit 
theorems for random processes and the theory of stochastic differential equations. 
(Russian. Ukrainian summary) 924:01046 

— (with Portenko, N. I.; Sytaya, G. N.) Anatolii Viadimirovich Skorokhod (on the occasion 
of his sixtieth birthday). (Russian) 92k:01035 

— see also Berezanskii, Yu. M.; et al., 92j:01056 

(Korteweg, D. J.) see van Stigt, Walter P., 92d:01054 

(Kothe, Gottfried) see Schaefer, Helmut H. 

Koval'chuk, L. V. see Mitropol’skii, Yu. A.; et al., 92g:01090 and Kravchuk, M. F., 92d:01047 

(Kovalevskaya, S. V.) see Polubarinova-Kochina, P. Ya., 92a:01073; Bolling, Reinhard, 
92h:01048; Koblitz, Ann Hibner, 92h:01056 and Tsijli, Theodora, (92e:00013) 

(Kowalski, Oldiich) see Smale, Stephen, 92j:01063 

Kracht, Manfred W. In honor of Professor Erwin Kreyszig on the occasion of his seventieth 
birthday. 

Kragh, Helge * Dirac. 92m:01066 

Kral, Josef see Kartak, Karel; et al., 92b:01059; 92¢:01064; LukeS, Jaroslav; et al., 92h:01059 
and 92m:01068 

Krasovskii, N. N. (with Kudryavtsev, L. D.; Leonov, G. A.; Osipov, Yu. S.; Pilyugin, S. 
Yu.) Viktor Aleksandrovich Pliss (on the occasion of his sixtieth birthday). (Russian) 
92m:01067 

Kravchuk, M. F. An account of professorial stipendiary Mikhail Kravchuk’s work from 
November 1915 to November 1916. (Russian) 92d:01047 

(Krein, M.G.) see Exner, Pavel, 92h:01052 

Krein, S.G. see Birman, M. Sh.; et al., 92k:01025 


HISTORY AND BIOGRAPHY 


(Kreyszig, Erwin) see Kracht, Manfred W. 

(Kronecker, Leopold) see Frobenius, Georg Ferdinand, (92d:01071) 

(Kruskal, W. H.) see Statistical model, 92a:01079 

Krutina, Miroslav Professor Karel Winkelbauer (30.10.1925-25.7.1990). (Czech) 
92b:01060 

(Krutkov, Yu. A.) see Gelig, A. Kh. 

Krylov, V.I. see Vol'vachev, R. T.; et al., 92d:01058 

Kubbinga, Henk Hommage a René Taton, pour son 75e anniversaire. [Homage to René 
Taton on his 75th birthday] 

Kubilis, 1. P. (with Nechaev, V. I.; Stechkin, S. B.; Shidlovskii, A. B.) Aleksandr Adol/fovich 
Bukhshtab. (Russian) 92d:01048 

Kubilius, J. (with ReizinS, L.; Riekstins, R.) Ernests Fogels (1910-1985). 92b:01061a 

(Kudé, Akio) see Furukawa, Nagata, 92g:01077 

Kudryavtsev, L. D. see Vainberg, B. R.; et al., 92g:01095; Arnold, V. 1.; et al., 92h:01043; 
Viadimirov, V. A.; et al., 92i:01030; Viadimirov, V. S.; et al., 92i:01031 and Krasovskii, N. 
N,; et al., 92m:01067 

(Kull, Ivar) see Tiit, Ene-Margit, (92m:00026) 

Kummer, Ernst Eduard GedachtniBrede auf Gustav Peter Lejeune irichlet. [Eulogy for 
Gustav Peter Lejeune Dirichlet] (see 92d:01071) 

— see also Hensel, Kurt, (92d:01071) 

Kutateladze, S.S. see Aleksandrov, A. D.; et al., 92d:01033 and Dvortsina, N. S., 92a:01064 

Kuznetsov, B. G. * Einstein. (Spanish) 92f:01033 

van der Laan, P. The van Dantzig Award. 92d:01049 

(Labuz, Stanislaw) see Stankiewicz, Jan 

Ladyzhenskaya, O. A. see Birman, M. Sh.; et al., 92k:01025 

(Lagrange, Joseph Louis) see Borgato, Maria Teresa, 92a:01063; 92c:01042 and Costabel, 
Pierre, 92j:01058 

(Landau, L. D.) see Recollections of L. D. Landau, 92b:01079a and Landau: the physicist and 
the man, 92b:01079b 

Lasota, Andrzej (with Olech, Czestaw) Zdzislaw Opial—a mathematician (1930-1974). 
92c:01047b 

(Lavrent’ev, M. A.) see Viadimirov, V. A., 92d:01056 

Lax, Anneli From one editor to another. 92i:01027b 

Lax, Peter D. Remembering John von Neumann. 92¢e:01066 

Lehmann, Joachim Laudatio. (German) 92h:01057 

(Lehmann, Theodor) see Stein, Erwin 

Lehning, Hervé The birth of Galois and the death of Condorcet. 

(Leibniz, Gottfried Wilhelm) see Gadamer, Hans-Georg, 92c:01046 

Leitzel, James R.C. see Hoffman, Kenneth M. 

Lejewski, Czestaw Stanislaw LeSniewski (1886-1939). (Polish) 92a:01069 

(Lekhnitskii, S.G.) see Mikhlin, S. G.; et al. 

Lenz, Hanfried (with Aigner, Martin; Deuber, W.) Richard Rado 1906-1989. (German) 
92h:01058 

Leonov, G. A. see Krasovskii, N. N.; et al., 92m:01067 

Leray, Jean La vie et l’ceuvre de Serge Sobolev. [The life and works of Sergei Sobolev] 
92a:01070 

(LeSniewski, Stanislaw) see Lejewski, Czestaw, 92a:01069 

(Lewy, Hans) see Reid, Constance, 92j:01061 

Libermann, Paulette Les idées de Louis Antoine concernant l’enseignement de la géométrie. 
[Louis Antoine’s ideas concerning the teaching of geometry] (see 92c:01054) 

Lichnerowicz, André Hommage 4 Edmond Combet. [Homage to Edmond Combet] 
92g:01072 

Lidskii, V. B. see Vainberg, B. R.; et al., 92g:01095 

(Lie, Sophus) see Fritzsche, Bernd, 92g:01075 

(Ligocka, Ewa) see Bergman Prizes awarded, 92g:01099 

Lindley, Dennis V. Good’s work in probability, statistics and the philosophy of science. 
92d:01050 

Lindvall, Torgny W. Doeblin 1915-1940. 92k:01036 

Liu, De Ming? (with Xu, Kang) A hard-working pioneer—in memory of Professor Ben 
Wang Sun. (Chinese) 

Liu, Jie Min Professor Li Fu Jiang and the Institute of Mathematics of Academia Sinica. 
(Chinese) 

Lloyd, E. Keith see Biggs, N. L.; et al., 92m:01062 

Logunov, A. A. Introductory lecture by Academician A. A. Logunov dedicated to Academi- 
cian N. N. Bogolubov on the occasion of his 80th birthday. 92g:01087 

(Lokutsievskii, O. V.) see Brushlinskii, K. V.; et al., 92g:01067 

Lorentz, George G. Autobiography. (see 92g:41001) 

— see also Bibliography: Lorentz, George Gunther, (92g:41001); Doctoral students of George 
G. Lorentz, (92g:41001) and Nevai, Paul, (92g:41001) 

Luke, Jaroslav (with Netuka, Ivan; Vesely, Jiti) Sixty years of Josef Kral. 92h:01059 

— (with Netuka, Ivan; Vesely, Jiti) Josef Kral (on the occasion of his sixtieth birthday). 
(Czech) 92m:01068 

(Lumiste, Ulo) see Parring, Aivo, (92m:00026) 

Lupanov, O. B. see Gonchar, A. A.; et al. 

(Lyantse, V.E.) see Berezanskii, Yu. M.; et al., 92k:01024 

(Lyapunov, A. A.) see Podlovchenko, R. I. 

Lyatker, Ya. * Descartes. (Spanish) 92g:01088 

Lyusternik, L. A. Reminiscences. (Russian) 92h:01060 

Maekawa, Koichi (with Tanaka, Katsuto) The ET interview: Professor Michio Hatanaka. 
92b:01062 

Magnaradze, L.G. The scientific work and public-pedagogical activity of A. M. Razmadze. 
(Russian. English and Georgian summaries) 92m:01069 

(Mahler, Kurt) see Cassels, J. W. S., 92g:01069a and Bibliography: Mahler, Kurt, 
92g:01069b 

Majda, Andrew J. Foreword. 92h:01061 

Makarov, V.S. (with Mal'tsev, Arkadii Anatolievich; Novikov, S. P.; Ryshkov, S. S.; 
Tikhomirova, E. S.; Schwarz, Albert) Vadim Arsen’evich Efremovich. (Russian) 
92b:01063 

— see also Baranovskii, E. P.; et al., 92h:01046 

(Makarov, Valerii Leonidovich) see Dvortsina, N. S., 92a:01064 





47 1992 


Makhrova, I. A. see Dvortsina, N. S., 92a:01064 

Malcolm, Wilf Robert Ian Goldblatt. 92k:01037 

(Malczak, Jan) see Bibliography: Opial, Zdzisiaw, 92c:01047c 

(Mal'tsev, A. I.) see Gainov, A. T.; et al., 92d:01042 

Mal'tsev, Arkadii Anatolievich see Makarov, V. S.; et al., 92b:01063 

(Mambriani, Antonio) see Scaravelli, Corrado, 92g:01093a; Sestini, Giorgio, 92g:01093b and 
Bibliography: Mambriani, Antonio, 92g:01093c 

Mandzhavidze, G. F. see Mikhailov, G. K.; et al., 92h:01062 

(Mangeron, Dumitru Ion) see Corduneann, C.; et al., 92m:01055 

(Manneback, Charles) see Radelet-de Grave, P. 

Marchis, Vittorio see Rigamonti, Rolando; et al., 92m:01073c 

(Maik, Jan) see Kartdék, Karel; et al., 92b:01059; 92e:01064 and Netuka, Ivan 

Marki, Laészl6 Otté Steinfeld (1924-1990). 92g:01089 

Martinez-Maurica, Javier see Bayod, José Manuel; et al., 92d:01036a 

Maslov, V. P. see Vainberg, B. R.; et al., 92g:01095 

Maslowski, Bohdan see Fischer, Jan; et al., 92h:01054 and 92m:01058 

(Matsumura, Hideyuki) see Hibi, Takayuki, 92g:01083 

Matveeva, L. V. Otto Yul/evich Shmidt. The years he lived in the Ukraine. (Russian) 
92a:01071 

Matyska, Jiti see Kartak, Karel; et al., 92b:01059 and 92¢:01064 

(McCarthy, John) see Biography: Carrier, George F., 92d:01065 and Israel, David J., 
(92:68002) 

(McDuff, Dusa) see Biography: McDuff, Dusa, 92d:01068 

McKay, Brendan D. (with Seberry, Jennifer; Vanstone, Scott A.) Ralph Gordon Stanton. 
92m:01070 

McKean, Henry To Natascha. 92i:01027a 

Meinardus, Ginter (with Niirnberger, G.; RieBinger, Thomas; Walz, Guido) In memoriam: 
the work of Lothar Collatz in approximation theory. 92g:01063 

Melnikov, V. A. see Bogolyubov, N. N.; et al., 92d:01037 

Meressoo, Toomas (with Tamme, Enn) The scientific legacy of Sulev Ulm. (Estonian. 
English and Russian summaries) (see 92m:00026) 

(Mériaux, Michel) see Wang, Hao’, 92a:01078b 

(Meschkowski, Herbert) see Nilson, Winfried, 92g:01092 

von Meyenn, Karl Pauli’s belief in exact symmetries. (see 92b:01004) 

Mikhailov, G. K. (with Mandzhavidze, G. F.; Ishlinskii, A. Yu.; Khristianovich, S. A.) 
Academician N. I. Muskhelishvili (on the centennial of his birth). (Russian) 92h:01062 

(Mikhailov, V. P.) see Viadimirov, V. S.; et al., 92g:01096 and 92m:01080 

Mikhlin, S.G. (with Morozov, N. F.; Narbut, M. A.) S. G. Lekhnitskii (on the occasion of 
the eightieth anniversary of his birth). (Russian) 

— see also Préssdorf, Siegfried, 92m:01075 

Mikityuk, Ya. V. see Berezanskii, Yu. M.; et al., 92k:01024 

(Mikusitiski, Jan) see Kaminski, Andrzej, 92e:01060; 92e:01061 and Memories about 
Professor Jan Mikusitiski, 92e:01062 

Millionshchikov, V.M. see Vladimirov, V. S.; et al., 92g:01096 and 92m:01080 

(Miranker, Willard L.) see Birthday: Miranker, Willard Lee 

Mishchenko, E. F. see Bogolyubov, N. N.; et al., 92d:01037 and Vainberg, B. R.; et al., 
92g:01095 

(Mi8ik, Ladislav) see Birthday: Misik, Ladislav, Jr., 92h:01073 

Mitropol'skii, Yu. A. (with Koval/chuk, L. V.; Fedosova, S. A.; Kolomiets, V.G.) Aleksei 
Nikolaevich Bogolyubov (on the occasion of his eightieth birthday). (Russian) 92g:01090 

— (with Samoilenko, A. M.; Bogolyubov, Aleksei Nikolaevich; Charin, V. S.) Otto Yul/evich 
Shmidt (on the centenary of his birth). (Russian) 

— see also Berezanskii, Yu. M.; et al., 92j:01056 and Bogolyubov, N. N.; et al. 

(Mizohata, Sigeru) see Kasahara, Koji; et al., (92c:00018a) and Bibliography: Mizohata, 
Sigeru, (92c:00018a) 

Mlak, Wiodzimierz In memory of Professor Zdzistaw Opial. 92c:01047a 

(Mochizuki, Horace Y.) see Bachmuth, Seymour, 92h:01044 

Moler, Cleve B. Dedication to Gene H. Golub on the occasion of his 1 5th birthday. 

Molino, Pierre La géométrie différentielle des feuilletages dans I’ceuvre de B. Reinhart. [The 
differential geometry of foliations in the works of B. Reinhart] 92h:01072b 

Molz, Evelyne see Miiller-Ponholzer, Arpad, 92m:01063c 

(Moore, J. Strother) see Biography: Bledsoe, Woodrow W., 924:01064 

Morimoto, Tohru (with Yamaguchi, Keizo; Okabe, Yasunori) Dedication. 92k:01038a 

Morozov, N. F. see Mikhlin, S. G.; et al. 

Morozov, S. F. see Avdonin, N. L.; et al. 

Moskona, E.S. see Andreev, Andrei St.; et al., 92m:01048 

(Mosteller, Frederick) see Statistical model, 92a:01079 

(Mukhopadhyay, Asutosh) see Ganguly, Sobhakar, (92f:00027) 

Miiller-Ponholzer, Arpad (with Molz, Evelyne) Die Schriften von Wolfgang Stegmiiller. 
[The writings of Wolfgang Stegmiiller] 92m:01063c 

Mumford, David Oscar Zariski and his work. 92c:01048 

— see also Parikh, Carol, 92b:01064 

(Muskhelishvili, N. 1.) see Mikhailov, G. K.; et al., 92h:01062 and Anniversary: Birth of 
Muskhelishvili, N. I. 

Mycielski, Jan Stanislaw Marcin Ulam (1909-1984). (Polish) 92m:01071 

Myshkis, A. D. (with Oleinik,O. A.) Vyacheslav Vasil’evich Stepanov (on the centenary of 
his birth). (Russian) 92d:01051a 

Nagel, Fritz A catalog of the works of Jacob Hermann (1678-1733). 92c:01049 

Narbut, M. A. see Mikhlin, S. G.; et al. 

Navarro Veguillas, Luis * Einstein, profeta y hereje. (Spanish) (Einstein: prophet and 
heretic] 92g:01091 

Nechaev, V. I. see Kubilis, I. P.; et al., 92d:01048 

Neidhardt, Hagen see Exner, Pavel, 92h:01052 

Neimark, Yu. I. see Avdonin, N. L.; et al. 

Netuka, Ivan (with Vesely, Jiti) Professor Jan Maiik (on the occasion of his seventieth 
birthday). (Czech) 

— see also Luke, Jaroslav; et al., 92h:01059 and 92m:01068 

(Neugebauer, Otto) see Pingree, David 

(von Neumann, John) see Aspray, William, 92d:01034; Danilov, Yu. A., 92e:01056; v. N. 
Whitman, Marina, 92e:01065; Lax, Peter D., 92e:01066; Ulam, Francoise, 92e:01067; 


01A History of mathematics and mathematicians 


Halperin, Israel, 92e:01068 and Vonneuman, Nicholas, 92e:01069 

Nevai, Paul The work of G. G. Lorentz: the 1975-1990 period. (see 92g:41001) 

Nikol’skii, S. M. (with Stechkin, S. B.; Ul’yanov, P. L.) Andrei Andreevich Privalov (on the 
occasion of his sixtieth birthday). (Russian) 92h:01063 

— see also Viadimirov, V. S.; et al., 92i:01031 

Nilson, Winfried (with Schiitz, Helmut) Bildung durch Mathematik. [Education through 
mathematics] 92g:01092 

Nishimori, T. (with Izumiya, Shydichi; Ishikawa, Goo; et al.) Dedication. 92m:01072a 

Nocilla, Silvio Presentation. (Italian) 92m:01073a 

(Noether, Fritz) see Schlote, Karl-Heinz, 92m:01077 

Novikov, S. P. see Makarov, V. S.; et al., 92b:01063 

(Novozhilov, Valentin Valentinovich) see Solomenko, N. S., 92a:01075 and Spasskii, I. D., 
92a:01076 

Novy, Lubos The contribution of Quido Vetter to the history of mathematics. (Czech. 
English and Russian summaries) 92a:01072 

Niirnberger, G. see Meinardus, Ginter; et al., 92g:01063 

v. N. Whitman, Marina John von Neumann: a personal view. 92¢:01065 

(Obukhov, A. M.) see Golitsyn, G. S. 

Oggiano, Sandra see Rigamonti, Rolando; et al., 92m:01073c 

Ogilvie, Marilyn Bailey * Women in science. 92f:01034 

Ohya, Yujiro see Kasahara, Koji; et al., (92c:00018a) 

Okabe, Yasunori see Morimoto, Tohru; et al., 92k:01038a 

(Olbers, Wilhelm) see Wattenberg, Diedrich, 92m:01081 

(Oldham, Peter D.) see Berry, Geoffrey 

Olech, Czestaw see Lasota, Andrzej, 92c:01047b 

Oleinik, O. A. see Myshkis, A. D., 924:01051a 

Olkin, Ingram A conversation with W. Allen Wallis. 

(Onieva, Victor Manuel) see Bayod, José Manuel; et al., 92d:01036a and Bibliography: 
Onieva, Victor Manuel, 92d:01036b 

(Opial, Zdzistaw) see Mlak, Wiodzimierz, 92c:01047a; Lasota, Andrzej, 92c:01047b and 
Bibliography: Opial, Zdzislaw, 92c:01047c 

(Orey, Steven) see Obituary: Orey, Steven 

Osipov, Yu. S. see Krasovskii, N. N.; et al., 92m:01067 

(Otrokev, N. F.) see Avdonin, N. 1; et al. 

(Ovion, Laura) see Wang, Hao! , 92a:01078b 

(Owen, Donald B.) see Schucany, William R. 

Padmanabhan, K.S. V.Ganapathy Iyer (1906-1987). 92h:01064 

P. a, Jarmila Prof Petr Sgall (on the occasion of his sixty-fifth birthday). (Czech) 

(Parasyuk, O.S.) see Bogolyubov, N. N.; et al. 

Parikh, Carol * The unreal life of Oscar Zariski. 92b:01064 

Parring, Aivo Ulo Lumiste (on the occasion of his 60th birthday). (Estonian) (see 
92m:00026) 

Patissier, Guy see Dazord, Pierre, 92g:01070 

(Pauli, Wolfgang) see Bleuler, Konrad, 92g:01066a; 92g:01066b and von Meyenn, Karl, 
(92b:01004) 

Pavlov, A. M. The first Russian woman with the degree of magister in mathematics. 
(Russian) 92h:01065 

(Peak, Istvan) see Bagyinszkiné-Orosz, Anna; et al., 92h:01045 

Peckhaus, Volker Introduction. 92b:01065 

(Peetre, Jaak) see Kivinukk, Andi, (92m:00026) 

Peierls, Rudolf Ernst An appreciation of Professor Tony Skyrme. (see 92b:81002) 

— see also Dalitz, R. H., 92f:01030 and Bethe, H. A., (92b:81002) 

(Pelczar, Andrzej) see Bibliography: Opial, Zdzistaw, 92c:01047c 

(Pentkovskii, M. V.) see Anniversary: Birth of Pentkovskii, M. V. 

Pepe, Luigi see Borgato, Maria Teresa, 92a:01063 and 92c:01042 

(Perlis, Alan J.) see Habermann, A. N. 

Pesaran, M. Hashem The ET interview: Professor Sir Richard Stone. 92b:01067 

(Petersen, Ivar) see Tamm, Maret, (92m:00026) 

Petrina, D. Ya. see Bogolyubov, N. N.; et al. 

(Petrosyan, L. A.) see Birthday: Petrosyan, L. A., 92j:01066 

Petrova, S.S. see Demidov, S. S.; et al., 92g:01074 

Pignedoli, Antonio Remembrance of Cataldo Agostinelli. (Italian) 92h:01066 

Pilyugin, S. Yu. see Krasovskii, N. N.; et al., 92m:01067 

Pingree, David In memoriam: Otto Neugebauer (1899-1990). 

Pini, Bruno Gianfranco Cimmino. (Italian) 92b:01068 

Platonov, V. P. see Vol'vachev, R. T.; et al., 92d:01058 

(Plemelj, Josip) see Vidav, Ivan, 92j:01065 

(Pliss, V. A.) see Krasovskii, N. N.; et al., 92m:01067 

Podlovchenko, R. I. Thoughts on the phenomenon of Aleksei Andreevich Lyapunov. 
(Russian) 

Poggendorff, J.C. * Biographisch-literarisches Handwérterbuch der exakten Naturwis- 
senschaften. Band VIIb. Teil 8. Lieferung 5. (German) [Biographical-literary lexicon of 
the exact natural sciences. Vol. VIIb. Part 8. No. 5] 92c:01050a 

— *& Biographisch-literarisches Handworterbuch der exakten Naturwissenschaften. Band 
VIIb. Teil 9. Lieferung 2. (German) [Biographical-literary lexicon of the exact natural 
sciences. Vol. VIIb. Part 9. No. 2] 92c:01050b 

Polubarinova-Kochina, P. Ya. * Love and mathematics: Sofya Kovalevskaya. 92a:01073 

(Pélya, George) see Kahane, Jean-Pierre, 92e:01059 

(Popov, Vasil A.) see Andreev, Andrei St.; et al., 92m:01048 

Portenko, N. I. see Korolyuk, V. S., 92d:01046 and 92k:01035 

Potapov, M. K. (with Privalov, Andrei Andreevich; Storozhenko, E. A.) Petr Lavrent’evich 
Ul’yanov (on the occasion of his sixtieth birthday). (Russian) 92m:01074 

Pottosin, I. V. The creative legacy of A. P. Ershov (a survey of his work). (Russian. English 
summary) 92c:01051a 

Potts, R. B. see Schwerdtfeger, Peter; et al., 92h:01068 and Tuck, E. O. 

Predonzan, Arno (with Bellen, Alfredo; Guerra, Sergio; Invernizzi, Sergio; Voléi¢, Aljo’a) In 
memory of Ugo Barbuti. (Italian) 92h:01067 

Prikhod’ko, V. Yu. see Vainberg, B. R.; et al., 92g:01095 

Primachuk, L. P. see Balashchenko, V. V.; et al., 92g:01065 

Pritula, Ya. G. see Berezanskii, Yu. M.; et al., 92k:01024 














01A70 


Privalov, Andrei Andreevich see Potapov, M. K.; et al., 92m:01074 and Nikol’skil, S. M.; et 
al., 92h:01063 

(Procopiu, Stefan) see Tutovan, V. 

Préssdorf, Siegfried Solomon G. Mikhlin (1908-1990). 92m:01075 

Pyaskovskii, B. V. The worldview of G. F. Voronoi and the methodology of his works. 
(Russian) 92a:01074 

Radelet-de Grave, P. Charles Manneback, 9 mars 1894-15 décembre 1975. Les débuts de la 
mécanique ondulatoire. [Charles Manneback, March 9, 1894-December 15, 1975. The 
beginnings of wave mechanics] 

(Rado, Richard) see Lenz, Hanfried; et al., 92h:01058 

(Ragland, Frank) see Belhoste, Bruno, 92a:01062 

(Ramanujan, Srinivasa) see Kanigel, Robert, 92e:01063 

Rassias, George M. A summary of C. F. Gauss’s life and mathematical work. (see 
92i:00029) 

(Razmadze, A.M.) see Magnaradze, L. G., 92m:01069 

(Reichardt, Hans) see Obituaries for Berlin mathematicians of the 19th century, 92d:01071 
and Koch, Helmut V., 92k:01032 

(Reichenbach, Hans) see Hempel, Carl G., 92g:01082 

Reid, Constance Hans Lewy 1904-1988. 92j:01061 

(Reinhart, Bruce L.) see Biography: Reinhart, Bruce L., 92h:01072a and Molino, Pierre, 
92h:01072b 

Reizin3, L. see Kubilius, J.; et al., 92b:01061a 

Remmert, Reinhold Karl Stein, Trager der ersten Cantor-Medaille. [Karl Stein, bearer of the 
first Cantor Medal] 924:01052 

Reshetnyak, Yu. G. see Aleksandrov, A. D.; et al., 924:01033 

(de Rham, Georges) see Obituary: de Rham, Georges, 92b:01077 and Bott, Raoul H., 
92b:01078 

Richter, Kurt Leben und Wirken von I. C. V. Hoffmann. [Life and work of I. C. V. Hoffman] 
92j:01062 

Riekstins, R. see Kubilius, J.; et al., 92b:01061a 

(Riemann, Georg Friedrich Bernhard) see Wiederkehr, Karl Heinrich, 92d:01060 

(Ries, Adam) see WuBing, Hans, 92d:01061 and (92m:00034) 

RieBinger, Thomas see Meinardus, Ginter; et al., 92g:01063 

(Riesz, Marcel) see Stegeman, J. D., 92j:01064a and Duistermaat, J. J., 92j:01064b 

Rigamonti, Rolando (with Buzano, Pietro; Oggiano, Sandra; Marchis, Vittorio) Tributes. 
(Italian) 92m:01073c 

Riley, N. see Drazin, P. G., 92k:01027 

(Ringel, Gerhard) see Harborth, Heiko, 92m:01061 and Biggs, N. L.; et al., 92m:01062 

(Robba, Philippe) see Dwork, Bernard, 92d:01041 

(Robinson, George A.) see Wos, Larry, 92g:01098 

(Rokhlin, V. A.) see Vershik, A. M., 92m:01078a; 92m:01078b and Viro, O. Ya., 92m:01078c 

Romanovskii, I. V. L. V. Kantorovich’s works in mathematical programming. 92i:01028 

Rosenblatt, Murray Introductory remarks. 92m:01076a 

(Rosser, Mervyn Stanley) see Segedin, Cecil 

Rozenblyum, G. V. see Birman, M. Sh.; et al., 92k:01025 

(Rubin, Karl) see Cole Prize in algebra, 92m:01088 

Rubinshtein, G. Sh. see Aleksandrov, A. D.; et al., 92d:01033 and Dvortsina, N. S., 92a:01064 

Rund, Hanno In memoriam: Horst-Siegfried Paul Grasser. 92d:01053 

(Rusanov, V. V.) see Bogolyubov, N. N.; et al., 92d:01037 

(Russell, Bertrand A. W.) see Kolesnikov, A. S., 92d:01045 and Grattan-Guinness, Ivor, 

92e:01058 

(Ruubel, Alma) see Birthday: Ruubel, Alma, (92m:00026) 

Ryshkov, S.S. see Makarov, V. S.; et al., 92b:01063; Faddeev, D. K.; et al., 92h:01053 and 
Baranovskii, E. P.; et al., 92h:01046 

Sadovnichii, V. A.’ see Tikhonov, A. N.; et al., 92b:01070 and Gonchar, A. A.; et al. 

Safarov, Yu. G. see Birman, M. Sh.; et al., 92k:01025 

Sally, Judith D. see Hibi, Takayuki, 92g:01083 

Samoilenko, A. M. see Mitropol’skii, Yu. A.; et al. and Bogolyubov, N. N.; et al. 

(Sawcezuk, Antoni) see Kleiber, Michal, (92i:73003) 

Scaravelli, Corrado Antonio Mambriani, 24 March 1898-27 March 1989. (Italian) 
92g:01093a 

Schaefer, Helmut H. Gottfried Kéthe 25.12.1905-30.4.1989. (German) 

Scheurle, J. see Kielhéfer, Hansjérg, 92m:01064 

Schinzel, Andrzej On persons who obtained doctorates under W. Sierpiriski. (Polish) 

(Schiémilch, Oskar Xaver) see Koch, Helga, 924:01044 

Schlote, Karl-Heinz Fritz Noether—Opfer zweier Diktaturen. Tod und Rehabilitierung. 
[Fritz Noether—victim of two dictatorships. Death and rehabilitation] 92m:01077 

(Schmetterer, Leopold) see Witting, Hermann, 92m:01082 

Schneider, Hans see Brualdi, Richard A., 92m:01051a 

(Schneider, Theodor) see Bundschuh, Peter, 92g:01068 

(Schréder, Ernst) see Dipert, Randall R., 92b:01066 

(Schrédinger, Erwin) see Sreekantan, B. V., (92d:81010) 

Schubring, Gert Erratum: “Marcel Brelot (1903-1987): his life and works” [in Cahiers 
du Séminaire d'Histoire des Mathématiques, 11, 1-31, Univ. Paris VI, Paris, 1990; MR 
91b:01068] by Gustave Choquet. (French) (see 92m:01045a) 

Schucany, William R. Obituary: Donald B. Owen. 

Schiitz, Helmut see Nilson, Winfried, 92g:01092 

Schwabik, Stefan see Fischer, Jan; et al., 92h:01054 and 92m:01058 

Schwarz, Albert see Makarov, V. S.; et al., 92b:01063 

(Schwarzenberger, Rolph) see Obituary: Schwarzenberger, Rolph L. E. 

(Schwerdtfeger, Hans) see Schwerdtfeger, Peter; et al., 92h:01068 

Schwerdtfeger, Peter (with Potts, R. B.; Wall, Tim) Hans Schwerdtfeger 1902-90. 
92h:01068 

Sciurevici, Viadimir see Corduneann, C.; et al., 92m:01055 

(Scott, Elizabeth L.) see Billard, Lynne, 92h:01047 

Seberry, Jennifer see McKay, Brendan D.; et al., 92m:01070 

(Seda, Valter) see Gera, Milan, 92m:01059aand 92m:01059b 

Segedin, Cecil Mervyn Stanley Rosser. 

Seidler, Jan see Fischer, Jan; et al., 92h:01054 and 92m:01058 


HISTORY AND BIOGRAPHY 


1992 48 


Selmer, Ernst S. Ralph Tambs Lyche in memoriam. (Norwegian. English summary) 
92£:01035 
Sen, Mridul Kanti see Ganguly, Sobhakar, (92f:00027) 
Sestini, Giorgio Remembrance of Antonio Mambriani. (Italian) 92g:01093b 
(Sgall, Petr) see Panevova, Jarmila 
(Shen, Xie Chang) see Obituary: Shen, Xie Chang 
Shevchenko, Yu. N. A scientific seminar at Moscow State University dedicated to the 80th 
birthday of the Corresponding Member of the Academy of Sciences of the USSR Aleksei 
Antonovich II'yushin. (Russian) 
Shidlovskii, A. B. see Kubilis, I. P.; et al., 92d:01048 
Shimakura, N. see Kasahara, Koji; et al., (92c:00018a) 
(Shioda, Tetsuji) see Katsura, Toshiyuki, 92g:01086 and Hattori, Akio 
(Shmidt, O. Yu.) see Matveeva, L. V., 92a:01071 and Mitropol'skii, Yu. A.; et al. 
Shtogrin, M. 1. see Faddeev, D. K.; et al., 92h:01053 
(Shukla, Kripa Shankar) see Biography: Shukla, Kripa Shankar, 92d:01069 
(Sierpitiski, Waclaw) see Schinzel, Andrzej 
(Sik, Frantisek) see Jakubik, Jan, 92k:01031 
(Silvey, S. D.) see Cox, David Roxbee 
Sinchcombe, R. B. see Dalitz, R. H., (92b:81002) 
(Singh, U.N.) see Yadav, B. S., 92d:01062 
(Skordev, Dimit’r G.) see Biography: Tagamlitski, Yaroslav A., 92d:01070 
Skérnik, Krystyna see Kamitiski, Andrzej, 92e:01061 
(Skorokhod, A. V.) see Korolyuk, V. S., 92d:01046 and 92k:01035 
Skrypnik, I. V. see Berezanskii, Yu. M.; et al., 92j:01056 
(Skyrme, Tony Hilton Royle) see Dalitz, R. H., 92f:01031; (92b:81002) and Peierls, Rudolf 
Ernst, (92b:81002) 
Smale, Stephen The story of the higher-dimensional Poincaré conjecture (what actually 
happened on the beaches of Rio). (Czech) 92j:01063 
— see also Hour’s conversation with Stephen Smale 
Smarda, Bohumil see Jakubik, Jan, 92k:01031 
Smith, Crosbie (with Wise,M. Norton) * Energy and empire. 92b:01069 
(Sobolev, Sergei L’vovich) see Leray, Jean, 92a:01070 
Solomenko, N.S. (with Chernykh, K. F.) Valentin Valentinovich Novozhilov—scholar, 
teacher, citizen. (Russian) 92a:01075 
Solomyak, M. Z. see Aleksandrov, A. D.; et al., 92d:01033 and Birman, M. Sh.; et al., 
92k:01025 
(Sotelongo Codina, Pedro Luis) see Kuznetsov, B. G., 92f:01033 
Spanier, Jerome Modeling—a personal viewpoint. 
Spasskii, I. D. Beginning of the creative path. (Russian) 92a:01076 
(Spitzer, Frank) see Bibliography: Spitzer, Frank L., (92i:60002) 
Sreekantan, B. V. Erwin Schrédinger—his life and views. (see 92d:81010) 
(Stamatis, Evangelos S.) see Christianidis, Jean P., 92m:01053 
Stankiewicz, Jan Reminiscences of Stanislaw Labuz. (Polish) 
(Stanton, Ralph Gordon) see McKay, Brendan D.; et al., 92m:01070 
Star4, Jana (with John, Oldiich) Obituary: Rudolf Svarc. (Czech) 92i:01029 
Stechkin, S. B. see Kubilis, I. P.; et al., 92d:01048; Nikol’skii, S. M.; et al., 92h:01063 and 
Viadimirov, V. A.; et al., 92i:01030 
(Steen, Lynn Arthur) see Hoffman, Kenneth M. 
Stegeman, J.D. Marcel Riesz: collected papers. 92j:01064a 
(Stegmiiller, Wolfgang) see Hempel, Carl G., 92m:01063a; Hinst, Peter, 92m:01063b; 
Miiller-Ponholzer, Arpad, 92m:01063c and Dissertations and habilitations under Wolfgang 
Stegmiiller, 92m:01063d 
Stein, Erwin Theodor Lehmann (10 August 1920-29 August 1991). (German) 
(Stein, Karl) see Remmert, Reinhold, 92d:01052 
(Steinfeld, Ott6) see Marki, Laszlé, 92g:01089 
Stepanov, N. A. see Balashchenko, V. V.; et al., 92g:01065 
(Stepanov, Vyacheslav Vasil’evich) see Myshkis, A. D., 92d:01051a and Gnedenko, B. V., 
924:01051b 
van Stigt, Walter P. * Brouwer’s intuitionism. 924:01054 
(Stoll, Robert R.) see Obituary: Stoll, Robert R. 
(Stolz, Otto) see Binder, Christa, 92b:01049 
(Stone, Richard) see Pesaran, M. Hashem, 92b:01067 
Storozh, O. G. see Berezanskii, Yu. M.; et al., 92k:01024 
Storozhenko, E. A. see Potapov, M. K.; et al., 92m:01074 
Strakhov, V. N. In memory of a friend. (Russian) 92g:01094 
(Sun, Ben Wang) see Liu, De Ming’; et al. 
Sun, Qi (with Tang, Ting You) The 80th birthday of Professor Zhao Ke. (Chinese) 
(Suppes, Patrick) see Biography: Carrier, George F., 92d:01065 
(Suprunenko, D. A.) see Vol’vachev, R. T.; et al., 92d:01058 
(Suzuki, Haruo) see Nishimori, T.; et al., 92m:01072a and Bibliography: Suzuki, Haruo, 
92m:01072b 
(Svarc, Rudolf) see Stard, Jana, 92i:01029 
(Svoboda, Jindfich) see Jachim, Frantisek, 92k:01030 
(Sykes, J. B.) see Landau: the physicist and the man, 92b:01079b 
Synge, J. L. In honor of Professor Nathan Rosen. Concepts. (see 92d:83002) 
Sytaya, G. N. see Korolyuk, V. S.; et al., 92k:01035 
(Tagamlitski, Yaroslav A.) see Biography: Tagamlitski, Yaroslav A., 92d:01070 
(Tambs Lyche, Ralph) see Selmer, Ernst S., 92f:01035 
Tamm, Ebu see Tamm, Maret, (92m:00026) 
Tamm, Maret (with Tamm, Ebu) Ivar Petersen (on the occasion of his 60th birthday). 
(Estonian) (see 92m:00026) 
Tamme, Enn see Meressoo, Toomas, (92m:00026) 
Tanaka, Katsute see Maekawa, Koichi, 92b:01062 
(Tanaka, Noboru) see Morimoto, Tohru; et al., 92k:01038a and Bibliography: Tanaka, 
Noboru, 92k:01038b 
Tang, Ting You see Sun, Qi; et al. 
(Tanur, J. Mi.) see Statistical model, 92a:01079 
Tashev, S. P. see Andreev, Andrei St.; et al., 92m:01048 
Taton, René Pierre Costabel (1912-1989). (French) 92h:01069 
— In memoriam: Pierre Costabel (1912-1989). (French) 





49 1992 


— see also Kubbinga, Henk 

(Taubes, Clifford H.) see Biography: Casson, Andrew J., 92d:01066 

(Teixidor i Batlle, Josep) see Castellet, Manuel, 924:01038 

Telgmaa, Aksel Elmar Etverk (on the occasion of his 90th birthday). (Estonian) (see 
92m:00026) 

Tepping, Benjamin J. (with Waksberg, Joseph) Morris H. Hansen, 1910-1990. 

Tesfatsion, Leigh Introduction. 92i:01026b 

Thom, René La vie et l’euvre de Hassler Whitney. [The life and works of Hassler Whitney] 
92a:01077 

(Thompson, John G.) see Biography: Carleson, Lennart, 92m:01084 

(Thoren, Victor E.) see Westfall, Richard S. 

(Thron, Wolfgang Joseph) see Jones, William B., 92g:01084 

Tiit, Ene-Margit The manuscripts of Arnold Humal. II. Teacher at Tartu University in the 
Estonian Republic. (Estonian. English and Russian summaries) (see 92m:00026) 

— Ivar Kull (25.X1.1928-28.V1.1989). (Estonian) (see 92m:00026) 

Tikhomirov, V.M. A. N. Kolmogorov and the progress of mathematics [in Topological and 
geometric methods of analysis (Russian), 3-11, Voronezh. Gos. Univ., Voronezh, 1989; 
see MR 90k:00023]. (see 92b:58001) 

— Eduard Helly. (Russian) 92k:01039 

Tikhomirova, E.S. see Makarov, V. S.; et al., 92b:01063 

Tikhonov, A. N. (with IVin, Viadimir Aleksandrovich; Sadovnichii, V. A.'; et al.) In 
memory of Yurii Lukich Gaponenko (October 4, 1942-December 7, 1989). (Russian) 
92b:01070 

— see also Birthday: Tikhonov, A. N. 

Tomi¢, Miodrag (with Aljanti¢, S.) Remembering Jovan Karamata. 92b:01071 

Tomil’chik, L.M. see Apanasevich, P. A.; et al. 

(Toom, A. L.) see Kaufmann-Bihler, Walter, 92a:01068 

(Torres, Guillermo) see Obituary: Torres, Guillermo 

(Tréves, Francois) see Steele Prizes awarded in Orono, 92h:01074 

Truesdell, C. Corrections and additions for: “Maria Gaetana Agnesi” [Arch. Hist. Exact Sci. 
40 (1989), no. 2, 113-142; MR 91k:01014}. 

Tsijli, Theodora Sof’ya Kovalevskaya: one hundred years after her death. (Spanish) (see 
92e:00013) 

(Tsirul’skii, A. V.) see Strakhov, V. N., 92g:01094 

Tsuchikura, Tamotsu Shin-ichi Izumi: 1904-1990. 92h:01070 

Tuck, E.O. Retirement of Professor R. B. Potts, A. O. 

(Tulin, Marshall P.) see Biography: Tulin, Marshall P., 92k:01043 

(Turing, Alan) see Hilton, Peter J., 92j:01059 and Whitemore, Hugh, 92j:01060 

Tutovan, V. Stefan Procopiu: the one-hundredth anniversary of his birth. (Romanian) 

Tweedie, R. L. Pitman Medal awarded to E. J. Hannan. 

Ulam, Francoise Nonmathematical reminiscences about Johnny von Neumann. 92¢:01067 

(Ulam, Stanislaw Marcin) see Mycielski, Jan, 92m:01071 

(Ulm, Sulev) see Meressoo, Toomas, (92m:00026) 


Ulyanov, P. L. see Nikol’skii, S. M.; et al., 92h:01063; Gonchar, A. A.; et al. and Potapov, M. 


K,; et al., 92m:01074 

Umbetzhanov, D. U. Academician O. A. Zhautykov (on the occasion of the eightieth 
anniversary of his birth). (Russian) 92k:01040 

Undusk, August Arnold Vihman (on the occasion of his 90th birthday). (Estonian) (see 
92m:00026) 

Ustinov, N. D. see Ishlinskii, A. Yu.; et al. 

Vaidya, A.M. Professor Hansraj Gupta: a tribute to the mathematician and the teacher. 
92d:01055 

Vainberg, B. R. (with Il’'in, Viadimir Aleksandrovich; Kudryavtsev, L. D.; Lidskii, V. B.; 
Arnold, V. L.; Maslov, V. P.; Mishchenko, E. F.; Prikhod’ko, V. Yu.) Mikhail Vasil/evich 
Fedoryuk. (Russian) 92g:01095 

— see also Arno¥d, V. 1.; et al., 92h:01043 

(Vakhaniya, N.N.) see Birthday: Vakhaniya, N. N. 

Valkova, Anna see David, Arnold, 924:01040 

(Vandoulakis, I.M.) see Demidov, S. S.; et al., 92g:01074 

Vanstone, Scott A. see McKay, Brendan D.; et al., 92m:01070 

(Vedernikov, V.1.) see Balashchenko, V. V.; et al., 92g:01065 

Vershik, A.M. Vladimir Abramovich Rokhlin 1919-1984 (on the 70th anniversary of his 
birth). (Russian) 92m:01078a 

— V. A. Rokhlin’s work in ergodic theory. (Russian) 92m:01078b 

(Vescan, Robert T.) see Obituary: Vescan, Robert T., 92b:01076 

Vesely, Jiti see Luke’, Jaroslav; et al., 92h:01059; 92m:01068 and Netuka, Ivan 

(Vetter, Quido) see Novy, LuboS, 92a:01072 

Vidav, Ivan * Josip Plemelj: ob dvajsetletnici smrti. (Slovenian) [Josip Plemelj: on the 
twentieth anniversary of his death] 92j:01065 

(Vihman, Arnold) see Undusk, August, (92m:00026) 

(Vilenkin, N. Ya.) see Karpelevich, F. 1.; et al., 92g:01085 

Viro, O. Ya. (with Kharlamov, V.M.) V. A. Rokhlin’s work in topology. (Russian) 
92m:01078c 

Vizgin, V1. P. We will all miss him. (Russian) 92m:01079 

— see also Ishlinskii, A. Yu.; et al. 

Viadimirov, V. A. Mikhail Alekseevich Lavrent’ev and fluid dynamics (on the occasion of 
the ninetieth anniversary of his birth). (Russian) 92d:01056 

— (with Gonchar, A. A.; Kudryavtsev, L. D.; et al.) Sergei Borisovich Stechkin (on the 
occasion of his seventieth birthday). (Russian) 92i:01030 

Viadimirov, V.S. (with Gushchin, A. K.; Dezin, A. A.; Drozhzhinov, Yu. N.; Zav‘yalov, V. 
1, Millionshchikov, V.M.) Valentin Petrovich Mikhailov (on the occasion of his sixtieth 
birthday). (Russian) 92g:01096 

— (with Dzyadyk, V. K.; Korneichuk, N. P.; Kudryavtsev, L. D.) Sergei Mikhailovich 
Nikol'skii (on the occasion of his eightieth birthday). (Russian) 92i:01031 

— (with Gushchin, A. K.; Dezin, A. A.; Drozhzhinov, Yu. N.; Zav‘yalov, B. I.; Million- 


shchikov, V.M.) Valentin Petrovich Mikhailov (on the occasion of his sixtieth birthday). 


(Russian) 92m:01080 

(Véhandu, Leo) see Birthday: Véhandu, Leo, (92m:00026) 

Voigt, Hans Heinrich Friedrich Gustav GauB, der sog. Kataster-GauB. [Friedrich Gustav 
Gauss, the so-called cadastral Gauss] 92d:01057 


01A History of mathematics and mathematicians 


(Vojta, Paul) see Cole Prize in algebra, 92m:01088 

Voléié, Aljosa see Predonzan, Arno; et al., 92h:01067 

Vol'vachev, R. T. (with Gaishun, I. V.; Kiselevskii, L. I.; Krylov, V. I.; Platonov, V. P.; 
Fedorov, F. I.) Dmitrii Alekseevich Suprunenko. (Russian) 92d:01058 

Vonneuman, Nicholas The philosophical legacy of John von Neumann, in the light of its 
inception and evolution in his formative years. 92¢:01069 

(Voronoi, G. F.) see Pyaskovskii, B. V., 92a:01074 

(Vrkot, Ivo) see Fischer, Jan; et al., 92h:01054 and 92m:01058 

(Wacker, Hansjérg) see Engl, Heinz W., 92h:01051; 92m:01057a and 92m:01057b 

(Wagner, Klaus') see Halin, Rudolf, 92g:01081 

Waksberg, Joseph see Tepping, Benjamin J. 

Wali, Kameshwar C. * Chandra. 924:01059 

Wall, Tim see Schwerdtfeger, Peter; et al., 92h:01068 

Wallace, David J. (with Derrida, B.; Aitchison, I. j. R.) Elizabeth Gardner—an apprecia- 
tion. (see 92f:92014) 

(Wallis, W. Allen) see Olkin, Ingram 

Walz, Guido see Meinardus, Ginter; et al., 92g:01063 

Wang, Hao! * Reflections on Kurt Godel. 92a:01078a 

— * Kurt Gédel. (French) 92a:01078b 

Wang, Yuan! Hua Loo Keng: a brief outline of his life and works. (see 92g:00027) 

— see also Yuan, Xiang Dong; et al. 

Wann, Marie D. A. Ross Eckler, 1901-1991. 

Wattenberg, Diedrich Wilhelm Olbers und Alexander von Humboldt: Begegnungen und 
Wertschatzungen. [Wilhelm Olbers and Alexander von Humboldt: encounters and mutual 
high esteem] 92m:01081 

(WeierstraB, Karl) see Hilbert, David, (92d:01071) 

Weinstein, Alan see Hofer, Helmut; et al. 

Westfall, Richard S. Obituary: Thoren, Victor E. 

Wheeler, Gerald F. American Association of Physics Teachers 1991 Oersted medalist: 
Freeman J. Dyson. 

Whitemore, Hugh Writing about Alan Turing. 92j:01060 

(Whitney, Hassler) see Thom, René, 92a:01077 

Wiederkehr, Karl Heinrich Freunde und Férderer Bernhard Riemanns. Zwei Briefe aus 
seinen letzten Lebensjahren. [Friends and supporters of Bernard Riemann. Two letters 
from the last years of his life] 92d:01060 

Wild, Marcel Obituary: Herbert Gross. 92h:01071 

Wilkes, Maurice V. Charles Babbage—the great uncle of computing? 

(Wilkinson, Jim) see Golub, Gene Howard, 92b:01057a and Fox, L., 92b:01957b 

(Williams, David Anthony) see Cormack, Richard 

Wilson, Curtis In memoriam: Eric John Aiton (1920-1991). 92g:01097 

Wilson, Robin James see Biggs, N. L.; et al., 92m:01062 

(Winkelbauer, Karel) see Krutina, Miroslav, 92b:01060 

Wise, M. Norton see Smith, Crosbie, 92b:01069 

Witting, Hermann A conversation with Leopold Schmetterer. 92m:01082 

Wos, Larry A well-kept secret of history. 92g:01098 

WuBing, Hans * Adam Ries. (German) 92d:01061 

— Adam Ries: Rechenmeister und Cossist. Zum 500. Geburtstag. [Adam Ries: Arithmeti- 
cian and cossist. On the 500th anniversary of his birthday] (see 92m:00034) 

(Xu, Bao Lu) see Zhang, Yao Ting, 92k:01041 

Xu, Kang see Liu, De Ming’; et al. 

Yadav, B.S. U.N. Singh: his life and work. 924:01062 

(Yaglom, I. M.) see Danilov, Yu. A., 92e:01056 

Yamaguchi, Keizo see Morimoto, Tohru; et al., 92k:01038a 

Yavelov, B. E. see Frenkel’, V. Ya., 92k:01028 

(Youtz, Cleo) see Statistical model, 92a:01079 

Yuan, Xiang Dong (with Wang, Yuan') An interview with Professor Yuan Wang. (Chinese) 

Yushkevich, A. P. The election of A. N. Kolmogorov as a foreign member of the French 
Academy of Sciences. (Russian) 92k:01034 

— see also Demidov, S. S.; et al., 92g:01074; Ishlinskii, A. Yu.; et al.; Lyusternik, L. A., 
92h:01060 and Kolmogorov, A. N., 92k:01033 

(Zakai, Moshe) see Biography: Zakai, Moshe M., 92g:01101a and Bibliography: Zakai, 
Moshe M., 92g:01101b 

(Zalgaller, V. A.) see Aleksandrov, A. D.; et al., 92d:01033 

Zanghirati, Luisa Lamberto Cattabriga. (Italian) 92b:01072 

(Zapol’skaya, L.N.) see Pavlov, A. M., 92h:01065 

(Zariski, Oscar) see Parikh, Carol, 92b:01064 and Mumford, David, 92c:01048 

Zassenhaus, Hans see Bundschuh, Peter, 92g:01068 and André, Johannes, 92m:01047 

Zav'yalov, B.1. see Viadimirov, V. S.; et al., 92m:01080 

Zav'yalov, V.1. see Viadimirov, V. S.; et al., 92g:01096 

(Zebrauskas, Tomas) see Zubovas, V., 92c:01052 

Zehnder, Eduard see Hofer, Helmut; et al. 

(Zeuthen, Hieronymous Georg) see Kleiman, Steven L., 92m:01065 

Zhang, Yao Ting Deep yearning—Mr. B. L. Xu, whom I knew well. (Chinese. English 
summary) 92k:01041 

Zhang, Zu Gui A pioneer of contemporary Chinese mathematics—in memory of Dr. Minfu 
Tah Hu on the occasion of the 100th anniversary of his birth. (Chinese) 92k:01042 

(Zhautykov, O. A.) see Umbetzhanov, D. U., 92k:01040 

Zubovas, V. * Tomas Zebrauskas ir jo mokiniai. (Lithuanian) [Tomas Zebrauskas and his 
students] 92c:01052 

(Zweifel, Paul F.) see Greenberg, William, (92h:82112) 


Items listed otherwise than by author 
Anni ~ 
Birth of Kochin, N. E. Nikolai Evgrafovich Kochin (on the occasion of the ninetieth 
anniversary of his birth). (Russian) 
Birth of Krutkov, Yu. A. see Gelig, A. Kh. 
Birth of Kummer, Ernst Eduard see Hensel, Kurt, (92d:01071) 
Birth of Lavrent’ev, M. A. see Viadimirov, V. A., 92d:01056 
Birth of Lekhnitskii, S.G. see Mikhlin, S. G.; et al. 
Birth of Mal'tsev, A. I. see Gainov, A. T.; et al., 92d:01042 














Anniversary: (cont'd. ) 
Birth of Muskhelishvili, N. I. Nikolai Ivanovich Muskhelishvili (on the centenary of his 
birth). (Russian) 
— see also Mikhailov, G. K.; et al., 92h:01062 
Birth of Opial, Zdzislaw see Mlak, Wiodzimierz, 92c:01047a 
Birth of Pentkovskii, M. V. Academician M. V. Pentkovskii (on the occasion of the 
eightieth anniversary of his birth). (Russian) 
Birth of Razmadze, A. M. see Magnaradze, L. G., 92m:01069 
Birth of Rokhlin, V. A. see Vershik, A. M., 92m:01078a 
Birth of Shmidt, O. Yu. see Mitropol’skii, Yu. A.; et al. 
Birth of Stepanov, Vyacheslav Vasil/evich see Myshkis, A. D., 92d:01051a and Gnedenko, 
B. V., 92d:01051b 
Birth of Zhautykov, O. A. see Umbetzhanov, D. U., 92k:01040 
Death of Kovalevskaya, S. V. see Bélling, Reinhard, 92h:01048 
Death of Plemelj, Josip see Vidav, Ivan, 92j:01065 
Death of Svoboda, Jindfich see Jachim, Frantisek, 92k:01030 
Bergman Prizes awarded Bergman Prizes awarded. 92g:01099 
Bibliography: 
A hik, B.D. see Kh kii, G. S., 92f:01032 
Babbage, Charles see Buxton, H. W., 92b:01050 
Barna, Béla see Gyires, B., 92b:01058 
Bitsadze, A. V. see Dorodnitsyn, A. A.; et al., 92h:01050 
Bronshtein, M. P. see Gorelik, G. E., 92d:01043 
Butler, Geoffrey J. Publication list of G. J. Butler. 92c:01041b 
Carstoiu, John see Corduneanu, C., 92m:01054 
Cattabriga, Lamberto see Zanghirati, Luisa, 92b:01072 
Cauchy, Augustin-Louis see Belhoste, Bruno, 92a:01062 
Chevalley, Claude see Chevalley, Catherine, 92c:01044 
Cimmino, Gianfranco see Pini, Bruno, 92b:01068 
Climescu, Alexandru see Corduneanu, Adrian, 92k:01026 
Colombo, Giuseppe see Grioli, Giuseppe, 92g:01078 
Combet, Edmond (Euvres d’Edmond Combet. [Works of Edmond Combet] 92g:01071 
Costabel, Pierre see Taton, René, 92h:01069 
DeGroot, Morris H. Biography of Morris H. DeGroot. 924:01067 
Dilworth, Robert Palmer Mathematical publications of Robert P. Dilworth. (see 
92f:01002) 
Dirac, Paul Adrien Maurice see Kragh, Helge, 92m:01066 
Ershov, A. P. see Pottosin, I. V., 92c:01051a 
Fan, Ky Publications of Ky Fan. 92m:01051d 
Feng, Kang Happy birthday, Professor Feng Kang! 92m:01087 
Fogels, E. K. List of publications of Ernests Fogels. 92b:01061b 
Franken, Peter Obituary: Prof. Dr. rer. nat. habil. Peter Franken. 92b:01075 
Gaponenko, Yu. L. see Tikhonov, A. N.; et al., 92b:01070 
Gédel, Kurt Friedrich see Wang, Hao! , 92a:01078b 
Grothendieck, Alexander Bibliographie d’Alexander Grothendieck. [Bibliography of 
Alexander Grothendieck] 92c:01053b 
Halmos, Paul Richard Bibliography of Paul Halmos. (see 92m:01044) 
Harris, Theodore E. Publication list of T. E. Harris. 92m:01076b 
Hatanaka, Michio see Maekawa, Koichi, 92b:01062 
Hermann, Jacob see Nagel, Fritz, 92c:01049 
Huzino, Seiiti see Furukawa, Nagata, 92g:01076 
Iwasawa, Kenkichi List of publications of Kenkichi Iwasawa. 92b:01073a 
Izumi, Shin-ichi see Tsuchikura, Tamotsu, 92h:01070 
Jain, Laxmi Chandra Two great Indian scholars. 92d:01069 
Kantorovich, L. V. see Dvortsina, N. S., 92a:01064 
Kennedy, Edward S. List of publications of E. S. Kennedy. (see 92b:01015) 
Kirchgassner, Klaus see Kielhéfer, Hansjérg, 92m:01064 
Klee, Victor L. Bibliography of Victor Klee. 92g:01100b 
Klokovs, Jurijs * Profesors Jurijs Klokovs. (Latvian) [Professor Jurijs Klokovs] 
92d:01063 
Kral, Josef see Luke3, Jaroslav; et al., 92h:01059 and 92m:01068 
Kudo, Akio see Furukawa, Nagata, 92g:01077 
LeSniewski, Stanisiaw see Lejewski, Czestaw, 92a:01069 
Lorentz, George Gunther Publications of George G. Lorentz. (see 92g:41001) 
Mahler, Kurt List of publications of Kurt Mahler. 92g:01069b 
Mambriani, Antonio The publications of Antonio Mambriani. (Italian) 92g:01093c 
Manneback, Charles see Radelet-de Grave, P. 
Maik, Jan see Kartak, Karel; et al., 92b:01059 and 92e:01064 
Meschkowski, Herbert see Nilson, Winfried, 92g:01092 
Mikhailov, V. P. see Viadimirov, V. S.; et al., 92g:01096 
Mikusiniski, Jan see Kamiriski, Andrzej, 92e:01061 
Misik, Ladislav, Jr. 70th birthday of Professor Ladislav Misik. 92h:01073 
Mizohata, Sigeru Publications of S. Mizohata. (see 92c:00018a) 
Mosteller, Frederick * A statistical model. 92a:01079 
Nikolskii, S. M. see Viadimirov, V. S.; et al., 92i:01031 
Novozhilov, V. V. see Solomenko, N. S., 92a:01075 
Onieva, Victor Manuel Publications of Victor Onieva. (Spanish) 92d:01036b 
Opial, Zdzislaw Bibliography of Zdzislaw Opial. 92c:01047c 
Plemelj, Josip see Vidav, Ivan, 92j:01065 
Pliss, V. A. see Krasovskii, N. N.; et al., 92m:01067 
Popov, Vasil Atanasov see Andreev, Andrei St.; et al., 92m:01048 
Reinhart, Bruce L. A short biography of Bruce Reinhart. 92h:01072a 
Ringel, Gerhard see Harborth, Heiko, 92m:01061 
Rusanov, V. V. see Bogolyubov, N. N.; et al., 924:01037 
Ruubel, Alma Alma Ruubel (on the occasion of her 90th birthday). (Estonian) (see 
92m:00026) 
Seda, Valter see Gera, Milan, 92m:01059a and 92m:01059b 
Shukla, Kripa Shankar Two great Indian scholars. 924:01069 
Sik, Frantisek see Jakubik, Jan, 92k:01031 
Spitzer, Frank L. Publications of Frank Spitzer. (see 92i:60002) 








01A70 HISTORY AND BIOGRAPHY 1992 50 


Bibliography: (cont’d. ) 


Stegmiiller, Wolfgang see Miiller-Ponholzer, Arpad, 92m:01063c 
Stone, Richard see Pesaran, M. Hashem, 92b:01067 

Suzuki, Haruo Publications of Haruo Suzuki. 92m:01072b 
Svarc, Rudolf see Stara, Jana, 92i:01029 

Svoboda, Jindiich see Jachim, Frantisek, 92k:01030 
Tagamlitski, Yaroslav A. Y. A. Tagamlitzki (a short biographical note). 92d:01070 
Tanaka, Noboru Mathematical works of N. Tanaka. 92k:01038b 
Tsirul’skii, A. V. see Strakhov, V. N., 92g:01094 

Ulam, Stanislaw Marcin see Mycielski, Jan, 92m:01071 

Ulm, Sulev see Meressoo, Toomas, (92m:00026) 

Vilenkin, N. Ya. see Karpelevich, F. L.; et al., 92g:01085 

von Neumann, John see Aspray, William, 92d:01034 

Vrkot, Ivo see Fischer, Jan; et al., 92h:01054 and 92m:01058 
Winkelbauer, Karel see Krutina, Miroslav, 92b:01060 

Zakai, Moshe M. Publications by Moshe Zakai. 92g:01101b 
Zalgaller, V. A. see Aleksandrov, A. D.; et al., 92d:01033 

Zariski, Oscar see Parikh, Carol, 92b:01064 


Biobibliography: 


Klokovs, Jurijs * Profesors Jurijs Klokovs. (Latvian) [Professor Jurijs Klokovs] 
92d:01063 


Biography: 


Amerbaev, V. M. V. M. Amerbaev, Academician of the Academy of Sciences of the 
Kazakh SSR (on the occasion of his sixtieth birthday). (Russian) 

Azumaya, Goro Biography of Goro Azumaya. (see 92h:16001) 

Babbage, Charles see Buxton, H. W., 92b:01050 and Wilkes, Maurice V. 

Bernstein, S. N. see Bogolyubov, Aleksei Nikolaevich, 92j:01057 

Bitsadze, A. V. see Dorodnitsyn, A. A.; et al., 92h:01050 

Bledsoe, Woodrow W. Automatic theorem proving awards presented. 92d:01064 

Blinov, F. A. see Derevyanchenko, A. A. 

Bogolyubov, Aleksei Nikolaevich see Mitropol’skii, Yu. A.; et al., 92g:01090 

Borel, Armand 1991 Steele Prizes awarded in Orono. 92h:01074 

Borovkov, A. A. Aleksandr Alekseevich Borovkov (on the occasion of his sixtieth 
birthday). (Russian) 92m:01086 

Bowditch, Nathaniel see Albree, Joe, 92m:01046 

Boyer, Robert S. Automatic theorem proving awards presented. 92d:01064 

Bronshtein, M. P. see Gorelik, G. E., 92d:01043 

Brunswick, Natascha Artin see McKean, Henry, 92i:01027a 

Calabi, Eugenio 1991 Steele Prizes awarded in Orono. 92h:01074 

Calderén Alberto Pedro Alberto P. Calderén receives National Medal of Science. 
92m:01083 

Carleson, Lennart Carleson and Thompson receive Wolf Prize. 92m:01084 

Carrier, George F. National Medals of Science. 924:01065 

Carstoiu, John see Corduneanu, C., 92m:01054 

Casson, Andrew J. 1991 Oswald Veblen Prize in Geometry awarded in San Francisco. 
92d:01066 

Cauchy, Augustin-Louis see Belhoste, Bruno, 92a:01062 

Chebyshev, P. L. see Chebysheva, K. V. 

Collatz, Lothar see Lehmann, Joachim, 92h:01057 

Das Gupta, S.C. see Das Gupta, S. C., 92c:01045a 

DeGroot, Morris H. Biography of Morris H. DeGroot. 92d:01067 

Delone, B. N. see Faddeev, D. K.; et al., 92h:01053 

Descartes, René see Lyatker, Ya., 92g:01088 

Dilworth, Robert Palmer Biography. (see 92f:01002) 

Dirac, Paul Adrien Maurice see Kragh, Helge, 92m:01066 

Dyson, Freeman J. see Wheeler, Gerald F. 

Eidel‘man, S. D. see Berezanskii, Yu. M.; et al., 92j:01056 

Einstein, Albert see Frenkel’, V. Ya., 92k:01028 

Ershov, Yu. L. Yurii Leonidovich Ershov (on the occasion of his fiftieth birthday). 
(Russian) 92g:01102 

Fedorov, F. I. see Apanasevich, P. A.; et al. 

Fefferman, Charles Louis Bergman Prize awarded to Charles Fefferman. 92m:01085 

Fomin, V. M. Vasilii Mikhailovich Fomin (on the occasion of his fiftieth birthday). 
(Russian) 

Gauss, Carl Friedrich see Kaufmann-Bihler, Walter, 92a:01068 

Gauss, Friedrich Gustav see Voigt, Hans Heinrich, 92d:01057 

Gelfand, I. M. see Gindikin, S. G. 

Gédel, Kurt Friedrich see Wang, Hao! , 92a:01078a and 92a:01078b 

Grigor’yan, A. T. see Ishlinskii, A. Yu.; et al. 

Grosjean, Carl Clement Curriculum vitae of Professor C. C. G 

Grothendieck, Alexander Foreword. 92c:01053a 

Hannan, Edward James see Tweedie, R. L. 

Hatanaka, Michie see Maekawa, Koichi, 92b:01062 

Hoffmann, I.C. V. see Richter, Kurt, 92j:01062 

Humal, Arnold see Tiit, Ene-Margit, (92m:00026) 

Huta, Anton see David, Arnold, 924:01040 

Huzino, Seiiti see Furukawa, Nagata, 92g:01076 

Ilyushin, A. A. see Shevchenko, Yu. N. 

Ivlev, D. D. Dyuis Danilovich Ivlev (on the occasion of his sixtieth birthday). (Russian) 

Jain, Laxmi Chandra Two great Indian scholars. 92d:01069 

Kantorovich, L. V. see Dvortsina, N. S., 92a:01064 

Kennedy, Edward S. E. S. Kennedy: a brief biography. (see 92b:01015) 

Klee, Victor L. Biography of Victor Klee. 92g:01100a 

Kleene, Stephen C. National Medals of Science. 92d:01065 

Klokovs, Jurijs * Profesors Jurijs Klokovs. (Latvian) [Professor Jurijs Klokovs] 
92d:01063 

Kral, Josef see Luke’, Jaroslav; et al., 92h:01059 

Krutkov, Yu. A. see Gelig, A. Kh. 

Kudé, Akio see Furukawa, Nagata, 92g:01077 

Lekhnitskii, S.G. see Mikhlin, S. G.; et al. 


jean. 92k:01044 





51 1992 01A History of mathematics and mathematicians 


Biography: (cont’d. ) 

LeSniewski, Stanislaw see Lejewski, Czesiaw, 92a:01069 

Lewy, Hans see Reid, Constance, 92j:01061 

Ligocka, Ewa Bergman Prizes awarded. 92g:01099 

Mafl'tsev, A. I. see Gainov, A. T.; et al., 92d:01042 

Maik, Jan see Karték, Karel; et al., 92b:01059 and 92¢:01064 

McCarthy, John National Medals of Science. 924:01065 

McDuff, Dusa 1991 Ruth Lyttle Satter Prize in Mathematics awarded in San Francisco. 
92d:01068 

Mikhailov, V. P. see Viadimirov, V. S.; et al., 92g:01096 and 92m:01080 

Misik, Ladislav, Jr. 70th birthday of Professor Ladislav Misik. 92h:01073 

Moore, J. Strother Automatic theorem proving awards presented. 924:01064 

Mosteller, Frederick * A statistical model. 92a:01079 

Muskhelishvili, N. I. Nikolai Ivanovich Muskhelishvili (on the centenary of his birth). 
(Russian) 

— see also Mikhailov, G. K.; et al., 92h:01062 

Novozhilov, V. V. see Solomenko, N. S., 92a:01075 

Plemelj, Josip see Vidav, Ivan, 92j:01065 

Pélya, George see Kahane, Jean-Pierre, 92¢:01059 

Privalov, Andrei Andreevich see Nikol’skii, S. M.; et al., 92h:01063 

Reinhart, Brace L. A short biography of Bruce Reinhart. 92h:01072a 

Ries, Adam see WuBing, Hans, 92d:01061 

Rokhlin, V. A. see Vershik, A. M., 92m:01078a 

Rubin, Karl C. 1992 Cole Prize in algebra. 92m:01088 

Rusanov, V. V. see Bogolyubov, N. N.; et al., 92d:01037 

Russell, Bertrand A. W. see Kolesnikov, A. S., 92d:01045 

Ryshkov, S.S. see Baranovskii, E. P.; et al., 92h:01046 

Sawczuk, Antoni see Kleiber, Michal, (92i:73003) 

Shukla, Kripa Shankar Two great Indian scholars. 92d:01069 

Skorokhod, A. V. see Korolyuk, V. S.; et al., 92k:01035 

Solomyak, M. Z. see Birman, M. Sh.; et al., 92k:01025 

Stechkin, S. B. see Viadimirov, V. A.; et al., 92i:01030 

Stone, Richard see Pesaran, M. Hashem, 92b:01067 

Suppes, Patrick National Medals of Science. 92d:01065 

Tagamlitski, Yaroslav A. Y. A. Tagamlitzki (a short biographical note). 92d:01070 

Taubes, Clifford H. 1991 Oswald Veblen Prize in Geometry awarded in San Francisco. 
92d:01066 

Thompson, John G. Carleson and Thompson receive Wolf Prize. 92m:01084 

Tréves, Francois 1991 Steele Prizes awarded in Orono. 92h:01074 

Tulin, Marshall P. Marshall P. Tulin. 92k:01043 

Ulam, Stanislaw Marcin see Mycielski, Jan, 92m:01071 

Ulm, Sulev see Meressoo, Toomas, (92m:00026) 

Ulyanov, P. L. see Potapov, M. K.; et al., 92m:01074 

Vojta, Paul 1992 Cole Prize in algebra. 92m:01088 

von Neumann, John see Aspray, William, 92d:01034 

Wilkinson, James Hardy see Fox, L., 92b:01057b 

Zakai, Moshe M. Foreword. 92g:01101a 

Zalgaller, V. A. see Aleksandrov, A. D.; et al., 92d:01033 

Zapol'skaya, L. N. see Pavlov, A. M., 92h:01065 

Zariski, Oscar see Parikh, Carol, 92b:01064 and Mumford, David, 92c:01048 

Zebrauskas, Tomas see Zubovas, V., 92c:01052 


Birthday: 


Ainola, Leo see Kaerdi, Helmo, (92m:00026) 

Amerbaev, V.M. Vil'’zhan Mavlyutinovich Amerbaev (on the occasion of his sixtieth 
birthday). (Russian) 

— V. M. Amerbaev, Academician of the Academy of Sciences of the Kazakh SSR (on the 
occasion of his sixtieth birthday). (Russian) 

Bitsadze, A. V. see Dorodnitsyn, A. A.; et al., 92h:01050 

Bogolyubov, Aleksei Nikolaevich see Mitropol’skii, Yu. A.; et al., 92g:01090 

Borovkov, A. A. Aleksandr Alekseevich Borovkov (on the occasion of his sixtieth 
birthday). (Russian) 92m:01086 

— Academician A. A. Borovkov (on the occasion of his sixtieth birthday). (Russian) 

Carstoiu, John see Corduneanu, C., 92m:01054 

Eidelman, S. D. see Berezanskii, Yu. M.; et al., 92j:01056 

Ershov, Yu. L. Yurii Leonidovich Ershov (on the occasion of his fiftieth birthday). 
(Russian) 92g:01102 

Etverk, Elmar see Telgmaa, Aksel, (92m:00026) 

Fedorov, F.1. see Apanasevich, P. A.; et al. 

Feng, Kang Happy birthday, Professor Feng Kang! 92m:01087 

Fomin, V. M. Vasilii Mikhailovich Fomin (on the occasion of his fiftieth birthday). 
(Russian) 

Gelfand, I. M. see Gindikin, S. G. 

Golub, Gene Howard see Moler, Cleve B. 

Grigor'yan, A. T. see Ishlinskii, A. Yu.; et al. 

Grosjean, Carl Clement Curriculum vitae of Professor C. C. Grosjean. 92k:01044 

Huta, Anton see David, Arnold, 92d:01040 

Ilyushin, A. A. Aleksei Antonovich Il'yushin (on the occasion of his eightieth birthday). 
(Russian) 

— see also Shevchenko, Yu. N. 

Iviev, D. D. Dyuis Danilovich Ivlev (on the occasion of his sixtieth birthday). (Russian) 

Kaz'min, Yu. A. see Gonchar, A. A.; et al. 

Kirchgassner, Klaus see Kielhéfer, Hansjérg, 92m:01064 

Kral, Josef see Luked, Jaroslav; et al., 92h:01059 and 92m:01068 

Lumiste, Ulo see Parring, Aivo, (92m:00026) 

Lyantse, V. E. see Berezanskii, Yu. M.; et al., 92k:01024 

Mafik, Jan see Kartak, Karel; et al., 92b:01059 and 92¢:01064 

Mikhailov, V. P. see Viadimirov, V. S.; et al., 92g:01096 and 92m:01080 

Miranker, Willard Lee Willard L. Miranker, 60 years. 

Misik, Ladislav, Jr. 70th birthday of Professor Ladislav Misik. 92h:01073 

Mizohata, Sigeru see Kasahara, Koji; et al., (92c:00018a) 


Birthday: (cont'd. ) 
Nikol'skii, S. M. see Viadimirov, V. S.; et al., 92i:01031 
Parasyuk, O.S. see Bogolyubov, N. N.; et al. 
Petersen, Ivar see Tamm, Maret, (92m:00026) 
Petrosyan, L. A. L. A. Petrosyan (on the occasion of his fiftieth birthday). (Russian) 
92j:01066 
Pliss, V. A. see Krasovskii, N. N.; et al., 92m:01067 
Privalov, Andrei Andreevich see Nikol’skii, S. M.; et al., 92h:01063 
Ringel, Gerhard see Harborth, Heiko, 92m:01061 
Rusanov, V. V. see Bogolyubov, N. N.; et al., 92d:01037 
Ruubel, Alma Alma Ruubel (on the occasion of her 90th birthday). (Estonian) (see 
92m:00026) 
Ryshkov, S.S. see Baranovskii, E. P.; et al., 92h:01046 
Seda, Valter see Gera, Milan, 92m:01059aand 92m:01059b 
Sgall, Petr see Panevova, Jarmila 
Sik, Frantisek see Jakubik, Jan, 92k:01031 
Skorokhod, A. V. see Korolyuk, V. S.; et al., 92k:01035 
Solomyak, M. Z. see Birman, M. Sh.; et al., 92k:01025 
Stechkin, S. B. see Viadimirov, V. A.; et al., 92i:01030 
Suzuki, Haruo see Nishimori, T.; et al., 92m:01072a 
Tikhonov, A. N. Academician A. N. Tikhonov (on the occasion of his 85th birthday). 
(Russian) 
— Andrei Nikolaevich Tikhonov (on the occasion of his 85th birthday). (Russian) 
Ulyanov, P. L. see Potapov, M. K.; et al., 92m:01074 
Vakhaniya, N. N. Nikolai Nikolaevich Vakhaniya (on the occasion of his sixtieth 
birthday). (Georgian) 
Vihman, Arnold see Undusk, August, (92m:00026) 
Vilenkin, N. Ya. see Karpelevich, F. 1.; et al., 92g:01085 
Véhandu, Leo Leo Véhandu (on the occasion of his 60th birthday). (Estonian) (see 
92m:00026) 
Vrkot, Ivo see Fischer, Jan; et al., 92h:01054 and 92m:01058 
Zalgaller, V. A. see Aleksandrov, A. D.; et al., 92d:01033 
Calendar of anniversaries Calendar of anniversaries. (Russian) 92j:01067 
Cole Prize in algebra 1992 Cole Prize in algebra. 92m:01088 
Conference: 
Antoine, Louis * Journée Louis Antoine. (French) [Louis Antoine Conference] 
92c:01054 
Correspondence: 
Cauchy, Augustin-Louis see Belhoste, Bruno, 92a:01062 


Exact natural sciences, biographical-literary see Poggendorff, J. C., 92c:01050a and 
92c:01050b 
Women in science see Ogilvie, Marilyn Bailey, 92f:01034 
Dissertations and habilitations under Wolfgang Stegmiiller Die Promotionen und Habili- 
tationen bei Wolfgang Stegmiiller. [The dissertations and habilitations under Wolfgang 
Stegmiiller] 92m:01063d 
Doctoral students of George G. Lorentz Doctoral students of George G. Lorentz. (see 
92g:41001) 
Hour’s conversation with Stephen Smale An hour’s conversation with Stephen Smale. 
Landau: the physicist and the man * Landau: the physicist and the man. 92b:01079b 
Mathematical scientists receive MacArthur Awards Mathematical scientists receive 
MacArthur Awards. 92g:01103 
Memories about Professor Jan Mikusitiski Memories about Professor Jan Mikusinski. 
92e:01062 
Nachrufe auf Berliner Mathematiker des 19. Jahrhunderts * Nachrufe auf Berliner 
Mathematiker des 19. Jahrhunderts. (German) [Obituaries for Berlin mathematicians of 
the 19th century] 92d:01071 
Obituaries for Berlin mathematicians of the 19th century * Nachrufe auf Berliner Mathe- 
matiker des 19. Jahrhunderts. (German) [Obituaries for Berlin mathematicians of the 
19th century] 92d:01071 
Obituary: 
Agostinelli, Cataldo see Pignedoli, Antonio, 92h:01066 
Aiton, Eric John see Wilson, Curtis, 92g:01097 
Barna, Béla see Gyires, B., 92b:01058 
Bates, R.H.T. Dedication: Professor R. H. T. Bates 1929-1990. 
Bukhshtab, A. A. see Kubilis, I. P.; et al., 92d:01048 
Cattabriga, Lamberto see Zanghirati, Luisa, 92b:01072 
Chanturiya, T. A. see Azbelev, N. V.; et al., 92d:01035 
Cimmino, Gianfranco see Pini, Bruno, 92b:01068 
Climescu, Alexandru see Corduneanu, Adrian, 92k:01026 
Combet, Edmond see Dazord, Pierre, 92g:01070 
Costabel, Pierre see Taton, René, 92h:01069( 
de Rham, Georges Georges de Rham (1903-1990). (French) 92b:01077 
DiPerna, Ronald J. see Majda, Andrew J., 92h:01061 
Dirichlet, P. G. Lejeune see Kummer, Ernst Eduard, (92d:01071) 
Eckler, A. Ross see Wann, Marie D. 
Efremovich, V. A. see Makarov, V. S.; et al., 92b:01063 
Enescu, Ion Ion Prof. Dr. Ion I. Enescu (1930-1989). 92b:01074 
Ershov, A. P. Reminiscences about Andrei Petrovich Ershov. (Russian) 92c:01051b 
Evans, Trevor Trevor Evans: 1925-1991. 
Fedoryuk, M. V. Mikhail Vasil/evich Fedoryuk (obituary). (Russian) 92d:01072 
— see also Vainberg, B. R.; et al., 92g:01095 and Arnold, V. I.; et al., 92h:01043 
Fernbach, Sidney In memoriam: Sid Fernbach (1917-1991). 92g:01104 
Floer, Andreas see Hofer, Helmut; et al. 
Fogels, E. K. see Kubilius, J.; et al., 92b:01061a 
Franken, Peter Obituary: Prof. Dr. rer. nat. habil. Peter Franken. 92b:01075 
Gaponenko, Yu. L. see Tikhonov, A. N.; et al., 92b:01070 
Gardner, Elizabeth see Wallace, David J.; et al., (92f:92014) 
Grasser, Horst-Siegfried Paul see Rund, Hanno, 92d:01053 
Gupta, Hansraj see Vaidya, A. M., 92d:01055 








01A70 


Obituary: (cont'd. ) 
Hanf, William P. see Anellis, Irving H. 
Hansen, Morris H. see Fellegi, I. P. and Tepping, Benjamin J. 
Hestenes, Magnus Rudolf Magnus Hestenes: 1906-1991. 
Hill, Austin Bradford see Armitage, Peter 
Hopper, Grace Brewster Murray Grace Murray Hopper 1906-1992. 
Izumi, Shin-ichi see Tsuchikura, Tamotsu, 92h:01070 
Jacobi, Carl Gustav Jacob see Dirichlet, P. G. Lejeune, (92d:01071) 
Keller, Ott-Heinrich In memoriam Ott-Heinrich Keller. (German) 92m:01089 
Kneale, William C. see Harré, Rom 
Kobzarev, I. Yu. see Vizgin, V1. P., 92m:01079 
Konstantinov, Michael Spirov Professor M. S. Konstantinov (1921-1991). 
Konyus, A. A. see Benedetti, C. 
Kéthe, Gottfried see Schaefer, Helmut H. 
Kronecker, Leopold see Frobenius, Georg Ferdinand, (92d:01071) 
Kull, Ivar see Tiit, Ene-Margit, (92m:00026) 
Labuz, Stanislaw see Stankiewicz, Jan 
Lehmann, Theodor see Stein, Erwin 
Lokutsievskii, O. V. see Brushlinskii, K. V.; et al., 92g:01067 
Mahler, Kurt see Cassels, J. W.S., 92g:01069a 
Mambriani, Antonio see Scaravelli, Corrado, 92g:01093a and Sestini, Giorgio, 92g:01093b 
Mangeron, Dumitru Ion see Corduneanu, C.; et al., 92m:01055 
Meschkowski, Herbert see Nilson, Winfried, 92g:01092 
Mikhlin, Solomon G. see Préssdorf, Siegfried, 92m:01075 
Neugebauer, Otto see Pingree, David 
Obukhov, A. M. see Golitsyn, G. S. 
Oldham, Peter D. see Berry, Geoffrey 
Orey, Steven In memoriam Steven Orey. 
Otrokov, N. F. see Avdonin, N. L.; et al. 
Perlis, Alan J. see Habermann, A. N. 
Popov, Vasil Atanasov see Andreev, Andrei St.; et al., 92m:01048 
Schwarzenberger, Rolph L. E. Obituary. Professor Rolph Schwarzenberger. 
Shen, Xie Chang In memory of X. C. Shen. (Chinese) 
Silvey, Samuel David see Cox, David Roxbee 
Skyrme, Tony Hilton Royle see Dalitz, R. H., (92b:81002) 
Sobolev, Sergei L'vovich see Leray, Jean, 92a:01070 
Stoll, Robert R. In memoriam: Robert R. Stoll. 
Suprunenko, Dmitrii Alekseevich see Vol'vachev, R. T.; et al., 92d:01058 
Svarc, Rudolf see Stara, Jana, 92i:01029 
Tambs Lyche, Ralph see Selmer, Ernst S., 92f:01035 
Teixidor i Batlle, Josep see Castellet, Manuel, 924:01038 
Torres, Guillermo Guillermo Torres. (Spanish) 
Tsirul’skii, A. V. see Strakhov, V. N., 92¢:01094 
Vedernikov, V. I. see Balashchenko, V. V.; et al., 92g:01065 
Vescan, Robert T. Lecturer Dr. Robert T. Vescan (1951-1989). 92b:01076 
Wacker, Hansjérg see Engl, Heinz W., 92m:01057a and 92m:01057b 
WeierstraB, Karl see Hilbert, David, (92d:01071) 
Whitney, Hassler see Thom, René, 92a:01077 
Williams, David Anthony see Cormack, Richard 
Winkelbauer, Karel see Krutina, Miroslav, 92b:01060 
Ph.D. students of Ky Fan Ph.D. students of Ky Fan. 92m:01051c 
Recollections of L. D. Landau * Bocnomuxanua o JI. JI. Jlannay. (Russian) [Recollections of 
L. D. Landau] 92b:01079a 
Rennes * Journée Louis Antoine. (French) [Louis Antoine Conference] 92c:01054 
Statistical model * A statistical model. 92a:01079 
Steele Prizes awarded in Orono 1991 Steele Prizes awarded in Orono. 92h:01074 


Items with secondary classifications in 01A70 

Abbott, Edwin Abbott * Flatland. 92m:01092 

(Aiken, Howard H.) see Cohen, I. Bernard, 92g:01048 

(Aleksandrov, P.S.) see Tobies, R., 92j:01053 

Anderson, T. W. Trygve Haavelmo and simultaneous equation models. 924:62138 

(Arago, Francois) see Grison, Emmanuel, 92f:01025 

Atagarryev, M. A. Outstanding Central Asian 12th century scientist Abd al-Jabbar al- 
Haraki. (Russian. English summary) 92b:01013 

Aubert, Karl Egil Diofantiske likninger i norsk matematikk. Ernst S. Selmer 70 ar. 
(Norwegian. English summary) [Diophantine equations in Norwegian mathematics. 
Ernst S. Selmer is 70 years old] 92a:01049 

(Ayrton, Hertha) see Mason, Joan, 92j:01075 

(Baire, René) see Correspondence: Baire, René-Borel, Emile, 92m:01033a 

(Banchoff, Thomas) see Abbott, Edwin Abbott, 92m:01092 

Barber, Michael N. Statisticai mechanics: a perspective on the work of R. J. Baxter. 
92£:82001 

(Baxter, Rodney James) see Barber, Michael N., 92f:82001 

Bell, E.T. * The last problem. 92b:01005 

Kurt-R. Wandlungen unseres GauBbildes. [Changes in our perception of Gauss] 

92k:01016 

— Lusus ingenii im Schaffen von C. F. Gau8. [Lusus ingenii in the work of C. F. Gauss] 
92k:01017 

Birkhoff, Garrett (with Mac Lane, Saunders) A survey of modern algebra: the fiftieth 
anniversary of its publication. 92m:01035 

Bogolyubov, Aleksei Nikolaevich Robert Hooke as a teacher of mathematics. (Russian) 
92g:01027 

Borel, Armand The work of Chevalley in Lie groups and algebraic groups. 92j:01042 

(Borel, Emile) see Correspondence: Baire, René-Borel, Emile, 92m:01033a 

Borodin, Allan Juris Hartmanis: building a department—building a discipline. (see 
924:68055) 

(Brahe, Tycho) see Thoren, Victor E., (92c:01003) 

Buldygin, V.V. (with Yadrenko, M.I.) A. V. Skorokhod’s work connected with the study of 
probability distributions in infinite-dimensional spaces. (Russian. Ukrainian summary) 


HISTORY AND BIOGRAPHY 


92e:60004 

(Bush, Vannevar) see From Memex to hypertext: Vannevar Bush and the mind’s machine, 
92m:01043 

(Campbell, George) see Weeks, Dennis, 92j:01030 

(Cartan, Henri) see Serre, Jean-Pierre, 92j:32002 

(Chevalley, Claude) see Borel, Armand, 92j:01042 

Cohen, I. Bernard Howard Aiken and the beginnings of computer science. 92g:01048 

Dietsch, Ingrid Leibniz-Bibliographie 1991. [Leibniz bibliography 1991] 

(Dudley, Underwood) see Bell, E. T., 92b:01005 

(Ebeling, Werner) see Vol’kenshtein, M. V., 92a:80001 

Ehrenfest, Paul (with Ioffe, A. F.) * Hayanas nepenucxa. 1907-1933 rr. (Russian) 
[Scientific correspondence. 1907-1933] 92d:01076 

(Einstein, Albert) see Stachel, John, (92f:83003) 

(Ewing, John H.) see Paul Halmos, 92m:01044 

(Finocchiaro, Maurice A.) see Galileo affair, 92e:01035 

Fisch, Menachem * William Whewell, philosopher of science. 92i:01017 

Fomenko, A. T. * Mathematical impressions. 92f:00007 

(Frenkel’, V. Ya.) see Ehrenfest, Paul, 92d:01076 

(Galilei, Galileo) see Galileo affair, 92e:01035 

Gario, Paola Some recently discovered letters of Corrado Segre. (Italian. English summary) 
92d:01024 

(Gauss, Carl Friedrich) see Biermann, Kurt-R., 92k:01016 and 92k:01017 

(Gehring, F. W.) see Paul Halmos, 92m:01044 

(Gibbs, J. Willard) see Klein, M. J., 92d:01019 and Wightman, A. S., 92g:01045 

Gingerich, Owen Johannes Kepler. (see 92c:01003) 

(Gottwald, Siegfried) see Dictionary: Eminent mathematicians, 92e:01001 

Grison, Emmanuel Francois Arago et I’Ecole Polytechnique. [Francois Arago and the Ecole 
Polytechnique] 92f:01025 

Guergour, Y. Un mathématicien du Maghreb: Ibn Qunfudh al-Qasantini (740-809/1339- 
1406). [A mathematician of the Maghreb: Ibn Qunfudh al-Qasantini (740-809/1339- 
1406)] (see 92b:01002) 

Gut, Marie-Josephe Une lettre. [Letter to the editor] 92m:01030 

(Haavelmo, Trygve) see Anderson, T. W., 92d:62138 

(Halmos, Paul R.) see Paul Halmos, 92m:01044 

(al-Haraki, Abd al-Jabbar) see Atagarryev, M. A., 92b:01013 

Hardy, Godfrey Harold * A mathematician’s apology. 92j:01070 

(Hartmanis, Juris) see Stearns, Richard E., (92d:68055); Borodin, Allan, (92d:68055) and 
Young, Paul R., (92d:68055) 

Hattori, Akio 1991 Japan Mathematical Society Spring Prize winner Morihiko Saito, “The 
establishment and development of the theory of Hodge modules”. (Japanese) 

(Heinekamp, Albert) see Dietsch, Ingrid 

Hernandez Suarez, Victor see Morales Gonzalez, Agustin; et al., (92b:00044) 

Hofmann, Karl Heinrich Symmetrie und Homogenitat. [Symmetry and homogeneity] 
92m:01032 

Hogendijk, Jan P. Le roi-géométre al-Mu’taman ibn Hdd et son livre de la perfection (Kitab 
al-Istikmal). [The geometer-king al-Mu’taman ibn Had and his book on perfection (Kitab 
al-Istikmal)| 92c:01011 

(Hooke, Robert) see Bogolyubov, Aleksei Nikolaevich, 92g:01027 

Hérmander, Lars The first woman professor and her male colleague. 92g:01115 

(Ibn Qunfudh al-Qasantini) see Guergour, Y., (92b:01002) 

(Iitaka, Shigeru) see Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigerulitaka, Shigefumi Mori and Yujiro Kawamata 

(Ilgauds, Hans-Joachim) see Dictionary: Eminent mathematicians, 92e:01001 

Ioffe, A. F. see Ehrenfest, Paul, 92d:01076 

John, Fritz Memories of student days in Gottingen. (see 92d:00038) 

Jones, Alexander The adaptation of Babylonian methods in Greek numerical astronomy. 
92i:01006 

(Kahn, Paul) see From Memex to hypertext: Vannevar Bush and the mind’s machine, 
92m:01043 

(Kawamata, Yujiro) see Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigerulitaka, Shigefumi Mori and Yujiro Kawamata 

(Kepler, Johannes) see Gingerich, Owen, (92c:01003) 

(Khobzei, P. K.) see Kravchuk, M. F., 92c:01059 

(Klein, Felix) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

Klein, M. J. The physics of J. Willard Gibbs in his time. 924:01019 

(Kovalevskaya, S. V.) see Hormander, Lars, 92g:01115 

Kravchuk, M. F. Letters to V. I. Levitskii (1926-1931). (Russian) 92c:01059 

Kreyszig, Erwin Friedrich Riesz als Wegbereiter der Funktionalanalysis. [Frigyes Riesz as a 
pioneer of functional analysis] 92c:01033 

(Landau, Edmund) see Schappacher, Norbert, 92h:01075 

(Lehmer, D. H.) see Bell, E. T., 92b:01005 

(Leibniz, Gottfried Wilhelm) see Dietsch, Ingrid 

(Levitskii, V. 1.) see Kravchuk, M. F., 92c:01059 

Lindgren, Michael The Swedish difference engines. 92g:01041 

(Lipkin, Richard) see Fomenko, A. T., 92f:00007 

Mackey, George W. von Neumann and the early days of ergodic theory. 92a:01056 

Mac Lane, Saunders see Birkhoff, Garrett, 92m:01035 

Martel Moreno, José see Morales Gonzalez, Agustin; et al., (92b:00044) 

Mason, Joan Hertha Ayrton (1854-1923) and the admission of women to the Royal Society 
of London. 92j:01075 

(Mayer, Adolph) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

Meschkowski, Herbert * Denkweisen groBer Mathematiker. (German) [Ways of thought of 
great mathematicians] 92a:01012 

(Minkowski, Hermann) see Schwermer, Joachim, 92f:01027 

(Mittag-Leffler, Magnus Gésta) see Hérmander, Lars, 92g:01115 

Morales Gonzalez, Agustin (with Martel Moreno, José; Hernandez Suarez, Victor) On 
some contributions of Tabit ibn Qurra to mathematics. (Spanish. English summary) (see 
92b:00044) 

Morawetz, Cathleen S. The last 75 years: giants of applied mathematics. 92j:01048 





53 1992 


(Mori, Shigefumi) see Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigerulitaka, Shigefumi Mori and Yujiro Kawamata 

(Moskovchenko, N. Ya.) see Ehrenfest, Paul, 92d:01076 

(Miiller, Helga) see Vol’kenshtein, M. V., 92a:80001 

(al-Mu’taman ibn Hod, Yasuf) see Hogendijk, Jan P., 92c:01011 

(von Neumann, John) see Mackey, George W., 92a:01056 

(Nyce, James M.) see From Memex to hypertext: Vannevar Bush and the mind’s machine, 
92m:01043 

(Presburger, Mojzesz) see Zygmunt, Jan, 92i:03002 

(Remmert, Reinhold) see Serre, Jean-Pierre, 92j:32002 

(Riesz, Frigyes) see Kreyszig, Erwin, 92c:01033 

Réssler, Otto E. Publication list on chaos. (see 92m:58093) 

(Rowe, David E.) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

(Saito, Morihiko) see Hattori, Akio 

Salam, Abdus From a life of physics. 92m:01042 

Schappacher, Norbert Edmund Landau’s Gottingen: from the life and death of a great 
mathematical center. 92h:01075 

(Schlote, Karl-Heinz) see Dictionary: Eminent mathematicians, 92e:01001 

Schwermer, Joachim Raumliche Anschauung und Minima positiv definiter quadratischer 
Formen. Zur Habilitation von Hermann Minkowski 1887 in Bonn. [Spatial visualization 
and minima of positive definite quadratic forms. On the habilitation of Hermann 
Minkowski 1887 in Bonn] 92f:01027 

(Segre, Corrado) see Gario, Paola, 92d:01024 

(Selmer, Ernst S.) see Aubert, Karl Egil, 92a:01049 

Serre, Jean-Pierre Erratum: “Letters of René Baire to Emile Borel”. (French) 92m:01033b 

— Les petits cousins. [Second cousins] 92j:32002 

(Skorokhod, A. V.) see Buldygin, V. V., 92¢:60004 

(Snow, C. P.) see Hardy, Godfrey Harold, 92j:01070 

Stachel, John Einstein and quantum mechanics. (see 92f:83003) 

Stearns, Richard E. Juris Hartmanis: the beginnings of computational complexity. (see 
924:68055) 

Stinnett, Sandra (with et al.) Women in statistics: sesquicentennial activities. 92j:01076 

(Thabit ibn Qurra al-Harrant) see Morales Gonzalez, Agustin; et al., (92b:00044) 

Thoren, Victor E. Tycho Brahe. (see 92c:01003) 

Tobies, R. Contact between Soviet and German mathematicians: P. S. Aleksandrov and 
German mathematics. (Russian) 92j:01053 

— see also Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

Vol'kenshtein, M. V. * Entropie und Information. (German) [Entropy and information] 
92a:80001 

Weeks, Dennis The life and mathematics of George Campbell, F.R.S. (French and German 
summaries) 92j:01030 

Westman, Robert S. Proof, poetics, and patronage: Copernicus’s preface to De revolution- 
ibus. 92g:01025 

(Whewell, William) see Fisch, Menachem, 92i:01017 

Wightman, A.S. On the prescience of J. Willard Gibbs. 92g:01045 

Yadrenko, M.1. see Buldygin, V. V., 92e:60004 

Young, Paul R. Juris Hartmanis: fundamental contributions to isomorphism problems. (see 
924:68055) 

Zygmunt, Jan Mojzesz Presburger: life and work. 92i:03002 


Items listed otherwise than by author 
Bibliography: 
Chaos see Réssler, Otto E., (92m:58093) 
litaka, Shigeru Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigeru litaka, Shigefumi Mori and Yujiro Kawamata. (Japanese) 
Kawamata, Yujiro Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigeru litaka, Shigefumi Mori and Yujiro Kawamata. (Japanese) 
Leibniz, Gottfried Wilhelm see Dietsch, Ingrid 
Mori, Shigefumi Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigeru litaka, Shigefumi Mori and Yujiro Kawamata. (Japanese) 
Rissler, O. E. see Réssler, Otto E., (92m:58093) 
Salam, Abdus see Salam, Abdus, 92m:01042 
Biography: 
Arago, Francois see Grison, Emmanuel, 92f:01025 
Campbell, George see Weeks, Dennis, 92j:01030 
Ehrenfest, Paul see Ehrenfest, Paul, 92d:01076 
Tbn Qunfudh al-QasantinI see Guergour, Y., (92b:01002) 
loffe, A. F. see Ehrenfest, Paul, 924:01076 
John, Fritz see John, Fritz, (92d:00038) 
Salam, Abdus see Salam, Abdus, 92m:01042 
Women in statistics see Stinnett, Sandra, 92j:61076 
Birthday: 
Halmos, Paul Richard * Paul Halmos. 92m:01044 
Correspondence: 
Aleksandrov, P.S. see Tobies, R., 92j:01053 
Baire, René-Borel, Emile Lettres de René Baire a Emile Borel. [Letters of René Baire to 
Emile Borel] 92m:01033a 
Ehrenfest, Paul-Ioffe, A. F. see Ehrenfest, Paul, 924:01076 
Galilei, Galileo * The Galileo affair. 92e:01035 
Klein, Felix-Mayer, Adolph * Korrespondenz Felix Klein-Adolph Mayer. (German) 
[The correspondence of Felix Klein and Adolph Mayer] 92m:01034 
Levitskii, V. I.-Kravchuk, M.F. see Kravchuk, M. F., 92c:01059 


Eminent mathematicians * Lexikon bedeutender Mathematiker. (German) [Dictionary 
of eminent mathematicians] 92e:01001 
From Memex to hypertext: Vannevar Bush and the mind’s machine * From Memex to 
hypertext: Vannevar Bush and the mind’s machine. 92m:01043 
Galileo affair * The Galileo affair. 92e:01035 
Japan Academy prize-winning research on the classification theory of algebraic varieties by 
Shigeru litaka, Shigefumi Mori and Yujiro Kawamata Japan Academy prize-winning 


01A History of mathematics and mathematicians 


01A74 


research on the classification theory of algebraic varieties by Shigeru litaka, Shigefumi 
Mori and Yujiro Kawamata. (Japanese) 
Paul Halmos * Paul Halmos. 92m:01044 


01A72 Schools of mathematics 


Cekrlija, Boris The fifth postulate and Lobachevskii geometry in works of indigenous 
mathematicians. (Serbo-Croatian) 92d:01073 

Di Prisco, Carlos Augusto The Venezuelan School of Mathematics. (Spanish) 

Kuratowski, Kazimierz The past and the present of the Polish school of mathematics. 
92e:01070 

(Landau, Edmund) see Schappacher, Norbert, 92h:01075 

Schappacher, Norbert Edmund Landau’s Gottingen: from the life and death of a great 
mathematical center. 92h:01075 


Items with secondary classifications in 01A72 

Borodin, Allan Juris Hartmanis: building a department—building a discipline. (see 
92d:68055) 

Gaier, Dieter Uber die Entwicklung der Funktionentheorie in Deutschland von 1890 bis 
1950. [On the evolution of function theory in Germany from 1890-1950] 92b:01041 

Grattan-Guinness, Ivor * Convolutions in French mathematics, 1800-1840: from the 
calculus and mechanics to mathematical analysis and mathematical physics. Vol. I. 
92h:01032a 

— * Convolutions in French mathematics, 1800-1840: from the calculus and mechanics to 
mathematical analysis and mathematical physics. Vol. II. 92h:01032b 

— * Convolutions in French mathematics, 1800-1840: from the calculus and mechanics to 
mathematical analysis and mathematical physics. Vol. III]. 92h:01032c 

(Hartmanis, Juris) see Borodin, Allan, (92d:68055) 

(Hilbert, David) see Rowe, David E., 92b:01047 

(Klein, Felix) see Rowe, David E., 92b:01047 

Narasimhan, Raghavan The coming of age of mathematics in India. 92j:01049 

Rowe, David E. Klein, Hilbert, and the Géttingen mathematical tradition. 92b:01047 


01A73 Universities 


Devinant, A. (with Monjardet, Bernard) La filitre MASS (Mathématiques Appliquées et 
Sciences Sociales) 1973-1991. Essai de bilan. (English summary) [An overview of the 
program “Applied Mathematics and Social Sciences” at French universities (1973-1991)] 
92h:01076 

Gascoigne, John A reappraisal of the role of the universities in the Scientific Revolution. 
(see 92a:01007) 

Hineva, Stefana T. (with Tzenova, Ivana) Czech geometers at Sofia University. (Czech) 
92h:01077 

John, Fritz Memories of student days in Géttingen. (see 92d:00038) 

Korolyuk, L. G. see Kushnir, E. A., 92c:01055 

Kushnir, E. A. (with Korolyuk, L.G.) On the history of the development of mathematics at 
Chernovtsy University. (Russian) 92c:01055 

Monjardet, Bernard see Devinant, A., 92h:01076 

Ruiz Ziiitiga, Angel see Solano Méndez, Danilo, (92e:00013) 

Solano Méndez, Danilo (with Ruiz Ziiiiga, Angel) The Department of Physics and 
Mathematics: a historical sketch. (Spanish) (see 92e:00013) 

Tzenova, Ivana see Hineva, Stefana T., 92h:01077 

Urbanskii, V.M. From the history of the organization of Tavricheskoye University and its 
physics-mathematics department. (Russian) 92f:01036 

Veselov, M.G. Theoretical physics in the St. Petersburg-Leningrad University. (Russian) 


Items listed otherwise than by author 
Biography: 
John, Fritz see John, Fritz, (92d:00038) 
Graduate education in transition Graduate education in transition. 


Items with secondary classifications in 01A73 

(Hilbert, David) see Rowe, David E., 92b:01047 

(Klein, Felix) see Rowe, David E., 92b:01047 

(Leibniz, Gottfried Wilhelm) see Robinet, André, 92e:01040 

Robinet, André La conquéte de la chaire de mathématiques de Padoue par les leibniziens. 
[The Leibnizians’ conquest of the Chair of Mathematics at Padua] 92e:01040 

Rowe, David E. Klein, Hilbert, and the Géttingen mathematical tradition. 92b:01047 

Vollrath, Hans-Joachim Betrachtungen zur Entwicklung der Algebra in der Lehre. 
[Reflections on the development of algebra in teaching] 92d:01031 


Items listed otherwise than by author 

Educating mathematical scientists: doctoral study and the postdoctoral experience in the 
United States Educating mathematical scientists: doctoral study and the postdoctoral 
experience in the United States. 


01A74 Other institutions and academies 


Atiyah, Michael Francis The European Mathematical Society. (see 92d:00038) 

— Address of the president, Sir Michael Atiyah, given at the anniversary meeting on 29 
November 1991. 92m:01090 

Boardman, Thomas J. see Hahn, Gerald J.; et al. 

Botashev, A.I. see Imanaliev, M. 1., 92g:01105 

(De Metts, G.G.) see Savchuk, V. S. 

Fluharty, David see Hahn, Gerald J.; et al. 

(Gol’dman, A. G.) see Savchuk, V.S. 

Grau, Conrad Forschungskonzeption und Organisationsformen europaischer Akademien 
der Wissenschaften im 17./18. Jh. [Conception of research and forms of organization of 
European academies of science in the 17th and 18th centuries] (see 92g:01036) 

Gray, Mary W. The Association for Women in Mathematics—a personal view. 








01A74 


Hahn, Gerald J. (with Boardman, Thomas J.; Fluharty, David) History of the section on 
quality and productivity of the American Statistical Association. 

Heatherly, Henry First statistical laboratory. 92c:01056 

Hecht, Hartmut (with Hoffmann, Dieter) Die Berliner “Gesellschaft fiir wissenschaftliche 
Philosophie”. [The Berlin Society for Scientific Philosophy] 

Hegselmann, Rainer (with Siegwart,Geo) Zur Geschichte der “Erkenntnis”. [On the 
history of the journal “Erkenntnis”] 

Hirzebruch, Friedrich Centennial of the German Mathematical Society (Bremen, September 
16th-22nd, 1990). 92h:01078 

— One hundred years of the Deutsche Mathematiker-Vereinigung. 92d:01074 

Hoffmann, Dieter see Hecht, Hartmut 

Holmann, Harald Griindung der Europaischen Mathematischen Gesellschaft. [Founding of 
the European Mathematical Society] (see 92m:00034) 

Huxley, G. L. On some mathematical works in the library of the Royal Irish Academy. 
92h:01079 

Imanaliev, M. 1. (with Botashev, A. I.) Mathematical research. (Russian) 92g:01105 

Kohno, Toshitake A report on the Euler International Mathematical Institute (Leningrad). 
(Japanese) 

Mac Lane, Saunders Fifty years of Mathematical Reviews. 92c:01057 

Mason, Robert L. (with McKenzie, J. D., Jr.; Ruberg, S.J.) A brief history cf the American 
Statistical Association, 1839-1989. 92i:01032 

McKenzie, J. D., Jr. see Mason, Robert L.; et al., 92i:01032 

(Neyman, Jerzy) see Heatherly, Henry, 92c:01056 

Pelczytiski, Aleksander Some results obtained at the Institute of Mathematics of the Polish 
Academy of Sciences. (Polish) 92h:01080 

Pisarenko, G.S. Development of mechanics in the Academy of Sciences of the Ukrainian 
SSR. (Russian) 92e:01071 

Price, G. Baley The Seventy-fifth Anniversary Celebration. 92j:01068 

Remmert, Reinhold Inventiones Mathematicae: die ersten Jahre. [Inventiones Mathemati- 
cae: the first years] 92h:01081 

Ruberg, S. J. see Mason, Robert L.; et al., 92i:01032 

Savchuk, V.S. Sources of the Ukrainian Association of Physicists (from the correspondence 
of A. G. Gol‘dman and G. G. De Metts). (Russian) 

Scimone, Aldo The Mathematical Circle of Catania. (Italian) 92a:01080 

Scriba, Christoph J. Die Kunst-Rechnungs-liebende Societat in Hamburg (gegr. 1690) und 
die Deutsche Akademie der Naturforscher Leopoldina (gegr. 1652): Gemeinsamkeiten 
und Unterschiede bei der Férderung der Wissenschaften seit dem 17. Jahrhundert. 
[The Arithmetical Society in Hamburg (founded in 1690) and the German Academy 
of Scientists Leopoldina (founded in 1652): common interests and differences in the 
promotion of the sciences since the 17th century] 92m:01091 

Shaker, Richard J. The agency that came in from the cold. 

Siegwart, Geo see Hegselmann, Rainer 

Tebies, R. Warum wurde die Deutsche Mathematiker-Vereinigung innerhalb der 
Gesellschaft deutscher Naturforscher und Arzte gegriindet? Mathematiker-Briefe zur 
Griindungsgeschichte der DMV. [Why was the Union of German Mathematicians 
founded within the Society of German Scientists and Physicians? Mathematicians’ letters 
on the history of the foundation of the DMV] 92d:01075 

Vershik, A.M. On the Leningrad Mathematical Society. (Russian) 92e:01072 

Zhvaniya, K. A. * JlestenbHoctTb HHCTHTYTAa B 1989 rogy. (Russian) [The activity of the 
Institute in 1989] 92f:01037 


Items with secondary classifications in 01A74 

(Arago, Francois) see Grison, Emmanuel, 92f:01025 

(Ayrton, Hertha) see Mason, Joan, 92j:01075 

Grison, Emmanuel Francois Arago et l’Ecole Polytechnique. [Francois Arago and the Ecole 
Polytechnique] 92f:01025 

(Jiang, Li Fu) see Liu, Jie Min 

(Khobzei, P. K.) see Kravchuk, M. F., 92c:01059 

Kravchuk, M. F. Letters to V. I. Levitskii (1926-1931). (Russian) 92c:01059 

(Levitskii, V.1.) see Kravchuk, M. F., 92c:01059 

Liu, Jie Min Professor Li Fu Jiang and the Institute of Mathematics of Academia Sinica. 
(Chinese) 

Mason, Joan Hertha Ayrton (1854-1923) and the admission of women to the Royal Society 
of London. 92j:01075 

(Neumann, Franz Ernst) see Trunschke, Andreas, 92a:01046 

Trunschke, Andreas Der K6nigsberger Physiker Franz Ernst Neumann (1798-1895) und 
die PreuBische Akademie der Wissenschaften zu Berlin. [The K6nigsberg physicist Franz 
Ernst Neumann (1798-1895) and the Prussian Academy of Sciences in Berlin] 92a:01046 


Items listed otherwise than by author 
Biography: 

Arago, Francois see Grison, Emmanuel, 92f:01025 
Correspondence: 

Levitskii, V. 1.-Kravchuk, M. F. see Kravchuk, M. F., 92c:01059 


01A75 Collected or selected works; reprintings or translations of 
classics [see also 00B60] 


Abbott, Edwin Abbott * Flatland. 92m:01092 

(Akchurin, I. A.) see Heisenberg, Werner Karl, 92a:01082 

(Akhutin, A. V.) see Heisenberg, Werner Karl, 92a:01082 and Weyl, Hermann, 92e:01081 

(Aleksandrov, P.S.) see Kolmogorov, A. N., 92j:01071 

Ambartsumyan, V. A. * Hayunpie tpyai. Tom 3. (Russian) [Scientific works. Vol. 3] 
92k:01045 

(Andreev, E. P.) see Heisenberg, Werner Karl, 92a:01082 

(Angelelli, Ignacio) see Frege, Gottlob, 92f:01038 

(Ariew, Roger) see Leibniz, Gottfried Wilhelm, 92d:01079 and 92j:01072 

(Arnold, V.1.) see Klein, Felix, 924:01077 

(Banchoff, Thomas) see Abbott, Edwin Abbott, 92m:01092 


HISTORY AND BIOGRAPHY 


1992 


(Bateman, P.T.) see Landau, Edmund, 92b:01082c; 92b:01082d; 92b:01082e; 92b:01082f,; 
92b:01082g; 92b:01082h and 92b:01082i 

(Beck, Anna) see Einstein, Albert, 92e:01077 

(Bednarek, A. R.) see Ulam, Stanislaw Marcin, 92i:01033 

(Berezin, A. V.) see Rabotnov, Yu. N., 92j:01073 

(Bernays, Paul) see Hilbert, David, 92a:01083 

Berndt, Bruce C. * Ramanujan’s notebooks. Part III. 92j:01069 

(Bers, Lipman) see Loewner, Charles, 92c:01060 

Beurling, Arne * The collected works of Arne Beurling. Vol. 1. 92k:01046a 

— * The collected works of Arne Beurling. Vol. 2. 92k:01046b 

(Bialas, Volker) see Kepler, Johannes, 92k:01047 

(Bibikhin, V. V.) see Heisenberg, Werner Karl, 92a:01082 

(Biryukov, B. V.) see Weyl, Hermann, 92¢:01081 

(Blanc, Charles) see Euler, Leonhard, 92g:01107 

Bochner, Salomon * Collected papers. Part 1. 92m:01093a 

— * Collected papers. Part 2. 92m:01093b 

— * Collected papers. Part 3. 92m:01093c 

— * Collected papers. Part 4. 92m:01093d 

Bogolyubov, N. N. * Selected works. Part I. 92e:01073 

— * Selected works. Part II. 92¢:01074 

(Bogolyubov, N. N., Jr.) see Bogolyubov, N. N., 92e:01073 and 92e:01074 

Bolzano, Bernard * Bernard Bolzano—Gesamtausgabe. Reihe I. Schriften. Band 16. Teil 
1.(German) [Bernard Bolzano—Collected Works. Series I. Writings. Vol. 16. Part 1] 
92e:01075a 

— * Bernard Bolzano—Gesamtausgabe. Reihe I. Schriften. Band 16. Teil 2. (German) 
[Bernard Bolzano—Collected Works. Series I. Writings. Vol. 16. Part 2] 92¢e:01075b 

— * Bernard Bolzano—Gesamtausgabe. Reihe II. Nachlass B. Wissenschaftliche 
Tagebiicher. Band 4. Teil 1. (German) [Bernard Bolzano—Collected works. Series II. 
Nachlass B. Scientific diaries. Vol. 4. Part 1] 92¢:01076 

— * Las paradojas del infinito. (Spanish) [Paradoxes of the infinite] 92g:01106 

(Boockmann, Friederike) see Kepler, Johannes, 92k:01047 

Bichi, J. Richard * The collected works of J. Richard Biichi. 92b:01080 

(Busche, Jiirgen) see Heisenberg, Werner Karl, 92a:01081 

(Butzer, P. L.) see Landau, Edmund, 92b:01082c 

(Carleson, Lennart) see Beurling, Arne, 92k:01046a and 92k:01046b 

Chaitin, G. J. * Information, randomness & incompleteness. 92m:01094 

Chandrasekhar, Subrahmanyan * Selected papers. Vol. 1. 92h:01082a 

— * Selected papers. Vol. 2. 92h:01082b 

— * Selected papers. Vol. 3. 92h:01082c 

— * Selected papers. Vol. 4. 92h:01082d 

— * Selected papers. Vol. 5. 92h:01082e 

— * Selected papers. Vol. 6. 92h:01082f 

(Chandrasekharan, K.) see Selberg, Atle, 92h:¢1083 

(Clarke, Samuel) see Leibniz-Clarke correspondence 

(Cleveland, William S.) see Tukey, John W., 92a:01086 

(Corneil, D.G.) see Seidel, J. J., 92m:01098 

(Dabrowska, Dorota M.) see Neyman, Jerzy, 92g:01112 

(Danilov, Yu. A.) see Weyl, Hermann, 92e:01081 

(Darnell, Adrian C.) see Hotelling, Harold, 92a:01084 

(Dellian, Ed) see Newton, Isaac, 92e:01079 

Dirac, Paul Adrien Maurice * K co3zaHHt0 KBaHTOBON TeopHH Noms. (Russian) [On the 
development of quantum field theory] 92m:01095 

— * Bocnomunanna 0 Heo6pruahHot anoxe. (Russian) [Recollections of an exciting era] 
92m:01096 

Ehrenfest, Paul (with loffe, A. F.) * HayyHas nepenucxa. 1907-1933 rr. (Russian) 
[Scientific correspondence. 1907-1933] 92d:01076 

Einstein, Albert * The collected papers of Albert Einstein. Vol. 2.(German) 92e:01077 

(Ermilov, A. N.) see Bogolyubov, N. N., 92e:01073 and 92¢:01074 

Euler, Leonhard * Sol et luna. II. 92g:01107 

(Filonovich, S. R.) see Newton, Isaac, 92a:01085 

de Finetti, Bruno On the elementary justification of the “normal law” of probability theory. 
(Italian) 92c:01058 

Frege, Gottlob * Kleine Schriften. (German) [Shorter writings] 92f:01038 

— * Die Grundlagen der Arithmetik. (German) [The foundations of arithmetic] 92f:01039 

(Frenkel’, V. Ya.) see Ehrenfest, Paul, 92d:01076 

(Frolov, K. V.) see Rabotnov, Yu. N., 92j:01073 

(Gabriel, Gottfried) see Lotze, Rudolf Hermann, 92d:01080a and 924:01080b 

Galiani, Celestino (with Grandi, Guido) * Carteggio (1714-1729). (Italian) [Correspon- 
dence (1714-1729)] 92f:01040 

(Garber, Daniel) see Leibniz, Gottfried Wilhelm, 92d:01079 and 92j:01072 

Glushkov, V. M. * Ku6epHetuka, BbruvcaMTeIbHad TeXHHKa, HHOpMaTuka. U3s6panHpie 
Tpyibl B Tpex ToMax. Tom |. (Russian) [Cybernetics, computer science, information 
science. Selected works in three volumes. Vol. 1] 92g:01108a 

— * KuGepnetuka, BbIuHCIMTebHaA TexHHKa, HHopMaTuKa. A36panHbie Tpyfbl B Tpex 
Tomax. Tom 2. (Russian) [Cybernetics, computer science, information science. Selected 
works in three volumes. Vol. 2] 92g:01108b 

— *& KuGepuetuka, BbIuHCIHTeNbHaA TexHHKa, HHO 


wer 


Tuka. A36p 1€ TpyAbl B Tpex 
Tomax. Tom 3. (Russian) [Cybernetics, computer science, information science. Selected 
works in three volumes. Vol. 3] 92g:01108c 

(Gorodentsev, A. L.) see Klein, Felix, 92d:01077 

Grandi, Guido see Galiani, Celestino, 92f:01040 

(Gunning, Robert C.) see Bochner, Salomon, 92m:01093a; 92m:01093b; 92m:01093c and 
92m:01093d 

(Hajian, Arshag) see Kakutani, Shizuo, 92g:01109a 

Hardy, Godfrey Harold * A mathematician’s apology. 92j:01070 

— see also Landau, Edmund, 92b:01082a 

(Harman, P.M.) see Maxwell, James Clerk, 92b:01083 

(Heilbronn, H.) see Landau, Edmund, 92b:01082a 

(Heise, Werner) see Landau, Edmund, 92b:01082c 








55 1992 


Heisenberg, Werner Karl * Quantentheorie und Philosophie. (German) [Quantum theory 
and philosophy] 92a:01081 

— ® Ou3uKa u dbunocopus. Yacts u wenoe. (Russian) [Physics and philosophy. Part and 
whole] 92a:01082 

(Hendry, Barbara) see Ulam, Stanistaw Marcin, 92i:01033 

Hilbert, David * Grundlagen der Geometrie. (German) [Foundations of geometry] 
92a:01083 

— (with Schmidt, Erhard) * Integralgleichungen und Gleichungen mit unendlich vielen 
Unbekannten. (German) [Integral equations and equations with infinitely many 
unknowns] 92b:01081 

— see also Minkowski, Hermann, 92d:01081 

(Hochstetter, Erich) see Leibniz, Gottfried Wilhelm, 92e:01078b 

Hofmann, Joseph Ehrenfried * Ausgewahlte Schriften. Band I. (German) [Selected 
writings. Vol. I] 92f:01041a 

— * Ausgewahite Schriften. Band II. (German) [Selected writings. Vol. II] 92f:01041b 

Hotelling, Harold * The collected economics articles of Harold Hotelling. 92a:01084 

Ioffe, A. F. see Ehrenfest, Paul, 92d:01076 

(Israel, Giorgio) see Volterra, Vito, 92g:01114 

(Ito, Yuji) see Kakutani, Shizuo, 92g:01109a 

(Jager, Gerhard) see Specker, Ernst, 92g:01110 

Kakutani, Shizuo * Selected papers. Vol. 1. 92g:01109a 

— * Selected papers. Vol. 2. 92g:01109b 

(Kallman, Robert R.) see Kakutani, Shizuo, 92g:01109a and 92g:01109b 

(Kapitonova, Yu. V.) see Glushkov, V. M., 92g:01108a and 92g:01108b 

(Karamatsu, Yoshikazu) see Morishima, Taro, 92m:01097 

Kepler, Johannes * Gesammelte Werke. Band XX, 1. (Latin) [Collected works. Vol. XX, 1] 
92k:01047 

(Khobzei, P. K.) see Kravchuk, M. F., 92c:01059 

(Kirillov, A. A.) see Klein, Felix, 92d:01077 

Klein, Felix * Jlexqun 06 uxocasgpe # pelleHHH ypaBHeHHl nsaTou crenenu. (Russian) 
[Lectures on the icosahedron, and solutions of equations of the fifth degree] 92d:01077 

(Knopp, Konrad) see Landau, Edmund, 92b:01082b 

Kolmogorov, A. N. * Selected works. Vol. II. 92j:01071 

(Kozhevnikov, A. B.) see Dirac, Paul Adrien Maurice, 92m:01095 

(Kratzel, Ekkehard) see Minkowski, Hermann, 92d:01081 

Kravchuk, M. F. Letters to V. I. Levitskii (1926-1931). (Russian) 92c:01059 

(Krylov, A. N.) see Newton, Isaac, 92a:01085 

(Kurbatov, A. M.) see Bogolyubov, N. N., 92e:01073 and 92e:01074 

Landau, Edmund * Collected works. Vol. 1.(German) 92b:01082a 

— * Collected works. Vol. 2.(German) $2b:01082b 

— * Collected works. Vol. 3.(German) 92b:01082c 

— * Collected works. Vol. 4.(German) 92b:01082d 

— * Collected works. Vol. 5.(German) 92b:01082e 

— * Collected works. Vol. 6.(German) 92b:01082f 

— * Collected works. Vol. 7.(German) 92b:01082g 

— * Collected works. Vol. 8.(German) 92b:01082h 

— * Collected works. Vol. 9.(German) 92b:01082i 

(Lauchli, Hans) see Specker, Ernst, 92g:01110 

(Laugwitz, Detlef) see Landau, Edmund, 92b:01082c 

Lavrent'ev, M. A. * M36panupie Tpyabi. MatemaTuka # MexaHuka. (Russian) [Selected 
works. Mathematics and mechanics] 924:01078 

(Lebovitz, Norman R.) see Chandrasekhar, Subrahmanyan, 92h:01082c and 92h:01082d 

Leibniz, Gottfried Wilhelm * Philosophical essays. 92d:01079 

— * Samtliche Schriften und Briefe. Reihe VI. (German) [Collected works and letters. 
Series VI] 92¢:01078a 

— * Samtliche Schriften und Briefe. Reihe VI. (German) [Collected works and letters. 
Series VI] 92e:01078b 

— * Discourse on metaphysics and other essays. 92j:01072 

— see also Leibniz-Clarke co 

(Levitskii, V. 1.) see Kravchuk, M. F., 92c:01059 

(Lindquist, G.) see Kolmogorov, A. N., 92j:01071 

Loewner, Charles * Collected papers. 92c:01060 

Lotze, Rudolf Hermann * Logik. Erstes Buch: vom Denken (Reine Logik). (German) 
[Logic. First book: on thinking (pure logic)] 92d:01080a 

— * Logik. Drittes Buch: vom Erkennen (Methodologie). (German) (Logic. Third book: on 
cognition (methodology)] 92d4:01080b 

(Louiil, Jaromir) see Bolzano, Bernard, 92e:01075a and 92e:01075b 

(van der Lugt, Anna) see Bolzano, Bernard, 92e:01076 

(Mac Lane, Saunders) see Bichi, J. Richard, 92b:01080 

(Makhutov, N. A.) see Rabotnov, Yu. N., 92j:01073 

(Malliavin, Paul) see Beurling, Arne, 92k:01046a and 92k:01046b 

(Mallows, Colin L.) see Tukey, John W., 92a:01086 

(Mathon, Rudolf A.) see Seidel, J. J., 92m:01098 

Maxwell, James Clerk * The scientific letters and papers of James Clerk Maxwell. Vol. I. 
92b:01083 

(Medvedev, B. V.) see Dirac, Paul Adrien Maurice, 92m:01095 

(Meon, Jonas) see Specker, Ernst, 92g:01110 

(Mikhalevich, V.S.) see Glushkov, V. M., 92g:01108a; 92g:01108b and 92g:01108c 

Minkowski, Hermann * Ausgewahlte Arbeiten zur Zahlentheorie und zur Geometrie. 
(German) [Selected papers on number theory and geometry] 92d:01081 

(Mirsky, L.) see Landau, Edmund, 92b:01082a; 92b:01082b; 92b:01082c; 92b:01082d; 
92b:01082e; 92b:01082f; 92b:01082g; 92b:01082h and 92b:01082i 

(Montgomery, Hugh L.) see Landau, Edmund, 92b:01082c; 92b:01082d; 92b:01082e; 
92b:01082f; 92b:01082g; 92b:01082h and 92b:01082i 

Morishima, Taro * Collected papers. 92m:01097 

(Moskovchenko, N. Ya.) see Ehrenfest, Paul, 92d:01076 

(Mosteller, Frederick) see Tukey, John W., 92a:01086 

(Mullikin, T. W.) see Chandrasekhar, Subrahmanyan, 92h:01082b 

Mushtari, Kh. M. * Henuneftuas Teopns o6ono4ex. (Russian) [Nonlinear theory of shells] 
92£:01042 


01A History of mathematics and mathematicians 


Napier, John * Rabdology. 92f:01043 

(Neuberger, John W.) see Beurling, Arne, 92k:01046a and 92k:01046b 

Newton, Isaac * Mathematische Grundlagen der Naturphilosophie. (German) [Mathemati- 
cal principles of natural philosophy] 92e:01079 

— *® Matematuueckne Havana HaTypambHon unocodun. (Russian) [Principia] 92a:01085 

Neyman, Jerzy On the application of probability theory to agricultural experiments. Essay 
on principles. Section 9. 92g:01112 

— see also Speed, T. P., 92g:01111 and Rubin, Donald B., 92g:01113 

(Obraztsov, I. F.) see Mushtari, Kh. M., 92£:01042 

(Ogg, Alexander) see Planck, Max, 92b:01084 

(Palladino, Franco) see Galiani, Celestino, 92f:01040 

Pareto, Vilfredo * Statistique et économie mathématique. (French) [Statistics and 
mathematical economics] 92d:01082 

(Parshin, A. N.) see Weyl, Hermann, 92e:01081 

(Pavlov, V. P.) see Dirac, Paul Adrien Maurice, 92m:01095 

(Pfister, Albrecht) see Landau, Edmund, 92b:01082c 

(Pietsch, Albrecht) see Hilbert, David, 92b:01081 

Planck, Max * Treatise on thermodynamics. 92b:01084 

(Polak, 1. S.) see Newton, Isaac, 92a:01085 

(Polivanov, M. K.) see Dirac, Paul Adrien Maurice, 92m:01095 

(Ptihonsky, Fr.) see Bolzano, Bernard, 92g:01106 

Rabotnov, Yu. N. * M36panusie Tpyasi. Mpo61embi MexaHHKH JesbopMupyemoro TBepzoro 
Tena. (Russian) [Selected works. Problems of mechanics of deformable solids] 92j:01073 

(Ramanujan, Srinivasa) see Berndt, Bruce C., 92j:01069 

Ramsey, F. P. Weight or the value of knowledge. 92¢:01080 

(Richardson, William Frank) see Napier, John, 92f:01043 

{Rider, Robin E.) see Napier, John, 92f:01043 

(van Rootselaar, Bob) see Bolzano, Bernard, 92e:01076 

(Roy, René) see Pareto, Vilfredo, 924:01082 

Rubin, Donald B. Comment on J. Neyman and causal inference in experiments and observa- 
tional studies: “On the application of probability theory to agricultural experiments. Essay 
on principles. Section 9” [Ann. Agric. Sci. 10 (1923), 1-51]. 92g:01113 

(Sahlin, Nils-Eric) see Ramsey, F. P., 92e:01080 

(Scarpellini, Bruno) see Specker, Ernst, 92g:01110 

(Schaal, W.) see Landau, Edmund, 92b:01082c; 92b:01082d; 92b:01082e; 92b:01082f; 
92b:01082g; 92b:01082h and 92b:01082i 

(Schepers, Heinrich) see Leibniz, Gottfried Wilhelm, 92¢:01078b 

Schmidt, Erhard see Hilbert, David, 92b:01081 

(Schoenberg, I. J.) see Landau, Edmund, 92b:01082a; 92b:01082b; 92b:01082c; 92b:01082d; 
92b:01082e; 92b:01082f; 92b:01082g; 92b:01082h and 92b:01082i 

(Schiller, Volkmar) see Leibniz-Clarke correspondence 

(Schwarz, Wolfgang Karl) see Landau, Edmund, 92b:01082a; 92b:01082b; 92b:01082c; 
92b:01082d; 92b:01082e; 92b:01082f; 92b:01082g; 92b:01082h and 92b:01082i 

(Scriba, Christoph J.) see Hofmann, Joseph Ehrenfried, 92f:01041a 

(Sebestik, Jan) see Bolzano, Bernard, 92g:01106 

(Segura, Luis Felipe) see Bolzano, Bernard, 92g:01106 

Seidel, J. J. * Geometry and combinatorics. 92m:01098 

Selberg, Atle * Collected papers. Vol. I. 92h:01083 

(Serre, Jean-Pierre) see Klein, Felix, 92d:01077 

(Shelest, V. P.) see Dirac, Paul Adrien Maurice, 92m:01095 

(Shiryaev, A. N.) see Kolmogorov, A. N., 92j:01071 

(Shumovskii, A.S.) see Bogolyubov, N. N., 92e:01074 

(Siefkes, Dirk) see Bichi, J. Richard, 92b:01080 

(Simonutti, Luisa) see Galiani, Celestino, 92f:01040 

(Smorodinskaya, N. Ya.) see Dirac, Paul Adrien Maurice, 92m:01096 

(Smorodinskii, Ya. A.) see Dirac, Paul Adrien Maurice, 92m:01096 

(Snow, C. P.) see Hardy, Godfrey Harold, 92j:01070 

(Sobolev, Viktor Viktorovich) see Ambartsumyan, V. A., 92k:01045 

Specker, Ernst * Selecta. 92g:01110 

Speed, T. P. Introductory remarks on J. Neyman: “On the application of probability theory 
to agricultural experiments. Essay on principles. Section 9” [Ann. Agric. Sci. 10 (1923), 1- 
51). 92g:01111 

— see also Neyman, Jerzy, 92g:01112 

(Stachel, John) see Einstein, Albert, 92e:01077 

(Stark, E.L.) see Landau, Edmund, 92b:01082c 

(Strassen, Volker) see Specker, Ernst, 92g:01110 

(Thorne, Kip S.) see Chandrasekhar, Subrahmanyan, 92h:01082e 

(Torrini, Maurizio) see Galiani, Celestino, 92f:01040 

Tukey, John W. * The collected works of John W. Tukey. Vol. VI. 92a:01086 

(Tyurin, A. N.) see Klein, Felix, 92d:01077 

(Ulam, Francoise) see Ulam, Stanislaw Marcin, 92i:01033 

Ulam, Stanislaw Marcin * Analogies between analogies. 92i:01033 

(Vasilevich, A. P.) see Weyl, Hermann, 92e:01081 

Volterra, Vito On attempts to apply mathematics to the biological and social sciences. 
(Italian) 92g:01114 

Wang, Hao! * Computation, logic, philosophy. 92j:01074 

(Wefelscheid, Heinrich) see Landau, Edmund, 92b:01082a; 92b:01082b; 92b:01082c; 
92b:01082d; 92b:01082e; 92b:01082f, 92b:01082g; 92b:01082h and 92b:01082i 

(WeiBbach, Bernulf) see Minkowski, Hermann, 92d:01081 

(Wermer, John) see Beurling, Arne, 92k:01046a and 92k:01046b 

Weyl, Hermann * Symmetry. 92b:01085 

— *& Matematuueckoe Mpmmuienue. (Russian) [Mathematical thought] 92¢e:01081 

(Xanthopoulos, Basilis C.) see Chandrasekhar, Subrahmanyan, 92h:01082f 


Items listed otherwise than by author 
Bibliography: 
Bochner, Salomon see Bochner, Salomon, 92m:01093a; 92m:01093b; 92m:01093c and 
92m:01093d 
Biichi, J. Richard see Biichi, J. Richard, 92b:01080 
Chandrasekhar, S. see Chandrasekhar, Subrahmanyan, 92h:01082f 








01A75 


Bibliography: (cont’d. ) 
Frege, Gottlob see Frege, Gottlob, 92f:01038 
Glushkov, V. M. see Glushkov, V. M., 92g:01108c 
Hofmann, Joseph Ehrenfried see Hofmann, Joseph Ehrenfried, 92f:01041a 
Hotelling, Harold see Hotelling, Harold, 92a:01084 
Kakutani, Shizuo see Kakutani, Shizuo, 92g:01109a 
Landau, Edmend see Landau, Edmund, 92b:01082a and 92b:01082b 
Lavrent’ev, M. A. see Lavrent'ev, M. A., 92d:01078 
Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 924:01079 
Loewner, Charles see Loewner, Charles, 92c:01060 
Morishima, Taro see Morishima, Taro, 92m:01097 
Mushtari, Kh. M. see Mushtari, Kh. M., 92f:01042 
Seidel, Johan Jacob see Seidel, J. J., 92m:01098 
Specker, Ernst P. see Specker, Ernst, 92g:01110 
Tukey, John W. see Tukey, John W., 92a:01086 
Ulam, S. M. see Ulam, Stanislaw Marcin, 92i:01033 
Biography: 
Bichi, J. Richard see Biichi, J. Richard, 92b:01080 
Dirac, Paul Adrien Maurice see Dirac, Paul Adrien Maurice, 92m:01096 
Ehrenfest, Paul see Ehrenfest, Paul, 92d:01076 
Glushkov, V. M. see Glushkov, V. M., 92g:01108a 
Hotelling, Harold see Hotelling, Harold, 92a:01084 
loffe, A. F. see Ehrenfest, Paul, 92d:01076 
Kakutani, Shizuo see Kakutani, Shizuo, 92g:01109a 
Kolmogorov, A. N. see Kolmogorov, A. N., 92j:01071 
Landau, Edmund see Landau, Edmund, 92b:01082a and 92b:01082b 
Lavrent'ev, M. A. see Lavrent'ev, M. A., 924:01078 
Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 924:01079 
Leibniz, Gottfried Wilhelm see Leibniz, Gottfried Wilhelm, 92j:01072 
Maxwell, James Clerk see Maxwell, James Clerk, 92b:01083 
Morishima, Taro see Morishima, Taro, 92m:01097 
Mushtari, Kh. M. see Mushtari, Kh. M., 92f:01042 
Napier, John see Napier, John, 92f:01043 
Seidel, Johan Jacob see Seidel, J. J., 92m:01098 
Specker, Ernst P. see Specker, Ernst, 92g:01110 
Tukey, John W. see Tukey, John W., 92a:01086 
Weyl, Hermann see Weyl, Hermann, 92¢:01081 
Collected Works: 
Beurling, Arne see Beurling, Arne, 92k:01046a and 92k:01046b 
Bolzano, Bernard see Bolzano, Bernard, 92e:01076 
Einstein, Albert see Einstein, Albert, 92e:01077 
Kepler, Johannes see Kepler, Johannes, 92k:01047 
Leibniz, Gottfried Wilhelm see Leibniz, Gottfried Wilhelm, 92e:01078a and 92e:01078b 
Loewner, Charles see Loewner, Charles, 92c:01060 
Tukey, John W. see Tukey, John W., 92a:01086 
Correspondence: 
Ehrenfest, Paul-loffe, A. F. see Ehrenfest, Paul, 92d:01076 
Galiani, Celestino—Grandi, Guido see Galiani, Celestino, 92f:01040 
Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 924:01079 
Leibniz, Gottfried Wilhelm—Clarke, Samuel * Der Leibniz-Clarke Briefwechsel. 
(German) [The Leibniz-Clarke correspondence] 
Levitskii, V. 1.—Kravchuk, M. F. see Kravchuk, M. F., 92c:01059 
Maxwell, James Clerk see Maxwell, James Clerk, 92b:01083 
Essays: 
Leibniz, G. W. see Leibniz, Gottfried Wilhelm, 92d:01079 
Leibniz-Clarke Briefwechsel * Der Leibniz-Clarke Briefwechsel. (German) [The Leibniz- 
Clarke correspondence] 
Leibniz-Clarke correspondence * Der Leibniz-Clarke Briefwechsel. (German) [The Leibniz- 
Clarke correspondence] 
Recollections of an exciting era see Dirac, Paul Adrien Maurice, 92m:01096 


Items with secondary classifications in 01A75 

(Apuleius) see Londey, David, 92¢e:01015 

(Asimov, M.S.) see Ibn Sina, Aba ‘Al al-Husayn ibn ‘Abdallah, 92a:01021 

(Barut, A.O.) see de Broglie, Louis, 92d:81001 

(Bogart, Kenneth P.) see Dilworth, Robert Palmer, 92f:01002 

de Broglie, Louis * Heisenberg’s uncertainties and the probabilistic interpretation of wave 
mechanics. 92d:81001 

Clarke, Samuel * Der Briefwechsel mit G. W. Leibniz von 1715/1716. (German) [The 
correspondence with G. W. Leibniz from 1715/1716] 92a:01032 

Copernicus, Nicolaus * Das neue Weltbild. (German) [The new world picture] 92c:01017 

Dedekind, R. Analytische Untersuchungen zu Bernhard Riemann’s Abhandlungen Uber 
die Hypothesen, welche der Geometrie zu Grunde liegen. [Analytical investigations on 
Bernhard Riemann’s treatise On the hypotheses which are the foundation of geometry} 
92i:01022 

(Dellian, Ed) see Clarke, Samuel, 92a:01032 

Descartes, René * Die Welt oder Abhandlung iiber das Licht. (German) [The world, or 
Treatise on light] 92c:01018 

Dilworth, Robert Palmer * The Dilworth theorems. 92f:01002 

(Dinorshoev, M.) see Ibn Sina, Abd ‘All al-Husayn ibn ‘Abdallah, 92a:01021 

(Fedoseev, P. N.) see Ibn Sina, Aba ‘Ali al-Husayn ibn ‘Abdallah, 92a:01021 

de Finetti, Bruno * Theory of probability. Vol. 1. 92b:60009a 

— * Theory of probability. Vol. 2. 92b:60009b 

(Freese, Ralph S.) see Dilworth, Robert Palmer, 92f:01002 

Friedman, Bernard * Principles and techniques of applied mathematics. 92a:00004 

Galois, Evariste Discussion on the progress of pure analysis. (Spanish) 92m:01029 

Gardner, Martin * Fractal music, hypercards and more.... 92m:00005 

(Ginisti, Jean-Pierre) see Schénfinkel, M., 92f:03013 

Goldstein, Bernard R. * Theory and observation in ancient and medieval astronomy. 
92a:01016 


HISTORY AND BIOGRAPHY 


1992 56 


Tbn Sina, Aba ‘All al-Husayn ibn ‘Abdallah * M36pannpie dbunocodcKue npousBezeHHA. 
(Russian) [Selected philosophical works] 92a:01021 

(Jacquette, Dale) see Presburger, Mojzesz, 92i:03003 

Johanson, Carmen see Londey, David, 92e:01015 

Kolmogorov, A. N. The concepts of value and number. (Russian) 92g:01051a 

(Kung, Joseph P.S.) see Dilworth, Robert Palmer, 92f:01002 

(Leibniz, Gottfried Wilhelm) see Clarke, Samuel, 92a:01032 

(Lindley, Dennis V.) see de Finetti, Bruno, 92b:60009a and 92b:60009b 

(Lochak, Georges) see de Broglie, Louis, 92d:81001 

Londey, David (with Johanson, Carmen) * The logic of Apuleius. 92¢:01015 

(Machi, Antonio) see de Finetti, Bruno, 92b:60009a and 92b:60009b 

(McFaden, Harold H.) see Sobolev, Sergei L'vovich, 92e:46067 

(van der Merwe, Alwyn) see de Broglie, Louis, 92d:81001 

(Minkowski, Hermann) see Schwermer, Joachim, 92f:01027 

Montanny Fillat, M. (with Nunez Espallargas, J. M.; Servat Susagne, J.) The didactic 
component of mathematical memoirs of the Royal Academy of Science and Art of 
Barcelona in the nineteenth century. (Spanish. English summary) (see 92m:00053) 

Niifiez Espallargas, J. M. see Montanuy Fillat, M.; et al., (92m:00053) 

(Palamodov, V. P.) see Sobolev, Sergei L’vovich, 92¢:46067 

Pélya, George * How to solve it. 92a:00027 

Presburger, Mojzesz On the completeness of a certain system of arithmetic of whole 
numbers in which addition occurs as the only operation. 92i:03003 

Quine, Willard Van Orman * Pursuit of truth. 92c:01012 

(Rheticus, G. J.) see Copernicus, Nicolaus, 92c:01017 

(Riemann, Georg Friedrich Bernhard) see Dedekind, R., 92i:01022 

Schinfinkel, M. Sur les éléments de construction de la logique mathématique. (English 
summary) [On the building blocks of mathematical logic] 92f:03013 

Schwermer, Joachim Raumliche Anschauung und Minima positiv definiter quadratischer 
Formen. Zur Habilitation von Hermann Minkowski 1887 in Bonn. [Spatial visualization 
and minima of positive definite quadratic forms. On the habilitation of Hermann 
Minkowski 1887 in Bonn] 92f:01027 

Servat Susagne, J. see Montanuy Fillat, M.; et al., (92m:00053) 

(Smith, Adrian F. M.) see de Finetti, Bruno, 92b:60009a and 92b:60009b 

Sobolev, Sergei L'vovich * Some applications of functional analysis in mathematical 
physics. 92¢:46067 

(Tripp, G. Matthias) see Descartes, René, 92c:01018 

(Vandevelde, Genevieve) see Schinfinkel, M., 92f:03013 

(Zekl, Hans Ginter) see Copernicus, Nicolaus, 92c:01017 





Items listed otherwise than by author 
Abstracts: 
Lectures presented at the Statistics Seminar, MIT Abstracts of lectures presented at the 
Statistics Seminar, MIT, 1942-1943. 
Bibliography: 
de Broglie, Louis V. see de Broglie, Louis, 92d:81001 
Biography: 
Ibn Sina, Abo ‘Alt al-Husayn ibn ‘Abdallah see Ibn Sina, Abd ‘All al-Husayn ibn 
‘Abdallah, 92a:01021 
Correspondence: 
Clarke, Samuel-Leibniz, G. W. see Clarke, Samuel, 92a:01032 


01A80 Sociology (and profession) of mathematics 


(Ayrton, Hertha) see Mason, Joan, 92j:01075 

Eckmann, Beno Von der Studierstube in die Offentlichkeit. Wissenschaftliches Publizieren 
aus der Sicht des Mathematikers als Forscher, Autor und Herausgeber. [From the study to 
the public. Scientific publishing from the viewpoint of the mathematician as researcher, 
author and publisher] (see 92d:00038) 

(Egorov, D. F.) see Ford, Charles E., 92c:01061 

Fang, Joong A “racistic” history of sorts. 

Ford, Charles E. Dmitrii Egorov: mathematics and religion in Moscow. 92c:01061 

Hilton, Peter J. The mathematical component of a good education. (see 92d:00038) 

Hoérmander, Lars The first woman professor and her male colleague. 92g:01115 

Jahnke, Hans Niels * Mathematik und Bildung in der Humboldtschen Reform. (German) 
[Mathematics and education in Humboldt’s reform] 92h:01084 

(Kneser, Martin) see Schappacher, Norbert, 92a:01087 

Koblitz, Neal Mathematics under hardship conditions in the Third World. 

(Kovalevskaya, S. V.) see Hormander, Lars, 92g:01115 

Mason, Joan Hertha Ayrton (1854-1923) and the admission of women to the Royal Society 
of London. 92j:01075 

(Mittag-Leffler, Magnus Gésta) see Hormander, Lars, 92g:01115 

Ruiz Ziifiiga, Angel Ideology, politics and mathematics. (Spanish) (see 92e:00013) 

Schappacher, Norbert Fachverband—Institut—Staat. Streiflichter auf das Verhaltnis von 
Mathematik zu Gesellschaft und Politik in Deutschland seit 1890 unter besonderer 
Beriicksichtigung der Zeit des Nationalsozialismus. [Professional association— 
institute—state. Glimpses at the relationship of mathematics to society and politics in 
Germany since 1890 with special reference to the era of National Socialism] 92a:01087 

Shafer, Glenn The unity and diversity of probability. 92d:01083 

Stinnett, Sandra (with et al.) Women in statistics: sesquicentennial activities. 92j:01076 


Items listed otherwise than by author 

Biography: 
Women in statistics see Stinnett, Sandra, 92j:01076 

Educating mathematical scientists: doctoral study and the postdoctoral experience in the 
United States Educating mathematical scientists: doctoral study and the postdoctoral 
experience in the United States. 

Special Issue: 
Women in mathematics * Women in mathematics. 92d:01084 

Women in mathematics * Women in mathematics. 92d:01084 





57 1992 


Items with secondary classifications in 01A80 

Abbott, Edwin Abbott * Flatland. 92m:01092 

(Banchoff, Thomas) see Abbott, Edwin Abbott, 92m:01092 

de Bruijn, N.G. Mathematics and computers. 92j:00026 

Chern, Shiing Shen How to make China a mathematically advanced country? (Chinese) 

Choquet, Gustave Peut-on renouveler ses champs d’intérét? Essai de réponses concrétes. 
[Can one renew one’s fields of interest? An attempt at some concrete answers] 92m:00001 

(De Metts, G. G.) see Savchuk, V.S. 

Galiani, Celestino (with Grandi, Guido) * Carteggio (1714-1729). (Italian) [Correspon- 
dence (1714-1729)] 92f:01040 

(Goldman, A. G.) see Savchuk, V.S. 

Grandi, Guido see Galiani, Celestino, 92f:01040 

Gray, Mary W. The Association for Women in Mathematics—a personal view. 

Hensel, Susann (with Ihmig, Karl-Norbert; Otte, Michael) * Mathematik und Technik 
im 19. Jahrhundert in Deutschland. (German) [Mathematics and technology in the 19th 
century in Germany] 92c:01023 

Hofmann, Karl Heinrich Symmetrie und Homogenitat. [Symmetry and homogeneity] 
92m:01032 

Hollingdale, Stuart * Makers of mathematics. 92a:01011 

Holmann, Harald Griindung der Europdischen Mathematischen Gesellschaft. [Founding of 
the European Mathematical Society] (see 92m:00034) 

Ihmig, Karl-Norbert see Hensel, Susann; et al., 92c:01023 

Israel, Giorgio (with Nurzia, L.) Fundamental trends and conflicts in Italian mathematics 
between the two world wars. 92c:01030 

Jahnke, Hans Niels Hilbert, Weyl und die Philosophie der Mathematik. [Hilbert, Weyl and 
the philosophy of mathematics] 92b:01043 

(Klein, Felix) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

, A.N. Scientific contacts with France. (Russian) 92k:01033 

— see also Yushkevich, A. P., 92k:01034 

(Kovalevskaya, S. V.) see Tsijli, Theodora, (92e:00013) 

Mathias, A. R. D. Logic and terror. 92m:01039 

(Mayer, Adolph) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

Monastyrskii, M.I. The Fields Prize. (Russian) 92k:01022 

Nurzia, L. see Israel, Giorgio, 92c:01030 

Ogilvie, Marilyn Bailey * Women in science. 92f:01034 

Otte, Michael see Hensel, Susann; et al., 92c:01023 

(Palladino, Franco) see Galiani, Celestino, 92f:01040 

Peckhaus, Volker * Hilbertprogramm und Kritische Philosophie. (German) [The Hilbert 
program and critical philosophy] 92g:01054 

(Rowe, David E.) see Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

Savchuk, V.S. Sources of the Ukrainian Association of Physicists (from the correspondence 
of A. G. Gol‘dman and G. G. De Metts). (Russian) 

Scriba, Christoph J. Die Kunst-Rechnungs-liebende Societat in Hamburg (gegr. 1690) und 
die Deutsche Akademie der Naturforscher Leopoldina (gegr. 1652): Gemeinsamkeiten 
und Unterschiede bei der Férderung der Wissenschaften seit dem 17. Jahrhundert. 

[The Arithmetical Society in Hamburg (founded in 1690) and the German Academy 
of Scientists Leopoldina (founded in 1652): common interests and differences in the 
promotion of the sciences since the 17th century] 92m:01091 

(Simonutti, Luisa) see Galiani, Celestino, 92f:01040 

Tobies, R. Warum wurde die Deutsche Mathematiker-Vereinigung innerhalb der 
Gesellschaft deutscher Naturforscher und Arzte gegriindet? Mathematiker-Briefe zur 
Griindungsgeschichte der DMV. [Why was the Union of German Mathematicians 
founded within the Society of German Scientists and Physicians? Mathematicians’ letters 
on the history of the foundation of the DMV] 924:01075 

— see also Correspondence: Klein, Felix-Mayer, Adolph, 92m:01034 

(Torrini, Maurizio) see Galiani, Celestino, 92f:01040 

Treisman, Uri Developing the next generation of mathematicians. 92j:01055 

Tsijli, Theodora Sof'ya Kovalevskaya: one hundred years after her death. (Spanish) (see 
92e:00013) 

Yushkevich, A. P. The French Revolution and the development of mathematics in Russia. 
(Russian) 92a:01035 

— The election of A. N. Kolmogorov as a foreign member of the French Academy of 
Sciences. (Russian) 92k:01034 

— see also Kolmogorov, A. N., 92k:01033 


Items listed otherwise than by author 
Correspondence: 
Galiani, Celestino-Grandi, Guido see Galiani, Celestino, 92f:01040 
Klein, Felix-Mayer, Adolph * Korrespondenz Felix Klein-Adolph Mayer. (German) 
[The correspondence of Felix Klein and Adolph Mayer] 92m:01034 





Women in science see Ogilvie, Marilyn Bailey, 92f:01034 
Graduate education in transition Graduate education in transition. 


01A99 Miscellaneous topics 


‘Alavi, Mahdi Two-dimensional symmetry in ancient designs. (Persian) (see 92m:00055) 

Beckert, Herbert Bemerkungen zu den Anwendungen der Theorie der Wahrscheinlichkeit. 
[Comments on the applications of probability theory] 92f:01044 

Belihouse, D. R. The Genoese lottery. 

Beynon, Meurig (with Russ, Steve) The development and use of variables in mathematics 
and computer science. (see 92h:00013) 

Buchwald, Jed Z. Kinds and the wave theory of light. 

Castro Fernandez, Edwin Famous mathematical problems. II. Duplication of the cube and 
the cubic root. (Spanish) (see 92e:00013) 

(Crombie, A.C.) see Eastwood, Bruce S. 

(Demidov, S.S.) see Florenskii, P. A., 92j:01077 

Eastwood, Bruce S. On the continuity of Western science from the Middle Ages: A. C. 
Crombie’s Augustine to Galileo. A second look. 


01A History of mathematics and mathematicians 


01A99 


Florenskii, P. A. Draft of an address at the opening of the student mathematics club of the 
Moscow Mathematical Society. (Russian) 92j:01077 

(Florenskii, P. V.) see Florenskii, P. A., 92j:01077 

Gillispie, Charles Coulston * The edge of objectivity. 92j:01078 

Grattan-Guinness, Ivor A note on The Educational Times and Mathematical Questions. 

Hironaka, Heisuke Fame, sweet and bitter. 92h:01085 

Holmberg, Peter From Aurajoki to Siltavuori: the history of physics and physicists in 
Finland. (Finnish. English summary) 

Holton, Gerald Ernst Mach and the fortunes of positivism in America. 

Hrube3, Jaromir The relation between algebraic content and form. (Czech. English 
summary) 92h:01086 

Jarne, Gloria (with Minguillén, Esperanza; Zabal, Maria Trinidad) Influence of mathemat- 
ics in economics. (Spanish. English summary) (see 92m:00053) 

Khramov, Yu. A. A short history of the development of physics in the Ukraine. (Russian) 

Kudlek, Manfred Calendar systems. 92j:01079 

Kurepa, Djuro R. Mathematics and the alphabet. (Serbo-Croatian) 

MacDonnell, Joseph * Jesuit geometers. 92¢:01082 

(Mach, Ernst) see Holton, Gerald 

Martel Moreno, José see Moreno Martel, Ma. Dolores; et al., (92m:00053) 

Minguillén, Esperanza see Jarne, Gloria; et al., (92m:00053) 

Morales Gonzalez, Agustin see Moreno Martel, Ma. Dolores; et al., (92m:00053) 

Moreno Martel, Ma. Dolores (with Morales Gonzalez, Agustin; Martel Moreno, José) The 
quadrature of the circle as a didactic tool. (Spanish. English summary) (see 92m:00053) 

(Ollerenshaw, Kathleen) see Ollerenshaw point. Comment to: “Some personal delights in 
geometry—from earliest days to fractals” 

(Padberg, John W.) see MacDonnell, Joseph, 92e:01082 

(Polovinkin, S.M.) see Florenskii, P. A., 92j:01077 

Pressman, Ian (with Singmaster, David) The jealous husbands and the missionaries and 
cannibals. 92b:01086 

Rothman, Tony * Science a la mode. 92j:01080 

Russ, Steve see Beynon, Meurig, (92h:00013) 

Scheibe, Erhard Struktur und Theorie in der Physik. [Structure and theory in physics] (see 
92e:83001) 

Singmaster, David see Pressman, Ian, 92b:01086 

Velichova, Daniela Geometry (an essay). (Slovak) 

Zabal, Maria Trinidad see Jarne, Gloria; et al., (92m:00053) 


Items listed otherwise than by author 

Ollerenshaw point. Comment to: “Some personal delights in geometry—from earliest days to 
fractals” The Ollerenshaw point. Comment to: “Some personal delights in geometry— 
from earliest days to fractals” [Bull. Inst. Math. Appl. 27 (1991), no. 4, 65-75] by K. 
Ollerenshaw. 


Items with secondary classifications in 01A99 


Abdil/din, Zh. M. (with Kadyrzhanov, R. K.; Nysanbaev, A. N.; et al.) * Jloruxo-rnoceonoru- 
4eCKHA aHamH3 HayKu. (Russian) (Logical-epistemological analysis of science] 92m:00010 

Barahona Droguett, Manuel Mathematics and history of mathematics. The number z: seven 
thousand years of mystery. (Spanish) (see 92e:00013) 

Bloembergen, N. Nonlinear optics—a historical perspective. (see 92m:78001) 

Boza Cordero, Juan Modules: the evolution of a concept. (Spanish) (see 92e:00013) 

Campos, Jeanette (with Ruiz Zuiiga, Angel) On the origins of rationalism in the philosophy 
of mathematics. (Spanish) (see 92e:00013) 

Chariton, T. Malcolm (with Cicala, Placido) On the history of suspension bridge theory. 
(Italian summary) 92m:73002 

Chowdhury, M. R. The Apurba Chandra Datta collection. 92e:01021 

Cicala, Placido see Charlton, T. Malcolm, 92m:73002 

(Datta, Apurba Chandra) see Chowdhury, M. R., 92e:01021 

Eckmann, Beno Von der Studierstube in die Offentlichkeit. Wissenschaftliches Publizieren 
aus der Sicht des Mathematikers als Forscher, Autor und Herausgeber. [From the study to 
the public. Scientific publishing from the viewpoint of the mathematician as researcher, 
author and publisher] (see 92d:00038) 

Engeler, Erwin Zur wi haftsth ischen Bedeutung der kombinatorischen Algebra. 
[On the significance of combinatory algebra for the theory of science] 92m:03016 

Flato, Moshé * The power of mathematics. 

Ge, Wei? see Hao, Ke Gang; et al., 92m:00012 

(Hamel, Jiirgen) see Central catalogue of old astronomical printed works in the libraries of the 
GDR (up to 1700), 92a:01002 and 92i:01001 

Hao, Ke Gang (with Ge, Wei’; Jiang, Fu Chun) The relationship between the two 
contending schools in software development methodology and the two ancient schools of 
mathematics—Oriental and Occidental. (Chinese. English summary) 92m:00012 

Ibarra, Andoni (with Mormann, Thomas) What is this “protean” in mathematics? 

Jiang, Fu Chun see Hao, Ke Gang; et al., 92m:00012 

Kadyrzhanov, R. K. see Abdil‘din, Zh. M.; et al., 92m:00010 

Kaiser, Matthias From rocks to graphs—the shaping of phenomena. 

Kliemt, Jens see Puppe, Eckehard, 92m:00017 

Konforovich, A. G. * Logischen Katastrophen auf der Spur. (German) [On the track of 
logical catastrophes] 92a:00002 

Krieger, Martin H. Theorems as meaningful cultural artifacts: making the world additive. 
92k:00018 

(Lecourt, Dominique) see Flato, Moshé 

Mainzer, Klaus Philosophie und Geschichte von Raum und Zeit. [Philosophy and history of 
space and time] (see 92e:83001) 

Mazur, Barry C. Number theory as gadfly. 92f:11077 

Mormann, Thomas see Ibarra, Andoni 

Nerlich, Graham How Euclidean geometry has misled metaphysics. 

Nysanbaev, A. N. see Abdil‘din, Zh. M.; et al., 92m:00010 

Puppe, Eckehard (with Kliemt, Jens) Deterministisches Chaos und Weltbilder. [Determin- 
istic chaos and images of the world] 92m:00017 

Ribenboim, Paulo * The little book of big primes. 92i:11008 

(Robine, Maurice) see Flato, Moshé 











01A99 


Rota, Gian-Carlo Mathematics and philosophy: history of a misunderstanding. (Italian. 
English summary) 92b:00010 

— The concept of mathematical truth. 92c:00007 

Ruiz Ziiiga, Angel Methodological polemics in the history of science and mathematics. 
(Spanish) (see 92e:00013) 

— see also Campos, Jeanette, (92e:00013) 

Singal, M. K. Orthogonal Latin squares. 

(Stephan, Galina) see Konforovich, A. G., 92a:00002 

(Stephan, Holger) see Konforovich, A. G., 92a:00002 

Székely, Gabor J. * Paradoxa. (German) [Paradoxes] 92h:60001a 

— * Paradoxa. (German) [Paradoxes] 92h:60001b 

Taylor, Jean E. Zonohedra and generalized zonohedra. 92k:52019 

Toepell, Michael The lost center of a circle. 92k:51025 

Torretti, Roberto * Creative understanding. 92b:00012 

(Vas, Eva) see Székely, Gabor J., 92h:60001a and 92h:60001b 

Voitsekhevich, V.E. The formation and development of a mathematical theory. (Russian) 
92m:00015 

Wille, Rudolf Symmetrie—Versuch einer Begriffsbestimmung. [Symmetry—attempt at a 
definition] 92b:51001 


Items listed otherwise than by author 
Bibliography: 

Astronomical printed works in the libraries of the GDR (up to 1700) * Zentralkatalog alter 
astronomischer Drucke in den Bibliotheken der DDR (bis 1700). Teil 3. (German) 
[Central catalogue of old astronomical printed works in the libraries of the GDR (up 
to 1700). Part 3} 92a:01002 

— * Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 
1700). Teil 4. (German) [Central catalogue of old astronomical printed works in the 
libraries of the GDR (up to 1700). Part 4] 92i:01001 

Central catalogue of old astronomical printed works in the libraries of the GDR (up to 1700) 

* Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700). 

Teil 3. (German) [Central catalogue of old astronomical printed works in the libraries of 

the GDR (up to 1700). Part 3] 92a:01002 

— * Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700). 
Teil 4. (German) [Central catalogue of old astronomical printed works in the libraries of 
the GDR (up to 1700). Part 4] 92i:01001 

Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700) 

* Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700). 

Teil 3. (German) [Central catalogue of old astronomical printed works in the libraries of 

the GDR (up to 1700). Part 3] 92a:01002 

— * Zentralkatalog alter astronomischer Drucke in den Bibliotheken der DDR (bis 1700). 

Teil 4. (German) [Central catalogue of old astronomical printed works in the libraries of 

the GDR (up to 1700). Part 4] 92i:01001 


03-XX Mathematical logic and foundations 


03-01 Instructional exposition (textbooks, tutorial papers, etc.) 

Bencivenga, Ermanno (with Lambert, Karel; van Fraassen, Bas C.) *& Logic, bivalence and 
denotation. 92i:03001 

van Fraassen, Bas C. see Bencivenga, Ermanno; et al., 92i:03001 

Hacker, Edward A. see Parry, William T., 92h:03002 

Hehner, Eric C. R. Beautifying Gadel. (see 92i:68005) 

Lambert, Karel see Bencivenga, Ermanno; et al., 92i:03001 

Latotin, L. A. (with Makarenkov, Yu. A.; Nikolaeva, V. V.; Stolyar, A. A.) * Matematu- 
yeckaa Joruka. (Russian) [Mathematical logic] 92h:03001 

Makarenkov, Yu. A. see Latotin, L. A.; et al., 92h:03001 

Margaris, Angelo * First order mathematical logic. 92b:03001 

Murawski, Roman * Funkcje rekurencyjne i elementy metamatematyki. (Polish) [Recur- 
sive functions and elements of metamathematics] 92f:03001 

Nikolaeva, V. V. see Latotin, L. A.; et al., 92h:03001 

Parry, William T. (with Hacker, Edward A.) * Aristotelian logic. 92h:03002 

Rautenberg, Wolfgang Unvollstandigkeit, Unentscheidbarkeit, Nichtdefinierbarkeit. 
[Incompleteness, undecidability, undefinability] 92h:03003 

Rockingham Gill, R. R. * Deducibility and decidability. 92e:03001 

Seebohm, Thomas M. * Elementare formalisierte Logik. (German) [Elementary formalized 
logic] 92m:03001 

Smoryiski, Craig * Logical number theory. I. 92g:03001 

Stolyar, A. A. see Latotin, L. A.; et al., 92h:03001 

(Wiegand, Olav) see Seebohm, Thomas M., 92m:03001 


Items with secondary classifications in 03-01 

De Bosschere, Koen The use of clause forms and resolution for proving validity. 92e:03013 

Dunne, Paul E. * Computability theory. 92g:68003 

Eves, Howard * Foundations and fundamental concepts of mathematics. 92k:00001 

Jones, James P. (with Matiyasevich, Yu. V.) Proof of recursive unsolvability of Hilbert’s 
tenth problem. 92i:03050 

Kaye, Richard William * Models of Peano arithmetic. 92k:03034 

Matiyasevich, Yu. V. see Jones, James P., 92i:03050 

(Meserve, Bruce E.) see Eves, Howard, 92k:00001 

Potter, Michael D. * Sets. 92c:04001 

Ramsay, Allan * Formal methods in artificial intelligence. 92b:68053 

— * Formal methods in artificial intelligence. 92i:68130 


HISTORY AND BIOGRAPHY 


1992 


03-02 Research exposition (monographs, survey articles) 


van Benthem, Johan * Language in action. 92g:03002 
S uga-Rosol , Giovanni * Fixed point constructions in various theories of 
mathematical logic. 92g:03003 





Items with secondary classifications in 03-02 

Boicescu, V. (with Filipoiu, Alexandru; Georgescu, G.; Rudeanu, Sergiu) * Lukasiewicz- 
Moisil algebras. 92k:03031 

Filipoiu, Alexandru see Boicescu, V.; et al., 92k:03031 

Georgescu, G. see Boicescu, V.; et al., 92k:03031 

Gottwald, Siegfried * Mehrwertige Logik. (German) [Multivalued logic] 92i:03020 

(Lukasiewicz, J.) see Boicescu, V.; et al., 92k:03031 

(Moisil, Gr. C.) see Boicescu, V.; et al., 92k:03031 

(Norman, Jean) see Paraconsistent logic, 92m:03036 

Nortmann, Ulrich * Deontische Logik ohne Paradoxien. Semantik und Logik des 
Normativen. (German) [Deontic logic without paradoxes. Semantics and logic of the 
normative] 92c:03022 

(Priest, Graham) see Paraconsistent logic, 92m:03036 

(Routley, Richard) see Paraconsistent logic, 92m:03036 

Rudeanu, Sergiu see Boicescu, V.; et al., 92k:03031 

Sacks, Gerald E. * Higher recursion theory. 92a:03062 

Shen, Bai Ying * Yuanshi digui suanshu. (Chinese) [Primitive recursive arithmetic] 
92g:03083 


Items listed otherwise than by author 
Bibliography: 

Paraconsistency * Paraconsistent logic. 92m:03036 
Paraconsistent logic * Paraconsistent logic. 92m:03036 


03-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Abeles, Francine F. Lewis Carroll’s method of trees: its origins in Studies in logic. 92c:03001 

Anellis, Irving H. From semantic tableaux to Smullyan trees: a history of the development 
of the falsifiability tree method. 92a:03001 

— Kant, axiomatics, logic and geometry: review of Logic, [English translation, second 
edition, Dover, New York, 1988; MR 91h:01097] by I. Kant. 

(Aristotle) see Bogen, James; Fine, Gail, (92c:01010) and Mueller, Ian, (92c:01010) 

Bogen, James Aristotelian contraries. 

(Carnap, Rudolf) see Jeffrey, Richard C. and Hintikka, Jaakko 

(Carroll, Lewis) see Abeles, Francine F., 92c:03001 

Cavaliere, Fania Review-essay of N. A. Vasil’ev’s Imaginary logic [(Russian), edited by V. A. 
Smirnov, “Nauka”, Moscow, 1989; MR 91b:01 100]. (Italian. English summary) 

Fine, Gail Forms as causes: Plato and Aristotle. (see 92c:01010) 

Hintikka, Jaakko Carnap, the universality of language and extremality axioms. 

Iwakuma, Yukio Instantiae: an introduction to a twelfth century technique of argumenta- 
tion. 92¢:03002 

(Jacquette, Dale) see Presburger, Mojzesz, 92i:03003 

Jeffrey, Richard C. After Carnap. 

(Kant, Immanuel) see Anellis, Irving H. 

Lear, Jonathan Active episteme. (see 92c:01010) 

(Leibniz, Gottfried Wilhelm) see van Rijen, Jeroen, 92a:03003; Mugnai, Massimo, 92d:03001 
and Petia, Lorenzo, 92m:03002 

Magnell, Thomas The extent of Russell’s modal views. 92a:03002 

Mueller, Ian Aristotle’s approach to the problem of principles in Metaphysics M and N. (see 
92c:01010) 

Mugnai, Massimo A systematical approach to Leibniz’s theory of relations and relational 
sentences. 92d:03001 

(Peano, Giuseppe) see Peckhaus, Volker, 92¢:03002 

Peckhaus, Volker Ernst Schréder und die “pasigraphischen Systeme” von Peano und Peirce. 
(English summary) [Ernst Schréder and the “pasigraphic systems” of Peano and Peirce] 
92e:03002 

(Peirce, Charles S.) see Peckhaus, Volker, 92e:03002 

Pefia, Lorenzo De la logique combinatoire des Generales inquisitiones aux calculs combina- 
toires contemporains. (English summary) [From the combinatory logic of the Generales 
inquisitiones to contemporary combinatory calculi] 92m:03002 

(Plato) see Fine, Gail, (92c:01010) 

Presburger, Mojzesz On the completeness of a certain system of arithmetic of whole 
numbers in which addition occurs as the only operation. 92i:03003 

— see also Zygmunt, Jan, 92i:03002 

van Rijen, Jeroen Some misconceptions about Leibniz and the Calculi of 1679. (German 
summary) 92a:03003 

(Schréder, Ernst) see Peckhaus, Volker, 92e:03002 and Thiel, Christian, 92e:03004 

Schupp, Franz * Logical probl of the medieval theory of consequences. 92k:03001 

Shaw, J. L. Descriptions: contemporary philosophy and the Nyadya. 92e:03003 

(Smirnov, Viadimir Aleksandrovich‘) see Cavaliere, Fania 

Thiel, Christian Ernst Schréder and the distribution of quantifiers. 92e:03004 

(Vasil’ev, N. A.) see Cavaliere, Fania 

Zygmunt, Jan Mojzesz Presburger: life and work. 92i:03002 





Items with secondary classifications in 03-03 

Alcolea Banegas, Jestis Arend Heyting. (Spanish) 92g:01061 

Anellis, Irving H. Schréder material at the Russell archives. 92f:01022 

— Theology against logic: the origins of logic in old Russia. 92h:01015 

(Angelelli, Ignacio) see Frege, Gottlob, 92f:01038 

Annas, Julia Die Gegenstande der Mathematik bei Aristoteles. [The subjects of mathemat- 
ics in the work of Aristotle] (see 92c:01010) 

(Apuleius) see Londey, David, 92e:01015 

(Ariew, Roger) see Leibniz, Gottfried Wilhelm, 92j:01072 





59 1992" 


(Aristotle) see Mathematics and metaphysics in Aristotle, 92c:01010; Annas, Julia, 
(92c:01010); Mignucci, Mario, (92c:01010) and Burnyeat, M. F., (92c:01010) 

Bell, David Andrew How “Russellian” was Frege? 92f:03002 

(Bernoulli, Jacob I) see Boswell, Terry, 92d:01013 

(Bernoulli, Johann I) see Boswell, Terry, 92d:01013 

Berti, Enrico Les livres M et N dans la genése et la transmission de la Métaphysique. [Books 
M and N in the genesis and transmission of the Metaphysics] (see 92c:01010) 

Bertier, Janine Les preuves de la réalité des nombres et la théorie des idées d’aprés 
Métaphysique N2, 1090a 2-3, 1090b 5. [The proofs of the reality of numbers and the 
theory of ideas according to Metaphysics N2, 1090a 2-3, 1090b 5] (see 92c:01010) 

(Boole, George) see Grattan-Guinness, Ivor, 92c:01022 

Boswell, Terry The brothers James and John Bernoulli on the parallelism between logic and 
algebra. 924:01013 

(Brouwer, Luitzen Egbertus Jan) see van Stigt, Walter P., 92d:01054 

Brunning, Jacqueline C. S. Peirce’s relative product. 92i:01016 

Burnyeat, M. F. Platonism and mathematics: a prelude to discussion. (see 92c:01010) 

Bychkov, S. N. Features of the ancient method of exhaustion. (Russian) 92e:01011 

Calude, Cristian (with Marcus, Solomon) Sudan’s recursive but not primitive recursive 
function: a retrospective look. 92a:03060 

(Cambray Nuifiez, Rodrigo) see Lowe, Victor, 92a:01054 and 92a:01055 

(Carnap, Rudolf) see Kéhler, Eckehart, 92j:01046 

van Dalen, D. Heyting and intuitionistic geometry. 92i:03066 

Dalla Chiara, Maria Luisa (with Mugnai, Massimo) A formal reconstruction of Leibniz’ 
intensional semantics. 92i:03004 

Detlefsen, Michael On an alleged refutation of Hilbert’s program using Gédel’s first 
incompleteness theorem. 92b:03057 

Dipert, Randall R. The life and work of Ernst Schréder. 92b:01066 

Dreben, Burton (with Floyd, Juliet) Tautology: how not to use a word. 

Dufour, Carlos A. * Die Lehre der proprietates terminorum. (German) [The theory of 
proprietates terminorum] 92b:01019 

(Ehrig-Eggert, Carl) see Yahya ibn ‘Adi, Abt Zakartya’ 

Floyd, Juliet Wittgenstein on 2, 2,2---: the opening of remarks on the foundations of 
mathematics. 

— see also Dreben, Burton 

Frege, Gottlob * Kleine Schriften. (German) [Shorter writings] 92f:01038 

— * Die Grundlagen der Arithmetik. (German) [The foundations of arithmetic] 92f:01039 

— see also Garavaso, Pieranna, 92c:03005; Ruffino, Marco Antonio, 92e:03006; Kaschmieder, 
Hartfried, 92:01029; Bell, David Andrew, 92f:03002; Weiner, Joan, 92m:03009 and 
Schwartz, Elisabeth 

Friedman, Michael The re-evaluation of logical positivism. 

(Gabriel, Gottfried) see Lotze, Rudolf Hermann, 92d:01080a and 92d:01080b 

Garavaso, Pieranna Frege and the analysis of thoughts. 92c:03005 

(Garber, Daniel) see Leibniz, Gottfried Wilhelm, 92j:01072 

Gerrard, Steve Wittgenstein’s philosophies of mathematics. 

(Ginisti, Jean-Pierre) see Schinfinkel, M., 92f:03013 

(Gédel, Kurt Friedrich) see Wang, Hao', 92a:01078a; 92a:01078b; Kreisel, Georg, 92c:01031; 
92c:01032; Gédel’s theorem in focus, 92c:03007; Kohler, Eckehart, 92j:01046 and Moore, 
Gregory H., 92j:01047 

(Graeser, Andreas) see Mathematics and metaphysics in Aristotle, 92c:01010 

Grattan-Guinness, Ivor Bertrand Russell (1872-1970) after twenty years. 92e:01058 

— The correspondence between George Boole and Stanley Jevons, 1863-1864. 92c:01022 

Hacker, Edward A. see Parry, William T., 92h:03002 

Hailperin, Theodore Probability logic in the twentieth century. 92j:01044 

— Herbrand semantics, the potential infinite, and ontology-free logic. 92m:03005 

Harré, Rom Obituary: William Kneale. 

(Heyting, Arend) see Alcolea Banegas, Jestis, 92g:01061 and van Dalen, D., 92i:03066 

Houser, Nathan The Schréder-Peirce correspondence. 92i:01019 

(Jager, Gerhard) see Specker, Ernst, 92g:01110 

(Jevons, William Stanley) see Grattan-Guinness, Ivor, 92c:01022 

Johanson, Carmen see Londey, David, 92e:01015 

(Kant, Immanuel) see Posy, Carl J. 

Kaschmieder, Hartfried * Beurteilbarer Inhalt und Gedanke in der Philosophie Gottlob 
Freges. (German) [Judgeable content and thought in the philosophy of Gottlob Frege] 
92:01029 

(Kneale, William) see Harré, Rom 

Kohler, Eckehart Gédel and Carnap in Vienna. 92j:01046 

(Korteweg, D. J.) see van Stigt, Walter P., 92d:01054 

Kreisel, Georg Book review: Collected works, Vol. I {Oxford Univ. Press, New York, 1986; 
MR 87h:01096] by K. Godel. 92c:01031 

— Review of K. Gédel’s Collected works, Vol. II (Oxford Univ. Press, New York, 1990; MR 
91b:01093]. 92c:01032 

Kutateladze, S.S. Directions in nonstandard analysis. (Russian) 92¢:01034a 

— Credenda of nonstandard analysis (translation of Trudy Inst. Mat. (Novosibirsk) 14 
(1989), Sovrem. Probl. Geom. Analiz., 153-182; MR 92c:01034a]. 92c:01034b 

Kuzicheva, Z. A. From the history of the generality and existence operators. (Russian. 
English summary) 92a:01045 

Lambert, Karel Russell’s theory of definite descriptions. 92k:03003 

Landini, Gregory A new interpretation of Russell’s multiple-relation theory of judgment. 
92b:03004a 

— Errata: “A new interpretation of Russell’s multiple-relation theory of judgment”. 
92b:03004b 

(Lauchli, Hans) see Specker, Ernst, 92g:01110 

Leibniz, Gottfried Wilhelm * Discourse on metaphysics and other essays. 92j:01072 

— see also Lenzen, Wolfgang, 92g:01031; Dalla Chiara, Maria Luisa, 92i:03004 and Leibniz, 
Gottfried Wilhelm, 92m:01004 

Lejewski, Czestaw Stanislaw Lesniewski (1886-1939). (Polish) 92a:01069 

Lenzen, Wolfgang Concepts vs. predicates. Leibniz’s challenge to modern logic. 92g:01031 

(LeSniewski, Stanislaw) see Lejewski, Czestaw, 922:01069 

Londey, David (with Johanson, Carmen) * The logic of Apuleius. 92e:01015 


MATHEMATICAL LOGIC AND FOUNDATIONS 


03-03 


Lotze, Rudolf Hermann * Logik. Erstes Buch: vom Denken (Reine Logik). (German) 
[Logic. First book: on thinking (pure logic)] 92d:01080a 

— *& Logik. Drittes Buch: vom Erkennen (Methodologie). (German) [Logic. Third book: on 
cognition (methodology)] 92d:01080b 

Lowe, Victor The first period of the works of Whitehead (ca. 1891-1913): Universal algebra 
and Principia mathematica. 1.(Spanish) 92a:01054 

— The first period of the works of Whitehead. II. (Spanish) 92a:01055 

Mancosu, Paolo On the status of proofs by contradiction in the seventeenth century. 
92g:01033 

Marcus, Solomon see Calude, Cristian, 92a:03060 

Mathias, A. R. D. Logic and terror. 92m:01039 

McCarty, David Charles The philosophy of logical wholism. 

(Meon, Jonas) see Specker, Ernst, 92g:01110 

(Mériaux, Michel) see Wang, Hao!', 92a:01078b 

Mignucci, Mario Aristotle’s arithmetic. (see 92c:01010) 

Moore, Gregory H. Sixty years after Gédel. 92j:01047 

Mugnai, Massimo see Dalla Chiara, Maria Luisa, 92i:03004 

Nuchelmans, Gabriel A 17th-century debate on the consequentia mirabilis. 92h:01021 

(Ovion, Laura) see Wang, Hao!, 92a:01078b 

Parry, William T. (with Hacker, Edward A.) * Aristotelian logic. 92h:03002 

Patzig, Ginther Das Programm von M und seine Ausfiihrung. [The program of M and its 
execution] (see 92c:01010) 

(Peano, Giuseppe) see Zaitsev, E. A., 92d:01032 and Rodriguez Consuegra, Francisco, 
92e:01054 

Peckhaus, Volker * Hilbertprogramm und Kritische Philosophie. (German) [The Hilbert 
program and critical philosophy] 92g:01054 

— Introduction. 92b:01065 

(Peirce, Charles S.) see Brunning, Jacqueline, 92i:01016 and Houser, Nathan, 92i:01019 

(Plato) see Burnyeat, M. F., (92c:01010) 

Posy, Carl J. Kant and conceptual semantics: a sketch. 

(Robinson, George A.) see Wos, Larry, 92g:01098 

Rodriguez Consuegra, Francisco Logistic elements in the work of Peano and his school. 
(Spanish) 92¢e:01054 

— Bertrand Russell 1900-1913: principles of mathematics. I. (Spanish) 92e:01055a 

— Bertrand Russell 1900-1913: principles of mathematics. II. (Spanish) 92e:01055b 

Ruffino, Marco Antonio Context principle, fruitfulness of logic and the cognitive value of 
arithmetic in Frege. 92¢:03006 

Ruitenburg, Wim B.G. Constructive logic and the paradoxes. 92g:03011 

(Russell, Bertrand A. W.) see Rodriguez Consuegra, Francisco, 92e:01055a; 92e:01055b; 
Grattan-Guinness, Ivor, 92e:01058; Anellis, Irving H., 92f:01022 and Lambert, Karel, 
92k:03003 

Rutten, Christian Métaphysique M et N. Essai de chronologie relative. [Metaphysics M and 
N: an attempt at a relative chronology] (see 92c:01010) 

Scanlan, Michael Who were the American postulate theorists? 92g:01056 

(Scarpellini, Bruno) see Specker, Ernst, 92g:01110 

Schinfinkel, M. Sur les éléments de construction de la logique mathématique. (English 
summary) [On the building blocks of mathematical logic] 92f:03013 

(Schréder, Ernst) see Dipert, Randall R., 92b:01066; Anellis, Irving H., 92f:01022 and 
Houser, Nathan, 92i:01019 

Schiitte, Kurt (with Schwichtenberg, Helmut) Mathematische Logik. [Mathematical logic] 
92a:01060 

Schwartz, Elisabeth Le jugement de recognition fregéen et la supposition de détermination 
complete. [The Fregean judgment of recognition and the supposition of complete 
determination] 

Schwichtenberg, Helmut see Schiitte, Kurt, 92a:01060 

Seuren, Pieter A.M. Neue Entwicklungen im Wahrheitsbegriff. (English summary) [New 
developments in the concept of truth] 92e:03007 

Shanker, S.G. The dawning of (machine) intelligence. 92a:01013 

— see also Gédel’s theorem in focus, 92c:03007 

Specker, Ernst * Selecta. 92g:01110 

Spruit, Leen (with Tamburrini, Guglielmo) Reasoning and computation in Leibniz. 
924:01015 

van Stigt, Walter P. * Brouwer’s intuitionism. 92d:01054 

(Strassen, Volker) see Specker, Ernst, 92g:01110 

Szlezak, Thomas Alexander Die Liickenhaftigkeit der akademischen Prinzipientheorien 
nach Aristoteles’ Darstellung in Metaphysik M und N. [The incompleteness of the 
academic theories of principles following Aristotle’s presentation in Metaphysics M and 
N] (see 92c:01010) 

Tamburrini, Guglielmo see Spruit, Leen, 924:01015 

Thom, Paul The two Barbaras. 92m:03010 

(Vandevelde, Genevieve) see Schénfinkel, M., 92f:03013 

Wang, Hao! * Reflections on Kurt Gédel. 92a:01078a 

— * Kurt Gédel. (French) 92a:01078b 

Weiner, Joan * Frege in perspective. 92m:03009 

(Whitehead, Alfred North) see Lowe, Victor, 92a:01054 and 92a:01055 

Wiggins, David Meaning, truth-conditions, proposition: Frege’s doctrine of sense retrieved, 
resumed and redeployed in the light of certain recent criticisms. 

Willing, Anthony Buridan’s divided modal syllogistic. 92j:03016 

(Wittgenstein, Ludwig) see Gerrard, Steve and Floyd, Juliet 

Wos, Larry A well-kept secret of history. 92g:01098 

Yahya ibn ‘Adi, Aba Zakariya’ On the proof of the nature of the possible. (Arabic) 

Zaitsev, E. A. The semantic structure of G. Peano’s logic. (Russian) 92d:01032 


Items listed otherwise than by author 

Bibliography: 
Frege, Gottlob see Frege, Gottlob, 92f:01038 and Weiner, Joan, 92m:63009 
Gédel, Kurt Friedrich see Wang, Hao! , 92a:01078b 
LeSniewski, Stanislaw see Lejewski, Czestaw, 92a:01069 
Russell, Bertrand A. W. see Rodriguez Consuegra, Francisco, 92e:01055b 
Specker, Ernst P. see Specker, Ernst, 92g:01110 





03-03 


Biography: 
Gédel, Kurt Friedrich * Gédel’s theorem in focus. 92c:03007 
— see also Wang, Hao! , 92a:01078a and 92a:01078b 
Leibniz, Gottfried Wilhelm see Leibniz, Gottfried Wilhelm, 92j:01072 
LeSniewski, Stanislaw see Lejewski, Czestaw, 92a:01069 
Specker, Ernst P. see Specker, Ernst, 92g:01110 
Gédel’s theorem in focus * Gédel’s theorem in focus. 92c:03007 


Items with secondary classifications in 03-03 

Anellis, Irving H. Kant, axiomatics, logic and geometry: review of Logic, [English 
translation, second edition, Dover, New York, 1988; MR 91h:01097] by I. Kant. 

(Angelelli, Ignacio) see Frege, Gottlob, 92f:01038 

Annas, Julia Die Gegenstinde der Mathematik bei Aristoteles. [The subjects of mathemat- 
ics in the work of Aristotle] (see 92c:01010) 

(Ariew, Roger) see Pierre Duhem: historian and philosopher of science, 92f:01004b and 
Leibniz, Gottfried Wilhelm, 92j:01072 

(Aristotle) see Mathematics and metaphysics in Aristotle, 92c:01010; Fine, Gail, (92c:01010); 
Annas, Julia, (92c:01010); Mignucci, Mario, (92c:01010); Burnyeat, M. F., (92c:01010) 
and Mueller, Ian, (92c:01010) 

Arntzenius, Frank State-spaces and meaning relations among predicates. 

(Barker, Peter) see Pierre Duhem: historian and philosopher of science, 92f:01004b 

(Bernoulli, Jacob I) see Boswell, Terry, 92d:01013 

(Bernoulli, Johann I) see Boswell, Terry, 92d:01013 

Berti, Enrico Les livres M et N dans la genése et la transmission de la Métaphysique. [Books 
M and N in the genesis and transmission of the Metaphysics] (see 92c:01010) 

Bertier, Janine Les preuves de la réalité des nombres et la théorie des idées d’aprés 
Métaphysique N2, 1090a 2-3, 1090b 5. [The proofs of the reality of numbers and the 
theory of ideas according to Metaphysics N2, 1090a 2-3, 1090b 5] (see 92c:01010) 

Bolzano, Bernard * Las paradojas del infinito. (Spanish) [Paradoxes of the infinite] 
92g:01106 

Boswell, Terry The brothers James and John Bernoulli on the parallelism between logic and 
algebra. 92d:01013 

(Brandl, Johannes) see Wittg: 
92a:00026c 

Burdick, Howard A notorious affair called exportation. 92m:03022 

Burgess, John P. Synthetic mechanics revisited. 92f:03008 

Burnyeat, M. F. Platonism and mathematics: a prelude to discussion. (see 92c:01010) 

(Cambray Niiiez, Rodrigo) see Lowe, Victor, 92a:01054 and 92a:01055 

Campos, Jeanette (with Ruiz Zuiiga, Angel) Metaphysics, epistemology and mathematics 
in Spinoza and Leibniz. (Spanish) (see 92e:00013) 

Caristrom, Ian F. A truth-functional logic for near-universal generalizations. 92g:03061 

(Carnap, Rudolf) see Kohler, Eckehart, 92j:01046 and Hintikka, Jaakko 

Cavaliere, Fania Review-essay of N. A. Vasil‘ev’s Imaginary logic [(Russian), edited by V. A. 





ds a re-evaluation, 92a:00026a; 92a:00026b and 





Smirnov, “Nauka”, Moscow, 1989; MR 91b:01 100). (Italian. English summary) 
Clavelli, Massimo The paradox of the two classes. (Italian. English summary) 92i:03041 


da Costa, Newton C. A. (with Doria, F. A.) Classical physics and Penrose’s thesis. 
92g:03063 

— (with French, Steven) On Russell’s principle of induction. 92f:03016 

Detlefsen, Michael On an alleged refutation of Hilbert’s program using Gédel’s first 
incompleteness theorem. 92b:03057 

(Diez, A.) see Structures in mathematical theories, 92c:00010 

Doria, F. A. see da Costa, Newton C. A., 92g:03063 

Drucker, Thomas History and grammar. 92j:03058 

(Duhem, Pierre) see Pierre Duhem: historian and philosopher of science, 92f:01004b 

Dunn, J. Michael Relevant predication. II. Intrinsic properties and internal relations. 
92¢:03026 

(Echeverria, J.) see Structures in mathematical theories, 92c:00010 

Edelberg, Walter A case for a heretical deontic semantics. 92d:03018 

Eves, Howard * Foundations and fundamental concepts of mathematics. 92k:00001 

Fagin, Ronald (with Halpern, Joseph Y.; Vardi, Moshe Y.) A model-theoretic analysis of 
knowledge. 92f:68172 

Fine, Gail Forms as causes: Plato and Aristotle. (see 92c:01010) 

Frépolli, Maria J. Is Cantorian set theory an iterative conception of set? (Spanish summary) 
92g:04001 

Frege, Gottlob * Kleine Schriften. (German) [Shorter writings] 92f:01038 

— see also Kaschmieder, Hartfried, 92f:01029 

French, Steven see da Costa, Newton C. A., 92f:03016 

(Garber, Daniel) see Leibniz, Gottfried Wilhelm, 92j:01072 

(Gédel, Kurt Friedrich) see Kreisel, Georg, 92c:01031; 92c:01032; Wang, Hao! , 92g:00010; 
Yourgrau, Palle, 92j:00020 and Kohler, Eckehart, 92j:01046 

Goodman, Nicolas D. Modernizing the philosophy of mathematics. 92e:00003 

(Graeser, Andreas) see Mathematics and metaphysics in Aristotle, 92c:01010 

(Haller, Rudolf) see Wittg ds a re-evaluation, 92a:00026a; 92a:00026b and 
92a:00026c 

Halpern, Joseph Y. see Fagin, Ronald; et al., 92f:68172 

Hintikka, Jaakko Carnap, the universality of language and extremality axioms. 

Hisdal, Ellen Naturalized logic and chain sets. 92f:03018 

(Husseri, Edmund) see Mormann, Thomas, 92b:00009 

(Ibarra, Andoni) see Structures in mathematical theories, 92c:00010 

(Kant, Immanuel) see Anellis, Irving H. 

Kaschmieder, Hartfried * Beurteilbarer Inhalt und Gedanke in der Philosophie Gottlob 
Freges. (German) [Judgeable content and thought in the philosophy of Gottlob Frege] 
92£:01029 

King, Jeffrey C. Instantial terms, anaphora and arbitrary objects. 92a:03007 

Kleiner, Israel Rigor and proof in mathematics: a historical perspective. 92m:01007 

Kohler, Eckehart Godel and Carnap in Vienna. 92j:01046 

Kreisel, Georg Book review: Collected works, Vol. I {Oxford Univ. Press, New York, 1986; 
MR 87h:01096] by K. Godel. 92c:01031 

— Review of K. Gédel’s Collected works, Vol. II [Oxford Univ. Press, New York, 1990; MR 
91b:01093]}. 92c:01032 





MATHEMATICAL LOGIC AND FOUNDATIONS 


van Lambalgen, Michiel Algorithmic information theory. 92b:68037 

Lear, Jonathan Active episteme. (see 92c:01010) 

Leibniz, Gottfried Wilhelm * Discourse on metaphysics and other essays. 92j:01072 

— see also Leibniz, Gottfried Wilhelm, 92m:01004 and Campos, Jeanette, (92e:00013) 

Lerda, F. Artificial intelligence, mathematics and physics: hic Rhodus, hic salta. (Italian. 
English summary) 92k:00019 

Levesque, Hector J. Logic and the complexity of reasoning [MR 89k:68127]. (see 
92d:03003) 

Lowe, E. J. McTaggart’s paradox revisited. 

Lowe, Victor The first period of the works of Whitehead (ca. 1891-1913): Universal algebra 
and Principia mathematica. 1. (Spanish) 92a:01054 

— The first period of the works of Whitehead. II. (Spanish) 92a:01055 

Luce, L. Literalism and the applicability of arithmetic. 92j:00017 

Luzzatto, Stefano Is philosophy detrimental to mathematics education? 

Maddy, Penelope * Realism in mathematics. 92h:00007 

Matthen, Mohan What sort of science is evolutionary biology? 

McLarty, Colin The uses and abuses of the history of topos theory. 92b:01044 

McLaughlin, Robert N. * On the logic of ordinary conditionals. 92e:03038 

(Meserve, Bruce E.) see Eves, Howard, 92k:00001 

Mignucci, Mario Aristotle’s arithmetic. (see 92c:01010) 

Mormann, Thomas Husserl’s philosophy of science and the semantic approach. 92b:00009 

Moser, Paul K. (with vander Nat, Arnold) The logical status of modal reductionism. 
92d:03013 

Mueller, Ian Aristotle’s approach to the problem of principles in Metaphysics M and N. (see 
92c:01010) 

vander Nat, Arnold see Moser, Paul K., 92d:03013 

(Norman, Jean) see Paraconsistent logic, 92m:03036 

Patzig, Giinther Das Programm von M und seine Ausfiihrung. [The program of M and its 
execution] (see 92c:01010) 

Peckhaus, Volker * Hilbertprogramm und Kritische Philosophie. (German) [The Hilbert 
program and critical philosophy] 92g:01054 

(Plato) see Fine, Gail, (92c:01010) and Burnyeat, M. F., (92c:01010) 

(Priest,Graham) see Paraconsistent logic, 92m:03036 

(Prihonsky, Fr.) see Bolzano, Bernard, 92g:01106 

Quine, Willard Van Orman * Pursuit of truth. 92c:01012 

Radbruch, Knut Mathematik a la Philosophie—Philosophie a la Mathematik: ein his- 
torischer Uberblick. [Mathematics a la philosophy—philosophy a la mathematics: a his- 
torical survey] 92¢e:01008 

Rockingham Gill, R. R. * Deducibility and decidability. 92e:03001 

Roussopoulos, George Analytico-referentiality and legitimation in modern mathematics. 
92a:00025 

(Routley, Richard) see Paraconsistent logic, 92m:03036 

Ruitenburg, Wim B. G. Constructive logic and the paradoxes. 92g:03011 

Ruiz Zuiiga, Angel see Campos, Jeanette, (92e:00013) 

Rutten, Christian Métaphysique M et N. Essai de chronologie relative. [Metaphysics M and 
N: an attempt at a relative chronology] (see 92c:01010) 

Schitz, Riidiger Formalizing falsification: three delete operations. 92g:03015 

Scheibe, Erhard Predication and physical law. 

(Sebestik, Jan) see Bolzano, Bernard, 92g:01106 

(Segura, Luis Felipe) see Bolzano, Bernard, 92g:01106 

Shaw, J. L. Descriptions: contemporary philosophy and the Nyadya. 92e:03003 

Simms, John C. Why the continuum hypothesis is false. 92m:03086 

(Smirnov, Vladimir Aleksandrovich*) see Cavaliere, Fania 

(Spinoza, Baruch) see Campos, Jeanette, (92e:00013) 

Strauss, Daniél F. M. The ontological status of the principle of the excluded middle. 
92j:00019 

Szlezak, Thomas Alexander Die Liickenhaftigkeit der akademischen Prinzipientheorien 
nach Aristoteles’ Darstellung in Metaphysik M und N. [The incompleteness of the 
academic theories of principles following Aristotle’s presentation in Metaphysics M and 
N] (see 92c:01010) 

Teichmann, Roger Future individuals. 

(Thomason, Richmond H.) see Philosophical logic and artificial intelligence, 92d:03003 

Torretti, Roberto * Creative understanding. 92b:00012 

Turner, Raymond Logics of truth. 92b:03014 

Vardi, Moshe Y. see Fagin, Ronald; et al., 92f:68172 

(Vasil’ev, N. A.) see Cavaliere, Fania 

Voitsekhovich, V. E. The formation and development of a mathematical theory. (Russian) 
92m:00015 

Wang, Hao! * Computation, logic, philosophy. 92j:01074 

— To and from philosophy ions with Gédel and Wittgenstein. 92g:00010 

(Whitehead, Alfred North) see Lowe, Victor, 92a:01054 and 92a:01055 

Wilson, George M. Reference and pronominal descriptions. 

(Wittgenstein, Ludwig) see Wittg ds a re-evaluation, 92a:00026a; 92a:00026b; 
92a:00026c and Wang, Hao’, 92g:00010 

Yagisawa, Takashi Possible worlds as shifting domains. 

Yourgrau, Palle * The disappearance of time. 92j:00020 











Items listed otherwise than by author 
Anniversary: 

Birth of Wittgenstein, Ludwig * Wittg i ds a re-eval 

— * Wittgenstein—towards a re-evaluation. II. 92a:00026b 

— * Wittgenstein—towards a re-evaluation. III. 92a:00026c 
Bibliography: 

Frege, Gottlob see Frege, Gottlob, 92f:01038 

Paraconsistency * Paraconsistent logic. 92m:03036 
Biography: 

Leibniz, Gottfried Wilhelm see Leibniz, Gottfried Wilhelm, 92j:01072 
Kirchberg am Wechsel * Wittgenstein—towards a re-evaluation. I. 92a:00026a 
towards a re-evaluation. II. 92a:00026b 
— * Wittgenstein—towards a re-evaluation. III. 92a:00026c 





ion. I. 92a:00026a 





wi 
—_ Wit 2 





61 1992 


Leibniz, Gottfried Wilhelm * G. W. Leibniz (1646-1716). (Spanish) 92m:01004 

Mathematics and metaphysics in Aristotle * Mathematik und Metaphysik bei Aristoteles. 
[Mathematics and metaphysics in Aristotle] 92c:01010 

Mathematik und Metaphysik bei Aristoteles * Mathematik und Metaphysik bei Aristoteles. 
[Mathematics and metaphysics in Aristotle] 92c:01010 

Paraconsistent logic * Paraconsistent logic. 92m:03036 

Philosophical logic and artificial intelligence * Philosophical logic and artificial intelligence. 
924:03003 

Pierre Duhem: historian and philosopher of science * Pierre Duhem: historian and 
philosopher of science. Part II. 92f:01004b 

San Sebastian * Structures in mathematical theories. 92c:00010 

Sigriswil * Mathematik und Metaphysik bei Aristoteles. [Mathematics and metaphysics in 
Aristotle] 92c:01010 

Structures in mathematical theories * Structures in mathematical theories. 92c:00010 

Symposium: 
Aristotle * Mathematik und Metaphysik bei Aristoteles. [Mathematics and metaphysics 

in Aristotle] 92c:01010 
Aristotle’s Metaphysics M(XII1) and N(XIV) * Mathematik und Metaphysik bei 
Aristoteles. [Mathematics and metaphysics in Aristotle] 92c:01010 
in Mathematical Theories * Structures in mathematical theories. 92c:00010 

Wittgenstein * Wittg in—towards a re-evaluation. I. 92a:00026a 
— & Wittg i ds a re-evaluation. II. 92a:00026b 

ion. III. 92a:00026c 











—* Wi i ds a re-eval 
Wittg ; ds a re-evaluation * Wittg ds a re-evaluation. I. 
92a:00026a 


— *& Wittg i ds a re-evaluation. II. 92a:00026b 
Wi i ds a re-evaluation. III. 92a:00026c 


—_ Wittg 














03Bxx General logic 


Items with secondary classifications in 03Bxx 
(McRobbie, Michael A.) see Automated reasoning and nonclassical logics, 92g:03004 
Items listed otherwise than by author 


Automated reasoning and nonclassical logics * Automated reasoning and nonclassical logics. 


92g:03004 
Special Issue: 
Automated reasoning and nonclassical logics * Automated reasoning and nonclassical 
logics. 92g:03004 


03B05 Classical propositional logic 


Chou, Yong Ping Neighboring blocks of Karnaugh blocks. (Chinese) 

Popenda, Jerzy Remark on Gronwall’s inequality. 

Sikié, Zvonimir Premiss tree proofs and logic of contradiction. 92h:03007 

Sindelat, Jan Random generator of formulas of propositional calculus. (see 92g:00030) 
Stetsenko, V. A. A necessary condition for premaximal bases in P). (Russian) 92¢:03008 
Suchoni, Wojciech Counting formulae of propositional calculus. 

Tanaka, Yoshihiro A dual algorithm for the satisfiability problem. 92b:03006 

Varzi, Achille C. Complementary sentential logics. 92b:03007 


Items with secondary classifications in 03B05 


Berger, Marc Aron (with Felzenbaum, Alexander Gersh; Fraenkel, Aviezri S.) Irreducible 
disjoint covering systems (with an application to Boolean algebra). 92c:20037 

Cao, Han Fan A survey of a simplification method for multi-output logical functions. 
(Chinese. English summary) 

Cavalier, Tom M. (with Pardalos, Panos M.; Soyster, Allen L.) Modeling and integer 
programming techniques applied to propositional calculus. 92b:90148 

Demetrovics, Janos (with Ronyai, Lajos; Hua, Nam Son) On the representation of 
dependencies by propositional logic. (see 92b:68010) 

Felzenbaum, Alexander Gersh see Berger, Marc Aron; et al., 92c:20037 

Fraenkel, Aviezri S. see Berger, Marc Aron; et al., 92c:20037 

Franco, John Elimination of infrequent variables improves average case performance of 
satisfiability algorithms. 92j:68012 

Goerdt, Andreas Cutting plane versus Frege proof systems. (see 92d:68007) 

Hua, Nam Son see Demetrovics, Janos; et al., (92b:68010) 

Inoué, Takao A note on Stahl’s opposite system. 92¢:03010 

Knuth, Donald E. Nested satisfiability. 92f:68068 

Pardalos, Panos M. see Cavalier, Tom M.,; et al., 92b:90148 

Petreschi, Rossella (with Simeone, Bruno) Experimental comparison of 2-satisfiability 
algorithms. (French summary) 

Plattner, August Zusammenhang zwischen der Theorie F der Faktorenimplikation und 
der Theorie der Zylinderalgebren, Reduktion der Vollstandigkeit der Axiome von F. 
[Connection between the theory F of factorial implication and the theory of cylindric 
algebras; reduction of the completeness of the axioms of F] 92h:03093 

Rényai, Lajos see Demetrovics, Janos; et al., (92b:68010) 

Schatz, Riidiger Formalizing falsification: three delete operations. 92g:03015 

Simeone, Bruno see Petreschi, Rossella 

Soyster, Allen L. see Cavalier, Tom M.; et al., 92b:90148 

Stachniak, Zbigniew Minimization of resolution proof systems. 92g:03018 

Stépan, Jan Propositional calculus proving methods in Prolog. (Russian and Czech 
summaries) 

Stetsenko, V. A. A classification of Post classes. (Russian) 92a:06016 

Stormer, Horand * Binary functions and their applications. 92i:06023 

Tang, Chuan Yi see Wa, L. C. 

Wos, Larry Meeting the challenge of fifty years of logic. 92e:03014 

Wu, L.C. (with Tang, Chuan Yi) Solving the satisfiability problem by using randomized 
approach. 

Zhang, Yan Zhong Minimisation of exclusive-OR logic functions. 92f:94033 


03B General logic 


03B10 Classical first-order logic 


Deutsch, Michael Weitere Verscharfungen zu den Reduktionstypen V3™V(0, 1), 
3°¥33(0, 1), V33(0o, 1). [Further sharpenings for the reduction types V3~°v(0, 1), 
3™33(0, 1), V35(0o, 1)] 92e:03009 

Inoué, Takao A note on Stahl’s opposite system. 92¢:03010 

King, Jeffrey C. Instantial terms, anaphora and arbitrary objects. 92a:03007 

Kirin, Viadimir G. On predicative tautologies. 92h:03008 

Leblanc, Hugues see Weaver, George; et al., 92b:03008 

Pkhakadze, V.Sh. The size of contracted forms. (Russian. English and Georgian sum- 
maries) 92a:03008 

— Theorems on d- and a-processes. (Russian. English and Georgian summaries) 92a:03009 

— Classification of contracting operators based on the results of the application on them of 
their definitions. (Russian. English and Georgian summaries) 92f:03004 

Stepieti, Teodor First-order theories without axioms. 92e:03011 

— Single-axiom systems. 92h:03009 

Thau, Michael see Weaver, George; et al., 92b:03008 

Weaver, George (with Thau, Michael; Leblanc, Hugues) Extending w-consistent sets to 
maximally consistent, w-complete sets. 92b:03008 


Items with secondary classifications in 03B10 

Anellis, Irving H. From semantic tableaux to Smullyan trees: a history of the development 
of the falsifiability tree method. 92a:03001 

Boolos, George Zooming down the slippery slope. 92j:03001 

Carnes, Robert D. (with Peterson, Philip L.) Intermediate quantifiers versus percentages. 
92m:03027 

(Ginisti, Jean-Pierre) see Schénfinkel, M., 92f:03013 

Grygiel, Joanna Absolutely independent sets of generators of filters in Boolean algebras. 
92a:03077 

Haikowska, Katarzyna A note on matrices for systems of nonsense-logics. 92b:03028 

Kolaitis, Phokion G. (with Papadimitriou, Christos H.) Some computational aspects of 
circumscription. 92b:03013 

Krynicki, Michal (with Szczerba, Leslaw W.) On simplicity of formulas. 924:03006 

(Leibniz, Gottfried Wilhelm) see Mugnai, Massimo, 924:03001 

Malitz, Jerome (with Mycielski, Jan; Reinhardt, William N.) The axiom of choice, the 
Léwenheim-Skolem theorem and Borel models. 92m:03079a 

— (with Mycielski, Jan; Reinhardt, William N.) Erratum to the paper: “The axiom of 
choice, the Léwenheim-Skolem th and Borel models”. 92m:03079b 

Mugnai, Massimo A systematical approach to Leibniz’s theory of relations and relational 
sentences. 92d:03001 

Mycielski, Jan see Malitz, Jerome; et al., 92m:03079a and 92m:03079b 

Papadimitriou, Christos H. see Kolaitis, Phokion G., 92b:03013 

Patton, Thomas E. On the ontology of branching quantifiers. 92f:03033 

Peterson, Philip L. see Carnes, Robert D., 92m:03027 

Reinhardt, William N. see Malitz, Jerome; et al., 92m:03079a and 92m:03079b 

Rudeanu, Sergiu * On deduction theorems and functional Boolean equations. 92j:06020 

Sato, Masahiko An abstraction mechanism for symbolic expressions. (see 92f:68002) 

Schatz, Riidiger Formalizing falsification: three delete operations. 92g:03015 

Schinfinkel, M. Sur les éléments de construction de la logique mathématique. (English 
summary) [On the building blocks of mathematical logic] 92f:03013 

Slater, B. H. Descriptive opacity. 

Szezerba, Lestaw W. see Krynicki, Michal, 924:03006 

(Thayse, André) see From standard logic to logic programming, 92b:68058 

(Vandevelde, Genevieve) see Schénfinkel, M., 92f:03013 





Items listed otherwise than by author 


From standard logic to logic programming * From standard logic to logic programming. 
92b:68058 


03B15 Higher-order logic and type-theory 


Jacobs, Bart (with Moggi, Eugenio; Streicher, Thomas) Relating models of impredicative 
type theories. (see 92g:68005) 

Longo, Giuseppe! (with Moggi, Eugenio) Constructive natural deduction and its “-set” 
interpretation. 92j:03004 

Moggi, Eugenio see Longo, Giuseppe’ , 92j:03004 and Jacobs, Bart; et al., (92g:68005) 

Song, Fang Min Studies on negation in intuitionistic type theory. (Chinese. English 
summary) 92g:03009 

Streicher, Thomas see Jacobs, Bart; et al., (92g:68005) 

Umezawa, Toshio An extension of intermediate predicate logics to higher order. 92g:03010 


Items with secondary classifications in 03B15 

Arnborg, Stefan (with Proskurowski, Andrzej; Seese, Detlef) Monadic second order logic, 
tree automata and forbidden minors. (see 924:68007) 

Chuaqui, Rolando see Marshall, M. Victoria, 92j:03036 

Courcelle, Bruno On the expression of monadic second-order graph properties without 
quantifications over sets of edges (extended abstract). (see 92b:68007) 

— The monadic second-order logic of graphs. V. On closing the gap between definability and 
recognizability. 92m:68061 

Crole, Roy L. (with Pitts, Andrew M.) New foundations for fixpoint computations. (see 
92b:68007) 

Forster, Thomas Permutations and stratified formulae—a preservation theorem. 92a:03070 

Gradel, Erich The expressive power of second-order Horn logic. 92c:03045 

Jouannaud, Jean-Pierre (with Kirchner, Claude) Solving equations in abstract algebras: a 
rule-based survey of unification. (see 92d:03002) 

Kirchner, Claude see Jouannaud, Jean-Pierre, (92d:03002) 

Lambek, Joachim Categorical versus algebraic logic. (see 92m:03003) 

Leivant, Daniel Computationally based set existence principles. 92c:03061 

Maehara, Shéji Lattice-valued representation of the cut-elimination theorem. 92k:03024 

Maibaum, Thomas S. E. see de Queiroz, Ruy J. G. B., 92a:68090 





03B15 


Marshall, M. Victoria (with Chuaqui, Rolando) Sentences of type theory: the only 
sentences preserved under isomorphisms. 92j:03036 

McLarty, Colin Stable surjection logic. (French summary) 92a:03079 

Mendler, Paul see Panangaden, Prakash; et al., 92e:68115 

Mostowski, A. W. Hierarchies of weak automata and weak monadic formulas. 92h:03055 

Panangaden, Prakash (with Mendler, Paul; Schwartzbach, Michael I.) Recursively defined 
types in constructive type theory. 92e:68115 

Pitts, Andrew M. see Crole, Roy L., (92b:68007) 

Proskurowski, Andrzej see Arnborg, Stefan; et al., (92d:68007) 

de Queiroz, Ruy J.G.B. (with Maibaum, Thomas S. E.) Proof theory and computer 
programming. 922:68090 

Schwartzbach, Michael I. see Panangaden, Prakash; et al., 92e:68115 

Seese, Detlef see Arnborg, Stefan; et al., (92d:68007) 

Serebryannikov, O. F. An elementary proof of the cut-elimination theorem in second-order 
logic. (Russian) 924:03042 

Thomas, Wolfgang On logics, tilings, and automata. (see 92g:68004) 

Tiuryn, Jerzy Type inference problems: a survey. 92c:68131 


03B20 Subsystems of classical logic (including intuitionistic 
logic) 

Font i Liovet, Josep Ma. (with Verdi, Ventura) Algebraic logic for some nonprotoalgebraiz- 
able logics. (see 92m:03003) 

Herrmann, B. (with Rautenberg, Wolfgang) Axiomatization of the De Morgan type rules. 
92a:03010 

Klunder, Barbara Topos based semantics for constructive logic with strong negation. 
92b:03009 

Lukowski, Piotr Intuitionistic sentential calculus with classical identity. 92c:03008 

Mints, Grigorii Efroimovich Normalization theorems for the intuitionistic systems with 
choice principles. 92e:03012 

Nerode, Anil Some lectures on intuitionistic logic. 92a:03011 

Peterson, Philip L. Complexly fractionated syllogistic quantifiers. 92h:03010 

Rautenberg, Wolfgang see Herrmann, B., 92a:03010 

Ruitenburg, Wim B. G. Constructive logic and the paradoxes. 92g:03011 

Rybakov, V. V. Criteria for the admissibility of inference rules with parameters in 
intuitionistic propositional calculus. (Russian) 92a:03012 

Skura, Tomasz A complete syntactical characterization of the intuitionistic logic. 92c:03009 

Thom, Paul The two Barbaras. 92m:03010 

Varpakhovskii, F. L. On the axiomatization of realizable propositional formulas. (Russian) 
92h:03011 

Verdi, Ventura see Font i Llovet, Josep Ma., (92m:03003) 


Items with secondary classifications in 03B20 

(Aristotle) see Bogen, James 

Artémov, S. N. Kolmogorov’s logic of problems and a provability interpretation of 
intuitionistic logic. 92c:03015 

Bogen, James Aristotelian contraries. 

(Brouwer, Luitzen Egbertus Jan) see van Stigt, Walter P., 92d:01054 

Couture, Jocelyne (with Lambek, Joachim) Philosophical reflections on the foundations of 
mathematics. 92c:03004 

— (with Lambek, Joachim) Erratum: “Philosophical reflections on the foundations of 
mathematics” [Erkenntnis 34 (1991), no. 2, 187-209; MR 92c:03004]. 

Dogen, Kosta Normal modal logics in which the Heyting propositional calculus can be 
embedded. 92e:03020 

— Addenda and corrigenda to: “Sequent-systems and groupoid models. I” [Studia Logica 47 
(1988), no. 4, 353-385; MR 90g:03029]. 924:03015 

Felty, Amy Encoding dependent types in an intuitionistic logic. (see 92f:68003) 

Gabbay, Dov M. Algorithmic proof with diminishing resources. I. (see 92d:68007) 

Garcia Lapresta, José Luis Study of various algebraizable implicational logical calculi. 
(Spanish. English summary) (see 92m:00048) 

Hacker, Edward A. see Parry, William T., 92h:03002 

Hirokawa, Sachio BCK-formulas having unique proofs. (see 92g:68005) 

Inoué, Takao Some type of formulas and the faithfulness of Flagg and Friedman’s 
translation. 

(Korteweg, D. J.) see van Stigt, Walter P., 92d:01054 

Lambek, Joachim see Couture, Jocelyne, 92c:03004 

Longo, Giuseppe! (with Moggi, Eugenio) Constructive natural deduction and its “w-set” 
interpretation. 92j:03004 

Moggi, Eugenio see Longo, Giuseppe’ , 92j:03004 

Nepeivoda, N. N. On constructive logics. (Russian) 92a:03042 

Parry, William T. (with Hacker, Edward A.) * Aristotelian logic. 92h:03002 

Rodriguez Salas, Antonio Jestis Subvarieties of Hilbert algebras. (Spanish) 92d:03044 

Rybakov, V. V. Probl of substitution and admissibility in the modal system Grz and in 
intuitionistic propositional calculus. 92a:03026 

— Decidability of logical equations in the modal system Grz and in intuitionistic logic. 
(Russian) 92m:03011 

Shin, Sun-Joo A situation-theoretic account of valid reasoning with Venn diagrams. (see 
92m:68006) 

Sikié, Zvonimir Premiss tree proofs and logic of contradiction. 92h:03007 

van Stigt, Walter P. * Brouwer’s intuitionism. 924:01054 

Urbas, Igor On subsystems of the system J, of Arruda and da Costa. 92g:03039 

Wos, Larry Meeting the challenge of fifty years of logic. 92e:03014 





03B22 Abstract deductive systems 


Avron, Arnon Simple consequence relations. 92f:03005 
Gavrilenko, Yu. V. The structure of principal logical computations and the expansion of 
idempotents. (Russian) 92h:03012 


MATHEMATICAL LOGIC AND FOUNDATIONS 


1992 62 


Jahns, C. (with Rautenberg, Wolfgang) Correction to: “Common logic of binary connec- 
tives has finite maximality degree (preliminary report)” [Polish. Acad. Sci. Inst. Philos. 
Sociol. Bull. Sect. Logic 19 (1990), no. 2, 36-38]. 

Malinowski, Grzegorz Q-consequence operation. 92c:03010 

Miller, David William An open problem in Tarski’s calculus of deductive systems. 

Nowak, Marek (with Rydzewski, Piotr) On a generalized inference operation. (Polish 
summary) 92g:03012 

Rautenberg, Wolfgang see Jahns, C. 

Rydzewski, Piotr see Nowak, Marek, 92g:03012 

Sikié, Zvonimir Closure operators and consequence relations. 924:03004 

— A proof of the characterization theorem for consequence relations. 

Stepieti, Teodor Minimal systems. 92b:03010 

Zuber, Ryszard Régles d’extensionalité en grammaire catégorielle. (English summary) 
[Rules of extensionality in categorial grammar] 92h:03013 


Items with secondary classifications in 03B22 


Fuhrmann, André Theory contraction through base contraction. 92g:03013 

Nowak, Marek Logics preserving degrees of truth. 92h:03030 

Pritchard, Paul Algorithms for finding matrix models of propositional calculi. 92h:03016 
Siki¢, Zvonimir Premiss tree proofs and logic of contradiction. 92h:03007 

Stachniak, Zbigniew Minimization of resolution proof systems. 92g:03018 

Stepieri, Teodor Single-axiom systems. 92h:03009 


03B25 Decidability of theories and sets of sentences 
[see also 11U05, 12L05, 20F10] 


Bayasgalan, B. Decidability of the @-V-theory of quasi-ordered sets. (Russian) 92f:03006 

Cantone, D. (with Cutello, V.; Schwartz, Jacob T.) Decision problems for Tarski and 
Presburger arithmetics extended with sets. (see 92d:68007) 

— Decision procedures for elementary sublanguages of set theory. X. Multilevel syllogistic 
extended by the singleton and powerset operators. 92j:03005 

— (with Schwartz, Jacob T.) Decision procedures for elementary sublanguages of set theory. 
XI. Multilevel syllogistic extended by some elementary map constructs. 92j:03006 

Comon, Hubert Complete axiomatizations of some quotient term algebras. (see 92g:68004) 

Cutello, V. see Cantone, D.; et al., (92d:68007) 

Ferro, Alfredo Decision procedures for elementary sublanguages of set theory. XII. 
Multilevel syllogistic extended with singleton and choice operators. 92j:03007 

Gridel, Erich Satisfiability of formulae with one V is decidable in exponential time. 
92a:03013 

Kiinzi, Urs-Martin Decidable theories of pseudo-p-adically closed fields. (Russian) 
924:03005 

Makowsky, J. A. see Tiomkin, Michael, 92i:03009 

Parlamento, Franco (with Policriti, Alberto) Decision procedures for elementary sublan- 
guages of set theory. XIII. Model graphs, reflection and decidability. 92j:03008 

Policriti, Alberto see Parlamento, Franco, 92j:03008 

Prestel, A. (with Schmid, Joachim) Decidability of the rings of real algebraic and p-adic 
algebraic integers. 92k:03005 

Rybakov, V. V. Decidability of logical equations in the modal system Grz and in intuitionis- 
tic logic. (Russian) 92m:03011 

Schmid, Joachim see Prestel, A., 92k:03005 

Schwartz, Jacob T. see Cantone, D., 92j:03006 and (924:68007) 

Terrier, Véronique Decidability of the existential theory of the set of natural numbers with 
order, divisibility, power functions, power predicates, and constants. 92f:03007 

Tiomkin, Michael (with Makowsky, J. A.) Decidability of finite probabilistic propositional 
dynamic logics. 92i:03009 


Items with secondary classifications in 03B25 

Borodin, Allan (with Tiwari, Prasoon) On the decidability of sparse univariate polynomial 
interpolation. 92f:12016 

Brady, Ross T. Gentzenization and decidability of some contractionless relevant logics. 
92j:03017 

Bronstein, Manuel Computer algebra and indefinite integrals. 92a:12011 

Comon, Hubert Solving inequations in term algebras (extended abstract). (see 92b:68007) 

Dauchet, Max (with Tison, Sophie) The theory of ground rewrite systems is decidable. (see 
92b:68007) 

Fermiiller, Christian A resolution variant deciding some classes of clause sets. (see 
92d:68007) 

Gottlob, G. see Leitsch, A., 92f:68103 

Idziak, Pawet M. Sheaves in universal algebra and model theory. I. 92g:08010a 

(Jacquette, Dale) see Presburger, Mojzesz, 92i:03003 

Jouannaud, Jean-Pierre (with Okada, Mitsuhiro) Satisfiability of systems of ordinal 
notations with the subterm property is decidable. (see 92g:68004) 

Kutzler, Bernhard Deciding a class of Euclidean geometry theorems with Buchberger’s 
algorithm. 92c:51029 

Leitsch, A. (with Gottlob, G.) Deciding Horn clause implication problems by ordered 
semantic resolution. 92f:68103 

Macintyre, Angus Schanuel’s conjecture and free exponential rings. 92d:11071 

Madlener, K. (with Otto, Friedrich) Decidable sentences for context-free groups. 
92c:68096 

Marché, Claude On ground AC-completion. 92¢:68170 

Nurtazin, A. T. Nonformula extensions of decidable weak monadic second-order theories. 
(Russian) 92e:03055 

Okada, Mitsuhiro see Jouannaud, Jean-Pierre, (92g:68004) 

Otto, Friedrich see Madlener, K., 92c:68096 

Presburger, Mojzesz On the completeness of a certain system of arithmetic of whole 
numbers in which addition occurs as the only operation. 92i:03003 

Prestel, A. (with Schmid, Joachim) Existentially closed domains with radical relations: an 
axiomatization of the ring of algebraic integers. 92c:12014 

Reed, Robert C. A decidable Ehrenfeucht theory with exactly two hyperarithmetic models. 
92g:03057 





63 1992 


Sakalauskaité, Jaraté (with Valiev, M.K.) Completeness of propositional dynamic logic 
with infinite repeating. 92k:03012 

Sapir, M. V. Weak word p for finite 

Schmid, Joachim see Prestel, A., 92c:12014 

Tetruashvili, M. R. The decision complexity of the class of formulas of quantifier-free 
set theory with the power set operator. (Russian. English and Georgian summaries) 
92:03055 

Thomas, Wolfgang On logics, tilings, and automata. (see 92g:68004) 

Tison, Sophie see Dauchet, Max, (92b:68007) 

Tiwari, Prasoon see Borodin, Allan, 92f:12016 

Umirbaev, U. U. The word problem for metabelian right-alternative algebras. (Russian) 
92b:17058 

Valiev, M. K. see Sakalauskaité, Jaraté, 92k:03012 

Vorob’ev, N. N., Jr. Deciding the consistency of a system of inequalities that are polynomial 
in the exponential in subexponential time. (Russian. English summary) 92c:68076 

Wanke, Egon On the decidability of integer subgraph problems on context-free graph 
languages. (see 92g:68007) 

Zhang, Luo Xin Conjugacy in special monoids. 92k:20109 

— A short proof of a theorem of Adjan. 92k:20110 





92h:20085 


vey 


03B30 Foundations and axiomatics of classical theories 


Arntzenius, Frank State-spaces and meaning relations among predicates. 

Barnes, Eric Beyond verisimilitude: a linguistically invariant basis for scientific progress. 

Burgess, John P. Synthetic mechanics revisited. 92f:03008 

Chuaqui, Rolando (with Suppes, Patrick) An equational deductive system for the differen- 
tial and integral calculus. 92f:03009 

Cushing, James T. Quantum theory and explanatory discourse: endgame for understanding? 

Forster, Malcolm Preconditions of predication: from qualia to quantum mechanics. 

Fuhrmann, André Theory contraction through base contraction. 92g:03013 

Geiger, Gebhard Intertheory relations from unified theories. 92g:03014 

Hansson, Sven Ove New operators for theory change. 92i:03010 

Healey, Richard A. Holism and nonseparability. 

Kaiser, Matthias From rocks to graphs—the shaping of phenomena. 

Krueger, Franz R. Non-Boolean logic of the theory of evolutionary science. (see 92f:00011) 

Krynicki, Michal (with Szczerba, Leslaw W.) On simplicity of formulas. 92d:03006 

Kuokkanen, Martti A critical comment on Nowak’s recent view on idealization and 
concretization of scientific laws—a discussion note. 

Laudan, Larry (with Leplin, Jarrett) Empirical equivalence and underdetermination. 

Lauth, Bernhard Theory evolution and ref kinematics. 92i:03011 

Lavine, Shaughan Is quantum mechanics an atomistic theory? 

Leplin, Jarrett see Laudan, Larry 

Matthen, Mohan What sort of science is evolutionary biology? 

Nisenboim, L. B. Logic of metric time relations. (Russian) 92k:03006 

Radder, Hans Heuristics and the generalized correspondence principle. 92h:03014 

Schitz, Riidiger Formalizing falsification: three delete operations. 92g:03015 

Scheibe, Erhard Predication and physical law. 

Schlechta, Karl Theory revision and probability. 92g:03016 

Suppes, Patrick see Chuaqui, Rolando, 92f:03009 

Szczerba, Leslaw W. see Krynicki, Michal, 92d:03006 

Szymanek, Krzysztof Information functions with applications. 92a:03014 

Turney, Peter A note on Popper’s equation of simplicity with falsifiability. 

Weston, Thomas Approximate truth and scientific realism. 

Woletiski, Jan On comparison of theories by their contents. 92b:03011 

Zahar, Elie Natural axiomatization: a revision of “Wajsberg’s requirement”. 





Items with secondary classifications in 03B30 


Azzouni, Jody A simple axiomatizable theory of truth. 92h:03004 

Batterman, Robert W. Chaos, quantization, and the correspondence principle. 92i:81063 

Beju, Iulian (with Sods, Eugen) Un modéle de type Toupin-Noll de l’univers des 
événements. [A model of Toupin-Noll type of the universe of events] 92c:70005 

da Costa, Newton C. A. (with Doria, F. A.) Classical physics and Penrose’s thesis. 
92g:03063 

— (with Doria, F. A.) Undecidability and incompleteness in classical mechanics. 92h:03065 

Dalla Chiara, Maria Luisa Intensions, probabilities, and logical indeterminism in the 
semantics of quantum theory. 92k:03029 

Detlefsen, Michael On an alleged refutation of Hilbert’s program using Gédel’s first 
incompleteness theorem. 92b:03057 

(Diez, A.) see Structures in mathematical theories, 92c:00010 

Doria, F. A. see da Costa, Newton C. A., 92g:03063 and 92h:03065 

Drescher, Gary L. Demystifying quantum mechanics: a simple universe with quantum 
uncertainty. 92f:81018 

(Echeverria, J.) see Structures in mathematical theories, 92c:00010 

Frege, Gottlob * Die Grundlagen der Arithmetik. (German) [The foundations of 
arithmetic] 92f:01039 

Garola, Claudio An extended classical language for the foundation of quantum mechanics. 
92j:81012 

Gurevié, R. Equational theory of positive numbers with exponentiation is not finitely 
axiomatizable. 92h:03039 

Guts, A. K. A topos-theoretic approach to the foundations of relativity theory. (Russian) 
92m:83083 

Holland, Robert A. Kant, Reichenbach, and aprioricity. 

(Ibarra, Andoni) see Structures in mathematical theories, 92c:00010 

Madguerova, Andreana Stefanova * On time’s models of mathematical physics. 

Oliver, M. A. Quantum calculations in a unique rest frame. 92h:81028 

Pambuccian, Victor Correction to: “Unit distance as single binary predicate for plane 
Euclidean geometry” [Zeszyty Nauk. Geom. 18 (1990), 5-8; MR 91j:51025]. 

Peckhaus, Volker * Hilbertprogramm und Kritische Philosophie. (German) [The Hilbert 
program and critical philosophy] 92g:01054 

(Reichenbach, Hans) see Holland, Robert A. 


03B General logic 


03B35 


Scheibe, Erhard Struktur und Theorie in der Physik. [Structure and theory in physics] (see 
92e:83001) 

Siki¢, Zvonimir On Devidé’s axiomatization of natural numbers. 92m:03092 

Sinha, Sukanya (with Sorkin, Rafael D.) A sum-over-histories account of an EPR(B) 
experiment. 92m:81016 

Sods, Eugen see Beju, Iulian, 92c:70005 

Sorkin, Rafael D. see Sinha, Sukanya, 92m:81016 

Stigum, Bernt P. * Toward a formal science of economics. 92g:90005 

Torretti, Roberto * Creative understanding. 92b:00012 


Items listed otherwise than by author 


San Sebastian * Structures in mathematical theories. 92c:00010 
Structures in mathematical theories * Structures in mathematical theories. 92c:00010 
Symposium: 

Structures in Mathematical Theories * Structures in mathematical theories. 92c:00010 


03B35 Mechanization of proofs and logical operations 
[see also 68T15] 


Bollen, A. W. Relevant logic programming. 92h:03015 

Boudet, Alexandre (with Contejean, Evelyne; Devie, Hervé) A new AC unification 
algorithm with an algorithm for solving systems of Diophantine equations. (see 
92b:68007) 

Contejean, Evelyne see Boudet, Alexandre; et al., (92b:68007) 

De Bosschere, Koen The use of clause forms and resolution for proving validity. 92e:03613 

Devie, Hervé see Boudet, Alexandre; et al., (92b:68007) 

Fermiiller, Christian A resolution variant deciding some classes of clause sets. (see 
92d:68007) 

Gabbay, Dov M. Algorithmic proof with diminishing resources. I. (see 924:68007) 

Gao, Xiao Shan Transcendental functions and mechanical theorem proving in elementary 
geometries. 92f:03010 

Goldwasser, Shafi Interactive proofs and applications. (see 92m:00054) 

Grigor’ev, D. Yu. see Vorob/ev, N. N., Jr., 92g:03019 

Hernandez Fernandez, Ma. Luisa Teresa Automatic proof in modal logic. (Spanish) (see 
92g:00024) 

Hodgson, Bernard R. Logiques classique et non classiques: les fondements théoriques du 
raisonnement automatisé. (English summary) [Classical and nonclassical logics: the 
theoretical foundations of automated reasoning] 92f:03011 

Hsiang, Jieh (with Rusinowitch, Michael) Proving refutational completeness of theorem- 
proving strategies: the transfinite semantic tree method. 92m:03012 

Huang, Ming Applications of barycentric coordinates in mechanical proofs of theorems in 
geometry. (Chinese. English summary) 92g:03017 

Jouannaud, Jean-Pierre (with Kirchner, Claude) Solving equations in abstract algebras: a 
rule-based survey of unification. (see 92d:03002) 

Kapur, Deepak (with Zhang, Hantao) A case study of the completion procedure: proving 
ring commutativity problems. (see 92d:03002) 

Kirchner, Claude From unification in combination of equational theories to a new AC- 
unification algorithm. 92b:03012 

— see also Jouannaud, Jean-Pierre, (92d:03002) 

Kolaitis, Phokion G. (with Papadimitriou, Christos H.) Some computational aspects of 
circumscription. 92b:03013 

Lusk, Ewing see Wos, Larry; et al., (92d:03002) 

Lyaletskii, A. V. (with Yurchishin, V. V.) On a complete extension of input refutation. 
(Russian. English summary) 92c:03011 

Ohlbach, Hans Jiirgen (with Siekmann, Jérg H.) The Markgraf Karl refutation procedure. 
(see 92d:03002) 

Overbeek, Ross see Wos, Larry; et al., (92d:03002) 

Papadimitriou, Christos H. see Kolaitis, Phokion G., 92b:03013 

Petermann, Uwe Towards a connection procedure with built in theories. 92k:03007 

Pritchard, Paul Algorithms for finding matrix models of propositional calculi. 92h:03016 

Quaife, Art Automated deduction in von Neumann-Bernays-Gédel set theory. 92m:03013 

Rasiowa, Helena Mechanical proof systems for logic: reaching consensus by groups of 
intelligent agents. 92c:03012 

Rusinowitch, Michael see Hsiang, Jieh, 92m:03012 

Sanchez-Mazas, Miguel Errata: “Identification and analysis of equivalence classes of modal 
logic by numerical invariants” [Logique et Anal. (N.S.) 30 (1987), no. 120, 401-439; MR 
90m:03025]. (French) 92a:03015 

Siekmann, Jérg H. see Ohibach, Hans Jiirgen, (92d:03002) 

Slaney, John K. The Ackermann constant theorem: a computer-assisted investigation. 
92j:03009 

Stachniak, Zbigniew Minimization of resolution proof systems. 92g:03018 

Tang, Chuan Yi see Wu, L.C. 

Vorob/ev, N. N., Jr. (with Grigor’ev, D. Yu.) Determination of the connectivity components 
of a semi-algebraic set in subexponential time. (Russian. English summary) 92g:03019 

Whiteley, Walter Invariant computations for analytic projective geometry. 92k:03008 

Wos, Larry Meeting the challenge of fifty years of logic. 92e:03014 

— (with Overbeek, Ross; Lusk, Ewing) Subsumption, a sometimes undervalued procedure. 
(see 92d:03002) 

Wu, L.C. (with Tang, Chuan Yi) Solving the satisfiability problem by using randomized 
approach. 

Wu, Wen Jun A mechanization method of geometry and its applications. IV. Some 
theorems in planar kinematics. 92j:03010 

— Mechanical theorem proving of differential geometries and some of its applications in 
mechanics. 92h:03017 

Yang, Lu A new method of automated theorem proving. (see 92h:00013) 

Yurchishin, V. V. see Lyaletskii, A. V., 92c:03011 

Zhang, Hantao see Kapur, Deepak, (92d:03002) 


Items with secondary classifications in 03B35 
Ahn, René see Helmink, Leen, (92f:68003) 








03B35 


Aitken, William E. see Allen, Stuart F.; et al., (92b:68007) 

Albert, Luc (with Casas, Rafael; Fages, Francois; Torrecillas, A.; Zimmermann, Paul) 
Average case analysis of unification algorithms. 92e:68064 

Allen, Stuart F. (with Constable, Robert L.; Howe, Douglas J.; Aitken, William. E.) The 
semantics of reflected proof. (see 92b:68007) 

Alonso, J. A. see Chazarain, J.; et al., 92g:03032 

Anantharaman, Siva (with Bonacina, Maria Paola) An application of automated equational 
reasoning to many-valued logic. (see 92g:68076) 

Anellis, Irving H. From semantic tableaux to Smullyan trees: a history of the development 
of the falsifiability tree method. 92a:03001 

Auffray, Yves (with Enjalbert, Patrice; Hebrard, Jean-Jacques) Strategies for modal 
resolution: results and problems. 92e:03016 

Avenhaus, J. Proving equational and inductive theorems by completion and embedding 
techniques. 92c:68162 

Baader, Franz Unification, weak unification, upper bound, lower bound, and generalization 
problems. 92c¢:68081 

— (with Nutt, Werner) Adding homomorphisms to commutative/monoidal theories, or 
How algebra can help in equational unification. 92c:68163 

Bachmair, Leo (with Ganzinger, Harald) Completion of first-order clauses with equality by 
strict superposition (extended abstract). (see 92g:68076) 

Baker, James D. (with Zand-Biglari, Shahriar) An integral theorem prover and the role of 
proof planning. 

Basin, David (with Kaufmann, Matt) The Boyer-Moore prover and Nupril: an experimental 
comparison. (see 92f:68003) 

Bayerl, S. see Letz, R.; et al. 

Bellare, Mihir (with Goldreich, Oded; Goldwasser, Shafi) Randomness in interactive 
proofs. 92j:68102 

Bertling, Hubert Knuth-Bendix completion of Horn clause programs for restricted linear 
resolution and paramodulation. (see 92g:68076) 

Bevers, Eddy (with Lewi, Johan) Proof by consistency in conditional equational theories. 
(see 92g:68076) 

Bhatt, K.S.H.S.R. (with Karnick, Harish) A resolution rule for well-formed formulae. 
92f:68150 

Bibel, W. see Letz, R.; et al. 

Binot, Jean-Louis (with Bruffaerts, Albert; Delsarte, Philippe; Dubois, Eric; Dupont, Pierre; 
Hagelstein, Jacques; Henin, Eric; Kamp, Yves; van Lamsweerde, Axel; van der Linden, 
Frank; Miiller, Jean-Pierre; Rifaut, André; Snyers, Dominique; Thayse, André) * From 
natural language processing to logic for expert systems. 92k:68107 

Bledsoe, Woodrow W. Interactive proof presentation. (see 92d:03002) 

Bonacina, Maria Paola (with Hsiang, Jich) Completion procedures as semidecision 
procedures. (see 92g:68076) 

— (with Hsiang, Jieh) On fairness of completion-based theorem proving strategies. 
92c:68164 

— see also Anantharaman, Siva, (92g:68076) 

Bosco, Pier Giorgio (with Giovannetti, Elio; Moiso, Corrado; Palamidessi, Catuscia) 
Comments on: “Logic programming with equations” [J. Logic Programming 4 (1987), no. 
4, 265-288; MR 89d:68080] by M. H. van Emden and K. Yukawa. 92c¢:68177 

Bose, Soumitra (with Clarke, Edmund M.; Long, David E.; Michaylov, Spiro) Parthenon: a 
parallel theorem prover for non-Horn clauses. 

Boyer, Robert S. (with Goldschlag, David M.; Kaufmann, Matt; Moore, J. Strother) 
Functional instantiation in first-order logic. 92m:68102 

Briales, E. see Chazarain, J.; et al., 92g:03032 

Bruffaerts, Albert see Binot, Jean-Louis; et al., 92k:68107 

Bubnicki, Zdzislaw On the logic algebra approach to the knowledge based problem solving. 
92m:68108 

Bundy, Alan A science of reasoning. (see 92d:03002) 

Burstall, Red M. Computer assisted proof for mathematics: an introduction using the 
LEGO proof system. (see 92h:00013) 

Caferra, Ricardo (with Zabel, Nicolas) Extending resolution for model construction. 
92a:68130 

Cantone, D. Decision procedures for elementary sublanguages of set theory. X. Multilevel 
syllogistic extended by the singleton and powerset operators. 92j:03005 

— (with Schwartz, Jacob T.) Decision procedures for elementary sublanguages of set theory. 
XI. Multilevel syllogistic extended by some elementary map constructs. 92j:03006 

Casas, Rafael see Albert, Luc; et al., 92e:68064 

Chazarain, J. (with Riscos, A.; Alonso, J. A.; Briales, E.) Multi-valued logic and Grébner 
bases with applications to modal logic. 92g:03032 

Chen, Wen Tsuen (with Fang, Ming Yi) An efficient procedure for theorem proving in 
propositional logic on vector computers. 92i:68142 

Chon, Shang-Ching (with Schelter, William F.; Yang, Jin Gen) Characteristic sets and 
Grdébner bases in geometry theorem proving. 92a:68131 

Clarke, Edmund M. see Bose, Soumitra; et al. 

Clivio, A. Algorithmic aspects of Z[x;,---,X,] with applications to tiling problems. 
92j:13024 

Cohen, Dave (with Watson, Philip) An efficient representation of arithmetic for term 
rewriting. 92¢:68088 

Comon, Hubert Disunification: a survey. (see 92d:03002) 

Constable, Robert L. (with Howe, Douglas J.) Implementing metamathematics as an 
approach to automatic theorem proving. 92d:68102 

— (with Murthy, Chetan R.) Finding computational content in classical proofs. (see 
921:68003) 

— see also Allen, Stuart F.; et al., (92b:68007) 

Darlington, John (with Guo, Yi Ke) Constrained equational deduction. (see 92g:68076) 

Delsarte, Philippe see Binot, Jean-Louis; et al., 92k:68107 

Dershowitz, Nachum A maximal-literal unit strategy for Horn clauses. (see 92g:68076) 

Devie, Hervé Linear completion. (see 92g:68076) 

Doggaz, Narjes (with Kirchner, Claude) Completion for unification. 92i:68143 

Domenjoud, Eric AC unification through order-sorted ACI unification. 92¢:68165 

Dubois, Eric see Binot, Jean-Louis; et al., 92k:68107 

Duffy, David A. * Principles of automated theorem proving. 92i:68144 


MATHEMATICAL LOGIC AND FOUNDATIONS 


Dupont, Pierre see Binot, Jean-Louis; et al., 92k:68107 

ten Eikelder, H.M. M. (with Wilmont, J.C. F.) Normal forms for a class of formulas. 
92k:68048 

Eisinger, Norbert (with Ohibach, Hans Jigen; Priacklein, Axel) Reduction rules for 
resolution-based systems. 92f:68151 

(van Emden, Maarten H.) see Bosco, Pier Giorgio; et al., 92c:68177 

Enjalbert, Patrice see Auffray, Yves; et al., 92e:03016 

Fages, Francois see Albert, Luc; et al., 92¢:68064 

Fang, Ming Yi see Chen, Wen Tsuen, 92i:68142 

Farmer, William M. A unification-theoretic method for investigating the k-provability 
problem. 92g:03081 

Felty, Amy Encoding dependent types in an intuitionistic logic. (see 92f:68003) 

Ferro, Alfredo Decision procedures for elementary sublanguages of set theory. XII. 
Multilevel syllogistic extended with singleton and choice operators. 92j:03007 

Foret, Annie Rewrite rule systems for modal propositional logic. 92m:03023 

Franco, John Elimination of infrequent variables improves average case performance of 
satisfiability algorithms. 92j:68012 

Frisch, Alan M. (with Scherl, Richard B.) A constraint logic approach to modal deduction. 
92e:03021 

— (with Scherl, Richard B.) A general framework for modal deduction. 92h:03022 

Gabbay, Dov M. (with Kriwaczek, Frank) A family of goal directed theorem provers based 
on conjunction and implication. I. 92m:68104 

Gallier, Jean (with Snyder, Wayne; Raatz, Stan) Rigid E-unification and its applications to 
equational matings. 92¢e:68172 

Ganzinger, Harald see Bachmair, Leo, (92g:68076) 

Gavrilenko, Yu. V. Majorants of logic evaluations. Lifting and lowering lemmas in logic 
programming. (Russian) 92k:68014 

Giovannetti, Elio see Bosco, Pier Giorgio; et al., 92c:68177 

Goldreich, Oded see Bellare, Mihir; et al., 92j:68102 

Goldschlag, David M. see Boyer, Robert S.; et al., 92m:68102 

Goldwasser, Shafi see Bellare, Mihir; et al., 92j:68102 

Graf, Albert Left-to-right tree pattern matching. 92c:68166 

Gray, Robert Computer programs and mathematical proofs. 

Greiner, Russell (with Orponen, Pekka) Probably approximately optimal derivation 
strategies. (see 92h:68007) 

Guo, Yi Ke see Darlington, John, (92g:68076) 

Hagelstein, Jacques see Binot, Jean-Louis; et al., 92k:68107 

Havel, Timothy F. Some examples of the use of distances as coordinates for Euclidean 
geometry. 92j:51033 

Hayashi, Susumu Constructive mathematics and computer-assisted reasoning systems. 
92c:03068 

Hebrard, Jean-Jacques see Auffray, Yves; et al., 92e:03016 

Heintz, Joos (with Roy, Marie-Frangoise; Solerné, Pablo) Single exponential path finding 
in semialgebraic sets. I. The case of a regular bounded hypersurface. 92j:14072 

Helmink, Leen (with Ahn, René) Goal directed proof construction in type theory. (see 
92f:68003) 

Henglein, Fritz see Leiss, Hans, (92g:68008) 

Henin, Eric see Binot, Jean-Louis; et al., 92k:68107 

Hermann, Miki (with Kirchner, Claude; Kirchner, Héléne) Implementations of term 
rewriting systems. 92a:68063 

Hertrampf, Ulrich (with Wagner, Klaus Werner) Interactive proof systems: provers, rounds, 
and error bounds. (see 92d:68007) 

Holden, Marit Weak logic theory. 92f:68111 

Howe, Douglas J. see Constable, Robert L., 92d:68102 and Allen, Stuart F.; et al., 
(92b:68007) 

Hsiang, Jieh see Bonacina, Maria Paola, 92c:68164 and (92g:68076) 

(Huet, Gérard) see Logical frameworks, 92f:68003 

Hunt, H. B., III see Stearns, Richard E., 92c:68059 

Jouannaud, Jean-Pierre (with Okada, Mitsuhiro) Satisfiability of systems of ordinal 
notations with the subterm property is decidable. (see 92g:68004) 

Kamp, Yves see Binot, Jean-Louis; et al., 92k:68107 

Kapur, Deepak (with Narendran, Paliath; Zhang, Hantao) Automating inductionless 
induction using test sets. 92c:68167 

— (with Musser, David; Narendran, Paliath; Stillman, Jonathan) Semi-unification. 
92g:68071 

Karnick, Harish see Bhatt, K. S. H.S. R., 92f:68150 

Kaufmann, Matt see Boyer, Robert S.; et al., 92m:68102 and Basin, David, (92f:68003) 

Kim, Jin-Sang see Kowalski, Robert A., 92i:68166 

Kirchner, Claude (with Klay, Francis) Syntactic theories and unification. (see 92b:68007) 

— see also Hermann, Miki; et al., 92a:68063 and Doggaz, Narjes, 92i:68143 

Kirchner, Hélene see Hermann, Miki; et al., 92a:68063 

Klay, Francis Undecidable properties of syntactic theories. 92c:68168 

— see also Kirchner, Claude, (92b:68007) 

Koroleva, Z. E. An algorithm for solving a system of logic equations of a special form. 
(Russian) 92f:03019 

Kounalis, Emmanuel (with Lugiez, Denis; Pottier, Loic) A solution of the complement 
problem in associative-commutative theories. (see 92g:68008) 

— (with Rusinowitch, Michael) On word problems in Horn theories. 92k:68110 

Kowalski, Robert A. (with Kim, Jin-Sang) A metalogic programming approach to multi- 
agent knowledge and belief. 92i:68166 

Kriwaczek, Frank see Gabbay, Dov M., 92m:68104 

Kiichlin, Wolfgang Inductive completion by ground proof transformation. 92¢:68169 

van Lamsweerde, Axel see Binot, Jean-Louis; et al., 92k:68107 

Lassez, Jean-Louis (with Maher, Michael John; Marriott, Kim) Elimination of negation in 
term algebras. (see 92g:68008) 

— see also Computational logic, 92d:03002 

Leiss, Hans (with Henglein, Fritz) A decidable case of the semi-unification problem. (see 
92g:68008) 

Letz, R. (with Schumann, J.; Bayerl, S.; Bibel, W.) SETHEO: a high-performance theorem 
prover. 





65 1992 


Lewi, Johan see Bevers, Eddy, (92g:68076) 

van der Linden, Frank see Binot, Jean-Louis; et al., 92k:68107 

Liu, Xu Hua (with Yang, Yu Pu) Linear semi-lock resolution. 92j:68103 

Long, David E. see Bose, Soumitra; et al. 

Lugiez, Denis see Kounalis, Emmanuel; et al., (92g:68008) 

Lynch, Christopher see Snyder, Wayne, 92c:68175 and (92g:68076) 

Maher, Michael John see Lassez, Jean-Louis; et al., (92g:68008) 

Marché, Claude On ground AC-completion. 92¢:68170 

Marriott, Kim see Lassez, Jean-Louis; et al., (92g:68008) 

McCune, William see Wos, Larry, 92c:68176 

(McRobbie, Michael A.) see Automated reasoning and nonclassical logics, 92g:03004 

Michaylov, Spiro see Bose, Soumitra; et al. 

Mints, Grigorii Efroimovich (with Tammet, Tanel) Condensed detachment is complete for 
relevance logic: a computer-aided proof. 92h:03028 

Moiso, Corrado see Bosco, Pier Giorgio; et al., 92c:68177 

Moore, J. Strother see Boyer, Robert S.; et al., 92m:68102 

Morgenstern, Jacques Invariant and geometric aspects of algebraic complexity theory. I. 
92g:68063 

Miller, Jean-Pierre see Binot, Jean-Louis; et al., 92k:68107 

Murthy, Chetan R. see Constable, Robert L., (92f:68003) 

Musser, David see Kapur, Deepak; et al., 92g:68071 

Narendran, Paliath (with Rusinowitch, Michael) Any ground associative-commutative 
theory has a finite canonical system. 92c:68098 

— see also Kapur, Deepak; et al., 92c:68167 and 92g:68071 

Nieuwenhuis, Robert (with Orejas, Fernando) Clausal rewriting. (see 92g:68076) 

— (with Nivela, Pilar) Efficient deduction in equality Horn logic by Horn-completion. 
92m:68106 

Nipkow, Tobias Proof transformations for equational theories. (see 92b:68007) 

— Unification in primal algebras, their powers and their varieties. 92b:08010 

— (with Qian, Zhenyu) Modular higher-order E-unification. 92¢:68171 

— Constructive rewriting. 92a:68065 

Nivela, Pilar see Nieuwenhuis, Robert, 92m:68106 

Nutt, Werner see Baader, Franz, 92c:68163 

Ohlbach, Hans Jiirgen see Eisinger, Norbert; et al., 92f:68151 

Okada, Mitsuhiro see Jouannaud, Jean-Pierre, (92g:68004) 

Orejas, Fernando see Nieuwenhuis, Robert, (92g:68076) 

Orponen, Pekka see Greiner, Russell, (92h:68007) 

Pais, John (with Peterson, Gerald E.) Using forcing to prove completeness of resolution 
and paramodulation. 92¢:68172 

Palamidessi, Catuscia see Bosco, Pier Giorgio; et al., 92c:68177 

Parlamento, Franco (with Policriti, Alberto) Decision procedures for elementary sublan- 
guages of set theory. XIII. Model graphs, reflection and decidability. 92j:03008 

Paugam, Annette Résolution du probléme de l’ellipse et du cercle par !’algorithme de 
Hormander. (English summary) [Solution of the ellipse and circle problem using 
Hérmander’s algorithm] 92d:52036 

Peterson, Gerald E. see Pais, John, 92c:68172 

Plaisted, David A. Mechanical theorem proving. 92a:68133 

— A sequent-style model elimination strategy and a positive refinement. 92b:68056 

— (with Potter, Richard C.) Term rewriting: some experimental results. 92d:68072 

(Plotkin, Gordon) see Computational logic, 92d:03002 and Logical frameworks, 92f:68003 

Policriti, Alberto see Parlamento, Franco, 92j:03008 

Potter, Richard C. see Plaisted, David A., 92d:68072 

Pottier, Loic Minimal solutions of linear Diophantine systems: bounds and algorithms. 
92¢:68173 

— see also Kounalis, Emmanuel; et al., (92g:68008) 

Pracklein, Axel see Eisinger, Norbert; et al., 92f:68151 

Pym, David (with Wallen, Lincoln) Proof-search in the AI]-calculus. (see 92f:68003) 

Qian, Zhenyu see Nipkow, Tobias, 92c:68171 

Quaife, Art Unsolved problems in elementary number theory. 92¢:68173 

Raatz, Stan see Gallier, Jean; et al., 92e:68172 

Ramsay, Allan * Formal methods in artificial intelligence. 92b:68053 

— * Formal methods in artificial intelligence. 92i:68130 

— Generating relevant modeis. 

Rifaut, André see Binot, Jean-Louis; et al., 92k:68107 

Riscos, A. see Chazarain, J.; et al., 92g:03032 

(Robinson, George A.) see Wos, Larry, 92g:01098 

(Robinson, John Alan) see Computational logic, 92d:03002 

Robinson, Peter J. see Staples, John, 92f:68154 

Roy, Marie-Francoise see Heintz, Joos; et al., 92j:14072 

Rusinowitch, Michael Theorem-proving with resolution and superposition. 92c:68174 

— see also Narendran, Paliath, 92c:68098 and Kounalis, Emmanuel, 92k:68110 

Ruzitka, Peter An efficient decision algorithm for the uniform semi-unification problem 
(extended abstract). (see 92g:68008) 

Salomaa, Kai Decidability of confluence and termination of monadic term rewriting 
systems. 92¢:68099 

Schelter, William F. see Chou, Shang-Ching; et al., 92a:68131 

Scherl, Richard B. see Frisch, Alan M., 92e:03021 and 92h:03022 

Schéning, Uwe * Logik fiir Informatiker. (German) [Logic for information scientists} 
92c:68001 

Schroeder-Heister, Peter Structural frameworks, substructural logics, and the role of 
elimination inferences. (see 92f:68003) 

Schumann, J. see Letz, R.; et al. 

Schwartz, Jacob T. see Cantone, D., 92j:03006 

Shapiro, Ehud Inductive inference of theories from facts. (see 92d:03002) 

Shepherdson, J.C. SLDNF-resolution with equality. 

Sindelaf, Jan Random generator of formulas of propositional calculus. (see 92g:00030) 

Snyder, Wayne (with Lynch, Christopher) An inference system for Horn clause logic with 
equality: a foundation for conditional E-unification and for logic programming in the 
presence of equality (extended abstract). (see 92g:68076) 

— (with Lynch, Christopher) Goal directed strategies for paramodulation. 92c:68175 


03B General logic 


— see also Galiier, Jean; et al., 92e:68172 

Snyers, Dominique see Binot, Jean-Louis; et al., 92k:68107 

Socher, Rolf Boolean algebra admits no convergent term rewriting system. 92c:68101 

— Optimizing the clausal normal form transformation. 92g:68128 

— On the relation between resolution based and completion based theorem proving. 
92£:68153 

Solerné, Pablo see Heintz, Joos; et al., 92j:14072 

Stachniak, Zbigniew Note on effective constructibility of resolution proof systems. 
92g:03037 

Staples, John (with Robinson, Peter J.) Structure sharing for quantified terms: fundamen- 
tals. 92f:68154 

Stearns, Richard E. (with Hunt, H. B., III) Power indices and easier hard problems. 
92c:68059 

Stépan, Jan Propositional calculus proving methods in Prolog. (Russian and Czech 
summaries) 

— Automated theorem proving in monadic predicate calculus. 

Stillman, Jonathan see Kapur, Deepak; et al., 92g:68071 

Sturmfels, Bernd Computational algebraic geometry of projective configurations. 
92k:14059 

Szabo, M. E. On the tracking of loops in automated deductions. (see 92d:68007) 

Tammet, Tanel see Mints, Grigorii Efroimovich, 92h:03028 

Tanaka, Yoshihiro A dual algorithm for the satisfiability problem. 92b:03006 

Tayrac, Pierre ARC: an extended ATMS based on directed CAT-correct resolution. (see 
92d:68020) 

Thayse, André see Binot, Jean-Louis; et al., 92k:68107 

Torrecillas, A. see Albert, Luc; et al., 92e:68064 

Van Baalen, Jeffrey The completeness of DRAT, a technique for automatic design of 
satisfiability procedures. 92j:68104 

Veroff, Robert (with Wos, Larry) The linked inference principle. I. The formal treatment. 
92m:68107 

Wagner, Klaus Werner see Hertrampf, Ulrich, (92d:68007) 

Wallen, Lincoln see Pym, David, (92f:68003) 

Watson, Philip see Cohen, Dave, 92c:68088 

White, Neil L. Multilinear Cayley factorization. 92i:68074 

Wilding, Matthew Proving Matijasevich’s lemma with a default arithmetic strategy. 

Wilmont, J.C. F. see ten Eikelder, H. M. M., 92k:68048 

Wos, Larry A well-kept secret of history. 92g:01098 

— (with McCune, William) Automated theorem proving and logic programming: a natural 
symbiosis. 92¢:68176 

— The problem of choosing between using and avoiding equality predicates. 

— see also Veroff, Robert, 92m:68107 

Wa, Wen Jun On the foundation of algebraic differential geometry. 92j:14074 

Yang, Jin Gen see Chou, Shang-Ching; et al., 92a:68131 

Yang, Yu Pu see Liu, Xu Hua; et al., 92j:68103 

(Yukawa, Keitaro) see Bosco, Pier Giorgio; et al., 92c:68177 

Zabel, Nicolas see Caferra, Ricardo, 92a:68130 

Zand-Biglari, Shahriar see Baker, James D. 

Zhang, Hantao see Kapur, Deepak; et al., 92c:68167 

Zimmermann, Paul see Albert, Luc; et al., 92¢:68064 


Items listed otherwise than by author 
Automated reasoning and nonclassical logics * Automated reasoning and nonclassical logics. 
92g:03004 
Computational logic * Computational logic. 92d:03002 
Logical frameworks * Logical frameworks. 92f:68003 
Sophia-Antipolis * Logical frameworks. 92f:68003 
Special Issue: 
Automated reasoning and nonclassical logics * Automated reasoning and nonclassical 
logics. 92g:03004 
Workshop: 
Logical Frameworks: Design, Implementation and Experiment * Logical frameworks. 
92£:68003 


03B40 Combinatory logic and /-calculus 


Berardi, Stefano Retractions on d/-domains as a model for Type:Type. 92h:03018 

Bethke, Inge Finite type structures within combinatory algebras. 92m:03014 

de Bruijn, N. G. Telescopic mappings in typed lambda calculus. 92m:03015 

Cardone, Felice (with Coppo, Mario) Type inference with recursive types: syntax and 
semantics. 92f:03012 

Cartwright, Robert Lambda: the ultimate combinator. 92i:03012 

Coppo, Mario see Cardone, Felice, 92f:03012 

Coquand, Thierry An algorithm for testing conversion in type theory. (see 92f:68003) 

Cosmadakis, Stavros S. (with Meyer, Albert R.; Riecke, Jon G.) Completeness for typed 
lazy inequalities (preliminary report). (see 92b:68007) 

Curien, Pierre-Louis (with Rios, Alejandro) Un résultat de complétude pour les substi- 
tutions explicites. (English summary) [A completeness result for explicit substitutions] 
92e:03015 

Dowek, Gilles A second-order pattern matching algorithm for the cube of typed 4-calculi. 
(see 92g:68008) 

— L’indécidabilité du filtrage du troisi¢me ordre dans les calculs avec types dépendants ou 
constructeurs de types. (English summary) [The undecidability of third-order pattern 
matching in calculi with dependent types or type constructors] 92¢:03013 

Dybjer, Peter Inductive sets and families in Martin-Léf’s type theory and their set-theoretic 
semantics. (see 92f:68003) 

Egidi, Lavinia (with Honsell, Furio; Ronchi Della Rocca, Simona) The lazy call-by-value 4- 
calculus. (see 92g:68008) 

Engeler, Erwin Zur wissenschaftstheoretischen Bedeutung der kombinatorischen Algebra. 
[On the significance of combinatory algebra for the theory of science] 92m:03016 








03B40 


Feferman, Solomon Polymorphic typed lambda-calculi in a type-free axiomatic framework. 
92c:03014 

Galbiati, Louis (with Talcott, Carolyn) A simplifier for untyped lambda expressions. (see 
92g:68076) 

Geuvers, Herman (with Nederhof, Mark-Jan) Modular proof of strong normalization for 
the calculus of constructions. 92k:03009 

Giannini, Paola (with Ronchi Della Rocca, Simona) Type inference in polymorphic type 
discipline. 92i:03013 

(Ginisti, Jean-Pierre) see Schénfinkel, M., 92f:03013 

Hikita, Teruo see Yokouchi, Hirofumi, 92b:03015 

Hirokawa, Sachio Principal type-schemes of BCI-lambda-terms. 92m:03017 

Holmes, M. Randall Systems of combinatory logic related to Quine’s “New Foundations”. 
92g:03020 

Honsell, Furio see Egidi, Lavinia; et al., (92g:68008) 

Hoofman, Raymond (with Schellinx, Harold) Collapsing graph models by preorders. (see 
92g:68005) 

Intrigila, Benedetto A problem on easy terms in A-calculus. 92m:03018 

Kanellakis, Paris C. (with Mairson, Harry G.; Mitchell, John C.) Unification and ML-type 
reconstruction. (see 92d:03002) 

Khasidashvili, Z.O. 8-reductions and £-developments of A-terms with the least number of 
steps. 92a:03016 

Koletsos, George Polymorphic lambda calculus: the Church-Rosser property. 92h:03019 

La, Ru Zhan (with Zhang, Zheng; Sun, Yong Qiang) Construction of the model of the 
lambda calculus system with algebraic operators. 92g:03021 

Mairson, Harry G. see Kanellakis, Paris C.; et al., (92d:03002) 

Mendler, Nax Paul Inductive types and type constraints in the second-order lambda 
calculus. 92h:03020 

Meyer, Albert R. see Cosmadakis, Stavros S.; et al., (92b:68007) 

Mezghiche, M. Weak completeness of type assignment in A-calculus models: a generaliza- 
tion of Hindley’s result. 92m:03019 

Mitchell, John C. (with Moggi, Eugenio) Kripke-style models for typed lambda calculus. 
92a:03017 

— see also Kanellakis, Paris C.; et al., (92d:03002) 

Moggi, Eugenio Notions of computation and monads. 92j:03011 

— see also Mitchell, John C., 92a:03017 

Nederhof, Mark-Jan see Geuvers, Herman, 92k:03009 

Nipkow, Tobias Higher-order unification, polymorphism, and subsorts (extended abstract). 
(see 92g:68076) 

Ohtsuka, Hiroshi Comparison of two categorical models of typed A-calculus. 92g:03022 

O'Keefe, Patrick M. see Wand, Mitchell, (92d:03002) 

Phoa, Wesley Two results on set-theoretic polymorphism. (see 92g:68005) 

— From term models to domains. 92j:03012 

Piperno, Adolfo (with Tronci, Enrico) Regular systems of equations in A-calculus. 
92a:03018 

Postma, Stef W. The £A-calculus and derived program forms. 92j:03013 

Pym, David (with Wallen, Lincoln) Proof-search in the AIl-calculus. (see 92f:68003) 

Qian, Zhenyu Second-order unification in the presence of linear shallow algebraic equations 
(extended abstract). (see 92g:68076) 

Riecke, Jon G. see Cosmadakis, Stavros S.; et al., (92b:68007) 

Rios, Alejandro see Curien, Pierre-Louis, 92¢:03015 

Ronchi Della Rocca, Simona see Giannini, Paola, 92i:03013 and Egidi, Lavinia; et al., 
(92g:68008) 

Schellinx, Harold see Hoofman, Raymond, (92g:68005) 

Schénfinkel, M. Sur les éléments de construction de la logique mathématique. (English 
summary) [On the building blocks of mathematical logic] 92f:03013 

Schwichtenberg, Helmut An upper bound for reduction sequences in the typed A-calculus. 
924:03007 

Sun, Yong Qiang see Lu, Ru Zhan; et al., 92g:03021 

Talcott, Carolyn see Galbiati, Louis, (92g:68076) 

Tronci, Enrico see Piperno, Adolfo, 92a:03018 

Turner, Raymond Logics of truth. 92b:03014 

(Vandevelde, Genevieve) see Schénfinkel, M., 92f:03013 

Wallen, Lincoln see Pym, David, (92f:68003) 

Wand, Mitchell (with O’Keefe, Patrick M.) Automatic dimensional inference. (see 
92d:03062) 

— Type inference for record concatenation and multiple inheritance. 92d:03008 

Yokouchi, Hirofumi (with Hikita, Teruo) A rewriting system for categorical combinators 
with multiple arguments. 92b:03015 

Zaionc, Marek On the A-definable tree operations. 924:03009 

— A-definability on free algebras. 92b:03016 

Zhang, Zheng see Lu, Ru Zhan; et al., 92g:03021 

Items with secondary classifications in 03B40 

Abadi, Martin (with Plotkin, Gordon) A per model of polymorphism and recursive types. 
(see 92b:68007) 

— (with Cardelli, Luca; Curien, Pierre-Louis; Lévy, Jean-Jacques) Explicit substitutions. 
92j:68068 

Aczel, Peter (with Carlisle, David P.; Mendler, Nax Paul) Two frameworks of theories and 
their implementation in Isabelle. (see 92f:68003) 

Ahn, René see Helmink, Leen, (92f:68003) 

Alessi, Fabio (with Barbanera, Franco) Strong conjunction and intersection types. (see 
92g:68008) - 

Amadio, Roberto M. Typed equivalence, type assignment, and type containment. (see 
92g:68076) 

— Recursion over realizability structures. 92¢:03066 

Barbanera, Franco Combining term rewriting and type assignment systems. 92c:68083 

— Adding algebraic rewriting to the calculus of constructions: strong normalization 
preserved. (see 92g:68076) 

— see also Alessi, Fabio, (92g:68008) 

Barendregt, H. P. Functional programming and lambda calculus. (see 92d:68002) 


MATHEMATICAL LOGIC AND FOUNDATIONS 


van Benthem, Johan * Language in action. 92g:03002 

Berline, C. Rétractions et interprétation interne du polymorphisme: le probleme de la 
rétraction universelle. (English summary) [Retractions and the internal interpretation of 
polymorphism: the problem of universal retraction] 92m:68069 

Bohm, C. (with Intrigila, Benedetto) Multisets and polynomials: an algebraic approach to 
functional programming. (Italian summary) 92m:68011 

Breazu-Tannen, Val (with Coquand, Thierry; Gunter, Carl A.; Scedrov, Andre) Inheritance 
as implicit coercion. 92¢:68115 

Bruce, Kim B. (with Meyer, Albert R.; Mitchell, John C.) The semantics of second-order 
lambda calculus. 92¢:68110 

de Bruijn, N. G. A plea for weaker frameworks. (see 92f:68003) 

Cardelli, Luca (with Martini, Simone; Mitchell, John C.; Scedrov, Andre) An extension of 
system F with subtyping. 92k:03010 

— see also Abadi, Martin; et al., 92j:68068 

Cardone, Felice Recursive types for FUN. 92i:68091 

Carlisle, David P. see Aczel, Peter; et al., (92f:68003) 

Chen, Weidong (with Warren, David Scott) Compilation of predicate abstractions in 
higher-order logic programming. (see 92g:68009) 

Cheng, M. H. M. (with van Emden, Maarten H.; Richards, B. E.) On Warren’s method for 
functional programming in logic. (see 92d:68014) 

Coquand, Thierry see Breazu-Tannen, Val; et al., 92c:68115 

Curien, Pierre-Louis (with Di Cosmo, Roberto) A confluent reduction for the A-calculus 
with surjective pairing and terminal object. (see 92g:68004) 

— An abstract framework for environment machines. 92¢:68042 

— see also Abadi, Martin; et al., 92j:68068 

Di Cosmo, Roberto see Curien, Pierre-Louis, (92g:68004) 

Dougherty, Daniel J. Adding algebraic rewriting to the untyped lambda calculus (extended 
abstract). (see 92b:68018) 

van Emden, Maarten H. see Cheng, M. H. M.; et al., (92d:68014) 

Frandsen, Gudmund S. (with Sturtivant, Carl) What is an efficient implementation of the A- 
calculus? 92k:68053 

Fribourg, Laurent Proofs by combinatory induction on recursively reducible expressions. 
92e:68171 

Goerdt, Andreas (with Seidl, Helmut) Characterizing complexity classes by higher type 
primitive recursive definitions. II. 92f:03036 

Gomard, Carsten K. (with Jones, Neil D.) A partial evaluator for the untyped lambda- 
calculus. 92h:68054a 

— (with Jones, Neil D.) Erratum: “A partial evaluator for the untyped lambda-calculus”. 
92h:68054b 

de Groote, Philippe Nederpelt’s calculus extended with a notion of context as a logical 
framework. (see 92f:68003) 

Gunter, Carl A. see Breazu-Tannen, Val; et al., 92c:68115 

Guzman, Juan C. (with Hudak, Paul) Single-threaded polymorphic lambda calculus. (see 
92b:68007) 

Helmink, Leen (with Ahn, René) Goal directed proof construction in type theory. (see 
92f:68003) 

Holt, C. M. Intervals as time lattices. (see 91k:68018) 

Hudak, Paul see Guzman, Juan C., (92b:68007) 

(Huet, Gérard) see Logical frameworks, 92f:68003 

Intrigila, Benedetto see Bohm, C., 92m:68011 

Jacobs, Bart (with Moggi, Eugenio; Streicher, Thomas) Relating models of impredicative 
type theories. (see 92g:68005) 

Jones, Neil D. see Gomard, Carsten K., 92h:68054a and 92h:68054b 

Jouannaud, Jean-Pierre Executable higher-order algebraic specifications. 92f:68115 

Kfoury, A. J. (with Tiuryn, Jerzy) Type reconstruction in finite-rank fragments of the 
polymorphic A-calculus (extended abstract). (see 92b:68007) 

(Lassez, Jean-Louis) see Computational logic, 92d:03002 

(Leibniz, Gottfried Wilhelm) see Petia, Lorenzo, 92m:03002 

Lévy, Jean-Jacques see Abadi, Martin; et al., 92j:68068 

Longo, Giuseppe! (with Moggi, Eugenio) Constructive natural deduction and its “qw-set” 
interpretation. 92j:03004 

Martini, Simone see Cardelli, Luca; et al., 92k:03010 

Mendler, Nax Paul see Aczel, Peter; et al., (92f:68003) 

Meyer, Albert R. see Bruce, Kim B.; et al., 92¢:68110 

Mitchell, John C. see Bruce, Kim B.; et al., 92e:68110 and Cardelli, Luca; et al., 92k:03010 

Moggi, Eugenio see Longo, Giuseppe! , 92j:03004 and Jacobs, Bart; et al., (92g:68005) 

Nielson, Flemming see Nielson, Hanne Riis, 92i:68024 

Nielson, Hanne Riis (with Nielson, Flemming) Using transformations in the implementa- 
tion of higher-order functions. 92i:68024 

Normann, Dag Formalizing the notion of total information. 92f:68104 

Palmgren, Erik A construction of Type:Type in Martin-Léf’s partial type theory with one 
universe. 92h:03090 

Peiia, Lorenzo De la logique combinatoire des Generales inquisitiones aux calculs combina- 
toires contemporains. (English summary) [From the combinatory logic of the Generales 
inquisitiones to contemporary combinatory calculi] 92m:03002 

Pfenning, Frank Logic programming in the LF logical framework. (see 92f:68003) 

Pino Perez, Ramén An extensional partial combinatory algebra based on A-terms. (see 
92g:68008) 

Plotkin, Gordon see Abadi, Martin, (92b:68007); Computational logic, 92d:03002 and 
Logical frameworks, 92f:68003 

Ramsay, Allan * Formal methods in artificial intelligence. 92b:68053 

Richards, B. E. see Cheng, M. H. M.,; et al., (92d:68014) 

Robinson, Edmund (with Rosolini, Giuseppe) Polymorphism, set theory, and call-by-value. 
(see 92b:68007) 

(Robinson, John Alan) see Computational logic, 92d:03002 

Rosolini, Giuseppe see Robinson, Edmund, (92b:68007) 

Sato, Masahiko An abstraction mechanism for symbolic expressions. (see 92f:68002) 

Scedrov, Andre A guide to polymorphic types. 92c:03035 

— see also Breazu-Tannen, Val; et al., 92c:68115 and Cardelli, Luca; et al., 92k:03010 

Seidl, Helmut see Goerdt, Andreas, 92f:03036 





67 1992 


Streicher, Thomas see Jacobs, Bart; et al., (92g:68005) 

Sturtivant, Carl see Frandsen, Gudmund S., 92k:68053 

Tiuryn, Jerzy Type inference problems: a survey. 92c:68131 

— see also Kfoury, A. J., (92b:68007) 

Wand, Mitchell (with Wang, Zheng Yu) Conditional lambda-theories and the verification 
of static properties of programs. (see 92b:68007) 

Wang, Zheng Yu see Wand, Mitchell, (92b:68007) 

Warren, David Scott see Chen, Weidong, (92g:68009) 

Items listed otherwise than by author 

Computational logic * Computational logic. 92d:03002 

Logical frameworks * Logical frameworks. 92f:68003 

Sophia-Antipolis * Logical frameworks. 92f:68003 

Workshop: 
Logical Frameworks: Design, Implementation and Experiment * Logical frameworks. 

92£:68003 


03B45 Modal and tense logic {For provability logics, see also 
03F40.} 


Alur, Rajeev (with Henzinger, Thomas A.) Real-time logics: complexity and expressiveness. 
(see 92b:68007) 

Andréka, Hajnalka (with Németi, Istvan; Sain, [ldik6) On the strength of temporal proofs. 
92h:03021 

Artémov, S. N. Kolmogorov’s logic of problems and a provability interpretation of 
intuitionistic logic. 92c:03015 

— Uniform arithmetic completeness of modal provability logics. (Russian) 92a:03019 

Asher, Nicholas Intentional paradoxes and an inductive theory of propositional quantifica- 
tion. 92c:03016 

— (with Morreau, Michael) Commonsense entailment: a modal theory of nonmonotonic 
reasoning. 92d:03010 

Audi, Robert Justification, deductive closure and reasons to believe. 

Auffray, Yves (with Enjalbert, Patrice; Hebrard, Jean-Jacques) Strategies for modal 
resolution: results and problems. 92¢:03016 

Barba Escriba, Juan A multidimensional modal translation for a formal system motivated 
by situation semantics. 92m:03020 

Barca, Anne (with McRobbie, Michael A.) Constructive interpolation theorems for S2° and 
$2. 92e:03017 

Blamey, Stephen (with Humberstone, I. L.) A perspective on modal sequent logic. 
92m:03021 

Bochman, Alexander Concerted instant-interval temporal semantics. I. Temporal ontolo- 
gies. 92b:03017 

— Concerted instant-interval temporal semantics. I]. Temporal valuations and logics of 
change. 92e:03018 

Boritié, Branislav R. Interpolation theorem for intuitionistic $4. 92c:03017 

Bressan, Aldo New semantics for the extensional but hyper-intensional part %, of the modal 
sense language “YZ”. 92a:03020 

Brink, Chris (with Heidema, Johannes) Verisimilitude by power relations: a response to 
Oddie. 

Burdick, Howard A notorious affair called exportation. 92m:03022 

(Bystrov, P. 1.) see Ruzsa, Imre, 92b:03023b 

Cerrato,C. Graded modalities. IV. General canonical models for graded normal logics. 
92c:03018 

Chagrov, A. V. Undecidable properties of extensions of provability logic. (Russian) 
92i:03014 

— see also Zakhar'yashchev, M. V., 92h:03027 

da Costa, Newton C. A. New foundations for deontic logic. (Portuguese. English summary) 
92a:03021 

Cross, Charles B. Temporal necessity and the conditional. 92e:03019 

Davies, Nick A first-order logic of truth, knowledge and belief. 92b:03018 

De Nicola, Rocco (with Vaandrager, Frits W.) Three logics for branching bisimulation 
(extended abstract). (see 92b:68007) 

Deutsch, Harry Contingency and modal logic. 92a:03022 

Dosen, Kosta Normal modal logics in which the Heyting propositional calculus can be 
embedded. 92¢:03020 

— Modal translations of Heyting and Peano arithmetic. 92f:03014 

Dunn, J. Michael Gaggle theory: an abstraction of Galois connections and residuation, with 
applications to negation, implication, and various logical operators. 92j:03014 

G.K. Decidable and enumerable predicate logics of provability. 92a:03023 

Emerson, E. Allen (with Evangelist, Michael; Srinivasan, Jai) On the limits of efficient 
temporal decidability (extended abstract). (see 92b:68007) 

Enjalbert, Patrice see Auffray, Yves; et al., 92e:03016 

Evangelist, Michael see Emerson, E. Allen; et al., (92b:68007) 

Fagin, Ronald (with Halpern, Joseph Y.; Vardi, Moshe Y.) A nonstandard approach to the 
logical omniscience problem. 92c:03019 

Fariiias del Cerro, Luis (with Penttonen, Martti) Grammar logics. 92i:03015 

Fitting, Melvin Modal logic should say more than it does. (see 92d:03002) 

Foret, Annie Rewrite rule systems for modal propositional logic. 92m:03023 

Frisch, Alan M. (with Scherl, Richard B.) A constraint logic approach to modal deduction. 
92e:03021 

— (with Scherl, Richard B.) A general framework for modal deduction. 92h:03022 

Fuhrmann, André Models for relevant modal logics. 92g:03023 

Fujiwara, Yasushi (with Honiden, Shinichi) A nonmonotonic temporal logic and its Kripke 
semantics. 92b:03019 

Galvan, Sergio Underivability results in mixed systems of monadic deontic logic. 
92g:03024 

Ghilardi, S. (with Meloni, G. C.) Modal logics with n-ary connectives. 92h:03023 

Ginsberg, Matthew L. Bilattices and modal operators. 92c:03020 

Goranko, Valentin Completeness and incompleteness in the bimodal base “(R, —R). 
92e:03022 


03B General logic 


— Proving unprovability in some normal modal logic. 

Hajek, Petr (with Montagna, Franco) The logic of I,-conservativity. 92a:03024 

Halpern, Joseph Y. see Fagin, Ronald; et al., 92c:03019 

Hamaguchi, Kiyoharu (with Hiraishi, Hiromi; Yajima, Shuzo) Branching time regular 
temporal logic for model checking with linear time complexity. 92e:03023 

Hansoul, G. (with Sart, F.) The canonical Kripke model for the modal system S5 over a 
finite number of variables. 92b:03020 

Hansson, Sven Ove The revenger’s paradox. 92b:03021 

— In defense of base contraction. 

Hebrard, Jean-Jacques see Auffray, Yves; et al., 92e:03016 

Heidema, Johannes see Brink, Chris 

Henzinger, Thomas A. see Alur, Rajeev, (92b:68007) 

Hiraishi, Hiromi see Hamaguchi, Kiyoharu; et al., 92e:03023 

Hitchcock, Christopher Urbach on the laws of nature. Comment on: “What is a law of 
nature? A Humean answer” [British J. Philos. Sci. 39 (1988), no. 2, 193-209] by P. 
Urbach. 

van der Hoek, Wiebe Systems for knowledge and beliefs. 92c:03021 

Honiden, Shinichi see Fujiwara, Yasushi, 92b:03019 

Humberstone, I. L. see Blamey, Stephen, 92m:03021 

de Jongh, Dick (with Veltman, Frank) Provability logics for relative interpretability. 
924:03011 

Kaminski, Michael see Tiomkin, Michael, (92b:68021) 

Katz, Shmuel (with Peled, Doron) Interleaving set temporal logic. 92d:03012 

Konolige, Kurt Explanatory belief ascription. Notes and premature formalization. (see 
92b:68021) 

Kracht, Marcus An almost general splitting theorem for modal logic. 92h:03024 

Kukla, André Criteria of rationality and the problem of logical sloth. 

Lakemeyer, Gerhard A computationally attractive first-order logic of belief. 92a:03025 

Lewis, Harry R. A logic of concrete time intervals (extended abstract). (see 92b:68007) 

Lowe, E. J. McTaggart’s paradox revisited. 

Mattila, Jorma K. Sound system of LPC + Ch, the logic of modifiers. 92m:03024 

McRobbie, Michael A. see Barca, Anne, 92e:03017 

Meloni, G. C. see Ghilardi, S., 92h:03023 

van der Meyden, R. The dynamic logic of permission. (see 92b:68007) 

Montagna, Franco see Hajek, Petr, 92a:03024 

Morreau, Michael Epistemic semantics for counterfactuals. 92m:03025 

— see also Asher, Nicholas, 924:03010 

Moser, Paul K. (with vander Nat, Arnold) The logical status of modal reductionism. 
924:03013 

vander Nat, Arnold see Moser, Paul K., 92d:03013 

Németi, Istvan see Andréka, Hajnalka; et al., 92h:03021 

Nortmann, Ulrich * Deontische Logik ohne Paradoxien. Semantik und Logik des 
Normativen. (German) [Deontic logic without paradoxes. Semantics and logic of the 
normative] 92c:03022 

Nute, Donald Historical necessity and conditionals. 92j:03015 

Ostermann, Pascal Many-valued modal logics: uses and predicate calculus. 92e:03024 

Peled, Doron see Katz, Shmuel, 92d:03012 

Penttonen, Martti see Farifias del Cerro, Luis, 92i:03015 

Pizzi, Claudio Counterfactuals and the complexity of causal notions. 92b:03022 

Qiu, Wei De see Zou, Jing; et al., 92b:03026 

Ruzsa, Imre Intensional logic with semantic value gaps and its applications. (Russian) 
92b:03023a 

— Intensional logic, semantics with value gaps and their applications. (Russian) 92b:03023b 

Rybakov, V. V. Problems of substitution and admissibility in the modal system Grz and in 
intuitionistic propositional calculus. 92a:03026 

— Admissibility of rules of inference, and logical equations in modal logics that axiomatize 
provability. (Russian) 92a:03027 

— Logical equations and admissible rules of inference with parameters in modal provability 
logics. 92f:03015 

Sain, Ildiké see Andréka, Hajnalka; et al., 92h:03021 

Sart, F. see Hansoul, G., 92b:03020 

Scherl, Richard B. see Frisch, Alan M., 92e:03021 and 92h:03022 

Schumm, George F. The number of {0, —}-logics. 92g:03025 

Seidenfeld, Teddy Two perspectives on consensus for (Bayesian) inference and decisions. 
(see 92d:68012) 

Shekhtman, V. B. Modal counterparts of Medvedev logic of finite problems are not finitely 
axiomatizable. 92b:03024 

Shvarts, G. F. Autoepistemic modal logics. 92c:03023 

(Sidorenko, E. A.) see Ruzsa, Imre, 92b:03023a 

Skura, Tomasz Refutation rules for three modal logics. 

Slater, B. H. Intensional identities. 92e:03025 

Smith, Quentin The new theory of reference entails absolute time and space. 92g:03026 

Spaan, Edith Nexttime is not necessary (extended abstract). (see 92b:68021) 

Srinivasan, Jai see Emerson, E. Allen; et al., (92b:68007) 

Stalnaker, Robert The problem of logical omniscience. I. 

Swirydowicz, Kazimierz On regular modal logics with axiom OT — OOT. 92a:03028 

Teichmann, Roger Future individuals. 

Thomason, Richmond H. Propagating epistemic coordination through mutual defaults. I. 
92b:03025 

Tiomkin, Michael (with Kaminski, Michael) Nonmonotonic default modal logics 
(extended abstract). (see 92b:68021) 

(Urbach, Peter) see Hitchcock, Christopher 

Vaandrager, Frits W. see De Nicola, Rocco, (92b:68007) 

Vakarelov, Dimit”r Modal characterization of the classes of finite and infinite quasi-ordered 
sets. 92g:03027 

Vardi, Moshe Y. see Fagin, Ronald; et al., 92c:03019 

Veltman, Frank see de Jongh, Dick, 92d4:03011 

Venema, Yde Expressiveness and completeness of an interval tense logic. 92a:03029 

Voorbraak, Frans The logic of objective knowledge and rational belief. 92a:03030 

Vreeswijk, Gerard A complete logic for autoepistemic membership. 92a:03031 








03B45 


Wansing, Heinrich A general possible worlds framework for reasoning about knowledge and 
belief. 92h:03025 

Williamson, Timothy On intuitionistic modal epistemic logic. 92m:03026 

Willing, Anthony Buridan’s divided modal syllogistic. 92j:03016 

Wong, Kai-Yee A priority and ways of grasping a proposition. 

Xu, Ming Some descending chains of incomplete modal logics. 92h:03026 

Yagisawa, Takashi Possible worlds as shifting domains. 

Yajima, Shuzo see Hamaguchi, Kiyoharu; et al., 92e:03023 

Yonezaki, Naoki Logic for hierarchical temporal reasoning. (see 92b:68008) 

Zakhar'yashchev, M. V. Syntax and semantics of modal logics that contain S4. (Russian) 
92b:03032 

— Modal companions of superintuitionistic logics: syntax, semantics and preservation 
theorems. (Russian) 92b:03034 

— (with Chagrov, A. V.) Undecidability of the Halldén completeness property in modal 
calculi. (Russian. English summary) 92h:03027 

Zou, Jing (with Qiu, Wei De) Medium modal logics—formal systems and semantics. 
(Chinese. English summary) 92b:03026 


Items with secondary classifications in 03B45 

Allen, James F. Planning as temporal reasoning. (see 92h:68007) 

Alonso, J. A. see Chazarain, J.; et al., 92g:03032 

Amsterdam, Jonathan Temporal reasoning and narrative conventions. (see 92h:68007) 

Arai, Toshiyasu Derivability conditions on Rosser’s provability predicates. 92i:03062 

Attardi, Giuseppe (with Simi, Maria) Reflections about reflection. 92i:68146 

Bacchus, Fahiem (with Tenenberg, Josh; Koomen, Johannes A.) A nonreified temporal 
logic. 92m:68111 

Balbiani, Philippe A modal semantics for the negation as failure and the closed world 
assumption rules. 92¢:68124 

Barringer, Howard (with Fisher, Michael D.; Gabbay, Dov M.; Hunter, Anthony) Meta- 
reasoning in executable temporal logic. (see 92h:68007) 

Belnap, Nuel (with Perloff, Michael) Seeing to it that: a canonical form for agentives. (see 
92d:68012) 

Berarducci, Alessandro The interpretability logic of Peano arithmetic. 92f:03066 

Bonatti, Piero A. Beliefs as stable conjectures. 92f:68158 

Bonevac, Daniel Semantics and supervenience. 92h:03005 

Bradfield, J.C. Proving temporal properties of Petri nets. 92j:68091 

Briales, E. see Chazarain, J.; et al., 92g:03032 

Bystrov, P. I. Cut-elimination methods in nonclassical logics. (Russian. English summary) 
92d:03041 

Carnes, James R. see Davis, William S., (92h:68007) 

Chazarain, J. (with Riscos, A.; Alonso, J. A.; Briales, E.) Multi-valued logic and Grébner 
bases with applications to modal logic. 92g:03032 

Chou, Timothy S.-C. (with Winslett, Marianne) Immortal: a model-based belief revision 
system. 92i:68164 

Cohen-Chesnot, Joélle On the expressive power of temporal logic for infinite words. 
92h:68046 

Cravo, Maria R. see Martins, Joao P., 92e:68178 

Cross, Charles B. Belief revision, nonmonotonic reasoning, and the Ramsey test. (see 
92d:68012) 

Davis, William S. (with Carnes, James R.) Clustering temporal intervals to generate 
reference hierarchies. (see 92h:68007) 

Dickey, James M. see Lad, F. R.; et al., 92k:60002 

Edelberg, Walter A case for a heretical deontic semantics. 92d:03018 

Emerson, E. Allen Temporal and modal logic. (see 92d:68002) 

Fischer, Walther L. The logic of problem solving—structures and limitations. (Malayan 
summary) 92k:03002 

Fisher, Michael D. see Barringer, Howard; et al., (92h:68007) 

Font i Llovet, Josep Ma. (with Verdi, Ventura) Algebraic logic for some nonprotoalgebraiz- 
able logics. (see 92m:03003) 

Freksa, Christian Temporal reasoning based on semi-intervals. 

Frisch, Alan M. see Haddawy, Peter, (92m:68007) 

Gabbay, Dov M. see Barringer, Howard; et al., (92h:68007) 

Gao, Jian-Ming see Nakamura, Akira’ , 92j:03022 

Georgeff, Michael P. see Rao, Anand S., 92i:68158 

Grahne, Gista Updates and counterfactuals. 92i:68165 

Haddawy, Peter (with Frisch, Alan M.) Modal logics of higher-order probability. (see 
92m:68007) 

— A temporal probability logic for representing actions. 92i:68150 

Hernandez Fernandez, Ma. Luisa Teresa Automatic proof in modal logic. (Spanish) (see 
92g:00024) 

Horty, John F. (with Thomason, Richmond H.) Conditionals and artificial intelligence. 

Howell, Rodney R. (with Rosier, Louis E.; Yen, Hsu Chun) A taxonomy of fairness and 
temporal logic problems for Petri nets. 92i:68117 

Huang, Zhisheng Logics for belief dependence. (see 92d:68007) 

Hunter, Anthony see Barringer, Howard; et al., (92h:68007) 

Hunter, Daniel Graphoids and natural conditional functions. 92g:68130 

Kaivola, Roope (with Valmari, Antti) Using truth-preserving reductions to improve the 
clarity of Kripke-models. 92j:03026 

Konolige, Kurt Quantification in autoepistemic logic. 92j:68114 

Koomen, Johannes A. see Bacchus, Fahiem; et al., 92m:68111 

Krishnan, Padmanabhan A model for real-time systems. (see 92g:68008) 

Lad, F.R. (with Dickey, James M.; Rahman, Mohammad A.) The fundamental theorem of 
prevision. (Italian summary) 92k:60002 

Lakemeyer, Gerhard On the relation between explicit and implicit belief. 92i:68155 

Lamarre, Philippe S4 as the conditional logic of nonmonotonicity. (see 92h:68007) 

van Lambalgen, Michiel The axiomatization of randomness. 92f:68075 

Lascarides, Alex The progressive and the imperfective paradox. 92i:03027 

Leblanc, Hugues (with Roeper, Peter) Conditionals and conditional probabilities: three 
triviality theorems. (see 92d:68012) 

Levesque, Hector J. Belief and introspection. (see 92f:68002) 


MATHEMATICAL LOGIC AND FOUNDATIONS 


(Lowe, E. J.) see Ramachandran, Murali 

Magnell, Thomas The extent of Russell’s modal views. 92a:03002 

Marek, Wiktor (with Shvarts, G. F.; Truszczyniski, Mirostaw) Modal nonmonotonic logics: 
ranges, characterization, computation. 92i:68156 

Martins, Joao P. (with Cravo, Maria R.) How to change your mind. 92¢:68178 

McGee, Vann * Truth, vagueness, and paradox. 92k:03004 

Melia, Joseph Anti-realism untouched. 

Meyer, J.-J. Ch. see Wieringa, R. J., (92b:68010) 

Minami, Toshiro see Sawamura, Hajime; et al., (92d:68014) 

Nakamura, Akira!’ (with Gao, Jian-Ming) On a KTB-modal fuzzy logic. 92j:03022 

Nebel, Bernhard Belief revision and default reasoning: syntax-based approaches. (see 
92h:68007) 

Nisenboim, L. B. Logic of metric time relations. (Russian) 92k:03006 

O’Connor, Timothy The impossibility of middle knowledge. 

Ohashi, Kyoko see Sawamura, Hajime; et al., (92d:68014) 

Paech, Barbara Extending temporal logic by explicit concurrency. (see 92g:68008) 

Passy, Solomon (with Tinchev, Tinko) An essay in combinatory dynamic logic. 92h:03038 

Pearl, Judea Jeffrey’s rule, passage of experience, and neo-Bayesianism. (see 92d:68012) 

— (with Verma, T.S.) A theory of inferred causation. 92j:68109 

Perloff, Michael see Belnap, Nuel, (92d:68012) 

Rahman, Mohammad A. see Lad, F. R.; et al., 92k:60002 

Ramachandran, Murali Conditionals and transitivity. Response to: “Conditionals, context, 
and transitivity” [Analysis (Oxford) 50 (1990), no. 2, 80-87] by E. J. Lowe. 

Ramsay, Allan * Formal methods in artificial intelligence. 92b:68053 

— * Formal methods in artificial intelligence. 92i:68130 

Rantala, Veikko Knowledge representation and epistemic logic: an overview. (see 
92b:68008) 

Rao, Anand S. (with Georgeff, Michael P.) Modeling rational agents within a BDI- 
architecture. 92i:68158 

Rauszer, Cecylia M. Expansions and models of autoepistemic theories. (see 92d:68007) 

Reyes, Gonzalo E. A topos-theoretic approach to reference and modality. 92m:03039 

Riscos, A. see Chazarain, J.; et al., 92g:03032 

Roeper, Peter see Leblanc, Hugues, (92d:68012) 

Rosier, Louis E. see Howell, Rodney R.; et al., 92i:68117 

Rybakov, V. V. Decidability of logical equations in the modal system Grz and in intuitionis- 
tic logic. (Russian) 92m:03011 

Sain, Ildik6 Beth’s and Craig’s properties via epimorphisms and amalgamation in algebraic 
logic. 92g:03089 

— Past proves more invariance properties but not PCAs. 92k:03011 

Sakalauskaité, Jaraté (with Valiev, M. K.) Completeness of propositional dynamic logic 
with infinite repeating. 92k:03012 

Sanchez-Mazas, Miguel Errata: “Identification and analysis of equivalence classes of modal 
logic by numerical invariants” [Logique et Anal. (N.S.) 30 (1987), no. 120, 401-439; MR 
90m:03025]. (French) 92a:03015 

Sartwell, Crispin Why knowledge is merely true belief. 

Sawamura, Hajime (with Minami, Toshiro; Yokota, Kaoru; Ohashi, Kyoko) A logic 
programming approach to specifying logics and constructing proofs. (see 92d:68014) 

Schweizer, Paul A metalinguistic treatment of epistemic contexts. 92i:68160 

Seebohm, Thomas M. * Elementare formalisierte Logik. (German) [Elementary formalized 
logic] 92m:03001 

Seymour, Michel A sentential theory of propositional attitudes. 

Shoham, Yoav Efficient reasoning about rich temporal domains [MR 90e:68084]. (see 
92d:03003) 

Shvarts, G. F. see Marek, Wiktor; et al., 92i:68156 

Simi, Maria see Attardi, Giuseppe, 92i:68146 

Slater, B. H. Liar syllogisms and related paradoxes. 92j:03003 

Smith, Quentin The co-reporting theory of tensed and tenseless sentences. 92b:03038 

S uga-Rosol , Gi i * Fixed point constructions in various theories of 
mathematical logic. 92g:03003 

Stark, Robert F. On the existence of fixpoints in Moore’s autoepistemic logic and the 
nonmonotonic logic of McDermott and Doyle. (see 92d:68007) 

Suzuki, Nobu-Yuki Kripke bundles for intermediate predicate logics and Kripke frames for 
intuitionistic modal logics. 92g:03040 

Tenenberg, Josh see Bacchus, Fahiem; et al., 92m:68111 

Tennent, R. D. (with Tobin, J. K.) Continuations in possible-world semantics. 92g:68092 

Thomason, Richmond H. see Horty, John F. 

Tinchev, Tinko see Passy, Solomon, 92h:03038 

Tobin, J. K. see Tennent, R. D., 92g:68092 

Truszezytiski, Mirostaw Embedding default logic into modal nonmonotonic logics. 
92g:03045 

— Modal nonmonotonic logic with restricted application of the negation as failure to prove 
rule. 92j:68111 

— see also Marek, Wiktor; et al., 92i1:68156 

Valiev, M. K. see Sakalauskaité, Jiraté, 92k:03012 

Valmari, Antti see Kaivola, Roope, 92j:03026 

Verdi, Ventura see Font i Liovet, Josep Ma., (92m:03003) 

Verma, T.S. see Pearl, Judea, 92j:68109 

(Wiegand, Olav) see Seebohm, Thomas M., 92m:03001 

Wieringa, R. J. (with Meyer, J.-J. Ch.) Actor-oriented specification of deontic integrity 
constraints. (see 92b:68010) 

Wijesekera, Duminda Constructive modal logics. I. 92i:03064 

Winslett, Marianne see Chou, Timothy S.-C., 92i:68164 

Yen, Hsu Chun see Howell, Rodney R.; et al., 92i:68117 

Yokota, Kaoru see Sawamura, Hajime; et al., (92d:68014) 

Zakhar'yashchev, M. V. Syntax and semantics of superintuitionistic logics. (Russian) 
92b:03033 





Zegleti, Urszula The ontological problematics of classical logics. (Polish) 





69 1992 


03B46 Relevance and entailment 


Avron, Arnon Relevance and paraconsistency—a new approach. III. Cut-free Gentzen-type 
systems. 92a:03032 

Brady, Ross T. Gentzenization and decidability of some contractionless relevant logics. 
92j:03017 

Cohen, Daniel H. Conditionals, quantification, and strong mathematical induction. 
92g:03028 

Dunn, J. Michael Relevant predication. II. Intrinsic properties and internal relations. 
92¢e:03026 

Giambrone, Steve Orlowska’s relevant implications, relevant logics and analytic implication. 
92b:03027 

Mints, Grigorii Efroimovich (with Tammet, Tanel) Condensed detachment is complete for 
relevance logic: a computer-aided proof. 92h:03028 

Schurz, Gerhard Relevant deduction: from solving paradoxes towards a general theory. 
92h:03029 

Tammet, Tanel see Mints, Grigorii Efroimovich, 92h:03028 


Items with secondary classifications in 03B46 


Bollen, A. W. Relevant logic programming. 92h:03015 

Dunn, J. Michael Gaggle theory: an abstraction of Galois connections and residuation, with 
applications to negation, implication, and various logical operators. 92j:03014 

Fagin, Ronald (with Halpern, Joseph Y.; Vardi, Moshe Y.) A nonstandard approach to the 
logical omniscience problem. 92c¢:03019 

Font i Llovet, Josep Ma. (with Rodriguez, Gonzalo) Note on algebraic models for relevance 
logic. 92h:03095 

Fuhrmann, André Models for relevant modal logics. 92g:03023 

Halpern, Joseph Y. see Fagin, Ronald; et al., 92c:03019 

Keene, G. B. The irrelevance of classical logic. 92i:03005 

Lakemeyer, Gerhard A computationally attractive first-order logic of belief. 92a:03025 

(Norman, Jean) see Paraconsistent logic, 92m:03036 

(Priest,Graham) see Paraconsistent logic, 92m:03036 

Rodriguez, Gonzalo see Font i Llovet, Josep Ma., 92h:03095 

(Routley, Richard) see Paraconsistent logic, 92m:03036 

Slaney, John K. The Ackermann constant theorem: a computer-assisted investigation. 
92j:03009 

Vardi, Moshe Y. see Fagin, Ronald; et al., 92c:03019 


Items listed otherwise than by author 
Bibliography: 

Paraconsistency * Paraconsistent logic. 92m:03036 
Paraconsistent logic * Paraconsistent logic. 92m:03036 


03B48 Probability and inductive logic [see also 60A05] 


Aleliunas, Romas A new normative theory of probabilistic logic. (see 92d:68012) 

— A summary of a new normative theory of probabilistic logic. (see 92m:68007) 

Bacchus, Fahiem (with Kyburg, Henry E., Jr.; Thalos, M.) Against conditionalization. 
92e:03027 

Boyer, Alain La logique inductive est-elle possible? [Is inductive logic possible?] (see 
92h:00018) 

Carnes, Robert D. (with Peterson, Philip L.) Intermediate quantifiers versus percentages. 
92m:03027 

da Costa, Newton C. A. (with French, Steven) On Russell’s principle of induction. 
92£:03016 

van Fraassen, Bas C. The geometry of opinion: Jeffrey shifts and linear operators. 

Franklin, Allan see Howson, Colin, 92i:03017 

Fredericks, Marcel see Miller, Steven I. 

French, Steven see da Costa, Newton C. A., 92f:03016 

Frisch, Alan M. see Haddawy, Peter, (92m:68007) 

Gillies, Donald A. A Bayesian proof of a Humean principle. 

(Goldstick, D.) see Niiniluoto, Ilkka 

Goodman, Irwin R. Evaluation of combinations of conditioned information: a history. 
92:03017 

Haddawy, Peter (with Frisch, Alan M.) Modal logics of higher-order probability. (see 
92m:68007) 

Halpern, Joseph Y. An analysis of first-order logics of probability. 92c:03024 

Hosack, John On probabilism and induction. 92i:03016 

Howson, Colin The “old evidence” problem. 

— (with Franklin, Allan) Maher, Mendeleev and Bayesianism. 92i:03017 

Kyburg, Henry E., Jr. see Bacchus, Fahiem; et al., 92e:03027 

Leblanc, Hugues (with Roeper, Peter) Conditionals and conditional probabilities: three 
triviality theorems. (see 92d:68012) 

— see also Roeper, Peter, 92a:03034 

Macnamara, John Understanding induction. 

Maher, Patrick Diachronic rationality. 

— see also Howson, Colin, 92i:03017 

Mayo, Deborah G. Novel evidence and severe tests. 92g:03029 

(Mendeleev, D.) see Howson, Colin, 92i:03017 

Miller, Steven I. (with Fredericks, Marcel) A case for “qualitative confirmation” for the 
social and behavioral sciences. 

Milne, Peter A dilemma for subjective Bayesians—and how to resolve it. 

Niiniluoto, Iikka Discussion: “Truer” [Philos. Sci. 55 (1988), no. 4, 583-597] by D. 
Goldstick and B. O’Neill. 

(O'Neill, Barry) see Niiniluoto, Ilkka 

Pearl, Judea Jeffrey’s rule, passage of experience, and neo-Bayesianism. (see 924:68012) 

Peterson, Philip L. see Carnes, Robert D., 92m:03027 

Pollock, John L. How to use probabilities in reasoning. 

Ray, Greg Probabilistic causality reexamined. 

Rivadulla, Andrés Mathematical statistics and metastatistical analysis. 92a:03033 


03B General logic 


03B50 


Roeper, Peter (with Leblanc, Hugues) Indiscernibility and identity in probability theory. 
92a:03034 

— see also Leblanc, Hugues, (92d:68012) 

Simon, Herbert A. Black ravens and a white shoe. 92g:03030 

Skyrms, Brian Carnapian inductive logic for Markov chains. 92m:03028 

Sober, Elliott Temporally asymmetric inference in a Markov process. 92g:03031 

Talbott, W. J. Two principles of Bayesian epistemology. 

Thalos, M. see Bacchus, Fahiem; et al., 92e:03027 

Urbach, Peter Bayesian methodology: some criticisms answered. 

Wagner, Carl G. Corroboration and conditional positive relevance. 92i:03018 

Weintraub, Ruth Objectivism without objective probabilities. 


Items with secondary classifications in 03B48 

Buntine, Wray Modelling default and likelihood reasoning as probabilistic reasoning. 
92j:68105 

Carlstrom, Ian F. A truth-functional logic for near-universal generalizations. 92g:03061 

Dubois, Didier (with Prade, Henri) Conditioning, nonmonotonic logic and nonstandard 
uncertainty models. 92j:03024 

Haddawy, Peter A temporal probability logic for representing actions. 92i:68150 

Hailperin, Theodore Probability logic in the twentieth century. 92j:01044 

Harel, Eyal (with Lichtenstein, Orna; Pnueli, Amir) Explicit clock temporal logic. (see 
92b:68007) 

Henrion, Max see Wellman, Michael P., (92h:68007) 

Kramosil, Ivan Definition and recognition of classical sets by the rough ones. (Russian 
summary) 92i:04004 

Kyburg, Henry E., Jr. * Science & reason. 92a:00022 

— Probabilistic inference and nonmonotonic inference. (see 92m:68007) 

Lichtenstein, Orna see Harel, Eyal; et al., (92b:68007) 

Linial, Nathan (with Mansour, Yishay; Rivest, Ronald L.) Results on learnability and the 
Vapnik-Chervonenkis dimension. 92¢:68156 

Makowsky, J. A. see Tiomkin, Michael, 92i:03009 

Mansour, Yishay see Linial, Nathan; et al., 92c:68156 

Mason, Ian (with Talcott, Carolyn) Equivalence in functional languages with effects. 
92j:68014 

Papineau, David Reliabilism, induction and scepticism. 

Pearl, Judea (with Verma, T.S.) A theory of inferred causation. 92j:68109 

Pnueli, Amir see Harel, Eyal; et al., (92b:68007) 

Prade, Hicnri see Dubois, Didier, 92j:03024 

Ramsey, F. P. Weight or the value of knowledge. 92¢:01080 

Rivest, Ronald L. see Linial, Nathan; et al., 92c:68156 

(Sahlin, Nils-Eric) see Ramsey, F. P., 92e:01080 

Schatz, Riidiger Formalizing falsification: three delete operations. 92g:03015 

Shin, Hyun Song A reconstruction of Jeffrey’s notion of ratifiability in terms of counterfac- 
tual beliefs. 92k:90009 

Spohn, Wolfgang A general nonprobabilistic theory of inductive reasoning. (see 92m:68007) 

Talcott, Carolyn see Mason, Ian, 92j:68014 

(Thayse, André) see From standard logic to logic programming, 92b:68058 

Tiomkin, Michael (with Makowsky, J. A.) Decidability of finite probabilistic propositional 
dynamic logics. 92i:03009 

Torretti, Roberto * Creative understanding. 92b:00012 

Verma, T.S. see Pearl, Judea, 92j:68109 

Wellman, Michael P. (with Henrion, Max) Qualitative intercausal relations, or explaining 
“explaining away”. (see 92h:68007) 

Wolpert, David H. The relationship between Occam’s razor and convergent guessing. 


Items listed otherwise than by author 


From standard logic to logic programming * From standard logic to logic programming. 
92b:68058 


03B50 Many-valued logic 


Aizenberg, N. N. (with Gergo, E. I; Ivas’kiv, Yu. L.; Semion, I. V.) Multifunctional 
customizable logic modules based on a parametric representation of functions of k-valued 
logic over quasifields. (Russian. English and Ukrainian summaries) 

Alonso, J. A. see Chazarain, J.; et al., 92g:03032 

Anantharaman, Siva (with Bonacina, Maria Paola) An application of automated equational 
reasoning to many-valued logic. (see 92g:68076) 

Anshakov, O. M. (with Rychkov, S. V.) Many-valued logics and their algebras. (Russian) 
92i:03019 

Bonacina, Maria Paola see Anantharaman, Siva, (92g:68076) 

Briales, E. see Chazarain, J.; et al., 92g:03032 

Chazarain, J. (with Riscos, A.; Alonso, J. A.; Briales, E.) Multi-valued logic and Grébner 

+ bases with applications to modal logic. 92g:03032 

Gergo, E.1. see Aizenberg, N. N.; et al. 

Golota, Ya. Ya. On a certain formalization of antonyms logic. 92j:03018 

Gottwald, Siegfried * Mehrwertige Logik. (German) [Multivalued logic] 92i:03020 

Guzman, Fernando The implications in conditional logic. 92e:03028 

Gyudzhenov, I. D. Some properties of “almost all” functions from p,. 92m:03029 

Hahnle, Reiner Towards an efficient tableau proof procedure for multiple-valued logics. 
(see 92d:68007) 

Haikowska, Katarzyna A note on matrices for systems of nonsense-logics. 92b:03028 

Hisdal, Ellen Naturalized logic and chain sets. 92f:03018 

Ivas‘kiv, Yu. L. see Aizenberg, N. N.; et al. 

Konikowska, Beata A two-valued logic for reasoning about different types of consequence in 
Kleene’s three-valued logic. 92g:03033 

Koroleva, Z. E. An algorithm for solving a system of logic equations of a special form. 
(Russian) 92f:03019 

Kudryavtsev, V. V. On the functional system Py. (Russian) 92m:03030 

Lau, Dietlinde (with Schréder, Bert) On the number of closed subsets of linear functions in 
the 6-valued logic. 92g:03034 





03B50 


— Kongruenzen auf abgeschlossenen Mengen linearer Funktionen in mehrwertigen Logiken. 
[Congruences on closed sets of linear functions in many-valued logics] 92e:03029 

Liu, Ren Ren The minimal coverings of precomplete classes in partial three-valued logic. 
(Chinese. English summary) 92g:03035 

Luo, Zhu Kai 1-ary semigroups in regular precomplete classes. (Chinese. English summary) 
92j:03019 

— Unary semigroups in precomplete classes. (Chinese. English summary) 92i:03021 

Mirtchev, Ivan A. Maximally separable subsets of k-valued functions. (Bulgarian. English 
summary) 92d:03014 

Mukaidono, Masao see Yamamoto, Yoshinori, 92h:03031 

Mundici, Daniele The logic of Ulam’s game with lies. (see 92a:03004) 

Nguen Van Khoa Some types of approximation completeness in k-valued logic that are 
connected with groups of transformations of variables. (Russian. English summary) 
92e:03030 

— On a description of a family of G-complete closed classes of k-valued logic. (Russian. 
English summary) 92b:03029 

Nowak, Marek Logics preserving degrees of truth. 92h:03030 

Pkhakadze, K. Sh. A-calculus. (Russian. English and Georgian summaries) 92a:03035 

Riscos, A. see Chazarain, J.; et al., 92g:03032 

Romov, B. A. Functional completeness in the system P x P,. (Russian. English and 
Ukrainian summaries) 92g:03036 

Rychkov, S. V. On the completeness theorem for multivalued structures. (Russian) 

— see also Anshakov, O. M., 92i:03019 

Schréder, Bert see Lau, Dietlinde, 92g:03034 

Semion, I. V. see Aizenberg, N. N.; et al. 


Solov'ev, V. D. Closed classes in k-valued logic with an operation of branching by predicates. 


(Russian) 92:03020 

Song, Fang Min Some algebraic relations between p-models. (Chinese summary) 92f:03021 

Stachniak, Zbigniew Note on effective constructibility of resolution proof systems. 
92g:03037 

Vakarelov, Dimit’r Intuitive semantics for some three-valued logics connected with 
information, contrariety and subcontrariety. 92e:03031 

Wang, Yong Quan The three-valued propositional logic system AY. (Chinese. English 
summary) 92m:03031 

Yamamoto, Yoshinori (with Mukaidono, Masao) P-functions—ternary logic functions 
capable of correcting input failures and suitable for treating ambiguities. 92h:03031 

Zbrzeiny, Andrzej The Hilbert type axiomatization of some three-valued propositional 
logic. 92b:03030 


Items with secondary classifications in 03B50 

Barba Escriba, Juan A multidimensional modal translation for a formal system motivated 
by situation semantics. 92m:03020 

— Two formal systems for situation semantics. 92j:03025 

Belluce, L. P. (with Di Nola, Antonio; Lettieri, A.) On some lattice quotients of MV- 
algebras. 92f:03071 

— (with Di Nola, Antonio; Sessa, Salvatore) Triangular norms, MV-algebras and bold fuzzy 
set theory. 92g:03088 

Blikle, Andrzej Three-valued predicates for software specification and validation. 
92k:68067 

— see also Konikowska, Beata; et al., 92k:68068 

Boicescu, V. (with Filipoiu, Alexandru; Georgescu, G.; Rudeanu, Sergiu) * Lukasiewicz- 
Moisil algebras. 92k:03031 

Bonatti, Piero A. Beliefs as stable conjectures. 92f:68158 

Bonnier, Staffan (with Nilsson, U.; Naslund, T.) A simple fixed point characterization of 
three-valued stable model semantics. 

Bry, Francois Negation in logic programming: a formalization in constructive logic. 
92a:68134b 

Delahaye, Jean-Paul (with Thibau, V.) Programming in three-valued logic. 92a:68022 

Denecke, Klaus Hyperidentities in multiple-valued logics. 92c:08007 

— see also Lau, Dietlinde, 92i:08002 

Di Nola, Antonio see Belluce, L. P.; et al., 92f:03071 and 92g:03088 

Filipoiu, Alexandru see Boicescu, V.; et al., 92k:03031 

Georgescu, G. see Boicescu, V.; et al., 92k:03031 

Haddad, Lucien (with Rosenberg, Ivo G.; Schweigert, D.) A maximal partial clone and a 
Stupecki-type criterion. 92b:08007 

Konikowska, Beata Two over three: a two-valued logic for software specification and 
validation over a three-valued predicate calculus. (see 92g:68008) 

— (with Tarlecki, Andrzej; Blikle, Andrzej) A three-valued logic for software specification 
and validation. 92k:68068 

Lan, Dietlinde (with Denecke, Klaus) Congruences on maximal partial clones and strong 
regular varieties generated by preprimal partial algebras. I. (German and Russian 
summaries) 92i:08002 

Lettieri, A. see Belluce, L. P.; et al., 92f:03071 

(Lukasiewicz, J.) see Boicescu, V.; et al., 92k:03031 

McGee, Vann * Truth, vagueness, and paradox. 92k:03004 

(Moisil, Gr. C.) see Boicescu, V.; et al., 92k:03031 

Mundici, Daniele Approximately finite-dimensional C*-algebras, abelian /-groups and 
Lukasiewicz’s infinite-valued logic. 92a:46065 

Naslund, T. see Bonnier, Staffan; et al. 

Negri, Maurizio (with Pelagatti, G.; Sbattella, L.) Formal semantics of SQL queries. 
92i:68033 

Nilsson, U. see Bonnier, Staffan; et al. 

Ostermann, Pascal Many-valued modal logics: uses and predicate calculus. 92e:03024 

Pelagatti,G. see Negri, Maurizio; et al., 921:68033 

Pigozzi, Don Data types over multiple-valued logics. 92e:68124 

Postma, Stef W. The £/-calculus and derived program forms. 92j:03013 

Przymusiniski, Teodor C. Extended stable semantics for normal and disjunctive programs. 
(see 924:68014) 

— Three-valued nonmonotonic formalisms and semantics of logic programs. 92h:03035 

Rosenberg, Ivo G. see Haddad, Lucien; et al., 92b:08007 


MATHEMATICAL LOGIC AND FOUNDATIONS 


Rudeanu, Sergiu see Boicescu, V.; et al., 92k:03031 

Sacca, Domenico (with Zaniolo, Carlo) Partial models and three-valued models in logic 
programs with negation. 92f:68023 

Sbattella, L. see Negri, Maurizio; et al., 92i:68033 

Schweigert, D. see Haddad, Lucien; et al., 92b:08007 

Sessa, Salvatore see Belluce, L. P.; et al., 92g:03088 

Skobtsov, Yu. A. Boolean-differential calculus and many-valued logics. (Russian) 
92b:94056 

Szendrei, Agnes Symmetric algebras. 92¢:08005 

Tarlecki, Andrzej see Konikowska, Beata; et al., 92k:68068 

Thibau, V. see Delahaye, Jean-Paul, 92a:68022 

Vinogradov, Yu. A. On the design of three-valued MDP-circuits. (Russian) (see 92d:00012) 

Witteveen, Cees Skeptical reason maintenance is tractable. 92i:68161 

— A skeptical semantics for truth maintenance. (see 92d:68020) 

Zaniolo, Carlo see Sacca, Domenico, 92f:68023 

Zhang, Dong Mo The equivalence of medium propositional calculus MP* and 3-valued 
Lukasiewicz propositional calculus L3. 92¢e:03035 


03B52 Fuzzy logic [see also 94D05] 


Abe, T. see Akiyama, Y.; et al. 

Akiyama, Y. (with Abe, T.; Mitsunaga, T.; Koga, H.) A conceptual study of max-* 
composition on the correspondence of base spaces and its applications in determining 
fuzzy relations. 

Cappelle, B. (with Kerre, Etienne E.; Da, Ruan; Vanmassenhove, F. R.) Characterization of 
binary operations on the unit interval satisfying the generalized modus ponens inference 
tule. 92h:03032 

Chang, T.C. (with Hasegawa, K.; Ibbs,C. W.) The effects of membership function on fuzzy 
reasoning. 92h:03033 

Cheng, Yang Jin A discussion on solutions to fuzzy logic inequalities. (Chinese. English 
summary) 

Da, Ruan see Cappelle, B.; et al., 92h:03032 

Dombi, Jézsef (with Iwanski, Cezary) Rational, not strictly monotonous logic operators. 
(Russian and Polish summaries) 92e:03032 

Dubois, Didier (with Prade, Henri) Fuzzy sets in approximate reasoning. I. Inference with 
possibility distributions. 92c:03025a 

— (with Lang, Jéréme; Prade, Henri) Fuzzy sets in approximate reasoning. II. Logical 
approaches. 92c:03025b 

— (with Prade, Henri) On the ranking of ill-known values in possibility theory. 92h:03034 

Fang, Kwang Ya see Liu, Xu Hua; et al., 92a:03036 

Fodor, Janos C. On fuzzy implication operators. 92g:03038 

Fujita, Shiro see Yamamoto, Yoshinori, 92c:03028 

Gao, Jian-Ming see Nakamura, Akira! , 92j:03022 

Gisolfi, Antonio An algebraic fuzzy structure for approximate reasoning. 92j:03020 

Gupta, Madan M. (with Qi, J.) Connectives (AND, OR, NOT) and 7-operators in fuzzy 
reasoning. 92j:03021 

— (with Qi, J.) Theory of T-norms and fuzzy inference methods. 92c:03026 

Hasegawa, K. see Chang, T. C.; et al., 92h:03033 

Hellendoorn, Hans Fuzzy numbers and approximate reasoning. 92m:03032 

— The generalized modus ponens considered as a fuzzy relation. 92m:03033 

Ibbs, C. W. see Chang, T. C.; et al., 92h:03033 

Iwariski, Cezary see Dombi, Jézsef, 92¢:03032 

Kacprzyk, Janusz Compatibility relations as a representation of IF-THEN rules and their 
use in possibilistic inference. 92b:03031 

Keller, James M. see Nafarieh, Asghar, 92c:03027 

Kerre, Etienne E. see Cappelle, B.; et al., 92h:03032 

Kienitz, Karl Heinz An algorithm for the induction of fuzzy decision rules. (see 92k:68001) 

Koga, H. see Akiyama, Y.; et al. 

Lang, Jéréme see Dubois, Didier; et al., 92c:03025b 

Liu, Xu Hua (with Fang, Kwang Ya; Tsai, Jing Pha; Weigert, Thomas) A-resolution and 
interpretation of A-implication in fuzzy operator logic. 92a:03036 

Mitsunaga, T. see Akiyama, Y.; et al. 

Nafarieh, Asghar (with Keller, James M.) A new approach to inference in approximate 
reasoning. 92c:03027 

Nakamura, Akira! (with Gao, Jian-Ming) On a KTB-modal fuzzy logic. 92j:03022 

Novak, Vilém The unifying role of fuzzy logic in fuzzy set theory. 92m:03034 

Prade, Henri see Dubois, Didier, 92c:03025a; 92c:03025b and 92h:03034 

Qi, J. see Gupta, Madan M., 92c:03026 and 92j:03021 

Smets, Philippe Implication and modus ponens in fuzzy logic. 92j:03023 

Trillas, Enric A brief introduction to fuzzy logic. (Spanish) 

Tsai, Jing Pha see Liu, Xu Hua; et al., 92a:03036 

Turunen, Esko On fuzzy intuitionistic logic. 92m:03035 

— A note on Pavelka’s fuzzy logic. 

Vanmassenhove, F.R. see Cappelle, B.; et al., 92h:03032 

Weigert, Thomas see Liu, Xu Hua; et al., 92a:03036 

Wa, Wang Ming Equivalence of some methods on fuzzy reasoning. 

Yamamoto, Yoshinori (with Fujita, Shiro) Fuzzy majority functions. 92c:03028 

Zhang, Yong Qing A mathematical representation of negative fuzzy propositions. (Chinese. 
English summary) 


Items with secondary classifications in 03B52 


Chang, Chin Fu see Chen, Shyi Ming; et al., 92c:68181 

Chen, Shyi Ming (with Ke, Jyh Sheng; Chang, Chin Fu) An inexact reasoning technique 
based on extended fuzzy production rules. 92¢:68181 

Ding, Liya (with Mukaidono, Masao) A proposal on approximate reasoning based on 
revision principle and fixed value law. 

Di Nola, Antonio (with Sessa, Salvatore; Pedrycz, Witold) A study on approximate 
reasoning mechanisms via fuzzy relation equations. 

Dombi, Jézsef (with Porkolab, Lorant) Measures of fuzziness. 92m:04002 

Dutta, Soumitra Approximate reasoning by analogy to answer null queries. 92c:68178 





71 1992 


Gottwald, Siegfried * Mehrwertige Logik. (German) [Multivalued logic] 92i:03020 

Hirota, Kaoru (with Ozawa, Kazuhiro) The concept of fuzzy flip-flop. 92c:94012 

Hisdal, Ellen Naturalized logic and chain sets. 92f:03018 

Hohle, Ulrich (with Stout, Lawrence Neff) Foundations of fuzzy sets. 92c:04009 

Kacprzyk, Janusz (with Yager, Ronald R.) Using fuzzy logic with linguistic quantifiers in 
multiobjective decision making and optimization: a step towards more human-consistent 
models. (see 92a:90053) 

Kandel, Abraham see Oh, Kyung-Whan, 92a:68139 

Ke, Jyh Sheng see Chen, Shyi Ming; et al., 92c:68181 

Keller, James M. (with Yager, Ronald R.; Tahani, Hossein) Neural network implementa- 
tion of fuzzy logic. 

Lee, C. S. George see Lin, Chin-Teng 

Lehmann, Ingo (with Weber, Richard; Zimmermann, Hans-Jiirgen) Die Theorie der 
unscharfen Mengen. (English summary) [Fuzzy set theory] 

Liau, Churn Jung (with Lin, I P’éng) Fuzzy term-rewriting system. 92g:68072 

Lin, Chin-Teng (with Lee, C. S. George) Neural-network-based fuzzy logic control and 
decision system. 

Lin, I P’éng see Liau, Churn Jung, 92g:68072 

Mukaidono, Masao see Ding, Liya 

Novak, Vilém Fuzzy set theory as a theory of vagueness. 92c:04012 

Oh, Kyung-Whan (with Kandel, Abraham) Coimplication and its application to fuzzy 
expert systems. 92a:68139 

Ozawa, Kazuhiro see Hirota, Kaoru, 92c:94012 

Pedrycz, Witold see Di Nola, Antonio; et al. 

Perfil‘eva, I.G. Applications of the theory of fuzzy sets. (Russian) 92a:04010 

Porkolab, Lérant see Dombi, Jézsef, 92m:04002 

Sessa, Salvatore see Di Nola, Antonio; et al. 

Stout, Lawrence Neff see Hihle, Ulrich, 92c:04009 

Switalski, Zbigniew Choice functions associated with fuzzy preference relations. (see 
92g:90015) 

Tahani, Hossein see Keller, James M.; et al. 

Weber, Richard see Lehmann, Ingo; et al. 

Yager, Ronald R. see Keller, James M.; et al. and Kacprzyk, Janusz, (92a:90053) 

Yen, John Computing generalized belief functions for continuous fuzzy sets. 

Ying, Ming Sheng A new approach for fuzzy topology. I. 92b:54015 

Zimmermann, Hans-Jiirgen see Lehmann, Ingo; et al. 


03B53 Paraconsistent logic 


Alves, Elias H. The first axiomatization of a paraconsistent logic. 

da Costa, Newton C. A. Logics that are both paraconsistent and paracomplete. (Italian 
summary) 92i:03022 

(Norman, Jean) see Paraconsistent logic, 92m:03036 

Popov, Viadimir M. Sequential formulations of paraconsistent logical systems. (Russian) 
92a:03037 

(Priest, Graham) see Paraconsistent logic, 92m:03036 

(Routley, Richard) see Paraconsistent logic, 92m:03036 

Urbas, Igor On subsystems of the system J, of Arruda and da Costa. 92g:03039 


Items listed otherwise than by author 
Bibliography: 

Paraconsistency * Paraconsistent logic. 92m:03036 
Paraconsistent logic * Paraconsistent logic. 92m:03036 


Items with secondary classifications in 03B53 

Avron, Arnon Relevance and paraconsistency—a new approach. III. Cut-free Gentzen-type 
systems. 92a:03032 

Cohen, Daniel H. Gédelian incompleteness and paraconsistent logics. Or: why Gédel’s 
paradox is really a dilemma. 92m:03037 

Dalla Chiara, Maria Luisa Intensions, probabilities, and logical indeterminism in the 
semantics of quantum theory. 92k:03029 

Pimentel, Stephen G. (with Rodi, William L.) Belief revision and paraconsistency in a logic 
programming framework. 92f:68167 

Rodi, William L. see Pimentel, Stephen G., 92f:68167 

Varzi, Achille C. Complementary sentential logics. 92b:03007 


03B55 Intermediate logics 


Galanter, G.I. (with Muravitskii, A. Yu.) Intermediate logics with the same disjunctionless 
fragment as intuitionistic logic. (Russian. English and Moldavian summaries) 92m:03038 

Khomich, V.I. Properties of superintuitionistic propositional calculi. (Russian) 92c:03029 

— Superintuitionistic propositional logics connected with partially ordered sets. (Russian) 
92i:03023 

Muravitskii, A. Yu. see Galanter, G. I., 92m:03038 

Sasaki, Katsumi The simple substitution property of Gédel’s intermediate propositional 
logics S,’s. 92i:03024 

Suzuki, Nobu-Yuki Some syntactical properties of intermediate predicate logics. 92a:03038 

— Kripke bundles for intermediate predicate logics and Kripke frames for intuitionistic 
modal logics. 92g:03040 

— An extension of Ono’s completeness result. 92a:03039 

Takano, Mitio (with Yamakami, Tomoyuki) Classification of intermediate predicate logics 
under the type of deductive completeness. 92g:03041 

Yamakami, Tomoyuki see Takano, Mitio, 92g:03041 

Yokota, Shin’ichi Axiomatization of the first-order intermediate logics of bounded Kripkean 
heights. I. 92f:03022 

Zakhar'yashchev, M. V. Syntax and semantics of superintuitionistic logics. (Russian) 
92b:03033 


03B General logic 


03B60 


Items with secondary classifications in 03B55 

Bencivenga, Ermanno (with Lambert, Karel; van Fraassen, Bas C.) * Logic, bivalence and 
denotation. 92i:03001 

van Fraassen, Bas C. see Bencivenga, Ermanno; et al., 92i:03001 

Khomich, V. I. On the embedding of implicators. (Russian) 92¢:03092 

Lambert, Karel see Bencivenga, Ermanno; et al., 92i:03001 

Shekhtman, V. B. Modal counterparts of Medvedev logic of finite problems are not finitely 
axiomatizable. 92b:03024 

Skura, Tomasz A complete syntactical characterization of the intuitionistic logic. 92c:03009 

Umezawa, Toshio An extension of intermediate predicate logics to higher order. 92g:03010 

Zakhar'yashchev, M. V. Modal companions of superintuitionistic logics: syntax, semantics 
and preservation theorems. (Russian) 92b:03034 


03B60 Other nonclassical logic 


Abrusci, V. Michele Noncommutative intuitionistic linear logic. 92b:03035 

Blecksmith, Richard (with Null, Gilbert) Matrix representation of Husserl’s part-whole- 
foundation theory. 92c:03030 

(Bystrov, P.1.) see von Plato, Jan, 92b:03036 

DoSen, Kosta Addenda and corrigenda to: “Sequent-systems and groupoid models. I” 
[Studia Logica 47 (1988), no. 4, 353-385; MR 90g:03029]. 92d:03015 

Dubois, Didier (with Prade, Henri) Conditioning, nonmonotonic logic and nonstandard 
uncertainty models. 92j:03024 

Foo, Norman Y. (with Rao, Anand S.) Belief revision in a microworld. 

Fuhrmann, André Conditional logics and cumulative logics. 

Hautamaki, Antti Partial information and finite approximation of truth. (Russian) 
92a:03040 

Kraus, Sarit (with Lehmann, Daniel J.; Magidor, Menachem) Nonmonotonic reasoning, 
preferential models and cumulative logics. 92e:03033 

Langholm, Tore What is a Horn clause in partial logic? 92a:03041 

Lehmann, Daniel J. (with Magidor, Menachem) Preferential logics: the predicate calculus 
case (extended abstract). (see 92b:68021) 

— see also Kraus, Sarit; et al., 92e:03033 

Lifschitz, Viadimir Circumscriptive theories: a logic-based framework for knowledge 
representation [MR 90f:03050]. (see 92d:03003) 

Lin, Fang Zhen (with Shoham, Yoav) Epistemic semantics for fixed-points nonmonotonic 
logics. 92c:03031 

Magidor, Menachem see Kraus, Sarit; et al., 92e:03033 and Lehmann, Daniel J., (92b:68021) 

Majcher, B. The quarrel theorem—first attempt to the logic of lie. 92e:03034 

Marek, Wiktor (with Nerode, Anil; Remmel, Jeffrey B.) A theory of nonmonotonic rule 
systems. (see 92b:68007) 

Nait Abdallah, M.-A. Kernel knowledge versus belt knowledge in default reasoning: a logical 
approach. (see 92b:68002) 

Nepeivoda, N. N. On constructive logics. (Russian) 92a:03042 

Nerode, Anil see Marek, Wiktor; et al., (92b:68007) 

Null, Gilbert see Blecksmith, Richard, 92c:03030 

Oberlander, Jon see Stenning, Keith, (92m:68006) 

Pearl, Judea System Z: a natural ordering of defaults with tractable applications to 
nonmonotonic reasoning. 92c:03032 

von Plato, Jan The logic of experiments. (Russian) 92b:03036 

Prade, Henri see Dubois, Didier, 92j:03024 

Pratt, Vaughan Action logic and pure induction. 92d:03016 

Przymusitiski, Teodor C. Three-valued nonmonotonic formalisms and semantics of logic 
programs. 92h:03035 

Rao, Anand S. see Foo, Norman Y. 

Rayner, Manny On the applicability of nonmonotonic logic to formal reasoning in 
continuous time. 92g:03042 

Remmel, Jeffrey B. see Marek, Wiktor; et al., (92b:68007) 

Segerberg, Krister Validity and satisfaction in imperative logic. 92i:03025 

(Shalak, V.1I.) see Hautamaki, Antti, 92a:03040 

Shin, Sun-Joo A situation-theoretic account of valid reasoning with Venn diagrams. (see 
92m:68006) ; 

Shoham, Yoav see Lin, Fang Zhen, 92c:03031 

Smirnov, Vladimir Aleksandrovich* Assertion and predication. Combined calculi of 
sentences and events. (Russian) 92b:03037 

Stenning, Keith (with Oberlander, Jon) Reasoning with words, pictures, and calculi: 
computation versus justification. (see 92m:68006) 

Tang, Tong Gao Programming in temporal tonic reasoning. 92g:03043 

Thomason, Steven K. Toward a formalization of dialectical logic. 92d:03017 

Thompson, Bruce E. R. Why is conjunctive simplification invalid? 92g:03044 

Truszczyiiski, Mirostaw Embedding default logic into modal nonmonotonic logics. 
92g:03045 

Wang, Chenghui see Yuan, Li-Yan; et al., (92b:68002) 

Xiao, Xi An (with Zhu, Wu Jia) An extension of the propositional calculus system of 
medium logic. II. (Chinese summary) 

You, Jia-Huai see Yuan, Li-Yan; et al., (92b:68002) 

Yuan, Li-Yan (with You, Jia-Huai; Wang, Chenghui) A proof-theoretic framework for 
nonmonotonic reasoning and logic programming. (see 92b:68002) 

Zhang, Dong Mo The equivalence of medium propositional calculus MP” and 3-valued 
Lukasiewicz propositional calculus L3. 92¢:03035 

Zhu, Wu Jia see Xiao, Xi An; et al. 








Items with secondary classifications in 03B60 

Allemang, Dean see Bylander, Tom; et al., 92d:68105 

Asher, Nicholas (with Morreau, Michael) Commonsense entailment: a modal theory of 
nonmonotonic reasoning. 92d:03010 

Baker, Andrew B. Nonmonotonic reasoning in the framework of situation calculus. 

Balkenius, Christian (with Gardenfors, Peter) Nonmonotonic inferences in neural 
networks. (see 92h:68007) 








03B60 


Baral, Chitta (with Subrahmanian, V.S.) Dualities between alternative semantics for logic 
programming and nonmonotonic reasoning (extended abstract). (see 92b:68009) 

Bell, John Pragmatic logics. 92h:03037 

Biacino, Loredana (with Gerla, Giangiacomo) Connection structures. 92i:03067 

Bonatti, Piero A. Beliefs as stable conjectures. 92f:68158 

Brady, Ross T. Gentzenization and decidability of some contractionless relevant logics. 
92j:03017 

Buchsbaum, Arthur see Pequeno, Tarcisio, 92i:68157 

Bylander, Tom (with Allemang, Dean; Tanner, Michael C.; Josephson, John R.) The 
computational complexity of abduction. 924:68105 

(Clarke, Michael R. B.) see Uncertainty conditionals and nonmonotonicity, 92i:68011 

Cross, Charles B. Belief revision, nonmonotonic reasoning, and the Ramsey test. (see 
924:68012) 

Czajsner, Jerzy Subrelations of physical relations. 92d:08001 

— Physical relations and their abstraction properties. 92d:08002 

— A Cartesian product of physical relations. 92d:08003 

Delgrande, James P. (with Jackson, W. Ken) Default logic revisited. (see 92h:68007) 

Doherty, Patrick NM3—a three-valued cumulative nonmonotonic formalism. 92a:68135 

Doyle, Jon (with Wellman, Michael P.) Impediments to universal preference-based default 
theories. 92d:68107 

Dubois, Didier (with Prade, Henri) Conditional objects and nonmonotonic reasoning. 
92i:68149 

— (with Prade, Henri) Epistemic entrenchment and possibilistic logic. 92k:68111 

Etherington, David W. (with Kraus, Sarit; Perlis, Donald) Nonmonotonicity and the scope 
of reasoning. 92m:68112 

Fischer, Walther L. The logic of problem solving—structures and limitations. (Malayan 
summary) 92k:03002 

Freund, Michael (with Lehmann, Daniel J.; Morris, Paul) Rationality, transitivity, and 
contraposition. 92m:68113 

(Froidevaux, Christine) see Uncertainty conditionals and nonmonotonicity, 92i:68011 

Fujiwara, Yasushi (with Honiden, Shinichi) On logical foundations of the ATMS. (see 
92d:68020) 

— (with Honiden, Shinichi) A nonmonotonic temporal logic and its Kripke semantics. 
92b:0301S 

Gardenfors, Peter Nonmonotonic inferences based on expectations: a preliminary report. 
(see 92h:68007) 

— see also Balkenius, Christian, (92h:68007) 

Gasser, Les Social conceptions of knowledge and action: DAI foundations and open 
systems semantics. 92f:68174 

Geerts, P. (with Vermeir, D.) Credulous and autoepistemic reasoning using ordered logic. 
92f:68161 

— see also Vermeir, D.; et al., 92f:68171 

Gelfond, Michael (with Lifschitz, Vladimir; Przymusifiska, Halina; Truszczynski, Miroslaw) 
Disjunctive defaults. (see 92h:68007) 

Gerla, Giangiacomo see Biacino, Loredana, 92i:03067 

Giles, Robin Introduction to a logic of assertions. (see 92d:68012) 

Gomolitiska, Anna A nonstandard approach to autoepistemic logic. 

(Goodman, Irwin R.) see Conditional logic in expert systems, 92i:68006 

(Grégoire, Eric) see Uncertainty conditionals and nonmonotonicity, 92i:68011 

Grosof, Benjamin N. Generalizing prioritization. (see 92h:68007) 

(Gupta, Madan M.) see Conditional logic in expert systems, 92i:68006 

Henrion, Max see Wellman, Michael P., (92h:68007) 

Hewitt, Carl Open information systems semantics for distributed artificial intelligence. 
92:68173 

Honiden, Shinichi see Fujiwara, Yasushi, 92b:03019 and (924:68020) 

Horty, John F. see Kraus, Sarit; et al. 

Jackson, Peter (with Pais, John) Semantic accounts of belief revision. (see 92d:68020) 

Jackson, W. Ken see Delgrande, James P., (92h:68007) 

Jiang, Yue Jun Autoepistemic predicate logic. 92i:68153 

Josephson, John R. see Bylander, Tom; et al., 924:68105 

Kakas, A.C. (with Mancarella, Paolo) Negation as stable hypotheses. 92f:68022 

Kaminski, Michael see Tiomkin, Michael, (92b:68021) 

Kautz, Henry A. (with Selman, Bart) Hard problems for simple default logics. 92e:68177 

Kohlas, Jiirg The reliability of reasoning with unreliable arguments. 92h:68082 

Kraus, Sarit (with Perlis, Donald; Horty, John F.) Reasoning about ignorance: a note on the 
Bush-Gorbachev problem. 

— see also Etherington, David W.; et al., 92m:68112 

Kyburg, Henry E., Jr. Probabilistic inference and nonmonotonic inference. (see 92m:68007) 

Lamarre, Philippe S4 as the conditional logic of nonmonotonicity. (see 92h:68007) 

Lehmann, Daniel J. see Freund, Michael; et al., 92m:68113 

Lifschitz, Viadimir Toward a metatheory of action. 92j:68107 

— see also Gelfond, Michael; et al., (92h:68007) 

Mancarella, Paolo see Kakas, A. C., 92f:68022 

Marek, Wiktor (with Truszczynski, Miroslaw) Computing intersection of autoepistemic 
expansions. 92f:68164 

— (with Shvarts, G. F.; Truszczynski, Miroslaw) Modal nonmonotonic logics: ranges, 
characterization, computation. 92i:68156 

— (with Truszczynski, Miroslaw) Autoepistemic logic. 92j:68108 

— see also Logic programming and nonmonotonic reasoning, 92b:68009 

Marquis, Jean-Pierre Approximations and truth spaces. 92h:03006 

Morreau, Michael see Asher, Nicholas, 92d:03010 

Morris, Paul see Freund, Michael; et al., 92m:68113 

Nait Abdallah, M.-A. Syntax and semantics of a monotonic framework for nonmonotonic 
reasoning. (see 92g:68008) 

Nebel, Bernhard Belief revision and default reasoning: syntax-based approaches. (see 
92h:68007) 

(Nerode, Anil) see Logic programming and nonmonotonic reasoning, 92b:68009 

(Nguyen, Hung T.) see Conditional logic in expert systems, 92i:68006 

Niemela, Ilkka Towards automatic autoepistemic reasoning. 92a:68141 

Nate, Donald see Vermeir, D.; et al., 92f:68171 


MATHEMATICAL LOGIC AND FOUNDATIONS 


Pais, John see Jackson, Peter, (92d:68020) 

Peng, Yun (with Reggia, James A.) * Abductive inference models for diagnostic problem- 
solving. 92f:68157 

Pequeno, Tarcisio (with Buchsbaum, Arthur) The logic of epistemic inconsistency. 
92i:68157 

Perlis, Donald see Etherington, David W.; et al., 92m:68112 and Kraus, Sarit; et al. 

Prade, Henri see Dubois, Didier, 92i:68149 and 92k:68111 

Przymusitiska, Halina see Gelfond, Michael; et al., (92h:68007) 

Przymusitiski, Teodor C. Autoepistemic logics of closed beliefs and logic programming. 
92j:68110 

Ramsay, Allan * Formal methods in artificial intelligence. 92b:68053 

— * Formal methods in artificial intelligence. 92i:68130 

Rasiowa, Helena Mechanical proof systems for logic: reaching consensus by groups of 
intelligent agents. 92c:03012 

Reggia, James A. see Peng, Yun, 92f:68157 

(Rogers, G.S.) see Conditional logic in expert systems, 92i1:68006 

Rott, Hans Two methods of constructing contractions and revisions of knowledge systems. 
92g:68136 

Satoh, Ken Nonmonotonic reasoning by minimal belief revision. (see 92k:68002) 

Schaub, Torsten Assertional default theories: a semantical view. 92i:68159 

Selman, Bart see Kautz, Henry A., 92e:68177 

Shoham, Yoav Efficient reasoning about rich temporal domains [MR 90¢e:68084]. (see 
92d:03003) 

Shvarts, G. F. see Marek, Wiktor; et al., 92i:68156 

(Smets, Philippe) see Uncertainty conditionals and nonmonotonicity, 92i:68011 

Sorensen, Roy A. Vagueness within the language of thought. 

Subrahmanian, V.S. see Baral, Chitta, (92b:68009) and Logic programming and nonmono- 
tonic reasoning, 92b:68009 

Tanner, Michael C. see Bylander, Tom; et al., 92d:68105 

Thomason, Richmond H. Propagating epistemic coordination through mutual defaults. I. 
92b:03025 

— see also Philosophical logic and artificial intelligence, 92d:03003 

Tiomkin, Michael (with Kaminski, Michael) Nonmonotonic default modal logics 
(extended abstract). (see 92b:68021) 

Truszczytiski, Mirosiaw Modal nonmonotonic logic with restricted application of the 
negation as failure to prove rule. 92j:68111 

— see also Marek, Wiktor, 92f:68164; 92i:68156; 92j:68108 and Gelfond, Michael; et al., 
(92h:68007) 

Vermeir, D. (with Nute, Donald; Geerts, P.) A defeasible logic for multi-expert systems. 
92f:68171 

— see also Geerts, P., 92f:68161 

Vreeswijk, Gerard The feasibility of defeat in defeasible reasoning. (see 92h:68007) 

Wellman, Michael P. (with Henrion, Max) Qualitative intercausal relations, or explaining 
“explaining away”. (see 92h:68007) 

— see also Doyle, Jon, 92d:68107 


Items listed otherwise than by author 


Conditional logic in expert systems * Conditional logic in expert systems. 92i:68006 
Logic programming and nonmonotonic reasoning * Logic programming and nonmonotonic 
reasoning. 92b:68009 
Philosophical logic and artificial intelligence * Philosophical logic and artificial intelligence. 
92d:03003 
Special Issue: 
Uncertainty conditionals and nonmonotonicity * Uncertainty conditionals and nonmono- 
tonicity. 92i:68011 
Uncertainty conditionals and nonmonotonicity * Uncertainty conditionals and nonmono- 
tonicity. 92i:68011 
Washington, DC * Logic programming and nonmonotonic reasoning. 92b:68009 
Workshop: 
Logic Programming and Nonmonotonic Reasoning * Logic programming and nonmono- 
tonic reasoning. 92b:68009 


03B65 Logic of natural languages [see also 68805, 92K20] 


Barba Escriba, Juan Two formal systems for situation semantics. 92j:03025 

Belnap, Nuel (with Perloff, Michael) Seeing to it that: a canonical form for agentives. (see 
92d:68012) 

— Declaratives are not enough. 92e:03036 

Berwick, Robert C. Computational complexity theory and natural language: a paradox 
resolved. 92h:03036 

Edelberg, Walter A case for a heretical deontic semantics. 92d:03018 

Gardent, Claire Dynamic semantics and VP-ellipsis. 92e:03037 

Groenendijk, Jeroen (with Stokhof, Martin) Two theories of dynamic semantics. 92i:03026 

Lascarides, Alex The progressive and the imperfective paradox. 92i:03027 

Lowe, E. J. Noun phrases, quantifiers, and generic names. 

— see also Ramachandran, Murali 

Mackenzie, Jim Four dialogue systems. 92c:03033 

McLaughlin, Robert N. * On the logic of ordinary conditionals. 92¢:03038 

Pal’chunov, D. E. Simple and countably saturated J-algebras. (Russian) (see 92g:03005) 

Pereira, Fernando C. N. Semantic interpretation as higher-order deduction. 92e:03039 

Perloff, Michael see Belnap, Nuel, (92d:68012) 

Ramachandran, Murali Conditionals and transitivity. Response to: “Conditionals, context, 
and transitivity” [Analysis (Oxford) 50 (1990), no. 2, 80-87] by E. J. Lowe. 

Reyes, Gonzalo E. A topos-theoretic approach to reference and modality. 92m:03039 

Salmon, Nathan The pragmatic fallacy. 

Sherry, David The inconspicuous role of paraphrase. 92d:03019 

Smith, Quentin The co-reporting theory of tensed and tenseless sentences. 92b:03038 

Stokhof, Martin see Groenendijk, Jeroen, 92i:03026 

Thiopoulos, Constantin Meaning metamorphosis in the semiotic topos. 

Wilson, George M. Reference and pronominal descriptions. 





73 1992 


Zhou, Jing Ye Recognition of logic quantifiers in modern Chinese sentences. (Chinese. 
English summary) 

Zielonka, Wojciech Linear axiomatics of commutative product-free Lambek calculus. 
92c:03034 


Items with secondary classifications in 03B65 

Almog, Joseph The subject-predicate class. I, II. 

Asher, Nicholas Intentional paradoxes and an inductive theory of propositional quantifica- 
tion. 92¢:03016 

— (with Morreau, Michael) Commonsense entailment: a modal theory of nonmonotonic 
reasoning. 924:03010 

van Benthem, Johan * Language in action. 92g:03002 

Berwick, Robert C. see Ristad, Eric Sven, 92a:68123 

Binot, Jean-Louis (with Bruffaerts, Albert; Delsarte, Philippe; Dubois, Eric; Dupont, Pierre; 
Hagelstein, Jacques; Henin, Eric; Kamp, Yves; van Lamsweerde, Axel; van der Linden, 
Frank; Miiller, Jean-Pierre; Rifaut, André; Snyers, Dominique; Thayse, André) * From 
natural language processing to logic for expert systems. 92k:68107 

Bruffaerts, Albert see Binot, Jean-Louis; et al., 92k:68107 

Burdick, Howard A notorious affair called exportation. 92m:03022 

Buszkowski, Wojciech (with Penn, Gerald) Categorial grammars determined from 
linguistic data by unification. 92g:68119 

Carnes, Robert D. (with Peterson, Philip L.) Intermediate quantifiers versus percentages. 
92m:03027 

Clifford, James * Formal semantics and pragmatics for natural language querying. 
92d:68094 

Cooper, Richard P. Persistence and structural determination. (see 92m:68006) 

Cooper, Robin (with Kamp, Johan A. W.) Negation in situation semantics and discourse 
representation theory. (see 92m:68006) 

Delsarte, Philippe see Binot, Jean-Louis; et al., 92k:68107 

Dubois, Eric see Binot, Jean-Louis; et al., 92k:68107 

Dupont, Pierre see Binot, Jean-Louis; et al., 92k:68107 

Gawron, Jean Mark (with Nerbonne, John; Peters, Stanley) The absorption principle and 
E-type anaphora. (see 92m:68006) 

Ginzburg, Jonathan Questions without answers, wh-phrases without scope: a semantics for 
direct wh-questions and their responses. (see 92m:68006) 

Golota, Ya. Ya. On a certain formalization of antonyms logic. 92j:03018 

Hagelstein, Jacques see Binot, Jean-Louis; et al., 92k:68107 

Hasida, K6éiti Reducing complexity of constraint-based grammars. (see 92m:68006) 

Henin, Eric see Binot, Jean-Louis; et al., 92k:68107 

Kamp, Johan A. W. see Cooper, Robin, (92m:68006) 

Kamp, Yves see Binot, Jean-Louis; et al., 92k:68107 

King, Jeffrey C. Instantial terms, anaphora and arbitrary objects. 92a:03007 

van Lamsweerde, Axel see Binot, Jean-Louis; et al., 92k:68107 

(Leibniz, Gottfried Wilhelm) see Mugnai, Massimo, 924:03001 

van der Linden, Frank see Binot, Jean-Louis; et al., 92k:68107 

Maciaszek, Janusz On different notions of quantifiers. (Polish summary) 92¢:03053 

McGee, Vann * Truth, vagueness, and paradox. 92k:03004 

Minami, Toshiro see Sawamura, Hajime; et al., (92d:68014) 

Mori, Tatsunori (with Nakagawa, Hiroshi) A formalization of metaphor understanding in 
situation semantics. (see 92m:68006) 

Morreanu, Michael see Asher, Nicholas, 92d:03010 

Mugnai, Massimo A systematical approach to Leibniz’s theory of relations and relational 
sentences. 924:03001 

Miller, Jean-Pierre see Binot, Jean-Louis; et al., 92k:68107 

Nakagawa, Hiroshi see Mori, Tatsunori, (92m:68006) 

Nerbonne, John see Gawron, Jean Mark; et al., (92m:68006) 

Nute, Donald Historical necessity and conditionals. 92j:03015 

Ohashi, Kyoko see Sawamura, Hajime; et al., (92d:68014) 

Orman, Gabriel V. The probability of alternating generation of the words by a formal 
grammar. (Romanian summary) 

Patton, Thomas E. On the ontology of branching quantifiers. 92f:03033 

Penn, Gerald see Buszkowski, Wojciech, 92g:68119 

Peters, Stanley see Gawron, Jean Mark; et al., (92m:68006) 

Peterson, Philip L. see Carnes, Robert D., 92m:03027 

Poesio, Massimo Relational semantics and scope ambiguity. (see 92m:68006) 

Preti, Consuelo Opacity, belief and analyticity. 

Rifaut, André see Binot, Jean-Louis; et al., 92k:68107 

Ristad, Eric Sven (with Berwick, Robert C.) Computational consequences of agreement and 
ambiguity in natural language. 92a:68123 

Sawamura, Hajime (with Minami, Toshiro; Yokota, Kaoru; Ohashi, Kyoko) A logic 
programming approach to specifying logics and constructing proofs. (see 92d:68014) 

Schwartz, Daniel G. A system for reasoning with imprecise linguistic information. 
921:68168 

Seuren, Pieter A.M. Neue Entwicklungen im Wahrheitsbegriff. (English summary) [New 
developments in the concept of truth] 92e:03007 

Seymour, Michel A sentential theory of propositional attitudes. 

Shaw, J. L. Descriptions: contemporary philosophy and the Nyaya. 92e:03003 

Slater, B. H. Intensional identities. 92¢:03025 

Snyers, Dominique see Binot, Jean-Louis; et al., 92k:68107 

Thayse, André see Binot, Jean-Louis; et al., 92k:68107 

Thomason, Richmond H. Propagating epistemic coordination through mutual defaults. I. 
92b:03025 

Willing, Anthony Buridan’s divided modal syllogistic. 92j:03016 

Wong, Kai-Yee A priority and ways of grasping a proposition. 

Yokota, Kaoru see Sawamura, Hajime; et al., (92d:68014) 

Zuber, Ryszard Régles d’extensionalité en grammaire catégorielle. (English summary) 
[Rules of extensionality in categorial grammar] 92h:03013 


03B General logic 


03B70 Logic of programming [see also 68Q55, 68Q60] 

Alessi, Fabio (with Barbanera, Franco) Strong conjunction and intersection types. (see 
92g:68008) 

Arikawa, Setsuo see Shi, Yihua, 92e:03040 

Barbanera, Franco see Alessi, Fabio, (92g:68008) 

Barr, Michael Accessible categories and models of linear logic. 92a:03043 

Bell, John Pragmatic logics. 92h:03037 

Buszkowski, Wojciech Second-order communication logic. (Russian summary) 924:03020 

Cardelli, Luca (with Martini, Simone; Mitchell, John C.; Scedrov, Andre) An extension of 
system F with subtyping. 92k:03010 

Chen, Weidong (with Warren, David Scott) Compilation of predicate abstractions in 
higher-order logic programming. (see 92g:68009) 

Costa, Gerardo (with Reggio, Gianna) Abstract dynamic data types: a temporal logic 
approach. (see 92g:68008) 

Crole, Roy L. (with Pitts, Andrew M.) New foundations for fixpoint computations. (see 
92b:68007) 

Dorre, Jochen (with Rounds, William C.) On subsumption and semiunification in feature 
algebras. (see 92b:68007) 

Felty, Amy Encoding dependent types in an intuitionistic logic. (see 92f:68003) 

Gehlot, Vijay (with Gunter, Carl A.) Normal process representatives. (see 92b:68007) 

Gomolitiska, Anna A nonstandard approach to autoepistemic logic. 

Goto, Shigeki Proof normalization with nonstandard objects. 92m:03040 

Gunter, Carl A. see Gehlot, Vijay, (92b:68007) 

Harel, Eyal (with Lichtenstein, Orna; Pnueli, Amir) Explicit clock temporal logic. (see 
92b:68007) 

Hyland, J. M. E. Computing and foundations. (see 92h:00013) 

Ioannidis, Yannis E. (with Wong, Eugene) Towards an algebraic theory of recursion. 
92g:03046 

Kaivola, Roope (with Valmari, Antti) Using truth-preserving reductions to improve the 
clarity of Kripke-models. 92j:03026 

Kobayashi, Isamu Tuple calculus: syntax and semantics. (see 92b:68008) 

Konikowska, Beata Two over three: a two-valued logic for software specification and 
validation over a three-valued predicate calculus. (see 92g:68008) 

Krishnan, Padmanabhan A model for real-time systems. (see 92g:68008) 

Lassez, Jean-Louis (with McAloon, Ken) A constraint sequent calculus. (see 92b:68007) 

Leach Albert, Javier A tableau method for propositional dynamic programming. (Spanish) 
(see 92g:00025) 

Lichtenstein, Orna see Harel, Eyal; et al., (92b:68007) 

Martini, Simone see Cardelli, Luca; et al., 92k:03010 

McAloon, Ken see Lassez, Jean-Louis, (92b:68007) 

Meyer, J.-J. Ch. see Wieringa, R. J., (92b:68010) 

Mitchell, John C. see Cardelli, Luca; et al., 92k:03010 

O’Hearn, P. W. Linear logic and interference control (preliminary report). (see 92g:68005) 

Paech, Barbara Extending temporal logic by explicit concurrency. (see 92g:68008) 

Passy, Solomon (with Tinchev, Tinko) An essay in combinatory dynamic logic. 92h:03038 

Pavlovi¢, Dusko Constructions and predicates. (see 92g:68005) 

Pitts, Andrew M. see Crole, Roy L., (92b:68007) 

Pnueli, Amir see Harel, Eyal; et al., (92b:68007) 

Reggio, Gianna see Costa, Gerardo, (92g:68008) 

Rounds, William C. see Dérre, Jochen, (92b:68007) 

Sain, Ildiké Past proves more invariance properties but not PCAs. 92k:03011 

Sakalauskaité, Jaraté (with Valiev, M. K.) Completeness of propositional dynamic logic 
with infinite repeating. 92k:03012 

Scedrov, Andre A guide to polymorphic types. 92c:03035 

— see also Cardelli, Luca; et al., 92k:03010 

Shi, Yihua (with Arikawa, Setsuo) Time-bounded reasoning in first order knowledge base 
systems. 92e:03040 

Sun, Yong Equational logics (Birkhoff's method revisited). (see 92g:68076) 

Tinchev, Tinko see Passy, Solomon, 92h:03038 

Valiev, M. K. see Sakalauskaité, Jaraté, 92k:03012 

Valmari, Antti see Kaivola, Roope, 92j:03026 

Warren, David Scott see Chen, Weidong, (92g:68009) 

Wieringa, R. J. (with Meyer, J.-J. Ch.) Actor-oriented specification of deontic integrity 
constraints. (see 92b:68010) 

Wilm, Andreas Determinism and nondeterminism in PDL. 92i:03028 

Wong, Eugene see Ioannidis, Yannis E., 92g:03046 

Yamamoto, Akihiro Elementary formal system as a logic programming language. 92e:03041 


Items with secondary classifications in 03B70 


Abadi, Martin (with Pierce, Benjamin; Plotkin, Gordon) Faithful ideal models for 
recursive polymorphic types. 92h:68052 

Aczel, Peter (with Carlisle, David P.; Mendler, Nax Paul) Two frameworks of theories and 
their implementation in Isabelle. (see 92f:68003) 

Alferes, José Julio see Pereira, Luis Moniz; et al., 92f:68105 

Allen, James F. Planning as temporal reasoning. (see 92h:68007) 

Alur, Rajeev (with Courcoubetis, Costas; Dill, David L.) Model-checking for probabilistic 
real-time systems (extended abstract). (see 92g:68004) 

Amsterdam, Jonathan Temporal reasoning and narrative conventions. (see 92h:68007) 

Andréka, Hajnalka (with Németi, Istvan; Sain, Ildik6) On the strength of temporal proofs. 
92h:03021 

Andreoli, Jean-Marc (with Pareschi, Remo) Linear objects: logical processes with built-in 
inheritance. (see 92d:68014) 

Andrews, James H. The logical structure of sequential Prolog. (see 92d:68013) 

Angluin, Dana (with Frazier, Michael; Pitt, Leonard) Learning conjunctions of Horn 
clauses (extended abstract). (see 92i:68010) 

Aparicio, Joaquim Nunes see Pereira, Luis Moniz; et al., 92f:68105 

Apt, Krzysztof R. (with Bezem, Marc) Acyclic programs (extended abstract). (see 
92d:68014) 

Arun-Kumar, S. (with Hennessy, Matthew) An efficiency preorder for processes. 92i:68040 








03B70 


Attardi, Giuseppe (with Simi, Maria) Reflections about reflection. 92i:68146 

Atzeni, Paolo (with De Bernardis, Maria Cristina) A new interpretation for null values in 
the weak instance model. 92a:68033 

Balbiani, Philippe A modal semantics for the negation as failure and the closed world 
assumption rules. 92¢:68124 

Baral, Chitta (with Subrahmanian, V.S.) Dualities between alternative semantics for logic 
programming and nonmonotonic reasoning (extended abstract). (see 92b:68009) 

Barendregt, H. P. Functional programming and lambda calculus. (see 924:68002) 

Barr, Michael +-autonomous categories and linear logic. 92m:18012 

Barringer, Howard (with Fisher, Michael D.; Gabbay, Dov M.; Hunter, Anthony) Meta- 
reasoning in executable temporal logic. (see 92h:68007) 

Bell, John Extended causal theories. 924:68104 

van Benthem, Johan * Language in action. 92g:03002 

Berardi, Stefano Retractions on dJ-domains as a model for Type:Type. 92h:03018 

Bezem, Marc see Apt, Krzysztof R., (92d:68014) 

Bidoit, Nicole Negation in rule-based database languages: a survey. 92f:68030 

Binot, Jean-Louis (with Bruffaerts, Albert; Delsarte, Philippe; Dubois, Eric; Dupont, Pierre; 
Hagelstein, Jacques; Henin, Eric, Kamp, Yves; van Lamsweerde, Axel; van der Linden, 
Frank; Miiller, Jean-Pierre; Rifaut, André; Snyers, Dominique; Thayse, André) * From 
natural language processing to logic for expert systems. 92k:68107 

Birnbaum, Lawrence Rigor mortis: a response to N. J. Nilsson’s “Logic and artificial 
intelligence” [Artificial Intelligence 47 (1991), no. 1-3, 31-56; MR 92a:68137]. 92a:68138 

Blikle, Andrzej Three-valued predicates for software specification and validation. 
92k:68067 

— see also Konikowska, Beata; et al., 92k:68068 

Bloom, Stephen L. A note on guarded theories. 92c:68114 

Bohm, C. (with Intrigila, Benedetto) Multisets and polynomials: an algebraic approach to 
functional programming. (Italian summary) 92m:68011 

Bol, Roland N. (with Groote, Jan Friso) The meaning of negative premises in transition 
system specifications (extended abstract). (see 92g:68004) 

Bonatti, Piero A. Beliefs as stable conjectures. 92f:68158 

Bonner, Anthony J. (with McCarty, L. Thorne) Adding negation-as-failure to intuitionistic 
logic programming. (see 92d:68013) 

(Birger, Egon) see Computer science logic, 924:68007 

Bradfield, J.C. Proving temporal properties of Petri nets. 92j:68091 

Breazu-Tannen, Val (with Subrahmanyam, Ramesh) Logical and computational aspects of 
programming with sets/bags/lists. (see 92g:68004) 

Brewka, Gerhard (with Makinson, David; Schlechta, Karl) JTMS and logic programming. 
92:68159 

Brogi, Antonio (with Turini, Franco) Metalogic for knowledge representation. (see 
92h:68007) 

Bruffaerts, Albert see Binot, Jean-Louis; et al., 92k:68107 

de Bruijn, N.G. A plea for weaker frameworks. (see 92f:68003) 

Bry, Francois Negation in logic programming: a formalization in constructive logic. 
92a:68134b 

Burstall, Rod M. (with Honsell, Furio) Operational semantics in a natural deduction 
setting. (see 92f:68003) 

Cardelli, Luca (with Longo, Giuseppe!) A semantic basis for Quest. 92m:68070 

Cardone, Felice (with Coppo, Mario) Type inference with recursive types: syntax and 
semantics. 92f:03012 

Carlisle, David P. see Aczel, Peter; et al., (92f:68003) 

Carmo, J. (with Sernadas, Amilcar) Comparative analysis of temporal logics for specifica- 
tion. (Portuguese) (see 92g:00025) 

Carnes, James R. see Davis, William S., (92h:68007) 

Cartwright, Robert Lambda: the ultimate combinator. 92i:03012 

Castaing, Jacqueline A new formalisation of subsumption in frame-based representation 
systems. 92i:68163 

Cerrito, Serenella A linear axiomatization of negation as failure. 

Chen, Wei (with Udding, Jan Tijmen) Program inversion: More than fun! 92f:68017 

Cheng, M. H. M. (with van Emden, Maarten H.; Richards, B. E.) On Warren’s method for 
functional programming in logic. (see 92d:68014) 

Cingel, Viktor An extension of linear time temporal logic and its application to hardware 
design. (Russian summary) 

Cleaveland, Rance (with Steffen, Bernhard) Computing behavioural relations, logically. 
(see 92g:68004) 

Clifford, James * Formal semantics and pragmatics for natural language querying. 
924:68094 

Cohen-Chesnot, Jo@lle On the expressive power of temporal logic for infinite words. 
92h:68046 

Comon, Hubert Solving inequations in term algebras (extended abstract). (see 92b:68007) 

— Complete axiomatizations of some quotient term algebras. (see 92g:68004) 

Coppo, Mario see Cardone, Felice, 92f:03012 

Costantini, Stefania Semantics of a metalogic programming language. 92a:68084 

Courcelle, Bruno Recursive queries and context-free graph grammars. 92a:68044 

Courcoubetis, Costas see Alur, Rajeev; et al., (92g:68004) 

Davis, William S. (with Carnes, James R.) Clustering temporal intervals to generate 
reference hierarchies. (see 92h:68007) 

De Bernardis, Maria Cristina see Atzeni, Paolo, 92a:68033 

Delahaye, Jean-Paul (with Thibau, V.) Programming in three-valued logic. 92a:68022 

— see also Denis, Francois, 92c:68117 

Delsarte, Philippe see Binot, Jean-Louis; et al., 92k:68107 

Demetrovics, Janos (with Rényai, Lajos; Hua, Nam Son) On the representation of 
dependencies by propositional logic. (see 92b:68010) 

De Nicola, Rocco (with Vaandrager, Frits W.) Three logics for branching bisimulation 
(extended abstract). (see 92b:68007) 

Denis, Francois (with Delahaye, Jean-Paul) Is there an axiomatic semantics for dard 


MATHEMATICAL LOGIC AND FOUNDATIONS 


1992 74 


Drewes, Frank (with Lautemann, Clemens) Incremental termination proofs and the length 
of derivations. 92c:68092 

Dubois, Eric see Binot, Jean-Louis; et al., 92k:68107 

Dunn, J. Michael Gaggle theory: an abstraction of Galois connections and residuation, with 
applications to negation, implication, and various logical operators. 92j:03014 

Dupont, Pierre see Binot, Jean-Louis; et al., 92k:68107 

Efimov, E.1I. Proof systems based on knowledge. (Russian) 92c¢:68179 

van Emden, Maarten H. see Cheng, M. H. M.; et al., (924:68014) 

Emerson, E. Allen Temporal and modal logic. (see 92d:68002) 

Fagin, Ronald (with Halpern, Joseph Y.; Vardi, Moshe Y.) A nonstandard approach to the 
logical omniscience problem. 92c:03019 

— (with Halpern, Joseph Y.; Vardi, Moshe Y.) A model-theoretic analysis of knowledge. 
92:68172 

Fernando, Tim Provably recursive programs and program extraction. (see 92g:68004) 

Fisher, Michael D. see Barringer, Howard; et al., (92h:68007) 

Frazier, Michael see Angluin, Dana; et al., (92i:68010) 

Freksa, Christian Temporal reasoning based on semi-intervals. 

Fribourg, Laurent Proofs by combinatory induction on recursively reducible expressions. 
92e:68171 

Frisch, Alan M. see Page, C. David, Jr., (92h:68007) 

de Frutos-Escrig, David see Ortega-Mallén, Yolanda, 92m:68021 

Fujiwara, Yasushi (with Honiden, Shinichi) A nonmonotonic temporal logic and its Kripke 
semantics. 92b:03019 

Gabbay, Dov M. (with Laenens, E.; Vermeir, D.) Credulous vs. sceptical semantics for 
ordered logic programs. (see 92h:68007) 

— see also Barringer, Howard; et al., (92h:68007) 

Ganzinger, Harald A completion procedure for conditional equations. 92i:68076 

van Gasteren, A. J. M. * On the shape of mathematical arguments. 92f:68109 

Gavrilenko, Yu. V. Majorants of logic evaluations. Lifting and lowering lemmas in logic 
programming. (Russian) 92k:68014 

(Gavrilov, G. P.) see Thayse, André; et al., 92j:68099 

Geerts, P. (with Vermeir, D.) Credulous and autoepistemic reasoning using ordered logic. 
92:68161 

— see also Vermeir, D.; et al., 92f:68171 

Geffner, Hector Beyond negation as failure. 92j:68106 

— (with Pearl, Judea) Conditional entailment: bridging two approaches to default 
reasoning. 

Gelfond, Michael (with Lifschitz, Vladimir) Logic programs with classical negation. (see 
924:68014) 

— (with Przymusinska, Halina) Definitions in epistemic specifications. 92f:68162 

Germano, G. M. (with Mazzanti, Stefano) General iteration and unary functions. 
92m:03062 

Geuvers, Herman (with Nederhof, Mark-Jan) Modular proof of strong normalization for 
the calculus of constructions. 92k:03009 

Goguen, Joseph A. see Smolka, Gert; et al., 92e:68117 

Goltz, Hans-Joachim (with Herre, Heinrich) * Grundlagen der logischen Programmierung. 
(German) [Foundations of logic programming] 92¢:68176 

Gomard, Carsten K. (with Jones, Neil D.) Erratum: “A partial evaluator for the untyped 
lambda-calculus”. 92h:68054b 

Goncharov, S. S. (with Sviridenko, D. 1.) Logic programming in the broad sense. (Russian) 
92g:68090 

Gong, Chun see Lin, Hui Min; et al., 92a:68099 

Gong, Jie see Xie, Hong Liang; et al., 92a:68097 

Gradel, Erich The expressive power of second-order Horn logic. 92c:03045 

Grahne, Gésta Updates and counterfactuals. 92i:68165 

Gribomont, E. Pascal see Thayse, André; et al., 92j:68099 

Griefahn, Ulrike (with Littringhaus, Stefan) Top-down integrity constraint checking for 
deductive databases. (see 92d:68014) 

Groote, Jan Friso see Bol, Roland N., (92g:68004) 

de Groote, Philippe Nederpelt’s calculus extended with a notion of context as a logical 
framework. (see 92f:68003) 

Grove, Adam J. (with Halpern, Joseph Y.) Naming and identity in a multi-agent epistemic 
logic. 92j:68112 

Gubar’kov, M. Yu. (with Kuchuganov, M. V.) On derivability in logic program schemes. 
(Russian) 92e:68122 

Hagelstein, Jacques see Binot, Jean-Louis; et al., 92k:68107 

Hallnas, Lars Models of partial inductive definitions. (see 92f:68003) 

Halpern, Joseph Y. (with Vardi, Moshe Y.) Model checking vs. theorem proving: a 
manifesto. 92i:68152 

— (with Vardi, Moshe Y.) Model checking vs. theorem proving: a manifesto. 92i:68151 

— see also Fagin, Ronald; et al., 92c:03019; 92f:68172 and Grove, Adam J., 92j:68112 

Halpin, Terry A fact-oriented approach to schema transformation. (see 92b:68010) 

Hamaguchi, Kiyoharu (with Hiraishi, Hiromi; Yajima, Shuzo) Branching time regular 
temporal logic for model checking with linear time complexity. 92¢:03023 

Henin, Eric see Binot, Jean-Louis; et al., 92k:68107 

Hennessy, Matthew see Arun-Kumar, S., 92i:68040 

Herre, Heinrich see Goltz, Hans-Joachim, 92¢:68176 

Hesselink, Wim H. Modalities of nondeterminacy. (see 92i:68005) 

Hill, P.M. (with Lloyd, John W.; Shepherdson, J.C.) Properties of a pruning operator. 

Hiraishi, Hiromi see Hamaguchi, Kiyoharu; et al., 92e:03023 

Hirst, Graeme Existence assumptions in knowledge representation. 92¢:68180 

Hodgson, Bernard R. (with Kent, Clement F.) A survey of ordinal interpretations of type eo 
for termination of rewriting systems. (see 92g:68076) 

Holden, Marit Weak logic theory. 92f:68111 

Holt, C. M. Intervals as time lattices. (see 91k:68018) 





pure Prolog? 92c:68117 
(Dijkstra, Edsger W.) see van Gasteren, A. J. M., 92f:68109 
Dill, David L. see Alur, Rajeev; et al., (92g:68004) 
Dix, Jiirgen Classifying semantics of logic programs (extended abstract). (see 92b:68009) 


Honiden, Shinichi see Fujiwara, Yasushi, 92b:03019 

Honsell, Furio see Burstall, Rod M., (92£:68003) 

Howell, Rodney R. (with Rosier, Louis E.; Yen, Hsu Chun) A taxonomy of fairness and 
temporal logic problems for Petri nets. 92i:68117 

Hua, Nam Son see Demetrovics, Janos; et al., (92b:68010) 





75 1992 


(Huet, Gérard) see Logical frameworks, 92f:68003 

Hunter, Anthony see Barringer, Howard; et al., (92h:68007) 

Intrigila, Benedetto see Bohm, C., 92m:68011 

Israel, David J. (with Perry, John) Information and architecture. (see 92m:68006) 

Jacquet, Jean-Marie (with Monteiro, Luis) Extended Horn clauses: the framework and 
some semantics. 92i:68023 

Jiang, Yue Jun Autoepistemic predicate logic. 92i:68153 

Jones, Neil D. see Gomard, Carsten K., 92h:68054b 

Jouannand, Jean-Pierre Executable higher-order algebraic specifications. 92f:68115 

Kakas, A.C. (with Mancarella, Paolo) Negation as stable hypotheses. 92f:68022 

Kamp, Yves see Binot, Jean-Louis; et al., 92k:68107 

Katz, Shmuel (with Peled, Doron) Interleaving set temporal logic. 92d:03012 

Kent, Clement F. see Hodgson, Bernard R., (92g:68076) 

Kim, Jin-Sang see Kowalski, Robert A., 92i:68166 

(Kleine Biining, Hans) see Computer science logic, 92d:68007 

Kolaitis, Phokion G. The expressive power of stratified logic programs. 924:68083 

— (with Papadimitriou, Christos H.) Why not negation by fixpoint? 92¢:68018 

Konikowska, Beata (with Tarlecki, Andrzej; Blikle, Andrzej) A three-valued logic for 
software specification and validation. 92k:68068 

Konolige, Kurt Abduction versus closure in causal theories. 

Kowalski, Robert A. (with Kim, Jin-Sang) A metalogic programming approach to multi- 
agent knowledge and belief. 92i:68166 

Kuchuganov, M. V. see Gubar’kov, M. Yu., 92e:68122 

Laenens, E. see Gabbay, Dov M.,; et al., (92h:68007) 

van Lamsweerde, Axel see Binot, Jean-Louis; et al., 92k:68107 

Langholm, Tore What is a Horn clause in partial logic? 92a:03041 

Latocha, Peter * Exploration von Aussagenraumen. (German) [Exploration of proposi- 
tional spaces] 92f:68144 

Clemens see Drewes, Frank, 92c:68092 

(Lehmann, Fritz) see Semantic networks in artificial intelligence, 92m:68116a and 
92m:68116b 

Lewis, C. Michael Visualization and situations. (see 92m:68006) 

Lifschitz, Viadimir see Gelfond, Michael, (92d:68014) 

Lin, Hui Min (with Gong, Chun; Xie, Hong Liang) Abstract implementation of algebraic 
specifications in a temporal logic language. 92a:68099 

van der Linden, Frank see Binot, Jean-Louis; et al., 92k:68107 

Lloyd, John W. see Hill, P. M.; et al. 

Longo, Giuseppe! (with Moggi, Eugenio) Constructive natural deduction and its “q-set” 
interpretation. 92j:03004 

— see also Cardelli, Luca, 92m:68070 

Louis, G. see Thayse, André; et al., 92j:68099 

Loveland, Donald W. see Reed, David W. 

Lao, Zhaohui A higher-order calculus and theory abstraction. 92g:68094 

Liittringhaus, Stefan see Griefahn, Ulrike, (92d:68014) 

Magazov, S.S. A formal system intended for the representation of hierarchically organized 
knowledge. (Russian) 92g:68132 

Maher, Michael John Representing sets of rational trees using techniques of nonmonotonic 
reasoning. 92f:68163 

Maibaum, Thomas S. E. see de Queiroz, Ruy J. G. B., 92:68090 

Makinson, David see Brewka, Gerhard; et al., 92f:68159 

Makowsky, J. A. see Tiomkin, Michael, 92i:03009 

Mancarella, Paolo see Kakas, A. C., 92f:68022 

Marchetti-Sp la, Alberto (with Pelaggi, Antonella; Sacca, Domenico) Comparison of 
methods for logic-query implementation. 92¢:68019 

Marek, Wiktor (with Truszczyiiski, Miroslaw) Computing intersection of autoepistemic 
expansions. 92f:68164 

— see also Logic p and nonmonotonic reasoning, 92b:68009 

Marongiu, G. (with Tulipani, S.) Quantifier elimination for infinite terms. 92i:03029 

Mason, Ian (with Talcott, Carolyn) Equivalence in functional languages with effects. 
92j:68014 

Mazzanti, Stefano see Germano, G. M., 92m:03062 

McCarty, L. Thorne Circumscribing embedded implications. 92f:68165 

— see also Bonner, Anthony J., (92d:68013) 

Mendler, Nax Paul see Aczel, Peter; et al., (92f:68003) 

Meseguer, José see Smolka, Gert; et al., 92e:68117 

van der Meyden, R. The dynamic logic of permission. (see 92b:68007) 

Meyer, J.-J. Ch. (with de Vink, E. P.) On relating denotational and operational semantics 
for programming languages with recursion and concurrency. (see 92c:54001) 

Minami, Toshiro see Sawamura, Hajime; et al., (92d:68014) 

Mints, Grigorii Efroimovich (with Smith, Jan M.; Tyugu, Enn) Type-theoretical semantics 
of some declarative languages. (see 92i:68004) 

Mirkowska, Grazyna (with Salwicki, A.) * Algorithmic logic. 92¢:68073 

Moggi, Eugenio Notions of computation and monads. 92j:03011 

— see also Longo, Giuseppe! , 92j:03004 

Monteiro, Luis see Jacquet, Jean-Marie, 92i:68023 

Moschovakis, Yiannis N. A model of concurrency with fair merge and full recursion. 
92k:68062 

Miller, Jean-Pierre see Binot, Jean-Louis; et al., 92k:68107 

Nait Abdallah, M.-A. Kernel knowledge versus belt knowledge in default reasoning: a logical 
approach. (see 92b:68002) 

Nakashima, Hideyuki (with Tutiya, Syun) Inferring in a situation about situations. (see 
92m:68006) 

Nederhof, Mark-Jan see Geuvers, Herman, 92k:03009 

Negri, Maurizio (with Pelagatti, G.; Sbattella, L.) Formal semantics of SQL queries. 
92i:68033 

Németi, Istvan see Andréka, Hajnalka; et al., 92h:03021 

Nepeivoda, N. N. Some semantic constructions of constructive logic schemes of programs. 
(Russian) 92¢:68120 

Nerode, Anil Some lectures on intuitionistic logic. 92a:03011 

— see also Logic programming and nonmonotonic reasoning, 92b:68009 





03B General logic 


Nilsson, Jorgen Fischer w-order knowledge bases. (see 92b:68008) 

Nilsson, Nils J. Logic and artificial intelligence. 92a:68137 

— see also Birnbaum, Lawrence, 922:68138 

Nute, Donald see Vermeir, D.; et al., 92f:68171 

Nutt, Werner see Smolka, Gert; et al., 92e:68117 

Ohashi, Kyoko see Sawamura, Hajime; et al., (924:68014) 

Olderog, Ernst-Riidiger * Nets, terms and formulas. 92m:68028 

Ortega-Mallén, Yolanda (with de Frutos-Escrig, David) A complete proof system for timed 
observations. 92m:68021 

Page, C. David, Jr. (with Frisch, Alan M.) Generalizing atoms in constraint logic. (see 
92h:68007) 

Papadimitriou, Christos H. see Kolaitis, Phokion G., 92e:68018 

Pareschi, Remo see Andreoli, Jean-Marc, (924:68014) 

(Parikh, Rohit) see IEEE Symposium: Logic in Computer Science, 92a:68003 

Pearl, Judea see Geffner, Hector 

Pelagatti, G. see Negri, Maurizio; et al., 92i:68033 

Pelaggi, Antonella see Marchetti-Sp la, Alberto; et al., 92e:68019 

Peled, Doron see Katz, Shmuel, 92d:03012 

Pereira, Luis Moniz (with Alferes, José Julio; Aparicio, Joaquim Nunes) Contradiction 
removal within well-founded semantics. 92f:68105 

(Permyakov, P. P.) see Thayse, André; et al., 92j:68099 

Perry, John see Israel, David J., (92m:68006) 

Pfenning, Frank Logic programming in the LF logical framework. (see 92f:68003) 

Phan Minh Dung (with Ruamviboonsuk, Phaiboon) Well-founded reasoning with classical 
negation. 92:68106 

Pierce, Benjamin see Abadi, Martin; et al., 92h:68052 

Pimentel, Stephen G. (with Rodi, William L.) Belief revision and paraconsistency in a logic 
programming framework. 92f:68167 

Pitt, Leonard see Angluin, Dana; et al., (92i:68010) 

Plotkin, Gordon see Abadi, Martin; et al., 92h:68052 and Logical frameworks, 92f:68003 

Ponse, Alban Process expressions and Hoare’s logic: showing an irreconcilability of context- 
free recursion with Scott’s induction rule. 92j:68065 

Pratt, Vaughan Action logic and pure induction. 924:03016 

Przymusitiska, Halina see Gelfond, Michael, 92f:68162 

Przymusitiski, Teodor C. Well-founded semantics coincides with three-valued stable 
semantics. 92a:68089 

— Autoepistemic logics of closed beliefs and logic programming. 92j:68110 

— Three-valued nonmonotonic formalisms and semantics of logic programs. 92h:03035 

de Queiroz, Ruy J.G.B. (with Maibaum, Thomas S. E.) Proof theory and computer 
programming. 92a:68090 

— (with Maibaum, Thomas S. E.) Abstract data types and type theory: theories as types. 

Ramesh, S. On the completeness of modular proof systems. 92c:68128 

Rantala, Veikko Knowledge representation and epistemic logic: an overview. (see 
92b:68008) 

Rapaport, William J. Predication, fiction, and artifical intelligence. 

Rasiowa, Helena Mechanical proof systems for logic: reaching consensus by groups of 
intelligent agents. 92c:03012 

Reed, David W. (with Loveland, Donald W.) A comparison of three PROLOG extensions. 

Reiter, Raymond The frame problem in the situation calculus: a simple solution (sometimes) 
and a completeness result for goal regression. (see 92f:68002) 

Richards, B. E. see Cheng, M. H. M.; et al., (92d:68014) 

(Richter, M. M.) see Computer science logic, 92d:68007 

Rifaut, André see Binot, Jean-Louis; et al., 92k:68107 

Robinson, John Alan Logic and logic programming. 

Rodi, William L. see Pimentel, Stephen G., 92f:68167 

Rényai, Lajos see Demetrovics, Janos; et al., (92b:68010) 

Rosier, Louis E. see Howell, Rodney R.; et al., 92i:68117 

Ross, Kenneth A. see Van Gelder, Allen; et al., 92i:68094 

Ruamviboonsuk, Phaiboon see Phan Minh Dung, 92f:68106 

Russell, Stuart J. * The use of knowledge in analogy and induction. 92f:68175 

Sacca, Domenico (with Zaniolo, Carlo) Partial models and three-valued models in logic 
programs with negation. 92f:68023 

— see also Marchetti-Sp la, Alberto; et al., 92¢:68019 

Sain, Ildiké An elementary proof for some semantic characterizations of nondeterministic 
Floyd-Hoare logic. 92a:68096 

— see also Andréka, Hajnalka; et al., 92h:03021 

Salwicki, A. see Mirkowska, Grazyna, 92¢:68073 

Sawamura, Hajime (with Minami, Toshiro; Yokota, Kaoru; Ohashi, Kyoko) A logic 
programming approach to specifying logics and constructing proofs. (see 924:68014) 

Shattella, L. see Negri, Maurizio; et al., 92i:68033 

Schlechta, Karl see Brewka, Gerhard; et al., 92f:68159 

Schlipf, John S. Representing epistemic intervals in logic programs. 92c:68121 

— see also Van Gelder, Allen; et al., 92i:68094 

(Schinfeld, W.) see Computer science logic, 92d:68007 

Schining, Uwe * Logik fiir Informatiker. (German) [Logic for information scientists] 
92¢:68001 

Seipel, Dietmar Decomposition of linear recursive logic programs. (see 92a:68002) 

Sernadas, Amilcar see Carmo, J., (92g:00025) 

Shepherdson, J.C. see Hill, P. M.; et al. 

Shmueli, Oded (with Tsur, Shalom; Zaniolo, Carlo) Compilation of set terms in the logic 
data language (LDL). 

Shvarts, G. F. Autoepistemic logic of knowledge. 92f:68169 

Simi, Maria see Attardi, Giuseppe, 92i:68146 

Smith, Jan M. see Mints, Grigorii Efroimovich; et al., (92i:68004) 

Smolka, Gert (with Nutt, Werner; Goguen, Joseph A.; Meseguer, José) Order-sorted 
equational computation. 92e:68117 

— Feature-constraint logics for unification grammars. 92g:68085 

Snyers, Dominique see Binot, Jean-Louis; et al., 92k:68107 

Song, Fang Min Infinitary linear logic. (Chinese. English summary) 92i:68101 

Spencer, Bruce D. Avoiding duplicate proofs. (see 92d:68013) 














03B70 


Steffen, Bernhard see Cleaveland, Rance, (92g:68004) 

Stepaniuk, Jarosiaw Applications of finite models properties in approximation and 
algorithmic logics. 92e:03043 

Subrahmanian, V.S. see Baral, Chitta, (92b:68009) and Logic programming and nonmono- 
tanic reasoning, 92b:68009 

Subrahmanyam, Ramesh see Breazu-Tannen, Val, (92g:68004) 

Suchenek, Marek A. Incremental models of updating data bases. 92b:68026 

Sviridenko, D. I. see Goncharov, S. S., 92g:68090 

Szalas, Andrzej On strictly arithmetical completeness in logics of programs. 92i:68102 

Talcott, Carolyn see Mason, Ian, 92j:68014 

Tang, Tong Gao Programming in temporal-nonmonotonic reasoning. 92g:03043 

Tang, Zhi Song see Xie, Hong Liang; et al., 92a:68097 

Tarlecki, Andrzej see Konikowska, Beata; et al., 92k:68068 

Tatsuta, Makoto Monotone recursive definition of predicates and its realizability interpreta- 
tion. 92k:68074 

Tennent, R. D. (with Tobin, J. K.) Continuations in possible-world semantics. 92g:68092 

Thayse, André (with Gribomont, E. Pascal; Louis, G.; et al.) %* Jlormueckuit nogxog K 
HCKYCCTBEHHOMY HHTeWIeKTy. (Russian) [A logical approach to artificial intelligence] 
92):68099 

— see also Binot, Jean-Louis; et al., 92k:68107 

Theodoratos, Dimitri Monadic databases with equality. (see 92b:68010) 

Thibau, V. see Delahaye, Jean-Paul, 92a:68022 

Thomas, Wolfgang On logics, tilings, and automata. (see 92g:68004) 

(Thomason, Richmond H.) see Philosophical logic and artificial intelligence, 92d:03003 

Tiomkin, Michael (with Makowsky, J. A.) Decidability of finite probabilistic propositional 
dynamic logics. 92i:03009 

Tobin, J. K. see Tennent, R. D., 92g:68092 

Treinen, Ralf First order data types and first order logic. 92i:68107 

Truszezytiski, Mirosiaw see Marek, Wiktor, 92f:68164 

Tsur, Shalom see Shmueli, Oded; et al. 

Tulipani, S. see Marongiu, G., 92i:03029 

Turini, Franco see Brogi, Antonio, (92h:68007) 

Tutiya,Syun see Nakashima, Hideyuki, (92m:68006) 

Tyugu, Enn see Mints, Grigorii Efroimovich; et al., (92i:68004) 

Udding, Jan Tijmen see Chen, Wei, 92f:68017 

Vaandrager, Frits W. see De Nicola, Rocco, (92b:68007) 

Van Gelder, Allen (with Ross, Kenneth A.; Schlipf, John S.) The well-founded semantics 
for general logic programs. 92i:68094 

Vardi, Moshe Y. see Fagin, Ronald; et al., 92c:03019; 92f:68172; Halpern, Joseph Y., 
92i:68151 and 92i:68152 

Vermeir, D. (with Nute, Donald; Geerts, P.) A defeasible logic for multi-expert systems. 
92:68171 

— see also Geerts, P., 92f:68161 and Gabbay, Dov M.; et al., (92h:68007) 

de Vink, E. P. see Meyer, J.-J. Ch., (92c:54001) 

Volger, Hugo The model theory of disjunctive logic programs. (see 92a:03004) 

Wagner, Gerd A database needs two kinds of negation. (see 92b:68010) 

— Logic programming with strong negation and inexact predicates. 

Wand, Mitchell Type inference for record concatenation and multiple inheritance. 
92d:03008 

Wang, Chenghui see Yuan, Li-Yan; et al., (92b:68002) 

Wijesekera, Duminda Constructive modal logics. I. 92i:03064 

Xie, Hong Liang (with Gong, Jie; Tang, Zhi Song) A structured temporal logic language: 
XYZ/SE. 92a:68097 

— see also Lin, Hui Min; et al., 92a:68099 

Yajima, Shuzo see Hamaguchi, Kiyoharu; et al., 92e:03023 

Yamamoto, Akihiro Short note: procedural semantics and negative information of 
elementary formal system. 

Yen, Hsu Chun see Howell, Rodney R.; et al., 92i:68117 

Yokota, Kaoru see Sawamura, Hajime; et al., (92d:68014) 

Yonezaki, Naoki Logic for hierarchical temporal reasoning. (see 92b:68008) 

You, Jia-Huai see Yuan, Li-Yan; et al., (92b:68002) 

Yuan, Li-Yan (with You, Jia-Huai; Wang, Chenghui) A proof-th ic fr k for 
nonmonotonic reasoning and logic programming. (see 92b:68002) 

— On semantics, syntactics and fixpoints of general programs (extended abstract). (see 
92b:68002) 

Zaniolo, Carlo see Sacca, Domenico, 92f:68023 and Shmueli, Oded; et al. 

Zhang, Guo Qiang * Logic of domains. 92m:68075 


Items listed otherwise than by author 

Computer science logic * Computer science logic. 92d4:68007 

Heidelberg * Computer science logic. 924:68007 

IEEE Symposium: 
Logic in Computer Science * Selections from the 1989 IEEE Symposium on Logic in 

Computer Science. 92a:68003 

Lecture Notes in Computer Science * Computer science logic. 924:68007 

Logic programming and nonmonotonic reasoning * Logic programming and nonmonotonic 
reasoning. 92b:68009 

Logical frameworks * Logical frameworks. 92f:68003 

Philosophical logic and artificial intelligence * Philosophical logic and artificial intelligence. 
92d:03003 

Semantic networks in artificial intelligence * Semantic networks in artificial intelligence. 
Part 1. 92m:68116a 

— * Semantic networks in artificial intelligence. Part 2. 92m:68116b 

Sophia-Antipolis * Logical frameworks. 92f:68003 

Washington, DC * Logic programming and nonmonotonic reasoning. 92b:68009 

Workshop: 
Computer Science Logic * Computer science logic. 92d:68007 


Logic Programming and Nonmonotonic Reasoning * Logic programming and nonmono- 
tonic reasoning. 92b:68009 





MATHEMATICAL LOGIC AND FOUNDATIONS 


Workshop: (cont'd. ) 
Logical Frameworks: Design, Implementation and Experiment * Logical frameworks. 
92:68003 


03B99 None of the above, but in this section 


Cantini, Andrea A logic of abstraction related to finite constructive number classes. 
92j:03027 

Hoogerwoord, Rob On mathematical induction and the invariance theorem. (see $2i:68005) 

Scholten, Carel S. Goodbye junctivity? (see 92i:68005) 


03Cxx Model theory 


Items with secondary classifications in 03Cxx 


(Dahn, Bernd I.) see Proceedings: Conference on Model Theory, 92a:03004 
(Wolter, Helmut) see Proceedings: Conference on Model Theory, 92a:03004 and 92m:03004 


Items listed otherwise than by author 
Colloquium: 
Model Theory * Tpyab1 Copetcxo-®panuy3cxoro KonnoxsuyMa 0 Teopuu Mozenet. 
[Proceedings of the Soviet-French Colloquium on Model Theory] 92g:03005 
Conference: 
Model Theory * Proceedings of the 8th Easter Conference on Model Theory. 92a:03004 
— * Proceedings of the Ninth Easter Conference on Model Theory. 92m:03004 
Gosen * Proceedings of the Ninth Easter Conference on Model Theory. 92m:03004 
Proceedings: 

Colloquium on Model Theory * Tpyat1 Copetcko-®panuy3sckoro KomnoKsuyMa 10 
Teopuu Monenet. [Proceedings of the Soviet-French Colloquium on Model Theory] 
92g:03005 

Conference on Model Theory * Proceedings of the 8th Easter Conference on Model 
Theory. 92a:03004 

— * Proceedings of the Ninth Easter Conference on Model Theory. 92m:03004 

Wendisch-Rietz * Proceedings of the 8th Easter Conference on Model Theory. 92a:03004 


03C05 Equational classes, universal algebra [see also 08Axx] 

Albert, Michael H. Tests for injectivity in finitely generated universal Horn classes. 
92e:03042 

Comon, Hubert Solving inequations in term algebras (extended abstract). (see 92b:68007) 

Gurevié, R. Equational theory of positive numbers with exponentiation is not finitely 
axiomatizable. 92h:03039 

Hébert, Michel Sur l’existence des algébres libres pour les théories négatives. (English and 
Serbo-Croatian summaries) [On the existence of free algebras for negative theories] 
92a:03044 

Zamyatin, A. P. Rings with nilpotent elements in varieties with a decidable elementary 
theory. (Russian) 92a:03045 


Items with secondary classifications in 03C05 

Chuaqui, Rolando (with Suppes, Patrick) An equational deductive system for the differen- 
tial and integral calculus. 92f:03009 

Doggaz, Narjes (with Kirchner, Claude) Completion for unification. 92i:68143 

Dziobiak, Wieslaw Finitely generated congruence distributive quasivarieties of algebras. 
92a:08011 

Graczytiska, Ewa An undecidable problem for regular equations. 

Idziak, Pawel M. Sheaves in universal algebra and model theory. I. 92g:08010a 

— Sheaves in universal algebra and model theory. II. 92g:08010b 

— Decision problem for finite equivalential algebras. 

Kirchner, Claude From unification in combination of equational theories to a new AC- 
unification algorithm. 92b:03012 

— (with Klay, Francis) Syntactic theories and unification. (see 92b:68007) 

— see also Doggaz, Narjes, 92i:68143 

Kiss, Emil W. (with Valeriote, Matthew) Strongly abelian varieties and the Hamiltonian 
property. 92g:08004 

Klay, Francis see Kirchner, Claude, (92b:68007) 

McKenzie, Ralph (with Valeriote, Matthew) * The structure of decidable locally finite 
varieties. 92j:08001 

Nauryzbaev, K. A. Equational compactness with an inequality predicate. (Russian) 
92a:08005 


Nipkow, Tobias Proof transformations for equational theories. (see 92b:68007) 

Nurakunov, A.M. Quasivarieties of algebras with definable principal congruences. 
(Russian) 92k:08005 

Suppes, Patrick see Chuaqui, Rolando, 92f:03009 

Valeriote, Matthew see Kiss, Emil W., 92g:08004 and McKenzie, Ralph, 92j:08001 

Weaver, George Equational subsystems. 92f:08006 

Wos, Larry Meeting the challenge of fifty years of logic. 92e:03014 

Zickwolff, Monika Darstellung symmetrischer Strukturen durch Transversale. [Representa- 
tion of symmetric structures by transversals] 92j:08002 


03C07 Basic properties of first-order languages and structures 


Mustafin, T. G. On similarities and proximities of complete theories. (Russian) 92m:03041 

Tang, Li Zhong (with Zhu, Yi Qing) Co-satisfiable and co-valid of two first-order languages. 
92a:03046 

Zhu, Yi Qing see Tang, Li Zhong; et al., 92a:03046 


Items with secondary classifications in 03C07 


Anellis, Irving H. From semantic tableaux to Smullyan trees: a history of the development 
of the falsifiability tree method. 92a:03001 





77 1992 


Hyttinen, Tapani (with Vaananen, Jouko) On Scott and Karp trees of uncountable models. 


92j:03034 

Malitz, Jerome (with Mycielski, Jan; Reinhardt, William N.) The axiom of choice, the 
Léwenheim-Skolem th and Borel models. 92m:03079a 

— (with Mycielski, Jan; Reinhardt, William N.) Erratum to the paper: “The axiom of 
choice, the Lowenheim-Skolem theorem and Borel models”. 92m:03079b 

Mycielski, Jan see Malitz, Jerome; et al., 92m:03079a and 92m:03079b 

Reinhardt, William N. see Malitz, Jerome; et al., 92m:03079a and 92m:03079b 

Sizyi, S. V. Critical theories of some classes of graphs and unary algebras. (Russian) 
92£:03045 

Viaananen, Jouko see Hyttinen, Tapani, 92j:03034 





03C10 Quantifier elimination and related topics 


Basarab, Serban A. Relative elimination of quantifiers for Henselian valued fields. 
92j:03028 

Heintz, Joos (with Roy, Marie-Frangoise; Solerné, Pablo) Sur la complexité du principe 
de Tarski-Seidenberg. (English summary) [On the complexity of the Tarski-Seidenberg 
principle] 92g:03047 

Marongiu, G. (with Tulipani, S.) Quantifier elimination for infinite terms. 92i:03029 

Roy, Marie-Frangoise see Heintz, Joos; et al., 92g:03047 

Solerné, Pablo see Heintz, Joos; et al., 92g:03047 

Tulipani, S. see Marongiu, G., 92i:03029 


Items with secondary classifications in 03C10 


Bélair, Luc Le théoréme de Macintyre, un théoréme de Chevalley p-adique. (English 
summary) [Macintyre’s theorem: a p-adic Chevalley theorem] 92d:03024 

Bianconi, Ricardo Model completeness results for elliptic and abelian functions. 92i:03040 

Cherlin, Gregory L. (with Felgner, Ulrich) Homogeneous solvable groups. 92m:20027 

van den Dries, Lou (with Macintyre, Angus) The logic of Rumely’s local-global principle. 
92e:11144 

Felgner, Ulrich see Cherlin, Gregory L., 92m:20027 

Heintz, Joos (with Roy, Marie-Francoise; Solerné, Pablo) Complexité du principe de 
Tarski-Seidenberg. (English summary) [Complexity of the Tarski-Seidenberg principle] 
92¢:12012 

(Jacquette, Dale) see Presburger, Mojzesz, 92i:03003 

Macintyre, Angus Rationality of p-adic Poincaré series: uniformity in p. 92b:11085 

— see also van den Dries, Lou, 92e:11144 

Pas, Johan Local zeta functions and Meuser’s invariant functions. 92h:11104 

Presburger, Mojzesz On the completeness of a certain system of arithmetic of whole 
numbers in which addition occurs as the only operation. 92i:03003 

— see also Zygmunt, Jan, 92i:03002 

Roy, Marie-Frangoise see Heintz, Joos; et al., 92c:12012 

Solerné, Pablo see Heintz, Joos; et al., 92c:12012 

Szczerba, Lesitaw W. Geometry of regular configurations. (Russian summary) 92¢:90127a 

— On very regular configurations. (Russian summary) 92¢:90127b 

Weispfenning, V. The complexity of almost linear Diophantine problems. 92c:03047 

Zygmunt, Jan Mojzesz Presburger: life and work. 92i:03002 


03C13 Finite structures 


Dolan, Peter A zero-one law for a random subset. 92h:03040 

Fagin, Ronald Finite-model theory—a personal perspective. 92b:03039 

Knyazev, V. V. A zero-one law for many-sorted first-order predicate logic. (Russian) 
92a:03047 

— The 0-1 law for multisort first-order predicate logic. (Russian. English and Ukrainian 
summaries) 

Kolaitis, Phokion G. (with Vardi, Moshe Y.) 0-1 laws for infinitary logics (preliminary 
report). (see 92b:68007) 

— Implicit definability on finite structures and unambiguous computations (preliminary 
report). (see 92b:68007) 

Lynch, James F. Probabilities of sentences about very sparse random graphs. 92j:03029 

Mo, Shao Kui Solutions to the Scholz problems. (Chinese) 92f:03023 

Spencer, Joel H. Threshold spectra via the Ehrenfeucht game. 92b:03040 

Stepaniuk, Jaroslaw Applications of finite models properties in approximation and 
algorithmic logics. 92¢:03043 

Vardi, Moshe Y. see Kolaitis, Phokion G., (92b:68007) 


Items with secondary classifications in 03C13 

Anellis, Irving H. From semantic tableaux to Smullyan trees: a history of the development 
of the falsifiability tree method. 92a:03001 

Grumbach, Stéphane (with Vianu, Victor) Playing games with objects. 92j:68021 

Heuter, Uschi First-order properties of trees, star-free expressions, and aperiodicity. 
(French summary) 92g:03062 

Luczak, Tomasz (with Spencer, Joel H.) When does the zero-one law hold? 92¢:05104 

Spencer, Joel H. Undecidable probabilities. 92d:03033 

— Nonconvergence in the theory of random orders. 92m:05175 

— see also Luczak, Tomasz, 92¢:05104 

Vianu, Victor see Grumbach, Stéphane, 92j:68021 


03C15 Denumerable structures 


Bankston, Paul Corrigendum to: “Taxonomies of model-theoretically defined topological 
properties” [J. Symbolic Logic 55 (1990), no. 2, 589-603; MR 91g:03065]. 92i:03030 

Buechler, Steven An outline of Vaught’s conjecture for unidimensional theories. (see 
92g:03005) 

Linton, Tom Countable structures, Ehrenfeucht strategies, and Wadge reductions. 
92m:03042 

Macpherson, Dugald (with Schmerl, James H.) Binary relational structures having only 
countably many nonisomorphic substructures. 92k:03013 


03C Model theory 


03C35 


Omarova, G. A. Constructive models of Ehrenfeucht theories. (Russian) 92i:03031 
Schmerl, James H. see Macpherson, Dugald, 92k:03013 


Items with secondary classifications in 03C15 


Baisalov, E.R. Some results on support types in a superstable theory. (Russian) 92h:03042 

— Countable models of superstable theories. (Russian) 92h:03043 

— Countable models of small stable theories. (Russian) 92a:03048 

Ivanov, A. A. Some remarks on absolutely ubiquitous structures. (see 92g:03005) 

Mancosu, Paolo Generalizing classical and effective model theory in theories of operations 
and classes. 92g:03056 

Marker, David Bounds on Scott rank for various nonelementary classes. 92d:03026 

Schmerl, James H. Coinductive Xo-categorical theories. 92f:03024 

Sudoplatov, S. V. Powerful types in small theories. (Russian) 92g:03054 


03C20 Ultraproducts and related constructions 


Ion, Ion D. (with Nita, Constantin) Graded ultraproducts. 92i:03032 
Nita, Constantin see Ion, Ion D., 92i:03032 


Items with secondary classifications in 03C20 

Apter, Arthur W. (with Di Prisco, Carlos Augusto; Henle, James; Zwicker, William) Filter 
spaces. II. Limit ultraproducts and iterated embeddings. (Spanish summary) 92a:03069 

Bankston, Paul Corrigendum to: “Taxonomies of model-theoretically defined topological 
properties” [J. Symbolic Logic 55 (1990), no. 2, 589-603; MR 91g:03065]. 92i:03030 

Bergman, George M. (with Zimmermann-Huisgen, Birge) Infinite joins that are finitely 
join-irreducible. 92b:06014 

Di Prisco, Carlos Augusto see Apter, Arthur W.; et al., 92a:03069 

Haddad, Labib La double ultrapuissance. [The double ultrapower] 92k:03032 

Henle, James see Apter, Arthur W.; et al., 92a:03069 

Ion, Ion D. (with Nita, Constantin) Ultraproduct of field extensions. 92c:12013 

Kadelburg, Zoran (with Radenovié, Stojan) On ultrapowers of linear topological spaces 
without convexity conditions. 924:46008 

Levy, Ronnie (with Loustaunau, Philippe; Shapiro, Jay) The prime spectrum of an infinite 
product of copies of Z. 92i:11130 

Lewis, Alain A. A game-theoretic equivalence to the Hahn-Banach theorem. 92b:90249 

Loustaunanu, Philippe see Levy, Ronnie; et al., 92i:11130 

Morariu, Wanda (with Popescu, Dorin) Immediate extensions of filtered rings. (Italian 
summary) 92h:13003 

Nita, Constantin see Ion, Ion D., 92c:12013 

Péraire, Yves Saturation des *ultrapuissances d’une superstructure, idéalisation relative 
avec paramétres. (English summary) [Saturation of the *ultrapowers of a superstructure, 
relative idealization with parameters] 92g:03091 

Popescu, Dorin see Morariu, Wanda, 92h:13003 

Radenovié, Stojan see Kadelburg, Zoran, 92d:46008 

Sachwanowicz, Wojciech Boolean powers over incomplete Boolean algebras. 92b:03041 

Shapiro, Jay see Levy, Ronnie; et al., 92i:11130 

Spector, Mitchell Extended ultrapowers and the Vopénka-Hrbaéek theorem without choice. 
92h:03082 

Vourtsanis, Yiannis A direct proof of the Feferman-Vaught theorem and other preservation 
theorems in products. 92h:03041 

Zimmermann-Huisgen, Birge see Bergman, George M., 92b:06014 

Zwicker, William see Apter, Arthur W.; et al., 92a:03069 


03C25 Model-theoretic forcing 


Items with secondary classifications in 03C25 

Pais, John (with Peterson, Gerald E.) Using forcing to prove completeness of resolution 
and paramodulation. 92¢:68172 

Peterson, Gerald E. see Pais, John, 92c:68172 

Suchenek, Marek A. Incremental models of updating data bases. 92b:68026 


03C30 Other model constructions 
Sachwanowicz, Wojciech Boolean powers over incomplete Boolean algebras. 92b:03041 


03C35 Categoricity and completeness of theories 


Baisalov, E.R. Noncoordinatizability of Z/’ over its socle. (Russian) 92b:03042 

— An example of a theory that solves a problem of B. S. Baizhanov. 

Baizhanov, B.S. Relatively categorical, natural and noncoordinatizable models. (Russian) 
92b:03043 

Macpherson, Dugald Interpreting groups in w-categorical structures. 92m:03043 

Nartazin, A. T. Elementary pairs in uncountably categorical theories. (Russian) (see 
92g:03005) 

Omarov, A. I. Locally finite countable-category Horn theories. (Russian) 92d:03021 

Rothmaler, Philipp The spectrum function of an almost weakly minimal unidimensional 
theory is eventually constant. (see 92g:03005) 

Schmerl, James H. Coinductive Xo-categorical theories. 92f:03024 

Taimanov, A. D. A new example of a complete finitely axiomatizable uncountably 
categorical theory. (Russian) 92b:03044 


Items with secondary classifications in 03C35 


Albert, Michael H. (with Grossberg, Rami P.) Rich models. 92c:03038 

Cameron, Peter J. * Oligomorphic permutation groups. 92f:20002 

Camina, Alan R. (with Evans, David M.) Some infinite permutation modules. 92a:20003 

Droste, Manfred (with Macpherson, Dugald) On k-homogeneous posets and graphs. 
92e:03049 

Evans, David M. see Camina, Alan R., 92a:20003 

Grossberg, Rami P. see Albert, Michael H., 92c:03038 

(Jacquette, Dale) see Presburger, Mojzesz, 92i:03003 








03C35 


Macpherson, Dugald see Droste, Manfred, 92e:03049 

Makkai, Michael see Shelah, Saharon, 92a:03054 

Presburger, Mojzesz On the completeness of a certain system of arithmetic of whole 
numbers in which addition occurs as the only operation. 92i:03003 

Puninskii, G. E. A finite system of axioms for the model companion of the theory of all 
multitrees. (Russian) 92h:03052 

Shelah, Saharon (with Makkai, Michael) Categoricity of theories in L,~, with x a compact 
cardinal. 92a:03054 

Toffalori, Carlo Classification theory for a l-ary function. 92f:03027 

— Stability for pairs of equivalence relations. 92f:03028 

Vogt, Frank On modules with finite U-rank and few types. (see 92a:03004) 


03C40 Interpolation, preservation, definability 


Aoyama, Kiwamu Correction to: “On definability of relations in standard models of 
fragments of first order arithmetic” [Rep. Fac. Sci. Shizuoka Univ. 21 (1987), 1-8; MR 
88g:03048]. 92g:03050 

— see also Smith, Perry, 92g:03049 

Flothow, Christhard Definability in lattices of continuous functions: a contribution to first 
order topology. (see 92a:03004) 

Hébert, Michel Corrections to: “Preservation and interpolation through binary relations 
between theories” [Z. Math. Logik Grundlag. Math. 35 (1989), no. 2, 169-182; MR 
90c:03025]. 92g:03048 

Smith, Perry Remarks on a paper by K. Aoyama: “On definability of relations in standard 
models of fragments of first order arithmetic” [Rep. Fac. Sci. Shizuoka Univ. 21 (1987), 
1-8; MR 88g:03048]. 92g:03049 

Steinhorn, Charles (with Toffalori, Carlo) The Boolean spectrum of an o-minimal theory. 
92d:03022 

Toffalori, Carlo see Steinhorn, Charles, 92d:03022 

Vourtsanis, Yiannis A direct proof of the Feferman-Vaught theorem and other preservation 
theorems in products. 92h:03041 


Items with secondary classifications in 03C40 


Bélair, Luc Le théoréme de Macintyre, un théoréme de Chevalley p-adique. (English 
summary) [Macintyre’s theorem: a p-adic Chevalley theorem] 92d:03024 

— (with Duret, Jean-Louis) Définissabilité dans les corps de fonctions p-adiques. (English 
summary) [Definability in p-adic function fields] 92m:03053 

Courcelle, Bruno The monadic second-order logic of graphs. IV. Definability properties of 
equational graphs. 92i:03045 

Duret, Jean-Louis see Bélair, Luc, 92m:03053 

Forster, Thomas Permutations and stratified formulae—a preservation theorem. 92a:03070 

Hyttinen, Tapani Model theory for infinite quantifier languages. 92e:03051 

Krynicki, Michal (with Szczerba, Lestaw W.) On simplicity of formulas. 92d:03006 

Linton, Tom Countable structures, Ehrenfeucht strategies, and Wadge reductions. 
92m:03042 

Richard, Denis Equivalence of some questions in mathematical logic with some conjectures 
in number theory. 92i:03043 

Suchenek, Marek A. Applications of Lyndon homomorphism theorems to the theory of 
minimal models. 92¢:68179 

Szczerba, Lestaw W. see Krynicki, Michal, 92d:03006 

Talebi, Norollah Two models that show the interpolation theorem fails in all L'(Q,) and 
L'\(Q,), a=0, 1,2,---. 

Zakhar'yashchev, M. V. Modal companions of superintuitionistic logics: syntax, semantics 
and preservation theorems. (Russian) 92b:03034 


03C45 Stability and related concepts 


Aguzarov, I. (with Farey, R. E.; Poizat, Bruno) An infinite superstable group has infinitely 
many conjugacy classes. 92m:03044 

Baisalov, E.R. Some results on support types in a superstable theory. (Russian) 92h:03042 

— An omitting types theorem for superstable theories. (Russian) (see 92g:03005) 

— Countable models of superstable theories. (Russian) 92h:03043 

— Countable models of small stable theories. (Russian) 92a:03048 

Baizhanov, B.S. A connected type and dop in totally transcendental theories. (Russian) 
92g:03051 

Baldwin, J.T. (with Shelah, Saharon) The primal framework. I. 92i:03033 

— (with Shelah, Saharon) The primal framework. II. Smoothness. 92m:03045 

Banudisch, Andreas On superstable groups. 92¢:03044 

Bouscaren, Elisabeth D.O.P. and n-tuples of models. 92¢:03036 

— (with Laskowski, Michael C.) S-homogeneity and automorphism groups. (see 92g:03005) 

Buechler, Steven Pseudoprojective strongly minimal sets are locally projective. 92m:03046 

Evans, David M. (with Pillay, Anand; Poizat, Bruno) Le groupe dans le groupe. (English 
and Russian summaries) 92i:03034 

Farey, R. E. see Aguzarov, I.; et al., 92m:03044 

(Graham, Ronald L.) see Shelah, Saharon, 92f:03026 

Grossberg, Rami P. Indiscernible sequences in a model which fails to have the order 
property. 92m:03047 

— On chains of relatively saturated submodels of a model without the order property. 
92m:03048 

Hrushovski, Ehud Unidimensional theories are superstable. 92g:03052 

— (with Shelah, Saharon) Stability and omitting types. 92m:03049 

Lachlan, A. H. Complete coinductive theories. II. 92f:03025 

Lascar, Daniel Les beaux automorphismes. (English summary) [Beautiful automorphisms] 
92i:03035 

Laskowski, Michael C. see Bouscaren, Elisabeth, (92g:03005) 

Loveys, James Weakly minimal groups of unbounded exponent. 92¢:03045 

— Locally finite weakly minimal theories. 92m:03050 

Macpherson, Dugald Finite axiomatizability and theories with trivial algebraic closure. 
92j:03030 

Mustafin, T.G. Closure operators on models of stable theories. (Russian) 92m:03051 


MATHEMATICAL LOGIC AND FOUNDATIONS 


— New concepts of stability of theories. (Russian) (see 92g:03005) 

Newelski, Ludomir More on locally atomic models. 92h:03045 

— On type definable subgroups of a stable group. 92h:03044 

Ng, Siu-Ah A generalization of forking. 92i:03036 

— Definable FN bases. 92i:03037 

Nurmagambetov, T. A. Characterization of w-stable theories with a bounded number of 
dimensions. (Russian) 92h:03046 

Pillay, Anand (with Rothmaler, Philipp) Non-totally transcendental unidimensional 
theories. 92j:03031 

— Some remarks on modular regular types. 92g:03053 

— see also Evans, David M.,; et al., 92i:03034 

Poizat, Bruno Some trivial considerations. 92m:03052 

— see also Evans, David M.; et al., 92i:03034 and Aguzarov, I.; et al., 92m:03044 

Rabinovich, E. Some proofs on definability of a field. (see 92g:03005) 

Rothmaler, Philipp see Pillay, Anand, 92j:03031 

Shelah, Saharon * Classifying general classes. 92f:03026 

— More on monadic logic. Part C. Monadically interpreting in stable unsuperstable 7 and 
the monadic theory of “A. 92¢:03046 

— Multi-dimensionality. 92j:03032 

— see also Baldwin, J. T., 92i:03033; 92m:03045 and Hrushovski, Ehud, 92m:03049 

Sudoplatov, S. V. Trigonometries on an exact pseudoplane. (Russian) (see 92g:03005) 

— Powerful types in small theories. (Russian) 92g:03054 

Tanaka, Katsumi” On locally finite stable groups. 92¢:03047 

Toffalori, Carlo Weakly normal functions. (Italian summary) 92c:03037 

— Classification theory for a l-ary function. 92f:03027 

— 1-ary functions and the f.c.p. 92h:03047 

— Stability for pairs of equivalence relations. 92f:03028 

Vogt, Frank On modules with finite U-rank and few types. (see 92a:03004) 

Wagner, Frank O. Small stable groups and generics. 92j:03033 

Zhetpisov, K. Isomorphisms and automorphisms of models of countable superstable 
theories. (Russian) 92g:03055 

Zil’ber, B. 1. Quasi-Urbanik structures. (Russian) 92¢:03048 


Items with secondary classifications in 03C45 


Albert, Michael H. (with Grossberg, Rami P.) Rich models. 92c:03038 

Baudisch, Andreas A construction of superstable NDOP-NOTOP groups. (see 92a:03004) 

— Stable actions of periodic abelian groups on abelian groups. (see 92a:03004) 

Cameron, Peter J. * Oligomorphic permutation groups. 92f:20002 

Evans, David M. (with Hrushovski, Ehud) Projective planes in algebraically closed fields. 
92a:05031 

Grossberg, Rami P. see Albert, Michael H., 92c:03038 

Hrushovski, Ehud see Evans, David M., 92a:05031 

Lascar, Daniel Autour de la propriété du petit indice. (English summary) [About the small- 
index property] 92f:03029 

Macpherson, Dugald (with Schmerl, James H.) Binary relational structures having only 
countably many nonisomorphic substructures. 92k:03013 

Nesin, Ali On sharply n-transitive superstable groups. 92i:03039 

— Generalized Fitting subgroup of a group of finite Morley rank. 92h:03049 

Omarov, A. I. Locally finite countable-category Horn theories. (Russian) 92d:03021 

Poizat, Bruno Equations génériques. [Generic equations] (see 92a:03004) 

Schmerl, James H. Coinductive Xo-categorical theories. 92f:03024 

— see also Macpherson, Dugald, 92k:03013 

Zil’ber, B. 1. Algebraic geometry and combinatorics: a model-theoretic point of view. 
92m:05056 


03C50 Models with special properties (saturated, rigid, etc.) 

Albert, Michael H. (with Grossberg, Rami P.) Rich models. 92c:03038 

Grossberg, Rami P. see Albert, Michael H., 92c:03038 

Ivanov, A. A. Some remarks on absolutely ubiquitous structures. (see 92g:03005) 

Lascar, Daniel Autour de la propriété du petit indice. (English summary) [About the small- 
index property] 92f:03029 


Items with secondary classifications in 03C50 

Baisalov, E.R. An omitting types theorem for superstable theories. (Russian) (see 
92g:03005) 

Denisov, A.S. Homogeneous 0’-elements in structural pre-orders. (Russian) 92b:03045 

Droste, Manfred (with Macpherson, Dugald) On k-homogeneous posets and graphs. 
92e:03049 

Grossberg, Rami P. Indiscernible sequences in a model which fails to have the order 
property. 92m:03047 

— On chains of relatively saturated submodels of a model without the order property. 
92m:03048 

Macpherson, Dugald see Droste, Manfred, 92e:03049 

Omarova, G. A. Constructive models of Ehrenfeucht theories. (Russian) 92i:03031 

Péraire, Yves Saturation des *ultrapuissances d’une superstructure, idéalisation relative 
avec paramétres. (English summary) [Saturation of the *ultrapowers of a superstructure, 
relative idealization with parameters] 92g:03091 


03C52 Properties of classes of models 


Aragane, Kenichi On the weak form of the amalgamation property for universal Horn 
classes. 92d:03023 


Items with secondary classifications in 03C52 


Baldwin, J.T. (with Shelah, Saharon) The primal framework. II. Smoothness. 92m:03045 

Frasnay, Claude Détermination du degré optimal d,, de monomorphie pour les structures 
relationnelles au plus m-aires. [Determination of the optimal degree d,, of monomorphy 
for at most m-ary relational structures] 92g:04003 

Shelah, Saharon see Baldwin, J. T., 92m:03045 





79 1992 


03C55 Set-theoretic model theory 


Macpherson, Dugald (with Mekler, Alan H.; Shelah, Saharon) The number of infinite 
substructures. 92a:03049 

Mekler, Alan H. see Macpherson, Dugald; et al., 92a:03049 

Shelah, Saharon see Macpherson, Dugald; et al., 92a:03049 


Items with secondary classifications in 03C55 


Baldwin, J.T. (with Shelah, Saharon) The primal framework. II. Smoothness. 92m:03045 

Baumgartner, James E. On the size of closed unbounded sets. 92m:03072 

Hyttinen, Tapani (with Vaananen, Jouko) On Scott and Karp trees of uncountable models. 
925:03034 

Lempert, Laszl6 (with Rubel, Lee A.) An independence result in several complex variables. 
92¢:32016 

Malitz, Jerome (with Mycielski, Jan; Reinhardt, William N.) The axiom of choice, the 
Léwenheim-Skolem theorem and Borel models. 92m:03079a 

— (with Mycielski, Jan; Reinhardt, William N.) Erratum to the paper: “The axiom of 
choice, the Lowenheim-Skolem th and Borel models”. 92m:03079b 

Mancosnu, Paolo Generalizing classical and effective model theory in theories of operations 
and classes. 92g:03056 

Marker, David Bounds on Scott rank for various nonelementary classes. 924:03026 

Mycielski, Jan see Malitz, Jerome; et al., 92m:03079a and 92m:03079b 

Reinhardt, William N. see Malitz, Jerome; et al., 92m:03079a and 92m:03079b 

Rubel, Lee A. see Lempert, Laszl6, 92c:32016 

Shelah, Saharon see Baldwin, J. T., 92m:03045 

Viaananen, Jouko see Hyttinen, Tapani, 92j:03034 





03C57 Recursion-theoretic model theory [see also 03D45] 


Denisov, A.S. Homogeneous 0’-elements in structural pre-orders. (Russian) 92b:03045 

Fedoryaev, S. T. Constructivizable models with a linear structure of algebraic reducibility. 
(Russian) 92h:03048 

Harizanov, Valentina S. Uncountable degree spectra. 92i:03038 

Khusainov, B. M. Invariant finitely generated submodels. (Russian. Uzbek summary) 
92£:03030 

Mancosn, Paolo Generalizing classical and effective model theory in theories of operations 
and classes. 92g:03056 

Marker, David Enumerations of Turing ideals with applications. 92c:03039 

Michaux, Christian Corrigendum: “Ordered rings over which output sets are recursively 
enumerable sets” [Proc. Amer. Math. Soc. 112 (1991), no. 2, 569-575; MR 91i:03073]. 

Morozov, A.S. Rigid constructive modules. (Russian) 92a:03050 

Reed, Robert C. A decidable Ehrenfeucht theory with exactly two hyperarithmetic models. 
92g:03057 

Zaurbekov, S.S. The number of finitely axiomatizable completions. (Russian) 92g:03058 


Items with secondary classifications in 03C57 

Downey, Rodney (with Knight, Julia F.) Orderings with ath jump degree 0°). 92e:03063 
Knight, Julia F. see Downey, Rodney, 92¢:03063 

Latkin, E. 1. Polynomial auto-instability. An algebraic approach. (Russian) 92i:68066 
Omarova, G. A. Constructive models of Ehrenfeucht theories. (Russian) 92i:03031 


03C60 Model-theoretic algebra [see also 08C10, 12Lxx, 13L05] 


Baudisch, Andreas A construction of superstable NDOP-NOTOP groups. (see 92a:03004) 

— Stablz actions of periodic abelian groups on abelian groups. (see 92a:03004) 

Bélair, Luc Le théoréme de Macintyre, un théor¢me de Chevalley p-adique. (English 
summary) [Macintyre’s theorem: a p-adic Chevalley theorem] 92d:03024 

— Anneaux p-adiquement clos et anneaux de fonctions définissables. [p-adically closed rings 
and rings of definable functions] 92k:03014 

— (with Duret, Jean-Louis) Définissabilité dans les corps de fonctions p-adiques. (English 
summary) [Definability in p-adic function fields] 92m:03053 

Brestovski, Michel Théorie des modéles et équations differentielles algébriques. [Model 
theory and differential algebraic equations] (see 92g:03005) 

Carson, Andrew B. Rings that are not elementarily equivalent to a function ring. 92a:03051 

Dickmann, M. A. A combinatorial geometric structure on the space of orders of a field. (see 
92a:03004) 

Duret, Jean-Louis see Bélair, Luc, 92m:03053 

Ershov, Yu. L. A problem of Jarden-Shelah. (Russian) 92a:03052 

Kuhimann, Franz-Viktor Generalized Ax-Kochen-Ershov-principles. (see 92a:03004) 

Leloup, G. Paires de corps valués henseliens. [Pairs of Henselian valued fields] (see 
92g:03005) 

Lyubetskii, V. A. A transfer theorem in the theory of rings. (Russian) (see 91b:03003) 

Marker, David (with Pillay, Anand) Reducts of (C,+,-) which contain +. 92d:03025 

Naturman, Colin (with Rose, Henry) Elementary equivalent pairs of algebras associated 
with sets. 92g:03059 

Nesin, Ali On sharply n-transitive superstable groups. 92i:03039 

— Generalized Fitting subgroup of a group of finite Morley rank. 92h:03049 

Pillay, Anand see Marker, David, 92d:03025 

Rose, Henry see Naturman, Colin, 92g:03059 

Wolter, Helmut A generalization of Sturm’s theorem to a special class of exponential terms. 
(see 92a:03004) 


Items with secondary classifications in 03C60 

Aguzarov, I. (with Farey, R. E.; Poizat, Bruno) An infinite superstable group has infinitely 
many conjugacy classes. 92m:03044 

Baisalov, E.R. Noncoordinatizability of Z? over its socle. (Russian) 92b:03042 

Baizhanov, B.S. Relatively categorical, natural and noncoordinatizable models. (Russian) 
92b:03043 

Basarab, Serban A. Relative elimination of quantifiers for Henselian valued fields. 
92j:03028 

Baudisch, Andreas On superstable groups. 92¢:03044 


03C Model theory 


03C60 


Bélair, Luc Spectre p-adique: aspects topologiques et géométriques. [The p-adic spectrum: 
topological and geometric aspects] 92g:12010 

— Vecteurs de Witt. [Witt vectors] 92j:12015 

Belegradek, O. V. Groups elementarily equivalent to UT3(R). (see 92a:03004) 

Bogomolov, V.S. (with Mustafin, T.G.) Description of commutative monoids over which 
ail polygons are w-stable. (Russian) 92g:20108 

, Margarita An elementary based sufficient condition for sums of 2th powers of 

polynomials over non-Archimedean real closed fields. 92e:12009 

Bryant, Roger M. (with Groves, J. R. J.) On automorphisms of relatively free groups. 
92h:20040 

Cameron, Peter J. * Oligomorphic permutation groups. 92f:20002 

Chatzidakis, Zoé On the cohomological dimension of nonstandard number fields. 
92j:11151 

Cherlin, Gregory L. (with Felgner, Ulrich) Homogeneous solvable groups. 92m:20027 

Dahn, Bernd I. (with Lenski, Wolfgang) Universally generic finitely generated ordered 
abelian groups. (see 92a:03004) 

van den Dries, Lou (with Macintyre, Angus) The logic of Rumely’s local-global principle. 
92e:11144 

Eklof, Paul C. (with Mekler, Alan H.) * Almost free modules. 92e:20001 

— A transfer theorem for nonstandard uniserials. 92f:13027 

Evans, David M. (with Pillay, Anand; Poizat, Bruno) Le groupe dans le groupe. (English 
and Russian summaries) 92i:03034 

— (with Hodges, Wilfrid; Hodkinson, I. M.) Automorphisms of bounded abelian groups. 
92k:20105 

— (with Hrushovski, Ehud) Projective planes in algebraically closed fields. 92a:05031 

Farey, R. E. see Aguzarov, I.; et al., 92m:03044 

Felgner, Ulrich Pseudo-endliche Gruppen. [Pseudofinite groups] (see 92a:03004) 

— see also Cherlin, Gregory L., 92m:20027 

Gondard-Cozette, Danielle Le 17@me probléme de Hilbert et ses développements récents. 
[Hilbert’s 17th problem and recent developments] 92k:12003 

Green, Barry W. (with Matignon, M.; Pop, Florian) On valued function fields. II. Regular 
functions and elements with the uniqueness property. 92e:12008 

Grigor’ev, D. Yu. see Vorob/ev, N. N., Jr., 92g:03019 

Groves, J. R. J. see Bryant, Roger M., 92h:20040 

Heintz, Joos (with Roy, Marie-Francoise; Solerné, Pablo) Sur la complexité du principe 
de Tarski-Seidenberg. (English summary) [On the complexity of the Tarski-Seidenberg 
principle] 92g:03047 

Hodges, Wilfrid see Evans, David M.; et al., 92k:20105 

Hodkinson, I. M. see Evans, David M.; et al., 92k:20105 

Hrushovski, Ehud Unidimensional theories are superstable. 92g:03052 

— see also Evans, David M., 92a:05031 

Ton, Ion D. (with Nita, Constantin) Graded ultraproducts. 92i:03032 

Kiinzi, Urs-Martin Decidable theories of pseudo-p-adically closed fields. (Russian) 
92d:03005 

Lenski, Wolfgang see Dahn, Bernd I., (92a:03004) 

Loveys, James Weakly minimal groups of unbounded exponent. 92e:03045 

Macintyre, Angus Rationality of p-adic Poincaré series: uniformity in p. 92b:11085 

— see also van den Dries, Lou, 92e:11144 

Macpherson, Dugald (with Praeger, Cheryl E.) Maximal subgroups of infinite symmetric 
groups. 92d:20007 

— Interpreting groups in w-categorical structures. 92m:03043 

Matignon, M. see Green, Barry W.; et al., 92e:12008 

McCleary, Stephen H. Telling left from right. 92d:06039 

Mekler, Alan H. see Eklof, Paul C., 92e:20001 

Mustafin, T. G. see Bogomolov, V. S., 92g:20108 

Newelski, Ludomir On type definable subgroups of a stable group. 92h:03044 

Nita, Constantin see Ion, Ion D., 92i:03032 

Oger, Francis Cancellation and elementary equivalence of finitely generated finite-by- 
nilpotent groups. 92k:20003 

Omarov, A. I. Locally finite countable-category Horn theories. (Russian) 92d:03021 

Osofsky, Barbara L. A construction of nonstandard uniserial modules over valuation 
domains. 92¢:13022 

Pas, Johan Local zeta functions and Meuser’s invariant functions. 92h:11104 

Pillay, Anand see Evans, David M.; et al., 92i1:03034 

Poizat, Bruno Equations génériques. [Generic equations] (see 92a:03004) 

— see also Evans, David M.; et al., 92i:03034 and Aguzarov, I.; et al., 92m:03044 

Pop, Florian see Green, Barry W.; et al., 92e:12008 

Praeger, Cheryl E. see Macpherson, Dugald, 92d:20007 

Prest, Mike Wild representation type and undecidability. 92g:16020 

Prestel, A. (with Schmid, Joachim) Existentially closed domains with radical relations: an 
axiomatization of the ring of algebraic integers. 92c:12014 

— (with Schmid, Joachim) Decidability of the rings of real algebraic and p-adic algebraic 
integers. 92k:03005 

Rabinovich, E. Some proofs on definability of a field. (see 92g:03005) 

Roy, Marie-Francoise see Heintz, Joos; et al., 92g:03047 

Sabbagh, Gabriel (with Wilson, John S.) Polycyclic groups, finite images, and elementary 
equivalence. 92k:20067 

Schmid, Joachim see Prestel, A., 92c:12014 and 92k:03005 

Solerné, Pablo see Heintz, Joos; et al., 92g:03047 

Tanaka, Katsumi? On locally finite stable groups. 92¢:03047 

Toffale:'. Carlo Weakly normal functions. (Italian summary) 92c:03037 

Vorob cv, N. N., Jr. (with Grigor’ev, D. Yu.) Determination of the connectivity components 
of a semi-algebraic set in subexponential time. (Russian. English summary) 92g:03019 

Wagner, Frank O. Small stable groups and generics. 92j:03033 

Wang, Shi Qiang A generalization of Hilbert’s Nullstellensatz. (Chinese) 

Wilson, John S. see Sabbagh, Gabriel, 92k:20067 

Zil’ber, B. 1. Algebraic geometry and combinatorics: a model-theoretic point of view. 
92m:05056 





03C62 


03C62 Models of arithmetic and set theory [see also 03Hxx] 


Abian, Alexander (with Amin, Wael A.) The cardinality of po 
powerset axiom. 92h:03050 

Amin, Wael A. see Abian, Alexander, 92h:03050 

Bianconi, Ricardo Model completeness results for elliptic and abelian functions. 92i:03040 

Clavelli, Massimo The paradox of the two classes. (Italian. English summary) 92i:03041 

Kaye, Richard William Model-theoretic properties characterizing Peano arithmetic. 
92m:03054 

— On cofinal extensions of models of fragments of arithmetic. 92i:03042 

Kossak, Roman (with Schmerl, James H.) Minimal satisfaction classes with an application 
to rigid models of Peano arithmetic. 92h:03051 

Richard, Denis Equivalence of some questions in mathematical logic with some conjectures 
in number theory. 92i:03043 

Schmerl, James H. see Kossak, Roman, 92h:03051 

Zhao, Xi Shun The axiom of choice in the model C. (Chinese) 


in finite models of the 





Items with secondary classifications in 03C62 

Adamowicz, Zofia End-extending models of [Ap + exp +B. 92j:03060 

Bukovsky, Lev (with Coplakov4-Hartova, Eva) Minimal collapsing extensions of models of 
ZFC. 92¢:03077 

Coplakova-Hartova, Eva see Bukovsky, Lev, 92e:03077 

Forster, Thomas Permutations and stratified formulae—a preservation theorem. 92a:03070 

Habart, Karol On absoluteness. 92¢:03079 

Hinnion, Roland Embedding properties and anti-foundation in set theory. 92e:03082a 

— Correction to: “Embedding properties and anti-foundation in set theory”. 92e:03082b 

Kaye, Richard William * Models of Peano arithmetic. 92k:03034 

Kotlarski, Henryk On the end extension problem for Ap-PA(S). 92¢:03094 

Levy, Ronnie (with Loustaunau, Philippe; Shapiro, Jay) The prime spectrum of an infinite 
product of copies of Z. 92i:11130 

Li, Na The Boolean-valued model of the axiom system of GB. 92m:03085 

Loustaunan, Philippe see Levy, Ronnie; et al., 92i:11130 

Mancosu, Paolo Generalizing classical and effective model theory in theories of operations 
and classes. 92g:03056 

McLaughlin, Thomas G. Sub-arithmetical ultrapowers: a survey. 92k:03035 

Shapiro, Jay see Levy, Ronnie; et al., 92i:11130 


03C65 Models of other mathematical theories 


Droste, Manfred (with Macpherson, Dugald) On k-homogeneous posets and graphs. 
92e:03049 

Dulatova, Z. A. see Vinokurov, S. F.; et al., 92a:03053 

Gauthier, Henri Simplification pour les produits lexicographiques d’ordres totaux. 
[Simplication for lexicographic products of total orderings] 92b:03046 

Macpherson, Dugald see Droste, Manfred, 92e:03049 

Myasnikov, A.G. The theory of models of bilinear mappings. (Russian) 92g:03060 

Peryazev, N. A. see Vinokurov, S. F.; et al., 92a:03053 

Puninskii, G. E. Model-complete theories of trees. (Russian) 92e:03050 

Tolstykh, V. A. Some interpretations in the general linear group. (Russian) (see 92g:03005) 

Vinokurov, S. F. (with Dulatova, Z. A.; Peryazev, N. A.) Positive classification of Boolean 
algebras in an extended signature. (Russian) 92a:03053 


Items with secondary classifications in 03C65 


Bankston, Paul Corrigendum to: “Taxonomies of model-theoretically defined topological 
properties” [J. Symbolic Logic 55 (1990), no. 2, 589-603; MR 91g:03065]. 92i:03030 

Bayasgalan, B. Decidability of the @-V-theory of quasi-ordered sets. (Russian) 92f:03006 

Eisele, Eberhard Topologische affine Ebenen mit nichtstetigem Parallelismus. (English 
summary) [Topological affine planes having noncontinuous parallelism] 92m:51032 

Flothow, Christhard Definability in lattices of continuous functions: a contribution to first 
order topology. (see 92a:03004) 

Fuchino, Sakaé (with Koppelberg, Sabine) Pseudo-tree algebras which are embeddable into 
L.ow,-free Boolean algebras. (see 92a:03004) 

Grigor’ev, D. Yu. see Vorob’ev, N. N., Jr., 92g:03019 

Hagendorf, Jean Guillaume La reconstruction des chaines et des relations infinies. (English 
summary) [Reconstruction of infinite chains and relations] 92g:06001 

Koppelberg, Sabine see Fuchino, Sakaé, (92a:03004) 

van Lambalgen, Michiel The axiomatization of randomness. 92f:68075 

Seese, Detlef The structure of the models of decidable monadic theories of graphs. 
92j:03037 

Thomas, Simon Reducts of the random graph. 92m:05092 

Toffalori, Carlo Stability for pairs of equivalence relations. 92f:03028 

Vorob’ev, N. N., Jr. (with Grigor'ev, D. Yu.) Determination of the connectivity components 
of a semi-algebraic set in subexponential time. (Russian. English summary) 92g:03019 


03C68 Other classical first-order model theory 


Puninskii, G. E. A finite system of axioms for the model companion of the theory of all 
multitrees. (Russian) 92h:03052 


Items with secondary classifications in 03C68 
Lachlan, A.H. Complete coinductive theories. II. 92f:03025 


03C70 Logic on admissible sets 


Djordjevi¢é, Radosav Z. Barwise completeness theorems for logics with integrals. 92h:03053 

— see also Raskovi¢, Miodrag D., 92i:03044 

RaSkovi¢, Miodrag D. Weak completeness theorem for Ly py logic. (Serbo-Croatian 
summary) 92b:03047 

— (with Tanovié, Predrag) Completeness theorem for a monadic logic with both first-order 
and probability quantifiers. 92f:03031 


MATHEMATICAL LOGIC AND FOUNDATIONS 


1992 80 


— (with Djordjevié, Radosav Z.) Finite compactness theorem for biprobability logics. 
92i:03044 
Tanovi¢, Predrag see RaSkovi¢, Miodrag D., 92f:03031 


03C75 Other infinitary logic 


Hyttinen, Tapani Model theory for infinite quantifier languages. 92e:03051 

— (with Vaananen, Jouko) On Scott and Karp trees of uncountable models. 92j:03034 

Makkai, Michael see Shelah, Saharon, 92a:03054 

Marker, David Bounds on Scott rank for various nonelementary classes. 924:03026 

Shelah, Saharon (with Makkai, Michael) Categoricity of theories in L,.,, with xk a compact 
cardinal. 92a:03054 

Viaaninen, Jouko see Hyttinen, Tapani, 92j:03034 


Items with secondary classifications in 03C75 


Caicedo, Xavier Definability properties and the congruence closure. 92f:03032 

Grossberg, Rami P. Indiscernible sequences in a model which fails to have the order 
property. 92m:03047 

— On chains of relatively saturated submodels of a model without the order property. 
92m:03048 

Kolaitis, Phokion G. (with Vardi, Moshe Y.) 0-1 laws for infinitary logics (preliminary 
report). (see 92b:68007) 

Linton, Tom Countable structures, Ehrenfeucht strategies, and Wadge reductions. 
92m:03042 

Martinez, Juan Carlos On scattered spaces and Boolean algebras. (Spanish. English 
summary) (see 92b:00044) 

RaSkovi¢, Miodrag D. Weak completeness theorem for Ly py logic. (Serbo-Croatian 
summary) 92b:03047 

Vardi, Moshe Y. see Kolaitis, Phokion G., (92b:68007) 

Zhao, Xi Shun The axiom of choice in the model C. (Chinese) 


03C80 Logic with extra quantifiers and operators 
[see also 03B45] 


Caicedo, Xavier Definability properties and the congruence closure. 92f:03032 

— (with Lesmes, Juan M.) Axiomatization of monadic logics with various cardinal 
quantifiers. (Spanish. English summary) 92a:03055 

Carlstrom, Ian F. A truth-functional logic for near-universal generalizations. 92g:03061 

Krynicki, Michat Linearly ordered quantifiers. (Russian summary) 92¢:03052 

Lesmes, Juan M. see Caicedo, Xavier, 92a:03055 

Lépez-Escobar, E.G. K. Formalizing a nonlinear Henkin quantifier. 92j:03035 

Maciaszek, Janusz On different notions of quantifiers. (Polish summary) 92¢:03053 

Mostowski, Marcin Divisibility quantifiers. 

Patton, Thomas E. On the ontology of branching quantifiers. 92f:03033 

Pinus, A.G. Calculus with an automorphism quantifier. (Russian) 92a:03056 

Talebi, Norollah Two models that show the interpolation theorem fails in all L'(Q,) and 
L'(Q,), a=0,1,2,--+. 


Items with secondary classifications in 03C80 


Djordjevi¢, Radosav Z. Barwise completeness theorems for logics with integrals. 92h:03053 

— see also Raskovié, Miodrag D., 92i:03044 

van Lambalgen, Michiel The axiomatization of randomness. 92f:68075 

Martinez, Juan Carlos On scattered spaces and Boolean algebras. (Spanish. English 
summary) (see 92b:00044) 

RaSkovi¢, Miodrag D. Weak completeness theorem for Ly py logic. (Serbo-Croatian 
summary) 92b:03047 

— (with Tanovié, Predrag) Completeness theorem for a monadic logic with both first-order 
and probability quantifiers. 92f:03031 

— (with Djordjevié, Radosav Z.) Finite compactness theorem for biprobability logics. 
92i:03044 

Shimura, Tatsuya On the strength of PA with a nonprincipal ultrafilter quantifier. 
92k:03027 

Tanovi¢, Predrag see RaSkovi¢é, Miodrag D., 92f:03031 


03C85 Second- and higher-order model theory 


Chuaqui, Rolando see Marshall, M. Victoria, 92j:03036 

Courcelle, Bruno The monadic second-order logic of graphs. IV. Definability properties of 
equational graphs. 92i:03045 

Forster, Thomas A consistent higher-order theory without a (higher-order) model. 
92¢:03054 

Marshall, M. Victoria (with Chuaqui, Rolando) Sentences of type theory: the only 
sentences preserved under isomorphisms. 92j:03036 

Nurtazin, A.T. Nonformula extensions of decidable weak monadic second-order theories. 
(Russian) 92e:03055 

Seese, Detlef The structure of the models of decidable monadic theories of graphs. 
92j:03037 


Items with secondary classifications in 03C85 

Arnborg, Stefan (with Proskurowski, Andrzej; Seese, Detlef) Monadic second order logic, 
tree automata and forbidden minors. (see 92d:68007) 

Courcelle, Bruno The monadic second-order logic of graphs. V. On closing the gap between 
definability and recognizability. 92m:68061 

Engelfriet, Joost A regular characterization of graph languages definable in monadic second- 
order logic. 92g:68078 

Fagin, Ronald Finite-model theory—a personal perspective. 92b:03039 

Gnitka, Stanislaw * Operators and topologies in relational systems. 92f:04001 

Proskurowski, Andrzej see Arnborg, Stefan; et al., (92d:68007) 

Seese, Detlef see Arnborg, Stefan; et al., (92d:68007) 





81 1992 


Shelah, Saharon More on monadic logic. Part C. Monadically interpreting in stable 
unsuperstable 7 and the monadic theory of “A. 92¢:03046 


03C90 Nonclassical models (Boolean-valued, sheaf, etc.) 
Lyubetskii, V. A. On some applications of Heyting-valued analysis. II. 92m:03055 


Items with secondary classifications in 03C90 

Heyer, Dieter * Booleschwertige und probabilistische MeBtheorie. (German) [Boolean- 
valued and probabilistic measurement theory] 92f:92049 

Kusraev, A. G. (with Kutateladze, S. S.) %* Hecrangaprupie Metogsi anamusa. (Russian) 
[Nonstandard methods of analysis] 92c:03074 

— (with Malyugin, S. A.) On the extension of finitely additive vector measures. (Russian) 
92g:28023 

— On the structure of vector measures and complete Boolean algebras. (Russian) 92k:28020 

Kutateladze, S.S. see Kusraev, A. G., 92c:03074 

Langholm, Tore What is a Horn clause in partial logic? 92a:03041 

Malyugin, S. A. see Kusraev, A. G., 92g:28023 

Nishimura, Hirokazu Some connections between Boolean valued analysis and topological 
reduction theory for C*-algebras. 922:46066 

RaSkovi¢, Miodrag D. Weak completeness theorem for Ly py logic. (Serbo-Croatian 
summary) 92b:03047 

Rychkov, S. V. On the completeness theorem for multivalued structures. (Russian) 


03C95 Abstract model theory 


Items with secondary classifications in 03C95 
Caicedo, Xavier Definability properties and the congruence closure. 92f:03032 


Mancosu, Paolo Generalizing classical and effective model theory in theories of operations 
and classes. 92g:03056 


03C99 None of the above, but in this section 


Items with secondary classifications in 03C99 

Fagin, Ronald (with Halpern, Joseph Y.; Vardi, Moshe Y.) A model-theoretic analysis of 
knowledge. 92f:68172 

Halpern, Joseph Y. see Fagin, Ronald; et al., 92f:68172 

McCanna, Joseph Fractal dimensions of graphs. 92m:05076 

Vardi, Moshe Y. see Fagin, Ronald; et al., 92f:68172 


03Dxx Recursion theory 


Items with secondary classifications in 03Dxx 

Dunne, Paul E. * Computability theory. 92g:68003 

Hong, Jia Wei * Computation: computability, similarity and duality. 92¢:68039 

Rautenberg, Wolfgang Unvollstandigkeit, Unentscheidbarkeit, Nichtdefinierbarkeit. 
[Incompleteness, undecidability, undefinability] 92h:03003 

Smorytiski, Craig * Logical number theory. I. 92g:03001 


03D03 Thue and Post systems, etc. 


Yap, Chee-Keng A new lower bound construction for commutative Thue systems with 
applications. 92i:03046 


Items with secondary classifications in 03D03 

Fiilép, Z. A complete description for a monoid of deterministic bottom-up tree transforma- 
tion classes. 92h:68043 

Li, Lian see Li, Yong Li; et al., 92b:68042 

Li, Yong Li (with Zhang, Luo Xin; Li, Lian) Decidability of regular problems for monoids 
presented by Church-Rosser systems. (Chinese. English summary) 92b:68042 

Madlener, K. (with Otto, Friedrich) Decidable sentences for context-free groups. 
92c:68096 

Otto, Friedrich see Madlener, K., 92c:68096 

Sénizergues, Géraud Some decision problems about controlled rewriting systems. 
924:68074 

Zhang, Luo Xin see Li, Yong Li; et al., 92b:68042 


03D05 Automata and formal grammars in connection with logical 
questions [see also 68Qxx] 


Arikawa, Setsuo (with Shinohara, Takeshi; Yamamoto, Akihiro) Inductive inference of 
formal languages by elementary formal systems. (see 92b:68008) 

Bonizzoni, P. (with Mauri, Giancarlo) On automata on infinite trees. 92m:03056 

Geidmanis, Dainis Unsolvability of the emptiness problem for alternating |-way multi-head 
and multi-tape finite automata over single-letter alphabet. (Russian summary) 92c:03040 

Gilleron, Rémi Decision problems for term rewriting systems and recognizable tree 
languages. 92c:03041 

Girault-Beauquier, Daniele (with Nivat, M.; Niwifiski, Damian) About the effect of the 
number of successful paths in an infinite tree on the recognizability by a finite automaton 
with Biichi conditions. (see 92g:68007) 

Heuter, Uschi First-order properties of trees, star-free expressions, and aperiodicity. 
(French summary) 92g:03062 

Latch, Dana May The connection between the fundamental groupoid and a unification 
algorithm for syntactil algebras (extended abstract). (French summary) 

Mauri, Giancarlo see Bonizzoni, P., 92m:03056 

Michel, Pascal An NP-complete language accepted in linear time by a one-tape Turing 
machine. 92h:03054 


03D Recursion theory 


03D05 


Moore, Cristopher Generalized shifts: unpredictability and undecidability in dynamical 
systems. 92¢:03042 

Mostowski, A. W. Hierarchies of weak automata and weak monadic formulas. 92h:03055 

Nivat, M. see Girault-Beauquier, Daniele; et al., (92g:68007) 

Niwitiski, Damian see Girault-Beauquier, Daniele; et al., (92g:68007) 

Shinohara, Takeshi see Arikawa, Setsuo; et al., (92b:68008) 

Yamamoto, Akihiro see Arikawa, Setsuo; et al., (92b:68008) 


Items with secondary classifications in 03D05 

Allender, Eric (with Gore, Vivek) Rudimentary reductions revisited. 92m:68030 

Arnborg, Stefan (with Proskurowski, Andrzej; Seese, Detlef) Monadic second order logic, 
tree automata and forbidden minors. (see 92d:68007) 

Barua, Rana On generalized automata. 92k:68076 

Book, Ronald V. see Diekert, Volker, 92h:68047 

Biichi, J. Richard * The collected works of J. Richard Biichi. 92b:01080 

Buntrock, Gerhard (with Jenner, Birgit; Lange, Klaus-Jérn; Rossmanith, Peter) Unambigu- 
ity and fewness for logarithmic space. (see 92g:68007) 

— (with Drewes, Frank; Lautemann, Clemens; Mossakowski, T.) Some modifications of 
auxiliary pushdown automata. (French summary) 92k:68025 

Calude, Cristian (with Kurta, Eva) On Kraft-Chaitin inequality. 92c:94004 

Cho, Sang (with Huynh, Ding T.) Finite-automaton aperiodicity is PSPACE-complete. 
92k:68028 

Cohen-Chesnot, Joélle On the expressive power of temporal logic for infinite words. 
92h:68046 

Condon, Anne Space-bounded probabilistic game automata. 92¢:68038 

Dassow, Jiirgen (with Lange, Klaus-Jérn) Computational complexity and hardest languages 
of automata with abstract storages. (see 92g:68007) 

= Volker (with Ochmanski, Edward; Reinhardt, Klaus) On confluent semi- 

decidability and complexity results (extended abstract). (see 92g:68004) 

= (oll Book, Ronald V.) On “inherently context-sensitive” languages—an application of 
complexity cores. 92h:68047 

Drewes, Frank see Buntrock, Gerhard; et al., 92k:68025 

Engelfriet, Joost A regular characterization of graph languages definable in monadic second- 
order logic. 92g:68078 

Fachini, Emanuela (with Monti, A.; Napoli, M.; Parente, D.) Systolic Y-tree automata: 
closure properties and decision problems. (see 92g:68007) 

Farifias del Cerro, Luis (with Penttonen, Martti) Grammar logics. 92i:03015 

Fortnow, Lance see Lund, Carsten; et al., 92m:68105 

Gerla, Giangiacomo Fuzzy grammars and recursively enumerable fuzzy languages. 
92m:68063 

Gore, Vivek see Allender, Eric, 92m:68030 

Hansel, Georges (with Krob, Daniel; Michaux, Christian) Stochastic automata and length 
distributions of rational languages. (see 92g:68008) 

Harju, Tero (with Karhumaki, Juhani) The equivalence problem of multitape finite 
automata. 92e:68131 

Hemachandra, Lane A. (with Wechsung, Gerd) Kolmogorov characterizations of complex- 
ity classes. 92j:68034 

Hromkovit, Juraj (with Karhumaki, Juhani; Rovan, Branislav; Slobodova, Anna) On the 
power of synchronization in parallel computations. 92m:68025 

Huynh, Ding T. see Cho, Sang, 92k:68028 

Ibarra, Oscar H. (with Jiang, Tao') Learning regular minis from counterexamples. 
92¢:68153 

— (with Tran, Nicholas Q.) On space-bounded synchronized alternating Turing machines. 
(see 92g:68007) 

Immerman, Neil (with Lander, Eric) 
canonization. (see 92d:68055) 

Jenner, Birgit see Buntrock, Gerhard; et al., (92g:68007) 

Jiang, Tao! (with Ravikumar, Bala) A note on the space complexity of some decision 
problems for finite automata. 92k:68079 

— see also Ibarra, Oscar H., 92c:68153 

Kaneps, Janis Regularity of one-letter languages acceptable by 2-way finite probabilistic 
automata. (see 92g:68007) 

Karhumiaki, Juhani see Harju, Tero, 92e:68131 and Hromkovit, Juraj; et al., 92m:68025 

Karloff, Howard see Lund, Carsten; et al., 92m:68105 

Khruzin, A. N. On the existence of nonrecursive bases in the class of initial Rodding 
automata. (Russian) (see 92d:00009) 

— Problems of realizability and completeness in a class of initial Rodding automata. 
(Russian) 92¢:68136 

Krob, Daniel see Hansel, Georges; et al., (92g:68008) 

Kurta, Eva see Calude, Cristian, 92c:94004 

Lander, Eric see Immerman, Neil, (924:68055) 

Lange, Klaus-Jérn see Buntrock, Gerhard; et al., (92g:68007) and Dassow, Jirgen, 
(92g:68007) 

Lautemann, Clemens see Buntrock, Gerhard; et al., 92k:68025 

Land, Carsten (with Fortnow, Lance; Karloff, Howard; Nisan, Noam) Algebraic methods 
for interactive proof systems. 92m:68105 

Maass, A. Universal cellular automaton simulating any programmable machine. 

(Mac Lane, Saunders) see Bichi, J. Richard, 92b:01080 

Madonia, M. (with Salemi, S.; Sportelli, T.) On z-submonoids and z-codes. (French 
summary) 92i:68112 

Massazza, P. (with Sabadini, Nicoletta) Holonomic generating functions and context free 
languages. 92c:68111 

Mateescu, Alexandru van Wijngaarden grammars and the generative complexity of 
recursively enumerable languages. 92c:68058 

— Special families of matrix languages and decidable problems. 92j:68067 

Michaux, Christian see Hansel, Georges; et al., (92g:68008) 

Monti, A. see Fachini, Emanuela; et al., (92g:68007) 

Moore, Cristopher Generalized one-sided shifts and maps of the interval. 92i:58055 

Mossakowski, T. see Buntrock, Gerhard; et al., 92k:68025 

Motoki, Tatsuya Inductive inference from all positive and some negative data. 





Describing graphs: a first-order approach to graph 





03D05 


Muller, D.E. see Saoudi, A.; et al., 92c:68043 

Mundhenk, Martin (with Schuler, Rainer) Random languages for nonuniform complexity 
classes. 92j:68037 

Napoli, M. see Fachini, Emanuela; et al., (92g:68007) 

Néraud, Jean Elementariness of a finite set of words is co-NP-complete. (French summary) 
92¢:68074 

Nisan, Noam see Lund, Carsten; et al., 92m:68105 

Niwitiski, Damian On the cardinality of sets of infinite trees recognizable by finite automata. 
(see 92g:68008) 

Ochmaiiski, Edward see Diekert, Volker; et al., (92g:68004) 

Orman, Gabriel V. The probability of alternating generation of the words by a formal 
grammar. (Romanian summary) 

Parente, D. see Fachini, Emanuela; et al., (92g:68007) 

Penttonen, Martti see Fariiias del Cerro, Luis, 92i:03015 

Proskurowski, Andrzej see Arnborg, Stefan; et al., (924:68007) 

Ravikumar, Bala see Jiang, Tao', 92k:68079 

Reinhardt, Klaus see Diekert, Volker; et al., (92g:68004) 

Rossmanith, Peter see Buntrock, Gerhard; et al., (92g:68007) 

Rovan, Branislav see Hromkovi¢, Juraj; et al., 92m:68025 

Sabadini, Nicoletta see Massazza, P., 92c:68111 

Salemi, S. see Madonia, M.; et al., 92i:68112 

Salomaa, Kai (with Yu, Sheng) The immortality problem for lag systems. 92g:68074 

— (with Yu, Sheng) Degrees of nondeterminism for pushdown automata. (see 92g:68007) 

— Decidability of confluence and termination of monadic term rewriting systems. 


Saoudi, A. (with Muller, D. E.; Schupp, P. E.) On the complexity of recognizable w-tree sets 
and Nerode theorem. 92c:68043 

— Generalized automata on infinite trees and Muller-McNaughton’s theorem. 92m:68081 

Schuler, Rainer see Mundhenk, Martin, 92j:68037 

Schupp, P. E. see Saoudi, A.; et al., 92¢:68043 

Seese, Detlef see Arnborg, Stefan; et al., (92d:68007) 

(Siefkes, Dirk) see Bichi, J. Richard, 92b:01080 

Sippu, Seppo (with Soisalon-Soininen, Eljas) * Parsing theory. Vol. II. 92a:68083 

Slobodova, Anna see Hromkovit, Juraj; et al., 92m:68025 

Soisalon-Soininen, Eljas see Sippu, Seppo, 92a:68083 

Sportelli, T. see Madonia, M.; et al., 92i1:68112 

Straubing, Howard Automata, logic and computational complexity. 92m:68033 

Tran, Nicholas Q. see Ibarra, Oscar H., (92g:68007) 

Vardi, Moshe Y. Verification of concurrent programs: the automata-theoretic framework. 
92f:68112 

Wechsung, Gerd see Hemachandra, Lane A., 92j:68034 

Yu, Sheng see Salomaa, Kai, 92g:68074 and (92g:68007) 


Items listed otherwise than by author 
Bibliography: 

Bichi, J. Richard see Biichi, J. Richard, 92b:01080 
Biography: 

Bichi, J. Richard see Bichi, J. Richard, 92b:01080 


03D10 Turing machines and related notions [see also 68Q05] 


Anderlini, Laca Some notes on Church’s thesis and the theory of games. 92e:03056 

da Costa, Newton C. A. (with Doria, F. A.) Classical physics and Penrose’s thesis. 
92g:03063 

Doria, F. A. see da Costa, Newton C. A., 92g:03063 

Lemke, Thomas (with Seibt, Heinz) On identities of the generalized Turing algebra. II. 
(German and Russian summaries) 92a:03057 

Seibt, Heinz see Lemke, Thomas, 92a:03057 

Sossai, Claudio An extension of Turing machines. (see 92h:00013) 

Villani, Alessandro (with Villani, Vinicio) Turing machines and their computer simulation. 
(Italian) 

Villani, Vinicio see Villani, Alessandro 


Items with secondary classifications in 03D10 

Bebjak, Andrej (with Stefanekova, Ivana) Separation of deterministic, nondeterministic 
and alternating complexity classes. 92g:68052 

Buntrock, Gerhard (with Jenner, Birgit, Lange, Klaus-Jérn; Rossmanith, Peter) Unambigu- 
ity and fewness for logarithmic space. (see 92g:68007) 

Geffert, Viliam Nondeterministic computations in sublogarithmic space and space 
constructibility. 92f:68051 

Grandjean, Etienne (with Robson, J. M.) RAM with compact memory: a realistic and 
robust model of computation. (see 92d:68007) 

Gurevich, Yuri (with Shelah, Saharon) Nondeterministic linear-time tasks may require 
substantially nonlinear deterministic time in the case of sublinear work space. 924:68054 

Hromkovit, Juraj (with Karhumaki, Juhani; Rovan, Branislav; Slobodova, Anna) On the 
power of synchronization in parallel computations. 92m:68025 

— Reversals—space—parallelism tradeoffs for language recognition. 92f:68039 

Ibarra, Oscar H. (with Tran, Nicholas Q.) On space-bounded synchronized alternating 
Turing machines. (see 92g:68007) 

Jenner, Birgit see Buntrock, Gerhard; et al., (92g:68007) 

Karhumiaki, Juhani see Hromkovit, Juraj; et al., 92m:68025 

Ko, Ker-I On the complexity of learning minimum time-bounded Turing machines. 
92i:68047 

Lange, Klaus-Jérn see Buntrock, Gerhard; et al., (92g:68007) 

Levesque, Hector J. Logic and the complexity of reasoning [MR 89k:68127]. (see 
924:03003) 

Lisovik, L. P. Logical properties of partial continuous functions. (Russian) 92b:03061 

Michaux, Christian Corrigendum: “Ordered rings over which output sets are recursively 
enumerable sets” [Proc. Amer. Math. Soc. 112 (1991), no. 2, 569-575; MR 91i:03073]. 


MATHEMATICAL LOGIC AND FOUNDATIONS 


1992 82 


Michel, Pascal An NP-complete language accepted in linear time by a one-tape Turing 
machine. 92h:03054 

Moshchenskii, V. A. On the theorem on the unboundedness of the complexity of computa- 
tions. (Russian. English summary) 92¢e:03057 

Nasyrov, Il. R. Deterministic realization of nondeterministic computations with a small 
measure of nondeterminism. (Russian. English and Ukrainian summaries) 92h:68029 

Robinson, Raphael M. Minsky’s small universal Turing machine. 92j:68025 

Robson, J. M. see Grandjean, Etienne, (92d:68007) 

Rossmanith, Peter see Buntrock, Gerhard; et al., (92g:68007) 

Rovan, Branislav see Hromkovit, Juraj; et al., 92m:68025 

Shanker, S.G. The dawning of (machine) intelligence. 92a:01013 

Shelah, Saharon see Gurevich, Yuri, 924:68054 

Slobodova, Anna see Hromkovit, Juraj; et al., 92m:68025 

Stefanekova, Ivana see Bebjak, Andrej, 92g:68052 

Szepietowski, Andrzej On space functions constructed by two-dimensional Turing 
machines. 92i:68049 

Tran, Nicholas Q. see Ibarra, Oscar H., (92g:68007) 


03D15 Complexity of computation [see also 68Q15] 


Allen, Bill Arithmetizing uniform NC. 92g:03064 

Allender, Eric (with Wilson, Christopher B.) Downward translations of equality. 92i:03047 

Balcazar, José L. Self-reducibility. 92i:03048 

Beigel, Richard Bi-immunity results for cheatable sets. 92b:03048 

Book, Ronald V. see Tang, Shou Wen, 92f:03039 

Buhrman, Harry (with Homer, Steven; Torenvliet, Leen) Completeness for nondeterminis- 
tic complexity classes. 92j:03038 

Buss, Samuel R. (with Hay, Louise) On truth-table reducibility to SAT. 92c:03043 

Chen, Zhi Xiang (with Huang, Wen Qi) Recursive structure of complexity classes. (Chinese. 
English summary) 92f:03034 

— On splitting of a recursive set with polynomial time minimal pairs. 92d:03027 

Compton, Kevin J. (with Henson, C. Ward) A uniform method for proving lower bounds on 
the computational complexity of logical theories. 92f:03035 

Cucker, Felipe (with Torrecillas, A.) Two P-complete problems in the theory of the reals. 
(see 92g:68004) 

Downey, Rodney On computational complexity and honest polynomial degrees. 92c:03044 

Flogel, Andreas (with Karpinski, Marek; Kleine Biining, Hans) Subclasses of quantified 
Boolean formulas. (see 924:68007) 

Fouks, Jean-Denis Sur le statut logique de l’assertion “co-NP # NP”. (English summary) 
[On the logical status of the “co-NP #4 NP” assertion] 92k:03015 

Goerdt, Andreas (with Seidl, Helmut) Characterizing complexity classes by higher type 
primitive recursive definitions. II. 92f:03036 

— Cutting plane versus Frege proof systems. (see 92d:68007) 

Gradel, Erich The expressive power of second-order Horn logic. 92c:03045 

Hay, Louise see Buss, Samuel R., 92c:03043 

Henson, C. Ward see Compton, Kevin J., 92f:03035 

Homer, Steven see Buhrman, Harry; et al., 92j:03038 

Huang, Wen Qi see Chen, Zhi Xiang; et al., 92f:03034 

Kamper, Jiirgen A result relating disjunctive self-reducibility to P-immunity. 92a:03058 

— Nonuniform proof systems: a new fr k to describe nonuniform and probabilistic 
complexity classes. 92h:03056 

Karpitiski, Marek see Flégel, Andreas; et al., (92d:68007) 

Kleine Biining, Hans see Flogel, Andreas; et al., (92d:68007) 

Ko, Ker-I Separating the low and high hierarchies by oracles. 92k:03016 

Kreitz, Christoph see Weihrauch, Klaus, 92m:03059 

Kurtz, Stuart A. (with Mahaney, Stephen R.; Royer, James S.) The structure of complete 
degrees. (see 92d:68055) 

Lischke, G. New insights to the relationship among some special complexity classes. 
92m:03057 

Longpré, Luc (with Young, Paul R.) Cook reducibility is faster than Karp reducibility in 
NP. 92f:03037 

Lozano, Antoni (with Toran, Jacobo) Self-reducible sets of small density. 92f:03038 

Latz, Jack H. On independent random oracles. 92m:03058 

Mahaney, Stephen R. see Kurtz, Stuart A.; et al., (92d:68055) 

Maté, Attila Nondeterministic polynomial-time computations and models of arithmetic. 
92c:03046 

Michel, Pascal (with Ressayre, Jean-Pierre) * Séminaire de Complexité Algorithmique et 
de Logique. 1986-1987-1988. (French) [Seminar on Algorithmic Complexity and Logic. 
1986-1987-1988] 92a:03059 

Moshchenskii, V. A. On the theorem on the unboundedness of the complexity of computa- 
tions. (Russian. English summary) 92e:03057 

Mourgues, M.-H. (with Ressayre, Jean-Pierre) An application of Mal’cev’s series to 
polynomial time computability. (French. English summary) (see 92g:03005) 

Ressayre, Jean-Pierre see Michel, Pascal, 92a:03059 and Mourgues, M.-H., (92g:03005) 

Royer, James S. see Kurtz, Stuart A.; et al., (92d:68055) 

Seidl, Helmut see Goerdt, Andreas, 92f:03036 

Shinoda, Juichi (with Slaman, Theodore A.) On the theory of the PTIME degrees of the 
recursive sets. 92b:03049 

Slaman, Theodore A. see Shinoda, Juichi, 92b:03049 

Solomon, Martin K. Relativized Gédel speed-up and the degree of succinctness of 
representations. 92h:03057 

Tang, Shou Wen (with Book, Ronald V.) Polynomial-time reducibilities and “almost all” 
oracle sets. 92f:03039 

Toran, Jacobo Complexity classes defined by counting quantifiers. 92h:03058 

— see also Lozano, Antoni, 92f:03038 

Torenvliet, Leen see Buhrman, Harry; et al., 92j:03038 

Torrecillas, A. see Cucker, Felipe, (92g:68004) 

Wang, Jie! On p-creative sets and p-completely creative sets. 92h:03059 

Weihrauch, Klaus (with Kreitz, Christoph) Type 2 computational complexity of functions 
on Cantor’s space. 92m:03059 








83 1992 


Weispfenning, V. The complexity of almost linear Diophantine problems. 92c:03047 
Wilson, Christopher B. see Allender, Eric, 92i:03047 

Young, Paul R. see Longpré, Luc, 92f:03037 

Zimand, Marius Set limited relativization. 92e:03058 


Items listed otherwise than by author 
Seminar: 

Algorithmic Complexity and Logic see Michel, Pascal, 92a:03059 
Items with secondary classifications in 03D15 


Adachi, Akeo see Kasai, Takumi, 92f:68053 
Allender, Eric (with Gore, Vivek) On strong separations from AC° (extended abstract). (see 


92g:68007) 

— (with Gore, Vivek) Rudimentary reductions revisited. 92m:68030 

Apt, Krzysztof R. (with Blair, Howard A.) Arithmetic classification of perfect models of 
stratified programs. 92¢:68017 

Atkinson, M. D. On computing the number of linear extensions of a tree. 92a:68113 

Balcazar, José L. see Gavalda, Ricard, 92g:68053 

Barzdins, Janis see Freivalds, Raisins; et al., 92m:03061 

Bebjak, Andrej (with Stefanekova, Ivana) Separation of deterministic, nondeterministic 
and alternating complexity classes. 92g:68052 

Beigel, Richard (with Hemachandra, Lane A.; Wechsung, Gerd) Probabilistic polynomial 
time is closed under parity reductions. 92a:68051 

— Bounded queries to SAT and the Boolean hierarchy. 92j:68027 

Bellare, Mihir (with Goldreich, Oded; Goldwasser, Shafi) Randomness in interactive 
proofs. 92j:68102 

Berwick, Robert C. Computational complexity theory and natural language: a paradox 
resolved. 92h:03036 

— see also Ristad, Eric Sven, 92a:68123 

Biswas, Somenath see Khadilkar, Sanjeev N., 92f:68054 

Blair, Howard A. see Apt, Krzysztof R., 92e:68017 

Blass, Andreas (with Gurevich, Yuri) On the reduction theory for average case complexity. 
(see 92d:68007) 

Blum, Lenore (with Shub, M.; Smale, Stephen) On a theory of computation over the real 
numbers: NP completeness, recursive functions and universal machines [Bull. Amer. 
Math. Soc. (N.S.) 21 (1989), no. 1, 1-46; MR 90a:68022]. (see 92m:58036) 

Book, Ronald V. What is structural complexity theory? 92a:68052 

— On random oracle separations. 92j:68028 

— Some observations on separating compiexity classes. 92d:68052 

— see also Diekert, Volker, 92h:68047 and Tang, Shou Wen, 92m:03067 

Bruschi, Danilo (with Joseph, Deborah; Young, Paul R.) Strong separations for the Boolean 
hierarchy over RP. 92¢:68055 

Buhrman, Harry (with Spaan, Edith; Torenvliet, Leen) Bounded reductions. 92c:68055 

Buntrock, Gerhard (with Jenner, Birgit; Lange, Klaus-Jérn; Rossmanith, Peter) Unambigu- 
ity and fewness for logarithmic space. (see 92g:68007) 

— (with Drewes, Frank; Lautemann, Clemens; Mossakowski, T.) Some modifications of 
auxiliary pushdown automata. (French summary) 92k:68025 

Burkhard, W. A. see Kroon, Frederick W., 92e:03059 

Buss, Jonathan F. (with Goldsmith, Judy) Nondeterminism within P (extended abstract). 
92c:68056 

Buss, Samuel R. The graph of multiplication is equivalent to counting. 

Calude, Cristian (with Marcus, Solomon) Sudan’s recursive but not primitive recursive 
function: a retrospective look. 92a:03060 

— Relativized topological size of sets of partial recursive functions. 92h:03060 

Cameron, Kathie (with Edmonds, Jack) Existentially polytime theorems. 92i:68043 

Chaitin, G. J. * Information, randomness & incompleteness. 92m:01094 

Chen, Jian-er Characterizing parallel hierarchies by reducibilities. 92i:68044 

— (with Cox, Jim; Mishra, Bhubaneswar) An NL hierarchy. 92j:68029 

Chen, Zhi Xiang (with Huang, Wen Qi) The lattice embeddability of the upper semilattice 
of K-1 degrees of recursive sets. (Chinese. English summary) 92c:03052 

Cho, Sang (with Huynh, Ding T.) Finite-automaton aperiodicity is PSPACE-complete. 
92k:68028 

Clote, Peter ALOGTIME and a conjecture of S. A. Cook (extended abstract). (see 
92b:68007) 

Cohen, Edith (with Tarsi, Michael) NP-completeness of graph decomposition problems. 
92j:68030 

Condon, Anne Space-bounded probabilistic game automata. 92¢:68038 

Cook, Stephen A. Computational complexity of higher type functions. 92j:03041 

Cox, Jim see Chen, Jian-er; et al., 92j:68029 

Dassow, Jiirgen (with Lange, Klaus-Jérn) Computational complexity and hardest languages 
of automata with abstract storages. (see 92g:68007) 

Diekert, Volker (with Ochmatiski, Edward; Reinhardt, Klaus) On confluent semi- 

decidability and complexity results (extended abstract). (see 92g:68004) 

— (with Book, Ronald V.) On “inherently context-sensitive” languages—an application of 
complexity cores. 92h:68047 

Dietzfelbinger, Martin (with Maass, Wolfgang; Schnitger, Georg) The complexity of matrix 
transposition on one-tape off-line Turing machines. 92i:68045 

Dougherty, Randall L. (with Kechris, Alexander S.) The complexity of antidifferentiation. 
92h:03072 

Drewes, Frank see Buntrock, Gerhard; et al., 92k:68025 

Edmonds, Jack see Cameron, Kathie, 92i:68043 

Emerson, E. Allen (with Evangelist, Michael; Srinivasan, Jai) On the limits of efficient 
temporal decidability (extended abstract). (see 92b:68007) 

Eppstein, David (with Hemachandra, Lane A.; Tisdall, James; Yener, Biilent) Simultaneous 
strong separations of probabilistic and unambiguous complexity classes. 92j:68031 

Evangelist, Michael see Emerson, E. Allen; et al., (92b:68007) 

Fagin, Ronald Finite-model theory—a personal perspective. 92b:03039 

Fortnow, Lance see Lund, Carsten; et al., 92m:68105 

Franco, John Elimination of infrequent variables improves average case performance of 
satisfiability algorithms. 92j:68012 





03D Recursion theory 


03D15 


Freivalds, Rosin’ (with Barzdini, Janis; Podnieks, Karlis) Inductive inference of recursive 
functions: complexity bounds. 92m:03061 

Garzon, Max (with Zalcstein, Yechezkel) On isomorphism testing of a class of 2-nilpotent 
groups. 92k:20063 

— (with Zalcstein, Yechezkel) The complexity of Grigorchuk groups with application to 
cryptography. 92):68032 

Gavalda, Ricard (with Balcazar, José L.) Strong and robustly strong polynomial-time 
reducibilities to sparse sets. 92g:68053 

Geffert, Viliam Nondeterministic computations in sublogarithmic space and space 
constructibility. 92f:68051 

Geske, John G. (with Huynh, Ding T.; Seiferas, Joel I.) A note on almost-everywhere- 
complex sets and separating deterministic-time-complexity classes. 92i:68034 

Girault-Beauquier, Daniele (with Nivat, M.; Niwifski, Damian) About the effect of the 
number of successful paths in an infinite tree on the recognizability by a finite automaton 
with Biichi conditions. (see 92g:68007) 

Goldreich, Oded see Bellare, Mihir; et al., 92j:68102 

Goldsmith, Judy see Buss, Jonathan F., 92c:68056 

Goldwasser, Shafi see Bellare, Mihir; et al., 92j:68102 

Gore, Vivek see Allender, Eric, 92m:68030 and (92g:68007) 

Gradel, Erich Satisfiability of formulae with one V is decidable in exponential time. 
92a:03013 

— On the notion of linear time computability. 92a:68053 

Grigorieff, Serge Complexité algorithmique en analyse. [Algorithmic complexity in analysis] 
92h:68033 

Gurevich, Yuri (with Shelah, Sah ) N ministic linear-time tasks may require 
substantially nonlinear deterministic time in the case of sublinear work space. 92d:68054 

— Average case complexity. (see 92g:68004) 

— see also Blass, Andreas, (92d:68007) 

Halpern, Joseph Y. Presburger arithmetic with unary predicates is I} complete. 92k:03026 

Hartmanis, Juris (with Hemachandra, Lane A.) One-way functions and the nonisomor- 
phism of NP-complete sets. 92k:68030 

— see also Stearns, Richard E., (92d:68055) 

Heintz, Jeos (with Roy, Marie-Francoise; Solerné, Pablo) Complexité du principe de 
Tarski-Seidenberg. (English summary) [Complexity of the Tarski-Seidenberg principle] 
92¢:12012 

— (with Roy, Marie-Francoise; Solern6, Pablo) Sur la complexité du principe de Tarski- 
Seidenberg. (English summary) [On the complexity of the Tarski-Seidenberg principle] 
92g:03047 

Hemachandra, Lane A. (with Hoene, Albrecht) Collapsing degrees via strong computation 
(extended abstract). (see 92g:68004) 

— (with Wechsung, Gerd) Kolmogorov charactcrizations of complexity classes. 92j:68034 

— (with Hoene, Albrecht; Siefkes, Dirk; Young, Paul R.) On sets polynomially enumerable 
by iteration. 92j:68035 

— see also Beigel, Richard; et al., 92a:68051; Eppstein, David; et al., 92j:68031 and Hartma- 
nis, Juris, 92k:68030 

Hertrampf, Ulrich Relations among mod-classes. 92¢:68056 

— (with Wagner, Klaus Werner) Interactive proof systems: provers, rounds, and error 
bounds. (see 92d:68007) 

Hoene, Albrecht see Hemachandra, Lane A.; et al., 92j:68035 and (92g:68004) 

Howell, Rodney R. (with Rosier, Louis E.; Yen, Hsu Chun) A taxonomy of fairness and 
temporal logic problems for Petri nets. 92i:68117 

Hromkovit, Juraj Reversals—space—parallelism tradeoffs for language recognition. 
92f:68039 

Huang, Wen Qi see Chen, Zhi Xiang; et al., 92c:03052 

Hunt, H. B., III see Stearns, Richard E., 92c:68059 

Huynh, Ding T. see Geske, John G.; et al., 92i:68034 and Cho, Sang, 92k:68028 

Ibarra, Oscar H. (with Jiang, Tao') Learning regular languages from counterexamples. 
92c:68153 

— (with Tran, Nicholas Q.) On space-bounded synchronized alternating Turing machines. 
(see 92g:68007) 

Immerman, Neil (with Lander, Eric) Describing graphs: a first-order approach to graph 
canonization. (see 92d:68055) 

Jenner, Birgit see Buntrock, Gerhard; et al., (92g:68007) 

Jiang, Tao! (with Ravikumar, Bala) A note on the space complexity of some decision 
problems for finite automata. 92k:68079 

— see also Tharra, Oscar H., 92c:68153 

Joseph, Deborah (with Young, Paul R.) Self-reducibility: effects of internal structure on 
computational complexity. (see 92d:68055) 

— see also Bruschi, Danilo; et al., 92e:68055 

Kannan, Ravi Test sets for integer programs, VJ sentences. 92c:90079 

Kaper, Deepak (with Narendran, Paliath; Rosenkrantz, Daniel J.; Zhang, Hantao) 

Suffic , ground-reducibility and their complexity. 92j:68077 

Karloff, Howard see Lund, Carsten; et al., 92m:68105 

Kasai, Takumi (with Adachi, Akeo) A lower bound analysis for problems in lower 
complexity classes. 92f:68053 

Katz, Shmuel (with Peled, Doron) Interleaving set temporal logic. 92d:03012 

Kechris, Alexander S. see Dougherty, Randall L., 92h:03072 

Kern, Jérg-Detlef The parallel complexity of function approximation. 92k:68037 

Khadilkar, Sanjeev N. (with Biswas, Somenath) Padding, commitment and self- 
reducibility. 92f:68054 

Kirman, V. K. On the realization of functions by one-dimensional stable iterative systems. 
(Russian) 92f:03040 

Knuth, Donald E. Nested satisfiability. 92:68068 

Ko, Ker-I Constructing oracles by lower bound techniques for circuits. 92f:68055 

— On the complexity of learning minimum time-bounded Turing machines. 92i:68047 

Kolaitis, Phokion G. Implicit definability on finite structures and unambiguous computa- 
tions (preliminary report). (see 92b:68007) 

Krajitek, Jan (with Pudlak, Pavel; Takeuti, Gaisi) Bounded arithmetic and the polynomial 
hierarchy. 92f:03068 

Krause, Matthias (with Meinel, Christoph; Waack, Stephan) Separating the eraser Turing 











03D15 


machine classes L., NL,, co-NL, and P,. 92j:68036 

Kreinovich, V. Ya. Space-time isomorphism problem is intractable (NP-hard). 92g:83061 

Krick, Teresa (with Logar, Alessandro) Membership problem, representation problem and 
the computation of the radical for one-dimensional ideals. 92d:13016 

Kroon, Frederick W. (with Burkhard, W. A.) On a complexity-based way of constructiviz- 
ing the recursive functions. 92e:03059 

Labhalla, Salah Complexité du calcul du développement d’un nombre réel en fractions 
continues. (English summary) [Complexity of the calculation of the continued fraction 
expansion of a real number] 92k:03028 

— (with Lombardi, Henri) Représentations des nombres réels par développements en base 
entiére et complexité. (English summary) [Representations of real numbers by expansions 
in an integer basis and complexity] 92m:03097 

Lakshman, Y.N. (with Lazard, Daniel) On the complexity of zero-dimensional algebraic 
systems. 92d:13017 

— Asingle exponential bound on the complexity of computing Grébner bases of zero- 
dimensional ideals. 92d:13018 

Lander, Eric see Immerman, Neil, (92d:68055) 

Lange, Klaus-Jérn see Buntrock, Gerhard; et al., (92g:68007) and Dassow, Jiirgen, 
(92g:68007) 

Lautemann, Clemens see Buntrock, Gerhard; et al., 92k:68025 

Lazard, Daniel see Lakshman, Y. N., 92d:13017 

Leivant, Daniel Computationally based set existence principles. 92c:03061 

Levesque, Hector J. Logic and the complexity of reasoning [MR 89k:68127]. (see 
92d:03003) 

Li, Hong Zhou The polynomial-time hierarchy and oracle set A € PH/poly. 92m:68032 

Li, Ming! (with Vitanyi, Paul M. B.) Applications of Kolmogorov complexity in the theory 
of computation. (see 92d:68055) 

Logar, Alessandro see Krick, Teresa, 92d:13016 

Lombardi, Henri see Labhalla, Salah, 92m:03097 

Luckhardt, H. New formally undecidable propositions: nontrivial lower bounds on proof 
complexity and related theorems. 92i:03061 

Lund, Carsten (with Fortnow, Lance; Karloff, Howard; Nisan, Noam) Algebraic methods 
for interactive proof systems. 92m:68105 

Latz, Jack H. An upward measure separation theorem. 92g:68054 

Maass, Wolfgang sec Dietzfelbinger, Martin; et al., 92i:68045 

Mansour, Yishay (with Schieber, Baruch; Tiwari, Prasoon) A lower bound for integer 
greatest common divisor computations. 92i:68037 

Marcus, Solomon see Calude, Cristian, 92a:03060 

Matiyasevich, Yu. V. The Riemann hypothesis from a logician’s point of view. 92f:11119 

Meer, Klaus Computations over Z and R: a comparison. 92¢:68057 

Megiddo, Nimrod (with Papadimitriou, Christos H.) On total functions, existence theorems 
and computational complexity. 92f:68056 

Meinel, Christoph see Krause, Matthias; et al., 92j:68036 

Mishra, Bhubaneswar see Chen, Jian-er; et al., 92j:68029 

Morgenstern, Jacques Invariant and geometric aspects of algebraic complexity theory. I. 
92g:68063 

Mossakowski, T. see Buntrock, Gerhard; et al., 92k:68025 

Muller, D. E. see Saoudi, A.; et al., 92c:68043 

Mundhenk, Martin (with Schuler, Rainer) Random languages for nonuniform complexity 
classes. 92j:68037 

Narendran, Paliath see Kapur, Deepak; et al., 92j:68077 

Naughton, Jeffrey F. (with Sagiv, Yehoshua) A simple characterization of uniform 
boundedness for a class of recursions. 92a:68040 

Néraud, Jean Elementariness of a finite set of words is co-NP-complete. (French summary) 
92¢:68074 

Nerode, Anil (with Remmel, Jeffrey B.) Polynomially isolated sets. 92c:03055 

Nisan, Noam Pseudorandom bits for constant depth circuits. 92g:68055 

— see also Lund, Carsten; et al., 92m:68105 

Nivat, M. see Girault-Beauquier, Daniele; et al., (92g:68007) 

Niwitiski, Damian see Girault-Beauquier, Daniele; et al., (92g:68007) 

Ochmaziski, Edward see Diekert, Volker; et al., (92g:68004) 

Ogiwara, Mitsunori (with Watanabe, Osamu”) On polynomial-time bounded truth-table 
reducibility of NP sets to sparse sets. 92g:68056 

Papadimitriou, Christos H. see Megiddo, Nimrod, 92f:68056 

Paterson, Michael S. (with Razborov, A. A.) The set of minimal braids is co-NP-complete. 
92h:68041 

Peled, Doron see Katz, Shmuel, 92d:03012 

Petreschi, Rossella (with Simeone, Bruno) Experimental comparison of 2-satisfiability 
algorithms. (French summary) 

Pitowsky, Itamar Correlation polytopes: their geometry and complexity. 92i:52011 

Podnieks, Karlis see Freivalds, Raisins; et al., 92m:03061 

Pudlak, Pavel see Krajitek, Jan; et al., 92f:03068 

Ravikumar, Bala see Jiang, Tao’, 92k:68079 

Razborov, A. A. see Paterson, Michael S., 92h:68041 

Reinhardt, Klaus see Diekert, Volker; et al., (92g:68004) 

Remmel, Jeffrey B. see Nerode, Anil, 92c:03055 

Ristad, Eric Sven (with Berwick, Robert C.) Computational consequences of agreement and 
ambiguity in natural language. 92a:68123 

Rosenkrantz, Daniel J. see Kapur, Deepak; et al., 92j:68077 

Rosier, Louis E. see Howell, Rodney R.; et al., 92i:68117 

Rossmanith, Peter see Buntrock, Gerhard; et al., (92g:68007) 

Roy, Marie-Frangoise see Heintz, Joos; et al., 92c:12012 and 92g:03047 

Sagiv, Yehoshua see Naughton, Jeffrey F., 92a:68040 

Saoudi, A. (with Muller, D. E.; Schupp, P. E.) On the complexity of recognizable w-tree sets 
and Nerode theorem. 92¢:68043 

Sazonov, V. Yu. An equivalence between polynomial constructivity of Markov’s principle 
and the equality P= NP. 92c:03063 

Schieber, Baruch see Mansour, Yishay; et al., 92i:68037 

Schmidt-Schauss, Manfred (with Smolka, Gert) Attributive concept descriptions with 
complements. 92i:68168 


MATHEMATICAL LOGIC AND FOUNDATIONS 


Schnitger, Georg see Dietzfelbinger, Martin; et al., 92i:68045 

Schéning, Uwe The power of counting. (see 924:68055) 

Schuler, Rainer see Mundhenk, Martin, 92j:68037 

Schupp, P. E. see Saoudi, A.; et al., 92¢:68043 

Seiferas, Joel I. see Geske, John G.; et al., 92i:68034 

Selman, Alan L. One-way functions in complexity theory. 92f:68057 

Shamir, Adi IP = PSPACE. 92j:68038 

Shelah, Saharon see Gurevich, Yuri, 92d:68054 

Shub, M. see Blum, Lenore; et al., (92m:58036) 

Siefkes, Dirk see Hemachandra, Lane A.; et al., 92j:68035 

Simeone, Bruno see Petreschi, Rossella 

Smale, Stephen see Blum, Lenore; et al., (92m:58036) 

Smolka, Gert see Schmidt-Schauss, Manfred, 92i:68168 

Solerné, Pablo see Heintz, Joos; et al., 92c:12012 and 92g:03047 

Spaan, Edith Nexttime is not necessary (extended abstract). (see 92b:68021) 

— see also Buhrman, Harry; et al., 92c:68055 

Srinivasan, Jai see Emerson, E. Allen; et al., (92b:68007) 

Stearns, Richard E. Juris Hartmanis: the beginnings of computational complexity. (see 
92d:68055) 

— (with Hunt, H. B., II) Power indices and easier hard problems. 92¢:68059 

Stefanekova, Ivana see Bebjak, Andrej, 92g:68052 

Stewart, Iain A. Comparing the expressibility of two languages formed using NP-complete 
graph operators. 92i:68084 

Straubing, Howard Automata, logic and computational complexity. 92m:68033 

Sturmfels, Bernd Computational algebraic geometry of projective configurations. 
92k:14059 

Szepietowski, Andrzej On space functions constructed by two-dimensional Turing 
machines. 92i:68049 

Takeuti, Gaisi Some relations among systems for bounded arithmetic. 92c:03064 

— see also Krajitek, Jan; et al., 92f:03068 

Tang, Chuan Yi see Wu, L.C. 

Tang, Shou Wen Randomness, tally sets, and complexity classes. 92¢:68058 

— (with Book, Ronald V.) Reducibilities on tally and sparse sets. (French summary) 
92m:03067 

Tarsi, Michael see Cohen, Edith, 92j:68030 

Tisdall, James see Eppstein, David; et al., 92j:68031 

Tiwari, Prasoon see Mansour, Yishay; et al., 92i:68037 

Toda, Seinosuke On polynomial-time truth-table reducibility of intractable sets to p- 
selective sets. 92h:68035 

Torenvliet, Leen see Buhrman, Harry; et al., 92c:68055 

Tran, Nicholas Q. see Ibarra, Oscar H., (92g:68007) 

Triesch, Eberhard A note on a theorem of Blum, Shub, and Smale. 924:68050 

Vitanyi, Paul M. B. see Li, Ming’, (924:68055) 

Vollmer, Heribert The gap-languag: hnique revisited. (see 92d:68007) 

Vorob’ev, N. N., Jr. Deciding the consistency of a system of inequalities that are polynomial 
in the exponential in subexponential time. (Russian. English summary) 92c:68076 

Waack, Stephan On the parallel complexity of linear groups. (French summary) 92m:20025 

— see also Krause, Matthias; et al., 92j:68036 

Wagner, Klaus Werner see Hertrampf, Ulrich, (924:68007) 

Watanabe, Osamu? On one-way functions. 92a:68054 

— On the p-isomorphism conjecture. 92f:68058 

— see also Ogiwara, Mitsunori, 92g:68056 

Wechsung, Gerd see Beigel, Richard; et al., 92a:68051 and Hemachandra, Lane A., 92j:68034 

Welsh, D. J. A. The computational complexity of some classical problems from statistical 
physics. 92¢e:82004 

Wu, L.C. (with Tang, Chuan Yi) Solving the satisfiability problem by using randomized 
approach. 

Yap, Chee-Keng A new lower bound construction for commutative Thue systems with 
applications. 92i:03046 

Yen, Hsu Chun see Howell, Rodney R.; et al., 92i:68117 

Yener, Biilent see Eppstein, David; et al., 92j:68031 

Young, Paul R. see Bruschi, Danilo; et al., 92e:68055; Hemachandra, Lane A.; et al., 
92j:68035 and Joseph, Deborah, (92d:68055) 

Zakrzewski, Marek Introduction to the theory of computational complexity. On the P-NP 
problem. (Polish. English and Russian summaries) 92c:68061 

Zalcstein, Yechezkel see Garzon, Max, 92j:68032 and 92k:20063 

Zhang, Hantao see Kapur, Deepak; et al., 92j:68077 





03D20 Recursive functions and relations, subrecursive hierarchies 


Banerji, Ranan B. Learning theories in a subset of a polyadic logic. (see 92a:68004) 

Barzdins, Janis see Freivalds, Rosins; et al., 92m:03061 

Burkhard, W. A. see Kroon, Frederick W., 92e:03059 

Calude, Cristian (with Marcus, Solomon) Sudan’s recursive but not primitive recursive 
function: a retrospective look. 92a:03060 

— (with Istrate, Gabriel) Determining and stationary sets for some classes of partial 
recursive functions. 92g:03065 

— Relativized topological size of sets of partial recursive functions. 92h:03060 

Cherniavsky, John C. (with Velauthapillai, Mahendran; Statman, Richard) Inductive 
inference: an abstract approach. 92c:03048 

Dégtev, A. N. Recursive-combinatorial properties of subsets of natural numbers. (Russian) 
92g:03066 

Freivalds, Risip’ Inductive inference of recursive functions: qualitative theory. 92m:03060 

— (with Barzdins, Janis; Podnieks, Karlis) Inductive inference of recursive functions: 
complexity bounds. 92m:03061 

Germano, G. M. (with Mazzanti, Stefano) General iteration and unary functions. 
92m:03062 

Greenleaf, Newcomb Algorithmic languages and the computability of functions. (see 
92h:00013) 





85 1992 


Higman, Graham Transversals and conjugacy in the group of recursive permutations. 
92d:03028 

Istrate, Gabriel see Calude, Cristian, 92g:03065 

Jones, James P. Basis for the Kalmar elementary functions. 92k:03017 

Kirman, V. K. On the realization of functions by one-dimensional stable iterative systems. 
(Russian) 92f:03040 

Kroon, Frederick W. (with Burkhard, W. A.) On a complexity-based way of constructiviz- 
ing the recursive functions. 92e:03059 

Levitz, Hilbert (with Nichols, Warren D.; Smith, Robert F.) A macro program for the 
primitive recursive functions. 

Marchenkov, S.S. Simple examples of bases with respect to superposition in the class of 
functions that are elementary in the sense of Kalmar. (Russian) 92c:03049 

— Superposition bases in classes of recursive functions. (Russian) 92h:03061 

Marcus, Solomon see Calude, Cristian, 922:03060 

Mazzanti, Stefano see Germano, G. M., 92m:03062 

Negri, Maurizio Fixed points and diagonal method. 92f:03041 

Nichols, Warren D. see Levitz, Hilbert; et al. 

Podnieks, Karlis see Freivalds, Raisins; et al., 92m:03061 

Polyakov, E. A. A universal partial recursive function. (Russian) 92f:03042 

Santean, Lila A hierarchy of unary primitive recursive string-functions. 92k:03018 

Shapiro, Ehud Inductive inference of theories from facts. (see 92d:03002) 

Smith, Robert F. see Levitz, Hilbert; et al. 

Statman, Richard see Cherniavsky, John C.; et al., 92c:03048 

Velauthapillai, Mahendran see Cherniavsky, John C.; et al., 92c:03048 

Wainer, S.S. Hierarchies of provably computable functions. 92g:03067 

Weyhrauch, Richard The incorrectness of the bisection algorithm. 92h:03062 


Items with secondary classifications in 03D20 

Adleman, Leonard M. (with Blum, Manuel) Inductive inference and unsolvability. 
92g:03070 

Arikawa, Setsuo (with Shinohara, Takeshi; Yamamoto, Akihiro) Inductive inference of 
formal languages by elementary formal systems. (see 92b:68008) 

Beigel, Richard Bounded queries to SAT and the Boolean hierarchy. 92j:68027 

Blum, Manuel see Adleman, Leonard M., 92g:03070 

Chaitin, G. J. * Information, randomness & incompleteness. 92m:01094 

Chen, Zhi Xiang (with Huang, Wen Qi) Recursive structure of complexity classes. (Chinese. 
English summary) 92f:03034 

Daley, Robert Transformation of probabilistic learning strategies into deterministic learning 
strategies. 92m:68096 

Gasarch, William I. (with Smith, Carl H.) Learning via queries. (see 92a:68004) 

— (with Sitaraman, Ramesh K.; Smith, Carl H.; Velauthapillai, Mahendran) Learning 
programs with an easy to calculate set of errors. (see 92a:68004) 

Habart, Karol Bounds in weak truth-table reducibility. 92h:03064 

Huang, Wen Qi see Chen, Zhi Xiang; et al., 92f:03034 

Jacopini, G. (with Sontacchi, G.) Reversible parallel computation: an evolving space- 
model. 92£:68040 

Latkin, E. 1. Polynomial auto-instability. An algebraic approach. (Russian) 92i:68066 

Leivant, Daniel Computationally based set existence principles. 92c:03061 

Mo, Shao Kui Solutions to the Scholz problems. (Chinese) 92f:03023 

Motoki, Tatsuya Inductive inf from all p and some negative data. 

Sattler-Klein, Andrea Divergence phenomena during completion. 92c:68100 

Shanks, Daniel Euclid’s primes. 92f:11013 

Shinohara, Takeshi see Arikawa, Setsuo; et al., (92b:68008) 

Sitaraman, Ramesh K. see Gasarch, William L.; et al., (92a:68004) 

Smith, Carl H. see Gasarch, William I., (92a:68004) and (92a:68004) 

Solomon, Martin K. Relativized Gédel speed-up and the degree of succinctness of 
representations. 92h:03057 

Sontacchi, G. see Jacopini, G., 92f:68040 

Velauthapillai, Mahendran see Gasarch, William L.; et al., (92a:68004) 

Vovk, V.G. Universal forecasting algorithms. 92m:68100 

Yamamoto, Akihiro see Arikawa, Setsuo; et al., (92b:68008) 





03D25 Recursively enumerable sets and degrees 


Cholak, P. (with Downey, Rodney; Stob, M.) Automorphisms of the lattice of recursively 
enumerable sets: promptly simple sets. 92j:03039 

Cooper, S. Barry The density of the low? n-r.e. degrees. 92m:03063 

— A splitting theorem for the n-r.e. degrees. 92i:03049 

Deutsch, Michael Eine Bemerkung zu spektralen Darstellungen von p-stelligen aufzahlbaren 
und koaufzahlbaren Pradikaten durch Ausdriicke aus 3V 3V™(p, 1) und W 3? V(0o, 1). [A 
remark on the spectral representations of p-ary r.e. and co-r.e. predicates by formulas 
from 3V¥3V™(p, 1) and V3? (co, 1)] 92¢:03050 

Ding, De Cheng Nonbranching degrees attainable by quasi-intersection. (Chinese) 
92h:03063 

Downey, Rodney see Cholak, P.; et al., 92j:03039 

Golunkov, Yu. V. (with Savel’ev, A. A.) Systems of algorithmic algebras that preserve ideals 
in the lattice of recursively enumerable sets. (Russian) 92f:03043 

Harrington, Leo (with Soare, Robert I.) Post’s program and incomplete recursively 
enumerable sets. 92k:03019 

Ingrassia, Michael A. (with Lempp, Steffen) Jumps of nontrivial splittings of recursively 
enumerable sets. 92a:03061 

Ishmukhametov, Sh. T. Enumeration of differences of recursively enumerable sets. 
(Russian) 92k:03020 

Jockusch, Carl G., Jr. (with Soare, Robert I.) Degrees of orderings not isomorphic to 
recursive linear orderings. 92c:03051 

Kuéera, Antonin Randomness and generalizations of fixed point free functions. 92e:03060 

Kummer, Martin Walter Some applications of computable one-one numberings. 92d:03029 

Kuz'mina, T. M. Generalized semilattices and m-degrees of index sets. (Russian) 92b:03050 

Lempp, Steffen (with Lerman, Manuel) Priority arguments using iterated trees of strategies. 
924:03030 


03D Recursion theory 


— see also Ingrassia, Michael A., 92a:03061 

Lerman, Manuel see Lempp, Steffen, 924:03030 

Sabirzyanov, A. R. Deficiency sets of recursively enumerable sets and their differences. 
(Russian) 92m:03064 

Savel’ev, A. A. see Golunkov, Yu. V., 92f:03043 

Selivanov, V. L. Index sets of classes of hyperhypersimple sets. (Russian) 92m:03065 

Slaman, Theodore A. The density of infima in the recursively enumerable degrees. 
92e:03061 

Seare, Robert I. see Jockusch, Carl G., Jr., 92c:03051 and Harrington, Leo, 92k:03019 

Stob, M. see Cholak, P.; et al., 92j:03039 


Items with secondary classifications in 03D25 

Arslanov, M. M. On the structure of degrees below 0’. 92g:03068 

Chong, C.T. (with Mourad, K. J.) The degree of a £, cut. 92f:03067 

Deutsch, Michael Weitere Verscharfungen zu den Reduktionstypen V3™ (0, 1), 
3™V33(0, 1), ¥33(0o, 1). [Further sharpenings for the reduction types V3°¥(0, 1), 
3V33(0, 1), V33(co, 1)] 92e:03009 

Hemachandra, Lane A. (with Hoene, Albrecht; Siefkes, Dirk; Young, Paul R.) On sets 
polynomially enumerable by iteration. 92j:68035 

Higman, Graham Transversals and conjugacy in the group of recursive permutations. 
92d:03028 

Hoene, Albrecht see Hemachandra, Lane A.; et al., 92j:68035 

Jockusch, Carl G., Jr. (with Lewis, Alain A.; Remmel, Jeffrey B.) I19-classes and Rado’s 
selection principle. 92h:03067 

Jones, James P. (with Matiyasevich, Yu. V.) Proof of recursive unsolvability of Hilbert’s 
tenth problem. 92i:03050 

Lewis, Alain A. see Jockusch, Carl G., Jr.; et al., 92h:03067 

Lorent-s, Peeter see Uustalu, Tarmo, 92a:03074 

Matiyasevich, Yu. V. see Jones, James P., 92i:03050 

Mourad, K. J. see Chong, C. T., 92f:03067 

Remmel, Jeffrey B. see Jockusch, Cari G., Jr.; et al., 92h:03067 

Rybina, T. V. Undecidability of the theory of the lattice L2,. (Russian) 92b:03051 

Shanks, Daniel Euclid’s primes. 92f:11013 

Siefkes, Dirk see Hemachandra, Lane A.; et al., 92j:68035 

S uga-Rosol , Giovanni * Fixed point constructions in various theories of 
mathematical logic. 92g:03003 

Uustalu, Tarmo (with Lorent-s, Peeter) On some classes of hereditarily ble sets. 
(Russian. English and Estonian summaries) 92a:03074 

Young, Paul R. see Hemachandra, Lane A.,; et al., 92j:68035 








03D30 Other degrees; reducibilities 


Ahmad, Seema Embedding the diamond in the £2 enumeration degrees. 92m:03066 

Arslanov, M. M. On the structure of degrees below 0’. 92g:03068 

Book, Ronald V. see Tang, Shou Wen, 92m:03067 

Chen, Zhi Xiang (with Huang, Wen Qi) The lattice embeddability of the upper semilattice 
of K-1 degrees of recursive sets. (Chinese. English summary) 92c:03052 

Chong, C.T. (with Downey, Rodney) Minimal degrees recursive in 1-generic degrees. 
92:03044 

Copestake, C.S. 1-generic enumeration degrees below 0. 92c:03053 

Dichev, Angel V. Some results on bounded truth-table degrees. 92d:03031 

Downey, Rodney see Chong, C. T., 92f:03044 

Habart, Karol Bounds in weak truth-table reducibility. 92h:03064 

Haught, Christine Ann (with Shore, Richard A.) Undecidability and initial segments of the 
wtt-degrees < 0’. 92e:03062 

Huang, Wen Qi see Chen, Zhi Xiang; et al., 92c:03052 

Kumabe, Masahiro A 1-generic degree which bounds a minimal degree. 92c:03054 

— Relative recursive enumerability of generic degrees. 92g:03069 

Odifreddi, Piergiorgio (with Shore, Richard A.) Global properties of local structures of 
degrees. 92j:03040 

Shore, Richard A. see Haught, Christine Ann, 92e:03062 and Odifreddi, Piergiorgio, 
92j:03040 

Tamme, T. Two incomparable sets that are invariant with respect to the group of auto- 
morphisms of a computational structure. (Russian. English and Estonian summaries) 
924:03032 

Tang, Shou Wen (with Book, Ronald V.) Reducibilities on tally and sparse sets. (French 
summary) 92m:03067 


Items with secondary classifications in 03D30 

Book, Ronald V. see Tang, Shou Wen, 92:03039 

Buhrman, Harry (with Homer, Steven; Torenvliet, Leen) Completeness for nondeterminis- 
tic complexity classes. 92j:03038 

Buss, Samuel R. (with Hay, Louise) On truth-table reducibility to SAT. 92c:03043 

Chong, C.T. (with Mourad, K. J.) The degree of a=, cut. 92f:03067 

Dégtev, A. N. Recursive-combinatorial properties of subsets of natural numbers. (Russian) 
92g:03066 

Downey, Rodney (with Knight, Julia F.) Orderings with ath jump degree 0°). 92e:03063 

Harizanov, Valentina S. Uncountable degree spectra. 92i:03038 

Hay, Louise see Buss, Samuel R., 92c:03043 

Higman, Graham Transversals and conjugacy in the group of recursive permutations. 
92d:03028 

Homer, Steven see Buhrman, Harry; et al., 92j:03038 

Knight, Julia F. see Downey, Rodney, 92¢:03063 

Lempp, Steffen (with Lerman, Manuel) Priority arguments using iterated trees of strategies. 
92d:03030 

Lerman, Manuel see Lempp, Steffen, 92d:03030 

Lozano, Antoni (with Toran, Jacobo) Self-reducible sets of small density. 92f:03038 

Mourad, K. J. see Chong, C. T., 92£:63067 

Shinoda, Juichi (with Slaman, Theodore A.) On the theory of the PTIME degrees of the 
recursive sets. 92b:03049 








03D30 


Slaman, Theodore A. see Shinoda, Juichi, 92b:03049 

Sorbi, Andrea Comparing ITS sets of the Baire space by means of general recursive 
operators. 92m:03069 

Tang, Shou Wen (with Book, Ronald V.) Polynomial-time reducibilities and “almost all” 
oracle sets. 92f:03039 

Toran, Jacobo see Lozano, Antoni, 92f:03038 

Torenvliet, Leen see Buhrman, Harry; et al., 92j:03038 


03D35 Undecidability and degrees of sets of sentences 


Adleman, Leonard M. (with Blum, Manuel) Inductive inference and unsolvability. 
92g:03070 

Blum, Manuel see Adleman, Leonard M., 92g:03070 

Buss, Samuel R. The undecidability of k-provability. 92g:03071 

da Costa, Newton C. A. (with Doria, F. A.) Undecidability and incompleteness in classical 
mechanics. 92h:03065 

Doria, F. A. see da Costa, Newton C. A., 92h:03065 

Graczytiska, Ewa An undecidable problem for regular equations. 

Idziak, Pawel M. Decision problem for finite equivalential algebras. 

Jones, James P. (with Matiyasevich, Yu. V.) Proof of recursive unsolvability of Hilbert’s 
tenth problem. 92i:03050 

Krom, Melven (with Krom, Myren) Recursive solvability of problems with matrices. 
92k:03021 

Krom, Myren see Krom, Melven, 92k:03021 

Matiyasevich, Yu. V. see Jones, James P., 92i:03050 

Rybina, T. V. Undecidability of the theory of the lattice L9,. (Russian) 92b:03051 

Sizyi, S. V. Critical theories of some classes of graphs and unary algebras. (Russian) 
92f:03045 

Spencer, Joel H. Undecidable probabilities. 92d:03033 


Items with secondary classifications in 03D35 

Agnes, Corrado (with Rasetti, Mario G.) Undecidability of the inverse problem for chaotic 
symbolic dynamics. 92h:03066 

Birget, Jean-Camille see Klarner, David A.; et al., 92g:20093 

Cantone, D. (with Cutello, V.; Schwartz, Jacob T.) Decision problems for Tarski and 
Presburger arithmetics extended with sets. (see 92d:68007) 

Chagrov, A. V. Undecidable properties of extensions of provability logic. (Russian) 
92i:03014 

Chong, C.T. (with Downey, Rodney) Minimal degrees recursive in 1-generic degrees. 
921:03044 

Comon, Hubert (with Lugiez, Denis; Schnoebelen, Ph.) A rewrite-based type discipline for a 
subset of computer algebra. 92i:68069 

Cutello, V. see Cantone, D.; et al., (92d:68007) 

Dérre, Jochen (with Rounds, William C.) On subsumption and semiunification in feature 
algebras. (see 92b:68007) 

Dowek, Gilles L’indécidabilité du filtrage du troisi¢me ordre dans les calculs avec types 
dépendants ou constructeurs de types. (English summary) [The undecidability of third- 
order pattern matching in calculi with dependent types or type constructors] 92c:03013 

Downey, Rodney see Chong, C. T., 92f:03044 

Evans, David M. (with Hrushovski, Ehud) Projective planes in algebraically closed fields. 
92a:05031 

Farifias del Cerro, Luis (with Penttonen, Martti) Grammar logics. 92i:03015 

Flégel, Andreas (with Karpifski, Marek; Kleine Biining, Hans) Subclasses of quantified 
Boolean formulas. (see 92d:68007) 

(Gédel, Kurt Friedrich) see Gédel’s theorem in focus, 92c:03007 

Hrushovski, Ehud see Evans, David M., 92a:05031 

Idziak, Pawel M. Elementary theory of free Heyting algebras. 92c:03072 

Karpitiski, Marek see Fligel, Andreas; et al., (92d:68007) 

Klarner, David A. (with Birget, Jean-Camille; Satterfield, Wade) On the undecidability of 
the freeness of integer matrix semigroups. 92g:20093 

Klay, Francis Undecidable properties of syntactic theories. 92c:68168 

Kleine Bining, Hans see Flégel, Andreas; et al., (92d:68007) 

Latch, Dana May The connection between the fundamental groupoid and a unification 
algorithm for syntactil algebras (extended abstract). (French summary) 

Lagiez, Denis see Comon, Hubert; et al., 92i:68069 

Moore, Cristopher Generalized shifts: unpredictability and undecidability in dynamical 
systems. 92c¢:03042 

— Generalized one-sided shifts and maps of the interval. 92i:58055 

Penttonen, Martti see Fariias del Cerro, Luis, 92i:03015 

Pheidas, Thanases Hilbert’s tenth problem for fields of rational functions over finite fields. 
92e:11145 

Pinus, A.G. Calculus with an automorphism quantifier. (Russian) 92a:03056 

Prasad, Kislaya Computability and randomness of Nash equilibrium in infinite games. 
92i:90122 

Prest, Mike Wild representation type and undecidability. 92g:16020 

Rasetti, Mario G. see Agnes, Corrado, 92h:03066 

Rockingham Gill, R. R. * Deducibility and decidability. 92e:03001 

Rounds, William C. see Dorre, Jochen, (92b:68007) 

Satterfield, Wade see Klarner, David A.; et al., 92g:20093 

Schnoebelen, Ph. see Comon, Hubert; et al., 92i:68069 

Schwartz, Jacob T. see Cantone, D.; et al., (92d:68007) 

(Shanker, S.G.) see Gédel’s theorem in focus, 92c:03007 

Smolka, Gert Feature-constraint logics for unification grammars. 92g:68085 

Treinen, Ralf First order data types and first order logic. 92i:68107 

Wang, Hao! * Computation, logic, philosophy. 92j:01074 


Items listed otherwise than by author 
Biography: 

Godel, Kurt Friedrich * Gédel’s theorem in focus. 92c:03007 
Gédel’s theorem in focus * Gédel’s theorem in focus. 92¢:03007 


MATHEMATICAL LOGIC AND FOUNDATIONS 


1992 86 


03D40 Word problems, etc. [see also 06B25, 08A50, 20F10] 


Agnes, Corrado (with Rasetti, Mario G.) Undecidability of the inverse problem for chaotic 
symbolic dynamics. 92h:03066 

Burroni, Albert Higher-dimensional word problem. (see 92g:68005) 

Girault-Beauquier, Daniele An undecidable problem about rational sets and contour words 
of polyominoes. 92f:03046 

Rasetti, Mario G. see Agnes, Corrado, 92h:03066 


Items with secondary classifications in 03D40 

Agnes, Corrado (with Rasetti, Mario G.) Undecidability of the word problem and chaos in 
symbolic dynamics. 92h:58056 

Birget, Jean-Camille see Klarner, David A.; et al., 92g:20093 

Cai, Jin-Yi Computations over infinite groups. (see 92g:68007) 

Czédli, G. On the word problem of lattices with the help of graphs. 92m:06018 

Dehornoy, Patrick Preuve de la conjecture d’irréflexivité pour les structures distributives 
libres. (English summary) [Proof of the irreflexivity conjecture for free distributive 
structures] 92m:08011 

Epstein, D. B. A. (with Holt, D. F.; Rees, S. E.) The use of Knuth-Bendix methods to solve 
the word problem in automatic groups. 92m:68052 

Garzon, Max (with Zalcstein, Yechezkel) On isomorphism testing of a class of 2-nilpotent 
groups. 92k:20063 

— (with Zalcstein, Yechezkel) The complexity of Grigorchuk groups with application to 
cryptography. 92j:68032 

Holt, D. F. see Epstein, D. B. A.; et al., 92m:68052 

Klarner, David A. (with Birget, Jean-Camille; Satterfield, Wade) On the undecidability of 
the freeness of integer matrix semigroups. 92g:20093 

Li, Lian see Li, Yong Li; et al., 92b:68042 

Li, Yong Li (with Zhang, Luo Xin; Li, Lian) Decidability of regular problems for monoids 
presented by Church-Rosser systems. (Chinese. English summary) 92b:68042 

Madonia, M. (with Salemi, S.; Sportelli, T.) On z-submonoids and z-codes. (French 
summary) 92i:68112 

Marché, Claude On ground AC-completion. 92c:68170 

Marker, David Enumerations of Turing ideals with applications. 92c:03039 

Massazza, P. (with Sabadini, Nicoletta) Holonomic generating functions and context free 
languages. 92c:68111 

Mateescu, Alexandru Special families of matrix languages and decidable problems. 
92j:68067 

McCammond, J. The solution to the word problem for the relatively free semigroups 
satisfying T¢ = T¢*? with a > 6. 92f:20060 

Morozov, A.S. Ona problem of Higman. (Russian) 92k:20065 

Néraud, Jean Elementariness of a finite set of words is co-NP-complete. (French summary) 
92¢:68074 

— On the subsets of rank two in a free monoid: a fast decision algorithm (extended abstract). 
(see 92g:68007) 

Paterson, Michael S. (with Razborov, A. A.) The set of minimal braids is co-NP-complete. 
92h:68041 

Perrin, Dominique Equations in words. 92f:68083 

Rasetti, Mario G. see Agnes, Corrado, 92h:58056 

Razborov, A. A. see Paterson, Michael S., 92h:68041 

Rees, S. E. see Epstein, D. B. A.; et al., 92m:68052 

Sabadini, Nicoletta see Massazza, P., 92c:68111 

Salemi, S. see Madonia, M.; et al., 92i:68112 

Salomaa, Kai (with Yu, Sheng) The immortality problem for lag systems. 92g:68074 

Sapir, M. V. Weak word problem for finite semigroups. 92h:20085 

— On the word problem in periodic group varieties. 92c:20063 

Satterfield, Wade see Klarner, David A.; et al., 92g:20093 

Ss uga-Rosol Giovanni * Fixed point constructions in various theories of 
mathematical logic. 92g:03003 

Sportelli, T. see Madonia, M.,; et al., 92i:68112 

Umirbaev, U. U. The word problem for metabelian right-alternative algebras. (Russian) 
92b:17058 

Vazhenin, Yu. M. Critical theories of some classes of nonassociative rings. (Russian) 
92¢:08006 

Waack, Stephan On the parallel complexity of linear groups. (French summary) 92m:20025 

Wrathall, Celia Free partially commutative groups. 92c:20064 

Yu, Sheng see Salomaa, Kai, 92g:68074 

Zalcstein, Yechezkel see Garzon, Max, 92j:68032 and 92k:20063 

Zhang, Luo Xin Conjugacy in special monoids. 92k:20109 

— Ashort proof of a theorem of Adjan. 92k:20110 

— see also Li, Yong Li; et al., 92b:68042 





03D45 Theory of numerations, effectively presented structures 
[see also 03C57] 


Downey, Rodney (with Knight, Julia F.) Orderings with ath jump degree 0). 92e:03063 

Gamova, A. N. z-autonomous numerations. (Russian) 92b:03052 

Jockusch, Carl G., Jr. (with Lewis, Alain A.; Remmel, Jeffrey B.) T1°-classes and Rado’s 
selection principle. 92h:03067 

Khusainov, B. M. Positive enumerated models. (Russian) 92m:03068 

Knight, Julia F. see Downey, Rodney, 92e:03063 

Lewis, Alain A. see Jockusch, Carl G., Jr.; et al., 92h:03067 

Orlicki, Andrzej On lifting of w-operations from the category of sets to the category of 
enumerated sets. 92f:03047 

— On some categories of partial enumerated sets. 92g:03072 

Remmel, Jeffrey B. see Jockusch, Carl G., Jr.; et al., 92h:03067 

Roy, Dev Kumar Effective extensions of partial orders. 92f:03048 


Items with secondary classifications in 03D45 
Barzdins, Janis see Freivalds, Rasins; et al., 92m:03061 





87 1992 


Dekker, J.C. E. Myhill’s theory of combinatorial functions. 92c:05005 

Freivalds, Risin’ Inductive inference of recursive functions: qualitative theory. 92m:03060 

— (with Barzdins, Janis; Podnieks, Karlis) Inductive inference of recursive functions: 
complexity bounds. 92m:03061 

Harizanov, Valentina S. Uncountabie degree spectra. 92i:03038 

Kierstead, H. A. Effective versions of the chain decomposition theorem. (see 92f:01002) 

Lorent-s, Peeter see Uustalu, Tarmo, 92a:03074 

Morozov, A. S. Rigid constructive modules. (Russian) 92a:03050 

Podnieks, Karlis see Freivalds, Raisins; et al., 92m:03061 

Reed, Robert C. A decidable Ehrenfeucht theory with exactly two hyperarithmetic models. 
92g:03057 





uga , Giovanni * Fixed point constructions in various theories of 
mathematical logic. 92g:03003 

Uustalu, Tarmo (with Lorent-s, Peeter) On some classes of hereditarily enumerable sets. 
(Russian. English and Estonian summaries) 92a:03074 


03D50 Recursive equivalence types of sets and structures, isols 


Mikheev, V. L. Ideals in the isols that contain a set of regressive isols. (Russian) 92i:03051 
Nerode, Anil (with Remmel, Jeffrey B.) Polynomially isolated sets. 92c:03055 
Remmel, Jeffrey B. see Nerode, Anil, 92c:03055 


03D55 Hierarchies 


Items with secondary classifications in 03D55 

Beigel, Richard Bounded queries to SAT and the Boolean hierarchy. 92j:68027 

Bruschi, Danilo (with Joseph, Deborah; Young, Paul R.) Strong separations for the Boolean 
hierarchy over RP. 92¢:68055 

Gamova, A. N. 2-autonomous numerations. (Russian) 92b:03052 

Jackson, Stephen Craig (with Mauldin, R. Daniel) Nonuniformization results for the 
projective hierarchy. 92j:03046 

Joseph, Deborah see Bruschi, Danilo; et al., 92¢:68055 

Ko, Ker-I Constructing oracles by lower bound techniques for circuits. 92f:68055 

Mauldin, R. Daniel see Jackson, Stephen Craig, 92j:03046 

Santean, Lila A hierarchy of unary primitive recursive string-functions. 92k:03018 

Sorbi, Andrea Comparing T18 sets of the Baire space by means of general recursive 
operators. 92m:03069 

Young, Paul R. see Bruschi, Danilo; et al., 92¢:68055 

Zaurbekov, S.S. The number of finitely axiomatizable completions. (Russian) 92g:03058 


03D60 Recursion theory on ordinals, admissible sets, etc. 


Sacks, Gerald E. * Higher recursion theory. 92a:03062 
Sutner, Klaus The ordertype of £-r.c. sets. 92e:03064 


Items with secondary classifications in 03D60 
Kechris, Alexander S. Boundedness theorems for dilators and ptykes. 92d:03035 


03D65 Higher-type and set recursion theory 
Cook, Stephen A. Computational complexity of higher type functions. 92j:03041 


Items with secondary classifications in 03D65 

Goerdt, Andreas (with Seidl, Helmut) Characterizing complexity classes by higher type 
primitive recursive definitions. II. 92f:03036 

Longo, Giuseppe! (with Moggi, Eugenio) Constructive natural deduction and its “w-set” 
interpretation. 92j:03004 

McColm, Gregory L. When is arithmetic possible? 92¢:03065 

Moggi, Eugenio see Longo, Giuseppe! , 92j:03004 

Sacks, Gerald E. * Higher recursion theory. 92a:03062 

Seidl, Helmut see Goerdt, Andreas, 92f:03036 


03D70 Inductive definability 
McColm, Gregory L. When is arithmetic possible? 92¢:03065 


Items with secondary classifications in 03D70 

Halinas, Lars Models of partial inductive definitions. (see 92f:68003) 

— Partial inductive definitions. 92k:68060 

Kechris, Alexander S. Boundedness theorems for dilators and ptykes. 92d:03035 

Moschovakis, Yiannis N. A model of concurrency with fair merge and full recursion. 
92k:68062 


03D75 Abstract and axiomatic recursion theory 


Amadio, Roberto M. Recursion over realizability structures. 92¢:03066 

Friedman, Harvey M. (with Mansfield, Richard) Algorithmic procedures. 92j:03042 

Ganov, V. A. Axiomatization of computations with oracles and the continuum hypothesis. 
(Russian) 92g:03073 

Gavrilenko, Yu. V. Primitive recursion on finitely decomposable Cooper algebras. (Russian) 
92:03049 

Heller, Alex An existence theorem for recursion categories. 92e:03067 

Ivanov, Lyubomir Operative vs. combinatory spaces. 92a:03063 

Korovina, M. V. Generalized computability on real functions. (Russian) 92g:03074 

Mansfield, Richard see Friedman, Harvey M., 92j:03042 

Nikolova, S. K. -admissibility in abstract structures of arbitrary power. 92f:03050 

Sorbi, Andrea Comparing IT9 sets of the Baire space by means of general recursive 
operators. 92m:03069 

Soskova, Al. A. Effective abstract structures. 92:03051 


03E Set theory 


Items with secondary classifications in 03D75 

Kreitz, Christoph see Weihrauch, Klaus, 92m:03059 

Kummer, Martin Walter Some applications of computable one-one numberings. 92d:03029 

Mancosu, Paolo Generalizing classical and effective model theory in theories of operations 
and classes. 92g:03056 

Michaux, Christian Corrigendum: “Ordered rings over which output sets are recursively 
enumerable sets” [Proc. Amer. Math. Soc. 112 (1991), no. 2, 569-575; MR 91i:03073}. 

Weihrauch, Klaus (with Kreitz, Christoph) Type 2 computational complexity of functions 
on Cantor’s space. 92m:03059 


03D80 Applications of recursion theory 


Items with secondary classifications in 03D80 

Agnes, Corrado (with Rasetti, Mario G.) Undecidability of the inverse problem for chaotic 
symbolic dynamics. 92h:03066 

— (with Rasetti, Mario G.) Undecidability of the word problem and chaos in symbolic 
dynamics. 92h:58056 

Anderlini, Laca Some notes on Church’s thesis and the theory of games. 92¢:03056 

Blum, Lenore (with Shub, M.; Smale, Stephen) On a theory of computation over the real 
numbers: NP completeness, recursive functions and universal machines [Bull. Amer. 
Math. Soc. (N.S.) 21 (1989), no. 1, 1-46; MR 90a:68022]. (see 92m:58036) 

Cucker, Felipe (with Torrecillas, A.) Two P-complete problems in the theory of the reals. 
(see 92g:68004) 

Fernando, Tim Provably recursive programs and program extraction. (see 92g:68004) 

Friedman, Eric J. Structure and uncomputability in one-dimensional maps. 92k:58135 

Habart, Karol Randomness and Turing reducibility restraints. (see 92d:68007) 

Jacopini, G. (with Sontacchi, G.) Reversible parallel computation: an evolving space- 
model. 92f:68040 

Moschovakis, Yiannis N. A model of concurrency with fair merge and full recursion. 
92k:68062 

Rasetti, Mario G. see Agnes, Corrado, 92h:03066 and 92h:58056 

Shub, M. see Blum, Lenore; et al., (92m:58036) 

Smale, Stephen see Blum, Lenore; et al., (92m:58036) 

Sontacchi, G. see Jacopini, G., 92f:68040 

Torrecillas, A. see Cucker, Felipe, (92g:68004) 

Wang, Jie! On p-creative sets and p-completely creative sets. 92h:03059 

Zarek, Wojciech H. Algorithmic information content, Church-Turing thesis, physical 
entropy, and Maxwell’s demon. (see 92:00011) 


03D99 None of the above, but in this section 


Items with secondary classifications in 03D99 


Biacino, Loredana (with Gerla, Giangiacomo) Fuzzy subsets: a constructive approach. 
92i:03060 
Gerla, Giangiacomo see Biacino, Loredana, 92i:03060 


03Exx Set theory [see also 04-XX] 


Bekkali, M. * Topics in set theory. 92m:03070 
(Todoréevié, Stevo) see Bekkali, M., 92m:03070 


03E05 Combinatorial set theory [see also 04A20] 


Alves, Carlos Serra MA and lattice partitions. 92d:03034 

Balogh, Z. (with Gruenhage, Gary) Ona problem of C. H. Dowker. 92m:03071 

Bartoszyriski, Tomek (with Judah, Haim) Jumping with random reals. 92a:03064 

Baumgartner, James E. On the size of closed unbounded sets. 92m:03072 

Blass, Andreas Groupwise density and related cardinals. 92a:03065 

Brendle, Jérg Cardinal invariants of infinite groups. 92¢:03068 

Burke, Maxim R. Powers of the ideal of Lebesgue measure zero sets. 92j:03043 

Chen, Lian Han GCH + 0, implies the existence of two nonisomorphic complete normal 
ST,+. 92m:03073 

— Two results on Suslin trees. (Chinese. English summary) 

Di Prisco, Carlos Augusto (with Fuller, M.; Henle, James) The normal depth of filters on an 
infinite cardinal. 92a:03066 

Dow, Alan (with Frankiewicz, Ryszard) Remarks on partitioner algebras. 92e:03069 

Frankiewicz, Ryszard see Dow, Alan, 92e:03069 

Fuller, M. see Di Prisco, Carlos Augusto; et al., 92a:03066 

Gruenhage, Gary see Balogh, Z., 92m:03071 

Henle, James see Di Prisco, Carlos Augusto; et al., 922:03066 

Jin, Renling Some independence results related to the Kurepa tree. 92i:03052 

Johnson, Chris A. Some partition relations for ideals on PA. 92h:03068 

Judah, Haim see Bartoszytiski, Tomek, 922:03064 

Just, Winfried A more direct proof of a result of Shelah. 92j:03044 

Kamburelis, Anastasis A new proof of the Gitik-Shelah theorem. 92h:03069 

Kamo, Shizuo Ideals on w which are obtained from Hausdorff-gaps. 92m:03074 

Kanamori, Akihiro Regressive partition relations, n-subtle cardinals, and Borel diagonaliza- 
tion. 92i:03053 

Komjath, Péter A Galvin-Hajnal conjecture on uncountably chromatic graphs. 92h:03070 

— A set mapping with no infinite free subsets. 92i:03054 

Mignone, Robert Closure sets of functions and a hierarchy of filters. 92f:03052 

Omarov, A. I. Saturation conditions for ideals over w. (Russian) 92b:03053 

Scheepers, Marion Concerning n-tactics in the countable-finite game. 92m:03075 

Shelah, Saharon Incompactness for chromatic numbers of graphs. 92j:03045 

— Cardinal arithmetic for skeptics. 92h:03071 

Todoréevié, Stevo Remarks on Martin’s axiom and the continuum hypothesis. 92m:03076 





03E05 


Items with secondary classifications in 03E05 


Andretta, Alessandro Large cardinals and iteration trees of height w. 92i:03057 

Apter, Arthur W. (with Di Prisco, Carlos Augusto; Henle, James; Zwicker, William) Filter 
spaces. II. Limit ultraproducts and iterated embeddings. (Spanish summary) 92a:03069 

Bekkali, M. * Topics in set theory. 92m:03070 

Burke, Maxim R. (with Magidor, Menachem) Shelah’s pcf theory and its applications. 
92£:03053 

Di Prisco, Carlos Augusto Partitions and axioms of set theory. (Spanish) 92g:03078 

— (with Henle, James; Méndez, Gisela) Bases for the closed unbounded filter. (Russian 
summary) 92i:04002 

— see also Apter, Arthur W.; et al., 92a:03069 

Eklof, Paul C. (with Mekler, Alan H.) * Almost free modules. 92e:20001 

Hajnal, Andras (with Nagy, Z.; Soukup, Lajos) On the number of certain subgraphs of 
graphs without large cliques and independent subsets. 92m:05094 

— A remark on the homogeneity of infinite permutation groups. 92b:20002 

— Embedding finite graphs into graphs colored with infinitely many colors. 92j:05126 

Henle, James see Apter, Arthur W.; et al., 92a:03069 and Di Prisco, Carlos Augusto; et al., 
92i:04002 

Hindman, Neil Strongly summable ultrafilters on N and small maximal subgroups of BN. 
92a:54025 

Keremedis, Kyriakos A topological characterization of GCH. 92b:04003 

Laflamme, Claude Zapping small filters. 92¢:03076 

Magidor, Menachem see Burke, Maxim R., 92f:03053 

Mekler, Alan H. see Eklof, Paul C., 92e:20001 

Méndez, Gisela see Di Prisco, Carlos Augusto; et al., 92i:04002 

Milner, Eric C. Dilworth’s decomposition theorem in the infinite case. (see 92f:01002) 

Monk, J. Donald * Cardinal functions on Boolean algebras. 924:06033 

Nagy, Z. see Hajnal, Andras; et al., 92m:05094 

Pawlikowski, Janusz The Hahn-Banach theorem implies the Banach-Tarski paradox. 
92m:03078 

Perron, Daniel Delta systemes dans la hiérarchie projective. (English summary) [Delta 
systems in the projective hierarchy] 92e:03071 

Soukup, Lajos see Hajnal, Andras; et al., 92m:05094 

(Todoréevié, Stevo) see Bekkali, M., 92m:03070 

Velleman, Dan Partitioning pairs of countable sets of ordinals. 92h:04002 

Zakrzewski, Piotr When do equidecomposable sets have equal measures? 92b:28014 

Zhao, Xi Shun q2-Aronszajn trees and Martin’s axiom. (Chinese) 92h:03079 

Zivaljevié, Bosko The structure of graphs all of whose Y-sections are internal sets. 
92j:03059 

Zrotowski, R. Normality and A(x)/.%. 92j:03050 

Zwicker, William see Apter, Arthur W.; et al., 92a:03069 


03E10 Ordinal and cardinal numbers [see also 04A10] 


Burke, Maxim R. (with Magidor, Menachem) Shelah’s pcf theory and its applications. 
92:03053 


Magidor, Menachem see Burke, Maxim R., 92f:03053 


Items with secondary classifications in 03E10 


Barbanel, Julius B. Almost hugeness and a related notion. 92j:03048 

Burke, Maxim R. Powers of the ideal of Lebesgue measure zero sets. 92j:03043 

Gauthier, Henri Simplification pour les produits lexicographiques d’ordres totaux. 
[Simplication for lexicographic products of total orderings] 92b:03046 

Gitik, Moti The strength of the failure of the singular cardinal hypothesis. 92f:03060 

Jech, Thomas On the cofinality of countable products of cardinal numbers. 92m:03083 

Monk, J. Donald * Cardinal functions on Boolean algebras. 924:06033 

Shannon, Gary P. A note on some weak forms of the axiom of choice. 92m:03080 

Shelah, Saharon Cardinal arithmetic for skeptics. 92h:03071 

Smullyan, Raymond M. Some new double induction and superinduction principles. 
924:04001 

Velleman, Dan Partitioning pairs of countable sets of ordinals. 92h:04002 


03E15 Descriptive set theory [see also 04A15, 28A05, 54H05] 


Dougherty, Randall L. (with Kechris, Alexander S.) The complexity of antidifferentiation. 
92h:03072 

Jackson, Stephen Craig (with Mauldin, R. Daniel) Nonuniformization results for the 
projective hierarchy. 92j:03046 

Kanovei, V.G. On the cardinality of the set of Vitali equivalence classes. (Russian) 
92h:03073 

Kechris, Alexander S. Boundedness theorems for dilators and ptykes. 92d:03035 

— (with Woodin, W. Hugh) A strong boundedness theorem for dilators. 92d:03036 

— see also Dougherty, Randall L., 92h:03072 

Kholshchevnikova, N. N. On concentrated sets and N-sets. 92f:03054 

Krawczyk, Adam (with Srebrny, Marian) Measurability and the Baire property at higher 
levels. 92c:03056 

Kuznetsov, Vladimir Alfeevich Classical descriptive set theory from the point of view of the 
Gentzen-type formal system G*. (Russian) 92c:03057 

Martin, Donald A. An extension of Borel determinacy. 92e:03070 

Mauldin, R. Daniel see Jackson, Stephen Craig, 92j:03046 

Perron, Daniel Delta systémes dans la hiérarchie projective. (English summary) [Delta 
systems in the projective hierarchy] 92e:03071 

Srebrny, Marian see Krawczyk, Adam, 92c:03056 

Vaananen, Jouko A Cantor-Bendixson theorem for the space w/'. 92h:03074 

Veldman, Wim A survey of intuitionistic descriptive set theory. 92e:03072 

Woodin, W. Hugh see Kechris, Alexander S., 924:03036 

Zivaljevi¢é, Bosko Some results about Borel sets in descriptive set theory of hyperfinite sets. 
92g:03075 


MATHEMATICAL LOGIC AND FOUNDATIONS 


Items with secondary classifications in 03E15 

Baumgartner, James E. (with Frankiewicz, Ryszard; Zbierski, P.) Embedding of Boolean 
algebras in P(w)/fin. 92¢:03075 

Bekkali, M. * Topics in set theory. 92m:03070 

Brendle, Jérg Larger cardinals in Cichon’s diagram. 92i:03055 

Dehornoy, Patrick A coding of the countable linear orderings. 92h:04001 

Foreman, Matthew (with Wehrung, Friedrich) The Hahn-Banach theorem implies the 
existence of a non-Lebesgue measurable set. 92m:03077 

Frankiewicz, Ryszard see Baumgartner, James E.; et al., 92e:03075 

Fremlin, D. H. Families of compact sets and Tukey’s ordering. 92c:54032 

Jackson, Stephen Craig Admissible Suslin cardinals in L(R). 92m:03088 

Kechris, Alexander S. (with Louveau, Alain) Covering theorems for uniqueness and 
extended uniqueness sets. 924:43006 

Kharazishvili, A. B. On the existence of sets that do not possess the Baire property. (Russian. 
English and Georgian summaries) 92i:54038 

Linton, Tom Countable structures, Ehrenfeucht strategies, and Wadge reductions. 
92m:03042 

Louveau, Alain see Kechris, Alexander S., 92d:43006 

Maitra, Ashok (with Purves, R.; Sudderth, W.) A Borel measurable version of Kénig’s 
lemma for random paths. 92g:60059 

Miller, Arnold W. Projective subsets of separable metric spaces. 92f:54038 

Purves, R. see Maitra, Ashok; et al., 92g:60059 

Repicky, Miroslav Additivity of porous sets. 92a:26011 

Saint-Raymond, Jean Classification de Wadge. [The Wadge classification] 92j:54052 

Shelah, Saharon (with Woodin, W. Hugh) Large cardinals imply that every reasonably 
definable set of reals is Lebesgue measurable. 92m:03087 

Sudderth, W. see Maitra, Ashok; et al., 92g:60059 

(Todoréevi¢é, Stevo) see Bekkali, M., 92m:03070 

Wehrung, Friedrich see Foreman, Matthew, 92m:03077 

Woodin, W. Hugh see Shelah, Saharon, 92m:03087 

Zbierski, P. see Baumgartner, James E.; et al., 92e:03075 

Zivaljevi¢é, Bosko U-meager sets when the cofinality and the coinitiality of U are uncount- 
able. 92k:03033 


03E20 Other classical set theory 


Items with secondary classifications in 03E20 

Joyal, André (with Moerdijk, Ieke) A categorical theory of cumulative hierarchies of sets. 
92¢:18002 

Moerdijk, Ieke see Joyal, André, 92c:18002 

Smullyan, Raymond M. Some new double induction and superinduction principles. 
92d:04001 


03E25 Axiom of choice and related propositions [see also 04A25] 


Foreman, Matthew (with Wehrung, Friedrich) The Hahn-Banach theorem implies the 
existence of a non-Lebesgue measurable set. 92m:03077 

Kolany, Adam Equivalents of the compactness theorem for locally finite sets of sentences. 

Malitz, Jerome (with Mycielski, Jan; Reinhardt, William N.) The axiom of choice, the 
Léwenheim-Skolem theorem and Borel models. 92m:03079a 

— (with Mycielski, Jan; Reinhardt, William N.) Erratum to the paper: “The axiom of 
choice, the Léwenheim-Skolem theorem and Borel models”. 92m:03079b 

Morillon, Marianne Ensembles totalement ordonnés et axiomes de choix. [Totally ordered 
sets and axioms of choice] 92c:03058 

Mycielski, Jan see Malitz, Jerome; et al., 92m:03079a and 92m:03079b 

Pawlikowski, Janusz The Hahn-Banach theorem implies the Banach-Tarski paradox. 
92m:03078 

Reinhardt, William N. see Malitz, Jerome; et al., 92m:03079a and 92m:03079b 

Shannon, Gary P. A note on some weak forms of the axiom of choice. 92m:03080 

Wehrung, Friedrich see Foreman, Matthew, 92m:03077 


Items with secondary classifications in 03E25 

Apter, Arthur W. Some new upper bounds in consistency strength for certain choiceless 
large cardinal patterns. 92m:03082 

Gluschankof, Daniel (with Tilli, Miguel) On some extension theorems in functional 
analysis and the theory of Boolean algebras. 92f:46001 

— (with Tilli, Miguel) Measure and representation. (Spanish) 92k:28035 

— Prime ideal and Sikorski extension theorems for some /-groups. 92b:06039 

Schlitt, Greg M. The Lindeléf Tychonoff theorem and choice principles. 92b:03056 

Spector, Mitchell Extended ultrapowers and the Vopénka-Hrbatek theorem without choice. 
92h:03082 

Tilli, Miguel see Gluschankof, Daniel, 92f:46001 and 92k:28035 

Vdovin, A.M. Foundations of a new axiomatic set theory. (Russian) 92c:03060 

Zhao, Xi Shun The axiom of choice in the model C. (Chinese) 


03E30 Axiomatics of classical set theory and its fragments 


Alarcén Athens, Winston Finiteness as a basic idea in the concept of number. (Spanish) (see 
92e:00013) 

Forti, Marco (with Honsell, Furio) Models of self-descriptive set theories. 92g:03076 

Gonzalez, Carlos G. The union axiom in Zermelo set theory. 92¢:03073 

— A note on Zermelo set theory. 

Honsell, Furio see Forti, Marco, 92g:03076 

Kim, Sang Mun? The consistency and conservative extension problem for the imp 
extension of VBG: modifications of ZF equiconsistent with Z! . 92¢:03059 

Nudel‘man, A.S. A refinement of G. Cantor’s “naive” set theory. (Russian) 92m:03081 

Pollard, Stephen More axioms for the set-th ic hi hy. 92¢e:03074 











89 1992 


Tetruashvili, M. R. The decision complexity of the class of formulas of quantifier-free 
set theory with the power set operator. (Russian. English and Georgian summaries) 
92£:03055 

Vdovin, A.M. Foundations of a new axiomatic set theory. (Russian) 92c:03060 

Zhang, Jin Wen An w-hierarchy of axiom system ZF. 92a:03067 


Items with secondary classifications in 03E30 

Abian, Alexander (with Amin, Wael A.) The cardinality of powersets in finite models of the 
powerset axiom. 92h:03050 

Amin, Wael A. see Abian, Alexander, 92h:03050 

Bernays, Paul * Axiomatic set theory. 92a:04001 

Cantone, D. Decision procedures for elementary sublanguages of set theory. X. Multilevel 
syllogistic extended by the singleton and powerset operators. 92j:03005 

— (with Schwartz, Jacob T.) Decision procedures for elementary sublanguages of set theory. 
XI. Multilevel syllogistic extended by some elementary map constructs. 92j:03006 

Ferro, Alfredo Decision procedures for elementary sublanguages of set theory. XII. 
Multilevel syllogistic extended with singleton and choice operators. 92j:03007 

Forster, Thomas Permutations and stratified formulae—a preservation theorem. 92a:03070 

(Fraenkel, Abraham A.) see Bernays, Paul, 92a:04001 

Parlamento, Franco (with Policriti, Alberto) Decision procedures for elementary sublan- 
guages of set theory. XIII. Model graphs, reflection and decidability. 92j:03008 

Policriti, Alberto see Parlamento, Franco, 92j:03008 

Quaife, Art Automated deduction in von Neumann-Bernays-Gédel set theory. 92m:03013 

Rathjen, Michael Proof-theoretic analysis of KPM. 92a:03073 

Schwartz, Jacob T. see Cantone, D., 92j:03006 


03E35 Consistency and independence results 


Apter, Arthur W. Some new upper bounds in consistency strength for certain choiceless 
large cardinal patterns. 92m:03082 

Baumgartner, James E. (with Frankiewicz, Ryszard; Zbierski, P.) Embedding of Boolean 
algebras in P(w)/fin. 92e:03075 

Beaudoin, Robert E. The proper forcing axiom and stationary set reflection. 92b:03054 

Brendle, Jérg Larger cardinals in Cichoni’s diagram. 92i:03055 

Burke, Maxim R. (with Just, Winfried) Liftings for Haar measure on {0,1}*. 92h:03075 

James A model in which GCH holds at successors but fails at limits. 92h:03076 

Eklof, Paul C. (with Shelah, Saharon) On Whitehead modules. 92h:03077 

Frankiewicz, Ryszard (with Zbierski, P.) On partitioner-representability of Boolean 
algebras. 92b:03055 

— see also Baumgartner, James E.; et al., 92e:03075 

Jech, Thomas On the cofinality of countable products of cardinal numbers. 92m:03083 

Jensen, R. B. (with Schlechta, Karl) Results on the generic Kurepa hypothesis. 92d:03037 

Just, Winfried (with Koszmider, Piotr) Remarks on confinalities and homomorphism types 
of Boolean algebras. 92d:03038 

— A modification of Shelah’s oracle-c.c. with applications. 92j:03047 

— see also Burke, Maxim R., 92h:03075 

Koszmider, Piotr see Just, Winfried, 92d:03038 

Laflamme, Claude Zapping small filters. 92e:03076 

— Equivalence of families of functions on the natural numbers. 92f:03056 

Martinez, Juan Carlos A consistency result on thin-tall superatomic Boolean algebras. 
92i:03056 

Schlechta, Karl see Jensen, R. B., 92d:03037 

Schlitt, Greg M. The Lindeléf Tychonoff theorem and choice principles. 92b:03056 

Shelah, Saharon see Eklof, Paul C., 92h:03077 

Soukup, Lajos On c*-chromatic graphs with small bounded subgraphs. 92a:03068 

— On w*-saturated families. 92m:03084 

Sureson, Claude About Prikry generic extensions. 92f:03057 

Triifaj, Jan Nonperfect rings and a theorem of Eklof and Shelah. 92h:03078 

Zbierski, P. see Frankiewicz, Ryszard, 92b:03055 and Baumgartner, James E.; et al., 
92e:03075 

Zhao, Xi Shun w>-Aronszajn trees and Martin’s axiom. (Chinese) 92h:03079 


Items with secondary classifications in 03E35 


Balogh, Z. (with Gruenhage, Gary) On a problem of C. H. Dowker. 92m:03071 

Barua, Rana On the Borel hierarchies of countable products of Polish spaces. 92d:54050 

Brendle, Jorg Cardinal invariants of infinite groups. 92¢e:03068 

Burke, Maxim R. Powers of the ideal of Lebesgue measure zero sets. 92j:03043 

Chen, Lian Han GCH + 0, implies the existence of two nonisomorphic complete normal 
ST,+. 92m:03073 

— Two results on Suslin trees. (Chinese. English summary) 

van Douwen, Eric K. On question Q47. 92d:06032 

Eklof, Paul C. A transfer theorem for nonstandard uniserials. 92f:13027 

Fleissner, William G. Normal measure axiom and Balogh’s theorems. 92f:54020 

Gonzalez, Carlos G. The union axiom in Zermelo set theory. 92¢:03073 

Gruenhage, Gary see Balogh, Z., 92m:03071 

Hajnal, Andras (with Nagy, Z.; Soukup, Lajos) On the number of certain subgraphs of 
graphs without large cliques and independent subsets. 92m:05094 

— (with Komjath, Péter) Corrigendum to: “Embedding graphs into colored graphs” [Trans. 
Amer. Math. Soc. 307 (1988), no. 1, 395-409; MR 89¢:05145]. 92m:05136 

Jin, Renling Some independence results related to the Kurepa tree. 92i:03052 

Juhasz, I. On a problem of van Douwen. 92e:54003 

Just, Winfried Repercussions of a problem of Erdés and Ulam on density ideals. 92f:03061 

Kanamori, Akihiro Regressive partition relations, n-subtle cardinals, and Borel diagonaliza- 
tion. 92i:03053 

Kanovei, V.G. On the cardinality of the set of Vitali equivalence classes. (Russian) 
92h:03073 

Kholshchevnikova, N. N. On concentrated sets and N-sets. 92f:03054 

Komjath, Péter A Galvin-Hajnal conjecture on uncountably chromatic graphs. 92h:03070 

— see also Hajnal, Andras, 92m:05136 


03E Set theory 


03E47 


Krawczyk, Adam (with Srebrny, Marian) Measurability and the Baire property at higher 
levels. 92¢:03056 

Lascar, Daniel Autour de la propriété du petit indice. (English summary) [About the small- 
index property] 92f:03029 

Lempert, Laszlé (with Rubel, Lee A.) An independence result in several complex variables. 
92¢:32016 

Miller, Arnold W. Projective subsets of separable metric spaces. 92f:54038 

Mitchell, William John On the singular cardinal hypothesis. 92e:03081 

Nagy, Z. see Hajnal, Andras; et al., 92m:05094 

Richter, Peter H. W. On the separability of Hilbert spaces L?,([0, 1], 5;4). (German 
summary) 92h:46051 

Rubel, Lee A. see Lempert, Laszl6, 92c:32016 

Scheepers, Marion A partition relation for partially ordered sets. 92f:04004 

— Concerning n-tactics in the countable-finite game. 92m:03075 

Seymour, P. D. (with Thomas, Robin) An end-faithful spanning tree counterexample. 
92c:05050 


Sgall, Jiti Forcing in the alternative set theory. I. 92m:03089a 

— (with Sochor, Antonin) Forcing in the alternative set theory. II. 92m:03089b 
Shelah, Saharon Incompactness for chromatic numbers of graphs. 92j:03045 
— Cardinal arithmetic for skeptics. 92h:03071 

Sochor, Antonin see Sgall, Jiti, 92m:03089b 

Soukup, Lajos see Hajnal, Andras; et al., 92m:05094 

Srebrny, Marian see Krawczyk, Adam, 92c:03056 

Thomas, Robin see Seymour, P. D., 92c:05050 

Triifaj, Jan von Neumann regular rings and the Whitehead property of modules. 92c:16009 
Viaaninen, Jouko A Cantor-Bendixson theorem for the space or". 92h:03074 
Velitkovié, Boban CCC posets of perfect trees. 92k:03023 

Watson, W. Stephen Comments on separation. 92d:54024 

Zhu, Jian Ping The generalizations of first countable spaces. 92i:54007 


03E40 Other aspects of forcing and Boolean-valued models 


Bukovsky, Lev (with Coplakova-Hartova, Eva) Minimal collapsing extensions of models of 
ZFC. 92¢:03077 

Coplakova-Hartova, Eva see Bukovsky, Lev, 92e:03077 

Dahan, Bernd I. Boolean valued models and incomplete specifications. 92k:03022 

Li, Na Boolean-valued models of GB. (Chinese) 

— The Boolean-valued model of the axiom system of GB. 92m:03085 

Nishimura, Hirokazu On the absoluteness of types in Boolean valued lattices. 92f:03058 

Parmenter, M. M. (with Schmeri, James H.; Spiegel, Eugene) Isomorphic incidence 
algebras. 92e:03078 

Repicky, Miroslav Properties of forcing preserved by finite support iterations. 92h:03080 

Schmerl, James H. see Parmenter, M. M.; et al., 92e:03078 

Spiegel, Eugene see Parmenter, M. M.; et al., 92¢e:03078 


Items with secondary classifications in 03E40 

Barbanel, Julius B. Making the hugeness of x resurrectable after x-directed closed forcing. 
92d:03039 

Bartoszytiski, Tomek (with Judah, Haim) Jumping with random reals. 92a:03064 

Bekkali, M. * Topics in set theory. 92m:03070 

Drossos, C. A. (with Markakis, G.) Boolean fuzzy sets. 92m:03090 

Jansana, Ramén On the mathematical content of the theory of classes KM. 92¢:03083 

Judah, Haim see Bartoszytiski, Tomek, 922:03064 

Kusraev, A. G. On the structure of vector measures and complete Boolean algebras. 
(Russian) 92k:28020 

Lyubetskii, V. A. On some applications of Heyting-valued analysis. II. 92m:03055 

Markakis, G. see Drossos, C. A., 92m:03090 

Nishimura, Hirokazu Some connections between Boolean valued analysis and topological 
reduction theory for C*-algebras. 92a:46066 

Ozawa, Masanao Boolean valued interpretation of Banach space theory and module 
structures of von Neumann algebras. 92b:46095 

Sgall, Jiti Forcing in the alternative set theory. 1. 92m:03089a 

— (with Sochor, Antonin) Forcing in the alternative set theory. II. 92m:03089b 

Sochor, Antonin see Sgall, Jiti, 92m:03089b 

Spector, Mitchell Extended ultrapowers and the Vopénka-Hrbaéek theorem without choice. 
92h:03082 

Sureson, Claude About Prikry generic extensions. 92f:03057 

(Todoréevié, Stevo) see Bekkali, M., 92m:03070 


03E45 Constructibility, ordinal definability, and related notions 


Items with secondary classifications in 03E45 

Jensen, R. B. (with Schlechta, Karl) Results on the generic Kurepa hypothesis. 924:03037 

Schlechta, Karl see Jensen, R. B., 92d:03037 

Schlingmann, Dirk R. H. Ramsey cardinals, a-Erdés cardinals, and the core model. 
92h:03081 

Sgall, Jiti Forcing in the alternative set theory. I. 92m:03089a 

— (with Sochor, Antonin) Forcing in the alternative set theory. II. 92m:03089b 

Shelah, Saharon Incompactness for chromatic numbers of graphs. 92j:03045 

Sochor, Antonin see Sgall, Jiti, 92m:03089b 

Spector, Mitchell Extended ultrapowers and the Vopénka-Hrbatek theorem without choice. 
92h:03082 

Zhao, Xi Shun The axiom of choice in the model C. (Chinese) 


03E47 Other notions of set-theoretic definability 
Habart, Karol On absoluteness. 92¢:03079 








03E50 


03E50 Continuum hypothesis and Martin’s axiom 
[see also 04A30, 54A25] 


Foreman, Matthew Locally finite groups of permutations of N acting on /©. 92g:03077 

Keremedis, Kyriakos (with Sanderson, D. E.) A version of the topological form of GMA 
(@-centered). 92e:03080 

Sanderson, D. E. see Keremedis, Kyriakos, 92e:03080 

Simms, John C. Why the continuum hypothesis is false. 92m:03086 

Velitkovi¢, Boban CCC posets of perfect trees. 92k:03023 


Items with secondary classifications in 03E50 


Alves, Carlos Serra MA and lattice partitions. 92d:03034 

Bagemihl, Frederick Independent sets and second category. 92¢:04001 

Balcar, Bohuslav (with Simon, Petr) On minimal z-character of points in extremally 
disconnected compact spaces. 92j:03055 

Baldwin, Stewart Martin’s axiom implies a stronger version of Blumberg’s theorem. 
92b:26005 

— Possible point-open types of subsets of the reals. 92b:54007 

Chen, Lian Han GCH + 0, implies the existence of two nonisomorphic complete normal 
ST,+. 92m:03073 

Cummings, James A model in which GCH holds at successors but fails at limits. 92h:03076 

Frankiewicz, Ryszard (with Zbierski, P.) On partitioner-representability of Boolean 
algebras. 92b:03055 

Just, Winfried (with Koszmider, Piotr) Remarks on confinalities and homomorphism types 
of Boolean algebras. 92d:03038 

Keremedis, Kyriakos A topological characterization of GCH. 92b:04003 

Kholshchevnikova, N. N. Representation of some functions under the assumption of 
Martin’s axiom. (Russian) 92f:26005 

Koszmider, Piotr see Just, Winfried, 92d:03038 

Malykhin, V. I. The sequentiality and the Fréchet-Urysohn property with respect to 
ultrafilters. 92h:54006 

Mitchell, William John On the singular cardinal hypothesis. 92e:03081 

Simms, John C. Sierpitiski’s theorem. 92j:01052 

Simon, Petr see Balcar, Bohuslav, 92j:03055 

Soukup, Lajos On c+-chromatic graphs with small bounded subgraphs. 92a:03068 

Szalkai, I. On a problem of R. Péschel on locally invertible monoids. 92i:20069 

Todoréevié, Stevo Remarks on Martin’s axiom and the continuum hypothesis. 92m:03076 

Vaaninen, Jouko A Cantor-Bendixson theorem for the space w!'. 92h:03074 

Zhbierski, P. see Frankiewicz, Ryszard, 92b:03055 

Zhao, Xi Shun w -Aronszajn trees and Martin’s axiom. (Chinese) 92h:03079 


03E55 Large cardinals 


Andretta, Alessandro Large cardinals and iteration trees of height w. 92i:03057 

Apter, Arthur W. (with Di Prisco, Carlos Augusto; Henle, James; Zwicker, William) Filter 
spaces. II. Limit ultraproducts and iterated embeddings. (Spanish summary) 92a:03069 

Badenhorst, G. D. (with Sturm, Teo) An order- and graph-theoretical characterisation of 
weakly compact cardinals. 92f:03059 

Barbanel, Julius B. Making the hugeness of x resurrectable after x-directed closed forcing. 
92d:03039 

— Almost hugeness and a related notion. 92j:03048 

Di Prisco, Carlos Augusto Partitions and axioms of set theory. (Spanish) 92g:03078 

— see also Apter, Arthur W.; et al., 92a:03069 

Gitik, Moti The strength of the failure of the singular cardinal hypothesis. 92f:03060 

Hauser, Kai Indescribable cardinals and elementary embeddings. 92j:03049 

Henle, James see Apter, Arthur W.; et al., 92a:03069 

Mitchell, William John On the singular cardinal hypothesis. 92e:03081 

Schlingmann, Dirk R.H. Ramsey cardinals, a-Erdés cardinals, and the core model. 
92h:03081 

Shelah, Saharon (with Woodin, W. Hugh) Large cardinals imply that every reasonably 
definable set of reals is Lebesgue measurable. 92m:03087 

Spector, Mitchell Extended ultrapowers and the Vopénka-Hrbatek theorem without choice. 
92h:03082 

Sturm, Teo see Badenhorst, G. D., 92f:03059 

Woodin, W. Hugh see Shelah, Saharon, 92m:03087 

Zrotowski, R. Normality and A(x)/7 . 92j:03050 

Zwicker, William see Apter, Arthur W.; et al., 92a:03069 


Items with secondary classifications in 03E55 

Apter, Arthur W. Some new upper bounds in consistency strength for certain choiceless 
large cardinal patterns. 92m:03082 

Baumgartner, James E. On the size of closed unbounded sets. 92m:03072 

Bekkali, M. * Topics in set theory. 92m:03070 

Cummings, James A model in which GCH holds at successors but fails at limits. 92h:03076 

Fleissner, William G. Normal measure axiom and Balogh’s theorems. 92f:54020 

Jech, Thomas On the cofinality of countable products of cardinal numbers. 92m:03083 

Jensen, R. B. (with Schiechta, Karl) Results on the generic Kurepa hypothesis. 92d4:03037 

Kanamori, Akihiro Regressive partition relations, n-subtle cardinals, and Borel diagonaliza- 
tion. 92i:03053 _ 

Komjath, Péter A Galvin-Hajnal conjecture on uncountably chromatic graphs. 92h:03070 

Makkai, Michael see Shelah, Saharon, 92a:03054 

Martin, Donald A. An extension of Borel determinacy. 92¢:03070 

Schlechta, Karl see Jensen, R. B., 924:03037 

Shelah, Saharon (with Makkai, Michael) Categoricity of theories in L,,,, with x a compact 
cardinal. 92a:03054 

Sureson, Claude About Prikry generic extensions. 92f:03057 

(Todoréevi¢, Stevo) see Bekkali, M., 92m:03070 

Zindulka, Ondfej A note on the Ramsey-type theorem of Erdés. 92b:04002 


MATHEMATICAL LOGIC AND FOUNDATIONS 


1992 90 


03E60 Determinacy and related principles which contradict the 
axiom of choice 


Jackson, Stephen Craig Admissible Suslin cardinals in L(R). 92m:03088 


Items with secondary classifications in 03E60 

Barua, Rana On the Borel hierarchies of countable products of Polish spaces. 924:54050 

Ciesielski, Krzysztof (with Laver, R.) A game of D. Gale in which one of the players has 
limited memory. 924:90137 

Laver, R. see Ciesielski, Krzysztof, 92d:90137 

Martin, Donald A. An extension of Borel determinacy. 92¢:03070 

Tanaka, Kazuyuki! Weak axioms of determinacy and subsystems of analysis. I. AS games. 
92h:03089a 

— Weak axioms of determinacy and subsy 





s of analysis. II. £9 games. 92h:03089b 


03E65 Other hypotheses and axioms 
Just, Winfried Repercussions of a problem of Erdés and Ulam on density ideals. 92f:03061 


Items with secondary classifications in 03E65 
Fremlin, D. H. Families of compact sets and Tukey’s ordering. 92¢:54032 


03E70 Nonclassical and second-order set theories 


Clavelli, Massimo Variables and the theory A. (Italian. English summary) 92h:03083 

Cuda, Karel Multiplication of nonadditive cuts in AST. 92h:03084 

Forster, Thomas Permutations and stratified formulae—a preservation theorem. 92a:03070 

Guriéan, Jaroslav Homology theory in the alternative set theory. I. Algebraic preliminaries. 
92i:03058 

Hinnion, Roland Embedding properties and anti-foundation in set theory. 92e:03082a 

— Correction to: “Embedding properties and anti-foundation in set theory”. 92¢:03082b 

— Stratified and positive comprehension seen as superclass rules over ordinary set theory. 
92h:03085 

Jansana, Ramén On the mathematical content of the theory of classes KM. 92e:03083 

Kim, Sang Mun? An existence proof of isomorphism from a well-ordering onto a type. 
92h:03086 

Kisielewicz, Andrzej Double extension set theory. 92¢:03084 

Kyuma, Eido Constructive set theory with Markov’s principle. 92a:03071 

Manakos, Jannis On a subtheory of the Bernays-Gédel set theory. 92d:03040 

Marchini, Carlo Models for TAI. (Italian summary) 92i:03059 

Prati, Nando The theory FAST and the axiom of induction in finite form. (Italian) 
92a:03072 

Sgall, Jiti (with Sochor, Antonin) Revealed automorphisms. 92g:03079 

— Forcing in the alternative set theory. I. 92m:03089a 

— (with Sochor, Antonin) Forcing in the alternative set theory. II. 92m:03089b 

Sochor, Antonin see Sgall, Jiti, 92g:03079 and 92m:03089b 


Items with secondary classifications in 03E70 

Clavelli, Massimo The paradox of the two classes. (Italian. English summary) 92i:03041 

Forti, Marco (with Honsell, Furio) Models of self-descriptive set theories. 92g:03076 

Holmes, M. Randall Systems of combinatory logic related to Quine’s “New Foundations”. 
92g:03020 

Honsell, Furio see Forti, Marco, 92g:03076 

Li, Na The Boolean-valued model of the axiom system of GB. 92m:03085 

Quaife, Art Automated deduction in von Neumann-Bernays-Gédel set theory. 92m:03013 

Vdovin, A.M. Foundations of a new axiomatic set theory. (Russian) 92c:03060 


03E72 Fuzzy sets [See mainly 04A72] 


Atanassov, Krassimir T. Temporal intuitionistic fuzzy sets. 

Biacino, Loredana (with Gerla, Giangiacomo) Fuzzy subsets: a constructive approach. 
921:03060 

Bourlon, Franck see Loslever, Pierre 

Cai, Wen The extension set and noncompatible problems. (see 92g:73001) 

Coulon, Jean-Louis see Coulon, Josette, 92e:03085a and 92e:03085b 


presheaves on a complete Heyting algebra. 92e:03085b 

— (with Coulon, Jean-Louis) About some categories of Q-valued sets. 92e:03085a 

Drossos, C. A. (with Markakis, G.) Boolean fuzzy sets. 92m:03090 

Gerla, Giangiacomo see Biacino, Loredana, 92i:03060 

He, Jia Ru An axiom system for fuzzy set theory. (Chinese. English summary) 

Heilpern, Stanistaw Evidence induced by linguistic probability. (see 92k:68001) 

Loslever, Pierre (with Bourlon, Franck) Classification of evaluation strategies of the term 
“large” and the connective “and” through correspondence factor analysis. 

Markakis, G. see Drossos, C. A., 92m:03090 

Stout, Lawrence Neff A survey of fuzzy set and topos theory. 92h:03087 


Items with secondary classifications in 03E72 

Belluce, L. P. (with Di Nola, Antonio; Sessa, Salvatore) Triangular norms, MV-algebras 
and bold fuzzy set theory. 92g:03088 

Cattaneo, Gianpiero Quantum fuzzy-intuitionistic (Brouwer-Zadeh) posets. (see 92b:00045) 

Dial, Gur see Ramachandran, K. M., 92d:94012 

Di Nola, Antonio see Belluce, L. P.; et al., 92g:03088 

de Glas, Michel A representation theory for rings of finite characteristics. (Russian 
summary) 92g:06016 

Hellendoorn, Hans Fuzzy numbers and approximate reasoning. 92m:03032 

Hohle, Ulrich Monoidal closed categories, weak topoi and generalized logics. 92i:03071 

Kitainik, L.M. Fuzzy binary relations and decision making procedures. (Russian) 
92c:90006 

Nanda, Sudarsan Fuzzy algebras over fuzzy fields. 92e:04007 





91 1992 


Novak, Vilém The unifying role of fuzzy logic in fuzzy set theory. 92m:03034 

Prati, Nando The theory FAST and the axiom of induction in finite form. (Italian) 
92a:03072 

Ramachandran, K. M. (with Dial, Gur) A short technical note. Comments on: “Trigono- 
metric entropies, Jensen difference divergence measures, and error bounds” [Inform. Sci. 
35 (1985), no. 2, 145-156; MR 86j:94034] by A. P. Sant’Anna and I. J. Taneja. 924:94012 

(Sant’Anna, Annibal P.) see Ramachandran, K. M., 92d:94012 

Sessa, Salvatore see Belluce, L. P.; et al., 92g:03088 

(Taneja, Inder Jeet) see Ramachandran, K. M., 92d:94012 

Wan, Hong Hui Algebraic properties of interval algebras. 92m:06024 

Yen, John Computing generalized belief functions for continuous fuzzy sets. 


03E75 Applications 


Items with secondary classifications in 03E75 

Brendle, Jérg Cardinal invariants of infinite groups. 92e:03068 

Dahn, Bernd I. Boolean valued models and incomplete specifications. 92k:03022 
Eklof, Paul C. (with Mekler, Alan H.) * Almost free modules. 92e:20001 

— A transfer theorem for nonstandard uniserials. 92f:13027 

Foreman, Matthew Locally finite groups of permutations of N acting on /°. 92g:03077 
Mekler, Alan H. see Eklof, Paul C., 92e:20001 


03Fxx Proof theory and constructive mathematics 


03F03 Proof theory, general 


Items with secondary classifications in 03F03 

Kleiner, Israel Rigor and proof in mathematics: a historical perspective. 92m:01007 

Luckhardt, H. New formally undecidable propositions: nontrivial lower bounds on proof 
complexity and related theorems. 92i:03061 

Ruitenburg, Wim B. G. Constructive logic and the paradoxes. 92g:03011 


03F05 Cut-elimination and normal-form theorems 


Berardi, Stefano A semantic purely intuitionistic proof of Takeuti’s conjecture. 92g:03080 

Buchholz, Wilfried Notation systems for infinitary derivations. 92h:03088 

Bystrov, P. I. Cut-elimination methods in nonclassical logics. (Russian. English summary) 
924:03041 

Hirokawa, Sachio BCK-formulas having unique proofs. (see 92g:68005) 

Maehara, Shoji Lattice-valued representation of the cut-elimination theorem. 92k:03024 

Mints, Grigorii Efroimovich A strengthened normal form theorem for the predicate 
calculus. (Russian. English and Estonian summaries) 92f:03062 

Rathjen, Michael Proof-theoretic analysis of KPM. 92a:03073 

,O.F. An elementary proof of the cut-elimination theorem in second-order 

logic. (Russian) 92d:03042 


Items with secondary classifications in 03F05 

Anellis, Irving H. From semantic tableaux to Smullyan trees: a history of the development 
of the falsifiability tree method. 92a:03001 

Brady, Ross T. Gentzenization and decidability of some contractionless relevant logics. 
92j:03017 

Dogen, Kosta Addenda and corrigenda to: “Sequent-systems and groupoid models. I” 
[Studia Logica 47 (1988), no. 4, 353-385; MR 90g:03029]. 924:03015 

Goto, Shigeki Proof normalization with nonstandard objects. 92m:03040 

Holden, Marit Weak logic theory. 92f:68111 

Lépez-Escobar, E.G. K. Formalizing a nonlinear Henkin quantifier. 92j:03035 

Mints, Grigorii Efroimovich Normalization theorems for the intuitionistic systems with 
choice principles. 92e:03012 

Shimura, Tatsuya On the strength of PA with a nonprincipal ultrafilter quantifier. 
92k:03027 

Sieg, Wilfried Herbrand analyses. 92¢e:03088 

Uesu, Tadahiro A general method of axiomatizing fragments. 92¢:03086 

Wijesekera, Duminda Constructive modal logics. I. 92i:03064 


03F07 Structure of proofs 


Blute, Richard Proof nets and coherence theorems. (see 92g:68005) 

Jones, Cliff B. Consequences. (see 92i:68005) 

Schroeder-Heister, Peter Structural frameworks, substructural logics, and the role of 
elimination inferences. (see 92f:68003) 

Uesu, Tadahiro A general method of axiomatizing fragments. 92e:03086 

Yukami, Tsuyoshi A theorem on generalizations of proofs. 92e:03087 


Items with secondary classifications in 03F07 

Bychkov, S. N. Features of the ancient method of exhaustion. (Russian) 92e:01011 
(Dijkstra, Edsger W.) see van Gasteren, A. J. M., 92f:68109 

Gabbay, Dov M. Algorithmic proof with diminishing resources. I. (see 92d:68007) 
van Gasteren, A. J. M. * On the shape of mathematical arguments. 92f:68109 
Siki¢, Zvonimir Premiss tree proofs and logic of contradiction. 92h:03007 
Solovev, S. V. On the conditions of full coherence in closed categories. 92d:18005 
Stepien, Teodor Single-axiom systems. 92h:03009 


03F10 Functionals in proof theory 
Sieg, Wilfried Herbrand analyses. 92¢:03088 


03F Proof theory and constructive mathematics 


03F15 Recursive ordinals and ordinal notations 


Aoyama, Kiwamu Several examples of system of fundamental sequences to show a 
connection among the built-up systems. 92f:03063 

Jouannaud, Jean-Pierre (with Okada, Mitsuhiro) Satisfiability of systems of ordinal 
notations with the subterm property is decidable. (see 92g:68004) 

Leorent-s, Peeter see Uustalu, Tarmo, 92a:03074 

Okada, Mitsuhiro see Jouannaud, Jean-Pierre, (92g:68004) 

Pfeiffer, Helmut A theorem on labelled trees and the limits of its provability. 92f:03064 

Pohlers, W. Proof theory and ordinal analysis. 92k:03025 

Uustalu, Tarmo (with Lorent-s, Peeter) On some classes of hereditarily enumerable sets. 
(Russian. English and Estonian summaries) 92a:03074 

Weiermann, Andreas Vereinfachte Kollabierungsfunktionen und ihre Anwendungen. 
(English summary) [Simplified collapsing functions and their applications] 92m:03091 


Items with secondary classifications in 03F15 

Buchholz, Wilfried Notation systems for infinitary derivations. 92h:03088 
Rathjen, Michael Proof-theoretic analysis of KPM. 92a:03073 

Wainer, S.S. Hierarchies of provably computable functions. 92g:03067 


03F20 Complexity of proofs 


Buss, Samuel R. Propositional consistency proofs. 92f:03065 

Farmer, William M. A unification-theoretic method for investigating the k-provability 
problem. 92g:03081 

Leivant, Daniel Computationally based set existence principles. 92c:03061 

Luckhardt, H. New formally undecidable propositions: nontrivial lower bounds on proof 
complexity and related theorems. 92i:03061 


Items with secondary classifications in 03F20 

Buss, Samuel R. The undecidability of k-provability. 92g:03071 

Drewes, Frank (with Lautemann, Clemens) Incremental termination proofs and the length 
of derivations. 92c:68092 

Lautemann, Clemens see Drewes, Frank, 92c:68092 

Pudlak, Pavel Ramsey’s theorem in bounded arithmetic. (see 924:68007) 

Yukami, Tsuyoshi A theorem on generalizations of proofs. 92¢:03087 


03F25 Relative consistency and interpretations 


Inoué, Takao Some type of formulas and the faithfulness of Flagg and Friedman’s 
translation. 


Items with secondary classifications in 03F25 


Buss, Samuel R. Propositional consistency proofs. 92f:03065 
Gonzalez, Carlos G. A note on Zermelo set theory. 
Sochor, Antonin Minimality of interpretations. (see 92a:03004) 


03F30 First-order arithmetic and fragments 


Arai, Toshiyasu Derivability conditions on Rosser’s provability predicates. 92i:03062 

Bencivenga, Ermanno Incompleteness of a free arithmetic. 92c:03062 

Berarducci, Alessandro The interpretability logic of Peano arithmetic. 92f:03066 

— (with Intrigila, Benedetto) Combinatorial principles in elementary number theory. 
92j:03051 

Chong, C.T. (with Mourad, K. J.) The degree of a Z, cut. 92f:03067 

Detlefsen, Michael On an alleged refutation of Hilbert’s program using Gédel’s first 
incompleteness theorem. 92b:03057 

Halpern, Joseph Y. Presburger arithmetic with unary predicates is Mi} complete. 92k:03026 

Intrigila, Benedetto see Berarducci, Alessandro, 92j:03051 

Kaye, Richard William Parameter-free universal induction. 92e:03089 

Kotlarski, Henryk (with Ratajczyk, Zygmunt) Inductive full satisfaction classes. 92b:03058 

— (with Ratajczyk, Zygmunt) More on induction in the language with a satisfaction class. 
92b:03059 

Krajitek, Jan (with Pudlak, Pavel; Takeuti, Gaisi) Bounded arithmetic and the polynomial 
hierarchy. 92:03068 

Mourad, K. J. see Chong, C. T., 92£:03067 

Otero, Margarita Corrigendum: “On Diophantine equations solvable in models of open 
induction” [J. Symbolic Logic 55 (1990), no. 2, 779-786; MR 91i:03107]. 92g:03082 

Paris, Jeff Combinatorial statements independent of arithmetic. (see 92d:05172) 

Pudlak, Pavel A note on bounded arithmetic. 92a:03075 

— Ramsey’s theorem in bounded arithmetic. (see 92d:68007) 

— see also Krajitek, Jan; et al., 92:03068 

Ratajczyk, Zygmunt see Kotlarski, Henryk, 92b:03058 and 92b:03059 

Sazonov, V. Yu. An equivalence between polynomial constructivity of Markov’s principle 
and the equality P = NP. 92c:03063 

Shen, Bai Ying * Yuanshi digui suanshu. (Chinese) [Primitive recursive arithmetic] 
92g:03083 

Shimura, Tatsuya On the strength of PA with a nonprincipal ultrafilter quantifier. 
92k:03027 

Sikié, Zvonimir On Devidé’s axiomatization of natural numbers. 92m:03092 

Takeuti, Gaisi Some relations among systems for bounded arithmetic. 92¢:03064 

— see also Krajitek, Jan; et al., 92f:03068 


Items with secondary classifications in 03F30 

Allen, Bill Arithmetizing uniform NC. 92g:03064 

Artémov, S. N. Kolmogorov’s logic of problems and a provability interpretation of 
intuitionistic logic. 92c:03015 

— Uniform arithmetic completeness of modal provability logics. (Russian) 922:03019 

Boolos, George Zooming down the slippery slope. 92j:03001 

Buchholz, Wilfried Notation systems for infinitary derivations. 92h:03088 








03F30 


Cantini, Andrea A logic of abstraction related to finite constructive number classes. 
92j:03027 

Chagrov, A. V. Undecidable properties of extensions of provability logic. (Russian) 
92i:03014 

Dogen, Kosta Modal translations of Heyting and Peano arithmetic. 92f:03014 

Dzhaparidze, G. K. Decidable and enumerable predicate logics of provability. 92a:03023 

Farmer, William M. A unification-theoretic method for investigating the k-provability 
problem. 92g:03081 

Hodgson, Bernard R. (with Kent, Clement F.) A survey of ordinal interpretations of type eo 
for termination of rewriting systems. (see 92g:68076) 

Inoué, Takao Some type of formulas and the faithfulness of Flagg and Friedman’s 
translation. 

(Jacquette, Dale) see Presburger, Mojzesz, 92i:03003 

de Jongh, Dick (with Veltman, Frank) Provability logics for relative interpretability. 
92d:03011 

Kaye, Richard William * Models of Peano arithmetic. 92k:03034 

Kent, Clement F. see Hodgson, Bernard R., (92g:68076) 

van Lambalgen, Michiel Algorithmic information theory. 92b:68037 

Leivant, Daniel Computationally based set existence principles. 92c:03061 

Marker, David Enumerations of Turing ideals with applications. 92c:03039 

Matiyasevich, Yu. V. The Riemann hypothesis from a logician’s point of view. 92f:11119 

Mints, Grigorii Efroimovich Normalization theorems for the intuitionistic systems with 
choice principles. 92e:03012 

(NeSettil, Jaroslav) see Mathematics of Ramsey theory, 92d:05172 

van Oosten, Jaap Lifschitz’ realizability. 92a:03076 

Presburger, Mojzesz On the completeness of a certain system of arithmetic of whole 
numbers in which addition occurs as the only operation. 92i:03003 

(Rédl, Vojtéch) see Mathematics of Ramsey theory, 92d:05172 

Rybakov, V. V. Admissibility of rules of inference, and logical equations in modal logics that 
axiomatize provability. (Russian) 92a:03027 

— Logical equations and admissible rules of inference with parameters in modal provability 
logics. 92f:03015 

Smoryiski, Craig * Logical number theory. I. 92g:03001 

S uga-Rosol Giovanni * Fixed point constructions in various theories of 
mathematical logic. 92g:03003 

Terrier, Véronique Decidability of the existential theory of the set of natural numbers with 
order, divisibility, power functions, power predicates, and constants. 92f:03007 

Tomas, Francesc On Hilbert’s program and the notion of recursive formalism. (Spanish) 
92m:03007 

Veltman, Frank see de Jongh, Dick, 92d:03011 

Weispfenning, V. The complexity of almost linear Diophantine problems. 92c:03047 

Yukami, Tsuyoshi A theorem on generalizations of proofs. 92¢:03087 





Items listed otherwise than by author 
Mathematics of Ramsey theory * Mathematics of Ramsey theory. 92d:05172 


03F35 Second- and higher-order arithmetic and fragments 
[see also 03E30, 03E70] 


Friedman, Harvey M. (with Hirst, Jeffry L.) Reverse mathematics and homeomorphic 
embeddings. 92m:03093 

Hirst, Jeffry L. Connected components of graphs and reverse mathematics. 92j:03052 

— see also Friedman, Harvey M., 92m:03093 

Marcone, Alberto Theory of sets and classes and systems used in reverse mathematics. 
92b:03060 

Sochor, Antonin Minimality of interpretations. (see 92a:03004) 

Tanaka, Kazuyuki! Weak axioms of determinacy and subsystems of analysis. I. AS games. 
92h:03089a 

— Weak axioms of determinacy and subsystems of analysis. II. D> games. 92h:03089b 


Items with secondary classifications in 03F35 

Cantini, Andrea A logic of abstraction related to finite constructive number classes. 
92j:03027 

Cantone, D. (with Cutello, V.; Schwartz, Jacob T.) Decision problems for Tarski and 
Presburger arithmetics extended with sets. (see 92d:68007) 

Cutello, V. see Cantone, D.; et al., (92d:68007) 

Marker, David Enumerations of Turing ideals with applications. 92¢:03039 

Pfeiffer, Helmut A theorem on labelled trees and the limits of its provability. 92f:03064 

Schwartz, Jacob T. see Cantone, D.; et al., (92d:68007) 

Scowcroft, Philip A new model for intuitionistic analysis. 92h:03091 

Sgall, Jiti Forcing in the alternative set theory. I. 92m:03089a 

— (with Sochor, Antonin) Forcing in the alternative set theory. II. 92m:03089b 

Sochor, Antonin see Sgall, Jiti, 92m:03089b 


03F40 Gédel numberings in proof theory 


Items with secondary classifications in 03F40 


Arai, Toshiyasu Derivability conditions on Rosser’s provability predicates. 92i:03062 

Artémov, S. N. Kolmogorov’s logic of problems and a provability interpretation of 
intuitionistic logic. 92¢:03015 

— Uniform arithmetic completeness of modal provability logics. (Russian) 92a:03019 

Berarducci, Alessandro The interpretability logic of Peano arithmetic. 92f:03066 

Chagrov, A. V. Undecidable properties of extensions of provability logic. (Russian) 
92i:03014 

Detlefsen, Michael On an alleged refutation of Hilbert’s program using Gédel’s first 
incompleteness theorem. 92b:03057 

Dzhaparidze, G. K. Decidable and enumerable predicate logics of provability. 92a:03023 

(Gédel, Kurt Friedrich) see Gédel’s theorem in focus, 92c:03007 

Hehner, Eric C.R. Beautifying Gidel. (see 92i:68005) 


MATHEMATICAL LOGIC AND FOUNDATIONS 


1992 92 


de Jongh, Dick (with Veltman, Frank) Provability logics for relative interpretability. 
92d:03011 

Luckhardt, H. New formally undecidable propositions: nontrivial lower bounds on proof 
complexity and related theorems. 92i:03061 

Rockingham Gill, R. R. * Deducibility and decidability. 92e:03001 

Rybakov, V. V. Admissibility of rules of inference, and logical equations in modal logics that 
axiomatize provability. (Russian) 92a:03027 

— Logical equations and admissible rules of inference with parameters in modal provability 
logics. 92f:03015 

(Shanker, S.G.) see Gédel’s theorem in focus, 92c:03007 

Veltman, Frank see de Jongh, Dick, 92d:03011 


Items listed otherwise than by author 
Biography: 

Gédel, Kurt Friedrich * Gédel’s theorem in focus. 92c:03007 
Gédel’s theorem in focus * Gédel’s theorem in focus. 92¢:03007 


03F50 Metamathematics of constructive systems 


van Oosten, Jaap Lifschitz’ realizability. 92a:03076 

Palmgren, Erik A construction of Type:Type in Martin-Léf’s partial type theory with one 
universe. 92h:03090 

Sato, Masahiko Adding proof objects and inductive definition mechanisms to Frege 
structures. 92i:03063 

Scowcroft, Philip A new model for intuitionistic analysis. 92h:03091 

Wijesekera, Duminda Constructive modal logics. I. 92i:03064 


Items with secondary classifications in 03F50 

Blute, Richard Proof nets and coherence theorems. (see 92g:68005) 

Felty, Amy Encoding dependent types in an intuitionistic logic. (see 92f:68003) 

Gerstenkorn, Tadeusz (with Manko, Jacek) Correlation of intuitionistic fuzzy sets. 
92h:04005 

Hallnas, Lars Models of partial inductive definitions. (see 92f:68003) 

Hodgson, Bernard R. (with Kent, Clement F.) A survey of ordinal interpretations of type eo 
for termination of rewriting systems. (see 92g:68076) 

Kent, Clement F. see Hodgson, Bernard R., (92g:68076) 

Kyuma, Eido Constructive set theory with Markov’s principle. 92a:03071 

Leivant, Daniel Computationally based set existence principles. 92c:03061 

Maibaum, Thomas S. E. see de Queiroz, Ruy J. G. B., 92:68090 

Maiko, Jacek see Gerstenkorn, Tadeusz, 92h:04005 

McLarty, Colin Stable surjection logic. (French summary) 92a:03079 

Mendler, Paul see Panangaden, Prakash; et al., 92e:68115 

Mints, Grigorii Efroimovich Normalization theorems for the intuitionistic systems with 
choice principles. 92e:03012 

Panangaden, Prakash (with Mendler, Paul; Schwartzbach, Michael I.) Recursively defined 
types in constructive type theory. 92e:68115 

de Queiroz, Ruy J.G.B. (with Maibaum, Thomas S. E.) Proof theory and computer 
programming. 92a:68090 

Schwartzbach, Michael I. see Panangaden, Prakash; et al., 92e:68115 

Varpakhovskii, F. L. On the axiomatization of realizable propositional formulas. (Russian) 
92h:03011 


03F55 Intuitionistic mathematics 


Ashvinikumar Intuitionist counterexample to the classical Schroed 
92i:03065 

Coquand, Thierry A direct proof of the intuitionistic Ramsey theorem. (see 92g:68005) 

van Dalen, D. Heyting and intuitionistic geometry. 92i:03066 

(Heyting, Arend) see van Dalen, D., 92i:03066 

Kushner, B. A. On a representation of bar-induction. (Russian) 92c:03065 

McCarty, David Charles Incompleteness in intuitionistic metamathematics. 92j:03053 

Swaen, M. D.G. The logic of first order intuitionistic type theory with weak sigma- 
elimination. 92m:03094 


Bernstein th 





Items with secondary classifications in 03F55 

Abrusci, V. Michele Noncommutative intuitionistic linear logic. 92b:03035 

Amadio, Roberto M. Recursion over realizability structures. 92¢:03066 

Bonner, Anthony J. (with McCarty, L. Thorne) Adding negation-as-failure to intuitionistic 
logic programming. (see 92d:68013) 

(Brouwer, Luitzen Egbertus Jan) see van Stigt, Walter P., 92d:01054 

Cattaneo, Gianpiero Quantum fuzzy-intuitionistic (Brouwer-Zadeh) posets. (see 92b:00045) 

Dosen, Kosta Modal translations of Heyting and Peano arithmetic. 92f:03014 

Gago Couso, Felipe Compactness and Kock’s principle. (Galician. English summary) (see 
92g:00024) 

Gonzalez, Wenceslao J. Intuitionistic mathematics and Wittgenstein. 92c:03006 

(Korteweg, D. J.) see van Stigt, Walter P., 92d:01054 

Lyubetskii, V. A. On some applications of Heyting-valued analysis. II. 92m:03055 

Maibaum, Thomas S. E. see de Queiroz, Ruy J. G. B., 92a:68090 

McCarty, L. Thorne see Bonner, Anthony J., (92d:68013) 

Nerode, Anil Some lectures on intuitionistic logic. 92a:03011 

van Oosten, Jaap Lifschitz’ realizability. 92a:03076 

de Queiroz, Ruy J.G. B. (with Maibaum, Thomas S. E.) Proof theory and computer 
programming. 92a:68090 

Ruitenburg, Wim B.G. Constructive logic and the paradoxes. 92g:03011 

Scowcroft, Philip A new model for intuitionistic analysis. 92h:03091 

Song, Fang Min Studies on negation in intuitionistic type theory. (Chinese. English 
summary) 92g:03009 

van Stigt, Walter P. * Brouwer’s intuitionism. 92d:01054 

Uesu, Tadahiro A general method of axiomatizing fragments. 92¢:03086 





93 1992 


Varpakhovskii, F. L. On the axiomatization of realizable propositional formulas. (Russian) 
92h:03011 

Veldman, Wim A survey of intuitionistic descriptive set theory. 92e:03072 

Wijesekera, Duminda Constructive modal logics. I. 92i:03064 

(Wittgenstein, Ludwig) see Gonzalez, Wenceslao J., 92c:03006 


03F60 Constructive and recursive analysis [see also 26E40, 
46830, 47S30] 


Bridges, Douglas S. A general constructive intermediate value theorem. 92j:03054 

Ishihara, Hajime An omniscience principle, the Kénig lemma and the Hahn-Banach 
theorem. 92m:03095 

— Constructive compact operators on a Hilbert space. 92c:03066 

— Continuity and nondiscontinuity in constructive mathematics. 92m:03096 

Labhalla, Salah Complexité du calcul du développement d’un nombre réel en fractions 
continues. (English summary) [Complexity of the calculation of the continued fraction 
expansion of a real number] 92k:03028 

— (with Lombardi, Henri) Représentations des nombres réels par développements en base 
entiére et complexité. (English summary) [Representations of real numbers by expansions 
in an integer basis and complexity] 92m:03097 

Lisovik, L. P. Logical properties of partial continuous functions. (Russian) 92b:03061 

— Classes of functions defined by transformers. (Russian. English summary) 92c:03067 

Lombardi, Henri see Labhalla, Salah, 92m:03097 


Items with secondary classifications in 03F60 
Bridges, Douglas S. The constructive inequivalence of various notions of preference 
ordering. 92i:90012 


Grigorieff, Serge Complexité algorithmique en analyse. [Algorithmic complexity in analysis] 
92h:68033 


Kushner, B. A. Effective meaning of a theorem on uniform limit transition. (Russian) 
3069 


Malvey, Christopher J. (with Pelletier, Joan Wick) A geometric characterization concerning 
compact, convex sets. 92a:46095 

Pelletier, Joan Wick see Mulvey, Christopher J., 92a:46095 

Shu, Xiang Qin Some investigations in approximation transforming theory. (Chinese) 
92¢:93005 

Smale, Stephen Some remarks on the foundations of numerical analysis [MR 91k:00007]. 
(see 92c:58001) 

Triesch, Eberhard A note on a theorem of Blum, Shub, and Smale. 924:68050 


Vovk, V.G. Asymptotic efficiency of estimates: an algorithmic approach. (Russian) 
92i:62050 


03F65 Other constructive mathematics [see also 26E40, 46S30, 
47830] 


Constable, Robert L. (with Murthy, Chetan R.) Finding computational content in classical 
proofs. (see 92f:68003) 

Hayashi, Susumu Constructive mathematics and computer-assisted reasoning systems. 
92¢:03068 


Kushner, B. A. Effective meaning of a theorem on uniform limit transition. (Russian) 
3069 


Murthy, Chetan R. (with Russell, James R.) A constructive proof of Higman’s lemma. (see 
92b:68007) 

— see also Constable, Robert L., (92f:68003) 

Richman, Fred Polynomials and linear transformations. 92¢:03090 

Romano, Daniel A. Rings and modules, a constructive view. 92g:03084 

Ruitenburg, Wim B. G. Constructing roots of polynomials over the complex numbers. 
92g:03085 

Russell, James R. see Murthy, Chetan R., (92b:68007) 

Rvachév, V. L. Non-Archimedean arithmetic and other constructive methods of mathemat- 
ics based on the ideas of the special theory of relativity. (Russian) 92e:03091 


Items with secondary classifications in 03F65 

Burkhard, W. A. see Kroon, Frederick W., 92¢:03059 

Feferman, Solomon Polymorphic typed lambda-calculi in a type-free axiomatic framework. 
92c:03014 

Ishihara, Hajime Continuity and nondiscontinuity in constructive mathematics. 
92m:03096 

— Constructive existence of Minkowski functionals. 92k:46126 

Jacobsson, Carl (with Léfwall, Clas) Standard bases for general coefficient rings and a new 
constructive proof of Hilbert’s basis theorem. 92j:13027 

Kechris, Alexander S. Boundedness theorems for dilators and ptykes. 92d:03035 

Kroon, Frederick W. (with Burkhard, W. A.) Ona complexity-based way of constructiviz- 
ing the recursive functions. 92¢:03059 

Léfwall, Clas see Jacobsson, Carl, 92j:13027 

Lombardi, Henri (with Roy, Marie-Francoise) Elementary constructive theory of ordered 
fields. 92j:12014 

Richman, Fred The constructive theory of torsion-free abelian groups. 92d:20080 

Roy, Marie-Francoise see Lombardi, Henri, 92j:12014 

Sazonov, V. Yu. An equivalence between polynomial constructivity of Markov’s principle 
and the equality P= NP. 92c:03063 

Vermeulen, J. J.C. Weak compactness in constructive spaces. 92i:54028 


03Gxx Algebraic logic 
Items with secondary classifications in 03Gxx 


(Andréka, Hajnalka) see Algebraic logic, 92m:03003 
Comer, Stephen D. Some problems on hypergroups. 92f:20081 


03G Algebraic logic 


(Monk, J. Donald) see Algebraic logic, 92m:03003 
(Németi, Istvan) see Algebraic logic, 92m:03003 
Items listed otherwise than by author 
Algebraic logic * Algebraic logic. 92m:03003 
Budapest * Algebraic logic. 92m:03003 
Colloquia Mathematica Societatis Janos Bolyai * Algebraic logic. 92m:03003 
Colloquium: 
Algebraic Logic * Algebraic logic. 92m:03003 


03G05 Boolean algebras [see also 06Exx] 


Aizenberg, I. N. A universal logical element over the field of complex numbers. (Russian. 
English and Ukrainian summaries) 

Balcar, Bohuslav (with Simon, Petr) On minimal z-character of points in extremally 
disconnected compact spaces. 92j:03055 

Grygiel, Joanna Absolutely independent sets of generators of filters in Boolean algebras. 
92a:03077 

Simon, Petr see Balcar, Bohuslav, 92j:03055 


Items with secondary classifications in 03G05 

Abraham, Uri (with Bonnet, Robert) Every superatomic subalgebra of an interval algebra is 
embeddable in an ordinal algebra. 92i:06021 

Bankovi¢, Dragi¢é Certain Boolean equations. 92j:06018 

Benitez Trujillo, Francisco Study of some Boolean algebras using sequences of ordinals. 
(Spanish. English summary) (see 92b:00044) 

— The Ramsey theorem applied to Boolean algebras. (Spanish. English summary) 
92g:06018 

Berger, Marc Aron (with Felzenbaum, Alexander Gersh; Fraenkel, Aviezri S.) Irreducible 
disjoint covering systems (with an application to Boolean algebra). 92c:20037 

Biacino, Loredana (with Gerla, Giangiacomo) Connection structures. 92i:03067 

Bonnet, Robert see Abraham, Uri, 92i:06021 

(Boole, George) see Grattan-Guinness, Ivor, 92c:01022 

Borceux, Francis (with Pedicchio, Maria Cristina; Rossi, Fabio) Boolean algebras in a 
localic topos. 92b:18002 

Cao, Han Fan A survey of a simplification method for multi-output logical functions. 
(Chinese. English summary) 

Charbonnel, Jean-Yves Sur certains sous-ensembles de l’espace euclidien. (English 
summary) [On certain subsets in Euclidean space] 92m:14074 

Deng, Yuan Bei see Guo, Zhong; et al., 92g:05047 

Dunne, Paul E. * The complexity of Boolean networks. 92¢e:94035 

Felzenbaum, Alexander Gersh see Berger, Marc Aron; et al., 92c:20037 

Fraenkel, Aviezri S. see Berger, Marc Aron; et al., 92c:20037 

Frankiewicz, Ryszard (with Zbierski, P.) On partitioner-representability of Boolean 
algebras. 92b:03055 

Fuchino, Sakaé (with Koppelberg, Sabine) Pseudo-tree algebras which are embeddable into 
L.ow,-free Boolean algebras. (see 92a:03004) 

Gerla, Giangiacomo see Biacino, Loredana, 92i:03067 

Gluschankof, Daniel Prime ideal and Sikorski extension theorems for some /-groups. 
92b:06039 

Grattan-Guinness, Ivor The correspondence between George Boole and Stanley Jevons, 
1863-1864. 92c:01022 

Guo, Zhong (with Deng, Yuan Bei) Determination of primitivity and reducibility of (n — 
1)-cyclic Boolean matrices of order n. (Chinese. English summary) 92g:05047 

Houser, Nathan The Schréder-Peirce correspondence. 92i:01019 

(Jevons, William Stanley) see Grattan-Guinness, Ivor, 92c:01022 

Just, Winfried (with Koszmider, Piotr) Remarks on confinalities and homomorphism types 
of Boolean algebras. 92d:03038 

Kitaev, A. Yu. Approximate calculation of the height of a maximal upper zero of a 
monotone Boolean function. (Russian) 92j:68052 

Koppelberg, Sabine see Fuchino, Sakaé, (92a:03004) 

Koszmider, Piotr see Just, Winfried, 92d:03038 

Lipkin, L. I. see Zuev, Yu. A., 92h:06012 

Maehara, Shoji Lattice-valued representation of the cut-elimination theorem. 92k:03024 

Marchenkov, S.S. Uniform id-decomposition of Boolean functions. (Russian) 92j:06019 

Martinez, Juan Carlos On scattered spaces and Boolean algebras. (Spanish. English 
summary) (see 92b:00044) 

Mazur, Krzysztof F,-ideals and w,w}-gaps in the Boolean algebras P(w)//. 92g:06019 

Monk, J. Donald * Cardinal functions on Boolean algebras. 92d:06033 

Nozaki, Akihiro see Sato, Hisashi; et al., 92h:94040 

de Oliveira, Eurides Alves (with Teixeira, Mario Tourasse) Residual sets in N. (Portuguese. 
English summary) 92i:06022 

Pedicchio, Maria Cristina see Borceux, Francis; et al., 92b:18002 

(Peirce, Charles S.) see Houser, Nathan, 92i:01019 

Pogosyan, G. R. see Sato, Hisashi; et al., 92h:94040 

Rossi, Fabio see Borceux, Francis; et al., 92b:18002 

Rudeanu, Sergiu * On deduction theorems and functional Boolean equations. 92j:06020 

Sato, Hisashi (with Nozaki, Akihiro; Pogosyan, G. R.) Completeness of logical functions 
realized by asynchronous sequential circuits. 92h:94040 

(Schréder, Ernst) see Houser, Nathan, 92i:01019 

Stetsenko, V. A. A classification of Post classes. (Russian) 922:06016 

Stérmer, Horand * Binary functions and their applications. 92i:06023 

Teixeira, Mario Tourasse see de Oliveira, Eurides Alves, 92i:06022 

Wang, Chi (with Williams, A.C.) The threshold order of a Boolean function. 924:94039 

— (with Williams, A.C.) Addendum to: “The threshold order of a Boolean function” 
[Discrete Appl. Math. 31 (1991), no. 1, 51-69; MR 92d:94039). 

Williams, A.C. see Wang, Chi, 924:94039 

Zadoyan, K. V. A Boolean function with a small number of zeros. (Russian) 92h:06011 

Zhbierski, P. see Frankiewicz, Ryszard, 92b:03055 

Zhang, Yan Zhong Minimisation of exclusive-OR logic functions. 92f:94033 





03G05 


Zuev, Yu. A. (with Lipkin, L. I.) Regular Boolean functions with given complexity of 
disjunctive normal forms. (Russian) 92h:06012 


03G10 Lattices and related structures [see also 06Bxx] 


Biacino, Loredana (with Gerla, Giangiacomo) Connection structures. 92i:03067 

Gago Couso, Felipe Compactness and Kock’s principle. (Galician. English summary) (see 
92g:00024) 

Gerla, Giangiacomo see Biacino, Loredana, 92i:03067 

Sorbi, Andrea Embedding Brouwer algebras in the Medvedev lattice. 92j:03056 


Items with secondary classifications in 03G10 

Bergman, George M. (with Zimmermann-Huisgen, Birge) Infinite joins that are finitely 
join-irreducible. 92b:06014 

Cignoli, Roberto Quantifiers on distributive lattices. 92i:06017 

Figallo, Aldo V. A note on M3-lattices. (Spanish) 92d4:06029 

Ivanov, Al. Orthomodularity, compatibility and commutativity in physical theories. 
92h:81021 

Maehara, Shéji Lattice-valued representation of the cut-elimination theorem. 92k:03024 

Rosenthal, Kimmo I. * Quantales and their applications. 92¢:06028 

Wang, Yong Quan The three-valued propositional logic system @Q%. (Chinese. English 
summary) 92m:03031 

Zimmermann-Huisgen, Birge see Bergman, George M., 92b:06014 


03G12 Quantum logic [see also 81P10] 


Bub, Jeffrey The problem of properties in quantum mechanics. 

Dalla Chiara, Maria Luisa Intensions, probabilities, and logical indeterminism in the 
semantics of quantum theory. 92k:03029 

Dvuretenskij, Anatolij (with Képka, Frantisek) On representation theorems for observables 
in weakly complemented posets. 92i:03068 

Garola, Claudio Classical foundations of quantum logic. 92b:03062 

Giuntini, Roberto A semantical investigation on Brouwer-Zadeh logic. 92j:03057 

Jani, Viadimir Notes on sums of Boolean algebras and logics. 92g:03086 

Kopka, Frantisek see Dvuretenskij, Anatolij, 92i:03068 

McGrath, James H. Quantum theory and the lattice join. 92f:03069 

Navara, Mirko (with Riittimann, G.T.) A characterization of o-state spaces of orthomodu- 
lar lattices. 92k:03030 

— Regularity and o-additivity of states on quantum logics. 92i:03069 

Pulmannovd, Sylvia Sum logics and Hilbert space. 92f:03070 

Rogalewicz, Viadimir On generating and concreteness in quantum logics. 92m:03098 

Romén, Leopoldo (with Rumbos, B.) Quantum logic revisited. 92i:03070 

Rumbos, B. see Roman, Leopoldo, 92i:03070 

Riittimann, G. T. see Navara, Mirko, 92k:03030 


Items with secondary classifications in 03G12 


Cattaneo, Gianpiero Quantum fuzzy-intuitionistic (Brouwer-Zadeh) posets. (see 92b:00045) 

Chevalier, G. The relative centre property in orthomodular lattices. (see 92b:00045) 

Chovanec, Ferdinand Compatibility theorem for quasi-orthocomplemented posets. (see 
92b:00045) 

Dvuretenskij, Anatolij Finitely additive Gleason measures. 92h:81020 

— see also Pulmannova, Sylvia, 92i:81025; 92j:81017 and Proceedings: School on Measure 
Theory, 92b:00045 

Finkelstein, David (with Hallidy, W.H.) Q. An algebraic language for quantum-spacetime 
topology. 92f:81023 

Forster, Malcolm Preconditions of predication: from qualia to quantum mechanics. 

Garola, Claudio An extended classical language for the foundation of quantum mechanics. 
92j:81612 

Ginsberg, Matthew L. Bilattices and modal operators. 92c:03020 

Grib, A. A. (with Zapatrin, R. R.) Quantum logical description of two-particle systems. 
92£:81024 

Hallidy, W. H. see Finkelstein, David, 92f:81023 

Ivanov, Al. Orthomodularity, compatibility and commutativity in physical theories. 
92h:81021 

Markechova, Dagmar The entropy on F-quantum spaces. (Russian summary) 92g:81016 

Matveichuk, M.S. The Gleason and Jordan theorems on hyperbolic quantum logics. 
92i:81024 

Navara, Mirko Quantum logics with given automorphism groups, centres and state spaces. 
(see 92b:00045) 

— (with Tkadlec, Josef) Automorphisms of concrete logics. 92f:06012 

Pulmannova, Sylvia (with Dvuretenskij, Anatolij) Sum logics and sums of unbounded 
observables. 92i:81025 

- or Dvuretenskij, Anatolij) On the homomorphisms of sum logics. (French summary) 

:81017 

— see also Rietanova, Zdena, 924:06025 and Proceedings: School on Measure Theory, 

92b:00045 


Pykacz, Jarostaw (with Santos, Emilio) Constructive approach to logics of physical systems: 


application to EPR case. 92a:81011 

— (with Santos, Emilio) Hidden variables in quantum logic approach reexamined. 
92a:81012 

Rietanova, Zdena On the MacNeille completion of (0)-continuous atomic logics. 92e:06024 

— (with Pulmannova, Sylvia) Logics with separating sets of measures. 92d:06025 

Roman, Leopoldo (with Rumbos, B.) A characterization of nuclei in orthomodular and 
quantic lattices. 92f:06013 

Rumbos, B. see Roman, Leopoldo, 92f:06013 

Santos, Emilio see Pykacz, Jarostaw, 92a:81011 and 92a:81012 

Schindler, Christian Quantum logics with the existence property. 92i:81026 

Tkadlec, Josef see Navara, Mirko, 92f:06012 


Trnkova, Véra Automorphisms of orthomodular lattices and symmetries of quantum logics. 
92e:06025 


MATHEMATICAL LOGIC AND FOUNDATIONS 


Zapatrin, R. R. see Grib, A. A., 92£:81024 


Items listed otherwise than by author 
Liptovsky Jan * Proceedings of the Second Winter School on Measure Theory. 92b:00045 
Proceedings: 


School on Measure Theory * Proceedings of the Second Winter School on Measure 
Theory. 92b:00045 
School: 
Measure Theory * Proceedings of the Second Winter School on Measure Theory. 
92b:00045 


03G15 Cylindric and polyadic algebras; relation algebras 

Andréka, Hajnalka One variable is not enough for defining relation algebras, but two are. 
92b:03063 

— see also Monk, J. Donald, (92m:03003) and (92m:03003) 

Cirulis, J. On heterogeneous quantifier algebras. (Russian and Latvian summaries) 
92h:03092 

Crvenkovi¢, Sinisa (with Madardsz, Rozdlia Sz.) On semigroup-relation algebras. 
92d:03043 

— (with Madarasz, Rozalia Sz.) On equational base for Kleene relation algebras. (see 
92m:00061) 

Dintsch, Ivo Smail integral relation algebras generated by a partial order. 92m:03099 

Haeberer, Armando M. see Veloso, Paulo A. S., 92g:03087 

(Henkin, Leon) see Monk, J. Donald, (92m:03003) and (92m:03003) 

Jipsen, Peter (with Lukacs, Erzsébet) Representability of finite simple relation algebras 
with many identity atoms. (see 92m:03003) 

Lukics, Erzsébet see Jipsen, Peter, (92m:03003) 

Madarasz, Rozalia Sz. see Crvenkovi¢, Sinisa, 92d:03043 and (92m:00061) 

Maddux, Roger D. Pair-dense relation algebras. 92c:03070 

Monk, J. Donald Corrections for the books: Cylindric algebras [Part I, North-Holland, 
Amsterdam, 1971; MR 47 #3171; Part IT, 1985; MR 86m:03095b] by L. Henkin, Monk 
and A. Tarski, and Cylindric set algebras [Lecture Notes in Math., 883, Springer, Berlin, 
1981; MR 84a:03078] by Henkin, Monk, Tarski, H. Andréka and I. Németi. (see 
92m:03003) 

— Remarks on the problems in the books: Cylindric algebras [Part I, North-Holland, 
Amsterdam, 1971; MR 47 #3171; Part II, 1985; MR 86m:03095b] by L. Henkin, Monk 
and A. Tarski, and Cylindric set algebras [Lecture Notes in Math., 883, Springer, Berlin, 
1981; MR 84a:03078] by Henkin, Monk, Tarski, H. Andréka and I. Németi. (see 
92m:03003) 

(Németi, Istvan) see Monk, J. Donald, (92m:03003) and (92m:03003) 

Orlowska, Ewa Post relation algebras. 

Plattner, August Zusammenhang zwischen der Theorie F der Faktorenimplikation und 
der Theorie der Zylinderalgebren, Reduktion der Vollstandigkeit der Axiome von F. 
[Connection between the theory F of factorial implication and the theory of cylindric 
algebras; reduction of the completeness of the axioms of F] 92h:03093 

Pratt, Vaughan Dynamic algebras as a well-behaved fragment of relation algebras. 
92h:03094 

Serény, Gyérgy Neatly atomic cylindric algebras and isomorphisms. (see 92m:03003) 

Simon, Andras Finite schema completeness for typeless logic and representable cylindric 
algebras. (see 92m:03003) 

(Tarski, Alfred) see Monk, J. Donald, (92m:03003) and (92m:03003) 

Veloso, Paulo A.S. (with Haeberer, Armando M.) A finitary relational algebra for classical 
first order logic. 92g:03087 


Items listed otherwise than by author 
Problems: 
Algebraic logic Open problems. (see 92m:03003) 


Items with secondary classifications in 03G15 

Andréka, Hajnalka (with Jonsson, Bjarni; Németi, Istvan) Free algebras in discriminator 
varieties. 92j:08012 

Jénsson, Bjarni see Andréka, Hajnalka; et al., 92j:08012 

Németi, Istvan see Andréka, Hajnalka; et al., 92j:08012 


03G20 Lukasiewicz and Post algebras [see also 06D25, 06D30] 


Boicescu, V. (with Filipoiu, Alexandru; Georgescu, G.; Rudeanu, Sergiu) * Lukasiewicz- 
Moisil algebras. 92k:03031 

Figallo, Aldo V. IA;-algebras. 92c:03071 

Filipoiu, Alexandru see Boicescu, V.; et al., 92k:03031 

Georgescu, G. see Boicescu, V.; et al., 92k:03031 

(Lukasiewicz, J.) see Boicescu, V.; et al., 92k:03031 

(Moisil, Gr. C.) see Boicescu, V.; et al., 92k:03031 

Rudeanu, Sergiu see Boicescu, V.; et al., 92k:03031 


Items with secondary classifications in 03G20 

de Glas, Michel A representation theory for rings of finite characteristics. (Russian 
summary) 92g:06016 

Hautamaki, Antti Partial information and finite approximation of truth. (Russian) 
92a:03040 

Ortowska, Ewa Post relation algebras. 

(Shalak, V.1.) see Hautamaki, Antti, 92a:03040 


03G25 Other algebras related to logic [see also 06F35] 
Belluce, L. P. (with Di Nola, Antonio; Lettieri, A.) On some lattice quotients of MV- 
algebras. 92f:03071 


— (with Di Nola, Antonio; Sessa, Salvatore) Triangular norms, MV-algebras and bold fuzzy 
set theory. 92g:03088 





95 1992 


Deng, Fang An see Jiang, Hao; et al. 

Di Nola, Antonio see Belluce, L. P.; et al., 92f:03071 and 92g:03088 

Font i Liovet, Josep Ma. (with Rodriguez, Gonzalo) Note on algebraic models for relevance 
logic. 92h:03095 

Garcia Lapresta, José Luis Study of various algebraizable implicational logical calculi. 
(Spanish. English summary) (see 92m:00048) 

Idziak, Pawel M. Elementary theory of free Heyting algebras. 92c:03072 

Jiang, Hao (with Deng, Fang An) Relations between fuzzy implication algebras and 
bounded BCK-algebras. (Chinese. English summary) 

Khomich, V. I. On the embedding of implicators. (Russian) 92e:03092 

Lettieri, A. see Belluce, L. P.; et al., 92f:03071 

Rodriguez, Gonzalo see Font i Liovet, Josep Ma., 92h:03095 

Rodriguez Salas, Antonio Jestis Subvarieties of Hilbert algebras. (Spanish) 924:03044 

Sain, Ildiké Beth’s and Craig’s properties via epimorphisms and amalgamation in algebraic 
logic. 92g:03089 

Sanchez-Mazas, Miguel Théories syllogistiques et déontiques analysées comme structures 
algébriques. [Syllogistic and deontic theories analyzed as algebraic structures] 92c:03073 

Sessa, Salvatore see Belluce, L. P.; et al., 92g:03088 

Torrens Torrell, Antoni Boolean products of CW-algebras and pseudo pl 
92a:03078 


Items with secondary classifications in 03G25 

Ahmad, Bashir see Bhatti, Shaban Ali; et al. 

Ahsan, J. (with Deeba, Elias Y.; Thaheem, A. B.) On prime ideals of BCK-algebras. 
92:06018 

Anshakov, O. M. (with Rychkov, S. V.) Many-valued logics and their algebras. (Russian) 
92i:03019 

Aslam, M. (with Thaheem, A. B.) A note on p-semisimple BCI-algebras. 92a:06023 

— (with Thaheem, A. B.) On certain ideals in BCK-algebras. 92g:06030 

Bethke, Inge Finite type structures within combinatory algebras. 92m:03014 

Bhatti, Shaban Ali Strong ideals and quotient algebras of BCI-algebras. 

— (with Chaudhry, Muhammad Anwar; Ahmad, Bashir) Obstinate ideals in BCI-algebras. 

— On some ideals in BCI-algebras. 92¢:06041 

— (with Chaudhry, Muhammad Anwar) On weak mappings of BCI-algebras. 92a:06024 

— Closedness and openness of ideals in BCI-algebras. 

— (with Chaudhry, Muhammad Anwar) Annihilators and duality in BCI-algebras. 

— (with Chaudhry, Muhammad Anwar) Characterizations of BCI-algebras with weak unit. 

— Equivalents of strong and regular ideals in BCI-algebras. 

Blyth, T.S. (with Hansoul, G.; Varlet, J.C.) The dual space of a double MS-algebra. 
92a:06011 

Bugneag, Dumitru  -multipliers and the localization of Hilbert algebras. 92b:06016 

Cattaneo, Gianpiero Quantum fuzzy-intuitionistic (Brouwer-Zadeh) posets. (see 92b:00045) 

Chaudhry, Muhammad Anwar (with Zaidi, Arfan Hussain) On centre and regular 
congruences on BCI-algebras. 

— On BCH-algebras. 92¢:06042 

— Branchwise commutative BCI-algebras. 92i:06030 

— see also Bhatti, Shaban Ali, 922:06024 

Chen, Wei (with Wu, Wang Ming) Characteristics of full-involutorial BCK-algebras. 
(Chinese. English summary) 924:06042 

Chen, Zhao Mu (with Wang, Hua Xiong) P-endomorphisms of BCI-algebras. (Chinese. 
English summary) 

— (with Wang, Hua Xiong) Closed ideals and congruences on BCI-algebras. 92g:06031 

— (with Wang, Hua Xiong) On ideals in BCI-algebras. 92b:06043 

— (with Wang, Hua Xiong) On simple BCI-algebras. 92¢:06043 

Dai, Yue Jin The structure of BCI-algebra modules. (Chinese. English summary) 92¢:06044 

Dar, Karamat H. Embedding of a medial BCI-algebra in a medial (r, /)-system. 

Deeba, Elias Y. see Ahsan, J.; et al., 92f:06018 

Dunn, J. Michael Gaggle theory: an abstraction of Galois connections and residuation, with 
applications to negation, implication, and various logical operators. 92j:03014 

Engeler, Erwin Zur wi haftsth i Bedeutung der kombinatorischen Algebra. 
[On the significance of combinatory algebra for the theory of science] 92m:03016 

Giuntini, Roberto A semantical investigation on Brouwer-Zadeh logic. 92j:03057 

Guzmén, Fernando The implications in conditional logic. 92e:03028 

— (with Lynch, Christopher) Varieties of positive implicative BCK-algebras subdirectly 
irreducible and free algebras. 92j:06023 

Katarzyna A note on matrices for systems of nonsense-logics. 92b:03028 

Hansoul, G. Congruence-distributive Heyting spaces. 92c:06007 

— see also Siyth, T. S.; et al., 922:06011 

Hoo, C.S. MV- and BCK-algebras and some applications. 92g:06033 

— MV- and BCK-algebras on posets. 92g:06034 

— Filters and ideals in BCI-algebras. 92h:06014 

— Unitary extensions of MV- and BCK-algebras. 92m:06034 

Hoofman, Raymond (with Schellinx, Harold) Collapsing graph models by preorders. (see 

) 











92g:68005 

Huang, Wen Ping Nil-radical in BCI-algebras. 

Idziak, Pawel M. Decision problem for finite equivalential algebras. 

Jiang, Hao Computational methods in the study of finite BCK-algebras with low orders. 
92g:06032 

— An extension of BCK-algebras. I. (Chinese. English summary) 

Kondo, Michiro Left regular maps in BCK-algebra. 92b:06044 

Lin, Da Hua The periods of elements in BCI-algebras. (Chinese. English summary) 

Lin, Yuan Hong The relationships between BCK-algebras and Griss type algebras. 
92¢:06045 

— Some results on BCK-algebras. 92m:06035 

Liu, Gui Long Some notes on BCK algebras. (Chinese. English summary) 

Lynch, Christopher see Guzman, Fernando, 92j:06023 

Martinez, N. G. The Priestley duality for Wajsberg algebras. 92a:06012 

Meng, Jie Some results on obstinate ideals for BCK-algebras. (Chinese. English summary) 

— (with Xin, Xiao Long) Characterizations of atoms in BCI-algebras. 

— (with Xin, Xiao Long) Commutative BCI-algebras. 


03G Algebraic logic 


03G30 


Ouyang, Bai Yu Noncommutative positive implicative BCK-algebras. (Chinese. English 
summary) 924:06043 

Pratt, Vaughan Dynamic algebras as a well-behaved fragment of relation algebras. 
92h:03094 

Raftery, James G. (with Sturm, Teo) Completions of uniform universal algebras and 
strongly uniform BCK-algebras. 92g:06036 

— (with Sturm, Teo) On direct products of BCK-chains. 922:06025 

— (with Rosenberg, Ivo G.; Sturm, Teo) Tolerance relations and BCK-algebras. 92g:06035 

Ren, Jian Hua see Zhao, Xian Zhong; et al., 92d:06044 

Rosenberg, Ivo G. Mal'cev algebras for universal algebra terms. 92b:08011 

— see also Raftery, James G.; et al., 92g:06035 

Rychkov, S. V. see Anshakov, O. M., 92i:03019 

Schellinx, Harold see Hoofman, Raymond, (92g:68005) 

Sturm, Teo see Raftery, James G., 92a:06025; 92g:06035 and 92g:06036 

Tan, Zhi Song On finite regular BCI-algebras. 92g:06037 

Thaheem, A. B. see Aslam, M., 92a:06023; Ahsan, J.; et al., 92f:06018 and Aslam, M., 
92g:06030 

Varlet, J.C. see Blyth, T. S.; et al., 92a:06011 

Wan, Hong Hui Algebraic properties of interval algebras. 92m:06024 

Wang, Hua Xiong see Chen, Zhao Mu, 92b:06043; 92e:06043and 92g:06031 

Wu, Wang Ming see Chen, Wei; et al., 92d:06042 

Xi, Ou Gen Fuzzy BCK-algebra. 92g:06038 

Xie, Kai Duan Antisimple BCK-algebras. (Chinese. English summary) 92¢:06046 

Xin, Xiao Long see Meng, Jie 

Zaidi, Arfan Hussain see Chaudhry, Muhammad Anwar 

Zhang, Qun Some other characterizations of p-semisimple BCI-algebras. 92g:06039 

— Aclutching in the BCI category. 

— On branches of BCI-algebras. 

— Extensions of BCI-algebras. 

— BCl-algebras with weak units. 

Zhang, Xiao Hong Another P-semisimple quotient algebra of a BCI-algebra. (Chinese. 
English summary) 

Zhao, Xian Zhong (with Ren, Jian Hua) On a conjecture of Graham. (Chinese. English 
summary) 92d:06044 

Zhu, Yi Quan Solvable BCI-algebras. 92g:06040 


03G30 Categorical logic, topoi [see also 18B25] 


Drucker, Thomas History and grammar. 92j:03058 

Hohle, Ulrich Monoidal closed categories, weak topoi and generalized logics. 92i:03071 
Lambek, Joachim Categorical versus algebraic logic. (see 92m:03003) 

McLarty, Colin Stable surjection logic. (French summary) 92a:03079 


Items with secondary classifications in 03G30 


Barr, Michael Accessible categories and models of linear logic. 92a:03043 

Blute, Richard Proof nets and coherence theorems. (see 92g:68005) 

Borceux, Francis (with Pedicchio, Maria Cristina; Rossi, Fabio) Boolean algebras in a 
localic topos. 92b:18002 

Coquand, Thierry A direct proof of the intuitionistic Ramsey theorem. (see 92g:68005) 

Gavioli, Norberto 7 -matrices over a topos. 92e:18004 

Guts, A. K. A topos-theoretic approach to the foundations of relativity theory. (Russian) 
92m:83083 

Heller, Alex An existence theorem for recursion categories. 92e:03067 

(Hohle, Ulrich) see Applications of category theory to fuzzy subsets, 92k:04006 

Hyland, J. M. E. Computing and foundations. (see 92h:00013) 

Isbell, John First steps in descriptive theory of locales. 92b:54078 

Jacobs, Bart (with Moggi, Eugenio; Streicher, Thomas) Relating models of impredicative 
type theories. (see 92g:68005) 

Jay, C. Barry Languages for triples, bicategories and braided monoidal categories. (French 
summary) 92e:18003 

Joyal, André (with Moerdijk, Ieke) A categorical theory of cumulative hierarchies of sets. 
92c:18002 

(Klement, Erich Peter) see Applications of category theory to fuzzy subsets, 92k:04006 

Longo, Giuseppe! (with Moggi, Eugenio) Constructive natural deduction and its “w-set” 
interpretation. 92j:03004 

McLarty, Colin The uses and abuses of the history of topos theory. 92b:01044 

Mendler, Paul see Panangaden, Prakash; et al., 92e:68115 

Meng, Xiao Qing A brief introduction to topos theory. (Chinese. Eng!ish summary) 

Mitchell, John C. (with Moggi, Eugenio) Kripke-style models for typed lambda calculus. 
92a:03017 

Moerdijk, Ieke The classifying topos of a continuous groupoid. II. (French summary) 
92c:18003 

— see also Joyal, André, 92c:18002 

Moggi, Eugenio see Mitchell, John C., 92a:03017; Longo, Giuseppe’ , 92j:03004 and Jacobs, 
Bart; et al., (92g:68005) 

Panangaden, Prakash (with Mendler, Paul; Schwartzbach, Michael I.) Recursively defined 
types in constructive type theory. 92¢:68115 

Pedicchio, Maria Cristina see Borceux, Francis; et al., 92b:18002 

Phoa, Wesley Two results on set-theoretic polymorphism. (see 92g:68005) 

Reyes, Gonzalo E. A topos-theoretic approach to reference and modality. 92m:03039 

(Rodabaugh, Stephen Ernest) see Applications of category theory to fuzzy subsets, 92k:04006 

Rossi, Fabio see Borceux, Francis; et al., 92b:18002 

Schwartzbach, Michael I. see Panangaden, Prakash; et al., 92e:68115 

Stout, Lawrence Neff A survey of fuzzy set and topos theory. 92h:03087 

Streicher, Thomas see Jacobs, Bart; et al., (92g:68005) 

Taylor, Paul An algebraic approach to stable domains. 92c:18009 

Thiopoulos, Constantin Meaning metamorphosis in the semiotic topos. 

Wyler, Oswald * Lecture notes on topoi and quasitopoi. 92c:18004 





03G30 


Items listed otherwise than by author 

Applications of category theory to fuzzy subsets * Applications of category theory to fuzzy 
subsets. 92k:04006 

Linz * Applications of category theory to fuzzy subsets. 92k:04006 

Seminar: 
Fuzzy Set Theory * Applications of category theory to fuzzy subsets. 92k:04006 


03G99 None of the above, but in this section 


Items with secondary classifications in 03G99 

Font i Llovet, Josep Ma. (with Verdi, Ventura) Algebraic logic for some nonprotoalgebraiz- 
able logics. (see 92m:03003) 

Verdu, Ventura see Font i Lilovet, Josep Ma., (92m:03003) 


03Hxx Nonstandard models [see also 03C62] 


03H05 Nonstandard models in mathematics [see also 26E35, 
28E05, 30G06, 46S20, 47820, 54305] 


Bobo, Seke Quelques histoires simples pour Héléne. [Some simple stories for Helen] 
92g:03090 

Chen, Guang Yi (with Shen, Cheng Min) Extension of Abel’s first theorem to the hyperreal 
field R*. (Chinese. English summary) 

Haddad, Labib La double ultrapuissance. [The double ultrapower] 92k:03032 

Herrmann, Robert A. Consecutive points and nonstandard analysis. 92b:03064 

Kudrik, T.S. (with Lyantse, V.E.) Near-standardness. (Russian) 92i:03072 

Kusraev, A. G. (with Kutateladze, S. S.) * Hecrangzaprusie MeTogpbl aHasu3a. (Russian) 
[Nonstandard methods of analysis] 92c:03074 

Kutateladze, S.S. see Kusraev, A. G., 92c:03074 

Li, Bang He Generic points in algebraic geometry and Loeb measures. 92¢:03093 

Lyantse, V. E. see Kudrik, T. S., 92i:03072 

Molchanov, V. A. Nonstandard varieties of pseudotopological algebraic systems. (Russian) 
92m:03100 

Neves, Vitor Smoothness from finite points. 92i:03073 

Péraire, Yves Extensions ajustées d’une superstructure. Formalisation. [Adjusted extensions 
of a superstructure. Formalization] 92f:03072 

— Saturation des *ultrapuissances d’une superstructure, idéalisation relative avec 
paramétres. (English summary) [Saturation of the *ultrapowers of a superstructure, rel- 
ative idealization with parameters] 92g:03091 

Shen, Cheng Min see Chen, Guang Yi; et al. 

Zivaljevié, Bosko The structure of graphs all of whose Y-sections are internal sets. 
92j:03059 

— U-meager sets when the cofinality and the coinitiality of U are uncountable. 92k:03033 

— Hyperfinite transversal theory. 92f:03073 


Items with secondary classifications in 03H05 

Akiyama, Hiroshi Applications of nonstandard analysis to stochastic flows and heat kernels 
on manifolds. 92f:58197 

Artigue, M. (with Gautheron, V.; Isambert, E.) Une notion non standard d’attracteurs: les 
fleuves. [A nonstandard notion of attractors: rivers] 92e:58126 

Bayod, José Manuel (with Masa, M. Concepcién) Chebyshev coefficients for L'-preduals 
and for spaces with the extension property. 92b:46018 

Bebbouchi, Rachid Problémes physiques du troisitme ordre. [Third-order physical 
problems] 92g:34058 

Belikov, S. A. (with Samborskii, S. N.) “Canard”-cycles of fast-slow fields with a one- 
dimensional slow component. (Russian) 92f:34050 

Benhabib, Kety Approximation de la fonction y(t) = (1 + t2)~'/?, p € N*, par une suite de 
polynémes. [Approximation of the function y(t) = (1 + #2)-'/?, p € N*, by a polynomial 
sequence] 92j:41014 

(Benoit, E.) see Dynamic bifurcations, 92m:58034 

Bertoglio, Néstor (with Martinez, Servet A.) Simple nests invariant by compact selfadjoint 
operators: a nonstandard approach. 92j:47069 

Blais, Francois Fleuves critiques. (English summary) [Critical rivers] 92k:58220 

— Théoréme d’existence de fleuves. (English summary) [Existence theorem for rivers] 
92h:58162 

Burgin, M.S. Hypermeasures and hyperintegration. (Russian. English summary) 
92a:46052 

Callot, Jean-Louis Analyse approximative. [Approximative analysis] 92f:26045 

Canela, M. A. (with Rallé, M.) Representation of linear functionals on E’ as finite elements 
of *Ew. (Italian summary) 92¢:46096 

Capitiski, Marek (with Cutland, Nigel J.) Statistical solutions of PDEs by nonstandard 
densities. 92h:35005 

Chiswell, I. M. Nonstandard analysis and the Morgan-Shalen compactification. 92h:57002 

Cutland, Nigel J. see Capiriski, Marek, 92h:35005 

Drossos, C. A. (with Markakis,G.) Boolean fuzzy sets. 92m:03090 

Fruchard, Augustin Canards discrets. (English summary) [Discrete canards] 92m:58099 

Gautheron, V. see Artigue, M.; et al., 92e:58126 

Gopala Krishna, J. (with Usha Sree Devi, S.) Nonstandard methods in asymptotic analysis. 
92¢:41025 

Gordon, E. I. Hyperfinite approximations of locally compact abelian groups. (Russian) 
92h:43012 

— On Loeb measures. (Russian) 92j:28010 

— Nonstandard analysis and compact abelian groups. (Russian) 92m:22002 

Grenier, Jean-Pierre Applications internes croissantes. L’espace des compacts. [Increasing 
internal mappings. The space of compact subsets] 92b:54088 

Hoskins, Roy Frank (with de Sousa Pinto, J.) A nonstandard realization of the J. S. Silva 
axiomatic theory of distributions. 92j:46066 


MATHEMATICAL LOGIC AND FOUNDATIONS 


1992 96 


Impens, Chris Les polynémes non standard. (English summary) [Nonstandard polynomials] 
92:26046 

Isambert, E. see Artigue, M.; et al., 92e:58126 

Kachurovskii, A.G. Boundedness of the fluctuation of mean sequences in the ergodic 
Birkhoff-Khinchin theorem. (Russian) 92c:28012 

Kadelburg, Zoran (with Radenovi¢, Stojan) On ultrapowers of linear topological spaces 
without convexity conditions. 924:46008 

Kuribayashi, Yukio Hyperfunctions and generalized functions. 92k:46068 

Kutateladze, S.S. Directions in nonstandard analysis. (Russian) 92c:01034a 

— Credenda of nonstandard analysis [translation of Trudy Inst. Mat. (Novosibirsk) 14 
(1989), Sovrem. Probl. Geom. Analiz., 153-182; MR 92c:01034a]. 92¢:01034b 

Landers, Dieter (with Rogge, Lothar) Inner and outer Banach-valued Loeb-measures. 
92i:28022 

— (with Rogge, Lothar) Pointwise measurability in nonstandard models. 92¢:28014 

Lyantse, V. E. The Stokes formula for functions of a discrete argument. (Russian. English 
summary) 92m:26018 

Mahoney, Michael S. Infinitesimals and transcendent relations: the mathematics of motion 
in the late seventeenth century. 92h:01019 

Markakis, G. see Drossos, C. A., 92m:03090 

Martinez, Servet A. see Bertoglio, Néstor, 92j:47069 

Masa, M. Concepcién see Bayod, José Manuel, 92b:46018 

Mendieta, G. R. Stopped hyperfinite filtrations. 92g:60050 

Ng, Siu-Ah A new proof of Kelley’s theorem. 92k:28010 

Osswald, Horst (with Sun, Yeneng) On the extensions of vector-valued Loeb measures. 
92g:28041 

Pestov, V.G. Nonstandard hulls of normed Grassmann algebras and their applications in 
superanalysis. (Russian) 92f:58020 

Povolotskii, A. I. (with Sviridyuk, G. A.) Some nonstandard structures in normed vector 
spaces. (Russian) (see 92g:47001) 

Radenovi¢, Stojan see Kadelburg, Zoran, 92d:46008 

Rallé, M. see Canela, M. A., 92g:46096 

Rogge, Lothar see Landers, Dieter, 92e:28014 and 92i:28022 

Ross, David Andrew Compact measures have Loeb preimages. 92i:28023 

Rubio, J. E. A nonstandard characterization of realcompactness. 92k:54023 

Samborskii, S. N. see Belikov, S. A., 92f:34050 

de Sousa Pinto, J. see Hoskins, Roy Frank, 92j:46066 

Sun, Guang Run see Xu, Li Zhi; et al., 92d:26038 

Sun, Yeneng see Osswald, Horst, 92g:28041 

Sviridyuk, G. A. see Povolotskii, A. I., (92g:47001) 

Todorov, Todor D. Pointwise kernels of Schwartz distributions. 92f:46047 

Usha Sree Devi, S. see Gopala Krishna, J., 92e:41025 

Wallet, Guy Surstabilité pour une équation différentielle analytique en dimension un. 
(English summary) [Superstability for an analytic differential equation in dimension one] 
92¢:34061 

Xu, Li Zhi (with Sun, Guang Run) The quasi-Duhamel principle and its applications. 
(Chinese summary) 924:26038 

Yasumoto, Masahiro Nonstandard arithmetic of Hilbert subsets. 92f:12017 

Zivaljevi¢é, Bosko Some results about Borel sets in descriptive set theory of hyperfinite sets. 
92g:03075 

— Uniqueness of unbounded Loeb measure using Choquet’s theorem. 92m:28025 


Items listed otherwise than by author 
Colloquium: 

Micro- and Macroscopic Phenomena * 2° Colloque “Phénoménes Micro et Macro- 
scopiques”. (French) [Second Colloquium on Micro- and Macroscopic Phenomena] 
92d:00024 

Conference: 
Dynamic Bifurcations * Dynamic bifurcations. 92m:58034 

Dynamic bifurcations * Dynamic bifurcations. 92m:58034 

Lecture Notes in Mathematics * Dynamic bifurcations. 92m:58034 

Luminy * Dynamic bifurcations. 92m:58034 

Oran * 2° Colloque “Phénoménes Micro et Macroscopiques”. (French) [Second Collo- 
quium on Micro- and Macroscopic Phenomena] 924:00024 


03H10 Other applications of nonstandard models (economics, 
physics, etc.) 


Items with secondary classifications in 03H10 

Bebbouchi, Rachid Problémes physiques du troisi¢me ordre. [Third-order physical 
problems] 92g:34058 

Keisler, H. Jerome A law of large numbers for fast price adjustment. 92j:90012 

Mahoney, Michael S. Infinitesimals and transcendent relations: the mathematics of motion 
in the late seventeenth century. 92h:01019 

Nagamachi, Shigeaki (with Nishimura, Takeshi) Nonstandard analysis of linear canonical 
transformations on a fermion Fock space with an indefinite metric. 92m:81294 

Nakamura, Touru A nonstandard representation of Feynman’s path integrals. 92a:81103 

Nishimura, Takeshi see Nagamachi, Shigeaki, 92m:81294 

Segel, Lee A. The infinite and the infinitesimal in models for natural phenomena. 
92b:00019 

Woiniak, Czestaw On the micromechanical modelling of solids: an application of Q- 
calculus. (see 92g:73003) 

Yakovlev, V. F. A two-level representation of a functional system in a hyper-real space. 
(Russian) 


03H15 Nonstandard models of arithmetic [see also 11U10, 
12115, 13L05] 


Adamowicz, Zofia End-extending models of [Ap + exp +BZ;. 92j:03060 





97 1992 


Kaye, Richard William * Models of Peano arithmetic. 92k:03034 
Ketlarski, Henryk On the end extension problem for Ap-PA(S). 92¢:03094 
McLaughlin, Thomas G. Sub-arithmetical ultrapowers: a survey. 92k:03035 
Solovay, Robert M. Injecting inconsistencies into models of PA. 92¢:03075 


Items with secondary classifications in 03H15 


Chong, C. T. (with Mourad, K. J.) The degree of a £, cut. 92f:03067 

Kotlarski, Henryk (with Ratajczyk, Zygmunt) Inductive full satisfaction classes. 92b:03058 

Maté, Attila Nondeterministic polynomial-time computations and models of arithmetic. 
92¢:03046 

Mourad, K. J. see Chong, C. T., 92f:03067 

Mourgues, M.-H. (with Ressayre, Jean-Pierre) An application of Mal’cev’s series to 
polynomial time computability. (French. English summary) (see 92g:03005) 

Ratajczyk, Zygmunt see Kotlarski, Henryk, 92b:03058 

Ressayre, Jean-Pierre see Mourgues, M.-H., (92g:03005) 

Sgall, Jiti (with Sochor, Antonin) Revealed automorphisms. 92g:03079 

Sochor, Antonin see Sgall, Jiti, 92g:03079 


04-XX Set theory [see also 03Exx] 


04-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 04-00 

Dubois, Didier (with Prade, Henri; Sessa, Salvatore) Recent literature. 
Prade, Henri see Dubois, Didier, et al. 

Sessa, Salvatore see Dubois, Didier; et al. 


Items listed otherwise than by author 


Bibliography: 
Fuzzy sets and systems see Dubois, Didier; et al. 


04-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Bernays, Paul * Axiomatic set theory. 92a:04001 
(Fraenkel, Abraham A.) see Bernays, Paul, 92a:04001 
Potter, Michael D. * Sets. 92c:04001 


04-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Blizard, Wayne D. The development of multiset theory. 92i:04001a 
— Correction to: “The development of multiset theory”. 92i:04001b 
Frapolli, Maria J. Is Cantorian set theory an iterative conception of set? (Spanish summary) 


92g:04001 


Items with secondary classifications in 04-03 

Anellis, Irving H. Schréder material at the Russell archives. 92f:01022 

Bolzano, Bernard * Las paradojas del infinito. (Spanish) [Paradoxes of the infinite] 
92g:01106 

Brunning, Jacqueline C.S. Peirce’s relative product. 92i:01016 

Gray, Jeremy Did Poincaré say “set theory is a disease”? 92c:01028 

Peckhaus, Volker * Hilbertprogramm und Kritische Philosophie. (German) [The Hilbert 
program and critical philosophy] 92g:01054 

(Peirce, Charles S.) see Brunning, Jacqueline, 92i1:01016 

(Poincaré, Henri) see Gray, Jeremy, 92c:01028 

(Prihonsky, Fr.) see Bolzano, Bernard, 92g:01106 

(Russell, Bertrand A. W.) see Anellis, Irving H., 92f:01022 

(Schroder, Ernst) see Anellis, Irving H., 92f:01022 

(Sebestik, Jan) see Bolzano, Bernard, 92g:01106 

(Segura, Luis Felipe) see Bolzano, Bernard, 92g:01106 

Simms, John C. Sierpinski’s theorem. 92j:01052 


04-06 Proceedings, conferences, collections, etc. 


(Hirota, Kaoru) see Symposium: Fuzzy Systems and Applications, 92g:04002 

(Koéczy, L.T.) see Symposium: Fuzzy Systems and Applications, 92g:04002 

Items listed otherwise than by author 

Budapest * Joint Hungarian-Japanese Symposium on Fuzzy Systems and Applications. 
92g:04002 

Symposium: 
Fuzzy Systems and Applications * Joint Hungarian-Japanese Symposium on Fuzzy 

Systems and Applications. 92g:04002 


Items with secondary classifications in 04-06 
(Yamakawa, Takeshi) see Applications of fuzzy systems theory, 92a:04013 


Items listed otherwise than by author 
Applications of fuzzy systems theory * Applications of fuzzy systems theory. 92a:04013 
lizuka * Applications of fuzzy systems theory. 92a:04013 
Special Issue: 
Applications of fuzzy systems theory * Applications of fuzzy systems theory. 92a:04013 


SET THEORY 


04A15 


Visegrad * Third IFSA-EC and EURO-WGFS Workshop on Fuzzy Sets. 92k:04007 
Workshop: 
Fuzzy Sets * Third IFSA-EC and EURO-WGFS Workshop on Fuzzy Sets. 92k:04007 
Fuzzy System Applications * Applications of fuzzy systems theory. 92a:04013 


04A05 Relations, functions [see also 08A02] 


Backhouse, Roland C. On a relation on functions. (see 92i:68005) 

Bankovi¢, Dragi¢é All general solutions of finite equations. 92c:04002 

Diasamidze, Ya. I. The structure of idempotent binary relations. (Russian) 92c:04003 

Frasnay, Claude Détermination du degré optimal d,, de monomorphie pour les structures 
relationnelles au plus m-aires. [Determination of the optimal degree d,, of monomorphy 
for at most m-ary relational structures] 92g:04003 

Gnitka, Stanislaw * Operators and topologies in relational systems. 92f:04001 

Ile, Pierre Cl6oture intervallaire et extension logique d’une relation. [Interval closure and 
logical extension of a relation] 92b:04001 

Wymann-Béni, M. Kanonische Codierungen von N*. [Canonical codings of N*] 


Items with secondary classifications in 04A05 

Brunning, Jacqueline C. S. Peirce’s relative product. 92i:01016 

Coquand, Thierry A direct proof of the intuitionistic Ramsey theorem. (see 92g:68005) 

Czajsner, Jerzy Subrelations of physical relations. 92d:08001 

— Physical relations and their abstraction properties. 92d:08002 

— A Cartesian product of physical relations. 92d:08003 

van Deemen, A. M. A. A note on generalized stable sets. 92d:05067 

Diasamidze, Ya. I. One-sided units of a subset of a semigroup of binary relations. (Russian. 
Ukrainian summary) 92a:20063 

Foster, Andrew Another semigroup of complexity n — 1. 92c:20122 

Gajek, L. (with Zagrodny, D.) Existence of maximal points with respect to ordered 
bipreference relations. 92g:90017 

Huang, Wen Chao Green’s relation for sandwich semigroups of binary relations. (Chinese. 
English summary) 

Muthuvel, Kandasamy Nowhere dense set mappings on the generalized linear continua. 
92a:04007 

(Peirce, Charles S.) see Brunning, Jacqueline, 92i:01016 

Reverdy-Vilotitch, F. La reconstruction au sens de Ulam de certaines multirelations binaires. 
(English summary) [Reconstruction in the sense of Ulam of certain binary polyadic 
relations] 92m:08003 

Sauer, Norbert W. (with Stone, M. G.) Composing functions to reduce image size. 
924:05173 

Shin, Sun-Joo A situation-theoretic account of valid reasoning with Venn diagrams. (see 
92m:68006) 

Smarda, Bohumil Polarities on algebraical structures. (Russian and Slovak summaries) 
92f:08001 

Stone, M. G. see Sauer, Norbert W., 92d:05173 

Zagrodny, D. see Gajek, L., 92g:90017 

Zizovié, Malisa R. On some generalizations of ordering relations. 92b:06006 


04A10 Ordinal and cardinal numbers; generalizations 
[see also 03E10] 


Dehornoy, Patrick A coding of the countable linear orderings. 92h:04001 

Huang, Zhong Qi Classes of ordinals and ordinal exponentiation. (Chinese) 

Smullyan, Raymond M. Some new double induction and superinduction principles. 
92d:04001 


Items with secondary classifications in 04A10 


Barbanel, Julius B. Almost hugeness and a related notion. 92j:03048 

Burke, Maxim R. (with Magidor, Menachem) Shelah’s pcf theory and its applications. 
92£:03053 

Dikranjan, Dikran N. (with Shakhmatov, D. B.) Critical power of minimality of topological 
groups close to being compact. 92i:22002 

Gauthier, Henri Simplification pour les produits lexicographiques d’ordres totaux. 
[Simplication for lexicographic products of total orderings] 92b:03046 

Huhn, A. P. Well-orderings which are tight relative to a prescribed distance function. 
92j:04002 

Magidor, Menachem see Burke, Maxim R., 92f:03053 

Milner, Eric C. Ordered graphs without infinite paths. 92c:04004 

Shakhmatov, D. B. see Dikranjan, Dikran N., 92i:22002 

Shelah, Saharon Cardinal arithmetic for skeptics. 92h:03071 


04A15 Descriptive set theory; Borel classifications, Suslin 
schemes, etc. [see also 03E15, 26A21, 28A05, 54H05] 


Balcerzak, Marek On o-ideals having perfect members in all perfect sets. 92a:04002 

Brown, Jack B. The Ramsey sets and related sigma algebras and ideals. 92a:04003 

Cichoni, J. (with Morayne, Michal; Pawlikowski, Janusz; Solecki, S.) Decomposing Baire 
functions. 92j:04001 

Morayne, Michat Complements of sets in abstract Borelian hierarchies. 92g:04004 

— see also Cichon, J.; et al., 92j:04001 

Pawlikowski, Janusz see Cichon, J.; et al., 92j:04001 

Ramsamujh, T. 1. The complexity of everywhere divergent Fourier series. 92g:04005 

Solecki, S. see Cichon, J.; et al., 92j:04001 


Items with secondary classifications in 04A15 

Bagemihl, Frederick Independent sets and second category. 92e:04001 

Csaszar, A. Extensions of discrete and equal Baire functions. 92f:26006 

Dehornoy, Patrick A coding of the countable linear orderings. 92h:04001 

Foreman, Matthew (with Wehrung, Friedrich) The Hahn-Banach theorem implies the 
existence of a non-Lebesgue measurable set. 92m:03077 





04A15 


Gardner, Richard J. (with Pfeffer, Washek F.) A note on small and other singular sets. 
92h:26002 

Godefroy, Gilles On coanalytic families of sets in harmonic analysis. 92b:43011 

Jackson, Stephen Craig (with Mauldin, R. Daniel) Nonuniformization results for the 
projective hierarchy. 92j:03046 

Kary-Niyazov, Sh. Sh. Classes of co-absoluteness of Borel and hyper-Borel sets. (Russian) 
92a:54031 

Kaufman, Robert P. Continuous measures and analytic sets. 92e:43002 

— Sequence spaces and analytic sets. 92j:46025 

Kechris, Alexander S. (with Louveau, Alain) Covering theorems for uniqueness and 
extended uniqueness sets. 92d:43006 

Kharazishvili, A.B. Luzin spaces and Bernstein sets. (Russian. English and Georgian 
summaries) 92b:54079 

Kirchheim, Bernd Solution of two problems concerning F-sigma sets of measure zero. 
92a:28003 

Louveau, Alain see Kechris, Alexander S., 924:43006 

Maitra, Ashok (with Pestien, Victor; Ramakrishnan, S.) Domination by Borel stopping 
times and some separation properties. 92i:54039 

Mauldin, R. Daniel see Jackson, Stephen Craig, 92j:03046 

Perron, Daniel Delta systtmes dans la hiérarchie projective. (English summary) [Delta 
systems in the projective hierarchy] 92¢e:03071 

Pestien, Victor see Maitra, Ashok; et al., 92i:54039 

Pfeffer, Washek F. see Gardner, Richard J., 92h:26002 

Ramakrishnan, S. see Maitra, Ashok; et al., 92i:54039 

Ramsamujh, T. I. Three ordinal ranks for the set of differentiable functions. 92h:26010 

Repicky, Miroslav Additivity of porous sets. 92a:26011 

Sarbadhikari, H. (with Srivastava, S.M.) Random theorems in topology. 92j:54024 

Shortt, R. M. Normal subgroups of measurable automorphisms. 92d:54051 

Srivastava, S.M. see Sarbadhikari, H., 92j:54024 

Vaaninen, Jouko A Cantor-Bendixson theorem for the space 

Wehrung, Friedrich see Foreman, Matthew, 92m:03077 

Wilson, Terence E. A fugue on Bernstein sets. 92b:28003 


w®'. 92h:03074 


04A20 Combinatorial set theory [see also 03E05, 05A05); filters 


Abel, U. (with Misfeld, J.) Congruences in decompositions of the real and rational 
numbers. (Italian summary) 92f:04002 

Abian, Alexander A lemma for incompleteness of nonprincipal ultrafilters. 92a:04004 

Bagemihl, Frederick Independent sets and second category. 92e:04001 

Di Prisco, Carlos Augusto (with Henle, James; Méndez, Gisela) Bases for the closed 
unbounded filter. (Russian summary) 92i:04002 

van Douwen, Eric K. The number of cofinal ultrafilters. 92f:04003 

Gibbon, Greg Intersection properties of partitions of a cardinal. 92¢:04002 

Henle, James see Di Prisco, Carlos Augusto; et al., 92i:04002 

Huhn, A. P. Well-orderings which are tight relative to a prescribed distance function. 
92j:04002 

Komjath, Péter Third note on Hajnal-Maté graphs. 92a:04005 

Majcher, B. Orthogonal partitions. 92a:04006 

Méndez, Gisela see Di Prisco, Carlos Augusto; et al., 92i:04002 

Milner, Eric C. Ordered graphs without infinite paths. 92c:04004 

Misfeld, J. see Abel, U., 92£:04002 

Muthuvel, Kandasamy Nowhere dense set mappings on the generalized linear continua. 
92a:04007 

Nagy, Z. (with Szentmikléssy, Z.) A tournament which is not finitely representable. 
92e:04003 

Plewik, Szymon Ideals of the second category. 92k:04001 

Prémel, Hans Jiirgen (with Voigt, Bernd) Ramsey theory for the Cantor space. 92c:04005 

Rostanowski, Andrzej On game ideals. 92¢:04004 

Scheepers, Marion A partition relation for partially ordered sets. 92f:04004 

— Meager-nowhere dense games. II. Coding strategies. 92m:04001 

Sherman, Glen Aldridge On bounded paradoxical subsets of the plane. 92¢e:04005 

Szentmikléssy, Z. see Nagy, Z., 92e:04003 

Velleman, Dan Partitioning pairs of countable sets of ordinals. 92h:04002 

Voigt, Bernd see Prémel, Hans Jiirgen, 92c:04005 

Yan, Li Solution to a problem of Ulam on rings of sets. (Chinese) 

Zindulka, Ondiej A note on the Ramsey-type theorem of Erdés. 92b:04002 


Items with secondary classifications in 04A20 


Aniszczyk, Bohdan A rigid Borel space. 92c:28001 

Apter, Arthur W. (with Di Prisco, Carlos Augusto; Henle, James; Zwicker, William) Filter 
spaces. II. Limit ultraproducts and iterated embeddings. (Spanish summary) 92a:03069 

Batbedat, André Applications des isomorphismes HTS et HTE (vers la classification 
arborée). II. (English summary) [Applications of the isomorphisms HTS and HTE 
(toward an arbored classification). II] 92c:05114 

Blass, Andreas (with Erdés, Paul; Taylor, Alan) Diverse homogeneous sets. 92j:05178 

Brendle, Jérg Cardinal invariants of infinite groups. 92e:03068 

Burke, Maxim R. (with Magidor, Menachem) Shelah’s pef theory and its applications. 
92f:03053 

Comfort, W. W. (with Remus, Dieter) Long chains of Hausdorff topological group 
topologies. 92f:22001 

Dehornoy, Patrick A coding of the countable linear orderings. 92h:04001 

Di Prisco, Carlos Augusto Partitions and axioms of set theory. (Spanish) 92g:03078 

— see also Apter, Arthur W.; et al., 92a:03069 

Erdés, Paul see Blass, Andreas; et al., 92j:05178 

Galvin, Fred (with Milner, Eric C.; Pouzet, Maurice) Cardinal representations for closures 
and preclosures. 92c:06002 

Garcia-Ferreira, Salvador On FU(p)-spaces and p-sequential spaces. 92m:54006 

Hajnal, Andras (with Komjath, Péter) Corrigendum to: “Embedding graphs into col- 
ored graphs” [Trans. Amer. Math. Soc. 307 (1988), no. 1, 395-409; MR 89e:05145]. 
92m:05136 


SET THEORY 


Henle, James see Apter, Arthur W.; et al., 92a:03069 

Hon, Jin Matching numbers and matching distribution. (Chinese) 92a:05009 

Just, Winfried Repercussions of a problem of Erdés and Ulam on density ideals. 92f:03061 

Kamburelis, Anastasis A new proof of the Gitik-Shelah theorem. 92h:03069 

Kamo, Shizuo Ideals on w which are obtained from Hausdorff-gaps. 92m:03074 

Keremedis, Kyriakos A topological characterization of GCH. 92b:04003 

Komjath, Péter Tetrahedron free decomposition of R?. 92i:52008 

— see also Hajnal, Andras, 92m:05136 

Laflamme, Claude Zapping small filters. 92e:03076 

— Equivalence of families of functions on the natural numbers. 92f:03056 

Lisan, Amha Tume Ultrafilters on a discrete set with two binary operations. 92g:22005 

Magidor, Menachem see Burke, Maxim R., 92f:03053 

Milner, Eric C. see Galvin, Fred; et al., 92c:06002 

Negri, Maurizio Fixed points and diagonal method. 92f:03041 

Omarov, A. I. Saturation conditions for ideals over w. (Russian) 92b:03053 

Pawlikowski, Janusz The Hahn-Banach theorem implies the Banach-Tarski paradox. 
92m:03078 

Perron, Daniel Delta systémes dans la hiérarchie projective. (English summary) [Delta 
systems in the projective hierarchy] 92¢:03071 

Pouzet, Maurice see Galvin, Fred; et al., 92c:06002 

Remus, Dieter see Comfort, W. W., 92f:22001 

Simon, Petr A note on nowhere dense sets in w*. 92j:54035 

Tagamlitski, Yaroslav A. A diagonal principle for generalized sequences and some of its 
applications. 92g:40002 

Taylor, Alan see Blass, Andreas; et al., 92j:05178 

Todortevi¢, Stevo Remarks on Martin’s axiom and the continuum hypothesis. 92m:03076 

Weiss, William A. R. Partitioning the quadruples of topological spaces. 92g:05018 

Zivaljevié, Bosko Hyperfinite transversal theory. 92f:03073 

Zwicker, William see Apter, Arthur W.; et al., 92a:03069 


04A25 Axiom of choice and equivalent propositions (Zorn’s 
lemma, etc.) [see also 03E25] 


Galvin, Fred (with Komjath, Péter) Graph colorings and the axiom of choice. 92k:04002 
Komjath, Péter see Galvin, Fred, 92k:04002 


Items with secondary classifications in 04A25 

Chang, Chén Hua see Chang, Ch’i, 92e:90152 

Chang, Ch’i (with Chang, Chén Hua) An existence theorem for abstract stable sets. 
92e:90152 

Gluschankof, Daniel (with Tilli, Miguel) On some extension theorems in functional 
analysis and the theory of Boolean algebras. 92f:46001 

Sander, Tomas Existence and uniqueness of the real closure of an ordered field without 
Zorn’s lemma. 92g:12011 

Shannon, Gary P. A note on some weak forms of the axiom of choice. 92m:03080 

Tilli, Miguel see Gluschankof, Daniel, 92f:46001 


04A30 Continuum hypothesis, generalized continuum hypothesis 
[see also 03E50, 54A25] 


Keremedis, Kyriakos A topological characterization of GCH. 92b:04003 


Items with secondary classifications in 04A30 

Abel, U. (with Misfeld, J.) Congruences in decompositions of the real and rational 
numbers. (Italian summary) 92f:04002 

Bagemihl, Frederick Independent sets and second category. 92¢:04001 

Baldwin, Stewart Martin’s axiom implies a stronger version of Blumberg’s theorem. 
92b:26005 

Gibbon, Greg Intersection properties of partitions of a cardinal. 92¢:04002 

Kamo, Shizuo Ideals on w which are obtained from Hausdorff-gaps. 92m:03074 

Kemoto, Nobuyuki Collectionwise Hausdorffness at limit cardinals. 92h:54029 

Misfeld, J. see Abel, U., 92f:04002 

Muthuvel, Kandasamy Nowhere dense set mappings on the generalized linear continua. 
92a:04007 

Simms, John C. Why the continuum hypothesis is false. 92m:03086 

Yan, Li Solution to a problem of Ulam on rings of sets. (Chinese) 


04A72 Fuzzy sets, fuzzy relations [see also 03E72, 94D05] {For 
fuzzy versions, see specific sections. } 


Adamopoulos, G.I. see Pappis, C. P. 

Asai, Kiyoji see Terano, Toshiro; et al., 92h:04008 

Basu, Kaushik (with Deb, Rajat; Pattanaik, Prasanta K.) Soft sets: an ordinal formulation 
of vagueness with some applications to the theory of choice. 92i:04003 

Buckley, James J. (with Qu, Yun Xia) Erratum: “On using a-cuts to evaluate fuzzy 
equations” [Fuzzy Sets and Systems 38 (1990), no. 3, 309-312; MR 91j:04004]. 

Burillo Lépez, Pedro J. (with Fuentes Gonzalez, Ramon) Perturbations on L-fuzzy sets. 
92f:04005 

Cao, De Fan see Shi, Kai Quan; et al. 

Chanas, Stefan (with Kuchta, Dorota) A new approach to rough sets and their relation to 
fuzzy sets. 92k:04003 

— (with Kuchta, Dorota) Further remarks on the relation between rough and fuzzy sets. 

Chang, Yu Chee see Wang, Hsiao Fan, 92h:04009 

Ch’én, Miao Shéng see Huang, Chen Chung, 92b:04004 

Chen, Wen Hsi Fuzzy evaluation of risk management. 

Cui, Hong Bin see Yang, Le Cheng; et al. 

Deb, Rajat see Basu, Kaushik; et al., 92i:04003 

De Cooman, Gert Evaluation sets: an order-theoretic approach to fuzzy set theory. 
92h:04003 





99 1992 


Deng, Ju Long The point-set topological properties of grey series. 92e:04006 

— (with Li, Bing Qian) Modelling for grey series. 92g:04006 

Dib, K. A. (with Youssef, Nabil Labib) Fuzzy Cartesian product, fuzzy relations and fuzzy 
functions. 92¢:04006 

Di Nola, Antonio (with Sessa, Salvatore; Pedrycz, Witold; Sanchez, Elie) * Fuzzy relation 
equations and their applications to knowledge engineering. 92h:04004 

Dombi, Jézsef (with Porkolab, Lérant) Measures of fuzziness. 92m:04002 

Dubois, Didier (with Prade, Henri; Sessa, Salvatore) Recent literature. 92c:04007 

— (with Prade, Henri) Random sets and fuzzy interval analysis. 92g:04007 

— (with Prade, Henri; Sessa, Salvatore) Recent literature. 92g:04008 

— (with Prade, Henri; Sessa, Salvatore) Recent literature. 

— (with Prade, Henri; Sessa, Salvatore) Recent literature. 

Dumitrescu, D. Fuzzy partitions with the connectives T,., S.o. 

Fernandez, Manuel J. (with Suarez Garcia, Fermin) Calculation of the largest eigen fuzzy 
subset of a fuzzy relation. (Spanish. English summary) (see 92m:00051) 

Filep, Laszlé Study of L-fuzzy similarities. 92m:04003 

Fodor, Janos C. A remark on constructing f-norms. 92d:04002 

Fuentes Gonzalez, Ramén_ see Burillo Lépez, Pedro J., 92f:04005 

Fullér, Robert On product-sum of triangular fuzzy numbers. 92c:04008 

— On Hamacher sum of triangular fuzzy numbers. 92d:04003 

— (with Keresztfalvi, Tibor) On generalization of Nguyen’s theorem. 92g:04009 

— Well-posed fuzzy extensions of ill-posed linear equality systems. 

— A law of large numbers for fuzzy numbers. 92j:04003 

Gerstenkorn, Tadeusz (with Mafiko, Jacek) Correlation of intuitionistic fuzzy sets. 
92h:04005 

Gil, Maria Angeles A note on the connection between fuzzy numbers and random intervals. 

Gonzalez, Leén A. (with Mohedano Salillas, Ma. Victoria) Fuzziness indices of fuzzy 
subsets obtained from induced relations. (Spanish. English summary) (see 92b:00044) 

Gonzalez Muiioz, Antonio (with Vila, Maria A.) A discrete method for studying indifference 
and order relations between fuzzy numbers. 92a:04008 

Gottwald, Siegfried Some observations and problems connected with fuzzy relation 
equations. 92a:04009 

Govind, Rakesh see Zhao, Renhong, 92a:04012( 

Guo, Kai Zhong (with Zhang, Shi Qiang) Fuzzy error sets. (Chinese. English summary) 

Hao, Cheng Gong Canonical form of strongly transitive matrices over lattices. 92m:04004 

Hohle, Ulrich (with Stout, Lawrence Neff) Foundations of fuzzy sets. 92c:04009 

— see also Applications of category theory to fuzzy subsets, 92k:04006 

Homenda, Wladyslaw (with Pedrycz, Witold) Processing uncertain information in the 
linear space of fuzzy sets. 

Hsu, Hsi Mei see Wang, Hsiao Fan, 92i:04006 

Huang, Chen Chung (with Ch’én, Miao Shéng) A fuzzy ranking method by the centers of 
fuzzy set. 92b:04004 

Ichihashi, Hidetomo see Inuiguchi, Masahiro; et al., 92m:04005 

lino, Riichi A guide to fuzzy mathematics. (Japanese. English summary) 92h:04006 

Inuiguchi, Masahiro (with Ichihashi, Hidetomo; Kume, Yasufumi) Some properties of 
extended fuzzy preference relations using modalities. 92m:04005 

Kang, Shi Kun see Zhang, Shi Sheng; et al., 92g:04016 

Keresztfalvi, Tibor see Fullér, Robert, 92g:04009 

Kim, Chang Bum see Kim, Jin Bai; et al., 92c:04010 

Kim, Jin Bai (with Kim, Young-Hee; Kim, Chang Bum) Resolution of the Cartesian 
product of fuzzy sets. 92c:04010 

Kim, Young-Hee see Kim, Jin Bai; et al., 92c:04010 

(Klement, Erich Peter) see Applications of category theory to fuzzy subsets, 92k:04006 

Kramosil, Ivan Definition and recognition of classical sets by the rough ones. (Russian 
summary) 92i:04004 

— An alternative approach to rough sets. 92k:04004 

Kuchta, Dorota see Chanas, Stefan, 92k:04003( 

Kume, Yasufumi see Inuiguchi, Masahiro; et al., 92m:04005 

Lehmann, Ingo (with Weber, Richard; Zimmermann, Hans-Jiirgen) Die Theorie der 
unscharfen Mengen. (English summary) [Fuzzy set theory] 

Li, Bing Qian see Deng, Ju Long, 92g:04006 

Li, Jian Xin The smallest solution of max-min fuzzy equations. 92g:04010 

Makeev, S. P. Decomposition of the problem of calculating a function of interacting fuzzy 
variables. (Russian) 92j:04004 

Maniko, Jacek see Gerstenkorn, Tadeusz, 92h:04005 

MareS, Milan Additive decomposition of fuzzy quantities with finite supports. 

Mayor, Gaspar (with Torrens, Joan) Ona family of t-norms. 92c:04011 

— On the equation A = (AN B) U(AN B®). 

Meng, Guang Wu (with Zhang, Xing Fang) The theory of grey real functions. 92g:04011 

Mohedano Salillas, Ma. Victoria L-fuzzy relations and uniformities. (Spanish. English 
summary) (see 92b:00044) 

— see also Gonzalez, Leén A., (92b:00044) 

Mrézek, Adam Elements of the theory of rough sets. (Russian) 

Nanda, Sudarsan Fuzzy algebras over fuzzy fields. 92¢:04007 

Novak, Vilém Fuzzy set theory as a theory of vagueness. 92c:04012 

Ovchinnikov, Sergei V. Similarity relations, fuzzy partitions, and fuzzy orderings. 
92c:04013 

— The duality principle in fuzzy set theory. 92g:04012 

Pal, N. R. (with Pal, Sankar Kumar) Higher order fuzzy entropy and hybrid entropy of a 
set. 92m:04006 

Pal, Sankar Kumar see Pal, N. R., 92m:04006 

Pappis, C. P. (with Adamopoulos, G.I.) A software routine to solve the generalized inverse 
problem of fuzzy systems. 

Pattanaik, Prasanta K. see Basu, Kaushik; et al., 92i:04003 

Pedrycz, Witold Context-dependent fuzzy-set connectives. (see 92k:68001) 

— see also Di Nola, Antonio; et al., 92h:04004 and Homenda, Wladyslaw 

Peeva, Ketty Fuzzy linear systems. 92k:04005 

Perfil’eva, I.G. Applications of the theory of fuzzy sets. (Russian) 92a:04010 

Porkolab, Lérant see Dombi, Jézsef, 92m:04002 

Prade, Henri see Dubois, Didier; et al., 92c:04007; 92g:04007; 922:04008 


SET THEORY 


04A72 


Prats, F. (with Rovira, R.; Sanchez, M.) Indistinguishability operators with probabilistic 
values. 92a:04011 

Qu, Yun Xia see Buckley, James J. 

(Rodabaugh, Stephen Ernest) see Applications of category theory to fuzzy subsets, 92k:04006 

Rovira, R. see Prats, F.; et al., 92a:04011 

Sanchez, Elie see Di Nola, Antonio; et al., 92h:04004 

Sanchez, M. see Prats, F.; et al., 92a:04011 

SeSelja, Branimir The fuzzy power of algebras. (Serbo-Croatian summary) 92b:04005 

Sessa, Salvatore see Dubois, Didier; et al., 92c:04007; 92g:04008; Di Nola, Antonio; et al., 
92h:04004; Dubois, Didier; et al. 

Shi, Kai Quan The theory of the R(@) — R(“compass symbol”) relations ***ART- 
WORK***. 92h:04007 

— (with Cao, De Fan) The relation R (“compass symbol”) on X{@} x ¥Y «*ARTWORK«. 
(Chinese. English summary) 

Stipanitev, Darko Arithmetics with qualitative values and fuzzy set theory. 92m:04007 

Stout, Lawrence Neff see Hihle, Ulrich, 92c:04009 

Suarez Garcia, Fermin see Fernandez, Manuel J., (92m:00051) 

Sugeno, Michio see Terano, Toshiro; et al., 92h:04008 

Swamy, U. M. (with Viswanadha Raju, D.) Algebraic fuzzy systems. 92c:04014 

— (with Viswanadha Raju, D.) Irreducibility in algebraic fuzzy systems. 92c:04015 

Terano, Toshiro (with Asai, Kiyoji; Sugeno, Michio) * Oyo fajii shisutemu nyamon. 
(Japanese) [Introduction to applied fuzzy systems] 92h:04008 

Torrens, Joan see Mayor, Gaspar, 92c:04011 

Vila, Maria A. see Gonzalez Muioz, Antonio, 92a:04008 

Viswanadha Raju, D. see Swamy, U. M., 92c:04014 and 92c:04015 

Wagenknecht, M. On pseudo-transitive approximations of fuzzy relations. 92i:04005 

Wang, Hsiao Fan (with Chang, Yu Chee) Resolution of composite interval-valued fuzzy 
relation equations. 92h:04009 

— (with Hsu, Hsi Mei) An alternative approach to the resolution of fuzzy relation 
equations. 92i:04006 

Weber, Richard see Lehmann, Ingo; et al. 

Weber, Siegfried Uncertainty measures, decomposability and admissibility. 92c:04016 

Weng, Wen Hui Fuzzy mappings. (Chinese. English summary) 

Williamson, Robert C. The law of large numbers for fuzzy variables under a general 
triangular norm extension principle. 92c:04017 

Xu, Cheng Wei On convexity of fuzzy sets and fuzzy relations. 92g:04013 

Xu, Xun (with Yao, Nan Xun) A multifactorial evaluation model for mechanical products 
(gear cutters). (Chinese. English summary) 

Yager, Ronald R. Connectives and quantifiers in fuzzy sets. 92c:04018 

— Nonmonotonic set-theoretic operations. 92g:04014 

(Yamakawa, Takeshi) see Applications of fuzzy systems theory, 92a:04013 

Yang, Le Cheng (with Cui, Hong Bin; Zheng, Chong You) Structures of support-preserving 
fuzzy order homomorphisms. 

Yao, Nan Xun see Xu, Xun; et al. 

Youssef, Nabil Labib see Dib, K. A., 92c:04006 

Yu, Da Ren A numerical solution method for fuzzy relation equations. (Chinese. English 
summary) 

Yue, Huang Grey function and grey relation grade. 92g:04015 

(Zadeh, Lotfi A.) see Di Nola, Antonio; et al., 92h:04004 

Zhang, Guang Quan Fuzzy limit theory of fuzzy numbers. (see 92k:68001) 

Zhang, Shi Qiang see Guo, Kai Zhong; et al. 

Zhang, Shi Sheng (with Kang, Shi Kun) The theory of coincidence degrees for fuzzy 
mappings. (Chinese. English summary) 92g:04016 

Zhang, Xing Fang see Meng, Guang Wa, 92g:04011 

Zhang, Zhong Yong Two remarks on solutions to fuzzy equations. (Chinese) 

Zhao, Renhong (with Govind, Rakesh) Defuzzification of fuzzy intervals. 

— (with Govind, Rakesh) Solutions of algebraic equations involving generalized fuzzy 
numbers. 92a:04012 

Zheng, Chong You see Yang, Le Cheng; et al. 

Zhou, Fei Yue The recession cones and Carathéodory’s theorem of convex fuzzy sets. 
92h:04010 

— On fuzzy-valued inequalities. 92i:04007 

Zimmermann, Hans-Jirgen see Lehmann, Ingo; et al. 


Items listed otherwise than by author 

Applications of category theory to fuzzy subsets * Applications of category theory to fuzzy 
subsets. 92k:04006 

Applications of fuzzy systems theory * Applications of fuzzy systems theory. 92a:04013 

Bibliography: 

Applications of category theory to fuzzy subsets Bibliography. (see 92k:04006) 

Fuzzy sets and systems see Dubois, Didier; et al., 92c:04007; 92g:04008 
lizuka * Applications of fuzzy systems theory. 92a:04013 
Linz * Applications of category theory to fuzzy subsets. 92k:04006 
Seminar: 

Fuzzy Set Theory * Applications of category theory to fuzzy subsets. 92k:04006 
Special Issue: 

Applications of fuzzy systems theory * Applications of fuzzy systems theory. 92a:04013 
Visegrad * Third IFSA-EC and EURO-WGFS Workshop on Fuzzy Sets. 92k:04007 
Workshop: 

Fuzzy Sets * Third IFSA-EC and EURO-WGFS Workshop on Fuzzy Sets. 92k:04007 

Fuzzy System Applications * Applications of fuzzy systems theory. 92a:04013 


Items with secondary classifications in 04A72 

Abd-Alla, M. A. see Ramadan, A. A., 92m:54020 

Abd El-Hakeim, K. M. see Allam, A. A.; et al., 92g:54004 

Abd El-Monsef, M. E. (with Zeyada, F. M.; El-Deeb, S. N.; Hanafy, I. M.) Good extensions 
of paracompactness. 

Abe, T. see Akiyama, Y.; et al. 

Abou-Zaid, Salah On generalized characteristic fuzzy subgroups of a finite group. 92j:20068 

— On fuzzy subnear-rings and ideals. 92k:16012 





04A72 


-- On fuzzy subnormal and pronormal subgroups of a finite group. 

Ahsanullah, T. M. G. see Chakraborty, M. K., 92m:54011 

Ahson, S.I. see Garg, M. L.; et al. 

Aizawa, Kunio see Nakamura, Akira’, 92':68124 

Ajmal, Naseem (with Tyagi, B. K.) On fuzzy almost continuous functions. 92g:54003 

— (with Kohli, J. K.) Connectedness and local connectedness in fuzzy topological spaces 
and Heyting-algebra-valued sets. 92m:54008 

— see also Dixit, V. N.; et al. 

Akiyama, Y. (with Abe, T.; Mitsunaga, T.; Koga, H.) A conceptual study of max-« 
coinposition on the correspondence of base spaces and its applications in determining 
fuzzy relations. 

Ali, Dewan Muslim A note on some FT? concepts. 92m:54009 

— see also Srivastava, Arun Kumar”, 92m:54022 

Aliev, R. A. (with Zakharova, E. G.; Ul'yanov, S. V.) Fuzzy methods for controlling 
dynamical systems. (Russian) 92¢:93054 

— (with Tserkovnyi, A. E.; Mamedova, G. A.) * YnpaBnenue npow3BoycTBOM MpH HeyeTKOH 
HCXOHOK HHopmanun. (Russian) [Control of production with fuzzy input information] 
92k:93004 

Allam, A. A. (with Abd El-Hakeim, K. M.; Morsi, Nehad N.) On fuzzy neighbourhood 
spaces. 92g:54004 

— (with Zahran, A. M.) Almost continuity and weakly continuity in bifuzzy topological 
spaces. 

(Anderson, James Alfred) see Kosko, Bart, 92k:92003 

Archer, Norman P. (with Wang, Shouhong) Fuzzy set representation of neural network 
classification boundaries. 

Asaad, Mohamed Groups and fuzzy subgroups. 92a:20083 

Astrovskii, A. I. (with Korzhenevich, S. K.) Fuzzy sets in problems of a posteriori estima- 
tion for linear discrete observation systems. (Russian. English summary) 92h:90134 

Bai, Shi Zhong Semiregular semi-open and regular semi-open elements in topological 
molecular lattices. (Chinese. English summary) 

Bai, Yong Cheng The relation between nonfuzzy topological spaces and induced lattice- 
valued spaces. (Chinese. English summary) 

— (with Te, Gu Si) Connectivity of L-fuzzy unit intervals and L-fuzzy real lines. (Chinese. 
English summary) 

Bakan, G. M. (with Kussul’, N. N.) Fuzzy ellipsoidal sets in nonstatistical estimation 
problems. (Russian. English summary) 92a:93067 

— (with Kussul’, N. N.) Set-theoretical identification of linear objects in the fuzzy 
ellipsoidal set class. (Russian. English summary) 92g:93037 

Ban, J. A remark on the metric structure of the space of integrably bounded fuzzy variables. 
(Russian and Slovak summaries) 92g:60007 

Bandemer, H. Some ideas to minimize an empirically given fuzzy function. 92b:93045 

Bapat, M.S. see Kumbhojkar, H. V., 92d:16002 

Barrett, C.R. (with Pattanaik, Prasanta K.) Aggregation of fuzzy preferences. 92c:90013 

Basile, Luciano Ranking alternatives by weak transitivity relations. 92d:90004 

Beasley, LeRoy B. (with Pullman, Norman J.) Linear operators that strongly preserve 
commuting pairs of fuzzy matrices. 92b:15039 

Bezdek, James C. see Bobrowski, Leon, 92i:68136 

Bhaumik, R. N. (with Das, Anjusri) The role of fuzzy preference relations in mathematical 
economics. 92k:90010 

Billot, Antoine Fuzzy convexity and peripheral core of an exchange economy represented as 
a fuzzy game. (see 92b:90011) 

Bin Shahna, Abdulla S. On fuzzy compactness and fuzzy Lindeléfness. 

— On fuzzy strong semicontinuity and fuzzy precontinuity. 92i:54008 

Blasco Mardones, N. (with Macho Stadler, Marta; De Prada Vicente, Ma. Angeles) On 
fuzzy compactifications. (Spanish) (see 92g:00024) 

— (with Macho Stadler, Marta; De Prada Vicente, Ma. Angeles) On fuzzy compactifica- 
tions. 92k:54005 

Bobrowski, Leon (with Bezdek, James C.) c-means clustering with the /; and /,, norms. 
92i:68136 

Bondareva, O. N. Revealed fuzzy preferences. 92g:90012 

Borisov, A. N. (with Krumberg, O. A.; Fedorov, I. P.) * IIpauatue pemienuit Ha ocHoBe 
He¥eTKHX Moseneh. (Russian) [Decision making based on fuzzy models] 92a:90003 

Bourlon, Franck see Loslever, Pierre 

Bravo de la Parra, Rafael see Burillo Lopez, Pedro J.; et al., (92b:00044) 

Brona, I. 1. (with Malyuta, T. A.; Pasichnik, V. V.) %* Pensamnonubie 6a3bI 2aHHBIX C 
HeNOHBIMH H HETOYHBIMH 3Ha4CHHAMH (aHaIHTHYeCKHH OO630p). (Russian) [Relational data 
bases with incomplete and inexact values (an analytic survey)] 92a:68034 

Brenn, C. see Whalen, T., (92b:90011) 

Buckley, James J. (with Qu, Yun Xia) Solving systems of linear fuzzy equations. 
92g:15040 

— (with Qu, Yun Xia) Fuzzy complex analysis. I. Differentiation. 

— Fuzzy I/O controller. 

Burillo Lopez, Pedro J. (with Gonzalez, Leén A.) Uniformities associated with fuzzy 
relations. (Spanish) (see 92g:00024) 

— (with Bravo de la Parra, Rafael; Salvador Alcaide, Adela) T-fuzzy vector subspace 
generated by a fuzzy set. (Spanish. English summary) (see 92b:00044) 

Butnariu, Dan (with Klement, Erich Peter) Triangular norm-based measures and their 
Markov kernel representation. 92i:28024 

Cai, Kai Yuan (with Wen, Chuan Yuan; Zhang, Ming Lian) Posbist reliability behavior of 
typical systems with two types of failure. 

Cai, Wen The extension set and noncompatible problems. (see 92g:73001) 

Campos, Lourdes (with Gonzalez Mufioz, Antonio) Fuzzy matrix games considering the 
criteria of the players. 92b:90238 

de Campos Ibdiiez, Luis Miguel (with Lamata, Maria T.; Moral, Serafin) A unified 
approach to define fuzzy integrals. 92e:28015 

Cao, Bing Yuan A fuzzy set method for studying linear programming contrary theory. 
(Chinese. English summary) 

Cao, Hong Xing (with Wei, Feng Ying; Gu, Jin) A new calculating scheme for grey 
modelling. 


Casals, M. R. (with Gil Alvarez, Pedro Angel) Bayes testing of fuzzy hypotheses based on 


SET THEORY 


fuzzy information. (Spanish. English summary) 

Cen, Jian Miao On generalized inverses of fuzzy matrices. (Chinese. English summary) 

Chadwick, J. J. A generalised form of compactness in fuzzy topological spaces. 92j:54005 

Chakraborty, M. K. (with Ahsanullah, T. M. G.) Fuzzy topology on fuzzy sets and tolerance 
topology. 92m:54011 

Chattopadhyay, K.C. see Hazra, R. N.; et al., 92m:54013 

Chen, Lai Jiu see Zhang, Hua Guang 

Chen, Shou Yu Theoretical models for fuzzy pattern recognition, decision making and 
clustering analysis. (Chinese. English summary) 

Chen, Yan’ A preliminary exploration of fuzzy ordering and the antitone degree of fuzzy 
sequences. (Chinese. English summary) 

Chovanec, Ferdinand see Dvuretenskij, Anatolij; et al., 92m:81022 

Czyzak, P. Application of the “FLIP” method to farm structure optimization under 
uncertainty. (see 92a:90053) 

Dai, Hong Cai see Lou, Kuo Lu; et al. 

Dai, Ning see Zhang, Wen Xiu; et al. 

Das, Anjusri see Bhaumik, R. N., 92k:90010 

Dasgupta, M. (with Deb, Rajat) Fuzzy choice functions. 92h:90008 

Deb, Rajat see Dasgupta, M., 92h:90008 

Delgado, M. (with Verdegay, J. L.; Vila, Maria A.) Playing matrix games defined by 
linguistic labels. 92d:90115 

— (with Verdegay, J. L.; Vila, Maria A.) A possibilistic approach for multiobjective 
programming problems. Efficiency of solutions. (see 92a:90053) 

Deng, Fang An see Jiang, Hao; et al. 

De Prada Vicente, Ma. Angeles see Blasco Mardones, N.; et al., 92k:54005; Macho Stadler, 
Marta, 92m:54017; (92b:00044); Blasco Mardones, N.; et al., (92g:00024) and Gutiérrez, 
Javier, (92m:00050) 

Diamond, Phil A note on fuzzy starshaped fuzzy sets. 92a:52007 

— Congruence classes of fuzzy sets form a Banach space. 92m:46113 

— (with Kloeden, Peter) Corrigendum: “Metric spaces of fuzzy sets” [Fuzzy Sets and 
Systems 35 (1990), no. 2, 241-249; MR 91f:54004]. 

Di Nola, Antonio (with Pedrycz, Witold; Sessa, Salvatore; Sanchez, Elie) Fuzzy relation 
equations theory as a basis of fuzzy modelling: an overview. 92b:90017 

— (with Sessa, Salvatore; Pedrycz, Witold) A study on approximate reasoning mechanisms 
via fuzzy relation equations. 

Dixit, V. N. (with Kumar, Rajesh; Ajmal, Naseem) Fuzzy ideals and fuzzy prime ideals of a 
ring. 

Dombi, Jézsef (with Iwanski, Cezary) Rational, not strictly monotonous logic operators. 
(Russian and Polish summaries) 92e:03032 

Drossos, C. A. (with Markakis, G.) Boolean fuzzy sets. 92m:03090 

Dubois, Didier (with Prade, Henri) * Possibility theory. 92b:90018 

— (with Prade, Henri) Aggregation of possibility measures. 92c:90009 

— (with Prade, Henri) Fuzzy sets in approximate reasoning. I. Inference with possibility 
distributions. 92c:03025a 

— (with Lang, Jéréme; Prade, Henri) Fuzzy sets in approximate reasoning. II. Logical 
approaches. 92c:03025b 

— (with Koning, Jean-Luc) Social choice axioms for fuzzy set aggregation. 92h:90032 

— see also Industrial engineering methods, 92m:00044 

Dvureéenskij, Anatolij (with Lé ba Long) On representations of fuzzy quantum posets. 
(Russian and Slovak summaries) 92j:81014 

— (with Lé ba Long) Observables in fuzzy quantum posets. (Russian and Slovak sum- 
maries) 92j:81015 

— (with Chovanec, Ferdinand; K6pka, FrantiSek) On mean value additivity on fuzzy 
quantum spaces. (Russian and Slovak summaries) 92m:81022 

— (with Rieéan, Beloslav) Fuzziness and commensurability. 92¢:81019 

— On the existence of probability measures on fuzzy measurable spaces. 92i:28025 

— The Radon-Nikodym theorem for fuzzy probability spaces. 92i:28026 

— see also Proceedings: School on M. Theory, 92b:00045 

El-Abyad, Abdelwahab M. (with El-Hamouly, Hassan M.) Fuzzy inner product spaces. 
92k:46127 

El-Deeb, S. N. see Abd El-Monsef, M. E.; et al. 

El-Hamouly, Hassan M. see El-Abyad, Abdelwahab M., 92k:46127 

El-Shafee, M. E. see Kandil, A.; et al., 92m:54015( 

Eroglu, Mehmet Sait Topological representation for fuzzy topological spaces. 92b:54009 

Ewert, Janina On normal fuzzy topological spaces. 92b:54010 

Fan, L.T. see Shenoi, Sujeet; et al. 

Fang, Hao Jian see Huang, Jin Li; et al. 

Fang, Jin Xuan On fixed point theorems in fuzzy metric spaces. 92m:54012 

(Farreny, Henri) see Dubois, Didier, 92b:90018 

Fedorov, I. P. see Borisov, A. N.; et al., 92a:90003 

Fedrizzi, Mario (with Kacprzyk, Janusz) On measuring consensus in the setting of fuzzy 
preference relations. (see 92g:90015) 

— see also Multiperson decision making models using fuzzy sets and possibility theory, 
92b:90011 

Fedrizzi, Michele On a consensus measure in a group MCDM problem. 92c:90004 

Fernandez, Manuel J. (with Suarez Garcia, Fermin) Characterization of operations with 
fuzzy numbers. (Spanish. English summary) (see 92b:00044) 

Florenzano, Monique Edgeworth equilibria, fuzzy core, and equilibria of a production 
economy without ordered preferences. 92j:90024 

Fodor, Janos C. Strict preference relations based on weak t-norms. 92m:90004 

Fu, Guo Yao A note on multistage synthetic evaluations. (Chinese. English summary) 

Gao, Yong see Zhang, Wen Xiu; et al. 

Gardeiies, Ernest (with Trepat, Albert; Mielgo, Honorino) Fuzzy semantics of modal 
intervals. 92a:65152 

Garg, M. L. (with Ahson, S. I.; Gupta, P. V.) A fuzzy Petri net for knowledge representa- 
tion and reasoning. 

Gerla, Giangiacomo Fuzzy grammars and recursively enumerable fuzzy languages. 
92m:68063 

Ghanim, Mohammad H. (with Morsi, Nehad N.) Productivity of a-regularity in fuzzy 
topology. 








101 1992 


— Pseudo-closure operators in fuzzy topological spaces. 92b:54011 

Ghosh, Banamali see Mukherjee, M. N., 92h:54008 and 92k:54008 

Gil Alvarez, Pedro Angel see Casals, M. R. 

Gisin, V. B. Categories of fuzzy relations in decision making. 92c:90005 

Goetschel, Roy, Jr. (with Voxman, William) Fuzzy matroids and a greedy algorithm. 
92a:05035 

— (with Voxman, William) Fuzzy rank functions. 92f:05030 

— (with Voxman, William) Fuzzy matroid structures. 92g:05057 

Goldberg, A. A. An integral with respect to a fuzzy measure. (Russian. English and 
Armenian summaries) 92g:28042 

Gonzalez, Leén A. see Burillo Lépez, Pedro J., (92g:00024) 

Gonzalez Muiioz, Antonio see Campos, Lourdes, 92b:90238 

Goodman, Irwin R. (with Nguyen, Hung T.) Foundations for an algebraic theory of 
conditioning. 92k:06018 

Gu, Jin see Cao, Hong Xing; et al. 

Gu, Wen Xiang (with Lu, Tu) The isotonic fuzzy algebraic systems. 

Gupta, Madan M. see Kaufmann, Arnold, 92h:94041 

Gupta, P. V. see Garg, M. L.; et al. 

Gutiérrez, Javier (with De Prada Vicente, Ma. Angeles) A note on fuzzy compactness. 
(Spanish. English summary) (see 92m:00050) 

Hanafy, I. M. see Abd El-Monsef, M. E.; et al. 

(Harding, E. F.) see Dubois, Didier, 92b:90018 

Hayashi, Kenji see Sakurai, Shigeaki, 92k:68020 

Hazra, R. N. (with Samanta, S. K.; Chattopadhyay, K. C.) Fuzzy topology redefined. 
92m:54013 

He, Bo Yong Upper-class spaces of topological molecular lattices. (Chinese) 

He, Pei Jun The variational principle in fuzzy metric spaces and its applications. 
92m:54014 

Heatwole, Conrad D. see Zhang, Tai Ling 

Heinsohn, J. see Kruse, Rudolf; et al., 92k:68113 

Hellendoorn, Hans Fuzzy numbers and approximate reasoning. 92m:03032 

(Hirota, Kaoru) see Symposium: Fuzzy Systems and Applications, 92g:04002 

Hisdal, Ellen Naturalized logic and chain sets. 92f:03018 

Hohle, Ulrich Monoidal closed categories, weak topoi and generalized logics. 92i:03071 

Huang, Jin Li (with Fang, Hao Jian) An improvement of some th 
by using the Schein rank. (Chinese. English summary) 

Huo, Yi Qiu Fuzzy convexity-preserving mappings. (Chinese. English summary) 

Hur, Kul On H-fuzzy relations on sets. 92j:18002 

Ichihashi, Hidetomo see Watanabe, T. and Inuiguchi, Masahiro; et al., (92a:90053) 

Ignizio, James P. see Yang, Taeyong; et al., 92i:90119 

Inoue, Hiroshi A strong law of large numbers for fuzzy random sets. 

— A strong convergence of weighted sums of fuzzy random sets. 92a:60028 

Inuiguchi, Masahiro (with Ichihashi, Hidetomo; Tanaka, Hideo) Fuzzy programming: a 
survey of recent developments. (see 92a:90053) 

Ishibuchi, H. see Tanaka, Hideo 

Ismail, Hassan N. (with Morsi, Nehad N.) Fuzzy rank of a fuzzy matrix. 92b:15040 

Iwatiski, Cezary see Dombi, Jézsef, 92e:03032 

Iwitiski, Tadeusz B. Ordinal information systems. I. (Russian summary) 92a:68025 

Jahn, Karl-Udo Semimorphisms in interval and fuzzy mathematics. 92a:65374 

Jankowska, A. Weak continuity of fuzzy-valued maps. (Serbo-Croatian summary) 
92a:54004 

Jiang, Hao (with Deng, Fang An) Relations between fuzzy implication algebras and 
bounded BCK-algebras. (Chinese. English summary) 

Jiang, Hua Biao see Xiao, Ping; et al. 

Jin, Cong see Wu, Cong Xin; et al., 92h:46062 

Jézsef, Sindor On the effect of linear data transformations in possibilistic fuzzy linear 
regression. 

Kacewicz, Marek Shape prediction with a fuzzy uncertainty measure. 92b:86015 

Kacprzyk, Janusz see Fedrizzi, Mario, (92g:90015); Multiperson decision making models 
using fuzzy sets and possibility theory, 92b:90011 and Nonconventional preference relations 
in decision making, 92g:90015 

Kandil, A. (with El-Shafee, M. E.) Separation axioms for fuzzy bitopological spaces. 

— (with Kerre, Etienne E.; Nouh, A. A.; El-Shafee, M. E.) Fuzzy 0-perfect irreducible 
mappings and fuzzy @-proximity spaces. 92m:54015 

Katsaras, A. K. Operations on fuzzy syntopogenous structures. 92k:54006 

— Completeness in linear fuzzy neighborhood spaces. 92b:54012 

Kaufmann, Arnold (with Gupta, Madan M.) * Introduction to fuzzy arithmetic. 92h:94041 

Kerre, Etienne E. (with Ottoy, P. L.) On a-generated fuzzy topologies. 92b:54013 

— The suitability of fuzzy set theory for the representation and manipulation of imprecision 
and uncertainty in knowledge based systems. 

— see also Kandil, A.; et al., 92m:54015 

Khatab, S. A. see Sidky, F. 1., 92k:16013 

Kim, Hyun-Joon see Yang, Taeyong; et al., 92i:90119 

Klawonn, F. Fuzzy unit interval and fuzzy paths. 92m:54016 

Klein, Cerry M. see Tseng, Tsueng Yao 

Klement, Erich Peter (with Weber, Siegfried) Generalized measures. 92a:28015 

— see also Butnariu, Dan, 92i:28024 

Kleyle, R. see de Korvin, A.; et al., 92d:68109 

Klir, George J. Measures and principles of uncertainty and information: recent develop- 
ments. (see 92:00011) 

Kloeden, Peter Remarks on Peano-like theorems for fuzzy differential equations. 92h:34010 

— Chaotic iterations of fuzzy sets. 92j:54006 

— see also Diamond, Phil 

(Kéczy, L. T.) see Symposium: Fuzzy Systems and Applications, 92g:04002 

Kofler, E. (with Zweifel, P.) Convolution of fuzzy distributions in decision-making. 

Koga, H. see Akiyama, Y.; et al. 

Kohli, J. K. see Ajmal, Naseem, 92m:54008 

(Kohonen, Teuvo) see Pao, Yoh-Han, 92¢:68169 

Kolesdrova, Anna Representation of fuzzy observables. (see 92b:00045) 

Koning, Jean-Luc see Dubois, Didier, 92h:90032 





on fuzzy matrices 


SET THEORY 


04A72 


Kopka, Frantisek see Dvuretenskij, Anatolij; et al., 92m:81022 

de Korvin, A. (with Kleyle, R.; Murphy, M.) Properties of states of recognition arising from 
a set of knowledge systems with imperfect reporting. 92d:68109 

Korzhenevich, S. K. see Astrovskii, A. I., 92h:90134 

Kosko, Bart * Neural networks and fuzzy systems. 92k:92003 

Kovacs, Margit Stable embedding of ill-posed linear equality and inequality systems into 
fuzzified systems. 92k:65081 

Krishna, S. V. (with Sarma, K. K. M.) Fuzzy topological vector spaces—topological 
generation and normability. 92f:46099 

Krishnapuram, Raghu (with Lee, Joonwhoan) Fuzzy-connective-based hierarchical 
aggregation networks for decision making. 

Krumberg, O. A. see Borisov, A. N.; et al., 92a:90003 

Kruse, Rudolf (with Schwecke, E.; Heinsohn, J.) * Uncertainty and vagueness in knowledge 
based systems. 92k:68113 

Kubat, Miroslav Conceptual inductive learning: the case of unreliable teachers. 92k:68108 

Kumar, I. J. (with Saxena, P. K.; Yadav, Pratibha) Fuzzy normal subgroups and fuzzy 
quotients. 92m:20065 

Kumar, Rajesh Fuzzy semiprimary ideals of rings. 92c:16007 

— Fuzzy irreducible ideals in rings. 92g:16012 

— Fuzzy nil radicals and fuzzy primary ideals. 92g:16013 

— Homomorphisms and fuzzy (fuzzy normal) subgroups. 92g:20130 

— Fuzzy vector spaces and fuzzy cosets. 92k:15060 

— see also Dixit, V. N.; et al. 

Kumbhojkar, H. V. (with Bapat, M.S.) Correspondence theorem for fuzzy ideals. 
92d:16002 

Kuroki, Nobuaki Fuzzy congruences and fuzzy normal subgroups. 92h:20109 

Kussul’, N. N. see Bakan, G. M., 92a:93067 and 92g:93037 

Lamata, Maria T. see de Campos Ibdiiez, Luis Miguel; et al., 92e:28015 

Lang, Jéréme see Dubois, Didier; et al., 92c:03025b 

Lapiga, A. G. (with Polyakov, V. V.) On statistical methods in fuzzy decision-making. 

Lé ba Long On a representation of observables in fuzzy quantum posets. (see 92b:00045) 

— Fuzzy quantum posets and their states. (Russian and Slovak summaries) 92j:81013 

— see also Dvuretenskij, Anatolij, 92j:81014 and 92j:81015 

Lee, E. Stanley see Wang, Pei Zhuang; et al., 92i:90062 and Li, Rong-Jun, 92j:90095 

Lee, Joonwhoan see Krishnapuram, Raghu 

Li, Ai Jie see Zhang, Wen Xiu; et al. 

Li, Jian Xin Controllable fuzzy matrices. 92m:15023 

Li, Ke Xiu see Wu, Cong Xin; et al., 92d:47096 

Li, Rong-Jun (with Lee, E. Stanley) An exponential membership function for fuzzy 
multiple objective linear programming. 92j:90095 

Li, Shi Kai Closed interval-valued martingales and fuzzy number-valued martingales. 
(Chinese. English summary) 

Li, Tao Sheng Fuzzy subgroups of cyclic groups. (Chinese. English summary) 

Li, Teng see Zhang, Wen Xiu; et al. 

Li, Wan Qing (with Zhang, Sen) Fuzzy set methods for image enhancement. (Chinese. 
English summary) 

Li, Wen Yi Bilinear equations in a class of lattices. (Chinese. English summary) 92f:06011 

Li, Y. (with Yonezawa, Y.) Stability analysis of a fuzzy control system by the hyperstability 
theorem. 

Li, Yong Ming The theory of L-fuzzy closed graphs and strong closed graphs. (Chinese. 
English summary) 

Lin, Jing? see Zhang, Shi Ying; et al. 

Lin, Yi? The concept of fuzzy systems. 92d:93012 

Liu, Pu Yin Fuzzy valued measures and fuzzy martingales. (Chinese. English summary) 
92k:28033 

Liu, Wang Jin (with Mo, Zhi Wen) Preordered fuzzy syntopogenous spaces. (Chinese. 
English summary) 

— see also Xie, Xian Zhong; et al. 

Liu, Xue Cheng A study on the relations among four classes of convex fuzzy sets in 
Euclidean spaces. (Chinese. English summary) 924:52022 

Liu, Ying Ming (with Luo, Mao Kang) Lattice-valued mappings, completely distributive 
law and induced spaces. 92f:54004 

Lodwick, Weldon A. Analysis of structure in fuzzy linear programs. 92d:90113 

Loslever, Pierre (with Bourlon, Franck) Classification of evaluation strategies of the term 
“large” and the connective “and” through correspondence factor analysis. 

Lou, Kuo Lu (with Dai, Hong Cai; Wang, Hong Xu) Symmetric decreasing diagonally 
dominant fuzzy matrices. (Chinese. English summary) 

Lowen, Robert see Lowen-Colebunders, Eva; et al., 92f:54005 

Lowen-Colebunders, Eva (with Lowen, Robert; Wuyts, P.) The categorical topology 
approach to fuzzy topology and fuzzy convergence. 92f:54005 

Lu, Cheng Guang The B-fuzzy set algebra and a generalized cross-information equation. 
(Chinese. English summary) 

La, Tu see Gu, Wen Xiang 

Lubczonok, Pawel Another look at order-homomorphisms on fuzzes. 92m:06021 

Luhandjula, M. K. (with Sakawa, Masatoshi) Multiple objective linear programming 
problems in the presence of fuzzy coefficients. (see 92a:90053) 

Luo, Chong Shu The theorems of decomposition and representation for fuzzy graphs. 
92c:05156 

Luo, Mao Kang see Liu, Ying Ming, 92:54004 

Ma, Ji Feng see Zhang, Wen Xiu; et al. 

Ma, Ji Liang see Yu, Chun Hai, 92k:22001 

Ma, Ming see Wu, Cong Xin; et al., 92c:26016 and 92d:47096 

MacCaull, W. A. A categorical approach to fuzzy relational database theory. (see 
92k:04006) 

Macho Stadler, Marta (with De Prada Vicente, Ma. Angeles) On the convergence of 
prefilters in fuzzy topological spaces. (Spanish. English summary) (see 92b:00044) 

— (with De Prada Vicente, Ma. Angeles) Strong separation and strong countability in fuzzy 
topological spaces. 92m:54017 

— see also Blasco Mardones, N.; et al., 92k:54005 and (92g:00024) 





04A72 


Maeda, Mikio (with Murakami, Shuta) Stability analysis of fuzzy control systems using 
phase planes. 

Makamba, B. B. (with Murali, V.) Normality and congruence in fuzzy subgroups. 
92g:20131 

Malakar, S. On fuzzy semi-irresolute and strongly irresolute functions. 92m:54018 

— see also Mukherjee, M. N., 924:54005 

Malik, D. S. (with Mordeson, John N.) Fuzzy subgroups of abelian groups. 92c:20136 

— (with Mordeson, John N.) Fuzzy relations on rings and groups. 92g:16014 

— (with Mordeson, John N.) Fuzzy maximal, radical, and primary ideals of a ring. 
92a:16010 

— (with Mordeson, John N.) A note on fuzzy relations and fuzzy groups. 92b:20095 

— (with Mordeson, John N.) Fuzzy homomorphisms of rings. 92k:16001 

— (with Mordeson, John N.) Extensions of fuzzy subrings and fuzzy ideals. 92m:13007 

Malyuta, T. A. see Brona, I. I.; et al., 92a:68034 

Mamedova, G. A. see Aliev, R. A.; et al., 92k:93004 

Markakis, G. see Drossos, C. A., 92m:03090 

Markechovaé, Dagmar The entropy and generators of F-dynamical systems. 92g:28039 

(Martin-Clouaire, Roger) see Dubois, Didier, 92b:90018 

Mashhour, Ali S. (with Morsi, Nehad N.; Tantawy, O. A.) Fuzzy neighbourhood syntopoge- 
nous structures. 92j:54007 

— (with Morsi, Nehad N.) On regularity axioms in fuzzy neighbourhood spaces. 92k:54007 

Mathieu-Nicot, Bernadette Determination and interpretation of the fuzzy utility of an act in 
an uncertain environment. 92c¢:90007 

Matioka, Marian A double integral of fuzzy mapping. 92c:26015 

Matsumoto, Masachika see Yoshioka, Nobuo; et al., 92a:65373 

Mazzoleni, Piera Consensus measures for qualitative order relations. 924:90015 

Melton, Austin (with Shenoi, Sujeet) Fuzzy relations and fuzzy relational databases. 
92c:68032 

— see also Shenoi, Sujeet; et al. 

Meng, Guang Wu Grey sets. 92c:93006 

— Some kinds of compactness in L-fuzzy topological spaces. (Chinese. English summary) 

Mesiar, Radko On the sum of general fuzzy observables. (see 92b:00045) 

Mielgo, Honorino see Gardeiies, Ernest; et al., 92a:65152 

Miglionico, Maria Cristina Regularity properties of nonadditive set functions. 92f:28018 

Min, Kyung Chan Fuzzy p-limit spaces. 92m:54019 

Mishref, M. A. A. see Sidky, F. 1., 92b:20096and 92£:20084 

Mitsunaga, T. see Akiyama, Y.; et al. 

Mo, Zhi Wen see Liu, Wang Jin; et al. 

Montero de Juan, Francisco Javier Single-peakedness in weighted aggregation of fuzzy 
opinions in a fuzzy group. 92b:90027 

Moral, Serafin see de Campos Ibaiiez, Luis Miguel; et al., 92e:28015 

Mordeson, John N. Fuzzy algebraic field extensions. 92k:12005 

— see also Malik, D. S., 92a:16010; 92b:20095; 92c:20136; 92g:16014; 92k:16001 and 
92m:13007 

Morioka, Masaomi see Sunouchi, Haruo 

Morsi, Nehad N. The Urysohn lemma for fuzzy neighbourhood spaces. 92i:54010 

— Dual fuzzy neighbourhood spaces. I. 92i:54011 

— see also Ismail, Hassan N., 92b:15040; Allam, A. A.; et al., 92g:54004; Mashhour, Ali S.; et 
al., 92j:54007; 92k:54007 and Ghanim, Mohammad H. 

Mukherjee, M. N. (with Malakar, S.) On almost continuous and weakly continuous fuzzy 
multifunctions. 924:54005 

— (with Ghosh, Banamali) On nearly compact and 6-rigid fuzzy sets in fuzzy topological 
spaces. 92h:54008 

— (with Ghosh, Banamali) Fuzzy semiregularization topologies and fuzzy submaximal 
spaces. 92k:54008 

Murakami, Shuta see Maeda, Mikio 

Murali, V. Lattice of fuzzy subalgebras and closure systems in /*. 92a:08006 

— Fuzzy congruence relations. 92c:08009 

— see also Makamba, B. B., 92g:20131 

Murofushi, T. (with Sugeno, Michio) Fuzzy t-conorm integral with respect to fuzzy 
measures: generalization of Sugeno integral and Choquet integral. 92m:28026 

Murphy, M. see de Korvin, A.; et al., 92d:68109 

Marthy, Chivukula A. (with Pal, Sankar Kumar) Histogram thresholding by minimizing 
graylevel fuzziness. 

Nakamura, Akira! (with Aizawa, Kunio) Connectedness of coherent fuzzy pictures. 
92j:68124 

Nanda, Sudarsan Strongly compact fuzzy topological spaces. 92f:54006 

— Fuzzy linear spaces over valued fields. 92i:15023 

Nather, Wolfgang Sugeno’s j-fuzzy measures as hit-or-miss probabilities of Poisson point 
processes. 

Nguyen, Hung T. see Goodman, Irwin R., 92k:06018 

Nojiri, Hideyuki A team decision-making model for distributed problem solving. (see 
92b:90011) 

Nouh, A. A. see Kandil, A.; et al., 92m:54015 

Novak, Vilém The unifying role of fuzzy logic in fuzzy set theory. 92m:03034 

Oomura, Kouichi see Yoshioka, Nobuo; et al., 92a:65373 

Orlovskii, S. A. Fuzzy goals and sets of choices in two-person games. 92h:90140 

Ottoy, P. L. see Kerre, Etienne E., 92b:54013 

Ou, Jin Ping? (with Wang, Guang Yuan; Wang, Pei Zhuang) Fuzzy processes and a method 
for solving fuzzy differential equations. (Chinese. English summary) 

Ovchinnikov, Sergei V. (with Ozernoi, V.M.) Identifying noninferior decision alternatives 
based on fuzzy binary relations. (see 92g:90015) 

— Means and social welfare function in fuzzy binary relation spaces. 92c:90017 

— (with Roubens, Marc) On strict preference relations. 92g:90019 

Ozernoi, V.M. see Ovchinnikov, Sergei V., (92g:90015) 

Pal, Sankar Kumar see Murthy, Chivukula A. 

Pao, Yoh-Han * Adaptive pattern recognition and neural networks. 92e:68169 

Pardo Llorente, Julio Angel (a, 8)-information energy as a stopping rule in the sequential 
random sampling with fuzzy information. 92e:94014 

Pasichnik, V. V. see Brona, I. I.; et al., 92a:68034 





SET THEORY 


Pattanaik, Prasanta K. see Barrett, C. R., 92c:90013 

Pederzoli, Giorgio (with Viscolani, Bruno) Fuzzy sequencing games. 92g:90179 

Pedrycz, Witold see Di Nola, Antonio; et al., 92b:90017( 

Peng, Bo Xin Isomorphism of fuzzy groups and some computational problems. (Chinese. 
English summary) 

Petri¢evi¢, Zlata On fuzzy semiregularization, separation properties and mappings. 

Piasecki, Krzysztof Extension of fuzzy P-measures generated by means of a usual 
probability measure. 92c:28017 

Piskunov, A. I. Multistage fuzzy systems. I. Fuzzy goal and constraints in multistep 
decision-making processes under fuzzy conditions. (Russian) 

— Multistage fuzzy systems. II. Methods for solving problems of the control of isolated and 
multistage fuzzy systems. (Russian) 

Polumienko, S. K. Functional models of an object domain. (Russian) 92h:68020 

Polyakov, V. V. see Lapiga, A. G. 

Prade, Henri see Dubois, Didier, 92b:90018; 92c:03025a; 92c:03025b and 92c:90009 

Prakash, Niti see Singal, M. K., 92j:54009 

Pullman, Norman J. see Beasley, LeRoy B., 92b:15039 

(Pulmannova, Sylvia) see Proceedings: School on Measure Theory, 92b:00045 

Puri, Madan L. (with Ralescu, Dan A.) Convergence theorem for fuzzy martingales. 
92i:60012 

Qiao, Zhong Transformation theorems of abstract integrals on fuzzy sets. 92g:28043 

Qin, Xin Xiang A generalization of fuzzy integrals. (Chinese. English summary) 92h:28020 

— A strong law of large numbers for random fuzzy sets. (Chinese. English summary) 

Qu, Yun Xia see Buckley, James J., 92g:15040( 

Ralescu, Dan A. see Puri, Madan L., 92i:60012 

Ramadan, A. A. (with Abd-Alla, M. A.) On smooth preproximity spaces. 92m:54020 

Rietan, Beloslav An ergodic theorem in general ordered systems. 92f:28014 

— see also Dvuretenskij, Anatolij, 92c:81019 

Rodabaugh, Stephen Ernest Point-set lattice-theoretic topology. 92d:54006 

Rommelfanger, H. FULPAL—an interactive method for solving (multiobjective) fuzzy 
linear programming problems. (see 92a:90053) 

Roubens, Mare (with Vincke, Philippe) Fuzzy possibility graphs and their application to 
ranking fuzzy numbers. (see 92g:90015) 

— Inequality constraints between fuzzy numbers and their use in mathematical program- 
ming. (see 92a:90053) 

— (with Teghem, Jacques, Jr.) Comparison of methodologies for fuzzy and stochastic multi- 
objective programming. 92k:90059 

— see also Ovchinnikov, Sergei V., 92g:90019; Nonconventional preference relations in 
decision making, 92g:90015 and Aggregation and best choices of imprecise opinions 

Sakawa, Masatoshi (with Yano, Hitoshi) Feasibility and Pareto optimality for multiobjec- 
tive linear programming problems with fuzzy decision variables and fuzzy parameters. 
(see 92k:68001) 

— (with Yano, Hitoshi) Interactive decision making for multiobjective programming 
problems with fuzzy parameters. (see 92a:90053) 

— (with Takahashi, Junya; Yano, Hitoshi) Extended Pareto optimality concept for 
multiobjective linear programming problems with fuzzy parameters and its properties. 
92b:90182 

— (with Yano, Hitoshi) Feasibility and Pareto optimality for multiobjective nonlinear 
programming problenis with fuzzy parameters. 92i:90089 

— see also Luhandjula, M. K., (92a:90053) 

Sakurai, Shigeaki (with Hayashi, Kenji) Gédelian implication rule and lossless join 
decomposition of fuzzy relations. 92k:68020 

Salvador Alcaide, Adela see Burillo Lépez, Pedro J.; et al., (92b:00044) 

Samanta, S. K. Fuzzy nearness structure. 92i:54012 

— see also Hazra, R. N.; et al., 92m:54013 

Sanchez, Elie see Di Nola, Antonio; et al., 92b:90017 and Wang, Pei Zhuang; et al., 92i:90062 

Sarma, K. K. M. see Krishna, S. V., 92f:46099 

Saxena, P. K. see Kumar, I. J.; et al., 92m:20065 

Schwecke, E. see Kruse, Rudolf; et al., 92k:68113 

Seo, Fumiko On construction of the fuzzy multiattribute risk function for group decision 
making. 92b:90029 

Sedelja, Branimir (with Tepavéevié, Andreja) On a construction of codes by P-fuzzy sets. 
(Serbo-Croatian summary) 92m:94027 

Sessa, Salvatore see Di Nola, Antonio; et al., 92b:90017( 

Shenoi, Sujeet (with Melton, Austin; Fan, L. T.) Functional dependencies and normal 
forms in the fuzzy relational database model. 

— see also Melton, Austin, 92c:68032 

Shi, Fu Gui Fuzzy derived operators induced by ordinary derived operators and fuzzy 
topologies induced by fuzzy derived operators. (Chinese. English summary) 

Shi, Kai Quan A(@®) matrices and their grey character theorem. (Chinese. English 
summary) 

Shostak, A. P. Topological properties of a fuzzy space as location properties of its fuzzy 
topology in the Tychonoff cube. (Russian and Latvian summaries) 92f:54007 

— see also Shteinbuk, V. B., 92j:54008 

Shteinbuk, V. B. (with Shostak, A. P.) On semigroups of continuous transformations of 
fuzzily structured sets. 92j:54008 

Shu, Lan Boundedness of L-fuzzy syntopogenous structures. (Chinese. English summary) 

Sidky, F.I. (with Mishref, M. A. A.) S-fuzzy subgroups. 

— (with Mishref, M. A. A.) Fuzzy cosets and cyclic and abelian fuzzy subgroups. 92:20084 

— (with Mishref, M. A. A.) Fully invariant, characteristic, and S-fuzzy subgroups. 
92b:20096 

— Essential and superfluous fuzzy submodules. 92d:13009 

— (with Khatab, S. A.) Semi-prime fuzzy ideal. 92k:16013 

Singal, M. K. (with Prakash, Niti) Fuzzy preopen sets and fuzzy preseparation axioms. 
92j:54009 

Singer, Dennis (with Singer, P.G.) System identification based on linguistic variables. 

Singer, P.G. see Singer, Dennis 

Sinha, Santi Prasad A note on fuzzy almost compactness. 

Stowitiski, Roman “FLIP”: an interactive method for multiobjective linear programming 
with fuzzy coefficients. (see 92a:90053) 





103 1992 


Song, Feng Ming Possibility evidence—a method of knowledge representation for 
nonstatistically uncertain information. (Chinese. English summary) 

Srivastava, Arun Kumar? (with Ali, Dewan Muslim) A note on K. K. Azad’s fuzzy 
Hausdorffness concept. 92m:54022 

Stehlikova, Beata (with Tirpakova, Anna) A note on limit theorems on F-quantum spaces. 
92£:81025 

Stoeva, Stefka P. On processing of fuzzy production systems. 

Stojakovi¢, Mila R"-valued fuzzy random variable. (Serbo-Croatian summary) 

Stout, Lawrence Neff A survey of fuzzy set and topos theory. 92h:03087 

Sudrez Garcia, Fermin see Ferndndez, Manuel J., (92b:00044) 

Sugeno, Michio (with Tanaka, Kazuo) Successive identification of a fuzzy model and its 
applications to prediction of a complex system. 

— see also Murofushi, T., 92m:28026 

Sunouchi, Haruo (with Morioka, Masaomi) Some properties on the connectivity of a fuzzy 
graph. (Japanese. English summary) 

Suzuki, Hisakichi Atoms of fuzzy measures and fuzzy integrals. 92g:28044 

Takahashi, Junya see Sakawa, Masatoshi; et al., 92b:90182 

Tanaka, Hideo (with Ishibuchi, H.) Identification of possibilistic linear systems by 
quadratic membership functions of fuzzy parameters. 

— see also Inuiguchi, Masahiro; et al., (92a:90053) 

Tanaka, Kazuo see Sugeno, Michio 

Tang, Jian Gang Free LF modules. (Chinese. English summary) 

Tanino, Tetsuzo Fuzzy preference relations in group decision making. (see 92g:90015) 

— On group decision making under fuzzy preferences. (see 92b:90011) 

Tantawy, O. A. see Mashhour, Ali S.; et al., 92j:54007 

Te, Gu Si see Bai, Yong Cheng; et al. 

Teghem, Jacques, Jr. see Roubens, Marc, 92k:90059 

Tepavéevié, Andreja see SeSelja, Branimir, 92m:94027 

(Testemale, Claudette) see Dubois, Didier, 92b:90018 

Tirpdkova, Anna see Stehlikova, Beata, 92f:81025 

Trepat, Albert see Gardeiies, Ernest; et al., 92a:65152 

Tseng, Tsueng Yao (with Klein, Cerry M.) A new algorithm for fuzzy multicriteria decision 
making. 

Tserkovnyi, A. E. see Aliev, R. A.; et al., 92k:93004 

Tyagi, B. K. see Ajmal, Naseem, 92g:54003 

Ulyanov, S. V. see Aliev, R. A.; et al., 92¢:93054 

Verdegay, J. L. see Delgado, M.; et al., 92d:90115 and (92a:90053) 

Vila, Maria A. see Delgado, M.; et al., 92d:90115 and (92a:90053) 

Vincke, Philippe see Roubens, Marc, (92g:90015) 

Viscolani, Bruno see Pederzoli, Giorgio, 92g:90179 

Voxman, William see Goetschel, Roy, Jr., 92a:05035; 92f:05030 and 92g:05057 

Wang, En Yuan A generalization of L-fuzzy continuous order-homeomorphisms. (Chinese. 
English summary) 

Wang, En Zeng see Xie, En Hui; et al. 

Wang, Ge Ping /(L)-valued semicontinuous mappings and a new class of induced spaces. 
(Chinese. English summary) 92a:54005 

— Induced /(L)-fuzzy topological spaces. 92k:54009 

Wang, Guang Yuan see Ou, Jin Ping’; et al. 

Wang, Hong Xu see Lou, Kuo Lu; et al. 

Wang, Jia Sheng A class of fuzzy self-adaptive controllers. (Chinese. English summary) 

Wang, Pei Zhuang (with Zhang, Dazhi; Sanchez, Elie; Lee, E. Stanley) Latticized linear 
programming and fuzzy relation inequalities. 92i:90062 

— see also Ou, Jin Ping’; et al. 

Wang, Shouhong see Archer, Norman P. 

Wang, Zhen Yuan On the null-additivity and the autocontinuity of a fuzzy measure. 
92i:28027 

Warner, M. W. Frame-fuzzy points and membership. 92g:54005 

Watanabe, T. (with Ichihashi, Hidetomo) Iterative fuzzy modeling using membership 
function of degree n and its applications to crane control. 

Weber, Siegfried Conditional measures and their applications to fuzzy sets. 92k:28034 

— see also Klement, Erich Peter, 92a:28015 

Wei, Feng Ying see Cao, Hong Xing; et al. 

Wen, Chuan Yuan see Cai, Kai Yuan; et al. 

Weng, Wen Hui Fuzzy quotient space of linear spaces. (Chinese. English summary) 

Whalen, T. (with Bronn, C.) Evidential teams. (see 92b:90011) 

Wiweger, Antoni On topological rough sets. (Russian summary) 92h:54005 

Wau, Chuan Sheng A new definition for uniform convergence of series of fuzzy-valued 
functions. (Chinese. English summary) 

Wa, Cong Xin (with Ma, Ming) Series, integrals and integral equations of fuzzy set-valued 
mappings. (Chinese. English summary) 92c:26016 

— (with Jin, Cong) Differentiation of operators on fuzzy normed spaces. (Chinese. English 
summary) 92h:46062 

— (with Ma, Ming; Li, Ke Xiu) Continuity and boundedness of operators on fuzzy normed 
spaces. (Chinese. English summary) 924:47096 

— (with Wu, Jian Rong”) Quasipseud rization of fuzzy bitopological spaces. (Chinese. 
English summary) 

Wu, Guang Qing (with Zheng, Chong You) Fuzzy boundary and characteristic properties of 
order-homomorphisms. 92b:54014 

Wu, Jian Rong” see Wu, Cong Xin; et al. 

Wu, Meng Da Convergence of fuzzy series in .%(R”). (Chinese. English summary) 
92m:54023 

Wuyts, P. On Ro and R, fuzzy topological spaces: a counterexample. 

— see also Lowen-Colebunders, Eva; et al., 92f:54005 

Xi, Ou Gen Fuzzy BCK-algebra. 92g:06038 

Xiao, Ping (with Jiang, Hua Biao) Fuzzy semi-open sets and semiseparation axioms. 
(Chinese. English summary) 

Xie, En Hui (with Ye, Yi Ning; Wang, En Zeng) A computational method for fuzzy 
clustering analysis and its application. (Chinese) 

Xie, Xian Zhong (with Liu, Wang Jin) L-fuzzy C quasi-uniform structures. (Chinese. 
English summary) 





SET THEORY 


04A72 


Xu, Cheng Wei Linguistic decoupling control of fuzzy multivariable processes. 92k:93080 

Xu, Jian Jun? Multiplicativity of local F-compactness in L-fuzzy topological spaces. 
(Chinese. English summary) 

Xu, Luo Shan The strong Hausdorff separation property in L-fuzzy topological spaces. 
(Chinese. English summary) 92k:54010 

Xu, Xiao Quan Sheaf structures of N-compact sets and fuzzy Wallace theorem. 92h:54010 

— Sheaf structures of N-compact sets and the fuzzy Wallace theorem. (Chinese) 92j:54010 

Yadav, Pratibha see Kumar, I. J.; et al., 92m:20065 

Yager, Ronald R. On probabilities induced by multi-valued mappings. 92g:68138 

Yamashita, Hajime Structure analysis of fuzzy graph and its application. (Japanese. English 
summary) 

Yan, Shi Jie A study on multivariable fuzzy controllers. (Chinese) 

Yang, Taeyong (with Ignizio, James P.; Kim, Hyun-Joon) Fuzzy programming with 
nonlinear membership functions: piecewise linear approximation. 92i:90119 

Yang, Yao Chi An arrangement on an n-dimensional cube. (Chinese. English summary) 

Yano, Hitoshi see Sakawa, Masatoshi; et al., 92b:90182; 92i:90089; (92a:90053) and 
(92k:68001) 

Ye, Yi Ning see Xie, En Hui; et al. 

Yen, John A framework of fuzzy evidential reasoning. (see 92m:68007) 

Yi, Yun Level structures of fuzzy topology. (Chinese) 

Ying, Ming Sheng A new approach for fuzzy topology. I. 92b:54015 

Yonezawa, Y. see Li, Y. 

Yoshioka, Nobuo (with Matsumoto, Masachika; Oomura, Kouichi) Curve generation by 
fuzzy control. (Japanese. English summary) 92a:65373 

Yu, Chun Hai (with Ma, Ji Liang) L-fuzzy topological groups. 92k:22001 

Yu, Ze Chang A fuzzy similarity matrix equation. (Chinese. English summary) 

Yuan, Yufei Criteria for evaluating fuzzy ranking methods. 

(Zadeh, Lotfi A.) see Dubois, Didier, 92b:90018; Kaufmann, Arnold, 92h:94041 and Kosko, 
Bart, 92k:92003 

Zahariev, Stoichko Group decision making with fuzzy and nonfuzzy evaluations. 
92b:90031 

— On Orlovsky’s definition of nondomination. 92c:90012 

Zahedi, M. M. A characterization of L-fuzzy prime ideals. 92k:16014 

Zahran, A. M. see Allam, A. A. 

Zakharova, E.G. see Aliev, R. A.; et al., 92c:93054 

Zeng, Huan Liang A note on fuzzy topological linear spaces. (Chinese. English summary) 
92b:46127 

Zeyada, F.M. see Abd El-Monsef, M. E.; et al. 

Zhang, Dazhi see Wang, Pei Zhuang; et al., 92i:90062 

Zhang, De Xue The stratification structure of lattice-valued semicontinuous functions. 
(Chinese. English summary) 

Zhang, Guang Quan Semilattice structure of all extensions of the possibility measure and 
the consonant belief function on the fuzzy set. 92i:28028 

Zhang, Hua Guang (with Chen, Lai Jiu) A technique for handling fuzzy decision-making 
problems concerning two kinds of uncertainty. 

Zhang, Ming Lian see Cai, Kai Yuan; et al. 

Zhang, Sen see Li, Wan Qing; et al. 

Zhang, Shi Ying (with Lin, Jing?) Fuzzy rank-ordering of hierarchies. (Chinese. English 
summary) 

Zhang, Tai Ling (with Heatwole, Conrad D.) Representing fuzzy, uncertain evidences 
having variable weights: confidence propagation for rule-based systems. 

Zhang, Wen Xiu (with Ma, Ji Feng; Li, Teng; Li, Ai Jie; Gao, Yong; Dai, Ning) Set-valued 
measures, random sets and set-valued random processes. (Chinese. English summary) 

Zhao, Bin Weight, character and density of induced space. 

Zhao, Cui Kui Invertibility conditions for matrices over distributive lattices. (Chinese. 
English summary) 92i:15006 

Zhao, De Qi Fuzzy topology—lattice topology—latticelyzed topology. 

Zhao, Ming Qing Gray quadratic forms. (Chinese. English summary) 92f:15014 

Zhao, Xi Wu Some properties of fuzzy sublattice groups. (Chinese. English summary) 

— Fuzzy congruences of lattice-ordered groups. (Chinese. English summary) 

Zheng, Chong You see Wu, Guang Qing, 92b:54014 

Zhou, Fei Yue The relative interiors of convex fuzzy sets under induced fuzzy topology. 
92k:54011 

Zhou, Zhi Xiu A nonfuzzy topological model for N-compactness. (Chinese. English 
summary) 92j:54011 

Zweifel, P. see Kofler, E. 


Items listed otherwise than by author 
Aggregation and best choices of imprecise opinions * Aggregation and best choices of 
imprecise opinions. 
Brussels * Aggregation and best choices of imprecise opinions. 
Budapest * Joint Hungarian-Japanese Symposium on Fuzzy Systems and Applications. 
92g:04002 
Congress: 
International Fuzzy Systems Association (IFSA) * Industrial engineering methods. 
92m:00044 
Industrial engineering methods * Industrial engineering methods. 92m:00044 
Lecture Notes in Economics and Mathematical Systems * Nonconventional preference 
relations in decision making. 92g:90015 
Liptovsky Jan * Proceedings of the Second Winter School on Measure Theory. 92b:00045 
Multiperson decision making models using fuzzy sets and possibility theory * Multiperson 
decision making models using fuzzy sets and possibility theory. 92b:90011 
Nonconventional preference relations in decision making * Nonconventional preference 
relations in decision making. 92g:90015 
Proceedings: 
School on Measure Theory * Proceedings of the Second Winter School on Measure 
Theory. 92b:00045 
School: 
Measure Theory * Proceedings of the Second Winter School on Measure Theory. 
92b:00045 





04A72 


Seattle, WA * Industrial engineering methods. 92m:00044 
Special Issue: 
Industrial engineering methods * Industrial engineering methods. $2m:00044 
Symposium: 
Fuzzy Systems and Applications * Joint Hungarian-Japanese Symposium on Fuzzy 
Systems and Applications. 92g:04002 
Workshop: 
Aggregation and Best Choices of Imprecise Opinions * Aggregation and best choices of 
imprecise opinions. 


04A99 Miscellaneous topics 


Wypbraniec-Skardowska, Urszula On a generalization of approximation space. (Russian 
summary) 92¢:04008 


Items with secondary classifications in 04A99 

Blizard, Wayne D. The development of multiset theory. 92i:04001a 

— Correction to: “The development of multiset theory”. 92i:04001b 

Kurepa, Djuro R. Fixpoint approach in mathematics. 92j:00005 

Liu, Huai Jun Some new results about fixed pansystems theorems. (Chinese. English 
summary) 92i:58122 

Morgan, John C., 11 On completeness. 92i:54030 


05-XX Combinatorics {For finite fields, 
see 11Txx.} 


05-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 

Brigham, Robert C. (with Dutton, Ronald D.) A compilation of relations between graph 
invariants. Supplement I. 92j:05001 

Bussemaker, F.C. (with Cameron, Peter J.; Seidel, J. J.; Tsaranov, S. V.) * Tables of signed 
graphs. 92g:05001 

Cameron, Peter J. see Bussemaker, F. C.; et al., 92g:05001 

Dutton, Ronald D. see Brigham, Robert C., 92j:05001 


Lineburg, Heinz * Tools and fundamental constructions of combinatorial mathematics. 
92£:05001 


Seidel, J. J. see Bussemaker, F. C.; et al., 92g:05001 
Tsaranov, S. V. see Bussemaker, F. C.; et al., 92g:05001 


05-01 Instructional exposition (textbooks, tutorial papers, etc.) 

Bender, Edward A. (with Williamson, S. Gill) * Foundations of applied combinatorics. 
92k:05001 

Morris, Charles see Vince, A., 92k:05002 

Piff, Mike * Discrete mathematics. 92m:05001 

Slomson, Alan * An introduction to combinatorics. 92e:05001 

Vince, A. (with Morris, Charles) * Discrete mathematics for computing. 92k:05002 

Williamson, S. Gill see Bender, Edward A., 92k:05001 


Items with secondary classifications in 05-01 

Honsberger, Ross * More mathematical morsels. 92b:00004 

Jungnickel, Dieter * Graphen, Netzwerke und Algorithmen. (German) [Graphs, networks 
and algorithms] 92d:05045 


Lineburg, Heinz * Tools and fundamental constructions of combinatorial mathematics. 
92£:05001 


05-02 Research exposition (monographs, survey articles) 


(Bolotnikov, Yu. V.) see Goulden, Ian P., 92m:05002 

Diestel, Reinhard Decomposing infinite graphs. 92k:05003 

Goulden, Ian P. (with Jackson, David M.) * TlepeacamTenbHas KoMOuHaTopuka. (Russian) 
[Combinatorial enumeration] 92m:05002 

Jackson, David M. see Goulden, Ian P., 92m:05002 

Leont'ev, V.K. Combinatorics: a retrospective and prospects. (Russian) 92j:05002 

(Rota, Gian-Carle) see Goulden, Ian P., 92m:05002 

(Tarakanov, V.E.) see Goulden, Ian P., 92m:05002 

(Zhukov, A. E.) see Goulden, Ian P., 92m:05002 


Items with secondary classifications in 05-02 

Diestel, Reinhard * Graph decompositions. 92a:05038 

Erdés, Paul Some of my favourite unsolved problems. 92f:11003 
(Johnson, Charles Royal) see Matrix theory and applications, 92a:15001 


Items listed otherwise than by author 
Matrix theory and applications * Matrix theory and applications. 92a:15001 
Phoenix, AZ * Matrix theory and applications. 92a:15001 


Proceedings of Symposia in Applied Mathematics * Matrix theory and applications. 
92a:15001 


SET THEORY 


1992 


05-03 Historical (must also be assigned at least one 
classification number from Section 01) 


(Direr, Albrecht) see Singal, M. K. 
Lenz, Hanfried Half a century of design theory. 92m:05003 
Singal, M. K. Albrecht Diirer and the computer. 


Items with secondary classifications in 05-03 


Aigner, Martin Diskrete Mathematik. [Discrete mathematics] 92g:01046 

Biggs, N. L. (with Lloyd, E. Keith; Wilson, Robin James) The historical background to 
Gerhard Ringel’s work. 92m:01062 

(Corneil, D.G.) see Seidel, J. J., 92m:01098 

(Euler, Leonhard) see Malykh, A. E., 92b:01025 

Halin, Rudolf Das mathematische Werk K. Wagners. [The mathematical work of K. 
Wagner] 92g:01081 

Harborth, Heiko Gerhard Ringel—seventy. 92m:01061 

Lloyd, E. Keith see Biggs, N. L.; et al., 92m:01062 

Malykh, A. E. From the combinatorial legacy of Leonard Euler. (Russian. English 
summary) 92b:01025 

— On the solution of some problems in combinatorial theory. (Russian) 92g:01042 

(Mathon, Rudolf A.) see Seidel, J. J., 92m:01098 

(Ringel, Gerhard) see Harborth, Heiko, 92m:01061 and Biggs, N. L.; et af., 92m:01062 

Seidel, J. J. * Geometry and combinatorics. 92m:01098 

(Wagner, Klaus') see Halin, Rudolf, 92g:01081 

Wilson, Robin James see Biggs, N. L.; et al., 92m:01062 


Items listed otherwise than by author 
Bibliography: 

Ringel, Gerhard see Harborth, Heiko, 92m:01061 

Seidel, Johan Jacob see Seidel, J. J., 92m:01098 
Biography: 

Seidel, Johan Jacob see Seidel, J. J., 92m:01098 
Birthday: 

Ringel, Gerhard see Harborth, Heiko, 92m:01061 


05-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Cockayne, E. J. (with Hewgill, D. E.) Improved computation of plane Steiner minimal 
trees. 92i:05001 

Hewgill, D. E. see Cockayne, E. J., 92i:05001 

van Zanten, A. J. An optimal algorithm for the twin-tower problem. 92a:05001 


Items with secondary classifications in 05-04 

Bar, Gunter On the level-oriented two-dimensional packing with rotation of the rectangles. 
924:68058 

Fack, V. see Van der Jeugt, Joris, 92c:05162 

Hayasaka, Takanori see Saito, Sadao, 92c:05002 

Saito, Sadao (with Hayasaka, Takanori) Langford sequences: some connections with 
complete and additive permutations. 92c:05002 

Van der Jeugt, Joris (with Fack, V.) The Pragacz identity and a new algorithm for 
Littlewood-Richardson coefficients. 92¢:05162 

Vogel, Ute Konstruktion auflésbarer Fast-Blockplane mit Hilfe eines Computers. [Con- 
struction of solvable almost block designs with the aid of acomputer] 92k:05036 


05-06 Proceedings, conferences, collections, etc. 


(Alavi, Yousef) see Graph theory, combinatorics, algorithms, and applications, 92e:05002 

(Beutelspacher, Albrecht) see Proceedings: Conference on Blocking Sets, 92d:05005 

(Billington, Elizabeth J.) see Combinatorial mathematics and combinatorial computing, 
924:05001 and 924:05002 

(Bodendiek, Rainer) see Contemporary methods in graph theory, 92d:05003 

(Bollobas, Béla) see Probabilistic combinatorics and its applications, 92g:05002 

(Capobianco, Michael F.) see Graph theory and its applications: East and West, 92b:05001 

(Chung, Fan R. K.) see Graph theory, combinatorics, algorithms, and applications, 92e:05002 

(Diestel, Reinhard) see Directions in infinite graph theory and combinatorics 

(Donovan, Diane) see Combinatorial mathematics and combinatorial computing, 92d:05001 
and 924:05002 

(Eugeni, Franco) see Proceedings: Conference on Blocking Sets, 924:05005 

(Frieze, Alan M.) see Random graphs, 92m:05005 

(Gionfriddo, Mario) see Graphs, designs and combinatorial geometries, 92d:05004 

(Graham, Ronald L.) see Graph theory, combinatorics, algorithms, and applications, 
92e:05002 

(Guan, Mei Gu) see Graph theory and its applications: East and West, 92b:05001 

(Hedetniemi, Stephen T.) see Topics on domination 

(Hoffman, Frederick) see Proceedings: Conference on Combinatorics, Graph Theory, and 
Computing, 92f:05004; 92f:05005; 92f:05006; 92f:05007; 92i:05002; 92i:05003; 92i:05004; 
92i:05005 and 92i:05006 

(Hsu, D. Frank) see Graph theory and its applications: East and West, 92b:05001 and Graph 
theory, combinatorics, algorithms, and applications, 92e:05002 

(Keedwell, A.D.) see Surveys in combinatorics, 92m:05006 

(Kerber, Adalbert) see Seminar: Combinatorics, 92d:05006 

(Laskar, R.C.) see Topics on domination 

(Luczak, Tomasz) see Random graphs, 92m:05005 

(Mazzocca, Francesco) see Proceedings: Conference on Blocking Sets, 924:05005 

(Mullin, Ronald C.) see Proceedings: Conference on Combinatorics, Graph Theory, and 
Computing, 92f:05004; 92f:05005; 92f:05006; 92f:05007; 92i:05002; 92i:05003; 92i:05004; 
92i:05005 and 92i:05006 

(Oxley, James G.) see Proceedings: Conference on Combinatorics, Graph Theory, and 
Computing, 92i:05002; 92i:05003; 92i:05004; 92i:05005 and 92i:05006 





105 1992 


(Reid, K. Brooks) see Proceedings: Conference on Combinatorics, Graph Theory, and 
Computing, 92f:05004; 92f:05005; 92f:05006 and 92f:05007 

(Simion, Rodica) see Combinatorics and theoretical computer science, 92f:05003 

(Stanton, Ralph Gordon) see Proceedings: Conference on Combinatorics, Graph Theory, and 
Computing, 92£:05004; 92f:05005; 92f:05006; 92f:05007; 92i:05002; 92i:05003; 92i:05004; 
92i:05005 and 92i:05006 

(Street, Anne Penfold) see Combinatorial mathematics and combinatorial computing, 
92d:05001 and 924:05002 

(Tian, Feng) see Graph theory and its applications: East and West, 92b:05001 

(Wagner, Klaus') see Contemporary methods in graph theory, 924:05003 

(White, Neil L.) see Matroid applications, 92m:05004 


Items listed otherwise than by author 


Baton Rouge, LA * Proceedings of the Twenty-second Southeastern Conference on 
Combinatorics, Graph Theory, and Computing. 92i:05002 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92i:05003 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92i:05004 
— *& Proceedings of the Twenty-second Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92i:05005 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92i:05006 
Boca Raton, FL * Proceedings of the Twenty-first Southeastern Conference on Combina- 
torics, Graph Theory, and Computing. 92f:05004 
— * Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92f:05005 
— * Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92f:05006 
— * Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92f:05007 
Brisbane * Combinatorial mathematics and combinatorial computing. Vol. 1. 92d:05001 
— * Combinatorial mathematics and combinatorial computing. Vol. 2. 924:05002 
Cambridge * Directions in infinite graph theory and combinatorics. 
Catania * Graphs, designs and combinatorial geometries. 92d:05004 
Colloquium: 
Infinite Graph Theory and Combinatorics * Directions in infinite graph theory and 
combinatorics. 
Combinatorial mathematics and combinatorial computing * Combinatorial mathematics and 
combinatorial computing. Vol. 1. 92d:05001 
— * Combinatorial mathematics and combinatorial computing. Vol. 2. 92d:05002 
— * Combinatorial mathematics and combinatorial computing. 92f:05002 
Combinatorial theory and related topics * Kumiawaseron to sono shuhen no kenkyd. 
(Japanese) [Combinatorial theory and related topics] 92a:05002 
Combinatorics and theoretical computer science * Combinatorics and theoretical computer 
science. 92f:05003 
Conference: 
Blocking Sets * Proceedings of the First International Conference on Blocking Sets. 
92d:05005 
Combinatorial * Surveys in combinatorics, 1991. 92m:05006 
Combinatorial Mathematics and Combinatorial Computing * Combinatorial mathematics 
and combinatorial computing. Vol. 1. 92d:05001 
— * Combinatorial mathematics and combinatorial computing. Vol. 2. 92d:05002 
— * Combinatorial mathematics and combinatorial computing. 92f:05002 
Combinatorics and Theoretical Computer Science * Combinatorics and theoretical 
computer science. 92f:05003 
Combinatorics, Graph Theory, and Computing * Proceedings of the Twenty-first 
Southeastern Conference on Combinatorics, Graph Theory, and Computing. 
92£:05004 
— * Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92f:05005 
— * Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92f:05006 
— * Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92f:05007 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05002 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05003 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05004 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05005 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05006 
Graph Theory and its Applications * Graph theory and its applications: East and West. 
92b:05001 
Graph Theory, Combinatorics, Algorithms, and Applications * Graph theory, combina- 
torics, algorithms, and applications. 92¢:05002 
Graphs, Designs and Combinatorial Geometries * Graphs, designs and combinatorial 
geometries. 92d:05004 
Contemporary methods in graph theory * Contemporary methods in graph theory. 
924:05003 
Directions in infinite graph theory and combinatorics * Directions in infinite graph theory 
and combinatorics. 
Giessen * Proceedings of the First International Conference on Blocking Sets. 92d:05005 
Graph theory and its applications: East and West * Graph theory and its applications: East 
and West. 92b:05001 
Graph theory, combinatorics, algorithms, and applications * Graph theory, combinatorics, 
algorithms, and applications. 92¢:05002 


COMBINATORICS 


05-06 


Graphs, designs and combinatorial geometries * Graphs, designs and combinatorial 
geometries. 92d:05004 

Guildford * Surveys in combinatorics, 1991. 92m:05006 

Jinan * Graph theory and its applications: East and West. 92b:05001 

Matroid applications * Matroid applications. 92m:05004 

Oberfranken * Séminaire Lotharingien de Combinatoire. (German) [Lorraine Seminar on 
Combinatorics] 92d:05006 

Palmerston North * Combinatorial mathematics and combinatorial computing. 92f:05002 

Poznan * Random graphs. Vol. 2. 92m:05005 

Probabilistic combinatorics and its applications * Probabilistic combinatorics and its 
applications. 92g:05002 

Proceedings: 


Conference on Blocking Sets * Proceedings of the First International Conference on 
Blocking Sets. 92d:05005 
Conference on Combinatorics, Graph Theory, and Computing * Proceedings of the 
Twenty-first Southeastern Conference on Combinatorics, Graph Theory, and 
Computing. 92f:05004 
— *& Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92f:05005 
— * Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92f:05006 
— *& Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph 
Theory, and Computing. 92f:05007 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05002 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05003 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05004 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05005 
— * Proceedings of the Twenty-second Southeastern Conference on Combinatorics, 
Graph Theory, and Computing. 92i:05006 
Proceedings of Symposia in Applied Mathematics * Probabilistic combinatorics and its 
applications. 92g:05002 
Random graphs * Random graphs. Vol. 2. 92m:05005 
San Francisco,CA * Graph theory, combinatorics, algorithms, and applications. 92e:05002 
— * Probabilistic combinatorics and its applications. 92g:05002 
Seminar: 
Combinatorics * Séminaire Lotharingien de Combinatoire. (German) [Lorraine Seminar 
on Combinatorics] 924:05006 
Random Graphs and Probabilistic Methods in Combinatorics * Random graphs. Vol. 2. 
92m:05005 
Special Issue: 
Steiner problem * The Steiner problem. 92h:05001 
Steiner problem * The Steiner problem. 92h:05001 
Surveys in combinatorics * Surveys in combinatorics, 1991. 92m:05006 
Symposium: 
Combinatorial Theory and Related Topics * Kumiawaseron to sono shuhen no kenkyd. 
(Japanese) [Combinatorial theory and related topics] 92a:05002 
Topics on domination * Topics on domination. 
Washington, DC * Combinatorics and theoretical computer science. 92f:05003 


Items with secondary classifications in 05-06 

(Babi¢, Darko) see Mathematical chemistry and computation, 92f:00026 
(Baker, Alan) see Tribute to Paul Erdés, 92b:00053 

(Bollobds, Béla) see Tribute to Paul Erdés, 92b:00053 

(Erdés, Paul) see Tribute to Paul Erdés, 92b:00053 

(Graovac, Ante) see Mathematical chemistry and computation, 92f:00026 
(Guy, Richard K.) see Combinatorial games, 92d:90138 

(Hajnal, Andras) see Tribute to Paul Erdés, 92b:00053 

(Hirschfeld, J. W. P.) see Advances in finite geometries and designs, 92f:51001 
(Hughes, Daniel R.) see Advances in finite geometries and designs, 92f:51001 
(Mohring, R. H.) see Graph-theoretic concepts in computer science, 922:68002 
(Thas, J. A.) see Advances in finite geometries and designs, 92f:51001 
(Zhuravlév, Yu. 1.) see Computer and choice problems, 92g:90008 

(Zivkovi¢, Tomislav P.) see Mathematical chemistry and computation, 92f:00026 


Items listed otherwise than by author 
Advances in finite geometries and designs * Advances in finite geometries and designs. 
92:51001 
Berlin * Graph-theoretic concepts in computer science. 92a:68002 
Birthday: 
Erdés, Paul * A tribute to Paul Erdés. 92b:00053 
Chelwood Gate * Advances in finite geometries and designs. 92f:51001 
Columbus, OH * Combinatorial games. 924:90138 
Combinatorial games * Combinatorial games. 924:90138 
Computer and cheice problems * Komnsirep x 3afa4H BbIGopa. [The computer and choice 
problems] 92g:90008 
Conference: 
Finite Geometries and Designs * Advances in finite geometries and designs. 92f:51001 
Mathematical Chemistry and Computation * Mathematical chemistry and computation. 
92f:00026 
Numerical Mathematics and Computing * Proceedings of the Twenty-first Manitoba 
Conference on Numerical Mathematics and Computing. 
— * Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics 
and Computing. 
Dubrovnik * Mathematical chemistry and computation. 92f:00026 
Graph-theoretic concepts in computer science * Graph-theoretic concepts in computer 
science. 92a:68002 





05-06 


Lecture Notes in Computer Science * Graph-theoretic concepts in computer science. 
92a:68002 

Mathematical chemistry and computation * Mathematical chemistry and computation. 
92f:00026 


Conference on Numerical Mathematics and Computing * Proceedings of the Twenty-first 
Manitoba Conference on Numerical Mathematics and Computing. 
— * Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics 
and Computing. 
Proceedings of Symposia in Applied Mathematics * Combinatorial games. 92d:90138 
Tribute to Paul Erdés * A tribute to Paul Erdés. 92b:00053 
Winnipeg, MB * Proceedings of the Twenty-first Manitoba Conference on Numerical 
Mathematics and Computing. 
— * Proceedings of the Twenty-first Manitoba Conference on Numerical Mathematics and 
Computing. 
Workshop: 
Graph-theoretic Concepts in Computer Science * Graph-theoretic concepts in computer 
science. 92a:68002 


05Axx Classical combinatorial problems 


Items with secondary classifications in 05SAxx 
Slomson, Alan * An introduction to combinatorics. 92e:05001 


05A05 Combinatorial choice problems (subsets, representatives, 
permutations) 


Aigner, Martin (with Duffus, Dwight; Kleitman, Daniel J.) Partitioning a power set into 
union-free classes. 92f:05008 

Bohus, Géza On the discrepancy of 3 permutations. 92i:05007 

Darmon, Henri (with McKay, John) A continued fraction and permutations with fixed 
points. 92a:05003 

Dorninger, D. (with Hule, H.) On the number of permutations arising from a problem in 
cell-biology. 92g:05003 

Duffus, Dwight see Aigner, Martin; et al., 92f:05008 

Foundas, E. (with Sapounakis, A.) Algorithms on involutions. 

Getu, Seyoum (with Woan, Wen Jin) Permutations on [m] with descending local maxima. 
92j:05003 

Hayasaka, Takanori see Saito, Sadao, 92c:05002 

Hule, H. see Dorninger, D., 92g:05003 

Hwang, Frank K. Updating a tale of two coins. (see 92b:05001) 

Kitagawa, Fumio An algorithm for constructing a weight-controlled subset and its 
application to graph coloring problem. 92g:05004 

Kleitman, Daniel J. see Aigner, Martin; et al., 92f:05008 

Klingsberg, Paul (with Schmalzried, Cynthia) A family of constructive bijections involving 
Stirling permutations. 92i:05008 

Kuczma, Marcin E. On permutations involving pairs of twins. 92f:05009 

Le Conte de Poly-Barbut, Claude Le diagramme du treillis permutoédre est intersection des 
diagrammes de deux produits directs d’ordres totaux. (English summary) [The diagram 
of the permutohedron lattice is the intersection of the diagrams of two direct products of 
linear orders] 92a:05004 

Lee, E. Stanley see Wang, Pei Zhuang; et al., 92h:05002 

McKay, John see Darmon, Henri, 92a:05003 

Mullin, Ronald C. (with Stinson, Douglas R.; Wallis, W. D.) Sets of properly separated 
permutations. 92g:05005 

Nelsen, Roger B. (with Schmidt, Harvey, Jr.) Chains in power sets. 92c:05001 

Odlyzko, Andrew M. (with Wilf, Herbert S.) Functional iteration and the Josephus 
problem. 92g:05006 

Panayotopoulos, A. Derivatives of permutations. 

Renaud, J.-C. Is the union-closed sets conjecture the best possible? 92f:05010 

Saito, Sadao (with Hayasaka, Takanori) Langford sequences: some connections with 
complete and additive permutations. 92c:05002 

Sapounakis, A. see Foundas, E. 

Savage, Carla D. Generating permutations with k-differences. 92c:05003 

Schmalzried, Cynthia see Klingsberg, Paul, 92i:05008 

Schmidt, Harvey, Jr. see Nelsen, Roger B., 92c:05001 

Sillke, Torsten Zur Kombinatorik von Permutationen. (English summary) [On the 
combinatorics of permutations] 92j:05004 

Stinson, Douglas R. see Mullin, Ronald C.; et al., 92g:05005 

Tan, Sie-Keng see Wang, Pei Zhuang; et al., 92h:05002 

Wallis, W. D. see Mullin, Ronald C.; et al., 92g:05005 

Wang, Pei Zhuang (with Lee, E. Stanley; Tan, Sie-Keng) A combinatoric formula. 
92h:05002 

Watanabe, Mika Arrow relations on families of finite sets. 92i1:05009 

West, Douglas B. The maximum number of winning 2-sets. 92i:05010 

Wiedemann, Doug A computation of the eighth Dedekind number. 92h:05003 

Wilf, Herbert S. see Odlyzko, Andrew M., 92g:05006 

Woan, Wen Jin see Getu, Seyoum, 92j:05003 

Yao, Tian Xing On optimal arrangement of 12 points. 92g:05007 


Items with secondary classifications in 05A05 

Alcaide, David see Sicilia Rodriguez, J., (92m:00051) 

Banaszczyk, W. The Steinitz lemma in /2,. 92m:52011 

Carroll, Tim (with Hilton, Peter J.; Pedersen, Jean) Eulerian numbers, pseudo-Eulerian 
coefficients, and weighted sums in Pascal’s triangle. 92k:11019 

Ding, Ke Quan An algorithm for minimal number-grouped partitions of random permuta- 
tions. (Chinese summary) 92d:05153 

El-Desouky, B.S. A generalization of selecting adjacent balls without separations. 
92b:05003 


COMBINATORICS 1992 106 


Frieze, Alan M. On the length of the longest monotone subsequence in a random permuta- 
tion. 92¢:60020 

Gessel, Ira M. A coloring problem. 92h:05053 

Griggs, Jerrold R. The Sperner property in geometric and partition lattices. (see 92f:01002) 

Hilton, Peter J. see Carroll, Tim; et al., 92k:11019 

Labiw, Anna A weighted min-max relation for intervals. 92k:05040 

Malykh, A. E. On the solution of some problems in combinatorial theory. (Russian) 
92g:01042 

Paley, Hiram Derangements and a game of chance. (Malayan summary) 92i:90138 

Pedersen, Jean see Carroll, Tim; et al., 92k:11019 

Shevelev, V.S. Sums of subpermanents of linear hulls of permutation matrices. (Russian) 
92k:15023 

Sicilia Rodriguez, J. (with Alcaide, David) Job scheduling on several machines. (Spanish. 
English summary) (see 92m:00051) 

Soulié, E. Une permutation sur un ensemble dont le cardinal est un nombre triangulaire. 
(English summary) [A permutation on a set whose cardinality is a triangular number] 
92f:68131 

Vaughan, R.C. (with Wooley, Trevor D.) Ona problem related to one of Littlewood and 
Offord. 92m:11114 

Wooley, Trevor D. see Vaughan, R. C., 92m:11114 

Wa, Qi Qi Maximal coefficient of the multinomial (x, + x2 + --- + x,)". 92¢:05003 

Yang, Yao Chi An arrangement on an n-dimensional cube. (Chinese. English summary) 


05A10 Factorials, binomial coefficients, combinatorial functions 
[see also 11B65, 33Cxx] 


Ando, Shiro (with Sato, Daihachiro) A GCD property on Pascal’s pyramid and the 
corresponding LCM property of the modified Pascal pyramid. 92i:05011 

Antzoulakos, Demetris L. see Philippou, Andreas N., 92i:05013 

Besrukov, S. L. see Labahn, Roger, 92g:05010 

Brand, Neal (with Das, Sajal K.; Jacob, Roy Thomas, Jr.) The number of nonzero entries in 
recursively defined tables modulo primes. 92h:05004 

Collins, Karen L. (with Hovey, Mark) A bijective proof for the parity of Stirling numbers. 
92c:05004 

Constantineau, Ivan A generalization of the Pfaff-Saalschiitz theorem. 92g:05008 

Das, Sajal K. see Brand, Neal; et al., 92h:05004 

Dekker, J.C. E. Myhill’s theory of combinatorial functions. 92c:05005 

Fjelstad, P. Extending Pascal’s triangle. 92a:05005 

— The binomial theorem and the extended Pascal’s triangle. 92a:05006 

— Pascal’s triangle on a torus and on a binary tree. 92a:05007 

Frants, V. see Wei, Wan Di; et al., 92k:05004 

Grassl, Richard see Johnson, Karen Anne; et al., 92m:05007 

Hilton, Peter J. (with Pedersen, Jean) The ballot problem and Catalan numbers. 92b:05002 

Hovey, Mark see Collins, Karen L., 92c:05004 

Jacob, Roy Thomas, Jr. see Brand, Neal; et al., 92h:05004 

Johnson, Karen Anne (with Grassl, Richard; McCanna, Joseph; Székely, L. A.) Pascalian 
rectangles modulo m. 92m:05007 

Korec, Ivan Generalized Pascal triangles. 92g:05009 

Kreweras, Germain Sur les polynémes de Catalan simples et doubles. (English summary) 
[On simple and double Catalan polynomials] 92i:05012 

Labahn, Roger (with Besrukov, S. L.) Asymptotic solution of a special equation with 
binomial coefficients. 92g:05010 

Longyear, Judith Q. Graphs and permutations. 92d:05007 

McCanna, Joseph see Johnson, Karen Anne; et al., 92m:05007 

Pedersen, Jean see Hilton, Peter J., 92b:05002 

Philippou, Andreas N. (with Antzoulakos, Demetris L.) Generalized multivariate Fibonacci 
polynomials of order k and the multivariate negative binomial distributions of the same 
order. 92i:05013 

Redish, K. A. (with Smyth, W. F.) Closed form expressions for the iterated floor function. 
92g:05011 

Sato, Daihachiro see Ando, Shiro, 92i:05011 

Shapiro, Jacob see Wei, Wan Di; et al., 92k:05004 

Smyth, W. F. see Redish, K. A., 92g:05011 

Stephens, C. J. Symmetry in disguise. 92i:05014 

Sved, Marta Fractals, recursions, divisibility. 92g:05012 

Székely, L. A. see Johnson, Karen Anne; et al., 92m:05007 

Wei, Wan Di (with Shapiro, Jacob; Frants, V.) A comparison theorem for multinomial 
coefficients. 92k:05004 

Wu, Qi Qi Maximal coefficient of the multinomial (x; + x2 + --- + x,)". 92¢:05003 


Items with secondary classifications in 05A10 

Ahlfors, Lars V. The binomial theorem in the algebra A*. 92j:15016 

Ando, Shiro (with Sato, Daihachiro) Translatable and rotatable configurations which give 
equal product, equal GCD and equal LCM properties simultaneously. 92i:11026 

Bicknell-Johnson, Marjorie On mental calculation of repeating decimals, finding Fibonacci 
numbers and a connection to Pascal’s triangle. 92g:11016 

Bos, P. see Breckenridge, W.; et al., 92m:05008 

Breckenridge, W. (with Gastineau-Hills, H.; Nelson, Adrian M.; Bos, P.; Calvert, G.; 
Wehrhahn, K.) Lattice paths and Catalan numbers. 92m:05008 

Butzer, P. L. (with Hauss, M.) On Stirling functions of the second kind. 92k:11023 

Caki¢, Nenad A note on Euler’s numbers. 92g:11024 

Calvert, G. see Breckenridge, W.; et al., 92m:05008 

Chakerian, Don (with Logothetti, Dave) Cube slices, pictorial triangles, and probability. 
92h:52007 

Chu, Wen Chang Some multifold reciprocal transformations with applications to series 
expansions. 92d:05008 

Dilcher, Karl (with Skula, Ladislav; Slavut-skii, I. Sh.) * Bernoulli numbers. 92f:11001 

Dodd, Fred (with Peele, Rhodes) Some counting problems involving the multinomial 
expansion. 92d:11015 





107 1992 


Dress, Andreas W. M. (with Siebeneicher, Christian) On the number of solutions of certain 
linear Diophantine equations. 92a:11148 

Ewell, John A. The Catalan numbers and pi. 92k:11029 

Gastineau-Hills, H. see Breckenridge, W.; et al., 92m:05008 

Getu, Seyoum see Shapiro, Louis W.; et al., 92j:05117 

Granville, Andrew (with Zhu, Yiliang) Representing binomial coefficients as sums of 
squares. 92b:11009 

Hauss, M. see Butzer, P. L., 92k:11023 

Hilton, Peter J. (with Pedersen, Jean; Rosenthal, William) Pascalian triangles and 
extensions to hexagons. 92c:11015 

Kan, I. D. Mobius functions of the union of partial orders. (Russian) 92i:06003 

Logothetti, Dave see Chakerian, Don, 92h:52007 

Marcu, Danut Note on the Stirling numbers. (Serbo-Croatian summary) 92d:11017 

Marsaglia, George (with Marsaglia, John C. W.) A new derivation of Stirling’s approxima- 
tion to n!. 92b:41049 

Marsaglia, John C. W. see Marsaglia, George, 92b:41049 

Nelson, Adrian M. see Breckenridge, W.; et al., 92m:05008 

Niederhausen, Heinrich Factorials and Stirling numbers in the algebra of formal Laurent 
series. 92j:05012 

Palacios, José Luis On coin tossing, Markov chains and combinatorial identities. (Spanish 
summary) 92h:60015 

Pedersen, Jean see Hilton, Peter J.; et al., 92c:11015 

Peele, Rhodes see Dodd, Fred, 924:11015 

Raina, R. K. On a reduction formula involving combinatorial coefficients and hypergeomet- 
ric functions. (Italian summary) 92b:33041 

Rosenthal, William see Hilton, Peter J.; et al., 92c:11015 

Sato, Daihachiro see Ando, Shiro, 92i:11026 

Shapiro, Louis W. (with Getu, Seyoum; Woan, Wen Jin; Woodson, Leon C.) The Riordan 
group. 92j:05117 

Siebeneicher, Christian see Dress, Andreas W. M., 92a:11148 

Skula, Ladislav see Dilcher, Karl; et al., 92f:11001 

Slavut-skii, I. Sh. see Dilcher, Karl; et al., 92f:11001 

Wehrhahn, K. see Breckenridge, W.; et al., 92m:05008 

Woan, Wen Jin see Shapiro, Louis W.; et al., 92j:05117 

Woodson, Leon C. see Shapiro, Louis W.; et al., 92j:05117 

Yamato, Hajime A probabilistic approach to Stirling numbers of the first kind. 92d:60013 

— Probabilistic proofs of relations with Stirling numbers of the first kind by Dirichlet 
process. 92¢:11016 

Zeilberger, Doron A holonomic systems approach to special functions identities. 92b:33014 

Zhu, Yiliang see Granville, Andrew, 92b:11009 


Items listed otherwise than by author 


Bibliography: 
Bernoulli numbers see Dilcher, Karl; et al., 92f:11001 


05A15 Exact enumeration problems, generating functions 
[see also 33Cxx, 33Dxx] 


Acketa, Dragan M. (with Tosié, Ratko) A branch-and-bound technique for counting 
nonisomorphic hexagonal systems. 92c:05006 

(Agur, Z.) see Granville, Andrew, 92k:05008 

Asano, Tetsuo Generating and counting valid patterns in routes between two points. 
92i:05015 

Bos, P. see Breckenridge, W.; et al., 92m:05008 

BoSnjak, Ivica see Todi¢, Ratko, 92a:05011 

Breckenridge, W. (with Gastineau-Hills, H.; Nelson, Adrian M.; Bos, P.; Calvert, G.; 
Wehrhahn, K.) Lattice paths and Catalan numbers. 92m:05008 

Butler, Jon T. On the number of propagation paths in multilayer media. 92c:05007 

Calvert, G. see Breckenridge, W.; et al., 92m:05008 

Cao, Ru Cheng Enumeration of identity rooted trees and identity trees with given numbers 
of leaves. (Chinese. English summary) 92a:05008 

Chernyak, A. A. see Tyshkevich, R. I., 92h:05009 

Chu, Wen Chang Some multifold reciprocal transformations with applications to series 
expansions. 924:05008 

— (with Xu, Li Zhi) Reciprocal vectorial functions and their combinatorial applications. 
(Chinese. English summary) 92e:05004 

Clarke, Robert John (with Sved, Marta) Derangement types. 92m:05009 

— see also Sved, Marta, 92i:05020 

Constantineau, Ivan (with Labelle, Jacques) On combinatorial structures kept fixed by the 
action of a given permutation. 92¢:05005 

Cummings, L. J. (with Mays, Michael E.) On the parity of the Witt formula. 92i:05016 

Currie, James D. (with Visentin, T. 1.) The number of order-preserving maps of fences and 
crowns. 92k:05005 

Désarménien, Jacques (with Foata, Dominique) Statistiques d’ordre sur les permutations 
colorées. (English summary) [Order statistics on colored permutations] 92h:05005 

Dress, Andreas W. M. (with Siebeneicher, Christian) Zur Abzahlung periodischer Worte. 
(English summary) [On the counting of periodic words] 92h:05006 

El-Desouky, B.S. A generalization of selecting adjacent balls without separations. 
92b:05003 

Flajolet, Philippe (with Soria, M.) The cycle construction. 92j:05005 

Foata, Dominique (with Zeilberger, Doron) Multibasic Eulerian polynomials. 92c:05008 

— see also Désarménien, Jacques, 92h:05005 

Fouché, W. L. Cyclic decompositions of multisets. 92k:05006 

Foundas, E. (with Sapounakis, A.) On strict contractions. 92c:05009 

(Fraenkel, Aviezri S.) see Granville, Andrew, 92k:05008 

Fujita, Shinsaku * Symmetry and combinatorial enumeration in chemistry. 92k:05007 

Gastineau-Hills, H. see Breckenridge, W.; et al., 92m:05008 

Gessel, Ira M. (with Zeilberger, Doron) Random walk in a Weyl chamber. 92h:05007 

Granville, Andrew On a paper of Z. Agur, A. S. Fraenkel and S. T. Klein: “The number 
of fixed points of the majority rule” [Discrete Math. 70 (1988), no. 3, 295-302; MR 


05A Classical combinatorial problems 


05A15 


90d:05012a]. 92k:05008 

Han, Shao Cen Notes on some limitations of the Pélya-de Bruijn enumeration theorem. 
(Chinese) 

Hou, Jin Matching numbers and matching distribution. (Chinese) 92a:05009 

Hwang, Frank K. (with Yao, Yi-Ching) A direct argument for Kaplansky’s theorem on a 
cyclic arrangement and its generalization. 92i:05017 

Kaparthi, Shashidhar (with Rao, H. Raghav) Higher-dimensional restricted lattice paths 
with diagonal steps. 92f:05011 

(Klein, Shmuel T.) see Granville, Andrew, 92k:05008 

Krattenthaler, Christian Generating functions for plane partitions of a given shape. 
92a:05010 

Kreweras, Germain About Catalan-like lattice paths. 

Labelle, Gilbert Le dénombrement de structures asymétriques. (English summary) [The 
enumeration of asymmetric structures] 92h:05008 

Labelle, Jacques see Constantineau, Ivan, 92e:05005 

Leclerc, Bruno Sur le nombre d’éléments des niveaux des produits de chaines et des treillis 
permutoédres. (English summary) [On the cardinalities of the levels of chain products 
and permutohedron lattices] 92c:05010 

Liu, Bo Lian Some combinatorial problems for directed trees. (Chinese) 92i:05018 

Lioyd, E. Keith Counting isomers and isomerizations. 92¢e:05006 

Mays, Michael E. see Cummings, L. J., 92i:05016 

Nelson, Adrian M. see Breckenridge, W.; et al., 92m:05008 

Parnami, J.C. The iteration of a bijective transformation of integer k-tuples mod m. 
924:05009 

Portier, Frederick J. (with Vaughan, Theresa P.) Whitney numbers of the second kind for 
the star poset. 92c:05011 

Radoux, Christian Déterminant de Hankel construit sur des polynémes liés aux nombres 
de dérangements. [A Hankel determinant constructed on polynomials associated with 
numbers of derangements] 92i:05019 

Rani, Sarita see Saran, Jagdish, 92m:05010 

Rao, H. Raghav see Kaparthi, Shashidhar, 92f:05011 

Riddle, Lawrence H. An occurrence of the ballot numbers in operator theory. 92f:05012 

Sapounakis, A. see Foundas, E., 92c:05009 

Saran, Jagdish (with Rani, Sarita) Distributions based on upcrossings, upward crossings, 
positive reflections and their runs in a generalized random walk. 92m:05010 

Shevelev, V.S. The generalized Riordan formula for three-line Latin rectangles and its 
applications. (Russian. English summary) 92c:05012 

— Cyclic polynomials of square matrices. (Russian. English summary) 92k:05009 

Siebeneicher, Christian see Dress, Andreas W. M., 92h:05006 

Soria, M. see Flajolet, Philippe, 92j:05005 

Sun, Chao Yi see Wang, Zhen Yu'; et al., 92c:05013 

Sved, Marta (with Clarke, Robert John) King’s walk on the infinite chessboard. 92i:05020 

— see also Clarke, Robert John, 92m:05009 

Tosié, Ratko (with Bosnjak, Ivica) Counting, generation and recognition of S-sequences. 
(Serbo-Croatian summary) 92a:05011 

— see also Acketa, Dragan M., 92c:05006 

Tyshkevich, R.1. (with Chernyak, A. A.) Another method on the enumeration of non- 
marked combinatorial objects. (Russian) 92h:05009 

Vaughan, Theresa P. see Portier, Frederick J., 92c:05011 

Viennot, Gérard Xavier Heaps of pieces. I. Basic definitions and combinatorial lemmas. 
92j:05006 

Visentin, T. I. see Currie, James D., 92k:05005 

Wang, Zhen Yu! (with Sun, Chao Yi) More on additive enumeration problems over trees. 
92¢:05013 

Wehrhahn, K. see Breckenridge, W.; et al., 92m:05008 

Wrigge, Staffan An analytic disproof of Robertson’s conjecture. 92a:05012 

Xu, Li Zhi see Chu, Wen Chang; et al., 92e:05004 

Yang, Kung-Wei q-determinants and permutations. 92e:05007 

Yao, Yi-Ching see Hwang, Frank K., 92i:05017 

You, Shi Hong An algebraic method for solving a class of combinatorial problems. 
(Chinese) 92g:05013 

Yucas, Joseph L. Counting special sets of binary Lyndon words. 92j:05007 

Zeilberger, Doron see Foata, Dominique, 92c:05008 and Gessel, Ira M., 92h:05007 

Zeng, Jiang The f-extension of the multivariable Lagrange inversion formula. 92c:05014 


Items with secondary classifications in 05A15 

Bergeron, Francois (with Yeh, Yeong Nan) The factoriality of the ring of S-species. 
92b:05080 

Carroll, Tim (with Hilton, Peter J.; Pedersen, Jean) Eulerian numbers, pseudo-Eulerian 
coefficients, and weighted sums in Pascal’s triangle. 92k:11019 

Cerlienco, Luigi (with Piras, Francesco) On the continuous dual of a polynomial bialgebra. 
92k:16051 

Chakerian, Don (with Logothetti, Dave) Cube slices, pictorial triangles, and probability. 
92h:52007 

Chen, Shi Hua see Tao, Ren Ji; et al., 92c:05039 

Chu, Wen Chang Dominance method for plane partitions. V. Enumeration of ladder 
tableaux. 92c:05161 

Culberson, Joseph C. (with Rawlins, Gregory J. E.) New results from an algorithm for 
counting posets. 92e:06008 

Flajolet, Philippe (with Salvy, Bruno; Zimmermann, Paul) Automatic average-case analysis 
of algorithms. 92k:68049 

Fransén, Arne Properties of Stirling polynomials and a disproof of Robertson’s conjecture. 
92d:11016 

Frappier, Clément Iterations of a kind of exponentials. 

Gao, Zhi-Cheng The number of rooted 2-connected triangular maps on the projective plane. 
92g:05101 

— The number of rooted triangular maps on a surface. 92h:05068 

Gessel, Ira M. A coloring problem. 92h:05053 

Getu, Seyoum see Shapiro, Louis W.; et al., 92j:05117 





05A15 


Haukkanen, Pentti (with Rutkowski, Jerzy) On generating functions for powers of 
recurrence sequences. 92h:11014 

Hilton, Peter J. see Carroll, Tim; et al., 92k:11019 

Holst, Lars On the “probléme des ménages” from a probabilistic viewpoint. 92¢:60022 

Honkala, Juha On generalized zeta functions of formal languages and series. 92i:68111 

Krattenthaler, Christian Counting lattice paths with a linear boundary. II. q-ballot and q- 
Catalan numbers. (German summary) 92c:05020 

— A two-variable Lagrange-type inversion formula with applications to expansion and 
convolution identities. 92e:05009 

Kula, Mieczysiaw Crystal growth and Witt rings. 92c:11043 

Lin, K’é Ying (with Tzeng, W. J.) Perimeter and area generating functions of the staircase 
and row-convex polygons on the rectangular lattice. 92g:82022 

— Exact solution of the convex polygon perimeter and area generating function. 92f:82023 

Logothetti, Dave see Chakerian, Don, 92h:52007 

Méndez, M. (with Yang, Jin Gen) Mobius species. 92j:05183 

Mohanty, Supriya On multi-sets. 92g:11026 

Nelsen, Roger B. (with Schmidt, Harvey, Jr.) Chains in power sets. 92c:05001 

Niederhausen, Heinrich Colorful partitions, permutations, and trigonometric functions. 
92j:05010 

Padmavathamma (with Sudha, T.G.) Parity of cg2(n). 92k:05010 

Pedersen, Jean see Carroll, Tim; et al., 92k:11019 

Piras, Francesco see Cerlienco, Luigi, 92k:16051 

Rawlins, Gregory J. E. see Culberson, Joseph C., 92e:06008 

Robbins, David P. The story of 1, 2, 7,42, 429, 7436, ---. 924:05010 

Robbins, Neville Some convolution-type and combinatorial identities pertaining to binary 
linear recurrences. 92¢:05010 

Rutkowski, Jerzy see Haukkanen, Pentti, 92h:11014 

Sagan, Bruce E. A maj statistic for set partitions. 92c:05017 

Salvy, Bruno see Flajolet, Philippe; et al., 92k:68049 

Schmidt, Harvey, Jr. see Nelsen, Roger B., 92c:05001 

Shapiro, Louis W. (with Getu, Seyoum; Woan, Wen Jin; Woodson, Leon C.) The Riordan 
group. 92j:05117 

Sudha, T.G. see Padmavathamma, 92k:05010 

Tao, Ren Ji (with Chen, Shi Hua) Enumeration of Latin arrays. I. Case n < 3. 92¢:05039 

Tzeng, W. J. see Lin, K’é Ying, 92g:82022 

Voblyi, V. A. Enumeration of labeled connected homeomorphically irreducible graphs. 
(Russian) 92j:05094 

Wachs, Michelle L. The major index polynomial for conjugacy classes of permutations. 
92k:05132 

— (with White, Dennis) p, g-Stirling numbers and set partition statistics. 92b:05004 

Wagner, David G. The partition polynomial of a finite set system. 92b:05005 

White, Dennis see Wachs, Michelle L., 92b:05004 

Woan, Wen Jin see Shapiro, Louis W.; et al., 92j:05117 

Woodson, Leon C. see Shapiro, Louis W.; et al., 92j:05117 

Yang, Jin Gen see Méndez, M., 92j:05183 

Yeh, Yeong Nan see Bergeron, Francois, 92b:05080 

Yu, Chang An A formula for the solution of a class of recurrence relations with variable 
coefficients having two indices. (Chinese. English summary) 92m:39015 

Zimmermann, Paul see Flajolet, Philippe; et al., 92k:68049 


05A16 Asymptotic enumeration 


Greenberg, A. G. see Kruskal, J. B., 92a:05013 

Kruskal, J. B. (with Greenberg, A. G.) A flexible way of counting large numbers approxi- 
mately in small registers. 92a:05013 

Liu, Yan Pei see Yan, Ji Yi; et al. 

Penrice, Stephen G. Derangements, permanents, and Christmas presents. 92g:05014 

Yan, Ji Yi (with Liu, Yan Pei) Asymptotic behavior of the number of rooted planar maps 
and rooted outerplanar maps. (Chinese) 


Items with secondary classifications in 05A16 


Alon, Noga Economical coverings of sets of lattice points. 92g:52017 

Brand, Neal (with Das, Sajal K.; Jacob, Roy Thomas, Jr.) The number of nonzero entries in 
recursively defined tables modulo primes. 92h:05004 

Das, Sajal K. see Brand, Neal; et al., 92h:05004 

Denisov, O. V. An asymptotic formula for the number of correlation-immune Boolean 
functions of order k.(Russian) 92g:94025 

Drmota, Michael (with Kirschenhofer, Peter) On generalized independent subsets of trees. 
92c:05046 

Flajolet, Philippe (with Salvy, Bruno; Zimmermann, Paul) Automatic average-case analysis 
of algorithms. 92k:68049 

Gao, Zhi-Cheng The asymptotic number of rooted 2-connected triangular maps on a 
surface. 92m:05093 

Goh, William M. Y. (with Schmutz, Eric) A central limit theorem on GL,(F,). 92£:11176 

Jacob, Roy Thomas, Jr. see Brand, Neal; et al., 92h:05004 

Kirschenhofer, Peter (with Prodinger, Helmut) On some applications of formulae of 
Ramanujan in the analysis of algorithms. 92h:68025 

— see also Drmota, Michael, 92c:05046 

Leclerc, Bruno Sur le nombre d’éléments des niveaux des produits de chaines et des treillis 
permutoédres. (English summary) [On the cardinalities of the levels of chain products 
and permutohedron lattices] 92c:05010 

Prodinger, Helmut see Kirschenhofer, Peter, 92h:68025 

Salvy, Bruno see Flajolet, Philippe; et al., 92k:68049 

Schmutz, Eric see Goh, William M. Y., 92f:11176 

Voblyi, V. A. Enumeration of labeled connected homeomorphically irreducible graphs. 
(Russian) 92j:05094 

Zimmermann, Paul see Flajolet, Philippe; et al., 92k:68049 


COMBINATORICS 


1992 


05A17 Partitions of integers [see also 11P81, 11P82, 11P83] 


Chu, Wen Chang A dominance approach for plane partitions. 92g:05015 

— Dominance method for plane partitions—column-strict ladder plane partitions. (Chinese 
summary) 92e:05008 

— Dominance method for plane partitions. I. The Schur function and plane partitions. 
92g:05016 

Grimaldi, Ralph P. (with Meadows, Douglas S.) Compositions of integers. 92j:05008 

Jeger, M. Uber Dreiecks-Partitionen. II. [On triangle partitions. II] 92a:05014 

Kolitsch, Louis Worthy A congruence for generalized Frobenius partitions with 3 colors 
modulo powers of 3. 92a:05015 

Liu, Bo Lian On enumeration of perfect partitions. (Chinese) 92a:05016 

Meadows, Douglas S. see Grimaldi, Ralph P., 92j:05008 

Padmavathamma (with Sudha, T.G.) Parity of cg2(n). 92k:05010 

Robbins, David P. The story of 1,2, 7,42, 429, 7436, ---. 92d:05010 

Sudha, T. G. see Padmavathamma, 92k:05010 

Xu, Li Zhi A partition identity with certain applications. 92i:05021 


Items with secondary classifications in 05A17 

Bessenrodt, Christine A combinatorial proof of a refinement of the Andrews-Olsson 
partition identity. 92f:11135 

Chetiya, B. P. (with Dutta, Malay Ananda; Kalita, A.) Use of group-theoretic methods in 
the study of partition functions. 92e:11110 

Chu, Wen Chang Dominance method for plane partitions. V. Enumeration of ladder 
tableaux. 92c:05161 

— see also Xu, Li Zhi, 92g:41038 

Désarménien, Jacques Une généralisation des formules de Gordon et de MacMahon. (En- 
glish summary) [A generalization of the Gordon and MacMahon formulas] 92d:05174 

Dutta, Malay Ananda see Chetiya, B. P.; et al., 92e:11110 

Erdés, Paul (with Nicolas, Jean-Louis; Sarkézy, A.) On the number of partitions of n 
without a given subsum. II. 92¢:11108 

Fouché, W. L. Cyclic decompositions of multisets. 92k:05006 

Goulden, Ian P. (with Jackson, David M.) Immanants, Schur functions, and the MacMa- 
hon master theorem. 92i:05221 

Hajnal, Andras (with Komjath, Péter) Corrigendum to: “Embedding graphs into col- 
ored graphs” [Trans. Amer. Math. Soc. 307 (1988), no. 1, 395-409; MR 89e:05145}. 
92m:05136 

Jackson, David M. see Goulden, Ian P., 92i:05221 

Kalita, A. see Chetiya, B. P.; et al., 92e:11110 

Komjath, Péter see Hajnal, Andras, 92m:05136 

Krattenthaler, Christian Generating functions for plane partitions of a given shape. 
92a:05010 

Longyear, Judith Q. Graphs and permutations. 92d:05007 

Nicolas, Jean-Louis see Erdés, Paul; et al., 92c:11108 

Remmel, Jeffrey B. A bijective proof of a factorization theorem for (k,/)-hook Schur 
functions. 92a:05131 

Sarkozy, A. see Erdés, Paul; et al., 92c:11108 

Stanton, Dennis (with White, Dennis) Combinatorics of the z42 theorem. 92a:05019 

Tutte, W. T. On the Birkhoff-Lewis equations. 92k:05052 

White, Dennis see Stanton, Dennis, 92a:05019 

Xu, Li Zhi (with Chu, Wen Chang) A kind of asymptotic expansion using partitions. 
92g:41038 


05A18 Partitions of sets 


Frankl, Peter (with Graham, Ronald L.; Rédl, Vojtéch) Quantitative Versionen von 
kombinatorischen Partitionssatzen. [Quantitative versions of combinatorial partition 
theorems] 92d:05011 

Fiiredi, Zoltan (with Gyarfas, Andras) Covering t-element sets by partitions. 92i:05022 

Ganter, Bernhard (with Gronau, Hans-Dietrich O. F.) Two conjectures of Demetrovics, 
Fiiredi, and Katona, concerning partitions. 92f:05013 

Graham, Ronald L. see Frankl, Peter; et al., 92d:05011 

Grieser, Daniel Counting complements in the partition lattice, and hypertrees. 92a:05017 

Gronau, Hans-Dietrich O. F. see Ganter, Bernhard, 92f:05013 

Gyarfas, Andras see Firedi, Zoltan, 92i:05022 

Hu, Zhu Xin On generalized partitions of an n-set. 92j:05009 

Ivanéo, J. An interpolation theorem for partitions which are indivisible with respect to 
cohereditary properties. 92c:05015 

Katsman, V. E. Theory of partition models. (Russian) 92g:05017 

Niederhausen, Heinrich Colorful partitions, permutations, and trigonometric functions. 
92j:05010 

Robertson, Jack M. (with Webb, William A.) Minimal number of cuts for fair division. 
92c:05016 

Rédl, Vojtéch see Frankl, Peter; et al., 92d:05011 

Sagan, Bruce E. A maj statistic for set partitions. 92c:05017 

Wachs, Michelle L. (with White, Dennis) p, q-Stirling numbers and set partition statistics. 
92b:05004 

Wagner, David G. The partition polynomial of a finite set system. 92b:05005 

Webb, William A. see Robertson, Jack M., 92c:05016 

Weiss, William A. R. Partitioning the quadruples of topological spaces. 92g:05018 

White, Dennis see Wachs, Michelle L., 92b:05004 


Items with secondary classifications in 05A18 

Abel, U. (with Misfeld, J.) Congruences in decompositions of the real and rational 
numbers. (Italian summary) 92f:04002 

Berglund, John F. (with Hindman, Neil) Sums of idempotents in BN. 92k:54027 

Bisztriczky, Tibor (with Fejes Toth, G.) Convexly independent sets. 92c:52005 

Blaszczyk, Aleksander (with Plewik, Szymon; Turek, Slawomir) Topological multidimen- 
sional van der Waerden theorem. 92a:54035 

Bowers, Philip L. The Borsuk dimension of a graph and Borsuk’s partition conjecture for 
finite sets. 92b:05028 





109 1992 


Casartelli, Mario Partitions, rational partitions, and characterization of complexity. 
92:68063 

Fejes Téth, G. see Bisztriczky, Tibor, 92¢:52005 

Hindman, Neil see Berglund, John F., 92k:54027 

Kahale, Nabil New modular properties of Bell numbers. 92i:11029 

Korner, Janos (with Simonyi, Gabor) A Sperner-type theorem and qualitative indepen- 
dence. 92m:05199 

Krasikov, I. On a tree-cutting problem of P. Ash. 92j:05052 

Lefmann, Hanno On partition regular systems of equations. 92i:05218 

Majcher, B. Orthogonal partitions. 92a:04006 

Misfeld, J. see Abel, U., 92f:04002 

Plewik, Szymon (with Voigt, Bernd) Partitions of reals: measurable approach. 92i:28001 

— see also Blaszezyk, Aleksander; et al., 92a:54035 

Schinheim, J. On partitions of the positive integers with no x, y, z belonging to distinct 
classes satisfying x + y = z. 92d:11018 

Simion, Rodica (with Ullman, Daniel) On the structure of the lattice of noncrossing 
partitions. 92j:06003 

Simonyi, Gabor see Korner, Janos, 92m:05199 

Turek, Slawomiz see Blaszczyk, Aleksander; et al., 92a:54035 

Ullman, Daniel see Simion, Rodica, 92j:06003 

Voigt, Bernd see Plewik, Szymon, 92i:28001 


05A19 Combinatorial identities 


Chu, Wen Chang (with Xu, Li Zhi) Some new applications of Gould-Hsu inversion. 
92c:05018 

— (with Xu, Li Zhi) A class of bivariate inverse relations with an application to interpola- 
tion process. 92g:05019 

— An algebraic identity and its proof. (Chinese) 92b:05006 

— Multivariate analogues of Gould-Hsu inversions with applications to convolution-type 
formulas. 92i:05023 

— Some new multiple series inversions and their applications. 92k:05011 

Damiani, E. (with D’Antona, O.; Naldi,G.) On the connection constants. 92i:05024 

D’Antona, O. see Damiani, E.; et al., 92i:05024 

Hsu, Fangjun (with Xu, Li Zhi) A unified treatment of a class of combinatorial sums. 
92g:05020 

Krattenthaler, Christian A two-variable Lagrange-type inversion formula with applications 
to expansion and convolution identities. 92¢:05009 

Naldi, G. see Damiani, E.; et al., 921:05024 

Nelson, Adrian M. A generalized cyclotomic identity. 92h:05010 

Robbins, Neville Some convolution-type and combinatorial identities pertaining to binary 
linear recurrences. 92¢:05010 

Silverman, Herb Summing infinite series with sex. 92e:05011 

Taylor, D. E. A natural proof of the cyclotomic identity. 92g:05021 

Xu, Li Zhi see Chu, Wen Chang, 92c:05018; 92g:05019 and Hsu, Fangjun, 92g:05020 


Items with secondary classifications in 05A19 


Chu, Wen Chang An algebraic identity and some partial convolutions. 92h:11016 

— (with Xu, Li Zhi) Reciprocal vectorial functions and their combinatorial applications. 
(Chinese. English summary) 92¢:05004 

Dress, Andreas W. M. (with Siebeneicher, Christian) A multinomial identity for Witt 
vectors. 92a:05135 

Ekhad, Shalosh B. A short proof of a “strange” combinatorial identity conjectured by 
Gosper. 92£:33010 

El-Desouky, B.S. A generalization of selecting adjacent balls without separations. 
92b:05003 

Fouché, W. L. Cyclic decompositions of multisets. 92k:05006 

Getu, Seyoum see Shapiro, Louis W.; et al., 92j:05117 

Greene, Daniel H. (with Knuth, Donald E.) * Mathematics for the analysis of algorithms. 
92¢:68067 

Habsieger, Laurent Intégrales de Selberg et applications. (English summary) [Selberg 
integrals and applications] 92i:33006 

Hilton, Peter J. (with Pedersen, Jean) The ballot problem and Catalan numbers. 92b:05002 

Klein, Shmuel T. Combinatorial representation of generalized Fibonacci numbers. 
92h:11015 

Klotz, W. On certain binomial sums. 92a:11019 

Knuth, Donald E. see Greene, Daniel H., 92c:68067 

Moen, Courtney Infinite series with binomial coefficients. 92c:11016 

Nagasaka, Kenji (with Shiue, Jau-Shyong) On a theorem of Koksma on discrepancy. 
92¢:11077 

Olver, Peter J. A nonlinear differential operator series that commutes with any function. 
92m:34048 

Pedersen, Jean see Hilton, Peter J., 92b:05002 

Shapiro, Louis W. (with Getu, Seyoum; Woan, Wen Jin; Woodson, Leon C.) The Riordan 
group. 92j:05117 

Shiue, Jau-Shyong see Nagasaka, Kenji, 92c:11077 

Siebeneicher, Christian see Dress, Andreas W. M., 92a:05135 

Stanton, Dennis (with White, Dennis) Combinatorics of the z4% theorem. 92a:05019 

Verde-Star, Luis Divided differences and combinatorial identities. 92i:65027 

White, Dennis see Stanton, Dennis, 92a:05019 

Woan, Wen Jin see Shapiro, Louis W.; et al., 92j:05117 

Woodson, Leon C. see Shapiro, Louis W.; et al., 92j:05117 

Xu, Li Zhi see Chu, Wen Chang; et al., 92e:05004 

Zeng, Jiang Un modéle symétrique pour l’identité de Al-Salam-Fields. (English summary) 
[A symmetric model for the identity of Al-Salam and Fields] 92j:33015 


05A20 Combinatorial inequalities 
Beck, Istvan (with Krogdahl, Stein) On log concave sequences. 92h:05011 


05A Classical combinatorial problems 


05A40 


Bollobas, Béla (with Radcliffe, A.J.) Isoperimetric inequalities for faces of the cube and the 
grid. 92c:05019 

— (with Leader, Imre) Isoperimetric inequalities and fractional set systems. 92j:05011 

Krogdahl, Stein see Beck, Istvan, 92h:05011 

Leader, Imre see Bollobas, Béla, 92j:05011 

Radcliffe, A. J. see Bollobas, Béla, 92c:05019 


Items with secondary classifications in 05A20 

Bollobas, Béla (with Leader, Imre) Compressions and isoperimetric inequalities. 
92h:05133 

Heyfron, Peter Some inequalities concerning immanants. 92e:15013 

Leader, Imre see Bollobas, Béla, 92h:05133 

Sagan, Bruce E. Log concave sequences of symmetric functions and analogs of the Jacobi- 
Trudi determinants. 92e:05121 

Spencer, Joel H. The probabilistic lens: Sperner, Turan and Bregman revisited. 92i:05127 

Sun, Ming Bao A class of inequalities for symmetric functions and their applications. 
(Chinese. English summary) 924:05178 

Wa, Qi Qi Maximal coefficient of the multinomial (x; + x2 + --- + x,;)". 92¢:05003 


05A30 q-calculus and related topics [see also 03Dxx] 


Krattenthaler, Christian Counting lattice paths with a linear boundary. II. g-ballot and g- 
Catalan numbers. (German summary) 92c:05020 

Mercier, Armel Quelques identités pour les g-analogues. [Some identities for g-analogues] 
92a:05018 

Stanton, Dennis (with White, Dennis) Combinatorics of the z42 theorem. 92a:05019 

White, Dennis see Stanton, Dennis, 92a:05019 

Yang, Kung-Wei Partitions, inversions, and g-algebras. 92k:05012 


Items with secondary classifications in 05A30 

Agarwal, Ashok Kumar! Combinatorial interpretations of the g-analogues of L,,1. 
92i:11016 

Andrews, George E. q-trinomial coefficients and Rogers-Ramanujan type identities. 
92e:11109 

Berndt, Bruce C. Some asymptotic formulas for q-series found in Ramanujan’s third 
notebook and “lost notebook”. 92a:11017 

Bhagirathi, Neera A. On certain continued fractions and q-series. 92f:33023 

— On certain investigations in g-series and continued fractions. 92f:33024 

Désarménien, Jacques Une généralisation des formules de Gordon et de MacMahon. (En- 
glish summary) [A generalization of the Gordon and MacMahon formulas] 924:05174 

Fivel, Daniel I. Quasi-coherent states and the spectral resolution of the q-Bose field 
operator. 92f:81055 

Foata, Dominique (with Zeilberger, Doron) Multibasic Eulerian polynomials. 92c:05008 

Garvan, Frank G. (with Gonnet, Gaston H.) Macdonald’s constant term conjectures for 
exceptional root systems. 92b:33054 

Gonnet, Gaston H. see Garvan, Frank G., 92b:33054 

Gupta, Ram Krishna see Saxena, Ram Kishore, 92h:33040 

Kolitsch, Louis Worthy A congruence for generalized Frobenius partitions with 3 colors 
modulo powers of 3. 92a:05015 

Nomura, Masao A Jordan-Schwinger representation of quadratic relations for SU,(2) 
operators and of the q-analog Wigner-Eckart theorem. 92a:17020a 

— Erratum: “A Jordan-Schwinger representation of quadratic relations for SU,(2) operators 
and of the g-analog Wigner-Eckart theorem”. 92a:17020b 

Romans, L. J. Deforming the Veneziano model (“g-strings”). (see 92i:81012) 

Sagan, Bruce E. Log concave sequences of symmetric functions and analogs of the Jacobi- 
Trudi determinants. 92e:05121 

Saxena, Ram Kishore (with Gupta, Ram Krishna) On certain qg-expansions associated with 
multivariable basic hypergeometric functions of Srivastava. 92h:33040 

Tsumura, Hirofumi A note on g-analogues of the Dirichlet series and g-Bernoulli numbers. 
92j:11020 

Van der Jeugt, Joris An algorithm for characters of Hecke algebras H,,(q) of type An-1- 
92i:05224 

Yang, Kung-Wei q-determinants and permutations. 92e:05007 

Zeilberger, Doron see Foata, Dominique, 92c:05008 

Zeng, Jiang Un modéle symétrique pour l’identité de Al-Salam-Fields. (English summary) 
[A symmetric model for the identity of Al-Salam and Fields] 92j:33015 

Zhang, Liang Cheng q-difference equations and Ramanujan-Selberg continued fractions. 
92j:11008 


05A40 Umbral calculus 


Gingold, Harry A note on reduction of operations via power product approximations. 
92m:05011 

Hirschhorn, Philip S. (with Raphael, Louise Arakelian) Coalgebraic foundations of the 
method of divided differences. 92m:05012 

Kreid, Tadeusz Combinatorial operators. 92d:05012 

— Combinatorial sequences of polynomials. 92h:05012 

Loeb, Daniel E. Sequences of symmetric functions of binomial type. 92e:05012 

— The iterated logarithmic algebra. 92g:05022 

— The iterated logarithmic algebra. II. Sheffer sequences. 924:05013 

Niederhausen, Heinrich Factorials and Stirling numbers in the algebra of formal Laurent 
series. 92j:05012 

— Initial value problems in the logarithmic algebra. 92m:05013 

— Polynomials of binomial type from truncated delta series. 92e:05013 

Raphael, Louise Arakelian see Hirschhorn, Philip S., 92m:05012 


Items with secondary classifications in 05A40 


Chu, Wen Chang Multivariate analogues of Gould-Hsu inversions with applications to 
convolution-type formulas. 92i:05023 
Damiani, E. (with D’Antona, O.; Naldi, G.) On the connection constants. 92i:05024 





05A40 


D’Antona, O. see Damiani, E.; et al., 92i:05024 

Kholodov, A. N. The umbral calculus and orthogonal polynomials. 92b:33022 

Naldi, G. see Damiani, E.; et al., 92i:05024 

Riddie, Lawrence H. An occurrence of the ballot numbers in operator theory. 92f:05012 
Ueno, Kazuo Hypergeometric series formulas through operator calculus. 92b:33004 


05A99 None of the above, but in this section 


Berlekamp, Elwyn Introductory overview of mathematical Go endgames. (see 92d:90138) 

Bolker, Ethan D. see Boman, Jan; et al., 92m:05014 

Boman, Jan (with Bolker, Ethan D.; O’Neil, Patrick) The combinatorial Radon transform 

dulo the sy Tic group. 92m:05014 

Bouchard, Pierre (with Ouellette, Mario) Décomposition arborescente de Mario Ouellette 
pour les espéces de structures. (English summary) [Mario Ouellette’s arborescent 
decomposition for species of structures] 92g:05023 

Conway, John Horton Numbers and games. (see 924:90138) 

— More ways of combining games. (see 924:90138) 

Guy, Richard K. What is a game? (see 92d:90138) 

— Impartial games. (see 92d:90138) 

— Unsolved problems in combinatorial games. (see 92d:90138) 

Negro, Alberto (with Sereno, Matteo) Solution of Ulam’s problem on binary search with 
three lies. 92h:05013 

Nowakowski, Richard J. ..., Welter’s Game, Sylver Coinage, Dots-and-Boxes, .... (see 
924:90138) 

O'Neil, Patrick see Boman, Jan; et al., 92m:05014 

Ouellette, Mario see Bouchard, Pierre, 92g:05023 

Penavi¢, Kresimir Campanology groups. (Serbo-Croatian) 

Sereno, Matteo see Negro, Alberto, 92h:05013 

Wallis, W. D. Not all perfect extrinsic secret sharing schemes are ideal. 92m:05015 

Zhu, Shi Xin An algorithm for generating k-ary de Bruijn sequences. (Chinese. English 
summary) 92k:05013 





Items with secondary classifications in 05A99 

Ali, M. K. see Koldt, Miroslav, 92b:58063 

Alon, Noga (with Caro, Yair; Krasikov, I.; Roditty, Y.) Combinatorial reconstruction 
problems. 92a:05092 

Alpern, Steve (with Beck, Anatole) Hex games and twist maps on the annulus. 92i:90135 

Beck, Anatole see Alpern, Steve, 92i:90135 

Caro, Yair see Alon, Noga; et al., 92a:05092 

Casadio Tarabusi, Enrico Inversion of the X-ray transform: continuous vs. discrete. 
92f:44004 

Dougherty, Randall L. Functors on the category of finite sets. 92f:18001 

Fraenkel, Aviezri S. Complexity of games. (see 92d:90138) 

— Selected bibliography on combinatorial games and some related material. (see 92d:90138) 

Harper, L. H. A continuous analog of Ford-Fulkerson flows in networks and its application 
to a problem of Rota. 92b:90081 

Koganov, L.M. Remarks on work on Mobius functions and on Frobenius constants of a 
certain class of semigroups. (Russian) 92a:20067 

Kola, Miroslav (with Ali, M.K.) Trace maps associated with general two-letter substitution 
tules. 92b:58063 

Krasikov, I. see Alon, Noga; et al., 92a:05092 

Miller, Mirka (with Roberts, I. T.; Simpson, R. Jamie) Application of symmetric chains to 
an optimization problem in the security of statistical databases. 92e:68037 

Pless, Vera S. Games and codes. (see 924:90138) 

Pressman, Ian (with Singmaster, David) The jealous husbands and the missionaries and 
cannibals. 92b:01086 

Roberts, I. T. see Miller, Mirka; et al., 92e:68037 

Roditty, Y. see Alon, Noga; et al., 92a:05092 

Simpson, R. Jamie see Miller, Mirka; et al., 92e:68037 

Singmaster, David see Pressman, Ian, 92b:01086 

Texter, John Alternate solution to a discrete car parking problem. 92c:82118 

Wilf, Herbert S. Two algorithms for the sieve method. 92¢:68063 


OSBxx Designs and configurations {For applications of 
design theory, see 94C30.} 


Items with secondary classifications in 05Bxx 

Boltyanskii, V.G. (with Soifer, Alexander) * Geometric études in combinatorial mathe- 
matics. 92f:52031 

(Erdés, Paul) see Boltyanskii, V. G., 92f:52031 

(Griinbaum, Branko) see Boltyanskii, V.G., 92f:52031 

Kappraff, Jay * Connections. 92a:00030 

(Rousseau, C.C.) see Boltyanskii, V. G., 92f:52031 

Soifer, Alexander see Boltyanskii, V. G., 92f:52031 


0S5B05 Block designs [see also 51E05, 62K10] 


Adamov, S.N. (with Fomin, A. N.) A class of primary block designs. (Russian) 92c:05021 

Ajoodani-Namini, S. see Khosrovshahi, G. B., 92m:05023 

Arasu, K.T. (with Haemers, Willem H.; Jungnickel, Dieter; Pott, Alexander) Matrix 
constructions of divisible designs. 92g:05024 

Assaf, Ahmed M. Two more covering designs with block size 5 and index 4. 92f:05014 

Bagchi, Bhaskar Corrigendum: “No extendable bipiane of order nine” [J. Combin. Theory 
Ser. A 49 (1988), no. 1, 1-12; MR 89i:05043]. 92a:05020 

Balasubramanian, Krishnaswami see Dey, A., 92h:05015 

Banerjee, Shakti (with Kageyama, Sanpei) Existence of a-resolvable nested incomplete 
block designs. 92f:05015 

Bennett, F.E. Pairwise balanced designs with block sizes 4 and 8. 92g:05025 


COMBINATORICS 


1992 


— (with Chen, Mao Rong) Incomplete perfect Mendelsohn designs. 924:05014 

Bhagwandas (with Kageyama, Sanpei; Mukerjee, Rahul) Symmetry and classification of 
certain regular group divisible designs. 92k:05014 

— (with Singh Meitei, K. K.) Some constructions of partially balanced ternary design. 
92e:05014 

— (with Sinha, Kishore; Kageyama, Sanpei) Constructions of PBIB designs based on aested 
group divisible association scheme. 92m:05016 

Bogomirov, Bogomir Iv. see Kapralov, Stoyan N.; et al., (92a:00041) 

Brown, John Wesley 57 6-sets on 46 points with no pair of points repeated. 92i:05025 

Cai, Tian Wen Constructing balanced incomplete block designs by using orthogonal 
geometries. (Chinese. English summary) 924:05015 

Chaure, N. K. see Misra, B. L., 92g:05033 

Chee, Yeow Meng (with Colbourn, Charles J.; Furino, Steven C.; Kreher, Donald L.) Large 
sets of disjoint t-designs. 92j:05013 

Chen, De Meng (with Stinson, Douglas R.) Recent results on combinatorial constructions 
for threshold schemes. 92g:05026 

Chen, Mao Rong see Bennett, F. E., 924:05014 

Cigié, V. (with Golemac, Anka) On a class of symmetric 2-(40, 13, 4) designs. (Serbo- 
Croatian summary) 92g:05027 

Cohn, J. H. E. A D-optimal design of order 102. 

Colbourn, Charles J. (with Rosa, Alexander; Stinson, Douglas R.) Pairwise balanced 
designs with block sizes three and four. 92g:05028 

— see also Chee, Yeow Meng; et al., 92j:05013 

Dehon, Michel An existence theorem for some simple f-designs. 92h:05014 

De Resmini, Marialuisa J. Some naive constructions of S(2,3,v) and S(2,4,v). 92m:05017 

Dey, A. (with Balasubramanian, Krishnaswami) Construction of some families of group 
divisible designs. 92h:05015 

Du, Bei Liang (with Zhu, Lie!) Existence of (v, 8, 1)-BIBD. 92g:05029 

— On incomplete transversal designs with block size five. 92m:05018 

— see also Zhu, Lie'; et al., 92k:05020 

Fanning, J.D. Symmetric designs with A = 2 admitting PSL(2, qg) fixing a block. 92c:05022 

Fomin, A. N. see Adamov, S. N., 92c:05021 

Francel, Margaret Ann (with Sarvate, Dinesh G.) Two constructions for u-resolvable 
ternary designs. 92j:05014 

Franek, F. (with Mathon, Rudolf A.; Rosa, Alexander) On a class of linear spaces with 16 
points. 92d4:05016 

Fuji-Hara, R. see Yuan, F.; et al., 92m:05029 

Furino, Steven C. see Chee, Yeow Meng; et al., 92j:05013 

Golemac, Anka Problem of the existence of symmetric design (70, 24, 8) with the group of 
collineations As. (Serbo-Croatian summary) 92i:05026 

— see also Cigié, V., 92g:05027 

Granville, Andrew (with Hartman, Alan) Subdesigns in Steiner quadruple systems. 
92b:05007 

Gray, Ken Further results on smallest defining sets of well-known designs. 92g:05030 

G"rdev, Ivailo Il. see Kapralov, Stoyan N.; et al., (92a:00041) 

Greig, Malcolm Some balanced incomplete block design constructions. 92i:05027 

Gronau, Hans-Dietrich O. F. (with Mullin, Ronald C.) On super-simple 2-(v, 4, A) designs. 
92m:05019 

Guo, Hai Tao Existence of simple block designs B[4, 2; v] and B[4, 3; v]. (Chinese. English 
summary) 92a:05021 

Gupta, Bhisham Chand A lower bound for number of treatments in a main effect plus one 
plan for 27 factorials. 92j:05015 

Gupta, Sudhir C. (with Singh, Murari) Partially balanced incomplete block designs with 
nested rows and columns. 92h:05016 

— see also Mukerjee, Rahul, 92g:05034 

Haemers, Willem H. (with Higman, D. G.; Hobart, S. A.) Strongly regular graphs induced 
by polarities of symmetric designs. 92i:05028 

— see also Arasu, K. T.; et al., 92g:05024 

Hamm, R.C. see Sarvate, Dinesh G., 92k:05019 

Hartman, Alan see Granville, Andrew, 92b:05007 

Higman, D.G. see Haemers, Willem H.; et al., 92i:05028 

Hobart, S. A. see Haemers, Willem H.; et al., 92i:05028 

Hoffman, D. G. (with Lindner, C. C.; Phelps, K. T.) Blocking sets in designs with block size 
4. 92f:05016 

Jackson, Wen-Ai (with Piper, Fred; Wild, Peter) Nonembedding of non-prime-power 
unitals with point-regular group. 92m:05020 

Jimbo, Masakazu see Yuan, F.; et al., 92m:05029 

Jungnickel, Dieter On A-ovals and difference sets. 92g:05031 

— (with Tonchev, Vladimir D.) Intersection numbers of quasi-multiples of symmetric 
designs. 92m:05021 

— (with Tonchev, Vladimir D.) Exponential number of quasi-symmetric SDP designs and 
codes meeting the Grey-Rankin bound. 92k:05015 

— (with Mullin, Ronald C.; Vanstone, Scott A.) The spectrum of a-resolvable block designs 
with block size 3. 92k:05016 

— see also Arasu, K. T.; et al., 92g:05024 

Kageyama, Sanpei A property of 7-wise balanced designs. 92f:05017 

— (with Sinha, Kishore) Constructions of partially balanced bipartite block designs. 
92j:05016 

— (with Matsumoto, Tetsuya) Some characterizations of semi-regular and regular designs. 
92j:05017 

— see also Banerjee, Shakti, 92f:05015; Bhagwandas; et al., 92k:05014 and 92m:05016 

Kapralov, Stoyan N. (with G’rdev, Ivailo Il.; Bogomirov, Bogomir Iv.) On a problem of 
design embeddability. (Bulgarian. English summary) (see 92a:00041) 

Khanban, A. A. (with Mahmoodian, E. S.) Ordered block designs. 92m:05022 

Khosrovshahi, G. B. (with Vatan, F.) On 3-(8, 4,4) designs. 92i:05029 

— (with Ajoodani-Namini, S.) Combining t-designs. 92m:05023 

Klemm, Michael Uber die Schnittzahlen mehrfach balancierter Blockplane. (English 
summary) [On the intersection numbers of multiply balanced block designs] 92m:05024 

— Necessary conditions for the existence of divisible designs. 92f:05018 

Koyama, Toshiko On applications of the Bruck-Ryser-Chowla theorem. 92j:05018 





ill 1992 


Kramer, Earl S. (with Magliveras, Spyros S.; Stinson, Douglas R.) Some small large sets of 
t-designs. 92f:05019 

Kreher, Donald L. see Chee, Yeow Meng; et al., 92j:05013 

Lamken, E.R. (with Mills, W. H.; Wilson, R. M.) Four pairwise balanced designs. 
924:05017 

Landgev, Ivan N. Block designs (22, 8, 4) with automorphisms of order 2 and self-orthogonal 
codes over GF(3). (Bulgarian. English summary) 92b:05008 

Lindner, C.C. How to construct a block design with block size four admitting a blocking set. 
92g:05032 

— (with Phelps, K. T.; Rodger, C. A.) The spectrum for 2-perfect 6-cycle systems. 
92m:05025 

— see also Hoffman, D. G.; et al., 92f:05016 

Magliveras, Spyros S. see Kramer, Earl S.; et al., 92f:05019 

Mahmoodian, E.S. see Khanban, A. A., 92m:05022 

Mao, Jing Zhong Incomplete block designs and constructions of geodetic blocks. (Chinese) 

Marino, Maria Corinna Steiner quadruple systems with particular intersections. (Italian. 
English summary) 92i:05030 

Mathon, Rudolf A. see Franek, F.; et al., 92d:05016 

Matsumoto, Tetsuya see Kageyama, Sanpei, 92j:05017 

Mendelsohn, N.S. (with Padmanabhan, R.; Wolk, Barry) Block configurations on real 
cubic curves. 92j:05019 

Miao, Ying (with Zhu, Lie') Pairwise balanced designs with block sizes 5t + 1. 92i:05031 

Micale, Biagio (with Pennisi, Mario) On the number of nonisomorphic ordered quadruple 
systems. 92i:05032 

Mills, W. H. see Lamken, E. R.; et al., 92d:05017 

Misra, B. L. On construction of partially balanced arrays. 92e:05015 

— (with Chaure, N. K.) Balanced n-ary and PBIB designs. 92g:05033 

Moore, Paul (with Rees, Rolf) On the number of connecting lines determined by n points 
in the real plane. 92i:05033 

Mukerjee, Rahul (with Gupta, Sudhir C.) Geometric construction of balanced block 
designs with nested rows and columns. 92g:05034 

— see also Bhagwandas; et al., 92k:05014 

Mullin, Ronald C. see Jungnickel, Dieter; et al., 92k:05016 and Gronau, Hans-Dietrich O. F., 
92m:05019 

Nazarok, A. V. On the existence of a pairwise-balanced design of order III index I with block 
dimensions 10, 3 and 2. (Russian) 92g:05035 

Noda, Ryuzaburo An inequality for Steiner systems. 92i:05034 

Padmanabhan, R. see Mendelsohn, N. S.; et al., 92j:05019 

Palmer, William D. Generalized Bhaskar Rao designs with two association classes. 
92g:05036 

Pawale, Rajendra M. (with Sane, Sharad S.) A short proof of a conjecture on quasi- 
symmetric 3-designs. 92m:05026 

— Quasi-symmetric 3-designs with triangle-free graph. 924:05018 

Pennisi, Mario see Micale, Biagio, 92i:05032 

Pfaff, Oliver The classification of doubly transitive affine designs. 92j:05020 

Phelps, K. T. Halving block designs with block size four. 92i:05035 

— Aclass of 2-chromatic SQS(22). 92k:05017 

— see also Hoffman, D. G.; et al., 92f:05016 and Lindner, C. C.; et al., 92m:05025 

Piper, Fred see Jackson, Wen-Ai; et al., 92m:05020 

Pless, Vera S. Codes and designs—existence and uniqueness. 92m:05027 

Pott, Alexander (with Shrikhande, M.S.) t-designs with few intersection numbers. 
92g:05037 

— see also Arasu, K. T.; et al., 92g:05024 

Rahilly, Alan On a class of symmetric designs. 92k:05018 

— On the line structure of designs. 92i:05036 

Rasch, Dieter Constructing BIBDs by an expert system. 92a:05022 

Rees, Rolf see Moore, Paul, 92i:05033 

Rodger, C. A. see Lindner, C. C.; et al., 92m:05025 

Romano, Rosaria Blocking sets in S(4, 5, v) and S(5,6,v) Steiner systems. 92a:05023 

Rosa, Alexander see Franek, F.; et al., 92d:05016 and Colbourn, Charles J.; et al., 92g:05028 

Sane, Sharad S. On affine and projective failed designs. 92c:05023 

— see also Pawale, Rajendra M., 92m:05026 

Sarvate, Dinesh G. (with Hamm, R.C.) Row-column directed block designs. 92k:05019 

— see also Francel, Margaret Ann, 92j:05014 

Seberry, Jennifer On small defining sets for some SBIBD (4¢ — 1, 2¢ — 1,¢ — 1). 92i:05037 

Sharry, Martin J. (with Street, Anne Penfold) Partitioning sets of blocks into designs. 
92¢:05024 

— (with Street, Anne Penfold) One-factorizations and large sets of designs. 92c:05025 

Shen, Hao (with Wu, Min Zhen) Existence of simple resolvable block designs with block 
size 4. 92g:05038 

— Constructions and uses of labeled resolvable designs. 92g:05039 

Shrikhande, M.S. see Pott, Alexander, 92g:05037 

Siemon, Helmut Cyclic Steiner quadruple systems and Kohler’s orbit graphs. 92f:05020 

Siftar, Juraj On 2-groups operating on a 2-(22, 8, 4) design. (Serbo-Croatian summary) 
92h:05017 

Simmons, Gustavus J. Weakly resolvable designs and unconditionally secure authentication 
codes. 92i:05038 

Singh, M. K. see Sinha, Kishore, 92j:05021 

Singh, Murari see Gupta, Sudhir C., 92h:05016 

Singh Meitei, K. K. see Bhagwandas, 92¢:05014 

Sinha, Kishore (with Singh, M. K.) A series of BIB designs. 92j:05021 

— Corrigendum: “Generalized partially balanced incomplete block designs” [Discrete Math. 
67 (1987), no. 3, 315-318; MR 88i:05032]. 924:05019 

— Aconstruction of rectangular designs. 92b:05009 

— see also Kageyama, Sanpei, 92j:05016 and Bhagwandas; et al., 92m:05016 

Spence, Edward (40, 13, 4)-designs derived from strongly regular graphs. 92i:05039 

Stinson, Douglas R. Designs constructed from maximal arcs. 92m:05028 

— see also Kramer, Earl S.; et al., 92f:05019; Chen, De Meng, 92g:05026 and Colbourn, 
Charles J.; et al., 92g:05028 

Street, Anne Penfold see Sharry, Martin J., 92c:05024 and 92c:05025 


O05B Designs and configurations 


Tonchev, Viadimir D. see Jungnickel, Dieter, 92k:05015 and 92m:05021 

Tran Van Trung Nonembeddable quasi-residual designs. 92b:05010 

— Maximal arcs and related designs. 92j:05022 

Vanstone, Scott A. see Jungnickel, Dieter; et al., 92k:05016 

Vatan, F. see Khosrovshahi, G. B., 92i:05029 

Wei, Rui Xia The embeddings of $3(2,4,v). 92f:05021 

Wild, Peter see Jackson, Wen-Ai; et al., 92m:05020 

Wilson, R. M. see Lamken, E. R.; et al., 924:05017 

Wolk, Barry see Mendelsohn, N. S.; et al., 92j:05019 

Wu, Min Zhen see Shen, Hao, 92g:05038 

Wa, Shu Zhong see Zhu, Lie!, 92j:05023 

Yuan, F. (with Jimbo, Masakazu; Fuji-Hara, R.) An extension method for balanced arrays. 
92m:05029 

Zeitler, Herbert About near-resolvable systems S(2, 4, v). 92h:05018 

— About special classes of Steiner systems S(2,4,v). 92i:05040 

Zhang, Xue Bin see Zhu, Lie’; et al., 92k:05020 

Zhu, Lie! (with Wu, Shu Zhong) Existence of BIBDs with block size seven. 92):05023 

— (with Du, Bei Liang; Zhang, Xue Bin) A few more RBIBDs with k = 5 and A= 1. 
92k:05020 

— see also Du, Bei Liang, 92g:05029 and Miao, Ying, 92i:05031 


Items with secondary classifications in 05B05 

Arasu, K.T. (with Jungnickel, Dieter; Pott, Alexander) The Mann test for divisible 
difference sets. 92k:05024 

Assmus, E. F., Jr. (with Key, Jennifer D.) Baer subplanes, ovals and unitals. 92e:51016 

— (with Key, Jennifer D.) Affine and projective planes. 92e:51017a 

— (with Key, Jennifer D.) Translation planes and derivation sets. 92e:51018a 

— (with Key, Jennifer D.) Corrigendum: “Affine and projective planes”. 92e:51017b 

— (with Key, Jennifer D.) Correction: “Translation planes and derivation sets”. 92e:51018b 

— (with Prince, Alan R.) Biplanes and near biplanes. 92k:51008 

— (with Key, Jennifer D.) Hadamard matrices and their designs: a coding-theoretic 
approach. 92f:05024 

Bari, Ruth A. (with Crawford, Carol G.) Almost proper line colorings and near chromatic 
polynomials. 92¢:05045 

Brualdi, Richard A. The many facets of combinatorial matrix theory. (see 92a:15001) 

de Caen, D. (with Kreher, Donald L.; Radziszowski, Stanislaw P.; Mills, W. H.) On the 
covering of t-sets with (t + 1)-sets: C(9, 5,4) and C(10, 6,5). 92j:05046 

Calderbank, A. R. (with Delsarte, Philippe; Sloane, Neil J. A.) A strengthening of the 
Assmus-Mattson theorem. 92k:94021 

Chang, Cheng-Tao (with Cheng, Joanna) Three-factor symmetrical balanced designs with 
full efficiency for main effects. 92k:62138 

Cheng, Joanna see Chang, Cheng-Tao, 92k:62138 

Colbourn, Charles J. (with Mathon, Rudolf A.; Rosa, Alexander; Shalaby, Nabil) The fine 
structure of threefold triple systems: v = 1 or 3 (mod 6). 92k:05021 

Constantine, Gregory M. (with Whitehead, Earl Glen, Jr.) Extremal characterizations of 
design graphs. 92m:05155 

Crawford, Carol G. see Bari, Ruth A., 92e:05045 

Das, Ashish D. (with Kageyama, Sanpei) A class of E-optimal proper efficiency-balanced 
designs. 92h:62115 

Delsarte, Philippe see Calderbank, A. R.; et al., 92k:94021 

Dowd, Martin An integer program for codes. 92h:94025a 

— Erratum: “An integer program for codes”. 92h:94025b 

Etzion, Tuvi (with Hartman, Alan) Towards a large set of Steiner quadruple systems. 
92¢:51008 

Francel, Margaret Ann (with Sarvate, Dinesh G.) A construction of balanced ternary 
designs based on SBIBDs. 92f:05028 

Ghosh, Dilip Kumar (with Joshi, Kamlesh) Note on construction of variance balanced 
designs through group divisible designs. 92h:62116 

Gupta, Sudhir C. (with Kageyama, Sanpei) Type S designs with nested rows and columns. 
92h:62117 

Hartman, Alan see Etzion, Tuvi, 92c:51008 

Hemmeter, Joe (with Woldar, Andrew J.) Fusion schemes and partially balanced incom- 
plete block designs. 92d:05183 

Jackson, Wen-Ai A characterisation of P,,, among the symmetric designs using elations. 
92i:51007a 

— Elations and symmetric designs having projective subspaces. 92i:51007b 

Joshi, Kamlesh see Ghosh, Dilip Kumar, 92h:62116 

Jungnickel, Dieter see Arasu, K. T.; et al., 92k:05024 

Kageyama, Sanpei see Das, Ashish D., 92h:62115 and Gupta, Sudhir C., 92h:62117 

Key, Jennifer D. see Assmus, E. F., Jr., 92e:51016; 92e:51017a; 92e:51017b; 92e:51018a; 
92e:51018b and 92:05024 

Kreher, Donald L. see de Caen, D.; et al., 92j:05046 

Lenz, Hanfried Half a century of design theory. 92m:05003 

Mahmoodian, E.S. The intersection graph of B[3, 2; 6] design is the Petersen graph. 

Mathon, Rudolf A. see Colbourn, Charles J.; et al., 92k:05021 

Maurin, Francis Une méthode de construction de plans en blocs de chainettes. (English 
summary) [A method for constructing handcuffed designs] 92h:05027 

Mills, W. H. see de Caen, D.; et al., 92j:05046 

Morgan, John P. see Uddin, Nizam, 92f:62108 

Neidhardt, Wolfgang Blocking sets in S(2,4,v). 92i:51009 

Pott, Alexander see Arasu, K. T.; et al., 92k:05024 

Prince, Alan R. see Assmus, E. F., Jr., 92k:51008 

Radziszowski, Stanistaw P. see de Caen, D.; et al., 92j:05046 

Damaraju * Constructions and combinatorial problems in design of experi- 

ments. 92b:62102 

Rosa, Alexander see Colbourn, Charles J.; et al., 92k:05021 

Sarvate, Dinesh G. see Francel, Margaret Ann, 92f:05028 

Sastry, D. V.S. Ona method of construction of group divisible designs. 92h:62120 

Shalaby, Nabil see Colbourn, Charles J.; et al., 92k:05021 

Sinha, Kishore Construction of variance-balanced designs. 92b:62109 





05B05 


Sloane, Neil J. A. see Calderbank, A. R.; et al., 92k:94021 

Steinacker, Angelika On the geometry of simplest designs. 92¢:51006 

Stufken, John On group divisible treatment designs for comparing test treatments with a 
standard treatment in blocks of size 3. 92g:62096 

Suzuki, Hiroshi On the inequalities of t-designs over a finite field. 92e:05025 

Tjur, Tue Block designs and electrical networks. 92i:62147 

Tonchev, Vladimir D. Unitals in the Hélz design on 28 points. 92c:51007 

Uddin, Nizam (with Morgan, John P.) Two constructions for balanced incomplete block 
designs with nested rows and columns. 92f:62108 

Wang, Jin Hua (with Zhu, Lie!) Doubly nested triple systems and nested B[4, 3A; v]. 
92d:05021 

Wei, Wan Di A generalization of group difference sets and binary (v, k, A)-systems on r and 
s. 1. 92k:05026 

— (with Yang, Ben Fu) Finite unitary geometries and PBIBDs. II. 92m:51021 

Whitehead, Earl Glen, Jr. see Constantine, Gregory M., 92m:05155 

Wild, Peter Menon difference sets and relative difference sets. 92j:05027 

Woldar, Andrew J. see Hemmeter, Joe, 92d:05183 

Yang, Ben Fu see Wei, Wan Di; et al., 92m:51021 

Zhu, Lie' see Wang, Jin Hua, 92d:05021 


05B07 Triple systems 


Calahan, Rebecca S. (with Gardner, Robert B.) 3-transrotational Steiner triple systems. 
92j:05024 

Chang, Yan Xun see Kang, Qing De, 92a:05024 

Chee, Yeow Meng (with Lim, Andrew) Quadrilateral-free Steiner triple systems of orders 
31 and 37. 92c:05026 

— (with Royle, Gordon F.) The 2-rotational Steiner triple systems of order 25. 92i:05041 

Colbourn, Charles J. (with Mathon, Rudolf A.; Shalaby, Nabil) The fine structure of 
threefold triple systems: v = 5 (mod 6). 92i:05042 

— (with Rosa, Alexander) Leaves, excesses and neighbourhoods in triple systems. 92i:05043 

— Automorphisms of directed triple systems. 92d:05020 

— (with Phelps, K. T.; De Resmini, Marialuisa J.; Rosa, Alexander) Partitioning Steiner 
triple systems into complete arcs. 92f:05022 

— (with Mathon, Rudolf A.; Rosa, Alexander; Shalaby, Nabil) The fine structure of 
threefold triple systems: v = 1 or 3 (mod 6). 92k:05021 

— (with Dinitz, Jeffrey H.; Stinson, Douglas R.) Spanning sets and scattering sets in Steiner 
triple systems. 92b:05011 

— (with Magliveras, Spyros S.; Mathon, Rudolf A.) Transitive Steiner and Kirkman triple 
systems of order 27. 92¢:05016 

— (with Magliveras, Spyros S.; Stinson, Douglas R.) Steiner triple systems of order 19 with 
nontrivial automorphism group. 92k:05022 

De Resmini, Marialuisa J. see Colbourn, Charles J.; et al., 92f:05022 

Dinitz, Jeffrey H. see Colbourn, Charles J.; et al., 92b:05011 

Donovan, Diane The centre of a sloop. 92h:05019 

Gardner, Robert B. see Calahan, Rebecca S., 92j:05024 

Griggs, T.S. (with Murphy, J. P.; Phelan, J.S.) Anti-Pasch Steiner triple systems. 
92g: 

Hilton, Anthony J. W. (with Rodger, C. A.) Edge-colouring graphs and embedding partial 
triple systems of even index. 92c:05027 

Jungnickel, Dieter (with Vanstone, Scott A.) Triple systems in PG(2,q). 92k:05023 

Kang, Qing De (with Chang, Yan Xun) Symmetric Mendelsohn triple systems and large sets 
of disjoint Mendelsohn triple systems. 92a:05024 

— The construction of large sets of disjoint Mendelsohn triple systems of order 2” + 2. 
92j:05025 

Lim, Andrew see Chee, Yeow Meng, 92c:05026 

Lindner, C.C. (with Street, Anne Penfold) The Stern-Lenz theorem: background and 
applications. 92m:05030 

Lizzio, Angelo On the parameter D(v,t, — 15) for STS(v). 92g:05041 

Magliveras, Spyros S. see Colbourn, Charles J.; et al., 92e:05016 and 92k:05022 

Mathon, Rudolf A. see Colbourn, Charles J.; et al., 92e:05016; 92i:05042 and 92k:05021 

Micale, Biagio (with Pennisi, Mario) On the extended Mendelsohn triple systems with a 
given automorphism. 92m:05031 

Milici, Salvatore (with Quattrocchi, Gaetano) Ovals and hyperovals in maximum partial 
triple systems. 92i:05044 

Murphy, J.P. see Griggs, T. S.; et al., 92g:05040 

Pennisi, Mario (with Romano, Rosaria) Parallel classes in S,(2,3,v). 92i:05045 

— see also Micale, Biagio, 92m:05031 

Phelan, J.S. see Griggs, T. S.; et al., 92g:05040 

Phelps, K.T. see Colbourn, Charles J.; et al., 92f:05022 

Quattrocchi, Gaetano see Milici, Salvatore, 92i:05044 

Rodger, C. A. see Hilton, Anthony J. W., 92c:05027 

Romano, Rosaria see Pennisi, Mario, 92i:05045 

Rosa, Alexander see Colbourn, Charles J.; et al., 92£:05022; 92i:05043 and 92k:05021 

Royle, Gordon F. see Chee, Yeow Meng, 92i:05041 

Shalaby, Nabil see Colbourn, Charles J.; et al., 92i:05042 and 92k:05021 

Sharry, Martin J. (with Street, Anne Penfold) A doubling construction for overlarge sets of 
Steiner triple systems. 92j:05026 

Shen, Hao Resolvable twofold triple systems without repeated triples. 92e:05017 

Stinson, Douglas R. (with Zhu, Lie!) Orthogonal Steiner triple systems of order 6m + 3. 
92c:05028 

— A survey of Kirkman triple systems and related designs. 92h:05020 

— see also Colbourn, Charles J.; et al., 92b:05011 and 92k:05022 

Street, Anne Penfold see Sharry, Martin J., 92j:05026 and Lindner, C. C., 92m:05030 

Teirlinck, Lac A completion of Lu’s determination of the spectrum for large sets of disjoint 
Steiner triple systems. 92c:05029 

Vanstone, Scott A. see Jungnickel, Dieter, 92k:05023 

Wang, Guo Xiang Existence of simple cyclic triple systems. (Chinese. English summary) 
92m:05032 


COMBINATORICS 


1992 


Wang, Jin Hua (with Zhu, Lie!) Doubly nested triple systems and nested B[4, 3A; v]. 
924:05021 

Xia, Wei Qun Existence of k-rotational S$(2, 3, v). (Chinese. English summary) 92e:05018 

Zhu, Lie! see Stinson, Douglas R., 92c:05028 and Wang, Jin Hua, 92d:05021 


Items with secondary classifications in 05B07 

Celona, Agatino A result on disjoint and mutually balanced partial quadruple systems. 
(Italian) 92b:05015 

Fu, Héng Lin More results on the intersections of Latin squares. 92a:05026 

Ganter, Bernhard (with Gronau, Hans-Dietrich O. F.) Two conjectures of Demetrovics, 
Firedi, and Katona, concerning partitions. 92f:05013 

Gower, Rebecca A. H. Nonisomorphic 2-perfect 6-cycle systems of order 13. 92k:05035 

Gronau, Hans-Dietrich O. F. see Ganter, Bernhard, 92f:05013 

Lenz, Hanfried Half a century of design theory. 92m:05003 

Lenzi, Domenico Steiner’s triple systems and a particular type of alternative or flexible 
algebras. (Italian summary) 92b:17002 

Schmitt, Eberhard On strongly regular graphs and configurations n3. 92j:05185 


05B10 Difference sets (number-theoretic, group-theoretic, etc.) 
[see also 11B13] 


Arasu, K.T. (with Davis, James Andrew; Jungnickel, Dieter; Pott, Alexander) Some 
nonexistence results on divisible difference sets. 92d:05022 

— (with Jungnickel, Dieter; Pott, Alexander) The Mann test for divisible difference sets. 
92k:05024 

Davis, James Andrew A note on nonabelian (64, 28, 12) difference sets. 92m:05033 

— A note on products of relative difference sets. 92d:05023 

— A result on Dillon’s conjecture in difference sets. 92g:05042 

— Difference sets in abelian 2-groups. 92g:05043 

— see also Arasu, K. T.; et al., 92d:05022 

Etzion, Tuvi Hamiltonian decomposition of K;, patterns with distinct differences, and 
Tuscan squares. 92h:05021 

Furino, Steven C. Difference families from rings. 92k:05025 

Ghinelli-Smit, Dina (with Lowe, Stefan) On multipliers of partial addition sets. 92g:05044 

Jungnickel, Dieter see Arasu, K. T.; et al., 92d:05022 and 92k:05024 

Koukouvinos, Christos (with Kounias, Stratis; Seberry, Jennifer) Supplementary difference 
sets and optimal designs. 92d:05024 

Kounias, Stratis see Koukouvinos, Christos; et al., 92d:05024 

Krasikov, I. (with Schénheim, J.) A problem on complete difference sets. 92i:05046 

Leung, Ka Hin (with Ma, Siu Lun) Constructions of partial difference sets and relative 
difference sets on p-groups. 92d:05025 

Léwe, Stefan see Ghinelli-Smit, Dina, 92g:05044 

Ma, Siu Lun see Leung, Ka Hin, 924:05025 

Phelps, K.T. (with Vanstone, Scott A.) Isomorphism of strong starters in cyclic groups. 
92c:05030 

Pott, Alexander see Arasu, K. T.; et al., 92d:05022 and 92k:05024 

Schinheim, J. see Krasikov, I., 92i:05046 

Seberry, Jennifer see Koukouvinos, Christos; ez al., 92d:05024 

Vanstone, Scott A. see Phelps, K. T., 92c:05030 

Wei, Wan Di A generalization of group difference sets and binary (v,k,A)-systems on r and 
s. 1. 92k:05026 

Wild, Peter Menon difference sets and relative difference sets. 92j:05027 


Items with secondary classifications in 05B10 

Ajtai, Miklés (with Iwaniec, Henryk; Komlés, Janos; Pintz, Janos; Szemerédi, Endre) 
Construction of a thin set with small Fourier coefficients. 92¢:11010 

Arasu, K.T. (with Pott, Alexander) On quasiregular collineation groups of projective 
planes. 92h:51012 

Assmus, E. F., Jr. (with Key, Jennifer D.) Hadamard matrices and their designs: a coding- 
theoretic approach. 92f:05024 

Biliotti, Mauro (with Korchmaros, Gabor) Transitive blocking sets in cyclic projective 
planes. 92j:51015 

Erdés, Paul (with Makai, Endre, Jr.; Pach, Janos; Spencer, Joel H.) Gaps in difference sets, 
and the graph of nearly equal distances. 92i:52021 

Ho, Chat Yin Some remarks on orders of projective planes, planar difference sets and 
multipliers. 92f:05027 

Hwang, Frank K. How to design round robin schedules. 92a:05027 

Iwaniec, Henryk see Ajtai, Miklés; et al., 92e:11010 

Jungnickel, Dieter On A-ovals and difference sets. 92g:05031 

— (with Tonchev, Vladimir D.) Intersection numbers of quasi-multiples of symmetric 
designs. 92m:05021 

Key, Jennifer D. see Assmus, E. F., Jr., 92f:05024 

Komlés, Janos see Ajtai, Miklés; et al., 92e:11010 

Korchmaros, Gabor see Biliotti, Mauro, 92j:51015 

Liu, Gang see Xia, Ming Yuan, 92i:05060 

Makai, Endre, Jr. see Erdés, Paul; et al., 92i:52021 

Pach, Janos see Erdés, Paul; et al., 92i:52021 

Pickert, Giinter Doppelebenen und Loops. (English summary) [Double planes and loops] 
92g:51003 

Pintz, Janos see Ajtai, Miklés; et al., 92e:11010 

Pott, Alexander see Arasu, K. T., 92h:51012 

Sés, Vera T. An additive problem in different structures. 92k:11026 

Spencer, Joel H. see Erdés, Paul; et al., 92i:52021 

Szemerédi, Endre see Ajtai, Miklés; et al., 92e:11010 

Tonchev, Vladimir D. see Jungnickel, Dieter, 92m:05021 

Xia, Ming Yuan (with Liu, Gang) An infinite class of supplementary difference sets and 
Williamson matrices. 92i:05060 





113 1992 


05B15 Orthogonal arrays, Latin squares, Room squares 


Abel, R. J. R. Four mutually orthogonal Latin squares of orders 28 and 52. 92i:05047 

Alves, Carlos Serra (with Gurganus, K.; McLaurin, S.; Smith, Douglas D.) On Latin 
triangles. 92i:05048 

Anderson, B. A. A family of n x n Tuscan-2 squares with n + 1 composite. 92j:05028 

— A product theorem for 2-sequencings. 92a:05025 

Anderson, Ian (with Liaw, Y.S.) Z-cyclic Room squares. 92m:05034 

Bao, Xiao Min On a Mouyart’s conjecture. 92k:05027 

Bedford, David Transversals in the Cayley tables of the noncyclic groups of order 8. 
92m:05035 

(Belyavskaya, G. B.) see Dénes, J., 92h:05022 

Brawley, J. V. (with Mullen, Gary L.) Infinite Latin squares containing nested sets of 
mutually orthogonal finite Latin squares. 92m:05036 

(Brouwer, A. E.) see Dénes, J., 92h:05022 

Chen, Mu Rong see Sun, Rong Guo; et al., 92i:05051 

Chen, Shi Hua see Tao, Ren Ji; et al., 92j:05032 

Cohen, Doron (with Etzion, Tuvi) Row-complete Latin squares which are not column- 
complete. 92j:05029 

Cooper, Joan (with Donovan, Diane; Seberry, Jennifer) Latin squares and critical sets of 
minimal size. 92i:05049 

Dénes, J. (with Keedwell, A.D.) * Latin squares. 92h:05022 

Donovan, Diane see Cooper, Joan; et al., 92i:05049 

Du, Bei Liang Some constructions of pairwise orthogonal diagonal Latin squares. 
92c:05031 

Eckhardt, Donald H. Cyclic groups and the generation of La Loubére magic squares. 
92b:05012 

(Erdés, Paul) see Dénes, J., 92h:05022 

Etzion, Tuvi see Golomb, Solomon W.; et al., 92c:05032 and Cohen, Doron, 92j:05029 

Evans, Anthony B. Maximal sets of mutually orthogonal Latin squares. I. 92k:05028 

(Evans, Trevor) see Dénes, J., 92h:05022 

Freeman, Geoffrey H. Triplex properties of 6 x 6 Latin squares. 92m:05037 

Fu, Chin Mei (with Fu, Héng Lin) The intersection problem of Latin squares. 92e:05019 

— (with Fu, Héng Lin; Guo, San Huei) The intersections of commutative Latin squares. 
92j:05030 

Fu, Héng Lin More results on the intersections of Latin squares. 92a:05026 

— see also Fu, Chin Mei, 92e:05019 and 92j:05030 

Fuji-Hara, R. (with Kuriki, S.) Mutually balanced nested designs. 92j:05031 

Golomb, Solomon W. (with Etzion, Tuvi; Taylor, Herbert) Polygonal path constructions for 
Tuscan-k squares. 92c:05032 

Graham, George P. (with Roberts, Charles E.) Maximal orthogonal sets of self-orthogonal 
Latin squares. 92k:05029 

Gu, Tong Xin see Liang, Pei Ji; et al., 92m:05039 

Guo, San Huei see Fu, Chin Mei; et al., 92j:05030 

Gurganus, K. see Alves, Carlos Serra; et al., 92i:05048 

Hedayat, A. S. (with Stufken, John) On the maximum number of factors in two construc- 
tion methods for orthogonal arrays. 92c:05033 

Heinrich, Katherine (with Wu, Li Sheng; Zhu, Lie') Incomplete self-orthogonal Latin 
squares ISOLS(6m + 6, 2m) exist for all m. 92e:05020 

— see also Dénes, J., 92h:05022 

Hilton, Anthony J. W. (with Rodger, C. A.; Wojciechowski, J.) Prospects for good 
embeddings of pairs of partial orthogonal Latin squares and of partial Kirkman triple 
systems. 92m:05038 

Hwang, Frank K. How to design round robin schedules. 92a:05027 

Keedwell, A. D. see Dénes, J., 92h:05022 

Kramer, Earl S. (with Wu, Qiu-rong; Magliveras, Spyros S.; Tran Van Trung) Some 
perpendicular arrays for arbitrarily large t. 92k:05030 

Kuriki, S. see Fuji-Hara, R., 92j:05031 

Lakhany, A. M. Method of duplication for developing magic squares of even order. 
92¢:05034 

Lamken, E. R. The existence of 3 orthogonal partitioned incomplete Latin squares of type 
t". 924:05026 

Laywine, C. F. Complete sets of frequency squares with subsquares. 92h:05023 

Li, Li? Using orthogonal Latin squares to construct double magic squares. (Chinese. English 
summary) 92h:05024 

Liang, Pei Ji (with Sun, Rong Guo; Gu, Tong Xin; Zhu, Lie') A construction of addition- 
multiplication magic squares using orthogonal diagonal Latin squares. 92m:05039 

Liaw, Y.S. see Anderson, Ian, 92m:05034 

Lindner, C.C. (with Rodger, C. A.) Generalized embedding theorems for partial Latin 
squares. 92m:05040 

— see also Dénes, J., 92h:05022 

Magliveras, Spyros S. see Kramer, Earl S.; et al., 92k:05030 

Mandeli, John P. Complete sets of mutually orthogonal F-squares of composite order 2*t 
with two and 2*-! symbols. 92d:05027 

McKay, Brendan D. (with Wormald, Nicholas C.) Uniform generation of random Latin 
rectangles. 92b:05013 

McLaurin, S. see Alves, Carlos Serra; et al., 92i:05048 

Mullen, Gary L. (with Shiue, Jau-Shyong) A simple construction for orthogonal Latin 
rectangles. 92g:05045 

— see also Brawley, J. V., 92m:05036 

Niemenmaa, Markku (with Vesanen, Ari) On Latin square distances. 92c:05035 

Ouyang, Lu Standard magic cubes and Galois fields. (Chinese. English summary) 

Parker, E.T. (with Sternfeld, Robert W.) Separation of Latin squares. 92g:05046 

Preece, D. A. Enumeration of some 7 x 15 Youden squares and construction of some 7 x 15 
double Youden rectangles. 92m:05041 

— see also Dénes, J., 92h:05022 

Quattrocchi, Gaetano A property of perpendicular arrays. 924:05028 

Roberts, Charles E. see Graham, George P., 92k:05029 

Rodger, C. A. see Hilton, Anthony J. W.; et al., 92m:05038 and Lindner, C. C., 92m:05040 

Seberry, Jennifer see Cooper, Joan; et al., 92i:05049 


05B Designs and configurations 


Shiue, Jau-Shyong see Mullen, Gary L., 92g:05045 

Singal, M. K. Orthogonal Latin squares. 

Siu, Man Keung Which Latin squares are Cayley tables? 92f:05023 

Smith, Douglas D. see Alves, Carlos Serra; et al., 921:05048 

Sternfeld, Robert W. see Parker, E. T., 92g:05046 

Stinson, Douglas R. (with Zhu, Lie!) On the existence of three MOLS with equal-sized 
holes. 92i:05050 

Stufken, John see Hedayat, A. S., 92c:05033 

Sun, Rong Guo Existence of magic rectangles. (Chinese. English summary) 924:05029 

— (with Chen, Mu Rong; Zhu, Jia Cheng) Existence of regular permutations, classical magic 
D-rectangles and pandiagonal magic D-cubes. (Chinese. English summary) 92i:05051 

— see also Liang, Pei Ji; et al., 92m:05039 

Tao, Ren Ji (with Chen, Shi Hua) Enumeration of Latin arrays. II. Case n = 4, k < 4. 
92j:05032 

Taylor, Herbert see Golomb, Solomon W.; et al., 92c:05032 

Tran Van Trung see Kramer, Earl S.; et al., 92k:05030 

Vesanen, Ari see Niemenmaa, Markku, 92c:05035 

Wang, J.C. (with Wu, C.-F. J.) An approach to the construction of asymmetrical 
orthogonal arrays. 92i:05052 

Wang, Jian Zhong' Investigation of the problem of dyeing square blocks. (Chinese. English 
summary) 92d:05030 

Wojciechowski, J. see Hilton, Anthony J. W.; et al., 92m:05038 

Wormald, Nicholas C. see McKay, Brendan D., 92b:05013 

Wa, C.-F. J. see Wang, J. C., 92i:05052 

Wu, Li Sheng see Heinrich, Katherine; et al., 92e:05020 

Wau, Qiu-rong see Kramer, Earl S.; et al., 92k:05030 

Zhu, Jia Cheng see Sun, Rong Guo; et al., 92i:05051 

Zhu, Lie! see Heinrich, Katherine; et al., 92e:05020; Stinson, Douglas R., 92i:05050 and 
Liang, Pei Ji; et al., 92m:05039 


Items with secondary classifications in 05B15 

Andersen, Lars Devling (with Hilton, Anthony J. W.) Extending edge-colorings of complete 
graphs and independent edges. 924:05061 

Anderson, Donald A. see Raghavarao, Damaraju; et al., 92f:62109 

Brualdi, Richard A. (with Csima, J.) Small matrices of large dimension. 92g:15032 

Csima, J. see Brualdi, Richard A., 92g:15032 

Etzion, Tuvi Hamiltonian decomposition of K;, patterns with distinct differences, and 
Tuscan squares. 92h:05021 

Hilton, Anthony J. W. see Andersen, Lars Devling, 92d:05061 

Nazarok, A. V. Double balanced tournament designs that admit partitions, and related 
problems. (Russian) 92c:05038 

Pesotan, H. see Raghavarao, Damaraju; et al., 92f:62109 

Raghavarao, Damaraju (with Anderson, Donald A.; Pesotan, H.) A class of optimally 
embedded resolution III designs. 92f:62109 

Schulz, Ralph-Hardo A note on check character systems using Latin squares. 92m:94019 

Shen, Ming Gang An embedding of edge-colored paths in complete graphs. (Chinese. 
English summary) 92b:05032 

Shevelev, V.S. The generalized Riordan formula for three-line Latin rectangles and its 
applications. (Russian. English summary) 92c:05012 


05B20 Matrices (incidence, Hadamard, etc.) 


Andreev, A. E. On an algebraic method for construction of extremal Boolean matrices. 
92a:05028 

Assmus, E. F., Jr. (with Key, Jennifer D.) Hadamard matrices and their designs: a coding- 
theoretic approach. 92f:05024 

Bain, Greg (with Lundgren, J. Richard; Maybee, John) Minimum Boolean factorizations of 
tournament codes. 92m:05042 

Bienstock, Daniel (with Gyéri, Ervin) An extremal problem on sparse 0-1 matrices. 
92b:05014 

Brualdi, Richard A. (with Liu, Bo Lian) A lattice generated by (0, 1)-matrices. 92d:05031 

Chung, Fan R. K. (with Fishburn, Peter C.; Wei, Victor K.) Monotone subsequences in 
(0, 1)-matrices. 92f:05025 

Craigen, R. Equivalence classes of inverse orthogonal and unit Hadamard matrices. 
92k:05031 

— Weighing matrices from generalized Hadamard matrices by 2-adjugation. 92i:05053 

— Embedding rectangular matrices in Hadamard matrices. 92e:05021 

— (with Seberry, Jennifer; Zhang, Xian Mo) Product of four Hadamard matrices. 
92j:05033 

Deng, Yuan Bei see Guo, Zhong; et al., 92g:05047 

Dokovié, Dragomir Z. On maximal (1, —1)-matrices of order 2n, n odd. (Serbo-Croatian 
summary) 92i:05054 

— Construction of some new Hadamard matrices. 92k:05032 

— Williamson matrices of orders 4 - 29 and 4- 31. 92j:05034 

Erdahl, Robert M. see Ryshkov, S. S., 92i:05056 

Etzion, Tuvi Combinatorial designs with Costas arrays properties. 92m:05043 

Fishburn, Peter C. see Chung, Fan R. K.; et al., 92f:05025 

Gao, Xu Hong see Wei, Wan Di; et al., 92a:05029 

Guo, Zhong (with Deng, Yuan Bei) Determination of primitivity and reducibility of (m — 
1)-cyclic Boolean matrices of order n. (Chinese. English summary) 92g:05047 

Gyéri, Ervin see Bienstock, Daniel, 92b:05014 

Hao, Pei Feng Index calculation of primitive matrices with null diagonal elements. 
(Chinese. English summary) 924:05032 

Hou, Xiang Dong The A-designs with e, = 4. 92m:05044 

Hwang, Suk Geun Doubly stochastic circulant matrices. 92j:05035 

Ito, Noboru Nearly triply regular Hadamard designs and tournaments. 92f:05026 

Key, Jennifer D. see Assmus, E. F., Jr., 92f:05024 

Kharaghani, H. An infinite class of Hadamard matrices of maximal excess. 924:05033 

Kim, Ki Hang (with Roush, F. W.) Permutations with restricted position and simplicial 
complexes. 92i:05055 





05B20 


Lin, Cantian (with Wallis, W.D.) Symmetric and skew equivalence of Hadamard matrices. 
92j:05036 

Liu, Bo Lian see Brualdi, Richard A., 92d:05031 

Liu, Gang see Xia, Ming Yuan, 92i:05060 

Lundgren, J. Richard see Bain, Greg; et al., 92m:05042 

Matud, Frantisek (with Tuzar, Antonin) Short proofs of Khintchine-type inequalities for 
zero-one matrices. 92m:05045 

Maybee, John see Bain, Greg; et al., 92m:05042 

Miyamoto, Masahiko A construction of Hadamard matrices. 92d:05034 

Roush, F. W. see Kim, Ki Hang, 92i:05055 

Ryshkov, S.S. (with Erdahl, Robert M.) Dual systems of integer vectors and their 
applications in the theory of (0, 1)-matrices. (Russian) 92i:05056 

Seberry, Jennifer A new construction for Williamson-type matrices. 92e:05022 

— (with Zhang, Xian Mo) Some orthogonal designs and complex Hadamard matrices by 
using two Hadamard matrices. 92i:05057 

— Existence of SBIBD(4k?, 2k? + k,k? + k) and Hadamard matrices with maximal excess. 
92j:05037 

— (with Yamada, Mieko) Amicable Hadamard matrices and amicable orthogonal designs. 
92k:05033 

— see also Craigen, R.; et al., 92j:05033 

Shader, Bryan L. Maximal convertible matrices. 92j:05038 

Shoaib-ud-Din Core of a Hadamard hypernet. 92i:05058 

Tuzar, Antonin see Matis, Frantisek, 92m:05045 

Wallis, W. D. see Lin, Cantian, 92j:05036 

Wei, Victor K. see Chung, Fan R. K.; et al., 92f:05025 

Wei, Wan Di (with Yang, Ben Fu; Gao, Xu Hong) Distribution of values of permanent and 
standard forms of (0, 1)-matrices. 92a:05029 

Xia, Ming Yuan Hadamard matrices. 92i:05059 

— (with Liu, Gang) An infinite class of supplementary difference sets and Williamson 
matrices. 92i:05060 

Yamada, Mieko Hadamard matrices of generalized quaternion type. 92a:05030 

— see also Seberry, Jennifer, 92k:05033 

Yang, Ben Fu see Wei, Wan Dis; et al., 92a:05029 

Zhang, Xian Mo G-matrices of order 19. 92k:05034 

— see also Seberry, Jennifer, 92i:05057 and Craigen, R.; et al., 92j:05033 

Zhu, Lie’ An infinite family of complex amicable Hadamard matrices. 92d:05035 


Items with secondary classifications in 05B20 

Au-Yeung, Yik Hoi (with Cheng, Che-Man) Permutation matrices whose convex combina- 
tions are orthostochastic. 92g:15031 

Barrett, Wayne W. (with Jarvis, Tyler J.) Spectral properties of a matrix of Redheffer. 
92k:15037 

Bowler, Andrew (with Quinn, Kathleen; Seberry, Jennifer) Generalised Bhaskar Rao 
designs with elements from cyclic groups of even order. 92g:05048 

Brualdi, Richard A. (with Shader, Bryan L.) On sign-nonsingular matrices and the 
conversion of the permanent into the determinant. 92f:15003 

— (with Csima, J.) Small matrices of large dimension. 92g:15032 

Bruen, A. A. (with Ott, U.) On the p-rank of incidence matrices and a question of E. S. 
Lander. 924:05036 

Bulut, Hamza Further results on the spectral decomposition of an incidence matrix. 
92g:90069 

Chadjiconstantinidis, Stathis (with Moyssiadis, Chronis) Some D-optimal odd- 
equireplicated designs for a covariate model. 92i:62145 

Cheng, Che-Man see Au-Yeung, Yik Hoi, 92g:15031 

Csima, J. see Brualdi, Richard A., 92g:15032 

Dowd, Martin An integer program for codes. 92h:94025a 

— Erratum: “An integer program for codes”. 92h:94025b 

Faji-Hara, R. see Yuan, F.; et al., 92m:05029 

Golomb, Solomon W. Construction of signals with favourable correlation properties. (see 
92m:05006) 

Haemers, Willem H. Divisible designs with r — A, = 1. 92g:05050 

Hartfiel, D. J. Full patterns in truncated transportation polytopes. 92h:52011 

IVichev, A. P. see Shevchenko, V. N., 92k:15022 

Jarvis, Tyler J. see Barrett, Wayne W., 92k:15037 

Jiang, Zhi Min? (with Shao, Jia Yu) On the set of indices of convergence for reducible 
matrices. 92e:15024 

Jimbo, Masakazu see Yuan, F.; et al., 92m:05029 

Lin, Cantian (with Wallis, W.D.) On optimal weighing designs. 92i:05067 

Moyssiadis, Chronis see Chadjiconstantinidis, Stathis, 92i:62145 

Ott, U. see Bruen, A. A., 92d:05036 

Palmer, William D. Generalized Bhaskar Rao designs with two association classes. 
92g:05036 

Quinn, Kathleen see Bowler, Andrew; et al., 92g:05048 

Seberry, Jennifer see Bowler, Andrew; et al., 92g:05048 

Seymour, P.D. On Lehman’s width-length characterization. 92d:05113 

Shader, Bryan L. see Brualdi, Richard A., 92f:15003 

Shao, Jia Yu see Jiang, Zhi Min”, 92e:15024 

Shevchenko, V.N. (with Iichev, A. P.) Minors and permanents of some (0, 1)-matrices. 
(Russian) 92k:15022 

Shevelev, V.S. Sums of subpermanents of linear hulls of permutation matrices. (Russian) 
92k:15023 

Stuart, Jeffrey L. (with Weaver, James R.) Matrices that commute with a permutation 
matrix. 92k:15036 

Wallis, W. D. see Lin, Cantian, 92i:05067 

Weaver, James R. see Stuart, Jeffrey L., 92k:15036 

Yuan, F. (with Jimbo, Masakazu; Fuji-Hara, R.) An extension method for balanced arrays. 
92m:05029 


COMBINATORICS 


05B25 Finite geometries [see also 51D20, 51Exx] 


Bokowski, Jiirgen (with Richter-Gebert, Jiirgen) A new Sylvester-Gallai configuration 
representing the 13-point projective plane in R‘*. 92i:05061 

Bruen, A. A. (with Ott, U.) On the p-rank of incidence matrices and a question of E. S. 
Lander. 924:05036 

Evans, David M. (with Hrushovski, Ehud) Projective planes in algebraically closed fields. 
92a:05031 

Fisher, P. H. Extended 4 x 4 grids. 92i:05062 

Ho, Chat Yin Some remarks on orders of projective planes, planar difference sets and 
multipliers. 92f:05027 

Hrushovski, Ehud see Evans, David M., 92a:05031 

Jungnickel, Dieter (with Tonchev, Vladimir D.) On symmetric and quasi-symmetric 
designs with the symmetric difference property and their codes. 92m:05046 

Kocay, William A relation between the Fano plane and the Petersen graph. 

Ott, U. see Bruen, A. A., 92d:05036 

Richter-Gebert, Jiirgen see Bokowski, Jiirgen, 92i:05061 

Tonchev, Vladimir D. see Jungnickel, Dieter, 92m:05046 


Items with secondary classifications in 05B25 


Assmus, E. F., Jr. (with Prince, Alan R.) Biplanes and near biplanes. 92k:51008 

Beutelspacher, Albrecht (with Ueberberg, Johannes) On the intersection of Baer subspaces. 
92¢:51014 

Blokhuis, Aart (with Mazzocca, Francesco) Special point sets in PG(n, q) and the structure 
of sets with the maxima! number of nuclei. 92f:51009 

Bolker, Ethan D. (with Grinberg, Eric L.; Kung, Joseph P.S.) Admissible complexes for the 
combinatorial Radon transform. A progress report. 92h:51013 

Cameron, Peter J. Covers of graphs and EGQs. 92k:51009 

Cherowitzo, William E. Hyperovals in the translation planes of order 16. 92e:51014 

Clark, W. Edwin Blocking sets in finite projective spaces and uneven binary codes. 
92j:51016 

De Soete, Marijke New bounds and constructions for authentication/secrecy codes with 
splitting. 92j:94011 

Drake, David A. A bound for blocking sets in finite projective planes. 92c:51015 

Dress, Andreas W. M. (with Wenzel, Walter) The Tutte group of projective spaces. (see 
92d:05006) 

Edelsbrunner, Herbert Lines in space—a collection of results. 92m:52028 

Faina, Giorgio Graphs, codes and Buekenhout ovals of even order. 92k:51016 

Ferri, Osvaldo (with Tallini,G.) A characterization of nonsingular quadrics in PG(4, q). 
(Italian. English summary) 92m:51019 

Frankl, Peter (with Firedi, Zoltan) A sharpening of Fisher’s inequality. 92h:51024 

Firedi, Zoltén see Frankl, Peter, 92h:51024 

Gali¢, Radoslav U-k seminets of maximal degree. (Serbo-Croatian summary) 92h:51026 

Glynn, David G. The construction of self-dual binary codes from projective planes of odd 
order. 92h:94032 

Grinberg, Eric L. see Bolker, Ethan D.; et al., 92h:51013 

Gropp, Harald Blocking sets in configurations n3. 92h:51015 

Hachenberger, Dirk Constructions of large translation nets with nonabelian translation 
groups. 92h:51011 

Hahn, Erika Blocking sets in linear spaces. 92h:51016 

He, Yu Zhang A note on finite geometric models constructed with addition sets. (Chinese. 
English summary) 92a:51010 

Heden, Olof A greedy search for maximal partial spreads in PG(3, 7). 92m:51013 

Hiramine, Yutaka (with Johnson, Norman Lloyd!) Generalized André planes of order p‘ 
that admit a homology group of order (p' — 1)/2. 92m:51016 

Johnson, Norman Lloyd! Flocks and partial flocks of quadric sets. 92a:51004 

— see also Hiramine, Yutaka, 92m:51016 

Jungnickel, Dieter On A-ovals and difference sets. 92g:05031 

— On the existence of small quasimultiples of affine and projective planes of arbitrary order. 
92m:51007 

— (with Tonchev, Vladimir D.) Intersection numbers of quasi-multiples of symmetric 
designs. 92m:05021 

— (with Vanstone, Scott A.) Triple systems in PG(2,q). 92k:05023 

Key, Jennifer D. Hermitian varieties as codewords. 92j:51018 

— (with Mackenzie, Kirsten) An upper bound for the p-rank of a translation plane. 
92a:51005 

Kolesova, G. see Lam, Clement W. H.; et al., 92j:51012 

Kordecki, Wojciech (with Luczak, Tomasz) On random subsets of projective spaces. 
92k:51014 

Kovachev, Kolcho A ternary structure for biplanes. 92h:51007 

Kung, Joseph P.S. see Bolker, Ethan D.; et al., 92h:51013 

Lam, Clement W. H. The search for a finite projective plane of order 10. 92b:51013 

— (with Kolesova, G.; Thiel, Larry Henry) A computer search for finite projective planes of 
order 9. 92j:51012 

Lefmann, Hanno Non-t-intersecting families of linear spaces over GF(q). 92c:05159 

Lo Re, Pia Maria see de Vito, Paola, 92e:51021 and 92h:51025 

Luczak, Tomasz see Kordecki, Wojciech, 92k:51014 

Lunardon, Guglielmo A remark on the derivation of flocks. 92m:51020 

Mackenzie, Kirsten see Key, Jennifer D., 92a:51005 

Mason, Geoffrey Remarks on nonassociative Galois theory. 92h:51020 

Mazzocca, Francesco see Blokhuis, Aart, 92f:51009 

Metsch, Klaus On the nonexistence of certain (7, 1)-designs. 92g:05051 

— see also de Vito, Paola; et al., 92h:51025 

Milici, Salvatore (with Quattrocchi, Gaetano) Ovals and hyperovals in maximum partial 
triple systems. 92i:05044 

Prince, Alan R. see Assmus, E. F., Jr., 92k:51008 

Quattrocchi, Gaetano see Milici, Salvatore, 92i1:05044 

Quattrocchi, Pasquale (with Rinaldi, Gloria) Automorphisms of (B)-geometries. 
92h:51023 

Rinaldi, Gloria see Quattrocchi, Pasquale, 92h:51023 





115 1992 


Ryan, Charles T. Linear sections of the general linear group: a geometric approach. 
92i:51018 

Shaw, Ronald Clifford algebras, spinors and finite geometries. 92j:15017 

Tallini, G. see Ferri, Osvaldo, 92m:51019 

Thiel, Larry Henry see Lam, Clement W. H.; et al., 92j:51012 

Tonchev, Vladimir D. see Jungnickel, Dieter, 92m:05021 

Tran Van Trung Maximal arcs and related designs. 92j:05022 

Ueberberg, Johannes see Beutelspacher, Albrecht, 92c:51014 

Vanstone, Scott A. see Jungnickel, Dieter, 92k:05023 

de Vito, Paola (with Lo Re, Pia Maria; Metsch, Klaus) Linear spaces in which every long 
line intersects v + 2 other lines. 92h:51025 

— (with Lo Re, Pia Maria) Linear spaces with n? + n + 1 points and n? + 3n lines. (Italian. 
English summary) 92e:51021 

Wenzel, Walter see Dress, Andreas W. M., (92d:05006) 


05B30 Other designs, configurations [see also 51E30] 


Afsarinejad, Kasra On the optimality of Knut Vik designs. 92m:05047 

Alspach, Brian (with Heinrich, Katherine) Matching designs. 92i:05063 

Arasu, K.T. (with Pott, Alexander) Group divisible designs with 2% points. 92i:05064 

Bajnok, Bela Construction of designs on the 2-sphere. 92j:05039 

— Construction of spherical 4- and 5-designs. 92i:05065 

Billington, Elizabeth J. (with Hoffman, D.G.) The number of repeated blocks in balanced 
ternary designs with block size three. II. 92m:05048 

— (with Mahmoodian, E. S.) On t-multi-set designs. 92m:05049 

Bowler, Andrew (with Quinn, Kathleen; Seberry, Jennifer) Generalised Bhaskar Rao 
designs with elements from cyclic groups of even order. 92g:05048 

Brison, Owen J. A construction of a Steiner quadruple system SQS(20) on the vertices of a 
regular dodecahedron. 

Celona, Agatino A result on disjoint and mutually balanced partial quadruple systems. 
(Italian) 92b:05015 

Chen, Shi Hua see Tao, Ren Ji; et al., 92c:05039 

Chopra, D. V. Balanced arrays and Minkowski’s inequality. 92h:05025 

Francel, Margaret Ann (with Sarvate, Dinesh G.) A construction of balanced ternary 
designs based on SBIBDs. 92f:05028 

Gower, Rebecca A. H. Nonisomorphic 2-perfect 6-cycle systems of order 13. 92k:05035 

Gropp, Harald On the existence and nonexistence of configurations n,. 92g:05049 

Haemers, Willem H. Divisible designs with r — A, = 1. 92g:05050 

Hammer, Joseph (with Sarvate, Dinesh G.) An application of graph representation of 
designs. 

Heinrich, Katherine see Alspach, Brian, 92i:05063 

Henrich, Christopher J. Magic squares and linear algebra. 92d:05037 

Higman, D.G. Computations related to coherent configurations. 92a:05032 

Hoffman, D. G. see Billington, Elizabeth J., 92m:05048 

Jackson, Wen-Ai On the elation structure of specific designs. 92j:05040 

Kawamoto, Kiyotaka (with Yoshikura, Akiko; Suzuki, Hiroshi) On self-orthogonal Steiner 
systems over a finite field. (Japanese summary) 92c:05036 

Lakhany, A.M. Magic cubes of odd order. 92d:05038 

Lamken, E. R. 3-complementary frames and doubly near resolvable (v, 3, 2)-BIBDs. 
92e:05023 

— On near generalized balanced tournament designs. 92j:05041 

de Launey, Warwick On the construction of n-dimensional designs from 2-dimensional 
designs. 92i:05066 

Lin, Cantian (with Wallis, W. D.) On optimal weighing designs. 92i:05067 

Lo Faro, G. (with Marino, Maria Corinna) On the set J*(v) for Steiner quadruple systems 
of order V = 4,8 (mod 12). 92h:05026 

Mahmoodian, E.S. see Billington, Elizabeth J., 92m:05049 

Manduchi, Elisabetta Steiner heptagon systems. 92b:05016 

Marino, Maria Corinna see Lo Faro, G., 92h:05026 





Masaro, Joe (with Wong, Chi Song) Type I optimal weighing designs when N = 3 (mod 4). 


92m:05050 

Maurin, Francis Une méthode de construction de plans en blocs de chainettes. (English 
summary) [A method for constructing handcuffed designs] 92h:05027 

Mendelsohn, Eric (with Shalaby, Nabil; Shen, Hao) Nuclear designs. 92j:05042 

Metsch, Klaus On the nonexistence of certain (7, 1)-designs. 92g:05051 

Micale, Biagio On the spectrum of ordered quadruple systems. 92c:05037 

Mills, W. H. On the existence of H designs. 92j:05043 

Mimura, Yoshio A construction of spherical 2-design. 92b:05017 

Nazarok, A. V. Double balanced tournament designs that admit partitions, and related 
problems. (Russian) 92c:05038 

Neidhardt, Wolfgang On near-ovals and near-systems in SQS. 92b:05018 

Pattison, Sandra J. (with Street, Deborah J.) Small nonisomorphic repeated measurements 
designs. 92g:05052 

Pott, Alexander see Arasu, K. T., 92i:05064 

Preece, D. A. Double Youden rectangles of size 6 x 11. 92¢:05024 

Quinn, Kathleen see Bowler, Andrew; et al., 

Rahilly, Alan Semiregular group divisible designs whose duals are semiregular group 
divisible. 92i:05068 

— Semiregular group divisible designs with dual properties. 92m:05051 

Romano, Rosaria Transversals and blocking sets in decomposable So2(k — 1,k,v). 
92j:05044 

Sarvate, Dinesh G. Bhaskar Rao ternary designs and applications. 92g:05053 

— see also Francel, Margaret Ann, 92:05028 and Hammer, Joseph 

Seberry, Jennifer see Bowler, Andrew; et al., 92g:05048 

Shalaby, Nabil see Mendelsohn, Eric; et al., 92j:05042 

Shen, Hao see Mendelsohn, Eric; et al., 92j:05042 

Solé, Patrick The covering radius of spherical designs. 92i:05069 

Street, Deborah J. see Pattison, Sandra J., 92g:05052 

Suzuki, Hiroshi On the inequalities of t-designs over a finite field. 92e:05025 

— “t-designs” in H(d,q). 92f:05029 


05B Designs and configurations 


05B35 


— see also Kawamoto, Kiyotaka; et al., 92c:05036 

Tang, Yu Ming A proof of an algorithm for adding sides to bordered magic squares. 
(Chinese. English summary) 92d:05039 

Tao, Ren Ji (with Chen, Shi Hua) Enumeration of Latin arrays. I. Case n < 3. 92¢:05039 

Vogel, Ute Konstruktion auflésbarer Fast-Blockplane mit Hilfe eines Computers. [Con- 
struction of solvable almost block designs with the aid of a computer] 92k:05036 

Wallis, W. D. see Lin, Cantian, 92i:05067 

Wong, Chi Song see Masaro, Joe, 92m:05050 

Yoshikura, Akiko see Kawamoto, Kiyotaka; et al., 92c:05036 


Items with secondary classifications in 05B30 

Beck, Jézsef Almost collinear triples among N points on the plane. 92h:52019 

Berardi, Luigia (with Eugeni, Franco; Innamorati, Stefano) Generalized designs, linear 
spaces, hypergroupoids and algebraic cryptography. 92m:20063 

Bolker, Ethan D. see Boman, Jan; et al., 92m:05014 

Boman, Jan (with Bolker, Ethan D.; O’Neil, Patrick) The combinatorial Radon transform 
modulo the symmetric group. 92m:05014 

Brickell, Ernest F. (with Stinson, Douglas R.) The detection of cheaters in threshold 
schemes. 92:94012 

Colbourn, Charles J. (with Rosa, Alexander; Stinson, Douglas R.) Pairwise balanced 
designs with block sizes three and four. 92g:05028 

— (with Lindner, C. C.; Rodger, C. A.) Neighbor designs and m-wheel systems. 92k:62140a 

— (with Lindner, C. C.; Rodger, C. A.) Erratum: “Neighbor designs and m-wheel systems”. 
92k:62140b 

Erdés, Paul (with Spencer, Joel H.) Lopsided Lovasz local lemma and Latin transversals. 
92c:05160 

Eugeni, Franco see Berardi, Luigia; et al., 92m:20063 

Fuji-Hara, R. (with Kuriki, S.) Mutually balanced nested designs. 92j:05031 

Gandhi Prasad, N.S. see Gupta, Vinod Kumar, 92h:62112 

Gupta, Vinod Kumar (with Gandhi Prasad, N.S.) On general efficiency balanced row 
column designs. 92h:62112 

Hamm, R.C. see Sarvate, Dinesh G., 92k:05019 

Heinrich, Katherine (with Kobayashi, Midori; Nakamura, Gisaku) Dudeney’s round table 
problem. 92m:05149 

Hou, Xiang Dong The A-designs with e, = 4. 92m:05044 

Innamorati, Stefano see Berardi, Luigia; et al., 92m:20063 

Kapranov, M. M. see Voevodskii, V. A., 92h:05031 

Klemm, Michael Necessary conditions for the existence of divisible designs. 92f:05018 

Kobayashi, Midori see Heinrich, Katherine; et al., 92m:05149 

Koukouvinos, Christos (with Kounias, Stratis; Seberry, Jennifer) Supplementary difference 
sets and optimal designs. 924:05024 

Kounias, Stratis see Koukouvinos, Christos; et al., 92d:05024 

Kuriki, S. see Fuji-Hara, R., 92j:05031 

Kuwada, Masahide An analysis of variance of partially balanced fractional 2”'*” factorial 
designs of resolution V. 92h:62124 

Lindner, C.C. see Colbourn, Charles J.; et al., 92k:62140a and 92k:62140b 

Mandeli, John P. Sets of mutually orthogonal row-column designs containing designs for 
comparing test treatments with controls. 92h:62119 

Nakamura, Gisaku see Heinrich, Katherine; et al., 92m:05149 

O’Neil, Patrick see Boman, Jan; et al., 92m:05014 

Pott, Alexander (with Shrikhande, M.S.) ¢-designs with few intersection numbers. 
92g:05037 

Rodger, C. A. see Colbourn, Charles J.; et al., 92k:62140a and 92k:62140b 

Rosa, Alexander see Colbourn, Charles J.; et al., 92g:05028 

Sarvate, Dinesh G. (with Hamm, R.C.) Row-column directed block designs. 92k:05019 

Seberry, Jennifer see Koukouvinos, Christos; et al., 92d:05024 

Shrikhande, M.S. see Pott, Alexander, 92g:05037 

Spencer, Joel H. see Erdés, Paul, 92c:05160 

Spera, Antonino Giorgio (s,k,A)-partitions of a vector space. 92c:51022 

— On affine translation divisible designs. 92e:51008 

Stinson, Douglas R. see Brickell, Ernest F., 92f:94012 and Colbourn, Charles J.; et al., 
92 

Stojakevi¢, Zoran On cyclic (2, m)-groupoids. (Serbo-Croatian summary) 92a:20081 

— On a class of cyclic vector-valued groupoids. 92a:20082 

Tallini, G. Varieties of Steiner systems. (Italian. English summary) 92b:51011 

Tran Van Trung Nonembeddable quasi-residual designs. 92b:05010 

Voevodskii, V. A. (with Kapranov, M. M.) The free n-category generated by a cube, 
oriented matroids and higher Bruhat orders. (Russian) 92h:05031 

Yu, Xingxing On neighbourhood line graphs. 92i:05215 


05B35 Matroids, geometric lattices [see also 52B40, 90C27] 


Acketa, Dragan M. (with Novak, Ladislav) An algorithm for the generation of the matroid 
associated to a given matrix. (Serbo-Croatian summary) 92m:05052 

Aharoni, Ron (with Pouzet, Maurice) Bases in infinite matroids. 92m:05053 

Akkari, Safwan (with Hobbs, Arthur M.) Minimum iterated closure—dual closure sequences 
in matroids. 92i:05070 

— (with Oxley, James G.) Some extremal connectivity results for matroids. 92g:05054 

Alfter, M. (with Kern, Walter; Wanka, A.) On adjoints and dual matroids. 92a:05033 

Bienia, W. (with Silva, Ilda P.) On the inversion of the sign of one basis in an oriented 
matroid. 92g:05055 

Bogart, Kenneth P. see Bonin, Joseph E., 92b:05019 

Bonin, Joseph E. (with Bogart, Kenneth P.) A geometric characterization of Dowling 
lattices. 92b:05019 

Bouchet, André Tutte-Martin polynomials and orienting vectors of isotropic systems. 
92i:05071 

Cordovil, Raul (with Duchet, Pierre) On sign-invariance graphs of uniform oriented 
matroids. 92a:05034 

— (with Fukuda, Komei; Moreira, Maris Leonor) Ciutters and matroids. 924:05040 








05B35 


Coullard, Collette R. (with del Greco, John G.; Wagner, Donald K.) Representations of 
bicircular matroids. 92i:05072 

Donald, John (with Tobey, Malcolm) A generalised exchange theorem for matroid bases. 
92¢:05026 

Dress, Andreas W. M. (with Wenzel, Walter) The Tutte group of projective spaces. (see 
92d:05006) 

— (with Wenzel, Walter) Grassmann-Pliicker relations and matroids with coefficients. 
92c:05040 

Duchamp, Alain Delta matroids whose fundamental graphs are bipartite. 92m:05054 

Duchet, Pierre see Cordovil, Raul, 92a:05034 

Fernandez-Baca, David (with Williams, Mark A.) On matroids and hierarchical graphs. 
92, 

Friederich, Syivia C. (with Gargano, Michael L.; Quintas, Louis V.) Matroid bases with 
optimal sequencing. 92j:05045 

Fukuda, Komei see Cordovil, Raul; et al., 92d:05040 

Gargano, Michael L. see Friederich, Sylvia C.; et al., 92j:05045 

Goetschel, Roy, Jr. (with Voxman, William) Fuzzy matroids and a greedy algorithm. 
92a:05035 

— (with Voxman, William) Fuzzy rank functions. 92f:05030 

— (with Voxman, William) Fuzzy matroid structures. 92g:05057 

Graver, Jack E. Rigidity matroids. 92g:05058 

del Greco, John G. see Coullard, Collette R.; et al., 92i:05072 

Greene, Tom Descriptively sufficient subcollections of flats in matroids. 92a:05036 

Handa, Keiichi The faces and coboundaries of an acycloid. 92k:05037 

Hobbs, Arthur M. see Akkari, Safwan, 92i:05070 

Hochstittler, W. (with Rieder, J.) A note on the lattice of 2-matroid-intersections. 
92h:05028 

Innamorati, Stefano A property equivalent to exchange property in matroids. 92c:05041 

Kapranov, M. M. see Voevodskii, V. A., 92h:05031 

Kern, Walter see Alfter, M.; et al., 92a:05033 

Lai, Hong-Jian (with Lai, Hongyuan) A note on uniformly dense matroids. 92h:05029 

Lai, Hongyuan see Lai, Hong-Jian, 92h:05029 

Lee, Jon? The incidence structure of subspaces with well-scaled frames. 92d:05041 

Lemos, Manoel k-elimination property for circuits of matroids. 92e:05027 

Liu, Gui Zhen Some lower bounds for the numbers of matroid bases with partition 
restrictions. (Chinese. English summary) 92¢:05028 

Majeher, Zofia (with Plonka, Jerzy) Connected partitions and cycle matroids of graphs. 
92m:05055 

Moreira, Maris Leonor see Cordovil, Raul; et al., 92d:05040 

Novak, Ladislav see Acketa, Dragan M., 92m:05052 

Oxley, James G. Ternary paving matroids. 92k:05038 

— (with Whittle, Geoff) A note on the nonspanning circuits of a matroid. 92b:05020 

— On minors avoiding elements in matroids. 92i:05073 

— see also Akkari, Safwan, 92g:05054 

Pionka, Jerzy see Majcher, Zofia, 92m:05055 

Pouzet, Maurice see Aharoni, Ron, 92m:05053 

Quintas, Louis V. see Friederich, Sylvia C.; et al., 92j:05045 

Reid, Talmage James A note on roundedness in 4-connected matroids. 92g:05059 

— Triangles in 3-connected matroids. 92i:05074 

Rieder, J. The lattices of matroid bases and exact matroid bases. 92b:05021 

— see also Hochstittler, W., 92h:05028 

Servatius, Brigitte On the two-dimensional generic rigidity matroid and its dual. 92d:05042 

Silva, Ilda P. see Bienia, W., 92g:05055 

Tobey, Malcolm see Donald, John, 92¢:05026 

Triesch, Eberhard A short proof that matching matroids are transversal. 

Truemper, Klaus A decomposition theory for matroids. V. Testing of matrix total 
unimodularity. 92g:05060 

Tyshkevich, R. I. (with Urbanovich, O. P.; Zverovich, I. E.) Matroidal decomposition of a 
graph. 92b:05022 

Urbanovich, O. P. see Tyshkevich, R. 1.; et al., 92b:05022 

Vince, Andrew Elementary divisors of graphs and matroids. 92h:05030 

Voevodskii, V. A. (with Kapranov, M. M.) The free n-category generated by a cube, 
oriented matroids and higher Bruhat orders. (Russian) 92h:05031 

Voxman, William see Goetschel, Roy, Jr., 92a:05035; 92f:05030 and 92g:05057 

Wagner, Donald K. see Coullard, Collette R.; et al., 92i:05072 

Wang, Zhe Min A finite algorithm for feasible circuits over oriented matroids. (see 
92b:05001) 

Wanka, A. see Alfter, M.; et al., 92a:05033 

Wanner, Thomas (with Ziegler, Ginter M.) Supersolvable and modularly complemented 
matroid extensions. 92i:05075 

Wenzel, Walter Projective equivalence of matroids with coefficients. 92e:05029 

— see also Dress, Andreas W. M., 92c:05040 and (92d:05006) 

Whittle, Geoff see Oxley, James G., 92b:05020 

Williams, Mark A. see Fernandez-Baca, David, 92g:05056 

Ziegler, Ginter M. Some minimal nonorientable matroids of rank three. 92c:05042 

— Binary supersolvable matroids and modular constructions. 92b:05023 

— see also Wanner, Thomas, 92i:05075 

Zil’ber, B. 1. Algebraic geometry and combinatorics: a model-theoretic point of view. 
92m:05056 

Zverovich, I.E. see Tyshkevich, R. 1.; et al., 92b:05022 


Items with secondary classifications in 05B35 


Alliney, Stefano A lower bound for the worst case performance of the greedy algorithm for 
defective independence systems. (Italian summary) 92k:90068 

Bjérner, Anders (with Ziegler, Ginter M.) Broken circuit complexes: factorizations and 
generalizations. 92b:52027 

Bokowski, Jirgen On the geometric flat embedding of abstract complexes with symmetries. 
92£:52026 

— (with Guedes de Oliveira, Anténio; Richter-Gebert, Jiirgen) Algebraic varieties 
characterizing matroids and oriented matroids. 92d:52032 


COMBINATORICS 1992 


Burkard, Rainer E. (with Yao, En Yu) Constrained partitioning problems. 92b:90218 

Chen, Dong Sheng (with Wan, Zhe Xian) The characteristic polynomial of a geometric 
lattice in symplectic geometry over finite fields. 92m:11142 

Cortez Morales, Walter Julio Whitney’s theorem: an extension. (Portuguese. English 
summary) 92g:05138 

Delandtsheer, Anne Dimensional linear spaces whose automorphism group is (line, 
hyperplane)-flag transitive. 92k:51020 

Evans, David M. (with Hrushovski, Ehud) Projective pianes in algebraically closed fields. 
92a:05031 

Faigle, Ulrich Dilworth’s completion, submodular functions, and combinatorial optimiza- 
tion. (see 92f:01002) 

Fujishige, Satoru * Submodular functions and optimization. 92k:90054 

Fukuda, Komei (with Saito, Shigemasa; Tamura, Akihisa) Combinatorial face enumeration 
in arrangements and oriented matroids. 92d:52029 

Gerards, A. M. H. * Graphs and polyhedra. Binary spaces and cutting planes. 92f:52027 

Graw, Bernd Decision problems and Coxeter groups. 92¢:20021 

Guedes de Oliveira, Anténio see Bokowski, Jiirgen; et al., 92d:52032 

Horak, Peter Transversals and matroids. 92a:05129 

Hrushovski, Ehud see Evans, David M., 92a:05031 

(Lindstrém, Bernt) see Strambach, Karl, 92a:51002 

Liu, Gui Zhen Proof of a conjecture on matroid base graphs. 92b:05057 

Levasz, Laszl6 Singular spaces of matrices and their application in combinatorics. 
92i:05161 

(Marcu, Danut) see Strambach, Karl, 92a:51002 

Maurota, Kazuo (with van der Woude, Jacob W.) Structure at infinity of structured 
descriptor systems and its applications. 92d:93034 

— On the Smith normal form of structured polynomial matrices. 92k:15032 

Orlik, Peter Arrangements in topology. 92k:52023 

Richter-Gebert, Jiirgen see Bokowski, Jiirgen; et al., 92d:52032 

Saito, Shigemasa see Fukuda, Komei; et al., 92d:52029 

Schrijver, Alexander (with Seymour, P. D.) Spanning trees of different weights. 92d:05048 

Sebé, Andras The cographic multiflow problem: an epilogue. 92i:90046 

Seymour, P. D. see Schrijver, Alexander, 92d:05048 

Simées-Pereira, J. M.S. A flavor of matroids, graphs and optimal job assignment problems 
in operations research. 92b:90119 

Spinrad, Jeremy P. Note on recognition of matroid systems. 92g:90112 

Strambach, Karl (with Veldkamp, Ferdinand D.) Editorial statement: “On the representa- 
tions of projective geometries in algebraic combinatorial geometries” [Geom. Dedicata 
30 (1989), no. 3, 297-303; MR 90e:51012] by D. Marcu and “On p-polynomial represen- 
tations of projective geometries in algebraic combinatorial geometries” [Math. Scand. 63 
(1988), no. 1, 36-42; MR 90d:51012] by B. Lindstrém. 92a:51002 

Tamura, Akihisa see Fukuda, Komei; et al., 92d:52029 

Terao, Hiroaki Factorizations of the Orlik-Solomon algebras. 92m:52024 

Veldkamp, Ferdinand D. see Strambach, Karl, 92a:51002 

Wan, Zhe Xian see Chen, Dong Sheng; et al., 92m:11142 

Weidner, Michael Praefrattinigruppen und Matroide. (English summary) [Pre-Frattini 
groups and matroids] 92f:20023 

van der Woude, Jacob W. see Murota, Kazuo, 92d:93034 

Wa, Ju Lin Forest-inducing independence systems of graphs. (Chinese. English summary) 
92m:05196 

Yao, En Yu see Burkard, Rainer E., 92b:90218 

Ziegler, Ginter M. see Bjérner, Anders, 92b:52027 


05B40 Packing and covering [see also 11H31, 52C15, 52C17] 


Assaf, Ahmed M. The packing of pairs by quadruples. 92f:05031 

Buskens, R. W. see Stanton, Ralph Gordon, 92g:05062 and 92i:05076 

de Caen, D. (with Kreher, Donald L.; Radziszowski, Stanislaw P.; Mills, W. H.) On the 
covering of t-sets with (¢ + 1)-sets: C(9, 5,4) and C(10, 6,5). 92j:05046 

Gardner, Ben Some small packing numbers. 92c:05043 

Gewali, Laxmi P. (with Ntafos, Simeon) Covering orthogonal polygons by horizontal 
guards. 92h:05032 

Horton, J.D. see Mullin, Ronald C.; et al., 92d:05043 

Jepsen, Charles H. Packing a box with bricks. 

Kocay, William see Stanton, Ralph Gordon, 92j:05047 

Kreher, Donald L. see de Caen, D.; et al., 92j:05046 

Lindner, C.C. (with Mendelsohn, Eric; Rodger, C. A.) The intersection problem for 
minimum coverings of K,, by triples. 92k:05039 

Lubiw, Anna A weighted min-max relation for intervals. 92k:05040 

Mendelsohn, Eric see Lindner, C. C.; et al., 92k:05039 

Mills, W. H. The covering number C(11, 5, 3). 

— see also Mullin, Ronald C.; et al., 92d:05043 and de Caen, D.; et al., 92j:05046 

Morley, Michael Edgar The complements of some covering designs and questions on the 
overall significance. 92g:05061 

Mullin, Ronald C. (with Horton, J. D.; Mills, W. H.) On bicovers of pairs by quintuples: v 
odd, v #3 (mod 10). 92d:05043 

— (with Wevrick, Dan) Singular points in pair covers and their relation to Hadamard 
designs. 92k:05041 

Ntafos, Simeon see Gewali, Laxmi P., 92h:05032 

Quattrocchi, Gaetano Intersections among maximum partial triple systems. 92¢:05030 

Radziszowski, Stanistaw P. see de Caen, D.; et al., 92j:05046 

Richey, Michael B. Improved bounds for harmonic-based bin packing algorithms. 
92m:05057 

Rodger, C. A. see Lindner, C. C.; et al., 92k:05039 

Ruet d’Auteuil, E. A. see Stanton, Ralph Gordon; et al., 92c:05044; 92e:05031 and 92h:05033 

Sane, Sharad S. (with Shrikhande, M.S.) On exact minimal (1, 5)-covers of thirteen points. 
92m:05058 

Shrikhande, M.S. see Sane, Sharad S., 92m:05058 

Stanton, Ralph Gordon (with Buskens, R. W.) An upper approximation to the 
BIBD(15, 21,7, 5,2). 92g:05062 





117 1992 


— (with Buskens, R. W.) Excess graphs and bicoverings. 92i:05076 

— The geometric points of coverings. 92g:05063 

— (with Stone, D. M. F.; Ruet d’Auteuil, E. A.) A survey of the small sextuple covers. 
92c:05044 

— The nonisomorphic coverings C(2, 5, 13). 92f:05032 

— (with Kocay, William) Some small tricoverings by quintuples. 92j:05047 

— Some interesting sextuple coverings. 92c:05045 

— (with Stone, D. M. F.; Ruet d’Auteuil, E. A.) Packings in septuples. 92h:05033 

— (with Stone, D. M. F.; Ruet d’Auteuil, E. A.) Some sextuple coverings with normal points. 
92e:05031 

— Some general considerations on packings. 92m:05059 

Stone, D. M. F. see Stanton, Ralph Gordon; et al., 92c:05044; 92e:05031 and 92h:05033 

Wevrick, Dan see Mullin, Ronald C., 92k:05041 

Yin, Jian Xing On the packing of pairs by quintuples with index 2. 92d:05044 


Items with secondary classifications in 05B40 


(Bannai, Eiichi) see Conway, John Horton, 92k:11070a and 92k:11070b 

Bar, Gunter On the level-oriented two-dimensional packing with rotation of the rectangles. 
924:68058 

(Borcherds, Richard E.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Connelly, Robert Juxtapositions rigides de cercles et de sphéres. II. Juxtapositions infinies 
de mouvement fini. [Rigid circle and sphere packings. II. Infinite packings with finite 
motion] 92i:52023 

Conway, John Horton (with Sloane, Neil J. A.) * YnaxosKu mapos, pemieTKH u rpynnsi. Tom 
I. (Russian) [Sphere packings, lattices and groups. Vol. I] 92k:11070a 

— (with Sloane, Neil J. A.) * YnakosKu wiapos, pemieTKu H rpynmi. Tom II. (Russian) 
[Sphere packings, lattices and groups. Vol. II] 92k:11070b 

Damiani, E. (with D’Antona, O.; Naldi, G.; Pavarino, L.) Erratum: “Tiling bricks with 
bricks” [Stud. Appl. Math. 83 (1990), no. 2, 91-110; MR 91f:05040}. 

D’Antona, O. see Damiani, E.; et al. 

Erdés, Paul (with Hajnal, Andras; Tuza, Zsolt) Local constraints ensuring small represent- 
ing sets. 92k:05128 

Gaspar, Zsolt see Tarnai, Tibor, 92h:52020 

Gonzalez, Teofilo F. Covering a set of points in multidimensional space. 92k:68093 

Hajnal, Andras see Erdés, Paul; et al., 92k:05128 

Kooshesh, Ali A. (with Moret, Bernard M. E.; Székely, L. A.) Improved bounds for the 
prison yard problem. 92k:52037 

(Leech, John) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Litsyn, S.N.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Lizzio, Angelo (with Milici, Salvatore; Quattrocchi, Gaetano) On a decomposition of 2K,,. 
92:05077 

(Manin, Yu. I.) see Conway, John Horton, 92k:11070a 

Milici, Salvatore see Lizzio, Angelo; et al., 92f:05077 

Moret, Bernard M. E. see Kooshesh, Ali A.; et al., 92k:52037 

Naldi, G. see Damiani, E.; et al. 

(Norton, Simon P.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Odlyzko, Andrew M.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Parker, Richard A.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Pavarino, L. see Damiani, E.; et al. 

Prodinger, Helmut Einige Kommentare zu einer bin-packing Aufgabe von W. Knédel. (En- 
glish summary) [Some comments on a bin-packing problem of W. Knédel] 92m:68089 

Quattrocchi, Gaetano see Lizzio, Angeio; et al., 92f:05077 

(Queen, L.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Roberts, Fred S. see de Werra, D., 92e:05090 

Schramm, Oded Existence and uniqueness of packings with specified combinatorics. 
92k:52039 

(Shabat, G. B.) see Conway, John Horton, 92k:11070a 

Sloane, Neil J. A. see Conway, John Horton, 92k:11070a and 92k:11070b 

Székely, L. A. see Kooshesh, Ali A.; et al., 92k:52037 

Tarnai, Tibor (with Gaspar, Zsolt) Covering a sphere by equal circles, and the rigidity of its 
graph. 92h:52020 

(Tsfasman, M. A.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Tuza, Zsolt see Erdés, Paul; et al., 92k:05128 

(Venkov, B. B.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Vladut, Sergei G.) see Conway, John Horton, 92k:11070b 

de Werra, D. (with Roberts, Fred S.) On the use of augmenting chains in chain packings. 
92e:05090 

(Yakovlev, N. N.) see Conway, John Horton, 92k:11070b 


05B45 _ Tessellation and tiling problems [see also 52C20, 52C22] 


Damiani, E. (with D’Antona, O.; Naldi, G.; Pavarino, L.) Erratum: “Tiling bricks with 
bricks” [Stud. Appl. Math. 83 (1990), no. 2, 91-110; MR 91f:05040}. 

D’Antona, O. see Damiani, E.; et al. 

Naldi, G. see Damiani, E.; et al. 

Pavarino, L. see Damiani, E.; et al. 


Items with secondary classifications in 05B45 

Clivio, A. Algorithmic aspects of Z[x1,---,Xn] with applications to tiling problems. 
92j:13024 

— Tilings of a torus with rectangular boxes. 92h:52023 

Feiste, Uwe see Flachsmeyer, Jigen; et al., 92m:52045 

Flachsmeyer, Jiirgen (with Feiste, Uwe; Manteuffel, Karl) * Mathematik und ornamentale 
Kunstformen. (German) [Mathematics and ornamental art forms] 92m:52045 

Fontaine, Anne An infinite number of plane figures with Heesch number two. 92a:52027 

Harborth, Heiko Concentric cycles in mosaic graphs. 92g:51019 

Hoskins, J. A. (with Thomas, R. S. D.) The patterns of the isonemal two-colour two-way 
two-fold fabrics. 92h:52024 

Manteuffel, Karl see Flachsmeyer, Jirgen; et al., 92m:52045 

Roth, Richard L. Some 2-isohedral tilings of the plane. 92g:52021 


05C Graph theory 


— The classification of bipatterns in the plane. 92m:52048 

Schmitt, Peter An aperiodic triple of prototiles. 92a:52028 

Soardi, Paolo M. Recurrence and transience of the edge graph of a tiling of the Euclidean 
plane. 92b:52044 

Thomas, R.S. D. see Hoskins, J. A., 92h:52024 

Versmissen, Koen Monohedral periodic tilings of the plane with any number of aspects. 
92k:52042 

Walther, G. Experimental mathematics—tesselations of convex polygons in a hexagonal 
lattice. 92a:52030 


05B50 Polyominoes 


Harborth, Heike (with Lohmann, Sabine) Mosaic numbers of Fibonacci trees. 92j:05048 
— (with Weiss, Hartmut) Minimum sets of partial polyominoes. 92g:05064 

Lohmann, Sabine see Harborth, Heiko, 92j:05048 

Weiss, Hartmut see Harborth, Heiko, 92g:05064 


Items with secondary classifications in 05B50 

Girault-Beauquier, Daniele (with Nivat, M.) On translating one polyomino to tile the plane. 
92i:52025 

Janse van Rensburg, E. J. The topology of interfaces. 92¢:82038 

Nivat, M. see Girault-Beauquier, Daniele, 92i:52025 


05B99 None of the above, but in this section 


Bermond, Jean-Claude (with Bond, J.) Combinatorial designs and hypergraphs of diameter 
one. 92f:05033 

Bond, J. see Bermond, Jean-Claude, 92f:05033 

Kader Batcha, K.M. A. Homothetic copies of an n-hedron in a combinatorial geometry. 

Lauchli, Peter Selbstreproduzierende Muster. (English summary) [Self-reproducing 
patterns] 92j:05049 

Le, Mao Hua (with Li, Wei Xuan; Wang, Edward T. H.) A generalization of the n-queen 
problem. 92k:05042 

Li, Wei Xuan see Le, Mao Hua; et al., 92k:05042 

Shor, Peter W. Stretchability of pseudolines is NP-hard. 92g:05065 

Skinner, Jasper Dale, II Uniquely squared squares of a common reduced side and order. 
92h:05034 

Ullman, Daniel Matching finite subsets of lattices in the plane. 92h:05035 

Wang, Edward T. H. see Le, Mao Hua; et al., 92k:05042 

Webb, William A. A combinatorial algorithm to establish a fair border. 92a:05037 





Items with secondary classifications in 05B99 

Bauch, Hans F. Magische Figuren in Parketten. [Magical figures in parquets] 92c:52032 

Fischer, Thomas R. M. Cell complexes and lower bounds in computational geometry. 
92b:52031 

Kiihnel, Wolfgang Triangulations of manifolds with few vertices. 92k:57043 

Melter, Robert A. A survey of digital metrics. 92k:51023 

Tallini, G. General multivalued algebraic structures and geometric spaces. 92j:51003 


05Cxx Graph theory {For applications of graphs, see 
68Q90, 68R10, 90C35, 94C15.} 


Clark, John (with Holton, Derek Allan) * A first look at graph theory. 92i:05077 

Diestel, Reinhard * Graph decompositions. 92a:05038 

Holton, Derek Allan see Clark, John, 92i:05077 

Jungnickel, Dieter * Graphen, Netzwerke und Algorithmen. (German) [Graphs, networks 
and algorithms] 92d:05045 


Items with secondary classifications in 05Cxx 

(Bodendiek, Rainer) see Contemporary methods in graph theory, 92d:05003 

Knyazeva, L. V. see Timkovskii, V. G. 

Timkovskii, V.G. (with Knyazeva, L. V.) Solvable, polynomial and NP-complete cases of a 
problem on an isotonic bipartite graph. (Russian. English summary) 

(Wagner, Klaus') see Contemporary methods in graph theory, 92d:05003 


Items listed otherwise than by author 


Contemporary methods in graph theory * Contemporary methods in graph theory. 
92d:05003 


05C05 Trees 


Aldred, R. E. L. (with Jackson, Bill; Lou, Ding Jun; Saito, Akira) Partitioning regular 
graphs into equicardinal linear forests. 924:05046 

Berenstein, Carlos A. (with Casadio Tarabusi, Enrico; Cohen, Joel M.; Picardello, Massimo 
A.) Integral geometry on trees. 92g:05066 

Bergeron, Francois (with Labelle, Gilbert; Leroux, P.) Computation of the expected 
number of leaves in a tree having a given automorphism, and related topics. 92h:05036 

Bienstock, Daniel (with Robertson, Neil; Seymour, P. D.; Thomas, Robin) Quickly 
excluding a forest. 92f:05034 

Campbell, Douglas M. (with Radford, David) Tree isomorphism algorithms: speed vs. 
clarity. 92g:05067 

Cao, Zhen Fu Some new classes of integral trees with diameter 5 or 6. (Chinese. English 
summary) 92f:05035 

Casadio Tarabusi, Enrico see Berenstein, Carlos A.; et al., 92g:05066 

Chang, K. see Motzkin, D.; et al., 92h:05038 

Chaudhary, Sharad (with Gordon, Gary) Tutte polynomials for trees. 92g:05068 

Cieslik, Dietmar Knotengrade kiirzester Baume in endlich-dimensionalen Banachraumen. 
[Degrees of nodes of shortest trees in finite-dimensional Banach spaces] 92a:05039 

Cohen, Joel M. see Berenstein, Carlos A.; et al., 92g:05066 





05C05 


Drmota, Michael On generalized Fibonacci numbers of graphs. 92e:05032 

— (with Kirschenhofer, Peter) On generalized independent subsets of trees. 92c:05046 

Du, Ding Zhu (with Hwang, Frank K.) A proof of the Gilbert-Pollak conjecture on the 
Steiner ratio. 92m:05060 

— see also Liu, Zi Cheng, 92j:05054 and Hwang, Frank K., 92m:05061 

Fellows, Michael R. (with Hoover, Mark N.) Perfect domination. 92e:05033 

Gordon, Gary see Chaudhary, Sharad, 92g:05068 

Havel, Ivan On certain trees in hypercubes. 92j:05050 

Hoover, Mark N. see Fellows, Michael R., 92e:05033 

Hwang, Frank K. (with Du, Ding Zhu) Steiner minimal trees on Chinese checkezboards. 
92m:05061 

— see also Du, Ding Zhu, 92m:05060 

Jackson, Bill see Aldred, R. E. L.; et al., 924:05046 

Jamison, Beverly (with Olariu, Stephan) A tree representation for P,-sparse graphs. 
92)j:05051 

Johnsen, Ben Generating binary trees with uniform probability. 92b:05024 

Kemp, Rainer Further results on leftist trees. 92e:05034 

Kirschenhofer, Peter see Drmota, Michael, 92c:05046 

Kleitman, Daniel J. (with West, Douglas B.) Spanning trees with many leaves. 92b:05025 

Krasikov, I. (with Roditty, Y.) A Las Vergnas type theorem for trees. 92h:05037 

— On a tree-cutting problem of P. Ash. 92j:05052 

— Interchanging branches and similarity in a tree. 92g:05069 

Kreweras, Germain (with Moszkowski, P.) Tree codes that preserve increases and degree 
sequences. 92b:05026 

Kriz, Igor (with Thomas, Robin) The Menger-like property of the tree-width of infinite 
graphs. 92c:05047 

Labelle, Gilbert see Bergeron, Francois; et al., 92h:05036 

Leroux, P. see Bergeron, Francois; et al., 92h:05036 

Liu, Jia Zhuang Representations of trees by sequences of integers and their applications. 
92i:05078 

Liu, Jiu Qiang (with Schwenk, Allen J.) The number of multicolored trees in acyclic 
multiclique decompositions. 92j:05053 

Liu, Zi Cheng (with Du, Ding Zhu) On Steiner minimal trees with L, distance. 92j:05054 

Lou, Ding Jun see Aldred, R. E. L.; et al., 92d:05046 

Meir, Amram (with Moon, J. W.) On the branch-sizes of rooted unlabeled trees. 92c:05048 

Moon, J. W. see Meir, Amram, 92c:05048 

Moszkowski, P. see Kreweras, Germain, 92b:05026 

Motzkin, D. (with Vaccaro, C.; Chang, K.) Multi-B-trees and their applications. 92h:05038 

Neumann Lara, Victor (with Rivera~Campo, Eduardo) Spanning trees with bounded 
degrees. 92d:05047 

Nezhentsev, Yu. I. Representation of homogeneous trees of the second rank in arithmetic 
graphs. (Russian. English summary) 

Olariu, Stephan see Jamison, Beverly, 92j:05051 

Picardello, Massimo A. see Berenstein, Carlos A.; et al., 92g:05066 

Polat, Norbert Spanning trees of infinite graphs. 92a:05040 

Provan, J. Scott Two new criteria for finding Steiner hulls in Steiner tree problems. 
92i:05079 

Radford, David see Campbell, Douglas M., 92g:05067 

Rivera-Campo, Eduardo see Neumann Lara, Victor, 92d:05047 

Robertson, Neil see Bienstock, Daniel; et al., 92f:05034 

Roditty, Y. see Krasikov, I., 92h:05037 

Rubinstein, J. H. (with Thomas, D. A.) The Steiner ratio conjecture for cocircular points. 
92m:05062 

Sabidussi, Gert Dendroids, end-separators, and almost circuit-connected trees. 92c:05049 

Saito, Akira see Aldred, R. E. L.; et al., 92d:05046 

Schrijver, Alexander (with Seymour, P. D.) Spanning trees of different weights. 92d:05048 

Schwenk, Allen J. see Liu, Jiu Qiang, 92j:05053 

Seager, Suzanne Niche graph properties of trees. 92j:05055 

Seymour, P. D. (with Thomas, Robin) An end-faithful spanning tree counterexample. 
92c:05050 


— see also Schrijver, Alexander, 924:05048 and Bienstock, Daniel; et al., 92f:05034 

Simion, Rodica Trees with 1-factors and oriented trees. 92b:05027 

Sirdit, Jozef End-faithful forests and spanning trees in infinite graphs. 92m:05063 

Sjogren, Jon A. Cycles and spanning trees. 92h:05039 

Thomas, D. A. see Rubinstein, J. H., 92m:05062 

Thomas, Robin A Menger-like property of tree-width: the finite case. 92a:05041 

— see also Kriz, Igor, 92c:05047; Seymour, P. D., 92c:05050 and Bienstock, Daniel; et al., 
92£:05034 

Thomassen, Carsten Infinite connected graphs with no end-preserving spanning trees. 
92k:05043 

Vaccaro, C. see Motzkin, D.; et al., 92h:05038 

Wang, Jian Fang see Zhang, Zhong Fu; et al., 92g:05070 

Wang, Xiao Ji New results on the costs of Huffman trees. 92j:05056 

West, Douglas B. see Kleitman, Daniel J., 92b:05025 

Wilf, Herbert S. (with Yoshimura, Nancy A.) Ranking rooted trees, and a graceful 
application. 924:05049 


Xa, Ji Chao Some extensions of Chartrand’s problem. (Chinese) 92j:05057 

Yoshimura, Nancy A. see Wilf, Herbert S., 92d:05049 

Zhang, Zhong Fu (with Wang, Jian Fang) Point arboricity of graphs. (Chinese. English 
summary) 92g:05070 

Zito, Jennifer The structure and maximum number of maximum independent sets in trees. 
92h:05040 


Items with secondary classifications in 05C05 

Abrham, Jaromir (with Kotzig, Anton) Existence theorems for nonseparable a-valuations 
of snakes. 92k:05110 

Agarwal, Pankaj Kumar (with Shing, Man-Tak) Algorithms for special cases of rectilinear 
Steiner trees. I. Points on the boundary of a rectilinear rectangle. 92¢:05143 

Aissen, Michael (with Shay, Brian) Numerical codes for operation trees. 92d:05162 

Alavi, Yousef (with Lick, Don R.; McKee, Terry A.) Highly irregular multitrees. 92m:05095 


COMBINATORICS 


1992 118 


— (with Green, David, Jr.; Liu, Jiu Qiang; Wang, Jian Fang) On linear vertex-arboricity of 
graphs. 92j:05095 

Alon, Noga The number of spanning trees in regular graphs. 92j:05092 

Antonets, M. A. (with Shereshevskii, I. A.) A model of the growth of trees. (Russian) 

Aomoto, Kazuhiko Selfadjointness and limit pointness for adjacency operators on a tree. 
92a:47041 

— Point spectrum on a quasihomogeneous tree. 92g:47042 

Barthélémy, Jean-Pierre (with McMorris, F. R.; Powers, Robert C.) Independence 
conditions for consensus n-trees revisited. Correction to: “On an independence condition 
for consensus n-trees” [Appl. Math. Lett. 2 (1989), no. 1, 75-78; MR 90a:92071]. 
92g:92032 

Basart, J. M. Some upper bounds for minimal trees. 92i:68119 

Beck, Christian Higher correlation functions of chaotic dynamical systems—a graph 
theoretical approach. 92i:58115 

Benadé, Gerhard (with Goddard, Wayne D.; McKee, Terry A.; Winter, Paul A.) On 
distances between isomorphism classes of graphs. (Czech summary) 92g:05173 

Borodin, O. V. (with Dmitriev, I.G.) Characterization of chromatically rigid polynomials. 
(Russian) 92g:05088 

Brigham, Robert C. (with Dutton, Ronald D.; Harary, Frank; Haynes, Teresa W.) Charac- 
terization of the caterpillars obtained from a unique animal. 92i:05168 

Brightwell, Graham R. (with Winkler, Peter M.) Extremal cover times for random walks on 
trees. 92b:60059 

Brummelhuis, M. J. A. M. (with Kuijf, H.) Enumeration of externally labelled trees. 
92g:81132 

Buckley, Fred (with Palka, Zbigniew) Property preserving spanning trees in random graphs. 
924:05144 

Caccetta, L. (with Purwanto) Deficiencies and vertex clique covering numbers of a family 
of trees. 92f:05051 

Cao, Ru Cheng Enumeration of identity rooted trees and identity trees with given numbers 
of leaves. (Chinese. English summary) 92a:05008 

Catlin, Paul A. (with Chen, Zhi-Hong) The arboricity of the random graph. 92k:05115 

Chan, Clara Plane trees and H-vectors of shellable cubical complexes. 92k:05134 

Chen, Zhi-Hong see Catlin, Paul A., 92k:05115 

Chlebus, Bogdan S. (with Vito, Imrich) Unifying binary-search trees and permutations. 
(see 92g:68007) 

Chung, Fan R. K. Separator theorems and their applications. 92d:05152 

Cockayne, E. J. (with MacGillivray, Gary; Mynhardt, C. M.) A linear algorithm for 
universal minimal dominating functions in trees. 92j:05165 

Comer, Stephen D. Weakly regular trees and their color algebras. 92b:06010 

Devroye, Luc On the height of random m-ary search trees. 92k:68018 

— Limit laws for local counters in random binary search trees. 92g:68038 

Ding, Ke Quan An algorithm for minimal number-grouped partitions of random permuta- 
tions. (Chinese summary) 924:05153 

Dmitriev, I. G. see Borodin, O. V., 92g:05088 

Du, Ding Zhu On Steiner ratio conjectures. 92m:90053 

Dutton, Ronald D. see Brigham, Robert C.; et al., 92i1:05168 

Eades, Peter Drawing free trees. 92m:05179 

Favaron, O. (with Mahéo, M.; Saclé, J. F.) On the residue of a graph. 92d:05073 

Fischetti, Matteo Facets of two Steiner arborescence polyhedra. 92i:90083 

Furuyama, Masao Two approaches for the estimate of the length of minimum spanning 
trees. 92d:05146 

Gndoyan, A. K. (with Trubin, V. A.) Some classes of problems of the location of trees on a 
chain. (Russian. English and Ukrainian summaries) 92f:68133 

Goddard, Wayne D. see Benadé, Gerhard; et al., 92g:05173 

Granot, Daniel (with Skorin-Kapov, Darko) NC algorithms for recognizing partial 2-trees 
and 3-trees. 92d:05154 

Green, David, Jr. see Alavi, Yousef; et al., 92j:05095 

Grone, Robert (with Merris, Russell) Ordering trees by algebraic connectivity. 92a:05086 

Griinwald, Norbert Optimal edge-numbering of binary trees. 92c:05132 

Guo, Xiao Feng see Zhang, Fu Ji, 92k:92028 

Gusfield, Dan (with Naor, Dalit) Efficient algorithms for generalized cut-trees. 92f:68135 

— Computing the strength of a graph. 92¢:05070 

Haggkvist, Roland (with Thomason, Andrew) Trees in tournaments. 92h:05060 

Halin, Rudolf Fixed configurations in graphs with small number of disjoint rays. 92h:05067 

Harary, Frank (with Maddox, Randall; Staton, William) On the point linear arboricity of a 
graph. 92i:05157 

— see also Brigham, Robert C.; et al., 92i1:05168 

Haynes, Teresa W. see Brigham, Robert C.; et al., 92i:05168 

Hendy, Michael D. A combinatorial description of the closest tree algorithm for finding 
evolutionary trees. 92k:92013 

Heuter, Uschi First-order properties of trees, star-free expressions, and aperiodicity. 
(French summary) 92g:03062 

Hu, Te Chiang (with Kahng, A. B.) Every tree is graceful (but some are more graceful than 
others). 92¢:05097 

Hwang, Frank K. (with Richards, Dana S.) Steiner tree problems. 92k:90041 

Hyttinen, Tapani (with Vaananen, Jouko) On Scott and Karp trees of uncountable models. 
92j:03034 

Jamison, Beverly (with Olariu, Stephan) On a unique tree representation for P,-extendible 
graphs. 92k:05103 

Johns, Garry L. (with Lee, Tai Chi) S-distance in trees. 92j:68097 

Kahng, A. B. see Hu, Te Chiang, 92¢:05097 

Korson, Timothy D. see Vaishnavi, Vijay K., 92g:68029 

Kotzig, Anton see Abrham, Jaromir, 92k:05110 

Kountanis, Dionisios see Kubicka, Ewa; et al., (92h:68004) 

Kreweras, Germain Sur les polynémes de Catalan simples et doubles. (English summary) 
[On simple and double Catalan polynomials] 92i:05012 

Kubicka, Ewa Constraints on the chromatic sequence for trees and graphs. 92h:05057 

— (with Kubicki, Grzegorz; Kountanis, Dionisios) Approximation algorithms for the 
chromatic sum. (see 92h:68004) 

Kubicki, Grzegorz see Kubicka, Ewa; et al., (92h:68004) 





119 1992 


Kuijf, H. see Bruammelhuis, M. J. A. M., 92g:81132 

Lee, Tai Chi see Johns, Garry L., 92j:68097 

Leiss, Ernst L. (with Reddy, Hari N.) Embedding complete binary trees into hypercubes. 
92i:68126 

Lick, Don R. see Alavi, Yousef; et al., 92m:05095 

Lim, Chjan C. Binary trees, symplectic matrices and the Jacobi coordinates of celestial 
mechanics. 92f:70016 

Lin, Guo Ning see Zhang, Fu Ji, 92c:05075 

Lin, Yang-Tsong (with Zheng, Si-Qing) A linear-time algorithm for constructing minimum 
height B-trees. 92k:05120 

Liu, Jiu Qiang see Alavi, Yousef; et al., 92j:05095 

Longyear, Judith Q. Graphs and permutations. 92d:05007 

Lowe, Timothy J. see Tamir, Arie 

MacGillivray, Gary see Cockayne, E. J.; et al., 92j:05165 

Maddox, Randall see Harary, Frank; et al., 92i:05157 

Mahéo, M. see Favaron, O.; et al., 924:05073 

Masuyama, Shigeru On the tree packing problem. 92h:05127 

McHugh, James (with Perl, Yehoshua) Best location of service centers in a treelike network 
under budget constraints. 92a:90025 

McKee, Terry A. see Benadé, Gerhard; et al., 92g:05173 and Alavi, Yousef; et al., 92m:05095 

McMorris, F.R. see Barthélémy, Jean-Pierre; et al., 92g:92032 

Merris, Russell Almost all trees are co-immanantal. 92g:05131 

— see also Grone, Robert, 922:05086 

Mynhardt, C. M. see Cockayne, E. J.; et al., 92j:05165 

Naor, Dalit see Gusfield, Dan, 92f:68135 

Nydl, V. A note on reconstructing of finite trees from small subtrees. 92c:05111 

Olariu, Stephan see Jamison, Beverly, 92k:05103 

Palka, Zbigniew see Buckley, Fred, 92d:05144 

Panyukov, A. V. (with Pel'tsverger, B. V.) Polynomial algorithms to finite Veber [Weber] 
problem for a tree network. 92g:90087 

Pel'tsverger, B. V. see Panyukov, A. V., 92g:90087 

Pemantle, Robin Choosing a spanning tree for the integer lattice uniformly. 92g:60014 

Perl, Yehoshua see McHugh, James, 92a:90025 

Pittel, Boris On tree census and the giant component in sparse random graphs. 92f:05087 

Powers, Robert C. see Barthélémy, Jean-Pierre; et al., 92g:92032 

Purwanto see Caccetta, L., 92f:05051 

Rall, Douglas F. Dominating a graph and its complement. 92g:05113 

Ramos Dominguez, Maria Teresa see Sicilia Rodriguez, J.; et al., 92g:90074 

Ramos Dominguez, Rosa Maria see Sicilia Rodriguez, J.; et al., 92g:90074 

Ramras, Mark Symmetric vertex partitions of hypercubes by isometric trees. 92m:05152 

Reddy, Hari N. see Leiss, Ernst L., 92i:68126 

Renteria, Carlos (with Tapia-Recillas, Horacio) A note on perfect matchings. 92j:05142 

Richards, Dana S. (with Salowe, Jeffrey S.) A simple proof of Hwang’s theorem for 
rectilinear Steiner minimal trees. 92k:90033 

— (with Salowe, Jeffrey S.) A linear-time algorithm to construct a rectilinear Steiner 
minimal tree for k-extremal point sets. 92i:05208 

— see also Hwang, Frank K., 92k:90041 

Richter, R. Bruce Nonplanar graphs and well-covered cycles. 92d:05056 

Robertson, Neil (with Seymour, P. D.; Thomas, Robin) Excluding subdivisions of infinite 
cliques. 92j:05158 

Rosenfeld, Moshe On spanning trees of planar graphs. 92h:05047 

Saclé, J. F. see Favaron, O.; et al., 92d:05073 

Salowe, Jeffrey S. see Richards, Dana S., 92i:05208 and 92k:90033 

Scorzoni, Roberto An algebraic characterization of trees and cycles. 92h:05115 

Seymour, P. D. see Robertson, Neil; et al., 92j:05158 

Shay, Brian see Aissen, Michael, 92d:05162 

Shereshevskii, I. A. see Antonets, M. A. 

Shing, Man-Tak see Agarwal, Pankaj Kumar, 92c:05143 

Sicilia Rodriguez, J. (with Ramos Dominguez, Maria Teresa; Ramos Dominguez, Rosa 
Maria) Determination of spanning trees in networks whose arcs have random double 
weight. (Spanish. English summary) 92g:90074 

Silla, A. see Zverovich, I. E., 92e:05095 

Skorin-Kapov, Darko see Granot, Daniel, 92d:05154 

Staton, William see Harary, Frank; et al., 92i:05157 

Sun, Chao Yi see Wang, Zhen Yu’; et al., 92c:05013 

Tamir, Arie (with Lowe, Timothy J.) The generalized P-forest problem on a tree network. 

Tapia-Recillas, Horacio see Renteria, Carlos, 92j:05142 

Thomas, Robin see Robertson, Neil; et al., 92j:05158 

Thomason, Andrew see Haggkvist, Roland, 92h:05060 

Topp, Jerzy (with Volkmann, Lutz) A generalization of Menger’s theorem for trees. 
92:05060 

— (with Volkmann, Lutz) On packing and covering numbers of graphs. 92h:05102 

Trubin, V. A. Network uniformity deficit and its reduction. (Russian) 92g:05114 

— see also Gndoyan, A. K., 92£:68133 

Turner, John Christopher Three number trees—their growth rules and related number 
properties. 92g:11019 

Tvrdik, Pavel On Hamiltonian circuits, paths, and spanning trees of hypercubes. (see 
924:65250) 

Tyurin, V. LL. Reconstruction of a colored tree from the set of charts of peripheral vertices. 
(Russian. English summary) 92j:05129 

Vaaninen, Jouko see Hyttinen, Tapani, 92j:03034 

Vaishnavi, Vijay K. (with Korson, Timothy D.) Height-analysis of k-dimensional leaf and 
node height-balanced trees: a new approach. 92g:68029 

Vaughan, Theresa P. Bounds for the rank of a permutation on a tree. 92k:05060 

Volkmann, Lutz see Topp, Jerzy, 92f:05060 and 92h:05102 

Vito, Imrich see Chlebus, Bogdan S., (92g:68007) 

Wang, Jian Fang see Alavi, Yousef; et al., 92j:05095 

Wang, Zhen Yu! (with Sun, Chao Yi) More on additive enumeration problems over trees. 
92c:05013 


05C Graph theory 


05C10 


Waxman, Bernard M. Can Steiner tree approximation algorithms do better than two? 
92j:05170 

Winkler, Peter M. see Brightwell, Graham R., 92b:60059 

Winter, Paul A. see Benadé, Gerhard; et al., 92g:05173 

Zelinka, Bohdan Distances between rooted trees. (Czech summary) 92e:05061 

Zhang, Fu Ji (with Lin, Guo Ning) The complexities of digraphs. 92c:05075 

— (with Guo, Xiao Feng) Directed tree structure of the set of Kekulé patterns of generalized 
polyhex graphs. 92k:92028 

Zhao, Shi Lin All trees of diameter four are graceful. 92e:05101 

Zheng, Si-Qing see Lin, Yang-Tsong, 92k:05120 

Zverovich, I. E. (with Silla, A.) P-unigraphness in certain classes of graphs. (Russian) 
92¢:05095 


05C10 Topological graph theory, imbedding [see also 57M15, 
57M25] 


Abello, James (with Fellows, Michael R.; Stillwell, John C.) On the complexity and 
combinatorics of covering finite complexes. 92g:05071 

Alavi, Yousef (with Behzad, M.; Simpson, James E.) Planarity of double vertex graphs. 
92i:05080 

Alekseev, V. B. (with Korzhik, V. P.) Embeddings of graphs in a surface and the theory of 
flow graphs. (Russian) 92d:05050 

Al-Hakim, Latif A. see Eggleton, Roger B., 92g:05074 and 92h:05042 

Archdeacon, Dan S. (with Huneke, John P.) Relative irreducibility. 92g:05072 

— (with Richter, R. Bruce) The construction and classification of self-dual spherical 
polyhedra. 92j:05058 

Babai, Laszl6 Vertex-transitive graphs and vertex-transitive maps. 92m:05064 

Baumslag, Mare (with Heydemann, M.-C.; Opatrny, J.; Sotteau, D.) Embeddings of shuffle- 
like graphs in hypercubes. (see 92b:68012) 

Behzad, M. see Alavi, Yousef; et al., 92i:05080 

Bienstock, Daniel Some provably hard crossing number problems. 92i:05081 

Bodendiek, Rainer (with Wagner, Klaus') On the minimal basis of the spindle-surface 6}. 
924:05051 

— (with Gvozdjak, P.; Siri, Jozef) On minimal graphs for bananas surface B>. 92g:05073 

— (with Wagner, Klaus') On the problem of relative components of minimal graphs. 
924:05052 

Borodin, O. V. Diagonal transforming triangulations of orientable surfaces. 92j:05059 

— A structural property of planar graphs and the simultaneous colouring of their edges and 
faces. (Russian summary) 92e:05035 

— (with Mayer, Jean) Decomposition of K,; into a torus graph and a graph imbedded in the 
Klein bottle. 

Bowers, Philip L. The Borsuk dimension of a graph and Borsuk’s partition conjecture for 
finite sets. 92b:05028 

Brehm, U. Polyhedral maps with few edges. 92c:05051 

Chartrand, Gary (with Hevia, Héctor; Jarrett, Elzbieta B.) Planarity of double-rotation 
graphs. 92h:05041 

— (with Hevia, Héctor; Jarrett, Elzbieta B.; Saba, Farrokh; Vanderjagt, Donald W.) 
Subgraph distance and generalized line graphs. 92m:05065 

— (with Gavias, Heather Jordon; Schultz, Michelle) Framed! A graph embedding problem. 
92i:05082 

Christopher, Peter R. see Servatius, Brigitte, 92k:05047 

Cvetkovié, Drago’ M. (with Jovanovié, Antonije; Radosavijevi¢, Zoran; Simi¢, Slobodan) 
Coplanar graphs. 92m:05066 

Peter Distances in cocomparability graphs and their powers. 92m:05067 

Dolbilin, N. P. (with Shtan‘ko, M. A.; Shtogrin, M. I.) Combinatorial problems in the two- 
dimensional Ising model. (Russian) 92i:05083 

Eggleton, Roger B. (with Al-Hakim, Latif A.; MacDougall, James) Braced edges in plane 
triangulations. 92h:05042 

— (with Al-Hakim, Latif A.) Maximal planar graphs and diagonal operations. 92g:05074 

Fellows, Michael R. (with Kaschube, Paul A.) Searching for K3,; in linear time. 92i:05084 

— see also Abello, James; et al., 92g:05071 

Flapan, Erica (with Weaver, Nikolai) Intrinsic chirality of complete graphs. 92j:05060 

Frank, Andrés On disjoint homotopic paths in the plane. 924:05053 

— Packing paths in planar graphs. 92m:05068 

Gavlas, Heather Jordon see Chartrand, Gary; et al., 92i:05082 

Gross, Jonathan L. (with Rieper, Robert G.) Local extrema in genus-stratified graphs. 
92g:05075 

Guy, Richard K. (with Nowakowski, Richard J.) The outerthickness & outercoarseness of 
graphs. II. The complete bipartite graph. 92k:05044b 

— (with Nowakowski, Richard J.) The outerthickness & outercoarseness of graphs. I. The 
complete graph & the n-cube. 92k:05044a 

Gvozdjak, P. see Bodendiek, Rainer; et al., 92g:05073 

Haglin, David J. see McCuaig, William D.; et al., 92f:05037 

Halton, John H. On the thickness of graphs of given degree. 92b:05029 

Harant, Jochen (with Walther, Hansjoachim) On the circumference of regular polyhedral 
graphs. 92c:05052 

Harary, Frank (with Lewinter, Martin) Spanning subgraphs of a hypercube. V. Spanned 
subcubes. (see 92b:05001) 

Harborth, Heiko (with Kemnitz, Arnfried) Integral representations of graphs. 92g:05076 

— (with Mengersen, Ingrid) Edges with at most one crossing in drawings of the complete 
graph. 92¢:05036 

Hartman, I. Ben-Arroyo (with Newman, Ilan; Ziv, Ran) On grid intersection graphs. 
92a:05042 

Hartsfield, Nora (with Ringel, Gerhard) Clean triangulations. 92j:05061 

Hartvigsen, David (with Mardon, Russell) The prism-free planar graphs and their cycles 
bases. 92h:05043 

Heath, Jo (with Hilton, Anthony J. W.) Exactly k-to-l1 maps between graphs. 92h:05044 

Hevia, Héctor see Chartrand, Gary; et al., 92h:05041 and 92m:05065 

Heydemann, M.-C. see Baumslag, Marc; et al., (92b:68012) 





05C10 


Hilton, Anthony J. W. see Heath, Jo, 92h:05044 

Huneke, John P. see Archdeacon, Dan S., 92g:05072 

Imrich, Wilfried Embedding graphs into Cartesian products. 92j:05062 

Jaeger, Francois Even subgraph expansions for the flow polynomial of cubic plane maps. 
92e:05037 

Jarrett, Elzbieta B. see Chartrand, Gary; et al., 92h:05041 and 92m:05065 

Jongen, Hubertus Th. (with Jonker, P.; Twilt, F.) On the classification of plane graphs 
representing structurally stable rational Newton flows. 92f:05036 

Jonker, P. see Jongen, Hubertus Th.; et al., 92:05036 

Jovanovi¢, Antonije see Cvetkovi¢, Dragos M.; et al., 92m:05066 

Kajitani, Yoji (with Takahashi, Toshihiko) Minimum rectilinear drawing of a graph whose 
vertices are fixed on a plane. 92h:05045 

Kang, Tai (with Sun, Shi Xin) The matrix equation method for graceful embeddings of Ky 
in Q,. (Chinese) 92g:05077 

Kapenga, Dennis see Kapenga, J. A., 92g:05078 

Kapenga, J. A. (with Kapenga, Dennis) Searching for good mappings into hypercubes. 
92g:05078 

Kaschube, Paul A. see Fellows, Michael R., 92i:05084 

Kemnitz, Arnfried Integral drawings of the complete graph Ks. 92g:05079 

— see also Harborth, Heiko, 92g:05076 

Khomenko, N. P. (with Leshchenko, V.G.) Planarity of coverings of graphs. (Russian) 
92i:05085 

Kitakubo, Shigeru Bounding the number of embeddings of 5-connected projective-planar 
graphs. 924:05054 

— Planar branched coverings of graphs. 92d:05055 

Kle3t, Marian On the crossing numbers of Cartesian products of stars and paths or cycles. 
92h:05046 

Kochol, Martin Linear jump of crossing number for non-Kuratowski edge of a graph. 
(Serbo-Croatian summary) 92m:05069 

Komjath, Péter (with Pach, Janos) Universal elements and the complexity of certain classes 
of infinite graphs. 92m:05070 

Korzhik, V. P. see Alekseev, V. B., 92d:05050 

Kratochvil, Jan (with Matousek, Jiti) String graphs requiring exponential representations. 
92g:05080 

Lee, Sang H. (with White, Arthur T.) Random topological graph theory. 92g:05081 

Leshchenko, V.G. see Khomenko, N. P., 92i:05085 

Lewinter, Martin see Harary, Frank, (92b:05001) 

Little, C. H.C. (with Vince, Andrew) Embedding schemes and the Jordan curve theorem. 
92a:05043 

Liu, Yan Pei (with Morgana, Aurora; Simeone, Bruno) General theoretical results on 
rectilinear embeddability of graphs. 92a:05044 

Lorimer, Peter Embeddings of symmetric graphs in surfaces. 92g:05082 

MacDougall, James see Eggleton, Roger B.; et al., 92h:05042 

Mardon, Russell see Hartvigsen, David, 92h:05043 

Matousek, Jiti see Kratochvil, Jan, 92g:05080 

Mayer, Jean see Borodin, O. V. 

McCuaig, William D. (with Haglin, David J.; Venkatesan, Shankar M.) Contractible edges 
in 4-connected maximal planar graphs. 92f:05037 

Mengersen, Ingrid Skeletons of drawings of complete n-partite graphs. 92m:05071 

— see also Harborth, Heiko, 92e:05036 

Morgana, Aurora see Liu, Yan Pei; et al., 92a:05044 

Moss, Lawrence S. Existence and nonexistence of universal graphs. 92b:05030 

Nebesky, Ladislav N>-locally connected graphs and their upper embeddability. 92j:05063 

Nedela, Roman (with Skoviera, Martin) On graphs embeddable with short faces. 92c:05053 

— (with Skoviera, Martin) Remarks on diagonalizable embeddings of graphs. (Russian 
summary) 92a:05045 

Newman, Ilan see Hartman, I. Ben-Arroyo; et al., 92a:05042 

Nowakowski, Richard J. see Guy, Richard K., 92k:05044a and 92k:05044b 

Olariu, Stephan On the homogeneous representation of interval graphs. 92a:05046 

Opatrny, J. see Baumslag, Marc; et al., (92b:68012) 

Pach, Jéros see Komjath, Péter, 92m:05070 

Peng, Yun Invariance of the homology groups of the neighborhood complex of a graph. 
(Chinese summary) 92a:05047 

Radosavijevi¢, Zoran see Cvetkovi¢, Dragos M.; et al., 92m:05066 

Richter, R. Bruce Circular nonplanar embeddings of cubic planar graphs. 92j:05064 

— Nonplanar graphs and well-covered cycles. 924:05056 

— Spanning trees, Euler tours, medial graphs, left-right paths and cycle spaces. 92b:05031 

— see also Archdeacon, Dan S., 92j:05058 

Rieper, Robert G. see Gross, Jonathan L., 92g:05075 

Ringel, Gerhard Equiareal graphs. 92g:05083 

— see also Hartsfield, Nora, 92j:05061 

Robertson, Neil (with Thomas, Robin) On the orientable genus of graphs embedded in the 
Klein bottle. 92£:05038 

Rosenfeld, Moshe On spanning trees of planar graphs. 92h:05047 

Saba, Farrokh see Chartrand, Gary; et al., 92m:05065 

Scheinerman, Edward R. A note on planar graphs and circle orders. 92k:05045 

Schrijver, Alexander Applications of polyhedral combinatorics to multicommmodity flows 
and compact surfaces. 92d:05057 

— Disjoint homotopic paths and trees in a planar graph. 92f:05039 

— Disjoint circuits of prescribed homotopies in a graph on a compact surface. 92a:05048 

— Decomposition of graphs on surfaces and a homotopic circulation theorem. 924:05058 

Schultz, Michelle see Chartrand, Gary; et al., 92i:05082 

Schumacher, Heinz On 1-embedding of complete graphs. 92h:05048 

— On 2-embeddable graphs. 92c:05054 

Sendov, Blagovest Kh. Planar neighbourhood graphs without cycles. 92k:05046 

Servatius, Brigitte (with Christopher, Peter R.) Construction of self-dual graphs. 
92k:05047 

Seymour, P. D. Directed circuits on a torus. 92m:05072 

Shastri, Aditya Minimal regular graph containing a given graph. 92m-:05073 


COMBINATORICS 


1992 


Shen, Ming Gang An embedding of edge-colored paths in complete graphs. (Chinese. 
English summary) 92b:05032 

Shtan‘ko, M. A. see Dolbilin, N. P.; et al., 92i:05083 

Shtogrin, M. 1. see Dolbilin, N. P.; et al., 92i:05083 

Simeone, Bruno see Liu, Yan Pei; et al., 92a:05044 

Simié¢, Slobodan see Cvetkovi¢é, Dragos M.; et al., 92m:05066 

Simpson, James E. see Alavi, Yousef; et al., 92i:05080 

Sirai, Jozef Characterization of signed graphs which are cellularly embeddable in no more 
than one surface. 92i:05086 

— Duke’s theorem does not extend to signed graph embeddings. 92j:05065 

— (with Skoviera, Martin) Characterization of the maximum genus of a signed graph. 
92b:05033 

— see also Bodendiek, Rainer; et al., 92g:05073 

Skoviera, Martin The maximum genus of graphs of diameter two. 92b:05034 

— see also Nedela, Roman, 92a:05045; Sirain, Jozef, 92b:05033 and Nedela, Roman, 
92c:05053 

Sotteau, D. see Baumslag, Marc; et al., (92b:68012) 

Stahl, Saul Region distributions of some small diameter graphs. 92h:05049 

— An upper bound for the average number of regions. 92d:05059 

— Permutation-partition pairs. III. Embedding distributions of linear families of graphs. 
92g:05084 

Stillwell, John C. see Abello, James; et al., 92g:05071 

Sun, Shi Xin see Kang, Tai; et al., 92g:05077 

Takahashi, Toshihiko see Kajitani, Yoji, 92h:05045 

Thomas, Robin see Robertson, Neil, 92f:05038 

Twilt, F. see Jongen, Hubertus Th.; et al., 92f:05036 

Vanderjagt, Donald W. see Chartrand, Gary; et al., 92m:05065 

Venkatesan, Shankar M. see McCuaig, William D.; et al., 92f:05037 

Vince, Andrew see Little, C. H. C., 92a:05043 

Wagner, Klaus! see Bodendiek, Rainer, 92d:05051 and 92d:05052 

Walther, Hansjoachim Imbedding of graphs into a special family of infinite graphs. 
92a:05049 

— see also Harant, Jochen, 92c:05052 

Weaver, Nikolai see Flapan, Erica, 92j:05060 

White, Arthur T. see Lee, Sang H., 92g:05081 

Xu, Wei Xuan An improved algorithm for planarity testing based on Wu-Liu’s criterion. 
92e:05038 

Yu, Xingxing Nonseparating cycles and discrete Jordan curves. 92m:05074 

Ziv, Ran see Hartman, I. Ben-Arroyo; et al., 92a:05042 


Items with secondary classifications in 05C10 

Archdeacon, Dan S. (with Perkel, Manley) Constructing polygonal graphs of large girth and 
degree. 92b:05052 

Avis, David (with Deza, Michel) The cut cone, L' embeddability, complexity, and 
multicommodity flows. 92h:90046 

Azarenok, A.S. (with Sarvanov, V.I.) Planarity of hypergraphs with bounded parameters. 
(Russian. English summary) 92a:05098 

Barnette, David W. Generating the 4-connected and strongly 4-connected triangulations on 
the torus and projective plane. 92b:57030 

— The minimal projective plane polyhedral maps. 92k:52029 

— Polyhedral embeddings in the projective plane. 92f:57010 

Behrendt, Gerhard Partially ordered sets with self-complementary comparability graphs. 
92d:06004 

Borodin, O. V. A generalization of Kotzig’s theorem and prescribed edge coloring of planar 
graphs. (Russian) 92¢:05046 

Boswell, Sharon G. Bounds on the number of I’-operation edge substitutions required to 
transform a maximal planar graph into another. 92h:05124 

Brecht, Timothy B. see Keil, J. Mark, 92c:05149 

Chung, Fan R. K. Separator theorems and their applications. 92d:05152 

Cimikowski, Robert J. Finding longest «)«‘2s in inner-triangulated graphs. 92b:05054 

Costa, Antonio F. On manifolds admitting regular combinatorial maps. 92e:57005 

Coxeter, H.S.M. (with Shephard, G. C.) Some regular maps and their polyhedral 
realizations. 92h:52012 

Dean, Nathaniel The matching extendability of surfaces. 92m:05146 

Deza, Michel see Avis, David, 92h:90046 

Diestel, Reinhard A compactness theorem for complete separators. 92a:05106 

Dillencourt, Michael B. An upper bound on the shortness exponent of 1-tough, maximal 
planar graphs. 92g:05120 

Fan, Hong Bing 5-flow theorems for the torus and the Klein bottle. (Chinese) 92g:05090 

Ferri, Massimo (with Lins, Séstenes) Topological aspects of edge fusions in 4-graphs. 
92b:57007 

Frank, Andras (with Schrijver, Alexander) Vertex-disjoint simple paths of given homotopy 
in a planar graph. 924:05083 

Gagliardi, Carlo Surface maps and n-dimensional manifolds. 92¢:57006 

Gao, Zhi-Cheng The number of rooted 2-connected triangular maps on the projective plane. 
92g:05101 

— The number of rooted triangular maps on a surface. 92h:05068 

— The asymptotic number of rooted 2-connected triangular maps on a surface. 92m:05093 

Gerards, A.M. H. Compact systems for T-join and perfect matching polyhedra of graphs 
with bounded genus. 92i:90111 

Goddard, Wayne D. Acyclic colorings of planar graphs. 92h:05054 

Graver, Jack E. Rigidity matroids. 92g:05058 

Gupta, Ajay K. see Winston, Anand Kumar, et al., 92k:05123 

Gutman, Ivan (with Narumi, Hideyuki) An inequality for the simple topological index. 
(Serbo-Croatian summary) 92¢:92637 

Havel, Ivan On certain trees in hypercubes. 92j:05050 

Ho, Ching-Tien (with Johnsson, S. Lennart) Embedding three-dimensional meshes in 
Boolean cubes by graph decomposition. 92i:68123 

Hoffman, Frederick (with Locke, S. C.; Meyerowitz, A.D.) A note on cycle double covers in 
Cayley graphs. 92g:05145 





121 1992 


Jaromczyk, Jerzy W. (with Kowaluk, Mirostaw) Constructing the relative neighborhood 
graph in 3-dimensional Euclidean space. 924:05155 

Jendrof, Stanislav (with Jucovit, Ernest; Trenkler, M.) Vertex-vectors of quadrangular 3- 
polytopes with two types of edges. 92a:52015 

Johnsson, S. Lennart see Ho, Ching-Tien, 92i:68123 

Jonish, D. (with Millett, Kenneth C.) Isotopy invariants of graphs. 92a:57005 

Jucovit, Ernest see Jendrof, Stanislav; et al., 92a:52015 

Kannan, Sampath K. (with Warnow, Tandy J.) Triangulating three-colored graphs. (see 
92b:68016) 

Kauffman, Louis H. (with Vogel, Pierre) Link polynomials and a graphical calculus. 
92m:57012 

Keil, J. Mark (with Brecht, Timothy B.) The complexity of clustering in planar graphs. 
92¢:05149 

Kim, Young Man (with Lai, Ten Hwang) The complexity of congestion-1 embedding in a 
hypercube. 92i:68058 

Koester, Gerhard 4-critical 4-valent planar graphs constructed with crowns. 92a:05056 

Kowaluk, Miroslaw see Jaromczyk, Jerzy W., 92d:05155 

Kratochvil, Jan (with Lubiw, Anna; NeSetiil, Jaroslav) Noncrossing subgraphs in topologi- 
cal layouts. 92e:05111 

Lai, Ten Hwang see Kim, Young Man, 92i:68058 

Leiss, Ernst L. (with Reddy, Hari N.) Embedding complete binary trees into hypercubes. 
92i:68126 

Levinson, Henry W. Cayley diagrams. 92d:05071 

Lins, Séstenes see Ferri, Massimo, 92b:57007 

Liu, Yan Pei On Boolean characterizations of planarity and planar embeddings of graphs. 
92e:05112 

— see also Yan, Ji Yi; et al. 

Locke, S.C. see Hoffman, Frederick; et al., 92g:05145 

Lubiw, Anna see Kratochvil, Jan; et al., 92e:05111 

Maehara, Hiroshi On Graver’s conjecture concerning the rigidity problem of graphs. 
92a:52033 

Meijer, Henk (with Rappaport, David) Upper and lower bounds for the number of 
monotone crossing free Hamiltonian cycles from a set of points. 92d:05086 

Meyerowitz, A. D. see Hoffman, Frederick; et al., 92g:05145 

Millett, Kenneth C. see Jonish, D., 92a:57005 

Mitchem, John (with Schmeichel, Edward) An edge coloring conjecture for planar graphs. 
92j:05073 

Mohar, Bojan Regular triangulations of noncompact surfaces. 92c:57012 

Murthy, Chetan R. (with Russell, James R.) A constructive proof of Higman’s lemma. (see 
92b:68007) 

Narumi, Hideyuki see Gutman, Ivan, 92c:92037 

Negami, Seiya Ramsey theorems for knots, links and spatial graphs. 92h:57614 

NeSetfil, Jaroslav see Kratochvil, Jan; et al., 92e:05111 

Parsons, T. D. (with Pisanski, Tomaz) Graphs which are locally paths. 92¢:05066 

Perkel, Manley see Archdeacon, Dan S., 92b:05052 

Pisanski, Tomaz see Parsons, T. D., 92¢:05066 

Polat, Norbert Topological aspects of infinite graphs. 92a:05126 

Prisner, Erich Homology of the line graph and of related graph-valued functions. 92c:57002 

Rappaport, David see Meijer, Henk, 92d:05086 

Reddy, Hari N. see Leiss, Ernst L., 92i:68126 

Reuter, Klaus (with Rival, Ivan) Genus of orders and lattices. 92d:68113 

Rival, Ivan see Reuter, Klaus, 92d:68113 

Robertson, Neil (with Seymour, P. D.) Graph minors. X. Obstructions to tree- 
decomposition. 92g:05158 

Rosenfeld, Moshe The number of cycles in 2-factors of cubic graphs. 92d:05088 

Russell, James R. see Murthy, Chetan R., (92b:68007) 

Sarvanov, V.I. see Azarenok, A. S., 92a:05098 

Schild, Goran On linear embeddings of abstract complexes. 92i:57020 

Schmeichel, Edward see Mitchem, John, 92j:05073 

Schrijver, Alexander The Klein bottle and multicommodity flows. 92b:90083 

— see also Frank, Andras, 92d:05083 

Servatius, Brigitte On the two-dimensional generic rigidity matroid and its dual. 92d:05042 

Seymour, P. D. see Robertson, Neil, 92g:05158 

Shephard, G. C. see Coxeter, H. S. M., 92h:52012 

Sherwani, Naveed A. see Winston, Anand Kumar; et al., 92k:05123 

Simon, Jonathan K. (with Wolcott, Keith) Minimally knotted graphs in S?. 92a:57015 

Stohr, Elena The pagewidth of trivalent planar graphs. 92c:05153 

Sun, Wen Yu Notes on optimization of basic embeddings. (Chinese summary) 92k:68102 

Suzuki, Shin’ichi A prime decomposition theorem for a graph in the 3-sphere. 92c:57011 

Tamassia, Roberto Drawing algorithms for planar st-graphs. 92¢:05114 

Thomassen, Carsten The Jordan-Schénflies theorem and the classification of surfaces. 
92k:57026 

Trenkler, M. see Jendrof, Stanislav; et al., 92a:52015 

Tucker, Thomas W. Some topological graph theory for topologists: a sampler of covering 
space constructions. 92i:57002 

Venkatesan, Shankar M. On cleaving a planar graph. 92a:05071 

Vince, Andrew Recognizing the 3-sphere. 92j:57006 

Vogel, Pierre see Kauffman, Louis H., 92m:57012 

Wargo, Lawrence A. A characterization of almost-outerplanar graphs. 92j:05160 

Warnow, Tandy J. see Kannan, Sampath K., (92b:68016) 

Wilkeit, Elke Isometric embeddings in Hamming graphs. 92e:05115 

Winston, Anand Kumar (with Gupta, Ajay K.; Sherwani, Naveed A.) Minimum average 
dilation embeddings for hypercube. 92k:05123 

Wolcott, Keith see Simon, Jonathan K., 92a:57015 

Yan, Ji Yi (with Liu, Yan Pei) Asymptotic behavior of the number of rooted planar maps 
and rooted outerplanar maps. (Chinese) 

Yuan, Shyan Ming Topological properties of supercube. 92f:68010 


05C Graph theory 


05C12 Distance in graphs 


Bandelt, Hans-Jiirgen (with Mulder, Henry Martyn) Pseudo-median graphs: decomposi- 
tion via amalgamation and Cartesian multiplication. 92i:05087 

Béhme, T. A note on metric properties of infinite graphs. 92e:05039 

Brigham, Robert C. (with Dutton, Ronald D.) Distances and diameters in Steinhaus graphs. 
92h:05050 

Buckley, Fred Self-centered graphs. 92¢:05040 

Ceccherini, Pier Vittorio Studying structures by counting geodesics. 92a:05050 

Chang, Chén Hua Centers of chordal graphs. 92j:05066 

Chartrand, Gary (with Oellermann, Ortrud R.; Schultz, Michelle) Distance: a graphical 
tour. 92i:05088 

— (with Tian, Song Lin) Maximum distance in digraphs. 92i:05089 

— (with Tian, Song Lin) Oriented graphs with prescribed m-center and m-median. 
921:05090 

Chepoi, V. D. Classification of graphs by means of metric triangles. (Russian) 92¢:05041 

— see also Yushmanov, S. V., 92h:05052 

Dutton, Ronald D. see Brigham, Robert C., 92h:05050 

Fiiredi, Zoltin The maximum number of edges in a minimal graph of diameter 2. 92j:05067 

Grant, Douglas D. A generalisation of the diameter of a graph. 92d:05060 

He, Wen Jie (with Li, Shuang Hu) Average distances of chain regular graphs. (Chinese. 
English summary) 92g:05085 

Henning, Michael A. (with Oellermann, Ortrud R.; Swart, Henda C.) On vertices with 
maximum Steiner [eccentricity in graphs]. 92j:05068 

Kaden, Frieder Graph distances and similarity. 92e:05042 

— Distance graphs on finite graph sets. 92c:05055 

Lambeck, Ernst Willem * Contributions to the theory of distance regular graphs. 
92a:05051 

Lengyel, Tamas Some graph probl and the reali 

Li, Shuang Hu see He, Wen Jie; et al., 92g:05085 

Maehara, Hiroshi Distances in a rigid unit-distance graph in the plane. 92m:05075 

McCanna, Joseph Fractal dimensions of graphs. 92m:05076 

Mulder, Henry Martyn The expansion procedure for graphs. 92g:05086 

— Triple convexities for graphs. 92a:05052 

— see also Bandelt, Hans-Jirgen, 92i:05087 

Oellermann, Ortrud R. see Chartrand, Gary; et al., 92i:05088 and Henning, Michael A.; et 
al., 92j:05068 

Opatrny, J. (with Sotteau, D.) Linear congruential graphs. (see 92e:05002) 

Schultz, Michelle see Chartrand, Gary; et al., 92i:05088 

Soltés, Lubomir Transmission in graphs: a bound and vertex removing. 92a:05053 

Sotteau, D. see Opatrny, J., (92e:05002) 

Swart, Henda C. see Henning, Michael A.; et al., 92j:05068 

Tian, Song Lin see Chartrand, Gary, 92i:05089 and 92i:05090 

Xu, Cheng De On 2-diameter-stable graphs. (Chinese summary) 92m:05077 

Yushmanov, S. V. (with Chepoi, V.D.) A general method for studying the metric character- 
istics of a graph that are connected with eccentricity. (Russian) 92h:05052 





bility of metrics by graphs. 92h:05051 


Items with secondary classifications in 05C12 

Balaz, Viadimir (with Kvasnicka, Vladimir; Pospichal, Jiti) Two metrics in a graph theory 
modeling of organic chemistry. 92m:92022 

Chartrand, Gary (with Hevia, Héctor; Jarrett, Elzbieta B.; Saba, Farrokh; Vanderjagt, 
Donald W.) Subgraph distance and generalized line graphs. 92m:05065 

Damaschke, Peter Distances in cocomparability graphs and their powers. 92m:05067 

Hevia, Héctor see Chartrand, Gary; et al., 92m:05065 

Hirschberg, D.S. (with Larmore, Lawrence L.) The traveler’s problem. 92m:90054 

Jarrett, Elzbieta B. see Chartrand, Gary; et al., 92m:05065 

Johns, Garry L. (with Lee, Tai Chi) S-distance in trees. 92j:68097 

Knyazev, A. V. On the diameters of dichotomous graphs. (Russian) 92i:05101 

Kvasnitka, Vladimir see Balaz, Vladimir; et al., 92m:92022 

Larmore, Lawrence L. see Hirschberg, D. S., 92m:90054 

Lee, Tai Chi see Johns, Garry L., 92j:68097 

Liu, Jia Zhuang Representations of trees by sequences of integers and their applications. 
92i:05078 

Pospichal, Jiti see Balaz, Viadimir; et al., 92m:92022 

Saba, Farrokh see Chartrand, Gary; et al., 92m:05065 

Salowe, Jeffrey S. Constructing multidimensional spanner graphs. 92h:05114 

Vanderjagt, Donald W. see Chartrand, Gary; et al., 92m:05065 

Zelinka, Bohdan A remark on self-centroidal graphs. 92¢:05130 


05C15 Chromatic theory of graphs and maps 


Ahlswede, Rudolf (with Cai, Ning; Zhang, Zhen) A recursive bound for the number of 
complete K-subgraphs of a graph. 92b:05035 

Alon, Noga (with McDiarmid, Colin; Reed, Bruce) Acyclic coloring of graphs. 92e:05043 

— The strong chromatic number of a graph. 92i:05091 

Andersen, Lars Devling (with Hilton, Anthony J. W.) Extending edge-colorings of complete 
graphs and independent edges. 92d:05061 

André, Johannes Noncommutative geometry and graphs. 92g:05087 

Asratyan, A.S. (with Mirumyan, A. N.) Transformations of edge colorings of a bipartite 
multigraph and their applications. (Russian) 92¢:05044 

Bari, Ruth A. (with Crawford, Carol G.) Almost proper line colorings and near chromatic 
polynomials. 92¢:05045 

— (with Crawford, Carol G.) New results in near-chromatic polynomials. 92m:05078 

Beck, Jézsef Quasi-random 2-colorings of point sets. 92d:05062 

Berge, Claude (with Fournier, Jean-Claude) A short proof for a generalization of Vizing’s 
theorem. 924:05063 

Borgatti, Stephen P. see Everett, Martin G., 92c:05057 

Borodin, O. V. A generalization of Kotzig’s theorem and prescribed edge coloring of planar 
graphs. (Russian) 92¢:05046 

— (with Dmitriev, I. G.) Characterization of chromatically rigid polynomials. (Russian) 


92g:05088 








05C15 


Cai, Leizhen (with Ellis, John A.) Edge colouring line graphs of unicyclic graphs. 
92m:05079 

Cai, Ning see Ahiswede, Rudolf; et al., 92b:05035 

Chetwynd, A. G. (with Hilton, Anthony J. W.; Zhao, Cheng) The total chromatic number of 
graphs of high minimum degree. 92k:05048 

Chilakamarri, Kiran B. Unit-distance graphs in Minkowski metric spaces. 92b:05036 

Chvatal, Vaiek Almost all graphs with 1.44n edges are 3-colorable. 92c:05056 

Crawford, Carol G. see Bari, Ruth A., 92e:05045 and 92m:05078 

Dmitriev, I. G. see Borodin, O. V., 92g:05088 

Dong, Feng Ming The chromatic uniqueness of two classes of special graphs. (Chinese) 
92i:05092 

Dugdale, J. K. (with Hilton, Anthony J. W.) The total chromatic number of regular graphs 
of order 2n and degree 2n — 3. 92g:05089 

Ellis, John A. see Cai, Leizhen, 92m:05079 

Erdés, Paul (with Fajtlowicz, Siemion; Staton, William) Degree sequences in triangle-free 
graphs. 92m:05080 

Everett, Martin G. (with Borgatti, Stephen P.) Role colouring a graph. 92c:05057 

Fajtlowicz, Siemion see Erdés, Paul; et al., 92m:05080 

Fan, Hong Bing 5-flow theorems for the torus and the Klein bottle. (Chinese) 92g:05090 

Farrell, E. J. (with Whitehead, Earl Glen, Jr.) Matching, rook and chromatic polynomials 
and chromatically vector equivalent graphs. 92b:05037 

Fournier, Jean-Claude see Berge, Claude, 92d:05063 

Galvin, Fred Hypergraph games and the chromatic number. 92i:05093 

Gessel, Ira M. A coloring problem. 92h:05053 

Gismondi, S. J. (with Swart, E.R.) A new type of 4-colour reducibility. 92j:05069 

Giudici, Reinaldo E. (with Lima de SA, Eduardo) Chromatic uniqueness of certain bipartite 
graphs. 92i:05094 

Goddard, Wayne D. Acyclic colorings of planar graphs. 92h:05054 

Gries, David see Misra, Jayadev 

Guldan, Filip On a problem of colouring the real plane. (Slovak summary) 92g:05091 

Guo, Xi Bo see Zhang, Zhong Fu; et al., 92a:05058 

Gutjahr, Wolfgang (with Welzl, Emo; Woeginger, Gerhard J.) Polynomial graph-colorings. 
92m:05081 

Gyarfas, Andras (with Lehel, Jené) Effective on-line coloring of Ps-free graphs. 92h:05055 

Hansen, Pierre (with Kuplinsky, Julio) Slightly hard-to-color graphs. 92h:05056 

Hanson, Denis (with Toft, B.) k-saturated graphs of chromatic number at least k. 
92c:05058 

Harary, Frank (with Tuza, Zsolt) An exact value for the path-chromatic index of a 
complete graph. 92g:05092 

— (with Hsii, Li Hsing) Conditional chromatic number and graph operations. 92i:05095 

Hilton, Anthony J. W. (with Wilson, Robin James) Edge-colorings of graphs: a progress 
report. (see 92b:05001) 

— (with Johnson, P. D., Jr.) Extending Hall’s theorem. 92a:05054 

— (with Zhao, Cheng) The relationship between an edge colouring conjecture and a total 
colouring conjecture. 92j:05070 

— The total chromatic number of nearly complete bipartite graphs. 924:05064 

— see also Andersen, Lars Devling, 92d:05061; Dugdale, J. K., 92g:05089 and Chetwynd, A. 
G,; et al., 92k:05048 

Hoang, Chinh T. (with Maffray, Frédéric; Preissmann, Myriam) New properties of 
perfectly orderable graphs and strongly perfect graphs. 92m:05082 

Holroyd, Fred (with Miller, Robert Glendinning) The example that Heawood should have 
given. 92m:05083 

Horak, Peter The strong chromatic index of graphs with maximum degree four. 92f:05040 

Hsi, Li Hsing see Harary, Frank; et al., 92i:05095 

Ha, Guan Zhang The (A, k) coloring problem for graphs. (Chinese. English summary) 
92b:05038 

Jaeger, Francois On transition polynomials of 4-regular graphs. 92c:05059 

Johns, Garry L. (with Saba, Farrokh) On the path-chromatic number of a graph. 92¢:05047 

Johnson, P. D., Jr. see Hilton, Anthony J. W., 92a:05054 

. (with Ryan, Jennifer) Totally colouring a graph with maximum degree 


Kierstead, H. A. (with Penrice, Stephen G.) Recent results on a conjecture of Gyarfas. 
92m:05084 

Koebe, M. Colouring of spider graphs. 92a:05055 

Koester, Gerhard 4-critical 4-valent planar graphs constructed with crowns. 92a:05056 

Koh, K. M. (with Teo, C. P.) The chromatic uniqueness of certain broken wheels. 
921:05096 

— see also Teo, Kee-Leong, 92j:05076 

Kriz, Igor Equivariant cohomology and lower bounds for chromatic numbers. 92m:05085 

Kubicka, Ewa Constraints on the chromatic sequence for trees and graphs. 92h:05057 

Kuplinsky, Julio see Hansen, Pierre, 92h:05056 

Lan, Xiu Qing On chromaticity of graphs. (Chinese. English summary) 92j:05071 

Lehel, Jené see Gyarfés, Andras, 92h:05055 

Li, Nian Za (with Whitehead, Earl Glen, Jr.) Classification of graphs having cubic o- 
polynomials. 92j:05072 

Li, Wei Min Some new results on chromatic uniqueness of K, homeomorphs. (Chinese. 
English summary) 92k:05049 

Li, Xiao Dong see Zhang, Zhong Fu; et al., 92j:05082 

Lima de Sa, Eduardo see Giudici, Reinaldo E., 92i:05094 

Lin, Xiao Hui see Zhang, Cheng Xue; et al., 92j:05080 

Liu, Lin Zhong (with Zhang, Zhong Fu) The entire edge-face chromatic numbers of some 
planar graphs. (Chinese. English summary) 

La, Zhi Kang On an upper bound for the harmonious chromatic number of a graph. 
924:05065 

Luo, Xin Hua see McDiarmid, Colin, 92g:05094 

Maffray, Frédéric see Hoang, Chinh T.; et al., 92m:05082 

Marcotte, Odile Exact edge-colorings of graphs without prescribed minors. 92¢:05061 

— On the chromatic index of multigraphs and a conjecture of Seymour. II. 92g:05093 

Marcu, Danut Note on graphs colouring. 


COMBINATORICS 


1992 


McDiarmid, Colin (with Luo, Xin Hua) Upper bounds for harmonious colorings. 
92g:05094 


— see also Alon, Noga; et al., 92e:05043 

Miller, Robert Glendinning see Holroyd, Fred, 92m:05083 

Mirumyan, A. N. see Asratyan, A. S., 92e:05044 

Misra, Jayadev (with Gries, David) A constructive proof of Vizing’s theorem. 

Mitchem, John (with Schmeichel, Edward) An edge coloring conjecture for planar graphs. 
92j:05073 

Muzychuk, I. A. Nonexistence of some twelfth-order 4-critical graphs. (Russian) 92c:05062 

— On the nonexistence of even 4-critical graphs of order 12. (Russian) 92c:05063 

Nemhauser, George L. (with Park, Sungsoo) A polyhedral approach to edge coloring. 
92k:05050 

Nintak, Jan A note on Hadwiger’s conjecture for line graphs. 92d:05066 

Olariu, Stephan On the structure of unbreakable graphs. 92i:05097 

Park, Sungsoo see Nemhauser, George L., 92k:05050 

Peng, Yee Hock On the chromatic uniqueness of certain bipartite graphs. 92k:05051 

Penrice, Stephen G. see Kierstead, H. A., 92m:05084 

Poljak, Svatopluk Coloring digraphs by iterated antichains. 92j:05074 

Preissmann, Myriam see Hoang, Chinh T.; et al., 92m:05082 

Reed, Bruce see Alon, Noga; et al., 92e:05043 

Roberts, Fred S. T-colorings of graphs: recent results and open problems. 92m:05086 

Ryan, Jennifer see Jones, Kathryn F., 92c:05060 

Saba, Farrokh see Johns, Garry L., 92e:05047 

Schmeichel, Edward see Mitchem, John, 92j:05073 

Seymour, P. D. Colouring series-parallel graphs. 92¢:05048 

Solot, Ph. see de Werra, D., 92j:05079 

Staton, William see Erdés, Paul; et al., 92m:05080 

Sun, Liping Two classes of perfect graphs. 92j:05075 

Swart, E.R. see Gismondi, S. J., 92j:05069 

Teo, C. P. see Koh, K. M., 92i:05096 

Teo, Kee-Leong (with Koh, K.M.) Chromatic classes of certain 2-connected (n,n + 2)- 
graphs. 92j:05076 

Tesman, Barry A. Set T-colorings of graphs. 92h:05058 

Toft, B. see Hanson, Denis, 92c:05058 

Tomescu, Ioan Some extremal results concerning the number of graph and hypergraph 
colorings. 92b:05039 

Traldi, Lorenzo Generalized activities and K-terminal reliability. 92m:05087 

Tutte, W.T. On the Birkhoff-Lewis equations. 92k:05052 

Tuza, Zsolt Contractions and minimal k-colorability. 92c:05064 

— see also Harary, Frank, 92g:05092 

Voigt, M. (with Walther, Hansjoachim) On the chromatic number of special distance 
graphs. 92j:05077 

Walker, Keith Standard and nonstandard edge colourings of complete graphs. 92g:05095 

Walther, Hansjoachim see Voigt, M., 92j:05077 

Wang, Jian Fang see Zhang, Zhong Fu; et al., 92a:05058 

Wang, Wei Fan see Zhang, Zhong Fu; et al., 92j:05081 

Watkins, John J. Snarks. 92j:05078 

Weizl, Emo see Gutjahr, Wolfgang; et al., 92m:05081 

de Werra, D. Packing independent sets and transversals. 92a:05057 

— (with Solot, Ph.) Compact cylindrical chromatic scheduling. 92j:05079 

Whitehead, Earl Glen, Jr. Chromatic polynomials and the structure of graphs. 92f:05041 

— see also Farrell, E. J., 92b:05037 and Li, Nian Zu, 92j:05072 

Wilson, Robin James see Hilton, Anthony J. W., (92b:05001) 

Woeginger, Gerhard J. see Gutjahr, Wolfgang; et al., 92m:05081 

Woodall, D. R. Generalizations of Hadwiger’s conjecture. 92i:05098 

— A short proof of a theorem of Dirac’s about Hadwiger’s conjecture. 92i:05099 

Xu, Shao Ji A lemma in studying chromaticity. 92m:05088 

— The chromatic uniqueness of complete bipartite graphs. 92h:05059 

Xue, Tong see Zhang, Jian Gao; et al., 92i:05100 

Yang, Shi Ming see Zhang, Zhong Fu; et al., 92e:05049 

Yang, Yuan Sheng see Zhang, Cheng Xue; et al., 92j:05080 

Zhang, Cheng Xue (with Lin, Xiao Hui; Yang, Yuan Sheng) A bound of Shen Lin and 
Irving for a graph-coloring constant. (Chinese. English summary) 92j:05080 

Zhang, Jian Gao (with Xue, Tong) Chromaticity of complete bipartite graphs. (Chinese) 
92i:05100 

Zhang, Jian Xun see Zhang, Zhong Fu; et al., 92j:05081 

Zhang, Ke Min see Zhang, Zhong Fu; et al., 92j:05082 

Zhang, Zhen see Ahiswede, Rudolf; et al., 92b:05035 

Zhang, Zhong Fu (with Yang, Shi Ming) The 3-total chromatic number of graphs. (Chinese. 
English summary) 92e:05049 

— (with Wang, Jian Fang; Guo, Xi Bo) The relation between the chromatic number of a 
graph and the edge chromatic number of its complement. (Chinese. English summary) 
92a:05058 

— (with Zhang, Jian Xun; Wang, Wei Fan) The complete chromatic number of some planar 
graphs. (Chinese. English summary) 92j:05081 

— (with Zhang, Ke Min; Li, Xiao Dong) A property of total coloring of graphs. (Chinese 
summary) 92j:05082 

— see also Liu, Lin Zhong; et al. 

Zhao, Cheng The chromatic index of a graph G whose core has cycle rank at most 2. 
92j:05083 

— Chromatic number classification of graphs G, of small cycle rank. (Chinese. English 
summary) 92c:05065 

— see also Hilton, Anthony J. W., $2j:05070 and Chetwynd, A. G.; et al., 92k:05048 

Zhou, Hui Shan The chromatic difference sequence of the Cartesian product of graphs. 
92j:05084 


Items with secondary classifications in 05C15 


Achuthan, N. R. see Achuthan, Nirmala; et al., 92h:05069 
Achuthan, Nirmala (with Achuthan, N. R.; Caccetta, L.) On the Nordhaus-Gaddum class 
problems. 92h:05069 





123 1992 


Andreae, Thomas A search problem on graphs which generalizes some group testing 
problems with two defectives. 92b:05065 

Balas, Egon (with Xue, Jue) Minimum weighted coloring of triangulated graphs, with 
application to maximum weight vertex packing and clique finding in arbitrary graphs. 
92h:68069 

Bsumann, Ulrike (with Lesch, Manfred; Schmeichel, Irmgard) Remarkable groups of 
graphs with edge colourings. 

Biggs, N. L. (with Lloyd, E. Keith; Wilson, Robin James) The historical background to 
Gerhard Ringel’s work. 92m:01062 

Bodlaender, Hans L. On the complexity of some coloring games. 92j:68042 

Borodin, O. V. A structural property of planar graphs and the simultaneous colouring of 
their edges and faces. (Russian summary) 92¢:05035 

Brewster, Richard (with MacGillivray, Gary) A note on restricted H-colouring. 

Broere, Izak (with Hattingh, Johannes H.) The chromatic index of an abelian Cayley graph. 
92c:05076 

Bryant, Roy D. (with Fredricksen, Harold) Covering the de Bruijn graph. 92h:05092 

Burosch, Gustav (with Gronau, Hans-Dietrich O. F.; NeSetfil, Jaroslav) Minimal uniquely 
colourable hypergraphs. 92h:05090 

Caccetta, L. see Achuthan, Nirmala; et al., 92h:05069 

Caro, Yair (with Tuza, Zsolt) Hypergraph coverings and local colorings. 924:05116 

Casali, Maria Rita (with Grasselli, Luigi) Wave moves on crystallizations. 92h:57031 

Chu, Sydney C. K. Efficient bounds on a branch and bound algorithm for graph colouration. 
921:05196 

Cong, Jingsheng see Wang, Gong Ben; et al., 92f:05073 

Costa, Antonio F. On the regularity conditions for coloured graphs. (see 92c:20002) 

Duffus, Dwight (with Kierstead, H. A.; Trotter, W.T.) Fibres and ordered set coloring. 
92e:06010 

Erdés, Paul (with Gimbel, John; Kratsch, Dieter) Some extremal results in cochromatic 
and dichromatic theory. 92i:05118 

Fredricksen, Harold see Bryant, Roy D., 92h:05092 

Galvin, Fred (with Komjath, Péter) Graph colorings and the axiom of choice. 92k:04002 

Gimbel, John see Erdés, Paul; et al., 92i:05118 

Goldberg, Mark K. (with Powers, D. L.) A machine-tool design. 

Grasselli, Luigi see Casali, Maria Rita, 92h:57031 

Gronau, Hans-Dietrich O. F. see Burosch, Gustav; et al., 92h:05090 

Guldan, Filip Acyclic chromatic index and linear arboricity of graphs. 92c:05117 

Guo, Zhi Yi (with Li, Nian Zu) The m-clique polynomial and its application to chromatic 
polynomials. 92k:05126 

Harary, Frank The chromatic number of a finite group. 92f:20025 

Harborth, Heiko Gerhard Ringel—seventy. 92m:01061 

Hattingh, Johannes H. see Broere, Izak, 92c:05076 

Hertz, A. COSINE: a new graph coloring algorithm. 92i:05203 

Irani, Sandy Coloring inductive graphs on-line. 92i:05204 

Jaeger, Francois Even subgraph expansions for the flow polynomial of cubic plane maps. 
92e:05037 

Kierstead, H. A. (with Trotter, W. T.) On-line graph coloring. (see 92m:68005) 

— see also Duffus, Dwight; et al., 92¢:06010 

Kitagawa, Fumio An algorithm for constructing a weight-controlled subset and its 
application to graph coloring problem. 92g:05004 

Komjath, Péter A Galvin-Hajnal conjecture on uncountably chromatic graphs. 92h:03070 

— see also Galvin, Fred, 92k:04002 

Kratsch, Dieter see Erdés, Paul; et al., 92i:05118 

Kuéera, Ludék see Matula, David, 92¢:05106 

Kundrik, Anton Dual point-partition number of complementary graphs. 92e:05071 

Lesch, Manfred see Baumann, Uirike; et al., 92j:05088 

Li, Nian Za _ see Liu, Ru Ying; et al., 92f:05048 and Guo, Zhi Yi, 92k:05126 

Li, Qiao Some results and problems in graph theory. 92e:05051 

Liu, Chung Laung see Wang, Gong Ben; et al., 92:05073 

Liu, Ru Ying (with Li, Nian Zu) Chromatic uniqueness of connected vertex-transitive 
graphs. (Chinese. English summary) 92f:05048 

Lioyd, E. Keith see Biggs, N. L.; et al., 92m:01062 

Labiw, Anna Short-chorded and perfect graphs. 92a:05095 

Luaczak, Tomasz The chromatic number of random graphs. 92g:05164 

— A note on the sharp concentration of the chromatic number of random graphs. 92k:05118 

MacGillivray, Gary On the complexity of colouring by vertex-transitive and arc-transitive 
digraphs. 92d:05156 

— see also Brewster, Richard 

Mao, Lin Fan The maximum size of r-partite subgraphs of a K>-free graph. 92a:05068 

Marcotte, Odile (with Seymour, P. D.) Extending an edge-coloring. 92d:05128 

Matula, David (with Kutéera, Ludék) An expose-and-merge algorithm and the chromatic 
number of a random graph. 92¢:05106 

Morgenstern, Craig A. (with Shapiro, Henry D.) Heuristics for rapidly four-coloring large 
planar graphs. 92g:05169 

Moss, Lawrence S. Existence and nonexistence of universal graphs. 92b:05030 

NeSetfil, Jaroslav see Burosch, Gustav; et al., 92h:05090 

Olariu, Stephan Some aspects of the semi-perfect elimination. 924:05112 

Powers, D. L. see Goldberg, Mark K. 

Preissmann, Myriam Locally perfect graphs. 922:05096 

(Ringel, Gerhard) see Harborth, Heiko, 92m:01061 and Biggs, N. L.; et al., 92m:01062 

Rédl, Vojtéch (with Tuza, Zsolt) Rainbow subgraphs in properly edge-colored graphs. 
92m:05117 

Scheinerman, Edward R. (with Trenk, Ann N.) On generalized perfect graphs: a-perfection 
and acyclic x-perfection. 92i:05181 

Schmeichel, Irmgard see Baumann, Ulrike; et al., 92j:05088 

Schumacher, Heinz On 2-embeddable graphs. 92c:05054 

Seymour, P. D. see Marcotte, Odile, 92d:05128 

Shapiro, Henry D. see Morgenstern, Craig A., 92g:05169 

Shelah, Saharon Incompactness for chromatic numbers of graphs. 92j:03045 

Shen, Ming Gang An embedding of edge-colored paths in complete graphs. (Chinese. 
English summary) 92b:05032 


05C Graph theory 


05C20 


Sidorenko, A. F. Inequalities in probability theory and Turan-type problems for graphs with 
colored vertices. 92h:60024 

Soukup, Lajos On c+-chromatic graphs with small bounded subgraphs. 92a:03068 

Steprins, Juris Steprans’ problems. (see 92c:54001) 

Stoyan, Gisbert (with Stoyan, Robert) Colouring the discretization graphs arising in the 
multigrid method. 92i:05210 

Stoyan, Robert see Stoyan, Gisbert, 92i:05210 

Trenk, Ann N. see Scheinerman, Edward R., 92i:05181 

Trotter, W.T. see Duffus, Dwight; et al., 92e:06010 and Kierstead, H. A., (92m:68005) 

Tuza, Zsolt see Caro, Yair, 92d:05116 and Rédl, Vojtéch, 92m:05117 

Vince, Andrew Recognizing the 3-sphere. 92j:57006 

Walther, Hansjoachim Imbedding of graphs into a special family of infinite graphs. 
92a:05049 

Wang, Gong Ben (with Liu, Chung Laung; Cong, Jingsheng) An extremal problem in 
colored uniform hypergraphs. 92f:05073 

Wang, Zhi Jian’ A lower bound for mixed Ramsey numbers: total chromatic number versus 
stars. 92m:05140 

Wilson, Robin James see Biggs, N. L.; et al., 92m:01062 

Xue, Jue see Balas, Egon, 92h:68069 

Zelinka, Bohdan Edge-domatic numbers of cacti. (Czech summary) 92c¢:05122 


Items listed otherwise than by author 
Bibliography: 

Ringel, Gerhard see Harborth, Heiko, 92m:01061 
Birthday: 

Ringel, Gerhard see Harborth, Heiko, 92m:01061 


05C20 Directed graphs (digraphs), tournaments 


Alon, Noga The maximum number of Hamiltonian paths in tournaments. 92a:05059 

Amar, Denise (with Raspaud, André) Covering the vertices of a digraph by cycles of 
prescribed length. 92c:05066 

Astié-Vidal, Annie (with Dugat, Vincent) 1/A-regular and 1 /A-homogeneous tournaments. 
92k:05053 

Avery, Peter Score sequences of oriented graphs. 92f:05042 

Blanton, Earle L. (with Hurd, Spencer P.; McCranie, Judson S.) On the digraph defined by 
squaring mod m, when m has primitive roots. 92j:05085 

Borowiecki, Mieczysiaw (with Michalak, Danuta) On Hallian digraphs and their binding 
number. 92b:05040 

Brightwell, Graham R. (with NeSetiil, Jaroslav) Reorientations of covering graphs. 
92¢:05067 

Brualdi, Richard A. (with Liu, Bo Lian) Fully indecomposable exponents of primitive 
matrices. 92b:05041 

Chakroun, N. (with Sotteau, D.) Chvatal-Erdés theorem for digraphs. 92e:05050 

Chen, Hang (with Schwenk, Allen J.; Erdés, Paul) Tournaments that share several common 
moments with their complements. 92j:05086 

Cheng, Zhi Qian see Yu, Wen Chi; et al., 92c:05074 

van Deemen, A. M. A. A note on generalized stable sets. 92d:05067 

Demaria, Davide Carlo (with Gianella, Gian Mario) On normal tournaments with the least 
number of 3-cycles. 92a:05060 

Deo, Narsingh (with Wilson, Tom) Division digraphs and graphs. 92k:05054 

Dugat, Vincent see Astié-Vidal, Annie, 92k:05053 

Erdés, Paul see Chen, Hang; et al., 92j:05086 

Fleischner, Herbert (with Wenger, E.) Characterizing directed postman tours. 92a:05061 

Galeana-Sanchez, H. (with Neumann Lara, Victor) Extending kernel perfect digraphs to 
kernel perfect critical digraphs. 92m:05089 

— (with Pastrana Ramirez, L.; Rincén-Mejia, Hugo Alberto) Semikernels, quasi kernels, 
and Grundy functions in the line digraph. 92c:05068 

Gargano, Michael L. (with Kennedy, John W.; Quintas, Louis V.) Irregular digraphs. 
92c:05069 


Gervacio, Severino V. Tournament score sequences. 92b:05042 

Gianella, Gian Mario see Demaria, Davide Carlo, 92a:05060 

Goddard, Wayne D. (with Kubicki, Grzegorz; Oellermann, Ortrud R.; Tian, Song Lin) On 
multipartite tournaments. 92f:05043 

Haggkvist, Roland (with Thomason, Andrew) Trees in tournaments. 92h:05060 

Hu, Zhi Xiang A new lower bound for nonexponents of primitive, ministrong digraphs. 
(Chinese. English summary) 92a:05062 

Huang, Guo Xun see Li, Jiong Sheng, 92c:05070 

Hurd, Spencer P. see Blanton, Earle L.; et al., 92j:05085 

Ibaraki, Toshihide (with Poljak, Svatopluk) Weak three-linking in Eulerian digraphs. 
92a:05063 

Jacobson, Michael S. (with Kubicka, Ewa; Kubicki, Grzegorz) Vertex-rotation numbers for 
tournaments. 92k:05055 

Kennedy, John W. see Gargano, Michael L.; et al., 92c:05069 

Knyazev, A. V. On the diameters of dichotomous graphs. (Russian) 92i:05101 

Kubicka, Ewa see Jacobson, Michael S.; et al., 92k:05055 

Kubicki, Grzegorz see Goddard, Wayne D.; et al., 92f:05043 and Jacobson, Michael S.; et al., 
92k:05055 

Lepovié, Mirko Certain results on normal digraphs. (Serbo-Croatian summary) 92h:05061 

Li, Jiong Sheng (with Huang, Guo Xun) Score vectors of tournaments. 92c¢:05070 

— Score vectors of 3-strong tournaments. (Chinese) 92f:05044 

— Non-h-strong tournaments and their score vectors. (Chinese. English summary) 
92d:05068 

Li, Qiao Some results and problems in graph theory. 92e:05051 

Lin, Guo Ning see Zhang, Fu Ji, 92c:05075 

Liu, Bo Lian see Brualdi, Richard A., 92b:05041 

Liu, Xin? Properties of k-critically n-connected digraphs. (Chinese. English summary) 
92i:05102 

La, Xiao Yun' On claws belonging to every tournament. 92h:05062 








05C20 


Ma, Tze Heng (with Spinrad, Jeremy P.) Cycle-free partial orders and chordal comparabil- 
ity graphs. 92i:05103 

Majid, Nihad Tournois libres de certains sous-tournois. (English summary) [Free tourna- 
ments of some subtournaments] 92b:05043 

Manoussakis, Manolis (with Manoussakis, Yannis) Some cyclic properties in bipartite 
digraphs with a given number of arcs. 92m:05090 

Manoussakis, Yannis see Manoussakis, Manolis, 92m:05090 

McCranie, Judson S. see Blanton, Earle L.; et al., 92j:05085 

Miao, Zheng Ke The exponent set of a primitive digraph with odd girth 3. (Chinese. English 
summary) 

Michalak, Danuta see Borowiecki, Mieczystaw, 92b:05040 

Miiller, Thomas A group-theoretical generalization of Pascal’s triangle. 92c:05071 

NeSetfil, Jaroslav see Brightwell, Graham R., 92c:05067 

Neumann Lara, Victor see Galeana-Sanchez, H., 92m:05089 

Oellermann, Ortrud R. see Goddard, Wayne D.; et al., 92f:05043 

Ouyang, Ke Zhi see Yu, Wen Chi; et al., 92c:05074 

Pastrana Ramirez, L. see Galeana-Sanchez, H.; et al., 92c:05068 

Peng, Dai Yuan Conditions for an infinite directed graph to be decomposable into a finite 
number of directed paths. (Chinese) 92f:05045 

Petrovi¢, Vojislay On unavoidable subgraphs of strong tournaments. (Serbo-Croatian 
summary) 92b:05044 

— (with Thomassen, Carsten) Kings in k-partite tournaments. 92h:05063 

Poljak, Svatopluk see Ibaraki, Toshihide, 92a:05063 

Quintas, Louis V. see Gargano, Michael L.; et al., 92c:05069 

Raspaud, André see Amar, Denise, 92c:05066 

Reid, K. Brooks Three problems on tournaments. 92c:05072 

Rincén-Mejia, Hugo Alberto see Galeana-Sanchez, H.; et al., 92c:05068 

Schwenk, Allen J. see Chen, Hang; et al., 92j:05086 

Shader, Bryan L. On tournament matrices. 92k:05056 

Shan, Zun see Wang, Edward T. H., 92g:05096 

Shi, Yong Bing Digraphs with a unique length of cycles. (Chinese. English summary) 
92h:05064 

Sotteau, D. see Chakroun, N., 92e:05050 

Spinrad, Jeremy P. see Ma, Tze Heng, 92i:05103 

Thomason, Andrew see Haggkvist, Roland, 92h:05060 

Thomassen, Carsten see Petrovi¢, Vojislav, 92h:05063 

Tian, Song Lin see Goddard, Wayne D.; et al., 92f:05043 

Tomescu, Ioan Almost all digraphs have a kernel. 92c:05073 

Vitolo, Paolo Characterizations of simply disconnected complete digraphs. 92d:05069 

Wang, Edward T. H. (with Shan, Zun) An application of number theory to tournaments. 
92g:05096 

Wenger, E. see Fleischner, Herbert, 92a:05061 

Wilson, Tom see Deo, Narsingh, 92k:05054 

Yamada, Mieko Distance-regular digraphs of girth 4 over an extension ring of Z/4Z. 
92h:05065 

Yu, Wen Chi (with Ouyang, Ke Zhi; Cheng, Zhi Qian) Some conclusions on antipodal 
digraphs. (Chinese. English summary) 92c:05074 

Zhang, Fu Ji (with Lin, Guo Ning) The complexities of digraphs. 92c:05075 

Zhou, Hui Shan Multiplicativity. I. Variations, multiplicative graphs, and digraphs. 
92j:05087a 

— Multiplicativity. II. Nonmultiplicative digraphs and characterization of oriented paths. 
92j:05087b 


Items with secondary classifications in 05C20 

Amar, Denise (with Manoussakis, Yannis) Cycles and paths of many lengths in bipartite 
digraphs. 92c:05087 

Applegate, David L. (with Cook, William J.; McCormick, S. Thomas) Integral infeasibility 
and testing total dual integrality. 92a:90068 

Avery, Peter An algorithmic proof that semiorders are representable. 92k:06011 

Ball, Michael O. (with Liu, Wei Guo!; Pulleyblank, William R.) Two-terminal Steiner tree 
polyhedra. 92h:90128 

Barrett, Wayne W. (with Jarvis, Tyler J.) Spectral properties of a matrix of Redheffer. 
92k:15037 

Bowser, Stephen (with Cable, Charles A.) Some recent results on niche graphs. 92e:05091 

Cable, Charles A. see Bowser, Stephen, 92e:05091 

Cai, Mao Cheng Restricted covering of digraphs with arborescences. 92a:05101 

Chakroun, N. (with Manoussakis, Manolis; Manoussakis, Yannis) Directed and antidi- 
rected Hamiltonian cycles and paths in bipartite graphs. 92d:05081 

Chartrand, Gary (with Tian, Song Lin) Maximum distance in digraphs. 92i:05089 

— (with Tian, Song Lin) Oriented graphs with prescribed m-center and m-median. 
921:05090 

Chernov, N.I. see Galeeva, R. F., 92k:58215 

Chung, Fan R. K. (with Graham, Ronald L.) Quasi-random tournaments. 924:05104 

Cook, William J. see Applegate, David L.; et al., 92a:90068 

Curran, Stephen J. A generalization of a theorem of Rankin. 92m:05124 

Darbinyan, S. Kh. Hamiltonian and strongly Hamilton-connected digraphs. (Russian. 
Armenian summary) 92g:05126 

— A sufficient condition for the Hamiltonicity of digraphs. (Russian. Armenian summary) 
92i:05139 

Demaria, Davide Carlo (with Guido, Cosimo) On the reconstruction of normal tourna- 
ments. 92f:05072 

van den Driessche, P. see Jeffries, Clark, 92m:39011 

Du, Ding Zhu (with Hsu, D. Frank) On Hamiltonian consecutive-d digraphs. 92b:05059 

Erdés, Paul (with Gimbel, John; Kratsch, Dieter) Some extremal results in cochromatic 
and dichromatic theory. 92i:05118 

Fiol, M. A. (with Serra, O.) Arc-colored line digraphs and their groups. 92k:20004 

Fleischner, Herbert (with Jackson, Bill) Compatible Euler tours in Eulerian digraphs. 
92e:05074 

Fujii, Junichi (with Fujii, Masatoshi; Sasaoka, Hiromitsu; Watatani, Yasuo) The spectrum 
of an infinite directed graph. 92k:05090 


COMBINATORICS 


1992 124 


Fujii, Masatoshi (with Sasaoka, Hiromitsu; Watatani, Yasuo) The numerical radius of an 
infinite directed graph. 92g:47025 

— see also Fujii, Junichi; et al., 92k:05090 

Galeeva, R. F. (with Chernov, N. I.) Conditions for the strict exponential growth of the 
number of cycles in countable directed graphs. (Russian) 92k:58215 

Gimbel, John see Erdés, Paul; et al., 92i:05118 

Graham, Ronald L. see Chung, Fan R. K., 924:05104 

Guia, Carlos (with Jackson, Bill; Ordaz, Oscar) Chvatal-Erdés condition for Hamilton 
cycles in digraphs with stability at most three. (Spanish summary) 92m:05129 

Guido, Cosimo see Demaria, Davide Carlo, 92f:05072 

Gutjahr, Wolfgang (with Welzl, Emo; Woeginger, Gerhard J.) Polynomial graph-colorings. 
92m:05081 

Hamidoune, Yahya Ould (with Llad6, A. S.; Serra, O.) Vosperian and superconnected 
abelian Cayley digraphs. 92k:05058 

Hefner, Kim A. S. (with Jones, Kathryn F.; Kim, Suh-Ryung; Lundgren, J. Richard; Roberts, 
Fred S.) (i, 7) competition graphs. 92g:05154 

Hsu, D. Frank see Du, Ding Zhu, 92b:05059 

Hwang, Frank K. A survey on double loop networks. 92¢:68004 

Ito, Noboru Nearly triply regular Hadamard designs and tournaments. 92f:05026 

Jackson, Bill (with Ordaz, Oscar) On some conjectures on Hamiltonicity in digraphs. 

— (with Ordaz, Oscar) Chvatal-Erdés conditions for paths and cycles in graphs and 
digraphs. A survey. 92c:05090 

— see also Fleischner, Herbert, 92¢:05074 and Guia, Carlos; et al., 92m:05129 

Jarvis, Tyler J. see Barrett, Wayne W., 92k:15037 

Jeffries, Clark (with van den Driessche, P.) Qualitative stability and solvability of 
difference equations. 92m:39011 

Jones, Kathryn F. see Hefner, Kim A. S.; et al., 92g:05154 

Kalyanasundaram, Bala (with Schnitger, Georg) On the power of white pebbles. 92i:68036 

Kim, Suh-Ryung see Hefner, Kim A. S.; et al., 92g:05154 

Kratsch, Dieter see Erdés, Paul; et al., 92i:05118 

Lalov, P.I. (with Vasil‘eva, T.G.) Transformation of an oriented graph for finding the k 
shortest paths. (Bulgarian. English and Russian summaries) 92m:05114 

Leont'ev, V. K. (with Sorokina,O.M.) Lengths of Hamiltonian cycles in a weighted graph. 
(Russian) 92c¢:05103 

Liu, Wei Guo! see Ball, Michael O.; et al., 92h:90128 

Liv, Xin? The connectivity of directed circulant graphs. (Chinese. English summary) 
92k:05082 

Llad6, A. S. see Hamidoune, Yahya Ould; et al., 92k:05058 

Lundgren, J. Richard see Hefner, Kim A. S.; et al., 92g:05154 

Manoussakis, Manolis see Chakroun, N.; et al., 92d:05081 

Manoussakis, Yannis Directed Hamiltonian graphs. 92m:05132 

— see also Amar, Denise, 92c:05087 and Chakroun, N.; et al., 92d:05081 

Marcu, Danut Note on k-connected digraphs. 92a:05075 

McCormick, S. Thomas see Applegate, David L.; et al., 92a:90068 

McKay, Brendan D. The asymptotic numbers of regular tournaments, Eulerian digraphs and 
Eulerian oriented graphs. 92a:05065 

Meng, Jing Hua see Zhao, Lian Chang, 92j:05123 

Nagy, Z. (with Szentmikléssy, Z.) A tournament which is not finitely representable. 
92e:04003 

Olesky, D. D. (with Slater, T. A.) A forward lower restricted ordering algorithm for 
digraphs. 92h:05129 

Ordaz, Oscar see Jackson, Bill, 92c:05090; Guia, Carlos; et al., 92m:05129 and Jackson, Bill 

Paul, Michael Joseph (with Shershin, Carmen Baytan; Shershin, Anthony Connors) Notes 
on sufficient conditions for a graph to be Hamiltonian. 92i:05142 

Ponomarenko, I. N. Recognition and testing of an isomorphism of cyclic tournaments in 
polynomial time. (Russian. English summary) 92g:05137 

Praeger, Cheryl E. On homomorphic images of edge transitive directed graphs. 92g:05098 

Pretzel, Oliver (with Youngs, Dale) Balanced graphs and noncovering graphs. 92f:06006 

Pulleyblank, William R. see Ball, Michael O.; et al., 92h:90128 

Qin, Yu Sheng Generalized paths and cycles in bipartite tournaments. (Chinese. English 
summary) 92i:05143 

Roberts, Fred S. see Hefner, Kim A. S.; et al., 92g:05154 

Sasaoka, Hiromitsu see Fujii, Masatoshi; et al., 92g:47025 and Fujii, Junichi; et al., 
92k:05090 

Schnitger, Georg see Kalyanasundaram, Bala, 92i:68036 

Serra, O. see Hamidoune, Yahya Ould; et al., 92k:05058 and Fiol, M. A., 92k:20004 

Shakhbazyan, K. V. Representation of a lattice of processes in a graph by a pair algebra. An 
isomorphism theorem. (Russian. English summary) 924:05164 

Shershin, Anthony Connors see Paul, Michael Joseph; et al., 92i:05142 

Shershin, Carmen Baytan see Paul, Michael Joseph; et al., 92i:05142 

Shirakura, Teruhiro see Tazawa, Shinsei; et al., 92g:05102 

Shrimpton, John Some groups related to the symmetry of a directed graph. 92k:05109 

Slater, T. A. see Olesky, D. D., 92h:05129 

Snijders, Tom A. B. Testing for change in a digraph at two time points. 92c:92038 

Song, Zeng Min Number of arcs and longest cycles in digraphs. 92a:05073 

— see also Zhang, Ke Min; et al., 92k:05088 

Sorokina, O. M. see Leont'ev, V. K., 92c:05103 

Szentmikléssy, Z. see Nagy, Z., 92e:04003 

Takacs, Lajos A Bernouili excursion and its various applications. 92m:60057 

Tamura, Saburo see Tazawa, Shinsei; et al., 92g:05102 

Tarandova, Raina N. On stability intervals in a parametric problem for determining the 
maximal flow magnitude in a directed cycle-free network. (Bulgarian. English summary) 
(see 92a:00041) 

Tazawa, Shinsei (with Shirakura, Teruhiro; Tamura, Saburo) Enumeration of digraphs with 
given number of vertices of odd out-degree and vertices of odd in-degree. 92g:05102 

Thomassen, Carsten Highly connected non-2-linked digraphs. 92h:05081 

Tian, Song Lin see Chartrand, Gary, 92i:05089 and 92i:05090 

Vasil'eva, T.G. see Lalev, P. I., 92m:05114 

Wallis, W. D. The lengths of trains. 92h:05103 

Wang, Jian Zhong' see Zhang, Ke Min; et al., 92k:05088 





125 1992 


Watatani, Yasuo see Fujii, Masatoshi; et al., 92g:47025 and Fujii, Junichi; et al., 92k:05090 

Welzl, Emo see Gutjahr, Wolfgang; et al., 92m:05081 

Willson, Stephen J. Iterating maps on cellular complexes. 92j:58072 

Woeginger, Gerhard J. see Gutjahr, Wolfgang; et al., 92m:05081 

Youngs, Dale see Pretzel, Oliver, 92f:06006 

Zhang, Ke Min (with Song, Zeng Min; Wang, Jian Zhong') Hamiltonian bipartite 
tournaments. (Chinese. English summary) 92k:05088 

Zhao, Lian Chang (with Meng, Jing Hua) A sufficient condition for Hamiltonian cycles in 
digraphs. 92j:05123 


05C25 Graphs and groups [see also 20F32] 


Babai, Laszlé (with Goodman, Albert J.; Lovasz, Laszl6) Graphs with given automorphism 
group and few edge orbits. 92h:05066 

Baumann, Ulrike (with Lesch, Manfred; Schmeichel, Irmgard) Automorphisms of finite 
graphs with admissible edge colourings. 92i:05104 

— (with Lesch, Manfred; Schmeichel, Irmgard) Automorphism groups of directed Cayley 
graphs. 92a:05064 

— (with Lesch, Manfred; Schmeichel, Irmgard) Remarkable groups of graphs with edge 
colourings. 92j:05088 

— Automorphisms of Cayley graphs. 92m:05091 

van Bon, John On distance-transitive graphs and involutions. 92k:05057 

Bouwer, I. Z. see Horton, J. D., 92f:05047 

Brand, Neal Isomorphisms of objects admitting elementary abelian p-group actions. 
92j:05089 

— Polynomial isomorphisms of combinatorial objects. 92d:05070 

Broere, Izak (with Hattingh, Johannes H.) The chromatic index of an abelian Cayley graph. 
92c:05076 

Burosch, Gustav (with Laborde, Jean-Marie) Aut G»,, for the Hasse graph G,,, of the 
subword poset Bm,» of an m-ary cyclic word of length n. 92b:05045 

Conder, Marston (with Morton, Margaret J.) A note on groups associated with 4-arc- 
transitive cubic graphs. 92g:05097 

Faradzhev, I. A. (with Ivanov, Aleksandr Anatol/evich) Distance-transitive representations 
of groups G with PSL2(q) 4 G4 PI'L2(q). 92e:05052 

Goodman, Albert J. see Babai, Laszlé; et al., 92h:05066 

Gu, Zheng Yu Homomorphisms and automorphisms of de Bruijn-Good graphs. (Chinese) 
92f:05046 

Halin, Rudolf Fixed configurations in graphs with small number of disjoint rays. 92h:05067 

Hamidoune, Yahya Ould (with Liad6, A. S.; Serra, O.) Vosperian and superconnected 
abelian Cayley digraphs. 92k:05058 

Hattingh, Johannes H. see Broere, Izak, 92c:05076 

Hevia, Héctor Smallest connected cubic graphs with a given cyclic group of automorphisms. 
92i:05105 

Horton, J.D. (with Bouwer, I. Z.) Symmetric Y-graphs and H-graphs. 92f:05047 

Imrich, Wilfried (with Seifter, Norbert) A survey on graphs with polynomial growth. 
92j:05090 

Ivanov, Aleksandr Anatol’evich see Faradzhev, I. A., 92e:05052 

Jung, H. A. Some results on ends and automorphisms of graphs. 92j:05091 

Kokhov, V. A. The identity number of a graph. (Russian) 92c:05077 

Laborde, Jean-Marie see Burosch, Gustav, 92b:05045 

Lesch, Manfred see Baumann, Ulrike; et al., 92a:05064; 92i:05104 and 92j:05088 

Levinson, Henry W. Cayley diagrams. 92d:05071 

Li, Nian Zu see Liu, Ru Ying; et al., 92f:05048 

Liebler, Robert A. The classification of distance-transitive graphs of type q - Kg,q. 92c:05078 

Liu, Mu Lan Automorphism groups of two-dimensional de Bruijn-Good graphs. (Chinese) 

Liu, Ru Ying (with Li, Nian Zu) Chromatic uniqueness of connected vertex-transitive 
graphs. (Chinese. English summary) 92f:05048 

Liad6, A. S. see Hamidoune, Yahya Ould; et al., 92k:05058 

Lovasz, Laszl6 see Babai, Laszl6; et al., 92h:05066 

Morton, Margaret J. Classification of 4- and 5-arc-transitive cubic graphs of small girth. 
92¢e:05053 

— Corrigendum: “Classification of 4- and 5-arc-transitive cubic graphs of small girth” [J. 
Austral. Math. Soc. Ser. A 50 (1991), no. 1, 138-149; MR 92e:05053]. 

— see also Conder, Marston, 92g:05097 

Ngo Dac Tan On cubic metacirculant graphs. 92f:05049 

Praeger, Cheryl E. On homomorphic images of edge transitive directed graphs. 92g:05098 

— On minimal symmetric automorphism groups of finite symmetric graphs. 92k:05059 

Schmeichel, Irmgard see Baumann, Ulrike; et al., 92a:05064; 92i:05104 and 92j:05088 

Seifter, Norbert Groups acting on graphs with polynomial growth. 92g:05099 

— Properties of graphs with polynomial growth. 92i:05106 

— see also Imrich, Wilfried, 92j:05090 

Serra, O. see Hamidoune, Yahya Ould; et al., 92k:05058 

Takahashi, H. On the maximum order of the automorphism group of a triconnected planar 
graph. 92¢:05079 

Thomas, Simon Reducts of the random graph. 92m:05092 

Trofimov, V.I. Vertex stabilizers of symmetric graphs. (Russian) (see 92k:20002) 

— Vertex stabilizers of graphs with projective suborbits. (Russian) 92i:05107 

Vaughan, Theresa P. Bounds for the rank of a permutation on a tree. 92k:05060 

Zhang, Hong Self-complementary symmetric graphs. 92k:05061 


Items with secondary classifications in 05C25 

Archdeacon, Dan S. (with Perkel, Manley) Constructing polygonal graphs of large girth and 
degree. 92b:05052 

Ash, C. J. Inevitable graphs: a proof of the type II conjecture and some related decision 
procedures. 92k:20114 

Balconi, Giorgio On minimal highly irregular graphs. 92g:05105 

Bertram, Edward A. (with Herzog, Marcel; Mann, Avinoam) On a graph related to 
conjugacy classes of groups. 92f:20024 

Bohme, T. A note on metric properties of infinite graphs. 92¢:05039 

Borgatti, Stephen P. see Everett, Martin G., 92c:05057 


05C Graph theory 


05C30 


Brouwer, A. E. Uniqueness and nonexistence of some graphs related to Mz. 92¢:05092 

Chao, Chong-Yun (with Dong, Chun Fei) On a class of identity graphs. 92g:05153 

Conder, Marston Experimental algebra. 92k:20007 

Cooperman, G. (with Finkelstein, Larry A.; Sarawagi, N.) Applications of Cayley graphs. 
92f:68134 

Curran, Stephen J. A generalization of a theorem of Rankin. 92m:05124 

Dong, Chun Fei see Chao, Chong-Yun, 92g:05153 

Droste, Manfred (with Macpherson, Dugald) On k-homogeneous posets and graphs. 
92¢:03049 

Everett, Martin G. (with Borgatti, Stephen P.) Role colouring a graph. 92c:05057 

Fang, Za Yao Rotation numbers for a class of rooted graphs. 92d:05133 

Finkelstein, Larry A. see Cooperman, G.,; et al., 92f:68134 

Fiol, M. A. (with Serra,O.) Arc-colored line digraphs and their groups. 92k:20004 

Hamidoune, Yahya Ould On the subsets product in finite groups. 92k:20040 

Herzog, Marcel see Bertram, Edward A.; et al., 92f:20024 

Hoffman, Frederick (with Locke, S. C.; Meyerowitz, A.D.) A note on cycle double covers in 
Cayley graphs. 92g:05145 

Huang, Yi Xiu On Hamiltonian decompositions of Cayley graphs on cyclic groups. 
92:05067 

Klin, M. Kh. (with Trach, S. S.; Zefirov, N. S.) Group-theoretical approach to the 
investigation of reaction graphs for highly degenerate rearrangements of chemical 
compounds. I. Criterion of the connectivity of a graph. 92g:92029 

— (with Zefirov, N. S.) Group theoretical approach to the investigation of reaction graphs 
for highly degenerate rearrangements of chemical compounds. II. Fundamental concepts. 
92m:92024 

Kocay, William A relation between the Fano plane and the Petersen graph. 

Locke, S.C. see Hoffman, Frederick; et al., 92g:05145 

Macpherson, Dugald see Droste, Manfred, 92e:03049 

Mann, Avinoam see Bertram, Edward A.; et al., 92f:20024 

McAvaney, K. L. An edge automorphism characterisation of n-cubes. 92m:05159 

Meyerowitz, A. D. see Hoffman, Frederick; et al., 92g:05145 

Montpetit, André Une généralisation d’un théoréme de Delsarte dans les graphes de 
Cayley. (English summary) [A generalization to Cayley graphs of a theorem of Delsarte] 
92m:05206 

Miiller, Thomas A group-theoretical generalization of Pascal’s triangle. 92c:05071 

Nochefranca, Luz R. On an infinite class of nonbipartite and non-Cayley graphs having 2-arc 
transitive automorphism groups. 92k:20005 

Parry, Walter Growth series of some wreath products. 92h:20061 

Perkel, Manley see Archdeacon, Dan S., 92b:05052 

Piazza, B. L. (with Ringeisen, Richard D.) Connectivity of generalized prisms over G. 
92c:05096 

Ramras, Mark Symmetric vertex partitions of hypercubes by isometric trees. 92m:05152 

Ringeisen, Richard D. see Piazza, B. L., 92c:05096 

Ruiz, Mari-Jo P. Component factorability of point-color-symmetric graphs. 92j:05143 

Sarawagi, N. see Cooperman, G.; et al., 92f:68134 

Serra, O. see Fiol, M. A., 92k:20004 

Siemon, Helmut Cyclic Steiner quadruple systems and Kohler’s orbit graphs. 92:05020 

Skopin, A. I. Graphic construction of a collecting formula for some types of graphs. 
(Russian) 924:20042 

Stallings, John R. Foldings of G-trees. 92g:20040 

Trach, S.S. see Klin, M. Kh.; et al., 92g:92029 

Voss, Heinz-Jiirgen Groups and triangulations of oriented surfaces. 92a:20036 

V’yalitsin, A. A. Enumeration of Hamiltonian cycles. (Russian) 92k:05063 

Zefirov, N.S. see Klin, M. Kh.; et al., 92g:92029 and 92m:92024 


05C30 Enumeration of graphs and maps 


Alon, Noga The number of spanning trees in regular graphs. 92j:05092 

Bender, Edward A. (with Canfield, E. Rodney; McKay, Brendan D.) The asymptotic 
number of labeled connected graphs with a given number of vertices and edges. 92i:05108 

— Some unsolved problems in map enumeration. 

— (with Canfield, E. Rodney) The number of rooted maps on an orientable surface. 
92g:05100 

Canfield, E. Rodney Calculating the number of rooted maps on a surface. 92i:05109 

— see also Bender, Edward A., 92g:05100 and 92i:05108 

Cater, Steven C. (with Robinson, Robert W.) Exponents of 2 in the numbers of unlabeled 
graphs and tournaments. 92k:05062 

Gao, Zhi-Cheng The number of rooted 2-connected triangular maps on the projective plane. 
92g:05101 

— The number of rooted triangular maps on a surface. 92h:05068 

— The asymptotic number of rooted 2-connected triangular maps on a surface. 92m:05093 

Hajnal, Andrés (with Nagy, Z.; Soukup, Lajos) On the number of certain subgraphs of 
graphs without large cliques and independent subsets. 92m:05094 

Liu, Bo Lian (with Zhang, Xian Kun) On the enumeration of labeled graphs with k cycles. 
(Chinese summary) 92j:05093 

Mahmoud, Hosam M. (with Smythe, R. T.) On the distribution of leaves in rooted subtrees 
of recursive trees. 92i:05110 

McKay, Brendan D. The asymptotic numbers of regular tournaments, Eulerian digraphs and 
Eulerian oriented graphs. 92a:05065 

— see also Bender, Edward A.,; et al., 92i:05108 

Nagy, Z. see Hajnal, Andras; et al., 92m:05094 

Piazza, B. L. (with Stueckle, S. K.) A note on the enumeration of bicyclic graphs. 92f:05050 

Robinson, Robert W. see Cater, Steven C., 92k:05062 

Shirakura, Teruhiro see Tazawa, Shinsei; et al., 92g:05102 

Smythe, R.T. see Mahmoud, Hosam M.., 92i:05110 

Soukup, Lajos see Hajnal, Andras; et al., 92m:05094 

Stueckle, S. K. see Piazza, B. L., 92f:05050 

Tamura, Saburo see Tazawa, Shinsei; et al., 92g:05102 

Tazawa, Shinsei (with Shirakura, Teruhiro; Tamura, Saburo) Enumeration of digraphs with 
given number of vertices of odd out-degree and vertices of odd in-degree. 92g:05102 








05C30 


Voblyi, V. A. Enumeration of labeled connected homeomorphically irreducible graphs. 
(Russian) 92j:05094 

Vyalitsin, A. A. Enumeration of Hamiltonian cycles. (Russian) 92k:05063 

Zhang, Xian Kun see Liu, Bo Lian; et al., 92j:05093 


Items with secondary classifications in 05C30 


Acketa, Dragan M. (with To3i¢, Ratko) A branch-and-bound technique for counting 
nonisomorphic hexagonal systems. 92c:05006 

Ahlswede, Rudolf (with Cai, Ning; Zhang, Zhen) A recursive bound for the number of 
complete K-subgraphs of a graph. 92b:05035 

Alexandru T. Chemical graphs. L. Symmetry and enumeration of fibonacenes (un- 

branched catacondensed benzenoids isoarithmic with helicenes and zigzag catafusenes). 
92m:92021 

Barroso, Magali M. A. see Szwarcfiter, Jayme L., 92h:05131 

Bergeron, Francois (with Labelle, Gilbert; Leroux, P.) Computation of the expected 
number of leaves in a tree having a given automorphism, and related topics. 92h:05036 

Brown, T. J. N. (with Mallion, R. B.; Pollak, P.; de Castro, Branca R. M.; Gomes, J. A. N. 
F.) The number of spanning trees in buckminsterfullerene. 

Brummelhuis, M. J. A.M. (with Kuijf, H.) Enumeration of externally labelled trees. 
92g:81132 

Cai, Ning see Ahiswede, Rudolf; et al., 92b:05035 

Cao, Ru Cheng Enumeration of identity rooted trees and identity trees with given numbers 
of leaves. (Chinese. English summary) 92a:05008 

de Castro, Branca R. M. see Brown, T. J. N.; et al. 

Flajolet, Philippe (with Soria, M.) The cycle construction. 92j:05005 

— (with Salvy, Bruno; Zimmermann, Paul) Automatic average-case analysis of algorithms. 
92k:68049 

Fujita, Shinsaku Enumeration of organic reactions by counting substructures of imaginary 
transition structures. Importance of orbits governed by coset representations. 92e:92026 

Goldberg, Leslie Ann Efficient algorithms for listing unlabeled graphs. 92m:05181 

Gomes, J. A. N. F. see Brown, T. J. N.; et al. 

Hager, R. (with Kerber, Adalbert; Laue, R.; Moser, D.; Weber, Wolfgang Peter) Construc- 
tion of orbit representatives. 92b:20005 

Kerber, Adalbert see Hager, R.; et al., 92b:20005 

Klein, D. J. Comment on average Kekulé-structure counts for random conjugated 
copolymers. 92g:92028 

Klin, M. Kh. (with Lebedev, O. V.; Pivina, T. S.) Enumeration of cycles of maximal length 
in graphs that correspond to structural formulas of a homological series of polycyclic 
unions of spanning tree type. (Russian) 92f:92039 

Kuijf, H. see Brummelhuis, M. J. A. M., 92g:81132 

Kwak, Jin Ho (with Lee, Jaeun) Isomorphism classes of graph bundles. 92a:05094 

Labelle, Gilbert see Bergeron, Francois; et al., 92h:05036 

Laue, R. see Hager, R.; et al., 92b:20005 

Lebedev, O. V. see Klin, M. Kh.; et al., 92f:92039 

Lee, Jaeun see Kwak, Jin Ho, 92a:05094 

Lee, Sang H. (with White, Arthur T.) Random topological graph theory. 92g:05081 

Leroux, P. see Bergeron, Francois; et al., 92h:05036 

Liu, Bo Lian Some combinatorial problems for directed trees. (Chinese) 92i:05018 

Liu, Jiu Qiang (with Schwenk, Allen J.) The number of multicolored trees in acyclic 
multiclique decompositions. 92j:05053 

Liu, Wei-Ping (with Rival, [_van) Enumerating orientations of ordered sets. 92m:06011 

Mallion, R. B. see Brown, T. J. N.; et al. 

McDiarmid, Colin (with Reed, Bruce) Linear arboricity of random regular graphs. 
92m:05173 

Mizoguchi, Noriyuki Hiickel and Mébius cyclic conjugated molecules. 92f:92041 

Moser, D. see Hager, R.; et al., 92b:20005 

Nikoli¢, Sonja (with Plavsic, Dejan; Trinajstié, Nenad) On the Z-counting polynomial for 
edge-weighted graphs. 

Pivina, T.S. see Klin, M. Kh.; et al., 92f:92039 

Plavsi¢é, Dejan see Nikoli¢, Sonja; et al. 

Pollak, P. see Brown, T. J. N.; et al. 

Popescu, Dragos Cycles in signed graphs. (Romanian. French summary) 92j:05114 

Proémel, Hans Jiirgen (with Steger, Angelika) Excluding induced subgraphs: quadrilaterals. 
92j:05157 

Reed, Bruce see McDiarmid, Colin, 92m:05173 

Rival, Ivan see Liu, Wei-Ping, 92m:06011 

Salvy, Bruno see Flajolet, Philippe; et al., 92k:68049 

Schwenk, Allen J. see Liu, Jiu Qiang, 92j:05053 

Soria, M. see Flajolet, Philippe, 92j:05005 

Stahl, Saul Region distributions of some small diameter graphs. 92h:05049 

— Permutation-partition pairs. III. Embedding distributions of linear families of graphs. 


Stanley, Richard P. A zonotope associated with graphical degree sequences. 92k:52020 

Steger, Angelika see Prémel, Hans Jiirgen, 92j:05157 

Szwarcfiter, Jayme L. (with Barroso, Magali M. A.) Enumerating the maximal cliques of a 
circle graph. 92h:05131 

Todi¢, Ratko see Acketa, Dragan M., 92c:05006 

Trinajsti¢, Nenad see Nikoli¢, Sonja; et al. 

Wang, Tian Ming (with Yang, Li Min) Enumeration of ideal subgraphs. 92h:05104 

Weber, Wolfgang Peter see Hager, R.; et al., 92b:20005 

White, Arthur T. see Lee, Sang H., 92g:05081 

Yang, Li Min see Wang, Tian Ming, 92h:05104 

Zhang, Zhen see Ahiswede, Rudolf; et al., 92b:05035 

Zimmermann, Paul see Flajolet, Philippe; et al., 92k:68049 


05C35 Extremal problems [see also 90C35] 


Abbott, H. L. (with Zhou, Bing) The edge density of 4-critical planar graphs. 92i:05111 
— (with Katchalski, M.) On the construction of snake in the box codes. 92i:05112 
Achuthan, N. R. see Achuthan, Nirmala; et al., 92h:05069 


COMBINATORICS 1992 126 


Achuthan, Nirmala (with Achuthan, N. R.; Caccetta, L.) On the Nordhaus-Gaddum class 
problems. 92h:05069 

Aigner, Martin (with Triesch, Eberhard) Searching for subgraphs. 92g:05103 

Alavi, Yousef (with Lick, Don R.; McKee, Terry A.) Highly irregular multitrees. 92m:05095 

— (with Green, David, Jr.; Liu, Jiu Qiang; Wang, Jian Fang) On linear vertex-arboricity of 
graphs. 92j:05095 

Albertson, Michael O. (with Berman, David M.) The number of cut-vertices in a graph of 
given minimum degree. 92a:05066 

Anderson, Charles A. (with Jones, Kathryn F.; Lundgren, J. Richard; Seager, Suzanne) A 
suggestion for new niche numbers for graphs. 92j:05096 

Bagga, Kunwarjit S. (with Varma, Badri N.) Bipartite graphs and degree conditions. 
92g:05104 

Balconi, Giorgio On minimal highly irregular graphs. 92g:05105 

Beineke, Lowell W. (with Goddard, Wayne D.; Hamburger, Peter; Kleitman, Daniel J.; 
Lipman, Marc J.; Pippert, Raymond E.) The integrity of the cube is small. 92d:05072 

Bell, F. K. A note on the irregularity of graphs. 92m:05096 

Berman, David M. see Albertson, Michael O., 922:05066 

Bhasker, J. (with Samad, Tariq) The clique-partitioning problem. 92i:05113 

Bialostocki, A. (with Dierker, P.) An isoperimetric lemma. 92h:05070 

Bondy, J. A. (with Fan, Geng Hua) Cycles in weighted graphs. 92k:05064 

Budayasa, K. (with Caccetta, L.) On critically k-edge-connected graphs. 92i:05114 

Caccetta, L. (with Purwanto) Deficiencies and vertex clique covering numbers of a family 
of trees. 92f:05051 

— (with Vijayan, Kaipillil) Maximal cycles in graphs. 92j:05097 

— see also Achuthan, Nirmala; et al., 92h:05069 and Budayasa, K., 92i:05114 

Cammack, L. A. (with Schelp, R. H.; Schrag, G. C.) Irregularity strength of full d-ary trees. 
92k:05065 

Campbell, Connie (with Staton, William) On extremal regular graphs with given odd girth. 
92)j:05098 

Cao, Da Song see Chen, Jian Sheng; et al., 92k:05066 

Card, P. K. (with Faudree, Ralph J.; Wong, C. M.) Extremal problems and the diameter of 
deleted graphs. 92i:05115 

Caro, Yair (with Tuza, Zsolt) Improved lower bounds on k-independence. 92c:05080 

Carrington, Julie R. (with Harary, Frank; Haynes, Teresa W.) Changing and unchanging the 
domination number of a graph. 92c:05081 

Chen, Jian Sheng (with Cao, Da Song) The bound on forest spectra. (Chinese summary) 
92k:05066 

Clark, L. H. (with Entringer, R. C.; McCanna, Joseph; Székely, L.A.) Extremal problems 
for local properties of graphs. 92g:05106 

Cockayne, E. J. (with Favaron, O.; Li, Hao'; MacGillivray, Gary) The product of the 
independent domination numbers of a graph and its complement. 92¢:05054 

— (with Mynhardt, C. M.) Independence and domination in 3-connected cubic graphs. 
92g:05107 

— (with MacGillivray, Gary; Mynhardt, C. M.) Convexity of minimal dominating functions 
and universals of graphs. 92m:05097 

Damaschke, Peter Irredundance number versus domination number. 92c:05082 

Dang, Kai Qian Circumferences of k-regular 2-connected K,,3-free graphs. (Chinese. 
English summary) 92k:05067 

Dean, Alice M. (with Hutchinson, Joan P.; Scheinerman, Edward R.) On the thickness and 
arboricity of a graph. 92c:05083 

Dejter, Italo J. (with Guan, Puhua) Square-blocking edge subsets in hypercubes and vertex 
avoidance. 92g:05108 

Deng, Xiao Tie see Zhu, Yong Jin; et al., 92f:05055 

Dierker, P. see Bialostocki, A., 92h:05070 

Ding, Guoli Covering the edges with consecutive sets. 92j:05099 

Doty, Lynne L. A large class of maximally tough graphs. 92i:05116 

El-Mallah, Ehab S. (with Stewart, Lorna K.) Domination in polygon graphs. 92i:05117 

El-Zahar, M. (with Pareek, Chandra Mohan) Domination number of products of graphs. 
92b:05046 

Entringer, R.C. see Clark, L. H.; et al., 92g:05106 

Era, Hiroshi (with Urabe, Masatsugu) On the k-independent sets of graphs. 92m:05098 

Erdés, Paul (with Faudree, Ralph J.; Schelp, R. H.; Simonovits, Miklés) An extremal result 
for paths. 92k:05068 

— (with Gimbel, John; Kratsch, Dieter) Some extremal results in cochromatic and 
dichromatic theory. 92i:05118 

Fan, Cong (with Liu, Jiu Qiang) On cliques of graphs. 92i:05119 

Fan, Geng Hua see Bondy, J. A., 92k:05064 

Faudree, Ralph J. (with Schelp, R. H.; Shreve, W. E.) The domination number for the 
product of graphs. 92j:05100 

— (with Jacobson, Michael S.; Kinch, Lael; Lehel, Jené) Irregularity strength of dense 
graphs. 92h:05071 

— see also Card, P. K.; et al., 92i:05115 and Erdés, Paul; et al., 92k:05068 

Favaron, O. (with Mahéo, M.; Saclé, J. F.) On the residue of a graph. 92d:05073 

— see also Cockayne, E. J.; et al., 92e:05054 

Fisher, David C. (with Nonis, Jason M.) Bounds on the “growth factor” of a graph. 
92i:05120 

Fricke, Gerd H. (with Hare, Eleanor O.; Jacobs, David Pokrass; Majumdar, Aniket) On 
integral and fractional total domination. 92i:05121 

Firedi, Zoltén Competition graphs and clique dimensions. 92k:05069 

— Ona Turan type problem of Erdés. 92¢:05055 

— (with Reimer, Dave; Seress, Akos) Hajnal’s triangle-free game and extremal graph 
problems. 92k:05070 

Gimbel, John see Erdés, Paul; et al., 92i:05118 

Goddard, Wayne D. see Beineke, Lowell W.; et al., 92d:05072 

Golovach, P. A. Search number, node-search number ana the vertex separator of a graph. 
(Russian. English summary) 92g:05109 

Green, David, Jr. see Alavi, Yousef; et al., 92j:05095 

Guan, Puhua see Dejter, Italo J., 92g:05108 

Gyéri, Ervin (with Pach, Janos; Simonovits, Miklés) On the maximal number of certain 
subgraphs in K,-free graphs. 92a:05067 





127 1992 


Hamburger, Peter see Beineke, Lowell W.; et al., 92d:05072 

Hamilton, G. M. (with Hilton, Anthony J. W.) Graphs of maximum degree 3 and order at 
most 16 which are critical with respect to the total chromatic number. 92g:05110 

Harant, Jochen An upper bound for the radius of a 3-connected planar graph with bounded 
faces. 92m:05099 

Harary, Frank see Carrington, Julie R.; et al., 92c:05081 

Harborth, Heiko Plane four-regular graphs with vertex-to-vertex unit triangles. 92j:05101 

Hare, Eleanor O. see Fricke, Gerd H.; et al., 92i:05121 

Hartnell, Bert L. (with Rall, Douglas F.) On Vizing’s conjecture. 92k:05071 

Haviland, Julie On minimum maximal independent sets of a graph. 92i:05122 

— (with Thomason, Andrew) Rotation numbers for complete tripartite graphs. 92g:05111 

— (with Thomason, Andrew) Rotation numbers for complete bipartite graphs. 92m:05100 

Haynes, Teresa W. see Carrington, Julie R.; et al., 92c:05081 

Hedetniemi, Sandra M. (with Hedetniemi, Stephen T.; Jacobs, David Pokrass) Private 
domination: theory and algorithms. 92i:05123 

Hedetniemi, Stephen T. see Hedetniemi, Sandra M.; et al., 92i:05123 and McRae, A.., 
92m:05103 

Henning, Michael A. K,,-domination sequences of graphs. 92i:05124 

Hilton, Anthony J. W. see Hamilton, G. M., 92g:05110 

Hou, Min A class of nearly optimal circulant graphs: {cp(m, m + 1, p/a)}. (Chinese. English 
summary) 92j:05102 

Hutchinson, Joan P. see Dean, Alice M.; et al., 92c:05083 

Ivanov, A. O. (with Tuzhilin, Aleksei Avgustinovich) Solution of the Steiner problem for 
convex boundaries. (Russian) 92¢e:05056 

Jacobs, David Pokrass see Fricke, Gerd H.; et al., 92i:05121 and Hedetniemi, Sandra M.; et 
al., 92i:05123 

Jacobson, Michael S. see Faudree, Ralph J.; et al., 92h:05071 

Jayaram, S. R. (with Kwong, Y. H. Harris; Straight, H. Joseph) Neighbourhood sets in 
graphs. 92b:05047 

Johnson, Karen Anne A hypercube problem. 92b:05048 

Jones, Kathryn F. see Anderson, Charles A.; et al., 92j:05096 

Jorgensen, L. K. (with Pyber, L.) Covering a graph by topological complete subgraphs. 
92b:05049 

Kainen, Paul C. Upper bound for linear arboricity. 92m:05101 

Katchalski, M. see Abbott, H. L., 92i:05112 

Kézdy, André E. (with McGuinness, Patrick J.) Do 3n — 5 edges force a subdivision of Ks? 
92£:05052 

Kinch, Lael see Faudree, Ralph J.; et al., 92h:05071 

Kleitman, Daniel J. see Beineke, Lowell W.; et al., 92d:05072 

Knyazev, A. V. Upper bounds on exponents of pseudosymmetric graphs. (Russian) 
92e:05057 

Koester, Gerhard On 4-critical planar graphs with high edge density. 92m:05102 

Kok, J. (with Mynhardt, C.M.) Reinforcement in graphs. 92i:05125 

Kostochka, A. V. Sequences of dominating sets. 92d:05074 

Kratsch, Dieter see Erdés, Paul; et al., 92i:05118 

Kubicki, Grzegorz Greatest common subgraph index of graphs. 92i:05126 

Kalli, V.R. On n-total domination number in graphs. 92g:05112 

Kwong, Y. H. Harris see Jayaram, S. R.; et al., 92b:05047 

Lehel, Jené see Faudree, Ralph J.; et al., 92h:05071 

Li, Hao! see Cockayne, E. J.; et al., 92e:05054 

Lick, Don R. see Alavi, Yousef; et al., 92m:05095 

Lipman, Marc J. see Beineke, Lowell W.; et al., 92d:05072 

Liu, Jiu Qiang see Fan, Cong, 92i:05119 and Alavi, Yousef; et al., 92j:05095 

Lundgren, J. Richard see Anderson, Charles A.; et al., 92j:05096 

MacGillivray, Gary see Cockayne, E. J.; et al., 92e:05054 and 92m:05097 

Maehara, Hiroshi Independent balls and unit neighborhood graphs. 92j:05103 

Mahéo, M. see Favaron, O.; et al., 92d:05073 

Majumdar, Aniket see Fricke, Gerd H.; et al., 92i:05121 

Mao, Lin Fan The maximum size of r-partite subgraphs of a K>-free graph. 92a:05068 

Marcu, Danut Note sur la conjecture d’Abelson et Rosenberg. (English summary) [Note on 
the Abelson-Rosenberg conjecture] 92a:05069 

McCanna, Joseph see Clark, L. H.; et al., 92g:05106 

McGuinness, Patrick J. see Kézdy, André E., 92f:05052 

McKee, Terry A. see Alavi, Yousef; et al., 92m:05095 

McRae, A. (with Hedetniemi, Stephen T.) Finding n-independent dominating sets. 
92m:05103 

Murphy, Owen J. Lower bounds on the stability number of graphs computed in terms of 
degrees. 92k:05072 

Mynhardt, C. M. see Cockayne, E. J., 92g:05107; Kok, J., 92i:05125 and Cockayne, E. J.; et 
al., 92m:05097 

Nedela, Roman On a problem from extremal graph theory. (Russian and Slovak summaries) 
92a:05070 

Nel, Louis Daniel? (with Zhang, Fan) Selecting s, t-cutsets for edge-packing-based 
reliability bounds. 92h:05072 

Nonis, Jason M. see Fisher, David C., 92i:05120 

Ouyang, Ke Zhi see Zhang, Jian Xun; et al., 92f:05054 

Pach, Janos see Gyéri, Ervin; et al., 92a:05067 

Pareek, Chandra Mohan see El-Zahar, M., 92b:05046 

Piazza, B. L. see Ringeisen, Richard D.; et al., 92c:05084 

Pippert, Raymond E. sce Beineke, Lowell W.; et al., 92d:05072 

Polat, Norbert A Mengerian theorem for infinite graphs with ideal points. 92¢:05058 

Purwanto see Caccetta, L., 92f:05051 

Pyber, L. see Jorgensen, L. K., 92b:05049 

Radziszowski, Stanislaw P. see Zou, Jing, 92h:05074 

Rall, Douglas F. Dominating a graph and its complement. 92g:05113 

— see also Hartnell, Bert L., 92k:05071 

Rees, Rolf (with Wallis, W.D.) The spectrum of maximal sets of one-factors. 92j:051u4 

Reimer, Dave see Firedi, Zoltan; et al., 92k:05070 

Ringeisen, Richard D. (with Stueckle, S. K.; Piazza, B. L.) Subgraphs and bounds on 
maximum crossings. 


05C Graph theory 


05C35 


Rowlinson, Peter see Yang, Yuan Sheng, 92m:05107 

Rubinstein, J. H. (with Thomas, D. A.) Graham’s problem on shortest networks for points 
onacircle. 92m:05104 

Saclé, J. F. see Favaron, O.; et al., 92d:05073 

Samad, Tariq see Bhasker, J., 92i:05113 

Sanchis, Laura A. Maximum number of edges in connected graphs with a given domination 
number. 92£:05053 

Scheinerman, Edward R. see Dean, Alice M.; et al., 92c:05083 

Schelp, R. H. see Faudree, Ralph J.; et al., 92j:05100; Cammack, L. A.; et al., 92k:05065 and 
Erdés, Paul; et al., 92k:05068 

Schrag, G.C. see Cammack, L. A.; et al., 92k:05065 

Seager, Suzanne see Anderson, Charles A.; et al., 92j:05096 

Seress, Akos see Fiiredi, Zoltan; et al., 92k:05070 

Shearer, James B. A note on the independence number of triangle-free graphs. II. 
92k:05073 

— A note on bipartite subgraphs of triangle-free graphs. 92j:05105 

Sheehan, John Balanced graphs with edge density constraints. 92d:05075 

Shi, Lin’ The relation between the diameter and the order of a harmonic equilibrium graph. 
(Chinese. English summary) 92j:05106 

Shi, Yong Bing The number of edges in a maximum 2-connected simple graph with unique 
length of cycles. (Chinese. English summary) 92j:05107 

Shreve, W. E. see Faudree, Ralph J.; et al., 92j:05100 

Simonovits, Miklés see Gyéri, Ervin; et al., 92a:05067 and Erdés, Paul; et al., 92k:05068 

Skupiesi, Zdzislaw On tough maximally non-Hamiltonian graphs. (Russian summary) 
92h:05073 

Smith, MacGregor see Winter, Pawel, 92k:05074 

Spencer, Joel H. The probabilistic lens: Sperner, Turan and Bregman revisited. 92i:05127 

Staton, William see Campbell, Connie, 92j:05098 

Stewart, Lorna K. see El-Mallah, Ehab S., 92i:05117 

Stiebitz, Michael On Hadwiger numbers of a graph and its complement. 92m:05105 

Straight, H. Joseph see Jayaram, S. R.; et al., 92b:05047 

Stueckle, S. K. see Ringeisen, Richard D.; et al., 92c:05084 

Sun, Zhi Hong A class of problems of Turan type. (Chinese. English summary) 92m:05106 

Székely, L. A. see Clark, L. H.; et al., 92g:05106 

Thomas, D. A. see Rubinstein, J. H., 92m:05104 

Thomason, Andrew see Haviland, Julie, 92g:05111 and 92m:05100 

Tian, Feng see Zhu, Yong Jin; et al., 92f:05055 

Topp, Jerzy (with Volkmann, Lutz) On graphs with equal domination and independent 
domination numbers. 92i:05128 

Triesch, Eberhard see Aigner, Martin, 92g:05103 

Trubin, V. A. Network uniformity deficit and its reduction. (Russian) 92g:05114 

Tuza, Zsolt A conjecture on triangles of graphs. 92j:05108 

— Perfect graph decompositions. 924:05076 

— see also Caro, Yair, 92c:05080 

Tuzhilin, Aleksei Avgustinovich see Ivanov, A. O., 92¢:05056 

Urabe, Masatsugu see Era, Hiroshi, 92m:05098 

Varma, Badri N. see Bagga, Kunwarjit S., 92g:05104 

Venkatesan, Shankar M. On cleaving a planar graph. 92a:05071 

Vijayan, Kaipillil see Caccetta, L., 92j:05097 

Volkmann, Lutz see Topp, Jerzy, 92i:05128 

Wallis, W. D. see Rees, Rolf, 92j:05104 

Wang, Gui Fang Maximal graphs with at most two edge-disjoint cycles. (Chinese. English 
summary) 92e:05059 

Wang, Jian Fang (with Zhang, Zhong Fu) Another class of relations for independence 
numbers. (Chinese. English summary) 92i:05129 

— see also Alavi, Yousef; et al., 92j:05095 

Wenger, R. Extremal graphs with no C*’s, C®’s, or C's. 92¢:05085 

Winter, Pawel (with Smith, MacGregor) Path-distance heuristics for the Steiner problem in 
undirected networks. 92k:05074 

Wong, C. M. see Card, P. K.; et al., 92i:05115 

Wu, Run Heng Characteristics of maximum critically h-connected graphs of order n when 
h > n/2. (Chinese. English summary) 92d:05077 

Xu, Jin On breaktivity of a graph. I. (Chinese. English summary) 

Xu, Jun Ming On the maximum number of edges of critically h-edge connected graphs 
and the structure of the largest such graphs. II. Properties of critically h-edge connected 
graphs and a characterization of the family of maximal critically 3-edge connected graphs. 
(Chinese. English summary) 

— The maximum size of critically h-edge-connected graphs with index number h + 1. 
(Chinese. English summary) 92b:05050 

Yang, Yuan Sheng (with Rowlinson, Peter) On extremal graphs without four-cycles. 
92m:05107 

Zelinka, Bohdan Domination in cubic graphs. 92g:05115 

— Regular totally domatically full graphs. 92¢:05060 

— Distances between rooted trees. (Czech summary) 92e:05061 

— Domination in cubes. 92d:05078 

Zhang, Fan see Nel, Louis Daniel”, 92h:05072 

Zhang, Jian Xun (with Zhang, Zhong Fu; Ouyang, Ke Zhi) The edge-binding number of a 
graph. (Chinese. English summary) 92f:05054 

Zhang, Zhong Fu see Zhang, Jian Xun; et al., 92f:05054 and Wang, Jian Fang; et al., 
92i:05129 

Zhou, Bing A Turan-type problem on 3-graphs. 92b:05051 

— see also Abbott, H. L., 92i:05111 

Zhu, Qing Chuan The structure of a-critical graphs with |V(G)| — 2a(G) = 3. 92¢:05062 

Zhu, Yong Jin (with Tian, Feng; Deng, Xiao Tie) More powerful closure operations on 
graphs. 92f:05055 

Zou, Jing (with Radziszowski, Stanislaw P.) The number of edges in minimum (K3, Kp — 
e,n)-good graphs. 92h:05074 

Zverovich, I. E. (with Zverovich, V. E.) A note on domatically critical and cocritical graphs. 
92c:05086 





05C35 


Zverovich, V. E. Criticality and inequalities in the theory of graph domination. (Russian. 
English summary) 92a:05072 
— see also Zverovich, I. E., 92c:05086 


Items with secondary classifications in 05C35 

Abbott, H. L. (with Katchalski, M.) Further results on snakes in powers of complete graphs. 
92i:05131 

Acharya, B. D. Interrelations among the notions of independence, domination and full sets 
in a hypergraph. 92c:05113 

Ahlfeld, Uwe (with Hecker, Hans-Dietrich) Guard graphs in polygons. 92g:52012 

Ahuja, Ravindra K. (with Mehlhorn, Kurt; Orlin, James B.; Tarjan, Robert E.) Faster 
algorithms for the shortest path problem. 92¢:68063 

Aldred, R. E. L. (with Hemminger, Robert L.; Holton, Derek Allan) A dual concept of 
connectivity in planar graphs. 92k:05080 

Alon, Noga (with McDiarmid, Colin; Reed, Bruce) Acyclic coloring of graphs. 92¢:05043 

Amar, Denise (with Flandrin, E.; Fournier, I.; Germa, A.) Pancyclism in Hamiltonian 
graphs. 92¢:05099 

Bartha, Miklés (with Gombas, Eva) A structure theorem for maximum internal matchings 
in graphs. 92m:05143 

Bauer, Douglas (with Jung, H. A.; Schmeichel, Edward) On 2-connected graphs with small 
circumference. 92g:05117 

Berman, Abraham (with Kotzig, Anton; Sabidussi, Gert) Antipodal graphs of diameter 4 
and extremal girth. 92f:05081 

Bermond, Jean-Claude (with Bond, J.) Combinatorial designs and hypergraphs of diameter 
one. 92£:05033 

Bodendiek, Rainer (with Wagner, Klaus') On the minimal basis of the spindle-surface 6). 
924:05051 

Bollobas, Béla (with Leader, Imre) Edge-isoperimetric inequalities in the grid. 92m:51042 

Bond, J. see Bermond, Jean-Claude, 92f:05033 

Bondy, J. A. Small cycle double covers of graphs. 92e:05063 

Bouchet, André x-transformations, local complementations and switching. 92a:05082 

Bousba, Choaib (with Wolsey, Laurence A.) Finding minimum cost directed trees with 
demands and capacities. 92h:90047 

Bowser, Stephen (with Cable, Charles A.) Some recent results on niche graphs. 92¢:05091 

Brandstadt, Andreas On the domination problem for bipartite graphs. 92d:05151 

Brigham, Robert C. (with Dutton, Ronald D.) A compilation of relations between graph 
invariants. Supplement I. 92j:05001 

— see also Carrington, Julie R., 92j:05133 

Brochet, J.-M. (with Pouzet, Maurice) Two extremal problems in infinite ordered sets and 
graphs: infinite versions of Menger and Gallai-Milgram theorems for ordered sets and 
graphs. 92k:06004 

Bryant, Roy D. (with Fredricksen, Harold) Covering the de Bruijn graph. 92h:05092 

Burkard, Rainer E. (with Van der Veen, J. A. A.) Universal conditions for algebraic 
travelling salesman problems to be efficiently solvable. 92g:90130 

Burosch, Gustav (with Gronau, Hans-Dietrich O. F.; NeSetril, Jaroslav) Minimal uniquely 
colourable hypergraphs. 92h:05090 

Cable, Charles A. see Bowser, Stephen, 92¢:05091 

Caccetta, L. (with Vijayan, Kaipillil) Minimal graphs with prescribed vertex independence 
and clique numbers. 92f:05082 

Carrington, Julie R. (with Brigham, Robert C.) Factor domination. 92j:05133 

Chandra Babu, A. (with Ramakrishnan, P. V.; Seshan, C. R.) New proofs of Kénig- 
Egervary theorem and maximal flow—minimal cut capacity theorem using O.R. tech- 
niques. 92h:90048 

Chen, Bor Liang (with Fu, Héng Lin; Huang, Kuo Ching) Decomposing graphs into forests 
of paths with size less than three. 92j:05135 

Chen, Wai-Kai * Theory of nets. 92g:90001 

Chen, Xie Bin Constructing graphs with domination numbers equal to their 2-packing 
numbers. (Chinese. English summary) 92i:05171 

Cheng, Chung-Kuan (with Hu, Te Chiang) Ancestor tree for arbitrary multi-terminal cut 
functions. 92i:90042 

Chung, Fan R. K. (with Graham, Ronald L.) On graphs not containing prescribed induced 
subgraphs. 92j:05148 

Conforti, Michele (with Rao, M. R.; Sassano, Antonio) The equipartition polytope. I. 
Formulations, dimension and basic facets. 92e:52015 

— (with Rao, M. R.; Sassano, Antonio) The equipartition polytope. II. Valid inequalities 
and facets. 92e:52016 

Cong, Jingsheng see Wang, Gong Ben; et al., 92f:05073 

Constantine, Gregory M. see Farrell, E. J.; et al., 92d:05124 

Courcelle, Bruno On the expression of monadic second-order graph properties without 
quantifications over sets of edges (extended abstract). (see 92b:68007) 

Czyzowicz, Jurek (with Egyed, Peter; Rappaport, David; et al.) The aquarium keeper’s 
problem. (see 92b:68016) 

Dang, Kai Qian Circumferences of 2-connected k-regular bipartite graphs. (Chinese. English 
summary) 92c:05088 

Dean, Nathaniel The matching extendability of surfaces. 92m:05146 

Delorme, Charles (with Solé, Patrick) Diameter, covering index, covering radius and 
eigenvalues. 92a:05085 

Diané, M. (with Plesnik, J.) Three new heuristics for the Steiner problem in graphs. 
92g:90070 

Du, Ding Zhu see Liu, Zi Cheng, 92j:05054 

Dunbar, Jean (with Laskar, R. C.; Monroe, Ted) Global irredundant sets in graphs. 
92j:05149 

Dutton, Ronald D. see Brigham, Robert C., 92j:05001 

Eckhoff, Jiirgen Intersection properties of boxes. II. Extremal families. 92m:52010 

Egyed, Peter see Czyzowicz, Jurek; et al., (92b:68016) 

Farrell, E. J. (with Guo, Jing Ming; Constantine, Gregory M.) On matching coefficients. 
924:05124 


Faudree, Ralph J. (with Gyarfas, Andras; Lehel, Jené) Three-regular path pairable graphs. 
92m:05109 
Flandrin, E. see Amar, Denise; et al., 92c:05099 


COMBINATORICS 


Fournier, I. see Amar, Denise; et al., 92c:05099 

Fredricksen, Harold see Bryant, Roy D., 92h:05092 

Fu, Héng Lin see Chen, Bor Liang; et al., 92j:05135 

Fiiredi, Zoltin On r-graphs and r-multihypergraphs with given maximum degree. 92c:05115 

— The maximum number of edges in a minimal graph of diameter 2. 92j:05067 

Germa, A. see Amar, Denise; et al., 92c:05099 

Goddard, Wayne D. (with Kubicki, Grzegorz; Oellermann, Ortrud R.; Tian, Song Lin) On 
multipartite tournaments. 92f:05043 

Gombas, Eva see Bartha, Miklés, 92m:05143 

Graham, Ronald L. see Chung, Fan R. K., 92j:05148 

Gronau, Hans-Dietrich O. F. see Burosch, Gustav; et al., 92h:05090 

Grinwald, Norbert Optimale Kantennumerierung des K,, »: [Optimal numbering of edges 
of the Kn,m] 92i:05186 

Guldan, Filip Acyclic chromatic index and linear arboricity of graphs. 92c:05117 

Guo, Jing Ming see Farrell, E. J.; et al., 92d:05124 

Gyarfas, Andras see Faudree, Ralph J.; et al., 92m:05109 

Haggkvist, Roland (with Thomason, Andrew) Trees in tournaments. 92h:05060 

Harant, Jochen (with Walther, Hansjoachim) On the circumference of regular polyhedral 
graphs. 92c:05052 

Harborth, Heiko (with Mengersen, Ingrid) Edges with at most one crossing in drawings of 
the complete graph. 92¢:05036 

Hassin, Refael Multiterminal xcut problems. 92j:90030 

Hecker, Hans-Dietrich see Ahlfeld, Uwe, 92g:52012 

Hemminger, Robert L. see Aldred, R. E. L.; et al., 92k:05080 

Hirschberg, D.S. (with Larmore, Lawrence L.) The traveler’s problem. 92m:90054 

Hoffman, D. G. (with Johnson, P. D., Jr.) An extremal family of strongly regular graphs. 
92h:05109 

Holton, Derek Allan see Aldred, R. E. L.; et al., 92k:05080 

Horak, Peter Maximally non-Hamiltonian graphs. 92h:05084 

Hu, Te Chiang see Cheng, Chung-Kuan, 92i:90042 

Hu, Zhi Xiang A new lower bound for nonexponents of primitive, ministrong digraphs. 
(Chinese. English summary) 92a:05062 

Huang, Kuo Ching see Chen, Bor Liang; et al., 92j:05135 

Hurkens, C. A. J. On the diameter of the edge cover polytope. 92d:05125 

Jendrof, Stanislav (with Kekehak, Roman) Longest circuits in triangular and quadrangular 
3-polytopes with two types of edges. 92m:05113 

Johnson, P. D., Jr. see Hoffman, D. G., 92h:05109 

Jung, H. A. see Bauer, Douglas; et al., 92g:05117 

Katchalski, M. see Abbott, H. L., 92i:05131 

Kekenak, Roman see Jendrof, Stanislav, 92m:05113 

Kinch, Lael (with Lehel, Jené) The irregularity strength of ¢P;. 92i:05216 

Kleitman, Daniel J. (with West, Douglas B.) Spanning trees with many leaves. 92b:05025 

Knyazev, A. V. On the diameters of dichotomous graphs. (Russian) 92i:05101 

Kotzig, Anton see Berman, Abraham; et al., 92f:05081 

Kreher, Donald L. see Radziszowski, Stanislaw P., 92d:05110 

Kubicki, Grzegorz see Goddard, Wayne D.,; et al., 92f:05043 

Kuchta, Dorota A note on the paper: “Characterization of all optimal solutions and 
parametric maximal flows in networks” [Optimization 16 (1985), no. 1, 51-61; MR 
86k:90140] by G. Ruhe. 92b:90220 

Kundrik, Anton Dual point-partition number of complementary graphs. 92e:05071 

Kuz'min, S. L. The problem of the shortest path in an oriented graph with arbitrary arc 
lengths. (Russian) 92k:90113 

Lalov, P. I. (with Vasil‘eva, T.G.) Transformation of an oriented graph for finding the k 
shortest paths. (Bulgarian. English and Russian summaries) 92m:05114 

Lam, Clement W. H. see Ma, Ka Leung, 92j:05168 

Larmore, Lawrence L. see Hirschberg, D. S., 92m:90054 

Laskar, R.C. see Dunbar, Jean; et al., 92j:05149 

Leader, Imre see Bollobas, Béla, 92m:51042 

Lehel, Jené see Kinch, Lael, 92i:05216 and Faudree, Ralph J.; et al., 92m:05109 

Liu, Chung Laung see Wang, Gong Ben; et al., 92f:05073 

Liu, Yi Ping The maximum number of diagonals of cycles in claw-free graphs. (Chinese. 
English summary) 924:05085 

Liu, Zi Cheng (with Du, Ding Zhu) On Steiner minimal trees with L, distance. 92j:05054 

Lu, Zhi Kang On an upper bound for the harmonious chromatic number of a graph. 
92d:05065 

Ma, Ka Leung (with Lam, Clement W. H.) Partition algorithm for the dominating set 
problem. 92j:05168 

McDiarmid, Colin see Alon, Noga; et al., 92e:05043 

Mehlhorn, Kurt see Ahuja, Ravindra K.; et al., 92¢:68063 

Meijer, Henk (with Rappaport, David) Upper and lower bounds for the number of 
monotone crossing free Hamiltonian cycles from a set of points. 92d:05086 

Mengersen, Ingrid see Harborth, Heiko, 92e:05036 

Mikola, Milan A remark on extreme values of connectivity of a bipartite graph. (Slovak. 
English, German and Russian summaries) 92a:05076 

Monroe, Ted see Dunbar, Jean; et al., 92j:05149 

Moreno, José A. The continuous median of a graph. (Spanish. English summary) 
92g:90091 

Murakami, Atsushi (with Yamasaki, Maretsugu) Extremal problems with respect to ideal 
boundary components of an infinite network. II. 92j:90088 

Mynhardt, C.M. Lower Ramsey numbers for graphs. 92g:05134 

Naddef, Denis (with Rinaldi, Giovanni) The symmetric traveling salesman polytope and its 
graphical relaxation: composition of valid inequalities. 92i:90065 

NeSetiil, Jaroslav see Burosch, Gustzv; et al., 92h:05090 

Oellermann, Ortrud R. see Goddard, Wayne D.; et al., 92f:05043 

Orlin, James B. see Ahuja, Ravindra K.; et al., 92e:68063 

Padberg, Manfred (with Rinaldi, Giovanni) An efficient algorithm for the minimum 
capacity cut problem. 92e:90025 

Plesnik, J. see Diané, M., 92g:90070 

Popescu, Dragos Cycles in signed graphs. (Romanian. French summary) 92j:05114 

Pouzet, Maurice see Brochet, J.-M., 92k:06004 





129 1992 


Provan, J. Scott The role of Steiner hulls in the solution to Steiner tree problems. 
92m:05186 

Pulleyblank, William R. Polyhedral combinatorics. (see 92a:90001) 

Radziszowski, Stanislaw P. (with Kreher, Donald L.) Minimum triangle-free graphs. 
92d:05110 

Ramakrishnan, P. V. see Chandra Babu, A.; et al., 92h:90048 

Rao, M. R. see Conforti, Michele; et al., 92e:52015 and 92e:52016 

Rappaport, David see Meijer, Henk, 924:05086 and Czyzowicz, Jurek; et al., (92b:68016) 

Reed, Bruce see Alon, Noga; et al., 92e:05043 

Rinaldi, Giovanni see Padberg, Manfred, 92e:90025 and Naddef, Denis, 92i:90065 

(Ruhe, Giinther) see Kuchta, Dorota, 92b:90220 

Sabidussi, Gert see Berman, Abraham; et al., 92f:05081 

Sarnak, Peter * Some applications of modular forms. 92k:11045 

Sassano, Antonio see Conforti, Michele; et al., 92e:52015 and 92e:52016 

Schmeichel, Edward see Bauer, Douglas; et al., 92g:05117 

Schrijver, Alexander Short proofs on multicommodity flows and cuts. 92g:90072 

Seshan, C.R. see Chandra Babu, A.; et al., 92h:90048 

Sidorenko, A. F. Triangle-free regular graphs. 92i:05183 

— On Ramsey-Turdn numbers for 3-graphs. 92m:05139 

Simonovits, Miklés (with Sés, Vera T.) Szemerédi’s partition and quasirandomness. 
92c:05142 

Solé, Patrick see Delorme, Charles, 92a:05085 

Sés, Vera T. see Simonovits, Miklés, 92c:05142 

Tarandova, Raina N. On stability intervals in a parametric problem for determining the 
maximal flow magnitude in a directed cycle-free network. (Bulgarian. English summary) 
(see 92a:00041) 

Tarjan, Robert E. see Ahuja, Ravindra K.; et al., 92e:68063 

Terebenkov, A. P. On the NP-completeness of problems on determining the maximal 
cut and cycle covering in a planar graph. (Russian. English and Ukrainian summaries) 
924:05159 

Thomason, Andrew see Haggkvist, Roland, 92h:05060 

Tian, Song Lin see Goddard, Wayne D.; et al., 92f:05043 

Tomescu, Ioan Some extremal results concerning the number of graph and hypergraph 
colorings. 92b:05039 

Torosyan, B. E. The number and cardinalities of components of solutions of a discrete 
isoperimetric problem in the Hamming lattice {0, 1}”". (Russian. Armenian summary) 
92h:05137 

Van der Veen, J. A. A. see Burkard, Rainer E., 92g:90130 

Vasil'eva, T. G. see Lalov, P. I., 92m:05114 

Vijayan, Kaipillil see Caccetta, L., 92f:05082 

Voss, Heinz-Jiirgen Maximale gerade und ungerade Kreise in Graphen. III. [Maximal even 
and odd cycles in graphs] 92h:05078 

Wagner, Klaus! see Bodendiek, Rainer, 92d:05051 

Walther, Hansjoachim see Harant, Jochen, 92c:05052 

Wang, Gong Ben (with Liu, Chung Laung; Cong, Jingsheng) An extremal problem in 
colored uniform hypergraphs. 92f:05073 

West, Douglas B. see Kleitman, Daniel J., 92b:05025 

Wiseman, James A. Extremal Hasse diagrams. 92i:06006 

Wolsey, Laurence A. see Bousba, Choaib, 92h:90047 

Yamasaki, Maretsugu see Murakami, Atsushi, 92j:90088 

Zelikovskii, A. Z. The Steiner problem on graphs without optimal vertices. (Russian) 
92h:90054 

Zelinka, Bohdan Edge-domatically full graphs. 92¢:05093 

— Total edge-domatic number of a graph. (Czech summary) 92d:05129 

Zhang, Guo-Hui Smallest regular graphs with prescribed odd girth. 92f:05062 

Zhang, Lian Zhu Construction of minimally 2-edge connected graphs. (Chinese. English 
summary) 

Zhou, Shu Min Some properties of the kth power of connected graphs. (Chinese. English 
summary) 924:05091 

Zito, Jennifer The structure and maximum number of maximum independent sets in trees. 
92h:05040 

Zverovich, I. E. (with Zverovich, V. E.) A characterization of domination perfect graphs. 
92d:05136 

Zverovich, V.E. see Zverovich, I. E., 92d:05136 


05C38 Paths and cycles [see also 90B10] 


Abbott, H. L. (with Zhou, Bing) On small faces in 4-critical planar graphs. 92i:05130 

— (with Katchalski, M.) Further results on snakes in powers of complete graphs. 92i:05131 

Alspach, Brian (with Wang, Zhi Jian') A note on the amida number of a regular graph. 
92d:05079 

Amar, Denise (with Manoussakis, Yannis) Cycles and paths of many lengths in bipartite 
digraphs. 92c:05087 

— (with Fournier, I.; Germa, A.) Pancyclism in Chvatal-Erdés’s graphs. 92f:05056 

Archdeacon, Dan S. (with Perkel, Manley) Constructing polygonal graphs of large girth and 
degree. 92b:05052 

Bagga, Kunwarjit S. (with Varma, Badri N.) Degree conditions and long cycles in bipartite 
graphs. 92m:05108 

Bau, Sheng Cycles containing a set of elements in cubic graphs. 92g:05116 

— (with Holton, Derek Allan) Cycles containing 12 vertices in 3-connected cubic graphs. 
92j:05109 

Bauer, Douglas (with Jung, H. A.; Schmeichel, Edward) On 2-connected graphs with small 
circumference. 92g:05117 

Bollobas, Béla (with Haggkvist, Roland) The circumference of a graph with a given 
minimal degree. 92f:05057 

Bondy, J. A. Small cycle double covers of graphs. 92¢e:05063 

Brandstadt, Andreas Classes of bipartite graphs related to chordal graphs. 92d:05080 

Broersma, H. J. (with Veldman, Henk Jan) Long dominating cycles and paths in graphs 
with large neighborhood unions. 92b:05053 


05C Graph theory 


05C38 


Chakroun, N. (with Manoussakis, Manolis; Manoussakis, Yannis) Directed and antidi- 
rected Hamiltonian cycles and paths in bipartite graphs. 92d:05081 

Chang, Maw Shang (with Tang, Chuan Yi; Lee, R.C.T.) 20-relative neighborhood graphs 
are Hamiltonian. 92k:05075 

Changat, Manoj On order and geodesic alignment of a connected bigraph. 92h:05075 

Chen, Chuan Ping (with Zhu, Yong Jin) On the longest cycles in a class of 3-connected 
graphs. 92f:05058 

Cimikowski, Robert J. Finding longest cycles in inner-triangulated graphs. 92b:05054 

Dang, Kai Qian Circumferences of 2-connected k-regular bipartite graphs. (Chinese. English 
summary) 92c:05088 

Deng, Xiao Tie (with Papadimitriou, Christos H.) On path lengths modulo three. 
92c:05089 

Du, Qing Yan A Menger theorem for paths with length at least 4. (Chinese. English 
summary) 92d:05082 

Egawa, Yoshimi (with Saito, Akira) Contractible edges in nonseparating cycles. 92j:05110 

— (with Glas, R.; Locke, S.C.) Cycles and paths through specified vertices in k-connected 
graphs. 92i:05132 

Fan, Geng Hua Long cycles and the codiameter of a graph. II. 92e:05064 

Faudree, Ralph J. (with Gyarfas, Andras; Lehel, Jené) Three-regular path pairable graphs. 
92m:05109 

Fleischner, Herbert (with Woeginger, Gerhard J.) Detecting cycles through three fixed 
vertices ina graph. 92m:05110 

Fouquet, Jean-Luc (with Thuillier, Henri) Nonremovable edges in 3-connected cubic 
graphs. (French summary) 92f:05059 

Fournier, I. see Amar, Denise; et al., 92f:05056 

Frank, Andras (with Schrijver, Alexander) Vertex-disjoint simple paths of given homotopy 
in a planar graph. 92d:05083 

Gallian, Joseph A. Circuits in directed grids. 92m:05111 

Germa, A. see Amar, Denise; et al., 92f:05056 

Glas, R. see Egawa, Yoshimi; et al., 92i:05132 

Gould, Ronald J. (with Jacobson, Michael S.) Neighborhood intersections and a generaliza- 
tion of Ore’s theorem. 92i:05133 

Gyarfas, Andras see Faudree, Ralph J.; et al., 92m:05109 

Haggkvist, Roland see Bollobas, Béla, 92f:05057 

Harnau, W. (with Jordan, Dirk) Longest cycles in circulant graphs. 92b:05055 

Hendry, George R. T. Path extendable graphs. 92b:05056 

— Extending cycles in bipartite graphs. 92¢:05065 

Holton, Derek Allan see Bau, Sheng, 92j:05109 

Jackson, Bill (with Ordaz, Oscar) Chvatal-Erdés conditions for paths and cycles in graphs 
and digraphs. A survey. 92c:05090 

— (with Wormald, Nicholas C.) Longest cycles in 3-connected planar graphs. 92m:05112 

Jacobson, Michael S. see Gould, Ronald J., 92i:05133 

Jendrof, Stanislav (with Kekenak, Roman) Longest circuits in triangular and quadrangular 
3-polytopes with two types of edges. 92m:05113 

Jordan, Dirk Pseudozyklizitét von Produkten von Graphen. [Pseudocyclicity of products of 
graphs] 924:05084 

— see also Harnau, W., 92b:05055 

Jung, H. A. see Bauer, Douglas; et al., 92g:05117 

Kaneko, Atsushi Paths and cycles concerning independent edges. 92h:05076 

— (with Saito, Akira) Cycles intersecting a prescribed vertex set. 92k:05076 

Katchalski, M. see Abbott, H. L., 92i:05131 

Kekenak, Roman see Jendrof, Stanislav, 92m:05113 

Kohayakawa, Y. A note on induced cycles in Kneser graphs. 92h:05077 

Lai, Hong-Jian Graph whose edges are in small cycles. 92j:05111 

Lalov, P.I. (with Vasil/eva, T.G.) Transformation of an oriented graph for finding the k 
shortest paths. (Bulgarian. English and Russian summaries) 92m:05114 

Lee, R.C.T. see Chang, Maw Shang; et al., 92k:05075 

Lehel, Jené see Faudree, Ralph J.; et al., 92m:05109 

Liang, Shu Li see Yang, Cheng En, 92d:05090 

Lindner, C.C. (with Rodger, C. A.; Stinson, Douglas R.) Nestings of directed cycle systems. 
92j:05112 

Liu, Bo Lian Some questions on path length distribution in graphs. 92m:05115 

Liu, Yi Ping The maximum number of diagonals of cycles in claw-free graphs. (Chinese. 
English summary) 92d:05085 

Locke, S.C. see Egawa, Yoshimi; et al., 92i:05132 

Manoussakis, Manolis see Chakroun, N.; et al., 92d:05081 

Manoussakis, Yannis see Amar, Denise, 92c:05087 and Chakroun, N.; et al., 92d:05081 

Marathe, Madhav V. see Ravi, R.; et al., 92m:05116 

Meijer, Henk (with Rappaport, David) Upper and lower bounds for the number of 
monotone crossing free Hamiltonian cycles from a set of points. 92d:05086 

Nebesky, Ladislav Route systems and bipartite graphs. 92g:05118 

Nezhentsev, Yu. I. Optimal representation of cycles in arithmetic graphs. (Russian. English 
and Ukrainian summaries) 924:05087 

Ordaz, Oscar see Jackson, Bill, 92c:05090 

Pandu Rangan, C. see Ravi, R.; et al., 92m:05116 

Papadimitriou, Christos H. see Deng, Xiao Tie, 92c:05089 

Parsons, T. D. (with Pisanski, Tomaz) Graphs which are locally paths. 92e:05066 

Perkel, Manley see Archdeacon, Dan S., 92b:05052 

Piotrowski, Wiktor (with Syslo, M. M.) Some properties of graph centroids. 92j:05113 

Pisanski, Tomaz see Parsons, T. D., 92e:05066 

Popescu, Dragos Cycles in signed graphs. (Romanian. French summary) 92j:05114 

Qiao, Wei Jia A property of the longest path in a graph. (Chinese. English summary) 
92c:05091 

Qin, Yu Sheng Pancyclicity in oriented graphs. (Chinese. English summary) 92j:05115 

Rappaport, David see Meijer, Henk, 92d:05086 

Ravi, R. (with Marathe, Madhav V.; Pandu Rangan, C.) An optimal algorithm to solve the 
all-pair shortest path problem on interval graphs. 92m:05116 

Rodger, C. A. see Lindner, C. C.; et al., 92j:05112 

Rédl, Vojtéch (with Tuza, Zsolt) Rainbow subgraphs in properly edge-colored graphs. 
92m:05117 





05C38 


Rosenfeld, Moshe The number of cycles in 2-factors of cubic graphs. 92d:05088 

Saito, Akira see Egawa, Yoshimi, 92j:05110 and Kaneko, Atsushi, 92k:05076 

Schmeichel, Edward see Bauer, Douglas; et al., 92g:05117 

Schrijver, Alexander see Frank, Andras, 92d:05083 

Song, Zeng Min Number of arcs and longest cycles in digraphs. 92a:05073 

Stinson, Douglas R. see Lindner, C. C.; et al., 92j:05112 

Sysio, M. M. see Piotrowski, Wiktor, 92j:05113 

Tang, Chuan Yi see Chang, Maw Shang; et al., 92k:05075 

Thuillier, Henri see Fouquet, Jean-Luc, 92f:05059 

Tian, Feng (with Zang, Wen An) The maximum number of diagonals of a cycle in a block 
and its extremal graphs. 92k:05077 

— see also Zang, Wen An; et al., 92j:05116 

Topp, Jerzy (with Volkmann, Lutz) A generalization of Menger’s theorem for trees. 
92£:05060 


Tuza, Zsolt Exponentially many distinguishable cycles in graphs. 92f:05061 

— see also Rédl, Vojtéch, 92m:05117 

Tvrdik, Pavel On Hamiltonian circuits, paths, and spanning trees of hypercubes. (see 
924:65250) 

Varma, Badri N. see Bagga, Kunwarjit S., 92m:05108 

Vasil’eva, T. G. see Lalov, P. I., 92m:05114 

Veldman, Henk Jan see Broersma, H. J., 92b:05053 

Volkmann, Lutz see Topp, Jerzy, 92f:05060 

Voss, Heinz-Jiirgen Maximale gerade und ungerade Kreise in Graphen. III. [Maximal even 
and odd cycles in graphs] 92h:05078 

— Cycles with many diagonals in cyclically k-vertex-connected graphs. 92k:05078 

— *& Cycles and bridges in graphs. 92m:05118 

Wang, Guo Cong (with Zhang, Zhong Fu) A proof of a conjecture in graph theory. 
(Chinese. English summary) 92k:05079 

Wang, Zhi Jian’ see Alspach, Brian, 92d:05079 

Widmayer, Peter On graphs preserving rectilinear shortest paths in the presence of 
obstacles. 92i:05134 

Woeginger, Gerhard J. see Fleischner, Herbert, 92m:05110 

Wormald, Nicholas C. see Jackson, Bill, 92m:05112 

Xu, Cheng De A necessary and sufficient condition for a graph G with diameter 5 to be 2- 
diameter-stable. 92d:05089 

Yang, Cheng En (with Liang, Shu Li) Several problems of counting cycles in lattice graphs. 
92d:05090 

Yin, Jia Hong Neighbourhood unions and Hamiltonian properties. (Chinese. English 
summary) 92g:05119 

Zang, Wen An (with Tian, Feng) A new sufficient condition for S-circuits in graphs. 
92j:05116 

— see also Tian, Feng, 92k:05077 

Zhang, Guo-Hui Smallest regular graphs with prescribed odd girth. 92f:05062 

Zhang, Zhong Fu see Wang, Guo Cong; et al., 92k:05079 

Zhao, Bao Ze Circumference and girth of a graph G. (Chinese. English summary) 

Zhou, Bing see Abbott, H. L., 92i:05130 

Zhou, Zhen Hai Directed S-circuits and directed S-trails. (Chinese. English summary) 
92m:05119 


Zhu, Xuding A simple proof of the multiplicativity of directed cycles of prime power length. 


Zhu, Yong Jin see Chen, Chuan Ping, 92f:05058 


Items with secondary classifications in 05C38 

Alspach, Brian (with Bermond, Jean-Claude; Sotteau, D.) Decomposition into cycles. I. 
Hamilton decompositions. 92e:05073 

Amar, Denise (with Raspaud, André) Covering the vertices of a digraph by cycles of 
prescribed length. 92c:05066 

Ambartsumyan, O. A. see Asratyan, A. S.; et al., 92g:05124 

Arikati, Srinivasa R. (with Pandu Rangan, C.; Manacher, Glenn K.) Efficient reduction for 
path problems on circular-arc graphs. 92h:68036 

— (with Pandu Rangan, C.) An efficient algorithm for finding a two-pair, and its applica- 
tions. 92a:68115 

Asratyan, A.S. (with Ambartsumyan, O. A.; Sarkisyan, G. V.) Some local conditions for 
the Hamiltonicity and pancyclicity of a graph. (Russian. Armenian summary) 92g:05124 

Bae, Yongju (with Park,Chan Young) On cycle double cover conjecture. 92e:05082 

— (with Park, Chan Young) Correction to: “On cycle double cover conjecture” [Kyungpook 
Math. J. 30 (1990), no. 2, 163-169; MR 92¢:05082]. 92j:05132 

Bagga, Kunwarjit S. (with Varma, Badri N.) Bipartite graphs and degree conditions. 
92g:05104 

Barahona, Francisco On some applications of the Chinese postman problem. 92b:90139 

Bermond, Jean-Claude see Alspach, Brian; et al., 92e:05073 

Bienstock, Daniel On the complexity of testing for odd holes and induced odd paths. 
92m:68040a 

— Corrigendum: “On the complexity of testing for odd holes and induced odd paths”. 
92m:68040b 

Bondy, J. A. (with Fan, Geng Hua) Cycles in weighted graphs. 92k:05064 

Brigham, Robert C. (with Dutton, Ronald D.) A compilation of relations between graph 
invariants. Supplement I. 92j:05001 

Broersma, H. J. (with Veldman, Henk Jan) Restrictions on induced subgraphs ensuring 
Hamiltonicity or pancyclicity of K;,3-free graphs. 92g:05125 

Caccetta, L. (with Vijayan, Kaipillil) Maximal cycles in graphs. 92j:05097 

Cerdeira, J. Orestes Covering the vertices of a graph with k disjoint cycles in the vertices. 
(Portuguese) (see 92g:00025) 

Chakroun, N. (with Sotteau, D.) Chvatal-Erdés theorem for digraphs. 92e:05050 

Chernov, N.I. see Galeeva, R. F., 92k:58215 


COMBINATORICS 


Dutton, Ronald D. see Brigham, Robert C., 92j:05001 

Egawa, Yoshimi Nonseparating cycles in graphs. 92f:05063 

— (with Kano, Mikio; Tan, Evelyn L.) On cycle graphs. 92j:05150 

Entringer, R.C. see Clark, L. H.; et al., 92g:05106 

Erdés, Paul (with Faudree, Ralph J.; Schelp, R. H.; Simonovits, Mikl6s) An extremal result 
for paths. 92k:05068 

Fan, Geng Hua see Bondy, J. A., 92k:05064 

Faudree, Ralph J. see Erdés, Paul; et al., 92k:05068 

Fleischner, Herbert (with Jackson, Bill) Compatible Euler tours in Eulerian digraphs. 
92¢:05074 

Frank, Andrés On disjoint homotopic paths in the plane. 92d:05053 

— Packing paths in planar graphs. 92m:05068 

Galeeva, R. F. (with Chernov, N. I.) Conditions for the strict exponential growth of the 
number of cycles in countable directed graphs. (Russian) 92k:58215 

Goddard, Wayne D. (with Kubicki, Grzegorz; Oellermann, Ortrud R.; Tian, Song Lin) On 
multipartite tournaments. 92f:05043 

Gutjahr, Walter On the co-structure of k paths in a random binary tree. 92i:05189 

Hashimoto, Ki-ichiro On zeta and L-functions of finite graphs. 92¢:11089 

Huck, Andreas A sufficient condition for graphs to be weakly k-linked. 92m:05123 

Ibaraki, Toshihide (with Poljak, Svatopluk) Weak three-linking in Eulerian digraphs. 
92a:05063 

Jackson, Bill (with Wormald, Nicholas C.) k-walks of graphs. 92g:05128 

— see also Fleischner, Herbert, 92e:05074 

Jin, Da Yong see Yang, Cheng En, 92k:90115 

Kano, Mikio see Egawa, Yoshimi; et al., 92j:05150 

Knyazev, A. V. Upper bounds on exponents of pseudosymmetric graphs. (Russian) 
92e:05057 

Kubicki, Grzegorz Unicyclic graphs and greatest common subgraphs. 92j:05154 

— see also Goddard, Wayne D.; et al., 92£:05043 

Lai, Hong-Jian (with Lai, Hongyuan) Cycle covers in graphs without subdivisions of K,. 
92d:05126 

— (with Lai, Hongyuan) Cycle covering of plane triangulations. 92i:05160 

Lai, Hongyuan see Lai, Hong-Jian, 92d:05126 and 92i:05160 

Lee, Der Tsai see Yang, C. D.; et al., (92i:68003) 

Leont'ev, V. K. (with Sorokina,O.M.) Lengths of Hamiltonian cycles in a weighted graph. 
(Russian) 92c¢:05103 

Li, Deng Xin Cycle decomposition of K2,+). (Chinese. English summary) 

Li, Hao! (with Zhu, Yong Jin) Edge-disjoint Hamilton cycles in graphs. 92j:05120 

Lindner, C.C. (with Phelps, K. T.; Rodger, C. A.) The spectrum for 2-perfect 6-cycle 
systems. 92m:05025 

Liu, Zhen Hong! (with Zhu, Yong Jin; Tian, Feng) Hamiltonian cycles in graphs. 
92d:05096 

Luczak, Tomasz Cycles in a random graph near the critical point. 92j:05163 

Manacher, Glenn K. see Arikati, Srinivasa R.; et al., 92h:68036 

Manoussakis, Manolis (with Manoussakis, Yannis) Some cyclic properties in bipartite 
digraphs with a given number of arcs. 92m:05090 

Manoussakis, Yannis see Manoussakis, Manolis, 92m:05090 

McCanna, Joseph see Clark, L. H.; et al., 92g:05106 

Middendorf, Matthias (with Pfeiffer, Frank) The paths-selection problem. 92c:05151 

Mollard, Michel Cycle-regular graphs. 92m:05161 

Oellermann, Ortrud R. see Goddard, Wayne D.; et al., 92f:05043 

Okamura, Haruko Cycles containing three consecutive edges in 2k-edge-connected graphs. 
92h:05080 

Pandu Rangan, C. see Arikati, Srinivasa R., 92a:68115 and 92h:68036 

Park, Chan Young see Bue, Yongju, 92e:05082 and 92j:05132 

Peng, Dai Yuan Conditions for an infinite directed graph to be decomposable into a finite 
number of directed paths. (Chinese) 92:05045 

Pfeiffer, Frank see Middendorf, Matthias, 92c:05151 

Phelps, K.T. see Lindner, C. C.; et al., 92m:05025 

Polat, Norbert A Mengerian theorem for infinite graphs with ideal points. 92e:05058 

Poljak, Svatopluk see Ibaraki, Toshihide, 92a:05063 

Pruesse, Gara (with Ruskey, Frank) Generating the linear extensions of certain posets by 
transpositions. 92d:06011 

Randi¢, Milan A route to acyclic (matching) polynomial. 92j:05177 

Raspaud, André Cycle covers of graphs with a nowhere-zero 4-flow. 92h:05101 

— see also Amar, Denise, 92c:05066 

Richter, R. Bruce Nonplanar graphs and well-covered cycles. 92d:05056 

— Spanning trees, Euler tours, medial graphs, left-right paths and cycle spaces. 92b:05031 

Roberts, Fred S. see de Werra, D., 92e:05090 

Rodger, C. A. see Lindner, C. C.; et al., 92m:05025 

Ruskey, Frank see Pruesse, Gara, 924:06011 

Sarkisyan, G. V. see Asratyan, A. S.; et al., 92g:05124 

Schelp, R. H. see Erdés, Paul; et al., 92k:05068 

Schrijver, Alexander Applications of polyhedral combinatorics to multicommodity flows 
and compact surfaces. 92d:05057 

Schwirzler, Werner Being Hamiltonian is not a Tutte invariant. 92d:05098 

Scorzoni, Roberto An algebraic characterization of trees and cycles. 92h:05115 

Shepherd, F. Bruce Hamiltonicity in claw-free graphs. 92h:05085 

Shi, Yong Bing Digraphs with a unique length of cycles. (Chinese. English summary) 
92h:05064 

Simonovits, Miklés see Erdés, Paul; et al., 92k:05068 

Sjogren, Jon A. Cycles and spanning trees. 92h:05039 

Sorokina, O. M. see Leont'ev, V. K., 92c:05103 

Sotteau, D. see Chakroun, N., 92e:05050 and Alspach, Brian; et al., 92e:05073 





Clark, L. H. (with Entringer, R. C.; McCanna, Joseph; Székely, L. A.) Extremal probl 
for local properties of graphs. 92g:05106 

Damaschke, Peter Forbidden ordered subgraphs. 92d:05132 

Darbinyan, S. Kh. Hamiltonian and strongly Hamilton-connected digraphs. (Russian. 
Armenian summary) 92g:05126 

Deng, Xiao Tie see Zhu, Yong Jin; et al., 92f:05055 and 92k:05089 


Székely, L. A. see Clark, L. H.; et al., 92g:05106 

Tan, Evelyn L. see Egawa, Yoshimi; et al., 92j:05150 

Tian, Feng (with Zang, Wen An) Bipancyclism in Hamiltonian bipartite graphs. 92j:05122 
— see also Liu, Zhen Hong); et al., 92d:05096; Zhu, Yong Jin; et al., 92f:05055 and 92k:05089 
Tian, Song Lin see Goddard, Wayne D.; et al., 92f:05043 

van Tilborg, Henk C. A. An assignment problem for the vertices of a cycle. 92k:68103 





131 1992 


Topp, Jerzy Geodetic line, middle and total graphs. (Russian summary) 92a:05108 
Varma, Badri N. see Bagga, Kunwarjit S., 92g:05104 


925:05097 

Wallis, W. D. (with Wang, Zhi Jian') Hamilton cycles in Cartesian products. 92d:05100 

Wang, Zhi Jian! see Wallis, W. D., 924:05100 

Wei, Bing The panconnectivity on graphs. 92g:05123 

de Werra, D. (with Roberts, Fred S.) On the use of augmenting chains in chain packings. 
92e:05090 

Wong, Chak Kuen see Yang, C. D.; et al., (92i:68003) 

Wormald, Nicholas C. see Jackson, Bill, 92g:05128 

Yang, C.D. (with Lee, Der Tsai; Wong, Chak Kuen) On bends and lengths of rectilinear 
paths: a graph-theoretic approach. (see 92i:68003) 

Yang, Cheng En (with Jin, Da Yong) A primal-dual algorithm for the minimum average 
weighted length circuit problem. 92k:90115 

Yu, Xingxing On the cycle-isomorphism of graphs. 924:05115 

Zang, Wen An see Tian, Feng; et al., 92j:05122 

Zhou, Hui Shan Multiplicativity. II. Nonmultiplicative digraphs and characterization of 
oriented paths. 92j:05087b 

Zhou, Shu Min Some properties of the kth power of connected graphs. (Chinese. English 
summary) 92d:05091 

Zhu, Yong Jin (with Tian, Feng; Deng, Xiao Tie) Further consideration on the Bondy- 
Chvatal’s closure theorems. 92k:05089 

— (with Tian, Feng; Deng, Xiao Tie) More powerful closure operations on graphs. 
92:05055 

— see also Liu, Zhen Hong’; et al., 92d:05096 and Li, Hao’, 92j:05120 

Ziegler, Ginter M. Binary supersolvable matroids and modular constructions. 92b:05023 


05C40 Connectivity 


Aharoni, Ron Linkability in countable-like webs. 92c:05092 

Aldred, R. E. L. (with Hemminger, Robert L.; Holton, Derek Allan) A dual concept of 
connectivity in planar graphs. 92k:05080 

Boland, James W. (with Ringeisen, Richard D.) Inclusive connectivity: an introduction to a 
local parameter. 92h:05079 

Brualdi, Richard A. (with Csima, J.) A note on vertex- and edge-connectivity. 92c:05093 

Cai, Mao Cheng Edge-forwarding indices of 2-edge-connected graphs. 92¢:05067 

Cai, Xiao Tao Construction of cyclically k-edge-connected graphs for k = 2, 3, and 4. 
(Chinese. English summary) 92¢:05068 

Cerdeira, J. Orestes see Gobel, F.; et al., 922:05074 

Chen, Rong Si see Zhang, Fu Ji; et al., 92e:05072 

Cheung, Kim H. see Myrvold, Wendy; et al., 92f:05065 

Choudum, S. A. On forcibly connected graphic sequences. 92m:05120 

Csima, J. see Brualdi, Richard A., 92c:05093 

Dana Jiménez, Juan C. (with Marquez, Alberto) Codification of figures in R?. (Spanish. 
English summary) (see 92m:00050) 

Day, D. P. (with Oellermann, Ortrud R.; Swart, Henda C.) On the /-connectivity function 
of caterpillars and complete multipartite graphs. 92i:05135 

Dillencourt, Michael B. An upper bound on the shortness exponent of 1-tough, maximal 
planar graphs. 92g:05120 

Doty, Lynne L. see Smith, Derek Howard, 92a:05078 

Egawa, Yoshimi Nonseparating cycles in graphs. 92f:05063 

— (with Kaneko, Atsushi; Matsumoto, Makoto) A mixed version of Menger’s theorem. 
92c:05094 

— Contractible edges in n-connected graphs with minimum degree greater than or equal to 
[5/4]. 92m:05121 

Fiedler, Miroslav Laplacian of graphs and algebraic connectivity. 92e:05069 

Frank, Andrés Augmenting graphs to meet edge-connectivity requirements. 92m:05122 

Getu, Seyoum see Shapiro, Louis W.; et al., 92j:05117 

Gobel, F. (with Cerdeira, J. Orestes; Veldman, Henk Jan) Label-connected graphs and the 
gossip problem. 92a:05074 

Guo, Xiao Feng see Zhang, Fu Ji; et al., 92e:05072 

Gusfield, Dan Computing the strength of a graph. 92e:05070 

Hamidoune, Yahya Ould On some graphic aspects of addition theorems. 92i:05136 

— (with Tindell, Ralph) Vertex transitivity and super line connectedness. 92c:05095 

Hemminger, Robert L. (with Rayburn, Nell K.; Yu, Xingxing) On contractible edges in 
(n, k)-connected graphs. 92k:05081 

— see also Aldred, R. E. L.; et al., 92k:05080 

Holton, Derek Allan see Aldred, R. E. L.; et al., 92k:05080 

Huang, Qiong Xiang Connectivity of generalized Cartesian product graphs. (Chinese. 
English summary) 92g:05121 

Huck, Andreas About the number of removable edges in n-regular n-edge-connected graphs. 
921:05064 

— A sufficient condition for graphs to be weakly k-linked. 92m:05123 

Kaneko, Atsushi see Egawa, Yoshimi; et al., 92c:05094 

Kundrik, Anton Dual point-partition number of complementary graphs. 92¢e:05071 

Liu, Gui Zhen Proof of a conjecture on matroid base graphs. 92b:05057 

Liu, Xin? The connectivity of directed circulant graphs. (Chinese. English summary) 
92k:05082 

Marcu, Danut Note on k-connected digraphs. 92a:05075 

Marquez, Alberto see Dana Jiménez, Juan C., (92m:00050) 

Matsumoto, Makoto see Egawa, Yoshimi; et al., 92c:05094 

Mikola, Milan A remark on extreme values of connectivity of a bipartite graph. (Slovak. 
English, German and Russian summaries) 92a:05076 

Morioka, Masaomi see Sunouchi, Haruo 

Myrvold, Wendy (with Cheung, Kim H.; Page, Lavon B.; Perry, Jo Ellen) Uniformly most 
reliable networks do not always exist. 92f:05065 

Oellermann, Ortrud R. see Day, D. P.; et al., 92i:05135 

Okamura, Haruko Cycles containing three consecutive edges in 2k-edge-connected graphs. 
92h:05080 


05C Graph theory 


— Every 4k-edge-connected graph is weakly 3k-linked. 92a:05077 

Page, Lavon B. see Myrvold, Wendy; et al., 92f:05065 

Perry, Jo Ellen see Myrvold, Wendy; et al., 92f:05065 

Piazza, B. L. (with Ringeisen, Richard D.) Connectivity of generalized prisms over G. 
92c:05096 


Qian, Xiong Ping see Shi, Rong Hua; et al. 

Rayburn, Nell K. see Hemminger, Robert L.; et al., 92k:05081 

Ringeisen, Richard D. see Piazza, B. L., 92c:05096 and Boland, James W., 92h:05079 

Shapiro, Louis W. (with Getu, Seyoum; Woan, Wen Jin; Woodson, Leon C.) The Riordan 
group. 92j:05117 

Shi, Rong Hua (with Qian, Xiong Ping) 3-connected, locally connected claw-free graphs are 
panconnected. (Chinese. English summary) 

Smith, Derek Howard (with Doty, Lynne L.) On the construction of optimally reliable 
graphs. 92a:05078 

Su, Jian Ji On some properties of critically h-connected graphs and k-critically h-connected 
graphs. 92c:05097 

Sun, Liang On a problem of J. Csima. 92a:05079 

Sunouchi, Haruo (with Morioka, Masaomi) Some properties on the connectivity of a fuzzy 
graph. (Japanese. English summary) 

Swart, Henda C. see Day, D. P.; et al., 921:05135 

Thomassen, Carsten Large a-preserving sets in infinite a-connected graphs. 92g:05122 

— Highly connected non-2-linked digraphs. 92h:05081 

Tindell, Ralph see Hamidoune, Yahya Ould, 92c:05095 

Veldman, Henk Jan see Gobel, F.; et al., 92a:05074 

Wei, Bing The panconnectivity on graphs. 92g:05123 

— (with Zhu, Yong Jin) A new result about panconnectivity on graphs. 92a:05080 

Woan, Wen Jin see Shapiro, Louis W.; et al., 92j:05117 

Woodson, Leon C. see Shapiro, Louis W.; et al., 92j:05117 

Yu, Xingxing see Hemminger, Robert L.; et al., 92k:05081 

Zhang, Cun Quan (with Zhu, Yong Jin) Long path connectivity of regular graphs. 
92k:05083 

Zhang, Fu Ji (with Guo, Xiao Feng; Chen, Rong Si) A construction method for critically k- 
edge-connected graphs. 92e:05072 

Zhang, Lian Zhu Construction of minimally 2-edge connected graphs. (Chinese. English 
summary) 

Zhou, Shu Min Some properties of the kth power of connected graphs. (Chinese. English 
summary) 924:05091 

Zhu, Bi Wen A construction method for minimally h-edge-connected simple graphs. 
92c:05098 


Zhu, Yong Jin see Wei, Bing; et al., 92a:05080 and Zhang, Cun Quan, 92k:05083 


Items with secondary classifications in 05C40 


Achuthan, N. R. see Achuthan, Nirmala; et al., 92h:05069 

Achuthan, Nirmala (with Achuthan, N. R.; Caccetta, L.) On the Nordhaus-Gaddum ciass 
problems. 92h:05069 

Amin, A. T. (with Siegrist, K. T.; Slater, P. J.) On the nonexistence of uniformly optimal 
graphs for pair-connected reliability. 92f:68011 

Bau, Sheng Cycles containing a set of elements in cubic graphs. 92g:05116 

Bienstock, Daniel (with Brickell, Ernest F.; Monma, Clyde L.) On the structure of 
minimum-weight k-connected spanning networks. 92c:90048 

Brickell, Ernest F. see Bienstock, Daniel; et al., 92c:90048 

Brigham, Robert C. (with Dutton, Ronald D.) A compilation of relations between graph 
invariants. Supplement I. 92j:05001 

Budayasa, K. (with Caccetta, L.) On critically k-edge-connected graphs. 92i:05114 

Caccetta, L. see Achuthan, Nirmala; et al., 92h:05069 and Budayasa, K., 92i:05114 

Doty, Lynne L. A large class of maximally tough graphs. 92i:05116 

Dutton, Ronald D. see Brigham, Robert C., 92j:05001 

Enomoto, Hikee A review of connectivity and k-factors. 92e:05084 

Faudree, Ralph J. (with Gould, Ronald J.; Lesniak, Linda) Neighborhood conditions and 
edge-disjoint perfect matchings. 92k:05097 

Fouquet, Jean-Luc (with Thuillier, Henri) Nonremovable edges in 3-connected cubic 
graphs. (French summary) 92f:05059 

Frank, Andrés Augmenting graphs to meet edge-connectivity requirements. 92j:05166 

Gould, Ronald J. see Faudree, Ralph J.; et al., 92k:05097 

Haglin, David J. see McCuaig, William D.; et al., 92f:05037 

Hamidoune, Yahya Ould (with Llad6, A. S.; Serra,O.) Vosperian and superconnected 
abelian Cayley digraphs. 92k:05058 

Hirst, Jeffry L. Connected components of graphs and reverse mathematics. 92j:03052 

Huhn, A. P. Well-orderings which are tight relative to a prescribed distance function. 
92j:04002 

Jackson, Bill (with Ordaz, Oscar) Chvatal-Erdés conditions for paths and cycles in graphs 
and digraphs. A survey. 92c:05090 

Jordan, Dirk Pseudozyklizitat von Produkten von Graphen. [Pseudocyclicity of products of 
graphs] 92d:05084 

Kanevsky, Arkady (with Ramachandran, Vijaya) Improved algorithms for graph four- 
connectivity. 92¢:68153 

Khuller, Samir (with Schieber, Baruch) Efficient parallel algorithms for testing k- 
connectivity and finding disjoint s-t paths in graphs. 92e:05110 

Klin, M. Kh. (with Zefirov, N.S.) Group theoretical approach to the investigation of 
reaction graphs for highly degenerate rearrangements of chemical compounds. II. 
Fundamental concepts. 92m:92024 

Lesniak, Linda see Faudree, Ralph J.; et al., 92k:05097 

Li, Jiong Sheng Score vectors of 3-strong tournaments. (Chinese) 92f:05044 

Liu, Xin? Properties of k-critically n-connected digraphs. (Chinese. English summary) 
92i:05102 

Liad6, A.S. see Hamidoune, Yahya Ould; et al., 92k:05058 

Luczak, Tomasz Size and connectivity of the k-core of a random graph. 92m:05171 

McCuaig, William D. (with Haglin, David J.; Venkatesan, Shankar M.) Contractible edges 
in 4-connected maximal planar graphs. 92f:05037 

Mohar, Bojan Eigenvalues, diameter, and mean distance in graphs. 924:05105 





05C40 


Monma, Clyde L. see Bienstock, Daniel; et al., 92c:90048 

Opatrny, J. (with Sotteau, D.) Linear congruential graphs. (see 92e:05002) 

Ordaz, Oscar see Jackson, Bill, 92c:05090 

Ramachandran, Vijaya see Kanevsky, Arkady, 92e:68153 

Robertson, Neil (with Seymour, P. D.) Graph minors. X. Obstructions to tree- 
decomposition. 92g:05158 

Schieber, Baruch see Khuller, Samir, 92e:05110 

Serra, O. see Hamidoune, Yahya Ould; et al., 92k:05058 

Seymour, P. D. see Robertson, Neil, 92g:05158 

Siegrist, K.T. see Amin, A. T.; et al., 92f:68011 

Silla, A. see Zverovich, I. E., 92e:05095 

Slater, P. J. see Amin, A. T.; et al., 92f:68011 

Sotteau, D. see Opatrny, J., (92e:05002) 

Thomassen, Carsten Infinite connected graphs with no end-preserving spanning trees. 
92k:05043 

Thuillier, Henri see Fouquet, Jean-Luc, 92f:05059 

Venkatesan, Shankar M. see McCuaig, William D.; et al., 92f:05037 

Voss, Heinz-Jiirgen Cycles with many diagonals in cyclically k-vertex-connected graphs. 
92k:05078 

Wa, Run Heng Characteristics of maximum critically h-connected graphs of order n when 
h>n/2. (Chinese. English summary) 92d:05077 

Xu, Jun Ming On the maximum number of edges of critically h-edge connected graphs 
and the structure of the largest such graphs. II. Properties of critically h-edge connected 
graphs and a characterization of the family of maximal critically 3-edge connected graphs. 
(Chinese. English summary) 

— The maximum size of critically h-edge-connected graphs with index number h + 1. 
(Chinese. English summary) 92b:05050 

Zefirov, N.S. see Klin, M. Kh., 92m:92024 

Zhan, Shi Ming On Hamiltonian line graphs and connectivity. 92d:05102 

Zhang, Li Min 4-regular graphs without 3-regular subgraphs. 92e:05094 

Zhang, Yu' A power law for connectedness of some random graphs at the critical point. 


Zverovich, I. E. (with Silla, A.) P-unigraphness in certain classes of graphs. (Russian) 
92e:05095 


05C45 Eulerian and Hamiltonian graphs 


Ainouche, Ahmed Four sufficient conditions for Hamiltonian graphs. 92d:05092 

— see also Ren, Shi Jun; et al. 

Alspach, Brian (with Bermond, Jean-Claude; Sotteau, D.) Decomposition into cycles. I. 
Hamilton decompositions. 92¢:05073 

Amar, Denise (with Flandrin, E.; Fournier, I.; Germa, A.) Pancyclism in Hamiltonian 
graphs. 92c:05099 

Ambartsumyan, O. A. see Asratyan, A. S.; et al., 92¢:05124 

Anderson, B. A. (with Leonard, P. A.) A class of self-orthogonal 2-sequencings. 92i:05137 

Asratyan, A.S. (with Ambartsumyan, O. A.; Sarkisyan, G. V.) Some local conditions for 
the Hamiltonicity and pancyclicity of a graph. (Russian. Armenian summary) 92g:05124 

Bauer, Douglas (with Broersma, H. J.; Veldman, Henk Jan) Around three lemmas in 
Hamiltonian graph theory. 92a:05081 

— (with Fan, Geng Hua; Veldman, Henk Jan) Hamiltonian properties of graphs with large 
neighborhood unions. 92k:05084 

Bermond, Jean-Claude see Alspach, Brian; et al., 92e:05073 

Bialostocki, A. (with Dierker, P.) On simple Hamiltonian cycles in a 2-colored complete 
graph. 92j:05118 

Bouchet, André x-transformations, local complementations and switching. 92a:05082 

Broersma, H. J. (with Veldman, Henk Jan) Restrictions on induced subgraphs ensuring 
Hamiltonicity or pancyclicity of K,,3-free graphs. 92g:05125 

— see also Bauer, Douglas; et al., 92a:05081 

Carr, Edward C. see Klerlein, Joseph B., 92m:05131 

Catlin, Paul A. (with Chen, Zhi-Hong) Non-super-Eulerian graphs with large size. 
92i:05138 

Chan, Mee Yee (with Lee, Shiang-Jen) On the existence of Hamiltonian circuits in faulty 
hypercubes. 92h:05082 

Chang, Maw Shang (with Tang, Chuan Yi; Lee, R. C. T.) 20-relative neighborhood graphs 
are Hamiltonian. 92c:05100 

Chen, Zhi-Hong Super-Eulerian graphs and the Petersen graph. 92b:05058 

— see also Catlin, Paul A., 92i:05138 

Chen, Zi Qi see Xue, Yao Fang; et al., 92i1:05146 

(Christofides, Nicos) see Ren, Shi Jun; et al. 

Corradi, Keresztély Hamilton-circuits in finite graphs. 92c:05101 

Curran, Stephen J. A generalization of a theorem of Rankin. 92m:05124 

Darbinyan, S. Kh. Hamiltonian and strongly Hamilton-connected digraphs. (Russian. 
Armenian summary) 92g:05126 

— A sufficient condition for the Hamiltonicity of digraphs. (Russian. Armenian summary) 
92i:05139 

Davison, J. Leslie Lyndon graphs are not Hamiltonian for n even. 92m:05125 

Dean, Nathaniel (with Gould, Ronald J.; Lindquester, Terri E.) On a generalization of 
Ore’s theorem for Hamiltonian-connected graphs. 92i:05140 

Deng, Xiao Tie see Zhu, Yong Jin; et al., 92k:05089 

Dierker, P. see Bialostocki, A., 92j:05118 

Dong, Jin Quan Some graphs with no Hamiltonian path graphs. (Chinese summary) 
92m:05126 

Du, Ding Zhu (with Hsu, D. Frank) On Hamiltonian consecutive-d digraphs. 92b:05059 

Fan, Geng Hua see Bauer, Douglas; et al., 92k:05084 

Fassbender, Bert On a generalization of a theorem of Nash-Williams. 92¢:05102 

Faudree, Ralph J. (with Gould, Ronald J.; Jacobson, Michael S.; Lesniak, Linda) Neighbor- 
hood unions and highly Hamiltonian graphs. 92d:05093 

— (with Gould, Ronald J.; Jacobson, Michael S.; Lesniak, Linda; Lindquester, Terri E.) A 
generalization of Dirac’s theorem for K(1,3)-free graphs. 92m:05127 


COMBINATORICS 


1992 


Flandrin, E. (with Jung, H. A.; Li, Hao!) Hamiltonism, degree sum and neighborhood 
intersections. 92g:05127 

— see also Amar, Denise; et al., 92c:05099 

Fleischner, Herbert (with Jackson, Bill) Compatible Euler tours in Eulerian digraphs. 
92¢:05074 


_— *® Eulerian graphs and related topics. Part 1. Vol. 2. 92f:05066 


Fournier, I. see Amar, Denise; et al., 92c:05099 

Friedman, Charles N. Detecting Hamiltonian cycles. 92h:05083 

Germa, A. see Amar, Denise; et al., 92c:05099 

Gould, Ronald J. Updating the Hamiltonian problem—a survey. 92m:05128 

— see also Faudree, Ralph J.; et al., 92d:05093; Dean, Nathaniel; et al., 92i:05140 and 
Faudree, Ralph J.; et al., 92m:05127 

Guia, Carlos (with Jackson, Bill; Ordaz, Oscar) Chvatal-Erdés condition for Hamilton 
cycles in digraphs with stability at most three. (Spanish summary) 92m:05129 

Hilton, Anthony J. W. Sufficient conditions for 2-edge-coloured graphs to have s edge- 
disjoint alternating Hamiltonian circuits. 92k:05085 

— Alternating Hamiltonian circuits in edge-coloured bipartite graphs. 92m:05130 

Horak, Peter Maximally non-Hamiltonian graphs. 92h:05084 

Hsu, D. Frank see Du, Ding Zhu, 92b:05059 

Huang, Yi Xiu On Hamiltonian decompositions of Cayley graphs on cyclic groups. 
92£:05067 

Jackson, Bill (with Ordaz, Oscar) On some conjectures on Hamiltonicity in digraphs. 

— (with Wormald, Nicholas C.) k-walks of graphs. 92g:05128 

— Neighborhood unions and Hamilton cycles. 92i:05141 

— see also Fleischner, Herbert, 92e:05074 and Guia, Carlos; et al., 92m:05129 

Jacobson, Michael S. see Faudree, Ralph J.; et al., 92d:05093 and 92m:05127 

Jiang, Chang Jun see Yan, Chun Gang; et al., 92d:05101 

Jung, H. A. (with Kyaw, Shwe; Wei, B.) Almost-Hamiltonian graphs. 92j:05119 

— see also Flandrin, E.; et al., 92g:05127 

Khachatryan, N. K. see Khasratyan, A. S., 92g:05129 

Khasratyan, A. S. (with Khachatryan, N. K.) Stable properties of graphs. 92g:05129 

Kirby, Edward C. On the recognition of structural features: some general problems 
illustrated by Hamiltonian paths in polyhexes. 92g:05130 

Klerlein, Joseph B. (with Carr, Edward C.) Hamiltonian cycles in C, x2 Cm. 92m:05131 

Knickerbocker, C. J. (with Lock, Patti Frazer; Sheard, Michael) On the structure of graphs 
uniquely Hamiltonian-connected from a vertex. 92d:05994 

Kyaw, Shwe see Jung, H. A.; et al., 92j:05119 

Lai, Hong-Jian Eulerian subgraphs in a class of graphs. 92d:05095 

Lee, R.C.T. see Chang, Maw Shang; et al., 92c:05100 

Lee, Shiang-Jen see Chan, Mee Yee, 92h:05082 

Leonard, P. A. see Anderson, B. A., 92i:05137 

Leont’ev, V. K. (with Sorokina,O.M.) Lengths of Hamiltonian cycles in a weighted graph. 
(Russian) 92¢:05103 

Lesniak, Linda see Faudree, Ralph J.; et al., 92d:05093 and 92m:05127 

Li, Hao! (with Zhu, Yong Jin) Edge-disjoint Hamilton cycles in graphs. 92j:05120 

— see also Flandrin, E.; et al., 92g:05127 

Lin, Yi Xun see Yuan, Jin Jiang; et al., 92k:05087 

Lindquester, Terri E. see Dean, Nathaniel; et al., 92i:05140 and Faudree, Ralph J.; et al., 
92m:05127 

Liu, Zhen Hong! (with Zhu, Yong Jin; Tian, Feng) Hamiltonian cycles in graphs. 
92d:05096 

Lock, Patti Frazer see Knickerbocker, C. J.; et al., 92d:05094 

Luo, Sheng Zheng see Ren, Shi Jun; et al. 

Manoussakis, Yannis Directed Hamiltonian graphs. 92m:05132 

Marczyk, A. (with Skupien, Zdzislaw) Maximum non-Hamiltonian tough graphs. 
92m:05133 

Meng, Jing Hua see Zhao, Lian Chang, 92j:05123 

Ordaz, Oscar see Guia, Carlos; et al., 92m:05129 and Jackson, Bill 

Paul, Michael Joseph (with Shershin, Carmen Baytan; Shershin, Anthony Connors) Notes 
on sufficient conditions for a graph to be Hamiltonian. 92i:05142 

Qin, Yu Sheng Generalized paths and cycles in bipartite tournaments. (Chinese. English 
summary) 92i:05143 

Ren, Shi Jun (with Luo, Sheng Zheng) On a conjecture of A. Ainouche and N. Christofides: 
“Semi-independence number of a graph and the existence of Hamiltonian circuits” 
[Discrete Appl. Math. 17 (1987), no. 3, 213-221; MR 88g:05082]. 

Riha, Stanislav A new proof of the theorem by Fleischner. 92d:05097 

Sarkisyan, G. V. see Asratyan, A. S.; et al., 92g:05124 

Schwarzler, Werner Being Hamiltonian is not a Tutte invariant. 92d:05098 

Sheard, Michael see Knickerbocker, C. J.; et al., 92d:05094 

Shepherd, F. Bruce Hamiltonicity in claw-free graphs. 92h:05085 

Shershin, Anthony Connors see Paul, Michael Joseph; et al., 92i:05142 

Shershin, Carmen Baytan see Paul, Michael Joseph; et al., 92i:05142 

Shi, Rong Hua Ore-type conditions for pancyclism of Hamiltonian graphs. (Chinese. 
English summary) 924d:05099 

Simpson, James E. Hamiltonian bipartite graphs. 92k:05086 

Skupieti, Zdzislaw see Marczyk, A., 92m:05133 

Song, Zeng Min see Zhang, Ke Min; et al., 92k:05088 

Sorokina, O. M. see Leont'ev, V. K., 92c:05103 

Sotteau, D. see Alspach, Brian; et al., 92e:05073 

Sprague, Alan P. Edge exchanges on Hamiltonian cycles in interval graphs. 92j:05121 

Stachowiak, Grzegorz Hamilton paths in graphs of linear extensions for unions of posets. 
92m:05134 

Stong, Richard A. Hamilton decompositions of Cartesian products of graphs. 92i:05144 

Tang, Chuan Yi see Chang, Maw Shang; et al., 92c:05100 

Tian, Feng (with Zang, Wen An) Bipancyclism in Hamiltonian bipartite graphs. 92j:05122 

— see also Liu, Zhen Hong'; et al., 92d:05096 and Zhu, Yong Jin; et al., 92k:05089 

Veldman, Henk Jan see Bauer, Douglas; et al., 92a:05081; Broersma, H. J., 92g:05125 and 
Bauer, Douglas; et al., 92k:05084 

Wallis, W. D. (with Wang, Zhi Jian') Hamilton cycles in Cartesian products. 92d:05100 

Wang, Jian Zhong! see Zhang, Ke Min; et al., 92k:05088 





133 1992 


Wang, Zhi Jian' see Wallis, W. D., 92d:05100 

Wei, B. see Jung, H. A.; et al., 92j:05119 

Wisztova, Elena On a Hamiltonian cycle of the fourth power of a connected graph. (Slovak 
summary) 92h:05086 

Wojda, A. Pawel (with Wozniak, Mariusz) Stability, total vertices and Hamiltonian cycles. 
92i:05145 

Wormald, Nicholas C. see Jackson, Bill, 92g:05128 

Woiniak, Mariusz see Wojda, A. Pawel, 92i:05145 

Xu, Jun Ming All connected circulants are Hamiltonian. 92e:05075 

Xue, Yao Fang (with Chen, Zi Qi) Hamilton cycle and dominating cycle in k-connected 
claw-free graphs. (Chinese summary) 92i:05146 

Yan, Chun Gang (with Jiang, Chang Jun) Hamiltonian decomposition of strong Cartesian 
products of graphs. (Chinese. English summary) 92d:05101 

Yang, Zhen Qi 1-factors F of bipartite graphs and Hamiltonian cycles through F . (Chinese. 
English summary) 92c:05104 

Yuan, Jin Jiang (with Lin, Yi Xun) Two results on Hamiltonian path graph P3(G). 
92k:05087 

Zang, Wen An see Tian, Feng; et al., 92j:05122 

Zhan, Shi Ming On Hamiltonian line graphs and connectivity. 92d:05102 

Zhang, Ke Min (with Song, Zeng Min; Wang, Jian Zhong!) Hamiltonian bipartite 
tournaments. (Chinese. English summary) 92k:05088 

Zhao, Lian Chang (with Meng, Jing Hua) A sufficient condition for Hamiltonian cycles in 
digraphs. 92j:05123 

Zhu, Yong Jin (with Tian, Feng; Deng, Xiao Tie) Further consideration on the Bondy- 
Chvatal’s closure theorems. 92k:05089 

— see also Liu, Zhen Hong}; et al., 92d:05096 and Li, Hao', 92):05120 


Items with secondary classifications in 05C45 


Alon, Noga The maximum number of Hamiltonian paths in tournaments. 92a:05059 

Alspach, Brian (with Rosenfeld, Moshe) On Hamilton decompositions of prisms over 
simple 3-polytopes. 92e:52014 

Bagga, Kunwarjit S. (with Owens, Frank W.) Low-dimensional middle cubes are Hamilton- 
ian. (see 92h:68004) 

Bau, Sheng Cycles containing a set of elements in cubic graphs. 92g:05116 

Bollobas, Béla (with Fenner, T. I.; Frieze, Alan M.) Hamilton cycles in random graphs of 
minimal degree at least k. 92k:05114 

Chakroun, N. (with Manoussakis, Manolis; Manoussakis, Yannis) Directed and antidi- 
rected Hamiltonian cycles and paths in bipartite graphs. 92d:05081 

— (with Sotteau, D.) Chvatal-Erdés theorem for digraphs. 92¢:05050 

Chang, Maw Shang (with Tang, Chuan Yi; Lee, R.C. T.) 20-relative neighborhood graphs 
are Hamiltonian. 92k:05075 

Chen, Chuan Ping (with Zhu, Yong Jin) On the longest cycles in a class of 3-connected 
graphs. 92f:05058 

Chen, Ming (with Filar, Jerzy A.) Hamiltonian cycles, quadratic programming, and ranking 
of extreme points. 92m:90052 

Cummings, L. J. (with Mays, Michael E.) On the parity of the Witt formula. 92i:05016 

Dang, Kai Qian Circumferences of k-regular 2-connected K,,3-free graphs. (Chinese. 
English summary) 92k:05067 

Demaria, Davide Carlo (with Gianella, Gian Mario) On normal tournaments with the least 
number of 3-cycles. 92a:05060 

Deng, Xiao Tie see Zhu, Yong Jin; et al., 92f:05055 

Fenner, T. I. see Bollobas, Béla; et al., 92k:05114 

Filar, Jerzy A. see Chen, Ming, 92m:90052 

Frieze, Alan M. (with Luczak, Tomasz) Hamiltonian cycles in a class of random graphs: 
one step further. 92a:05118 

— see also Bollobas, Béla; et al., 92k:05114 

Gallian, Joseph A. Circuits in directed grids. 92m:05111 

Gianella, Gian Mario see Demaria, Davide Carlo, 92a:05060 

Gould, Ronald J. (with Jacobson, Michael S.) Neighborhood intersections and a generaliza- 
tion of Ore’s theorem. 92i:05133 

Harnau, W. (with Jordan, Dirk) Longest cycles in circulant graphs. 92b:05055 

Hendry, George R. T. Path extendable graphs. 92b:05056 

Ho, Yong Song (with Lee, Sin-Min; Seah, Eric) On the edge-graceful (n, kn)-multigraphs 
conjecture. 92d:05138 

Horton, J.D. (with Nonay, G. M.) Self-orthogonal Hamilton path decompositions. 
92i:05159 

Ibaraki, Toshihide (with Poljak, Svatopluk) Weak three-linking in Eulerian digraphs. 
92a:05063 

Jackson, Bill (with Ord4z, Oscar) Chvatal-Erdés conditions for paths and cycles in graphs 
and digraphs. A survey. 92c:05090 

— Acharacterisation of graphs having three pairwise compatible Euler tours. 92m:05157 

Jacobson, Michael S. see Gould, Ronald J., 92i:05133 

Jendrof, Stanislav (with Kekenak, Roman) Longest circuits in triangular and quadrangular 
3-polytopes with two types of edges. 92m:05113 

Jog, Prasanna (with Suh, Jung Y.; Van Gucht, Dirk) Parallel generic algorithms applied to 
the traveling salesman problem. 92i:90064 

Jordan, Dirk see Harnau, W., 92b:05055 

Kekenak, Roman see Jendrof, Stanislav, 92m:05113 

Kravtsov, M. K. Polyhedral aspects of multi-index transportation problems with axial sums. 
(Russian) 92a:90034 

Lee, R.C.T. see Chang, Maw Shang; et al., 92k:05075 

Lee, Sin-Min see Ho, Yong Song; et al., 92d:05138 

Li, Qiao Some results and problems in graph theory. 92e:05051 

Libura, Marek Sensitivity analysis for minimum Hamiltonian path and traveling salesman 
problems. 92a:90017 

Luczak, Tomasz see Frieze, Alan M., 92a:05118 

Manoussakis, Manolis see Chakroun, N.; et al., 92d:05081 

Manoussakis, Yannis see Chakroun, N.; et al., 92d:05081 

Mays, Michael E. see Cummings, L. J., 92i1:05016 

McDiarmid, Colin Expected numbers at hitting times. 92m:05174 


05C Graph theory 


05C50 


Meijer, Henk (with Rappaport, David) Upper and lower bounds for the number of 
monotone crossing free Hamiltonian cycles from a set of points. 92d:05086 

Nonay, G. M. see Horton, J. D., 92i:05159 

Ordaz, Oscar see Jackson, Bill, 92c:05090 

Owens, Frank W. see Bagga, Kunwarjit S., (92h:68004) 

Peng, Yun The polyhedron of the rural postman problem. (Chinese. English summary) 
92h:90131 

Poljak, Svatopluk see Ibaraki, Toshihide, 92a:05063 

Pruesse, Gara (with Ruskey, Frank) Generating the linear extensions of certain posets by 
transpositions. 92d:06011 

Rappaport, David see Meijer, Henk, 92d:05086 

Rosenfeld, Moshe see Alspach, Brian, 92e:52014 

Ruskey, Frank see Pruesse, Gara, 92d:06011 

Seah, Eric Perfect one-factorizations of the complete graph—a survey. 92c:05119 

— see also Ho, Yong Song; et al., 924:05138 

Shiizuka, Hisao (with Tsukiyama, Shuji; Shirakawa, Isao) Properties of minimum ILFI 
graphs with Hamiltonian cycle. 924:05165 

Shirakawa, Isao see Shiizuka, Hisao; et al., 92d:05165 

Skupieti, Zdzislaw On tough maximally non-Hamiltonian graphs. (Russian summary) 
92h:05073 

Sotteau, D. see Chakroun, N., 92e:05050 

Suh, Jung Y. see Jog, Prasanna; et al., 92i:90064 

Tang, Chuan Yi see Chang, Maw Shang; et al., 92k:05075 

Tian, Feng see Zhu, Yong Jin; et al., 92f:05055 

Tsukiyama, Shuji see Shiizuka, Hisao; et al., 92d:05165 

Van Gucht, Dirk see Jog, Prasanna; et al., 92i1:90064 

V‘yalitsin, A. A. Enumeration of Hamiltonian cycles. (Russian) 92k:05063 

Wagner, David G. (with West, Julian) Construction of uniform Gray codes. 92i:94022 

West, Julian see Wagner, David G., 92i:94022 

Yin, Jia Hong Neighbourhood unions and Hamiltonian properties. (Chinese. English 
summary) 92g:05119 

Zhang, Cun Quan (with Zhu, Yong Jin) Long path connectivity of regular graphs. 
92k:05083 

Zhang, Jian Xun Hamiltonian cycle factorization of C/". (Chinese. English summary) 

Zhu, Yong Jin (with Tian, Feng; Deng, Xiao Tie) More powerful closure operations on 
graphs. 92f:05055 

— see also Chen, Chuan Ping, 92f:05058 and Zhang, Cun Quan, 92k:05083 


05C50 Graphs and matrices 


Alavi, Yousef (with Chartrand, Gary; Lick, Don R.; Swart, Henda C.) Highly regular graphs. 
92:05068 

Bakonyi, Mihai (with Constantinescu, Tiberiu) Inheritance principles for chordal graphs. 
92a:05083 

Bapat, R. B. (with Lal, A. K.) Path-positive graphs. 92c:05105 

Bonchev, Danail see Polansky, Oskar E., 92a:05088 

Brualdi, Richard A. (with Liu, Bo Lian) Hall exponents of Boolean matrices. 92a:05084 

Cao, Da Song see Chen, Jian Sheng; et al., 92d:05103 

Chartrand, Gary see Alavi, Yousef; et al., 92f:05068 

Chen, Jian Sheng (with Cao, Da Song) The sharp lower bound of the kth largest eigenvalue 
of a forest. (Chinese. English summary) 924:05103 

— Bounds for two classes of graph spectrum and proof of their conjectures. 

Chung, Fan R. K. (with Graham, Ronald L.) Quasi-random tournaments. 924:05104 

Constantinescu, Tiberiu see Bakonyi, Mihai, 92a:05083 

Cvetkovi¢, Dragos’ M. Some results on graph angles. 92¢:05076 

Delorme, Charles (with Solé, Patrick) Diameter, covering index, covering radius and 
eigenvalues. 92a:05085 

Fujii, Junichi (with Fujii, Masatoshi; Sasaoka, Hiromitsu; Watatani, Yasuo) The spectrum 
of an infinite directed graph. 92k:05090 

Fujii, Masatoshi see Fujii, Junichi; et al., 92k:05090 

Graham, Ronald L. see Chung, Fan R. K., 92d:05104 

Grone, Robert (with Merris, Russell) Ordering trees by algebraic connectivity. 92a:05086 

— On the geometry and Laplacian of a graph. 92f:05069 

Gutman, Ivan Characteristic and matching polynomials of some bipartite graphs. 92c:05106 

— see also Rosenfeld, V. R., 92g:05132 

Kitamura, Tai-ichi (with Nihei, Masakazu) On some sufficient conditions for a graph to 
have the eigenvalue of zero. 92c:05107 

Kolmykov, V. A. (with Subbotin, V. F.) Spectra of periodic graphs of “chain” type and 
alternation of the stability of hydrocarbons. (Russian) 92i:05147 

Lal, A. K. see Bapat, R. B., 92c:05105 

Lepovié, Mirko Maximal canonical graphs with 6 nonzero eigenvalues. (Serbo-Croatian 
summary) 92b:05060 

— On graphs whose energy does not exceed 4. 92i:05148 

Li, Wen The relationship of a regular splitting to a graph compatible splitting. 92a:05087 

Lick, Don R. see Alavi, Yousef; et al., 92f:05068 

Liu, Bo Lian (with Shao, Jia Yu) Characterization of primitive extremal matrices. 
92h:05087 

— see also Brualdi, Richard A., 92a:05084 

Liu, Mu Lan Homomorphisms of two-dimensional de Bruijn-Good graphs. (Chinese) 

Merris, Russell Almost all trees are co-immanantal. 92g:05131 

— The number of eigenvalues greater than two in the Laplacian spectrum of a graph. 
92h:05088 

— see also Grone, Robert, 92a:05086 

Mohar, Bojan Eigenvalues, diameter, and mean distance in graphs. 92d:05105 

Nihei, Masakazu see Kitamura, Tai-ichi, 92c:05107 

Nilli, Alon On the second eigenvalue of a graph. 92j:05124 

Petrovié, Miroslav M. On graphs with exactly one eigenvalue less than —1. 92j:05125 

Polansky, Oskar E. (with Bonchev, Danail) Theory of the Wiener number of graphs. II. 
Transfer graphs and some of their metric properties. 92a:05088 





05C50 


Rosenfeld, V.R. (with Gutman, Ivan) On the graph polynomials of a weighted graph. 
(Serbo-Croatian summary) 92g:05132 

Sasaoka, Hiromitsu see Fujii, Junichi; et al., 92k:05090 

Seidel, J. J. Graphs and their spectra. 92d:05106 

Shao, Jia Yu see Liu, Bo Lian; et al., 92h:05087 

Solé, Patrick see Delorme, Charles, 92a:05085 

Strunkov, S. P. A theorem of Cvetkovié in graph theory. (Russian) 92f:05070 

Subbotin, V. F. see Kolmykov, V. A., 92i:05147 

Swart, Henda C. see Alavi, Yousef; et al., 92f:05068 

Watatani, Yasuo see Fujii, Junichi; et al., 92k:05090 


Items with secondary classifications in 05C50 


Agha, Nader (with Hershkowitz, Daniel) The relation between the height and level 
characteristics for a matrix with simple singular vertices. 92g:15009 

Al-Khnaifes, Khaled (with Sachs, Horst) Graphs, linear equations, determinants, and the 
number of perfect matchings. 92i:05193 

Bevis, Jean H. (with Hall, Frank J.) LDL" factorizations of adjacency matrices where D is 
block diagonal. 92k:15033 

Bjorner, Anders (with Lovasz, Laszl6; Shor, Peter W.) Chip-firing games on graphs. 
92g:90193 

Brualdi, Richard A. The many facets of combinatorial matrix theory. (see 92a:15001) 

— (with Liu, Bo Lian) Fully indecomposable exponents of primitive matrices. 92b:05041 

Burkard, Rainer E. (with Van der Veen, J. A. A.) Universal conditions for algebraic 
travelling salesman problems to be efficiently solvable. 92g:90130 

Bussemaker, F.C. (with Cameron, Peter J.; Seidel, J. J.; Tsaranov, S. V.) * Tables of signed 
graphs. 92g:05001 

Cameron, Peter J. see Bussemaker, F. C.; et al., 92g:05001 

Cao, Da Song see Chen, Jian Sheng; et al., 92k:05066 

Chen, Jian Sheng (with Cao, Da Song) The bound on forest spectra. (Chinese summary) 
92k:05066 

Fiedler, Miroslav Laplacian of graphs and algebraic connectivity. 92¢:05069 

Friedman, Joel The spectra of infinite hypertrees. 92k:05096 

Fujii, Masatoshi (with Sasaoka, Hiromitsu; Watatani, Yasuo) The numerical radius of an 
infinite directed graph. 92g:47025 

Gerards, A.M. H. * Graphs and polyhedra. Binary spaces and cutting planes. 92f:52027 

Hall, Frank J. see Bevis, Jean H., 92k:15033 

Hao, Pei Feng Index calculation of primitive matrices with null diagonal elements. 
(Chinese. English summary) 92d:05032 

He, Wen Chen see He, Wen Jie, 92e:05116 

He, Wen Jie (with He, Wen Chen) A complete set of combination invariants of planar 
honeycomb graphs and its applications in chemistry. 92¢:05116 

Hershkowitz, Daniel (with Schneider, Hans) Combinatorial bases, derived Jordan sets and 
the equality of the height and level characteristics of an M-matrix. 92h:15008 

— see also Agha, Nader, 92g:15009 

Hughes, Daniel R. (with Singhi, N. M.) Partitions in matrices and graphs. 92k:05135 

Jiang, Zhi Min? (with Shao, Jia Yu) On the set of indices of convergence for reducible 
matrices. 92¢:15024 

Jin, Zhen see Li, Gui Rong; et al. 

Johnson, Charles Royal (with Lundquist, Michael E.) Numerical ranges for partial 
matrices. 92d:15021 

Kirkland, Steve Hypertournament matrices, score vectors and eigenvalues. 92¢:15017 

Lepovi¢é, Mirko Certain results on normal digraphs. (Serbo-Croatian summary) 92h:05061 

Li, Gui Rong (with Song, Wen Jie; Jin, Zhen) A complete characterization of symmetric 
primitive matrices with exponent 2n — 6. (Chinese. English summary) 

Lin, Guo Ning see Zhang, Fu Ji, 92c:05075 

Liu, Bo Lian see Brualdi, Richard A., 92b:05041 

Lovasz, Lészl6 see Bjérner, Anders; et al., 92g:90193 

Landquist, Michael E. see Johnson, Charles Royal, 92d:15021 

Maurota, Kazuo Computing Puiseux-series solutions to determinantal equations via 
combinatorial reiaxation. 92¢:68088 

Oral, Haluk Face-vertex incidence matrix of a cubic planar graph. 92h:05113 

— Constructing self-dual codes using graphs. 92d:94031 

Rowlinson, Peter On the characteristic polynomials of spirographs and related graphs. 
92g:92030 

Sachs, Horst see Al-Khnaifes, Khaled, 92i:05193 

Sasaoka, Hiromitsu see Fujii, Masatoshi; et al., 92g:47025 

Schneider, Hans see Hershkowitz, Daniel, 92h:15008 

Schumacher, Heinz On 1-embedding of complete graphs. 92h:05048 

Seidel, J. J. see Bussemaker, F. C.; et al., 92g:05001 

Shader, Bryan L. On tournament matrices. 92k:05056 

Shao, Jia Yu see Jiang, Zhi Min”, 92e:15024 

Shor, Peter W. see Bjérner, Anders; et al., 92g:90193 

Singhi, N. M. see Hughes, Daniel R., 92k:05135 

Sjogren, Jon A. Cycles and spanning trees. 92h:05039 

Song, Wen Jie see Li, Gui Rong; et al. 

Stuart, Jeffrey L. The partial order graph for a ZME-matrix. 92b:15031 

Tay, Tiong Seng Linking (n — 2)-dimensional panels in n-space. I. (k — 1, k)-graphs and 
(k — 1,k)-frames. 92j:52037 

Tsaranov, S. V. see Bussemaker, F. C.; et al., 92g:05001 

Van der Veen, J. A. A. see Burkard, Rainer E., 92g:90130 

Vince, Andrew Elementary divisors of graphs and matroids. 92h:05030 

Watatani, Yasuo see Fujii, Masatoshi; et al., 92g:47025 

Wei, Zi Luan see Wu, Li; et al., 92a:65147 

Wa, Li (with Wei, Zi Luan) The application of graph theory to sparse symmetric matrices. 
(Chinese) 928:65147 

Zhang, Fu Ji (with Lin, Guo Ning) The complexities of digraphs. 92¢:05075 


05C55 Generalized Ramsey theory 
Albertson, Michael O. (with Berman, David M.) Ramsey graphs without repeated degrees. 


COMBINATORICS 


92k:05091 

Alon, Noga Ramsey graphs cannot be defined by real polynomials. 92a:05090 

— (with Hajnal, Andras) Ramsey graphs contain many distinct induced subgraphs. 
92a:05089 

Beck, Jézsef On size Ramsey number of paths, trees and circuits. II. (see 92d:05172) 

Berman, David M. see Albertson, Michael O., 92k:05091 

Brown, Jason I. (with Rédl, Vojtéch) A Ramsey type problem concerning vertex colourings. 
92c:05108 

Buckley, Fred The growth of graph functions. 92c:05109 

Burr, Stefan A. On the computational complexity of Ramsey-type problems. (see 
924:05172) 

Caro, Yair On zero-sum delta-systems and multiple copies of hypergraphs. 92g:05133 

Cockayne, E. J. (with Hattingh, Johannes H.; Mynhardt, C. M.) The irredundant Ramsey 
number s(3,7). 92¢:05077 

— (with Exoo, Geoffrey; Hattingh, Johannes H.; Mynhardt, C. M.) The irredundant Ramsey 
number s(4, 4). 92m:05135 

Erdés, Paul (with Faudree, Ralph J.; Rousseau, C. C.; Schelp, R. H.) Multipartite graph- 
tree Ramsey numbers. 92d:05107 

— Problems and results on graphs and hypergraphs: similarities and differences. (see 
924:05172) 

Exoo, Geoffrey A lower bound for r(Ks; — e, Ks). 92a:05091 

— Applying optimization algorithms to Ramsey problems. 92i:05149 

— (with Harborth, Heiko; Mengersen, Ingrid) On Ramsey numbers of Kz». 92i:05150 

— Three color Ramsey number of K, — e. 92c:05110 

— see also Cockayne, E. J.; et al., 92m:05135 

Faudree, Ralph J. (with Rousseau, C. C.; Schelp, R. H.) A good idea in Ramsey theory. 
92k:05092 

— (with Rousseau, C. C.; Sheehan, John) Cycle-book Ramsey numbers. 924:05108 

— Ramsey minimal graphs for forests. 92i:05151 

— see also Erdés, Paul; et al., 92d:05107 

Frankl, Peter Constructive Ramsey bounds and intersection theorems for sets. (see 
924:05172) 

Gunderson, David S. (with Rédl, Vojtéch; Sauer, Norbert W.) Some results in finite graph 
Ramsey theory. 92k:05093 

Hajnal, Andras Embedding finite graphs into graphs colored with infinitely many colors. 
92j:05126 

— (with Komjath, Péter) Corrigendum to: “Embedding graphs into colored graphs” [Trans. 
Amer. Math. Soc. 307 (1988), no. 1, 395-409; MR 89e:05145]. 92m:05136 

— see also Alon, Noga, 92a:05089 

Harborth, Heiko see Exoo, Geoffrey; et al., 92i:05150 

Hattingh, Johannes H. On irredundant Ramsey numbers for graphs. 92d:05109 

— see also Cockayne, E. J.; et al., 92e:05077 and 92m:05135 

Hendry, George R. T. Critical colourings for Clancy’s Ramsey numbers. 92m:05137 

Kan, Jia Hai Lower bounds of Ramsey numbers. 92f:05071 

Komjath, Péter (with R6dl, Vojtéch) Coloring of universal graphs. 92e:05078 

— see also Hajnal, Andras, 92m:05136 

Kreher, Donald L. see Radziszowski, Stanistaw P., 92d:05110 

McKay, Brendan D. (with Radziszowski, Stanislaw P.) The first classical Ramsey number 
for hypergraphs is computed. (see 92b:68016) 

— (with Zhang, Ke Min) The value of the Ramsey number R(3,8). 92m:05138 

McNamara, James N. (with Radziszowski, Stanislaw P.) The Ramsey numbers R(K, — 
e, Kg — e) and R(K4 — e, K7 —e). 92k:05094 

Mengersen, Ingrid see Exoo, Geoffrey; et al., 92i:05150 

Mynhardt, C.M. Lower Ramsey numbers for graphs. 92g:05134 

— see also Cockayne, E. J.; et al., 92e:05077 and 92m:05135 

Nenov, Nedyalko A problem of Erdés and Hajnal in Ramsey theory. (Bulgarian) 92e:05079 

Radziszowski, Stanislaw P. (with Kreher, Donald L.) Minimum triangle-free graphs. 
92d:05110 

— see also McNamara, James N., 92k:05094 and McKay, Brendan D., (92b:68016) 

Rédl, Vojtéch see Brown, Jason I., 92c:05108; Komjath, Péter, 92e:05078 and Gunderson, 
David S.; et al., 92k:05093 

Rousseau, C.C. see Erdés, Paul; et al., 92d:05107; Faudree, Ralph J.; et al., 92d:05108 and 
92k:05092 

Rowlinson, Peter see Yang, Yuan Sheng, 92m:05141 

Sauer, Norbert W. see Gunderson, David S.; et al., 92k:05093 

Schelp, R. H. sze Erdés, Paul; et al., 92d:05107 and Faudree, Ralph J.; et al., 92k:05092 

Sheehan, John see Faudree, Ralph J.; et al., 92d:05108 

Sidorenko, A. F. On Ramsey-Turan numbers for 3-graphs. 92m:05139 

Spencer, Joel H. Uncrowded graphs. (see 92d:05172) 

Wang, Zhi Jian' A lower bound for mixed Ramsey numbers: total chromatic number versus 
stars. 92m:05140 

Yang, Yuan Sheng (with Rowlinson, Peter) On the third Ramsey numbers of graphs with 
five edges. 92m:05141 

Yu, Song-Nian A computer-assisted number theoretical construction of (3, k)-Ramsey 
graphs. 92e:05080 

Zhang, Ke Min see McKay, Brendan D., 92m:05138 


Items with secondary classifications in 05C55 

Alon, Noga (with Kleitman, Daniel J.; Lipton, Richard J.; Meshulam, Roy; Rabin, Michael 
O.; Spencer, Joel H.) Set systems with no union of cardinality 0 modulo m. 924:05168 

Bierbrauer, Jiirgen Weighted arcs, the finite Radon transform and a Ramsey problem. 
92g:51012 

Erdés, Paul (with Galvin, Fred) Some Ramsey-type theorems. 92b:05078 

Exoo, Geoffrey On isomorphic graph factoring. 92b:65063 

Galvin, Fred see Erdés, Paul, 92b:05078 

Kleitman, Daniel J. see Alon, Noga; et al., 92d:05168 

Lin, Xiao Hui see Zhang, Cheng Xue; et al., 92j:05080 

Lipton, Richard J. see Alon, Noga; et al., 92d:05168 

Meshulam, Roy see Alon, Noga; et al., 92d:05168 

(NeSetfil, Jaroslav) see Mathematics of Ramsey theory, 92d:05172 





135 1992 


Rabin, Michael O. see Alon, Noga; et al., 92d:05168 

(Rédl, Vojtéch) see Mathematics of Ramsey theory, 92d:05172 

Spencer, Joel H. see Alon, Noga; et al., 92d:05168 

Yang, Yuan Sheng see Zhang, Cheng Xue; et al., 92j:05080 

Zhang, Cheng Xue (with Lin, Xiao Hui; Yang, Yuan Sheng) A bound of Shen Lin and 
Irving for a graph-coloring constant. (Chinese. English summary) 92j:05080 


Items listed otherwise than by author 
Mathematics of Ramsey theory * Mathematics of Ramsey theory. 92d4:05172 


05C60 Isomorphism problems (reconstruction conjecture, perfect 
graphs, etc.) 

Alon, Noga (with Caro, Yair; Krasikov, I.; Roditty, Y.) Combinatorial reconstruction 
problems. 92a:05092 

Bautz, Manfred Zur Eindeutigkeit der Permutationsmatrix P bei Isomorphie zweier 
schlichter, gerichteter Graphen. (English and Russian summaries) [On the uniqueness of 
the permutation matrix P in the isomorphism of univalent, ordered graphs] 

Caro, Yair see Alon, Noga; et al., 92a:05092 

Csiszar, I. (with Kérner, Janos; Lovasz, Laszl6; Marton, K.; Simonyi, Gabor) Entropy 
splitting for antiblocking corners and perfect graphs. 92a:05093 

Demaria, Davide Carlo (with Guido, Cosimo) On the reconstruction of normal tourna- 
ments. 92f:05072 

Duchet, Pierre (with Olariu, Stephan) Graphes parfaitement ordonnables généralisés. 
(English summary) [Generalized perfectly orderable graphs] 92g:05135 

Ellingham, M.N. Vertex-switching, isomorphism, and pseudosimilarity. 92g:05136 

Guido, Cosimo see Demaria, Davide Carlo, 92f:05072 

Hsu, Cheng Ho (with Lam, Kin Tak) Topological code of graphs. 92j:05127 

Korner, Janos see Csiszér, 1.; et al., 92a:05093 

Krasikov, I. see Alon, Noga; et al., 92a:05092 

Kwak, Jin Ho (with Lee, Jaeun) Isomorphism classes of graph bundles. 92a:05094 

Lam, Kin Tak see Hsu, Cheng Ho, 92j:05127 

Lee, Jaeun see Kwak, Jin Ho, 92a:05094 

Lovasz, Lészlé see Csiszar, L.; et al., 922:05093 

Lubiw, Anna Short-chorded and perfect graphs. 92a:05095 

Eugen Strongly perfect products of graphs. 92d:05111 

Manvel, B. (with Meyerowitz, A. D.; Schwenk, Allen J.; Smith, Kenneth W.; Stockmeyer, P.) 
Reconstruction of sequences. 92h:05089 

Marton, K. see Csiszar, I.; et al., 92a:05093 

Meyerowitz, A. D. see Manvel, B.; et al., 92h:05089 

Nash-Williams, C. St. J. A. Reconstruction of infinite graphs. 92j:05128 

Nydl, V. A note on reconstructing of finite trees from small subtrees. 92c:05111 

Olariu, Stephan Some aspects of the semi-perfect elimination. 92d:05112 

— see also Duchet, Pierre, 92g:05135 

Ponomarenko, I. N. Recognition and testing of an isomorphism of cyclic tournaments in 
polynomial time. (Russian. English summary) 92g:05137 

Preissmann, Myriam Locally perfect graphs. 92a:05096 

Ramachandran, S. Elementary subdivisions and infinite graphs. 

Roditty, Y. see Alon, Noga; et al., 92a:05092 

Schwenk, Allen J. see Manvel, B.; et al., 92h:05089 

Seymour, P. D. On Lehman’s width-length characterization. 92d:05113 

Simonyi, Gabor see Csiszar, 1.; et al., 92a:05093 

Smith, Kenneth W. see Manvel, B.; et al., 92h:05089 

Stockmeyer, P. see Manvel, B.; et al., 92h:05089 

Tinhofer, G. A note on compact graphs. 92d:05114 

Tyurin, V.L. Reconstruction of a colored tree from the set of charts of peripheral vertices. 
(Russian. English summary) 92j:05129 

Yu, Xingxing On the cycle-isomorphism of graphs. 92d:05115 

Zhang, Jian Xun Reconstruction of separable graphs. (Chinese. English summary) 
92a:05097 

Zivkovié, Tomislav P. On graph isomorphism and graph automorphism. 92i:05152 


Items with secondary classifications in 05C60 

Campbell, Douglas M. (with Radford, David) Tree isomorphism algorithms: speed vs. 
clarity. 92g:05067 

Hagendorf, Jean Guillaume La reconstruction des chaines et des relations infinies. (English 
summary) [Reconstruction of infinite chains and relations] 92g:06001 

Hedetniemi, Stephen T. (with Laskar, R. C.) On irredundance, dimension, and rank of 
posets. 92¢:06011 

Hemachandra, Lane A. see Kratsch, Dieter, (92g:68007) 

Jamison, Beverly (with Olariu, Stephan) On a unique tree representation for P,-extendible 
graphs. 92k:05103 

Kratsch, Dieter (with Hemachandra, Lane A.) On the complexity of graph reconstruction. 
(see 92g:68007) 

Laskar, R.C. see Hedetniemi, Stephen T., 92e:06011 

Olariu, Stephan see Jamison, Beverly, 92k:05103 

Radford, David see Campbell, Douglas M., 92g:05067 

Schiffer, Alejandro A. Recognizing brittle graphs: remarks on a paper of Hoang and 
Khouzam. 92a:05121 

Silla, A. see Zverovich, I. E., 92e:05095 

Tuza, Zsolt Perfect graph decompositions. 924:05076 

Zhang, Hong Self-complementary symmetric graphs. 92k:05061 

Zverovich, I. E. (with Zverovich, V.E.) A characterization of domination perfect graphs. 
924:05136 

— (with Silla, A.) P-unigraphness in certain classes of graphs. (Russian) 92¢:05095 

— see also Zverovich, V. E., 92c:05131 

Zverovich, V.E. (with Zverovich, I. E.) Characterization of perfect dominant-clique graphs. 
(Russian. English summary) 92c:05131 

— see also Zverovich, 1. E., 92d:05136 


05C Graph theory 


05C65 


05C65 Hypergraphs 


Abbott, H. L. (with Hare, D. R.) Addendum to: “On the construction of color-critical linear 
hypergraphs” [Ars Combin. 28 (1989), 71-81; MR 90k:05111]}. 92c:05112 

Acharya, B. D. Interrelations among the notions of independence, domination and full sets 
in a hypergraph. 92c:05113 

Alon, Noga Transversal numbers of uniform hypergraphs. 92b:05061 

Azarenok, A.S. (with Sarvanov, V.I.) Planarity of hypergraphs with bounded parameters. 
(Russian. English summary) 92a:05098 

Batbedat, André Applications des isomorphismes HTS et HTE (vers la classification 
arborée). II. (English summary) [Applications of the isomorphisms HTS and HTE 
(toward an arbored classification). II] 92c:05114 

Burosch, Gustav (with Gronau, Hans-Dietrich O. F.; NeSetiil, Jaroslav) Minimal uniquely 
colourable hypergraphs. 92h:05090 

Caro, Yair (with Tuza, Zsolt) Hypergraph coverings and local colorings. 924:05116 

Chung, Fan R. K. Regularity lemmas for hypergraphs and quasi-randomness. 92d:05117 

Cong, Jingsheng see Wang, Gong Ben; et al., 92f:05073 

Cortez Morales, Walter Julio Whitney’s theorem: an extension. (Portuguese. English 
summary) 92g:05138 

Erdés, Paul (with Fiiredi, Zoltan; Tuza, Zsolt) Saturated r-uniform hypergraphs. 
92k:05095 

Friedman, Joel The spectra of infinite hypertrees. 92k:05096 

Firedi, Zoltén t-expansive and f-wise intersecting hypergraphs. 92i:05153 

— On r-graphs and r-multihypergraphs with given maximum degree. 92c:05115 

— see also Erdés, Paul; et al., 92k:05095 

Grable, David A. Two packing probl on k id trees. 92j:05130 

Gronau, Hans-Dietrich O. F. see Burosch, Gustav; et al., 92h:05090 

Gydarfas, Andrés (with Jacobson, Michael S.; Kinch, Lael; Lehel, Jené; Schelp, R. H.) 
Irregularity strength of uniform hypergraphs. 92m:05142 

Hare, D.R. see Abbott, H. L., 92c:05112 

Jacobson, Michael S. see Gyarfas, Andras; et al., 92m:05142 

Kinch, Lael see Gydrfas, Andras; et al., 92m:05142 

Lehel, Jené see Gyarfas, Andras; et al., 92m:05142 

Liu, Chung Laung see Wang, Gong Ben; et al., 92f:05073 

Marcu, Danut The middle graph of a hypergraph. 92e:05081 

NeSettil, Jaroslav see Burosch, Gustav; et al., 92h:05090 

Ryan, Jennifer Transversals of IIS-hypergraphs. 92j:05131 

Sarvanov, V.I. see Azarenok, A. S., 92a:05098 

Schelp, R. H. see Gydrfas, Andras; et al., 92m:05142 

Schindler, Christian Constructible hypergraphs. 92g:05139 

Shee, Sze Chin A characterization of point-colour-symmetric hypergraphs. 92a:05099 

Tuza, Zsolt Extensions of Gallai’s graph covering theorems for uniform hypergraphs. 
924:05118 

— see also Caro, Yair, 924:05116 and Erdés, Paul; et al., 92k:05095 

Wang, Gong Ben (with Liu, Chung Laung; Cong, Jingsheng) An extremal problem in 
colored uniform hypergraphs. 92f:05073 





Items with secondary classifications in 05C65 

Aigner, Martin (with Duffus, Dwight; Kleitman, Daniel J.) Partitioning a power set into 
union-free classes. 92f:05008 

Azar, Yossi Lower bounds for threshold and symmetric functions in parallel computation. 

Batbedat, André Les dissimilarités médas ou arbas. (English summary) [Meda and arba 
dissimilarities] 92b:92063 

Bauderon, Michel Infinite hypergraphs. I. Basic properties. (French summary) 92g:68089 

Bermond, Jean-Claude (with Bond, J.) Combinatorial designs and hypergraphs of diameter 
one. 92f:05033 

Bond, J. see Bermond, Jean-Claude, 92:05033 

Caro, Yair (with Tuza, Zsolt) An application of set-pair systems for multitransversals. 
92b:05079 

— (with Tuza, Zsolt) Improved lower bounds on k-independence. 92c:05080 

— On zero-sum delta-systems and multiple copies of hypergraphs. 92g:05133 

Duffus, Dwight see Aigner, Martin; et al., 92f:05008 

Erdés, Paul Problems and results on graphs and hypergraphs: similarities and differences. 
(see 92d:05172) 

— (with Hajnal, Andras; Tuza, Zsolt) Local constraints ensuring small representing sets. 
92k:05128 

Fraenkel, Aviezri S. (with Scheinerman, Edward R.) A deletion game on hypergraphs. 
92a:90102 

Firedi, Zoltan Maximal independent subsets in Steiner systems and in planar sets. 
92c:52006 

Galvin, Fred Hypergraph games and the chromatic number. 92i:05093 

Hajnal, Andrés see Erdés, Paul; et al., 92k:05128 

Ivanéo, J. An interpolation theorem for partitions which are indivisible with respect to 
cohereditary properties. 92c:05015 

Kan, Jia Hai Lower bounds of Ramsey numbers. 92f:05071 

Kleitman, Daniel J. see Aigner, Martin; et al., 92f:05008 

Kovalev, M. D. Convex sets and hypergraphs. (Russian) 92i:52003 

Kfiz, Igor Equivariant cohomology and lower bounds for chromatic numbers. 92m:05085 

McKay, Brendan D. (with Radziszowski, Stanislaw P.) The first classical Ramsey number 
for hypergraphs is computed. (see 92b:68016) 

Miller, L. L. Generating hinges from arbitrary subhypergraphs. 

Radhakrishnan, Jaikumar Improved bounds for covering complete uniform hypergraphs. 
92m:68095 

Radziszowski, Stanislaw P. see McKay, Brendan D., (92b:68016) 

Scheinerman, Edward R. see Fraenkel, Aviezri S., 92a:90102 

Seymour, P. D. On Lehman’s width-length characterization. 92d:05113 

Spencer, Joel H. Uncrowded graphs. (see 924:05172) 

Tay, Tiong Seng Linking (nm — 2)-dimensional panels in n-space. I. (k — 1, k)-graphs and 
(kK —1,k)-frames. 92j:52037 

Tomescu, Ioan Some extremal results concerning the number of graph and hypergraph 





05C65 


colorings. 92b:05039 
Tuza, Zsolt see Caro, Yair, 92b:05079; 92c:05080 and Erdés, Paul; et al., 92k:05128 


05C70 Factorization, matching, covering and packing 


Abeledo, Hernan (with Isaak, Garth) A characterization of graphs that ensure the existence 
of stable matchings. 92g:05140 

Alon, Noga (with Brualdi, Richard A.; Shader, Bryan L.) Multicolored forests in bipartite 
decompositions of graphs. 92i:05154 

Alspach, Brian (with George, J.C.) One-factorizations of tensor products of graphs. 
924:05119 

Anderson, Ian Kirkman and GK2,. 

Andreae, Thomas (with Schughart, Martin; Tuza, Zsolt) Clique-transversal sets of line 
graphs and complements of line graphs. 92a:05100 

Arumugam, S. see Pakkiam, C., 92m:05151 

Bae, Yongju (with Park, Chan Young) On cycle double cover conjecture. 92e:05082 

— (with Park, Chan Young) Correction to: “On cycle double cover conjecture” [Kyungpook 
Math. J. 30 (1990), no. 2, 163-169; MR 92e:05082]. 92j:05132 

Bai, Guo Qiang see Ma, Run Nian; et al., 92h:05100 

Bartha, Miklés (with Gombas, Eva) A structure theorem for maximum internal matchings 
in graphs. 92m:05143 

Boros, Endre (with Jungnickel, Dieter; Vanstone, Scott A.) The existence of nontrivial 
hyperfactorizations of K2,. 92f:05074 

Brigham, Robert C. see Carrington, Julie R., 92j:05133 

Brualdi, Richard A. see Alon, Noga; et al., 92i:05154 

Bryant, Roy D. (with Fredricksen, E. R.; Fredricksen, Harold) Covering graphs. 92h:05091 

— (with Fredricksen, Harold) Covering the de Bruijn graph. 92h:05092 

Caccetta, L. (with Mardiyono, S.) On maximal sets of one-factors. 92i:05155 

— (with Purwanto) Deficiencies of r-regular k-edge-connected graphs. 92m:05144 

Cai, Mao Cheng Restricted covering of digraphs with arborescences. 92a:05101 

— On some factor theorems of graphs. 92h:05093 

— [a, b]-factorizations of graphs. 92g:05147 

Cai, Xiao Tao A note on matchings of bipartite graphs. 92d:05120 

Carrington, Julie R. (with Brigham, Robert C.) Factor domination. 92j:05133 

Cassel, Lillian N. A heuristic approach to the vertex cover problem. 92g:05141 

Catlin, Paul A. Double cycle covers and the Petersen graph. II. 92j:05134 

Cerdeira, J. Orestes Covering the vertices of a graph with k disjoint cycles in the vertices. 
(Portuguese) (see 92g:00025) 

Chen, Bor Liang (with Fu, Héng Lin; Huang, Kuo Ching) Decomposing graphs into forests 
of paths with size less than three. 92j:05135 

Chen, Ci Ping Extensions of some theorems on 1-factors. 92m:05145 

— Some results on d-defect matchings in graphs. (Chinese) 92b:05062 

— Asurvey of parity factors. 92h:05094 

— f-star factors with given properties. (Chinese) 92d:05121 

Chen, Huai Tang see Ma, Ke Jie; et al., 92f:05078 

Chen, Rong Si see Zhang, Fu Ji; et al., 92i:05166 

Chen, William Y.C. Maximum (g, /)-factors of a general graph. 92d:05122 

Chernyak, A. A. (with Chernyak, Zh. A.) Split dimension of graphs. 92j:05136 

Chernyak, Zh. A. see Chernyak, A. A., 92j:05136 

Chinn, Phyllis Z. (with Richter, R. Bruce) Decomposition of graphs into nonisomorphic 
matchings. 92h:05095 

— (with Richter, R. Bruce; Truszczyfski, Miroslaw) Primal graphs with small degrees. 
924:05123 

Choudum, S. A. (with Paulraj, M.S.) Regular factors in K,,3-free graphs. 92j:05137 

Constantine, Gregory M. see Farrell, E. J.; et al., 92d:05124 

Currie, James D. (with Nowakowski, Richard J.) A characterization of fractionally well- 
covered graphs. 92c:05116 

Dean, Nathaniel The matching extendability of surfaces. 92m:05146 

Egawa, Yoshimi (with Ota, Katsuhiro) Regular factors in K,,,-free graphs. 92j:05138 

Enomoto, Hikoe Toughness and the existence of k-factors. II. 92e:05083 

— A review of connectivity and k-factors. 92e:05084 

Erdés, Paul (with Gyarfas, Andras; Pyber, L.) Vertex coverings by monochromatic cycles 
and trees. 92g:05142 

Exoo, Geoffrey On isomorphic graph factoring. 92b:05063 

Fan, Geng Hua Integer flows and cycle covers. 92m:05147 

Farrell, E. J. (with Guo, Jing Ming; Constantine, Gregory M.) On matching coefficients. 
92d:05124 

Faudree, Ralph J. (with Gould, Ronald J.; Lesniak, Linda) Neighborhood conditions and 
edge-disjoint perfect matchings. 92k:05097 

Forbes, M. A. (with Holt, J. N.; Kilby, P. J.; Watts, A.M.) A matching algorithm with 
application to bus operations. 92m:05148 

Fraisse, Pierre (with Hell, Pavol; Kirkpatrick, David G.) A note on f-factors in directed 
and undirected multigraphs. 92j:05139 

Fredricksen, E.R. see Bryant, Roy D.; et al., 92h:05091 

Fredricksen, Harold see Bryant, Roy D.; et al., 92h:05091 and 92h:05092 

Fu, Héng Lin see Chen, Bor Liang; et al., 92j:05135 

George, J.C. see Alspach, Brian, 924:05119 

Gionfriddo, Mario (with Lindner, C. C.; Rodger, C. A.) 2-colouring K4 — e designs. 
92f:05075 

Gombds, Eva see Bartha, Miklés, 92m:05143 

Gould, Ronald J. see Faudree, Ralph J.; et al., 92k:05097 

Gregory, David A. (with Pullman, Norman J.; Jones, Kathryn F.; Lundgren, J. Richard) 
Biclique coverings of regular bigraphs and minimum semiring ranks of regular matrices. 
92g:05143 

Guldan, Filip Acyclic chromatic index and linear arboricity of graphs. 92¢:05117 

Guo, Jing Ming see Farrell, E. J.; et al., 92d:05124 

Guo, Zhi Yi (with Zeng, Dao Zhi; Zhang, Jian Ping!) Matching uniqueness of graphs 
having the degree sequence (4', 2?-'). (Chinese. English summary) 92i:05156 

Gutman, Ivan A property of the number of perfect matchings of a graph. 92g:05144 

Gyarfas, Andras see Erdés, Paul; et al., 92g:05142 


COMBINATORICS 1992 136 


Hakimi, S. Louis (with Schmeichel, Edward; Weinstein, J.) Partitioning planar graphs into 
independent sets and forests. 92h:05096 

Harary, Frank (with Maddox, Randall; Staton, William) On the point linear arboricity of a 
graph. 92i:05157 

Haynes, Teresa W. see Lawson, Linda M., 92h:05099 

Heinrich, Katherine (with Kobayashi, Midori; Nakamura, Gisaku) Dudeney’s round table 
problem. 92m:05149 

Hell, Pavol see Fraisse, Pierre; et al., 92j:05139 

Hoffman, D. G. (with Wallis, W. D.) Addendum to: “Packing complete graphs with 
squares” [Bull. Inst. Combin. Appl. 1 (1991), 89-92]. 

— (with Schellenberg, P. J.) The existence of C,-factorizations of Kz, — F. 92k:05098 

Hoffman, Frederick (with Locke, S. C.; Meyerowitz, A. D.) A note on cycle double covers in 
Cayley graphs. 92g:05145 

Hofmeister, M. Concrete graph covering projections. 92i:05158 

Holt, J. N. see Forbes, M. A.; et al., 92m:05148 

Horton, J.D. (with Nonay, G. M.) Self-orthogonal Hamilton path decompositions. 
92i:05159 

— A hyperfactorization of order 8, index 2. 

Hosoya, Haruo Factorization and recursion relations of the matching and characteristic 
polynomials of periodic polymer networks. 92¢:05085 

Hsii, Li Hsing see Huang, Hsiu Fen, 92a:05102 

Hu, Guan Zhang (with Wang, Mei Qing) An optimal C-matching problem. (Chinese. 
English summary) 92k:05099 

Huang, Hsiu Fen (with Hsii, Li Hsing) Capacity equivalent class for graph with fixed odd 
girth. 92a:05102 

Huang, Kuo Ching see Chen, Bor Liang; et al., 92j:05135 

Huang, Qing Xue On the decomposition of K, into complete m-partite graphs. 92a:05103 

Hurkens, C. A. J. On the diameter of the edge cover polytope. 92d:05125 

Isaak, Garth see Abeledo, Hernan, 92g:05140 

Jacobson, Michael S. (with Truszczynski, Miroslaw; Tuza, Zsolt) Decompositions of 
regular bipartite graphs. 92¢:05086 

Jin, Guo Ping see Liu, Zhen Hong!; et al., 92c:05118 

Joentgen, Arno (with Volkmann, Lutz) Factors of locally almost regular graphs. 92m:05150 

Jones, Kathryn F. see Gregory, David A.; et al., 92g:05143 

Jungnickel, Dieter see Boros, Endre; et al., 92:05074 

Kainen, Paul C. Arboricity and edge partitions. 92h:05097 

Kano, Mikio Regular subgraphs of a regular graph. 92h:05098 

— A sufficient condition for a graph to have [a, b]-factors. 92b:05064 

Kilby, P. J. see Forbes, M. A.; et al., 92m:05148 

Kirkpatrick, David G. see Fraisse, Pierre; et al., 92j:05139 

Kobayashi, Midori see Heinrich, Katherine; et al., 92m:05149 

Lai, Hong-Jian (with Lai, Hongyuan) Cycle covers in graphs without subdivisions of K4. 
92d:05126 

— (with Lai, Hongyuan) Cycle covering of plane triangulations. 92i:05160 

Lai, Hongyuan see Lai, Hong-Jian, 92d:05126 and 92i:05160 

Lawson, Linda M. (with Haynes, Teresa W.) Changing and unchanging of the node 
covering number of a graph. 92h:05099 

Lesniak, Linda see Faudree, Ralph J.; et al., 92k:05097 

Li, Deng Xin Cycle decomposition of K2,,,;. (Chinese. English summary) 

Lin, Cui Qin Isomorphic factorization of graphs—a survey and unsolved problems. 
(Chinese. English summary) 92f:05076 

Lindner, C.C. see Gionfriddo, Mario; et al., 92f:05075 

Little, C. H.C. (with Rendl, Franz) Operations preserving the Pfaffian property of a graph. 
924:05127 

Liu, Zhen Hong! (with Jin, Guo Ping; Wang, Chang Fan) Parity-factor and its covering. 
92c:05118 

Lizzio, Angelo (with Milici, Salvatore; Quattrocchi, Gaetano) On a decomposition of 2Kp. 
92:05077 

Locke, S.C. see Hoffman, Frederick; et al., 92g:05145 

Lovasz, Laszlé (with Plummer, Michael D.) Some recent results on graph matching. 
92e:05087 

— Singular spaces of matrices and their application in combinatorics. 92i:05161 

Lundgren, J. Richard see Gregory, David A.; et al., 92g:05143 

Ma, Ke Jie (with Chen, Huai Tang) A new decomposition of graphs. (Chinese. English 
summary) 92f:05078 

Ma, Run Nian (with Bai, Guo Qiang) (g, f)-factorizations of graphs. (Chinese. English 
summary) 92h:05100 

Maddox, Randall see Harary, Frank; et al., 92i:05157 

Major, Glenna E. (with McMorris, F.R.) p-edge clique coverings of graphs. 92i:05162 

Marcotte, Odile (with Seymour, P.D.) Extending an edge-coloring. 92d:05128 

Marcu, Danut Note on the decomposition of complete graphs into factors with diameter 
two. 

Mardiyono, S. see Caccetta, L., 92i:05155 

McMorris, F. R. see Major, Glenna E., 92i:05162 

Meyerowitz, A. D. see Hoffman, Frederick; et al., 92g:05145 

Michael, T.S. The decomposition of the complete graph into three isomorphic strongly 
regular graphs. 92j:05140 

Milici, Salvatore see Lizzio, Angelo; et al., 92f:05077 

Nakamura, Gisaku see Heinrich, Katherine; et al., 92m:05149 

Ning, Qi On the star packing problem. 92g:05146 

Nishimura, Tsuyoshi Regular factors of line graphs. II. 92i:05163 

Nonay, G. M. see Horton, J. D., 92i:05159 

Nowakowski, Richard J. see Currie, James D., 92c:05116 

Ota, Katsuhiro see Egawa, Yoshimi, 92j:05138 

Pakkiam, C. (with Arumugam, S.) The graphoidal covering number of unicyclic graphs. 
92m:05151 

Park, Chan Young see Bae, Yongju, 92¢:05082 and 92j:05132 

Paulraj, M.S. see Choudum, S. A., 92j:05137 

Piotrowski, W.-L. The solution of the bipartite analogue of the Oberwolfach problem. 
92j:05141 





1992 


Plummer, Michael D. Degree sums, neighborhood unions and matching extension in graphs. 
92£:05079 

— Matching extension in regular graphs. 92g:05148 

— see also Lovasz, Laszl6, 92e:05087 

Pullman, Norman J. see Gregory, David A.; et al., 92g:05143 

Purwanto see Caccetta, L., 92m:05144 

Pyber, L. see Erdés, Paul; et al., 92g:05142 

Quattrocchi, Gaetano see Lizzio, Angelo; et al., 92f:05077 

Ramras, Mark Symmetric edge-decompositions of hypercubes. 92g:05149 

— Symmetric vertex partitions of hypercubes by isometric trees. 92m:05152 

Raspaud, André Cycle covers of graphs with a nowhere-zero 4-flow. 92h:05101 

Rendl, Franz see Little, C. H. C., 92d:05127 

Renteria, Carlos (with Tapia-Recillas, Horacio) A note on perfect matchings. 92j:05142 

Richter, R. Bruce see Chinn, Phyllis Z.; et al., 92d:05123 and 92h:05095 

Roberts, Fred S. see de Werra, D., 92e:05090 

Rodger, C. A. see Gionfriddo, Mario; et al., 92f:05075 

Ruiz, Mari-Jo P. Component factorability of point-color-symmetric graphs. 92j:05143 

Sachs, Horst Counting perfect matchings in lattice graphs. (see 91m:05005) 

Saito, Akira One-factors and k-factors. 92k:05100 

Schellenberg, P. J. see Hoffman, D. G., 92k:05098 

Schmeichel, Edward see Hakimi, S. Louis; et al., 92h:05096 

Schughart, Martin see Andreae, Thomas; et al., 92a:05100 

Seah, Eric Perfect one-factorizations of the complete graph—a survey. 92c:05119 

Seymour, P. D. see Marcotte, Odile, 92d:05128 

Shader, Bryan L. see Alon, Noga; et al., 92i:05154 

Sheehan, John Graph decomposition with constraints on connectivity and minimum 
degree. 92e:05088 

Shi, Yong Bing P,-factors and C4-factors of graphs. (Chinese. English summary) 92c:05120 

Song, Zeng Min (with Zhang, Ke Min) A new assignment model and its algorithm. 
92m:05153 

Staton, William see Harary, Frank; et al., 92i:05157 

Tapia-Recillas, Horacio see Renteria, Carlos, 92j:05142 

Topp, Jerzy (with Volkmann, Lutz) On packing and covering numbers of graphs. 
92h:05102 

Trubin, V. A. On the determination of graph strength. (Russian) 92c:05121 

Truszezyiiski, Mirosiaw see Chinn, Phyllis Z.; et al., 92d:05123 and Jacobson, Michael S.; et 

92e:05086 


al., 92e: 

Tsuruno, Reiji see Ushio, Kazuhiko, 92i1:05164 

Tuza, Zsolt see Andreae, Thomas; et al., 92a:05100 and Jacobson, Michael S.; et al., 
92e:05086 

Ushio, Kazuhiko (with Tsuruno, Reiji) Cyclic Sx-factorization of complete bipartite 
graphs. 92i:05164 

— (with Tsuruno, Reiji) Common transversal sets and a 1-factorization algorithm of regular 
bipartite graphs. 

Vanstone, Scott A. see Boros, Endre; et al., 92f:05074 

Vince, Andrew (with Wilson, Stephen E.) Dyck’s map (3,7)s is a counterexample to a clique 
covering conjecture. 92i:05165 

Volkmann, Lutz Simple reduction theorems for finding minimum coverings and minimum 
dominating sets. 92f:05080 

— see also Topp, Jerzy, 92h:05102 and Joentgen, Arno, 92m:05150 

Wallis, W. D. (with Wu, Ju Lin) Generalized clique coverings of chordal graphs. 92¢:05089 

— The lengths of trains. 92h:05103 

— see also Hoffman, D. G. 

Wang, Chang Fan see Liu, Zhen Hong’; et al., 92c:05118 

Wang, Jian Fang see Zhang, Zhong Fu; et al., 92d:05130 

Wang, Mei Qing see Hu, Guan Zhang; et al., 92k:05099 

Wang, Tian Ming (with Yang, Li Min) Enumeration of ideal subgraphs. 92h:05104 

Watts, A. M. see Forbes, M. A.; et al., 92m:05148 

Weinstein, J. see Hakimi, S. Louis; et al., 92h:05096 

de Werra, D. (with Roberts, Fred S.) On the use of augmenting chains in chain packings. 
92e:05090 

Wilson, Stephen E. see Vince, Andrew, 92i:05165 

Wa, Jian Liang The ascending decomposition of ladder graphs and Mobius ladder graphs. 
(Chinese. English summary) 92h:05105 

Wu, JuLin see Wallis, W. D., 92e:05089 

Yang, Li Min see Wang, Tian Ming, 92h:05104 

Yu, Min-Li Almost resolvable P,-decompositions of complete graphs. 92m:05154 

Yu, Qing Lin t-matching covers and degrees. 92h:05106 

Zadoyan, K. V. * CnoxuocTs 3afa4n pas6ueHua MHOKecTsBa Hye Gynesot byHKIMH Ha 
HellepecekalomHeca NoAMHOxecTBa. (Russian) [Complexity of a problem of partitioning 
a set of zeros of a Boolean function into disjoint subsets] 92h:05107 

Zelinka, Bohdan Edge-domatic numbers of cacti. (Czech summary) 92c:05122 

— Total edge-domatic number of a graph. (Czech summary) 92d:05129 

Zeng, Dao Zhi see Guo, Zhi Yi; et al., 92i:05156 

Zhang, Fu Ji (with Chen, Rong Si) The correspondence between the set of perfect 
matchings and the set of covers of hexagonal systems. (Chinese summary) 92i:05166 

Zhang, Jian Ping’ see Guo, Zhi Yi; et al., 92i:05156 

Zhang, Jian Xun Hamiltonian cycle factorization of C/". (Chinese. English summary) 

Zhang, Ke Min see Song, Zeng Min, 92m:05153 

Zhang, Zhong Fu (with Wang, Jian Fang) The relation between the arboricity and the 
clique covering number of a graph. (Chinese. English summary) 92d:05130 

Zhao, Cheng The disjoint 1-factors of (d,d + 1)-graphs. 92d:05131 


Items with secondary classifications in 05C70 

Adhar, Gur S. (with Peng, Shietung) A parallel algorithm for maximum matching in 
cographs. 92h:05123 

Akiyama, Jin (with Chvatal, VaSek) Packing paths perfectly. 92a:68114 

Alspach, Brian (with Heinrich, Katherine) Matching designs. 92i:05063 

— (with Wang, Zhi Jian') A note on the amida number of a regular graph. 924:05079 


05C Graph theory 


05C70 


Amar, Denise (with Raspaud, André) Covering the vertices of a digraph by cycles of 
prescribed length. 92c:05066 

Anderson, B. A. (with Leonard, P. A.) A class of self-orthogonal 2-sequencings. 92i:05137 

Barahona, Francisco Planar multicommodity flows, max cut, and the Chinese postman 
problem. $2g:05165 

Bondy, J. A. Small cycle double covers of graphs. 92e:05063 

Borowiecki, Mieczystaw (with Michalak, Danuta) On Hallian digraphs and their binding 
number. 92b:05040 

Brouwer, A. E. A note on completely regular codes. 92d:94034 

Chen, Rong Si see Zhang, Fu Ji, 92b:92060 

Chvatal, VaSek see Akiyama, Jin, 92a:68114 

Czyzowicz, Jurek (with Rival, Ivan; Urrutia, Jorge) Galleries and light matchings: fat 
cooperative guards. 92j:52024 

Deng, Xiao Tie see Zhu, Yong Jin; et al., 92k:05089 

Etzion, Tuvi see Golomb, Solomon W.; et al., 92c:05032 

Fan, Jian Yun see Zhang, Zhong Fu; et al., 92a:05109 

Golomb, Solomon W. (with Etzion, Tuvi; Taylor, Herbert) Polygonal path constructions for 
Tuscan-k squares. 92c:05032 

Gutman, Ivan Characteristic and matching polynomials of some bipartite graphs. 92c:05106 

— (with Kennedy, John W.; Quintas, Louis V.) Perfect matchings in random hexagonal 
chain graphs. 92g:92025 

— (with Kirby, Edward C.) Three theorems on branching graphs. 92k:92027 

— see also Petrovié, Miroslav M.; et al., 92i:05177 

Guy, Richard K. (with Nowakowski, Richard J.) The outerthickness & outercoarseness of 
graphs. II. The complete bipartite graph. 92k:05044b 

— (with Nowakowski, Richard J.) The outerthickness & outercoarseness of graphs. I. The 
complete graph & the n-cube. 92k:05044a 

Halton, John H. On the thickness of graphs of given degree. 92b:05029 

Hare, Eleanor O. (with Hare, William R.) k-packing of Pm, x P,. 92i:05202 

Hare, William R. see Hare, Eleanor O., 92i:05202 

Heinrich, Katherine see Alspach, Brian, 92i:05063 

Hilton, Anthony J. W. (with Rodger, C. A.) Edge-colouring graphs and embedding partial 
triple systems of even index. 92c:05027 

Hosoya, Haruo see Narumi, Hideyuki; et al., 92f:82012 

Ibaraki, Toshihide see Masuyama, Shigeru, 92j:68098 

Jackson, Bill Shortest circuit covers and postman tours in graphs with a nowhere zero 4- 
flow. 92d:90026 

Jayaram, S. R. (with Kwong, Y. H. Harris; Straight, H. Joseph) Neighbourhood sets in 
graphs. 92b:05047 

Jorgensen, L. K. (with Pyber, L.) Covering a graph by topological complete subgraphs. 
92b:05049 

Kaneko, Atsushi Paths and cycles concerning independent edges. 92h:05076 

Kennedy, John W. see Gutman, Ivan; et al., 92g:92025 

Kirby, Edward C. see Gutman, Ivan, 92k:92027 

Kostochka, A. V. Matchings in random spanning subgraphs of cubelike graphs. 92c:05137 

Kriz, Igor (with Thomas, Robin) The Menger-like property of the tree-width of infinite 
graphs. 92c:05047 

Kwong, Y. H. Harris see Jayaram, S. R.; et al., 92b:05047 

Leonard, P. A. see Anderson, B. A., 92i:05137 

Lepovié, Mirko see Petrovi¢, Miroslav M.; et al., 92i:05177 

Liebler, Robert A. The classification of distance-transitive graphs of type q - Kz,g. 92¢:05078 

Lin, Guo Ning see Zhang, Fu Ji; et al., 92g:92031 

Lindner, C.C. (with Street, Anne Penfold) The Stern-Lenz theorem: background and 
applications. 92m:05030 

Lingas, Andrzej An unfeasible matching problem. 92i:05205 

Liu, Jiu Qiang (with Schwenk, Allen J.) The number of multicolored trees in acyclic 
multiclique decompositions. 92j:05053 

Liu, Wei-Ping (with Rival, Ivan) Inversions, cuts, and orientations. 92b:06009 

Marcotte, Odile Exact edge-colorings of graphs without prescribed minors. 92c:05061 

Masuyama, Shigeru (with Ibaraki, Toshihide) Chain packing in graphs. 92j:68098 

— On the tree packing problem. 92h:05127 

McDiarmid, Colin (with Reed, Bruce) Linear arboricity of random regular graphs. 
92m:05173 

Michalak, Danuta see Borowiecki, Mieczystaw, 92b:05040 

Mo, Zhuguo (with Williams, Kenneth L.) On the complexity of finding K disjoint 
maximum matchings. 92g:05168 

Miiller, Haiko Alternating cycle-free matchings. 92f:68137 

Murakami, Hiroshi see Narumi, Hideyuki; et al., 92f:82012 

Murphy, Owen J. Lower bounds on the stability number of graphs computed in terms of 
degrees. 92k:05072 

Narumi, Hideyuki (with Hosoya, Haruo; Murakami, Hiroshi) Generalized expression for 
the numbers of perfect matching of cylindrical m x n graphs. 92f:82012 

Nedela, Roman On a problem from extremal graph theory. (Russian and Slovak summaries) 
92a:05070 

Nowakowski, Richard J. see Guy, Richard K., 92k:05044a and 92k:05044b 

Peng, Shietung see Adhar, Gur S., 92h:05123 

Petrovi¢, Miroslav M. (with Gutman, Ivan; Lepovié, Mirko) Graphs with three indepen- 
dent edges. (Serbo-Croatian summary) 92i:05177 

PuS, Vladimir Combinatorial properties of products of graphs. 92e:20048 

Pyber, L. see Jorgensen, L. K., 92b:05049 

Quintas, Louis V. see Gutman, Ivan; et al., 92g:92025 

Randi¢, Milan A route to acyclic (matching) polynomial. 92j:05177 

Raspaud, André see Amar, Denise, 92c:05066 

Reed, Bruce see McDiarmid, Colin, 92m:05173 

Rees, Rolf (with Wallis, W. D.) The spectrum of maximal sets of one-factors. 92j:05104 

Rival, Ivan see Liu, Wei-Ping, 92b:06009 and Czyzowicz, Jurek; et al., 92j:52024 

Rodger, C. A. see Hilton, Anthony J. W., 92c:05027 

Rosenfeld, Moshe The number of cycles in 2-factors of cubic graphs. 92d:05088 

Schrijver, Alexander Decomposition of graphs on surfaces and a homotopic circulation 
theorem. 924:05058 





05C70 


Schwenk, Allen J. see Liu, Jiu Qiang, 92j:05053 

Sebé, Andras The cographic multiflow problem: an epilogue. 92i:90046 

Shor, Peter W. (with Yukich, J. E.) Minimax grid matching and empirical measures. 
92k:60009 

Stanton, Ralph Gordon An algorithm for nonisomorphic coverings. 92m:05187 

— The geometric points of coverings. 92g:05063 

Straight, H. Joseph see Jayaram, S. R.; et al., 92b:05047 

Street, Anne Penfold see Lindner, C. C., 92m:05030 

Taylor, Herbert see Golomb, Solomon W; et al., 92c:05032 

Thomas, Robin see Kriz, Igor, 92c:05047 

Tian, Feng see Zhu, Yong Jin; et al., 92k:05089 

Tuza, Zsolt Extensions of Gallai’s graph covering theorems for uniform hypergraphs. 
924:05118 

Tyshkevich, R. I. (with Urbanovich, O. P.; Zverovich, I. E.) Matroidal decomposition of a 
graph. 92b:05022 

Urbanovich, O. P. see Tyshkevich, R. 1.; et al., 92b:05022 

Urrutia, Jorge see Czyzowicz, Jurek; et al., 92j:52024 

Wagner, David G. The partition polynomial of a finite set system. 92b:05005 

Wallis, W. D. (with Wang, Zhi Jian') Hamilton cycles in Cartesian products. 924:05100 

— see also Rees, Rolf, 92j:05104 

Wang, Zhi Jian’ see Alspach, Brian, 92d:05079 and Wallis, W. D., 924:05100 

Williams, Kenneth L. see Mo, Zhuguo, 92g:05168 

Yang, Zhen Qi 1-factors F of bipartite graphs and Hamiltonian cycles through F . (Chinese. 
English summary) 92c:05104 

Yukich, J. E. see Shor, Peter W., 92k:60009 

Zhang, Fu Ji (with Zhou, Ming Kun) The characteristics and matching polynomials of an 
homologous series of benzenoid systems. 92d:92038 

— (with Chen, Rong Si) When each hexagon of a hexagonal system covers it. 92b:92060 

— (with Lin, Guo Ning; Zhang, Yun Hu) Convex hexagonal systems. II. (Chinese summary) 
92g:92031 

Zhang, Yun Hu see Zhang, Fu Ji; et al., 92g:92031 

Zhang, Zhong Fu (with Fan, Jian Yun) Arboricity critical graphs. (Chinese. English 
summary) 92a:05109 

Zhou, Ming Kun see Zhang, Fu Ji, 924:92038 

Zhu, Yong Jin (with Tian, Feng; Deng, Xiao Tie) Further consideration on the Bondy- 
Chvatal’s closure theorems. 92k:05089 

Zverovich, I. E. see Tyshkevich, R. 1.; et al., 92b:05022 


05C75 Structural characterization of types of graphs 


Ali, Hesham H. (with Boals, Alfred J.; Sherwani, Naveed A.) Generalized load balancing 
graphs. 92i:05167 

Alspach, Brian (with Chen, Chuan Chong; Heinrich, Katherine) Characterization of a class 
of triangle-free graphs with a certain adjacency property. 92j:05144 

Andreae, Thomas A search problem on graphs which generalizes some group testing 
problems with two defectives. 92b:05065 

Arumugam, S. see Veerapandiyan, N., 92i1:05184 and 92j:05159 

Bacsé, G. (with Tuza, Zsolt) Dominating cliques in Ps-free graphs. 92g:05150 

Bandelt, Hans-Jiirgen (with Prisner, Erich) Clique graphs and Helly graphs. 92g:05151 

Batagelj, Viadimir An improved inductive definition of two restricted classes of triangula- 
tions of the plane. 92c:05123 

Berman, Abraham (with Kotzig, Anton; Sabidussi, Gert) Antipodal graphs of diameter 4 
and extremal girth. 92f:05081 

Boals, Alfred J. see Ali, Hesham H.; et al., 92i:05167 

Borie, Richard B. (with Parker, R. Gary; Tovey, Craig A.) Deterministic decomposition of 
recursive graph classes. 92g:05152 

Bowser, Stephen (with Cable, Charles A.) Cliques and niche graphs. 92k:05101 

— (with Cable, Charles A.) Some recent results on niche graphs. 92e:05091 

Brigham, Robert C. (with Dutton, Ronald D.; Harary, Frank; Haynes, Teresa W.) Charac- 
terization of the caterpillars obtained from a unique animal. 92i:05168 

Brouwer, A. E. Uniqueness and nonexistence of some graphs related to M2. 92e:05092 

Burosch, Gustav (with Laborde, Jean-Marie) Characterization of grid graphs. 92a:05104 

Cable, Charles A. see Bowser, Stephen, 92e:05091 and 92k:05101 

Caccetta, L. (with Vijayan, Kaipillil) Minimal graphs with prescribed vertex independence 
and clique numbers. 92f:05082 

Ceccherini, Pier Vittorio A characterization of Arguesian graphs. 92j:05145 

Chao, Chong-Yun (with Dong, Chun Fei) On a class of identity graphs. 92g:05153 

Chartrand, Gary (with Erdés, Paul; Kubicki, Grzegorz) Absorbing common subgraphs. 
92i:05169 

— (with Kapoor, S. F.; McKee, Terry A.; Saba, Farrokh) Edge-clique graphs. 92i:05170 

Chen, Chuan Chong see Alspach, Brian; et al., 92j:05144 

Chen, Dong Ling The binding number of multiple product graphs and its limit properties. 
(Chinese. English summary) 92j:05146 

Chen, Xie Bin Constructing graphs with domination numbers equal to their 2-packing 
numbers. (Chinese. English summary) 92i:05171 

— A note on minimal broadcast networks. (Chinese. English summary) 92h:05108 

Chepoi, V. D. see Kataranchuk, S. G., (91g:00038) 

Chinn, Phyllis Z. (with Richter, R. Bruce; Truszczyniski, Miroslaw) Sunlike primal graphs. 
925:05147 

Chung, Fan R. K. (with Graham, Ronald L.) On graphs not containing prescribed induced 
subgraphs. 92j:05148 

Chvatal, Va3ek Which line-graphs are perfectly orderable? 92a:05105 

Constantine, Gregory M. (with Whitehead, Earl Glen, Jr.) Extremal characterizations of 
design graphs. 92m:05155 

Cowan, David F. (with Reilly, Norman R.) Characterizations of Schutzenberger graphs. 
(see 92m:00061) 

Damaschke, Peter Forbidden ordered subgraphs. 92d:05132 

Das, Pramod K. Almost self-complementary graphs. I. 92¢:05124 

Diestel, Reinhard A compactness theorem for complete separators. 92a:05106 


COMBINATORICS 1992 138 


Donets, G. A. (with Nezhentsev, Yu. I.) Arithmetic graphs and their representation. 
(Russian. English summary) 92c:05125 

Dong, Chun Fei see Chao, Chong-Yun, 92g:05153 

Dunbar, Jean (with Laskar, R. C.; Monroe, Ted) Global irredundant sets in graphs. 
92j:05149 

Dutton, Ronald D. see Brigham, Robert C.; et al., 92i:05168 

Egawa, Yoshimi (with Kano, Mikio; Tan, Evelyn L.) On cycle graphs. 92j:05150 

— (with Ramos, Rolando E.) Triangle graphs. 92c:05126 

Era, Hiroshi (with Tsuchiya, Morimasa) On intersection numbers of graphs. 92j:05151 

Erdés, Paul see Chartrand, Gary; et al., 92i:05169 

Fan, Jian Yun see Zhang, Zhong Fu; et al., 92a:05109 

Fang, Zu Yao Rotation numbers for a class of rooted graphs. 92d:05133 

Farrell, E. J. An introduction to F-graphs, a graph-theoretic representation of natural 
numbers. 92m:05156 

Fronéek, Dalibor Edge-realizable graphs with universal vertices. 92j:05152 

Galeana-Sanchez, H. (with Neumann Lara, Victor) Orientations of graphs in kernel theory. 
924:05134 

Georges, John P. (with Halsey, Mark D.; Sanaulla, Adil M.; Whittlesey, Marshall A.) Edge 
domination and graph structure. 92i:05172 

Gorbunov, K. Yu. Context-free deducibility of graphs that do not realize a planar lattice. 
(Russian) 924:05135 

Graham, Ronald L. see Chung, Fan R. K., 92j:05148 

Gu, Weizhen see Reid, K. Brooks, 92i:05180 

Gimnther, Georg (with Hartnell, Bert L.) Graphs with isomorphic survivor graphs. 
92k:05102 

Gutman, Ivan see Petrovi¢, Miroslav M.; et al., 92i:05177 

Hahn, Geta (with Milner, Eric C.; Woodrow, Robert E.) Infinite friendship graphs with 
infinite parameters. 92f:05083 

Halsey, Mark D. see Georges, John P.; et al., 92i:05172 

Harary, Frank see Brigham, Robert C.; et al., 92i:05168 

Hartnell, Bert L. see Giinther, Georg, 92k:05102 

Haynes, Teresa W. see Brigham, Robert C.; et al., 92i:05168 

Heath, Jo (with Hilton, Anthony J. W.) At most k-to-1 continuous mappings between 
graphs. 92i:05173 

Hefner, Kim A. S. (with Jones, Kathryn F.; Kim, Suh-Ryung; Lundgren, J. Richard; Roberts, 
Fred S.) (i, j) competition graphs. 92g:05154 

Heinrich, Katherine The graphs determined by an adjacency property. 92a:05107 

— see also Alspach, Brian; et al., 92j:05144 

Hic, Pavol A characterization of K,,-closed graphs. (Russian summary) 92j:05153 

Hilton, Anthony J. W. see Heath, Jo, 92i:05173 

Hoffman, D. G. (with Johnson, P. D., Jr.) An extremal family of strongly regular graphs. 
92h:05109 

Hsu, D. Frank (with Shapiro, Jacob) A census of tight one-optimal double loop networks. 
92g:05155 

Jackson, Bill A characterisation of graphs having three pairwise compatible Euler tours. 
92m:05157 

Jacobson, Michael S. (with McMorris, F. R.; Scheinerman, Edward R.) General results on 
tolerance intersection graphs. 92i:05174 

Jamison, Beverly (with Olariu, Stephan) On a unique tree representation for P,-extendible 
graphs. 92k:05103 

Johnson, P. D., Jr. see Hoffman, D. G., 92h:05109 

Jones, Kathryn F. see Hefner, Kim A. S.; et al., 92g:05154 

Kano, Mikio see Egawa, Yoshimi; et al., 92j:05150 

Kapoor, S. F. see Chartrand, Gary; et al., 92i:05170 

Kataranchuk, S.G. (with Chepoi, V. D.) Classes of d-convexly simple graphs. (Russian) 
(see 91g:00038) 

Kim, Suh-Ryung Centers of a tensor composite graph. 92k:05104 

— see also Hefner, Kim A. S.; et al., 92g:05154 

Klavzar, Sandi Interval graphs. (Slovenian. English summary) 92b:05066 

Koh, K. M. (with Poh, K.S.) Vertex-gluings of sensitive graphs. 92c:05127 

Koolen, J. H. A new condition for distance-regular graphs. 92k:05105 

Kotzig, Anton see Berman, Abraham; et al., 92f:05081 

Kratochvil, Jan String graphs. I. The number of critical nonstring graphs is infinite. 
92g:05156 

— String graphs. II. Recognizing string graphs is NP-hard. 92g:05157 

Kubicki, Grzegorz Unicyclic graphs and greatest common subgraphs. 92j:05154 

— see also Chartrand, Gary; et al., 92i:05169 

Laborde, Jean-Marie see Burosch, Gustav, 92a:05104 

Lambeck, Ernst Willem A remark on the intersection arrays of distance regular graphs and 
the distance regular graphs of diameter d = 3i — 1 with bj = 1 and k > 2. 92i:05175 

Laskar, R.C. see McKay, Mark, 92i:05176 and Dunbar, Jean; et al., 92j:05149 

Lepovi¢, Mirko see Petrovi¢é, Miroslav M.; et al., 92i:05177 

Lim, Chong Keang (with Peng, Yee Hock) Uniquely pseudointersectable graphs. 
92m:05158 

Lipman, Marc J. The honest cubic graphs. 92j:05155 

Livingston, Marilynn (with Stout, Quentin F.) Perfect dominating sets. 92h:05110 

Lundgren, J. Richard (with Rasmussen, Craig W.) Interval graphs with noninterval 
competition graphs. 92k:05106 

— see also Hefner, Kim A. S.; et al., 92g:05154 

Mahadev, N. V.R. (with Peled, Uri N.) Ona conjecture of Wang and Williams. 92j:05156 

Mahmoodian, E.S. The intersection graph of B[3, 2; 6] design is the Petersen graph. 

McAvaney, K. L. An edge automorphism characterisation of n-cubes. 92m:05159 

McKay, Mark (with Laskar, R.C.) A study of G2 graphs. 92i:05176 

McKee, Terry A. Intersection graphs and cographs. 92h:05111 

— Clique multigraphs. 92h:05112 

— Intersection properties of graphs. 92m:05160 

— Foundations of intersection graph theory. 92k:05107 

— see also Chartrand, Gary; et al., 92i:05170 

McMorris, F. R. see Jacobson, Michael S.; et al., 92i:05174 

Milner, Eric C. see Hahn, Geiia; et al., 92f:05083 





139 1992 


Mollard, Michel Cycle-regular graphs. 92m:05161 

Monroe, Ted see Dunbar, Jean; et al., 92j:05149 

Neumann Lara, Victor see Galeana-Sanchez, H., 92d:05134 

Nezhentsev, Yu. I. see Donets, G. A., 92c:05125 

Olariu, Stephan see Jamison, Beverly, 92k:05103 

Oral, Haluk Face-vertex incidence matrix of a cubic planar graph. 92h:05113 

Parker, R. Gary see Borie, Richard B.; et al., 92g:05152 

Peled, Uri N. see Mahadev, N. V. R., 92j:05156 

Peng, Yee Hock see Lim, Chong Keang, 92m:05158 

Petrovi¢, Miroslav M. (with Gutman, Ivan; Lepovié, Mirko) Graphs with three indepen- 
dent edges. (Serbo-Croatian summary) 92i:05177 

Poh, K.S. see Koh, K. M., 92c:05127 

Prisner, Erich see Bandeit, Hans-Jiirgen, 92g:05151 

Prémel, Hans Jirgen Almost bipartite-making graphs. 92i:05178 

— (with Steger, Angelika) Excluding induced subgraphs: quadrilaterals. 92j:05157 

Ramachandran, P.N. see Veerapandiyan, N.; et al., 92j:05159 

Ramos, Rolando E. see Egawa, Yoshimi, 92c:05126 

Rasmussen, Craig W. see Lundgren, J. Richard, 92k:05106 

Raychaudhuri, Arundhati Edge clique graphs of some important classes of graphs. 
92i:05179 

Reid, K. Brooks (with Gu, Weizhen) Peripheral and eccentric vertices in products of 
graphs. 92i:05180 

Reilly, Norman R. see Cowan, David F., (92m:00061) 

Richter, R. Bruce see Chinn, Phyllis Z.; et al., 92j:05147 

Roberts, Fred S. see Hefner, Kim A. S.; et al., 92g:05154 

Robertson, Neil (with Seymour, P. D.) Graph minors. X. Obstructions to tree- 
decomposition. 92g:05158 

— (with Seymour, P. D.; Thomas, Robin) Excluding subdivisions of infinite cliques. 
92j:05158 

Saba, Farrokh see Chartrand, Gary; et al., 92i:05170 

Sabidussi, Gert see Berman, Abraham; et al., 92f:05081 

Salowe, Jeffrey S. Constructing multidimensional spanner graphs. 92h:05114 

Sanaulla, Adil M. see Georges, John P.; et al., 92i:05172 

Scheinerman, Edward R. (with Trenk, Ann N.) On generalized perfect graphs: a-perfection 
and acyclic x-perfection. 92i:05181 

— see also Jacobson, Michael S.; et al., 921:05174 

Scorzoni, Roberto An algebraic characterization of trees and cycles. 92h:05115 

Seymour, P. D. see Robertson, Neil, 92g:05158 and 92j:05158 

Shapiro, Jacob (with Waxman, Jerry) Rank constrained level graphs. 92k:05108 

— see also Hsu, D. Frank, 92g:05155 

Sherwani, Naveed A. see Ali, Hesham H.; et al., 92i:05167 

Shi, Yong Bing Some theorems on simple MCD graphs. (Chinese. English summary) 
92i:05182 

Shreve, W. E. A quadratic form characterization of complete n-partite graphs. 92c:05128 

Shrimpton, John Some groups related to the symmetry of a directed graph. 92k:05109 

Sidorenko, A. F. Triangle-free regular graphs. 92i:05183 

Silla, A. see Zverovich, I. E., 92e:05095 

Steger, Angelika see Prémel, Hans Jiirgen, 92j:05157 

Stout, Quentin F. see Livingston, Marilynn, 92h:05110 

Tan, Evelyn L. see Egawa, Yoshimi; et al., 92j:05150 

Thomas, Robin see Robertson, Neil; et al., 92j:05158 

Tian, Song Lin On graphs with prescribed center and periphery. 92h:05116 

Topp, Jerzy (with Volkmann, Lutz) Well covered and well dominated block graphs and 
unicyclic graphs. 92g:05159 

— Geodetic line, middle and total graphs. (Russian summary) 92a:05108 

Tovey, Craig A. see Borie, Richard B.; et al., 92g:05152 

Trenk, Ann N. see Scheinerman, Edward R., 92i:05181 

Truszczyiiski, Mirostaw see Chinn, Phyllis Z.; et al., 92j:05147 

Tsuchiya, Morimasa see Era, Hiroshi, 92j:05151 

Tuza, Zsolt see Bacsé, G., 92g:05150 

Vasenéva, E.L. On the nonexistence of certain P,-graphs. (Russian) (see 92c:00016) 

Veerapandiyan, N. (with Arumugam, S.) On balanced graphs. 92i:05184 

— (with Ramachandran, P. N.; Arumugam, S.) On k-balanced graphs. 92j:05159 

Vestergaard, Preben Dahl Graphs with two isomorphism classes of spanning unicyclic 
subgraphs. 92h:05117 

Vijayan, Kaipillil see Caccetta, L., 92f:05082 

Volkmann, Lutz see Topp, Jerzy, 92g:05159 

Wang, Chi (with Williams, A.C.) The threshold weight of a graph. 92c:05129 

— see also Mahadev, N. V. R., 92j:05156 

Wargo, Lawrence A. A characterization of almost-outerplanar graphs. 92j:05160 

Waxman, Jerry see Shapiro, Jacob, 92k:05108 

Whitehead, Earl Glen, Jr. see Constantine, Gregory M., 92m:05155 

Whittlesey, Marshall A. see Georges, John P.; et al., 92i:05172 

Williams, A.C. see Wang, Chi, 92c:05129 and Mahadev, N. V. R., 92j:05156 

Woodrow, Robert E. see Hahn, Geiia; et al., 92f:05083 

Xu, Shao Ji Relations between parameters of a graph. 92j:05161 

Yang, Yao Chi On a conjecture on determination of I’-graphs. (Chinese) 92i:05185 

Zaremba, Leszek S. Perfect graphs and norms. 92m:05162 

Zelinka, Bohdan Edge-domatically full graphs. 92¢:05093 

— A remark on self-centroidal graphs. 92c:05130 

Zhang, Li Min 4-regular graphs without 3-regular subgraphs. 92e:05094 

Zhang, Zhong Fu (with Fan, Jian Yun) Arboricity critical graphs. (Chinese. English 
summary) 92a:05109 

Zhou, Shang Chao Totally supercompact graphs. (Chinese. English summary) 92a:05110 

Zverovich, I. E. (with Zverovich, V.E.) A characterization of domination perfect graphs. 
924:05136 

— (with Silla, A.) P-unigraphness in certain classes of graphs. (Russian) 92e:05095 

— see also Zverovich, V. E., 92c:05131 


Zverovich, V. E. (with Zverovich, I. E.) Characterization of perfect dominant-clique graphs. 


(Russian. English summary) 92c:05131 


05C Graph theory 


— see also Zverovich, I. E., 924:05136 


Items with secondary classifications in 05C75 


Ainouche, Ahmed Four sufficient conditions for Hamiltonian graphs. 92d:05092 

Akiyama, Jin (with Chvatal, VaSek) Packing paths perfectly. 92a:68114 

Archdeacon, Dan S. (with Richter, R. Bruce) The construction and classification of self- 
dual spherical polyhedra. 92j:05058 

Arnborg, Stefan (with Proskurowski, Andrzej; Seese, Detlef) Monadic second order logic, 
tree automata and forbidden minors. (see 924:68007) 

Ash, C. J. Inevitable graphs: a proof of the type II conjecture and some related decision 
procedures. 92k:20114 

Asratyan, A.S. (with Mirumyan, A. N.) Transformations of edge colorings of a bipartite 
multigraph and their applications. (Russian) 

Bandelt, Hans-Jiirgen (with Mulder, Henry Martyn) Pseudo-median graphs: decomposi- 
tion via amalgamation and Cartesian multiplication. 92i:05087 

Bell, F. K. A note on the irregularity of graphs. 92m:05096 

Bienstock, Daniel (with Robertson, Neil; Seymour, P. D.; Thomas, Robin) Quickly 
excluding a forest. 92f:05034 

Brochet, J.-M. (with Pouzet, Maurice) Two extremal problems in infinite ordered sets and 
graphs: infinite versions of Menger and Gallai-Milgram theorems for ordered sets and 
graphs. 92k:06004 

Capobianco, Michael F. What is a graph? Three possible answers. 92¢:05117 

Ceccherini, Pier Vittorio Studying structures by counting geodesics. 92a:05050 

Chen, Ci Ping f-star factors with given properties. (Chinese) 92d:05121 

Chepoi, V. D. Classification of graphs by means of metric triangles. (Russian) 92e:05041 

Chvatal, Vaiek see Akiyama, Jin, 92a:68114 

Cordovil, Raul (with Duchet, Pierre) On sign-invariance graphs of uniform oriented 
matroids. 92a:05034 

Csiszar, I. (with Kérner, Janos; Lovasz, Laszl6; Marton, K.; Simonyi, Gabor) Entropy 
splitting for antiblocking corners and perfect graphs. 92a:05093 

Ding, Guoli Covering the edges with consecutive sets. 92j:05099 

Dolbilin, N. P. (with Shtan’ko, M. A.; Shtogrin, M. 1.) Combinatorial problems in the two- 
dimensional Ising model. (Russian) 92i:05083 

Duchet, Pierre see Cordovil, Raul, 922:05034 

Fassbender, Bert On a generalization of a theorem of Nash-Williams. 92c:05102 

Fleischner, Herbert (with Wenger, E.) Characterizing directed postman tours. 92a:05061 

Franchetta, Anna Hyperbolic graphs and their roots. (Italian. English summary) 92m:17037 

Firedi, Zoltan Competition graphs and clique dimensions. 92k:05069 

— On a Turan type problem of Erdés. 92¢:05055 

Gerards, A.M. H. * Graphs and polyhedra. Binary spaces and cutting planes. 92f:52027 

Gyéry, K. On arithmetic graphs associated with integral domains. 92h:11023 

Hamidoune, Yahya Ould (with Tindell, Ralph) Vertex transitivity and super line connected- 
ness. 92¢:05095 

Hartvigsen, David (with Mardon, Russell) The prism-free planar graphs and their cycles 
bases. 92h:05043 

Korner, Janos see Csiszér, 1.; et al., 922:05093 

Kreweras, Germain Sur les polynémes de Catalan simples et doubles. (English summary) 
[On simple and double Catalan polynomials] 92i:05012 

Lai, Hong-Jian Eulerian subgraphs in a class of graphs. 924:05095 

Lambeck, Ernst Willem * Contributions to the theory of distance regular graphs. 
92a:05051 

Little, C. H.C. (with Vince, Andrew) Embedding schemes and the Jordan curve theorem. 
92a:05043 

Lovasz, Laszlé see Csiszar, 1.; et al., 92a:05093 

Marcu, Danut Note sur la conjecture d’Abelson et Rosenberg. (English summary) [Note on 
the Abelson-Rosenberg conjecture] 92a:05069 

Mardon, Russell see Hartvigsen, David, 92h:05043 

Marton, K. see Csiszér, 1.; et al., 92a:05093 

Mirumyan, A. N. see Asratyan, A. S., 92e:05044 

Mulder, Henry Martyn see Bandelt, Hans-Jirgen, 92i:05087 

Parsons, T. D. (with Pisanski, Tomaz) Graphs which are locally paths. 92e:05066 

Pisanski, Tomaz see Parsons, T. D., 92¢:05066 

Ponomarev, V. A.! Lattices L(A’). 92k:06014 

Pouzet, Maurice see Brochet, J.-M., 92k:06004 

Proskurowski, Andrzej see Arnborg, Stefan; et al., (92d:68007) 

Richter, R. Bruce see Archdeacon, Dan S., 92j:05058 

Robertson, Neil see Bienstock, Daniel; et al., 92f:05034 

Seah, Eric On the construction of cordial graphs. 92d:05141 

Seese, Detlef see Arnborg, Stefan; et al., (92d:68007) 

Sendov, Blagovest Kh. Planar neighbourhood graphs without cycles. 92k:05046 

Seymour, P. D. see Bienstock, Daniel; et al., 92f:05034 

Shee, Sze Chin A characterization of point-colour-symmetric hypergraphs. 92a:05099 

Shtan’‘ko, M. A. see Dolbilin, N. P.; et al., 92i:05083 

Shtogrin, M.1. see Dolbilin, N. P.; et al., 92i:05083 

Simonyi, Gabor see Csiszér, 1.; et al., 92a:05093 

Siraii, Jozef Characterization of signed graphs which are cellularly embeddable in no more 
than one surface. 92i:05086 

Tan, Evelyn L. On Fibonacci numbers and cycle graphs. 

Thomas, Robin see Bienstock, Daniel; et al., 92f:05034 

Tindell, Ralph see Hamidoune, Yahya Ould, 92c:05095 

Vince, Andrew see Little, C. H. C., 92a:05043 

Vitolo, Paolo Characterizations of simply disconnected complete digraphs. 924:05069 

Voss, Heinz-Jiirgen Maximale gerade und ungerade Kreise in Graphen. III. [Maximal even 
and odd cycles in graphs] 92h:05078 

Wenger, E. see Fleischner, Herbert, 922:05061 

Werner, Frank Some relations between neighbourhood graphs for a permutation problem. 
92b:90178 

Wojda, A. Pawel (with Wozniak, Mariusz) Stability, total vertices and Hamiltonian cycles. 
92i:05145 

Woéniak, Mariusz see Wojda, A. Pawel, 92i1:05145 





05C75 


Xu, Cheng De On 2-diameter-stable graphs. (Chinese summary) 92m:05077 

Xu, Jun Ming All connected circulants are Hamiltonian. 92e:05075 

Zhang, Jian Xun Reconstruction of separable graphs. (Chinese. English summary) 
92a:05097 


05C78 Graph labelling (graceful graphs, bandwidth, etc.) 


Abrham, Jaromir (with Kotzig, Anton) Estimates of the number of graceful valuations of 
cycles. 92j:05162 

— (with Kotzig, Anton) Existence theorems for nonseparable a-valuations of snakes. 
92k:05110 

Acharya, B. D. (with Hegde, S. M.) On certain vertex valuations of a graph. I. 92k:05111 

Aigner, Martin (with Triesch, Eberhard) Irregular assignments and two problems a la 
Ringel. 92f:05084 

Bata, Martin On magic labellings of m-prisms. (Russian summary) 92a:05111 

— On consecutive labeling of plane graphs. 92d:05137 

— On magic labelings of type (1, 1, 1) for the special class of plane graphs. 92m:05163 

Bergstrand, Deborah (with Hodges, Kenneth; Jennings, George; Kuklinski, Lisa; Wiener, 
Janet; Harary, Frank) The sum number of a complete graph. 92a:05112 

Cahit, Ibrahim Recent results and open problems on cordial graphs. 92h:05118 

— Status of graceful tree conjecture in 1989. 92a:05113 

Grinwald, Norbert Optimal edge-numbering of binary trees. 92c:05132 

— Optimale Kantennumerierung des K,, »,. [Optimal numbering of edges of the Kn,m] 
92i:05186 

Harary, Frank see Bergstrand, Deborah; et al., 92a:05112 

Hartsfield, Nora Egyptian graphs. 92¢:05096 

Hegde, S. M. On set valuations of graphs. 92m:05164 

— see also Acharya, B. D., 92k:05111 

Ho, Yong Song (with Lee, Sin-Min; Seah, Eric) On the edge-graceful (n, kn)-multigraphs 
conjecture. 92d:05138 

Hodges, Kenneth see Bergstrand, Deborah; et al., 92a:05112 

Hu, Te Chiang (with Kahng, A. B.) Every tree is graceful (but some are more graceful than 
others). 92e:05097 

Jennings, George see Bergstrand, Deborah; et al., 92a:05112 

Kahng, A. B. see Hu, Te Chiang, 92¢:05097 

Kang, Qing De On graph labelling problems. (Chinese. English summary) 92d:05139 

Kirchherr, Walter W. On the cordiality of some specific graphs. 92c:05133 

Kotzig, Anton see Abrham, Jaromir, 92j:05162 and 92k:05110 

Kuklinski, Lisa see Bergstrand, Deborah; et al., 92a:05112 

Lakshmi, D. R. (with Vangipuram, S.) An a-valuation of quadratic graph Q(4, 4K). 
92e:05098 

Lang, Rainer Numberings on graphs having small edge weights. 92a:05114 

Lee, Sin-Min (with Seah, Eric) On edge-gracefulness of the composition of step graphs with 
null graphs. 92i:05187 

— (with Tan, Sie-Keng) A class of arbitrarily graceful planar bipartite graphs. 92c:05134 

— (with Seah, Eric; Sun, Hugo S. H.) On neutrality of regular graphs. 

— see also Ho, Yong Song; et al., 924:05138 

Liang, Huai Xue (with Liu, Chun Feng) On K-gracefulness of graphs. (Chinese. English 
summary) 92k:05112 

Lin, Yi Xun (with Yuan, Jin Jiang) A short proof on the bandwidth of a graph and its 
complement. (Chinese summary) 

Liu, Bo Lian (with Zhang, Xian Kun) Ona conjecture of harmonious graph. 92¢:05099 

— Some new results on graceful graphs. (Chinese) 92a:05115 

Liu, Chun Feng see Liang, Huai Xue; et al., 92k:05112 

Liu, Jiu Qiang (with Williams, Kenneth L.; Wang, Jian Fang) Bandwidth for the sum of 
two graphs. 92k:05113 

Ma, Ke Jie Gracefulness of (G;m). (Chinese. English summary) 92e:05100 

McDiarmid, Colin (with Miller, Zevi) Lattice bandwidth of random graphs. 924:05140 

Miller, Zevi see McDiarmid, Colin, 924:05140 

Payan, Charles see Sun, Shi Xin 

Seah, Eric On the construction of cordial graphs. 92d:05141 

— see also Ho, Yong Song; et al., 92d:05138and Lee, Sin-Min, 92i:05187 

Shee, Sze Chin Some results on A-valuation of graphs involving complete bipartite graphs. 
92a:05116 

Smyth, W. F. Sum graphs: new results, new problems. 924:05142 

— Addendum to: “Sum graphs: new results, new problems” [Bull. Inst. Combin. Appl. 2 
(1991), 79-81; MR 92d:05142]. 

Sun, Hugo S. H. see Lee, Sin-Min; et al. 

Sun, Shi Xin (with Payan, Charles) Sur l’immersion gracieuse de Ky dans Q,. (English 
summary) [On the gracious embedding of Ky in Q,] 

Tan, Sie-Keng see Lee, Sin-Min, 92c:05134 

Triesch, Eberhard see Aigner, Martin, 92f:05084 

Vangipuram, S. see Lakshmi, D. R., 92e:05098 

Wang, Guang Xuan see Yang, Yan Chang; et al. 

Wang, Jian Fang see Liu, Jiu Qiang; et al., 92k:05113 

Wiener, Janet see Bergstrand, Deborah; et al., 92a:05112 

Williams, Kenneth L. see Liu, Jiu Qiang; et al., 92k:05113 

Yang, Yan Chang (with Wang, Guang Xuan) Gracefulness of the product graph C, x P. 
(Chinese) 

Yuan, Jin Jiang see Lin, Yi Xun; et al. 

Zhang, Xian Kun see Liu, Bo Lian; et al., 92e:05099 

Zhao, Shi Lin All trees of diameter four are graceful. 92e:05101 


Items with secondary classifications in 05C78 


Damaschke, Peter Forbidden ordered subgraphs. 92d:05132 

Galeana-Sanchez, H. (with Pastrana Ramirez, L.; Rincén-Mejia, Hugo Alberto) Semiker- 
nels, quasi kernels, and Grundy functions in the line digraph. 92c:05068 

Haralambides, J. (with Makedon, Fillia; Monien, Burkhard) Bandwidth minimization: an 
approximation algorithm for caterpillars. 92i:05200 


COMBINATORICS 


1992 140 


Kang, Tai (with Sun, Shi Xin) The matrix equation method for graceful embeddings of Kw 
in Q,.(Chinese) 92g:05077 

Makedon, Fillia see Haralambides, J.; et al., 92i:05200 

Miller, Zevi Bandwidth in multigrids for random graphs. 92c:05141 

Monien, Burkhard see Haralambides, J.; et al., 92i:05200 

Pastrana Ramirez, L. see Galeana-Sanchez, H.; et al., 92c:05068 

Rincén-Mejia, Hugo Alberto see Galeana-Sanchez, H.; et al., 92c:05068 

Scheffler, Petra A linear algorithm for the pathwidth of trees. 92a:05122 

Stohr, Elena The pagewidth of trivalent planar graphs. 92c:05153 

Sun, Shi Xin see Kang, Tai; et al., 92g:05077 

Wilf, Herbert S. (with Yoshimura, Nancy A.) Ranking rooted trees, and a graceful 
application. 92d:05049 

Yoshimura, Nancy A. see Wilf, Herbert S., 92d:05049 


05C80 Random graphs 


Ajtai, Miklés (with Komlds, Janos; Szemerédi, Endre) Generating expanders from two 
permutations. 92g:05160 

Alon, Noga (with Firedi, Zoltan) Spanning subgraphs of random graphs. 

Balakin, G. V. (with Kolchin, V. F.; Khokhlov, V. I.) Hypercycles in a random hypergraph. 
(Russian) 

Baliriska, Krystyna T. (with Quintas, Louis V.) The sequential generation of random edge 
maximal f-graphs as a function of f. 92h:05119 

Barbour, A. D. (with Janson, Svante; Karonski, Michal; Rucifiski, Andrzej) Small cliques in 
random graphs. 92m:05165 

Bollobas, Béla (with Wierman, John C.) Subgraph counts and containment probabilities of 
balanced and unbalanced subgraphs in a large random graph. 92g:05161 

— (with Fenner, T. 1.; Frieze, Alan M.) Hamilton cycles in random graphs of minimal 
degree at least k. 92k:05114 

— Sharp concentration of measure phenomena in the theory of random graphs. 92d:05143 

— (with Kohayakawa, Y.) The hitting time of Hamilton cycles in random bipartite graphs. 
92m:05166 

— Random graphs revisited. 92m:05168 

— (with Frieze, Alan M.) Spanning maximal planar subgraphs of random graphs. 
92h:05120 

— (with Kohayakawa, Y.; Luczak, Tomasz) The evolution of random subgraphs of the cube. 
92m:05167 

Buckley, Fred (with Palka, Zbigniew) Property preserving spanning trees in random graphs. 
92d:05144 

Catlin, Paul A. (with Chen, Zhi-Hong) The arboricity of the random graph. 92k:05115 

Chen, Zhi-Hong see Catlin, Paul A., 92k:05115 

Cherkashin, S. P. On the structure of random oriented graphs with distinguished edges. 
(Russian) 92f:05085 

Chung, Fan R. K. Constructing random-like graphs. 92m:05169 

Cohen, Joei E. Mobius inversion of random acyclic directed graphs. 92a:05117 

Cooper, Colin (with Frieze, Alan M.) Pancyclic random graphs. 92c:05135 

— Pancyclic Hamilton cycles in random graphs. 92i:05188 

Durrett, Richard (with Kesten, Harry) The critical parameter for connectedness of some 
random graphs. 92g:05162 

Fenner, T. I. see Bollobas, Béla; et al., 92k:05114 

Fernandez de la Vega, Wenceslao (with Gordones, L. Marquez) The forwarding indices of 
random graphs. 92k:05116 

Frank, Ove Random graph mixtures. 92d:05145 

Frieze, Alan M. (with Luczak, Tomasz) Hamiltonian cycles in a class of random graphs: 
one step further. 92a:05118 

— (with Luczak, Tomasz) On the independence and chromatic numbers of random regular 
graphs. 92m:05170 

— see also Cooper, Colin, 92c:05135; Bollobas, Béla, 92h:05120 and 92k:05114 

Fiiredi, Zoltan see Alon, Noga 

Furuyama, Masao Two approaches for the estimate of the length of minimum spanning 
trees. 92d:05146 

Godehardt, Erhard Connectivity of random graphs of small order and statistical testing. 
92b:05067 

Gordones, L. Marquez see Fernandez de la Vega, Wenceslao, 92k:05116 

Gutjahr, Walter On the co-structure of k paths in a random binary tree. 92i:05189 

Janson, Svante (with Kratochvil, Jan) Proportional graphs. 92a:05119 

— see also Barbour, A. D.; et al., 92m:05165 

Juhdsz, Ferenc The asymptotic behaviour of Fiedler’s algebraic connectivity for random 
graphs. 

Karoriski, Michal see Barbour, A. D.; et al., 92m:05165 

Kesten, Harry see Durrett, Richard, 92g:05162 

Khokhlov, V. I. see Kolchin, V. F., 92c:05136 and Balakin, G. V.; et al. 

Kohayakawa, Y. see Bollobas, Béla, 92m:05166 and 92m:05167 

Kolchin, V. F. (with Khokhlov, V. I.) On the number of cycles in a random nonequiproba- 
ble graph. (Russian) 92c:05136 

— see also Balakin, G. V.; et al. 

Komlés, Janos see Ajtai, Miklés; et al., 92g:05160 

Kordecki, Wojciech Normal approximation and isolated vertices in random graphs. 
92e:05102 

— Vertices of given degree in a random graph. 92g:05163 

Kostochka, A. V. Matchings in random spanning subgraphs of cubelike graphs. 92c:05137 

Kratochvil, Jan (with Maly, Jan; Matousek, Jiti) On the existence of perfect codes in a 
random graph. 92e:05103 

— see also Janson, Svante, 92a:05119 

Kuéera, Ludék The greedy coloring is a bad probabilistic algorithm. 92k:05117 

— see also Matula, David, 92e:05106 

Luczak, Tomasz On the equivalence of two basic models of random graphs. 92c:05138 

— Component behavior near the critical point of the random graph process. 92c:05139 

— The chromatic number of random graphs. 92g:05164 

— A note on the sharp concentration of the chromatic number of random graphs. 92k:05118 





141 1992 


— Holes in random graphs. 92c:05140 

— Cycles in random graphs. 92i:05190 

— Size and connectivity of the k-core of a random graph. 92m:05171 

— (with Spencer, Joel H.) When does the zero-one law hold? 92¢:05104 

— How to deal with unlabeled random graphs. 92f:05086 

— Cycles in a random graph near the critical point. 92j:05163 

— see also Frieze, Alan M., 92a:05118; Bollobas, Béla; et al., 92m:05167 and Frieze, Alan M.., 
92m:05170 

Maehara, Hiroshi On the intersection graph of random arcs on a circle. 92e:05105 

Maly, Jan see Kratochvil, Jan; et al., 92¢:05103 

Mann, J. Adin, Jr. see Pittel, Boris; et al., 92d:05148 

MatouSek, Jiti see Kratochvil, Jan; et al., 92e:05103 

Matula, David (with Kuéera, Ludék) An expose-and-merge algorithm and the chromatic 
number of a random graph. 92e:05106 

McDiarmid, Colin On the chromatic number of random graphs. 92m:05172 

— (with Reed, Bruce) Linear arboricity of random regular graphs. 92m:05173 

— Expected numbers at hitting times. 92m:05174 

McMorris, F. R. (with Scheinerman, Edward R.) Connectivity threshold for random 
chordal graphs. 92d:05147 

Meir, Amram (with Moon, J. W.) On the maximum out-degree in random trees. 92i:05191 

Miller, Zevi Bandwidth in multigrids for random graphs. 92c:05141 

Mironov, A. A. The probabilistic properties of a random graph with a given set of degrees of 
the vertices. (Russian) 92h:05121 

Moon, J. W. see Meir, Amram, 92i:05191 

Mutafchiev, Lyuben R. Large components and cycles in a random mapping pattern. 
92a:05120 

Nowicki, Krzysztof Asymptotic distributions of graph statistics for colored graphs. 
92b:05068 

Palka, Zbigniew Orders of induced subgraphs in sparse random graphs. 92¢:05107 

— (with Rucitiski, Andrzej) Vertex-degrees in a random subgraph of a regular graph. 
92e:05108 

— see also Buckley, Fred, 92d:05144 

Pittel, Boris (with Woyczyfiski, Wojbor A.; Mann, J. Adin, Jr.) Random tree-type partitions 
as a model for acyclic polymerization: Gaussian behavior of the subcritical sol phase. 
92d:05148 

— On tree census and the giant component in sparse random graphs. 92f:05087 

Quintas, Louis V. see Balitiska, Krystyna T., 92h:05119 

Reed, Bruce see McDiarmid, Colin, 92m:05173 

Rokhlin, M. N. Binomial moments and exponential generating functions. (Russian) 
92f:05088 

Rucitiski, Andrzej Small subgraphs of random graphs—a survey. 92d:05149 

— On convex hulls of graphs. 92i:05192 

— see also Palka, Zbigniew, 92e:05108 and Barbour, A. D.; et al., 92m:05165 

Sapozhenko, A. A. (with Weber, Karl F. E.) On the diameter of random subgraphs of the n- 
cube. 92h:05122 

Scheinerman, Edward R. see McMorris, F. R., 92d:05147 

Simonovits, Miklés (with Sés, Vera T.) Szemerédi’s partition and quasirandomness. 
92¢:05142 

Sés, Vera T. see Simonovits, Miklés, 92c:05142 

Spencer, Joel H. Nonconvergence in the theory of random orders. 92m:05175 

— Countable sparse random graphs. 92m:05176 

— see also Luczak, Tomasz, 92e:05104 

Suen, W.-C. Stephen A correlation inequality and a Poisson limit theorem for nonoverlap- 
ping balanced subgraphs of a random graph. 92j:05164 

Szemerédi, Endre see Ajtai, Miklés; et al., 92g:05160 

Weber, Karl F. E. On components of random subgraphs of the n-cube. (see 92m:05005) 

— see also Sapozhenko, A. A., 92h:05122 

Wierman, John C. see Bollobas, Béla, 92g:05161 

Woyczytiski, Wojbor A. see Pittel, Boris; et al., 92d:05148 

Zhang, Yu' A power law for connectedness of some random graphs at the critical point. 
92b:05069 


Items with secondary classifications in 05C80 

Aldous, David J. Asymptotic fringe distributions for general families of random trees. 
92j:60009 

Alon, Noga Ramsey graphs cannot be defined by real polynomials. 92a:05090 

— Independent sets in regular graphs and sum-free subsets of finite groups. 92k:11024 

Beck, Jézsef Quasi-random 2-colorings of point sets. 92d:05062 

Berg, Sven (with Nowicki, Krzysztof) Statistical inference for a class of modified power 
series distributions with applications to random mapping theory. 92h:62038 

Bertsimas, Dimitris J. (with Jaillet, Patrick; Odoni, Amedeo R.) A priori optimization. 
92b:90146 

Bollobas, Béla (with Leader, Imre) Isoperimetric inequalities and fractional set systems. 
92j:05011 

Buffet, E. (with Pulé, J. V.) Polymers and random graphs. 92h:82138 

Chen, Zhong S. (with Kennedy, John W.; Quintas, Louis V.) The long and the short of 
cascade trees: height and a duality in cascade processes. 92g:60112 

Chung, Fan R. K. (with Graham, Ronald L.) On graphs not containing prescribed induced 
subgraphs. 92j:05148 

— Regularity lemmas for hypergraphs and quasi-randomness. 924:05117 

Chvatal, VaSek Almost all graphs with 1.44n edges are 3-colorable. 92c:05056 

Constant, J. see Wong, A. K. C.; et al., (92b:68055) 

Devroye, Luc On the height of random m-ary search trees. 92k:68018 

— Limit laws for local counters in random binary search trees. 92g:68038 

Donnelly, Peter (with Ewens, W. J.; Padmadisastra, S.) Functionals of random mappings: 
exact and asymptotic results. 92k:60017 

Engelbrecht, Jacob see Rasmussen, Steen; et al., 92e:92016 

Erdés, Paul (with Gimbel, John; Kratsch, Dieter) Some extremal results in cochromatic 
and dichromatic theory. 92i:05118 


05C Graph theory 


05C85 


— (with Kierstead, H. A.; Trotter, W. T.) The dimension of random ordered sets. 
92g:06006 


Ewens, W. J. see Donnelly, Peter; et al., 92k:60017 

Frank, Ove Statistical analysis of change in networks. 92j:62098 

Frieze, Alan M. (with Kuéera, Ludék) Parallel colouring of random graphs. 92b:05070 

Firedi, Zoltan Competition graphs and clique dimensions. 92k:05069 

Gimbel, John see Erdés, Paul; et al., 92i:05118 

Godehardt, Erhard * Graphs as structural models. 92j:62002 

Graham, Ronald L. see Chung, Fan R. K., 92j:05148 

Jaillet, Patrick see Bertsimas, Dimitris J.; et al., 92b:90146 

Jaworski, Jerzy Random mappings with independent choices of images. 92a:60030 

Kennedy, John W. see Chen, Zhong S.; et al., 92g:60112 

Kierstead, H. A. see Erdés, Paul; et al., 92g:06006 

Kratsch, Dieter see Erdés, Paul; et al., 92i:05118 

Kuéera, Ludék see Frieze, Alan M., 92b:05070 

Leader, Imre see Bollobas, Béla, 92j:05011 

Lynch, James F. Probabilities of sentences about very sparse random graphs. 92j:03029 

McDiarmid, Colin (with Miller, Zevi) Lattice bandwidth of random graphs. 924:05140 

Miller, Zevi see McDiarmid, Colin, 924:05140 

Mosekilde, E. see Rasmussen, Steen; et al., 92e:92016 

Nowicki, Krzysztof see Berg, Sven, 92h:62038 

Odoni, Amedeo R. see Bertsimas, Dimitris J.; et al., 92b:90146 

Padmadisastra, S. see Donnelly, Peter; et al., 92k:60017 

Pittel, Boris (with Woyczynski, Wojbor A.) Infinite-dimensional distributions in the 
thermodynamic limit of graph-valued Markov processes and the phenomenon of 
postgelation sticking. 92g:82135 

Pulé, J. V. see Buffet, E., 92h:82138 

Quintas, Louis V. see Chen, Zhong S.; et al., 92g:60112 

Rasmussen, Steen (with Mosekilde, E.; Engelbrecht, Jacob) Time of emergence and 
dynamics of cooperative gene networks. 92e:92016 

Satyanarayana, Appajosyula (with Schoppmann, L.; Suffel, C. L.) A reliability-improving 
graph transformation with applications to network reliability. 92j:90034 

Schoppmann, L. see Satyanarayana, Appajosyula; et al., 92j:90034 

Spencer, Joel H. The probabilistic lens: Sperner, Turan and Bregman revisited. 92i:05127 

— Threshold spectra via the Ehrenfeucht game. 92b:03040 

Stong, Richard A. Choosing a random spanning subtree: a case study. 92i:60019 

Suffel, C. L. see Satyanarayana, Appajosyula; et al., 92j:90034 

Talagrand, Michel Complete convergence of the directed TSP. 92j:90033 

Trotter, W.T. see Erdés, Paul; et al., 92g:06006 

Weber, Karl F. E. Random spread of information, random graph processes and random 
walks. 92b:60012 

Wong, A. K.C. (with Constant, J.; You, Man Lai) Random graphs. (see 92b:68055) 

Woyczytiski, Wojbor A. see Pittel, Boris, 92g:82135 

You, Man Lai see Wong, A. K. C.; et al., (92b:68055) 


05C85 Graph algorithms [see also 68Q20, 68R10] 


(Adamek, Jiti) see Kutéera, Ludék, 92h:05126 

Adhar, Gur S. (with Peng, Shietung) A parallel algorithm for maximum matching in 
cographs. 92h:05123 

Agarwal, Pankaj Kumar (with Shing, Man-Tak) Algorithms for special cases of rectilinear 
Steiner trees. I. Points on the boundary of a rectilinear rectangle. 92c:05143 

Alagar, V.S. see Opatrny, J.; et al., 92m:05185 

Ali, Agha Iqbal (with Huang, Chung Hsing) Balanced spanning forests and trees. 92i:05194 

Al-Khnaifes, Khaled (with Sachs, Horst) Graphs, linear equations, determinants, and the 
number of perfect matchings. 92i:05193 

Ananiashvili, N.G. An algorithm for determining the principal p-centers in a graph. 
(Russian. English and Georgian summaries) 92c:05144 

Arnborg, Stefan (with Lagergren, Jens; Seese, Detlef) Easy problems for tree-decomposable 
graphs. 92d:05150 

Babel, L. Finding maximum cliques in arbitrary and in special graphs. (German summary) 
92m:05177 

Barahona, Francisco Planar multicommodity flows, max cut, and the Chinese postman 
problem. 92g:05165 

Barroso, Magali M. A. see Szwarcfiter, Jayme L., 92h:05131 

Berman, Kenneth A. (with Paul, Jerome L.) Computing the broadcast multiplicities of a 
communication network. 92i:05195 

Bhattacharya, Bhargab B. see Srimani, Pradip K.; et al., 92g:05170 

Boekee, Dick E. see Jansen, Cees J. A.; et al., 92j:05167 

Boswell, Sharon G. Bounds on the number of I’-operation edge substitutions required to 
transform a maximal planar graph into another. 92h:05124 

Bouchet, André An efficient algorithm to recognize locally equivalent graphs. 92m:05178 

Brandstadt, Andreas On the domination problem for bipartite graphs. 92d:05151 

Brattseva, E. V. (with Cherenin, V. P.) * AnroputMbi arperuposanua. (Russian) [Aggrega- 
tion algorithms] 92c:05145 

Brecht, Timothy B. see Keil, J. Mark, 92c:05149 

Cameron, Kathie The maximum edge-weighted clique problem in complete multipartite 
graphs. 92¢:05146 

Chang, Ruei Chuan see Su, Tung Hsing, 92k:05122 

Cherenin, V. P. see Brattseva, E. V., 92c:05145 

Chu, Sydney C. K. Efficient bounds on a branch and bound algorithm for graph colouration. 
92i:05196 

Chung, Fan R. K. Separator theorems and their applications. 92d:05152 

Cockayne, E. J. (with MacGillivray, Gary; Mynhardt, C. M.) A linear algorithm for 
universal minimal dominating functions in trees. 92j:05165 

Cohen, Edith (with Megiddo, Nimrod) Recognizing properties of periodic graphs. 
92g:05166 

Cozzens, Margaret B. (with Halsey, Mark D.) The relationship between the threshold 
dimension of split graphs and various dimensional parameters. 92g:05167 

Deogun, Jitender S. (with Peng, Yiping) Edge ranking of trees. 92i:05197 





05C85 


Deryugin, V. N. Representation of the Steiner problem in L; as a problem on a graph. 
(Russian. English summary) 92i:05198 

Ding, Ke Quan An algorithm for minimal number-grouped partitions of random permuta- 
tions. (Chinese summary) 924:05153 

Eades, Peter Drawing free trees. 92m:05179 

Eppstein, David Parallel recognition of series-parallel graphs. 92m:05180 

Frank, Andras Augmenting graphs to meet edge-connectivity requirements. 92j:05166 

Franx, Wouter G. see Jansen, Cees J. A.; et al., 92j:05167 

Frieze, Alan M. (with Kutéera, Ludék) Parallel colouring of random graphs. 92b:05070 

Fujisawa, Toshio see Kashiwabara, Toshinobu; et al., 92m:05183 

Fuller, Roy J. On minimal paths through a shuffle-exchange network. 92h:05125 

Ghosh, Suranjan see Srimani, Pradip K.; et al., 92g:05170 

Goddard, Wayne D. see Zhu, Bing Huan, 92i:05209 

Goldberg, Leslie Ann Efficient algorithms for listing unlabeled graphs. 92m:05181 

Gordon, Daniel M. Parallel sorting on Cayley graphs. 92c:05147 

GowriSankaran, C. (with Opatrny, J.) New bandwidth reduction algorithms. 92i:05199 

Granot, Daniel (with Skorin-Kapov, Darko) NC algorithms for recognizing partial 2-trees 
and 3-trees. 92d:05154 

Grieser, Daniel Some results on the complexity of families of sets. 92k:05119 

Gupta, Ajay K. see Winston, Anand Kumar; et al., 92k:05123 

Halldérsson, Magniis M. (with Szegedy, Mari6) Lower bounds for on-line graph coloring. 
(see 92m:68005) 

Halsey, Mark D. see Cozzens, Margaret B., 92g:05167 

Haralambides, J. (with Makedon, Fillia; Monien, Burkhard) Bandwidth minimization: an 
approximation algorithm for caterpillars. 92i:05200 

Hare, Eleanor O. k-weight domination and fractional domination of P,, x P,. 92i:05201 

— (with Hare, William R.) k-packing of P,, x P,. 92i:05202 

Hare, William R. see Hare, Eleanor O., 92i:05202 

Haynes, Teresa W. see Schmidt, Paul J., 92h:05130 

He, Xin An efficient algorithm for edge coloring planar graphs with A colors. 92f:05089 

Hendrickson, Bruce Conditions for unique graph realizations. 92m:05182 

Hertz, A. COSINE: a new graph coloring algorithm. 92i:05203 

Hromkovit, Juraj (with Monien, Burkhard) The bisection problem for graphs of degree 4 
(configuring transputer systems) (extended abstract). (see 92g:68008) 

Huang, Chung Hsing see Ali, Agha Iqbal, 92i:05194 

Huang, Zhen Jie The minimum gossiping graph and its algorithm. (Chinese. English 
summary) 


Huckenbeck, Ulrich (with Ruland, Detlev) A generalized best-first search method in graphs. 


92e:05109 

Hwang, Frank K. see Rao, Sailesh K.; et al., 92i:05207 

Thier, Edmund Bounds on the quality of approximate solutions to the group Steiner 
problem. 92c:05148 

Irani, Sandy Coloring inductive graphs on-line. 92i:05204 

Ishiguro, Akira see Suzuki, Hitoshi; et al., 92b:05071 

Jansen, Cees J. A. (with Franx, Wouter G.; Boekee, Dick E.) An efficient algorithm for the 
generation of de Bruijn cycles. 92j:05167 

Jaromezyk, Jerzy W. (with Kowaluk, Miroslaw) Constructing the relative neighborhood 
graph in 3-dimensional Euclidean space. 92d:05155 

Kashiwabara, Toshinobu (with Masuda, Sumio; Nakajima, Kazuo; Fujisawa, Toshio) 
Generation of maximum independent sets of a bipartite graph and maximum cliques of 
a circular-arc graph. 92m:05183 

Keil, J. Mark (with Brecht, Timothy B.) The complexity of clustering in planar graphs. 
92c:05149 

Khuller, Samir (with Schieber, Baruch) Efficient parallel algorithms for testing k- 
connectivity and finding disjoint s-t paths in graphs. 92e:05110 

Kierstead, H. A. (with Trotter, W. T.) On-line graph coloring. (see 92m:68005) 

Kim, Haklin Finding a maximum independent set in a permutation graph. 92f:05090 

Kowaluk, Mirostaw see Jaromczyk, Jerzy W., 92d:05155 

Kratochvil, Jan (with Lubiw, Anna; NeSetiil, Jaroslav) Noncrossing subgraphs in topologi- 
cal layouts. 92e:05111 

Kutera, Ludék * Combinatorial algorithms. 92h:05126 

— see also Frieze, Alan M., 92b:05070 

Lagergren, Jens see Arnborg, Stefan; et al., 92d:05150 

Lam, Clement W. H. see Ma, Ka Leung, 92j:05168 

Lin, Yang-Tsong (with Zheng, Si-Qing) A linear-time algorithm for constructing minimum 
height B-trees. 92k:05120 

Lingas, Andrzej An unfeasible matching problem. 92i:05205 

Linial, Nathan Locality in distributed graph algorithms. 92m:05184 

Liu, Yan Pei On Boolean characterizations of planarity and planar embeddings of graphs. 
92e:05112 

Liu, Zhen Hong! An example of the inverse problem method. (Chinese. English summary) 

Lubiw, Anna see Kratochvil, Jan; et al., 92e:05111 

Ma, Ka Leung (with Lam, Clement W. H.) Partition algorithm for the dominating set 
problem. 92j:05168 

Ma, Tze Heng (with Spinrad, Jeremy P.) Avoiding matrix multiplication. 92c:05150 

MacGillivray, Gary On the complexity of colouring by vertex-transitive and arc-transitive 
digraphs. 924:05156 

— see also Cockayne, E. J.; et al., 92j:05165 

Makedon, Fillia see Haralambides, J.; et al., 92i:05200 

Manoussakis, Yannis A linear-time algorithm for finding Hamiltonian cycles in tourna- 
ments. 

Masuda, Sumio see Kashiwabara, Toshinobu; et al., 92m:05183 

Masuyama, Shigeru On the tree packing problem. 92h:05127 

Mcintyre, David R. Construction of the dual of a plane graph. 92h:05128 

Megiddo, Nimrod see Cohen, Edith, 92g:05166 

Middendorf, Matthias (with Pfeiffer, Frank) The paths-selection problem. 92c:05151 

Miller, Gary L. (with Reif, John Henry) Parallel tree contraction. II. Further applications. 
92k:05121 

Mo, Zhuguo (with Williams, Kenneth L.) On the complexity of finding K disjoint 
maximum matchings. 92g:05168 


COMBINATORICS 1992 142 


Monien, Burkhard see Haralambides, J.; et al., 92i:05200 and Hromkovit, Juraj, (92g:68008) 

Morgenstern, Craig A. (with Shapiro, Henry D.) Heuristics for rapidly four-coloring large 
planar graphs. 92g:05169 

Murphy, Owen J. Computing independent sets in graphs with large girth. 92i:05206 

Mynhardt, C.M. see Cockayne, E. J.; et al., 92j:05165 

Nakajima, Kazuo see Kashiwabara, Toshinobu; et al., 92m:05183 

NeSet?il, Jaroslav see Kratochvil, Jan; et al., 92e:05111 

Nishizeki, Takao see Suzuki, Hitoshi; et al., 92b:05071 

Olesky, D. D. (with Slater, T. A.) A forward lower restricted ordering algorithm for 
digraphs. 92h:05129 

Opatrny, J. (with Srinivasan, N.; Alagar, V.S.) Algorithmic properties of (k, 2)-geodetic 
graphs. 92m:05185 

— see also GowriSankaran, C., 92i:05199 

Paul, Jerome L. see Berman, Kenneth A., 92i:05195 

Peled, Uri N. (with Simeone, Bruno) The threshold measure of a graph. 924:05157 

Peng, Shietung see Adhar, Gur S., 92h:05123 

Peng, Yiping see Deogun, Jitender S., 92i:05197 

Pfeiffer, Frank see Middendorf, Matthias, 92c:05151 

Plaisted, David A. A heuristic algorithm for small separators in arbitrary graphs. 92f:05091 

Plehn, Jiirgen (with Voigt, Bernd) Finding minimally weighted subgraphs. 92c:05152 

Provan, J. Scott The role of Steiner hulls in the solution to Steiner tree problems. 
92m:05186 

Quilliot, Alain About the complexity of some homomorphism problems on graphs. 
92e:05113 

Ramos Dominguez, Maria Teresa see Ramos Dominguez, Rosa Maria, (92m:00051) 

Ramos Dominguez, Rosa Maria (with Ramos Dominguez, Maria Teresa) A classification of 
NP-complete combinatorial problems. (Spanish. English summary) (see 92m:00051) 

Rao, Sailesh K. (with Sadayappan, P.; Hwang, Frank K.; Shor, Peter W.) The rectilinear 
Steiner arborescence problem. 92i:05207 

Reif, John Henry see Miller, Gary L., 92k:05121 

Richards, Dana S. (with Salowe, Jeffrey S.) A linear-time algorithm to construct a 
rectilinear Steiner minimal tree for k-extremal point sets. 92i:05208 

Ruland, Detlev see Huckenbeck, Ulrich, 92e:05109 

Sachs, Horst see Al-Khnaifes, Khaled, 92i:05193 

Sadayappan, P. see Rao, Sailesh K.; et al., 92i:05207 

Salowe, Jeffrey S. see Richards, Dana S., 92i:05208 

Schiffer, Alejandro A. Recognizing brittle graphs: remarks on a paper of Hoang and 
Khouzam. 92a:05121 

Scheffler, Petra A linear algorithm for the pathwidth of trees. 92a:05122 

Schieber, Baruch see Khuller, Samir, 92¢:05110 

Schild, Goran The time travelling problem. 92f:05092 

Schmidt, Paul J. (with Haynes, Teresa W.) On a graph transformation where nodes are 
replaced by complete subgraphs. 92h:05130 

Seese, Detlef see Arnborg, Stefan; et al., 92d:05150 

Shapiro, Henry D. see Morgenstern, Craig A., 92g:05169 

Sherwani, Naveed A. see Winston, Anand Kumar, et al., 92k:05123 

Shing, Man-Tak see Agarwal, Pankaj Kumar, 92c:05143 

Shor, Peter W. see Rao, Sailesh K.; et al., 92i:05207 

Simeone, Bruno see Peled, Uri N., 92d:05157 

Sinha, Bhabani P. see Srimani, Pradip K.; et al., 92g:05170 

Skorin-Kapov, Darko see Granot, Daniel, 92d:05154 

Slater, T. A. see Olesky, D. D., 92h:05129 

Slough, William (with Winklmann, Karl) On limitations of transformations between 
combinatorial problems. 924:05158 

Spinrad, Jeremy P. see Ma, Tze Heng, 92c:05150 

Srimani, Pradip K. (with Sinha, Bhabani P.; Bhattacharya, Bhargab B.; Ghosh, Suranjan) 
Properties of a class of trivalent network graphs and optimal routing. 92g:05170 

Srinivasan, N. see Opatrny, J.; et al., 92m:05185 

Stanton, Ralph Gordon An algorithm for nonisomorphic coverings. 92m:05187 

Stohr, Elena The pagewidth of trivalent planar graphs. 92c:05153 

Su, Tung Hsing (with Chang, Ruei Chuan) On constructing the relative neighborhood 
graphs in Euclidean k-dimensional spaces. (German summary) 92k:05122 

Sun, Li Shan (with Sun, Yu Geng; Yang, Shan) The minimum augmentation of an arbitrary 
undirected graph to an R-edge-connected graph. (Chinese. English summary) 92¢:05154 

Sun, Yu Geng see Sun, Li Shan; et al., 92c:05154 

Suzuki, Hitoshi (with Ishiguro, Akira; Nishizeki, Takao) Edge-disjoint paths in a grid 
bounded by two nested rectangles. 92b:05071 

Szegedy, Marié see Halldérsson, Magnis M., (92m:68005) 

Szwarcfiter, Jayme L. (with Barroso, Magali M. A.) Enumerating the maximal cliques of a 
circle graph. 92h:05131 

Tamassia, Roberto Drawing algorithms for planar st-graphs. 92¢:05114 

Terebenkov, A. P. On the NP-completeness of problems on determining the maximal 
cut and cycle covering in a planar graph. (Russian. English and Ukrainian summaries) 
924:05159 

Trotter, W. T. see Kierstead, H. A., (92m:68005) 

Voigt, Bernd see Plehn, Jiirgen, 92c:05152 

Wallis, W. D. (with Wu, Ju Lin) On clique partitions of split graphs. 92j:05169 

Wanke, Egon Algorithms for graph problems on BNLC structured graphs. 92g:05171 

Waxman, Bernard M. Can Steiner tree approximation algorithms do better than two? 
92j:05170 

Wilkeit, Elke Isometric embeddings in Hamming graphs. 92e:05115 

Williams, Kenneth L. see Mo, Zhuguo, 92g:05168 

Winkimann, Karl see Slough, William, 92d:05158 

Winston, Anand Kumar (with Gupta, Ajay K.; Sherwani, Naveed A.) Minimum average 
dilation embeddings for hypercube. 92k:05123 

Wa, Ju Lin see Wallis, W. D., 92j:05169 

Yang, Shan see Sun, Li Shan; et al., 92c:05154 

Zheng, Si-Qing see Lin, Yang-Tsong, 92k:05120 

Zhu, Bing Huan An algorithm for outerplanar graphs with parameters. (Chinese. English 
summary) 924d:05160 





143 1992 


— (with Goddard, Wayne D.) An algorithm for outerplanar graphs with parameter. 
92i:05209 

Zivkovic, Dejan A fast algorithm for finding the compact sets. 92d:05161 

Zackerman, David On the time to traverse all edges of a graph. 92g:05172 


Items with secondary classifications in 05C85 

Ahuja, Ravindra K. (with Magnanti, Thomas L.; Orlin, James B.) Network flows. (see 
92a:90001) 

Ali, Hesham H. see El-Rewini, Hesham 

Alon, Noga A parallel algorithmic version of the local lemma. 92i:05220 

Arbib, Claudio Two polynomial problems in PLA folding. 92c:68004 

Arikati, Srinivasa R. (with Pandu Rangan, C.; Manacher, Glenn K.) Efficient reduction for 
path problems on circular-arc graphs. 92h:68036 

— (with Pandu Rangan, C.) An efficient algorithm for finding a two-pair, and its applica- 
tions. 92a:68115 

Arnborg, Stefan see Lagergren, Jens, (92g:68004) 

Atkinson, M. D. On computing the number of linear extensions of a tree. 92a:68113 

Aurenhammer, Franz (with Hagauer, Johann) Recognizing binary Hamming graphs in 
O(n? log n) time. 92d:68093 

Ausiello, Giorgio (with Italiano, Giuseppe F.; Marchetti-Sp la, Alberto; Nanni, 
Umberto) Incremental algorithms for minimal length paths. 92g:68025 

Balas, Egon (with Xue, Jue) Minimum weighted coloring of triangulated graphs, with 
application to maximum weight vertex packing and clique finding in arbitrary graphs. 
92h:68069 

Beame, Paul (with Borodin, Allan; Raghavan, Prabhakar; Ruzzo, Walter L.; Tompa, Martin) 
Time-space tradeoffs for undirected graph traversal. (see 92i:68010) 

— Lower bounds for recognizing small cliques on CRCW PRAM’s. 

Beck, Jézsef An algorithmic approach to the Lovasz local lemma. I. 92i:05219 

Bern, Marshall (with Bienstock, Daniel) Polynomially solvable special cases of the Steiner 
problem in planar networks. 92i:90041 

Bhasker, J. (with Samad, Tariq) The clique-partitioning problem. 92i:05113 

Bienstock, Daniel Some provably hard crossing number problems. 92i:05081 

— On the complexity of testing for odd holes and induced odd paths. 92m:68040a 

— (with Seymour, P. D.) Monotonicity in graph searching. 92¢:68150 

— Some generalized max-flow min-cut problems in the plane. 92¢:90117 

— Corrigendum: “On the complexity of testing for odd holes and induced odd paths”. 
92m:68040b 

— see also Bern, Marshall, 92i:90041 

Boals, Alfred J. (with Nouh, J.) On edge traffic vectors. 92j:05173 

Bodlaender, Hans L. On the complexity of some coloring games. 92e:90151 

— On the complexity of some coloring games. 92j:68042 

Bordat, Jean-Paul Efficient polynomial algorithms for distributive lattices. 92m:68088 

Borie, Richard B. Polynomial time algorithms for recursive graph classes. 92m:68091 

Borodin, Allan see Beame, Paul; et al., (92i:68010) 

Bousba, Choaib (with Wolsey, Laurence A.) Finding minimum cost directed trees with 
demands and capacities. 92h:90047 

Boyd, Sylvia C. (with Ural, Hasan) The synchronization problem in protocol testing and its 
complexity. 

(Brauer, Wilfried) see Diekert, Volker, 92d:68070 

Brewster, Richard (with MacGillivray, Gary) A note on restricted H-colouring. 

Bryart, Roy D. (with Fredricksen, E. R.; Fredricksen, Harold) Covering graphs. 92h:05091 

Burkard, Rainer E. (with Sandholzer, W.) Efficiently solvable special cases of bottleneck 
travelling salesman problems. 92d:90052 

Burr, Stefan A. On the computational complexity of Ramsey-type problems. (see 
924:05172) 

Cai, Leizhen (with Ellis, John A.) Edge colouring line graphs of unicyclic graphs. 
92m:05079 

Calkin, Neil (with Frieze, Alan M.) Probabilistic analysis of a parallel algorithm for finding 
maximal independent sets. 92f:68060 

Cameron, Kathie (with Edmonds, Jack) Existentially polytime theorems. 92i:68043 

Campbell, Douglas M. (with Radford, David) Tree isomorphism algorithms: speed vs. 
clarity. 92g:05067 

Candia Vejar, Alfredo see Maculan, Nelson; et ai., 92h:90051 

Cheah, F. (with Corneil, D. G.) Addendum: “The complexity of regular subgraph 
recognition” [Discrete Appl. Math. 27 (1990), no. 1-2, 59-68; MR 91i:68055]. 92f:68064 

Chrobak, Marek (with Naor, Joseph) An efficient parallel algorithm for computing a large 
independent set in a planar graph. 92j:68094 

Chvatal, VaSek Which line-graphs are perfectly orderable? 92a:05105 

Cimikowski, Robert J. Finding longest cycles in inner-triangulated graphs. 92b:05054 

Clausen, Jens (with Traff, Jesper Larsson) Implementation of parallel branch-and-bound 
algorithms—experiences with the graph partitioning problem. 92k:65095 

Cohen, Edith (with Tarsi, Michael) NP-completeness of graph decomposition problems. 
92j:68030 

Cook, William J. (with Hartmann, Mark E.) On the complexity of branch and cut methods 
for the traveling salesman problem. 924:90054 

Coolsaet, K. (with Fack, V.) Classifying strongly regular graphs using lexical ordering of 
adjacency matrices. 92a:05133 

Cooperman, G. (with Finkelstein, Larry A.; Sarawagi, N.) Applications of Cayley graphs. 
92:68134 

Corneil, D. G. see Cheah, F., 92f:68064 and Wagner, Alan, 92f:68073 

Cunningham, William H. The optimal multiterminal cut problem. 92k:90112 

Czyzowicz, Jurek (with Rival, Ivan; Urrutia, Jorge) Galleries and light matchings: fat 
cooperative guards. 92j:52024 

Damaschke, Peter Induced subgraph isomorphism for cographs is NP-complete. 92¢:68066 

Dawes, Robin W. Minimum odd neighbourhood covers for trees. 92i:68121 

Diekert, Volker * Combinatorics on traces. 924:68070 

Dolan, John (with Weiss, Richard; Smith, J. MacGregor) Minimal length tree networks on 
the unit sphere. 92k:68098 

Duin, C. W. (with Volgenant, Anton) The multi-weighted Steiner tree problem. 92j:90029 





05C Graph theory 


05C85 


Dyer, Martin (with Frieze, Alan M.) The solution of some rand 
polynomial expected time. 92¢:68059 

— (with Frieze, Alan M.) Probabilistic analysis of a parallel algorithm for finding the 
lexicographically first depth first search tree in a dense random graph. 92a:68116 

Edmonds, Jack see Cameron, Kathie, 92i:68043 

Ellis, John A. see Cai, Leizhen, 92m:05079 

El-Mallah, Ehab S. (with Stewart, Lorna K.) Domination in polygon graphs. 92i:05117 

El-Rewini, Hesham (with Ali, Hesham H.) Scheduling conditional branching using 
representative task graphs. 

Emelichev, V. A. (with Perepelitsa, V. A.) Complexity of vector optimization problems on 
graphs. 92h:90104 

Exoo, Geoffrey On isomorphic graph factoring. 92b:05063 

Fack, V. see Coolsaet, K., 92a:05133 

Faigle, Ulrich (with Schrader, Rainer) A greedy reduction algorithm for setup optimiza- 
tion. 92j:90086 

Favaron, O. (with Mahéo, M.; Saclé, J. F.) On the residue of a graph. 924:05073 

Fellows, Michael R. (with Hoover, Mark N.) Perfect domination. 92e:05033 

— (with Kaschube, Paul A.) Searching for K3,; in linear time. 92i:05084 

Finkelstein, Larry A. see Cooperman, G.; et al., 92f:68134 

Fleischner, Herbert (with Woeginger, Gerhard J.) Detecting cycles through three fixed 
vertices in a graph. 92m:05110 

Forbes, M. A. (with Holt, J. N.; Kilby, P. J.; Watts, A.M.) A matching algorithm with 
application to bus operations. 92m:05148 

Fouks, Jean-Denis General resolution of Tseitin formulas is hard (extended abstract). (see 


NP-hard probl in 





Frank, Andrés (with Schrijver, Alexander) Vertex-disjoint simple paths of given homotopy 
in a planar graph. 924:05083 

Fredricksen, E.R. see Bryant, Roy D.; et al., 92h:05091 

Fredricksen, Harold see Bryant, Roy D.; et al., 92h:05091 

Fricke, Gerd H. (with Hare, Eleanor O.; Jacobs, David Pokrass; Majumdar, Aniket) On 
integral and fractional total domination. 92i:05121 

Frieze, Alan M. see Dyer, Martin, 92a:68116; 92e:68059 and Calkin, Neil, 92f:68060 

Fujisawa, Toshio see Kashiwabara, Toshinobu; et al., 92a:68117 

Gazit, Hillel An optimal randomized parallel algorithm for finding connected components 
ina graph. 92j:68040 

Gndoyan, A. K. (with Trubin, V. A.) Some classes of problems of the location of trees on a 
chain. (Russian. English and Ukrainian summaries) 92f:68133 

Gréger, Hans Dietmar A new partition lemma for planar graphs and its application to 
circuit complexity. (see 92g:68007) 

Grétschel, Martin (with Monma, Clyde L.; Stoer, Mechthild) Polyhedral approaches to 
network survivability. 92f:68006 

Gusfield, Dan (with Naor, Dalit) Efficient algorithms for generalized cut-trees. 92f:68135 

Gutjahr, Walter Uniform random generation of expressions respecting algebraic ideatities. 
(German summary) 92j:68061 

Gutjahr, Wolfgang (with Welzl, Emo; Woeginger, Gerhard J.) Polynomial graph-colorings. 
92m:05081 

Gyarfas, Andras (with Lehel, Jené) Effective on-line coloring of Ps-free graphs. 92h:05055 

Hagauer, Johann see Aurenhammer, Franz, 924:68093 

Hakimi, S. Louis (with Schmeichel, Edward; Weinstein, J.) Partitioning planar graphs into 
independent sets and forests. 92h:05096 

Han, Yijie A fast derandomization scheme and its applications. 92k:68100 

Hansen, Pierre (with Kuplinsky, Julio) Slightly hard-to-color graphs. 92h:05056 

Hare, Eleanor O. see Fricke, Gerd H.; et al., 92i:05121 

Hartmann, Mark E. see Cook, William J., 92d:90054 

Hassin, Refael Multiterminal xcut problems. 92j:90030 

He, Xin Efficient parallel algorithms for series parallel graphs. 92¢:68152 

Hedetniemi, Sandra M. (with Hedetniemi, Stephen T.; Jacobs, David Pokrass) Private 
domination: theory and algorithms. 92i:05123 

Hedetniemi, Stephen T. see Hedetniemi, Sandra M.; et al., 92i:05123 and McRae, A., 
92m:05103 

Hemachandra, Lane A. see Kratsch, Dieter, (92g:68007) 

Hendy, Michael D. A combinatorial description of the closest tree algorithm for finding 
evolutionary trees. 92k:92013 

Hilfinger, Paul (with Lawler, Eugene L.; Rote, Ginter) Flattening a rooted tree. 92i:68122 

Holt, J. N. see Forbes, M. A.; et al., 92m:05148 

Hoover, Mark N. see Fellows, Michael R., 92e:05033 

Hsu, Cheng Ho (with Lam, Kin Tak) Topological code of graphs. 92j:05127 

Ibaraki, Toshihide (with Poljak, Svatopluk) Weak three-linking in Eulerian digraphs. 
92a:05063 

— see also Masuyama, Shigeru, 92j:68098 

Imase, Makoto (with Waxman, Bernard M.) Dynamic Steiner tree problem. 92f:68066 

Italiano, Giuseppe F. see Ausiello, Giorgio; et al., 92g:68025 

Jackson, Bill Shortest circuit covers and postman tours in graphs with a nowhere zero 4- 
flow. 924:90026 

Jacobs, David Pokrass see Fricke, Gerd H.; et al., 92i:05121 and Hedetniemi, Sandra M.; et 
al., 92i:05123 

Jin, Da Yong see Yang, Cheng En, 92k:90115 

Johns, Garry L. (with Lee, Tai Chi) S-distance in trees. 92j:68097 

Kajitani, Yoji (with Takahashi, Toshihiko) Minimum rectilinear drawing of a graph whose 
vertices are fixed on a plane. 92h:05045 

Kanevsky, Arkady (with Ramachandran, Vijaya) Improved algorithms for graph four- 
connectivity. 92e:68153 

Kaschube, Paul A. see Fellows, Michael R., 92i:05084 

Kashiwabara, Toshinobu (with Masuda, Sumio; Nakajima, Kazuo; Fujisawa, Toshio) 
Polynomial time algorithms on circular-arc overlap graphs. 92a:68117 

Kierstead, H. A. A polynomial time approximation algorithm for dynamic storage 
allocation. 92a:05123 

Kilby, P. J. see Forbes, M. A.; et al., 92m:05148 

Kitagawa, Fumio An algorithm for constructing a weight-controlled subset and its 
application to graph coloring problem. 92g:05004 





05C85 


Koebe, M. Colouring of spider graphs. 92a:05055 

Kountanis, Dionisios see Kubicka, Ewa; et al., (92h:68004) 

Kratsch, Dieter (with Hemachandra, Lane A.) On the complexity of graph reconstruction. 
(see 92g:68007) 

Kubicka, Ewa (with Kubicki, Grzegorz; Kountanis, Dionisios) Approximation algorithms 
for the chromatic sum. (see 92h:68004) 

Kubicki, Grzegorz see Kubicka, Ewa; et al., (92h:68004) 

Kuétera, Ludék The greedy coloring is a bad probabilistic algorithm. 92k:05117 

Kumar, Vipin A general heuristic bottom-up procedure for searching AND/OR graphs. 
92a:68118 

Kuplinsky, Julio see Hansen, Pierre, 92h:05056 

Lagergren, Jens (with Arnborg, Stefan) Finding minimal forbidden minors using a finite 
congruence. (see 92g:68004) 

Lam, Kin Tak see Hsu, Cheng Ho, 92j:05127 

Lang, Rainer Numberings on graphs having small edge weights. 92a:05114 

Lawler, Eugene L. see Hilfinger, Paul; et al., 92i:68122 

Lee, Der Tsai see Yang, C. D.; et al., (92i:68003) 

Lee, Tai Chi see Johns, Garry L., 92j:68097 

Lehel, Jené see Gyarfas, Andras, 92h:05055 

Leighton, Frank Thomson (with Plaxton, C. Greg) A (fairly) simple circuit that (usually) 
sorts. 92j:68018 

— * Introduction to parallel algorithms and architectures. 92j:68041 

Lepovié, Mirko Maximal canonical graphs with 6 nonzero eigenvalues. (Serbo-Croatian 
summary) 92b:05060 

Liang, Shu Li see Yang, Cheng En, 92d:05090 

Lin, R. (with Olariu, Stephan) An NC recognition algorithm for cographs. 92h:68070 

Livingston, Marilynn (with Stout, Quentin F.) Perfect dominating sets. 92h:05110 

Luccio, Fabrizio (with Pagli, Linda) An efficient algorithm for some tree matching 
problems. 92i:68060 

Luczak, Tomasz Holes in random graphs. 92c:05140 

Ma, Tze Heng (with Spinrad, Jeremy P.) Cycle-free partial orders and chordal comparabil- 
ity graphs. 92i:05103 

MacGillivray, Gary see Brewster, Richard 

Maculan, Nelson (with Souza, Paulo; Candia Vejar, Alfredo) An approach for the Steiner 
problem in directed graphs. 92h:90051 

— (with Salles, J. J.C.) A lower bound for the shortest Hamiltonian path in directed graphs. 
(German summary) 92f:90071 

Magnanti, Thomas L. see Ahuja, Ravindra K.; et al., (92a:90001) 

Mahéo, M. see Favaron, O.; et al., 924:05073 

Majumdar, Aniket see Fricke, Gerd H.; et al., 92i:05121 

Makedon, Fillia (with Tragoudas, Spyros) Approximating the minimum net expansion: 
near optimal solutions to circuit partitioning problems. 92¢:68147 

Manacher, Glenn K. see Arikati, Srinivasa R.; et al., 92h:68036 

Manber, Rachel see Narasimhan, Giri, 92g:68115 

Manber, Udi see Pruhs, Kirk, 92e:68077 

Marathe, Madhav V. see Ravi, R.; et al., 92m:05116 

M: i-Sp la, Alberto see Ausiello, Giorgio; et al., 92g:68025 

Masuda, Sumio see Kashiwabara, Toshinobu; et al., 92a:68117 

Masuyama, Shigeru (with Ibaraki, Toshihide) Chain packing in graphs. 92j:68098 

McNamara, James N. (with Radziszowski, Stanislaw P.) The Ramsey numbers R(K4 — 
e, Kg — e) and R(K, — e, K; —e). 92k:05094 

McRae, A. (with Hedetniemi, Stephen T.) Finding n-independent dominating sets. 
92m:05103 

Miller, Gary L. (with Vavasis, Stephen A.) Density graphs and separators. (see 92b:68016) 

Miroshnichenko, V. 1. An algorithm for constructing trees that are close to a tree of minimal 
length. (Russian) 924:90058 

Mitchell, John E. (with Todd, Michael J.) Solving matching problems using Karmarkar’s 
algorithm. 92a:90046 

Miyano, Satoru A5-complete lexicographically first maximal subgraph problems. 92k:68041 

Monma, Clyde L. see Grétschel, Martin; et al., 92f:68006 

Moreno, José A. The continuous median of a graph. (Spanish. English summary) 
92g:90091 

Miiller, Rudolf (with Wagner, Dorothea) a-vertex separator is NP-hard even for 3-regular 
graphs. (German summary) 92j:68053 

Marphy, Owen J. Lower bounds on the stability number of graphs computed in terms of 
degrees. 92k:05072 

Nakajima, Kazuo see Kashiwabara, Toshinobu; et al., 92a:68117 

Nanni, Umberto see Ausiello, Giorgio; et al., 92g:68025 

Naor, Dalit see Gusfield, Dan, 92f:68135 

Naor, Joseph see Chrobak, Marek, 92j:68094 

Narasimhan, Giri (with Manber, Rachel) A generalization of Lovasz’s @ function. 
92g:68115 

Nel, Louis Daniel? (with Zhang, Fan) Selecting s, t-cutsets for edge-packing-based 
reliability bounds. 92h:05072 

Nouwh, J. see Boals, Alfred J., 92j:05173 

Olariu, Stephan see Lin, R., 92h:68070 

Orlin, James B. see Ahuja, Ravindra K.; et al., (92a:90001) 

Pagli, Linda see Luccio, Fabrizio, 92i:68060 

Pandu Rangan, C. see Arikati, Srinivasa R., 92a:68115; 92h:68036 and Ravi, R.; et al., 
92m:95116 

Pantziou, Grammati E. (with Spirakis, Paul G.; Zaroliagis, Christos D.) Optimal parallel 
algorithms for sparse graphs. 92c:68070 

Parekh, Abhay K. Analysis of a greedy heuristic for finding small dominating sets in graphs. 
92i:68127 

Perepelitsa, V. A. see Emelichev, V. A., 92h:90104 

Plaxton, C. Greg see Leighton, Frank Thomson, 92j:68018 

Poljak, Svatopluk see Ibaraki, Toshihide, 92a:05063 

Provan, J. Scott Two new criteria for finding Steiner hulls in Steiner tree problems. 
92i:05079 

Pruhs, Kirk (with Manber, Udi) The complexity of controlled selection. 92e:68077 





COMBINATORICS 


1992 


Quilliot, Alain Algorithmes de cheminement pour des réseaux représentatifs d’actions 
non déterministes. (English summary) [Path algorithms for networks representing 
nondeterministic actions] 92f:93070 

Radford, David see Campbell, Douglas M., 92g:05067 

Radhakrishnan, Jaikumar Improved bounds for covering complete uniform hypergraphs. 
92m:68095 

Radziszowski, Stanistaw P. see McNamara, James N., 92k:05094 

Raghavan, Prabhakar see Beame, Paul; et al., (92i:68010) 

Ramachandran, Vijaya see Kanevsky, Arkady, 92e:68153 

Raman, Venkatesh Finding the best edge-packing for two-terminal reliability is NP-hard. 
92¢:68078 

Ranaivoson, Solomampionona Nontrivial lower bounds for some NP-problems on directed 
graphs. (see 924:68007) 

Ravi, R. (with Marathe, Madhav V.; Pandu Rangan, C.) An optimal algorithm to solve the 
all-pair shortest path problem on interval graphs. 92m:05116 

Reischuk, Riidiger Graph theoretical methods for the design of parallel algorithms. (see 
92g:68007) 

Reuter, Klaus (with Rival, Ivan) Genus of orders and lattices. 924:68113 

Rival, Ivan see Reuter, Klaus, 92d:68113 and Czyzowicz, Jurek; et al., 92j:52024 

Rote, Ginter see Hilfinger, Paul; et al., 92i:68122 

Rubinstein, J. H. (with Thomas, D. A.) Graham’s problem on shortest networks for points 
on acircle. 92m:05104 

Ruzzo, Walter L. see Beame, Paul; et al., (92i:68010) 

Saclé, J. F. see Favaron, O.; et al., 92d:05073 

Salles, J. J.C. see Maculan, Nelson, 92f:90071 

Samad, Tariq see Bhasker, J., 92i:05113 

Sandholzer, W. see Burkard, Rainer E., 92d:90052 

Sarawagi, N. see Cooperman, G.; et al., 92f:68134 

Savage, John E. (with Wloka, Markus G.) On parallelizing graph-partitioning heuristics. 
(see 91e:68004) 

Scheffler, Petra What graphs have bounded tree-width? 92i:68128 

Schimmler, Manfred Parallel strong orientation on a mesh connected computer. 92k:68033 

Schmeichel, Edward see Hakimi, S. Louis; et al., 92h:05096 

Schrader, Rainer see Faigle, Ulrich, 92j:90086 

Schrijver, Alexander On the strong connectivity problem. 92c:90051 

— Homotopic routing methods. 92f:68139 

— Disjoint homotopic paths and trees in a planar graph. 92f:05039 

— see also Frank, Andras, 92d:05083 

Seymour, P. D. Colouring series-parallel graphs. 92¢e:05048 

— Directed circuits on a torus. 92m:05072 

— see also Bienstock, Daniel, 92e:68150 

Shinoda, Shoji see Tani, Katsunori; et al., 92c:68008 

Shirakawa, Isao see Tani, Katsunori; et al., 92c:68008 

Smith, J. MacGregor see Dolan, John; et al., 92k:68098 and Winter, Pawel, 92k:68104 

Smith, MacGregor see Winter, Pawel, 92k:05074 

Souza, Paulo see Maculan, Nelson; et al., 92h:90051 

Spinrad, Jeremy P. see Ma, Tze Heng, 92i:05103 

Spirakis, Paul G. see Pantziou, Grammati E.; et al., 92c:68070 

Stamm, Hermann On feedback problems in planar digraphs. 92f:68072 

Steiner, George On counting constrained depth-first linear extensions of ordered sets. 
92h:06003 

Stewart, Lorna K. see El-Mallah, Ehab S., 92i:05117 

Stoer, Mechthild see Grotschel, Martin; et al., 92f:68006 

Stout, Quentin F. see Livingston, Marilynn, 92h:05110 

Takahashi, Toshihiko see Kajitani, Yoji, 92h:05045 

Tamir, Arie Obnoxious facility location on graphs. 92g:90092 

Tani, Katsunori (with Tsukiyama, Shuji; Shinoda, Shoji; Shirakawa, Isao) On area-efficient 
drawings of rectangular duals for VLSI floor-plan. 92c:68008 

Tarjan, Robert E. see Westbrook, Jeffery, 92m:68014 

Tarsi, Michael see Cohen, Edith, 92j:68030 

Thomas, D. A. see Rubinstein, J. H., 92m:05104 

Thomas, Wolfgang On logics, tilings, and automata. (see 92g:68004) 

Toda, Seinosuke On the complexity of topological sorting. 92c:68060 

Todd, Michael J. see Mitchell, John E., 92a:90046 

Tompa, Martin see Beame, Paul; et al., (92i:68010) 

Traff, Jesper Larsson see Clausen, Jens, 92k:65095 

Tragoudas, Spyros see Makedon, Fillia, 92c:68147 

Trubin, V. A. On the determination of graph strength. (Russian) 92c:05121 

— Network uniformity deficit and its reduction. (Russian) 92g:05114 

— see also Gndoyan, A. K., 92f:68133 

Tsukiyama, Shuji see Tani, Katsunori; et al., 92c:68008 

Ural, Hasan see Boyd, Sylvia C. 

Urrutia, Jorge see Czyzowicz, Jurek; et al., 92j:52024 

Vavasis, Stephen A. see Miller, Gary L., (92b:68016) 

Volgenant, Anton see Duin, C. W., 92j:90029 

Wagner, Alan (with Corneil, D.G.) Embedding trees in a hypercube is NP-complete. 
92:68073 

Wagner, Dorothea see Miller, Rudolf, 92j:68053 

Wang, Ze Ke Variable dimension simplicial restart fixed-point algorithms. (Chinese) 
92e:65083 

Watts, A. M. see Forbes, M. A.; et al., 92m:05148 

Waxman, Bernard M. see Imase, Makoto, 92f:68066 

Weinstein, J. see Hakimi, S. Louis; et al., 92h:05096 

Weiss, Richard see Dolan, John; et al., 92k:68098 

Welzl, Emo see Gutjahr, Wolfgang; et al., 92m:05081 

Westbrook, Jeffery (with Tarjan, Robert E.) Maintaining bridge-connected and biconnected 
components on-line. 92m:68014 

Widmayer, Peter On graphs preserving rectilinear shortest paths in the presence of 
obstacles. 92i:05134 





145 1992 


Wilf, Herbert S. (with Yoshimura, Nancy A.) Ranking rooted trees, and a graceful 
application. 924:05049 

Winter, Pawel (with Smith, J. MacGregor) Steiner minimal trees for three points with one 
convex polygonal obstacle. 92k:68104 

— (with Smith, MacGregor) Path-distance heuristics for the Steiner problem in undirected 
networks. 92k:05074 

Wloka, Markus G. see Savage, John E., (91¢:68004) 

Woeginger, Gerhard J. see Gutjahr, Wolfgang; et al., 92m:05081 and Fleischner, Herbert, 
92m:05110 

Wolsey, Laurence A. see Bousba, Choaib, 92h:90047 

Wong, Chak Kuen see Yang, C. D.; et al., (92i:68003) 

Xu, Wei Xuan An improved algorithm for planarity testing based on Wu-Liu’s criterion. 
92e:05038 

Xue, Jue see Balas, Egon, 92h:68069 

Yang, C.D. (with Lee, Der Tsai; Wong, Chak Kuen) On bends and lengths of rectilinear 
paths: a graph-theoretic approach. (see 92i:68003) 

Yang, Cheng En (with Liang, Shu Li) Several problems of counting cycles in lattice graphs. 
924:05090 

— (with Jin, Da Yong) A primal-dual algorithm for the minimum average weighted length 
circuit problem. 92k:90115 

Yoshimura, Nancy A. see Wilf, Herbert S., 92d:05049 

Zadoyan, K. V. * CnoxuocTs 3afa4n pas6ueHHa MHOXecTBa Hysieh Gynesok byHKuHH Ha 
HellepeceKalomlHecad NogwMHOxecTBa. (Russian) [Complexity of a problem of partitioning 
a set of zeros of a Boolean function into disjoint subsets] 92h:05107 

Zambitskii, D. K. An algorithm for determining medians in a median graph with probabilis- 
tic vertex weights. (Russian) 92g:90166 

Zaroliagis, Christos D. see Pantziou, Grammati E.; et al., 92c:68070 

Zhang, Fan see Nel, Louis Daniel”, 92h:05072 


05C90 Applications 


Aissen, Michael (with Shay, Brian) Numerical codes for operation trees. 92d:05162 

Colbourn, Charles J. A note on bounding k-terminal reliability. 92k:05124 

Coulter, Edwin see Mauldin, Nancy S.; et al., 92h:05132 

Foulds, L. R. (with Giffin, J. W.) Some graph-theoretic approaches to certain facilities 
layout models. 92c:05155 

Galiulin, R. V. (with Konovalov, O. V.) Complete varieties of two-dimensional isogonal 
minimum graphs. (Russian) 92d:05163 

Gao, Jing Zhen Applications of graph theory in cluster analysis. (Chinese) 

Giffin, J. W. see Foulds, L. R., 92c:05155 

Hare, William R. see Mauldin, Nancy S.; et al., 92h:05132 

He, Wen Chen see He, Wen Jie, 92e:05116 

He, Wen Jie (with He, Wen Chen) A complete set of combination invariants of planar 
honeycomb graphs and its applications in chemistry. 92¢:05116 

Hsu, Cheng Ho (with Lam, Kin Tak) Automatic development of contracted graphs for 
kinematic chains with simple joints. 92j:05171 

Kawaguchi, Kimio see Wada, Koichi; et al., 92m:05189 

Kierstead, H. A. A polynomial time approximation algorithm for dynamic storage 
allocation. 92a:05123 

Konovalov, O. V. see Galiulin, R. V., 92d:05163 

Kornai, Andras (with Tuza, Zsolt) Narrowness, pathwidth, and their application in natural 
language processing. 92m:05188 

Lam, Kin Tak see Hsu, Cheng Ho, 92j:05171 

Lovasz, Laszl6 (with Schrijver, Alexander) Cones of matrices and set-functions and 0-1 
optimization. 92b:05072 

Luo, Yupin see Wada, Koichi; et al., 92m:05189 

Mauldin, Nancy S. (with Coulter, Edwin; Hare, William R.) An application of signed 
graphs to international relations. 92h:05132 

Ordman, Edward T. Distributed graph recognition with malicious faults. 92j:05172 

Sanchez Garcia, Miguel see Sicilia Rodriguez, J., (92g:00025) 

Schrijver, Alexander see Lovdsz, Laszl6, 92b:05072 

Shakhbazyan, K. V. Representation of a lattice of processes in a graph by a pair algebra. An 
isomorphism theorem. (Russian. English summary) 924:05164 

Shay, Brian see Aissen, Michael, 92d:05162 

Shiizuka, Hisao (with Tsukiyama, Shuji; Shirakawa, Isao) Properties of minimum ILFI 
graphs with Hamiltonian cycle. 924:05165 

Shirakawa, Isao see Shiizuka, Hisao; et al., 92d:05165 

Sicilia Rodriguez, J. (with Sanchez Garcia, Miguel) On the problem of finding the path of 
maximum expected capacity. (Spanish) (see 92g:00025) 

Stoyan, Gisbert (with Stoyan, Robert) Colouring the discretization graphs arising in the 
multigrid method. 92i:05210 

Stoyan, Robert see Stoyan, Gisbert, 92i:05210 

Tsukiyama, Shuji see Shiizuka, Hisao; et al., 92d:05165 

Tuza, Zsolt see Kornai, Andras, 92m:05188 

Wada, Koichi (with Luo, Yupin; Kawaguchi, Kimio) Optimal fault-tolerant routings for 
connected graphs. 92m:05189 


Items with secondary classifications in 05C90 

Balaban, Alexandru T. (with Balaban, Teodor-Silviu) New vertex invariants and topological 
indices of chemical graphs based on information on distances. 92h:92018 

Balaban, Teodor-Silviu see Balaban, Alexandru T., 92h:92018 

Balaz, Viadimir (with Kvasnitka, Vladimir; Pospichal, Jiti) Two metrics in a graph theory 
modeling of organic chemistry. 92m:92022 

Ball, Frank (with Barbour, A. D.) Poisson approximation for some epidemic models. 
92b:92048 

Bangov, Ivan P. see Demirev, Plamen A.; et al. 

Barbour, A. D. see Ball, Frank, 92b:92048 

van den Berg, Jacob (with Meester, R. W. J.) Stability properties of a flow process in graphs. 
924:90027 


05C Graph theory 


05C90 


Bermond, Jean-Claude (with Hell, Pavol; Liestman, Arthur L.; Peters, Joseph G.) Broad- 
casting in bounded degree graphs. 

Bienstock, Daniel (with Brickell, Ernest F.; Monma, Clyde L.) On the structure of 
minimum-weight k-connected spanning networks. 92c:90048 

— Some generalized max-flow min-cut problems in the plane. 92c:90117 

Boals, Alfred J. (with Nouh, J.) Improving pair-connected reliability of networks (edge 
failure model). 92m:90016 

Boisen, M. B., Jr. (with Gibbs, G. V.; Zhang, Z.G.) An application of graph theory to the 
estimation of bond numbers in crystals. 92m:82142 

Bonchev, Danail (with Kamenska, V.; Mekenyan, O.) Comparability graphs and molecular 
properties. III. Cy and Co alkanes. 

— (with Kamenska, V.; Mekenyan, O.) Comparability graphs and molecular properties. IV. 
Generalizations and applications. 

Bossut, F. (with Warin, B.) On a code problem concerning planar acyclic graphs. (French 
summary) 92m:68092 

Boyd, Sylvia C. (with Pulleyblank, William R.) Optimizing over the subtour polytope of the 
travelling salesman problem. 92b:90147 

Brattseva, E. V. (with Cherenin, V. P.) * AnropuTMbi arperuposanua. (Russian) [Aggrega- 
tion algorithms] 92c:05145 

Brickell, Ernest F. see Bienstock, Daniel; et al., 92c:90048 

Burkard, Rainer E. (with Sandholzer, W.) Efficiently solvable special cases of bottleneck 
travelling salesman problems. 924:90052 

Cameron, Kathie The maximum edge-weighted clique problem in complete multipartite 
graphs. 92c:05146 

Chandrasekaran, R. see Kabadi, S. N., 92b:90175 

Chepoi, V. D. The generalized Weber problem for discrete median spaces. (Russian. English 
and Ukrainian summaries) 92c:90065 

Cherenin, V. P. see Brattseva, E. V., 92c:05145 

Cheung, Kim H. see Myrvold, Wendy; et al., 92f:05065 

Chung, Shun-Ping (with Ross, Keith W.) On nonblocking multirate interconnection 
networks. 92¢:68010 

Ciurea, E. Minimum time improvement of an existing network. (Romanian summary) 

Curtis, R.T. On graphs and codes. 92m:94014 

Dassow, Jiirgen A remark on cooperating/distributed grammar systems controlled by 
graphs. 92h:68077 

Demirev, Plamen A. (with Dyulgerov, Alexander S.; Bangov, Ivan P.) CTI: a novel charge- 
related topological index with low degeneracy. 

Dias, Jerry R. see Gutman, Ivan, (92d:05003) 

Diudea, Mircea V. (with Kacsé, Irén E.) Molecular topology. IX. Composition rules for 
some topological indices. 

Dyulgerov, Alexander S. see Demirev, Plamen A.; et al. 

Feige, Uriel (with Peleg, David; Raghavan, Prabhakar; Upfal, Eli) Randomized broadcast 
in networks. 92i:68014 

Fischer, Michael J. (with Griffeth, Nancy D.; Guibas, Leonidas J.; Lynch, Nancy A.) 
Optimal placement of identical resources in a tree. 92i:90040 

Gibbs, G. V. see Boisen, M. B., Jr.; et al., 92m:82142 

Goh, C. J. (with Mees, Alistair I.) Optimal control on a graph with application to train 
scheduling problems. 92a:90016 

Griffeth, Nancy D. see Fischer, Michael J.; et al., 921:90040 

Guibas, Leonidas J. see Fischer, Michael J.; et al., 92i:90040 

Gutman, Ivan (with Dias, Jerry R.) The excised internal structure of hexagonal systems. 
(see 92d:05003) 

— (with Hosoya, Haruo) Molecular graphs with equal Z-counting and independence 
polynomials. 924:92036 

— Fragmentation formulas for the number of Kekulé structures, Hosoya and Merrifield- 
Simmons indices and related graph invariants. (Serbo-Croatian summary) 92c:92036 

Halpern, M. B. (with Obers, N. A.) Graph theory, SO() current algebra and the Virasoro 
master equation. 92e:17031 

Hell, Pavol see Bermond, Jean-Claude; et al. 

Hosoya, Haruo see Gutman, Ivan, 92d:92036 

Hu, Yu Ren Application of graph theory to structural calculation of thin-walled bars. 
(Chinese. English summary) 92f:73032 

Indzheyan, S. G. (with Nikogosyan, Zh. G.) “A pebbling-game” on the graph of a spiral- 
periodic function algorithm. (Russian. Armenian summary) 92¢:90141 

John, Peter Eugen Multilineare Aufzahlpolynome fiir Anzahlen von Linearfaktoren in 
katakondensierten hexagonalen Systemen. (English summary) (Multilinear enumeration 
polynomials for numbers of linear factors in catacondensed hexagonal systems] 

Kabadi, S. N. (with Chandrasekaran, R.) Solvable classes of generalized traveling salesman 
problems. 92b:90175 

Kacsé, Irén E. see Diudea, Mircea V. 

Kamenska, V. see Bonchev, Danail; et al. 

Kuchta, Dorota A note on the paper: “Characterization of all optimal solutions and 
parametric maximal flows in networks” [Optimization 16 (1985), no. 1, 51-61; MR 
86k:90140] by G. Ruhe. 92b:90220 

Kvasnitka, Vladimir (with Pospichal, Jiti) Graph-theoretical interpretation of Ugi’s 
concept of the reaction network. 92d:92037 

— see also Balad, Viadimir; et al., 92m:92022 

Lehman, Alfred The width-length inequality and degenerate projective planes. 92c:90091 

Liestman, Arthur L. see Bermond, Jean-Claude; et al. 

Lynch, Nancy A. see Fischer, Michael J.; et al., 92i:90040 

McGuinness, Sean Recurrent networks and a theorem of Nash-Williams. 92c:60094 

Mees, Alistair I. see Goh, C. J., 92a:90016 

Meester, R. W. J. see van den Berg, Jacob, 924:90027 

Mekenyan, O. see Bonchev, Danail; et al. 

Monma, Clyde L. see Bienstock, Daniel; et al., 92c:90048 

Montpetit, André Codes et partitions cohérentes dans les graphes réguliers. (English 
summary) [Codes and coherent partitions in regular graphs] 92b:94026 

Murakami, Atsushi (with Yamasaki, Maretsugu) Extremal problems with respect to ideal 
boundary components of an infinite network. II. 92j:90088 

Myrvold, Wendy (with Cheung, Kim H.; Page, Lavon B.; Perry, Jo Ellen) Uniformly most 








05C90 


reliable networks do not always exist. 92f:05065 

Naddef, Denis Handles and teeth in the symmetric traveling salesman polytope. 92a:90040 

Nemhauser, George L. (with Wolsey, Laurence A.) Integer programming. (see 92a:90001) 

Nikogosyan, Zh. G. see Indzheyan, S. G., 92c:90141 

Nouwh, J. see Boals, Alfred J., 92m:90016 

Obers, N. A. see Halpern, M. B., 92e:17031 

Page, Lavon B. see Myrvold, Wendy; et al., 92f:05065 

Peleg, David see Feige, Uriel; et al., 92i1:68014 

Perry, Jo Ellen see Myrvold, Wendy; et al., 92£:05065 

Peters, Joseph G. see Bermond, Jean-Claude; et al. 

Picardello, Massimo A. (with Woess, Wolfgang) Ends of infinite graphs, potential theory 
and electrical networks. 92a:31003 

Pospichal, Jiti see Kvasnitka, Viadimir, 92d:92037 and Balai, Vladimir; et al., 92m:92022 

Pulleyblank, William R. see Boyd, Sylvia C., 92b:90147 

Raghavan, Prabhakar see Feige, Uriel; et al., 92i:68014 

Renteria, Carlos (with Tapia-Recillas, Horacio) A class of binary codes associated with 
graphs. 92m:94015 

Ross, Keith W. see Chung, Shun-Ping, 92c:68010 

(Ruhe, Ginther) see Kuchta, Dorota, 92b:90220 

Sandholzer, W. see Burkard, Rainer E., 924:90052 

Schild, Goran The time travelling problem. 92f:05092 

Schrijver, Alexander The Klein bottle and multicommodity flows. 92b:90083 


— Applications of polyhedral combinatorics to multicommodity flows and compact surfaces. 


924:05057 

Soardi, Paolo M. (with Woess, Wolfgang) Uniqueness of currents in infinite resistive 
networks. 92b:94052 

Tapia-Recillas, Horacio see Renteria, Carlos, 92m:94015 

Thies, C. On the Piaget graph. 92b:92069 

Upfal, Eli see Feige, Uriel; et al., 921:68014 

Warin, B. see Bossut, F., 92m:68092 

Weber, Karl F. E. Probabilistische Analyse von Heuristiken der kombinatorischen 
Optimierung—ein Uberblick. (English summary) [Probabilistic analysis of heuristics of 
combinatorial optimization—a survey] 92b:90177 

Woess, Wolfgang see Picardello, Massimo A., 92a:31003 and Soardi, Paolo M., 92b:94052 

Wolsey, Laurence A. see Nemhauser, George L., (92a:90001) 

Wa, F. Y. Potts model and graph theory. (see 92¢:82004) 

Yamasaki, Maretsugu see Murakami, Atsushi, 92j:90088 

Zhang, Z.G. see Boisen, M. B., Jr.; et al., 92m:82142 


05C99 None of the above, but in this section 


Bandelt, Hans-Jiirgen (with van de Vel, M.) Superextensions and the depth of median 
graphs. 92m:05190 

Barefoot, Curtiss (with Harary, Frank; Jones, Kathryn F.) What is the difference between 
the domination and independent domination numbers of a cubic graph? 92f:05093 

Benadé, Gerhard (with Goddard, Wayne D.; McKee, Terry A.; Winter, Paul A.) On 
distances between isomorphism classes of graphs. (Czech summary) 92g:05173 

Boals, Alfred J. (with Nouh, J.) On edge traffic vectors. 92j:05173 

Bollobas, Béla (with Leader, Imre) Compressions and isoperimetric inequalities. 
92h:05133 

Capobianco, Michael F. What is a graph? Three possible answers. 92¢:05117 

Chartrand, Gary (with Johnson, Mark A.; Kubicki, Grzegorz; Oellermann, Ortrud R.) The 
theory and applications of greatest common subgraphs. 92i:05211 

Chen, Dong Ling see Zhang, Jian Xun; et al., 92f:05096 

Choudum, S. A. Graphic subsequences. 92j:05174 

Cocan, Alexandrina (with Cocan, Moise) The sample concept in the statistic study of 
graphs. II. (Romanian summary) 

Cocan, Moise see Cocan, Alexandrina 

Cockayne, E. J. Chessboard domination problems. 92f:05094 

Currie, James D. Which graphs allow infinite nonrepetitive walks? 92a:05124 

Dozio, Marziane (with Martelli, Mario; Rebaudo, Rina) Algebraic graphs and linear 
constraints. (Italian. English summary) 92h:05134 

Eppstein, David (with Feigenbaum, Joan; Li, Chung-Lun) Equipartitions of graphs. 
92k:05125 

Faudree, Ralph J. (with Gould, Ronald J.; Jacobson, Michael S.; Lesniak, Linda) On the 
ascending subgraph decomposition problem. 92m:05191 

Feigenbaum, Joan see Eppstein, David; et al., 92k:05125 

Goddard, Wayne D. (with Kleitman, Daniel J.; Sturtevant, Dean) Convergence of a 
transformation on a weighted graph. 92j:05175 

— see also Benadé, Gerhard; et al., 92g:05173 

Golovach, P. A. Node-search and search number of a combination of graphs. (Russian. 
English summary) 92i:05212 

Gould, Ronald J. see Faudree, Ralph J.; et al., 92m:05191 

Graovac, Ante (with Pisanski, Tomaz) On the Wiener index of a graph. 92i:05213 

Guan, Mei Gu Graph theory in China. 92e:05118 

Guichard, D. (with Piazza, B. L.; Stueckle, S. K.) On the vulnerability of permutation 
graphs of complete and complete bipartite graphs. 92g:05174 

Guo, Zhi Yi (with Li, Nian Zu) The m-clique polynomial and its application to chromatic 
polynomials. 92k:05126 

Halin, Rudolf On infinite elements of homomorphism bases and a related class of graphs. 
92m:05192 

Hamidoune, Yahya Ould On the numbers of independent k-sets in a claw free graph. 
92a:05125 

Harary, Frank see Barefoot, Curtiss; et al., 92f:05093 

Hoogeveen, Han see Sierksma, Gerard, 92m:05195 

Hsii, Li Hsing Generalized homomorphism graph functions. 92b:05073 

Jacobson, Michael S. see Faudree, Ralph J.; et al., 92m:05191 

Johnson, Mark A. see Chartrand, Gary; et al., 92i:05211 

Johnson, P. D., Jr. A graph parameter of Shields and Harary. 92j:05176 

Jones, Kathryn F. see Barefoot, Curtiss; et al., 92f:05093 


COMBINATORICS 


Kleitman, Daniel J. see Goddard, Wayne D.; et al., 92j:05175 

Koh, K. M. (with Poh, K.S.) On the sequence of closed-set lattices of a graph. 92¢:05119 

Kubicki, Grzegorz see Chartrand, Gary; et al., 92i:05211 

Labahn, Roger (with Warnke, I.) Quick gossiping by multi-telegraphs. 92i:05214 

Leader, Imre see Bollobas, Béla, 92h:05133 

Lesniak, Linda see Faudree, Ralph J.; et al., 92m:05191 

Li, Chuan Xiang Mappings of closed subgraphs in hierarchical structures. (Chinese) 
92f:05095 

Li, Chung-Lun see Eppstein, David; et al., 92k:05125 

Li, Nian Zu see Guo, Zhi Yi, 92k:05126 

La, Xiao Yun' A matching game. 92m:05193 

Luo, Chong Shu The theorems of decomposition and representation for fuzzy graphs. 
92c:05156 

Martelli, Mario see Dozio, Marziano; et al., 92h:05134 

Mcllwain, M. H. see Shier, Douglas R., 92h:05135 

McKee, Terry A. see Benadé, Gerhard; et al., 92g:05173 

Milner, Eric C. see Shelah, Saharon, 92g:05176 

Nash-Williams, C. St. J. A. Another proof of a theorem concerning detachments of graphs. 
92g:05175 

Nouh, J. see Boals, Alfred J., 92j:05173 

Oellermann, Ortrud R. see Chartrand, Gary; et al., 92i:05211 

Piazza, B. L. see Guichard, D.; et al., 92g:05174 

Pisanski, Tomaz see Graovac, Ante, 92i:05213 

Poh, K.S. see Koh, K. M., 92e:05119 

Polat, Norbert Topological aspects of infinite graphs. 92a:05126 

Quilliot, Alain Points fixes, rétractions sur des structures discrétes et applications. [Fixed 
points, retractions on discrete structures and applications] 92c:05157 

Randi¢, Milan A route to acyclic (matching) polynomial. 92j:05177 

Rao, P. R. On the isomorphisms of certain graph-valued functions. 92m:05194 

Rebaudo, Rina see Dozio, Marziano; et al., 92h:05134 

Shelah, Saharon (with Milner, Eric C.) Graphs with no unfriendly partitions. 92g:05176 

Shier, Douglas R. (with Mcliwain, M. H.) Inclusion-exclusion, cancellation, and consecu- 
tive sets. 92h:05135 

Sidorenko, A. F. Inequalities for functionals generated by bipartite graphs. (Russian) 
92h:05136 

Sierksma, Gerard (with Hoogeveen, Han) Seven criteria for integer sequences being 
graphic. 92m:05195 

Siiajové, Edita A note on vector representation of graphs. 92g:05177 

Stueckle, S. K. see Guichard, D.; et al., 92g:05174 

Sturtevant, Dean see Goddard, Wayne D.; et al., 92j:05175 

van de Vel, M. see Bandelt, Hans-Jiirgen, 92m:05190 

Warnke, I. see Labahn, Roger, 92i:05214 

Winter, Paul A. see Benadé, Gerhard; et al., 92g:05173 

Wa, Ju Lin Forest-inducing independence systems of graphs. (Chinese. English summary) 
92m:05196 

Yamashita, Hajime Structure analysis of fuzzy graph and its application. (Japanese. English 
summary) 

Yu, Xingxing On neighbourhood line graphs. 92i:05215 

Zhang, Jian Xun (with Zhang, Zhong Fu; Chen, Dong Ling) Edge-binding numbers of join 
graphs of some graphs. (Chinese. English summary) 92f:05096 

Zhang, Zhong Fu see Zhang, Jian Xun; et al., 92f:05096 

Zhou, San Ming Some interpolation problems for graphs. (Chinese. English summary) 
924d:05166 

Zhou, Wan Kun Basic properties of the bridge and a method for constructing it. (Chinese. 
English summary) 92c:05158 


Items with secondary classifications in 05C99 


Alpern, Steve Infiltration games on arbitrary graphs. 92m:90074 

Badenhorst, G. D. (with Sturm, Teo) An order- and graph-theoretical characterisation of 
weakly compact cardinals. 92f:03059 

Balasubramanian, Krishnan Comments on the characteristic polynomial of a graph. 
92b:92057 

Bienstock, Daniel Graph searching, path-width, tree-width and related problems (a survey). 
(see 92b:68017) 

Bijlsma, A. (with Bulterman, R. W.; Feijen, W. H. J.; Scholten, Carel S.; van der Woude, J. 
C.S.P.) The problem of the majority network. (see 92i:68005) 

Borgatti, Stephen P. see Freeman, Linton C.; et al., 92j:92025 

Brightwell, Graham R. Events correlated with respect to every subposet of a fixed poset. 
92¢:06007 


Bulterman, R. W. see Bijlsma, A.; et al., (92i:68005) 

Cameron, Peter J. Covers of graphs and EGQs. 92k:51009 

Chen, Dong Ling The binding number of multiple product graphs and its limit properties. 
(Chinese. English summary) 92j:05146 

Cohen, Arjeh M. Local recognition of graphs, buildings, and related geometries. 92a:51009 

Condon, Anne The complexity of stochastic games. 92k:90136 

Coullard, Collette R. (with del Greco, John G.; Wagner, Donald K.) Representations of 
bicircular matroids. 92i:05072 

Courcelle, Bruno The monadic second-order logic of graphs. IV. Definability properties of 
equational graphs. 92i:03045 

Czédli, G. On the word problem of lattices with the help of graphs. 92m:06018 

Diestel, Reinhard Decomposing infinite graphs. 92k:05003 

Eriksson, Kimmo Convergence of Mozes’s game of numbers. 92m:90073 

Euler, Reinhardt (with Mahjoub, A. R.) Balanced matrices and the set covering polytope. 
(Arabic summary) 92k:52017 

Feijen, W. H. J. see Bijlsma, A.; et al., (92i:68005) 

Féldes, Stéphane Subcubes of hypercubes: graphic aspects of Boolean algebra. 92j:06017 

Freeman, Linton C. (with Borgatti, Stephen P.; White, Douglas R.) Centrality in valued 
graphs: a measure of betweenness based on network flow. 92j:92025 

Gedeonova, Eva Constructions of S-lattices. 92g:06010 

Goldman, A. J. see Robinson, A. G., 92f:90089 and 92h:90165 








147 1992 


Gorbunov, K. Yu. Context-free deducibility of graphs that do not realize a planar lattice. 
(Russian) 924:05135 

Gradolato, Monique (with Pisanski, Tomaz) Combinatorial description of pseudosurfaces. 
(Italian summary) 

Graw, Bernd Decision problems and Coxeter groups. 92e:20021 

del Greco, John G. see Coullard, Collette R.; et al., 92i:05072 

Grétschel, Martin (with Wakabayashi, Y.) Composition of facets of the clique partitioning 
polytope. 92b:52020 

He, Wen Chen see He, Wen Jie; et al., 92m:92023 

He, Wen Jie (with He, Wen Chen; Xie, Su Ling) Algebraic expressions for Kekulé structure 
counts of nonbranched cata-condensed benzenoid. 92m:92023 

Imrich, Wilfried (with Pultr, Ale3) Classification of tensor products of sy 
92m:18006 

Komjath, Péter Third note on Hajnal-Maté graphs. 92a:04005 

Konig, Roman Uber freie partiell kommutative Monoide. [On free partially commutative 
monoids] (see 92d:05006) 

Lee, Sin-Min On hereditarily simple graph algebras. 92b:08005 

Mahjoub, A. R. see Euler, Reinhardt, 92k:52017 

Majcher, Zofia (with Ptonka, Jerzy) Connected partitions and cycle matroids of graphs. 
92m:05055 

McCammond, J. Gaps in categories. (see 92h:20004) 

Milner, Eric C. Ordered graphs without infinite paths. 92c:04004 

Pach, Janos (with Steiger, William; Szemerédi, Endre) An upper bound on the number of 
planar k-sets. 92k:52035 

Petrov, Nikolai Nikolaevich (with Ture, 1.) A pursuit problem on a graph. (Russian. English 
summary) 92g:90189 

Pirlot, Marc Synthetic description of a semiorder. 92b:06017 

Pisanski, Tomaz see Gradolato, Monique, 92m:57004 

Pionka, Jerzy see Majcher, Zofia, 92m:05055 

Pultr, Ale’ see Imrich, Wilfried, 92m:18006 

Robinson, A. G. (with Goldman, A. J.) On the set coincidence game. 92f:90089 

— (with Goldman, A. J.) On Ringeisen’s isolation game. II. 92h:90165 

Roszkowska, Barbara On some varieties of symmetric idempotent entropic groupoids. 
92a:20078 

Sabidussi, Gert Gleichungen fiir nichtassoziative Graphenprodukte. (English summary) 
[Equations for nonassociative graph products] 92c:08012 

— Dendroids, end-separators, and almost circuit-connected trees. 92c:05049 

Scherson, Isaac D. Orthogonal graphs and the analysis and construction of a class of 
multistage interconnection networks. 92g:68018 

Scholten, Carel S. see Bijlsma, A.; et al., (92i:68005) 

Seese, Detlef The structure of the models of decidable monadic theories of graphs. 
92j:03037 

Sizyi, S. V. Critical theories of some classes of graphs and unary algebras. (Russian) 
92£:03045 

Spencer, Joel H. Undecidable probabilities. 92d:03033 

Steiger, William see Pach, Janos; et al., 92k:52035 

Sturm, Teo see Badenhorst, G. D., 92f:03059 

Szemerédi, Endre see Pach, Janos; et al., 92k:52035 

Ture, I. see Petrov, Nikolai Nikolaevich, 92g:90189 

Wagner, Donald K. see Coullard, Collette R.; et al., 92i:05072 

Wakabayashi, Y. see Grétschel, Martin, 92b:52020 

Wang, Jian Fang see Zhang, Zhong Fu; et al., 92g:05070 

Wang, Shang Zhi Some condensations in posets and graphs and their applications. 
92:06005 

Wanke, Egon On the decidability of integer subgraph problems on context-free graph 
languages. (see 92g:68007) 

White, Douglas R. see Freeman, Linton C.; et al., 92j:92025 

van der Woude, J.C.S.P. see Bijlsma, A.; et al., (92i:68005) 

Xie, Su Ling see He, Wen Jie; et al., 92m:92023 

Xu, Shao Ji Relations between parameters of a graph. 92j:05161 

Zapatrin, R. R. Graph representation of finite ortholattices. 92d:06027 

Zhang, Zhong Fu (with Wang, Jian Fang) Point arboricity of graphs. (Chinese. English 
summary) 92g:05070 

Zhou, Hui Shan Multiplicativity. I. Variations, multiplicative graphs, and digraphs. 
92j:05087a 

— Multiplicativity. II. Nonmultiplicative digraphs and characterization of oriented paths. 
92j:05087b 

Zivaljevié, Bosko The structure of graphs all of whose Y-sections are internal sets. 
92j:03059 





ric graphs. 


05Dxx Extremal combinatorics 


05D05 Extremal set theory 


Alon, Noga (with Babai, Laszl6; Suzuki, Hiroshi) Multilinear polynomials and Frankl—Ray- 
Chaudhuri-Wilson type intersection theorems. 92k:05127 

Babai, Laszlé see Alon, Noga; et al., 92k:05127 

Erdés, Paul (with Hajnal, Andras; Tuza, Zsolt) Local constraints ensuring small represent- 
ing sets. 92k:05128 

Frankl, Peter Shadows and shifting. 92b:05074 

— (with Firedi, Zoltan) Beyond the Erdés-Ko-Rado theorem. 92a:05127 

— Multiply-intersecting families. 92g:05178 

Firedi, Zoltan see Frankl, Peter, 92a:05127 

Hajnal, Andrés see Erdés, Paul; et al., 92k:05128 

Horak, Peter Extending partial systems of distinct representatives. 92m:05197 

Katerinochkina, N. N. * O6 sKoHOMHOM peasIH3aljMH aITOpHTMOR NOHCKa MaKCHMAaJIBHOTO 
HYJA JHCKPCTHBIX MOHOTOHHEIX byHKuHA. (Russian) [Efficient realization of algorithms 
for searching for a maximal zero of discrete monotone functions] 92m:05198 


05D Extremal combinatorics 


05D10 


Katona, G.O. H. (with Schild, Géran) Linear inequalities describing the class of intersect- 
ing Sperner families of subsets. I. 92b:05075 

Kinch, Lael (with Lehel, Jend) The irregularity strength of tP;. 92i:05216 

Korner, Janos (with Simonyi, Gabor) A Sperner-type theorem and qualitative indepen- 
dence. 92m:05199 

Lefmann, Hanno Non-t-intersecting families of linear spaces over GF(q). 92c:05159 

Lehel, Jené see Kinch, Lael, 92i:05216 

Linial, Nathan (with Nisan, Noam) Approximate inclusion-exclusion. 924:05167 

Nisan, Noam see Linial, Nathan, 924:05167 

Rausche, A. On an inequality of Sperner. 92b:05076 

Schild, Géran see Katona, G. O. H., 92b:05075 

Simonyi, Gabor see Kérner, Janos, 92m:05199 

Suzuki, Hiroshi see Alon, Noga; et al., 92k:05127 

Torosyan, B. E. The number and cardinalities of components of solutions of a discrete 
isoperimetric problem in the Hamming lattice {0, 1}”. (Russian. Armenian summary) 
92h:05137 

Tuza, Zsolt see Erdés, Paul; et al., 92k:05128 


Items with secondary classifications in 05D05 

Bier, Thomas Totient numbers of an arithmetic progression in a hypercube: the case of step 
length 2. 92i:05227 

Cohen, Gérard Denis Applications of coding theory to communication combinatorial 
problems. (French summary) 92d:94001 

Erdés, Paul (with Tetali, Prasad) Representations of integers as the sum of k terms. 
92¢:11012 

Halperin, Dan (with Sharir, Micha) On disjoint concave chains in arrangements of 
(pseudo) lines. 92m:52029 

Sharir, Micha see Halperin, Dan, 92m:52029 

Simion, Rodica (with Ullman, Daniel) On the structure of the lattice of noncrossing 
Partitions. 92j:06003 

Sés, Vera T. An additive problem in different structures. 92k:11026 

Spencer, Joel H. The probabilistic lens: Sperner, Turan and Bregman revisited. 92i:05127 

Tetali, Prasad see Erdés, Paul, 92c:11012 

Ullman, Daniel see Simion, Rodica, 92j:06003 

West, Douglas B. The maximum number of winning 2-sets. 92i:05010 


05D10 Ramsey theory 


Alon, Noga (with Kleitman, Daniel J.; Lipton, Richard J.; Meshulam, Roy; Rabin, Michael 
O.; Spencer, Joel H.) Set systems with no union of cardinality 0 modulo m. 924:05168 

Arad, Zvi (with Ehrlich, Gideon; Kegel, Otto H.; Lennox, John C.) An application of 
Ramsey’s theory to partitions in groups. 1. 92b:05077 

Blass, Andreas (with Erdés, Paul; Taylor, Alan) Diverse homogeneous sets. 92j:05178 

Brown, Tom C. (with Rédl, Vojtéch) Monochromatic solutions to equations with unit 
fractions. 92d:05169 

Carlson, Timothy J. (with Simpson, Stephen G.) Topological Ramsey theory. (see 
924:05172) 

Ehrlich, Gideon see Arad, Zvi; et al., 92b:05077 

Erdés, Paul (with Galvin, Fred) Some Ramsey-type theorems. 92b:05078 

— see also Blass, Andreas; et al., 92j:05178 

Furstenberg, Hillel (with Katznelson, Yitzhak) Idempotents in compact semigroups and 
Ramsey theory. 924:05170 

— (with Katznelson, Yitzhak; Weiss, Benjamin) Ergodic theory and configurations in sets of 
positive density. (see 92d:05172) 

Galvin, Fred see Erdés, Paul, 92b:05078 

Graham, Ronald L. Topics in Euclidean Ramsey theory. (see 92d:05172) 

Katznelson, Yitzhak see Furstenberg, Hillel, 92d:05170 and (924:05172) 

Kegel, Otto H. see Arad, Zvi; et al., 92b:05077 

Kleitman, Daniel J. see Alon, Noga; et al., 924:05168 

Kriz, Igor (with Thomas, Robin) Ordinal types in Ramsey theory and well-partial-ordering 
theory. (see 92d:05172) 

Lefmann, Hanno Partitionsregulare Gleichungssysteme. [Partition-regular systems of 
equations] 92i:05217 

— On partition regular systems of equations. 92i:05218 

Lennox, John C. see Arad, Zvi; et al., 92b:05077 

Lipton, Richard J. see Alon, Noga; et al., 924:05168 

McColm, Gregory L. A Ramseyian theorem on products of trees. 92d:05171 

Meshulam, Roy see Alon, Noga; et al., 924:05168 

NeSettil, Jaroslav (with Rédl, Vojtéch) Introduction: Ramsey theory old and new. (see 
924:05172) 

— (with Rédl, Vojtéch) Partite construction and Ramsey space systems. (see 924:05172) 

— see also Mathematics of Ramsey theory, 924:05172 

Nilli, Alon Shelah’s proof of the Hales-Jewett theorem. (see 92d:05172) 

Prémel, Hans Jirgen (with Voigt, Bernd) Graham-Rothschild parameter sets. (see 
924:05172) 

— (with Voigt, Bernd) A sparse Gallai-Witt theorem. 92a:05128 

— (with Voigt, Bernd) Graham-Rothschild parameter words and measurable partitions. 
92e:05120 

Pudlak, Pavel Boolean complexity and Ramsey theorems. (see 92d:05172) 

Rabin, Michael O. see Alon, Noga; et al., 92d:05168 

Rado, Richard Note on canonical partitions. (see 92d:05172) 

Rédl, Vojtéch see Brown, Tom C., 92d:05169; NeSetfil, Jaroslav, (92d:05172); (92d:05172) 
and Mathematics of Ramsey theory, 92d:05172 

Simpson, Stephen G. see Carlson, Timothy J., (92d:05172) 

Spencer, Joel H. see Alon, Noga; et al., 92d:05168 

Taylor, Alan see Blass, Andreas; et al., 92j:05178 

Thomas, Robin see Kriz, Igor, (92d:05172) 

Voigt, Bernd see Prémel, Hans Jirgen, 92a:05128; 92e:05120 and (924:05172) 

Weiss, Benjamin see Furstenberg, Hillel; et al., (92d:05172) 

Weiss, William A. R. Partitioning topological spaces. (see 92d:05172) 





05D10 


Items listed otherwise than by author 
Mathematics of Ramsey theory * Mathematics of Ramsey theory. 92d:05172 


Items with secondary classifications in 05D10 

Alon, Noga (with Peres, Yuval) A note on Euclidean Ramsey theory and a construction of 
Bourgain. 92i:11012 

Coquand, Thierry A direct proof of the intuitionistic Ramsey theorem. (see 92g:68005) 

Erdés, Paul (with Faudree, Ralph J.; Rousseau, C. C.; Schelp, R. H.) Multipartite graph- 
tree Ramsey numbers. 92d:05107 

— Some problems and results on combinatorial number theory. 92g:11011 

— (with NeSetfil, Jaroslav; Rédl, Vojtéch) On Pisier type problems and results (combinato- 
rial applications to number theory). (see 92d:05172) 

Faudree, Ralph J. see Erdés, Paul; et al., 92d:05107 

Frankl, Peter (with Graham, Ronald L.; Rédl, Vojtéch) Quantitative Versionen von 
kombinatorischen Partitionssatzen. [Quantitative versions of combinatorial partition 
theorems] 92d:05011 

Graham, Ronald L. see Frankl, Peter; et al., 92d:05011 

Komjath, Péter (with Rédl, Vojtéch) Coloring of universal graphs. 92e:05078 

NeSettil, Jaroslav see Erdés, Paul; et al., (92d:05172) 

Paris, Jeff Combinatorial statements independent of arithmetic. (see 92d:05172) 

Peres, Yuval see Alon, Noga, 92i:11012 

Prémel, Hans Jiirgen (with Voigt, Bernd) Ramsey theory for the Cantor space. 92c:04005 

PuS, Viadimir Combinatorial properties of products of graphs. 92e:20048 

Rédl, Vojtéch see Frankl, Peter; et al., 92d:05011; Komjath, Péter, 92e:05078 and Erdés, 
Paul; et al., (92d:05172) 

Rousseau, C.C. see Erdés, Paul; et al., 92d:05107 

Schelp, R. H. see Erdés, Paul; et al., 92d:05107 

Schieber, Baruch (with Vishkin, Uzi) Finding all nearest neighbors for convex polygons in 
parallel: a new lower bound technique and a matching algorithm. 92c:68195 

Vishkin, Uzi see Schieber, Baruch, 92c:68195 

Voigt, Bernd see Prémel, Hans Jiirgen, 92c:04005 

Zindulka, Ondiej A note on the Ramsey-type theorem of Erdés. 92b:04002 


05D15 Transversal (matching) theory 

Caro, Yair (with Tuza, Zsolt) An application of set-pair systems for multitransversals. 
92b:05079 

Erdés, Paul (with Spencer, Joel H.) Lopsided Lovasz local lemma and Latin transversals. 
92c:05160 

Horak, Peter Transversals and matroids. 92a:05129 

— Common k-transversal of finite families. 92m:05200 


Hsueh, Yuang Cheh A unifying approach to the structures of the stable matching problems. 


92h:05138 

Kahn, Jeff (with Meshulam, Roy) On mod p transversals. 92k:05129 

Kuo, R. T. (with Tseng, S. S.) On the invariance of male optimal stable matching. 
92g:05179 

Meshulam, Roy see Kahn, Jeff, 92k:05129 

Pach, Janos (with Sauer, Norbert W.) On the average volume of subsets in Euclidean d- 
space. 92h:05139 

Sauer, Norbert W. (with Stone, M. G.) Composing functions to reduce image size. 
924:05173 

— see also Pach, Janos, 92h:05139 

Spencer, Joel H. see Erdés, Paul, 92c:05160 

Stone, M. G. see Sauer, Norbert W., 92d:05173 

Tseng, S.S. see Kuo, R. T., 92g:05179 

Tuza, Zsolt see Caro, Yair, 92b:05079 


Items with secondary classifications in 05D15 


Alon, Noga Transversal numbers of uniform hypergraphs. 92b:05061 
Bedford, David Transversals in the Cayley tables of the noncyclic groups of order 8. 
92m:05035 


Romano, Rosaria Transversals and blocking sets in decomposable Sp2(k — 1,k,v). 
92j:05044 

Tan, Jimmy J. M. A maximum stable matching for the roommates problem. 92f:68132 

de Werra, D. Packing independent sets and transversals. 92a:05057 

Zivaljevié, Bosko Hyperfinite transversal theory. 92£:03073 


05D99 None of the above, but in this section 


Alon, Noga A parallel algorithmic version of the local lemma. 92i:05220 
Beck, Jézsef An algorithmic approach to the Lovasz local lemma. I. 92i:05219 


Items with secondary classifications in 05D99 


Pirillo, Giuseppe Sur un théoréme combinatoire de Shirshov. (English summary) [On a 
combinatorial theorem of Shirshov] 92k:20108 

Zantema, H. Minimizing sums of addition chains. 92i:68064 

Ziegler, Ginter M. Posets with maximal Mobius function. 924:06013 


OSExx Algebraic combinatorics 


O0SEOS Symmetric functions 
Bergeron, Francois (with Yeh, Yeong Nan) The factoriality of the ring of S-species. 
92b:05080 


Désarménien, Jacques Une généralisation des formules de Gordon et de MacMahon. (En- 
glish summary) [A generalization of the Gordon and MacMahon formulas] 924:05174 
Omer (with Remmel, Jeffrey B.) Brick tabloids and the connection matrices 
between bases of symmetric functions. 92j:05179 


COMBINATORICS 1992 148 


Goulden, Ian P. (with Jackson, David M.) Immanants, Schur functions, and the MacMa- 
hon master theorem. 92i:05221 

Humphreys, J. F. On Schur’s Q-functions. 92i:05222 

Jackson, David M. see Goulden, Ian P., 92i:05221 

Jézefiak, Tadeusz Symmetric functions. (Polish) 92g:05180 

— (with Pragacz, Piotr) A determinantal formula for skew Q-functions. 924:05175 

Morris, Alun O. (with Sultana, N.) Hall-Littlewood polynomia!s at roots of 1 and modular 
representations of the symmetric group. 92d:05176 

Pragacz, Piotr see Jézefiak, Tadeusz, 92d:05175 

Remmel, Jeffrey B. (with Yang, Mei) Special rim hook tabloids and some new multiplicity- 
free S-series. 92a:05130 

— see also Egecioglu, Omer, 92):05179 

Reutenauer, Christophe Sur des fonctions symétriques reliées aux vecteurs de Witt. (English 
summary) [On symmetric functions related to Witt vectors] 92b:05081 

Sagan, Bruce E. (with Stanley, Richard P.) Robinson-Schensted algorithms for skew 
tableaux. 92d:05177 

Stanley, Richard P. see Sagan, Bruce E., 92d:05177 

Sultana, N. see Morris, Alun O., 92d:05176 

Sun, Ming Bao A class of inequalities for symmetric functions and their applications. 
(Chinese. English summary) 924:05178 

Thibon, Jean-Yves Coproduits de fonctions symétriques. (English summary) [Coproducts 
of symmetric functions] 92b:05082 

— Hopf algebras of symmetric functions and tensor products of symmetric group represen- 
tations. 92m:05201 

Yang, Mei see Remmel, Jeffrey B., 92a:05130 

Yeh, Yeong Nan see Bergeron, Francois, 92b:05080 

Items with secondary classifications in 0SEO5S 

Chu, Wen Chang Dominance method for plane partitions. I. The Schur function and plane 
partitions. 92g:05016 

Damiani, E. (with D’Antona, O.; Naldi, G.) On the connection constants. 92i:05024 

D’Antona, O. see Damiani, E.; et al., 92i:05024 

Désarménien, Jacques (with Foata, Dominique) Statistiques d’ordre sur les permutations 
colorées. (English summary) [Order statistics on colored permutations] 92h:05005 

Foata, Dominique see Désarménien, Jacques, 92h:05005 

Hummel, J. A. Numerical solutions of the Schiffer equation. 92g:30029 

Jing, Nai Huan Vertex operators, symmetric functions, and the spin group T’,. 92e:17033 

Loeb, Daniel E. Sequences of symmetric functions of binomial type. 92e:05012 

— Series with general exponents. 92¢:05126 

Milne, S.C. A triple product identity for Schur functions. 92g:11021 

Naldi, G. see Damiani, E.; et al., 92i:05024 

Stephens, C. J. Symmetry in disguise. 92i:05014 

Thibon, Jean-Yves Fonctions symétriques et opérations d’Adams de l’anneau de Grothen- 
dieck d’un groupe symétrique. (English summary) [Symmetric functions and Adams op- 
erations on the Grothendieck ring of a symmetric group] 92h:20028 


05E10 Tableaux, representations of the symmetric group 
[see also 20C30] 


Abhyankar, Shreeram S. (with Kulkarni, Devadatta M.) Coinsertion and standard 
bitableaux. 924:05179 

— (with Joshi, Sanjeevani B.) Generalized roinsertive correspondence between multi- 
tableaux and multimonomials. 92m:05202 

Azenhas, Olga (with de Sa, Eduardo Marques) Matrix realizations of Littlewood- 
Richardson sequences. 92b:05083 

Chu, Wen Chang Dominance method for plane partitions. V. Enumeration of ladder 
tableaux. 92c:05161 

Clausen, Michael Multivariate polynomials, standard tableaux, and representations of 
symmetric groups. 92h:05140 

Joshi, Sanjeevani B. see Abhyankar, Shreeram S., 92m:05202 

Kerber, Adalbert * Algebraic combinatorics via finite group actions. 92k:05130 

Kirillov, A. A. On some properties of Robinson-Schensted correspondence. (see 92m:33002) 

Kulkarni, Devadatta M. see Abhyankar, Shreeram S., 92d:05179 

Lascoux, Alain Cyclic permutations on words, tableaux and harmonic polynomials. 
92m:05203 

Metropolis, N. (with Rota, Gian-Carlo; Stein, Joel A.) Theory of symmetry classes. 
92g:05181 

Reiner, Victor Quotients of Coxeter complexes and P-partitions. 92i:05223 

Remmel, Jeffrey B. A bijective proof of a factorization theorem for (k, /)-hook Schur 
functions. 92a:05131 

Rota, Gian-Carlo see Metropolis, N.; et al., 92g:05181 

de Sa, Eduardo Marques see Azenhas, Olga, 92b:05083 

Sagan, Bruce E. Log concave sequences of symmetric functions and analogs of the Jacobi- 
Trudi determinants. 92¢:05121 

Schlosser, Hartmut A closed formula for the rule of Littl d/Richardson with applica- 
tions in the theory of representations of gl(V) and the superalgebra pl(V). 92e:05122 

Stein, Joel A. see Metropolis, N.; et al., 92g:05181 

Stétzer, Friedrich Carl Identitaten fiir symmetrisierte Bideterminanten. [Identities for 
symmetrized bideterminants] 92k:05131 

Sturmfels, Bernd (with White, Neil L.) Stanley decompositions of the bracket ring. 
92j:05180 

Udpikar, Shrinivas G. On Hilbert polynomial of certain determinantal ideals. 92e:05123 

Van der Jeugt, Joris An algorithm for characters of Hecke algebras H,,(q) of type An-1. 
92i:05224 

Wachs, Michelle L. The major index polynomial for conjugacy classes of permutations. 
92k:05132 

White, Neil L. see Sturmfels, Bernd, 92j:05180 





Items with secondary classifications in 05E10 
Agacy, R.L. Application of Young tableaux to symmetries of spinors. 92j:81085 





149 1992 


Benkart, Georgia (with Stroomer, Jeffrey) Tableaux and insertion schemes for spinor 

representations of the orthogonal Lie algebra so(2r + 1,C). 92i:05225 
Christine A combinatorial proof of a refinement of the Andrews-Olsson 

partition identity. 92f:11135 

Chu, Wen Chang A dominance approach for plane partitions. 92g:05015 

— Dominance method for plane partitions. I. The Schur function and plane partitions. 
92g:05016 

Date, Etsuré (with Jimbo, Michio; Miwa, Tetsuji) Representations of U,(gl(n,C)) at g =0 
and the Robinson-Shensted [Schensted] correspondence. 92h:17012 

Désarménien, Jacques (with Foata, Dominique) Statistiques d’ordre sur les permutations 
colorées. (English summary) [Order statistics on colored permutations] 92h:05005 

Donkin, Stephen Representations of symplectic groups and the symplectic tableaux of R. C. 
King. 92g:20070 

Foata, Dominique see Désarménien, Jacques, 92h:05005 

Goulden, Ian P. (with Jackson, David M.) Immanants, Schur functions, and the MacMa- 
hon master theorem. 92i:05221 

Humphreys, J. F. On Schur’s Q-functions. 92i:05222 

Itzykson, Claude (with Zuber, J.-B.) Combinatorics of mapping class groups and matrix 
integration. 92h:57021 

Jackson, David M. see Goulden, Ian P., 92i:05221 

Jimbo, Michio see Date, Etsurd; et al., 92h:17012 

Jing, Nai Huan Vertex operators, symmetric functions, and the spin groupT’,. 92e:17033 

Jézefiak, Tadeusz (with Pragacz, Piotr) A determinantal formula for skew Q-functions. 
924:05175 

Miwa, Tetsuji see Date, Etsurd; et al., 92h:17012 

Morris, Alun O. (with Sultana, N.) Hall-Littlewood polynomials at roots of 1 and modular 
representations of the symmetric group. 92d:05176 

Okada, Soichi A Robinson-Schensted-type algorithm for SO(2n,C). 92k:05133 

Pragacz, Piotr see Jézefiak, Tadeusz, 92d:05175 

Sagan, Bruce E. (with Stanley, Richard P.) Robinson-Schensted algorithms for skew 
tableaux. 92d:05177 

Stanley, Richard P. Log-concave and unimodal sequences in algebra, combinatorics, and 
geometry. 92e:05124 

— see also Sagan, Bruce E., 92d:05177 

Stroomer, Jeffrey see Benkart, Georgia, 92i:05225 

Sultana, N. see Morris, Alun O., 92d:05176 

Thibon, Jean-Yves Hopf algebras of symmetric functions and tensor products of symmetric 
group representations. 92m:05201 

Zaber, J.-B. see Itzykson, Claude, 92h:57021 


05E15 Combinatorial problems concerning the classical groups 
[see also 22E45, 33C80] 


Bannai, Eiichi (with Song, Sung-Yell; Shen, Hao; Wei, Hong Zeng) Character tables 
of certain association schemes coming from finite unitary and symplectic groups. 
92m:05204 

Benkart, Georgia (with Stroomer, Jeffrey) Tableaux and insertion schemes for spinor 
representations of the orthogonal Lie algebra so(2r + 1,C). 92i:05225 

Brualdi, Richard A. (with Chavey, Keith L.) Elementary divisors and ranked posets with 
application to matrix compounds. 92i:05226 

Butler, Lynne M. Generalized flags in finite abelian p-groups. 92j:05181 

Chavey, Keith L. see Brualdi, Richard A., 92i:05226 

Deckhart, Robert W. The local Kostant-PBW ordering. 92g:05182 

Ekhad, Shalosh B. A one-line proof of the Habsieger-Zeilberger G2 constant term identity. 
92£:05097 

Fack, V. see Van der Jeugt, Joris, 92c:05162 

van Leeuwen, Marc A. A. The Robinson-Schensted and Schiitzenberger algorithms and 
interpretations. 92g:05183 

Okada, Soichi A Robinson-Schensted-type algorithm for SO(2n,C). 92k:05133 

Shen, Hao see Bannai, Eiichi; et al., 92m:05204 

Song, Sung-Yell see Bannai, Eiichi; et al., 92m:05204 

Stanley, Richard P. Log-concave and unimodal sequences in algebra, combinatorics, and 
geometry. 92e:05124 

Stroomer, Jeffrey see Benkart, Georgia, 92i:05225 

Teranishi, Yasuo Young diagrammatic methods in noncommutative invariant theory. 
92b:05084 

Van der Jeugt, Joris (with Fack, V.) The Pragacz identity and a new algorithm for 
Littlewood-Richardson coefficients. 92c:05162 

Wei, Hong Zeng see Bannai, Eiichi; et al., 92m:05204 

Items with secondary classifications in 05E15 

(Barnabei, Marilena) see Boffi, Giandomenico, 92m:20032 

Boffi, Giandomenico A remark on a paper by M. Barnabei and A. Brini: “The Littlewood- 
Richardson rule for co-Schur modules” [Adv. Math. 67 (1988), no. 2, 143-173; MR 
89h:20022]. 92m:20032 

(Brini, Andrea) see Boffi, Giandomenico, 92m:20032 

Donkin, Stephen Representations of symplectic groups and the symplectic tableaux of R. C. 
King. 92g:20070 

Huang, Rosa Q. (with Rota, Gian-Carlo; Stein, Joel A.) Supersymmetric bracket algebra 
and invariant theory. 92h:15017 

Littelmann, Peter Good filtrations, decomposition rules and standard monomial theory. 
92g:20067 

Rota, Gian-Carlo see Huang, Rosa Q.; et al., 92h:15017 

Stein, Joel A. see Huang, Rosa Q.; et al., 92h:15017 

Van den Bergh, Michel Explicit rational forms for the Poincaré series of the trace rings of 
generic matrices. 92h:16023 


05E20 Group actions on designs, geometries and codes 
Praeger, Cheryl E. Block-transitive designs and maximal subgroups of finite symmetric 


OSE Algebraic combinatorics 


groups. 92j:05182 


Items with secondary classifications in 05E20 

Spera, Antonino Giorgio On affine translation divisible designs. 92e:51008 

Stanley, Richard P. Some applications of algebra to combinatorics. 92i:06005 

Wille, Rudolf Symmetrie—Versuch einer Begriffsbestimmung. [Symmetry—attempt at a 
definition] 92b:51001 


0SE25 Group actions on posets and homology groups of posets 
[see also 06A09] 


Chan, Clara Plane trees and H-vectors of shellable cubical complexes. 92k:05134 
Méndez, M. (with Yang, JinGen) Mdbius species. 92j:05183 
Yang, Jin Gen see Méndez, M., 92j:05183 


Items with secondary classifications in 05E25 


Bouc, S. Projecteurs dans l’anneau de Burnside, projecteurs dans l’anneau de Green, et 
modules de Steinberg généralisés. [Projectors in the Burnside ring, projectors in the Green 
ring, and generalized Steinberg modules] 92k:20016 

Butler, Lynne M. Generalized flags in finite abelian p-groups. 92j:05181 

Droste, Manfred (with Macpherson, Dugald) On k-homogeneous posets and graphs. 
92¢:03049 

Hibi, Takayuki Quotient algebras of Stanley-Reisner rings and local cohomology. 
92e:13013 

Kurzweil, Hans A combinatorial technique for simplicial complexes and some applications 
to finite groups. 92e:57038 

Macpherson, Dugald see Droste, Manfred, 92e:03049 

Narushima, Hiroshi An algorithmic role of the face-posets of polyhedral complexes. 
92g:06007 

Shirayanagi, Kiyoshi A classification of finite-dimensional monomial algebras. 92b:16044 

Thévenaz, Jacques (with Webb, P. J.) Homotopy equivalence of posets with a group action. 
92k:20049 

Viennot, Gérard Xavier Heaps of pieces. I. Basic definitions and combinatorial lemmas. 
92j:05006 

Webb, P. J. see Thévenaz, Jacques, 92k:20049 


05E30 Association schemes, strongly regular graphs 


Bannai, Eiichi Orthogonal polynomials in coding theory and algebraic combinatorics. 
92c:05163 

— (with Song, Sung-Yell) The character table of the commutative association scheme 
coming from the action of GL(n, q) on nonincident point-hyperplane pairs. 92a:05132 

— (with Kwok, Wing Man; Song, Sung-Yell) Ennola type dualities in the character tables of 
some association schemes. 924:05180 

— Subschemes of some association schemes. 92m:05205 

Bauer, LuboS Cellular algebras and generalized coherent configurations. 92d:05181 

Bier, Thomas Totient numbers of an arithmetic progression in a hypercube: the case of step 
length 2. 92i:05227 

Coolsaet, K. (with Fack, V.) Classifying strongly regular graphs using lexical ordering of 
adjacency matrices. 92a:05133 

Fack, V. see Coolsaet, K., 92a:05133 

Faradzhev, I. A. (with Ivanov, Aleksandr Anatol’evich; Klin, M. Kh.) Galois correspon- 
dence between permutation groups and cellular rings (association schemes). 92d:05182 

Hemmeter, Joe (with Woldar, Andrew J.) Fusion schemes and partially balanced incom- 
plete block designs. 92d:05183 

Hughes, Daniel R. (with Singhi, N. M.) Partitions in matrices and graphs. 92k:05135 

Ivanov, Aleksandr Anatolevich (with Shpektorov, S. V.) A characterization of the 
association schemes of Hermitian forms. 92a:05134 

— see also Faradzhev, I. A.; et al., 92d:05182 

Klin, M. Kh. see Faradzhev, I. A.; et al., 92d:05182 

Kwok, Wing Man Character table of a controlling association scheme defined by the general 
orthogonal group O(3,q). 92j:05184 

— see also Bannai, Eiichi; et al., 92d:05180 

Leonard, Douglas A. Nonsymmetric, metric, cometric association schemes are self-dual. 
92¢:05164 

Montpetit, André Une généralisation d’un théoréme de Delsarte dans les graphes de 
Cayley. (English summary) [A generalization to Cayley graphs of a theorem of Delsarte} 
92m:05206 

Munemasa, Akihiro On nonsymmetric P- and Q-polynomial association schemes. 
92g:05184 

Schmitt, Eberhard On strongly regular graphs and configurations m3. 92j:05185 

Shpektorov, S. V. see Ivanov, Aleksandr Anatol’evich, 92a:05134 

Singhi, N. M. see Hughes, Daniel R., 92k:05135 

Song, Sung-Yell Commutative association schemes and related algebra. 92d:05184 

— see also Bannai, Eiichi, 92a:05132 and 924:05180 

Suzuki, Hiroshi Bounding the diameter of a distance regular graph by a function of ky. 
92m:05207 

Takahashi, Tomihiko Distance-regular digraphs of girth 6. 92m:05208 

Woldar, Andrew J. see Hemmeter, Joe, 924:05183 


Items with secondary classifications in 05E30 

Alavi, Yousef (with Chartrand, Gary; Lick, Don R.; Swart, Henda C.) Highly regular graphs. 
92:05068 

Bagchi, Bhaskar Corrigendum: “No extendable biplane of order nine” [J. Combin. Theory 
Ser. A 49 (1988), no. 1, 1-12; MR 89i:05043]. 92a:05020 

Bannai, Eiichi (with Song, Sung-Yell; Shen, Hao; Wei, Hong Zeng) Character tables 
of certain association schemes coming from finite unitary and symplectic groups. 
92m:05204 

Bhagwandas (with Sinha, Kishore; Kageyama, Sanpei) Constructions of PBIB designs 
based on nested group divisible association scheme. 92m:05016 








05E30 


Brouwer, A. E. Uniqueness and nonexistence of some graphs related to M22. 92e:05092 

Chartrand, Gary see Alavi, Yousef; et al., 92f:05068 

(Corneil, D.G.) see Seidel, J. J., 92m:01098 

Haemers, Willem H. (with Higman, D. G.; Hobart, S. A.) Strongly regular graphs induced 
by polarities of symmetric designs. 92i:05028 

de la Harpe, Pierre (with Jones, V. F.R.) Paires de sous-algébres semi-simples et graphes 
fortement réguliers. (English summary) [Pairs of semisimple subalgebras and strongly 
regular graphs] 92c:16004 

Higman, D. G. Computations related to coherent configurations. 92a:05032 

— see also Haemers, Willem H.; et al., 92i:05028 

Hobart, S. A. see Haemers, Willem H.; et al., 92i:05028 

Jones, V. F.R. see de la Harpe, Pierre, 92c:16004 

Kageyama, Sanpei see Bhagwandas; et al., 92m:05016 

Koyama, Toshiko On applications of the Bruck-Ryser-Chowla theorem. 92j:05018 

Lick, Don R. see Alavi, Yousef; et al., 92f:05068 

(Mathon, Rudolf A.) see Seidel, J. J., 92m:01098 

Michael, T.S. The decomposition of the complete graph into three isomorphic strongly 
regular graphs. 92j:05140 

Pawale, Rajendra M. (with Sane, Sharad S.) A short proof of a conjecture on quasi- 
symmetric 3-designs. 92m:05026 

Rifa iComa, Josep On a categorial isomorphism between a class of completely regular codes 
and a class of distance regular graphs. 92k:94028 

Sane, Sharad S. see Pawale, Rajendra M., 92m:05026 

Seidel, J. J. %* Geometry and combinatorics. 92m:01098 

Shen, Hao see Bannai, Eiichi; et al., 92m:05204 

Sinha, Kishore see Bhagwandas; et al., 92m:05016 

Song, Sung-Yell see Bannai, Eiichi; et al., 92m:05204 

Spence, Edward (40, 13, 4)-designs derived from strongly regular graphs. 92i:05039 

Swart, Henda C. see Alavi, Yousef; et al., 92f:05068 

Wei, Hong Zeng see Bannai, Eiichi; et al., 92m:05204 


Items listed otherwise than by author 
Bibliography: 

Seidel, Johan Jacob see Seidel, J. J., 92m:01098 
Biography: 

Seidel, Johan Jacob see Seidel, J. J., 92m:01098 


05E35 Orthogonal polynomials [see also 33C45, 33C50, 33D45] 


Bergeron, Francois Combinatoire des polynémes orthogonaux classiques: une approche 
unifiée. [Combinatorics of classical orthogonal polynomials: a unified approach] 
92e:05125 

Kerov, S. V. Hall-Littlewood functions and orthogonal polynomials. (Russian) 92f:05098 


Items with secondary classifications in 05E35 


Lassalle, Michel Polynémes de Laguerre généralisés. (English summary) [Generalized 
Laguerre polynomials] 92g:33018 


05E99 None of the above, but in this section 


Diekert, Volker Mobius functions and confluent semi-commutations (extended abstract). 
(see 92m:00061) 

Dress, Andreas W. M. (with Siebeneicher, Christian) A multinomial identity for Witt 
vectors. 92a:05135 

Leeb, Daniel E. Series with general exponents. 92¢:05126 

Schwab, Emil (with Schwab, Emil Daniel) * Eléments multiplicatifs d’une algebre 
incidente. (French) [Multiplicative elements of an incidence algebra] 

Schwab, Emil Daniel see Schwab, Emil 

Siebeneicher, Christian see Dress, Andreas W. M., 92a:05135 


Items with secondary classifications in 05E99 

Abello, James The weak Bruhat order of Ss consistent sets, and Catalan numbers. 
92c:90037 

Bjorner, Anders (with Wachs, Michelle L.) Permutation statistics and linear extensions of 
posets. 92m:06010 

Boffi, Giandomenico On some plethysms. 92k:20082 

Isbell, John Some inequalities in hom sets. 92k:18002 

King, Ronald Curtis (with Wybourne, Brian G.) Characters of Hecke algebras H,,(q) of type 
An- 1. 924:20011 

Ringel, Claus Michael Hall polynomials for the representation-finite hereditary algebras. 
92e:16010 

Sherman, Gary J. (with Tucker, Thomas J.; Walker, Mark E.) How Hamiltonian can a finite 
group be? 92£:20026 

Tucker, Thomas J. see Sherman, Gary J.; et al., 92f:20026 

Wachs, Michelle L. see Bjorner, Anders, 92m:06010 

Walker, Mark E. see Sherman, Gary J.; et al., 92f:20026 

Wybourne, Brian G. see King, Ronald Curtis, 92d:20011 


06-XX Order, lattices, ordered algebraic structures 
[see also 18B35] 


06-02 Research exposition (monographs, survey articles) 


COMBINATORICS 


Items with secondary classifications in 06-02 
(Bogart, Kenneth P.) see Dilworth, Robert Palmer, 92f:01002 
Dilworth, Robert Palmer * The Dilworth theorems. 92f:01002 
(Freese, Ralph S.) see Dilworth, Robert Palmer, 92f:01002 
(Kung, Joseph P.S.) see Dilworth, Robert Palmer, 92f:01002 


06-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 06-03 

(Boole, George) see Grattan-Guinness, Ivor, 92c:01022 

Grattan-Guinness, Ivor The correspondence between George Boole and Stanley Jevons, 
1863-1864. 92c:01022 

(Jevons, William Stanley) see Grattan-Guinness, Ivor, 92c:01022 


06-06 Proceedings, conferences, collections, etc. 
(Salii, V.N.) see Ordered sets and lattices, 92m:06001 


Items listed otherwise than by author 


Ordered sets and lattices * YnopsjoueHHbIe MHOXecTBa H pemeTKH. Bain. 10. (Russian) 
[Ordered sets and lattices. No. 10] 92m:06001 


Items with secondary classifications in 06-06 
(Bogart, Kenneth P.) see Dilworth, Robert Palmer, 92f:01002 
Dilworth, Robert Palmer * The Dilworth theorems. 92f:01002 
(Freese, Ralph S.) see Dilworth, Robert Palmer, 92f:01002 
(Kung, Joseph P.S.) see Dilworth, Robert Palmer, 92f:01002 


06Axx Ordered sets 


06A05 Total order 


Hagendorf, Jean Guillaume La reconstruction des chaines et des relations infinies. (English 
summary) [Reconstruction of infinite chains and relations] 92g:06001 
Jha, S.N. A characterisation of least upper bound in linearly ordered spaces. 92b:06001 


Items with secondary classifications in 06A05 

Abraham, Uri (with Bonnet, Robert) Every superatomic subalgebra of an interval algebra is 
embeddable in an ordinal algebra. 92i:06021 

Atkinson, M. D. On computing the number of linear extensions of a tree. 92a:68113 

Badenhorst, G. D. (with Sturm, Teo) An order- and graph-theoretical characterisation of 
weakly compact cardinals. 92f:03059 

Bonnet, Robert see Abraham, Uri, 92i:06021 

Gauthier, Henri Simplification pour les produits lexicographiques d’ordres totaux. 
[Simplication for lexicographic products of total orderings] 92b:03046 

Macpherson, Dugald (with Mekler, Alan H.; Shelah, Saharon) The number of infinite 
substructures. 92a:03049 

Mekler, Alan H. see Macpherson, Dugald; et al., 92a:03049 

Morgan, John C., If On completeness. 92i:54030 

Nikiel, Jacek A general theorem on inverse systems and their limits. (Russian summary) 
92m:18002 

Peirone, Roberto Homomorphisms between complete chains and the independence of the 
axioms of limitoid. 92b:06015 

Shelah, Saharon see Macpherson, Dugald; et al., 92a:03049 

Sturm, Teo see Badenhorst, G. D., 92f:03059 


06A06 Partial order, general 


Abian, Alexander (with Martin, Andrew D.) Compact partially ordered sets. 92c:06001 

— (with Kemp, Paula A.) Total compactness of A-inductive partially ordered sets. 
92d:06001 

— see also Opoien, J. W., 92b:06004 

Al-Thukair, Fawzi A. (with Pelc, Andrzej; Rival, Ivan; Urrutia, Jorge) Motion planning, 
two-directional point representations, and ordered sets. 92f:06001 

Arpin, Peter (with Ginsburg, John) Binary trees and the n-cutset property. 92f:06002 

Beck, Istvan An inequality for partially ordered sets. 92a:06001 

Behrendt, Gerhard The cutset lattice of a partially ordered set. 92d:06002 

— Some sharply transitive partially ordered sets. 92k:06001 

— The lattice of antichain cutsets of a partially ordered set. 92d:06003 

— Partially ordered sets with self-complementary comparability graphs. 92d:06004 

Brochet, J.-M. Infinite ordered sets spanned by finitely many chains. 92h:06001 

Burosch, Gustav (with Franke, Ulrike; ROhl, Susanne) Uber Ordnungen von Binarworten. 
[On orders of binary words] 92g:06002 

Corominas, Ernest Sur les ensembles ordonnés projectifs et la propriété du point fixe. 
(English summary) [On projective ordered sets and the fixed-point property] 92b:06002 

Fofanova, T.S. The fixed-point property for partially ordered sets of width 2. (Russian) (see 
92m:06001) 

Franke, Ulrike see Burosch, Gustav; et al., 92g:06002 

Galvin, Fred (with Milner, Eric C.; Pouzet, Maurice) Cardinal representations for closures 
and preclosures. 92c:06002 

Ginsburg, John see Arpin, Peter, 92f:06002 

Godowski, Radostaw (with Navara, Mirko) Implicative and disjunctive orthomodular 
posets. 92d:06005 

— (with Traczyk, Tadeusz) Implicative orthoposets. 92m:06002 

Ho6ft, Hartmut (with H6ft, Margret) Fixed point free components in lexicographic sums 
with the fixed point property. 92m:06003 

Hoft, Margret see Héft, Hartmut, 92m:06003 





151 1992 


Isler, Romano On an interesting axiom in the theory of interval orders. (Italian. English 
summary) 92¢:06001 

Jakubik, Jan Self-duality of the system of intervals of a partially ordered set. 92d:06006 

— Correction to the paper: “Self-duality of the system of intervals of a partially ordered set” 
[Czechoslovak Math. J. 41(116) (1991), no. 1, 135-140; MR 92d:06006}. 

Juhdsz, I. (with Kunen, Kenneth) On o-centred posets. 924:06007 

Katrnoska, Frantisek Logics of idempotents of the rings. (see 92b:00045) 

Kemp, Paula A. see Abian, Alexander, 92d:06001 

Kirchheimové, Hana Some remarks on (0)-convergence. 92d:06008 

Kunen, Kenneth see Juhdsz, I., 92d:06007 

Larose, Benoit Finite projective ordered sets. 92i:06001 

Lé ba Long On a representation of observables in fuzzy quantum posets. (see 92b:00045) 

Lee, Jeh Gwon On the dimension of amalgamated ordered sets. 92m:06004 

Lengvarszky, Zsolt Linear extensions of partial orders preserving antimonotonicity. 
92g:06003 

Li, Bo Yu Some conditions to make every MC"(P) well-founded. 92¢:06002 

— All retraction operators on a lattice need not form a lattice. 92b:06003 

Lin, Ch’iang [2] x [3] x N is not acircle order. 92m:06005 

Ma, Tze Heng (with Spinrad, Jeremy P.) Transitive closure for restricted classes of partial 
orders. 92m:06006 

Machala, Frantisek Multiabbildungen und Anordnungen der Mengen. (Russian and Czech 
summaries) [Multimappings and orders of sets] 92m:06007 

Martin, Andrew D. see Abian, Alexander, 92c:06001 

Matthews, Peter C. Generating a random linear extension of a partial order. 92j:06001 

Milner, Eric C. Dilworth’s decomposition theorem in the infinite case. (see 92f:01002) 

— see also Galvin, Fred; et al., 92c:06002 

Navara, Mirko see Godowski, Radostaw, 92d:06005 

Nazarova, L. A. (with Roiter, A. V.) Representations of bi-involutive partially ordered sets. 
(Russian) 92m:06008 

Niederle, Josef Natural generalization of some lattice theory concepts to partially ordered 
sets. 92f:06003 

Opoien, J. W. (with Abian, Alexander) #-complete and D-generic filters of partially 
ordered sets. 92b:06004 

Pele, Andrzej see Al-Thukair, Fawzi A.; et al., 92f:06001 

Pickering, Douglas (with Roddy, Michael Stewart; Stadel, Joachim) The strong fixed point 
property for small sets. 92g:06004 

Pierce, R.S. (with Vinsonhaler, C. 1.) Realizable posets. 92g:06005 

Potepun, A. V. Inducing the interval topology in partially ordered sets from the completion 
by cuts. (Russian. English summary) 92¢:06003 

Pouzet, Maurice see Galvin, Fred; et al., 92c:06002 

Quackenbush, R. W. (with Rival, Ivan; Rosenberg, Ivo G.) Clones, order varieties, near 
unanimity functions and holes. 92f:06004 

Rhee, Min Surp A matrix representation of posets and its applications. 92a:06002 

Rival, Ivan Order, invariance and visibility. (see 92m:00061) 

— see also Al-Thukair, Fawzi A.; et al., 92f:06001 and Quackenbush, R. W.; et al., 92f:06004 

Roddy, Michael Stewart see Pickering, Douglas; et al., 92g:06004 

Rohl, Susanne see Burosch, Gustav; et al., 92g:06002 

Roiter, A. V. see Nazarova, L. A., 92m:06008 

Rosenberg, Ivo G. see Quackenbush, R. W.; et al., 92f:06004 

Sharary, Ahmad H. The jump number of Z-free ordered sets. 92j:06002 

Spinrad, Jeremy P. see Ma, Tze Heng, 92m:06006 

Stadel, Joachim see Pickering, Douglas; et al., 92¢:06004 

Szigeti, J. On the intersection of monotonicity preserving linear extensions. 92b:06005 

Tkadlec, Josef Set representations of orthoposets. 92e:06004 

— Partially additive states on orthomodular posets. 92¢:06005 

— A note on distributivity in orthoposets. 92i.06009 

Traczyk, Tadeusz see Godowski, Radostaw, 92m:06002 

Urrutia, Jorge see Al-Thukair, Fawzi A.; et al., 92f:06001 

Vinsonhaler, C.I. see Pierce, R. S., 92g:06005 

Wang, Shang Zhi Some condensations in posets and graphs and their applications. 
92:06005 

Zelinka, Bohdan Tolerances on poset algebras. 92k:06002 

Zitovié, Malia R. On some generalizations of ordering relations. 92b:06006 


Items with secondary classifications in 06A06 

Abello, James The weak Bruhat order of Ss consistent sets, and Catalan numbers. 
92¢:90037 

Atkinson, M. D. On computing the number of linear extensions of a tree. 92a:68113 

Baranga, Andrei The contraction principle as a particular case of Kleene’s fixed point 
theorem. 92j:54060 

Blyth, T.S. (with Varlet, J.C.) On the dual space of an MS-algebra. 92h:06009 

Brightwell, Graham R. (with Winkler, Peter M.) Sphere orders. 92b:52011 

Cazanescu, Virgil Emil Iterative systems of equations. 92¢:68111 

Changat, Manoj On order and geodesic alignment of a connected bigraph. 92h:05075 

Chovanec, Ferdinand Compatibility theorem for quasi-orthocomplemented posets. (see 
92b:00045) 

Conserva, Vincenzo Fixed points and partial orders. (French summary) (see 92b:00040) 

Czyzowicz, Jurek (with Pelc, Andrzej; Rival, Ivan) Unfolding weighted consensus orders 
into consistent numerical scales. 92d:90009 

Delgado Kloos, Carlos Behavior of asynchronous circuits: a new approach based on fixed- 
point semantics. (Spanish) (see 92g:00025) 

Demetrovics, Janos (with Rényai, Lajos) Generating sets for crowns and fences. 92a:08004 

Droste, Manfred (with Macpherson, Dugald) On k-homogeneous posets and graphs. 
92e:03049 

Dintsch, Ivo Small integral relation algebras generated by a partial order. 92m:03099 

(Dvuretenskij, Anatolij) see Proceedings: School on Measure Theory, 92b:00045 

Karzanov, A. V. (with Khachiyan, L.G.) On the conductance of order Markov chains. 
92m:52005 

Kehayopulu, Niovi On adjoining identity to semigroups, greatest element to ordered sets. 
92h:20091 


ORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES 


Khachiyan, L.G. see Karzanov, A. V., 92m:52005 

Kurepa, Djuro R. Fixpoint approach in mathematics. 92j:00005 

Ma, Tze Heng (with Spinrad, Jeremy P.) Cycle-free partial orders and chordal comparabil- 
ity graphs. 92i:05103 

Macpherson, Dugald see Droste, Manfred, 92e:03049 

Martinez-Legaz, Juan-Enrique (with Singer, van) Multi-order convexity. 92f:52003 

Martinén, Antonio Generating real maps on a biordered set. 92j:47030 

Mathias, Roy The equivalence of two partial orders on a convex cone of positive semidefin- 
ite matrices. 92i:15010 

Mayet-Ippolito, Arlette Generalized orthomodular posets. 92j:06011 

Morales, Pedro New results in noncommutative measure theory. (see 92b:00045) 

Parmenter, M. M. (with Schmerl, James H.; Spiegel, Eugene) Isomorphic incidence 
algebras. 92¢:03078 

Pelc, Andrzej see Czyzowicz, Jurek; et al., 92d:90009 

Proti¢, Petar V. Some congruences on a z-regular semigroup. (Serbo-Croatian summary) 
92e:20043 

(Pulmannovd, Sylvia) see Proceedings: School on Measure Theory, 92b:00045 

Puninskii, G. E. A finite system of axioms for the model companion of the theory of all 
multitrees. (Russian) 92h:03052 

Rival, Ivan see Czyzowicz, Jurek; et al., 92d:90009 

Rényai, Lajos see Demetrovics, Janos, 92a:08004 

Rousseau, George Exterior algebras and the quadratic reciprocity law. 92¢:11006 

Roy, Dev Kumar Effective extensions of partial orders. 92f:03048 

Scheepers, Marion A partition relation for partially ordered sets. 92f:04004 

Schmerl, James H. see Parmenter, M. M.; et al., 92e:03078 

Singer, Ivan see Martinez-Legaz, Juan-Enrique, 92f:52003 

Spiegel, Eugene see Parmenter, M. M.,; et al., 92e:03078 

Spinrad, Jeremy P. see Ma, Tze Heng, 92i:05103 

Stifter, Sabine The reduction ring property is hereditary. 92g:13032 

Stuart, Jeffrey L. The partial order graph for a ZME-matrix. 92b:15031 

Taskovi¢é, Milan R. Characterizations of complete lattices. 924:06016 

Varlet, J.C. see Blyth, T. S., 92h:06009 

Velitkovi¢é, Boban CCC posets of perfect trees. 92k:03023 

Winkler, Peter M. see Brightwell, Graham R., 92b:52011 


Items listed otherwise than by author 
Liptovsky Jan %* Proceedings of the Second Winter School on Measure Theory. 92b:00045 
Proceedings: 
School on Measure Theory * Proceedings of the Second Winter School on Measure 
Theory. 92b:00045 
School: 
Measure Theory * Proceedings of the Second Winter School on Measure Theory. 
92b:00045 


06A07 Combinatorics of partially ordered sets 


Albert, Michael H. (with Frieze, Alan M.) Occupancy problems and random algebras. 
92e:06006 

Alles, Peter (with NeSetfil, Jaroslav; Poljak, Svatopluk) Extendability, dimensions, and 
diagrams of cyclic orders. 92k:06003 

Bjérner, Anders (with Wachs, Michelle L.) Permutation statistics and linear extensions of 
posets. 92m:06010 

Bogart, Kenneth P. (with Greene, Curtis; Kung, Joseph P. S.) The impact of the chain 
decomposition theorem on classical combinatorics. (see 92f:01002) 

Brightwell, Graham R. Events correlated with respect to every subposet of a fixed poset. 
92¢e:06007 

Brochet, J.-M. (with Pouzet, Maurice) Two extremal problems in infinite ordered sets and 
graphs: infinite versions of Menger and Gallai-Milgram theorems for ordered sets and 
graphs. 92k:06004 

Culberson, Joseph C. (with Rawlins, Gregory J. E.) New results from an algorithm for 
counting posets. 92¢:06008 

Czyzowicz, Jurek (with Pelc, Andrzej; Rival, Ivan) Planar ordered sets of width two. 
92k:06005 

— (with Pelc, Andrzej; Rival, Ivan; Urrutia, Jorge) Crooked diagrams with few slopes. 
92i:06002 

Duffus, Dwight (with Sands, B.; Sauer, Norbert W.; Woodrow, Robert E.) Two-colouring all 
two-element maximal antichains. 92e:06009 

— (with Kierstead, H. A.; Trotter, W. T.) Fibres and ordered set coloring. 92¢:06010 

Erdés, Paul (with Kierstead, H. A.; Trotter, W. T.) The dimension of random ordered sets. 
92g:06006 

Fishburn, Peter C. A note on linear extensions and incomparable pairs. 92b:06007 

Frieze, Alan M. see Albert, Michael H., 92e:06006 

Greene, Curtis see Bogart, Kenneth P.; et al., (92f:01002) 

Griggs, Jerrold R. Iterated exponentials of two numbers. 92b:06008 

Habib, Michel (with Morvan, Michel; Pouzet, Maurice; Rampon, Jean-Xavier) Extensions 
intervallaires minimales. (English summary) [Minimal interval extensions] 92h:06002 

Hedetniemi, Stephen T. (with Laskar, R. C.) On irredundance, dimension, and rank of 
posets. 92e:06011 

Kan, I. D. Mobius functions of the union of partial orders. (Russian) 92i:06003 

Kézdy, André E. (with Markert, Matthew; West, Douglas B.) Wide posets with fixed height 
and cutset number. 92i:06004 

Kierstead, H. A. Effective versions of the chain decomposition theorem. (see 92:01002) 

— see also Duffus, Dwight; et al., 92e:06010 and Erdés, Paul; et al., 92g:06006 

Komlés, Janos A strange pigeonhole principle. 924:06009 

Kung, Joseph P.S. see Bogart, Kenneth P.; et al., (92f:01002) 

Laskar, R.C. see Hedetniemi, Stephen T., 92e:06011 

Lin, Ch’iang The dimension of the Cartesian product of posets. 92d4:06010 

Liu, Wei-Ping (with Rival, Ivan) Inversions, cuts, and orientations. 92b:06009 

— (with Rival, Ivan) Enumerating orientations of ordered sets. 92m:06011 





06A07 


Madej, Tom (with West, Douglas B.) The interval inclusion number of a partially ordered 
set. 92e:06012 

Markert, Matthew see Kézdy, André E.; et al., 92i:06004 

Morvan, Michel see Habib, Michel; et al., 92h:06002 

Narushima, Hiroshi An algorithmic role of the face-posets of polyhedral complexes. 
92g¢:06007 

NeSettfil, Jaroslav see Alles, Peter; et al., 92k:06003 

Pelc, Andrzej (with Rival, Ivan) Orders with level diagrams. 92c:06003 

— see also Czyzowicz, Jurek; et al., 92i:06002 and 92k:06005 

Poljak, Svatopluk see Alles, Peter; et al., 92k:06003 

Pouzet, Maurice see Habib, Michel; et al., 92h:06002 and Brochet, J.-M., 92k:06004 

Pretzel, Oliver (with Youngs, Dale) Balanced graphs and noncovering graphs. 92f:06006 

Pruesse, Gara (with Ruskey, Frank) Generating the linear extensions of certain posets by 
transpositions. 92d:06011 

Rampon, Jean-Xavier see Habib, Michel; et al., 92h:06002 

Rawlins, Gregory J. E. see Culberson, Joseph C., 92e:06008 

Rival, Ivan see Liu, Wei-Ping, 92b:06009; Pelc, Andrzej, 92c:06003; Czyzowicz, Jurek; et al., 
92i:06002; 92k:06005 and Liu, Wei-Ping, 92m:06011 

Ruskey, Frank see Pruesse, Gara, 92d:06011 

Sands, B. see Duffus, Dwight; et al., 92e:06009 

Sauer, Norbert W. see Duffus, Dwight; et al., 92e:06009 

Sharary, Ahmad H. (with Zaguia, Nejib) On minimizing jumps for ordered sets. 
92m:06012 

Shmatkov, V. D. Isomorphisms of incidence algebras. (Russian) 92d:06012 

Simion, Rodica (with Ullman, Daniel) On the structure of the lattice of noncrossing 
Partitions. 92j:06003 

Stanley, Richard P. Some applications of algebra to combinatorics. 92i:06005 

Steiner, George On counting constrained depth-first linear extensions of ordered sets. 
92h:06003 

Trotter, W.T. see Duffus, Dwight; et al., 92e:06010 and Erdés, Paul; et al., 92g:06006 

Ullman, Daniel see Simion, Rodica, 92j:06003 

Urrutia, Jorge see Czyzowicz, Jurek; et al., 92i:06002 

Wachs, Michelle L. see Bjérner, Anders, 92m:06010 

West, Douglas B. see Madej, Tom, 92¢:06012 and Kézdy, André E.; et al., 921:06004 

Winkler, Peter M. Random orders of dimension 2. 92f:06007 

Wiseman, James A. Extremal Hasse diagrams. 92i:06006 

Woodrow, Robert E. see Duffus, Dwight; et al., 92¢:06009 

Youngs, Dale see Pretzel, Oliver, 92f:06006 

Zaguia, Nejib see Sharary, Ahmad H., 92m:06012 

Ziegler, Ginter M. Posets with maximal Mobius function. 92d:06013 


Items with secondary classifications in 06A07 

Brightwell, Graham R. (with NeSetiil, Jaroslav) Reorientations of covering graphs. 
92c:05067 

Brualdi, Richard A. (with Chavey, Keith L.) Elementary divisors and ranked posets with 
application to matrix compounds. 92i:05226 

Burosch, Gustav (with Laborde, Jean-Marie) Aut G,,,, for the Hasse graph G,,,n of the 
subword poset B,,,, of an m-ary cyclic word of length n. 92b:05045 

Butler, Lynne M. Generalized flags in finite abelian p-groups. 92j:05181 

Chavey, Keith L. see Brualdi, Richard A., 92i:05226 

Currie, James D. (with Visentin, T. I.) The number of order-preserving maps of fences and 
crowns. 92k:05005 

Damiani, E. (with D’Antona, O.; Naldi,G.) On the connection constants. 92i:05024 

D’Antona, O. see Damiani, E.; et al., 92i:05024 

Deckhart, Robert W. The local Kostant-PBW ordering. 92g:05182 

Faigle, Ulrich (with Schrader, Rainer) A greedy reduction algorithm for setup optimiza- 
tion. 92j:90086 

Griggs, Jerrold R. The Sperner property in geometric and partition lattices. (see 92f:01002) 

Hibi, Takayuki Hilbert functions of Cohen-Macaulay integral domains and chain condi- 
tions of finite partially ordered sets. 92j:13017 

Laborde, Jean-Marie see Burosch, Gustav, 92b:05045 

Leclerc, Bruno Sur le nombre d’éléments des niveaux des produits de chaines et des treillis 
permutoédres. (English summary) [On the cardinalities of the levels of chain products 
and permutohedron lattices] 92c:05010 

Naldi, G. see Damiani, E.; et al., 921:05024 

Nelsen, Roger B. (with Schmidt, Harvey, Jr.) Chains in power sets. 92c:05001 

NeSettil, Jaroslav see Brightwell, Graham R., 92c:05067 

Portier, Frederick J. (with Vaughan, Theresa P.) Whitney numbers of the second kind for 
the star poset. 92c:05011 

Scheinerman, Edward R. A note on planar graphs and circle orders. 92k:05045 

Schmidt, Harvey, Jr. see Nelsen, Roger B., 92c:05001 

Schrader, Rainer see Faigle, Ulrich, 92j:90086 

Sidney, J. B. (with Sidney, S. J.; Warburton, Arthur Raymond) Average properties of two- 
dimensional partial orders. 92d:68092 

Sidney, S.J. see Sidney, J. B.; et al., 924:68092 

Spencer, Joel H. Nonconvergence in the theory of random orders. 92m:05175 

Stachowiak, Grzegorz Hamilton paths in graphs of linear extensions for unions of posets. 
92m:05134 

Vaughan, Theresa P. see Portier, Frederick J., 92c:05011 

Viennot, Gérard Xavier Heaps of pieces. I. Basic definitions and combinatorial lemmas. 
92j:05006 

Visentin, T.1I. see Currie, James D., 92k:05005 

Warburton, Arthur Raymond see Sidney, J. B.; et al., 92d:68092 

West, Douglas B. The maximum number of winning 2-sets. 92i:05010 

Zolotarev, A. P. Helly and Radon numbers in distributive lattices and in lattices with 
pseudocomplements. (Russian) 92c:06006 


06A08 Shellable posets, Cohen-Macaulay posets [see also 52B20] 


ORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES 


Items with secondary classifications in 06A08 

Burosch, Gustav (with Franke, Ulrike; R6hl, Susanne) Uber Ordnungen von Binarworten. 
[On orders of binary words] 92g:06002 

Chan, Clara Plane trees and H-vectors of shellable cubical complexes. 92k:05134 

Franke, Ulrike see Burosch, Gustav; et al., 92g:06002 

Lee, Carl W. Some recent results on convex polytopes. 92d:52024 

Rohl, Susanne see Burosch, Gustav; et al., 92g:06002 


06A12 Semilattices [see also 20M10] 


Bandelt, Hans-Jiirgen (with Meletiou, Gerasimos C.) An algebraic setting for near- 
unanimity consensus. 92¢:06013 

— (with Janowitz, Melvin F.; Meletiou, Gerasimos C.) n-median semilattices. 92h:06004 

Bouziad, A. Continuité d’une action d’un semilattis compact. [Continuity of an action of a 
compact semilattice] 92m:06013 

Chajda, Ivan Quasicomplemented semilattices. (Russian and Czech summaries) 92k:06006 

Comer, Stephen D. Weakly regular trees and their color algebras. 92b:06010 

Gierz, Gerhard (with Stralka, Albert) The Zariski topology and essential extensions of 
semilattices. 92b:06011 

Hawranek, Jacek (with Zygmunt, Jan) Comments on a question of Wolniewicz’s. 
92h:06005 

Janowitz, Melvin F. A converse to the Sholander embedding. 92a:06003 

— see also Bandelt, Hans-Jiirgen; et al., 92h:06004 

Jezek, Jaroslav Subdirectly irreducible semilattices with an automorphism. 92i:06007 

Knoebel, Arthur (with Romanowska, A. B.) Distributive multisemilattices. 92g:06008 

Meletiou, Gerasimos C. see Bandelt, Hans-Jiirgen, 92e:06013 and 92h:06004 

Nieminen, Juhani Prime ideals and pseudocomplements of atoms in finite lattices and 
semilattices. 92k:06007 

Patil, H. V. see Pawar, Y.S., 92d:06014 

Pawar, Y.S. (with Patil, H. V.) Extension filters in pseudocomplemented semilattices. 
92d:06014 

Rachimek, Jiti A characterization of o-distributive semilattices. 92¢:06014 

Romanowska, A. B. see Knoebel, Arthur, 92¢:06008 

Schmid, Jirg Amalgamation in pseudocomplemented semilattices. 92b:06012 

Stralka, Albert see Gierz, Gerhard, 92b:06011 

Tepavéevic, Andreja see USan, Janez, 92a:06004 

USan, Janez Some constructions of almost-lattices. (Russian) 92c:06004 

— (with Tepavéevic, Andreja) On a class of bisemilattices. (Serbo-Croatian summary) 
922:06004 

Zhitomirskii, G.I. Some classes of semilattices connected with topological spaces. (Russian) 
(see 92m:06001) 

Zygmunt, Jan see Hawranek, Jacek, 92h:06005 


Items with secondary classifications in 06A12 

Adams, M. E. (with Gould, Matthew) Finite semilattices whose monoids of endomor- 
phisms are regular. 92j:20062 

Agibalov, G. P. On the coding of semilattices and automata on semilattices. (Russian) 
92i:68108 

Dudek, Jézef (with Kisielewicz, Andrzej) Idempotent algebras with log-linear free spectra. 
92:08003 

Fleischer, Isidore A lattice-theoretic look at some ring theoretical radicals. 92f:16026 

Foster, Andrew Another semigroup of complexity n — 1. 92¢:20122 

Gould, Matthew see Adams, M. E., 92j:20062 

Jezek, Jaroslav (with Pudlak, Pavel; Tima, Jiti) On equational theories of semilattices with 
operators. 92d:06021 

Kisielewicz, Andrzej see Dudek, Jézef, 92f:08003 

Kuz'mina, T. M. Generalized semilattices and m-degrees of index sets. (Russian) 92b:03050 

Pionka, Jerzy The algebraic sum of a semilattice ordered system of relational systems. 
92m:08002 

Pudlak, Pavel see Jezek, Jaroslav; et al., 92d:06021 

Ramalho, Margarita On algebras with reduct in the variety of semilattices. (Portuguese. 
English summary) 92m:08006 

Ramana Murty, P. V. On algebras with pseudocompl tation. 92b:06033 

Romanowska, A. B. (with Smith, Jonathan D. H.) On the structure of semilattice sums. 
92b:08009 

Scheutzow, Michael K. R. Erratum: “Periods of nonexpansive operators on finite /,-spaces” 
[European J. Combin. 9 (1988), no. 1, 73-81; MR 89h:28029]. 92a:28013 

Smith, Jonathan D. H. see Romanowska, A. B., 92b:08009 

Thies, C. On the Piaget graph. 92b:92069 

Tima, Jiti see Jezek, Jaroslav; et al., 92d:06021 

Wesolowski, Tadeusz Subdirectly irreducible decomposition of some algebras having the 
semilattice structure. (Russian summary) 92c:08015 





06A15 Galois correspondences, closure operators 


Baulieu, Forrest B. Classification of normalized cluster methods in an order-theoretic 
model. 92d:06015 

Harbarth, Juliane A Galois correspondence between equivalence relations and unary 
operations. 92j:06004 

Herrlich, Horst (with HuSek, M.) Galois connections categorically. 92f:06008 

HuSek, M. see Herrlich, Horst, 92f:06008 

Jordens, Olav (with Sturm, Teo) Closure systems of equivalences with a local property. 
92¢:06015 

— (with Sturm, Teo) Equivalences with closed equivalence classes. 92¢:06016 

Martinez-Legaz, Juan-Enrique (with Singer, Ivan) V-dualities and 1-dualities. 92e:06017 

Popescu, Emil On Galois connexions. IV. (Romanian summary) 92k:06008 

Singer, Ivan see Martinez-Legaz, Juan-Enrique, 92¢:06017 

Sturm, Teo see Jordens, Olav, 92e:06015 and 92¢:06016 

Venugopalan, P. Extensions of Galois connections. 92b:06013 





153 1992 


Items with secondary classifications in 06A15 


Castellini, G. (with Strecker, G. E.) Global closure operators vs. subcategories. 92h:18001 

Climent, Joan B. (with Fernandino Larrinaga, Luis) On the relation between heterogeneous 
uniform 2-algebraic closure operators and heterogeneous algebras. 92d:08009 

Fernandino Larrinaga, Luis see Climent, Joan B., 92d:08009 

Galvin, Fred (with Milner, Eric C.; Pouzet, Maurice) Cardinal representations for closures 
and preclosures. 92¢:06002 

Langer, Helmut A lattice-theoretical description of phenotype systems. (see 92h:00022) 

Lenzi, Domenico On a particular connection between a closure system and an external 
operation defined on the same set. 92e:08001 

Milner, Eric C. see Galvin, Fred; et al., 92c:06002 

Pouzet, Maurice see Galvin, Fred; et al., 92c:06002 

Strecker, G. E. see Castellini, G., 92h:18001 

Swamy, U. M. (with Viswanadha Raju, D.) Algebraic fuzzy systems. 92c:04014 

Viswanadha Raju, D. see Swamy, U. M., 92c:04014 


06A23 Complete lattices, completions 


Bergman, George M. (with Zimmermann-Huisgen, Birge) Infinite joins that are finitely 
join-irreducible. 92b:06014 

Erné, Marcel Residuated completions of generalized semitopological semigroups. 
92a:06005 

— The Dedekind-MacNeille completion as a reflector. 92j:06005 

Freese, Ralph S. (with Gratzer, George; Schmidt, E. T.) On complete congruence lattices of 
complete modular lattices. 92k:06009 

Gierz, Gerhard The normal completion of the lattice of continuous functions. (see 
92:01002) 

Gritzer, George (with Lakser, H.; Wolk, Barry) On the lattice of complete congruences of a 
complete lattice: on a result of K. Reuter and R. Wille. 92i:06008 

— (with Lakser, H.) On congruence lattices of m-complete lattices. 92m:06014 

— see also Freese, Ralph S.; et al., 92k:06009 

(Griggs, Jerrold R.) see Perfect, Hazel 

(Grinstead, Charles M.) see Perfect, Hazel 

Hrbatek, Karel Continuous completions. 92g:06009 

Lakser, H. see Gratzer, George; et al., 92i:06008 and 92m:06014 

Li, Bo Yu All retraction operators on a complete lattice form a complete lattice. 92j:06006 

Lonc, Zbigniew Proof of a conjecture on partitions of a Boolean lattice. 92j:06007 

Peirone, Roberto Homomorphisms between complete chains and the independence of the 
axioms of limitoid. 92b:06015 

Perfect, Hazel Footnote to a paper of J. R. Griggs, R. K.-C. Yeh and C. M. Grinstead on: 
“Partitioning Boolean lattices into chains of subsets” [Order 4 (1987), no. 1, 65-67; MR 
89c:06006]. 

Schmidt, E. T. see Freese, Ralph S.; et al., 92k:06009 

Stern, Manfred On complements in lattices with covering properties. 92k:06010 

StraBburg, Andreas Optimale lineare Erweiterungen Boolescher Verbande. [Optimal linear 
extensions of Boolean lattices] 92j:06008 

Taskovi¢é, Milan R. Characterizations of complete lattices. 924:06016 

Tuzikov, A. V. see Zalesskii, P. A., (92m:68002) 

Wolk, Barry see Gratzer, George; et al., 92i1:06008 

(Yeh, Roger K.-C.) see Perfect, Hazel 

Zalesskii, P. A. (with Tuzikov, A. V.) Morphological filters and image symmetries. (see 
92m:68002) 

Zi Huisgen, Birge see Bergman, George M., 92b:06014 


Items with secondary classifications in 06A23 


Cerndk, Stefan On the completion of cyclically ordered groups. 92¢:06032 

Fleischer, Isidore A lattice-theoretic look at some ring theoretical radicals. 92f:16026 

Gritzer, George (with Lakser, H.) On complete congruence lattices of complete lattices. 
92e:06019 

Harding, John Orthomodular lattices whose MacNeille completions are not orthomodular. 
92k:06015 

Jakubik, Jan Completions and closures of cyclically ordered groups. 92¢:06033 

Jordens, Olay (with Sturm, Teo) Closure systems of equivalences with a local property. 
92¢:06015 

— (with Sturm, Teo) Equivalences with closed equivalence classes. 92¢:06016 

Kirchheimovaé, Hana Some remarks on (0)-convergence. 92d:06008 

Kulcsérova, Ofga A note on the extension of functionals. (Polish summary) 92k:28023 

Lakser, H. see Gratzer, George, 92¢:06019 

Macula, Anthony J. Free a-extensions of an Archimedean vector lattice and their topologi- 
cal duals. 92j:46009 

Martinez-Legaz, Juan-Enrique (with Singer, Ivan) V-dualities and 1-dualities. 92e:06017 

Muller, Robert see Zhou, Yu Li, 92e:68118 

Nishimura, Hirokazu On the absoluteness of types in Boolean valued lattices. 92f:03058 

Rietanova, Zdena On the MacNeille completion of (0)-continuous atomic logics. 92¢:06024 

— Applications of topological methods to the completion of atomic orthomodular lattices. 
92m:06020 

Ronse, C. Why mathematical morphology needs complete lattices. 92c:68201 

Singer, Ivan se? Martinez-Legaz, Juan-Enrique, 92¢:06017 

Sturm, Teo see Jordens, Olav, 92¢:06015 and 92¢:06016 

Zhou, Yu Li (with Muller, Robert) Domain theory for nonmonotonic functions. 92¢:68118 





06A99 None of the above, but in this section 


Avery, Peter An algorithmic proof that semiorders are representable. 92k:06011 

Busneag, Dumitru F -multipliers and the localization of Hilbert algebras. 92b:06016 

Evseev, E. A. Ordering of real functionals that are connected with transformations. 
(Russian) (see 91k:20006) 

Martinez-Legaz, Juan-Enrique (with Singer, van) Compatible preorders and linear 
operators on R". 92¢:06018 

Pirlot, Marc Synthetic description of a semiorder. 92b:06017 


06B Lattices 


06B10 


Singer, Ivan see Martinez-Legaz, Juan-Enrique, 92e:06018 
Zitovié, Maliga R. New generalizations of ordering relations. (Serbo-Croatian summary) 


Items with secondary classifications in 06A99 

Ahiswede, Rudolf (with Zhang, Zhen) Contributions to a theory of ordering for sequence 
spaces. (Russian summary) 92g:94008 

— (with Ye, Jian Ping; Zhang, Zhen) Creating order in sequence spaces with simple 
machines. 92g:94007 

Bayasgalan, B. Decidability of the @-V-theory of quasi-ordered sets. (Russian) 92f:03006 

Cattaneo, Gianpiero Quantum fuzzy-intuitionistic (Brouwer-Zadeh) posets. (see 92b:00045) 

De Cooman, Gert Evaluation sets: an order-theoretic approach to fuzzy set theory. 
92h:04003 

Easdown, David Biordered sets: a tool for constructing semigroups. 92k:20124 

Frith, J. L. The category of uniform frames. (French summary) 924:54032 

Iwitiski, Tadeusz B. Ordinal information systems. I. (Russian summary) 92a:68025 

Méndez, M. (with Yang, JinGen) Mobius species. 92j:05183 

Pinus, A. G. Rich countable epimorphism skeletons of discrimator varieties. (Russian) 
92d:08014 

Polonskii, Yu. A. Preference spaces. (Russian) 92h:49004 

Schwab, Emil (with Schwab, Emil Daniel) * Eléments multiplicatifs d’une algebre 
incidente. (French) [Multiplicative elements of an incidence algebra] 

Schwab, Emil Daniel see Schwab, Emil 

Stell, John G. Unique-sort order-sorted theories: a description as monad morphisms. (see 
92g:68076) 

Vakarelov, Dimit”r Modal characterization of the classes of finite and infinite quasi-ordered 
sets. 92g:03027 

Yang, Jin Gen see Méndez, M., 92j:05183 

Ye, Jian Ping see Ahiswede, Rudolf; et al., 92g:94007 

Zhang, Zhen see Ahiswede, Rudolf; et al., 92g:94007 and 92g:94008 


06Bxx Lattices [see also 03G10] 


Items with secondary classifications in 06Bxx 


Serra, Jean (with Vincent, Luc) An overview of morphological filtering. 92m:68127 
Vincent, Luc see Serra, Jean, 92m:68127 


06B05 Structure theory 


Al-Khouja, I. A. see Nakkar, H. M., 92j:06009 

Erné, Marcel Staircases and a congruence-theoretical characterization of vector spaces. 
92d:06017 

Farcas, Gh. Sur les treillis non-commutatifs de type (G). [Noncommutative lattices of type 
(G)} 

Fried, Ervin (with Gratzer, George) The unique amalgamation property for lattices. 
92m:06015 

Gedeonova, Eva Constructions of S-lattices. 92g:06010 

Gratzer, George see Fried, Ervin, 92m:06015 

Hamhalter, Jan A representation of finitely-modular AC-lattices. 92i:06009 

Janowitz, Melvin F. Regularity of residuated mappings. 92b:06018 

Kung, Joseph P.S. Dilworth’s proof of the embedding theorem. (see 92f:01002) 

Nakkar, H. M. (with Al-Khouja, I. A.) Locally Noetherian lattice modules. 92j:06009 

Richter, Gerd Abstract independence in lattices. 92d:06018 

Stern, Manfred Dually atomistic lattices. 92i:06010 

Xian, Qi You A class of lattices associated with trees. 92m:06016 


Items with secondary classifications in 06B05 


Adams, M. E. Uniquely complemented lattices. (see 92f:01002) 

Anderson, D. D. Dilworth’s early papers on residuated and multiplicative lattices. (see 
92f:01002) 

Li, Bo Yu All retraction operators on a lattice need not form a lattice. 92b:06003 

Omarov, Zh. A. On the intersection of noncharacterizable varieties of lattices. (Russian) 
92g:06012 

Walendziak, Andrzej The Kuros-Ore property, replaceable irredundant decompositions. 
92d:06022 


06B10 Ideals, congruence relations 


Duda, Jaromir Principal congruence relations and principal tolerances on varieties of 
lattices. (Russian summary) 92f:06009 

Gratzer, George On the congruence lattice of a lattice. (see 92:01002) 

— (with Lakser, H.) On complete congruence lattices of complete lattices. 92e:06019 

Jin, Li Kui On lattices whose congruences form completely Stonean lattices. (Chinese. 
English summary) 92¢:06020 

Lakser, H. see Gratzer, George, 92e:06019 

Langer, Helmut A lattice-theoretical description of phenotype systems. (see 92h:00022) 

Liu, Man On molecularly generated lattices. (Chinese. English summary) 92h:06006 

McNulty, George F. Lattice congruences and Dilworth’s decomposition of relatively 
complemented lattices. (see 92f:01002) 

SeSelja, Branimir (with Tepavéevié, Andreja) Special elements of the lattice and lattice 
identities. (Serbo-Croatian summary) 92m:06017 

Teo, S. K. Every finite lattice is a complete congruence lattice. 92j:06010 

Tepavéevi¢, Andreja see Seelja, Branimir, 92m:06017 


Items with secondary classifications in 06B10 


Adams, M. E. (with Beazer, R.) Congruence properties of distributive double p-algebras. 
92¢e:06026 

Al-Ezeh, H. On g-ideals of conormal lattices. 92g:06017 

Beazer, R. see Adams, M. E., 92e:06026 





06B10 


Blyth, T.S. (with Fang, Jie; Varlet, J.C.) Subdirectly irreducible Ockham algebras. 
92j:06014 

Fang, Jie see Blyth, T. S.; et al., 92j:06014 

Fleischer, Isidore A lattice-theoretic look at some ring theoretical radicals. 92f:16026 

Freese, Ralph S. (with Gratzer, George; Schmidt, E. T.) On complete congruence lattices of 
complete modular lattices. 92k:06009 

Fried, Ervin (with Gratzer, George) Generalized congruences and products of lattice 
varieties. 92d:06020 

Gratzer, George (with Wenzel, G. H.) Notes on tolerance relations of lattices. 92b:08003 

— (with Lakser, H.; Wolk, Barry) On the lattice of complete congruences of a complete 
lattice: on a result of K. Reuter and R. Wille. 92i:06008 

— see also Fried, Ervin, 924:06020 and Freese, Ralph S.; et al., 92k:06009 

Haviar, Miroslav (with Katrinak, Tibor) Semi-discrete lattices with (L,)-congruence 
lattices. 92k:06017 

Hou, Yao Ping Congruences on PM-algebras. (Chinese. English summary) 92m:06023 

Jakubik, Jan Mixed product decompositions of a directed group. 92e:06036 

Katriidk, Tibor see Haviar, Miroslav, 92k:06017 

Lakser, H. see Gratzer, George; et al., 92i:06008 

Petrich, Mario The congruence lattice of a Reilly semigroup. 92¢:20117 

Raftery, James G. (with Sturm, Teo) On the semiprime ideal lattice of a right invariant 
ring. 92g:16015 

Ramalho, Margarita On algebraic lattices and semisimple algebras. 92b:08006 

Schmidt, E.T. see Freese, Ralph S.; et al., 92k:06009 

SeSelja, Branimir (with Tepavéevié, Andreja) Weak congruences and homomorphisms. 
(Serbo-Croatian summary) 92m:08007 

Sturm, Teo see Raftery, James G., 92g:16015 

Tepavéevi¢é, Andreja see SeSelja, Branimir, 92m:08007 

Varlet, J.C. see Blyth, T. S.; et al., 92j:06014 

Wenzel, G. H. see Gratzer, George, 92b:08003 

Wolk, Barry see Gratzer, George; et al., 92i:06008 

Zhu, Pin Yu Finite nil semigroups and their lattices of congruences. (Chinese) 


06B15 Representation theory 


Duda, Jaromir Concept lattices unify the Birkhoff representation theorems. 92k:06012 

Duquenne, Vincent The core of finite lattices. 92g:06011 

Filipoiu, Alexandru Compact sheaves of lattices and normal lattices. 92b:06019 

Lengvarszky, Zsolt On +-bases in lattices of finite length. 92b:06020 

SeSelja, Branimir see Vojvodi¢, Gradimir, 924:06019 

Vojvodi¢é, Gradimir (with SeSelja, Branimir) The diagonal relation in the lattice of weak 
congruences and the representation of lattices. (Serbo-Croatian summary) 924:06019 

Walendziak, Andrzej Lattices with doubly replaceable decompositions. 92k:06013 


Items with secondary classifications in 06B15 

Belluce, L. P. (with Di Nola, Antonio; Sessa, Salvatore) Triangular norms, MV-algebras 
and bold fuzzy set theory. 92g:03088 

Di Nola, Antonio see Belluce, L. P.; et al., 92g:03088 

Herrmann, Christian (with Wild, Marcel) Acyclic modular lattices and their representa- 
tions. 92b:06026 

Ponomarev, V. A.! Lattices L(A¥). 92k:06014 

Sessa, Salvatore see Belluce, L. P.; et al., 92g:03088 

Walendziak, Andrzej L-restricted g-representations of algebras. 92m:08008 

Wild, Marcel see Herrmann, Christian, 92b:06026 


06B20 Varieties of lattices 


Fried, Ervin (with Gratzer, George) Generalized congruences and products of lattice 
varieties. 92d:06020 

Gratzer, George see Fried, Ervin, 92d:06020 

Jezek, Jaroslav (with Pudlak, Pavel; Tima, Jiti) On equational theories of semilattices with 
operators. 92d:06021 

Jénsson, Bjarni Amalgamation in small varieties of lattices. 92b:06021 

Kang, Young Yug Finitely based modular lattice varieties. 92c:06005 

Koubek, Vaclav Homomorphisms of (0, 1)-lattices with a given sublattice and quotient. 
92i:06011 

Lihova, Judita Varieties of directed multilattices. 92e:06021 

Nation, J. B. Ideal and filter constructions in lattice varieties. (see 92f:01002) 

Omarov, Zh. A. On the intersection of noncharacterizable varieties of lattices. (Russian) 
92g:06012 

Pudlak, Pavel see Jezek, Jaroslav; et al., 92d:06021 

Tama, Jifi see Jezek, Jaroslav; et al., 92d:06021 


Items with secondary classifications in 06B20 

Chajda, Ivan A principal congruence identity characterizing the variety of distributive 
lattices with zero. (Russian summary) 92b:08001 

Dnda, Jaromir Principal congruence relations and principal tolerances on varieties of 
lattices. (Russian summary) 92f:06009 

Wang, Ju A proof of the Baker conjecture. (Chinese) 92g:08009 


06B25 Free lattices, projective lattices, word problems 
[see also 03D40, 08A50, 20F10] 


Czédli, G. On the word problem of lattices with the help of graphs. 92m:06018 

Dudek, Jézef Dedekind’s numbers characterize distributive lattices. 92b:06022 

Nation, J. B. (with Schmerl, James H.) The order dimension of relatively free lattices. 
920:06023 

Schmerl, James H. see Nation, J. B., 92b:06023 

Vinokurov, S. F. Some endomorphisms of free iattices. (Russian) 92a:06006 


ORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES 


Items with secondary classifications in 06B25 

Luksch, Peter Distributive lattices freely generated by an ordered set of width two. 
92g:06013 

Wille, Rudolf The skeletons of free distributive lattices. 92g:06014 


06B30 Topological lattices, order topologies [see also 06F30, 
22A26, 54F05, 54H12] 


Erné, Marcel (with Kopperman, Ralph) Natural continuity space structures on dual 
Heyting algebras. 92b:06024 

— (with Vainio, R.) Connectivity in lattice-ordered spaces. 92h:06007 

Kopperman, Ralph see Erné, Marcel, 92b:06024 

Liang, Ji Hua Uniformities on completely distributive lattices. 92f:06010 

Liu, Ying Ming (with Luo, Mao Kang; Peng, Qian) Analytic and topological characteriza- 
tions of completely distributive law. 92¢:06022 

Luo, Mao Kang see Liu, Ying Ming; et al., 92e:06022 

Peng, Qian see Liu, Ying Ming; et al., 92¢:06022 

Vainio, R. see Erné, Marcel, 92h:06007 


Items with secondary classifications in 06B30 

Gierz, Gerhard (with Stralka, Albert) The Zariski topology and essential extensions of 
semilattices. 92b:06011 

— (with Stralka, Albert) Connected, full-valued distributive lattices of finite breadth. 
92k:06016 

Pulmannova, Sylvia see Rietanova, Zdena, 92d:06025 

Rietanova, Zdena (with Pulmannova, Sylvia) Logics with separating sets of measures. 
92d:06025 

Stralka, Albert see Gierz, Gerhard, 92b:06011 and 92k:06016 

Tembrowski, Bronistaw Quasi-topological Boolean algebras of reflexive and quasi- 
topological spaces. 92a:06013 

Xu, Xiao Quan Sheaf structures of N-compact sets and the fuzzy Wallace theorem. 
(Chinese) 92j:54010 


06B35 Continuous lattices, generalizations, applications 
[see also 06B30, 06D10, 06F30, 18B35, 22A26, 68Q55] 


Amadio, Roberto M. Bifinite domains: stable case. (see 92g:68005) 

Ehrhard, Thomas (with Malacaria, Pasquale) Stone duality for stable functions. (see 
92g:68005) 

Malacaria, Pasquale see Ehrhard, Thomas, (92g:68005) 


Items with secondary classifications in 06B35 

Abadi, Martin (with Pierce, Benjamin; Plotkin, Gordon) Faithful ideal models for 
recursive polymorphic types. 92h:68052 

Amadio, Roberto M. Typed equivalence, type assignment, and type containment. (see 
92g:68076) 

Banaschewski, B. (with Niefield, S. B.) Projective and supercoherent frames. 92b:06034 

Berardi, Stefano Retractions on d/-domains as a model for Type:Type. 92h:03018 

Buneman, Peter (with Jung, Achim; Ohori, Atsushi) Using powerdomains to generalize 
relational databases. 92m:68018 

Edalat, Abbas (with Smyth, Michael B.) Categories of information systems (extended 
abstract). (see 92g:68005) 

Erné, Marcel The Dedekind-MacNeille completion as a reflector. 92j:06005 

Gunter, Elsa L. Pseudo-retract functors for local lattices and bifinite L-domains. (see 
91e:68008) 

Hautamaki, Antti Partial information and finite approximation of truth. (Russian) 
92a:03040 

Hoofman, Raymond (with Schellinx, Harold) Collapsing graph models by preorders. (see 
92g:68005) 

Hrbdtek, Karel Continuous completions. 92g:06009 

Jung, Achim The dependent product construction in various categories of domains. 
92g:68091 

— see also Buneman, Peter; et al., 92m:68018 

Lawson, Jimmie D. (with Mislove, Michael W.) Problems in domain theory and topology. 
(see 92¢:54001) 

Meyer, J.-J. Ch. (with de Vink, E. P.) On relating denotational and operational semantics 
for programming languages with recursion and concurrency. (see 92c:54001) 

Mislove, Michael W. see Lawson, Jimmie D., (92c:54001) 

Niefield, S. B. see Banaschewski, B., 92b:06034 

Ohori, Atsushi see Buneman, Peter; et al., 92m:68018 

Papadopoulos, Basil K. On the Scott topology on the set C(Y, Z) of continuous maps. 
92¢:54016 

— Between Ro and R;. (Serbo-Croatian summary) 92j:54028 

Pierce, Benjamin see Abadi, Martin; et al., 92h:68052 

Plotkin, Gordon see Abadi, Martin; et al., 92h:68052 

Schellinx, Harold see Hoofman, Raymond, (92g:68005) 

(Shalak, V.1.) see Hautamaki, Antti, 92a:03040 

Smyth, Michael B. see Edalat, Abbas, (92g:68005) 

Taylor, Paul An algebraic approach to stable domains. 92c:18009 

Venugopalan, P. Extensions of Galois connections. 92b:06013 

de Vink, E. P. see Meyer, J.-J. Ch., (92c:54001) 

Zhang, Guo Qiang * Logic of domains. 92m:68075 


06B99 None of the above, but in this section 


Fu, Guo Yao A note on multistage synthetic evaluations. (Chinese. English summary) 

Li, Wen Yi Bilinear equations in a class of lattices. (Chinese. English summary) 92f:06011 

Mo, Zhi Wen Near-lattices and multiplicativity of auxiliary orders. (Chinese. English 
summary) 





155 1992 


Powers, Robert C. Induced residuated maps. 92i:06012 

Romanovich, V. A. Local dimension of an ordered lattice product. (Russian) (see 
92m:06001) 

Zolotarev, A. P. Helly and Radon numbers in distributive lattices and in lattices with 
pseudocomplements. (Russian) 92¢:06006 


Items with secondary classifications in 06B99 


Alfter, M. (with Kern, Walter; Wanka, A.) On adjoints and dual matroids. 92a:05033 

Ashley, Jonathan (with Griinbaum, Branko; Shephard, G. C.; Stromquist, Walter) Self- 
duality groups and ranks of self-dualities. 92f:51017 

Banaschewski, B. (with Pultr, Ales) Tarski’s fixpoint lemma and combinatorial games. 
92£:90090 

Dolan, L. (with Goddard, Peter; Montague, Paul Stewart) Twisted conformal field theory. 
(see 92m:81271) 

Foldes, Stéphane Subcubes of hypercubes: graphic aspects of Boolean algebra. 92j:06017 

Goddard, Peter see Dolan, L.; et al., (92m:81271) 

Grassi, Peter M. Measure characterizations and properties of normal and regular lattices. 
92j:28006 

Griinbaum, Branko see Ashley, Jonathan; et al., 92f:51017 

Hao, Cheng Gong Canonical form of strongly transitive matrices over lattices. 92m:04004 

Kern, Walter see Alfter, M.; et al., 92a:05033 

Koh, K. M. (with Poh, K. S.) On the sequence of closed-set lattices of a graph. 92e:05119 

Majcher, Zofia (with Plonka, Jerzy) Connected partitions and cycle matroids of graphs. 
92m:05055 

Montague, Paul Stewart see Dolan, L.; et al., (92m:81271) 

Pionka, Jerzy see Majcher, Zofia, 92m:05055 

Poh, K.S. see Koh, K. M., 92e:05119 

Pultr, Ale see Banaschewski, B., 92f:90090 

Rieder, J. The lattices of matroid bases and exact matroid bases. 92b:05021 

Sachwanowicz, Wojciech Boolean powers over incomplete Boolean algebras. 92b:03041 

Shephard, G. C. see Ashley, Jonathan; et al., 92f:51017 

Stromquist, Walter see Ashley, Jonathan; et al., 92f:51017 

Szeto, Mabel On separation of lattices. 92b:28015 

USan, Janez Some constructions of almost-lattices. (Russian) 92c:06004 

Viad, Carmen D. Semiseparation of lattices. 92c:28007 

— Remarks on semiseparation of lattices. 92b:28012 

Wanka, A. see Alfter, M.; et al., 92a:05033 


06Cxx Modular lattices, complemented lattices 


06CO05 Modular lattices, Desarguesian lattices 


Abdel-Hakim, M. see El-Assar, S., 92b:06025b 

Day, Alan (with Freese, Ralph S.) The role of gluing constructions in modular lattice 
theory. (see 92f:01002) 

El-Assar, S. Strong extensions of quasi-modular p-algebras. (Arabic summary) 92b:06025a 

— (with Abdel-Hakim, M.) Two notes on modular p-algebras. (Arabic summary) 
92b:06025b 

Freese, Ralph S. see Day, Alan, (92f:01002) 

Herrmann, Christian (with Wild, Marcel) Acyclic modular lattices and their representa- 
tions. 92b:06026 

Kung, Joseph P.S. Exchange properties for reduced decompositions in modular lattices. 
(see 92£:01002) 

Ponomarev, V. A.' Lattices L(A¥). 92k:06014 

Richter, Gerd Some remarks on modularity in prealgebraic and algebraic lattices. 92i:06013 

Rival, Ivan Dilworth’s covering theorem for modular lattices. (see 92f:01002) 

Walendziak, Andrzej Infinite 9-decompositions in modular lattices. 92a:06007 

Wild, Marcel see Herrmann, Christian, 92b:06026 


Items with secondary classifications in 06C05 

Freese, Ralph S. (with Gratzer, George; Schmidt, E. T.) On complete congruence lattices of 
complete modular lattices. 92k:06009 

Gratzer, George see Freese, Ralph S.; et al., 92k:06009 

Schmidt, E.T. see Freese, Ralph S.; et al., 92k:06009 

Schmidt, Stefan E. Projective spaces on partially ordered sets and Desargues’ postulate. 
92b:51003 

Wild, Marcel On the congruence problem in infinite-dimensional sesquilinear spaces. 
92m:15021 


06C10 Semimodular lattices, geometric lattices 


Faigle, Ulrich Dilworth’s completion, submodular functions, and combinatorial optimiza- 
tion. (see 92f:01002) 

Griggs, Jerrold R. The Sperner property in geometric and partition lattices. (see 92f:01002) 

Jénsson, Bjarni Dilworth’s work on decompositions in semimodular lattices. (see 
92f:01002) 

Kung, Joseph P.S. Dilworth truncations of geometric lattices. (see 92f:01002) 

Monjardet, Bernard The consequences of Dilworth’s work on lattices with unique 
irreducible decompositions. (see 92f:01002) 

Stern, Manfred The impact of Dilworth’s work on semimodular lattices on the Kurosch-Ore 
theorem. (see 92f:01002) 

— Characterizations of semimodularity. 92b:06027 

Walendziak, Andrzej The Kuro3-Ore property, replaceable irredundant decompositions. 
924:06022 


Items with secondary classifications in 06C10 


Bogart, Kenneth P. see Bonin, Joseph E., 92b:05019 
Bonin, Joseph E. (with Bogart, Kenneth P.) A geometric characterization of Dowling 
lattices. 92b:05019 


06C Modular lattices, complemented lattices 


Duquenne, Vincent The core of finite lattices. 92g:06011 

Kung, Joseph P.S. Dilworth’s proof of the embedding theorem. (see 92:01002) 

Richter, Gerd Abstract independence in lattices. 92d4:06018 

Stern, Manfred Dually atomistic lattices. 92i:06010 

Wanner, Thomas (with Ziegler, Ginter M.) Supersolvable and modularly complemented 
matroid extensions. 92i:05075 

Ziegler, Ginter M. Binary supersolvable matroids and modular constructions. 92b:05023 

— see also Wanner, Thomas, 92i:05075 


06C15 Complemented lattices, orthocomplemented lattices 


Adams, M. E. Uniquely complemented lattices. (see 92f:01002) 

Binder, Jiti (with Ptak, Pavel) A representation of orthomodular lattices. (Russian and 
Czech summaries) 92b:06028 

Bruns, Ginter (with Greechie, Richard; Herman, Louis) Orthomodular iattices containing 
MO2 asa subalgebra. 92b:06030 

— (with Greechie, Richard; Harding, John; Roddy, Michael Stewart) Completions of 
orthomodular lattices. 92b:06029 

Cattaneo, Gianpiero Quantum fuzzy-intuitionistic (Brouwer-Zadeh) posets. (see 92b:00045) 

Chevalier, G. The relative centre property in orthomodular lattices. (see 92b:00045) 

— Around the relative center property in orthomodular lattices. 92d:06023 

Chovanec, Ferdinand Compatibility theorem for quasi-orthocomplemented posets. (see 
92b:00045) 

Flachsmeyer, Jiirgen Neutral elements and the direct product representation of ortholat- 
tices. 92d:06024 

Greechie, Richard see Bruns, Ginter; et al., 92b:06029 and 92b:06030 

Harding, John Orthomodular lattices whose MacNeille completions are not orthomodular. 
92k:06015 

— see also Brans, Ginter; et al., 92b:06029 

Hedlikova, Jarmila (with Pulmannova, Sylvia) Orthogonality spaces and atomistic 
orthocomplemented lattices. 92a:06008 

Herman, Louis see Bruns, Ginter; et al., 92b:06030 

Kalmbach, Gudrun On orthomodular lattices. (see 92f:01002) 

Konépka, P. (with Pulmannova, Sylvia) On direct decompositions of certain orthomodular 
lattices. 92m:06019 

Mayet, R. Orthosymmetric ortholattices. 92¢:06023 

Mayet-Ippolito, Arlette Generalized orthomodular posets. 92j:06011 

Mikhaeel, N. N. Characterization of the partially special orthomodular lattices. 

Navara, Mirko (with Tkadlec, Josef) Automorphisms of concrete logics. 92f:06012 

— (with Rogalewicz, Vladimir) The pasting constructions for orthomodular posets. 
921:06014 

Piziak, Robert Orthomodular lattices and quadratic spaces: a survey. 92i:06015 

Ptak, Pavel see Binder, Jiti, 92b:06028 

Pulmannova, Sylvia (with Rietanova, Zdena) A remark to orthomodular lattices with 
almost orthogonal set of atoms. (see 92b:00045) 

— (with Rietanova, Zdena) Compact topological orthomodular lattices. 92i:06016 

— see also Hedlikova, Jarmila, 92a:06008; Rietanova, Zdena, 92d:06025 and Konépka, P., 
92m:06019 

Rietanova, Zdena On the MacNeille completion of (0)-continuous atomic logics. 92e:06024 

— Applications of topological methods to the completion of atomic orthomodular lattices. 
92m:06020 

— (with Pulmannova, Sylvia) Logics with separating sets of measures. 92d:06025 

— see also Pulmannova, Sylvia, 92i:06016 and (92b:00045) 

Roddy, Michael Stewart A modular ortholattice without the relative center property. (see 
92b:00045) 

— see also Bruns, Ginter; et al., 92b:06029 

Rogalewicz, Vladimir see Navara, Mirko, 92i:06014 

Roman, Leopoldo (with Rumbos, B.) A characterization of nuclei in orthomodular and 
quantic lattices. 92f:06013 

Rumbos, B. see Roman, Leopoldo, 92f:06013 

Saarimaki, Mikko (with Sorjonen, Pekka) On Banaschewski functions in lattices. 
922:06009 

Sorjonen, Pekka see Saarimaki, Mikko, 92a:06009 

Stern, Manfred Complements in certain algebraic lattices. 92d:06026 

Tkadlec, Josef see Navara, Mirko, 92f:06012 

Trnkova, Véra Automorphisms of orthomodular lattices and symmetries of quantum logics. 
92¢e:06025 

Zapatrin, R. R. Graph representation of finite ortholattices. 92d:06027 


Items with secondary classifications in 06C15 

D’Andrea, Anna Bruna (with De Lucia, Paolo; Morales, Pedro) The Lebesgue decom- 
position theorem and the Nikodym convergence theorem on an orthomodular poset. 
92k:28021 

De Lucia, Paolo see D’Andrea, Anna Bruna; et al., 92k:28021 

Diintsch, Ivo see Rao, K. P.S. Bhaskara 

Dvuretenskij, Anatolij A state criterion of the completeness for inner product spaces. 
92a:46024a 

— (with Képka, Frantisek) On representation theorems for observables in weakly 
complemented posets. 92i:03068 

— see also Pulmannova, Sylvia, 92j:81017 

Giuntini, Roberto A semantical investigation on Brouwer-Zadeh logic. 92j:03057 

Godowski, Radoslaw (with Navara, Mirko) Implicative and disjunctive orthomodular 
posets. 924:06005 

Ivanov, Al. Orthomodularity, compatibility and commutativity in physical theories. 
92h:81021 

Janis, Viadimir Notes on sums of Boolean algebras and logics. 92g:03086 

Katrno3ka, Frantisek Logics of idempotents of the rings. (see 92b:00045) 

Khatcherian, G. Projectales. 92m:06022 

Képka, Frantisek see Dvuretenskij, Anatolij, 92i1:03068 

Lé ba Long On a representation of observables in fuzzy quantum posets. (see 92b:00045) 





06C15 


Morales, Pedro see D’Andrea, Anna Bruna; et al., 92k:28021 

Navara, Mirko Quantum logics with given automorphism groups, centres and state spaces. 
(see 92b:00045) 

— (with Riittimann, G. T.) A characterization of o-state spaces of orthomodular lattices. 
92k:03030 

— see also Godowski, Radostaw, 92d:06005 

Pulmannova, Sylvia Sum logics and Hilbert space. 92:03070 

— (with Dvureéenskij, Anatolij) On the homomorphisms of sum logics. (French summary) 
92j:81017 

Pykacz, Jarostaw (with Santos, Emilio) Hidden variables in quantum logic approach 
reexamined. 92a:81012 

Rao, K. P.S. Bhaskara (with Diintsch, Ivo) Complementation in the lattice of regular 
topologies. 

Rogalewicz, Viadimir On generating and concreteness in quantum logics. 92m:03098 

Roman, Leopoldo (with Rumbos, B.) Quantum logic revisited. 92i:03070 

Rumbos, B. see Roman, Leopoldo, 92i:03070 

Riittimann, G. T. see Navara, Mirko, 92k:03030 

Santos, Emilio see Pykacz, Jarostaw, 92a:81012 

Schindler, Christian Quantum logics with the existence property. 92i:81026 

SeSelja, Branimir The fuzzy power of algebras. (Serbo-Croatian summary) 92b:04005 

Tkadlec, Josef Set representations of orthoposets. 92¢:06004 

— Partially additive states on orthomodular posets. 92e:06005 

— Vector states on orthoposets and extremality. 92g:81017 


06C99 None of the above, but in this section 


Items with secondary classifications in 06C99 
Kang, Young Yug Finitely based modular lattice varieties. 92c:06005 


06Dxx Distributive lattices 


Items with secondary classifications in 06Dxx 


Torrens Torrell, Antoni Boolean products of CW-algebras and pseudo-complementation. 
92a:03078 


06D05 Structure and representation theory 


Cignoli, Roberto Quantifiers on distributive lattices. 92i:06017 

Erné, Marcel Distributors and Wallmanufacture. 92b:06031 

Gierz, Gerhard (with Hergert, Ferdinand) The bandwidth problem for distributive lattices 
of breadth 3. 92i:06018 

— (with Stralka, Albert) Connected, full-valued distributive lattices of finite breadth. 
92k:06016 

Hergert, Ferdinand see Gierz, Gerhard, 92i:06018 

Luksch, Peter Distributive lattices freely generated by an ordered set of width two. 
92g:06013 

Pérez Esteban, Dionisio The ring of a lattice. (Spanish) (see 92g:00024) 

Stralka, Albert see Gierz, Gerhard, 92k:06016 

Wille, Rudolf The skeletons of free distributive lattices. 92g:06014 


Items with secondary classifications in 06D05 


Behrendt, Gerhard The lattice of antichain cutsets of a partially ordered set. 92d:06003 

Blyth, T.S. (with Hansoul, G.; Varlet, J.C.) The dual space of a double MS-algebra. 
92a:06011 

Chajda, Ivan A principal congruence identity characterizing the variety of distributive 
lattices with zero. (Russian summary) 92b:08001 

Chromik, Wiestawa (with Halkowska, Katarzyna) Subvarieties of the variety defined by 
externally compatible identities of distributive lattices. 92j:08010 

Dudek, Jozef Dedekind’s numbers characterize distributive lattices. 92b:06022 

Gratzer, George On the congruence lattice of a lattice. (see 92f:01002) 

Hatkowska, Katarzyna see Chromik, Wiesiawa, 92j:08010 

Hansoul, G. Congruence-distributive Heyting spaces. 92c:06007 

— see also Blyth, T. S.; et al., 92a:06011 

Martinez, N. G. The Priestley duality for Wajsberg algebras. 92a:06012 

Monjardet, Bernard The consequences of Dilworth’s work on lattices with unique 
irreducible decompositions. (see 92f:01002) 

Ramalho, Margarita Boolean algebras and distributive lattices in universal algebra. 
(Portuguese) (see 92g:00023) 

Varlet, J.C. see Blyth, T. S.; et al., 92a:06011 

Wesolowski, Tadeusz Subdirectly irreducible decomposition of some algebras having the 
semilattice structure. (Russian summary) 92c:08015 

Zhang, Kun Long Solutions to matrix equations AX = B in a distributive lattice L. 
(Chinese. English summary) 

Zhao, Cui Kui Invertibility conditions for matrices over distributive lattices. (Chinese. 
English summary) 92i:15006 


06D10 Complete distributivity 


Bai, Shi Zhong Semiregular semi-open and regular semi-open elements in topological 
molecular lattices. (Chinese. English summary) 

Chen, Xiang Dong On the category of strong frames. 92h:06008 

He, Bo Yong Upper-class spaces of topological molecular lattices. (Chinese) 

Lubczonok, Pawel Another look at order-homomorphisms on fuzzes. 92m:06021 

Mo, Zhi Wen Syntopogenous structures on completely distributive lattices. (Chinese. 
English summary) 

Rosebrugh, Robert (with Wood, R. J.) Constructive complete distributivity. II. 92j:06012 

Shi, Fu Gui The algebraic structure of canonical completely distributive lattices. (Chinese. 
English summary) 


ORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES 


Wood, R. J. see Rosebrugh, Robert, 92j:06012 

Xu, Xiao Quan Products and coproducts in category of completely distributive lattices and 
their structures. 92g:06015 

— Two characterization theorems for completely distributive lattices. (Chinese. English 
summary) 

Zheng, Ya Lin Remote neighborhood molecular lattices. (Chinese. English summary) 
92a:06010 


Items with secondary classifications in 06D10 

Cui, Hong Bin see Yang, Le Cheng; et al. 

Deng, Zi Ke De Morgan algebra of topology. I. (Chinese summary) 

Hopenwasser, Alan Complete distributivity. 92a:47052 

Liang, Ji Hua Uniformities on completely distributive lattices. 92f:06010 

Liu, Ying Ming (with Luo, Mao Kang; Peng, Qian) Analytic and topological characteriza- 
tions of completely distributive law. 92e:06022 

— (with Luo, Mao Kang) Lattice-valued mappings, completely distributive law and induced 
spaces. 92:54004 

Luo, Mao Kang see Liu, Ying Ming; et al., 92e:06022 and 92£:54004 

Peng, Qian see Liu, Ying Ming; et al., 92e:06022 

Schlitt, Greg M. The Lindeléf Tychonoff theorem and choice principles. 92b:03056 

Smarda, Bohumil Completely normal locales. 92k:18005 

Yang, Le Cheng (with Cui, Hong Bin; Zheng, Chong You) Structures of support-preserving 
fuzzy order homomorphisms. 

Zheng, Chong You see Yang, Le Cheng; et al. 


06D15 Pseudocomplemented lattices 


Adams, M. E. (with Beazer, R.) Congruence properties of distributive double p-algebras. 
92¢:06026 

— (with Beazer, R.) Double p-algebras with Stone congruence lattices. 92i:06019 

Atallah, Mikhail J. see El-Assar, S., 92b:06032 

Beazer, R. see Adams, M. E., 92¢:06026 and 92i:06019 

El-Assar, S. (with Atallah, Mikhail J.) Completeness of distributive p-algebras. (Arabic 
summary) 92b:06032 

Haviar, Miroslav (with Katrinak, Tibor) Semi-discrete lattices with (L,)-congruence 
lattices. 92k:06017 

Katriiak, Tibor (with Sevéovit, Daniel) Projective p-algebras. 92e:06027 

— see also Haviar, Miroslav, 92k:06017 

Lu, K. V. Modules over Stone algebras. 92j:06013 

Ramana Murty, P. V. On algebras with pseudocompl ion. 92b:06033 

Sevéovié, Daniel see Katriiak, Tibor, 92¢:06027 

Vaz de Carvalho, Julia Principal congruences in double Stone algebras. (Portuguese. English 
summary) (see 92m:00048) 





Items with secondary classifications in 06D15 

Erné, Marcel (with Kopperman, Ralph) Natural continuity space structures on dual 
Heyting algebras. 92b:06024 

Kopperman, Ralph see Erné, Marcel, 92b:06024 

Koubek, Vaclav (with Sichler, J.) Categorical universality of regular double p-algebras. 
92c:08017 

Nieminen, Juhani Prime ideals and pseudocomplements of atoms in finite lattices and 
semilattices. 92k:06007 

Schmid, Jirg Amalgamation in pseudocomplemented semilattices. 92b:06012 

Sichler, J. see Koubek, Vaclav, 92c:08017 


06D20 Heyting algebras [see also 03Gxx] 


Hansoul, G. Congruence-distributive Heyting spaces. 92c:06007 
Johnstone, Peter T. Two notes on nuclei. 92d:06028 
Khatcherian, G. Projectales. 92m:06022 


Items with secondary classifications in 06D20 

Banaschewski, B. (with Briimmer, G. C. L.) Strong zero-dimensionality of biframes and 
bispaces. 92f:54034 

Briimmer, G. C. L. see Banaschewski, B., 92f:54034 

Erné, Marcel (with Kopperman, Ralph) Natural continuity space structures on dual 
Heyting algebras. 92b:06024 

— The Dedekind-MacNeille completion as a reflector. 92j:06005 

Idziak, Pawel M. Elementary theory of free Heyting algebras. 92c:03072 

— Sheaves in universal algebra and model theory. I. 92g:08010a 

— Sheaves in universal algebra and model theory. II. 92g:08010b 

Kopperman, Ralph see Erné, Marcel, 92b:06024 

Paseka, Jan (with Sekanina, P.) A note on extremally disconnected frames. 92f:54035 

Sekanina, P. see Paseka, Jan, 92f:54035 

Sorbi, Andrea Embedding Brouwer algebras in the Medvedev lattice. 92j:03056 

Touraille, Alain A characterization of primitive Boolean algebras. 92g:06020 


06D25 Post algebras [see also 03G20] 


Items with secondary classifications in 06D25 
Nipkow, Tobias Unification in primal algebras, their powers and their varieties. 92b:08010 


06D30 De Morgan algebras, Lukasiewicz algebras 
[see also 03G20] 


Blyth, T. S. (with Varlet, J.C.) On the dual space of an MS-algebra. 92h:06009 

— (with Fang, Jie; Varlet, J.C.) Subdirectly irreducible Ockham algebras. 92j:06014 
— (with Hansoul, G.; Varlet, J.C.) The dual space of a double MS-algebra. 92a:06011 
— (with Varlet, J.C.) On the MS-algebras of the unit cube. 92j:06015 





157 1992 


Fang, Jie see Blyth, T. S.; et al., 92j:06014 

Figallo, Aldo V. A note on M;-lattices. (Spanish) 924:06029 

de Glas, Michel A representation theory for rings of finite characteristics. (Russian 
summary) 92g:06016 

Hansoul, G. see Blyth, T. S.; et al., 92a:06011 

Hou, Yao Ping Congruences on PM-algebras. (Chinese. English summary) 92m:06023 

Martinez, N. G. The Priestley duality for Wajsberg algebras. 92a:06012 

Ramalho, Margarita Some aspects of Ockham algebras. (Portuguese. English summary) (see 
92m:00048) 

Rubio i Diaz, Pedro On normal De Morgan algebras. (Spanish) (see 92b:00044) 

— Congruences and Stone topology in normal De Morgan algebras. (Spanish. English 
summary) (see 92m:00048) 

Varlet, J.C. see Blyth, T. S.; et al., 92a:06011; 92h:06009; 92j:06014 and 92j:06015 

Wan, Hong Hui Algebraic properties of interval algebras. 92m:06024 


Items with secondary classifications in 06D30 


Baboolal, D. Fan-Gottesman type compactification of frames. 92b:54048 

Belluce, L. P. (with Di Nola, Antonio; Sessa, Salvatore) Triangular norms, MV-algebras 
and bold fuzzy set theory. 92g:03088 

Boicescu, V. (with Filipoiu, Alexandru; Georgescu, G.; Rudeanu, Sergiu) * Lukasiewicz- 
Moisil algebras. 92k:03031 

Di Nola, Antonio see Belluce, L. P.; et al., 92g:03088 

Figallo, Aldo V. IA3-algebras. 92c:03071 

Filipoiu, Alexandru see Boicescu, V.; et al., 92k:03031 

Georgescu, G. see Boicescu, V.; et al., 92k:03031 

(Lukasiewicz, J.) see Boicescu, V.; et al., 92k:03031 

(Moisil, Gr. C.) see Boicescu, V.; et al., 92k:03031 

Rudeanu, Sergiu see Boicescu, V.; et al., 92k:03031 

Sessa, Salvatore see Belluce, L. P.; et al., 92g:03088 


06D99 None of the above, but in this section 


Al-Ezeh, H. On a-ideals of conormal lattices. 92g:06017 

Banaschewski, B. (with Niefield, S. B.) Projective and supercoherent frames. 92b:06034 

Behrendt, Gerhard Representations of locally distributive lattices. 92i:06020 

Liu, Xiao Shi Some cardinal inequalities for molecular lattices with higher degree of 
separation. (Chinese. English summary) 92j:06016 

Madden, James J. x-frames. 92d:06030 

— (with Molitor, Andrew) Epimorphisms of frames. 92d:06031 

Molitor, Andrew see Madden, James J., 92d:06031 

Niefield, S. B. see Banaschewski, B., 92b:06034 

Rosenthal, Kimmo I. * Quantales and their applications. 92¢:06028 


Items with secondary classifications in 06D99 

Bankston, Paul Corrigendum to: “Taxonomies of model-theoretically defined topological 
properties” [J. Symbolic Logic 55 (1990), no. 2, 589-603; MR 91g:03065]. 92i:03030 

Belluce, L. P. (with Di Nola, Antonio; Lettieri, A.) On some lattice quotients of MV- 
algebras. 92f:03071 

Bordat, Jean-Paul Efficient polynomial algorithms for distributive lattices. 92m:68088 

Di Nola, Antonio see Belluce, L. P.; et al., 92f:03071 

Johnstone, Peter T. The “closed subgroup theorem” for localic herds and pregroupoids. 
92¢:22008 

Lettieri, A. see Belluce, L. P.; et al., 92f:03071 

Rachinek, Jifi A characterization of o-distributive semilattices. 92¢:06014 

Rodriguez Salas, Antonio Jestis Subvarieties of Hilbert algebras. (Spanish) 92d:03044 

Schlitt, Greg M. N-compact frames. 92j:54033 


06Exx Boolean algebras (Boolean rings) [see also 03G05] 


06E05 Structure theory 


Abraham, Uri (with Bonnet, Robert) Every superatomic subalgebra of an interval algebra is 
embeddable in an ordinal algebra. 92i:06021 

Aizpuru Tomas, Antonio (with Benitez Trujillo, Francisco) Supremum and interpolation 
properties and sequentional subalgebras of a Boolean algebra. (Spanish) (see 92g:00024) 

— Equivalence between interpolation properties and supremum property in algebras with 
the ccc property. (Spanish) (see 92g:00024) 

Benitez Trujillo, Francisco Study of some Boolean algebras using sequences of ordinals. 
(Spanish. English summary) (see 92b:00044) 

— The Ramsey theorem applied to Boolean algebras. (Spanish. English summary) 
92g:06018 

— see also Aizpuru Tomas, Antonio, (92g:00024) 

Bonnet, Robert see Abraham, Uri, 92i:06021 

Doganyilmaz, Nesrin A-theory and Boolean algebra. (Turkish. English summary) 

van Douwen, Eric K. On question Q47. 92d:06032 

Fuchino, Sakaé (with Koppelberg, Sabine) Pseudo-tree algebras which are embeddable into 
L.ow,-free Boolean algebras. (see 92a:03004) 

Koppelberg, Sabine see Fuchino, Sakaé, (92a:03004) 

Martinez, Juan Carlos On scattered spaces and Boolean algebras. (Spanish. English 
summary) (see 92b:00044) 

Mazur, Krzysztof F,-ideals and «,j}-gaps in the Boolean algebras P(w)//. 92g:06019 

Monk, J. Donald * Cardinal functions on Boolean algebras. 92d:06033 

de Oliveira, Eurides Alves (with Teixeira, Mario Tourasse) Residual sets in N. (Portuguese. 
English summary) 92i:06022 

Teixeira, Mario Tourasse see de Oliveira, Eurides Alves, 92i:06022 

Touraille, Alain A characterization of primitive Boolean algebras. 92g:06020 


Items with secondary classifications in 06E05 
Abian, Alexander A lemma for incompleteness of nonprincipal ultrafilters. 92a:04004 


06E Boolean algebras (Boolean rings) 


06E30 


Frankiewicz, Ryszard (with Zbierski, P.) On partitioner-representability of Boolean 
algebras. 92b:03055 

Grygiel, Joanna Absolutely independent sets of generators of filters in Boolean algebras. 
92a:03077 

Just, Winfried (with Koszmider, Piotr) Remarks on confinalities and homomorphism types 
of Boolean algebras. 92d:03038 

— A modification of Shelah’s oracle-c.c. with applications. 92j:03047 

Koszmider, Piotr see Just, Winfried, 92d:03038 

Madden, James J. (with Molitor, Andrew) Epimorphisms of frames. 924:06031 

Molitor, Andrew see Madden, James J., 92d:06031 

Pal'chunov, D. E. Simple and countably saturated /-algebras. (Russian) (see 92g:03005) 

Ramalho, Margarita Boolean algebras and distributive lattices in universal algebra. 
(Portuguese) (see 92g:00023) 

Shelah, Saharon Cardinal arithmetic for skeptics. 92h:03071 

Zhbierski, P. see Frankiewicz, Ryszard, 92b:03055 


06E10 Chain conditions, complete algebras 


Sachwanowicz, Wojciech A note on complete partitions in Boolean algebras. 92f:06014 
Samorodnitskii, A. A. On the existence of homogeneous independent completions. 
(Russian) (see 92d:28002) 


Items with secondary classifications in 06E10 

Kusraev, A. G. On the structure of vector measures and complete Boolean algebras. 
(Russian) 92k:28020 

Smarda, Bohumil Polarities on algebraical structures. (Russian and Slovak summaries) 
92£:08001 


06E15 Stone space and related constructions 


Aizpuru Tomas, Antonio Boolean algebras whose Stone spaces have no nontrivial Cauchy 
sequences. (Spanish) (see 92g:00024) 

Bergman, George M. Actions of Boolean rings on sets. 92g:06021 

Procesi Ciampi, R. (with Rota, R.) Stone’s representation theorem for Boolean hyperalge- 
bras. 92h:06010 

Rota, R. see Procesi Ciampi, R., 92h:06010 


Items with secondary classifications in 06E15 

Baumgartner, James E. (with Frankiewicz, Ryszard; Zbierski, P.) Embedding of Boolean 
algebras in P(w)/fin. 92e:03075 

Frankiewicz, Ryszard see Baumgartner, James E.; et al., 92e:03075 

Maczytiski, Maciej J. A theorem on representation of algebraic systems admitting a full set 
numerical functionals. 92d:08006 

Martinez, Juan Carlos A consistency result on thin-tall superatomic Boolean algebras. 
92i:03056 

Nishimura, Hirokazu Some connections between Boolean valued analysis and topological 
reduction theory for C*-algebras. 922:46066 

Tkadlec, Josef Partially additive states on orthomodular posets. 92¢:06005 

Zhbierski, P. see Baumgartner, James E.; et al., 92e:03075 


06E20 Ring-theoretic properties [see also 16E50, 16G30] 


Foldes, Stéphane Subcubes of hypercubes: graphic aspects of Boolean algebra. 92j:06017 

Goodman, Irwin R. (with Nguyen, Hung T.) Foundations for an algebraic theory of 
conditioning. 92k:06018 

Nguyen, Hung T. see Goodman, Irwin R., 92k:06018 


06E25 Boolean algebras with additional operations 
(diagonalizable algebras, etc.) 


Hawranek, Jacek A topological interpretation of diagonalizable algebras. 92b:06035 
Tembrowski, Bronislaw Quasi-topological Boolean algebras of reflexive and quasi- 
topological spaces. 92a:06013 


06E30 Boolean functions [see also 94C10] 


Bankovi¢, Dragié Reproductive solutions in Boolean algebras @ and @. (Serbo-Croatian 
summary) 92a:06014 

— General solutions in Boolean algebras # and @). (Serbo-Croatian summary) 92d:06034 

— Certain Boolean equations. 92j:06018 

Fischer, Paul Which Boolean functions can be computed by monotone planar circuits? 
92a:06015 

Gilezan, Koriolan (with Udicki, Milo’) Generalized pseudo-Boolean functional equations 
of the third order. (Serbo-Croatian summary) 92b:06036 

Lipkin, L. I. see Zuev, Yu. A., 92h:06012 

Marchenkov, S.S. Uniform id-decomposition of Boolean functions. (Russian) 92j:06019 

Rudeanu, Sergiu * On deduction theorems and functional Boolean equations. 92j:06020 

Stetsenko, V. A. A classification of Post classes. (Russian) 92a:06016 

Stérmer, Horand * Binary functions and their applications. 92i:06023 

Udicki, Milo’ see Gilezan, Koriolan, 92b:06036 

Uhlig, Dietmar Boolean functions with a large number of subfunctions and small compiex- 
ity and depth. 92i:06024 

Zadoyan, K. V. A Boolean function with a small number of zeros. (Russian) 92h:06011 

Zuev, Yu. A. (with Lipkin, L. I.) Regular Boolean functions with given complexity of 
disjunctive normal forms. (Russian) 92h:06012 


Items with secondary classifications in 06E30 


Aizenberg, I. N. A universal logical element over the field of complex numbers. (Russian. 
English and Ukrainian summaries) 
Bankovi¢, Dragi¢ All general solutions of finite equations. 92¢:04002 





06E30 


Cao, Han Fan A survey of a simplification method for multi-output logical functions. 
(Chinese. English summary) 

Dunne, Paul E. * The complexity of Boolean networks. 92e:94035 

Kitaev, A. Yu. Approximate calculation of the height of a maximal upper zero of a 
monotone Boolean function. (Russian) 92j:68052 

Kobuchi, Youichi Logic networks with Lyapunov functions—linear analysis. (see 
92m:00061) 

Nipkow, Tobias Unification in primal algebras, their powers and their varieties. 92b:08010 

Nozaki, Akihiro see Sato, Hisashi; et al., 92h:94040 

Pogosyan, G. R. see Sato, Hisashi; et al., 92h:94040 

Sato, Hisashi (with Nozaki, Akihiro; Pogosyan, G. R.) Completeness of logical functions 
realized by asynchronous sequential circuits. 92h:94040 

Simon, Hans-Ulrich The Vapnik-Chervonenkis dimension of decision trees with bounded 
rank. 92i:68132 

Stetsenko, V. A. A necessary condition for premaximal bases in P). (Russian) 92e:03008 

Stiefel, B. On an application of the Boolean differential calculus to digital system theory. 
92b:94057 

Wang, Chi (with Williams, A.C.) The threshold order of a Boolean function. 924:94039 

— (with Williams, A.C.) Addendum to: “The threshold order of a Boolean function” 
[Discrete Appl. Math. 31 (1991), no. 1, 51-69; MR 92d:94039]. 

Williams, A.C. see Wang, Chi, 92d:94039 

Zhang, Yan Zhong Minimisation of exclusive-OR logic functions. 92f:94033 


06E99 None of the above, but in this section 


Items with secondary classifications in 06E99 

Aizpuru Tomas, Antonio Countable Boolean algebras and the Orlicz-Pettis property. 
(Spanish. English summary) (see 92b:00044) 

Argyros, S. (with Lambrou, M.; Longstaff, W. E.) Atomic Boolean subspace lattices and 
applications to the theory of bases. 92m:46022 

Baszenski, Ginter (with Delvos, Franz-Jiirgen) Boolean algebra and multivariate 
interpolation. 92f:41003 

Borceux, Francis (with Pedicchio, Maria Cristina; Rossi, Fabio) Boolean algebras in a 
localic topos. 92b:18002 

Delvos, Franz-Jiirgen (with Schempp, Walter) Interpolation projectors and closed ideals. 
92e:41003 

— see also Baszenski, Ginter, 92f:41003 

Dulatova, Z. A. see Vinokurov, S. F.; et al., 92a:03053 

Gluschankof, Daniel (with Tilli, Miguel) On some extension theorems in functional 
analysis and the theory of Boolean algebras. 92f:46001 

Gruber, Peter Manfred The endomorphisms of the lattice of convex bodies. 92h:52003 

Heindorf, Lutz Boolean semigroup rings and exponentials of compact zero-dimensional 
spaces. 92c:54010 

Just, Winfried Repercussions of a problem of Erdés and Ulam on density ideals. 92f:03061 

Khomich, V. I. On the embedding of implicators. (Russian) 92e:03092 

— Superintuitionistic propositional logics connected with partially ordered sets. (Russian) 
92i:03023 

Lambrou, M. see Argyros, S.; et al., 92m:46022 

Longstaff, W. E. see Argyros, S.; et al., 92m:46022 

Pedicchio, Maria Cristina see Borceux, Francis; et al., 92b:18002 

Peryazev, N. A. see Vinokurov, S. F.; et al., 92a:03053 

Rossi, Fabio see Borceux, Francis; et al., 92b:18002 

Schempp, Walter see Delvos, Franz-Jiirgen, 92e:41003 

Tilli, Miguel see Gluschankof, Daniel, 92f:46001 

Vinokurov, S. F. (with Dulatova, Z. A.; Peryazev, N. A.) Positive classification of Boolean 
algebras in an extended signature. (Russian) 92a:03053 


06Fxx Ordered structures 


06F0S Ordered semigroups [see also 20Mxx] 


Almeida Santos, M. H. see Blyth, T. S., 92m:06025 

Blyth, T.S. (with Pinto, G. A.) Idempotents in principally ordered regular semigroups. 
92g:06022 

— (with Almeida Santos, M. H.) Naturally ordered orthodox Dubreil-Jacotin semigroups. 
92m:06025 

Gierz, Gerhard (with Romanowska, A. B.) Duality for distributive bisemilattices. 
92i:06025 

Hanumantha Rao, S. see Ramana Murty, P. V., 92e:06030 

Hetyei, G. L. On ordering the free product of ordered semigroups. 92g:06023 

Hippisley-Cox, S. D. On the structure of certain po-semigroups. 92j:06021 

Kehayopulu, Niovi On right regular and right duo ordered semigroups. 92a:06017 

— The chain of right simple semigroups in ordered semigroups. 92a:06018 

— Note on Green’s relations in ordered semigroups. 92a:06019 

— On ordered semigroups without nilpotent ideal elements. 924:06035 

— On weakly commutative poe-semigroups. 92¢:06029a 

— Correction to the paper: “On weakly commutative poe-semigroups”. 92e:06029b 

— On completely regular poe-semigroups. 92m:06026 

— On regular duo ordered semigroups. 92m:06027 

— On left regular and left duo poe-semigroups. 92m:06028 

Pinto, G. A. see Blyth, T. S., 92g:06022 

Rachinek, Jifi Regular ideals in autometrized algebras. (Russian summary) 92d:06036 

Ramana Murty, P. V. (with Hanumantha Rao, S.) Ona problem in poe-semigroups. 
92e:06030 

Romanowska, A. B. see Gierz, Gerhard, 92i:06025 

Satyanarayana, M. Semigroups of unitary type. 92b:06037 

Veksler, A. I. Embedding of lattice-ordered semigroups into lattice-ordered groups. 
(Russian) 92¢:06031 


ORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES 


Items with secondary classifications in 06F05 

Ito, Masami’ A note on the paper: “Disjunctive languages and compatible orders” [RAIRO 
Inform. Théor. Appl. 23 (1989), no. 2, 149-163; MR 91a:68162] by Ito, H. J. Shih and G. 
Thierrin. (French summary) 92j:68064 

Jagnow, Ingrid Erweiterung linearer involutorischer Halbgruppen. [Extension of linear 
involutory semigroups] 92f:20069 

Kehayopulu, Niovi On adjoining identity to semigroups, greatest element to ordered sets. 
92h:20091 

Proti¢, Petar V. Some congruences on a 2-regular semigroup. (Serbo-Croatian summary) 
92e:20043 

(Shih, Hui Jan) see Ito, Masami’, 92j:68064 

(Thierrin, G.) see Ito, Masami! , 92j:68064 


06F10 Noether lattices 


Anderson, D. D. Dilworth’s early papers on residuated and multiplicative lattices. (see 
92f:01002) 

— Representation and embedding theorems for Noether lattices and r-lattices. (see 
92f:01002) 

— see also Nakkar, H. M., 92h:06013 

Johnson, E. W. Abstract ideal theory: principals and particulars. (see 92f:01002) 

Madden, James J. Vector-lattices and a problem in geometry. 92k:06019 

Nakkar, H. M. (with Anderson, D. D.) Localization of associated and weakly associated 
prime elements and supports of lattice modules of finite length. 92h:06013 


Items with secondary classifications in 06F10 

Al-Khouja, I. A. see Nakkar, H. M., 92j:06009 

Nakkar, H. M. (with Al-Khouja, I. A.) Locally Noetherian lattice modules. 92j:06009 
Veksler, A. I. Embedding of lattice cones in vector lattices. (Russian) 92j:46012 


06F15 Ordered groups [see also 20F60] 


Anderson, Marlow (with Darnel, Michael R.; Feil, T.) A variety of lattice-ordered groups 
containing all representable covers of the abelian variety. 92k:06020 

Ball, Richard N. (with McCleary, Stephen H.) The gate completion G of a lattice-ordered 
permutation group. 92g:06024 

Cernak, Stefan Completion and Cantor extension of cyclically ordered groups. 92b:06038 

— On the completion of cyclically ordered groups. 92¢:06032 

Chen, Bao Xing Some notes on bases of /-groups. (Chinese. English summary) 

Conrad, Paul F. (with Martinez, Jorge?) Complementing lattice-ordered groups: the 
projectable case. 92k:06021 

Darnel, Michael R. see Anderson, Marlow; et al., 92k:06020 

Droste, Manfred (with Shortt, R. M.) Commutators in groups of order-preserving 
permutations. 92¢:06034 

— (with Truss, J. K.) Subgroups of small index in ordered permutation groups. 92g:06025 

Feil, T. see Anderson, Marlow; et al., 92k:06020 

Giraudet, M. (with Lucas, F.) Groupes 4 moitié ordonnés. (English summary) [Half- 
ordered groups] 92m:06029 

Gluschankof, Daniel Prime ideal and Sikorski extension theorems for some /-groups. 
92b:06039 

Gurchenkov, S. A. The non-Brouwerian property and continuality of the lattice of nilpotent 
l-varieties. (Russian) 92d:06037 

— On three problems in the theory of /-varieties. (Russian) 924:06038 

Hansen, Mary E. The lex property of varieties of lattice ordered groups. 92i:06026 

Jakubik, Jan On completions of linearly ordered groups. (Slovak summary) 92¢:06035 

— Cyclically ordered groups with unique addition. 92b:06040 

— On directed interpolation groups. 92g:06026 

— Completions and closures of cyclically ordered groups. 92¢:06033 

— Mixed product decompositions of a directed group. 92¢:06036 

— Lattice ordered groups with unique addition must be Archimedean. 92k:06022 

Jasem, Milan On weak isometries in multilattice groups. 92f:06015 

Kontolatou, A. (with Stabakis, J.) Embedding groups into linear or lattice structures. 
92m:06030 

Li, Si Ze On the varieties of representable /-groups. (Chinese. English summary) 92b:06041 

Lucas, F. see Giraudet, M., 92m:06029 

Madden, James J. (with Vermeer, J.) Epicomplete Archimedean /-groups via a localic 
Yosida theorem. 92f:06016 

Martinez, Jorge? see Conrad, Paul F., 92k:06021 

McCleary, Stephen H. Telling left from right. 92d:06039 

— see also Ball, Richard N., 92g:06024 

Powell, Wayne B. Universal aspects of the theory of lattice ordered groups. 92¢:06037 

Rachinek, Jiti Convex directed subgroups of right ordered tree groups. 92b:06042 

Rhemtulla, Akbar Periodic extensions of ordered groups. 92i:06027 

Shirshova, E. E. Properties of homomorphisms of Riesz groups. (Russian) 

Shortt, R.M. see Droste, Manfred, 92e:06034 

Stabakis, J. see Kontolatou, A., 92m:06030 

Strojnowski, Andrzej (with Wojas, Wiodzimierz) Some remarks on O-groups. 92a:06020 

Truss, J. K. see Dr><*>, Manfred, 92g:06025 

Varaksin, S. V. Latcice-ordered groups that are constructed by means of right-ordered 
groups. (Russian) 92¢:06038 

— Varieties that are generated by simple /-groups. (Russian) 92a:06021 

Vermeer, J. see Madden, James J., 92f:06016 

Wojas, Wiodzimierz see Strojnowski, Andrzej, 92a:06020 

Zhang, Kun Long Notes on “lexicographic extensions” of po-groups. (Chinese. English 
summary) 92i:06028 

Zhao, Xi Wu Some properties of fuzzy sublattice groups. (Chinese. English summary) 

— Fuzzy congruences of lattice-ordered groups. (Chinese. English summary) 


Items with secondary classifications in 06F15 
Bergman, George M. Right orderable groups that are not locally indicable. 92e:20030 





159 1992 


Candeal, Juan Carlos (with Indurdin Eraso, Esteban) Utility functions on partially ordered 
topological groups. 92i:90018 

Dyer, Matthew On the “Bruhat graph” of a Coxeter system. 92c:20076 

Elliott, George A. Dimension groups with torsion. 92¢:46116 

Gil Trilles, Antoni Homogenization in G-graded rings, with G an ordered group. (Spanish) 
(see 92g:00024) 

Indurdin Eraso, Esteban see Candeal, Juan Carlos, 92i1:90018 

Koldunov, A. V. An ordered completion k(S, G, a(p)) of an ordered topological group. 
(Russian) 92k:22004 

Krob, Daniel Some examples of formal series used in noncommutative algebra. 92k:16048 

Mach, Andrzej Sur les solutions disjointes de l’équation de translation. [On disjoint 
solutions of the translation equation] 92e:39031 

Neuman, Frantisek Ordered groups, commuting matrices and iterations of functions in 
transformations of differential equations. 92m:34016 

Saarimaki, Mikko (with Sorjonen, Pekka) * Extensions of valued groups. 92i:20030 

Sorjonen, Pekka see Saarimaki, Mikko, 92i:20030 

Veksler, A. I. Embedding of lattice-ordered semigroups into lattice-ordered groups. 
(Russian) 92e:06031 


06F20 Ordered abelian groups, Riesz groups, ordered linear 
spaces [see also 46A40] 


Anderson, Marlow Lattice-ordered groups of divisibility: an expository introduction. 
92d:06040 

Ball, Richard N. (with Hager, Anthony W.) Applications of spaces with filters to 
Archimedean /-groups with weak unit. 92j:06022 

— (with Hager, Anthony W.) On the localic Yosida representation of an Archimedean lattice 
ordered group with weak order unit. 92k:06023 

— (with Hager, Anthony W.; Kizanis, Ann) Epimorphic adjunction of a weak order unit to 
an Archimedean lattice-ordered group. 92m:06031 

Buskes, Gerard (with van Rooij, A.C. M.) Sur l’espace de Riesz enveloppant. (English 
summary) [The enveloping Riesz space] 92i:06029 

Conrad, Paul F. (with Darnel, Michael R.) Lattice-ordered groups whose lattices determine 
their additions. 92f:06017 

Dahn, Bernd I. (with Lenski, Wolfgang) Universally generic finitely generated ordered 
abelian groups. (see 92a:03004) 

Darnel, Michael R. see Conrad, Paul F., 92f:06017 

Hager, Anthony W. see Ball, Richard N., 92j:06022; 92k:06023 and 92m:06031 

Kizanis, Ann see Ball, Richard N.; et al., 92m:06031 

Lenski, Wolfgang see Dahn, Bernd I., (92a:03004) 

Mach, Andrzej Invariant decompositions of a final interval of a linearly ordered and abelian 
group. 92g:06027 

Madden, James J. Frames associated with an abelian /-group. 92g:06028 

Pap, Endre Distance preserving maps on abelian lattice ordered groups. (Serbo-Croatian 
summary) 92m:06032 

van Rooij, A.C. M. see Buskes, Gerard, 92i:06029 


Items with secondary classifications in 06F20 
Abramovich, Yuri A. (with Lipecki, Zbigniew) On lattices and algebras of simple functions. 
922:46007 


Basile, Achille (with Traynor, Tim) Monotonely Cauchy locally-solid topologies. 92j:46008 

Bernau, S. J. (with Huijsmans, C. B.; de Pagter, Ben) Sums of lattice homomorphisms. 
92h:46009 

Cerndk, Stefan Completion and Cantor extension of cyclically ordered groups. 92b:06038 

Filter, Wolfgang Riesz spaces of step functions. 92h:46010 

Hoo, C.S. MV- and BCK-algebras and some applications. 92g:06033 

Huijsmans, C. B. see Bernau, S. J.; et al., 92h:46009 

Jakubik, Jaén Lattice ordered groups with unique addition must be Archimedean. 
92k:06022 

Lipecki, Zbigniew see Abramovich, Yuri A., 92a:46007 

Mundici, Daniele Approximately finite-dimensional C*-algebras, abelian /-groups and 
Lukasiewicz’s infinite-valued logic. 92a:46065 

de Pagter, Ben see Bernau, S. J.; et al., 92h:46009 

Traynor, Tim see Basile, Achille, 92j:46008 


06F25 Ordered rings, algebras, modules {For ordered fields, see 
12J15; see also 13.325, 16W80.} 


Bernau, S. J. (with Huijsmans, C. B.) On some classes of lattice-ordered algebras. 
92a:06022 

Chen, Zhao Mu (with Wang, Hua Xiong) P-endomorphisms of BCI-algebras. (Chinese. 
English summary) 

Gonzalez, Santos (with Martinez Lépez, Consuelo) Periodic associative rings and order 
structure. 92e:06039 

Huijsmans, C. B. see Bernau, S. J., 92a:06022 

Larson, Suzanne Primary /-ideals in a class of f-rings. 92d:06041 

Lin, Da Hua The periods of elements in BCI-algebras. (Chinese. English summary) 

Martinez Lépez, Consuelo see Gonzalez, Santos, 92¢:06039 

Redfield, R. H. Banaschewski functions and ring-embeddings. 92g:06029 

Schwartz, Niels Epimorphisms of f-rings. 92m:06033 

Wang, Hua Xiong see Chen, Zhao Mu; et al. 

Wojciechowski, Piotr On orderpotent rings. 92¢:06040 


Items with secondary classifications in 06F25 

Dauns, John Lattice ordered division rings exist. 92i:13020 

Kalhoff, Franz On the existence of special quasifields. 92m:12016 

Ma, Jing Jing On lattice-ordered rings with polynomial constraints. (Chinese. English 
summary) 92g:16060 

Powers, Victoria Holomorphy rings and higher level orders on skew fields. 92b:11023 


06F Ordered structures 


06F35 


06F30 Topological lattices, order topologies [see also 06B30, 
22A26, 54F05, 54H12] 


Items with secondary classifications in 06F30 

Bouziad, A. Continuité d’une action d’un semilattis compact. [Continuity of an action of a 
compact semilattice] 92m:06013 

Chung, S. H. Almost a-convex quasi-ordered syntopogenous spaces. 92m:54059 

Erné, Marcel (with Vainio, R.) Connectivity in lattice-ordered spaces. 92h:06007 

Frommer, Andreas On asynchronous iterations in partially ordered spaces. 92m:54060 

Gamon, Margaret A. (with Kent, Darrell C.) A note on ordered planes. 

lliadis, S. D. see Kontolatou, A.; et al., 924:54043 

Jha, S. N. A characterisation of least upper bound in linearly ordered spaces. 92b:06001 

Kent, Darrell C. see Gamon, Margaret A. 

Kontolatou, A. (with Iliadis, S. D.; Stabakis, J.) Global and local regularities of ordered 
spaces. 924:54043 

Kiinzi, Hans-Peter A. Completely regular ordered spaces. 92g:54046 

van Maaren, Hans Fixed point theory in multiply ordered spaces. (French summary) 
92h:54042 

Michaelis, Rebecca N. Connected regular sublattices of Euclidean space. 92b:54080 

Stabakis, J. see Kontolatou, A.; et al., 92d:54043 

Vainio, R. see Erné, Marcel, 92h:06007 


06F35 BCK-algebras, BCI-algebras [see also 03G25] 


Ahmad, Bashir see Bhatti, Shaban Ali; et al. 

Ahsan, J. (with Deeba, Elias Y.; Thaheem, A. B.) On prime ideals of BCK-algebras. 
92f:06018 

Aslam, M. (with Thaheem, A.B.) A note on p-semisimple BCI-algebras. 92a:06023 

— (with Thaheem, A. B.) On certain ideals in BCK-algebras. 92g:06030 

Bhatti, Shaban Ali Strong ideals and quotient algebras of BCI-algebras. 

— (with Chaudhry, Muhammad Anwar; Ahmad, Bashir) Obstinate ideals in BCI-algebras. 

— On some ideals in BCI-algebras. 92¢:06041 

— (with Chaudhry, Muhammad Anwar) On weak mappings of BCI-algebras. 92a:06024 

— Closedness and openness of ideals in BCI-algebras. 

— (with Chaudhry, Muhammad Anwar) Annihilators and duality in BCI-algebras. 

— (with Chaudhry, Muhammad Anwar) Characterizations of BCI-algebras with weak unit. 

— Equivalents of strong and regular ideals in BCI-algebras. 

Chaudhry, Muhammad Anwar (with Zaidi, Arfan Hussain) On centre and regular 
congruences on BCI-algebras. 

— On BCH-algebras. 92¢:06042 

— Branchwise commutative BCI-algebras. 92i:06030 

— see also Bhatti, Shaban Ali, 92a:06024 

Chen, Wei (with Wu, Wang Ming) Characteristics of full-involutorial BCK-algebras. 
(Chinese. English summary) 924:06042 

Chen, Zhao Mu (with Wang, Hua Xiong) Closed ideals and congruences on BCI-algebras. 
92g:06031 

— (with Wang, Hua Xiong) On ideals in BCI-algebras. 92b:06043 

— (with Wang, Hua Xiong) On simple BCI-algebras. 92¢:06043 

Dai, Yue Jin The structure of BCI-algebra modules. (Chinese. English summary) 92¢:06044 

Dar, Karamat H. Embedding of a medial BCI-algebra in a medial (r, /)-system. 

Deeba, Elias Y. see Ahsan, J.; et al., 92f:06018 

Guzmén, Fernando (with Lynch, Christopher) Varieties of positive implicative BCK- 
algebras subdirectly irreducible and free algebras. 92j:06023 

Hoo, C.S. MV- and BCK-algebras and some applications. 92g:06033 

— MV- and BCK-algebras on posets. 92g:06034 

— Filters and ideals in BCI-algebras. 92h:06014 

— Unitary extensions of MV- and BCK-algebras. 92m:06034 

Huang, Wen Ping On the p-semisimple part in BCI-algebras. 

— Nil-radical in BCI-algebras. 

Jiang, Hao Computational methods in the study of finite BCK-algebras with low orders. 
92g:06032 

— An extension of BCK-algebras. I. (Chinese. English summary) 

Kondo, Michiro Left regular maps in BCK-algebra. 92b:06044 

Lin, Yuan Hong The relationships between BCK-algebras and Griss type algebras. 
92¢:06045 

— Some results on BCK-algebras. 92m:06035 

Liu, Gui Long Some notes on BCK algebras. (Chinese. English summary) 

Liu, Yong Lin Some results on p-semisimple BCI-algebras. 

Lynch, Christopher see Guzman, Fernando, 92j:06023 

Meng, Jie Some results on obstinate ideals for BCK-algebras. (Chinese. English summary) 

— (with Xin, Xiao Long) Characterizations of atoms in BCI-algebras. 

— (with Xin, Xiao Long) Commutative BCI-algebras. 

Ouyang, Bai Yu Noncommutative positive implicative BCK-algebras. (Chinese. English 
summary) 92d:06043 

Raftery, James G. (with Sturm, Teo) Completions of uniform universal algebras and 
strongly uniform BCK-algebras. 92g:06036 

— (with Sturm, Teo) On direct products of BCK-chains. 92a:06025 

— (with Rosenberg, Ivo G.; Sturm, Teo) Tolerance relations and BCK-algebras. 92g:06035 

Ren, Jian Hua see Zhao, Xian Zhong; et al., 92d:06044 

Rosenberg, Ivo G. see Raftery, James G.; et al., 92g:06035 

Sturm, Teo see Raftery, James G., 92a:06025; 92g:06035 and 92g:06036 

Tan, Zhi Song On finite regular BCI-algebras. 92g:06037 

Thaheem, A. B. see Aslam, M., 92a:06023; Ahsan, J.; et al., 92f:06018 and Aslam, M.., 
92g:06030 

Wang, Hua Xiong see Chen, Zhao Mu, 92b:06043; 92e:06043 and 92g:06031 

Wu, Wang Ming see Chen, Wei; et al., 924:06042 

Xi, Ou Gen Fuzzy BCK-algebra. 92g:06038 

Xie, Kai Duan Antisimple BCK-algebras. (Chinese. English summary) 92¢:06046 

Xin, Xiao Long see Meng, Jie 





06F35 


Zaidi, Arfan Hussain see Chaudhry, Muhammad Anwar 

Zhang, Qun Some other characterizations of p-semisimple BCI-algebras. 92g:06039 

— A clutching in the BCI category. 

— On branches of BCI-algebras. 

— Extensions of BCI-algebras. 

— BCl-algebras with weak units. 

Zhang, Xiao Hong Another P-semisimple quotient algebra of a BCI-algebra. (Chinese. 
English summary) 

Zhao, Xian Zhong (with Ren, Jian Hua) On a conjecture of Graham. (Chinese. English 
summary) 92d:06044 

Zhu, Yi Quan Solvable BCI-algebras. 92g:06040 


Items with secondary classifications in 06F35 

Deng, Fang An see Jiang, Hao; et al. 

Jiang, Hao (with Deng, Fang An) Relations between fuzzy implication algebras and 
bounded BCK-algebras. (Chinese. English summary) 

Wang, Yong Quan The three-valued propositional logic system @YH. (Chinese. English 
summary) 92m:03031 


06F99 None of the above, but in this section 


Items with secondary classifications in 06F99 

Davey, B. A. (with Quackenbush, R. W.; Schweigert, D.) Monotone clones and the varieties 
they determine. 92d:08012 

Mittas, Jean Sur les structures hypercompositionnelles. (English summary) [On hypercom- 
positional structures] 92e:08002 

Quackenbush, R. W. see Davey, B. A.; et al., 92d:08012 

Schweigert, D. see Davey, B. A.; et al., 92d:08012 

Tecklenburg, Helga Semi-ordered ternary rings. 92b:51020 

Zhao, Xi Wu Some properties of fuzzy sublattice groups. (Chinese. English summary) 


08-XX General algebraic systems 


08-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Items with secondary classifications in 08-01 
Cohn, P.M. * Algebra. Vol. 3. 92c:00001 


08-02 Research exposition (monographs, survey articles) 

McKenzie, Ralph (with Valeriote, Matthew) * The structure of decidable locally finite 
varieties. 92j:08001 

Valeriote, Matthew see McKenzie, Ralph, 92j:08001 


Items with secondary classifications in 08-02 

(Behr, E.) see Algebra, 92b:00057 

(Kostrikin, Aleksei Ivanovich) see Algebra, 92b:00057 

McKenzie, Ralph Some interactions between group theory and the general theory of 
algebras. 92a:08009 

(Shafarevich, I. R.) see Algebra, 92b:00057 


Items listed otherwise than by author 
Algebra * Algebra. II. 92b:00057 
Encyclopaedia of Mathematical Sciences * Algebra. II. 92b:00057 


08-06 Proceedings, conferences, collections, etc. 


Items with secondary classifications in 08-06 
Conference: 
Universal Algebra, Quasigroups and Related Systems * Universal algebra, quasigroups 
and related systems. 92h:00019 
Jadwisin * Universal algebra, quasigroups and related systems. 92h:00019 


Universal algebra, quasigroups and related systems * Universal algebra, quasigroups and 
related systems. 92h:00019 


O8Axx Algebraic structures [see also 03C05] 


68A02 Relational systems, laws of composition 


Czajsner, Jerzy Subrelations of physical relations. 92d:08001 

— Physical relations and their abstraction properties. 92d:08002 

— A Cartesian product of physical relations. 92d:08003 

Damas Serrano, Antonio (with Quesada Molina, José Juan) Nonstrict Archimedean 
aggregation functions and copulas. (Spanish. English summary) (see 92b:00044) 

Lin, Yi? On additive systems. 92c:08001 

Mala, J. An equation for families of relations. 92g:08001 

Nehaniv, Chrystopher Lev Algebraic connectivity. 92m:08001 

Novotny, Miroslav Construction of all strong homomorphisms of binary structures. 
92c:08002 


Pionka, Jerzy The algebraic sum of a semilattice ordered system of relational systems. 
92m:08002 


ORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES 1992 160 


Poyatos Suarez, Francisco Theorems of J. A. Green and Jordan and Hdélder for trunks of 
algebras. (Spanish) (see 92g:00024) 

Quesada Molina, José Juan see Damas Serrano, Antonio, (92b:00044) 

Reverdy-Vilotitch, F. La reconstruction au sens de Ulam de certaines multirelations binaires. 
(English summary) [Reconstruction in the sense of Ulam of certain binary polyadic 
relations] 92m:08003 

Slapal, Josef Direct arithmetics of relational systems. 92d:08004 

Vogel, Hans-Jiirgen On clones of relations. 92d:08005 

Zickwolff, Monika Darstellung symmetrischer Strukturen durch Transversale. [Representa- 
tion of symmetric structures by transversals] 92j:08002 


Items with secondary classifications in 08A02 

Chankvetadze, O. E. Foundations of a mathematical theory of concepts. (Russian. English 
and Georgian summaries) 92g:03006 

Comer, Stephen D. Weakly regular trees and their color algebras. 92b:06010 

Constantin, Gheorghe (with Istratescu, loana) * Elements of probabilistic analysis with 
applications. 92g:46097 

(Giurgiutiu, Victor) see Constantin, Gheorghe, 92g:46097 

Gnitka, Stanislaw * Operators and topologies in relational systems. 92f:04001 

Heise, Werner (with Sérensen, Kay) Was Sie schon immer iiber affine Punktraume wissen 
wollten oder Keine Angst vor Translationen. (English summary) [Everything you always 
wanted to know about affine point spaces or Don’t be afraid of translations] 92k:51032 

Istratescu, Ioana see Constantin, Gheorghe, 92g:46097 

Sorensen, Kay see Heise, Werner, 92k:51032 

Tallini, G. General multivalued algebraic structures and geometric spaces. 92j:51003 

Volenec, Vladimir A characterization of parallelogram spaces. 92k:51002 

Zhang, Yi Min? see Zhao, Zhen Fan; et al. 

Zhao, Zhen Fan (with Zhang, Yi Min?) Topologies for probabilistic metric spaces. 
(Chinese. English summary) 


08A05 Structure theory 


Benini, A. (with Pellegrini Manara, Silvia) Invariant series in universal algebras, Q-groups 
and near-rings. 92j:08003 

Buschman, R. G. Extension of an algebraic system without identity to a system with identity 
and with preservation of other properties. 

Kaiser, H. K. (with Shinwar, M.) Approximation in compact topological universal algebras. 
92a:08001 

Lenzi, Domenico On a particular connection between a closure system and an external 
operation defined on the same set. 92e:08001 

Lin, Yi? (with Ma, Yonghao) Extremal theorems on pseudo-harmonic systems. 92a:08002 

Ma, Yonghao see Lin, Yi°, 92a:08002 

Maczytiski, Maciej J. A theorem on representation of algebraic systems admitting a full set 
numerical functionals. 92d:08006 

Mili¢, Svetozar Inflation of algebras. 92c:08003 

Mittas, Jean Sur les structures hypercompositionnelles. (English summary) [On hypercom- 
positional structures] 92¢:08002 

Pellegrini Manara, Silvia see Benini, A., 92j:08003 

Romanowska, A. B. (with Smith, Jonathan D. H.) On the structure of barycentric algebras. 
92g:08002 

Sauer, Norbert W. (with Stone, M. G.) Endomorphism monoids of algebras whose 
subalgebra lattices are chains. 92d:08007 

Shinwar, M. see Kaiser, H. K., 92a:08001 

Smith, Jonathan D. H. see Romanowska, A. B., 92g:08002 

Stone, M. G. see Sauer, Norbert W., 92d:08007 


Items with secondary classifications in 08A05 

Bredikhin, D. A. Characterization of some classes of groupoids of binary relations. 
(Russian) (see 92m:00033) 

Kiss, Emil W. (with Valeriote, Matthew) Strongly abelian varieties and the Hamiltonian 
property. 92g:08004 

Shelah, Saharon Cardinal arithmetic for skeptics. 92h:03071 

Valeriote, Matthew see Kiss, Emil W., 92g:08004 


08A30 Subalgebras, congruence relations 


Agliano, Paolo The prime spectrum of a universal algebra. 92d:08008 

Chajda, Ivan A principal congruence identity characterizing the variety of distributive 
lattices with zero. (Russian summary) 92b:08001 

— Every at most four element algebra has a Mal’cev theory for permutability. 92i:08001 

Climent, Joan B. (with Fernandino Larrinaga, Luis) On the relation between heterogeneous 
uniform 2-algebraic closure operators and heterogeneous algebras. 92d:08009 

Duda, Jaromir A x A congruence coherent implies A congruence regular. 92c:08004 

— Relation products of congruences and factor congruences. 92d:08010 

— Conditions for factorable relations. 92e:08003 

— Factorable congruences and factorable congruence blocks on powers of a finite algebra. 
92m:08004 

Fernandino Larrinaga, Luis see Climent, Joan B., 92d:08009 

Fuchs, Peter Rudolf On function algebras in which every congruence is determined by a 
filter. 92b:08002 

Gratzer, George (with Wenzel, G. H.) Notes on tolerance relations of lattices. 92b:08003 

Kearnes, Keith A. Type preservation in locally finite varieties with the CEP. 92m:08005 

Kogalovskii, S. R. (with Soldatova, V. V.) Remarks on congruence lattices of universal 
algebras. (Russian) 92b:08004 

Lee, Sin-Min On hereditarily simple graph algebras. 92b:08005 

McKenzie, Ralph Congruence extension, Hamiltonian and abelian properties in locally 
finite varieties. 92j:08004 

Ramaltho, Margarita On algebraic lattices and semisimple algebras. 92b:08006 

— On algebras with reduct in the variety of semilattices. (Portuguese. English summary) 
92m:08006 





161 1992 


SeSelja, Branimir (with Vojvodi¢, Gradimir) CEP and homomorphic images of algebras. 
(Serbo-Croatian summary) 

— (with Tepavéevié, Andreja) Weak congruences and homomorphisms. (Serbo-Croatian 
summary) 92m:08007 

— see also Vojvodié, Gradimir, 92a:08003 

Bohumil Polarities on algebraical structures. (Russian and Slovak summaries) 

92:08001 

Soldatova, V. V. see Kogalovskii, S. R., 92b:08004 

Tepavéevié, Andreja see SeSelja, Branimir, 92m:08007 

Vojvodi¢, Gradimir (with SeSelja, Branimir) Subalgebras and congruences via diagonal 
relation. 92a:08003 

— see also SeSelja, Branimir, 92e:08004 

Walendziak, Andrzej L-restricted g-representations of algebras. 92m:08008 

Wenzel, G. H. see Gratzer, George, 92b:08003 


Items with secondary classifications in 08A30 

Adams, M. E. (with Beazer, R.) Congruence properties of distributive double p-algebras. 
92¢:06026 

— (with Beazer, R.) Double p-algebras with Stone congruence lattices. 92i:06019 

Auinger, Karl Boolean congruence lattices of orthodox semigroups. 92c:20120 

Beazer, R. see Adams, M. E., 92e:06026 and 92i:06019 

Chajda, Ivan Weak coherence of congruences. 92a:08007 

Erné, Marcel Staircases and a congruence-theoretical characterization of vector spaces. 
92d:06017 

Fried, Ervin (with Gratzer, George) Generalized congruences and products of lattice 
varieties. 92d:06020 

Garcia, Josefa I. (with Hildebrant, John) Homomorphisms and congruences. (Spanish) 
(see 92e:00013) 

Gelashvili, T. M. Lattices of cosets of associated algebras. (Russian. English and Georgian 
summaries) 92a:16001 

Gratzer, George (with Lakser, H.) On complete congruence lattices of complete lattices. 
92e:06019 

— (with Lakser, H.) On congruence lattices of m-complete lattices. 92m:06014 

— see also Fried, Ervin, 924:06020 

Hildebrant, John see Garcia, Josefa I., (92e:00013) 

Hou, Yao Ping Congruences on PM-algebras. (Chinese. English summary) 92m:06023 

Lakser, H. see Gratzer, George, 92e:06019 and 92m:06014 

Langer, Helmut Factor-union representation of phenotype systems. 92c:92015 

Lau, Dietlinde Kongruenzen auf abgeschlossenen Mengen linearer Funktionen in mehrw- 
ertigen Logiken. [Congruences on closed sets of linear functions in many-valued logics] 
92e:03029 

Madden, James J. x-frames. 92d:06030 

Pondélitek, Bedtich On permutability in semigroup varieties. (Czech summary) 92m:20050 

Radelecki, Sandor Compatible tolerances on groupoids. 92f:20079 

Raftery, James G. (with Rosenberg, Ivo G.; Sturm, Teo) Tolerance relations and BCK- 
algebras. 92g:06035 

Rosenberg, Ivo G. see Raftery, James G.; et al., 92g:06035 

Sauer, Norbert W. (with Stone, M. G.) Endomorphism monoids of algebras whose 
subalgebra lattices are chains. 92d:08007 

SeSelja, Branimir (with Vojvodié, Gradimir) A note on some lattice characterizations of 
Hamiltonian groups. (Serbo-Croatian summary) 92a:20027 

— (with Tepavéevié, Andreja) Special elements of the lattice and lattice identities. (Serbo- 
Croatian summary) 92m:06017 

— see also Vojvodié, Gradimir, 924:06019 

Stone, M. G. see Sauer, Norbert W., 92d:08007 

Sturm, Teo see Raftery, James G.; et al., 92g:06035 

Teo, S. K. Every finite lattice is a complete congruence lattice. 92j:06010 

Tepavéevi¢, Andreja see SeSelja, Branimir, 92m:06017 

Vaz de Carvalho, Julia Principal congruences in double Stone algebras. (Portuguese. English 
summary) (see 92m:00048) 

Vojvodié, Gradimir (with SeSelja, Branimir) The diagonal relation in the lattice of weak 
congruences and the representation of lattices. (Serbo-Croatian summary) 92d:06019 

— see also SeSelja, Branimir, 92a:20027 

Zhu, Pin Yu Finite nil semigroups and their lattices of congruences. (Chinese) 


08A35 Automorphisms, endomorphisms 


Adams, M. E. (with Clark, D. M.) Endomorphism monoids in minimal quasiprimal 
varieties. 92c:08005 

Clark, D. M. see Adams, M. E., 92c:08005 

Costovici, Gh. On (b;)-morphisms of algebras. (Romanian summary) 92d:08011 

Giazek, Kazimierz Semigroups of weak endomorphisms of universal algebras. 92c:08006 

Kutzner, Dieter Initial morphisms in universal algebra. 92f:08002 

Sichler, J. (with Trnkova, Véra) On automorphism groups of unary algebras and of their 
reducts. 92g:08003 

Trnkova, Véra see Sichler, J., 92g:08003 


Items with secondary classifications in 08A35 

Behrendt, Gerhard Sharply transitive posets with free abelian automorphism group. 
92¢:20005 

Jezek, Jaroslav Subdirectly irreducible semilattices with an automorphism. 92i:06007 

Maller, Régnvaldur G. A note on piecewise automorphism groups of relational systems. 
92b:20003 

Sauer, Norbert W. (with Stone, M. G.) Endomorphism monoids of algebras whose 
subalgebra lattices are chains. 92d:08007 

Sichler, J. (with Trnkova, Véra) Functor slices and simultaneous representations. 
92i:18003 

Stone, M. G. see Sauer, Norbert W., 92d:08007 

Trnkova, Véra see Sichler, J., 92i:18003 


GENERAL ALGEBRAIC SYSTEMS 


08A40 Operations, polynomials, primal algebras 

Davey, B. A. (with Quackenbush, R. W.; Schweigert, D.) Monotone clones and the varieties 
they determine. 92d:08012 

— (with Schumann, V. J.; Werner, Heinrich) From the subalgebras of the square to the 
discriminator. 92m:08009 

Demetrovics, Janos (with Rényai, Lajos) Generating sets for crowns and fences. 92a:08004 

Denecke, Klaus Hyperidentities in multiple-valued logics. 92c:08007 

Dudek, Jézef (with Kisielewicz, Andrzej) Idempotent algebras with log-linear free spectra. 
92:08003 

Kisielewicz, Andrzej The p,-sequences of idempotent algebras are strictly increasing. II. 
92m:08010 

— see also Dudek, Jézef, 92f:08003 

Kiss, Emil W. (with Valeriote, Matthew) Strongly abelian varieties and the Hamiltonian 
property. 92g:08004 

Larose, Benoit Sous-clones maximaux du clone des opérations monotones sur un ordre 
borné fini. (English summary) [Maximal subclones of the clone of isotone operations on 
a bounded finite order] 92k:08001 

Quackenbush, R. W. see Davey, B. A.; et al., 92d:08012 

Ronyai, Lajos see Demetrovics, Janos, 92a:08004 

Schumann, V. J. see Davey, B. A.; et al., 92m:08009 

Schweigert, D. see Davey, B. A.; et al., 92d:08012 

Szendrei, Agnes Symmetric algebras. 92¢:08005 

Valeriote, Matthew see Kiss, Emil W., 92g:08004 

Werner, Heinrich see Davey, B. A.; et al., 92m:08009 

Zembery, Ivan Uniqueness of improper operations. 92k:08002 


Items with secondary classifications in 08A40 

Adams, M. E. (with Clark, D. M.) Endomorphism monoids in minimal quasiprimal 
varieties. 92¢:08005 

Andréka, Hajnalka (with Jonsson, Bjarni; Németi, Istvan) Free algebras in discriminator 
varieties. 92j:08012 

Borner, F. (with Haddad, Lucien; Péschel, Reinhard) Minimal partial clones. 92j:08005 

Clark, D. M. see Adams, M. E., 92c:08005 

Comerford, Leo P., Jr. (with Newman, M. F.) Verbal definitions of operations on groups. 
92i:20035 

Duda, Jaromir Varieties with rectangular ideals. 92e:08008 

Haddad, Lucien (with Rosenberg, Ivo G.; Schweigert, D.) A maximal partial clone and a 
Stupecki-type criterion. 92b:08007 

— see also Borner, F.; et al., 92j:08005 

Harbarth, Juliane A Galois correspondence between equivalence relations and unary 
operations. 92j:06004 

Ihringer, Thomas A remark on clones and permutation groups. 92i:20003 

Jénsson, Bjarni see Andréka, Hajnalka; et al., 92j:08012 

Lau, Dietlinde Kongruenzen auf abgeschlossenen Mengen linearer Funktionen in mehrw- 
ertigen Logiken. [Congruences on closed sets of linear functions in many-valued logics} 
92e:03029 

Németi, Istvan see Andréka, Hajnalka; et al., 92j:08012 

Newman, M. F. see Comerford, Leo P., Jr., 92i:20035 

Péschel, Reinhard see Borner, F.; et al., 92j:08005 

Quackenbush, R. W. (with Rival, Ivan; Rosenberg, Ivo G.) Clones, order varieties, near 
unanimity functions and holes. 92f:06004 

Rival, Ivan see Quackenbush, R. W.; et al., 92f:06004 

Rosenberg, Ivo G. see Haddad, Lucien; et al., 92b:08007 and Quackenbush, R. W.; et al., 
92f:06004 

Schweigert, D. see Haddad, Lucien; et al., 92b:08007 

Vogel, Hans-Jiirgen On clones of relations. 924:08005 


08A45 Equational compactness 


Nauryzbaev, K. A. Equational compactness with an inequality predicate. (Russian) 
92a:08005 


08A50 Word problems [see also 03D40, 06B25, 20F 10, 68R15] 


Dehornoy, Patrick Preuve de la conjecture d’irréflexivité pour les structures distributives 
libres. (English summary) [Proof of the irreflexivity conjecture for free distributive 
structures] 92m:08011 

Vazhenin, Yu. M. Critical theories of some classes of nonassociative rings. (Russian) 
92e:08006 


Items with secondary classifications in 08A50 


Burroni, Albert Higher-dimensional word problem. (see 92g:68005) 
Vinokurov, S. F. Some endomorphisms of free lattices. (Russian) 92a:06006 


08A55 Partial algebras 


Borner, F. (with Haddad, Lucien; Péschel, Reinhard) Minimal partial clones. 92j:08005 

Denecke, Klaus Strong regular varieties of partial algebras. 1. 92e:08007 

— see also Lau, Dietlinde, 92i:08002 

Haddad, Lucien (with Rosenberg, Ivo G.; Schweigert, D.) A maximal partial clone and a 
Stupecki-type criterion. 92b:08007 

— see also Borner, F.; et al., 92j:08005 

Lau, Dietlinde (with Denecke, Klaus) Congruences on maximal partial clones and strong 
regular varieties generated by preprimal partial algebras. I. (German and Russian 
summaries) 92i:08002 

Péschel, Reinhard see Borner, F.; et al., 92j:08005 

Rosenberg, Ivo G. see Haddad, Lucien; et al., 92b:08007 

Schweigert, D. see Haddad, Lucien; et al., 92b:08007 





08A55 


Items with secondary classifications in 08A55 

Haluskova, Emilia (with Jakubikov4-Studenovska, Danica) Partial monounary algebras 
with common quasi-endomorphisms. 92m:08012 

Jakubikovaé-Stud k4, Danica Intervals in partial monounary algebras. (Slovak 
summary) 92k:08003 

— see also Haluskova, Emilia, 92m:08012 

Jarzembski, Grzegorz Programs in partial algebras—a categorical approach. (see 92g:68005) 





08A60 Unary algebras 


Bestsennyi, I. P. Quasi-identities of finite unary algebras. (Russian) 92b:08008 

Bordalo, G. H. Frattini extensions of unary algebras. 92j:08006 

Celakoski, N. see Cupona, G., 92j:08007 

Cupona, G. (with Celakoski, N.) Transformations of Booleans. (Macedonian summary) 
92j:08007 

Haluskova, Emilia (with Jakubikova-Studenovska, Danica) Partial monounary algebras 
with common quasi-endomorphisms. 92m:08012 

Jakubikova-Stud ka, Danica Intervals in partial monounary algebras. (Slovak 
summary) 92k:08003 

— see also Haluskova, Emilia, 92m:08012 

Novotny, Jiti On the characterization of a certain class of monounary algebras. (Russian 
summary) 92c:08008 





Items with secondary classifications in 08A60 

Climent, Joan B. (with Fernandino Larrinaga, Luis) On the relation between heterogeneous 
uniform 2-algebraic closure operators and heterogeneous algebras. 92d:08009 

Dudek, Wiestaw A. Medial n-groups and skew elements. 92b:20094 

Fernandino Larrinaga, Luis see Climent, Joan B., 92d:08009 

Kim, Ju Pil (with Park, Young Soo) Injective hulls of ©-systems over a Clifford semigroup. 
92j:20064 

Kogalovskii, S. R. (with Soldatova, V. V.) Remarks on congruence lattices of universal 
algebras. (Russian) 92b:08004 

Novotny, Miroslav Construction of all strong homomorphisms of binary structures. 
92c:08002 


Park, Young Soo see Kim, Ju Pil, 92j:20064 
Sizyi, S. V. Critical theories of some classes of graphs and unary algebras. (Russian) 
92£:03045 


Soldatova, V. V. see Kogalovskii, S. R., 92b:08004 
Toffalori, Carlo 1-ary functions and the f.c.p. 92h:03047 


08A62 Finitary algebras 

Romanowska, A. B. (with Smith, Jonathan D. H.) On the structure of semilattice sums. 
92b:08009 

Smith, Jonathan D. H. see Romanowska, A. B., 92b:08009 


Items with secondary classifications in 08A62 
Bestsennyi, I. P. Quasi-identities of finite unary algebras. (Russian) 92b:08008 


08A65 Infinitary algebras 


Items with secondary classifications in 08A65 

Gratzer, George (with Lakser, H.) On congruence lattices of m-complete lattices. 
92m:06014 

Lakser, H. see Gratzer, George, 92m:06014 


08A70 Applications of universal algebra in computer science 


Nipkow, Tobias Unification in primal algebras, their powers and their varieties. 92b:08010 
Rosenberg, Ivo G. Mal'cev algebras for universal algebra terms. 92b:08011 


Items with secondary classifications in 08A70 

Cazanescu, Virgil Emil (with Stefanescu, Gheorghe) Classes of finite relations as initial 
abstract data types. I. 92i:68103 

Goguen, Joseph A. see Smolka, Gert; et al., 92e:68117 

Lemke, Thomas (with Seibt, Heinz) On identities of the generalized Turing algebra. II. 
(German and Russian summaries) 92a:03057 

Maczyiski, Maciej J. A theorem on representation of algebraic systems admitting a full set 
numerical functionals. 924:08006 

Massouros, G. G. (with Mittas, Jean) Languages—automata and hypercompositional 
structures. 92g:68081 

Meseguer, José see Smolka, Gert; et al., 92e:68117 

Mittas, Jean see Massouros, G. G., 92g:68081 

Nutt, Werner see Smolka, Gert; et al., 92e:68117 

Pigozzi, Don Equality-test and if-then-else algebras: axiomatization and specification. 
92i:68104 

Pratt, Vaughan Dynamic algebras as a well-behaved fragment of relation algebras. 
92h:03094 

Rodenburg, P. H. Algebraic specifiability of data types with minimal computable parame- 
ters. 921:68106 

Seibt, Heinz see Lemke, Thomas, 92a:03057 

Smolka, Gert (with Nutt, Werner; Goguen, Joseph A.; Meseguer, José) Order-sorted 
equational computation. 92¢e:68117 

Stefanescu, Gheorghe see Cazanescu, Virgil Emil, 92i:68103 


08A99 None of the above, but in this section 


Both, N. see Purdea, I., 92c:08010 
Murali, V. Lattice of fuzzy subalgebras and closure systems in J*. 92a:08006 


GENERAL ALGEBRAIC SYSTEMS 


— Fuzzy congruence relations. 92c:08009 

Purdea, I. (with Both, N.) Natural and logical extensions. 92c:08010 

Wagneur, Edouard Moduloids and pseudomodules. I. Dimension theory. 92i:08003 

Wehrung, Friedrich Gerbes primitives. (English summary) [Primitive left-distributive 
structures] 92i:08004 

Zekovich, B. Universal covering rings of simple generalized rings. (Russian) 92f:08004 

Items with secondary classifications in 08A99 

Gu, Wen Xiang (with Lu, Tu) The isotonic fuzzy algebraic systems. 

Lu, Tu see Gu, Wen Xiang 

Muradov, F. Kh. Superassociative algebras of strongly closed many-place functions. 
(Russian. English and Azerbaijani summaries) 92m:54044 

Raftery, James G. (with Sturm, Teo) Completions of uniform universal algebras and 
strongly uniform BCK-algebras. 92g:06036 

Seelja, Branimir The fuzzy power of algebras. (Serbo-Croatian summary) 92b:04005 

Sturm, Teo see Raftery, James G., 922:06036 


08Bxx Varieties 


Ramalho, Margarita Boolean algebras and distributive lattices in universal algebra. 
(Portuguese) (see 92g:00023) 


08B05 Equational logic, Mal’cev (Mal’tsev) conditions 


Bignall, R. J. Decompositions of dual discriminator varieties. 92h:08001 

Chajda, Ivan Weak coherence of congruences. 92a:08007 

Choban, M. M. (with Kiriyak, L. L.) Equations in universal algebras and their applications 
to the theory of groupoids. (Russian) 92g:08005 

Chromik, Wieslawa Externally compatible identities of algebras. 92g:08006 

Draskovitova, Hilda (with Plonka, Jerzy) Minimal generics of some regular varieties. 
92£:08005 

Duda, Jaromir Varieties with rectangular ideals. 92e:08008 

Graczytiska, Ewa On normal and regular identities. 92d:08013 

Kiriyak, L.L. see Choban, M. M., 92g:08005 

Pinus, A.G. Countable skeletons of embeddability of discriminator varieties. (Russian) 
92g:08007 

Ptonka, Jerzy Biregular and uniform identities of algebras. 92c:08011 

— P-compatible identities and their applications to classical algebras. (Russian summary) 
92g:08008 

— Characteristic algebras in some varieties defined by symmetrically regular identities. 
92j:08008 

— see also Dra&kovitova, Hilda, 92f:08005 

Sabidussi, Gert Gleichungen fiir nichtassoziative Graphenprodukte. (English summary) 
[Equations for nonassociative graph products] 92c:08012 

Weaver, George Equational subsystems. 92f:08006 


Items with secondary classifications in 08B05 


Chajda, Ivan Varieties having distributive lattices of quasiorders. 92b:08012 

— Every at most four element algebra has a Mal’cev theory for permutability. 92i:08001 

Chromik, Wieslawa (with Halkowska, Katarzyna) Subvarieties of the variety defined by 
externally compatible identities of distributive lattices. 92j:08010 

Crvenkovi¢, Siniga (with Madarasz, Rozalia Sz.) On equational base for Kleene relation 
algebras. (see 92m:00061) 

Denecke, Klaus Hyperidentities in multiple-valued logics. 92c:08007 

— Minimal algebras and category equivalences. 92c:08016 

Gilleron, Rémi Decision problems for term rewriting systems and recognizable tree 
languages. 92c:03041 

Graczytiska, Ewa On normal and regular identities and hyperidentities. 92i:08005 

— On some operators on pseudovarieties. 92j:08011 

— An undecidable problem for regular equations. 

Hatkowska, Katarzyna see Chromik, Wiestawa, 92j:08010 

Hentzel, Irvin Roy (with Jacobs, David Pokrass) Proofs for nonidentities using characteris- 
tic functions. 92m:17003 

Idziak, Pawel M. Decision problem for finite equivalential algebras. 

Jacobs, David Pokrass see Hentzel, Irvin Roy, 92m:17003 

Jezek, Jaroslav (with Pudlak, Pavel; Tima, Jiti) On equational theories of semilattices with 
operators. 92d:06021 

Knoebel, Arthur (with Romanowska, A. B.) Distributive multisemilattices. 92g:06008 

Madarasz, Rozalia Sz. see Crvenkovi¢, Sinisa, (92m:00061) 

Pinus, A. G. Intervals and chains in epimorphism skeletons of congruence-distributive 
varieties. (Russian) 92j:08009 

Pudlak, Pavel see Jezek, Jaroslav; et al., 92d:06021 

Romanowska, A. B. (with Smith, Jonathan D. H.) On the structure of semilattice sums. 
92b:08009 

— see also Knoebel, Arthur, 92g:06008 

Sapir, M. V. On Cross semigroup varieties and related questions. 92¢:20106 

— see also Volkov, M. V., 92e:20046 

Smith, Jonathan D. H. see Romanowska, A. B., 92b:08009 

Tama, Jiti see Jezek, Jaroslav; et al., 92d:06021 

Volkov, M. V. (with Sapir, M. V.) HFB property and structure of semigroups. 92e:20046 


08B10 Congruence modularity, congruence distributivity 


Chajda, Ivan Varieties having distributive lattices of quasiorders. 92b:08012 

Dziobiak, Wieslaw Relative congruence distributivity within quasivarieties of nearly 
associative D-algebras. 92¢:08009 

Kearnes, Keith A. Congruence lower semimodularity and 2-finiteness imply congruence 
modularity. 92a:08008 

— Finite algebras that generate an injectively complete modular variety. 92m:08013 





1992 08C Other classes of algebras 


Pinus, A. G. Intervals and chains in epimorphism skeletons of congruence-distributive 
varieties. (Russian) 92j:08009 

— Rich countable epimorphism skeletons of discrimator varieties. (Russian) 92d:08014 

Wang, Ju A proof of the Baker conjecture. (Chinese) 92g:08009 


Items with secondary classifications in 08B10 

Davey, B. A. (with Quackenbush, R. W.; Schweigert, D.) Monotone clones and the varieties 
they determine. 92d:08012 

Denecke, Klaus Minimal algebras and category equivalences. 92c:08016 

Dziobiak, Wiesiaw Finitely generated congruence distributive quasivarieties of algebras. 
92a:08011 

— Finite bases for finitely generated, relatively congruence distributive quasivarieties. 
92h:08003 

Kearnes, Keith A. (with McKenzie, Ralph) Commutator theory for relatively modular 
quasivarieties. 92h:08004 

Lee, Sin-Min On hereditarily simple graph algebras. 92b:08005 

McKenzie, Ralph Some interactions between group theory and the general theory of 
algebras. 92a:08009 

— see also Kearnes, Keith A., 92h:08004 

Quackenbush, R. W. see Davey, B. A.; et al., 92d:08012 

Schweigert, D. see Davey, B. A.; et al., 92d:08012 

Seéelja, Branimir (with Vojvodi¢, Gradimir) CEP and homomorphic images of algebras. 
(Serbo-Croatian summary) 92e:08004 

Vojvodi¢, Gradimir see SeSelja, Branimir, 92e:08004 


08B15 Lattices of varieties 


Chromik, Wiestawa (with Halkowska, Katarzyna) Subvarieties of the variety defined by 
externally compatible identities of distributive lattices. 92j:08010 

Graczytiska, Ewa On normal and regular identities and hyperidentities. 92i:08005 

— On some operators on pseudovarieties. 92j:08011 

Hatkowska, Katarzyna see Chromik, Wiestawa, 92j:08010 

Kiss, Emil W. (with Péschel, Reinhard; Préhle, Péter) Subvarieties of varieties generated 
by graph algebras. 92e:08010 

McKenzie, Ralph Some interactions between group theory and the general theory of 
algebras. 92a:08009 

Péschel, Reinhard see Kiss, Emil W.; et al., 92e:08010 

Prohle, Péter see Kiss, Emil W.; et al., 92e:08010 

Shashkov, O. V. Finite basability of the union of some varieties of algebras. (Russian) 
92c:08013 

Sizyi, S. V. On the lattice of varieties of endographs. (Russian) 92b:08013 

Volkov, M. V. Varieties of rings that are defined by a lattice of subvarieties. (Russian) 
92c:08014 


Items with secondary classifications in 08B15 

Cignoli, Roberto Quantifiers on distributive lattices. 92i:06017 

Cowan, David F. Some infinite chains in the lattice of varieties of inverse semigroups. 
92g:20097 

Erné, Marcel Staircases and a congruence-theoretical characterization of vector spaces. 
924:06017 

Gurchenkov, S. A. The non-Brouwerian property and continuality of the lattice of nilpotent 
l-varieties. (Russian) 92d:06037 

Kang, Young Yug Finitely based modular lattice varieties. 92c:06005 

Knoebel, Arthur (with Romanowska, A. B.) Distributive multisemilattices. 92g:06008 

Romanowska, A. B. see Knoebel, Arthur, 92g:06008 

Sapir, M. V. On Cross semigroup varieties and related questions. 92c:20106 

Volkov, M. V. Commutative semigroup varieties with distributive subvariety lattices. 
92i:20060 


08B20 Free algebras 


Andréka, Hajnalka (with Jonsson, Bjarni; Németi, Istvan) Free algebras in discriminator 
varieties. 92j:08012 

Jénsson, Bjarni see Andréka, Hajnalka; et al., 92j:08012 

Kiriyak, L.L. Methods for constructing some free universal algebras and the solution of 
equations on them. (Russian. English and Moldavian summaries) 92h:08002 

Németi, Istvan see Andréka, Hajnalka; et al., 92j:08012 

Reiterman, J. (with Trnkova, Véra) Free structures. 92m:08014 

Trnkova, Véra see Reiterman, J., 92m:08014 


Items with secondary classifications in 08B20 

Dehornoy, Patrick Preuve de la conjecture d’irréflexivité pour les structures distributives 
libres. (English summary) [Proof of the irreflexivity conjecture for free distributive 
structures] 92m:08011 

Hébert, Michel Sur l’existence des algébres libres pour les théories négatives. (English and 
Serbo-Croatian summaries) [On the existence of free algebras for negative theories] 
92a:03044 

Zaionc, Marek A-definability on free algebras. 92b:03016 


08B25 Products, amalgamated products, and other kinds of limits 
and colimits [see also 18A30] 


Items with secondary classifications in 08B25 

Bignall, R. J. Decompositions of dual discriminator varieties. 92h:08001 

Fried, Ervin (with Gratzer, George) The unique amalgamation property for lattices. 
92m:06015 

Griitzer, George see Fried, Ervin, 92m:06015 

Jones, Peter R. On free products of bands. 92d:20082 


08B26 Subdirect products and subdirect irreducibility 


Wesolowski, Tadeusz Subdirectly irreducible decomposition of some algebras having the 
semilattice structure. (Russian summary) 92c:08015 


Items with secondary classifications in 08B26 

Jezek, Jaroslav Subdirectly irreducible semilattices with an automorphism. 92i:06007 
Knoebel, Arthur (with Romanowska, A. B.) Distributive multisemilattices. 92g:06008 
Romanowska, A. B. see Knoebel, Arthur, 92g:06008 


08B30 Injectives, projectives 


Items with secondary classifications in 08B30 

Banaschewski, B. (with Niefield, S. B.) Projective and supercoherent frames. 92b:06034 

Jespers, Eric Special principal ideal rings and absolute subretracts. 92h:13017 

Kearnes, Keith A. Type preservation in locally finite varieties with the CEP. 92m:08005 

McKenzie, Ralph Congruence extension, Hamiltonian and abelian properties in locally 
finite varieties. 92j:08004 

Niefield, S. B. see Banaschewski, B., 92b:06034 


08B99 None of the above, but in this section 


Items with secondary classifications in 08B99 


Maddux, Roger D. Pair-dense relation algebras. 92c:03070 

Molchanov, V. A. Nonstandard varieties of pseudotopological algebraic systems. (Russian) 
92m:03100 

Rosenberg, Ivo G. Mal’cev algebras for universal algebra terms. 92b:08011 

Wismath, Shelly L. Hyperidentities for some varieties of commutative semigroups. 
92d:20087 

Zamyatin, A. P. Rings with nilpotent elements in varieties with a decidable elementary 
theory. (Russian) 92a:03045 


08Cxx Other classes of algebras 


08C05 Categories of algebras [see also 18C05] 


Bergman, George M. Co-rectangular bands and cosheaves in categories of algebras. 
92k:08004 

Denecke, Klaus Minimal algebras and category equivalences. 92c:08016 

Herrlich, Horst Remarks on categories of algebras defined by a proper class of operations. 
92a:08010 

Koubek, Vaclav (with Sichler, J.) Categorical universality of regular double p-algebras. 
92c:08017 

Novotny, Miroslav Ternary structures and groupoids. 92c:08018 

Sichler, J. see Koubek, Vaclav, 92c:08017 


Items with secondary classifications in 08C05 

Bergman, George M. Actions of Boolean rings on sets. 92g:06021 

Carboni, Aurelio (with Lambek, Joachim; Pedicchio, Maria Cristina) Diagram chasing in 
Mal’cev categories. 92e:18001 

Cazanescu, Virgil Emil (wit Stefanescu, Gheorghe) Classes of finite relations as initial 
abstract data types. I. 92i:68103 

Gierz, Gerhard (with Romanowska, A. B.) Duality for distributive bisemilattices. 
92i:06025 

Lambek, Joachim see Carboni, Aurelio; et al., 92e:18001 

Pedicchio, Maria Cristina see Carboni, Aurelio; et al., 92e:18001 

Romanowska, A. B. see Gierz, Gerhard, 92i:06025 

Stefanescu, Gheorghe see Cazanescu, Virgil Emil, 92i:68103 

Vogel, Hans-Jiirgen On clones of relations. 92d:08005 


08C10 Axiomatic model classes [see also 03Cxx, in particular 
03C60] 


Diers, Yves see Koudsi, Elie, 92b:08014 

Idziak, Pawel M. Sheaves in universal algebra and model theory. 1. 92g:08010a 

— Sheaves in universal algebra and model theory. II. 92g:08010b 

Koudsi, Elie (with Diers, Yves) Booloides. (English summary) [Booloids] 92b:08014 


Items with secondary classifications in 08C10 

Albert, Michael H. Tests for injectivity in finitely generated universal Horn classes. 
92e:03042 

Hébert, Michel Sur l’existence des algébres libres pour les théories négatives. (English and 
Serbo-Croatian summaries) [On the existence of free algebras for negative theories] 
922:03044 

Naturman, Colin (with Rose, Henry) Elementary equivalent pairs of algebras associated 
with sets. 92g:03059 

Rose, Henry see Naturman, Colin, 92g:03059 


08C15 Quasivarieties 

Dziobiak, Wiestaw Finitely generated congruence distributive quasivarieties of algebras. 
92a:08011 

— Finite bases for finitely generated, relatively congruence distributive quasivarieties. 
92h:08003 

Kearnes, Keith A. (with McKenzie, Ralph) Commutator theory for relatively modular 
quasivarieties. 92h:08004 

McKenzie, Ralph see Kearnes, Keith A., 92h:08004 





08C15 


Nurakunov, A. M. Quasivarieties of algebras with definable principal congruences. 
(Russian) 92k:08005 


Items with secondary classifications in 08C15 


Dziobiak, Wieslaw Relative congruence distributivity within quasivarieties of nearly 
associative ®-algebras. 92¢:08009 


08C99 None of the above, but in this section 


Slomiriski, Jézef The cone and forgetful cone varieties and the connections between 
hypervarieties and usual varieties. 92b:08015 


Items with secondary classifications in 08C99 
Graczytiska, Ewa On some operators on pseudovarieties. 92j:08011 


11-XX Number theory 


11-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 
Dilcher, Karl (with Skula, Ladislav; Slavut-skii, I. Sh.) * Bernoulli numbers. 92f:11001 


Skula, Ladislav see Dilcher, Karl; et al., 92f:11001 
Slavut-skii, I. Sh. see Dilcher, Karl; et al., 92f:11001 


Items listed otherwise than by author 
Bibliography: 
Bernoulli numbers see Dilcher, Karl; et al., 92f:11001 
Items with secondary classifications in 11-00 
Index: 
Acta Arith. Conspectus materiae tomorum: LI-LX (1988-1992). 


11-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Feng, Ke Qin (with Yu, Hong Bing) * Chudeng shu lun. (Chinese) [Elementary number 
theory] 92k:11001 

(Hasse, Helmut) see Pieper, Herbert, 92i:11001 

(Hensel, Kurt) see Pieper, Herbert, 92i:11001 

Hlawka, Edmund (with SchoiBengeier, Johannes; Taschner, Rudolf) * Geometric and 
analytic number theory. 92f:11002 

Ireland, Kenneth (with Rosen, Michael I.) * A classical introduction to modern number 
theory. 92e:11001 

Lopez Fernandez-Asenjo, Félix (with Tena Ayuso, Juan) * Introduccién a la teoria de 
numeros primos. (Spanish) [Introduction to the theory of prime numbers] 92g:11001 

Padberg, Friedhelm * Elementare Zahlentheorie. (German) [Elementary number theory] 
92k:11002 

Pieper, Herbert * Zahlen aus Primzahlen. (German) [Numbers from primes] 92i:11001 

(Reichardt, Hans) see Pieper, Herbert, 92i:11001 

Rosen, Michael I. see Ireland, Kenneth, 92e:11001 

SchoiBengeier, Johannes see Hlawka, Edmund; et al., 92f:11002 

Taschner, Rudolf see Hlawka, Edmund; et al., 92f:11002 

Tena Ayuso, Juan see Lépez Fernandez-Asenjo, Félix, 92g:11001 

(Thomas, Charles B.) see Hlawka, Edmund; et al., 92f:11002 

Yu, Hong Bing see Feng, Ke Qin; et al., 92k:11001 


Items listed otherwise than by author 


Biography: 
Hensel, Kurt see Pieper, Herbert, 92i:11001 


Items with secondary classifications in 11-01 

Artin, Michael * Algebra. 92g:00001 

Cao, Zhen Fu * Diufantu fangcheng yinlun. (Chinese) [Introduction to Diophantine 
equations] 92e:11018 

Honsberger, Ross * More mathematical morsels. 92b:00004 

Lorenz, Falke * Einfiihrung in die Algebra. Teil II. (German) [Introduction to algebra. Part 
II] 92j:00006 

Mazur, Barry C. Number theory as gadfly. 92f:11077 

McCarthy, Paul J. * Algebraic extensions of fields. 92a:11138 

Shafarevich, I. R. Abelian and nonabelian mathematics. 92b:01048 

Sivaramakrishnan, R. The many facets of Euler’s totient. I]. Generalizations and analogues. 
92a:11009 

(Zdravkovska, Smilka) see Shafarevich, I. R., 92b:01048 


11-02 Research exposition (monographs, survey articles) 
Erdés, Paul Some of my favourite unsolved problems. 92f:11003 

Guy, Richard K. Unsolved problems. 92h:11001 

— Canadian Number Theory Association unsolved problems 1988. 92g:11002 
Items with secondary classifications in 11-02 

Buell, Duncan A. * Binary quadratic forms. 92b:11021 

(Chirskii, V.G.) see Number theory, 92a:11118a 


Deshouillers, Jean-Marc L’étude des formes cubiques rationnelles via la méthode du cercle 
(d’aprés D. R. Heath-Brown, C. Hooley et R. C. Vaughan). [Study of rational cubic 


GENERAL ALGEBRAIC SYSTEMS 


1992 164 


forms via the circle method (after D. R. Heath-Brown, C. Hooley and R. C. Vaughan)] 
92¢:11105 

Huxley, M. N. Exponential sums after Bombieri and Iwaniec. 92m:11083 

Ireland, Kenneth (with Rosen, Michael I.) * A classical introduction to modern number 
theory. 92e:11001 

Klee, Victor (with Wagon, Stan) * Old and new unsolved problems in plane geometry and 
number theory. 92k:00014 

Pohst, Michael E. (with Zassenhaus, Hans) * Algorithmic algebraic number theory. 
92b:11074 

Rosen, Michael I. see Ireland, Kenneth, 92e:11001 

Wagon, Stan see Klee, Victor, 92k:00014 

Zassenhaus, Hans see Pohst, Michael E., 92b:11074 


Items listed otherwise than by author 


Itogi Nauki i Tekhniki * Teopua uncen. 2. (Russian) [Number theory. 2] 92a:11118a 
Number theory * Teopua uncen. 2. (Russian) [Number theory. 2] 92a:11118a 


11-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Barahona Droguett, Manuel Mathematics and history of mathematics. The number z: seven 
thousand years of mystery. (Spanish) (see 92e:00013) 

(Bernoulli, Jacob I) see Slavut-skii, I. Sh., 92m:11001 

(Gauss, Carl Friedrich) see Ribenboim, Paulo, 92h:11002 

(Kronecker, Leopold) see Vladut, Sergei G., 92g:11003 

(Kummer, Ernst Eduard) see Slavut-skii, I. Sh., 92m:11001 

Ribenboim, Paulo Gauss and the class number problem. 92h:11002 

Schinzel, Andrzej Progress in number theory in the years 1978-1988. (Polish) 92k:11003 

Slavut-skii, I. Sh. Outline of the history of research on the arithmetic properties of Bernoulli 
numbers (von Staudt, Kummer, Voronoi). (Russian) 92m:11001 

(Staudt, K.G.C.) see Slavut-skii, I. Sh., 92m:11001 

(Tsfasman, M. A.) see Viadut, Sergei G., 92g:11003 

Viadut, Sergei G. * Kronecker’s Jugendtraum and modular functions. 92g:11003 

(Voronoi, G. F.) see Slavut-skii, I. Sh., 92m:11001 


Items with secondary classifications in 11-03 


Abdeljaouad, Mahdi (with Hadfi, Hamida) Vers une étude des aspects historiques et 
mathématiques des problémes ouverts d’Ibn al-Khawwam (XIII° s.). [Toward a study of 
the historical and mathematical aspects of the open problems posed by Ibn al-Khawwam 
(XIIIth century)] 92:01006 

Aubert, Karl Egil Diofantiske likninger i norsk matematikk. Ernst S. Selmer 70 ar. 
(Norwegian. English summary) [Diophantine equations in Norwegian mathematics. 
Ernst S. Selmer is 70 years old] 92a:01049 

Bell, E. T. * The last problem. 92b:01005 

Brentjes, Sonja Eine Tabelle mit vollkommenen Zahlen in einer arabischen Handschrift aus 
dem 13. Jahrhundert. [A table with perfect numbers in an Arabic manuscript from the 
13th century] 92d:01007 

Brezinski, Claude * History of continued fractions and Padé approximants. 92c:01002 

Cassels, J. W.S. Obituary of Kurt Mahler. 92g:01069a 

(Chandrasekharan, K.) see Selberg, Atle, 92h:01083 

Dobrovol'skaya, E. M. The development of the study of continued fractions in the XI-XV 
centuries. (Russian) 92k:01007 

Do!d-Samplonius, Yvonne Developments in the solution to the equation cx? + bx = a from 
al-Khwarizmi to Fibonacci. (see 92b:01015) 

(Dudley, Underwood) see Bell, E. T., 92b:01005 

Feng, Ke Qin (with Lu, Hong Wen) Some developments on algebraic number theory in 
China. 92m:11115 

(Gauss, Carl Friedrich) see Waterhouse, William C., 92e:01049 

Gerasim, I.-Kh. I. On the genesis of Rédei’s theory of the equation x? — Dy? = -1. 
(Russian) 92i:01018 

(Germain, Sophie) see Sampson, J. H., 92c:01024 

Gruber, Peter Manfred Zur Geschichte der Konvexgeometrie und der Geometrie der 
Zahlen. [On the history of convex geometry and the geometry of numbers] 92c:01029 

Hadfi, Hamida see Abdeljaouad, Mahdi, 92f:01006 

Hrube3, Jaromir On the history of the solution of equations. (Czech. English summary) 
92b:01006 

(Hua, Luo Geng) see Iyanaga, S., (92g:00027) 

(Ibn al-Khawwam, ‘Abdallah) see Abdeljaouad, Mahdi, 92f:01006 

Iyanaga, S. Professor Hua Loo Keng in Japan. (see 92g:00027) 

(Karamatsu, Yoshikazu) see Morishima, Taro, 92m:01097 

(Lehmer, D. H.) see Bell, E. T., 92b:01005 

Lu, Hong Wen see Feng, Ke Qin; et al., 92m:11115 

(Mahler, Kurt) see Cassels, J. W. S., 92g:01069a 

Matvievskaya, G. P. The theory of quadratic irrationals in medieval oriental mathematics. 
(see 92b:01015) 

(Minkowski, Hermann) see Schwermer, Joachim, 92f:01027 

Morishima, Taro * Collected papers. 92m:01097 

Neukirch, Jiirgen Algebraische Zahlentheorie. [Algebraic number theory] 92a:01057 

Onstad, Torgeir The Fibonacci numbers. (Norwegian. English summary) 92d:11012 

Pfister, Albrecht Quadratische Formen. [Quadratic forms] 92a:01058 

(Rédei, L.) see Gerasim, I.-Kh. I., 92i:01018 

Sampson, J. H. Sophie Germain and the theory of numbers. 92c:01024 

Schroeder, Manfred R. Moderne Anwendungen GauB’scher Konzepte aus der Zahlentheo- 
rie. [Modern applications of Gaussian concepts in number theory] 92f:01026 

Schwarz, Wolfgang Karl Geschichte der analytischen Zahlentheorie seit 1890. [History of 
analytic number theory since 1890] 92c:01039 

Schwermer, Joachim Raumliche Anschauung und Minima positiv definiter quadratischer 
Formen. Zur Habilitation von Hermann Minkowski 1887 in Bonn. [Spatial visualization 
and minima of positive definite quadratic forms. On the habilitation of Hermann 
Minkowski 1887 in Bonn] 92f:01027 





165 1992 


Selberg, Atle * Collected papers. Vol. I. 92h:01083 

(Selmer, Ernst S.) see Aubert, Karl Egil, 92a:01049 

Sesiano, Jacques Two problems of number theory in Islamic times. 92g:01016 

Sivaramakrishnan, R. The many facets of Euler’s totient. II. Generalizations and analogues. 
92a:11009 

Spalt, Detlef D. Die mathematischen und philosophischen Grundlagen des WeierstraBschen 
Zahlbegriffs zwischen Bolzano und Cantor. [The mathematical and philosophical 
foundations of Weierstrass’ concept of number, between Bolzano and Cantor] 92¢:01048 

Waterhouse, William C. An elementary interpretation of Entry 12 in Gauss’s Tagebuch. 
(German summary) 92¢:01049 


Items listed otherwise than by author 
Bibliography: 

Morishima, Taro see Morishima, Taro, 92m:01097 
Biography: 

Morishima, Taro see Morishima, Taro, 92m:01097 

Rédei, Laszl6 see Gerasim, I.-Kh. I., 92i:01018 
Obituary: 

Mahler, Kurt see Cassels, J. W. S., 92g:01069a 


11-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Hollinger, C. (with Serf, P.) SIMATH—a computer algebra system. 92m:11002 
Serf, P. see Hollinger, C., 92m:11002 


Items with secondary classifications in 11-04 


von Schmettow, J. Graf KANT—a tool for computations in algebraic number fields. 
92m:11151 


11-06 Proceedings, conferences, collections, etc. 


(Bergum, G. E.) see Applications of Fibonacci numbers, 92e:11002 

(Chudnovsky, David V.) see Number theory, 92c:11001 

(Chudnovsky, Gregory V.) see Number theory, 92c:11001 

(Cohn, Harvey) see Number theory, 92c:11001 

(Grytczuk, Aleksander) see Proceedings: Mathematical Conference, 92b:11001 

(Horadam, Alwyn F.) see Applications of Fibonacci numbers, 92e:11002 

(Mollin, Richard A.) see Number theory, 92a:11001 and Number theory and applications, 
92c:11002 

(Nathanson, Melvyn B.) see Number theory, 92c:11001 

(Philippou, Andreas N.) see Applications of Fibonacci numbers, 92e:11002 


Items listed otherwise than by author 

Algebraic number theory * Daisiteki seis’ ron. (Japanese) [Algebraic number theory] 
92i:11002 

Applications of Fibonacci numbers * Applications of Fibonacci numbers. Vol. 3. 92¢:11002 

Banff, AB * Number theory and applications. 92¢:11002 

— * Number theory. 92a:11001 

Conference: 
Arithmetic * Journées Arithmétiques. 1989. (French) [Conference on Arithmetic. 1989] 

92i:11003 
Canadian Number Theory Association * Number theory. 92a:11001 
Fibonacci Numbers and their Applications * Applications of Fibonacci numbers. Vol. 3. 
92e:11002 

Mathematical * Proceedings of the Regional Mathematical Conference. 92b:11001 

Courbes modulaires et courbes de Shimura * Courbes modulaires et courbes de Shimura. 
(French) [Modular curves and Shimura curves] 92g:11004 

Kalsk * Proceedings of the Regional Mathematical Conference. 92b:11001 

Luminy * Journées Arithmétiques. 1989. (French) [Conference on Arithmetic. 1989] 
92i:11003 

Modular curves and Shimura curves * Courbes modulaires et courbes de Shimura. (French) 
[Modular curves and Shimura curves] 92g:11004 

NATO Advanced Study Institute: 
Number Theory and Applications * Number theory and applications. 92c:11002 

New York * Number theory. 92c:11001 

Number theory * Number theory. 92a:11001 

—* Number theory. 92c:11001 

— * Théorie des nombres. Années 1989/90-1990/91. (French) [Number theory. 1989/90- 
1990/91] 92h:11003 

Number theory and applications * Number theory and applications. 92c:11002 

Orsay * Courbes modulaires et courbes de Shimura. (French) [Modular curves and 
Shimura curves] 92g:11004 

Pisa * Applications of Fibonacci numbers. Vol. 3. 92e:11002 

Proceedings: 


Mathematical Conference * Proceedings of the Regional Mathematical Conference. 
92b:11001 


Research on automorphic forms and zeta functions * Hokei keishiki to zéta-kansii' no kenkyu. 


(Japanese) [Research on automorphic forms and zeta functions] 92d:11001 
Seminar: 
Diophantine Approximation * Diofantasu kinjiron semina. (Japanese) [Seminar on 
Diophantine Approximation] 92i:11004 
Modular Curves, Shimura Curves and Galois Representations * Courbes modulaires et 
courbes de Shimura. (French) [Modular curves and Shimura curves] 92g:11004 
Number Theory * Number theory. 92c:11001 
Symposium: 
Algebraic Number Theory * Daisiteki seisi ron. (Japanese) [Algebraic number theory] 
92i:11002 
Research on Automorphic Forms and Zeta Functions * Hokei keishiki to zéta-kans0 no 
kenkya. (Japanese) [Research on automorphic forms and zeta functions] 92d:11001 


NUMBER THEORY 


11A05 


Théorie des nombres * Théorie des nombres. Années 1989/90-1990/91. (French) [Number 
theory. 1989/90-1990/91] 92h:11003 

Yokohama * Diofantasu kinjiron semina. (Japanese) [Seminar on Diophantine Approxi- 
mation] 92i:11004 


Items with secondary classifications in 11-06 

(Baker, Alan) see Tribute to Paul Erdés, 92b:00053 

(Bollobas, Béla) see Tribute to Paul Erdés, 92b:00053 

(Cartier, Pierre) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 
(Erdés, Paul) see Tribute to Paul Erdés, 92b:00053 

(Gong, Sheng) see Symposium: Hua, Luo Geng, 92g:00027 

(Hajnal, Andras) see Tribute to Paul Erdés, 92b:00053 

(Hua, Luo Geng) see Symposium: Hua, Luo Geng, 92g:00027 

(Ilusie, Luc) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 
(Katz, Nicholas M.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 
(Langlands, Robert P.) see Zeta functions of Picard modular surfaces, 92m:14001 
(Laumon, G.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 
(La, Qi Keng) see Symposium: Hua, Luo Geng, 92g:00027 

(Manin, Yu. I.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 
(Pethé, Attila) see Computational number theory, 92i:11131 

(Pohst, Michael E.) see Computational number theory, 92i:11131 

(Ramakrishnan, Dinakar) see Zeta functions of Picard modular surfaces, 92m:14001 
(Ribet, Kenneth A.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 
(Wang, Yuan') see Symposium: Hua, Luo Geng, 92g:00027 

(Williams, Hugh Cowie) see Computational number theory, 92i:11131 

(Yang, Le) see Symposium: Hua, Luo Geng, 92g:00027 

(Zimmer, Horst Ginter) see Computational number theory, 92i:11131 


Items listed otherwise than by author 
Beijing * International Symposium in Memory of Hua Loo Keng. Vol. I. 92g:00027 
Birthday: 
Erdés, Paul * A tribute to Paul Erdés. 92b:00053 
Grothendieck, Alexander * The Grothendieck Festschrift. Vol. II. 92b:00051 
— * The Grothendieck Festschrift. Vol. III. 92b:00052 
Cochin * Proceedings of the Symposium on Algebra and Number Theory. 92m:00056 
Colloquium: 
Computational Number Theory * Computational number theory. 92i:11131 
Computational number theory * Computational number theory. 92i:11131 
Debrecen * Computational number theory. 92i:11131 
Festschrift: 
Grothendieck, Alexander * The Grothendieck Festschrift. Vol. II. 92b:00051 
— * The Grothendieck Festschrift. Vol. III. 92b:00052 
Proceedings: 
Symposium on Algebra and Number Theory * Proceedings of the Symposium on Algebra 
and Number Theory. 92m:00056 
Progress in Mathematics * The Grothendieck Festschrift. Vol. I]. 92b:00051 
— * The Grothendieck Festschrift. Vol. II]. 92b:00052 
Symposium: 
Algebra and Number Theory * Proceedings of the Symposium on Algebra and Number 
Theory. 92m:00056 
Hua, Luo Geng * International Symposium in Memory of Hua Loo Keng. Vol. I. 
92g:00027 
Tribute to Paul Erdés * A tribute to Paul Erdés. 92b:00053 
Zeta functions of Picard modular surfaces * The zeta functions of Picard modular surfaces. 
92m:14001 


11Axx Elementary number theory {For analogues in 
number fields, see 11R04.} 


Items with secondary classifications in 1 1Axx 

Feng, Ke Qin (with Yu, Hong Bing) * Chudeng shu lun. (Chinese) [Elementary number 
theory] 92k:11001 

Yu, Hong Bing see Feng, Ke Qin; et al., 92k:11001 


11A05 Multiplicative structure; Euclidean algorithm; greatest 
common divisors 


Beslin, Scott J. Reciprocal GCD matrices and LCM matrices. 92e:11003 

Fraenkel, Aviezri S. (with Porta, Horacio A.; Stolarsky, Kenneth B.) Some arithmetical 
semigroups. 92h:11004 

(Kemp, Paula A.) see Comment on the article: “A conjecture of Graham concerning greatest 
common divisors” by P. A. Kemp 

PaStéka, Milan (with Salat, Tibor) On logarithms of rational numbers. (Russian and Slovak 
summaries) 92a:11002 

Porta, Horacio A. see Fraenkel, Aviezri S.; et al., 92h:11004 

Salat, Tibor see Pastéka, Milan, 92a:11002 

Stolarsky, Kenneth B. see Fraenkel, Aviezri S.; et al., 92h:11004 


Items listed otherwise than by author 

Comment on the article: “A conjecture of Graham concerning greatest common divisors” by P. 
A. Kemp Comment on the article: “A conjecture of Graham concerning greatest common 
divisors” [Nieuw Arch. Wisk. (4) 8 (1990), no. 1, 61-62; MR 91e:11003] by P. A. Kemp. 


Items with secondary classifications in 11A05 


Ando, Shiro (with Sato, Daihachiro) Translatable and rotatable configurations which give 
equal product, equal GCD and equal LCM properties simultaneously. 92i:11026 

Knopfmacher, Arnold (with Knopfmacher, John) Maximum length of the Euclidean 
algorithm and continued fractions in F(x). 92f:11039 





11A05 


Knopfmacher, John see Knopfmacher, Arnold, 92f:11039 

Kulosman, Hamid The number of equivalence classes of the relation Icm(x, ) = Icm(y, n) 
on the set {1,2,---,}. (Serbo-Croatian summary) 92h:11005 

Sato, Daihachiro see Ando, Shiro, 92i:11026 

Singh, Surya Narain A generalized study on divisibility. I, II. 


11A07 Congruences; primitive roots; residue systems 


Bui Minh Phong Multiplicative functions satisfying a congruence property. III. 92k:11004 

Coster, Matthijs J. Supercongruences. 92b:11002 

Ishikawa, Tsuneo Super congruence for the Apéry numbers. 92d:11002 

Joé6, Istvan On generalized Lucas pseudoprimes. 92f:11004 

Ku, Y. H. (with Sun, Xiaoguang) The Chinese remainder theorem. 92k:11005 

Le, Mao Hua A property of product fields. (Chinese) 

Lehmer, D. H. The number of solutions of a certain congruence involving the sum of like 
powers. 92f:11005 

Singh, D. N. Congruence considerations in Diophantine analysis. 92f:11006 

Singh, Sahib On a Hoggatt-Bergum paper with totient function approach for divisibility 
and congruence relations. 92¢:11004 

Smarandache, F. Characterization of N prime numbers simultaneously. 92i:11005 

Strunkov, S. P. A generalization of Fermat's little theorem. (Russian) 92k:11006 

Sun, Xiaoguang see Ku, Y. H., 92k:11005 

Sun, Zhi Wei A theorem concerning systems of residue classes. 92f:11007 

— On a generalization of a conjecture of Erdés. (Chinese summary) 92f:11008 

Vantieghem, E. On a congruence only holding for primes. 92¢:11005 

Wang, Shu Qin An investigation of solutions to x" =a (mod m) in elementary number 
theory. (Chinese. English summary) 92g:11005 

Zhang, Ming Zhi A note on covering systems of residue classes. (Chinese. English summary) 
92c:11003 

— A note on the congruence 2”~? = 1 (mod n). (Chinese. English summary) 92b:11003 

— Irreducible systems of residue classes that cover every integer exactly m times. (Chinese. 
English summary) 92j:11001 


Items with secondary classifications in 11A07 


Bui Minh Phong see Jo6, Istvan, 92d:11109 

Chalk, J. H.H. A p-adic approach to solutions of a polynomial congruence modulo p*. 
92h:11106 

Ekedahl, Torsten An infinite version of the Chinese remainder theorem. 92h:11027 

Haukkanen, Pentti (with McCarthy, Paul J.) Sums of values of even functions. 92f:11010 

Jo6, Istvin (with Bui Minh Phong) On super Lehmer pseudoprimes. 92d:11109 

Kellerer, Hans? (with Wirsching, Giinther) Prime covers and periodic patterns. 92d:11007 

McCarthy, Paul J. see Haukkanen, Pentti, 92f:11010 

Morain, Francois On the Icm of the differences of eight primes. 92a:11011a 

— Corrigenda: “On the Icm of the differences of eight primes”. 92a:11011b 

Shparlinskii, I. E. On the distribution of values of recurring sequences and the Bell numbers 
in finite fields. 92a:11021 

Simpson, R. Jamie (with Zeilberger, Doron) Necessary conditions for distinct covering 
systems with square-free moduli. 92i:11014 

Wall, Charles R. Terminating decimals in the Cantor ternary set. 92e:11009 

Wirsching, Ginther see Kellerer, Hans”, 92d:11007 

Zeilberger, Doron see Simpson, R. Jamie, 92i:11014 


11A15 Power residues, reciprocity 
Rousseau, George Exterior algebras and the quadratic reciprocity law. 92¢:11006 


Items with secondary classifications in 11A15 

Cao, Yu Shu On the Diophantine equation X? = Dy‘ + 4. (Chinese. English summary) 
92e:11022 

Ito, Hiroshi A note on Dedekind sums. 92d:11043 

Kronheimer, Peter B. (with Larsen, Michael Jeffrey; Scherk, J.) Casson’s invariant and 
quadratic reciprocity. 92g:57028 

Larsen, Michael Jeffrey see Kronheimer, Peter B.; et al., 92g:57028 

Scherk, J. see Kronheimer, Peter B.; et al., 92g:57028 

Wang, Jun On the Jacobi sums modulo P". 92g:11120 

Zhang, Ming Zhi A note on the congruence 2"-? = 1 (mod n). (Chinese. English summary) 
92b:11003 


11A25 Arithmetic functions; related numbers; inversion formulas 


Amer, Mahmoud Abdel-Hamid On arithmetical functions over Gaussian integers having 
constant values in some domain. 92f:11009 

(Atanassov, Krassimir T.) see Sandor, Jézsef 

Bhowmik, Gautami Completely multiplicative arithmetical functions of matrices and 
certain partition identities. 92m:11003 

Breitenfeliner, H. A unified Mébius inversion formula. 924:11003 

Brent, Richard P. (with Cohen, G. L.; te Riele, H. J.J.) Improved techniques for lower 
bounds for odd perfect numbers. 92c:11004 

Bui Minh Phong Multiplicative functions satisfying a congruence property. (see 92b:11001) 

Choubey, J. On convolution in context of number theory. 

Cohen, G. L. see Brent, Richard P.; et al., 92c:11004 

Cooper, Curtis N. see Kennedy, Robert E., 92c:11007 

Daréczy, Z. (with Katai, Imre) Characterization of pairs of additive functions with some 
regularity property. 92a:11003 

De Koninck, Jean-Marie (with Mercier, Armel) Fonctions arithmétiques tronquées. 
[Truncated arithmetical functions] 92k:11007 

Dow, John D. see Ren, Shang Yuan, 92b:11004 

Fejes Toth, Laszl6 * Some remarks on a generalization of Euler’s g function. 92i:11006 

— see also Schwab, Emil Daniel, 92g:11006 

Flammenkamp, Achim New sociable numbers. 92a:11004 


NUMBER THEORY 


Fonseca, Philippina see Siva Rama Prasad, V., 92m:11006 

Haukkanen, Pentti (with Rutkowski, Jerzy) On the usual product of rational arithmetic 
functions. 92¢:11005 

— (with McCarthy, Paul J.) Sums of values of even functions. 92f:11010 

Hildebrand, Adolf Characterizations of the logarithm as an additive arithmetic function. 
92c:11006 

Indlekofer, Karl-Heinz (with Katai, Imre) Multiplicative functions with small increments. 
I. 92e:11007 

Katai, Imre see Daréczy, Z., 92a:11003 and Indlekofer, Karl-Heinz, 92e:11007 

Kennedy, Robert E. (with Cooper, Curtis N.) On the right-minimums of an arithmetical 
function. 92c:11007 

Kulikov, I. V. On the consistency of systems of stationary inequalities. (Russian) 92a:11005 

Kulosman, Hamid The number of equivalence classes of the relation Icm(x, ) = Icm(y, m) 
on the set {1,2,---,}. (Serbo-Croatian summary) 92h:11005 

Margenstern, Maurice Les nombres pratiques: théorie, observations et conjectures. (English 
summary) [Practical numbers: theory, observations and conjectures] 92a:11006 

Maxsein, Thomas see Schwarz, Wolfgang Karl; et al., 92j:11002 

McCarthy, Paul J. Generating functions of some products of arithmetical functions. 
92a:11007 

— see also Haukkanen, Pentti, 92f:11010 

Mercier, Armel see De Koninck, Jean-Marie, 92k:11007 

Peretti, A. Errata: “There are only five Fermat primes” [Bull. Number Theory Related 
Topics 11 (1987), no. 1-3, 167-174; MR 90j:11010]. 

Rahman, Fazal A new proof of the product of divisors formula. 92m:11004 

Ren, Shang Yuan (with Dow, John D.) Generalized Mobius transforms for inverse 
problems. 92b:11004 

te Riele, H. J. J. see Brent, Richard P.; et al., 92c:11004 

van Rossum-Wijsmuller, Marijke Additive functions on the Gaussian integers. 92f:11011 

Rutkowski, Jerzy see Haukkanen, Pentti, 92c:11005 

Ruzsa, Imre Z. (with Tijdeman, R.) On the difference of integer-valued additive functions. 
92m:11005 

Sandor, Jézsef On Jordan’s arithmetical function. 92a:11008 

— Remarks on two papers by K. T. Atanassov: “New integer functions, related to g and a 
functions” [Bull. Number Theory Related Topics 11 (1987), no. 1-3, 3-26; MR 90j:11007] 
and “One extremal problem. IV” [ibid. 11 (1987), no. 1-3, 64-71; MR 90k:11022). 

— Note on the functions o and 9. 

— On the arithmetical function d,(n). 92d:11004 

Schwab, Emil (with Schwab, Emil Daniel) * Total additivity and summation function. 
92:11012 

Schwab, Emil Daniel (with Fejes Toth, Laszl6) * On some elementary number-theoretic 
inequalities involving the Dirichlet convolution. 92g:11006 

— see also Schwab, Emil, 92f:11012 

Schwarz, Wolfgang Karl (with Maxsein, Thomas; Smith, Paul R.) An example for 
Gel'fand’s theory of commutative Banach algebras. 92j:11002 

Sita Ramaiah, V. (with Subbarao, M. V.) Convolutions with unbounded unity. 92j:11003 

— (with Subbarao, M. V.) Ona class of y-products preserving multiplicativity. 92h:11006 

Sivaramakrishnan, R. The many facets of Euler’s totient. II. Generalizations and analogues. 
92a:11009 

Siva Rama Prasad, V. (with Fonseca, Philippina) On the iterates of arithmetic functions in 
aclass. 92m:11006 

Smith, Paul R. see Schwarz, Wolfgang Karl; et al., 92j:11002 

Starni, Paolo On the Euler’s factor of an odd perfect number. 92a:11010 

Subbarao, M. V. (with Yip, L.-W.) On Sierpitiski’s conjecture concerning the Euler totient. 
92j:11004 

— see also Sita Ramaiah, V., 92h:11006 and 92j:11003 

Subrahmanya Sastri, V. V. see Vasu, A. C.; et al., 92b:11005a and 92b:11005b 

Szabé. Tamas Zoltan On completely additive functions. 92h:11007 

Tijdeman, R. see Ruzsa, Imre Z., 92m:11005 

Vasu, A.C. (with Subrahmanya Sastri, V. V.; Venkataraman, C. S.) On a new class of 
convolutions and Euler products. 92b:11005a 

— (with Subrahmanya Sastri, V. V.; Venkataraman, C. S.) Corrigenda to: “On a new class of 
convolutions and Euler products”. 92b:11005b 

Venkataraman, C.S. see Vasu, A. C.; et al., 92b:11005a and 92b:11005b 

Yip, L.-W. see Subbarao, M. V., 92j:11004 


Items with secondary classifications in 11A25 

Amer, Mahmoud Abdel-Hamid see Katai, Imre, 92d:11107 

Atanassov, Krassimir T. see Parashkevov, A.; et al. 

Bakas, Ioannis (with Bowick, Mark J.) Curiosities of arithmetic gases. 92d:82007 

Beslin, Scott J. Reciprocal GCD matrices and LCM matrices. 92e:11003 

Bianchi, Maria Grazia (with Gillio Berta Mauri, A.; Verardi, Libero) On the surjectivity of 
the Mébius function y of a finite group. (Italian summary) 92k:20035 

Bowick, Mark J. see Bakas, Ioannis, 92d:82007 

Bui Minh Phong Multiplicative functions satisfying a congruence property. III. 92k:11004 

Chen, Nan Xian (with Ren, Guang Bao) Inverse problems on Fermi systems and ionic 
crystals. 92h:82023 

Cummings, L. J. (with Mays, Michael E.) On the parity of the Witt formula. 92i:05016 

Dobrev, S. see Parashkevov, A.; et al. 

Erdés, Paul (with Kiss, Péter; Pomerance, Carl) On prime divisors of Mersenne numbers. 
92d:11104 

Gillio Berta Mauri, A. see Bianchi, Maria Grazia; et al., 92k:20035 

Gospodinov, K. see Parashkevov, A.; et al. 

Hayashi, Mitsutoshi On the arithmetic functions and the discrete difference equations. 
92a:39001 

Howie, John M. (with Selfridge, J. L.) A semigroup embedding problem and an arithmeti- 
cal function. 92b:20085 

Katai, Imre (with Amer, Mahmoud Abdel-Hamid) Multiplicative functions over the 
Gaussian integers. III. 92d:11107 

Kiss, Péter see Erdés, Paul; et al., 92d:11104 





167 1992 


Kunth, P. (with Maxsein, Thomas) The essential supremum for arithmetical almost-even 
functions. 92i:11109 

Maxsein, Thomas see Kunth, P., 92i:11109 

Mays, Michael E. see Cummings, L. J., 92i:05016 

Mijajlovi¢, Z. On some formulas involving !n and the verification of the !n-hypothesis by use 
of computers. 924:11134 

Nedelchev, I. see Parashkevov, A.; et al. 

Parashkevov, A. (with Nedelchev, I.; Atanassov, Krassimir T.; Gospodinov, K.; Radev, R.; 
Dobrev, S.) Announcement: arithmetical functions program package. 

Pomerance, Carl see Erdés, Paul; et al., 92d:11104 

Radev, R. see Parashkevov, A.; et al. 

Ren, Guang Bao see Chen, Nan Xian, 92h:82023 

Sandor, Jézsef Corrections to: “Some arithmetic inequalities” [Bull. Number Theory 
Related Topics 11 (1987), no. 1-3, 149-161; MR 90e:11142]. 

Selfridge, J. L. see Howie, John M., 92b:20085 

Shanks, Daniel Euclid’s primes. 92f:11013 

Singh, Sahib On a Hoggatt-Bergum paper with totient function approach for divisibility 
and congruence relations. 92e:11004 

Steiner, F. On the relation between the phonon spectrum and the specific heat. 92j:82065 

Verardi, Libero see Bianchi, Maria Grazia; et al., 92k:20035 

Walum, Herbert Multiplication formulae for periodic functions. 92¢:11019 


11A41 Primes 


Barozzi, Giulio Cesare A conjecture about primes. (Italian) 92i:11007 

Bauer, Jean-Pierre Sur un probléme equivalent au probléme des nombres premiers 
jumeaux. [On a problem equivalent to that of twin primes] 92j:11005 

Keller, Wilfrid Woher kommen die gréBten derzeit bekannten Primzahlen? [Whence come 
the largest presently known primes?] 92j:11006 

Morain, Francois On the Icm of the differences of eight primes. 92a:11011a 

— Corrigenda: “On the Icm of the differences of eight primes”. 92a:11011b 

Ribenboim, Paulo * The little book of big primes. 92i:11008 


Items with secondary classifications in 11A41 


Lépez Ferndndez-Asenjo, Félix (with Tena Ayuso, Juan) * Introduccién a la teoria de 
numeros primos. (Spanish) [Introduction to the theory of prime numbers] 92g:11001 

Peretti, A. Errata: “There are only five Fermat primes” [Bull. Number Theory Related 
Topics 11 (1987), no. 1-3, 167-174; MR 90j:11010). 

Shiu, P. The intermediate value theorem and the density of prime numbers. 92e:11093 

Smarandache, F. Characterization of N prime numbers simultaneously. 92i:11005 

Tena Ayuso, Juan see Lépez Fernandez-Asenjo, Félix, 92g:11001 

Vantieghem, E. On a congruence only holding for primes. $2e:11005 


11A51 Factorization; primality 


Arya, Shashi Prabha More about Fermat numbers. 

Greenwell, Raymond N. see Landman, Bruce M., 92j:11007 

Henriques, J. Marques Some elementary questions associated with pseudoprimes and 
algorithms for determining them in APL. (Portuguese. English summary) (see 92m:00052) 

Kang, Shin Won On the primality of the numbers M;,,, and N;,,. 92h:11008 

Landman, Bruce M. (with Greenwell, Raymond N.) Multiplicative partitions of bipartite 
numbers. 92j:11007 

Shanks, Daniel Euclid’s primes. 92f:11013 


Items with secondary classifications in 11A51 


Bach, Eric Toward a theory of Pollard’s rho method. 92a:11151 

Balasubramanian, Ramachandran (with Murty, Maruti Ram) Elliptic pseudoprimes. II. 
92f:11076 

Dodd, Fred (with Peele, Rhodes) Some counting problems involving the multinomial 
expansion. 924:11015 

Keller, Wilfrid Woher kommen die gréBten derzeit bekannten Primzahlen? [Whence come 
the largest presently known primes?] 92j:11006 

Lenstra, Arjen K. Primality testing. 92g:11123 

Murty, Maruti Ram see Balasubramanian, Ramachandran, 92f:11076 

Namba, Kanji Legendre polynomial over finite fields and factorization of integers. 
92j:11056 

Peele, Rhodes see Dodd, Fred, 92d:11015 

Pu, Viadimir Combinatorial properties of products of graphs. 92¢:20048 

Ribenboim, Paulo * The little book of big primes. 92i:11008 


11A55 Continued fractions {For approximation results, see 
11J70; see also 11K50, 30B70, 40A15.} 


Azukawa, Kazuo (with Yuzawa, Tsuyoshi) A remark on the continued fraction expansion of 
conjugates of the golden section. 92e:11008 

Bateman, Roger A. (with Clark, Elizabeth A.; Hancock, Michael L.; Reiter, Clifford A.) The 
period of convergents modulo m of reduced quadratic irrationals. 92f:11014 

Clark, Elizabeth A. see Bateman, Roger A.; et al., 92f:11014 

Friesen, Christian Legendre symbols and continued fractions. 92m:11007 

Halter-Koch, Franz Continued fractions of given symmetric period. 92k:11008 

Hancock, Michael L. see Bateman, Roger A.; et al., 92f:11014 

Hensley, Douglas The largest digit in the continued fraction expansion of a rational number. 
92i:11009 

Masson, David R. A generalization of Ramanujan’s best theorem on continued fractions. 
92i:11010 

van der Poorten, Alfred J. Fractions of the period of the continued fraction expansion of 
quadratic integers. 92g:11007 

Reiter, Clifford A. see Bateman, Roger A.; et al., 92f:11014 

Yuzawa, Tsuyoshi see Azukawa, Kazuo, 92e:11008 


11A Elementary number theory 


11A63 


Zhang, Liang Cheng q-difference equations and Ramanujan-Selberg continued fractions. 
92j:11008 


Items with secondary classifications in 11A55 


Akritas, Alkiviadis G. (with Bradford, P.G.) The role of the Fibonacci sequence in the 
isolation of the real roots of polynomial equations. 92k:12001 

Allouche, Jean-Paul (with Mendés France, Michel; van der Poorten, Alfred J.) An infinite 
product with bounded partial quotients. 92k:11074 

Bradford, P.G. see Akritas, Alkiviadis G., 92k:12001 

Brezinski, Claude * History of continued fractions and Padé approximants. 92c:01002 

Brown, Tom C. A characterization of the quadratic irrationals. 92c:11020 

Castellanos, Dario A generalization of a result of Shannon and Horadam. 92a:11015 

Corless, R. M. (with Frank, G. W.; Monroe, J. Graham) Chaos and continued fractions. 
92c:58074 

Darmon, Henri (with McKay, John) A continued fraction and permutations with fixed 
points. 92a:05003 

Denis, Remy Y. On basic hypergeometric functions and continued fractions. 92m:33032 

— On generalization of continued fraction of Gauss. 92b:33046 

— On generalization of certain continued fractions. 92b:33045 

Dubois, Eugene (with Levesque, Claude) On determining certain real quadratic fields 
with class number one and relating this property to continued fractions and primality 
properties. 92k:11117 

de Faria Campos, Edison Fibonacci numbers, binomial coefficients and continued fractions. 
(Spanish) (see 92e:00013) 

Flajolet, Philippe see Vallée, Brigitte, 92m:11153 

Frank, G. W. see Corless, R. M.; et al., 92c:58074 

Golubeva, E. P. Indefinite binary quadratic forms with a large number of classes. (Russian) 
92e:11030 

Hara-Mimachi, Yuko (with Ito, Shunji) A characterization of real quadratic numbers by 
Diophantine algorithms. 92i:11073 

Ito, Shunji (with Yasutomi, Shin-ichi) On continued fractions, substitutions and character- 
istic sequences [nx + y] —[(m — 1)x + y]. 92g:11071 

— (with Kasahara, Kenkiti) On Morimoto algorithm in Diophantine approximation. 
92i:11074 

— see also Hara-Mimachi, Yuko, 92i:11073 

Kasahara, Kenkiti see Ito, Shunji, 92i:11074 

Knopfmacher, Arnold (with Knopfmacher, John) Maximum length of the Euclidean 
algorithm and continued fractions in F(x). 92f:11039 

— (with Lubinsky, D. S.) Nonnormality of continued fraction partial quotients modulo q. 
92d:11082 

— The length of the continued fraction expansion for a class of rational functions in F,(X). 
92¢:11144 

Knopfmacher, John see Knopfmacher, Arnold, 92f:11039 

Levesque, Claude see Dubois, Eugene, 92k:11117 

Lu, Hong Wen Hirzebruch sums and Hecke operators. 92f:11153 

Labinsky, D.S. see Knopfmacher, Arnold, 92d:11082 

Masson, David R. Wilson polynomials and some continued fractions of Ramanujan. 
92h:33015 

McKay, John see Darmon, Henri, 92a:05003 

Mendes France, Michel see Allouche, Jean-Paul; et al., 92k:11074 

Mollin, Richard A. (with Williams, Hugh Cowie) Powers of 2, continued fractions, and 
the class number one problem for real quadratic fields Q(Vd), with d = 1 (mod 8). 
92m:11119 

— (with Williams, Hugh Cowie) On a determination of real quadratic fields of class number 
one and related continued fraction period length less than 25. 92c:11113 

— An efficient method for the determination of certain real quadratic fields of class number 
one. 92k:11118 

Monroe, J.Graham see Corless, R. M.; et al., 92c:58074 

van der Poorten, Alfred J. see Allouche, Jean-Paul; et al., 92k:11074 

Richert, Norman Strang’s strange figures. 92m:26001 

Singh, Surya Narain Certain results involving continued fractions. 92e:33019 

Tamura, Jun-ichi Symmetric continued fractions related to certain series. 92f:11095 

Tilborghs, Francis Periodic p-adic continued fractions. 92e:11139 

Vallée, Brigitte (with Flajolet, Philippe) The lattice reduction algorithm of Gauss: an 
average case analysis. 92m:11153 

Wada, Kouichi Construction of quadratic irrational numbers with the continued fraction 
expansions of fixed periods and Eisenstein’s problem. 92f:11043 

Williams, Hugh Cowie see Mollin, Richard A., 92c:11113 and 92m:11119 

Yasutomi, Shin-ichi see Ito, Shunji, 92g:11071 

Yasutomi, Shin’ichi On the Markov word property. (Japanese) 92m:68049 


11A63 Radix representation; digital problems {For metric results, 
see 11K16.} 


Bogmér, A. (with Horvath, Miklés; Sévegjart6, A.) On some problems of I. Jo6. 92m:11008 

Horadam, Alwyn F. see Shannon, A. G., 92a:11012 

Horvath, Miklés see Bogmér, A.; et al., 92m:11008 

Kano, Hiroyuki? On the sums of digits in integers. 92m:11009 

Korec, Ivan Palindromic squares for various number system bases. 92m:11010 

Shannon, A. G. (with Horadam, Alwyn F.) Generalized staggered sums. 92a:11012 

Singh, Surya Narain A generalized study on divisibility. I, II. 

Sévegjarté, A. see Bogmér, A.; et al., 92m:11008 

Stadje, Wolfgang Konvergenz von Teilen der harmonischen Reihe. [Convergence of parts of 
the harmonic series] 92h:11009 


Items with secondary classifications in 11A63 

Bicknell-Johnson, Marjorie On mental calculation of repeating decimals, finding Fibonacci 
numbers and a connection to Pascal’s triangle. 92g:11016 

Dumont, J.-M. (with Thomas, Alain) Digital sum problems and substitutions on a finite 
alphabet. 92m:11074 





11A63 


Foster, D. M. E. A lower bound for a remainder term associated with the sum of digits 
function. 92¢:11096 

Gilbert, Peter see Rabinowitz, Stanley, 92g:11015 

Kirschenhofer, Peter On the variance of the sum of digits function. 92f:11103 

Larcher, Gerhard (with Tichy, Robert Franz) Arithmetical properties of the standard Gray- 
code. 92a:94007 

Levin, M. B. Simultaneously absolutely normal numbers. (Russian) 92g:11077 

Morton, Patrick (with Mourant, W. J.) Digit patterns and transcendental numbers. 
92i:11077 

Mourant, W. J. see Morton, Patrick, 92i:11077 

Rabinowitz, Stanley (with Gilbert, Peter) A nonlinear recurrence yielding binary digits. 
92g:11015 

Thomas, Alain see Dumont, J.-M., 92m:11074 

Tichy, Robert Franz see Larcher, Gerhard, 92a:94007 

Webb, William A. The number of binomial coefficients in residue classes modulo p and p?. 
92b:11010 


11A67 Other representations 


Bunder, Martin (with Tognetti, Keith) The Zeckendorf representation and the golden 
sequence. 92f:11015 

Erdés, Paul (with Shallit, J.O.) New bounds on the length of finite Pierce and Engel series. 
92f:11016 

Jones, Dixon J. Continued powers and roots. 92a:11013 

Knopfmacher, Arnold (with Knopfmacher, John) An alternating product representation for 
real numbers. 92g:11008 

Knopfmacher, John see Knopfmacher, Arnold, 92g:11008 

Shallit, J.O. see Erdés, Paul, 92f:11016 

Tognetti, Keith see Bunder, Martin, 92f:11015 


Items with secondary classifications in 11A67 

Alsina, Claudi On some functional equations related to Beatty complementary sequences. 
92a:11022 

Erdés, Paul (with Jo6, Istvan) On the expansion 1 = > q~". 92i:11030 

Grabner, Peter J. (with Tichy, Robert Franz) o-expansions, linear recurrences, and the 
sum-of-digits function. 92a:11089 

Jo6, Istvan see Erdés, Paul, 92i:11030 

Kleve, Torleiv Constructions of B,[g]-sequences. 92f:11033 

Szab6. Tamas Zoltén On completely additive functions. 92h:11007 

Tichy, Robert Franz see Grabner, Peter J., 92a:11089 


11A99 None of the above, but in this section 


Adiga, Chandrashekar see Bhargava, Srinivasamurthy; et al., 92f:11017 

de Barra, G. see Borwein, Jonathan M., 92i:11011 

Bhargava, Srinivasamurthy (with Adiga, Chandrashekar; Somashekara, D. D.) An estimate 
of Ramanujan related to the greatest integer function. 92f:11017 

Borwein, Jonathan M. (with de Barra, G.) Nested radicals. 92i:11011 

De Matteis, A. Order out of chaos in arithmetic. (see 92c:58025) 

Somashekara, D. D. see Bhargava, Srinivasamurthy; et al., 92f:11017 

Wall, Charles R. Terminating decimals in the Cantor ternary set. 92e:11009 


Items with secondary classifications in 11A99 

Chang, Tian-Hock On the sum of the powers of the natural numbers. (Malayan summary) 
92d:11116 

Forcade, R. W. (with Pollington, A.D.) What is special about 195? Groups, nth power 
maps and a problem of Graham. 92f:11032 

Kulosman, Hamid The number of equivalence classes of the relation Icm(x, n) = Icm(y, n) 
on the set {1,2,---,}. (Serbo-Croatian summary) 92h:11005 

Pollington, A. D. see Forcade, R. W., 92f:11032 

Ye, Shu Wu On double numbers. (Chinese. English summary) 92g:12003 


11Bxx Sequences and sets 


11B05 Density, gaps, topology 


Ajtai, Miklés (with Iwaniec, Henryk; Komlés, Janos; Pintz, Janos; Szemerédi, Endre) 
Construction of a thin set with small Fourier coefficients. 92e:11010 

Alon, Noga (with Peres, Yuval) A note on Euclidean Ramsey theory and a construction of 
Bourgain. 92i:11012 

Berger, Marc Aron (with Felzenbaum, Alexander Gersh; Fraenkel, Aviezri S.; Holzman, R.) 
On infinite and finite covering systems. 92g:11009 

Cameron, Peter J. (with Erdés, Paul) On the number of sets of integers with various 
properties. 92g:11010 

Erdés, Paul see Cameron, Peter J., 92g:11010 

Felzenbaum, Alexander Gersh see Berger, Marc Aron; et al., 92g:11009 

Fraenkel, Aviezri S. see Berger, Marc Aron; et al., 92g:11009 

Fuchs, Aimé (with Giuliano Antonini, Rita) Théorie générale des densités. (English and 
Italian summaries) [The general theory of densities] 92f:11018 

Giuliano Antonini, Rita see Fuchs, Aimé, 92f:11018 

Hall, R. R. Sets of multiples and Behrend sequences. 92f:11019 

Holzman, R. see Berger, Marc Aron; et al., 92g:11009 

Iwaniec, Henryk see Ajtai, Miklés; et al., 92e:11010 

Komlés, Janos see Ajtai, Miklés; et al., 92e:11010 

Nathanson, Melvyn B. Best possible results on the density of sumsets. 92d:11005 

Peres, Yuval see Alon, Noga, 92i:11012 

Pintz, Janos see Ajtai, Miklés; et al., 92e:1 1010 

Ruzsa, Imre Z. The density of the set of sums. 92i:11013 

Szemerédi, Endre see Ajtai, Miklés; et al., 92e:11010 


NUMBER THEORY 


Yates, Samuel Digital sum sets. 92c:11008 


Items with secondary classifications in 11B05 

Alon, Noga Independent sets in regular graphs and sum-free subsets of finite groups. 
92k:11024 

Daréczy, Z. (with Maksa, Gyula; Szab6, Tamas Zoltan) Some regularity properties of 
algorithms and additive functions with respect to them. 92¢:65192 

Erdés, Paul (with NeSetiil, Jaroslav; Rédl, Vojtéch) On Pisier type problems and results 
(combinatorial applications to number theory). (see 92d:05172) 

Just, Winfried Repercussions of a problem of Erdés and Ulam on density ideals. 92f:03061 

Maksa, Gyula see Daréczy, Z.; et al., 92¢:65192 

NeSetfil, Jaroslav see Erdés, Paul; et al., (92d:05172) 

Pastéka, Milan (with Salat, Tibor) On logarithms of rational numbers. (Russian and Slovak 
summaries) 92a:11002 

Rédl, Vojtéch see Erdés, Paul; et al., (92d:05172) 

Saldt, Tibor see Pastéka, Milan, 92a:11002 

Szabo, Tamas Zoltan see Daréczy, Z.; et al., 92e:65192 


11B13 Additive bases [see also 05B10] 


Alon, Noga (with Kleitman, Daniel J.) Sum-free subsets. 92f:11020 

Burke, John R. (with Webb, William A.) Perturbations and complementary sequences of 
integers. 92h:11010 

Deleglise, M. Recouvrement optimal du cercle par les multiples d’un intervalle. [Optimal 
covering of the circle by the multiples of an interval] 92m:11011 

Erdés, Paul Some problems and results on combinatorial number theory. 92g:11011 

Finch, Steven R. Conjectures about s-additive sequences. 92j:11009 

Jia, Xing De On the order of subsets of asymptotic bases. 92d:11006 

Kirfel, Christoph Extremale asymptotische Reichweitenbasen. [Extremal asymptotic range 
bases] 92m:11012 

Kleitman, Daniel J. see Alon, Noga, 92f:11020 

Nathanson, Melvyn B. Two applications of combinatorics to number theory. 92c:11009 

Webb, William A. see Burke, John R., 92h:11010 


Items with secondary classifications in 11B13 


Kleve, Torleiv Constructions of B,[g]-sequences. 92f:11033 

Lacampagne, C. B. (with Nicol, C. A.; Selfridge, J. L.) Sets with nonsquarefree sums. 
92d:11008 

Mimura, Yoshio Partial sums of sequences. 92j:11115 

Nicol, C. A. see Lacampagne, C. B.; et al., 92d:11008 

Ruzsa, Imre Z. Arithmetic progressions in sumsets. 92k:11609 

Selfridge, J. L. see Lacampagne, C. B.; et al., 92d:11008 


11B25 Arithmetic progressions [see also 11N13] 


Bourgain, Jean On arithmetic progressions in sums of sets of integers. 92e:11011 

Harzheim, Egbert Weakly arithmetic progressions in sets of natural numbers. 92f:11021 

Kellerer, Hans? (with Wirsching, Giinther) Prime covers and periodic patterns. 92d:11007 

Kyuchukov, Aleksand’r N. An automedianic triangle. (Bulgarian. English summary) 
92c:11010 

Ruzsa, Imre Z. Arithmetic progressions in sumsets. 92k:11009 

Shorey, T. N. (with Tijdeman, R.) On the greatest prime factor of an arithmetical 
progression. 92h:11011 

Simpson, R. Jamie (with Zeilberger, Doron) Necessary conditions for distinct covering 
systems with square-free moduli. 92i:11014 

Szab6, Zoltan Istvan An application of Lovasz’ local lemma—a new lower bound for the 
van der Waerden number. 92c:11011 

Tijdeman, R. see Shorey, T. N., 92h:11011 

Wirsching, Giinther see Kellerer, Hans”, 92d:11007 

Zeilberger, Doron see Simpson, R. Jamie, 92i:11014 


Items with secondary classifications in 11B25 


Berger, Marc Aron (with Felzenbaum, Alexander Gersh; Fraenkel, Aviezri S.) Irreducible 
disjoint covering systems (with an application to Boolean algebra). 92c:20037 

Bier, Thomas Totient numbers of an arithmetic progression in a hypercube: the case of step 
length 2. 92i:05227 

Erdés, Paul Some problems and results on combinatorial number theory. 92g:11011 

Felzenbaum, Alexander Gersh see Berger, Marc Aron; et al., 92c:20037 

Fraenkel, Aviezri S. see Berger, Marc Aron; et al., 92c:20037 

Shorey, T. N. (with Tijdeman, R.) On the greatest prime factor of an arithmetical 
progression. II. 92j:11112 

Szemerédi, Endre Integer sets containing no arithmetic progressions. 92c:11100 

Tijdeman, R. see Shorey, T. N., 92j:11112 

Truss, J. K. Small sets which meet all the n-term arithmetic progressions in the interval 
[1,n?]. 92i:11104 

Warlimont, Richard On a problem posed by I. Z. Ruzsa. 92k:11095 

Zhang, Ming Zhi Irreducible systems of residue classes that cover every integer exactly m 
times. (Chinese. English summary) 92j:11001 


11B34 Representation functions 


Borel, Jean-Pierre (with Laubie, Francois) Construction de mots de Christoffel. (English 
summary) [Construction of Christoffel words] 92j:11010 

Erdés, Paul (with Tetali, Prasad) Representations of integers as the sum of k terms. 
92¢:11012 

Lacampagne, C. B. (with Nicol, C. A.; Selfridge, J. L.) Sets with nonsquarefree sums. 
92d:11008 

Laubie, Francois see Borel, Jean-Pierre, 92j:11010 

Nicol, C. A. see Lacampagne, C. B.; et al., 92d:11008 

Selfridge, J. L. see Lacampagne, C. B.; et al., 92d:11008 





169 1992 11B Sequences and sets 


Selmer, Ernst S. (with Selvik, Bjérg Kristin) On Rédseth’s h-bases A, = {1,@2,2a2,-+-,(k — 
2)a2, ay}. 92k:11010 

Selvik, Bjérg Kristin see Selmer, Ernst S., 92k:11010 

Tetali, Prasad see Erdés, Paul, 92c:11012 


11B37 Recurrences {For applications to special functions, see 
33-XX.} 


André-Jeannin, Richard Sequences of integers satisfying recurrence relations. 92e:11012 

— On determinants whose elements are recurring sequences of arbitrary order. 92j:11011 

Beukers, Frits The zero-multiplicity of ternary recurrences. 92a:11014 

Bézivin, Jean-Paul Plus petit commun multiple des termes consécutifs d’une suite 
récurrente linéaire. (English summary) [Least common multiple of the consecutive terms 
of a linear recurrence sequence] 92f:11022 

Castellanos, Dario A generalization of a result of Shannon and Horadam. 92a:11015 

Deshommes, Bernadette Puissances binomiales dans un corps cubique. [Binomial powers in 
acubic field] 92h:11012 

Fitzpatrick, Patrick (with Norton, Graham H.) Finding a basis for the characteristic ideal 
of an n-dimensional linear recurring sequence. 92b:11006 

Freitag, Herta T. A note on ramifications concerning the construction of Pythagorean triples 
from recursive sequences. 92h:11013 

Gilbert, Peter see Rabinowitz, Stanley, 92g:11015 

Jensen, Norbert Some results on divisibility sequences. 92f:11023 

Kimberling, Clark Second-order recurrence and iterates of [an + 1/2]. 92g:11012 

— Sets of terms that determine all the terms of a linear recurrence sequence. 92i:11015 

— Partitioning the positive integers with higher order recurrences. 92f:11024 

Kiss, Péter On prime divisors of the terms of second order linear recurrence sequences. 
92g:11013 

— Results on the ratios of the terms of second order linear recurrences. 92g:11014 

Mignotte, Maurice (with Tzanakis, N.) Arithmetical study of recurrence sequences. 
92¢:11013 

Norton, Graham H. see Fitzpatrick, Patrick, 92b:11006 

van der Poorten, Alfred J. Some facts that should be better known, especially about rational 
functions. 92k:11011 

Rabinowitz, Stanley (with Gilbert, Peter) A nonlinear recurrence yiclding binary digits. 
92g:11015 

Tropak, Bogdan Some asymptotic properties of Lucas numbers. 92e:11013 

Tzanakis, N. see Mignotte, Maurice, 92c:11013 


Items with secondary classifications in 11B37 

Barozzi, Giulio Cesare A conjecture about primes. (Italian) 92i:11007 

Bradshaw, John see Long, Calvin T., 92j:11014 

Bui Minh Phong see Joé, Istvan, 92d:11109 

Darmon, Henri (with McKay, John) A continued fraction and permutations with fixed 
points. 92a:05003 

Filipponi, Piero On the 3n + 1 problem: something old, something new. (Italian summary) 
92i:11031 

Habsieger, Laurent Linear recurrent sequences and irrationality measures. 92¢:11074 

Haukkanen, Pentti (with Rutkowski, Jerzy) On generating functions for powers of 
recurrence sequences. 92h:11014 

Horadam, Alwyn F. see Shannon, A. G., 92a:11012 

Jacobson, Eliot A brief survey on distribution questions for second order linear recurrences. 
92e:11015 

Joé, Istvan (with Bui Minh Phong) On super Lehmer pseudoprimes. 92d:11109 

Lei, Zhi Xian Some properties of generalized Rudin-Shapiro polynomials. (Chinese) 
92k:11027 

Long, Calvin T. (with Bradshaw, John) Second-order recurrences and the Schréder- 
Bernstein theorem. 92j:11014 

McDaniel, Wayne L. see Ribenboim, Paulo, 92k:11015 

McKay, John see Darmon, Henri, 92a:05003 

Ribenboim, Paulo (with McDaniel, Wayne L.) Square classes of Lucas sequences. 
92k:11015 

Rutkowski, Jerzy see Haukkanen, Pentti, 92h:11014 

Shannon, A. G. (with Horadam, Alwyn F.) Generalized staggered sums. 92a:11012 

Shparlinskii, I. E. On the distribution of fractional parts of recurrent sequences. (Russian 
summary) 92a:11114 

Sidel/nikov, V. M. Estimates for the number of appearances of elements on an interval of a 
recurrent sequence over a finite field. (Russian) 92h:11108 

Somer, Lawrence Distribution of residues of certain second-order linear recurrences modulo 
p. 92j:11019 

Zhang, Liang Cheng q-difference equations and Ramanujan-Selberg continued fractions. 
92j:11008 


11B39 Fibonacci and Lucas numbers and polynomials and 
generalizations 


Adler, Irving Plant spirals and Fibonacci numbers: a mathematical gold mine. 

Agarwal, Ashok Kumar! Combinatorial interpretations of the g-analogues of L2,,1. 
92i:11016 

André-Jeannin, Richard Generalized complex Fibonacci and Lucas functions. 92b:11007 

— Summation of certain reciprocal series related to Fibonacci and Lucas numbers. 
92i:11017 

— Divisibility of generalized Fibonacci and Lucas numbers by their subscripts. 92i:11018 

— A note on the irrationality of certain Lucas infinite series. 92m:11013 

Bicknell-Johnson, Marjorie On mental calculation of repeating decimals, finding Fibonacci 
numbers and a connection to Pascal’s triangle. 92g:11016 

Bradshaw, John see Long, Calvin T., 92j:11014 

Brugia, Odoardo (with Di Porto, Adina; Filipponi, Piero) On certain Fibonacci-type sums. 
92i:11019 


11B39 


Capocelli, Renato M. (with Cull, Paul) Generalized Fibonacci numbers are rounded 
powers. 92g:11017 

— A generalization of Fibonacci trees. 92k:11012 

Charalambides, Ch. A. Lucas numbers and polynomials of order k and the length of the 
longest circular success run. 92i:11020 

Cohn, J. H. E. Recurrent sequences including N. 92b:11008 

Cull, Paul see Capocelli, Renato M., 92g:11017 

D’Amico, A. see Ferri, G.; et al., 92m:11014 

Di Porto, Adina see Brugia, Odoardo; et al., 92i:11019 

Englund, David A. Entry point reciprocity of characteristic conjugate generalized Fibonacci 
sequences. 92i:11021 

Faccio, M. see Ferri, G.; et al., 92m:11014 

de Faria Campos, Edison Applications of Fibonacci numbers. (Spanish) (see 92e:00013) 

— Fibonacci numbers, binomial coefficients and continued fractions. (Spanish) (see 
92e:00013) 

Ferri, G. (with Faccio, M.; D’Amico, A.) Fibonacci numbers and ladder network 
impedance. 92m:11014 

Filipponi, Piero A note on J. A. Fridy and I. T. Roberts’ paper on Fibonacci-type sums: “On 
sums of Fibonacci-type series” [Austral. Math. Soc. Gaz. 16 (1989), no. 5, 130-132; MR 
90k:11020]. 92¢:11014 

— A note on a class of Lucas sequences. 92d:11009 

— see also Brugia, Odoardo; et al., 92i:11019 and Horadam, Alwyn F., 92m:11015 

(Fridy, J. A.) see Filipponi, Piero, 92c:11014 

Grytczuk, Aleksander see Grytczuk, Krystyna, 92i:11022 

Grytezuk, Krystyna (with Grytczuk, Aleksander) Functional recurrences. 92i:11022 

Harborth, Heiko (with Kemnitz, Armfried) Fibonacci triangles. 92f:11025 

Haukkanen, Pentti (with Rutkowski, Jerzy) On generating functions for powers of 
recurrence sequences. 92h:11014 

Horadam, Alwyn F. (with Filipponi, Piero) Cholesky algorithm matrices of Fibonacci type 
and properties of generalized sequences. 92m:11015 

— see also Mahon, J. M., 92f:11028 and Shannon, A. G., 92f:11030 

Horibe, Yasuichi Some notes on Fibonacci binary sequences. 92m:11016 

Imada, Naotaka An inverse theorem on Fibonacci numbers. 92k:11013 

Jamieson, M. J. Fibonacci numbers and Aitken sequences revisited. 92f:11026 

Jones, James P. Diophantine representation of Fibonacci numbers over natural numbers. 
92£:11027 

Kemnitz, Arnfried see Harborth, Heiko, 92f:11025 

Kimberling, Clark Zeckendorf number systems and associated partitions. 92k:11014 

Kirfel, Christoph Fibonacci numbers in number theory. (Norwegian. English summary) 
92i:11023 

Klein, Shmuel T. Combinatorial representation of generalized Fibonacci numbers. 
92h:11015 

Konvalina, John (with Liu, Yi-Hsin) Subsets without g-separation and binomial products 
of Fibonacci numbers. 92j:11012 

Lari, M. On consecutive terms of Farey-Fibonacci sequence. 92d:11010 

Lewin, Mordechai Periodic Fibonacci and Lucas sequences. 92j:11013 

Liu, Yi-Hsin see Konvalina, John, 92j:11012 

Long, Calvin T. Some binomial Fibonacci identities. 92i:11024 

— (with Bradshaw, John) Second-order recurrences and the Schréder-Bernstein theorem. 
92j:11014 

Mahanthappa, Mahesh K. Arithmetic sequences and Fibonacci quadratics. 92j:11015 

Mahon, J. M. (with Horadam, Alwyn F.) A survey of properties of third order Pell diagonal 
functions. 92f:11028 

Matyas, Ferenc A generalization of the Farey-Fibonacci sequence. 92d:11011 

McDaniel, Wayne L. see Ribenboim, Paulo, 92k:11015 

Onstad, Torgeir The Fibonacci numbers. (Norwegian. English summary) 92d:11012 

Pihko, Jukka Fibonacci numbers and an algorithm of Lemoine and Katai. 92j:11016 

— A note on a theorem of Schinzel. 92i:11025 

van Ravenstein, Tony see Tognetti, Keith; et al., 92m:11018 

Ribenboim, Paulo (with McDaniel, Wayne L.) Square classes of Lucas sequences. 
92k:11015 

Robbins, Neville A new formula for Lucas numbers. 92j:11017 

— Lucas numbers of the form px?, where p is prime. 92g:11018 

(Roberts, I. T.) see Filipponi, Piero, 92c:11014 

Rutkowski, Jerzy see Haukkanen, Pentti, 92h:11014 

Schinzel, Andrzej Special Lucas sequences, including the Fibonacci sequence, modulo a 
prime. 92f:11029 

Shannon, A. G. (with Horadam, Alwyn F.) Generalizations of sequences of Lucas and Bell. 
92f:11030 

— see also Whitaker, R. N., 92j:11018 

Somer, Lawrence Distribution of residues of certain second-order linear recurrences modulo 
p. Il. 92k:11016 

Tan, Evelyn L. On Fibonacci numbers and cycle graphs. 

Tee, Garry J. Proof of Filipponi’s conjecture on noninteger sums of Fibonacci-type series. 
92m:11017 

Tognetti, Keith (with Winley, Graham; van Ravenstein, Tony) The Fibonacci Tree, 
Hofstadter and the golden string. 92m:11018 

Turner, John Christopher Three number trees—their growth rules and related number 
properties. 92g:11019 

Whitaker, R. N. (with Shannon, A. G.) Some recursive asymptotes. 92j:11018 

Winley, Graham see Tognetti, Keith; et al., 92m:11018 


Items with secondary classifications in 11B39 

Akritas, Alkiviadis G. (with Bradford, P.G.) The role of the Fibonacci sequence in the 
isolation of the real roots of polynomial equations. 92k:12001 

André-Jeannin, Richard Sequences of integers satisfying recurrence relations. 92e:11012 

Antzoulakos, Demetris L. see Philippou, Andreas N., 92i:05013 

Azukawa, Kazuo (with Yuzawa, Tsuyoshi) A remark on the continued fraction expansion of 
conjugates of the golden section. 92e:11008 

(Bergum, G. E.) see Applications of Fibonacci numbers, 92e:11002 








11B39 


Bradford, P.G. see Akritas, Alkiviadis G., 92k:12001 

Bunder, Martin (with Tognetti, Keith) The Zeckendorf representation and the golden 
sequence. 92f:11015 

Castellanos, Dario A generalization of a result of Shannon and Horadam. 92a:11015 

Drmota, Michael On generalized Fibonacci numbers of graphs. 92e:05032 

Eckhardt, Donald H. Cyclic groups and the generation of La Loubére magic squares. 
92b:05012 

Filipponi, Piero (with Montolivo, Emilio) Representation of natural numbers as sums of 
Fibonacci numbers: an application to modern cryptography. 92k:94016 

Goda, Masaki (with Takemori, Tadashi; Kubo, Haruhiko; Ogawa, Tohru) A family of 
Fibonacci lattices. II. 92c:82020 

Gordon, Daniel M. (with Pomerance, Carl) The distribution of Lucas and elliptic 
pseudoprimes. 92h:11081 

Happel, Dieter A family of algebras with two simple modules and Fibonacci numbers. 
92m:16007 

Harborth, Heiko (with Lohmann, Sabine) Mosaic numbers of Fibonacci trees. 92j:05048 

(Horadam, Alwyn F.) see Applications of Fibonacci numbers, 92e:11002 

Kiss, Péter On prime divisors of the terms of second order linear recurrence sequences. 
92g:11013 

— Results and problems concerning prime divisors of Lucas numbers. 92e:11095 

Kubo, Haruhiko see Goda, Masaki; et al., 92c:82020 

Lohmann, Sabine see Harborth, Heiko, 92j:05048 

Moll, Richard J. (with Venkatesan, Shankar M.) Fibonacci numbers are not context-free. 
92e:11017 

Montolivo, Emilio see Filipponi, Piero, 92k:94016 

Ogawa, Tohru see Goda, Masaki; et al., 92c:82020 

Philippou, Andreas N. (with Antzoulakos, Demetris L.) Generalized multivariate Fibonacci 
polynomials of order k and the multivariate negative binomial distributions of the same 
order. 92i:05013 

— see also Applications of Fibonacci numbers, 92e:11002 

Pomerance, Carl see Gordon, Daniel M., 92h:11081 

van der Poorten, Alfred J. Some facts that should be better known, especially about rational 
functions. 92k:11011 

Robbins, Neville Some convolution-type and combinatorial identities pertaining to binary 
linear recurrences. 92¢:05010 

— Vieta’s triangular array and a related family of polynomials. 92a:11020 

Senechal, Marjorie Generalizing crystallography: puzzles and problems in dimension 1. 
92£:11184 

Simalarides, Anastasios Sophie Germain’s principle and Lucas numbers. 92c:11026 

Singh, Sahib On a Hoggatt-Bergum paper with totient function approach for divisibility 
and congruence relations. 92e:11004 

Somer, Lawrence Distribution of residues of certain second-order linear recurrences modulo 
p. 92j:11019 

Sved, Marta Fractals, recursions, divisibility. 92g:05012 

Takemori, Tadashi see Goda, Masaki; et al., 92c:82020 

Tognetti, Keith see Bunder, Martin, 92f:11015 

Venkatesan, Shankar M. see Moll, Richard J., 92e:11017 

Yuzawa, Tsuyoshi see Azukawa, Kazuo, 92¢:11008 


Items listed otherwise than by author 
Applications of Fibonacci numbers * Applications of Fibonacci numbers. Vol. 3. 92e:11002 
Conference: 
Fibonacci Numbers and their Applications * Applications of Fibonacci numbers. Vol. 3. 
92e:11002 
Pisa * Applications of Fibonacci numbers. Vol. 3. 92e:11002 


11B50 Sequences (mod m) 


Al-Zaid, Hassan see Singh, Surjeet, 92k:11018 

Buttsworth, R. N. (with Matthews, K. R.) On some Markov matrices arising from the 
generalized Collatz mapping. 92a:11016 

Gao, Wei Dong On additivity of integers. (Chinese. English summary) 92e:11014 

Jacobson, Eliot A brief survey on distribution questions for second order linear recurrences. 
92e:11015 

Matthews, K. R. see Buttsworth, R. N., 92a:11016 

Niederreiter, Harald (with Schinzel, Andrzej; Somer, Lawrence) Maximal frequencies of 
elements in second-order linear recurring sequences over a finite field. 92k:11017 

Schinzel, Andrzej see Niederreiter, Harald; et al., 92k:11017 

Singh, Surjeet (with Al-Zaid, Hassan) On a canonical form for recurring sequences. 
92k:11018 

Somer, Lawrence Distribution of residues of certain second-order linear recurrences modulo 
p. 92j:11019 

— see also Niederreiter, Harald; et al., 92k:11017 


Voorhees, Burton Period multiplying operators on integer sequences modulo a prime. 
924:11013 


Items with secondary classifications in 11B50 

André-Jeannin, Richard Divisibility of generalized Fibonacci and Lucas numbers by their 
subscripts. 92i:11018 

Berger, Marc Aron (with Felzenbaum, Alexander Gersh; Fraenkel, Aviezri S.; Holzman, R.) 
On infinite and finite covering systems. 92g:11009 

Clarke, Robert John see Sved, Marta, 92i:05020 

Felzenbaum, Alexander Gersh see Berger, Marc Aron; et al., 92g:11009 

Fraenkel, Aviezri S. see Berger, Marc Aron; et al., 92g:11009 

Holzman, R. see Berger, Marc Aron; et al., 92g:11009 

La4szl6, Vojtech (with Salat, Tibor) Uniformly distributed sequences of positive integers in 
Baire’s space. 92j:11080 

Salat, Tibor see Laszlé, Vojtech, 92j:11080 

Schinzel, Andrzej Special Lucas sequences, including the Fibonacci sequence, modulo a 
prime. 92f:11029 


NUMBER THEORY 


1992 170 


, Lawrence Distribution of residues of certain second-order linear recurrences modulo 
p. 11. 92k:11016 


Sved, Marta (with Clarke, Robert John) King’s walk on the infinite chessboard. 92i:05020 


11B57 Farey sequences; the sequences {1*, 2, -- -} 
Mays, Michael E. Triangular Farey arrays. 92f:11031 


Items with secondary classifications in 11B57 


Deleglise, M. Recouvrement optimal du cercle par les multiples d’un intervalle. [Optimal 
covering of the circle by the multiples of an interval] 92m:11011 


11B65 Binomial coefficients; factorials; g-identities 
[see also 05A10, 05A30] 


Alford, Cecil O. see Fielder, Daniel C., 92g:11020 

Althoen, S.C. (with Lacampagne, C. B.) Tetrahedral numbers as sums of square numbers. 
92d:11014 

Ando, Shiro (with Sato, Daihachiro) Translatable and rotatable configurations which give 
equal product, equal GCD and equal LCM properties simultaneously. 92i:11026 

Andrews, George E. (with Hickerson, Dean) Ramanujan’s “lost” notebook. VII. The sixth 
order mock theta functions. 92i:11027 

Berndt, Bruce C. Some asymptotic formulas for q-series found in Ramanujan’s third 
notebook and “lost notebook”. 92a:11017 

Bisht, C.S. see Srivastava, Hari M.; et al., 92g:11022 

Chu, Wen Chang An algebraic identity and some partial convolutions. 92h:11016 

Denis, Remy Y. On generalization of certain g-series results of Ramanujan. 92m:11019 

Dodd, Fred (with Peele, Rhodes) Some counting problems involving the multinomial 
expansion. 92d:11015 

Fang, Yu Guang The distribution of odd numbers in the Hui Yang triangle. (Chinese. 
English summary) 92a:11018 

Fielder, Daniel C. (with Alford, Cecil O.) An investigation of sequences derived from 
Hoggatt sums and Hoggatt triangles. 92g:11020 

Giambalvo, V. (with Mines, Ray; Pengelley, David J.) p-adic congruences between binomial 
coefficients. 92h:11017 

Granville, Andrew (with Zhu, Yiliang) Representing binomial coefficients as sums of 
squares. 92b:11009 

Hickerson, Dean see Andrews, George E., 92i:11027 

Hilton, Peter J. (with Pedersen, Jean; Rosenthal, William) Pascalian triangles and 
extensions to hexagons. 92c:11015 

Joshi, J. M.C. see Srivastava, Hari M.; et al., 92g:11022 

Klotz, W. On certain binomial sums. 92a:11019 

Lacampagne, C. B. see Althoen, S. C., 92d:11014 

Milne, S.C. A triple product identity for Schur functions. 92g:11021 

Mines, Ray see Giambalvo, V.; et al., 92h:11017 

Moen, Courtney Infinite series with binomial coefficients. 92c:11016 

Pedersen, Jean see Hilton, Peter J.; et al., 92c:11015 

Peele, Rhodes see Dodd, Fred, 92d:11015 

Pengelley, David J. see Giambalvo, V.; et al., 92h:11017 

Robbins, Neville Vieta’s triangular array and a related family of polynomials. 92a:11020 

Rosenthal, William see Hilton, Peter J.; et al., 92c:11015 

Sato, Daihachiro see Ando, Shiro, 92i:11026 

Srivastava, Hari M. (with Joshi, J. M. C.; Bisht, C. S.) Fractional calculus and the sum of 
powers of natural numbers. 92g:11022 

Webb, William A. The number of binomial coefficients in residue classes modulo p and p?. 
92b:11010 

Zhu, Yiliang see Granville, Andrew, 92b:11009 


Items with secondary classifications in 11B65 

Ando, Shiro (with Sato, Daihachiro) A GCD property on Pascal’s pyramid and the 
corresponding LCM property of the modified Pascal pyramid. 92i:05011 

Andrews, George E. A formula of Ramanujan from the lost notebook. 92d:11115 

— q-trinomial coefficients and Rogers-Ramanujan type identities. 92e:11109 

— A page from Ramanujan’s lost notebook. 92b:11072 

— (with Hickerson, Dean) Ramanujan’s “lost” notebook. VII. The sixth order mock theta 
functions. 92i:11027 

(Atanassov, Krassimir T.) see Sandor, Jozsef 

Désarménien, Jacques Une généralisation des formules de Gordon et de MacMahon. (En- 
glish summary) [A generalization of the Gordon and MacMahon formulas] 92d:05174 

de Faria Campos, Edison Fibonacci numbers, binomial coefficients and continued fractions. 
(Spanish) (see 92e:00013) 

Greene, John On a conjecture of Krammer. 92c:11110 

Hickerson, Dean see Andrews, George E., 92i:11027 

Hilton, Peter J. (with Pedersen, Jean) The ballot problem and Catalan numbers. 92b:05002 

Knopfmacher, Arnold Generalized series expansions of functions. 92g:30002 

Konvalina, John (with Liu, Yi-Hsin) Subsets without g-separation and binomial products 
of Fibonacci numbers. 92j:11012 

Liu, Yi-Hsin see Konvalina, John, 92j:11012 

Longyear, Judith Q. Graphs and permutations. 924:05007 

Pedersen, Jean see Hilton, Peter J., 92b:05002 

(Ramanujan, Srinivasa) see Andrews, George E., 92b:11072 

Sagan, Bruce E. Log concave sequences of symmetric functions and analogs of the Jacobi- 
Trudi determinants. 92¢:05121 

Sandor, Jézsef Remarks on two papers by K. T. Atanassov: “New integer functions, related 
to g and o functions” [Bull. Number Theory Related Topics 11 (1987), no. 1-3, 3-26; 
MR 90j:11007] and “One extremal problem. IV” [ibid. 11 (1987), no. 1-3, 64-71; MR 
90k: 11022]. 

Sato, Daihachiro see Ando, Shiro, 92i:05011 

Wachs, Michelle L. (with White, Dennis) p,q-Stirling numbers and set partition statistics. 
92b:05004 





171 1992 


White, Dennis see Wachs, Michelle L., 92b:05004 


11B68 Bernoulli and Euler numbers and polynomials 


Almkvist, Gert (with Meurman, Arne) Values of Bernoulli polynomials and Hurwitz’s zeta 
function at rational points. 92g:11023 

Cakié, Nenad A note on Euler’s numbers. 92g:11024 

Carroll, Tim (with Hilton, Peter J.,; Pedersen, Jean) Eulerian numbers, pseudo-Eulerian 
coefficients, and weighted sums in Pascal’s triangle. 92k:11019 

Castellanos, Dario A note on Bernoulli polynomials. 92h:11018 

Clarke, Francis On Dibag’s generalisation of von Staudt’s theorem. 92k:11020 

Deeba, Elias Y. (with Rodriguez, Dennis M.) Stirling’s series and Bernoulli numbers. 
92g:11025 

Geng, Ji Bernoulli numbers and Euler numbers—a discussion on two properties of power 
series. (Chinese) 

Hilton, Peter J. see Carroll, Tim; et al., 92k:11019 

Meurman, Arne see Almkvist, Gert, 92g:11023 

Pedersen, Jean see Carroll, Tim; et al., 92k:11019 

Prasad, Subash see Singh, Ramji B., 92b:11011 

Robert, Alain Michel A note on the numerators of the Bernoulli numbers. 92c:11017 

Rodriguez, Dennis M. see Deeba, Elias Y., 92g:11025 

Singh, Ramji B. (with Prasad, Subash) An extension of the Bernoulli and Euler polynomi- 
als. 92b:11011 

Tsumura, Hirofumi A note on q-analogues of the Dirichlet series and g-Bernoulli numbers. 
92j:11020 

Yoshida, Masao A representation of the Bernoulli numbers B, and the tangent numbers 7,. 
92k:11021 


Items with secondary classifications in 11B68 

(Bernoulli, Jacob I) see Slavut-skii, I. Sh., 92m:11001 

Dilcher, Karl (with Skula, Ladislav; Slavut-skii, I. Sh.) * Bernoulli numbers. 92f:11001 
Ewell, John A. On values of the Riemann zeta function at integral arguments. 92c:11087 


Fransén, Arne Properties of Stirling polynomials and a disproof of Robertson’s conjecture. 
92d:11016 

(Kummer, Ernst Eduard) see Slavut-skii, I. Sh., 92m:11001 

Ozliik, Ali E. (with Snyder, Chip) An identity involving Nérlund polynomials. 92c:11046 

Skula, Ladislav see Dilcher, Karl; et al., 92f:11001 

Slavut-skii, I. Sh. Outline of the history of research on the arithmetic properties of Bernoulli 
numbers (von Staudt, Kummer, Voronoi). (Russian) 92m:11001 

— see also Dilcher, Karl; et al., 92f:11001 

Snyder, Chip see Ozliik, Ali E., 92c:11046 

(Staudt, K.G.C.) see Siavut-skii, I. Sh., 92m:11001 

(Voronoi, G. F.) see Slavut-skii, I. Sh., 92m:11001 

Zhang, Nan Yue The Euler constant and some sums associated with the zeta function. 
(Chinese) 92a:11098 

Zhang, Wen Peng On the several identities of Riemann zeta-function. 92m:11086 


Items listed otherwise than by author 


Bibliography: 
Bernoulli numbers see Dilcher, Karl; et al., 92f:11001 


11B73 Bell and Stirling numbers 


Brindza, B. (with Pintér, A.) On the power values of Stirling numbers. 92k:11022 

Butzer, P. L. (with Hauss, M.) On Stirling functions of the second kind. 92k:11023 

Fransén, Arne Properties of Stirling polynomials and a disproof of Robertson’s conjecture. 
92d:11016 

Hauss, M. see Butzer, P. L., 92k:11023 

Howard, F. T. Extensions of congruences of Glaisher and Nielsen concerning Stirling 
numbers. 92i:11028 

Kahale, Nabil New modular properties of Bell numbers. 92i:11029 

Marcu, Danut Note on the Stirling numbers. (Serbo-Croatian summary) 924:11017 

Pintér, A. see Brindza, B., 92k:11022 

Shparlinskii, I. E. On the distribution of values of recurring sequences and the Bell numbers 
in finite fields. 92a:11021 

Tsumura, Hirofumi On some congruences for the Bell numbers and for the Stirling numbers. 
92c:11018 

Yamato, Hajime Probabilistic proofs of relations with Stirling numbers of the first kind by 
Dirichlet process. 92e:11016 


Items with secondary classifications in 11B73 

Bisht, C.S. see Srivastava, Hari M.; et al., 92g:11022 

Butzer, P. L. (with Markett, Clemens; Schmidt, Michael) Stirling numbers, central factorial 
numbers, and representations of the Riemann zeta function. 92a:11095 

Collins, Karen L. (with Hovey, Mark) A bijective proof for the parity of Stirling numbers. 
92c:05004 


Hovey, Mark see Collins, Karen L., 92c:05004 

Joshi, J.M.C. see Srivastava, Hari M.; et al., 92g:11022 

Markett, Clemens see Butzer, P. L.; et al., 92a:11095 

Schmidt, Michael see Butzer, P. L.; et al., 92a:11095 

Srivastava, Hari M. (with Joshi, J. M. C.; Bisht, C. S.) Fractional calculus and the sum of 
powers of natural numbers. 92g:11022 

Wachs, Michelle L. (with White, Dennis) p, q-Stirling numbers and set partition statistics. 
92b:05004 

White, Dennis see Wachs, Michelle L., 92b:05004 


11B75 Other combinatorial number theory 


Alon, Noga Independent sets in regular graphs and sum-free subsets of finite groups. 
92k:11024 


11B Sequences and sets 


11B83 


Alsina, Claudi On some functional equations related to Beatty complementary sequences. 
92a:11022 

Balasubramanian, Ramachandran (with Soundararajan, K.) On the additive completion of 
squares. II. 92m:11020 

Erdés, Paul (with NeSetiil, Jaroslav; Rédl, Vojtéch) On Pisier type problems and results 
(combinatorial applications to number theory). (see 92d:05172) 

— (with Nicolas, Jean-Louis; Sarkézy, A.) Sommes de sous-ensembles. (English summary) 
[Sums of subsets] 92k:11025 

Forcade, R. W. (with Pollington, A.D.) What is special about 195? Groups, nth power 
maps and a problem of Graham. 92f:11032 

Kleve, Torleiv Constructions of B,[g]-sequences. 92f:11033 

Mohanty, Supriya On multi-sets. 92g:11026 

NeSetfil, Jaroslav see Erdés, Paul; et al., (92d:05172) 

Nicolas, Jean-Louis see Erdés, Paul; et al., 92k:11025 

Pollington, A. D. see Forcade, R. W., 92f:11032 

Rédl, Vojtéch see Erdés, Paul; et al., (92d:05172) 

Sarkézy, A. see Erdés, Paul; et al., 92k:11025 

Schinheim, J. On partitions of the positive integers with no x, y, z belonging to distinct 
classes satisfying x + y = z. 92d:11018 

Sés, Vera T. An additive problem in different structures. 92k:11026 

Soundararajan, K. see Balasubramanian, Ramachandran, 92m:11020 

Zhang, Ming Zhi On Schinzel numbers. (Chinese. English summary) 92h:11019 


Items with secondary classifications in 11B75 

Ajtai, Miklés (with Iwaniec, Henryk; Komlés, Janos; Pintz, Janos; Szemerédi, Endre) 
Construction of a thin set with small Fourier coefficients. 92e:11010 

Brown, Tom C. (with Rédl, Vojtéch) Monochromatic solutions to equations with unit 
fractions. 924:05169 

Burke, John R. (with Webb, William A.) Perturbations and complementary sequences of 
integers. 92h:11010 

Erdés, Paul (with Freud, R.) On sums of a Sidon-sequence. 92g:11028 

Frankl, Peter (with Graham, Ronald L.; Rédl, Vojtéch) Quantitative Versionen von 
kombinatorischen Partitionssatzen. [Quantitative versions of combinatorial partition 
theorems] 924:05011 

Freud, R. see Erdés, Paul, 92g:11028 

Graham, Ronald L. see Frankl, Peter; et al., 92d:05011 

Harris, V.C. (with Subbarao, M. V.) On product partitions of integers. 92m:11101 

Iwaniec, Henryk see Ajtai, Miklés; et al., 92e:11010 

Komlés, Janos see Ajtai, Miklés; et al., 92e:11010 

Leont’ev, V. K. Combinatorics: a retrospective and prospects. (Russian) 92j:05002 

Nathanson, Melvyn B. Two applications of combinatorics to number theory. 92c:11009 

(NeSetfil, Jaroslav) see Mathematics of Ramsey theory, 924:05172 

Pintz, Janos see Ajtai, Miklés; et al., 92e:11010 

Rédl, Vojtéch see Frankl, Peter; et al., 92d:05011; Brown, Tom C., 924:05169 and Mathemat- 
ics of Ramsey theory, 92d:05172 

Strunkov, S. P. A generalization of Fermat’s little theorem. (Russian) 92k:11006 

Subbarao, M. V. see Harris, V.C.,92m:11101 

Szemerédi, Endre see Ajtai, Miklés; et al., 92e:11010 

Webb, William A. see Burke, John R., 92h:11010 


Items listed otherwise than by author 
Mathematics of Ramsey theory * Mathematics of Ramsey theory. 92d:05172 


11B83 Special sequences and polynomials 


Akbik, Safwan A special prime divisor of the sequence: Ah + B, A(h + 1) + B,--- 
k—1)+B. 92g:11027 

Antonyuk, P. N. (with Stanyukovich, K. P.) The logistic difference equation. Period 
doublings and Fermat numbers. (Russian) 924:11019 

Borwein, Peter B. Quadratically converging rational mean iterations. 92f:11034 

Brown, Tom C. (with Freedman, Allen R.) Some sequences associated with the golden ratio. 
92£:11035 

Bui Minh Phong On generalized Lehmer sequences. 92m:11021 

Chow, Timothy A new characterization of the Fibonacci-free partition. 92j:11021 

Erdés, Paul (with Freud, R.) On sums of a Sidon-sequence. 92g:11028 

— (with Jo6, Istvan) On the expansion | = }> q~"'. 92i:11030 

Filipponi, Piero On the 3n + 1 problem: something old, something new. (Italian summary) 
92i:11031 

Freedman, Allen R. see Brown, Tom C., 92f:11035 

Freud, R. see Erdés, Paul, 92g:11028 

Hellegouarch, Yves Un analogue d’un théoréme d’Euler. (English summary) [An analogue 
of a theorem of Euler] 92f:11036 

Jo6, Istvan see Erdés, Paul, 92i:11030 

Lei, Zhi Xian Some properties of generalized Rudin-Shapiro polynomials. (Chinese) 
92k:11027 

Li, An Ping On B3-sequences. (Chinese) 92f:11037 

Saffari, B. Barker sequences and Littlewood’s “two-sided conjectures” on polynomials with 
+1 coefficients. 92i:11032 

Stanyukovich, K. P. see Antonyuk, P. N., 92d:11019 

Walum, Herbert Multiplication formulae for periodic functions. 92c:11019 


Ah + 


Items with secondary classifications in 11B83 


Borel, Jean-Pierre Sur certains sous-groupes de R liés a la suite des factorielles. [On some 
subgroups in R associated with the sequence of factorials] 92g:11079 

Gao, Wei Dong On additivity of integers. (Chinese. English summary) 92¢:11014 

Goldberg, Lisa R. Catalan numbers and branched coverings by the Riemann sphere. 
92b:14014 

Harzheim, Egbert Weakly arithmetic progressions in sets of natural numbers. 92:11021 

Kreweras, Germain Sur les pclynémes de Catalan simples et doubles. (English summary) 
[On simple and double Catalan polynomials] 92i:05012 





11B83 


Lacampagne, C. B. (with Nicol, C. A.; Selfridge, J. L.) Sets with nonsquarefree sums. 
92d:11008 

Lagarias, Jeffrey C. (with Weiss, Alan) The 3x + 1 problem: two stochastic models. 
92k:60159 

Landman, Bruce M. (with Portier, Frederick J.; Vaughan, Theresa P.) Concavity properties 
of numbers of solutions of Diophantine equations. 92e:11020 

Mendes France, Michel The Rudin-Shapiro sequence, Ising chain, and paperfolding. 
92e:11154 

Moews, David (with Moews, Paul C.) A search for aliquot cycles below 10!°. 92e:11151 

Moews, Paul C. see Moews, David, 92e:11151 

Nabney, Ian T. Growth functions for groups and recurrence sequences. 92f:20030 

Nicol, C. A. see Lacampagne, C. B.; et al., 92d:11008 

Osbaldestin, A. H. (with Shiu, P.) Tijdeman’s iterative algorithm. 92i:11083 

Portier, Frederick J. see Landman, Bruce M.; et al., 92e:11020 

Radoux, Christian Déterminant de Hankel construit sur des polynémes liés aux nombres 
de dérangements. [A Hankel determinant constructed on polynomials associated with 
numbers of derangements] 92i:05019 

Selfridge, J. L. see Lacampagne, C. B.; et al., 92d:11008 

Shiu, P. see Osbaldestin, A. H., 92i:11083 

Thouvenot, Jean-Paul La convergence presque siire des moyennes ergodiques suivant 
certaines sous-suites d’entiers (d’aprés Jean Bourgain). [Almost sure convergence of 
ergodic means along some subsequences of integers (after Jean Bourgain)] 92c:11082 

Vaughan, Theresa P. see Landman, Bruce M.; et al., 92e:11020 

Weiss, Alan see Lagarias, Jeffrey C., 92k:60159 

Zhang, Zhen Xiang On a conjecture of Erdés on the sum Pech 1/(plogp). 92f:11131 


11B85 Automata sequences 


Brown, Tom C. A characterization of the quadratic irrationals. 92¢:11020 

Laubie, Francois Prolongements homographiques de substitutions de mots de Christoffel. 
(English summary) [Homographic prolongations of substitutions of Christoffel’s words] 
92j:11022 

Mendes France, Michel Opacity of an automaton. Application to the inhomogeneous Ising 
chain. 92k:11028 

Moll, Richard J. (with Venkatesan, Shankar M.) Fibonacci numbers are not context-free. 
92e:11017 

Queffélec, Martine Ubiquité et paradoxes des suites automatiques. [Ubiquity and paradoxes 
of automatic sequences] 92f:11038 

Venkatesan, Shankar M. see Moll, Richard J., 92e:11017 


Items with secondary classifications in 11B85 

Arnoux, Pierre (with Rauzy, Gérard) Représentation géométrique de suites de complexité 
2n + 1. (English summary) [Geometric representation of sequences of complexity 2n + 1] 
92k:58072 

Borel, Jean-Pierre (with Laubie, Francois) Construction de mots de Christoffel. (English 
summary) [Construction of Christoffel words] 92j:11010 

Horibe, Yasuichi Some notes on Fibonacci binary sequences. 92m:11016 

Laubie, Francois see Borel, Jean-Pierre, 92j:11010 

Morton, Patrick (with Mourant, W. J.) Digit patterns and transcendental numbers. 
92i:11077 

Mourant, W. J. see Morton, Patrick, 92i:11077 

Rauzy, Gérard see Arnoux, Pierre, 92k:58072 

Voorhees, Burton Period multiplying operators on integer sequences modulo a prime. 
92d:11013 


11B99 None of the above, but in this section 


Ewell, John A. The Catalan numbers and pi. 92k:11029 

(Ramanujan, Srinivasa) see Somasundaram, D., 92a:11023 

Somasundaram, D. Some trigonometric formulae of Srinivasa Ramanujan in notebook 3. 
92a:11023 

Varshney, A. K. On the function u,. 


Items with secondary classifications in 11B99 

Erdahl, Robert M. see Ryshkov, S. S., 92i:05056 

Gosper, R. Wm. LISP + calculus = identities. 92i:11133 

Ryshkov, S.S. (with Erdahl, Robert M.) Dual systems of integer vectors and their 
applications in the theory of (0, 1)-matrices. (Russian) 92i:05056 

Zarawiecki, Jerzy Locally reducible iterative systems. 92j:39012 


11Cxx Polynomials and matrices 


11C08 Polynomials [see also 13F20] 


Choudhry, Ajai (with Schinzel, Andrzej) On the number of terms in the irreducible factors 
of a polynomial over Q. 92m:11022 

Dedieu, Jean-Pierre Combien peu de polynémes ont toutes leurs racines réeles? (English 
summary) [How many polynomials have only real roots?] 92i:11033 

Glesser, Philippe (with Mignotte, Maurice) An inequality about irreducible factors of 
integer polynomials. II. 92m:11023 

Jankowski, Leszek (with Marlewski, Adam) On the rational polynomials having the same 
image of the rational number set. 92b:11012 

Knopfmacher, Arnold (with Knopfmacher, John) Maximum length of the Euclidean 
algorithm and continued fractions in F(x). 92f:11039 

Knopfmacher, John see Knopfmacher, Arnold, 92f:11039 

Marlewski, Adam see Jankowski, Leszek, 92b:11012 

Mignotte, Maurice see Glesser, Philippe, 92m:11023 

Recio Muiiiz, Tomas J. Specializing the conditions for the existence of real roots. 92a:11024 

Schinzel, Andrzej A class of polynomials. 92m:11024 


NUMBER THEORY 


— see also Choudhry, Ajai, 92m:11022 
Schulz, William C. Cubics with a rational root. 92¢:11021 
Wowk, Czeslaw Simple roots of polynomials. 92j:11023 


Items with secondary classifications in 11C08 

Amoroso, Francesco Sur le diamétre transfini entier d’un intervalle réel. (English summary) 
[On the entire transfinite diameter of a real interval] 92j:11070 

Bartocci, Umberto (with Vipera, Maria Cristina) On the Gauss-Lucas lemma in positive 
characteristic. (Italian summary) 92j:11144 

Brillhart, John Note on the discriminant of certain cyclotomic period polynomials. 
92k:11116 

Dobrowolski, Edward Mahler’s measure of a polynomial in function of the number of its 
coefficients. 92f:11138 

von zur Gathen, Joachim Tests for permutation polynomials. 92g:11117 

Kaltofen, Erich Polynomial factorization 1982-1986. 92f:12001 

Kolar, Miroslav see Sasaki, Tateaki; et al., 92j:12002 

Maier, Helmut The coefficients of cyclotomic polynomials. 92a:11110 

Philippon, Patrice Dénominateurs dans le théoréme des zéros de Hilbert. [Denominators in 
Hilbert’s Nullstellensatz] 92i:13008 

Pirgov, D. T. An estimate for the modulus of a class of polynomials in a given interval. 
(Bulgarian. English and Russian summaries) 92k:26032 

Sasaki, Mutsuko see Sasaki, Tateaki; et al., 92j:12002 

Sasaki, Tateaki (with Suzuki, Masayuki; Kolaf, Miroslav; Sasaki, Mutsuko) Approximate 
factorization of multivariate polynomials and absolute irreducibility testing. 92j:12002 

Suzuki, Masayuki see Sasaki, Tateaki; et al., 92j:12002 

Vipera, Maria Cristina see Bartocci, Umberto, 92j:11144 


11C20 Matrices, determinants [see also 15A36] 


Diarra, Bertin Remarques sur les matrices orthogonales [resp. symétriques] a coefficients 
p-adiques. [Remarks on orthogonal [resp. symmetric] matrices with p-adic coefficients] 
92£:11040 

ten Have, Gabriélle Matrix solutions of the equation X" = A. 92¢:11022 

Porta, Horacio A. (with Stolarsky, Kenneth B.) Wythoff pairs as semigroup invariants. 
92d:11020 

Raghavan, K. Square root of the Boolean matrix J — J. 92k:11030 

Skula, Ladislav Linear transforms supporting circular convolution on residue class rings. 
(Russian summary) 92a:11025 

Stolarsky, Kenneth B. see Porta, Horacio A., 92d:11020 


Items with secondary classifications in 11C20 

Bhat, B. V. Rajarama On greatest common divisor matrices and their applications. 
92k:15038 

Bhowmik, Gautami Completely multiplicative arithmetical functions of matrices and 
certain partition identities. 92m:11003 

Fee, Greg (with Granville, Andrew) The prime factors of Wendt’s binomial circulant 
determinant. 92f:11183 

Granville, Andrew see Fee, Greg, 92f:11183 

Kano, Hiroyuki? On the sums of digits in integers. 92m:11009 

Katre, S. A. (with Khule, Sangita A.) A discriminant criterion for matrices over orders in 
algebraic numbers fields to be sums of squares. 92m:11125 

Khule, Sangita A. see Katre, S. A., 92m:11125 

Lehmer, D. H. A matrix paraphrase of Kloosterman sums. 92f:11115 


11Dxx Diophantine equations [see also 11Gxx, 14Gxx] 


Cao, Zhen Fu * Diufantu fangcheng yinlun. (Chinese) [Introduction to Diophantine 
equations] 92e:11018 


11D04 Linear equations 


Borosh, I. (with Treybig, L. B.) A sharp bound on positive solutions of linear Diophantine 
equations. 92m:11025 

Brimkov, Valentin E. On a Frobenius problem. (Bulgarian summary) 92f:11041 

Curtis, Frank On formulas for the Frobenius number of a numerical semigroup. 92e:11019 

Landman, Bruce M. (with Portier, Frederick J.; Vaughan, Theresa P.) Concavity properties 
of numbers of solutions of Diophantine equations. 92e:11020 

Portier, Frederick J. see Landman, Bruce M.; et al., 92e:11020 

Treybig, L. B. see Borosh, I., 92m:11025 

Vaughan, Theresa P. see Landman, Bruce M.; et al., 92e:11020 

Wang, Lian Xiang Solutions of x + y = z in numbers which are almost S-units. 92k:11031 


Items with secondary classifications in 11D04 


Contejean, Evelyne (with Devie, Hervé) Résolution de systémes linéaires d’équations 
diophantiennes. (English summary) [Solving linear systems of Diophantine equations] 
92k:11144 

Devie, Hervé see Contejean, Evelyne, 92k:11144 


11D09 Quadratic and bilinear equations 


Cohen, Edward L. On the Diophantine equation x? — Dy? = nz?. 92m:11026 

Conway, John Horton * ax? + hxy + cy? =n. 92£:11042 

Erkomaishvili, G. L. A system of Diophantine equations. (Russian. English and Georgian 
summaries) 92i:11034 

Fassler, Albert Multiple Pythagorean number triples. 92d:11021 

Halter-Koch, Franz On a class of insoluble binary quadratic Diophantine equations. 
92k:11032 

Jenkyns, T. A. (with McCarthy, D.) Integers in Pythagorean triples. 92k:11033 

McCarthy, D. see Jenkyns, T. A., 92k:11033 





173 1992 


Torosyan, B. E. * Metog cnycka K pemienuio 2HOdaHTOBBIX ypaBHeHUh x? + by? = m. 
Aunanoru Teopem Bunscoua x Jieh6xuuua. (Russian) [The method of descent for the 
solution of the Diophantine equations x? + by? = m. Analogues of the theorems of 
Wilson and Leibniz] 92m:11027 

Wada, Kouichi Construction of quadratic irrational numbers with the continued fraction 
expansions of fixed periods and Eisenstein’s problem. 92f:11043 


Items with secondary classifications in 11D09 

Anzin, M. M. Variations of positive quadratic forms (with application to the study of 
perfect forms). (Russian) 92e:15032 

Bundschuh, Peter On the Diophantine equation of Ramanujan-Nagell. 92j:11030 

Freitag, Herta T. A note on ramifications concerning the construction of Pythagorean triples 
from recursive sequences. 92h:11013 

Hardy, Kenneth (with Muskat, Joseph B.; Williams, Kenneth S.) Solving n = au? + buv + 
cv? using the Euclidean algorithm. 92c:11038 

Kalyamanova, K.E. Rational tetrahedra. (Russian) 92b:11014 

La, Hong Wen Atiyah invariant, Hirzebruch sum and Pellian equation. 92k:11046 

Muskat, Joseph B. see Hardy, Kenneth; et al., 92c:11038 

Singh, D. N. Congruence considerations in Diophantine analysis. 92f:11006 

Williams, Kenneth S. see Hardy, Kenneth; et al., 92c:11038 

Zanardo, P. (with Zannier, Umberto) The group of Pythagorean triples in number fields. 
(Italian summary) 92k:11114 

Zannier, Umberto see Zanardo, P., 92k:11114 


11D25 Cubic and quartic equations 


Asar, Aly A. The integral solutions of the Diophantine equation 7y? = x3 + 3", y = 
+1, n>0. (Arabic summary) 92a:11026 

— The integral solutions of the Diophantine equation 7y? = x3 + 2", y=+1, n >0. 
(Arabic summary) 92i:11035 

Berry, T. G. Points at rational distance from the corners of a unit square. 92e:11021 

Cao, Yu Shu On the Diophantine equation X? = Dy‘ + 4. (Chinese. English summary) 
92e:11022 

— On the Diophantine equation x3 + 8 = 3Dy?. (Chinese. English summary) 92c:11023 

— On the Diophantine equation x3 + 1 = Dy”. (Chinese. English summary) 92g:11029 

Choudhry, Ajai The Diophantine equation A* + B* = C4 + D4. 92c:11024 

Cohn, J. H. E. The Diophantine equation X(X + 1) = Y(Y? + 1). 92j:11024 

— The Diophantine equations x3 = Ny? + 1. 92h:11020 

Gaunet, Marie-Laure Formes cubiques polynomiales. (English summary) [Polynomial cubic 
forms] 92a:11027 

Gordon, Jonathan see Zhang, Liang Cheng, 92a:11029 

Guy, Richard K. Tiling the square with rational triangles. 92f:11044 

Katayama, Shin-ichi On products of consecutive integers. 92d:11022 

Kelly, John B. Two equal sums of three squares with equal products. 92j:11025 

Kemnitz, Arnfried Rational quadrangles. 92k:11034 

Makowski, Andrzej On Stroeker’s equation. 92f:11045 

Mignotte, Maurice A note on the equation x? — 1 = y?(z? — 1). 92j:11026 

— (with Tzanakis, N.) Ona family of cubics. 92h:11021 

— (with Tzanakis, N.) Corrigendum and addendum: “On a family of cubics” [J. Number 
Theory 39 (1991), no. 1, 41-49; MR 92h:11021]. 

Mohanty, Shreedhara Prasada see Steiner, Ray, 92d:11023 

Pethé, Attila Complete solutions to families of quartic Thue equations. 92e:11023 

Schinzel, Andrzej Postscript. 92f:11046 

Singh, Raj Narayan The Diophantine equation x* + kx?y? + y* = z?. 92c:11025 

Steiner, Ray (with Mohanty, Shreedhara Prasada) On Mordell’s equation y? — k = x°. 
92d:11023 

Stroeker, R. J. On Diophantine equations of type X4 — 2aX?Y? — bY4 = 1. 92f:11047 

Sun, Qi Some unsolved problems in the Diophantine equations. 92b:11013 

Tzanakis, N. (with de Weger, B. M. M.) Solving a specific Thue-Mahler equation. 
92a:11028 

— see also Mignotte, Maurice, 92h:11021 

de Weger, B. M. M. A Diophantine equation of Antoniadis. 92f:11048 

— see also Tzanakis, N., 92a:11028 

Zhang, Liang Cheng (with Gordon, Jonathan) On unit solutions of the equation xyz = 
x+y +z ina number field with unit group of rank 1. 92a:11029 

Zheng, De Xun Some remarks on the solvability of x* + kx?y? + y* = z?. (Chinese. English 
summary) 92a:11030 


Items with secondary classifications in 11D25 

Althoen, S.C. (with Lacampagne, C. B.) Tetrahedral numbers as sums of square numbers. 
92d:11014 

Bremner, Andrew On the equation Y? = X(X? + p). 92h:11047 

— On the equation y? = x3 + k over function fields. 92j:11051 

— The equation xyz = x + y + z=1 in integers of a quartic field. 92c:11114 

Clark, David Alan An arithmetical function associated with the rank of elliptic curves. 
92¢:11059 

Dardis, J. A. see Rosenstiel, E.; et al., 92i:11134 

Gordon, Jonathan see Zhang, Liang Cheng, 92d:11120 

Lacampagne, C. B. see Althoen, S. C., 92d:11014 

Peng, Tsu Ann On the congruent number problem. 92j:11053 

Rosenstiel, C. R. see Rosenstiel, E.; et al., 92i:11134 

Rosenstiel, E. (with Dardis, J. A.; Rosenstiel, C. R.) The four least solutions in distinct 
positive integers of the Diophantine equation s = x? + y? = 23+ wi =u3+v3=m>+n?. 
92i:11134 

Zhang, Liang Cheng (with Gordon, Jonathan) On unit solutions of the equation xyz = 
x+y +z in not totally real cubic fields. 92d:11120 


11D41 Higher degree equations; Fermat’s equation 
Ayad, M. Sur le théor¢me de Runge. [On Runge’s theorem] 92m:11028 


11D Diophantine equations 


11D61 


Bialek, Krystyna Some remarks on Fermat’s equation. 92f:11049 

Cao, Zhen Fu On the Diophantine equation (ax — 1)/(abx — 1) = by”. 92k:11035 

Choudhry, Ajai Symmetric Diophantine systems. 92g:11030 

Fuchs, Peter Rudolf A note on the Granville-Heath-Brown theorem. 92f:11050 

Granville, Andrew Some conjectures in analytic number theory and their connection with 
Fermat's last theorem. 92a:11031 

— Some conjectures related to Fermat’s last theorem. 92k:11036 

Grytezuk, Aleksander (with Grytczuk, Jaroslaw) On first case of Fermat’s conjecture. 
92f:11051 

— (with Grytczuk, Jarosiaw) A remark on the equation of Fermat. 92a:11032 

— (with Inkeri, K.) On Fermat’s equation in the first case. 92h:11022 

Grytczuk, Jarosiaw see Grytczuk, Aleksander, 92a:11032 and 92f:11051 

Hellegouarch, Yves Théoréme de Terjanian généralisé. (English summary) [A generalization 
of Terjanian’s theorem] 92d:11024 

Inkeri, K. see Grytczuk, Aleksander, 92h:11022 

Kalyamanova, K. E. Rational tetrahedra. (Russian) 92b:11014 

Miller, Allen R. Solutions of Fermat's last equation in terms of Wright’s hypergeometric 
function. 92b:11015 

Rotkiewicz, A. On the Diophantine equation x”? + y?? = z?. 92d:11025 

Simalarides, Anastasios Sophie Germain’s principle and Lucas numbers. 92c:11026 

Terai, Nobuhiro Generalization of Lucas’ theorem for Fermat’s quotient. II. 92a:11033 

Tomescu, Dan (with Vulpescu-Jalea, Florin) On the Fermat’s equation with rational 
exponents. 92a:11034 

Vulpescu-Jalea, Florin see Tomescu, Dan, 92a:11034 

Yamada, Masaharu An approach to Wieferich’s condition. 92f:11052 

Zhong, Cui-Xiang On Fermat’s equation with prime power exponents. 92j:11027 


Items with secondary classifications in 11D41 


Bell, E. T. * The last problem. 92b:01005 

Bombieri, Enrico The Mordell conjecture revisited. 92a:11072 

— Errata-corrige: “The Mordell conjecture revisited” [Ann. Scuola Norm. Sup. Pisa Cl. Sci. 
(4) 17 (1990), no. 4, 615-640; MR 92a:11072]. 92k:11064 

(Dudley, Underwood) see Bell, E. T., 92b:01005 

Fee, Greg (with Granville, Andrew) The prime factors of Wendt’s binomial circulant 
determinant. 92f:11183 

Goldfeld, Dorian Modular elliptic curves and Diophantine problems. 92e:11061 

Granville, Andrew On pairs of coprime integers with no large prime factors. 92m:11095 

— see also Fee, Greg, 92£:11183 

(Lehmer, D. H.) see Bell, E. T., 92b:01005 

Magajna, Bojan Fermat’s equation for polynomials. (Slovenian. English summary) 
92c:11029 

Mazur, Barry C. Number theory as gadfly. 92f:11077 

Ribet, Kenneth A. Lowering the levels of modular representations without multiplicity one. 
92d:11064 

Robert, Alain Michel The Siegel theorem on Diophantine equations. 92k:11065 

Wang, Jun On the Jacobi sums modulo P”. 92g:11120 


11D57 Multiplicative and norm form equations 


Gaal, Istvan (with Pethé, Attila; Pohst, Michael E.) On the resolution of index form 
equations in biquadratic number fields. I, I]. 92g:11031 

Gyéry, K. On arithmetic graphs associated with integral domains. 92h:11023 

— (with Mignotte, Maurice; Shorey, T. N.) On some arithmetical properties of weighted 
sums of S-units. 92h:11024 

Mignotte, Maurice see Gyéry, K.; et al., 92h:11024 

Pethé, Attila Complexity investigations on decomposable form equations. 92j:11028 

— see also Gaal, Istvan; et al., 92g:11031 

Pohst, Michael E. see Gaal, Istvan; et al., 92g:11031 

Schmidt, Wolfgang M. The number of solutions of norm farm equations. 92a:11035 

Shorey, T. N. see Gyéry, K.; et al., 92h:11024 

Wiistholz, G. Diophantische Geometrie: Effektivitat und einige Probleme. [Diophantine 
geometry: efficiency and some problems] 92g:11032 


Items with secondary classifications in !1D57 

Evertse, Jan-Hendrik (with Gyéry, K.) Effective finiteness results for binary forms with 
given discriminant. 92k:11042 

Gaal, Istvan On the computer resolution of index form equations. 92g:11126 

Gaunet, Marie-Laure Formes cubiques polynomiales. (English summary) [Polynomial cubic 
forms] 92a:11027 

Gyéry, K. see Evertse, Jan-Hendrik, 92k:11042 

Mignotte, Maurice (with Tzanakis, N.) Ona family of cubics. 92h:11021 

— (with Tzanakis, N.) Corrigendum and addendum: “On a family of cubics” [J. Number 
Theory 39 (1991), no. 1, 41-49; MR 92h:11021). 

Pethé, Attila Computational methods for the resolution of Diophantine equations. 
92c:11152 

Tzanakis, N. see Mignotte, Maurice, 92h:11021 

Wang, Lian Xiang Solutions of x + y = z in numbers which are almost S-units. 92k:11031 


11D61 Exponential equations 


Alex, Leo J. On the Diophantine equation (¥ + Y)4 = Z*. 92m:11029 

Becker, Paul-Georg Exponential Diophantine equations and the irrationality of certain real 
numbers. 92h:11025 

Brindza, B. (with Erdés, Paul) On some Diophantine problems involving powers and 
factorials. 92i:11036 

— On a special superelliptic equation. . 92j:11029 

Buchmann, Johannes A. (with Gyéry, K.; Mignotte, Maurice; Tzanakis, N.) Lower bounds 
for P(x? +k), an elementary approach. 92c¢:11027 

Bundschuh, Peter On the Diophantine equation of Ramanujan-Nagell. 92j:11030 

Cohen, Edward L. On the Ramanujan-Nagell equation and its generalizations. 92d:11026 





11D61 


Erdés, Paul see Brindza, B., 92i:11036 

Gyéry, K. see Buchmann, Johannes A.; et al., 92c:11027 

Le, Mao Hua On the generalized Ramanujan-Nagell equation x? — D = p". 92i:11037 

— On the number of solutions of the generalized Ramanujan-Nagell equation x? — D = 2"*?. 
92m:11030 

— On the number of solutions to the Diophantine equation x? — D = p”. (Chinese) 
92i:11038 

Marcu, Danut The powers of two and three. 92h:11026 

Mignotte, Maurice see Buchmann, Johannes A.; et al., 92c:11027 

Moree, P. (with Stewart, C. L.) Some Ramanujan-Nagell equations with many solutions. 
92:11053 

Mueller, Julia H. On binomial equations over function fields and a conjecture of Siegel. 
92b:11016 

Schlickewei, Hans Peter S-unit equations over number fields. 92¢:11028 

Stewart, C. L. see Moree, P., 92f:11053 j 

Tzanakis, N. see Buchmann, Johannes A.; et al., 92c:11027 

Wa, Yun Fei On a problem of Hall. (Chinese. English summary) 92m:11031 


Items with secondary classifications in 11D61 

Asar, Aly A. The integral solutions of the Diophantine equation 7y? = x3 + y3", y = 
+1, n>0. (Arabic summary) 92a:11026 

Gyéry, K. (with Mignotte, Maurice; Shorey, T. N.) On some arithmetical properties of 
weighted sums of S-units. 92h:11024 

Mignotte, Maurice see Gyéry, K.; et al., 92h:11024 

Shorey, T. N. (with Tijdeman, R.) On the greatest prime factor of an arithmetical 
progression. II. 92j:11112 

— see also Gyéry, K.; et al., 92h:11024 

Sun, Qi Some unsolved problems in the Diophantine equations. 92b:11013 

Tijdeman, R. see Shorey, T. N., 92j:11112 

Tzanakis, N. (with de Weger, B. M. M.) Solving a specific Thue-Mahler equation. 
92a:11028 

de Weger, B. M. M. see Tzanakis, N., 92a:11028 


11D68 Rational numbers as sums of fractions 
Sander, J. W. On 4/n = 1/x + 1/y + 1/z and Rosser’s sieve. 92j:11031 


Items with secondary classifications in 11D68 

Brown, Tom C. (with Rédl, Vojtéch) Monochromatic solutions to equations with unit 
fractions. 924:05169 

Rédl, Vojtéch see Brown, Tom C., 92d:05169 


11D72 Equations in many variables [see also 11P55] 


Brindza, B. (with Evertse, Jan-Hendrik; Gyéry, K.) Bounds for the solutions of some 
Diophantine equations in terms of discriminants. 92e:11024 

Evertse, Jan-Hendrik see Brindza, B.; et al., 92e:11024 

Gyéry, K. see Brindza, B.; et al., 92e:11024 

Hooley, Christopher On nonary cubic forms. II. 92b:11017 

Lewis, Donald J. Diophantine problems: solved and unsolved. 92f:11054 

Magajna, Bojan Fermat’s equation for polynomials. (Slovenian. English summary) 
92c:11029 

Shapiro, Harold N. (with Shlapentokh, Alexandra) Diophantine relationships between 
algebraic number fields. 92b:11018 

Shlapentokh, Alexandra see Shapiro, Harold N., 92b:11018 

Smyth, C. J. Ideal 9th-order multigrades and Letac’s elliptic curve. 92b:11019 

Stewart, C. L. On the number of solutions of polynomial congruences and Thue equations. 
92j:11032 

Wang, Yuan' * Diophantine equations and inequalities in algebraic number fields. 
92a:11036 

Wooley, Trevor D. On simultaneous additive equations. II. 92e:11025b 

— On simultaneous additive equations. I. 92e:11025a 


Items with secondary classifications in 11D72 

Atkinson, O. D. (with Briidern, Jorg; Cook, Roger J.) Three additive cubic equations. 
92j:11114 

Briidern, Jorg see Atkinson, O. D.; et al., 92j:11114 

Cook, Roger J. see Atkinson, O. D.; et al., 92j:11114 

van den Dries, Lou (with Macintyre, Angus) The logic of Rumely’s local-global principle. 
92e:11144 

Gyéry, K. (with Mignotte, Maurice; Shorey, T. N.) On some arithmetical properties of 
weighted sums of S-units. 92h:11024 

Macintyre, Angus see van den Dries, Lou, 92e:11144 

Mignotte, Maurice see Gyéry, K.; et al., 92h:11024 

Shorey, T. N. see Gyéry, K.; et al., 92h:11024 


11D75 Diophantine inequalities [see also 11J25] 


Briidern, Jorg Additive Diophantine inequalities with mixed powers. III. 92a:11037 

Mazurov, M. E. Solution of Diophantine i lities in p on the synchronization of 
relaxation oscillations. (Russian) 92m:11032 

Stewart, C. L. (with Yu, Kun Rui) On the abc conjecture. 92k:11037 

Yu, Kun Rui see Stewart, C. L., 92k:11037 





Items with secondary classifications in 11D75 

Shan, Zan (with Wang, Edward T.H.) A Diophantine inequality. I]. 92k:11072 
Tijdeman, R. Diophantine equations and Diophantine approximations. 92i:11072 
Wang, Edward T. H. see Shan, Zan; et al., 92k:11072 


Wang, Yuan' * Diophantine equations and inequalities in algebraic number fields. 
92a:11036 


NUMBER THEORY 


11D79 Congruences in many variables 


Cochrane, Todd Small zeros of quadratic forms modulo p. II. 92d:11027 

— Small zeros of quadratic congruences modulo pg. 92d:11029 

— Small zeros of quadratic forms modulo p. III. 92d4:11028 

Ekedahl, Torsten An infinite version of the Chinese remainder theorem. 92h:11027 
Wang, Yuan! On small zeros of quadratic forms over finite fields. 92c:11030 
Wooley, Trevor D. On simultaneous additive equations. III. 92e:11025¢ 


Items with secondary classifications in 11D79 

Lehmer, D. H. The number of solutions of a certain congruence involving the sum of like 
powers. 92f:11005 

Wooley, Trevor D. On simultaneous additive equations. I. 92e:11025a 


11D85 Representation problems [see also 11P55] 


Agrawal, M. K. see Parnami, J. C.; et al., 92k:11039 

Fomenko, O. M. Sums of squares in imaginary quadratic fields. II. (Russian) 92k:11038 

Ismoilov, D. I. Representation of a number as the sum of three products. (Russian. Tajiki 
summary) 92a:11038 

Parnami, J.C. (with Agrawal, M. K.; Rajwade, A. R.) On the representation of —1 as a sum 
of fourth and sixth powers. 92k:11039 

Rajwade, A. R. see Parnami, J. C.; et al., 92k:11039 


Items with secondary classifications in 11D85 


Baker, R.C. (with Briidern, Jorg) Sums of cubes of square-free numbers. 92a:11117 

— (with Briidern, Jérg) Sums of cubes of square-free numbers. II. 92m:11109 

Briidern, Jorg see Baker, R. C., 92a:11117 and 92m:11109 

Eskin, Alex (with Rudnick, Ze’ev; Sarnak, Peter) A proof of Siegel’s weight formula. 
92m:11040 

Granville, Andrew (with Zhu, Yiliang) Representing binomial coefficients as sums of 
squares. 92b:11009 

Gyéry, K. (with Mignotte, Maurice; Shorey, T. N.) On some arithmetical properties of 
weighted sums of S-units. 92h:11024 

Lewis, Donald J. Diophantine problems: solved and unsolved. 92f:11054 

Mignotte, Maurice see Gyéry, K.; et al., 92h:11024 

Rudnick, Ze’ev see Eskin, Alex; et al., 92m:11040 

Sarnak, Peter see Eskin, Alex; et al., 92m:11040 

Shorey, T. N. see Gyéry, K.; et al., 92h:11024 

Tijdeman, R. Diophantine equations and Diophantine approximations. 92i:11072 

Zhu, Yiliang see Granville, Andrew, 92b:11009 


11D88 p-adic and power series fields 


Items with secondary classifications in 11D88 

Atkinson, O. D. (with Briidern, Jorg; Cook, Roger J.) Three additive cubic equations. 
92j:11114 

Briidern, Jorg see Atkinson, O. D.; et al., 92j:11114 

Cook, Roger J. see Atkinson, O. D.; et al., 92j:11114 


11D99 None of the above, but in this section 
Carroll, Joseph E. (with Yanosko, Ken) The determination of a class of primitive integral 
triangles. 92a:11039 


Sandor, Jézsef * On some Diophantine equations involving the factorial of a number. 
92h:11028 
Yanosko, Ken see Carroll, Joseph E., 92a:11039 


11Exx Forms and linear algebraic groups {For quadratic 
forms in linear algebra, see 15A63.} 


(Bertuccioni, Inta) see Knus, Max-Albert, 92i:11039 
Knus, Max-Albert * Quadratic forms, Clifford algebras and spinors. 92e:11026 
— * Quadratic and Hermitian forms over rings. 92i:11039 


11E04 Quadratic forms over general fields 


Alpers, Burkhard Round quadratic forms. 92¢:11031 

Gentile, Enzo R. Round quadratic forms. 92h:11029 

Gross, Herbert On the number of isometry classes of bilinear spaces in uncountable 
dimensions. 92e:11027 

Hornix, E. A. M. Formally real fields with prescribed invariants in the theory of quadratic 
forms. 92f:11055 

Kim, Ki Hang (with Roush, W.) Quadratic forms over C[t;, t2]. 92j:11033 

Kriiskemper, Martin Indecomposable positive quadratic forms. 92a:11040 

Mammone, Pasquale (with Moresi, Remo; Wadsworth, A. R.) u-invariants of fields of 
characteristic 2. 92m:11033 

Moresi, Remo see Mammone, Pasquale; et al., 92m:11033 

Roush, W. see Kim, Ki Hang, 92j:11033 

Wadsworth, A. R. see Mammone, Pasquale; et al., 92m:11033 


Items with secondary classifications in 11E04 


Kopeiko, V. 1. On a theorem of Ojanguren. (Russian) 92g:11040 
Lewis, Donald J. Diophantine problems: solved and unsolved. 92f:11054 


11E08 Quadratic forms over local rings and fields 
Fitzgerald, Robert W. Linked quaternionic quotients and homomorphisms. 92b:11020 





175 1992 


Jiang, Di Hua Theorems on norm groups and genera. (Chinese. English summary) 
92d:11030 

Moresi, Remo Corps 2-henseliens et inégalité de Cauchy-Schwarz. [2-Henselian fields and 
the Cauchy-Schwarz inequality] 92a:11041 


Items with secondary classifications in 11E08 

Jakubec, Stanislav (with Marko, Frantisek) Witt equivalence classes of quartic number 
fields. 92e:11031 

James, Donald G. Orbits in unimodular Hermitian lattices. 92j:11037 

Kriiskemper, Martin On the scaled trace forms and the transfer of a number field extension. 
92m:11034 

Marko, Frantisek see Jakubec, Stanislav, 92e:11031 

Szymiczek, Kazimierz Witt equivalence of global fields. 92d:11031 


11E10 Forms over real fields 


Hornix, E. A. M. Fed-linked fields and formally real fields satisfying B;. 92c:11032 

Mindé, Jaén (with Smith, Tara L.) A characterization of C-fields via Galois groups. 
92¢:11033 

Roy, Asok Kumar Factorisation of a quadratic form. 92c:11034 

Smith, Tara L. see Mindat, Jan, 92c:11033 


Items with secondary classifications in 11E10 


Hornix, E. A.M. Formally real fields with prescribed invariants in the theory of quadratic 
forms. 92f:11055 


11E12 Quadratic forms over global rings and fields 


Bugaenko, V.O. On reflective unimodular hyperbolic quadratic forms. 92g:11033 

Czogaia, Alfred Witt equivalence of quadratic extensions of global fields. 92j:11034 

Elstrodt, J. (with Grunewald, Fritz; Mennicke, Jens) Some examples of representation 
numbers of quadratic forms by quadratic forms. 92a:11042 

Estes, Dennis R. (with Hsia, J.S.) Spinor genera under field extensions. IV. Spinor class 
fields. 92i:11040 

Grunewald, Fritz see Elstrodt, J.; et al., 92a:11042 

Hsia, J.S. see Estes, Dennis R., 92i:11040 

Hung, David C. Even positive definite unimodular quadratic forms over Q(\V/3). 92a:11043 

Kitaoka, Yoshiyuki Representations of positive definite quadratic forms and analytic 
number theory. (Japanese) 92:11056 

Kriiskemper, Martin On the scaled trace forms and the transfer of a number field extension. 
92m:11034 

— Algebraic number field extensions with prescribed trace form. 92m:11035 

Margulis, G. A. Indefinite quadratic forms and unipotent flows on homogeneous spaces. 
92g:11034 

Mennicke, Jens see Elstrodt, J.; et al., 92a:11042 

Peters, Meinhard Indecomposable binary quadratic forms. 92j:11035 

Szymiczek, Kazimierz Witt equivalence of global fields. 92d:11031 

Xu, Fei Spinor norms of global integral rotations. (Chinese. English summary) 92a:11044 

Zhu, Fu Zu On indecomposable and nondecomposable quadratic forms. 92d:11032 


Items with secondary classifications in 11E12 

Bachoc, Christine Sur les réseaux unimodulaires pour Trace(X”). [On unimodular lattices 
for Trace(X2)] 92d:11123 

Boukhobza, Mustapha Espaces quadratiques sur un anneau régulier. [Quadratic spaces over 
a regular ring] 92e:11032 

Cochrane, Todd Small zeros of quadratic forms modulo p. II. 92d:11027 

— Small zeros of quadratic forms modulo p. III. 92d:11028 

Czogata, Alfred On reciprocity equivalence of quadratic number fields. 92h:11090 

Earnest, A.G. Discriminants and class numbers of indefinite integral quadratic forms. 
92i:11042 

— (with Hsia, J. S.) One-class spinor genera of positive quadratic forms. 92m:11039 

Hsia, J.S. see Earnest, A. G., 92m:11039 

Jakubec, Stanislav (with Marko, Frantisek) Witt equivalence classes of quartic number 
fields. 92e:11031 

Margulis, G. A. Lie groups and ergodic theory. 92f:22008 

Marko, Frantisek see Jakubec, Stanislav, 92e:11031 

Morales, Jorge F. The classification of pairs of binary quadratic forms. 92m:11036 

Szymiczek, Kazimierz Matching Witts locally and globally. 92g:11039 


11E16 General binary quadratic forms 


Buell, Duncan A. * Binary quadratic forms. 92b:11021 

Earnest, A.G. Genera of rationally equivalent integral binary quadratic forms. 92k:11040 

Kaplan, Pierre (with Williams, Kenneth S.) The distance between ideals in the orders of a 
real quadratic field. 92e:11028 

Morales, Jorge F. The classification of pairs of binary quadratic forms. 92m:11036 

Williams, Kenneth S. On an assertion of Ramanujan concerning binary quadratic forms. 
92¢:11035 

— see also Kaplan, Pierre, 92e:11028 


Items with secondary classifications in 11E16 

(Gauss, Carl Friedrich) see Ribenboim, Paulo, 92h:11002 

Golubeva, E. P. Indefinite binary quadratic forms with a large number of classes. (Russian) 
92e:11030 

Grover, V. K. (with Raka, M.) On inhomogeneous minima of indefinite binary quadratic 
forms. 92m:11067 

Khare, Satgur Prasad Ramanujan’s function 7(m) and binary quadratic form X? + 23Y?. 
92m:11047 

Peters, Meinhard Indecomposable binary quadratic forms. 92j:11035 

Raka, M. see Grover, V. K., 92m:11067 


11E Forms and linear algebraic groups 


Ribenboim, Paulo Gauss and the class number problem. 92h:11002 
Shanks, Daniel On Gauss and composition. I, II. 92e:11150 


11E20 General ternary and quaternary quadratic forms; forms of 
more than two variables 


Lehman, J. Larry Levels of positive definite ternary quadratic forms. 92f:11057 

Mammone, Pasquale (with Tignol, Jean-Pierre; Wadsworth, A. R.) Fields of characteristic 2 
with prescribed u-invariants. 92g:11035 

Nipp, Gordon L. * Quaternary quadratic forms. 92h:11030 

Tignol, Jean-Pierre see Mammone, Pasquale; et al., 92g:11035 

Wadsworth, A. R. see Mammone, Pasquale; et al., 92g:11035 


Items with secondary classifications in 11E20 

Broer, Bram Hilbert series for ternary forms. 92m:11041 

Elstrodt, J. (with Grunewald, Fritz; Mennicke, Jens) Some examples of representation 
numbers of quadratic forms by quadratic forms. 92a:11042 

Grunewald, Fritz see Elstrodt, J.; et al., 92a:11042 

Mennicke, Jens see Elstrodt, J.; et al., 92a:11042 


11E25 Sums of squares and representations by other particular 
quadratic forms 


Agrawal, M. K. see Parnami, J. C.; et al., 92c:11039 

Colliot-Thélene, Jean-Louis (with Jannsen, Uwe) Sommes de carrés dans les corps de 
fonctions. (English summary) [Sums of squares in function fields] 92c:11036 

Galovich, Steven (with Resnick, Jeremy) Representing primes by binary quadratic forms. 
92c:11037 

Hardy, Kenneth (with Muskat, Joseph B.; Williams, Kenneth S.) Solving n = au? + buv + 
cv? using the Euclidean algorithm. 92c:11038 

James, Donald G. Integral sums of squares in algebraic number fields. 92j:11036 

Jannsen, Uwe see Colliot-Théléne, Jean-Louis, 92c:11036 

Leep, David B. Levels of division algebras. 92g:11036 

Lomadze, G. A. Representation of numbers by the direct sum of quadratic forms of type 
x? + x1x2 + x3. (Russian. English and Georgian summaries) 92m:11037 

— Some arithmetic applications of the theory of modular forms. (Russian) 92k:11041 

Muskat, Joseph B. see Hardy, Kenneth; et al., 92c:11038 

Parnami, J.C. (with Agrawal, M. K.; Rajwade, A. R.) On the stufe of quartic fields. 
92¢:11039 

Rajwade, A. R. see Parnami, J. C.; et al., 92c:11039 

Resnick, Jeremy see Galovich, Steven, 92c:11037 

Vepkhvadze, T. V. Generalized theta functions with characteristics, and representation of 
numbers by quadratic forms. (Russian) 92e:11029 

Williams, Kenneth S. see Hardy, Kenneth; et al., 92c:11038 

Zheng, De Xun On the forms a(x? + 3y”) + 8z? representing the same numbers. (Chinese. 
English summary) 92d:11033 


Items with secondary classifications in 11E25 


Brzezitiski, Juliusz On embedding numbers into quaternion orders. 92e:11133 

(Buck, Nicholas) see Williams, Kenneth S.; et al., 92b:11056 

Conway, John Horton * ax? + hxy + cy? =n. 92f:11042 

Denert, Marleen (with Tignol, Jean-Pierre; Van Geel, Jan; Vast, Nicole) The level of cyclic 
division algebras. 92a:12007 

‘ozette, Danielle Le 17@me probléme de Hilbert et ses développements récents. 

[Hilbert’s 17th problem and recent developments] 92k:12003 

Hardy, Kenneth see Williams, Kenneth S.; et al., 92b:11056 

Jutila, Matti Exponential sums connected with quadratic forms. 92d:11093 

Koch, Helmut V. (with Venkov, B. B.) Uber gerade unimodulare Gitter der Dimension 32. 
III. [Even unimodular lattices of dimension 32. III] 92j:11064 

Kriiskemper, Martin Indecomposable positive quadratic forms. 92a:11040 

(deMille, Iain) see Williams, Kenneth S.; et al., 92b:11056 

Ortega, Jesus J. On the Pythagoras number of a real irreducible algebroid curve. 92a:14065 

Pomykala, Jacek Primes represented by a system of quadratic forms. 92m:11099 

Spearman, Blair K. see Williams, Kenneth S.; et al., 92b:11056 

Tignol, Jean-Pierre see Denert, Marleen; et al., 92a:12007 

Van Geel, Jan see Denert, Marleen; et al., 92a:12007 

Vast, Nicole see Denert, Marleen; et al., 92a:12007 

Venkov, B. B. see Koch, Helmut V., 92j:11064 

Williams, Kenneth S. (with Hardy, Kenneth; Spearman, Blair K.) Explicit evaluation of 
certain Eisenstein sums. 92b:11056 

— On an assertion of Ramanujan concerning binary quadratic forms. 92c:11035 


11E39 Bilinear and Hermitian forms 


Hoffmann, Detlev W. On positive definite Hermitian forms. 92c:11040 

James, Donald G. Orbits in unimodular Hermitian lattices. 92j:11037 

Qin, Hou Rong Positive definite Hermitian forms over imaginary quadratic fields. (Chinese) 

Sergeichuk, V. V. Classification of sesquilinear forms, pairs of Hermitian forms, and 
selfadjoint and isometric operators over the field of quaternions. (Russian) 92i:11041 

Strassen, Volker Degeneration and complexity of bilinear maps: some asymptotic spectra. 
92m:11038 


Items with secondary classifications in 11E39 

(Bertuccioni, Inta) see Knus, Max-Albert, 92i:11039 

Knus, Max-Albert * Quadratic and Hermitian forms over rings. 92i:11039 

Maclachlan, Colin (with Reid, Alan W.) Parametrizing Fuchsian subgroups of the Bianchi 
groups. 924:11040 

Reid, Alan W. see Maclachlan, Colin, 92d:11040 





11E41 


11E41 Class numbers of quadratic and Hermitian forms 


Earnest, A.G. Discriminants and class numbers of indefinite integral quadratic forms. 
92i:11042 

— (with Hsia, J. S.) One-class spinor genera of positive quadratic forms. 92m:11039 

Golubeva, E. P. Indefinite binary quadratic forms with a large number of classes. (Russian) 
92e:11030 

Hsia, J.S. see Earnest, A. G., 92m:11039 

Zhu, Fu Zu Classification of positive definite Hermitian forms over Q(/—11). (Chinese 
summary) 92j:11038 


Items with secondary classifications in 11E41 

Hung, David C. Even positive definite unimodular quadratic forms over Q(V3). 92a:11043 

Lenstra, Hendrik W., Jr. (with Pomerance, Carl) A rigorous time bound for factoring 
integers. 92m:11145 

Pomerance, Carl see Lenstra, Hendrik W., Jr., 92m:11145 

Shastri, Parvati 2-torsion of ideal class groups of Dedekind domains. 92m:11126 


11E45 Analytic theory (Epstein zeta functions; relations with 
automorphic forms and functions) 


Earnest, A.G. (with Nipp, Gordon L.) On the theta series of positive quaternary quadratic 
forms. 92c:11041 

Eskin, Alex (with Rudnick, Ze’ev; Sarnak, Peter) A proof of Siegel’s weight formula. 
92m:11040 

Fang, Chong Hsio (with Yi, Wén Ch’ing) On the values of a zeta function at nonpositive 
integers. 92d:11034 

Lee, Hung Ch’ang On some quadratic forms relative to Eisenstein series. 92a:11045 

Lin, Ts’ung Yiian A reciprocity formula for quadratic forms. 92f:11058 

Nipp, Gordon L. see Earnest, A. G., 92c:11041 

Rudnick, Ze’ev see Eskin, Alex; et al., 92m:11040 

Sarnak, Peter see Eskin, Alex; et al., 92m:11040 

Shavgulidze, K.Sh. The dimension of spaces of generalized quaternary theta series. I. 
(Russian. English and Georgian summaries) 92j:11039 

— Upper bound on the dimension of certain spaces of generalized quaternary theta series. 
III. (Russian. English and Georgian summaries) 92j:11040 

Shushbaev, S. Sh. On the Rankin-Sobolev problem on extrema of the Epstein zeta-function. 
An estimate for the origin of a ray of extremality of the second perfect Voronoi form. 
(Russian) 92a:11046 

Yi, Wén Ch’ing see Fang, Chong Hsio, 92d:11034 


Items with secondary classifications in 11E45 


Bocherer, Siegfried On Yoshida’s theta lift. 92a:11050 

— Uber den Kern der Thetaliftung. (English summary) [On the kernel of the theta lifting] 
92e:11042 

Choie, YoungJu (with Parson, L. Alayne) Rational period functions and indefinite binary 
quadratic forms. II. 92e:11047 

Gafurov, N. On the sum of divisors of irreducible quadratic forms. (Russian. Tajiki 
summary) 92i:11098 

Jutila, Matti Exponential sums connected with quadratic forms. 92d:11093 

Kohnen, Winfried Special quadratic forms, Siegel modular groups and Siegel modular 
varieties. 92a:11057 

Kuang, Jing Hua On the basis problem for Siegel-Hilbert modular forms. 92b:11028 

Lomadze, G. A. Representation of numbers by the direct sum of quadratic forms of type 
x? + xx + x}. (Russian. English and Georgian summaries) 92m:11037 

— Some arithmetic applications of the theory of modular forms. (Russian) 92k:11041 

Nakagawa, J. Erratum: “Binary forms and orders of algebraic number fields” [Invent. Math. 
97 (1989), no. 2, 219-235; MR 90k:11042]. 924:11036 

Parson, L. Alayne see Choie, YoungJu, 92e:11047 

Ponomarev, Paul Theta series mod p and the basis problem for Nebentypus. 92¢:11036 

Saté, Fumihiro The Maass zeta function attached to positive definite quadratic forms. 
92a:11100 

Vepkhvadze, T. V. Generalized theta functions with characteristics, and representation of 
numbers by quadratic forms. (Russian) 92¢e:11029 

Walling, Lynne H. Hecke eigenforms and representation numbers of quadratic forms. 
92g:11048 


11E57 Classical groups [see also 14Lxx, 20Gxx] 


Blanco Martin, Ma. Francisca (with Tena Ayuso, Juan) Structure of the orthogonal group 
of a diagonal bilinear plane. (Spanish. English summary) (see 92b:00044) 

Borovoi, M. V. On weak approximation in homogeneous spaces of simply connected 
algebraic groups. 92g:11037 

Broer, Bram Hilbert series for ternary forms. 92m:11041 

Chu, Hua Orthogonal group actions on rational function fields. 92h:11031 

Kim, Dae San (with Rabau, Patrick) Field extensions and isotropic subspaces in symplectic 
geometry. 92d:11035 

Rabau, Patrick see Kim, Dae San, 92d:11035 

Sury, B. Arithmetic groups and Salem numbers. 92m:11042 

Tena Ayuso, Juan see Blanco Martin, Ma. Francisca, (92b:00044) 


Items with secondary classifications in 11E57 

Costa, Douglas L. (with Keller, Gordon E.) The E(2, A) sections of SL(2, A). 92:20047 

Keller, Gordon E. see Costa, Douglas L., 92f:20047 

Raghunathan, M.S. The congruence subgroup problem. 92i:20048 

Rashid, Laila E.M. Homomorphisms of unitary groups. 92b:20051 

Smillie, John (with Vogtmann, Karen) Automorphisms of SL; of imaginary quadratic 
integers. 92b:20054 

Vogtmann, Karen see Smillie, John, 92b:20054 


NUMBER THEORY 


11E70 K-theory of quadratic and Hermitian forms 


Items with secondary classifications in 11E70 


Karpenko, N. A. Cycles of codimension 3 on a projective quadric. (Russian) 92k:14006 
— Cycles of codimension 3 on a projective quadric. (Russian) 92k:14006 


11E72 Galois cohomology of linear algebraic groups 
[see also 20G10] 


Borovoi, M. V. Weak approximation in homogeneous spaces of algebraic groups. (Russian) 
92i:11043 

Katayama, Shin-ichi Isogenous tori and the class number formulae. 92m:11043 

Nguyen Quoc Thang A note on the Hasse principle. 92b:11022 

— Addenda: “A note on the Hasse principle” [Acta Arith. 54 (1990), no. 3, 171-184; MR 
92b:11022]. 92i:11044 


Items with secondary classifications in 11E72 
Malinin, D. A. On the Bartels-Kitaoka problem. (Russian) 92i:11121 


11E76 Forms of degree higher than two 


Choi, Man Duen (with Lam, T. Y.; Reznick, B.) Positive sextics and Schur’s inequalities. 
92i:11045 

Evertse, Jan-Hendrik (with Gyéry, K.) Effective finiteness results for binary forms with 
given discriminant. 92k:11042 

Gyéry, K. see Evertse, Jan-Hendrik, 92k:11042 

Lam, T. Y. see Choi, Man Duen; et al., 92i:11045 

Nakagawa, J. Erratum: “Binary forms and orders of algebraic number fields” [Invent. Math. 
97 (1989), no. 2, 219-235; MR 90k:11042]. 924:11036 

Powers, Victoria Holomorphy rings and higher level orders on skew fields. 92b:11023 

Reznick, B. see Choi, Man Duen; et al., 92i:11045 

Rollero, Aldo On binary forms of fifth degree. (Italian. English summary) 92g:11038 


Items with secondary classifications in 11E76 


Hooley, Christopher On nonary cubic forms. II. 92b:11017 
Marshall, Murray (with Mulcahy, Colm) The Witt ring of a space of signatures. 92c:11044 
Mulcahy, Colm see Marshall, Murray, 92c:11044 


11E81 Algebraic theory of quadratic forms; Witt groups and rings 
[see also 19G12, 19G24] 


Arason, Jén Kr. (with Elman, Richard) Nilpotence in the Witt ring. 92k:11043 

Elman, Richard see Arason, Jén Kr., 92k:11043 

Fitzgerald, Robert W. Combinatorial techniques and abstract Witt rings. III. 92a:11047 

Jacob, Bill (with Ware, Roger) Realizing dyadic factors of elementary type Witt rings and 
pro-2 Galois groups. 92h:11032 

Jakubec, Stanislav (with Marko, Frantisek) Witt equivalence classes of quartic number 
fields. 92e:11031 

Kahn, Bruno Erratum: “Some remarks on the u-invariant” [Sém. Théor. Nombres Bordeaux 
(2) 2 (1990), no. 1, 155-161; MR 91i:11040]. (French) 92d:11037 

Kalhoff, Franz Witt rings and semiorderings of planar ternary rings. 92c:11042 

Kula, Mieczysiaw Crystal growth and Witt rings. 92c:11043 

Marko, Frantisek see Jakubec, Stanislav, 92e:11031 

Marshall, Murray (with Mulcahy, Colm) The Witt ring of a space of signatures. 92c:11044 

Mulcahy, Colm see Marshall, Murray, 92c:11044 

Parimala, R. (with Sujatha, R.) Witt group of hyperelliptic curves. 92d:11038 

Sujatha, R. see Parimala, R., 92d:11038 

Szymiczek, Kazimierz Matching Witts locally and globally. 92g:11039 

Ware, Roger see Jacob, Bill, 92h:11032 


Items with secondary classifications in 11E81 


Alpers, Burkhard Round quadratic forms. 92¢:11031 

Becker, Eberhard Sums of squares and quadratic forms in real algebraic geometry. (see 
92m:14072) 

(Bertuccioni, Inta) see Knus, Max-Albert, 92i:11039 

Czogata, Alfred On reciprocity equivalence of quadratic number fields. 92h:11090 

— Witt equivalence of quadratic extensions of global fields. 92j:11034 

Epkenhans, Martin Trace forms of dyadic number fields. 92m:11134 

Fitzgerald, Robert W. Linked quaternionic quotients and homomorphisms. 92b:11020 

Hornix, E. A.M. Formally real fields with prescribed invariants in the theory of quadratic 
forms. 92:11055 

Kim, Ki Hang (with Roush, W.) Quadratic forms over C[t;, t2}. 92j:11033 

Knus, Max-Albert * Quadratic and Hermitian forms over rings. 92i:11039 

— (with Ojanguren, Manuel) The Clifford algebra of a metabolic space. 92f:11059 

Kriiskemper, Martin Indecomposable positive quadratic forms. 92a:11040 

— On the scaled trace forms and the transfer of a number field extension. 92m:11034 

— Algebraic number field extensions with prescribed trace form. 92m:11035 

Milgram, R. James (with Ranicki, A. A.) The L-theory of Laurent extensions and genus 0 
function fields. 92d:19006 

Mindé, Jan (with Smith, Tara L.) A characterization of C-fields via Galois groups. 
92¢:11033 

Oguiso, Keiji (with Shioda, Tetsuji) The Mordell-Weil lattice of a rational elliptic surface. 
92g:14036 

Ojanguren, Manuel see Knus, Max-Albert, 92f:11059 

Prészyriski, Andrzej Forms and mappings. IV. Degree 4. (Russian summary) 92d:13003 

Ranicki, A. A. see Milgram, R. James, 92d:19006 

Roush, W. see Kim, Ki Hang, 92j:11033 

Shioda, Tetsuji see Oguiso, Keiji, 92g:14036 

Sladek, Andrzej Witt rings of division algebras over global fields. 92b:12005 





177 1992 


Smith, Tara L. see Mindat, Jan, 92c:11033 
Szymiczek, Kazimierz Witt equivalence of global fields. 92d:11031 


11E88 Quadratic spaces; Clifford algebras [see also 15A63, 
15A66] 


Boukhobza, Mustapha Espaces quadratiques sur un anneau régulier. [Quadratic spaces over 
a regular ring] 92e:11032 

Knus, Max-Albert (with Ojanguren, Manuel) The Clifford algebra of a metabolic space. 
92£:11059 

Kopeiko, V. I. On a theorem of Ojanguren. (Russian) 92g:11040 

Moresi, Remo A remark on the Clifford group of a quadratic form. 92g:11041 

Nekovai, Jan The Maslov index and Clifford algebras. (Russian) 92b:11024 

Ojanguren, Manuel see Knus, Max-Albert, 92f:11059 

Wang, Fang Gui Some results on the discriminant group of a commutative ring. (Chinese. 
English summary) 92a:11048 


Items with secondary classifications in 11E88 

Haile, Darrell On Clifford algebras and conjugate splittings. 92i:12005 

Kahn, Bruno Erratum: “Some remarks on the u-invariant” [Sém. Théor. Nombres Bordeaux 
(2) 2 (1990), no. 1, 155-161; MR 91i:11040]. (French) 92d:11037 

Knus, Max-Albert * Quadratic forms, Clifford algebras and spinors. 92¢:11026 

— (with Parimala, R.; Sridharan, Raman) Pfaffians, central simple algebras and similitudes. 
92f:16019 

Mammone, Pasquale (with Tignol, Jean-Pierre; Wadsworth, A. R.) Fields of characteristic 2 
with prescribed u-invariants. 92g:11035 

Marquez Hernandez, Concepcién M. see Reyes Sanchez, Ma. Victoria, (92b:00044) 

Okubo, Susumu Real representations of finite Clifford algebras. I. Classification. 92i:15022a 

— Real representations of finite Clifford algebras. II. Explicit construction and pseudo- 
octonion. 92i:15022b 

Parimala, R. see Knus, Max-Albert; et al., 92f:16019 

Piziak, Robert Orthomodular lattices and quadratic spaces: a survey. 92i:06015 

Reyes Sanchez, Ma. Victoria (with Marquez Hernandez, Concepcién M.) A parametric 
form over the endomorphism algebra of a progenerator. (Spanish. English summary) (see 
92b:00044) 

Sridharan, Raman see Knus, Max-Albert; et al., 92f:16019 

Tignol, Jean-Pierre see Mammone, Pasquale; et al., 92g:11035 

Wadsworth, A. R. see Mammone, Pasquale; et al., 92g:11035 


11E95 p-adic theory 


Hironaka, Yumiko Spherical functions of Hermitian and symmetric forms over 2-adic 
fields. 92m:11044 


11E99 None of the above, but in this section 


Items with secondary classifications in 11E99 
Gyoja, Akihiko Vector valued invariants of prehomogeneous vector spaces. 92g:20064 


11Fxx Discontinuous groups and automorphic forms 
[see also 11R39, 11837, 14Gxx, 14Kxx, 22E50, 
22E55, 30F35, 32Nxx; for relations with quadratic 
forms, see 11E45] 


Items with secondary classifications in 11Fxx 


Items listed otherwise than by author 
Research on automorphic forms and zeta functions * Hokei keishiki to zéta-kansi no kenkya. 
(Japanese) [Research on automorphic forms and zeta functions] 92d:11001 
Seminar: 
Diophantine Approximation * Diofantasu kinjiron semina. (Japanese) [Seminar on 
Diophantine Approximation] 92i:11004 
Symposium: 
Research on Automorphic Forms and Zeta Functions * Hokei keishiki to zéta-kans0 no 
kenkyd. (Japanese) [Research on automorphic forms and zeta functions] 92d:11001 
Yokohama * Diofantasu kinjiron semina. (Japanese) [Seminar on Diophantine Approxi- 
mation] 92i:11004 


11F03 Modular and automorphic functions 


(Diaz, Guy) see Kohler, Ginter! , 92j:11041 

Kohler, Ginter! Note on a paper by G. Diaz and G. Philibert: “Growth properties of the 
modular function j ” [J. Math. Anal. Appl. 139 (1989), no. 2, 382-389; MR 90e:1 1056). 
92j:11041 

(Philibert, Georges) see Kohler, Ginter! , 92j:11041 


Items with secondary classifications in 11F03 

Dorman, David R. On singular moduli for rank 2 Drinfel’d modules. 92h:11050 

Goldfeld, Dorian Parametrization of modular elliptic curves by Poincaré series. 92k:11060 

Mukhi, Sunil Modular geometry and the classification of rational conformal field theories. 
92k:81187 

Nahm, Werner A proof of modular invariance. 92j:81293 


11F Discontinuous groups and automorphic forms 


11F06 Structure of modular groups and generalizations; 
arithmetic groups [see also 20H05, 20H10, 22E40] 


Cohen, Paula M.S. (with Wolfart, Jirgen) Modular embeddings for some nonarithmetic 
Fuchsian groups. 924:11039 

Fine, Benjamin The Euclidean Bianchi groups. 92e:11033 

Gritsenko, V. A. Parabolic extensions of the Hecke ring of the general linear group. II. 
(Russian. English summary) 92b:11025 

Kulkarni, Ravi S. An arithmetic-geometric method in the study of the subgroups of the 
modular group. 92i:11046 

Maclachlan, Colin (with Reid, Alan W.) Parametrizing Fuchsian subgroups of the Bianchi 
groups. 92d:11040 

Mason, A. W. (with Odoni, R. W. K.; Stothers, W. W.) Almost all Bianchi groups have free, 
noncyclic quotients. 92j:11042 

Odoni, R. W. K. see Mason, A. W.; et al., 92j:11042 

Reid, Alan W. see Maclachlan, Colin, 92d:11040 

Stothers, W. W. see Mason, A. W.; et al., 92j:11042 

Vulakh, L. Ya. Classification of maximal Fuchsian subgroups of some Bianchi groups. 
92i:11047 

Wolfart, Jiirgen see Cohen, Paula M. S., 92d:11039 

Zograf, P.G. A spectral proof of Rademacher’s conjecture for congruence subgroups of the 
modular group. 92d:11041 


Items with secondary classifications in 11F06 

Downs, Martin The Mobius function of PSL2(q), with application to the maximal normal 
subgroups of the modular group. 92d:20071 

Huxley, M. N. Conjugacy classes in congruence subgroups. 92g:11055 

Saito, Kyoji Higher Eichler integrals and vector bundles over the moduli of spinned 
Riemann surfaces. 92m:14035 

Weintraub, Steven H. The abelianization of the theta group in low genus. 92k:11050 


11F11 Modular forms, one variable 


Cohn, Harvey A numerical survey of the reduction of modular curve genus by Fricke’s 
involutions. 92f:11060 

Koo, Ja Kyung Some remark on generalization of Deligne estimate. 92i:11048 

Ohta, Hiroshi? On the g-zero value function and the g-zero division value functions. 
92d:11042 

Ramamani, V. On some algebraic identities connected with Ramanujan’s work. 92k:11044 

Rankin, R. A. Sums of cusp form coefficients. 92g:11042 

Ross, Shepley L., II A simplified trace formula for Hecke operators for T'9(N). 92g:11043 

Sarnak, Peter * Some applications of modular forms. 92k:11045 

Skoruppa, Nils-Peter Heegner cycles, modular forms and Jacobi forms. 92g:11044 

Stark, H. M. On the minimal level of modular forms. 92a:11049 


Items with secondary classifications in 11F11 


Adhikari, Sukumar Das Q-results for sums of Fourier coefficients of cusp forms. 92c:11048 

Behera, N. see Malik, R. P.; et al., 92g:81178 

Berndt, Bruce C. * Ramanujan’s notebooks. Part III. 92j:01069 

Cardy, John L. Operator content and modular properties of higher-dimensional conformal 
field theories. 92j:81263 

Choie, YoungJu (with Parson, L. Alayne) Rational period functions and indefinite binary 
quadratic forms. II. 92e:11047 

Christian, Ulrich Uber elliptische Spitzenformen vom Gewicht g > 2. (English summary) 
[On elliptic cusp forms of weight g > 2] 92m:11045 

Dienes, Keith R. Generalized Atkin-Lehner symmetry. 92e:81189 

Hosoya, Akio (with Nakao, Ken-ichi) (2 + 1)-dimensional quantum gravity. Case of torus 
universe. 92b:81134 

Hou, Bo Yu (with Yue, Rui Hong) Modular invariance and the Feigin-Fuch{s] representa- 
tion of characters for SU,(2) WZW and minimal models. 92a:81178 

Kalara, S. (with Lopez, Jorge L.; Nanopoulos, Dimitri V.) Threshold corrections and 
modular invariance in free fermionic strings. 92g:81148 

Kaul, Romesh K. see Malik, R. P.; et al., 92g:81178 

Ketov, S. V. Modular invariance, self-dual lattices in heterotic string theory in D < 10. 
(Russian) 92¢:81140 

Khare, Satgur Prasad Ramanujan’s function 7(m) and binary quadratic form X? + 23Y?. 
92m:11047 

Kohnen, Winfried Cusp forms and special values of certain Dirichlet series. 92f:11069 

Kramer, Jiirg A Wronskian of Thetanullwerte. 92i:11049 

(Kronecker, Leopold) see Viadut, Sergei G., 92g:11003 

Lee, Min Ho On the Kronecker pairing for mixed cusp forms. 92e:11049 

Lopez, Jorge L. see Kalara, S.; et al., 92g:81148 

Maeda, Yoshitaka see Miyake, Toshitsune, 92i:11053 

Malik, R. P. (with Behera, N.; Kaul, Romesh K.) Correlators of conformal field theories 
from their characters. 92g:81178 

Miyake, Toshitsune (with Maeda, Yoshitaka) On elliptic cyclopean forms. 92i:11053 

Mori, Andrea An integrality criterion for elliptic modular forms. (Italian summary) 
92c:11049 

Mukhi, Sunil Feigin-Fuchs integrals and Rogers-Ramanujam identities in rational 
conformal field theory. (see 92m:81271) 

Nakao, Ken-ichi see Hosoya, Akio, 92b:81134 

Nanopoulos, Dimitri V. see Kalara, S.; et al., 92g:81148 

Narain, K.S. (with Sarmadi, M. H.; Vafa, Cumrun) Asymmetric orbifolds: path integral 
and operator formulations. 92j:81250 

Nishida, Goro Modular forms and the double transfer for BT”. 92f:55018 

Ochanine, Serge Elliptic genera, modular forms over KO, and the Brown-Kervaire 
invariant. 92a:57031 

Ooguri, Hirosi Conformal field theory on a Riemann surface. 92a:81188 

Parson, L. Alayne see Choie, YoungJu, 92e:11047 

(Ramanujan, Srinivasa) see Berndt, Bruce C., 92j:01069 





11F11 


Rankin, R.A. The adjoint Hecke operator. 92c:11047 

Sarmadi, M. H. see Narain, K. S.; et al., 92j:81250 

Schoof, René (with van der Vlugt, Marcel) Hecke operators and the weight distributions of 
certain codes. 92g:94017 

Sidenius, J. Modular invariance of N = 2 minimal models. 92i:81308 

Toon, Andrew Nonsupersymmetric Z, orbifolds and Atkin-Lehner symmetry. 92e:81208 

(Tsfasman, M. A.) see Viadut, Sergei G., 92g:11003 

Ueda, Masaru The trace formulae of twisting operators on the spaces of cusp forms of half- 
integral weight and some trace relations. 92g:11045 

Vafa,Cumrun see Narain, K. S.; et al., 92j:81250 

Viadut, Sergei G. * Kronecker’s Jugendtraum and modular functions. 92g:11003 

van der Viugt, Marcel see Schoof, René, 92g:94017 

Weissauer, R. Der Heckesche Umkehrsatz. [Hecke’s inversion theorem] 92m:11048 

Yue, Rui Hong see Hou, Bo Yu, 92a:81178 


11F12 Automorphic forms, one variable 


Items with secondary classifications in 11F12 

Chibrikova, L. I. Application of the Cauchy type integrals and their generalizations in the 
theory of automorphic functions. 92m:30081 

Efrat, Isaac Automorphic spectra on the tree of PGL2. 92¢:11054 

Hejhal, Dennis A. Eigenvalues of the Laplacian for PSL(2, Z): some new results and 
computational techniques. 92j:11048 

Hoffstein, Jeffrey Theta functions on the n-fold metaplectic cover of SL(2)—the function 
field case. 92k:11049 

Huntley, Jonathan Comparison of Maa8 wave forms. 92m:11046 

Iwaniec, Henryk Small eigenvalues of Laplacian for o(N). 92h:11045 


11F20 Dedekind eta function, Dedekind sums 


Bruggeman, Roelof W. On the distribution of Dedekind sums. 92¢:11045 

Ito, Hiroshi A note on Dedekind sums. 92d:11043 

— Dedekind sums and quadratic residue symbols of imaginary quadratic fields. 92j:11043 
Kurt, V. The multiplier system of modular forms and the Dedekind sums. 

La, Hong Wen Atiyah invariant, Hirzebruch sum and Pellian equation. 92k:11046 
Mason, Geoffrey Elliptic systems and the eta-function. 92b:11026 

Ozliik, Ali E. (with Snyder, Chip) An identity involving Nérlund polynomials. 92c:11046 
Snyder, Chip see Ozliik, Ali E., 92c:11046 


Items with secondary classifications in 11F20 

Christian, Ulrich Uber elliptische Spitzenformen vom Gewicht g > 2. (English summary) 
[On elliptic cusp forms of weight g > 2] 92m:11045 

Cohn, Harvey A numerical survey of the reduction of modular curve genus by Fricke’s 
involutions. 92f:11060 

Hughes, Kim Ramanujan congruences for p_;(m) modulo powers of 17. 92h:11033 

Mikolas, Miklés Einige neuere Aspekte und analytische-technische Anwendungen 
Diophantischer Approximationen. [Some novel aspects and analytical-technical 
applications of Diophantine approximations] 92¢e:11072 

Shin, H. J. Coulomb-gas representation of minimal models on Riemann surfaces. 
92i:81307 

Stark, H. M. On the minimal level of modular forms. 92a:11049 

Toon, Andrew Nonsupersymmetric Z, orbifolds and Atkin-Lehner symmetry. 92e:81208 


11F22 Relationship to Lie algebras and finite simple groups 


Kramer, Jiirg A Wronskian of Thetanullwerte. 92i:11049 
Mason, Geoffrey G-elliptic systems and the genus zero problem for M24. 92b:11027 


Items with secondary classifications in 11F22 

Aldazabal, Gerardo (with Allekotte, Ingomar; Bonini, Marisa; Nufiez, Carmen A.) Partition 
function for the N = 2 superstring on the torus. 92j:81224 

Allekotte, Ingomar see Aldazabal, Gerardo; et al., 92j:81224 

Ardalan, F. (with Arfaei, H.) Toroidal compactification, modular invariants, and orbifolds. 
92h:81142 

— (with Arfaei, H.; Rouhani, S.) SU(2), modular-invariant partition functions from 
orbifolds. 92h:81143 

Arfaei, H. see Ardalan, F., 92h:81142 and 92h:81143 

Aulakh, Charanjit S. (with Mahapatra, Swapna) Even integer lattices from simply laced 
GKO cosets. 92h:17026 

Bauer, Michel (with Itzykson, Claude) Affine characters and modular transformations. 
92£:17025 

— (with Itzykson, Claude) Commutant of modular transformations for affine characters. 
(see 92m:81271) 

Behera, N. see Malik, R. P.; et al., 92f:81178 

Bern, Zvi (with Dunbar, David C.) Nondiagonal modular invariants and extensions of Kac- 
Moody algebras. 92a:17034 

Bonini, Marisa see Aldazabal, Gerardo; et al., 92j:81224 

Dobrev, V. K. (with Ganchev, A. Ch.) On the classification of modular invariants for the 
N = 2 twisted superconformal algebra. 92f:17037 

Dunbar, David C. see Bern, Zvi, 92a:17034 

Ganchev, A. Ch. see Dobrev, V. K., 92£:17037 

Gepner, Doron Fusion rings and geometry. 92j:81271 

Itzykson, Claude From the harmonic oscillator to the A-D-E classification of conformal 
models. 92g:17046 

— see also Bauer, Michel, 92f:17025 and (92m:81271) 

Kaiser, R. K. Classification of GSO projections and rank reduction in the covariant lattice 
formalism. 92k:81149 

Kaul, Romesh K. see Malik, R. P.; et al., 92f:81178 


NUMBER THEORY 


1992 178 


Koh, I. G. (with Ouvry, Stéphane; Todorov, Ivan T.) Chiral partition functions characteriz- 
ing rational conformal models. 92j:81287 

Mahapatra, Swapna see Aulakh, Charanjit S., 92h:17026 

Majid, Shahn (with Soibel'man, Ya. S.) Rank of quantized universal enveloping algebras 
and modular functions. 92k:17025 

— (with Soibel/man, Ya. S.) Chern-Simons theory, modular functions and quantum 
mechanics in an alcove. 92f:81061 

Malik, R. P. (with Behera, N.; Kaul, Romesh K.) Level-one and -two SU(2) Wess-Zumino 
model on higher-genus Riemann surfaces. 92f:81178 

Mason, Geoffrey Elliptic systems and the eta-function. 92b:11026 

Niifiez, Carmen A. see Aldazabal, Gerardo; et al., 92j:81224 

Ol'shanetskii, M. A. Quantum-mechanical calculations in the algebraic group theory. 
92e:20036 

Ooguri, Hirosi (with Petersen, Jens Lyng; Taormina, Anne) Modular invariant partition 
functions for the doubly extended N = 4 superconformal algebras. 92k:17045 

Ouvry, Stéphane see Koh, I. G.; et al., 92j:81287 

Petersen, Jens Lyng (with Taormina, Anne) Modular properties of doubly extended N = 4 
superconformal algebras and their connection to rational torus models. I. 92d:81050 

— see also Ooguri, Hirosi; et al., 92k:17045 

Rouhani, S. see Ardalan, F.; et al., 92h:81143 = 

Ruelle, Ph. (with Thiran, E.; Weyers, J.) Modular invariants for affine SU(3) theories at 
prime heights. 92b:17041 

Schellekens, A. N. (with Yankielowicz, Shimon) Extended algebras, modular invariants 
and fixed points [MR 91g:81149]. (see 92m:81271) 

Soibel/man, Ya. S. see Majid, Shahn, 92f:81061 and 92k:17025 

Taormina, Anne see Petersen, Jens Lyng, 92d:81050 and Ooguri, Hirosi; et al., 92k:17045 

Thiran, E. see Ruelle, Ph.; et al., 92b:17041 

Todorov, Ivan T. see Koh, I. G.; et al., 92j:81287 

Weyers, J. see Ruelle, Ph.; et al., 92b:17041 

Yankielowicz, Shimon see Schellekens, A. N., (92m:81271) 

Zaber, J.-B. Classification of modular invariants made of characters of the Virasoro or Kac- 
Moody algebras. 92¢:81072 


11F25 Hecke-Petersson operators, differential operators (one 
variable) 


Merel, Loic Opérateurs de Hecke pour I'p(N) et fractions continues. (English summary) 
[Hecke operators for 9(N) and continued fractions] 92k:11047 
Rankin, R. A. The adjoint Hecke operator. 92c:11047 


Items with secondary classifications in 11F25 

Deutsch, Jesse Ira Conjectures relating to a generalization of the Ramanujan tau function. 
92h:11036 

Duke, W. (with Iwaniec, Henryk) Estimates for coefficients of L-functions. I. 92f:11068 

Hughes, Kim Ramanujan congruences for p_,(n) modulo powers of 17. 92h:11033 

Iwaniec, Henryk see Duke, W., 92f:11068 

Krieg, Aloys Associative triple systems of Hecke type. 92¢:16003 

La, Hong Wen Hirzebruch sums and Hecke operators. 92f:11153 

Ross, Shepley L., II A simplified trace formula for Hecke operators for p(N). 92g:11043 

Schoof, René (with van der Vlugt, Marcel) Hecke operators and the weight distributions of 
certain codes. 92g:94017 

Silverman, Joseph H. Hecke points on modular curves. 92¢:11066 

Ueda, Masaru Supplement to the decomposition of the spaces of cusp forms of half-integral 
weight and trace formula of Hecke operators. 92d:11046 

van der Vlugt, Marcel see Schoof, René, 92g:94017 

Wang, Xiang Dong The Hecke algebra on the cohomology of I'9(po). 92b:11035 


11F27 Theta series; Weil representation 


Bocherer, Siegfried On Yoshida’s theta lift. 92a:11050 

Flicker, Yuval Z. Explicit realization of a higher metaplectic representation. 92k:11048 

Hoffstein, Jeffrey Theta functions on the n-fold metaplectic cover of SL(2)—the function 
field case. 92k:11049 

Konno, Yasuko Unitary representations with nonzero multiplicities in L?(I'\G). 92d:11044 

Salvati Manni, Riccardo Projective varieties and rings of Thetanullwerte. 92f:11061 

— Thetanullwerte and stable modular forms. II. 92f:11062 


Items with secondary classifications in 11F27 

Andrews, George E. (with Hickerson, Dean) Ramanujan’s “lost” notebook. VII. The sixth 
order mock theta functions. 92i:11027 

Arakawa, T. Real analytic Eisenstein series for the Jacobi group. 92a:11052 

Bocherer, Siegfried Uber den Kern der Thetaliftung. (English summary) [On the kernel of 
the theta lifting] 92e:11042 

— (with Schulze-Pillot, Rainer) Siegel modular forms and theta series attached to 
quaternion algebras. 92f:11066 

Earnest, A. G. (with Nipp, Gordon L.) On the theta series of positive quaternary quadratic 
forms. 92¢:11041 

Fortier, Paul On the number of points on shells for shifted Z*" lattices. 92e:11102 


Friedberg, Solomon (with Wong, Shek-Tung) On the Shimura correspondence for GSp(4). 
92f:11063 


Hickerson, Dean see Andrews, George E., 92i:11027 
Kramer, Jiirg A Wronskian of Thetanullwerte. 92i:11049 


Lomadze, G. A. Some arithmetic applications of the theory of modular forms. (Russian) 
92k:11041 

Nipp, Gordon L. see Earnest, A. G., 92c:11041 

Opolka, Hans Projective vectors of complex Galois representations. 92a:11139 

— Geometry of the finite Fourier transform. 92¢:11149 

Ouzilou, R. * Représentation métaplectique. (French) [Metaplectic representation] 
92j:22029 

Ponomarev, Paul Theta series mod p and the basis problem for Nebentypus. 92¢:11036 





179 1992 


Schulze-Pillot, Rainer see Bécherer, Siegfried, 92f:11066 

Suzuki, Toshiaki Rankin-Selberg convolutions of generalized theta series. 92a:11051 

Walling, Lynne H. Hecke eigenforms and representation numbers of quadratic forms. 
92g:11048 

— On lifting Hecke eigenforms. 92c:11051 

Wong, Shek-Tung see Friedberg, Solomon, 92:11063 

Zagier, Don Periods of modular forms and Jacobi theta functions. 92e:11052 


11F30 Fourier coefficients of automorphic forms 


Adhikari, Sukumar Das Q-results for sums of Fourier coefficients of cusp forms. 92c:11048 

Christian, Ulrich Uber elliptische Spitzenformen vom Gewicht g > 2. (English summary) 
[On elliptic cusp forms of weight g > 2] 92m:11045 

Huntley, Jonathan Comparison of MaaB wave forms. 92m:11046 

Illusie, Lac Cohomologie de de Rham et cohomologie étale p-adique (d’aprés G. Faltings, 
J.-M. Fontaine et al.). [de Rham cohomology and p-adic étale cohomology (following G. 
Faltings, J.-M. Fontaine et al.)] 92e:11034 

Shahidi, F. Best estimates for Fourier coefficients of Maass forms. 92d:11045 

Suzuki, Toshiaki Rankin-Selberg convolutions of generalized theta series. 92a:11051 

Yoshida, Eiji On Fourier coefficients of nonholomorphic Poincaré series. 92i:11050 


Items with secondary classifications in 11F30 

Brzezinski, Juliusz On embedding numbers into quaternion orders. 92e:11133 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) p-adic Whittaker functions on 
the metaplectic group. 924:22024 

Duke, W. (with Iwaniec, Henryk) Sums over primes of the Fourier coefficients of half- 
integral weight cusp forms. 92m:11108 

Dummit, David S. The parity distribution of traces in imaginary quadratic fields. 92c:11133 

Friedberg, Solomon see Bump, Daniel; et al., 92d:22024 

Hejhal, Dennis A. Eigenvalues of the Laplacian for PSL(2, Z): some new results and 
computational techniques. 92j:11048 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92d:22024 

Iwaniec, Henryk Small eigenvalues of Laplacian for [9(N). 92h:11045 

— see also Duke, W., 92m:11108 

Kohnen, Winfried Cusp forms and special values of certain Dirichlet series. 92f:11069 

Krafft, Volker (with Osenberg, Dietmar) Eisensteinreihen fir einige arithmetisch definierte 
Untergruppen von SL2(H). [Eisenstein series for arithmetically defined subgroups of 
SL2(H)] 92f:11067 

Krieg, Aloys Hecke operators with respect to the modular group of quaternions. 92b:11030 

Kudla, Stephen S. (with Millson, John J.) Intersection numbers of cycles on locally 
symmetric spaces and Fourier coefficients of holomorphic modular forms in several 
complex variables. 92e:11035 

Kuo, Chia Nan Fourier coefficients of nonholomorphic modular forms and sums of 
Kloosterman sums. 92a:11053 

Millson, John J. see Kudla, Stephen S., 92e:11035 

Mizumoto, Shin-ichiro Integrality of Eisenstein liftings. 92f:11065 

Osenberg, Dietmar see Krafft, Volker, 92f:11067 

Pei, Ding Yi A basis of Eisenstein series of half-integral weight. 92c:11050 

Rankin, R. A. Sums of cusp form coefficients. 92g:11042 

Sarnak, Peter * Some applications of modular forms. 92k:11045 

Waldspurger, Jean-Loup Correspondances de Shimura et quaternions. [Shimura correspon- 
dences and quaternions] 92g:11054 

Yamazaki, Tadashi Rankin-Selberg method for Siegel cusp forms. 92c:11053 


11F32 Modular correspondences, etc. 


Deitmar, Anton (with Krieg, Aloys) Theta correspondence for Eisenstein series. 92i:11051 

Friedberg, Solomon (with Wong, Shek-Tung) On the Shimura correspondence for GSp(4). 
92f:11063 

Krieg, Aloys see Deitmar, Anton, 92i:11051 

Kudla, Stephen S. (with Millson, John J.) Intersection numbers of cycles on locally 
symmetric spaces and Fourier coefficients of holomorphic modular forms in several 
complex variables. 92e:11035 

Millson, John J. see Kudla, Stephen S., 92e:11035 

Wong, Shek-Tung see Friedberg, Solomon, 92f:11063 


Items with secondary classifications in 11F32 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) On Waldspurger’s theorem. 
92e:11037 

Elkik, R. Le théor¢me de Manin-Drinfel’d. [The Manin-Drinfel’d theorem] 92¢:14018 

Friedberg, Solomon see Bump, Daniel; et al., 92e:11037 

Grenier, Douglas An analogue of Siegel’s g-operator for automorphic forms for GL,,(Z). 
92k:11051 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92e:11037 

Pei, Ding Yi A basis of Eisenstein series of half-integral weight. 92c:11050 

Skoruppa, Nils-Peter Heegner cycles, modular forms and Jacobi forms. 92g:11044 

Ueda, Masaru Some trace relations of twisting operators on the spaces of cusp forms of 
half-integral weight. 92a:11054 

— Newforms of half-integral weight and the twisting operators. 92a:11055 

Waldspurger, Jean-Loup Correspondances de Shimura et quaternions. [Shimura correspon- 
dences and quaternions] 92g:11054 


11F33 Congruences for modular and p-adic modular forms 
[see also 14G20, 22E50] 


Hughes, Kim Ramanujan congruences for p_;(m) modulo powers of 17. 92h:11033 

Khare, Satgur Prasad Ramanujan’s function 7(m) and binary quadratic form X? + 23Y?. 
92m:11047 

Mi Vin’ Kuang Rankin non-Archimedean convolutions of unbounded growth. (Russian) 
92i:11052 


11F Discontinuous groups and automorphic forms 


11F41 


Mori, Andrea An integrality criterion for elliptic modular forms. (Italian summary) 
92¢:11049 


Ponomarev, Paul Theta series mod p and the basis problem for Nebentypus. 92e:11036 


Items with secondary classifications in 11F33 


Chellali, Mustapha Congruences entre nombres de Bernoulli-Hurwitz dans le cas super- 
singulier. [Congruences between Bernoulli-Hurwitz numbers in the supersingular case] 
92£:11079 

Coates, John (with Perrin-Riou, Bernadette) On p-adic L-functions attached to motives 
over Q. 92j:11060a 

— On p-adic L-functions attached to motives over Q. II. 92j:11060b 

Mazur, Barry C. (with Tilouine, J.) Représentations galoisiennes, différentielles de Kahler 
et “conjectures principales”. [Galois representations, Kahler differentials and the “main 
conjectures”) 92e:11060 

Perrin-Riou, Bernadette see Coates, John, 92j:11060a 

Tilouine, J. see Mazur, Barry C., 92e:11060 


11F37 Forms of half-integer weight; nonholomorphic modular 
forms 


Arakawa, T. Real analytic Eisenstein series for the Jacobi group. 92a:11052 


._Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) On Waldspurger’s theorem. 


92e:11037 

Christian, Ulrich Uber die Scatteringmatrix elliptischer Modulgruppen. [On the scattering 
matrix of elliptic modular groups] 92h:11034a 

— Supplement to: “On the scattering matrix of elliptic modular groups”. (German) 
92h:11034b 

Friedberg, Solomon see Bump, Daniel; et al., 92e:11037 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92e:11037 

Kuo, Chia Nan Fourier coefficients of nonholomorphic modular forms and sums of 
Kloosterman sums. 92a:11053 

Maeda, Yoshitaka see Miyake, Toshitsune, 92i:11053 

Miyake, Toshitsune (with Maeda, Yoshitaka) On elliptic cyclopean forms. 92i:11053 

Pei, Ding Yi A basis of Eisenstein series of half-integral weight. 92c:11050 

Ueda, Masaru Some trace relations of twisting operators on the spaces of cusp forms of 
half-integral weight. 92a:11054 

— Newforms of half-integral weight and the twisting operators. 92a:11055 

— Supplement to the decomposition of the spaces of cusp forms of half-integral weight and 
trace formula of Hecke operators. 92d:11046 

— The trace formulae of twisting operators on the spaces of cusp forms of half-integral 
weight and some trace relations. 92g:11045 


Items with secondary classifications in 11F37 

Bykovskii, V. A. (with Kuznetsov, N. V.; Vinogradov, A. I.) Generalized summation 
formula for inhomogeneous convolution. 92b:11064 

Cartier, Pierre (with Voros, André) Une nouvelle interprétation de la formule des traces de 
Selberg. [A new interpretation of the Selberg trace formula] 92m:11049 

Duke, W. (with Iwaniec, Henryk) Sums over primes of the Fourier coefficients of half- 
integral weight cusp forms. 92m:11108 

Im, John Special values of Dirichlet series attached to Hilbert modular forms. 92k:11054 

Iwaniec, Henryk see Duke, W., 92m:11108 

Kohnen, Winfried Modular forms and real quadratic fields. 92h:11039 

Kuznetsov, N. V. see Bykovskii, V. A.; et al., 92b:11064 

Sarnak, Peter * Some applications of modular forms. 92k:11045 

Shimura, Goro The critical values of certain Dirichlet series attached to Hilbert modular 
forms. 92¢:11045 

Skoruppa, Nils-Peter Developments in the theory of Jacobi forms. 92e:11043 

Vinogradov, A. I. see Bykovskii, V. A.; et al., 92b:11064 

Voros, André see Cartier, Pierre, 92m:11049 

Waldspurger, Jean-Loup Correspondances de Shimura et quaternions. [Shimura correspon- 
dences and quaternions] 92g:11054 

Yoshida, Eiji On Fourier coefficients of nonholomorphic Poincaré series. 92i:11050 


11F41 Hilbert and Hilbert-Siegel modular groups and their 
modular and automorphic forms; Hilbert modular surfaces 
[see also 14320] 


Cohn, Harvey Some special complex multiplications in two variables using Hilbert singular 
moduli. 92h:11035 

Deutsch, Jesse Ira Conjectures relating to a generalization of the Ramanujan tau function. 
92h:11036 

Grundman, H. G. The arithmetic genus of Hilbert modular varieties over non-Galois cubic 
fields. 92d:11047 

— On the classification of Hilbert modular threefolds. 92g:11046 

Hermann, Carl Friedrich Modulflachen quadratischer Diskriminante. [Modular surfaces of 
quadratic discriminants] 92e:11038 

Hida, Haruzo On nearly ordinary Hecke algebras for GL(2) over totally real fields. 
92:11064 

Kuang, Jing Hua On the basis problem for Siegel-Hilbert modular forms. 92b:11028 

Sato, Takeshi Uniformizing differential equations of several Hilbert modular orbifolds. 
92g:11047 

Walling, Lynne H. Hecke eigenforms and representation numbers of quadratic forms. 
92g:11048 

— On lifting Hecke eigenforms. 92c:11051 


Items with secondary classifications in 11F41 


Bacherer, Siegfried (with Schulze-Pillot, Rainer) Siegel modular forms and theta series 
attached to quaternion algebras. 92f:11066 
Cohn, Harvey (with Deutsch, Jesse Ira) Some singular moduli for Q(V3). 92k:11131 





11F41 


Deutsch, Jesse Ira see Cohn, Harvey, 92k:11131 

Im, John Special values of Dirichlet series attached to Hilbert modular forms. 92k:11054 

Naganuma, H. Real linear characters of theta groups and modular imbeddings for real 
quadratic fields. 92c:11054 

Schulze-Pillot, Rainer see Bicherer, Siegfried, 92f:11066 

Shimura, Goro The critical values of certain Dirichlet series attached to Hilbert modular 
forms. 92¢:11045 

Stark, H. M. On the minimal level of modular forms. 92a:11049 

Takeuchi, Kisao Algebraic surfaces derived from unit groups of quaternion algebras. 
92i:14023 


11F46 Siegel modular groups and their modular and automorphic 
forms 


Bocherer, Siegfried (with Schulze-Pillot, Rainer) Siegel modular forms arising from 
quaternion algebras. 92c:11052 

Hatada, Kazuyuki Homology groups, differential forms and Hecke rings on Siegel modular 
varieties. 92e:11039 

Kitaoka, Yoshiyuki A note on Klingen’s Eisenstein series. 92a:11056 

Kohnen, Winfried Special quadratic forms, Siegel modular groups and Siegel modular 
varieties. 92a:11057 

Mizumoto, Shin-ichiro Integrality of Eisenstein liftings. 92f:11065 

Ploch, Petra Matrizen mit einem iiber Q irreduziblen charakteristischen Polynom und die 
Dimension des Vektorraums der Spitzenformen zur Modulgruppe n-ten Grades und Stufe 
q > 2. [Matrices with a characteristic polynomial irreducible over Q and the dimension 
of the vector space of cusp forms for the modular group of degree n and level g > 2] 
92d:11048 

Saito, Hiroshi! A generalization of Gauss sums and its applications to Siegel modular forms 
and L-functions associated with the vector space of quadratic forms. 92e:11040 

Schulze-Pillot, Rainer see Bicherer, Siegfried, 92c:11052 

Skoruppa, Nils-Peter Computations of Siegel modular forms of genus two. 92e:11041 

Taylor, Richard Galois representations associated to Siegel modular forms of low weight. 
92j:11044 

Weintraub, Steven H. The abelianization of the theta group in low genus. 92k:11050 

Yamazaki, Tadashi Rankin-Selberg method for Siegel cusp forms. 92c:11053 


Items with secondary classifications in 11F46 

Bocherer, Siegfried On Yoshida’s theta lift. 92a:11050 

Huntley, Jonathan Spectral multiplicity for Gl,(R). 92j:11049 

Kitaoka, Yoshiyuki Representations of positive definite quadratic forms and analytic 
number theory. (Japanese) 92f:11056 

Kohnen, Winfried Certain L-series of Ranking [Rankin]-Selberg type associated to Siegel 
modular forms of degree g. 92b:11032 

— A note on eigenvalues of Hecke operators on Siegel modular forms of degree two. 
92b:11029 

Kudla, Stephen S. (with Millson, John J.) Intersection numbers of cycles on locally 
symmetric spaces and Fourier coefficients of holomorphic modular forms in several 
complex variables. 92e:11035 

Lee, Hung Ch’ang On some quadratic forms relative to Eisenstein series. 92a:11045 

Millson, John J. see Kudla, Stephen S., 92e:11035 

Moret-Bailly, Laurent Sur l’équation fonctionnelle de la fonction théta de Riemann. [On 
the functional equation of the Riemann theta function] 92a:14049 

Murase, Atsushi L-functions attached to Jacobi forms of degree n. II. Functional equation. 
92h:11038 

Niwa, Shinji On generalized Whittaker functions on Siegel’s upper half space of degree 2. 
92d:11050 

Panchishkin, A. A. Non-Archimedean zeta functions that are connected with automorphic 
forms. (Russian) 92f:11075 

Salvati Manni, Riccardo Projective varieties and rings of Thetanullwerte. 92f:11061 

— Thetanullwerte and stable modular forms. II. 92f:11062 

Skoruppa, Nils-Peter Developments in the theory of Jacobi forms. 92e:11043 


11F55 Other groups and their modular and automorphic forms 
(several variables) 


Berndt, Rolf Joachim The continuous part of L?(I’\G/) for the Jacobi group G/. 
92i:11054 

Bocherer, Siegfried Uber den Kern der Thetaliftung. (English summary) [On the kernel of 
the theta lifting] 92e:11042 

— (with Schulze-Pillot, Rainer) Siegel modular forms and theta series attached to 
quaternion algebras. 92f:11066 

Feustel, Jan Eine Klassenzahlformel fiir singulare Moduln der Picardschen Modulgruppen. 
[A class number formula for singular moduli of the Picard modular groups] 92d:11049 

Grenier, Douglas An analogue of Siegel’s g-operator for automorphic forms for GL,(Z). 
92k:11051 

Krafft, Volker (with Osenberg, Dietmar) Eisensteinreihen fir einige arithmetisch definierte 
Untergruppen von SL2(H). [Eisenstein series for arithmetically defined subgroups of 
SL2(H)] 92f:11067 

Kramer, Jiirg A geometrical approach to the theory of Jacobi forms. 92h:11037 

Murase, Atsushi (with Sugano, Takashi) Whittaker-Shintani functions on the symplectic 
group of Fourier-Jacobi type. 92k:11052 

— L-functions attached to Jacobi forms of degree n. II. Functional equation. 92h:11038 

Naganuma, H. Real linear characters of theta groups and modular imbeddings for real 
quadratic fields. 92¢:11054 

Osenberg, Dietmar see Krafft, Volker, 92f:11067 

Schulze-Pillot, Rainer see Bécherer, Siegfried, 92f:11066 

Skoruppa, Nils-Peter Developments in the theory of Jacobi forms. 92e:11043 

Son, Jin Woo see Yang, Jae-Hyun, 92g:11049 

Sugano, Takashi see Murase, Atsushi, 92k:11052 


NUMBER THEORY 


1992 180 


Yang, Jae-Hyun (with Son, Jin Woo) A note on Jacobi forms of higher degree. 92g:11049 
Yii, Wén Ch’ing The Maass space for Cayley numbers. 92k:11053 


Items with secondary classifications in 11F55 


Duke, W. On multiple Salié sums. 92f:11113 

Gritsenko, V. A. The Maass space for SU(2, 2). The Hecke ring, and zeta functions. 
(Russian) 92e:11044 

Huntley, Jonathan (with Tepper, David) A local Weyl’s law, the angular distribution and 
multiplicity of cusp forms on product spaces. 92f:11071 

— Spectral multiplicity for Gl,(R). 92j:11049 

Krieg, Aloys Hecke operators with respect to the modular group of quaternions. 92b:11030 

Saté, Fumihiro The Maass zeta function attached to positive definite quadratic forms. 
92a:11100 

Skoruppa, Nils-Peter Heegner cycles, modular forms and Jacobi forms. 92g:11044 

Tepper, David see Huntley, Jonathan, 92f:11071 

Zagier, Don Periods of modular forms and Jacobi theta functions. 92e:11052 


11F60 Hecke-Petersson operators, differential operators (several 
variables) 


Gritsenko, V.A. The Maass space for SU(2, 2). The Hecke ring, and zeta functions. 
(Russian) 92¢e:11044 

Kohnen, Winfried A note on eigenvalues of Hecke operators on Siegel modular forms of 
degree two. 92b:11029 

Krieg, Aloys Hecke operators with respect to the modular group of quaternions. 92b:11030 

Niwa, Shinji On generalized Whittaker functions on Siegel’s upper half space of degree 2. 
92d:11050 


Items with secondary classifications in 11F60 

Bécherer, Siegfried (with Schulze-Pillot, Rainer) Siegel modular forms arising from 
quaternion algebras. 92c:11052 

Deitmar, Anton (with Krieg, Aloys) Theta correspondence for Eisenstein series. 92i:11051 

Gritsenko, V. A. Parabolic extensions of the Hecke ring of the general linear group. II. 
(Russian. English summary) 92b:11025 

Hatada, Kazuyuki Homology groups, differential forms and Hecke rings on Siegel modular 
varieties. 92e:11039 

Krieg, Aloys see Deitmar, Anton, 92i:11051 

Schulze-Pillot, Rainer see Bocherer, Siegfried, 92c:11052 

Skoruppa, Nils-Peter Computations of Siegel modular forms of genus two. 92¢:11041 

Walling, Lynne H. On lifting Hecke eigenforms. 92c:11051 

Zhuraviev, V.G. Local duality of Hecke operators of the symplectic and orthogonal groups. 
(Russian) 92¢:22039 


11F66 Dirichlet series and functional equations in connection 
with modular forms 


Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) Nonvanishing theorems for L- 
functions of modular forms and their derivatives. 92a:11058 

Duke, W. (with Iwaniec, Henryk) Estimates for coefficients of L-functions. I. 92f:11068 

Friedberg, Solomon see Bump, Daniel; et al., 92a:11058 

Hatcher, Rhonda Lee Heights and L-series. 92b:11031 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92a:11058 

Im, John Special values of Dirichlet series attached to Hilbert modular forms. 92k:11054 

Iwaniec, Henryk see Duke, W., 92f:11068 

Kohnen, Winfried Modular forms and real quadratic fields. 92h:11039 

— Certain L-series of Ranking [Rankin]-Selberg type associated to Siegel modular forms of 
degree g. 92b:11032 

Kurokawa, Nobushige Analyticity of Dirichlet series over prime powers. 92b:11033 

Rohrlich, David E. The vanishing of certain Rankin-Selberg convolutions. 92d:11051 

Shimura, Goro The critical values of certain Dirichlet series attached to Hilbert modular 
forms. 92e:11045 

Vinogradov, A. I. The zeta function of a convolution. (Russian. English summary) 
92e:11046 

Weissauer, R. Der Heckesche Umkehrsatz. [Hecke’s inversion theorem] 92m:11048 


Items with secondary classifications in 11F66 


Adhikari, Sukumar Das (-results for sums of Fourier coefficients of cusp forms. 92c:11048 

Arakawa, T. Real analytic Eisenstein series for the Jacobi group. 92a:11052 

Bocherer, Siegfried (with Schulze-Pillot, Rainer) Siegel modular forms arising from 
quaternion algebras. 92c:11052 

— Uber den Kern der Thetaliftung. (English summary) [On the kernel of the theta lifting] 
92e:11042 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) On Waldspurger’s theorem. 
92e:11037 

Christian, Ulrich Uber elliptische Spitzenformen vom Gewicht g > 2. (English summary) 
[On elliptic cusp forms of weight g > 2] 92m:11045 

Deitmar, Anton (with Krieg, Aloys) Theta correspondence for Eisenstein series. 92i:11051 

Friedberg, Solomon (with Wong, Shek-Tung) On the Shimura correspondence for GSp(4). 
92:11063 

— see also Bump, Daniel; et al., 92e:11037 

Goldfeld, Dorian Modular elliptic curves and Diophantine problems. 92¢e:11061 

Gritsenko, V. A. The Maass space for SU(2, 2). The Hecke ring, and zeta functions. 
(Russian) 92e:11044 

Hoffstein, Jeffrey Theta functions on the n-fold metaplectic cover of SL(2)—the function 
field case. 92k:11049 

— see also Bump, Daniel; et al., 92e:11037 

Huxley, M. N. Modular functions and trigonometric sums. 92a:11093 

Kohnen, Winfried Cusp forms and special values of certain Dirichlet series. 92f:11069 

— A note on eigenvalues of Hecke operators on Siegel modular forms of degree two. 
92b:11029 





181 1992 


Krieg, Aloys see Deitmar, Anton, 92i:11051 

Murase, Atsushi (with Sugano, Takashi) Whittaker-Shintani functions on the symplectic 
group of Fourier-Jacobi type. 92k:11052 

Saito, Hiroshi! A generalization of Gauss sums and its applications to Siegel modular forms 
and L-functions associated with the vector space of quadratic forms. 92e:11040 

Schulze-Pillot, Rainer see Bocherer, Siegfried, 92c:11052 

Skoruppa, Nils-Peter Computations of Siegel modular forms of genus two. 92e:11041 

Sugano, Takashi see Murase, Atsushi, 92k:11052 

Suzuki, Toshiaki Rankin-Selberg convolutions of generalized theta series. 92a:11051 

Wong, Shek-Tung see Friedberg, Solomon, 92f:11063 


11F67 Special values of automorphic L-series, periods of modular 
forms, cohomology, modular symbols 


Choie, YoungJu (with Parson, L. Alayne) Rational period functions and indefinite binary 
quadratic forms. II. 92e:11047 

Hatcher, Rhonda Lee Special values of L-series. 92e:11048 

Iwaniec, Henryk On the order of vanishing of modular L-functions at the critical point. 
92h:11040 

Kohnen, Winfried Cusp forms and special values of certain Dirichlet series. 92f:11069 

Lee, Min Ho On the Kronecker pairing for mixed cusp forms. 92e:11049 

Murty, Maruti Ram (with Murty, V. Kumar) Mean values of derivatives of modular L- 
series. 92e:11050 

Marty, V. Kumar Nonvanishing of L-functions and their derivatives. 92e:11051 

— see also Murty, Maruti Ram, 92e:11050 

Parson, L. Alayne see Choie, YoungJu, 92e:11047 

Zagier, Don Periods of modular forms and Jacobi theta functions. 92e:11052 


Items with secondary classifications in 11F67 

Aomoto, Kazuhiko Finiteness of a cohomology associated with certain Jackson integrals. 
92¢:33035 

Bocherer, Siegfried On Yoshida’s theta lift. 92a:11050 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) On Waldspurger’s theorem. 
92e:11037 

— (with Friedberg, Solomon; Hoffstein, Jeffrey) Eisenstein series on the metaplectic 
group and nonvanishing theorems for automorphic L-functions and their derivatives. 
92e:11053 

— (with Friedberg, Solomon; Hoffstein, Jeffrey) Nonvanishing theorems for L-functions of 
modular forms and their derivatives. 92a:11058 

Coates, John (with Perrin-Riou, Bernadette) On p-adic L-functions attached to motives 
over Q. 92j:11060a 

— On p-adic L-functions attached to motives over Q. II. 92j:11060b 

Colmez, Pierre Une formule du produit pour les périodes des variétés abéliennes a 
multiplication complexe. (English summary) [A product formula for periods of abelian 
varieties with complex multiplication] 92m:11056 

Friedberg, Solomon see Bump, Daniel; et al., 92a:11058; 92e:11037 and 92e:11053 

Hashimoto, Ki-ichiro On zeta and L-functions of finite graphs. 92e:11089 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92a:11058; 92e:11037 and 92e:11053 

Im, John Special values of Dirichlet series attached to Hilbert modular forms. 92k:11054 

Kudla, Stephen S. (with Millson, John J.) Intersection numbers of cycles on locally 
symmetric spaces and Fourier coefficients of holomorphic modular forms in several 
complex variables. 92¢:11035 

Lee, Min Ho Mixed automorphic forms and differential equations. 92f:11073 

Maeda, Yoshitaka see Miyake, Toshitsune, 92i:11053 

Merel, Loic Opérateurs de Hecke pour I'9(N) et fractions continues. (English summary) 
[Hecke operators for '9(N) and continued fractions] 92k:11047 

Millson, John J. see Kudla, Stephen S., 92e:11035 

Miyake, Toshitsune (with Maeda, Yoshitaka) On elliptic cyclopean forms. 92i:11053 

Mizumoto, Shin-ichiro Integrality of Eisenstein liftings. 92f:11065 

Murty, Maruti Ram On simple zeros of certain L-series. 92j:11062 

— Elliptic curves and modular forms. 92k:11067 

Perrin-Riou, Bernadette see Coates, John, 92j:11060a 

Reeder, Mark Modular symbols and the Steinberg representation. 92a:11064 

Rohrlich, David E. The vanishing of certain Rankin-Selberg convolutions. 92d:11051 

— Nonvanishing of L-functions and structure of Mordell-Weil groups. 92¢:11070 

Sato, Takeshi Uniformizing differential equations of several Hilbert modular orbifolds. 
92g:11047 

Shimura, Goro The critical values of certain Dirichlet series attached to Hilbert modular 
forms. 92e:11045 

Skoruppa, Nils-Peter Heegner cycles, modular forms and Jacobi forms. 92g:11044 

Wang, Xiang Dong The Hecke algebra on the cohomology of T'p(po). 92b:11035 

Weissauer, R. Der Heckesche Umkehrsatz. [Hecke’s inversion theorem] 92m:11048 

Zelditch, Steven Geodesics in homology classes and periods of automorphic forms. 
92£:11072 


11F70 Representation-theoretic methods; automorphic 
representations over local and global fields 


Arthur, James Unipotent automorphic representations: global motivation. 92a:11059 

— (with Gelbart, Stephen) Lectures on automorphic L-functions. 92j:11045 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) Eisenstein series on the 
metaplectic group and nonvanishing theorems for automorphic L-functions and their 
derivatives. 92e:11053 

— see also Stade, Eric, 92a:11060 

Clozel, Laurent Représentations galoisiennes associées aux représentations automorphes 
autoduales de GL(n). [Galois representations associated with self-dual automorphic 
representations of GL(n)] 92i:11055 

Flicker, Yuval Z. On the symmetric square: twisted trace formula. 92g:11050 

— On the symmetric square: definitions and lemmas. 92g:11051 


11F Discontinuous groups and automorphic forms 


— On the symmetric square: applications of a trace formula. 92g:11052 

Friedberg, Solomon see Bump, Daniel; et al., 92e:11053 and Stade, Eric, 92a:11060 

Gelbart, Stephen see Arthur, James, 92j:11045 

Ginzburg, David A Rankin-Selberg integral for the adjoint representation of GL;. 92f:11070 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92e:11053 and Stade, Eric, 92a:11060 

Jacquet, Hervé (with Ye, Yangbo) Une remarque sur le changement de base quadratique. 
(English summary) [A remark on the quadratic base change] 92j:11046 

— Représentations distinguées pour le groupe orthogonal. (English summary) [Distinguished 
representations for the orthogonal group] 92h:11041 

Labesse, J.-P. Signature des variétés modulaires de Hilbert et representations diédrales. 
[Signature of Hilbert modular varieties and dihedral representations] 92d:11052 

Langlands, Robert P. Representation theory: its rise and its role in number theory. 
92d:11053 

Li, Jian-Shu Kloosterman-Selberg zeta functions on complex hyperbolic spaces. 92k:11055 

Li, Wen-Ch’ing Winnie The role of Fourier transform in correspondences of representations 
of degree two algebras. 92h:11042 

Proskurin, N. V. On some discrete subgroups in the exceptional group G2(C) in connection 
with Eisenstein series. (Russian. English summary) 92g:11053 

Stade, Eric On explicit integral formulas for GL(n, R)-Whittaker functions. 92a:11060 

Tamir, Boaz On L-functions and intertwining operators for unitary groups. 92j:11047 

Waldspurger, Jean-Loup Correspondances de Shimura et quaternions. [Shimura correspon- 
dences and quaternions] 92g:11054 

Ye, Yangbo see Jacquet, Hervé, 92j:11046 


Items with secondary classifications in 11F70 


Barthel, Laure Local Howe correspondence for groups of similitudes. 92g:22037 

Berndt, Rolf Joachim The continuous part of L?(I/\G/) for the Jacobi group G’. 
92i:11054 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) p-adic Whittaker functions on 
the metaplectic group. 92d:22024 

Burger, Mare (with Sarnak, Peter) Ramanujan duals. II. 92m:22005 

— (with Li, Jian-Shu; Sarnak, Peter) Ramanujan duals and automorphic spectrum. 
92h:22023 

Flicker, Yuval Z. Explicit realization of a higher metaplectic representation. 92k:11048 

— On distinguished representations. 92i:22019 

Friedberg, Solomon see Bump, Daniel; et al., 92d:22024 

Grenier, Douglas An analogue of Siegel’s g-operator for automorphic forms for GL,(Z). 
92k:11051 

Gritsenko, V. A. Parabolic extensions of the Hecke ring of the general linear group. II. 
(Russian. English summary) 92b:11025 

Gross, Benedict H. (with Prasad, Dipendra) Test vectors for linear forms. 92k:22028 

Hakim, Jeff Distinguished p-adic representations. 92c:22037 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92d:22024 

Joyner, David On twisted orbital integral identities for PGL(3) over a p-adic field. 
92d:22026 

Kottwitz, Robert E. Shimura varieties and A-adic representations. 92b:11038 

Li, Jian-Shu see Burger, Marc; et al., 92h:22023 

Meeglin, C. Orbites unipotentes et spectre discret non ramifié: le cas des groupes classiques 
déployés. [Unipotent orbits and nonramified discrete spectrum: the case of split classical 
groups] 92d:11054 

Prasad, Dipendra see Gross, Benedict H., 92k:22028 

Ramakrishnan, Dinakar On certain Artin L-series. 92j:11136 

Rohifs, Jiirgen (with Speh, Birgit) A note on multiplicities of singular representations in the 
discrete spectrum of SL(2,R)/T. 92a:22019 

Rohrlich, David E. Nonvanishing of L-functions and structure of Mordell-Weil groups. 
92e:11070 

Sarnak, Peter (with Xue, Xiao Xi) Bounds for multiplicities of automorphic representa- 
tions. 92h:22026 

— see also Burger, Marc; et al., 92h:22023 and 92m:22005 

(Schmid, Wilfried) see Vogan, David A., Jr., 92e:22025 

Schwermer, Joachim Cohomology of arithmetic groups, automorphic forms and L- 
functions. 92e:11059 

Shahidi, F. Best estimates for Fourier coefficients of Maass forms. 92d:11045 

Shokranian, Salahoddin L?-cohomology and Hecke operators. 92i:11056 

Speh, Birgit see Rohlfs, Jiirgen, 92a:22019 

Suzuki, Toshiaki Rankin-Selberg convolutions of generalized theta series. 92a:11051 

Vogan, David A., Jr. * Representations of reductive Lie groups. 92e:22025 

Waldspurger, Jean-Loup Sur les intégrales orbitales tordues pour les groupes linéaires: 
un lemme fondamental. [On twisted orbital integrals for linear groups: a fundamental 
lemma] 92k:22030 

Wallach, Nolan R. Limit multiplicities in L?(I\G). 92£:22020 

Wang, Shu Ping Embedding of Flensted-Jensen modules in L?(I'\G) in the noncompact 
case. 92h:22035 

Xue, Xiao Xi see Sarnak, Peter, 92h:22026 

Zhuravlev, V.G. Local duality of Hecke operators of the symplectic and orthogonal groups. 
(Russian) 92¢:22039 


11F72 Spectral theory; Selberg trace formula 


Cartier, Pierre (with Voros, André) Une nouvelle interprétation de la formule des traces de 
Selberg. [A new interpretation of the Selberg trace formula] 92m:11049 

Christian, Ulrich Uber “Primzahisatze” fiir hyperbolische Klassen und die Konvergenz- 
abszisse der logarithmischen Ableitung einer Selberg’schen Zetafunktion fir elliptische 
Modulgruppen. [On “prime theorems” for hyperbolic classes and the convergence ab- 
scissa of the logarithmic derivative of a Selberg zeta function for elliptic modular groups} 
92k:11056 

Deitmar, Anton The Selberg trace formula and the Ruelle zeta function for compact 
hyperbolics. 92b:11034 

Efrat, Isaac Automorphic spectra on the tree of PGL2. 92e:11054 





11F72 


Hejhal, Dennis A. Regular b-groups, degenerating Riemann surfaces, and spectral theory. 
92h:11043 

— Eigenvalues of the Laplacian for PSL(2, Z): some new results and computational 
techniques. 92j:11048 

Hoffmann, Werner Cuspidal functions and Diophantine approximation. 92h:11044 

Huntley, Jonathan (with Tepper, David) A local Weyl’s law, the angular distribution and 
multiplicity of cusp forms on product spaces. 92f:11071 

— Spectral multiplicity for Gl,(R). 92j:11049 

Huxley, M. N. Conjugacy classes in congruence subgroups. 92g:11055 

Iwaniec, Henryk Small eigenvalues of Laplacian for To(N). 92h:11045 

Labesse, J.-P. The present state of the trace formula. 92e:11055 

Meeglin, C. Orbites unipotentes et spectre discret non ramifié: le cas des groupes classiques 
déployés. [Unipotent orbits and nonramified discrete spectrum: the case of split classical 
groups] 92d:11054 

Osborne, M. Scott (with Warner, Garth) The Selberg trace formula. VIII. Contribution 
from the continuous spectrum. 92e:11056 

Perry, Peter A. The Selberg zeta function and a local trace formula for Kleinian groups. 
92e:11057 

Phillips, Ralph S. (with Sarnak, Peter) The spectrum of Fermat curves. 92a:11061 

— (with Sarnak, Peter) Perturbation theory for the Laplacian on automorphic functions. 
92g:11056 

Sarnak, Peter see Phillips, Ralph S., 92a:11061 and 92g:11056 

Shokranian, Salahoddin L?-cohomology and Hecke operators. 92i:11056 

— The twisted L?-Lefschetz number of Hecke operators. 92m:11050 

Tepper, David see Huntley, Jonathan, 92f:11071 

Venkov, A. B. On the Selberg trace formula for an automorphic Schrédinger operator. 
(Russian) 92m:11051 

Voros, André see Cartier, Pierre, 92m:11049 

Wallace, D. I. Terms in the Selberg trace formula for SL(3,2)\SL(3, #)/SO(3,. 2) 
associated to Eisenstein series coming from a minimal parabolic subgroup. 92a:11062 

Warner, Garth see Osborne, M. Scott, 92e:11056 

Williams, Floyd L. * Lectures on the spectrum of L?(I'\G). 92¢:11055 

Zelditch, Steven Geodesics in homology classes and periods of automorphic forms. 
92f:11072 

— Mean Lindeléf hypothesis and equidistribution of cusp forms and Eisenstein series. 
92h:11046 


Items with secondary classifications in 11F72 

Arthur, James Unipotent automorphic representations: global motivation. 92a:11059 

— A local trace formula. 92f:22029 

Christian, Ulrich Uber die Scatteringmatrix elliptischer Modulgruppen. [On the scattering 
matrix of elliptic modular groups] 92h:11034a 

— Supplement to: “On the scattering matrix of elliptic modular groups”. (German) 
92h:11034b 

Efrat, Isaac Erratum: “Determinants of Laplacians on surfaces of finite volume” [Comm. 
Math. Phys. 119 (1988), no. 3, 443-451; MR 90c:58184]. 92¢:58149 

Flicker, Yuval Z. On the symmetric square: applications of a trace formula. 92g:11052 

Grosche, Christian Selberg supertrace formula for super Riemann surfaces, analytic 
properties of Selberg super zeta-functions and multiloop contributions for the fermionic 
string. 92e:58225 

Huntley, Jonathan Comparison of MaaB wave forms. 92m:11046 

Kurokawa, Nobushige Multiple sine functions and Selberg zeta functions. 92d:11094 

Labesse, J.-P. Signature des variétés modulaires de Hilbert et representations diédrales. 
[Signature of Hilbert modular varieties and dihedral representations] 92d:11052 

Lai, K. F. On Arthur’s class expansion of the relative trace formula. 92k:22031 

Li, Jian-Shu Kloosterman-Selberg zeta functions on complex hyperbolic spaces. 92k:11055 

Mandouwvalos, N. Scattering operator and Eisenstein integral for Kleinian groups. 
92e:58220 

Matthies, C. (with Steiner, F.) Selberg’s ¢ function and the quantization of chaos. 
92k:81042 

Osborne, M. Scott (with Warner, Garth) The Selberg trace formula. VII. Application of the 
truncation process to the continuous spectrum. 92a:22018 

Perry, Peter A. The Selberg zeta function and scattering poles for Kleinian groups. 
924:58213 

Rohrlich, David E. The vanishing of certain Rankin-Selberg convolutions. 92d:11051 

Ross, Shepley L., II A simplified trace formula for Hecke operators for I'9(N). 92g:11043 

Sarnak, Peter (with Xue, Xiao Xi) Bounds for multiplicities of automorphic representa- 
tions. 92h:22026 

Steiner, F. see Matthies, C., 92k:81042 

Takase, Koichi On special values of Selberg type zeta functions on SU(1,q + 1). 92k:11090 

Ueda, Masara Some trace relations of twisting operators on the spaces of cusp forms of 
half-integral weight. 92a:11054 

— The trace formulae of twisting operators on the spaces of cusp forms of half-integral 
weight and some trace relations. 92g:11045 

Voros, André Analyse semi-classique de la formule des traces de Selberg (début). [Semiclas- 
sical analysis of the Selberg trace formula (first part)] 92a:58150 

Warner, Garth see Osborne, M. Scott, 92a:22018 

Wolpert, Scott A. The spectrum of a Riemann surface with a cusp. 92f:58191 

Xue, Xiao Xi On the first Betti numbers of hyperbolic surfaces. 92g:22030 

— see also Sarnak, Peter, 92h:22026 

Yoshida, Eiji On the order of growth of the Kloosterman zeta function. 92k:11091 

Zograf, P.G. A spectral proof of Rademacher’s conjecture for congruence subgroups of the 
modular group. 92d:11041 


11F75 Cohomology of arithmetic groups 


Ash, Avner (with Borel, Armand) Generalized modular symbols. 92e:11058 
Borel, Armand see Ash, Avner, 92e:11058 

Lai, K. F. Lefschetz numbers and unitary groups. 92a:11063 

Lee, Min Ho Mixed automorphic forms and differential equations. 92:11073 


NUMBER THEORY 1992 182 


Reeder, Mark Modular symbols and the Steinberg representation. 92a:11064 

Rohlfs, Jiirgen Lefschetz numbers for arithmetic groups. 924:11055 

— (with Speh, Birgit) Boundary contributions to Lefschetz numbers for arithmetic groups. 
I. 924:11056 

Schwermer, Joachim Cohomology of arithmetic groups, automorphic forms and L- 
functions. 92e:11059 

Speh, Birgit see Rohifs, Jiirgen, 92d:11056 

Wang, Xiang Dong The Hecke algebra on the cohomology of I'9(po). 92b:11035 


Items with secondary classifications in 11F75 


Konno, Yasuko Unitary representations with nonzero multiplicities in L?(I\G). 92d:11044 

Labesse, J.-P. Signature des variétés modulaires de Hilbert et representations diédrales. 
[Signature of Hilbert modular varieties and dihedral representations] 92d:11052 

Lee, Min Ho On the Kronecker pairing for mixed cusp forms. 92¢:11049 

McConnell, Mark Classical projective geometry and arithmetic groups. 92k:22020 

Reeder, Mark Old forms on GL,. 92i:22018 


11F80 Galois properties 


Boston, Nigel (with Mazur, Barry C.) Explicit universal deformations of Galois representa- 
tious. 92¢:11056 

— (with Lenstra, Hendrik W., Jr.; Ribet, Kenneth A.) Quotients of group rings arising from 
two-dimensional representations. (French summary) 92¢:11057 

Lenstra, Hendrik W., Jr. see Boston, Nigel; et al., 92c:11057 

Mazur, Barry C. (with Tilouine, J.) Représentations galoisiennes, différentielles de Kahler 
et “conjectures principales”. [Galois representations, Kahler differentials and the “main 
conjectures”) 92e:11060 

— see also Boston, Nigel, 92c:11056 

Ribet, Kenneth A. see Boston, Nigel; et al., 92c:11057 

Tilouine, J. see Mazur, Barry C., 92e:11060 


Items with secondary classifications in 11F80 

Clozel, Laurent Représentations galoisiennes associées aux représentations automorphes 
autoduales de GL(n). [Galois representations associated with self-dual automorphic 
representations of GL(n)] 92i:11055 

Edixhoven, Bas L’action de l’algebre de Hecke sur les groupes de composantes des 
jacobiennes des courbes modulaires est “Eisenstein”. (English summary) [The action 
of the Hecke algebra on the component groups of Jacobians of modular curves is 
“Eisenstein”] 92k:11059 

Ribet, Kenneth A. Lowering the levels of modular representations without multiplicity one. 
92d:11064 

Taylor, Richard Galois representations associated to Siegel modular forms of low weight. 
92j:11044 


11F85 p-adic theory, local fields [see also 14G20, 22E50] 


Bayer, Pilar The Eichler-Shimura theorem and its non-Archimedean analogues. (Spanish) 
92:11074 

Coleman, Robert F. (with Gross, Benedict H.) p-adic heights on curves. 92d:11057 

Gross, Benedict H. see Coleman, Robert F., 92d:11057 

Hida, Haruzo Le produit de Petersson et de Rankin p-adique. [The p-adic Rankin and 
Petersson products] 92i:11057 

Panchishkin, A. A. Non-Archimedean zeta functions that are connected with automorphic 
forms. (Russian) 92f:11075 

Schneider, Peter (with Stuhler, U.) The cohomology of p-adic symmetric spaces. 
92k:11057 

Stuhler, U. see Schneider, Peter, 92k:11057 


Items with secondary classifications in 11F85 

Boston, Nigel (with Mazur, Barry C.) Explicit universal deformations of Galois representa- 
tions. 92¢:11056 

Hida, Haruzo On nearly ordinary Hecke algebras for GL(2) over totally real fields. 
92£:11064 

Koch, Helmut V. Eisenstein polynomial sequences and conjugacy classes of division 
algebras over local fields. 92j:11143 

Mazur, Barry C. (with Tilouine, J.) Représentations galoisiennes, différentielles de Kahler 
et “conjectures principales”. [Galois representations, Kahler differentials and the “main 
conjectures”] 92¢:11060 

— see also Boston, Nigel, 92c:11056 

Teitelbaum, Jeremy T. The Poisson kernel for Drinfel’d modular curves. 92¢:11060 

Tilouine, J. see Mazur, Barry C., 92e:11060 


11Gxx Arithmetic algebraic geometry (Diophantine 
geometry) [see also 11Dxx, 14Gxx, 14Kxx] 


11G05_ Elliptic curves over global fields [see also 14H52] 

Balasubramanian, Ramachandran (with Murty, Maruti Ram) Elliptic pseudoprimes. II. 
92f:11076 

Bashmakov, M.I. Rational points on elliptic curves. (Russian) 92j:11050 

Bayer, Pilar (with Frey, Gerhard) Galois representations of octahedral type and 2-coverings 
of elliptic curves. 92d:11058 

Bremner, Andrew On the equation Y? = X(X? + p). 92h:11047 

— On the equation y? = x3 + k over function fields. 92j:11051 

Bremner, Murray R. Modular invariant Virasoro modules and elliptic curves. 92a:11065 

Cassels, J. W.S. * Lectures on elliptic curves. 92k:11058 

Cassou-Nogues, Philippe (with Srivastav, Anupam) On Taylor’s conjecture for Kummer 
orders. 92¢:11058 





183 1992 


Clark, David Alan An arithmetical function associated with the rank of elliptic curves. 
92¢:11059 

Edixhoven, Bas On the Manin constants of modular elliptic curves. 92a:11066 

— L’action de l’algébre de Hecke sur les groupes de composantes des jacobiennes des courbes 
modulaires est “Eisenstein”. (English summary) [The action of the Hecke algebra on the 
component groups of Jacobians of modular curves is “Eisenstein”] 92k:11059 

Flynn, E. V. Large rational torsion on abelian varieties. 92b:11036 

Frey, Gerhard see Bayer, Pilar, 92d:11058 

Goldfeld, Dorian Parametrization of modular elliptic curves by Poincaré series. 92k:11060 

— Modular elliptic curves and Diophantine problems. 92e:11061 

Hindry, Mare (with Silverman, Joseph H.) On Lehmer’s conjecture for elliptic curves. 
92e:11062 

Kamienny, S. Torsion points on elliptic curves. 92a:11067 

Mazur, Barry C. Number theory as gadfly. 92f:11077 

Mestre, Jean-Francois Courbes elliptiques de rang > 11 sur Q(t). (English summary) 
[Elliptic curves with rank > 11 over Q(t)] 92j:11052 

— Courbes elliptiques de rang > 12 sur Q(t). (English summary) [Elliptic curves with rank 
> 12 over Q(t)] 92m:11052 

Murty, Maruti Ram see Balasubramanian, Ramachandran, 92f:11076 

Peng, Tsu Ann On the congruent number problem. 92j:11053 

Plater, A. An orthogonality relation on the points of an elliptic curve. 92i:11058 

Ross, Raymond XK; of elliptic curves with sufficient torsion over Q. 92k:11061 

Rubin, Karl Tate-Shafarevich groups of elliptic curves with complex multiplication. 
92£:11078 

Schneiders, U. (with Zimmer, Horst Ginter) The rank of elliptic curves upon quadratic 
extension. 92m:11053 

Shioda, Tetsuji An infinite family of elliptic curves over Q with large rank via Néron’s 
method. 92h:11048 

— Construction of elliptic curves with high rank via the invariants of the Weyl groups. 
92i:11059 

Silverman, Joseph H. see Hindry, Marc, 92e:11062 

Srivastav, Anupam see Cassou-Nogues, Philippe, 92c:11058 

Stephens, Nelson Computation of rational points on elliptic curves using Heegner points. 
92m:11054 

Washington, Lawrence C. Number fields and elliptic curves. 92e:11063 

Wingberg, Kay On a Galois extension with restricted ramification related to the Selmer 
group of an elliptic curve with complex multiplication. 92d:11059 

Zimmer, Horst Ginter Computational aspects of the theory of elliptic curves. 92g:11057 

— see also Schneiders, U., 92m:11053 


Items with secondary classifications in 11G05 


Bremner, Andrew Some simple elliptic surfaces of genus zero. 92i:14037 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) Nonvanishing theorems for L- 
functions of modular forms and their derivatives. 92a:11058 

Cassou-Nogués, Philippe (with Taylor, Martin J.) Un élément de Stickelberger quadratique. 
(English summary) [A quadratic Stickelberger element] 92¢:11125 

Coates, John Elliptic curves with complex multiplication and Iwasawa theory. 92i:11115 

Feng, Ke Qin On the even part of BSD conjecture for elliptic curves with complex 
multiplication by Z[(1 + V—7)/2]. 92j:11061 

— On the BSD conjecture for series of elliptic curves with complex multiplication. 
92i:11066 

Friedberg, Solomon see Bump, Daniel; et al., 92a:11058 

Gordon, Daniel M. (with Pomerance, Carl) The distribution of Lucas and elliptic 
pseudoprimes. 92h:11081 

Gouvéa, F. (with Mazur, Barry C.) The square-free sieve and the rank of elliptic curves. 
92b:11039 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92a:11058 

Kolyvagin, V. A. Euler systems. 92g:11109 

Mazur, Barry C. see Gouvéa, F., 92b:11039 

McCallum, William G. Kolyvagin’s work on Shafarevich-Tate groups. 92m:11062 

Marty, Maruti Ram On simple zeros of certain L-series. 92j:11062 

— (with Murty, V. Kumar) Mean values of derivatives of modular L-series. 92¢:11050 

— Elliptic curves and modular forms. 92k:11067 

Murty, V. Kumar Nonvanishing of L-functions and their derivatives. 92¢:11051 

— see also Murty, Maruti Ram, 92e:11050 

Oesterlé, Joseph Empilements de sphéres. [Sphere packings] 92g:11067 

Opolka, Hans Projective vectors of complex Galois representations. 92a:11139 

Perrin-Riou, Bernadette Travaux de Kolyvagin et Rubin. [Work of Kolyvagin and Rubin] 
92:11085 

Pomerance, Carl see Gordon, Daniel M., 92h:11081 

Ribet, Kenneth A. Lowering the levels of modular representations without multiplicity one. 
92d:11064 

Rohrlich, David E. Nonvanishing of L-functions and structure of Mordell-Weil groups. 
92e:11070 

Rosen, Michael I. Some confirming instances of the Birch-Swinnerton-Dyer conjecture over 
biquadratic fields. 92i:11067 

Rubin, Karl The one-variable main conjecture for elliptic curves with complex multiplica- 
tion. 92j:11055 

— The “main conjectures” of Iwasawa theory for imaginary quadratic fields. 92f:11151 

— p-adic L-functions and rational points on elliptic curves with complex multiplication. 
92m:11063 

Shioda, Tetsuji Mordell-Weil lattices and sphere packings. 92m:11066 

Skoruppa, Nils-Peter Heegner cycles, modular forms and Jacobi forms. 92g:11044 

Smyth, C. J. Ideal 9th-order multigrades and Letac’s elliptic curve. 92b:11019 

Szpiro, Lucien Sur les propriétés numériques du dualisant relatif d'une surface 
arithmétique. [On the numerical properties of the relative dualizing sheaf of an arithmetic 
surface] 92c:14017 

Taylor, Martin J. see Cassou-Nogues, Philippe, 92e:11125 

Ulmer, Douglas L. p-descent in characteristic p. 92i:11068 


11G_ Arithmetic algebraic geometry (Diophantine geometry) 


11G10 


Vidav, Ivan * Eliptiéne krivulje in eliptitne funkcije. (Slovenian) [Elliptic curves and 
elliptic functions] 92g:14029 

Washington, Lawrence C. A family of cyclic quartic fields arising from modular curves. 
92a:11120 

Zagier, Don The Birch-Swinnerton-Dyer conjecture from a naive point of view. 92¢:11063 

Zelinsky, David S. Some abelian threefolds with nontrivial Griffiths group. 92h:14005 


11G07 Elliptic curves over local fields [see also 14G20, 14H52] 


Coster, Matthijs J. (with Van Hamme, Lucien) Supercongruences of Atkin and 
Swinnerton-Dyer type for Legendre polynomials. 92h:11049 

Kaliski, Burton S., Jr. One-way permutations on elliptic curves. 92j:11054 

Van Hamme, Lucien see Coster, Matthijs J., 92h:11049 


Items with secondary classifications in 11G07 


Ditters, E. J. Hilbert functions and Witt functions. An identity for congruences of Atkin 
and of Swinnerton-Dyer type. 92b:14025 


11G09 Drinfel’d modules; higher-dimensional motives, etc. 
[see also 14L05] 


Dorman, David R. On singular moduli for rank 2 Drinfel’d modules. 92h:11050 

Flach, Matthias A generalisation of the Cassels-Tate pairing. 92b:11037 

Gekeler, Ernst-Ulrich Sur la géométrie de certaines algébres de quaternions. [On the 
geometry of certain quaternion algebras] 92a:11068 

— On finite Drinfel’d modules. 92e:11064 

Suwa, Noriyuki Fermat motives and the Artin-Tate formula. I. 92m:11055a 

— Fermat motives and the Artin-Tate formula. II. 92m:11055b 

Taguchi, Yuichiro Semisimplicity of the Galois representations attached to Drinfel’d 
modules over fields of “finite characteristics”. 92d:11060 

Teitelbaum, Jeremy T. The Poisson kernel for Drinfel’d modular curves. 92c:11060 

Thakur, Dinesh S. Gamma functions for function fields and Drinfel’d modules. 92g:11058 


Items with secondary classifications in 11G09 

Bloch, Spencer (with Kato, Kazuya) L-functions and Tamagawa numbers of motives. 
92g:11063 

— Algebraic cycles and the Lie algebra of mixed Tate motives. 92i:14004 

Chapman, R. J. Carlitz modules and normal integral bases. 92j:11129 

Coates, John (with Perrin-Riou, Bernadette) On p-adic L-functions attached to motives 
over Q. 92j:11060a 

— On p-adic L-functions attached to motives over Q. II. 92j:11060b 

Damamme, G. (with Hellegouarch, Yves) Transcendence of the values of the Carlitz zeta 
function by Wade’s method. 92h:11100 

Deninger, Christopher (with Scholl, Anthony J.) The Beilinson conjectures. 92h:11056 

— On the I’-factors attached to motives. 92i:11065 

— (with Murte, Jacob) Motivic decomposition of abelian schemes and the Fourier 
transform. 92m:14055 

Feng, Ke Qin (with Yin, Lin Sheng) Maximal independent system of units in cyclotomic 
function fields. 92m:11133 

Hellegouarch, Yves see Damamme, G., 92h:11100 

Kato, Kazuya see Bloch, Spencer, 92g:11063 

Kida, Masanari (with Murabayashi, Naoki) Cyclotomic function fields with divisor class 
number one. 92d:11126 

Murabayashi, Naoki see Kida, Masanari, 92d:11126 

Murre, Jacob see Deninger, Christopher, 92m:14055 

Perrin-Riou, Bernadette see Coates, John, 92j:11060a 

Scholl, Anthony J. Remarks on special values of L-functions. 92h:11057 

— see also Deninger, Christopher, 92h:11056 

Serre, Jean-Pierre Motifs. (English summary) [Motives] 92m:14002 

Thakur, Dinesh S. Gauss sums for function fields. 92a:11145 

Wintenberger, Jean-Pierre Torseur entre cohomologie étale p-adique et cohomologie 
cristalline; le cas abélien. [Torsor between p-adic étale cohomology and crystalline 
cohomology; the abelian case] 92j:14024 

Yin, Lin Sheng see Feng, Ke Qin; et al., 92m:11133 

Yu, Jing Transcendence and special zeta values in characteristic p. 92g:11075 


11G10 Abelian varieties of dimension > 1 [see also 14Kxx] 


Chi, Wén Chén On the /-adic representations attached to simple abelian varieties of type IV. 
92g:11059 

David, Sinnou Fonctions théta et points de torsion des variétés abéliennes. [Theta functions 
and torsion points of abelian varieties] 92d:11061 

Hazama, Fumio On the Mordell-Weil group of certain abelian varieties defined over the 
rational function field. 92h:11051 

Jones, John William On the local norm map for abelian varieties with good ordinary 
reduction. 92d:11062 

Ribet, Kenneth A. The old subvariety of Jo(pq). 92a:11069 

Wingberg, Kay Duality theorems for abelian varieties over Zp-extensions. 92h:11052 

Zarkhin, Yu. G. Torsion and endomorphisms of abelian varieties over infinite extensions of 
number fields. (Russian) 92k:11062 


Items with secondary classifications in 11G10 

André, Yves p-adic Betti lattices. 92c:14015 

Chai, Ching-Li see Faltings, Gerd, 92d:14036 

Coleman, Robert F. (with Gross, Benedict H.) p-adic heights on curves. 92d:11057 

Deninger, Christopher (with Murre, Jacob) Motivic decomposition of abelian schemes and 
the Fourier transform. 92m:14055 

Faltings, Gerd (with Chai, Ching-Li) * Degeneration of abelian varieties. 92d:14036 

Flynn, E. V. Large rational torsion on abelian varieties. 92b:11036 





11G10 


van der Geer, Gerard (with van der Vlugt, Marcel) Kloosterman sums and the p-torsion of 
certain Jacobians. 92m:11058 

Gross, Benedict H. see Coleman, Robert F., 92d:11057 

Leprévost, Franck Familles de courbes de genre 2 munies d’une classe de diviseurs 
rationnels d’ordre 15, 17, 19 ou 21. (English summary) [Families of curves of genus 2 
with a rational divisor class of order 15, 17, 19 or 21] 92m:14036 

(Mumford, David) see Faltings, Gerd, 92d:14036 

Murre, Jacob see Deninger, Christopher, 92m:14055 

Philippon, Patrice Sur des hauteurs alternatives. I. [On alternative heights. I] 92m:11061 

Ribet, Kenneth A. Bimodules and abelian surfaces. 92a:11070 

Szpiro, Lucien Sur les solutions d’un syst¢me d’équations polynomiales sur une variété 
abélienne (d’aprés G. Faltings et P. Vojta). [On solutions of a system of polynomial 
equations on an abelian variety (after G. Faltings and P. Vojta)] 92i:14024 

van der Viugt, Marcel see van der Geer, Gerard, 92m:11058 

Vogel, Ferdinand * Zur Uniformisierung abelscher Schemata. (German) [On the uni- 
formization of abelian schemes] 92c:14044 

Wistholz, G. Diophantische Geometrie: Effektivitat und einige Probleme. [Diophantine 
geometry: efficiency and some problems] 92g:11032 

Zarkhin, Yu. G. Abelian varieties and Lie algebras. (Russian) 92d4:14037 


11G15 Complex multiplication and moduli of abelian varieties 
[see also 14K22] 


Chellali, Mustapha Congruences entre nombres de Bernoulli-Hurwitz dans le cas super- 
singulier. [Congruences between Bernoulli-Hurwitz numbers in the supersingular case] 
92:11079 

Colmez, Pierre Une formule du produit pour les périodes des variétés abéliennes a 
multiplication complexe. (English summary) [A product formula for periods of abelian 
varieties with complex multiplication] 92m:11056 

de Jong, Johan (with Noot, Rutger) Jacobians with complex multiplication. 92d:11063 

Kuga, Michio (with Parry, Walter; Sah, Chih-Han) Invariants and Hodge cycles. III. 
92h:11053a 

— (with Parry, Walter; Sah, Chih-Han) Invariants and Hodge cycles. IV. 92h:11053b 

— Invariants and Hodge cycles. II. 92c:11061 

Noot, Rutger see de Jong, Johan, 92d:11063 

Ogus, Arthur A p-adic analogue of the Chowla-Selberg formula. 92i:11060 

Parry, Walter see Kuga, Michio; et al., 92h:11053a and 92h:11053b 

Sah, Chih-Han see Kuga, Michio; et al., 92h:11053a and 92h:11053b 


Items with secondary classifications in 11G15 

Aoki, Noboru Simple factors of the Jacobian of a Fermat curve and the Picard number of a 
product of Fermat curves. 92m:14057 

Cassou-Noguées, Philippe (with Srivastav, Anupam) On Taylor’s conjecture for Kummer 
orders. 92c:11058 

Chai, Ching-Li Moduli of abelian varieties. 92f:14044 

Chi, Wén Chén On the /-adic representations attached to simple abelian varieties of type IV. 
92g:11059 

(Kronecker, Leopold) see Viadut, Sergei G., 92g:11003 

Mori, Andrea An integrality criterion for elliptic modular forms. (Italian summary) 
92c:11049 

Rubin, Karl Tate-Shafarevich groups of elliptic curves with complex multiplication. 
92£:11078 

Srivastav, Anupam see Cassou-Nogues, Philippe, 92c:11058 

Thakur, Dinesh S. Gamma functions for function fields and Drinfel’d modules. 92g:11058 

(Tsfasman, M. A.) see Viadut, Sergei G., 92g:11003 

Viadut, Sergei G. * Kronecker’s Jugendtraum and modular functions. 92g:11003 

Wintenberger, Jean-Pierre Torseur entre cohomologie étale p-adique et cohomologie 
cristalline; le cas abélien. [Torsor between p-adic étale cohomology and crystalline 
cohomology; the abelian case] 92j:14024 


11G16 Elliptic and modular units [see also 11R27] 


Grant, David A generalization of a formula of Eisenstein. 92e:11065 
Rubin, Karl The one-variable main conjecture for elliptic curves with complex multiplica- 
tion. 92j:11055 


Items with secondary classifications in 11G16 

Oukhaba, Hassan (with Robert, Gilles) Etude d’un idéal particulier, d’indice fini dans 
le carré de l’idéal d’augmentation, associé 4 un caractére de Dirichlet d’un groupe 
fini. (English summary) [Study of a certain ideal, of finite index in the square of the 
augmentation ideal, associated with a Dirichlet character of a finite group] 92k:11130 

Perrin-Riou, Bernadette Travaux de Kolyvagin et Rubin. [Work of Kolyvagin and Rubin] 
92£:11085 

Robert, Gilles see Oukhaba, Hassan, 92k:11130 

Rubin, Karl Tate-Shafarevich groups of elliptic curves with complex multiplication. 
92:11078 

— p-adic L-functions and rational points on elliptic curves with complex multiplication. 
92m:11063 

Suzuki, Jiro On Schertz’s class number formula related to elliptic units for some non-Galois 
extensions. 92j:11125 


11G18 Arithmetic aspects of modular and Shimura varieties 
[see also 14G35] 
Edixhoven, Bas Minimal resolution and stable reduction of Xo(N). (French summary) 
92£:11080 


Ekedahl, Torsten (with van Geemen, Bert) An exceptional isomorphism between modular 
varieties. 92f:11081 


van Geemen, Bert see Ekedahl, Torsten, 92f:11081 


NUMBER THEORY 


1992 184 


Kottwitz, Robert E. Shimura varieties and A-adic representations. 92b:11038 

Lee, Min Ho Conjugates of equivariant holomorphic maps of symmetric domains. 
92f:11082 

Pink, Richard * Arithmetical compactification of mixed Shimura varieties. 92h:11054 

Ribet, Kenneth A. Bimodules and abelian surfaces. 92a:11070 

— Lowering the levels of modular representations without multiplicity one. 92d:11064 

Silverman, Joseph H. Hecke points on modular curves. 92e:11066 


Items with secondary classifications in 11G18 

Boston, Nigel (with Lenstra, Hendrik W., Jr.; Ribet, Kenneth A.) Quotients of group rings 
arising from two-dimensional representations. (French summary) 92c:11057 

Cohen, Paula M.S. (with Wolfart, Jiirgen) Modular embeddings for some nonarithmetic 
Fuchsian groups. 92d:11039 

Cohn, Harvey A numerical survey of the reduction of modular curve genus by Fricke’s 
involutions. 92f:11060 

Edixhoven, Bas L’action de l’algebre de Hecke sur les groupes de composantes des 
jacobiennes des courbes modulaires est “Eisenstein”. (English summary) [The action 
of the Hecke algebra on the component groups of Jacobians of modular curves is 
“Eisenstein”] 92k:11059 

Elkik, R. Le théor¢me de Manin-Drinfel'd. [The Manin-Drinfel’d theorem] 92¢:14018 

Goldfeld, Dorian Modular elliptic curves and Diophantine problems. 92e:11061 

Kamienny, S. Torsion points on elliptic curves. 92a:11067 

Lenstra, Hendrik W., Jr. see Boston, Nigel; et al., 92c:11057 

Ribet, Kenneth A. see Boston, Nigel; et al., 92c:11057 

Ulmer, Douglas L. p-descent in characteristic p. 92i:11068 

Wolfart, Jiirgen see Cohen, Paula M. S., 92d:11039 


Items listed otherwise than by author 

Courbes modulaires et courbes de Shimura * Courbes modulaires et courbes de Shimura. 
(French) [Modular curves and Shimura curves] 92g:11004 

Modular curves and Shimura curves * Courbes modulaires et courbes de Shimura. (French) 
[Modular curves and Shimura curves] 92g:11004 

Orsay * Courbes modulaires et courbes de Shimura. (French) [Modular curves and 
Shimura curves] 92g:11004 

Seminar: 
Modular Curves, Shimura Curves and Galois Representations * Courbes modulaires et 

courbes de Shimura. (French) [Modular curves and Shimura curves] 92g:11004 


11G20 Curves over finite and local fields [see also 14H25] 


Coleman, Robert F. On the Frobenius matrices of Fermat curves. 92m:11057 

van der Geer, Gerard (with van der Vlugt, Marcel) Kloosterman sums and the p-torsion of 
certain Jacobians. 92m:11058 

Lachaud, Gilles (with Martin-Deschamps, Mireille) Nombre de points des jacobiennes sur 
un corps fini. [Number of points of the Jacobian over a finite field] 92d:11065 

Martin-Deschamps, Mireille see Lachaud, Gilles, 92d:11065 

Menezes, Alfred (with Vanstone, Scott A.) Isomorphism classes of elliptic curves over finite 
fields of characteristic 2. 92a:11071 

Moreno, Carlos Julio * Algebraic curves over finite fields. 92d:11066 

Munuera Gémez, Carlos On the number of rational points of elliptic curves defined over 
finite fields. (Spanish. English summary) (see 92b:00044) 

Namba, Kanji Legendre polynomial over finite fields and factorization of integers. 
92j:11056 

Perret, Marc Tours ramifiées infinies de corps de classes. (English summary) [Infinitely 
many ramified class-field towers] 92m:11059 

Vanstone, Scott A. see Menezes, Alfred, 92a:11071 

van der Viugt, Marcel see van der Geer, Gerard, 92m:11058 

Xing, Chao Ping Hyperelliptic function fields and codes. 92g:11060 


Items with secondary classifications in 11G20 

Bost, Jean-Benoit (with Mestre, Jean-Francois; Moret-Bailly, Laurent) Sur le calcul 
explicite des “classes de Chern” des surfaces arithmétiques de genre 2. [On the explicit 
calculation of the “Chern classes” of arithmetic surfaces of genus 2] 92g:14018b 

Ekedahl, Torsten The action of monodromy on torsion points of Jacobians. 92g:14017 

van der Geer, Gerard Codes and elliptic curves. 92d:11131 

Mestre, Jean-Francois see Bost, Jean-Benoit; et al., 92g:14018b 

Morain, Francois Elliptic curves, primality proving and some titanic primes. 92m:11147 

Moret-Bailly, Laurent Hauteurs et classes de Chern sur les surfaces arithmétiques. [Heights 
and Chern classes on arithmetic surfaces] 92g:14018a 

— see also Bost, Jean-Benoit; et al., 92g:14018b 

Schoof, René (with van der Vlugt, Marcel) Hecke operators and the weight distributions of 
certain codes. 92g:94017 

Shparlinskii, I. E. Some problems in the theory of finite fields. (Russian) 92c:11141 

van der Vlugt, Marcel see Schoof, René, 92g:94017 


11G25 Varieties over finite and local fields [see also 14G15, 
14G20] 


Adolphson, Alan (with Sperber, Steven) Exponential sums on (F7)". 92k:11063 

Hooley, Christopher On the number of points on a complete intersection over a finite field. 
92i:11061 

(Katz, Nicholas M.) see Hooley, Christopher, 92i:11061 

Koblitz, Neal Jacobi sums, irreducible zeta-polynomials, and cryptography. 92e:11067 

Shparlinskii, I. E. (with Skorobogatov, A. N.) Exponential sums and rational points on 
complete intersections. (French summary) 92i:11062 

Skorobogatov, A. N. see Shparlinskii, I. E., 92i:11062 

Sperber, Steven see Adolphson, Alan, 92k:11063 

Yui, Noriko Special values of zeta-functions of Fermat varieties over finite fields. 92i:11063 





1992 


Items with secondary classifications in 11G25 

Bollaerts, Dirk An estimate of approximation constants for p-adic and real varieties. 
92b:11045 

Ekedahl, Torsten An effective version of Hilbert’s irreducibility th 92f:14018 

Lichtenbaum, S. Behavior of the zeta-function of open surfaces at s = 1. 92i:14019 

Riick, Hans-Georg Abelian surfaces and Jacobian varieties over finite fields. 92e:14016 

Vasquez, A. T. Rational desingularization of a curve defined over a finite field. 92f:14017 





11G30 Curves of arbitrary genus or genus + | over global fields 
[see also 14H25] 


Bombieri, Enrico The Mordell conjecture revisited. 92a:11072 

— Errata-corrige: “The Mordell conjecture revisited” [Ann. Scuola Norm. Sup. Pisa Cl. Sci. 
(4) 17 (1990), no. 4, 615-640; MR 92a:11072]. 92k:11064 

Cassels, J. W.S. Arithmetic of curves of genus 2. 92j:11057 

Chinburg, T. (with Rumely, R.) Well-adjusted models for curves over Dedekind rings. 
92e:11068 

Coleman, Robert F. Manin’s proof of the Mordell conjecture over function fields. 92¢:11069 

M’Zari, Mohammed Algorithme pour calculer les points de Heegner de Yo(N). (English 
summary) [An algorithm for computing the Heegner points of Yo(N)] 92h:11055 

Robert, Alain Michel The Siegel theorem on Diophantine equations. 92k:11065 

Rumely, R. see Chinburg, T., 92e:11068 

Shabat, G. B. (with Voevodskii, V. A.) Drawing curves over number fields. 92f:11083 

Silverman, Joseph H. Rational points on symmetric products of a curve. 92m:11060 

Tautz, Walter (with Top, Jaap; Verberkmoes, Alain) Explicit hyperelliptic curves with real 
multiplication and permutation polynomials. 92j:11058 

Top, Jaap see Tautz, Walter; et al., 92j:11058 

Verberkmoes, Alain see Tautz, Walter; et al., 92j:11058 

Voevodskii, V. A. see Shabat, G. B., 92f:11083 

Vojta, Paul Arithmetic discriminants and quadratic points on curves. 92j:11059 

Voloch, J. F. A Diophantine problem on algebraic curves over function fields of positive 
characteristic. (French summary) 92g:11061 

— On the conjectures of Mordell and Lang in positive characteristics. 92d:11067 


Items with secondary classifications in 11G30 

Abramovich, Dan (with Harris, Joseph Daniel) Abelian varieties and curves in W,(C). 
92¢:14022 

Cohn, Harvey A numerical survey of the reduction of modular curve genus by Fricke’s 
involutions. 92f:11060 

Coleman, Robert F. (with Gross, Benedict H.) p-adic heights on curves. 92d:11057 

— Anderson-Ihara theory: Gauss sums and circular units. 92f:11159 

— On the Frobenius matrices of Fermat curves. 92m:11057 

Davidoff, Giuliana Distribution properties of certain exponential sums. 92d:11088 

Grant, David A generalization of a formula of Eisenstein. 92¢:11065 

Granville, Andrew Some conjectures related to Fermat’s last theorem. 92k:11036 

Gross, Benedict H. see Coleman, Robert F., 92d:11057 

Harris, Joseph Daniel see Abramovich, Dan, 92c:14022 

Manin, Yu. I. Three-dimensional hyperbolic geometry as oo-adic Arakelov geometry. 
92£:14019 

Mueller, Julia H. On binomial equations over function fields and a conjecture of Siegel. 
92b:11016 

Szpiro, Lucien Sur les propriétés numériques du dualisant relatif d’une surface 
arithmétique. [On the numerical properties of the relative dualizing sheaf of an arithmetic 
surface] 92c:14017 


11G35 Varieties over global fields [see also 14G25] 


Philippon, Patrice Sur des hauteurs alternatives. I. [On alternative heights. I] 92m:11061 

Schmidt, Wolfgang M. A remark on the heights of subspaces. 92f:11084 

Silverman, Joseph H. Some arithmetic properties of Weierstrass points: hyperelliptic curves. 
92k:11066 

Skorobogatov, A. N. On the fibration method for proving the Hasse principle and weak 
approximation. 92i:11064 

Thunder, Jeffrey Lin An asymptotic estimate for heights of algebraic subspaces. 92g:11062 


Items with secondary classifications in 11G35 

Borovoi, M. V. On weak approximation in homogeneous spaces of simply connected 
algebraic groups. 92g:11037 

Colliot-Théléne, Jean-Louis Surfaces rationnelles fibrées en coniques de degré 4. [Rational 
surfaces fibered by conics of degree 4] 92j:14027 

Deninger, Christopher On the I’-factors attached to motives. 92i:11065 

Lee, Min Ho Conjugates of equivariant holomorphic maps of symmetric domains. 
92£:11082 

Silverman, Joseph H. Rational points on K3 surfaces: a new canonical height. 92k:14025 

Vojta, Paul Arithmetic discriminants and quadratic points on curves. 92j:11059 

Wong, Pit-Mann Second main theorems in number theory and Nevanlinna theory. 
92i:32029 


11G40 L-functions of varieties over global fields; Birch- 
Swinnerton-Dyer conjecture [see also 14G10] 


Bloch, Spencer (with Kato, Kazuya) L-functions and Tamagawa numbers of motives. 
92g:11063 

Coates, John (with Perrin-Riou, Bernadette) On p-adic L-functions attached to motives 
over Q. 92j:11060a 

— On p-adic L-functions attached to motives over Q. II. 92j:11060b 

Deninger, Christopher (with Scholl, Anthony J.) The Beilinson conjectures. 92h:11056 

— On the I-factors attached to motives. 92i:11065 


11G_ Arithmetic algebraic geometry (Diophantine geometry) 


11G45 


Feng, Ke Qin On the even part of BSD conjecture for elliptic curves with complex 
multiplication by Z[(1 + /—7)/2]. 92j:11061 

— On the BSD conjecture for series of elliptic curves with complex multiplication. 
92i:11066 

Gouvéa, F. (with Mazur, Barry C.) The square-free sieve and the rank of elliptic curves. 
92b:11039 

Kato, Kazuya see Bloch, Spencer, 92g:11063 

Mazur, Barry C. see Gouvéa, F., 92b:11039 

McCallum, William G. Kolyvagin’s work on Shafarevich-Tate groups. 92m:11062 

Mestre, Jean-Francois (with Schappacher, Norbert) Séries de Kronecker et fonctions L des 
puissances symétriques de courbes elliptiques sur Q. [Kronecker series and L-functions of 
symmetric powers of elliptic curves over Q] 92c:11062 

Marty, Maruti Ram On simple zeros of certain L-series. 92j:11062 

— Elliptic curves and modular forms. 92k:11067 

Perrin-Riou, Bernadette Travaux de Kolyvagin et Rubin. [Work of Kolyvagin and Rubin] 
92:11085 

— see also Coates, John, 92j:11060a 

Pinch, R. G. E. (with Swinnerton-Dyer, H. P. F.) Arithmetic of diagonal quartic surfaces. I. 
92d:11068 

Rohrlich, David E. Nonvanishing of L-functions and structure of Mordell-Weil groups. 
92e:11070 

Rosen, Michael I. Some confirming instances of the Birch-Swinnerton-Dyer conjecture over 
biquadratic fields. 92i:11067 

Rovinskii, M. Z. Meromorphic functions connected with polylogarithms. (Russian) 
92h:11058 

Rubin, Karl p-adic L-functions and rational points on elliptic curves with complex 
multiplication. 92m:11063 

Schappacher, Norbert see Mestre, Jean-Francois, 92c:11062 

Schneider, Peter Motivic Ilwasawa theory. 92g:11064 

Scholl, Anthony J. Remarks on special values of L-functions. 92h:11057 

— see also Deninger, Christopher, 92h:11056 

Swinnerton-Dyer, H. P. F. see Pinch, R. G. E., 92d:11068 

Ulmer, Douglas L. p-descent in characteristic p. 92i:11068 

Zagier, Don The Birch-Swinnerton-Dyer conjecture from a naive point of view. 92c:11063 


Items with secondary classifications in 11G40 

Bayer, Pilar (with Frey, Gerhard) Galois representations of octahedral type and 2-coverings 
of elliptic curves. 92d:11058 

Bremner, Andrew On the equation Y? = ¥(X? +p). 92h:11047 

Bremner, Murray R. Modular invariant Virasoro modules and elliptic curves. 92a:11065 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) Nonvanishing theorems for L- 
functions of modular forms and their derivatives. 92a:11058 

Coates, John Elliptic curves with complex multiplication and Iwasawa theory. 92i:11115 

Colmez, Pierre Une formule du produit pour les périodes des variétés abéliennes a 
multiplication complexe. (English summary) [A product formula for periods of abelian 
varieties with complex multiplication] 92m:11056 

Deninger, Christopher Higher order operations in Deligne cohomology. 92b:14009 

Frey, Gerhard see Bayer, Pilar, 92d:11058 

Friedberg, Solomon see Bump, Daniel; et al., 92a:11058 

Greenberg, Ralph Iwasawa theory for p-adic representations. 92c:11116 

Hatcher, Rhonda Lee Heights and L-series. 92b:11031 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92a:11058 

Iwaniec, Henryk On the order of vanishing of modular L-functions at the critical point. 
92h:11040 

Kolyvagin, V. A. Euler systems. 92g:11109 

Kurokawa, Nobushige Analyticity of Dirichlet series over prime powers. 92b:11033 

Langlands, Robert P. Representation theory: its rise and its role in number theory. 
92d:11053 

Mazur, Barry C. (with Tilouine, J.) Représentations galoisiennes, différentielles de Kahler 
et “conjectures principales”. [Galois representations, Kahler differentials and the “main 
conjectures”] 92e:11060 

Murty, Maruti Ram (with Murty, V. Kumar) Mean values of derivatives of modular L- 
series. 92e:11050 

Murty, V. Kumar Nonvanishing of L-functions and their derivatives. 92e:11051 

— see also Murty, Maruti Ram, 92e:11050 

Park, Hwasin Idempotent relations and the conjecture of Birch and Swinnerton-Dyer. 
92m:14032 

Plater, A. An orthogonality relation on the points of an elliptic curve. 92i:11058 

Ross, Raymond K>2 of Fermat curves and values of L-functions. (French summary) 
92¢:19007 

Rubin, Karl The one-variable main conjecture for elliptic curves with complex multiplica- 
tion. 92j:11055 

— The “main conjectures” of Iwasawa theory for imaginary quadratic fields. 92f:11151 

Tilouine, J. see Mazur, Barry C., 92e:11060 

Washington, Lawrence C. Number fields and elliptic curves. 92e:11063 

Wingberg, Kay Duality theorems for abelian varieties over Zp-extensions. 92h:11052 

— On a Galois extension with restricted ramification related to the Selmer group of an 
elliptic curve with complex multiplication. 92d:11059 


11G45 Geometric class field theory [see also 11R37, 14C35, 
19F05] 
Kato, Kazuya The explicit reciprocity law and the cohomology of Fontaine-Messing. (French 
summary) 92k:11068 
Items with secondary classifications in 11G45 


Parimala, R. (with Sujatha, R.) Witt group of hyperelliptic curves. 92d:11038 
Sujatha, R. see Parimala, R., 92d:11038 





11G99 


11G99 None of the above, but in this section 


Items with secondary classifications in 11G99 

Hazama, Fumio On the Mordell-Weil group of certain abelian varieties defined over the 
rational function field. 92h:11051 

Katz, Nicholas M. Perversity and exponential sums. 92m:11080 


11Hxx Geometry of numbers {For applications in coding 
theory, see 94B75.} 


Items with secondary classifications in 11Hxx 

Hattori, Akio The 1990 Japan Mathematical Society Autumn Prize awarded to Tetsuji 
Shioda for his research on Mordell-Weil lattices. (Japanese) 

Hlawka, Edmund (with SchoiBengeier, Johannes; Taschner, Rudolf) * Geometric and 
analytic number theory. 92f:11002 

SchoiBengeier, Johannes see Hlawka, Edmund; et al., 92f:11002 

(Shioda, Tetsuji) see Hattori, Akio 

Taschner, Rudolf see Hlawka, Edmund; et al., 92f:11002 

(Thomas, Charles B.) see Hlawka, Edmund; et al., 92f:11002 


11H06 Lattices and convex bodies [see also 11P21, 52C05, 
52C07] 


Akramov, U. A. An isolation theorem for forms that correspond to purely real algebraic 
fields. (Russian) 92a:11073 

Baltag, I. A. (with Solovei, L. E.) Representation of a four-dimensional Minkowski 
space by indeterminate integral forms. (Russian. English and Moldavian summaries) 
92m:11064 

Chatadus, Stefan (with Teterin, Yu.) Note on a decomposition of integer vectors. II. 
92b:11040 

— (with Schinzel, Andrzej) A decomposition of integer vectors. II. 92g:11065 

Erdahl, Robert M. see Ryshkov, S. S., 92m:11065 

Gillet, Henri (with Soulé, Christophe) On the number of lattice points in convex symmetric 
bodies and their duals. 92k:11069 

Kitazume, Masaaki (with Kondo, Takeshi; Miyamoto, Izumi) Even lattices and doubly 
even codes. 92b:11041 

Kondo, Takeshi see Kitazume, Masaaki; et al., 92b:11041 

Miyamoto, Izumi see Kitazume, Masaaki; et al., 92b:11041 

Ryshkov, S.S. (with Erdahl, Robert M.) Dual systems of integral vectors (general questions 
and applications to the geometry of positive quadratic forms). (Russian) 92m:11065 

Schinzel, Andrzej A decomposition of integer vectors. (see 92b:11001) 

— A decomposition of integer vectors. IV. 92f:11086 

— see also Chatadus, Stefan, 92g:11065 

Seidel, J. J. Integral lattices, in particular those of Witt and of Leech. 92c:11064 

Solovei, L. E. see Baltag, I. A., 92m:11064 

Soulé, Christophe see Gillet, Henri, 92k:11069 

Teterin, Yu. see Chaladus, Stefan, 92b:11040 


Items with secondary classifications in 11H06 

Aulakh, Charanjit S. (with Mahapatra, Swapna) Even integer lattices from simply laced 
GKO cosets. 92h:17026 

Bacher, Roland Affinely regular integral simplices. 92i:52018 

(Bannai, Eiichi) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Borcherds, Richard E.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Conway, John Horton (with Sloane, Neil J. A.) * YnaxosKu mapos, pemieTKH 4 rpynnbi. Tom 
I. (Russian) [Sphere packings, lattices and groups. Vol. I] 92k:11070a 

— (with Sloane, Neil J. A.) * Ynaxosxu wapos, pemeTKu # rpynnbi. Tom II. (Russian) 
[Sphere packings, lattices and groups. Vol. II] 92k:11070b 

— (with Sloane, Neil J. A.) Lattices with few distances. 92i:11070 

Dolan, L. Conformal field theory, triality and the Monster group. (see 92m:81226) 

Dyer, Martin On counting lattice points in polyhedra. 92i:11111 

Erdahl, Robert M. see Ryshkov, S. S., 92i:52020 

Gross, Benedict H. Group representations and lattices. 92a:11077 

Hoffmann, Detlev W. On positive definite Hermitian forms. 92c:11040 

James, Donald G. Orbits in unimodular Hermitian lattices. 92j:11037 

Lagarias, Jeffrey C. (with Ziegler, Ginter M.) Bounds for lattice polytopes containing a 
fixed number of interior points in a sublattice. 92k:52032 

(Leech, John) see Conway, John Horton, 92k:11070a and 92k:11070b 

Lev, V. F. A hyperbolic zeta function of general form. (Russian) 92¢e:11091 

(Litsyn, S. N.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Levasz, Lészi6 Geometry of numbers and integer programming. 92f:90041 

Lupsa, Liana On integer convex sets. 92b:52036 

Mahapatra, Swapna see Aulakh, Charanjit S., 92h:17026 

(Manin, Yu. 1.) see Conway, John Horton, 92k:11070a 

Nergiz, Serdar (with Saclioglu, Cihan) On-shell three-string amplitudes and the structure 
constants of the Monster Lie algebra. 92f:17038 

(Norton, Simon P.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Cdlyzko, Andrew M.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Parker, Richard A.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Peters, Meinhard Indecomposable binary quadratic forms. 92j:11035 

(Queen, L.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Ryshkov, S.S. (with Erdahl, Robert M.) Dual systems of integer-valued vectors and their 
applications. (Russian) 92i:52020 

Saclioglu, Cihan see Nergiz, Serdar, 92f:17038 

Schellekens, A. N. Lattice realizations of space-time and world sheet supersymmetry. 
92i:81252 

— Self-dual lattices in string theory. 92j:81252 


NUMBER THEORY 


1992 186 


Schnell, U. (with Wills, Jérg M.) Two isoperimetric inequalities with lattice constraints. 
92k:52031 

(Shabat, G. B.) see Conway, John Horton, 92k:11070a 

Skriganov, M. M. Geometry of numbers and uniform distributions. (Russian) 92j:11109 

Sloane, Neil J. A. see Conway, John Horton, 92i:11070; 92k:11070a and 92k:11070b 

(Tsfasman, M. A.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Uhrin, B. Projection minima of a symmetric convex body. (Russian summary) 92k:52033 

Vallée, Brigitte An affine point of view on minima finding in integer lattices of lower 
dimensions. 92d:11069 

(Venkov, B. B.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Viadut, Sergei G.) see Conway, John Horton, 92k:11070b 

Wills, Jérg M. Convexity, lattice points, finite packing and covering. 92b:52033 

— see also Schnell, U., 92k:52031 

(Yakovlev, N.N.) see Conway, John Horton, 92k:11070b 

Ziegler, Ginter M. see Lagarias, Jeffrey C., 92k:52032 


11H16 Nonconvex bodies 


Items with secondary classifications in 11H16 
Thunder, Jeffrey Lin An asymptotic estimate for heights of algebraic subspaces. 92g:11062 


11H31 Lattice packing and covering [see also 05B40, 52C15, 
52C17] 


(Bannai, Eiichi) see Conway, John Horton, 92k:11070a and 92k:11070b 

Baranovskii, E. P. Partition of Euclidean spaces into L-polytopes of certain perfect lattices. 
(Russian) 92g:11066 

(Borcherds, Richard E.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Chaladus, Stefan On the densest lattice packing of centrally symmetric octahedra. 
92f:11087 

Conway, John Horton (with Sloane, Neil J. A.) * YnaxosKu wapos, pemeTKH 4 rpynnbi. Tom 
I. (Russian) [Sphere packings, lattices and groups. Vol. I] 92k:11070a 

— (with Sloane, Neil J. A.) * Yoaxosxu mapos, pemeTKH x rpynnbi. Tom II. (Russian) 
[Sphere packings, lattices and groups. Vol. II] 92k:11070b 

Coulson, David The dual lattice of an extreme six-dimensional lattice. 92b:11042 

Elkies, N. D. (with Odlyzko, Andrew M.; Rush, J. A.) On the packing densities of 
superballs and other bodies. 92f:11088 

(Leech, John) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Litsyn, S.N.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Manin, Yu. I.) see Conway, John Horton, 92k:11070a 

(Norton, Simon P.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Odlyzko, Andrew M. see Elkies, N. D.; et al., 92f:11088; Conway, John Horton, 92k:11070a 
and 92k:11070b 

Oesterlé, Joseph Empilements de sphéres. [Sphere packings] 92g:11067 

(Parker, Richard A.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Quebbemann, H.-G. A note on lattices of rational functions. 92i:11069 

(Queen, L.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Rahman, Mushfeque A star whose irregular packing is denser than its lattice packing. 
92a:11074 

Rush, J. A. Constructive packings of cross polytopes. 92k:11071 

— see also Elkies, N. D.; et al., 92f:11088 

(Shabat, G. B.) see Conway, John Horton, 92k:11070a 

Shioda, Tetsuji Mordell-Weil lattices and sphere packings. 92m:11066 

Sloane, Neil J. A. see Conway, John Horton, 92k:11070a and 92k:11070b 

Tsfasman, M. A. Global fields, codes and sphere packings. 92j:11063 

— see also Conway, John Horton, 92k:11070a and 92k:11070b 

(Venkov, B. B.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Vladut, Sergei G.) see Conway, John Horton, 92k:11070b 

(Yakovlev, N. N.) see Conway, John Horton, 92k:11070b 


Items with secondary classifications in 11H31 

Baake, Michael (with Kramer, Peter; Papadopolos, Z.; Zeidler, Dieter) Icosahedral 
dissectable tilings from the root lattice Dg. (see 92g:81003) 

Conway, John Horton (with Sloane, Neil J. A.) The cell structures of certain lattices. 
92i:52019 

Kramer, Peter see Baake, Michael; et al., (92g:81003) 

Papadopolos, Z. see Baake, Michael; et al., (92g:81003) 

Perret, Marc Tours ramifiées infinies de corps de classes. (English summary) [Infinitely 
many ramified class-field towers] 92m:11059 

Schnell, U. (with Wills, Jorg M.) Two isoperimetric inequalities with lattice constraints. 
92k:52031 

Sloane, Neil J. A. see Conway, John Horton, 92i:52019 

Strelkov, N. A. Projection-grid widths and lattice packings. (Russian) 92m:52036 

Wills, Jérg M. Kugellagerungen und Konvexgeometrie. [Sphere packings and convex 
geometry] 92e:52027 

— see also Schnell, U., 92k:52031 

Zeidler, Dieter see Baake, Michael; et al., (92g:81003) 


11H46 Products of linear forms 
Xie, Kong Bin A result on Minkowski’s conjecture. (Chinese. English summary) 92g:11068 


11H50 Minima of forms 


Aggarwal, Satish K. (with Gupta, D. P.) Least positive value of nonhomogeneous indefinite 
quadratic forms of signature —3. 92e:11071 

Asanov, T. U. On transfer theorems in the inhomogeneous Minkowski conjecture. (Russian) 
(see 92m:54001) 





187 1992 


Burnol, Jean-Francois Sur la norme minimale du produit tensoriel de deux réseaux. (English 
summary) [On the minimal norm of the tensor product of two lattices] 92b:11043 

Grover, V. K. (with Raka, M.) On inhomogeneous minima of indefinite binary quadratic 
forms. 92m:11067 

Gupta, D. P. see Aggarwal, Satish K., 92e:11071 

Lagarias, Jeffrey C. (with Lenstra, Hendrik W., Jr.; Schnorr, C.-P.) Korkin-Zolotarev bases 
and successive minima of a lattice and its reciprocal lattice. 92a:11075 

Lenstra, Hendrik W., Jr. see Lagarias, Jeffrey C.; et al., 92a:11075 

Raka, M. see Grover, V. K., 92m:11067 

Schnorr, C.-P. see Lagarias, Jeffrey C.; et al., 92a:11075 


Items with secondary classifications in 11H50 ; 

Margulis, G. A. Indefinite quadratic forms and unipotent flows on homogeneous spaces. 
92g:11034 

Oesterlé, Joseph Empilements de sphéres. [Sphere packings] 92g:11067 

Perrine, Serge Sur une généralisation de la théorie de Markoff. (English summary) [A 
generalization of Markov’s theory] 92c:11067 

Wang, Yuan! On small zeros of quadratic forms over finite fields. 92c:11030 


11H55 Quadratic forms (reduction theory, extreme forms, etc.) 

Arai, Masao’ On the reduction of binary cubic forms with positive discriminants. I. 
92a:11076a 

— On the reduction of binary cubic forms with positive discriminants. II. 92a:11076b 

Conway, John Horton (with Sloane, Neil J. A.) Lattices with few distances. 92i:11070 

Gross, Benedict H. Group representations and lattices. 92a:11077 

Koch, Helmut V. (with Venkov, B. B.) Uber gerade unimodulare Gitter der Dimension 32. 
III. [Even unimodular lattices of dimension 32. III] 92j:11064 

Shushbaev, S. Sh. The Voronoi neighborhood of the perfect form K7(x;,---,X7). (Russian) 
92g:11069 

Sloane, Neil J. A. see Conway, John Horton, 92i:11070 

Vallée, Brigitte An affine point of view on minima finding in integer lattices of lower 
dimensions. 924:11069 

— Acentral problem in the algorithmic geometry of numbers: lattice reduction. 92¢:11065 

Venkov, B. B. see Koch, Helmut V., 92j:11064 


Items with secondary classifications in 11H55 


Baltag, I. A. (with Solovei, L. E.) Representation of a four-dimensional Minkowski 
space by indeterminate integral forms. (Russian. English and Moidavian summaries) 
92m:11064 

Botya, F. V. Interior Bravais manifolds for the F$ edge of the polyhedron P(4). (Russian) 
92e:20038 

Chatadus, Stefan (with Teterin, Yu.) Note on a decomposition of integer vectors. II. 
92b:11040 

Coulson, David The dual lattice of an extreme six-dimensional lattice. 92b:11042 

Lagarias, Jeffrey C. (with Lenstra, Hendrik W.., Jr.; Schnorr, C.-P.) Korkin-Zolotarev bases 
and successive minima of a lattice and its reciprocal lattice. 92a:11075 

Lenstra, Hendrik W., Jr. see Lagarias, Jeffrey C.; et al., 92a:11075 

(Minkowski, Hermann) see Schwermer, Joachim, 92f:01027 

Schnorr, C.-P. see Lagarias, Jeffrey C.; et al., 92a:11075 

Schwermer, Joachim Raumliche Anschauung und Minima positiv definiter quadratischer 
Formen. Zur Habilitation von Hermann Minkowski 1887 in Bonn. [Spatial visualization 
and minima of positive definite quadratic forms. On the habilitation of Hermann 
Minkowski 1887 in Bonn] 92f:01027 

Solovei, L. E. see Baltag, I. A., 92m:11064 

Teterin, Yu. see Chaladus, Stefan, 92b:11040 

Zhu, Fu Za On indecomposable and nondecomposable quadratic forms. 92d:11032 


11H56 Automorphism groups of lattices 


Mimura, Yoshio Explicit examples of unimodular lattices with the trivial automorphism 
group. 92b:11044 


Items with secondary classifications in 11H56 


Kitazume, Masaaki (with Kondo, Takeshi; Miyamoto, Izumi) Even lattices and doubly 
even codes. 92b:11041 

Kondo, Takeshi see Kitazume, Masaaki; et al., 92b:11041 

Miyamoto, Izumi see Kitazume, Masaaki; et al., 92b:11041 


11H99 None of the above, but in this section 
Roy, Damien Sur une version algébrique de la notion de sous-groupe minimal relatif de R”. 


(English summary) [An algebraic version of the notion of relative minimal subgroup in 
R"] 92¢:11066 


11Jxx Diophantine approximation, transcendental 
number theory [see also 11K60] 


Mikolas, Miklés Einige neuere Aspekte und analytische-technisch 
Diophantischer Approximationen. [Some novel aspects and analytical-technical 
applications of Diophantine approximations] 92e:11072 





Anwendungen 


11J04 Homogeneous approximation to one number 


Prasad, Arjun see Prasad, K. C., 92i:11071 and 92j:11065 

Prasad, K.C. (with Prasad, Arjun) A note on asymmetric approximation. 92i:11071 

— (with Prasad, Arjun) Some results on asymmetric approximation of irrational numbers. 
92j:11065 

Tong, Jing Cheng Diophantine approximation by continued fractions. 92h:11059 


11J Diophantine approximation, transcendental number theory 


11J06 Markov and Lagrange spectra and generalizations 


Perrine, Serge Sur une généralisation de la théorie de Markoff. (English summary) [A 
generalization of Markov’s theory] 92c:11067 
Prasad, I. D. N. Note on numbers like 30 f Lagrange spectrum. 


11J13 Simultaneous homogeneous approximation, linear forms 


Chen, Yong Gao On a conjecture in Diophantine approximations. II. 92a:11078 


Shmelev, A. A. Simultaneous approximations of some transcendental numbers. (Russian) 
92a:11079 


Items with secondary classifications in 11J13 

Ivankov, P.L. Arithmetic properties of values of hypergeometric functions. (Russian) 
92e:11080 

Langmann, Klaus Der Hilbertsche Irreduzibilitatssatz und Primzahlfragen. [Hilbert’s 
irreducibility theorem and prime number problems] 92e:12003 

de Mathan, Bernard Simultaneous Diophantine approximation for algebraic functions in 
positive characteristic. 92c:11068 

Moser, Jiirgen On commuting circle mappings and simultaneous Diophantine approxima- 
tions. 92e:58120 

Pollington, A. D. (with Vaughan, R.C.) The k-dimensional Duffin and Schaeffer conjecture. 
92d:11084 

Schmidt, Wolfgang M. The number of solutions of norm form equations. 92a:11035 

Vaughan, R.C. see Pollington, A. D., 92d:11084 

Wang, Lian Xiang Simultaneous Diophantine approximation. 92m:11069 


11J17 Approximation by numbers from a fixed field 


Aparicio Bernardo, Emiliano Generalization of a theorem of Fekete to the case of general- 
ized complex polynomials. (Russian. English and Lithuanian summaries) 92f:11089 

Komatsu, Takao Extension of Baker’s analogue of Littlewood’s Diophantine approximation 
problem. 92m:11068 

Shmelev, A. A. Simultaneous approximations of exponentials by elements of fields whose 
transcendence degree is one. (Russian) 92f:11090 


Items with secondary classifications in 11J17 


Diaz, Guy A complement to: “On the approximation of z by some particular algebraic 
numbers” [Compositio Math. 74 (1990), no. 3, 285-298; MR 91h:1 1060). (French) 
92j:11071 


11J20 Inhomogeneous linear forms 
Wang, Lian Xiang Simultaneous Diophantine approximation. 92m:11069 


Items with secondary classifications in 11J20 


Felner, Erling Generalization of the general Diophantine approximation theorem of 
Kronecker. 92i:11086 


11J25 Diophantine inequalities [see also 11D75] 


Harman, Glyn Diophantine approximation by prime numbers. 92j:11066 

Shan, Zan (with Wang, Edward T.H.) A Diophantine inequality. I]. 92k:11072 
Tijdeman, R. Diophantine equations and Diophantine approximations. 92i:11072 
Wang, Edward T. H. see Shan, Zun; et al., 92k:11072 


Items with secondary classifications in 11J25 

Chen, Yong Gao On a conjecture in Diophantine approximations. II. 92a:11078 

Mazurov, M. E. Solution of Diophantine inequalities in problems on the synchronization of 
relaxation oscillations. (Russian) 92m:11032 

Stewart, C. L. On the number of solutions of polynomial congruences and Thue equations. 
92j:11032 

— (with Yu, Kun Rui) On the abc conjecture. 92k:11037 

Yu, Kun Rui see Stewart, C. L., 92k:11037 


11354 Small fractional parts of polynomials and generalizations 

Baker, R. C. (with Briidern, Jorg; Harman, Glyn) The fractional part of an* for square-free 
n. 92k:11073 

Briidern, Jorg see Baker, R. C.; et al., 92k:11073 

Harman, Glyn see Baker, R. C.; et al., 92k:11073 


Items with secondary classifications in 11J54 
Baker, R.C. (with Harman, Glyn) Fractional and integral parts of p*. 92g:11089 


11J61 Approximation in non-Archimedean valuations 


Bollaerts, Dirk An estimate of approximation constants for p-adic and real varieties. 
92b:11045 

de Mathan, Bernard Simultaneous Diophantine approximation for algebraic functions in 
positive characteristic. 92c:11068 

Miller, Alice Ann A subspace theorem for ordinary linear differential equations. 92c:11069 

van der Poorten, Alfred J. A divergent argument concerning Hadamard roots of rational 
functions. 92¢:11070 


Items with secondary classifications in 11J61 

Borovoi, M. V. Weak approximation in homogeneous spaces of algebraic groups. (Russian) 
92i:11043 

Komatsu, Takao Extension of Baker’s analogue of Littlewood’s Diophantine approximation 
problem. 92m:11068 

Schlickewei, Hans Peter S-unit equations over number fields. 92c:11028 





11361 


Vaananen, K. (with Wallisser, R.) A linear independence measure for certain p-adic 
numbers. 92k:11077 

Wallisser, R. see Vaaninen, K., 92k:11077 

Wang, Lian Xiang Simultaneous Diophantine approximation. 92m:11069 

Zheludevich, F.F. Local estimates in the Lehmer problem. (Russian) 92h:11087 


11J68 Approximation to algebraic numbers 


Beukers, Frits (with van der Poorten, Alfred J.; Yager, Rodney I.) Dyson’s lemma without 
tears. 92f:11091 

Grant, Richard The converse of Liouville’s theorem. 92c:11071 

Matveev, E.M. On the cardinality of algebraic integers. (Russian) 92g:11070 

van der Poorten, Alfred J. see Beukers, Frits; et al., 92:11091 

Struppeck, Thomas (with Vaaler, Jeffrey D.) Inequalities for heights of algebraic subspaces 
and the Thue-Siegel principle. 92f:11092 

Vaaler, Jeffrey D. see Struppeck, Thomas, 92f:11092 

Yager, Rodney I. see Beukers, Frits; et al., 92f:11091 

Yamamoto, Osami The distribution of the zeros generated by length-bounded polynomials. 
92a:11080 


Items with secondary classifications in 11368 


Robert, Alain Michel The Siegel theorem on Diophantine equations. 92k:11065 
Schmidt, Wolfgang M. A remark on the heights of subspaces. 92f:11084 


11370 Continued fractions and generalizations [see also 11A55, 
11K50] 


Allouche, Jean-Paul (with Mendés France, Michel; van der Poorten, Alfred J.) An infinite 
product with bounded partial quotients. 92k:11074 

Bosma, Wieb (with Kraaikamp, Cor) Optimal approximation by continued fractions. 
92f:11093 

Davison, J. Leslie (with Shallit, J.O.) Continued fractions for some alternating series. 
92f:11094 

Hara-Mimachi, Yuko (with Ito, Shunji) A characterization of real quadratic numbers by 
Diophantine algorithms. 92i:11073 

Ito, Shunji (with Yasutomi, Shin-ichi) On continued fractions, substitutions and character- 
istic sequences [nx + y] —[(m — 1)x + y]. 92g:11071 

— (with Kasahara, Kenkiti) On Morimoto algorithm in Diophantine approximation. 
92i:11074 

— see also Hara-Mimachi, Yuko, 92i:11073 

Kasahara, Kenkiti see Ito, Shunji, 92i:11074 

Kraaikamp, Cor see Bosma, Wieb, 92f:11093 

Mendes France, Michel (with van der Poorten, Alfred J.) Some explicit continued fraction 
expansions. 92g:11072 

— see also Allouche, Jean-Paul; et al., 92k:11074 

van der Poorten, Alfred J. see Mendes France, Michel, 92g:11072 and Allouche, Jean-Paul; 
et al., 92k:11074 

Shallit, J.O. see Davison, J. Leslie, 92f:11094 

Tamura, Jun-ichi Symmetric continued fractions related to certain series. 92f:11095 

Yasutomi, Shin-ichi see Ito, Shunji, 92g:11071 


Items with secondary classifications in 11J70 

Brown, Tom C. A characterization of the quadratic irrationals. 92c:11020 

Nolte, V. N. Some probabilistic results on the convergents of continued fractions. 
92b:11053 

Prasad, Arjun see Prasad, K. C., 92j:11065 

Prasad, K.C. (with Prasad, Arjun) Some results on asymmetric approximation of irrational 
numbers. 92j:11065 

Richert, Norman Hypocycloids, continued fractions, and distribution modulo one. 
92a:11086 

Tilborghs, Francis Periodic p-adic continued fractions. 92e:11139 

Tong, Jing Cheng Diophantine approximation by continued fractions. 92h:11059 

Zhu, Yao Chen The algebraic independence of certain transcendental continued fractions. 
92e:11075 


11J71 Distribution modulo one [see also 11K06] 


Baker, R.C. (with Harman, Glyn) On the distribution of ap* modulo one. 92£:11096 
Harman, Glyn see Baker, R. C., 92f:11096 

Jo6, Istvan (with Jo6,M.) Onan arithmetical property of V2. 92j:11067 

Jo6, M. see Joé, Istvan, 92j:11067 

Nakada, Hitoshi Geodesic flows and Diophantine approximations. 92d:11070 


Items with secondary classifications in 11J71 

Allakov, I. A. An estimate for trigonometric sums in powers of prime numbers in an 
arithmetic progression. (Russian) 92e:11084 

Larcher, Gerhard Corrigendum: “On the distribution of s-dimensional Kronecker- 
sequences” [Acta Arith. 51 (1988), no. 4, 335-347; MR 90f:11065]. 92h:11067 


Richert, Norman Hypocycloids, continued fractions, and distribution modulo one. 
92a:11086 


Yasutomi, Shin’ichi On the Markov word property. (Japanese) 92m:68049 


11J72 Irrationality; linear independence over a field 


Borwein, Peter B. On the irrationality of 5°(1/(q" + r)). 92b:11046 

Lord, N. J. (with Sandor, Jozsef) On some irrational series. 92i:11075 

Sandor, Jézsef see Lord, N. J., 92i:11075 

Sanker, David The converse to Alexandre Froda’s irrationality criterion. 92i:11076 


NUMBER THEORY 


Items with secondary classifications in 11J72 

André-Jeannin, Richard A note on the irrationality of certain Lucas infinite series. 
92m:11013 

Becker, Paul-Georg Exponential Diophantine equations and the irrationality of certain real 
numbers. 92h:11025 

Beigel, Richard Irrationality without number theory. 92c:11111 

Haas, M. Uber die lineare Unabhangigkeit von Werten einer speziellen Reihe. [On the 
linear independence of values of a special series] 92a:11082 

Ivankov, P. L. Lower bounds for linear forms in the values of the Kummer function with an 
irrational parameter. (Russian) 92d:11074 

Vaananen, K. (with Wallisser, R.) A linear independence measure for certain p-adic 
numbers. 92k:11077 

Wallisser, R. see Vaananen, K., 92k:11077 


11J81 Transcendence (general theory) 


Bundschuh, Peter The transcendence of certain series by Schmidt’s approximations 
theorem. 92j:11068 

Davison, J. Leslie A class of transcendental numbers with bounded partial quotients. 
92h:11060 

Jiang, Yun Cai see Zhu, Yao Chen; et al., 92j:11069 

Macintyre, Angus Schanuel’s conjecture and free exponential rings. 92d:11071 

Morton, Patrick (with Mourant, W. J.) Digit patterns and transcendental numbers. 
92i:11077 

Mourant, W. J. see Morton, Patrick, 92i:11077 

Nishioka, Kumiko On an estimate for the orders of zeros of Mahler type functions. 
92a:11081 

Peri¢, Veselin Hilbert’s seventh problem and transcendence of the numbers z and e. (Serbo- 
Croatian) 92d:11072 

Popov, A. Yu. Approximations of the values of some infinite products. (Russian) 92f:11097 

Roy, Damien Sous-groupes minimaux des groupes de Lie commutatifs réels, et applications 
arithmétiques. [Minimal subgroups of real commutative Lie groups, and arithmetical 
applications] 92f:11098 

Zhu, Yao Chen (with Jiang, Yun Cai) A remark on the Mahler’s and Gel’fond’s transference 
theorems of linear forms. (Chinese summary) 92j:11069 


Items with secondary classifications in 11J81 

Davison, J. Leslie (with Shallit, J.O.) Continued fractions for some alternating series. 
92:11094 

Hoffmann, Werner Cuspidal functions and Diophantine approximation. 92h:11044 

Shallit, J.O. see Davison, J. Leslie, 92f:11094 

Shmelev, A. A. Simultaneous approximations of some transcendental numbers. (Russian) 
92a:11079 

Waldschmidt, Michel Nouvelles méthodes pour minorer des combinaisons linéaires de 
logarithmes de nombres algébriques. (English summary) [New methods for deriving lower 
bounds for linear forms in logarithms of algebraic numbers] 92e:11077 

— Erratum: “New methods for deriving lower bounds for linear forms in logarithms of 
algebraic numbers” [Sém. Théor. Nombres Bordeaux (2) 3 (1991), no. 1, 129-185; MR 
92e:11077]. (French) 


11J82 Measures of irrationality and of transcendence 


Amoroso, Francesco Polynomials with high multiplicity. 92e:11073 

— Sur le diamétre transfini entier d’un intervalle réel. (English summary) [On the entire 
transfinite diameter of a real interval] 92j:11070 

Amou, Masaaki Approximation to certain transcendental decimal fractions by algebraic 
numbers. 92¢:11072 

— An improvement of a transcendence measure of Galochkin and Mahler’s S-numbers. 
92k:11075 

Becker, Paul-Georg Effective measures for algebraic independence of the values of Mahler 
type functions. 92h:11061 

Diaz, Guy (with Mignotte, Maurice) Passage d’une mesure d’approximation a une mesure 
de transcendance. [Passage from an approximation measure to a transcendence measure] 
92k:11076 

— Acomplement to: “On the approximation of z by some particular algebraic numbers” 
[Compositio Math. 74 (1990), no. 3, 285-298; MR 91h:11060]. (French) 92j:11071 

Gorelov, V. A. Estimates for the measures of algebraic independence of the values of E- 
functions. (Russian) 92j:11072 

Haas, M. Uber die lineare Unabhangigkeit von Werten einer speziellen Reihe. [On the 
linear independence of values of a special series] 92a:11082 

Habsieger, Laurent Linear recurrent sequences and irrationality measures. 92e:11074 

Mignotte, Maurice see Diaz, Guy, 92k:11076 

Vaaninen, K. (with Wallisser, R.) A linear independence measure for certain p-adic 
numbers. 92k:11077 

Wallisser, R. see Vaananen, K., 92k:11077 

Zhukov, A. I. Effective estimates of measures of algebraic independence of the values of E- 
functions connected with algebraic equations over C(z). (Russian) 92j:11073 

— An effective estimate for the order of the zeros of a polynomial of a set of functions 
satisfying a system of linear differential equations. (Russian) 92g:11073 


Items with secondary classifications in 11J82 

Amou, Masaaki Algebraic independence of the values of certain functions at a transcenden- 
tal number. 92i:11079 

Ivankov, P. L. Arithmetic properties of values of hypergeometric functions. (Russian) 
92e:11080 

Laohakosol, Vichian Dependence of arithmetic functions and Dirichlet series. 92i:11080 

Miller, Alice Ann A subspace theorem for ordinary linear differential equations. 92c:11069 

Shestakova, N. V. Estimates for the measure of mutual transcendence for some numbers. 
(Russian) 92d:11073 





189 1992 


Shiokawa, I. (with Tamura, Jun-ichi) Padé approximations to certain power series. 
92a:30005 

Tamura, Jun-ichi see Shiokawa, I., 92a:30005 

Waldschmidt, Michel Nouvelles méthodes pour minorer des combinaisons linéaires de 
logarithmes de nombres algébriques. (English summary) [New methods for deriving lower 
bounds for linear forms in logarithms of algebraic numbers] 92e:11077 

— Erratum: “New methods for deriving lower bounds for linear forms in logarithms of 
algebraic numbers” [Sém. Théor. Nombres Bordeaux (2) 3 (1991), no. 1, 129-185; MR 
92e:11077]. (French) 


11J83 Metric theory 


Bakhtin, V.1. Diophantine approximations on images of mappings. (Russian. English 
summary) 92j:11074 

Bernik, V.1I. (with Kovalevskaya, E. I.) Diophantine approximations on manifolds of 
dimension n in R2". (Russian. English summary) 92h:11062 

Bézivin, Jean-Paul Fonctions entiéres prenant des valeurs entiéres ainsi que ses dérivées sur 
des suites récurrentes binaires. (English summary) [Entire functions and their derivatives 
taking integer values on binary recurrent sequences] 92f:11099 

Dodson, M. M. (with Rynne, B. P.; Vickers, J. A.G.) Diophantine approximation by linear 
forms on manifolds. 92a:11083 

— (with Rynne, B. P.; Vickers, J. A.G.) Khintchine-type theorems on manifolds. 
92m:11070 

— Star bodies and Diophantine approximation. 92h:11063 

Harman, Glyn Some cases of the Duffin and Schaeffer conjecture. 92c:11073 

Kovalevskaya, E. 1. see Bernik, V. I., 92h:11062 

Larcher, Gerhard An inequality with applications in Diophantine approximation. 
92¢:11074 

Rynne, B. P. see Dodson, M. M.; et al., 92a:11083 and 92m:11070 

Vickers, J. A.G. see Dodson, M. M.; et al., 92a:11083 and 92m:11070 


Items with secondary classifications in 11J83 
Nakada, Hitoshi Geodesic flows and Diophantine approximations. 92d:11070 


11J85 Algebraic independence; Gel’fond’s method 


Ably, Mohammed Indépendance algébrique de certains nombres admettant une “bonne” 
approximation diophantienne. (English summary) [Algebraic independence of some 
numbers with “good” Diophantine approximation] 92j:11075 

Alsina, Claudi (with Garcia Roig, J.-L.) On the multiplicative Cauchy equation for 
constructible real numbers. 92i:11078 

Amou, Masaaki Algebraic independence of the values of certain functions at a transcenden- 
tal number. 92i:11079 

Bézivin, Jean-Paul Sur les points ot une fonction analytique prend des valeurs entiéres. 
(English summary) [On the points where an analytic function takes integer values] 
92f:11100 

Garcia Roig, J.-L. see Alsina, Claudi, 92i:11078 

Katsurada, Masaki On the number-theoretic properties of the values of a certain class of 
functions. (Japanese) 92j:11076 

Kulagin, V. A. On the algebraic independence of values of some subclasses of hypergeomet- 
ric E-functions. (Russian) 

Laohakosol, Vichian Dependence of arithmetic functions and Dirichlet series. 92i:11080 

Nishioka, Kumiko Algebraic independence measures of the values of Mahler functions. 
92j:11077 

Oryan, Mehmet Halil Algebraic independence of certain power series. (Turkish summary) 
92h:11064 

Shestakova, N. V. Estimates for the measure of mutual transcendence for some numbers. 
(Russian) 92d4:11073 

Tubbs, Robert Large transcendence degree. 92k:11078 

Zhu, Yao Chen The algebraic independence of certain transcendental continued fractions. 
92e:11075 


Items with secondary classifications in 11J85 


Becker, Paul-Georg Effective measures for algebraic independence of the values of Mahler 
type functions. 92h:11061 


11J86 Linear forms in logarithms; Baker’s method 


Hirata-Kohno, Noriko Minorations effectives de formes linéaires de logarithmes sur les 
groupes algébriques. (English summary) [An effective lower bound for linear forms in 
logarithms on algebraic groups] 92¢:11076 

Waldschmidt, Michel Nouvelles méthodes pour minorer des combinaisons linéaires de 
logarithmes de nombres algébriques. (English summary) [New methods for deriving lower 
bounds for linear forms in logarithms of algebraic numbers] 92¢:11077 

— Erratum: “New methods for deriving lower bounds for linear forms in logarithms of 
algebraic numbers” [Sém. Théor. Nombres Bordeaux (2) 3 (1991), no. 1, 129-185; MR 
92e:11077]. (French) 


Items with secondary classifications in 11J86 


Brindza, B. (with Pintér, A.) On the power values of Stirling numbers. 92k:11022 

— (with Erdés, Paul) On some Diophantine problems involving powers and factorials. 
92i:11036 

— Ona special superelliptic equation. 92j:11029 

Bui Minh Phong On generalized Lehmer sequences. 92m:11021 

Erdés, Paul see Brindza, B., 92i:11036 

Gaal, Istvan On the computer resolution of index form equations. 92g:11126 

— (with Pethé, Attila; Pohst, Michael E.) On the resolution of index form equations in 
biquadratic number fields. I, II. 92g:11031 

Gyéry, K. (with Mignotte, Maurice; Shorey, T. N.) On some arithmetical properties of 
weighted sums of S-units. 92h:11024 


11K Probabilistic theory: distribution modulo 1; metric theory of algorithms 


11Kxx 


Hirata-Kohno, Noriko Formes linéaires d’intégrales elliptiques. [Linear forms of elliptic 
integrals] 92g:11074 

Le, Mao Hua On the generalized Ramanujan-Nagell equation x? — D = p". 92i:11037 

— On the number of solutions to the Diophantine equation x? — D = p". (Chinese) 
92i:11038 

Mignotte, Maurice see Gyéry, K.; et al., 92h:11024 

Morita, Yasuo A lower bound of L,(1, x) for a Dirichlet character x. 92i:11123 

Pethé, Attila Computational methods for the resolution of Diophantine equations. 
92¢:11152 

— see also Gaal, Istvan; et al., 92g:11031 

Pintér, A. see Brindza, B., 92k:11022 

Pohst, Michael E. see Gaal, Istvan; et al., 92g:11031 

Ruzsa, Imre Z. (with Tijdeman, R.) On the difference of integer-valued additive functions. 
92m:11005 

Shorey, T. N. see Gyéry, K.; et al., 92h:11024 

Stewart, C.L. (with Yu, Kun Rui) On the abc conjecture. 92k:11037 

Tijdeman, R. Diophantine equations and Diophantine approximations. 92i:11072 

— see also Ruzsa, Imre Z., 92m:11005 

de Weger, B. M. M. A Diophantine equation of Antoniadis. 92f:11048 

Wiistholz, G. Diophantische Geometrie: Effektivitat und einige Probleme. [Diophantine 
geometry: efficiency and some problems] 92g:11032 

Yu, Kun Rui see Stewart, C. L., 92k:11037 


11J89 Transcendence theory of elliptic and abelian functions 


Hirata-Kohno, Noriko Formes linéaires d’intégrales elliptiques. [Linear forms of elliptic 
integrals] 92g:11074 

Kholyavka, Ya. M. Approximation of the invariants of an elliptic function. (Russian. 
Ukrainian summary) 92e:11078 

— Simultaneous approximation of numbers connected with elliptic functions. (Russian) 
92i:11081 

— On the approximation of numbers connected with Weierstrass elliptic functions. 
(Russian) 92m:11071 

Yu, Jing Transcendence and special zeta values in characteristic p. 92g:11075 


Items with secondary classifications in 11J89 


André, Yves p-adic Betti lattices. 92c:14015 

Tubbs, Robert Large transcendence degree. 92k:11078 

Waldschmidt, Michel Nouvelles méthodes pour minorer des combinaisons linéaires de 
logarithmes de nombres algébriques. (English summary) [New methods for deriving lower 
bounds for linear forms in logarithms of algebraic numbers] 92e:11077 

— Erratum: “New methods for deriving lower bounds for linear forms in logarithms of 
algebraic numbers” [Sém. Théor. Nombres Bordeaux (2) 3 (1991), no. 1, 129-185; MR 
92e:11077]. (French) 

Zhukov, A.I. An effective estimate for the order of the zeros of a polynomial of a set of 
functions satisfying a system of linear differential equations. (Russian) 92g:11073 


11J91 Transcendence theory of other special functions 


Cherepnev, M. A. Algebraic independence of values of hypergeometric E-functions. 
(Russian) 92e:11079 

— On the algebraic independence of values of hypergeometric E-functions that satisfy linear 
inhomogeneous differential equations. (Russian) 92j:11078 

Galochkin, A. I. Estimates for conjugate linear forms. (Russian) 92a:11084 

Ivankov, P. L. Arithmetic properties of values of hypergeometric functions. (Russian) 
92e:11080 

— Lower bounds for linear forms in the values of the Kummer function with an irrational 
parameter. (Russian) 92d:11074 

Nishioka, Fumiko * Mahler kans® to ché Nesterenko riron no dy6. (Japanese) 
[Mahler functions and transcendental numbers—application of the Nesterenko theory] 
92k:11079 





Items with secondary classifications in 11J91 


Bertrand, D. Extensions de D-modules et groupes de Galois différentiels. [D-module 
extensions and differential Galois groups] 92c:12006 

Damamme, G. (with Hellegouarch, Yves) Transcendence of the values of the Carlitz zeta 
function by Wade’s method. 92h:11100 

Gorelov, V. A. Estimates for the meas 
functions. (Russian) 92j:11072 

Hellegouarch, Yves see Damamme, G., 92h:11100 

Joyce, G.S. (with Zucker, I. J.) Special values of the hypergeometric series. 92h:33005a 

— (with Zucker, I. J.) Corrigendum: “Special values of the hypergeometric series”. 
92h:33005b 

Nishioka, Kumiko On an estimate for the orders of zeros of Mahler type functions. 
92a:11081 

Zhukov, A. I. Effective estimates of measures of algebraic independence of the values of E- 
functions connected with algebraic equations over C(z). (Russian) 92j:11073 

Zucker, I. J. see Joyce, G. S., 92h:33005a and 92h:33005b 


of algebraic ind da. 


5 v 


e of the values of E- 





11399 None of the above, but in this section 


Bézivin, Jean-Paul Sur les fonctions entiéres arithmétiques au sens d’Abel. (English 
summary) [On entire arithmetic functions in the sense of Abel] 92m:11072 

Vil'chinskii, V. T. On the metric theory of nonlinear Diophantine approximation. (Russian. 
English summary) 92a:11085 

Wakabayashi, Isao An extension of the Schneider-Lang theorem. (Japanese) 92m:11073 


11Kxx Probabilistic theory: distribution modulo |; metric 
theory of algorithms 





11Kxx 


Items with secondary classifications in 11Kxx 

Hlawka, Edmund (with SchoiBengeier, Johannes; Taschner, Rudolf) * Geometric and 
analytic number theory. 92f:11002 

SchoiBengeier, Johannes see Hlawka, Edmund; et al., 92:11002 

Taschner, Rudolf see Hlawka, Edmund; et al., 92f:11002 

(Thomas, Charles B.) see Hlawka, Edmund; et al., 92f:11002 


11K06 General theory of distribution modulo | [see also 11J71] 


Giuliano Antonini, Rita On the notion of uniform distribution mod 1. 92f:11101 

Goté, Kazuo (with Kano, Takeshi) A necessary condition for monotone (P, j)-u.d. mod 1 
sequences. 92d:11075 

Hlawka, Edmund Corrections and remarks on: “Contributions to the theory of uniform 
distribution and their applications. I, V” [Osterreich. Akad. Wiss. Math.-Natur. KI. 
Sitzungsber. II 197 (1988), no. 1-3, 1-94; ibid. 197 (1988), no. 4-7, 261-289; MR 
91c:11040ae]. (German) 

Kanemitsu, Shigeru see Nagasaka, Kenji; et al., 92b:11048 

Kano, Takeshi see Goté, Kazuo, 92d:11075 

Kopetzky, H. G. (with Schnitzer, F. J.) On the dispersion spectrum. 92j:11079 

Laszl6, Vojtech (with Salat, Tibor) Sums of the form (1/N) pe Jn(nx) and uniform 
distribution mod 1. (Russian and Slovak summaries) 92b:11047 

Myerson, G. (with Pollington, A.D.) Notes on uniform distribution modulo one. 
92c:11075 

Nagasaka, Kenji (with Kanemitsu, Shigeru; Shiue, Jau-Shyong) Benford’s law: the 
logarithmic law of first digit. 92b:11048 

Nair, Radhakrishnan On strong uniform distribution. 92g:11076 

Pollington, A. D. see Myerson, G., 92c:11075 

Porubsky, Stefan (with Salat, Tibor; Strauch, Oto) On a class of uniformly distributed 
sequences. 92d:11076 

Richert, Norman Hypocycloids, continued fractions, and distribution modulo one. 
92a:11086 

Salat, Tibor see Laszl6, Vojtech, 92b:11047 and Porubsky, Stefan; et al., 92d:11076 

Schnitzer, F. J. see Kopetzky, H. G., 92j:11079 

SchoiBengeier, Johannes An asymptotic expansion for )>,,-y{na +B}. 92d:11077 

Shiue, Jau-Shyong see Nagasaka, Kenji; et al.,92b:11048 — 

Strauch, Oto see Porubsky, Stefan; et al., 92d:11076 

Winkler, Reinhard Strong Wey! property in uniform distribution. 92f:11102 


Items with secondary classifications in 11K06 

Babaev, G. (with Ismoilov, D. 1.) Distribution of arguments of Gaussian sums. (Russian. 
Tajiki summary) 92j:11085 

Berend, Daniel [P-sets on the circle. 92c:11076 

— (with Kolesnik, Grigori) Distribution modulo | of some oscillating sequences. 92d:11079 

Deleglise, M. Recouvrement optimal du cercle par les multiples d’un intervalle. [Optimal 
covering of the circle by the multiples of an interval] 92m:11011 

Dovgal’, V. V. On the construction of completely uniformly distributed sequences. (Russian. 
English summary) 92b:11049 

Drmota, Michael (with Tichy, Robert Franz; Winkler, Reinhard) Completely uniformly 
distributed sequences of matrices. 92f:11104 

Grabner, Peter J. (with Tichy, Robert Franz) Remark on an inequality of Erdés-Turan- 
Koksma. 92h:11065 

— (with Tichy, Robert Franz) Contributions to digit expansions with respect to linear 
recurrences. 92f:11111 

Harman, Glyn Fractional and integral parts of p*. 92g:11089 

Ismoilov, D.1. see Babaev, G., 92j:11085 

Kawai, Hitosi A note on the dimensions of curves. 92a:11155 

Kolesnik, Grigori see Berend, Daniel, 92d:11079 

Nair, Radhakrishnan On polynomials in primes and J. Bourgain’s circle method approach 
to ergodic theorems. 92m:11081 

Schatte, Peter On Benford’s law for continued fractions. 92m:11077 

Strauch, Oto On the L? discrepancy of distances of points from a finite sequence. 
92c:11078 

Tichy, Robert Franz see Drmota, Michael; et al., 92f:11104; Grabner, Peter J., 92f:11111 and 
92h:11065 

Tolev, D. I. On the simultaneous distribution of the fractional parts of different powers of 
prime numbers. 924:11085 

Winkler, Reinhard see Drmota, Michael; et al., 92f:11104 


11K16 Normal numbers, radix expansions, etc. [see also 11A63] 


Dovgal’, V. V. On the construction of completely uniformly distributed sequences. (Russian. 
English summary) 92b:11049 

Dumont, J.-M. (with Thomas, Alain) Digital sum problems and substitutions on a finite 
alphabet. 92m:11074 

Grabner, Peter J. On digit expansions with respect to second order linear recurring 
sequences. 92d:11078 

Kirschenhofer, Peter (with Prodinger, Helmut) On the analysis of probabilistic counting. 
92a:11087 

— On the variance of the sum of digits function. 92f:11103 

Knopfmacher, John Normality of product expansions of power series over finite fields. 
92m:11075 

Levin, M. B. Simultaneously absolutely normal numbers. (Russian) 92g:11077 

Manduit, Christian (with Mossé, Brigitte) Suites de G,-orbite finie. [Sequences with finite 
G,-orbit] 92a:11088 

Mossé, Brigitte see Mauduit, Christian, 92a:11088 

Prodinger, Helmut see Kirschenhofer, Peter, 92a:11087 

Pushkin, L. N. Vectors that are Borel normal on a manifold in R". (Russian) 92g:11078 

Thomas, Alain see Dumont, J.-M., 92m:11074 


NUMBER THEORY 


Items with secondary classifications in 11K16 

Grabner, Peter J. Ziffernentwicklungen beziiglich linearer Rekursionen. [Digital expansions 
with respect to linear recursions] 92h:11066 

— (with Tichy, Robert Franz) a-expansions, linear recurrences, and the sum-of-digits 
function. 92a:11089 

McCauley, J. L., Jr. Deterministic statistical independence, nonperiodic symbol sequences 
and Gibbs distributions. 92b:11050 

Tichy, Robert Franz see Grabner, Peter J., 92a:11089 


11K31 Special sequences 


Allouche, Jean-Paul (with Liardet, Pierre) Generalized Rudin-Shapiro sequences. 
92k:11080 

Berend, Daniel IP-sets on the circle. 92c:11076 

— (with Kolesnik, Grigori) Distribution modulo 1 of some oscillating sequences. 92d:11079 

Bertin, M.-J. Généralisation des suites de Pisot et de Boyd. [Generalization of Pisot and 
Boyd sequences] 92i:11082 

Bick, T. A. (with Coffey, John) A class of examples of D-sequences. 92d:11080 

Borel, Jean-Pierre Sur certains sous-groupes de R liés a la suite des factorielles. [On some 
subgroups in R associated with the sequence of factorials] 92g:11079 

Coffey, John see Bick, T. A., 92d:11080 

Drmota, Michael (with Tichy, Robert Franz; Winkler, Reinhard) Completely uniformly 
distributed sequences of matrices. 92f:11104 

Grabner, Peter J. (with Tichy, Robert Franz) a-expansions, linear recurrences, and the 
sum-of-digits function. 92a:11089 

Kolesnik, Grigori see Berend, Daniel, 92d:11079 

Laszl6, Vojtech (with Salat, Tibor) Uniformly distributed sequences of positive integers in 
Baire’s space. 92j:11080 

Liardet, Pierre see Allouche, Jean-Paul, 92k:11080 

McCauley, J. L., Jr. Deterministic statistical independence, nonperiodic symbol sequences 
and Gibbs distributions. 92b:11050 

Osbaldestin, A. H. (with Shiu, P.) Tijdeman’s iterative algorithm. 92i:11083 

Salat, Tibor see Laszlé, Vojtech, 92j:11080 

Shiu, P. see Osbaldestin, A. H., 92i:11083 

Tichy, Robert Franz see Grabner, Peter J., 92a:11089 and Drmota, Michael; et al., 92f:11104 

Wagner, Gerold On the maximal modulus of polynomials on Cantor sets. 92j:11081 

Winkler, Reinhard see Drmota, Michael; et al., 92f:11104 


Items with secondary classifications in 11K31 

Blimlinger, Martin (with Obata, Nobuaki) Permutations preserving Cesaro mean, densities 
of natural numbers and uniform distribution of sequences. (French summary) 92j:43002 

Kola¥, Miroslav (with Nori, Franco) Trace maps of general substitutional sequences. 
92b:58064 

Lagarias, Jeffrey C. (with Weiss, Alan) The 3x + 1 problem: two stochastic models. 
92k:60159 

Nori, Franco see Kolat, Miroslav, 92b:58064 

Obata, Nobuaki see Bliimlinger, Martin, 92j:43002 

Weiss, Alan see Lagarias, Jeffrey C., 92k:60159 


11K36 Well-distributed sequences and other variations 


Items with secondary classifications in 11K36 


Drmota, Michael On iterated weighted means of bounded sequences and uniform 
distribution. 92h:40007 


11K38 Irregularities of distribution, discrepancy [see also 11Nxx] 


Alexander, John Ralph Geometric methods in the study of irregularities of distribution. 
92f:11105 

— Principles of a new method in the study of irregularities of distribution. 92f:11106 

Blimlinger, Martin Slice discrepancy and irregularities of distribution on spheres. 
92g:11080 

Chaix, Henri (with Faure, Henri) Discrépance et diaphonie des suites de van der Corput 
généralisées. III. (English summary) [Discrepancy and diaphony of the generalized van 
der Corput sequences. III] 92f:11107 

Faure, Henri see Chaix, Henri, 92f:11107 

Grabner, Peter J. (with Tichy, Robert Franz) Remark on an inequality of Erdés-Turan- 
Koksma. 92h:11065 

— Ziffernentwicklungen beziiglich linearer Rekursionen. [Digital expansions with respect to 
linear recursions] 92h:11066 

— Erdés-Turan type discrepancy bounds. 92f:11108 

Larcher, Gerhard Corrigendum: “On the distribution of s-dimensional Kronecker- 
sequences” [Acta Arith. 51 (1988), no. 4, 335-347; MR 90f:11065]. 92h:11067 

Nagasaka, Kenji (with Shiue, Jau-Shyong) On a theorem of Koksma on discrepancy. 
92¢:11077 

Shiue, Jau-Shyong see Nagasaka, Kenji, 92c:11077 

Strauch, Oto On the L? discrepancy of distances of points from a finite sequence. 
92c:11078 

Temirgaliev, N. An upper bound on discrepancy in an “algebraic” grid. (Russian) 
92g:11081 

Tichy, Robert Franz Contributions to uniformly distributed functions. I. Discrepancy of 
fractal sets. 92i:11084 

— see also Grabner, Peter J., 92h:11065 


Items with secondary classifications in 11K38 


Allakov, I. A. The distribution of the fractional part of the sequence ap? with prime 
numbers in an arithmetic progression. (Russian. Uzbek summary) 92¢:11094 

Berend, Daniel (with Kolesnik, Grigori) Distribution modulo | of some oscillating 
sequences. 92d:11079 





191 1992 


Grabner, Peter J. (with Tichy, Robert Franz) a-expansions, linear recurrences, and the 
sum-of-digits function. 92a:11089 

Grandits, Peter C-Diskrepanz von Flachen im Raum. [C-discrepancy of surfaces in space] 
92b:11051 

Kolesnik, Grigori see Berend, Daniel, 92d:11079 

Niederreiter, Harald The distribution of values of Kloosterman sums. 92b:11057 

Tichy, Robert Franz A general inequality with applications to the discrepancy of sequences. 
92j:11082 

— see also Grabner, Peter J., 92a:11089 


11K41 Continuous, p-adic and abstract analogues 


Asmar, Nakhlé H. (with Nair, Radhakrishnan) Certain averages on the a-adic numbers. 
92¢:11079 

Cugiani, Marco (with Rotondi, Renata) Generation of uniformly distributed vectors in a p- 
adic domain. (Italian. English summary) 92c:11080 

Drmota, Michael Contributions to uniformly distributed functions. II. Completely 
uniformly distributed functions. 92i:11085 

Grandits, Peter C-Diskrepanz von Flachen im Raum. [C-discrepancy of surfaces in space] 
92b:11051 

Nagasaka, Kenji (with Shiue, Jau-Shyong) Asymptotic distribution and independence of 
sequences of g-adic integers. II. 92d:11081 

Nair, Radhakrishnan see Asmar, Nakhlé H., 92c:11079 

Rotondi, Renata see Cugiani, Marco, 92c:11080 

Shiue, Jau-Shyong see Nagasaka, Kenji, 92d:11081 

Tichy, Robert Franz A general inequality with applications to the discrepancy of sequences. 
92j:11082 


Items with secondary classifications in 11K41 

Drmota, Michael (with Tichy, Robert Franz; Winkler, Reinhard) Completely uniformly 
distributed sequences of matrices. 92f:11104 

Tichy, Robert Franz see Drmota, Michael; et al., 92f:11104 

Winkler, Reinhard see Drmota, Michael; et al., 92f:11104 


11K45 Pseudo-random numbers; Monte Carlo methods 


Eich Hi Jiirgen On the discrepancy of inversive congruential pseudorandom 
numbers with prime power modulus. 92c:11081 

Lagarias, Jeffrey C. Pseudorandom number generators in cryptography and number theory. 
92£:11109 

Mehta, Madan Lal Some remarks on random number generators. 92b:11052 

Niederreiter, Harald Pseudorandom numbers generated from shift register sequences. 
92g:11082 

Tichy, Robert Franz Zur Analyse und Anwendung von Zufallszahlen. [On the analysis and 
application of random numbers] 92m:11076 





Items with secondary classifications in 11K45 

Bach, Eric Realistic analysis of some randomized algorithms. 92b:11090 

Eich H , Jiirgen (with Niederreiter, Harald) Lower bounds for the discrep- 
ancy of inversive congruential pseudorandom numbers with power of two modulus. 
92i:65018 

Niederreiter, Harald The existence of efficient lattice rules for multidimensional numerical 
integration. 92¢:65023 

— see also Eichenauer-Herrmann, Jiirgen, 92i:65018 





11K50 Metric theory of continued fractions [see also 11A55, 
11J70] 


Cusick, T. W. A Cantor set analog of the Gauss-Kuzmin theorem. 92f:11110 

Knopfmacher, Arnold (with Lubinsky, D.S.) Nonnormality of continued fraction partial 
quotients modulo g. 92d:11082 

Kraaikamp, Cor A new class of continued fraction expansions. 92a:11090 

Labinsky, D. S. see Knopfmacher, Arnold, 92d:11082 

Nakada, Hitoshi The metrical theory of complex continued fractions. 92e:11081 

Nolte, V.N. Some probabilistic results on the convergents of continued fractions. 
92b:11053 

Schatte, Peter On Benford’s law for continued fractions. 92m:11077 

Schweiger, Fritz Invariant measures for maps of continued fraction type. 92k:11081 


Items with secondary classifications in 11K50 

Bosma, Wieb (with Kraaikamp, Cor) Optimal approximation by continued fractions. 
92:11093 

Hensley, Douglas The largest digit in the continued fraction expansion of a rational number. 
92i:11009 

Ito, Shunji Weyl automorphisms, substitutions and fractals. 92e:11153 

Kopetzky, H. G. (with Schnitzer, F. J.) On the dispersion spectrum. 92j:11079 

Kraaikamp, Cor see Bosma, Wieb, 92f:11093 

Nair, Radhakrishnan On strong uniform distribution. 92g:11076 

Schnitzer, F. J. see Kopetzky, H. G., 92j:11079 

Schweiger, Fritz Invariant measures and ergodic properties of number theoretical endomor- 
phisms. 92d:11083 


11K55 Metric theory of other algorithms and expansions; 
measure and Hausdorff dimension [see also 11N99, 
28Dxx] 


Grabner, Peter J. (with Tichy, Robert Franz) Contributions to digit expansions with respect 
to linear recurrences. 92f:11111 


11K Probabilistic theory: distribution modulo 1; metric theory of algorithms 


11K65 


Ito, Shunji (with Ohtsuki, Makoto) On the fractal curves induced from endomorphisms on 
a free group of rank 2. 92m:11078 

Kalpazidou, Sofia (with Knopfmacher, Arnold; Knopfmacher, John) Metric properties of 
alternating Liiroth series. 92h:11068 

Knopfmacher, Arnold see Kalpazidou, Sofia; et al., 92h:11068 

Knopfmacher, John see Kalpazidou, Sofia; et al., 92h:11068 

Ohtsuki, Makoto see Ito, Shunji, 92m:11078 

Schweiger, Fritz Invariant measures and ergodic properties of number theoretical endomor- 
phisms. 92d:11083 

— On the invariant measure for Jacobi-Perron algorithm. 92f:11112 

Severo, Norman C. see Slivka, John, 92b:11054 

Slivka, John (with Severo, Norman C.) Measures of sets partitioning Borel’s simply normal 
numbers to base 2 in [0, 1]. 92b:11054 

Thouvenot, Jean-Paul La convergence presque siire des moyennes ergodiques suivant 
certaines sous-suites d’entiers (d’aprés Jean Bourgain). [Almost sure convergence of 
ergodic means along some subsequences of integers (after Jean Bourgain)] 92c:11082 

Tichy, Robert Franz see Grabner, Peter J., 92f:11111 


Items with secondary classifications in 11K55 

Alexander, James C. (with Zagier, Don) The entropy of a certain infinitely convolved 
Bernoulli measure. 92g:28035 

Allouche, Jean-Paul (with Liardet, Pierre) Generalized Rudin-Shapiro sequences. 
92k:11080 

Alon, Noga (with Kleitman, Daniel J.) Sum-free subsets. 92f:11020 

Asmar, Nakhié H. (with Nair, Radhakrishnan) Certain averages on the a-adic numbers. 
92c:11079 

Bick, T. A. (with Coffey, John) A class of examples of D-sequences. 92d:11080 

Buttsworth, R. N. (with Matthews, K. R.) On some Markov matrices arising from the 
generalized Collatz mapping. 92a:11016 

Coffey, John see Bick, T. A., 92d:11080 

Cusick, T. W. A Cantor set analog of the Gauss-Kuzmin theorem. 92f:11110 

Falconer, Kenneth J. * Fractal geometry. 92j:28008 

Grabner, Peter J. On digit expansions with respect to second order linear recurring 
sequences. 92d:11078 

— Ziffernentwicklungen beziiglich linearer Rekursionen. [Digital expansions with respect to 
linear recursions] 92h:11066 

Kleitman, Daniel J. see Alon, Noga, 92f:11020 

Lagarias, Jeffrey C. (with Weiss, Alan) The 3x + 1 problem: two stochastic models. 
92k:60159 

Liardet, Pierre see Allouche, Jean-Paul, 92k:11080 

Matthews, K. R. see Buttsworth, R. N., 92a:11016 

Mend?s France, Michel Dimension et entropie des courbes. [Dimension and entropy of 
curves] 92¢:11154 

Nair, Radhakrishnan see Asmar, Nakhlé H., 92c:11079 

Porubsky, Stefan (with Salat, Tibor; Strauch, Oto) On a class of uniformly distributed 
sequences. 92d:11076 

Salat, Tibor see Porubsky, Stefan; et al., 92d:11076 

Strauch, Oto see Porubsky, Stefan; et al., 92d:11076 

Weiss, Alan see Lagarias, Jeffrey C., 92k:60159 

Zagier, Don see Alexander, James C., 92g:28035 


11K60 Diophantine approximation [see also 11Jxx] 


Felner, Erling Generalization of the general Diophantine approximation theorem of 
Kronecker. 92i:11086 

Pollington, A. D. (with Vaughan, R. C.) The k-dimensional Duffin and Schaeffer conjecture. 
92d:11084 

Vaughan, R.C. see Pollington, A. D., 92d:11084 


Items with secondary classifications in 11K60 

Amou, Masaaki An improvement of a transcendence measure of Galochkin and Mahler’s 
S-numbers. 92k:11075 

Kraaikamp, Cor A new class of continued fraction expansions. 92a:11090 

Larcher, Gerhard An inequality with applications in Diophantine approximation. 
92¢:11074 


11K65 Arithmetic functions [see also 11Nxx] 


Delange, Hubert On the use of the method of moments for the study of additive functions. 
92i:11087 

Erdés, Paul (with Pomerance, Carl) On a theorem of Besicovitch: values of arithmetic 
functions that divide their arguments. 92a:11091 

Gat, G. On almost even arithmetical functions via orthonormal systems on Vilenkin groups. 
92j:11083 

Lee, Jungseob The second central moment of additive functions. 92g:11083 

Manstavitius, Eugenijus Laws of the iterated logarithm for additive functions. 92e:11082 

Mauclaire, Jean-Loup Distribution des valeurs d’une fonction arithmétique additive a 
valeurs dans un groupe abélien localement compact métrisable. (English summary) 
[Distribution of the values of an additive arithmetical function with values in a locally 
compact metrizable abelian group] 92j:11084 

Pomerance, Carl see Erdés, Paul, 92a:11091 

Tolev, D. I. On the simultaneous distribution of the fractional parts of different powers of 
prime numbers. 92d:11085 

Uliya’Iniya, Mazyar A probabilistic model for the differences between consecutive members 
of series of natural numbers. (Persian) (see 92m:00055) 


Items with secondary classifications in 11K65 


Daboussi, Hédi (with Indlekofer, Karl-Heinz) Two elementary proofs of Halasz’s theorem. 
92k:11097 





11K65 


De Koninck, Jean-Marie (with Ivi¢, Aleksandar) Random sums related to prime divisors of 
an integer. 92f:11125 

Guiasgu, Silvia On the distribution of the number of distinct prime factors. 92j:11106 

Indlekofer, Karl-Heinz Limiting distributions of additive functions in short intervals. 
92d:11106 

— (with Knopfmacher, John; Warlimont, Richard) Arithmetical semigroups. I. Direct 
factors. 92c:11097 

— see also Daboussi, Hédi, 92k:11097 

Ivié, Aleksandar see De Koninck, Jean-Marie, 92f:11125 

Knopfmacher, John see Indlekofer, Karl-Heinz; et al., 92c:11097 

Sandor, Jézsef On a method of Galambos and KAtai concerning the frequency of deficient 
numbers. 92j:11111 

Timofeev, N. M. The Erdés-Kubilius conjecture on the distribution of the values of additive 
functions on sequences of shifted primes. (Russian) 92i:11105 

Warlimont, Richard see Indlekofer, Karl-Heinz, et al., 92c:11097 

Zhang, Wen Bin Uniform distribution of values of multiplicative functions. 92k:11102 


11K70 Harmonic analysis and almost periodicity 


Items with secondary classifications in 11K70 

Bogolyubov, N. N. * On an arithmetical theorem and its application on the theory of almost 
periodic functions. 92m:42011 

Gat, G. On almost even arithmetical functions via orthonormal systems on Vilenkin groups. 
92j:11083 

Maxsein, Thomas see Schwarz, Wolfgang Karl; et al., 92j:11002 

Queffélec, Martine Ubiquité et paradoxes des suites automatiques. [Ubiquity and paradoxes 
of automatic sequences] 92f:11038 

Schwarz, Wolfgang Karl (with Maxsein, Thomas; Smith, Paul R.) An example for 
Gel'fand’s theory of commutative Banach algebras. 92j:11002 

Smith, Paul R. see Schwarz, Wolfgang Karl; et al., 92j:11002 


11K99 None of the above, but in this section 


Tichy, Robert Franz Some inequalities for hypercomplex numbers. 92i:11088 
Ungar, Peter Mixing property of the pedal mapping. 92b:11055 


Items with secondary classifications in 11K99 

Charalambides, Ch. A. Lucas numbers and polynomials of order k and the length of the 
longest circular success run. 92i:11020 

Keating, Jonathan Peter Asymptotic properties of the periodic orbits of the cat maps. 
92m:58108 

Kenyon, Richard (with Peres, Yuval) Intersecting random translates of invariant Cantor 
sets. 92g:28018 

Matsumoto, Kohji Value-distribution of zeta-functions. 92b:11063 

Paul, E. M. A probabilistic approach to additive number theory. 92m:11111 

Peres, Yuval see Kenyon, Richard, 92g:28018 


11Lxx Exponential sums and character sums {For finite 
fields, see 11Txx.} 


11L03 Trigonometric and exponential sums, general 


Adolphson, Alan (with Sperber, Steven) Exponential sums on (G,,)". 92c:11083 

(Buck, Nicholas) see Williams, Kenneth S.; et al., 92b:11056 

Goddard, Bart Finite exponential series and Newman polynomials. 92m:11079 

Hardy, Kenneth see Williams, Kenneth S.; et al., 92b:11056 

Katz, Nicholas M. Perversity and exponential sums. 92m:11080 

(deMille, Iain) see Williams, Kenneth S.; et al., 92b:11056 

Spearman, Blair K. see Williams, Kenneth S.; et al., 92b:11056 

Sperber, Steven see Adolphson, Alan, 92c:11083 

Williams, Kenneth S. (with Hardy, Kenneth; Spearman, Blair K.) Explicit evaluation of 
certain Eisenstein sums. 92b:11056 


Items with secondary classifications in 11L03 

Jutila, Matti Exponential sums connected with quadratic forms. 92d:11093 

Kriatzel, Ekkehard (with Nowak, Werner Georg) Lattice points in large convex bodies. 
92i:11112 

Nowak, Werner Georg see Kriatzel, Ekkehard, 92i:11112 

Shparlinskii, I. E. (with Skorobogatov, A. N.) Exponential sums and rational points on 
complete intersections. (French summary) 92i:11062 

Skorobogatov, A. N. see Shparlinskii, I. E., 92i:11062 

Vaughan, R.C. (with Wooley, Trevor D.) On a problem related to one of Littlewood and 
Offord. 92m:11114 

Wooley, Trevor D. see Vaughan, R. C., 92m:11114 


11L05 Gauss and Kloosterman sums; generalizations 


Babaev, G. (with Ismoilov, D. 1.) Distribution of arguments of Gaussian sums. (Russian. 
Tajikisummary) 92j:11085 

Duke, W. On multiple Salié sums. 92f:11113 

Evans, Ronald J. A character sum for root system G2. 92f:11114 

Ismoilov, D.1. see Babaev, G., 92j:11085 

Kihnlein, Stefan On some Kloosterman sums. 92c:11084 

Lehmer, D. H. A matrix paraphrase of Kloosterman sums. 92f:11115 

Niederreiter, Harald The distribution of values of Kloosterman sums. 92b:11057 

Oskolkov, K. I. On functional properties of incomplete Gaussian sums. 92e:11083 


NUMBER THEORY 


Items with secondary classifications in 11L05 

Balog, Antal (with Pomerance, Carl) The distribution of smooth numbers in arithmetic 
progressions. 92h:11075 

Bushnell, Colin J. Gauss sums and local constants for GL(N). 92c:11138 

Bykovskii, V. A. (with Kuznetsov, N. V.; Vinogradov, A. I.) Generalized summation 
formula for inhomogeneous convolution. 92b:11064 

Coleman, Robert F. Anderson-Ihara theory: Gauss sums and circular units. 92f:11159 

van der Geer, Gerard (with van der Vlugt, Marcel) Kloosterman sums and the p-torsion of 
certain Jacobians. 92m:11058 

Hoffstein, Jeffrey Theta functions on the n-fold metaplectic cover of SL(2)—the function 
field case. 92k:11049 

Kuo, Chia Nan Fourier coefficients of nonholomorphic modular forms and sums of 
Kloosterman sums. 92a:11053 

Kuznetsov, N. V. see Bykovskii, V. A.; et al., 92b:11064 

Lachaud, Gilles (with Wolfmann, Jacques) The weights of the orthogonals of the extended 
quadratic binary Goppa codes. 92b:94040 

Lazarus, Andrew J. Gaussian periods and units in certain cyclic fields. 92j:11118 

Lehmer, D. H. Matrix paraphrases. 92g:15041 

Pomerance, Carl see Balog, Antal, 92h:11075 

Prapavessi, Despina T. On Jacobi sum Hecke characters ramified only at 2. 92k:11122 

Rubin, Karl Kolyvagin’s system of Gauss sums. 92a:11121 

Saito, Hiroshi’ A generalization of Gauss sums and its applications to Siegel modular forms 
and L-functions associated with the vector space of quadratic forms. 92e:11040 

Sarnak, Peter * Some applications of modular forms. 92k:11045 

Shparlinskii, I. E. Estimates for Gauss sums. (Russian) 92m:11082 

Thakur, Dinesh S. Gross-Koblitz formula for function fields. 92b:11083 

— Gauss sums for function fields. 92a:11145 

Vinogradov, A.I. see Bykovskii, V. A.; et al., 92b:11064 

van der Viugt, Marcel see van der Geer, Gerard, 92m:11058 

Walum, Herbert Multiplication formulae for periodic functions. 92c:11019 

Wolfmann, Jacques see Lachaud, Gilles, 92b:94040 


11L07 Estimates on exponential sums 


Adolphson, Alan (with Sperber, Steven) p-adic estimates for exponential sums. 92d:11086 

Baker, R.C. (with Harman, Glyn) Exponential sums formed with the Mébius function. 
92d:11087 

Daboussi, Hédi On some exponential sums. 92a:11092 

Davidoff, Giuliana Distribution properties of certain exponential sums. 92d:11088 

Graham, S. W. (with Kolesnik, Grigori) * van der Corput’s method of exponential sums. 
92k:11082 

Harman, Glyn see Baker, R. C., 92d:11087 

Huxley, M. N. Exponential sums and rounding error. 92k:11083 

Kolesnik, Grigori see Graham, S. W., 92k:11082 

Nair, Radhakrishnan On polynomials in primes and J. Bourgain’s circle method approach 
to ergodic theorems. 92m:11081 

Peral Alonso, Juan Carlos On a sum of Vinogradov. 92b:11058 

Shparlinskii, I. E. Estimates for Gauss sums. (Russian) 92m:11082 

Sperber, Steven see Adolphson, Alan, 92d:11086 


Items with secondary classifications in 11L07 

Adolphson, Alan (with Sperber, Steven) Exponential sums on (F3)". 92k:11063 

— (with Sperber, Steven) On twisted exponential sums. 92g:11086 

Briidern, Jérg Ternary additive problems of Waring’s type. 92g:11096 

Car, Mireille Le probléme de Waring pour les corps de fonctions. [Waring’s problem for 
function fields] 92m:11110 

Eichenauer-Herrmann, Jiirgen On the discrepancy of inversive congruential pseudorandom 
numbers with prime power modulus. 92¢:11081 

Harman, Glyn On sparsely totient numbers. 92h:11077 

— Diophantine approximation by prime numbers. 92j:11066 

Liu, Hong Quan On the number of abelian groups of a given order. 92i:11103 

— (with Rivat, J.) On the Pjateckii-Sapiro prime number theorem. 92m:11092 

Miller, Wolfgang” (with Nowak, Werner Georg) Lattice points in planar domains: 
applications of Huxley’s “discrete Hardy-Littlewood method”. 92d:11113 

Nowak, Werner Georg see Miiller, Wolfgang”, 92d:11113 

Oskolkov, K. I. On functional properties of incomplete Gaussian sums. 92¢:11083 

Rivat, J. see Liu, Hong Quan, 92m:11092 

Sperber, Steven see Adolphson, Alan, 92g:11086 and 92k:11063 


11L10 Jacobsthal and Brewer sums; other complete character 
sums 


Autuore, Julie (with Evans, Ronald J.) Evaluations of Selberg character sums. 92¢:11085 
Evans, Ronald J. see Autuore, Julie, 92c:11085 


Items with secondary classifications in 11L10 


Audit, Philippe Properties of cyclic permutation matrices on Potts spin spaces and 
associated arithmetical polynomials. 92¢:82028 


11L15 Weyl sums 


Bombieri, Enrico On Vinogradov’s mean value theorem and Weyl sums. 92g:11084 

Huxley, M. N. Modular functions and trigonometric sums. 92a:11093 

— Exponential sums after Bombieri and Iwaniec. 92m:11083 

— (with Kolesnik, Grigori) Exponential sums and the Riemann zeta function. III. 
92d:11089 

Kolesnik, Grigori see Huxley, M. N., 92d:11089 





193 1992 


11L20 Sums over primes 


Allakov, I. A. An estimate for trigonometric sums in powers of prime numbers in an 
arithmetic progression. (Russian) 92e:11084 

— see also Israilov, M. I., 92g:11085 

Israilov, M. 1. (with Allakov, I. A.) Estimation of trigonometric sums over the square of 
prime numbers in an arithmetic progression. (Russian. Uzbek summary) 92g:11085 


Items with secondary classifications in 11L20 

Baker, R.C. (with Harman, Glyn) On the distribution of ap* modulo one. 92£:11096 

Harman, Glyn Diophantine approximation by prime numbers. 92j:11066 

— see also Baker, R. C., 92f:11096 

Wolke, Dieter Uber Goldbach-Zerlegungen mit nahezu gleichen Summanden. (English 
summary) [On Goldbach decompositions with almost equal summands] 92k:11107 


11L26 Sums over arbitrary intervals 


Jutila, Matti Mean value estimates for exponential sums with applications to L-functions. 
92a:11094 


Items with secondary classifications in 11L26 

Berend, Daniel (with Kolesnik, Grigori) Distribution modulo | of some oscillating 
sequences. 92d:11079 

Graham, S. W. (with Ringrose, C. J.) Lower bounds for least quadratic nonresidues. 
92d:11108 

Kolesnik, Grigori see Berend, Daniel, 92d:11079 

Ringrose, C. J. see Graham, S. W., 924:11108 


11L40 Estimates on character sums 


Adolphson, Alan (with Sperber, Steven) On twisted exponential sums. 92g:11086 

Dobrowolski, Edward (with Williams, Kenneth S.) An upper bound for the sum 
DAth | f(n) for a certain class of functions f. 92c:11086 

Friedlander, J. B. (with Iwaniec, Henryk) A mean-value theorem for character sums. 
92k:11084 

Ismoilov, D. I. Lower bounds on character sums of polynomials with respect to a composite 
modulus. (Russian. Tajiki summary) 92k:11085 

— Estimates for the complete character sums of polynomials. (Russian) 92m:11084 

Iwaniec, Henryk see Friedlander, J. B., 92k:11084 

Lucht, Lutz (with Wolke, Dieter) Uber trigonometrische Reihen mit zahlentheoretischen 
Koeffizienten. [On trigonometric series with number-theoretic coefficients] 92j:11086 

Peretti, A. Errata: “A probabilistic model for evaluating trigonometric and exponen- 
tial sums” [Bull. Number Theory Related Topics 11 (1987), no. 1-3, 113-140; MR 
90e:1112%). 

Sperber, Steven see Adolphson, Alan, 92g:11086 

Williams, Kenneth S. see Dobrowolski, Edward, 92c:11086 

Wolke, Dieter see Lucht, Lutz, 92j:11086 


Items with secondary classifications in 11L40 


Adolphson, Alan (with Sperber, Steven) p-adic estimates for exponential sums. 92d:11086 

Anderson, Greg W. A short proof of Selberg’s generalized beta formula. 92j:33006 

Elliott, P. D. T. A. Some remarks about multiplicative functions of modulus < 1. 92b:11067 

Horn, Ginter Abschatzungen zum maximalen k-ten Potenzteiler. II. [Estimates on the 
maximal kth power divisor. II] 92i:11099 

Huxley, M. N. (with Kolesnik, Grigori) Exponential sums and the Riemann zeta function. 
Ill. 92d:11089 

Kolesnik, Grigori see Huxley, M. N., 92d:11089 

Mason, A. W. (with Odoni, R. W. K.; Stothers, W. W.) Almost all Bianchi groups have free, 
noncyclic quotients. 92j:11042 

Odoni, R. W. K. see Mason, A. W.; et al., 92j:11042 

Sperber, Steven see Adolphson, Alan, 92d:11086 

Stepanov, S. A. Lower bounds on character sums over finite fields. (Russian) 92h:11109 

Stothers, W. W. see Mason, A. W.; et al., 92j:11042 


11L99 None of the above, but in this section 
Baitasova, T. On arithmetic methods for harmonic analysis. (Russian) 92d:11090 


Items with secondary classifications in 11L99 

Audit, Philippe Arithmetical polynomials derived from the spectrum of cyclic permutation 
operators on spin spaces. 92b:82041 

Koblitz, Neal Jacobi sums, irreducible zeta-polynomials, and cryptography. 92¢:11067 

Kukhtin, V. V. (with Shramko, O. V.) Lattice sums within the Euler-MacLaurin approach. 
92d:82101 

Shramko, O. V. see Kukhtin, V. V., 92d:82101 


11Mxx Zeta and L-functions: analytic theory 


Items with secondary classifications in 11Mxx 


Varga, Richard S. * Scientific computation on mathematical problems and conjectures. 
92b:65012 


11M06 ¢(s) and L(s, x) 


Balasubramanian, Ramachandran (with Ramachandra, K.) An alternative approach toa 
theorem of Tom Meurman. 92h:11069 

— (with Ramachandra, K.) Proof of some conjectures on the mean-value of Titchmarsh 
series. I. 92b:11059 

Bartz, K.M. On some complex explicit formulae connected with the Mébius function. I, II. 
92j:11087 


11M _ Zeta and L-functions: analytic theory 


11M06 


Bhattacharjee, N. R. (with Bhattacharjee, T.) Extension of zeta function {(2m). 92d:11091 

Bhattacharjee, T. see Bhattacharjee, N. R., 92d:11091 

Butzer, P. L. (with Markett, Clemens; Schmidt, Michael) Stirling numbers, central factorial 
numbers, and representations of the Riemann zeta function. 92a:11095 

Ewell, John A. On values of the Riemann zeta function at integral arguments. 92c:11087 

Hoffman, Michael E. Multiple harmonic series. 92i:11089 

Hwang, Jun Shung A short proof of the Hamburger-Siegel theorem about the Riemann zeta 
function. 92m:11085 

Katsurada, Masanori (with Matsumoto, Kohji) Asymptotic expansions of the mean values 
of Dirichlet L-functions. 92i:11090 

Keiper, J. B. Power series expansions of Riemann’s € function. 92f:11116 

Kim, Jae Moon Formal groups and Dirichlet L-functions. 92a:11096 

Laurinéikas, A. A limit theorem for the Riemann zeta-function near the critical line in the 
complex space. 92h:11070 

Lavrik, A. F. The arithmetic equivalent of the Riemann functional equation. (Russian) 
92d:11095 

Markett, Clemens see Butzer, P. L.; et al., 92a:11095 

Matsumoto, Kohji see Katsurada, Masanori, 92i:11090 

Moser, Jan The Riemann zeta-function and Einstein-Friedmann equations. III. (Russian. 
English and Slovak summaries) 92b:11061 

— The Riemann hypothesis and the area of the Z-surface of revolution. (Russian. English 
and Slovak summaries) 92e:11085 

— The Riemann-Siegel formula and some analogues of the Kotel/nikov-Whittaker-Nyqvist 
theorem from information theory. (Russian. English and Slovak summaries) 92e:11086 

— On the order of a Titchmarsh sum in the theory of the Riemann zeta function. (Russian) 
92k:11086 

Ramachandra, K. On the frequency of Titchmarsh’s phenomenon for ¢(s). IX. 92a:11097 

— Proof of some conjectures on the mean-value of Titchmarsh series with applications to 
Titchmarsh’s phenomenon. 92b:11060 

— see also Balasubramanian, Ramachandran, 92b:11059 and 92h:11069 

Reddy, P. V. Note on Liouville’s A and Jordan’s J, function. 92i:11091 

Schmidt, Michael see Butzer, P. L.; et al., 92a:11095 

Wang, Wei? Fourth power mean value of Dirichlet’s L-functions. 92k:11087 

Wu, Yun Fei The series >*° , n”!/(n?* + x?) and the Riemann zeta function. (Chinese. 
English summary) 92j:11088 

Zhang, Nan Yue The Euler constant and some sums associated with the zeta function. 
(Chinese) 92a:11098 

Zhang, Wen Peng On the Dirichlet L-functions. 92d:11092 

— On the several identities of Riemann zeta-function. 92m:11086 


Items with secondary classifications in 11M06 


Bakas, Ioannis (with Bowick, Mark J.) Curiosities of arithmetic gases. 92d:82007 

Balasubramanian, Ramachandran (with Ramachandra, K.) Proof of some conjectures on 
the mean-value of Titchmarsh series. II. 92j:11094 

Balog, Antal (with Harman, Glyn) On mean values of Dirichlet polynomials. 92m:11089 

Bitar, Khalil M. (with Khuri, N. N.; Ren, H.C.) Path integrals and Voronin’s theorem on 
the universality of the Riemann zeta function. 92g:81101 

— (with Khuri, N. N.; Ren, H.C.) Path integrals as discrete sums. 92d:81073 

Bowick, Mark J. see Bakas, Ioannis, 92d:82007 

Brandt, F.T. (with Frenkel, J.; Taylor, John Clayton) Calculation of finite-temperature 
effects in field theories. 92h:81102 

Calderén, Catalina (with Zarate Azcuna, Maria José) A generalization of Selberg’s 
asymptotic formula. 92¢:11094 

Conrey, J.B. (with Ghosh, Amit) Zeros of derivatives of the Riemann zeta-function near 
the critical line. 92i:11093 

Frenkel, J. see Brandt, F. T.; et al., 92h:81102 

Friedlander, J. B. (with Iwaniec, Henryk) A mean-value theorem for character sums. 
92k:11084 

Ghosh, Amit see Conrey, J. B., 92i:11093 

Harman, Glyn see Balog, Antal, 92m:11089 

Heath-Brown, D. R. The number of abelian groups of order at most x. 92m:11106 

Huxley, M. N. Exponential sums after Bombieri and Iwaniec. 92m:11083 

— (with Kolesnik, Grigori) Exponential sums and the Riemann zeta function. III. 
92d:11089 

Ivi¢é, Aleksandar Some new results on the theory of the Riemann zeta function. (Serbo- 
Croatian) 92j:11090 

Iwaniec, Henryk see Friedlander, J. B., 92k:11084 

Jutila, Matti Mean vaiue estimates for exponential sums with applications to L-functions. 
92a:11094 

Karatsuba, A. A. Distribution of primes. (Russian) 92a:11102 

Khuri, N. N. see Bitar, Khalil M.; et al., 92d:81073 and 92g:81101 

Kolesnik, Grigori see Huxley, M. N., 92d:11089 

Kuo, Chia Nan The remainder terms aspect of the theory of the Riemann zeta-function. 
92h:11072 

Lavrik, A. F. Functional equations with a parameter for zeta-functions. (Russian) 
92d:11096 

Lyakhovskii, V. D. (with Shtykov, N. N.; Vasilevich, D. V.) DeWitt-Schwinger expansion 
for projective and Grassmann spaces. 92e:58213 

(Montgomery, Hugh L.) see Ramachandra, K., 92j:11092 

Moser, Jan Some equations of state that can be defined by Riemann zeta-functions. 
(Russian. English and Slovak summaries) 92b:83018 

Nakaya, Hideki The generalized divisor problem and the Riemann hypothesis. 92k:11099 

Peretti, A. Erratum: “Some new formulae in the theory of the zeta function. III” [Bull. 
Number Theory Related Topics 11 (1987), no. 1-3, 190-203; MR 90f:11075). 

Ramachandra, K. (with Sankaranarayanan, Ayyadurai) Note on a paper by H. L. Mont- 
gomery. II: “Extreme values of the Riemann zeta function” (Comment. Math. Helv. 52 
(1977), no. 4, 511-518; MR 57 #249]. 92j:11092 

— see also Balasubramanian, Ramachandran, 92j:11094 

Ren, H.C. see Bitar, Khalil M.; et al., 92d:81073 and 92g:81101 

Sankaranarayanan, Ayyadurai see Ramachandra, K., 92j:11092 





11M06 


Shtykov, N. N. see Lyakhovskii, V. D.; et al., 92e:58213 

Sinai, Ya. G. Finite-dimensional randomness. (Russian) 92h:58118 

Szydio, Bogdan Uber eine Methode, die Anzahl der Vorzeichenwechsel arithmetischer 
Funktionen von unten abzuschatzen. [On a method for estimating the number of sign 
changes of arithmetic functions from below] 92g:11090 

Taylor, John Clayton see Brandt, F. T.; et al., 92h:81102 

Vasilevich, D. V. see Lyakhovskii, V. D.; et al., 92e:58213 

Zarate Azcuna, Maria José see Calderén, Catalina, 92c:11094 

Zhan, Tao On the representation of large odd integer as a sum of three almost equal primes. 
92m:11113 


11M20 Real zeros of L(s, x); results on L(1, 7) 


Ramachandra, K. A simple proof of Siegel-Tatuzawa theorem. 92h:11071 

Slavut-skii, I. Sh. Mean value of L-functions and the class number of a cyclotomic field. II. 
(Russian) 92e:11087 

Zhang, Wen Peng A mean value formula for Dirichlet L-functions. (Chinese) 

— On the fourth power means of Dirichlet L-functions. (Chinese) 92i:11092 


Items with secondary classifications in 11M20 


Dilcher, Karl Generalized Euler constants for arithmetical progressions. 92k:11145 

Nair, Mohan (with Perelli, Alberto) Sieve methods and class-number problems. III. 
92j:11104 

Perelli, Alberto see Nair, Mohan, 92j:11104 

Wang, Lan An upper bound of class number of cyclotomic field Q(¢,). 92c:11123 


11M26 Nonreal zeros of ¢(s) and L(s, x); Riemann and other 
hypotheses 


Conrey, J.B. (with Ghosh, Amit) Zeros of derivatives of the Riemann zeta-function near 
the critical line. 92i:11093 

Csordas, George (with Varga, Richard S.; Vincze, Istvan) Jensen polynomials with 
applications to the Riemann ¢-function. 92g:11087 

Ghosh, Amit see Conrey, J. B., 92i:11093 

Haran, Shai Index theory, potential theory, and the Riemann hypothesis. 92i:11094 

Hejhal, Dennis A. On a result of G. Pélya concerning the Riemann €-function. 92c:11088 

Hu, Pei Chu An application of the Carleman formula. (Chinese. English summary) 
92j:11089 

Ivi¢é, Aleksandar Some new results on the theory of the Riemann zeta function. (Serbo- 
Croatian) 92j:11090 

Kaczorowski, J. The k-functions in multiplicative number theory. III. Uniform distribution 
of zeta zeros; discrepancy. 92f:11117a 

— The k-functions in multiplicative number theory. IV. On a method of A. E. Ingham. 
92f:11117b 

Karatsuba, A. A. On a density theorem. (Russian) 92m:11087 

Kuo, Chia Nan The remainder terms aspect of the theory of the Riemann zeta-function. 
92h:11072 

Lapidus, Michel L. (with Maier, Helmut) Hypothése de Riemann, cordes fractales 
vibrantes et conjecture de Weyl-Berry modifiée. (English summary) [The Riemann 
hypothesis, vibrating fractal strings and the modified Weyl-Berry conjecture] 92f:11118 

Maier, Helmut see Lapidus, Michel L., 92f:11118 

Matiyasevich, Yu. V. The Riemann hypothesis from a logician’s point of view. 92f:11119 

Moser, Jan The Riemann hypothesis and the behavior of the function Z(t) in short 
intervals. (Russian) 92k:11088 

Newman, Charles M. The GHS inequality and the Riemann hypothesis. 92f:11120 

Ozliik, Ali E. On the pair correlation of zeros of Dirichlet L-functions. 92j:11091 

Peretti, A. Erratum: “Some new formulae in the theory of the zeta function. III” [Bull. 
Number Theory Related Topics 11 (1987), no. 1-3, 190-203; MR 90f:11075]. 

Pustylnikov, L. D. On the relationship between Riemann’s problem on zeros of the function 
¢(s) and the spectrum of an operator in Hilbert space. (Russian) 92m:11088 

Tsang, Kai Man An improved 2, theorem for S;(t). 92i:11095 

Varga, Richard S. see Csordas, George; et al., 92g:11087 

Vincze, Istvan see Csordas, George; et al., 92g:11087 

Wolke, Dieter On a certain class of multiplicative functions. 92e:11088 

Yildirim, C. Yalgin The mean value of |{(4 + it)|? at the zeros of Z(t). 92a:11099 


Items with secondary classifications in 11M26 

Bartz, K.M. On some complex explicit formulae connected with the Mobius function. I, II. 
92j:11087 

Chen, Jing Run (with Liu, Jian Min?) On the least prime in an arithmetical progression and 
theorems concerning the zeros of Dirichlet’s L-functions. V. 92m:11093 

Dai, Ji Qiong see Dai, Xian Xi; et al., 92a:82135 

Dai, Xian Xi (with Xu, Xin Wen; Dai, Ji Qiong) On a specific heat-phonon spectrum 
inversion problem. Exact solution, unique existence theorem and Riemann hypothesis. 
92a:82135 

Fujii, Akio An additive problem of prime numbers. 92k:11106 

Graham, S. W. (with Ringrose, C. J.) Lower bounds for least quadratic nonresidues. 
92d:11108 

Huang, Ming-Deh A. Generalized Riemann hypothesis and factoring polynomials over 
finite fields. 92j:68057 

Kaczorowski, J. The k-functions in multiplicative number theory. V. Changes of sign of 
some arithmetical error terms. 92j:11096 

Katai, Imre Some problems and results on the local behaviour of arithmetical functions. 
92h:11080 

Khuri, N. N. Entire functions and potentials: zeros of the zeta function as redundant poles. 
92b:81214 

Liu, Jian Min? see Chen, Jing Run, 92m:11093 

Mikolas, Miklés Einige neuere Aspekte und analytische-technische Anwendungen 
Diophantischer Approximationen. [Some novel aspects and analytical-technical 
applications of Diophantine approximations] 92e:11072 


NUMBER THEORY 


1992 194 


Nakaya, Hideki The generalized divisor problem and the Riemann hypothesis. 92k:11099 
te Riele, H. J. J. A new lower bound for the de Bruijn-Newman constant. 92¢:30030 
Ringrose, C. J. see Graham, S. W., 92d:11108 

Xu, Xin Wen see Dai, Xian Xi; et al., 92a:82135 


11M35 Hurwitz and Lerch zeta functions 


(Montgomery, Hugh L.) see Ramachandra, K., 92j:11092 

Ramachandra, K. (with Sankaranarayanan, Ayyadurai) Note on a paper by H. L. Mont- 
gomery. II: “Extreme values of the Riemann zeta function” [Comment. Math. Helv. 52 
(1977), no. 4, 511-518; MR 57 #249]. 92j:11092 

Sankaranarayanan, Ayyadurai see Ramachandra, K., 92j:11092 

Zhang, Wen Peng On the Hurwitz zeta-function. 92j:11093 


Items with secondary classifications in 11M35 


Abou-Tair, Ibrahim A. On a certain class of Dirichlet series. 92b:11062 

Almkvist, Gert (with Meurman, Arne) Values of Bernoulli polynomials and Hurwitz’s zeta 
function at rational points. 92g:11023 

Meurman, Arne see Almkvist, Gert, 92g:11023 

Ramachandra, K. Proof of some conjectures on the mean-value of Titchmarsh series with 
applications to Titchmarsh’s phenomenon. 92b:11060 

Zhang, Wen Peng On the Dirichlet L-functions. 92d:11092 


11M41 Other Dirichlet series and zeta functions {For local and 
global ground fields, see 11R42, 11R52, 11840, 11S45; 
for algebro-geometric methods, see 14G10; see also 
11E45, 11F66, 11F70, 11F72.} 


Abou-Tair, Ibrahim A. On certain Dirichlet series related to Hurwitz zeta-function. 
92¢:11089 

— On a certain class of Dirichlet series. 92b:11062 

Balasubramanian, Ramachandran (with Ramachandra, K.) Proof of some conjectures on 
the mean-value of Titchmarsh series. II. 92j:11094 

— (with Ramachandra, K.) On the zeros of a class of generalised Dirichlet series. VIII, IX. 
92m:11091 

Balog, Antal (with Harman, Glyn) On mean values of Dirichlet polynomials. 92m:11089 

Bourgain, Jean Remarks on Montgomery’s conjectures on Dirichlet sums. 92k:11089 

Harman, Glyn see Balog, Antal, 92m:11089 

Hashimoto, Ki-ichiro On zeta and L-functions of finite graphs. 92¢:11089 

Jutila, Matti Exponential sums connected with quadratic forms. 92d:11093 

Klusch, Dieter On entry 8 of Chapter 15 of Ramanujan’s Notebook II. 92e:11090 

Kurokawa, Nobushige Multiple sine functions and Selberg zeta functions. 92d:11094 

Lavrik, A. F. Functional equations with a parameter for zeta-functions. (Russian) 
92d:11096 

Lev, V. F. A hyperbolic zeta function of general form. (Russian) 92¢:11091 

Matsumoto, Kohji Value-distribution of zeta-functions. 92b:11063 

Ochiai, Hiroyuki see Satd, Fumihiro, 92j:11095 

Ramachandra, K. On the zeros of a class of generalised Dirichlet series. VII. 92m:11090 

— see also Balasubramanian, Ramachandran, 92j:11094 and 92m:11091 

(Ramanujan, Srinivasa) see Klusch, Dieter, 92e:11090 

Satd, Fumihiro The Maass zeta function attached to positive definite quadratic forms. 
92a:11100 

— (with Ochiai, Hiroyuki) Castling transforms of prehomogeneous vector spaces and 
functional equations. 92j:11095 

Takase, Koichi On special values of Selberg type zeta functions on SU(1,q + 1). 92k:11090 

Turganaliev, R.T. Fractional moments of Dirichlet series that are generated by the 
Ramanujan function. (Russian. Kazakh summary) 92a:11101 

Yoshida, Eiji On the order of growth of the Kloosterman zeta function. 92k:11091 


Items with secondary classifications in 11M41 


Balasubramanian, Ramachandran (with Ramachandra, K.) Proof of some conjectures on 
the mean-value of Titchmarsh series. I. 92b:11059 

Bartz, K. M. Correction to the paper: “An effective order of Hecke-Landau zeta functions 
near the line o = 1. I” [Acta Arith. 50 (1988), no. 2, 183-193; MR 91b:11130]. 9211160 

Calderén, Catalina Concerning Voronoi’s formula and Hecke’s functional equation. 
(Spanish) 92e:11101 

Christian, Ulrich Uber “Primzahlsatze” fiir hyperbolische Klassen und die Konvergenz- 
abszisse der logarithmischen Ableitung einer Selberg’schen Zetafunktion fiir elliptische 
Modulgruppen. [On “prime theorems” for hyperbolic classes and the convergence ab- 
scissa of the logarithmic derivative of a Selberg zeta function for elliptic modular groups] 
92k:11056 

Fang, Chong Hsio (with Yi, Wén Ch’ing) On the values of a zeta function at nonpositive 
integers. 92d:11034 

Fryska, Tadeusz Correction: “On some formulas in analytic number theory. I” [Funct. 
Approx. Comment. Math. 18 (1989), 121-133; MR 91f:11077]. (German) 92c:11132 

Hejhal, Dennis A. On a result of G. Pélya concerning the Riemann €-function. 92c:11088 

Hosokawa, Hiroshi The Igusa local zeta function associated with the nonregular irreducible 
prehomogeneous vector space. 92g:11116 

Kimura, Tatsuo (with Kogiso, Takeyoshi) On adelic zeta distributions associated to certain 
regular prehomogeneous vector spaces. (Japanese) 92e:11137 

Kogiso, Takeyoshi see Kimura, Tatsuo, 92e:11137 

Kurokawa, Nobushige Analyticity of Dirichlet series over prime powers. 92b:11033 

Li, Xin Zhou see Shi, Xin, 92b:81157 

Loeser, Francois Fonctions d’Igusa p-adiques, polynémes de Bernstein, et polyédres 
de Newton. [p-adic Igusa functions, Bernstein polynomials and Newton polyhedra] 
92¢:11139 

Matthies, C. (with Steiner, F.) Selberg’s ¢ function and the quantization of chaos. 
92k:81042 





195 1992 


Murase, Atsushi L-functions attached to Jacobi forms of degree n. II. Functional equation. 
92h:11038 

(Muro, Masakazu) see Sato, Mikio, 92c:32039 

Perry, Peter A. The Selberg zeta function and a local trace formula for Kleinian groups. 
92e:11057 

Ramachandra, K. Proof of some conjectures on the mean-value of Titchmarsh series with 
applications to Titchmarsh’s phenomenon. 92b:11060 

— see also Balasubramanian, Ramachandran, 92b:11059 

Sato, Mikio Theory of prehomogeneous vector spaces (algebraic part)—the English 
translation of Sato’s lecture from Shintani’s note. 92c:32039 


Shi, Xin (with Li, Xin Zhou) Epstein zeta function and toy p-branes from old string action. 


92b:81157 

(Shintani, Takuro) see Sato, Mikio, 92c:32039 

Steiner, F. see Matthies, C., 92k:81042 

Stepanova, L. L. Conditions for the periodicity of generalized characters. (Russian) 
92a:11115 

Tsumura, Hirofumi A note on g-analogues of the Dirichlet series and g-Bernoulli numbers. 
92j:11020 

Vinogradov, A. I. The zeta function of a convolution. (Russian. English summary) 
92e:11046 

Ya, Wén Ch’ing see Fang, Chong Hsio, 92d:11034 

Zhang, Wen Bin The abstract prime number theorem for algebraic function fields. 
92d:11111 


11M45 Tauberian theorems [see also 40E05] 


Items with secondary classifications in 11M45 

Baran, Mirostaw A Karamata method. I. Elementary properties and applications. 
92e:11092 

Herzog, Joachim On partitions into distinct parts > y. 92c:11109 

Pollicott, Mark Agmon’s complex Tauberian theorem and closed orbits for hyperbolic and 
geodesic flows. 92g:58104 


11M99 None of the above, but in this section 


Items with secondary classifications in 11M99 

Berndt, Bruce C. (with Evans, Ronald J.) An integral functional equation of Ramanujan 
related to the dilogarithm. 92f:33002 

Evans, Ronald J. see Berndt, Bruce C., 92f:33002 


11Nxx Miultiplicative number theory 


Items with secondary classifications in 11Nxx 

Hlawka, Edmund (with SchoiBengeier, Johannes; Taschner, Rudolf) * Geometric and 
analytic number theory. 92f:11002 

SchoiBengeier, Johannes see Hlawka, Edmund; et al., 92f:11002 

Taschner, Rudolf see Hlawka, Edmund; et al., 92f:11002 

(Thomas, Charles B.) see Hlawka, Edmund; et al., 92f:11002 


11N05 Distribution of primes 


Baran, Mirosiaw A Karamata method. I. Elementary properties and applications. 
92e:11092 

Calderén, Catalina (with Zarate Azcuna, Maria José) A variant of Selberg’s asymptotic 
formula. 92g:11088 

Harman, Glyn Fractional and integral parts of p*. 92g:11089 

Haugland, Jan Kristian Large prime-free intervals by elementary methods. (Norwegian. 
English summary) 92h:11073 

Heath-Brown, D. R. The difference between consecutive primes. IV. 92k:11092 

Karatsuba, A. A. Distribution of primes. (Russian) 92a:11102 

Liu, Hong Quan (with Rivat, J.) On the Pjateckii-Sapiro prime number theorem. 
92m:11092 

Mikawa, Hiroshi On prime twins. 92h:11074 

Rivat, J. see Liu, Hong Quan, 92m:11092 

Selvaraj, S. A note on Riemann sums and improper integrals related to the prime number 
theorem. 92f:11121 

Shiu, P. The intermediate value theorem and the density of prime numbers. 92¢:11093 

Szydio, Bogdan Uber eine Methode, die Anzahl der Vorzeichenwechsel arithmetischer 
Funktionen von unten abzuschatzen. [On a method for estimating the number of sign 
changes of arithmetic functions from below] 92g:11090 

Zarate Azcuna, Maria José see Calderén, Catalina, 92g:11088 


Items with secondary classifications in 11N05 


Balog, Antal (with Harman, Glyn) On mean values of Dirichlet polynomials. 92m:11089 

Bartz, K.M. On some complex explicit formulae connected with the Mobius function. I, II. 
92j:11087 

Calderén, Catalina (with Zarate Azcuna, Maria José) A generalization of Selberg’s 
asymptotic formula. 92c:11094 

Harman, Glyn see Balog, Antal, 92m:11089 

Ishibashi, Makoto Effective version of the Tschebotareff density theorem in function fields 
over finite fields. 92k:11135 

Jia, Chao Hua Three primes theorem in a short interval. V. 92j:11103 

— Three primes theorem in a short interval. IV. 92j:11102 

Kaczorowski, J. The k-functions in multiplicative number theory. III. Uniform distribution 
of zeta zeros; discrepancy. 92f:11117a 

— The k-functions in multiplicative number theory. IV. On a method of A. E. Ingham. 
92:11117b 


11N Multiplicative number theory 


11N25 


— The k-functions in multiplicative number theory. V. Changes of sign of some arithmetical 
error terms. 92j:11096 

Lépez Fernandez-Asenjo, Félix (with Tena Ayuso, Juan) * Introduccién a la teoria de 
numeros primos. (Spanish) [Introduction to the theory of prime numbers] 92g:11001 

Ribenboim, Paulo * The little book of big primes. 92i:11008 

Sander, J. W. Prime power divisors of (7"). 92i:11097 

Tena Ayuso, Juan see Lépez Fernandez-Asenjo, Félix, 92g:11001 

Waddington, Simon The prime orbit theorem for quasihyperbolic toral automorphisms. 
92k:58219 

Zdérate Azcuna, Maria José see Calderén, Catalina, 92c:11094 


11N13 Primes in progressions [see also 11B25] 


Allakov, I. A. The distribution of the fractional part of the sequence ap? with prime 
numbers in an arithmetic progression. (Russian. Uzbek summary) 92e:11094 

Chen, Jing Run (with Liu, Jian Min”) On the least prime in an arithmetical progression and 
theorems concerning the zeros of Dirichlet’s L-functions. V. 92m:11093 

Friedlander, J. B. Shifted primes without large prime factors. 92m:11094 

— (with Granville, Andrew; Hildebrand, Adolf; Maier, Helmut) Oscillation theorems for 
primes in arithmetic progressions and for sifting functions. 92a:11103 

Granville, Andrew see Friedlander, J. B.; et al., 92a:11103 

Hildebrand, Adolf see Friedlander, J. B.; et al., 92a:11103 

Kaczorowski, J. The k-functions in multiplicative number theory. V. Changes of sign of 
some arithmetical error terms. 92j:11096 

Liu, Jian Min? see Chen, Jing Run, 92m:11093 

Maier, Helmut see Friedlander, J. B.; et al., 92a:11103 


Items with secondary classifications in 11N13 

Cai, Tian Xin Primes representable by polynomials and the lower bound of the least primes 
in arithmetic progressions. 92d:11100 

Chen, Jing Run (with Wang, Jian Ze) A note on the Goldbach problem. (Chinese) 
92g:11101 

Granville, Andrew Some conjectures in analytic number theory and their connection with 
Fermat's last theorem. 92a:11031 

Wang, Jian Ze see Chen, Jing Run; et al., 92g:11101 


11N25 Distribution of integers with specified multiplicative 
constraints 


Balazard, Michel (with Smati, Abdelhakim) Elementary proof of a theorem of Bateman. 
92a:11104 

Balog, Antal (with Pomerance, Carl) The distribution of smooth numbers in arithmetic 
progressions. 92h:11075 

Erdés, Paul (with Nicolas, Jean-Louis) On functions connected with prime divisors of an 
integer. 92i:11096 

Filaseta, Michael (with Trifonov, Ognian) On gaps between squarefree numbers. 
92a:11105 

Granville, Andrew On positive integers < x with prime factors < tlogx. 92h:11076 

— On pairs of coprime integers with no large prime factors. 92m:11095 

Hall, R. R. (with Tenenbaum, Gérald) The set of multiples of a short interval. 92m:11096 

Harman, Glyn On sparsely totient numbers. 92h:11077 

Heath-Brown, D. R. Square-full numbers in short intervals. 92c:11090 

Hildebrand, Adolf On consecutive kth power residues. II. 92d:11097 

Kiss, Péter Results and problems concerning prime divisors of Lucas numbers. 92e:11095 

Luo, Wen Zhi Lower bound for number of B-twins in short intervals. 92j:11097 

Nicolas, Jean-Louis see Erdés, Paul, 92i:11096 

Nowak, Werner Georg On the Piltz divisor problem with congruence conditions. II. 
92i:11101 

Pomerance, Carl see Balog, Antal, 92h:11075 

Sander, J. W. Prime power divisors of (*"). 92i:11097 

Shiu, P. The distribution of cube-full numbers. 92g:11091 

Smati, Abdelhakim see Balazard, Michel, 92a:11104 

Smida, Hikma Sur les puissances de convolution de la fonction de Dickman. [On the 
convolution powers of the Dickman function] 92k:11093 

Tenenbaum, Gérald Sur un probléme d’Erdés et Alladi. [On a problem of Erdés and Alladi] 
92d:11098 

— see also Hall, R. R., 92m:11096 

Trifonov, Ognian On the gaps between consecutive k-free numbers. 92a:11106 

— see also Filaseta, Michael, 92a:11105 

Varbanets, P. D. On the distribution of natural numbers with divisors from an arithmetic 
progression. 92j:11098 

Wiertelak, Kazimierz On the density of some sets of integers. 92d:11099 


Items with secondary classifications in 11N25 


Balog, Antal The prime k-tuplets conjecture on average. 92e:11105 

Calderén, Catalina (with Zarate Azcuna, Maria José) A generalization of Selberg’s 
asymptotic formula. 92¢:11094 

Erdés, Paul (with Pomerance, Carl) On a theorem of Besicovitch: values of arithmetic 
functions that divide their arguments. 92a:11091 

Friedlander, J. B. Shifted primes without large prime factors. 92m:11094 

— (with Granville, Andrew; Hildebrand, Adolf; Maier, Helmut) Oscillation theorems for 
primes in arithmetic progressions and for sifting functions. 92a:11103 

Granville, Andrew see Friedlander, J. B.; et al., 92a:11103 

Harman, Glyn Sums of two squares in short intervals. 92e:11099 

Harris, V.C. (with Subbarao, M. V.) On product partitions of integers. 92m:11101 

Hildebrand, Adolf see Friedlander, J. B.; et al., 92a:11103 

Kan, Jia Hai A theorem in multiplicative number theory. 92c:11093 

Maier, Heimut see Friedlander, J. B.; et al., 92a:11103 

Pomerance, Carl see Erdés, Paul, 92a:11091 

Subbarao, M. V. see Harris, V. C., 92m:11101 





11N25 


Warlimont, Richard Arithmetical semigroups. II. Sieving by large and small prime elements. 


Sets of multiples. 92c:11098 
Zérate Azcuna, Maria José see Calderén, Catalina, 92c:11094 


11N30 Turan theory [see also 30Bxx] 


Items with secondary classifications in 11N30 

Csordas, George (with Varga, Richard S.; Vincze, Istvan) Jensen polynomials with 
applications to the Riemann ¢-function. 92g:11087 

Prather, C. L. Some generalized Pélya-Turan inequalities. 92b:33057 

Varga, Richard S. see Csordas, George; et al., 92g:11087 

Vincze, Istvan see Csordas, George; et al., 92g:11087 


11N32 Primes represented by polynomials; other multiplicative 
structure of polynomial values 


Cai, Tian Xin Primes representable by polynomials and the lower bound of the least primes 
in arithmetic progressions. 924:11100 

Filaseta, Michael Squarefree values of polynomials. 92m:11097 

Greaves, George Power-free values of binary forms. 92m:11098 

Pomykaia, Jacek Primes represented by a system of quadratic forms. 92m:11099 

Shparlinskii, 1. E. On polynomial congruences. (Russian) 92h:11078 

Tenenbaum, Gérald Sur une question d’Erdés et Schinzel. [On a question posed by Erdés 
and Schinzel] 92j:11099 

— Sur une question d’Erdés et Schinzel. II. [On a question of Erdés and Schinzel. IT] 
92j:11100 


Items with secondary classifications in 11N32 
Kan, Jia Hai A theorem in multiplicative number theory. 92c:11093 


11N35 Sieves 


Diamond, Harold George (with Halberstam, H.; Richert, H.-E.) A boundary value problem 
for a pair of differential delay equations related to sieve theory. I. 92a:11107 

— (with Halberstam, H.; Richert, H.-E.) Sieve auxiliary functions. 92f:11122 

Elliott, P. D. T. A. On maximal versions of the large sieve. 92k:11094 

Halberstam, H. see Diamond, Harold George; et al., 92a:11107 and 92f:11122 

Hildebrand, Adolf The asymptotic behavior of the solutions of a class of differential- 
difference equations. 92f:11123 

Kan, Jia Hai Lower and upper bounds for the number of solutions of p + h = P,. 
92c:11091a 

— On the lower bound sieve. 92c:11092 

— On the number of solutions of N — p = P,. 92c:11091b 

Richert, H.-E. Aspects of the small sieve. 92j:11101 

— see also Diamond, Harold George; et al., 92a:11107 and 92f:11122 

Warlimont, Richard On a problem posed by I. Z. Ruzsa. 92k:11095 


Items with secondary classifications in 11N35 

De Koninck, Jean-Marie (with Mercier, Armel) Fonctions arithmétiques tronquées. 
[Truncated arithmetical functions] 92k:11007 

Gouvéa, F. (with Mazur, Barry C.) The square-free sieve and the rank of elliptic curves. 
92b:11039 

Grimmett, Geoffrey R. Statistics of sieves and square-free numbers. 92d:11102 

Mazur, Barry C. see Gouvéa, F., 92b:11039 

Mercier, Armel see De Koninck, Jean-Marie, 92k:11007 

Srinivasan, Seshadri On orders solely of abelian groups. III. 92j:11110 


11N36 Applications of sieve methods 


Fabrykowski, J. (with Subbarao, M. V.) Extension of a result of Erdés concerning the 
divisor function. 92d:11101 

Grimmett, Geoffrey R. Statistics of sieves and square-free numbers. 92d:11102 

Jia, Chao Hua Three primes theorem in a short interval. V. 92j:11103 

— Three primes theorem in a short interval. IV. 92j:11102 

Kan, Jia Hai A theorem in multiplicative number theory. 92c:11093 

Nair, Mohan (with Perelli, Alberto) Sieve methods and class-number problems. III. 
92j:11104 

Perelli, Alberto see Nair, Mohan, 92j:11104 

Subbarao, M. V. see Fabrykowski, J., 92d:11101 


Items with secondary classifications in 11N36 

Balazard, Michel (with Smati, Abdelhakim) Elementary proof of a theorem of Bateman. 
92a:11104 

Balog, Antal (with Pomerance, Carl) The distribution of smooth numbers in arithmetic 
progressions. 92h:11075 

Diamond, Harold George (with Halberstam, H.; Richert, H.-E.) A boundary value problem 
for a pair of differential delay equations related to sieve theory. I. 92a:11107 

— (with Halberstam, H.; Richert, H.-E.) Sieve auxiliary functions. 92f:11122 

Elliott, P. D. T. A. On maximal versions of the large sieve. 92k:11094 

Erdés, Paul (with Kiss, Péter; Pomerance, Carl) On prime divisors of Mersenne numbers. 
92d:11104 

Friedlander, J. B. Shifted primes without large prime factors. 92m:11094 

Halberstam, H. see Diamond, Harold George; et al., 92a:11107 and 92f:11122 

Hildebrand, Adolf On consecutive kth power residues. I]. 92d:11097 

Kan, Jia Hai On the sequence p + h. 92d:11110 

— On the representation of even numbers as the sum of a prime number and an almost 
prime number. (Chinese) 92m:11112 

Kiss, Péter see Erdés, Paul; et al., 92d:11104 


NUMBER THEORY 1992 


Liu, Hong Quan (with Rivat, J.) On the Pjateckii-Sapiro prime number theorem. 
92m:11092 

Luo, Wen Zhi Lower bound for number of B-twins in short intervals. 92j:11097 

Pomerance, Carl Factoring. 92b:11089 

— see also Erdés, Paul; et al., 92d:11104 and Balog, Antal, 92h:11075 

Pomykala, Jacek Primes represented by a system of quadratic forms. 92m:11099 

Richert, H.-E. Aspects of the small sieve. 92j:11101 

— see also Diamond, Harold George; et al., 92a:11107 and 92f:11122 

Rivat, J. see Liu, Hong Quan, 92m:11092 

Sander, J. W. On 4/n = 1/x + 1/y + 1/z and Rosser’s sieve. 92j:11031 

Scheidler, Renate (with Williams, Hugh Cowie) A method of tabulating the number- 
theoretic function g(k). 92k:11146 

Smati, Abdelhakim see Balazard, Michel, 92a:11104 

Timofeev, N. M. An analogue of a theorem of Halasz in the case of generalizing an additive 
problem of divisors. (Russian) 92f:11129 

— The Erdés-Kubilius conjecture on the distribution of the values of additive functions on 
sequences of shifted primes. (Russian) 92i:11105 

Warlimont, Richard Arithmetical semigroups. II. Sieving by large and small prime elements. 
Sets of multiples. 92c:11098 

Williams, Hugh Cowie see Scheidler, Renate, 92k:11146 

Wa, Jie! A lower bound estimate for the number of solutions of N — p = P3. (Chinese. 
English summary) 92e:11107 

Yagi, Akiko A generalized mean value theorem. 92g:11111 


11N37 Asymptotic resuits on arithmetic functions 


Balakrishnan, U. (with Sengupta, Jyoti) On the sum }> d(n)o,(n + N). 926:11124 

Bykovskii, V. A. (with Kuznetsov, N. V.; Vinogradov, A. I.) Generalized summation 
formula for inhomogeneous convolution. 92b:11064 

Cai, Tian Xin Mean value estimates for a class of arithmetic function. II. 92a:11108 

Calderén, Catalina (with Zarate Azcuna, Maria José) A generalization of Selberg’s 
asymptotic formula. 92c:11094 

Cao, Hui Zhong Essentially different factorizations of a natural number. 92b:11065 

— An inequality related to a periodic function. 92¢:11095 

Chace, Charles E. The divisor problem for arithmetic progressions with small modulus. 
92k:11096 

Codeca, Paolo A note on Ramanujan coefficients of arithmetical functions. 92d:11103 

Daboussi, Hédi (with Indlekofer, Karl-Heinz) Two elementary proofs of Halasz’s theorem. 
92k:11097 

De Koninck, Jean-Marie (with Ivi¢, Aleksandar) Random sums related to prime divisors of 
an integer. 92f:11125 

— (with Ivié, Aleksandar) On the average prime factor of an integer and some related 
problems. (Italian summary) 92b:11066 

— (with Katai, Imre; Mercier, Armel) Additive functions monotonic on the set of primes. II. 
92m:11100 

Elliott, P. D. T. A. Multiplicative functions on arithmetic progressions. III. The large 
moduli. 92g:11092 

— Some remarks about multiplicative functions of modulus < 1. 92b:11067 

Eminyan, K. M. On the problem of Dirichlet divisors in certain sequences of natural 
numbers. (Russian) 92j:11105 

Erdés, Paul (with Kiss, Péter; Pomerance, Carl) On prime divisors of Mersenne numbers. 
92d:11104 

— (with Pomerance, Carl; Schmutz, Eric) Carmichael’s lambda function. 92g:11093 

Foster, D. M. E. A lower bound for a remainder term associated with the sum of digits 
function. 92¢:11096 

Gafurov, N. On the sum of divisors of irreducible quadratic forms. (Russian. Tajiki 
summary) 92i:11098 

Guiagu, Silviu On the distribution of the number of distinct prime factors. 92j:11106 

Harris, V.C. (with Subbarao, M. V.) On product partitions of integers. 92m:11101 

Herzog, Joachim (with Smith, Paul R.) Lower bounds for a certain class of error functions. 
92m:11102 

Horn, Giinter Abschatzungen zum maximalen k-ten Potenzteiler. II. [Estimates on the 
maximal kth power divisor. II] 92i:11099 

Indlekofer, Karl-Heinz see Daboussi, Hédi, 92k:11097 

Ishibashi, Makoto (with Kanemitsu, Shigeru) Some asymptotic formulas of Ramanujan. 
92e:11096 

Ivié, Aleksandar see De Koninck, Jean-Marie, 92b:11066 and 92£:11125 

Kanemitsu, Shigeru Some asymptotic formulas of Ramanujan. II. 92k:11098 

— see also Ishibashi, Makoto, 92¢e:11696 

Katai, Imre see De Koninck, Jean-Marie; et al., 92m:11100 

Kiss, Péter see Erdés, Paul; et al., 92d:11104 

Kratzel, Ekkehard The distribution of values of a(n). 92¢:11097 

Kuznetsov, N. V. see Bykovskii, V. A.; et al., 92b:11064 

Li, Xin Zhong Value distribution properties of the number-theoretic functions g,() and 
o;(n). (Chinese. English summary) 92f:11126 

Mercier, Armel see De Koninck, Jean-Marie; et al., 92m:11100 

Nakaya, Hideki The generalized divisor problem and the Riemann hypothesis. 92k:11099 

Nowak, Werner Georg On the Piltz divisor problem with congruence conditions. 92i:11100 

— Sums of reciprocals of general divisor functions and the Selberg divisor problem. 
92m:11103 

— On the average number of finite abelian groups of a given order. (French summary) 
92m:11104 

Pétermann, Y.-F. S. Oscillations d’un terme d’erreur lié a la fonction totient de Jordan. 
(English summary) [Oscillations of an error term associated with the Jordan totient 
function] 92m:11105 

Pomerance, Carl Two methods in elementary analytic number theory. 92j:11107 

— see also Erdés, Paul; et al., 92d:11104 and 92g:11093 

Schmutz, Eric see Erdés, Paul; et al., 92g:11093 

Scourfield, E. J. On some sums involving the largest prime divisor of n. 92j:11108 

Sengupta, Jyoti see Balakrishnan, U., 92f:11124 





197 1992 


Skriganov, M. M. Geometry of numbers and uniform distributions. (Russian) 92j:11109 

Smith, Paul R. see Herzog, Joachim, 92m:11102 

Subbarao, M. V. see Harris, V.C., 92m:11101 

Tenenbaum, Gérald Une inégalité de Hilbert pour les diviseurs. (English summary) [A 
Hilbert inequality for divisors] 92i:11102 

Tulyaganov, S.T. Comparison of sums of multiplicative functions. (Russian) 92b:11068 

— On a conjecture on sums of multiplicative functions. (Russian) 92g:11094 

— Aconjecture on sums of multiplicative functions. (Russian) 92d:11105 

Vinogradov, A.1I. see Bykovskii, V. A.; et al., 92b:11064 

Warlimont, Richard On multiplicative functions of absolute value < 1. 92k:11100 

Wolke, Dieter On a problem of A. Rényi. 92g:11095 

Xuan, Ti Zuo The average order of divisor functions over integers without large prime 
factors. (Chinese) 92f:11127 

— The sum of the reciprocal values of a number-theoretic function. (Chinese. English 
summary) 92h:11079 

Z4rate Azcuna, Maria José see Calderén, Catalina, 92c:11094 


Items with secondary classifications in 11N37 


Adhikari, Sukumar Das (with Pétermann, Y.-F.S.) Lattice points in ellipsoids. 92k:11105 

Bartz, K. M. On some complex explicit formulae connected with the Mobius function. I, II. 
92j:11087 

Delange, Hubert On the use of the method of moments for the study of additive functions. 
92i:11087 

Diamond, Harold George (with Halberstam, H.; Richert, H.-E.) Sieve auxiliary functions. 
92f:11122 

Duke, W. (with Iwaniec, Henryk) Sums over primes of the Fourier coefficients of half- 
integral weight cusp forms. 92m:11108 

Erdés, Paul (with Nicolas, Jean-Louis) On functions connected with prime divisors of an 
integer. 92i:11096 

Grimmett, Geoffrey R. Statistics of sieves and square-free numbers. 92d:11102 

Halberstam, H. see Diamond, Harold George; et al., 92f:11122 

Hall, R. R. (with Tenenbaum, Gérald) The set of multiples of a short interval. 92m:11096 

Hildebrand, Adolf On consecutive kth power residues. II. 92d:11097 

Ivié, Aleksandar Some new results on the theory of the Riemann zeta function. (Serbo- 
Croatian) 92j:11090 

Iwaniec, Henryk see Duke, W., 92m:11108 

Kirschenhofer, Peter On the variance of the sum of digits function. 92f:11103 

Lee, Jungseob The second central moment of additive functions. 92g:11083 

Margenstern, Maurice Les nombres pratiques: théorie, observations et conjectures. (English 
summary) [Practical numbers: theory, observations and conjectures] 92a:11006 

McCarthy, Paul J. Generating functions of some products of arithmetical functions. 
92a:11007 

Murata, Leo The distribution of primes satisfying the condition a?-' = 1 (mod p?). 
92i:11107 

Nicolas, Jean-Louis see Erdés, Paul, 92i:11096 

Norton, Karl K. Upper bounds for sums of powers of divisor functions. 92k:11101 

Nowak, Werner Georg Divisors in arithmetic progressions in i ry quadratic number 
fields. 92¢:11101 

— On the Piltz divisor problem with congruence conditions. II. 92i:11101 

Pétermann, Y.-F. S. see Adhikari, Sukumar Das, 92k:11105 

Porubsky, Stefan Rényi’s formula with remainder term on arithmetical semigroups. 
(Russian summary) 92a:11116 

Rausch, Ulrich A summation formula in algebraic number fields and applications. I. 
92b:11082 

— Zum Ellipsoidproblem in algebraischen Zahlkérpern. [On the ellipsoid problem in 
algebraic number fields] 92k:11132 : 

Richert, H.-E. see Diamond, Harold George; et al., 92f:11122 

Sandor, Jézsef On the arithmetical function d,(m). 92d:11004 

Schmidt, Peter Georg Ein Mittelwertsatz bei dreidimensionalen Gitterpunktproblemen. [A 
mean value theorem for three-dimensional lattice point problems] 92c:11104 

Smida, Hikma Sur les puissances de convolution de la fonction de Dickman. [On the 
convolution powers of the Dickman function] 92k:11093 

Sukla, Indulata On Dirichlet convolution method. 92f:11130 

Szydio, Bogdan Uber eine Methode, die Anzahl der Vorzeichenwechsel arithmetischer 
Funktionen von unten abzuschatzen. [On a method for estimating the number of sign 
changes of arithmetic functions from below] 92g:11090 

Tenenbaum, Gérald Sur un probléme d’Erdés et Alladi. [On a problem of Erdés and Alladi] 
92d:11098 

— see also Hall, R. R., 92m:11096 

Timofeev, N. M. The Erdés-Kubilius conjecture on the distribution of the values of additive 
functions on sequences of shifted primes. (Russian) 92i:11105 

Tolev, D. I. On the simultaneous distribution of the fractional parts of different powers of 
prime numbers. 92d:11085 

Tropak, Bogdan Some asymptotic properties of Lucas numbers. 92e:11013 

Varbanets, P. D. On the distribution of natural numbers with divisors from an arithmetic 
progression. 92j:11098 

Zhang, Wen Bin Uniform distribution of values of multiplicative functions. 92k:11102 





11N45 Asymptotic results on counting functions for algebraic and 
topological structures 


Erdés, Paul (with Ivi¢é, Aleksandar) On the iterates of the enumerating function of finite 
abelian groups. 92¢:11098 

Heath-Brown, D. R. The number of abelian groups of order at most x. 92m:11106 

Indlekofer, Karl-Heinz (with Knopfmacher, John; Warlimont, Richard) Arithmetical 
semigroups. I. Direct factors. 92c:11097 

Ivié, Aleksandar see Erdés, Paul, 92e:11098 

Knopfmacher, John see Indlekofer, Karl-Heinz; et al., 92c:11097 

Liu, Hong Quan On the number of abelian groups of a given order. 92i:11103 

Srinivasan, Seshadri On orders solely of abelian groups. III. 92j:11110 


11N Multiplicative number theory 


11N64 


Warlimont, Richard Arithmetical semigroups. II. Sieving by large and small prime elements. 
Sets of multiples. 92¢:11098 
— see also Indlekofer, Karl-Heinz; et al., 92c:11097 


Items with secondary classifications in 11N45 

Kratzel, Ekkehard The distribution of values of a(n). 92e:11097 

Nowak, Werner Georg On the average number of finite abelian groups of a given order. 
(French summary) 92m:11104 

Turull, Alexandre (with Zame, Alan) Number of prime divisors and subgroup chains. 
92a:20052 

Zame, Alan see Turull, Alexandre, 92a:20052 


11N56 Rate of growth of arithmetic functions 


Balog, Antal (with Erdés, Paul; Tenenbaum, Gérald) On arithmetic functions involving 
consecutive divisors. 92b:11069 

Cao, Hui Zhong On a conjecture of multiplicative partitions. (Italian summary) 92m:11107 

Delange, Hubert On the integers n for which Q(n) = k. 92a:11109 

Erdés, Paul see Balog, Antal; et al., 92b:11069 

Maier, Helmut The coefficients of cyclotomic polynomials. 92a:11110 

Montgomery, Hugh L. (with Vaughan, R.C.) On the Erdés-Fuchs theorems. 92f:11128 

Norton, Karl K. Upper bounds for sums of powers of divisor functions. 92k:11101 

Tenenbaum, Gérald see Balog, Antal; et al., 92b:11069 

Timofeev, N. M. An analogue of a theorem of Halasz in the case of generalizing an additive 
problem of divisors. (Russian) 92f:11129 

Truss, J. K. Small sets which meet all the m-term arithmetic progressions in the interval 
[1,7]. 92i:11104 

Vaughan, R.C. see Montgomery, Hugh L., 92f:11128 


Items with secondary classifications in 11N56 

Indlekofer, Karl-Heinz (with Katai, Imre) Multiplicative functions with small increments. 
I. 92e:11007 

Katai, Imre see Indlekofer, Karl-Heinz, 92e:11007 

Li, Xin Zhong Value distribution properties of the number-theoretic functions g,(m) and 
o;(n). (Chinese. English summary) 92f:11126 

Odoni, R. W. K. On the number of integral ideals of given norm and ray-class. 92d:11125 

Pomerance, Carl Two methods in elementary analytic number theory. 92j:11107 

Xuan, Ti Zuo The average order of divisor functions over integers without large prime 
factors. (Chinese) 92f:11127 


11N60 Distribution functions associated with additive and 
positive multiplicative functions 


De Koninck, Jean-Marie (with Katai, Imre; Mercier, Armel) Additive functions monotonic 
on the set of primes. 92a:11111 

Indlekofer, Karl-Heinz Limiting distributions of additive functions in short intervals. 
92d:11106 

Katai, Imre Some problems and results on the local behaviour of arithmetical functions. 
92h:11080 

— see also De Koninck, Jean-Marie; et al., 92a:11111 

Mercier, Armel see De Koninck, Jean-Marie; et al., 92a:11111 

Sandor, Jézsef On a method of Galambos and K4tai concerning the frequency of deficient 
numbers. 92j:11111 

Siaulys, Jonas V. The Erdés-Wintner theorem for additive functions of a rational argument. 
(Russian. English and Lithuanian summaries) 92a:11112 

Timofeev, N. M. The Erdés-Kubilius conjecture on the distribution of the values of additive 
functions on sequences of shifted primes. (Russian) 92i:11105 


Items with secondary classifications in 11N60 

Balazard, Michel (with Smati, Abdelhakim) Elementary proof of a theorem of Bateman. 
92a:11104 

De Koninck, Jean-Marie (with Katai, Imre; Mercier, Armel) Additive functions monotonic 
on the set of primes. II. 92m:11100 

Delange, Hubert On the use of the method of moments for the study of additive functions. 
92i:11087 

Fabrykowski, J. (with Subbarao, M. V.) Extension of a result of Erdés concerning the 
divisor function. 92d:11101 

Katai, Imre see De Koninck, Jean-Marie; et al., 92m:11100 

Mauclaire, Jean-Loup Distribution des valeurs d’une fonction arithmétique additive a 
valeurs dans un groupe abélien localement compact métrisable. (English summary) 
[Distribution of the values of an additive arithmetical function with values in a locally 
compact metrizable abelian group] 92j:11084 

Mercier, Armel see De Koninck, Jean-Marie; et al., 92m:11100 

Smati, Abdelhakim see Balazard, Michel, 92a:11104 

Subbarao, M. V. see Fabrykowski, J., 92d:11101 

Warlimont, Richard On multiplicative functions of absolute value < 1. 92k:11100 


11N64 Other results on the distribution of values or the 
characterization of arithmetic functions 


Amer, Mahmoud Abdel-Hamid see Katai, Imre, 92d:11107 

Erdés, Paul (with Granville, Andrew; Pomerance, Carl; Spiro-Silverman, Claudia A.) On 
the normal behavior of the iterates of some arithmetic functions. 92a:11113 

Granville, Andrew see Erdés, Paul; et al., 92a:11113 

Harman, Glyn Sums of two squares in short intervals. 92e:11099 

Indlekofer, Karl-Heinz (with Katai, Imre) Multiplicative functions with small increments. 
Il. 92i:11106 

Katai, Imre (with Amer, Mahmoud Abdel-Hamid) Multiplicative functions over the 
Gaussian integers. III. 92d:11107 

— see also Indlekofer, Karl-Heinz, 92i:11106 





11N64 


Li, Xin Zhong Properties of the distribution of values of the Hardy-Wright number- 
theoretic functions o,()g;(m). (Chinese. English summary) 92c:11099 

Pomerance, Carl see Erdés, Paul; et al., 92a:11113 

Shorey, T. N. (with Tijdeman, R.) On the greatest prime factor of an arithmetical 
progression. II. 92j:11112 

Shparlinskii, I. E. On the distribution of fractional parts of recurrent sequences. (Russian 
summary) 92a:11114 

Smati, Abdelhakim Une formule asymptotique pour une classe de fonctions multiplicatives. 
[An asymptotic formula for a class of multiplicative functions] 92j:11113 

Spiro-Silverman, Claudia A. see Erdés, Paul; et al., 92a:11113 

Stepanova, L. L. Conditions for the periodicity of generalized characters. (Russian) 
92a:11115 

Sukla, Indalata On Dirichlet convolution method. 92f:11130 

Szemerédi, Endre Integer sets containing no arithmetic progressions. 92c:11100 

Tijdeman, R. see Shorey, T. N., 92j:11112 

Zhang, Wen Bin Uniform distribution of values of multiplicative functions. 92k:11102 

Zhang, Zhen Xiang On a conjecture of Erdés on the sum pen 1/(plogp). 92f:11131 


Items with secondary classifications in 11N64 

Adiga, Chandrashekar see Bhargava, Srinivasamurthy; et al., 92f:11017 

Bhargava, Srinivasamurthy (with Adiga, Chandrashekar; Somashekara, D. D.) An estimate 
of Ramanujan related to the greatest integer function. 92f:11017 

Bourgain, Jean On arithmetic progressions in sums of sets of integers. 92e:11011 

Filaseta, Michael On an irreducibility theorem of I. Schur. 92h:11088 

Greenwell, Raymond N. see Landman, Bruce M., 92j:11007 

Landman, Bruce M. (with Greenwell, Raymond N.) Multiplicative partitions of bipartite 
numbers. 92j:11007 

Mauclaire, Jean-Loup Distribution des valeurs d’une fonction arithmétique additive a 
valeurs dans un groupe abélien localement compact métrisable. (English summary) 
[Distribution of the values of an additive arithmetical function with values in a locally 
compact metrizable abelian group] 92j:11084 

Norton, Kari K. Upper bounds for sums of powers of divisor functions. 92k:11101 

Pétermann, Y.-F.S. Oscillations d’un terme d’erreur lié 4 la fonction totient de Jordan. 
(English summary) [Oscillations of an error term associated with the Jordan totient 
function] 92m:11105 

Somashekara, D. D. see Bhargava, Srinivasamurthy; et al., 92f:11017 

Tenenbaum, Gérald Une inégalité de Hilbert pour les diviseurs. (English summary) [A 
Hilbert inequality for divisors] 92i:11102 

Uliya’Iniya, Mazyar A probabilistic model for the differences between consecutive members 
of series of natural numbers. (Persian) (see 92m:00055) 


11N69 Distribution of integers in special residue classes 


Graham, S. W. (with Ringrose, C. J.) Lower bounds for least quadratic nonresidues. 
92d:11108 

Murata, Leo The distribution of primes satisfying the condition a?! = 1 (mod p?). 
92i:11107 

Nowak, Werner Georg Divisors in arithmetic progressions in imaginary quadratic number 
fields. 92c:11101 

Ringrose, C. J. see Graham, S. W., 92d:11108 


Items with secondary classifications in 11N69 

Nowak, Werner Georg On the Piltz divisor problem with congruence conditions. 92i:11100 
— On the Piltz divisor problem with congruence conditions. II. 92i:11101 

Ruzsa, Imre Z. Arithmetic progressions in sumsets. 92k:11009 


11N75 Applications of automorphic functions and forms to 
multiplicative problems [see also 11F xx] 


Duke, W. (with Iwaniec, Henryk) Sums over primes of the Fourier coefficients of half- 
integral weight cusp forms. 92m:11108 
Iwaniec, Henryk see Duke, W., 92m:11108 


Items with secondary classifications in 11N75 


Balakrishnan, U. (with Sengupta, Jyoti) On the sum }> d(n)o,(n + N). 92f:11124 
Sengupta, Jyoti see Balakrishnan, U., 92f:11124 


11N80 Generalized primes and integers 


Bui Minh Phong see Joé, Istvan, 92d:11109 

Gordon, Daniel M. (with Pomerance, Carl) The distribution of Lucas and elliptic 
pseudoprimes. 92h:11081 

Indlekofer, Karl-Heinz (with Manstavitius, Eugenijus; Warlimont, Richard) On a certain 
class of infinite products with an application to arithmetical semigroups. 92i:11108 

Jo6, Istvan (with Bui Minh Phong) On super Lehmer pseudoprimes. 924:11109 

Kan, Jia Hai On the sequence p +h. 92d:11110 

Manstavitius, Eugenijus see Indlekofer, Karl-Heinz; et al., 92i:11108 

Pomerance, Carl see Gordon, Daniel M., 92h:11081 

Porubsky, Stefan Rényi’s formula with remainder term on arithmetical semigroups. 
(Russian summary) 92a:11116 

Warlimont, Richard see Indlekofer, Karl-Heinz; et al., 92i:11108 

Zhang, Wen Bin The abstract prime number theorem for algebraic function fields. 
92d:11111 


Items with secondary classifications in 11N80 


Balasubramanian, Ramachandran (with Murty, Maruti Ram) Elliptic pseudoprimes. II. 
92:11076 

Halter-Koch, Franz (with Miiller, Wolfgang”) Quantitative aspects of nonunique factoriza- 
tion: a general theory with applications to algebraic function fields. 92g:11104 

Kan, Jia Hai A theorem in multiplicative number theory. 92¢:11093 


NUMBER THEORY 


Miller, Wolfgang” see Halter-Koch, Franz, 92g:11104 
Murty, Maruti Ram see Balasubramanian, Ramachandran, 92f:11076 


11N99 None of the above, but in this section 


Kunth, P. (with Maxsein, Thomas) The essential supremum for arithmetical almost-even 
functions. 92i:11109 

Maxsein, Thomas see Kunth, P., 92i:11109 

Sandor, Jézsef Corrections to: “Some arithmetic inequalities” [Bull. Number Theory 
Related Topics 11 (1987), no. 1-3, 149-161; MR 90e:11142]. 


Items with secondary classifications in 11N99 

Calderén, Catalina (with Zarate Azcuna, Maria José) A variant of Selberg’s asymptotic 
formula. 92g:11088 

Marcu, Danut The powers of two and three. 92h:11026 

Shorey, T. N. (with Tijdeman, R.) On the greatest prime factor of an arithmetical 
progression. 92h:11011 

Tijdeman, R. see Shorey, T. N., 92h:11011 

Zarate Azcuna, Maria José see Calderén, Catalina, 92g:11088 


11Pxx Additive number theory; partitions 


11P05 Waring’s problem and variants 


Atkinson, O. D. (with Briidern, Jorg; Cook, Roger J.) Three additive cubic equations. 
92j:11114 

Baker, R. C. (with Briidern, Jorg) Sums of cubes of square-free numbers. 92a:11117 

— (with Briidern, Jorg) Sums of cubes of square-free numbers. II. 92m:11109 

Briidern, Jérg Ternary additive problems of Waring’s type. 92g:11096 

— see also Baker, R. C., 92a:11117; Atkinson, O. D.; et al., 92j:11114 and Baker, R. C., 
92m:11109 

Car, Mireille Le probleme de Waring pour les corps de fonctions. [Waring’s problem for 
function fields} 92m:11110 

Choudhry, Ajai On sums of eighth powers. 92h:11082 

Cook, Roger J. see Atkinson, O. D.; et al., 92j:11114 

Effinger, Gove W. (with Hayes, David R.) * Additive number theory of polynomials over a 
finite field. 92k:11103 

Habsieger, Laurent Représentations des groupes et identités polynomiales. [Group 
representations and polynomial identities] 92g:11097 

Hayes, David R. see Effinger, Gove W., 92k:11103 

Lu, Ming Gao Ona problem of sums of mixed powers. 92f:11132 

— A new application of Davenport’s method. 92g:11098 

Mimura, Yoshio Partial sums of sequences. 92j:11115 

Paul, E. M. A probabilistic approach to additive number theory. 92m:11111 

Subbarao, M. V. (with Wang, Yuan') Ona generalized Waring’s problem in algebraic 
number fields. 92k:11104 

Vaughan, R.C. (with Wooley, Trevor D.) On Waring’s problem: some refinements. 
92f:11133 

Wang, Yuan! see Subbarao, M. V., 92k:11104 

Wang, Zhi Xiong Waring’s problem for matrices of integers. (Chinese) 92¢:11100 

Wooley, Trevor D. see Vaughan, R. C., 92f:11133 


Items with secondary classifications in 11P05 


Agrawal, M. K. see Parnami, J. C.; et al., 92k:11039 

Cherly, Jorgen Sommes d’exponentielles cubiques dans l’anneau des polynémes en 
une variable sur le corps 4 2 éléments, et application au probleme de Waring. [Cubic 
exponential sums in the ring of polynomials in one variable over the 2-element field, and 
application to Waring’s problem] 92m:11139 

Deshouillers, Jean-Marc Waring’s problem and the circle-method. 92¢:11108 

Huxley, M. N. (with Kolesnik, Grigori) Exponential sums and the Riemann zeta function. 
Ill. 924:11089 

Kolesnik, Grigori see Huxley, M. N., 92d:11089 

Parnami, J.C. (with Agrawal, M. K.; Rajwade, A. R.) On the representation of —1 as a sum 
of fourth and sixth powers. 92k:11039 

Rajwade, A. R. see Parnami, J. C.; et al., 92k:11039 

Wang, Yuan! * Diophantine equations and inequalities in algebraic number fields. 
92a:11036 

Zenkin, A. A. Waring’s problem from the standpoint of the cognitive interactive computer 
graphics. 92e:11152a 

— Some picturesque generalizations of Nechaev-Waring’s problem obtained by means of 
cognitive interactive computer graphics. 92e:11152b 


11P21 Lattice points in specified regions 


Adhikari, Sukumar Das (with Pétermann, Y.-F. S.) Lattice points in ellipsoids. 92k:11105 

Calderén, Catalina Concerning Voronoi’s formula and Hecke’s functional equation. 
(Spanish) 92e:11101 

Cilleruelo, Javier Arcs containing no three lattice points. 92i:11110 

— (with Cérdoba, A.) Trigonometric polynomials and lattice points. 92j:11116 

Cérdoba, A. see Cilleruelo, Javier, 92j:11116 

Delmer, F. (with Deshouillers, Jean-Marc) Simplexes a coordonnées entiéres. (English 
summary) [Simplices with integral coordinates] 92c:11102 

Deshouillers, Jean-Marc see Delmer, F., 92c:11102 

Dyer, Martin On counting lattice points in polyhedra. 92i:11111 

Fomenko, O. M. see Golubeva, E. P., 92d:11112 

Fortier, Paul On the number of points on shells for shifted Z‘” lattices. 92e:11102 

Golubeva, E. P. (with Fomenko, O. M.) A remark on the asymptotic distribution of lattice 
points on a large three-dimensional sphere. (Russian) 92d:11112 

Granville, Andrew The lattice points of an n-dimensional tetrahedron. 92b:11070 





199 1992 


Guérin, Frédéric On a problem connected with a theorem of Jarnik. 92f:11134 

Kriatzel, Ekkehard Lattice points in elliptic paraboloids. 92e:11103 

— (with Nowak, Werner Georg) Lattice points in large convex bodies. 92i:11112 

Kuba, Gerald A mean value th on diffe of two kth powers of numbers in residue 
classes. 92g:11099 

Miller, Wolfgang? (with Nowak, Werner Georg) Lattice points in planar domains: 
applications of Huxley’s “discrete Hardy-Littlewood method”. 92d:11113 

Nowak, Werner Georg On the lattice rest of a convex body in R°. III. 92c:11103 

— see also Miller, Wolfgang”, 92d:11113 and Kratzel, Ekkehard, 92i:11112 

Panferov, V.S. Properties of lattice points on strongly convex hypersurfaces. (Russian) 
92e:11104 

Pétermann, Y.-F.S. see Adhikari, Sukumar Das, 92k:11105 

Recknagel, W. Varianten des GauBschen Kreisproblems. [Variants of Gauss’s circle 
problem] 92b:11071 

Schmidt, Peter Georg Ein Mittelwertsatz bei dreidimensionalen Gitterpunktproblemen. [A 
mean value theorem for three-dimensional lattice point problems] 92c:11104 

Schuster, Reinhard On a lattice problem for geodesic double differential forms in the n- 
dimensional hyperbolic space. (German and Russian summaries) 92g:11100 





Items with secondary classifications in 11P21 

Conway, John Horton (with Sloane, Neil J. A.) Lattices with few distances. 92i:11070 
Huxley, M. N. Exponential sums after Bombieri and Iwaniec. 92m:11083 

Ozliik, Ali E. (with Snyder, Chip) An identity involving Nérlund polynomials. 92c:11046 
Sloane, Neil J. A. see Conway, John Horton, 92i:11070 

Snyder, Chip see Ozliik, Ali E., 92c:11046 


11P32 Goldbach-type theorems; other additive questions 
involving primes 


Balog, Antal The prime k-tuplets conjecture on average. 92e:11105 

Chen, Jing Run (with Wang, Tian Ze) A study on the Goldbach problem in the case of odd 
numbers. (Chinese) 

— (with Wang, Jian Ze) A note on the Goldbach problem. (Chinese) 92g:11101 

Fujii, Akio An additive problem of prime numbers. 92k:11106 

Kan, Jia Hai On the representation of even numbers as the sum of a prime number and an 
almost prime number. (Chinese) 92m:11112 

Liu, Ming Chit (with Tsang, Kai Man) Small prime solutions of some additive equations. 
92e:11106 

Tsang, Kai Man see Liv, Ming Chit, 92e:11106 

Wang, Jian Ze see Chen, Jing Run; et al., 92g:11101 

Wang, Tian Ze see Chen, Jing Run; et al. 

Wolke, Dieter Uber Goldbach-Zerlegungen mit nahezu gleichen Summanden. (English 
summary) [On Goldbach decompositions with almost equal summands] 92k:11107 

Wa, Jie! A lower bound estimate for the number of solutions of N — p = P3. (Chinese. 
English summary) 92¢:11107 

Zhan, Tao On the representation of large odd integer as a sum of three almost equal primes. 
92m:11113 


Items with secondary classifications in 11P32 

Effinger, Gove W. (with Hayes, David R.) * Additive number theory of polynomials over a 
finite field. 92k:11103 

Friedlander, J. B. Shifted primes without large prime factors. 92m:11094 

Hayes, David R. see Effinger, Gove W., 92k:11103 

Jia, Chao Hua Three primes theorem in a short interval. V. 92j:11103 

— Three primes theorem in a short interval. IV. 92j:11102 

Kan, Jia Hai On the sequence p + h. 92d:11110 

Schrijver, Alexander (with Seymour, P.D.) Spanning trees of different weights. 92d:05048 

Seymour, P. D. see Schrijver, Alexander, 92d:05048 


11P55 Applications of the Hardy-Littlewood method 
[see also 11D85] 


Deshouillers, Jean-Marc Waring’s problem and the circle-method. 92e:11108 

— L’étude des formes cubiques rationnelles via la méthode du cercle (d’aprés D. R. Heath- 
Brown, C. Hooley et R. C. Vaughan). [Study of rational cubic forms via the circle method 
(after D. R. Heath-Brown, C. Hooley and R. C. Vaughan)] 92c:11105 


Items with secondary classifications in 11P55 

Atkinson, O. D. (with Briidern, Jorg; Cook, Roger J.) Three additive cubic equations. 
92j:11114 

Balog, Antal The prime k-tuplets conjecture on average. 92¢:11105 

Briidern, Jérg see Atkinson, O. D.; et al., 92j:11114 

Car, Mireille Le probleme de Waring pour les corps de fonctions. [Waring’s problem for 
function fields} 92m:11110 

Cherly, Jorgen Sommes d’exponentielles cubiques dans l’anneau des polynémes en 
une variable sur le corps a 2 éléments, et application au probléme de Waring. [Cubic 
exponential sums in the ring of polynomials in one variable over the 2-element field, and 
application to Waring’s problem] 92m:11139 

Cook, Roger J. see Atkinson, O. D.; et al., 92j:11114 

Effinger, Gove W. (with Hayes, David R.) * Additive number theory of polynomials over a 
finite field. 92k:11103 

Hayes, David R. see Effinger, Gove W., 92k:11103 

Hooley, Christopher On nonary cubic forms. II. 92b:11017 

Huxley, M. N. Modular functions and trigonometric sums. 92a:11093 

Ismoilov, D. 1. Representation of a number as the sum of three products. (Russian. Tajiki 
summary) 92a:11038 

Kuba, Gerald A mean value theorem on differences of two kth powers of numbers in residue 
classes. 92g:11099 

Lu, Ming Gao Ona problem of sums of mixed powers. 92f:11132 


11P Additive number theory; partitions 


— Anew application of Davenport’s method. 92g:11098 

Mikawa, Hiroshi On prime twins. 92h:11074 

Miiller, Wolfgang? (with Nowak, Werner Georg) Lattice points in planar domains: 
applications of Huxley’s “discrete Hardy-Littlewood method”. 92d:11113 

Nowak, Werner Georg see Miller, Wolfgang”, 92d:11113 

Rausch, Ulrich Zum Ellipsoidproblem in algebraischen Zahlkérpern. [On the ellipsoid 
problem in algebraic number fields] 92k:11132 

Szemerédi, Endre Integer sets containing no arithmetic progressions. 92c:11100 

Vaughan, R.C. (with Wooley, Trevor D.) On Waring’s problem: some refinements. 
92£:11133 

Wang, Yuan! * Diophantine equations and inequalities in algebraic number fields. 
92a:11036 

Wolke, Dieter Uber Goldbach-Zerlegungen mit nahezu gleichen Summanden. (English 
summary) [On Goldbach decompositions with almost equal summands] 92k:11107 

Wooley, Trevor D. On simultaneous additive equations. II. 92e:11025b 

— see also Vaughan, R. C., 92f:11133 


11P81 Elementary theory of partitions [see also 05A17] 


Bessenrodt, Christine A combinatorial proof of a refinement of the Andrews-Olsson 
partition identity. 92f:11135 

Fabrykowski, J. (with Subbarao, M. V.) Some new identities involving the partition 
function p(n). 92d:11114 

Jones, Patricia g-partitions. 92j:11117 

Subbarao, M. V. see Fabrykowski, J., 92d:11114 

Tamba, Manvendra On a Ramanujan’s identity. 92k:11108 


Items with secondary classifications in 11P81 

Agarwal, Ashok Kumar! Combinatorial interpretations of the g-analogues of L2,.4;. 
92i:11016 

Bressoud, David M. On a cyclotomic unit and related products. 92k:11121 

Chu, Wen Chang A dominance approach for plane partitions. 92g:05015 

— Dominance method for plane partitions. I. The Schur function and plane partitions. 
92g:05016 

Désarménien, Jacques Une généralisation des formules de Gordon et de MacMahon. (En- 
glish summary) [A generalization of the Gordon and MacMahon formulas] 924:05174 

Ekhad, Shalosh B. A one-line proof of the Habsieger-Zeilberger G2 constant term identity. 
92£:05097 

Grimaldi, Ralph P. (with Meadows, Douglas S.) Compositions of integers. 92j:05008 

Jeger, M. Uber Dreiecks-Partitionen. II. [On triangle partitions. II] 92a:05014 

Kimberling, Clark Zeckendorf number systems and associated partitions. 92k:11014 

Liu, Bo Lian On enumeration of perfect partitions. (Chinese) 92a:05016 

Meadows, Douglas S. see Grimaldi, Ralph P., 92j:05008 

Mimachi, Katsuhisa see Noumi, Masatoshi, 92g:33030 

Noumi, Masatoshi (with Mimachi, Katsuhisa) Rogers’s qg-ultraspherical polynomials on a 
quantum 2-sphere. 92g:33030 

Robbins, David P. The story of 1,2, 7,42, 429, 7436, ---. 92d:05010 

Xu, Li Zhi A partition identity with certain applications. 92i:05021 

Zhang, Liang Cheng q-difference equations and Ramanujan-Selberg continued fractions. 
92j:11008 


11P82 Analytic theory of partitions 


Almkvist, Gert (with Andrews, George E.) A Hardy-Ramanujan formula for restricted 
partitions. 92c:11106 

— Exact asymptotic formulas for the coefficients of nonmodular functions. 92c:11107 

Andrews, George E. A formula of Ramanujan from the lost notebook. 92d:11115 

— q-trinomial coefficients and Rogers-Ramanujan type identities. 92e:11109 

— A page from Ramanujan’s lost notebook. 92b:11072 

— see also Almkvist, Gert, 92c:11106 

Boyd, David W. (with Montgomery, Hugh L.) Cyclotomic partitions. 92b:11073 

Dixmier, Jacques Sur les sous-sommes d’une partition. III. (English summary) [On the 
subsums of a partition. III] 92h:11084a 

— Errata: “On the subsums of a partition. III”. (French) 92h:11084b 

— Sur les sous-sommes d’une partition. II. [On the subsums of a partition. II] 92h:11083 

— (with Nicolas, Jean-Louis) Partitions sans petits sommants. [Partitions with no small 
summands] 92f:11136 

Erdés, Paul (with Nicolas, Jean-Louis; Sarkézy, A.) On the number of partitions of n 
without a given subsum. II. 92c:11108 

Herzog, Joachim On partitions into distinct parts > y. 92c:11109 

Keller, Joseph B. see Knessl, Charles, 92k:11109 

Knessl, Charles (with Keller, Joseph B.) Asymptotic behavior of high-order differences of 
the partition function. 92k:11109 

Mallikarjuna Prasad, A. V. (with Padmavathamma) The Hardy-R 
expansion for C@m,m'(m) using Ford circles. 92k:11110 

Montgomery, Hugh L. see Boyd, David W., 92b:11073 

Nicolas, Jean-Louis see Erdés, Paul; et al., 92c:11108 and Dixmier, Jacques, 92f:11136 

Padmavathamma see Mallikarjuna Prasad, A. V., 92k:11110 

(Ramanujan, Srinivasa) see Andrews, George E., 92b:11072 

Sarkézy, A. see Erdés, Paul; et al., 92c:11108 


Rademacher 





Items with secondary classifications in 11P82 

Kolitsch, Louis Worthy M-order generalized Frobenius partitions with M colors. 92i:11113 

Mukhi, Sunil Feigin-Fuchs integrals and Rogers-Ramanujam identities in rational 
conformal field theory. (see 92m:81271) 

Niederhausen, Heinrich Colorful partitions, permutations, and trigonometric functions. 
92j:05010 

Remmel, Jeffrey B. A bijective proof of a factorization theorem for (k, /)-hook Schur 
functions. 92a:05131 








11P83 


11P83 Partitions; congruences and congruential restrictions 


Agarwal, Ashok Kumar! q-functional equations and some partition identities. 92k:11111 

— (with Subbarao, M. V.) Some properties of perfect partitions. 92h:11085 

Chetiya, B. P. (with Dutta, Malay Ananda; Kalita, A.) Use of group-theoretic methods in 
the study of partition functions. 92e:11110 

Dutta, Malay Ananda see Chetiya, B. P.; et al., 92e:11110 

Greene, John On a conjecture of Krammer. 92c:11110 

Kalita, A. see Chetiya, B. P.; et al., 92e:11110 

Kolitsch, Louis Worthy M-order generalized Frobenius partitions with M colors. 92i:11113 

Lewis, Richard P. On the ranks of partitions modulo 9. 92k:11112 

— On some relations between the rank and the crank. 92k:11113 

Subbarao, M. V. see Agarwal, Ashok Kumar', 92h:11085 

Vaughan, R.C. (with Wooley, Trevor D.) Ona problem related to one of Littlewood and 
Offord. 92m:11114 

Wooley, Trevor D. see Vaughan, R. C., 92m:11114 


Items with secondary classifications in 11P83 

Jones, Patricia g-partitions. 92j:11117 

Kimberling, Clark Zeckendorf number systems and associated partitions. 92k:11014 

Kolitsch, Louis Worthy A congruence for generalized Frobenius partitions with 3 colors 
modulo powers of 3. 92a:05015 

Padmavathamma (with Sudha, T.G.) Parity of cg2(m). 92k:05010 

Sudha, T.G. see Padmavathamma, 92k:05010 


11P99 None of the above, but in this section 


Chang, Tian-Hock On the sum of the powers of the natural numbers. (Malayan summary) 
92d:11116 


11Rxx Algebraic number theory: global fields {For 
complex multiplication, see 11G15.} 


(Chirskii, V.G.) see Number theory, 92a:11118a and Koch, Helmut V., 92a:11118b 

Feng, Ke Qin (with Lu, Hong Wen) Some developments on algebraic number theory in 
China. 92m:11115 

Koch, Helmut V. Algebraic number theory. (Russian) 92a:11118b 

La, Hong Wen see Feng, Ke Qin; et al., 92m:11115 

Pohst, Michael E. (with Zassenhaus, Hans) * Algorithmic algebraic number theory. 
92b:11074 

Zassenhaus, Hans see Pohst, Michael E., 92b:11074 


Items listed otherwise than by author 


Itogi Nauki i Tekhniki * Teopua uncen. 2. (Russian) [Number theory. 2] 92a:11118a 
Number theory * Teopua uucen. 2. (Russian) [Number theory. 2] 92a:11118a 


Items with secondary classifications in 11Rxx 
Algebraic number theory * Daisiiteki seis ron. (Japanese) [Algebraic number theory] 
92i:11002 
Symposium: 
Algebraic Number Theory * DaisOteki seis0 ron. (Japanese) [Algebraic number theory] 
92i:11002 


11R04 Algebraic numbers; rings of algebraic integers 


Beigel, Richard Irrationality without number theory. 92c:11111 

Kovacs, B. (with Pethé, Attila) Number systems in integral domains, especially in orders of 
algebraic number fields. 92m:11116 

Langevin, M. Systémes complets de conjugués sur un corps quadratique imaginaire et 
ensembles de largeur constante. (English summary) [Complete systems of conjugates over 
an imaginary quadratic field and sets of constant width] 92f:11137 

Odoni, R. W. K. Weil numbers and CM fields. II. 92h:11086 

Pethé, Attila see Kovacs, B., 92m:11116 

Zanardo, P. (with Zannier, Umberto) The group of Pythagorean triples in number fields. 
(Italian summary) 92k:11114 

Zannier, Umberto see Zanardo, P., 92k:11114 

Zheludevich, F. F. Local estimates in the Lehmer problem. (Russian) 92h:11087 


Items with secondary classifications in 11R04 


Cassou-Nogues, Philippe (with Taylor, Martin J.) Un élément de Stickelberger quadratique. 


(English summary) [A quadratic Stickelberger element] 92e:11125 

Deshommes, Bernadette Puissances binomiales dans un corps cubique. [Binomial powers in 
acubic field] 92h:11012 

Gaal, Istvan (with Pethé, Attila; Pohst, Michael E.) On the indices of biquadratic number 
fields having Galois group V4. 92h:11092 

Matveev, E.M. On the cardinality of algebraic integers. (Russian) 92g:11070 

Pethé, Attila see Gaal, Istvan; et al., 92h:11092 i 

Pohst, Michael E. Three principal tasks of computational algebraic number theory. 
92£:11182 

— see also Gaal, Istvan; et al., 92h:11092 

Sands, Jonathan W. Generalization of a theorem of Siegel. 92c:11134 

Shapiro, Harold N. (with Shlapentokh, Alexandra) Diophantine relationships between 
algebraic number fields. 92b:11018 

— (with Sparer, Gerson H.) Minimal bases for cubic fields. 92f:11147 

Shlapentokh, Alexandra see Shapiro, Harold N., 92b:11018 

Sparer, Gerson H. see Shapiro, Harold N., 92f:11147 

Subbarao, M. V. (with Wang, Yuan') On a generalized Waring’s problem in algebraic 
number fields. 92k:11104 

Taylor, Martin J. see Cassou-Nogues, Philippe, 92e:11125 

Wang, Yuan' see Subbarao, M. V., 92k:11104 


NUMBER THEORY 


Wei, Dong Zhou Reducibility of x” + a over Q. (Chinese) 92j:12004 


11R06 PV-numbers and generalizations; other special algebraic 
numbers 


Bazylewicz, A. Corrigendum to the paper: “An extension of a result of C. J. Smyth to 
polynomials in several variables” [Acta Arith. 50 (1988), no. 2, 211-214; MR 90c:1 1078}. 

Boyd, David W. (with Parry, Walter) Limit points of the Salem numbers. 92i:11114 

Kerada, Mohamed Polynémes réciproques de petite mesure. (English summary) [Reciprocal 
polynomials having small measure] 92k:11115 

Lind, Douglas Matrices of Perron numbers. 92m:11117 

Parry, Walter see Boyd, David W., 92i:11114 


Items with secondary classifications in 11R06 

Bertin, M.-J. Généralisation des suites de Pisot et de Boyd. [Generalization of Pisot and 
Boyd sequences] 92i:11082 

Bogmér, A. (with Horvath, Miklés; Sévegjart6, A.) On some problems of I. Jo6. 92m:11008 

Dilcher, Karl Zeros of certain cyclotomy-generated polynomials. 92g:12002 

Horvath, Miklés see Bogmér, A.; et al., 92m:11008 

Odoni, R. W. K. Weil numbers and CM fields. II. 92h:11086 

Sdvegjarté, A. see Bogmér, A.; et al., 92m:11008 

Sury, B. Arithmetic groups and Salem numbers. 92m:11042 


11R09 Polynomials (irreducibility, etc.) 


Brillhart, John Note on the discriminant of certain cyclotomic period polynomials. 
92k:11116 

Dobrowolski, Edward Mahler’s measure of a polynomial in function of the number of its 
coefficients. 92f:11138 

Drmota, Michael (with Skalba, Mariusz) On multiplicative and linear independence of 
polynomial roots. 92m:11118 

Filaseta, Michael On an irreducibility theorem of I. Schur. 92h:11088 

Schinzel, Andrzej Reducibility of lacunary polynomials. XI. 92f:11139 

Skalba, Mariusz see Drmota, Michael, 92m:11118 


Items with secondary classifications in 11R09 

Choudhry, Ajai (with Schinzel, Andrzej) On the number of terms in the irreducible factors 
of a polynomial over Q. 92m:11022 

Komatsu, Kenzé On the Galois group of x? + ax +a=0. 92e:11127 

Landau, Susan Erratum: “Factoring polynomials over algebraic number fields” [SIAM J. 
Comput. 14 (1985), no. 1, 184-195; MR 86d:11102]. 92f:11181 

Sasaki, Ryuji Criteria for the class number of real quadratic fields to be one. 92f:11145 

Schinzel, Andrzej A class of polynomials. 92m:11024 

— see also Choudhry, Ajai, 92m:11022 


11R11 Quadratic extensions 


Buchmann, Johannes A. (with Williams, Hugh Cowie) On the existence of a short proof for 
the value of the class number and regulator of a real quadratic field. 92h:11089 

Czogaia, Alfred On reciprocity equivalence of quadratic number fields. 92h:11090 

Dubois, Eugene (with Levesque, Claude) On determining certain real quadratic fields 
with class number one and relating this property to continued fractions and primality 
properties. 92k:11117 

Groger, Detlef Kopplungen auf einem quadratischen Zahlkérper und eine Basis seiner 
Normengruppe. (English summary) [Couplings on a quadratic number field and a basis 
of its norm group] 92¢:11112 

Hudson, Richard H. see Williams, Kenneth S., 92d:11118 

Katayama, Shigeru On certain real quadratic fields with class number 2. 92g:11102 

— see also Katayama, Shin-ichi, 92e:11111 and 92f:11140 

Katayama, Shin-ichi (with Katayama, Shigeru) On certain real quadratic fields with class 
numbers 3 and 5. 92f:11140 

— (with Katayama, Shigeru) A note on the problem of Yokoi. 92e:11111 

Knopfmacher, Arnold (with Knopfmacher, John) The number of steps in the Euclidean 
algorithm over complex quadratic fields. 92f:11141 

Knopfmacher, John see Knopfmacher, Arnold, 92f:11141 

Leu, Ming Guang Erratum: “On a determination of certain real quadratic fields of class 
number two” [J. Number Theory 33 (1989), no. 1, 101-106; MR 90j:11110). 

Levesque, Claude see Dubois, Eugene, 92k:11117 

Mayer, Daniel C. Principalization in complex S3-fields. 92f:11142 

Mollin, Richard A. (with Williams, Hugh Cowie) Class number one for real quadratic 
fields, continued fractions and reduced ideals. 92f:11143 

— (with Williams, Hugh Cowie) Solution of the class number one problem for real quadratic 
fields of extended Richaud-Degert type (with one possible exception). 92f:11144 

— On the divisor function and class numbers of real quadratic fields. II. 92d:11117 

— (with Williams, Hugh Cowie) Powers of 2, continued fractions, and the class number one 
problem for real quadratic fields Q(Vd), with d = 1 (mod 8). 92m:11119 

— (with Williams, Hugh Cowie) On a determination of real quadratic fields of class number 
one and related continued fraction period length less than 25. 92c:11113 

— (with Williams, Hugh Cowie) Corrigenda for: “Solution of a problem of Yokoi” [Proc. 
Japan Acad. Ser. A Math. Sci. 66 (1990), no. 6, 141-145; MR 91k:11094]. 

— An efficient method for the determination of certain real quadratic fields of class number 
one. 92k:11118 

Sasaki, Ryuji Criteria for the class number of real quadratic fields to be one. 92f:11145 

Taya, Hisao (with Terai, Nobuhiro) Determination of certain real quadratic fields with 
class number two. 92h:11091 

Terai, Nobuhiro see Taya, Hisao, 92h:11091 

Williams, Hugh Cowie see Mollin, Richard A., 92c:11113; 92f:11143; 92f:11144; Buchmann, 
Johannes A., 92h:11089and Mollin, Richard A., 92m:11119 

Williams, Kenneth S. (with Hudson, Richard H.) Representation of primes by the principal 
form of discriminant —D when the classnumber h(—D) is 3. 92d:11118 





201 1992 


Yokoi, Hideo New invariants of real quadratic fields. 92e:11112 
— The fundamental unit and bounds for class numbers of real quadratic fields. 92m:11120 
Zaupper, T. Unique factorization in quadratic number fields. 92f:11146 


Items with secondary classifications in 11R11 

Buchmann, Johannes A. (with Williams, Hugh Cowie) Some remarks concerning the 
complexity of computing class groups of quadratic fields. 92g:11105 

Czogaia, Alfred Witt equivalence of quadratic extensions of global fields. 92j:11034 

Dummit, David S. The parity distribution of traces in imaginary quadratic fields. 92¢:11133 

(Gauss, Carl Friedrich) see Ribenboim, Paulo, 92h:11002 

Gordon, Jonathan see Zhang, Liang Cheng, 92a:11029 

Halter-Koch, Franz On a class of insoluble binary quadratic Diophantine equations. 
92k:11032 

Hayes, David R. The partial zeta functions of a real quadratic number field evaluated at 
s=0. 92j:11134 

— Brumer elements over a real quadratic base field. 92a:11142 

Ite, Hiroshi Dedekind sums and quadratic residue symbols of imaginary quadratic fields. 
92j:11043 

Kaplan, Pierre (with Williams, Kenneth S.) The distance between ideals in the orders of a 
real quadratic field. 92e:11028 

Kida, Yaji Cyclotomic Z,-extensions of Q(/—1) and Q(/—3). 92¢:11117 

Kohnen, Winfried Modular forms and real quadratic fields. 92h:11039 

Louboutin, Stéphane Les extensions quadratiques du corps des rationnels, ou du corps de 
Gauss, ou du corps des racines cubiques de l’unité de calibres 1. [Quadratic extensions 
of the field of rationals, the Gaussian field or the field of cube roots of unity of caliber 1] 
92b:11075a 

— Extensions du théoréme de Frobenius-Rabinovitsch. (English summary) [Extensions of 
the Frobenius-Rabinovich theorem] 92a:11130 

— Addendum: “Quadratic extensions of the field of rationals, the Gaussian field or the field 
of cube roots of unity of caliber 1”. 92b:11075b 

La, Hong Wen Hirzebruch sum and class number of the quadratic fields. 92k:11129 

— Hirzebruch sums and Hecke operators. 92f:11153 

Mollin, Richard A. Corrigenda: “Class numbers bounded below by the divisor function” [C. 
R. Math. Rep. Acad. Sci. Canada 12 (1990), no. 4, 119-124; MR 91g:11127]. 

— (with Williams, Hugh Cowie) Affirmative solution of a conjecture related to a sequence of 
Shanks. 92¢:11122 ‘ 

M’Zari, Mohammed Algorithme pour calculer les points de Heegner de Yo(N). (English 
summary) [An algorithm for computing the Heegner points of Yo(N)] 92h:11055 

Naito, Hirotada Indivisibility of class numbers of totally imaginary quadratic extensions 
and their Iwasawa invariants. 92a:11131 

van der Poorten, Alfred J. Fractions of the period of the continued fraction expansion of 
quadratic integers. 92g:11007 

Ribenboim, Paulo Gauss and the class number problem. 92h:11002 

Schneiders, U. (with Zimmer, Horst Giinter) The rank of elliptic curves upon quadratic 
extension. 92m:11053 

Shanks, Daniel On Gauss and composition. I, II. 92e:11150 

Shastri, Parvati 2-torsion of ideal class groups of Dedekind domains. 92m:11126 

Urbanowicz, Jerzy Connections between B2 , for even quadratic Dirichlet characters x and 
class numbers of appropriate imaginary quadratic fields. I, II. 92a:11134a 

— Errata: “Connections between B2, for even quadratic Dirichlet characters x and class 
numbers of appropriate imaginary quadratic fields, I, II”. 92a:11134b 

Williams, Hugh Cowie Some formulas concerning the fundamental unit of a real quadratic 
field. 92j:11126 

— see also Mollin, Richard A., 92c:11122 and Buchmann, Johannes A., 92g:11105 

Williams, Kenneth S. see Kaplan, Pierre, 92e:11028 

Zhang, Liang Cheng (with Gordon, Jonathan) On unit solutions of the equation xyz = 
x +y+z ina number field with unit group of rank 1. 92a:11029 

Zimmer, Horst Ginter see Schneiders, U., 92m:11053 


11R16 Cubic and quartic extensions 


Barrucand, Pierre see Kientega, Gérard, 92e:11113 

Bremner, Andrew The equation xyz = x + y + z = 1 in integers of a quartic field. 
92¢:11114 

Cusick, T. W. The regulator spectrum for totally real cubic fields. 92k:11119 

Gaal, Istvan (with Pethé, Attila; Pohst, Michael E.) On the indices of biquadratic number 
fields having Galois group Vs. 92h:11092 

Gordon, Jonathan see Zhang, Liang Cheng, 92d:11120 

Gérard (with Barrucand, Pierre) On quartic fields with the symmetric group. 

92e:11113 

Kim, Hyun Kwang (with Kim, Yong Moo) A classification of certain biquadratic fields of 
class number 1. 92e:11114 

Kim, Yong Moo see Kim, Hyun Kwang, 92e:11114 

Lazarus, Andrew J. Class numbers of simplest quartic fields. 92d:11119 

— Gaussian periods and units in certain cyclic fields. 92j:11118 

Levesque, Claude (with Rhin, G.) Two families of periodic Jacobi algorithms with period 
lengths going to infinity. 92a:11119 

Louboutin, Stéphane Les extensions quadratiques du corps des rationnels, ou du corps de 
Gauss, ou du corps des racines cubiques de l’unité de calibres 1. [Quadratic extensions 
of the field of rationals, the Gaussian field or the field of cube roots of unity of caliber 1] 
92b:11075a 

— Addendum: “Quadratic extensions of the field of rationals, the Gaussian field or the field 
of cube roots of unity of caliber 1”. 92b:11075b 

Pethé, Attila see Gaal, Istvan; et al., 92h:11092 

Pohst, Michael E. see Gaal, Istvan; et al., 92h:11092 

Rhin, G. see Levesque, Claude, 92a:11119 

Shapiro, Harold N. (with Sparer, Gerson H.) Minimal bases for cubic fields. 92f:11147 

Sparer, Gerson H. see Shapiro, Harold N., 92f:11147 

Tang, Jian Er Quartic normal extensions of the rational field. 92f:11148 


11R Algebraic number theory: global fields 


11R18 


Vaughan, Theresa P. The normal closure of a quadratic extension of a cyclic quartic field. 
92k:11120 


Washington, Lawrence C. A family of cyclic quartic fields arising from modular curves. 
92a:11120 

Zhang, Liang Cheng (with Gordon, Jonathan) On unit solutions of the equation xyz = 
x + y+ z in not totally real cubic fields. 92d:11120 


Items with secondary classifications in 11R16 

Agrawal, M. K. see Parnami, J. C.; et al., 92c:11039 

Arai, Masao! On the reduction of binary cubic forms with positive discriminants. I. 
92a:11076a 

— On the reduction of binary cubic forms with positive discriminants. II. 92a:11076b 

Gaal, Istvan (with Pethé, Attila; Pohst, Michael E.) On the resolution of index form 
equations in biquadratic number fields. I, I]. 92g:11031 

Gordon, Jonathan see Zhang, Liang Cheng, 92a:11029 

Halbritter, U. (with Pohst, Michael E.) On the computation of the values of zeta functions 
of totally real cubic fields. 92b:11080 

Jakubec, Stanislav (with Marko, Frantisek) Witt equivalence classes of quartic number 
fields. 92e:11031 

Lazarus, Andrew J. On the class number and unit index of simplest quartic fields. 
92a:11129 

Louboutin, Stéphane L-functions and class numbers of imaginary quadratic fields and of 
quadratic extensions of an imaginary quadratic field. 92k:11128 

Marko, Frantisek see Jakubec, Stanislav, 92e:11031 

Mayer, Daniel C. Principalization in complex S3-fields. 92f:11142 

— Multiplicities of dihedral discriminants. 92f:11154 

Meyer, Curt Class number formulas for imaginary pure quartic number fields. 92f:11155 

Olivier, Michel Corps sextiques contenant un corps cubique. III. [Sextic fields containing a 
cubic field. IIT] 92h:11095 

Parnami, J.C. (with Agrawal, M. K.; Rajwade, A. R.) On the stufe of quartic fields. 
92¢:11039 

Pethé, Attila see Gaal, Istvan; et al., 92g:11031 

Pohst, Michael E. see Halbritter, U., 92b:11080 and Gaal, Istvan; et al., 92g:11031 

Rajwade, A. R. see Parnami, J. C.; et al., 92c:11039 

Washington, Lawrence C. Abelian number fields of small degree. 92e:11117 

Zhang, Liang Cheng (with Gordon, Jonathan) On unit solutions of the equation xyz = 
x+y +z ina number field with unit group of rank 1. 92a:11029 


11R18 Cyclotomic extensions 


Bressoud, David M. On a cyclotomic unit and related products. 92k:11121 

Girstmair, Kurt Dirichlet convolution of cotangent numbers and relative class number 
formulas. 92b:11076 

— A recursion formula for the relative class number of the p"th cyclotomic field. 92j:11119 

Kersten, Ina K und Zp-Erweiterungen von Q(¢,-). (English summary) [K2 and Z,- 
extensions of Q(¢,-)] 92m:11121 

Levesque, Claude On improving Ramachandra’s unit index. 92j:11120 

Prapavessi, Despina T. On Jacobi sum Hecke characters ramified only at 2. 92k:11122 

Rubin, Karl Kolyvagin’s system of Gauss sums. 92a:11121 

Thaine, Francisco On the relation between units and Jacobi sums in prime cyclotomic fields. 
92m:11122 

Washington, Lawrence C. Kummer’s lemma for prime power cyclotomic fields. 92k:11123 


Items with secondary classifications in 11R18 


Ernvall, Reijo A note on the cyclotomic units. 92c:11118 

Estes, Dennis R. On the parity of the class number of the field of gth roots of unity. 
92b:11078 

Fee, Greg (with Granville, Andrew) The prime factors of Wendt’s binomial circulant 
determinant. 92f:11183 

Feng, Ke Qin (with Yin, Lin Sheng) Maximal independent system of units in cyclotomic 
function fields. 92m:11133 

Gerth, Frank, III On p-class groups of cyclic extensions of prime degree p of certain 
cyclotomic fields. 92a:11127 

Girstmair, Kurt Klassenzahlformein fiir Kreisteilungskérper. [Class number formulas for 
cyclotomic fields] 92d:11121 

Granville, Andrew see Fee, Greg, 92f:11183 

Huang, Ming-Deh A. Factorization of polynomials over finite fields and decomposition of 
primes in algebraic number fields. 92j:68058 

Kuz'min, L. V. New explicit formulas for the norm residue symbol and their applications. 
(Russian) 92f:11150 

Nakagoshi, Norikata On the class number of the /pth cyclotomic number field. 92a:11132 

Nelis, Peter The Schur group conjecture for the ring of integers of a number field. 
92e:11118 

Nébrega, Trajano Circular units of an abelian number field. 92a:11126 

Opolka, Hans Projective vectors of complex Galois representations. 92a:11139 

Perrin-Riou, Bernadette Travaux de Kolyvagin et Rubin. [Work of Kolyvagin and Rubin] 
92f:11085 

Schoof, René The structure of the minus class groups of abelian number fields. 92e:11126 

Slavut-skii, I. Sh. Mean value of L-functions and the class number of a cyclotomic field. II. 
(Russian) 92e:11087 

Temirgaliev, N. Application of the theory of divisors to the approximate reconstruction and 
integration of periodic functions in several variables. (Russian) 92a:42027 

— Mean-square errors for numerical integration algorithms that are connected with the 
theory of divisors in cyclotomic fields. (Russian) 92b:65021 

Wang, Jun On the Jacobi sums modulo P”. 92g:11120 

Wang, Lan An upper bound of class number of cyclotomic field Q(¢,). 92c:11123 

Yin, Lin Sheng see Feng, Ke Qin; et al., 92m:11133 





11R20 


11R20 Other abelian and metabelian extensions 


Kiming, Ian Explicit classifications of some 2-extensions of a field of characteristic different 
from 2. 92c:11115 

Lamprecht, Erich Verzweigungsordnungen, Diff und Ganzheitsbasen bei Radikaler- 
weiterungen. I. [Bifurcation orders, differents and integral bases in radical extensions. I] 
92h:11093 

— Verzweigungsordnungen, Differenten und Ganzheitsbasen bei Radikalerweiterungen. II. 
[Bifurcation orders, differents and integral bases in radical extensions. II] 92h:11094 

Li, De Lang Sextic cyclic fields containing the cube roots of unity. (Chinese) 

Nomura, Akito On the existence of unramified p-extensions. 92e:11115 

Olivier, Michel Corps sextiques contenant un corps cubique. III. [Sextic fields containing a 
cubic field. IIT] 92h:11095 

Stern, Leonid On the equality of norm groups of global fields. 92e:11116 

Travesa i Grau, Artur Nombre d’extensions abéliennes sur Q. (English summary) [The 
number of abelian extensions of Q] 92a:11122 

Washington, Lawrence C. Abelian number fields of small degree. 92e:11117 

Zhukov, I. B. Abelian p-extensions of an absolutely unramified field. (Russian) 92k:11124 








Items with secondary classifications in 11R20 

Burns, David J. On the Galois structure of the square root of the codifferent. (French 
summary) 92i:11119 

Gerth, Frank, III On p-class groups of cyclic extensions of prime degree p of certain 
cyclotomic fields. 92a:11127 

Girstmair, Kurt Dirichlet convolution of cotangent numbers and relative class number 
formulas. 92b:11076 

Harnchoowong, Ajchara (with Li, Wen-Ch’ing Winnie) Sylow subgroups of ideal class 
groups with moduli. 92a:11128 

Horie, Mitsuko The Hasse principle for elementary abelian fields. 92¢:11128 

Li, Wen-Ch’ing Winnie see Harnchoowong, Ajchara, 92a:11128 

Marszaiek, Roman Minkowski units in a class of metabelian fields. 92¢:11121 

Mayer, Daniel C. Multiplicities of dihedral discriminants. 92:11154 

Miyake, Katsuya Leopoldt kernels and central extensions of algebraic number fields. 
92¢:11130 

Miyata, Yoshimasa On the isomorphism class of an ambiguous ideal in a cyclic wildly 
ramified extension of degree p. 92c:11127 

Schmidt, Thomas A. S-class number parity in a quaternion field. 92h:11097 

Schoof, René The structure of the minus class groups of abelian number fields. 92e:11126 

Vaughan, Theresa P. Constructing quaternionic fields. 92m:12005 


11R21 Other number fields 


Klingen, Norbert Rigidity of decomposition laws and number fields. 92k:11125 

Movahhedi, A. Sur une class d’extensions non ramifiées. [On a class of unramified 
extensions] 92g:11103 

Nelis, Peter The Schur group conjecture for the ring of integers of a number field. 
92e:11118 

Niklasch, Gerhard (with Quéme, Roland) An improvement of Lenstra’s criterion for 
Euclidean number fields: the totally real case. 92f:11149 

Olivier, Michel Corps sextiques primitifs. (English summary) [Primitive sextic fields] 
92a:11123 

— The computation of sextic fields with a cubic subfield and no quadratic subfield. 
92e:11119 

Quéme, Roiand see Niklasch, Gerhard, 92f:11149 


Items with secondary classifications in 11R21 


Barrucand, Pierre see Kientega, Gérard, 92e:11113 

Kientega, Gérard (with Barrucand, Pierre) On quartic fields with the symmetric group. 
92e:11113 

Kriiskemper, Martin On the scaled trace forms and the transfer of a number field extension. 
92m:11034 

— Algebraic number field extensions with prescribed trace form. 92m:11035 

Liorente, P. (with Nart, Enric; Vila, N.) Decomposition of primes in number fields defined 
by trinomials. 92j:11124 

Nart, Enric see Liorente, P.; et al., 92j:11124 

Stroeker, R. J. Improvement of Nakamula’s upper bound for the absolute discriminant of a 
sextic number field with two real conjugates. 92k:11126 

Vila, N. see Liorente, P.; et al., 92j:11124 

Zanardo, P. (with Zannier, Umberto) The group of Pythagorean triples in number fields. 
(Italian summary) 92k:11114 

Zannier, Umberto see Zanardo, P., 92k:11114 


11R23 Iwasawa theory 


Coates, John Elliptic curves with complex multiplication and Iwasawa theory. 92i:11115 

Dummit, David S. (with Ford, David J.; Kisilevsky, H.; Sands, Jonathan W.) Computation 
of Iwasawa lambda invariants for imaginary quadratic fields. 92a:11124 

Ernvall, Reijo (with Metsankyla, T.) Computation of the zeros of p-adic L-functions. 
92j:11121 

Fleckinger, V. (with Nguyén-Quang-D6, Théng) Bases normales, unités et conjecture faible 
de Leopoldt. (English summary) [Normal bases, units and the weak Leopoldt conjecture] 
92i:11116 

Ford, David J. see Dummit, David S.; et al., 92a:11124 

Fukuda, Takashi (with Komatsu, Keiichi) Normal bases and A-invariants of number fields. 
92j:11122 

Gillard, Roland Remarques sur l’invariant mu d’Iwasawa dans le cas CM. [Remarks on the 
Iwasawa mu invariant in the CM case] 92m:11123 

Greenberg, Ralph Iwasawa theory for p-adic representations. 92c:11116 

Kida, Yaji Cyclotomic Z,-extensions of Q(./—1) and Q(/—3). 92c:11117 

Kisilevsky, H. see Dummit, David S.; et al., 92a:11124 

Kolster, Manfred An idelic approach to the wild kernel. 92b:11077 


NUMBER THEORY 


Komatsu, Keiichi see Fukuda, Takashi, 92j:11122 

Kuz'min, L. V. New explicit formulas for the norm residue symbol and their applications. 
(Russian) 92f:11150 

Metsankyla, T. see Ernvall, Reijo, 92j:11121 

Miyake, Katsuya A fundamental theorem on p-extensions of algebraic number fields. 
92a:11125 

— The arithmetic structure of the Galois group of the maximal nilpotent extension of an 
algebraic number field. 92j:11123 

Monsky, P. Fine estimates for the growth of e, in zd -extensions. 92e:11120 

Nagaraj, D.S. The structure of the Iwasawa module associated with a Z)-extension of a p- 
adic local field of characteristic 0. 92e:11121 

Nguyén-Quang-D6, Thong see Fleckinger, V., 92i:11116 

Nomura, Kiyomi On units groups of cyclotomic Z2-extension for relative quadratic fields. 
92h:11096 

Rubin, Karl The “main conjectures” of Iwasawa theory for imaginary quadratic fields. 
92f:11151 

Sands, Jonathan W. see Dummit, David S.; et al., 92a:11124 

Satoh, Junya The Iwasawa /,-invariants of I-transforms of the generating functions of the 
Bernoulli numbers. 92e:11122 

Washington, Lawrence C. On Sinnott’s proof of the vanishing of the Iwasawa invariant lp. 
92e:11123 


Items with secondary classifications in 11R23 

Coates, John (with Perrin-Riou, Bernadette) On p-adic L-functions attached to motives 
over Q. 92j:11060a 

— On p-adic L-functions attached to motives over Q. II. 92j:11060b 

Coleman, Robert F. Anderson-Ihara theory: Gauss sums and circular units. 92f:11159 

Flach, Matthias A generalisation of the Cassels-Tate pairing. 92b:11037 

Kersten, Ina Kz und Z,-Erweiterungen von Q(¢,-). (English summary) [K2 and Z,- 
extensions of Q(C,-)] 92m:11121 

Madan, Manohar L. see Villa Salvador, Gabriel D., 92f:11157 

Mazur, Barry C. (with Tilouine, J.) Représentations galoisiennes, différentielles de Kahler 
et “conjectures principales”. [Galois representations, Kahler differentials and the “main 
conjectures”] 92e:11060 

Naito, Hirotada Indivisibility of class numbers of totally imaginary quadratic extensions 
and their Iwasawa invariants. 92a:11131 

Perrin-Riou, Bernadette Travaux de Kolyvagin et Rubin. [Work of Kolyvagin and Rubin] 
92:11085 

— see also Coates, John, 92j:11060a 

Plater, A. An orthogonality relation on the points of an elliptic curve. 92i:11058 

Rubin, Karl The one-variable main conjecture for elliptic curves with complex multiplica- 
tion. 92j:11055 

Schneider, Peter Motivic Iwasawa theory. 92g:11064 

Solomon, David On the classgroups of imaginary abelian fields. (French summary) 
92a:11133 

Tilouine, J. see Mazur, Barry C., 92e:11060 

Villa Salvador, Gabriel D. (with Madan, Manohar L.) Integral representations of p-class 
groups in Z,-extensions, semisimple differentials and Jacobians. 92f:11157 


11R27 Units and factorization 


Brindza, B. On the generators of S-unit groups in algebraic number fields. 92m:11124 

del Corso, Ilaria Factorization of prime ideal extensions in number rings. 92i:11117 

Dickson, Tom (with Schultz, Phill) Primes in Z[V—5]. 92f:11152 

Ernvall, Reijo A note on the cyclotomic units. 92¢:11118 

Geroldinger, Alfred Factorization of natural numbers in algebraic number fields. 92c:11119 

Halter-Koch, Franz (with Miiller, Wolfgang”) Quantitative aspects of nonunique factoriza- 
tion: a general theory with applications to algebraic function fields. 92g:11104 

Ishibashi, Makoto The set of primes bounded by the Minkowski constant of a number field. 
92¢:11120 

Klingen, Norbert Leopoldt’s conjecture for imaginary Galois number fields. 92e:11124 

Liorente, P. (with Nart, Enric; Vila, N.) Decomposition of primes in number fields defined 
by trinomials. 92j:11124 

Lu, Hong Wen Hirzebruch sums and Hecke operators. 92f:11153 

Marszaiek, Roman Minkowski units in a class of metabelian fields. 92c:11121 

Miller, Wolfgang” see Halter-Koch, Franz, 92g:11104 

Nart, Enric see Liorente, P.; et al., 92j:11124 

Noébrega, Trajano Circular units of an abelian number field. 92a:11126 

Schultz, Phill see Dickson, Tom, 92f:11152 

Slavut-skii, I. Sh. An estimator for the regulator of an algebraic field. (Russian. English 
summary) 92i:11118 

Stroeker, R. J. Improvement of Nakamula’s upper bound for the absolute discriminant of a 
sextic number field with two real conjugates. 92k:11126 

Suzuki, Jiro On Schertz’s class number formula related to elliptic units for some non-Galois 
extensions. 92j:11125 

Vila, N. see Liorente, P.; et al., 92j:11124 

Watanabe, Shéichi On a factorization of a prime number in an algebraic number field. 
92k:11127 

Williams, Hugh Cowie Some formulas concerning the fundamental unit of a real quadratic 
field. 92j:11126 


Items with secondary classifications in 11R27 


Arenz, B. Computing fundamental units from independent units. 92m:11149 

Bressoud, David M. On a cyclotomic unit and related products. 92k:11121 

Buchmann, Johannes A. (with Williams, Hugh Cowie) On the existence of a short proof for 
the value of the class number and regulator of a real quadratic field. 92h:11089 

— Complexity of algorithms in algebraic number theory. 92f:11179 

Cusick, T. W. The regulator spectrum for totally real cubic fields. 92k:11119 

Feng, Ke Qin (with Yin, Lin Sheng) Maximal independent system of units in cyclotomic 
function fields. 92m:11133 





203 1992 


Geroldinger, Alfred Systeme von Langenmengen. (English summary) [Systems of sets of 
lengths] 92a:20071 

Halter-Koch, Franz Zur Zahlen- und Idealtheorie eindimensionaler Noetherscher In- 
tegritatsbereiche. [On the number theory and ideals of one-dimensional integral domains] 
92a:13014 

Harnchoowong, Ajchara (with Li, Wen-Ch’ing Winnie) Sylow subgroups of ideal class 
groups with moduli. 92a:11128 

Jacobson, Eliot (with Vélez, William Yslas) Fields arithmetically equivalent to a radical 
extension of the rationals. 92b:11081 

Klingen, Norbert Rigidity of decomposition laws and number fields. 92k:11125 

Lazarus, Andrew J. Gaussian periods and units in certain cyclic fields. 92j:11118 

Levesque, Claude On improving Ramachandra’s unit index. 92j:11120 

Li, Wen-Ch’ing Winnie see Harnchoowong, Ajchara, 92a:11128 

Mignotte, Maurice A note on the equation x? — 1 = y?(z? — 1). 92j:11026 

Miyake, Katsuya Leopoldt kernels and central extensions of algebraic number fields. 
92¢:11130 

Mollin, Richard A. (with Williams, Hugh Cowie) Corrigenda for: “Solution of a problem of 
Yokoi” [Proc. Japan Acad. Ser. A Math. Sci. 66 (1990), no. 6, 141-145; MR 91k:11094]. 

Nomura, Kiyomi On units groups of cyclotomic Z2-extension for relative quadratic fields. 
92h:11096 

Pohst, Michael E. Three principal tasks of computational algebraic number theory. 
92f:11182 

Thaine, Francisco On the relation between units and Jacobi sums in prime cyclotomic fields. 
92m:11122 

Vélez, William Yslas see Jacobson, Eliot, 92b:11081 

Williams, Hugh Cowie see Buchmann, Johannes A., 92h:11089 and Mollin, Richard A. 

Yin, Lin Sheng see Feng, Ke Qin; et al., 92m:11133 

Yokoi, Hideo New invariants of real quadratic fields. 92e:11112 

— The fundamental unit and bounds for class numbers of real quadratic fields. 92m:11120 

Zaupper, T. Unique factorization in quadratic number fields. 92f:11146 


11R29 Class numbers, class groups, discriminants 


Buchmann, Johannes A. (with Williams, Hugh Cowie) Some remarks concerning the 
complexity of computing class groups of quadratic fields. 92g:11105 

Cassou-Nogues, Philippe (with Taylor, Martin J.) Un élément de Stickelberger quadratique. 
(English summary) [A quadratic Stickelberger element] 92¢:11125 

Cornell, Gary Group theory and the class group. 92g:11106 

Earnest, A. G. Finiteness theorems for number fields having class groups of given 2-power 
exponent. 92j:11127 

Estes, Dennis R. On the parity of the class number of the field of gth roots of unity. 
92b:11078 

Gerth, Frank, III On p-class groups of cyclic extensions of prime degree p of certain 
cyclotomic fields. 92a:11127 

Girstmair, Kurt Klassenzahlformelin fiir Kreisteilungskérper. [Class number formulas for 
cyclotomic fields] 92d:11121 

Harnchoowong, Ajchara (with Li, Wen-Ch’ing Winnie) Sylow subgroups of ideal class 
groups with moduli. 92a:11128 

Katre, S. A. (with Khule, Sangita A.) A discriminant criterion for matrices over orders in 
algebraic numbers fields to be sums of squares. 92m:11125 

Khule, Sangita A. see Katre, S. A., 92m:11125 

Lazarus, Andrew J. On the class number and unit index of simplest quartic fields. 
92a:11129 

Li, Wen-Ch’ing Winnie see Harnchoowong, Ajchara, 92a:11128 

Louboutin, Stéphane Extensions du théoréme de Frobenius-Rabinovitsch. (English 
summary) [Extensions of the Frobenius-Rabinovich theorem] 92a:11130 

— L-functions and class numbers of imaginary quadratic fields and of quadratic extensions 
of an imaginary quadratic field. 92k:11128 

La, Hong Wen Hirzebruch sum and class number of the quadratic fields. 92k:11129 

Mayer, Daniel C. Multiplicities of dihedral discriminants. 92f:11154 

Meyer, Curt Class number formulas for imaginary pure quartic number fields. 92f:11155 

Mollin, Richard A. Corrigenda: “Class numbers bounded below by the divisor function” [C. 
R. Math. Rep. Acad. Sci. Canada 12 (1990), no. 4, 119-124; MR 91g:11127]. 

— (with Williams, Hugh Cowie) Affirmative solution of a conjecture related to a sequence of 
Shanks. 92c:11122 

Naito, Hirotada Indivisibility of class numbers of totally imaginary quadratic extensions 
and their Iwasawa invariants. 92a:11131 

Nakagoshi, Norikata On the class number of the /pth cyclotomic number field. 92a:11132 

Oukhaba, Hassan (with Robert, Gilles) Etude d’un idéal particulier, d’indice fini dans 
le carré de l’idéal d’augmentation, associé 4 un caractére de Dirichlet d’un groupe 
fini. (English summary) [Study of a certain ideal, of finite index in the square of the 
augmentation ideal, associated with a Dirichlet character of a finite group] 92k:11130 

Robert, Gilles see Oukhaba, Hassan, 92k:11130 

Schmidt, Thomas A. S-class number parity in a quaternion field. 92h:11097 

Schoof, René The structure of the minus class groups of abelian number fields. 92e:11126 

Shastri, Parvati 2-torsion of ideal class groups of Dedekind domains. 92m:11126 

Solomon, David On the classgroups of imaginary abelian fields. (French summary) 
92a:11133 

Taylor, Martin J. see Cassou-Nogués, Philippe, 92e:11125 

Urbanowicz, Jerzy Connections between 32, for even quadratic Dirichlet characters x and 
class numbers of appropriate imaginary quadratic fields. I, I]. 92a:11134a 

— Errata: “Connections between B2, for even quadratic Dirichlet characters x and class 
numbers of appropriate imaginary quadratic fields, I, II”. 92a:11134b 

Wang, Lan An upper bound of class number of cyclotomic field Q(¢,). 92c:11123 

Williams, Hugh Cowie see Mollin, Richard A., 92c:11122 and Buchmann, Johannes A., 
92g:11105 


Items with secondary classifications in 11R29 


Arai, Masao! On the reduction of binary cubic forms with positive discriminants. I. 
92a:11076a 


11R Algebraic number theory: global fields 


11R29 


— On the reduction of binary cubic forms with positive discriminants. II. 92a:11076b 

Bravckmann, Boris The 2-Sylow-subgroup of the tame kernel of number fields. 92¢:11135 

Brillhart, John Note on the discriminant of certain cyclotomic period polynomials. 
92k:11116 

Buchmann, Johannes A. (with Williams, Hugh Cowie) On the existence of a short proof for 
the value of the class number and regulator of a real quadratic field. 92h:11089 

— Complexity of algorithms in algebraic number theory. 92f:11179 

— A subexponential algorithm for the determination of class groups and regulators of 
algebraic number fields. 92g:11125 

— (with Dillmann, Stephan) A probabilistic class group and regulator algorithm and its 
implementation. 92m:11150 

Dubois, Eugene (with Levesque, Claude) On determining certain real quadratic fields 
with class number one and relating this property to continued fractions and primality 
properties. 92k:11117 

Diillmann, Stephan see Buchmann, Johannes A., 92m:11150 

Dummit, David S. The parity distribution of traces in imaginary quadratic fields. 92¢:11133 

(Gauss, Carl Friedrich) see Ribenboim, Paulo, 92h:11002 

Girstmair, Kurt Dirichlet convolution of cotangent numbers and relative class number 
formulas. 92b:11076 

— A recursion formula for the relative class number of the p"th cyclotomic field. 92j:11119 

Hayes, David R. Brumer elements over a real quadratic base field. 92a:11142 

Hellegouarch, Yves Théoréme de Terjanian généralisé. (English summary) [A generalization 
of Terjanian’s theorem] 92d:11024 

Hiibschke, Eduard * Arakelovtheorie fiir Zahlkérper. (German) [Arakelov theory for 
number fields] 92h:11101 

Hudson, Richard H. see Williams, Kenneth S., 92d:11118 

Ishibashi, Makoto The set of primes bounded by the Mink 
92¢:11120 

Katayama, Shigeru On certain real quadratic fields with class number 2. 92g:11102 

— see also Katayama, Shin-ichi, 92e:11111 and 92f:11140 

Katayama, Shin-ichi (with Katayama, Shigeru) On certain real quadratic fields with class 
numbers 3 and 5. 92:11140 

— Isogenous tori and the class number formulae. 92m:11043 

— (with Katayama, Shigeru) A note on the problem of Yokoi. 92e:11111 

Kida, Masanari (with Murabayashi, Naoki) Cyclotomic function fields with divisor class 
number one. 92d:11126 

— Kummer’s criterion for totally real number fields. 92j:11135 

Kida, Yaji Cyclotomic Z,-extensions of Q(/—1) and Q(/—3). 92c:11117 

Kim, Hyun Kwang (with Kim, Yong Moo) A classification of certain biquadratic fields of 
class number 1. 92e:11114 

Kim, Yong Moo see Kim, Hyun Kwang, 92e:11114 

Kolyvagin, V. A. Euler systems. 92g:11109 

Lazarus, Andrew J. Class numbers of simplest quartic fields. 92d:11119 

Leu, Ming Guang Erratum: “On a determination of certain real quadratic fields of class 
number two” [J. Number Theory 33 (1989), no. 1, 101-106; MR 90j:11110}. 

Levesque, Claude see Dubois, Eugene, 92k:11117 

Louboutin, Stéphane Les extensions quadratiques du corps des rationnels, ou du corps de 
Gauss, ou du corps des racines cubiques de l’unité de calibres 1. [Quadratic extensions 
of the field of rationals, the Gaussian field or the field of cube roots of unity of caliber 1] 
92b:11075a 

— Addendum: “Quadratic extensions of the field of rationals, the Gaussian field or the field 
of cube roots of unity of caliber 1”. 92b:11075b 

Martinet, Jacques Discriminants and permutation groups. 92c:11126 

Mayer, Daniel C. Principalization in complex S3-fields. 92f:11142 

McCurley, Kevin S. Cryptographic key distribution and computation in class groups. 
92e:11149 

Mollin, Richard A. (with Williams, Hugh Cowie) Class number one for real quadratic 
fields, continued fractions and reduced ideals. 92f:11143 

— (with Williams, Hugh Cowie) Solution of the class number one problem for real quadratic 
fields of extended Richaud-Degert type (with one possible exception). 92f:11144 

— On the divisor function and class numbers of real quadratic fields. II. 92d:11117 

— (with Williams, Hugh Cowie) Powers of 2, continued fractions, and the class number one 
problem for real quadratic fields Q(/d), with d = 1 (mod 8). 92m:11119 

— (with Williams, Hugh Cowie) On a determination of real quadratic fields of class number 
one and related continued fraction period length less than 25. 92c:11113 

— (with Williams, Hugh Cowie) Corrigenda for: “Solution of a problem of Yokoi” [Proc. 
Japan Acad. Ser. A Math. Sci. 66 (1990), no. 6, 141-145; MR 91k:11094]. 

— An efficient method for the determination of certain real quadratic fields of class number 
one. 92k:11118 

Murabayashi, Naoki see Kida, Masanari, 92d:11126 

Nomura, Akito On the existence of unramified p-extensions. 92e:11115 

Okada, Shozo Kummer’s theory for function fields. 92e:11134 

Olivier, Michel Corps sextiques primitifs. (English summary) [Primitive sextic fields] 
92a:11123 

— Corps sextiques contenant un corps cubique. III. [Sextic fields containing a cubic field. IIT] 
92h:11095 

Perrin-Riou, Bernadette Travaux de Kolyvagin et Rubin. [Work of Kolyvagin and Rubin] 
92£:11085 

Pohst, Michael E. Three principal tasks of computational algebraic number theory. 
92f:11182 

Ribenboim, Paulo Gauss and the class number problem. 92h:11002 

Rubin, Karl Kolyvagin’s system of Gauss sums. 92a:11121 

Sasaki, Ryuji Criteria for the class number of real quadratic fields to be one. 92f:11145 

Slavut-skii, I. Sh. Mean value of L-functions and the class number of a cyclotomic field. II. 
(Russian) 92¢:11087 

Stroeker, R. J. Improvement of Nakamula’s upper bound for the absolute discriminant of a 
sextic number field with two real conjugates. 92k:11126 

Suzuki, Jiro On Schertz’s class number formula related to elliptic units for some non-Galois 
extensions. 92j:11125 

Taya, Hisao (with Terai, Nobuhiro) Determination of certain real quadratic fields with 





ki constant of a number field. 





11R29 


class number two. 92h:11091 

Terai, Nobuhiro see Taya, Hisao, 92h:11091 

Washington, Lawrence C. Abelian number fields of small degree. 92e:11117 

Williams, Hugh Cowie see Mollin, Richard A., 92c:11113; 92f:11143; 92f:11144; Buchmann, 
Johannes A., 92h:11089 and Mollin, Richard A., 92m:11119 

Williams, Kenneth S. (with Hudson, Richard H.) Representation of primes by the principal 
form of discriminant —D when the classnumber /h(—D) is 3. 92d:11118 

Yokoi, Hideo The fundamental unit and bounds for class numbers of real quadratic fields. 
92m:11120 

Zaupper, T. Unique factorization in quadratic number fields. 92f:11146 


11R32 Galois theory 


Feit, Walter Some Galois groups over number fields. 92m:11127 

Ishkhanov, V. V. (with Lure, B. B.) An embedding problem with a nonabelian kernel of 
order p*. (Russian) 92c:11124 

— (with Lure, B. B.) An embedding problem for number fields with a noncommutative 
kernel of order p*. (Russian) 92a:11135 

— An embedding problem with a nonabelian kernel of order p*. (Russian) 92a:11136 

— (with Lure, B. B.) An embedding problem with a noncommutative kernel of order p*. II. 
(Russian) 92g:11107 

Komatsu, Kenzé Square-free discriminants and affect-free equations. 92¢:11125 

— On the Galois group of x? + ax +a=0. 92e:11127 

Laure, B. B. Universally solvable embedding problems. (Russian) 92a:11137 

— see also Ishkhanov, V. V., 92a:11135; 92c:11124 and 92g:11107 

Martinet, Jacques Discriminants and permutation groups. 92¢:11126 

McCarthy, Paul J. * Algebraic extensions of fields. 92a:11138 

Ono, Takashi A note on the Artin map. II. 92d:11122 

Opolka, Hans Projective vectors of complex Galois representations. 92a:11139 


Items with secondary classifications in 11R32 


Burns, David J. Canonical factorisability and a variant of Martinet’s conjecture. 92m:11128 

Dénges, Manfred Die erweiterte Oktaedergruppe und die Resolventen der Gleichungen 4. 
Grades. [The extended octahedral group and the resolvents of equations of 4th degree] 
92£:12006 

Drmota, Michael (with Skalba, Mariusz) On multiplicative and linear independence of 
polynomial roots. 92m:11118 

Erez, Boas The Galois structure of the square root of the inverse different. 92g:11108 

Ihara, Yasutaka Braids, Galois groups and some arithmetic functions. 92m:12006 

Jacobson, Eliot (with Vélez, William Yslas) Fields arithmetically equivalent to a radical 
extension of the rationals. 92b:11081 

Kojima, Hisashi Remark on Belyi’s paper concerning Galois extensions of the maximal 
cyclotomic field with certain linear groups as Galois groups. 92e:12004 

Mestre, Jean-Francois Familles de courbes hyperelliptiques 4 multiplications réelles. 
[Families of hyperelliptic curves with real multiplication] 92e:14022 

Miyake, Katsuya A fundamental theorem on p-extensions of algebraic number fields. 
92a:11125 

— The arithmetic structure of the Galois group of the maximal nilpotent extension of an 
algebraic number field. 92j:11123 

Movahhedi, A. Sur les p-extensions des corps p-rationnels. [On p-extensions of p-rational 
fields] 92j:11131 

— Sur une class d’extensions non ramifiées. [On a class of unramified extensions] 92g:11103 

Nakamura, Hiroaki Centralizers of Galois representations in pro-/ pure sphere braid groups. 
92)j:14026 

Olivier, Michel The computation of sextic fields with a cubic subfield and no quadratic 
subfield. 92e:11119 

Ono, Takashi A note on Poincaré sums of Galois representations. 92f:12007 

— A note on Poincaré sums of Galois representations. I]. 92m:12007a 

— A note on Poincaré sums of Galois representations. III]. 92m:12007b 

Pop, Florian On the Galois theory of function fields of one variable over number fields. 
924:11127 

Praeger, Cheryl E. Kronecker classes of field extensions of small degree. 92m:12004 

Schmidt, Thomas A. S-class number parity in a quaternion field. 92h:11097 

Skalba, Mariusz see Drmota, Michael, 92m:11118 

Sonn, Jack Central extensions of S,, as Galois groups of regular extensions of Q(T). 
92g:12007 

Stern, Leonid On the equality of norm groups of global fields. 92e:11116 

Taguchi, Yuichiro Semisimplicity of the Galois representations attached to Drinfel/d 
modules over fields of “finite characteristics”. 92d:11060 

Tang, Jian Er Quartic normal extensions of the rational field. 92f:11148 

Vaughan, Theresa P. The normal closure of a quadratic extension of a cyclic quartic field. 
92k:11120 

— Constructing quaternionic fields. 92m:12005 

Vélez, William Yslas see Jacobson, Eliot, 92b:11081 

Yakovlev, A. V. Galois extensions with solvable group. (Russian) 92a:12009 

Yamamura, Ken Some analogue of Hilbert’s irreducibility theorem and the distribution of 
algebraic number fields. 92e:11132 


11R33 Integral representations related to algebraic 
numbers; Galois module structure of rings of integers 
[see also 20C10] 
Bachoc, Christine Sur les réseaux unimodulaires pour Trace(X7). [On unimodular lattices 
for Trace(X?)] 92d:11123 
Brinkhuis, Jan Galois module structure as the obstruction to a local-global principle. 
92j:11128 
Burns, David J. Canonical factorisability and a variant of Martinet’s conjecture. 92m:11128 


— On the Galois structure of the square root of the codifferent. (French summary) 
92i:11119 


NUMBER THEORY 


— see also Cassou-Nogues, Philippe; et al., 92d:11124 

(Byott, Nigel) see Cassou-Nogues, Philippe; et al., 92d:11124 

Cassou-Nogues, Philippe (with Chinburg, T.; Frohlich, Albrecht; Taylor, Martin J.) L- 
functions and Galois modules. 92d4:11124 

Chapman, R. J. Carlitz modules and normal integral bases. 92j:11129 

Chinburg, T. see Cassou-Noguées, Philippe; et al., 92d:11124 

Erez, Boas A survey of recent work on the square root of the inverse different. 92m:11129 

— The Galois structure of the square roct of the inverse different. 92g:11108 

Frohlich, Albrecht see Cassou-Nogues, Philippe; et al., 92d:11124 

Holland, David Homological equivalences of modules and their projective invariants. 
92i:11120 

Madan, Manohar L. see Rzedowski Calderén, Martha; et al., 92e:11128 and Villa Salvador, 
Gabriel D., 92f:11157 

Malinin, D. A. On the Bartels-Kitaoka problem. (Russian) 92i:11121 

Marszalek, Roman Indecomposable Z,[G]-lattices for a class of metabelian groups. 
92i:11122 

Massy, Richard Sur les bases normales d’entiers relatives. [On relative normal integral 
bases] 92m:11130 

— Formules de construction de bases normales d’entiers relatives. (English summary) 
{Construction formulas for relative normal integral bases] 92m:11131 

— Bases normales d’entiers relatives quadratiques. (English summary) [Relative quadratic 
normal integral bases] 92f:11156 

Miyata, Yoshimasa On the isomorphism class of an ambiguous ideal in a cyclic wildly 
ramified extension of degree p. 92¢:11127 

Rzedowski Calderén, Martha (with Villa Salvador, Gabriel D.; Madan, Manohar L.) Galois 
module structure of rings of integers. 92e:11128 

Schertz, Reinhard Galoismodulstruktur und elliptische Funktionen. (English summary) 
[Galois module structure and elliptic functions] 92j:11130 

Taylor, Martin J. Résolvandes et espaces homogénes principaux de schémas en groupe. 
[*Resolvands” and principal homogeneous spaces of group schemes] 92e:11129 

— see also Cassou-Nogués, Philippe; et al., 92d:11124 

Villa Salvador, Gabriel D. (with Madan, Manohar L.) Integral representations of p-class 
groups in Z,-extensions, semisimple differentials and Jacobians. 92f:11157 

— see also Rzedowski Calderén, Martha; et al., 92e:11128 

Wilson, S. M. J. A projective invariant comparing rings of integers in wildly ramified 
extensions. 92a:11140 


Items with secondary classifications in 11R33 

Cassou-Nogues, Philippe (with Srivastav, Anupam) On Taylor’s conjecture for Kummer 
orders. 92¢:11058 

Cougnard, Jean Quelques questions sur les entiers algébriques. Aspects algorithmiques. 
[Some questions concerning algebraic integers. Algorithmic aspects] 92f:11180 

Fleckinger, V. (with Nguyén-Quang-D6, Thong) Bases normales, unités et conjecture faible 
de Leopoldt. (English summary) [Normal bases, units and the weak Leopoldt conjecture] 
92i:11116 

Nguyén-Quang-D6, Thong see Fleckinger, V., 92i:11116 

Pohst, Michael E. Three principal tasks of computational algebraic number theory. 
92f:11182 

Schmidt, Thomas A. S-class number parity in a quaternion field. 92h:11097 

Srivastav, Anupam see Cassou-Nogues, Philippe, 92c:11058 


11R34 Galois cohomology [see also 12Gxx, 16H05, 19A31] 


Kolyvagin, V. A. Euler systems. 92g:11109 

Kunyavskii, B. E. On the Hasse norm principle. (Russian) 92e:11130 

Morishita, Masanori On the Hasse norm principle for certain generalized dihedral 
extensions over Q. 92¢:11131 

Movahhedi, A. Sur les p-extensions des corps p-rationnels. [On p-extensions of p-rational 
fields] 92j:11131 

Voskresenskii, V. E. The projective group of a finite separable extension. (Russian) 
92j:11132 

Wingberg, Kay On Galois groups of p-closed algebraic number fieids with restricted 
ramification. II. 92f:11158 


Items with secondary classifications in 11R34 

Borovoi, M. V. Weak approximation in homogeneous spaces of algebraic groups. (Russian) 
92i:11043 

DeMeyer, Frank (with Greenfield, G. R.) The uniform group under change of rings. 
92b:13006 

Fleckinger, V. (with Nguyén-Quang-D6, Thong) Bases normaies, unités et conjecture faible 
de Leopoldt. (English summary) [Normal bases, units and the weak Leopoldt conjecture] 
92i:11116 

Greenberg, Ralph Iwasawa theory for p-adic representations. 92c:11116 

Greenfield, G. R. see DeMeyer, Frank, 92b:13006 

Jones, John William On the local norm map for abelian varieties with good ordinary 
reduction. 92d:11062 

Katayama, Shin-ichi Isogenous tori and the class number formulae. 92m:11043 

Kubota, Tomio Remarks on the theorems of Takagi and Furtwangler. 92b:11079 

Malinin, D. A. On the Bartels-Kitaoka problem. (Russian) 92i:11121 

Nguyén-Quang-Dé, Thong Lois de réciprocité primitives. (English summary) [Primitive 
reciprocity laws] 92g:11110 

— see also Fleckinger, V., 92i:11116 

Wingberg, Kay On a Galois extension with restricted ramification related to the Selmer 
group of an elliptic curve with complex multiplication. 92d:11059 


11R37 Class field theory 


Cohn, Harvey (with Deutsch, Jesse Ira) Some singular moduli for Q(V3). 92k:11131 
Coleman, Robert F. Anderson-Ihara theory: Gauss sums and circular units. 92f:11159 
Deutsch, Jesse Ira see Cohn, Harvey, 92k:11131 





205 1992 


Halter-Koch, Franz A note on ray class fields of global fields. 92a:11141 

Horie, Mitsuko The Hasse principle for elementary abelian fields. 92c:11128 

Kaltofen, Erich (with Yui, Noriko) Explicit construction of the Hilbert class fields of 
imaginary quadratic fields by integer lattice reduction. 92j:11133 

Kubota, Tomio Remarks on the theorems of Takagi and Furtwangler. 92b:11079 

Lan, Yi Zhong Elliptic modular functions and the construction of the class fields of degree 3 
over number fields. (Chinese) 92c:11129 

Miyake, Katsuya Leopoldt kernels and central extensions of algebraic number fields. 
92c:11130 

Nguyén-Quang-D6, Thong Lois de réciprocité primitives. (English summary) [Primitive 
reciprocity laws] 92g:11110 

Suzuki, Hiroshi A generalization of Hilbert’s theorem 94. 92h:11098 

Yui, Noriko see Kaltofen, Erich, 92j:11133 


Items with secondary classifications in 11R37 

Bhaskaran, M. (with Venkataraman, S.) On the splitting of primes in an arithmetic 
progression. II. 92f:11163 

Cohn, Harvey Some special complex multiplications in two variables using Hilbert singular 
moduli. 92h:11035 

Harnchoowong, Ajchara (with Li, Wen-Ch’ing Winnie) Sylow subgroups of ideal class 
groups with moduli. 92a:11128 

Hudson, Richard H. see Williams, Kenneth S., 92d:11118 

Ishkhanov, V. V. (with Lur’e, B. B.) An embedding problem with a noncommutative kernel 
of order p*. II. (Russian) 92g:11107 

Kato, Kazuya The explicit reciprocity law and the cohomology of Fontaine-Messing. (French 
summary) 92k:11068 

Kida, Masanari Kummer’s criterion for totally real number fields. 92j:11135 

Li, Wen-Ch’ing Winnie see Harnchoowong, Ajchara, 92a:11128 

Lar’e, B. B. see Ishkhanov, V. V., 92g:11107 

Martinet, Jacques Discriminants and permutation groups. 92¢:11126 

Meyer, Curt Class number formulas for imaginary pure quartic number fields. 92f:11155 

Miyake, Katsuya The arithmetic structure of the Galois group of the maximal nilpotent 
extension of an algebraic number field. 92j:11123 

Perret, Marc Tours ramifiées infinies de corps de classes. (English summary) [Infinitely 
many ramified class-field towers] 92m:11059 

Thaine, Francisco On the relation between units and Jacobi sums in prime cyclotomic fields. 
92m:11122 

Venkataraman, S. see Bhaskaran, M., 92f:11163 

Williams, Kenneth S. (with Hudson, Richard H.) Representation of primes by the principal 
form of discriminant —D when the classnumber h(—D) is 3. 92d:11118 


11R39 Langlands-Weil conjectures, nonabelian class field theory 
[see also 11Fxx, 22E55] 


Items with secondary classifications in 11R39 


Aubert, A.-M. Description de la correspondance de Howe en termes de classification de 
Kazhdan-Lusztig. [Description of the Howe correspondence in terms of the Kazhdan- 
Lusztig classification] 92h:22036 

Clozel, Laurent Représentations galoisiennes associées aux représentations automorphes 
autoduales de GL(n). [Galois representations associated with self-dual automorphic 
representations of GL(n)] 92i:11055 

Jacquet, Hervé (with Ye, Yangbo) Une remarque sur le changement de base quadratique. 
(English summary) [A remark on the quadratic base change] 92j:11046 

Joyner, David On twisted orbital integral identities for PGL(3) over a p-adic field. 
92d:22026 

Kottwitz, Robert E. Shimura varieties and A-adic representations. 92b:11038 

Langlands, Robert P. Representation theory: its rise and its role in number theory. 
92d:11053 

Li, Wen-Ch’ing Winnie The role of Fourier transform in correspondences of representations 
of degree two algebras. 92h:11042 

(Schmid, Wilfried) see Vogan, David A., Jr., 92e:22025 

Shahidi, F. Best estimates for Fourier coefficients of Maass forms. 92d:11045 

Taylor, Richard Galois representations associated to Siegel modular forms of low weight. 
92j:11044 

Vogan, David A., Jr. * Representations of reductive Lie groups. 92e:22025 

Ye, Yangbo see Jacquet, Hervé, 92j:11046 


11R42 Zeta functions and L-functions of number fields 


[see also 11M41, 19F27] 


Bartz, K. M. Correction to the paper: “An effective order of Hecke-Landau zeta functions 
near the line o = 1. I” [Acta Arith. 50 (1988), no. 2, 183-193; MR 91b:11130]. 92f:11160 

Coleman, M. D. A zero-free region for the Hecke L-functions. 92c¢:11131 

Fryska, Tadeusz Einige Bemerkungen iiber die Reihe >> x”/p. [Some comments on the 
series }> x?/p] 92h:11099 

— Correction: “On some formulas in analytic number theory. I” [Funct. Approx. Comment. 
Math. 18 (1989), 121-133; MR 91f:11077]. (German) 92¢:11132 

Halbritter, U. (with Pohst, Michael E.) On the computation of the values of zeta functions 
of totally real cubic fields. 92b:11080 

Hayes, David R. The partial zeta functions of a real quadratic number field evaluated at 
s=0. 92j:11134 

— Brumer elements over a real quadratic base field. 92a:11142 

Jacobson, Eliot (with Vélez, William Yslas) Fields arithmetically equivalent to a radical 
extension of the rationals. 92b:11081 

Kida, Masanari Kummer’s criterion for totally real number fields. 92j:11135 

Morita, Yasuo A lower bound of L,(1, x) for a Dirichlet character x. 92i:11123 

Pohst, Michael E. see Halbritter, U., 92b:11080 

Ramakrishnan, Dinakar On certain Artin L-series. 92j:11136 

Vélez, William Yslas see Jacobson, Eliot, 92b:11081 


11R Algebraic number theory: global fields 


11R47 


Zagier, Don Polylogarithms, Dedekind zeta functions and the algebraic K-theory of fields. 
92f:11161 


Items with secondary classifications in 11R42 


Barrucand, Pierre see Kientega, Gérard, 92e:11113 

(Burns, David J.) see Cassou-Nogues, Philippe; et al., 92d:11124 

(Byott, Nigel) see Cassou-Nogues, Philippe; et al., 92d:11124 

Cassou-Nogues, Philippe (with Chinburg, T.; Frohlich, Albrecht; Taylor, Martin J.) L- 
functions and Galois modules. 92d:11124 

Chinburg, T. see Cassou-Nogues, Philippe; et al., 92d:11124 

Colmez, Pierre Une formule du produit pour les périodes des variétés abéliennes a 
multiplication complexe. (English summary) [A product formula for periods of abelian 
varieties with complex multiplication] 92m:11056 

Ernvall, Reijo (with Metsankyla, T.) Computation of the zeros of p-adic L-functions. 
92j:11121 

Frohlich, Albrecht see Cassou-Nogues, Philippe; et al., 92d:11124 

Gillard, Roland Remarques sur l’invariant mu d’Iwasawa dans le cas CM. [Remarks on the 
Iwasawa mu invariant in the CM case] 92m:11123 

Grundman, H.G. The arithmetic genus of Hilbert modular varieties over non-Galois cubic 
fields. 92d:11047 

Kientega, Gérard (with Barrucand, Pierre) On quartic fields with the symmetric group. 
92e:11113 

Metsankyla, T. see Ernvall, Reijo, 92j:11121 

Naito, Hirotada Indivisibility of class numbers of totally imaginary quadratic extensions 
and their Iwasawa invariants. 92a:11131 

Nowak, Werner Georg Sums of reciprocals of general divisor functions and the Selberg 
divisor problem. 92m:11103 

Oukhaba, Hassan (with Robert, Gilles) Etude d’un idéal particulier, d’indice fini dans 
le carré de l’idéal d’augmentation, associé 4 un caractére de Dirichlet d’un groupe 
fini. (English summary) [Study of a certain ideal, of finite index in the square of the 
augmentation ideal, associated with a Dirichlet character of a finite group] 92k:11130 

Robert, Gilles see Oukhaba, Hassan, 92k:11130 

Rovinskii, M. Z. Meromorphic functions connected with polylogarithms. (Russian) 
92h:11058 

Taylor, Martin J. see Cassou-Nogues, Philippe; et al., 92d:11124 

Urbanowicz, Jerzy Connections between B2 , for even quadratic Dirichlet characters x and 
class numbers of appropriate imaginary quadratic fields. I, I]. 92a:11134a 

— Errata: “Connections between B , for even quadratic Dirichlet characters x and class 
numbers of appropriate imaginary quadratic fields, I, II”. 92a:11134b 

Washington, Lawrence C. Kummer’s lemma for prime power cyclotomic fields. 92k:11123 

Zarzycki, Piotr Distribution of primes of imaginary quadratic fields in sectors. 92j:11137 


11R44 Distribution of prime ideals [see also 11N05] 


Lenstra, Hendrik W., Jr. (with Stevenhagen, P.) Primes of degree one and algebraic cases 
of Cebotarev’s theorem. 92f:11162 

Stevenhagen, P. see Lenstra, Hendrik W., Jr., 92f:11162 

Yagi, Akiko A generalized mean value theorem. 92g:11111 

Zarzycki, Piotr Distribution of primes of imaginary quadratic fields in sectors. 92j:11137 


Items with secondary classifications in 11R44 
Zheludevich, F. F. Local estimates in the Lehmer problem. (Russian) 92h:11087 


11R45 Density theorems 


Bhaskaran, M. (with Venkataraman, S.) On the splitting of primes in an arithmetic 
progression. II. 92f:11163 

Dummit, David S. The parity distribution of traces in imaginary quadratic fields. 92c:11133 

Halter-Koch, Franz Der Cebotarev’sche Dichtigkeitssatz und ein Analogon zum Dirich- 
let’schen Primzahlsatz fiir Algebraische Funktionenk6rper. (English summary) [Cheb- 
otarev’s density theorem and an analogue to Dirichlet’s theorem on primes for algebraic 
function fields] 92f:11164 

Odoni, R. W. K. On the number of integral ideals of given norm and ray-class. 92d:11125 

Venkataraman, S. see Bhaskaran, M., 92f:11163 

Yamamura, Ken Some analogue of Hilbert’s irreducibility theorem and the distribution of 
algebraic number fields. 92e:11132 


Items with secondary classifications in 11R45 

Filaseta, Michael On an irreducibility theorem of I. Schur. 92h:11088 

Geroldinger, Alfred Factorization of natural numbers in algebraic number fields. 92c:11119 

Halter-Koch, Franz A note on ray class fields of global fields. 92a:11141 

Ishibashi, Makoto Effective version of the Tschebotareff density theorem in function fields 
over finite fields. 92k:11135 

Lenstra, Hendrik W., Jr. (with Stevenhagen, P.) Primes of degree one and algebraic cases 
of Cebotarev’s theorem. 92f:11162 

Odoni, R. W. K. Weil numbers and CM fields. II. 92h:11086 

Stevenhagen, P. see Lenstra, Hendrik W., Jr., 92f:11162 


11R47 Other analytic theory [see also 11Nxx] 

Costa, Antone (with Friedman, Eduardo) Ratios of regulators in totally real extensions of 
number fields. 92j:11138 

Friedman, Eduardo see Costa, Antone, 92j:11138 


Rausch, Ulrich A summation formula in algebraic number fields and applications. I. 
92b:11082 


— Zum Ellipsoidproblem in algebraischen Zahlkérpern. [On the ellipsoid problem in 
algebraic number fields] 92k:11132 

Items with secondary classifications in 11R47 

Brindza, B. On the generators of S-unit groups in algebraic number fields. 92m:11124 





11R47 


Nowak, Werner Georg Divisors in arithmetic progressions in imaginary quadratic number 
fields. 92c:11101 

Slavut-skii, I. Sh. An estimator for the regulator of an algebraic field. (Russian. English 
summary) 92i:11118 

Wang, Yuan' * Diophantine equations and inequalities in algebraic number fields. 
92a:11036 

Zhang, Wen Bin The abstract prime number theorem for algebraic function fields. 
92d:11111 


11R52 Quaternion and other division algebras: arithmetic, zeta 
functions 


Brzezinski, Juliusz On embedding numbers into quaternion orders. 92e:11133 

Estes, Dennis R. Factorization in quaternion orders over number fields. 92m:11132 

Nelis, Peter Schur and projective Schur groups of number rings. 92g:11112 

Yanchevskii, V. I. Reduced norms of simple algebras over function fields. (Russian) 
92a:11143 


Items with secondary classifications in 11R52 

Gekeler, Ernst-Uirich Sur la géométrie de certaines algébres de quaternions. [On the 
geometry of certain quaternion algebras] 92a:11068 

Hatcher, Rhonda Lee Special values of L-series. 92¢:11048 

Koch, Helmut V. Eisenstein polynomial sequences and conjugacy classes of division 
algebras over local fields. 92j:11143 

Leep, David B. Levels of division algebras. 92g:11036 

Pierce, R.S. (with Vinsonhaler, C. I.) Realizing subrings of rational division algebras. 
92g:16022 

Vinsonhaler, C. 1. see Pierce, R. S., 92g:16022 


11R54 Other algebras and orders, and their zeta and L-functions 
[see also 11845, 16H05, 16Kxx] 


Nakkajima, Yukiyoshi (with Taguchi, Yuichiro) A generalization of the Chowla-Selberg 
formula. 92g:11113 
Taguchi, Yuichiro see Nakkajima, Yukiyoshi, 92g:11113 


Items with secondary classifications in 11R54 


Iglésias, Patrick (with Lachaud, Gilles) Espaces différentiables singuliers et corps de 
nombres algébriques. (English summary) [Singular differentiable spaces and algebraic 
number fields] 92j:57020 


Lachaud, Gilles see Iglésias, Patrick, 92j:57020 
Nakagawa, J. Erratum: “Binary forms and orders of algebraic number fields” [Invent. Math. 
97 (1989), no. 2, 219-235; MR 90k:11042]. 924:11036 


11R56 Adele rings and groups 


Items with secondary classifications in 11R56 

Lan, Yi Zhong Elliptic modular functions and the construction of the class fields of degree 3 
over number fields. (Chinese) 92c:11129 

Taylor, Martin J. Résolvandes et espaces homogénes principaux de schémas en groupe. 
[“Resolvands” and principal homogeneous spaces of group schemes] 92e:11129 


11R5& Arithmetic theory of algebraic function fields [see also 14- 
XX] 


Clement, Rosario The genus field of an algebraic function field. 92k:11133 

Damamme, G. (with Hellegouarch, Yves) Transcendence of the values of the Carlitz zeta 
function by Wade’s method. 92h:11100 

Feng, Ke Qin (with Yin, Lin Sheng) Maximal independent system of units in cyclotomic 
function fields. 92m:11133 

Garcia, Arnaldo (with Stichtenoth, Henning) Elementary abelian p-extensions of algebraic 
function fields. 92j:11139 

Gonzalez, Cristian D. Class numbers of quadratic function fields and continued fractions. 
92k:11134 

Goss, David A formal Mellin transform in the arithmetic of function fields. 92a:11144 

Hellegouarch, Yves see Damamme, G., 92h:11100 

Ishibashi, Makoto Effective version of the Tschebotareff density theorem in function fields 
over finite fields. 92k:11135 

Kida, Masanari (with Murabayashi, Naoki) Cyclotomic function fields with divisor class 
number one. 924:11126 

Murabayashi, Naoki see Kida, Masanari, 92d:11126 

Okada, Shozo Kummer’s theory for function fields. 92e:11134 

Pop, Florian On the Galois theory of function fields of one variable over number fields. 
92d:11127 

Stichtenoth, Henning see Garcia, Arnaldo, 92j:11139 

Thakur, Dinesh S. Gross-Koblitz formula for function fields. 92b:11083 

— Gauss sums for function fields. 92a:11145 

Yin, Lin Sheng see Feng, Ke Qin; et al., 92m:11133 


Items with secondary classifications in 11R58 
Chapman, R. J. Carlitz modules and normal integral bases. 92j:11129 


Gaunet, Marie-Laure Formes cubiques polynomiales. (English summary) [Polynomial cubic 
forms] 92a:11027 


Gekeler, Exast-Ulrich On finite Drinfel/d modules. 92e:11064 
Guthmann, Andreas Kettenbriiche und Divisoren in reell-quadratischen Erweiterungen von 


GF(q)[7]. [Continued fractions and divisors in real-quadratic extensions of GF(q)[T]] 
92m:11152 


Halter-Koch, Franz A note on ray class fields of global fields. 92a:11141 


NUMBER THEORY 


1992 206 


— (with Miiller, Wolfgang”) Quantitative aspects of nonunique factorization: a general 
theory with applications to algebraic function fields. 92g:11104 

— Der Cebotarev’sche Dichtigkeitssatz und ein Analogon zum Dirichlet’schen Primzahlsatz 
fiir Algebraische Funktionenkérper. (English summary) [Chebotarev’s density theorem 
and an analogue to Dirichlet’s theorem on primes for algebraic function fields] 92f:11164 

Lewittes, Joseph Places of degree one in function fields over finite fields. 92b:14004 

Madan, Manohar L. (with Rosen, Michael I.) The automorphism group of a function field. 
92j:12008 

— see also Villa Salvador, Gabriel D., 92f:11157 

Miiller, Wolfgang” see Halter-Koch, Franz, 92g:11104 

Rosen, Michael I. see Madan, Manohar L., 92j:12008 

Rzedowski Calderén, Martha (with Villa Salvador, Gabriel D.) Automorphisms of 
congruence function fields. 92e:14020 

Taguchi, Yuichiro Semisimplicity of the Galois representations attached to Drinfel’d 
modules over fields of “finite characteristics”. 92d:11060 

Teitelbaum, Jeremy T. The Poisson kernel-for Drinfel’d modular curves. 92c:11060 

Thakur, Dinesh S. Gamma functions for function fields and Drinfel’d modules. 92g:11058 

Villa Salvador, Gabriel D. (with Madan, Manohar L.) Integral representations of p-class 
groups in Z,-extensions, semisimple differentials and Jacobians. 92f:11157 

— see also Rzedowski Calderén, Martha. 92e:14020 

Xing, Chao Ping Hyperelliptic function fields and codes. 92g:11060 

Yanchevskii, V. I. Reduced norms of simple algebras over function fields. (Russian) 
92a:11143 


11R65 Class groups and Picard groups of orders 


Hiibschke, Eduard * Arakelovtheorie fiir Zahlkérper. (German) [Arakelov theory for 
number fields] 92h:11101 
Sands, Jonathan W. Generalization of a theorem of Siegel. 92c:11134 


Items with secondary classifications in 11R65 

Burns, David J. On the Galois structure of the square root of the codifferent. (French 
summary) 92i:11119 

Holland, David Homological equivalences of modules and their projective invariants. 
92i:11120 

Taylor, Martin J. Résolvandes et espaces homogénes principaux de schémas en groupe. 
[“Resolvands” and principal homogeneous spaces of group schemes] 92e:11129 

Wilson, S. M. J. A projective invariant comparing rings of integers in wildly ramified 
extensions. 92a:11140 


11R70 K-theory of global fields [see also 19F xx] 


Berger, Ruth I. Quadratic extensions with elementary abelian K2(O). 92k:11136 

Brauckmann, Boris The 2-Sylow-subgroup of the tame kernel of number fields. 92e:11135 

Izhboldin, O. On p-torsion in K™ for fields of characteristic p. 92f:11165 

Kida, Masanari A note on exponents of K-groups of rings of algebraic integers. 92i:11124 

Komatsu, Keiichi K-groups and ideal class groups of number fields. 92¢:11135 

Musikhin, A. (with Suslin, A. A.) Triviality of the higher Chern classes in the K-theory of 
global fields. 92f:11166 

Suslin, A. A. see Musikhin, A., 92f:11166 

Wojtkowiak, Zdzistaw A construction of analogs of the Bloch-Wigner function. 92b:11084 


Items with secondary classifications in 11R70 

Kersten, Ina K2 und Z,-Erweiterungen von Q(¢,,). (English summary) [K2 and Z)- 
extensions of Q(¢,-)] 92m:11121 

Kolster, Manfred An idelic approach to the wild kernel. 92b:11077 

Srinivas, V. * Algebraic K-theory. 92j:19001 

Urbanowicz, Jerzy Connections between B> , for even quadratic Dirichlet characters x and 
class numbers of appropriate imaginary quadratic fields. I, II. 92a:11134a 

— Errata: “Connections between Bz, for even quadratic Dirichlet characters x and class 
numbers of appropriate imaginary quadratic fields, I, II”. 92a:11134b 

Zagier, Don Polylogarithms, Dedekind zeta functions and the algebraic K-theory of fields. 
92f:11161 


11R80 Totally real and totally positive fields [see also 12J15] 


Items with secondary classifications in 11R80 

Akramov, U. A. An isolation theorem for forms that correspond to purely real algebraic 
fields. (Russian) 92a:11073 

Berger, Ruth I. Quadratic extensions with elementary abelian K2(O). 92k:11136 

Costa, Antone (with Friedman, Eduardo) Ratios of regulators in totally real extensions of 
number fields. 92j:11138 

Cusick, T. W. The regulator spectrum for totally real cubic fields. 92k:11119 

Debes, Pierre see Fried, Michael D., 92c:12005 

Fried, Michael D. (with Débes, Pierre) Rigidity and real residue class fields. 92c:12005 

Friedman, Eduardo see Costa, Antone, 92j:11138 

Halbritter, U. (with Pohst, Michael E.) On the computation of the values of zeta functions 
of totally real cubic fields. 92b:11080 

Malinin, D. A. On the Bartels-Kitaoka problem. (Russian) 92i:11121 

Pohst, Michael E. see Halbritter, U., 92b:11080 


11Sxx Algebraic number theory: local and p-adic fields 


Items with secondary classifications in 11Sxx 

(Baker, Andrew James) see p-adic methods and their applications, 92m:00035 

(Plymen, Roger J.) see p-adic methods and their applications, 92m:00035 

Items listed otherwise than by author 

p-adic methods and their applications * p-adic methods and their applications. 92m:00035 





207 1992 


11805 Polynomials 


Items with secondary classifications in 11S05 


Chistov, A. L. An algorithm of polynomial complexity for factorization of polynomials over 
local fields. (Russian. English summary) 92e:11146 


11815 Ramification and extension theory 


Cram, G.-Martin Primitive local Galois representations: an example. 92e:11136 
Epkenhans, Martin Trace forms of dyadic number fields. 92m:11134 
Helou, Charles On the ramification breaks. 92g:11114 


Items with secondary classifications in 11S15 

Barrucand, Pierre see Kientega, Gérard, 92e:11113 

Burns, David J. Factorisability and wildly ramified Galois extensions. (French summary) 
92m:11135 

Dragovi¢, Branko G. On signature change in p-adic space-times. 92f:81017 

Ferrero, Miguel A. (with Paques, Antonio; Solecki, Andrzej) On Z,-extensions of 
commutative rings. 92g:13006 

Kientega, Gérard (with Barrucand, Pierre) On quartic fields with the symmetric group. 
92e:11113 

Komatsu, Kenz6 On the Galois group of x? + ax +a=0. 92e:11127 

Paques, Antonio see Ferrero, Miguel A.; et al., 92g:13006 

Rozanova, E. A. p-adic estimates for linear forms and polynomials for power series of a 
certain class. (Russian) 92f:11170 

Sekiguchi, Tsutomu (with Suwa, Noriyuki) Théorie de Kummer-Artin-Schreier. (English 
summary) [Kummer-Artin-Schreier theory] 92f:14045 

Solecki, Andrzej see Ferrero, Miguel A.; et al., 92g:13006 

Suwa, Noriyuki see Sekiguchi, Tsutomu, 92f:14045 

Zhukov, I. B. Abelian p-extensions of an absolutely unramified field. (Russian) 92k:11124 


11820 Galois theory 


Jarden, Moshe (with Ritter, Jurgen) The Frattini subgroup of the absolute Galois group of 
a local field. 92j:11140 
Ritter, Jiirgen see Jarden, Moshe, 92j:11140 


Items with secondary classifications in 11S20 

Cram, G.-Martin Primitive local Galois representations: an example. 92¢:11136 

Efrat, Ido Absolute Galois groups of p-adically maximal PpC fields. 92g:12005 

Ishkhanov, V. V. (with Lur’e, B. B.) An embedding problem with a nonabelian kernel of 
order p*. (Russian) 92c:11124 

— (with Lur’e, B. B.) An embedding problem for number fields with a noncommutative 
kernel of order p*. (Russian) 92a:11135 

Lar, B. B. see Ishkhanov, V. V., 92a:11135 and 92c:11124 

Miyake, Katsuya A fundamental theorem on p-extensions of algebraic number fields. 
92a:11125 


11S23 Integral representations 

Burns, David J. Factorisability and wildly ramified Galois extensions. (French summary) 
92m:11135 

Byott, Nigel On Galois isomorphisms between ideals in extensions of local fields. 
92g:11115 

— Some self-dual local rings of integers not free over their associated orders. 92d:11128 

Fontaine, Jean-Marc Représentations p-adiques des corps locaux. I. [p-adic representations 
of local fields. I] 92i:11125 


Items with secondary classifications in 11S23 

Benua, D. G. (with Vostokov, S. V.) Norm pairing in formal groups and Galois representa- 
tions. (Russian) 92j:11141 

Vostokov, S. V. see Benua, D. G., 92j:11141 


11825 Galois cohomology [see also 12Gxx, 16H05] 


Parshin, A. N. Galois cohomology and the Brauer group of local fields. (Russian) 
92¢:11136 


Items with secondary classifications in 11S25 

Flach, Matthias A generalisation of the Cassels-Tate pairing. 92b:11037 

Jones, John William On the local norm map for abelian varieties with good ordinary 
reduction. 92d:11062 

Kunyavskii, B. E. On the Hasse norm principle. (Russian) 92e:11130 


11831 Class field theory; p-adic formal groups [see also 14L05] 


Benua, D. G. (with Vostokov, S. V.) Norm pairing in formal groups and Galois representa- 
tions. (Russian) 92j:11141 

— Construction of Shafarevich functions of a formal group. (Russian. English summary) 
92h:11102 

— (with Vostokov, S. V.) Arithmetic of the group of points of a formal group. (Russian) 
92i:11126 

Fesenko, I. B. On class field theory of multidimensional local fields of positive characteris- 
tic. 92f:11167 

Sueyoshi, Yutaka Explicit reciprocity laws on relative Lubin-Tate groups. 92a:11146 

Vostokov, S. V. An elementary abelian p-extension of a multidimensional local field. 
(Russian) 92¢:11137 

— see also Benua, D. G., 92i:11126 and 92j:11141 


Items with secondary classifications in 11S31 
Fesenko, I. B. A multidimensional local theory of class fields. (Russian) 92h:19008 


11S Algebraic number theory: local and p-adic fields 


11870 


Hanke, Klaus Ulrich (with Wahling, Heinz) Konstruktion lokalkompakter Fastkérper. 
(English summary) [Construction of locally compact néarfields] 92b:12017 

Stern, Leonid On the equality of norm groups of global fields. 92e:11116 

Wahling, Heinz see Hanke, Klaus Ulrich, 92b:12017 


11S37 Langlands-Weil conjectures, nonabelian class field theory 
[see also 11F xx, 22E50] 


Bushnell, Colin J. Gauss sums and local constants for GL(N). 92c:11138 

Genestier, Alain Irréductibilité du revétement de Drinfel’d. (English summary) [Irreducibil- 
ity of the Drinfel’d covering] 92f:11168 

Reimann, Harry Representations of tamely ramified p-adic division and matrix algebras. 
92h:11103 


Items with secondary classifications in 11$37 


Cram, G.-Martin Primitive local Galois representations: an example. 92e:11136 

Joyner, David On twisted orbital integral identities for PGL(3) over a p-adic field. 
92d:22026 

Kazhdan, David The minimal representation of D,. 92i:22015 

Kutzko, Philip (with Manderscheid, David) Erratum: “On the supercuspidal representa- 
tions of GLy, N the product of two primes” [Ann. Sci. Ecole Norm. Sup. (4) 23 (1990), 
no. 1, 39-88; MR 91b:22025]. 92b:22014 

— (with Pantoja, José E.) The restriction to SL2 of a supercuspidal representation of GL». 
92d:22027 

Langlands, Robert P. (with Shelstad, D.) Descent for transfer factors. 92i:22016 

Manderscheid, David see Kutzko, Philip, 92b:22014 

Pantoja, José E. see Kutzko, Philip, 92d:22027 

Shelstad, D. see Langlands, Robert P., 92i:22016 


11840 Zeta functions and L-functions [see also 11M41, 19F27] 


Hosokawa, Hiroshi The Igusa local zeta function associated with the nonregular irreducible 
prehomogeneous vector space. 92g:11116 

Kimura, Tatsuo (with Kogiso, Takeyoshi) On adelic zeta distributions associated to certain 
regular prehomogeneous vector spaces. (Japanese) 92e:11137 

Kogiso, Takeyoshi see Kimura, Tatsuo, 92e:11137 

Loeser, Francois Fonctions d’Igusa p-adiques, polynémes de Bernstein, et polyédres 
de Newton. [p-adic Igusa functions, Bernstein polynomials and Newton polyhedra] 
92¢:11139 

Macintyre, Angus Rationality of p-adic Poincaré series: uniformity in p. 92b:11085 

Meuser, Diane On a functional equation of Igusa’s local zeta function. 92e:11138 

Pas, Johan Local zeta functions and Meuser’s invariant functions. 92h:11104 

Veys, W. On the poles of Igusa’s local zeta function for curves. 92j:11142 


Items with secondary classifications in 11S40 

Adolphson, Alan (with Sperber, Steven) p-adic estimates for exponential sums. 92d:11086 

Bayer, Pilar (with Frey, Gerhard) Galois representations of octahedral type and 2-coverings 
of elliptic curves. 92d:11058 

Chellali, Mustapha Congruences entre nombres de Bernoulli-Hurwitz dans le cas super- 
singulier. [Congruences between Bernoulli-Hurwitz numbers in the supersingular case] 
92£:11079 

Frey, Gerhard see Bayer, Pilar, 92d:11058 

Ishikawa, Tsuneo Super congruence for the Apéry numbers. 92d:11002 

Murase, Atsushi L-functions attached to Jacobi forms of degree n. II. Functional equation. 
92h:11038 

Ochiai, Hiroyuki see Saté, Fumihiro, 92j:11095 

Panchishkin, A. A. Non-Archimedean zeta functions that are connected with automorphic 
forms. (Russian) 92f:11075 

Sat, Fumihiro (with Ochiai, Hiroyuki) Castling transforms of prehomogeneous vector 
spaces and functional equations. 92j:11095 

Solomon, David On the classgroups of imaginary abelian fields. (French summary) 
92a:11133 

Sperber, Steven see Adolphson, Alan, 92d:11086 


11845 Algebras and orders, and their zeta functions 
[see also 11R52, 11R54, 16H05, 16Kxx] 


Denert, Marleen Solomon’s second conjecture: a proof for local hereditary orders in central 
simple algebras. 92f:11169 

Koch, Helmut V. Eisenstein polynomial sequences and conjugacy classes of division 
algebras over local fields. 92j:11143 


Items with secondary classifications in 11845 

Byott, Nigel Some self-dual local rings of integers not free over their associated orders. 
92d:11128 

Hoechsmann, Klaus (with Ritter, Jirgen) The Artin-Hasse power series and p-adic group 
rings. 92g:16038 

Kutzko, Philip (with Manderscheid, David) Erratum: “On the supercuspidal representa- 
tions of GLy, N the product of two primes” [Ann. Sci. Ecole Norm. Sup. (4) 23 (1990), 
no. 1, 39-88; MR 91b:22025]. 92b:22014 

Manderscheid, David see Kutzko, Philip, 92b:22014 

Ritter, Jirgen see Hoechsmann, Klaus, 92g:16038 


11S70 K-theory of local fields [see also 19F xx] 


Bogomolov, R. A. On the torsion of higher Milnor K-groups of multidimensional local fields 
“in the characteristic” of the latter residue field. (Russian) 92k:11137 





11870 


Items with secondary classifications in 11870 


Vostokov, S. V. An elementary abelian p-extension of a multidimensional local field. 
(Russian) 92c:11137 


11880 Other analytic theory (analogues of beta and gamma 
functions, p-adic integration, etc.) 

Bézivin, Jean-Paul (with Laohakosol, Vichian) On the theorem of Skolem-Mahler-Lech. 
92c:11140 

Jiang, Hui Kun see Zheng, Wei Xing; et al., 92b:11087 

Laohakosol, Vichian see Bézivin, Jean-Paul, 92c:11140 

Rozanova, E. A. p-adic estimates for linear forms and polynomials for power series of a 
certain class. (Russian) 92f:11170 

Rutkowski, Jerzy On a p-adic analogue of the Legendre system. 92h:11105 

Su, Wei Yi see Zheng, Wei Xing; et al., 92b:11087 

Van Hamme, Lucien Three generalizations of Mahler’s expansion for continuous functions 
on Zy. 92b:11086 

Zheng, Wei Xing (with Su, Wei Yi; Jiang, Hui Kun) A note to the concept of derivatives on 
local fields. 92b:11087 


Items with secondary classifications in 11S80 


Bikulov, A. Kh. Investigation of a p-adic Green function. (Russian. English summary) 
92g:81202 

Coleman, Robert F. Anderson-Ihara theory: Gauss sums and circular units. 92f:11159 

Dwork, Bernard * Generalized hypergeometric functions. 92h:14006 

Goss, David A formal Mellin transform in the arithmetic of function fields. 92a:11144 

Grossman, Bernard Arithmetic directions in topological quantum field theory and strings. 
(see 92£:81008) 

Ha Huy Khodi La hauteur des fonctions holomorphes p-adiques de plusieurs variables. 
(English summary) [Height for p-adic holomorphic functions of several variables] 
92£:32059 

Khrennikov, A. Yu. p-adic quantum mechanics with p-adic valued functions. 92a:81046 

Kochubei, A. N. An operator of Schrédinger type over the p-adic number field. (Russian. 
English summary) 92¢:47082 

Lerner, E. Yu. (with Missarov, M. D.) p-adic conformal invariance and the Bruhat-Tits 
tree. 92i:81293 

Missarov, M. D. Renormalization group and renormalization theory in p-adic and adelic 
scalar models. 92h:81108 

— see also Lerner, E. Yu., 92i:81293 

Ubriaco, Marcelo R. Field quantization in non-Archimedean field theory. 92¢:81274 

Viadimirov, V.S. On the spectrum of some pseudodifferential operators over the field of p- 
adic numbers. (Russian) 92g:47104 

Young, Paul Thomas Radii of convergence and index for p-adic differential operators. 
92m:12015 

Zelenov, E.1. p-adic path integrals. 92a:81104 

— p-adic quantum mechanics and coherent states. (Russian. English summary) 92¢:81054 

— p-adic quantum mechanics and coherent states. II. Oscillator eigenfunctions. (Russian. 
English summary) 92¢:81055 


11885 Other nonanalytic theory 


Chalk, J. H. H. A p-adic approach to solutions of a polynomial congruence modulo p*. 
92h:11106 

Khrennikov, A. Yu. Real non-Archimedean structure of space-time. (Russian. English 
summary) 92m:11136 

Tilborghs, Francis Periodic p-adic continued fractions. 92e:11139 


Items with secondary classifications in 11S85 

Aref'eva, I. Ya. (with Dragovi¢, Branko G.; Frampton, Paul H.; Volovich, I. V.) The wave 
function of the universe and p-adic gravity. 92h:83032 

Chekhov, L. (with Zinov’ev, Yu. M.) p-adic string compactified on a torus. 92a:81139 

Czogala, Alfred On reciprocity equivalence of quadratic number fields. 92h:11090 

Diarra, Bertin Remarques sur les matrices orthogonales [resp. symétriques] 4 coefficients 
p-adiques. [Remarks on orthogonal [resp. symmetric] matrices with p-adic coefficients] 
92:11040 

Dragovi¢, Branko G. On signature change in p-adic space-times. 92f:81017 

— see also Arefeva, I. Ya.; et al., 92h:83032 

Fadeev, S. B. (with Ivashchuk, V. D.; Mel/nikov, V. N.) On black holes in multidimensional 
theory with Ricci-flat internal spaces. 92m:83071 

Frampton, Paul H. Status of p-adic strings. (see 92m:81226) 

— see also Aref'eva, I. Ya.; et al., 92h:83032 

Freund, Peter G.O. Arithmetic ideas in string theory. (see 92m:81226) 

— Scattering on p-adic and on adelic symmetric spaces. 92h:81190 

Ivashchuk, V. D. see Fadeev, S. B.; et al., 92m:83071 

Lacio, J. L. (with Meurice, Yannick) Asymptotic properties of random walks on p-adic 
spaces. 92g:81115 

Melnikov, V.N. see Fadeev, S. B.; et al., 92m:83071 

Meurice, Yannick Quantum mechanics with p-adic numbers for p-edestrians. 92e:81049 

— A discretization of p-adic quantum mechanics. 924:81040 

— see also Lucio, J. L., 92g:81115 

Missarov, M. D. Adelic g4-theory. 92h:81089 

Rozanova, E. A. p-adic estimates for linear forms and polynomials for power series of a 
certain class. (Russian) 92f:11170 

Smirnov, Vladimir Aleksandrovich? Renormalization in p-adic quantum field theory. 
92i:81194 

Spokoinyi, B. L. On the geometrical sense of p-adic strings. (see 92m:81226) 

Srinivasan, V. K. Steinhaus theorem in summability for p-adic fields. 92m:40013 

Viadimirov, V.S. An application of p-adic numbers in quantum mechanics. 92d:81041 

Volovich, I. V. see Aref'eva, I. Ya.; et al., 92h:83032 


NUMBER THEORY 


Wowk, Czestaw Simple roots of polynomials. 92j:11023 
Zinov'ev, Yu. M. see Chekhov, L., 92a:81139 


11899 None of the above, but in this section 


Items with secondary classifications in 11S99 

Dragomir, Sever Silvestru On an inequality of Tiberiu Popoviciu. I. (see 90m:41003) 

Freund, Peter G.O. Arithmetic features of 2-D strings. 92m:81243 

Khalin, V.G. Cyclic algebras over a multidimensional local field. (Russian) 92d:12004 

Smirnov, Vladimir Aleksandrovich? Divergences and renormalization in p-adic quantum 
field theory. (Russian) 92e:81157 


11Txx Finite fields and commutative rings (number- 
theoretic aspects) 
Shparlinskii, I. E. Some problems in the theory of finite fields. (Russian) 92c:11141 


11T06 Polynomials 


Acosta-de-Orozco, Maria T. (with Gomez-Calderon, Javier) Polynomials with minimal 
value set over Galois rings. 92c:11142 

Bartocci, Umberto (with Vipera, Maria Cristina) On the Gauss-Lucas lemma in positive 
characteristic. (Italian summary) 92j:11144 

Beard, J. T. B., Jr. Perfect polynomials revisited. 92c:11143 

Bhargava, Vijay K. see Gulliver, T. Aaron; et al., 92i:11127 

Bremser, Priscilla S. (with Gomez-Calderon, Javier) Value sets of Dickson polynomials 
over Galois rings. 92f:11171 

Buck, Marshall W. (with Robbins, David P.) A functional version of Hilbert’s Theorem 90. 
92:11172 

Cohen, Stephen D. Permutation polynomials and primitive permutation groups. 92j:11145 

von zur Gathen, Joachim Values of polynomials over finite fields. 92b:11088 

— Tests for permutation polynomials. 92g:11117 

Gomez-Calderon, Javier see Acosta-de-Orozco, Maria T., 92c:11142 and Bremser, Priscilla 
S., 926:11171 

Gulliver, T. Aaron (with Serra, Micaela; Bhargava, Vijay K.) The generation of primitive 
polynomials in GF(q) with independent roots and their applications for power residue 
codes, VLSI testing and finite field multipliers using normal basis. 92i:11127 

Itoh, Toshiya Characterization for a family of infinitely many irreducible equally spaced 
polynomials. 92d:11129 

Knopfmacher, Arnold The length of the continued fraction expansion for a class of rational 
functions in F,(X). 92c:11144 

Kuz'min, E. N. A class of irreducible polynomials over a finite field. (Russian) 92g:11118 

Li, Yong Galois fields and computation. (Chinese. English summary) 92m:11137 

Lidl, Rudolf see Wan, Da Qing, 92g:11119 

Mallen, Gary L. Dickson polynomials over finite fields. 92c:11145 

— Dickson polynomials over finite fields. 92¢:11146 

Niederreiter, Harald Finite fields and their applications. 92j:11146 

Odoni, R. W. K. Zeros of random polynomials over finite fields. 92m:11138 

van Oorschot, Paul C. (with Vanstone, Scott A.) Some geometric aspects of root finding in 
GF(q™). 92h:11107 

Robbins, David P. see Buck, Marshall W., 92f:11172 

Serra, Micaela see Gulliver, T. Aaron; et al., 92i:11127 

Shoup, Victor Searching for primitive roots in finite fields. 92e:11140 

Turnwald, Gerhard Permutation polynomials of binomial type. 92e:11141 

Vanstone, Scott A. see van Oorschot, Paul C., 92h:11107 

Vipera, Maria Cristina see Bartocci, Umberto, 92j:11144 

Wan, Da Qing (with Lidl, Rudolf) Permutation polynomials of the form x’ f(x-")/4) and 
their group structure. 92g:11119 


Items with secondary classifications in 11T06 

Gitz, Werner see Meyn, Helmut, 92k:11141 

Itoh, Toshiya Characterization for a family of infinitely many irreducible equally spaced 
polynomials. 92f:11175 

Lenstra, Hendrik W., Jr. Algorithms for finite fields. 92b:11091 

Lewittes, Joseph On certain g-polynomials. 92g:12004 

Meyn, Helmut (with Gétz, Werner) Self-reciprocal polynomials over finite fields. 
92k:11141 

Namba, Kanji Legendre polynomial over finite fields and factorization of integers. 
92j:11056 

Shoup, Victor Smoothness and factoring polynomials over finite fields. 92f:11178 

Suchower, Stephan J. Subfield permutation polynomials and orthogonal subfield systems in 
finite fields. 92¢:11147 

Suetugu, Yasunori see Sugimura, Tatsuo, 92j:11147 

Sugimura, Tatsuo (with Suetugu, Yasunori) Considerations on irreducible cyclotomic 
polynomials. 92j:11147 


11T22 Cyclotomy 


Suetugu, Yasunori see Sugimura, Tatsuo, 92j:11147 

Sugimura, Tatsuo (with Suetugu, Yasunori) Considerations on irreducible cyclotomic 
polynomials. 92j:11147 

Items with secondary classifications in 11T22Z 

Lehmer, D. H. Matrix paraphrases. 92g:15041 


11T23 Exponential sums 


Cherly, Jorgen Sommes d’exponentielles cubiques dans l’anneau des polynémes en 
une variable sur le corps a 2 éléments, et application au probleme de Waring. [Cubic 





209 1992 


exponential sums in the ring of polynomials in one variable over the 2-element field, and 
application to Waring’s problem] 92m:11139 


Items with secondary classifications in 11T23 


Adolphson, Alan (with Sperber, Steven) Exponential sums on (G,,)". 92¢:11083 

Alon, Noga (with Linial, Nathan; Meshulam, Roy) Additive bases of vector spaces over 
prime fields. 92k:11138 

Duke, W. On multiple Salié sums. 92f:11113 

Linial, Nathan see Alon, Noga; et al., 92k:11138 

Meshulam, Roy see Alon, Noga; et al., 92k:11138 

Sperber, Steven see Adolphson, Alan, 92c:11083 


11T24 Other character sums and Gauss sums 


Perel/muter, G. I. Incomplete Gaussian sums in finite fields. (Russian) 92f:11173 

Sidel/nikov, V. M. Estimates for the number of appearances of elements on an interval of a 
recurrent sequence over a finite field. (Russian) 92h:11108 

Stepanov, S. A. Lower bounds on character sums over finite fields. (Russian) 92h:11109 

Suchower, Stephan J. Subfield permutation polynomials and orthogonal subfield systems in 
finite fields. 92c:11147 

Wang, Jun On the Jacobi sums modulo P". 92g:11120 


Items with secondary classifications in 11T24 


Anderson, Greg W. A short proof of Selberg’s generalized beta formula. 92j:33006 

Chang, Yan Xun (with Kang, Qing De) A representation of nonzero elements in finite field. 
92m:11140 

Coleman, Robert F. Anderson-Ihara theory: Gauss sums and circular units. 92f:11159 

Evans, Ronald J. A character sum for root system G2. 92f:11114 

Kang, Qing De see Chang, Yan Xun; et al., 92m:11140 

Kuz'min, E. N. A class of irreducible polynomials over a finite field. (Russian) 92g:11118 

Rubin, Karl Kolyvagin’s system of Gauss sums. 92a:11121 

Thakur, Dinesh S. Gauss sums for function fields. 92a:11145 

Wang, Jun Orders and norms of primitive roots of the second type in finite fields. (Chinese) 
92i:11129 


11T30 Structure theory 


Alon, Noga (with Tarsi, Michael) A nowhere-zero point in linear mappings. 92a:11147 

— (with Linial, Nathan; Meshulam, Roy) Additive bases of vector spaces over prime fields. 
92k:11138 

Bender, Edward A. (with Coley, Raymond; Robbins, David P.; Rumsey, Howard, Jr.) 
Enumeration of subspaces by dimension sequence. 92k:11139 

Chang, Yan Xun (with Kang, Qing De) A representation of nonzero elements in finite field. 
92m:11140 

Coley, Raymond see Bender, Edward A.,; et al., 92k:11139 

Dress, Andreas W. M. (with Siebeneicher, Christian) On the number of solutions of certain 
linear Diophantine equations. 92a:11148 

von zur Gathen, Joachim (with Giesbrecht, Mark) Constructing normal bases in finite fields. 
92e:11142 

Giesbrecht, Mark see von zur Gathen, Joachim, 92e:11142 

Gomez-Calderon, Javier Lifting solutions over Galois rings. 92k:11140 

Gétz, Werner see Meyn, Helmut, 92k:11141 

Kang, Qing De see Chang, Yan Xun; et al., 92m:11140 

Lempel, Abraham (with Seroussi, Gadiel) Explicit formulas for self-complementary normal 
bases in certain finite fields. 92¢:11148 

Linial, Nathan see Alon, Noga; et al., 92k:11138 

Meshulam, Roy see Alon, Noga; et al., 92k:11138 

Meyn, Helmut (with Gétz, Werner) Self-reciprocal polynomials over finite fields. 
92k:11141 

Pott, Alexander On the complexity of normal bases. 92k:11142 

Poulakis, Dimitrios On the homomorphisms of a family of finite rings. 92d:11130 

Robbins, David P. see Bender, Edward A.; et al., 92k:11139 

Rumsey, Howard, Jr. see Bender, Edward A.; et al., 92k:11139 

Seroussi, Gadiel see Lempel, Abraham, 92c:11148 

Siebeneicher, Christian see Dress, Andreas W. M., 92a:11148 

Sun, Qi The fixed-point problem for permutation polynomials x*. (Chinese. English 
summary) 92i:11128 

Sun, Zong Ming The equations x? = d and ax”4 + bx? + c = 0 over the field of p* elements. 
(Chinese. English summary) 92h:11110 

Tarsi, Michael see Alon, Noga, 92a:11147 

Wang, Jun Orders and norms of primitive roots of the second type in finite fields. (Chinese) 
92i:11129 

Yu, Shu Xia Degrees of B, over GF(p). (Chinese) 92f:11174 


Items with secondary classifications in 11T30 
Silva, Fernando C. Matrices with nonzero entries. 92a:15018 


11T55 Arithmetic theory of polynomial rings over finite fields 


Wang, Jun Primitive solutions to a linear equation in a finite field. (Chinese. English 
summary) 92g:11121 


Items with secondary classifications in 11T55 


Chapman, R. J. Carlitz modules and normal integral bases. 92j:11129 

Cherly, Jorgen Sommes d’exponentielles cubiques dans |’anneau des polynémes en 
une variable sur le corps a 2 éléments, et application au probléme de Waring. [Cubic 
exponential sums in the ring of polynomials in one variable over the 2-element field, and 
application to Waring’s problem] 92m:11139 

Clement, Rosario The genus field of an algebraic function field. 92k:11133 


11T Finite fields and commutative rings (number-theoretic aspects) 


11T71 


Damamme, G. (with Hellegouarch, Yves) Transcendence of the values of the Carlitz zeta 
function by Wade’s method. 92h:11100 

Effinger, Gove W. (with Hayes, David R.) * Additive number theory of polynomials over a 
finite field. 92k:11103 

Gonzalez, Cristian D. Class numbers of quadratic function fields and continued fractions. 
92k:11134 

Goss, David A formal Mellin transform in the arithmetic of function fields. 92a:11144 

Hayes, David R. see Effinger, Gove W., 92k:11103 

Hellegouarch, Yves Un analogue d’un théoréme d’Euler. (English summary) [An analogue 
of a theorem of Euler] 92f:11036 

— see also Damamme, G., 92h:11100 

Lenstra, Hendrik W., Jr. Algorithms for finite fields. 92b:11091 

Okada, Shozo Kummer’s theory for function fields. 92e:11134 

Thakur, Dinesh S. Gross-Koblitz formula for function fields. 92b:11083 

Yu, Jing Transcendence and special zeta values in characteristic p. 92g:11075 


11T71 Algebraic coding theory; cryptography 


Augot, Daniel (with Charpin, Pascale; Sendrier, Nicolas) Sur une classe de polynémes 
scindés de l’algébre F2»[Z]. (English summary) [On a class of F2«[Z] polynomials that 
split in Fy] 92e:11143 

Bach, Eric Intractable problems in number theory. 92a:11149 

Buchmann, Johannes A. (with Diillmann, Stephan; Williams, Hugh Cowie) On the 
complexity and efficiency of a new key exchange system. 92a:11150 

Charpin, Pascale see Augot, Daniel; et al., 92e:11143 

Diillmann, Stephan see Buchmann, Johannes A.; et al., 92a:11150 

van der Geer, Gerard Codes and elliptic curves. 92d:11131 

Gomez-Calderon, Javier (with Mullen, Gary L.) Galois rings and algebraic cryptography. 
92m:11141 

Itoh, Toshiya Characterization for a family of infinitely many irreducible equally spaced 
polynomials. 92f:11175 

LaMacchia, B. A. (with Odlyzko, Andrew M.) Computation of discrete logarithms in prime 
fields. 92j:11148 

McCarley, Kevin S. Odds and ends from cryptology and computational number theory. 
92j:11149 

Mallen, Gary L. see Gomez-Calderon, Javier, 92m:11141 

Niederreiter, Harald A combinatorial problem for vector spaces over finite fields. 92j:11150 

Odlyzko, Andrew M. see LaMacchia, B. A., 92j:11148 

Opolka, Hans Geometry of the finite Fourier transform. 92c:11149 

Sendrier, Nicolas see Augot, Daniel; et al., 92e:11143 

Williams, Hugh Cowie see Buchmann, Johannes A.; et al., 92a:11150 


Items with secondary classifications in 11T71 


van den Akker, J. M. (with Koolen, J. H.; Vaessens, R. J. M.) Addendum: “Perfect codes 
with distinct protective radii” [Discrete Math. 81 (1990), no. 1, 103-109; MR 91c:94027]. 

Buchmann, Johannes A. (with Williams, Hugh Cowie) Quadratic fields and cryptography. 
92a:11153 

— Number-theoretic algorithms and cryptology. (see 92g:68007) 

Carral, M. (with Rotillon, D.; Thiong Ly, Jean-Augustin) Codes defined from some 
maximal curves. 

Costello, Daniel J., Jr. see Wu, Jiantian 

Dahl, Carsten (with Pedersen, Jens P.) Cyclic and pseudo-cyclic MDS codes of length 
q+. 92k:94026 

Filipponi, Piero (with Montolivo, Emilio) Representation of natural numbers as sums of 
Fibonacci numbers: an application to modern cryptography. 92k:94016 

van der Geer, Gerard (with van der Vlugt, Marcel) Artin-Schreier curves and codes. 
92i:14020 

— (with van der Vlugt, Marcel) Kloosterman sums and the p-torsion of certain Jacobians. 
92m:11058 

Goldwasser, Shafi The search for provably secure cryptosystems. 92k:94018 

Kaliski, Burton S., Jr. One-way permutations on elliptic curves. 92j:11054 

Koblitz, Neal Jacobi sums, irreducible zeta-polynomials, and cryptography. 92e:11067 

Koolen, J. H. see van den Akker, J. M.; et al. 

Lachaud, Gilles (with Wolfmann, Jacques) The weights of the orthogonals of the extended 
quadratic binary Goppa codes. 92b:94040 

Lagarias, Jeffrey C. Pseudorandom number generators in cryptography and number theory. 
92:11109 

Leonard, Douglas A. Linear cyclic codes of wordlength v over GF(q°) which are also linear 
cyclic codes of wordlength sv over GF(q). 92m:94018 

Lépez Fernandez-Asenjo, Félix (with Tena Ayuso, Juan) * Introduccién a la teoria de 
numeros primos. (Spanish) [Introduction to the theory of prime numbers] 92g:11001 

McCurley, Kevin S. Cryptographic key distribution and computation in class groups. 
92e:11149 

— The discrete logarithm problem. 92d:11133 

Montolivo, Emilio see Filipponi, Piero, 92k:94016 

Moreno, Carlos Julio * Algebraic curves over finite fields. 92d:11066 

Odlyzko, Andrew M. The rise and fall of knapsack cryptosystems. 92f:94016 

Pedersen, Jens P. see Dahl, Carsten, 92k:94026 

Pomerance, Carl Cryptology and computational number theory—an introduction. 
92e:94023 


Quebbemann, H.-G. On even codes. 92m:94022 

— A note on lattices of rational functions. 92i:11069 

Rotillon, D. see Carral, M.; et al., 92e:94027 

Schoof, René (with van der Vlugt, Marcel) Hecke operators and the weight distributions of 
certain codes. 92g:34017 

Sidel‘nikov, V.M. Estimates for the number of appearances of elements on an interval of a 
recurrent sequence over a finite field. (Russian) 92h:11108 

Stichtenoth, Henning On automorphisms of geometric Goppa codes. 92c:94006 

Tena Ayuso, Juan see Lépez Fernandez-Asenjo, Félix, 92g:11001 

Thiong Ly, Jean-Augustin see Carral, M.; et al., 92e:94027 








11T71 


Tsfasman, M. A. Global fields, codes and sphere packings. 92j:11063 

Vaessens, R. J. M. see van den Akker, J. M.; et al. 

van der Viugt, Marcel see Schoof, René, 92g:94017; van der Geer, Gerard, 92i:14020 and 
92m:11058 

van Wee, Gerhard J. M. * Covering codes, perfect codes, and codes from algebraic curves. 
92k:94029 

Williams, Hugh Cowie see Buchmann, Johannes A., 92a:11153 

Wolfmann, Jacques see Lachaud, Gilles, 92b:94040 

Wa, Jiantian (with Costello, Daniel J., Jr.) New multilevel codes over GF(q). 

Xing, Chao Ping Hyperelliptic function fields and codes. 92g:11060 


11T99 None of the above, but in this section 


Chen, Dong Sheng (with Wan, Zhe Xian) The characteristic polynomial of a geometric 
lattice in symplectic geometry over finite fields. 92m:11142 

Goh, William M. Y. (with Schmutz, Eric) A central limit theorem on GL,(F,). 92f:11176 

Schmutz, Eric see Goh, William M. Y., 92f:11176 

Wan, Zhe Xian see Chen, Dong Sheng; et al., 92m:11142 


Items with secondary classifications in 11T99 

Chen, Dong Sheng (with Wan, Zhe Xian) The characteristic polynomial of a geometric 
lattice in symplectic geometry over finite fields. 92m:51002 

Kikumasa, Isao (with Nagahara, Takasi) Primitive elements of Galois extensions of finite 
fields. 92i:12006 

Knopfmacher, John Normality of product expansions of power series over finite fields. 
92m:11075 

Mousouris, Nick see Porter, A. Duane, 92h:15011 

Nagahara, Takasi see Kikumasa, Isao, 92i:12006 

Nyberg, Kaisa Constructions of bent functions and difference sets. (see 92b:68003) 

Porter, A. Duane (with Mousouris, Nick) Ranked Hermitian matrix equations. 92h:15011 

Rivero, Francisco GL,-orbits of minimal functions over finite fields. 92a:12008 

Rzedowski Calderén, Martha Construction of global function fields with nilpotent 
automorphism groups. 92j:12009 

Wan, Zhe Xian see Chen, Dong Sheng; et al., 92m:51002 


11Uxx Connections with logic 


Items with secondary classifications in 11Uxx 
Smoryiski, Craig * Logical number theory. I. 92g:03001 


11U05 Decidability [see also 03B25} 


van den Dries, Lou (with Macintyre, Angus) The logic of Rumely’s local-global principle. 
92e:11144 

Macintyre, Angus see van den Dries, Lou, 92e:11144 

Pheidas, Thanases Hilbert’s tenth problem for fields of rational functions over finite fields. 
92e:11145 

Shlapentokh, Alexandra Diophantine definitions for some polynomial rings. 92c:11150 

— A Diophantine definition of integers in the rings of rational numbers. 92m:11143 

— Hilbert’s tenth problem for rings of algebraic functions in one variable over fields of 
constants of positive characteristic. 92m:11144 


Items with secondary classifications in 11U05 

da Costa, Newton C. A. (with Doria, F. A.) Undecidability and incompleteness in classical 
mechanics. 92h:03065 

Doria, F. A. see da Costa, Newton C. A., 92h:03065 

Jones, James P. Basis for the Kalmar elementary functions. 92k:03017 

Macintyre, Angus Schanuel’s conjecture and free exponential rings. 92d:11071 

Matiyasevich, Yu. V. The Riemann hypothesis from a logician’s point of view. 92f:11119 

Sanchez-Mazas, Miguel Errata: “Identification and analysis of equivalence classes of modal 
logic by numerical invariants” [Logique et Anal. (N.S.) 30 (1987), no. 120, 401-439; MR 
90m:03025]. (French) 92a:03015 

Shanks, Daniel Euclid’s primes. 92f:11013 


11U09 Model theory [see also 03Cxx] 


Levy, Ronnie (with Loustaunau, Philippe; Shapiro, Jay) The prime spectrum of an infinite 
product of copies of Z. 92i:11130 

Loustaunau, Philippe see Levy, Ronnie; et al., 92i:11130 

Shapiro, Jay see Levy, Ronnie; et al., 92i:11130 


Items with secondary classifications in 11U09 


van den Dries, Lou A remark on Ax’s theorem on solvability modulo primes. 92j:12005 

Macintyre, Angus Rationality of p-adic Poincaré series: uniformity in p. 92b:11085 

Pas, Johan Local zeta functions and Meuser’s invariant functions. 92h:11104 

Prestel, A. (with Schmid, Joachim) Existentially closed domains with radical relations: an 
axiomatization of the ring of algebraic integers. 92c:12014 

— (with Schmid, Joachim) Decidability of the rings of real algebraic and p-adic algebraic 
integers. 92k:03005 

Richard, Denis Equivalence of some questions in mathematical logic with some conjectures 
in number theory. 92i:03043 

Schmid, Joachim see Prestel, A., 92c:12014 and 92k:03005 

Sikié, Zvonimir On Devidé’s axiomatization of natural numbers. 92m:03092 


11U10 Nonstandard arithmetic [see also 03H15] 


Chatzidakis, Zoé On the cohomological dimension of nonstandard number fields. 
92j:11151 


NUMBER THEORY 


Items with secondary classifications in 11U10 

Levy, Ronnie (with Loustaunau, Philippe; Shapiro, Jay) The prime spectrum of an infinite 
product of copies of Z. 92i:11130 

Loustaunau, Philippe see Levy, Ronnie; et al., 92i:11130 

Robert, Alain Michel The Siegel theorem on Diophantine equations. 92k:11065 

Shapiro, Jay see Levy, Ronnie; et al., 92i:11130 


11U99 None of the above, but in this section 


Items with secondary classifications in 11U99 

Berarducci, Alessandro (with Intrigila, Benedetto) Combinatorial principles in elementary 
number theory. 92j:03051 

Intrigila, Benedetto see Berarducci, Alessandro, 92j:03051 

Quaife, Art Unsolved problems in elementary number theory. 92¢:68173 


11Yxx Computational number theory [see also 11-04] 


Chudnovsky, David V. (with Chudnovsky, Gregory V.) Computer algebra in the service of 
mathematical physics and number theory. 92g:11122 

Chudnovsky, Gregory V. see Chudnovsky, David V., 92g:11122 

(Pethé, Attila) see Computational number theory, 92i:11131 

(Pohst, Michael E.) see Computational number theory, 92i:11131 

(Williams, Hugh Cowie) see Computational number theory, 92i:11131 

(Zimmer, Horst Ginter) see Computational number theory, 92i:11131 


Items listed otherwise than by author 
Colloquium: 

Computational Number Theory * Computational number theory. 92i:11131 
Computational number theory * Computational number theory. 92i:11131 
Debrecen * Computational number theory. 92i:11131 


Items with secondary classifications in 11Yxx 

Bruce, J. W. (with Giblin, P. J.; Rippon, P. J.) * Microcomputers and mathematics. 
92a:65004 

Giblin, P. J. see Bruce, J. W.; et al., 92a:65004 

Rippon, P. J. see Bruce, J. W.; et al., 92a:65004 

Varga, Richard S. * Scientific computation on mathematical problems and conjectures. 
92b:65012 


11Y05 Factorization 


Bach, Eric Toward a theory of Pollard’s rho method. 92a:11151 

Lenstra, Arjen K. (with Manasse, Mark S.) Factoring with two large primes (extended 
abstract). (see 92b:68003) 

Lenstra, Hendrik W., Jr. (with Pomerance, Carl) A rigorous time bound for factoring 
integers. 92m:11145 

Lioen, Walter see te Riele, H. J. J.; et al., 92i:11132 

Manasse, Mark S. see Lenstra, Arjen K., (92b:68003) 

Pomerance, Carl Factoring. 92b:11089 

— see also Lenstra, Hendrik W., Jr., 92m:11145 

te Riele, H. J. J. (with Lioen, Walter; Winter, Dik) Factorization beyond the googol with 
MPQS on a single computer. 92i:11132 

Riesel, Hans Wie schnell kann man Zahlen in Faktoren zerlegen? [How fast can one factor 
numbers?] 92m:11146 

Silverman, Robert D. Massively distributed computing and factoring large integers. 
92j:11152 

Winter, Dik see te Riele, H. J. J.; et al., 92i:11132 


Items with secondary classifications in 11Y05 

Bach, Eric Intractable problems in number theory. 92a:11149 

Keller, Wilfrid Woher kommen die gr6éBten derzeit bekannten Primzahlen? [Whence come 
the largest presently known primes?] 92j:11006 

Landau, Susan Erratum: “Factoring polynomials over algebraic number fields” [SIAM J. 
Comput. 14 (1985), no. 1, 184-195; MR 86d:11102]. 92:11181 

Morain, Francois On the Icm of the differences of eight primes. 92a:11011a 

— Corrigenda: “On the Icm of the differences of eight primes”. 92a:11011b 

Shparlinskii, I. E. Some problems in the theory of finite fields. (Russian) 92c:11141 


11Y11 Primality 


Lenstra, Arjen K. Primality testing. 92g:11123 

Morain, Francois Distributed primality proving and the primality of (23599 + 1)/3. (see 
92b:68003) 

— Elliptic curves, primality proving and some titanic primes. 92m:11147 


Items with secondary classifications in 11Y11 


Bach, Eric Realistic analysis of some randomized algorithms. 92b:11090 

Erdés, Paul (with Pomerance, Carl; Schmutz, Eric) Carmichael’s lambda function. 
92g:11093 

Gordon, Daniel M. (with Pomerance, Carl) The distribution of Lucas and elliptic 
pseudoprimes. 92h:11081 

Henriques, J. Marques Some elementary questions associated with pseudoprimes and 
algorithms for determining them in APL. (Portuguese. English summary) (see 92m:00052) 

Keller, Wilfrid Woher kommen die gréBten derzeit bekannten Primzahlen? [Whence come 
the largest presently known primes?] 92j:11006 

Kilian, Joe * Uses of randomness in algorithms and protocols. 92¢:68050 

Pomerance, Carl see Erdés, Paul; et al., 92g:11093 and Gordon, Daniel M., 92h:11081 

Schmutz, Eric see Erdés, Paul; et al., 92g:11093 





211 1992 


11Y16 Algorithms; complexity [see also 68Q25] 


Abramov, S. A. (with Rybin, S. 1.) Generalization of a binary algorithm for calculating the 
greatest common divisor of prime numbers. (Russian) 92d:11132 

Bach, Eric Realistic analysis of some randomized algorithms. 92b:11090 

Chistov, A. L. An algorithm of polynomial complexity for factorization of polynomials over 
local fields. (Russian. English summary) 92e:11146 

Ferré, Ricardo Discrete convolution with modulo operations. 92g:11124 

Galil, Zvi (with Margalit, Oded) An almost linear-time algorithm for the dense subset-sum 
problem. 92k:11143 

Gashkov, S. B. The complexity of the approximate calculation of real numbers by means of 
schemes and formulas in various rational bases. (Russian) 92c:11151 

Gosper, R. Wm. LISP + calculus = identities. 92i:11133 

Karatsuba, E. A. Fast computation of transcendental functions. (Russian) 92f:11177 

Langemyr, Lars An asymptotically fast probabilistic algorithm for computing polynomial 
GCDs over an algebraic number field. 92e:11147 

Lenstra, Arjen K. (with Lenstra, Hendrik W., Jr.) Algorithms in number theory. (see 
92d:68001) 

Lenstra, Hendrik W., Jr. Algorithms for finite fields. 92b:11091 

— see also Lenstra, Arjen K., (92d:68001) 

Lovasz, Laészl6 A new approach to algorithmic mathematics. (Czech) 92a:11152 

Margalit, Oded see Galil, Zvi, 92k:11143 

McCurley, Kevin S. The di logarithm probl 92d:11133 

Meidanis, Joio Lower bounds for arithmetic problems. 92e:11148 

Mikhailyuk, M. V. Computational complexity of elementary symmetric functions in some 
rings. (Russian) 92m:11148 

(NeSettilovd, Helena) see Lovasz, Laszl6, 92a:11152 

Rybin, S. I. see Abramov, S. A., 92d:11132 

Shoup, Victor Smoothness and factoring polynomials over finite fields. 92f:11178 





Items with secondary classifications in 11Y16 

Ajtai, Miklés (with Iwaniec, Henryk; Komlés, Janos; Pintz, Janos; Szemerédi, Endre) 
Construction of a thin set with small Fourier coefficients. 92e:11010 

Antonyuk, P. N. (with Stanyukovich, K. P.) The logistic difference equation. Period 
doublings and Fermat numbers. (Russian) 92d:11019 

Beth, Thomas see Dai, Zong Duo; et al., (92b:68003) 

Buchmann, Johannes A. A subexponential algorithm for the determination of class groups 
and regulators of algebraic number fields. 92g:11125 

— Number-theoretic algorithms and cryptology. (see 92g:68007) 

— (with Williams, Hugh Cowie) Some remarks concerning the complexity of computing 
class groups of quadratic fields. 92g:11105 

Dai, Zong Duo (with Beth, Thomas; Gollmann, Dieter) Lower bounds for the linear 
complexity of sequences over residue rings. (see 92b:68003) 

Dorst, Leo see Smeulders, Arnold W. M., 92h:68088 

Dyer, Martin (with Frieze, Alan M.) The solution of some random NP-hard problems in 
polynomial expected time. 92e:68059 

Euchner, M. see Schnorr, C.-P., (92g:68007) 

Evertse, Jan-Hendrik (with van Heyst, Eugene) Which new RSA signatures can be 
computed from some given RSA signatures? (extended abstract). (see 92b:68003) 

Flajolet, Philippe see Vallée, Brigitte, 92m:11153 

Frieze, Alan M. see Dyer, Martin, 92¢:68059 

von zur Gathen, Joachim (with Giesbrecht, Mark) Constructing normal bases in finite fields. 
92e:11142 

— Tests for permutation polynomials. 92g:11117 

Giesbrecht, Mark see von zur Gathen, Joachim, 92e:11142 

Goldwasser, Shafi The search for provably secure cryptosystems. 92k:94018 

Golimann, Dieter see Dai, Zong Duo; et al., (92b:68003) 

Greene, Daniel H. (with Knuth, Donald E.) * Mathematics for the analysis of algorithms. 
92c:68067 

van Heyst, Eugene see Evertse, Jan-Hendrik, (92b:68003) 

Iwaniec, Henryk see Ajtai, Miklés; et al., 92e:11010 

Kaib, Michael The Gauss lattice basis reduction algorithm succeeds with any norm. (see 
92g:68007) 

Kaltofen, Erich Polynomial factorization 1982-1986. 92f:12001 

Kirschenhofer, Peter (with Prodinger, Helmut) Approximate counting: an alternative 
approach. (French summary) 92e:68070 

Knuth, Donald E. see Greene, Daniel H., 92c:68067 

Komlés, Janos see Ajtai, Miklés; et al., 92e:11010 

Lagarias, Jeffrey C. (with Lenstra, Hendrik W., Jr.; Schnorr, C.-P.) Korkin-Zolotarev bases 
and successive minima of a lattice and its reciprocal lattice. 92a:11075 

Landau, Susan Simplification of nested radicals. 92k:12008 

Langemyr, Lars Algorithms for a multiple algebraic extension. 92b:12019 

Lenstra, Hendrik W., Jr. see Lagarias, Jeffrey C.; et al., 92a:11075 

Levesque, Claude (with Rhin, G.) Two families of periodic Jacobi algorithms with period 
lengths going to infinity. 92a:11119 

McCurley, Kevin S. Odds and ends from cryptology and computational number theory. 
92j:11149 

Niederreiter, Harald The linear complexity profile and the jump complexity of keystream 
sequences. (see 92b:68003) 

— Finite fieids and their applications. 92j:11146 

Odlyzko, Andrew M. The rise and fall of knapsack cryptosystems. 92f:94016 

Pethé, Attila Complexity investigations on decomposable form equations. 92j:11028 

Pihko, Jukka Fibonacci numbers and an algorithm of Lemoine and Katai. 92j:11016 

Pintz, Janos see Ajtai, Miklés; et al., 92e:11010 

Pomerance, Carl Factoring. 92b:11089 

— Cryptology and computational number theory—an introduction. 92e:94023 

Prodinger, Helmut see Kirschenhofer, Peter, 92e:68070 

Rhin, G. see Levesque, Claude, 92a:11119 

Schnorr, C.-P. (with Euchner, M.) Lattice basis reduction: improved practical algorithms 
and solving subset sum problems. (see 92g:68007) 


11Y Computational number theory 


— see also Lagarias, Jeffrey C.; et al., 92a:11075 

Shoup, Victor Searching for primitive roots in finite fields. 92e:11140 

Smeulders, Arnold W. M. (with Dorst, Leo) Decomposition of discrete curves into 
piecewise straight segments in linear time. 92h:68088 

Stanyukovich, K. P. see Antonyuk, P. N., 92d:11019 

Strassen, Volker Degeneration and complexity of bilinear maps: some asymptotic spectra. 
92m:11038 

Szemerédi, Endre see Ajtai, Miklés; et al., 92e:11010 

Vallée, Brigitte An affine point of view on minima finding in integer lattices of lower 
dimensions. 92d:11069 

— (with Flajolet, Philippe) The lattice reduction algorithm of Gauss: an average case 
analysis. 92m:11153 

— Acentral problem in the algorithmic geometry of numbers: lattice reduction. 92c:11065 

Voorhees, Burton Period multiplying operators on integer sequences modulo a prime. 
92d:11013 

Williams, Hugh Cowie see Buchmann, Johannes A., 92g:11105 

Zantema, H. Minimizing sums of addition chains. 92i:68064 


11Y35 Analytic computations 


Items with secondary classifications in 11Y35 


Butzer, P. L. (with Hauss, M.; Stens, R. L.) The sampling theorem and its unique role in 
various branches of mathematics. 92m:94011 

Hauss, M. see Butzer, P. L.; et al., 92m:94011 

LaMacchia, B. A. (with Odlyzko, Andrew M.) Computation of discrete logarithms in prime 
fields. 92j:11148 

Lenstra, Hendrik W., Jr. (with Pomerance, Carl) A rigorous time bound for factoring 
integers. 92m:11145 

Odlyzko, Andrew M. see LaMacchia, B. A., 92j:11148 

Pomerance, Carl see Lenstra, Hendrik W., Jr., 92m:11145 

Stens, R. L. see Butzer, P. L.; et al., 92m:94011 


11Y40 Algebraic number theory computations 


Arenz, B. Computing fundamental units from independent units. 92m:11149 

Buchmann, Johannes A. (with Williams, Hugh Cowie) Quadratic fields and cryptography. 
92a:11153 

— Complexity of algorithms in algebraic number theory. 92f:11179 

— A subexponential algorithm for the determination of class groups and regulators of 
algebraic number fields. 92g:11125 

— (with Diillmann, Stephan) A probabilistic class group and regulator algorithm and its 
implementation. 92m:11150 

Cougnard, Jean Quelques questions sur les entiers algébriques. Aspects algorithmiques. 
[Some questions concerning algebraic integers. Algorithmic aspects] 92f:11180 

Diillmann, Stephan see Buchmann, Johannes A., 92m:11150 

Landau, Susan Erratum: “Factoring polynomials over algebraic number fields” [SIAM J. 
Comput. 14 (1985), no. 1, 184-195; MR 86d:11102]. 92f:11181 

McCurley, Kevin S. Cryptographic key distribution and computation in class groups. 
92e:11149 

Pohst, Michael E. Three principal tasks of computational algebraic number theory. 
92f:11182 

von Schmettow, J. Graf KANT—a tool for computations in algebraic number fields. 
92m:11151 

Shanks, Daniel On Gauss and composition. I, II. 92e:11150 

Williams, Hugh Cowie see Buchmann, Johannes A., 92a:11153 


Items with secondary classifications in 11Y40 


Buchmann, Johannes A. (with Williams, Hugh Cowie) On the existence of a short proof for 
the value of the class number and regulator of a real quadratic field. 92h:11089 

— (with Williams, Hugh Cowie) Some remarks concerning the complexity of computing 
class groups of quadratic fields. 92g:11105 

— see also Scheidler, Renate; et al., (92b:68003) 

del Corso, Ilaria Factorization of prime ideal extensions in number rings. 92i:11117 

Fee, Greg (with Granville, Andrew) The prime factors of Wendt’s binomial circulant 
determinant. 92f:11183 

Granville, Andrew see Fee, Greg, 92f:11183 

Huang, Ming-Deh A. Generalized Riemann hypothesis and factoring polynomials over 
finite fields. 92j:68057 

— Factorization of polynomials over finite fields and decomposition of primes in algebraic 
number fields. 92j:68058 

Kaltofen, Erich (with Yui, Noriko) Explicit construction of the Hilbert class fields of 
imaginary quadratic fields by integer lattice reduction. 92j:11133 

Klingen, Norbert Leopoldt’s conjecture for imaginary Galois number fields. 92e:11124 

Knopfmacher, Arnold (with Knopfmacher, John) The number of steps in the Euclidean 
algorithm over complex quadratic fields. 92f:11141 

Knopfmacher, John see Knopfmacher, Arnold, 92f:11141 

Lenstra, Hendrik W., Jr. (with Pomerance, Carl) A rigorous time bound for factoring 
integers. 92m:11145 

Olivier, Michel The computation of sextic fields with a cubic subfield and no quadratic 
subfield. 92e:11119 

Pohst, Michael E. (with Zassenhaus, Hans) * Algorithmic algebraic number theory. 
92b:11074 

Pomerance, Carl see Lenstra, Hendrik W., Jr., 92m:11145 

Scheidler, Renate (with Buchmann, Johannes A.; Williams, Hugh Cowie) Implementation 
of a key exchange protocol using real quadratic fields (extended abstract). (see 92b:68003) 

Williams, Hugh Cowie see Buchmann, Johannes A., 92g:11105; 92h:11089 and Scheidler, 
Renate; et al., (92b:68003) 

Yui, Noriko see Kaltofen, Erich, 92j:11133 

Zassenhaus, Hans see Pohst, Michael E., 92b:11074 





11Y50 


11Y50 Computer solution of Diophantine equations 


Contejean, Evelyne (with Devie, Hervé) Résolution de systémes linéaires d’équations 
diophantiennes. (English summary) [Solving linear systems of Diophantine equations] 
92k:11144 

Dardis, J. A. see Rosenstiel, E.; et al., 92i:11134 

Devie, Hervé see Contejean, Evelyne, 92k:11144 

Eric Solving systems of linear Diophantine equations: an algebraic approach. 
92h:11111 

Fee, Greg (with Granville, Andrew) The prime factors of Wendt’s binomial circulant 
determinant. 92f:11183 

Gaal, Istvan On the computer resolution of index form equations. 92g:11126 

Granville, Andrew see Fee, Greg, 92f:11183 

Iséki, Kiyoshi Positive integral solutions of x? + (x + 2)? +---+(x+2n)*=y? (I<n< 
10000). 92b:11092 

Pethé, Attila Computational methods for the resolution of Diophantine equations. 
92¢:11152 

Rosenstiel, C. R. see Rosenstiel, E.; et al., 92i:11134 

Rosenstiel, E. (with Dardis, J. A.; Rosenstiel, C. R.) The four least solutions in distinct 
positive integers of the Diophantine equation s = x3 + y3 = 23+ w3 = 43 + v3 = m3 +n}. 
92i:11134 


Items with secondary classifications in 11Y50 

Boudet, Alexandre (with Contejean, Evelyne; Devie, Hervé) A new AC unification 
algorithm with an algorithm for solving systems of Diophantine equations. (see 
92b:68007) 

Contejean, Evelyne see Boudet, Alexandre; et al., (92b:68007) 

Devie, Hervé see Boudet, Alexandre; et al., (92b:68007) 

Tzanakis, N. (with de Weger, B. M. M.) Solving a specific Thue-Mahler equation. 
92a:11028 

de Weger, B. M. M. A Diophantine equation of Antoniadis. 92f:11048 

— see also Tzanakis, N., 92a:11028 

Zhang, Ming Zhi On Schinzel numbers. (Chinese. English summary) 92h:11019 

Zimmer, Horst Ginter Computational aspects of the theory of elliptic curves. 92g:11057 


11Y55 Calculation of integer sequences 


Matsuoka, Yoshio A table of the explicit formulas for the sums of powers S,() = >j_, k? 
for p = 100(1)119. 

Moews, David (with Moews, Paul C.) A search for aliquot cycles below 10!°. 92e:11151 

Moews, Paul C. see Moews, David, 92e:11151 


Items with secondary classifications in 11Y55 


de Barra, G. see Borwein, Jonathan M., 92i:11011 
Borwein, Jonathan M. (with de Barra, G.) Nested radicals. 92i:11011 


11Y60 Evaluation of constants 


Dilcher, Karl Generalized Euler constants for arithmetical progressions. 92k:11145 
Larsen, Mogens Esrom 7 to a billion decimals! (Danish. English summary) 92a:11154 


Items with secondary classifications in 11Y60 


Karatsuba, E. A. A new method for the fast calculation of transcendental functions. 
(Russian) 92k:65029 


11Y65 Continued fraction calculations 


Flajolet, Philippe see Vallée, Brigitte, 92m:11153 

Guthmann, Andreas Kettenbriiche und Divisoren in reell-quadratischen Erweiterungen von 
GF(q)[T]. [Continued fractions and divisors in real-quadratic extensions of GF(q)[7]] 
$2m:11152 

Vallée, Brigitte (with Flajolet, Philippe) The lattice reduction algorithm of Gauss: an 
average case analysis. 92m:11153 


Items with secondary classifications in 11Y65 

Dorst, Leo see Smeulders, Arnold W. M., 92h:68088 

Hara-Mimachi, Yuko (with Ito, Shunji) A characterization of real quadratic numbers by 
Diophantine algorithms. 92i:11073 

Ito, Shunji (with Kasahara, Kenkiti) On Morimoto algorithm in Diophantine approxima- 
tion. 92i:11074 

— see also Hara-Mimachi, Yuko, 92i:11073 

Kasahara, Kenkiti see Ito, Shunji, 92i:11074 

Labhalla, Salah Complexité du calcul du développ dun bre réel en fractions 
continues. (English summary) [Complexity of the calculation of the continued fraction 
expansion of a real number] 92k:03028 

Matos, Ana C. Extrapolation algorithms based on the asymptotic expansion of the inverse 
of the error; application to continued fractions. 92¢:65004 

Smeulders, Arnold W. M. (with Dorst, Leo) Decomposition of discrete curves into 
Piecewise straight segments in linear time. 92h:68088 





11Y70 Vaiues of arithmetic functions; tables 


Atanassov, Krassimir T. see Atanassova, Liliya C. and Parashkevov, A.; et al. 

Atanassova, Liliya C. (with Atanassov, Krassimir T.) A method for a table-calculation of 
functions y and mod. 

Dobrev, S. see Parashkevov, A.; et al. 

Gospodinov, K. see Parashkevov, A.; et al. 

Mijajlovi¢é, Z. On some formulas involving !n and the verification of the !n-hypothesis by use 
of computers. 92d:11134 

Nedelchev, I. see Parashkevov, A.; et al. 


NUMBER THEORY 


1992 212 


Parashkevov, A. (with Nedelchev, I.; Atanassov, Krassimir T.; Gospodinov, K.; Radev, R.; 
Dobrev, S.) Announcement: arithmetical functions program package. 

Radev, R. see Parashkevov, A.; et al. 

Scheidler, Renate (with Williams, Hugh Cowie) A method of tabulating the number- 
theoretic function g(k). 92k:11146 

Williams, Hugh Cowie see Scheidler, Renate, 92k:11146 


Items with secondary classifications in 11Y70 

Bohman, Jan (with Fréberg, Carl-Erik) The I’-function revisited: power series expansions 
and real-imaginary zero lines. 92e:33001 

Brent, Richard P. (with Cohen, G. L.; te Riele, H. J. J.) Improved techniques for lower 
bounds for odd perfect numbers. 92c:11004 

Cohen, G. L. see Brent, Richard P.; et al., 92c:11004 

Ernvall, Reijo (with Metsankyla, T.) Computation of the zeros of p-adic L-functions. 
92j:11121 

Flammenkamp, Achim New sociable numbers. 92a:11004 

Froberg, Carl-Erik see Bohman, Jan, 92e:33001 

Margenstern, Maurice Les nombres pratiques: théorie, observations et conjectures. (English 
summary) [Practical numbers: theory, observations and conjectures] 92a:11006 

Metsankyla, T. see Ernvall, Reijo, 92j:11121 

Nipp, Gordon L. * Quaternary quadratic forms. 92h:11030 

te Riele, H. J. J. see Brent, Richard P.; et al., 92c:11004 


11Y99 None of the above, but in this section 


Quine, M. P. An elementary proof of Stirling’s formula. 

Zenkin, A. A. Waring’s problem from the standpoint of the cognitive interactive computer 
graphics. 92e:11152a 

— Some picturesque generalizations of Nechaev-Waring’s problem obtained by means of 
cognitive interactive computer graphics. 92e:11152b 


Items with secondary classifications in 11Y99 


Bruckstein, Alfred M. Self-similarity properties of digitized straight lines. 92¢:68167 
Hollinger, C. (with Serf, P.) SIMATH—a computer algebra system. 92m:11002 
Korec, Ivan Palindromic squares for various number system bases. 92m:11010 

Serf, P. see Hollinger, C., 92m:11002 


11Z50 Miscellaneous applications of number theory 


Dubuc, Serge (with Malik, Abdul) Convex hull of powers of a complex number, trinomial 
equations and the Farey sequence. 92m:11154 

Ito, Shunji Weyl automorphisms, substitutions and fractals. 92e:11153 

Kartashova, E. A. Partitioning of ensembles of weakly interacting dispersing waves in 
resonators into disjoint classes. 92c:11153 

Kawai, Hitosi A note on the dimensions of curves. 92a:11155 

Malik, Abdul see Dubuc, Serge, 92m:11154 

Mendes France, Michel The Rudin-Shapiro sequence, Ising chain, and paperfolding. 
92e:11154 

— Dimension et entropie des courbes. [Dimension and entropy of curves] 92c:11154 

— The Planck constant of a curve. (see 92f:58002) 

Senechal, Marjorie Generalizing crystallography: puzzles and problems in dimension 1. 
924:11184 


Items with secondary classifications in 11Z50 

Antonyuk, P. N. (with Stanyukovich, K. P.) The logistic difference equation. Period 
doublings and Fermat numbers. (Russian) 92d:11019 

Béllissard, Jean (with lochum, Bruno; Testard, D.) Continuity properties of the electronic 
spectrum of 1D quasicrystals. 92j:81037 

Bessis, Daniel (with Mantica, Giorgio) Construction of multifractal measures in dynamical 
systems from their invariance properties. 9: 

Dekking, F. Michel Substitutions, branching processes and fractal sets. (see 92f:58002) 

Herfort, W. see Kalkbrener, Michael; et al., 92j:81375 

Hittmair, O. see Kalkbrener, Michael; et al., 92j:81375 

Iochum, Bruno see Béllissard, Jean; et al., 92j:81037 

Kalkbrener, Michael (with Herfort, W.; Seke, J.; Hittmair,O.) Application of primitive 
polynomial remainder sequences to a problem of quantum optics. 92j:81375 

Keating, Jonathan Peter Asymptotic properties of the periodic orbits of the cat maps. 
92m:58108 

Khrennikov, A. Yu. Quantum mechanics over Galois extensions of number fields. (Russian) 
92h:81081 

— Real non-Archimedean structure of space-time. (Russian. English summary) 92m:11136 

Mantica, Giorgio see Bessis, Daniel, 92c:58060 

Seke, J. see Kalkbrener, Michael; et al., 92j:81375 

Stanyukovich, K. P. see Antonyuk, P. N., 92d:11019 

Testard, D. see Béllissard, Jean; et al., 92j:81037 


12-XX_ Field theory and polynomials 


12-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Items with secondary classifications in 12-01 


Allenby, R. B. J.T. * Rings, fields and groups. 92k:00004 
Artin, Michael * Algebra. 92g:00001 





213 1992 


Bakhturin, Yu. A. * OcHosubie cTpyKTypbI CoppemeHHON anre6ppi. (Russian) [Basic 
structures of modern algebra] 92b:00001 

Bican, Ladislav see Prochazka, Ladislav; et al., 921:00003 

Kepka, Tomas see Prochdzka, Ladislav; et al., 92i:00003 

Lorenz, Falko * Einfiihrung in die Algebra. Teil II. (German) [Introduction to algebra. Part 
II] 92j:00006 

Némec, Petr see Prochdzka, Ladislav; et al., 92i:00003 

Pieper, Herbert * Die komplexen Zahlen. (German) [Complex numbers] 92j:12003 

Prochazka, Ladislav (with Bican, Ladislav; Kepka, Toma’; Némec, Petr) * Algebra. 
(Czech) 92i:00003 


12-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 12-03 

(Arnold, V.1.) see Klein, Felix, 92d:01077 

Dwork, Bernard Work of Philippe Robba. 92d:01041 

Edwards, Harold M. A note on Galois theory. 92m:01028 

Gondard-Cozette, Danielle Le 17@me probléme de Hilbert et ses développements récents. 
[Hilbert’s 17th problem and recent developments] 92k:12003 

(Gorodentsev, A. L.) see Klein, Felix, 92d:01077 

(Kirillov, A. A.) see Klein, Felix, 92d:01077 

Klein, Felix * Jlexyuu 06 uxocasgpe H pemieHHH ypaBHeHHit naTon cTenenu. (Russian) 
[Lectures on the icosahedron, and solutions of equations of the fifth degree] 92d:01077 

(Robba, Philippe) see Dwork, Bernard, 92d:01041 

(Serre, Jean-Pierre) see Klein, Felix, 92d:01077 

Skau, Christian The impossibility of solving the general nth degree equation algebraically 
when n > 5: Abel’s and Ruffini’s proofs revisited. (Norwegian. English summary) 
92e:01047a 

— Erratum: “The impossibility of solving the general nth degree equation algebraically when 
n> 5: Abel’s and Ruffini’s proofs revisited”. (Norwegian) 92¢:01047b 

(Tyurin, A. N.) see Klein, Felix, 92d:01077 


12-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Items with secondary classifications in 12-04 


(Mignotte, Catherine) see Mignotte, Maurice, 92i:68071 
Mignotte, Maurice * Mathematics for computer algebra. 92i:68071 


12Dxx Real and complex fields 


12D05 Polynomials: factorization 


Briickner, Helmut Ein elementarer Beweis der algebraischen Abgeschlossenheit des Kérpers 
C der komplexen Zahlen. [An elementary proof of the algebraic closure of the field C of 
complex numbers] 92j:12001 

Kaltofen, Erich Polynomial factorization 1982-1986. 92f:12001 

Koldi, Miroslav see Sasaki, Tateaki; et al., 92j:12002 

Sasaki, Mutsuko see Sasaki, Tateaki; et al., 92j:12002 

Sasaki, Tateaki (with Suzuki, Masayuki; Kolaf, Miroslav; Sasaki, Mutsuko) Approximate 
factorization of multivariate polynomials and absolute irreducibility testing. 92j:12002 

Suzuki, Masayuki see Sasaki, Tateaki; et al., 92j:12002 

Viry, Guy Factorisation sur Z[X] des polynémes de degré élevé a l’aide d’un monomor- 
phisme. (English summary) [Factorization over Z[X] of higher-degree polynomials with 
the help of a monomorphism] 92a:12001 

Weinberg, David A. (with Witte, Dave) Topological equivalence of real binary forms. 
92a:12002 

Witte, Dave see Weinberg, David A., 92a:12002 


Items with secondary classifications in 12D05 

Choudhry, Ajai (with Schinzel, Andrzej) On the number of terms in the irreducible factors 
of a polynomial over Q. 92m:11022 

Duval, Dominique Absolute factorization of polynomials: a geometric approach. 92d:12018 

Glesser, Philippe * Bornes pour les algorithmes de factorisation des polynémes. (French) 
[Bounds for polynomial factorization algorithms] 92e:12010 

Lebedev, V. I. On formulae for roots of cubic equation. 92g:65058 

Prokip, V. M. Factorization of a matrix poly ial into Pp with prescribed 
characteristic polynomials. (Russian. English summary) 92g:15018 

Schinzel, Andrzej see Choudhry, Ajai, 92m:11022 





12D10 Polynomials: location of zeros (algebraic theorems) {For 
the analytic theory, see 26C10, 30C15.} 
Akritas, Alkiviadis G. (with Bradford, P.G.) The role of the Fibonacci sequence in the 
isolation of the real roots of polynomial equations. 92k:12001 
Bhatia, Rajendra (with Elsner, Ludwig; Krause, Gerd M.) Bounds for the variation of the 


roots of a poly ial and the eige: of a matrix. 92i:12001 

Bilodeau, G.G. Generating polynomials all of whose roots are real. 92g:12001 

Bradford, P.G. see Akritas, Alkiviadis G., 92k:12001 

Chen, Gong Ning Simplified proofs of fundamental theorems on the location of zeros of 
polynomials. (Chinese. English summary) 92a:12003 

Chen, Shu Ping An algebraic criterion for real polynomials with pure imaginary zeros. 
(Chinese. English summary) 92c:12001 

Dilcher, Karl Zeros of certain cyclotomy-generated polynomials. 92g:12002 

Elsner, Ludwig see Bhatia, Rajendra; et al., 92i:12001 





FIELD THEORY AND POLYNOMIALS 


12D15 


Fitchas, Noal (with Galligo, André) Nullstellensatz effectif et conjecture de Serre (théoréme 
de Quillen-Suslin) pour le calcul formel. (English summary) [An effective Nullstellensatz 
and Serre’s conjecture (Quillen-Suslin theorem) for computer algebra] 92i:12002 

Galligo, André see Fitchas, Noal, 92i:12002 

Krause, Gerd M. see Bhatia, Rajendra; et al., 92i:12001 

Meguerditchian, Ivan Géométrie locale des polynémes hyperboliques. (English summary) 
[Local geometry of hyperbolic polynomials] 92f:12002 

Mignotte, Maurice An inequality on the greatest roots of a polynomial. 92i:12003 

Soh, C. B. Necessary and sufficient conditions for interval polynomials to have only real 
distinct roots. 92a:12004 

Ye, Shu Wu On double numbers. (Chinese. English summary) 92g:12003 


Items with secondary classifications in 12D10 

Bartocci, Umberto (with Vipera, Maria Cristina) On the Gauss-Lucas lemma in positive 
characteristic. (Italian summary) 92j:11144 

Carstensen, Carsten Linear construction of companion matrices. 92c:15014 

Chardin, Mare Un algorithme pour le calcul des résultants. (English summary) [An 
algorithm for computing resultants] 92d:12017 

Dedieu, Jean-Pierre Combien peu de polynémes ont toutes leurs racines réeles? (English 
summary) [How many polynomials have only real roots?] 92i:11033 

Ershov, B. A. A stability criterion for systems of a certain type with a multivalued transfer 
function. I. (Russian. English summary) 92j:93079 

— A stability criterion for systems of a certain type with a multivalued transfer function. II. 
(Russian. English summary) 92j:93080 

Gonzalez-Vega, Laureano (with Lombardi, Henri; Recio Muniz, Tomas J.; Roy, Marie- 
Francoise) Spécialisation de la suite de Sturm et sous-résultants. (English summary) 
[Specialization of the Sturm sequence and subresultants] 92a:12016 

Kuyk, Willem see Smits, Lieven, 92g:26023 

Langevin, M. Systémes complets de conjugués sur un corps quadratique imaginaire et 
ensembles de largeur constante. (English summary) [Complete systems of conjugates over 
an imaginary quadratic field and sets of constant width] 92f:11137 

Lombardi, Henri see Gonzalez-Vega, Laureano; et al., 92a:12016 

Rassias, Themistocles M. Zeros of po!yromials and their derivative. 92m:30010 

Recio Muiiz, Tomas J. see Gonzalez-Vega, Laureano; et al., 92a:12016 

Roy, Marie-Francoise (with Szpirglas, Aviva) Sign determination on zero-dimensional sets. 
92¢e:14059 

— see also Gonzalez-Vega, Laureano; et al., 92a:12016 

Smits, Lieven (with Kuyk, Willem) Winding number and the number of real zeros of a 
function. 92g:26023 

Szpirglas, Aviva see Roy, Marie-Francoise, 92e:14059 

Vipera, Maria Cristina see Bartocci, Umberto, 92j:11144 

Wau, Wen Jun On a projection theorem of quasi-varieties in elimination theory. 92c:14058 

Yamamoto, Osami The distribution of the zeros generated by length-bounded polynomials. 
92a:11080 


12D15 Fields related with sums of squares (formally real fields, 
Pythagorean fields, etc.) [see also 11Exx] 


Alling, Norman L. Pythagorean and Euclidean ordered valued fields. 92a:12005 

Becker, Eberhard Sums of squares and quadratic forms in real algebraic geometry. (see 
92m:14072) 

Bradley, Margarita Convex hull of polynomials and sums of 2th powers. (French 
summary) 92b:12001 

— see also Prestel, A., 92d:12001 

Gondard-Cozette, Danielle Théorie des ordres de niveau supérieur, extensions et corps 
chaine-clos. [The theory of higher-level orderings, extensions and chain-closed fields] 
92k:12002 

— Le 17éme probléme de Hilbert et ses développements récents. [Hilbert’s 17th problem and 
recent developments] 92k:12003 

Ichikawa, Ryuichi (with Mizuno, Toru) On maximal real places of formally real fields and 
some characterization of SAP-fields. 92b:12002 

Kalhoff, Franz Formal power series over Cartesian groups and their spaces of orderings. 
92e:12001 

Kucharz, Wojciech Generating ideals in real holomorphy rings. 92i:12004 

Ligatsikas, Zénon (with Roy, Marie-Frangoise) Séries de Puiseux sur un corps réel clos. 
(English summary) [Puiseux series over real closed fields] 92c:12002 

Mizuno, Toru see Ichikawa, Ryuichi, 92b:12002 

Prestel, A. (with Bradley, Margarita) Representation of a real polynomial f(X) as a sum of 
2mth powers of rational functions. 92d:12001 

Roy, Marie-Francoise see Ligatsikas, Zénon, 92c:12002 

Scheiderer, Claus Spaces of orderings of fields under finite extensions. 92f:12003 


Items with secondary classifications in 12D15 

Benhissi, Ali Quelques propriétés des séries formelles généralisées. [Some properties of 
generalized formal power series] 92c:12010 

Haran, Dan Cohomology theory of Artin-Schreier structures. 92b:12007 

Hornix, E. A. M. Fed-linked fields and formally real fields satisfying B;. 92c:11032 

Kalhoff, Franz Witt rings and semiorderings of planar ternary rings. 92c:11042 

Kriiskemper, Martin Indecomposable positive quadratic forms. 92a:11040 

Leep, David B. Levels of division algebras. 92g:11036 

Lombardi, Henri Effective real Nullstellensatz and variants. 92m:12017 

Ortega, Jesus J. On the Pythagoras number of a real irreducible algebroid curve. 92a:14065 

Parimala, R. (with Sujatha, R.) Levels of nonreal function fields of real rational surfaces. 
92j:14071 

Robson, Robert O. Separating points from closed convex sets over ordered fields and a 
metric for R". 92b:12013 

Roy, Marie-Francoise Introduction a la géométrie algébrique réelle. [Introduction to real 
algebraic geometry] (see 92m:14072) 

Sander, Tomas Existence and uniqueness of the real closure of an ordered field without 
Zorn’s lemma. 92g:12011 





12D15 


Sujatha, R. see Parimala, R., 92j:14071 


Items listed otherwise than by author 

Conference: 
Real Algebraic Geometry * De la géométrie algébrique réelle. (French) [On real algebraic 

geometry] 92m:14072 
algébrique réelle * De la géométrie algébrique réelle. (French) [On real algebraic 

geometry] 92m:14072 

Paris * De la géométrie algébrique réelle. (French) [On real algebraic geometry] 
92m:14072 

Real algebraic geometry * De la géométrie algébrique réelle. (French) [On real algebraic 
geometry] 92m:14072 


12D99 None of the above, but in this section 
Pieper, Herbert * Die komplexen Zahlen. (German) [Complex numbers] 92j:12003 


Items with secondary classifications in 12D99 

Berenstein, Carlos A. (with Yger, Alain) Effective Bezout identities in Q[z),---, Zn]- 
92:32004 

Dillen, Franki Polynomials with constant Hessian determinant. 92b:13011 

Yger, Alain see Berenstein, Carlos A., 92f:32004 


12Exx General field theory 


12E05 Polynomials (irreducibility, etc.) 


Akritas, Alkiviadis G. Sylvester’s form of the resultant and the matrix-triangularization 
subresultant prs method. 92m:12001 

Angermiiller, G. A generalization of Ehrenfeucht’s irreducibility criterion. 92b:12003 

Coppersmith, Don (with Davenport, James Harold) Polynomials whose powers are sparse. 
92h:12001 

Davenport, James Harold see Coppersmith, Don, 92h:12001 

Glesser, Philippe Nouvelle majoration de la norme des facteurs d’un polynéme. [A new 
upper bound for the norm of the factors of a polynomial] 92d:12002 

Gow, R. Some properties and uses of the discriminant of a polynomial. 92f:12004 

McKay, James H. (with Wang, Stuart Sui Sheng) A chain rule for the resultant of two 
homogeneous polynomials. 92a:12006 

Roitman, Moshe (with Rubinstein, Zalman) On linear recursions with nonnegative 
coefficients. 92m:12002 

Rubinstein, Zalman see Roitman, Moshe, 92m:12002 

Schweizer, Berthold (with Sklar, A.) Invariants and equivalence classes of polynomials 
under linear conjugacy. 92d:12003 

Sklar, A. see Schweizer, Berthold, 92d:12003 

Stefanescu, Doru Minimal resultant matrices. 92b:12004 

Wang, Shi Qiang A generalization of Hilbert’s Nullstellensatz. (Chinese) 

Wang, Stuart Sui Sheng see McKay, James H., 92a:12006 

Wei, Dong Zhou Reducibility of x” + a over Q. (Chinese) 92j:12004 


Items with secondary classifications in 12E05 

von zur Gathen, Joachim Functional decomposition of polynomials: the tame case. 
92a:12015 

Gel'fand, I. M. (with Kapranov, M. M.; Zelevinskii, A. V.) Newton polytopes of the 
classical resultant and discriminant. 92a:14060 

Gilmer, Robert On the irreducibility of pure difference binomials. 92f:13009 

Kaltofen, Erich Polynomial factorization 1982-1986. 92f:12001 

Kapranov, M. M. see Gelfand, I. M.; et al., 92a:14060 

Praeger, Cheryl E. Kronecker classes of field extensions of small degree. 92m:12004 

Schinzel, Andrzej Reducibility of lacunary polynomials. XI. 92f:11139 

Yasumoto, Masahiro Nonstandard arithmetic of Hilbert subsets. 92f:12017 

Zelevinskii, A. V. see Gel'fand, I. M.; et al., 92a:14060 


12E10 Special polynomials 


Items with secondary classifications in 12E10 

Chen, Shu Ping An algebraic criterion for real polynomials with pure imaginary zeros. 
(Chinese. English summary) 92c:12001 

Lure, B. B. Universally solvable embedding problems. (Russian) 92a:11137 


12E12 Equations 


(Dummit, David S.) see Corrigenda: “Solving solvable quintics” 

Starc, Zdravko F. Reciprocal algebraic equations. (Serbo-Croatian) 

Ungar, Abraham A. Errata to: “A unified approach for solving quadratic, cubic and quartic 
equations by radicals” [Comput. Math. Appl. 19 (1990), no. 12, 33-39; MR 91b:12002]. 


Items listed otherwise than by author 
Corrigenda: 
“Solving solvable quintics” Corrigenda: “Solving solvable quintics” [Math. Comp. 57 
(1991), no. 195, 387-401; MR 91j:12005] by D. S. Dummit. 


Items with secondary classifications in 12E12 


Canny, John F. Generalized characteristic polynomials. 92b:12018 
Kikumasa, Isao (with Nagahara, Takasi) Primitive elements of Galois extensions of finite 
fields. 92i:12006 


Nagahara, Takasi see Kikumasa, Isao, 92i:12006 


FIELD THEORY AND POLYNOMIALS 


1992 214 


12E15 Skew fields, division rings [see also 11R52, 11R54, 11845, 
16Kxx] 


Denert, Marleen (with Tignol, Jean-Pierre; Van Geel, Jan; Vast, Nicole) The level of cyclic 
division algebras. 92a:12007 

Haile, Darrell On Clifford algebras and conjugate splittings. 92i:12005 

Kang, Ming Chang Metacyclic algebras. 92h:12002 

Khalin, V.G. Cyclic algebras over a multidimensional local field. (Russian) 92d:12004 

Roux, Bernard Corps gauches locaux avec corps résiduel parfait de caractéristique p > 0. 
[Local skew fields with perfect residue field of characteristic p > 0] 92e:12002 

Schofield, Aidan (with Van den Bergh, Michel) The index of a Brauer class on a Brauer- 
Severi variety. 92m:12003 

Sladek, Andrzej Witt rings of division algebras over global fields. 92b:12005 

Tignol, Jean-Pierre see Denert, Marleen; et al., 92a:12007 

Tomchin, I. L. (with Yanchevskii, V. I.) On the defect of valued skew-fields. (Russian) 
92:12005 

Van den Bergh, Michel see Schofield, Aidan, 92m:12003 

Van Geel, Jan see Denert, Marleen; et al., 92a:12007 

Van Praag, Paul Sur la norme réduite du déterminant de Dieudonné des matrices 
quaternioniennes. [On the reduced norm of the Dieudonné determinant of quaternion 
matrices] 92c:12003 

Vast, Nicole see Denert, Marleen; et al., 92a:12007 

Wene, G. P. On the multiplicative structure of finite division rings. 92b:12006 

Yanchevskii, V.I. see Tomchin, I. L., 92f:12005 


Items with secondary classifications in 12E15 

Behrens, Ernst-August The arithmetic of normal ideals in the quotient ring of some skew- 
polynomial rings. 92k:16043 

Blanchet, Altha Function fields of generalized Brauer-Severi varieties. 92c:14052 

Chang, Jui Chi A direct sum of division rings with a special automorphism. 92h:16016 

Dauns, John Partially ordered *-division rings. 92e:16014 

Ford, Timothy J. Division algebras over nonlocal Henselian surfaces. 92d:12011 

Idris, Ismail M. Unitary transformations modulo the group of multiplicative infinitesimals. 
(Arabic summary) 92j:15015 

Klein, Abraham A. (with Makar-Limanov, Leonid) Skew fields of differential operators. 
92£:16022 

Leung, Ka Hin A construction of an ordered division ring with a rank one valuation. 
92b:16087 

Liepold, Frank Zur Vervollstandigung bewerteter Schiefkérper. [On the completion of 
valued skew fields] 92c:12009 

Makar-Limanov, Leonid see Klein, Abraham A., 92f:16022 

Mammone, Pasquale On the tensor product of division algebras. 92m:16026 

Miller, Peter Transitive linear groups with large soluble normal subgroups. 92c:20084 

Pierce, R.S. (with Vinsonhaler, C. I.) Realizing subrings of rational division algebras. 
92g:16022 

Powers, Victoria Holomorphy rings and higher level orders on skew fields. 92b:11023 

Sethuraman, B. A. Indecomposable division algebras. 92f:16021 

Tomanov, G. M. The structure of division algebras of index 2”. (Russian) 92e:16015 

Vinsonhaler, C.I. see Pierce, R. S., 92g:16022 


12E20 Finite fields (field-theoretic aspects) 


van den Dries, Lou A remark on Ax’s theorem on solvability modulo primes. 92j:12005 

Kikumasa, Isao (with Nagahara, Takasi) Primitive elements of Galois extensions of finite 
fields. 92i:12006 

Lewittes, Joseph On certain g-polynomials. 92g:12004 

Nagahara, Takasi see Kikumasa, Isao, 92i:12006 

Rivero, Francisco GL,-orbits of minimal functions over finite fields. 92a:12008 


Items with secondary classifications in 12E20 

Bhargava, Vijay K. see Gulliver, T. Aaron, 92f:94027 

de Glas, Michel A representation theory for rings of finite characteristics. (Russian 
summary) 92g:06016 

Gulliver, T. Aaron (with Bhargava, Vijay K.) Some properties of self-reciprocal polynomi- 
als. 92f:94027 

Kikumasa, Isao (with Nagahara, Takasi) On primitive elements of Galois extensions of 
finite commutative algebras. 92d:12009 

Lempel, Abraham (with Seroussi, Gadiel) Explicit formulas for self-complementary normal 
bases in certain finite fields. 92¢:11148 

Mullen, Gary L. Dickson polynomials over finite fields. 92c:11146 

Nagahara, Takasi see Kikumasa, Isao, 92d:12009 

Pott, Alexander On the complexity of normal bases. 92k:11142 

Seroussi, Gadiel see Lempel, Abraham, 92c:11148 


12E25 Hilbertian fields; Hilbert’s irreducibility theorem 


Langmann, Klaus Der Hilbertsche Irreduzibilitatssatz und Primzahlfragen. [Hilbert’s 
irreducibility theorem and prime number problems] 92¢e:12003 
Schinzel, Andrzej An analog of Hilbert’s irreducibility theorem. 92h:12003 


Items with secondary classifications in 12E25 

Malle, Gunter Genus zero translates of three point ramified Galois extensions. 92f:12009 

Matzat, B. Heinrich Frattini-Einbettungsprobleme iiber Hilbertkérpern. [Frattini embed- 
ding problems on Hilbert fields] 92f:12010 

Roux, Bernard Corps gauches locaux avec corps résiduel parfait de caractéristique p > 0. 
[Local skew fields with perfect residue field of characteristic p > 0] 92e:12002 


12E99 None of the above, but in this section 





215 1992 


Items with secondary classifications in 12E99 

Dobbs, David E. (with Kiltinen, John O.; Orndorff, Bobby J.) Commutative rings with 
homomorphic power functions. 92m:13006 

Kiltinen, John O. see Dobbs, David E.; et al., 92m:13006 

Nanda, Sudarsan Fuzzy algebras over fuzzy fields. 92¢:04007 

Orndorff, Bobby J. see Dobbs, David E.; et al., 92m:13006 


12Fxx Field extensions 


12F05 Algebraic extensions 


Hajja, Mowaffaq (with Khazal, Reyadh) A note on algebraic automorphisms. 92d:12005 

Khazal, Reyadh see Hajja, Mowaffaq, 92d:12005 

Praeger, Cheryl E. Kronecker classes of field extensions of small degree. 92m:12004 

Ribenboim, Paulo Algebraic extensions of fields of generalized power series. 92d:12006 

Vaughan, Theresa P. Constructing quaternionic fields. 92m:12005 

Wang, Lan (with Xiao, Cai Qun) The Hilbert nullstellensatz for countably generated 
algebras. (Chinese. English summary) 92¢:12004 

Xiao, Cai Qun see Wang, Lan; et al., 92c:12004 


Items with secondary classifications in 12F05 

Kiming, Ian Explicit classifications of some 2-extensions of a field of characteristic different 
from 2. 92¢:11115 

Li, Yong Galois fields and computation. (Chinese. English summary) 92m:11137 


12F10 Separable extensions, Galois theory 


Blessenohl, Dieter (with Johnsen, Karsten) Stabile Teilkérper galoisscher Erweiterungen 
und ein Problem von C. Faith. [Stable subfields of Galois extensions and a problem of C. 
Faith] 92d:12007 

Cohen, Stephen D. The Galois group of generic symmetric matrices. 92d:12008 

Dénges, Manfred Die erweiterte Oktaedergruppe und die Resolventen der Gleichungen 4. 
Grades. [The extended octahedral group and the resolvents of equations of 4th degree] 
92£:12006 

Efrat, Ido Absolute Galois groups of p-adically maximal PpC fields. 92g:12005 

Girstmair, Kurt Specht modules and resolvents of algebraic equations. 92j:12006 

Haran, Dan Cohomology theory of Artin-Schreier structures. 92b:12007 

Thara, Yasutaka Braids, Galois groups and some arithmetic functions. 92m:12006 

Johnsen, Karsten see Blessenohl, Dieter, 92d:12007 

Kikumasa, Isao (with Nagahara, Takasi) On primitive elements of Galois extensions of 
finite commutative algebras. 92d:12009 

Nagahara, Takasi see Kikumasa, Isao, 92d:12009 

Ono, Takashi A note on Poincaré sums of Galois representations. 92f:12007 

— A note on Poincaré sums of Galois representations. II. 92m:12007a 

— A note on Poincaré sums of Galois representations. III. 92m:12007b 

Procesi, Claudio * Elementi di teoria di Galois. (Italian) [Elements of Galois theory] 
92:12008 

Ruppert, Wolfgang M. On the Bring normal form of a quintic equation in characteristic 5. 
92i:12007 

Toktosunov, Zh. N. A semidirect problem of the embedding of algebraic number fields with 
a solvable kernel. (Russian. English summary) 92j:12007 

Volpi, Aldo Overrings of a field and Galois extensions. (Italian. English summary) 
92k:12004 

Ware, Roger Galois groups of maximal p-extensions. 92m:12008 


Items with secondary classifications in 12F10 

Adeleke, S. A. (with Glass, A. M. W.; Morley, Larry J.) Arithmetic permutations. 
92h:20041 

Blanchet, Altha Function fields of generalized Brauer-Severi varieties. 92c:14052 

(Dummit, David S.) see Corrigenda: “Solving solvable quintics” 

Glass, A. M. W. see Adeleke, S. A.; et al., 92h:20041 

Harrison, D. K. (with Vitulli, M. A.) A categorical approach to the theory of equations. 
92¢:18006 

Ion, Ion D. (with Nita, Constantin) Ultraproduct of field extensions. 92c:12013 

Jia, Bao-Ping Splitting of rank-one valuations. 92g:12009 

Kojima, Hisashi Remark on Belyi’s paper concerning Galois extensions of the maximal 
cyclotomic field with certain linear groups as Galois groups. 92e:12004 

Komatsu, Kenzé On the Galois group of x? + ax +a=0. 92¢e:11127 

McCarthy, Paul J. * Algebraic extensions of fields. 92a:11138 

Morley, Larry J. see Adeleke, S. A.; et al., 92h:20041 

Nita, Constantin see Ion, Ion D., 92c:12013 

T. Classes of topological groups suggested by Galois theory. 92c:22002 
Vitulli, M. A. see Harrison, D. K., 92c:18006 


Items listed otherwise than by author 
Corrigenda: 
“Solving quintics” Corrigenda: “Solving solvable quintics” [Math. Comp. 57 
(1991), no. 195, 387-401; MR 91j:12005] by D. S. Dummit. 


12F12 Inverse Galois theory 


Debes, Pierre see Fried, Michael D., 92c:12005 

Fried, Michael D. (with Débes, Pierre) Rigidity and real residue class fields. 92c:12005 

Kojima, Hisashi Remark on Belyi’s paper concerning Galois extensions of the maximal 
cyclotomic field with certain linear groups as Galois groups. 92e:12004 

Madan, Manohar L. (with Rosen, Michael I.) The automorphism group of a function field. 
92j:12008 

Malle, Gunter Genus zero translates of three point ramified Galois extensions. 92f:12009 

Matzat, B. Heinrich Braids and Galois groups. (Turkish summary) 92d:12010 


12G Homological methods (field theory) 


12G10 


— Frattini-Einbettungsprobleme iiber Hilbertkérpern. [Frattini embedding problems on 
Hilbert fields] 92:12010 

Mindat, Jan (with Ware, Roger) Demuskin groups of rank Np as absolute Galois groups. 
92m:12009 

Rosen, Michael I. see Madan, Manohar L., 92j:12008 

Rzedowski Calderén, Martha Construction of global function fields with nilpotent 
automorphism groups. 92j:12009 

Schneps, Leila Construction explicite de 2-groupes extra-spéciaux comme groupes de Galois 
sur Q(T). [Explicit construction of extraspecial 2-groups as Galois groups over Q(T)] 
92m:12010 

— Explicit realisations of subgroups of GL2(F3;) as Galois groups. 92g:12006 

Sonn, Jack Central extensions of S, as Galois groups of regular extensions of Q(7). 
92g:12007 

Ware, Roger see Minaé, Jan, 92m:12009 

Yakovlev, A. V. Galois extensions with solvable group. (Russian) 92a:12009 


Items with secondary classifications in 12F12 

Efrat, Ido Absolute Galois groups of p-adically maximal PpC fields. 92g:12005 

Harbater, David On purity of inertia. 92d:14012 

Ishkhanov, V. V. (with Lur’e, B. B.) An embedding problem with a noncommutative kernel 
of order p*. II. (Russian) 92g:11107 

Lar’e, B. B. see Ishkhanov, V. V., 92g:11107 

Toktosunov, Zh. N. A semidirect problem of the embedding of algebraic number fields with 
a solvable kernel. (Russian. English summary) 92j:12007 


12F20 Transcendental extensions 


Bastos, G. G. (with Fuchs, Laszl6'; Viswanathan, T. M.) On chains of purely transcenden- 
tal field extensions. 92b:12008 

Carlisle, David P. (with Kropholler, P. H.) Rational invariants of certain orthogonal and 
unitary groups. 92m:12011 

Deveney, James K. (with Yanik, Joe) Retracts of fields. 92h:12004 

Fuchs, Laszlé! see Bastos, G. G.; et al., 92b:12008 

Hajja, Mowaffaq Invariants of certain algebraic automorphisms. 92e:12005 

Kropholler, P. H. see Carlisle, David P., 92m:12011 

Stefanescu, Doru About the Schilling series. 92a:12010 

Thompson, John G. Groups of genus zero and certain rational functions. 92h:12005 

Viswanathan, T. M. see Bastos, G. G.; et al., 92b:12008 

Yanik, Joe see Deveney, James K., 92h:12004 


Items with secondary classifications in 12F20 

Alexandru, V. (with Popescu, Nicolae; Zaharescu, Al.) Minimal pairs of definition of a 
residual transcendental extension of a valuation. 92b:12014 

Chistov, A. L. Calculation of the Galois group over a function field of characteristic zero 
with an algebraically closed constant field in polynomial time. (Russian) 92f:12018 

Chu, Hua Orthogonal group actions on rational function fields. 92h:11031 

Popescu, Liliana (with Popescu, Nicolae) Sur la définition des prolongements résiduels 
transcendents d’une valuation sur un corps K a K(X). [On the definition of transcenden- 
tal residual extensions to K(X) of a valuation over a field K] 92b:12012 

— (with Popescu, Nicolae) On the residual transcendental extensions of a valuation. Key 
polynomials and augmented valuation. 92h:12008 

Popescu, Nicolae see Popescu, Liliana, 92b:12012; Alexandru, V.; et al., 92b:12014 and 
Popescu, Liliana, 92h:12008 

Zaharescu, Al. see Alexandru, V.; et al., 92b:12014 

Zeng, Guang Xing On preordered fields related to Hilbert’s 17th problem. 92d:12014 


12F99 None of the above, but in this section 


Dress, Andreas W. M. (with Grabmeier, Johannes) On zero-testing and interpolation of 
sums of characters. 92m:12012 

Grabmeier, Johannes see Dress, Andreas W. M., 92m:12012 

Mordeson, John N. Fuzzy algebraic field extensions. 92k:12005 


12Gxx Homological methods (field theory) 


12G05 Galois cohomology [see also 13A20, 16H05] 


Ford, Timothy J. Division algebras over nonlocal Henselian surfaces. 92d:12011 

Merkurev, A. S. Generators and relations of the Brauer group of a field. (Russian) 
92b:12009 

Suslin, A. A. SK; of division algebras and Galois cohomology. 92m:12013 


Items with secondary classifications in 12G05 

Borovoi, M. V. On weak approximation in homogeneous spaces of simply connected 
algebraic groups. 92g:11037 

DeMeyer, Frank (with Greenfield, G. R.) The uniform group under change of rings. 
92b:13006 

Greenfield, G. R. see DeMeyer, Frank, 92b:13006 

Haran, Dan Cohomology theory of Artin-Schreier structures. 92b:12007 

Kang, Ming Chang Metacyclic algebras. 92h:12002 

Parshin, A. N. Galois cohomology and the Brauer group of local fields. (Russian) 
92c:11136 

Ware, Roger Galois groups of maximal p-extensions. 92m:12008 


12G10 Cohomological dimension 





12G10 


Items with secondary classifications in 12G10 


Chatzidakis, Zoé On the cohomological dimension of nonstandard number fields. 
92j:11151 


12G99 None of the above, but in this section 
Shafarevich, I. R. The Liiroth problem. (Russian) 92d:12012 


12Hxx Differential and difference algebra 


12H05 Differential algebra [see also 13Nxx] 


Aripov, R.G. The algebraic structure of a differential field of G-invariant differential 
rational functions of a finite number of paths in the space C" for G = SO(n, C). (Russian) 
92d:12013 

Bertrand, D. Extensions de D-modules et groupes de Galois différentiels. [D-module 
extensions and differential Galois groups] 92c:12006 

Bronstein, Manuel Computer algebra and indefinite integrals. 92a:12011 

Chardin, Marc Differential resultants and subresultants. (see 92g:68007) 

Engeler, Erwin Combinatory differential fields. 92a:12012 

Grigor’ev, D. Yu. (with Karpitiski, Marek; Singer, Michael F.) The interpolation problem 
for k-sparse sums of eigenfunctions of operators. 92j:12010 

— Complexity of the recognition of the irreducibility of a system of linear ordinary 
differential equations. (Russian. English summary) 92f:12011 

— Complexity of the solution of systems of linear equations in rings of differential operators. 
(Russian. English summary) 92h:12006 

Karpitiski, Marek see Grigor’ev, D. Yu.; et al., 92j:12010 

Levelt, A.H. M. Differential Galois theory and tensor products. 92f:12012 

Lipshitz, Leonard (with Rubel, Lee A.) A gap theorem for differentially algebraic power 
series. (see 92c:11001) 

Mitschi, Claude Differential Galois groups and G-functions. 92e:12006 

Okugawa, Kétaro * Differential algebra of nonzero characteristic. 92e:12007 

Rubel, Lee A. see Lipshitz, Leonard, (92c:11001) 

Shikishima-Tsuji, Kayoko Differentially separable extension of positive characteristic p. 
92b:12010 

Singer, Michael F. Liouvillian solutions of linear differential equations with Liouvillian 
coefficients. 92b:12011 

— Liouvillian first integrals of differential equations. 92m:12014 

— see also Grigor'ev, D. Yu.; et al., 92j:12010 

Vinogradov, M. M. On a general algebraic theory of linear differential operators. I. (Russian) 
92g:12008 


Items with secondary classifications in 12H05 

Churchill, Richard C. (with Rod, David L.) On the determination of Ziglin monodromy 
groups. 92m:32038 

Coomes, Brian (with Zurkowski, Victor) Linearization of polynomial flows and spectra of 
derivations. 92m:34002 

Deligne, P. Catégories tannakiennes. [Tannakian categories] 92d:14002 

Diop, Sette Finite morphisms of differential algebraic varieties and elimination theory. 
92k:14002 

Glad, Torkel Nonlinear regulators and Ritt’s remainder algorithm. (see 92g:93005) 

Grigor’ev, D. Yu. Complexity of factoring and calculating the GCD of linear ordinary 
differential operators. 92g:12012 

Ilyashenko, Yu. S. (with Khovanskii, A.G.) Galois groups, Stokes operators and a theorem 
of Ramis. (Russian) 92f:32038 

Khovanskii, A. G. see Il'yashenko, Yu. S., 92f:32038 

Rod, David L. see Churchill, Richard C., 92m:32038 

Zharinov, V. V. Differential algebras and low-dimension conservation laws. (Russian) 
92e:58202 

Zurkowski, Victor see Coomes, Brian, 92m:34002 


12H10 Difference algebra [see also 39Axx] 


Items with secondary classifications in 12H10 
Fliess, Michel Automzcique en temps discret et algébre aux différences. (English summary) 


[Discrete-time systems theory and difference algebra] 92b:93046 
12H20 Abstract differential equations [see also 34Gxx] 


Horwitz, Alan Homogeneous, isobaric, and autonomous algebraic differential equations. 
92j:12011 


Items with secondary classifications in 12H20 
Liu, Qi Ming Explicit /-reduced hierarchy of the KP hierarchy. 92e:58096 


12H25 p-adic differential equations [see also 11S80, 14G20, 
34Gxx] 


Christol, Gilles Globally bounded solutions of differential equations. 92c:12007 
Dwork, Bernard On the uniqueness of Frobenius operator on differential equations. 
92:12013 


Young, Paul Thomas Radii of convergence and index for p-adic differential operators. 
92m:12015 


Items with secondary classifications in 12H25 

Dwork, Bernard * Generalized hypergeometric functions. 92h:14006 
— Work of Philippe Robba. 92d:01041 

(Robba, Philippe) see Dwork, Bernard, 92d:01041 


FIELD THEORY AND POLYNOMIALS 


12H99 None of the above, but in this section 


Items with secondary classifications in 12H99 

Grossman, Robert Using trees to compute approximate solutions to ordinary differential 
equations exactly. 92f:34011 

Hellegouarch, Yves Un analogue d’un théoréme d’Euler. (English summary) [An analogue 
of a theorem of Euler] 92f:11036 


12Jxx Topological fields 


12J10 Valued fields 


Benhissi, Ali La cléture séparable du corps des séries formelles généralisées. [Maximal 
separable extension of the field of generalized formal power series] 92:12014 

Garg, Usha see Khanduja, Sudesh K., 92c:12008 

Jia, Bao-Ping Splitting of rank-one valuations. 92g:12009 

Khanduja, Sudesh K. (with Garg, Usha) On rank of extensions of valuations. 92c:12008 

— Anote ona result of J. Ax. 92j:12012 

Liepold, Frank Zur Vervollstandigung bewerteter Schiefkérper. [On the completion of 
valued skew fields] 92c:12009 

Popescu, Liliana (with Popescu, Nicolae) Sur la définition des prolongements résiduels 
transcendents d’une valuation sur un corps K a K(X). [On the definition of transcenden- 
tal residual extensions to K(X) of a valuation over a field K] 92b:12012 

Popescu, Nicolae see Popescu, Liliana, 92b:12012 


Items with secondary classifications in 12J10 


Alling, Norman L. Pythagorean and Euclidean ordered valued fields. 92a:12005 

Eisele, Eberhard Cartesian groups not belonging to topological projective planes. 92j:51022 
Kuhlmann, Franz-Viktor Generalized Ax-Kochen-Ershov-principles. (see 92a:03004) 
Marchi, Carla see Pasini, Leonardo, 92h:12007 

Nanda, Sudarsan Fuzzy linear spaces over valued fields. 92i:15023 

Pasini, Leonardo (with Marchid, Carla) Nash Hardy fields in several variables. 92h:12007 


12J12 Formally p-adic fields 


Bélair, Luc Spectre p-adique: aspects topologiques et géométriques. [The p-adic spectrum: 
topological and geometric aspects] 92g:12010 
Ershov, Yu. L. Characterization of Kochen rings of PCy-fields. (Russian) 92j:12013 


Items with secondary classifications in 12J12 
Efrat, Ido Absolute Galois groups of p-adically maximal PpC fields. 92g:12005 


12J15 Ordered fields 


Benhissi, Ali Quelques propriétés des séries formelles généralisées. [Some properties of 
generalized formal power series] 92c:12010 

Gondard-Cozette, Danielle Chainable fields and real algebraic geometry. 92f:12015 

Kalhoff, Franz On the existence of special quasifields. 92m:12016 

Lombardi, Henri (with Roy, Marie-Francgoise) Elementary constructive theory of ordered 
fields. 92j:12014 

— Effective real Nullstellensatz and variants. 92m:12017 

Marchi, Carla see Pasini, Leonardo, 92h:12007 

Pasini, Leonardo (with Marchid, Carla) Nash Hardy fields in several variables. 92h:12007 

Robson, Robert O. Separating points from closed convex sets over ordered fields and a 
metric for R". 92b:12013 

Roy, Marie-Francoise see Lombardi, Henri, 92j:12014 

Sander, Tomas Existence and uniqueness of the real closure of an ordered field without 
Zorn’s lemma. 92g:12011 

Zeng, Guang Xing On preordered fields related to Hilbert’s 17th problem. 92d:12014 


Items with secondary classifications in 12J15 


Alling, Norman L. Pythagorean and Euclidean ordered valued fields. 92a:12005 

Bradley, Margarita An elementary based sufficient condition for sums of 2mth powers of 
polynomials over non-Archimedean real closed fields. 92e:12009 

Cucker, Felipe Fonctions semi-algébriques sur le spectre réel d’un anneau. [Semi-algebraic 
functions on the real spectrum of a ring] 92i:14051 

Dickmann, M. A. A combinatorial geometric structure on the space of orders of a field. (see 
92a:03004) 

Eisele, Eberhard Cartesian groups not belonging to topological projective planes. 92j:51022 

Gondard-Cozette, Danielle Théorie des ordres de niveau supérieur, extensions et corps 
chaine-clos. [The theory of higher-level orderings, extensions and chain-closed fields] 
92k:12002 

Heintz, Joos (with Roy, Marie-Frangoise; Solerné, Pablo) Complexité du principe de 
Tarski-Seidenberg. (English summary) [Complexity of the Tarski-Seidenberg principle] 
92¢:12012 

Hornix, E. A.M. Formally real fields with prescribed invariants in the theory of quadratic 
forms. 92f:11055 

Ichikawa, Ryuichi (with Mizuno, Toru) On maximal real places of formally real fields and 
some characterization of SAP-fields. 92b:12002 

Leung, Ka Hin A construction of an ordered division ring with a rank one valuation. 
92b:16087 

Mizuno, Toru see Ichikawa, Ryuichi, 92b:12002 

Roy, Marie-Frangoise Introduction a la géométrie algébrique réelle. [Introduction to real 
algebraic geometry] (see 92m:14072) 

— see also Heintz, Joos; et al., 92c:12012 

Scheiderer, Claus Spaces of orderings of fields under finite extensions. 92f:12003 

Solerné, Pablo see Heintz, Joos; et al., 92c:12012 

Stengle, Gilbert Algebraic theory of differential inequalities. 92h:14040 





217 1992 


12J20 General valuation theory 


Alexandru, V. (with Popescu, Nicolae; Zaharescu, Al.) Minimal pairs of definition of a 
residual transcendental extension of a valuation. 92b:12014 

— (with Popescu, Nicolae; Zaharescu, Al.) All valuations on K(X). 92c:12011 

Popescu, Nicolae see Alexandru, V.; et al., 92b:12014 and 92c:12011 

Zaharescu, Al. see Alexandru, V.; et al., 92b:12014 and 92c:12011 


Items with secondary classifications in 12J20 

Garg, Usha see Khanduja, Sudesh K., 92c:12008 

Jia, Bao-Ping Splitting of rank-one valuations. 92g:12009 

Kalhoff, Franz The holomorphy rings of planar ternary rings with rational prime field. 
92b:51019 

Khanduja, Sudesh K. (with Garg, Usha) On rank of extensions of valuations. 92c:12008 

Morandi, Patrick J. An approximation theorem for Dubrovin valuation rings. 92g:16021 

Scheiderer, Claus Spaces of orderings of fields under finite extensions. 92f:12003 


12J25 Non-Archimedean valued fields [see also 30G06, 32P05, 
46S10, 47810] 


Bélair, Luc Vecteurs de Witt. [Witt vectors] 92j:12015 

Escassut, Alain The equation y’ = fy in C, when f is not quasi-invertible. 92b:12015 

Garcia Roig, J.-L. A generalization of Ostrowski’s theorem on ultrametric inequalities. 
92a:12013 

Green, Barry W. (with Matignon, M.; Pop, Florian) On valued function fields. II. Regular 
functions and elements with the uniqueness property. 92e:12008 

Matignon, M. see Green, Barry W.; et al., 92e:12008 

Pop, Florian see Green, Barry W.; et al., 92e:12008 

Popescu, Liliana (with Popescu, Nicolae) On the residual transcendental extensions of a 
valuation. Key polynomials and augmented valuation. 92h:12008 

Popescu, Nicolae see Popescu, Liliana, 92h:12008 


Items with secondary classifications in 12J25 

Diarra, Bertin see Escassut, Alain, 92a:30044 

Escassut, Alain Eléments analytiques non constants a dérivée nulle. [Nonconstant analytic 
elements with zero derivative] (see 92h:00018) 

— Dimension de l’espace des solutions de I’équation y’ = fy sur un infraconnexe et 
prolongement a travers un T-filtre. [Dimension of the space of solutions of the equation 
y’ = fy on an infraconnected subset and extension via a T-filter] 92d:12015 

— (with Diarra, Bertin) Analytic elements with a null derivative on an infraconnected open 
set. 92a:30044 

— Integrally closed algebras of analytic elements. 92f:46095 

— (with Sarmant-Durix, Marie-Claude) The equation y’ = fy in zero residue characteristic. 
92:46094 

Garg, S. K. see Narang, T. D., 92c:46081 

Garg, Usha see Khanduja, Sudesh K., 92c:12008 

Ha Huy Khodai La hauteur d’une suite de points dans ck et l’interpolation des fonctions 
holomorphes de plusieurs variables. (English summary) [Heights for sequences of points 
in ce and interpolation of holomorphic functions of several variables] 92k:32062 

Khanduja, Sudesh K. (with Garg, Usha) On rank of extensions of valuations. 92c:12008 

Liepold, Frank Zur Vervollistandigung bewerteter Schiefkérper. [On the completion of 
valued skew fields] 92c:12009 

Narang, T. D. (with Garg, S. K.) Farthest points in ultrametric spaces. 92c:46081 

Natarajan, P. N. Criterion for regular matrices in non-Archimedean fields. 92m:46112 

Rangan, G. (with Selvamuthu, V.) Differentiable functions on the ring of p-adic integers. 
92k:26052 

Sarmant-Durix, Marie-Claude see Escassut, Alain, 92f:46094 

Selvamuthu, V. see Rangan, G., 92k:26052 


12J27 Krasner-Tate algebras [See mainly 32P05; see also 46S10, 
47810] 


Escassut, Alain Dimension de l’espace des solutions de l’équation y’ = fy sur un infracon- 
nexe et prolongement a travers un T-filtre. [Dimension of the space of solutions of the 
equation y’ = fy on an infraconnected subset and extension via a T-filter] 92d:12015 

Karlowski, Reinhard (with Ullrich, Peter) A Tate-theoretic view of Krasner’s non- 
Archimedean function theory. 92b:12016 

Ullrich, Peter see Karlowski, Reinhard, 92b:12016 


Items with secondary classifications in 12J27 

Diarra, Bertin see Escassut, Alain, 92a:30044 

Escassut, Alain Eléments analytiques non constants a dérivée nulle. [Nonconstant analytic 
elements with zero derivative] (see 92h:00018) 

— (with Diarra, Bertin) Analytic elements with a null derivative on an infraconnected open 
set. 92a:30044 

— The equation y’ = fy in C, when f is not quasi-invertible. 92b:12015 

— Integrally closed algebras of analytic elements. 92f:46095 

— (with Sarmant-Durix, Marie-Claude) The equation y’ = fy in zero residue characteristic. 
92:46094 

Sarmant-Durix, Marie-Claude see Escassut, Alain, 92f:46094 


12J99 None of the above, but in this section 


Items with secondary classifications in 12J99 


Heckmanns, Ulrich Beispiel eines topologischen K6rpers, dessen Vervollstandigung ein 
Integritatsring, aber kein Kérper ist. [Example of a topological field whose completion is 
an integral domain, but not a field] 92h:13022 

Manchanda, Pammy (with Singh, Surjit?) Locally hounded topologies on F(X). 92h:13002 

Singh, Surjit> see Manchanda, Pammy, 92h:13002 


12L Connections with logic 


12L12 


Tomchin, I. L. (with Yanchevskii, V. I.) On the defect of valued skew-fields. (Russian) 
92£:12005 


Yanchevskii, V. 1. see Tomchin, I. L., 92f:12005 
12Kxx Generalizations of fields 


12K05 Near-fields [see also 16Y30] 


Behboud, A. Planare Abgeschlossenheit von Dicksonschen Fastkérpern und die Tiefe von 
Gruppenkopplungen. [Planar closure of Dickson near-fields and the depth of group 
couplings] 92k:12006 

Hanke, Klaus Ulrich (with Wahling, Heinz) Konstruktion lokalkompakter Fastkérper. 
(English summary) [Construction of locally compact nearfields] 92b:12017 

Kerby, William On a class of sharply 3-transitive groups. 92j:12016 

— KT-nearfields of rank 2. 92h:12009 

— Aclass of K T-nearfields closed with respect to planarity whose theory is not closed with 
respect to planarity. 92d:12016 

Wahl, Wolfgang (with Wefelscheid, Heinrich) Anordnung und Bewertung in Fastkérpern. 
[Ordering and valuation of near-fields] 92a:12014 

Wahling, Heinz see Hanke, Klaus Ulrich, 92b:12017 

Wefelscheid, Heinrich see Wahl, Wolfgang, 92a:12014 


Items with secondary classifications in 12K05 


Grdéger, Detlef Kopplungen auf einem quadratischen Zahlkérper und eine Basis seiner 
Normengruppe. (English summary) [Couplings on a quadratic number field and a basis 
of its norm group] 92c:11112 

Hanson, Jill (with Kallaher, Michael J.) Finite Bol quasifields are nearfields. 92b:51024 

Kalhoff, Franz A note on places of quasifields. 92b:51005 

— On the existence of special quasifields. 92m:12016 

Kallaher, Michael J. see Hanson, Jill, 92b:51024 


12K99 None of the above, but in this section 


Herzer, Armin Ein Kriterium fiir Quasikérper A(F,T,,(g;), (f;),m). [A criterion for 
quasifields A(F,T,(g;), (;),)] 92k:12007 


Items with secondary classifications in 12K99 
Kalhoff, Franz Witt rings and semiorderings of planar ternary rings. 92c:11042 


12Lxx Connections with logic 


12L05 Decidability [see also 03B25] 


Borodin, Allan (with Tiwari, Prasoon) On the decidability of sparse univariate polynomial 
interpolation. 92f:12016 

Heintz, Joos (with Roy, Marie-Francoise; Solerné, Pablo) Complexité du principe de 
Tarski-Seidenberg. (English summary) [Complexity of the Tarski-Seidenberg principle] 
92c:12012 

Roy, Marie-Francoise see Heintz, Joos; et al., 92c:12012 

Solerné, Pablo see Heintz, Joos; et al., 92c:12012 

Tiwari, Prasoon see Borodin, Allan, 92f:12016 


Items with secondary classifications in 12L05 

Bélair, Luc (with Duret, Jean-Louis) Définissabilité dans les corps de fonctions p-adiques. 
(English summary) [Definability in p-adic function fields] 92m:03053 

Duret, Jean-Louis see Bélair, Luc, 92m:03053 


12L10 Ultraproducts [see also 03C20] 


Ion, Ion D. (with Nita, Constantin) Ultraproduct of field extensions. 92c:12013 
Nita, Constantin see Ion, Ion D., 92c:12013 


12L12 Model theory [see also 03C60] 


Bradley, Margarita An elementary based sufficient condition for sums of 2mth powers of 
polynomials over non-Archimedean real closed fields. 92e:12009 

Prestel, A. (with Schmid, Joachim) Existentially closed domains with radical relations: an 
axiomatization of the ring of algebraic integers. 92c:12014 

Schmid, Joachim see Prestel, A., 92c:12014 


Items with secondary classifications in 12L12 


Basarab, Serban A. Relative elimination of quantifiers for Henselian valued fields. 
92j:03028 

Bélair, Luc Spectre p-adique: aspects topologiques et géométriques. [The p-adic spectrum: 
topological and geometric aspects] 92g:12010 

— Le théoréme de Macintyre, un théoréme de Chevalley p-adique. (English summary) 
[Macintyre’s theorem: a p-adic Chevalley theorem] 92d:03024 

Bradley, Margarita see Prestel, A., 92d:12001 

van den Dries, Lou A remark on Ax’s theorem on solvability modulo primes. 92j:12005 

Gondard-Cozette, Danielle Chainable fields and real algebraic geometry. 92f:12015 

— Le 17éme probléme de Hilbert et ses développements récents. [Hilbert’s 17th problem and 
recent developments] 92k:12003 

Heintz, Joos (with Roy, Marie-Francoise; Solernd, Pablo) Sur la complexité du principe 
de Tarski-Seidenberg. (English summary) [On the complexity of the Tarski-Seidenberg 
principle] 92g:03047 

Kuhlmann, Franz-Viktor Generalized Ax-Kochen-Ershov-principles. (see 92a:03004) 

Leloup, G. Paires de corps valués henseliens. [Pairs of Henselian valued fields] (see 
92g:03005) 





12L12 


Prestel, A. (with Bradley, Margarita) Representation of a real polynomial f(X) as a sum of 
2mth powers of rational functions. 92d:12001 

Roy, Marie-Francoise see Heintz, Joos; et al., 92g:03047 

Solerné6, Pablo see Heintz, Joos; et al., 92g:03047 

Wang, Shi Qiang A generalization of Hilbert’s Nullstellensatz. (Chinese) 

Wolter, Helmut A generalization of Sturm’s theorem to a special class of exponential terms. 
(see 92a:03004) 


12L15 Nonstandard arithmetic [see also 03H15] 
Yasumoto, Masahiro Nonstandard arithmetic of Hilbert subsets. 92f:12017 


12Y05 Computational aspects of field theory and 
polynomials 


Canfield, E. Rodney see King, R. B., 92a:12017 

Canny, John F. Generalized characteristic polynomials. 92b:12018 

Chardin, Marc Un algorithme pour le calcul des résultants. (English summary) [An 
algorithm for computing resultants] 92d:12017 

Chistov, A. L. Calculation of the Galois group over a function field of characteristic zero 
with an algebraically closed constant field in polynomial time. (Russian) 92f:12018 

Duval, Dominique Absolute factorization of polynomials: a geometric approach. 92d:12018 

Fitchas, Noai (with Galligo, André; Morgenstern, Jacques) Algorithmes rapides en 
sequentiel et en paralléle pour |’élimination des quantificateurs en géométrie élémentaire. 
[Fast sequential and parallel algorithms for quantifier elimination in elementary 
geometry] 92h:12010 

Galligo, André see Fitchas, Noai; et al., 92h:12010 

von zur Gathen, Joachim Functional decomposition of polynomials: the tame case. 
92a:12015 

— Functional decomposition of polynomials: the wild case. 92i:12008 

Glesser, Philippe * Bornes pour les algorithmes de factorisation des polynémes. (French) 
[Bounds for polynomial factorization algorithms] 92e:12010 

Gonzdlez-Vega, Laureano A subresultant theory for multivariate polynomials. 92h:12011 

— (with Lombardi, Henri; Recio Mufiiz, Tomas J.; Roy, Marie-Frangoise) Spécialisation 
de la suite de Sturm et sous-résultants. (English summary) [Specialization of the Sturm 
sequence and subresultants] 92a:12016 

Grigor'ev, D. Yu. Complexity of factoring and calculating the GCD of linear ordinary 
differential operators. 92g:12012 

King, R. B. (with Canfield, E. Rodney) An algorithm for calculating the roots of a general 
quintic equation from its coefficients. 92a:12017 

Landau, Susan Simplification of nested radicals. 92k:12008 

Langemyr, Lars Algorithms for a multiple algebraic extension. 92b:12019 

Lombardi, Henri see Gonzalez-Vega, Laureano; et al., 92a:12016 

Morgenstern, Jacques see Fitchas, Noai; et al., 92h:12010 

Olazabal, J. M. REDUCE procedures to compute the minimum polynomial of a codified 
real algebraic number. (see 92b:00044) 

Recio Muiiiz, Tomas J. see Gonzalez-Vega, Laureano; et al., 92a:12016 

Roy, Marie-Francoise see Gonzalez-Vega, Laureano; et al., 92a:12016 

Vorob’ev, N. N., Jr. Deciding consistency of systems of polynomial in exponent inequalities 
in subexponential time. 92h:12012 


Items with secondary classifications in 12Y05 


Akritas, Alkiviadis G. (with Bradford, P.G.) The role of the Fibonacci sequence in the 
isolation of the real roots of polynomial equations. 92k:12001 

Bhargava, Vijay K. see Gulliver, T. Aaron; et al., 92i:11127 

Borodin, Allan (with Tiwari, Prasoon) On the decidability of sparse univariate polynomial 
interpolation. 92f:12016 

Bradford, P.G. see Akritas, Alkiviadis G., 92k:12001 

Bronstein, Manuel Computer algebra and indefinite integrals. 92a:12011 

Carstensen, Carsten Inclusion of the roots of a polynomial based on Gerschgorin’s theorem. 
925:65072 

von zur Gathen, Joachim (with Seroussi, Gadiel) Boolean circuits versus arithmetic circuits. 
92a:68056 

Grigor’ev, D. Yu. Complexity of the recognition of the irreducibility of a system of linear 
ordinary differential equations. (Russian. English summary) 92f:12011 


— Complexity of the solution of systems of linear equations in rings of differential operators. 


(Russian. English summary) 92h:12006 

— see also Vorob’ev, N. N., Jr., 92£:14059 

Gulliver, T. Aaron (with Serra, Micaela; Bhargava, Vijay K.) The generation of primitive 
polynomials in GF(q) with independent roots and their applications for power residue 
codes, VLSI testing and finite field multipliers using normal basis. 92i:11127 

(Kaltofen, Erich) see Computational algebraic complexity, 92b:13037 

Karpitiski, Marek (with Luby, Michael) Approximating the number of zeroes of a GF[2] 
polynomial. (see 92b:68016) 

Luby, Michael see Karpiriski, Marek, (92b:68016) 

van Oorschot, Paul C. (with Vanstone, Scott A.) Some geometric aspects of root finding in 
GF(q™). 92h:11107 

Ruitenburg, Wim B. G. Constructing roots of polynomials over the complex numbers. 
92g:03085 

Seroussi, Gadiel see von zur Gathen, Joachim, 92a:68056 

Serra, Micaela see Gulliver, T. Aaron; et al., 92i:11127 

Tiwari, Prasoon see Borodin, Allan, 92f:12016 

Vanstone, Scott A. see van Oorschot, Paul C., 92h:11107 

Viry, Guy Factorisation sur Z[X] des polynémes de degré élevé a l’aide d’un monomor- 
phisme. (English summary) [Factorization over Z[X] of higher-degree polynomials with 
the help of 2 monomorphism] 92a:12001 

Vorob’ev, N. N., Jr. (with Grigorev, D. Yu.) Determination of the number of connected 
components of a semi-algebraic set in subexponential time. (Russian) 92f:14059 


FIELD THEORY AND POLYNOMIALS 


Items listed otherwise than by author 
Computational algebraic complexity * Computational algebraic complexity. 92b:13037 


13-XX Commutative rings and algebras 


13-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Balcerzyk, Stanislaw (with Jozefiak, Tadeusz) * Commutative rings. 92b:13001 

— (with Jézefiak, Tadeusz) * Commutative Noetherian and Krull rings. 92f:13001 

Briiske, Rainer (with Ischebeck, Friedrich; Vogel, Ferdinand) * Kommutative Algebra. 
(German) [Commutative algebra] 92e:13001 

Ischebeck, Friedrich see Briiske, Rainer; et al., 92e:13001 

Jézefiak, Tadeusz see Balcerzyk, Stanistaw, 92b:13001 and 92f:13001 

(Juniewicz, Maciej) see Balcerzyk, Stanistaw, 92b:13001 and 92£:13001 

(Kowalski, Sergiusz) see Balcerzyk, Stanislaw, 92b:13001 and 92f:13001 

(Kuczma, Marcin E.) see Balcerzyk, Stanistaw, 92b:13001 

Vogel, Ferdinand see Briiske, Rainer; et al., 92e:13001 


Items with secondary classifications in 13-01 

Allenby, R. B. J.T. * Rings, fields and groups. 92k:00004 

Artin, Michael * Algebra. 92g:00001 

Bakhturin, Yu. A. * OcHosHbie cTpyKTypbI CoppeMeHHOH anre6ppi. (Russian) [Basic 
structures of modern algebra] 92b:00001 

Cohn, P.M. * Algebra. Vol. 3. 92c:00001 

Lorenz, Falko * Einfiihrung in die Algebra. Teil II. (German) [Introduction to algebra. Part 
II] 92j:00006 


13-02 Research exposition (monographs, survey articles) 


Items with secondary classifications in 13-02 

Balcerzyk, Stanislaw (with Jézefiak, Tadeusz) * Commutative Noetherian and Krull rings. 
92£:13001 

Briiske, Rainer (with Ischebeck, Friedrich; Vogel, Ferdinand) * Kommutative Algebra. 
(German) [Commutative algebra] 92e:13001 

Ischebeck, Friedrich see Briiske, Rainer; et al., 92e:13001 

Jézefiak, Tadeusz see Balcerzyk, Stanislaw, 92f:13001 

(Juniewicz, Maciej) see Balcerzyk, Stanistaw, 92f:13001 

(Kowalski, Sergiusz) see Balcerzyk, Stanistaw, 92f:13001 

Vogel, Ferdinand see Briiske, Rainer; et al., 92e:13001 


13-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 13-03 
Michler, Gerhard O. Vom Hilbertschen Basissatz bis zur Klassifikation der endlichen 


einfachen Gruppen. [From Hilbert’s basis theorem to the classification of finite simple 
groups] 92b:01045 


13-06 Proceedings, conferences, collections, etc. 


(Eisenbud, David) see Free resolutions in commutative algebra and algebraic geometry, 
92m:13001 

(Huneke, Craig) see Free resolutions in commutative algebra and algebraic geometry, 
92m:13001 


Items listed otherwise than by author 


Applications of Frobenius mappings to the theory of commutative rings * Frobenius shaz6 no 
kakankan-ron e no dyd. (Japanese) [Applications of Frobenius mappings to the theory of 
commutative rings] 92d:13001 

Conference: 

Free Resolutions in Commutative Algebra and Algebraic Geometry * Free resolutions in 
commutative algebra and algebraic geometry. 92m:13001 

Free resolutions in commutative algebra and algebraic geometry * Free resolutions in 
commutative algebra and algebraic geometry. 92m:13001 

Sundance, UT * Free resolutions in commutative algebra and algebraic geometry. 
92m:13001 

Symposium: 

Applications of Frobenius Mappings to the Theory of Commutative Rings * Frobenius 
shaz6 no kakankan-ron e no dyo. (Japanese) [Applications of Frobenius mappings to 
the theory of commutative rings] 92d:13001 


Items with secondary classifications in 13-06 
(Kaltofen, Erich) see Computational algebraic complexity, 92b:13037 


Items listed otherwise than by author 
Computational algebraic complexity * Computational algebraic complexity. 92b:13037 


13Axx General commutative ring theory 





219 1992 


13A02 Graded rings [see also 16W50] 
Anderson, David F. The kernel of Pic( Ro) — Pic(R) for R a graded domain. 92j:13001 


Items with secondary classifications in 13A02 


Elias, Juan Three results on the number of generators of ideals. 92i:13010 

Hochster, Melvin (with Huneke, Craig) Infinite integral extensions and big Cohen- 
Macaulay algebras. 92m:13023 

Huneke, Craig see Hochster, Melvin, 92m:13023 

Renschuch, Bodo (with Vogel, Wolfgang) Perfektheit und die Umkehrung des Bezoutschen 
Satzes. [Perfectness, and the converse of Bezout’s theorem] 92j:13018 

Stanley, Richard P. On the Hilbert function of a graded Cohen-Macaulay domain. 
92£:13017 

Vogel, Wolfgang see Renschuch, Bodo, 92j:13018 


13A05 _Divisibility 
Anderson, D. D. Integral domains with finitely generated groups of divisibility. 92c:13001 


Geroldinger, Alfred On the arithmetic of certain not integrally closed Noetherian integral 
domains. 92c:13002 


Items with secondary classifications in 13A05 

Anderson, D. D. (with Anderson, David F.; Zafrullah, Muhammad) Factorization in 
integral domains. 92b:13028 

Anderson, David F. (with Pruis, Paula) Length functions on integral domains. 92c¢:13015 

— see also Anderson, D. D.; et al., 92b:13028 

Anderson, Marlow Lattice-ordered groups of divisibility: an expository introduction. 
92d:06040 

Halter-Koch, Franz Finiteness theorems for factorizations. 92k:20121 

Liineburg, Heinz On a certain arithmetical question in a Priifer domain. (Italian) 
92b:13027 

Pruis, Paula see Anderson, David F., 92c:13015 

Zafrullah, Muhammad see Anderson, D. D.; et al., 92b:13028 

Zhang, Yin Huo On the quotient ring of commutative rings with ACC* on annihilator 
ideals. (Chinese summary) 92b:13026 


13A10 Radical theory 
McConnell, N. R. Radical ideals of Dedekind domains and their extensions. 92f:13002 


Items with secondary classifications in 13A10 

Dobbs, David E. (with Kiltinen, John O.; Orndorff, Bobby J.) Commutative rings with 
homomorphic power functions. 92m:13006 

Kiltinen, John O. see Dobbs, David E.; et al., 92m:13006 

La, C.-P. M-radicals of submodules in modules. II. 92b:13014 

McCasland, Roy L. (with Moore, Marion E.) On radicals of submodules. 92f:13014 

Moore, Marion E. see McCasland, Roy L., 92f:13014 

Orndorff, Bobby J. see Dobbs, David E.; et al., 92m:13006 

Ursul, M. 1. Splitting off of a radical in commutative topological rings that are close to 
compact. (Russian) 92¢:16033 


13A15 Ideals; multiplicative ideal theory 


Anderson, David F. (with Dobbs, David E.; Eakin, Paul M., Jr.; Heinzer, William J.) On the 
generalized principal ideal theorem and Krull domains. 92f:13003 

Ansari Toroghy, H. (with Sharp, R. Y.) Asymptotic behaviour of ideals relative to injective 
modules over commutative Noetherian rings. 92b:13005 

Chapman, Scott T. Characterizing strong two-generators in K[X?, X°]. 92a:13001 

Dobbs, David E. A note on strong locally divided domains. 92h:13001 

— see also Anderson, David F.; et al., 92f:13003 

Eakin, Paul M., Jr. see Anderson, David F.; et al., 92f:13003 

Gabelli, Stefania On domains with ACC on invertible ideals. (Italian summary) 92j:13002 

Heinzer, William J. see Anderson, David F.; et al., 92f:13003 

Huang, Tian Min The spectrum of a Noetherian ring. (Chinese summary) 92¢:13003 

Jayaram, C. Quasiregular rings. 92b:13002 

Kanemitsu, Mitsuo (with Yoshida, Ken-ichi) Conditions for an ideal in a polynomial ring 
to be principal. 92¢:13004 

— (with Yoshida, Ken-ichi) The prime divisors in the product of ideals. 92k:13001 

Kang, Byung Gyun A characterization of Krull rings with zero divisors. 92f:13004 

McAdam, Stephen (with Ratliff, L. J., Jr.) The linearity of projective relations. 92b:13003 

— Bounded deviations. 92b:13004 

Mirbagheri, Ahmad (with Ratliff, L. J., Jr.,; Rush, David E.) Note on divisorial sets of 
elements for sets of ideals. 92e:13002 

Okon, James S. (with Ratliff, L. J., Jr.) On the grade and cograde of a Noetherian filtration. 
92¢:13005 

Ratliff, L. J., Jr. Residual division, semi-prime operations, and a theorem of Sakuma and 
Okuyama. 92g:13001 

— see also McAdam, Stephen, 92b:13003; Okon, James S., 92c:13005 and Mirbagheri, 
Ahmad; et al., 92e:13002 

Rush, David E. see Mirbagheri, Ahmad; et al., 92e:13002 

Sharp, R. Y. see Ansari Toroghy, H., 92b:13005 

Visweswaran, S. Prime divisors of powers of ideals in some Laskerian rings. 92g:13002 

Yoshida, Ken-ichi see Kanemitsu, Mitsuo, 92c:13004 and 92k:13001 


Items with secondary classifications in 13A15 

Agliand, Paolo The prime spectrum of a universal algebra. 92d:08008 

Al-Khouja, I. A. see Nakkar, H. M., 92j:06009 

Anderson, D. D. (with Anderson, David F.; Zafrullah, Muhammad) Rings between D[X] 
and K[X]. 92¢:13014 

Anderson, David F. (with Dobbs, David E.; Fontana, Marco) Characterizing Kronecker 
function rings. (Italian summary) 92k:13010 


COMMUTATIVE RINGS AND ALGEBRAS 


13A30 


— see also Anderson, D. D.; et al., 92c:13014 

Berenstein, Carlos A. (with Yger, Alain) Effective Bezout identities in Q[z),---, z,). 
92£:32004 

Chapman, Scoti T. (with Vaughan, Nick H.) A theorem on generating ideals in certain 
semigroup rings. (Italian summary) 92f:13024 

Cutkosky, Steven Dale When are the blow ups of two ideals the same scheme? 92j:14002 

Dichi, Henri (with Sangare, Daouda) Filtrations, asymptotic and Priiferian closures, 
cancellation laws. 92b:13012 

Dobbs, David E. see Anderson, David F.; et al., 92k:13010 

Fontana, Marco see Anderson, David F.; et al., 92k:13010 

Geroldinger, Alfred On the arithmetic of certain not integrally closed Noetherian integral 
domains. 92¢:13002 

Heitmann, Raymond (with Wiegand, Roger) Direct sums of ideals. 92f:13010 

Jia, Bao-Ping Splitting of primes in extension domains. 92h:13009 

Low, Gordan M. (with Smith, Patrick F.) Multiplication modules and ideals. 92a:13008 

Nakkar, H. M. (with Al-Khouja, I. A.) Locally Noetherian lattice modules. 92j:06009 

Pascual Garcia, J. Kronecker function ring and strong N-rings. 92¢:13013 

Picavet-L’Hermitte, Martine Multiplicité et norme d’un idéal fractionnaire et régulier. 
(English summary) (Multiplicity and norm of a regular fractional ideal] 92c:13021 

Sangare, Daouda see Dichi, Henri, 92b:13012 

Smith, Patrick F. see Low, Gordan M., 92a:13008 

Stifter, Sabine The reduction ring property is hereditary. 92g:13032 

Sugatani, Takasi (with Yoshida, Ken-ichi) Divisorially flat extensions of an integral 
domain. 92h:13010 

Vaughan, Nick H. see Chapman, Scott T., 92f:13024 

Wiegand, Roger see Heitmann, Raymond, 92f:13010 

Yger, Alain see Berenstein, Carlos A., 92f:32004 

Yoshida, Ken-ichi see Sugatani, Takasi, 92h:13010 

Zafrullah, Muhammad see Anderson, D. D.; et al., 92c:13014 


13A18 Valuations and their generalizations 


Heinzer, William J. (with Sally, Judith D.) Extensions of valuations to the completion of a 
local domain. 92j:13003 

Manchanda, Pammy (with Singh, Surjit?) Locally bounded topologies on F(X). 92h:13002 

Morariu, Wanda (with Popescu, Dorin) Immediate extensions of filtered rings. (Italian 
summary) 92h:13003 

Popescu, Dorin see Morariu, Wanda, 92h:13003 

Sally, Judith D. see Heinzer, William J., 92j:13003 

Singh, Surjit? see Manchanda, Pammy, 92h:13002 


Items with secondary classifications in 13A18 

Harrison, D. K. (with McKenzie, Thomas) Toward an arithmetic of polynomials. 
92m:13008 

Kang, Byung Gyun A characterization of Krull rings with zero divisors. 92f:13004 

Marshall, Murray Orderings and real places on commutative rings. 92g:13030 

McAdam, Stephen (with Ratliff, L. J., Jr.) The linearity of projective relations. 92b:13003 

— Bounded deviations. 92b:13004 

McKenzie, Thomas see Harrison, D. K., 92m:13008 

Osofsky, Barbara L. A construction of nonstandard uniserial modules over valuation 
domains. 92¢:13022 

Ratliff, L. J., Jr. see McAdam, Stephen, 92b:13003 

Sekiguchi, Koji Priifer domain and affine scheme. 92a:13015 


13A20 Brauer groups [see also 12Gxx, 16H05] 


DeMeyer, Frank (with Greenfield, G. R.) The uniform group under change of rings. 
92b:13006 

Ford, Timothy J. On the Brauer group and quotient singularities. 92h:13004 

Greenfield, G. R. see DeMeyer, Frank, 92b:13006 

Kanzaki, Teruo Totally real algebras. 92b:13007 

Nelis, Peter (with Van Oystaeyen, Freddy) The projective Schur subgroup of the Brauer 
group and root groups of finite groups. 92b:13008 

Van Oystaeyen, Freddy see Nelis, Peter, 92b:13008 


Items with secondary classifications in 13A20 

Ford, Timothy J. Division algebras over nonlocal Henselian surfaces. 92d:12011 
Nelis, Peter Schur and projective Schur groups of number rings. 92g:11112 
Tilborghs, Francis An anti-homomorphism for the Brauer-Long group. 92c:16037 
Ulbrich, K.-H. Generalized crossed products and Azumaya algebras. 92a:16022 


13430 Associated graded rings of ideals (Rees ring, form ring) 
and related topics 


Bruns, Winfried Algebras defined by powers of determinantal ideals. 92h:13005 

Cutkosky, Steven Dale Symbolic algebras of monomial primes. 92b:13009 

Goto, Shiro see Morimoto, Mayumi, 92m:13002 

Morimoto, Mayumi (with Goto, Shiro) Non-Cohen-Macaulay symbolic blow-ups for space 
monomial curves. 92m:13002 

O’Carroll, L. A note on Artin-Rees numbers. 92i:13001a 

— Addendum to: “A note on Artin-Rees numbers”. 92i:13001b 

Ooishi, Akira On the associated graded modules of canonical modules. 92h:13006 

Srinivasan, Hema On finite generation of symbolic algebras of monomial primes. 
92m:13003 

Vasconcelos, Wolmer V. Symmetric algebras. 92d:13002 

— On the equations of Rees algebras. 92c:13006 

Verma, J. K. Rees algebras of contracted ideals in two-dimensional regular local rings. 
92j:13004 

— Joint reductions and Rees algebras. 92h:13007 





13A30 


Items with secondary classifications in 13A30 

Achilles, Riidiger (with Manaresi, Mirella) Analytic spread of an ideal and Stiickrad-Vogel 
intersection cycle. 92i:14003 

Andruskiewitsch, Nicolas (with Tirao, Juan A.) A restriction theorem for modules having a 
spherical submodule. 92h:14034 

Elias, Juan (with Valla, Giuseppe) Rigid Hilbert functions. 92e:13010 

Goto, Shiro (with Nishida, Koji; Shimoda, Yasuhiro) The Gorensteinness of symbolic Rees 
algebras for space curves. 92h:13019 

Herzog, Jiirgen (with Ulrich, Bernd) Self-linked curve singularities. 92¢:13010 

Kotzev, Boris V. Determinantal ideals of linear type of a generic symmetric matrix. 
92g:13015 

Manaresi, Mirella see Achilles, Riidiger, 92i:14003 

Morales, Marcel Noetherian symbolic blow-ups. 92c:13020 

Nguyén Tu’ Cu’d’ng On the length of the powers of systems of parameters in local ring. 
92b:13033 

Nishida, Koji see Goto, Shiro; et al., 92h:13019 

Ooishi, Akira On the conductor of the blowing-up of a one-dimensional Gorenstein local 
ring. 92k:13013 

Schenzel, Peter Examples of Gorenstein domains and symbolic powers of monomial space 
curves. 92h:13021 

Shimoda, Yasuhiro see Goto, Shiro; et al., 92h:13019 

Tirao, Juan A. see Andruskiewitsch, Nicolas, 92h:14034 

Ulrich, Bernd see Herzog, Jiirgen, 92c:13010 

Valla, Giuseppe see Elias, Juan, 92e:13010 


13A35 Characteristic p methods (Frobenius endomorphism) and 
reduction to characteristic p [see also 13Mxx] 


Hochster, Melvin (with Huneke, Craig) Tight closure and elements of small order in 
integral extensions. 92i:13002 

Huneke, Craig see Hochster, Melvin, 92i:13002 

Watanabe, Keiichi F-regular and F-pure normal graded rings. 92g:13003 


Items with secondary classifications in 13A35 

Cho, Young-Hyun see Shin, Yongsu, 92g:13027 

Hochster, Melvin (with Huneke, Craig) Infinite integral extensions and big Cohen- 
Macaulay algebras. 92m:13023 

Huneke, Craig see Hochster, Melvin, 92m:13023 

Nakamura, Yukio Local rings of Cohen-Macaulay F-rational rings are F-rational. 
92h:13020 

Sharp, R. Y. The Frobenius homomorphism, and local cohomology in regular local rings of 
positive characteristic. 92g:13022 

Shin, Yongsu (with Cho, Young-Hyun) Socle of C-M local rings and strong F-regularity. 
92g:13027 


13A50 Invariant theory [see also 14D25] 


Campbell, H. E. A. (with Hughes, I.; Pollack, R. D.) Vector invariants of symmetric groups. 
92g:13004 

— (with Hughes, I.; Pollack, R. D.) Rings of invariants and p-Sylow subgroups. 92h:13008 

Hughes, I. see Campbell, H. E. A.; et al., 92g:13004 and 92h:13008 

Maeda, Takashi On the rationality of the invariant field under the action of SL(3,C) with 
signature (2,1). 92m:13004 

Pollack, R. D. see Campbell, H. E. A.; et al., 92g:13004 and 92h:13008 

Popov, V. L. Invariant theory. 92b:13010 

Van den Bergh, Michel Cohen-Macaulayness of modules of invariants for SL2. 92i:13003 

White, Neil L. Invariant-theoretic computation in projective geometry. 92m:13005 


Items with secondary classifications in 13A50 

Baba, Kiyoshi An example of the non-Noetherian invariant subring of a Noetherian 
domain. 92a:13002 

Bessenrodt, Christine (with Le Bruyn, Lieven) Stable rationality of certain PGL,-quotients. 
92m:14060 

Ishibashi, Yasunori (with Suzuki, Takumi) Note on rings of invariants associated with p,- 
actions. 92¢:14045 

Kobayashi, Yuji (with Nagamachi, Shigeaki) Characteristic functions and invariants of 
supermatrices. 92c:17003 

Le Bruyn, Lieven see Bessenrodt, Christine, 92m:14060 

Maeda, Takashi On the invariant field of binary octavics. 92g:14047 

Mestre, Jean-Francois Construction de courbes de genre 2 a partir de leurs modules. 
[Constructing genus-2 curves from their moduli] 92g:14022 

Nagamachi, Shigeaki see Kobayashi, Yuji, 92c:17003 

Popov, V. L. see Vinberg, E. B., 92d:14010 

Reiner, Victor Quotients of Coxeter complexes and P-partitions. 92i:05223 

Roberts, Joel (with Weyman, Jerzy) A short proof of a theorem of M. Hashimoto. 
92a:13009 

Suzuki, Takumi see Ishibashi, Yasunori, 92c:14045 

Tan, Lin On the Popov-Pommerening conjecture for groups of type G2. 92k:14047 

Vinberg, E. B. (with Popov, V.L.) Invariant theory. (Russian) 924:14010 

Weinberg, David A. (with Witte, Dave) Topological equivalence of real binary forms. 
92a:12062 

Weston, Dana Divisorial properties of the canonical module for invariant subrings. 
92g:13014 

Weyman, Jerzy see Roberts, Joel, 92a:13009 

Witte, Dave see Weinberg, David A., 92a:12002 


13A99 None of the above, but in this section 


Dobbs, David E. (with Kiltinen, John O.; Orndorff, Bobby J.) Commutative rings with 
homomorphic power functions. 92m:13006 


COMMUTATIVE RINGS AND ALGEBRAS 


Kiltinen, John O. see Dobbs, David E.; et al., 92m:13006 

Malik, D.S. (with Mordeson, John N.) Extensions of fuzzy subrings and fuzzy ideals. 
92m:13007 

Mordeson, John N. see Malik, D. S., 92m:13007 

Orndorff, Bobby J. see Dobbs, David E.; et al., 92m:13006 


Items with secondary classifications in 13A99 

Gilmer, Robert (with Heinzer, William J.) Zero-dimensionality in commutative rings. 
92j:13011 

Gonzalez, Santos (with Martinez Lopez, Consuelo) Periodic associative rings and order 
structure. 92¢:06039 

Goodman, Irwin R. (with Nguyen, Hung T.) Foundations for an algebraic theory of 
conditioning. 92k:06018 

Heinzer, William J. see Gilmer, Robert, 92j:13011 

Henriksen, Melvin (with Kopperman, Ralph) A general theory of structure spaces with 
applications to spaces of prime ideals. 92j:14001 

Kopperman, Ralph see Henriksen, Melvin, 92j:14001 

Martinez Lépez, Consuelo see Gonzalez, Santos, 92e:06039 

Nguyen, Hung T. see Goodman, Irwin R., 92k:06018 

Zhang, Zhi Rang A structure theorem for FC-groups. (Chinese) 92k:20074 


13Bxx Ring extensions and related topics 


13B02 Extension theory 


Jia, Bao-Ping Splitting of primes in extension domains. 92h:13009 

Schutte, H. J. Primitive elements for commutative ring extensions. (Afrikaans. English 
summary) 92f:13005 

Sugatani, Takasi (with Yoshida, Ken-ichi) Divisorially flat extensions of an integral 
domain. 92h:13010 

Yoshida, Ken-ichi see Sugatani, Takasi, 92h:13010 


Items with secondary classifications in 13B02 


Dobbs, David E. Integral domains finite over each underring. 92m:13022 

Jeremias Lépez, Ana A note on localization and the extension property. (Spanish. English 
summary) (see 92g:00024) 

Lang, Jeffrey Purely inseparable extensions of unique factorization domains. 92e:13012 

Yang, Jing Hua The global homological dimensions of algebraic extension rings. (Chinese. 
English summary) 92¢:13012 


13B05 Galois theory (commutative rings) 


Baba, Kiyoshi Examples of Krull domains in Galois descent theory. II. 92g:13005 

Ferrero, Miguel A. (with Paques, Antonio; Solecki, Andrzej) On Z,-extensions of 
commutative rings. 92g:13006 

Kishimoto, Kazuo! On P-Galois extensions of rings of cyclic type. 92¢:13007 

Paques, Antonio see Ferrero, Miguel A.; et al., 92g:13006 

Sameali, Mohammed Salah Quelques propriétés de la cloture séparable d’un anneau 
connexe. [Some properties of the maximal separable extension of a connected ring] 
92g:13007 

Schutte, H. J. Finite automorphism groups of reduced commutative rings. 92g:13008 

Solecki, Andrzej see Ferrero, Miguel A.; et al., 92g:13006 


Items with secondary classifications in 13B05 

Harrison, D. K. (with McKenzie, Thomas) Toward an arithmetic of polynomials. 
92m:13008 

Kikumasa, Isao (with Nagahara, Takasi) On primitive elements of Galois extensions of 
finite commutative algebras. 92d:12009 

— (with Nagahara, Takasi) Primitive elements of Galois extensions of finite fields. 
92i:12006 

McKenzie, Thomas see Harrison, D. K., 92m:13008 

Nagahara, Takasi see Kikumasa, Isao, 92d:12009 and 92i:12006 


13B10 Morphisms and derivations 


Baba, Kiyoshi An example of the non-Noetherian invariant subring of a Noetherian 
domain. 92a:13002 

Barkee, Boo (with Dennis, R. Keith; Wang, Stuart Sui Sheng) Automorphisms are 
determined by their face polynomials. 92a:13003 

Connell, Edwin (with Zweibel, John) Exact and coexact matrices. 92i:13004 

Dennis, R. Keith see Barkee, Boo; et al., 92a:13003 

Dillen, Franki Polynomials with constant Hessian determinant. 92b:13011 

Hadas, Ofer On the vertices of Newton polytopes associated with an automorphism of the 
ring of polynomials. 92i:13005 

Molinelli, Silvia (with Tamone, Grazia) On some invariant ideals, and on extension of 
differentiations to seminormalization. 92e:13003 

Nakai, Yoshikazu * Kakanwa to bibun. (Japanese) [Commutative rings and differentials] 
92i:13006 

Tamone, Grazia see Molinelli, Silvia, 92e:13003 

Wang, Stuart Sui Sheng see Barkee, Boo; et al., 92a:13003 

Zweibel, John see Connell, Edwin, 92i:13004 


Items with secondary classifications in 13B10 

Adjamagbo, Kossivi (with van den Essen, Arno) A differential criterion and formula for the 
inversion of a polynomial map in several variables. 92d:14011 

Druzkowski, Ludwik M. A geometric approach to the Jacobian conjecture in C?. 92k:14013 

van den Essen, Arno Polynomial maps and the Jacobian conjecture. 92k:14014 

— see also Adjamagbo, Kossivi, 92d:14011 





221 1992 


Jelonek, Zbigniew Sets determining polynomial automorphisms of C?. (Russian summary) 
92¢:14009 

Lang, Jeffrey Newton polygons of Jacobian pairs. 92i:14012 

— Jacobian pairs. I]. 92k:14015 

Narvdez-Macarro, Luis A note on the behaviour under a ground field extension of 
quasicoefficient fields. 92i:13017 

Ollivier, Francois Canonical bases: relations with standard bases, finiteness conditions and 
application to tame automorphisms. 92¢:13026 

Semrl, Peter On ring derivations and quadratic functionals. 92h:46076 

Spodzieja, Stanislaw On commutativity of the composition of Whitney operators. (Polish 
summary) 92i:14013 

Tian, Wei Dong The Jacobian conjecture: a new approach. (Chinese) 92m:14024 

Wang, Jing Zhou Automorphism groups of projective modules. (Chinese. English summary) 
92f:13013 


13B15 Ramification theory 


Abhyankar, Shreeram S. (with Heinzer, William J.) Derivativewise unramified infinite 
integral extensions. 92a:13004 

Erastov, K. D. Integral closure of a factorial ring. (Russian) 92g:13009 

Heinzer, William J. see Abhyankar, Shreeram S., 92a:13004 


Items with secondary classifications in 13B15 


Griffith, Phillip Some results in local rings on ramification in low codimension. 92c:13017 

Lamprecht, Erich Verzweig' Diffe und Ganzheitsbasen bei Radikaler- 
weiterungen. I. [Bifurcation o orders, differents and integral bases in radical extensions. I} 
92h:11093 

— Verzweig d Diff und Ganzheitsbasen bei Radikalerweiterungen. II. 
[Bifurcation orders, differents and integral bases in radical extensions. II] 92h:11094 








13B21 Integral dependence 
Chu, Hua On the integral dependence of power series rings. 92j:13005 


Items with secondary classifications in 13B21 

Kirby, David (with Sedighi, H.) One-dimensional Cohen-Macaulay local rings of multiplic- 
ity three. 92i:13018 

Philippon, Patrice Dénominateurs dans le théoréme des zéros de Hilbert. [Denominators in 
Hilbert’s Nullstellensatz] 92i:13008 

Sedighi, H. see Kirby, David, 92i:13018 


13B22 Integral closure; integrally closed rings, related rings 
(Japanese, etc.) 

Anderson, David F. (with Dobbs, David E.; Roitman, Moshe) Root closure in commutative 
rings. 92f:13006 

Cho, Young-Hyun (with Moon, M. I.) The weak F-regularity of Cohen-Macaulay local 
rings. 92k:13002 

Dichi, Henri (with Sangare, Daouda) Filtrations, asymptotic and Priiferian closures, 
cancellation laws. 92b:13012 

Dobbs, David E. see Anderson, David F.; et al., 92f:13006 

Guerra, Lucio On the principal ideals of the coordinate ring of a projective variety, and the 
S> property. (Italian. English summary) 92k:13003 

Lucas, Thomas G. The complete integral closure of R[X]. 92f:13007 

Moon, M.I. see Cho, Young-Hyun, 92k:13002 

Roitman, Moshe see Anderson, David F.; et al., 92f:13006 

Sangare, Daouda see Dichi, Henri, 92b:13012 

Vasconcelos, Wolmer V. Computing the integral closure of an affine domain. 92b:13013 

Ward, André A homological characterization of local J-rings. 92f:13008 


Items with secondary classifications in 13B22 

Abhyankar, Shreeram S. (with Heinzer, William J.) Derivativewise unramified infinite 
integral extensions. 92a:13004 

Anderson, David F. (with Dobbs, David E.) Fields in which seminormality implies 
normality. 92b:13030 

— (with Dobbs, David E.; Eakin, Paul M., Jr.; Heinzer, William J.) On the generalized 
principal ideal theorem and Krull domains. 92f:13003 

— (with Houston, Evan G.; Zafrullah, Muhammad) Pseudo-integrality. 92f:13025 

Dobbs, David E. see Anderson, David F., 92b:13030 and 92£:13003 

Eakin, Paul M., Jr. see Anderson, David F.; et al., 92f:13003 

Erastov, K. D. Integral closure of a factorial ring. (Russian) 92g:13009 

Heinzer, William J. see Abhyankar, Shreeram S., 92a:13004 and Anderson, David F.; et al., 
92£:13003 

Hochster, Melvin (with Huneke, Craig) Tight closure and elements of small order in 
integral extensions. 92i:13002 

— (with Huneke, Craig) Infinite integral extensions and big Cohen-Macaulay algebras. 
92m:13023 

Houston, Evan G. see Anderson, David F.; et al., 92f:13025 

Huneke, Craig see Hochster, Melvin, 92i:13002 and 92m:13023 

Kang, Byung Gyun A characterization of Krull rings with zero divisors. 92f:13004 

Martin, Mary B. (with Zafrullah, Muhammad) (-linked overrings of Noetherian weakly 
factorial domains. 92i:13014 

McAdam, Stephen (with Ratliff, L. J., Jr.) The linearity of projective relations. 92b:13003 

— Bounded deviations. 92b:13004 

Morales, Mafcel Noetherian symbulic blow-ups. 92c:13020 

Ratliff, L. J., Jr. Residual division, semi-prime operations, and a theorem of Sakuma and 
Okuyama. 92g:13001 

— see also McAdam, Stephen, 92b:13003 


13B_ Ring extensions and related topics 


13B30 


Samaali, Mohammed Salah Quelques propriétés de la cléture séparable d’un anneau 
connexe. [Some properties of the maximal separable extension of a connected ring] 
92g:13007 

Sharp, R. Y. (with Tiras, Y.; Yassi, M.) Integral closures of ideals relative to local 
cohomology modules over quasi-unmixed local rings. 92b:13023 

Tabaa, Mohamed Sur une question de compacité linéaire. [On a question of linear 
compactness] 92j:13023 

Teissier, Bernard Mondmes, volumes et multiplicités. [Monomials, volumes and multiplici- 
ties] 92e:14003 

Tiras, Y. see Sharp, R. Y.; et al.. 92b:13023 

Yassi, M. see Sharp, R. Y.; et al., 92b:13023 

Zafrullah, Muhammad see Anderson, David F.; et al., 92f:13025 and Martin, Mary B., 
92i:13014 


13B24 Going up; going down; going between 

Dobbs, David E. (with Fontana, Marco) Integral overrings of two-dimensional going-down 
domains. 92i:13007 

Fontana, Marco see Dobbs, David E., 92i:13007 


Items with secondary classifications in 13B24 

Dobbs, David E. (with Fontana, Marco) Universally catenarian domains of D + M type. II. 
92e:13006 

— A note on strong locally divided domains. 92h:13001 

Fontana, Marco see Dobbs, David E., 92e:13006 


13B25 Polynomials over commutative rings 


Gilmer, Robert On the irreducibility of pure difference binomials. 92f:13009 

Harrison, D. K. (with McKenzie, Thomas) Toward an arithmetic of polynomials. 
92m:13008 

McKenzie, Thomas see Harrison, D. K., 92m:13008 

Philippon, Patrice Dénominateurs dans le théoréme des zéros de Hilbert. [Denominators in 
Hilbert’s Nullstellensatz] 92i:13008 

Prészytski, Andrzej Forms and mappings. IV. Degree 4. (Russian summary) 92d:13003 


Items with secondary classifications in 13B25 

Anderson, D. D. (with Anderson, David F.; Zafrullah, Muhammad) Rings between D[X] 
and K[X]. 92¢:13014 

Anderson, David F. see Anderson, D. D.; et al., 92c:13014 

Barkee, Boo (with Dennis, R. Keith; Wang, Stuart Sui Sheng) Automorphisms are 
determined by their face polynomials. 92a:13003 

Brewer, James W. (with Klingler, Lee) The ring of integer-valued polynomials of a semi- 
local principal-ideal domain. 92g:13025 

Cahen, Paul-Jean Polyndémes a valeurs entiéres sur un anneau non analytiquement 
irréductible. [Integer-valued polynomials over a ring that is not analytically irreducible] 
92i:13015 

Chabert, Jean-Luc Anneaux de polynémes a valeurs entiéres et anneaux de Priifer. (English 
summary) [Rings of integer-valued polynomials and Priifer domains] 92d:13011 

Conti, Pasqualina (with Traverso, Carlo) Computing the conductor of an integral 
extension. 92j:13025 

Dennis, R. Keith see Barkee, Boo; et al., 92a:13003 

Dickenstein, Alicia M. (with Sessa, Carmen) An effective residual criterion for the 
membership problem in C[z),---,Z,]. 92k:13011 

Glaz, Sarah Hereditary localizations of polynomial rings. 92c:13011 

Gutiérrez, Jaime G. A polynomial decomposition algorithm over factorial domains. 
92f:13022 

Kabbaj, Salah Sur les S-domaines forts de Kaplansky. (English summary) [The strong S- 
domains of Kaplansky] 92d:13008 

Kanemitsu, Mitsuo (with Yoshida, Ken-ichi) Conditions for an ideal in a polynomial ring 
to be principal. 92¢:13004 

Klingler, Lee see Brewer, James W., 92g:13025 

Nashier, Budh Strongly regular rings. 92a:13006 

Oda, Susumu On quasinormality of a group ring R[Z"]. 92f:13023 

Picavet, Gabriel Endomorphismes polynomiaux plats. (English summary) [Flat polynomial 
endomorphisms] 92k:13007 

Schutte, H. J. On the Krull dimension of transcendental extensions of commutative rings. 
92b:13018 

Sessa, Carmen see Dickenstein, Alicia M., 92k:13011 

Traverso, Carlo see Conti, Pasqualina, 92j:13025 

Varma, P. L. N. Efficient generation of zero-dimensional ideals in polynomial rings. 
92a:13017 

Wang, Stuart Sui Sheng see Barkee, Boo; et al., 92a:13003 

Yoshida, Ken-ichi see Kanemitsu, Mitsuo, 92c:13004 

Zafrullah, Muhammad see Anderson, D. D.; et al., 92c:13014 


13B30 Quotients and localization 


Faith, Carl Defeat of the FP?F conjecture: Huckaba’s example. 92k:13004 

Flores de Chela, D. Modules of generalized fractions. (Spanish) 92m:13009 

Jeremias Lépez, Ana A note on localization and the extension property. (Spanish. English 
summary) (see 92g:00024) 


Items with secondary classifications in 13B30 

Al-Khouja, I. A. see Nakkar, H. M., 92j:06009 

Anderson, David F. (with Houston, Evan G.; Zafrullah, Muhammad) Pseudo-integrality. 
92f:13025 

Houston, Evan G. see Anderson, David F.; et al., 92f:13025 

Mora, Teo La queste del Saint Gr,(AL): a computational approach to local algebra. 
92j:13028 





13B30 


Nakamura, Yukio Local rings of Cohen-Macaulay F-rational rings are F-rational. 
92h:13020 

Nakkar, H. M. (with Al-Khouja, I. A.) Locally Noetherian lattice modules. 92j:06009 

Zafrullah, Muhammad see Anderson, David F.; et al., 92f:13025 


13B35 Completion [see also 13J10] 
Rotthaus, Christel On rings with low-dimensional formal fibres. 92j:13006 


Items with secondary classifications in 13B35 

Arezzo, Domenico m-adic topologies and completions. (Italian) 92k:13015 

Enochs, Edger E. (with Jenda, Overtoun M. G.) Trivial formal fibres and formal Laurent 
series. 92i:13019 

Heinzer, William J. (with Sally, Judith D.) Extensions of valuations to the completion of a 
local domain. 92j:13003 

Jenda, Overtoun M. G. see Enochs, Edgar E., 92i:13019 

Sally, Judith D. see Heinzer, William J., 92j:13003 

Ward, André A homological characterization of local J-rings. 92f:13005 


13B40 Etale extensions and Henselization; Artin approximation 
[see also 13J15, 14B12] 


Samaali, Mohammed Salah Anneaux henséliens et cléture séparable. [Hensel rings and 
maximal separable extension] 92j:13007 


13B99 None of the above, but in this section 


Items with secondary classifications in 13B99 

Ogoma, Tetsushi Noetherian property of inductive limits of Noetherian local rings. 
92b:13024 

Tanimoto, Hiroshi Maximal quasi-coefficient fields of a Noetherian local ring. 92f:13011 


13Cxx Theory of modules and ideals 


13C05 Structure, classification theorems 


Beccari, Giannina (with Davis, Edward D.; Massaza, Carla) Extremality with respect to the 
estimates of Dubreil-Campanella: splitting theorems. 92h:13011 

Bresinsky, Henrik Binomial generating sets for monomial curves, with applications in A‘. 
92e:13004 

Chouinard, Leo (with Wiegand, Sylvia) Ranks of indecomposable modules over one- 
dimensional rings. II. 92k:13005 

Davis, Edward D. see Beccari, Giannina; et al., 92h:13011 

Dong, Xue Dong On a problem of S. Singh and R. Kumar. (Chinese) 

Fuchs, Laszl6' (with Viljoen, G.) A weaker form of Baer’s splitting problem over valuation 
domains. 92e:13005 

Guralnick, Robert M. (with Levy, Lawrence S.) Cancellation and direct summands in 
dimension 1. 92h:13012 

Heitmann, Raymond (with Wiegand, Roger) Direct sums of ideals. 92f:13010 

Levy, Lawrence S. see Guralnick, Robert M., 92h:13012 


Liu, He Guo Two uniqueness theorems for bases of modules over commutative rings with 1. 


(Chinese) 
La, C.-P. M-radicals of submodules in modules. II. 92b:13014 
Massaza, Carla see Beccari, Giannina; et al., 92h:13011 
Rudlof, Peter On the structure of couniform and complemented modules. 92m:13010 
Rush, David E. Rings with two-generated ideals. 92j:13008 
Tanimoto, Hiroshi Maximal quasi-coefficient fields of a Noetherian local ring. 92f:13011 
Viljoen, G. see Fuchs, Laszl6' , 92e:13005 
Wiegand, Roger see Heitmann, Raymond, 92f:13010 
Wiegand, Sylvia see Chouinard, Leo, 92k:13005 


Items with secondary classifications in 13C05 

Beccari, Giannina (with Massaza, Carla) A scheme structure for the equivalence class of all 
the ideals in DU1 having the same degree matrix. 92e:14001 

Eklof, Paul C. A transfer theorem for nonstandard uniserials. 92f:13027 

Fuchs, Laszl6' (with Meijer, Alko R.) Note on modules over Priifer domains. 92f:13021 

(Khargonekar, Pramod P.) see Sharma, Pramod K., 92f:93029 

Kirby, David Dimension and length for Artinian modules. 92b:13025 

Low, Gordan M. (with Smith, Patrick F.) Multiplication modules and ideals. 92a:13008 

Massaza, Carla see Beccari, Giannina, 92e:14001 

McAdam, Stephen (with Ratliff, L. J., Jr.) The linearity of projective relations. 92b:13003 

— Bounded deviations. 92b:13004 

Meijer, Alko R. see Fuchs, Laszi6' , 92f:13021 

Naoum, A.G. On the ring of endomorphisms of a finitely generated multiplication module. 
92g:13010 

O’Carroll, L. A note on Artin-Rees numbers. 92i:13001a 

— Addendum to: “A note on Artin-Rees numbers”. 92i:13001b 

Ratliff, L. J., Jr. see McAdam, Stephen, 92b:13003 

Schabhiiser, Gerhard * Kiirzungseigenschaften projektiver Moduln iiber Monoidringen. 
(German) [Cancellation properties of projective modules over monoid rings] 92j:13009 

Schenzel, Peter Examples of Gorenstein domains and symbolic powers of monomial space 
curves. 92h:13021 

Sharma, Pramod K. Comments to: “On matrix fraction representations for linear systems 
over commutative rings” [SIAM J. Control Optim. 20 (1982), no. 2, 172-197; MR 
83j:93030] by P. P. Khargonekar. 92f:93029 

Siddoway, Michael F. On endomorphism rings of modules over Henselian rings. 92e:16023 

Smith, Patrick F. see Low, Gordan M., 92a:13008 

Watanabe, Junzo The syzygies of m-full ideals. 92b:13019 


COMMUTATIVE RINGS AND ALGEBRAS 1992 222 


13C10 Projective and free modules and ideals [see also 18G05, 
19A13] 


Al-Ezeh, H. Some results on almost pp-rings. (Arabic summary) 92f:13012 

Jelonek, Zbigniew Maximal sets of linearly independent vectors in a free module over a 
commutative ring. 92m:13011 

Jeremias Lépez, Ana Projective objects in the category of (R, a)-modules. (Spanish. English 
summary) (see 92b:00044) 

Katz, Daniel Note on projective modules. 924:13004 

Lemmer, A. A. (with Naudé, G.) A glance back at the Quillen-Suslin theorem and the recent 
status of the Bass-Quillen conjecture. (Afrikaans. English summary) 92a:13005 

Logar, Alessandro (with Sturmfels, Bernd) Algorithms for the Quillen-Suslin theorem. 
92k:13006 

Nashier, Budh Strongly regular rings. 92a:13006 

Naudé, G. see Lemmer, A. A., 92a:13005 

Schabhiiser, Gerhard * Kiirzungseigenschaften projektiver Moduln iiber Monoidringen. 
(German) [Cancellation properties of projective modules over monoid rings] 92j:13009 

Seo, Gyeong-Sig On the minimal generating systems of modules and projective modules 
over semilocal domains. 92j:13010 

Sturmfels, Bernd see Logar, Alessandro, 92k:13006 

Swan, Richard G. Gubeladze’s proof of Anderson’s conjecture. 92m:13012 

Wang, Jing Zhou Automorphism groups of projective modules. (Chinese. English summary) 
92£:13013 


Items with secondary classifications in 13C10 

Baba, Kiyoshi Examples of Krull domains in Galois descent theory. II. 92g:13005 

Chao, Yi Stai see Cheng, Fu Chang, 92b:13021 

Cheng, Fu Chang (with Chao, Yi Stai) On the structure of coherent FP-rings. 92b:13021 

DeMeyer, Frank (with Kakakhail, Hainya) Generalized equivalence of matrices over 
Priifer domains. 92g:13024 

Gdbel, Riidiger (with Goldsmith, B.) On separable torsion-free modules of countable 
density character. 92m:13013 

Goldsmith, B. see Gobel, Ridiger, 92m:13013 

Kakakhail, Hainya see DeMeyer, Frank, 92g:13024 

Landsburg, Steven E. Patching and analytic isomorphisms. 92f:13016 

Pan, Shi Zhong On injective simple modules over a Noetherian commutative ring. 
92d:13006 

Picavet, Gabriel Endomorphismes polynomiaux plats. (English summary) [Flat polynomial 
endomorphisms] 92k:13007 

Traldi, Lorenzo Higher Fitting invariants. 92d:13010 

Yuzvinsky, Sergey Projective modules over rings of global sections of flasque sheaves. 
92b:14001 


13C11 Injective and flat modules and ideals [see also 18G05] 


Belshoff, Richard G. Matlis reflexive modules. 924:13005 

Naoum, A. G. Flat modules and multiplication modules. 92i:13009 

Pan, Shi Zhong On injective simple modules over a Noetherian commutative ring. 
92d:13006 

Picavet, Gabriel Endomorphismes polynomiaux plats. (English summary) [Flat polynomial 
endomorphisms] 92k:13007 

Wickstead, A. W. An intrinsic characterisation of self-injective semi-prime commutative 
rings. 92a:13007 

Xu, Jin Zhong Flatness and injectivity of simple modules over a commutative ring. 
92c:13008 


Items with secondary classifications in 13C11 


Al-Ezeh, H. Some results on almost pp-rings. (Arabic summary) 92f:13012 

Ansari Toroghy, H. (with Sharp, R. Y.) Asymptotic behaviour of ideals relative to injective 
modules over commutative Noetherian rings. 92b:13005 

Enochs, Edgar E. (with Jenda, Overtoun M. G.) Trivial formal fibres and formal Laurent 
series. 92i:13019 

Faith, Carl Defeat of the FP?F conjecture: Huckaba’s example. 92k:13004 

Jenda, Overtoun M. G. see Enochs, Edgar E., 92i:13019 

Onoda, Nobuharu Algebras with affine fibres over an excellent ring. 92a:13013 

Pan, Shi Zhong Commutative quasi-Frobenius rings. 92f:13019 

Sharp, R. Y. see Ansari Toroghy, H., 92b:13005 


13C12 Torsion modules and ideals 


Pretorius, L.M. (with Schoeman, M. J.) Torsion-completeness over domains with one- 
dimensional quotient field. 92d:13007 
Schoeman, M. J. see Pretorius, L. M., 92d:13007 


Items with secondary classifications in 13C12 

Bazzoni, Silvana (with Salce, Luigi) Equimorphism classes of uniserial modules over 
valuation domains. 92k:13008 

Fay, Temple H. Cotorsion modules and projective dimension one. 92a:13011 

Heitmann, Raymond (with Wiegand, Roger) Direct sums of ideals. 92f:13010 

Salce, Luigi see Bazzoni, Silvana, 92k:13008 

Wiegand, Roger see Heitmann, Raymond, 92f:13010 


13C13 Other special types 


Bazzoni, Silvana (with Salce, Luigi) Equimorphism classes of uniserial modules over 
valuation domains. 92k:13008 

Gobel, Riidiger (with Goldsmith, B.) On separable torsion-free modules of countable 
density character. 92m:13013 

— (with Goldsmith, B.) On almost-free modules over complete discrete valuation rings. 
$2m:13014 





223 1992 


Goldsmith, B. see Gibel, Riidiger, 92m:13013 and 92m:13014 

Low, Gordan M. (with Smith, Patrick F.) Multiplication modules and ideals. 92a:13008 

McCasland, Roy L. (with Moore, Marion E.) On radicals of submodules. 92f:13014 

Monari Martinez, Elisabetta Some properties of Butler modules over valuation domains. 
92m:13015 

Moore, Marion E. see McCasland, Roy L., 92f:13014 

Naoum, A. G. On the ring of endomorphisms of a finitely generated multiplication module. 
92g:13010 

Pierce, R.S. (with Vinsonhaler, C. 1.) Classifying E-rings. 92h:13013 

Salce, Luigi see Bazzoni, Silvana, 92k:13008 

Smith, Patrick F. see Low, Gordan M., 92a:13008 

Vinsonhaler, C.1. see Pierce, R. S., 92h:13013 

Wiegand, Roger Torsion-free modules over regular domains of dimension two. 92m:13016 


Items with secondary classifications in 13C13 

Chao, Yi Stai see Cheng, Fu Chang, 92b:13021 

Cheng, Fu Chang (with Chao, Yi Stai) On the structure of coherent FP-rings. 92b:13021 

Fay, Temple H. Cotorsion modules and projective dimension one. 92a:13011 

Fuchs, Laszl6! (with Monari Martinez, Elisabetta) Butler modules over valuation domains. 
924:13013 

Monari Martinez, Elisabetta see Fuchs, Laszlé6', 924:13013 

O'Neill, John D. Slender modules over various rings. 92j:16005 


13C14 Cohen-Macaulay modules [see also 13H10] 


Backelin, Jorgen see Herzog, Jiirgen; et al., 92g:13011 

Bjorner, Anders (with Hibi, Takayuki) Betti numbers of Buchsbaum complexes. 92b:13015 

Herzog, Jiirgen (with Ulrich, Bernd; Backelin, Jorgen) Linear maximal Cohen-Macaulay 
modules over strict complete intersections. 92g:13011 

Hibi, Takayuki see Bjérner, Anders, 92b:13015 

Renteria, Carlos (with Villarreal, Rafael H.) Koszul homology of Cohen-Macaulay rings 
with linear resolutions. 92h:13014 

Torrecillas Jover, Blas (with Van Oystaeyen, Freddy) On M-sequences associated to 
filtrations. 92c:13009 

Ulrich, Bernd see Herzog, Jiirgen; et al., 92g:13011 

Van Oystaeyen, Freddy see Torrecillas Jover, Blas, 92c:13009 

Villarreal, Rafael H. see Renteria, Carlos, 92h:13014 

Yoshino, Yuji * Cohen-Macaulay modules over Cohen-Macaulay rings. 92b:13016 


Items with secondary classifications in 13C14 

Bruns, Winfried The Evans-Griffith syzygy theorem and Bass numbers. 92j:13015 

Kustin, Andrew R. (with Ulrich, Bernd) A family of complexes associated to an almost 
alternating map, with applications to residual intersections. 92i:13012 

Okiyama, Satoru A local ring is CM if and only if its residue field has a CM syzygy. 
92m:13017 

Picavet, Gabriel Endomorphismes polynomiaux plats. (English summary) [Flat polynomial 
endomorphisms] 92k:13007 

Sturmfels, Bernd (with White, Neil L.) Computing combinatorial decompositions of rings. 
92£:13031 

Ulrich, Bernd see Kustin, Andrew R., 92i:13012 

Van den Bergh, Michel Cohen-Macaulayness of modules of invariants for SL. 92i:13003 

Weston, Dana Divisorial properties of the canonical module for invariant subrings. 
92g:13014 

White, Neil L. see Sturmfels, Bernd, 92f:13031 


13C15 Dimension theory, depth, related rings (catenary, etc.) 

Anderson, David F. (with Dobbs, David E.; Fontana, Marco) Notes on N-dimension 
sequences. 92b:13017 

Dobbs, David E. (with Fontana, Marco) Universally catenarian domains of D + M type. II. 
92e:13006 

— see also Anderson, David F.; et al., 92b:13017 

Eto, Kazufumi see Hinohara, Yukitoshi, 92j:13012 

Fontana, Marco see Anderson, David F.; et al., 92b:13017 and Dobbs, David E., 92e:13006 

Gilmer, Robert (with Heinzer, William J.) Zero-dimensionality in commutative rings. 
92j:13011 

— (with Heinzer, William J.) Products of commutative rings and zero-dimensionality. 
92h:13015 

Heinzer, William J. see Gilmer, Robert, 92h:13015 and 92j:13011 

Hinohara, Yukitoshi (with Eto, Kazufumi) A theorem on the number of generators of 
ideals. 92j:13012 

Kabbaj, Salah Sur les S-domaines forts de Kaplansky. (English summary) [The strong S- 
domains of Kaplansky] 92d:13008 

Khalis, M. Dimension de Krull des anneaux de séries formelles sur un produit fibré. 
(English summary) [Krull dimension of rings of formal power series over pullbacks] 
92g:13012 

Schutte, H. J. On the Krull dimension of transcendental extensions of commutative rings. 
92b:13018 

Zhao, Yi Cai A note on coherent rings of dimension two. 92j:13013 


Items with secondary classifications in 13C15 

Bruns, Winfried The Evans-Griffith syzygy theorem and Bass numbers. 92j:13015 

Charalambous, Hara Betti numbers of multigraded modules. 92b:13020 

Kazuhiko An application of intersection theory to commutative algebra. (see 

92i:16002) 

Schafer, Uwe (with Schenzel, Peter) Dualizing complexes of affine semigroup rings. 
92a:13012 

Schenzel, Peter see Schafer, Uwe, 92a:13012 

Sharp, R. Y. (with Yassi, M.) Generalized fractions and Hughes’ grade-theoretic analogue 
of the Cousin complex. 92i:13013 


13D (Co)homological methods 


13D02 


Yamagishi, Kikumichi Bass number characterization of surjective Buchsbaum modules. 
92g:13028 
Yassi, M. see Sharp, R. Y., 92i:13013 


13C20 Class groups 


Nour El Abidine, Driss Sur le groupe des classes d’un anneau intégre. (English summary) 
[On the class group of an integral domain] 92g:13013 

Weston, Dana Divisorial properties of the canonical module for invariant subrings. 
92g:13014 


Items with secondary classifications in 13C20 

Anderson, D. D. (with Zafrullah, Muhammad) Almost Bézout domains. 92g:13026 
Ford, Timothy J. On the Brauer group and quotient singularities. 92h:13004 

Lang, Jeffrey Purely inseparable extensions of unique factorization domains. 92e:13012 
Shastri, Parvati 2-torsion of ideal class groups of Dedekind domains. 92m:11126 
Zafrullah, Muhammad see Anderson, D. D., 92g:13026 


13C40 Linkage, complete intersections and determinantal ideals 
[see also 14M12] 


Boffi, Giandomenico (with Sanchez, Rafael) Some classical formulas and a determinantal 
ideal. 92j:13014 

Elias, Juan Three results on the number of generators of ideals. 92i:13010 

Herzog, Jiirgen (with Ulrich, Bernd) Self-linked curve singularities. 92c:13010 

Kotzev, Boris V. Determinantal ideals of linear type of a generic symmetric matrix. 
92g:13015 

Roberts, Joel (with Weyman, Jerzy) A short proof of a theorem of M. Hashimoto. 
92a:13009 

Sanchez, Rafael see Boffi, Giandomenico, 92j:13014 

Srinivasan, Hema Minimal algebra resolutions for cyclic modules defined by Huneke-Ulrich 
ideals. 92e:13007 

Ulrich, Bernd see Herzog, Jiirgen, 92c:13010 

Weyman, Jerzy see Roberts, Joel, 92a:13009 


Items with secondary classifications in 13C40 

Bruns, Winfried Algebras defined by powers of determinantal ideals. 92h:13005 

Geramita, Anthony V. (with Kreuzer, Martin; Robbiano, Lorenzo) Cayley-Bacharach 
schemes and their canonical modules. 92g:13018 

Kreuzer, Martin see Geramita, Anthony V.; et al., 92g:13018 

Kunz, Ernst Verallgemeinerung eines Satzes von Newton. [Generalization of a theorem of 
Newton] 92¢:14045 

Kustin, Andrew R. (with Ulrich, Bernd) A family of complexes associated to an almost 
alternating map, with applications to residual intersections. 92i:13012 

Renteria, Carlos (with Villarreal, Rafael H.) Koszul homology of Cohen-Macaulay rings 
with linear resolutions. 92h:13014 

Robbiano, Lorenzo see Geramita, Anthony V.; et al., 92g:13018 

Sjogren, Rickard A homological proof of a theorem by Davis, Geramita, Orecchia giving the 
Cayley-Bacharach theorem. 92e:13009 

Udpikar, Shrinivas G. On Hilbert polynomial of certain determinantal ideals. 92e:05123 

Ulrich, Bernd see Kustin, Andrew R., 92i:13012 

Villarreal, Rafael H. see Renteria, Carlos, 92h:13014 


13C99 None of the above, but in this section 
Sidky, F. I. Essential and superfluous fuzzy submodules. 92d:13009 


Items with secondary classifications in 13C99 

Kempf, George R. Wonderful rings and awesome modules. (see 92m:13001) 

Landsburg, Steven E. Patching and analytic isomorphisms. 92f:13016 

Nashier, Budh (with Nichols, Warren D.) On Steinitz properties. 92g:16002 

Nichols, Warren D. see Nashier, Budh, 92g:16002 

Okon, James S. (with Ratliff, L. J., Jr.) On the grade and cograde of a Noetherian filtration. 
92¢:13005 

Ratliff, L. J., Jr. see Okon, James S., 92c:13005 

Shah, Kishor On the Cohen-Macaulayness of the fiber cone of an ideal. 92k:13014 

Teissier, Bernard Monémes, volumes et multiplicités. [Monomials, volumes and multiplici- 
ties] 92e:14003 


13Dxx (Co)homological methods 


13D02 Syzygies 


Bruns, Winfried The Evans-Griffith syzygy theorem and Bass numbers. 92j:13015 

Okiyama, Satoru A local ring is CM if and only if its residue field has a CM syzygy. 
92m:13017 

Watanabe, Junzo The syzygies of m-full ideals. 92b:13019 


Items with secondary classifications in 13D02 

Beccari, Giannina (with Davis, Edward D.; Massaza, Carla) Extremality with respect to the 
estimates of Dubreil-Campanella: splitting theorems. 92h:13011 

Bjorner, Anders (with Hibi, Takayuki) Betti numbers of Buchsbaum complexes. 92b:13015 

Cavaliere, M. P. (with Rossi, M. E.; Valla, Giuseppe) On the resolution of points in generic 
position. 92g:14048 

Dahmen, Wolfgang (with Micchelli, Charles A.) Local dimension of piecewise polynomial 
spaces, syzygies, and solutions of systems of partial differential equations. 92i:35029 

Davis, Edward D. see Beccari, Giannina; et al., 92h:13011 

Hibi, Takayuki see Bjorner, Anders, 92b:13015 

Massaza, Carla see Beccari, Giannina; et al., 92h:13011 





13D02 


Micchelli, Charles A. see Dahmen, Wolfgang, 92i:35029 

Maller, H. Michael Computing syzygies 4 la Gauss-Jordan. 92b:13042 

Roberts, Joel (with Weyman, Jerzy) A short proof of a theorem of M. Hashimoto. 
92a:13009 

Rossi, M. E. see Cavaliere, M. P.; et al., 92g:14048 

Schreyer, Frank-Olaf A standard basis approach to syzygies of canonical curves. 92j:14040 

Stillman, Mike Methods for computing in algebraic geometry and commutative algebra. 
92b:13044 

Valla, Giuseppe see Cavaliere, M. P.; et al., 92g:14048 

Weyman, Jerzy see Roberts, Joel, 92a:13009 

Zelewski, Piotr M. Ranks of chain complexes over the complex polynomial ring. 92j:13016 


13D03 (Co)homology of commutative rings and algebras 


Alonso Tarrio, Leovigildo On the semicontinuity of André deviations. (Spanish. English 
summary) (see 92b:00044) 

André, M. Homologie de Frobenius. [Frobenius homology] 92g:13016 

Charalambous, Hara Betti numbers of multigraded modules. 92b:13020 

Gerstenhaber, M. (with Schack, S. D.) The shuffle bialgebra and the cohomology of 
commutative algebras. 92e:13008 

Hibl, Reinhold * Traces of differential forms and Hochschild homology. 92a:13010 

Lago, Ana (with Rodicio, Antonio G.) On the vanishing of H2(A, A/I,m/J). (Spanish. 
English summary) (see 92g:00024) 

— (with Rodicio, Antonio G.) Generalized Koszul complexes and Hochschild (co- 
)homology of complete intersections. 92m:13018 

Majadas Soto, Javier (with Rodicio, Antonio G.) The Hochschild (co-)homology of 
hypersurfaces. 92m:13019 

Rodicio, Antonio G. see Lago, Ana, 92m:13018; Majadas Soto, Javier, 92m:13019 and Lago, 
Ana, (92g:00024) 

Schack, S. D. see Gerstenhaber, M., 92e:13008 


Items with secondary classifications in 13D03 

Geller, Susan C. see Weibel, Charles A., 92¢:19006 

Goerss, Paul G. On the André-Quillen cohomology of commutative F2-algebras. 92b:18012 

Guccione, Jorge Alberto (with Guccione, Juan José) Hochschild homology of complete 
intersections. 92k:16017 

Guccione, Juan José see Guccione, Jorge Alberto, 92k:16017 

Harrison, D. K. (with McKenzie, Thomas) Toward an arithmetic of polynomials. 
92m:13008 

Ledder, Gerald Cyclic homology and de Rham cohomology. 92m:19005 

McKenzie, Thomas see Harrison, D. K., 92m:13008 

Pachuashvili, V. A. Cohomologies and extensions in monoidal categories. 92i:18007 

Renteria, Carlos (with Villarreal, Rafael H.) Koszul homology of Cohen-Macaulay rings 
with linear resolutions. 92h:13014 

Rossi, Fabio (with Spangher, Walter) Some effective methods in the openness of loci for 
Cohen-Macaulay and Gorenstein properties. 92c:13019 

Spangher, Walter see Rossi, Fabio, 92c:13019 

Villarreal, Rafael H. see Renteria, Carlos, 92h:13014 

Ward, André A homological characterization of local J-rings. 92f:13008 

Weibel, Charles A. (with Geller, Susan C.) Etale descent for Hochschild and cyclic 
homology. 92¢:19006 


13D05 (Co)homological dimension [see also 18G20] 


Avramov, Luchezar L. (with Vigué-Poirrier, Micheline) Hochschild homology criteria for 
smoothness. 92m:13020 

Chao, Yi Stai see Cheng, Fu Chang, 92b:13021 

Cheng, Fu Chang (with Chao, Yi Stai) On the structure of coherent FP-rings. 92b:13021 

Glaz, Sarah Hereditary localizations of polynomial rings. 92c:13011 

Kuzumaki, Takako The cohomological dimension of the quotient field of the two- 
dimensional complete local domain. 92f:13015 

Sjigren, Rickard A homological proof of a theorem by Davis, Geramita, Orecchia giving the 
Cayley-Bacharach theorem. 92e:13009 

Vigué-Poirrier, Micheline see Avramov, Luchezar L., 92m:13020 

Yang, Jing Hua The global homological dimensions of algebraic extension rings. (Chinese. 
English summary) 92c:13012 


Items with secondary classifications in 13D05 

Beccari, Giannina (with Massaza, Carla) A scheme structure for the equivalence class of all 
the ideals in DU1 having the same degree matrix. 92¢:14001 

Massaza, Carla see Beccari, Giannina, 92e:14001 


Yuzvinsky, Sergey A free resolution of the module of derivations for generic arrangements. 
92b:52026 


Zhao, Yi Cai A note on coherent rings of dimension two. 92j:13013 


13D19 Deformations and infinitesimal methods [see also 14B12, 
14D15, 16S80, 32Gxx] 


Charalambous, Hara (with Evans, E.Graham) A deformation theory approach to Betti 
numbers of finite length modules. 92g:13017 

Evans, E.Graham see Charalambous, Hara, 92g:13017 

Shafarevich, I. R. Deformations of commutative algebras of class 2. (Russian) 92h:13016 

Spangher, Walter On Bayer’s deformation and the associativity formula. 92i:13011 


13D15 Grothendieck groups, K-theory [see also 14C35, 18F30, 
19-XX] 


Landsburg, Steven E. Patching and analytic isomorphisms. 92f:13016 


COMMUTATIVE RINGS AND ALGEBRAS 


Items with secondary classifications in 13D15 

Asanuma, Teruo Pic R[X, X~'] for R a one-dimensional reduced Noetherian ring. 
92g:19003 

Suslin, A. A. (with Yarosh, V. A.) Milnor’s K; of a discrete valuation ring. 92j:19003 

Weibel, Charles A. Pic is a contracted functor. 92¢:19002 

Yarosh, V. A. see Suslin, A. A., 92j:19003 


13D25 Complexes 


Kustin, Andrew R. (with Ulrich, Bernd) A family of complexes associated to an almost 
alternating map, with applications to residual intersections. 92i:13012 

Martin Yagiiez, Ma. del Carmen The Mac Rae invariant and finite free resolutions of length 
two. (Spanish. English summary) (see 92b:00044) 

Pisonero Pérez, Miriam Behavior of finite free resolutions under passage to residue fields. 
(Spanish. English summary) (see 92b:00044) 

Sharp, R. Y. (with Yassi, M.) Generalized fractions and Hughes’ grade-theoretic analogue 
of the Cousin complex. 92i:13013 

Ulrich, Bernd see Kustin, Andrew R., 92i:13012 

Yassi, M. see Sharp, R. Y., 92i:13013 

Zelewski, Piotr M. Ranks of chain complexes over the complex polynomial ring. 92j:13016 


Items with secondary classifications in 13D25 

Billera, Louis J. (with Haas, Ruth) The dimension and bases of divergence-free splines; a 
homological approach. 92m:41027 

Boffi, Giandomenico (with Sanchez, Rafael) Some classical formulas and a determinantal 
ideal. 92j:13014 

Bruns, Winfried The Evans-Griffith syzygy theorem and Bass numbers. 92j:13015 

Haas, Ruth see Billera, Louis J., 92m:41027 

Lapin, S. V. Normalization of reflexive and dihedral modules. (Russian) 92d:18010 

Marley, Thomas Unmixed local rings of type two are Cohen-Macaulay. 92e:13014 

Mazzola, G. Mathematische Musiktheorie: status quo 1990. [Mathematical music theory: 
status quo 1990] 92j:00024 

Mikhailyuk, E. A. Z,-free chain complexes and inequalities for numbers of critical points of 
Morse functions on some non-simply connected manifolds. (Russian) 92f:57040 

Nguyén Tu’ Cu’d’ng On the dimension of the non-Cohen-Macaulay locus of local rings 
admitting dualizing complexes. 92b:13034 

Sanchez, Rafael see Boffi, Giandomenico, 92j:13014 


13D30 Torsion theory [see also 13C12, 18E40] 


Fay, Temple H. Cotorsion modules and projective dimension one. 92a:13011 
Verschoren, A. Relative duality. 92b:13022 


Items with secondary classifications in 13D30 

Bican, Ladislav (with Salce, Luigi) Butler modules in torsion theories. (Italian summary) 
92b:16068 

Ikeyama, Tamotsu Left exact torsion theories. 92a:18002 

Jeremias Lépez, Ana Projective objects in the category of (R, a)-modules. (Spanish. English 
summary) (see 92b:00044) 

Salce, Luigi see Bican, Ladislav, 92b:16068 

Torrecillas Jover, Blas (with Van Oystaeyen, Freddy) On M-sequences associated to 
filtrations. 92c:13009 

Van Oystaeyen, Freddy see Torrecillas Jover, Blas, 92c:13009 


13D40 Hilbert-Samuel functions and Poincaré series 


Elias, Juan (with Valla, Giuseppe) Rigid Hilbert functions. 92¢e:13010 

Geramita, Anthony V. (with Kreuzer, Martin; Robbiano, Lorenzo) Cayley-Bacharach 
schemes and their canonical modules. 92g:13018 

Hibi, Takayuki Hilbert functions of Cohen-Macaulay integral domains and chain condi- 
tions of finite partially ordered sets. 92j:13017 

Kempf, George R. Wonderful rings and awesome modules. (see 92m:13001) 

Kreuzer, Martin see Geramita, Anthony V.; et al., 92g:13018 

Renschuch, Bodo (with Vogel, Wolfgang) Perfektheit und die Umkehrung des Bezoutschen 
Satzes. [Perfectness, and the converse of Bezout’s theorem] 92j:13018 

Robbiano, Lorenzo Introduction to the theory of Hilbert functions. 92g:13019 

— see also Geramita, Anthony V.; et al., 92g:13018 

Stanley, Richard P. On the Hilbert function of a graded Cohen-Macaulay domain. 
92:13017 

Valla, Giuseppe see Elias, Juan, 92e:13010 

Vogel, Wolfgang see Renschuch, Bodo, 92j:13018 

Wu, Yinghwa Reduction numbers and Hilbert polynomials of ideals in higher-dimensional 
Cohen-Macaulay local rings. 92g:13020 


Items with secondary classifications in 13D40 


Elias, Juan Three results on the number of generators of ideals. 92i:13010 

Galligo, André Exemples d’ensembles de points en position uniforme. [Examples of sets of 
points in uniform position] 92c:13024 

Kirby, David Dimension and length for Artinian modules. 92b:13025 

Maroscia, Paolo Some remarks on the Hilbert function of a zero-cycle in P?. 92¢:14010 

Nguyén Tu’ Cu’o’ng On the length of the powers of systems of parameters in local ring. 
92b:13033 

Orecchia, Ferruccio (with Ramella, Isabella) On the computation of the conductor of an 
affine algebraic curve. 92¢:14057 

Ramella, Isabella see Orecchia, Ferruccio, 92e:14057 

Renteria, Carlos (with Villarreal, Rafael H.) Koszul homology of Cohen-Macaulay rings 
with linear resolutions. 92h:13014 

Shah, Kishor On the Cohen-Macaulayness of the fiber cone of an ideal. 92k:13014 

Teranishi, Yasuo Young diagrammatic methods in noncommutative invariant theory. 
92b:05084 





225 1992 


Ufnarovskii, V. A. Combinatorial and asymptotic methods in algebra. (Russian) 92h:16024 
Villarreal, Rafael H. see Renteria, Carlos, 92h:13014 


13D45 Local cohomology [see also 14B15] 


Huneke, Craig (with Koh, Jee) Cofiniteness and vanishing of local cohomology modules. 
92g:13021 

Johnston, Bernard Toward parametric Cohen-Macaulayfication of two-dimensional finite 
local cohomology domains. 92j:13019 

Koh, Jee see Huneke, Craig, 92g:13021 

Schiffer, Uwe (with Schenzel, Peter) Dualizing complexes of affine semigroup rings. 
92a:13012 

Schenzel, Peter see Schafer, Uwe, 92a:13012 

Sharp, R. Y. (with Tiras, Y.; Yassi, M.) Integral closures of ideals relative to local 
cohomology modules over quasi-unmixed local rings. 92b:13023 

— The Frobenius homomorphism, and local cohomology in regular local rings of positive 
characteristic. 92g:13022 

Tiras, Y. see Sharp, R. Y.; et al., 92b:13023 

Yassi, M. see Sharp, R. Y.; et al., 92b:13023 


Items with secondary classifications in 13D45 

Bjérner, Anders (with Hibi, Takayuki) Betti numbers of Buchsbaum complexes. 92b:13015 

Brodmann, M. Cohomology of standard blowing-up. 92m:14007 

Goto, Shiro (with Nishida, Koji; Shimoda, Yasuhiro) The Gorensteinness of symbolic Rees 
algebras for space curves. 92h:13019 

Hibi, Takayuki Quotient algebras of Stanley-Reisner rings and local cohomology. 
92e:13013 

— see also Bjérner, Anders, 92b:13015 

Lé Tuan Hoa (with Stiickrad, Jiirgen; Vogel, Wolfgang) Towards a structure theory for 
projective varieties of degree = codimension + 2. 92:14002 

Nagel, Uwe On Castelnuovo’s regularity and Hilbert functions. 92c:14003 

Nguyén Tu’ Cu’d’ng On the dimension of the non-Cohen-Macaulay locus of local rings 
admitting dualizing complexes. 92b:13034 

Nishida, Koji see Goto, Shiro; et al., 92h:13019 

Shimoda, Yasuhiro see Goto, Shiro; et al., 92h:13019 

Stiickrad, Jiirgen see Lé Tuan Hoa; et al., 92f:14002 

Verschoren, A. Relative duality. 92b:13022 

Vogel, Wolfgang see Lé Tuan Hoa; et al., 92f:14002 

Watanabe, Keiichi F-regular and F-pure normal graded rings. 92g:13003 

Yamagishi, Kikumichi Bass number characterization of surjective Buchsbaum modules. 
92g:13028 


13D99 None of the above, but in this section 


Items with secondary classifications in 13D99 


Hibl, Reinhold * Traces of differential forms and Hochschild homology. 92a:13010 
Prészytiski, Andrzej Forms and mappings. IV. Degree 4. (Russian summary) 92d:13003 


13Exx Chain conditions, finiteness conditions 


13E05 Noetherian rings and modules 


Kirby, David Towards a theory of R-modules modulo a Serre category. 92k:13009 

Lee, Sang Cheol Finitely generated modules. 92g:13023 

Nagata, Masayoshi A proof of the theorem of Eakin-Nagata. 92j:13020 

Ogoma, Tetsushi Noetherian property of inductive limits of Noetherian local rings. 
92b:13024 

Rajagopalan, Revati G-Noetherian domains. 92f:13018 


Items with secondary classifications in 13E05 

Balcerzyk, Stanislaw (with Jozefiak, Tadeusz) * Commutative Noetherian and Krull rings. 
92f:13001 

Geroldinger, Alfred On the arithmetic of certain not integrally closed Noetherian integral 
domains. 92¢:13002 

Huang, Tian Min The spectrum of a Noetherian ring. (Chinese summary) 92¢:13003 

Jacobsson, Carl (with Léfwall, Clas) Standard bases for general coefficient rings and a new 
constructive proof of Hilbert’s basis theorem. 92j:13027 

Jézefiak, Tadeusz see Balcerzyk, Stanistaw, 92f:13001 

(Juniewicz, Maciej) see Balcerzyk, Stanislaw, 92f:13001 

(Kowalski, Sergiusz) see Balcerzyk, Stanistaw, 92f:13001 

Léfwall, Clas see Jacobsson, Carl, 92j:13027 

Martin, Mary B. (with Zafrullah, Muhammad) (-linked overrings of Noetherian weakly 
factorial domains. 92i:13014 

Mirbagheri, Ahmad (with Ratliff, L. J., Jr.; Rush, David E.) Note on divisorial sets of 
elements for sets of ideals. 92e:13002 

Morales, Marcel Noetherian symbolic blow-ups. 92c:13020 

O’Carroll, L. A note on Artin-Rees numbers. 92i:13001a 

— Addendum to: “A note on Artin-Rees numbers”. 92i:13001b 

Pan, Shi Zhong On injective simple modules over a Noetherian commutative ring. 
92d:13006 

Ratliff, L. J., Jr. Residual division, semi-prime operations, and a theorem of Sakuma and 
Okuyama. 92g:13001 

— see also Mirbagheri, Ahmad; et al., 92e:13002 

Rush, David E. see Mirbagheri, Ahmad; et al., 92e:13002 

Sato, Junro A note on the numbers of generators of maximal ideals in polynomial rings. 
92a:13016 

Srinivasan, Hema On finite generation of symbolic algebras of monomial primes. 
92m:13003 


13F Arithmetic rings and other special rings 


13F05 


Varma, P. L. N. Efficient generation of zero-dimensional ideals in polynomial rings. 
92a:13017 
Zafrullah, Muhammad see Martin, Mary B., 92i:13014 


13E10 Artinian rings and modules, finite-dimensional algebras 


Kirby, David Dimension and length for Artinian modules. 92b:13025 

Pan, Shi Zhong Commutative quasi-Frobenius rings. 92f:13019 

Zhang, Yin Huo On the quotient ring of commutative rings with ACC* on annihilator 
ideals. (Chinese summary) 92b:13026 


Items with secondary classifications in 13E10 

Elias, Juan Three results on the number of generators of ideals. 92i:13010 

Gilmer, Robert (with Heinzer, William J.) Zero-dimensionality in commutative rings. 
92j:13011 

— (with Heinzer, William J.) Products of commutative rings and zero-dimensionality. 
92h:13015 

Heinzer, William J. see Gilmer, Robert, 92h:13015 and 92j:13011 

Hui, Chang Chang Die Vektorraumkategorie zu einem unzerlegbaren projektiven Modul 
einer tubularen Algebra. [The vector space category for an indecomposable projective 
module of a tubular algebra] 92c:16011 

Okon, James S. (with Vicknair, J. Paul) Group rings with n-generated ideals. 92k:16037 

Vicknair, J. Paul see Okon, James S., 92k:16037 


13E15 Rings and modules of finite generation or presentation 


Arnold, David M. (with Laubenbacher, Reinhard C.) Almost split sequences for Dedekind- 
like rings. 92f:13020 

Laubenbacher, Reinhard C. see Arnold, David M., 92f:13020 

Onoda, Nobuharu Algebras with affine fibres over an excellent ring. 92a:13013 

Traldi, Lorenzo Higher Fitting invariants. 92d:13010 


Items with secondary classifications in 13E15 

Chouinard, Leo (with Wiegand, Sylvia) Ranks of indecomposable modules over one- 
dimensional rings. II. 92k:13005 

Dobbs, David E. Integral domains finite over each underring. 92m:13022 

Guralnick, Robert M. (with Levy, Lawrence S.) Cancellation and direct summands in 
dimension 1. 92h:13012 

Levy, Lawrence S. see Guralnick, Robert M., 92h:13012 

Naoum, A. G. Flat modules and multiplication modules. 92i:13009 

Rush, David E. Rings with two-generated ideals. 92j:13008 

Wiegand, Sylvia see Chouinard, Leo, 92k:13005 


13E99 None of the above, but in this section 


Items with secondary classifications in 13E99 


Gabelli, Stefania On domains with ACC on invertible ideals. (Italian summary) 92j:13002 
La, C.-P. M-radicals of submodules in modules. II. 92b:13014 


13Fxx Arithmetic rings and other special rings 
[see also 12-XX] 


13F05 Dedekind and Priifer rings and their generalizations 


Anderson, David F. (with Dobbs, David E.; Fontana, Marco) Characterizing Kronecker 
function rings. (Italian summary) 92k:13010 

Chabert, Jean-Luc Anneaux de polynémes 4 valeurs entiéres et anneaux de Priifer. (English 
summary) [Rings of integer-valued polynomials and Priifer domains] 92d:13011 

DeMeyer, Frank (with Kakakhail, Hainya) Generalized equivalence of matrices over 
Priifer domains. 92g:13024 

Dobbs, David E. see Anderson, David F.; et al., 92k:13010 

Dong, Xue Dong A generalization of Dedekind domains. (Chinese) 92e:13011 

Fontana, Marco see Anderson, David F.; et al., 92k:13010 

Fuchs, Laszl6! (with Meijer, Alko R.) Note on modules over Priifer domains. 92f:13021 

Gao, Wei Dong Complete systems of residues in Dedekind domains. (Chinese. English 
summary) 

Halter-Koch, Franz Zur Zahlen- und Idealtheorie eindimensionaler Noetherscher In- 
tegritatsbereiche. [On the number theory and ideals of one-dimensional integral domains] 
92a:13014 

Kakakhail, Hainya see DeMeyer, Frank, 92g:13024 

Liineburg, Heinz On a certain arithmetical question in a Priifer domain. (Italian) 
92b:13027 

Meijer, Alko R. see Fuchs, Laszl6" , 92f:13021 

Mott, Joe L. (with Zafrullah, Muhammad) On Krull domains. 92d:13012 

Pascual Garcia, J. Kronecker function ring and strong N-rings. 92c:13013 

Rhodes, C. P. L. Relatively Priifer pairs of commutative rings. 92j:13021 

Sekiguchi, Koji Priifer domain and affine scheme. 92a:13015 

Zafrullah, Muhammad see Mott, Joe L., 92d:13012 


Items with secondary classifications in 13F05 

Anderson, D. D. (with Zafrullah, Muhammad) Aimost Bézout domains. 92g:13026 

Brewer, James W. (with Klingler, Lee) The ring of integer-valued polynomials of a semi- 
local principal-ideal domain. 92g:13025 

Decruyenaere, Fabien (with Jespers, Eric; Wauters, Paul) Semigroup algebras and direct 
sums of domains. 92g:20111 

Dobbs, David E. Integral domains finite over each underring. 92m:13022 

Jespers, Eric see Decruyenaere, Fabien; et al., 92g:20111 

Klingler, Lee see Brewer, James W., 92g:13025 





13F05 


Kucharz, Wojciech Generating ideals in real holomorphy rings. 92i:12004 

McConnell, N. R. Radical ideals of Dedekind domains and their extensions. 92f:13002 

McQuillan, Donald L. On a theorem of R. Gilmer. 92i:13016 

Miyazaki, Mitsuhiro Some remarks on normal property of graded subalgebras of polyno- 
mial rings. 92b:13029 

Wauters, Paul see Decruyenaere, Fabien; et al., 92g:20111 

Zafrullah, Muhammad see Anderson, D. D., 92g:13026 


13F10 Principal ideal rings 
Jespers, Eric Special principal ideal rings and absolute subretracts. 92h:13017 


Items with secondary classifications in 13F10 

Brewer, James W. (with Klingler, Lee) The ring of integer-valued polynomials of a semi- 
local principal-ideal domain. 92g:13025 

Decruyenaere, Fabien (with Jespers, Eric; Wauters, Paul) On commutative principal ideal 
semigroup rings. 92i:20070 

Dong, Xue Dong A generalization of Dedekind domains. (Chinese) 92e:13011 

Isbell, John Some inequalities in hom sets. 92k:18002 

Jespers, Eric see Decruyenaere, Fabien; et al., 92i:20070 

Klingler, Lee see Brewer, James W., 92g:13025 

Seo, Gyeong-Sig On the minimal generating systems of modules and projective modules 
over semilocal domains. 92j:13010 

Wauters, Paul see Decruyenaere, Fabien; et al., 92i:20070 


13F15 Factorial rings, unique factorization domains 
[see also 14M05] 


Anderson, D. D. (with Anderson, David F.; Zafrullah, Muhammad) Factorization in 
integral domains. 92b:13028 

— (with Anderson, David F.; Zafrullah, Muhammad) Rings between D[X] and K[X]. 
92¢:13014 

Anderson, David F. see Anderson, D. D.; et al., 92b:13028 and 92c:13014 

Gutiérrez, Jaime G. A polynomial decomposition algorithm over factorial domains. 
92f:13022 

Lang, Jeffrey Purely inseparable extensions of unique factorization domains. 92e:13012 

Martin, Mary B. (with Zafrullah, Muhammad) /-linked overrings of Noetherian weakly 
factorial domains. 92i:13014 

Zafrullah, Muhammad see Anderson, D. D.; et al., 92b:13028; 92c:13014 and Martin, Mary 
B., 92i:13014 


Items with secondary classifications in 13F15 

Bergeron, Francois (with Yeh, Yeong Nan) The factoriality of the ring of S-species. 
92b:05080 

Erastov, K. D. Integral closure of a factorial ring. (Russian) 92g:13009 

Fossum, Robert M. One-dimensional formal group actions. 92i:14044 

Griffith, Phillip Some results in local rings on ramification in low codimension. 92¢:13017 

Yeh, Yeong Nan see Bergeron, Francois, 92b:05080 

Zhao, Yi Cai A test theorem on coherent GCD domains. 92h:13018 


13F20 Polynomial rings and ideals [see also 11C08] 


Brewer, James W. (with Klingler, Lee) The ring of integer-valued polynomials of a semi- 
local principal-ideal domain. 92g:13025 

Cahen, Paul-Jean Polynémes a valeurs entiéres sur un anneau non analytiquement 
irréductible. [Integer-valued polynomials over a ring that is not analytically irreducible] 
92i:13015 

Dickenstein, Alicia M. (with Sessa, Carmen) Duality methods for the membership 
problem. 92m:13021 

— (with Sessa, Carmen) An effective residual criterion for the membership problem in 
C[z1,---, Zn]. 92k:13011 

Klingler, Lee see Brewer, James W., 92g:13025 

McQuillan, Donald L. On a theorem of R. Gilmer. 92i:13016 

Miyazaki, Mitsuhiro Some remarks on normal property of graded subalgebras of polyno- 
mial rings. 92b:13029 

Nashier, Budh Maximal ideals in Laurent polynomial rings. 92j:13022 

Sato, Junro A note on the numbers of generators of maximal ideals in polynomial rings. 
92a:13016 

Sessa, Carmen see Dickenstein, Alicia M., 92k:13011 and 92m:13021 

Varma, P.L. N. Efficient generation of zero-dimensional ideals in polynomial rings. 
92a:13017 


Items with secondary classifications in 13F20 

Adjamagbo, Kossivi (with van den Essen, Arno) A differential criterion and formula for the 
inversion of a polynomial map in several variables. 92d:14011 

Berenstein, Carlos A. (with Struppa, Daniele Carlo) Recent improvements in the complex- 
ity of the effective Nullstellensatz. 92m:13024 

Campbell, H. E. A. (with Hughes, I.; Pollack, R. D.) Rings of invariants and p-Sylow 
subgroups. 92h:13008 

Chabert, Jean-Luc Anneaux de polynémes a valeurs entiéres et anneaux de Priifer. (English 
summary) [Rings of integer-valued polynomials and Priifer domains] 92d:13011 

Chapman, Scott T. Characterizing strong two-generators in K[X, X3]. 92a:13001 

— (with Vaughan, Nick H.) A theorem on generating ideals in certain semigroup rings. 
(Italian summary) 92f:13024 

Clivio, A. Algorithmic aspects of Z[x;,---, x,] with applications to tiling problems. 
92j:13024 

Connell, Edwin (with Zweibel, John) Exact and coexact matrices. 92i:13004 

Cutkosky, Steven Dale Symbolic algebras of monomial primes. 92b:13009 

van den Essen, Arno see Adjamagbo, Kossivi, 92d:14011 

Glaz, Sarah Hereditary localizations of polynomial rings. 92c:13011 


COMMUTATIVE RINGS AND ALGEBRAS 1992 226 


Hadas, Ofer On the vertices of Newton polytopes associated with an automorphism of the 
ring of polynomials. 92i:13005 

Hughes, I. see Campbell, H. E. A.; et al., 92h:13008 

Jelonek, Zbigniew Sets determining polynomial automorphisms of C2. (Russian summary) 
92¢:14009 

Nashier, Budh On one-dimensional primes in Laurent polynomial rings over a Henselian 
ring. 92f:13026 

Oda, Susumu On quasinormality of a group ring R[Z"]. 92f:13023 

Pollack, R. D. see Campbell, H. E. A.; et al., 92h:13008 

Shlapentokh, Alexandra Diophantine definitions for some polynomial rings. 92c:11150 

Struppa, Daniele Carlo see Berenstein, Carlos A., 92m:13024 

Vaughan, Nick H. see Chapman, Scott T., 92f:13024 

Zweibel, John see Connell, Edwin, 92i:13004 


13F25 Formal power series rings [see also 1305] 


Reich, Ludwig Iteration of automorphisms of formal power series rings and of complete 
local rings. 92a:13018 

Schwaiger, Jens Phantom roots and phantom iterates for formal power series in one 
variable. 92a:13019 


Items with secondary classifications in 13F25 

Adjamagbo, Kossivi (with van den Essen, Arno) Eulerian systems of partial differential 
equations and the Jacobian conjecture. 92i:13022 

Benhissi, Ali Quelques propriétés des séries formelles généralisées. [Some properties of 
generalized formal power series] 92c:12010 

Chu, Hua On the integral dependence of power series rings. 92j:13005 

Dong, Xue Dong A generalization of Dedekind domains. (Chinese) 92e:13011 

van den Essen, Arno see Adjainagbo, Kossivi, 92i:13022 

Kautschitsch, Hermann (with Mlitz, Rainer) Maximal ideals in composition-rings of 
formal power series. 92b:13035 

Khalis, M. Dimension de Krull des anneaux de séries formelles sur un produit fibré. 
(English summary) [Krull dimension of rings of formal power series over pullbacks] 
92g:13012 

Mlitz, Rainer see Kautschitsch, Hermann, 92b:13035 

Mora, Teo La queste del Saint Gr,(AL): a computational approach to local algebra. 
92j:13028 

Rotthaus, Christel On rings with low-dimensional formal fibres. 92j:13006 


13F30 Valuation rings 


Faith, Carl (with Pillay, Poobhalan) * Classification of commutative FPF rings. 92k:13012 
Fuchs, Laszié! (with Monari Martinez, Elisabetta) Butler modules over valuation domains. 
92d:13013 


Monari Martinez, Elisabetta see Fuchs, Laszl6', 92d:13013 
Pillay, Poobhalan see Faith, Carl, 92k:13012 


Items with secondary classifications in 13F30 

Chabert, Jean-Luc Anneaux de polynémes a valeurs entiéres et anneaux de Priifer. (English 
summary) [Rings of integer-valued polynomials and Priifer domains] 92d:13011 

Gobel, Riidiger (with Goldsmith, B.) On separable torsion-free modules of countable 
density character. 92m:13013 


— (with Goldsmith, B.) On almost-free modules over complete discrete valuation rings. 
92m:13014 

Goldsmith, B. see Gobel, Riidiger, 92m:13013 and 92m:13014 

Heinzer, William J. (with Sally, Judith D.) Extensions of valuations to the completion of a 
local domain. 92j:13003 

Khalis, M. Dimension de Krull des anneaux de séries formelles sur un produit fibré. 
(English summary) [Krull dimension of rings of formal power series over pullbacks] 
92g:13012 

Monari Martinez, Elisabetta Some properties of Butler modules over valuation domains. 
92m:13015 

Sally, Judith D. see Heinzer, William J., 92j:13003 


13F40 Excellent rings 


Items with secondary classifications in 13F40 


Gamboa, José M. (with Ruiz, Jesis M.) On rings of semialgebraic functions. 92f:14058 
Onoda, Nobuharu Algebras with affine fibres over an excellent ring. 92a:13013 

Ruiz, Jestis M. see Gamboa, José M., 92£:14058 

Ward, André A homological characterization of local J-rings. 92f:13008 


13F45 Seminormal rings 


Anderson, David F. (with Dobbs, David E.) Fields in which seminormality implies 
normality. 92b:13030 

Dobbs, David E. see Anderson, David F., 92b:13030 

Oda, Susumu On quasinormality of a group ring R[Z"]. 92f:13023 


Items with secondary classifications in 13F45 


Sato, Junro A note on the numbers of generators of maximal ideals in polynomial rings. 
92a:13016 


13F50 Rings with straightening laws, Hodge algebras 


Ngo Viét Trung On the presentation of Hodge algebras and the existence of Hodge algebra 
structures. 92b:13031 





227 1992 


Items with secondary classifications in 13F50 

Anick, David J. (with Rota, Gian-Carlo) Higher-order syzygies for the bracket algebra and 
for the ring of coordinates of the Grassmannian. 92k:15058 

Bjérner, Anders (with Hibi, Takayuki) Betti numbers of Buchsbaum complexes. 92b:13015 

Hibi, Takayuki see Bjérner, Anders, 92b:13015 

Miyazaki, Mitsuhiro Some remarks on normal property of graded subalgebras of polyno- 
mial rings. 92b:13029 

Rota, Gian-Carlo see Anick, David J., 92k:15058 

Teranishi, Yasuo Young diagrammatic methods in noncommutative invariant theory. 
92b:05084 


13F99 None of the above, but in this section 


Chapman, Scott T. (with Vaughan, Nick H.) A theorem on generating ideals in certain 
semigroup rings. (Italian summary) 92f:13024 

Rahman, M.T. Determinant over graded ring. 92a:13020 

Vaughan, Nick H. see Chapman, Scott T., 92f:13024 


Items with secondary classifications in 13F99 

Enochs, Edgar E. (with Jenda, Overtoun M. G.) Trivial formal fibres and formal Laurent 
series. 92i:13019 

Jenda, Overtoun M. G. see Enochs, Edgar E., 92i:13019 

Kang, Byung Gyun A characterization of Krull rings with zero divisors. 92f:13004 

McCasland, Roy L. (with Moore, Marion E.) On unimodular complements. 92f:15006 

Moore, Marion E. see McCasland, Roy L., 92f:15006 

Pan, Shi Zhong Commutative quasi-Frobenius rings. 92f:13019 


13G05 _ Integral domains 


Anderson, D. D. (with Zafrullah, Muhammad) Almost Bézout domains. 92g:13026 

Anderson, David F. (with Houston, Evan G.; Zafrullah, Muhammad) Pseudo-integrality. 
92£:13025 

— (with Pruis, Paula) Length functions on integral domains. 92c:13015 

Dobbs, David E. Integral domains finite over each underring. 92m:13022 

Houston, Evan G. see Anderson, David F.; et al., 92f:13025 

Pérez Gonzalez, Ma. del Pilar Zero divisors in a commutative unitary ring and recurrent 
linear sequences. (Spanish. English summary) (see 92b:00044) 

Pruis, Paula see Anderson, David F., 92c:13015 

Zafrullah, Muhammad see Anderson, David F.; et al., 92f:13025 and Anderson, D. D., 
92g:13026 

Zhao, Yi Cai A test theorem on coherent GCD domains. 92h:13018 


Items with secondary classifications in 13G05 

Anderson, D. D. (with Anderson, David F.; Zafrullah, Muhammad) Factorization in 
integral domains. 92b:13028 

— Integral domains with finitely generated groups of divisibility. 92c:13001 

Anderson, David F. (with Dobbs, David E.; Fontana, Marco) Characterizing Kronecker 
function rings. (Italian summary) 92k:13010 

— The kernel of Pic(Ro) — Pic(R) for R a graded domain. 92j:13001 

— (with Dobbs, David E.; Fontana, Marco) Notes on N-dimension sequences. 92b:13017 

— see also Anderson, D. D.; et al., 92b:13028 

Cahen, Paul-Jean Polynémes a valeurs entiéres sur un anneau non analytiquement 
irréductible. [Integer-valued polynomials over a ring that is not analytically irreducible] 
92i:13015 

Dobbs, David E. (with Fontana, Marco) Universally catenarian domains of D + M type. II. 
92e:13006 

— A note on strong locally divided domains. 92h:13001 

— (with Kiltinen, John O.; Orndorff, Bobby J.) Commutative rings with homomorphic 
power functions. 92m:13006 

— (with Fontana, Marco) Integral overrings of two-dimensional going-down domains. 
92i:13007 

— see also Anderson, David F.; et al., 92b:13017 and 92k:13010 

Fontana, Marco see Anderson, David F.; et al., 92b:13017; Dobbs, David E., 92e:13006; 
92i:13007 and Anderson, David F.; et al., 92k:13010 

Fuchs, Laszl6' (with Viljoen, G.) A weaker form of Baer’s splitting problem over valuation 
domains. 92e:13005 

Gabelli, Stefania On domains with ACC on invertible ideals. (Italian summary) 92j:13002 

Gao, Wei Dong Complete systems of residues in Dedekind domains. (Chinese. English 
summary) 

Kiltinen, John O. see Dobbs, David E.; et al., 92m:13006 

Kovacs, B. (with Pethé, Attila) Number systems in integral domains, especially in orders of 
algebraic number fields. 92m:11116 

Mott, Joe L. (with Zafrullah, Muhammad) On Krull domains. 92d:13012 

Nour El Abidine, Driss Sur le groupe des classes d’un anneau intégre. (English summary) 
[On the class group of an integral domain] 92g:13013 

Oda, Susumu On quasinormality of a group ring R[Z"]. 92f:13023 

Orndorff, Bobby J. see Dobbs, David E.; et al., 92m:13006 

Pethé, Attila see Kovacs, B., 92m:11116 

Pierce, R.S. (with Vinsonhaler, C. 1.) Classifying E-rings. 92h:13013 

Rajagopalan, Revati G-Noetherian domains. 92f:13018 

Sugatani, Takasi (with Yoshida, Ken-ichi) Divisorially flat extensions of an integral 
domain. 92h:13010 

Tabada, Mohamed Sur une question de compacité linéaire. [On a question of linear 
compactness] 92j:13023 

Viljoen, G. see Fuchs, Laszl6' , 92e:13005 

Vinsonhaler, C.1. see Pierce, R. S., 92h:13013 

Yoshida, Ken-ichi see Sugatani, Takasi, 92h:13010 

Zafrullah, Muhammad see Anderson, D. D.; et al., 92b:13028 and Mott, Joe L., 92d:13012 


13H_ Local rings and semilocal rings 


13Hxx Local rings and semilocal rings 


13H05 Regular local rings 


Kurano, Kazuhiko An application of intersection theory to commutative algebra. (see 
92i:16002) 

Narvdez-Macarro, Luis A note on the behaviour under a ground field extension of 
quasicoefficient fields. 92i:13017 


Items with secondary classifications in 13H05 

Elias, Juan (with Robbiano, Lorenzo; Valla, Giuseppe) Number of generators of ideals. 
92h:13023 

Faith, Carl (with Pillay, Poobhalan) * Classification of commutative FPF rings. 92k:13012 

Jespers, Eric Special principal ideal rings and absolute subretracts. 92h:13017 

Pillay, Poobhalan see Faith, Carl, 92k:13012 

Robbiano, Lorenzo see Elias, Juan; et al., 92h:13023 

Sato, Junro A note on the numbers of generators of maximal ideals in polynomial rings. 
92a:13016 

Sharp, R. Y. The Frobenius homomorphism, and local cohomology in regular local rings of 
positive characteristic. 92g:13022 

Valla, Giuseppe see Elias, Juan; et al., 92h:13023 


13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, 
etc.) [see also 14M05] 


Beccari, Giannina (with Massaza, Carla) A parametrization of a family of perfect height 
two ideals. 92c:13016 

Cho, Young-Hyun see Shin, Yongsu, 92g:13027 

Goto, Shiro (with Nishida, Koji; Shimoda, Yasuhiro) The Gorensteinness of symbolic Rees 
algebras for space curves. 92h:13019 

Griffith, Phillip Some results in local rings on ramification in low codimension. 92c:13017 

Hibi, Takayuki Quotient algebras of Stanley-Reisner rings and local cohomology. 
92e:13013 

Hochster, Melvin (with Huneke, Craig) Infinite integral extensions and big Cohen- 
Macaulay algebras. 92m:13023 

Huneke, Craig see Hochster, Melvin, 92m:13023 

Lé Tuan Hoa The Gorenstein property depends upon characteristic for affine semigroup 
rings. 92¢:13018 

Marley, Thomas Unmixed local rings of type two are Cohen-Macaulay. 92e:13014 

Massaza, Carla see Beccari, Giannina, 92c:13016 

Nakamura, Yukio Local rings of Cohen-Macaulay F-rational rings are F-rational. 
92h:13020 

Nishida, Koji see Goto, Shiro; et al., 92h:13019 

Ooishi, Akira Stable ideals in Gorenstein !ocal rings. 92b:13032 

— On the conductor of the blowing-up of a one-dimensional Gorenstein local ring. 
92k:13013 

Rossi, Fabio (with Spangher, Walter) Some effective hods in the op 
Cohen-Macaulay and Gorenstein properties. 92c:13019 

Schenzel, Peter Examples of Gorenstein domains and symbolic powers of monomial space 
curves. 92h:13021 

Shah, Kishor On the Cohen-Macaulayness of the fiber cone of an ideal. 92k:13014 

Shimoda, Yasuhiro see Goto, Shiro; et al., 92h:13019 

Shin, Yongsu (with Cho, Young-Hyun) Socle of C-M local rings and strong F-regularity. 
92g:13027 

Spangher, Walter see Rossi, Fabio, 92c:13019 

Yamagishi, Kikumichi Bass number characterization of surjective Buchsbaum modules. 
92g:13028 


of loci for 





Items with secondary classifications in 13H10 

Bresinsky, Henrik Binomial generating sets for monomial curves, with applications in A‘. 
92e:13004 

Cho, Young-Hyun (with Moon, M.1I.) The weak F-regularity of Cohen-Macaulay local 
rings. 92k:13002 

Elias, Juan Three results on the number of generators of ideals. 92i:13010 

— (with Valla, Giuseppe) Rigid Hilbert functions. 92e:13010 

Flores de Chela, D. Modules of generalized fractions. (Spanish) 92m:13009 

Goto, Shiro see Morimoto, Mayumi, 92m:13002 

Herrmann, Manfred (with Ribbe, J.; Ngo Viét Trung; Zarzuela Armengou, Santiago) 
Bounds for the multiplicity of almost complete intersections. 92g:13029 

Hibi, Takayuki Ehrhart polynomials of convex polytopes, h-vectors of simplicial complexes, 
and nonsingular projective toric varieties. 92j:52018 

— Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite 
partially ordered sets. 92j:13017 

Hochster, Melvin (with Huneke, Craig) Tight closure and elements of small order in 
integral extensions. 92i:13002 

Huneke, Craig see Hochster, Melvin, 92i:13002 

Ishibashi, Yasunori (with Suzuki, Takumi) Note on rings of invariants associated with #p- 
actions. 92¢:14045 : 

Johnston, Bernard Toward parametric Cohen-Macaulayfication of two-dimensional finite 
local cohomology domains. 92j:13019 

Kirby, David (with Sedighi, H.) One-dimensional Cohen-Macaulay local rings of multiplic- 
ity three. 92i:13018 

Lé Tuan Hoa On monomial k-Buchsbaum curves in P?. 92k:14049 

Miyazaki, Mitsuhiro On 2-Buchsbaum complexes. 92a:52017 

— Level complexes and barycentric subdivisions. 92e:52020 

Moon, M.I. see Cho, Young-Hyun, 92k:13002 

Morales, Marcel Noetherian symbolic blow-ups. 92c:13020 

Morimoto, Mayumi (with Goto, Shiro) Non-Cohen-Macaulay symbolic blow-ups for space 
monomial curves. 92m:13002 





13H10 


Ngo Viét Trung see Herrmann, Manfred; et al., 92g:13029 

Nguyén Tu’ Cu’o’ng On the dimension of the non-Cohen-Macaulay locus of local rings 
admitting dualizing complexes. 92b:13034 

Okiyama, Satoru A local ring is CM if and only if its residue field has a CM syzygy. 
92m:13017 

Ooishi, Akira On the associated graded modules of canonical modules. 92h:13006 

Picavet-L’Hermitte, Martine Multiplicité et norme d’un idéal fractionnaire et régulier. 
(English summary) [Multiplicity and norm of a regular fractional ideal] 92c:13021 

Renteria, Carlos (with Villarreal, Rafael H.) Koszul homology of Cohen-Macaulay rings 
with linear resolutions. 92h:13014 

Ribbe, J. see Herrmann, Manfred; et al., 92g:13029 

Schiifer, Uwe (with Schenzel, Peter) Dualizing complexes of affine semigroup rings. 
92a:13012 

Schenzel, Peter see Schafer, Uwe, 92a:13012 

Sedighi, H. see Kirby, David, 92i:13018 

Sharp, R. Y. (with Tiras, Y.; Yassi, M.) Integral closures of ideals relative to local 
cohomology modules over quasi-unmixed local rings. 92b:13023 

Sjogren, Rickard A homological proof of a theorem by Davis, Geramita, Orecchia giving the 
Cayley-Bacharach theorem. 92e:13009 

Srinivasan, Hema Minimal algebra resolutions for cyclic modules defined by Huneke-Ulrich 
ideals. 92¢:13007 

Stanley, Richard P. On the Hilbert function of a graded Cohen-Macaulay domain. 
92f:13017 

Suzuki, Takumi see Ishibashi, Yasunori, 92c:14045 

Tiras, Y. see Sharp, R. Y.; et al., 92b:13023 

Valla, Giuseppe see Elias, Juan, 92¢:13010 

Van den Bergh, Michel Cohen-Macaulayness of modules of covariants. 92m:14063 

Verma, J. K. Rees algebras of contracted ideals in two-dimensional regular local rings. 
92j:13004 

— Joint reductions and Rees algebras. 92h:13007 

Verschoren, A. Relative duality. 92b:13022 

Villarreal, Rafael H. see Renteria, Carlos, 92h:13014 

Weston, Dana Divisorial properties of the canonical module for invariant subrings. 
92g:13014 

Wa, Yinghwa Reduction numbers and Hilbert polynomials of ideals in higher-dimensional 
Cohen-Macaulay local rings. 92g:13020 

Yassi, M. see Sharp, R. Y.; et al., 92b:13023 

Yoshino, Yuji * Cohen-Macaulay modules over Cohen-Macaulay rings. 92b:13016 

Zarzuela Armengou, Santiago see Herrmann, Manfred; et al., 92g:13029 


13H15 Miultiplicity theory and related topies 


Herrmann, Manfred (with Ribbe, J.; Ngo Viét Trung; Zarzuela Armengou, Santiago) 
Bounds for the multiplicity of almost complete intersections. 92g:13029 

Kirby, David (with Sedighi, H.) One-dimensional Cohen-Macaulay local rings of multiplic- 
ity three. 92i:13018 

Morales, Marcel Noetherian symbolic blow-ups. 92c:13020 

Ngo Viét Trung see Herrmann, Manfred; et al., 92g:13029 

Nguyén Tu’ Cu’o’ng On the length of the powers of systems of parameters in local ring. 
92b:13033 

— On the dimension of the non-Cohen-Macaulay locus of local rings admitting dualizing 
complexes. 92b:13034 

Picavet-L’Hermitte, Martine Multiplicité et norme d’un idéal fractionnaire et régulier. 
(English summary) [Multiplicity and norm of a regular fractional ideal] 92c:13021 

Ribbe, J. see Herrmann, Manfred; et al., 92g:13029 

Sedighi, H. see Kirby, David, 92i:13018 

Zarzuela Armengou, Santiago see Herrmann, Manfred; et al., 92g:13029 


Items with secondary classifications in 13H15 

Achilles, Riidiger (with Tworzewski, Piotr; Winiarski, Tadeusz) On improper isolated 
intersection in complex analytic geometry. 92d:32012 

Amoroso, Francesco Polynomials with high multiplicity. 92e:11073 

Elias, Juan (with Valla, Giuseppe) Rigid Hilbert functions. 92e:13010 

Goto, Shiro (with Nishida, Koji; Shimoda, Yasuhiro) The Gorensteinness of symbolic Rees 
algebras for space curves. 92h:13019 

Hyry, Eero Residual multiplicities and residual intersections. 92d:14004 

Maroscia, Paolo Some remarks on the Hilbert function of a zero-cycle in P?. 92¢:14010 

Nagel, Uwe On Castelnuovo’s regularity and Hilbert functions. 92¢:14003 

Nishida, Koji see Goto, Shiro; et al., 92h:13019 

O’Carroll, L. On bounding the Stiickrad-Vogel multiplicity. 92j:14005 

Ooishi, Akira Stable ideals in Gorenstein local rings. 92b:13032 

Orecchia, Ferruccio (with Ramella, Isabella) On the computation of the conductor of an 
affine algebraic curve. 92e:14057 

Ramella, Isabella see Orecchia, Ferruccio, 92e:14057 

Shah, Kishor On the Cohen-Macaulayness of the fiber cone of an ideal. 92k:13014 

Shimoda, Yasuhiro see Goto, Shiro; et al., 92h:13019 

Tworzewski, Piotr see Achilles, Riidiger; et al., 92d:32012 

Valla, Giuseppe see Elias, Juan, 92e:13010 

Verma, J. K. Rees algebras of contracted ideals in two-dimensional regular local rings. 
92j:13604 

— Joint reductions and Rees algebras. 92h:13007 

Winiarski, Tadeusz see Achules, Riidiger; et al., 92d:32012 


13H99 None of the above, but in this section 


Enochs, Edgar E. (with Jenda, Overtoun M.G.) Trivial formal fibres and formal Laurent 
series. 92i:13019 
Jenda, Overtoun M. G. see Enochs, Edgar E., 92i:13019 


COMMUTATIVE RINGS AND ALGEBRAS 


Items with secondary classifications in 13H99 

Mehta, V. B. (with Srinivas, V.) Normal F-pure surface singularities. 92j:14044 
Srinivas, V. see Mehta, V. B., 92j:14044 

Tanimoto, Hiroshi Maximal quasi-coefficient fields of a Noetherian local ring. 92f:13011 


13Jxx Topological rings and modules [see also 16W60, 
16W80} 


13J05 Power series rings [see also 13F25] 


Kautschitsch, Hermann (with Mlitz, Rainer) Maximal ideals in composition-rings of 
formal power series. 92b:13035 
Mlitz, Rainer see Kautschitsch, Hermann, 92b:13035 


Items with secondary classifications in 13J05 

Dauns, John Lattice ordered division rings exist. 92i:13020 

Reich, Ludwig Iteration of automorphisms of formal power series rings and of complete 
local rings. 92a:13018 

Ribenboim, Paulo Algebraic extensions of fields of generalized power series. 92d:12006 

Schwaiger, Jens Phantom roots and phantom iterates for formal power series in one 
variable. 92a:13019 

Stefanescu, Doru About the Schilling series. 92a:12010 

Varma, P. L. N. Efficient generation of zero-dimensional ideals in polynomial rings. 
92a:13017 


13J10 Complete rings, completion [see also 13B35] 


Arezzo, Domenico m-adic topologies and completions. (Italian) 92k:13015 

Heckmanns, Ulrich Beispiel eines topologischen Kérpers, dessen Vervollstandigung ein 
Integritatsring, aber kein K6rper ist. [Example of a topological field whose completion is 
an integral domain, but nota field] 92h:13022 


Items with secondary classifications in 13J10 

Bélair, Luc Vecteurs de Witt. [Witt vectors] 92j:12015 

Hochster, Melvin (with Huneke, Craig) Tight closure and elements of small order in 
integral extensions. 92i:13002 

Huneke, Craig see Hochster, Melvin, 92i:13002 


13J15 Henselian rings [see also 13B40] 


Nashier, Budh On one-dimensional primes in Laurent polynomial rings over a Henselian 
ring. 92f:13026 


Items with secondary classifications in 13J15 

Abhyankar, Shreeram S. (with Heinzer, William J.) Derivativewise unramified infinite 
integral extensions. 92a:13004 

Bélair, Luc Anneaux p-adiquement clos et anneaux de fonctions définissables. [p-adically 
closed rings and rings of definable functions] 92k:03014 

Heinzer, William J. see Abhyankar, Shreeram S., 92a:13004 

Nashier, Budh Maximal ideals in Laurent polynomial rings. 92j:13022 

Rudlof, Peter On the structure of couniform and complemented modules. 92m:13010 

Siddoway, Michael F. On endomorphism rings of modules over Henselian rings. 92¢:16023 


13320 Global topological rings 


Items with secondary classifications in 13J20 


Ursul, M. 1. Splitting off of a radical in commutative topological rings that are close to 
compact. (Russian) 92¢:16033 


13J25 Ordered rings [see also 06F25] 


Dauns, John Lattice ordered division rings exist. 92i:13020 
Marshall, Murray Orderings and real places on commutative rings. 92g:13030 


Items with secondary classifications in 13J25 
Kanzaki, Teruo Totally real algebras. 92b:13007 


13J99 None of the above, but in this section 


Dikranjan, Dikran N. (with Orsatti, Adalberto) On an unpublished manuscript of Ivan 
Prodanov concerning locally compact modules and their dualities. 92a:13021 

Manchanda, Pammy see Singh, Surjit®, 92d:13014 

Orsatti, Adalberto see Dikranjan, Dikran N., 92a:13021 

(Prodanov, Ivan) see Dikranjan, Dikran N., 92a:13021 

Singh, Surjit> (with Manchanda, Pammy) Seminormability of certain ring topologies on 
Noetherian Krull domains. 92d:13014 

Tabaa, Mohamed Sur une question de compacité linéaire. [On a question of linear 
compactness] 92j:13023 


Items with secondary classifications in i3J99 

Henriksen, Melvin Spaces with a pretty base. 92b:54076 

Jayaram, C. Quasiregular rings. 92b:13002 

Manchanda, Pammy (with Singh, Surjit}) Locally bounded topologies on F(X). 92h:13002 
Singh, Surjit® see Manchanda, Pammy, 92h:13002 

Tsarelunga, B.I. Strengthening the topologies of compact rings. (Russian) 92j:54054 





229 1992 


13K05 Witt vectors and related rings 


Gaudier, Henri Multiplication des matrices et vecteurs de Witt. [Multiplication of matrices 
and Witt vectors] 92i:13021 


Items with secondary classifications in 13K05 
Bélair, Luc Vecteurs de Witt. [Witt vectors] 92j:12€15 


Cristante, Valentino Witt realization of the p-adic Barsotti-Tate groups; some applications. 
92a:14051 


Ditters, E. J. Hilbert functions and Witt functions. An identity for congruences of Atkin 
and of Swinnerton-Dyer type. 92b:14025 


13L05 Applications of logic to commutative algebra 
[see also 03Cxx, 03Hxx] 


Eklof, Paul C. A transfer theorem for nonstandard uniserials. 92f:13027 
Osofsky, Barbara L. A construction of nonstandard uniserial modules over valuation 
domains. 92c:13022 


Items with secondary classifications in 13L05 

Bélair, Luc Anneaux p-adiquement clos et anneaux de fonctions définissables. [p-adically 
closed rings and rings of definable functions] 92k:03014 

de Glas, Michel A representation theory for rings of finite characteristics. (Russian 
summary) 92g:06016 

Jacobsson, Carl (with Léfwall, Clas) Standard bases for general coefficient rings and a new 
constructive proof of Hilbert’s basis theorem. 92j:13027 

Léfwall, Clas see Jacobsson, Carl, 92j:13027 

Lyubetskii, V. A. A transfer theorem in the theory of rings. (Russian) (see 91b:03003) 

Morariu, Wanda (with Popescu, Dorin) Immediate extensions of filtered rings. (Italian 
summary) 92h:13003 

Popescu, Dorin see Morariu, Wanda, 92h:13003 

Romano, Daniel A. Rings and modules, a constructive view. 92g:03084 


13Mxx Finite commutative rings {For number-theoretic 
aspects, see 11Txx.} 


13M05 Structure 


Items with secondary classifications in 13M05 
Poulakis, Dimitrios On the homomorphisms of a family of finite rings. 92d:11130 


13M10 Polynomials (commutative rings) 


Items with secondary classifications in 13M10 

Anderson, David F. (with Dobbs, David E.) Fields in which seminormality implies 
normality. 92b:13030 

Dobbs, David E. see Anderson, David F., 92b:13030 

Kikumasa, Isao (with Nagahara, Takasi) On primitive elements of Galois extensions of 
finite commutative algebras. 92d:12009 

Nagahara, Takasi see Kikumasa, Isao, 92d:12009 


13Nxx Differential algebra [see also 12H05, 14F10] 


13N05 Modules of differentials [see also 16S32] 


Gémez, Francisco The number of generators of the algebra of Kahler differentials. 
92b:13036 

Miller, Winfried B. (with Oswald, Alan) On formal integration in composition rings of 
polynomials. 92d:13015 

Ollivier, Francois Standard bases of differential ideals. 92f:13028 

Oswald, Alan see Miller, Winfried B., 92d:13015 


Items with secondary classifications in 13N05 


André, M. Homologie de Frobenius. [Frobenius homology] 92g:13016 

Coomes, Brian (with Zurkowski, Vicior) Linearization of polynomial flows and spectra of 
derivations. 92m:34002 

Kunz, Ernst Verallgemeinerung eines Satzes von Newton. [Generalization of a theorem of 
Newton] 92e:14045 

Kuzumaki, Takako The cohomological dimension of the quotient field of the two- 
dimensional complete local domain. 92f:13015 

Lipman, Joseph (with Sastry, Pramathanath) Regular differential and equidimensional 
scheme-maps. 92k:14019 

Nakai, Yoshikazu * Kakanwa to bibun. (Japanese) [Commutative rings and differentials] 
92i:13006 

Sastry, Pramathanath see Lipman, Joseph, 92k:14019 

Stengle, Gilbert Algebraic theory of differential inequalities. 92h:14040 

Zurkowski, Victor see Coomes, Brian, 92m:34002 


13N10 Rings of differential operators [see also 16S32, 32C38] 


Adjamagbo, Kossivi (with van den Essen, Arno) Eulerian systems of partial differential 
equations and the Jacobian conjecture. 92i:13022 

Berkovich, L. M. Analogue of the Eisenstein criterion for ordinary linear differential 
operators. (Russian) 92a:13022 

van den Essen, Arno see Adjamagbo, Kossivi, 92i:13022 


13P Computational aspects of commutative algebra 


Hart, Robert Glued algebras and differential operators. 92i:13023 


Items with secondary classifications in 13N10 

Brown, Kenneth A. The Artin algebras associated with differential operators on singular 
affine curves. 92f:16032 

Chamarie, Mare (with Musson, Ian M.) Rings of differential operators on one-dimensional 
algebras. 92d:16033 

Grigor’ev, D. Yu. Complexity of solving systems of linear equations over the rings of 
differential operators. 92d:16034 

Ishibashi, Yasunori Note on differential operators on X/ + --- + X/ =0. 92k:16035 

Musson, Ian M. see Chamarie, Marc, 92d:16033 

Narvdez-Macarro, Luis A note on the behaviour under a ground field extension of 
quasicoefficient fields. 92i:13017 

Perkins, Patrick Isomorphisms of rings of differential operators on curves. 92g:16037 

Saorin Castaiio, M. Microlocal properties of filtered rings. 92e:16032 

Vinogradov, M. M. On a general algebraic theory of linear differential operators. I. (Russian) 
92g:12008 

Yakushev, A. O. Projective modules over a ring on differential operators of affine spaces of 
positive characteristic. (Russian) 92b:16057 

Zharinov, V. V. Differential algebras and low-dimension conservation laws. (Russian) 
92e:58202 

Zimmermann, Wolfgang Auslander-Reiten sequences over derivation polynomial rings. 
92k:16023 


13N99 None of the above, but in this section 


Items with secondary classifications in 13N99 
Diop, Sette Elimination in control theory. 92c:93023 


13Pxx Computational aspects of commutative algebra 
{see also 68Q40] 
(Kaltofen, Erich) see Computational algebraic complexity, 92b:13037 


Items listed otherwise than by author 
Computational algebraic complexity * Computational algebraic complexity. 92b:13037 


13P05 Polynomials, factorization [see also 12Y05] 


Caniglia, Léandro (with Guccione, Jorge Alberto; Guccione, Juan José) Local membership 
problems for polynomial ideals. 92¢:13023 

Clivio, A. Algorithmic aspects of Z[x;,---, x,] with applications to tiling problems. 
92j:13024 

Grayson, Matthew A. On the distance to the zero-set of a polynomial. 92b:13038 

Guccione, Jorge Alberto see Caniglia, Léandro; et al., 92c:13023 

Guccione, Juan José see Caniglia, Léandro; et al., 92c:13023 


13P10 Polynomial ideals, Grébner bases 


Alonso, Maria Emilia (with Mora, Teo; Raimondo, Mario) On the complexity of algebraic 
power series. 92i:13024 

— (with Mora, Teo; Raimondo, Mario) Local decomposition algorithms. 92k:13016 

Beckmann, P. (with Stiickrad, Jiirgen) The concept of Grébner algebras. 92f:13029 

Berenstein, Carlos A. (with Struppa, Daniele Carlo) Recent improvements in the complex- 
ity of the effective Nullstellensatz. 92m:13024 

Borges Trenard, Miguel Angel Characterizations of the concept of Grébner basis. (Spanish. 
English summary) 92i:13025 

Carra Ferro, Giuseppa (with Robbiano, Lorenzo) On super G-bases. 92b:13039 

Conti, Pasqualina (with Traverso, Carlo) Computing the conductor of an integral 
extension. 92j:13025 

Dickenstein, Alicia M. (with Fitchas, Noai; Giusti, Marc; Sessa, Carmen) The membership 
problem for unmixed polynomial ideals is solvable in single exponential time. 92m:13025 

Elias, Juan (with Robbiano, Lorenzo; Valla, Giuseppe) Number of generators of ideals. 
92h:13023 

Fitchas, Noai see Dickenstein, Alicia M.; et al., 92m:13025 

Galligo, André Exemples d’ensembles de points en position uniforme. [Examples of sets of 
points in uniform position] 92c¢:13024 

Gao, Xiao Shan The minimal characteristic basis of a polynomial ideal. 92¢:13025 

Giusti, Mare Complexity of standard bases in projective dimension zero. II. 92g:13031 

— see also Dickenstein, Alicia M.; et al., 92m:13025 

Gonzalez-Vega, Laureano Determinantal formulae for the solution set of zero-dimensional 
ideals. 92j:13026 

Grieco, M. (with Zucchetti, B.) How to decide whether a polynomial ideal is primary or 
not. 92b:13040 

Herfort, W. (with Penz, H.) A new notion of reduction: generating universal Grébner bases 
of ideals in K[x, y]. 92k:13017 

Jacobsson, Carl (with Léfwall, Clas) Standard bases for general coefficient rings and a new 
constructive proof of Hilbert’s basis theorem. 92j:13027 

Kovatec, Alexander Relatively prime Grébner bases and reducibility of S-polynomials. 
92b:13041 

Krick, Teresa (with Logar, Alessandro) Membership problem, representation problem and 
the computation of the radical for one-dimensional ideals. 92d4:13016 

Lakshman, Y. N. (with Lazard, Daniel) On the complexity of zero-dimensional algebraic 
systems. 92d:13017 

— A single exponential bound on the complexity of computing Grébner bases of zero- 
dimensional ideals. 924:13018 

Lazard, Daniel see Lakshman, Y. N., 92d:13017 

Léfwall, Clas see Jacobsson, Carl, 92j:13027 





13P10 


Logar, Alessandro see Krick, Teresa, 92d:13016 

Maller, H. Michael Computing syzygies 4 la Gauss-Jordan. 92b:13042 

Mora, Teo La queste del Saint Gr,(AL): a computational approach to local algebra. 
92j:13028 

— see also Alonso, Maria Emilia; et al., 92i:13024 and 92k:13016 

Ollivier, Francois Canonical bases: relations with standard bases, finiteness conditions and 
application to tame automorphisms. 92c:13026 

Pauer, Franz Grébner Basen und ihre Anwendungen. [Grébner bases and their applications] 
92b:13043 

Penz, H. see Herfort, W., 92k:13017 

Raimondo, Mario see Alonso, Maria Emilia; et al., 92i:13024 and 92k:13016 

Ramella, Isabella An algorithmic approach to ideal generation of points. (Italian summary) 
92k:13018 

Robbiano, Lorenzo Bounds for degrees and number of elements in Grobner bases. 
92:13030 

— see also Carra Ferro, Giuseppa, 92b:13039 and Elias, Juan; et al., 92h:13023 

Sessa, Carmen see Dickenstein, Alicia M.; et al., 92m:13025 

Stifter, Sabine The reduction ring property is hereditary. 92g:13032 

Stillman, Mike Methods for computing in algebraic geometry and commutative algebra. 
92b:13044 

Struppa, Daniele Carlo see Berenstein, Carlos A., 92m:13024 

Stiickrad, Jiirgen see Beckmann, P., 92f:13029 

Sturmfels, Bernd (with White, Neil L.) Computing combinatorial decompositions of rings. 
92£:13031 

Traverso, Carlo see Conti, Pasqualina, 92j:13025 

Valla, Giuseppe see Elias, Juan; et al., 92h:13023 

White, Neil L. see Sturmfels, Bernd, 92f:13031 

Winkler, Franz Grdébner bases in geometry theorem proving and simplest degeneracy 
conditions. 92d:13019 

Zacchetti, B. see Grieco, M., 92b:13040 


Items with secondary classifications in 13P10 

Alonso, J. A. see Chazarain, J.; et al., 92g:03032 

Beccari, Giannina (with Massaza, Carla) A parametrization of a family of perfect height 
two ideals. 92¢:13016 

Billera, Louis J. (with Rose, Lauren L.) A dimension series for multivariate splines. 
92g:41010 

Briales, E. see Chazarain, J.; et al., 92g:03032 

Cerlienco, Luigi (with Piras, Francesco) On the continuous dual of a polynomial bialgebra. 
92k:16051 

Chazarain, J. (with Riscos, A.; Alonso, J. A.; Briales, E.) Multi-valued logic and Grébner 
bases with applications to modal logic. 92g:03032 

Cowell, R.G. Application of ordered standard bases to catastrophe theory. 92m:58014 

van den Essen, Arno Polynomial maps and the Jacobian conjecture. 92k:14014 

Gerdt, V. P. (with Kostov, N. A.; Zharkov, A. Yu.) Nonlinear evolution equations and 
solving algebraic systems: the importance of computer algebra. 92j:35177 

Kalkbrener, Michael Implicitization of rational parametric curves and surfaces. 92f:14061 

Kostov, N. A. see Gerdt, V. P.; et al., 92j:35177 

Kutzler, Bernhard Deciding a class of Euclidean geometry theorems with Buchberger’s 
algorithm. 92c¢:51029 

Kwiecitiski, Michal A Grébner basis criterion for isomorphisms of algebraic varieties. 
92j:14018 

Logar, Alessandro (with Sturmfels, Bernd) Algorithms for the Quillen-Suslin theorem. 
92k:13006 

Massaza, Carla see Beccari, Giannina, 92c:13016 

Piras, Francesco see Cerlienco, Luigi, 92k:16051 

Riscos, A. see Chazarain, J.; et al., 92g:03032 

Rose, Lauren L. see Billera, Louis J., 92g:41010 

Sakata, Shojiro A Grobner basis and a minimal polynomial set of a finite nD array. 
92k:94027 

Spangher, Walter On Bayer’s deformation and the associativity formula. 92i:13011 

Sturmfels, Bernd Computational algebraic geometry of projective configurations. 
92k:14059 

— Grobner bases of toric varieties. 92j:14067 

— see also Legar, Alessandro, 92k:13006 

Tsujishita, Toru Homological method of computing invariants of systems of differential 
equations. 92h:58184 

Vasconcelos, Wolmer V. On the equations of Rees algebras. 92c:13006 

— Computing the integral closure of an affine domain. 92b:13013 

Zharkov, A. Yu. see Gerdt, V. P.; et al., 92j:35177 


13P99 None of the above, but in this section 


Malashonok, G.I. Algorithms for the solution of systems of linear equations in commuta- 
tive rings. 92i:13026 

Ronga, Felice Recherche de solutions d’inéquations polynomiales. [Solving polynomial 
inequalities] 92f:13032 

Teissier, Bernard Résultats récents d’algeébre commutative effective. [Recent results in 
effective commutative algebra] 92e:13015 


Items with secondary classifications in 13P99 

Chardin, Mare Un algorithme pour le calcul des résultants. (English summary) [An 
algorithm for computing resultants] 92d:12017 

Fitchas, Noai (with Galligo, André) Nullstellensatz effectif et conjecture de Serre (théoreme 
de Quillen-Suslin) pour le calcul formel. (English summary) [An effective Nullstellensatz 
and Serre’s conjecture (Quillen-Suslin theorem) for computer algebra] 92i:12002 

Galligo, André see Fitchas, Noai, 92i:12002 

Gallo, Giovanni (with Mishra, Bhubaneswar) Efficient algorithms and bounds for Wu-Ritt 
characteristic sets. 92e:14058 


COMMUTATIVE RINGS AND ALGEBRAS 


1992 230 


Hunt, H. B., III (with Stearns, Richard E.) The complexity of equivalence for commutative 
rings. 92g:68062 

Mishra, Bhubaneswar see Gallo, Giovanni, 92e:14058 

Stearns, Richard E. see Hunt, H. B., III, 92g:68062 

White, Neil L. Invariant-theoretic computation in projective geometry. 92m:13005 


14-XX Algebraic geometry 


14-01 Instructional exposition (textbooks, tutorial papers, etc.) 
Abhyankar, Shreeram S. * Algebraic geometry for scientists and engineers. 92a:14001 


Items with secondary classifications in 14-01 
Atiyah, Michael Francis The icosahedron. 92f:52001 


14-02 Research exposition (monographs, survey articles) 


Bass, Hyman Linearization problems on affine varieties. 92g:14001 

Miyaoka, Yoichi see Namikawa, Yukihiko, 92h:14001 

Namikawa, Yukihiko (with Miyaoka, Yoichi) Analysis of manifolds. The work of Yoichi 
Miyaoka. (Japanese) 92h:14001 


14-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Hattori, Akio 1991 Japan Mathematical Society Spring Prize winner Morihiko Saito, “The 
establishment and development of the theory of Hodge modules”. (Japanese) 

Kashiwara, Masaki (with Saito, Morihiko) “The establishment and development of the 
theory of Hodge modules”—Morihiko Saito’s achievements. (Japanese) 

Saito, Morihiko see Kashiwara, Masaki and Hattori, Akio 

Schappacher, Norbert Développement de la loi de groupe sur une cubique. [Development of 
the law of composition on a cubic curve] 92c:14001 

Sinaceur, Hourya Préhistoire de la géométrie algébrique réelle: de Descartes a Tarski. 
[Prehistory of real algebraic geometry: from Descartes to Tarski] (see 92m:14072) 


Items with secondary classifications in 14-03 


(Arnold, V.I.) see Klein, Felix, 924:01077 

Borowczyk, Jacques Sur la vie et l’ceuvre de Francois Budan (1761-1840). (English and 
German summaries) [On the life and works of Francois Budan (1761-1840)] 92c:01043 

Bottazzini, Umberto Pincherle and the theory of analytic functions. (Italian) 92m:01050 

(Budan, Francois) see Borowczyk, Jacques, 92c:01043 

(Castelnuovo, G.) see Gario, Paola, 92j:01033 

(Del Pezzo, P.) see Gario, Paola, 92a:01040 

Dieudonné, Jean De l’analyse fonctionnelle aux fondements de la géométrie algébrique. 
[From functional analysis to the foundations of algebraic geometry] 92c:01053c 

Gario, Paola Resolution of singularities of surfaces by P. Del Pezzo. A mathematical 
controversy with C. Segre. 92a:01040 

— The classical theory of equisingularity for plane curves. (Italian) 92d:01025 

— Singularities and geometry of surfaces in C. Segre’s correspondence with G. Castelnuovo. 
(Italian) 92j:01033 

(Gorodentsev, A. L.) see Klein, Felix, 92d:01077 

(Grothendieck, Alexander) see Dieudonné, Jean, 92c:01053c 

Katsura, Toshiyuki Investigations on Mordell-Weil lattices—the achievements of Tetsuji 
Shioda. (Japanese) 92g:01086 

(Kirillov, A. A.) see Klein, Felix, 92d:01077 

Klein, Felix * Jlexyuu 06 ukocasype H pellieHHH ypaBHeHHA naTon cTenenn. (Russian) 
[Lectures on the icosahedron, and solutions of equations of the fifth degree] 92d:01077 

Mumford, David Oscar Zariski and his work. 92¢:01048 

— see also Parikh, Carol, 92b:01064 

Neukirch, Jiirgen Algebraische Zahlentheorie. [Algebraic number theory] 92a:01057 

Parikh, Carol * The unreal life of Oscar Zariski. 92b:01064 

(Segre, Corrado) see Gario, Paola, 92a:01040 and 92j:01033 

(Serre, Jean-Pierre) see Klein, Felix, 92d:01077 

(Shioda, Tetsuji) see Katsura, Toshiyuki, 92g:01086 

(Tyurin, A. N.) see Klein, Felix, 92d:01077 

(Zariski, Oscar) see Parikh, Carol, 92b:01064 and Mumford, David, 92c:01048 

Items listed otherwise than by author 

Bibliography: 
Zariski, Oscar see Parikh, Carol, 92b:01064 

Biography: 
Zariski, Oscar see Parikh, Carol, 92b:01064 and Mumford, David, 92c:01048 


14-06 Proceedings, conferences, collections, etc. 


(Geramita, Anthony V.) see Seminar: Curves, 92i:14001 

(Kleiman, Steven L.) see Enumerative algebraic geometry, 92g:14002 

(Kurke, H.) see Algebraic geometry 

(Langlands, Robert P.) see Zeta functions of Picard modular surfaces, 92m:14001 
(Ramakrishnan, Dinakar) see Zeta functions of Picard modular surfaces, 92m:14001 
(Steenbrink, J. H.M.) see Algebraic geometry 

(Thorup, Anders) see Enumerative algebraic geometry, 92g:14002 

(Vinberg, E. B.) see Lie groups, their discrete subgroups, and invariant theory, 92k:14001 
(Zeuthen, Hieronymous Georg) see Enumerative algebraic geometry, 92g:14002 





231 1992 


Items listed otherwise than by author 
Algebraic geometry * Algebraic geometry. 
Berlin * Algebraic geometry. 
Conference: 
Algebraic Geometry * Algebraic geometry. 
Copenhagen * Enumerative algebraic geometry. 92g:14002 
Enumerative algebraic geometry * Enumerative algebraic geometry. 92g:14002 
Kingston, ON * The Curves Seminar at Queen’s. Vol. VIII. 92i:14001 
Lie groups, their discrete subgroups, and invariant theory * Lie groups, their discrete 
subgroups, and invariant theory. 92k:14001 
Seminar: 
Curves * The Curves Seminar at Queen’s. Vol. VIII. 92i:14001 
Symposium: 
Zeuthen, Hieronymous Georg * Enumerative algebraic geometry. 92g:14002 
Zeta functions of Picard modular surfaces * The zeta functions of Picard modular surfaces. 
92m:14001 


Items with secondary classifications in 14-06 

(Carlson, James A.) see Complex geometry and Lie theory, 92g:32003 

(Cartier, Pierre) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Clemens, Herbert) see Complex geometry and Lie theory, 92g:32003 

(Dennis, R. Keith) see Algebraic K-theory, commutative algebra, and algebraic geometry, 
92m:19001 

(Illusie, Luc) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Katz, Nicholas M.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Laumon, G.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Manin, Yu. 1.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Mohan Kumar, N.) see Proceedings: Hyderabad Conference on Algebraic Groups, 92d:20004 

(Mond, D. M. Q.) see Singularity theory and its applications, 924:00035 

(Montaldi, James) see Singularity theory and its applications, 92d:00035 

(Morrison, David R.) see Complex geometry and Lie theory, 92g:32003 

(Musili, C.) see Proceedings: Hyderabad Conference on Algebraic Groups, 92d:20004 

(Pedrini, Claudio) see Algebraic K-theory, commutative algebra, and algebraic geometry, 
92m:19001 

(Ramanan, S.) see Proceedings: Hyderabad Conference on Algebraic Groups, 92d:20004 

(Ribet, Kenneth A.) see Festschrift: Grothendieck, Alexander, 92b:00051 and 92b:00052 

(Stein, Michael R.) see Algebraic K-theory, commutative algeb-a, and algebraic geometry, 
92m:19001 


Items listed otherwise than by author 

Algebraic K-theory, commutative algebra, and algebraic geometry * Algebraic K-theory, 
commutative algebra, and algebraic geometry. 92m:19001 

Applications of Frobenius mappings to the theory of commutative rings * Frobenius shaz6 no 
kakankan-ron e no dy6. (Japanese) [Applications of Frobenius mappings to the theory of 
commutative rings] 92d:13001 

Birthday: 
Grothendieck, Alexander * The Grothendieck Festschrift. Vol. II. 92b:00051 
— * The Grothendieck Festschrift. Vol. III. 92b:00052 

Complex analytic geometry and related research h ical physics and complex analytic 
geometry * Fukuso kaiseki kikagaku to sono shdhen no kenky0—sdri butsuri to fukuso 
kaiseki kika. (Japanese) [Complex analytic geometry and related research—mathematical 
physics and complex analytic geometry] 92i:00015 

Complex geometry and Lie theory * Complex geometry and Lie theory. 92g:32003 

Conference: 
Algebraic Groups * Proceedings of the Hyderabad Conference on Algebraic Groups. 

92d:20004 
Real Algebraic Geometry * De la géométrie algébrique réelle. (French) [On real algebraic 
geometry] 92m:14072 

Contemporary Mathematics * Algebraic K-theory, commutative algebra, and algebraic 
geometry. 92m:19001 

Coventry * Singularity theory and its applications. Part I. 92d:00035 

Festschrift: 
Grothendieck, Alexander * The Grothendieck Festschrift. Vol. I]. 92b:00051 
— * The Grothendieck Festschrift. Vol. III. 92b:00052 

Géométrie algébrique réelle * De la géométrie algébrique réelle. (French) [On real algebraic 
geometry] 92m:14072 

Hyderabad * Proceedings of the Hyderabad Conference on Algebraic Groups. 92d:20004 

Lecture Notes in Mathematics * Singularity theory and its applications. Part I. 92d:00035 

Paris * De la géométrie algébrique réelle. (French) [On real algebraic geometry] 
92m:14072 





Hyderabad Conference on Algebraic Groups * Proceedings of the Hyderabad Conference 
on Algebraic Groups. 92d:20004 
Proceedings of Symposia in Pure Mathematics * Complex geometry and Lie theory. 
92g:32003 
Progress in Mathematics * The Grothendieck Festschrift. Vol. II. 92b:00051 
— * The Grothendieck Festschrift. Vol. III. 92b:00052 
Real algebraic geometry * De la géométrie algébrique réelle. (French) [On real algebraic 
geometry] 92m:14072 
Santa Margherita Ligure * Algebraic K-theory, commutative algebra, and algebraic 
geometry. 92m:19001 
Seminar: 
Algebraic K-Theory, Commutative Algebra, and Algebraic Geometry * Algebraic K- 
theory, commutative algebra, and algebraic geometry. 92m:19001 
Singularity theory and its applications * Singularity theory and its applications. Part I. 
92d:00035 
Sundance, UT * Complex geometry and Lie theory. 92g:32003 
Symposium: 
Applications of Frobenius Mappings to the Theory of Commutative Rings * Frobenius 
shazo no kakankan-ron e€ no Oyo. (Japanese) [Applications of Frobenius mappings to 


ALGEBRAIC GEOMETRY 


Symposium: (cont'd. ) 

the theory of commutative rings] 92d:13001 

Complex Analytic Geometry and Related Research—Math ical Physics and Complex 
Analytic Geometry * Fukuso kaiseki kikagaku to sono shihen no kenky0—sari butsuri 
to fukuso kaiseki kika. (Japanese) [Complex analytic geometry and related research— 
mathematical physics and complex analytic geometry] 92i:00015 

Complex Geometry and Lie Theory * Complex geometry and Lie theory. 92g:32003 

Singularity Theory and its Applications * Singularity theory and its applications. Part I. 
92d:00035 





14Axx Foundations 


14A05 Relevant commutative algebra [see also 13-XX] 


Henriksen, Melvin Spaces of prime ideals. 92g:14003 

— (with Kopperman, Ralph) A general theory of structure spaces with applications to spaces 
of prime ideals. 92j:14001 

Kopperman, Ralph see Henriksen, Melvin, 92j:14001 


Items with secondary classifications in 14A05 

Caniglia, Léandro (with Guccione, Jorge Alberto; Guccione, Juan José) Local membership 
problems for polynomial ideals. 92c:13023 

Guccione, Jorge Alberto see Caniglia, Léandro; et al., 92c:13023 

Guccione, Juan José see Caniglia, Léandro; et al., 92¢:13023 

Guerra, Lucio On the principal ideals of the coordinate ring of a projective variety, and the 
S> property. (Italian. English summary) 92k:13003 

O’Carroll, L. On bounding the Stiickrad-Vogel multiplicity. 92j:14005 


14A10 Varieties 


Diop, Sette Finite morphisms of differential algebraic varieties and elimination theory. 
92k:14002 


Items with secondary classifications in 14A10 

Lyubeznik, Gennady A generalization of Lichtenbaum’s theorem on the cohomological 
dimension of algebraic varieties. 92m:14027 

Romo Santos, Concepcién Intrinsic algebroid varieties. Blow-ups of algebroid varieties. 
(Spanish. English summary) 92m:14006 


14A15 Schemes 


Beccari, Giannina (with Massaza, Carla) A scheme structure for the equivalence class of all 
the ideals in DU1 having the same degree matrix. 92e:14001 

Cherenack, Paul (with Guerra, Lucio) Spaces of morphisms between algebraic schemes. 
92k:14003 

Guerra, Lucio see Cherenack, Paul, 92k:14003 

Huber, Roland Spezialisierungen im reellen Spektrum zu einer komplexen Varietat. (English 
summary) [Specializations in the real spectrum for a complex variety] 92i:14002 

Massaza, Carla see Beccari, Giannina, 92e:14001 

Yuzvinsky, Sergey Projective modules over rings of global sections of flasque sheaves. 
92b:14001 


Items with secondary classifications in 14A15 

Alonso Tarrio, Leovigildo On the semicontinuity of André deviations. (Spanish. English 
summary) (see 92b:00044) 

Eisenbud, David (with Harris, Joseph Daniel) Finite projective schemes in linearly general 
position. 92i:14035 

Harris, Joseph Daniel see Eisenbud, David, 92i:14035 

Huber, Annette On the Parshin-Beilinson adéles for schemes. 92k:14024 

Nishimura, Kimihide Boundary behavior of the superstring vacuum measure. 92e:81204 

Park, Soon-Cheol On the cohomology of affine schemes. 92e:14011 

Sekiguchi, Koji Priifer domain and affine scheme. 92a:13015 

Voevodskii, V. A. Etale topologies of schemes over fields of finite type over Q. (Russian) 
92j:14023 


14A20 Generalizations (algebraic spaces, motifs) 

Requejo Fernandez, Batildo Schemes over topological spaces. (Spanish. English summary) 
(see 92b:00044) 

Serre, Jean-Pierre Motifs. (English summary) [Motives] 92m:14002 


Items with secondary classifications in 14A20 

Bloch, Spencer Algebraic cycles and the Lie algebra of mixed Tate motives. 92i:14004 
Saito, Morihiko Hodge conjecture and mixed motives. I. 92m:14012 

Vistoli, Angelo The Hilbert stack and the theory of moduli of families. 92k:14011 


14A22 Noncommutative algebraic geometry; algebraic 
supervarieties [see also 14M30, 32C11, 58A50] 


Artin, Michael (with Tate, John; Van den Bergh, Michel) Some algebras associated to 
automorphisms of elliptic curves. 92e:14002 

Rosenberg, Alexander L. The left spectrum, the Levitzki radical, and noncommutative 
schemes. 92d:14001 

Shatz, Stephen S. Noncommutative algebraic geometry (preliminary report). 92m:14003 

Tate, John see Artin, Michael; et al., 92¢e:14002 

Van den Bergh, Michel see Artin, Michael; et al., 92e:14002 





14A22 


Items with secondary classifications in 14A22 

Artin, Michael (with Schelter, William F.; Tate, John) Quantum deformations of GL,,. 
92i:17014 

Bueso, J. L. (with Segura, M. I.; Verschoren, A.) Strong stability and sheaves. 92g:16047 

Dominguez Pérez, J. A. (with Hernandez Ruipérez, Daniel; Sancho de Salas, C.) Supersym- 
metric products of SUSY-curves. 92h:14037 

Hernandez Ruipérez, Daniel see Dominguez Pérez, J. A.; et al., 92h:14037 

Lakshmibai, Venkatramani (with Reshetikhin, N. Yu.) Quantum deformations of flag and 
Schubert schemes. (French summary) 92f:14053 

Mulase, Motohico A new super KP system and a characterization of the Jacobians of 
arbitrary algebraic super curves. 92k:14028 

Rabin, Jeffrey M. The algebraic geometry of super Riemann surfaces. 92i:14049 

Reshetikhin, N. Yu. see Lakshmibai, Venkatramani, 92f:14053 

Sancho de Salas, C. see Dominguez Pérez, J. A.; et al., 92h:14037 

Schelter, William F. see Artin, Michael; et al., 92i:17014 

Segura, M.I. see Bueso, J. L.; et al., 92g:16047 

Tate, John see Artin, Michael; et al., 92i:17014 

Verschoren, A. see Bueso, J. L.; et al., 92g:16047 


14A25 Elementary questions 


Items with secondary classifications in 14A25 

Dloussky, Georges (with Tworzewski, Piotr; Winiarski, Tadeusz) On separately algebraic 
sets. 92b:32011 

Tworzewski, Piotr see Dloussky, Georges; et al., 92b:32011 

Winiarski, Tadeusz see Dloussky, Georges; et al., 92b:32011 


14A99 None of the above, but in this section 
Deligne, P. Catégories tannakiennes. [Tannakian categories] 92d:14002 


Items with secondary classifications in 14A99 

Bélair, Luc Spectre p-adique: aspects topologiques et géométriques. [The p-adic spectrum: 
topological and geometric aspects] 92g:12010 

Chernova, L. F. see Drozd, Yu. A., 92b:16023 

Drozd, Yu. A. (with Chernova, L. F.) Lattices over Noetherian algebras. (Russian. 
Ukrainian summary) 92b:16023 

Li, Bang He Generic points in algebraic geometry and Loeb measures. 92e:03093 

Wa, Wen Jun On the foundation of algebraic differential geometry. 92j:14074 


14Bxx Local theory [see also 32Sxx] 


14B05 Singularities [see also 14E15, 14H20, 32Sxx, 58C27] 


Aouira, Safwan (with Pfister,Gerhard) Weakly quasihomogeneous hypersurface singulari- 
ties in positive characteristic. 92m:14004 

Bermejo Diaz, Isabel Algebroid surfaces of dimension type one along a regular submanifold 
of codimension two (positive characteristic). (Spanish. English summary) (see 92g:00024) 

— (with Gonzalez-Almenara, R.; Toste, M.) Algebroid surfaces of dimensionality type 1. 
Positive characteristic. (Spanish. English summary) (see 92b:00044) 

Castellanos, Julio (with Nuiiez Jiménez, Carolina Ana) On the geometry of the sequence of 
infinitely near points. 92g:14004 

Costa, Antonio F. Jets of germs of plane curves and solution trees. (Spanish) (see 92g:00024) 

Cutkosky, Steven Dale When are the blow ups of two ideals the same scheme? 92j:14002 

Fernandez Gutiérrez, Diego see Rivero Alvarez, Margarita, (92b:00044) 

Gonzalez-Almenara, R. see Bermejo Diaz, Isabel; et al., (92b:00044) 

Katz, Sheldon H. Small resolutions of Gorenstein threefold singularities. 92f:14001 

Khinich, V. A. On the singularities of nilpotent orbits. 92m:14005 

Lejeune-Jalabert, Mi Sur l’équivalence des singularités de courbes algébroides planes. 
Coefficients de Newton. [On the equivalence of singularities of plane algebroid curves. 
Newton coefficients] 92b:14002 

— Courbes tracées sur un germe d’hypersurface. [Curves over a germ of a hypersurface] 
92a:14002 

Niifiez Jiménez, Carolina Ana see Castellanos, Julio, 92g:14004 

Pfister,Gerhard see Aouira, Safwan, 92m:14004 

Rivero Alvarez, Margarita (with Fernandez Gutiérrez, Diego) Equisingularity of plane 
algebroid branched curves over finite fields. (Spanish. English summary) (see 92b:00044) 

— Equisingularity of real algebroid branched curves and the Newton polygon. (Spanish. 
English summary) (see 92b:00044) 

Romo Santos, Concepcién Intrinsic algebroid varieties. Blow-ups of algebroid varieties. 
(Spanish. English summary) 92m:14006 

Sanchez Sanchez, Gabriel Semicontinuity of the strict tangent space. (Spanish. English 
summary) (see 92b:00044) 

Teissier, Bernard Mon6émes, volumes et multiplicités. [Monomials, volumes and multiplici- 
ties] 92e:14003 

Toste, M. see Bermejo Diaz, Isabel; et al., (92b:00044) 


Items with secondary classifications in 14B05 


Artal-Bartolo, Enrique Sur la monodromie des singularités superisolées. (English summary) 
[On the monodromy of superisolated singularities] 92d:32052 

— Forme de Seifert des singularités de surface. (English summary) [Seifert form of surface 
singularities] 92j:32122 

Campillo Lépez, Antonio Arithmetical aspects of saturation of singularities. 92g:14023 

Cappell, Sylvain E. (with Shaneson, Julius L.) Singular spaces, characteristic classes, and 
intersection homology. 92m:37026 

Casas-Alvero, Eduardo Base points of polar curves. (French summary) 92f:14023 

Christophersen, Jan Arthur On the components and discriminant of the versal base space of 
cyclic quotient singularities. 92j:32127 





ALGEBRAIC GEOMETRY 


1992 232 


Cossart, V. Contact maximal en caractéristique positive et petite multiplicité. [Maximal 
contact for positive characteristic and small multiplicity] 92¢:14010 

Dimca, Alexandru * Topics on real and complex singularities. 92d:32048 

Fine, Jonathan (with Rao, Aroor Prabhakar) On intersection homology at isolated 
singularities. 92m:14029 

Ford, Timothy J. On the Brauer group and quotient singularities. 92h:13004 

Homann, Wilfried * Isolierte Singularitaten und gemischte Hodge-Strukturen. (German) 
[Isolated singularities and mixed Hodge structures] 92k:32069 

Ishida, Masa-Nori Cusp singularities given by reflections of stellable cones. 92m:14067 

Ishii, Shihoko Quasi-Gorenstein Fano 3-folds with isolated nonrational loci. 92a:14040 

Krasitiski, Tadeusz On branches at infinity of a pencil of polynomials in two complex 
variables. 92j:32121 

Kriiger, Bertolt * Automorphe Mengen und die artinschen Zopfgruppen. (German) 
[Automorphic sets and Artin braid groups] 92f:20037 

Laudal, O. A. (with Martin, Bernd; Pfister, Gerhard) Moduli of plane curve singularities 
with C*-action. 92j:14030 

Luengo, Ignacio (with Pfister, Gerhard) Normal forms and moduli spaces of curve 
singularities with semigroup (2p, 2g, 2pq + d). 92k:32063 

Martin, Bernd see Laudal, O. A.; et al., 92j:14030 

Mehta, V. B. (with Srinivas, V.) Normal F-pure surface singularities. 92j:14044 

Mond, D. M.Q. The number of vanishing cycles for a quasihomogeneous mapping from C? 
to C?. 92i:32038 

Noma, Atsushi Gorenstein toric singularities and convex polytopes. 92k:14054 

Pfister, Gerhard The tangent cone algorithm and some applications to local algebraic 
geometry. 92f:14063 

— see also Laudal, O. A.; et al., 92j:14030 and Luengo, Ignacio, 92k:32063 

Popescu, Dorin (with Roczen, Marko) The second Brauer-Thrall conjecture for isolated 
singularities of excellent hypersurfaces. 92f:16014 

Rao, Aroor Prabhakar see Fine, Jonathan, 92m:14029 

Roczen, Marko see Popescu, Dorin, 92f:16014 

Shaneson, Julius L. see Cappell, Sylvain E., 92m:57026 

Srinivas, V. see Mehta, V. B., 92j:14044 

Stevens, Jan A generalisation of Noether’s formula for the number of virtual double points 
to space curve singularities. 92a:14021 

Urabe, Tohsuke Combinations of rational singularities on plane sextic curves with the sum 
of Milnor numbers less than sixteen. 92g:14025 

Veys, W. Relations between numerical data of an embedded resolution. 92g:14011 

Watanabe, Kimio Distribution formula for terminal singularities on the minimal resolution 
of a quasi-homogeneous simple K3 singularity. 92d:32053 

Yau, Stephen S.-T. A remark on moduli of complex hypersurfaces. 92g:32063 

Yoshino, Yuji * Cohen-Macaulay modules over Cohen-Macaulay rings. 92b:13016 

Zaharia, Alexandru On simple germs with nonisolated singularities. 92m:32058 


14B07 Deformations of singularities [see also 14D15, 32Sxx] 


Behnke, Kurt (with Kahn, Constantin; Riemenschneider, Oswald) Infinitesimal deforma- 
tions of quotient surface singularities. 92a:14003 

— (with Christophersen, Jan Arthur) Hypersurface sections and obstructions (rational 
surface singularities). 92c:14002 

Christophersen, Jan Arthur see Behnke, Kurt, 92c:14002 

de Jong, Theo (with van Straten, Duco) A deformation theory for nonisolated singularities. 
92a:14004 

Kahn, Constantin see Behnke, Kurt; et al., 92a:14003 

Melnikov, D. A. Smoothing of singularities of Stanley-Reisner type. (Russian) 92k:14004 

Riemenschneider, Oswald see Behnke, Kurt; et al., 92a:14003 

van Straten, Duco see de Jong, Theo, 92a:14004 


Items with secondary classifications in 14B07 

de Jong, Theo (with van Straten, Duco) Deformations of the normalization of hypersur- 
faces. 92d:32050 

— (with van Straten, Duco) On the base space of a semi-universal deformation of rational 
quadruple points. 92k:32067 

Panyushev, D. I. Rationality of singularities and the Gorenstein property of nilpotent orbits. 
(Russian) 92i:14047 

van Straten, Duco see de Jong, Theo, 92d:32050 and 92k:32067 


14B12 Local deformation theory, Artin approximation, etc. 
[see also 13B40, 13D10] 


Items with secondary classifications in 14B12 

Ballico, Edoardo On the restrictions of the tangent bundle of the Grassmannians. 
92m:14015 

de Jong, Theo (with van Straten, Duco) A deformation theory for nonisolated singularities. 
92a:14004 

— (with van Straten, Duco) Deformations of the normalization of hypersurfaces. 
92d:32050 

Lejeune-Jalabert, Monique Courbes tracées sur un germe d’hypersurface. [Curves over a 
germ of a hypersurface] 92a:14002 

Pfister, Gerhard The tangent cone algorithm and some applications to local algebraic 
geometry. 92f:14063 

van Straten, Duco see de Jong, Theo, 92a:14004 and 924:32050 


14B15 Local cohomology [see also 13D45, 32C36] 


Brodmann, M. Cohomology of standard blowing-up. 92m:14007 

Lé Tuan Hoa (with Stiickrad, Jiirgen; Vogel, Wolfgang) Towards a structure theory for 
projective varieties of degree = codimension + 2. 92f:14002 

Nagel, Uwe On Castelnuovo’s regularity and Hilbert functions. 92c:14003 

Stiickrad, Jiirgen see Lé Tuan Hoa; et al., 92f:14002 





233 1992 


Vogel, Wolfgang see Lé Tuan Hoa; et al., 92f:14002 


Items with secondary classifications in 14B15 

Hamm, Helmut A. (with Lé Ding Trang) Rectified homotopical depth and Grothendieck 
conjectures. 92j:32131 

Lé Ding Trang see Hamm, Helmut A., 92j:32131 

Lipman, Joseph (with Sastry, Pramathanath) Regular differential and equidimensional 
scheme-maps. 92k:14019 

Sastry, Pramathanath see Lipman, Joseph, 92k:14019 

Verschoren, A. Relative duality. 92b:13022 


14B20 Formal neighborhoods 


Items with secondary classifications in 14B20 


Izumi, Shuzo Along a Moishezon space. I. Increase, vanishing and convergence of functions. 
92b:32017 


14Cxx Cycles and subschemes 


14C05 Parametrization (Chow and Hilbert schemes) 


Avritzer, D. (with Vainsencher, Israel) Hilb*P?. 92b:14003 

Baptista de Campos, M. La connexité de certains schemas Quot’. [Connectedness of certain 
Quot? schemes] 92g:14005 

Bifet, Emili Sur les points fixes du schéma Quoty, ; y, sous l’action du tore Gy, ,- (English 
summary) [On the fixed points of the scheme Quot,, ; ,, under the action of the torus 
Gj,,,] 920:14004 

Coppo, Marc-Antoine Familles maximales de syst¢mes de points surabondants dans P?. 
[Maximal families of superabundant systems of points in P?] 92j:14003 

Ein, Lawrence Subvarieties of generic complete intersections. II. 92h:14002 

Friedlander, Eric Mark Algebraic cycles, Chow varieties, and Lawson homology. 92a:14005 

— (with Lawson, H. Blaine, Jr.) A theory of algebraic cocycles. 92k:14005 

Lawson, H. Blaine, Jr. see Friedlander, Eric Mark, 92k:14005 

Vainsencher, Israel see Avritzer, D., 92b:14003 


Items with secondary classifications in 14C05 

Ando, Tetsuya Some remarks on Hilbert schemes of (—3, 1)-curves in algebraic 3-folds. 
92g:14038 

Ballico, Edoardo (with Bolondi, Giorgio; Migliore, Juan Carlos) The Lazarsfeld-Rao 
problem for liaison classes of two-codimensional subschemes of P”. 92c:14047 

Bolondi, Giorgio (with Kleppe, Jan O.; Miré-Roig, Rosa Maria) Maximal rank curves and 
singular points of the Hilbert scheme. 92i:14032 

— see also Ballico, Edoardo; et al., 92c:14047 

Chiantini, Luca Obstructions of ’t Hooft curves. 92¢e:14025 

Ciliberto, Ciro (with Lopez, Angelo Felice) On the existence of components of the Noether- 
Lefschetz locus with given codimension. 92i:14025 

Farag, S. F. see Mostafa, Samy M., 92k:14026 

Franke, Jens Chow categories. 92j:14004 

Keem, Changho A remark on the Hilbert scheme of smooth complex space curves. 
92:14020 

Kleiman, Steven L. Multiple-point formulas. II. The Hilbert scheme. 92a:14062 

Kleppe, Jan O. see Bolondi, Giorgio; et al., 92i:14032 

Lopez, Angelo Felice On the existence of components of the Hilbert scheme with the 
expected number of moduli. 92¢:14020 

— see also Ciliberto, Ciro, 92i:14025 

Lorentz, George G. (with Lorentz, Rudolph Alexander) Bivariate Hermite interpolation 
and applications to algebraic geometry. 92f:41004 

Lorentz, Rudolph Alexander see Lorentz, George G., 92f:41004 

Migliore, Juan Carlos see Ballico, Edoardo; et al., 92c:14047 

Miré-Roig, Rosa Maria see Bolondi, Giorgio; et al., 92i:14032 

Mostafa, Samy M.. (with Farag, S. F.) On fine moduli scheme of stable curves of genus two 
with level n-structure, n > 3. 92k:14026 

Qin, Zhenbo Birational properties of moduli spaces of stable locally free rank-2 sheaves on 
algebraic surfaces. 92h:14009 

Vainsencher, Israel Elliptic quartic curves in a generic quintic threefold. 92k:14057 


14C10 Equivalence relations 


Items with secondary classifications in 14C10 

Diaz, Steven (with Donagi, Ron) Hurwitz surfaces with nontrivial divisors. 92d:14017 

Donagi, Ron see Diaz, Steven, 92d:14017 

Kleiman, Steven L. Multiple-point formulas. II. The Hilbert scheme. 92a:14062 

Voisin, Claire Une approche infinitésimale du théoréme de H. Clemens sur les cycles d’une 
quintique générale de P*. [An infinitesimal approach to the theorem of H. Clemens on the 
cycles of a general quintic in P*] 92k:14008 


14C15 Rational equivalence rings 


Franke, Jens Chow categories. 92j:14004 

Karpenko, N. A. Cycles of codimension 3 on a projective quadric. (Russian) 92k:14006 

Keel, Sean Intersection theory of moduli space of stable n-pointed curves of genus zero. 
92:14003 

Kennedy, Gary Specialization of MacPherson’s Chern classes. 92d:14003 

Shi, He The positivity of the Chern characters of a hypersurface with singularities. 
92¢:14004 

— The equalities of the Chern classes. 92f:14004 


14C Cycles and subschemes 


14C20 


Items with secondary classifications in 14C15 

Colley, Susan Jane (with Kennedy, Gary) A higher-order contact formula for plane curves. 
92:14056 

Colliot-Thélene, Jean-Louis (with Raskind, Wayne) Groupe de Chow de codimension deux 
des variétés définies sur un corps de nombres: un théoréme de finitude pour la torsion. 
(English summary) [The codimension-two Chow group of varieties defined over a number 
field: a finiteness theorem for the torsion] 92j:14009 

Deninger, Christopher (with Murre, Jacob) Motivic decomposition of abelian schemes and 
the Fourier transform. 92m:14055 

Drechsler, Konrad (with Sterz, Ulrich) The intersection rings of the conic varieties. 
92g:14051 

Hulek, K. (with Van de Ven, A.) Some remarks concerning rank 2 bundles and Chow 
groups. 92a:14043 

Keel, Sean Intersection theory of projective linear spaces. 92e:14005 

Kennedy, Gary see Colley, Susan Jane, 92f:14056 

Landsburg, Steven E. Relative Chow groups. 92i:19007 

Lewis, James D. Some boundedness results for zero-cycles on surfaces. 92h:14003 

Marlin, Roger Une conjecture sur les anneaux de Chow A(G, Z) renforcée par un calcul 
formel. [A conjecture on the Chow rings A(G, Z), supported by a formal calculation] 
92¢:14051 

Murre, Jacob see Deninger, Christopher, 92m:14055 

Raskind, Wayne see Colliot-Théléne, Jean-Louis, 92j:14009 

Sterz, Ulrich see Drechsler, Konrad, 92g:14051 

Van de Ven, A. see Hulek, K., 92a:14043 

Zelinsky, David S. Some abelian threefolds with nontrivial Griffiths group. 92h:14005 


14C17 Intersection theory 


Achilles, Ridiger (with Manaresi, Mirella) Analytic spread of an ideal and Stiickrad-Vogel 
intersection cycle. 92i:14003 

van Gastel, Leendert J. Excess intersections and a correspondence principle. 92c:14005 

Hyry, Eero Residual multiplicities and residual intersections. 92d:14004 

Keel, Sean Intersection theory of projective linear spaces. 92e:14005 

Manaresi, Mirella see Achilles, Riidiger, 92i:14003 

O’Carroll, L. On bounding the Stiickrad-Vogel multiplicity. 92j:14005 

Speiser, Robert Limits of conormal schemes. 92f:14005 


Items with secondary classifications in 14C17 

Achilles, Riidiger (with Tworzewski, Piotr; Winiarski, Tadeusz) On improper isolated 
intersection in complex analytic geometry. 92d:32012 

Aluffi, Paolo The enumerative geometry of plane cubics. II. Nodal and cuspidal cubics. 
92f:14055 

— Two characteristic numbers for smooth plane curves of any degree. 92e:14049 

Bost, Jean-Benoit (with Gillet, Henri; Soulé, Christophe) Un analogue arithmétique 
du théoréme de Bézout. (English summary) [An arithmetical analogue of the Bézout 
theorem] 92d:14014 

Chadzytiski, Jacek (with Krasifiski, Tadeusz) On a formula for the geometric degree and 
Jung’s theorem. 92m:14022b 

Drechsler, Konrad (with Sterz, Ulrich) The intersection rings of the conic varieties. 
92g:14051 

Elkik, R. Métriques sur les fibrés d’intersection. [Metrics on intersection bundles} 
92b:14012 

Gillet, Henri (with Soulé, Christophe) Arithmetic intersection theory. 92d:14016 

— see also Bost, Jean-Benoit; et al., 92d:14014 

Keel, Sean Intersection theory of moduli space of stable n-pointed curves of genus zero. 
92£:14003 

Kennedy, Gary Specialization of MacPherson’s Chern classes. 92d:14003 

Kleiman, Steven L. (with Speiser, Robert) Enumerative geometry of nonsingular plane 
cubics. 92f:14057 

Krasitiski, Tadeusz see Chadzytiski, Jacek, 92m:14022b 

Ploski, Arkadiusz Bezout’s theorem for affine curves with one branch at infinity. 
92m:14022a 

Soulé, Christophe see Bost, Jean-Benoit; et al., 92d:14014 and Gillet, Henri, 92d:14016 

Speiser, Robert see Kleiman, Steven L., 92f:14057 

Sterz, Ulrich see Drechsler, Konrad, 92g:14051 

Teissier, Bernard Résultats récents d’algébre commutative effective. [Recent results in 
effective commutative algebra] 92e:13015 

Tworzewski, Piotr see Achilles, Riidiger; et al., 92d:32012 

Winiarski, Tadeusz see Achilles, Riidiger; et al., 92d:32012 


14C20 Divisors, linear systems, invertible sheaves 


Andreatta, Marco (with Sommese, Andrew John) On the projective normality of the 
adjunction bundles. 92g:14006 

Ballico, Edoardo (with Chiantini, Luca; Monti, V.) On the adjunction mapping for surfaces 
of Kodaira dimension < 0 in char p. 92j:14006 

Beltrametti, Mauro C. (with Sommese, Andrew John) On the relative adjunction mapping. 
92j:14007 

Biancofiore, Aldo (with Ceresa, G.) Remarks on k-spannedness for algebraic surfaces. 
92c:14006 

Catalisano, Maria Virginia Regularity and irreducibility of linear systems of plane curves 
passing through points in P? in general position, with given multiplicity. (Italian. English 
summary) 92c:14007 

Ceresa, G. see Biancofiore, Aldo, 92c:14006 

Chiantini, Luca see Ballico, Edoardo; et al., 92j:14006 

Coppens, Marc The gonality of general smooth curves with a prescribed plane nodal model. 
92m:14008 

— Free linear systems on integral Gorenstein curves. 92m:14009 

Fania, Maria Lucia (with Livorni, Elvira Laura) Polarized surfaces of A-genus 3. 92c:14008 





14C20 


Lazarsfeld, Robert A sampling of vector bundle techniques in the study of linear series. 
921:14006 

Livorni, Elvira Laura see Fania, Maria Lucia, 92c:14008 

Manaresi, Mirella Permanence of local properties under hyperplane sections. 92f:14007 

Monti, V. see Ballico, Edoardo; et al., 92j:14006 

Pareschi, Giuseppe Exceptional linear systems on curves on Del Pezzo surfaces. 92f:14008 

Rossi, Michele On the multiples of the adjoint divisor to an ample divisor on a d-fold. 
(Italian summary) 92a:14006 

Sommese, Andrew John see Andreatta, Marco, 92g:14006 and Beltrametti, Mauro C., 
92j:14007 

Zhang, Qi A theorem on the adjoint system for vector bundles. 92¢:14009 


Items with secondary classifications in 14C20 

Alexeev, Valery Ample Weil divisors on K3 surfaces with Du Val singularities. 92k:14032 

Andreatta, Marco (with Ballico, Edoardo) Classification of projective surfaces with small 
sectional genus: char p > 0. 92c:14030 

— (with Ballico, Edoardo) On the adjunction process over a surface in char. p. II. The 
singular case. 92i:14036 

Ballico, Edoardo On the gonality of nodal curves. 92b:14016 

— (with Keem, Changho) A remark on the Clifford index and higher order Clifford indices. 
92¢:14024 

— see also Andreatta, Marco, 92c:14030 and 92i:14036 

Bayer, D. A. (with Eisenbud, David) Graph curves. 924:14020 

Beltrametti, Mauro C. (with Sommese, Andrew John) New properties of special varieties 
arising from adjunction theory. 92d:14031 

— (with Fania, Maria Lucia; Sommese, Andrew John) On the adjunction-theoretic 
classification of projective varieties. 92f:14038 

Chiarli, Nadia A sharp Castelnuovo bound for the normalization of certain projective 
surfaces. 92a:14031 

Coppens, Marc Some remarks on the schemes Wj. 92h:14018 

— (with Kato, Takao) The gonality of smooth curves with plane models. 92a:14027a 

— (with Martens, Gerriet) Secant spaces and Clifford’s theorem. 92e:14021 

— (with Kato, Takao) Correction to: “The gonality of smooth curves with plane models”. 
92a:14027b 

Cukierman, Fernando (with Fong, Lung-Ying) On higher Weierstrass points. 92c:14027 

Del Centina, Andrea (with Gimigliano, Alessandro) Bi-elliptic hyperplane sections of 
projective surfaces. 92a:14032 

Démin, I. V. The cone of effective divisors on a flag manifold. (Russian) 92a:14039 

Edidin, Dan The monodromy of certain families of linear series is at least the alternating 
group. 92c:14018 

Ein, Lawrence Normal sheaves of linear systems on curves. 92d:14024 

Eisenbud, David (with Harris, Joseph Daniel) An intersection bound for rank 1 loci, with 
applications to Castelnuovo and Clifford theory. 92k:14050 

— see also Bayer, D. A., 92d:14020 

Fania, Maria Lucia see Beltrametti, Mauro C.; et al., 92f:14038 

Fong, Lung-Ying see Cukierman, Fernando, 92c:14027 

Gimigliano, Alessandro see Del Centina, Andrea, 92a:14032 

Harris, Joseph Daniel see Eisenbud, David, 92k:14050 

Kato, Takao see Coppens, Marc, 92a:14027a and 92a:14027b 

Keem, Changho see Ballico, Edoardo, 92c:14024 

Laksov, Dan (with Thorup, Anders) The Brill-Segre formula for families of curves. 
92k:14029 

Martens, Gerriet see Coppens, Marc, 92e:14021 

Mattuck, Arthur A note on the Riemann-Kempf theorem for curves. 92k:14027 

(Park, Sung Won) see Bayer, D. A., 92d:14020 

Sommese, Andrew John see Beltrametti, Mauro C., 92d:14031 and 92f:14038 

Thorup, Anders see Laksov, Dan, 92k:14029 

Tsunoda, Shuichiro (with Zhang, De-Qi) Noether’s inequality for noncomplete algebraic 
surfaces of general type. 92k:14034 

Zhang, De-Qi see Tsunoda, Shuichiro, 92k:14034 


14C21 Pencils, nets, webs [see also 53A60] 


Items with secondary classifications in 14C21 
Wall, C.T.C. Is every quartic a conic of conics? 92¢:14026 


14C22 Picard groups 


Arapura, Donu Higgs line bundles, Green-Lazarsfeld sets, and maps of Kahler manifolds to 
curves. 92m:14010 


Cornalba, Maurizio A remark on the Picard group of spin moduli space. (Italian summary) 
92k:14007 


Items with secondary classifications in 14C22 

Ciliberto, Ciro (with Lopez, Angelo Felice) On the existence of components of the Noether- 
Lefschetz locus with given codimension. 92i:14025 

Colliot-Thélene, Jean-Louis (with Raskind, Wayne) Groupe de Chow de codimension deux 
des variétés définies sur un corps de nombres: un théoréme de finitude pour la torsion. 
(English summary) [The codimension-two Chow group of varieties defined over a number 
field: a finiteness theorem for the torsion] 92j:14009 

Ekedahl, Torsten The action of monodromy on torsion points of Jacobians. 92g:14017 

Lopez, Angelo Felice see Ciliberto, Ciro, 92i:14025 

Narasimhan, M.S. (with Trautmann, G.) The Picard group of the compactification of 
Mp,(0,2). 92m:14020 

Raskind, Wayne see Colliot-Thélene, Jean-Louis, 92j:14009 

Trautmann, G. see Narasimhan, M. S., 92m:14020 


14C25 Algebraic cycles 
Bloch, Spencer Algebraic cycles and the Lie algebra of mixed Tate motives. 92i:14004 


ALGEBRAIC GEOMETRY 


1992 234 


Hain, Richard M. Algebraic cycles and extensions of variations of mixed Hodge structure. 
92j:14008 

Lewis, James D. Some boundedness results for zero-cycles on surfaces. 92h:14003 

Maroscia, Paolo Some remarks on the Hilbert function of a zero-cycle in P?. 92c:14010 

Saito, Shuji Torsion zero-cycles and étale homology of singular schemes. 92h:14004 

Shimada, Ichiro On the cylinder homomorphism for a family of algebraic cycles. 92g:14007 

Zelinsky, David S. Some abelian threefolds with nontrivial Griffiths group. 92h:14005 


Items with secondary classifications in 14C25 

Friedlander, Eric Mark Algebraic cycles, Chow varieties, and Lawson homology. 92a:14005 
Gerdes, Wolfram The linearization of higher Chow cycles of dimension one. 92j:14010 
Lang, Jeffrey Purely inseparable extensions of unique factorization domains. 92e:13012 
Namba, Makoto A remark on the theorem of Cayley-Bacharach. 92e:14041 

Sumihiro, Hideyasu Elementary transformations of algebraic vector bundles. 92e:14012 

— Elementary transformations of algebraic vector bundles. II. 92e:14013 


14C30 Transcendental methods, Hodge theory [see also 14D07, 
32G20, 32325, 32S35], Hodge conjecture 


Bardelli, Fabio On Grothendieck’s generalized Hodge conjecture for a family of threefolds 
with trivial canonical bundle. 92i:14005 

Lewis, James D. * A survey of the Hodge conjecture. 92m:14011 

Saito, Morihiko Hodge conjecture and mixed motives. I. 92m:14012 

Voisin, Claire Une approche infinitésimale du théoreme de H. Clemens sur les cycles d’une 
quintique générale de P*. [An infinitesimal approach to the theorem of H. Clemens on the 
cycles of a general quintic in P*] 92k:14008 


Items with secondary classifications in 14C30 

Aoki, Noboru Simple factors of the Jacobian of a Fermat curve and the Picard number of a 
product of Fermat curves. 92m:14057 

Arapura, Donu Higgs line bundles, Green-Lazarsfeld sets, and maps of Kahler manifolds to 
curves. 92m:14010 

Bauer, Ingrid (with Kosarew, Siegmund) Some aspects of Hodge theory on noncomplete 
algebraic manifolds. 92g:32056 

Elkik, R. Le théoréme de Manin-Drinfel’d. [The Manin-Drinfel‘d theorem] 92e:14018 

Fine, Jonathan (with Rao, Aroor Prabhakar) On intersection homology at isolated 
singularities. 92m:14029 

Fox, Jeffrey (with Haskell, Peter; Pardon, William L.) Two themes in index theory on 
singular varieties. 92e:58204 

Friedlander, Eric Mark (with Lawson, H. Blaine, Jr.) A theory of algebraic cocycles. 
92k:14005 

Gelfand, S. I. (with Manin, Yu. I.) Homological algebra. (Russian) 92a:18003b 

Hain, Richard M. Algebraic cycles and extensions of variations of mixed Hodge structure. 
92j:14008 

Haskell, Peter see Fox, Jeffrey; et al., 92e:58204 

Ichikawa, Takashi Algebraic groups associated with abelian varieties. 92f:14043 

de Jong, A. J. (with Steenbrink, J. H.M.) Picard numbers of surfaces in 3-dimensional 
weighted projective spaces. 92c:14029 

Kosarew, Siegmund The hard Lefschetz theorem for concave and convex algebraic 
manifolds. 92i:14018 

— see also Bauer, Ingrid, 92g:32056 

Lawson, H. Blaine, Jr. see Friedlander, Eric Mark, 92k:14005 

Lee, Min Ho Picard-Fuchs equations for elliptic modular varieties. 92m:14013 

Lewis, James D. Some boundedness results for zero-cycles on surfaces. 92h:14003 

Manin, Yu. I. see Gel’fand, S. I., 92a:18003b 

Murty, V. Kumar Computing the Hodge group of an abelian variety. 92g:14045 

Nikulin, Vyacheslav Valentinovich On rational maps between K3 surfaces. 92m:14049 

Pardon, William L. (with Stern, Mark A.) L?-8-cohomology of complex projective 
varieties. 92i:32034 

— see also Fox, Jeffrey; et al., 92e:58204 

Peters, C. A.M. Curvature for period domains. 92j:32076 

Rao, Aroor Prabhakar see Fine, Jonathan, 92m:14029 

Saito, Morihiko On Kollar’s conjecture. 92i:14007 

Saper, Leslie (with Zucker, Steven M.) An introduction to L?-cohomology. 92k:14023 

Simpson, Carlos T. The ubiquity of variations of Hodge structure. 92m:14014 

Steenbrink, J. H.M. see de Jong, A. J., 92c:14029 

Stern, Mark A. see Pardon, William L., 92i:32034 

Wu, Xian On an infinitesimal invariant of normal functions. 92a:14050 

Zucker, Steven M. see Saper, Leslie, 92k:14023 


14C34 Torelli problem [see also 32G20] 


Gémez-Mont, Carlos On local Torelli for a class of extremal varieties. 92d:14005 
Konno, Kazuhiro On the variational Torelli problem for complete intersections. 92f:14009 


Items with secondary classifications in 14C34 

Ciliberto, Ciro (with Sernesi, Edoardo) Singularities of the theta divisor and congruences of 
planes. 92j:14034 

Nikulin, Vyacheslav Valentinovich On rational maps between K3 surfaces. 92m:14049 

Pirola, Gian Pietro (with Teixidor i Bigas, Montserrat) Generic Torelli for Wj. 92m:14037 

Sernesi, Edoardo see Ciiiberto, Ciro, 92j:14034 

Smith, Roy Campbell (with Varley, Robert) Deformations of theta divisors and the rank 4 
quadrics problem. 92a:14025 

Sterk, Hans Compactifications of the period space of Enriques surfaces. I. 92¢:14030 

Taimanov, I. A. Prym varieties of branched coverings, and nonlinear equations. (Russian) 
92a:14026 

Teixidor i Bigas, Montserrat see Pirola, Gian Pietro, 92m:14037 

Varley, Robert see Smith, Roy Campbell, 92a:14025 





235 1992 


14C35 Applications of methods of algebraic K-theory 
[see also 14F05, 19Exx] 


Collino, A. A regulator map for surfaces with an isolated singularity. 92e:14006 
Colliot-Théléne, Jean-Louis (with Raskind, Wayne) Groupe de Chow de codimension deux 
des variétés définies sur un corps de nombres: un théoréme de finitude pour la torsion. 

(English summary) [The codimension-two Chow group of varieties defined over a number 
field: a finiteness theorem for the torsion] 92j:14009 

Esnault, Hélene Une remarque sur la cohomologie du faisceau de Zariski de la K-théorie de 
Milnor sur une variété lisse complexe. [A remark on the cohomology of the Zariski sheaf 
of Milnor K-theory on a smooth complex variety] 92c:14011 

Gerdes, Wolfram Affine Grassmannian homology and the homology of general linear 
groups. 92i:14006 

— The linearization of higher Chow cycles of dimension one. 92j:14010 

Raskind, Wayne see Colliot-Thélene, Jean-Louis, 92j:14009 


Items with secondary classifications in 14C35 


Beilinson, A. A. (with Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N.) Aomoto 
dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the 
plane. 92h:19007 

Bloch, Spencer (with Kato, Kazuya) L-functions and Tamagawa numbers of motives. 
92g:11063 

Deninger, Christopher Higher order operations in Deligne cohomology. 92b:14009 

Franke, Jens Chern functors. 92j:14011 

Goncharov, A. B. see Beilinson, A. A.; et al., 92h:19007 

Hain, Richard M. (with MacPherson, Robert) Higher logarithms. 92c:14016 

— Algebraic cycles and extensions of variations of mixed Hodge structure. 92j:14008 

Joshua, Roy Higher K-theory of the category of weakly equivariant 7-modules. 92k:19005 

Karpenko, N. A. Cycles of codimension 3 on a projective quadric. (Russian) 92k:14006 

Kato, Kazuya see Bloch, Spencer, 92g:11063 

Landsburg, Steven E. K-theory and patching for categories of complexes. 92k:18010 

— Relative Chow groups. 92i:19007 

Lichtenbaum, S. New results on weight-two motivic cohomology. 92m:14030 

MacPherson, Robert see Hain, Richard M., 92c:14016 

Panin, I. A. On algebraic K-theory of generalized flag fiber bundles and some of their 
twisted forms. 92h:19005 

— On algebraic K-theory of some principal homogeneous spaces. 92h:19006 

Parimala, R. (with Sujatha, R.) Witt group of hyperelliptic curves. 92d:11038 

Schechtman, V. V. see Beilinson, A. A.; et al., 92h:19007 

Srinivas, V. * Algebraic K-theory. 92j:19001 

Sujatha, R. see Parimala, R., 92d:11038 

Suslin, A. A. K-theory and K-cohomology of certain group varieties. 92g:19004 

Thomason, R. W. (with Trobaugh, Thomas) Higher algebraic K-theory of schemes and of 
derived categories. 92f:19001 

Trobaugh, Thomas see Thomason, R. W., 92f:19001 

Varchenko, A. N. see Beilinson, A. A.; et al., 92h:19007 

Vigué-Poirrier, Micheline Cyclic homology of algebraic hypersurfaces. 92h:19004 

Wojtkowiak, Zdzislaw A construction of analogs of the Bloch-Wigner function. 92b:11084 


14C40 Riemann-Roch theorems [see also 19E20, 19L10] 


Franke, Jens Chern functors. 92j:14011 

Joshua, Roy Riemann Roch for equivariant D-modules. I. 92d:14006 

— The trace formula for equivariant D-modules and perverse sheaves. 92d:14007 

Lewittes, Joseph Places of degree one in function fields over finite fields. 92b:14004 

Tambara, D. Chern classes of multiplicative direct image of vector bundles. 92j:14012 

Yokura, Shoji Some variants of Deligne-Grothendieck-MacPherson’s natural transforma- 
tion C, of Chern class. 92j:14013 


Items with secondary classifications in 14C40 

Bismut, Jean-Michel (with Gillet, Henri; Soulé, Christophe) Complex immersions and 
Arakelov geometry. 92a:14019 

— Superconnexions, indice local des familles, déterminant de la cohomologie et métriques 
de Quillen. [Superconnections, local index of families, determinant of cohomology and 
Quillen metrics] 92j:58101 

Bott, Raoul H. The topological constraints on analysis. 92b:01039 

Franke, Jens Chow categories. 92j:14004 

Gillet, Henri (with Soulé, Christophe) On the number of lattice points in convex symmetric 
bodies and their duals. 92k:11069 

— (with Soulé, Christophe) Analytic torsion and the arithmetic Todd genus. 92d:14015 

— see also Bismut, Jean-Michel; et al., 92a:14019 

Haran, Shai Index theory, potential theory, and the Riemann hypothesis. 92i:11094 

Kramer, Jiirg A geometrical approach to the theory of Jacobi forms. 92h:11037 

Mattuck, Arthur A note on the Riemann-Kempf theorem for curves. 92k:14027 

Namba, Makoto A remark on the theorem of Cayley-Bacharach. 92e:14041 

Peternell, Thomas Calabi-Yau manifolds and a conjecture of Kobayashi. 92g:14039 

Soulé, Christophe see Bismut, Jean-Michel; et al., 92a:14019; Gillet, Henri, 92d:14015 and 
92k:11069 

(Zagier, Don) see Gillet, Henri, 92d:14015 

Zuo, Kang Generic smoothness of the moduli spaces of rank two stable vector bundles over 
algebraic surfaces. 92i:14008 


14C99 None of the above, but in this section 


Items with secondary classifications in 14C99 


Zil’ber, B. 1. Algebraic geometry and combinatorics: a model-theoretic point of view. 
92m:05056 


14D Families, fibrations 


14Dxx Families, fibrations 


14D05 Structure of families (Picard-Lefschetz, Picard-Fuchs 
theory, etc.) 


Bolibrukh, A. A. Construction of a Fuchsian equation from a monodromy representation. 
(Russian) 92d:14008 

— The Riemann-Hilbert problem. (Russian) 92j:14014 

Dwork, Bernard * Generalized hypergeometric functions. 92h:14006 

Lee, Min Ho Picard-Fuchs equations for elliptic modular varieties. 92m:14013 

Matsuda, Michihiko * Lectures on algebraic solutions of hypergeometric differential 
equations. 92a:14007 


Items with secondary classifications in 14D05 

Arapura, Donu Vanishing th for V ifolds. 92k:32050 

Baider, Alberto (with Churchill, Richard C.) On monodromy groups of second-order 
Fuchsian equations. 92d:33034 

Bertrand, D. Extensions de D-modules et groupes de Galois différentiels. [D-module 
extensions and differential Galois groups] 92c:12006 

Churchill, Richard C. see Baider, Alberto, 92d:33034 

Gavrilov, Ljubomir (with Khorozov, E. I.) Limit cycles and zeroes of abelian integrals 
satisfying third order Picard-Fuchs equations. 92e:58167 

Khorozov, E. 1. see Gavrilov, Ljubomir, 92¢:58167 

Kuiken, Kathryn (with Masterson, John T.) Monodromy groups of differential equations on 
Riemann surfaces of genus 1. 92b:34014 

Masterson, John T. see Kuiken, Kathryn, 92b:34014 

Matsumoto, Keiji (with Sasaki, Takeshi; Yoshida, Masaaki) The Aomoto-Gel’fand 
hypergeometric function and period mappings. (Japanese) 92a:33001 

Sasaki, Takeshi see Matsumoto, Keiji; et al., 92a:33001 

Varchenko, A. N. Multidimensional hypergeometric functions and their appearance in 
conformal field theory, algebraic K-theory, algebraic geometry, etc. 92i:33004 

Yoshida, Masaaki see Matsumoto, Keiji; et al., 92a:33001 





14D07 Variation of Hodge structures 


Saito, Morihiko On Kollar’s conjecture. 92i:14007 
Simpson, Carlos T. The ubiquity of variations of Hodge structure. 92m:14014 


Items with secondary classifications in 14D07 

Cecotti, S. N = 2 Landau-Ginzburg vs. Calabi-Yau o-models: nonperturbative aspects. 
92h:32038 

— Geometry of N = 2 Landau-Ginzburg families. 92k:32037 

Cox, David A. The Noether-Lefschetz locus of regular elliptic surfaces with section and 
Pg > 2. 92g:14035 

Homann, Wilfried * Isolierte Singularitaten und gemischte Hodge-Strukturen. (German) 
[Isolated singularities and mixed Hodge structures] 92k:32069 

Konno, Kazuhiro On the variational Torelli problem for complete intersections. 92f:14009 

Peters, C. A.M. Curvature for period domains. 92j:32076 

Yiian, Hsi Shih The mirror of Calabi-Yau orbifold. 92f:14037 


14D10 Arithmetic ground fields (finite, local, global) 


Items with secondary classifications in 14D10 

Dwork, Bernard * Generalized hypergeometric functions. 92h:14006 

Shioda, Tetsuji Construction of elliptic curves with high rank via the invariants of the Weyl 
groups. 92i:11059 

Vogel, Ferdinand * Zur Uniformisierung abelscher Schemata. (German) [On the uni- 
formization of abelian schemes] 92c:14044 


14D15 Formal methods; deformations [see also 13D10, 14B07, 
16S80 32Gxx] 


Ando, Tetsuya Saturation of (—3, 1)-curves in algebraic 3-folds. 92k:14009 
Ballico, Edoardo On the restrictions of the tangent bundle of the Grassmannians. 
92m:14015 


Items with secondary classifications in 14D15 

Behnke, Kurt (with Christophersen, Jan Arthur) Hypersurface sections and obstructions 
(rational surface singularities). 92c:14002 

Berthelot, Pierre Cohomologie rigide et théorie des 2-modules. [Rigid cohomology and the 
theory of -modules] 92h:14013 

Christophersen, Jan Arthur see Behnke, Kurt, 92c:14002 

Ellia, Philippe (with Hirschowitz, André) Une remarque sur la lissification des courbes 
gauches. (English summary) [A remark about the smoothability of space curves] 
92d:14022 

Hirschowitz, André see Ellia, Philippe, 92d:14022 

Lejeune-Jalabert, Monique Courbes tracées sur un germe d’hypersurface. [Curves over a 
germ of a hypersurface] 92a:14002 

Manetti, Marco Normal degenerations of the complex projective plane. 92f:14028 

Melnikov, D. A. Smoothing of singularities of Stanley-Reisner type. (Russian) 92k:14004 

Merkulov, S. A. Quantum deformation of compactified Minkowski space. 92k:32057 

Ran, Ziv Lifting of cohomology and unobstructedness of certain holomorphic maps. 
92h:32035 

Spies, Jakob * Uber den Kritever-Funktor in der Theorie der algebraischen Kurven. 
(German) [On the Krichever functor in the theory of algebraic curves] 92¢:14024 





14D20 


14D20 Algebraic moduli problems, moduli of vector bundles {For 
analytic moduli problems, see 32G13.} 


d’Almeida, Jean Une involution sur la variété des modules des fibrés instantons de classes 
de Chern c; = 0, c2 = 4. (English summary) [An involution on the variety of instanton 
bundles with Chern classes c, = 0, c2 = 4] 92a:14008 

Balaji, V. (with Seshadri, C. S.) Cohomology of a moduli space of vector bundles. 
92c:14012 

Bauer, Stefan Parabolic bundles, elliptic surfaces and SU(2)-representation spaces of genus 
zero Fuchsian groups. 92h:14007 

Boden, Hans U. Representations of orbifold groups and parabolic bundles. 92j:14015 

Bott, Raoul H. Stable bundles revisited. 92m:14016b 

— On E. Verlinde’s formula in the context of stable bundles. 92m:14016a 

Drezet, Jean-Marc Points non factoriels des variétés de modules de faisceaux semi-stables 
sur une surface rationnelle. [Nonfactorial points of moduli varieties of semistable sheaves 
on a rational surface] 92d:14009 

— Variétés de modules extrémales de faisceaux semi-stables sur P2(C). [Varieties of extremal 
moduli of semistable sheaves on P2(C)}] 92m:14017 

Gerritzen, L. (with Piwek,M.) Degeneration of point configurations in the projective plane. 
92b:14005 

Herrlich, Frank Moduli for stable marked trees of projective lines. 92m:14018 

Klyachko, A. A. Moduli of vector bundles and numbers of classes. (Russian) 92e:14007 

Laszlo, Yves Un théoréme de Riemann pour les diviseurs théta sur les espaces de modules 
de fibrés stables sur une courbe. [A Riemann theorem for theta divisors on moduli spaces 
of stable bundles on a curve] 92m:14019 

Laumon, G. Fibrés vectoriels spéciaux. (English summary) [Special vector bundles] 
92h:14008 

Li, Yingchen Spectral curves, theta divisors and Picard bundles. 92j:14016 

Maruyama, Masaki (with Trautmann, G.) On compactifications of the moduli space of 
instantons. 92a:14009 

— (with Trautmann, G.) Degenerations of instantons. 92j:14017 

Mong, Kai-Cheong On the reducibility of moduli spaces of stable 2-bundles over an elliptic 
surface. 92k:14010 

Narasimhan, M.S. (with Trautmann, G.) The Picard group of the compactification of 
Mp,(0,2). 92m:14020 

Nitsure, Nitin Moduli space of semistable pairs on a curve. 92a:14010 

Piwek, M. see Gerritzen, L., 92b:14005 

Qin, Zhenbo Birational properties of moduli spaces of stable locally free rank-2 sheaves on 
algebraic surfaces. 92h:14009 

Seshadri, C.S. see Balaji, V., 92c:14012 

Sfovitek, Pavel On the initial condition for instanton solutions. 92¢:14013 

Szenes, Andras Verification of Verlinde’s formulas for SU(2). 92m:14021 

Trautmann, G. see Maruyama, Masaki, 92a:14009; 92j:14017 and Narasimhan, M. S., 
92m:14020 

Yokogawa, K6ji Moduli of stable pairs. 92a:14011 

Zuo, Kang Generic smoothness of the moduli spaces of rank two stable vector bundles over 
algebraic surfaces. 92i:14008 


Items with secondary classifications in 14D20 


Atiyah, Michael Francis * The geometry and physics of knots. 92b:57008 

Axelrod, Scott (with Della Pietra, Steve; Witten, Edward) Geometric quantization of 
Chern-Simons gauge theory. 92i:58064 

Beauville, Arnaud Fibrés de rang deux sur une courbe, fibré déterminant et fonctions théta. 
II. (English summary) [Rank-two vector bundles over a curve, determinant bundle and 
theta functions. II] 92m:14041 

Chai, Ching-Li see Faltings, Gerd, 92d:14036 

Della Pietra, Steve see Axelrod, Scott; et al., 92i1:58064 

Donaldson, 8. K. Instantons in Yang-Mills theory. 92c:57030 

Fahlaoui, Rachid (with Laszlo, Yves) Transformée de Fourier et stabilité sur les surfaces 
abéliennes. [Fourier transform and stability on abelian surfaces] 92i:14017 

Falqui, Gregorio (with Reina, Cesare) Conformal field theory and moduli spaces of vector 
bundles over variable Riemann surfaces. 92m:14034 

Faltings, Gerd (with Chai, Ching-Li) * Degeneration of abelian varieties. 92d:14036 

Fania, Maria Lucia (with Livorni, Elvira Laura) Polarized surfaces of A-genus 3. 92c:14008 

Hanamura, Masaki Relative birational automorphisms of algebraic fiber spaces. 92h:14010 

Hosoh, Toshio Note on stable sheaves of rank 2 on a cubic surface. 92j:14053 

— Stable sheaves of rank 2 on a 3-dimensional rational scroll. 92a:14042 

Laszlo, Yves La dimension de l’espace des sections du diviseur théta généralisé. (English 
summary) [Dimension of the space of sections of the generalized theta divisor] 
92i:14009 

— see also Fahlaoui, Rachid, 92i:14017 

Laudal, O. A. (with Martin, Bernd; Pfister, Gerhard) Moduli of plane curve singularities 
with C*-action. 92j:14030 

Livorni, Elvira Laura see Fania, Maria Lucia, 92c:14008 

Martin, Bernd see Laudal, O. A.; et al., 92j:14030 

(Mumford, David) see Faltings, Gerd, 92d:14036 

Pfister, Gerhard see Laudal, O. A.; et al., 92j:14030 

Ran, Ziv A remark on hyperelliptic curves. 92i:14028 

Reina, Cesare see Falqui, Gregorio, 92m:14034 

Simpson, Carlos T. The ubiquity of variations of Hodge structure. 92m:14014 

Teixidor i Bigas, Montserrat Brill-Noether theory for stable vector bundles. 92e:14029 

— Moduli spaces of (semi)stable vector bundles on tree-like curves. 92c:14014 

— Brill-Noether theory for vector bundles of rank 2. 92e:14028 

Viehweg, Eckart Quasi-projective quotients by compact equivalence relations. 92d:14028 

Vistoli, Angelo The Hilbert stack and the theory of moduli of families. 92k:14011 

Witten, Edward see Axelrod, Scott; et al., 92i1:58064 


14D22 Fine and coarse moduli spaces 
Kollar, Janos Projectivity of complete moduli. 92¢:14008 


ALGEBRAIC GEOMETRY 


1992 236 


Laszlo, Yves La dimension de l’espace des sections du diviseur théta généralisé. (English 
summary) [Dimension of the space of sections of the generalized theta divisor] 
92i:14009 

Teixidor i Bigas, Montserrat Moduli spaces of (semi)stable vector bundles on tree-like 
curves. 92c:14014 

Vistoli, Angelo The Hilbert stack and the theory of moduli of families. 92k:14011 


Items with secondary classifications in 14D22 

Altman, Allen B. (with Kleiman, Steven L.) The presentation functor and the compactified 
Jacobian. 92e:14023 

Diaz, Steven (with Donagi, Ron) Hurwitz surfaces with nontrivial divisors. 92d:14017 

Donagi, Ron see Diaz, Steven, 92d:14017 

Ekedahl, Torsten The action of monodromy on torsion points of Jacobians. 92g:14017 

Farag, S. F. see Mostafa, Samy M., 92k:14026 

Giveon, Amit (with Smit, Dirk-Jan) Symmetries on the moduli space of (2, 2) superstring 
vacua. 92¢:81161 

Kleiman, Steven L. see Altman, Allen B., 92e:14023 

Li, Yingchen Spectral curves, theta divisors and Picard bundles. 92j:14016 

Mostafa, Samy M. (with Farag, S. F.) On fine moduli scheme of stable curves of genus two 
with level n-structure, n > 3. 92k:14026 

Oort, Frans Hyperelliptic supersingular curves. 92¢:14043 

Smit, Dirk-Jan see Giveon, Amit, 92c:81161 

Teixidor i Bigas, Montserrat Brill-Noether theory for stable vector bundles. 92e:14029 

Viehweg, Eckart Weak positivity and the stability of certain Hilbert points. III. 92£:32033 


14D25 Geometric invariants [see also 14L30] 


Brion, Michel Cohomologie équivariante des points semi-stables. [Equivariant cohomology 
of semistable points] 92i:14010 

Popov, V. L. see Vinberg, E. B., 92d:14010 

Vinberg, E. B. (with Popov, V. L.) Invariant theory. (Russian) 92d:14010 


Items with secondary classifications in 14D25 

Bessenrodt, Christine (with Le Bruyn, Lieven) Stable rationality of certain PGL,-quotients. 
92m:14060 

Bialynicki-Birula, Andrzej (with Swiecicka, Joanna) A reduction theorem for existence of 
good quotients. 92b:14026 

Kapranov, M. M. (with Sturmfels, Bernd; Zelevinskii, A. V.) Quotients of toric varieties. 
92g:14050 

Le Bruyn, Lieven see Bessenrodt, Christine, 92m:14060 

Morrison, Ian Constructing the moduli space of stable curves. 92f:14021 

Sturmfels, Bernd see Kapranov, M. M.; et al., 92g:14050 

Swiecicka, Joanna see Bialynicki-Birula, Andrzej, 92b:14026 

Tan, Lin On the Popov-Pommerening conjecture for groups of type G2. 92k:14047 

Van den Bergh, Michel Cohen-Macaulayness of modules of covariants. 92m:14063 

(Vinberg, E. B.) see Lie groups, their discrete subgroups, and invariant theory, 92k:14001 

Weinberg, David A. (with Witte, Dave) Topological equivalence of real binary forms. 
92a:12002 

Witte, Dave see Weinberg, David A., 92a:12002 

Zelevinskii, A. V. see Kapranov, M. M.,; et al., 92g:14050 


Items listed otherwise than by author 


Lie groups, their discrete subgroups, and invariant theory * Lie groups, their discrete 
subgroups, and invariant theory. 92k:14001 


14D99 None of the above, but in this section 


Items with secondary classifications in 14D99 

Hibl, Reinhold (with Kunz, Ernst) Regular differential forms and duality for projective 
morphisms. 92a:14015 

Kunz, Ernst see Hiibl, Reinhold, 92a:14015 


14Exx Mappings and correspondences 


14E05 Rational maps, birational correspondences 


Daigle, D. Birational endomorphisms of the affine plane. 92k:14012 

Kwiecitiski, Michal A Grébner basis criterion for isomorphisms of algebcaic varieties. 
92j:14018 

Sun, Xiao Tao A note on factorization of birational mappings. (Chinese) 


Items with secondary classifications in 14E05 

Ashikaga, Tadashi A remark on the geography of surfaces with birational canonical 
morphisms. 92g:14031 

Brodmann, M. Cohomology of standard blowing-up. 92m:14007 

Fischer, Paul Mannigfaltigkeiten mit fast positivem Tangentialbiindel. [Manifolds with 
almost-positive tangent bundle] 92h:14025 

Klein, Abraham A. (with Makar-Limanov, Leonid) Skew fields of differential operators. 
92£:16022 

Makar-Limanov, Leonid see Klein, Abraham A., 92f:16022 

Mori, Shigefumi Birational classification of algebraic threefolds. 92m:14043 

Nikulin, Vyacheslav Valentinovich On rational maps between K3 surfaces. 92m:14049 

Ran, Ziv The (dimension +2)-secant lemma. 92j:14055 

— Stability of certain holomorphic maps. 92m:32029 

Romanov, L. 1. Surjective bilinear mappings. (Russian) 92c:15003 





237 1992 


14E07 Birational automorphisms, Cremona group and 
generalizations [see also 32G20] 


Bellon, M. P. (wiih Maillard, Jean-Marie; Viallet, Claude-Michel) Integrable Coxeter 
groups. 92j:14019 

— (with Maillard, Jean-Marie; Viallet, Claude-Michel) Higher-dimensional mappings. 
92j:14020 

Chadzytiski, Jacek (with Krasifiski, Tadeusz) On a formula for the geometric degree and 
Jung’s theorem. 92m:14022b 

— see also Charzytiski, Zygmunt; et al., 92f:14010 

Charzytski, Zygmunt (with Chadzynski, Jacek; Skibinski, Przemyslaw) A contribution to 
Keller’s Jacobian conjecture. IV. (Polish summary) 92f:14010 

Crauder, Bruce (with Katz, Sheldon H.) Cremona transformations and Hartshorne’s 
conjecture. 92f:14011 

Druzkowski, Ludwik M. A geometric approach to the Jacobian conjecture in C?. 92k:14013 

van den Essen, Arno Polynomial maps and the Jacobian conjecture. 92k:14014 

Hanamura, Masaki The birational automorphism groups and the Albanese maps of 
varieties with Kodaira dimension zero. 92i:14011 

— Relative birational automorphisms of algebraic fiber spaces. 92h:14010 

Iskovskikh, V. A. A simple proof of a theorem of Gizatullin. (Russian) 92b:14006 

Katz, Sheldon H. see Crauder, Bruce, 92f:14011 

Kirezci, Murat The Jacobian conjecture. I, II. (Turkish summary) 92a:14012 

Krasiriski, Tadeusz see Chadzytiski, Jacek, 92m:14022b 

Lang, Jeffrey Newton polygons of Jacobian pairs. 92i:14012 

— Jacobian pairs. II. 92k:14015 

Maillard, Jean-Marie see Bellon, M. P.; et al., 92j:14019 and 92j:14020 

Ploski, Arkadiusz Bezout’s theorem for affine curves with one branch at infinity. 
92m:14022a 

Skibitiski, Przemystaw see Charzyrski, Zygmunt; et al., 92f:14010 

Spodzieja, Stanislaw On commutativity of the composition of Whitney operators. (Polish 
summary) 92i:14013 

Viallet, Claude-Michel see Bellon, M. P.; et al., 92j:14019 and 92j:14020 

Wright, David Lee Two-dimensional Cremona groups acting on simplicial complexes. 
92g:14008 


Items with secondary classifications in 14E07 

Adjamagbo, Kossivi (with van den Essen, Arno) A differential criterion and formula for the 
inversion of a polynomial map in several variables. 92d:14011 

Bass, Hyman Linearization problems on affine varieties. 92g:14001 

Buruiana, Nicolae Singular projective threefolds whose hyperplane sections are ruled 
nonrational surfaces. 92b:14019 

Connell, Edwin (with Zweibel, John) Exact and coexact matrices. 92i:13004 

Dillen, Franki Polynomials with constant Hessian determinant. 92b:13011 

van den Essen, Arno see Adjamagbo, Kossivi, 92d:14011 

Meisters, Gary Hosler (with Olech, Czeslaw) Strong nilpotence holds in dimensions up to 
five only. 92i:15009 

Namikawa, Yoshinori On the birational structure of certain Calabi-Yau threefolds. 
92a:14038 

Olech, Czestaw see Meisters, Gary Hosler, 92i:15009 

Orevkov, S. Yu. Letter to the editors: “An example in connection with the Jacobian 
conjecture” [Mat. Zametki 47 (1990), no. 1, 127-136; MR 91e:32019]. (Russian) 
92j:32082 

Zweibel, John see Connell, Edwin, 92i:13004 


14E09 Automorphisms [see also 14J50, 14L27] 


Adjamagbo, Kossivi (with van den Essen, Arno) A differential criterion and formula for the 
inversion of a polynomial map in several variables. 92d:14011 

van den Essen, Arno see Adjamagbo, Kossivi, 92d:14011 

Hauser, Herwig (with Miller,Gerd) Automorphisms of direct products of algebroid 
spaces. 92g:14009 

Jelonek, Zbigniew Sets determining polynomial automorphisms of C?. (Russian summary) 
92e:14009 

Kolodziej, Stawomir Jung’s type theorem for polynomial transformations of C?. 92m:14023 

Miiller, Gerd see Hauser, Herwig, 92g:14009 

Tian, Wei Dong The Jacobian conjecture: a new approach. (Chinese) 92m:14024 


Items with secondary classifications in 14E09 

Adjamagbo, Kossivi (with van den Essen, Arno) Eulerian systems of partial differential 
equations and the Jacobian conjecturc. 92i:13022 

Chadzyniski, Jacek (with Krasifiski, Tadeusz) On a formula for the geometric degree and 
Jung’s theorem. 92m:14022b 

Deveney, James K. (with Finston, David R.) Rationaily triangulable automorphisms. 
92m:14062 

van den Essen, Arno Polynomial maps and the Jacobian conjecture. 92k:14014 

— see also Adjamagbo, Kossivi, 92i:13022 

Finston, David R. see Deveney, James K., 92m:14062 

Jelonek, Zbigniew A note on the Pascal theorem and automorphism of conics. 92i:14050 

Kirezci, Murat The Jacobian conjecture. I, II. (Turkish summary) 92a:14012 

Krasirtiski, Tadeusz see Chadzyriski, Jacek, 92m:14022b 

Meisters, Gary Hosler (with Olech, Czeslaw) A Jacobian condition for injectivity of 
differentiable plane maps. 92e:58023 

Olech, Czeslaw see Meisters, Gary Hosler, 92e:58023 

Ploski, Arkadiusz Bezout’s theorem for affine curves with one branch at infinity. 
92m:14022a 

Popov, V. L. On the actions of G, on A”. (Russian) 92a:14054 

Rzedowski Calderén, Martha (with Villa Salvador, Gabriel D.) Automorphisms of 
congruence function fields. 92e:14020 

Villa Salvador, Gabriel D. see Rzedowski Calderén, Martha, 92e:14020 


14E Mappings and correspondences 


14E10 General correspondences 


Items with secondary classifications in 14E10 
van Gastel, Leendert J. Excess intersections and a correspondence principle. 92c:14005 


14E15 Global theory of singularities, resolution [see also 14B05, 
32820, 32845] 


Ando, Tetsuya An example of an exceptional (—2n — 1, )-curve in an algebraic 3-fold. 
92g:14010 

Chmutov, S. V. Examples of projective surfaces with many singularities. 92k:14016 

Cossart, V. Contact maximal en caractéristique positive et petite multiplicité. [Maximal 
contact for positive characteristic and small multiplicity] 92e:14010 

Moh, T. T. On the resolution of singularities. (see 92b:00034) 

Romo Santos, Concepcién Resolution of singularities in any characteristic. (Spanish) 

Veys, W. Relations between numerical data of an embedded resolution. 92g:14011 


Items with secondary classifications in 14E15 

Bierstone, Edward (with Milman, Pierre D.) A simple constructive proof of canonical 
resolution of singularities. 92h:32053 

Borcea, Ciprian On desingularized Horrocks-Mumford quintics. 92m:14050 

Brasselet, Jean-Paul (with Fieseler, Karl-Heinz; Kaup, Ludger) Classes caractéristiques 
pour les cones projectifs et homologie d’intersection. [Characteristic classes for projective 
cones and intersection homology] 92k:14022 

Crauder, Bruce Degenerations of minimal ruled surfaces. 92d:14027 

Daigle, D. Local trees in the theory of affine plane curves. 92h:14023 

Fieseler, Karl-Heinz see Brasselet, Jean-Paul; et al., 92k:14022 

Hashimoto, Naoki Numerical algebraic surfaces. 92e:14031 

Hiibsch, Tristan Elusive conifold compactifications. 92j:81246 

Ishida, Masa-Nori The algebraic surface defined by a sum of four monomials. 92f:14041 

Katz, Sheldon H. Smail resolutions of Gorenstein threefold singularities. 92f:14001 

Kaup, Ludger see Brasselet, Jean-Paul; et al., 92k:14022 

Milman, Pierre D. see Bierstone, Edward, 92h:32053 

Roczen, Marko The Picard group of the canonical resolution of a 3-dimensional simple 
singularity. 92d:14025 

Takeda, Yoshifumi Etale Galois coverings of degree p of the affine plane. 92f:14012 

Watanabe, Kimio Distribution formula for terminal singularities on the minimal resolution 
of a quasi-homogeneous simple K3 singularity. 92d:32053 

Yokura, Shoji On a generalization of MacPherson’s Chern homology class. II. 92a:32045 

— Some variants of Deligne-Grothendieck-MacPherson’s natural transformation C, of 
Chern class. 92j:14013 


14E20 Coverings, fundamental group (mappings) 


Abhyankar, Shreeram S. Group enlargements. (French summary) 92b:14007 

Nakamura, Hiroaki On Galois automorphisms of the fundamental group of the projective 
line minus three points. 92i:14014 

Pardini, Rita Abelian covers of algebraic varieties. 92g:14012 

Raynaud, Michel p-groupes et réduction semi-stable des courbes. [p-groups and semistable 
reduction of curves] 92m:14025 

Serre, Jean-Pierre Construction de revétements étales de la droite affine en caractéristique 
p. (English summary) [Construction of étale coverings of the affine line in characteristic 
p) 92b:14008 

Takeda, Yoshifumi Etale Galois coverings of degree p of the affine plane. 92f:14012 


Items with secondary classifications in 14E20 

Chadzynski, Jacek see Charzytiski, Zygmunt; et al., 92f:14010 

Charzyrski, Zygmunt (with Chadzynski, Jacek; Skibinski, Przemysiaw) A contribution to 
Keller’s Jacobian conjecture. IV. (Polish summary) 92f:14010 

Debes, Pierre see Fried, Michael D., 92c:12005 

Ekedahl, Torsten An effective version of Hilbert’s irreducibility theorem. 92f:14018 

Fried, Michael D. (with Débes, Pierre) Rigidity and real residue class fields. 92c:12005 

Johnson, F.E. A. (with Rees, E.G.) The fundamental groups of algebraic varieties. 
92j:14025 

Lang, Jeffrey Newton polygons of Jacobian pairs. 92i:14012 

— Jacobian pairs. II. 92k:14015 

Nakamura, Hiroaki Centralizers of Galois representations in pro-/ pure sphere braid groups. 
92):14026 

Namba, Makoto On finite Galois covering germs. 92¢:32005 

Rees, E.G. see Johnson, F. E. A., 92j:14025 

Shabat, G. B. (with Voevodskii, V. A.) Drawing curves over number fields. 92f:11083 

Skibitiski, Przemysiaw see Charzytski, Zygmunt; et al., 92f:14010 

Spodzieja, Stanislaw On commutativity of the composition of Whitney operators. (Polish 
summary) 92i:14013 

Tambara, D. Chern classes of multiplicative direct image of vector bundles. 92j:14012 

Voevodskii, V. A. Etale topologies of schemes over fields of finite type over Q. (Russian) 
92j:14023 

— see also Shabat, G. B., 92f:11083 

Xiao, Gang 7; of elliptic and hyperelliptic surfaces. 92j:14049 


14E22 Ramification problems [see also 11815] 

Alonso Tarrio, Leovigildo A note on ramification. (Spanish. English summary) (see 
92g:00024) 

Harbater, David On purity of inertia. 92d:14012 

Items with secondary classifications in 14E22 


Debes, Pierre see Fried, Michael D., 92c:12005 
Fried, Michael D. (with Débes, Pierre) Rigidity and real residue class fields. 92¢:12005 





14E22 


Radionov, D. Yu. Reconstruction of special double P? from the family of lines on it. 
(Russian) 92f:14036 


14E25 Imbeddings 


Bhatwadekar, S. M. (with Roy, Amit) Some results on embedding of a line in 3-space. 
92i:14015 

Roy, Amit see Bhatwadekar, S. M., 92i:14015 

Srinivas, V. On the embedding dimension of an affine variety. 92a:14013 


Items with secondary classifications in 14E25 

Andreatta, Marco (with Sommese, Andrew John) On the projective normality of the 
adjunction bundles. 92g:14006 

— (with Ballico, Edoardo) On the adjunction process over a surface in char. p. II. The 
singular case. 92i:14036 

Ballico, Edoardo see Andreatta, Marco, 92i:14036 

Duflot, Jeanne (with Miranda, Rick) The Gaussian map for rational ruled surfaces. 
92£:14030 

Miranda, Rick see Duflot, Jeanne, 92f:14030 

Oguiso, Keiji On polarized Calabi-Yau 3-folds. 92k:14037 

Pardini, Rita Canonical images of surfaces. 92j:14050 

Shastri, Anant R. Polynomial representations of knots. 92k:57016 

Sommese, Andrew John see Andreatta, Marco, 92g:14006 


14E30 Minimal models 


Grassi, Antonella On minimal models of elliptic threefolds. 92f:14013 
(Iitaka, Shigeru) see Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigerulitaka, Shigefumi Mori and Yujiro Kawamata 
Kawamata, Yujiro On the length of an extremal rational curve. 92m:14026 
— see also Japan Academy prize-winning research on the classification theory of algebraic 
varieties by Shigerulitaka, Shigefumi Mori and Yujiro Kawamata 
(Mori, Shigefumi) see Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigerulitaka, Shigefumi Mori and Yujiro Kawamata 
Items listed otherwise than by author 
Bibliography: 
litaka, Shigeru Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigeru litaka, Shigefumi Mori and Yujiro Kawamata. (Japanese) 
Kawamata, Yujiro Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigeru litaka, Shigefumi Mori and Yujiro Kawamata. (Japanese) 
Mori, Shigefumi Japan Academy prize-winning research on the classification theory of 
algebraic varieties by Shigeru litaka, Shigefumi Mori and Yujiro Kawamata. (Japanese) 
Japan Academy prize-winning research on the classification theory of algebraic varieties by 
Shigera litaka, Shigefumi Mori and Yujiro Kawamata Japan Academy prize-winning 
research on the classification theory of algebraic varieties by Shigeru litaka, Shigefumi 
Mori and Yujiro Kawamata. (Japanese) 


Items with secondary classifications in 14E30 

Harbeurne, Brian Automorphisms of cuspidal K 3-like surfaces. 92¢:14039 

Ishii, Shihoke Quasi-Gorenstein Fano 3-folds with isolated nonrational loci. 92a:14040 

Kollar, Janos Extremal rays on smooth threefolds. 92f:14034 

Lanteri, Antonio Verticality of (—1)-lines in scrolls over smooth surfaces. 92:14035 

Nakayama, Noboru On smooth exceptional curves in threefolds. 92e:14035 

Nikulin, Vyacheslav Valentinovich Three-dimensional algebraic varieties and the diagram 
method. (Russian) 92a:14041 

Tsuji, Hajime Differential-geometric surfaces in the minimal model conjecture. (Japanese) 
92g:32057 


14E35 Results in dimension < 3 


Items with secondary classifications in 14E35 
Borcea, Ciprian On desingularized Horrocks-Mumford quintics. 92m:14050 
Mori, Shigefumi Birational classification of algebraic threefolds. 92m:14043 


Tokunaga, Hiro-o Triple coverings of algebraic surfaces according to the Cardano formula. 
92j:14047 


14E99 None of the above, but in this section 


Items with secondary classifications in 14E99 

Cherenack, Paul (with Guerra, Lucio) Spaces of morphisms between algebraic schemes. 
92k:14003 

Guerra, Lucio see Cherenack, Paul, 92k:14003 

Kawamata, Yujiro On the length of an extremal rational curve. 92m:14026 


14Fxx (Co)homology theory [see also 13Dxx] 


14F05 Vector bundles, sheaves, related construction 
[see also 18F20, 32Lxx, 46M20] 

Ancona, Vincenzo (with Ottaviani, Giorgio) An introduction to the derived categories and 
the theorem of Beilinson. 92g:14013 

— (with Ottaviani, Giorgio) Canonical resolutions of sheaves on Schubert and Brieskorn 
varieties. 92f:14014 

Banica, Constantin Structures doubles et triples sur un sous-espace complexe, applications. 
[Double and triple structures on a complex subspace, and applications] 92j:14021 

Bondal, A.I. Helices, representations of quivers and Koszul algebras. 92i:14016 


ALGEBRAIC GEOMETRY 1992 238 


Brodmann, M. Sectional genus and cohomology of projective varieties. 92k:14017 

Fahlaoui, Rachid (with Laszlo, Yves) Transformée de Fourier et stabilité sur les surfaces 
abéliennes. [Fourier transform and stability on abelian surfaces] 92i:14017 

Laszlo, Yves see Fahlaoui, Rachid, 92i:14017 

Ottaviani, Giorgio see Ancona, Vincenzo, 92f:14014 and 92g:14013 

Park, Soon-Cheol On the cohomology of affine schemes. 92e:14011 

Sumihiro, Hideyasu Elementary transformations of algebraic vector bundles. 92¢:14012 

— Elementary transformations of algebraic vector bundles. II. 92e:14013 

Tu, Li Huang Applications of the Koszul complex to computation of cohomology sheaves. 
(Chinese. English summary) 92k:14018 


Items with secondary classifications in 14F05 

d’Almeida, Jean Une involution sur la variété des modules des fibrés instantons de classes 
de Chern c; = 0, c2 = 4. (English summary) [An involution on the variety of instanton 
bundles with Chern classes c; = 0, c2 = 4] 92a:14008 

Alzati, Alberto A new Castelnuovo bound for two codimensional subvarieties of P’. 
92:14050 

Ancona, Vincenzo (with Ottaviani, Giorgio) Some applications of Beilinson’s theorem to 
projective spaces and quadrics. 92¢:14039 

Ando, Tetsuya On the normal bundle of P! in a higher-dimensional projective variety. 
92m:14040 

Ballico, Edoardo On the restrictions of the tangent bundle of the Grassmannians. 
92m:14015 

Baptista de Campos, M. La connexité de certains schemas Quot’. [Connectedness of certain 
Quot’ schemes] 92g:14005 

Bondal, A.I. (with Gorodentsev, A. L.) On the functors Ext’ applied to exceptional bundles 
on P?. 92b:14021 

Chernova, L. F. see Drozd, Yu. A., 92b:16023 

Chiantini, Luca Obstructions of ’t Hooft curves. 92¢:14025 

Drozd, Yu. A. (with Chernova, L. F.) Lattices over Noetherian algebras. (Russian. 
Ukrainian summary) 92b:16023 

Gorodentsev, A. L. see Bondal, A. I., 92b:14021 

Hulek, K. (with Van de Ven, A.) Some remarks concerning rank 2 bundles and Chow 
groups. 92a:14043 : 

Kronheimer, Peter B. (with Nakajima, Hiraku) Yang-Mills instantons on ALE gravitational 
instantons. 92e:58038 

Lanteri, Antonio A note on k-dimensional double solids. (Italian summary) 92c:14031 

Laumon, G. Fibrés vectoriels spéciaux. (English summary) [Special vector bundles] 
92h:14008 

Lazarsfeld, Robert A sampling of vector bundle techniques in the study of linear series. 
92f:14006 

Lemmer, A. A. (with Naudé, G.) A glance back at the Quillen-Suslin theorem and the recent 
status of the Bass-Quillen conjecture. (Afrikaans. English summary) 92a:13005 

Manaresi, Mirella On the jumping conics of a semistable rank two vector bundle on P?. 
92b:14023 

Mohan Kumar, N. Smooth degeneration of complete intersection curves in positive 
characteristic. 92m:14039 

Moriwaki, Atsushi A note on Bogomolov-Gieseker’s inequality in positive characteristic. 
92m:14054 

Nakajima, Hiraku see Kronheimer, Peter B., 92e:58038 

Naudé, G. see Lemmer, A. A., 92a:13005 

Ottaviani, Giorgio see Ancona, Vincenzo, 92e:14039 

Pareschi, Giuseppe Exceptional linear systems on curves on Del Pezzo surfaces. 92f:14008 

Peternell, Thomas A characterization of P,, by vector bundles. 92a:14044 

Saito, Kyoji Higher Eichler integrals and vector bundles over the moduli of spinned 
Riemann surfaces. 92m:14035 

Subramanian, Swaminathan Stability of the tangent bundle and existence of a Kahler- 
Einstein metric. 92k:14020 

Van de Ven, A. see Hulek, K., 92a:14043 

Yokogawa, K6ji Moduli of stable pairs. 92a:14011 

Zelewski, Piotr M. Ranks of chain complexes over the complex polynomial ring. 92j:13016 

Zhang, Qi A theorem on the adjoint system for vector bundles. 92c:14009 


14F10 Differentials and other special sheaves [see also 32C38] 


Hil, Reinhold (with Kunz, Ernst) Integration of differential forms on schemes. 92a:14014 

— (with Kunz, Ernst) Regular differential forms and duality for projective morphisms. 
92a:14015 

Kunz, Ernst see Hibl, Reinhold, 92a:14014 and 92a:14015 

Lipman, Joseph (with Sastry, Pramathanath) Regular differential and equidimensional 
scheme-maps. 92k:14019 

Rackwitz, Hans-Georg Symmetrische Differentialformen auf projektiven Mannig- 
faltigkeiten. (English summary) [Symmetric differential forms on projective manifolds] 
92h:14011 

Sastry, Pramathanath see Lipman, Joseph, 92k:14019 


Items with secondary classifications in 14F10 

Berthelot, Pierre Cohomologie rigide et théorie des Z-modules. [Rigid cohomology and the 
theory of Z-modules] 92h:14013 

Briickmann, Peter (with Rackwitz, Hans-Georg) 7-symmetrical tensor forms on complete 
intersections. 92a:14016 

Coleman, Robert F. Vectorial extensions of Jacobians. 92e:14042 

Glazebrook, James F. (with Grayson, D. R.; Hewitt, P. R.) Galois representations on 
holomorphic differentials. 92j:14032 

Grayson, D. R. see Glazebrook, James F.; et al., 92j:14032 

Hewitt, P.R. see Glazebrook, James F.; et al., 92j:14032 

Hil, Reinhold * Traces of differential forms and Hochschild homology. 92a:13010 

Kunz, Ernst Verallgemeinerung eines Satzes von Newton. [Generalization of a theorem of 
Newton] 92¢:14045 

Miranda, Rick The Gaussian map for certain planar graph curves. 92h:14016 





239 1992 


Mulero Diaz, Ma. Angeles Relative differentials between rings of continuous functions. 
(Spanish. English summary) (see 92b:00044) 

Nakai, Yoshikazu * Kakanwa to bibun. (Japanese) [Commutative rings and differentials} 
92i:13006 

Rackwitz, Hans-Georg see Briickmann, Peter, 92a:14016 

Srinivas, V. On the embedding dimension of an affine variety. 92a:14013 


14F17 Vanishing theorems [see also 32L20] 


Bertram, Aaron (with Ein, Lawrence; Lazarsfeld, Robert) Vanishing theorems, a theorem of 
Severi, and the equations defining projective varieties. 92g:14014 

Briickmann, Peter (with Rackwitz, Hans-Georg) 7-symmetrical tensor forms on complete 
intersections. 92a:14016 

Ein, Lawrence see Bertram, Aaron; et al., 92g:14014 

Lazarsfeld, Robert see Bertram, Aaron; et al., 92g:14014 

Manivel, Laurent Sur la cohomologie des fibrés associés au fibré quotient universel sur la 
grassmannienne. (English summary) [On the cohomology of fiber bundles associated with 
the universal quotient bundle on the Grassmannian] 92¢e:14014 

Rackwitz, Hans-Georg see Briickmann, Peter, 92a:14016 

Subramanian, Swaminathan Stability of the tangent bundle and existence of a Kahler- 
Einstein metric. 92k:14020 


Items with secondary classifications in 14F17 


Abe, Yukitaka A proof of the structure theorem of cohomology groups of holomorphic line 
bundles over a complex torus without use of the Serre duality. 92i:32035 

Alzati, Alberto On the 5-normality of codimension two subvarieties of P”. 92c:14048 

Ballico, Edoardo On Fano threefolds in characteristic p. 92g:14040 

Bauer, Ingrid (with Kosarew, Siegmund) Some aspects of Hodge theory on noncomplete 
algebraic manifolds. 92g:32056 

Démin, I. V. The cone of effective divisors on a flag manifold. (Russian) 92a:14039 

Kosarew, Siegmund see Bauer, Ingrid, 92g:32056 

Manivel, Laurent Un théoréme d’annulation pour les puissances extérieures d’un fibré 
ample. [A vanishing theorem for the exterior powers of an ample bundle] 92k:32056 

Morita, Yasuo On vanishing of cohomologies of rigid analytic spaces. 92¢:32042 

Rackwitz, Hans-Georg Symmetrische Differentialformen auf projektiven Mannig- 
faltigkeiten. (English summary) [Symmetric differential forms on projective manifolds} 
92h:14011 

Saito, Morihiko On Kollar’s conjecture. 92i:14007 

Takeda, Yoshifumi Fibrations with moving cuspidal singularities. 92f:14029 


14F20 Etale and other Grothendieck topologies and cohomologies 


Deninger, Christopher Higher order operations in Deligne cohomology. 92b:14009 

Ekedahl, Torsten On the adic formalism. 92b:14010 

Lehrer, G.I. The /-adic cohomology of hyperplane complements. 92j:14022 

Voevodskii, V. A. Etale topologies of schemes over fields of finite type over Q. (Russian) 
92j:14023 


Items with secondary classifications in 14F20 

Adolphson, Alan (with Sperber, Steven) Exponential sums on (G,,)". 92¢:11083 

Beilinson, A. A. (with Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N.) Aomoto 
dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the 
plane. 92h:19007 

Ekedahl, Torsten An effective version of Hilbert’s irreducibility theorem. 92f:14018 

Ford, Timothy J. Division algebras over nonlocal Henselian surfaces. 92d:12011 

Goncharov, A. B. see Beilinson, A. A.; et al., 92h:19007 

Joshua, Roy Generalised Verdier duality for presheaves of spectra. I. 92i:55008 

Kato, Kazuya The explicit reciprocity law and the cohomology of Fontaine-Messing. (French 
summary) 92k:11068 

Lichtenbaum, S. New results on weight-two motivic cohomology. 92m:14030 

Saito, Shuji Torsion zero-cycles and étale homology of singular schemes. 92h:14004 

Schechtman, V. V. see Beilinson, A. A.; et al., 92h:19007 

Shapiro, Jack M. Chern classes for Hermitian L-theory. 92m:19007 

Sperber, Steven see Adolphson, Alan, 92c:11083 

Suwa, Noriyuki Fermat motives and the Artin-Tate formula. I. 92m:11055a 

— Fermat motives and the Artin-Tate formula. II. 92m:11055b 

Ulbrich, K.-H. On cocycle bitorsors and gerbes over a Grothendieck topos. 92g:18006 

Varchenko, A. N. see Beilinson, A. A.; et al., 92h:19007 

Zelinsky, David S. Some abelian threefolds with nontrivial Griffiths group. 92h:14005 


14F25 Classical real and complex cohomology 


Lyubeznik, Gennady A generalization of Lichtenbaum’s theorem on the cohomological 
dimension of algebraic varieties. 92m:14027 


Items with secondary classifications in 14F25 

Balaji, V. (with Seshadri, C. S.) Cohomology of a moduli space of vector bundles. 
92¢:14012 

Boden, Hans U. Representations of orbifold groups and parabolic bundles. 92j:14015 

Brion, Michel Cohomologie équivariante des points semi-stables. [Equivariant cohomology 
of semistable points] 92i:14010 

Seshadri, C.S. see Balaji, V., 92c:14012 


14F30 p-adic cohomology, crystalline cohomology 


André, Yves p-adic Betti lattices. 92¢:14015 

Berthelot, Pierre Cohomologie rigide et théorie des D-modules. [Rigid cohomology and the 
theory of D-modules] 92h:14013 

— (with Messing, William) Théorie de Dieudonné cristalline. III. Théorémes d’équivalence 
et de pleine fidélité. (Crystalline Dieudonné theory. III. Equivalence and full-faithfulness 
theorems] 92h:14012 


14F (Co)homology theory 


14¥40 


Coleman, Robert F. The universal vectorial bi-extension and p-adic heights. 92k:14021 

Faltings, Gerd F-isocrystals on open varieties: results and conjectures. 92f:14015 

Haastert, Burkhard (with Jantzen, Jens Carsten) Filtrations of symmetric powers via 
crystalline cohomology. 92a:14017 

Jantzen, Jens Carsten see Haastert, Burkhard, 92a:14017 

van der Marel, Bert see Stienstra, Jan; et al., 92g:14015 

Messing, William see Berthelot, Pierre, 92h:14012 

Ogus, Arthur The convergent topos in characteristic p. 92b:14011 

van der Put, Marius see Stienstra, Jan; et al., 92g:14015 

Quirés, Adolfo On the divisibility properties of families of filtered F-crystals. 92e:14015 

Stienstra, Jan The generalized de Rham-Witt complex and congruence differential 
equations. 92f:14016 

— (with van der Put, Marius; van der Marel, Bert) On p-adic monodromy. 92g:14015 

Wintenberger, Jean-Pierre Torseur entre cohomologie étale p-adique et cohomologie 
cristalline; le cas abélien. [Torsor between p-adic étale cohomology and crystalline 
cohomology; the abelian case] 92j:14024 


Items with secondary classifications in 14F30 

Adolphson, Alan (with Sperber, Steven) p-adic estimates for exponential sums. 92d:11086 

— (with Sperber, Steven) On twisted exponential sums. 92g:11086 

Bloch, Spencer (with Kato, Kazuya) L-functions and Tamagawa numbers of motives. 
92g:11063 

Coleman, Robert F. Vectorial extensions of Jacobians. 92¢e:14042 

Deninger, Christopher On the I-factors attached to motives. 92i:11065 

Fontaine, Jean-Marc Représentations p-adiques des corps locaux. I. [p-adic representations 
of local fields. I] 92i:11125 

Kato, Kazuya The explicit reciprocity law and the cohomology of Fontaine-Messing. (French 
summary) 92k:11068 

— see also Bloch, Spencer, 92g:11063 

Ogus, Arthur A p-adic analogue of the Chowla-Selberg formula. 92i:11060 

Raynaud, Michel p-groupes et réduction semi-stable des courbes. [p-groups and semistable 
reduction of curves] 92m:14025 

Schneider, Peter Motivic Iwasawa theory. 92g:11064 

Sperber, Steven see Adolphson, Aian, 92d:11086 and 92g:11086 

Suwa, Noriyuki Fermat motives and the Artin-Tate formula. I. 92m:11055a 

— Fermat motives and the Artin-Tate formula. II. 92m:11055b 


14F32 Intersection (co)homology [see also 32S60] 


Brasselet, Jean-Paul (with Fieseler, Karl-Heinz; Kaup, Ludger) Classes caractéristiques 
pour les cones projectifs et homologie d’intersection. [Characteristic classes for projective 
cones and intersection homology] 92k:14022 

Fieseler, Karl-Heinz Rational intersection cohomology of projective toric varieties. 
92m:14028 

— see also Brasselet, Jean-Paul; et al., 92k:14022 

Fine, Jonathan (with Rao, Aroor Prabhakar) On intersection homology at isolated 
singularities. 92m:14029 

Ginzburg, V. A. Perverse sheaves and C*-actions. 92d:14013 

Kaup, Ludger see Brasselet, Jean-Paul; et al., 92k:14022 

Kosarew, Siegmund The hard Lefschetz theorem for concave and convex algebraic 
manifolds. 92i:14018 

Mebkhout, Zoghman (with Narvaez-Macarro, Luis) Sur les coefficients de de Rham- 
Grothendieck des variétés algébriques. [On the de Rham-Grothendieck coefficients of 
algebraic varieties] 92g:14016 

Narvaez-Macarro, Luis see Mebkhout, Zoghman, 92g:14016 

Rao, Aroor Prabhakar see Fine, Jonathan, 92m:14029 

Saper, Leslie (with Zucker, Steven M.) An introduction to L?-cohomology. 92k:14023 

Zucker, Steven M. see Saper, Leslie, 92k:14023 


Items with secondary classifications in 14F32 

Ekedahl, Torsten On the adic formalism. 92b:14010 

Fieseler, Karl-Heinz see Kaup, Ludger, 92d:14041 

Hamm, Helmut A. Morse theory on singular spaces and Lefschetz theorems. 92b:32044 

Katz, Nicholas M. Perversity and exponential sums. 92m:11080 

Kaup, Ludger (with Fieseler, Karl-Heinz) Hyperbolic C*-actions on affine algebraic 
surfaces. 92d:14041 

Lusztig, George Intersection cohomology methods in representation theory. 92m:20034 

Ohsawa, Takeo Cheeger-Goreski [Goresky]-MacPherson’s conjecture for the varieties with 
isolated singularities. 92d:32056 


14F35 Homotopy theory; fundamental groups [see also 14E20, 
14H30] 


Johnson, F.E. A. (with Rees, E.G.) The fundamental groups of algebraic varieties. 
92j:14025 

Nakamura, Hiroaki Centralizers of Galois representations in pro-/ pure sphere braid groups. 
92j:14026 

Rees, E.G. see Johnson, F. E. A., 92j:14025 


Items with secondary classifications in 14F35 

Arapura, Donu Higgs line bundles, Green-Lazarsfeld sets, and maps of Kahler manifolds to 
curves. 92m:14010 

Friedlander, Eric Mark Algebraic cycles, Chow varieties, and Lawson homology. 92a:14005 

— (with Lawson, H. Blaine, Jr.) A theory of algebraic cocycles. 92k:14005 

Hamm, Helmut A. Morse theory on singular spaces and Lefschetz theorems. 92b:32044 

Lawson, H. Blaine, Jr. see Friedlander, Eric Mark, 92k:14005 

Xiao, Gang 7; of elliptic and hyperelliptic surfaces. 92j:14049 


14F40 de Rham cohomology [see also 14C30, 32C35, 32L10] 





14F40 


Items with secondary classifications in 14F40 

Arapura, Donu Higgs line bundles, Green-Lazarsfeld sets, and maps of Kahler manifolds to 
curves. 92m:14010 

Berthelot, Pierre (with Messing, William) Théorie de Dieudonné cristalline. III. Théorémes 
d’équivalence et de pleine fidélité. [Crystalline Dieudonné theory. III. Equivalence and 
full-faithfulness theorems] 92h:14012 

Hiabl, Reinhold (with Kunz, Ernst) Integration of differential forms on schemes. 92a:14014 

Illusie, Lac Cohomologie de de Rham et cohomologie étale p-adique (d’aprés G. Faltings, 
J.-M. Fontaine et al.). [de Rham cohomology and p-adic étale cohomology (following G. 
Faltings, J.-M. Fontaine et al.)] 92e:11034 

Karoubi, Max Théorie générale des classes caractéristiques secondaires. (English summary) 
[General theory of secondary characteristic classes] 92a:55006 

Karpishpan, Yakov Pole order filtration on the cohomology of algebraic links. 92d:32051 

Kosarew, Siegmund The hard Lefschetz theorem for concave and convex algebraic 
manifolds. 92i:14018 

Kunz, Ernst see Hibl, Reinhold, 92a:14014 

Messing, William see Berthelot, Pierre, 92h:14012 

Ogus, Arthur The convergent topos in characteristic p. 92b:14011 

Stienstra, Jan The generalized de Rham-Witt complex and congruence differential 
equations. 92f:14016 


14F45 Topological properties 


Items with secondary classifications in 14F45 

Bruce, J. W. Euler characteristics of real varieties. 92c:14057 

Miyanishi, Masayoshi (with Sugie, Tohru) Q-homology planes with C**-fibrations. 
92d:14029 

Nakamura, Iku A subadjunction formula and Moishezon fourfolds homeomorphic to Pé. 
92h:14024 

Oguiso, Keiji An elementary proof of the topological Euler characteristic formula for an 
elliptic surface. 92b:14017 

Shustin, E. 1. New restrictions on the topology of real curves with degree divisible by 8. 
(Russian) 92a:14064 

Sugie, Tohru see Miyanishi, Masayoshi, 92d:14029 


14F99 None of the above, but in this section 


Hain, Richard M. (with MacPherson, Robert) Higher logarithms. 92c:14016 

Huber, Annette Adéle fiir Schemata und Zariski-Kohomologie. [Adéles for schemes and 
Zariski cohomology] 92h:14014 

— On the Parshin-Beilinson adéles for schemes. 92k:14024 

Lichtenbaum, S. New results on weight-two motivic cohomology. 92m:14030 

MacPherson, Robert see Hain, Richard M., 92c:14016 


Items with secondary classifications in 14F99 

Bloch, Spencer Algebraic cycles and the Lie algebra of mixed Tate motives. 92i:14004 

Fieseler, Karl-Heinz (with Kaup, Ludger) Fixed points, exceptional orbits, and homology 
of affine C*-surfaces. 92¢:14044 

Hain, Richard M. Algebraic cycles and extensions of variations of mixed Hodge structure. 
92j:14008 

Kaup, Ludger see Fieseler, Karl-Heinz, 92e:14044 

Mebkhout, Zoghman (with Narvaez-Macarro, Luis) Sur les coefficients de de Rham- 
Grothendieck des variétés algébriques. [On the de Rham-Grothendieck coefficients of 
algebraic varieties] 92g:14016 

Narvdez-Macarro, Luis see Mebkhout, Zoghman, 92g:14016 


14Gxx Arithmetic problems. Diophantine geometry 
[see also 11Dxx, 11Gxx] 


14G05 Rationality questions, rational points 


Maehara, Kazuhisa On the higher-dimensional Mordell conjecture over function fields. 
92m:14031 


Silverman, Joseph H. Rational points on K3 surfaces: a new canonical height. 92k:14025 


Items with secondary classifications in 14G05 

van der Geer, Gerard (with van der Vlugt, Marcel) Artin-Schreier curves and codes. 
92i:14020 

Hefez, Abramo (with Voloch, J. F.) Correction to: “Frobenius nonclassical curves” [Arch. 
Math. (Basel) 54 (1990), no. 3, 263-273; MR 91e:14018]. 92i:14021 

Hooley, Christopher On the number of points on a complete intersection over a finite field. 
92i:11061 

(Katz, Nicholas M.) see Hooley, Christopher, 92i:11061 

Menezes, Alfred (with Vanstone, Scott A.) Isomorphism classes of elliptic curves over finite 
fields of characteristic 2. 92a:11071 

Miyano, Toshiki (with Noguchi, Junjiro) Moduli spaces of harmonic and holomorphic 
mappings and Diophantine geometry. 92j:32093 

Noguchi, Junjiro see Miyano, Toshiki, 92j:32093 

Park, Hwasin Idempotent relations and the conjecture of Birch and Swinnerton-Dyer. 
92m:14032 

Silverman, Joseph H. Rational points on symmetric products of a curve. 92m:11060 

Vanstone, Scott A. see Menezes, Alfred, 92a:11071 

van der Viugt, Marcel see van der Geer, Gerard, 92i:14820 

Voloch, J. F. A Diophantine problem on algebraic curves over function fields of positive 
characteristic. (French summary) 92g:11061 

— see also Hefez, Abramo, 92i:14021 


ALGEBRAIC GEOMETRY 


1992 240 


Wong, Pit-Mann Second main theorems in number theory and Nevanlinna theory. 
92i:32029 


14G10 Zeta-functions and related questions [see also 11G40] 
(Birch-Swinnerton-Dyer conjecture) 
Lichtenbaum, S. Behavior of the zeta-function of open surfaces at s = 1. 92i:14019 


Items with secondary classifications in 14G10 


Adolphson, Alan (with Sperber, Steven) Exponential sums on (G,,)". 92¢:11083 

Bayer, Pilar (with Frey, Gerhard) Galois representations of octahedral type and 2-coverings 
of elliptic curves. 92d:11058 

Bloch, Spencer (with Kato, Kazuya) L-functions and Tamagawa numbers of motives. 
92g:11063 

Deninger, Christopher (with Scholl, Anthony J.) The Beilinson conjectures. 92h:11056 

— Higher order operations in Deligne cohomology. 92b:14009 

— On the I-factors attached to motives. 92i:11065 

Frey, Gerhard see Bayer, Pilar, 92d:11058 

van der Geer, Gerard (with van der Vlugt, Marcel) Artin-Schreier curves and codes. 
92i:14€20 

Kato, Kazuya see Bloch, Spencer, 92g:11063 

Koblitz, Neal Jacobi sums, irreducible zeta-polynomials, and cryptography. 92e:11067 

Lachaud, Gilles (with Martin-Deschamps, Mireille) Nombre de points des jacobiennes sur 
un corps fini. [Number of points of the Jacobian over a finite field] 92d:11065 

(Langlands, Robert P.) see Zeta functions of Picard modular surfaces, 92m:14001 

Martin-Deschamps, Mireille see Lachaud, Gilles, 924d:11065 

McCallum, William G. Kolyvagin’s work on Shafarevich-Tate groups. 92m:11062 

Mestre, Jean-Francois (with Schappacher, Norbert) Séries de Kronecker et fonctions L des 
puissances symétriques de courbes elliptiques sur Q. [Kronecker series and L-functions of 
symmetric powers of elliptic curves over Q] 92c:11062 

Moreno, Carlos Julio * Algebraic curves over finite fields. 92d:11066 

Pinch, R. G. E. (with Swinnerton-Dyer, H. P. F.) Arithmetic of diagonal quartic surfaces. I. 
92d:11068 

(Ramakrishnan, Dinakar) see Zeta functions of Picard modular surfaces, 92m:14001 

Schappacher, Norbert see Mestre, Jean-Francois, 92c:11062 

Scholl, Anthony J. Remarks on special values of L-functions. 92h:11057 

— see also Deninger, Christopher, 92h:11056 

Sperber, Steven see Adolphson, Alan, 92c:11083 

Suwa, Noriyuki Fermat motives and the Artin-Tate formula. I. 92m:11055a 

— Fermat motives and the Artin-Tate formula. II. 92m:11055b 

Swinnerton-Dyer, H. P. F. see Pinch, R. G. E., 92d:11068 

van der Viugt, Marcel see van der Geer, Gerard, 92i:14020 

Yui, Noriko Special values of zeta-functions of Fermat varieties over finite fields. 92i:11063 


Items listed otherwise than by author 


Zeta functions of Picard modular surfaces * The zeta functions of Picard modular surfaces. 
92m:14001 


14G15 Finite ground fields 


van der Geer, Gerard (with van der Vlugt, Marcel) Artin-Schreier curves and codes. 
92i:14020 

Hefez, Abramo (with Voloch, J. F.) Correction to: “Frobenius nonclassical curves” [Arch. 
Math. (Basel) 54 (1990), no. 3, 263-273; MR 91e:14018]. 92i:14021 

Riick, Hans-Georg Abelian surfaces and Jacobian varieties over finite fields. 92e:14016 

Vasquez, A. T. Rational desingularization of a curve defined over a finite field. 92f:14017 

van der Viugt, Marcel see van der Geer, Gerard, 92i:14020 

Voloch, J. F. see Hefez, Abramo, 92i:14021 


Items with secondary classifications in 14G15 


Adolphson, Alan (with Sperber, Steven) Exponential sums on (Fj)". 92k:11063 

Carral, M. (with Rotillon, D.; Thiong Ly, Jean-Augustin) Codes defined from some 
maximal curves. 92e:94027 

Fernandez Gutiérrez, Diego see Rivero Alvarez, Margarita, (92b:00044) 

Hooley, Christopher On the number of points on a complete intersection over a finite field. 
92i:11061 

(Katz, Nicholas M.) see Hooley, Christopher, 92i:11061 

Lachaud, Gilles (with Martin-Deschamps, Mireille) Nombre de points des jacobiennes sur 
un corps fini. [Number of points of the Jacobian over a finite field] 92d:11065 

Martin-Deschamps, Mireille see Lachaud, Gilles, 92d:11065 

Menezes, Alfred (with Vanstone, Scott A.) Isomorphism classes of elliptic curves over finite 
fields of characteristic 2. 92a:11071 

Moreno, Carlos Julio * Algebraic curves over finite fields. 92d:11066 

Munuera Gémez, Carlos On the number of rational points of elliptic curves defined over 
finite fields. (Spanish. English summary) (see 92b:00044) 

Quebbemann, H.-G. On even codes. 92m:94022 

Rivero Alvarez, Margarita (with Fernandez Gutiérrez, Diego) Equisingularity of plane 
algebroid branched curves over finite fields. (Spanish. English summary) (see 92b:00044) 

Rotillon, D. see Carral, M.; et al., 92e:94027 

Sperber, Steven see Adolphson, Alan, 92k:11063 

Stichtenoth, Henning On automorphisms of geometric Goppa codes. 92c:94006 

Thiong Ly, Jean-Augustin see Carral, M.; et al., 92e:94027 

Vanstone, Scott A. see Menezes, Alfred, 92a:11071 

van Wee, Gerhard J. M. * Covering codes, perfect codes, and codes from algebraic curves. 
92k:94029 

Yamanishi, Kenji Construction and performance evaluation of Fermat codes. 92d:94029 

Yui, Noriko Special values of zeta-functions of Fermat varieties over finite fields. 92i:11063 





241 1992 


14G20 p-adic ground fields 
Herrlich, Frank The non-Archimedean extended Teichmiiller space. 92e:14017 


Items with secondary classifications in 14G20 

Bélair, Luc Spectre p-adique: aspects topologiques et géométriques. [The p-adic spectrum: 
topological and geometric aspects] 92g:12010 

Coleman, Robert F. On the Frobenius matrices of Fermat curves. 92m:11057 

Genestier, Alain Irréductibilité du revétement de Drinfel’d. (English summary) [Irreducibil- 
ity of the Drinfel’d covering] 92f:11168 

Harbater, David On purity of inertia. 92d:14012 

Raynaud, Michel p-groupes et réduction semi-stable des courbes. [p-groups and semistable 
reduction of curves] 92m:14025 

Schneider, Peter (with Stuhler, U.) The cohomology of p-adic symmetric spaces. 
92k:11057 

Stuhler, U. see Schneider, Peter, 92k:11057 

Veys, W. On the poles of Igusa’s local zeta function for curves. 92j:11142 


14G25 Global ground fields 


Colliot-Thélene, Jean-Louis Surfaces rationnelles fibrées en coniques de degré 4. [Rational 
surfaces fibered by conics of degree 4] 92j:14027 
Ekedahl, Torsten An effective version of Hilbert’s irreducibility theorem. 92f:14018 


Items with secondary classifications in 14G25 

Chinburg, T. (with Rumely, R.) Well-adjusted models for curves over Dedekind rings. 
92e:11068 

Deninger, Christopher On the I’-factors attached to motives. 92i:11065 

Edixhoven, Bas On the Manin constants of modular elliptic curves. 92a:11066 

Hindry, Mare (with Silverman, Joseph H.) On Lehmer’s conjecture for elliptic curves. 
92¢:11062 

Lewis, Donald J. Diophantine problems: solved and unsolved. 92f:11054 

Pinch, R. G. E. (with Swinnerton-Dyer, H. P. F.) Arithmetic of diagonal quartic surfaces. I. 
92d:11068 

Rumely, R. see Chinburg, T., 92e:11068 

Schmidt, Wolfgang M. A remark on the heights of subspaces. 92f:11084 

Shabat, G. B. (with Voevodskii, V. A.) Drawing curves over number fields. 92f:11083 

Silverman, Joseph H. Rational points on symmetric products of a curve. 92m:11060 

— see also Hindry, Marc, 92e:11062 

Skorobogatov, A. N. On the fibration method for proving the Hasse principle and weak 
approximation. 92i:11064 

Swinnerton-Dyer, H. P. F. see Pinch, R. G. E., 92d:11068 

Voevodskii, V. A. see Shabat, G. B., 92f:11083 


14G27 Nonalgebraically closed ground fields 


Bujalance, Emilio (with Etayo Gordejuela, José Javier; Gamboa, José M.; Gromadzki, 
Grzegorz) * Automorphism groups of compact bordered Klein surfaces. 92a:14018 

Etayo Gordejuela, José Javier see Bujalance, Emilio; et al., 92a:14018 

Gamboa, José M. see Bujalance, Emilio; et al., 92a:14018 

Gromadzki, Grzegorz see Bujalance, Emilio; et al., 92a:14018 

Schwartz, Niels Compactification of varieties. 92i:14022 


Items with secondary classifications in 14G27 

Bruce, J. W. Euler characteristics of real varieties. 92¢:14057 

Noguchi, Junjiro Moduli space of abelian varieties with level structure over function fields. 
92¢:14042 

Parimala, R. (with Sujatha, R.) Levels of nonreal function fields of real rational surfaces. 
92j:14071 

Shustin, E. I. New restrictions on the topology of real curves with degree divisible by 8. 
(Russian) 92a:14064 

Sujatha, R. see Parimala, R., 92j:14071 


14G35 Modular and Shimura varieties [see also 11F 41, 11F 46, 
11G18] 


Ekedahl, Torsten The action of monodromy on torsion points of Jacobians. 92g:14017 

Elkik, R. Le théor¢me de Manin-Drinfel’d. [The Manin-Drinfel’d theorem] 92¢:14018 

Takeuchi, Kisao Algebraic surfaces derived from unit groups of quaternion algebras. 
92i:14023 


Items with secondary classifications in 14G35 

Cohen, Paula M.S. (with Wolfart, Jiirgen) Modular embeddings for some nonarithmetic 
Fuchsian groups. 92d:11039 

Edixhoven, Bas Minimal resolution and stable reduction of Xo(N). (French summary) 
92:11080 

Ekedahl, Torsten (with van Geemen, Bert) An exceptional isomorphism between modular 
varieties. 92f:11081 

Feustel, Jan Eine Klassenzahlformel fiir singulare Moduln der Picardschen Modulgruppen. 
[A class number formula for singular moduli of the Picard modular groups] 92d:11049 

van Geemen, Bert see Ekedahl, Torsten, 92f:11081 

Goldfeld, Dorian Parametrization of modular elliptic curves by Poincaré series. 92k:11060 

Grundman, H. G. The arithmetic genus of Hilbert modular varieties over non-Galois cubic 
fields. 92d:11047 

— On the classification of Hilbert modular threefolds. 92g:11046 

Hermann, Carl Friedrich Modulflachen quadratischer Diskriminante. [Modular surfaces of 
quadratic discriminants] 92e:11038 

de Jong, Johan (with Noot, Rutger) Jacobians with complex multiplication. 92d:11063 

(Langlands, Robert P.) see Zeta functions of Picard modular surfaces, 92m:14001 

Lewis, Donald J. Diophantine problems: solved and unsolved. 92f:11054 


14H Curves 


14H05 


Noot, Rutger see de Jong, Johan, 92d:11063 

Pink, Richard * Arithmetical compactification of mixed Shimura varieties. 92h:11054 

(Ramakrishnan, Dinakar) see Zeta functions of Picard modular surfaces, 92m:14001 

Taylor, Richard Galois representations associated to Siegel modular forms of low weight. 
92j:11044 

Wolfart, Jiirgen see Cohen, Paula M. S., 92d:11039 


Items listed otherwise than by author 


Zeta functions of Picard modular surfaces * The zeta functions of Picard modular surfaces. 
92m:14001 


14G40 Arithmetic varieties and schemes; Arakelov theory 


Bismut, Jean-Michel (with Gillet, Henri; Soulé, Christophe) Complex immersions and 
Arakelov geometry. 92a:1401S 

Bost, Jean-Benoit (with Mestre, Jean-Francois; Moret-Bailly, Laurent) Sur le calcul 
explicite des “classes de Chern” des surfaces arithmétiques de genre 2. [On the explicit 
calculation of the “Chern classes” of arithmetic surfaces of genus 2] 92g:14018b 

— (witn Gillet, Henri; Soulé, Christophe) Un analogue arithmétique du théor¢me de 
Bézout. (English summary) [An arithmetical analogue of the Bézout theorem] 92d:14014 

Elkik, R. Métriques sur les fibrés d’intersection. [Metrics on intersection bundles} 
92b:14012 

Gillet, Henri (with Soulé, Christophe) Arithmetic intersection theory. 92d:14016 

— (with Soulé, Christophe) Analytic torsion and the arithmetic Todd genus. 92d:14015 

— see also Bismut, Jean-Michel; et al., 92a:14019 and Bost, Jean-Benoit; et al., 92d:14014 

Manin, Yu. I. Three-dimensional hyperbolic geometry as co-adic Arakelov geometry. 
92f:14019 

Mestre, Jean-Francois see Bost, Jean-Benoit; et al., 92g:14018b 

Moret-Bailly, Laurent Hauteurs et classes de Chern sur les surfaces arithmétiques. [Heights 
and Chern classes on arithmetic surfaces] 92g:14018a 

— see also Bost, Jean-Benoit; et al., 92g:14018b 

Park, Hwasin Idempotent relations and the conjecture of Birch and Swinnerton-Dyer. 
92m:14032 

Soulé, Christophe see Bismut, Jean-Michel; et al., 92a:14019; Bost, Jean-Benoit; et al., 
92d:14014; Gillet, Henri, 92d:14015 and 924:14016 

Szpiro, Lucien Sur les propriétés numériques du dualisant relatif d’une surface 
arithmétique. [On the numerical properties of the relative dualizing sheaf of an arithmetic 
surface] 92c:14017 

— Sur les solutions d’un systéme d’équations polynomiales sur une variété abélienne (d’aprés 
G. Faltings et P. Vojta). [On solutions of a system of polynomial equations on an abelian 
variety (after G. Faltings and P. Vojta)] 92i:14024 

Wentworth, Richard The asymptotics of the Arakelov-Green’s function and Faltings’ delta 
invariant. 92g:14019 

(Zagier, Don) see Gillet, Henri, 92d:14015 


Items with secondary classifications in 14G40 


Bismut, Jean-Michel Superconnexions, indice local des familles, déterminant de la 
cohomologie et métriques de Quillen. [Superconnections, local index of families, 
determinant of cohomology and Quilien metrics] 92j:58101 

Chinburg, T. (with Rumely, R.) Well-adjusted models for curves over Dedekind rings. 
92e:11068 

Gillet, Henri (with Soulé, Christophe) On the number of lattice points in convex symmetric 
bodies and their duals. 92k:11069 

Hiibschke, Eduard * Arakelovtheorie fiir Zahlkérper. (German) [Arakelov theory for 
number fields] 92h:11101 

Jorgenson, Jay Analytic torsion for line bundles on Riemann surfaces. 92g:58132 

Philippon, Patrice Sur des hauteurs alternatives. I. [On alternative heights. I] 92m:11061 

Rumely, R. see Chinburg, T., 92e:11068 

Silverman, Joseph H. (with Voloch, J. F.) Multiple Weierstrass points. 92f:14027 

Soulé, Christophe see Gillet, Henri, 92k:11069 

Teissier, Bernard Résultats récents d’algebre commutative effective. [Recent results in 
effective commutative algebra] 92e:13015 

Vojta, Paul Arithmetic discriminants and quadratic points on curves. 92j:11059 

Voloch, J. F. see Silverman, Joseph H., 92f:14027 

Voronov, A. A. Erratum: “A unified approach to string scattering amplitudes” (Comm. 
Math. Phys. 131 (1990), no. 1, 179-218; MR 91f:14024]. 92j:14029 

Wentworth, Richard Asymptotics of determinants from functional integration. 92k:58271 


14G99 None of the above, but in this section 


Items with secondary classifications in 14G99 

Maehara, Kazuhisa On the higher-dimensional Mordell conjecture over function fields. 
92m:14031 

Noguchi, Junjiro Moduli spaces of holomorphic mappings into hyperbolic spaces and its 
applications. 92k:32043 


14Hxx Curves 


14H05 Algebraic functions; function fields [see also 11R58] 


Cutillas Ripoll, Pascual On the discrete valuations of certain function fields over compact 
Riemann surfaces. 92g:14020 

Kang, Ming Chang On Abhyankar-Moh’s epimorphism theorem. 92g:14021 

Koo, Ja Kyung On holomorphic differentials of some algebraic function field of one variable 
over C. 92¢:14019 

Rzedowski Calderén, Martha (with Villa Salvador, Gabriel D.) Automorphisms of 
congruence function fields. 92e:14020 

Villa Salvador, Gabriel D. see Rzedowski Calderén, Martha, 92e:14020 





14H05 


Items with secondary classifications in 14H05 

Garcia, Arnaldo (with Stichtenoth, Henning) Elementary abelian p-extensions of algebraic 
function fields. 92j:11139 

Lewittes, Joseph Places of degree one in function fields over finite fields. 92b:14004 

Previato, Emma Another algebraic proof of Weil’s reciprocity. (Italian summary) 92j:14042 

Shlapentokh, Alexandra Hilbert’s tenth problem for rings of algebraic functions in one 
variable over fields of constants of positive characteristic. 92m:11144 

Stichtenoth, Henning see Garcia, Arnaldo, 92j:11139 


14H10 Families, moduli (algebraic) 


Chang, Mei-Chu (with Ran, Ziv) On the slope and Kodaira dimension of M, for small g. 
92h:14015 

Ciliberto, Ciro (with Lopez, Angelo Felice) On the existence of components of the Noether- 
Lefschetz locus with given codimension. 92i:14025 

Coppens, Mare (with Martens, Gerriet) Secant spaces and Clifford’s theorem. 92e:14021 

Diaz, Steven (with Donagi, Ron) Hurwitz surfaces with nontrivial divisors. 92d:14017 

Donagi, Ron see Diaz, Steven, 92d:14017 

Edidin, Dan The monodromy of certain families of linear series is at least the alternating 
group. 92c:14018 

Eisenbud, David (with Elkies, N. D.; Harris, Joseph Daniel; Speiser, Robert) On the 
Hurwitz scheme and its monodromy. 92¢:14019 

Elkies, N. D. see Eisenbud, David; et al., 92c:14019 

Farag, S. F. see Mostafa, Samy M., 92k:14026 

Gieseker, D. (with Knérrer, Horst; Trubowitz, Eugene) An overview of the geometry of 
algebraic Fermi curves. 92i:14026 

Harris, Joseph Daniel see Eisenbud, David; et al., 92c:14019 

Keem, Changho A remark on the Hilbert scheme of smooth complex space curves. 
92f:14020 

Knorrer, Horst see Gieseker, D.; et al., 92i:14026 

Liu, Qing La réduction stable des courbes de genre 2 et le schéma de modules IN. (English 
summary) [The stable reduction of curves of genus two and the moduli space 2] 
92i:14027 

Lopez, Angelo Felice On the existence of components of the Hilbert scheme with the 
expected number of moduli. 92c:14020 

— see also Ciliberto, Ciro, 92i:14025 

Martens, Gerriet see Coppens, Marc, 92e:14021 

Mestre, Jean-Francois Construction de courbes de genre 2 a partir de leurs modules. 
[Constructing genus-2 curves from their moduli] 92g:14022 

Miranda, Rick The Gaussian map for certain planar graph curves. 92h:14016 

Morrisen, Ian Constructing the moduli space of stable curves. 92f:14021 

Mostafa, Samy M. (with Farag, S. F.) On fine moduli scheme of stable curves of genus two 
with level n-structure, n > 3. 92k:14026 

Nobile, Augusto On the geometric realization of Albanese’s inequality. 92f:14022 

Ran, Ziv A remark on hyperelliptic curves. 92i:14028 

— see also Chang, Mei-Chu, 92h:14015 

Schubert, David A new compactification of the moduli space of curves. 92d:14018 

Speiser, Robert see Eisenbud, David; et al., 92c:14019 

Trubowitz, Eugene see Gieseker, D.; et al., 92i:14026 


Items with secondary classifications in 14H10 


Bayer, D. A. (with Eisenbud, David) Graph curves. 92d:14020 

Catalisano, Maria Virginia Regularity and irreducibility of linear systems of plane curves 
passing through points in P? in general position, with given multiplicity. (Italian. English 
summary) 92c:14007 

Cornalba, Maurizio A remark on the Picard group of spin moduli space. (Italian summary) 
92k:14007 

Cukierman, Fernando (with Fong, Lung-Ying) On higher Weierstrass points. 92c:14027 

Eisenbud, David see Bayer, D. A., 92d:14020 

Fleystad, Gunnar Construction of space curves with good properties. 92h:14021 

Fong, Lung-Ying see Cukierman, Fernando, 92c:14027 

Herrlich, Frank Moduli for stable marked trees of projective lines. 92m:14018 

Keel, Sean Intersection theory of moduli space of stable n-pointed curves of genus zero. 
92:14003 

Kollar, Janos Projectivity of complete moduli. 92e:14008 

Kouvidakis, Alexis The Picard group of the universal Picard varieties over the moduli space 
of curves. 92m:14042 

Lazarsfeld, Robert A sampling of vector bundle techniques in the study of linear series. 
921:14006 

Miranda, Rick Graph curves and curves on K3 surfaces. 92¢:14025 

Oort, Frans Hyperelliptic supersingular curves. 92c:14043 

Pareschi, Giuseppe Exceptional linear systems on curves on Del Pezzo surfaces. 92f:14008 

(Park, Sung Won) see Bayer, D. A., 92d:14020 

Wall, C.T.C. Pencils of cubic curves and rational elliptic surfaces. 92j:14048 


14H15 Families, moduli (analytic) [see also 30F10, 32Gxx] 


Boratyniski, M. On the curves of contact on surfaces in a projective space. 92m:14033 

Chueshev, V. V. Cohomological Gunning fibration and the Torelli group. (Russian) 
92a:14020 

Falqui, Gregorio (with Reina, Cesare) Conformal field theory and moduli spaces of vector 
bundles over variable Riemann surfaces. 92m:14034 

Ferrari, Franco String theories on Riemann surfaces of algebraic functions. 92b:14013 

Gonzalez Diez, Gabino (with Harvey, William J.) On complete curves in moduli space. I, II. 
92j:14028 

— Loci of curves which are prime Galois coverings of P'. 92c:14021 

Harvey, William J. see Gonzalez Diez, Gabino, 92j:14028 

Natanzon, S. M. Klein surfaces. (Russian) 92i:14029 

Reina, Cesare see Falqui, Gregorio, 92m:14034 


ALGEBRAIC GEOMETRY 1992 


Saito, Kyoji Higher Eichler integrals and vector bundles over the moduli of spinned 
Riemann surfaces. 92m:14035 

Sobezyk, Jan (with Urbanik, W.) A canonical form of an algebraic equation for genus 3 
Riemann surfaces. 92h:14017 

Urbanik, W. see Sobczyk, Jan, 92h:14017 

Voronov, A. A. Erratum: “A unified approach to string scattering amplitudes” [Comm. 
Math. Phys. 131 (1990), no. 1, 179-218; MR 91f:14024]. 92j:14029 


Items with secondary classifications in 14H15 


Bikbaev, R. F. Whitham restructuring and time asymptotics of the solution of a nonlinear 
Schrédinger equation with finite-gap behavior as x — too. (Russian) 92g:35198 

Chair, Noureddine The (orbifold) Euler characteristic of the moduli space of curves and the 
continuum limit of Penner’s connected generating function. 92k:32036 

Distler, Jacques (with Nelson, Philip) Topological couplings and contact terms in 2d field 
theory. 92c:81157 

— (with Vafa, Cumrun) A critical matrix model at c = 1. 92¢:81177 

Falqui, Gregorio (with Reina, Cesare) Supermoduli and superstrings. 92f:14054 

Grinevich, P.G. (with Orlov, A. Yu.) Effect of additional symmetries of K-P equation on 
finite-gap solutions and variations of Riemann surfaces. The Krichever-Novikov problem. 
(see 92i:58002) 

Harer, John The third homology group of the moduli space of curves. 92d:57012 

Harvey, William J. Projective and superconformal structures on surfaces. 92m:14069 

Hejhal, Dennis A. Regular b-groups, degenerating Riemann surfaces, and spectral theory. 
92h:11043 

Knecht, M. (with Lazzarini, S.; Stora, R.) On holomorphic factorization for free conformal 
fields. 92m:81252 

Korotkin, D. A. Self-dual Yang-Mills fields and deformations of algebraic curves. 92b:14015 

La, HoSeong Thermodynamics of handles. 92b:81184 

Lazzarini, S. see Knecht, M.; et al., 92m:81252 

Nelson, Philip see Distler, Jacques, 92¢:81157 

Orlov, A. Yu. see Grinevich, P. G., (92i:58002) 

Radul, A. O. see Vaisburd, I. D., 92e:58226 

Reina, Cesare see Falqui, Gregorio, 92f:14054 

Sato, Hiroki Classical Schottky groups of real type of genus two. II. 92j:32073 

Segal, Graeme B. Two-dimensional conformal field theories and modular functors. 
92b:81192 

Stora, R. see Knecht, M.,; et al., 92m:81252 : 

Taimanov, I. A. Prym varieties of branched coverings, and nonlinear equations. (Russian) 
92a:14026 

Takama, Michiaki Super Beltrami differentials. 92k:32015 

Takhtadzhyan, L. A. (with Zograf, P.G.) A local index theorem for families of 9-operators 
on punctured Riemann surfaces and a new Kahler metric on their moduli spaces. 
92g:58121 

Tsuchiya, Akihiro (with Yamada, Yasuhiko) Conformal field theory on moduli family of 
stable curves with gauge symmetries. 92a:81192 

— (with Ueno, Kenji; Yamada, Yasuhiko) Conformal field theory on universal family of 
stable curves with gauge symmetries. 92a:81191 

Tsuyumine, Shigeaki Thetanullwerte on a moduli space of curves and hyperelliptic loci. 
92j:14037 

Ueno, Kenji see Tsuchiya, Akihiro; et al., 92a:81191 

Vafa,Cumrun see Distler, Jacques, 92e:81177 

Vaisburd, I. D. (with Radul, A.O.) Nonorientable strings. 92e:58226 

Yamada, Yasuhiko see Tsuchiya, Akihiro; et al., 92a:81191 and 92a:81192 

Zaidenberg, M. G. Families of curves and hyperbolicity. (Russian) 92f:32041 

Zograf, P. G. see Takhtadzhyan, L. A., 92g:58121 


14H20 Singularities, local rings [see also 13Hxx] 


Campillo Lopez, Antonio Arithmetical aspects of saturation of singularities. 92g:14023 

Casas-Alvero, Eduardo Base points of polar curves. (French summary) 92f:14023 

Castellanos, Julio The dual graph for space curves. 92g:14024 

Laudal, O. A. (with Martin, Bernd; Pfister, Gerhard) Moduli of plane curve singularities 
with C*-action. 92j:14030 

Martin, Bernd see Laudal, O. A.; et al., 92j:14030 

Pfister, Gerhard see Laudal, O. A.; et al., 92j:14030 

Stevens, Jan A generalisation of Noether’s formula for the number of virtual double points 
to space curve singularities. 92a:14021 

Urabe, Tohsuke Combinations of rational singularities on plane sextic curves with the sum 
of Milnor numbers less than sixteen. 92g:14025 


Items with secondary classifications in 14H20 

Antonyuk, P. N. (with Stanyukovich, K. P.) The logistic difference equation. Period 
doublings and Fermat numbers. (Russian) 924:11019 

Aouira, Safwan (with Pfister, Gerhard) Weakly quasihomogeneous hypersurface singulari- 
ties in positive characteristic. 92m:14004 

Bayer, D. A. (with Eisenbud, David) Graph curves. 92d:14020 

Bayer, Valmecir (with Hefez, Abramo) Strange curves. 92j:14038 

Boratytiski, M. Locally complete intersection multiple structures on smooth algebraic 
curves. 92j:14039 

Castellanos, Julio (with Nufiez Jiménez, Carolina Ana) On the geometry of the sequence of 
infinitely near points. 92g:14004 

Coppens, Marc Free linear systems on integral Gorenstein curves. 92m:14009 

Cutkosky, Steven Dale When are the blow ups of two ideals the same scheme? 92j:14002 

Eisenbud, David see Bayer, D. A., 92d:14020 

Hefez, Abramo see Bayer, Valmecir, 92j:14038 

Herzog, Jiirgen (with Ulrich, Bernd) Self-linked curve singularities. 92c:13010 

Lejeune-Jalabert, Monique Sur |’équivalence des singularités de courbes algébroides planes. 
Coefficients de Newton. [On the equivalence of singularities of plane algebroid curves. 
Newton coefficients] 92b:14002 





243 1992 


Luengo, Ignacio (with Pfister, Gerhard) Normal forms and moduli spaces of curve 
singularities with semigroup (2p, 2q, 2pq + d). 92k:32063 

Niifiez Jiménez, Carolina Ana see Castellanos, Julio, 92g:14004 

Ooishi, Akira On the conductor of the blowing-up of a one-dimensional Gorenstein local 
ring. 92k:13013 

(Park, Sung Won) see Bayer, D. A., 92d:14020 

Pfister, Gerhard see Luengo, Ignacio, 92k:32063 and Aouira, Safwan, 92m:14004 

Schrauwen, Rob Deformations and the Milnor number of nonisolated plane curve 
singularities. 92j:32128 

Stanyukovich, K. P. see Antonyuk, P. N., 92d:11019 

Ulrich, Bernd see Herzog, Jiirgen, 92c:13010 

Vasquez, A. T. Rational desingularization of a curve defined over a finite field. 92f:14017 

Wall, C. T.C. Is every quartic a conic of conics? 92¢:14026 

Watanabe, Keiichi F-regular and F-pure normal graded rings. 92g:13003 


14H25 Arithmetic ground fields [see also 11Dxx, 11G05, 14Gxx] 


Irokawa, Susumu (with Sasaki, Ryuji) A remark on Artin-Schreier curves whose Hasse-Witt 
maps are the zero maps. 92j:14031 

Leprévost, Franck Familles de courbes de genre 2 munies d’une classe de diviseurs~ 
rationnels d’ordre 15, 17, 19 ou 21. (English summary) [Families of curves of genus 2 
with a rational divisor class of order 15, 17, 19 or 21] 92m:14036 

Sasaki, Ryuji see Irokawa, Susumu, 92j:14031 


Items with secondary classifications in 14H25 

Abramovich, Dan (with Harris, Joseph Daniel) Abelian varieties and curves in W,(C). 
92¢:14022 

Ayad, M. Sur le théoréme de Runge. [On Runge’s theorem] 92m:11028 

Bombieri, Enrico The Mordell conjecture revisited. 92a:11072 

— Errata-corrige: “The Mordell conjecture revisited” [Ann. Scuola Norm. Sup. Pisa Cl. Sci. 
(4) 17 (1990), no. 4, 615-640; MR 92a:11072]. 92k:11064 

Chinburg, T. (with Rumely, R.) Well-adjusted models for curves over Dedekind rings. 
92¢e:11068 

Harris, Joseph Daniel see Abramovich, Dan, 92c:14022 

Liu, Qing La réduction stable des courbes de genre 2 et le schéma de modules I. (English 
summary) [The stable reduction of curves of genus two and the moduli space It] 
92i:14027 

Mestre, Jean-Francois Construction de courbes de genre 2 a partir de leurs modules. 
[Constructing genus-2 curves from their moduli] 92g:14022 

Rumely, R. see Chinburg, T., 92e:11068 


Silverman, Joseph H. Some arithmetic properties of Weierstrass points: hyperelliptic curves. 


92k:11066 
Voloch, J. F. On the conjectures of Mordell and Lang in positive characteristics. 92d:11067 


14H30 Coverings, fundamental group [see also 14E20, 14F35] 


Abramovich, Dan (with Harris, Joseph Daniel) Abelian varieties and curves in W,(C). 
92¢:14022 

Glazebrook, James F. (with Grayson, D. R.; Hewitt, P. R.) Galois representations on 
holomorphic differentials. 92j:14032 

Goldberg, Lisa R. Catalan numbers and branched coverings by the Riemann sphere. 
92b:14014 

Grayson, D. R. see Glazebrook, James F.; et al., 92j:14032 

Harris, Joseph Daniel see Abramovich, Dan, 92c:14022 

Hewitt, P. R. see Glazebrook, James F.; et al., 92j:14032 

Serre, Jean-Pierre Revétements 4 ramification impaire et théta: téristiques. (English 
summary) [Coverings with odd ramification and theta characteristics] 92a:14022 





Items with secondary classifications in 14H30 

Bolibrukh, A. A. Construction of a Fuchsian equation from a monodromy representation. 
(Russian) 92d:14008 

i -Hilbert problem. (Russian) 92j:14014 

Diaz, Steven (with Donagi, Ron) Hurwitz surfaces with nontrivial divisors. 92d:14017 

Donagi, Ron see Diaz, Steven, 92d:14017 

Eisenbud, David (with Elkies, N. D.; Harris, Joseph Daniel; Speiser, Robert) On the 
Hurwitz scheme and its monodromy. 92¢:14019 

Elkies, N. D. see Eisenbud, David; et al., 92c:14019 

Farkas, Hershel M. (with Kra, Irwin) Branched two-sheeted covers. 92j:14041 

Gonzalez Diez, Gabino (with Harvey, William J.) On complete curves in moduli space. I, II. 
92j:14028 

— Loci of curves which are prime Galois coverings of P'. 92c:14021 

Harbater, David On purity of inertia. 92d:14012 

Harris, Joseph Daniel see Eisenbud, David; et al., 92c:14019 

Harvey, William J. see Gonzalez Diez, Gabino, 92j:14028 

Kra, Irwin see Farkas, Hershel M., 92j:14041 

Nakamura, Hiroaki On Galois automorphisms of the fundamental group of the projective 
line minus three points. 92i:14014 

Previato, Emma The Calogero-Moser-Krichever system and elliptic Boussinesq solitons. 
92e:58100 

Raynaud, Michel p-groupes et réduction semi-stable des courbes. [p-groups and semistable 
reduction of curves] 92m:14025 

Shabat, G. B. (with Voevodskii, V. A.) Drawing curves over number fields. 92f:11083 

Speiser, Robert see Eisenbud, David; et al., 92c:14019 

Tautz, Walter (with Top, Jaap; Verberkmoes, Alain) Explicit hyperelliptic curves with real 
multiplication and permutation polynomials. 92j:11058 

Top, Jaap see Tautz, Walter; et al., 92j:11058 

Verberkmoes, Alain see Tautz, Walter; et al., 92j:11058 

Voevodskii, V. A. see Shabat, G. B., 92f:11083 

Yamamoto, Hiro-o An example of a nonclassical Schottky group. 92m:30078 





14H Curves 


14H35 Correspondences [see also 14Exx] 


Kaji, Hajime On the Gauss maps of space curves in characteristic p. II. 92i:14030 
Mestre, Jean-Francois Familles de courbes hyperelliptiques a multiplications réelles. 
[Families of hyperelliptic curves with real multiplication] 92e:14022 


Items with secondary classifications in 14H35 


Tautz, Walter (with Top, Jaap; Verberkmoes, Alain) Explicit hyperelliptic curves with real 
multiplication and permutation polynomials. 92j:11058 

Top, Jaap see Tautz, Walter; et al., 92j:11058 

Verberkmoes, Alain see Tautz, Walter; et al., 92j:11058 


14H40 Jacobians [see also 32G20] 


Adams, Malcolm R. (with McCrory, Clint; Shifrin, Theodore; Varley, Robert) Symmetric 
Lagrangian singularities and Gauss maps of theta divisors. 92j:14033 

Altman, Allen B. (with Kleiman, Steven L.) The presentation functor and the compactified 
Jacobian. 92¢:14023 

Ciliberto, Ciro (with Sernesi, Edoardo) Singularities of the theta divisor and congruences of 
planes. 92j:14034 

Contou-Carreére, C. Jacobiennes généralisées globales relatives. [Relative global generalized 
Jacobians] 92c¢:14023 

Coppens, Marc Some remarks on the schemes Wj. 92h:14018 

Kleiman, Steven L. see Altman, Allen B., 92e:14023 

Lorenzini, Dino J. Groups of components of Néron models of Jacobians. 924:14019 

Mattuck, Arthur A note on the Riemann-Kempf theorem for curves. 92k:14027 

McCrory, Clint see Adams, Malcolm R.; et al., 92j:14033 

Pirola, Gian Pietro (with Teixidor i Bigas, Montserrat) Generic Torelli for Wj. 92m:14037 

Sernesi, Edoardo see Ciliberto, Ciro, 92j:14034 

Shifrin, Theodore see Adams, Malcolm R.; et al., 92j:14033 

Spies, Jakob * Uber den Kritever-Funktor in der Theorie der algebraischen Kurven. 
(German) [On the Krichever functor in the theory of algebraic curves] 92¢:14024 

Teixidor i Bigas, Montserrat see Pirola, Gian Pietro, 92m:14037 

Varley, Robert see Adams, Malcolm R.; et al., 92j:14033 


Items with secondary classifications in 14H40 

Abramovich, Dan (with Harris, Joseph Daniel) Abelian varieties and curves in W,(C). 
92¢:14022 

Adams, Malcolm R. (with Harnad, J.; Hurtubise, Jacques) Isospectral Hamiltonian flows in 
finite and infinite dimensions. II. Integration of flows. 92a:58055 

Alber, Solomon J. Hamiltonian systems on the Jacobi varieties. 92f:58074 

Arbarello, Enrico (with De Concini, Corrado) Geometrical aspects of the Kadomtsev- 
Petviashvili equation. 92a:14023 

Beauville, Arnaud Fibrés de rang deux sur une courbe, fibré déterminant et fonctions théta. 
II. (English summary) [Rank-two vector bundles over a curve, determinant bundle and 
theta functions. II] 92m:14041 

Bott, Raoul H. Stable bundles revisited. 92m:14016b 

— On E. Verlinde’s formula in the context of stable bundles. 92m:14016a 

Cassels, J. W.S. Arithmetic of curves of genus 2. 92j:11057 

Choi, Jae Hoon (with Kim, Jae Kwan) Generalized characters of the level-one Wess- 
Zumino-Witten model for simply laced groups on Riemann surfaces. 92h:81147 

Chueshev, V. V. Cohomological Gunning fibration and the Torelli group. (Russian) 
92a:14020 

Coleman, Robert F. Vectorial extensions of Jacobians. 92e:14042 

Coppens, Marc (with Martens, Gerriet) Secant spaces and Clifford’s theorem. 92e:14021 

De Concini, Corrado see Arbarello, Enrico, 92a:14023 

Del Centina, Andrea (with Verdi, Luisella) A remark on the nonvanishing terms in the 
power series expansion of © around a point. 92f:14024 

Ekedahl, Torsten The action of monodromy on torsion points of Jacobians. 92g:14017 

Harnad, J. Moment map embeddings of isospectral Hamiltonian flows into loop algebras. 
92c:58047 

— see also Adams, Malcolm R.; et al., 92a:58055 

Harris, Joseph Daniel see Abramovich, Dan, 92c:14022 

Hurtubise, Jacques see Adams, Malcolm R.; et al., 92a:58055 

Izadi, E. Fonctions théta du second ordre sur la Jacobienne d’une courbe lisse. [Second- 
order theta functions on the Jacobian of a smooth curve] 92a:14024 

de Jong, Johan (with Noot, Rutger) Jacobians with complex multiplication. 92d:11063 

Kim, Jae Kwan see Choi, Jae Hoon, 92h:81147 

Kouvidakis, Alexis The Picard group of the universal Picard varieties over the moduli space 
of curves. 92m:14042 

Laszlo, Yves Un théoréme de Riemann pour les diviseurs théta sur les espaces de modules 
de fibrés stables sur une courbe. [A Riemann theorem for theta divisors on moduli spaces 
of stable bundles on a curve] 92m:14019 

Martens, Gerriet see Coppens, Marc, 92e:14021 

McCrory, Clint (with Shifrin, Theodore; Varley, Robert) The Gauss map of a genus three 
theta divisor. 92h:14019 

Mestre, Jean-Francois Familles de courbes hyperelliptiques 4 multiplications réelles. 
[Families of hyperelliptic curves with real multiplication] 92e:14022 

Moser, Jiirgen (with Veselov, A. P.) Discrete versions of some classical integrable systems 
and factorization of matrix polynomials. 92g:58054 

Mulase, Motohico A new super KP system and a characterization of the Jacobians of 
arbitrary algebraic super curves. 92k:14028 

Natanzon, S. M. Klein surfaces. (Russian) 92i:14029 

Noot, Rutger see de Jong, Johan, 92d:11063 

(Oesterlé, Joseph) see Treibich, A., 92f:14026 

Rabin, Jeffrey M. The geometry of the super KP flows. 92f:58087 

Shifrin, Theodore see McCrory, Clint; et al., 92h:14019 

Silverman, Joseph H. (with Voloch, J. F.) Multiple Weierstrass points. 92f:14027 

Taimanov, I. A. Two-dimensional finite-gap potential Schrodinger operators. (Russian) 
92g:58059 





14H40 


Treibich, A. (with Verdier, J.-L.) Solitons elliptiques. [Elliptic solitons] 92f:14026 

Varley, Robert see McCrory, Clint; et al., 92h:14019 

Verdi, Luisella see Del Centina, Andrea, 92f:14024 

Verdier, J.-L. see Treibich, A., 92f:14026 

Veselov, A. P. Confocal surfaces and integrable billiards on the sphere and in the 
Lobachevsky space. 92b:58110 

— see also Moser, Jiirgen, 92g:58054 

Voloch, J. F. see Silverman, Joseph H., 92f:14027 


14H42 Theta functions; Schottky problem [see also 14K25, 
32G20] 


Arbarello, Enrico (with De Concini, Corrado) Geometrical aspects of the Kadomtsev- 
Petviashvili equation. 92a:14023 

Debarre, Olivier Trisecant lines and Jacobians. 92j:14035 

De Concini, Corrado see Arbarello, Enrico, 92a:14023 

Del Centina, Andrea (with Verdi, Luisella) A remark on the nonvanishing terms in the 
power series expansion of 8 around a point. 92f:14024 

Izadi, E. Fonctions théta du second ordre sur la Jacobienne d’une courbe lisse. [Second- 
order theta functions on the Jacobian of a smooth curve] 92a:14024 

Korotkin, D. A. Self-dual Yang-Mills fields and deformations of algebraic curves. 92b:14015 

McCrory, Clint (with Shifrin, Theodore; Varley, Robert) The Gauss map of a genus three 
theta divisor. 92h:14019 

Mulase, Motohico A new super KP system and a characterization of the Jacobians of 
arbitrary algebraic super curves. 92k:14028 

Poor, Cris Fay’s trisecant formula and cross-ratios. 92f:14025 

Raina, A. K. Chiral fermions on a Riemann surface and the trisecant identity. 92h:14020 

— An algebraic geometry study of the b-c system with arbitrary twist fields and arbitrary 
Statistics. 92j:14036 

Shifrin, Theodore see McCrory, Clint; et al., 92h:14019 

Smith, Roy Campbell (with Varley, Robert) Deformations of theta divisors and the rank 4 
quadrics problem. 92a:14025 

Taimanov, I. A. Prym varieties of branched coverings, and nonlinear equations. (Russian) 
92a:14026 

Tsuyumine, Shigeaki Thetanullwerte on a moduli space of curves and hyperelliptic loci. 
92j:14037 

Varley, Robert see Smith, Roy Campbell, 92a:14025 and McCrory, Clint; et al., 92h:14019 

Verdi, Luisella see Del Centina, Andrea, 92f:14024 


Items with secondary classifications in 14H42 

Adams, Malcolm R. (with Harnad, J.; Hurtubise, Jacques) Integrable Hamiltonian systems 
on rational coadjoint orbits of loop algebras. 92d:58072 

— (with McCrory, Clint; Shifrin, Theodore; Varley, Robert) Symmetric Lagrangian 
singularities and Gauss maps of theta divisors. 92j:14033 

Beauville, Arnaud Fibrés de rang deux sur une courbe, fibré déterminant et fonctions théta. 
II. (English summary) [Rank-two vector bundles over a curve, determinant bundle and 
theta functions. II] 92m:14041 

Ciliberto, Ciro (with Sernesi, Edoardo) Singularities of the theta divisor and congruences of 
planes. 92j:14034 

Gonzalez Diez, Gabino (with Harvey, William J.) On complete curves in moduli space. 1, II. 
92j:14028 

Harnad, J. see Adams, Malcolm R.; et al., 924:58072 

Harvey, William J. see Gonzalez Diez, Gabino, 92j:14028 

Hurtubise, Jacques see Adams, Malcolm R.; et al., 92d:58072 

Kempf, George R. * Complex abelian varieties and theta functions. 92h:14028 

Laumon, G. Fibrés vectoriels spéciaux. (English summary) [Special vector bundles] 
92h:14008 

McCrory, Clint see Adams, Malcolm R.; et al., 92j:14033 

Raina, A. K. Analyticity and chiral fermions on a Riemann surface. 92¢:81188 

Saito, Satoru Integrability of strings. 92m:81219 

Sernesi, Edoardo see Ciliberto, Ciro, 92j:14034 

Serre, Jean-Pierre Revétements a ramification impaire et théta-caractéristiques. (English 
summary) [Coverings with odd ramification and theta characteristics] 92a:14022 

Shifrin, Theodore see Adams, Malcolm R.; et al., 92j:14033 

Varley, Robert see Adams, Malcolm R.; et al., 92j:14033 

Wentworth, Richard The asymptotics of the Arakelov-Green’s function and Faltings’ delta 
invariant. 92g:14019 


14H45 Special curves and curves of low genus 


Ballico, Edoardo On the gonality of nodal curves. 92b:14016 

— (with Keem, Changho) A remark on the Clifford index and higher order Clifford indices. 
92¢:14024 

— (with Hefez, Abramo) Nonreflexive projective curves of low degree. 92g:14026 

Bayer, D. A. (with Eisenbud, David) Graph curves. 92d:14020 

Bayer, Valmecir (with Hefez, Abramo) Strange curves. 92j:14038 

Boratyriski, M. Locally complete intersection multiple structures on smooth algebraic | 
curves. 92j:14039 

Caire, Luisella Plane curves of genus p and degree 2p as projections of space curves of the 
same degree. 92d:14021 

Coppens, Mare (with Kato, Takao) The gonality of smooth curves with plane models. 
92a:14027a 

— (with Kato, Takao) Correction to: “The gonality of smooth curves with plane models”. 
92a:14027b 

Eisenbud, David see Bayer, D. A., 92d:14020 

Hefez, Abramo see Ballico, Edoardo, 92g:14026 and Bayer, Valmecir, 92j:14038 

Jaffe, David B. Smooth curves on a cone which pass through its vertex. 92i:14031 

Kato, Takao see Coppens, Marc, 92a:14027a and 92a:14027b 

Keem, Changho see Ballico, Edoardo, 92c:14024 

Miranda, Rick Graph curves and curves on K3 surfaces. 92¢:14025 


ALGEBRAIC GEOMETRY 


(Park, Sung Won) see Bayer, D. A., 92d:14020 
Schreyer, Frank-Olaf A standard basis approach to syzygies of canonical curves. 92j:14040 
Wall, C. T. C. Is every quartic a conic of conics? 92¢:14026 


Items with secondary classifications in 14H45 

Abhyankar, Shreeram S. (with Chandrasekar, Srinivasan; Chandru, Vijaya) Intersection of 
algebraic space curves. 92g:14027 

Aluffi, Paolo Some characteristic numbers for nodal and cuspidal plane curves of any 
degree. 92m:14070 

Ando, Tetsuya Some remarks on Hilbert schemes of (—3, 1)-curves in algebraic 3-folds. 
92g:14038 

— On the normal bundle of P! in a higher-dimensional projective variety. 92m:14040 

Atiyah, Michael Francis Magnetic monopoles and the Yang-Baxter equations. 92g:82029 

Chandrasekar, Srinivasan see Abhyankar, Shreeram S.; et al., 92g:14027 

Chandru, Vijaya see Abhyankar, Shreeram S.; et al., 92g:14027 

Coppens, Mare (with Martens, Gerriet) Secant spaces and Clifford’s theorem. 92¢:14021 

— Free linear systems on integral Gorenstein curves. 92m:14009 

Daigle, D. Local trees in the theory of affine plane curves. 92h:14023 

Del Centina, Andrea (with Gimigliano, Alessandro) Bi-elliptic hyperplane sections of 
projective surfaces. 92a:14032 

Ellia, Philippe Sur le genre maximal des courbes gauches de degré d non sur une surface de 
degré s — 1. [On the maximal genus of space curves of degree d not contained in a surface 
of degree s— 1] 92a:14029 

Geramita, Anthony V. (with Migliore, Juan Carlos) A generalized liaison addition. 
92a:14056 

Gimigliano, Alessandro see Del Centina, Andrea, 92a:14032 

Kaji, Hajime On the Gauss maps of space curves in characteristic p. II. 92i:14030 

Kleiman, Steven L. Multiple tangents of smooth plane curves (after Kaji). 92¢:14048 

Martens, Gerriet see Coppens, Marc, 92e:14021 

Migliore, Juan Carlos see Geramita, Anthony V., 92a:14056 

Niki, Naoto see Takahashi, Tadashi, 92g:14055 

Takahashi, Tadashi (with Niki, Naoto) * Use of algebra system for existence problem of 
solutions. 92g:14055 


14H50 Space curves 


Abhyankar, Shreeram S. (with Chandrasekar, Srinivasan; Chandru, Vijaya) Intersection of 
algebraic space curves. 92g:14027 

Bolondi, Giorgio (with Kleppe, Jan O.; Mir6-Roig, Rosa Maria) Maximal rank curves and 
singular points of the Hilbert scheme. 92i:14032 

Chandrasekar, Srinivasan see Abhyankar, Shreeram S.; et al., 92g:14027 

Chandru, Vijaya see Abhyankar, Shreeram S.,; et al., 92g:14027 

Chiantini, Luca Obstructions of ’t Hooft curves. 92¢e:14025 

Davis, Edward D. Curves which are close to complete intersections. 92a:14028 

Ellia, Philippe (with Hirschowitz, André) Une remarque sur la lissification des courbes 
gauches. (English summary) [A remark about the smoothability of space curves] 
92d:14022 

— Sur le genre maximal des courbes gauches de degré d non sur une surface de degré s — 1. 
[On the maximal genus of space curves of degree d not contained in a surface of degree 
s—1] 92a:14029 

Fiorentini, Mario (with Le Tuan Hoa) On monomial k-Buchsbaum curves in P’. 
92m:14038 

Fleystad, Gunnar Construction of space curves with good properties. 92h:14021 

— On space curves with good cohomological properties. 92i:14033 

Geramita, Anthony V. (with Roggero, Margherita; Valabrega, Paolo) Subcanonical curves 
with the same postulation as Q skew complete intersections in projective 3-space. (Italian 
summary) 92e:14026 

Giuffrida, Salvatore (with Maggioni, Renato) On the resolution of a curve lying on a smooth 
cubic surface in P?. 92g:14028 

Hirschowitz, André see Ellia, Philippe, 92d:14022 

Kleppe, Jan O. see Bolondi, Giorgio; et al., 92i:14032 

Laytimi, Fatima Courbe des trisécantes 4 une courbe elliptique lisse de P3. [The curve of 
trisecants to a smooth elliptic curve in P3] 92h:14022 

Lé Tuan Hoa see Fiorentini, Mario, 92m:14038 

Maggioni, Renato see Giuffrida, Salvatore, 92g:14028 

Miré-Roig, Rosa Maria see Bolondi, Giorgio; et al., 92i:14032 

Mohan Kumar, N. Smooth degeneration of complete intersection curves in positive 
characteristic. 92m:14039 

Roggero, Margherita see Geramita, Anthony V.; et al., 92e:14026 

Thoma, Apostolos On set-theoretic complete intersections in Fi. 92d:14023 

Valabrega, Paolo see Geramita, Anthony V.; et al., 92e:14026 


Items with secondary classifications in 14H50 

Boda, Eduard (with Soléan, Stefan) A note on imperfect monomial curves in P?. (Russian 
summary) 92j:14062 

Boratytiski, M. On the curves of contact on surfaces in a projective space. 92m:14033 

Bryuno, A. D. (with Soleev, A.) Local uniformization of the branches of a space curve, and 
Newton polyhedra. (Russian) 92h:14036 

Caire, Luisella Plane curves of genus p and degree 2p as projections of space curves of the 
same degree. 92d:14021 

Casnati, Gianfranco On the directrices of the conormal bundle of a curve on a quadric 
surface. 92m:14047 

Castellanos, Julio The dual graph for space curves. 92g:14024 

Cutkosky, Steven Dale Symbolic algebras of monomial primes. 92b:13009 

Geramita, Anthony V. Lectures on the nonsingular cubic surface in P?. II. The degree and 
genus of curves on this surface. 92¢:14035 

Goto, Shiro (with Nishida, Koji; Shimoda, Yasuhiro) The Gorensteinness of symbolic Rees 
algebras for space curves. 92h:13019 

— see also Morimoto, Mayumi, 92m:13002 





245 1992 


Keem, Changho A remark on the Hilbert scheme of smooth complex space curves. 
92:14020 

Morimoto, Mayumi (with Goto, Shiro) Non-Cohen-Macaulay symbolic blow-ups for space 
monomial curves. 92m:13002 

Nishida, Koji see Goto, Shiro; et al., 92h:13019 

Shastri, Anant R. Polynomial representations of knots. 92k:57016 

Shimoda, Yasuhiro see Goto, Shiro; et al., 92h:13019 

Soléan, Stefan see Boda, Eduard, 92):14062 

Soleev, A. see Bryuno, A. D., 92h:14036 


14H52 Elliptic curves [see also 11G05, 11G07, 14Kxx] 


(Oesterlé, Joseph) see Treibich, A., 92f:14026 

Treibich, A. (with Verdier, J.-L.) Solitons elliptiques. [Elliptic solitons] 92:14026 

Verdier, J.-L. see Treibich, A., 92f:14026 

Vidav, Ivan * Eliptiéne krivulje in eliptiéne funkcije. (Slovenian) [Elliptic curves and 
elliptic functions] 92g:14029 


Items with secondary classifications in 14H52 

Artin, Michael (with Tate, John; Van den Bergh, Michel) Some algebras associated to 
automorphisms of elliptic curves. 92e:14002 

Bashmakov, M.I. Rational points on elliptic curves. (Russian) 92j:11050 

Cassels, J. W.S. * Lectures on elliptic curves. 92k:11058 

Eisenbud, David (with Elkies, N. D.; Harris, Joseph Daniel; Speiser, Robert) On the 
Hurwitz scheme and its monodromy. 92c:14019 

Elkies, N. D. see Eisenbud, David; et al., 92c:14019 

Harris, Joseph Daniel see Eisenbud, David; et al., 92c:14019 

Kramer, Jiirg A geometrical approach to the theory of Jacobi forms. 92h:11037 

Laytimi, Fatima Courbe des trisécantes 4 une courbe elliptique lisse de P;. [The curve of 
trisecants to a smooth elliptic curve in P3] 92h:14022 

Mallavibarrena, Raquel (with Piene, Ragni) Duality for elliptic normal surface scrolls. 
92m:14071 

Mendelsohn, N.S. (with Padmanabhan, R.; Wolk, Barry) Block configurations on real 
cubic curves. 92j:05019 

Mestre, Jean-Francois Familles de courbes hyperelliptiques 4 multiplications réelles. 
[Families of hyperelliptic curves with real multiplication] 92e:14022 

— Courbes elliptiques de rang > 11 sur Q(t). (English summary) [Elliptic curves with rank 
> 11 over Q(t)] 92j:11052 

— Courbes elliptiques de rang > 12 sur Q(t). (English summary) [Elliptic curves with rank 
> 12 over Q(t)] 92m:11052 

Padmanabhan, R. see Mendelsohn, N. S.; et al., 92j:05019 

Piene, Ragni see Mallavibarrena, Raquel, 92m:14071 

Schappacher, Norbert Développement de la loi de groupe sur une cubique. [Development of 
the law of composition on a cubic curve] 92c:14001 

Speiser, Robert see Eisenbud, David; et al., 92c:14019 

Stephens, Nelson Computation of rational points on elliptic curves using Heegner points. 
92m:11054 

Tate, John see Artin, Michael; et al., 92e:14002 

Van den Bergh, Michel see Artin, Michael; et al., 92e:14002 

Wolk, Barry see Mendelsohn, N. S.; et al., 92j:05019 

Zelinsky, David S. Some abelian threefolds with nontrivial Griffiths group. 92h:14005 


14H55 Riemann surfaces; Weierstrass points; gap sequences 
[see also 30Fxx] 


Cukierman, Fernando (with Fong, Lung-Ying) On higher Weierstrass points. 92c:14027 

Farkas, Hershel M. (with Kra, Irwin) Branched two-sheeted covers. 92j:14041 

Fong, Lung-Ying see Cukierman, Fernando, 92c:14027 

Kimura, Hideyuki On automorphism groups of compact Riemann surfaces with prescribed 
group structure. 92e:14027 

Komeda, Jiryo On primitive Schubert indices of genus g and weight g — 1. 92g:14630 

Kra, Irwin see Farkas, Hershel M., 92j:14041 

Laksov, Dan (with Thorup, Anders) The Brill-Segre formula for families of curves. 
92k:14029 

Oliveira, Gilvan Weierstrass semigroups and the canonical ideal of nontrigonal curves. 
92c:14028 

Previato, Emma Another algebraic proof of Weil’s reciprocity. (Italian summary) 92j:14042 

Silverman, Joseph H. (with Voloch, J. F.) Multiple Weierstrass points. 92f:14027 

Thorup, Anders see Laksov, Dan, 92k:14029 

Voloch, J. F. see Silverman, Joseph H., 92f:14027 


Items with secondary classifications in 14H55 

Cutillas Ripoll, Pascual On the discrete valuations of certain function fields over compact 
Riemann surfaces. 92g:14020 

Hefez, Abramo (with Voloch, J. F.) Correction to: “Frobenius nonclassical curves” [Arch. 
Math. (Basel) 54 (1990), no. 3, 263-273; MR 91¢:14018]. 92i:14021 

Jorgenson, Jay Analytic torsion for line bundles on Riemann surfaces. 92g:58132 

Kimura, Hideyuki On F-data of automorphism groups of compact Riemann surfaces. The 
case of As. 92j:30007 

— see also Kuribayashi, Akikazu, 92¢:30024 

Kuribayashi, Akikazu (with Kimura, Hideyuki) Automorphism groups, isomorphic to 
GL(3, F2), of compact Riemann surfaces. 92¢:30024 

— see also Kuribayashi, Izumi, 92a:30041 

Kuribayashi, Izumi (with Kuribayashi, Akikazu) Automorphism groups of compact 
Riemann surfaces of genera three and four. 92a:30041 

Natanzon, S. M. Klein surfaces. (Russian) 92i:14029 

Silverman, Joseph H. Some arithmetic properties of Weierstrass points: hyperelliptic curves. 
92k:11066 

Sobezyk, Jaa (with Urbanik, W.) A canonical form of an algebraic equation for genus 3 
Riemann surfaces. 92h:14017 


14H Curves 


Urbanik, W. see Sobczyk, Jan, 92h:14017 
Voloch, J. F. see Hefez, Abramo, 92i:14021 


14H60 Vector bundles on curves [see also 14F05] 


Ando, Tetsuya On the normal bundle of P' in a higher-dimensional projective variety. 
92m:14040 

Beauville, Arnaud Fibrés de rang deux sur une courbe, fibré déterminant et fonctions théta. 
II. (English summary) [Rank-two vector bundles over a curve, determinant bundle and 
theta functions. II] 92m:14041 

Ein, Lawrence Normal sh of linear sy on curves. 92d:14024 

Tan, Xiao Jiang Vanishing theorem and Clifford theorem for simple vector bundles. 
92i:14034 

Teixidor i Bigas, Montserrat Brill-Noether theory for stable vector bundles. 92e:14029 

— Brill-Noether theory for vector bundles of rank 2. 92e:14028 





Items with secondary classifications in 14H60 

Balaji, V. (with Seshadri, C. S.) Cohomology of a moduli space of vector bundles. 
92¢:14012 

Bauer, Stefan Parabolic bundles, elliptic surfaces and SU(2)-representation spaces of genus 
zero Fuchsian groups. 92h:14007 

Boden, Hans U. Representations of orbifold groups and parabolic bundles. 92j:14015 

Bott, Raoul H. Stable bundles revisited. 92m:14016b 

— On E. Verlinde’s formula in the context of stable bundles. 92m:14016a 

Eisenbud, David (with Harris, Joseph Daniel) An intersection bound for rank | loci, with 
applications to Castelnuovo and Clifford theory. 92k:14050 

Falqui, Gregorio (with Reina, Cesare) Conformal field theory and moduli spaces of vector 
bundles over variable Riemann surfaces. 92m:14034 

Geramita, Anthony V. (with Roggero, Margherita; Valabrega, Paolo) Subcanonical curves 
with the same postulation as Q skew complete intersections in projective 3-space. (Italian 
summary) 92¢:14026 

Harris, Joseph Daniel see Eisenbud, David, 92k:14050 

Hitchin, Nigel J. Gauge theory on Riemann surfaces. 92a:32024 

Killingback, T. P. Chern-Simons theory for compact nonsemisimple Lie groups. 92f:81065 

— Two-dimensional topological gravity and intersection theory on the moduli space of 
holomorphic bundles. 92:32032 

Laszlo, Yves La dimension de l’espace des sections du diviseur théta généralisé. (English 
summary) [Dimension of the space of sections of the generalized theta divisor] 
92i:14009 

— Un théoréme de Riemann pour les diviseurs théta sur les espaces de modules de fibrés 
stables sur une courbe. [A Riemann theorem for theta divisors on moduli spaces of stable 
bundles on acurve] 92m:14019 

Laumon, G. Fibrés vectoriels spéciaux. (English summary) [Special vector bundles] 
92h:14008 

Lazarsfeld, Robert A sampling of vector bundle techniques in the study of linear series. 
92:14006 

Li, Yingchen Spectral curves, theta divisors and Picard bundles. 92j:14016 

Mulase, Motohico Category of vector bundles on algebraic curves and infinite-dimensional 
Grassmannians. 924:58083 

Nitsure, Nitin Moduli space of semistable pairs on a curve. 92a:14010 

Reina, Cesare see Falqui, Gregorio, 92m:14034 

Roggero, Margherita see Geramita, Anthony V.; et al., 92e:14026 

Seshadri, C.S. see Balaji, V., 92c:14012 

Szenes, Andras Verification of Verlinde’s formulas for SU(2). 92m:14021 

Teixidor i Bigas, Montserrat Moduli spaces of (semi)stable vector bundles on tree-like 
curves. 92¢:14014 

Valabrega, Paolo see Geramita, Anthony V.; et al., 92e:14026 

Weitsman, Jonathan Quantization via real polarization of the moduli space of flat 
connections and Chern-Simons gauge theory in genus one. 92f:58071 

Witten, Edward Quantization of Chern-Simons gauge theory with complex gauge group. 
92£:58072 


14H99 None of the above, but in this section 


Eisenbud, David (with Harris, Joseph Daniel) Finite projective schemes in linearly general 
position. 92i:14035 
Harris, Joseph Daniel see Eisenbud, David, 92i:14035 


Items with secondary classifications in 14H99 

Assadi, Amir H. On representations of finite transformation groups of algebraic curves and 
surfaces. 92e:57050 

Brodmann, M. Sectional genus and cohomology of projective varieties. 92k:14017 

Burchard, Paul Differential operators on cones. 92h:32013 

Coppens, Marc The gonality of general smooth curves with a prescribed plane nodal model. 
92m:14008 

Duflot, Jeanne (with Miranda, Rick) The Gaussian map for rational ruled surfaces. 
92f:14030 

Fujimoto, Masafumi Eight-vertex model: anisotropic interfacial tension and equilibrium 
crystal shape. 92m:82047 

McKean, Henry Curvatura integra, handle-number, and genus of transcendental curves. 
92h:53020 

Miranda, Rick see Duflot, Jeanne, 92f:14030 

Perkins, Patrick Isomorphisms of rings of differential operators on curves. 92g:16037 

Sobczyk, Jan A remark on conformal field theories on algebraic curves. 92f:81188 

Spies, Jakob * Uber den Kritever-Funktor in der Theorie der algebraischen Kurven. 
(German) [On the Krichever functor in the theory of algebraic curves] 92¢:14024 

Wood, D. W. Classical algebraic geometry in statistical mechanics. 92f:82017 





14Jxx 


14Jxx Surfaces and higher-dimensional varieties {For 
analytic theory, see 32Jxx.} 


14J05 Picard group [see also 14C22, 19A49, 32L05] 


Gimigliano, Alessandro Divisors on Bordiga & White surfaces. 92j:14043 

de Jong, A. J. (with Steenbrink, J. H.M.) Picard numbers of surfaces in 3-dimensional 
weighted projective spaces. 92c:14029 

Kleinschmidt, Peter (with Sturmfels, Bernd) Smooth toric varieties with small Picard 
number are projective. 92a:14030 

Kouvidakis, Alexis The Picard group of the universal Picard varieties over the moduli space 
of curves. 92m:14042 

Roczen, Marko The Picard group of the canonical resolution of a 3-dimensional simple 
singularity. 92d:14025 

Steenbrink, J. H. M. see de Jong, A. J., 92c:14029 

Sturmfels, Bernd see Kleinschmidt, Peter, 92a:14030 

Voisin, Claire Contrexemple a une conjecture de J. Harris. (English summary) [A counterex- 
ample to a conjecture of J. Harris] 92k:14030 


Items with secondary classifications in 14J05 

Arapura, Donu Higgs line bundles, Green-Lazarsfeld sets, and maps of Kahler manifolds to 
curves. 92m:14010 

Ciliberto, Ciro (with Lopez, Angelo Felice) On the existence of components of the Noether- 
Lefschetz locus with given codimension. 92i:14025 

Cox, David A. The Noether-Lefschetz locus of regular elliptic surfaces with section and 
Pg > 2. 92g:14035 

Lopez, Angelo Felice see Ciliberto, Ciro, 92i:14025 

Wisniewski, Jarosiaw A. On Fano manifolds of large index. 92d:14033 


14J10 Families, moduli, classification: algebraic theory 


Andreatta, Marco (with Sommese, Andrew John) Classification of irreducible projective 
surfaces of smooth sectional genus < 3. 924:14026 

— (with Ballico, Edoardo) Classification of projective surfaces with small sectional genus: 
charp > 0. 92¢:14030 

Ashikaga, Tadashi A remark on the geography of surfaces with birational canonical 
morphisms. 92g:14031 

Ballico, Edeardo see Andreatta, Marco, 92c:14030 

Chang, Mei-Chu Some obstructed manifolds with very ample canonical bundle. 92k:14031 

Crauder, Bruce Degenerations of minimal ruled surfaces. 92d:14027 

Lanteri, Antonio A note on k-dimensional double solids. (Italian summary) 92c:14031 

Manetti, Marco Normal degenerations of the complex projective plane. 92f:14028 

Mori, Shigefumi Birational classification of algebraic threefolds. 92m:14043 

Sommese, Andrew John see Andreatta, Marco, 92d:14026 

Viehweg, Eckart Quasi-projective quotients by compact equivalence relations. 92d:14028 

Yoshihara, Hisao Double coverings of P?. 92c:14032 


Items with secondary classifications in 14J10 

Ashikaga, Tadashi (with Konno, Kazuhiro) Examples of degenerations of Castelnuovo 
surfaces. 92g:14032 

(Barth, Wolf Paul) see Hudson, R. W. H. T., 92e:14033 

Beltrametti, Mauro C. (with Fania, Maria Lucia; Sommese, Andrew John) On the 
adjunction-theoretic classification of projective varieties. 92f:14038 

Biancofiore, Aldo (with Lanteri, Antonio; Livorni, Elvira Laura) Ample and spanned vector 
bundles of sectional genera three. 92k:14039 

Borcea, Ciprian Homogeneous vector bundles and families of Calabi-Yau threefolds. II. 
92k:14035 

Cox, David A. The Noether-Lefschetz locus of regular elliptic surfaces with section and 
Pg > 2. 92g:14035 

Del Centina, Andrea (with Gimigliano, Alessandro) Projective surfaces with bi-elliptic 
hyperplane sections. 92j:14045 

Fania, Maria Lucia see Beltrametti, Mauro C.; et al., 92f:14038 

Fujita, Takao On del Pezzo fibrations over curves. 92e:14036 

Gimigliano, Alessandro see Del Centina, Andrea, 92j:14045 

Hanamura, Masaki The birational automorphism groups and the Albanese maps of 
varieties with Kodaira dimension zero. 92i:14011 

Horikawa, Eiji Notes on canonical surfaces. 92e:14034 

Hudson, R. W.H.T. * Kummer’s quartic surface. 92e:14033 

Kobayashi, Masanori On Noether’s inequality for threefolds. 92m:14052 

Kollér, Janos Projectivity of complete moduli. 92¢:14008 

— Extremal rays on smooth threefolds. 92f:14034 

Konno, Kazuhiro see Ashikaga, Tadashi, 92g:14032 

Lanteri, Antonio see Biancofiore, Aldo; et al., 92k:14039 

Livorni, Elvira Laura see Biancofiore, Aldo; et al., 92k:14039 

Miyanishi, Masayoshi (with Sugie, Tohru) Homology planes with quotient singularities. 
92g:14034 

— (with Sugie, Tohru) Q-homology planes with C**-fibrations. 92d:14029 

Miyaoka, Yoichi see Namikawa, Yukihiko, 92h:14001 

Namikawa, Yukihiko (with Miyaoka, Yoichi) Analysis of manifolds. The work of Yoichi 
Miyaoka. (Japanese) 92h:14001 

Sato, Ei-ichi 3-folds with two P'-bundle structures. 92c:14037 

Serrano, Fernando Elliptic surfaces with an ample divisor of genus two. 92m:14048 

Shepherd-Barron, N. I. Unstable vector bundles and linear systems on surfaces in character- 
istic p. 92h:14027 

— Gcography for surfaces of general type in positive characteristic. 92k:14033 

Sommese, Andrew John see Beltrametti, Mauro C.; et al., 92f:14038 

Sugie, Tohru see Miyanishi, Masayoshi, 92d:14029 and 92g:14034 

Tsunoda, Shuichiro (with Zhang, De-Qi) Noether’s inequality for noncomplete algebraic 
surfaces of general type. 92k:14034 


ALGEBRAIC GEOMETRY 


1992 246 


Voisin, Claire Contrexemple a une conjecture de J. Harris. (English summary) [A counterex- 
ample to a conjecture of J. Harris] 92k:14030 
Zhang, De-Qi see Tsunoda, Shuichiro, 92k:14034 


14315 Moduli, classification: analytic theory [see also 32G13, 
32315] 


Ashikaga, Tadashi (with Konno, Kazuhiro) Examples of degenerations of Castelnuovo 
surfaces. 92g:14032 

Friedman, Robert David On threefolds with trivial canonical bundle. 92m:14044 

Konno, Kazuhiro see Ashikaga, Tadashi, 92g:14032 

Sterk, Hans Compactifications of the period space of Enriques surfaces. I. 92e:14030 


Items with secondary classifications in 14J15 

Cadavid, Ana Cristina (with Ferrara, Sergio) Picard-Fuchs equations and the moduli space 
of superconformal field theories. 92i:32022 

Campana, Frédéric Une version géométrique généralisée du théoréme de produit de Nadel. 
(English summary) [A generalized geometric version of the product theorem of Nadel] 
92b:14020 

Candelas, Philip (with Green, Paul S.; Hiibsch, Tristan) Connected Calabi-Yau compactifi- 
cations (other worlds are just around the corner). 92¢:81126 

Catanese, Fabrizio Moduli and classification of irregular Kaehler manifolds (and algebraic 
varieties) with Albanese general type fibrations. 92f:32049 

Ebeling, Wolfgang (with Okonek, Christian) Donaldson invariants, monodromy groups, 
and singularities. 92f:32047 

Ferrara, Sergio see Cadavid, Ana Cristina, 92i:32022 

Fujiki, Akira The moduli spaces and Kahler metrics of polarized algebraic varieties. 
(Japanese) 92b:32032 

Green, Paul S. see Candelas, Philip; et al., 92c:81126 

Hiibsch, Tristan see Candelas, Philip; et al., 92c:81126 

Kotschick, D. SO(3)-invariants for 4-manifolds with by = 1. 92m:57040 

Okonek, Christian see Ebeling, Wolfgang, 92f:32047 

Viehweg, Eckart Quasi-projective quotients by compact equivalence relations. 92d:14028 

Yiian, Hsi Shih The mirror of Calabi-Yau orbifold. 92f:14037 


14J17 Singularities of surfaces 


Daigle, D. Local trees in the theory of affine plane curves. 92h:14023 
Hashimoto, Naoki Numerical algebraic surfaces. 92e:14031 

Mehta, V. B. (with Srinivas, V.) Normal F-pure surface singularities. 92j:14044 
Srinivas, V. see Mehta, V. B., 92j:14044 


Items with secondary classifications in 14J17 

Behnke, Kurt (with Kahn, Constantin; Riemenschneider, Oswald) Infinitesimal deforma- 
tions of quotient surface singularities. 92a:14003 

— (with Christophersen, Jan Arthur) Hypersurface sections and obstructions (rational 
surface singularities). 92c:14002 

Chiarli, Nadia A sharp Castelnuovo bound for the normalization of certain projective 
surfaces. 92a:14031 

Chmutov, S. V. Examples of projective surfaces with many singularities. 92k:14016 

Christophersen, Jan Arthur see Behnke, Kurt, 92c:14002 

Collino, A. A regulator map for surfaces with an isolated singularity. 92e:14006 

Furushima, Mikio Complex analytic compactifications of C>. 92a:32036 

Kahn, Constantin see Behnke, Kurt; et al., 92a:14003 

Manetti, Marco Normal degenerations of the complex projective plane. 92f:14028 

Miranda, Rick Persson’s list of singular fibers for a rational elliptic surface. 92a:14035 

Riemenschneider, Oswald see Behnke, Kurt; et al., 92a:14003 

Shioda, Tetsuji Mordell-Weil lattices of type Eg and deformation of singularities. 
92k:32068 

Takeda, Yoshifumi Fibrations with moving cuspidal singularities. 92f:14029 

Wall, C. T. C. Elliptic complete intersection singularities. 92m:32059 

Yang, Jin Gen Erratum to: “Characterizations of normal quintic K-3 surfaces” [Trans. 
Amer. Math. Soc. 313 (1989), no. 2, 737-751; MR 90j:14045]. 92f:14033 

Yoshihara, Hisao Double coverings of P?. 92¢:14032 


14J20 Arithmetic ground fields [see also 11Dxx, 11G25, 11G35, 
14Gxx] 


Items with secondary classifications in 14J20 
Silverman, Joseph H. Rational points on K3 surfaces: a new canonical height. 92k:14025 


14J25 Special surfaces {For Hilbert modular surfaces, see 
14G35.} 


Andreatta, Marco (with Ballico, Edoardo) On the adjunction process over a surface in 
char. p. II. The singular case. 92i:14036 

Ballico, Edoardo see Andreatta, Marco, 92i:14036 

Braun, Robert On a geometric property of the normal bundle of surfaces in P4. 92¢:14033 

Chiarli, Nadia A sharp Castelnuovo bound for the normalization of certain projective 
surfaces. 92a:14031 

Del Centina, Andrea (with Gimigliano, Alessandro) Bi-elliptic hyperplane sections of 
projective surfaces. 92a:14032 

— (with Gimigliano, Alessandro) Projective surfaces with bi-elliptic hyperplane sections. 
92j:14045 

Gimigliano, Alessandro see Del Centina, Andrea, 92a:14032 and 92j:14045 

Gross, Mark The distribution of bidegrees of smooth surfaces in Gr(1,P?). 92j:14046 

Halanay, Elena Normal surfaces of degree 7 in P”. 92g:14033 

Mezzetti, E. (with Ranestad, K.) The nonexistence of a smooth sectionally nonspecial 
surface of degree 11 and sectional genus 8 in the projective fourspace. 92a:14033 





247 1992 


Miyanishi, Masayoshi (with Sugie, Tohru) Q-homology planes with C**-fibrations. 
924:14029 

Ranestad, K. see Mezzetti, E., 92a:14033 

Sugie, Tohru see Miyanishi, Masayoshi, 92d:14029 

Takeda, Yoshifumi Fibrations with moving cuspidal singularities. 92f:14029 

Tendian, Sonny Surfaces of degree d with sectional genus g in P¢+'~* and deformations of 
cones. 92m:14045 

Tokunaga, Hiro-o Triple coverings of algebraic surfaces according to the Cardano formula. 
92j:14047 

Zaidenberg, M. G. Additions and corrections to the paper: “Isotrivial families of curves on 
affine surfaces, and the characterization of the affine plane” [Izv. Akad. Nauk SSSR Ser. 
Mat. 51 (1987), no. 3, 534-567; MR 88k:14021]. (Russian) 92m:14046 


Items with secondary classifications in 14J25 

Andreatta, Marco (with Sommese, Andrew John) Classification of irreducible projective 
surfaces of smooth sectional genus < 3. 92d:14026 

— (with Ballico, Edoardo) Classification of projective surfaces with small sectional genus: 
char p > 0. 92¢:14030 

Ashikaga, Tadashi A remark on the geography of surfaces with birational canonical 
morphisms. 92g:14031 

Aure, Alf Bjorn The smooth surfaces on cubic hypersurface in P* with isolated singularities. 
92a:14046 

Ballico, Edoardo (with Chiantini, Luca; Monti, V.) On the adjunction mapping for surfaces 
of Kodaira dimension < 0 in char p. 92j:14006 

— see also Andreatta, Marco, 92c:14030 

Berry, T. G. Points at rational distance from the corners of a unit square. 92e:11021 

Chiantini, Luca see Ballico, Edoardo; et al., 92j:14006 

Fahlaoui, Rachid (with Laszlo, Yves) Transformée de Fourier et stabilité sur les surfaces 
abéliennes. [Fourier transform and stability on abelian surfaces] 92i:14017 

Fania, Maria Lucia (with Livorni, Elvira Laura) Polarized surfaces of A-genus 3. 92c:14008 

Gimigliano, Alessandro Divisors on Bordiga & White surfaces. 92j:14043 

Laszlo, Yves see Fahlaoui, Rachid, 92i:14017 

Livorni, Elvira Laura see Fania, Maria Lucia, 92c:14008 

Monti, V. see Ballico, Edoardo; et al., 92j:14006 

Pareschi, Giuseppe Exceptional linear systems on curves on Del Pezzo surfaces. 92f:14008 

Schreyer, Frank-Olaf A standard basis approach to syzygies of canonical curves. 92j:14040 

Sommese, Andrew John see Andreatta, Marco, 92d:14026 

Tokunaga, Hiro-o Construction of triple coverings of a certain type of algebraic surfaces. 
92a:14037 

Zaidenberg, M.G. Ramanujam surfaces and exotic algebraic structures on C”, n > 3. 
(Russian) 92a:32021 





14326 Rational and ruled surfaces 


Casnati, Gianfranco On the directrices of the conormal bundle of a curve on a quadric 
surface. 92m:14047 

tom Dieck, Tammo (with Petrie, Ted) Arrangements of lines with tree resolutions. 
92¢:14034 

Duflot, Jeanne (with Miranda, Rick) The Gaussian map for rational ruled surfaces. 
92:14030 

Geramita, Anthony V. Lectures on the nonsingular cubic surface in P>. II. The degree and 
genus of curves on this surface. 92¢:14035 

— (with Gimigliano, Alessandro) Generators for the defining ideal of certain rational 
surfaces. 92f:14031 

Gimigliano, Alessandro On Veronesean surfaces. 92a:14034 

— see also Geramita, Anthony V., 92f:14031 

Miranda, Rick see Duflot, Jeanne, 92f:14030 

Miyanishi, Masayoshi (with Sugie, Tohru) Homology planes with quotient singularities. 
92g:14034 

Petrie, Ted see tom Dieck, Tammo, 92c:14034 

Sugie, Tohru see Miyanishi, Masayoshi, 92g:14034 


Items with secondary classifications in 14J26 

Aure, Alf Bjorn The smooth surfaces on cubic hypersurface in P* with isolated singularities. 
92a:14046 

Biancofiore, Aldo (with Ceresa,G.) Remarks on k-spannedness for algebraic surfaces. 
92c:14006 

Ceresa, G. see Biancofiore, Aldo, 92c:14006 

Ciliberto, Ciro (with Hirschowitz, André) Hypercubiques de P* avec sept points singuliers 
génériques. (English summary) [Hypercubics in P* with seven generic singular points] 
92g:14043 

Colliot-Thélene, Jean-Louis Surfaces rationnelles fibrées en coniques de degré 4. [Rational 
surfaces fibered by conics of degree 4] 92j:14027 

Crauder, Bruce Degenerations of minimal ruled surfaces. 92d:14027 

Drezet, Jean-Marc Points non factoriels des variétés de modules de faisceaux semi-stables 
sur une surface rationnelle. [Nonfactorial points of moduli varieties of semistable sheaves 
on a rational surface] 92d:14009 

Harbourne, Brian Automorphisms of cuspidal K 3-like surfaces. 92c:14039 

Hirschowitz, André see Ciliberto, Ciro, 92g:14043 

Mallavibarrena, Raquel (with Piene, Ragni) Duality for elliptic normal surface scrolls. 
92m:14071 

Manetti, Marco Normal degenerations of the complex projective plane. 92f:14028 

Oguiso, Keiji (with Shioda, Tetsuji) The Mordell-Weil lattice of a rational elliptic surface. 
92g:14036 

Parimala, R. (with Sujatha, R.) Levels of nonreal function fields of real rational surfaces. 
92j:14071 

Piene, Ragni see Mallavibarrena, Raquel, 92m:14071 

Shioda, Tetsuji see Oguiso, Keiji, 92g:14036 

Sujatha, R. see Parimala, R., 92j:14071 


14J Surfaces and higher-dimensional varieties 


14J29 


Tendian, Sonny Surfaces of degree d with sectional genus g in P¢+'-S and deformations of 
cones. 92m:14045 


14J27 Elliptic surfaces 


Bremner, Andrew Some simple elliptic surfaces of genus zero. 92i:14037 

Cox, David A. The Noether-Lefschetz locus of regular elliptic surfaces with section and 
Pg > 2. 92g:14035 

Lang, William E. Extremal rational elliptic surfaces in characteristic p. I. Beauville surfaces. 
92:14032 

Miranda, Rick * The basic theory of elliptic surfaces. 92e:14032 

— Persson’s list of singular fibers for a rational elliptic surface. 92a:14035 

Oguiso, Keiji An elementary proof of the topological Euler characteristic formula for an 
elliptic surface. 92b:14017 

— (with Shioda, Tetsuji) The Mordell-Weil lattice of a rational elliptic surface. 92g:14036 

Serrano, Fernando Elliptic surfaces with an ample divisor of genus two. 92m:14048 

Shioda, Tetsuji see Oguiso, Keiji, 92g:14036 

Wall, C.T.C. Pencils of cubic curves and rational elliptic surfaces. 92j:14048 

Xiao, Gang 7; of elliptic and hyperelliptic surfaces. 92j:14049 


Items with secondary classifications in 14J27 

Biancofiore, Aldo (with Ceresa,G.) Remarks on k-spannedness for algebraic surfaces. 
92¢:14006 

Bremner, Andrew On the equation y” = x? + k over function fields. 92j:11051 

Ceresa, G. see Biancofiore, Aldo, 92c:14006 

Fujimoto, Yoshio Finiteness of numbers of curves on a minimal surface with x = 1. 
92j:32107 

Gompf, Robert E. Nuclei of elliptic surfaces. 92f:57042 

Herfurtner, Stephan Elliptic surfaces with four singular fibres. 92k:32047 

Lee, Min Ho Picard-Fuchs equations for elliptic modular varieties. 92m:14013 

Mong, Kai-Cheong On the reducibility of moduli spaces of stable 2-bundles over an elliptic 
surface. 92k:14010 

Shioda, Tetsuji An infinite family of elliptic curves over Q with large rank via Néron’s 
method. 92h:11048 

Zabe, S. K. Logarithmic transformation of an elliptic surface and vector bundles. (Russian) 
92j:14054 


14J28 K3 surfaces and Enriques surfaces 


Alekseevskii, D. V. (with Graev, M. M.) Calabi-Yau metric on the Fermat surface. 
Isometries and totally geodesic submanifolds. 92¢:14036 

Alexeev, Valery Ample Weil divisors on K3 surfaces with Du Val singularities. 92k:14032 

(Barth, Wolf Paul) see Hudson, R. W. H. T., 92e:14033 

Graev, M. M. see Alekseevskii, D. V., 92c:14036 

Hudson, R. W. H.T. * Kummer’s quartic surface. 92¢e:14033 

Kondé, Shigeyuki Quadratic forms and K3 surfaces. Enriques surfaces. (Japanese) 
92b:14018 

Nikulin, Vyacheslav Valentinovich On rational maps between K3 surfaces. 92m:14049 

Yang, Jin Gen Erratum to: “Characterizations of normal quintic K-3 surfaces” [Trans. 
Amer. Math. Soc. 313 (1989), no. 2, 737-751; MR 90j:14045]. 92:14033 


Items with secondary classifications in 14J28 

Berry, T. G. Points at rational distance from the corners of a unit square. 92e:11021 

Friedman, Robert David On threefolds with trivial canonical bundle. 92m:14044 

Lazarsfeld, Robert A sampling of vector bundle techniques in the study of linear series. 
92f:14006 

Matsumoto, Keiji (with Sasaki, Takeshi; Yoshida, Masaaki) The Aomoto-Gel’fand 
hypergeometric function and period mappings. (Japanese) 92a:33001 

Miranda, Rick Graph curves and curves on K3 surfaces. 92¢:14025 

Noguchi, Junjiro Moduli spaces of holomorphic mappings into hyperbolic spaces and its 
applications. 92k:32043 

Sasaki, Takeshi see Matsumoto, Keiji; et al., 92a:33001 

Silverman, Joseph H. Rational points on K3 surfaces: a new canonical height. 92k:14025 

Sterk, Hans Compactifications of the period space of Enriques surfaces. I. 92e:14030 

Urabe, Tohsuke Combinations of rational singularities on plane sextic curves with the sum 
of Milnor numbers less than sixteen. 92g:14025 

Yoshida, Masaaki see Matsumoto, Keiji; et al., 92a:33001 


14329 Surfaces of general type 


Chen, Zhi Jie The existence of algebraic surfaces with preassigned Chern numbers. 
922:14036 

Horikawa, Eiji Notes on canonical surfaces. 92¢:14034 

Iliev, Valentin Vankov On the canonical rings of some Horikawa surfaces. II. (French 
summary) 92i:14038 

Konno, Kazuhiro Algebraic surfaces of general type with c? = 3p, — 6. 92i:14039 

Luo, Tie The horizontal base locus of multiples of tautological sheaves of projectivised 
cotangent bundles. 92i:14040 

Papantonopoulou, Aigli Surfaces of general type in P*. 92g:14037 

Pardini, Rita Canonical images of surfaces. 92j:14050 

Shepherd-Barron, N. I. Geography for surfaces of general type in positive characteristic. 
92k:14033 

Sun, Xiao Tao Surfaces of general type with canonical pencil. (Chinese) 92d:14030 

Tokunaga, Hiro-o Construction of triple coverings of a certain type of algebraic surfaces. 
92a:14037 

Tsunoda, Shuichiro (with Zhang, De-Qi) Noether’s inequality for noncomplete algebraic 
surfaces of general type. 92k:14034 

Zhang, De-Qi see Tsunoda, Shuichiro, 92k:14034 





14J29 


Items with secondary classifications in 14J29 

Ashikaga, Tadashi (with Konno, Kazuhiro) Examples of degenerations of Castelnuovo 
surfaces. 92g:14032 

Chang, Mei-Chu Some obstructed manifolds with very ample canonical bundle. 92k:14031 

Corti, Alessio Polynomial bounds for the number of automorphisms of a surface of general 
type. 92d:14035 

Hermann, Carl Friedrich Modulflachen quadratischer Diskriminante. [Modular surfaces of 
quadratic discriminants] 92e:11038 

Huckleberry, Alan T. (with Sauer, M.) On the order of the automorphism group of a surface 
of general type. 92d:14034 

Konno, Kazuhiro see Ashikaga, Tadashi, 92g:14032 

Miyaoka, Yoichi see Namikawa, Yukihiko, 92h:14001 

Namikawa, Yukihike (with Miyaoka, Yoichi) Analysis of manifolds. The work of Yoichi 
Miyaoka. (Japanese) 92h:14001 

Salvetti, Mario A lower bound for the number of differentiable structures on 4-manifolds. 
(Italian summary) 92b:57042 

Sauer, M. see Huckleberry, Alan T., 92d:14034 

Xiao, Gang On abelian automorphism group of a surface of general type. 92¢:14040 


14330 Special 3-folds [see also 14E05] 


Ando, Tetsuya Some remarks on Hilbert schemes of (—3, 1)-curves in algebraic 3-folds. 
92g:14038 

Borcea, Ciprian Homogeneous vector bundles and families of Calabi-Yau threefolds. II. 
92k:14035 

— On desingularized Horrocks-Mumford quintics. 92m:14050 

Buruiana, Nicolae Singular projective threefolds whose hyperplane sections are ruled 
nonrational surfaces. 92b:14019 

Clemens, Herbert The quartic double solid revisited. 92m:14051 

Iskovskikh, V. A. On the rationality problem for conic bundles. (Russian) 92k:14036 

Kobayashi, Masanori On Noether’s inequality for threefolds. 92m:14052 

Kolldr, Janos Extremal rays on smooth threefolds. 92f:14034 

Lanteri, Antonio Verticality of (—1)-lines in scrolls over smooth surfaces. 92f:14035 

Nakayama, Noboru On smooth exceptional curves in threefolds. 92e:14035 

Namikawa, Yoshinori On the birational structure of certain Calabi-Yau threefolds. 
92a:14038 

Oguiso, Keiji On polarized Calabi-Yau 3-folds. 92k:14037 

Peterneil, Thomas Calabi-Yau manifolds and a conjecture of Kobayashi. 92g:14039 

Radionov, D. Yu. Reconstruction of special double P? from the family of lines on it. 
(Russian) 92f:14036 

Ran, Ziv Absence of the Veronese from smooth threefolds in P>. 92j:14051 

Sato, Ei-ichi 3-folds with two P'-bundle structures. 92c:14037 

Yiian, Hsi Shih The mirror of Calabi-Yau orbifold. 92f:14037 


Items with secondary classifications in 14J30 


Ando, Tetsuya Saturation of (—3, 1)-curves in algebraic 3-folds. 92k:14009 

— An example of an exceptional (—2n — 1, m)-curve in an algebraic 3-fold. 92g:14010 

Arnowitt, Richard (with Nath, Pran) Particle physics and Calabi-Yau compactification. (see 
92m:81226) 

— see also Wu, Jizhi; et al., 92d:32037 

Aspinwall, P.S. (with Liitken, C. A.) Quantum algebraic geometry of superstring 
compactifications. 92¢:32021 

— (with Liitken, C. A.) Geometry of mirror manifolds. 92g:32055 

Bardelli, Fabio On Grothendieck’s generalized Hodge conjecture for a family of threefolds 
with trivial canonical bundle. 92i:14005 

Candelas, Philip (with Green, Paul S.; Hiibsch, Tristan) Connected Calabi-Yau compactifi- 
cations (other worlds are just around the corner). 92¢:81126 

— (with de la Ossa, Xenia C.) Moduli space of Calabi-Yau manifolds. 92c:32022 

Casas, J. A. (with Gomez Rodriguez, Faustino; Mufioz, C.) World-sheet instanton 
contribution to Z; Yukawa couplings. 924:32036 

Castellani, Leonardo (with Fré, Pietro; Gliozzi, Ferdinando; Rego Monteiro, M. A.) (2,2) 
vacua of the heterotic superstring compactified on SU(2)3 groupfolds. 92m:81207 

Cvetié, Mirjam (with Molera, Juan M.; Ovrut, Burt A.) Generalized syaceiime duality in 
Calabi-Yau manifolds. 92a:81142 

Fré, Pietro (with Gliozzi, Ferdinando; Rego Monteiro, M. A.; Piras, Annamaria) A moduli- 
dependent Lagrangian for (2, 2) theories on Calabi-Yau n-folds. 92i:81273 

— see also Castellani, Leonardo; et al., 92m:81207 

Friedman, Robert David On threefolds with trivial canonical bundle. 92m:14044 

Fuchs, Jiirgen (with Klemm, Albrecht; Scheich, Christoph; Schmidt, Michael G.) Spectra 
and symmetries of Gepner models compared to Calabi-Yau compactifications. 92g:81146 

Furushima, Mikio Complex analytic compactifications of C3. 92a:32036 

Gliozzi, Ferdinando see Fré, Pietro; et al., 92i:81273 and Castellani, Leonardo; et al., 
92m:81207 

Gémez Rodriguez, Faustino see Casas, J. A.; et al., 92d:32036 

Grassi, Antonella On minimal models of elliptic threefolds. 92f:14013 

Green, Paul S. see Candelas, Philip; et al., 92c:81126 

Greene, Brian R. Calabi-Yau superconformal field theory. 92i:81237 

— (with Yiian, Hsi Shih; Yau, Shing-Tung) Geometric singularities and spectra of Landau- 
Ginzburg models. 92j:32109 

— (with Plesser, M. R.; Rusjan, Edmond; Wang, Xing Min) Gauge symmetry breaking in 
superconformal orbifolds. 92¢:81135 

Hosoh, Toshio Stable sheaves of rank 2 on a 3-dimensional rational scroll. 92a:14042 

Hiibsch, Tristan see Candelas, Philip; et al., 92c:81126 

Ishii, Shihoko Quasi-Gorenstein Fano 3-folds with isolated nonrational loci. 92a:14040 

Klemm, Albrecht see Fuchs, Jiirgen; et al., 92g:81146 

Litken, C. A. see Aspinwall, P. S., 92c:32021 and 92g:32055 

Lynker, Monika (with Schimmrigk, Rolf) Landau-Ginzburg theories as orbifolds. 
92g:14044 

Molera, Juan M. see Cvetié, Mirjam; et al., 92a:81142 

Mori, Shigefumi Birational classification of algebraic threefolds. 92m:14043 


ALGEBRAIC GEOMETRY 


Muiioz, C. see Casas, J. A.; et al., 92d:32036 

Nath, Pran see Wu, Jizhi; et al., 92d:32037 and Arnowitt, Richard, (92m:81226) 

Nikulin, Vyacheslav Valentinovich Three-dimensional algebraic varieties and the diagram 
method. (Russian) 92a:14041 

de la Ossa, Xenia C. see Candelas, Philip, 92¢:32022 

Ovrut, Burt A. see Cvetit, Mirjam; et al., 92a:81142 

Piras, Annamaria see Fré, Pietro; et al., 92i:81273 

Plesser, M. R. see Greene, Brian R.; et al., 92¢:81135 

Rego Monteiro, M. A. see Fré, Pietro; et al., 92i:81273 and Castellani, Leonardo; et al., 
92m:81207 

Roczen, Marko The Picard group of the canonical resolution of a 3-dimensional simple 
singularity. 92d:14025 

Rusjan, Edmond see Greene, Brian R.; et al., 92¢:81135 

Scheich, Christoph see Fuchs, Jiirgen; et al., 92g:81146 

Schimmrigk, Rolf see Lynker, Monika, 92g:14044 

Schmidt, Michael G. see Fuchs, Jiirgen; et al., 92g:81146 

Shenderovskii, V.G. The theta-divisor of the intermediate Jacobian of a double space P? of 
index 2 [translation of Problems in group theory and homological algebra (Russian), 74- 
76, Yaroslav. Gos. Univ., Yaroslavl’, 1987]. 92b:14024 

Voisin, Claire Une approche infinitésimale du théoréme de H. Clemens sur les cycles d’une 
quintique générale de P*. [An infinitesimal approach to the theorem of H. Clemens on the 
cycles of a general quintic in P*] 92k:14008 

Wang, Xing Min see Greene, Brian R.; et al., 92¢:81135 

Wu, Jizhi (with Arnowitt, Richard; Nath, Pran) (27)? Yukawa couplings and embeddings 
of discrete groups in the CP? x CP?/Z3 x Z} model. 92d:32037 

Yau, Shing-Tung see Greene, Brian R.; et al., 92j:32109 

Yiian, Hsi Shih see Greene, Brian R.; et al., 92j:32109 


14J35 Special 4-folds [see also 14E05] 


Nakamura, Iku A subadjunction formula and Moishezon fourfolds homeomorphic to Pé. 
92h:14024 


14340 Special n-folds 


Beltrametti, Mauro C. (with Sommese, Andrew John) New properties of special varieties 
arising from adjunction theory. 924:14031 

— (with Fania, Maria Lucia; Sommese, Andrew John) On the adjunction-theoretic 
classification of projective varieties. 92f:14038 

Fania, Maria Lucia see Beltrametti, Mauro C-.; et al., 92f:14038 

Fischer, Paul Mannigfaltigkeiten mit fast positivem Tangentialbiindel. [Manifolds with 
almost-positive tangent bundle] 92h:14025 

Fujita, Takao On del Pezzo fibrations over curves. 92¢:14036 

Sommese, Andrew John see Beltrametti, Mauro C., 92d:14031 and 92f:14038 


Zhang, Qi Extremal rays on higher-dimensional projective varieties. 92j:14052 


Items with secondary classifications in 14J40 


Ballico, Edoardo On ample and spanned vector bundles with zero A-genera. 92c:14041 

Beltrametti, Mauro C. (with Sommese, Andrew John) On the relative adjunction mapping. 
92j:14007 

Gémez-Mont, Carlos On local Torelli for a class of extremal varieties. 92d:14005 

Hanamura, Masaki The birational automorphism groups and the Albanese maps of 
varieties with Kodaira dimension zero. 92i:14011 

Lé Tuan Hoa (with Stiickrad, Jiirgen; Vogel, Wolfgang) Towards a structure theory for 
projective varieties of degree = codimension + 2. 92f:14002 

Oort, Frans Hyperelliptic supersingular curves. 92¢:14043 

Peternell, Thomas (with Schneider, Michael Hellmut) Compactifications of C”: a survey. 
92j:32105 

Rossi, Michele On the multiples of the adjoint divisor to an ample divisor on a d-fold. 
(Italian summary) 92a:14006 

Schneider, Michael Hellmut see Peternell, Thomas, 92j:32105 

Sommese, Andrew John see Beltrametti, Mauro C., 92j:14007 

Stiickrad, Jiirgen see Lé Tuan Hoa; et al., 92f:14002 

Vogel, Wolfgang see Lé Tuan Hoa; et al., 92f:14002 

Wisniewski, Jarostaw A. On contractions of extremal rays of Fano manifolds. 924:14032 

Zhang, Qi A theorem on the adjoint system for vector bundles. 92c:14009 


14J45 


Ballico, Edoardo On Fano threefolds in characteristic p. 92g:14040 

Campana, Frédéric Une version géométrique généralisée du théoréme de produit de Nadel. 
(English summary) [A generalized geometric version of the product theorem of Nadel] 
92b:14020 

Démin, I. V. The cone of effective divisors on a flag manifold. (Russian) 92a:14039 

Furushima, Mikio Nonnormal hyperplane section of Fano threefolds of first kind with index 
two. 92k:14038 

Ishii, Shihoko Quasi-Gorenstein Fano 3-folds with isolated nonrational loci. 92a:14040 

Nikulin, Vyacheslav Valentinovich Three-dimensional algebraic varieties and the diagram 
method. (Russian) 92a:14041 

Peternell, Thomas Ample vector bundles on Fano manifolds. 92c:14038 

Szurek, Michal (with Wisniewski, Jarostaw A.) Fano bundles of rank 2 on surfaces. 
92e:14037 

— (with Wisniewski, Jarosiaw A.) On Fano manifolds, which are P*-bundles over P?. 
92e:14038 

Wisniewski, Jarostaw A. On contractions of extremal rays of Fano manifolds. 924:14032 

— On Fano manifolds of large index. 92d:14033 

— see also Szurek, Michal, 92e:14037 and 92e:14038 


Fano varieties 


Items with secondary classifications in 14J45 
Clemens, Herbert The quartic double solid revisited. 92m:14051 





249 1992 


Furushima, Mikio Complex analytic compactifications of C?. 92a:32036 

Nadel, Alan Michael The behavior of multiplier ideal sheaves under morphisms. 92k:32049 

Peternell, Thomas (with Schneider, Michael Hellmut) Compactifications of C”: a survey. 
92j:32105 

Radionov, D. Yu. Reconstruction of special double P? from the family of lines on it. 
(Russian) 92f:14036 

Schneider, Michael Hellmut see Peternell, Thomas, 92j:32105 

Sols Lucia, Ignacio (with Szurek, Michal; Wisniewski, Jaroslaw A.) Rank-2 Fano bundles 
over a smooth quadric Q3. 92a:14045 

Szurek, Michal see Sols Lucia, Ignacio; et al., 92a:14045 

Wisniewski, Jarostaw A. see Sols Lucia, Ignacio; et al., 92a:14045 


14350 Automorphisms of surfaces and higher-dimensional 
varieties [see also 14E09] 


Corti, Alessio Polynomial bounds for the number of automorphisms of a surface of general 
type. 92d:14035 

Harbourne, Brian Automorphisms of cuspidal K 3-like surfaces. 92¢:14039 

Huckleberry, Alan T. (with Sauer, M.) On the order of the automorphism group of a surface 
of general type. 92d:14034 

Sauer, M. see Huckleberry, Alan T., 92d:14034 

Xiao, Gang On abelian automorphism group of a surface of general type. 92c:14040 


Items with secondary classifications in 14J50 

Assadi, Amir H. On representations of finite transformation groups of algebraic curves and 
surfaces. 92e:57050 

Jelonek, Zbigniew Sets determining polynomial automorphisms of C2. (Russian summary) 
92e:14009 

Kondé, Shigeyuki Quadratic forms and K3 surfaces. Enriques surfaces. (Japanese) 
92b:14018 

Maillard, Jean-Marie Exactly solvable models in statistical mechanics and automorphisms 
of algebraic varieties. (see 92c:82004) 

Namikawa, Yoshinori On the birational structure of certain Calabi-Yau threefolds. 
92a:14038 

Nikulin, Vyacheslav Valentinovich On rational maps between K3 surfaces. 92m:14049 

Rynes, Jean Nonsingular affine k*-surfaces. 92j:14061 

Wright, David Lee Two-dimensional Cremona groups acting on simplicial complexes. 
92g:14008 


14J60 Vector bundles on surfaces and higher-dimensional 
varieties [see also 14F05, 32Lxx] 


Ancona, Vincenzo (with Ottaviani, Giorgio) Some applications of Beilinson’s theorem to 
projective spaces and quadrics. 92¢:14039 

Ballico, Edoardo (with Lanteri, Antonio) Ample and spanned rank-2 vector bundles with 
C2 = 2 on complex surfaces. 92f:14039 

— On the cohomological strata of families of vector bundles on algebraic surfaces. (Italian 
summary) 92h:14026 

— On ample and spanned vector bundles with zero A-genera. 92¢:14041 

— Points as zero loci of rank 2 spanned vector bundles. 92m:14053 

Biancofiore, Aldo (with Lanteri, Antonio; Livorni, Elvira Laura) Ample and spanned vector 
bundles of sectional genera three. 92k:14039 

Bondal, A. I. (with Gorodentsev, A. L.) On the functors Ext’ applied to exceptional bundles 
on P?. 92b:14021 

Chen, Hao? The universal family of holomorphic subbundles of the tangent bundle of 
complex projective space. (Chinese) 92k:14040 

Coanda, Iustin About restricting 2-bundles on P? to planes. 92i:14041 

Decker, W. (with Narasimhan, M. S.; Schreyer, Frank-Olaf) Rank 2 vector bundles on P, 
with c, odd and contact curves. 92b:14022 

Gorodentsev, A. L. see Bondal, A. I., 92b:14021 

Gurrola, Pedro A bound for the vanishing of the first cohomology group of a rank 2 stable 
reflexive sheaf over P?. 92g:14041 

Hartshorne, R. (with Rao, Aroor Prabhakar) Spectra and monads of stable bundles. 
92k:14041 

Hosoh, Toshio Note on stable sheaves of rank 2 on a cubic surface. 92j:14053 

— Stable sheaves of rank 2 on a 3-dimensional rational scroll. 92a:14042 

Hulek, K. (with Van de Ven, A.) Some remarks concerning rank 2 bundles and Chow 
groups. 92a:14043 

Kreuzer, Martin Vector bundles with good sections. 92e:14040 

Lanteri, Antonio see Ballico, Edoardo, 92f:14039 and Biancofiore, Aldo; et al., 92k:14039 

Livorni, Elvira Laura see Biancofiore, Aldo; et al., 92k:14039 

Manaresi, Mirella On the jumping conics of a semistable rank two vector bundle on P?. 
92b:14023 

Mong, Kai-Cheong Some polynomials on the blow-up of P2(C). 92i:14042 

Moriwaki, Atsushi A note on Bogomolov-Gieseker’s inequality in positive characteristic. 
92m:14054 

Narasimhan, M.S. see Decker, W.; et al., 92b:14022 

Ottaviani, Giorgio see Ancona, Vincenzo, 92e:14039 

Peternell, Thomas A characterization of P,, by vector bundles. 92a:14044 

Rao, Aroor Prabhakar see Hartshorne, R., 92k:14041 

Roggero, Margherita (with Valabrega, Paolo) Chern classes and cohomology for rank 2 
reflexive sheaves on P?. 92g:14042 

Rohmfeld, R. F. Stability of homogeneous vector bundles on CP,,. 92f:14040 

Schreyer, Frank-Olaf see Decker, W.; et al., 92b:14022 

Shepherd-Barron, N. I. Unstable vector bundles and linear systems on surfaces in character- 
istic p. 92h:14027 

Sols Lucia, Ignacio (with Szurek, Michal; Wisniewski, Jaroslaw A.) Rank-2 Fano bundles 
over a smooth quadric Q;. 92a:14045 

Szurek, Michal see Sols Lucia, Ignacio; et al., 92a:14045 





14J Surfaces and higher-dimensional varieties 


Valabrega, Paolo see Roggero, Margherita, 92g:14042 

Van de Ven, A. see Hulek, K., 92a:14043 

Wisniewski, Jarosiaw A. see Sols Lucia, Ignacio; et al., 92a:14045 

Zube, S. K. Logarithmic transformation of an elliptic surface and vector bundles. (Russian) 
92j:14054 


Items with secondary classifications in 14360 

Ancona, Vincenzo (with Ottaviani, Giorgio) Canonical resolutions of sheaves on Schubert 
and Brieskorn varieties. 92f:14014 

Banica, Constantin Structures doubles et triples sur un sous-espace complexe, applications. 
[Double and triple structures on a complex subspace, and applications] 92j:14021 

Bauer, Stefan Parabolic bundles, elliptic surfaces and SU(2)-representation spaces of genus 
zero Fuchsian groups. 92h:14007 

Braun, Robert On a geometric property of the normal bundle of surfaces in Ps. 92c:14033 

Donaldson, S. K. Instantons in Yang-Mills theory. 92c:57030 

Drezet, Jean-Marc Points non factoriels des variétés de modules de faisceaux semi-stables 
sur une surface rationnelle. [Nonfactorial points of moduli varieties of semistable sheaves 
on a rational surface] 92d:14009 

— Variétés de modules extrémales de faisceaux semi-stables sur P2(C). [Varieties of extremal 
moduli of semistable sheaves on P2(C)}] 92m:14017 

Itoh, Mitsuhiro Poincaré bundle and Chern classes. 92m:32051 

Klyachko, A. A. Moduli of vector bundles and numbers of classes. (Russian) 92e:14007 

Lanteri, Antonio A note on k-dimensional double solids. (Italian summary) 92c:14031 

Luo, Tie The horizontal base locus of multiples of tautological sheaves of projectivised 
cotangent bundles. 92i:14040 

Maruyama, Masaki (with Trautmann, G.) On compactifications of the moduli space of 
instantons. 92a:14009 

— (with Trautmann, G.) Degenerations of instantons. 92j:14017 

Mong, Kai-Cheong On the reducibility of moduli spaces of stable 2-bundles over an elliptic 
surface. 92k:14010 

Narasimhan, M.S. (with Trautmann, G.) The Picard group of the compactification of 
Mp, (0,2). 92m:14020 

Okonek, Christian (with Van de Ven, A.) Stable bundles, instantons and C™-structures on 
algebraic surfaces. 92g:57042 

Ottaviani, Giorgio see Ancona, Vincenzo, 92f:14014 

Papantonopoulou, Aigli Surfaces of general type in P*. 92g:14037 

Peternell, Thomas Ample vector bundles on Fano manifolds. 92c:14038 

Qin, Zhenbo Birational properties of moduli spaces of stable locally free rank-2 sheaves on 
algebraic surfaces. 92h:14009 

Sato, Takeshi The flat holomorphic conformal structure on the Horrocks-Mumford 
orbifold. 92h:14030 

Sumihiro, Hideyasu Elementary transformations of algebraic vector bundles. 92e:14012 

— Elementary transformations of algebraic vector bundles. II. 92e:14013 

Szurek, Michal (with Wisniewski, Jaroslaw A.) Fano bundles of rank 2 on surfaces. 
92e:14037 

— (with Wisniewski, Jaroslaw A.) On Fano manifolds, which are P*-bundles over P?. 
92e:14038 

Trautmann, G. see Maruyama, Masaki, 92a:14009; 92j:14017 and Narasimhan, M. S., 
92m:14020 

Van de Ven, A. see Okonek, Christian, 92g:57042 

Wisniewski, Jarosiaw A. see Szurek, Michal, 92e:14037 and 92¢:14038 

Zuo, Kang Generic smoothness of the moduli spaces of rank two stable vector bundles over 
algebraic surfaces. 92i:14008 


14370 Hypersurfaces 


Aure, Alf Bjorn The smooth surfaces on cubic hypersurface in P* with isolated singularities. 
92a:14046 

Ciliberto, Ciro (with Hirschowitz, André) Hypercubiques de P* avec sept points singuliers 
génériques. (English summary) [Hypercubics in P* with seven generic singular points] 
92g:14043 

Hirschowitz, André see Ciliberto, Ciro, 92g:14043 

Ishida, Masa-Nori The algebraic surface defined by a sum of four monomials. 92f:14041 

Lynker, Monika (with Schimmrigk, Rolf) Landau-Ginzburg theories as orbifolds. 
92g:14044 

Namba, Makoto A remark on the theorem of Cayley-Bacharach. 92e:14041 

Schimmrigk, Rolf see Lynker, Monika, 92g:14044 


Items with secondary classifications in 14J70 

Popescu, Dorin (with Roczen, Marko) The second Brauer-Thrall conjecture for isolated 
singularities of excellent hypersurfaces. 92f:16014 

Roczen, Marko see Popescu, Dorin, 92f:16014 

Shi, He The positivity of the Chern characters of a hypersurface with singularities. 
92¢:14004 

Yang, Kichoon The Chern numbers of projective algebraic hypersurfaces. 92k:53128 


14J99 None of the above, but in this section 
Ran, Ziv The (dimension +2)-secant lemma. 92j:14055 


Items with secondary classifications in 14399 

Ando, Tetsuya On the normal bundle of P' in a higher-dimensional projective variety. 
92m:14040 

Bertram, Aaron (with Ein, Lawrence; Lazarsfeld, Robert) Vanishing theorems, a theorem of 
Severi, and the equations defining projective varieties. 92g:14014 

Daigle, D. Birational endomorphisms of the affine plane. 92k:14012 

De Mari, Filippo (with Shayman, Mark A.) Lie algebraic generalizations of Hessenberg 
matrices and the topology of Hessenberg varieties. (see 92b:93006) 

Ein, Lawrence see Bertram, Aaron; et al., 92g:14014 

Lazarsfeld, Robert see Bertram, Aaron; et al., 92g:14014 





14J99 


Shayman, Mark A. see De Mari, Filippo, (92b:93006) 


14Kxx Abelian varieties and schemes 
Kempf, George R. * Complex abelian varieties and theta functions. 92h:14028 


14K02 Isogeny 


Birkenhake, Christina (with Lange, Herbert) The exponent of an abelian subvariety. 
92f:14042 
Lange, Herbert see Birkenhake, Christina, 92f:14042 


Items with secondary classifications in 14K02 

Aoki, Noboru Simple factors of the Jacobian of a Fermat curve and the Picard number of a 
product of Fermat curves. 92m:14057 

Bochnak, Jacek (with Kucharz, Wojciech) Nonisomorphic algebraic models of a smooth 
manifold. 92c:14053 

Chai, Ching-Li (with Norman, Peter) Singularities of the T(p)-level structure. 92k:14042 

Kucharz, Wojciech see Bochnak, Jacek, 92c:14053 

Mestre, Jean-Francois Familles de courbes hyperelliptiques 4 multiplications réelles. 
[Families of hyperelliptic curves with real multiplication] 92¢:14022 

Nart, Enric (with Xarles, Xavier) Additive reduction of algebraic tori. 92m:14056 

Norman, Peter see Chai, Ching-Li, 92k:14042 

Ribet, Kenneth A. The old subvariety of Jo(pq). 92a:11069 

Riick, Hans-Georg Abelian surfaces and Jacobian varieties over finite fields. 92e:14016 

Xarles, Xavier see Nart, Enric, 92m:14056 


14K05 Algebraic theory 


Birkenhake, Christina (with Lange, Herbert) Symmetric theta-structures. 92a:14047 

Coleman, Robert F. Vectorial extensions of Jacobians. 92e:14042 

Deninger, Christopher (with Murre, Jacob) Motivic decomposition of abelian schemes and 
the Fourier transform. 92m:14055 

Ichikawa, Takashi Algebraic groups associated with abelian varieties. 92f:14043 

Lange, Herbert Projective embeddings of abelian varieties. 92h:14029 

— see also Birkenhake, Christina, 92a:14047 

Murre, Jacob see Deninger, Christopher, 92m:14055 

Murty, V. Kumar Computing the Hodge group of an abelian variety. 92g:14045 

Nart, Enric (with Xarles, Xavier) Additive reduction of algebraic tori. 92m:14056 

Xarles, Xavier see Nart, Enric, 92m:14056 


Items with secondary classifications in 14K05 


Birkenhake, Christina (with Lange, Herbert) The exponent of an abelian subvariety. 
92£:14042 


Chai, Ching-Li (with Norman, Peter) Singularities of the 'o(p)-level structure. 92k:14042 


Chi, Wén Chén On the /-adic representations attached to simple abelian varieties of type IV. 


92g:11059 

Fahlaoui, Rachid (with Laszlo, Yves) Transformée de Fourier et stabilité sur les surfaces 
abéliennes. [Fourier transform and stability on abelian surfaces] 92i:14017 

Kempf, George R. * Complex abelian varieties and theta functions. 92h:14028 

Lange, Herbert see Birkenhake, Christina, 92f:14042 

Laszlo, Yves see Fahlaoui, Rachid, 92i:14017 

Li, Ke Zheng Actions of group schemes. I. 92h:14032 

Norman, Peter see Chai, Ching-Li, 92k:14042 


14K10 Algebraic moduli, classification 


Chai, Ching-Li Moduli of abelian varieties. 92f:14044 

— (with Norman, Peter) Singularities of the I(p)-level structure. 92k:14042 

— see also Faltings, Gerd, 92d:14036 

Faltings, Gerd (with Chai, Ching-Li) * Degeneration of abelian varieties. 924:14036 

(Mumford, David) see Faltings, Gerd, 92d:14036 

Noguchi, Junjiro Moduli space of abelian varieties with level structure over function fields. 
92c:14042 

Norman, Peter see Chai, Ching-Li, 92k:14042 

Oort, Frans Hyperelliptic supersingular curves. 92c¢:14043 

— Moculi of abelian varieties and Newton polygons. (French summary) 92a:14048 

Sato, Takeshi The flat holomorphic conformal structure on the Horrocks-Mumford 
orbifold. 92h:14030 


Items with secondary classifications in 14K10 

Bosch, Siegfried (with Liitkebohmert, Werner) Degenerating abelian varieties. 92i:14043 

Debarre, Olivier Trisecant lines and Jacobians. 92j:14035 

Ekedahl, Torsten (with van Geemen, Bert) An exceptional isomorphism between modular 
varieties. 92f:11081 

van Geemen, Bert see Ekedahl, Torsten, 92f:11081 

Lange, Herbert Projective embeddings of abelian varieties. 92h:14029 

Litkebohmert, Werner see Bosch, Siegfried, 92i:14043 

Moret-Bailly, Laurent Sur l’équation fonctionnelle de la fonction théta de Riemann. [On 
the functional equation of the Riemann theta function] 92a:14049 


14K15 Arithmetic ground fields [see also 11Dxx, 11Fxx, 11Gxx, 
14Gxx] 


Aoki, Nobora Simple factors of the Jacobian of a Fermat curve and the Picard number of a 
product of Fermat curves. 92m:14057 

Bosch, Siegfried (with Liitkebohmert, Werner) Degenerating abelian varieties. 92i:14043 

Litkebohmert, Werner see Bosch, Siegfried, 92i:14043 

Vogel, Ferdinand * Zur Uniformisierung abelscher Schemata. (German) [On the uni- 
formization of abelian schemes] 92c:14044 


ALGEBRAIC GEOMETRY 


Zarkhin, Yu. G. Abelian varieties and Lie algebras. (Russian) 92d:14037 


Items with secondary classifications in 14K15 


Coleman, Robert F. The universal vectorial bi-extension and p-adic heights. 92k:14021 

David, Sinnou Fonctions théta et points de torsion des variétés abéliennes. [Theta functions 
and torsion points of abelian varieties] 92d:11061 

Flynn, E. V. Large rational torsion on abelian varieties. 92b:11036 

Hazama, Fumio On the Mordell-Weil group of certain abelian varieties defined over the 
rational function field. 92h:11051 

Jones, John William On the local norm map for abelian varieties with good ordinary 
reduction. 92d:11062 

Kuga, Michio (with Parry, Walter; Sah, Chih-Han) Invariants and Hodge cycles. III. 
92h:11053a 

— (with Parry, Walter; Sah, Chih-Han) Invariants and Hodge cycles. IV. 92h:11053b 

Lee, Min Ho Conjugates of equivariant holomorphic maps of symmetric domains. 
92f:11082 

Lorenzini, Dino J. Groups of components of Néron models of Jacobians. 92d:14019 

Oort, Frans CM-liftings of abelian varieties. 92h:14031 

Parry, Walter see Kuga, Michio; et al., 92h:11053a and 92h:11053b 

Philippon, Patrice Sur des hauteurs alternatives. I. [On alternative heights. I] 92m:11061 

Riick, Hans-Georg Abelian surfaces and Jacobian varieties over finite fields. 92e:14016 

Sah, Chih-Han see Kuga, Michio; et al., 92h:11053a and 92h:11053b 

Silverman, Joseph H. Rational points on symmetric products of a curve. 92m:11060 

Szpiro, Lucien Sur les solutions d’un systéme d’équations polynomiales sur une variété 
abélienne (d’aprés G. Faltings et P. Vojta). [On solutions of a system of polynomial 
equations on an abelian variety (after G. Faltings and P. Vojta)] 92i:14024 

Wingberg, Kay Duality theorems for abelian varieties over Zp-extensions. 92h:11052 

Zarkhin, Yu. G. Torsion and endomorphisms of abelian varieties over infinite extensions of 
number fields. (Russian) 92k:11062 


14K20 Analytic theory; abelian integrals and differentials 


(Bluher, G.) see Markushevich, A. I., 92k:14043 

Liitkebohmert, Werner (with Vogel, Ferdinand) Algebraic families of p-adic tori. 
92d:14038 

Markushevich, A. I. * Introduction to the classical theory of abelian functions. 92k:14043 

Nakayashiki, Atsushi Structure of Baker-Akhiezer modules of principally polarized abelian 
varieties, commuting partial differential operators and associated integrable systems. 
92):14056 

Smirnov, A. O. Real elliptic solutions of the sine-Gordon equation. (Russian) 92g:14046 

Vogel, Ferdinand see Liitkebohmert, Werner, 92d:14038 


Items with secondary classifications in 14K20 


Alber, Mark S. Hyperbolic geometric asymptotics. 92k:58268 

Babich, M. V. Real finite-gap solutions of the equation Au = chu. (Russian) 92k:35240 

Chueshev, V. V. Cohomological Gunning fibration and the Torelli group. (Russian) 
92a:14020 

Ferrari, Franco Bosonization techniques on algebraic curves and conformal field theories. 
92m:81242 

Gavrilov, Ljubomir (with Khorozov, E. I.) Limit cycles and zeroes of abelian integrals 
satisfying third order Picard-Fuchs equations. 92e:58167 

Guo, Han Ying see Wang, Shi Kun; et al., 92d:17024 

Kempf, George R. * Complex abelian varieties and theta functions. 92h:14028 

Khorozov, E.1. see Gavrilov, Ljubomir, 92e:58167 

Kubo, Reijiro (with Ojima, Shuichi) Quantum field theory on higher-genus Riemann 
surfaces. II. Bosonic systems. 92c:81174 

Lee, Jong Eao Riemann surface theory in the nonlinear evolution equations. 92k:35236 

MardeSié, Pavao An explicit bound for the multiplicity of zeros of generic Abelian integrals. 
92h:58163 

Moser, Jiirgen (with Veselov, A. P.) Discrete versions of some classical integrable systems 
and factorization of matrix polynomials. 92g:58054 

Ojima, Shuichi see Kubo, Reijiro, 92c:81174 

Petrov, G.S. Nonoscillation of elliptic integrals. (Russian) 92¢:33036 

Previato, Emma The Calogero-Moser-Krichever system and elliptic Boussinesq solitons. 
92e:58100 

Semikhatov, A.M. Global operator formalism in the theory of bosonic strings on Riemann 
surfaces. (Russian) 92e:81246 

Shen, Jian Min see Wang, Shi Kun; et al., 92d:17024 

Taimanov, I. A. Two-dimensional finite-gap potential Schrodinger operators. (Russian) 
92g:58059 

Veselov, A. P. see Moser, Jiirgen, 92g:58054 

Wang, Shi Kun (with Shen, Jian Min; Guo, Han Ying) The algebra of meromorphic vector 
fields with multiple poles on a Riemann surface and its realization by meromorphic /- 
differentials. I. (Chinese. English summary) 92d:17024 

Zagrodzitiski, J. Dispersion equation technique for periodic solutions of NLPDEs. 
92k:58235 


14K22 Complex multiplication [see also 11G15] 
Oort, Frans CM-liftings of abelian varieties. 92h:14031 


Items with secondary classifications in 14K22 


Aoki, Noboru Simple factors of the Jacobian of a Fermat curve and the Picard number of a 
product of Fermat curves. 92m:14057 

Nakamura, Tetsuo p-divisible groups with complex multiplication over W(k). 92m:14058 

Ogus, Arthur A p-adic analogue of the Chowla-Selberg formula. 92i:11060 


14K25 Theta functions 
Capocasa, F. (with Catanese, Fabrizio) Periodic meromorphic functions. 92¢:14043 





251 1992 


Catanese, Fabrizio see Capocasa, F., 92¢:14043 
Moret-Bailly, Laurent Sur l’équation fonctionnelle de la fonction théta de Riemann. [On 
the functional equation of the Riemann theta function] 92a:14049 


Taimanov, I. A. Prym theta functions and hierarchies of nonlinear equations. (Russian) 
92k:14044 


Items with secondary classifications in 14K25 


Alvarez, Enrique (with Ortin, Tomas; Osorio, M. A. R.) Critical behavior of heterotic 
strings to all orders in string perturbation theory. 92b:81141 

Arbarello, Enrico (with De Concini, Corrado) Geometrical aspects of the Kadomtsev- 
Petviashvili equation. 92a:14023 

Baxter, Rodney James Corner transfer matrices of the chiral Potts model. 92g:82030 

Bikbaev, R. F. Whitham restructuring and time asymptotics of the solution of a nonlinear 
Schrédinger equation with finite-gap behavior as x — too. (Russian) 92g:35198 

Birkenhake, Christina (with Lange, Herbert) Symmetric theta-structures. 92a:14047 

Bobenko, A. I. All constant mean curvature tori in R?, S>, H? in terms of theta-functions. 
92h:53072 

Bytsenko, A. A. (with Odintsov, S. D.) Free energy of supermembranes compactified on a 
torus. (Russian) 92c:81125 

Chai, Ching-Li see Faltings, Gerd, 92d:14036 

Clavelli, L. (with Cox, Paul H.; Harms, B.; Konno, Hitoshi) Bosonization of odd-spin- 
structure amplitudes. 92c:81127 

Cox, Paul H. see Clavelli, L.; et al., 92¢:81127 

David, Sinnou Fonctions théta et points de torsion des variétés abéliennes. [Theta functions 
and torsion points of abelian varieties] 92d:11061 

Deck, Thomas Deformations from Virasoro to Krichever-Novikov algebras. 92d:17027 

De Concini, Corrado see Arbarello, Enrico, 92a:14023 

Faltings, Gerd (with Chai, Ching-Li) * Degeneration of abelian varieties. 92d:14036 

Foda, Omar Theta functions, lattices, and statistical mechanics. 92m:82037 

Gonzalez Diez, Gabino Loci of curves which are prime Galois coverings of P'. 92c:14021 

Grinevich, P.G. (with Orlov, A. Yu.) Virasoro action on Riemann surfaces, Grassmanni- 
ans, det 9, and Segal-Wilson t-function. 92f:32035 

— (with Krichever, Ios. M.) Algebraic-geometry methods in soliton theory. (see 92f:58090) 

Harms, B. see Clavelli, L.; et al., 92¢:81127 

Jarnicki, Marek (with Pflug, Peter) The inner Carathéodory distance for the annulus. 
924:32030 

Jue, Changkeun see Myung, Yun Soo, 92i:81302 

Kaiser, R. K. Classification of GSO projections and rank reduction in the covariant lattice 
formalism. 92k:81149 

Kempf, George R. * Complex abelian varieties and theta functions. 92h:14028 

Konno, Hitoshi see Clavelli, L.; et al., 92c:81127 

Korotkin, D. A. Self-dual Yang-Mills fields and deformations of algebraic curves. 92b:14015 

— Finite-gap solutions of the equation of cylindrical-symmetric Heisenberg magnetics. 
(Russian) 92d:82052 

— Algebraic geometric solutions of Einstein’s equations: some physical properties. 
92j:83027 

Krichever, los. M. see Grinevich, P. G., (92f:58090) 

Lange, Herbert see Birkenhake, Christina, 92a:14047 

Leo, R. A. (with Martina, L.; Soliani, Giulio) A noncompact spin model in (2 + 1) 
dimensions. 92b:82088 

Martina, L. see Leo, R. A.; et al., 92b:82088 

Matone, Marco Conformal field theory, real weight differentials and KdV equation in higher 
genus. 92d:58081 

Matveev, V. B. (with Smirnov, A. O.) Star-triangle equations and some properties of 
algebraic curves that are connected with the integrable chiral Potts model. (Russian) 
92e:82028 

McCrory, Clint (with Shifrin, Theodore; Varley, Robert) The Gauss map of a genus three 
theta divisor. 92h:14019 

Morozov, A. Yu. Pointwise vanishing of two-loop contributions to one-, two- and three- 
point functions in the Neveu-Schwarz-Ramond formalism. (Russian. English summary) 
92¢:81145 

(Mumford, David) see Faltings, Gerd, 92d:14036 

Myung, Yun Soo (with Jue, Changkeun) Partition function for N = 1, c = 3/2 superconfor- 
mal model on the supertorus with two punctures. 92i:81302 

Odintsov, S. D. see Bytsenko, A. A., 92c:81125 

Ooguri, Hirosi Conformal field theory on a Riemann surface. 92a:81188 

Opolka, Hans Geometry of the finite Fourier transform. 92¢:11149 

Orlov, A. Yu. see Grinevich, P. G., 92f:32035 

Ortin, Tomas see Alvarez, Enrique; et al., 92b:81141 

Osorio, M. A. R. see Alvarez, Enrique; et al., 92b:81141 

Pflug, Peter see Jarnicki, Marek, 924:32030 

Raina, A. K. Chiral fermions on a Riemann surface and the trisecant identity. 92h:14020 

Salvati Manni, Riccardo Projective varieties and rings of Thetanullwerte. 92f:11061 

Schellekens, A. N. Riemann identities for four-dimensional strings. 92f:81153 

Shifrin, Theodore see McCrory, Clint; et al., 92h:14019 

Smirnov, A. O. Real elliptic solutions of the sine-~Gordon equation. (Russian) 92g:14046 

— see also Matveev, V. B., 92e:82028 

Soliani, Giulio see Leo, R. A.; et al., 92b:82088 

Tsuyumine, Shigeaki Thetanullwerte on a moduli space of curves and hyperelliptic loci. 
925:14037 

Varley, Robert see McCrory, Clint; et al., 92h:14019 

Veselov, A. P. Confocal surfaces and integrable billiards on the sphere and in the 
Lobachevsky space. 92b:58110 


14K30 Picard schemes, higher Jacobians [see also 14H40, 
32G20] 
Shenderovskii, V.G. The theta-divisor of the intermediate Jacobian of a double space P? of 


index 2 [translation of Problems in group theory and homological algebra (Russian), 74- 
76, Yaroslav. Gos. Univ., Yaroslavl’, 1987]. 92b:14024 


14L Group schemes 


Wa, Xian On an infinitesimal invariant of normal functions. 92a:14050 


Items with secondary classifications in 14K30 

Clemens, Herbert The quartic double solid revisited. 92m:14051 

Green, Mark (with Lazarsfeld, Robert) Higher obstructions to deforming cohomology 
groups of line bundles. 92i:32021 

Iskovskikh, V. A. On the rationality problem for conic bundles. (Russian) 92k:14036 

Lazarsfeld, Robert see Green, Mark, 92i:32021 

Nakayashiki, Atsushi Structure of Baker-Akhiezer modules of principally polarized abelian 
varieties, commuting partial differential operators and associated integrable systems. 
92j:14056 

Shimada, Ichiro On the cylinder homomorphism for a family of algebraic cycles. 92g:14007 

Taimanov, I. A. Prym theta functions and hierarchies of nonlinear equations. (Russian) 
92k:14044 

Voisin, Claire Une approche infinitésimale du théoréme de H. Clemens sur les cycles d’une 
quintique générale de P*. [An infinitesimal approach to the theorem of H. Clemens on the 
cycles of a general quintic in P*] 92k:14008 

Zelinsky, David S. Some abelian threefolds with nontrivial Griffiths group. 92h:14005 


14K99 None of the above, but in this section 


Items with secondary classifications in 14K99 


Cristante, Valentino Witt realization of the p-adic Barsotti-Tate groups; some applications. 
92a:14051 


Mok, Ngaiming Aspects of Kahler geometry on arithmetic varieties. 92j:32027 


14Lxx Group schemes {For linear algebraic groups, see 
20Gxx. For Lie algebras, see 17B45.} 


14L05 Formal groups, p-divisible groups [see also 55N22] 


Cristante, Valentino Witt realization of the p-adic Barsotti-Tate groups; some applications. 
92a:14051 

Ditters, E. J. Hilbert functions and Witt functions. An identity for congruences of Atkin 
and of Swinnerton-Dyer type. 92b:14025 

Fossum, Robert M. One-dimensional formal group actions. 92i:14044 

Nakamura, Tetsuo p-divisible groups with complex multiplication over W(k). 92m:14058 


Items with secondary classifications in 14L05 


Berthelot, Pierre (with Messing, William) Théorie de Dieudonné cristalline. II]. Théorémes 
d’équivalence et de pleine fidélité. [Crystalline Dieudonné theory. III. Equivalence and 
full-faithfulness theorems] 92h:14012 

Chellali, Mustapha Congruences entre nombres de Bernoulli-Hurwitz dans le cas super- 
singulier. [Congruences between Bernoulli-Hurwitz numbers in the supersingular case] 
92f:11079 

Fontaine, Jean-Marc Représentations p-adiques des corps locaux. I. [p-adic representations 
of local fields. I] 92i:11125 

Kim, Jae Moon Formal groups and Dirichlet L-functions. 92a:11096 

Messing, William see Berthelot, Pierre, 92h:14012 

Roubaud, Jean * Schémas en groupes finis sur un anneau de valuation discréte et systémes 
de Honda associés. (French) [Finite group schemes over a discrete valuation ring and 
associated Honda systems] 92m:14059 

Stienstra, Jan The generalized de Rham-Witt complex and congruence differential 
equations. 92f:14016 


14L10 Group varieties 


Items with secondary classifications in 14L10 


Hirata-Kohno, Noriko Minorations effectives de formes linéaires de logarithmes sur les 
groupes algébriques. (English summary) [An effective lower bound for linear forms in 
logarithms on algebraic groups] 92¢e:11076 

Ichikawa, Takashi Algebraic groups associated with abelian varieties. 92f:14043 

Monastyrnyi, A. P. Spinor quotient groups and R-equivalence. (Russian. English summary) 
92d:20061 


14L15 Group schemes 


Friedlander, Eric Mark (with Mislin, Guido) Galois descent and cohomology for algebraic 
groups. 92a:14052 

Jaffe, David B. On sections of commutative group schemes. 92j:14057 

Li, Ke Zheng Actions of group schemes. I. 92h:14032 

Mislin, Guido see Friedlander, Eric Mark, 92a:14052 

Miyanishi, Masayoshi (with Nomura, Tatsuya) Finite group scheme actions on the affine 
plane. 92j:14058 

Nomura, Tatsuya see Miyanishi, Masayoshi, 92j:14058 

Roubaud, Jean * Schémas en groupes finis sur un anneau de valuation discréte et systemes 
de Honda associés. (French) [Finite group schemes over a discrete valuation ring and 
associated Honda systems] 92m:14059 

Sekiguchi, Tsutomu (with Suwa, Noriyuki) Some cases of extensions of group schemes over 
a discrete valuation ring. II. 92d:14040 

— (with Suwa, Noriyuki) A case of extensions of group schemes over a discrete valuation 
ring. 92d:14039 

— (with Suwa, Noriyuki) Théorie de Kummer-Artin-Schreier. (English summary) 
(Kummer-Artin-Schreier theory] 92f:14045 

— (with Suwa, Noriyuki) Some cases of extensions of group schemes over a discrete 
valuation ring. I. 92i:14045 

Suwa, Noriyuki see Sekiguchi, Tsutomu, 92d:14039; 92d:14040; 92f:14045 and 92i:14045 





14L15 


Waterhouse, William C. A local determination theorem for finite principal homogeneous 
spaces. 92a:14053 


Items with secondary classifications in 14L15 

Contou-Carrére, C. Jacobiennes généralisées globales relatives. [Relative global generalized 
Jacobians] 92c:14023 

Hanamura, Masaki The birational automorphism groups and the Albanese maps of 
varieties with Kodaira dimension zero. 92i:14011 

Nakkajima, Yukiyoshi (with Taguchi, Yuichiro) A generalization of the Chowla-Selberg 
formula. 92g:11113 

Taguchi, Yuichiro see Nakkajima, Yukiyoshi, 92g:11113 

Taylor, Martin J. Résolvandes et espaces homogénes principaux de schémas en groupe. 
[“Resolvands” and principal homogeneous spaces of group schemes} 92e:11129 


14L17 Affine algebraic groups, hyperalgebra constructions 
[see also 17B45, 18D35] 


Ishibashi, Yasunori (with Suzuki, Takumi) Note on rings of invariants associated with gp- 
actions. 92¢:14045 
Suzuki, Takumi see Ishibashi, Yasunori, 92c:14045 


Items with secondary classifications in 14L17 

Lusztig, George Symmetric spaces over a finite field. 92e:20034 

Sawada, Hideki * Foundations of linear algebraic groups. Part I. 92c:20085 
— * Foundations of linear algebraic groups. Part II. 92j:20045 


14L27 Automorphism groups [see also 14E09] 


Masuda, Mikiya (with Petrie, Ted) Equivariant algebraic vector bundles over representa- 
tions of reductive groups: theory. 92j:14059a 

— (with Moser-Jauslin, Lucy; Petrie, Ted) Equivariant algebraic vector bundles over 
representations of reductive groups: applications. 92j:14059b 

Moser-Jauslin, Lucy see Masuda, Mikiya; et al., 92j:14059b 

Petrie, Ted see Masuda, Mikiya, 92j:14059a and 92j:14059b 

Popov, V. L. On the actions of G, on A”. (Russian) 92a:14054 

Zarkhin, Yu. G. Dimensions of reductive automorphism groups. 92h:14033 


Items with secondary classifications in 14L27 


Hanamura, Masaki Relative birational automorphisms of algebraic fiber spaces. 92h:14010 
Jurkiewicz, Jerzy Maciej Linearizing some Z/2Z actions on affine space. 92f:14046 
Kirezci, Murat The Jacobian conjecture. I, II. (Turkish summary) 92a:14012 


14L30 Group actions on varieties or schemes (quotients) 
[see also 14D25] 


Andruskiewitsch, Nicolas (with Tirao, Juan A.) A restriction theorem for modules having a 
spherical submodule. 92h:14034 

Bertuccioni, Inta Algebraic actions of p-groups. 92k:14045 

Bessenrodt, Christine (with Le Bruyn, Lieven) Stable rationality of certain PGL,-quotients. 
92m:14060 

Bialynicki-Birula, Andrzej (with Swiecicka, Joanna) Good quotients for actions of SL(2). 
(Russian summary) 92h:14035 

— (with Swiecicka, Joanna) A reduction theorem for existence of good quotients. 
92b:14026 

Brion, Michel (with Procesi, Claudio) Action d’un tore dans une variété projective. [Action 
of a torus in a projective variety] 92m:14061 

De Mari, Filippo (with Procesi, Claudio; Shayman, Mark A.) Hessenberg varieties. 
92j:14060 

Deveney, James K. (with Finston, David R.) Rationally triangulable automorphisms. 
92m:14062 

Fieseler, Karl-Heinz (with Kaup, Ludger) Fixed points, exceptional orbits, and homology 
of affine C*-surfaces. 92¢:14044 

— see also Kaup, Ludger, 92d:14041 

Finston, David R. see Deveney, James K., 92m:14062 

Jurkiewicz, Jerzy Maciej Linearizing some Z/2Z actions on affine space. 92f:14046 

Kaup, Ludger (with Fieseler, Kari-Heinz) Hyperbolic C*-actions on affine algebraic 
surfaces. 92d:14041 

— see also Fieseler, Karl-Heinz, 92e:14044 

Knop, Friedrich Nichtlinearisierbare Operationen halbeinfacher Gruppen auf affinen 
Raumen. [Nonlinearizable operations of semisimple groups on affine spaces] 92c:14046 

Koitabashi, Masanori On the structure of some quotient spaces. 92f:14047 

Kraft, Hanspeter C*-actions on affine space. 92f:14048 

Le Bruyn, Lieven see Bessenrodt, Christine, 92m:14060 

Maeda, Takashi On the invariant field of binary octavics. 92g:14047 

Martin, Bernd A classification of nondegenerated binary forms. 92i:14046 

Panyushev, D. I. The canonical module of an affine normal quasihomogeneous SL}-variety. 
(Russian) 92k:14046 

Procesi, Claudio see De Mari, Filippo; et al., 92j:14060 and Brion, Michel, 92m:14061 

Richardson, R. W. (with Slodowy, Peter) Minimum vectors for real reductive algebraic 
groups. 92a:14055 

Rynes, Jean Nonsingular affine k*-surfaces. 92j:14061 

Schwarz, Gerald W. Differential operators and orbit spaces. (see 92d:20004) 

Shayman, Mark A. see De Mari, Filippo; et al., 92j:14060 

Slodowy, Peter see Richardson, R. W., 92a:14055 

Swiecicka, Joanna see Bialynicki-Birula, Andrzej, 92b:14026 and 92h:14035 

Tan, Lin On the Popov-Pommerening conjecture for groups of type G2. 92k:14047 

Tirao, Juan A. see Andruskiewitsch, Nicolas, 92h:14034 

Trautman, Krzysztof Orbits that always have affine stable neighbourhoods. 92k:14048 

Van den Bergh, Michel Cohen-Macaulayness of modules of covariants. 92m:14063 

Wehlau, David L. A proof of the Popov conjecture for tori. 92f:14049 


ALGEBRAIC GEOMETRY 


Items with secondary classifications in 14L30 


Bifet, Emili Sur les points fixes du schéma Quoty, ,y,,; sous l’action du tore G7, ,. (English 
summary) [On the fixed points of the scheme Quot,, /x/k under the action Of he torus 
Gj.) 92¢:14004 

Bongartz, Klaus A geometric version of the Morita equivalence. 92f:16008 

Brion, Michel Cohomologie équivariante des points semi-stables. [Equivariant cohomology 
of semistable points] 92i:14010 

Capparelli, Stefano The Jordan canonical form in some 6-groups. 92m:20040 

Dovermann, Karl Heinz (with Knop, Friedrich; Suh, Dong Youp) Topological invariants of 
real algebraic actions. 92k:57065 

Ferrer Santos, Walter Closed conjugacy classes, closed orbits and structure of algebraic 
groups. 92m:20039 

Gerritzen, L. (with Piwek, M.) Degeneration of point configurations in the projective plane. 
92b:14005 

Ginzburg, V. A. Perverse sheaves and C*-actions. 92d:14013 

Ishibashi, Yasunori (with Suzuki, Takumi) Note on rings of invariants associated with gp- 
actions. 92¢:14045 

Joshua, Roy Riemann Roch for equivariant D-modules. I. 92d:14006 

— The trace formula for equivariant D-modules and perverse sheaves. 92d:14007 

Kapranov, M. M. (with Sturmfels, Bernd; Zelevinskii, A. V.) Quotients of toric varieties. 
92g:14050 

Katsylo, P. I. Stable rationality of fields of invariants of linear representations of the groups 
PSL, and PSL). (Russian) 92g:20065 

Khinich, V. A. On the singularities of nilpotent orbits. 92m:14005 

Knop, Friedrich The Luna-Vust theory of spherical embeddings. 92m:14065 

— see also Dovermann, Karl Heinz; et al., 92k:57065 

Li, Ke Zheng Actions of group schemes. I. 92h:14032 

Littelmann, Peter (with Procesi, Claudio) Equivariant cohomology of wonderful compacti- 
fications. 92b:14027 

Luna, Domingo Toute variété de Moisezon presque homogéne sous un tore est un schéma. 
(English summary) [All Moishezon manifolds almost homogeneous under a torus are 
schemes] 92k:32048 

Maeda, Takashi On the rationality of the invariant field under the action of SL(3,C) with 
signature (2,1). 92m:13004 

Miyanishi, Masayoshi (with Nomura, Tatsuya) Finite group scheme actions on the affine 
plane. 92j:14058 

Mortajine, A. * Classification des espaces préhomogeénes de type parabolique réguliers et 
de leurs invariants relatifs. (French) [Classification of regular parabolic prehomogeneous 
spaces and their relative invariants] 92e:20031 

Nomura, Tatsuya see Miyanishi, Masayoshi, 92j:14058 

Panyushev, D. 1. Rationality of singularities and the Gorenstein property of nilpotent orbits. 
(Russian) 92i:14047 

de la Petia, José A. On the dimension of the module-varieties of tame and wild algebras. 
92i:16016 

Piwek, M. see Gerritzen, L., 92b:14005 

Popov, V. L. On the actions of G, on A”. (Russian) 92a:14054 

— Invariant theory. 92b:13010 

— see also Vinberg, E. B., 92d:14010 

Procesi, Claudio see Littelmann, Peter, 92b:14027 

Secley, Craig Degenerations of central quotients. 92b:17012 

Sturmfels, Bernd see Kapranov, M. M.; et al., 92g:14050 

Suh, Dong Youp see Dovermann, Karl Heinz; et al., 92k:57065 

Suzuki, Takumi see Ishibashi, Yasunori, 92c:14045 

Vinberg, E. B. (with Popov, V.L.) Invariant theory. (Russian) 92d:14010 

Zelevinskii, A. V. see Kapranov, M. M.,; et al., 92g:14050 


14L35 Classical groups (geometric aspects) [see also 20Gxx, 
51N30] 


Items with secondary classifications in 14L35 

Monastyrnyi, A. P. (with Yanchevskii, V. I.) Whitehead groups of algebraic groups of 
classical type, and R-equivalence. (Russian) 92g:20072 

Yanchevskii, V. I. see Monastyrnyi, A. P., 92g:20072 


14L40 Other algebraic groups (geometric aspects) 


Items with secondary classifications in 14L40 

Lakshmibai, Venkatramani (with Weyman, Jerzy) Multiplicities of points on a Schubert 
variety in a minuscule G/P. 92a:14058 

Weyman, Jerzy see Lakshmibai, Venkatramani, 92a:14058 


14Mxx Special varieties 


14M05 Varieties defined by ring conditions (factorial, Cohen- 
Macaulay, seminormal) [see also 13C14, 13F 45, 13H10] 


Bermejo Diaz, Isabel Upper bound for the degrees of a standard basis of a Cohen-Macaulay 
variety of projective dimension zero with respect to lexicographic order. (Spanish. English 
summary) (see 92b:00044) 

Cavaliere, M. P. (with Rossi, M. E.; Valla, Giuseppe) On the resolution of points in generic 
position. 92g:14048 

Lé Tuan Hoa On monomial k-Buchsbaum curves in P?. 92k:14049 

Panyushev, D. 1. Rationality of singularities and the Gorenstein property of nilpotent orbits. 
(Russian) 92i:14047 

Rossi, M. E. see Cavaliere, M. P.; et al., 92g:14048 

Valla, Giuseppe see Cavaliere, M. P.; et al., 92g:14048 





253 1992 


Items with secondary classifications in 14M05 

Boda, Eduard (with Soléan, Stefan) A note on imperfect monomial curves in P?. (Russian 
summary) 92j:14062 

Bresinsky, Henrik Binomial generating sets for monomial curves, with applications in A‘. 
92e:13004 

Fiorentini, Mario (with Lé Tuan Hoa) On monomial k-Buchsbaum curves in P’. 
92m:14038 

Gimigliano, Alessandro On Veronesean surfaces. 92a:14034 

Giuffrida, Salvatore (with Maggioni, Renato) On the resolution of a curve lying on a smooth 
cubic surface in P?. 92g:14028 

Goto, Shiro see Morimoto, Mayumi, 92m:13002 

Lé Tuan Hoa see Fiorentini, Mario, 92m:14038 

Maggioni, Renato see Giuffrida, Salvatore, 92g:14028 

Manaresi, Mirella Permanence of local properties under hyperplane sections. 92f:14007 

Morimoto, Mayumi (with Goto, Shiro) Non-Cohen-Macaulay symbolic blow-ups for space 
monomial curves. 92m:13002 

Noma, Atsushi Gorenstein toric singularities and convex polytopes. 92k:14054 

Orecchia, Ferruccio (with Ramella, Isabella) On the computation of the conductor of an 
affine algebraic curve. 92e:14057 

Ramella, Isabella see Orecchia, Ferruccio, 92e:14057 

Soléan, Stefan see Boda, Eduard, 92j:14062 

Verschoren, A. Relative duality. 92b:13022 


14M06 Linkage [see also 13C 40] 


Baliico, Edoardo (with Bolondi, Giorgio; Migliore, Juan Carlos) The Lazarsfeld-Rao 
problem for liaison classes of two-codimensional subschemes of P”. 92c:14047 

Bolondi, Giorgio see Ballico, Edoardo; et al., 92c:14047 

Geramita, Anthony V. (with Migliore, Juan Carlos) A generalized liaison addition. 
92a:14056 

Migliore, Juan Carlos see Geramita, Anthony V., 92a:14056 and Ballico, Edoardo; et al., 
92¢:14047 





Items with secondary classifications in 14M06 

Aure, Alf Bjorn The smooth surfaces on cubic hypersurface in P* with isolated singularities. 
92a:14046 

Bolondi, Giorgio (with Kleppe, Jan O.; Miré-Roig, Rosa Maria) Maximal rank curves and 
singular points of the Hilbert scheme. 92i:14032 

Davis, Edward D. Curves which are close to complete intersections. 92a:14028 

Decker, W. (with Narasimhan, M. S.; Schreyer, Frank-Olaf) Rank 2 vector bundles on P, 
with c, odd and contact curves. 92b:14022 

Fleystad, Gunnar On space curves with good cohomological properties. 92i:14033 

Geramita, Anthony V. (with Kreuzer, Martin; Robbiano, Lorenzo) Cayley-Bacharach 
schemes and their canonical modules. 92g:13018 

Giuffrida, Salvatore (with Maggioni, Renato) On the resolution of a curve lying on a smooth 
cubic surface in P?. 92g:14028 

Herzog, Jiirgen (with Ulrich, Bernd) Self-linked curve singularities. 92c:13010 

Kleppe, Jan O. see Bolondi, Giorgio; et al., 92i:14032 

Kreuzer, Martin see Geramita, Anthony V.; et al., 92g:13018 

Kunz, Ernst Verallgemeinerung eines Satzes von Newton. [Generalization of a theorem of 
Newton] 92e:14045 

Maggioni, Renato see Giuffrida, Salvatore, 92g:14028 

Miré-Roig, Rosa Maria see Bolondi, Giorgio; et al., 92i:14032 

Narasimhan, M.S. see Decker, W.; et al., 92b:14022 

Robbiano, Lorenzo see Geramita, Anthony V.; et al., 92g:13018 

Schreyer, Frank-Olaf see Decker, W.; et al., 92b:14022 

Ulrich, Bernd see Herzog, Jiirgen, 92c:13010 


14M07 Low codimension problems [see also 14Cxx] 


Alzati, Alberto On the 5-normality of codimension two subvarieties of P”. 92c:14048 
— A new Castelnuovo bound for two codimensional subvarieties of P’. 92f:14050 
Fantechi, Barbara On the superadditivity of secant defects. (French summary) 92¢:14049 


Items with secondary classifications in 14M07 

Ballico, Edoardo (with Bolondi, Giorgio; Migliore, Juan Carlos) The Lazarsfeld-Rao 
problem for liaison classes of two-codimensional subschemes of P”. 92c:14047 

Beccari, Giannina (with Massaza, Carla) A scheme structure for the equivalence class of all 
the ideals in DU1 having the same degree matrix. 92e:14001 

— (with Davis, Edward D.; Massaza, Carla) Extremality with respect to the estimates of 
Dubreil-Campanella: splitting theorems. 92h:13011 

Bolondi, Giorgio see Ballico, Edoardo; et al., 92c:14047 

Braun, Robert On a geometric property of the normal bundle of surfaces in P4. 92c:14033 

Cutkosky, Steven Dale Symbolic algebras of monomial primes. 92b:13009 

Davis, Edward D. see Beccari, Giannina; et al., 92h:13011 

Gross, Mark The distribution of bidegrees of smooth surfaces in Gr(1, P®). 92j:14046 

Massaza, Carla see Beccari, Giannina, 92e:14001 and 92h:13011 

Migliore, Juan Carlos see Ballico, Edoardo; et al., 92c:14047 


14M10 Complete intersections [see also 13C40] 


Boda, Eduard (with Soléan, Stefan) A note on imperfect monomial curves in P?. (Russian 
summary) 92j:14062 

Kreuzer, Martin On 0-dimensional complete intersections. 92c:14050 

— On 0-dimensional complete intersections. 92m:14064 

Kunz, Ernst Verallgemeinerung eines Satzes von Newton. [Generalization of a theorem of 
Newton] 92e:14045 

Marchionna, Ermanno Errata-corrige: “On complete-intersection varieties” [Rend. Sem. 
Mat. Fis. Milano 58 (1988), 285-307 (1990); MR 91j:14042). (Italian) 

Soléan, Stefan see Boda, Eduard, 92j:14062 


14M_ Special varieties 


14M15 


Items with secondary classifications in 14M10 

Beccari, Giannina (with Davis, Edward D.; Massaza, Carla) Extremality with respect to the 
estimates of Dubreil-Campanella: splitting theorems. 92h:13011 

Berenstein, Carlos A. (with Yger, Alain) Bounds for the degrees in polynomial equations. 
92j:32033 

Boratytiski, M. Locally complete intersection multiple structures on smooth algebraic 
curves. 92j:14039 

Briickmann, Peter (with Rackwitz, Hans-Georg) 7-symmetrical tensor forms on complete 
intersections. 92a:14016 

Crauder, Bruce (with Katz, Sheldon H.) Cremona transformations and Hartshorne’s 
conjecture. 92f:14011 

Davis, Edward D. see Beccari, Giannina; et al., 92h:13011 

Ein, Lawrence Subvarieties of generic complete intersections. I]. 92h:14002 

Geramita, Anthony V. (with Roggero, Margherita; Valabrega, Paolo) Subcanonical curves 
with the same postulation as Q skew complete intersections in projective 3-space. (Italian 
summary) 92¢:14026 

Jaffe, David B. Smooth curves on a cone which pass through its vertex. 92i:14031 

Katz, Sheldon H. see Crauder, Bruce, 92f:14011 

Konno, Kazuhiro On the variational Torelli problem for complete intersections. 92f:14009 

Massaza, Carla see Beccari, Giannina; et al., 92h:13011 

Mohan Kumar, N. Smooth degeneration of compiete intersection curves in positive 
characteristic. 92m:14039 

Oka, Mutsuo! On the topology of full nondegenerate complete intersection variety. 
92¢:32047 

Rackwitz, Hans-Georg Symmetrische Differentialformen auf projektiven Mannig- 
faltigkeiten. (English summary) [Symmetric differential forms on projective manifolds] 
92h:14011 

— see also Briickmann, Peter, 92a:14016 

Roggero, Margherita see Geramita, Anthony V.; et al., 92e:14026 

Thoma, Apostolos On set-theoretic complete intersections in P3. 924:14023 

Valabrega, Paolo see Geramita, Anthony V.; et al., 92e:14026 

Yger, Alain see Berenstein, Carlos A., 92j:32033 


14M12 Determinantal varieties [see also 13C 40] 


Eisenbud, David (with Harris, Joseph Daniel) An intersection bound for rank | loci, with 
applications to Castelnuovo and Clifford theory. 92k:14050 

Harris, Joseph Daniel see Eisenbud, David, 92k:14050 

Kanaev, B. G. Linear systems of collineations, and determinantal distributions of planes in 
P". (Russian) 92a:14057 

Musili,C. Applications of standard monomial theory. 92j:14063 


Items with secondary classifications in 14M12 


Borcea, Ciprian On desingularized Horrocks-Mumford quintics. 92m:14050 

Geramita, Anthony V. (with Gimigliano, Alessandro) Generators for the defining ideal of 
certain rational surfaces. 92f:14031 

Gimigliano, Alessandro see Geramita, Anthony V., 92f:14031 

Kotzev, Boris V. Determinantal ideals of linear type of a generic symmetric matrix. 
92g:13015 

Laksov, Dan (with Speiser, Robert) Transversality criteria in any characteristic. 92e:14050 

Roberts, Joel (with Weyman, Jerzy) A short proof of a theorem of M. Hashimoto. 
92a:13009 

Speiser, Robert see Laksov, Dan, 92¢:14050 

Weyman, Jerzy see Roberts, Joel, 92a:13009 


14M15 Grassmannians, Schubert varieties, flag manifolds 
[see also 32M10, 51M35] 


Bressler, Paul (with Finkelberg, M.; Lunts, V.) Vanishing cycles on Grassmannians. 
92£:14051 

Carrell, James B. Vector fields, flag varieties and Schubert calculus. 92k:14051 

Finkelberg, M. see Bressler, Paul; et al., 92f:14051 

Kaneda, Masaharu A note on the Grothendieck-Cousin complex on the flag variety in 
positive characteristic. 92k:14052 7 

Lakshmibai, Venkatramani Standard monomial theory for SL,. 92f:14052 

— (with Weyman, Jerzy) Multiplicities of points on a Schubert variety in a minuscule G/P. 
92a:14058 

— (with Reshetikhin, N. Yu.) Quantum deformations of flag and Schubert schemes. (French 
summary) 92f:14053 

Lascoux, Alain Anneau de Grothendieck de la variété de drapeaux. [The Grothendieck ring 
of the flag manifold] 92j:14064 

Lunts, V. see Bressler, Paul; et al., 92f:14051 

Reshetikhin, N. Yu. see Lakshmibai, Venkatramani, 92f:14053 

Shapiro, B. Z. (with Vainshtein, A. D.) Euler characteristics for links of Schubert cells in 
the space of complete flags. 92a:14059 

Ustimenko, V. A. Fine Schubert cells as subsets in Lie algebras. (Russian) 

Vainshtein, A. D. see Shapiro, B. Z., 92a:14059 

Weyman, Jerzy see Lakshmibai, Venkatramani, 92a:14058 


Items with secondary classifications in 14M15 

Ancona, Vincenzo (with Ottaviani, Giorgio) Canonical resolutions of sheaves on Schubert 
and Brieskorn varieties. 92f:14014 

Anick, David J. (with Rota, Gian-Carlo) Higher-order syzygies for the bracket algebra and 
for the ring of coordinates of the Grassmannian. 92k:15058 

Ballico, Edoardo Points as zero loci of rank 2 spanned vector bundles. 92m:14053 

Boek, Milo’ (with Drechsler, Konrad) Morphismen von Fahnenmengen. (Russian and 
Slovak summaries) [Morphisms of flag sets] 92k:55024 

Drechsler, Konrad see Bozek, Milo’, 92k:55024 

Feigin, B. L. (with Frenkel, Edward V.) Affine Kac-Moody algebras and semi-infinite flag 
manifolds. 92f:17026 





14M15 


Flaschka, Hermann (with Haine, Luc) Torus orbits in G/P. 92¢:14047 

Frenkel, Edward V. see Feigin, B. L., 92f:17026 

Gepner, Doron Fusion rings and geometry. 92j:81271 

Gerdes, Wolfram Affine Grassmannian homology and the homology of general linear 
groups. 92i:14006 

Hain, Richard M. (with MacPherson, Robert) Higher logarithms. 92c:14016 

Haine, Luc see Flaschka, Hermann, 92¢:14047 

Kazaryan, M. E. Bifurcation of flattenings and Schubert cells. 92f:58017 

MacPherson, Robert see Hain, Richard M., 92c:14016 

Manivel, Laurent Sur la cohomologie des fibrés associés au fibré quotient universel sur la 
grassmannienne. (English summary) [On the cohomology of fiber bundles associated with 
the universal quotient bundle on the Grassmannian] 92e:14014 

Mathieu, Olivier Filtrations of G-modules. 92a:20044 

Musili, C. A note on the variety of projectors. 92g:14049 

Ottaviani, Giorgio see Ancona, Vincenzo, 92f:14014 

Panin, I. A. On algebraic K-theory of generalized flag fiber bundles and some of their 
twisted forms. 92h:19005 

Rota, Gian-Carlo see Anick, David J., 92k:15058 


14M17 Homogeneous spaces and generalizations 
[see also 32M10, 53C30, 57T15] 


Knop, Friedrich The Luna-Vust theory of spherical embeddings. 92m:14065 

Kumar, Shrawan Proof of Wahl’s conjecture on surjectivity of the Gaussian map for flag 
varieties. 92m:14066b 

Lakshmibai, Venkatramani (with Seshadri, C.S.) Standard monomial theory. 92k:14053 

Littelmann, Peter (with Procesi, Claudio) Equivariant cohomology of wonderful compacti- 
fications. 92b:14027 

Marlin, Roger Une conjecture sur les anneaux de Chow A(G, Z) renforcée par un calcul 
formel. [A conjecture on the Chow rings A(G, Z), supported by a formal calculation] 
92¢:14051 

Musili, C. A note on the variety of projectors. 92g:14049 

Panyushev, D. I. Complexity and rank of homogeneous spaces. 92¢:14046 

Procesi, Claudio see Littelmann, Peter, 92b:14027 

Seshadri, C.S. see Lakshmibai, Venkatramani, 92k:14053 

Wahl, Jonathan Gaussian maps and tensor products of irreducible representations. 
92m:14066a 


Items with secondary classifications in 14M17 

Borcea, Ciprian Homogeneous vector bundles and families of Calabi-Yau threefolds. II. 
92k:14035 

Brylinski, Ranee Kathryn Twisted ideals of the nullcone. 92e:17007 

De Mari, Filippo (with Procesi, Claudio; Shayman, Mark A.) Hessenberg varieties. 
92j:14060 

Ginzburg, V. A. Lagrangian construction of the enveloping algebra U(sl,). (French 
summary) 92c¢:17017 

Helminck, A. G. On groups with a Cartan involution. 92j:20042 

Humphreys, James E. Cohomology of line bundles on flag varieties in prime characteristic. 
92k:20084 

Kaneda, Masaharu A note on the Grothendieck-Cousin complex on the flag variety in 
positive characteristic. 92k:14052 

Kostant, Bertram (with Kumar, Shrawan) 7-equivariant K-theory of generalized flag 
varieties. 92¢:19006 

Kumar, Shrawan see Kostant, Bertram, 92c:19006 

Lin, Zong Zhu Socle series of cohomology groups of line bundles on G/B. 92m:20033 

Littelmann, Peter Good filtrations, decomposition rules and standard monomial theory. 
92g:20067 

Mathieu, Olivier Filtrations of G-modules. 92a:20044 

Panin, I. A. On algebraic K-theory of some principal homogeneous spaces. 92h:19006 

Panyushev, D. I. The canonical module of an affine normal quasihomogeneous SL}-variety. 
(Russian) 92k:14046 

Procesi, Claudio see De Mari, Filippo; et al., 92j:14060 

Schwarz, Gerald W. Differential operators and orbit spaces. (see 92d:20004) 

Shapiro, B. Z. (with Vainshtein, A. D.) Euler characteristics for links of Schubert cells in 
the space of complete flags. 92a:14059 

Shayman, Mark A. see De Mari, Filippo; et al., 92j:14060 

Uda, Toshio Quotients of complements of hyperplanes in C” by some subgroups of 
GL(n;C). 924:32044 

Vainshtein, A. D. see Shapiro, B. Z., 92a:14059 


14M20 Rational varieties 


Items with secondary classifications in 14M20 

Fischer, Paul Mannigfaltigkeiten mit fast positivem Tangentialbiindel. [Manifolds with 
almost-positive tangent bundle] 92h:14025 

Iskovskikh, V. A. A simple proof of a theorem of Gizatullin. (Russian) 92b:14006 


14M25 Toric varieties, Newton polyhedra 


Batyrev, V. V. On the classification of smooth projective toric varieties. 92j:14065 

Bryuno, A. D. (with Soleev, A.) Local uniformization of the branches of a space curve, and 
Newton polyhedra. (Russian) 92h:14036 

Ewald, Ginter (with Wessels, Uwe) On the ampleness of invertible sheaves in complete 
projective toric varieties. 92b:14028 

Flaschka, Hermann (with Haine, Luc) Torus orbits in G/P. 92¢:14047 

Gelfand, I. M. (with Kapranov, M. M.; Zelevinskii, A. V.) Newton polytopes of the 
classical resultant and discriminant. 92a:14060 

Haine, Luc see Flaschka, Hermann, 92¢:14047 

Ishida, Masa-Nori Cusp singularities given by reflections of stellable cones. 92m:14067 


ALGEBRAIC GEOMETRY 1992 254 


Kapranov, M. M. (with Sturmfels, Bernd; Zelevinskii, A. V.) Quotients of toric varieties. 
92g:14050 

— Acharacterization of A-discriminantal hypersurfaces in terms of the logarithmic Gauss 
map. 92j:14066 

— see also Gelfand, I. M.; et al., 92a:14060 

Noma, Atsushi Gorenstein toric singularities and convex polytopes. 92k:14054 

Oda, Tadao Geometry of toric varieties. 92m:14068 

— (with Park, Hye Sook) Linear Gale transforms and Gel'fand-Kapranov-Zelevinskij 
decompositions. 92d:14042 

Park, Hye Sook see Oda, Tadao, 92d:14042 

Soleev, A. see Bryuno, A. D., 92h:14036 

Sturmfels, Bernd Grébner bases of toric varieties. 92j:14067 

— see also Kapranov, M. M.; et al., 92g:14050 

Wessels, Uwe see Ewald, Ginter, 92b:14028 

Zelevinskii, A. V. see Gel/fand, I. M.; et al., 92a:14060 and Kapranov, M. M.,; et al., 
92g:14050 


Items with secondary classifications in 14M25 

Benedetti, Riccardo (with Loeser, Francois; Risler, Jean-Jacques) Bounding the number of 
connected components of a real algebraic set. 92¢:14053 

Davis, Michael Walter (with Januszkiewicz, Tadeusz) Convex polytopes, Coxeter orbifolds 
and torus actions. 92i:52012 

Fieseler, Karl-Heinz Rational intersection cohomology of projective toric varieties. 
92m:14028 

Gel’fand, I. M. (with Kapranov, M. M.; Zelevinskii, A. V.) Generalized Euler integrals and 
A-hypergeometric functions. 92e:33015 

Hibi, Takayuki Ehrhart polynomials of convex polytopes, h-vectors of simplicial complexes, 
and nonsingular projective toric varieties. 92j:52018 

Ishida, Masa-Nori The algebraic surface defined by a sum of four monomials. 92f:14041 

Januszkiewicz, Tadeusz see Davis, Michael Walter, 92i:52012 

Kapranov, M. M. see Gel'fand, I. M.; et al., 92e:33015 

Kleinschmidt, Peter (with Schwartz, Niels; Sturmfels, Bernd) Unimodular fans, linear 
codes, and toric manifolds. 92m:52022 

— (with Sturmfels, Bernd) Smooth toric varieties with small Picard number are projective. 
92a:14030 

Klyachko, A. A. Moduli of vector bundles and numbers of classes. (Russian) 92e:14007 

Loeser, Francois Fonctions d’Igusa p-adiques, polynémes de Bernstein, et polyédres 
de Newton. [p-adic Igusa functions, Bernstein polynomials and Newton polyhedra] 
92¢:11139 

— see also Benedetti, Riccardo; et al., 92e:14053 

Oda, Tadao Simple convex polytopes and the strong Lefschetz theorem. 92j:52019 

Oka, Mutsuo! On the topology of full nondegenerate complete intersection variety. 
92c:32047 

Oort, Frans Moduli of abelian varieties and Newton polygons. (French summary) 
92a:14048 

Ploski, Arkadiusz Newton polygons and the Lojasiewicz exponent of a holomorphic 
mapping of C?. 92¢:32048 

Risler, Jean-Jacques see Benedetti, Riccardo; et al., 92e:14053 

Rivero Alvarez, Margarita Equisingularity of real algebroid branched curves and the Newton 
polygon. (Spanish. English summary) (see 92b:00044) 

Schwartz, Niels see Kleinschmidt, Peter; et al., 92m:52022 

Sturmfels, Bernd see Kleinschmidt, Peter, 92a:14030 and 92m:52022 

Teissier, Bernard Mon6omes, volumes et multiplicités. [Monomials, volumes and multiplici- 
ties] 92¢:14003 

Zelevinskii, A. V. see Gel'fand, I. M.; et al., 92e:33015 


14M30 Supervarieties [see also 14A22, 32C11, 58A50] 


Bartocci, Claudio Some topics in the theory of super line bundles. 92d:14043 

Dominguez Pérez, J. A. (with Hernandez Ruipérez, Daniel; Sancho de Salas, C.) Supersym- 
metric products of SUSY-curves. 92h:14037 

Falqui, Gregorio (with Reina, Cesare) Supermoduli and superstrings. 92f:14054 

Harvey, William J. Projective and superconformal structures on surfaces. 92m:14069 

Hernandez Ruipérez, Daniel see Dominguez Pérez, J. A.; et al., 92h:14037 

Myung, Yun Soo General supermodular transformation on N = 3 super Riemann surfaces 
of genus 1. 92a:14061 

Natanzon, S. M. Klein supersurfaces. (Russian) 92i:14048 

Rabin, Jeffrey M. The algebraic geometry of super Riemann surfaces. 92i:14049 

Reina, Cesare see Falqui, Gregorio, 92f:14054 

Sancho de Salas, C. see Dominguez Pérez, J. A.; et al., 92h:14037 


Items with secondary classifications in 14M30 

Bryant, Peter R. Structure of super moduli space: a splitting theorem for ST(I). 92m:32033 

Cohn, J.D. The compactification divisor of supermoduli space and superconformal field 
theory. (see 92f:81008) 

Distler, Jacques (with Nelson, Philip) Semirigid supergravity. 92b:81171 

Dolgikh, S. N. (with Roslyi, A. A.; Schwarz, Albert) Supermoduli spaces. 92i:32005 

Duplii, S. A. N = 2 super-Riemann surfaces and conformal superfields. (Russian. English 
summary) 92f:81203 

Gates, Sylvester James, Jr. Prepotentials: a Beltrami parametrization of super Riemann 
surfaces. 92f:32011 

Giddings, Steven B. A brief introduction to super Riemann surface theory. 92a:32012 

— Punctures on super Riemann surfaces. 92j:32022 

Jue, Changkeun see Myung, Yun Soo, 92i:81302 

Kholod, P. I. (with Pakulyak, S. Z.) On the superextension of the Kadomtsev-Petviashvili 
equation and finite-gap solutions of Korteweg-de Vries superequations. 92b:58094 

LeBrun, Claude (with Poon, Yat Sun; Wells, R. O., Jr.) Projective embeddings of complex 
supermanifolds. 92f:32012 

Leites, D. A. (with Serganova, V. V.) Models of representations of some classical 
supergroups. 92j:17001 





255 1992 


Manin, Yu. I. * Topics in noncommutative geometry. 92k:58024 

Maulase, Motohico A new super KP system and a characterization of the Jacobians of 
arbitrary algebraic super curves. 92k:14028 

Myung, Yun Soo N = 2 supermodular transformation on supertorus. 92d:32013 

— (with Jue, Changkeun) Partition function for N = 1, c = 3/2 superconformal model on 
the supertorus with two punctures. 92i:81302 

Nelson, Philip see Distler, Jacques, 92b:81171 

Pakulyak, S. Z. see Kholod, P. I., 92b:58094 

Poon, Yat Sun see LeBrun, Claude; et al., 92f:32012 

Rabin, Jeffrey M. Krichever construction of solutions to the super KP hierarchies. 
925:58053 

Roslyi, A. A. see Dolgikh, S. N.; et al., 92i1:32005 

Schwarz, Albert see Dolgikh, S. N.; et al., 92i:32005 

Serganova, V. V. see Leites, D. A., 92j:17001 

Takahasi, Wataru Super-quasi-conformal transformation and Schiffer variation on super- 
Riemann surface. 92f:32013 

Takama, Michiaki Super Beltrami differentials. 92k:32015 

Wells, R. O., Jr. see LeBrun, Claude; et al., 92f:32012 

Zachos, Cosmas K. Fermionic center in the superconformal algebra on the supertorus. 
92e:17041 


14M99 None of the above, but in this section 


Blanchet, Altha Function fields of generalized Brauer-Severi varieties. 92c:14052 
Strickland, Elisabetta An algorithm related to compactifications of adjoint groups. 
92h:14038 


Items with secondary classifications in 14M99 


Bass, Hyman Linearization problems on affine varieties. 92g:14001 

Bokowski, Jiirgen (with Guedes de Oliveira, Anténio; Richter-Gebert, Jiirgen) Algebraic 
varieties characterizing matroids and oriented matroids. 92d:52032 

Guedes de Oliveira, Anténio see Bokowski, Jiirgen; et al., 92d:52032 

Le Ty Kuok Tkhang Varieties of representations and their subvarieties of homology jumps 
for certain knot groups. (Russian) 92k:20078 

Mason, Geoffrey Varieties attached to an SL;(2*)-module. 92m:20036 

Richter-Gebert, Jiirgen see Bokowski, Jiirgen; et al., 92d:52032 

Schofield, Aidan (with Van den Bergh, Michel) The index of a Brauer class on a Brauer- 
Severi variety. 92m:12003 

Van den Bergh, Michel see Schofield, Aidan, 92m:12003 


14Nxx Classical methods and problems [see also 51-XX] 


14N05 Projective techniques [see also 51N35] 


Jelonek, Zbigniew A note on the Pascal theorem and automorphism of conics. 92i:14050 
Kleiman, Steven L. Multiple tangents of smooth plane curves (after Kaji). 92¢:14048 


Items with secondary classifications in 14N05 

Avritzer, D. (with Vainsencher, Israel) Hilb*P?. 92b:14003 

Bertram, Aaron (with Ein, Lawrence; Lazarsfeld, Robert) Vanishing theorems, a theorem of 
Severi, and the equations defining projective varieties. 92g:14014 

Ein, Lawrence see Bertram, Aaron; et al., 92g:14014 

Fantechi, Barbara On the superadditivity of secant defects. (French summary) 92c:14049 

Kanaev, B. G. Linear systems of collineations, and determinantal distributions of planes in 
P". (Russian) 92a:14057 

Lazarsfeld, Robert see Bertram, Aaron; et al., 92g:14014 

Lorentz, George G. (with Lorentz, Rudolph Alexander) Bivariate Hermite interpolation 
and applications to algebraic geometry. 92f:41004 

Lorentz, Rudolph Alexander see Lorentz, George G., 92f:41004 

Mallavibarrena, Raquel (with Piene, Ragni) Duality for elliptic normal surface scrolls. 
92m:14071 

Piene, Ragni see Mallavibarrena, Raquel, 92m:14071 

Ran, Ziv Absence of the Veronese from smooth threefolds in P. 92j:14051 

— The (dimension +2)-secant lemma. 92j:14055 

Renschuch, Bodo (with Vogel, Wolfgang) Perfektheit und die Umkehrung des Bezoutschen 
Satzes. [Perfectness, and the converse of Bezout’s theorem] 92j:13018 

Speiser, Robert Limits of conormal schemes. 92f:14005 

Vainsencher, Israel see Avritzer, D., 92b:14003 

Vogel, Wolfgang see Renschuch, Bodo, 92j:13018 


14N10 Enumerative problems (combinatorial problems) 


Aluffi, Paolo Some characteristic numbers for nodal and cuspidal plane curves of any 
degree. 92m:14070 

— The enumerative geometry of plane cubics. II. Nodal and cuspidal cubics. 92f:14055 

— Two characteristic numbers for smooth plane curves of any degree. 92¢:14049 

Colley, Susan Jane (with Kennedy, Gary) A higher-order contact formula for plane curves. 
92:14056 

Drechsler, Konrad (with Sterz, Ulrich) The intersection rings of the conic varieties. 
92g:14051 

Kennedy, Gary see Colley, Susan Jane, 92f:14056 

Kleiman, Steven L. Multiple-point formulas. II. The Hilbert scheme. 92a:14062 

— (with Speiser, Robert) Enumerative geometry of nonsingular plane cubics. 92f:14057 

Laksov, Dan (with Speiser, Robert) Transversality criteria in any characteristic. 92e:14050 

Mallavibarrena, Raquel (with Piene, Ragni) Duality for elliptic normal surface scrolls. 
92m:14071 

Pellikaan, Ruud On complete conditions in enumerative geometry. 92k:14055 

Piene, Ragni see Mallavibarrena, Raquel, 92m:14071 

Procesi, Claudio (with Xambé-Descamps, S.) On Halphen’s first formula. 92k:14056 


14P Real algebraic and real analytic geometry 


Speiser, Robert see Laksov, Dan, 92e:14050 and Kleiman, Steven L., 92f:14057 
Sterz, Ulrich see Drechsler, Konrad, 92g:14051 

Vainsencher, Israel Elliptic quartic curves in a generic quintic threefold. 92k:14057 
Xamb6-Descamps, S. see Procesi, Claudio, 92k:14056 


Items with secondary classifications in 14N10 


van Gastel, Leendert J. Excess intersections and a correspondence principle. 92c:14005 

Kleiman, Steven L. Multiple tangents of smooth plane curves (after Kaji). 92¢:14048 

— see also Enumerative algebraic geometry, 92g:14002 

Laksov, Dan (with Thorup, Anders) The Brill-Segre formula for families of curves. 
92k:14029 

Thorup, Anders see Laksov, Dan, 92k:14029 and Enumerative algebraic geometry, 92g:14002 

(Zeuthen, Hieronymous Georg) see Enumerative algebraic geometry, 92g:14002 


Items listed otherwise than by author 


Copenhagen * Enumerative algebraic geometry. 92g:14002 
Enumerative algebraic geometry * Enumerative algebraic geometry. 92g:14002 
Symposium: 

Zeuthen, Hieronymous Georg * Enumerative algebraic geometry. 92g:14002 


14N99 None of the above, but in this section 


Items with secondary classifications in 14N99 

Abhyankar, Shreeram S. (with Morin, T. L.; Trafalis, T. B.) Efficient faces of polytopes: 
interior point algorithms, parameterization of algebraic varieties, and multiple objective 
optimization. 92g:90134 

Galligo, André Exemples d’ensembles de points en position uniforme. [Examples of sets of 
points in uniform position] 92c:13024 

Morin, T. L. see Abhyankar, Shreeram S.; et al., 92g:90134 

Trafalis, T. B. see Abhyankar, Shreeram S.; et al., 92g:90134 


14Pxx Real algebraic and real analytic geometry 


Items listed otherwise than by author 

Conference: 
Real Algebraic Geometry * De la géométrie algébrique réelle. (French) [On real algebraic 

geometry] 92m:14072 

Géométrie algébrique réelle * De la géométrie algébrique réelle. (French) [On real algebraic 
geometry] 92m:14072 

Paris * De la géométrie algébrique réelle. (French) [On real algebraic geometry] 
92m:14072 

Real algebraic geometry * De la géométrie algébrique réelle. (French) [On real algebraic 
geometry] 92m:14072 


Items with secondary classifications in 14Pxx 


Sinaceur, Hourya Préhistoire de la géométrie algébrique réelle: de Descartes a Tarski. 
[Prehistory of real algebraic geometry: from Descartes to Tarski] (see 92m:14072) 


14P05 Real algebraic sets [see also 12Dxx] 


Bochnak, Jacek (with Kucharz, Wojciech) Nonisomorphic algebraic models of a smooth 
manifold. 92c:14053 

Dedieu, Jean-Pierre (with Yakoubsohn, Jean-Claude) Localisation d’une variété algébrique 
réelle par l’algorithme d’exclusion. (English summary) [Localization of a real algebraic 
hypersurface by the exclusion algorithm] 92b:14029 

Khovanskii, A.G. * Fewnomials. 92h:14039 

Kucharz, Wojciech see Bochnak, Jacek, 92c:14053 

Richardson, Daniel Wu’s method and the Khovanskii finiteness theorem. 92m:14073 

Roy, Marie-Francoise Introduction a la géométrie algébrique réelle. [Introduction to real 
algebraic geometry] (see 92m:14072) 

Yakoubsohn, Jean-Claude see Dedieu, Jean-Pierre, 92b:14029 

(Zdravkovska, Smilka) see Khovanskii, A. G., 92h:14039 


Items with secondary classifications in 14P05 

Akbulut, Selman (with King, Henry Churchill) All compact manifolds are homeomorphic 
to totally algebraic real algebraic sets. 92c:14056 

Becker, Eberhard Sums of squares and quadratic forms in real algebraic geometry. (see 
92m:14072) 

Benedetti, Riccardo (with Loeser, Francois; Risler, Jean-Jacques) Bounding the number of 
connected components of a real algebraic set. 92e:14053 

Huber, Roland Spezialisierungen im reellen Spektrum zu einer komplexen Varietat. (English 
summary) [Specializations in the real spectrum for a complex variety] 92i:14002 

King, Henry Churchill see Akbulut, Selman, 92c:14056 

Loeser, Francois see Benedetti, Riccardo; et al., 92e:14053 

Marshall, Murray Orderings and real places on commutative rings. 92g:13030 

Olazabal, J. M. REDUCE procedures to compute the minimum polynomial of a codified 
real algebraic number. (see 92b:00044) 

Procesi, Claudio (with Schwarz, Gerald W.) Defining orbit spaces by inequalities. 
92e:22031 

Recio Muiiiz, Tomas J. Specializing the conditions for the existence of real roots. 92a:11024 

Risler, Jean-Jacques see Benedetti, Riccardo; et al., 92e:14053 

Schwarz, Gerald W. see Procesi, Claudio, 92e:22031 


14P10 Semialgebraic sets and related spaces 


Benedetti, Riccardo (with Shiota, Masahiro) Finiteness of semialgebraic types of polyno- 
mial functions. 92j:14068 

Charbonnel, Jean-Yves Sur certains sous-ensembles de l’espace euclidien. (English 
summary) [On certain subsets in Euclidean space] 92m:14074 





14P10 


Cucker, Felipe Fonctions semi-algébriques sur le spectre réel d’un anneau. [Semi-algebraic 
functions on the real spectrum of a ring] 92i:14051 

Fortuna, E. (with Galbiati, M.) Une note sur la présentation des semi-algébriques de base. 
(English summary) [A note on the presentation of basic semi-algebraic sets] 92d:14044 

— Distributions de signes. [Distributions of signs] 92m:14075 

Galbiati, M. see Fortuna, E., 92d:14044 

Gamboa, José M. (with Ruiz, Jesis M.) On rings of semialgebraic functions. 92f:14058 

Grigor’ev, D. Yu. (with Heintz, Joos; Roy, Marie-Frangoise; Solernd, Pablo; Vorob’ev, N. 
N., Jr.) Comptage des composantes connexes d’un ensemble semi-algébrique en temps 
simpiement exponentiel. (English summary) [Counting connected components of a semi- 
algebraic set in single exponential time] 92d:14045 

— see also Vorob‘ev, N. N., Jr., 92£:14059 

Heintz, Joos see Grigor’ev, D. Yu.; et al., 92d:14045 

Lion, Jean-Marie (with Roche, Claude André; Rolin, Jean-Philippe) Variétés de Rolle de 
formes algébriques. (English summary) [Rolle manifolds of algebraic forms] 92c:14054 

Miranda, I. (with Recio Mufiz, Tomas J.) Thom’s lemma in real geometry. 92a:14063 

Recio Muiiz, Tomas J. see Miranda, I., 92a:14063 

Roche, Claude André see Lion, Jean-Marie; et al., 92c:14054 

Rolin, Jean-Philippe see Lion, Jean-Marie; et al., 92c:14054 

Roy, Marie-Francoise see Grigor’ev, D. Yu.; et al., 92d:14045 

Ruiz, Jestis M. Semialgebraic and semianalytic sets. (see 92m:14072) 

— see also Gamboa, José M., 92f:14058 

Schwartz, Niels Inverse real closed spaces. 92m:14076 

Shiota, Masahiro see Benedetti, Riccardo, 92j:14068 

Solern6, Pablo see Grigor'ev, D. Yu.; et al., 92d:14045 

Stengle, Gilbert Algebraic theory of differential inequalities. 92h:14040 

Vorob‘ev, N. N., Jr. (with Grigor’ev, D. Yu.) Determination of the number of connected 
components of a semi-algebraic set in subexponential time. (Russian) 92f:14059 

— see also Grigor'ev, D. Yu.; et al., 92d:14045 


Items with secondary classifications in 14P10 

Alonso, Maria Emilia (with Raimondo, Mario) The computation of the topology of a 
planar semi-algebraic set. 92e:14051 

Barvinok, A. I. (with Vershik, A.M.) Polynomially computable approximation of families 
of semi-algebraic sets, and combinatorial complexity. (Russian) 92:14065 

Benedetti, Riccardo On lack of effectiveness in semi-algebraic geometry. 92d:14048 

Chazelle, Bernard (with Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha) 
A singly-exponential stratification scheme for real semi-algebraic varieties and its 
applications. 92j:14073 

Edelsbrunner, Herbert see Chazelle, Bernard; et al., 92j:14073 

Fitchas, Noai (with Galligo, André; Morgenstern, Jacques) Algorithmes rapides en 
sequentiel et en paralléle pour !’élimination des quantificateurs en géométrie élémentaire. 
[Fast sequential and parallel algorithms for quantifier elimination in elementary 
geometry] 92h:12010 

Galligo, André see Fitchas, Noai; et al., 92h:12010 

Grigor’ev, D. Yu. see Vorob’ev, N. N., Jr., 92g:03019 

Guibas, Leonidas J. see Chazelle, Bernard; et al., 92j:14073 

Heintz, Joos (with Roy, Marie-Francoise; Solern6, Pablo) Single exponential path finding 
in semialgebraic sets. I. The case of a regular bounded hypersurface. 92j:14072 

— (with Roy, Marie-Francoise; Solerné, Pablo) Description des composantes connexes 
d’un ensemble semi-algébrique en temps simplement exponentiel. (English summary) 
[Description of the connected components of a semi-algebraic set in single exponential 
time] 92f:14062 

Morgenstern, Jacques see Fitchas, Noai; et al., 92h:12010 

Raimondo, Mario see Alonso, Maria Emilia, 92e:14051 

Robson, Robert O. Separating points from closed convex sets over ordered fields and a 
metric for R". 92b:12013 

Roy, Marie-Frangoise see Heintz, Joos; et al., 92f:14062 and 92j:14072 

Schmiidgen, Konrad The K-moment problem for compact semi-algebraic sets. 92b:44011 

Schwartz, Niels Compactification of varieties. 92i:14022 

Sharir, Micha see Chazelle, Bernard; et al., 92j:14073 

Solerné, Pablo see Heintz, Joos; et al., 92f:14062 and 92j:14072 

Trotman, David On Canny’s roadmap algorithm: orienteering in semialgebraic sets (an 
application of singularity theory to theoretical robotics). 92k:58014 

Vershik, A.M. On topological questions of real complexity theory and combinatorial 
optimization [in Topological and geometric methods of analysis (Russian), 58-74, 
Voronezh. Gos. Univ., Voronezh, 1989; 91j:52001]. (see 92b:58001) 

— see also Barvinok, A. I., 92f:14065 

Vorob’ev, N. N., Jr. (with Grigor'ev, D. Yu.) Determination of the connectivity components 
of a semi-algebraic set in subexponential time. (Russian. English summary) 92g:03019 


14P15 Real analytic and semianalytic sets [see also 32B20, 
32C05] 


Andradas, C. (with Becker, Eberhard) A note on the real spectrum of analytic functions on 
an analytic manifold of dimension one. 92c:14055 
Becker, Eberhard see Andradas, C., 92c:14055 


Items with secondary classifications in 14P15 

Lion, Jean-Marie (with Roche, Claude André; Rolin, Jean-Philippe) Variétés de Rolle de 
formes algébriques. (English summary) [Rolle manifolds of algebraic forms] 92c:14054 

Roche, Claude André see Lion, Jean-Marie; et al., 92c:14054 

Rolin, Jean-Philippe see Lion, Jean-Marie; et al., 92c:14054 

Ruiz, Jestis M. Semialgebraic and semianalytic sets. (see 92m:14072) 


14P20 Nash functions and manifolds [see also 32C07, 58A07] 


Beretta, Lucia Some remarks about the tubular neighbourhood of singular varieties. (Italian 
summary) 92f:14060 


ALGEBRAIC GEOMETRY 


Items with secondary classifications in 14P20 

Benedetti, Riccardo On 3-manifolds up to blowing-up. 92j:57008 

Tancredi, A. (with Tognoli, A.) On the extension of Nash functions. 92c¢:32011 
Tognoli, A. see Tancredi, A., 92c:32011 


14P25 Topology of real algebraic varieties 


Akbulut, Selman (with King, Henry Churchill) All compact manifolds are homeomorphic 
to totally algebraic real algebraic sets. 92c:14056 

Alonso, Maria Emilia (with Raimondo, Mario) The computation of the topology of a 
planar semi-algebraic set. 92e:14051 

Ballico, Edoardo An addendum on: “Algebraic models of smooth manifolds” [Invent. Math. 
97 (1989), no. 3, 585-611; MR 91b:14076] by J. Bochnak and W. Kucharz. 92e:14052 

Benedetti, Riccardo (with Loeser, Francois; Risler, Jean-Jacques) Bounding the number of 
connected components of a real algebraic set. 92e:14053 

Bochnak, Jacek (with Kucharz, Wojciech) On polynomial mappings into spheres. 
92¢:14054 

— see also Ballico, Edoardo, 92e:14052 

Bruce, J. W. Euler characteristics of real varieties. 92c:14057 

Kalinin, I.O. Cohomological characteristics of real projective hypersurfaces. (Russian) 
92j:14069 

King, Henry Churchill see Akbulut, Selman, 92c:14056 

Korchagin, A. B. Curves of degree 9: unrealizability of 12 types [translation of Methods 
of the qualitative theory of differential equations (Russian), 72-76, Gor’kov. Gos. Univ., 
Gorki, 1985]. 92g:14052 

Kucharz, Wojciech see Bochnak, Jacek, 92e:14054 and Ballico, Edoardo, 92e:14052 

Loeser, Francois see Benedetti, Riccardo; et al., 92e:14053 

Nabutovsky, Alexander Smoothing of real algebraic hypersurfaces by rigid isotopies. 
(French summary) 92j:14070 

Pignoni, Roberto Curves and surfaces in real projective spaces: an approach to generic 
projections. 92e:14055 

Raimondo, Mario see Alonso, Maria Emilia, 92e:14051 

Risler, Jean-Jacques Géométrie algébrique réelle et composantes connexes. [Real algebraic 
geometry and connected components] (see 92m:14072) 

— see also Benedetti, Riccardo; et al., 92e:14053 

Sakkalis, Takis The topological configuration of a real algebraic curve. 92e:14056 

Shustin, E.’ New restrictions on the topology of real curves with degree divisible by 8. 
(Russian) 92a:14064 

Szafraniec, Zbigniew On the Euler characteristic mod 2 of real projective hypersurfaces. 
(Russian summary) 92d:14046 


Items with secondary classifications in 14P25 


Benedetti, Riccardo On lack of effectiveness in semi-algebraic geometry. 92d:14048 
Roy, Marie-Francoise Computation of the topology of a real curve. 92g:14054 


14P99 None of the above, but in this section 


Bochnak, Jacek (with Kucharz, Wojciech) Polynomial mappings from products of 
algebraic sets into spheres. 92g:14053 

Kucharz, Wojciech see Bochnak, Jacek, 92g:14053 

Ortega, Jesus J. On the Pythagoras number of a real irreducible algebroid curve. 92a:14065 

Parimala, R. (with Sujatha, R.) Levels of nonreal function fields of real rational surfaces. 
92j:14071 

Sujatha, R. see Parimala, R., 92j:14071 


Items with secondary classifications in 14P99 
Chou, Shang-Ching see Gao, Xiao Shan, 92m:14077 


Gao, Xiao Shan (with Chou, Shang-Ching) On the normal parameterization of curves and 
surfaces. 92m:14077 


Gondard-Cozette, Danielle Chainable fields and real algebraic geometry. 92f:12015 


Robson, Robert O. Separating points from closed convex sets over ordered fields and a 
metric for R". 92b:12013 


14Qxx Computational aspects in algebraic geometry 
[see also 12-04, 68Q40] 


14Q05 Curves 


Chou, Shang-Ching see Gao, Xiao Shan, 92m:14077 


Gao, Xiao Shan (with Chou, Shang-Ching) On the normal parameterization of curves and 
surfaces. 92m:14077 

Niki, Naoto see Takahashi, Tadashi, 92g:14055 

Orecchia, Ferruccio (with Ramella, Isabella) On the computation of the conductor of an 
affine algebraic curve. 92¢:14057 

Ramella, Isabella see Orecchia, Ferruccio, 92e:14057 

Roy, Marie-Frangoise Computation of the topology of a real curve. 92g:14054 

Takahashi, Tadashi (with Niki, Naoto) * Use of algebra system for existence problem of 
solutions. 92g:14055 


Items with secondary classifications in 14Q05 

Chadzyniski, Jacek (with Krasinski, Tadeusz) On a formula for the geometric degree and 
Jung’s theorem. 92m:14022b 

Kalkbrener, Michael Implicitization of rational parametric curves and surfaces. 92f:14061 

Krasiriski, Tadeusz see Chadzynski, Jacek, 92m:14022b 

Ploski, Arkadiusz Bezout’s theorem for affine curves with one branch at infinity. 
92m:14022a 





257 1992 


14Q10 Surfaces, hypersurfaces 


Heintz, Joos (with Roy, Marie-Francoise; Solerné, Pablo) Single exponential path finding 
in semialgebraic sets. I. The case of a regular bounded hypersurface. 92j:14072 

Kalkbrener, Michael Implicitization of rational parametric curves and surfaces. 92f:14061 

Roy, Marie-Francoise see Heintz, Joos; et al., 92j:14072 

Solerné, Pablo see Heintz, Joos; et al., 92j:14072 


Items with secondary classifications in 14Q10 

Dedieu, Jean-Pierre (with Yakoubsohn, Jean-Claude) Localisation d’une variété algébrique 
réelle par l’algorithme d’exclusion. (English summary) [Localization of a real algebraic 
hypersurface by the exclusion algorithm] 92b:14029 

Yakoubsohn, Jean-Claude see Dedieu, Jean-Pierre, 92b:14029 


14Q15 Higher-dimensional varieties 


Caniglia, Léandro (with Galligo, André; Heintz, Joos) Equations for the projective closure 
and effective Nullstellensatz. 92k:14058 

Chazelle, Bernard (with Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, Micha) 
A singly-exponential stratification scheme for real semi-algebraic varieties and its 
applications. 92j:14073 

Edelsbrunner, Herbert see Chazelle, Bernard; et al., 92j:14073 

Galligo, André see Caniglia, Léandro; et al., 92k:14058 

Giusti, Mare (with Heintz, Joos) Algorithmes—disons rapides—pour la décomposition 
d’une variété algébrique en composantes irréductibles et équidimensionnelles. (“Fast” al- 
gorithms for the decomposition of an algebraic variety into irreducible and equidimen- 
sional components] 92d:14047 

Guibas, Leonidas J. see Chazelle, Bernard; et al., 92j:14073 

Heintz, Joos (with Roy, Marie-Francoise; Solerné, Pablo) Description des composantes 
connexes d’un ensemble semi-algébrique en temps simplement exponentiel. (English 
summary) [Description of the connected components of a semi-algebraic set in single 
exponential time] 92f:14062 

— see also Giusti, Marc, 92d:14047 and Caniglia, Léandro; et al., 92k:14058 

Pfister, Gerhard The tangent cone algorithm and some applications to local algebraic 
geometry. 92f:14063 

Roy, Marie-Francoise see Heintz, Joos; et al., 92f:14062 

Sharir, Micha see Chazelle, Bernard; et al., 92j:14073 

Solerné, Pablo see Heintz, Joos; et al., 92f:14062 

Wu, Wen Jun On a projection theorem of quasi-varieties in elimination theory. 92c:14058 


Items with secondary classifications in 14Q15 

Mora, Teo La queste del Saint Gr,( AL): a computational approach to local algebra. 
92j:13028 

Stillman, Mike Methods for computing in algebraic geometry and commutative algebra. 
92b:13044 


14Q20 Effectivity 


Benedetti, Riccardo On lack of effectiveness in semi-algebraic geometry. 92d:14048 

Gallo, Giovanni (with Mishra, Bhubaneswar) Efficient algorithms and bounds for Wu-Ritt 
characteristic sets. 92e:14058 

Mishra, Bhubaneswar see Gallo, Giovanni, 92e:14058 

Richardson, Daniel Finding roots of equations involving functions defined by first order 
algebraic differential equations. 92f:14064 

Roy, Marie-Francoise (with Szpirglas, Aviva) Sign determination on zero-dimensional sets. 
92e:14059 

Szpirglas, Aviva see Roy, Marie-Francoise, 92¢:14059 


Items with secondary classifications in 14Q20 

Berenstein, Carlos A. (with Struppa, Daniele Carlo) Recent improvements in the complex- 
ity of the effective Nullstellensatz. 92m:13024 

Bermejo Diaz, Isabel Upper bound for the degrees of a standard basis of a Cohen-Macaulay 
variety of projective dimension zero with respect to lexicographic order. (Spanish. English 
summary) (see 92b:00044) 

Dickenstein, Alicia M. (with Sessa, Carmen) Duality methods for the membership 
problem. 92m:13021 

Sessa, Carmen see Dickenstein, Alicia M., 92m:13021 

Struppa, Daniele Carlo see Berenstein, Carlos A., 92m:13024 

Teissier, Bernard Résultats récents d’algebre commutative effective. [Recent results in 
effective commutative algebra] 92e:13015 


14Q99 None of the above, but in this section 


Barvinok, A. 1. (with Vershik, A.M.) Polynomially computable approximation of families 
of semi-algebraic sets, and combinatorial complexity. (Russian) 921:14065 

Gerdt, V. P. (with Tiller, P.) * A Reduce program for symbolic computation of Puiseux 
expansions. 92i:14052 

Mourrain, Bernard Géométrie et interprétations génériques: un algorithme. (English 
summary) [Geometry and generic interpretations: an algorithm] 92d:14049 

Sturmfels, Bernd Computational algebraic geometry of projective configurations. 
92k:14059 

Tiller, P. see Gerdt, V. P., 92i:14052 

Vershik, A. M. see Barvinok, A. I., 92f:14065 

Wu, Wen Jun On the foundation of algebraic differential geometry. 92j:14074 


Items with secondary classifications in 14Q99 

Caniglia, Léandro (with Galligo, André; Heintz, Joos) Equations for the projective closure 
and effective Nullstellensatz. 92k:14058 

Galligo, André see Caniglia, Léandro; et al., 92k:14058 

Grigor’ev, D. Yu. (with Heintz, Joos; Roy, Marie-Frangoise; Solerné, Pablo; Vorob’ev, N. 
N., Jr.) Comptage des composantes connexes d’un ensemble semi-algébrique en temps 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


15-02 


simplement exponentiel. (English summary) [Counting connected components of a semi- 
algebraic set in single exponential time] 924:14045 

— see also Vorob/ev, N. N., Jr., 92f:14059 

Heintz, Joos see Grigor’ev, D. Yu.; et al., 92d:14045 and Caniglia, Léandro; et al., 92k:14058 

Roy, Marie-Frangoise see Grigor'ev, D. Yu.; et al., 92d:14045 

Solerné, Pablo see Grigor’ev, D. Yu.; et al., 92d:14045 

Trotman, David On Canny’s roadmap algorithm: orienteering in semialgebraic sets (an 
application of singularity theory to theoretical robotics). 92k:58014 

Vorob’ev, N. N., Jr. (with Grigor'ev, D. Yu.) Determination of the number of connected 
components of a semi-algebraic set in subexponential time. (Russian) 92f:14059 

— Deciding consistency of systems of polynomial in exponent inequalities in subexponential 
time. 92h:12012 

— see also Grigor’ev, D. Yu.; et al., 92d:14045 


15-XX_ Linear and multilinear algebra; matrix 
theory (finite and infinite) 


Zhang, Yao Properties of generalized diagonal product dominant matrices. II. (Chinese. 
English summary) 


Items with secondary classifications in 15-XX 


Karadzhov, Georgi E. Spectral asymptotics for Toeplitz matrices generated by the Poisson- 
Charlier polynomials. 


15-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Abeasis, Silvana * Algebra lineare e geometria. (Italian) [Linear algebra and geometry] 
92e:15001 

Barnett, Stephen * Matrices. 92d:15001 

Brown, William C. * Matrices and vector spaces. 92b:15001 

Deif, Assem S. * Advanced matrix theory for scientists and engineers. 92k:15001 

Gelbaum, Bernard R. * Linear algebra. 92c:15001 

Halmos, Paul R. * Matrices I have met. 92¢:15002 

Hochwald, Scott H. Linear algebra by analogy. 92k:15002 

Lewis, David W. * Matrix theory. 92k:15003 

Martin, Isabel see Rojo Garcia, Jestis 

Rizzi, Alfredo * II linguaggio delle matrici. (Italian) [The language of matrices] 

Robinson, Derek J.S. * A course in linear algebra with applications. 92k:15004 

Rojo Garcia, Jestis (with Martin, Isabel) * Ejercicios y problemas de algebra lineal. 
(Spanish) [Exercises and problems of linear algebra] 

Rudolph, Lee The structure of orthogonal transformations. 92b:15002 


Items listed otherwise than by author 
Problems: 
Linear algebra see Rojo Garcia, Jestis 


Items with secondary classifications in 15-01 

Artin, Michael * Algebra. 92g:00001 

Bican, Ladislav see Prochazka, Ladislav; et al., 92i:00003 

Fan, Ky Some aspects of the development of linear algebra in the last sixty years. 92k:15005 

Heise, Werner (with Sérensen, Kay) Was Sie schon immer iiber affine Punktraume wissen 
wollten oder Keine Angst vor Translationen. (English summary) [Everything you always 
wanted to know about affine point spaces or Don’t be afraid of translations] 92k:51032 

Horn, Roger A. (with Johnson, Charles Royal) * Topics in matrix analysis. 92e:15003 

Johnson, Charles Royal see Horn, Roger A., 92¢:15003 

Kepka, Toma see Prochazka, Ladislav; et al., 92i:00003 

Némec, Petr see Prochazka, Ladislav; et al., 92i:00003 

Ostaszewski, Adam * Advanced mathematical methods. 92b:00005 

Pasini, Antonio * Complementi di algebra e geometria. (Italian) [Complements of algebra 
and geometry] 92a:00011 

Prochazka, Ladislav (with Bican, Ladislav; Kepka, Tomas; Némec, Petr) * Algebra. 
(Czech) 92i:00003 

Smirnov, Vladimir Ivanovich * Lehrgang der hOheren Mathematik. Teil III/1. (German) 
[Course in higher mathematics. Part III/1] 92i:00004 

Sérensen, Kay see Heise, Werner, 92k:51032 

Storch, Uwe (with Wiebe, Hartmut) * Lehrbuch der Mathematik fiir Mathematiker, Infor- 
matiker und Physiker. Band II. (German) [Textbook of mathematics for mathematicians, 
information scientists and physicists. Vol. II] 92k:00013 

Thompson, Robert C. High, low, and quantitative roads in linear algebra. 92k:15006 

Wiebe, Hartmut see Storch, Uwe, 92k:00013 


15-02 Research exposition (monographs, survey articles) 

Brualdi, Richard A. The many facets of combinatorial matrix theory. (see 92a:15001) 

Diaconis, Persi Patterned matrices. (see 92a:15001) 

Fiedler, Miroslav * Special matrices and their applications in numerical mathematics. 
92b:15003 

Horn, Roger A. The Hadamard product. (see 92a:15001) 

— (with Johnson, Charles Royal) * Topics in matrix analysis. 92e:15003 

Johnson, Charles Royal Matrix completion problems: a survey. (see 92a:15001) 

— see also Horn, Roger A., 92e:15003 and Matrix theory and applications, 92a:15001 

Mukherjea, Arunava The role of nonnegative idempotent matrices in certain problems in 
probability. (see 92a:15001) 

Olkin, Ingram Interface between statistics and linear algebra. (see 92a:15001) 





15-02 


(Ptikryl, Petr) see Fiedler, Miroslav, 92b:15003 
(Segeth, Karel) see Fiedler, Miroslav, 92b:15003 


Items listed otherwise than by author 
Matrix theory and applications * Matrix theory and applications. 92a:15001 
Phoenix, AZ * Matrix theory and applications. 92a:15001 


Proceedings of Symposia in Applied Mathematics * Matrix theory and applications. 
92a:15001 


Items with secondary classifications in 15-02 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) Tangential interpolation problems 
for rational matrix functions. (see 92a:15001) 

Barnett, Stephen * Matrices. 92d:15001 

Campbell, Stephen L. (with Meyer, C. D., Jr.) * Generalized inverses of linear transforma- 
tions. 92a:15003 

Gohberg, Israel see Ball, Joseph A.; et al., (92a:15001) 

Meyer, C. D., Jr. see Campbell, Stephen L., 92a:15003 

Rodman, Leiba see Ball, Joseph A.; et al., (92a:15001) 


15-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Fan, Ky Some aspects of the development of linear algebra in the last sixty years. 92k:15005 
Thompson, Robert C. High, low, and quantitative roads in linear algebra. 92k:15006 


Items with secondary classifications in 15-03 

Gordienko, N. A. The concept of “fraction” in H. Grassmann’s Die Ausdehnungslehre and 
its connection with contemporary linear algebra. (Russian) 92g:01039 

(Grassmann, Hermann) see Gordienko, N. A., 92g:01039 

Malykh, A. E. Development of the general theory of determinants up to the beginning of the 
nineteenth century. (Russian) 92¢:01039 


15-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Bojaticzyk, Adam W. (with Lutoborski, Adam) Computation of the Euler angles of a 
symmetric 3 x 3 matrix. 92e:15004 
Latoborski, Adam see Bojariczyk, Adam W., 92e:15004 


Items with secondary classifications in 15-04 

Afifi, M.S. see El-Azhary, 1.; et al., 92j:65033 

Al-Turaigi, M. A. see El-Azhary, L.; et al., 92j:65033 

Constantinescu, Tiberiu Schur analysis for invertible matrices. 92f:15002 

El-Azhary, I. (with Afifi, M. S.; Al-Turaigi, M. A.; Excell, P. S.) Transputers for solving any 
system of linear equations. 92j:65033 

Excell, P.S. see El-Azhary, L.; et al., 92j:65033 

Kwong, Man Kam (with Zettl, Anton) Norm inequalities for the powers of a matrix. 
92¢:15027 

Larin, V. B. Determination of a square root of a positive definite matrix. (Russian) 
92m:15003 

Zettl, Anton see Kwong, Man Kam, 92c:15027 


15-06 Proceedings, conferences, collections, etc. 


Berman, Abraham (with Goldberg, Moshe; Hershkowitz, Daniel) Report: Haifa 1990 
Conference on Matrix Theory. 92m:15001 

— see also Conference: Matrix Theory, 92k:15007 

(Bri, Rafael) see Meeting: Matrix Analysis and Applications 

(Carlson, David H.) see Directions in matrix theory, 92h:15001 

(Fan, Ky) see Directions in matrix theory, 92h:15001 

Goldberg, Moshe see Berman, Abraham; et al., 92m:15001 and Conference: Matrix Theory, 
92k:15007 

Hershkowitz, Daniel see Berman, Abraham; et al., 92m:15001 and Conference: Matrix 
Theory, 92k:15007 

(de Oliveira, Graciano) see Meeting: Matrix Analysis and Applications 

(Uhlig, Frank) see Direetions in matrix theory, 92h:15001 

(Vitéria, José) see Meeting: Matrix Analysis and Applications 


Items listed otherwise than by author 
Auburn, AL * Directions in matrix theory. 92h:15001 
Conference: 
Linear Algebra * Directions in matrix theory. 92h:15001 
Matrix Theory * Sixth Haifa Conference on Matrix Theory. 92k:15007 
Directions in matrix theory * Directions in matrix theory. 92h:15001 
Haifa * Sixth Haifa Conference on Matrix Theory. 92k:15007 
Meeting: 
Matrix Analysis and Applications Meeting of Matrix Analysis and Applications. 
Valencia Meeting of Matrix Analysis and Applications. 


Items with secondary classifications in 15-06 

(Bart, H.) see Topics in matrix and operator theory, 92a:00042 
(Gohberg, Israel) see Topics in matrix and operator theory, 92a:00042 
(Johnson, Charles Roya!) see Matrix theory and applications, 92a:15001 
(Kaashoek, M. A.) see Topics in matrix and operator theory, 92a:00042 


Items listed otherwise than by author 
Matrix theory and applications * Matrix theory and applications. 92a:15001 


Phoenix, AZ * Matrix theory and applications. 92a:15001 


Proceedings of Symposia in Applied Mathematics * Matrix theory and applications. 
92a:15001 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


Rotterdam * Topics in matrix and operator theory. 92a:00042 
Topics in matrix and operator theory * Topics in matrix and operator theory. 92a:00042 
Workshop: 

Matrix and Operator Theory * Topics in matrix and operator theory. 92a:00042 


15A03 Vector spaces, linear dependence, rank 


Tallini Scafati, Maria Strongly left distributive hypervector spaces. (Italian. English 
summary) 

Tingley, Daryl! Complements of linear subspaces. 92¢e:15005 

Todd, Aaron R. Covers by linear subspaces. 92a:15002 

Vialiaho, H. Determining subspaces on which a matrix is nonnegative definite. 92k:15008 


Items with secondary classifications in 15A03 


Byun, Chang Ho see Shin, Dong Yun; et al., 92d:46147 

Han, Zheng Zhi (with Zhang, Zhong Jun; Zheng, Yu Fan) The decomposition of (A, B)- 
invariant subspaces and its applications. (see 92b:93007) 

Henrich, Christopher J. Magic squares and linear algebra. 92d:05037 

Jelonek, Zbigniew Maximal sets of linearly independent vectors in a free module over a 
commutative ring. 92m:13011 

Johnson, Charles Royal Matrix completion problems: a survey. (see 92a:15001) 

Kim, Sang Og see Shin, Dong Yun; et al., 92d:46147 

Kotkowski, Bogdan (with Waszak, Aleksander) A contribution to the theory of calculus of 
matrices. 92b:15009 

Lee, Sa Ge see Shin, Dong Yun: et al., 92d:46147 

Martinez-Legaz, Juan-Enrique (with Singer, Ivan) Compatible preorders and linear 
operators on R”. 92¢:06018 

Mok, Kam Ping see Wong, Yung Chow, 924:51011 

Shin, Dong Yun (with Lee, Sa Ge; Byun, Chang Ho; Kim, Sang Og) On matrix normed 
spaces. 92d:46147 

Shneperman, L. B. Characterization of linear spaces by their additive semigroup of linear 
relations. (Russian) 92i:20068 

Singer, Ivan see Martinez-Legaz, Juan-Enrique, 92¢:06018 

Waszak, Aleksander see Kotkowski, Bogdan, 92b:15009 

Wong, Yung Chow (with Mok, Kam Ping) Normally related n-planes and isoclinic n-planes 
in R?" and strongly linearly independent matrices of order n. 92d:51011 

Zhang, Zhong Jun see Han, Zheng Zhi; et al., (92b:93007) 

Zheng, Yu Fan see Han, Zheng Zhi; et al., (92b:93007) 


15A04 Linear transformations, semilinear transformations 


Abgaryan, K. A. Holomorphic quasidiagonalization of a square matrix. (Russian) 
92g:15001 

Chan, Gin Hor (with Lim, Ming Huat) Linear preservers on powers of matrices. 92k:15009 

Chang, Stanley S. (with Li, Chi-Kwong) A special linear operator on M,(R). 92k:15010 

Contreras Caballero, Lucia An easy method for finding the Jordan basis of an endomor- 
phism in a vector space over an algebraically closed field. (Spanish. English summary) (see 
92m:00048) 

Cruz, Ricardo N. Linear and Lipschitz similarity. 92d:15002 

Guo, Zhong Heng The exterior-algebraic technique in tensor calculus. (Russian summary) 
92g:15002 

Horn, Roger A. (with Li, Chi-Kwong; Tsing, Nam-Kiu) Linear operators preserving certain 
equivalence relations on matrices. 92b:15004 

Li, Chi-Kwong see Horn, Roger A.; et al., 92b:15004 and Chang, Stanley S., 92k:15010 

Lim, Ming Huat Linear maps on symmetric spaces: the invariance of nonzero decomposable 
elements. 92¢:15002 

— see also Chan, Gin Hor, 92k:15009 

Romanov, L. I. Surjective bilinear mappings. (Russian) 92c¢:15003 

Tsing, Nam-Kiu see Horn, Roger A.,; et al., 92b:15004 

Wang, Lu Qun Rank-one preserving degenerate linear operators. (Chinese. English 
summary) 92i:15001 

Yu, Xian Jin Another algebraic proof of Lyapunov’s theorem. (Chinese. English summary) 


Items with secondary classifications in 15A04 


Alon, Noga (with Tarsi, Michael) A nowhere-zero point in linear mappings. 92a:11147 

Alsina, Claudi (with Garcia Roig, J.-L.) On a functional equation related to the exterior 
powers of Euclidean space. 92¢:39020 

Garcia Roig, J.-L. see Alsina, Claudi, 92e:39020 

Hansen, Sénke An algorithm for Lagrangian subspaces. 92b:65033 

Hartl, Johann Jordan-Basen projektiver Raume beziiglich linearer Selbstabbildungen. 
(English summary) [Jordan bases of projective spaces with respect to linear self- 
mappings] 92b:51004 

Heinig, Georg On structured matrices, generalized Bezoutians and generalized Christoffel- 
Darboux formulas. 92¢:15009 

Kleiman, E.1. The structure of maximal inverse subsemigroups of semigroups of linear 
transformations. (Russian) 92a:20073 

Ogievetskii,O. V. (with Wess, Julius) Relations between GL,,(2)’s. 92e:17017 

Richman, Fred Polynomials and linear transformations. 92¢:03090 

Tarsi, Michael see Alon, Noga, 92a:11147 

Wess, Julius see Ogievetskii, O. V.,92¢:17017 


15A06 Linear equations 


Davydov, G. V. (with Davydova, I. M.) Solvability of the system Ax = 0, x > 0, with 
indeterminate coefficients. (Russian) 92c¢:15004 

Davydova, I. M. see Davydov, G. V., 92c:15004 

Muldowney, James S. Compound matrices and ordinary differential equations. 92h:15002 

Pustovoitov, N. A. On the solution of the Maxwell problem by the second method of 
Lyapunov. (Russian) 92g:15003 

Rohn, Jiti An existence theorem for systems of linear equations. 92d:15003 





259 1992 


Verlan, I. I. Positive solutions of systems of linear algebraic equations. (Russian. English 
and Moldavian summaries) 

Wang, Guo Rong’ On extensions of Cramer rule. (Chinese summary) 

Wei, Zi Luan The problem of consistency of systems of linear equations and inequalities. 
(Chinese) 

Zhang, Xing Fang A kind of system of grey linear equations and the solution of its matrix. 
92f:15001 


Items with secondary classifications in 15A06 


Aliev, Fikret Akhmadali oglu (with Bordyug, B. A.; Larin, V. B.) The discrete generalized 
Riccati equation and the factorization of matrix polynomials. (Russian. English 
summary) 92h:93041 

Ammar, Gregory S. see Martin, Clyde Franklin, (924:93008) 

Bistritz, Y. (with Lev-Ari, H.; Kailath, Thomas) Immitance-type three-term Schur and 
Levinson recursions for quasi-Toeplitz complex Hermitian matrices. 92a:65087 

Bohl, Erich A boundary layer phenomenon for linear systems with a rank deficient matrix. 
(German and Russian summaries) 92h:92005 

Bordyug, B. A. see Aliev, Fikret Akhmadali oglu; et al., 92h:93041 

Bramley, Randall B. (with Sameh, Ahmed) Row projection methods for large nonsymmet- 
ric linear systems. 92h:65049 

Broyden, C.G. On degeneracy in linear complementarity problems. 92¢:90095 

Bunse-Gerstner, Angelika (with Mehrmann, Volker; Watkins, David S.) An SR algorithm 
for Hamiltonian matrices based on Gaussian elimination. 92a:65111 

Cain, B. E. (with Nelson, S. A.) Solutions to x — axb=w. 92m:47034 

Cappello, Peter R. see Yaacoby, Yoav, 92m:68051 

Cimmino, Gianfranco Cramer’s rule without the notion of determinant. (Italian) 92a:65089 

El-Mikkawy, M. E. A. An algorithm for solving tridiagonal systems. 

Feng, En Min see Yang, Zhao; et al., 92k:65052 

Gil, M. I. Operator functions method in the theory of continuous systems. (see 92i:34003) 

Gunawardena, Ananda D. (with Jain, Surender Kumar; Snyder, Larry) Modified iterative 
methods for consistent linear systems. 92¢:65041 

Hadjidimos, A. (with Yeyios, A. K.) Some recent results on the modified SOR theory. 
92c:65035 

He, Xu Chu (with Sun, Wen Yu) * Guangyi ni juzhen yinlun. (Chinese) [Introduction to 
generalized inverses of matrices] 92e:15008 

Jain, Surender Kumar see Gunawardena, Ananda D.; et al., 92c:65041 

Jédar, Lucas (with Navarro, Enrique) Solving boundary value probl 
equation X?)(t) — AX(t) = F(t). 92k:34018 

Kailath, Thomas see Bistritz, Y.; et al., 92a:65087 

Kuétera, Vladimir Algebraic Riccati equation: Hermitian and definite solutions. (see 
92d:93008) 

Lancaster, Peter (with Rodman, Leiba) Solutions of the continuous and discrete-time 
algebraic Riccati equations: a review. (see 92d:93008) 

Larin, V. B. see Aliev, Fikret Akhmadali oglu; et al., 92h:93041 

Laub, Alan J. Invariant subspace methods for the numerical solution of Riccati equations. 
(see 92d:93008) 

Lev-Ari, H. see Bistritz, Y.; et al., 92a:65087 

Li, Chi-Kwong (with Rodman, Leiba; Tsing, Nam-Kiu) Linear operators preserving certain 
equivalence relations originating in system theory. 92k:93046 

Martin, Clyde Franklin (with Ammar, Gregory S.) The geometry of the matrix Riccati 
equation and associated eigenvalue methods. (see 92d:93008) 

Mehrmann, Volker see Bunse-Gerstner, Angelika; et al., 92a:65111 

Navarro, Enrique see Jédar, Lucas, 92k:34018 

Nelson, S. A. see Cain, B. E., 92m:47034 

Neumann, Michael (with Tsatsomeros, Michael J.) Symbiosis points for linear differential 
systems. 92d:34020 

Peng, Shi (with de Souza, Carlos E.) Bounds on the solution of the algebraic Riccati 
equation under perturbations in the coefficients. 92d:93041 

Ran, André C. M. (with Rodman, Leiba) Stable solutions of real algebraic matrix Riccati 
equations. 92k:93061 

Rodman, Leiba see Li, Chi-Kwong; et al., 92k:93046; Ran, André C. M., 92k:93061 and 
Lancaster, Peter, (92d:93008) 

Sameh, Ahmed see Bramley, Randall B., 92h:65049 

Scherer, Carsten The solution set of the algebraic Riccati equation and the algebraic Riccati 
inequality. 92h:93042 

Seifert, Benedict G. On a new iterative algorithm for solving linear equations. 92c:65044 

Shayman, Mark A. A geometric view of the matrix Riccati equation. (see 92d:93008) 

Snyder, Larry see Gunawardena, Ananda D.; et al., 92¢:65041 

de Souza, Carlos E. see Peng, Shi, 92d:93041 

Sun, Wen Yu see He, Xu Chu; et al., 92e:15008 

Tsatsomeros, Michael J. see Neumann, Michael, 92d:34020 

Tsing, Nam-Kiu see Li, Chi-Kwong; et al., 92k:93046 

Tsurkis, I. Ya. Solution of infinite-dimensional systems of linear equations by the reduction 
method. (Russian) 92k:65051 

Wang, Xi Zhen A method for solving linear systems of equations with special generalized 
circulant matrices. (Chinese. English summary) 92m:34021 

Watkins, David S. see Bunse-Gerstner, Angelika; et al., 92a:65111 

Yaacoby, Yoav (with Cappello, Peter R.) Decoupling the dimensions of a system of affine 
recurrence equations. 92m:68051 

Yang, Zhao (with Feng, En Min) Using ABS algorithms to solve a class of indefinite systems 
of linear equations. (Chinese. English summary) 92k:65052 

Yeyios, A. K. see Hadjidimos, A., 92c:65035 

Zhdanov, A. I. Optimal regularization of solutions of approximate stochastic systems of 
linear algebraic equations. (Russian) 92a:65110 


for the matrix 





15A09 Matrix inversion, generalized inverses 


Baksalary, Jerzy K. (with Mitra, Sujit Kumar) Left-star and right-star partial orderings. 
92b:15005 
Bapat, R. B. see Prasad, K. Manjunatha; et al., 92a:15006 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


15A09 


Bevilacqua, Roberto see Rézsa, Pal; et al., 92c:15006 

Buffoni, Giuseppe On the inverse of a matrix with positive definite symmetric component. 
92i:15002 

Campbell, Stephen L. (with Meyer, C. D., Jr.) * Generalized inverses of linear transforma- 
tions. 92a:15003 

Cao, Chong Guang On generalized inverses of morphisms. (Chinese) 92g:15004 

— Linearity-preserving operators of Moore-Penrose inverses of matrices over a field. 
(Chinese. English summary) 92i:15003 

Chang, Xiao Wen see Wang, Jia Song; et al., 92j:15001 

Chen, Jian Long Generalized inverses of matrices over rings. (Chinese) 92k:15011 

Chen, Yong Lin On the independence of subblocks in g-inverses of matrices of the form 
(4 3}. (Chinese. English summary) 92b:15006 

Chéng, Sui Shéng (with Hsieh, Liang Yii) Inverses of matrices arising from difference 
operators. 92a:15004 

Constantinescu, Tiberiu Schur analysis for invertible matrices. 92f:15002 

De Moor, Bart L. R. (with Golub, Gene Howard) The restricted singular value decomposi- 
tion: properties and applications. 92k:15012 

Drazin, Michael P. Extremal definitions of generalized inverses. 92m:15002 

Ermolaev, E. A. Commutative inversion of singular matrices. (Russian. English summary) 
92¢e:15006 

Favati, Paola see Rézsa, Pal; et al., 92c:15006 

Gabler, Siegfried An identity for reflexive g-inverses in the context with BLU estimators. 
92h:15003 

Gao, Qi Jing see Zhong, Bao Dong; et al. 

Gingold, Harry On totally invertible matrices and Carlian sets. 92k:15013 

Golub, Gene Howard see De Moor, Bart L. R., 92k:15012 

Gouveia, M.C. (with Puystjens, R.) About the group inverse and Moore-Penrose inverse of 
a product. 92b:15007 

Gover, M. J.C. Properties of the inverse of the Gaussian matrix. 92e:15007 

He, Xu Chu (with Sun, Wen Yu) * Guangyi ni juzhen yinlun. (Chinese) [Introduction to 
generalized inverses of matrices] 92e:15008 

Heinig, Georg On structured matrices, generalized Bezoutians and generalized Christoffel- 
Darboux formulas. 92e:15009 

Hsieh, Liang Yi see Chéng, Sui Shéng, 92a:15004 

Indira, R. see Meenakshi, Ar., 92a:15005 

Jensen, D. R. (with Ramirez, D. E.) Dispersion-diminishing transformations. 92b:15008 

Jiang, Sheng Yuan Generalized inverses with factorization. (Chinese. English summary) 
92g:15005 

Johnson, Charles Royal (with Shalom, Tamir) Information requirements for Toeplitz 
inversion. 92e:15010 

Ketkié, Jovan D. Generalized inverse matrices of arbitrary index and the involution inverse. 
(Serbo-Croatian summary) 92g:15006 

Kotkowski, Bogdan (with Waszak, Aleksander) A contribution to the theory of calculus of 
matrices. 92b:15009 

Larin, V. B. Determination of a square root of a positive definite matrix. (Russian) 
92m:15003 

Leonov, A. S. The minimal pseudo-inverse matrix method: theory and numerical realiza- 
tion. (Russian) 92m:15004 

Liu, Dan (with Szidarovszky, Ferenc) Block-M-matrices and their properties. 92d:15004 

Lu, Sen Quan Two explicit formulas for the generalized inverse A*. (Chinese. English 
summary) 

Mao, Gang Yuan Methods for finding the inverse matrices of arithmetic-geometric cyclic 
matrices. (Chinese. English summary) 

Meenakshi, Ar. (with Indira, R.) On concovariance of the Moore-Penrose inverse. 
92a:15005 

Meyer, C. D., Jr. see Campbell, Stephen L., 92a:15003 

Miao, Jian Ming Representations for the weighted Moore-Penrose inverse of a partitioned 
matrix. 

— Some results on the Drazin inverses of partitioned matrices. (Chinese. English summary) 
92d:15005 

— General expressions for the Moore-Penrose inverse of a 2 x 2 block matrix. 92¢:15005 

Mitra, Sujit Kumar Block independence in generalized inverse: a coordinate free look. 
92b:15010 

— Matrix partial order through generalized inverses: unified theory. 92e:15011 

— see also Baksalary, Jerzy K., 92b:15005 

Okuguchi, Koji see Szidarovszky, Ferenc, 92e:15012 

Peris, Josep E. (with Subiza, Begofa) A characterization of weak-monotone matrices. 
92k:15014 

Popa, Constantin On the invertibility of a class of irreducible matrices. 92i:15004 

Pordzik, P. R. A lemma on g-inverse of the bordered matrix and its application to recursive 
estimation in the restricted linear model. 

Prasad, K. Manjunatha (with Rao, K. P. S. Bhaskara; Bapat, R. B.) Generalized inverses 
over integral domains. II. Group inverses and Drazin inverses. 92a:15006 

Puschmann, Heinrich Weitere unzulassige Abwandlungen der Vermutung von Wilkinson. 
(English summary) [Further invalid modifications of Wilkinson’s conjecture] 92a:15007 

Puystjens, R. see Gouveia, M. C., 92b:15007 

Ramirez, D. E. see Jensen, D. R., 92b:15008 

Rao, K. P.S. Bhaskara Generalized inverses with respect to general norms. II. 92a:15008 

— see also Prasad, K. Manjunatha; et al., 92a:15006 

Romani, Francesco see Rézsa, Pal; et al., 92c:15006 

Rézsa, Pal (with Bevilacqua, Roberto; Romani, Francesco; Favati, Paola) On band 
matrices and their inverses. 92c:15006 

Shalom, Tamir see Johnson, Charles Royal, 92e:15010 

Stepniak, Czestaw Inversion of covariance matrices: explicit formulae. 92b:15011 

Subiza, Begoiia see Peris, Josep E., 92k:15014 

Sun, Wen Yu see He, Xu Chu; et al., 92e:15008 

Szidarovszky, Ferenc (with Okuguchi, Koji) A general scheme for matrices with nonnega- 
tive inverses. 92¢:15012 

— see also Liu, Dan, 92d:15004 





15A09 


Tu, Bo Xun The rank of a matrix and nonsingularity of local-trace dominant matrices. 
(Chinese. English summary) 924:15006 

Wang, Guo Rong! An application of the block Cayley-Hamilton theorem. (Chinese. English 
summary) 

Wang, Jia Song (with Chang, Xiao Wen) Some notes on the generalized inverse under the 
L, norm. (Chinese summary) 92j:15001 

Waszak, Aleksander see Kotkowski, Bogdan, 92b:15009 

Windisch, Ginther Sign patterns of inverse tridiagonal matrices. 92k:15015 

Yanai, Haruo Some generalized forms of least squares g-inverse, minimum norm g-inverse, 
and Moore-Penrose inverse matrices. 92b:15012 

Yang, Hui Jun (with Zhou, Shi Fan) Some properties of complex matrices of order n. 
(Chinese) 92d:15007 

Zhang, Le Quan see Zhong, Bao Dong; et al. 

Zhang, Lei! The solvability conditions for the inverse problem of symmetric nonnegative 
definite matrices. 92i:15005 

Zhang, Shu Qing Some theorems on the rank and generalized inverse of matrices over rings 
and skew fields. (Chinese. English summary) 

Zhao, Cui Kui Invertibility conditions for matrices over distributive lattices. (Chinese. 
English summary) 92i:15006 

Zhong, Bao Dong (with Gao, Qi Jing; Zhang, Le Quan) Conditions for the existence of the 
inverse matrix (E — 1A)~' and its algorithm. (Chinese. English summary) 

Zhou, Shi Fan see Yang, Hui Jun; et al., 92d:15007 

Zielke, Gerhard Lineare Gleichungssysteme und verallgemeinerte Inversen: Grundlagen 
und numerische Verfahren. [Linear systems of equations and generalized inverses: 
foundations and numerical methods] 92g:15007 


Items with secondary classifications in 15A09 

Anandam, N. see Meenakshi, Ar. 

Andrew, Paul Quasi-inverse forms and extended operators. 92m:47002 

Baksalary, Jerzy K. (with Pukkila, Tarmo) A note on invariance of the eigenvalues, singular 
values, and norms of matrix products involving generalized inverses. 92m:15006 

Boichuk, A. A. (with Zhuravlév, V. F.) Construction of solutions of linear Noetherian 
operator equations in Hilbert spaces. (Russian. English summary) 92g:47012 

Buffoni, Giuseppe Perturbation of a matrix with positive inverse. (Italian summary) 
92d:65080 

Bulgakov, A. Ya. Justification of guaranteed accuracy for identifying invariant subspaces of 
nonselfadjoint matrices. (Russian) 92c:65052a 

— The basis of guaranteed accuracy in the problem of separation of invariant subspaces for 
nonselfadjoint matrices. I [translation of Trudy Inst. Mat. (Novosibirsk) 15 (1989), Chisl. 
Anal., 12-93; MR 92c:65052a]. 92¢:65052b 

Bulut, Hamza Algebraic characterizations of the singular value decompositions in the 
transportation problem. 92b:90137 

Buraczewski, Adam Generalization of formulae of Fredholm type and determinant theory 
for rectangular matrices. 92m:47003 

Chan, Jack-Kang A novel interpretation of least squares solution. 92j:65058 

Chan, Raymond H. Toeplitz preconditioners for Toeplitz systems with nonnegative 
generating functions. 92f:65041 

Chen, Long Xuan Definition of determinant and Cramer solutions over the quaternion field. 
92f:15011 

— Inverse matrix and properties of double determinant over quaternion field. 92e:15023 

Dahlhaus, R. Approximations for the inverse of Toeplitz matrices with applications to 
stationary processes. 92a:62143 

Davis, J. H. see Harris, T. J. 

Donevski, B. D. A fast algorithm for the inversion of Vandermonde matrices. (Bulgarian. 
English and Russian summaries) 

Finck, Tilo (with Rost, Karla) Fast inversion of Cauchy-Vandermonde matrices. 924:65081 

Fragulis, G. (with Mertzios, B. G.; Vardulakis, A. I. G.) Computation of the inverse of a 
polynomial matrix and evaluation of its Laurent expansion. 924:93060 

Harris, T. J. (with Davis, J.H.) An iterative method for matrix spectral factorization. 

Hauke, Jan (with Krzyszkowska, Jolanta) Generalizations of some properties of a universal 
matrix. (Polish. English summary) 

Heinig, Georg Formulas and algorithms for block Hankel matrix inversion and partial 
realization. 92f:93027 

— (with Jankowski, P.) Parallel and superfast algorithms for Hankel systems of equations. 
92a:65092 

Herzberger, Jiirgen Guaranteed inclusions for the inverse matrix via error-bounds for the 
Neumann series. 92m:65042 

— see also Petkovi¢é, Miodrag S., 92a:65093 

Jankowski, P. see Heinig, Georg, 92a:65092 

Jédar, Lucas (with Law, A. G.; Rezazadeh, A.; Weston, J. H.; Wu, G.) Computations for 
the Moore Penrose and other generalized inverses. 92f:65050 

Koltracht, Israel (with Neumann, Michael) On the inverse M-matrix problem for real 
symmetric positive-definite Toeplitz matrices. 92b:15036 

Krzyszkowska, Jolanta see Hauke, Jan 

Law, A.G. see Jédar, Lucas; et al., 92f:65050 

Leonov, A.S. On the theory of the method of the minimal pseudo-inverse matrix. (Russian) 
92d:65067 

Linzer, Elliot (with Vetterli, Martin) Structure and arithmetic complexity of products and 
inverses of Toeplitz matrices. 92a:65371 

Lu, Sen Quan Generalized QR factorization and reduced rank approximation of a matrix. 
(Chinese. English summary) 92j:65062 

Meenakshi, Ar. (with Anandam, N.) On polynomial EP, matrices. 

Mertzios, B. G. see Fragulis, G.; et al., 92d:93060 

Neumann, Michael (with Werner, Hans-Joachim') Nonnegative group inverses. 92e:15026 

— see also Koltracht, Israel, 92b:15036 

Nikéevié, Stana Z. Linear group functional equation and existence of the group inverse of 
the corresponding matrix. (Serbo-Croatian summary) 92i:39011 

Pan, Victor (with Schreiber, Robert) An improved Newton iteration for the generalized 
inverse of a matrix, with applications. 924:65056 

Petkovi¢, Miodrag S. (with Herzberger, Jiirgen) On the efficiency of a class of combined 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


1992 260 


Schulz’s methods for bounding the inverse matrix. (German and Russian summaries) 
92a:65093 

Preparata, Franco P. Inverting a Vandermonde matrix in minimum parallel time. 

Pukkila, Tarmo see Baksalary, Jerzy K., 92m:15006 

Rakowski, Marek Generalized pseudoinverses of matrix valued functions. 92d:15018 

Rezazadeh, A. see Jédar, Lucas; et al., 92f:65050 

Rising, William Applications of generalized inverses to Markov chains. 92g:15033 

Rohn, Jiti Nonsingularity under data rounding. 92a:65118 

Rost, Karla see Finck, Tilo, 92d:65081 

Schellhorn, Jean-Pierre Generalized inverses and generalized convexity. 92e:44008 

Schreiber, Robert see Pan, Victor, 924:65056 

Sidi, Avram Development of iterative techniques and extrapolation methods for Drazin 
inverse solution of consistent or inconsistent singular linear systems. 92m:65051 

Vardulakis, A. 1I.G. see Fragulis, G.; et al., 92d:93060 

Vetterli, Martin see Linzer, Elliot, 92a:65371 

Wei, Mu Sheng Algebraic properties of the rank-deficient equality-constrained and 
weighted least squares problems. 92j:65059 

Werner, Hans-Joachim! see Neumann, Michael, 92e:15026 

Weston, J. H. see Jédar, Lucas; et al., 92f:65050 

Wu, G. see Jédar, Lucas; et al., 92f:65050 

Xu, Yin Feng Fast algorithms for inverses and criteria for positive definiteness of rational 
matrices. (Chinese) 92¢:65037 

Xu, Zhong An algorithm for the inversion of quasi-Hessenberg matrices. 92¢:65039 

Zhang, Lei! An inverse problem of orthogonal matrices and their optimal approximation. 
(Chinese. English summary) 92h:65078 

Zhuraviév, V.F. see Boichuk, A. A., 92g:47012 


15A12 Conditioning of matrices [see also 65F35] 


Deng, Nai Yang (with Spedicato, E.) On the bounds to the condition number of bordered 
positive definite matrices. 92i:15007 

Freund, Roland W. On polynomial preconditioning and asymptotic convergence factors for 
indefinite Hermitian matrices. 92g:15008 

Gilbert, George T. Positive definite matrices and Sylvester’s criterion. 92a:15009 

Spedicato, E. see Deng, Nai Yang, 92i:15007 


Items with secondary classifications in 15A12 

Chan, Raymond H. (with Jin, Xiao Qing; Yeung, Man-Chung) The circulant operator in the 
Banach algebra of matrices. 92f:15004 

Edelman, Alan On the distribution of a scaled condition number. 92g:15034 

Jin, Xiao Qing see Chan, Raymond H.; et al., 92f:15004 

Kenney, Charles S. (with Laub, Alan J.) Polar decomposition and matrix sign function 
condition estimates. 92e:65054 

Laub, Alan J. see Kenney, Charles S., 92e:65054 

Mathias, Roy Matrices with positive definite Hermitian part: inequalities and linear 
systems. 92k:15041 

Piazza, G. (with Trigiante, D.) Bounds for the condition number of a class of tridiagonal 
and block tridiagonal matrices. (Italian. English summary) 92a:65138 

Pierce, Daniel J. (with Plemmons, Robert J.) Fast adaptive condition estimation. 
925:65069 

Plemmons, Robert J. see Pierce, Daniel J., 92j:65069 

Rump, Siegfried M. A class of arbitrarily ill-conditioned floating-point matrices. 924:65076 

Schneider, Hans (with Schneider, Michael H.) Max-balancing weighted directed graphs and 
matrix scaling. 92k:90114 

Schneider, Michael H. see Schneider, Hans, 92k:90114 

Trigiante, D. see Piazza, G., 92a:65138 

Yeung, Man-Chung see Chan, Raymond H.; et al., 92f:15004 


15A15 Determinants, permanents, other special matrix functions 
[see also 19B10, 19B14] 


Agha, Nader (with Hershkowitz, Daniel) The relation between the height and level 
characteristics for a matrix with simple singular vertices. 92g:15009 

Bapat, R. B. An interlacing theorem for tridiagonal matrices. 92c:15007 

— A note on the permanental Hadamard inequality. 92k:15016 

Barvinok, A. I. Complexity of computation of immanants, and representations of the 
general linear group. (Russian) 92¢:15008 

Bebiano, Natalia The determinant of the sum of unitary matrices. (Portuguese) (see 
92g:00024) 

Beslin, Scott J. Cofactor matrices. 92m:15005 

Brualdi, Richard A. (with Shader, Bryan L.) On sign-nonsingular matrices and the 
conversion of the permanent into the determinant. 92f:15003 

Callan, David Another determinant condensation formula. 92d:15008 

Chan, Raymond H. (with Jin, Xiao Qing; Yeung, Man-Chung) The circulant operator in the 
Banach algebra of matrices. 92f:15004 

Chen, Gong Ning Some fundamental theorems on inertia of matrices. (Chinese. English 
summary) 92k:15017 

— (with Yang, Zheng Hong) Bezoutian representation via Vandermonde matrices. (Chinese 
summary) 

Chen, Ling Inequalities for partial traces of matrix exponentials. (Chinese. English 
summary) 

Delbaen, Freddy Optimizing the determinant of a positive definite matrix. 92b:15013 

Dmitrevsky, S. (with Greub, W. H.) A property of certain sesquilinear functions in a 
complex space. 92¢:15009 

Do, Seok-Su (with Hwang, Suk Geun) Some rationally looking faces of Q,, having irrational 
minimum permanents. 92j:15002 

Gelfand, I. M. (with Retakh, V.S.) Determinants of matrices over noncommutative rings. 
(Russian) 92k:15018 

Getu, Seyoum Evaluating determinants via generating functions. 

Greub, W. H. see Dmitrevsky, S., 92¢:15009 





261 1992 


Hershkowitz, Daniel see Agha, Nader, 92g:15009 

Heuvers, Konrad J. (with Moak, Daniel S.) The Binet-Cauchy functional equation and 
nonsingular multiindexed matrices. 92a:15010 

Heyfron, Peter Some inequalities concerning immanants. 92e:15013 

Hong, Ho S. Two expansion theorems by diagonal elements for the permanent and the 
determinant. 92g:15010 

Hu, Shu An (with Tam, Tin Yau) Operators with permanental numerical ranges on a 
straight line. 92f:15005 

Hwang, Suk Geun Some nontrivial permanental mates. 92b:15014 

— The monotonicity of the permanent function. 92i:15008 

— Convexity of the permanent for doubly stochastic matrices. 92d:15009 

— see also Do, Seok-Su, 92j:15002 

IVichev, A. P. see Shevchenko, V. N., 92k:15022 

Jin, Xiao Qing see Chan, Raymond H.; et al., 92f:15004 

Johnson, Charles Royal (with Maybee, John) Qualitative analysis of Schur complements. 
92h:15004 

— see also Lundquist, Michael E., 92d:15011 

Kolyada, R. V. Some properties of the coefficients of the characteristic polynomial of a 
polynomial matrix. (Russian) 92d:15010 

Kovalenko, S. P. New information about induced matrices. (Russian) 92k:15019 

Erauter, Arnold R. Permanenten. [Permanents] (see 92m:00034) 

Lundquist, Michael E. (with Johnson, Charles Royal) Linearly constrained positive definite 
completions. 92d:15011 

Ma, Li Zhuang Generalizations and applications of circulant matrices. (Chinese. English 
summary) 

Malek, Massoud On the monotonicity of the sum of subpermanents of doubly stochastic 
matrices. 92e:15014 

Man, Wai Yip The invariance of C-numerical range, C-numerical radius, and their dual 
problems. 92e:15015 

Maybee, John see Johnson, Charles Royal, 92h:15004 

McCasland, Roy L. (with Moore, Marion E.) On unimodular complements. 92f:15006 

Meisters, Gary Hosler (with Olech, Czestaw) Strong nilpotence holds in dimensions up to 
five only. 92i:15009 

Melnik, O. M. Invariants of transforming matrices. (Russian) 92¢:15010 

Moak, Daniel S. see Heuvers, Konrad J., 92a:15010 

Moore, Marion E. see McCasland, Roy L., 92f:15006 

Olech, Czestaw (with Parthasarathy, T.; Ravindran, G.) Almost N-matrices and linear 
complementarity. 92b:15015 

— see also Meisters, Gary Hosler, 92i:15009 

Parthasarathy, T. see Olech, Czestaw; et al., 92b:15015 

Ravindran, G. see Olech, Czestaw; et al., 92b:15015 

Retakh, V.S. see Gelfand, I. M., 92k:15018 

Rokne, J.G. A characteristic polynomial. 92k:15020 

Segercrantz, J. Improving the Cayley-Hamilton equation for low-rank transformations. 
92k:15021 

Shader, Bryan L. see Brualdi, Richard A., 92f:15003 

Shevchenko, V.N. (with Il'ichev, A. P.) Minors and permanents of some (0, 1 )-matrices. 
(Russian) 92k:15022 

Shevelev, V.S. Sums of subpermanents of linear hulls of permutation matrices. (Russian) 
92k:15023 

Stickel, Eberhard U. Separating eigenvalues using the matrix sign function. 92h:15005 

Szulc, Tomasz A criterion for nonvanishing of determinants. 92f:15007 

Tam, Tin Yau Another proof of a result of Marcus without Pliicker relations. 92g:15011 

— see also Hu, Shu An, 92£:15005 

Xi, Bo Yan The Bellman inequality for traces of matrices. (Chinese. English summary) 

Yang, Yi Xin Applications of a determinantal inequality. (Chinese. English summary) 

Yang, Zheng Hong see Chen, Gong Ning; et al. 

Yeung, Man-Chung see Chan, Raymond H.; et al., 92f:15004 


Items with secondary classifications in 15A15 


Alon, Noga The maximum number of Hamiltonian paths in tournaments. 92a:05059 

André-Jeannin, Richard On determinants whose elements are recurring sequences of 
arbitrary order. 92j:11011 

Barrett, Wayne W. (with Jarvis, Tyler J.) Spectral properties of a matrix of Redheffer. 
92k:15037 

Borovskikh, Yu. V. see Korolyuk, V. S., 92j:60026 

Brualdi, Richard A. (with Liu, Bo Lian) The polytope of even doubly stochastic matrices. 
92k:15043 

Buraczewski, Adam Generalization of formulae of Fredholm type and determinant theory 
for rectangular matrices. 92m:47003 

Chan, Jack-Kang A novel interpretation of least squares solution. 92j:65058 

Chen, Long Xuan Definition of determinant and Cramer solutions over the quaternion field. 
92:15011 

van den Essen, Arno Polynomial maps and the Jacobian conjecture. 92k:14014 

Goulden, Ian P. (with Jackson, David M.) Immanants, Schur functions, and the MacMa- 
hon master theorem. 92i:05221 

Hansen, Frank Functions of matrices with nonnegative entries. 92k:15040 

Heuvers, Konrad J. (with Moak, Daniel S.) The Binet-Pexider functional equation for 
rectangular matrices. 92g:39008 

— (with Moak, Daniel S.) The characterization of determinant and permanent functions by 
the Binet-Cauchy theorem. 92j:39015 

— (with Moak, Daniel S.) The solution of the Binet-Cauchy functional equation for square 
matrices. 92e:39027 

Jackson, David M. see Goulden, Ian P., 92i:05221 

Jarvis, Tyler J. see Barrett, Wayne W., 92k:15037 

Johnson, Charles Royal Matrix completion problems: a survey. (see 92a:15001) 

— see also Loewy, Raphael; et al., 92d:52026 

Korolyuk, V.S. (with Borovskikh, Yu. V.) Algebraic decomposition and the asymptotics of 
the permanent of a random matrix. (Russian) 92j:60026 

Liu, Bo Lian see Brualdi, Richard A., 92k:15043 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


15A18 


Loewy, Raphael (with Shier, Douglas R.; Johnson, Charles Royal) Perron eigenvectors and 
the symmetric transportation polytope. 92d:52026 

Mathes, D. Benjamin (with Omladit, Matjaz; Radjavi, Heydar) Linear spaces of nilpotent 
matrices. 92g:15021 

Merris, Russell Almost all trees are co-immanantal. 92g:05131 

Moak, Daniel S. see Heuvers, Konrad J., 92e:39027; 92g:39008 and 92j:39015 

Morita, Tohru see Tanaka, Kazuyuki*, 92a:15028a and 92a:15028b 

Murota, Kazuo Computing Puiseux-series solutions to determinantal equations via 
combinatorial relaxation. 92e:68088 

Omladit, Matjaz see Mathes, D. Benjamin; et al., 92g:15021 

Penrice, Stephen G. Derangements, permanents, and Christmas presents. 92g:05014 

Radjavi, Heydar see Mathes, D. Benjamin; et al., 92g:15021 

Radoux, Christian Déterminant de Hankel construit sur les polynémes de Hermite. [A 
Hankel determinant constructed on Hermite polynomials] 92¢:33014 

Shier, Douglas R. see Loewy, Raphael; et al., 92d:52026 

Strang, Gilbert Inverse problems and derivatives of determinants. 92i:58203 

Tanaka, Kazuyuki? (with Morita, Tohru) Asymptotic behaviors of modified block Toeplitz 
determinant. 92a:15028a 

— (with Morita, Tohru) Asymptotic forms of some block Toeplitz determinants. 
92a:15028b 

Tu, Bo Xun The rank of a matrix and nonsingularity of local-trace dominant matrices. 
(Chinese. English summary) 924:15006 

Wang, Guo Rong! (with Wang, Zheng) A simplified determinant representation for optimal 
approximate solutions to the matrix equation AX H = K. (Chinese. English summary) 

Wang, Zheng see Wang, Guo Rong; et al. 

Yang, Kung-Wei q-determinants and permutations. 92¢:05007 


15A18 Eigenvalues, singular values, and eigenvectors 


Ammar, Gregory S. (with Gragg, William B.; Reichel, Lothar) Constructing a unitary 
Hessenberg matrix from spectral data. 92j:15003 

Baksalary, Jerzy K. (with Pukkila, Tarmo) A note on invariance of the eigenvalues, singular 
values, and norms of matrix products involving generalized inverses. 92m:15006 

Barrett, Wayne W. (with Olesky, D. D.; van den Driessche, P.) A note on eigenvalues of 
fixed rank perturbations of diagonal matrices. 92h:15006 

Béhme, J. F. see Yang, B., 92g:15014 

Cabral, Isabel (with Silva, Fernando C.) Existence of matrices with a prescribed submatrix. 
(Portuguese. English summary) (see 92m:00048) 

— (with Silva, Fernando C.) Unified theorems on completions of matrix pencils. 92k:15024 

Caserta, Francesco Eigenvalues in infinite dimensions. 92c:15011 

Chai, Qiao Zhu see Chen, Bao Qian; et al. 

Chen, Bao Qian (with Li, Shu Bing; Liu, Gui Ru; Chai, Qiao Zhu) An eigenvalue problem 
for positive reciprocal matrices. (Chinese. English summary) 

Cuadras, Carles M. An eigenvector pattern arising in nonlinear regression. 92h:15007a 

— Erratum to: “An eigenvector pattern arising in nonlinear regression”. 92h:15007b 

van den Driessche, P. see Barrett, Wayne W.; et al., 92h:15006 

Dubiner, Moshe The product of a convergent sequence of matrices. 92e:15016 

Eschenbach, Carolyn A. (with Johnson, Charles Royal) Sign patterns that require real, 
nonreal or pure imaginary eigenvalues. 92g:15012 

Fiedler, Miroslav Expressing a polynomial as the characteristic polynomial of a symmetric 
matrix. 92b:15016 

Friedland, Shmuel Pairs of matrices which do not admit a complementary triangular form. 
92b:15017 

— Revisiting matrix squaring. 92c:15012 

Gingold, Harry (with Hsieh, Po-Fang) Note on an algorithm for globally analytic triangu- 
larization of a matrix function. 92j:15004 

Gragg, William B. see Ammar, Gregory S.; et al., 92j:15003 

Hassi, Seppo A singular value decomposition of matrices in a space with an indefinite scalar 
product. 92f:15008 

Hershkowitz, Daniel (with Schneider, Hans) Combinatorial bases, derived Jordan sets and 
the equality of the height and level characteristics of an M-matrix. 92h:15008 

Hertz, David Simple bounds on the extreme eigenvalues of Toeplitz matrices. 92j:15005 

Hill, R. O., Jr. (with Parlett, Beresford N.) Refined interlacing properties. 92m:15007 

Hsieh, Po-Fang see Gingold, Harry, 92j:15004 

Johnson, Charles Royal (with Schreiner, Erik A.) Explicit Jordan form for certain block 
triangular matrices. 92g:15013 

— see also Eschenbach, Carolyn A., 92g:15012 

Kirkland, Steve Hypertournament matrices, score vectors and eigenvalues. 92e:15017 

— An eigenvalue region for Leslie matrices. 92k:15025 

Kovat-Striko, J. (with Veseli¢, K.) Some remarks on the spectra of Hermitian matrices. 
92b:15018 

Kraaijevanger, J. F.B. M. A characterization of Lyapunov diagonal stability using 
Hadamard products. 92¢:15013 

Lerer, Leonid (with Rodman, Leiba; Tismenetsky, Miron) Inertia theorems for matrix 
polynomials. 92k:15026 

Li, Luo Luo Some sufficient conditions for the solvability of inverse eigenvalue problems. 
92h:15009 

Li, Shu Bing see Chen, Bao Qian; et al. 

Liu, Gui Ru see Chen, Bao Qian; et al. 

Liu, Jia Shun (with Yang, Hui Jun) Eigenvectors of symmetric and skew-symmetric 
tridiagonal matrices. (Chinese. English summary) 92a:15011 

Liu, Xin Guo Perturbation of eigenvectors of matrices. (Chinese) 

Lobarev, I. V. Estimates for the eigenvalues of a class of block-Toeplitz matrices. (Russian) 
(see 92m:00024) 

Marino, Giuseppe (with Pietramala, Paolamaria) A nonlinear symmetric eigenvalue 
problem. 

Mathias, Roy The equivalence of two partial orders on a convex cone of positive semidefin- 
ite matrices. 92i:15010 

Olesky, D. D. see Barrett, Wayne W.; et al., 92h:15006 

de Oliveira, Graciano Interlacing inequalities. Matrix groups. 92k:15027 





15A18 


Pang, Ming Xian Block eigenvalues of block compound matrices. (Chinese) 92b:15019 

Parlett, Beresford N. see Hill, R. O., Jr., 92m:15007 

Pietramala, Paolamaria see Marino, Giuseppe 

Pukkila, Tarmo see Baksalary, Jerzy K., 92m:15006 

Reichel, Lothar (with Trefethen, Lloyd N.) Eigenvalues and pseudo-eigenvalues of Toeplitz 
matrices. 92k:15028 

— see also Ammar, Gregory S.; et al., 92j:15003 

Rodman, Leiba (with Shalom, Tamir) Jordan forms of completions of partial upper 
triangular matrices. 92k:15029 

— see also Lerer, Leonid; et al., 92k:15026 

Rojo, Oscar (with Soto, Ricardo) Conditions for an additive inverse eigenvalue problem. 
(Spanish) 92j:15006 

de Sa, Eduardo Marques (with Sodupe, Maria-José) Generalized singular values, interlacing 
inequalities, and monotonic norms. 92a:15012 

Schneider, Hans see Hershkowitz, Daniel, 92h:15008 

Schreiner, Erik A. see Johnson, Charles Royal, 92g:15013 

Shalom, Tamir see Rodman, Leiba, 92k:15029 

Shen, Guang Xing Eigenvalues of some circulant matrices. (Chinese. English summary) 

Silva, Fernando C. see Cabral, Isabel, 92k:15024 and (92m:00048) 

Sodupe, Maria-José see de Sd, Eduardo Marques, 92a:15012 

Soto, Ricardo see Rojo, Oscar, 92}:15006 

Spence, Edward Eigenvalues of a class of (0,+1) symmetric matrices. 92m:15008 

Stewart, G. W. Two simple residual bounds for the eigenvalues of a Hermitian matrix. 
92j:15007 

Taussky, Olga (with Todd, John) Another look at a matrix of Mark Kac. 92k:15030 

Tismenetsky, Miron see Lerer, Leonid; et al., 92k:15026 

Todd, John see Taussky, Olga, 92k:15030 

Trefethen, Lloyd N. see Reichel, Lothar, 92k:15028 

Van Huffel, Sabine Iterative methods for solving total least squares problems. (see 
92m:65053) 

— On the significance of nongeneric total least squares problems. 92k:15031 

Veseli¢é, K. see Kovaét-Striko, J., 92b:15018 

Xiong, Xi Wen see Zhan, Tong Sheng; et al. 

Yang, B. (with Bohme, J. F.) Reducing the computations of the singular value decomposi- 
tion array given by Brent and Luk. 92g:15014 

Yang, Hui Jun see Liu, Jia Shun; et al., 92a:15011 

Yong, Xue Rong Distribution domains of eigenvalues of a class of matrices. (Chinese. 
English summary) 

Zhan, Tong Sheng (with Xiong, Xi Wen) Inverse problems for generalized eigenvalues of 
Jacobi matrices. (Chinese. English summary) 


Items with secondary classifications in 15A18 

Ammar, Gregory S. (with Mehrmann, Volker) On Hamiltonian and symplectic Hessenberg 
forms. 92a:15025 

— see also Martin, Clyde Franklin, (92d:93008) 

Auchmuty, Giles Globally and rapidly convergent algorithms for symmetric eigenproblems. 
92h:65062 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba; Shalom, Tamir) On the eigenvalues 
of matrices with given upper triangular part. 92c:47015 

Bapat, R. B. (with Sunder, V. S.) On hypergroups of matrices. 92k:20137 

Berman, Abraham (with Shasha, Dafna) Inertia-preserving matrices. 92a:15026 

Bhatia, Rajendra (with Elsner, Ludwig; Krause, Gerd M.) Bounds for the variation of the 
roots of a polynomial and the eigenvalues of a matrix. 92i:12001 

Bojariczyk, Adam W. (with Lutoborski, Adam) Computation of the Euler angles of a 
symmetric 3 x 3 matrix. 92e:15004 

Boyle, Mike (with Handelman, David) The spectra of nonnegative matrices via symbolic 
dynamics. 924:58057 

Bulut, Hamza Algebraic characterizations of the singular value decompositions in the 
transportation problem. 92b:90137 

Bunse-Gerstner, Angelika (with Mehrmann, Volker; Watkins, David S.) An SR algorithm 
for Hamiltonian matrices based on Gaussian elimination. 92a:65111 

— (with Elsner, Ludwig) Schur parameter pencils for the solution of the unitary eigenprob- 
lem. 92¢:65048 

Caldwell, James see Ram, Yitsak M., 92m:70037 

Carstensen, Carsten Linear construction of companion matrices. 92c:15014 

Chang, Xiao Wen see Wang, Jia Song; et al., 92a:15016 

Chen, H.C. see Parlett, Beresford N., 92b:65030 and 92g:65043 

Cheng, Che-Man An approximation problem with respect to symmetric gauge functions 
with application to matrix spaces. 92i:15017 

Chu, Moody T. (with Driessel, Kenneth R.) Constructing symmetric nonnegative matrices 
with prescribed eigenvalues by differential equations. 92h:65063 

Cohen, Stephen D. The Galois group of generic symmetric matrices. 92d:12008 

Deakin, A.S. (with Luke, T. M.) On the inverse eigenvalue problem for matrices. 
92k:65066 

Deif, Assem S. see Rohn, Jiti, 92m:65065 

Deift, Percy (with Li, Luen Chau; Tomei, Carlos) Matrix factorizations and integrable 
systems. 92a:58062 

De Mari, Filippo (with Shayman, Mark A.) Lie algebraic generalizations of Hessenberg 
matrices and the topology of Hessenberg varieties. (see 92b:93006) 

De Moor, Bart L. R. (with Golub, Gene Howard) The restricted singular value decomposi- 
tion: properties and applications. 92k:15012 

Dhesi, Gurjeet S. see Jones, Raymund C., 92a:82069 

Dokovi¢, Dragomir Z. Cyclic polygons, roots of polynomials with decreasing nonnegative 
coefficients, and eigenvalues of stochastic matrices. 92b:15032 

— Unitary similarity of projectors. 92g:15015 

Driessel, Kenneth R. see Chu, Moody T., 92h:65063 

Dudnikov, P. 1. (with Samborskii, S. N.) Endomorphisms of semimodules over semirings 
with idempotent operation. (Russian) 92k:16059 

Elsner, Ludwig see Watkins, David S., 92a:65123; Bunse-Gerstner, Angelika, 92c:65048 and 
Bhatia, Rajendra; et al., 92i:12001 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


1992 


Gilbert, George T. Positive definite matrices and Sylvester’s criterion. 92a:15009 

Givens, C. R. see Groh, D. J.; et al., 92m:65056 

Gohberg, Israel see Ball, Joseph A.; et al., 92c:47015 

Golub, Gene Howard see De Moor, Bart L. R., 92k:15012 

Goodall, Colin R. Eigenshape analysis of a cut-grow mapping for triangles, and its 
application to phyllotaxis in plants. 92f:92001 

Grigorieff, Rolf Dieter Note on von Neumann’s trace inequality. 92h:47024 

Groh, D. J. (with Marshall, R. A.; Kunz, A. B.; Givens, C. R.) An approximation method 
for eigenvectors of very large matrices. 92m:65056 

Grone, Robert On the geometry and Laplacian of a graph. 92f:05069 

Hall, J. 1. Another elementary approach to the Jordan form. 92i:15013 

Handelman, David see Boyle, Mike, 924:58057 

Haviv, Moshe (with Ritov, Ya’acov; Rothblum, Uriel G.) Taylor expansions of eigenvalues 
of perturbed matrices with applications to spectral radii of nonnegative matrices. 
92m:65057 

He, Xu Chu (with Sun, Wen Yu) * Guangyi ni juzhen yinlun. (Chinese) [Introduction to 
generalized inverses of matrices] 92¢e:15008 

Hmamed, A. Sufficient condition for the positive definiteness of symmetric interval 
matrices. 92a:93082 

Hughes, Daniel R. (with Singhi, N. M.) Partitions in matrices and graphs. 92k:05135 

Johnson, Charles Royal (with Nylen, Peter) Largest singular value submultiplicativity. 
92¢:15026 

Jones, Raymund C. (with Dhesi, Gurjeet S.) Some remarks on the eigenvalue spectrum of a 
large symmetric Wigner random-sign matrix. (French summary) 92a:82069 

Kovalenko, S. P. New information about induced matrices. (Russian) 92k:15019 

Krause, Gerd M. see Bhatia, Rajendra; et al., 92i:12001 

Kunz, A. B. see Groh, D. J.; et al., 92m:65056 

Leader, Jeffery J. Limit orbits of a power iteration for dominant eigenvalue problems. 

Lehmann, Nils (with Sommers, Hans-Jiirgen) Eigenvalue statistics of random real matrices. 
92d:82046 

Li, Chi-Kwong (with Tsing, Nam-Kiu) Duality between some linear preserver problems. III. 
c-spectral norms and (skew)-symmetric matrices with fixed singular values. 92b:15038 

— Inequalities relating norms invariant under unitary similarities. 92i:15018 

Li, Luen Chau see Deift, Percy; et al., 92a:58062 

Li, Yan Da see Liu, Xue Wei; et al., 92¢e:65049 

Liu, Xue Wei (with Li, Yan Da) A network method for singular value decomposition of 
matrices. (Chinese. English summary) 92¢:65049 

Luke, T. M. see Deakin, A. S., 92k:65066 

Lutoborski, Adam see Bojaticzyk, Adam W., 92e:15004 

Marcus, Marvin (with Sandy, Markus) Hadamard square roots. 92a:15027 

Marshall, R. A. see Groh, D. J.; et al., 92m:65056 

Martin, Clyde Franklin (with Ammar, Gregory S.) The geometry of the matrix Riccati 
equation and associated eigenvalue methods. (see 92d:93008) 

Mehrmann, Volker see Ammar, Gregory S., 92a:15025 and Bunse-Gerstner, Angelika; et al., 
92a:65111 

Mercer, A. McD. On the asymptotic eigenvalue distribution of certain Hermitian matrices. 
924:47004 

Miminis, G.S. (with Paige, C. C.) Implicit shifting in the QR and related algorithms. 
92¢:65050 

Miranda, M. Emilia F. On the elements and eigenvalues of normal matrices. (Portuguese. 
English summary) (see 92m:00048) 

Nair, M. Thamban Computable error estimates for Newton’s iterations for refining 
invariant subspaces. 92a:65106 

Najman, B. (with Ye, Qiang) A minimax characterization for eigenvalues of Hermitian 
pencils. 92b:49080 

Nylen, Peter see Johnson, Charles Royal, 92c:15026 

Paige, C.C. see Miminis, G. S., 92¢:65050 

Parlett, Beresford N. (with Chen, H.C.) The Lanczos algorithm with indefinite inner 
product. 92g:65043 

— (with Chen, H.C.) Use of indefinite pencils for computing damped natural modes. 
92b:65030 

Pham Van At Diagonal transformation methods for computing the maximal eigenvalue and 
eigenvector of a nonnegative irreducible matrix. 924:65062 

Quinlan, Michael H. Eigenvalue gradients and the linearised elasticity tensor. 92b:73009 

Ram, Yitsak M. (with Caldwell, James) Physical parameters reconstruction of a free-free 
mass-spring system from its spectra. 92m:70037 

Rising, William Applications of generalized inverses to Markov chains. 92g:15033 

Ritov, Ya’acov see Haviv, Moshe; et al., 92m:65057 

Rodman, Leiba see Ball, Joseph A.; et al., 92c:47015 

Rohn, Jiti (with Deif, Assem S.) On the range of eigenvalues of an interval matrix. 
(German summary) 92m:65065 

Rokne, J.G. A characteristic polynomial. 92k:15020 

Rothblum, Uriel G. see Haviv, Moshe; et al., 92m:65057 

Sagitov, M.S. A finite algorithm for splitting a J-symmetric generalized eigenvalue 
problem. (Russian) 924:65063 

Samborskii, S. N. see Dudnikov, P. I., 92k:16059 

Sandy, Markus see Marcus, Marvin, 92a:15027 

Shalom, Tamir see Ball, Joseph A.; et al., 92¢c:47015 

Shasha, Dafna see Berman, Abraham, 92a:15026 

Shayman, Mark A. see De Mari, Filippo, (92b:93006) 

Singhi, N. M. see Hughes, Daniel R., 92k:05135 

Sommers, Hans-Jiirgen see Lehmann, Nils, 92d:82046 

Stern, Ronald Jay (with Wolkowicz, Henry) A note on generalized invariant cones and the 
Kronecker canonical form. 92¢:15018 

Stickel, Eberhard U. Separating eigenvalues using the matrix sign function. 92h:15005 

Sun, Wen Yu see He, Xu Chu; et al., 92e:15008 

Sunder, V.S. see Bapat, R. B., 92k:20137 

Tomei, Carlos see Deift, Percy; et al., 92a:58062 

Tsing, Nam-Kiu see Li, Chi-Kwong, 92b:15038 

Tyrtyshnikov, E. E. Singular values of Cauchy-Toeplitz matrices. 92m:47056 





263 1992 


Wang, Jia Song (with Chang, Xiao Wen) Symmetric solution of a linear matrix equation. 
(Chinese summary) 92a:15016 

Wang, Shou Gen Computing the eigenvalues of modified symmetric matrices. 92k:65070 

Watkins, David S. (with Elsner, Ludwig) Chasing algorithms for the eigenvalue problem. 
92a:65123 

— see also Bunse-Gerstner, Angelika; et al., 92a:65111 

Wolkowicz, Henry see Stern, Ronald Jay, 92e:15018 

Xiao, Ding A proof of the asymptotic behavior of scaled singular value and QR decomposi- 
tions. (Chinese) 92g:65050 

Ye, Dongyi When is the greatest eigenvalue of a parametrized symmetric matrix a convex 
function of the parameter? 92m:49079 

Ye, Qiang see Najman, B., 92b:49080 

Zha, Hong Yuan A numerical algorithm for computing the restricted singular value 
decomposition of matrix triplets. 92m:65061 

Zivkovié, Tomislav P. Eigenvalues of the real generalized eigenvalue equation perturbed by a 
low-rank perturbation. 92m:65058 


15A21 Canonical forms, reductions, classification 


Agra-Coelho, Carlos Decomposition of a singular matrix by factorial methods of data 
analysis. (Portuguese) (see 92g:00024) 

Bart, H. (with Thijsse,G. Ph. A.) Similarity invariants for pairs of upper triangular 
Toeplitz matrices. 92a:15013 

— (with Wimmer, H. K.) Simultaneous reduction to triangular and companion forms of 
pairs of matrices: the case rank(J — AZ) = 1. 92i:15011 

Carstensen, Carsten Linear construction of companion matrices. 92¢:15014 

Chen, Chun Hui (with Sun, Ji Guang) Perturbation bounds for the polar factors. 

Chen, Ying The LU decomposition of No-matrices. (Chinese. English summary) 

Deng, Yuan Bei see Luo, Han; et al., 92b:15021 

Dokovié, Dragomir Z. Unitary similarity of projectors. 92g:15015 

Dym, Harry (with Young, Nicholas) Factorization and the Schur-Cohn matrix of a matrix 
polynomial. 92h:15010 

Gohberg, Israel (with Kaashoek, M. A.; Ran, André C. M.) Matrix polynomials with 
prescribed zero structure in the finite complex plane. 92i:15012 

— (with Rubinstein, Sorin) A classification of upper equivalent matrices. The generic case. 
92£:15009 

Guralnick, Robert M. Similarity of matrices over commutative rings. 92g:15016 

Gustafson, William H. Modules and matrices. 92d:15012 

Hall, J. 1. Another elementary approach to the Jordan form. 92i:15013 

Hong, Yoo Pyo A canonical form under g-equivalence. 92a:15014 

— (with Horn, Roger A.) The Jordan canonical form of a product of a Hermitian and a 
positive semidefinite matrix. 92c:15015 

Horn, Roger A. see Hong, Yoo Pyo, 92c:15015 

Huylebrouck, D. Equivalence of von Neumann regular and idempotent matrices. 92c:15016 

Ikramov, Kh. D. Reducibility conditions and canonical forms of Hamiltonian matrices with 
purely imaginary eigenvalues. (Russian) 92m:15009 

Johnson, C. D. see Zhu, Jianchao, 92b:15024 

Kaashoek, M. A. see Gohberg, Israel; et al., 92i:15012 

Li, Tao Sheng Theoretical derivation of Jordan canonical matrices and a method for finding 
transition matrices. (Chinese. English summary) 92g:15017 

Li Santi, Barbara A. (with Thompson, Robert C.) Simultaneous reduction of a complex 
skew matrix and a Hermitian matrix. 92b:15020 

Luo, Han (with Deng, Yuan Bei) Properties of generalized permutation matrices. (Chinese. 
English summary) 92b:15021 

Murota, Kazuo On the Smith normal form of structured polynomial matrices. 92k:15032 

Ong, Sing-Cheong On equality of invariant subspace lattices of operators. 92b:15022 

Ran, André C. M. see Gohberg, Israel; et al., 92i:15012 

Rubinstein, Sorin see Gohberg, Israel, 92f:15009 

de Sa, Eduardo Marques (with Vieira, Jodo Carlos David) Matrices and submatrices with 
constrained invariant factors. 92m:15010 

Sancho de Salas, Maria Teresa Simultaneous classification of pairs of metrics. (Spanish. 
English summary) (see 92b:00044) 

Shapiro, Helene A survey of canonical forms and invariants for unitary similarity. 
92d:15013 

Sun, Ji Guang see Chen, Chun Hui 

Thijsse, G. Ph. A. see Bart, H., 92a:15013 

Thompson, Robert C. see Li Santi, Barbara A., 92b:15020 

Vieira, Joao Carlos David see de S4, Eduardo Marques, 92m:15010 

Wimmer, H. K. see Bart, H., 92i:15011 

Wa, Hai Rong Applications of commutativity of matrices to a class of decoupled problems. 
(Chinese) 92b:15023 

Young, Nicholas see Dym, Harry, 92h:15010 

Zhu, Jianchao (with Johnson, C. D.) Unified canonical forms for matrices over a 
differential ring. 92b:15024 


Items with secondary classifications in 15A21 

Abgaryan, K. A. Holomorphic quasidiagoralization of a square matrix. (Russian) 
92g:15001 

Aflatonov, S. B. *& AnropuTM BbravcieHHA MaTpHYHON sKcnoHeHTEI. (Russian) [An algorithm 
for computing a matrix exponential] 92j:65064 

Akritas, Alkiviadis G. Sylvester’s form of the resultant and the matrix-triangularization 
subresultant prs method. 92m:12001 

Ammar, Gregory S. (with Mehrmann, Volker) On Hamiltonian and symplectic Hessenberg 
forms. 92a:15025 

Azenhas, Olga (with de Sa, Eduardo Marques) Matrix realizations of Littlewood- 
Richardson sequences. 92b:05083 

Bondarenko, V.M. see Nazarova, L. A.; et al., 92b:16020 

Brockett, Roger W. Dynamical systems that sort lists, diagonalize matrices, and solve linear 
programming problems. 92j:90043 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


15A23 


Brualdi, Richard A. (with Chavey, Keith L.) Elementary divisors and ranked posets with 
application to matrix compounds. 92i:05226 

Cabral, Isabel (with Silva, Fernando C.) Unified theorems on completions of matrix 
pencils. 92k:15024 

Chavey, Keith L. see Brualdi, Richard A., 92i:05226 

Chu, Moody T. A continuous Jacobi-like approach to the simultaneous reduction of real 
matrices. 92a:65130 

Davydov, G. V. (with Davydova, I. M.) Solvability of the system Ax = 0, x > 0, with 
indeterminate coefficients. (Russian) 92c:15004 

Davydova, I. M. see Davydov, G. V., 92c:15004 

De Moor, Bart L. R. (with Golub, Gene Howard) The restricted singular value decomposi- 
tion: properties and applications. 92k:15012 

Ewerbring, L. Magnus (with Luk, Franklin T.) The HK singular value decomposition of 
rank deficient matrix triplets. 92m:65059 

Falk, S. Der Transformationsalgorithmus NOVA und seine Anwendungen. (English 
summary) [The transformation algorithm NOVA and its applications] 92d:65073 

Ford, David J. see Mathieu, Marie-Hélene, 92¢:68086 

Gingold, Harry (with Hsieh, Po-Fang) Note on an algorithm for globally analytic triangu- 
larization of a matrix function. 92j:15004 

Gohberg, Israel (with Reichstein, Boris) On H-unitary and block-Toeplitz H-normal 
operators. 92g:47044 

Golub, Gene Howard see De Moor, Bart L. R., 92k:15012 

Hao, Cheng Gong Canonical form of strongly transitive matrices over lattices. 92m:04004 

Hsieh, Po-Fang see Gingold, Harry, 92j:15004 

Ikramov, Kh. D. Matrix equations and the eigenvalue problem for Hamiltonians and J- 
symmetric matrices. (Russian) 92¢:15019 

Johnson, Charles Royal (with Schreiner, Erik A.) Explicit Jordan form for certain block 
triangular matrices. 92g:15013 

Luk, Franklin T. see Ewerbring, L. Magnus, 92m:65059 

Mathieu, Marie-Hélene (with Ford, David J.) On p-adic computation of the rational form 
of a matrix. 92¢:68086 

Mazko, A. G. Transformations of matrix equations and inequalities. (Russian) 92i:15014 

Mehrmann, Volker see Ammar, Gregory S., 92a:15025 

Melnik, O. M. Invariants of transforming matrices. (Russian) 92c:15010 

Miminis, G.S. (with Paige, C.C.) Implicit shifting in the QR and related algorithms. 
92¢:65050 

Mizohata, Sigeru On hyperbolic matrices. 92f:35099 

Nazarova, L. A. (with Bondarenko, V. M.; Roiter, A. V.) Tame partially ordered sets with 
involution. (Russian) 92b:16020 

Paige, C.C. see Miminis, G. S., 92c:65050 

Reichstein, Boris see Gohberg, Israel, 92g:47044 

Rodman, Leiba (with Shalom, Tamir) Jordan forms of completions of partial upper 
triangular matrices. 92k:15029 

Roiter, A. V. see Nazarova, L. A.; et al., 92b:16020 

de Sa, Eduardo Marques see Azenhas, Olga, 92b:05083 

Schreiner, Erik A. see Johnson, Charles Royal, 92g:15013 

Sergeichuk, V. V. Classification of sesquilinear forms, pairs of Hermitian forms, and 
selfadjoint and isometric operators over the field of quaternions. (Russian) 92i:11041 

Shalom, Tamir see Rodman, Leiba, 92k:15029 

Sherif, Nagwa On optimal symmetric orthogonalization and square roots of a normal 
matrix. 92g:65049 

Silva, Fernando C. see Cabral, Isabel, 92k:15024 

Sun, Ji Guang Perturbation expansions for invariant subspaces. 92k:47029 

Zhang, Yao Determination of generalized diagonal product dominant matrices and their 
applications. (Chinese. English summary) 92b:65034 

Zhdanova, Yu. D. Spectral expansion for a function of a matrix that is connected with a 
finite solvable group. (Russian) 92e:20011 


15A22 Matrix pencils [see also 47A56] 


Belishev, M. 1. (with Putov, M. V.) A finite-dimensional inverse spectral problem for a 
pencil of Hermitian quadratic forms. (Russian. English summary) 92c:15017 

Krupnik, I. N. Decomposition of a matrix pencil into linear factors. (Russian) 92d:15014 

Parlett, Beresford N. Symmetric matrix pencils. 92m:15011 

Putov, M. V. see Belishev, M. I., 92c:15017 

Stern, Ronald Jay (with Wolkowicz, Henry) A note on generalized invariant cones and the 
Kronecker canonical form. 92¢e:15018 

Tsing, Nam-Kiu (with Uhlig, Frank) Inertia, numerical range, and zeros of quadratic forms 
for matrix pencils. 92a:15015 

Uhlig, Frank see Tsing, Nam-Kiu, 92a:15015 

Wolkowicz, Henry see Stern, Ronald Jay, 92e:15018 

Zayachkovskii, V.S. Divisors of operator pencils, and invariant subspaces of their 
linearizers. (Russian) 92e:15019 


Items with secondary classifications in 15A22 

Atkinson, M. D. Extensions to the Kronecker-Weierstrass theory of pencils. 92g:15039 

Bunse-Gerstner, Angelika (with Elsner, Ludwig) Schur parameter pencils for the solution of 
the unitary eigenproblem. 92c:65048 

Elsner, Ludwig see Bunse-Gerstner, Angelika, 92c:65048 

Gassé6, Maite (with Hernandez, Vicente G.) Factorization problems for nonmonic matrix 
polynomials. 924:15015 

Griepentrog, Eberhard Transformation methods for differential-algebraic equations. 
92£:65081 

Hernandez, Vicente G. see Gassé, Maite, 92d:15015 


15A23 Factorization of matrices 


Barrlund, Anders Perturbation bounds for the LDL” and LU decompositions. 92j:15068 
Bevis, Jean H. (with Hall, Frank J.) Integer LU-factorizations. 92c:15018 





15A23 


— (with Hall, Frank J.) LDL" factorizations of adjacency matrices where D is block 
diagonal. 92k:15033 

Bri, Rafael (with Rodman, Leiba; Schneider, Hans) Extensions of Jordan bases for 
invariant subspaces of a matrix. 92b:15025 

De Moor, Bart L. R. (with Zha, Hong Yuan) A tree of generalizations of the ordinary 
singular value decomposition. 92e:15020 

Gassé, Maite (with Hernandez, Vicente G.) Factorization problems for nonmonic matrix 
polynomials. 92d:15015 

Hall, Frank J. see Bevis, Jean H., 92c:15018 and 92k:15033 

Halmos, Paul R. Bad products of good matrices. 92e:15021 

Hernandez, Vicente G. see Gassé, Maite, 92d:15015 

Luo, Zhi-Quan (with Tseng, Paul) A decomposition property for a class of square matrices. 
92f:15010 

Prepelita, Valeriu Primitive matrices and factorizations. 92k:15034 

Prokip, V.M. Divisibility and one-sided equivalence of polynomial matrices. (Russian. 
Ukrainian summary) 92b:15026 

— Factorization of a matrix polynomial into components with prescribed characteristic 
polynomials. (Russian. English summary) 92g:15018 

Raghavan, K. The application of nonsingular factorization algorithm for the factorization of 
the nth order Hadamard matrix. 

Rodman, Leiba see Bri, Rafael; et al., 92b:15025 

Schneider, Hans see Bri, Rafael; et al., 92b:15025 

Sun, Ji Guang Perturbation bounds tor the Cholesky and QR factorizations. 92g:15019 

Tan, Shao Hua see Vandewalle, Joos, 92g:15020 

Tseng, Paul see Luo, Zhi-Quan, 92f:15010 

Vandewalle, Joos (with Tan, Shao Hua) Properties of minimal first degree factorizations for 
arbitrary rational matrices. 92g:15020 

Zha, Hong Yuan Implicit QR factorization of a product of three matrices. 92k:15035 

— see also De Moor, Bart L. R., 92e:15020 


Items with secondary classifications in 15A23 

Anderson, Edward J. (with Bai, Zhao Jun; Dongarra, Jack J.) Generalized QR factorization 
and its applications. 92j:65050 

Azenhas, Olga (with de Sa, Eduardo Marques) Matrix realizations of Littlewood- 
Richardson sequences. 92b:05083 

Bai, Zhao Jun see Anderson, Edward J.; et al., 92j:65050 

Dongarra, Jack J. see Anderson, Edward J.; et al., 92j:65050 

Gass6, Maite see Hernandez, Vicente G., 92g:34011 

Gohberg, Israel (with Kaashoek, M. A.; Woerdeman, H. J.) A maximum entropy principle 
in the general framework of the band method. 92b:47020 

Griepentrog, Eberhard Transformation methods for differential-algebraic equations. 
92f:65081 

Hernandez, Vicente G. (with Gass6, Maite) Faciorization of matrix polynomials in the 
solution of nonmonic matrix differential equations. 92g:34011 

Kaashoek, M. A. see Gohberg, Israel; et al., 92b:47020 

Kiyasov, S. N. Factorization of some second-order matrix functions. (Russian) (see 
92e:00010) 

Kniippel, F. (with Nielsen, Klaus) SL(V) is 4-reflectional. 92f:51020 

Kovalenko, S. P. New information about induced matrices. (Russian) 92k:15019 

Kublanovskaya, V. N. Some factorizations of matrix and scalar polynomials. (Russian) 
92a:15024 

La, Sen Quan Generalized QR factorization and reduced rank approximation of a matrix. 
(Chinese. English summary) 92j:65062 

Magolu, Monga-Made Sparse block approximate factorizations for singular problems. (see 
92m:65053) 

Mathias, Roy Matrices with positive definite Hermitian part: inequalities and linear 
systems. 92k:15041 

Nielsen, Kiaus see Kniippel, F., 92f:51020 

Ran, André C. M. (with Rodman, Leiba) On symmetric factorizations of rational matrix 
functions. 92m:47026 

Rodman, Leiba see Ran, André C. M., 92m:47026 

Rohn, Jiti A theorem on P-matrices. 92j:15012 

de Sa, Eduardo Marques see Azenhas, Olga, 92b:05083 

Valiaho, H. A polynomial-time test for M-matrices. 92g:15030 

Vaserstein, Leonid N. (with Wheland, E.) Commutators and companion matrices over rings 
of stable rank 1. 92a:19002 

Wheland, E. see Vaserstein, Leonid N., 92a:19002 

Woerdeman, H. J. see Gohberg, Israel; et al., 92b:47020 

Yuan, Jin Yun see Zhou, Rong Fu; et al. 

Zhou, Rong Fu (with Yuan, Jin Yun) A study on comparison theorems for matrix splittings 
and monotone convergence of matrix splittings. (Chinese. English summary) 


15A24 Matrix equations and identities 


Chang, Xiao Wen see Wang, Jia Song; et al., 92a:15016 

Ikramov, Kh. D. Matrix equations and the eigenvalue problem for Hamiltonians and J- 
symmetric matrices. (Russian) 92c:15019 

Ivanov, Ivan Ganchev (with Petkov, Milko G.) On a linear matrix equation. (Bulgarian. 
English summary) (see 92a:00041) 

Jédar, Lucas (with Navarro, Enrique) Rectangular co-solutions of polynomial matrix 
equations and applications. 92e:15022 


Kenney, Charles S. (with Laub, Alan J.) Rational iterative methods for the matrix sign 
function. 92j:15009 

Laub, Alan J. see Kenney, Charles S., 92j:15009 

Malaina, J.L. (with de la Sen, Manuel) Extended Chebyshev systems for the expansions of 
exp(At). 92b:15027 , 

Mazko, A.G. Transformations of matrix equations and inequalities. (Russian) 92i:15014 

Navarro, Enrique see Jédar, Lucas, 92e:15022 

Ozgiiler, A. Bilent The equation AX B + CYD=E over a principal ideal domain. 
92¢:15020 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


Petkov, Milko G. see Ivanov, Ivan Ganchev, (92a:00041) 

Rubio Navarro, Gregorio see Villanueva Micé, R. J., (92m:00049) 

de la Sen, Manuel see Malaina, J. L., 92b:15027 

Villanueva Micé, R. J. (with Rubio Navarro, Gregorio) Construction of Green matrix 
functions. (Spanish. English summary) (see 92m:00049) 
Wang, Guo Rong! (with Wang, Zheng) A simplified determinant representation for optimal 
approximate solutions to the matrix equation AX H = K. (Chinese. English summary) 
Wang, Jia Song (with Chang, Xiao Wen) Symmetric solution of a linear matrix equation. 
(Chinese summary) 92a:15016 

Wang, Zheng see Wang, Guo Rong’; et al. 

Zhang, Kun Long Solutions to matrix equations AX = B in a distributive lattice L. 
(Chinese. English summary) 


Items with secondary classifications in 15A24 


Bapat, R. B. (with Sunder, V.S.) On hypergroups of matrices. 92k:20137 

Berman, Kenneth A. (with Halpern, Herbert; Kaftal, Victor; Weiss, Gary) Some C, and C¢ 
norm inequalities related to the paving problem. 92b:47010 

Birget, Jean-Camille see Klarner, David A.; et al., 92g:20093 

Datta, Biswa Nath (with Saad, Youcef) Arnoldi methods for large Sylvester-like observer 
matrix equations, and an associated algorithm for partial spectrum assignment. 
92b:65032 

De Moor, Bart L. R. (with Golub, Gene Howard) The restricted singular value decomposi- 
tion: properties and applications. 92k:15012 

Golub, Gene Howard see De Moor, Bart L. R., 92k:15012 

Gustafson, William H. Modules and matrices. 92d:15012 

Halpern, Herbert see Berman, Kenneth A.; et al., 92b:47010 

ten Have, Gabriélle Matrix solutions of the equation X" = A. 92c:11022 

(Jacyno, Z.) see Shen, Xuemin and Zelentsovskii, A. L. 

Jing, SiCong (with Ruan, Tu Nan) A new form of the Baker-Hausdorff equation. (Chinese) 
92¢:22016 

Jédar, Lucas (with Morera, José Luis) Solution of boundary value probl 
order matrix difference equations. (Spanish. English summary) 924:39003 

— see also Navarro, Enrique, 92h:34046 and Legua Fernandez, Matilde; et al., (92m:65053) 

Kaftal, Victor see Berman, Kenneth A.,; et al., 92b:47010 

Klarner, David A. (with Birget, Jean-Camille; Satterfield, Wade) On the undecidability of 
the freeness of integer matrix semigroups. 92g:20093 

Kotkowski, Bogdan (with Waszak, Aleksander) A contribution to the theory of calculus of 
matrices. 92b:15009 

Kuo, Hui Fang Matrices originating from certain difference equations. 92h:39002 

Law, A. G. see Legua Fernandez, Matilde; et al., (92m:65053) 

Leader, Jeffery J. A weakly chaotic iteration in R". 92i:58121 

Legua Fernandez, Matilde (with Jodar, Lucas; Law, A.G.) Existence of numerical solutions 
for singular partial differential systems. (see 92m:65053) 

Lerer, Leonid (with Rodman, Leiba; Tismenetsky, Miron) Inertia theorems for matrix 
polynomials. 92k:15026 

Morera, José Luis see Jédar, Lucas, 92d:39003 

Navarro, Enrique (with Jodar, Lucas) Solving two-point boundary value p for the 
nonmonic regular matrix differential equation AX ?)(t) — BX(t) = F(t). 92h:34046 

Prokip, V. M. Factorization of a matrix polynomial into components with prescribed 
characteristic polynomials. (Russian. English summary) 92g:15018 

Ran, André C. M. (with Rodman, Leiba) Stable Hermitian solutions of discrete algebraic 
Riccati equations. 92k:93047 

— (with Rodman, Leiba) Stable solutions of real algebraic matrix Riccati equations. 
92k:93061 

Rodman, Leiba see Lerer, Leonid; et al., 92k:15026; Ran, André C. M., 92k:93047 and 
92k:93061 

Ruan, Tu Nan see Jing, Si Cong; et al., 92¢:22016 

Saad, Youcef see Datta, Biswa Nath, 92b:65032 

Satterfield, Wade see Klarner, David A.; et al., 92g:20093 

Segercrantz, J. Improving the Cayley-Hamilton equation for low-rank transformations. 
92k:15021 

Shen, Xuemin Comments on: “Explicit direct solution of the Lyapunov matrix equation” [J. 
Franklin Inst. 326 (1989), no. 6, 793-801; MR 91a:34035] by Z. Jacyno. 

So, W. (with Thompson, Robert C.) Products of exponentials of Hermitian and complex 
symmetric matrices. 92f:15013 

Sunder, V.S. see Bapat, R. B., 92k:20137 

Thompson, Robert C. see So, W., 92f:15013 

Tismenetsky, Miron see Lerer, Leonid; et al., 92k:15026 

Tumashev, Yu. S. Definition of the convolution of inverse matrices defined in the class of 
functions of two variables. (Russian) 92h:15018 

Waszak, Aleksander see Kotkowski, Bogdan, 92b:15009 

Wei, Wan Di A generalization of group difference sets and binary (v,k,A)-systems on r and 
s. 1. 92k:05026 

Weiss, Gary see Berman, Kenneth A.,; et al., 92b:47010 

Zelentsovskii, A. L. Comments on: “Explicit direct solution of the Lyapunov matrix 
equation” (J. Franklin Inst. 326 (1989), no. 6, 793-801; MR 91a:34035] by Z. Jacyno. 

Zheng, Yu Mei The Hamilton-Cayley theorem over a commutative near-ring. (Chinese) 
92g:15022 


for second- 








15A27 Commutativity 


Stuart, Jeffrey L. (with Weaver, James R.) Matrices that commute with a permutation 
matrix. 92k:15036 
Weaver, James R. see Stuart, Jeffrey L., 92k:15036 


Items with secondary classifications in 15A27 
Gustafson, William H. Modules and matrices. 92d:15012 
Hochwald, Scott H. Linear algebra by analogy. 92k:15002 
Indira, R. see Meenakshi, Ar., 92a:15005 





265 1992 


Meenakshi, Ar. (with Indira, R.) On concovariance of the Moore-Penrose inverse. 
92a:15005 

Neuman, Frantisek Ordered groups, commuting matrices and iterations of functions in 
transformations of differential equations. 92m:34016 


15A30 Algebraic systems of matrices [see also 16S50, 20Gxx, 
20Hxx] 


Berger, Marc Aron (with Wang, Yang) Bounded semigroups of matrices. 92m:15012 

Dehghan, M. A. (with Radjabalipour, Mehdi) Matrix algebras and Radjavi’s trace 
condition. 92a:15017 

Mathes, D. Benjamin (with Omladit, Matjaz; Radjavi, Heydar) Linear spaces of nilpotent 
matrices. 92g:15021 

Omladié, Matjaz see Mathes, D. Benjamin; et al., 92g:15021 

Radjabalipour, Mehdi see Dehghan, M. A., 92a:15017 

Radjavi, Heydar see Mathes, D. Benjamin; et al., 92g:15021 

Wang, Yang see Berger, Marc Aron, 92m:15012 

Items with secondary classifications in 15A30 

Cao, Chong Guang Multiplicative functions of n x n matrix semigroups over arbitrary 
fields. (Chinese. English summary) 92k:20122 

Dokovié, Dragomir Z. Unitary similarity of projectors. 92g:15015 

Higman, D.G. Computations related to coherent configurations. 92a:05032 

Hinson, Edward K. Word length in elementary matrices. 92i:20049 

Jédar, Lucas see Navarro, Enrique, 92h:34046 

Kerner, Richard Graduation Z; et la racine cubique de l’opérateur de Dirac. (English 
summary) [Z3-graded algebras and the cube root of the Dirac operator] 92c:81050 

Linnell, P. A. Zero divisors and group von Neumann algebras. 92e:22013 

Navarro, Enrique (with Jodar, Lucas) Solving two-point boundary value problems for the 
nonmonic regular matrix differential equation AX)(t) — BX(t) = F(t). 92h:34046 

Peters, Justin R. (with Poon, Yiu Tung) Invariants for triangular AF algebras. 92j:47081 

Poon, Yiu Tung see Peters, Justin R., 92j:47081 

Tyrtyshnikov, E. E. %& Ténauuesbi MaTpHubl, HeKOTOpbie HX aHasIOrH H NIPHIOKeHUA. 
(Russian) [Toeplitz matrices, some of their analogues and applications] 92h:65045 


15A33 Matrices over special rings (quaternions, finite fields, etc.) 


Butkovié, P. (with Cuninghame-Green, R. A.) On the regularity of matrices in min algebra. 
92b:15028 


Chen, Long Xuan Definition of determinant and Cramer solutions over the quaternion field. 


92£:15011 

— Inverse matrix and properties of double determinant over quaternion field. 92e:15023 

Cuninghame-Green, R. A. see Butkovit, P., 92b:15028 

Jiang, Zhi Min? (with Shao, Jia Yu) On the set of indices of convergence for reducible 
matrices. 92e:15024 

Jin, Zhen see Li, Gui Rong; et al. 

Li, Gui Rong (with Song, Wen Jie; Jin, Zhen) A complete characterization of symmetric 
primitive matrices with exponent 2n — 6. (Chinese. English summary) 

Mousouris, Nick see Porter, A. Duane, 92h:15011 

Porter, A. Duane (with Mousouris, Nick) Ranked Hermitian matrix equations. 92h:15011 

Scully, Daniel J. Maximal rank-one spaces of matrices over chain semirings. I. u-spaces. 
92b:15029 

Shao, Jia Yu see Jiang, Zhi Min”, 92e:15024 

Shi, Li Jie see Zhao, Xiao Dong; et al. 

Silva, Fernando C. Matrices with nonzero entries. 92a:15018 

Song, Wen Jie see Li, Gui Rong; et al. 

Tu, Bo Xun Weak direct products and weak circular products of matrices over the division 
ring of real quaternions. (Chinese. English summary) 

Zhang, Shu Qing Some theorems on self-conjugate matrices over strong p-division rings. 
(Chinese. English summary) 

Zhao, Xiao Dong (with Shi, Li Jie) Some properties of matrices over commutative rings. 
(Chinese. English summary) 

Zheng, Yu Mei The Hamilton-Cayley theorem over a commutative near-ring. (Chinese) 
92g:15022 


Items with secondary classifications in 15A33 


Alon, Noga (with Tarsi, Michael) A nowhere-zero point in linear mappings. 92a:11147 

Bapat, R. B. see Prasad, K. Manjunatha; et al., 92a:15006 

Brualdi, Richard A. (with Liu, Bo Lian) Hall exponents of Boolean matrices. 92a:05084 

DeMeyer, Frank (with Kakakhail, Hainya) Generalized equivalence of matrices over 
Priifer domains. 92g:13024 

Dokovié, Dragomir Z. (with Li, Chi-Kwong; Rodman, Leiba) Isometries of symmetric 
gauge functions. 92d:20063 

Gelfand, I. M. (with Retakh, V.S.) Determinants of matrices over noncommutative rings. 
(Russian) 92k:15018 

Goh, William M. Y. (with Schmutz, Eric) A central limit theorem on GL, (F,). 92f:11176 

Hong, Ho S. Two expansion theorems by diagonal elements for the permanent and the 
determinant. 92g:15010 

Kakakhail, Hainya see DeMeyer, Frank, 92g:13024 

Katre, S. A. (with Khule, Sangita A.) A discriminant criterion for matrices over orders in 
algebraic numbers fields to be sums of squares. 92m:11125 

Khule, Sangita A. see Katre, S. A., 92m:11125 

Lerer, Leonid (with Rodman, Leiba; Tismenetsky, Miron) Inertia theorems for matrix 
polynomials. 92k:15026 

Li, Chi-Kwong see-Dokovi¢, Dragomir Z.,; et al., 92d:20063 

Liu, Bo Lian (with Shao, Jia Yu) Characterization of primitive extremal matrices. 
92h:05087 

— see also Brualdi, Richard A., 92a:05084 

Liu, Chun Lin Classification and identification of Mébius transformations in R>. (Chinese. 
English summary) 92¢:51003 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


15A42 


McCasland, Roy L. (with Moore, Marion E.) On unimodular complements. 92f:15006 

Moore, Marion E. see McCasland, Roy L., 92f:15006 

Ozgiiler, A. Bilent The equation AX B + CY D=E over a principal ideal domain. 
92c:15020 

Prasad, K. Manjunatha (with Rao, K. P. S. Bhaskara; Bapat, R. B.) Generalized inverses 
over integral domains. II. Group inverses and Drazin inverses. 92a:15006 

Rao, K. P.S. Bhaskara see Prasad, K. Manjunatha; et al., 92a:15006 

Retakh, V.S. see Gelfand, I. M., 92k:15018 

Rodman, Leiba see-Dokovi¢é, Dragomir Z.; et al., 92d:20063 and Lerer, Leonid; et al., 
92k:15026 

Schmutz, Eric see Goh, William M. Y., 92f:11176 

Seidl, Helmut see Weber, Andreas, 92f:20074 

Shao, Jia Yu see Liu, Bo Lian; et al., 92h:05087 

Skula, Ladislav Linear transforms supporting circular convolution on residue class rings. 
(Russian summary) 92a:11025 

Tarsi, Michael see Alon, Noga, 92a:11147 

Tismenetsky, Miron see Lerer, Leonid; et al., 92k:15026 

Weber, Andreas (with Seidl, Helmut) On finitely generated monoids of matrices with 
entries in N. (French summary) 92f:20074 

Xi, Bo Yan A general form of the minimum-maximum theorem for eigenvalues of self- 
conjugate quaternion matrices. (Chinese. English summary) 92g:15025 

Zaballa, Ion Pole assignment and additive perturbations of fixed rank. 924:93068 


15A36 Matrices of integers [see also 11C20] 


Barrett, Wayne W. (with Jarvis, Tyler J.) Spectral properties of a matrix of Redheffer. 
92k:15037 

Bhat, B. V. Rajarama On greatest common divisor matrices and their applications. 
92k:15038 

Jarvis, Tyler J. see Barrett, Wayne W., 92k:15037 

Rubio Navarro, Gregorio Boundary value problems for systems of differential equations 
with constant coefficients. (Spanish. English summary) (see 92m:00049) 

Wan, Hong Hui The structure of the class /p(R, S) of (0, 1)-matrices that cover a matrix P. 
(Chinese. English summary) 


Items with secondary classifications in 15A36 


Bapat, R. B. (with Sunder, V.S.) On hypergroups of matrices. 92k:20137 

Chillag, David Nonnegative matrices, Brauer characters, normal subsets, and powers of 
representation modules. 92h:20017 

Craigen, R. Embedding rectangular matrices in Hadamard matrices. 92e:05021 

Erdahl, Robert M. see Ryshkov, S. S., 92i:05056 

Hartfiel, D. J. Full patterns in truncated transportation polytopes. 92h:52011 

ten Have, Gabriélle Matrix solutions of the equation X" = A. 92¢:11022 

Jédar, Lucas see Rubio Navarro, Gregorio, (92b:00044); Legua Fernandez, Matilde, 
(92b:00044) and (92b:00044) 

Kearton, Cherry (with Steenbrink, J. H.M.) Spherical algebraic knots increase with 
dimension. 92j:57015 

Kim, Ki Hang (with Roush, F. W.) Williams’s conjecture is false for reducible subshifts. 
92j:54055 

Legua Fernandez, Matilde (with Jédar, Lucas) Matrix boundary value problems: approxi- 
mate solutions and error bounds. (Spanish. English summary) (see 92b:00044) 

— (with Jédar, Lucas) Explicit solutions of boundary value problems for Euler matrix 
equations. (Spanish. English summary) (see 92b:00044) 

Lombardi, Giovanni (with Rebaudo, Rina) Properties of some special Toeplitz matrices 
whose elements are 0 or 1. (see 92k:65004) 

Ozgiiler, A. Billent The equation AX B + CY D=E over a principal ideal domain. 
92¢:15020 

Rebaudo, Rina see Lombardi, Giovanni, (92k:65004) 

Roush, F. W. see Kim, Ki Hang, 92j:54055 

Rubio Navarro, Gregorio (with Jédar, Lucas) Solution of boundary value problems by 
Green matrix functions. (Spanish. English summary) (see 92b:00044) 

Ryshkov, S.S. (with Erdahl, Robert M.) Dual systems of integer vectors and their 
applications in the theory of (0, 1)-matrices. (Russian) 92i:05056 

de Sa, Eduardo Marques (with Vieira, Joao Carlos David) Matrices and submatrices with 
constrained invariant factors. 92m:15010 

Steenbrink, J. H. M. see Kearton, Cherry, 92j:57015 

Sunder, V.S. see Bapat, R. B., 92k:20137 

Vieira, Joéo Carlos David see de Sd, Eduardo Marques, 92m:15010 

Wang, Zhi Xiong Waring’s problem for matrices of integers. (Chinese) 92¢:11100 

Zhang, Xian Mo G-matrices of order 19. 92k:05034 


15A39 Linear inequalities 


Thiere, Gisbert Berechnung von Fehlerschranken fiir Systeme linearer Ungleichungen. 
[Computing of error bounds for systems of linear inequalities] 92k:15039 


Items with secondary classifications in 15A39 

Ma, Chen A new constructive method for systems of linear inequalities Ax < b. (Chinese. 
English summary) 92h:65044 

Mangasarian, O. L. Convergence of iterates of an inexact matrix splitting algorithm for the 
symmetric monotone linear complementarity problem. 92j:90081 

Rohn, Jizi An existence theorem for systems of linear equations. 92d:15003 


15A42 Inequalities involving eigenvalues and eigenvectors 


Cohen, Nir (with Lewkowicz, Izchak) Bounds for singular values based on the eigenvectors. 
92a:15019 

Duarte, Anténio Leal Cases of equality in some inequalities of matrix theory. (Portuguese. 
English summary) (see 92g:00024) 

Laszlé, Lajos Upper bounds for matrix diagonals. 92g:15023 





15A42 


Lei, Tian Gang On the C-congruence numerical radii. 92g:15024 

Lewkowicz, Izchak see Cohen, Nir, 92a:15019 

Lieb, Elliott H. (with Siedentop, Heinz) Convexity and concavity of eigenvalue sums. 
92j:15010 

Overton, Michael L. (with Womersley, Robert S.) On the sum of the largest eigenvalues of a 
symmetric matrix. 92m:15013 

Siedentop, Heinz see Lieb, Elliott H., 92j:15010 

Womersley, Robert S. see Overton, Michael L., 92m:15013 

Xi, Bo Yan A general form of the minimum-maximum theorem for eigenvalues of self- 
conjugate quaternion matrices. (Chinese. English summary) 92g:15025 

— Singular value inequalities for quaternion matrix products. (Chinese. English summary) 


Items with secondary classifications in 15A42 


Bapat, R. B. An interlacing theorem for tridiagonal matrices. 92c:15007 

Barrett, Wayne W. (with Jarvis, Tyler J.) Spectral properties of a matrix of Redheffer. 
92k:15037 

Bhatia, Rajendra (with Elsner, Ludwig; Krause, Gerd M.) Bounds for the variation of the 
roots of a polynomial and the eigenvalues of a matrix. 92i:12001 

— (with Davis, Chandler; Kittaneh, Fuad) Some inequalities for commutators and an 
application to spectral variation. 92j:47023 

Cabral, Isabel (with Silva, Fernando C.) Unified theorems on completions of matrix 
pencils. 92k:15024 


Chen, Yong Yi Strict monotonicity conditions for the spectral radii of nonnegative matrices. 


(Chinese. English summary) 

Chu, Moody T. Least squares approximation by real normal matrices with specified 
spectrum. 92a:65131 

Davis, Chandler see Bhatia, Rajendra; et al., 92j:47023 

Etsner, Ludwig see Bhatia, Rajendra; et al., 92i:12001 

Grigorieff, Rolf Dieter Note on von Neumann’s trace inequality. 92h:47024 

Hari, Vjeran On pairs of almost diagonal matrices. 924:65060 

Hertz, David Simple bounds on the extreme eigenvalues of Toeplitz matrices. 92j:15005 

Hill, R. O., Jr. (with Parlett, Beresford N.) Refined interlacing properties. 92m:15007 

Horn, Roger A. The Hadamard product. (see 92a:15001) 

Jarvis, Tyler J. see Barrett, Wayne W., 92k:15037 

Johnson, Charles Royal (with Nylen, Peter) Largest singular value submultiplicativity. 
92c:15026 

Kittaneh, Fuad see Bhatia, Rajendra; et al., 92j:47023 

Knyazev, Andrei Viadimirovich (with Lebedev, V.1.; Skorokhodov, A. L.) The Temple- 
Lehmann-type methods in iterative algorithms. 92h:65064 

Komaroff, N. Rearrangement and matrix product inequalities. 92d:26035 

Kontovasilis, Kimon (with Plemmons, Robert J.; Stewart, William J.) Block cyclic SOR for 
Markov chains with p-cyclic infinitesimal generator. 92i:65068 

Kraaijevanger, J. F.B. M. A characterization of Lyapunov diagonal stability using 
Hadamard products. 92c:15013 

Krause, Gerd M. see Bhatia, Rajendra; et al., 92i:12001 

Lebedev, V. I. see Knyazev, Andrei Vladimirovich; et al., 92h:65064 

Mohar, Bojan Eigenvalues, diameter, and mean distance in graphs. 92d:05105 

Najman, B. (with Ye, Qiang) A minimax characterization for eigenvalues of Hermitian 
pencils. 92b:49080 

Nylen, Peter see Johnson, Charles Royal, 92c:15026 

de Oliveira, Graciano Interlacing inequalities. Matrix groups. 92k:15027 

Parlett, Beresford N. see Hill, R. O., Jr., 92m:15007 

Plemmons, Robert J. see Kontovasilis, Kimon; et al., 92i:65068 

Silva, Fernando C. see Cabral, Isabel, 92k:15024 

Skorokhodov, A. L. see Knyazev, Andrei Vladimirovich; et al., 92h:65064 

Stewart, G. W. Two simple residual bounds for the eigenvalues of a Hermitian matrix. 
92j:15007 

Stewart, William J. see Kontovasilis, Kimon; et al., 92i1:65068 

Wang, Bo Ying (with Zhang, Fu Zhen) Some inequalities for the eigenvalues of the product 
of positive semidefinite Hermitian matrices. 92j:15014 

Ye, Qiang see Najman, B., 92b:49080 

Zhang, Fu Zhen see Wang, Bo Ying, 92j:15014 


15A45 Miscellaneous inequalities involving matrices 


Baksalary, Jerzy K. (with Puntanen, Simo) An inequality for the trace of matrix product. 
92m:15014 

— (with Schipp, Bernhard; Trenkler, Gétz) Some further results on Hermitian-matrix 
inequalities. 92m:15015 

Cerdeira, J. Orestes (with Faria, Isabel) On the complexity of determining a necessary 
condition for determinantal inequalities. (Portuguese. English summary) (see 92m:00048) 

Faria, Isabel see Cerdeira, J. Orestes, (92m:00048) 

(Hao, Zhi Chuan) see Zhang, Fu Zhen 

Long, Yong Hong! Generalizations of Bellman inequalities and a conjecture of Bellman. 
(Chinese. English summary) 

Ma, Li Zhuang Some trace inequalities for nonnegative definite matrices and related 
problems of Richard Bellman. (Chinese. English summary) 92d:15016 

Mao, Guo Ping see Pang, Ming Xian; et al. 

Okubo, Kazuyoshi A Cauchy-Schwarz type norm inequality. 92e:15025 

Pang, Ming Xian (with Mao, Guo Ping) Generalizations of diagonal dominance for 
matrices and its applications. (Chinese summary) 

Puntanen, Simo see Baksalary, Jerzy K., 92m:15014 

Schipp, Bernhard see Baksalary, Jerzy K.; et al., 92m:15015 

Spijker, Marc N. On a conjecture by LeVeque and Trefethen related to the Kreiss matrix 
theorem. 92h:15012 

Trenkler, Gotz see Baksalary, Jerzy K.; et al., 92m:15015 

Yang, Hu Two new classes of the generalized Kantorovich inequalities and their applica- 
tions. 92m:15016 

Zhang, Fu Zhen Comment: “An inequality for Hermitian matrices” [Math. Practice Theory 
1985, no. 4, 59-61; MR 87h:15016] by Z. C. Hao. (Chinese) 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


Items with secondary classifications in 15A45 

Baksalary, Jerzy K. (with Mitra, Sujit Kumar) Left-star and right-star partial orderings. 
92b:15005 

Bapat, R. B. A note on the permanental Hadamard inequality. 92k:15016 

Barrlund, Anders Perturbation bounds for the LDL” and LU decompositions. 92j:15008 

Bunce, John W. The Binet-Cauchy theorem and inequalities for the Schur power matrix. 
92k:15047 

Chen, Ling Inequalities for partial traces of matrix exponentials. (Chinese. English 
summary) 

Cheng, Che-Man An approximation problem with respect to symmetric gauge functions 
with application to matrix spaces. 92i:15017 

Cohen, Nir (with Lewkowicz, Izchak) Bounds for singular values based on the eigenvectors. 
92a:15019 

Dell’Antonio, Gianfausto (with Nesi, V.) A scalar inequality which bounds the effective 
conductivity of composites. 92e:78002 

Do, Seok-Su (with Hwang, Suk Geun) Some rationally looking faces of Q,, having irrational 
minimum permanents. 92j:15002 

Grigorieff, Rolf Dieter Note on von Neumann’s trace inequality. 92h:47024 

Hartfiel, D. J. Tracking in matrix systems. 92k:15046 

Horn, Roger A. The Hadamard product. (see 92a:15001) 

Hu, Hui (with Olkin, Ingram) A numerical procedure for finding the positive definite 
matrix closest to a patterned matrix. 

Hwang, Suk Geun The monotonicity of the permanent function. 92i:15008 

— see also Do, Seok-Su, 92j:15002 

Jensen, D. R. (with Ramirez, D. E.) Dispersion-diminishing transformations. 92b:15008 

Johnson, Charles Royal (with Nylen, Peter) Largest singular value submultiplicativity. 
92c:15026 

Kimel'fel’d, B. N. On inequalities of Schur type for Hermitian matrices and characters of 
unitary groups. 92b:15035 

Laszl6, Lajos Upper bounds for matrix diagonals. 92g:15023 

Lewkowicz, Izchak see Cohen, Nir, 92a:15019 

Mathias, Roy The equivalence of two partial orders on a convex cone of positive semidefin- 
ite matrices. 92i:15010 

— Matrices with positive definite Hermitian part: inequalities and linear systems. 92k:15041 

McEachin, R. A sharp estimate in an operator inequality. 92h:47009 

Mitra, Sujit Kumar see Baksalary, Jerzy K., 92b:15005 

Mitrinovié, Dragoslav S. (with Peéari¢é, Josip E.) Interpolations of determinantal inequali- 
ties of Jensen’s type. 92¢:26013 

Nevdal, Geir A comment on Parrott’s theorem. 92g:15038 

Nesi, V. see Dell’Antonio, Gianfausto, 92e:78002 

Nylen, Peter see Johnson, Charles Royal, 92c:15026 

Olkin, Ingram see Hu, Hui 

Overton, Michael L. (with Womersley, Robert S.) On the sum of the largest eigenvalues of a 
symmetric matrix. 92m:15013 

Petari¢, Josip E. see Mitrinovi¢é, Dragoslav S., 92¢:26013 

Pekarev, E. L. A note on extreme points of the intersection of operator segments. 
92d:47027 

Puschmann, Heinrich Weitere unzulassige Abwandlungen der Vermutung von Wilkinson. 
(English summary) [Further invalid modifications of Wilkinson’s conjecture] 92a:15007 

Ramirez, D. E. see Jensen, D. R., 92b:15008 

Rhodius, Adolf Uber explizite Formeln fiir Ergodizitatskoeffizienten. [On explicit formulas 
for coefficients of ergodicity] 92c:15023 

Womersley, Robert S. see Overton, Michael L., 92m:15013 

Xi, Bo Yan The Bellman inequality for traces of matrices. (Chinese. English summary) 

Yang, Yi Xin Applications of a determinantal inequality. (Chinese. English summary) 

Yuan, Jin Yun see Zhou, Rong Fu; et al., 92j:65070 

Zhou, Rong Fu (with Yuan, Jin Yun) New conditions in comparison theorems for splittings 
of matrices. (Chinese. English summary) 92j:65070 


15A48 Positive matrices and their generalizations; cones of 
matrices 


Cao, Zhi Hao A note on symmetric block circulant matrix. (Chinese summary) 92¢:15021 

Chang, Xiao Wen (with Wang, Jia Song) A new method for the recognition of nonsingular 
M-matrices. (Chinese. English summary) 92a:15020 

Chen, Yong Yi Strict monotonicity conditions for the spectral radii of nonnegative matrices. 
(Chinese. English summary) 

Furuta, Takayuki When does the equality of a generalized Selberg inequality hold? 
92g:15026 

Hansen, Frank Functions of matrices with nonnegative entries. 92k:15040 

Hershkowitz, Daniel (with Schneider, Hans) On the existence of matrices with prescribed 
height and level characteristics. 92m:15017 

— Peak characteristic and nonnegative signature. 92a:15021 

Jameson, Antony (with Kreindler, Eliezer; Lancaster, Peter) Symmetric, positive semidefin- 
ite, and positive definite real solutions of AX = XA‘ and AX = YB. 92j:15011 

Kreindler, Eliezer see Jameson, Antony; et al., 92j:15011 

Lancaster, Peter see Jameson, Antony; et al., 92j:15011 

Mathias, Roy Matrices with positive definite Hermitian part: inequalities and linear 
systems. 92k:15041 

Merikoski, Jorma Kaarlo (with Virtanen, Ari) On the London-Hoffman inequality for the 
sum of elements of powers of nonnegative matrices. 92g:15027 

Muchlis, Ahmad On the extremal points of a class of polytopes of matrices. 92k:15042 

Neumann, Michael (with Werner, Hans-Joachim!) Nonnegative group inverses. 92e:15026 

— (with Stern, Ronald Jay; Tsatsomeros, Michael J.) The reachability cones of essentially 
nonnegative matrices. 92b:15030 

Osaka, Hiroyuki Indecomposable positive maps in low-dimensional matrix algebras. 
92g:15028 

Peris, Josep E. A new characterization of inverse-positive matrices. 92h:15013 

Rohn, Jiti A theorem on P-matrices. 92j:15012 





267 1992 


Schneider, Hans see Hershkowitz, Daniel, 92m:15017 

Song, Yong Zhong Comparisons of nonnegative splittings of matrices. 92g:15029 

Stern, Ronald Jay (with Wolkowicz, Henry) Invariant ellipsoidal cones. 92h:15014 

— (with Wolkowicz, Henry) Exponential nonnegativity on the ice cream cone. 92j:15013 

— see also Neumann, Michael; et al., 92b:15030 

Stuart, Jeffrey L. The partial order graph for a ZME-matrix. 92b:15031 

Sun, Yu Xiang Weak strictly diagonally dominant matrices and their applications. (Chinese. 
English summary) 

Tsatsomeros, Michael J. see Neumann, Michael; et al., 92b:15030 

Viliaho, H. A polynomial-time test for M-matrices. 92g:15030 

Virtanen, Ari see Merikoski, Jorma Kaarlo, 92g:15027 

Wang, Jia Song see Chang, Xiao Wen; et al., 92a:15020 

Werner, Hans-Joachim! Some further results on matrix monotonicity. 92h:15015 

— see also Neumann, Michael, 92e:15026 

Wolkowicz, Henry see Stern, Ronald Jay, 92h:15014 and 92j:15013 


Items with secondary classifications in 15A48 

Borobia, Alberto (with Rodriguez, Ujué) A geometric proof of the Perron-Frobenius 
theorem. (Spanish. English summary) (see 92b:00044) 

Buffoni, Giuseppe On the inverse of a matrix with positive definite symmetric component. 
92i:15002 

Cowen, Carl C. An application of Hadamard multiplication to operators on weighted Hardy 
spaces. 92¢:47046 

Curtis, Edward B. (with Morrow, James A.) The Dirichlet to Neumann map for a resistor 
network. 92g:31003 

Elsner, Ludwig (with Mehrmann, Volker) Convergence of block iterative methods for 
matrices arising in fluid flow computations. (see 92m:65053) 

Friedland, Shmuel Characterizations of the spectral radius of positive operators. 92d:47054 

Fritzsche, Bernd (with Kirstein, Bernd) A Schur type matrix extension problem. IV. 
92i:47017 

Gilbert, George T. Positive definite matrices and Sylvester’s criterion. 92a:15009 

Grone, Robert (with Pierce, Stephen) Extremal positive semidefinite doubly stochastic 
matrices. 92b:15033 

Hanke, Martin (with Neumann, Michael; Niethammer, Wilhelm) On the spectrum of the 
SOR operator for symmetric positive definite matrices. 92b:65028 

Hartfiel, D. J. Full patterns in truncated transportation polytopes. 92h:52011 

Haviv, Moshe (with Ritov, Ya’acov; Rothblum, Uriel G.) Taylor expansions of eigenvalues 
of perturbed matrices with applications to spectral radii of nonnegative matrices. 
92m:65057 

Hershkowitz, Daniel (with Schneider, Hans) Combinatorial bases, derived Jordan sets and 
the equality of the height and level characteristics of an M-matrix. 92h:15008 

Hmamed, A. Sufficient condition for the positive definiteness of symmetric interval 
matrices. 92a:93082 

Johnson, Charles Royal see Lundquist, Michael E., 92d:15011 

Kim, Ki Hang (with Roush, F. W.) Path components of matrices and strong shift 
equivalence over Q*. 92¢:58027 

Kirkland, Steve An eigenvalue region for Leslie matrices. 92k:15025 

Kirstein, Bernd see Fritzsche, Bernd, 92i:47017 

Koltracht, Israel (with Neumann, Michael) On the inverse M-matrix problem for real 
symmetric positive-definite Toeplitz matrices. 92b:15036 

Kuznetsov, S. E. (with Nurmeev, N. N.; Salimov, F. 1.) The problem of minimal implicating 
vector. (Russian) 92k:15044 

Langer, Helmut Strictly copositive matrices and ESS’s. 92b:92027 

Lind, Douglas Matrices of Perron numbers. 92m:11117 

Liu, Dan (with Szidarovszky, Ferenc) Block-M-matrices and their properties. 92d:15004 

Lundquist, Michael E. (with Johnson, Charles Royal) Linearly constrained positive definite 
completions. 92d:15011 

Magolu, Monga-Made Sparse block approximate factorizations for singular problems. (see 
92m:65053) 

Marcus, Marvin (with Sandy, Markus) Hadamard square roots. 92a:15027 

Mehrmann, Volker see Elsner, Ludwig, (92m:65053) 

Mohan, Srinivasa Raghavan (with Sridhar, Raghavendra) On characterizing N-matrices 
using linear complementarity. 92m:90046 

Morrow, James A. see Curtis, Edward B., 92g:31003 

Mukherjea, Arunava The role of nonnegative idempotent matrices in certain problems in 
probability. (see 92a:15001) 

Neumann, Michael see Koltracht, Israel, 92b:15036 and Hanke, Martin; et al., 92b:65028 

Niethammer, Wilhelm see Hanke, Martin; et al., 92b:65028 

Nurmeev, N. N. see Kuznetsov, S. E.; et al., 92k:15044 

Okuguchi, Koji see Szidarovszky, Ferenc, 92e:15012 

Peris, Josep E. (with Subiza, Begona) A characterization of weak-monotone matrices. 
92k:15014 

Pham Van At Diagonal transformation methods for computing the maximal eigenvalue and 
eigenvector of a nonnegative irreducible matrix. 92d:65062 

Pierce, Stephen see Grone, Robert, 92b:15033 

Ritov, Ya’acov see Haviv, Moshe; et al., 92m:65057 

Rodriguez, Ujué see Borobia, Alberto, (92b:00044) 

Rothblum, Uriel G. see Haviv, Moshe; et al., 92m:65057 

Roush, F. W. see Kim, Ki Hang, 92c:58027 

Salimov, F.1I. see Kuznetsov, S. E.; et al., 92k:15044 

Sandy, Markus see Marcus, Marvin, 92a:15027 

Schneider, Hans see Hershkowitz, Daniel, 92h:15008 

Sridhar, Raghavendra see Mohan, Srinivasa Raghavan, 92m:90046 

Stern, Ronald Jay (with Wolkowicz, Henry) A note on generalized invariant cones and the 
Kronecker canonical form. 92¢:15018 

Subiza, Begoiia see Peris, Josep E., 92k:15014 

Szidarovszky, Ferenc (with Okuguchi, Koji) A general scheme for matrices with nonnega- 
tive inverses. 92e:15012 

— see also Liu, Dan, 92d:15004 

Wolkowicz, Henry see Stern, Ronald Jay, 92e:15018 





LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


15A54 


Zhang, Lei’ The solvability conditions for the inverse problem of symmetric nonnegative 
definite matrices. 92i:15005 


15A51 Stochastic matrices 


Au-Yeung, Yik Hoi (with Cheng, Che-Man) Permutation matrices whose convex combina- 
tions are orthostochastic. 92g:15031 

Brualdi, Richard A. (with Liu, Bo Lian) The polytope of even doubly stochastic matrices. 
92k:15043 

— (with Csima, J.) Small matrices of large dimension. 92g:15032 

Cheng, Che-Man see Au-Yeung, Yik Hoi, 92g:15031 

Csima, J. see Brualdi, Richard A., 92g:15032 

Dokovi¢é, Dragomir Z. Cyclic polygons, roots of polynomials with decreasing nonnegative 
coefficients, and eigenvalues of stochastic matrices. 92b:15032 

Gonzalez, Raul Ernesto (with Hartfiel, D. J.) On the structure of the stochastic idempotent 
matrix space. 92d:15017 

Grone, Robert (with Pierce, Stephen) Extremal positive semidefinite doubly stochastic 
matrices. 92b:15033 

Hartfiel, D. J. Component bounds on Markov set-chain limiting sets. 92c:15022 

— see also Gonzalez, Raul Ernesto, 92d:15017 

Krafft, Olaf (with Schaefer, Martin) Convergence of the powers of a circulant stochastic 
matrix. 92a:15022 

Kuznetsov, S. E. (with Nurmeev, N. N.; Salimov, F. 1.) The problem of minimal implicating 
vector. (Russian) 92k:15044 

Liu, Bo Lian see Brualdi, Richard A., 92k:15043 

Nurmeev, N. N. see Kuznetsov, S. E.; et al., 92k:15044 

Pierce, Stephen see Grone, Robert, 92b:15033 

Rhodius, Adolf Uber explizite Formein fiir Ergodizitats! 
for coefficients of ergodicity] 92c:15023 

Rising, William Applications of generalized inverses to Markov chains. 92g:15033 

Rodriguez del Tio, P. (with Valsero Blanco, M. C.) A characterization of reversible Markov 
chains by a rotational representation. 92e:15027 

Salimov, F.I. see Kuznetsov, S. E.; et al., 92k:15044 

Schaefer, Martin see Krafft, Olaf, 92a:15022 

Valsero Blanco, M. C. see Rodriguez del Tio, P., 92e:15027 


Items with secondary classifications in 15A51 

Do, Seok-Su (with Hwang, Suk Geun) Some rationally looking faces of Q,, having irrational 
minimum permanents. 92j:15002 

Heyman, Daniel P. Approximating the stationary distribution of an infinite stochastic 
matrix. 92¢:60132 

Hwang, Suk Geun Some nontrivial permanental mates. 92b:15014 

— The monotonicity of the permanent function. 92i:15008 

— Doubly stochastic circulant matrices. 92j:05035 

— Convexity of the permanent for doubly stochastic matrices. 92d:15009 

— see also Do, Seok-Su, 92j:15002 

Malek, Massoud On the monotonicity of the sum of subpermanents of doubly stochastic 
matrices. 92e:15014 

Nylen, Peter (with Tam, Tin Yau) Numerical range of a doubly stochastic matrix. 
92e:15031 

Semal, Pierre Iterative algorithms for large stochastic matrices. 92g:65149 

Soules, George W. The rate of convergence of Sinkhorn balancing. 92a:65108 

Tam, Tin Yau see Nylen, Peter, 92e:15031 


ffizienten. [On explicit formulas 





15A52 Random matrices 


Edelman, Alan On the distribution of a scaled condition number. 92g:15034 
Girko, V. L. G-consistent estimates of eigenvalues and eigenvectors of matrices. 92k:15045 


Items with secondary classifications in 15A52 

Borovskikh, Yu. V. see Korolyuk, V. S., 92j:60026 

Caurier, E. see Grammaticos, B.; et al., 92a:82061 

Grammaticos, B. (with Ramani, A.; Caurier, E.) Level spacing for band random matrices. 
92a:82061 

Haake, Fritz see Kus, Marek; et al., 92m:82066 

Kollo, Ténu The eigenvalue problem of a random matrix. (Estonian. English and Russian 
summaries) (see 92m:00026) 

Korolyuk, V.S. (with Borovskikh, Yu. V.) Algebraic decomposition and the asymptotics of 
the permanent of a random matrix. (Russian) 92j:60026 

Kus, Marek (with Lewenstein, Maciej; Haake, Fritz) Density of eigenvalues of random 
band matrices. 92m:82066 

Lehmann, Nils (with Sommers, Hans-Jiirgen) Eigenvalue statistics of random real matrices. 
92d:82046 

Lewenstein, Maciej see Kus, Marek; et al., 92m:82066 

Marcus, Marvin (with Sandy, Markus) Hadamard square roots. 92a:15027 

Mehta, Madan Lal * Random matrices. 92f:82002 

Pellaumail, Jean Décomposition de L-matrices et probabilités stationnaires. (English 
summary) [Decomposition of L-matrices and steady-state probabilities] 92d:60069 

Ramani, A. see Grammaticos, B.; et al., 92a:82061 

Sandy, Markus see Marcus, Marvin, 92a:15027 

Sommers, Hans-Jiirgen see Lehmann, Nils, 924:82046 

Tutubalin, V. N. Passage to infinity of the product of random matrices. (Russian) 
92c:60014 

Ullah, Nazakat Distribution of eigenvalues of 3 x 3 band matrices. 92m:82069 


15A54 Matrices over function rings in one or more variables 


Adkins, William A. Normal matrices over Hermitian discrete valuation rings. 92g:15035 
Ball, Joseph A. (with Rakowski, Marek) Null-pole subspaces of nonregular rational matrix 
functions. 92i:15015 





15A54 


Beklemisheva, L. A. Application of matrix coefficient functions to some problems in 
mathematical analysis. (Russian) 92a:15023 

Dym, Harry A Hermite theorem for matrix polynomials. 92g:15036 

Hartfiel, D. J. Tracking in matrix systems. 92k:15046 

Kublanovskaya, V. N. Some factorizations of matrix and scalar polynomials. (Russian) 
92a:15024 

Rakowski, Marek Generalized pseudoinverses of matrix valued functions. 92d:15018 

— see also Ball, Joseph A., 92i:15015 


Items with secondary classifications in 15A54 

Bakonyi, Mihai (with Constantinescu, Tiberiu) Inheritance principles for chordal graphs. 
92a:05083 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) Two-sided Lagrange-Sylvester 
interpolation problems for rational matrix functions. 92j:30033 

Connell, Edwin (with Zweibel, John) Exact and coexact matrices. 92i:13004 

Constantinescu, Tiberiu see Bakonyi, Mihai, 92a:05083 

Gohberg, Israel see Ball, Joseph A.,; et al., 92j:30033 

Melnik, O. M. Invariants of transforming matrices. (Russian) 92c:15010 

Murota, Kazuo On the Smith normal form of structured polynomial matrices. 92k:15032 

Prokip, V.M. Divisibility and one-sided equivalence of polynomial matrices. (Russian. 
Ukrainian summary) 92b:15026 

Rodman, Leiba see Ball, Joseph A.; et al., 92j:30033 

Wa, Hai Rong Applications of commutativity of matrices to a class of decoupled problems. 
(Chinese) 92b:15023 

Zweibel, John see Connell, Edwin, 92i:13004 


15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.) 


Ammar, Gregory S. (with Mehrmann, Volker) On Hamiltonian and symplectic Hessenberg 
forms. 92a:15025 

Anandam, N. see Meenakshi, Ar. 

Arnal Gil, P. Ma. see Gil Pérez, J. J.; et al., (92b:00044) 

Berman, Abraham (with Shasha, Dafna) Inertia-preserving matrices. 92a:15026 

Bunce, John W. The Binet-Cauchy theorem and inequalities for the Schur power matrix. 
92k:15047 

Dancis, Jerome Invertible completions of band matrices. 92k:15048 

Dokovi¢, Dragomir Z. On the product of two alternating matrices. 92k:15049 

Dutta, Tarini Kumar (with Kalita, Ramesh Chandra) Hermitian operators and approximate 
identities on C". 92f:15012 

Fiedler, Miroslav (with Vaviin, Zdenék) A symmetric companion matrix of a polynomial. 
(see 92k:65004) 

Gil Pérez, J. J. (with Arnal Gil, P. Ma.; Murillo Ram6n, J.) Some properties of the Mueller 
matrices. Endomorphism associated with a Mueller matrix. (Spanish. English summary) 
(see 92b:00044) 

Gohberg, Israel (with Kaashoek, M. A.; Woerdeman, H. J.) A note on extensions of band 
matrices with maximal and submaximal invertible blocks. 92k:15050 

Gurvich, V. A. (with Libkin, L.O.) Absolutely determined matrices. 92b:15034 

Huang, Lin see Zhao, Yong Dong; et al., 92e:15028 

Johnson, Charles Royal (with Loewy, Raphael) Possible inertias for the Hermitian part of 
A+ BX. 924:15019 

Kaashoek, M. A. see Gohberg, Israel; et al., 92k:15050 

Kalita, Ramesh Chandra see Dutta, Tarini Kumar, 92f:15012 

Kimel'fel'd, B. N. On inequalities of Schur type for Hermitian matrices and characters of 
unitary groups. 92b:15035 

Koltracht, Israel (with Neumann, Michael) On the inverse M-matrix problem for real 
symmetric positive-definite Toeplitz matrices. 92b:15036 

Libkin, L.O. see Gurvich, V. A., 92b:15034 

Loewy, Raphael see Johnson, Charles Royal, 92d:15019 

Marcus, Marvin (with Sandy, Markus) Hadamard square roots. 92a:15027 

Meenakshi, Ar. (with Anandam, N.) On polynomial EP, matrices. 

Mehrmann, Volker see Ammar, Gregory S., 92a:15025 

Miranda, M. Emilia F. On the el its and eigenvalues of normal matrices. (Portuguese. 
English summary) (see 92m:00048) 

Moon, Byung Soo A characterization of linear operators with property (Az) on the ordered 
space of Hermitian matrices. 92d:15020 

Morita, Tohru see Tanaka, Kazuyuki*, 92a:15028a and 92a:15028b 

Mu, Lin Matrices satisfying Siljak’s conjecture. (Chinese. English summary) 

Marillo Ramén, J. see Gil Pérez, J. J.; et al., (92b:00044) 

Neumann, Michael see Koltracht, Israel, 92b:15036 

Sandy, Markus see Marcus, Marvin, 92a:15027 

Shasha, Dafna see Berman, Abraham, 92a:15026 

Sinha, P.C. A note on quadripotent matrices. 92k:15051 

So, W. (with Thompson, Robert C.) Products of exponentials of Hermitian and complex 
symmetric matrices. 92f:15013 

Sun, Wei Wei The interior and closure of strongly stable matrices. 92m:15018 

Tanaka, Kazuyuki? (with Morita, Tohru) Asymptotic behaviors of modified block Toeplitz 
determinant. 92a:15028a 

— (with Morita, Tohru) Asymptotic forms of some block Toeplitz determinants. 
92a:15028b 

Thompson, Robert C. see So, W., 92f:15013 

Tu, Bo Xun Theory of metapositive definite matrices. II. (Chinese) 92¢:15024 

Tyrtyshnikov, E. E. * Cuxrynapxbie yucna Matpau Komm-Ténanua. (Russian) [Singular 
numbers of Cauchy-Toeplitz matrices] 92g:15037 

Vavtin, Zdenék see Fiedler, Miroslav, (92k:65004) 

Wang, Bo Ying (with Zhang, Fu Zhen) Some inequalities for the eigenvalues of the product 
of positive semidefinite Hermitian matrices. 92j:15014 

Woerdeman, H. J. see Gohberg, Israel; et al., 92k:15050 

Yang, Zhong Peng An unsolved problem concerning the relative gain array. 92¢:15025 

Zaballa, Ion Matrices with prescribed invariant factors. 92a:15029 

Zhang, Fu Zhen see Wang, Bo Ying, 92j:15014 





LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


1992 268 


Zhao, Yong Dong (with Huang, Lin) The geometric properties of the set of Lyapunov 
matrices and the stability of the matrix family. 92e:15028 


Items with secondary classifications in 15A57 

Auberson, G. (with Martin, André; Mennessier, G.) On the reconstruction of a unitary 
matrix from its moduli. 92m:81298 

Baksalary, Jerzy K. (with Schipp, Bernhard; Trenkler, Gétz) Some further results on 
Hermitian-matrix inequalities. 92m:15015 

Bapat, R. B. An interlacing theorem for tridiagonal matrices. 92c:15007 

Bart, H. (with Thijsse,G. Ph. A.) Similarity invariants for pairs of upper triangular 
Toeplitz matrices. 92a:15013 

Bini, Dario (with Pan, Victor) On the evaluation of the eigenvalues of a banded Toeplitz 
block matrix. 92j:65209 

Chan, Gin Hor (with Lim, Ming Huat) Linear preservers on powers of matrices. 92k:15009 

Chan, Raymond H. (with Jin, Xiao Qing; Yeung, Man-Chung) The circulant operator in the 
Banach algebra of matrices. 92f:15004 

Chen, Gong Ning (with Yang, Zheng Hong) Bezoutian representation via Vandermonde 
matrices. (Chinese summary) 

Chernyshev, V. N. Convergence of absolutely continuous spectral measures for truncations 
of limit Jacobi matrices. (Russian) 92¢:47058 

Dahlhaus, R. Approximations for the inverse of Toeplitz matrices with applications to 
stationary processes. 92a:62143 

Dokovié, Dragomir Z. Construction of some new Hadamard matrices. 92k:05032 

Dubeau, Francois (with Savoie, Jean) A remark on cyclic tridiagonal matrices. 92i:65056 

Fiedler, Miroslav Expressing a polynomial as the characteristic polynomial of a symmetric 
matrix. 92b:15016 

Flaschka, Ulrike (with Lin, Wen Wei; Wu, Jy Liang) A KQZ algorithm for solving linear- 
response eigenvalue equations. 92m:65055 

Forrester, P. J. (with Morrow, T. M.) Block Toeplitz matrices and the two-dimensional 
Coulomb gas near a wall. 92¢:82009 

Freund, Roland W. On polynomial preconditioning and asymptotic convergence factors for 
indefinite Hermitian matrices. 92g:15008 

Gingold, Harry On totally invertible matrices and Carlian sets. 92k:15013 

Gohberg, Israel (with Rubinstein, Sorin) Minimal symplectic orbits of rational contractive 
matrix functions. 92a:47018 

(Hao, Zhi Chuan) see Zhang, Fu Zhen 

Hauke, Jan (with Krzyszkowska, Jolanta) Generalizations of some properties of a universal 
matrix. (Polish. English summary) 

Hertz, David Simple bounds on the extreme eigenvalues of Toeplitz matrices. 92j:15005 

Heyfron, Peter Some inequalities concerning immanants. 92e:15013 

Hmamed, A. Sufficient condition for the positive definiteness of symmetric interval 
matrices. 92a:93082 

Hochwald, Scott H. Linear algebra by analogy. 92k:15002 

Hong, Yoo Pyo (with Horn, Roger A.) The Jordan canonical form of a product of a 
Hermitian and a positive semidefinite matrix. 92c:15015 

Horn, Roger A. see Hong, Yoo Pyo, 92c:15015 

Jiang, Xiao Yun Some questions and improvements on the “arithmetic mean method”. 
(Chinese) 

Jin, Xiao Qing see Chan, Raymond H.; et al., 92f:15004 

Jin, Zhen see Li, Gui Rong; et al. 

Johnson, Charles Royal Matrix completion problems: a survey. (see 92a:15001) 

Jtidice, Joaquim J. Some results for the matrices Q and Qo. (Portuguese. English summary) 
(see 92m:00051) 

Kerner, Richard Graduation Z; et la racine cubique de l’opérateur de Dirac. (English 
summary) [Z3-graded algebras and the cube root of the Dirac operator] 92c:81050 

Kittaneh, Fuad On the normality of operator products. 92e:47032 

Komaroff, N. Rearrangement and matrix product inequalities. 92d:26035 

Kovat-Striko, J. (with Veselié, K.) Some remarks on the spectra of Hermitian matrices. 
92b:15018 

Krafft, Olaf (with Schaefer, Martin) Convergence of the powers of a circulant stochastic 
matrix. 92a:15022 

Krishna, Hari On reduced polynomial-based split algorithms. 92¢:65055 

Krzyszkowska, Jolanta see Hauke, Jan 

Li, Chi-Kwong (with Tsing, Nam-Kiu) Duality between some linear preserver problems. III. 
c-spectral norms and (skew)-symmetric matrices with fixed singular values. 92b:15038 

Li, Gui Rong (with Song, Wen Jie; Jin, Zhen) A complete characterization of symmetric 
primitive matrices with exponent 2n — 6. (Chinese. English summary) 

Lim, Ming Huat see Chan, Gin Hor, 92k:15009 

Lin, Wen Wei see Flaschka, Ulrike; et al., 92m:65055 

Linzer, Elliot (with Vetterli, Martin) Structure and arithmetic complexity of products and 
inverses of Toeplitz matrices. 92a:65371 

Lobarev, I. V. Estimates for the eigenvalues of a class of block-Toeplitz matrices. (Russian) 
(see 92m:00024) 

Lombardi, Giovanni (with Rebaudo, Rina) Properties of some special Toeplitz matrices 
whose elements are 0 or 1. (see 92k:65004) 

Lu, Hao see You, Zhao Yong; et al., 92g:65164 

Martin, André see Auberson, G.; et al., 92m:81298 

Mennessier, G. see Auberson, G.; et al., 92m:81298 

Mizohata, Sigeru On hyperbolic matrices. 92f:35099 

Mohan, Srinivasa Raghavan (with Sridhar, Raghavendra) On characterizing N-matrices 
using linear complementarity. 92m:90046 

— (with Sridhar, Raghavendra) A note on a characterization of P-matrices. 92m:90047 

Morrow, T. M. see Forrester, P. J., 92c:82009 

Pan, Victor see Bini, Dario, 92j:65209 

Poon, Yiu Tung The convexity of a generalized matrix range. 92k:15054 

Radoux, Christian Déterminant de Hankel construit sur des polynémes liés aux nombres 
de dérangements. [A Hankel determinant constructed on polynomials associated with 
numbers of derangements] 92i:05019 

Rebaudo, Rina see Lombardi, Giovanni, (92k:65004) 

Romani, Francesco see Rézsa, Pal, 92m:65060 





269 1992 


Rézsa, Pal (with Romani, Francesco) A reduction theorem for the characteristic polyno- 
mial of periodic block tridiagonal matrices. 92m:65060 

Rubinstein, Sorin see Gohberg, Israel, 92a:47018 

Savoie, Jean see Dubeau, Francois, 92i:65056 

Schaefer, Martin see Krafft, Olaf, 92a:15022 

Schipp, Bernhard see Baksalary, Jerzy K.; et al., 92m:15015 

Sherif, Nagwa On the computation of roots of a unitary matrix. (Arabic summary) 
92k:65078 

Song, Wen Jie see Li, Gui Rong; et al. 

Sridhar, Raghavendra see Mohan, Srinivasa Raghavan, 92m:90046 and 92m:90047 

Taussky, Olga (with Todd, John) Another look at a matrix of Mark Kac. 92k:15030 

Thijsse, G. Ph. A. see Bart, H., 92a:15013 

Tismenetsky, Miron A decomposition of Toeplitz matrices and optimal circulant precondi- 
tioning. 92¢:65056 

Todd, John see Taussky, Olga, 92k:15030 

Todorov, K. On some generalization of the quaternion group and Hadamard matrices. (see 
92m:00061) 

Trenkler, Gétz see Baksalary, Jerzy K.; et al., 92m:15015 

Tsing, Nam-Kiu (with Uhlig, Frank) Inertia, numerical range, and zeros of quadratic forms 
for matrix pencils. 92a:15015 

— see also Li, Chi-Kwong, 92b:15038 

Uhlig, Frank see Tsing, Nam-Kiu, 92a:15015 

Veseli¢, K. see Kovat-Striko, J., 92b:15018 

Vetterli, Martin see Linzer, Elliot, 92a:65371 

Windisch, Ginther Sign patterns of inverse tridiagonal matrices. 92k:15015 

Wu, Hai Rong Applications of commutativity of matrices to a class of decoupled problems. 
(Chinese) 92b:15023 

Wa, Jy Liang see Flaschka, Ulrike; et al., 92m:65055 

Yang, Zheng Hong see Chen, Gong Ning; et al. 

Yeung, Man-Chung see Chan, Raymond H.; et al., 92f:15004 

You, Zhao Yong (with Lu, Hao) Complexity of certain Toeplitz linear systems and 
polynomial division. (Chinese summary) 92g:65164 

Zhang, Fu Zhen Comment: “An inequality for Hermitian matrices” [Math. Practice Theory 
1985, no. 4, 59-61; MR 87h:15016] by Z. C. Hao. (Chinese) 


15A60 Norms of matrices, numerical range, applications of 
functional analysis to matrix theory [see also 65F35, 
65305] 


Artzrouni, Marc On the growth of infinite products of slowly varying primitive matrices. 
92e:15029 

Ayshalumova, O. A. (with issayev, H. A.) On the numerical range of a finite matrix. 
(Turkish summary) 92k:15052 

Bebiano, Natalia Symmetries of the ranges of certain matrix functions. (Portuguese. English 
summary) (see 92m:00048) 

— (with Li, Chi-Kwong; da Providéncia, Joao) The numerical range and decomposable 
numerical range of matrices. 92i:15016 

Cheng, Che-Man An approximation problem with respect to symmetric gauge functions 
with application to matrix spaces. 92i:15017 

Hervas, Antonio (with Morera, José Luis) Solutions of boundary value problems for 
second-order matrix difference equations. (Spanish. English summary) (see 92b:00044) 

Hu, Shu An (with Tam, Tin Yau) On the generalized numerical range with principal 
character. 92e:15030 

issayev, H. A. see Avshalumova, O. A., 92k:15052 

Johnson, Charles Royal (with Lundquist, Michael E.) Numerical ranges for partial 
matrices. 92d:15021 

— (with Nylen, Peter) Monotonicity properties of norms. 92b:15037 

— (with Nylen, Peter) Largest singular value submultiplicativity. 92c:15026 

Kittaneh, Fuad On zero-trace matrices. 92d:15022 

Kwong, Man Kam (with Zettl, Anton) Norm inequalities for the powers of a matrix. 
92¢:15027 

Lau, K. K. (with Zietak, K.) A note on linear approximations of matrices. 92k:15053 

Li, Chi-Kwong Some results on the generalized k-numerical range. 92a:15030 

— (with Tsing, Nam-Kiu) Duality between some linear preserver problems. III. c-spectral 
norms and (skew)-symmetric matrices with fixed singular values. 92b:15038 

— (with Tsing, Nam-Kiu) G-invariant norms and G(c)-radii. 92¢:15028 

— Inequalities relating norms invariant under unitary similarities. 92i:15018 

— Some inequalities on the decomposable numerical radii of matrices. 92m:15019 

— see also Bebiano, Natalia; et al., 92i:15016 

Lundquist, Michael E. see Johnson, Charles Royal, 92d:15021 

Merikoski, Jorma Kaarlo On c-norms and c-antinorms on cones. 92¢:15029 

Morera, José Luis see Hervas, Antonio, (92b:00044) 

Nevdal, Geir A comment on Parrott’s theorem. 92g:15038 

Nylen, Peter (with Tam, Tin Yau) Numerical range of a doubly stochastic matrix. 
92e:15031 

— see also Johnson, Charles Royal, 92b:15037 and 92c:15026 

Poon, Yiu Tung The convexity of a generalized matrix range. 92k:15054 

da Providéncia, Joao see Bebiano, Natalia; et al., 92i:15016 

Tam, Tin Yau see Hu, Shu An, 92e:15030 and Nylen, Peter, 92e:15031 

Tsing, Nam-Kiu see Li, Chi-Kwong, 92b:15038 and 92c:15028 

Zettl, Anton see Kwong, Man Kam, 92c:15027 

Zietak, K. see Lau, K. K., 92k:15053 


Items with secondary classifications in 15A60 

Ando, Tsuyoshi (with Okubo, Kazuyoshi) Induced norms of the Schur multiplier operator. 
92k:47015 

Auchmuty, Giles A posteriori error estimates for linear equations. 92j:65068 

Bailey, R. A. (with Gower, J.C.) Approximating a symmetric matrix. 92k:62108 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


15A63 


Bhatia, Rajendra (with Davis, Chandler; Kittaneh, Fuad) Some inequalities for commuta- 
tors and an application to spectral variation. 92j:47023 

Binding, P. A. (with Li, Chi-Kwong) Joint ranges of Hermitian matrices and simultaneous 
diagonalization. 92d:47006 

Davis, Chandler see Bhatia, Rajendra; et al., 92j:47023 

Goldstein, Jerome A. (with Levy, Mel) Linear algebra and quantum chemistry. 92j:81366 

Gower, J.C. see Bailey, R. A., 92k:62108 

Green, W. L. (with Morley, T. D.) Operator means, norm convergence and matrix 
functions. 92k:47036 

Hu, Shu An (with Tam, Tin Yau) Operators with permanental numerical ranges on a 
straight line. 92f:15005 

Jédar, Lucas see Navarro, Enrique, 92h:34046; Legua Fernandez, Matilde, (92b:00044) and 
(92b:00044) 

Johnson, Charles Royal Matrix completion problems: a survey. (see 92a:15001) 

Kittaneh, Fuad see Bhatia, Rajendra; et al., 92j:47023 

Lambert, Dominique Pseudo-Euclidean Hurwitz pairs, sigma and pure spinor models. 
92k:58060 

Laszl6, Lajos Upper bounds for matrix diagonals. 92g:15023 

Legua Fernandez, Matilde (with Jodar, Lucas) Matrix boundary value problems: approxi- 
mate solutions and error bounds. (Spanish. English summary) (see 92b:00044) 

— (with Jédar, Lucas) Explicit solutions of boundary value probl for Euler matrix 
equations. (Spanish. English summary) (see 92b:00044) 

Lei, Tian Gang On the C-congruence numerical radii. 92g:15024 

Lenferink, H. W. J. (with Spijker, Marc N.) On a generalization of the resolvent condition 
in the Kreiss matrix theorem. 92b:65036 

Levy, Mel see Goldstein, Jerome A., 92j:81366 

Li, Chi-Kwong see Binding, P. A., 924:47006 

Man, Wai Yip The invariance of C-numerical range, C-numerical radius, and their dual 
problems. 92e:15015 

Mathias, Roy The equivalence of two partial orders on a convex cone of positive semidefin- 
ite matrices. 92i:15010 

Morley, T. D. see Green, W. L., 92k:47036 

Navarro, Enrique (with Jédar, Lucas) Solving two-point boundary value problems for the 
nonmonic regular matrix differential equation AX)(t) — BX(t) = F(t). 92h:34046 

Okubo, Kazuyoshi see Ando, Tsuyoshi, 92k:47015 

Spijker, Marc N. see Lenferink, H. W. J., 92b:65036 

Tam, Tin Yau Another proof of a result of Marcus without Pliicker relations. 92g:15011 

— see also Hu, Shu An, 92f:15005 

Tsing, Nam-Kiu (with Uhlig, Frank) Inertia, numerical range, and zeros of quadratic forms 
for matrix pencils. 92a:15015 

Uhlig, Frank see Tsing, Nam-Kiu, 92a:15015 

Van Praag, Paul Sur la norme réduite du déterminant de Dieudonné des matrices 
quaternioniennes. [On the reduced norm of the Dieudonné determinant of quaternion 
matrices] 92¢:12003 

Watson, G. A. On a general class of matrix nearness problems. 92h:65077 





15A63 Quadratic and bilinear forms, inner products [See mainly 
11Exx] 


Anzin, M. M. Variations of positive quadratic forms (with application to the study of 
perfect forms). (Russian) 92e:15032 

Ben-Artzi, Asher (withDokovi¢, Dragomir Z.; Rodman, Leiba) Totally isotropic subspaces 
for pairs of Hermitian forms and applications to Riccati equations. 92i:15019 

Chamizo Lorente, Fernando see Contreras Caballero, Lucia, (92m:00048) 

Contreras Caballero, Lucia (with Chamizo Lorente, Fernando) Criteria for distinguishing 
the character of degenerate quadratic forms. (Spanish. English summary) (see 92m:00048) 

Dokovi¢, Dragomir Z. see Ben-Artzi, Asher; et al., 92i:15019 

Gatto, Letterio An introduction to hypersymplectic vector spaces. (Italian summary) 
92m:15020 

Idris, Ismail M. Unitary transformations modulo the group of multiplicative infinitesimals. 
(Arabic summary) 92j:15015 

Rassias, John M. Four new criteria on characterizations of inner products. 

Rodman, Leiba see Ben-Artzi, Asher; et al., 92i:15019 

Wild, Marcel On the congruence problem in infinite-dimensional sesquilinear spaces. 
92m:15021 

Zhao, Ming Qing Gray quadratic forms. (Chinese. English summary) 92f:15014 


Items with secondary classifications in 15A63 

Adamyan, V. M. Asymptotic properties for positive and Toeplitz matrices and operators. 
92b:47031 

Blanco Martin, Ma. Francisca (with Tena Ayuso, Juan) Structure of the orthogonal group 
of a diagonal bilinear plane. (Spanish. English summary) (see 92b:00044) 

Diarra, Bertin Remarques sur les matrices orthogonales [resp. symétriques] a coefficients 
p-adiques. [Remarks on orthogonal [resp. symmetric] matrices with p-adic coefficients] 
92£:11040 

Furuta, Takayuki When does the equality of a generalized Selberg inequality hold? 
92g:15026 

Gowda, M. Seetharama On the transpose of a pseudomonotone matrix and the LCP. 
92b:90213 

Gross, Herbert On the number of isometry classes of bilinear spaces in uncountable 
dimensions. 92e:11027 

Guo, Zhong Heng The exterior-algebraic technique in tensor calculus. (Russian summary) 
92g:15002 

Liu, Yingsheng (with Wan, Zhe Xian) Pseudo-symplectic geometries over finite fields of 
characteristic two. 92k:51007 

Netsvetaev, N. Yu. Diffeomorphism and stable diffeomorphism of simply connected 
manifolds. (Russian) 92f:57041 

Rummler, H. On two characteristic properties of Euclidean norms. 92d:52005 

Sergeichuk, V. V. Classification of sesquilinear forms, pairs of Hermitian forms, and 
selfadjoint and isometric operators over the field of quaternions. (Russian) 92i:11041 





15A63 


Szabé, Gy. On orthogonality spaces admitting nontrivial even orthogonally additive 
tiappings. 92i:46024 

Tena Ayuso, Juan see Blanco Martin, Ma. Francisca, (92b:00044) 

Tsing, Nam-Kiu (with Uhlig, Frank) Inertia, numerical range, and zeros of quadratic forms 
for matrix pencils. 92a:15015 

Uhlig, Frank see Tsing, Nam-Kiu, 92a:15015 

Wan, Zhe Xian see Liu, Yingsheng, 92k:51007 


15A66 Clifford algebras, spinors 


Ahlfors, Lars V. The binomial theorem in the algebra A+. 92j:15016 

Crawford, J. P. Clifford algebra: notes on the spinor metric and Lorentz, Poincaré, and 
conformal groups. 92e:15033 

Figueiredo, V. L. (with de Oliveira, E. Capelas; Rodrigues, Waldyr A., Jr.) Clifford algebras 
and the hidden geometrical nature of spinors. 92f:15015 

Hestenes, David (with Ziegler, Renatus) Projective geometry with Clifford algebra. 
92i:15020 

— The design of linear algebra and geometry. 92i:15021 

Jarvis, T. M. see Shaw, Ronald, 92f:15016 

Keller, Jaime (with Rodriguez-Romo, Suemi) Multivectorial representation of Lie groups. 
92e:15034 

Kopezytiski, Wojciech (with Trautman, Andrzej) Simple spinors and real structures. 
92k:15055 

Micali, Artibano Progrés récents dans la théorie des algébres de Clifford. (English summary) 
[Recent progress in the theory of Clifford algebras] 92m:15022 

Okubo, Susumu Real representations of finite Clifford algebras. I. Classification. 92i:15022a 

— Real representations of finite Clifford algebras. II. Explicit construction and pseudo- 
octonion. 92i:15022b 

de Oliveira, E.Capelas see Figueiredo, V. L.; et al., 92f:15015 

Rodrigues, Waldyr A., Jr. see Figueiredo, V. L.; et al., 92f:15015 

Rodriguez-Romo, Suemi see Keller, Jaime, 92¢:15034 

Shaw, Ronald (with Jarvis, T.M.) Finite geometries and Clifford algebras. II. 92f:15016 

— Clifford algebras, spinors and finite geometries. 92j:15017 

Shimpuku, Taro * Symmetric algebras by direct product of Clifford algebra. 92j:15018 

Trautman, Andrzej L’échiquier spinoriel. (English summary) [The spinorial chessboard] 
92k:15056 

— see also Kopezyiski, Wojciech, 92k:15055 

Ziegler, Renatus see Hestenes, David, 92i:15020 


Items with secondary classifications in 15A66 

Arcuri, Regina C. Conformal and critical embeddings, infinite magic square, and a new 
Clifford product. 92k:17040 

Beckers, J. (with Debergh, N.) N = 2-extended supersymmetries and Clifford algebras. 
92b:17045 

Benn, I. M. (with Tucker, Robin W.) * An introduction to spinors and geometry with 
applications in physics. 92b:53015 

Carey, Alan L. (with Phillips, John) Algebras almost commuting with Clifford algebras in a 
II, factor. 92m:46107 

Chakrabarti, Ranabir (with Jagannathan, Ramaswamy) On the representations of GL,(n) 
using the Heisenberg-Wey] relations. 92f:17014 

Cheranéva, I. I. see Soigin, A. M., 92a:83002 

Chisholm, J.S.R. (with Farwell, R.S.) Clifford approach to metric manifolds. 92k:53133 

Crumeyrolle, A. Isotropic vector fields on spheres, spinor structures on spheres and 
projective spaces. 92d:57020 

Debergh, N. On Clifford algebras and unitary Lie superalgebras. 92m:17008 

— see also Beckers, J., 92b:17045 

Dimakis, Aristophanes (with Miiller-Hoissen, Folkert) Clifform calculus with applications 
to classical field theories. 92j:83088 

Farwell, R.S. see Chisholm, J. S. R., 92k:53133 

Fedorovykh, A. M. A relativistically covariant generalization of a vector algebra. (Russian. 
English summary) 92c¢:81059 

Fillmore, Jay P. (with Springer, A.) Mébius groups over general fields using Clifford 
algebras associated with spheres. 92a:22016 

Frappat, L. (with Sorba, P.; Sciarrino, A.) g-fermionic operators and quantum exceptional 
algebras. 92b:17017 

Goldschmidt, Bernd Clifford analysis. (see 92i:00023) 

Haile, Darrell On Clifford algebras and conjugate splittings. 92i:12005 

Jagannathan, Ramaswamy see Chakrabarti, Ranabir, 92f:17014 

Kedzia, Katarzyna see Lawrynowicz, Julian; et al., 92j:35154 

Kocik, J. (with Rzewuski, Jan) On projections of spinor spaces onto Minkowski space. 
92h:81067 

Krolikowski, Wojciech A sequence of Clifford algebras and three replicas of Dirac particle. 
92e:81075 

Lawrynowicz, Julian (with Kedzia, Katarzyna; Suzuki, Osamu) Supercomplex structures, 
surface soliton equations, and quasiconformal mappings. 92j:35154 

Liu, Chun Lin Classification and identification of Mébius transformations in R>. (Chinese. 
English summary) 92c:51003 

Maia, Adolfo, Jr. see Recami, Erasmo; et al., 92f:81052 

Marcinek, Wiadystaw Clifford structures on real vector spaces and manifolds. 92e:53036 

Moresi, Remo A remark on the Clifford group of a quadratic form. 92g:11041 

Miiler-Hoissen, Folkert see Dimakis, Aristophanes, 92j:83088 

Nekovaf, Jan The Maslov index and Clifford algebras. (Russian) 92b:11024 

Oprea, Ana Gabriela Some multiplication formulas in the Clifford algebra. 92i:46087 

Phillips, John see Carey, Alan L., 92m:46107 

Recami, Erasmo (with Rodrigues, Waldyr A., Jr.; Maia, Adolfo, Jr.; Rosa, Marcio A. F.) 
The classical problem of the charge and pole motion: a satisfactory formalism by Clifford 
algebras. 92:81052 

Rodrigues, Waldyr A., Jr. see Recami, Erasmo; et al., 92£:81052 

Rosa, Marcio A. F. see Recami, Erasmo; et al., 92f:81052 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


1992 270 


Ryan, John Inner product algebras and the function theory of associated Dirac operators. 
92k:30066 

Rzewuski, Jan see Kocik, J., 92h:81067 

Schmid, Peter Clifford theory and tensor induction. 92c:20007 

Sciarrino, A. see Frappat, L.; et al., 92b:17017 

Smith, Tara L. Generalized Clifford-Littlkewood-Eckmann groups. 92¢:20019 

— Generalized Clifford-Littlewood-Eckmann groups. II. Linear representations and 
applications. 92e:20020 

Soigin, A. M. (with Cheranéva, I. 1.) The Lorentz transformation in the basis of the Clifford 
algebra of a Minkowski space. (Russian) 92a:83002 

Sorba, P. see Frappat, L.; et al., 92b:17017 

Springer, A. see Fillmore, Jay P., 92a:22016 

Suzuki, Osamu see Lawrynowicz, Julian; et al., 92j:35154 

Tucker, Robin W. see Benn, I. M., 92b:53015 

Vanderwinden, A.-J. Totally geodesic spheres in complex Grassmannians and unitary 
groups. 92h:55015 

Wada, Masaaki Conjugacy invariants of Mobius transformations. 92a:30048 


15A69 Multilinear algebra, tensor products 


Grubb, Anthea Atomicity preserving automorphisms on the space of linear operators on a 
two-dimensional vector space. 92k:15057 

Koning, Ruud H. (with Neudecker, Heinz; Wansbeek, Tom) Block Kronecker products and 
the vecb operator. 92¢:15030 

Neudecker, Heinz see Koning, Ruud H.; et al., 92c:15030 

Wansbeek, Tom see Koning, Ruud H.; et al., 92c:15030 


Items with secondary classifications in 15A69 

Banks, S. P. (with Chanane, B.) Functional expansion and stability for nonlinear input- 
output maps. 92a:93090 

Brualdi, Richard A. (with Chavey, Keith L.) Elementary divisors and ranked posets with 
application to matrix compounds. 92i:05226 

Chanane, B. see Banks, S. P., 92a:93090 

Chang, Stanley S. (with Li, Chi-Kwong) A special linear operator on M4(R). 92k:15010 

Chavey, Keith L. see Brualdi, Richard A., 92i:05226 

Farrashkhalvat, M. (with Miles, J. P.) * Tensor methods for engineers. 92a:00013 

Friedman, Joel The spectra of infinite hypertrees. 92k:05096 

Horn, Roger A. The Hadamard product. (see 92a:15001) 

Li, Chi-Kwong Some inequalities on the decomposable numerical radii of matrices. 
92m:15019 

— see also Chang, Stanley S., 92k:15010 

Miles, J. P. see Farrashkhalvat, M., 92a:00013 

Puschmann, Heinrich Weitere unzulassige Abwandlungen der Vermutung von Wilkinson. 
(English summary) [Further invalid modifications of Wilkinson’s conjecture] 92a:15007 

Romanov, L. I. Surjective bilinear mappings. (Russian) 92c:15003 


15A72 Vector and tensor algebra, theory of invariants 
[see also 13A50, 14D25] 


Anick, David J. (with Rota, Gian-Carlo) Higher-order syzygies for the bracket algebra and 
for the ring of coordinates of the Grassmannian. 92k:15058 

Atkinson, M. D. Extensions to the Kronecker-Weierstrass theory of pencils. 92g:15039 

Fedorov, F. I. The metric tensor and tetrads. (Russian) 92h:15016 

Feng, Cheng Tian (with Lu, Da Lian) Some notes on vector products. (Chinese. English 
summary) 

Formanek, Edward The Nagata-Higman theorem. 92d:15023 

Guo, Zhong Heng The exterior-algebraic method in tensor calculus. (Chinese. English 
summary) 

Huang, Rosa Q. (with Rota, Gian-Carlo; Stein, Joel A.) Supersymmetric bracket algebra 
and invariant theory. 92h:15017 

Lu, Da Lian see Feng, Cheng Tian; et al. 

Queiré, Joao Filipe An axiomatic characterization of the Smith invariants. (Portuguese. 
English summary) (see 92g:00024) 

Rota, Gian-Carlo see Huang, Rosa Q.; et al., 92h:15017 and Anick, David J., 92k:15058 

Stein, Joel A. see Huang, Rosa Q.; et al., 92h:15017 

Wang, Bo Ying (with Wu, Jun) Indices of symmetrizers in tensor spaces. (Chinese) 
92e:15035 

Wa, Jun see Wang, Bo Ying; et al., 92e:15035 

Zhang, Tan Xiang Matrix representation of symmetrizing operators on tensor spaces. 
(Chinese. English summary) 


Items with secondary classifications in 15A72 


Agacy, R. L. Application of Young tableaux to symmetries of spinors. 92j:81085 

Aripov, R.G. The algebraic structure of a differential field of G-invariant differential 
rational functions of a finite number of paths in the space C” for G = SO(n, C). (Russian) 
92d:12013 

Betten, J. (with Helisch, W.) Irreduzible Invarianten eines Tensors vierter Stufe. (English 
and Russian summaries) [Irreducible invariants of a tensor of rank four] 92j:73010 

Bowden, G. J. (with Martin, J. P. D.; Prandolini, M. J.) Nonsquare tensor algebra and 
applications in the NMR of multiply connected spin systems. I. 92m:81075a 

— (with Prandolini, M. J.) Nonsquare tensor algebra and applications in the NMR of 
multiply connected spin systems. II. 92m:81075b 

Dokovié, Dragomir Z. Unitary similarity of projectors. 92g:15015 

Guo, Zhong Heng The exterior-algebraic technique in tensor calculus. (Russian summary) 
92g:15002 

Helisch, W. see Betten, J., 92j:73010 

Katsylo, P. I. Stable rationality of fields of invariants of linear representations of the groups 
PSL¢ and PSL)2. (Russian) 92g:20065 

Kobayashi, Yuji (with Nagamachi, Shigeaki) Characteristic functions and invariants of 
supermatrices. 92¢:17003 





271 1992 


Littelmann, Peter (with Procesi, Claudio) On the Poincaré series of the invariants of binary 
forms. 92d:16032 

Lomonaco, Luciano Dickson invariants and the universal Steenrod algebra. (Italian 
summary) 92e:55017 

Maeda, Takashi On the invariant field of binary octavics. 92g:14047 

Martin, J.P. D. see Bowden, G. J.; et al., 92m:81075a 

Nagamachi, Shigeaki see Kobayashi, Yuji, 92c:17003 

Panyushev, D. I. The canonical module of an affine normal quasihomogeneous SL>-variety. 
(Russian) 92k:14046 

Popov, V. L. see Vinberg, E. B., 92d:14010 

Prandolini, M. J. see Bowden, G. J.; et al., 92m:81075a and 92m:81075b 

Procesi, Claudio see Littelmann, Peter, 92d:16032 

Qian, Shu Fu Exponential representation of orthogonal tensors. (Chinese. English 
summary) 

Rotella, F. Improvements on derivatives of matrices. 92j:15019 

Tambour, Torbjérn Noncommutative classical invariant theory. 92h:16022 

Teranishi, Yasuo Explicit descriptions of trace rings of generic 2 by 2 matrices. 92b:16053 

Van den Bergh, Michel Explicit rational forms for the Poincaré series of the trace rings of 
generic matrices. 92h:16023 

Vinberg, E. B. (with Popov, V.L.) Invariant theory. (Russian) 92d:14010 

White, Neil L. Invariant-theoretic computation in projective geometry. 92m:13005 

Zhu, Chen-Bo A generic H-invariant in a multiplicity-free G-action. 92i:20046 


15A75 Exterior algebra, Grassmann algebras 


Items with secondary classifications in 15A75 

(Barnabei, Marilena) see Boffi, Giandomenico, 92m:20032 

Bénéteau, L. The symplectic trilinear mappings: an algorithmic approach of the classifica- 
tion; case of the field GF(3). 92i:51008 

Boffi, Giandomenico A remark on a paper by M. Barnabei and A. Brini: “The Littlewood- 
Richardson rule for co-Schur modules” [Adv. Math. 67 (1988), no. 2, 143-173; MR 
89h:20022]. 92m:20032 

(Brini, Andrea) see Boffi, Giandomenico, 92m:20032 

Coquereaux, R. (with Jadczyk, A.; Kastler, Daniel) Differential and integral geometry of 
Grassmann algebras. 92i:58016 

Di Vincenzo, O. M. A note on the identities of the Grassmann algebras. (Italian summary) 
92m:16039 

Jadczyk, A. see Coquereaux, R.; et al., 92i:58016 

Kastler, Daniel see Coquereaux, R.; et al., 92i:58016 

Rousseau, George Exterior algebras and the quadratic reciprocity law. 92e:11006 

White, Neil L. Invariant-theoretic computation in projective geometry. 92m:13005 


15A78 Other algebras built from modules 


Items with secondary classifications in 15A78 


Ogievetskii, O. V. (with Wess, Julius) Relations between GL,,.(2)’s. 92e:17017 
Wess, Julius see Ogievetskii, O. V., 92¢:17017 


15A90 Applications of matrix theory to physics 


Items with secondary classifications in 15A90 

Caldwell, James see Ram, Yitsak M., 92m:70037 

Dmitrevsky, S. (with Greub, W. H.) A property of certain sesquilinear functions in a 
complex space. 92c:15009 

Greub, W. H. see Dmitrevsky, S., 92c:15009 

Ram, Yitsak M. (with Caldwell, James) Physical parameters reconstruction of a free-free 
mass-spring system from its spectra. 92m:70037 


15A99 Miscellaneous topics 


Baksalary, Jerzy K. (with Pukelsheim, Friedrich) On the Léwner, minus, and star partial 
orderings of nonnegative definite matrices and their squares. 92¢:15036 

— (with Trenkler, Gétz) Nonnegative and positive definiteness of matrices modified by two 
matrices of rank one. 92¢:15037 

Beasley, LeRoy B. (with Pullman, Norman J.) Linear operators that strongly preserve 
commuting pairs of fuzzy matrices. 92b:15039 

Bilonoga, D. M. Polynomial matrices that are equivalent to monic matrices. (Russian) 
92d:15024 

Buckley, James J. (with Qu, Yun Xia) Solving systems of linear fuzzy equations. 
92g:15040 

Cen, Jian Miao On generalized inverses of fuzzy matrices. (Chinese. English summary) 

Chang, Stanley S. (with Li, Chi-Kwong) Certain isometries on R". 92k:15059 

Dai, Hong Cai see Lou, Kuo Lu; et al. 

Fang, Hao Jian see Huang, Jin Li; et al. 

Huang, Jin Li (with Fang, Hao Jian) An improvement of some theorems on fuzzy matrices 
by using the Schein rank. (Chinese. English summary) 

Ismail, Hassan N. (with Morsi, Nehad N.) Fuzzy rank of a fuzzy matrix. 92b:15040 

Kovalenko, S. P. A new view of associated matrices. (Russian) 92f:15017 

Kumar, Rajesh Fuzzy vector spaces and fuzzy cosets. 92k:15060 

Lehmer, D. H. Matrix paraphrases. 92g:15041 

Li, Chi-Kwong see Chang, Stanley S., 92k:15059 

Li, Jian Xin Controllable fuzzy matrices. 92m:15023 

Lou, Kuo Lu (with Dai, Hong Cai; Wang, Hong Xu) Symmetric decreasing diagonally 
dominant fuzzy matrices. (Chinese. English summary) 

Marcus, Marvin Multilinear methods in linear algebra. 92f:15018 

Morsi, Nehad N. see Ismail, Hassan N., 92b:15040 

Nanda, Sudarsan Fuzzy linear spaces over valued fields. 92i:15023 

Natterer, Frank Inverse problems for discrete evolution models. (see 92a:00040) 


LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY 


15A99 


Pan, Qun The primitive exponent set of nearly decomposable matrices. (Chinese. English 
summary) 

Ptak, Viastimil The infinite companion matrix. 92m:15024 

Pukelsheim, Friedrich see Baksalary, Jerzy K., 92¢:15036 

Pullman, Norman J. see Beasley, LeRoy B., 92b:15039 

Qu, Yun Xia see Buckley, James J., 92g:15040 

Rotella, F. Improvements on derivatives of matrices. 92j:15019 

Rubi6 i Diaz, Pedro Study of the products AB and BA in pairwise multiplicable matrices. 
(Spanish) (see 92b:00044) 

Shao, Jia Yu A proof of a conjecture on the index of ergodic matrices. (Chinese. English 
summary) 

Sherif, Nagwa On square roots of a rotation. 

Shi, Kai Quan A(@®) matrices and their grey character theorem. (Chinese. English 
summary) 

Torriero, Anna A note on operations involving M-matrices and their economic applications. 
(Russian and Polish summaries) 92g:15042 

Trenkler, Gitz see Baksalary, Jerzy K., 92e:15037 

Tumashev, Yu. S. Definition of the convolution of inverse matrices defined in the class of 
functions of two variables. (Russian) 92h:15018 

Wang, Hong Xu see Lou, Kuo Lu; et al. 

Weng, Wen Hui Fuzzy quotient space of linear spaces. (Chinese. English summary) 

Yu, Ze Chang A fuzzy similarity matrix equation. (Chinese. English summary) 

Items with secondary classifications in 15A99 

Alpay, Daniel (with Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba) Realization and 
factorization for rational matrix functions with symmetries. 92j:47031 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) * Interpolation of rational matrix 
functions. 92m:47027 

— (with Rakowski, Marek) Zero-pole structure of nonregular rational matrix functions. 
92i:47094 

— see also Alpay, Daniel; et al., 92j:47031 

Bapat, R. B. An interlacing theorem for tridiagonal matrices. 92c:15007 

Bernstein, Dennis S. Some open problems in matrix theory arising in linear systems and 
control. 92k:93040 

Borogovac, M. Multiplicities of nonsimple zeros of meromorphic matrix functions of the 
class Nz*". 92i:47014 

Bri, Rafael (with Rodman, Leiba; Schneider, Hans) Extensions of Jordan bases for 
invariant subspaces of a matrix. 92b:15025 

Davydov, G. V. (with Davydova, I. M.) Solvability of the system Ax = 0, x > 0, with 
indeterminate coefficients. (Russian) 92c:15004 

Davydova, I. M. see Davydov, G. V., 92c:15004 

Eriksson, Kimmo Convergence of Mozes’s game of numbers. 92m:90073 

Friedland, Shmuel Pairs of matrices which do not admit a complementary triangular form. 
92b:15017 

Fuhrmann, P. A. Functional models in linear algebra. 92k:93044 

Gohberg, Israel see Alpay, Daniel; et al., 92j:47031 and Ball, Joseph A.; et al., 92m:47027 

Gottlieb, Alex D. (with Lipman, Joseph) Group-theoretic axioms for projective geometry. 
92g:51002 

Gurvich, V. A. (with Libkin, L.O.) Quasiconvex analysis on semilattices and absolutely 
defined matrices. (Russian) 92k:90120 

Heinig, Georg On structured matrices, generalized Bezoutians and generalized Christoffel- 
Darboux formulas. 92e:15009 

Klafszky, Emil (with Terlaky, Tamas) The role of the pivot technique in proving some 
fundamental theorems of linear algebra. (Hungarian. English summary) 924:65048 

Libkin, L.O. see Gurvich, V. A., 92k:90120 

Lipman, Joseph see Gottlieb, Alex D., 92g:51002 

Lovasz, Laszlé6 Singular spaces of matrices and their application in combinatorics. 
92i:05161 

Mittas, Jean Sur les structures hypercompositionnelles. (English summary) [On hypercom- 
positional structures] 92e:08002 

Nanda, Sudarsan Fuzzy algebras over fuzzy fields. 92¢:04007 

Pulleyblank, William R. Polyhedral combinatorics. (see 92a:90001) 

Rakowski, Marek see Ball, Joseph A., 92i:47094 

Rodman, Leiba see Bri, Rafael; et al., 92b:15025; Alpay, Daniel; et al., 92j:47031 and Ball, 
Joseph A.; et al., 92m:47027 

Roy, Damien Sur une version algébrique de la notion de sous-groupe minimal relatif de R”. 
(English summary) [An algebraic version of the notion of relative minimal subgroup in 
R"}] 92c:11066 

Schneider, Hans see Bri, Rafael; et al., 92b:15025 

Scully, Daniel J. Maximal rank-one spaces of matrices over chain semirings. I. u-spaces. 
92b:15029 

Seitz, K. On invariant transformations of matrix dyads. 92b:20081 

Sergeichuk, V. V. A remark on the classification of holomorphic matrices up to similarity. 
(Russian) 92k:58035 

Shevelev, V.S. Cyclic polynomials of square matrices. (Russian. English summary) 
92k:05009 

Simson, Daniel Peak reductions and waist reflection functors. 92f:16009 

Terlaky, Tamas see Klafszky, Emil, 92d:65048 

Viskov, O. V. On the ordered form of a noncommutative binomial. (Russian) 92j:17029 

Wang, Guo Rong! (with Wang, Zheng) A simplified determinant representation for optimal 
approximate solutions to the m*~ix equation AX H = K. (Chinese. English summary) 

Wang, Jin Hsien (with Wu, Pei Yuan) Sums of square-zero operators. 92m:47075 

Wang, Zheng see Wang, Guo Rong’; et al. 

Wu, Pei Yuan see Wang, Jin Hsien, 92m:47075 

Zhang, Xing Fang A kind of system of grey linear equations and the solution of its matrix. 
92f:15001 

Zhang, Yao Criteria for several classes of matrices. (Chinese. English summary) 92f:65055 





16-XX 


16-XX Associative rings and algebras {For the 
commutative case, see 13-XX.} 


16-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Lam, T. Y. * A first course in noncommutative rings. 92f:16001 
Wisbauer, Robert * Foundations of module and ring theory. 92i:16001 


Items with secondary classifications in 16-01 

Artin, Michael * Algebra. 92g:00001 

Bakhturin, Yu. A. * OcHosHbie cTpyKTypbI CoppemMeHHOK amre6pni. (Russian) [Basic 
structures of modern algebra] 92b:00001 

Dummit, David S. (with Foote, Richard M.) * Abstract algebra. 92k:00007 

Foote, Richard M. see Dummit, David S., 92k:00007 


16-02 Research exposition (monographs, survey articles) 


Items with secondary classifications in 16-02 

Ara, Pere (with Armendariz, Efraim P.; Park, Jae Keol) Continuous rings with restricted 
chain conditions. 92¢:16023 

Armendariz, Efraim P. see Ara, Pere; et al., 92c:16023 

(Behr, E.) see Algebra, 92b:00057 

Benson, David John * Representations and cohomology. I. 92m:20005 

Fuller, Kent R. The Cartan determinant and global dimension of Artinian rings. 92m:16035 

(Kostrikin, Aleksei Ivanovich) see Algebra, 92b:00057 

Mohamed, Saad H. (with Miiller, Bruno J.) * Continuous and discrete modules. 
92b:16009 

Miller, Bruno J. see Mohamed, Saad H., 92b:16009 

Park, Jae Keol sev Ara, Pere; et al., 92c:16023 

(Shafarevich, I. R.) see Algebra, 92b:00057 

Shimpuku, Taro * Symmetric algebras by direct product of Clifford algebra. 92j:15018 

Vovsi, Samuel M. Some ring themes in the theory of varieties of group representations. 
92k:20020 


Items listed otherwise than by author 
Algebra * Algebra. II. 92b:00057 
Encyclopaedia of Mathematical Sciences * Algebra. II. 92b:00057 


16-03 Historical (must also be assigned at least one 
classification number from Section 01) 
Boza Cordero, Juan Modules: the evolution of a concept. (Spanish) (see 92e:00013) 


Items with secondary classifications in 16-03 


Michler, Gerhard O. Vom Hilbertschen Basissatz bis zur Klassifikation der endlichen 
einfachen Gruppen. [From Hilbert’s basis theorem to the classification of finite simple 
groups] 92b:01045 

Murray, F. J. The rings of operators papers. 92c:01036 


16-06 Proceedings, conferences, collections, etc. 


(Azumaya, Goro) see Azumaya algebras, actions, and modules, 92h:16001 

(Dlab, Vlastimil) see Representations of finite-dimensional algebras, 92h:16002 
(Haile, Darrell) see Azumaya algebras, actions, and modules, 92h:16001 

(Osterburg, James) see Azumaya algebras, actions, and modules, 92h:16001 
(Sumioka, Takeshi) see Proceedings: Symposium on Ring Theory, 92i:16002 
(Tachikawa, Hiroyuki) see Representations of finite-dimensional algebras, 92h:16002 


Items listed otherwise than by author 
Azumaya algebras, actions, and modules * Azumaya algebras, actions, and modules. 
92h:16001 
Birthday: 
Azumaya, Goro * Azumaya algebras, actions, and modules. 92h:16001 
Bloomington, IN * Azumaya algebras, actions, and modules. 92h:16001 
Conference: 
Azumaya, Goro * Azumaya algebras, actions, and modules. 92h:16001 
Representation Theory of Algebras * Representations of finite-dimensional algebras. 
92h:16002 
Contemporary Mathematics * Azumaya algebras, actions, and modules. 92h:16001 
Osaka * Proceedings of the 24th Symposium on Ring Theory. 92i:16002 
Proceedings: 
Symposium on Ring Theory * Proceedings of the 24th Symposium on Ring Theory. 
92i:16002 
Representations of finite-dimensional algebras * Representations of finite-dimensional 
algebras. 92h:16002 
Symposium: 
Ring Theory * Proceedings of the 24th Symposium on Ring Theory. 92i:16002 
Tsukuba * Representations of finite-dimensional algebras. 92h:16002 


Items with secondary classifications in 16-06 
Cochin * Proceedings of the Symposium on Algebra and Number Theory. 92m:00056 
Proceedings: 
Symposium on Algebra and Number Theory * Proceedings of the Symposium on Algebra 
and Number Theory. 92m:00056 
Symposium: 
Algebra and Number Theory * Proceedings of the Symposium on Algebra and Number 
Theory. 92m:00056 


ASSOCIATIVE RINGS AND ALGEBRAS 


16Bxx General and miscellaneous 


16B50 Category-theoretic methods and results (except as in 
16D90, 16E10) [see also 18-XX] 


Botha, S. G. (with Buys, A.) Nilpotency, solvability and radicals in categories. 92b:16001 

Buys, A. see Botha, S. G., 92b:16001 

Dikranjan, Dikran N. (with Giuli, Eraldo) Factorizations, injectivity and compactness in 
categories of modules. 92d:16001 

Giuli, Eraldo see Dikranjan, Dikran N., 92d:16001 


Items with secondary classifications in 16B50 

Bergman, George M. Co-rectangular bands and cosheaves in categories of algebras. 
92k:08004 

Colpi, Riccardo (with Gregorio, Enrico; Orsatti, Adalberto) The basic ring of a locally 
Artinian commutative Grothendieck category. 92g:18008 

Gregorio, Enrico see Colpi, Riccardo; et al., 92g:18008 

Orsatti, Adalberto see Colpi, Riccardo; et al., 92g:18008 

Rumbos, I. Beatriz The Lambek sheaf reexamined. 92m:18018a 

— The Lambek sheaf revisited. Corrigenda: “The Lambek sheaf reexamined”. 92m:18018b 

Ulbrich, K.-H. Generalized crossed products and Azumaya algebras. 92a:16022 


16B99 None of the above, but in this section 


Bapat, M.S. see Kumbhojkar, H. V., 92d:16002 

Gelashvili, T. M. Lattices of cosets of associated algebras. (Russian. English and Georgian 
summaries) 92a:16001 

Kumbhojkar, H. V. (with Bapat, M. S.) Correspondence theorem for fuzzy ideals. 
92d:16002 

Malik, D.S. (with Mordeson, John N.) Fuzzy homomorphisms of rings. 92k:16001 

Mordeson, John N. see Malik, D. S., 92k:16001 


Items with secondary classifications in 16B99 

Gelfand, I. M. (with Retakh, V.S.) Determinants of matrices over noncommutative rings. 
(Russian) 92k:15018 

Retakh, V.S. see Gel’fand, I. M., 92k:15018 


16Dxx Modules, bimodules and ideals 


Items with secondary classifications in 16Dxx 
van Driel, Peter see Fuchs, Jiirgen, 92j:81270 
Fuchs, Jiirgen (with van Driel, Peter) Fusion rule engineering. 92j:81270 


16D10 General module theory 


Agoston, Istvan (with Dean, Andrew P.) P-bases for torsion-free regular modules. 
92j:16001 

Andrunakievich, V. A. (with Ryabukhin, Yu. M.) Identities with respect to a right ideal P 
and the ideals of the module R/P.(Russian) 92c:16001 

Azumaya, Goro Some characterizations of regular modules. 92d:16003 

Dean, Andrew P. see Agoston, Istvan, 92j:16001 

Dinh Van Huynh (with Nguyén Viét Ding”; Wisbauer, Robert) On modules with finite 
uniform and Krull dimension. 92g:16001 

Nashier, Budh (with Nichols, Warren D.) A note on perfect rings. 92d:16004 

Nguyén Viét Ding? see Dinh Van Huynh; et al., 92g:16001 

Nichols, Warren D. see Nashier, Budh, 92d:16004 

Ryabukhin, Yu. M. see Andrunakievich, V. A., 92c:16001 

Wisbauer, Robert see Dinh Van Huynh; et al., 92g:16001 


Items with secondary classifications in 16D10 

D’Este, Gabriella Algebras with a large dual. 92m:16003 

Khuri, Soumaya Makdissi Nonsingular retractable modules and their endomorphism rings. 
92b:16064 

Miller, Bruno J. (with Singh, Surjeet) Uniform modules over serial rings. 92m:16027 

Oshiro, Kiyoichi On Harada rings. III. 92k:16027 

Singh, Surjeet see Miller, Bruno J., 92m:16027 


16D15 _ 1-sided ideals 
Veldsman, Stefan Extensions and ideals of rings. 92i:16003 


Items with secondary classifications in 16D15 

Beckmann, P. (with Stiickrad, Jiirgen) The concept of Grébner algebras. 92f:13029 

Rosenberg, Alexander L. The left spectrum, the Levitzki radical, and noncommutative 
schemes. 92d:14001 

Stiickrad, Jiirgen see Beckmann, P., 92f:13029 


16D20 Bimodules 


Items with secondary classifications in 16D20 


Diab, Viastimil (with Ringel, Claus Michael) Towers of semi-simple algebras. 92j:16013 

de la Peiia, José A. (with Simson, Daniel) Prinjective modules, reflection functors, 
quadratic forms, and Auslander-Reiten sequences. 92e:16005 

Ringel, Claus Michael see Diab, Viastimil, 92j:16013 ‘ 

Simson, Daniel see de la Peiia, José A., 92e:16005 

Warfield, Robert B., Jr. Noetherian ring extensions with trace conditions. 92g:16032 





273 1992 


16D25 2-sided ideals 
Zhang, Wei> Ona problem of Leavitt and Rossa. (Chinese) 92¢:16001 


Items with secondary classifications in 16D25 

Auslander, Maurice (with Platzeck, M. I.; Todorov, Gordana) Homological theory of 
idempotent ideals. 92j:16008 

Bergen, Jeffrey (with Passman, D.S.) Delta methods in enveloping rings. 92b:16056 

Chen, Chang Nan (with Zhu, Bin) Ideal lattices of a class of subrings of complete matrix 
rings over strongly graded rings. (Chinese. English summary) 

Passman, D.S. see Bergen, Jeffrey, 92b:16056 

Platzeck, M.1. see Auslander, Maurice; et al., 92j:16008 

Todorov, Gordana see Auslander, Maurice; et al., 92j:16008 

Zhu, Bin see Chen, Chang Nan; et al. 


16D30 Maximal and prime 2-sided ideals [see also 16N60, 
16D60}], simple rings (except as in 16Kxx) 


Jespers, Eric (with Puczytowski, Edmund R.) On ideals of tensor products. 92k:16002 
Puczylowski, Edmund R. see Jespers, Eric, 92k:16002 


Items with secondary classifications in 16D30 


Alajbegovi¢, Jusuf H. (with Dubrovin, N. I.) Noncommutative Priifer rings. 92b:16019 

Dubrovin, N. I. see Alajbegovi¢, Jusuf H., 92b:16019 

Feigelstock, Shalom (with Raphael, R.) On additive groups of semi-local rings. 92h:20082 

Gardner, B. J. (with Stewart, Patrick) Prime essential rings. 92m:16029 

Grater, Joachim The “Defektsatz” for central simple algebras. 92f:16018 

Jespers, Eric Semigroup graded rings and Jacobson rings. 92c:16038 

Leroy, André (with Matczuk, Jerzy) Prime ideals of Ore extensions. 92h:16029 

Matczuk, Jerzy see Leroy, André, 92h:16029 

Miiller, Bruno J. (with Singh, Surjeet) Uniform modules over serial rings. II. 92d:16013 

Nimbhorkar, S. K. see Thakare, N. K., 92d:16042 

Osterburg, James (with Peligrad, Costel) A strong Connes spectrum for finite group actions 
of simple rings. 92m:16044 

Peligrad, Costel see Osterburg, James, 92m:16044 

Raphael, R. see Feigelstock, Shalom, 92h:20082 

Singh, Surjeet see Miller, Bruno J., 92d:16013 

Stewart, Patrick see Gardner, B. J., 92m:16029 

Thakare, N. K. (with Nimbhorkar, S. K.) Prime strict ideals in Rickart *-rings. 92d:16042 

Voskoglou, Michael G. Semiprime ideals of skew polynomial rings. 92¢:16032 

Warfield, Robert B., Jr. Noetherian ring extensions with trace conditions. 92g:16032 

Wright, Mary H. Links between prime ideals of a serial ring with Krull dimension. 
92b:16047 

Yang, Shaochen Delta-modules and their quasi-injective hulls. 92b:16048 


16D40 Free, projective, and flat modules and ideals 
[see also 18G05, 19A13] 


Chen, Jia Nai On coflat modules and their hereditary properties. 

Chen, Jian Long Regular rings and GP-injective rings. (Chinese. English summary) 
92c:16002 

— On von Neumann regular rings and SF-rings. 92m:16001 

Cheng, Fu Chang (with Zhao, Yi Cai) The structure of coherent FP-rings. (Chinese) 
92k:16003 

Goze, Michel (with Makhlouf, Abdenacer) On the rigid complex associative algebras. 
92d:16005 

Leissner, Werner Rings of stable rank 2 are Barbilian rings. 92i:16004 

Makhlouf, Abdenacer see Goze, Michel, 92d:16005 

Nashier, Budh (with Nichols, Warren D.) On Steinitz properties. 92g:16002 

Nichols, Warren D. see Nashier, Budh, 92g:16002 

O'Neill, John D. An unusual ring. 92i:16005 

del Rio Mateos, Angel (with Saorin Castano, M.) Dualities and dimensions of endomor- 
phism rings. 92k:16004 

Saorin Castaiio, M. see del Rio Mateos, Angel, 92k:16004 

Wolfson, Kenneth G. Locally free modules. 92c:16003 

Zhao, Yi Cai see Cheng, Fu Chang; et al., 92k:16003 

Zhu, Sheng Lin On rings over which every flat left module is finitely projective. 92j:16002 


Items with secondary classifications in 16D40 


Colpi, Riccardo Some remarks on equivalences between categories of modules. 92d:16010 

Dinh Van Huynh (with Smith, Patrick F.) Some rings characterised by their modules. 
92b:16007 

Faticoni, Theodore G. (with Goeters, H. Pat) Examples of torsion-free groups flat as 
modules over their endomorphism rings. 92c:20098 

Goeters, H. Pat see Faticoni, Theodore G., 92c:20098 

Gémez Pardo, J. L. (with Rodriguez Gonzalez, N.) Endomorphism rings with Morita 
duality. 92f:16005 

Gémez Torrecillas, José (with Torrecillas Jover, Blas) Torsionfree covers and covers by 
submodules of flat modules. 92m:16051a 

— (with Torrecillas Jover, Blas) Corrigendum to the paper: “Torsionfree covers and covers 
by submodules of flat modules”. 92m:16051b 

Gray, Dereck On flatness relative to a torsion theory. 92m:16052 

Ion, Ion D. (with Nita, Constantin) Graded ultraproducts. 92i:03032 

Konig, Steffen Projective resolutions and quasi-heredity. 92m:16012 

Lee, Yang see Marubayashi, Hidetoshi; et al., (92i:16002) 

Marubayashi, Hidetoshi (with Lee, Yang; Park, Jae Keol) Prime ideals in polynomial rings 
over hereditary Pl-rings. (see 92i:16002) 

Mohamed, Saad H. (with Miiller, Bruno J.) * Continuous and discrete modules. 
92b:16009 


16D Modules, bimodules and ideals 


16D50 


Mulero Diaz, Ma. Angeles Flatness criterion for C(X) modules. (Spanish. English 
summary) (see 92m:00050) 

Miller, Bruno J. see Mohamed, Saad H., 92b:16009 

Nashier, Budh (with Nichols, Warren D.) A note on perfect rings. 92d:16004 

Nichols, Warren D. see Nashier, Budh, 92d:16004 

Nita, Constantin see Ion, Ion D., 92i:03032 

Park, Jae Keol see Marubayashi, Hidetoshi; et al., (92i:16002) 

Rodriguez Gonzalez, N. see Gémez Pardo, J. L., 92f:16005 

Smith, Patrick F. see Dinh Van Huynh, 92b:16007 

Torrecillas Jover, Blas see Gémez Torrecillas, José, 92m:16051a and 92m:16051b 

Triifaj, Jan Nonperfect rings and a theorem of Eklof and Shelah. 92h:03078 

Wiedemann, Alfred On quotients and heredity sequences of quasi-hereditary algebras. 
92m:16017 

Wodzicki, Mariusz Resolution of the cohomology comparison problem for amenable 
Banach algebras. 92k:46121 

Wright, Mary H. Links between prime ideals of a serial ring with Krull dimension. 
92b:16047 

Yakushev, A. O. Projective modules over a ring on differential operators of affine spaces of 
positive characteristic. (Russian) 92b:16057 

Zhang, Shun Hua 7-regular rings and 7 V-rings. (Chinese. English summary) 92b:16071 


16D50 Injective modules, self-injective rings [see also 16L60, 
18G05] 


Al-Huzali, Abdullah (with Jain, Surender Kumar; Lépez-Permouth, Sergio R.) On the weak 
relative-injectivity of rings and modules. 92d:16006 

Armendariz, Efraim P. (with Park, Jae Keol) Self-injective rings with restricted chain 
conditions. 92m:16002 

Azumaya, Goro F-semi-perfect modules. 92b:16002 

Busqué, Claudi Right self-injective regular rings that are biregular. (see 92b:00044) 

Camillo, Victor P. (with Yousif, Mohamed F.) Continuous rings with ACC on annihilators. 
92i:16006 

Chen, Jian Long see Zhang, Ju Le; et al. 

Dauns, John Classes of modules. 92g:16003 

D'Este, Gabriella A construction of injective cogenerators. 92b:16003 

— Algebras with a large dual. 92m:16003 

Enochs, Edgar E. (with Jenda, Overtoun M. G.) Copure injective modules. 92m:16004 

Harada, Manabu On almost relative injectives on Artinian modules. 92g:16004 

Jain, Surender Kumar see Al-Huzali, Abdullah; et al., 92d:16006 

Jenda, Overtoun M. G. see Enochs, Edgar E., 92m:16004 

Kambara, Hikoji On existence of directly finite, only one sided self-injective regular rings. 
92i:16007 

Koike, Kazutoshi Self-injectivity of semitrivial extensions. (see 92i:16002) 

Lépez-Permouth, Sergio R. see Al-Huzali, Abdullah; et al., 92d:16006 

(Page, Stanley S.) see Zhang, Ju Le; et al. 

Park, Jae Keol see Armendariz, Efraim P., 92m:16002 

Rizvi, S. Tariq (with Yousif, Mohamed F.) On continuous and singular modules. 
92b:16004 

Smith, Patrick F. CS-modules and weak CS-modules. 92h:16003 

Tuganbaev, A. A. Rings with poorly injective factor rings. (Russian) 92m:16005 

Wang, Fang Gui Inverse limits and FP-injective hulls of modules. (Chinese. English 
summary) 92f:16002 

Wright, Mary H. Uniform modules over serial rings with Krull dimension. 92b:16005 

Xue, Wei Min? see Zhang, Ju Le; et al. 

Yousif, Mohamed F. see Rizvi, S. Tariq, 92b:16004 and Camillo, Victor P., 92i:16006 

Yue Chi Ming, Roger Injectivity and annihilators. 92j:16003 

— Injective and continuous modules. (Italian summary) 92k:16005 

Zhang, Ju Le p-injectivity and Artinian semisimple rings. (Chinese summary) 92i:16008 

— (with Xue, Wei Min?) Comment: “Some new results on P-injective rings” [J. Anhui 
Normal Univ. No. 2 (1989), 6-11] by Zhang and J. L. Chen and “Regular rings are very 
regular” [Canad. Math. Bull. 25 (1982), no. 1, 118; MR 83f:16019] by S. S. Page. (Chinese 
summary) 

— (with Chen, Jian Long) p-injective rings and semiprime rings. (Chinese. English 
summary) 


Items with secondary classifications in 16D50 


Camillo, Victor P. (with Yousif, Mohamed F.) CS-modules with ACC or DCC on essential 
submodules. 92b:16049 

Dinh Van Huynh (with Smith, Patrick F.) Some rings characterised by their modules. 
92b:16007 

— (with Nguyén Viét Ding”; Wisbauer, Robert) On modules with finite uniform and Krull 
dimension. 92g:16001 

Faith, Carl Embedding torsionless modules in projectives. 92b:16016 

Golan, Jonathan S. (with Lépez-Permouth, Sergio R.) QlI-filters and tight modules. 
92h:16032 

Gémez Torrecillas, José Techniques for the study of nonsingular modules. (Spanish. English 
summary) (see 92b:00044) 

Gregorio, Enrico Classical Morita equivalence and linear topologies; applications to quasi- 
dualities. 92a:16007 

Guo, Jin Yun Necessary and sufficient conditions for the indecomposable modules of a self- 
injective algebra to be determined by their composition factors. (Chinese) 92a:16017 

Hill, David Arneson Torsion modules over the ring of differential polynomials. 92b:16062 

Koike, Kazutoshi see Kurata, Yoshiki, 92k:16045 

Kurata, Yoshiki (with Koike, Kazutoshi) Quotient rings of ®-trivial extensions. 92k:16045 

Lenagan, T. H. (with Warfield, Robert B., Jr.) Affiliated series and extensions of modules. 
92m:16037 

Lépez-Permouth, Sergio R. see Golan, Jonathan S., 92h:16032 

Marmaridis, N. (with de la Pefia, José A.) Quadratic forms and preinjective modules. 
92b:16025 





16D50 


Mohamed, Saad H. (with Miller, Bruno J.) * Continuous and discrete modules. 
92b:16009 

Miller, Bruno J. see Mohamed, Saad H., 92b:16009 

Ng, Ho Kuen see Xu, Jin Zhong 

Nguyén Viét Ding” see Dinh Van Huynh; et al., 92g:16001 

Osofsky, Barbara L. Minimal cogenerators need not be unique. 92k:16008 

de la Peta, José A. see Marmaridis, N., 92b:16025 

Pham Ngoc Anh Characterisation of two-sided PF-rings. 92i:16018 

Raggi Cardenas, Francisco Federico (with Rios Montes, José) On the lattice structure of 
torsion theories. 92¢:16034 

Rickard, Jeremy The representation type of self-injective algebras. 92f:16015 

Rios Montes, José see Raggi Cardenas, Francisco Federico, 92c:16034 

Smith, Patrick F. see Dinh Van Huynh, 92b:16007 

Warfield, Robert B., Jr. see Lenagan, T. H., 92m:16037 

Wickstead, A. W. An intrinsic characterisation of self-injective semi-prime commutative 
rings. 92a:13007 

Wisbauer, Robert Generalized co-semisimple modules. 924:16009 

— see also Dinh Van Huynh; et al., 92g:16001 

Xu, Jin Zhong (with Ng, Ho Kuen) Decomposition of quasi-injective objects over a 
Grothendieck category. 

Yang, Shaochen Delta-modules and their quasi-injective hulls. 92b:16048 

Yousif, Mohamed F. see Camillo, Victor P., 92b:16049 

Zhang, Ju Le Endomorphism rings of generalized quasi-injective modules. (Chinese 
summary) 


16D60 Simple and semisimple modules, primitive rings and 
ideals 


de la Harpe, Pierre (with Jones, V. F.R.) Paires de sous-algébres semi-simples et graphes 
fortement réguliers. (English summary) [Pairs of semisimple subalgebras and strongly 
regular graphs] 92c:16004 

Jones, V.F.R. see de la Harpe, Pierre, 92c:16004 

Martinez-Villa, Roberto Properties that are left invariant under stable equivalence. 
92a:16002 

Sakhaev, I. I. On lifting finite generacy of a projective module modulo its radical. (Russian) 
92d:16007 

Xu, Yong Hua! Primitive rings and other topics in ring theory. 92d:16008 

Zhu, Bin Some conditions for subdirectly irreducible rings to be full matrix rings or division 
rings. (Chinese summary) 92b:16006 


Items with secondary classifications in 16D60 


Cuenca Mira, José Antonio (with Garcia Martin, Amable; Martin Gonzalez, Candido) On 
the -radical of an associative pair and a Wedderburn-type theorem for associative triple 
systems. (Spanish. English summary) (see 92b:00044) 

D’Este, Gabriella A construction of injective cogenerators. 92b:16003 

Garcia Martin, Amable see Cuenca Mira, José Antonio; et al., (92b:00044) 

Giotopoulos, S. (with Katseli, N.) Modular annihilator algebras. 92m:16030 

Katseli, N. see Giotopoulos, S., 92m:16030 

Martin Gonzalez, Candido see Cuenca Mira, José Antonio; et al., (92b:00044) 

Miller, Bruno J. (with Zhang, Ying Lan) Ore localization in he first Weyl algebra. 
92b:16069 

Zhang, Ying Lan see Miller, Bruno J., 92b:16069 


16D70 Structure and classification (except as in 16Gxx), direct 
sum decomposition, cancellation 


Ahmad, Mofeed see Khan, M. Zubair; et al., 92k:16007 

Ansari, A. Halim see Khan, M. Zubair; et al., 92k:16007 

Camps, Rosa (with Menal, Pere) Power cancellation for Artinian modules. 92m:16006 

Chen, Zhi Zhong! On the Krull-Remak-Schmidt-Azumaya theorem: a connection between 
modules and category theory. (Chinese) 92a:16003 

Dinh Van Huynh (with Smith, Patrick F.) Some rings characterised by their modules. 
92b:16007 

Fan, Fu Sheng Subdirectly irreducible completely left symmetric I’-rings. (Chinese. English 
summary) 92b:16008 

Gail Asensio, Pedro A. Exactness of double dual functors in the category o[M]. (Spanish. 
English summary) (see 92m:00048) 

Guo, Jin Yun The structure of indecomposable modules of an algebra stably equivalent to a 
hereditary algebra. (Chinese) 92k:16006 

Hirano, Yasuyuki (with Sumiyama, Takao) On finite indecomposable rings. (see 92i:16002) 

— Some characterizations of z-regular rings with no infinite trivial subring. 92e:16002 

Khan, M. Zubair (with Ahmad, Mofeed; Ansari, A. Halim) On subsocles of S)-modules. II. 
92k:16007 

Krieg, Aloys Associative triple systems of Hecke type. 92¢:16003 

Menal, Pere see Camps, Rosa, 92m:16006 

Mohamed, Saad H. (with Miiller, Bruno J.) * Continuous and discrete modules. 
92b:16009 

Miiller, Bruno J. see Mohamed, Saad H., 92b:16009 

Nguyén Viét Ding? Modules whose closed submodules are finitely generated. 92a:16004 

de la Penta, José A. Sur les degrés de liberté des indécomposables. (English summary) [On 
the number of parameters of indecomposable modules] 92c:16005 

Smith, Patrick F. see Dinh Van Huynh, 92b:16007 

Sumiyama, Takao see Hirano, Yasuyuki, (92i:16002) 

Wang, Fang Gui The heredity for IBN rings. (Chinese. English summary) 92a:16005 

Yin, Dong Sheng see Zhou, Shi Fan; et al., 92g:16005 

Yoshikawa, Katsuyuki Homogeneity and complete decomposability of torsion free knot 
modules. 92b:16010 

Zhou, Shi Fan (with Yin, Dong Sheng) The structure of mid-domains. (Chinese. English 
summary) 92g:16005 


ASSOCIATIVE RINGS AND ALGEBRAS 


Items with secondary classifications in 16D70 

Al-Huzali, Abdullah (with Jain, Surender Kumar; Lo6pez-Permouth, Sergio R.) On the weak 
relative-injectivity of rings and modules. 924:16006 

Bell, Howard E. Commutativity results for semigroups in rings. 92f:16039 

— (with Klein, Abraham A.) On rings with Engel cycles. 92j:16023 

Bican, Ladislav (with Torrecillas Jover, Blas) A general form of Kulikov’s theorem. 
92g:16046 

Booth, G. L. (with Groenewald, N. J.; Olivier, W. A.) A general type of regularity for I- 
rings. 92m:16071 

D'Este, Gabriella A construction of injective cogenerators. 92b:16003 

Garotta, Odile A generalization of Webb’s theorem to Auslander-Reiten systems. 92b:16029 

Groenewald, N. J. (with Olivier, W. A.) A generalization of semi prime ideals in I’-rings. 
92m:16072 

— see also Booth, G. L.; et al., 92m:16071 

Han, Juncheol Involutions in left Artinian rings. 92c:16021 

Hirano, Yasuyuki On extensions of rings with finite additive index. 92f:16044 

Jain, Surender Kumar see Al-Huzali, Abdullah; et al., 92d:16006 

Kishimoto, Kazuo! see Nagahara, Takasi, (92i:16002) 

Klein, Abraham A. see Bell, Howard E., 92j:16023 

Liu, Xiao Dong The primary class of derivations for rings and the structure of rings. 
(Chinese. English summary) 

Lépez-Permouth, Sergio R. see Al-Huzali, Abdullah; et al., 92d:16006 

Loustaunau, Philippe (with Shapiro, Jay) Morita contexts. 92b:16012 

Mikhovski, S. V. Central algebraic elements of strongly group-graded rings. 92b:16085 

Nagahara, Takasi (with Kishimoto, Kazuo!) G-extensions and Galois theory of semi- 
connected rings. (see 92i:16002) 

Olivier, W. A. see Booth, G. L.; et al., 92m:16071 and Groenewald, N. J., 92m:16072 

Shapiro, Jay see Loustaunau, Philippe, 92b:16012 

Torrecillas Jover, Blas see Bican, Ladislav, 92g:16046 

Trlifaj, Jan Constructions and homological properties of simple von Neumann regular 
rings. 92a:16015 

Tuganbaev, A. A. Rings with poorly injective factor rings. (Russian) 92m:16005 

Vasantha, W. B. Idempotents in quasi-reflexive group rings. 

Wiegand, Roger Torsion-free modules over regular domains of dimension two. 92m:13016 

Wright, Mary H. Uniform modules over serial rings with Krull dimension. 92b:16005 

van Wyk, Leon The 2-primitive ideals of structural matrix near-rings. 92f:16060 

Xu, Yong Hua! Primitive rings and other topics in ring theory. 92d:16008 

Zhou, Shi Fan The structure of a class of abelian groups. (Chinese. English summary) 
92i:20057 


16D80 Other classes of modules and ideals [see also 16G60] 


Al-Khazzi, Ibrahim (with Smith, Patrick F.) Modules with chain conditions on superfluous 
submodules. 92h:16004 

Andrunakievich, V. A. (with Ryabukhin, Yu. M.) Ideals relative to a right ideal P, and C- 
identities for C ~ R/P.(Russian) 92c:16006 

Ara, Pere (with Park, Jae Keol) On continuous semiprimary rings. 92g:16006 

Ced6, Ferran Zip rings and Mal’cev domains. 92g:16007 

Crivei, I. Classes of R-modules for which every nonzero homomorphism is an epimorphism. 
(Romanian. English summary) 

Faith, Carl Annihilator ideals, associated primes and Kasch-McCoy commutative rings. 
92g:16008 

Fuller, Kent R. (with Xue, Wei Min*) On distributive modules and locally distributive 
Tings. 92f:16003 

— (with Nicholson, W. K.; Watters, J. F.) Universally reflexive algebras. 92g:16009 

Hoshino, Mitsuo (with Yukimoto, Yoshito) A generalization of heredity ideals. 92j:16004 

Nicholson, W. K. see Fuller, Kent R.; et al., 92g:16009 

O'Neill, John D. Slender modules over various rings. 92j:16005 

Osofsky, Barbara L. Minimal cogenerators need not be unique. 92k:16008 

Park, Jae Keol see Ara, Pere, 92g:16006 

Ryabukhin, Yu. M. see Andrunakievich, V. A., 92c:16006 

Smith, Patrick F. see Al-Khazzi, Ibrahim, 92h:16004 

Watters, J. F. see Fuller, Kent R.; et al., 92g:16009 

Wisbauer, Robert Generalized co-semisimple modules. 924:16009 

Xue, Wei Min? Exact modules and serial rings. 92f:16004 

— see also Fuller, Kent R.; et al., 92f:16003 

Yukimoto, Yoshito see Hoshino, Mitsuo, 92j:16004 


items with secondary classifications in 16D80 

Azumaya, Goro Some characterizations of regular modules. 92d:16003 

— F-semi-perfect modules. 92b:16002 

Bican, Ladislav (with Salce, Luigi) Butler modules in torsion theories. (Italian summary) 
92b:16068 

Chen, Miao Sen Characterization of the Jacobson conjecture on right serial rings. (Chinese. 
English summary) 92b:16033 

Dauns, John Classes of modules. 92g:16003 

Dugas, Manfred Large E-modules exist. 92j:20055 

Eklof, Paul C. (with Shelah, Saharon) On Whitehead modules. 92h:03077 

Gomez Torrecillas, José (with Torrecillas Jover, Blas) Torsionfree covers and covers by 
submodules of flat modules. 92m:16051a 

— (with Torrecillas Jover, Blas) Corrigendum to the paper: “Torsionfree covers and covers 
by submodules of flat modules”. 92m:16051b 

Gray, Dereck On flatness relative to a torsion theory. 92m:16052 

Morimoto, Shoji (with Shigenaga, Kazuo) On the generalized ¢-full modules. II. 92g:16029 

Oshiro, Kiyoichi On Harada rings. III. 92k:16027 

Osofsky, Barbara L. (with Smith, Patrick F.) Cyclic modules whose quotients have all 
complement submodules direct summands. 92f:16030 

Salce, Luigi see Bican, Ladislav, 92b:16068 

Shelah, Saharon see Eklof, Paul C., 92h:03077 

Shigenaga, Kazuo see Morimoto, Shoji, 92g:16029 





275 1992 


Smith, Patrick F. see Osofsky, Barbara L., 92f:16030 

Torrecillas Jover, Blas see Gomez Torrecillas, José, 92m:16051a and 92m:16051b 

Trlifaj, Jan von Neumann regular rings and the Whitehead property of modules. 92c:16009 
Wolfson, Kenneth G. Locally free modules. 92c:16003 

Yue Chi Ming, Roger Injective and continuous modules. (Italian summary) 92k:16005 


16D90 Module categories [see also 16Exx, 16Gxx, 16890]; 
module theory in a category-theoretic context; Morita 
equivalence and duality 


Colpi, Riccardo Some remarks on equivalences between categories of modules. 92d:16010 

Ding, Nan Qing Duality in coherent rings. (Chinese. English summary) 92a:16006 

Gomez Pardo, J. L. (with Rodriguez Gonzalez, N.) Endomorphism rings with Morita 
duality. 92f:16005 

Gregorio, Enrico Classical Morita equivalence and linear topologies; applications to quasi- 
dualities. 92a:16007 

Guo, Shan Liang A note on Fuller categories. 92k:16009 

Hoshino, Mitsuo Syzygies and Gorenstein rings. 92¢:16004 

Kashu, A. I. Fundamental functors of the categories of modules, and lattices of submodules. 
IIL. (Russian) 92a:16008 

Kerner, Otto (with Skowrotiski, Andrzej) On module categories with nilpotent infinite 
radical. 92b:16011 

Kyuno, Shoji (with Smith, Mi-Soo B.) Ideal correspondences over a nonunital Morita 
context. 92a:16009 

Loi, N. V. see Pham Ngoc Anh; et al., 92k:16010 

Loustaunau, Philippe (with Shapiro, Jay) Morita contexts. 92b:16012 

Menini, Claudia (with del Rio Mateos, Angel) Morita duality and graded rings. 92j:16006 

Nauman, Syed Khalid Static modules, stable Clifford theory, and Morita similarities of 
rings. 92g:16010 

de la Peiia, José A. (with Simson, Daniel) Prinjective modules, reflection functors, 
quadratic forms, and Auslander-Reiten sequences. 92¢:16005 

Pham Ngoc Anh (with Loi, N. V.; Thanh, D. V.) Perfect rings without identity. 92k:16010 

del Rio Mateos, Angel Graded rings and equivalences of categories. 92d:16011 

— see also Menini, Claudia, 92j:16006 

Robson, J.C. Simple rings and Morita contexts. 

Rodriguez Gonzalez, N. see Gémez Pardo, J. L., 92£:16005 

Shapiro, Jay see Loustaunau, Philippe, 92b:16012 

Simson, Daniel A narrow over-ring adjustment functor. 92¢:16006 

— see also de la Peita, José A., 92e:16005 

Skowrorski, Andrzej see Kerner, Otto, 92b:16011 

Smith, Mi-Soo B. see Kyuno, Shoji, 92a:16009 

Thanh, D. V. see Pham Ngoc Anh; et al., 92k:16010 

Wiedemann, Alfred On stratifications of derived module categories. 92d:16012 

Wisbauer, Robert On modules with the Kulikov property and pure semisimple modules and 
rings. 92g:16011 

Yoshino, Yuji The stable category of modules of finite projective dimension. (see 92i:16002) 

Zhang, Sheng Gui A characterization of local Morita duality on rings with enough 
idempotents. (Chinese. English summary) 92h:16005 

Zhou, Zheng Ping Equivalence and duality of quotient categories. 92k:16011 


Items with secondary classifications in 16D90 

Andrunakievich, V. A. (with Ryabukhin, Yu. M.) Ideals relative to a right ideal P, and C- 
identities for C ~ R/P.(Russian) 92¢:16006 

Auslander, Maurice (with Reiten, Idun) Applications of contravariantly finite subcate- 
gories. 92¢:16009 

— (with Platzeck, M. I.; Todorov, Gordana) Homological theory of idempotent ideals. 
92j:16008 

Bautista Ramos, Raymundo (with Salmer6n, L.) On nonstandard algebras and their 
representations. 92b:16027 

Chamarie, Mare (with Musson, Ian M.) Rings of differential operators on one-dimensional 
algebras. 92d:16033 

Diab, Viastimil (with Ringel, Claus Michael) Towers of semi-simple algebras. 92j:16013 

Drozd, Yu. A. Finite modules over purely Noetherian algebras. (Russian) 92b:16022 

Gregorio, Enrico On a class of linearly compact rings. 92f:16053 

Happel, Dieter On Gorenstein algebras. 92k:16022 

Hoshino, Mitsuo Localization in abelian categories and double dual functors. 92k:18011 

Jain, Surender Kumar (with Lépez-Permouth, Sergio R.; Rizvi, S. Tariq) A characterization 
of uniserial rings via continuous and discrete modules. 92b:16032 

Konig, Steffen Every order is the endomorphism ring of a projective module over a quasi- 
hereditary order. 92h:16012 

— Tilting complexes, perpendicular categories and recollements of derived module 
categories of rings. 92k:18009 

Kraemer, Julius Self-duality for finite normalizing extensions of skew fields. 92c:16029 

Lépez-Permouth, Sergio R. see Jain, Surender Kumar; et al., 92b:16032 

Martinez-Villa, Roberto Properties that are left invariant under stable equivalence. 
92a:16002 

Musson, Ian M. see Chamarie, Marc, 92d:16033 

Platzeck, M. I. see Auslander, Maurice; et al., 92j:16008 

Reiten, Idun see Auslander, Maurice, 92e:16009 

Rickard, Jeremy Lifting theorems for tilting complexes. 92j:16007 

Ringel, Claus Michael see Diab, Viastimil, 92j:16013 

Rizvi, S. Tariq see Jain, Surender Kumar; et al., 92b:16032 

Ryabukhin, Yu. M. see Andrunakievich, V. A., 92c:16006 

Salmerén, L. see Bautista Ramos, Raymundo, 92b:16027 

Scopes, Joanna Cartan matrices and Morita equivalence for blocks of the symmetric groups. 
92h:20023 

Todorov, Gordana see Auslander, Maurice; et al., 92j:16008 

Zhou, Bo Rong Two Clifford’s theorems for strongly group-graded rings. 92f:16051 


16E Homological methods and results 


16D99 None of the above, but in this section 


Abou-Zaid, Salah On fuzzy subnear-rings and ideals. 92k:16012 

Ajmal, Naseem see Dixit, V. N.; et al. 

Asensio Mayor, J. Complementary modules with respect to a Gabriel topology. (Spanish) 
(see 92g:00024) 

Dixit, V.N. (with Kumar, Rajesh; Ajmal, Naseem) Fuzzy ideals and fuzzy prime ideals of a 
ring. 

Ishida, Hiroshi On modules M + S ARTWORK: circle around +. 92e:16007 

Khatab, S. A. see Sidky, F. 1., 92k:16013 

Kumar, Rajesh Fuzzy semiprimary ideals of rings. 92c:16007 

— Fuzzy irreducible ideals in rings. 92g:16012 

— Fuzzy nil radicals and fuzzy primary ideals. 92g:16013 

— see also Dixit, V. N.; et al. 

Majumdar, Subrata Theory of fuzzy modules. 

Malik, D.S. (with Mordeson, John N.) Fuzzy relations on rings and groups. 92g:16014 

— (with Mordeson, John N.) Fuzzy maximal, radical, and primary ideals of a ring. 
92a:16010 

Mordeson, John N. see Malik, D. S., 92a:16010 and 92g:16014 

Miiller, Bruno J. (with Singh, Surjeet) Uniform modules over serial rings. I]. 92d:16013 

Page, Stanley S. Construction of dense ideals. 92d:16014 

Raftery, James G. (with Sturm, Teo) On the semiprime ideal lattice of a right invariant 
ring. 92g:16015 

Sidky, F.1. (with Khatab, S. A.) Semi-prime fuzzy ideal. 92k:16013 

Singh, Surjeet see Miiller, Bruno J., 92d:16013 

Sturm, Teo see Raftery, James G., 92g:16015 

Tang, Jian Gang Free LF modules. (Chinese. English summary) 

Wang, Ding Guo Graded module left ideals and graded Jacobson radicals. (Chinese. English 
summary) 

Wang, Jing Zhou On the ideals of tensor products of two algebras. (Chinese. English 
summary) 

Xue, Wei Min? A note on two questions of K. Varadarajan. 92d:16015 

Zahedi, M. M. A characterization of L-fuzzy prime ideals. 92k:16014 


Items with secondary classifications in 16D99 

Azumaya, Goro Locally split submodules and modules with perfect endomorphism rings. 
92b:16063 

Fuchs, Peter Rudolf (with Maxson, C. J.) Centralizer near-rings determined by PID- 
modules. 92a:16052 

Henn, Hans-Werner (with Schwartz, Lionel) Indecomposable A-module summands in H*V 
which are unstable algebras. 92b:55025 

lino, Riichi A guide to fuzzy mathematics. (Japanese. English summary) 92h:04006 

Ivanov, S. V. Relation modules and relation bimodules of groups, semigroups and 
associative algebras. 92c:20059 

Maxson, C. J. see Fuchs, Peter Rudolf, 92a:16052 

Ou, Hai Wen Finite normal extensions and modules of rings. (Chinese. English summary) 

Schwartz, Lionel see Henn, Hans-Werner, 92b:55025 

Thévenaz, Jacques Defect theory for maximal ideals and simple functors. 92h:20025 


16Exx Homological methods and results 
[see also 18Gxx] 


16E10 Homological dimension 


Ding, Nan Qing f.f.p. dimensions. (Chinese) 92f:16006 

Enochs, Edgar E. (with Jenda, Overtoun M. G.) Resolvents and dimensions of modules and 
rings. 92h:16006 

Green, Edward L. (with Kirkman, Ellen; Kuzmanovich, James) Finitistic dimensions of 
finite-dimensional monomial algebras. 92a:16011 

— (with Zimmermann-Huisgen, Birge) Finitistic dimension of Artinian rings with vanishing 
radical cube. 92g:16016 

Happel, Dieter A family of algebras with two simple modules and Fibonacci numbers. 
92m:16007 

Hoshino, Mitsuo On the finitistic dimension conjecture. (see 92i:16002) 

Igusa, Kiyoshi Notes on the no loops conjecture. 92b:16013 

Jenda, Overtoun M. G. see Enochs, Edgar E., 92h:16006 

Kirkman, Ellen see Green, Edward L.; et al., 92a:16011 

Kuzmanovich, James see Green, Edward L.; et al., 92a:16011 

Snider, Robert L. Noncommutative regular local rings of dimension 3. II. 92k:16015 

Yang, Jing Hua Global dimension of residue rings. (Chinese. English summary) 

Zimmermann-Huisgen, Birge Predicting syzygies over monomial relations algebras. 
92h:16007 

— see also Green, Edward L., 92g:16016 


Items with secondary classifications in 16E10 


Aljadeff, Eli Serre’s extension theorem for crossed products. 92f:18003 

Artin, Michael (with Tate, John; Van den Bergh, Michel) Some algebras associated to 
automorphisms of elliptic curves. 92e:14002 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Engel elements in the 
homotopy Lie algebra. 92m:55014 

Fujita, Hisaaki Erratum to: “Tiled orders of finite global dimension” [Trans. Amer. Math. 
Soc. 322 (1990), no. 1, 329-342; MR 91b:16016]. 

Fuller, Kent R. (with Zimmermann-Huisgen, Birge) Filtered Cartan matrices for Artinian 
rings of low Loewy length. 92m:16034 

— The Cartan determinant and global dimension of Artinian rings. 92m:16035 

Halperin, Stephen see Félix, Yves; et al., 92m:55014 

Konig, Steffen Projective resolutions and quasi-heredity. 92m:16012 

Maliakas, Mihalis Resolutions, homological dimensions, and extensions of hook represen- 
tations. 92j:20044 





16E10 


Marti 





Villa, Roberto Properties that are left invariant under stable equivalence. 
92a:16002 

Tate, John see Artin, Michael; et al., 92e:14002 

Thomas, Jean-Claude see Félix, Yves; et al., 92m:55014 

Van den Bergh, Michel see Artin, Michael; et al., 92e:14002 

Wiedemann, Alfred A construction of orders of finite global dimension. 92d:16023 

Zii Hui: Birge see Fuller, Kent R., 92m:16034 





16E20 Grothendieck groups, K-theory, etc. [see also 18F30, 
19-XX] 


Alfaro, Ricardo State spaces, finite algebras, and skew group rings. 92d:16016 
Martinez-Villa, Roberto The stable group of a self-injective Nakayama algebra. 92b:16014 


Items with secondary classifications in 16E20 

(Bertuccioni, Inta) see Knus, Max-Albert, 92i:11039 

Brown, Kenneth A. The Artin algebras associated with differential operators on singular 
affine curves. 92f:16032 

Davydov, A. A. Equivariant K-theory of rings. (Russian) 92m:19010 

Goodearl, Kenneth R. Extensions of dimension groups and AF C*-algebras. 92¢:46076 

Hinson, Edward K. Word length in elementary matrices. 92i:20049 

Knus, Max-Albert * Quadratic and Hermitian forms over rings. 92i:11039 

Kropholler, P. H. (with Moselle, B.) A family of crystallographic groups with 2-torsion in 
Ko of the rational group algebra. 92f:20049 

Menal, Pere (with Vaserstein, Leonid N.) On the structure of GL over stable range one 
rings. 92a:20058 

Moselle, B. see Kropholler, P. H., 92f:20049 

Nekovaf, Jan The Maslov index and Clifford algebras. (Russian) 92b:11024 

Sakhaev, I. I. On lifting finite generacy of a projective module modulo its radical. (Russian) 
92d:16007 

Schafer, James A. Traces and the Bass conjecture. 92h:20010 

Schofield, Aidan (with Van den Bergh, Michel) The index of a Brauer class on a Brauer- 
Severi variety. 92m:12003 

Suslin, A. A. SK, of division algebras and Galois cohomology. 92m:12013 

Tachikawa, Hiroyuki (with Wakamatsu, Takayoshi) Cartan matrices and Grothendieck 
groups of stable categories. 92m:16014 

Van den Bergh, Michel see Schofield, Aidan, 92m:12003 

Vaserstein, Leonid N. see Menal, Pere, 92a:20058 

Wakamatsu, Takayoshi see Tachikawa, Hiroyuki, 92m:16014 

Weibel, Charles A. (with Yao, Dongyuan) Localization for the K-theory of noncommuta- 
tive rings. 92m:19006 

Yao, Dongyuan see Weibel, Charles A., 92m:19006 

Zhou, Xiaoming On the decomposition map of Grothendieck groups. 92b:20017 


16E30 Homological functors on modules 


Bjork, J.-E. (with Ekstrém, E. K.) Filtered Auslander-Gorenstein rings. 92d:16017 

Datuashvili, T. I. Homological dimension of extensions of abelian categories and rings. 
92a:16012 

Ekstrém, E. K. see Bjork, J.-E., 92d:16017 

Legrand, A. Differential graded modules over a nonconnected differential graded algebra. 
92k:16016 

Rickard, Jeremy Lifting theorems for tilting complexes. 92j:16007 

Shao, Song Chun Tensor products of left ring modules and tensor products of modules over 
algebras. (Chinese. English summary) 92i:16009 


Items with secondary classifications in 16E30 

D'Este, Gabriella A construction of injective cogenerators. 92b:16003 

Guralnick, Robert M. (with Kimmerle, Wolfgang) On the cohomology of alternating and 
symmetric groups and decomposition of relation modules. 92d:20075 

Hacque, Michel Cohomologies des anneaux-groupes. [Cohomology of ring-groups] 
92h:18004 

Kashu, A. I. Fundamental functors of the categories of modules, and lattices of submodules. 
II. (Russian) 92a:16008 

Kimmerle, Wolfgang see Guralnick, Robert M., 92d:20075 

Triifaj, Jan von Neumann regular rings and the Whitehead property of modules. 92c:16009 

Wodzicki, Mariusz Resolution of the cohomology comparison problem for amenable 
Banach algebras. 92k:46121 


16E40 Hochschild and other homology and cohomology theories 
for rings 

Diab, Viastimil (with Ringel, Claus Michael) The Hochschild cocycle corresponding to a 
long exact sequence. 92d:16018 

Guccione, Jorge Alberto (with Guccione, Juan José) Hochschild homology of complete 
intersections. 92k:16017 

Guccione, Juan José see Guccione, Jorge Alberto, 92k:16017 

Majadas Soto, Javier (with Rodicio, Antonio G.) On the vanishing of Hochschild homology 
of locally complete intersections. 92a:16013 

Ringel, Clans Michael see Diab, Viastimil, 92d:16018 

Rodicio, Antonio G. see Majadas Soto, Javier, 92a:16013 

Sanada, Katsunori On the periodic cohomology of a twisted group algebra. 92g:16017 

Zeng, Qiang Vanishing of Hochschild’s cohomologies H'(A @ A) and gradability of a local 
commutative algebra A. 92b:16015 


Items with secondary classifications in 16E40 


Barou, Genevieve (with Malliavin-Brameret, Marie-Paule) Cohomologie locale et coho- 
mologie d’algébres de Lie. [Local cohomology and Lie algebra cohomology] 92a:17018 

Brodzki, Jacek Lie cochains on an algebra. 92e:17026 

Choi, Soon-Man A note on separable algebras. 


ASSOCIATIVE RINGS AND ALGEBRAS 


1992 276 


Coquereaux, R. Noncommutative geometry and theoretical physics. 92b:58020 

Farnsteiner, Rolf On the cohomology of ring extensions. 92c:16010 

Gerstenhaber, M. (with Schack, S. D.) The shuffle bialgebra and the cohomology of 
commutative algebras. 92e:13008 

Grienfelder, Luzius Tangent cohomology, Hopf algebra actions and deformations. 
92a:16036 

Hiibl, Reinhold * Traces of differential forms and Hochschild homology. 92a:13010 

Kassel, Christian Homologie cyclique, caractére de Chern et lemme de perturbation. [Cyclic 
homology, Chern characters and a pertubation lemma] 92d:19002 

Lago, Ana (with Rodicio, Antonio G.) Generalized Koszul complexes and Hochschild (co- 
)homology of complete intersections. 92m:13018 

Majadas Soto, Javier (with Rodicio, Antonio G.) The Hochschild (co-)homology of 
hypersurfaces. 92m:13019 

Malliavin-Brameret, Marie-Paule see Barou, Genevieve, 92a:17018 

Monks, Kenneth G. Nilpotence and torsion in the cohomology of the Steenrod algebra. 
92m:55023 

Rodicio, Antonio G. see Lago, Ana, 92m:13018 and Majadas Soto, Javier, 92m:13019 

Schack, S. D. see Gerstenhaber, M., 92e:13008 

Shnider, Steven Bialgebra deformations. (French summary) 92¢e:16029 

Vigué-Poirrier, Micheline Homologie de Hochschild et homologie cyclique des algébres 
différentielles graduées. [Hochschild homology and cyclic homology in graded differential 
algebras] 92e:19003 

Xia, Daoxing Trace formulas for almost commuting operators, cyclic cohomology and 
subnormal operators. 92a:47046 


16E50 von Neumann regular rings and generalizations 


Andrunakievich, A. V. (with Andrunakievich, V. A.) Regular rings with respect to a right 
ideal of the ring. (Russian) 92¢:16008 

Andrunakievich, V. A. (with Ryabukhin, Yu. M.) Closure operators on algebras, and strictly 
regular algebras. (Russian) 92a:16014 

— see also Andrunakievich, A. V., 92e:16008 

Bogdanovi¢, Stojan see Ciri¢é, Miroslav, 92g:16018 

Choudhuri, Indrakshi (with Devi, M. Ibemhal; Rege, M. B.) Anti-regularity in rings. 

— (with Devi, M. Ibemhal; Rege, M. B.) One-sided regularity in rings. 

— (with Devi, M. Ibemhal; Rege, M. B.) Regularity in rings: 2-finite rings. 

Chupin, N. A. On Problem 18 from K. R. Goodearl’s von Neumann regular rings [Pitman, 
Boston, MA, 1979; MR 80e:16011]. (Russian) 92i:16010 

Cirié, Miroslav (with Bogdanovié, Stojan) Rings whose multiplicative semigroups are nil- 
extensions of a union of groups. 92g:16018 

Devi, M. Ibemhal see Choudhuri, Indrakshi; et al. 

Faith, Carl Embedding torsionless modules in projectives. 92b:16016 

(Goodearl, Kenneth R.) see Chupin, N. A., 92i:16010 

Hannah, John Regular bisimple rings. 92c:16008 

Hirano, Yasuyuki Some characterizations of 2-regular rings of bounded index. 92h:16008 

Jayaram, C. Strongly regular rings. 92b:16017 

Kamal, Ahmed A. M. Some remarks on the finiteness conditions of rings. 92m:16008 

Kaya, Arif One sided ideals of strongly prime type in regular rings and injectivity. (Turkish 
summary) 92b:16018 

Menal, Pere (with Vaserstein, Leonid N.) On subgroups of GL2 over Banach algebras and 
von Neumann regular rings which are normalized by elementary matrices. 92h:16009 

O’Meara, K.C. Simple regular rings satisfying weak comparability. 92m:16009 

Rege, M. B. see Choudhuri, Indrakshi; et al. 

Ryabukhin, Yu. M. see Andrunakievich, V. A., 92a:16014 

Triifaj, Jan von Neumann regular rings and the Whitehead property of modules. 92c:16009 

— Constructions and homological properties of simple von Neumann regular rings. 
92a:16015 

Tyukavkin, D. V. A regular ring embeddable into any right ideal of it. (Russian) 92i:16011 

Vaserstein, Leonid N. see Menal, Pere, 92h:16009 


Items with secondary classifications in 16E50 


Azumaya, Goro Some characterizations of regular modules. 92d:16003 

Busqué, Claudi Right self-injective regular rings that are biregular. (see 92b:00044) 

Chuang, Chéng Liang (with Li, Pai Fei) On regular subdirect products of simple Artinian 
rings. 92b:16045 

Goodman, Irwin R. (with Nguyen, Hung T.) Foundations for an algebraic theory of 
conditioning. 92k:06018 

Hirano, Yasuyuki Some characterizations of 2-regular rings with no infinite trivial subring. 
92e:16002 

Huylebrouck, D. Equivalence of von Neumann regular and idempotent matrices. 92¢:15016 

Li, Pai Fei see Chuang, Chéng Liang, 92b:16045 

Linnell, P. A. Zero divisors and group von Neumann algebras. 92e:22013 

Murty, C. V.L.N. see Reddy, Y. V., 92i:16036 

Nguyen, Hung T. see Goodman, Irwin R., 92k:06018 

Raggi Cardenas, Francisco Federico (with Rios Montes, José) On the lattice structure of 
torsion theories. 92c:16034 

Reddy, Y. V. (with Murty, C. V.L.N.) Regular IFP near-rings. 92i:16036 

Rios Montes, José see Raggi Cardenas, Francisco Federico, 92c:16034 

Wickstead, A. W. An intrinsic characterisation of self-injective semi-prime commutative 
rings. 92a:13007 

Yue Chi Ming, Roger Injectivity and annihilators. 92j:16003 

Zhang, Shun Hua 7-regular rings and TV -rings. (Chinese. English summary) 92b:16071 


16E60 Semihereditary and hereditary rings, free ideal rings, 
Sylvester rings, etc. 

Alajbegovié, Jusuf H. (with Dubrovin, N. I.) Noncommutative Priifer rings. 92b:16019 

Dubrovin, N. I. see Alajbegovié, Jusuf H., 92b:16019 


Gonchigdorzh, R. Hereditary and semihereditary rings without nilpotent elements. 
(Russian) 92m:16010 





277 1992 


Gromykhalina, E. E. (with Yakovlev, A. V.) Left semihereditary, left semiserial rings. 
(Russian. English summary) 92f:16007 

Guo, Yu? Relative hereditary rings. (Chinese summary) 

Wiedemann, Alfred On the structure of heredity sequences for some algebras. 92a:16016 

Yakovlev, A. V. see Gromykhalina, E. E., 92f:16007 


Items with secondary classifications in 16E60 

Agoston, Istvan (with Dean, Andrew P.) P-bases for torsion-free regular modules. 
92j:16001 

Boza Cordero, Juan Stably equivalent algebras with a tame hereditary algebra. (Spanish. 
English summary) (see 92e:00013) 

Crawley-Boevey, William Regular modules for tame hereditary algebras. 92b:16024 

Dean, Andrew P. see Agoston, Istvan, 92j:16001 

Guo, Jin Yun The structure of indecomposable modules of an algebra stably equivalent to a 
hereditary algebra. (Chinese) 92k:16006 

Hanna, Azmi Neue Charakterisierungen von Artinschen Moduln und hereditaren Ringen. 
[New characterizations of Artin modules and hereditary rings] 92b:16046 

Keller, Bernhard Algébres héréditaires par morceaux de type D,,. (English summary) 
[Piecewise hereditary algebras of type D,,] 92c:16014 

Mendes, D. Isabel da C. The smallest hereditary class containing the Jenkins radical class. 
(Portuguese. English summary) (see 92b:00044) 

Xiao, Jie! Projective modules of path algebras and their localizations. (Chinese) 92h:16011 

Yang, Tong Hai On the algebraic structure of group rings. (Chinese summary) 92b:16061 


16E70 Other rings of low global or flat dimension 
Farnsteiner, Rolf On the cohomology of ring extensions. 92c:16010 


Items with secondary classifications in 16E70 

Enochs, Edgar E. (with Jenda, Overtoun M. G.) Resolvents and dimensions of modules and 
rings. 92h:16006 

Jenda, Overtoun M. G. see Enochs, Edgar E., 92h:16006 


16E99 None of the above, but in this section 
Yue, Qin Homological properties of PS-rings. 


Items with secondary classifications in 16E99 

Fuchs, Laszl6' (with Monari Martinez, Elisabetta) Butler modules over valuation domains. 
924:13013 

Kanzaki, Teruo Totally real algebras. 92b:13007 

Li, Hui Shi Note on pure module theory over Zariskian filtered ring and the generalized 
Roos theorem. 924:16049 

Monari Martinez, Elisabetta see Fuchs, Laszl6', 92d:13013 

Pham Ngoc Anh Characterisation of two-sided PF-rings. 92i:16018 

Yamin, Mohammad Relative relation modules of finite groups. 92m:16043 


16Gxx Representation theory of rings and algebras 


Ringel, Claus Michael Recent advances in the representation theory of finite-dimensional 
algebras. 92i:16012 


Items with secondary classifications in 16Gxx 
Benson, David John * Representations and cohomology. I. 92m:20005 


16G10 Representations of Artinian rings 


Auslander, Maurice (with Reiten, Idun) Cohen-Macaulay and Gorenstein Artin algebras. 
92k:16018 

— (with Reiten, Idun) Applications of contravariantly finite subcategories. 92¢:16009 

— (with Platzeck, M. I.; Todorov, Gordana) Homological theory of idempotent ideals. 
92j:16008 

Bavula, V. V. Finite-dimensionality of Ext” and Tor, of simple modules over a class of 
algebras. (Russian) 92k:16019 

Bongartz, Klaus A geometric version of the Morita equivalence. 92f:16008 

Drixler, Peter Auslander-Reiten quivers of algebras whose indecomposable modules are 
bricks. 92j:16009 

Guo, Jin Yun Necessary and sufficient conditions for the indecomposable modules of a self- 
injective algebra to be determined by their composition factors. (Chinese) 92a:16017 

Hui, Chang Chang Die Vektorraumkategorie zu einem unzerlegbaren projektiven Modul 
einer tubularen Algebra. [The vector space category for an indecomposable projective 
module of a tubular algebra] 92c:16011 

— Die Vektorraumkategorie zu einem Punkt einer zahmen verkleideten Algebra. [The vector 
space category of a point of a tame concealed algebra] 92m:16011 

KGnig, Steffen Projective resolutions and quasi-heredity. 92m:16012 

Platzeck, M.1I. see Auslander, Maurice; et al., 92j:16008 

Reiten, Idun see Auslander, Maurice, 92e:16009 and 92k:16018 

Ringel, Claus Michael Hall polynomials for the representation-finite hereditary algebras. 
92e:16010 

Simson, Daniel Peak reductions and waist reflection functors. 92f:16009 

Strauss, Hubertus On the perpendicular category of a partial tilting module. 92m:16013 

Tachikawa, Hiroyuki (with Wakamatsu, Takayoshi) Cartan matrices and Grothendieck 
groups of stable categories. 92m:16014 

Todorov, Gordana see Auslander, Maurice; et al., 92j:16008 

Wakamatsu, Takayoshi see Tachikawa, Hiroyuki, 92m:16014 

Westreich, Sara On Sylvester rank functions. 92k:16020 


Items with secondary classifications in 16G10 


Crawley-Boevey, William Tame algebras and generic modules. 92m:16019 
Diab, Vlastimil (with Ringel, Claus Michael) Towers of semi-simple algebras. 92j:16013 


16G_ Representation theory of rings and algebras 


16G30 


Fuller, Kent R. (with Nicholson, W. K.; Watters, J. F.) Universally reflexive algebras. 
92g:16009 

— The Cartan determinant and global dimension of Artinian rings. 92m:16035 

Guo, Jin Yun The structure of indecomposable modules of an algebra stably equivalent to a 
hereditary algebra. (Chinese) 92k:16006 

Krause, Henning Maps between tree and band modules. 92j:16010 

Maliakas, Mihalis Resolutions, homological dimensions, and extensions of hook represen- 
tations. 92j:20044 

Nicholson, W. K. see Fuller, Kent R.; et al., 92g:16009 

Ringel, Claus Michael see Dlab, Viastimil, 92j:16013 

Watters, J. F. see Fuller, Kent R.; et al., 92g:16009 

Wenzl, Hans Quantum groups and subfactors of type B, C, and D. 92k:17032 

Zhang, Ying Bo The structure of stable components. 92f:16017 


16G20 Representations of quivers and partially ordered sets 


Assem, Ibrahim (with Nehring, Jerzy; Schewe, Wiebke) Fundamental domains and 
duplicated algebras. 92m:16015 

Bondarenko, V. M. see Nazarova, L. A.; et al., 92b:16020 

Brenner, Sheila Unfoldings of algebras. 92c:16012 

Cibils, Claude Rigid monomial algebras. 92a:16018 

Corwin, Stephen P. (with Green, Edward L.) Consistent diagonalization, representations, 
and lattices. 92c:16013 

Green, Edward L. see Corwin, Stephen P., 92c:16013 

Hui, Chang Chang Die Vektorraumkategorie zu einem unzerlegbaren projektiven Modul 
einer Algebra. [The category of vector spaces for an indecomposable projective module 
of an algebra] 92i:16013 

Keller, Bernhard Algébres héréditaires par morceaux de type D,,. (English summary) 
[Piecewise hereditary algebras of type D,,] 92c:16014 

Kerner, Otto Stable components of wild tilted algebras. 92k:16021 2 

Koike, Kazuhiko Relative invariants of the polynomial rings over type A,, A, quivers. 
92£:16010 

Krause, Henning Maps between tree and band modules. 92j:16010 

Leszezytiski, Zbigniew On the representation type of triangular matrix algebras over special 
algebras. 92i:16014 

Nazarova, L. A. (with Bondarenko, V. M.; Roiter, A. V.) Tame partially ordered sets with 
involution. (Russian) 92b:16020 

Nehring, Jerzy see Assem, Ibrahim; et al., 92m:16015 

Pogorzaly, Zygmunt On star-free bound quivers. 92f:16011 

— (with Skowronski, Andrzej) Self-injective biserial standard algebras. 92f:16012 

Riedtmann, Christine (with Schofield, Aidan) On a simplicial complex associated with 
tilting modules. 92a:16019 

Roiter, A. V. see Nazarova, L. A.; et al., 92b:16020 

Schewe, Wiebke see Assem, Ibrahim; et al., 92m:16015 

Schofield, Aidan Semi-invariants of quivers. 92g:16019 

— The field of definition of a real representation of a quiver Q. 92m:16016 

— see also Riedtmann, Christine, 92a:16019 

Simson, Daniel On the representation type of stratified posets. (French summary) 
92e:16011 

Skowronski, Andrzej see Pogorzaly, Zygmunt, 92f:16012 

Todorov, Gordana (with Zacharia, Dan) Remarks on Auslander algebras. 92h:16010 

Unger, Luise On the number of maximal sincere modules over sincere directed algebras. 
92b:16021 

Wiedemann, Alfred On quotients and heredity sequences of quasi-hereditary algebras. 
92m:16017 

Xiao, Jie! Projective modules of path algebras and their localizations. (Chinese) 92h:16011 

Zacharia, Dan see Todorov, Gordana, 92h:16010 


Items with secondary classifications in 16G20 

Babai, Laszl6 (with Goodman, Albert J.; Lovasz, Laszl6) Graphs with given automorphism 
group and few edge orbits. 92h:05066 

Bondal, A. I. Helices, representations of quivers and Koszul algebras. 92i:14016 

Draxler, Peter Auslander-Reiten quivers of algebras whose indecomposable modules are 
bricks. 92j:16009 

Dugas, Manfred (with Thomé, Bernhard) Countable Butler groups and vector spaces with 
four distinguished subspaces. 92d:20081 

Goodman, Albert J. see Babai, Laszl6; et al., 92h:05066 

Green, Edward L. (with Kirkman, Ellen; Kuzmanovich, James) Finitistic dimensions of 
finite-dimensional monomial algebras. 92a:16011 

Gromykhalina, E. E. (with Yakovlev, A. V.) Left semihereditary, left semiserial rings. 
(Russian. English summary) 92f:16007 

Gustafson, William H. Modules and matrices. 92d:15012 

Happel, Dieter A family of algebras with two simple modules and Fibonacci numbers. 
92m:16007 

Kirkman, Ellen see Green, Edward L.; et al., 92a:16011 

Kuzmanovich, James see Green, Edward L.; et al., 92a:16011 

Lovasz, Laszlé see Babai, Laszlo; et al., 92h:05066 

de la Peiia, José A. On the dimension of the module-varieties of tame and wild algebras. 
92i:16016 

— Functors preserving tameness. 92h:16013 

Simson, Daniel Peak reductions and waist reflection functors. 92f:16009 

Thomé, Bernhard see Dugas, Manfred, 92d:20081 

Wright, Mary H. Uniform modules over serial rings with Krull dimension. 92b:16005 

Yakovlev, A. V. see Gromykhalina, E. E., 92f:16007 


16G30 Representations of orders, lattices, algebras over 
commutative rings [see also 16H05] 


Chernova, L. F. see Drozd, Yu. A., 92b:16023 
Drozd, Yu. A. Finite modules over purely Noetherian algebras. (Russian) 92b:16022 





16G30 


— (with Chernova, L. F.) Lattices over Noetherian algebras. (Russian. Ukrainian summary) 
92b:16023 

Fujita, Hisaaki (with Nishida, Kenji) Tilting lattices over orders associated with simple 
modules. 92m:16018 

Haefner, Jeremy On local orders. 92f:16013 

Konig, Steffen Every order is the endomorphism ring of a projective module over a quasi- 
hereditary order. 92h:16012 

Levy, Lawrence S. Direct-sum cancellation of submodule systems. 92j:16011 

Nishida, Kenji see Fujita, Hisaaki, 92m:16018 


Items with secondary classifications in 16G30 

Auslander, Maurice (with Reiten, Idun) Cohen-Macaulay and Gorenstein Artin algebras. 
92k:16018 

Konig, Steffen Projective resolutions and quasi-heredity. 92m:16012 

Reiten, Idun see Auslander, Maurice, 92k:16018 

Wiedemann, Alfred Some orders of Auslander type > 2. 92a:16021 


16G50 Cohen-Macaulay modules 


Dieterich, Ernst Tame curve singularities with large conductor. 92i:16015 

Happel, Dieter On Gorenstein algebras. 92k:16022 

Popescu, Dorin (with Roczen, Marko) The second Brauer-Thrall conjecture for isolated 
singularities of excellent hypersurfaces. 92f:16014 

Roczen, Marko see Popescu, Dorin, 92f:16014 


Items with secondary classifications in 16G50 

Auslander, Maurice (with Reiten, Idun) Cohen-Macaulay and Gorenstein Artin algebras. 
92k:16018 

Reiten, Idun see Auslander, Maurice, 92k:16018 


16G60 Representation type (finite, tame, wild, etc.) 


Crawley-Boevey, William Regular modules for tame hereditary algebras. 92b:16024 

— Tame algebras and generic modules. 92m:16019 

Marmaridis, N. (with de la Pefia, José A.) Quadratic forms and preinjective modules. 
92b:16025 

de la Peiia, José A. The Weyl group of a wild graph. 92m:16020 

— On the dimension of the module-varieties of tame and wild algebras. 92i:16016 

— Functors preserving tameness. 92h:16013 

— see also Marmaridis, N., 92b:16025 

Prest, Mike Wild representation type and undecidability. 92g:16020 

Rickard, Jeremy The representation type of self-injective algebras. 92f:16015 


Items with secondary classifications in 16G60 

Assem, Ibrahim (with Nehring, Jerzy; Schewe, Wiebke) Fundamental domains and 
duplicated algebras. 92m:16015 

Bondarenko, V.M. see Nazarova, L. A.; et al., 92b:16020 

Dieterich, Ernst Tame curve singularities with large conductor. 92i:16015 

Gudivok, P.M. (with Oros, V. M.; Roiter, A. V.) Representations of finite groups over the 
ring of formal power series with integer p-adic coefficients. (Russian) 92h:20012 

Hui, Chang Chang Die Vektorraumkategorie zu einem unzerlegbaren projektiven Modul 
einer Algebra. [The category of vector spaces for an indecomposable projective module 
of an algebra] 92i:16013 

— Die Vektorraumkategorie zu einem Punkt einer zahmen verkleideten Algebra. [The vector 
space category of a point of a tame concealed algebra] 92m:16011 

Kerner, Otto (with Skowronski, Andrzej) On module categories with nilpotent infinite 
radical. 92b:16011 

— Stable components of wild tilted algebras. 92k:16021 

Leszczyiiski, Zbigniew On the representation type of triangular matrix algebras over special 
algebras. 92i:16014 

Nazarova, L. A. (with Bondarenko, V. M.; Roiter, A. V.) Tame partially ordered sets with 
involution. (Russian) 92b:16020 

Nehring, Jerzy see Assem, Ibrahim; et al., 92m:16015 

Oros, V.M. see Gudivok, P. M.; et al., 92h:20012 

de la Peta, José A. Sur les degrés de liberté des indécomposables. (English summary) [On 
the number of parameters of indecomposable modules] 92¢:16005 

Pogorzaly, Zygmunt (with Skowronski, Andrzej) Self-injective biserial standard algebras. 
92:16012 

Roiter, A. V. see Nazarova, L. A.; et al., 92b:16020 and Gudivok, P. M.; et al., 92h:20012 

Schewe, Wiebke see Assem, Ibrahim; et al., 92m:16015 

Skowrotiski, Andrzej see Kerner, Otto, 92b:16011 and Pogorzaly, Zygmunt, 92f:16012 

Strauss, Hubertus On the perpendicular category of a partial tilting module. 92m:16013 

Xiao, Jie! On indecomposable modules over a representation-finite trivial extension algebra. 
92¢:16033 


16G70 Auslander-Reiten sequences (almost split sequences) and 
Auslander-Reiten quivers 


Asashiba, Hideto The Auslander-Reiten quiver of a ring of right local type. 92b:16026 

Bautista Ramos, Raymundo (with Kleiner, Mark) Almost split sequences for relatively 
projective modules. 92f:16016 

— (with Salmer6n, L.) On nonstandard algebras and their representations. 92b:16027 

Bessenrodt, Christine Erdotrivial modules and the Auslander-Reiten quiver. 92d:16019 

— The Auslander-Reiten quiver of a modular group algebra revisited. 92e:16012 

Boza Cordero, Juan Stably equivalent algebras with a tame hereditary algebra. (Spanish. 
English summary) (see 92e:00013) 

Erdmann, Karin On Auslander-Reiten components for wild blocks. 92h:16014 

Garotta, Odile On Auslander-Reiten systems. (French summary) 92b:16028 

— A generalization of Webb’s theorem to Auslander-Reiten systems. 92b:16029 

Kleiner, Mark see Bautista Ramos, Raymundo, 92f:16016 


ASSOCIATIVE RINGS AND ALGEBRAS 


1992 278 


Martin, Stuart Periodic modules in the Auslander-Reiten quiver for some group algebras. 
92a:16020 

Merklen, Héctor A. Hereditary relatively injective subquivers and equivalence modulo 
preprojectives. 92c:16015 

Salmerén, L. see Bautista Ramos, Raymundo, 92b:16027 

Uno, Katsuhiro On the vertices of modules in the Auslander-Reiten quiver. 92m:16021 

Zhang, Ying Bo The structure of stable components. 92f:16017 

Zimmermann, Wolfgang Ausiander-Reiten sequences over derivation polynomial rings. 
92k:16023 


Items with secondary classifications in 16G70 

Arnold, David M. (with Laubenbacher, Reinhard C.) Almost split sequences for Dedekind- 
like rings. 92f:13020 

Auslander, Maurice (with Reiten, Idun) Cohen-Macaulay and Gorenstein Artin algebras. 
92k:16018 

Bessenrodt, Christine Modular representation theory for blocks with cyclic defect groups via 
the Auslander-Reiten quiver. 92h:20016 

Corwin, Stephen P. (with Green, Edward L.) Consistent diagonalization, representations, 
and lattices. 92¢:16013 

Crawley-Boevey, William Tame algebras and generic modules. 92m:16019 

Draxler, Peter Auslander-Reiten quivers of algebras whose indecomposable modules are 
bricks. 92j:16009 

Green, Edward L. see Corwin, Stephen P., 92c:16013 

Happel, Dieter On Gorenstein algebras. 92k:16022 

Hui, Chang Chang Die Vektorraumkategorie zu einem unzerlegbaren projektiven Modul 
einer Algebra. [The category of vector spaces for an indecomposable projective module 
of an algebra] 92i:16013 

Kerner, Otto Stable components of wild tilted algebras. 92k:16021 

Laubenbacher, Reinhard C. see Arnold, David M., 92f:13020 

Marmaridis, N. (with de la Pefia, José A.) Quadratic forms and preinjective modules. 
92b:16025 

de la Peiia, José A. (with Simson, Daniel) Prinjective modules, reflection functors, 
quadratic forms, and Auslander-Reiten sequences. 92e:16005 

— see also Marmaridis, N., 92b:16025 

Reiten, Idun see Auslander, Maurice, 92k:16018 

Simson, Daniel see de la Peiia, José A., 92e:16005 

Todorov, Gordana (with Zacharia, Dan) Remarks on Auslander algebras. 92h:16010 

Unger, Luise On the number of maximal sincere modules over sincere directed algebras. 
92b:16021 

Yoshino, Yuji * Cohen-Macaulay modules over Cohen-Macaulay rings. 92b:13016 

Zacharia, Dan see Todorov, Gordana, 92h:16010 


16G99 None of the above, but in this section 


Burkholder, Douglas G. Modules with local Pierce stalks. 92m:16022 
Lawrence, R. J. Homological representations of the Hecke algebra. 92d:16020 


Items with secondary classifications in 16G99 

Agoston, Istvan (with Dean, Andrew P.) P-bases for torsion-free regular modules. 
92j:16001 

Dean, Andrew P. see Agoston, Istvan, 92j:16001 

Du, Jie The Green correspondence for the representations of Hecke algebras of type A,_). 
92g:20021 

— The modular representation theory of q-Schur algebras. 92g:20022 

Kawada, Yutaka On minimal spanning sy over iperfect rings. 92k:16026 

Martinez-Villa, Roberto Properties that are left invariant under stable equivalence. 
92a:16002 


Robson, J.C. Recognition of matrix rings. 92f:16036 


Van der Jeugt, Joris An algorithm for characters of Hecke algebras H,,(q) of type A,-1. 
92i:05224 





16HO05 Orders and arithmetic, separable algebras, 
Azumaya algebras [see also 11R52, 11R54, 
11845, 13A20] 


Abbasi, G. Q. (with Kobayashi, Shigeru; Marubayashi, Hidetoshi; Ueda, Akira!) Noncom- 
mutative unique factorization rings. 92e:16013 

Brown, Kenneth A. (with Marubayashi, Hidetoshi; Smith, Patrick F.) Group rings which are 
v-HC orders and Krull orders. 92j:16012 

Choi, Soon-Man A note on separable algebras. 

Estes, Dennis R. Factorization in hereditary orders. 92h:16015 

Fujita, Hisaaki Erratum to: “Tiled orders of finite global dimension” [Trans. Amer. Math. 
Soc. 322 (1990), no. 1, 329-342; MR 91b:16016]. 

Grater, Joachim The “Defektsatz” for central simple algebras. 92f:16018 

Haghany, A. The canonical topology of FBN maximal orders. 92m:16023 

Ikehata, Shiichi see Okamoto, Hiroaki, 92d:16021 

Knus, Max-Albert (with Parimala, R.; Sridharan, Raman) Pfaffians, central simple algebras 
and similitudes. 92f:16019 

Kobayashi, Shigeru see Abbasi, G. Q.; et al., 92e:16013 

Lou, Xiao Long p-separability and separability in skew polynomial rings. (Chinese. English 
summary) 92k:16024 

Marki, Laszl6 see Pham Ngoc Anh, 92i:16017 

Marubayashi, Hidetoshi see Abbasi, G. Q.; et al., 92e:16013 and Brown, Kenneth A.; et al., 
92j:16012 

Morandi, Patrick J. An approximation theorem for Dubrovin valuation rings. 92g:16021 

Nikolopoulos, Christos (with Nikolopoulos, Panagiotis) Generalizations of the primitive 
element theorem. 92f:16020 

Nikolopoulos, Panagiotis see Nikolopoulos, Christos, 92f:16020 





279 1992 


Okamoto, Hiroaki (with Ikehata, Shdichi) On H-separable polynomials of degree 2. 
924:16021 

Parimala, R. see Knus, Max-Albert; et al., 92f:16019 

Pham Ngoc Anh (with Marki, Laszl6) Left orders in regular rings with minimum condition 
for principal one-sided ideals. 92i:16017 

Pierce, R.S. (with Vinsonhaler, C. 1.) Realizing subrings of rational division algebras. 
92g:16022 

Powers, Victoria Higher level orders on noncommutative rings. 92d:16022 

Smith, Patrick F. see Brown, Kenneth A.; et al., 92j:16012 

Sridharan, Raman see Knus, Max-Albert; et al., 92f:16019 

Szeto, George (with Wong, Yuen-Fat) On Azumaya projective group rings. 92m:16024 

Ueda, Akira’ see Abbasi, G. Q.; et al., 92e:16013 

Vinsonhaler, C. 1. see Pierce, R. S., 92g:16022 

Wiedemann, Alfred A construction of orders of finite global dimension. 92d:16023 

— Some orders of Auslander type > 2. 92a:16021 

Wong, Yuen-Fat see Szeto, George, 92m:16024 


Items with secondary classifications in 16H05 


Alajbegovi¢, Jusuf H. (with Dubrovin, N. I.) Noncommutative Priifer rings. 92b:16019 

Blanchet, Altha Function fields of generalized Brauer-Severi varieties. 92c:14052 

Brown, Kenneth A. (with Haghany, A.; Lenagan, T. H.) Reflexive ideals and injective 
modules over Noetherian v-H orders. 92¢:16022 

Caenepeel, S. Computing the Brauer-Long group of a Hopf algebra. I. The cohomological 
theory. 92f:16046 

Carboni, Aurelio Matrices, relations, and group representations. 92b:18007 

DeMeyer, Frank (with Greenfield, G. R.) The uniform group under change of rings. 
92b:13006 

Denert, Marleen Solomon’s second conjecture: a proof for local hereditary orders in central 
simple algebras. 92f:11169 

Deng, Xin De see Szeto, George, 92d:16045 

Dubrovin, N.I. see Alajbegovi¢, Jusuf H., 92b:16019 

Ford, Timothy J. On the Brauer group and quotient singularities. 92h:13004 

Fujita, Hisaaki (with Nishida, Kenji) Tilting lattices over orders associated with simple 
moduies. 92m:16018 

Greenfield, G. R. see DeMeyer, Frank, 92b:13006 

Haefner, Jeremy On local orders. 92f:16013 

Haghany, A. see Brown, Kenneth A.; et al., 92c:16022 

Hoechsmann, Klaus (with Ritter, Jiirgen) The Artin-Hasse power series and p-adic group 
rings. 92g:16038 

Joubert, S. V. (with Robson, J.C.) Asano orders and PG-sirs. 92g:16028 

Kitamura, Yoshimi Inheritance of FPF rings. 92c:16026 

Lenagan, T. H. see Brown, Kenneth A.; et al., 92c:16022 

Levy, Lawrence S. Direct-sum cancellation of submodule systems. 92j:16011 

Ma, Lin Jun see Szeto, George, 92e:16021 

Nelis, Peter (with Van Oystaeyen, Freddy) The projective Schur subgroup of the Brauer 
group and root groups of finite groups. 92b:13008 

Nishida, Kenji see Fujita, Hisaaki, 92m:16018 

Ritter, Jiirgen see Hoechsmann, Klaus, 92g:16038 

Robson, J.C. see Joubert, S. V., 92g:16028 

Szeto, George (with Ma, Lin Jun) On Galois projective group rings. 92e:16021 

— (with Deng, Xin De) Notes on central Galois algebras. 924:16045 

Van Oystaeyen, Freddy see Nelis, Peter, 92b:13008 

Yanchevskii, V. I. Reduced norms of simple algebras over function fields. (Russian) 
92a:11143 


16Kxx Division rings and semisimple Artin rings 
[see also 12E15, 15A39] 


Items with secondary classifications in 16Kxx 


Formanek, Edward * The polynomial identities and invariants of n x n matrices. 
92d:16031 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Formanek, Edward, 92d:16031 


16K20 Finite-dimensional {For Brauer group theory, see 12Gxx, 
13A20; for crossed products, see 16S35.} 


Brungs, H.-H. Valuations on rings and simple algebras. 92b:16030 

Diab, Viastimil (with Ringel, Claus Michael) Towers of semi-simple algebras. 92j:16013 

Lamont, P. J.C. Factorization and congruence in the arithmetics of Cayley’s algebra. 
92m:16025 

Mammone, Pasquale On the tensor product of division algebras. 92m:16026 

Plebariski, Jerzy F. (with Przanowski, Maciej) On the structure of associative algebras with 
conjugation. 92d:16024 

Przanowski, Maciej see Plebatiski, Jerzy F., 92d:16024 

Ringel, Claus Michael see Diab, Viastimil, 92j:16013 

Sethuraman, B. A. Indecomposable division algebras. 92f:16021 

Ulbrich, K.-H. Generalized crossed products and Azumaya algebras. 92a:16022 


Wei, Zong Xuan Conditions for a subdirectly irreducible ring to be a division ring. (Chinese. 


English summary) 


Items with secondary classifications in 16K20 

Denert, Marleen (with Tignol, Jean-Pierre; Van Geel, Jan; Vast, Nicole) The level of cyclic 
division algebras. 92a:12007 

Dicks, Warren (with Hartley, Brian) On homomorphisms between special linear groups 
over division rings. 92f:20048 

Futornyi, V.M. see Ustimenko, V. A., 92b:51009 


16L Local rings and generalizations 


Haile, Darrell On Clifford algebras and conjugate splittings. 92i:12005 

Hartley, Brian see Dicks, Warren, 92f:20048 

Idris, Ismail M. Unitary transformations modulo the group of multiplicative infinitesimals. 
(Arabic summary) 92j:15015 

Kang, Ming Chang Metacyclic algebras. 92h:12002 

Kursov, V. V. Cyclic crossed products of simple finite-dimensional central algebras. 
(Russian. English summary) 92¢:16022 

Morandi, Patrick J. An approximation theorem for Dubrovin valuation rings. 92g:16021 

Nikolopoulos, Christos (with Nikolopoulos, Panagiotis) Generalizations of the primitive 
element theorem. 92f:16020 

Nikolopoulos, Panagiotis see Nikolopoulos, Christos, 92f:16020 

Pierce, R.S. (with Vinsonhaler, C. I.) Realizing subrings of rational division algebras. 
92g:16022 

Rowen, Louis H. Wedderburn’s method and algebraic elements of simple Artinian rings. 
92k:16025 

Shimpuku, Taro * Symmetric algebras by direct product of Clifford algebra. 92j:15018 

Sladek, Andrzej Witt rings of division algebras over global fields. 92b:12005 

Szeto, George (with Wong, Yuen-Fat) On automorphisms of skew polynomials. 92b:16065 

Tignol, Jean-Pierre see Denert, Marleen; et al., 92a:12007 

Tomchin, I. L. (with Yanchevskii, V. I.) On the defect of valued skew-fields. (Russian) 
92:12005 

Trlifaj, Jan Constructions and homological properties of simple von Neumann regular 
rings. 92a:16015 

Ustimenko, V. A. (with Futornyi, V.M.) On Hecke algebras corresponding to Tits 
geometries. (Russian summary) 92b:51009 

Van Geel, Jan see Denert, Marleen; et al., 92a:12007 

Vast, Nicole see Denert, Marleen; et al., 92a:12007 

Vinsonhaler, C.1. see Pierce, R. S., 92g:16022 

Wene, G. P. On the multiplicative structure of finite division rings. 92b:12006 

Wong, Yuen-Fat see Szeto, George, 92b:16065 

Yanchevskii, V. 1. see Tomchin, I. L., 92f:12005 


16K40 Infinite-dimensional and general 


Chang, Jui Chi A direct sum of division rings with a special automorphism. 92h:16016 

Cohn, P.M. An embedding theorem for free associative algebras. 92g:16023 

Dauns, John Partially ordered *-division rings. 92e:16014 

Klein, Abraham A. (with Makar-Limanov, Leonid) Skew fields of differential operators. 
92f:16022 

Makar-Limanov, Leonid see Klein, Abraham A., 92f:16022 

Rowen, Louis H. Wedderburn’s method and algebraic elements of simple Artinian rings. 
92k:16025 

Tomanov, G. M. The structure of division algebras of index 2”. (Russian) 92e:16015 


Items with secondary classifications in 16K40 

Brungs, H.-H. Valuations on rings and simple algebras. 92b:16030 

Grater, Joachim The “Defektsatz” for central simple algebras. 92f:16018 

Krob, Daniel Some examples of formal series used in noncommutative algebra. 92k:16048 

Powers, Victoria Holomorphy rings and higher level orders on skew fields. 92b:11023 

Schofield, Aidan (with Van den Bergh, Michel) The index of a Brauer class on a Brauer- 
Severi variety. 92m:12003 

Van den Bergh, Michel see Schofield, Aidan, 92m:12003 


16K99 None of the above, but in this section 


Items with secondary classifications in 16K99 

Cirlincione, Leonardo (with Enea, Maria Rosaria) A generalization of the cross ratio over a 
ring. (Italian. English summary) 92g:51006 

Dauns, John Lattice ordered division rings exist. 92i:13020 

Enea, Maria Rosaria see Cirlincione, Leonardo, 92g:51006 

Fan, Fu Sheng Subdirectly irreducible completely left symmetric I’-rings. (Chinese. English 
summary) 92b:16008 

Jayaram, C. Strongly regular rings. 92b:16017 

Roux, Bernard Corps gauches locaux avec corps résiduel parfait de caractéristique p > 0. 
[Local skew fields with perfect residue field of characteristic p > 0] 92e:12002 

Silva Leite, Fatima (with Simées, Carlota; Vitéria, José) Hypercomplex numbers and 
rotations. (see 92g:00024) 

Simées, Carlota see Silva Leite, Fatima; et al., (92g:00024) 

Vitéria, José see Silva Leite, Fatima; et al., (92g:00024) 


16Lxx Local rings and generalizations 


16L30 Noncommutative local and semilocal rings, perfect rings 


Camillo, Victor P. (with Xue, Wei Min”) On quasi-perfect rings. 92g:16024 

— (with Xue, Wei Min?) Addendum: “On quasi-perfect rings” [Comm. Algebra 19 (1991), 
no. 10, 2841-2850; MR 92g:16024]. 

Kawada, Yutaka On minimal spanning systems over semiperfect rings. 92k:16026 

Miller, Bruno J. (with Singh, Surjeet) Uniform modules over serial rings. 92m:16027 

Singh, Surjeet see Miiller, Bruno J., 92m:16027 

Xue, Wei Min? Linearly compact modules over perfect rings. 92b:16031 

— see also Camillo, Victor P., 92g:16024 


Items with secondary classifications in 16L30 

Abulkheir, Hamed E. (with Birkenmeier, Gary F.; Bourque, Anthony K.; Lee, Enoch K.) 
Localization with central units. 92f:16037a 

— (with Birkenmeier, Gary F.; Bourque, Anthony K.; Lee, Enoch K.) Corrigenda: 
“Localization with central units”. 92f:16037b 





16L30 


Birkenmeier, Gary F. see Abulkheir, Hamed E.; et al., 92f:16037a and 92£:16037b 

Bourque, Anthony K. see Abulkheir, Hamed E.; et al., 92f:16037a and 92£:16037b 

Brungs, H.-H. Valuations on rings and simple algebras. 92b:16030 

Herzer, Armin Charakterisierung von Kettengeometrien iiber semilokalen Algebren. (En- 
glish summary) [Characterization of chain geometries over semilocal rings] 92h:51004 

Jain, Surender Kumar (with Lépez-Permouth, Sergio R.; Rizvi, S. Tariq) A characterization 
of uniserial rings via continuous and discrete modules. 92b:16032 

Lee, Enoch K. see Abulkheir, Hamed E.; et al., 92f:16037a and 92£:16037b 

Lépez-Permouth, Sergio R. see Jain, Surender Kumar; et al., 92b:16032 

Powers, Victoria Holomorphy rings and higher level orders on skew fields. 92b:11023 

Rincén-Mejia, Hugo Alberto On the lattice R-tors for semiperfect and QF rings. 92g:16048 

Rizvi, S. Tariq see Jain, Surender Kumar; et al., 92b:16032 

Snider, Robert L. Noncommutative regular local rings of dimension 3. II. 92k:16015 


16L60 Quasi-Frobenius rings [see also 16D50] 


Gémez Torrecillas, José Techniques for the study of nonsingular modules. (Spanish. English 
summary) (see 92b:00044) 

Habeb, Jebrel M. A note on zero commutative and duo rings. 92d:16025 

Le Van Thuyet see Phan Dan, 92m:16028 

Makino, Ryohei QF-1 algebras with faithful direct sums of uniserial modules. 92a:16023 

Oshiro, Kiyoichi On Harada rings. III. 92k:16027 

Pham Ngoc Anh Characterisation of two-sided PF-rings. 92i:16018 

Phan Dan (with Le Van Thuyet) Some results on QF-n rings (nm = 2,3). 92m:16028 

Yoshimura, Hiroshi On finitely pseudo-Frobenius rings. 92i:16019 


Items with secondary classifications in 16L60 

Camillo, Victor P. (with Yousif, Mohamed F.) Continuous rings with ACC on annihilators. 
92i:16006 

Faith, Carl (with Pillay, Poobhalan) * Classification of commutative FPF rings. 92k:13012 

Jain, Surender Kumar (with Lopez-Permouth, Sergio R.; Rizvi, S. Tariq) A characterization 
of uniserial rings via continuous and discrete modules. 92b:16032 

Lépez-Permouth, Sergio R. see Jain, Surender Kumar, et al., 92b:16032 

Martinez-Villa, Roberto The stable group of a self-injective Nakayama algebra. 92b:16014 

Pillay, Poobhalan see Faith, Carl, 92k:13012 

Rincén-Mejia, Hugo Alberto On the lattice R-tors for semiperfect and QF rings. 92g:16048 

Rizvi, S. Tariq see Jain, Surender Kumar; et al., 92b:16032 

Yousif, Mohamed F. see Camillo, Victor P., 92i:16006 


16L99 None of the above, but in this section 


Jain, Surender Kumar (with Lopez-Permouth, Sergio R.; Rizvi, S. Tariq) A characterization 
of uniserial rings via continuous and discrete modules. 92b:16032 

Lépez-Permouth, Sergio R. see Jain, Surender Kumar; et al., 92b:16032 

Rizvi, S. Tariq see Jain, Surender Kumar; et al., 92b:16032 


Items with secondary classifications in 16L99 
Burkholder, Douglas G. Modules with local Pierce stalks. 92m:16022 


16Nxx Radicals and radical properties of rings 


16N20 Jacobson radical, quasimultiplication 


Chen, Miao Sen Characterization of the Jacobson conjecture on right serial rings. (Chinese. 
English summary) 92b:16033 

Harte, Robin On quasinilpotents in rings. 92a:16024 

Kelarev, A. V. The structure of the Jacobson radical of semigroup algebras of commutative 
semigroups. (Russian) 92c:16016 

— The structure of radicals in algebras that are graded by semigroups. (Russian) 92b:16034 


Items with secondary classifications in 16N20 

Jespers, Eric (with Puczylowski, Edmund R.) On ideals of tensor products. 92k:16002 

Menini, Claudia (with Nastasescu, Constantin) gr-simple modules and gr-Jacobson radical 
applications. I. 92b:16083 

— (with Nastasescu, Constantin) gr-simple modules and gr-Jacobson radical applications. 
Il. 92b:16084 

Nastasescu, Constantin see Menini, Claudia, 92b:16083 and 92b:16084 

Puczylowski, Edmund R. see Jespers, Eric, 92k:16002 

Wang, Ding Guo Graded module left ideals and graded Jacobson radicals. (Chinese. English 
summary) 

van Wyk, Leon The 2-primitive ideals of structural matrix near-rings. 92f:16060 


16N40 Nil and nilpotent radicals, sets, ideals, rings 


Beattie, M. A. (with Liu, Shao Xue; Stewart, Patrick) Comparing graded versions of the 
prime radical. 92k:16028 

Beidar, K.I. (with Trokanova-Salavova, K.) On nil rings satisfying minimum condition on 
principal right ideals. 92c:16017 

Booth, G. L. I-rings and Kéthe’s problem. 92e:16016 

Chen, Wei Xin On the order chain and nilpotency for associative rings. 92f:16023 

Chen, Wei Xing see Pan, Wan Fu; et al. 

Chen, Xiao Song P-supernilpotent radicals. (Chinese. English summary) 

DaSi¢, Vuti¢é The Levitzki radical in n-ary near-algebras. (Serbo-Croatian summary) 
92¢:16018 

Ge, Zu Jin Some results on the Kegel conjecture. (Chinese. English summary) 92g:16025 

Kelarev, A. V. Radical classes and band sums of associative algebras. (Russian) 92d:16026 

Liu, Shao Xue see Beattie, M. A.; et al., 92k:16028 

Misso, Paola On Lie properties of a ring. (Italian summary) 92e:16017 


ASSOCIATIVE RINGS AND ALGEBRAS 


1992 280 


Pan, Wan Fu (with Zhao, Yu Min; Chen, Wei Xing) The nil and (locally) nilpotent 
properties of an algebra. (Chinese. English summary) 

Qiu, Qi Zhang Prime rings with a finite number of nilpotent and idempotent elements. 
(Chinese. English summary) 92j:16014 

Stewart, Patrick see Beattie, M. A.; et al., 92k:16028 

Trokanova-Salavova, K. see Beidar, K. I., 92c:16017 

Wang, Xian Chang Conditions for a locally nilpotent radical to contain the one-sided nil 
ideals. (Chinese. English summary) 92k:16029 

Zhao, Yu Min see Pan, Wan Fu; et al. 

Zhu, Bin Supernil radicals. (Chinese. English summary) 


Items with secondary classifications in 16N40 

Benini, A. (with Pellegrini Manara, Silvia) Near-rings with left and right self-distributive 
multiplication. 92a:16050 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Engel elements in the 
homotopy Lie algebra. 92m:55014 

Halperin, Stephen see Félix, Yves; et al., 92m:55014 

Heyman, G. A. P. On almost nilpotent rings and ideals. 92g:16027 

Jespers, Eric Special principal ideal rings and absolute subretracts. 92h:13017 

Kelarev, A. V. The structure of radicals in algebras that are graded by semigroups. (Russian) 
92b:16034 

Kostrikin, Aleksei Ivanovich see Zel/manov, E. I., 92h:17007 

Mazurek, R. Distributive rings with Goldie dimension one. 92d:16030 

Misso, Paola A note on strongly Lie nilpotency. 92g:16053 

Miller, Bruno J. (with Singh, Surjeet) Uniform modules over serial rings. I]. 92d:16013 

Pellegrini Manara, Silvia see Benini, A., 92a:16050 

Sharma, Rajendra Kumar (with Srivastava, J. B.) On solvable Lie ideals of a ring. 
92:16042 

Singh, Surjeet see Miiller, Bruno J., 92d:16013 

Srivastava, J. B. see Sharma, Rajendra Kumar, 92f:16042 

Thomas, Jean-Claude see Félix, Yves; et al., 92m:55014 

Veldsman, Stefan An overnilpotent radical theory for near-rings. 92j:16027 

Vonessen, N. Prime ideals in intermediate integral centralizing extensions of PI-rings. 
92b:16036 

Zel'manov, E. 1. (with Kostrikin, Aleksei Ivanovich) A theorem on sandwich algebras. 
(Russian) 92h:17007 


16N60 Prime and semiprime rings [see also 16D30, 16D60, 
16U10] 


Bresar, Matej A note on derivations. 92g:16026 

Brown, Kenneth A. (with Wehrfritz, B. A. F.) Goldie criteria for some semiprime rings. 
92j:16015 

Gardner, B. J. Prime rings for which the set of nonzero ideals is a special class. 92i:16020 

— (with Stewart, Patrick) Prime essential rings. 92m:16029 

Giotopoulos, S. (with Katseli, N.) Modular annihilator algebras. 92m:16030 

Heyman, G. A. P. On almost nilpotent rings and ideals. 92g:16027 

Horvath, Erzsébet (with Puczytowski, Edmund R.) Some remarks on simple rings. (Italian 
summary) 92b:16035 ¥ 

Joubert, S. V. (with Robson, J.C.) Asano orders and PG-sirs. 92g:16028 

Katseli, N. see Giotopoulos, S., 92m:16030 

Lawrence, John W. The Jacobson radical of tensor products. 92f:16024 

Martindale, Wallace S., III (with Miers, C. Robert) Nilpotent inner derivations of the skew 
elements of prime rings with involution. 92k:16030 

Miers, C. Robert see Martindale, Wallace S., III, 92k:16030 

Mikhalév, A. V. Extension of multiplicative isomorphisms of semiprime rings to their 
orthogonal completions. (Russian) 92c:16019 

Puczytowski, Edmund R. see Horvath, Erzsébet, 92b:16035 

Robson, J.C. see Joubert, S. V., 92g:16028 

Smyth, M.R. F. Splitting atoms in semiprime rings. 92a:16025 

Stewart, Patrick see Gardner, B. J., 92m:16029 

Vonessen, N. Prime ideals in intermediate integral centralizing extensions of PI-rings. 
92b:16036 

Wehrfritz, B. A. F. see Brown, Kenneth A., 92j:16015 

Zalar, Borut On centralizers of semiprime rings. 92m:16031 


Items with secondary classifications in 16N60 


Aburawash, Usama A. Semiprime involution rings and chain conditions. 92m:16055 

Alajbegovi¢é, Jusuf H. (with Dubrovin, N. I.) Noncommutative Priifer rings. 92b:16019 

Bell, Howard E. see Daif, Mohamad Nagy 

Booth, G. L. (with Groenewald, N. J.) On primeness in matrix near-rings. 92¢:16034 

BreSar, Matej Jordan mappings of semiprime rings. II. 92j:16024 

Brown, Kenneth A. (with Haghany, A.; Lenagan, T. H.) Reflexive ideals and injective 
modules over Noetherian v-H orders. 92¢:16022 

Castella, D. Compressibilité des anneaux de groupes gauches et des anneaux de points fixes. 
[Compressibility of skew group rings and fixed-point rings] 92f:16035 

Chen, Jian Long see Zhang, Ju Le; et al. 

Chuang, Chéng Liang (with Li, Ch’iu K’un) Invariance of minimal prime ideals under 
derivations. 92b:16076 

Daif, Mohamad Nagy (with Bell, Howard E.) Remarks on derivations on semiprime rings. 

Dubrovin, N. I. see Alajbegovi¢, Jusuf H., 92b:16019 

Groenewald, N. J. (with Olivier, W. A.) A generalization of semi prime ideals in I-rings. 
92m:16072 

— see also Booth, G. L., 92e:16034 

Haghany, A. see Brown, Kenneth A.; et al., 92c:16022 

Kaya, Arif One sided ideals of strongly prime type in regular rings and injectivity. (Turkish 
summary) 92b:16018 

Kelarev, A. V. The structure of radicals in algebras that are graded by semigroups. (Russian) 
92b:16034 





281 1992 





Lanski, Charles Differentia! identities of prime rings, Kharchenko’s th , and 
applications. 92k:16050 

Lenagan, T. H. see Brown, Kenneth A.; et al., 92c:16022 

Li, Ch’iu K’un Powers of skew and symmetric elements under a derivation. 92b:16052 

— see also Chuang, Chéng Liang, 92b:16076 

Liu, Shao Xue Two results on smash products. 92m:16046 

Mikhovski, S. V. Central algebraic elements of strongly group-graded rings. 92b:16085 

Olivier, W. A. see Groenewald, N. J., 92m:16072 

Qiu, Qi Zhang Prime rings with a finite number of nilpotent and idempotent elements. 
(Chinese. English summary) 92j:16014 

Trendafilov, I. D. Rings with nil derivations. (Bulgarian summary) 92b:16077 

Veldsman, Stefan An overnilpotent radical theory for near-rings. 92j:16027 

Wei, Zong Xuan A theorem for finding derivations of prime rings. (Chinese. English 
summary) 92a:16043 

Yenigiil, M. Serif On commutativity of prime rings with (c, t)-derivations. 92e:16026 

Zhang, Ju Le (with Chen, Jian Long) p-injective rings and semiprime rings. (Chinese. 
English summary) 

Zhang, Yang? Semiderivations and commutativity in prime rings. (Chinese. English 
summary) 

— Derivations in a prime I-ring. (Chinese summary) 92i:16030 


16N80 General radicals and rings {For radicals in module 
categories, see 16S90.} 


Aburawash, Usama A. Characterizations of semisimple classes by means of ring elements. 
92m:16032 

Buys, A. (with Heidema, Johannes) Regularities and subdirect products of rings. 92f:16025 

Cai, Chuan Ren A characteristic property of semihereditary radicals. (Chinese. English 
summary) 92b:16037 

Fleischer, Isidore A lattice-theoretic look at some ring theoretical radicals. 92f:16026 

Hao, Cheng Gong A theorem on subidempotent radicals. 92e:16018 

— The upper radicals determined by rings with various “regularity” properties. 92d:16027 

Heidema, Johannes see Buys, A., 92f:16025 

Huang, Jun Min The &;-Levitzki radical. (Chinese. English summary) 92a:16026 

Jespers, Eric (with Puczytowski, Edmund R.) The Jacobson and Brown-McCoy radicals of 
rings graded by free groups. 92b:16038 

Kelarev, A. V. Hereditary radicals and bands of associative rings. 92k:16031 

Liu, Gui Long A generalization of the hereditary property and strong semisimplicity. 
(Chinese. English summary) 92d4:16028 

— Radical pairs and supplementing radicals of some regular radicals. (Chinese. English 
summary) 

Majumdar, Subrata (with Paul, Akhil Chandra) Radicals similar to a radical pair. 
92a:16027 

McCrimmon, Kevin Martindale systems of symmetric quotients. 92b:16039 

Mendes, D. Isabel da C. The smallest hereditary class containing the Jenkins radical class. 
(Portuguese. English summary) (see 92b:00044) 

Morimoto, Shoji On some type of left exact radicals. 92f:16027 

— (with Shigenaga, Kazuo) On the generalized t-full modules. II. 92g:16029 

Paul, Akhil Chandra see Majumdar, Subrata, 92a:16027 

Puczylowski, Edmund R. see Jespers, Eric, 92b:16038 

Shigenaga, Kazuo see Morimoto, Shoji, 92g:16029 

Sidorov, Aleksandr Vasil’evich Radicals of H-module algebras. (Russian) 92b:16040 

Wang, Fu Qing Hereditariness of G-ideals. (Chinese. English summary) 92e:16019 

Wang, Yao o-radicals of associative rings. (Chinese. English summary) 92b:16041 

— Radicals determined by almost strongly nilpotent I’-rings. (Chinese. English summary) 

Xi, Ou Gen The quasi-P-radicals of I’-rings and generalized I’-rings are Amitsur-Kurosh 
radicals. (Chinese. English summary) 92b:16042 

Xue, Wei Min? MHR-modules and a problem of Szasz. (Chinese. English summary) 

Zhou, Shi Fan Structure of inner isomorphic and inner nonisomorphic rings. (Chinese 
summary) 92h:16017 


Items with secondary classifications in 16N80 


Booth, G. L. Notes on Brown-McCoy-radicals for I’-near-rings. 92m:16068 

— (with Groenewald, N. J.; Olivier, W. A.) A general type of regularity for I’-rings. 
92m:16071 

Bunu, I. D. (with Goyan, I. M.; Tébyrtsé, E. 1.) Primal ideals and pretorsions. (Russian) 
92k:16046 

Chen, Wei Xin (with Zhang, Shou Chuan) The general theory of I’-rings and the Baer 
radical. (Chinese. English summary) 

Cuenca Mira, José Antonio (with Garcia Martin, Amable; Martin Gonzalez, Candido) On 
the .Y-radical of an associative pair and a Wedderburn-type theorem for associative triple 
systems. (Spanish. English summary) (see 92b:00044) 

Garcia Martin, Amable see Cuenca Mira, José Antonio; et al., (92b:00044) 

Gardner, B. J. Prime rings for which the set of nonzero ideals is a special class. 92i:16020 

Gémez Torrecillas, José Techniques for the study of nonsingular modules. (Spanish. English 
summary) (see 92b:00044) 

Goyan, I. M. see Bunu, I. D.; et al., 92k:16046 

Groenewald, N. J. see Booth, G. L.; et al., 92m:16071 

Martin Gonzalez, Candido see Cuenca Mira, José Antonio; et al., (92b:00044) 

McConnell, N. R. Radical ideals of Dedekind domains and their extensions. 92f:13002 

Olivier, W. A. see Booth, G. L.; et al., 92m:16071 

Srinivas, T. A note on the radicals in a normed near-algebra. 924:46132 

Tebyrtsé, E. 1. see Bunu, I. D.; et al., 92k:16046 

Veldsman, Stefan An overnilpotent radical theory for near-rings. 92j:16027 

Yu, Yao Ming Graded locally nilpotent radicals of graded rings. (Chinese. English 
summary) 

Zhang, Shou Chuan see Chen, Wei Xin; et al. 


16P Chain conditions, growth conditions, and other forms of finiteness 


16N99 None of the above, but in this section 


Huang, Jun Min 2-pseudo-Hamiltonian algebras. (Chinese. English summary) 92m:16033 
Kelarev, A. V. Radicals and sheaves of associative algebras. (Russian) 92j:16016 


Items with secondary classifications in 16N99 

Al-Khazzi, Ibrahim (with Smith, Patrick F.) Modules with chain conditions on superfluous 
submodules. 92h:16004 

Andrunakievich, V. A. (with Ryabukhin, Yu. M.) Ideals relative to a right ideal P, and C- 
identities for C = R/P. (Russian) 92c:16006 

Ara, Pere (with Park, Jae Keol) On continuous semiprimary rings. 92g:16006 

Ced6, Ferran Zip rings and Mal’cev domains. 92g:16007 

Faith, Carl Annihilator ideals, associated primes and Kasch-McCoy commutative rings. 
92g:16008 

Fang, Hong Jin (with Stewart, Patrick) Radical theory for graded rings. 92k:16055 

Park, Jae Keol see Ara, Pere, 92g:16006 

Ryabukhin, Yu. M. see Andrunakievich, V. A., 92c:16006 

Smith, Patrick F. see Al-Khazzi, Ibrahim, 92h:16004 

Stewart, Patrick see Fang, Hong Jin, 92k:16055 


16Pxx Chain conditions, growth conditions, and other 
forms of finiteness 


16P10 Finite rings and finite-dimensional algebras {For 
semisimple, see 16K20; for commutative, see 11Txx, 
13Mxx.} 


Al-Khamees, Yousif Finite almost chain rings. 92h:16018 

— The determination of the group of automorphisms of a finite chain ring of characteristic 
p. 92k:16032 

Belzner, Th. (with Burgess, W. D.; Fuller, Kent R.; Schulz, Rainer) Examples of ungradable 
algebras. 92c:16020 

Burgess, W. D. see Belzner, Th.; et al., 92c:16020 

Chlebowitz, M. (with Kiilshammer, Burkhard) Symmetric local algebras with 5- 
dimensional center. 92e:16020 

(Choi, Man Duen) see Yoshino, Takashi, 92f:16028 

Fuller, Kent R. see Belzner, Th.; et al., 92c:16020 

Kiilshammer, Burkhard see Chiebowitz, M., 92¢:16020 

(Radjavi, Heydar) see Yoshino, Takashi, 92f:16028 

Rickard, Jeremy Derived equivalences as derived functors. 92b:16043 

(Rosenthal, Peter M.) see Yoshino, Takashi, 92f:16028 

Schulz, Rainer see Belzner, Th.; et al., 92c:16020 

Shirayanagi, Kiyoshi A classification of finite-dimensional monomial algebras. 92b:16044 

Yoshino, Takashi Supplemental examples: “On complementary matrix algebras” [Integral 
Equations Operator Theory 13 (1990), no. 2, 165-174; MR 91k:47011] by M. D. Choi, H. 
Radjavi and P. Rosenthal. 92f:16028 

Zhao, Si Yuan The smallest finite noncommutative ring. (Chinese. English summary) 


Items with secondary classifications in 16P10 

Al-Khamees, Yousif The group of automorphisms of finite chain rings. (Arabic summary) 
92a:16039 

Barker, George Phillip (with Kezlan, Thomas P.) Automorphisms of algebras of upper 
triangular matrices. 92d:16043 

Dana-Picard, Thierry 7-dimensional algebras with mixed basis-graph. 92m:16049 

Guo, Jin Yun Necessary and sufficient conditions for the indecomposable modules of a self- 
injective algebra to be determined by their composition factors. (Chinese) 92a:16017 

Hirano, Yasuyuki On extensions of rings with finite additive index. 92f:16044 

Kezlan, Thomas P. see Barker, George Phillip, 92d:16043 


16P20 Artinian rings and modules 


Chuang, Chéng Liang (with Li, Pai Fei) On regular subdirect products of simple Artinian 
rings. 92b:16045 

Dinh Van Huynh (with Phan Dan) On serial Noetherian rings. 92g:16030 

Fuller, Kent R. (with Zimmermann-Huisgen, Birge) Filtered Cartan matrices for Artinian 
rings of low Loewy length. 92m:16034 

— The Cartan determinant and global dimension of Artinian rings. 92m:16035 

Han, Juncheol Involutions in left Artinian rings. 92c:16021- 

Hanna, Azmi Neue Charakterisierungen von Artinschen Moduln und hereditaren Ringen. 
[New characterizations of Artin modules and hereditary rings] 92b:16046 

Harada, Manabu Characterizations of right Nakayama rings. 92m:16036 

Hodges, Timothy J. (with Kim, Kyunghee; Resco, Richard) Behaviour of Krull dimension 
under extension of the base field. 92d:16029 

Kim, Kyunghee see Hodges, Timothy J.; et al., 92d:16029 

Li, Pai Fei see Chuang, Chéng Liang, 92b:16045 

Phan Dan see Dinh Van Huynh, 92g:16030 

Resco, Richard see Hodges, Timothy J.; et al., 92d:16029 

Zi mann-Huisgen, Birge see Fuller, Kent R., 92m:16034 





Items with secondary classifications in 16P20 


Aburawash, Usama A. Semiprime involution rings and chain conditions. 92m:16055 

Camps, Rosa (with Menal, Pere) Power cancellation for Artinian modules. 92m:16006 

Dinh Van Huynh (with Smith, Patrick F.) Some rings characterised by their modules. 
92b:16007 

— (with Nguyén Viét Ding”; Wisbauer, Robert) On modules with finite uniform and Krull 
dimension. 92g:16001 

Elduque, Alberto (with Montaner, Fernando) On mutations of associative algebras. 
92e:17049 





16P20 


Loos, Ottmar On semiperfect Jordan pairs. 92e:17045 

Menal, Pere see Camps, Rosa, 92m:16006 

Montaner, Fernando see Elduque, Alberto, 92e:17049 

Nguyén Viét Ding” see Dinh Van Huynh; et al., 92g:16001 

Oshiro, Kiyoichi On Harada rings. III. 92k:16027 

Osofsky, Barbara L. Chain conditions on essential submodules. 92¢:16024 

de la Peta, José A. (with Simson, Daniel) Prinjective modules, reflection functors, 
quadratic forms, and Auslander-Reiten sequences. 92¢:16005 

Simson, Daniel see de la Peiia, José A., 92e:16005 

Smith, Patrick F. see Dinh Van Huynh, 92b:16007 

Wisbauer, Robert see Dinh Van Huynh; et al., 92g:16001 

Zhang, Ju Le p-injectivity and Artinian semisimple rings. (Chinese summary) 92i:16008 


16P40 Noetherian rings and modules 


Brown, Kenneth A. (with Haghany, A.; Lenagan, T. H.) Reflexive ideals and injective 
modules over Noetherian v-H orders. 92c:16022 

Faith, Carl (with Menal, Pere) A counter example to a conjecture of Johns. 92k:16033 

Gateva-Ivanova, Tatiana On the Noetherianity of some associative finitely presented 
algebras. 92g:16031 

Haghany, A. see Brown, Kenneth A.; et al., 92c:16022 

Lenagan, T. H. (with Warfield, Robert B., Jr.) Affiliated series and extensions of modules. 
92m:16037 

— see also Brown, Kenneth A.; et al., 92c:16022 

Loustaunau, Philippe (with Shapiro, Jay) Localization in a Morita context with applications 
to fixed rings. 92k:16034 

Menal, Pere see Faith, Carl, 92k:16033 

Shapiro, Jay see Loustaunau, Philippe, 92k:16034 

Warfield, Robert B., Jr. Noetherian ring extensions with trace conditions. 92g:16032 

— see also Lenagan, T. H., 92m:16037 


Items with secondary classifications in 16P40 

Brewer, James W. (with Klingler, Lee) On the pole-shifting problem for noncommutative 
rings. 92m:16053 

Brown, Kenneth A. On the representation theory of solvable Lie algebras. II. The abelian 
group attached to a prime ideal. 92g:17010 

Bueso, J. L. (with Segura, M. 1.; Verschoren, A.) Strong stability and sheaves. 92g:16047 

Chernova, L. F. see Drozd, Yu. A., 92b:16023 

Dinh Van Huynh (with Smith, Patrick F.) Some rings characterised by their modules. 
92b:16007 

— (with Phan Dan) On serial Noetherian rings. 92g:16030 

Drozd, Yu. A. (with Chernova, L. F.) Lattices over Noetherian algebras. (Russian. 
Ukrainian summary) 92b:16023 

Gateva-Ivanova, Tatiana Noetherian properties and growth of some associative algebras. 
92¢:16025 

Hodges, Timothy J. (with Kim, Kyunghee; Resco, Richard) Behaviour of Krull dimension 
under extension of the base field. 92d:16029 

Kim, Kyunghee see Hodges, Timothy J.; et al., 92d:16029 

Klingler, Lee see Brewer, James W., 92m:16053 

Kurdachenko, L. A. (with Tushev, A. V.; Zaitsev, D. I.) Noetherian modules over nilpotent 
groups of finite rank. 92b:20036 

Lee, Sang Cheol Finitely generated modules. 92g:13023 

Leroy, André (with Matczuk, Jerzy) Prime ideals of Ore extensions. 92h:16029 

Loustaunau, Philippe (with Shapiro, Jay) Morita contexts. 92b:16012 

Matczuk, Jerzy see Leroy, André, 92h:16029 

Miller, Bruno J. (with Zhang, Ying Lan) Ore localization in the first Weyl algebra. 
92b:16069 

Osofsky, Barbara L. Chain conditions on essential submodules. 92c:16024 

Phan Dan see Dinh Van Huynh, 92g:16030 

Resco, Richard see Hodges, Timothy J.; et al., 92d:16029 

Segura, M.I. see Bueso, J. L.; et al., 92g:16047 

Shapiro, Jay see Loustaunau, Philippe, 92b:16012 

Smith, Patrick F. see Dinh Van Huynh, 92b:16007 

Snider, Robert L. Noncommutative regular local rings of dimension 3. II. 92k:16015 

Tuganbaev, A. A. Rings with poorly injective factor rings. (Russian) 92m:16005 

Tushev, A. V. see Kurdachenko, L. A.; et al., 92b:20036 

Verschoren, A. see Bueso, J. L.; et al., 92g:16047 

Zaitsev, D. I. see Kurdachenko, L. A.; et al., 92b:20036 

Zhang, Ying Lan see Miller, Bruno J., 92b:16069 


16P50 Localization and Noetherian rings [see also 16U20] 

Naveena Chandran, K. P. Localisation in generalised unique factorisation rings. (see 
92m:00056) 

Teply, Mark L. Links, Ore sets, and classical localizations. 92h:16019 


Wisbauer, Robert A technique for localizations of modules over algebras. (Russian) 
92i:16021 


Items with secondary classifications in 16P50 

Brewer, James W. (with Klingler, Lee) On the pole-shifting problem for noncommutative 
rings. 92m:16053 

Faith, Carl (with Menal, Pere) A counter example to a conjecture of Johns. 92k:16033 

Klingler, Lee see Brewer, James W., 92m:16053 

Menal, Pere see Faith, Carl, 92k:16033 


Rosenberg, Alexander L. The left spectrum, the Levitzki radical, and noncommutative 
schemes. 92d:14001 


Teply, Mark L. (with Torrecillas Jover, Blas) Primitive ideals of nice Ore localizations. 
92b:16070 


Torrecillas Jover, Blas see Teply, Mark L., 92b:16070 


ASSOCIATIVE RINGS AND ALGEBRAS 


1992 282 


Wright, Mary H. Links between prime ideals of a serial ring with Krull dimension. 
92b:16047 


16P60 Chain conditions on annihilators and summands: Goldie 
type conditions [see also 16U20], Krull dimension 


Chowdhury, K.C. Goldie M-groups. 92i:16022 

Ho, Yue-chan P. The preservation of the semiprime Goldie property by strong semilattice 
sums. 92f:16029 

Mazurek, R. Distributive rings with Goldie dimension one. 924:16030 

Wright, Mary H. Links between prime ideals of a serial ring with Krull dimension. 
92b:16047 

Yang, Shaochen Delta-modules and their quasi-injective hulls. 92b:16048 

Yue Chi Ming, Roger A note on classical quotient rings. 92g:16033 


Items with secondary classifications in 16P60 

Abbasi, G.Q. (with Kobayashi, Shigeru; Marubayashi, Hidetoshi; Ueda, Akira!) Noncom- 
mutative unique factorization rings. 92e:16013 

Alajbegovi¢, Jusuf H. (with Dubrovin, N. 1.) Noncommutative Priifer rings. 92b:16019 

Benini, A. (with Pellegrini Manara, Silvia) Near-rings with left and right self-distributive 
multiplication. 92a:16050 

Broughton, S. Allen The equisymmetric stratification of the moduli space and the Krull 
dimension of mapping class groups. 92d:57013 

Camillo, Victor P. (with Yousif, Mohamed F.) Continuous rings with ACC on annihilators. 
92i:16006 

Dauns, John Classes of modules. 92g:16003 

Dinh Van Huynh (with Nguyén Viét Ding”; Wisbauer, Robert) On modules with finite 
uniform and Krull dimension. 92g:16001 

Dubrovin, N. I. see Alajbegovi¢é, Jusuf H., 92b:16019 

Kobayashi, Shigeru see Abbasi, G. Q.; et al., 92e:16013 

Lenagan, T. H. (with Warfield, Robert B., Jr.) Affiliated series and extensions of modules. 
92m:16037 

Loustaunau, Philippe (with Shapiro, Jay) Morita contexts. 92b:16012 

Marubayashi, Hidetoshi see Abbasi, G. Q.; et al., 92¢e:16013 

Miller, Bruno J. (with Singh, Surjeet) Uniform modules over serial rings. II. 92d:16013 

Nguyén Viét Ding? see Dinh Van Huynh; et al., 92g:16001 

Pellegrini Manara, Silvia see Benini, A., 92a:16050 

Saorin Castaiio, M. Descending chain conditions for graded rings. 92i:16032 

Shapiro, Jay see Loustaunau, Philippe, 92b:16012 

Singh, Surjeet see Maller, Bruno J., 92d:16013 

Torrecillas Jover, Blas Invariant ideals for a torsion theory. (Spanish. English summary) 
(see 92b:00044) 

Tuganbaev, A. A. Rings with poorly injective factor rings. (Russian) 92m:16005 

Ueda, Akira’ see Abbasi, G. Q.; et al., 92e:16013 

Warfield, Robert B., Jr. see Lenagan, T. H., 92m:16037 

Wisbauer, Robert see Dinh Van Huynh; et al., 92g:16001 

Wright, Mary H. Uniform modules over serial rings with Krull dimension. 92b:16005 

Yousif, Mohamed F. see Camillo, Victor P., 92i:16006 

Zhu, Sheng Lin On rings over which every flat left module is finitely projective. 92j:16002 


16P70 Chain conditions on other classes of submodules, ideals, 
subrings, etc.; coherence 


Ara, Pere (with Armendariz, Efraim P.; Park, Jae Keol) Continuous rings with restricted 
chain conditions. 92¢:16023 

Armendariz, Efraim P. see Ara, Pere; et al., 92c:16023 

Camillo, Victor P. (with Yousif, Mohamed F.) CS-modules with ACC or DCC on essential 
submodules. 92b:16049 

Guo, Yuan Chun Some results on rings almost satisfying the descending chain condition for 
principal left ideals. (Chinese. English summary) 

Osofsky, Barbara L. Chain conditions on essential submodules. 92c:16024 

Park, Jae Keol see Ara, Pere; et al., 92c:16023 

Tuganbaev, A. A. Rings of quotients, and distributive rings. (Russian) 92b:16050 

Yousif, Mohamed F. see Camillo, Victor P., 92b:16049 


Items with secondary classifications in 16P70 

Aburawash, Usama A. Semiprime involution rings and chain conditions. 92m:16055 

Al-Khamees, Yousif Finite almost chain rings. 92h:16018 

Armendariz, Efraim P. (with Park, Jae Keol) Self-injective rings with restricted chain 
conditions. 92m:16002 

Beidar, K.1. (with Trokanova-Salavova, K.) On nil rings satisfying minimum condition on 
principal right ideals. 92c:16017 

Bergen, Jeffrey Actions of solvable Lie algebras on rings with no nilpotent elements. 
92b:16075 

Hirano, Yasuyuki Some characterizations of 2-regular rings of bounded index. 92h:16008 

Loi, N. V. see Pham Ngoc Anh; et al., 92k:16010 

Park, Jae Keol see Armendariz, Efraim P., 92m:16002 

Pham Ngoc Anh (with Loi, N. V.; Thanh, D. V.) Perfect rings without identity. 92k:16010 

Thanh, D. V. see Pham Ngoc Anh; et al., 92k:16010 

Trokanova-Salavova, K. see Beidar, K. I., 92c:16017 

Wisbauer, Robert Generalized co-semisimple modules. 924:16009 

Zhu, Sheng Lin On rings over which every flat left module is finitely projective. 92j:16002 


16P90 Growth rate, Gel'fand-Kirillov dimension 


Gateva-Ivanova, Tatiana Noetherian properties and growth of some associative algebras. 
92¢:16025 


Wa, Quan Shui Gel'fand-Kirillov dimension under base field extension. 92j:16017 





283 1992 


Items with secondary classifications in 16P90 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Loop space homology of spaces 
of LS category one and two. 92b:55006 

— (with Halperin, Stephen; Thomas, Jean-Claude) Lie algebras of polynomial growth. 
92i:57034 

Halperin, Stephen see Félix, Yves; et al., 92b:55006 and 92i:57034 

Makar-Limanov, Leonid On subalgebras of the first Weyl skewfield. 92g¢:16049 

Nehring, Jerzy Polynomial growth trivial extensions of non-simply connected algebras. 
(Russian summary) 92b:16066 

Thomas, Jean-Claude see Félix, Yves; et al., 92b:55006 and 92i:57034 

Ufnarovskii, V. A. Combinatorial and asymptotic methods in algebra. (Russian) 92h:16024 


16P99 None of the above, but in this section 


Kitamura, Yoshimi Inheritance of FPF rings. 92¢:16026 

Osofsky, Barbara L. (with Smith, Patrick F.) Cyclic modules whose quotients have all 
complement submodules direct summands. 92f:16030 

Smith, Patrick F. see Osofsky, Barbara L., 92f:16030 


Items with secondary classifications in 16P99 


Faith, Carl (with Pillay, Poobhalan) * Classification of commutative FPF rings. 92k:13012 
Letizia, Angiola A-hyperspaces with ACC. (Italian. English summary) 92k:20138 
Pillay, Poobhalan see Faith, Carl, 92k:13012 


16Rxx Rings with polynomial identity 


16R10 T7-ideals, identities, varieties of rings and algebras 

Chuang, Chéng Liang An independence property of central polynomials. 92c:16027 

Formanek, Edward * The polynomial identities and invariants of n x n matrices. 
92d:16031 

Grishin, A. V. On the finite basis property for systems of generalized polynomials. (Russian) 
92h:16020 

Kemer, A. R. * Ideals of identities of associative algebras. 92f:16031 

— Identities of associative algebras. 92m:16038 

(Kohls, C. W.) see Kemer, A. R., 92f:16031 

Olsson, Jorn B. (with Regev, Amitai) Modular cocharacters for P.I. algebras. 92j:16018 

Regev, Amitai Grassmann algebras over finite fields. 92i:16023 

— see also Olsson, Jorn B., 92j:16018 


Simons, G. E. The structure of rings in some varieties with definable principal congruences. 
92g:16034 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Formanek, Edward, 92d:16031 


Items with secondary classifications in 16R10 

Benini, A. (with Pellegrini Manara, Silvia) Near-rings with left and right self-distributive 
multiplication. 92a:16050 

Chanyshev, A. D. Nilpotency of graded associative algebras. (Russian) 92b:16082 

Di Vincenzo, O. M. A note on the identities of the Grassmann algebras. (Italian summary) 
92m:16039 

Pellegrini Manara, Silvia see Benini, A., 92a:16050 

Volkov, M. V. Varieties of rings that are defined by a lattice of subvarieties. (Russian) 
92c:08014 

Zamyatin, A. P. Rings with nilpotent elements in varieties with a decidable elementary 
theory. (Russian) 92a:03045 


16R20 Semiprime p.i. rings, rings embeddable in matrices over 
commutative rings 


Di Vincenzo, O.M. Multilinear polynomials with invertible values. 92b:16051 

Hassanein, A. M. Sur les anneaux semi-premiers différentiels 4 identité polynomiale. [On 
differential semiprime rings with polynomial identity] 92h:16021 

Li, Ch’iu K’un Powers of skew and symmetric elements under a derivation. 92b:16052 


Items with secondary classifications in 16R20 
Formanek, Edward * The polynomial identities and invariants of n x n matrices. 
924:16031 


Vonessen, N. Prime ideals in intermediate integral centralizing extensions of PI-rings. 
92b:16036 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Formanek, Edward, 92d:16031 


16R30 Trace rings and invariant theory 


Berele, Allan Trace rings for verbally prime algebras. 92g:16035 

Littelmann, Peter (with Procesi, Claudio) On the Poincaré series of the invariants of binary 
forms. 92d:16032 

Mourrain, Bernard Some algebra with formal matrices. 92i:16024 

Procesi, Claudio see Littelmann, Peter, 92d:16032 

Reichstein, Zinovy A functional interpretation of the ring of matrix invariants. 92a:16028 

Tambour, Torbjérn Noncommutative classical invariant theory. 92h:16022 

Teranishi, Yasuo Explicit descriptions of trace rings of generic 2 by 2 matrices. 92b:16053 

Van den Bergh, Michel Explicit rational forms for the Poincaré series of the trace rings of 
generic matrices. 92h:16023 


16S_ Rings and algebras arising under various constructions 


Items with secondary classifications in 16R30 

Formanek, Edward * The polynomial identities and invariants of n x n matrices. 
924:16031 

Schofield, Aidan Semi-invariants of quivers. 92g:16019 

Zolotykh, A. A. Trace identities of matrix superalgebras with involution. (Russian) 
92a:17031 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Formanek, Edward, 92d:16031 


16R40 Identities other than those of matrices over commutative 
rings 
Birkenmeier, Gary F. (with Heatherly, Henry) Permutation identity rings and the medial 
radical. 92c:16028 


Di Vincenzo, O. M. A note on the identities of the Grassmann algebras. (Italian summary) 
92m:16039 


Heatherly, Henry see Birkenmeier, Gary F., 92c:16028 


Items with secondary classifications in 16R40 

Arad, Zvi (with Fisman, Elsa) On table algebras, C-algebras, and applications to finite 
group theory. 92k:20011 

Fisman, Elsa see Arad, Zvi, 92k:20011 


16R50 Other kinds of identities (generalized polynomial, 
rational, involution) 


Items with secondary classifications in 16R50 

Lanski, Charles Differential identities of prime rings, Kharchenko’s theorem, and 
applications. 92k:16050 

Mukhin, E. E. Yang-Baxter operators and the noncommutative de Rham complex. 
(Russian) 92k:17004 

Stokes, Timothy Conjugate polynomials over quadratic algebras. 92k:17005 


16R99 None of the above, but in this section 


Lee, Yang see Marubayashi, Hidetoshi; et al., (92i:16002) 

Marubayashi, Hidetoshi (with Lee, Yang; Park, Jae Keol) Prime ideals in polynomial rings 
over hereditary PI-rings. (see 92i:16002) 

Park, Jae Keol see Marubayashi, Hidetoshi; et al., (92i:16002) 


Items with secondary classifications in 16R99 

Bergen, Jeffrey Actions of solvable Lie algebras on rings with no nilpotent elements. 
92b:16075 

Bueso, J. L. (with Jara Martinez, Pascual; Verschoren, A.) Extensions and localization. 
92m:16048 

Chuang, Chéng Liang An independence property of central polynomials. 92c:16027 

Cuartero, Bienvenido (with Galé, José E.) Locally Pl-algebras over valued fields. (Spanish 
summary) 92h:46112 

Galé, José E. see Cuartero, Bienvenido, 92h:46112 

Jara Martinez, Pascual see Bueso, J. L.; et al., 92m:16048 

Verschoren, A. see Bueso, J. L.; et al., 92m:16048 

Yen, Chéng Té On a theorem of Herstein. 92a:16044 

Zaitsev, M. V. Special Lie algebras with maximality condition for abelian subalgebras. 
92£:17005 


16Sxx Rings and algebras arising under various 
constructions 


16S10 Rings determined by universal properties (free algebras, 
coproducts, adjunction of inverses, etc.) 


Liu, Shao Xue Isomorphism problem for tensor algebras over valued graphs. 92b:16054 

Martindale, Wallace S., III The symmetric ring of quotients of the coproduct of rings. 
92m:16040 

Yagzhev, A. V. Invertibility of endomorphisms of free associative algebras. (Russian) 
92g:16036 


Items with secondary classifications in 16S10 

Clay, James R. Addition of algebra endomorphisms. 92g:16061 

Cohn, P.M. An embedding theorem for free associative algebras. 92g:16023 

Crawley-Boevey, William Regular modules for tame hereditary algebras. 92b:16024 

Duchamp, Gérard Orthogonal projection onto the free Lie algebra. 92e:17003 

Finston, David R. On the growth of nomial extensions. 92:17002 

Olsson, Jorn B. (with Regev, Amitai) Modular cocharacters for P.I. algebras. 92j:16018 

Regev, Amitai see Olsson, Jorn B., 92j:16018 

Wehrfritz, B. A. F. Polycyclic group algebras and theorems of Harper and Lichtman. 
92k:20096 


16S15 Finite generation, finite presentability, normal forms 
(diamond lemma, term-rewriting) 


Guo, Yu? Finite-dimensional associative algebras with dual basis. (Chinese. English 
summary) 92b:16055 
Ufnarovskii, V. A. Combinatorial and asymptotic methods in algebra. (Russian) 92h:16024 





16S15 


Items with secondary classifications in 16S15 

Berger, Roland Quantification de l’identité de Jacobi. (English summary) [Quantization of 
the Jacobi identity] 92f:17012 

Gateva-Ivanova, Tatiana On the Noetherianity of some 
algebras. 92g:16031 

Prélat, Daniel Local invariant functions for representations of SO(n) and Gl(n, R). 
92i:22012 

Wisbauer, Robert A technique for localizations of modules over algebras. (Russian) 
92i:16021 


a 





iative finitely p 


16S20 Centralizing and normalizing extensions 


Kraemer, Julius Self-duality for finite normalizing extensions of skew fields. 92c:16029 
Quinn, Declan Integral extensions of noncommutative rings. 92h:16025 


Items with secondary classifications in 16S20 

Castella, D. Birégularité des anneaux de groupes gauches et des extensions libérales. 
[Biregularity of skew group rings and liberal extensions] 92k:16041 

Vonessen, N. Prime ideals in intermediate integral centralizing extensions of PI-rings. 
92b:16036 


16S30 Universal enveloping algebras of Lie algebras [See mainly 
17B35] 


Bergen, Jeffrey (with Passman, D. S.) Delta methods in enveloping rings. 92b:16056 
Passman, D.S. see Bergen, Jeffrey, 92b:16056 


Items with secondary classifications in 16S30 


Barou, Genevieve (with Malliavin-Brameret, Marie-Paule) Cohomologie locale et coho- 
mologie d’algébres de Lie. [Local cohomology and Lie algebra cohomology] 92a:17018 

Chin, William Crossed products of semisimple cocommutative Hopf algebras. 92m:16059 

Choi, Soon-Man A note on separable algebras. 

Duchamp, Gérard Orthogonal projection onto the free Lie algebra. 92e:17003 

Lenczewski, Romuald On certain submodules of the enveloping fields. 92m:17021 

Ma, Lin Jun (with Szeto, George) On Galois extensions of higher-degree-skew polynomial 
rings. 92d:16044 

Malliavin-Brameret, Marie-Paule see Barou, Genevieve, 92a:17018 

McCrimmon, Kevin Martindale systems of symmetric quotients. 92b:16039 

Petrogradskii, V.M. The existence of an identity in a bounded envelope. (Russian) 
92d:17012 

Rosso, Marc The universal R-matrix for the quantum SL(N)-group. 92k:17027 

— Algébres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul 
différentiel non commutatif. [Quantized enveloping algebras, compact quantum groups 
of matrices and noncommutative differential calculus] 92i:17022 

Schirrmacher, Arne Multiparameter R-matrices and their quantum groups. 92m:16060 

Szeto, George see Ma, Lin Jun, 924:16044 

Zaitsev, M. V. Special Lie algebras with maximality condition for abelian subalgebras. 
92:17005 

Zolotykh, A. A. Trace identities of matrix superalgebras with involution. (Russian) 
92a:17031 


16S32 Rings of differential operators [see also 13N10, 32C38] 


Brown, Kenneth A. The Artin algebras associated with differential operators on singular 
affine curves. 92f:16032 

Chamarie, Mare (with Musson, Ian M.) Rings of differential operators on one-dimensional 
algebras. 92d:16033 

Grigor’ev, D. Yu. Complexity of solving systems of linear equations over the rings of 
differential operators. 924:16034 

Ishibashi, Yasunori Note on differential operators on X/ + --- + X/ =0. 92k:16035 

Levasseur, Thierry Relévements d’opérateurs différentiels sur les anneaux d’invariants. 
[Liftings of differential operators on invariant rings] 92f:16033 

Musson, Ian M. see Chamarie, Marc, 92d:16033 

Perkins, Patrick Isomorphisms of rings of differential operators on curves. 92g:16037 

Yakushev, A.O. Projective modules over a ring on differential operators of affine spaces of 
positive characteristic. (Russian) 92b:16057 


Items with secondary classifications in 16S32 

Berthelot, Pierre Cohomologie rigide et théorie des -modules. [Rigid cohomology and the 
theory of Z-modules] 92h:14013 

Burchard, Paul Differential operators on cones. 92h:32013 

Grossman, Robert (with Larson, Richard Gustavus) Hopf-algebraic structure of combinato- 
rial objects and differential operators. 92b:16079 

Hart, Robert Glued algebras and differential operators. 92i:13023 

Larson, Richard Gustavus see Grossman, Robert, 92b:16079 

Legrand, A. Differential graded modules over a nonconnected differential graded algebra. 
92k:16016 

Miller, Bruno J. (with Zhang, Ying Lan) Ore localization in the first Weyl algebra. 
92b:16069 

Saorin Castaiio, M. Microlocal properties of filtered rings. 92e:16032 

Schwarz, Gerald W. Differential operators and orbit spaces. (see 92d:20004) 

Zhang, Ying Lan see Miiller, Bruno J., 92b:16069 


16S34 Group rings [see also 20C05, 20C07], Laurent polynomial 
rings 


Bhandari, Ashwani K. (with Sehgal, Sudarshan K.) An induction theorem for units of p- 
adic group rings. 92d:16035 


ASSOCIATIVE RINGS AND ALGEBRAS 


1992 284 


Chatters, A. W. (with Clark, John) Group rings which are unique factorisation rings. 
92d:16036 

Chatzidakis, Zoé (with Pappas, Peter) Units in abelian group rings. 92h:16026 

Clark, John see Chatters, A. W., 92d:16036 

Fernandes, Nair Alexandre A characterization of units in ZD,,. 92k:16036 

Hales, A. W. (with Luthar, I. S.; Passi, I. B.S.) Partial augmentations and Jordan 
decomposition in group rings. 92b:16058 

— (with Passi, I. B.S.) Integral group rings with Jordan decomposition. 92h:16027 

Hoechsmann, Klaus (with Ritter, Jiirgen) The Artin-Hasse power series and p-adic group 
rings. 92g:16038 

Karan, Ram (with Vermani, L. R.) Corrigendum: “Augmentation quotients of integral 
group rings. II” [J. Pure Appl. Algebra 65 (1990), no. 3, 253-262; MR 91h:16048}. 
92m:16041 

Kilshammer, Burkhard Group-theoretical descriptions of ring-theoretical invariants of 
group algebras. 92d:16037 

Lichtman, A. I. Trace functions in the ring of fractions of polycyclic group rings. 92f:16034 

Luthar, I.S. see Hales, A. W.; et al., 92b:16058 

Ma, Lin Jun see Szeto, George, 92e:16021 

Mann, Avinoam (with Shalev, Aner) The nilpotency class of the unit group of a modular 
group algebra. II. 92a:16030 

Nachev, N. A. Isomorphism of the group algebras of the abelian p-groups over the ring 
Z{\/p]. 92b:16059 

Okon, James S. (with Vicknair, J. Paul) Group rings with n-generated ideals. 92k:16037 

Pappas, Peter see Chatzidakis, Zoé, 92h:16026 

Passi, I. B.S. see Hales, A. W.; et al., 92b:16058 and 92h:16027 

Riley, David M. Group rings with hypercentral unit groups. 92h:16028 

— Restricted Lie dimension subgroups. 92g:16039 

Ritter, Jiirgen see Hoechsmann, Klaus, 92g:16038 

Rosenmann, Amnon (with Rosset, Shmuel) Essential and inessential fractal ideals in the 
group ring of a free group. 92k:16038 

Rosset, Shmuel see Rosenmann, Amnon, 92k:16038 

Sehgal, Sudarshan K. see Bhandari, Ashwani K., 92d:16035 

Shalev, Aner The nilpotency class of the unit group of a modular group algebra. I. 
92a:16029 

— Large wreath products in modular group rings. 92d:16038 

— see also Mann, Avinoam, 92a:16030 

Szeto, George (with Ma, Lin Jun) On Galois projective group rings. 92¢:16021 

Vasantha, W. B. On group rings which are p-rings. 92g:16040 

— Semi-idempotents in the group ring of a cyclic group over the field of rationals. 
92m:16042 

— Idempotents in quasi-reflexive group rings. 

Vermani, L. R. see Karan, Ram, 92m:16041 

Vershik, A.M. Local stationary algebras. 92b:16060 

Vicknair, J. Paul see Okon, James S., 92k:16037 

Wehrfritz, B. A. F. Crossed product criteria and skew linear groups. II. 92j:16019b 

— Crossed product criteria and skew linear groups. 92j:16019a 

— On rings of quotients of group algebras of soluble groups of finite rank. 92k:16039 

Yamin, Mohammad Relative relation modules of finite groups. 92m:16043 

Yang, Tong Hai On the algebraic structure of group rings. (Chinese summary) 92b:16061 


Items with secondary classifications in 16834 

Banu, Nasima Akter On the isomorphism of group algebras of groups of order 16 p. (Bengali 
summary) 92b:20006 

Brown, Kenneth A. (with Wehrfritz, B. A. F.) Goldie criteria for some semiprime rings. 
92j:16015 

— (with Marubayashi, Hidetoshi; Smith, Patrick F.) Group rings which are v-HC orders and 
Krull orders. 92j:16012 

Castella, D. Birégularité des anneaux de groupes gauches et des extensions libérales. 
[Biregularity of skew group rings and liberal extensions] 92k:16041 

Chen, Chang Nan (with Zhu, Bin) Ideal lattices of a class of subrings of complete matrix 
rings over strongly graded rings. (Chinese. English summary) 

Chlebowitz, M. (with Kiilshammer, Burkhard) Symmetric local algebras with 5- 
dimensional center. 92¢:16020 

Clay, James R. Addition of algebra endomorphisms. 92g:16061 

Evans, Martin Julian Torsion in pro-finite completions of torsion-free groups. 92b:20066 

Fukushima, Hiroshi On groups G of p-length 2 whose nilpotency indices of J(KG) are 
a(p — 1) +1. 92m:20007 

Garotta, Odile A generalization of Webb’s theorem to Auslander-Reiten systems. 92b:16029 

Giambruno, Antonio (with Valenti, Angela; Sehgal, Sudarshan K.) Automorphisms of the 
integral group rings of some wreath products. 92c:20006 

Gupta, Narain The dimension subgroup conjecture. 92d:20009 

— A solution of the dimension subgroup problem. 92k:20010 

Hacque, Michel Produits croisés mixtes: extensions de groupes et extensions d’anneaux. 
[Mixed crossed products: extensions of groups and rings] 92k:16042 

Hog-Angeloni, Cynthia A short topological proof of Cohn’s theorem. 92e:57003 

— On the homotopy type of 2-complexes with a free product of cyclic groups as fundamental 
group. 92e:57004 

Huang, Guo Qiang On interior G-algebras. 92k:20009 

Jespers, Eric (with Leal, Guilherme) Describing units of integral group rings of some 2- 
groups. 92f:20004 

Jia, Bao-Ping Splitting of rank-one valuations. 92g:12009 

Kimmerle, Wolfgang Beitrage zur ganzzahligen Darstellungstheorie endlicher Gruppen. 
[Contributions to integral representation theory of finite groups] 92h:20011 

King, Ronald Curtis (with Wybourne, Brian G.) Characters of Hecke algebras H,,(q) of type 
An-1. 924:20011 

Kilshammer, Burkhard see Chlebowitz, M., 92e:16020 

Lawrence, John W. The Jacobson radical of tensor products. 92f:16024 

Leal, Guilherme see Jespers, Eric, 92f:20004 

Luthar, I.S. (with Trama, Poonam) Zassenhaus conjecture for certain integral group rings. 
92b:20008 





285 1992 


Makar-Limanov, Leonid On subalgebras of the first Weyl skewfield. 92g:16049 

Mann, Avinoam Wreath products in modular group rings. 92i:20005 

Marubayashi, Hidetoshi see Brown, Kenneth A.; et al., 92j:16012 

Mikhovski, S. V. Central algebraic elements of strongly group-graded rings. 92b:16085 

Nelis, Peter The Schur group conjecture for the ring of integers of a number field. 
92e:11118 

Ninomiya, Yasushi (with Wada, Tomoyuki) Cartan matrices for blocks of finite p-solvable 
groups with two simple modules. 92g:20019 

Rips, Eliyahu (with Shalev, Aner) Lie properties of modular group algebras. (see 
92c:20003) 

Ritter, Jiirgen (with Sehgal, Sudarshan K.) Construction of units in group rings of 
monomial and symmetric groups. 92i:20007 

Roggenkamp, Klaus W. Observations on a conjecture of Hans Zassenhaus. 92g:20004 

Sehgal, Sudarshan K. Units of integral group rings—a survey. 92c:20008 

— see also Giambruno, Antonio; et al., 92c:20006 and Ritter, Jiirgen, 92i:20007 

Shalev, Aner Lie dimension subgroups, Lie nilp y indices, and the exponent of the 
group of normalized units. 92b:20009 

— Meta-abelian unit groups of group algebras are usually abelian. 92g:20005 

— see also Rips, Eliyahu, (92c:20003) 

Shpil'rain, V. E. On the centers of free central extensions of some groups. 92a:20009 

— Some applications of free differential calculus in group theory. (Russian) 92k:20053 

Siegel, Stephen Projective modules for Ag in characteristic three. 92g:20006 

Smith, Patrick F. see Brown, Kenneth A.; et al., 92j:16012 

Thévenaz, Jacques Defect theory for maximal ideals and simple functors. 92h:20025 

Trama, Poonam see Luthar, I. S., 92b:20008 

Triifaj, Jan Constructions and homological properties of simple von Neumann regular 
rings. 92a:16015 

Valenti, Angela see Giambruno, Antonio; et al., 92c:20006 

Wada, Tomoyuki see Ninomiya, Yasushi, 92g:20019 

Wehrfritz, B. A. F. Polycyclic group algebras and theorems of Harper and Lichtman. 
92k:20096 

— see also Brown, Kenneth A., 92j:16015 

Weiss, Alfred R. Torsion units in integral group rings. 92c:20009 

Wybourne, Brian G. see King, Ronald Curtis, 92d:20011 

Zhu, Bin see Chen, Chang Nan; et al. 





16S35 Twisted and skew group rings, crossed products 


Aljadeff, Eli Homological duality for crossed products. 92¢:16030 

Amitsur, S. A. Galois splitting fields of a universal division algebra. 92k:16040 

Castella, D. Compressibilité des anneaux de groupes gauches et des anneaux de points fixes. 
[Compressibility of skew group rings and fixed-point rings] 92f:16035 

— Birégularité des anneaux de groupes gauches et des extensions libérales. [Biregularity of 
skew group rings and liberal extensions] 92k:16041 

Cisneros, Eduardo (with Ferrero, Miguel A.; Gonzalez, Maria Inés) Prime ideals of skew 
polynomial rings and skew Laurent polynomial rings. 92g:16041 

Deng, Xin De see Szeto, George, 92a:16032 

Ferrero, Miguel A. see Cisneros, Eduardo; et al., 92g:16041 

Gonzalez, Maria Inés see Cisneros, Eduardo; et al., 92g:16041 

Hacque, Michel Produits croisés mixtes: extensions de groupes et extensions d’anneaux. 
[Mixed crossed products: extensions of groups and rings] 92k:16042 

Kim, Eun Sup see Park, Young Soo, 92i:16025 

Klasen, Wolfgang (with Schmid, Peter) Induced crossed products. 92a:16031 

Kursov, V. V. Cyclic crossed products of simple finite-dimensional central algebras. 
(Russian. English summary) 92e:16022 

Ma, Lin Jun see Szeto, George, 92g:16042 

Osterburg, James (with Peligrad, Costel) A strong Connes spectrum for finite group actions 
of simple rings. 92m:16044 

Park, Young Soo (with Kim, Eun Sup) The center of twisted group algebras over connected 
rings. 92i:16025 

Peligrad, Costel see Osterburg, James, 92m:16044 

Schmid, Peter see Klasen, Wolfgang, 92a:16031 

Szeto, George (with Ma, Lin Jun) On Galois crossed-product with an inner Galois group. 
(Serbo-Croatian summary) 92g:16042 

— (with Deng, Xin De) On Galois skew polynomial rings with inner Galois groups. 
92a:16032 

Wehrfritz, B. A. F. Crossed products, control in group algebras and absolutely irreducible 
groups. 92a:16033 


Items with secondary classifications in 16S35 

Alfaro, Ricardo State spaces, finite algebras, and skew group rings. 92d:16016 

Aljadeff, Eli Serre’s extension theorem for crossed products. 92:18003 

Chin, William Crossed products of semisimple cocommutative Hopf algebras. 92m:16059 

Deng, Xin De see Szeto, George, 92d:16045 

Laubenbacher, Reinhard C. (with Webb, David L.) The structure of the integral group ring 
of a finite group with cyclic Sylow subgroups. 92f:20005 

Loustaunau, Philippe (with Shapiro, Jay) Localization in a Morita context with applications 
to fixed rings. 92k:16034 

Nauwelaerts, E. (with Van Oystaeyen, Freddy) Module characters and projective represen- 
tations of finite groups. 92f:20015 

Nelis, Peter (with Van Oystaeyen, Freddy) The projective Schur subgroup of the Brauer 
group and root groups of finite groups. 92b:13008 

Saeed-Ul-Islam, M. On the degrees of irreducible projective representations. 92¢:20026 

Shapiro, Jay see Loustaunau, Philippe, 92k:16034 

Szeto, George (with Deng, Xin De) Notes on central Galois algebras. 92d:16045 

— (with Wong, Yuen-Fat) On Azumaya projective group rings. 92m:16024 

Ulbrich, K.-H. Generalized crossed products and Azumaya algebras. 92a:16022 

Van Oystaeyen, Freddy see Nelis, Peter, 92b:13008 and Nauwelaerts, E., 92f:20015 

Webb, David L. see Laubenbacher, Reinhard C., 92f:20005 

Wong, Yuen-Fat see Szeto, George, 92m:16024 


16S_ Rings and algebras arising under various constructions 


16S50 


16S36 Ordinary and skew polynomial rings and semigroup rings 
[see also 20M25] 


Behrens, Ernst-August The arithmetic of normal ideals in the quotient ring of some skew- 
polynomial rings. 92k:16043 

Hill, David Arneson Torsion modules over the ring of differential polynomials. 92b:16062 

Kikumasa, Isao Automorphisms of a certain skew polynomial ring of derivation type. 
92¢:16031 

Klein, Abraham A. Free subsemigroups of domains. 92m:16045 

Leroy, André (with Matczuk, Jerzy) Prime ideals of Ore extensions. 92h:16029 

Matczuk, Jerzy see Leroy, André, 92h:16029 

Musavi, Ahmad On the semiprimitivity of skew polynomial rings. (Persian) (see 
92m:00055) 

Voskoglou, Michael G. Semiprime ideals of skew polynomial rings. 92¢:16032 

— Prime and semiprime ideals of skew polynomial rings over commutative rings. (Turkish 
summary) 92g:16043 


Items with secondary classifications in 16S36 

Cisneros, Eduardo (with Ferrero, Miguel A.; Gonzalez, Maria Inés) Prime ideals of skew 
polynomial rings and skew Laurent polynomial rings. 92g:16041 

Decruyenaere, Fabien (with Jespers, Eric; Wauters, Pau!) Semigroup algebras and direct 
sums of domains. 92g:20111 

— (with Jespers, Eric; Wauters, Paul) On commutative principal ideal semigroup rings. 
92i:20070 

Ferrero, Miguel A. see Cisneros, Eduardo; et al., 92g:16041 

Gonzalez, Maria Inés see Cisneros, Eduardo; et al., 92g:16041 

Hassanein, A. M. Sur les anneaux semi-premiers différentiels a identité polynomiale. [On 
differential semiprime rings with polynomial identity] 92h:16021 

Ikehata, Shiichi see Okamoto, Hiroaki, 92d:16021 

Jespers, Eric see Decruyenaere, Fabien; et al., 92g:20111 and 92i:20070 

Kamal, Ahmed A. M. Some remarks on the finiteness conditions of rings. 92m:16008 

Kelarev, A. V. On semigroup algebras of cancellative commutative semigroups. 92h:20099 

Larson, Richard Gustavus (with Taft, Earl J.) The algebraic structure of linearly recursive 
sequences under Hadamard product. 92g:16056 

Matsuda, Ryéki Torsion-free abelian semigroup rings. VII. 92f:20075 

Okamoto, Hiroaki (with Ikehata, Shiichi) On H-separable polynomials of degree 2. 
92d:16021 

Oknitiski, Jan * Semigroup algebras. 92f:20076 

Rhodes, John (with Zalcstein, Yechezkel) Elementary representation and character theory 
of finite semigroups and its application. 92k:20129 

Taft, Earl J. see Larson, Richard Gustavus, 92g:16056 

Vasantha, W. B. Semigroup rings which are p-rings. 92¢:20125 

Wauters, Paul see Decruyenaere, Fabien; et al., 92g:20111 and 92i:20070 

Zalcstein, Yechezkel see Rhodes, John, 92k:20129 


16S40 Smash products of general Hopf actions [see also 16W30] 


Bergen, Jeffrey (with Cohen, Miriam; Fischman, Davida) Irreducible actions and faithful 
actions of Hopf algebras. 92g:16044 

Chen, Qing Hua’ Finiteness conditions for the smash product. (Chinese. English summary) 

Chin, William Spectra of smash products. 92g:16045 

— Crossed products and generalized inner actions of Hopf algebras. 92h:16030 

Cohen, Miriam see Bergen, Jeffrey; et al., 92g:16044 

Fischman, Davida see Bergen, Jeffrey; et al., 92g:16044 

Liu, Shao Xue Two results on smash products. 92m:16046 

Song, Chuan Ning Some applications of Connes spectra and some properties of smash 
products. (Chinese. English summary) 92h:16031 


Items with secondary classifications in 16S40 


Bergen, Jeffrey (with Passman, D.S.) Delta methods in enveloping rings. 92b:16056 
Passman, D.S. see Bergen, Jeffrey, 92b:16056 


16S50 Endomorphism rings: matrix rings [see also 15-XX] 


Azumaya, Goro Locally split submodules and modules with perfect endomorphism rings. 
92b:16063 

Chen, Chang Nan (with Zhu, Bin) Ideal lattices of a class of subrings of complete matrix 
rings over strongly graded rings. (Chinese. English summary) 

Dugas, Manfred (with Hausen, Jutta; Johnson, Johnny A.) Rings whose additive endomor- 
phisms are ring endomorphisms. 92k:16044 

Fuchs, Peter Rudolf A characterisation result for matrix rings. 92a:16034 

Garcia Hernandez, José Luis The characterization problem for endomorphism rings. 
92a:16035 

Hausen, Jutta (with Johnson, Johnny A.) A note on constructing E-rings. 92d:16039 

— see also Dugas, Manfred; et al., 92k:16044 

Johnson, Johnny A. see Hausen, Jutta, 92d:16039 and Dugas, Manfred; et al., 92k:16044 

Khuri, Soumaya Makdissi Nonsingular retractable modules and their endomorphism rings. 
92b:16064 

Mohamed, Saad H. (with Miiller, Bruno J.) Structure of pseudo-semisimple rings. 
92d:16040 

Miller, Bruno J. see Mohamed, Saad H., 92d:16040 

del Rio Mateos, Angel Finiteness conditions in rings of endomorphisms of quasi-injective 
modules. (Spanish) (see 92g:00024) 

Robson, J.C. Recognition of matrix rings. 92f:16036 

Saorin Castano, M. Notes on the characterization of the global and weak dimensions of the 
ring of endomorphisms of a module. (Spanish. English summary) (see 92g:00024) 

Siddoway, Michael F. On endomorphism rings of modules over Henselian rings. 92e:16023 

Szeto, George (with Wong, Yuen-Fat) On automorphisms of skew polynomials. 92b:16065 

Wolfson, Kenneth G. Endomorphism rings of locally free modules. 92m:16047 

Wong, Yuen-Fat see Szeto, George, 92b:16065 





16S50 


Wu, Tong Suo The Behrens radical of a full matrix ring over an associative ring. (Chinese 
summary) 

Zelmanowitz, Julius M. On ideals of m-primitive rings. 92i:16026 

Zhang, Ju Le Endomorphism rings of generalized quasi-injective modules. (Chinese 
summary) 

Zhao, Si Yuan The subring lattice of M>(F2). (Chinese. English summary) 

— Algebras of rank 2 over Z/p*Z with nilpotent index 3 and with square isomorphic to 
Np ® Np. (Chinese. English summary) 

Zhu, Bin see Chen, Chang Nan; et al. 


Items with secondary classifications in 16S50 

Abbasi, S. J. (with Meldrum, J. D. P.; Meyer, J. H.) The Jo-radical of matrix near-rings. 
92a:16049 

Barker, George Phillip (with Kezlan, Thomas P.) Automorphisms of algebras of upper 
triangular matrices. 92d:16043 

Booth, G. L. (with Groenewald, N. J.) On primeness in matrix near-rings. 92¢:16034 

Faticoni, Theodore G. (with Goeters, H. Pat) Examples of torsion-free groups flat as 
modules over their endomorphism rings. 92c:20098 

Formanek, Edward * The polynomial identities and invariants of n x n matrices. 
924:16031 

Gobel, Riidiger (with Goldsmith, B.) On almost-free modules over complete discrete 
valuation rings. 92m:13014 

Goeters, H. Pat see Faticoni, Theodore G., 92c:20098 

Goldsmith, B. see Gibel, Riidiger, 92m:13014 

Gémez Pardo, J. L. (with Rodriguez Gonzalez, N.) Endomorphism rings with Morita 
duality. 92f:16005 

Groenewald, N. J. see Booth, G. L., 92¢:16034 

de la Harpe, Pierre (with Jones, V. F.R.) Paires de sous-algébres semi-simples et graphes 
fortement réguliers. (English summary) [Pairs of semisimple subalgebras and strongly 
regular graphs] 92c:16004 

Huylebrouck, D. Equivalence of von Neumann regular and idempotent matrices. 92c:15016 

Jones, V. F.R. see de la Harpe, Pierre, 92c:16004 

Kezlan, Thomas P. see Barker, George Phillip, 92d:16043 

Koike, Kazutoshi see Kurata, Yoshiki, 92k:16045 

Kurata, Yoshiki (with Koike, Kazutoshi) Quotient rings of ®-trivial extensions. 92k:16045 

Maxson, C. J. (with Smith, Kirby C.) Centralizer near-rings acting on SE-groups. 
92¢:16035 

Meldrum, J.D. P. see Abbasi, S. J.; et al., 92a:16049 

Meyer, J. H. see Abbasi, S. J.; et al., 92a:16049 

Pierce, R.S. (with Vinsonhaler, C. I.) Realizing subrings of rational division algebras. 
92g:16022 

Rodriguez Gonzalez, N. see Gomez Pardo, J. L., 92f:16005 

Smith, Kirby C. see Maxson, C. J., 92¢:16035 

Vaserstein, Leonid N. (with Wheland, E.) Commutators and companion matrices over rings 
of stable rank 1. 92a:19002 

Vinsonhaler, C.1. see Pierce, R. S., 92g:16022 

Wheland, E. see Vaserstein, Leonid N., 92a:19002 

Wiedemann, Alfred A construction of orders of finite global dimension. 92d:16023 

Zekovich, B. Universal covering rings and their radicals. (Russian) 92a:16038 

Zhu, Bin Some conditions for subdirectly irreducible rings to be full matrix rings or division 
rings. (Chinese summary) 92b:16006 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Formanek, Edward, 92d:16031 


16860 Rings of functions, subdirect products, sheaves of rings 


Fu, Chang Lin (with Yuan, Yong Jiu) Derivations of subdirectly irreducible rings. (Chinese. 
English summary) 
Yuan, Yong Jiu see Fu, Chang Lin; et al. 


Items with secondary classifications in 16S60 

Carson, Andrew B. Rings that are not elementarily equivalent to a function ring. 92a:03051 

Mulero Diaz, Ma. Angeles Flatness criterion for C(X) modules. (Spanish. English 
summary) (see 92m:00050) 

Murty, C. V.L.N. see Reddy, Y. V., 92i:16036 

Reddy, Y. V. (with Murty, C. V.L.N.) Regular IFP near-rings. 92i:16036 

Uhimann, Armin On the use of associative algebras in differential geometry. 92g:58010 


16S70 Extensions of rings by ideals 


Bueso, J. L. (with Jara Martinez, Pascual; Verschoren, A.) Extensions and localization. 
92m:16048 

Chen, Jian Long (with Han, Rui Zhu) Some results on algebraic extension rings R[x]. 
(Chinese. English summary) 

Han, Rui Zhu see Chen, Jian Long; et al. 

Jara Martinez, Pascual see Bueso, J. L.; et al., 92m:16048 

Koike, Kazutoshi see Kurata, Yoshiki, 92k:16045 

Kurata, Yoshiki (with Koike, Kazutoshi) Quotient rings of ®-trivial extensions. 92k:16045 

Liang, Qi On extensions of rings. (Chinese. English summary) 

Nehring, Jerzy Polynomial growth trivial extensions of non-simply connected algebras. 
(Russian summary) 92b:16066 

Ou, Hai Wen Finite normal extensions and modules of rings. (Chinese. English summary) 

Verschoren, A. see Bueso, J. L.; et al., 92m:16048 


Xiao, Jie! On indecomposable modules over a representation-finite trivial extension algebra. 
92¢:16033 


Items with secondary classifications in 16S70 
Grater, Joachim The “Defektsatz” for central simple algebras. 92f:16018 


ASSOCIATIVE RINGS AND ALGEBRAS 


1992 286 


Horvath, Erzsébet (with Puczylowski, Edmund R.) Some remarks on simple rings. (Italian 
summary) 92b:16035 

Ikehata, Shiaichi see Okamoto, Hiroaki, 92d:16021 

Kishimoto, Kazuo' On P-Galois extensions of rings of cyclic type. 92c:13007 

Koike, Kazutoshi Self-injectivity of semitrivial extensions. (see 92i:16002) 

Loonstra, Frans The importance of rational extensions. (Italian summary) 92k:16047 

Okamoto, Hiroaki (with Ikehata, Shiichi) On H-separable polynomials of degree 2. 
92d:16021 

Puczylowski, Edmund R. see Horvath, Erzsébet, 92b:16035 


16S80 Deformations of rings [see also 14D15] 


Dana-Picard, Thierry 7-dimensional algebras with mixed basis-graph. 92m:16049 

Griinenfelder, Luzius Tangent cohomology, Hopf algebra actions and deformations. 
92a:16036 

Schaps, Mary Integral and p-modular semisimple deformations for p-solvable groups of 
finite representation type. 92b:16067 


Items with secondary classifications in 16S80 

Biedenharn, L.C. Tensor operator structures in quantum unitary groups. 92h:81069 

Floreanini, Roberto (with Leites, D. A.; Vinet, Luc) On the defining relations of quantum 
superalgebras. 92m:17010 

Goze, Michel (with Makhlouf, Abdenacer) On the rigid complex associative algebras. 
92d:16005 

Juréo, Branislav Differential calculus on quantized simple Lie groups. 92k:58023 

Leites, D. A. see Floreanini, Roberto; et al., 92im:17010 

Maeda, Yoshiaki see Omori, Hideki; et al., 924:58071 

Makhlouf, Abdenacer see Goze, Michel, 92d:16005 

Omori, Hideki (with Maeda, Yoshiaki; Yoshioka, Akira) Weyl manifolds and deformation 
quantization. 92d:58071 

Rickard, Jeremy Lifting theorems for tilting complexes. 92j:16007 

Shnider, Steven Bialgebra deformations. (French summary) 92e:16029 

Vinet, Luc see Floreanini, Roberto; et al., 92m:17010 

Yoshioka, Akira see Omori, Hideki; et al., 92d:58071 


16S90 Maximal ring of quotients, torsion theories, radicals on 
module categories [see also 13D30, 18E40] {For radicals 
of rings see 16Nxx.} 


Bican, Ladislav (with Salce, Luigi) Butler modules in torsion theories. (Italian summary) 
92b:16068 

— (with Torrecillas Jover, Blas) A general form of Kulikov’s theorem. 92g:16046 

Bueso, J. L. (with Segura, M. I.; Verschoren, A.) Strong stability and sheaves. 92g:16047 

Bunu, I. D. (with Goyan, I. M.; Tébyrtsé, E. I.) Primal ideals and pretorsions. (Russian) 
92k:16046 

Deng, Pei Min A generalization of Golan’s 19th problem. (Chinese. English summary) 

Golan, Jonathan S. More topologies on the torsion-theoretic spectrum of a ring. 92m:16050 

— (with Lépez-Permouth, Sergio R.) QlI-filters and tight modules. 92h:16032 

Gémez Torrecillas, José (with Torrecillas Jover, Blas) Torsionfree covers and covers by 
submodules of flat modules. 92m:16051a 

— (with Torrecillas Jover, Blas) Corrigendum to the paper: “Torsionfree covers and covers 
by submodules of flat modules”. 92m:16051b 

Goyan, I. M. see Bunu, I. D.; et al., 92k:16046 

Gray, Dereck On flatness relative to a torsion theory. 92m:16052 

Joubert, S. V. Some counterexamples in torsion theory. 92a:16037 

Loonstra, Frans The importance of rational extensions. (Italian summary) 92k:16047 

Lépez-Permouth, Sergio R. see Golan, Jonathan S., 92h:16032 

Miller, Bruno J. (with Zhang, Ying Lan) Ore localization in the first Weyl algebra. 
92b:16069 

Raggi Cardenas, Francisco Federico (with Rios Montes, José) On the lattice structure of 
torsion theories. 92c:16034 

Rincén-Mejia, Hugo Alberto On the lattice R-tors for semiperfect and QF rings. 92g:16048 

Rios Montes, José see Raggi Cardenas, Francisco Federico, 92c:16034 

Salce, Luigi see Bican, Ladislav, 92b:16068 

Segura, M.I. see Bueso, J. L.; et al., 92g:16047 

Tebyrtse, E.1. see Bunu, I. D.; et al., 92k:16046 

Teply, Mark L. (with Torrecillas Jover, Blas) Primitive ideals of nice Ore localizations. 
92b:16070 

Torrecillas Jover, Blas Invariant ideals for a torsion theory. (Spanish. English summary) 
(see 92b:00044) 

— see also Teply, Mark L., 92b:16070; Bican, Ladislav, 92g:16046; Gomez Torrecillas, José, 
92m:16051a and 92m:16051b 

Verschoren, A. see Bueso, J. L.; et al., 92g:16047 

Zhang, Shun Hua 7-regular rings and TV -rings. (Chinese. English summary) 92b:16071 

Zhang, Ying Lan see Miller, Bruno J., 92b:16069 

Zhou, Meng Generalized V-rings and torsion theories. (Chinese. English summary) 


Items with secondary classifications in 16S90 

Brown, Kenneth A. (with Haghany, A.; Lenagan, T. H.) Reflexive ideals and injective 
modules over Noetherian v-H orders. 92c:16022 

Busqué, Claudi Right self-injective regular rings that are biregular. (see 92b:00044) 

Cabrera-Garcia, Miguel (with Rodriguez-Palacios, Angel) Nonassociative ultraprime 
normed algebras. 92m:46070a 

— (with Rodriguez-Palacios, Angel) Nonassociative ultraprime normed algebras. 
92m:46070b 

Dauns, John Classes of modules. 92g:16003 

Gémez Torrecillas, José Techniques for the study of nonsingular modules. (Spanish. English 
summary) (see 92b:00044) 

Gonchigdorzh, R. Hereditary and semihereditary rings without nilpotent elements. 
(Russian) 92m:16010 





287 1992 


Haghany, A. see Brown, Kenneth A.; et al., 92c:16022 

Kashu, A. I. Fundamental functors of the categories of modules, and lattices of submodules. 
III. (Russian) 92a:16008 

Koike, Kazutoshi see Kurata, Yoshiki, 92k:16045 

Kurata, Yoshiki (with Koike, Kazutoshi) Quotient rings of ®-trivial extensions. 92k:16045 

Lenagan, T. H. see Brown, Kenneth A.; et al., 92c:16022 

Mathieu, Martin The symmetric algebra of quotients of an ultraprime Banach algebra. 
92g:46061 

Mikhalév, A. V. Extension of multiplicative isomorphisms of semiprime rings to their 
orthogonal completions. (Russian) 92c:16019 

Parvathi, S. Prime torsion theories of rings with finite group actions, group graded rings and 
their smash products. 92m:16064 

Rodriguez-Palacios, Angel see Cabrera-Garcia, Miguel, 92m:46070a and 92m:46070b 

Wehrfritz, B. A. F. Some soluble groups of finite rank and some related matrix groups. 
(Russian and Ukrainian summaries) 92m:20037 


16S99 None of the above, but in this section 


Abbasi, G.Q. On uniqueness of generalized direct products of rings. 
Krob, Daniel Some examples of formal series used in noncommutative algebra. 92k:16048 
Zekovich, B. Universal covering rings and their radicals. (Russian) 92a:16038 


Items with secondary classifications in 16S99 

Escassut, Alain Integrally closed algebras of analytic elements. 92f:46095 

Fuchs, Peter Rudolf (with Maxson, C. J.) Centralizer near-rings determined by PID- 
modules. 92a:16052 

Horwitz, L. P. see Razon, Aharon, 92j:46129 and 92}:46130 

Keller, Jaime (with Rodriguez-Romo, Suemi) Multivectorial representation of Lie groups. 
92e:15034 

Kobayashi, Yuji Complete rewriting systems and homology of monoid algebras. 92d:18003 

Lawrence, John W. The Jacobson radical of tensor products. 92f:16024 

Leroy, André (with Matczuk, Jerzy) Prime ideals of Ore extensions. 92h:16029 

Leszczytiski, Zbigniew On the representation type of triangular matrix algebras over special 
algebras. 92i:16014 

Matczuk, Jerzy see Leroy, André, 92h:16029 

Maxson, C. J. see Fuchs, Peter Rudolf, 92a:16052 

Mohamed, Saad H. (with Miiller, Bruno J.) Structure of pseudo-semisimple rings. 
92d:16040 

Miiller, Bruno J. see Mohamed, Saad H., 92d:16040 

Pestov, V.G. Nonstandard hulls of normed Grassmann algebras and their applications in 
superanalysis. (Russian) 92f:58020 

Razon, Aharon (with Horwitz, L. P.) Tensor product of quaternion Hilbert modules. 
92j:46129 

— (with Horwitz, L. P.) Projection operators and states in the tensor product of quaternion 
Hilbert modules. 92j:46130 

Riley, David M. Restricted Lie dimension subgroups. 92g:16039 

Rodriguez-Romo, Suemi see Keller, Jaime, 92e:15034 

Yu, Yao Ming Self-injectivity of smash products. (Chinese. English summary) 92g:16058 

Zekovich, B. Universal covering rings of simple generalized rings. (Russian) 92f:08004 


16Uxx Conditions on elements (including elements of 
matrix rings, etc.) 


16U10 Integral domains 


Items with secondary classifications in 16U10 

Abbasi, G. Q. (with Kobayashi, Shigeru; Marubayashi, Hidetoshi; Ueda, Akira!) Noncom- 
mutative unique factorization rings. 92e:16013 

Fuchs, Peter Rudolf (with Maxson, C. J.) Centralizer near-rings determined by PID- 
modules. 92a:16052 

Kobayashi, Shigeru see Abbasi, G. Q.; et al., 92e:16013 

Marubayashi, Hidetoshi see Abbasi, G. Q.; et al., 92¢:16013 

Maxson, C. J. see Fuchs, Peter Rudolf, 92a:16052 

Ueda, Akira’ see Abbasi, G. Q.; et al., 92e:16013 


16U20 Ore rings, multiplicative sets, Ore localization 


Abulkheir, Hamed E. (with Birkenmeier, Gary F.; Bourque, Anthony K.; Lee, Enoch K.) 
Localization with central units. 92f:16037a 

— (with Birkenmeier, Gary F.; Bourque, Anthony K.; Lee, Enoch K.) Corrigenda: 
“Localization with central units”. 92f:16037b 

Birkenmeier, Gary F. see Abulkheir, Hamed E.; et al., 92f:16037a and 92£:16037b 

Bourque, Anthony K. see Abulkheir, Hamed E.; et al., 92f:16037a and 92f:16037b 

Chakravarti, R.S. The largest Ore subset. (see 92m:00056) 

Lee, Enoch K. see Abulkheir, Hamed E.; et al., 92f:16037a and 92f:16037b 

Makar-Limanov, Leonid On subalgebras of the first Weyl skewfield. 92g:16049 


Items with secondary classifications in 16U20 

Abbasi, G.Q. (with Kobayashi, Shigeru; Marubayashi, Hidetoshi; Ueda, Akira!) Noncom- 
mutative unique factorization rings. 92e:16013 

Asensio, Maria Jesus (with Torrecillas Jover, Blas) Algebraic microlocalization. (Spanish. 
English summary) (see 92b:00044) 

Bueso, J. L. (with Jara Martinez, Pascual; Verschoren, A.) Extensions and localization. 
92m:16048 

Jara Martinez, Pascual see Bueso, J. L.; et al., 92m:16048 

Jespers, Eric (with Leal, Guilherme) Describing units of integral group rings of some 2- 
groups. 92f:20004 


16U Conditions on elements (including elements of matrix rings, etc.) 


Kobayashi, Shigeru see Abbasi, G. Q.; et al., 92e:16013 

Leal, Guilherme see Jespers, Eric, 92f:20004 

Marubayashi, Hidetoshi see Abbasi, G. Q.; et al., 92e:16013 

Miller, Bruno J. (with Zhang, Ying Lan) Ore localization in the first Weyl algebra. 
92b:16069 

Powers, Victoria Holomorphy rings and higher level orders on skew fields. 92b:11023 

Teply, Mark L. (with Torrecillas Jover, Blas) Primitive ideals of nice Ore localizations. 
92b:16070 

Torrecillas Jover, Blas see Teply, Mark L., 92b:16070 and Asensio, Maria Jesus, 
(92b:00044) 

Ueda, Akira’ see Abbasi, G. Q.; et al., 92e:16013 

Verschoren, A. see Bueso, J. L.; et al., 92m:16048 

Zhang, Ying Lan see Miller, Bruno J., 92b:16069 


16U30 Divisibility, noncommutative UFDs 


Al-Khamees, Yousif The group of automorphisms of finite chain rings. (Arabic summary) 
92a:16039 


Items with secondary classifications in 16U30 

Chatters, A. W. (with Clark, John) Group rings which are unique factorisation rings. 
92d:16036 

Clark, John see Chatters, A. W., 92d:16036 

Estes, Dennis R. Factorization in hereditary orders. 92h:16015 

Naveena Chandran, K. P. Localisation in generalised unique factorisation rings. (see 
92m:00056) 

Rowen, Louis H. Wedderburn’s method and algebraic elements of simple Artinian rings. 
92k:16025 


16U50 Algebraicity and local finiteness [see also 16N40] 
Vasantha, W. B. Regularly periodic elements of a ring. 


Items with secondary classifications in 16U50 

Grosen, Julie (with Tominaga, Hisao; Yaqub, Adil) On weakly periodic rings, periodic 
rings and commutativity theorems. 92c:16035 

Kelarev, A. V. The structure of radicals in algebras that are graded by semigroups. (Russian) 
92b:16034 

Lawrence, John W. The Jacobson radical of tensor products. 92f:16024 

Loustaunau, Philippe (with Shapiro, Jay) Morita contexts. 92b:16012 

Mikhovski, S. V. Central algebraic elements of strongly group-graded rings. 92b:16085 

Rowen, Louis H. Wedderburn’s method and algebraic elements of simple Artinian rings. 
92k:16025 

Shapiro, Jay see Loustaunau, Philippe, 92b:16012 

Tominaga, Hisao see Grosen, Julie; et al., 92c:16035 

Triifaj, Jan Constructions and homological properties of simple von Neumann regular 
rings. 92a:16015 

Yaqub, Adil see Grosen, Julie; et al., 92c:16035 


16U60 Units, groups of units, general linear groups 


Goodaire, Edgar G. (with Jespers, Eric; Parmenter, M. M.) Determining units in some 
integral group rings. 92a:16040 

Jespers, Eric see Goodaire, Edgar G.; et al., 92a:16040 

Mirowicz, Maciej Units in group rings of the infinite dihedral group. 92g:16050 

Parmenter, M. M. see Goodaire, Edgar G.; et al., 92a:16040 


Items with secondary classifications in 16U60 

Bhandari, Ashwani K. On the generators of subgroups of unit groups of group rings. 
92m:20006 

Bovdi, A. A. (with Khripta, I. I.) The Engel property of the multiplicative group of a group 
algebra. (Russian) 92f:20038 

Chatzidakis, Zoé (with Pappas, Peter) Units in abelian group rings. 92h:16026 

Chen, Wei Xin Unit elements in I-rings. (Chinese. English summary) 

Fernandes, Nair Alexandre A characterization of units in ZD,,. 92k:16036 

Hoechsmann, Klaus (with Ritter, Jiirgen) Constructible units in abelian p-group rings. 
92a:20008 

Khripta, I. I. see Bovdi, A. A., 92f:20038 

Luthar, I.S. (with Trama, Poonam) Zassenhaus conjecture for Ss. 92g:20003 

Mana, Avi Wreath p in modular group rings. 92i:20005 

Pappas, Peter see Chatzidakis, Zoé, 92h:16026 

Ritter, Jiirgen (with Sehgal, Sudarshan K.) Construction of units in group rings of 
monomial and symmetric groups. 92i:20007 

— see also Hoechsmann, Klaus, 92a:20008 

Roggenkamp, Klaus W. The isomorphism problem and related topics. 92¢:20004 

— (with Taylor, Martin J.) %* Group rings and class groups. 92m:20008 

Sehgal, Sudarshan K. Units of integral group rings—a survey. 92c:20008 

— see also Ritter, Jiirgen, 92i:20007 

Shalev, Aner Lie dimension subgroups, Lie nilpotency indices, and the exponent of the 
group of normalized units. 92b:20009 

— Meta-abelian unit groups of group algebras are usually abelian. 92g:20005 

Taylor, Martin J. see Roggenkamp, Klaus W., 92m:20008 

Trama, Poonam see Luthar, I. S., 92g:20003 

Weiss, Alfred R. Torsion units in integral group rings. 92¢:20009 





16U70 Center, normalizer (invariant elements) 


Sugano, Kozo On the bicommutators of modules over H-separable extension rings. (see 
92i:16002) 





16U70 


Items with secondary classifications in 16U70 

Abulkheir, Hamed E. (with Birkenmeier, Gary F.; Bourque, Anthony K.; Lee, Enoch K.) 
Localization with central units. 92f:16037a 

— (with Birkenmeier, Gary F.; Bourque, Anthony K.; Lee, Enoch K.) Corrigenda: 
“Localization with central units”. 92f:16037b 

Bell, Howard E. Commutativity results for semigroups in rings. 92f:16039 

Birkenmeier, Gary F. see Abulkheir, Hamed E.; et al., 92f:16037a and 92£:16037b 

Bourque, Anthony K. see Abulkheir, Hamed E.; et al., 92f:16037a and 92f:16037b 

BreSar, Matej On a generalization of the notion of centralizing mappings. 92f:16040 

Lee, Enoch K. see Abulkheir, Hamed E.; et al., 92f:16037a and 92f:16037b 


16U80 Generalizations of commutativity 


Abujabal, Hamza A. S. (with Khan, Mohd. Saeed) A commutativity result for rings. 
92:16038 

— (with Khan, Moharram A.; Khan, Mohd. Saeed) A commutativity theorem for one-sided 
s-unital rings. 92¢e:16024a 

— Commutativity of right s-unital rings with constraints on commutators. 92e:16025 

— A generalization of some commutativity theorems for rings. II. 92i:16028 

— A generalization of some commutativity theorems for rings. I. 92i:16027 

— Some commutativity results for rings. 92j:16020 

— Commutativity theorems for rings with constraints on commutators. 92j:16021 

— (with Khan, Mohd. Saeed) On commutativity of s-unital rings. 92g:16051 

— (with Khan, Mohd. Saeed) Results on commutativity of rings. 

— (with Khan, Moharram A.; Khan, Mohd. Saeed) Correction to: “A commutativity 
theorem for one-sided s-unital rings”. 92¢:16024b 

— Commutativity of rings under certain conditions. 

— (with Perié, Veselin) Commutativity of s-unital rings through a Streb result. (Serbo- 
Croatian summary) 92h:16033 

— Commutativity conditions of one-sided s-unital rings with certain constraints. 

— (with Khan, Mohd. Saeed) Some commutativity conditions for rings. (Serbo-Croatian 
summary) 

— (with Khan, Mohd. Saeed) Some commutativity theorems for rings via iteration. (Serbo- 
Croatian summary) 

— (with Obaid, Mustafa A.) Some commutativity theorems for right s-unital rings. 

— Commutativity of rings with constraints involving a subset. 

— Commutativity with polynomial constraints. 

— Commutativity conditions for rings. 

Abu-Khuzam, Hazar (with Bell, Howard E.; Yaqub, Adil) Commutativity of rings satisfying 
certain polynomial identities. 92d:16041 

Ali, Asma see Ashraf, Mohd.; et al., 92b:16072 

Asharf, Mohd On commutativity of rings with constraints on commutators. (Chinese 
summary) 

Ashraf, Mohd. (with Quadri, M. A.; Ali, Asma) On a commutativity property for rings. 
92b:16072 

— Some commutativity theorems for associative rings with constraints involving a nil subset. 
92j:16022 

Bell, Howard E. Commutativity results for semigroups in rings. 92:16039 

— Acriterion for commutativity of rings. 92b:16073 

— (with Klein, Abraham A.) On rings with Engel cycles. 92j:16023 

— see also Abu-Khuzam, Hazar; et al., 92d:16041 

BreSar, Matej On a generalization of the notion of centralizing mappings. 92f:16040 

Brewer, James W. (with Klingler, Lee) On the pole-shifting problem for noncommutative 
rings. 92m:16053 

Deng, Qing Commutativity conditions for semiprime rings. (Chinese. English summary) 

Fu, Chang Lin (with Yuan, Yong Jiu) The Bell theorem and commutativity of rings. 
(Chinese. English summary) 

— Commutative conditions for rings with f(x,y) €C. 

Gao, Wei Dong (with Li, Ke Xian) Commutativity conditions for Baer semisimple rings. 
(Chinese. English summary) 

Grosen, Julie (with Tominaga, Hisao; Yaqub, Adil) On weakly periodic rings, periodic 
rings and commutativity theorems. 92c:16035 

Guo, Hua Guang Two commutativity results for semiprime rings. 

Guo, Xiu Zhan Two commutativity results for semiprime rings. (Chinese summary) 

Gupta, R. N. (with Satya Rani, Arora) A commutativity theorem. (see 92m:00056) 

Herman, Ted On a theorem of Jacobson. (see 92i:68005) 

Khan, Moharram A. see Abujabal, Hamza A. S.; et al., 92e:16024a and 92¢e:16024b 

Khan, Mohd. Saeed see Abujabal, Hamza A. S.; et al., 92e:16024a; 92e:16024b; 92:16038; 
92g:16051 

Klein, Abraham A. see Bell, Howard E., 92j:16023 

Klingler, Lee see Brewer, James W., 92m:16053 

Komatsu, Hiroaki (with Nishinaka, Tsunekazu; Tominaga, Hisao) On commutativity of 
rings. (Serbo-Croatian summary) 92a:16041 

— (with Tominaga, Hisao) Commutativity theorems for rings with polynomial constraints 
on certain subsets. 92b:16074 

— (with Nishinaka, Tsunekazu; Tominaga, Hisao) A commutativity theorem for rings. 

— (with Nishinaka, Tsunekazu; Tominaga, Hisao) A commutativity theorem. 

Li, Ke Xian see Gao, Wei Dong; et al. 

Lin, Ché Hsiung The structure of a certain class of rings. 92i:16029 

Maurer, I. Gy. (with Szigeti, J.) On rings satisfying certain polynomial identities. 
92f:16041 

Misso, Paola Commutativity conditions on rings. 92g:16052 

Nishinaka, Tsunekazu A commutativity theorem for rings. (Serbo-Croatian summary) 
92a:16042 

— see also Komatsu, Hiroaki; et al., 92a:16041 

Obaid, Mustafa A. see Abujabal, Hamza A. S. 

Peri¢, Veselin see Abujabal, Hamza A. S., 92h:16033 

Quadri, M. A. see Ashraf, Mohd.; et al., 92b:16072 

Satya Rani, Arora see Gupta, R. N., (92m:00056) 


ASSOCIATIVE RINGS AND ALGEBRAS 


Szigeti, J. see Maurer, I. Gy., 92f:16041 

Tominaga, Hisao see Komatsu, Hiroaki; et al., 92a:16041; 92b:16074; Grosen, Julie; et al., 
92c:16035; Komatsu, Hiroaki; et al. 

Wang, Yu? On a commutativity theorem of Abu-Khuzam. 

Wei, Zong Xuan A theorem for finding derivations of prime rings. (Chinese. English 
summary) 92a:16043 

— A theorem on the anticommutativity of rings. (Chinese. English summary) 

Yaqub, Adil see Grosen, Julie; et al., 92c:16035 and Abu-Khuzam, Hazar; et al., 92d:16041 

Yen, Chéng Té On a theorem of Herstein. 92a:16044 

— On the commutativity and anticommutativity of rings. II. 92m:16054 

Yenigiil, M. Serif On commutativity of prime rings with (¢, t)-derivations. 92¢:16026 

Yuan, Yong Jiu see Fu, Chang Lin; et al. 

Zhang, Geng Chen Two theorems on commutativity of semiprime rings. (Chinese. English 
summary) 

Zhang, Gui Ming Fore-endomorphisms o and o-commutativity of rings. (Chinese. English 
summary) 

Zhang, Yang? Semiderivations and commutativity in prime rings. (Chinese. English 
summary) 

Items with secondary classifications in 16U80 

BreSar, Matej A note on derivations. 92g:16026 

Kapur, Deepak (with Zhang, Hantao) A case study of the completion procedure: proving 
ring commutativity problems. (see 92d:03002) 

Mathieu, Martin Posner’s second theorem deduced from the first. 92f:16045 

Zhang, Hantao see Kapur, Deepak, (92d:03002) 


16U99 None of the above, but in this section 


Items with secondary classifications in 16U99 


Daif, Mohamad Nagy When is a multiplicative derivation additive? 92f:16043 
Quinn, Declan Integral extensions of noncommutative rings. 92h:16025 


16Wxx Rings and algebras with additional structure 


16W10 Rings with involution: Lie, Jordan and other 
nonassociative structures [see also 17B60, 17C50, 46Kxx] 


Aburawash, Usama A. Semiprime involution rings and chain conditions. 92m:16055 

Marquez Hernandez, Concepcién M. (with Reyes Sanchez, Ma. Victoria) Product of 
nonsingular forms over rings with antistructure. (Spanish. English summary) (see 
92b:00044) 

Mauceri, Silvana Derivations in rings with involution. 92m:16056 

Misso, Paola A note on strongly Lie nilpotency. 92g:16053 

Nimbhorkar, S. K. see Thakare, N. K., 92d:16042 

Reyes Sanchez, Ma. Victoria see Marquez Hernandez, Concepcion M., (92b:00044) 

Sharma, Rajendra Kumar (with Srivastava, J. B.) On solvable Lie ideals of a ring. 
92£:16042 

Srivastava, J. B. see Sharma, Rajendra Kumar, 92f:16042 

Thakare, N. K. (with Nimbhorkar, S. K.) Prime strict ideals in Rickart *-rings. 92d:16042 


Items with secondary classifications in 16W10 

Cohen, Jo-Ann (with Koh, Kwangil) The subgroup generated by the involutions in a 
compact ring. 92g:16059 

D’Amour, Alain Jordan triple homomorphisms of associative structures. 92c:17046 

Duchamp, Gérard Orthogonal projection onto the free Lie algebra. 92e:17003 

Koh, Kwangil see Cohen, Jo-Ann, 92g:16059 

Kostrikin, Aleksei Ivanovich see Zel‘manoy, E. I., 92h:17007 

Lanski, Charles Differential identities of prime rings, Kharchenko’s theorem, and 
applications. 92k:16050 

Martindale, Wallace S., III (with Miers, C. Robert) Nilpotent inner derivations of the skew 
elements of prime rings with involution. 92k:16030 

McCrimmon, Kevin Martindale systems of symmetric quotients. 92b:16039 

Miers, C. Robert see Martindale, Wallace S., III, 92k:16030 

Munemasa, Akihiro (with Watatani, Yasuo) Paires orthogonales de sous-algébres 
involutives. (English summary) [Orthogonal pairs of *-subalgebras and association 
schemes] 92m:46090 

Van Praag, Paul Sur la norme réduite du déterminant de Dieudonné des matrices 
quaternioniennes. [On the reduced norm of the Dieudonné determinant of quaternion 
matrices] 92c:12003 

Watatani, Yasuo see Munemasa, Akihiro, 92m:46090 

Zalar, Borut On centralizers of semiprime rings. 92m:16031 

ZeVmanov, E.1. (with Kostrikin, Aleksei Ivanovich) A theorem on sandwich algebras. 
(Russian) 92h:17007 


16W20 Automorphisms and endomorphisms, actions of groups 
and semigroups and their fixed rings 


Al-Hamad, A. H. (with Bondarenko, A. A.; Borevich, Z. 1.) The normalizer of the group of 
“diagonal” automorphisms in algebras over a commutative ring. (Russian) 92g:16054 

Barker, George Phillip (with Kezlan, Thomas P.) Automorphisms of algebras of upper 
triangular matrices. 92d:16043 

Bondarenko, A. A. see Al-Hamad, A. H.; et al., 92g:16054 

Borevich, Z. 1. see Al-Hamad, A. H.; et al., 92g:16054 

BreSar, Matej Jordan mappings of semiprime rings. II. 92j:16024 

Daif, Mohamad Nagy When is a multiplicative derivation additive? 92f:16043 

Deng, Xin De see Szeto, George, 92d:16045 

Drenski, Veselin S. Automorphisms of relatively free algebras. 92a:16045 





289 1992 


Jondrup, S. The group of automorphisms of certain subalgebras of matrix algebras. 
92h:16034 

Kezlan, Thomas P. see Barker, George Phillip, 92d:16043 

Kishimoto, Kazuo! (with Nagahara, Takasi) On G-extensions of a semi-connected ring. 
92k:16049 

— see also Nagahara, Takasi, (92i:16002) 

Ma, Lin Jun (with Szeto, George) On Galois extensions of higher-degree-skew polynomial 
rings. 92d:16044 

(Montgomery, S.) see Parvathi, M., 92m:16057 

Nagahara, Takasi (with Kishimoto, Kazuo!) G-extensions and Galois theory of semi- 
connected rings. (see 92i:16002) 

— see also Kishimoto, Kazuo! , 92k:16049 

Parvathi, M. (with Sharma, Ram Parkash) A note on: “Algebraic analogs of the Connes 
spectrum” [J. Algebra 115 (1988), no. 1, 92-124; MR 89e:16001] by S. Montgomery and 
D.S. Passman. 92m:16057 

(Passman, D.S.) see Parvathi, M., 92m:16057 

Sharma, Ram Parkash see Parvathi, M., 92m:16057 

Szeto, George (with Deng, Xin De) Notes on central Galois algebras. 92d:16045 

— see also Ma, Lin Jun, 92d:16044 

Zhou, Bo Rong An Artin lemma for noncommutative rings. (Chinese) 


Items with secondary classifications in 16W20 

Al-Khamees, Yousif The group of automorphisms of finite chain rings. (Arabic summary) 
92a:16039 

— The determination of the group of automorphisms of a finite chain ring of characteristic 
p. 92k:16032 

Castella, D. Compressibilité des anneaux de groupes gauches et des anneaux de points fixes. 
[Compressibility of skew group rings and fixed-point rings] 92f:16035 

Chakrabarti, Ranabir (with Jagannathan, Ramaswamy) On the representations of GL,(7) 
using the Heisenberg-Weyl relations. 92f:17014 

Chang, Jui Chi A direct sum of division rings with a special automorphism. 92h:16016 

Clay, James R. Addition of algebra endomorphisms. 92g:16061 

Han, Juncheol Involutions in left Artinian rings. 92c:16021 

Jagannathan, Ramaswamy see Chakrabarti, Ranabir, 92f:17014 

Kikumasa, Isao Automorphisms of a certain skew polynomial ring of derivation type. 
92¢:16031 

Ma, Lin Jun see Szeto, George, 92e:16021 and 92g:16042 

Majid, Shahn Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, 
and the classical Yang-Baxter equations. 92b:46088 

Masuoka, Akira Existence of a unique maximal subcoalgebra whose action is inner. 
92h:16036 

Maxson, C. J. (with Smith, Kirby C.) Centralizer near-rings acting on SE-groups. 
92e:16035 

Quinn, Declan Integral extensions of noncommutative rings. 92h:16025 

Smith, Kirby C. see Maxson, C. J., 92e:16035 

Szeto, George (with Ma, Lin Jun) On Galois crossed-product with an inner Galois group. 
(Serbo-Croatian summary) 92g:16042 

— (with Ma, Lin Jun) On Galois projective group rings. 92¢:16021 

— (with Wong, Yuen-Fat) On automorphisms of skew polynomials. 92b:16065 

Wong, Yuen-Fat see Szeto, George, 92b:16065 

Yagzhev, A. V. Invertibility of endomorphisms of free associative algebras. (Russian) 
92g:16036 

Yen, Chéng Té On a theorem of Herstein. 92a:16044 


16W25 Derivations, actions of Lie algebras 


Beidar, K.I. (with Mikhalév, A. V.) Additive continuation of derivations of multiplicative 
semigroups. (Russian) 92c:16036 

Bell, Howard E. see Daif, Mohamad Nagy 

Bergen, Jeffrey Actions of solvable Lie algebras on rings with no nilpotent elements. 
92b:16075 

Chang, Jui Chi A note on (a, £)-derivations. 92m:16058 

Chuang, Chéng Liang (with Li, Ch’iu K’un) Invariance of minimal prime ideals under 
derivations. 92b:16076 

Daif, Mohamad Nagy (with Bell, Howard E.) Remarks on derivations on semiprime rings. 

Hirano, Yasuyuki On extensions of rings with finite additive index. 92f:16044 

Lanski, Charles Differential identities of prime rings, Kharchenko’s theorem, and 
applications. 92k:16050 

Li, Ch’iu K’un see Chuang, Chéng Liang, 92b:16076 

Liu, Xiao Dong The primary class of derivations for rings and the structure of rings. 
(Chinese. English summary) 

Mathieu, Martin Posner’s second theorem deduced from the first. 92f:16045 

Mikhalév, A. V. see Beidar, K. I., 92c:16036 

Trendafilov, I. D. Rings with nil derivations. (Bulgarian summary) 92b:16077 

Zhang, Yang? Derivations in a prime I-ring. (Chinese summary) 92i:16030 


Items with secondary classifications in 16W25 

BreSar, Matej On the distance of the composition of two derivations to the generalized 
derivations. 92b:46071 

— On a generalization of the notion of centralizing mappings. 92f:16040 

Choi, Soon-Man A note on separable algebras. 

Hassanein, A. M. Sur les anneaux semi-premiers différentiels 4 identité polynomiale. [On 
differential semiprime rings with polynomial identity] 92h:16021 

Hill, David Arneson Torsion modules over the ring of differential polynomials. 92b:16062 

Ikehata, Shiiichi see Okamoto, Hiroaki, 92d:16021 

Martindale, Wallace S., III (with Miers, C. Robert) Nilpotent inner derivations of the skew 
elements of prime rings with involution. 92k:16030 

Miers, C. Robert see Martindale, Wallace S., III, 92k:16030 

Mourre, E. Remarques sur le caractére algébrique du procédé pseudo-différentiel et de 
certaines de ses extensions. I. (English summary) [Remarks on the algebraic character of 


16W_ Rings and algebras with additional structure 


16W30 


the pseudodifferential procedure and some of its extensions. I] 92a:58139 

Okamoto, Hiroaki (with Ikehata, Shdichi) On H-separable polynomials of degree 2. 
92d:16021 

Wei, Zong Xuan A theorem for finding derivations of prime rings. (Chinese. English 
summary) 92a:16043 

Yenigiil, M. Serif On commutativity of prime rings with (c, t)-derivations. 92¢:16026 

Zalar, Borut On centralizers of semiprime rings. 92m:16031 

Zhang, Yang” Semiderivations and commutativity in prime rings. (Chinese. English 
summary) 


16W30 Coalgebras, bialgebras, Hopf algebras [see also 57T05, 
16S30-16S40}]; rings, modules, etc. on which these act 


Blanco Ferro, Antonio (with Ladra Gonzalez, Manuel; Ladra, Marcelino) Crossed H- 
module Hopf algebras. (Spanish) (see 92g:00024) 

Caenepeel, S. Computing the Brauer-Long group of a Hopf algebra. I. The cohomological 
theory. 92f:16046 

Cerlienco, Luigi (with Piras, Francesco) On the continuous dual of a polynomial bialgebra. 
92k:16051 

Chin, William Crossed products of semisimple cocommutative Hopf algebras. 92m:16059 

Demidov, E. E. Function algebras on quantum matrix supergroups. (Russian) 924:16046 

Dipper, Richard (with Donkin, Stephen) Quantum GL,. 92g:16055 

Doi, Yukio Hopf extensions of algebras and Maschke type theorems. 92b:16078 

Donkin, Stephen see Dipper, Richard, 92g:16055 

Drinfel’d, V.G. On quasitriangular quasi-Hopf algebras and on a group that is closely 
connected with Gal(Q/Q). (Russian) 92f:16047 

Grossman, Robert (with Larson, Richard Gustavus) Hopf-algebraic structure of combinato- 
rial objects and differential operators. 92b:16079 

Hazewinkel, Michiel Introductory recommendations for the study of Hopf algebras in 
mathematics and physics. 92h:16035 

Koelink, H. Tjerk On *-representations of the Hopf *-algebra associated with the quantum 
group U,(n). 92b:16080 

Koppinen, M. A Skolem-Noether theorem for coalgebra measurings. 92j:16025 

Ladra, Marcelino see Blanco Ferro, Antonio; et al., (92g:00024) 

Ladra Gonzalez, Manuel see Blanco Ferro, Antonio; et al., (92g:00024) 

Larson, Richard Gustavus (with Taft, Earl J.) The algebraic structure of linearly recursive 
sequences under Hadamard product. 92g:16056 

— see also Grossman, Robert, 92b:16079 

Majid, Shahn Matched pairs of Lie groups and Hopf algebra bicrossproducts. 92f:16048 

— More examples of bicrossproduct and double cross product Hopf algebras. 92b:16081 

— Doubles of quasitriangular Hopf algebras. 92k:16052 

Masuoka, Akira Existence of a unique maximal subcoalgebra whose action is inner. 
92h:16036 

— On Hopf algebras with cocommutative coradicals. 92k:16053 

Matczuk, Jerzy Centrally closed Hopf module algebras. 92i:16031 

Michaelis, Walter An example of a nonzero Lie coalgebra M for which Loc(M) = 0. 
92a:16046 

Montgomery, S. (with Smith, S. Paul) Skew derivations and U,(sI(2)). 92e:16027 

Ozawa, Tetsuya Quantization of a Poisson algebra and polynomials associated to links. 
92e:16028 

Piras, Francesco see Cerlienco, Luigi, 92k:16051 

Radford, David E. On the quasitriangular structures of a semisimple Hopf algebra. 
92)j:16026 

Rittenberg, Viadimir (with Scheunert, M.) Tensor operators for quantum groups and 
applications. 92k:16054 

Scheerer, Hans (with Schuch, Klaus) A remark on a formula of Zassenhaus. 92h:16037 

Scheunert, M. see Rittenberg, Viadimir, 92k:16054 

Schirrmacher, Arne Multiparameter R-matrices and their quantum groups. 92m:16060 

Schneider, Hans-Jirgen Principal homogeneous spaces for arbitrary Hopf algebras. 
92a:16047 

— Representation theory of Hopf Galois extensions. 92d:16047 

Schuch, Klaus see Scheerer, Hans, 92h:16037 

Shnider, Steven Bialgebra deformations. (French summary) 92e:16029 

Smith, S. Paul see Montgomery, S., 92e:16027 

Taft, Earl J. see Larson, Richard Gustavus, 92g:16056 

Takeuchi, Mitsuhiro Matric bialgebras and quantum groups. 92f:16050 

— A two-parameter quantization of GL(m) (summary). 92f:16049 

Tilborghs, Francis An anti-homomorphism for the Brauer-Long group. 92c:16037 

Ulbrich, K.-H. On Hopf algebras and rigid monoidal categories. 92e:16031 

— On modules induced or coinduced from Hopf subalgebras. 92¢e:16030 

Zhang, James J. H-algebras. 92g:16057 


Items with secondary classifications in 16W30 


Alonso Alvarez, José N. (with Fernandez Vilaboa, José M.) Galois H-objects over a triple in 
a closed category. (Spanish. English summary) (see 92m:00048) 

Andersen, Henning Haahr (with Polo, Patrick; Wen, Ke Xin) Representations of quantum 
algebras. 92e:17011 

Arnaudon, Daniel (with Chakrabarti, Amitabha) g-analogue of IU(n) for q a root of unity. 
92d:81062 

Artin, Michael (with Schelter, William F.; Tate, John) Quantum deformations of GL,. 
92i:17014 

Bellon, M. P. (with Maillard, Jean-Marie; Viallet, Claude-Michel) Infinite discrete 
symmetry group for the Yang-Baxter equations. Vertex models. 92i:82031 

Bergen, Jeffrey (with Cohen, Miriam; Fischman, Davida) Irreducible actions and faithful 
actions of Hopf algebras. 92g:16044 

Bowden, G. J. (with Martin, J. P. D.; Prandolini, M. J.) Nonsquare tensor algebra and 
applications in the NMR of multiply connected spin systems. I. 92m:81075a 

— (with Prandolini, M. J.) Nonsquare tensor algebra and applications in the NMR of 
multiply connected spin systems. II. 92m:81075b 

Burdik, C. (with Hlavaty, Ladislav) A two-parametric quantization of sl(2). 92j:17008 





16W30 


Burroughs, Nigel Relating the approaches to quantised algebras and quantum groups. 
92c:17018 

Cartier, Pierre Développements récents sur les groupes de tresses. Applications a la 
topologie et a l’algebre. [Recent developments on braid groups. Applications to top 
and algebra] 92d:20053 

Celeghini, Enrico (with Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco) The 
quantum Heisenberg group H(1),. 92c:17019 

— (with Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco) The three-dimensional 
Euclidean quantum group E(3), and its R-matrix. 92c:17020 

— (with Giachetti, Riccardo; Reiman, A. G.; Sorace, Emanuele; Tarlini, Marco) SO,(” + 
1,n — 1) asa real form of SO,(2,C). 92i:17016 

Chakrabarti, Amitabha see Arnaudon, Daniel, 92d:81062 

Chang, Zhe (with Chen, Wei; Guo, Han Ying; Yan, Hong) SUq,,~0(2) and SU,,,(2), the 
classical and quantum q-deformations of the SU(2) algebra. II. The Hopf algebra, the 
Yang-Baxter equation and multi-deformed algebraic structures. 92¢:81088 

Chen, Wei see Chang, Zhe; et al., 92e:81088 

Cheng, Yi! see Couture, Michel Josaphat; et al., 92c:82030 

Chin, William Spectra of smash products. 92g:16045 

Cohen, Miriam see Bergen, Jeffrey; et al., 92g:16044 

Couture, Michel Josaphat (with Cheng, Yi'; Ge, Mo Lin; Xue, Kang) New solutions of the 
Yang-Baxter equation and their Yang-Baxterization. 92c:82030 

— On some quantum R matrices associated with representations of U,(sl(2,C)) when q is a 
root of unity. 92¢:17022 

De Concini, Corrado (with Kac, Victor G.) Representations of quantum groups at roots of 
1. 92g:17012 

Demidov, E. E. Multiparameter quantum deformations of the group GL(n). (Russian) 
92k:17019 

Di Francesco, Ph. (with Zuber, J.-B.) SU(N) lattice integrable models and modular 
invariance. (see 92m:81271) 

Dijkgraaf, Robbert (with Pasquier, V.; Roche, Ph.) Quasi Hopf algebras, group cohomology 
and orbifold models. 92m:81238 

Dobrev, V. K. Singular vectors of quantum group representations for straight Lie algebra 
roots. 92m:17023 

van Driel, Peter see Fuchs, Jiirgen, 92a:81176 and 92j:81270 

Drinfel’d, V.G. Quasi-Hopf algebras and Knizhnik-Zamolodchikov equations. 92j:17011 

Faddeev, L. D. (with Reshetikhin, N. Yu.; Takhtadzhyan, L. A.) Quantum groups. (see 
92i:57011) 

— Quantum groups. 92f:17016 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Loop space homology of spaces 
of LS category one and two. 92b:55006 

— (with Halperin, Stephen; Thomas, Jean-Claude) Elliptic Hopf algebras. 92i:57033 

Fernandez Vilaboa, José M. see Alonso Alvarez, José N., (92m:00048) 

Fischman, Davida see Bergen, Jeffrey; et al., 92g:16044 

Flato, Moshé (with Sternheimer, Daniel) On a possible origin of quantum groups. 
92i:17019 

Floratos, Emmanuel G. Manin’s quantum spaces and standard quantum mechanics. 
92a:81074 

Floreanini, Roberto (with Leites, D. A.; Vinet, Luc) On the defining relations of quantum 
superalgebras. 92m:17010 

Frappat, L. (with Sorba, P.; Sciarrino, A.) q-fermionic operators and quantum exceptional 
algebras. 92b:17017 

Fuchs, Jiirgen (with van Driel, Peter) WZW fusion rules, quantum groups, and the modular 
matrix S. 92a:81176 

— (with van Driel, Peter) Fusion rule engineering. 92j:81270 

Furlan, Paolo (with Stanev, Yassen S.; Todorov, Ivan T.) Coherent state operators and n- 
point invariants for U,(sl(2)). 92h:81070 

Ge, Mo Lin see Couture, Michel Josaphat; et al., 92c:82030 and Sun, Chang Pu; et al., 
92m:17029 

Gerstenhaber, M. (with Schack, S. D.) The shuffle bialgebra and the cohomology of 
commutative algebras. 92e:13008 

Giachetti, Riccardo see Celeghini, Enrico; et al., 92c:17019; 92c:17020 and 92i:17016 

Giler, S. see Kunz, Jutta; et al., 92j:81331 

Granovskii, Ya. I. (with Zhedanov, A. S.; Lutsenko, I. M.) Quadratic algebras and 
dynamical symmetry of the Schrédinger equation. (Russian) 92g:81062 

Griffing, Gary The dual Friedrichs’ theorem. 92h:17002 

Grossman, Robert (with Larson, Richard Gustavus) The realization of input-output maps 
using bialgebras. 92k:93038 

Grimenfelder, Luzius Tangent cohomology, Hopf algebra actions and deformations. 
92a:16036 

Guadagnini, E. (with Martellini, Maurizio; Mintchev, M.) Link invariants from Chern- 
Simons theory. 92m:57010 

Guo, Han Ying see Chang, Zhe; et al., 92e:81088 

Halperin, Stephen see Félix, Yves; et al., 92b:55006 and 92i:57033 

Hayashi, Takahiro Quantum deformation of classical groups. 92m:17025 

Hennings, M. A. Hopf algebras and regular isotopy invariants for link diagrams. 92j:57003 

Hirschhorn, Philip S. (with Raphael, Louise Arakelian) Coalgebraic foundations of the 
method of divided differences. 92m:05012 

Hlavaty, Ladislav see Burdik, C., 92j:17008 

Hou, Bo Yu see Wei, Hua, 92a:82040 

Itoh, Takashi? (with Yamada, Yasuhiko) Exchange relations in Wess-Zumino-Novikov- 
Witten model and quantum groups. 92g:81174 

Jimbo, Michio Introduction to the Yang-Baxter equation. (see 92i:57011) 

Jing, Nai Huan On a trace of g-analog vertex operators. 92e:17032 

Juréo, Branislav Differential calculus on quantized simple Lie groups. 92k:58023 

Kac, Victor G. see De Concini, Corrado, 92g:17012 

Kachurik, I. I. (with Klimyk, A. U.) On Racah coefficients of the quantum algebra U,(su2). 
92a:33011 

Kaku, Michio * Strings, conformal fields, and topology. 92i:81288 

Kauffman, Louis H. From knots to quantum groups (and back). 92h:57009 

— From knots to quantum groups and back. 92b:57014 


1 
by 





ASSOCIATIVE RINGS AND ALGEBRAS 


1992 290 


Kirillov, A. N. (with Reshetikhin, N. Yu.) g-Weyl group and a multiplicative formula for 
universal R-matrices. 92¢:17023 

Klimyk, A. U. see Kachurik, I. I., 92a:33011 

Kosiniski, P. see Kunz, Jutta; et al., 92j:81331 

Kunz, Jutta (with Maslanka, P.; Giler, S.; Kosinski, P.) Quantum BRST cohomology. 
92j:81331 

Kupershmidt, Boris A. Conformally multiplicative Poisson structures in linear algebra and 
algebraic geometry. 92f:58011 

Larson, Richard Gustavus see Grossman, Robert, 92k:93038 

Lawrence, R. J. A universal link invariant. 92e:57013 

Leites, D. A. see Floreanini, Roberto; et al., 92m:17010 

Levendorskii, S. Z. (with Soibel/man, Ya. S.) Quantum group A... 92g:17017 

— (with Soibel’man, Ya. S.) Algebras of functions on compact quantum groups, Schubert 
cells and quantum tori. 92h:58020 

Levy, Dan Temperley Lieb algebras. (see 92m:81271) 

Li, Jing Fa see Sun, Chang Pu; et al., 92m:17029 

Lu, Zhi Cheng Quantum algebras on phase space. 92m:17027 

Latsenko, I. M. see Granovskii, Ya. I.; et al., 92g:81062 

Ma, Zhong Qi The spectrum-dependent solutions to the Yang-Baxter equation for quantum 
Eg, and E7. 92a:82036 

Maillard, Jean-Marie see Bellon, M. P.; et al., 92i:82031 

Majid, Shahn On q-regularization. 92¢:81159 

— Reconstruction theorems and rational conformal field theories. 92m:81257 

— Quasi-quantum groups as internal symmetries of topological quantum field theories. 
92i:81130 

Manin, Yu. I. * Topics in noncommutative geometry. 92k:58024 

— Quantum groups. 

Martellini, Maurizio see Guadagnini, E.; et al., 92m:57010 

Martin, J. P. D. see Bowden, G. J.; et al., 92m:81075a 

Maslanka, P. see Kunz, Jutta; et al., 92j:81331 

Masuda, Tetsuya (with Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; 
Ueno, Kimio) Representation of quantum groups. 924:46156 

Michaelis, Walter On the dual Lie coalgebra of the Witt algebra. (see 92f:81008) 

Mimachi, Katsuhisa see Masuda, Tetsuya; et al., 92d:46156 

Mintchev, M. see Guadagnini, E.; et al., 92m:57010 

Monks, Kenneth G. /o-torsion bounds in the cohomology of the Steenrod algebra. 
92¢:55019 

— Nilpotence and torsion in the cohomology of the Steenrod algebra. 92m:55023 

Nakagami, Yoshiomi see Masuda, Tetsuya; et al., 92d:46156 

Nichols, Warren D. The structure of the dual Lie coalgebra of the Witt algebra. 92d:17021 

Nomura, Masao Recursion relations for the Clebsch-Gordan coefficient of quantum group 
SU,(2). 92b:33055a 

— Representation functions d/,, of U[slg(2)] as wave functions of “quantum symmetric 
tops” and relationship to braiding matrices. 92¢:81097 

— Addendum to: “Recursion relations for the Clebsch-Gordan coefficient of quantum group 
SU,(2)”. 92b:33055b 

— Concepts of tensors in U,(sl(2)) and a van der Waerden method for quantum Clebsch- 
Gordan coefficients. 92f:17017 

Noumi, Masatoshi see Masuda, Tetsuya; et al., 92d:46156 

Ogievetskii,O. V. (with Wess, Julius) Relations between GLpq(2)’s. 92e:17017 

Pasquier, V. see Dijkgraaf, Robbert; et al., 92m:81238 

Pearce, Paul A. Temperley-Lieb operators and critical A-D-E models. 92b:82049 

Polo, Patrick see Andersen, Henning Haahr; et al., 92e:17011 

Prandolini, M. J. see Bowden, G. J.; et al., 92m:81075a and 92m:81075b 

Quinn, Declan Integral extensions of noncommutative rings. 92h:16025 

Raphael, Louise Arakelian see Hirschhorn, Philip S., 92m:05012 

Reiman, A. G. see Celeghini, Enrico; et al., 92i:17016 

Reshetikhin, N. Yu. (with Semenov-Tyan-Shanskii, M. A.) Quantum R-matrices and 
factorization problems. 92g:17019 

— Invariants of links and 3-manifolds related to quantum groups. (see 92m:00054) 

— see also Kirillov, A. N., 92c:17023 and Faddeev, L. D.; et al., (92i:57011) 

Roche, Ph. see Dijkgraaf, Robbert; et al., 92m:81238 

Rosso, Mare The universal R-matrix for the quantum SL(N)-group. 92k:17027 

Schack, S. D. see Gerstenhaber, M., 92e:13008 

Schelter, William F. see Artin, Michael; et al., 92i:17014 

Schirrmacher, Arne (with Wess, Julius; Zumino, Bruno) The two-parameter deformation of 
GL(2), its differential calculus, and Lie algebra. 92¢:17019 

— The multiparametric deformation of GL(n) and the covariant differential calculus on the 
quantum vector space. 92g:17020 

Schlieker, M. (with Scholl, Marcus) Spinor calculus for quantum groups. 92¢e:58019 

Schmeing, N.C. A Hopf algebra based on the Patera-Zassenhaus grading of A,. 92i:17023 

Schmidke, W. B. (with Vokos, S. P.; Zumino, Bruno) Differential geometry of the quantum 
supergroup GL,(1|1). 92g:58008 

Scholl, Marcus see Schlieker, M., 92e:58019 

Schiirmann, Michael Gaussian states on bialgebras. 92g:46069 

Sciarrino, A. see Frappat, L.; et al., 92b:17017 

Semenov-Tyan-Shanskii, M. A. see Reshetikhin, N. Yu., 92g:17019 

Sergeev, S. M. Spectral decomposition of R-matrices for exceptional Lie algebras. 
92e:17020 

Sidorov, Aleksandr Vasil‘evich Radicals of H-module algebras. (Russian) 92b:16040 

Smirnov, F. A. Quantum groups and generalized statistics in integrable models. 92a:81076 

Soibel/man, Ya. S. Gel/fand-Naimark-Segal states and Weyl groups for the quantum group 
SU(n). (Russian) 92:17019 

— see also Levendorskii, S. Z., 92g:17017 and 92h:58020 

Sorace, Emanuele see Celeghini, Enrico; et al., 92c:17019; 92c:17020 and 92i:17016 

Sorba, P. see Frappat, L.; et al., 92b:17017 

Stanev, Yassen S. see Furlan, Paolo; et al., 92h:81070 

Sternheimer, Daniel see Flato, Moshé, 92i:17019 

Sudbery, A. Noncommuting coordinates and differential operators. 92f:17020 





291 1992 


Sun, Chang Pu (with Lii, Jing Fa; Ge, Mo Lin) q-analogues of Verma representations of 
quantum algebras for q, a root of unity: the case of U,(sl(3)). 92m:17029 

Takhtadzhyan, L. A. see Faddeev, L. D.; et al., (92i:57011) 

Tanisaki, Toshiyuki Finite-dimensional representations of quantum groups. 92h:17019 

Tarlini, Marco see Celeghini, Enrico; et al., 92c:17019; 92c:17020 and 92i:17016 

Tate, John see Artin, Michael; et al., 92i:17014 

Thibon, Jean-Yves Hopf algebras of symmetric functions and tensor products of symmetric 
group representations. 92m:05201 

Thomas, Jean-Claude see Félix, Yves; et al., 92b:55006 and 92i:57033 

Todorov, Ivan T. see Furlan, Paolo; et al., 92h:81070 

Turaev, V.G. Algebras of loops on surfaces, algebras of knots, and quantization. (see 
92i:57011) 

Ueno, Kimio see Masuda, Tetsuya; et al., 924:46156 

Ulbrich, K.-H. Generalized crossed products and Azumaya algebras. 92a:16022 

de Vega, H. J. Yang-Baxter algebras and quantum groups. 92d:81066 

Viallet, Claude-Michel see Bellon, M. P.; et al., 92i:82031 

Vinet, Luc see Floreanini, Roberto; et al., 92m:17010 

Vokos, S. P. see Schmidke, W. B.; et al., 92g:58008 

Wei, Hua Structure constants of the quantum algebra and the Yang-Baxter relation for the 
Zn symmetric statistical model. (Chinese. English summary) 92a:82039 

— (with Hou, Bo Yu) Yang-Baxter equation, algebras and braid group for the Z,-symmetric 
statistical model. 92a:82040 

Wen, Ke Xin see Andersen, Henning Haahr; et al., 92e:17011 

Wess, Julius (with Zumino, Bruno) Covariant differential calculus on the quantum 
hyperplane. 92g:58011 

— see also Ogievetskii, O. V., 92e:17017 and Schirrmacher, Arne; et al., 92e:17019 

Witten, Edward Gauge theories, vertex models, and quantum groups. 92b:82051 

Xi, Nan Hua Finite-dimensional modules of some quantum groups over F,(v). 92b:17022 

Xue, Kang see Couture, Michel Josaphat; et al., 92c:82030 

Yamada, Yasuhiko see Itoh, Takashi*, 92g:81174 

Yamane, Hiroyuki Universal R-matrices for quantum groups associated to simple Lie 
superalgebras. 92h:17020 

Yan, Hong g-deformed oscillator algebra as a quantum group. 92a:81077 

— see also Chang, Zhe; et al., 92e:81088 

You, Han-Qin (with Zhou, Shan You) On the quantum R-matrix on a U,(sl(2,C))-module. 
92d:17017 

Zachos, Cosmas K. Paradigms of quantum algebras. (see 92g:81004) 

Zakrzewski, Stanislaw Matrix pseudogroups associated with anti-commutative plane. 
924:46177 

Zhang, R. B. Multiparameter dependent solutions of the Yang-Baxter equation. 92h:82042 

— Invariants of the quantum supergroup U,(gl(mm/1)). 92j:17017 

Zhedanov, A. S. see Granovskii, Ya. 1.; et al., 92g:81062 

Zhou, Shan You see You, Han-Qin, 92d:17017 

Zaber, J.-B. see Di Francesco, Ph., (92m:81271) 

Zamino, Bruno see Schirrmacher, Arne; et al., 92e:17019; Schmidke, W. B.; et al., 92g:58008 
and Wess, Julius, 92g:58011 


16W50 Graded rings and modules 


Asensio, Maria Jesus (with Gomez Torrecillas, José; Torrecillas Jover, Blas) x-divisorially 
graded rings. (Spanish. English summary) (see 92m:00048) 

Chanyshev, A. D. Nilpotency of graded associative algebras. (Russian) 92b:16082 

Chen, Qing Hua? Some finiteness theorems for graded rings and graded modules. (Chinese. 
English summary) 92a:16048 

Fang, Hong Jin (with Stewart, Patrick) Radical theory for graded rings. 92k:16055 

Gil Trilles, Antoni Homogenization in G-graded rings, with G an ordered group. (Spanish) 
(see 92g:00024) 

Gomez Pardo, J. L. (with Nastasescu, Constantin) Relative projectivity, graded Clifford 
theory, and applications. 92k:16056 

Gémez Torrecillas, José see Asensio, Maria Jesus; et al., (92m:00048) 

Harris, Morton E. On extending projectives of finite group-graded algebras. 92h:16038 

Jespers, Eric Semigroup graded rings and Jacobson rings. 92c:16038 

Jendrup, S. Some remarks on affine group graded rings. 92c:16039 

Korkina, E. 1. (with Post, Gerhard; Roelofs, Marcel) Algébres graduées de type A. (English 
summary) [Graded algebras of type A] 92m:16061 

Li, Hui Shi (with Van Oystaeyen, Freddy; Wexler-Kreindler, E.) Zariski rings and flatness 
of completion. 92d:16048 

— (with Van Oystaeyen, Freddy) Dehomogenization of gradings to Zariskian filtrations and 
applications to invertible ideals. 92h:16039 

Liu, Shao Xue Structure of graded primitive rings. 92m:16062 

Marubayashi, Hidetoshi (with Miyamoto, Haruo) Prime ideals in strongly graded rings by 
polycyclic-by-finite groups. (see 92i:16002) 

— (with Miyamoto, Haruo) Prime ideals in strongly graded rings by polycyclic-by-finite 
groups. 92m:16063 

Menini, Claudia (with Nastasescu, Constantin) gr-simple modules and gr-Jacobson radical 
applications. I. 92b:16083 

— (with Nastasescu, Constantin) gr-simple modules and gr-Jacobson radical applications. 
Il. 92b:16084 

Mikhovski, S. V. Central algebraic elements of strongly group-graded rings. 92b:16085 

Miyamoto, Haruo see Marubayashi, Hidetoshi, 92m:16063 and (92i:16002) 

Nastasescu, Constantin see Menini, Claudia, 92b:16083; 92b:16084 and Gomez Pardo, J. L., 
92k:16056 

Parvathi, S. Prime torsion theories of rings with finite group actions, group graded rings and 
their smash products. 92m:16064 

Post, Gerhard see Korkina, E. I.; et al., 92m:16061 

Roelofs, Marcel see Korkina, E. I.; et al., 92m:16061 

Saorin Castano, M. Microlocal properties of filtered rings. 92¢:16032 

— Descending chain conditions for graded rings. 92i:16032 

Stewart, Patrick see Fang, Hong Jin, 92k:16055 

Torrecillas Jover, Blas see Asensio, Maria Jesus; et al., (92m:00048) 


16W_ Rings and algebras with additional structure 


Van Oystaeyen, Freddy see Li, Hui Shi; et al., 92d:16048 and 92h:16039 

Watanabe, Keiichi Regular Z-graded rings. 92b:16086 

Wexler-Kreindler, E. see Li, Hui Shi; et al., 92d:16048 

Yu, Yao Ming Self-injectivity of smash products. (Chinese. English summary) 92g:16058 
— Graded locally nilpotent radicals of graded rings. (Chinese. English summary) 

Zhou, Bo Rong Two Clifford’s theorems for strongly group-graded rings. 92f:16051 


Items with secondary classifications in 16W50 

Artin, Michael (with Tate, John; Van den Bergh, Michel) Some algebras associated to 
automorphisms of elliptic curves. 92e:14002 

Beattie, M. A. (with Liu, Shao Xue; Stewart, Patrick) Comparing graded versions of the 
prime radical. 92k:16028 

Belzner, Th. (with Burgess, W. D.; Fuller, Kent R.; Schulz, Rainer) Examples of ungradable 
algebras. 92¢:16020 

Bjork, J.-E. (with Ekstrém, E. K.) Filtered Auslander-Gorenstein rings. 92d:16017 

Burgess, W. D. see Belzner, Th.; et al., 92c:16020 

Chen, Chang Nan (with Zhu, Bin) Ideal lattices of a class of subrings of complete matrix 
rings over strongly graded rings. (Chinese. English summary) 

Chen, Qing Hua? Finiteness conditions for the smash product. (Chinese. English summary) 

Ekstrém, E. K. see Bjork, J.-E., 92d:16017 

Fuller, Kent R. see Belzner, Th.; et al., 92c:16020 

Gordon, Robert A characterization of G-categories G-equivalent to the G-category of graded 
modules over a generalized G-graded algebra. 92m:18014 

Ho, Yue-chan P. The preservation of the semiprime Goldie property by strong semilattice 
sums. 92f:16029 

Ion, Ion D. (with Nita, Constantin) Graded ultraproducts. 92i:03032 

Jespers, Eric (with Puczylowski, Edmund R.) The Jacobson and Brown-McCoy radicals of 
rings graded by free groups. 92b:16038 

Kelarev, A. V. Radical classes and band sums of associative algebras. (Russian) 92d:16026 

— The structure of radicals in algebras that are graded by semigroups. (Russian) 92b:16034 

— Hereditary radicals and bands of associative rings. 92k:16031 

Kirillov, A. A. (with Pak, I. M.) Covariants of the symmetric group and its analogues in A. 
Weil algebras. (Russian) 92c:20027 

Li, Hui Shi Note on pure module theory over Zariskian filtered ring and the generalized 
Roos theorem. 92d:16049 

Liu, Shao Xue see Beattie, M. A.; et al., 92k:16028 

Lupton, Gregory Algebras realized by n rational homotopy types. 92f:55015 

Menini, Claudia (with del Rio Mateos, Angel) Morita duality and graded rings. 92j:16006 

Nita, Constantin see Ion, Ion D., 92i:03032 

Pak, I. M. see Kirillov, A. A., 92c:20027 

Puczylowski, Edmund R. see Jespers, Eric, 92b:16038 

del Rio Mateos, Angel Graded rings and equivalences of categories. 92d:16011 

— see also Menini, Claudia, 92)j:16006 

Schulz, Rainer see Belzner, Th.; et al., 92c:16020 

Stewart, Patrick see Beattie, M. A.; et al., 92k:16028 

Tate, John see Artin, Michael; et al., 92e:14002 

Torrecillas Jover, Blas (with Van Oystaeyen, Freddy) On M-sequences associated to 
filtrations. 92¢:13009 

Ufnarovskii, V. A. Combinatorial and asymptotic methods in algebra. (Russian) 92h:16024 

Van den Bergh, Michel see Artin, Michael; et al., 92e:14002 

Van Oystaeyen, Freddy see Torrecillas Jover, Blas, 92c:13009 

Zeng, Qiang Vanishing of Hochschild’s cohomologies H'(A @ A) and gradability of a local 
commutative algebra A. 92b:16015 

Zhu, Bin see Chen, Chang Nan; et al. 


16W55 “Super” (or “skew”) structure [see also 17A70, 17B70, 
17C70] {For exterior algebras, see 15A75; for Clifford 
algebras, see 11E88, 15A66.} 


Items with secondary classifications in 16W55 

Hlavaty, Ladislav Two-dimensional quantum spaces corresponding to solutions of the Yang- 
Baxter equations. 92g:17014 

Huang, Rosa Q. (with Rota, Gian-Carlo; Stein, Joel A.) Supersymmetric bracket algebra 
and invariant theory. 92h:15017 

Khrennikov, A. Yu. Pseudotopological commutative superalgebras with nilpotent souls. 
(Russian) 924:58024 

Kirillov, A. A. (with Pak, 1.M.) Covariants of the symmetric group and its analogues in A. 
Weil algebras. (Russian) 92c:20027 

Nazarov, M. L. Quantum Berezinian and the classical Capelli identity. 92b:17020 

Pak, I. M. see Kirillov, A. A., 92c:20027 

Pestov, V.G. Nonstandard hulls of normed Grassmann algebras and their applications in 
superanalysis. (Russian) 92f:58020 

Rota, Gian-Carlo see Huang, Rosa Q.; et al., 92h:15017 

Stein, Joel A. see Huang, Rosa Q.; et al., 92h:15017 

Zolotykh, A. A. Trace identities of matrix superalgebras with involution. (Russian) 
92a:17031 


16W60 Filtrations and valuations, generalizations of Euclidean 
algorithm, completions, formal power series and related 
constructions [see also 13Jxx] 


Asensio, Maria Jesus (with Torrecillas Jover, Blas) Algebraic microlocalization. (Spanish. 
English summary) (see 92b:00044) 

Forster, Arved Zur Theorie einseitig euklidischer Ringe. III. (English and Russian 
summaries) [On the theory of one-sided Euclidean rings. III] 92f:16052 

Li, Hui Shi Note on nure module theory over Zariskian filtered ring and the generalized 
Roos theorem. 924:16049 

Torrecillas Jover, Blas see Asensio, Maria Jesus, (92b:00044) 





16W60 


Items with secondary classifications in 16W60 

Alajbegovi¢, Jusuf H. (with Dubrovin, N. I.) Noncommutative Prifer rings. 92b:16019 

Bjork, J.-E. (with Ekstrém, E. K.) Filtered Austander-Gorenstein rings. 92d:16017 

Dubrovin, N. I. see Alajbegovi¢, Jusuf H., 92b:16019 

Ekstrém, E. K. see Bjork, J.-E., 92d:16017 

Grater, Joachim The “Defektsatz” for central simple algebras. 92f:16018 

Hill, David Arneson Torsion modules over the ring of differential polynomials. 92b:16062 

Li, Hui Shi (with Van Oystaeyen, Freddy) Dehomogenization of gradings to Zariskian 
filtrations and applications to invertible ideals. 92h:16039 

Liepold, Frank Zur Vervollstandigung bewerteter Schiefkérper. [On the completion of 
valued skew fields] 92c:12009 

Torrecillas Jover, Blas (with Van Oystaeyen, Freddy) On M-sequences associated to 
filtrations. 92c:13009 

Trendafilov, I. D. Rings with nil derivations. (Bulgarian summary) 92b:16077 

Van Oystaeyen, Freddy see Torrecillas Jover, Blas, 92c:13009 and Li, Hui Shi, 92h:16039 

Wiedemann, Alfred A construction of orders of finite global dimension. 92d:16023 


16W80 Topological and ordered rings and modules 
[see also 13Jxx] 


Cohen, Jo-Ann (with Koh, Kwangil) The subgroup generated by the involutions in a 
compact ring. 92g:16059 

— (with Koh, Kwangil) The structure of compact rings. 92m:16065 

El Miloudi, Marhrani see Mohamed, Aamri, 92k:16057 

Gregorio, Enrico On a class of linearly compact rings. 92f:16053 

Koh, Kwangil see Cohen, Jo-Ann, 92g:16059 and 92m:16065 

Leung, Ka Hin A construction of an ordered division ring with a rank one valuation. 
92b:16087 

Ma, Jing Jing On lattice-ordered rings with polynomial constraints. (Chinese. English 
summary) 92g:16060 

Mohamed, Aamri (with El Miloudi, Marhrani) Les S-anneaux et propriétés de tonnelage 
dans les modules topologiques. (English summary) [S-rings and barrelledness in 
topological modules] 92k:16057 

Ursul, M.1I. Splitting off of a radical in commutative topological rings that are close to 
compact. (Russian) 92e:16033 

Xu, Bang Teng Stability of linear topologies over Noetherian rings. (Chinese. English 
summary) 


Items with secondary classifications in 16W80 

Asensio Mayor, J. Complementary modules with respect to a Gabriel topology. (Spanish) 
(see 92g:00024) 

Bhattacharya, D. K. (with Maity, A. K.) Semilinear tensor product of '-Banach algebras. 
92m:46072 

Colpi, Riccardo (with Gregorio, Enrico; Orsatti, Adalberto) The basic ring of a locally 
Artinian commutative Grothendieck category. 92g:18008 

Gregorio, Enrico Classical Morita equivalence and linear topologies; applications to quasi- 
dualities. 92a:16007 

— see also Colpi, Riccardo; et al., 92g:18008 

Maity, A. K. On representation of !-Banach algebra. 92m:46071 

— see also Bhattacharya, D. K., 92m:46072 

Mohamed, Saad H. (with Miiller, Bruno J.) * Continuous and discrete modules. 
92b:16009 

Mulero Diaz, Ma. Angeles Flatness criterion for C(X) modules. (Spanish. English 
summary) (see 92m:00050) 

Miller, Bruno J. see Mohamed, Saad H., 92b:16009 

Orsatti, Adalberto see Colpi, Riccardo; et al., 92g:18008 

Peters, Justin R. (with Poon, Yiu Tung) Invariants for triangular AF algebras. 92j:47081 

Poon, Yiu Tung see Peters, Justin R., 92j:47081 

Power, S.C. Refinement theory for nonselfadjoint operator algebras. 92b:47067 

Redfield, R. H. Banaschewski functions and ring-embeddings. 92g:06029 

del Rio Mateos, Angel (with Saorin Castafio, M.) Dualities and dimensions of endomor- 
phism rings. 92k:16004 

Saorin Castaiio, M. see del Rio Mateos, Angel, 92k:16004 

Stavrakas, G. A. Cohomology theory on noncommutative algebras of continuous functions. 
92:46109 

Wodzicki, Mariusz Resolution of the cohomology comparison problem for amenable 
Banach algebras. 92k:46121 

Zakharov, Valerii Konstantinovich Borel cover and Borel extension. 92i:54024 


16Yxx Generalizations {For nonassociative rings, see 
17-xx.} 


16Y30 Near-rings [see also 12K05] 


Abbasi, S. J. (with Meldrum, J. D. P.; Meyer, J. H.) The Jo-radical of matrix near-rings. 
92a:16049 

Benini, A. (with Pellegrini Manara, Silvia) Near-rings with left and right self-distributive 
multiplication. 92a:16050 

— (with Pellegrini Manara, Silvia) Medial and permutable near rings. (Italian summary) 
92c:16040 

— (with Pellegrini Manara, Silvia) Errata to: “Near-rings with left and right self-distributive 
multiplication” [Pure Math. Appl. Ser. A 1 (1990), no. 2, 117-127; MR 92a:16050]. 

Birkenmeier, Gary F. (with Heatherly, Henry) Medial and distributively generated near- 
rings. 92a:16051 

— (with Heatherly, Henry) Permutation identity near-rings and “localized” distributivity 
conditions. 92m:16066 

— (with Heatherly, Henry) Minimal ideals in near-rings. 92m:16067 


ASSOCIATIVE RINGS AND ALGEBRAS 1992 


Booth, G. L. (with Groenewald, N. J.) On primeness in matrix near-rings. 92¢:16034 

— Equiprime infra-near-rings. 92f:16054 

— Notes on Brown-McCoy-radicals for I’-near-rings. 92m:16068 

— Radicals in general I’-near-rings. 92f:16055 

— (with Groenewald, N. J.; Veldsman, Stefan) Strongly equiprime near-rings. 92m:16069 

Chowdhury, K.C. (with Masum, A.) A note on regular left Goldie near-rings. 

Clay, James R. Addition of algebra endomorphisms. 92g:16061 

DaSi¢, Vutié Hypernear-rings. 92i:16033 

De Stefano, Stefania (with Di Sieno, Simonetta) Semiprime near-rings. 92f:16056 

Di Sieno, Simonetta see De Stefano, Stefania, 92f:16056 

Fong, Y. On the structure of abelian syntactic near-rings. 92d:16050 

— (with Pilz,G.) Near-rings generated by semi-endomorphisms of groups. 92k:16058 

Fuchs, Peter Rudolf (with Maxson, C. J.) Centralizer near-rings determined by PID- 
modules. 92a:16052 

Groenewald, N. J. Different prime ideals in near-rings. 92m:16070 

— see also Booth, G. L., 92e:16034 and 92m:16069 

Gutiérrez, Jaime G. The ring of the distributive elements in near-rings of formal power 
series. (see 92g:00024) 

— (with Ruiz de Velasco y Bellas, Carlos) Ideals in the near-ring Z[X] of polynomials. 
(Spanish. English summary) (see 92b:00044) 

— A note on indecomposable elements in the near-rings of formal power series. 92c:16041 

Heatherly, Henry (with Pilz,G.) On the structure of tame near-rings. 92a:16053 

— see also Birkenmeier, Gary F., 92a:16051; 92m:16066 and 92m:16067 

Hongan, Motoshi On near-rings with derivation. 92c:16042 

Hussain, Imdad On characterizing complete quasi near-fields. 

Jayaram, C. (with Rajkumar, L. Johnson) Strongly regular near-rings. I, II. 92f:16057 

Jones, Patricia Zero square near-rings. 92i:16034 

Kaarli, Kalle On minimal ideals of distributively generated near-rings. 92i:16035 

Lajos, S. Notes on zero-symmetric near-rings. 92g:16062 

Masum, A. see Chowdhury, K. C. 

Maxson, C. J. (with van der Walt, A. P. J.) Centralizer near-rings over free ring modules. 
92a:16054 

— (with Smith, Kirby C.) Centralizer near-rings acting on SE-groups. 92¢:16035 

— see also Fuchs, Peter Rudolf, 92a:16052 

Meldrum, J.D. P. (with Meyer, J. H.) Modules over matrix near-rings and the .%-radical. 
92g:16063 

— see also Abbasi, S. J.; et al., 92a:16049 

Meyer, J. H. see Abbasi, S. J.; et al., 92a:16049 and Meldrum, J. D. P., 92g:16063 

Murthy, Ch. Krishna see Yugandhar, K., 92e:16036 

Murty, C. V.L.N. see Reddy, Y. V., 92i:16036 

Mutter, Wolfgang Left ideals in the near-ring of affine transformations. 92b:16088 

— Maximal left ideals in near-rings of continuous functions on disconnected groups. 
92c:16043 

Pellegrini Manara, Silvia see Benini, A., 92a:16050and 92c:16040 

Perié, Veselin (with Vukovi¢, Veljko) On nonassociative left near-rings with certain 
descending chain condition property. (Serbo-Croatian summary) 

Peterson, Gary Lee Weakly tame near-rings. 92d:16051 

Pilz, G. see Heatherly, Henry, 92a:16053 and Fong, Y., 92k:16058 

Rajkumar, L. Johnson see Jayaram, C., 92f:16057 

Reddy, Y. V. (with Murty, C. V.L.N.) Regular IFP near-rings. 92i:16036 

Ruiz de Velasco y Bellas, Carlos see Gutiérrez, Jaime G., (92b:00044) 

Satyanarayana, Bhavanari On finite spanning dimension in N-groups. 92f:16058 

Smith, Kirby C. (with van Wyk, Leon) Semiendomorphisms of simple near-rings. 
92i:16037 

— see also Maxson, C. J., 92e:16035 

Veldsman, Stefan An overnilpotent radical theory for near-rings. 92j:16027 

— see also Booth, G. L.; et al., 92m:16069 

Vukovié, Veljko see Peri¢, Veselin 

van der Walt, A. P. J. see Maxson, C. J., 92a:16054 

Wei, Zong Xuan An anticommutativity theorem for near-rings. (Chinese. English summary) 
92:16059 

van Wyk, Leon The 2-primitive ideals of structural matrix near-rings. 92f:16060 

— see also Smith, Kirby C., 92i:16037 

Xie, Kai Duan Dual isomorphisms of lattice-ordered near-rings and bilattice-ordered near- 
rings. (Chinese. English summary) 92g:16064 

Yakabe, Iwao Minimal quasi-ideals of near-rings. 92c:16044 

— Quasi-ideals in pseudo-distributive near-rings. 92c:16045 

— Regular duo elements of abstract affine near-rings. 92b:16089 

— Minimal quasi-ideals in abstract affine near-rings. II. 92j:16028 

Yugandhar, K. (with Murthy, Ch. Krishna) A note on injectivity of K-groups. 92¢:16036 

Zhang, Chang Ming Class of J-type radical for the weak-symmetric near-ring. (Chinese 
summary) 


Items with secondary classifications in 16Y30 


Behboud, A. Planare Abgeschlossenheit von Dicksonschen Fastkérpern und die Tiefe von 
Gruppenkopplungen. [Planar closure of Dickson near-fields and the depth of group 
couplings] 92k:12006 

Benini, A. (with Pellegrini Manara, Silvia) Invariant series in universal algebras, Q-groups 
and near-rings. 92j:08003 

DaiSi¢, Vutié The Levitzki radical in n-ary near-algebras. (Serbo-Croatian summary) 
92c:16018 

Fuchs, Peter Rudolf On function algebras in which every congruence is determined by a 
filter. 92b:08002 

Hanson, Jill (with Kallaher, Michael J.) Finite Bol quasifields are nearfields. 92b:51024 

Kallaher, Michael J. see Hanson, Jill, 92b:51024 

Kerby, William A class of K T-nearfields closed with respect to planarity whose theory is not 
closed with respect to planarity. 92d:12016 

Mutter, Wolfgang Simplicity of near-rings of continuous functions. 92h:22011 

Pellegrini Manara, Silvia see Benini, A., 92j:08003 





293 1992 


Rutter, John W. Homotopy self-equivalence groups of unions of spaces: including Moore- 
spaces. 92¢e:55006 
Srinivas, T. A note on the radicals in a normed near-algebra. 92d:46132 


16Y60 Semirings [see also 12K10] 


Adhikari, M. R. see Sen, Mridul Kanti(92m:00056) 

Craven, Thomas C. Orderings on semirings. 92c:16046 

Dudnikov, P.1. (with Samborskii, S. N.) Endomorphisms of semimodules over semirings 
with idempotent operation. (Russian) 92k:16059 

Golan, Jonathan S. Semirings for the ring theorist. 92c:16047 

Hanumanthachari, J. (with Vasanthi, T.) Structure of certain classes of semirings. 
92a:16055 

Hebisch, U. (with Weinert, H. J.) Semirings without zero divisors. 92e:16037 

Samborskii, S. N. see Dudnikov, P. I., 92k:16059 

Sen, Mridul Kanti (with Adhikari, M. R.) Unitary ideals of additive inverse semiring. (see 
92m:00056) 

— (with Adhikari, M. R.) On k-ideals of semirings. 

Vasantha, W. B. On pre J-group semi rings. 

Vasanthi, T. see Hanumanthachari, J., 92a:16055 

Weinert, H. J. see Hebisch, U., 92e:16037 


Items with secondary classifications in 16Y60 

Booth, G. L. T-rings and Kéthe’s problem. 92¢:16016 

— Notes on Brown-McCoy-radicals for I’-near-rings. 92m:16068 

— Radicals in general T-near-rings. 92f:16055 

Botha, S.G. (with Buys, A.) Nilpotency, solvability and radicals in categories. 92b:16001 

Buys, A. see Botha, S. G., 92b:16001 

Kuich, Werner Halbringe und ihre Anwendungen in der Automatentheorie. [Semirings and 
their applications in automata theory] 92k:68080 

— Automata and languages generalized to w-continuous semirings. 92b:68051 

Lenzi, Domenico A complete description of torsion (2, p)-semifields. (Italian summary) 
92a:20084 

Scully, Daniel J. Maximal rank-one spaces of matrices over chain semirings. I. u-spaces. 
92b:15029 


16Y99 None of the above, but in this section 


Booth, G. L. (with Groenewald, N. J.; Olivier, W. A.) A general type of regularity for I’- 
rings. 92m:16071 

Chen, Qing Hua? Exact sequences and homomorphism theorems for I’-rings. (Chinese. 
English summary) 

Chen, Wei Xin Unit elements in I-rings. (Chinese. English summary) 

— (with Zhang, Shou Chuan) The general theory of I’-rings and the Baer radical. (Chinese. 
English summary) 

— The relation between unit elements of I’-rings and unit elements of their operator rings. 
(Chinese) 

Du, Ben Fang Subdirectly irreducible generalized DQC-rings. (Chinese. English summary) 

Groenewald, N. J. (with Olivier, W. A.) A generalization of semi prime ideals in I’-rings. 
92m:16072 

— see also Booth, G. L.; et al., 92m:16071 

Olivier, W. A. see Booth, G. L.; et al., 92m:16071 and Groenewald, N. J., 92m:16072 

Perdew, Paul M. Near-good pseudoring modules are tensor products of ring modules. 

Spartalis, Stefanos (H, R)-hyperring. 92g:16065 

Zhang, Shou Chuan see Chen, Wei Xin; et al. 


Items with secondary classifications in 16Y99 


Abou-Zaid, Salah On fuzzy subnear-rings and ideals. 92k:16012 

Krieg, Aloys Associative triple systems of Hecke type. 92¢:16003 

Marchi, Mario On a new class of geometrical hyperstructures. 92b:20097 

Wang, Yao Radicals determined by almost strongly nilpotent I’-rings. (Chinese. English 
summary) 

Xi, Ou Gen The quasi-P-radicals of I’-rings and generalized I’-rings are Amitsur-Kurosh 
radicals. (Chinese. English summary) 92b:16042 


17-XX Nonassociative rings and algebras 


17-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 17-00 

McKay, W.G. (with Patera, J.; Rand, D. W.) * Tables of representations of simple Lie 
algebras. Vol. I. 92c:17015 

(Moody, Robert V.) see McKay, W. G.; et al., 92c:17015 

Patera, J. see McKay, W. G.; et al., 92c:17015 

Rand, D. W. see McKay, W. G.; et al., 92c:17015 


17-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Items with secondary classifications in 17-01 
Atiyah, Michael Francis The icosahedron. 92f:52001 


Bakhturin, Yu. A. * OcHoBHbie cTpyKTypbI CoppeMeHHoH asre6ppi. (Russian) [Basic 
structures of modern algebra] 92b:00001 


NONASSOCIATIVE RINGS AND ALGEBRAS 


17A01 


Goddard, Peter Representations of Kac-Moody and Virasoro algebras. (see 92b:81011) 


17-02 Research exposition (monographs, survey articles) 


Items with secondary classifications in 17-02 

Kass, Steven N. (with Moody, Robert V.; Patera, J.; Slansky, R.) * Affine Lie algebras, 
weight multiplicities, and branching rules. Vols. 1, 2. 92i:17034 

Moody, Robert V. see Kass, Steven N.; et al., 92i:17034 

Patera, J. see Kass, Steven N.; et al., 92i:17034 

Slansky, R. see Kass, Steven N.; et al., 92i:17034 


17-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Gragert, Peter K. H. (with Roelofs,G.H.M.) An implementation of tools for graded Lie- 
algebras in REDUCE. (see 92i:93004) 
Roelofs, G. H. M. see Gragert, Peter K. H., (92i:93004) 


Items with secondary classifications in 17-04 

Aksel’rod, I. R. (with Gerdt, V. P.; Kovtun, V. E.; Robuk, V. N.) * Construction of a Lie 
algebra by a subset of generators and commutation relations. 92a:17006 

Gerdt, V. P. see Aksel’rod, I. R.; et al., 92a:17006 

van den Hijligenberg, N. W. (with Post, Gerhard) Defining relations for Lie algebras of 
vector fields. 92h:17025 

Kausch, H. G. (with Watts,G.M.T.) A study of W-algebras using Jacobi identities. 
92d:17022 

Koseleff, Pierre-Vincent Jeux de mots dans les algébres de Lie libres: quelques bases et 
formules. [Word games in free Lie algebras: some bases and formulas] 92c:17006 

Kovtun, V. E. see Aksel'rod, I. R.; et al., 92a:17006 

Post, Gerhard see van den Hijligenberg, N. W., 92h:17025 

Robuk, V. N. see Aksel’rod, I. R.; et al., 92a:17006 

Watts, G. M. T. see Kausch, H. G., 92d:17022 


17-06 Proceedings, conferences, collections, etc. 


(Kass, Steven N.) see Infinite-dimensional Lie algebras and their applications, 92b:17001 
(Kawamoto, Naoki) see Nonassociative algebras and related topics, 92i:17001 
(Yamaguti, Kiyosi) see Nonassociative algebras and related topics, 92i:17001 


Items listed otherwise than by author 


Combinatorial aspects in representation theory and geometry * Combinatorial aspects in 
representation theory and geometry. 92m:17001 
Hiroshima * Nonassociative algebras and related topics. 92i:17001 
Infinite-dimensional Lie algebras and their applications * Infinite-dimensional Lie algebras 
and their applications. 92b:17001 
Montreal, PQ * Infinite-dimensional Lie algebras and their applications. 92b:17001 
Nonassociative algebras and related topics * Nonassociative algebras and related topics. 
92i:17001 
Symposium: 
Combinatorial Aspects in Representation Theory and Geometry * Combinatorial aspects 
in representation theory and geometry. 92m:17001 
Nonassociative Algebras and Related Topics * Nonassociative algebras and related topics. 
92i:17001 
Workshop: 
Infinite-dimensional Lie Algebras and their Applications * Infinite-dimensional Lie 
algebras and their applications. 92b:17001 


Items with secondary classifications in 17-06 

(Kuusk, Piret) see Quasigroups and nonassociative algebras in physics, 92m:00057 
(Léhmus, J.) see Quasigroups and nonassociative algebras in physics, 92m:00057 
(Lusanna, Luca) see Knots, topology and quantum field theories, 92h:81008 
(Sosinskii, A. B.) see Representation theory and dynamical systems, 92m:00030 
(Vershik, A. M.) see Representation theory and dynamical systems, 92m:00030 


Items listed otherwise than by author 


Florence * Knots, topology and quantum field theories. 92h:81008 

Knots, topology and quantum field theories * Knots, topology and quantum field theories. 
92h:81008 

Quasigroups and nonassociative algebras in physics * Ksa3urpynnbi H HeaccomMaTHBHbIe 
anre6ppi B du3uKe. (Russian) [Quasigroups and nonassociative algebras in physics] 
92m:00057 

Representation theory and dynamical systems * Representation theory and dynamical 
systems. 92m:00030 

Seminar: 

Quasigroups and Nonassociative Algebras in Physics * Kaa3urpynmbi 4 HeaccolMaTHBHBIe 
anre6psi B u3uxe. (Russian) [Quasigroups and nonassociative algebras in physics] 
92m:00057 

Tartu * Ksa3urpynnsi 4 HeaccoumaTuBHbie are6pbi B u3uKe. (Russian) [Quasigroups and 
nonassociative algebras in physics] 92m:00057 
Workshop: 

Current Problems in Particle Theory * Knots, topology and quantum field theories. 

92h:81008 


17Axx General nonassociative rings 


17A01 General theory 





17A01 


Items with secondary classifications in 17A01 
Pritchard, F. Leon Zero divisors in a nonassociative K-algebra. 92m:17007 


17A05 Power-associative 


Niemczyk, Rolf (with Walcher, Sebastian) Birational maps and a generalization of power- 
associative algebras. 92k:17001 
Walcher, Sebastian see Niemczyk, Rolf, 92k:17001 


Items with secondary classifications in 17A05 
Ouattara, Moussa Autour de la dupliquée. [On duplications of algebras] 92k:17051 


17A15 Noncommutative Jordan algebras 


Brown, Robert Bruce (with Hopkins, Nora C.) Noncommutative matrix Jordan algebras. 
92k:17002 

Elduque, Alberto On the color algebra. 92e:17001 

Hopkins, Nora C. Noncommutative matrix Jordan algebras from Lie algebras. 92a:17001 

— see also Brown, Robert Bruce, 92k:17002 


Items with secondary classifications in 17A15 

Essannouni, Hassane (with Kaidi, El Amin Mokhtar) Inversion dans les algébres flexibles 
normées completes. [Inversion in complete normed flexible algebras] 92d:46130 

Kaidi, El Amin Mokhtar see Essannouni, Hassane, 92d:46130 

Selarin, A. R.T. A short note on Bol algebra. 92e:17002 


17A20 Flexible algebras 


Lenzi, Domenico Steiner’s triple systems and a particular type of alternative or flexible 
algebras. (Italian summary) 92b:17002 


Items with secondary classifications in 17A20 

Elduque, Alberto (with Myung, Hyo Chul) Flexible composition algebras and Okubo 
algebras. 92c:17004 

Essannouni, Hassane (with Kaidi, El Amin Mokhtar) Inversion dans les algébres flexibles 
normées completes. [Inversion in complete normed flexible algebras] 92d:46130 

Grundhéfer, Theo Nonassociative division algebras admitting many derivations. 92c:17001 

Kaidi, E1 Amin Mokhtar see Essannouni, Hassane, 92d:46130 

Myung, Hyo Chul see Elduque, Alberto, 92c:17004 

Ng, Seong Nam (1,1) algebra with maximum condition. 92a:17053 


17A30 Algebras satisfying other identities 


Baeza-Vega, R. (with Catalan, A.; Costa, Roberto C. F.) Bernstein algebras with associative 
bilinear forms. 92m:17002 

Catalan, A. see Baeza-Vega, R.; et al., 92m:17002 

Costa, Roberto C. F. see Baeza-Vega, R.; et al., 92m:17002 

Hentzel, Irvin Roy (with Jacobs, David Pokrass) Proofs for nonidentities using characteris- 
tic functions. 92m:17003 

Jacobs, David Pokrass see Hentzel, Irvin Roy, 92m:17003 

Léhmus, J. (with Sorgsepp, L.) Ternary algebra of sedenions. (Russian summary) 
92m:17004 

Mikheev, P.O. On the theory of anticommutative algebras. (see 92f:53003) 

Solarin, A.R.T. A short note on Bol algebra. 92e:17002 

Sorgsepp, L. see Loéhmus, J., 92m:17004 


Items with secondary classifications in 17A30 

Benediktovich, I. 1. Polylinear identities of the pair (K2,sl2(K)) over a field of characteristic 
two. (Russian. English summary) 92i:17005 

Burguento, César (with Neuburg, Michael; Suazo, Avelino) Totally orthogonal Bernstein 
algebras. 92f:17042 

Elduque, Alberto On the color algebra. 92e:17001 

Neuburg, Michael see Burgueiio, César; et al., 92f:17042 

Ouattara, Moussa Sur les algébres de Bernstein d’ordre 2. (English summary) [On second- 
order Bernstein algebras] 92d:17031 

Suazo, Avelino see Burgueiio, César; et al., 92f:17042 

Walcher, Sebastian On Bernstein algebras which are train algebras. 92m:17055 


17A35 Division algebras 
Grundhéfer, Theo Nonassociative division algebras admitting many derivations. 92c:17001 


Items with secondary classifications in 17A35 

Amitsur, S. A. Galois splitting fields of a universal division algebra. 92k:16040 
Blunck, Andrea Cross-ratios in Moufang planes. 92j:51004 

Wene, G. P. On the multiplicative structure of finite division rings. 92b:12006 


17A36 Automorphisms, derivatives, other operators 


Elduque, Alberto Derivations of the color algebra. (Spanish. English summary) (see 
92b:00044) 


Items with secondary classifications in 17A36 

Brown, Robert Bruce (with Hopkins, Nora C.) Noncommutative matrix Jordan algebras. 
92k:17002 

Finston, David R. On the growth of nomial extensions. 92f:17002 

Grundhéfer, Theo Nonassociative division algebras admitting many derivations. 92c:17001 

Hopkins, Nora C. see Brown, Robert Bruce, 92k:17002 


Shaw, Ronald Ternary composition algebras. II. Automorphism groups and subgroups. 
92c:17002b 


NONASSOCIATIVE RINGS AND ALGEBRAS 


17A40 Ternary compositions 


Filippov, V. T. Envelopes of anticommutative triple systems and of 3-Lie algebras. (Russian) 
92k:17003 

— Enveloping algebras of triple systems. (see 92:53003) 

Hopkins, Nora C. Simplicity of Lie module triple’systems. 92i:17002 

Kantor, I. L. On the definition of a Freudenthal trilinear operation. (Russian) 92b:17003 

Sedldi, Viadimir Construction of a solvable ternary ring of type IV(2). (Czech. English 
summary) 92a:17002 

Shaw, Ronald Ternary composition algebras. I. Structure theorems: definite and neutral 
signatures. 92c:17002a 

— Ternary composition algebras. II. Automorphism groups and subgroups. 92c:17002b 

Zalar, Borut Triple systems. I. (Slovenian. English summary) 92m:17005 


Items with secondary classifications in 17A40 

Beckers, J. (with Debergh, N.) Lie structures in parasupersymmetric quantum mechanics. 
I. The standard supersymmetrization procedure. 92g:81054 

Debergh, N. see Beckers, J., 92g:81054 

Dorfmeister, Josef (with Neher, Erhard) Isoparametric triple systems with special Z- 
structure. 92h:53067 

Neher, Erhard see Dorfmeister, Josef, 92h:53067 


17A45 Quadratic algebras (but not quadratic Jordan algebras) 


Mukhin, E. E. Yang-Baxter operators and the noncommutative de Rham complex. 
(Russian) 92k:17004 
Stokes, Timothy Conjugate polynomials over quadratic algebras. 92k:17005 


Items with secondary classifications in 17A45 


Elduque, Alberto On the color algebra. 92¢:17001 

Freidel, L. (with Maillet, Jean-Michel) Quadratic algebras and integrable systems. 
92h:17013 

Fujii, Akira see Quano, Yas-Hiro, 92k:17026 

Granovskii, Ya. I. (with Zhedanov, A. S.; Lutsenko, I. M.) Quadratic algebras and 
dynamical symmetry of the Schrédinger equation. (Russian) 92g:81062 

Grundhéfer, Theo Nonassociative division algebras admitting many derivations. 92c:17001 

Lutsenko, I. M. see Granovskii, Ya. I.; et al., 92g:81062 

Maillet, Jean-Michel see Freidel, L., 92h:17013 

Quano, Yas-Hiro (with Fujii, Akira) Generalized Sklyanin algebra. 92k:17026 

Veselov, A. P. The growth of the number of images of a point under iterations of a 
multivalent mapping. (Russian) 92h:58095 

Zhedanov, A. S. see Granovskii, Ya. L.; et al., 92g:81062 


17A50 Free algebras 


Hentzel, Irvin Roy (with Jacobs, David Pokrass) A dynamic programming method for 
building free algebras. 92m:17006 
Jacobs, David Pokrass see Hentzel, Irvin Roy, 92m:17006 


17A60 Structure theory 


Pritchard, F. Leon Zero divisors in a nonassociative K-algebra. 92m:17007 
Wisbauer, Robert Modules and structure presheaves for arbitrary rings. 92g:17001 


Items with secondary classifications in 17A60 

Elduque, Alberto (with Montaner, Fernando) On mutations of associative algebras. 
92e:17049 

Montaner, Fernando see Elduque, Alberto, 92e:17049 

Shestakov, I. P. Simple Mal'tsev superalgebras. (Russian) 92k:17007 

Slin‘ko, A.M. Compact Lie rings. 92m:17036 


17A65_ Radical theory 


Beidar, K.I. (with Wiegandt, R.) Splitting theorems for nonassociative rings. 92a:17003 

Cuenca Mira, José Antonio (with Garcia Martin, Amable; Martin Gonzalez, Candido) On 
the .Y-radical of an associative pair and a Wedderburn-type theorem for associative triple 
systems. (Spanish. English summary) (see 92b:00044) 

Garcia Martin, Amable see Cuenca Mira, José Antonio; et al., (92b:00044) 

Martin Gonzalez, Candido see Cuenca Mira, José Antonio; et al., (92b:00044) 

Wang, Yao Radicals and semisimple classes of nonassociative nondistributive rings. 
(Chinese. English summary) 92a:17004 

Wiegandt, R. see Beidar, K. I., 92a:17003 


Items with secondary classifications in 17A65 
ZeV'manov, E. 1. Superalgebras and identities. 92f:17001 


17A70 Superalgebras 


Brini, Andrea (with Teolis, Antonio G. B.) Remark on the branching theorem and 
supersymmetric algebras. 92k:17006 

Czyz, Janusz On Lie supergroups and superbundles defined via the Baker-Campbell- 
Hausdorff formula. 92b:17004 

Debergh, N. On Clifford algebras and unitary Lie superalgebras. 92m:17008 

Defever, F. see Hasiewicz, Zbigniew; et al., 92i:17004 

Figueroa-O’Farrill, José M. (with Ramos, Eduardo) Classical N = 2 W-superalgebras and 
supersymmetric Gel/fand-Dickey brackets. 92m:17009 

Floreanini, Roberto (with Leites, D. A.; Vinet, Luc) On the defining relations of quantum 
superalgebras. 92m:17010 

Furutsu, Hirotoshi (with Nishiyama, Kyo) Classification of irreducible super-unitary 
representations of su(p,q/n). 92i:17003 





295 1992 


Gimnaydin, Murat On a one-parameter family of exotic superspaces in two dimensions. 
92m:17011 

Hasiewicz, Zbigniew (with Defever, F.; Troost, Walter) Nonassociative superconformal 
algebras. 92i:17004 

Kaplansky, Irving Z -graded algebras. 92a:17005 

Kobayashi, Yuji (with Nagamachi, Shigeaki) Characteristic functions and invariants of 
supermatrices. 92c:17003 

Leites, D. A. (with Serganova, V. V.) Metasymmetry and Volichenko algebras. 92b:17005 

— (with Serganova, V. V.) Models of representations of some classical supergroups. 
92j:17001 

— see also Floreanini, Roberto; et al., 92m:17010 

Nagamachi, Shigeaki see Kobayashi, Yuji, 92c:17003 

Nishiyama, Kyo see Furutsu, Hirotoshi, 92i:17003 

Palev, Tchavdar D. On the representations of the basic Lie superalgebras: Gel’fand Zetlin 
basis for sl(1,). 92g:17002 

Penkov, I. B. (with Serganova, V. V.) Generic irreducible representations of classical Lie 
superalgebras. 92m:17012 

Petrogradskii, V.M. Identities in the enveloping algebras for modular Lie superalgebras. 
92m:17013 

Ramos, Eduardo see Figueroa-O’Farrill, José M., 92m:17009 

Serganova, V. V. see Leites, D. A., 92b:17005; 92j:17001 and Penkov, I. B., 92m:17012 

Shestakov, I. P. Simple Mal'tsev superalgebras. (Russian) 92k:17007 

Su, Yu Cai A complete classification of indecomposable Harish-Chandra modules of the Lie 
superalgebra B(0, 1). 92m:17014 

Teolis, Antonio G. B. see Brini, Andrea, 92k:17006 

Troost, Walter see Hasiewicz, Zbigniew; et al., 92i:17004 

Vinet, Luc see Floreanini, Roberto; et al., 92m:17010 

Ze¥manov, E. 1. Superalgebras and identities. 92f:17001 


Items with secondary classifications in 17A70 

Aneva, B. A deformed quantum SU(2) superalgebra. 92e:17012 

Beckers, J. (with Debergh, N.) Lie structures in parasupersymmetric quantum mechanics. 
II. The spin-orbit coupling supersymmetrization procedure. 92g:81055 

— (with Debergh, N.) On colour superalgebras in parasupersymmetric quantum mechanics. 
92d:81046 

Bell, Allen D. (with Musson, Ian M.) Primitive factors of enveloping algebras of nilpotent 
Lie superalgebras. 92b:17013 

— Acriterion for primeness of enveloping algebras of Lie superalgebras. 92b:17014 


Benamor, Hédi (with Pinczon, Georges) Extensions of representations of Lie superalgebras. 


92c:17028 

Bergvelt, M. J. Defining equations for supergroup orbits in super Clifford modules. 
92a:17043 

Bracken, A. J. see Gould, M. D.; et al., 92b:17046 

Canoglu, Ahmet (with Gildogan, Bahri; Salihoglu, Selami) Nonlinear Schrédinger 
equations on super symmetric spaces related to Lie superalgebras A(m,n). 92j:58042 

Cao, Yu Fang see Pan, Feng, 92b:81053 

Chari, Vyjayanthi (with Pressley, Andrew N.) An application of Lie superalgebras to affine 
Lie algebras. 92c:17036 

Cortois, J. see Zinoun, A., 92b:17051 

Dai, Gui Sheng The gl(m, n) module structure of Agl(m,n). (Chinese) 92d:17029 

Debergh, N. see Beckers, J., 92d:81046 and 92g:81055 

Durand, Stéphane (with Vinet, Luc) Dynamical parasuperalgebras of parasupersymmetric 
harmonic oscillator, cyclotron motion and Morse Hamiltonians. 92b:81083 

Fradkin, E.S. (with Linetskii, V. Ya.) Quantization and cocycles on the supertorus and 
large-N limits for the classical Lie superalgebras. 92c:17043 

Gould, M. D. (with Jarvis, P. D.; Bracken, A. J.) Branching rules for a class of typical and 
atypical representations of gl(m|n). 92b:17046 

— (with Zhang, R. B.) Unitary representations of basic classical Lie superalgebras. 
92e:17042 

Giildogan, Bahri see Canoglu, Ahmet; et al., 92j:58042 

Hannabuss, Keith C. (with Weiss, Winfried R. E.) The structure and representations of a 
C*-algebra associated to the super-Poincaré group. 92a:46063 

Hughes, J. W. B. see Van der Jeugt, Joris; et al., 92b:17049 and 92g:17043 

Jarvis, P. D. see Gould, M. D.; et al., 92b:17046 

Kantor, I. L. Connection between Poisson brackets and Jordan and Lie superalgebras. 
92f:17040 

— The universal graded Lie algebra. 92j:17025 

Kholod, P. 1. (with Pakulyak, S. Z.) On the superextension of the Kadomtsev-Petviashvili 
equation and finite-gap solutions of Korteweg-de Vries superequations. 92b:58094 

Khrennikov, A. Yu. Pseudotopological commutative superalgebras with nilpotent souls. 
(Russian) 924:58024 

King, Daniel (with McCrimmon, Kevin) The Kantor construction of Jordan superalgebras. 
92j:17032 

King, Ronald Curtis see Van der Jeugt, Joris; et al., 92b:17049 and 92g:17043 

Korchemskii, G. P. * Parasupersymmetric spinning particle and topological gauge fields. 
92£:81205 

Leites, D. A. (with Minakhin, V. V.) New Lie superalgebras and mechanics—some of the 
unmissed opportunities of the supermanifold theory. 92j:17026 

van der Lende, E. D. (with Pijls, H.G.J.) Super Hamiltonian operators and Lie superalge- 
bras. 92e:58031 

Linetskii, V. Ya. see Fradkin, E. S., 92¢:17043 

Marcinek, Wladyslaw Generalized Lie algebras and related topics. I, II. 92i:17040 

McCrimmon, Kevin see King, Daniel, 92j:17032 

Minakhin, V. V. see Leites, D. A., 92j:17026 

Minnaert, Pierre (with Mozrzymas, Marek) On the superalgebras built from SO(3) tensor 
operators. 92j:17027 

Mozrzymas, Marek see Minnaert, Pierre, 92j:17027 

Musson, Ian M. see Bell, Allen D., 92b:17013 

Nazarov, M. L. Quantum Berezinian and the classical Capelli identity. 92b:17020 

Onishchik, A. L. Lie superalgebras of vector fields. 92g:17030 


17B Lie algebras 


17B01 


Pakulyak, S. Z. see Kholod, P. I., 92b:58094 

Palev, Tchavdar D. (with Stoilova, Nedjalka I.) Finite-dimensional representations of the 
Lie superalgebra gl(2/2) in a gl(2) © gi(2) basis. II. Nontypical representations. 92c:17044 

Pan, Feng (with Cao, Yu Fang) Matrix representation of Osp(2/2) in the U(1/1) basis. 
92b:81053 

Pijis, H. G. J. see van der Lende, E. D., 92e:58031 

Pinczon, Georges see Benamor, Hédi, 92c:17028 

Pressley, Andrew N. see Chari, Vyjayanthi, 92c:17036 

Quesne, C. Vector coherent state theory of the noncompact orthosymplectic superalgebras. 
I. General theory. 92g:17041 

— Vector coherent state theory of the noncompact orthosymplectic superalgebras. II. Some 
selected examples. 92g:17042 

Salihoglu, Selami see Canoglu, Ahmet; et al., 92j:58042 

Stoilova, Nedjalka I. see Palev, Tchavdar D., 92c:17044 

Thierry-Mieg, J. see Van der Jeugt, Joris; et al., 92b:17049 and 92g:17043 

Tsukada, Haruo Vertex operator superalgebras. 92b:17034 

Ustimenko, V. A. On embedding of some geometries and flag systems in Lie algebras and 
superalgebras. (Russian summary) 92b:17043 

Van der Jeugt, Joris Character formulae for irreducible representations of the Lie 
superalgebras sl(m/n). 92g:17044 

— (with Hughes, J. W. B.; King, Ronald Curtis; Thierry-Mieg, J.) Representations of 
sl(m/n) and their characters. 92g:17043 

— (with Hughes, J. W. B.; King, Ronald Curtis; Thierry-Mieg, J.) Character formulas for 
irreducible modules of the Lie superalgebras sl(m/n). 92b:17049 

— Character formulae for the Lie superalgebra C(n). 92b:17050 

Van Proeyen, Antoine Superconformal algebras. (see 92b:81011) 

Vinet, Luc see Durand, Stéphane, 92b:81083 

Weiss, Winfried R. E. see Hannabuss, Keith C., 92a:46063 

Yamane, Hiroyuki Universal R-matrices for quantum groups associated to simple Lie 
superalgebras. 92h:17020 

Zhang, R. B. see Gould, M. D., 92e:17042 

Zinoun, A. (with Cortois, J.) Pertinent statistics for describing a system of particles. 
92b:17051 

Zolotykh, A. A. Trace identities of matrix superalgebras with involution. (Russian) 
92a:17031 


17A75 Composition algebras 

Elduque, Alberto (with Myung, Hyo Chul) Flexible composition algebras and Okubo 
algebras. 92¢:17004 

Myung, Hyo Chul see Elduque, Alberto, 92c:17004 

Shaw, Ronald Ternary composition, neutral signature and Spin(3, 4). 92h:17001 


Items with secondary classifications in 17A75 

Shaw, Ronald Ternary composition algebras. I. Structure theorems: definite and neutral 
signatures. 92c:17002a 

— Ternary composition algebras. II. Automorphism groups and subgroups. 92c:17002b 


17A99 None of the above, but in this section 


Finston, David R. On the growth of nomial extensions. 92f:17002 

Silva Leite, Fatima (with SimGes, Carlota; Vitoria, José) Hypercomplex numbers and 
rotations. (see 92g:00024) 

Simées, Carlota see Silva Leite, Fatima; et al., (92g:00024) 

Vitéria, José see Silva Leite, Fatima; et al., (92g:00024) 


Items with secondary classifications in 17A99 


Sedlat, Viadimir Construction of a solvable ternary ring of type IV,,). (Czech. English 
summary) 92f:20086 


17Bxx Lie algebras {For Lie groups, see 22Exx.} 


Bauerle, G.G. A. (with de Kerf, E. A.) * Lie algebras. Part 1. 92c:17005 
de Kerf, E. A. see Bauerle, G. G. A., 92c:17005 


17B01 Identities, free Lie algebras 


Aksel’rod, I. R. (with Gerdt, V. P.; Kovtun, V. E.; Robuk, V. N.) * Construction of a Lie 
algebra by a subset of generators and commutation relations. 92a:17006 

Benediktovich, I. I. Polylinear identities of the pair (K2, sl2(K)) over a field of characteristic 
two. (Russian. English summary) 92i:17005 

Blessenohl, Dieter (with Laue, Hartmut) On the coefficients in the associative expansion of 
a Lie word. 92i:17006 

Drenski, Veselin S. Wild automorphisms of nilpotent-by-abelian Lie algebras. 92m:17015 

Duchamp, Gérard Orthogonal projection onto the free Lie algebra. 92e:17003 

Gerdt, V. P. see Aksel’rod, I. R.; et al., 92a:17006 

Griffing, Gary The dual Friedrichs’ theorem. 92h:17002 

Koseleff, Pierre-Vincent Jeux de mots dans les algébres de Lie libres: quelques bases et 
formules. [Word games in free Lie algebras: some bases and formulas] 92c:17006 

Kovtun, V. E. see Aksel'rod, I. R.; et al., 92a:17006 

Laue, Hartmut see Blessenohl, Dieter, 92i:17006 

Mishchenko, S. P. Growth of varieties of Lie algebras. (Russian) 92g:17003 

Robuk, V. N. see Aksel’rod, I. R.; et al., 92a:17006 

Vasilovskii, S. Yu. The basis of identities of a three-dimensional simple Lie algebra over an 
infinite field. (Russian) 92a:17007 


Items with secondary classifications in 17B01 


Berger, Roland Quantification de l’identité de Jacobi. (English summary) [Quantization of 
the Jacobi identity] 92f:17012 
Blessenohl, Dieter see Laue, Hartmut, 92c:20004 





17B01 


Bryant, Roger M. On the fixed points of a finite group acting on a free Lie algebra. 
92g:17023 

Duchamp, Gérard (with Krob, Daniel) Factorisations dans le monoide partiellement 
commutatif libre. (English summary) [Factorizations in the free partially commutative 
monoid] 92¢:20102 

Krob, Daniel see Duchamp, Gérard, 92c:20102 

Laue, Hartmut (with Blessenohl, Dieter) Symmetric groups and free Lie algebras. 
92c:20004 

Sauerbier, Gabriele Zur Konstruktion nilpotenter Lie-Algebren. (English and Russian 
summaries) [On the construction of nilpotent Lie algebras] 92e:17010 

Vazhenin, Yu. M. Critical theories of some classes of nonassociative rings. (Russian) 
92e:08006 


17B05 Structure theory 


Barannik, A. F. see Fushchich, V. I., 92e:17005 and 92¢:17006 

Benito Clavijo, M. Pilar Lie algebras in which the lattice formed by the ideals is a chain. 
92j:17002 

Chanyshev, A. D. Local finite-dimensionality of algebraic Lie algebras. (Russian) 
92g:17004 

Coleman, A. J. Cartan subalgebras of real simple Lie algebras. (see 92b:00042) 

Elduque, Alberto On the generators of a semisimple Lie algebra. (Spanish. English summary) 
(see 92g:00024) 

— On Lie algebras with a subalgebra of codimension one. 92e:17004 

Furuta, Hidekazu Lie algebras in which every soluble subalgebra is either abelian or almost- 
abelian. 92f:17003 

Fushchich, V.1I. (with Barannik, A. F.) Maximal subalgebras of rank n — 1 of the algebra 
AP(1,), and reduction of nonlinear wave equations. I. (Russian. Ukrainian summary) 
92e:17005 

— (with Barannik, A. F.) Maximal subalgebras of rank n — 1 of the algebra AP(1, 7), and 
reduction of nonlinear wave equations. II. (Russian. Ukrainian summary) 92e:17006 

Gein, A.G. * Anre6ppi Jin c orpaHnueHHaMa Ha noganre6ppl. (Russian) [Lie algebras with 
constraints on subalgebras] 92c:17007 

Grigore, D. R. (with Popp, Octavian T.) On the classification of Lie subalgebras and Lie 
subgroups. 92a:17008 

Grishkov, A. N. A new approach to classification of simple finite-dimensional Lie algebras. 
(see 92£:53003) 

Hirschbihl, Ralf Commutators in classical Lie algebras. 92a:17009 

Hofmann, Kari Heinrich Hyperplane subalgebras of real Lie algebras. 92d:17001 

Hou, Zi Xin (with Kang, Wei) Structures of Cartan groups of real simple Lie algebras. 
92d:17002 

Hussin, Véronique (with Winternitz, Pavel; Zassenhaus, Hans) Maximal abelian subalge- 
bras of o(n,C). (see 92:81008) 

Kang, Wei see Hou, Zi Xin, 92d:17002 

Kubo, Fujio Infinite-dimensional Lie algebras with null Jacobson radical. 92i:17007 

Meng, Dao Ji The complete Lie algebras with commutative nilpotent radicals. (Chinese) 
92£:17004 

Moneyhun, Kay (with Stitzinger, Ernest) Some finite varieties of Lie algebras. 92i:17008 

del Olmo, Mariano A. (with Rodriguez, Miguel A.; Winternitz, Pavel; Zassenhaus, Hans) 
Maximal abelian subalgebras of su(p,q). 92g:17005 

Pagon, Dusan On contractions of Lie algebras. 92a:17010 

Pham Hii’u Tiép A classification of the irreducible orthogonal decompositions of the simple 
complex Lie algebras of type B,,. 92m:17016 

Popp, Octavian T. see Grigore, D. R., 92a:17008 

Rodriguez, Miguel A. see del Olmo, Mariano A.,; et al., 92g:17005 

Stitzinger, Ernest see Moneyhun, Kay, 92i:17008 

Tasaki, Hiroyuki (with Umehara, Masaaki) An invariant on 3-dimensional Lie algebras. 
92i:17009 

Umehara, Masaaki see Tasaki, Hiroyuki, 92i:17009 

Weimar, Evelyn The three-dimensional real Lie algebras and their contractions. 92g:17006 

— Contraction of Lie algebra representations. 92k:17008 

Winternitz, Pavel see del Olmo, Mariano A.; et al., 92g:17005 and Hussin, Véronique; et al., 
(92f:81008) 

Yasukura, Osami On subalgebras of type A; in simple Lie algebras. 92c:17008 

Zaitsev, M. V. Special Lie algebras with maximality condition for abelian subalgebras. 
92£:17005 

Zassenhaus, Hans see del Olmo, Mariano A.; et al., 92g:17005 and Hussin, Véronique; et al., 
(92f:81008) 

Zhoshina, S. A. Multiplicative complexity of Lie algebras. (Russian) 92a:17011 

Zimmermann, Ulrike Invariante Kegel in Cartan-Algebren. [Invariant cones in Cartan 
algebras] 92h:17003 


Items with secondary classifications in 17B05 


Bauerle, G.G. A. (with de Kerf, E. A.) * Lie algebras. Part 1. 92c:17005 

Borcherds, Richard E. Central extensions of generalized Kac-Moody algebras. 92g:17031 

Dong, Rui-Tao (with Tam, Luen-Fai; Wong, Wing Shing; Yau, Stephen S.-T.) Structure and 
classification theorems of finite-dimensional exact estimation algebras. 92j:93125 

Dorr, Norbert Symmetric spaces and convex cones. 92k:53088 

Eggert, Anselm Uber Liesche Semialgebren. [On Lie semi-algebras] 92i:17027 

— Ashort course on the Lie theory of semigroups. II. Lie semialgebras. 92j:22003 

Hofmann, Karl Heinrich Lie groups and semigroups. 92b:22002 

— A short course on the Lie theory of semigroups. I. 92j:22002 

Hussin, Véronique (with Winternitz, Pavel; Zassenhaus, Hans) Maximal abelian subalge- 
bras of complex orthogonal Lie algebras. 92d:17009 

de Kerf, E. A. see Bauerle, G. G. A., 92c:17005 

Komrakov, B. P. * Primitive actions and the Sophus Lie problem. 

Neeb, Karl-Hermann A short course on the Lie theory of semigroups. III. Globality of 
invariant wedges. 92j:22004 

Tam, Luen-Fai see Dong, Rui-Tao; et al., 92j:93125 


NONASSOCIATIVE RINGS AND ALGEBRAS 


1992 296 


Vasilovskii, S. Yu. The basis of identities of a three-dimensional simple Lie algebra over an 
infinite field. (Russian) 92a:17007 

Winter, David J. The structure of symmetric Lie algebras. 92a:17029 

Winternitz, Pavel see Hussin, Véronique; et al., 92d:17009 

Wong, Wing Shing see Dong, Rui-Tao; et al., 92j:93125 

Yau, Stephen S.-T. see Dong, Rui-Tao; et al., 92j:93125 

Zassenhaus, Hans see Hussin, Véronique; et al., 92d:17009 


17B10 Representations, algebraic theory (weights) 


Bavula, V. V. Classification of simple sl(2)-modules and the finite-dimensionality of the 
module of extensions of simple sl(2)-modules. (Russian. Ukrainian summary) 92c:17009 

Berenshtein, A. D. (with Zelevinskii, A. V.) When is the multiplicity of a weight equal to 1? 
(Russian) 92a:17012 

Brylinski, Ranee Kathryn Twisted ideals of the nullcone. 92e:17007 

Cherednik, I. V. Quantum groups as hidden symmetries of classic representation theory. 
92h:17004 

Drozd, Yu. A. (with Ovsienko, S. A.; Futornyi, V. M.) The Harish-Chandra S- 
homomorphism and 6-modules generated by a semiprimitive element. (Russian. 
Ukrainian summary) 92d:17003 

Elduque, Alberto A note on modules for noncentral simple Lie algebras. 92c:17010 

Futornyi, V. M. Weighted sl(3)-modules generated by semiprimitive elements. (Russian. 
Ukrainian summary) 92j:17003 

— see also Drozd, Yu. A.; et al., 92d:17003 

Garcia-Escudero, Juan (with Lorente, Miguel) Highest weight unitary modules for 
noncompact groups and applications to physical problems. 92k:17009 

Gromov, N. A. The Gel’fand-Tsetlin representations of the unitary Cayley-Klein algebras. 
92¢:17011 

Gyoja, Akihiko Invariants, nilpotent orbits, and prehomogeneous vector spaces. 92k:17010 

Howe, Roger (with Umeda, Téru) The Capelli identity, the double commutant theorem, 
and multiplicity-free actions. 92j:17004 

Ismagilov, R. S. Finite-dimensional representations of the Lie algebra sl; X R?. (Russian) 
92b:17006 

— On finite-dimensional representations of the Lie algebra L = s!,(R)-R. 92k:17011 

Kass, Steven N. A recursive formula for characters of simple Lie algebras. 92c:17012 

Kent, Adrian (with Watts,G.M.T.) Signature characters for Az and Bz. 92j:17005 

Knyr, V. A. see Smirnov, Yu. F.; et al., 92d:17007 

Kuznetsov, M. I. The Melikyan algebras as Lie algebras of the type G2. 92d:17004 

Lemire, F. W. Pointed torsion free Lie modules. 92d:17005 

Lorente, Miguel see Garcia-Escudero, Juan, 92k:17009 

Lyudkovskii, S. V. Erratum: “Matrices that represent canonical elements of universal 
envelopes of classical Lie algebras in the Gel'fand-Tsetlin basis” [Vestnik Moskov. Univ. 
Ser. I Mat. Mekh. 1989, no. 5, 73-76; MR 90m:17014]. (Russian) 92a:17013 

— Bases of irreducible representations of classical Lie algebras. (Russian) 92a:17014 

Mizuhara, Akira On affine homogeneous hypersurfaces of type A3. 92i:17010 

Molev, A. I. On certain class of unitarizable representations of the Lie algebra u(p, q). 
92k:17012 

Nakano, Daniel K. Projective modules over Lie algebras of Cartan type. 92k:17013 

Okubo, Susumu General Dynkin indices and their applications. 92d:17006 

Ostapenko, Peter Inverting the Shapovalov form. 92m:17017 

Ovsienko, S. A. see Drozd, Yu. A.; et al., 92d:17003 

Panov, A. N. Irreducible representations with a regular p-character. (Russian) 92m:17018 

Slansky, R. A quick introduction to simple Lie algebras and their representations. (see 
92b:81008) 

Smirnov, Yu. F. (with Stotland, L. Ya.; Knyr, V. A.) The analysis of unitary irreducible 
representations of u(p, 1) algebra by using the projection operator method. 92d:17007 

Stotland, L. Ya. see Smirnov, Yu. F.; et al., 92d:17007 

Umeda, Téru see Howe, Roger, 92j:17004 

Watts, G.M.T. see Kent, Adrian, 92j:17005 

Zarkhin, Yu. G. Linear simple Lie algebras and ranks of operators. 92g:17007 

Zelevinskii, A. V. see Berenshtein, A. D., 92a:17012 


Items with secondary classifications in 17B10 

enamor, Hédi (with Pinczon, Georges) Extensions of representations of Lie superalgebras. 
92¢:17028 

Benkart, Georgia (with Stroomer, Jeffrey) Tableaux and insertion schemes for spinor 
representations of the orthogonal Lie algebra so(2r + 1,C). 92i:05225 

Bloch, Spencer Algebraic cycles and the Lie algebra of mixed Tate motives. 92i:14004 

Bogolyubov, N. N. (with Mikityuk, I. V.; Prikarpat-skii, A. K.) Verma modules over the 
quantum Lie algebra of currents on the circle. (Russian) 92a:17042 

Capparelli, Stefano The Jordan canonical form in some 6-groups. 92m:20040 

Cohen, Arjeh M. (with Ruitenburg, G. C. M.) Generating functions and Lie groups. 
92£:22022 

Collingwood, David H. Orbits and characters associated to highest weight representations. 
92g:22036 

Couture, Michel Josaphat (with Sharp, R. T.) Irreducible embeddings and polynomial 
tensors. (see 92:81008) 

Deckhart, Robert W. The local Kostant-PBW ordering. 92g:05182 

Dillon, Meighan I. Geometry and affine Lie algebras. 92b:17039 

Ekhad, Shalosh B. A one-line proof of the Habsieger-Zeilberger G2 constant term identity. 
92:05097 

Gould, M. D. (with Zhang, R. B.) Unitary representations of basic classical Lie superalge- 
bras. 92e:17042 

Ginaydin, Murat (with Scalise, R. J.) Unitary lowest weight representations of the 
noncompact supergroup OSp(2m*/2n). 92b:17047 

Holmes, Randall R. Simple restricted modules for the restricted contact Lie algebras. 
92m:17034 

Hughes, J. W. B. see Van der Jeugt, Joris; et al., 92b:17049 and 92g:17043 

Hulsurkar, S.G. Nonplanarity of graphs on Weyl groups. 92a:17024 

Jantzen, Jens Carsten First cohomology groups for classical Lie algebras. 92e:17024 





297 1992 


King, Ronald Curtis see Van der Jeugt, Joris; et al., 92b:17049 and 92g:17043 

Klein, Abraham (with Marshalek, E. R.) Boson realizations of Lie algebras with applica- 
tions to nuclear physics. 92j:81070 

Kochetkov, Yu. Yu. Discrete modules for Lie superalgebras of the series Le. (Russian) 
92a:17044 

Larsen, Michael Jeffrey (with Pink, Richard) Determining representations from invariant 
dimensions. 92c:22026 

Le Blanc, Richard Highest weight representations for gl(m/n). (see 92£:81008) 

Lin, Zong Zhu Representations of Chevalley groups arising from admissible lattices. 
92:20040 

Marshalek, E.R. see Klein, Abraham, 92j:81070 

Martin, Christiane (with Piard, Alain) Indecomposable modules over the Virasoro Lie 
algebra and a conjecture of V. Kac. 92b:17044 

Meng, Dao Ji The complete Lie algebras with commutative nilpotent radicals. (Chinese) 
92:17004 

Mikityuk, I. V. see Bogolyubov, N. N.; et al., 92a:17042 

Murray, Michael K. (with Rice, John William) A geometric realisation of the Lepowsky 
Bernstein Gelfand Gel'fand resolution. 92¢:22029 

Palev, Tchavdar D. Highest weight representations of the Lie algebra gl, in a Gel’fand- 
Zetlin basis. 92i:17029 

— Highest weight representations of the Lie algebra a(oco). (Russian) 92c:17034 

Parshall, Brian J. Hyperalgebras, highest weight categories and finite-dimensional algebras. 
92d:20062 

Penkov, I. B. (with Serganova, V. V.) Generic irreducible representations of classical Lie 
superalgebras. 92m:17012 

Piard, Alain see Martin, Christiane, 92b:17044 

Pinczon, Georges see Benamor, Hédi, 92c:17028 

Pink, Richard see Larsen, Michael Jeffrey, 92c:22026 

Prikarpat-skii, A. K. see Bogolyubov, N. N.; et al., 92a:17042 

Quesne, C. Generalized vector coherent state theory of sp(2V, R) vector operators and of 
sp(2N, R) > u(N) reduced Wigner coefficients. 92j:81073 

Rice, John William see Murray, Michael K., 92e:22029 

Rubenthaler, Hubert Une dualité de type Howe en dimension infinie. (English summary) 
[An infinite-dimensional Howe-type duality] 92m:17039 

Ruitenburg, G.C.M. see Cohen, Arjeh M., 92f:22022 

Scalise, R. J. see Ginaydin, Murat, 92b:17047 

Serganova, V. V. see Penkov, I. B., 92m:17012 

Sharp, R. T. see Couture, Michel Josaphat, (92f:81008) 

Stroomer, Jeffrey see Benkart, Georgia, 92i:05225 

Su, Yu Cai A complete classification of indecomposable Harish-Chandra modules of the Lie 
superalgebra B(0, 1). 92m:17014 

Thierry-Mieg, J. see Van der Jeugt, Joris; et al., 92b:17049 and 92g:17043 

Van der Jeugt, Joris Character formulae for irreducible representations of the Lie 
superalgebras sl(m/n). 92g:17044 

— (with Hughes, J. W. B.; King, Ronald Curtis; Thierry-Mieg, J.) Representations of 
sl(m/n) and their characters. 92g:17043 

— (with Hughes, J. W. B.; King, Ronald Curtis; Thierry-Mieg, J.) Character formulas for 
irreducible modules of the Lie superalgebras sl(m/n). 92b:17049 

— Character formulae for the Lie superalgebra C(n). 92b:17050 

Weimar, Evelyn Contraction of Lie algebra representations. 92k:17008 

Zarkhin, Yu. G. Spectra of operators in finite-dimensional representations of simple Lie 
groups and Lie algebras. 92b:22012 

— Abelian varieties and Lie algebras. (Russian) 92d:14037 

Zhang, R. B. see Gould, M. D., 92e:17042 


17B15 Representations, analytic theory 


Barut, A. O. (with Phillips, Edward) Indecomposable representations of Lie algebras and 
Lie groups. 92c:17013 

Jorgensen, Palle E.T. Representations of symplectic vector spaces obtained as unitary 
dilations. 92m:17019 

Moshinsky, Marcos Boson realization of symplectic algebras and the matrix representation 
of their generators. 92b:17007 

Phillips, Edward see Barut, A. O., 92c:17013 

Quesne, C. Casimir operators of semidirect sum Lie algebras. (see 92f:81008) 

Vergne, Michéle Polynémes de Joseph et représentation de Springer. [Joseph polynomials 
and Springer representation] 92c:17014 


Items with secondary classifications in 17B15 

Biedenharn, L.C. see Le Blanc, Richard; et al., 92j:81071 

Bolsinov, A. V. Commutative families of functions related to consistent Poisson brackets. 
92k:58102 

Braden, H. W. Integral pairings and Dynkin indices. 92f:22021 

Chari, Vyjayanthi (with Pressley, Andrew N.) An application of Lie superalgebras to affine 
Lie algebras. 92c:17036 

Date, Etsurd (with Jimbo, Michio; Matsuo, Atsushi; Miwa, Tetsuji) Hypergeometric-type 
integrals and the s{(2,C) Knizhnik-Zamolodchikov equation. 92f:32063 

Derevenskii, V. P. Solvability in quadratures of third-order linear ordinary differential 
equations in the adjoint representation of Lie algebras. (Russian) 92m:34004 

Hecht, K. T. see Le Blanc, Richard; et al., 92j:81071 

Heidenreich, W. F. Tensor product of finite and infinite representations in physics. 
92i:81083 

Jimbo, Michio see Date, Etsurd; et al., 92f:32063 

Kupczytiski, M. On the representations of contracted Lie groups. (see 92f:81008) 

Langlands, Robert P. On unitary representations of the Virasoro algebra. 92c:17041 

Le Blanc, Richard (with Hecht, K. T.; Biedenharn, L. C.) Screening and vertex operators 
for u(n). 92j:81071 

Littelmann, Peter (with Procesi, Claudio) On the Poincaré series of the invariants of binary 
forms. 924:16032 


17B Lie algebras 


17B20 


Masson, David R. (with Repka, J.) Spectral theory of Jacobi matrices in /?(Z) and the 
su(1, 1) Lie algebra. 92h:33037 

Matsuo, Atsushi see Date, Etsurd; et al., 92f:32063 

Mitra, Bani Erratum: “Finite-dimensional irreducible representations of the SU(3/1) 
superalgebra” [J. Math. Phys. 30 (1989), no. 3, 719-731; MR 90a:17018]. 92a:17046 

Miwa, Tetsuji see Date, Etsurd; et al., 92f:32063 

Moulin Ollagnier, Jean (with Strelcyn, Jean-Marie) On first integrals of linear systems, 
Frobenius integrability theorem and linear representations of Lie algebras. 92a:58005 

Nishiyama, Kyo Characters and super-characters of discrete series representations for 
orthosymplectic Lie superalgebras. 92h:17030 

Pressley, Andrew N. see Chari, Vyjayanthi, 92c:17036 

Procesi, Claudio see Littelmann, Peter, 92d:16032 

Przebinda, Tomasz Characters, dual pairs, and unipotent representations. 92d:22021 

Repka, J. see Masson, David R., 92h:33037 

Schlosser, Hartmut A method for the computation of Clebsch-Gordan coefficients. 
92g:22038 

Sijatki, Dj. All SL(3,R) ladder representations. 92a:22026 

Strelcyn, Jean-Marie see Moulin Ollagnier, Jean, 92a:58005 

Verbitskii, M.S. Action of the Lie algebra of SO(5) on the cohomology of a hyper-Kahler 
manifold. (Russian) 92a:53095 

Wang, Duo Applications of the representation theory of sl(2, R) to normal form theory. 
92e:58192 


17B20 Simple, semisimple, reductive algebras (roots) 


Hailat, Mohammad Q. Lie algebras and symmetrysets. 92i:17011 

— Decomposition of special Jacobi sets. 92i:17012 

Hée, Jean-Yves Systeme de racines sur un anneau commutatif totalement ordonné. (English 
summary) [Root systems over a totally ordered commutative ring] 92f:17006 

Komrakov, B. P. * Primitive actions and the Sophus Lie problem. 

Kostrikin, Aleksei Ivanovich (with Pham Hi’u Tiép) Irreducible orthogonal decomposi- 
tions of simple Lie algebras of type A,. (Russian) 92a:17015 

Laquer, H. Turner Invariant bilinear forms on real reductive Lie algebras. 92k:17014 

Neeb, Karl-Hermann Globality in semisimple Lie groups. (French summary) 92h:17005 

Pham Hi’u Tiép Characterization of a multiplicative orthogonal decomposition of the Lie 
algebra D4. (Russian) 92d:17008 

— see also Kostrikin, Aleksei Ivanovich, 92a:17015 

Yang, Qi! The height of the normalizer tower of a one-dimensional Lie subalgebra of gl(V)). 
(Chinese) 92b:17008 


Items with secondary classifications in 17B20 

Berenshtein, A. D. (with Zelevinskii, A. V.) When is the multiplicity of a weight equal to 1? 
(Russian) 92a:17012 

Bogoyavienskii, O.1. Algebraic constructions of integrable dynamical systems—extension 
of the Volterra system. (Russian) 92j:58041 

De Mari, Filippo (with Shayman, Mark A.) Lie algebraic generalizations of Hessenberg 
matrices and the topology of Hessenberg varieties. (see 92b:93006) 

Dunne, E.G. Notation for the Penrose transform. 92a:81061 

Evans, Ronald J. A character sum for root system G2. 92f:11114 

Feinsilver, Philip Special functions and representations of su(2). 924:33038 

Flaschka, Hermann (with Haine, Luc) Variétés de drapeaux et réseaux de Toda. (English 
summary) [Flag manifolds and Toda lattices] 92c:22040 

Fordy, Allan P. Integrable equations associated with simple Lie algebras and symmetric 
spaces. (see 92f:58090) 

Garvan, Frank G. (with Gonnet, Gaston H.) Macdonald’s constant term conjectures for 
exceptional root systems. 92b:33054 

Gigante, Giuliana (with Tomassini, Giuseppe) CR-structures on a real Lie algebra. (Italian 
summary) 92j:32067 

Gonnet, Gaston H. see Garvan, Frank G., 92b:33054 

Haine, Luc see Flaschka, Hermann, 92c:22040 

Helminck, A. G. On groups with a Cartan involution. 92j:20042 

Hirschbihl, Ralf Commutators in classical Lie algebras. 92a:17009 

Hou, Zi Xin (with Kang, Wei) Structures of Cartan groups of real simple Lie algebras. 
92d:17002 

Hulsurkar, S.G. Nonplanarity of graphs on Weyl groups. 92a:17024 

Kang, Wei see Hou, Zi Xin, 92d:17002 

Kimelfel'd, B. N. On isometries of left invariant metrics on semisimple Lie groups. 
92k:53083 

McGovern, William M. Dixmier algebras and the orbit method. 92f:17010 

Mortajine, A. * Classification des espaces préhomogénes de type parabolique réguliers et 
de leurs invariants relatifs. (French) [Classification of regular parabolic prehomogeneous 
spaces and their relative invariants] 92e:20031 

Nishiyama, Kyo Decomposing oscillator representations of osp(2n/n;R) by a super dual 
pair osp(2/1;R) x so(m). 92j:17028 

Onishchik, A. L. see Vinberg, E. B., 92i:22014 

Panov, A. N. Irreducible representations with a regular p-character. (Russian) 92m:17018 

Pham Hii’u Tiép A classification of the irreducible orthogonal decompositions of the simple 
complex Lie algebras of type B,. 92m:17016 

Ringel, Claus Michael Hall polynomials for the representation-finite hereditary algebras. 
92e:16010 

Satake, Ichiré On the rational structures of symmetric domains. II. Determination of 
rational points of classical domains. 92k:32061 

Schofield, Aidan The field of definition of a real representation of a quiver Q. 92m:16016 

Shayman, Mark A. see De Mari, Filippo, (92b:93006) 

Strade, Helmut The classification of the simple modular Lie algebras. III. Solution of the 
classical case. 92g:17024 

Tomassini, Giuseppe see Gigante, Giuliana, 92j:32067 

Vinberg, E. B. (with Onishchik, A. L.) * Cemunap no rpynnam Jiu u anre6pauyeckuM 
rpynnam. (Russian) [A seminar on Lie groups and algebraic groups] 92i:22014 

Weimar, Evelyn Contraction of Lie algebra representations. 92k:17008 





17B20 


Zelevinskii, A. V. see Berenshtein, A. D., 92a:17012 

Zhelobenko, D. P. An introduction to the theory of S-algebras over reductive Lie algebras. 
92k:17016 

Zimmermann, Ulrike Invariante Kegel in Cartan-Algebren. [Invariant cones in Cartan 
algebras] 92h:17003 


17B25 Exceptional algebras 


Allison, B. N. Isotropic simple Lie algebras of type Ds. 92b:17009 

Catto, Sultan (with Chesley, Donald) Twisted octonions and their symmetry groups. 
92:17007 

Chesley, Donald see Catto, Sultan, 92f:17007 

McKay, W. G. (with Patera, J.; Rand, D. W.) * Tables of representations of simple Lie 
algebras. Vol. I. 92c:17015 

(Moody, Robert V.) see McKay, W. G.; et al., 92c:17015 

Patera, J. see McKay, W. G.; et al., 92c:17015 

Rand, D. W. see McKay, W. G.; et al., 92c:17015 

Shukuzawa, Osamu see Yokota, Ichiro, 92m:17020 

Spaltenstein, N. On the Kazhdan-Lusztig map for exceptional Lie algebras. 92b:17010 

Yokota, Ichiro (with Shukuzawa, Osamu) Automorphisms of order 4 of the simply 
connected compact Lie group Es. 92m:17020 


Items with secondary classifications in 17B25 


Burtseva, T. A. see Rosenfeld, Boris A., (92f:53003) 

Evans, Ronald J. A character sum for root system G2. 92f:11114 

Frappat, L. (with Sorba, P.; Sciarrino, A.) g-fermionic operators and quantum exceptional 
algebras. 92b:17017 

Garvan, Frank G. (with Gonnet, Gaston H.) Macdonald’s constant term conjectures for 
exceptional root systems. 92b:33054 

Gonnet, Gaston H. see Garvan, Frank G., 92b:33054 

McKay, W.G. (with Moody, Robert V.; Patera, J.; Pianzola, Arturo) The 785 conjugacy 
classes of rational elements of finite order in Eg. 92a:22020 

Moody, Robert V. see McKay, W. G.; et al., 92a:22020 

Patera, J. see McKay, W. G.; et al., 92a:22020 

Pianzola, Arturo see McKay, W. G.; et al., 92a:22020 

Rietman, Ronald Nonexistence of off-critical Yang-Baxter solutions for exceptional Lie 
algebra models. 92g:82034 

Rosenfeld, Boris A. (with Burtseva, T. A.) Non-Euclidean planes over nonassociative 
algebra and geometric interpretations of exceptional simple Lie groups. (see 92f:53003) 

Rouaissi, Ahmed Syst¢me hamiltonien périodique associé a l’algébre de Lie g». (English 
summary) [Hamiltonian system with periodic orbits associated with the Lie algebra g>] 
92e:58172 

Sciarrino, A. see Frappat, L.; et al., 92b:17017 

Sorba, P. see Frappat, L.; et al., 92b:17017 


17B30 Solvable, nilpotent algebras 


Ancochéa-Bermidez, José Maria see Khakimdzhanov, Yu. B.; et al., 92h:17006 

Ekici, Naime Free polynilpotent subalgebras of a free polynilpotent Lie algebra. 92b:17011 

Goze, Michel see Khakimdzhanov, Yu. B.; et al., 92h:17006 

Hussin, Véronique (with Winternitz, Pavel; Zassenhaus, Hans) Maximal abelian subalge- 
bras of complex orthogonal Lie algebras. 924:17009 

Khakimdzhanov, Yu. B. Characteristically nilpotent Lie algebras. (Russian) 92a:17016 

— The variety of structures of nilpotent Lie algebras. (Russian) 92¢:17008 

— (with Ancochéa-Bermudez, José Maria; Goze, Michel) Sur la réductibilité de la variété 
des algébres de Lie nilpotentes complexes. (English summary) [On the reducibility of 
varieties of complex nilpotent Lie algebras] 92h:17006 


Kobotis, A. (with Tsagas, Grigorios) Invariants of nilpotent Lie algebras of dimension eight. 


92c:17016 

— see also Tsagas, Grigorios, 92g:17009 

Kostrikin, Aleksei Ivanovich see Zel'‘manov, E. I., 92h:17007 

Mishchenko, S. P. Varieties of solvable Lie algebras. (Russian) 92f:17008 

Osborn, J. Marshall Examples of dimensionally nilpotent Lie algebras of prime characteris- 
tic. 92e:17009 

Petravchuk, A. P. Solvability of a Lie algebra that can be decomposed into the sum of an 
abelian and a nilpotent subalgebra. (Russian. Ukrainian summary) 92k:17015 

Rips, Eliyahu (with Shalev, Aner) The Baer condition for group algebras. 92g:17008 

Sauerbier, Gabriele Zur Konstruktion nilpotenter Lie-Algebren. (English and Russian 
summaries) [On the construction of nilpotent Lie algebras] 92e:17010 

Seeley, Craig Degenerations of 6-dimensional nilpotent Lie algebras over C. 92a:17017 

— Degenerations of central quotients. 92b:17012 

Shalev, Aner see Rips, Eliyahu, 92g:17008 

Tsagas, Grigorios (with Kobotis, A.) Nilpotent Lie algebras of dimension nine. 92g:17009 

— see also Kobotis, A., 92c:17016 

Winternitz, Pavel see Hussin, Véronique; et al., 92d:17009 

Zassenhaus, Hans see Hussin, Véronique; et al., 92d:17009 

Ze manov, E.1. (with Kostrikin, Aleksei Ivanovich) A theorem on sandwich algebras. 
(Russian) 92h:17007 


Items with secondary classifications in 17B30 

Bell, Allen D. (with Musson, Ian M.) Primitive factors of enveloping algebras of nilpotent 
Lie superalgebras. 92b:17013 

Brown, Kenneth A. On the representation theory of solvable Lie algebras. II. The abelian 
group attached to a prime ideal. 92g:17010 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Lie algebras of polynomial 
growth. 92i:57034 

Gonzalez-Lépez, Artemio (with Kamran, Niky; Olver, Peter J.) Quasi-exactly solvable Lie 
algebras of differential operators in two complex variables. 92g:17045 

Halperin, Stephen see Félix, Yves; et al., 92i:57034 


NONASSOCIATIVE RINGS AND ALGEBRAS 1992 298 


Hanlon, Phil Some conjectures and results concerning the homology of nilpotent Lie 
algebras. 92a:17030 

Kamran, Niky see Gonzalez-Lépez, Artemio; et al., 92g:17045 

Khakimdzhanov, Yu. B. Derivations of some infinite-dimensional topologically nilpotent Lie 
algebras. (Russian) 92b:17032 

Mathieu, Olivier Bicontinuity of the Dixmier map. 92i:17013 

Moneyhun, Kay (with Stitzinger, Ernest) Some finite varieties of Lie algebras. 92i:17008 

Musson, Ian M. see Bell, Allen D., 92b:17013 

Olver, Peter J. see Gonzalez-Lépez, Artemio; et al., 92g:17045 

Panyukov, V. V. Solvability of Lie algebras of positive characteristic. (Russian) 92a:17027 

Papistas, Athanassios A note on automorphism group of an n-generator nilpotent Lie 
algebra. 92c:20073 

Schue, John Enveloping algebras and division rings for Lie p-algebras. 92a:17028 

Sharma, Rajendra Kumar (with Srivastava, J. B.) On solvable Lie ideals of a ring. 
92:16042 

Srivastava, J. B. see Sharma, Rajendra Kumar, 92f:16042 

Stitzinger, Ernest see Moneyhun, Kay, 92i:17008 

Thomas, Jean-Claude see Félix, Yves; et al., 92i:57034 

Yau, Stephen S.-T. Solvability of Lie algebras arising from isolated singularities and 
nonisolatedness of singularities defined by sl(2,C) invariant polynomials. 92j:32125 

Zel'manov, E. 1. On the restricted Burnside problem. (Russian) 92a:20041 

— Superalgebras and identities. 92f:17001 


17B35_ Universal enveloping algebras [see also 16S30] 


Barbasch, Dan Representations with maximal primitive ideal. 92j:17006 

Barou, Genevieve (with Malliavin-Brameret, Marie-Paule) Cohomologie locale et coho- 
mologie d’algébres de Lie. [Local cohomology and Lie algebra conomology] 92a:17018 

Bell, Allen D. (with Musson, Ian M.) Primitive factors of enveloping algebras of nilpotent 
Lie superalgebras. 92b:17013 

— Accriterion for primeness of enveloping algebras of Lie superalgebras. 92b:17014 

Bernstein, Joseph Trace in categories. 92d:17010 

Brown, Kenneth A. On the representation theory of solvable Lie algebras. II. The abelian 
group attached to a prime ideal. 92g:17010 

Faddeev, L. D. (with Reshetikhin, N. Yu.; Takhtadzhyan, L. A.) Quantum groups. (see 
92i:57011) 

Ginzburg, V. A. Lagrangian construction of the enveloping algebra U(sl,,). (French 
summary) 92c:17017 

Irving, Ronald S. BGG algebras and the BGG reciprocity principle. 92d:17011 

Joseph, Anthony The surjectivity theorem, characteristic polynomials and induced ideals. 
92h:17008 

Lassner, W. * Operator ordering and symbol representations of enveloping algebras. 
92b:17015 

Lenczewski, Romuald On certain submodules of the enveloping fields. 92m:17021 

Malliavin-Brameret, Marie-Paule see Barou, Genevieve, 92a:17018 

Mathieu, Olivier Bicontinuité de l’application de Dixmier. (English summary) [Bicontinu- 
ity of the Dixmier map] 92f:17009 

— Bicontinuity of the Dixmier map. 92i:17013 

McGovern, William M. Dixmier algebras and the orbit method. 92f:17010 

Musson, Ian M. see Bell, Allen D., 92b:17013 

Petrogradskii, V.M. The existence of an identity in a bounded envelope. (Russian) 
92d:17012 

Reshetikhin, N. Yu. see Faddeev, L. D.; et al., (92i:57011) 

Takhtadzhyan, L. A. see Faddeev, L. D.; et al., (92i:57011) 

Turaev, V.G. Algebras of loops on surfaces, algebras of knots, and quantization. (see 
92i:57011) 

Zhelobenko, D. P. An introduction to the theory of S-algebras over reductive Lie algebras. 
92k:17016 


Items with secondary classifications in 17B35 


Bavula, V. V. Classification of simple sl(2)-modules and the finite-dimensionality of the 
module of extensions of simple sl(2)-modules. (Russian. Ukrainian summary) 92c:17009 

Bergen, Jeffrey (with Passman, D.S.) Delta methods in enveloping rings. 92b:16056 

Bien, Frédéric V. * D-modules and spherical representations. 92f:22025 

Binegar, B. (with Zierau, R.) Unitarization of a singular representation of SO(p, q). 
92h:22027 

Brion, Michel (with Procesi, Claudio) Action d’un tore dans une variété projective. [Action 
of a torus in a projective variety] 92m:14061 

Figueroa-O’Farrill, José M. (with Schrans, Stany; Thielemans, Kris) On the Casimir 
algebra of B2. 92g:81068 

Ge, Mo Lin see Sun, Chang Pu, 92m:81111 F 

Gruber, Bruno (with Lenczewski, Romuald) Finite-dimensional indecomposable represen- 
tations of the Poincaré algebra. 92c:81049 

Hanlon, Phil Some conjectures and results concerning the homology of nilpotent Lie 
algebras. 92a:17030 

Howe, Roger (with Umeda, Toru) The Capelli identity, the double commutant theorem, 
and multiplicity-free actions. 92j:17004 

Jimbo, Michio Introduction to the Yang-Baxter equation. (see 92i:57011) 

Jorgensen, Palle E.T. Extensions and index of Hermitian representations. 92b:46086 

Kohno, Toshitake Integrable systems related to braid groups and Yang-Baxter equation. (see 
92i:57011) 

Lenczewski, Romuald see Gruber, Bruno, 92¢:81049 

Lusztig, George Intersection cohomology methods in representation theory. 92m:20034 

Nomura, Masao Recursion relations for the Clebsch-Gordan coefficient of quantum group 
SU,(2). 92b:33055a 

— Addendum to: “Recursion relations for the Clebsch-Gordan coefficient of quantum group 
SU,(2)”. 92b:33055b 

Nuss, Philippe L’homologie cyclique des algébres enveloppantes des algébres de Lie de 
dimension trois. (English summary) [The cyclic homology of the enveloping algebras of 
three-dimensional Lie algebras] 92i:19004 





299 1992 


Ovsienko, V. Yu. (with Turbiner, A. V.) Plongements d’une algébre de Lie dans son 
algébre enveloppante. (English summary) [Embeddings of a Lie algebra into its universal 
enveloping algebra] 92m:17035 

Passman, D.S. see Bergen, Jeffrey, 92b:16056 

Petrogradskii, V.M. Identities in the enveloping algebras for modular Lie superalgebras. 
92m:17013 

Prevost, Shari A. Vertex algebras and integral bases for the enveloping algebras of affine Lie 
algebras. 92f:17031 

Procesi, Claudio see Brion, Michel, 92m:14061 

Schmiidgen, Konrad Noncommutative moment problems. 92f:22030 

Schrans, Stany see Figueroa-O’Farrill, José M.; et al., 92g:81068 

Schue, John Enveloping algebras and division rings for Lie p-algebras. 92a:17028 

Sun, Chang Pu (with Ge, Mo Lin) The q-deformed boson realization of representations of 
quantum universal enveloping algebras for g a root of unity. II. The subalgebra chain of 
U,(C;). 92m:81111 

Thielemans, Kris see Figueroa-O’Farrill, José M.; et al., 92g:81068 

Tirao, Juan A. K-invariants for semisimple Lie groups. 92¢:22035 

Turbiner, A. V. see Ovsienko, V. Yu., 92m:17035 

Umeda, Téru see Howe, Roger, 92j:17004 

Vergne, Michele Polynémes de Joseph et représentation de Springer. [Joseph polynomials 
and Springer representation] 92c:17014 

Vogan, David A., Jr. Dixmier algebras, sheets, and representation theory. 92h:22034 

Zierau, R. see Binegar, B., 92h:22027 


17B37 Quantum groups and related deformations 
[see also 16W30, 81R50, 82B23] 


Aizawa, N. (with Sato, Harutada) q-deformation of the Virasoro algebra with central 
extension. 92b:17016 

Andersen, Henning Haahr (with Polo, Patrick; Wen, Ke Xin) Representations of quantum 
algebras. 92e:17011 

Aneva, B. A deformed quantum SU(2) superalgebra. 92e:17012 

Arnaudon, Daniel Periodic and flat irreducible representations of SU(3),. 92f:17011 

— (with Chakrabarti, Amitabha) Periodic and partially periodic representations of SU(N),. 
92k:17017 

— (with Chakrabarti, Amitabha) Flat periodic representations of %,(g). 92k:17018 

— (with Chakrabarti, Amitabha) Periodic representations of SO(5),. 92m:17022 

Artin, Michael (with Schelter, William F.; Tate, John) Quantum deformations of GL,. 
92i:17014 

Avan, Jean (with Talon, Michel) Graded R-matrices for integrable systems. 92j:17007 

Balog, J. (with Dabrowski, L.; Fehér, L. Gy.) A new quantum deformation of SL(3). 
92d:17013 

Berger, Roland Quantification de l’identité de Jacobi. (English summary) [Quantization of 
the Jacobi identity] 92f:17012 

Bernard, Denis A remark on quasi-triangular quantum Lie algebras. 92e:17013 

Biedenharn, L.C. An overview of quantum groups. 92i:17015 

Bracken, A. J. see Zhang, R. B.; et al., 92f:17021; 92g:17022; Gould, M. D.; et al., 92h:17014; 
Zhang, R. B.; et al., 92j:17016 and 92m:17031 

Burdik, C. (with Hlavaty, Ladislav) A two-parametric quantization of sI(2). 92j:17008 

Burroughs, Nigel Relating the approaches to quantised algebras and quantum groups. 
92c:17018 

Celeghini, Enrico (with Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco) The 
quantum Heisenberg group H(1),. 92¢:17019 

— (with Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco) The three-dimensional 
Euclidean quantum group E(3), and its R-matrix. 92c:17020 

— (with Giachetti, Riccardo; Reiman, A. G.; Sorace, Emanuele; Tarlini, Marco) SO,(n + 
1,n — 1) asa real form of SO,(2n,C). 92i:17016 

— (with Palev, Tchavdar D.; Tarlini, Marco) The quantum superalgebra B,(0|1) and q- 
deformed creation and annihilation operators. 92f:17013 

Chaichian, Masud (with Popowicz, Z.; Presnajder, P.) g-Virasoro algebra and its relation to 
the g-deformed KdV system. 92c:17021 

Chakrabarti, Amitabha g-analogs of IU(n) and U(n, 1). 92d:17014 

— see also Arnaudon, Daniel, 92k:17017; 92k:17018 and 92m:17022 

Chakrabarti, Ranabir (with Jagannathan, Ramaswamy) On the representations of GL,(n) 
using the Heisenberg-Weyl relations. 92f:17014 

Chari, Vyjayanthi (with Pressley, Andrew N.) Yangians and R-matrices. 92h:17009 

— (with Pressley, Andrew N.) Minimal cyclic representations of quantum groups at roots of 
unity. (French summary) 92g:17011 

— (with Pressley, Andrew N.) Fundamental representations of Yangians and singularities of 
R-matrices. 92h:17010 

— see also Pressley, Andrew N., 92j:17014 

Couture, Michel Josaphat On some quantum R matrices associated with representations of 
U,(sl(2,C)) when q is a root of unity. 92c:17022 

Curtright, Thomas L. Deformations, coproducts, and U. 92f:17015 

Dabrowski, L. see Balog, J.; et al., 92d:17013 

Dai, Jian Hui (with Guo, Han Ying; Yan, Hong) The q-deformed differential operator 
algebra, a new solution to the Yang-Baxter equation and quantum plane. 92h:17011 

Date, Etsurd (with Jimbo, Michio; Miwa, Tetsuji) Representations of U,(gli(m,C)) at g =0 
and the Robinson-Shensted [Schensted] correspondence. 92h:17012 

— (with Jimbo, Michio; Miki, Kei; Miwa, Tetsuji) Cyclic representations of U,(si(n + 1,C)) 
atg™ = 1. 92i:17018 

De Concini, Corrado (with Kac, Victor G.) Representations of quantum groups at roots of 
1. 92g:17012 

Demidov, E. E. Multiparameter quantum deformations of the group GL(”). (Russian) 
92k:17019 

Devchand, Ch. (with Savel’ev, M. V.) Comultiplication for quantum deformations of the 
centreless Virasoro algebra in the continuum formulation. 92e:17014 

D’Hoker, Eric (with Floreanini, Roberto; Vinet, Luc) q-oscillator realizations of the 
metaplectic representation of quantum osp(3, 2). 92i:17017 


17B Lie algebras 


17B37 


Dobrev, V. K. Character formulae for U,(sl(3,C)) representations. 92j:17009 

— Multiplet classification of highest weight modules over quantum universal enveloping 
algebras: the U,(SL(3,C)) example. 92j:17010 

— Singular vectors of quantum group representations for straight Lie algebra roots. 
92m:17023 

— Singular vectors of representations of quantum groups. 92m:17024 

Drinfel’d, V.G. Quasi-Hopf algebras and Knizhnik-Zamolodchikov equations. 92j:17011 

Faddeev, L. D. Quantum groups. 92f:17016 

Fairlie, D. B. Quantum groups or the uses of algebraic computational programs in the 
suggestion and verification of algebraic conjectures. (see 92i:81012) 

— q-analysis and quantum groups. 92k:17020 

— see also GeV fand, I. M., 92d:17015 

Fehér, L. Gy. see Balog, J.; et al., 92d:17013 

Flato, Moshé (with Sternheimer, Daniel) On a possible origin of quantum groups. 
92i:17019 

Floreanini, Roberto see D’Hoker, Eric; et al., 92i:17017 

Frappat, L. (with Sorba, P.; Sciarrino, A.) g-fermionic operators and quantum exceptional 
algebras. 92b:17017 

Freidel, L. (with Maillet, Jean-Michel) Quadratic algebras and integrable systems. 
92h:17013 

Frenkel, Igor B. (with Moore, Gregory W.) Simplex equations and their solutions. 
92e:17015 

Fu, Hong Chen (with Ge, Mo Lin) The q-boson realization of parametrized cyclic 
representations of quantum algebras at g? = 1. 92j:17012 

— see also Sun, Chang Pu; et al., 92h:17018 

Fujii, Akira see Quano, Yas-Hiro, 92k:17026 

Gavrilik, A.M. (with Klimyk, A. U.) g-deformed orthogonal and pseudo-orthogonal 
algebras and their representations. 92k:17021 

Ge, Mo Lin (with Wu, A. C. T.) Quantum groups constructed from the nonstandard braid 
group representations in the Faddeev-Reshetikhin-Takhtajan approach. 92i:17020 

— see also Sun, Chang Pu, 92g:17021; 92h:17018; Fu, Hong Chen, 92j:17012; Jing, Nai 
Huan; et al., 92k:17023; Sun, Chang Pu; et al., 92k:17028; 92k:17029; Li, You Quan; et al., 
92m:17026 and Sun, Chang Pu; et al., 92m:17029 

Gelfand, I. M. (with Fairlie, D. B.) The algebra of Weyl symmetrised polynomials and its 
quantum extension. 92d:17015 

Giachetti, Riccardo see Celeghini, Enrico; et al., 92c:17019; 92c:17020 and 92i:17016 

Gémez, César (with Ruiz-Altaba, M.; Sierra, German) New R-matrices associated with 
finite-dimensional representations of U,(sl(2)) at roots of unity. 92g:17013 

Gould, M. D. (with Zhang, R. B.; Bracken, A. J.) Lie bi-superalgebras and the graded 
classical Yang-Baxter equation. 92h:17014 

— see also Zhang, R. B.; et al., 92f:17021; 92g:17022; 92j:17016 and 92m:17031 

Gruber, Bruno (with Smirnov, Yu. F.) On quantized Verma modules. 92k:17022 

— see also Klimyk, A. U.; et al., 92k:17024 

Guo, Han Ying see Dai, Jian Hui; et al., 92h:17011 

Hayashi, Takahiro Quantum deformation of classical groups. 92m:17025 

Hlavaty, Ladislav Two-dimensional quantum spaces corresponding to solutions of the Yang- 
Baxter equations. 92g:17014 

— see also Burdik, C., 92j:17008 

Jagannathan, Ramaswamy see Chakrabarti, Ranabir, 92f:17014 

Jimbo, Michio see Date, Etsuré; et al., 92h:17012 and 92i:17018 

Jing, Nai Huan Twisted vertex representations of quantum affine algebras. 92a:17019 

— (with Ge, Mo Lin; Wu, Yong Shi') A new quantum group associated with a “nonstan- 
dard” braid group representation. 92k:17023 

Kac, Victor G. see De Concini, Corrado, 92g:17012 

Kashiwara, Masaki Crystalizing the g-analogue of universal enveloping algebras. 92b:17018 

Kazhdan, David (with Lusztig, George) Affine Lie algebras and quantum groups. 92g:17015 

Khoroshkin, S. M. (with Tolstoi, V. N.) Universal R-matrix for quantum supergroups. 
92i:17021 

Kim, J. D. (with Koh, I. G.; Ma, Zhong Qi) Quantum R matrix for E7 and F, groups. 
92h:17015 

Kirillov, A. N. (with Reshetikhin, N. Yu.) g-Weyl group and a multiplicative formula for 
universal R-matrices. 92c:17023 

Klimyk, A. U. (with Smirnov, Yu. F.; Gruber, Bruno) Representations of the quantum 
algebras U,(su(2)) and U,(su(1,1)). 92k:17024 

— see also Gavrilik, A. M., 92k:17021 

Koh, I. G. see Kim, J. D.; et al., 92h:17015 

Kulish, P. P. Contraction of quantum algebras, and q-oscillators. (Russian. English 
summary) 92d:17016 

Kupershmidt, Boris A. Quasiclassical limit of quantum matrix groups. 92h:17016 

Levendorskii, S. Z. Twisted algebras of functions on a compact quantum group and their 
representations. (Russian) 92e:17016 

— (with Soibel'man, Ya. S.) Some applications of the quantum Weyl groups. 92g:17016 

— (with Soibel/man, Ya. S.) Quantum group A... 92g:17017 

Li, You Quan (with Ge, Mo Lin; Xue, Kang; Wang, Lu Yu) Weight conservation condition 
and structure of the braid group representation. 92m:17026 

Liu, Ke Qin Quantum central extensions. 92g:17018 

Liu, Xu Feng see Sun, Chang Pu; et al., 92k:17028 and 92k:17029 

Li, Jing Fa see Sun, Chang Pu; et al., 92m:17029 

La, Zhi Cheng Quantum algebras on phase space. 92m:17027 

Lusztig, George see Kazhdan, David, 92g:17015 

Ma, Zhong Qi The embedding ep and the spectrum-dependent R-matrix for q-F4. 
92b:17019 

— see also Kim, J. D.; et al., 92h:17015 

MacKay, N. J. Rational R-matrices in irreducible representations. 92j:17013 

Maillet, Jean-Michel see Freidel, L., 92h:17013 

Majid, Shahn (with Soibel'man, Ya. S.) Rank of quantized universal enveloping algebras 
and modular functions. 92k:17025 

Manin, Yu. I. Quantum groups. 

Miki, Kei see Date, Etsurd; et al., 92i:17018 

Miwa, Tetsuji see Date, Etsurd; et al., 92h:17012 and 92i:17018 





17B37 


Moore, Gregory W. see Frenkel, Igor B., 92e:17015 

Nakashima, Toshiki A basis of symmetric tensor representations for the quantum analogue 
of the Lie algebras B,, C,, and D,. 92h:17017 

Nazarov, M. L. Quantum Berezinian and the classical Capelli identity. 92b:17020 

Nomura, Masao A Jordan-Schwinger representation of quadratic relations for SU,(2) 
operators and of the g-analog Wigner-Eckart theorem. 92a:17020a 

— Erratum: “A Jordan-Schwinger representation of quadratic relations for SU,(2) operators 
and of the g-analog Wigner-Eckart theorem”. 92a:17020b 

— Concepts of tensors in U,(sl(2)) and a van der Waerden method for quantum Clebsch- 
Gordan coefficients. 92f:17017 

Ogievetskii, O. V. (with Wess, Julius) Relations between GLy4(2)’s. 92e:17017 

Okado, Masato Quantum R matrices related to the spin representations of B, and D,. 
92£:17018 

Palev, Tchavdar D. (with Tolstoi, V. N.) Finite-dimensional irreducible representations of 
the quantum superalgebra U,[gl(n/1)]. (see 92g:81003) 

— see also Celeghini, Enrico; et al., 92f:17013 

Polo, Patrick see Andersen, Henning Haahr; et al., 92e:17011 

Polychronakos, Alexios P. A classical realization of quantum algebras. 92a:17021 

— Consistency conditions and representations of a g-deformed Virasoro algebra. 92e:17018 

Popowicz, Z. see Chaichian, Masud; et al., 92c:17021 

PreSnajder, P. see Chaichian, Masud; et al., 92c:17021 

Pressley, Andrew N. (with Chari, Vyjayanthi) Notes on quantum groups. 92j:17014 

— see also Chari, Vyjayanthi, 92g:17011; 92h:17009 and 92h:17010 

Quano, Yas-Hiro (with Fujii, Akira) Generalized Sklyanin algebra. 92k:17026 

Reiman, A. G. see Celeghini, Enrico; et al., 92i:17016 

Reshetikhin, N. Yu. (with Semenov-Tyan-Shanskii, M. A.) Quantum R-matrices and 
factorization problems. 92g:17019 

— see also Kirillov, A. N., 92¢:17023 

Rotek, Martin Representation theory of the nonlinear SU(2) algebra. 92b:17021 

Rosso, Marc The universal R-matrix for the quantum SL(N)-group. 92k:17027 

— Algébres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul 
différentiel non commutatif. [Quantized enveloping algebras, compact quantum groups 
of matrices and noncommutative differential calculus] 92i:17022 

Ruiz-Altaba, M. see Gomez, César; et al., 92g:17013 

Ryang, Shijong Vertex operators for U,(su(2)) correlation functions. 92m:17028 

Sato, Harutada see Aizawa, N., 92b:17016 

Savel’ev, M. V. see Devchand, Ch., 92e:17014 

Schelter, William F. see Artin, Michael; et al., 92i:17014 

Schirrmacher, Arne (with Wess, Julius; Zumino, Bruno) The two-parameter deformation of 
GL(2), its differential calculus, and Lie algebra. 92e:17019 

— The multiparametric deformation of GL(n) and the covariant differential calculus on the 
quantum vector space. 92g:17020 

Schmeing, N.C. A Hopf algebra based on the Patera-Zassenhaus grading of A,. 92i:17023 

Sciarrino, A. see Frappat, L.; et al., 92b:17017 

Semenov-Tyan-Shanskii, M. A. see Reshetikhin, N. Yu., 92g:17019 

Sergeev, S. M. Spectral decomposition of R-matrices for exceptional Lie algebras. 
92e:17020 

Shibukawa, Youichi see Ueno, Kimio; et al., 92a:17022 and 92e:17023 

Sierra, German see Gomez, César; et al., 92g:17013 

Siopsis, George Quantum groups in WZW and Chern-Simons theories. 92e:17021 

Smirnov, Yu. F. see Gruber, Bruno, 92k:17022 and Klimyk, A. U.; et al., 92k:17024 

Soibel‘man, Ya. S. Gel'fand-Naimark-Segal states and Weyl groups for the quantum group 
SU(n). (Russian) 92:17019 

— see also Levendorskii, S. Z., 92g:17016; 92g:17017 and Majid, Shahn, 92k:17025 

Sorace, Emanuele see Celeghini, Enrico; et al., 92c:17019; 92c:17020 and 92i:17016 

Sorba, P. see Frappat, L.; et al., 92b:17017 

Sternheimer, Daniel see Flato, Moshé, 92i:17019 

Sudbery, A. Noncommuting coordinates and differential operators. 92f:17020 

Sun, Chang Pu (with Liu, Xu Feng; Ge, Mo Lin) A new q-deformed boson realization of 
quantum algebra sl,(2) and nongeneric sl,(2) R-matrices. 92k:17028 

— (with Ge, Mo Lin) The cyclic boson operators and new representations of the quantum 
algebra sl,(2) for g a root of unity. 92g:17021 

— (with Li, Jing Fa; Ge, Mo Lin) g-analogues of Verma representations of quantum 
algebras for q, a root of unity: the case of U,(sl(3)). 92m:17029 

— (with Fu, Hong Chen; Ge, Mo Lin) The cyclic representations of the quantum superalge- 
bra U,osp(2, 1) with g a root of unity. 92h:17018 

— (with Liu, Xu Feng; Ge, Mo Lin) Cyclic boson algebra and g-boson realizations of cyclic 
representations of the quantum algebra sl,(3). 92k:17029 

Takebayashi, Tadayoshi see Ueno, Kimio; et al., 92a:17022 and 92e:17023 

Talon, Michel see Avan, Jean, 92j:17007 

Tanisaki, Toshiyuki Harish-Chandra isomorphisms for quantum algebras. 92e:17022 

— Finite-dimensional representations of quantum groups. 92h:17019 

Tarlini, Marco see Celeghini, Enrico; et al., 92c:17019; 92c:17020; 92f:17013 and 92i:17016 

Tate, John see Artin, Michael; et al., 92i:17014 

Tolstoi, V. N. see Khoroshkin, S. M., 92i:17021 and Palev, Tchavdar D., (92g:81003) 

Truini, Piero (with Varadarajan, V.S.) The concept of a quantum semisimple group. 
92k:17030 

Ueno, Kimio (with Takebayashi, Tadayoshi; Shibukawa, Youichi) Gel’fand-Zetlin basis for 
U,(gl(N + 1)) modules. 92a:17022 

— (with Takebayashi, Tadayoshi; Shibukawa, Youichi) Construction of Gel’fand-Tsetlin 
basis for U,(gl(N + 1))-modules. 92e:17023 

Vaisleb, E. E. Infinite-dimensional +-representations of the Sklyanin algebra in the 
degenerate case (the quantum algebra U,(sI(2))). (Russian) 92j:17015 

— Representations of quantum *-algebras sl,(N + 1,R). (Russian summary) 92k:17031 

Van der Jeugt, Joris On the principal subalgebra of quantum enveloping algebras gl, (/ + 1). 
92m:17030 

Varadarajan, V.S. see Truini, Piero, 92k:17030 

Vinet, Luc see D’Hoker, Eric; et al., 92i:17017 

Wang, Lu Yu see Li, You Quan; et al., 92m:17026 

Wen, Ke Xin see Andersen, Henning Haahr; et al., 92e:17011 


NONASSOCIATIVE RINGS AND ALGEBRAS 


1992 300 


Wenzl, Hans Quantum groups and subfactors of type B, C, and D. 92k:17032 

Wess, Julius see Ogievetskii, O. V., 92e:17017 and Schirrmacher, Arne; et al., 92e:17019 

Wa, A.C. T. see Ge, Mo Lin, 92i:17020 

Wu, Yong Shi! see Jing, Nai Huan; et al., 92k:17023 

Xi, Nan Hua Finite-dimensional modules of some quantum groups over F,(v). 92b:17022 

Xue, Kang see Li, You Quan; et al., 92m:17026 

Yamane, Hiroyuki Universal R-matrices for quantum groups associated to simple Lie 
superalgebras. 92h:17020 

Yan, Hong see Dai, Jian Hui; et al., 92h:17011 

You, Han-Qin (with Zhou, Shan You) On the quantum R-matrix on a U,(sl(2,C))-module. 
924:17017 

Yu, Zu Rong A new method of determining an irreducible representation of quantum S1,(3) 
algebra. I. 92c:17024 

Zachos, Cosmas K. Quantum deformations. 92b:17023 

— Paradigms of quantum algebras. (see 92g:81004) 

Zhang, R. B. (with Gould, M. D.; Bracken, A. J.) Quantum group invariants and link 
polynomials. 92j:17016 

— (with Gould, M. D.; Bracken, A. J.) Generalized Gel’fand invariants of quantum groups. 
92g:17022 

— Invariants of the quantum supergroup U,(gl(m/1)). 92j:17017 

— (with Gould, M. D.; Bracken, A. J.) From representations of the braid group to solutions 
of the Yang-Baxter equation. 92m:17031 

— (with Bracken, A. J.; Gould, M. D.) Solution of the graded Yang-Baxter equation 
associated with the vector representation of U,(osp(M/2n)). 92:17021 

— see also Gould, M. D.; et al., 92h:17014 

Zhou, Shan You see You, Han-Qin, 92d:17017 

Zumino, Bruno see Schirrmacher, Arne; et al., 92e:17019 


Items with secondary classifications in 17B37 

Aizawa, N. see Ui, Haruo, 92b:81082 

Alekseev, A. Yu. (with Shatashvili, S. L.) Quantum groups and WZNW models. 92b:81070 

Aref'eva, I. Ya. (with Volovich, I. V.) Quantum group gauge fields. 92g:81080 

Arnaudon, Daniel (with Chakrabarti, Amitabha) g-analogue of IU(n) for q a root of unity. 
92d:81062 

— Fusion rules and #-matrix for the composition of regular spins with semiperiodic 
representations of SL(2),. 92i:81122 

Avan, Jean (with Talon, Michel) Rational and trigonometric constant nonantisymmetric R- 
matrices. 92b:58083 

— From rational to trigonometric R-matrices. 92i:58070 

Babelon, Olivier Universal exchange algebra for Bloch waves and Liouville theory. 
92i:81205 

— (with Bonora, Loriano) Quantum Toda theory. 92¢:81171 

— (with Bernard, Denis) Dressing transformations and the origin of the quantum group 
symmetries. 92k:81067 

Barth, A. see Caldi, D. G.; et al., 92j:82017 

Basu Mallick, B. see Kundu, A., 92c:81072 

Batchelor, Murray T. (with Kuniba, Atsuo) Temperley-Lieb lattice models arising from 
quantum groups. 92k:82013a 

— (with Kuniba, Atsuo) Corrigendum: “Temperley-Lieb lattice models arising from 
quantum groups”. 92k:82013b 

Baulieu, Laurent (with Floratos, Emmanuel G.) Path integral on the quantum plane. 
92e:81118 

Bazhanov, V. V. (with Stroganov, Yu. G.) Chiral Potts model as a descendant of the six- 
vertex model. 92f:82015 

— (with Kashaev, R. M.) Cyclic L-operator related with a 3-state R-matrix. 92e:82024 

Bellon, M. P. (with Maillard, Jean-Marie; Viallet, Claude-Michel) Infinite discrete 
symmetry group for the Yang-Baxter equations. Vertex models. 92i:82031 

Bernard, Denis see Babelon, Olivier, 92k:81067 

Biedenharn, L.C. (with Lohe, M. A.) Some remarks on quantum groups—a new variation 
on the theme of symmetry. (see 92m:81002) 

— Tensor operator structures in quantum unitary groups. 92h:81069 

— (with Lohe, M. A.) Quantum groups and basic hypergeometric functions. 924:33047 

Bincer, Adam M. Casimir operators for sug(). 92j:81098 

Bonora, Loriano see Babelon, Olivier, 92e:81171 

Bracken, A. J. see Zhang, R. B.; et al., 92d:81067 

Bragiel, Kazimierz On the spherical and zonal spherical functions on a compact quantum 
group. 92h:33041 

Brodimas, G. see Jannussis, A.; et al., 92d:81065 

Caldi, D.G. SU(2), and SU(2) as Hamiltonian symmetries. 92¢:81067 

— (with Chodos, Alan; Zhu, Z.; Barth, A.) The classical su(2) invariance of the su(2),- 
invariant X XZ spin chain. 92j:82017 

Carow-Watamura, U. (with Schlieker, M.; Watamura, Satoshi) SO,(N) covariant differ- 
ential calculus on quantum space and quantum deformation of Schrédinger equation. 
92e:58015 

Cartier, Pierre Développements récents sur les groupes de tresses. Applications a la 
topologie et a l’algébre. [Recent developments on braid groups. Applications to topology 
and algebra] 92d:20053 

Celeghini, Enrico (with Giachetti, Riccardo; Kulish, P. P.; Sorace, Emanuele; Tarlini, 
Marco) Hopf superalgebra contractions and R-matrix for fermions. 92j:81099 

— (with Rasetti, Mario G.; Vitiello,G.) Squeezing and quantum groups. 92c:81062 

Chaichian, Masud (with Ellinas, Demosthenes; Kulish, P. P.) Quantum algebra as the 
dynamical symmetry of the deformed Jaynes-Cummings model. 92b:81071 

— (with Kulish, P. P.; Lukierski, Jerzy) Supercovariant q-oscillators. 92m:81102 

— (with Kulish, P. P.; Lukierski, Jerzy) Supercovariant systems of q-oscillators and q- 
supersymmetric Hamiltonians. 92c:81068 

— (with Isaev, A. P.; Lukierski, Jerzy; Popowicz, Z.; Presnajder, P.) g-deformations of 
Virasoro algebra and conformal dimensions. 92j:81076 

Chakrabarti, Amitabha see Arnaudon, Daniel, 92d:81062 

Chakrabarti, Ranabir (with Jagannathan, Ramaswamy) A (p,q)-oscillator realization of 
two-parameter quantum algebras. 92d:81063 





301 1992 


Chang, Zhe (with Chen, Wei; Guo, Han Ying; Yan, Hong) SU,,,-.0(2) and SU,,,(2), the 
classical and quantum q-deformations of the SU(2) algebra. II. The Hopf algebra, the 
Yang-Baxter equation and multi-deformed algebraic structures. 92¢:81088 

— (with Chen, Wei; Guo, Han Ying; Yan, Hong) SU,,-.0(2) and SU,,,(2), the classical and 
quantum q-deformations of the SU(2) algebra. III. When q is a root of unity. 92i:81125 

— (with Fei, Shao Ming; Guo, Han Ying; Yan, Hong) SU,,,.0(2) and SU,,,(2), the classical 
and quantum q-deformations of the SU(2) algebra. IV. Geometric quantization and Hopf 
algebraic structures. 92m:81103 

— see also Chen, Wei; et al., 92e:81089 and Yan, Hong; et al., 92g:81088 

Chaturvedi, S. (with Srinivasan, V.) Aspects of q-oscillator quantum mechanics. 
92m:81104 

— (with Srinivasan, V.) Para-Bose oscillator as a deformed Bose oscillator. 92m:81105 

Chen, Wei (with Chang, Zhe; Guo, Han Ying) Classical g-deformed harmonic oscillators 
and their f-quantization. (Chinese. English summary) 92e:81089 

— see also Chang, Zhe; et al., 92e:81088; Yan, Hong; et al., 92g:81088 and Chang, Zhe; et al., 
921:81125 

Chen, Yi Xin (with Ni, Guang Jiong) General theory of quantum statistics with internal 
degrees of freedom in two dimensions. 92b:81074 

Cheng, Yi! (with Ge, Mo Lin; Xue, Kang) Yang-Baxterization of braid group representa- 
tions. 92f:20036 

— see also Couture, Michel Josaphat; et al., 92c:82030 

Cherednik, 1. V. Quantum groups as hidden symmetries of classic representation theory. 
92h:17004 

Chodos, Alan see Caldi, D. G.; et al., 92j:82017 

Codriansky, Simén Comments on q-algebras. 92b:81075 

Couture, Michel Josaphat (with Cheng, Yi'; Ge, Mo Lin; Xue, Kang) New solutions of the 
Yang-Baxter equation and their Yang-Baxterization. 92c:82030 

Crane, Louis Conformal field theory, spin geometry, and quantum gravity. 92e:81218 

Cremmer, Eugene (with Gervais, Jean-Loup) The quantum group structure associated with 
nonlinearly extended Virasoro algebras. 92a:81072 

Cuerno, R. Quantum symmetries in the free field realization of W,, algebras. 92m:81106 

Curtright, Thomas L. (with Ghandour, G. I.; Zachos, Cosmas K.) Quantum algebra 
deforming maps, Clebsch-Gordan coefficients, coproducts, R and U matrices. 92e:81090 

Damaskinskii, E. V. (with Kulish, P. P.) Deformed oscillators and their applications. 
(Russian. English summary) 92f:81058 

Daskaloyannis, C. Generalized deformed oscillator and nonlinear algebras. 92e:81091 

Date, Etsuré (with Jimbo, Michio; Miki, Kei; Miwa, Tetsuji) Generalized chiral Potts 
models and minimal cyclic representations of U,(gi(n, C)). 92b:82043 

Demidov, E. E. Function algebras on quantum matrix supergroups. (Russian) 924:16046 

Dipper, Richard (with Donkin, Stephen) Quantum GL,. 92g:16055 

Donkin, Stephen see Dipper, Richard, 92g:16055 

van Driel, Peter see Fuchs, Jiirgen, 92a:81176 

Drinfel’d, V.G. On quasitriangular quasi-Hopf algebras and on a group that is closely 
connected with Gal(Q/Q). (Russian) 92f:16047 

Ellinas, Demosthenes Studies in Lie and quantum algebras. 92a:81073 

— see also Chaichian, Masud; et al., 92b:81071 

Fairlie, D. B. Polynomial algebras with g-Heisenberg operators. 92b:81076 

— (with Zachos, Cosmas K.) Multiparameter associative generalizations of canonical 
commutation relations and quantized planes. 92¢:81092 

Fei, Shao Ming (with Guo, Han Ying) Symplectic geometry of SU, ,.0(2) and SU,,,(2) 
algebras. 92g:81083 

— Hopf algebraic structures of SUg,,~.0(2) and SU,,,(2) algebras, monopoles and symplectic 
geometry on 2D manifolds. 92j:81101 

— see also Chang, Zhe; et al., 92m:81103 

Filippov, A. T. (with Gangopadhyay, Debashis; Isaev, A. P.) Harmonic oscillator realization 
of the canonical g-transformation. 92b:81077 

Flato, Moshé (with Lu, Zhi Cheng) Remarks on quantum groups. 92g:81084 

Floratos, Emmanuel G. Manin’s quantum spaces and standard quantum mechanics. 
92a:81074 

— see also Baulieu, Laurent, 92e:81118 

Floreanini, Roberto (with Vinet, Luc) q-analogues of the para-Bose and para-Fermi 
oscillators and representations of quantum algebras. 924:81069 

— (with Spiridonov, V. P.; Vinet, Luc) q-oscillator realizations of the quantum superalge- 
bras sl,(m, n) and osp,(m, 2). 92i:81127 

— (with Spiridonov, V. P.; Vinet, Luc) q-oscillator realizations of the quantum superalge- 
bras sl,(m, n) and osp,(m,2n). 92a:81075 

— (with Leites, D. A.; Vinet, Luc) On the defining relations of quantum superalgebras. 
92m:17010 

Frahm, Holger On the construction of integrable X X Z Heisenberg models with arbitrary 
spin. 92m:82039 

Freidel, L. (with Maillet, Jean-Michel) On classical and quantum integrable field theories 
associated to Kac-Moody current algebras. 92:81166 

Fuchs, Jiirgen (with van Driel, Peter) WZW fusion rules, quantum groups, and the modular 
matrix S.. 92a:81176 

Furlan, Paolo (with Ganchev, A. Ch.; Petkova, V. B.) Quantum groups and fusion rules 
multiplicities. 92f:81059 

— (with Stanev, Yassen S.; Todorov, Ivan T.) Coherent state operators and n-point 
invariants for U,(sl(2)). 92h:81070 

Ganchev, A. Ch. see Furlan, Paolo; et al., 92f:81059 

Gangopadhyay, Debashis see Filippov, A. T.; et al., 92b:81077 

Gawedzki, Krzysztof Geometry of Wess-Zumino-Witten models of conformal field theory. 
92g:81170 

— Classical origin of quantum group symmetries in Wess-Zumino-Witten conformal field 
theory. 92h:81153 

Ge, Mo Lin (with Xue, Kang) Exotic solutions of Yang-Baxter equation and the quantum 
group structure. 92¢:20074 

— (with Wang, Lu Yu; Kong, X. P.) Yang-Baxterization of braid group representation 
associated with the seven-dimensional representation of G2. 92c:81070 

— (with Liu, Guang Chun; Xue, Kang) New solutions of Yang-Baxter equations: Birman- 
Wenzl algebra and quantum group structures. 92g:82032 


17B Lie algebras 


17B37 


— (with Liu, Xu Feng; Sun, Chang Pu) Nonstandard R-matrices for the Yang-Baxter 
equation and boson representations of the quantum algebra sl,(2) with g? = +1. 
92:81060 

— see also Couture, Michel Josaphat; et al., 92c:82030; Cheng, Yi’; et al., 92f:20036; Sun, 
Chang Pu, 92f:81063; 92k:81072 and Braid group, knot theory and statistical mechanics, 
92i:57011 

Gervais, Jean-Loup Lie and quantum group structures common to integrable and conformal 
theories. (see 92h:81009) 

— W-algebras, W-strings, and quantum groups. (see 92m:81226) 

— Two-dimensional gravity: quantum group structure of the continuum theory. 92m:81245 

— see also Cremmer, Eugene, 92a:81072 

Ghandour, G.I. see Curtright, Thomas L.; et al., 92¢:81090 

Giachetti, Riccardo see Celeghini, Enrico; et al., 92j:81099 

Ginzburg, V. A. Lagrangian construction of the enveloping algebra U(sl,,). (French 
summary) 92c:17017 

Gomez, César Quantum groups and conformal field theory. (see 92h:81009) 

— (with Sierra, German) Integrability and quantum symmetries. 92i:81279 

— (with Sierra, German) Quantum groups, Riemann surfaces and conformal field theory. 
92h:81071 

Goodman, Frederick M. (with Nakanishi, Tomoki) Fusion algebras in integrable systems in 
two dimensions. 92i:81281 

Gould, M. D. see Zhang, R. B.; et al., 92d:81067 

Gromov, N. A. (with Man‘ko, V. I.) Contractions and analytic continuations of the 
irreducible representations of the quantum algebra su,(2). (see 92g:81003) 

Guadagnini, E. (with Martellini, Maurizio; Mintchev, M.) Chern-Simons holonomies and 
the appearance of quantum groups. 92c:81071 

Guo, Han Ying see Chang, Zhe; et al., 92e:81088; Chen, Wei; et al., 92e:81089; Fei, Shao 
Ming, 92g:81083; Yan, Hong; et al., 92g:81088; Chang, Zhe; et al., 92i:81125 and 
92m:81103 

Hazewinkel, Michiel Introductory recommendations for the study of Hopf algebras in 
mathematics and physics. 92h:16035 

Hinrichsen, Haye (with Rittenberg, Viadimir) A two-parameter deformation of the 
SU(1|1) superalgebra and the X Y quantum chain in a magnetic field. 92m:82041 

Hojman, Sergio A. Quantum algebras in classical mechanics. 924:81064 

Hou, Bo Yu (with Yang, Zhong Xia) The Bethe ansatz solutions to the X XZ model and the 
highest weight states of quantum groups. (Chinese. English summary) 924:82027 

— (with Hou, Bo Yuan; Ma, Zhong Qi) The X XZ model with Beraha values. 92m:82024 

Hou, Bo Yuan see Hou, Bo Yu; et al., 92m:82024 

Isaev, A. P. (with Popowicz, Z.) g-deformations of conformal algebra and its central 
extension. 92m:17043 

— see also Filippov, A. T.; et al., 92b:81077 and Chaichian, Masud; et al., 92j:81076 

Itoh, Takashi? (with Yamada, Yasuhiko) Explicit exchange relations in the SL(2) Wess- 
Zumino-Novikov-Witten model. 92m:81249 

— (with Yamada, Yasuhiko) Exchange relations in Wess-Zumino-Novikov-Witten model 
and quantum groups. 92g:81174 

Jagannathan, Ramaswamy see Chakrabarti, Ranabir, 92d:81063 

Jannussis, A. (with Brodimas, G.; Mignani, R.) Quantum groups and Lie-admissible time 
evolution. 92d:81065 

Jimbo, Michio see Date, Etsurd; et al., 92b:82043 

Jiménez Lorenzo, Fernando Quantum group symmetry of N = | superconformal field 
theories. 92g:81085 

Jing, Nai Huan On a trace of qg-analog vertex operators. 92e:17032 

Jing, Si Cong (with Xu, Jian Jun') Comment on the q-deformed fermionic oscillator. 
92j:81102 

Juréo, Branislav On coherent states for the simplest quantum groups. 92b:81079 

Kachurik, I. 1. (with Klimyk, A. U.) On Racah coefficients of the quantum algebra U,(su2). 
92a:33011 

Kashaev, R. M. (with Mangazeev, V. V.) The four-state solution of the Yang-Baxter 
equation. 92a:82035 

— (with Mangazeev, V. V.; Stroganov, Yu. G.) Cyclic eight-state R-matrix related to 
U,(sl(3)) algebra at g? = —1. 92i:82035 

— see also Bazhanov, V. V., 92e:82024 

Katriel, Jacob (with Solomon, Allan I.) Generalized q-bosons and their squeezed states. 
92e:81093 

— (with Solomon, Allan I.) A q-analogue of the Campbell-Baker-Hausdorff expansion. 
92j:81103 

Kauffman, Louis H. From knots to quantum groups (and back). 92h:57009 

— From knots to quantum groups and back. 92b:57014 

Khadzhiivanov, L. K. (with Paunov, R. R.; Todorov, Ivan T.) Extended chiral conformal 
theories with a quantum symmetry. 92m:81251 

— (with Paunov, R. R.; Todorov, Ivan T.) Quantum group extended chiral p-models. 
92g:81175 

Kharitonov, Yu. I. see Smirnov, Yu. F.; et al., 92¢:81098; 92j:81107 and 92k:81071 

Kirby, Robion (with Melvin, Paul M.) The 3-manifold invariants of Witten and 
Reshetikhin-Turaev for sl(2,C). 92e:57011 

Klimyk, A. U. see Kachurik, I. 1., 92a:33011 

Koelink, H. Tjerk On +-representations of the Hopf +-algebra associated with the quantum 
group U,(n). 92b:16080 

Kohno, Toshitake Monodromy of braid groups in conformal field theory and positive 
Markov traces. 92¢:20027 

Kong, X. P. see Ge, Mo Lin; et al., 92c:81070 

Koornwinder, Tom H. Orthogonal polynomials in connection with quantum groups. 
92i:33018 

— The addition formula for little g-Legendre polynomials and the SU(2) quantum group. 
92:33025 


Korogodskii, L. I. see Vaksman, L. L. 
x Pa 


h 





h, Yvette Errata: “Quantum and classical Yang-Baxter equations” 
[Modern Phys. Lett. A 5 (1990), no. 13, 981-990; MR 91g:58117]. 

Krélikowski, Wojciech Algebraically deformed harmonic oscillator and its prospects. 
92e:81094 





17B37 


Kulish, P. P. Quantum algebras and symmetries of dynamical systems. (see 92g:81003) 

— (with Sklyanin, E. K.) The general U,[sl(2)] invariant X XZ integrable quantum spin 
chain. 92h:82038 

— Finite-dimensional Zamolodchikov-Faddeev algebra and q-oscillators. 92m:81107 

— see also Chaichian, Masud; et al., 92b:81071; 92c:81068; Damaskinskii, E. V., 92f:81058; 
Celeghini, Enrico; et al., 92j:81099 and Chaichian, Masud; et al., 92m:81102 

Kundu, A. (with Basu Mallick, B.) g-deformation of the Holstein-Primakoff transformation 
and other bosonisations of the quantum group. 92¢:81072 

Kuniba, Atsuo Exact solution of solid-on-solid models for twisted affine Lie algebras Ae) 
and AY) |. 92b:82047 

— (with Nakanishi, Tomoki; Suzuki, Junji) Ferro- and antiferro-magnetizations in RSOS 
models. 92m:82043 

— (with Suzuki, Junji) Exactly solvable Gy) solid-on-solid models. 92m:82044 

— see also Batchelor, Murray T., 92k:82013a and 92k:82013b 

Kupershmidt, Boris A. Conformally multiplicative Poisson structures in linear algebra and 
algebraic geometry. 92f:58011 

Lakshmibai, Venkatramani (with Reshetikhin, N. Yu.) Quantum deformations of flag and 
Schubert schemes. (French summary) 92f:14053 

Lawrence, R. J. A universal link invariant using quantum groups. 92e:57012 

— A universal link invariant. 92e:57013 

Leites, D. A. see Floreanini, Roberto; et al., 92m:17010 

Levendorskii, S. Z. (with Soibel/man, Ya. S.) Algebras of functions on compact quantum 
groups, Schubert cells and quantum tori. 92h:58020 

Liao, Li (with Song, Xing Chang) g-deformation of Lie superalgebras B(m,n), B(0,n), 
C(1 +n) and D(m, n) in their boson-fermion representations. 92j:81104 

Lickorish, W. B. R. Three-manifolds and the Temperley-Lieb algebra. 92e:57014 

Liu, Guang Chun see Ge, Mo Lin; et al., 92g:82032 

Liu, Xu Feng see Ge, Mo Lin; et al., 92f:81060 and Sun, Chang Pu; et al., 92k:81072 

Lohe, M. A. see Biedenharn, L. C., 924:33047 and (92m:81002) 

Li, Jing Fa see Sun, Chang Pu; et al., 92k:81072 

La, Zhi Cheng see Flato, Moshé, 92g:81084 

Lukierski, Jerzy (with Ruegg, Henri; Nowicki, Anatol Andrzej; Tolstoi, V.N.) q- 
deformation of Poincaré algebra. 92i:81129 

— see also Chaichian, Masud; et al., 92c:81068; 92j:81076 and 92m:81102 

Ma, Zhong Qi Quantum sl(2) enveloping algebra and representations of braid group. (see 
92h:81008) 

— The spectrum-dependent solutions to the Yang-Baxter equation for quantum E, and E7. 
92a:82036 

— see also Hou, Bo Yu; et al., 92m:82024 

Macfarlane, A. J. (with Majid, Shahn) Quantum group structure in a fermionic extension 
of the quantum harmonic oscillator. 92k:81069 

Mack, Gerhard (with Schomerus, Volker) Quasi quantum group symmetry and local braid 
relations in the conformal Ising model. 92g:81087 

Maillard, Jean-Marie see Bellon, M. P.; et al., 92i:82031 

Maillet, Jean-Michel see Freidel, L., 92f:81166 

Majid, Shahn Quantum groups and quantum probability. 92m:81108 

— (with Soibel/man, Ya. S.) Chern-Simons theory, modular functions and quantum 
mechanics in an alcove. 92f:81061 

— Reconstruction theorems and rational conformal field theories. 92m:81257 

— Quasi-quantum groups as internal symmetries of topological quantum field theories. 
92i:81130 

— see also Macfarlane, A. J., 92k:81069 

Mangazeev, V. V. see Kashaev, R. M., 922:82035 and 92i:82035 

Manin, Yu. I. * Topics in noncommutative geometry. 92k:58024 

Man’ko, V.1I. see Gromov, N. A., (92g:81003) 

Manocha, H. L. On models of irreducible g-representations of sl(2,C). 92h:33042 

Martellini, Maurizio see Guadagnini, E.; et al., 92c:81071 

Martin-Delgado, M. A. A physical interpretation of the quantum group %(SU(2)). 
92i:82016 

Masuda, Tetsuya (with Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; 
Ueno, Kimio) Representation of quantum groups. 924:46156 

— (with Watanabe, Junsei) Sur les espaces vectoriels topologiques associés aux groupes 
quantiques SU,(2) et SU,(1, 1). (English summary) [On the topological vector spaces 
associated with the quantum groups SU,(2) and SU,(1,1)] 92b:58022 

Matthes, Rainer An example of a differential calculus on the quantum complex n-space. 
92:58012 

Melvin, Paul M. see Kirby, Robion, 92e:57011 

Merkuiov, S. A. Quantum m x n-matrices and qg-deformed Binet-Cauchy formula. 
92j:81105 

— Quantum deformation of compactified Minkowski space. 92k:32057 

Mezincescu, Luca (with Nepomechie, Rafael I.; Rittenberg, Vladimir) Bethe ansatz 
solution of the Fateev-Zamolodchikov quantum spin chain with boundary terms. 
92e:82029 

— (with Nepomechie, Rafael I.) Integrable higher-spin chains with SU,(2) symmetry. 
92d:82029 

— (with Nepomechie, Rafael I.) Quantum algebra structure of exactly soluble quantum spin 
chains. 92h:82039 

Michaelis, Walter On the dual Lie coalgebra of the Witt algebra. (see 92f:81008) 

Mignani, R. see Jannussis, A.; et al., 92d:81065 

Miki, Kei see Date, Etsuré; et al., 92b:82043 

Mimachi, Katsuhisa see Noumi, Masatoshi, 92b:33049; Masuda, Tetsuya; et al., 92d:46156 
and Noumi, Masatoshi, 92g:33030 

Mintchev, M. see Guadagnini, E.; et al., 92c:81071 

Mir-Kasimov, R. M. SU,(1, 1) and the relativistic oscillator. 92j:81106 

Miwa, Tetsuji see Date, Etsurd; et al., 92b:82043 

Montgomery, S. (with Smith, S. Paul) Skew derivations and U,(sl(2)). 92¢e:16027 

Mukhin, E.E. Yang-Baxter operators and the noncommutative de Rham complex. 
(Russian) 92k:17004 

Nakagami, Yoshiomi see Masuda, Tetsuya; et al., 92d:46156 


NONASSOCIATIVE RINGS AND ALGEBRAS 1992 302 


Nakanishi, Tomoki see Goodman, Frederick M., 92i:81281 and Kuniba, Atsuo; et al., 
92m:82043 

Nakatsu, Toshio Quantum group approach to affine Toda field theory. 92m:81109 

Nelson, Jeanette E. (with Regge, Tullio) Quantum gravity and quantum groups. 92e:81095 

Nepomechie, Rafael I. Integrable quantum chains and quantum groups. (see 92m:81226) 

— see also Mezincescu, Luca, 924:82029; 92e:82029 and 92h:82039 

Ni, Guang Jiong see Chen, Yi Xin, 92b:81074 

Nomura, Masao Various kinds of relations for 3n-j symbols of quantum group SU,(2). 
92e:81096 

— Representation functions d/,, of U[sl,(2)] as wave functions of “quantum symmetric 
tops” and relationship to braiding matrices. 92¢e:81097 

— Recoupling and braiding of angular momenta in theories of U,sl(2). 92i:81131 

— Co- and contra-variant tensors of a general rank in quantum matrix algebras su,(2) 
expressed by creation-annihilation operators. I. 92m:81110 

Noumi, Masatoshi (with Mimachi, Katsuhisa) Big g-Jacobi polynomials, g-Hahn 
polynomials, and a family of quantum 3-spheres. 92b:33049 

— (with Mimachi, Katsuhisa) Rogers’s g-ultraspherical polynomials on a quantum 2-sphere. 
92g:33030 

— see also Masuda, Tetsuya; et al., 924:46156 

Nowicki, Anatol Andrzej see Lukierski, Jerzy; et al., 92i:81129 

Odaka, Kazuhiko Fermionic g-oscillators and associated canonical g-transformations. 
92k:81070 

Olshanskii, G. I. Representations of infinite-dimensional classical groups, limits of 
enveloping algebras, and Yangians. 92g:22039 

Ozawa, Tetsuya Quantization of a Poisson algebra and polynomials associated to links. 
92e:16028 

Pan, Feng Irreducible tensor operators for the quantum algebra su(2),. 92f:81062 

Parthasarathy, Ragavachariar (with Viswanathan, K.S.) A g-analogue of the supersymmet- 
ric oscillator and its g-superalgebra. 92h:81072 

Paunov, R. R. see Khadzhiivanov, L. K.; et al., 92g:81175 and 92m:81251 

Petkova, V. B. see Furlan, Paolo; et al., 92f:81059 

Polychronakos, Alexios P. Aspects of g-Virasoro algebra. 92g:17039 

Popowicz, Z. see Chaichian, Masud; et al., 92j:81076 and Isaev, A. P., 92m:17043 

PreSnajder, P. see Chaichian, Masud; et al., 92j:81076 

Pusz, Wieslaw Twisted canonical anticommutation relations. 92i:81132 

Quesne, C. Coherent states, K-matrix theory and q-boson realizations of the quantum 
algebra su,(2). 92b:81080 

Rajeswari, V. (with Srinivasa Rao, K.) Note on the explicit forms for the Clebsch-Gordan 
coefficient of the quantum group SU,(2). 92i:81133 

Ramirez Romero, Cupatitzio (with Ruegg, Henri; Ruiz-Altaba, M.) Coulomb gas realization 
of simple quantum groups. (see 92g:81003) 

Rasetti, Mario G. see Celeghini, Enrico; et al., 92c:81062 

Regge, Tullio see Nelson, Jeanette E., 92e:81095 

Reshetikhin, N. Yu. Invariants of links and 3-manifolds related to quantum groups. (see 
92m:00054) 

— (with Turaev, V.G.) Invariants of 3-manifolds via link polynomials and quantum groups. 
92b:57024 

— see also Lakshmibai, Venkatramani, 92f:14053 

Rittenberg, Viadimir (with Schiitz,G.) Patterns of U,[SU(2)] symmetry breaking in 
Heisenberg quantum chains. 92h:82032 

— (with Scheunert, M.) Tensor operators for quantum groups and applications. 92k:16054 

— see also Mezincescu, Luca; et al., 92e:82029 and Hinrichsen, Haye, 92m:82041 

Roche, Ph. Ocneanu cell calculus and integrable lattice models. 92¢:82030 

Ruegg, Henri see Lukierski, Jerzy; et al., 92i:81129 and Ramirez Romero, Cupatitzio; et al., 
(92g:81003) 

Ruiz-Altaba, M. see Ramirez Romero, Cupatitzio; et al., (92g:81003) 

Saleur, Hubert Symmetries of the X X chain and applications. (see 92m:81271) 

Scheunert, M. see Rittenberg, Viadimir, 92k:16054 

Schirrmacher, Arne Multiparameter R-matrices and their quantum groups. 92m:16060 

Schlieker, M. (with Scholl, Marcus) Spinor calculus for quantum groups. 92e:58019 

— see also Carow-Watamura, U.; et al., 92e:58015 

Schmidke, W. B. (with Vokos, S. P.; Zumino, Bruno) Differential geometry of the quantum 
supergroup GL,(1|1). 92g:58008 

Schmiidgen, Konrad Eine Einfiihrung in die Theorie der Quantenmatrixgruppen. [An 
introduction to the theory of quantum matrix groups] 92g:46087 

Scholl, Marcus see Schlieker, M., 92e:58019 

Schomerus, Volker see Mack, Gerhard, 92g:81087 

Schiitz, G. see Rittenberg, Vladimir, 92h:82032 

Schwenk, Jochen Differential calculus for the n-dimensional quantum plane. 92g:58009 

Sergeev, S. M. Es level two RSOS model. 92i:82036 

Shatashvili, S. L. see Alekseev, A. Yu., 92b:81070 

Sierra,German Duality and quantum groups. 92k:81194 

— see also Gémez, César, 92h:81071 and 92i:81279 

Sklyanin, E. K. see Kulish, P. P., 92h:82038 

Smirnov, F. A. Quantum groups and generalized statistics in integrable models. 92a:81076 

Smirnov, Yu. F. (with Tolstoi, V. N.) Extremal projectors for usual, super and quantum 
algebras and their use for solving Yang-Baxter problem. 92c:82034 

— (with Tolstoi, V. N.; Kharitonov, Yu. I.) Projection operator method and q-analog of 
angular momentum theory. 92j:81107 

— (with Tolstoi, V. N.; Kharitonov, Yu. I.) Method of projection operators and the g 
analog of the quantum theory of angular momentum. Clebsch-Gordan coefficients and 
irreducible tensor operators. (Russian) 92e:81098 

— (with Tolstoi, V. N.; Kharitonov, Yu. I.) Projection-operator method and the g analog of 
the quantum theory of angular momentum. Racah coefficients, 3j and 6j symbols, and 
their symmetry properties. (Russian) 92k:81071 

Smith, S. Paul see Montgomery, S., 92e:16027 

Sochen, Nir Integrable models through representations of the Hecke algebra. 92i:82037 

Soibelman, Ya. S. see Vaksman, L. L., 92e:58021; Majid, Shahn, 92f:81061 and Leven- 
dorskii, S. Z., 92h:58020 

Solomon, Allan I. see Katriel, Jacob, 92e:81093 and 92j:81103 





303 1992 


Song, Xing Chang The construction of the g-analogues of the harmonic oscillator operators 
from ordinary oscillator operators. 92b:81081 

— see also Liao, Li, 92j:81104 

Soni, S. K. Comment on the differential calculus on quantum planes. 924:58009 

— Differential calculus on the quantum superplane. 92e:58020 

— Covariant differential calculus on the quantum superplane and generalization of the Wess- 
Zumino formalism. 92f:58013 

Sorace, Emanuele see Celeghini, Enrico; et al., 92j:81099 

Spiridonov, V. P. see Floreanini, Roberto; et al., 92a:81075 and 92i:81127 

Srinivasan, V. see Chaturvedi, S., 92m:81104 and 92m:81105 

Srinivasa Rao, K. see Rajeswari, V., 92i:81133 

Stanev, Yassen S. see Furlan, Paolo; et al., 92h:81070 

Stroganov, Yu. G. see Bazhanov, V. V., 92f:82015 and Kashaev, R. M.,; et al., 92i:82035 

Sun, Chang Pu (with Ge, Mo Lin) The g-deformed boson realization of representations 
of quantum universal enveloping algebras for g a root of unity. I. The case of U,SL(/). 
92£:81063 

— (with Liu, Xu Feng; Lii, Jing Fa; Ge, Mo Lin) A q-deformed oscillator system with 
quantum group SL,(/) symmetry. 92k:81072 

— see also Ge, Mo Lin; et al., 92£:81060 

Suzuki, Junji see Kuniba, Atsuo; et al., 92m:82043 and 92m:82044 

Takeuchi, Mitsuhiro Matric bialgebras and quantum groups. 92f:16050 

— A two-parameter quantization of GL(n) (summary). 92f:16049 

Takhtadzhyan, L. A. Quantum groups and integrable models. 924:58090 

Talon, Michel see Avan, Jean, 92b:58083 

Tarlini, Marco see Celeghini, Enrico; et al., 92j:81099 

Todorov, Ivan T. Extended chiral conformal models with a quantum group symmetry. 
92i:81312 

— see also Khadzhiivanov, L. K.; et al., 92g:81175; Furlan, Paolo; et al., 92h:81070 and 
Khadzhiivanov, L. K.; et al., 92m:81251 

Tolstoi, V.N. see Smirnov, Yu. F., 92c:82034; 92e:81098; Lukierski, Jerzy; et al., 92i:81129; 
Smirnov, Yu. F.; et al., 92j:81107 and 92k:81071 

Turaev, V.G. see Reshetikhin, N. Yu., 92b:57024 

Ueno, Kimio see Masuda, Tetsuya; et al., 92d:46156 

Ui, Haruo (with Aizawa, N.) g-analogue of boson commutator and the quantum groups 
SU, (2) and SU,(1, 1). 92b:81082 

Vaksman, L. L. (with Soibel/man, Ya. S.) Algebra of functions on the quantum group 
SU(n + 1), and odd-dimensional quantum spheres. (Russian) 92¢:58021 

— (with Korogodskii, L. I.) Spherical functions on the quantum group SU(1, 1) and a g- 
analogue of the Mehler-Fock formula. (Russian) 

de Vega, H. J. Yang-Baxter algebras and quantum groups. 92d:81066 

— Yang-Baxter algebras, integrable theories and quantum groups. 92k:82018 

Viallet, Claude-Michel see Bellon, M. P.; et al., 92i:82031 

Vinet, Luc see Floreanini, Roberto; et al., 92a:81075; 92d:81069; 92i:81127 and 92m:17010 

Viswanathan, K.S. see Parthasarathy, Ragavachariar, 92h:81072 

Vitiello, G. see Celeghini, Enrico; et al., 92c:81062 

Vokos, S. P. see Schmidke, W. B.; et al., 92g:58008 

Volovich, I. V. see Arefeva, I. Ya., 92g:81080 

Wang, Lu Yu see Ge, Mo Lin; et al., 92c:81070 

Watamura, Satoshi see Carow-Watamura, U.; et al., 92e:58015 

Watanabe, Junsei see Masuda, Tetsuya, 92b:58022 

Wess, Julius (with Zumino, Bruno) Covariant differential calculus on the quantum 
hyperplane. 92g:58011 

Witten, Edward Gauge theories, vertex models, and quantum groups. 92b:82051 

Wu, Ping Feng (with Xiao, Pei Shan; Zhou, Huan Qiang) g-analogues of the quantum 
harmonic oscillator and a realization of the quantum group SU, (1, 1). (Chinese. English 
summary) 92k:81073 

Xiao, Pei Shan see Wu, Ping Feng; et al., 92k:81073 

Xu, Jian Jun' see Jing, Si Cong, 92j:81102 

Xue, Kang see Ge, Mo Lin, 92c:20074; Couture, Michel Josaphat; et al., 92c:82030; Cheng, 
Yi’; et al., 92f:20036 and Ge, Mo Lin; et al., 92g:82032 

Yamada, Yasuhiko see Itoh, Takashi”, 92g:81174 and 92m:81249 

Yan, Hong g-deformed oscillator algebra as a quantum group. 92a:81077 

— (with Chen, Wei; Chang, Zhe; Guo, Han Ying) A kind of g-deformed oscillators and their 
nonbosonic excitations when g* = 1. (Chinese. English summary) 92g:81088 

— see also Chang, Zhe; et al., 92e:81088; 92i:81125 and 92m:81103 

(Yang, Chen Ning) see Braid group, knot theory and statistical mechanics, 92i:57011 

Yang, Zhong Xia see Hou, Bo Yu; et al., 92d:82027 

Yoshinaga, Shinichi An invariant of spatial graphs associated with U,(sl(2,C)). 92m:57018 

Yu, Zu Rong g-Usui operator of some quantum algebras. 92k:81074 

Zachos, Cosmas K. Quantum maps for deformed algebras. (see 92i:81010) 

— see also Curtright, Thomas L.; et al., 92e:81090 and Fairlie, D. B., 92¢:81092 

Zhang, R. B. (with Gould, M. D.; Bracken, A. J.) Solutions of the graded classical Yang- 
Baxter equation and integrable models. 92d:81067 

— Multiparameter dependent solutions of the Yang-Baxter equation. 92h:82042 

Zhedanov, A.S. The “Higgs algebra” as a “quantum” deformation of SU(2). 92k:81075 

Zhou, Huan Qiang see Wu, Ping Feng; et al., 92k:81073 

Zhu, Z. see Caldi, D. G.; et al., 92j:82017 

Zumino, Bruno see Schmidke, W. B.; et al., 92g:58008 and Wess, Julius, 92g:58011 


Items listed otherwise than by author 

Braid group, knot theory and statistical mechanics * Braid group, knot theory and statistical 
mechanics. 92i:57011 

Combinatorial aspects in representation theory and geometry * Combinatorial aspects in 
representation theory and geometry. 92m:17001 

Symposium: 
Combinatorial Aspects in Representation Theory and Geometry * Combinatorial aspects 

in representation theory and geometry. 92m:17001 


17B Lie algebras 


17B40 Automorphisms, derivations, other operators 


Bryant, Roger M. On the fixed points of a finite group acting on a free Lie algebra. 
92g:17023 

Kagarmanov, A. A. A standard Lie polynomial of degree 8 on the Lie algebra W2. (Russian) 
92j:17018 

Krasil’shchik, I. S. Supercanonical algebras and Schouten brackets. (Russian) 92c:17025 

Vaniura, Jiti Derivations on the Nijenhuis-Schouten bracket algebra. 92a:17023 

Zhao, Kai Ming Quasirational automorphisms of finite-dimensional simple Lie algebras. 
(Chinese) 


Items with secondary classifications in 17B40 

Chanyshev, A. D. Local finite-dimensionality of algebraic Lie algebras. (Russian) 
92g:17004 

Drenski, Veselin S. Automorphisms of relatively free algebras. 92a:16045 

Hauser, Herwig (with Miiller, Gerd) Analytic varieties versus integral varieties of Lie 
algebras of vector fields. 92j:32017 

Hopkins, Nora C. Simplicity of Lie module triple systems. 92i:17002 

Hou, Zi Xin (with Kang, Wei) Structures of Cartan groups of real simple Lie algebras. 
92d:17002 

Kang, Wei see Hou, Zi Xin, 92d:17002 

Khakimdzhanov, Yu. B. Derivations of some infinite-dimensional topologically nilpotent Lie 
algebras. (Russian) 92b:17032 

Khukhro, E. I. Lie rings and groups that admit an almost regular automorphism of prime 
order. (Russian) 92d:20041 

Kuznetsov, M. 1. The Melikyan algebras as Lie algebras of the type G2. 924:17004 

Miiller, Gerd see Hauser, Herwig, 92j:32017 

Nakanishi, Nobutada On the structure of infinitesimal automorphisms of linear Poisson 
manifolds. I, II. 92b:58073 

Oziewicz, Zbigniew Remarks on the differential identities in Schouten-Nijenhuis algebra. 
92i:17041 

Papistas, Athanassios A note on automorphism group of an n-generator nilpotent Lie 
algebra. 92c:20073 


17B45 Lie algebras of linear algebraic groups [see also 14Lxx 
and 20Gxx] 


Cao, You An Automorphisms of certain Borel subgroups. (Chinese summary) 92c:17026 

Friedlander, Eric Mark (with Parshall, Brian J.) Induction, deformation, and specialization 
of Lie algebra representations. 92h:17021 

Hulsurkar, S.G. Nonplanarity of graphs on Weyl groups. 92a:17024 

Klink, W. H. (with Ton-That, Tuong) Invariant theory of the block diagonal subgroups of 
GL(n, C) and generalized Casimir operators. 92m:17032 

Parshall, Brian J. see Friedlander, Eric Mark, 92h:17021 

Ton-That, Tuong see Klink, W. H., 92m:17032 


Items with secondary classifications in 17B45 


Jantzen, Jens Carsten First cohomology groups for classical Lie algebras. 92e:17024 

Kurtzke, John F. Centers of centralizers in reductive algebraic groups. 92j:20043 

Ohta, Takuya Classification of admissible nilpotent orbits in the classical real Lie algebras. 
92j:22032 

Panyushev, D. I. Rationality of singularities and the Gorenstein property of nilpotent orbits. 
(Russian) 92i:14047 


17B50 Modular Lie algebras 


Brown, Gordon Elliott Structure of certain simple Lie algebras of characteristic three. 
92a:17025 

— On the structure of some Lie algebras of Kuznetsov. 92k:17033 

El'sting, G. O. A class of simple modular Lie algebras of dimension < p*. (Russian) 
92i:17024 

Farnsteiner, Rolf (with Strade, Helmut) Shapiro’s lemma and its consequences in the 
cohomology theory of modular Lie algebras. 92d:17018 

Feldvoss, Jorg (with Strade, Helmut) Restricted Lie algebras with bounded cohomology 
and related classes of algebras. 92m:17033 

Holmes, Randall R. Simple restricted modules for the restricted contact Lie algebras. 
92m:17034 

Jantzen, Jens Carsten First cohomology groups for classical Lie algebras. 92e:17024 

Kuznetsov, M. I. On Lie algebras of contact type. 92a:17026 

Neuhaus, Ralph Properties of generic p-polynomials. 92d:17019 

Panyukov, V. V. Solvability of Lie algebras of positive characteristic. (Russian) 92a:17027 

Schue, John Enveloping algebras and division rings for Lie p-algebras. 92a:17028 

Serconek, Shirlei (with Wilson, Robert Lee) Classification of forms of restricted simple Lie 
algebras of Cartan type. 92e:17025 

Skryabin, S. M. Modular Lie algebras of Cartan type over algebraically nonclosed fields. I. 
92j:17019 

Strade, Helmut New methods in the classification of simple modular Lie algebras. (Russian) 
92d:17020 

— The classification of the simple modular Lie algebras. III. Solution of the classical case. 
92g:17024 

— Representations of the (p? — 1)-dimensional Lie algebras of R. E. Block. 92g:17025 

— see also Farnsteiner, Rolf, 92d:17018 and Feldvoss, Jorg, 92m:17033 

Wilson, Robert Lee see Serconek, Shirlei, 92e:17025 

Winter, David J. The structure of symmetric Lie algebras. 92a:17029 

Zhang, Yong Zheng The Lie algebra K(m,n) for characteristic 3. (Chinese. English 
summary) 92i:17025 


Items with secondary classifications in 17B50 


Farnsteiner, Rolf Extension functors of modular Lie algebras. 92b:17027 
— On the cohomology of ring extensions. 92c:16010 





17B50 


— Cohomology groups of reduced enveloping algebras. 92c:17029 

Feldvoss, Jérg On the cohomology of restricted Lie algebras. 92k:17034 

Hailat, Mohammad Q. Lie algebras and symmetrysets. 92i:17011 

— Decomposition of special Jacobi sets. 92i:17012 

Mathieu, Olivier Bicontinuity of the Dixmier map. 92i:17013 

Mikhalev, A. A. Embedding of Lie superalgebras of countable rank into Lie superalgebras 
with two generators. (Russian) 92b:17048 

Nakano, Daniel K. Projective modules over Lie algebras of Cartan type. 92k:17013 

Osborn, J. Marshall Examples of dimensionally nilpotent Lie algebras of prime characteris- 
tic. 92e:17009 

Petrogradskii, V.M. The existence of an identity in a bounded envelope. (Russian) 
92d:17012 

— Identities in the enveloping algebras for modular Lie superalgebras. 92m:17013 

Qiu, Sen The second restricted cohomology of Witt algebras. (Chinese. English summary) 
92b:17029 

Rickard, Jeremy The representation type of self-injective algebras. 92f:16015 

Rips, Eliyahu (with Shalev, Aner) Lie properties of modular group algebras. (see 
92c:20003) 

Shalev, Aner see Rips, Eliyahu, (92c:20003) 


17B55 Homological methods in Lie algebras 


Carles, Roger Déformations et éléments nilpotents dans les schémas définis par les identités 
de Jacobi. (English summary) [Deformations and nilpotent elements in schemes defined 
by the Jacobi identities] 92c:17027 

Devi, Leela (with Ramabhadran, N.) Cohesively related pairs of extensions of sheaves of 
Lie algebras. 92g:17026 

Fialowski, Alice (with O’Halloran, Joyce) A comparison of deformations and orbit closure. 
92b:17024 

Franco, L. On free crossed modules of Lie algebras. (Spanish) (see 92g:00024) 

Hanlon, Phil Sonve conjectures and results concerning the homology of nilpotent Lie 
algebras. 92a:17030 

Khakimdzhanov, Yu. B. Sur les variétés d’algebres de Lie. [On varieties of Lie algebras] 

92b:17025 

Schwarzbach, Yvette (with Magri, Franco) Poisson-Nijenhuis structures. (French 
summary) 92b:17026 

Landi, Giovanni (with Marmo, G.) Lie algebra extensions and gauge theories. 92g:17027 

Lian, Bong H. (with Zuckerman, Gregg J.) New selection rules and physical states in 2D 
gravity. Conformal gauge. 92f:17022 

Magri, Franco see K Schwarzbach, Yvette, 92b:17026 

Marmo, G. see Landi, Giovanni, 92g:17027 

O’Halloran, Joyce see Fialowski, Alice, 92b:17024 

Ramabhadran, N. see Devi, Leela, 92g:17026 

Zackerman, Gregg J. see Lian, Bong H., 92f:17022 


Ki 








Items with secondary classifications in 17B55 


De Filippo, Sergio (with Landi, Giovanni; Marmo, G.; Vilasi,G.) An algebraic characteri- 
zation of complete integrability for Hamiltonian systems. 92m:58057 

Dixon, John A. Computing BRST cohomology using spectral sequences. 92¢:81269 

Ellis, Graham J. A nonabelian tensor product of Lie algebras. 92g:18010 

Feigin, B. L. (with Frenkel, Edward V.) Affine Kac-Moody algebras and semi-infinite flag 
manifolds. 92f:17026 

Frenkel, Edward V. see Feigin, B. L., 92f:17026 

Ghoshal, Debashis (with Mukherji, Sudipta) No ghost theorem and cohomology theorem 
for strings in arbitrary static backgrounds. 92e:81271 

Jantzen, Jens Carsten First cohomology groups for classical Lie algebras. 92e:17024 

Khakimdzhanov, Yu. B. Characteristically nilpotent Lie algebras. (Russian) 92a:17016 

Kumar, Shrawan Bernstein-Gel’fand-Gel’fand resolution for arbitrary Kac-Moody algebras. 
92e:17035 

Landi, Giovanni see De Filippo, Sergio; et al., 92m:58057 

Lecomte, Pierre B. A. (with Roger, Claude) Erratum: “Lie bialgebra modules and coho- 
mology” [C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), no. 6, 405-410; MR 91c:17013}. 
(French) 92e:17028 

Marmo, G. see De Filippo, Sergio; et al., 92m:58057 

Moody, Robert V. (with Patera, J.) Discrete and continuous graded contractions of 
representations of Lie algebras. 92¢:17043 

Mukherji, Sudipta see Ghoshal, Debashis, 92e:81271 

Nelson, Philip Equivariant structure in string theory. 92g:81153 

Nuss, Philippe L’homologie cyclique des algébres enveloppantes des algébres de Lie de 
dimension trois. (English summary) [The cyclic homology of the enveloping algebras of 
three-dimensional Lie algebras] 92i:19004 

Ovsienko, O. D. Deformation of Poisson structures and contact Lie (super) algebras of 
String theories. (Russian) 92i:17031 

Patera, J. see Moody, Robert V., 92e:17043 

Roger, Claude see Lecomte, Pierre B. A., 92e:17028 

Vilasi, G. see De Filippo, Sergio; et al., 92m:58057 


17B56 Cohomology of Lie algebras 


Benamor, Hédi (with Pinczon, Georges) Extensions of representations of Lie superalgebras. 


92c:17028 

Brodzki, Jacek Lie cochains on an algebra. 92e:17026 

Farnsteiner, Rolf Extension functors of modular Lie algebras. 92b:17027 

— Cohomology groups of reduced enveloping algebras. 92¢:17029 

Feldvoss, Jorg On the cohomology of restricted Lie algebras. 92k:17034 

Forger, Michael (with Kellendonk, Johannes) Classical BRST cohomology and invariant 
functions on constraint manifolds. I. 92k:17035 

Ginzburg, Viktor L. (with Weinstein, Alan) Lie-Poisson structure on some Poisson Lie 
groups. 92h:17022 


NONASSOCIATIVE RINGS AND ALGEBRAS 1992 304 


Gurevich, D. I. Equation de Yang-Baxter et quantification des cocycles. (English summary) 
[The Yang-Baxter equation and quantization of cocycles] 92g:17028 

Huebschmann, Johannes Poisson cohomology and quantization. 92e:17027 

Kellendonk, Johannes see Forger, Michael, 92k:17035 

K Sch bach, Yvette Grand crochet, crochets de Schouten et cohomologies 
d’algébres de Lie. (English summary) [The big bracket, Schouten brackets and Lie algebra 
cohomologies] 92b:17028 

Lecomte, Pierre B. A. (with Roger, Claude) Erratum: “Lie bialgebra modules and coho- 
mology” [C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), no. 6, 405-410; MR 91c:17013). 
(French) 92e:17028 

Lian, Bong H. (with Zuckerman, Gregg J.) BRST cohomology and highest weight vectors. I. 
92i:17026 

Ovsienko, V. Yu. (with Turbiner, A. V.) Plongements d’une algébre de Lie dans son 
algébre enveloppante. (English summary) [Embeddings of a Lie algebra into its universal 
enveloping algebra] 92m:17035 

Pinczon, Georges see Benamor, Hédi, 92c:17028 

Qiu, Sen The second restricted cohomology of Witt algebras. (Chinese. English summary) 
92b:17029 

Roger, Claude see Lecomte, Pierre B. A., 92e:17028 

Su, Yu Cai 2-cocycles on SI,,(A, 7). (Chinese. English summary) 92c:17030 

Tolpygo, A. K. Cohomology of infinite-dimensional Borel algebras. (Russian. Ukrainian 
summary) 92b:17030 

Turbiner, A. V. see Ovsienko, V. Yu., 92m:17035 

Weinstein, Alan see Ginzburg, Viktor L., 92h:17022 

Zuckerman, Gregg J. see Lian, Bong H., 92i:17026 


Items with secondary classifications in 17B56 


Barou, Genevieve (with Malliavin-Brameret, Marie-Paule) Cohomologie locale et coho- 
mologie d’algébres de Lie. [Local cohomology and Lie algebra cohomology] 92a:17018 

Bartik, Vojtéch (with Vanzura, Jiti) Losik cohomology of the Lie algebra of infinitesimal 
automorphisms of a G-structure. II. 92d:58225 

De Filippo, Sergio (with Landi, Giovanni; Marmo, G.; Vilasi, G.) An algebraic characteri- 
zation of complete integrability for Hamiltonian systems. 92m:58057 

Dixon, John A. BRS cohomology of the chiral superfield. 92j:81324 

— Calculation of BRS cohomology with spectral sequences. 92m:81285 

Farnsteiner, Rolf (with Strade, Helmut) Shapiro’s lemma and its consequences in the 
cohomology theory of modular Lie algebras. 92d:17018 

Feigin, B. L. (with Frenkel, Edward V.) Bosonic ghost system and the Virasoro algebra. 
92¢:81055 

— (with Frenkel, Edward V.) Semi-infinite Weil complex and the Virasoro algebra. 
92h:17028 

Feldvoss, Jorg (with Strade, Helmut) Restricted Lie algebras with bounded cohomology 
and related classes of algebras. 92m:17033 

Fialowski, Alice (with O’Halloran, Joyce) A comparison of deformations and orbit closure. 
92b:17024 

Figueroa-O’Farrill, José M. (with Kimura, Takashi) Geometric BRST quantization. I. 
Prequantization. 92h:58077 

Fisch, Jean M. L. (with Henneaux, Marc) Homological perturbation theory and the 
algebraic structure of the antifield-antibracket formalism for gauge theories. 92i:81333 

Frenkel, Edward V. see Feigin, B. L., 92c:81055 and 92h:17028 

Fujikawa, Kazuo (with Suzuki, Hiroshi) Topological conformal algebra and BRST algebra 
in noncritical string theories. 92j:81242 

Giler, S. see Kunz, Jutta; et al., 92j:81331 

Henneaux, Marc see Fisch, Jean M. L., 92i:81333 

Hosono, Shinobu (with Tsuchiya, Akihiro) Lie algebra cohomology and N = 2 SCFT based 
on the GKO construction. 92i:17042 

Kimura, Takashi see Figueroa-O’Farrill, José M., 92h:58077 

Kosiniski, P. see Kunz, Jutta; et al., 92j:81331 

Kumar, Shrawan Bernstein-Gel’fand-Gel'fand resolution for arbitrary Kac-Moody algebras. 
92e:17035 

Kunz, Jutta (with Maslanka, P.; Giler, S.; Kosinski, P.) Quantum BRST cohomology. 
92j:81331 

Kuznetsov, M.I. On Lie algebras of contact type. 92a:17026 

Landi, Giovanni see De Filippo, Sergio; et al., 92m:58057 

Lian, Bong H. (with Zuckerman, Gregg J.) 2D gravity with c = 1 matter. 92i:81296 

Malliavin-Brameret, Marie-Paule see Barou, Genevieve, 92a:17018 

Marcinek, Wladyslaw Generalized Lie-Cartan pairs. 92g:58006 

Marmo, G. see De Filippo, Sergio; et al., 92m:58057 

Maslanka, P. see Kunz, Jutta; et al., 92j:81331 

Morimoto, Tohru Generalized Spencer cohomology groups and quasi-regular bases. 
92¢:58154 

O’Halloran, Joyce see Fialowski, Alice, 92b:17024 

Plante, J. F. Elementary zeros of Lie algebras of vector fields. 92e:57041 

Radul, A. O. Lie algebras of differential operators, their central extensions and W-algebras. 
(Russian) 92k:17039 

Strade, Helmut see Farnsteiner, Rolf, 92d:17018 and Feldvoss, Jorg, 92m:17033 

Suzuki, Hiroshi see Fujikawa, Kazuo, 92j:81242 

Tsuchiya, Akihiro see Hosono, Shinobu, 92i:17042 

Vaniura, Jiti see Bartik, Vojtéch, 92d:58225 

Vilasi, G. see De Filippo, Sergio; et al., 92m:58057 

Zuckerman, Gregg J. see Lian, Bong H., 92i:81296 





17B60 Lie rings associated with other structures (associative, 
Jordan, etc.) [see also 15A30, 16W10, 17C 40, 17C50] 


Chanyshev, A. D. Regular words and the sandwich-algebra theorem. (Russian) 92¢:17031 

Chupina, E.1. Lattice definability of a semisimple finite-dimensional binary-Lie algebra 
over an algebraically closed field of characteristic 0. (Russian) 92c:17032 

Eggert, Anselm Uber Liesche Semialgebren. [On Lie semi-algebras] 92i:17027 

Nichols, Warren D. The structure of the dual Lie coalgebra of the Witt algebra. 92d:17021 





305 1992 


Slin’‘ko, A.M. Compact Lie rings. 92m:17036 


Zolotykh, A. A. Trace identities of matrix superalgebras with involution. (Russian) 
92a:17031 


Items with secondary classifications in 17B60 


Allison, B. N. Isotropic simple Lie algebras of type Dy. 92b:17009 

Bolsinov, A. V. Compatible Poisson brackets on Lie algebras and the completeness of 
families of functions in involution. (Russian) 92i:17028 

Brown, Robert Bruce (with Hopkins, Nora C.) Noncommutative matrix Jordan algebras. 
92k:17002 

Chanyshev, A. D. Local finite-dimensionality of algebraic Lie algebras. (Russian) 
92g:17004 

Duchamp, Gérard Orthogonal projection onto the free Lie algebra. 92e:17003 

Hopkins, Nora C. see Brown, Robert Bruce, 92k:17002 

Kazama, Yoichi Novel topological conformal algebras. 92m:81086 

Khukhro, E.1I. Lie rings and groups that admit an almost regular automorphism of prime 
order. (Russian) 92d:20041 

— Groups and Lie rings admitting almost regular automorphisms of prime order. 92a:20030 

Marmazeev, V.I. Metrizable naturally reductive spaces with regular multiplication. 
(Russian) 92f:53056 

Misso, Paola On Lie properties of a ring. (Italian summary) 92¢:16017 

Sharma, Rajendra Kumar (with Srivastava, J. B.) On solvable Lie ideals of a ring. 
92:16042 

Srivastava, J. B. see Sharma, Rajendra Kumar, 92f:16042 

Wall, G. E. Dependence of Lie relators for Burnside varieties. 92b:20043 


17B65 _Infinite-dimensional Lie algebras [see also 22E65] 


Atkin, C. J. (with Grabowski, Janusz) Homomorphisms of the Lie algebras associated with 
a symplectic manifold. 92h:17023 

Bolsinov, A. V. Compatible Poisson brackets on Lie algebras and the completeness of 
families of functions in involution. (Russian) 92i:17028 

Dolan, L. (with Goddard, Peter; Montague, Paul Stewart) Conformal field theory of twisted 
vertex operators. 92a:17032 

Fairlie, D. B. see Zachos, Cosmas K., (92i:81012) 

Feigin, B. L. (with Frenkel, Edward V.) Quantization of the Drinfel’d-Sokolov reduction. 
92g:17029 

Fletcher, Paul The Moyal bracket. 92k:17036 

Fradkin, E.S. (with Linetskii, V. Ya.) A new class of infinite-dimensional Lie algebras: 
an analytical continuation of the arbitrary finite-dimensional semisimple Lie algebra. 
92b:17031 

Franchetta, Anna Hyperbolic graphs and their roots. (Italian. English summary) 92m:17037 

Frenkel, Edward V. see Feigin, B. L., 92g:17029 

Frenkel, Igor B. (with Lepowsky, James; Meurman, Arne) Introduction from the book 
Vertex operator algebras and the Monster (pp. xv-1, Academic Press, Boston, MA, 1988; 
MR 90h:17026]. (Russian) 

Goddard, Peter see Dolan, L.; et al., 92a:17032 

Grabowski, Janusz see Atkin, C. J., 92h:17023 

Ginaydin, Murat (with Hyun, Seungjoon) Ternary algebraic construction of extended 
superconformal algebras. 92f:17023 

Hoppe, Jens Infinite-dimensional algebras and (2 + 1)-dimensional field theory—yet 
another view of gl(oo): some new algebras. 92a:17033 

Huang, Yi Zhi Geometric interpretation of vertex operator algebras. 92k:17037 

Hyun, Seungjoon see Giinaydin, Murat, 92f:17023 

Kac, Victor G. * Infinite-dimensional Lie algebras. 92k:17038 

Kausch, H. G. (with Watts, G. M.T.) A study of W-algebras using Jacobi identities. 
92d:17022 

Khakimdzhanov, Yu. B. Derivations of some infinite-dimensional topologically nilpotent Lie 
algebras. (Russian) 92b:17032 

ten Kroode, Fons (with van de Leur, Johan) Representations of the infinite matrix algebra. 
92b:17033 

Lepowsky, James see Frenkel, Igor B.; et al. 

van de Leur, Johan see ten Kroode, Fons, 92b:17033 

Li, Wang Lai Two remarks on infinite-dimensional Lie algebras. (Chinese. English 
summary) 92¢:17033 

Linetskii, V. Ya. see Fradkin, E. S., 92b:17031 

Meurman, Arne see Frenkel, Igor B.; et al. 

Michaelis, Walter On the dual Lie coalgebra of the Witt algebra. (see 92f:81008) 

Montague, Paul Stewart see Dolan, L.; et al., 92a:17032 

Olive, David I. Introduction to conformal invariance and infinite-dimensional algebras. (see 
92b:81009) 

Ovsienko, O. D. (with Ovsienko, V. Yu.) Lie derivatives of order n on the line. Tensor 
meaning of the Gel'fand-Dikii bracket. 92e:17029 

Ovsienko, V. Yu. see Ovsienko, O. D., 92e:17029 

Palev, Tchavdar D. Highest weight representations of the Lie algebra gl... in a Gel/fand- 
Zetlin basis. 92i:17029 

— Highest weight representations of the Lie algebra a(oo). (Russian) 92c:17034 

Radul, A. O. Lie algebras of differential operators, their central extensions and W-algebras. 
(Russian) 92k:17039 

— Nontrivial central extensions of Lie algebras of differential operators in two and higher 
dimensions. 92f:17024 

Savel’ev, M. V. (with Vershik, A. M.) A new class of infinite-dimensional Lie algebras 
(continuum Lie algebras) and associated nonlinear systems. 92h:17024 

Schlichenmaier, Martin Central extensions and semi-infinite wedge representations of 
Krichever-Novikov algebras for more than two points. 92¢:17035 

Tsukada, Haruo Vertex operator superalgebras. 92b:17034 

Vershik, A. M. see Savel’ev, M. V., 92h:17024 

Watts, G. M.T. see Kausch, H. G., 92d:17022 

Zachos, Cosmas K. (with Fairlie, D. B.) New infinite-dimensional algebras, sine brackets, 
and SU(0o). (see 92i:81012) 


17B Lie algebras 


17B65 


Items with secondary classifications in 17B65 

Adams, Malcolm R. (with Harnad, J.; Hurtubise, Jacques) Integrable Hamiltonian systems 
on rational coadjoint orbits of loop algebras. 92d:58072 

Antoniou, Ioannis E. (with Misra, Baidyanath) Characterization of semidirect sum Lie 
algebras. 92b:17053 

Bakas, Ioannis (with Kiritsis, Elias B.) Grassmannian coset models and unitary representa- 
tions of W,,. 92b:81164 

— Self-duality, integrable systems, W-algebras and all that. 92k:58097 

— (with Depireux, Didier A.) A fractional KdV hierarchy. 92k:58098a 

— (with Depireux, Didier A.) Errata: “A fractional KdV hierarchy”. 92k:58098b 

Balog, J. (with Fehér, L. Gy.; O’Raifeartaigh, Lochlainn; Forgacs, P.; Wipf, Andreas) Toda 
theory and ¥ -algebra from a gauged WZNW point of view. 92b:58084 

— (with Fehér, L. Gy.; Forgacs, P.; O’Raifeartaigh, Lochlainn; Wipf, Andreas) Kac-Moody 
realization of W -algebras. 92d:81044 

Bauer, Michel (with Di Francesco, Ph.; Itzykson, Claude; Zuber, J.-B.) Singular vectors of 
the Virasoro algebra. 92k:17047 

Bergshoeff, E. A. (with de Wit, B.; Vasil’ev, M. A.) The structure of the super-W,,.(A) 
algebra. 92k:81051 

— (with Vasil’ev, M. A.; de Wit, B.) The super-W,..(A) algebra. 92b:81054 

— Nonlinear super-W algebras at fixed central charge. 92k:81052 

Bhaskara, K.H. (with Rama, K.) Quadratic Poisson structures. 92h:58061 

Chen, Deng Yuan (with Zhu, Guo Cheng; Li, Yi Shen) The symmetries of a matrix 
evolution equation of KdV type and its Lie algebra. (Chinese. English summary) 
92e:58194 

Das, Ashok (with Huang, Wen-Jui; Panda, Sudhakar) The Hamiltonian structures of the 
KP hierarchy. 92m:58055 

Das, Sumit R. (with Dhar, Avinash; Mandal, Gautam; Wadia, Spenta R.) Bosonization of 
nonrelativistic fermions and W-infinity algebra. 92j:81267 

Depireux, Didier A. see Bakas, Ioannis, 92k:58098a and 92k:58098b 

Dhar, Avinash see Das, Sumit R.; et al., 92j:81267 

Di Francesco, Ph. see Bauer, Michel; et al., 92k:17047 

(Doebner, H.-D.) see Infinite-dimensional Lie algebras and quantum field theory, 92b:81004 

Dowker, J.S. (with Wei, Mo Zheng) Area-preserving diffeomorphisms and the stability of 
the atmosphere. 92b:58031 

— Central extensions of sphere groups. 92j:22034 

— see also Wolski, A., 92h:58015 

Dufour, Jean-Paul Hyperbolic actions of R’ on Poisson manifolds. 92c:58029 

Evans, Jonathan (with Hollowood, Tim) Supersymmetric Toda field theories. 92h:81150 

Fairlie, D. B. see Gelfand, I. M., 92d:17015 

Fateev, V. A. (with Luk’yanov, S. L.) Poisson-Lie groups and classical W-algebras. 
92i:81126 

Fehér, L. Gy. see Balog, J.; et al., 92b:58084 and 92d:81044 

Feingold, Alex J. (with Frenkel, Igor B.; Ries, John F. X.) * Spinor construction of vertex 
operator algebras, triality, and Et. 92k:17041 

Figueroa-O’Farrill, José M. (with Ramos, Eduardo) W-superalgebras from supersymmetric 
Lax operators. 92e:58091 

— (with Ramos, Eduardo) Classical N = 2 W-superalgebras and supersymmetric Gel’fand- 
Dickey brackets. 92m:17009 

Floreanini, Roberto (with Percacci, Roberto; Sezgin, Ergin) Infinite-dimensional algebras in 
Chern-Simons quantum mechanics. 92e:81105 

— (with Percacci, Roberto; Sezgin, Ergin) Quantum mechanics on the circle and Wj... 
92i:81096 

Forgics, P. see Balog, J.; et al., 92b:58084 and 92d:81044 

Fradkin, E.S. (with Linetskii, V. Ya.) Infinite-parametric extension of the conformal 
algebra in D > 2 space-time dimensions. 92a:81054 

— (with Linetskii, V. Ya.) Supersymmetric version of the 3D Virasoro-like algebra and 
supersymmetrization of SU(co). 92a:81055 

Frenkel, Igor B. see Feingold, Alex J.; et al., 92k:17041 

Furuta, Hidekazu Lie algebras in which every soluble subalgebra is either abelian or almost- 
abelian. 92f:17003 

Gelfand, I. M. (with Fairlie, D. B.) The algebra of Weyl symmetrised polynomials and its 
quantum extension. 92d:17015 

Guil Guerrero, F. (with Manas, M.) Loop algebras and the Krichever-Novikov equation. 
92b:58092 

Harnad, J. (with Hurtubise, Jacques) Generalized tops and moment maps to loop algebras. 
92m:58060 

— see also Adams, Malcolm R.; et al., 924:58072 

(Hennig, Jérg D.) see Infinite-dimensional Lie algebras and quantum field theory, 92b:81004 

Hollowood, Tim see Evans, Jonathan, 92h:81150 

Hornfeck, K. On the central charge for the W algebras. 92a:81057 

Huang, Wen-Jui see Das, Ashok; et al., 92m:58055 

Hurtubise, Jacques see Adams, Malcolm R.; et al., 92d:58072 and Harnad, J., 92m:58060 

Itzykson, Claude see Bauer, Michel; et al., 92k:17047 

Jorgensen, Palle E.T. Representations of symplectic vector spaces obtained as unitary 
dilations. 92m:17019 

(Kass, Steven N.) see Infinite-dimensional Lie algebras and their applications, 92b:17001 

Kausch, H. G. Extended conformal algebras generated by a multiplet of primary fields. 
92¢:81169 

Kirillov, A. A. La géométrie des moments pour les groupes de difféomorphismes. [The 
geometry of moments for groups of diffeomorphisms] 92f:22032 

Kiritsis, Elias B. see Bakas, Ioannis, 92b:81164 

Konshtein, S. E. (with Vasil/ev, M. A.) Extended higher-spin superalgebras and their 
massless representations. 92a:17045 

Kubo, Fujio Infinite-dimensional Lie algebras with null Jacobson radical. 92i:17007 

Leslie, Joshua A. Some integrable subalgebras of the Lie algebras of infinite-dimensional Lie 
groups. 92k:22034 

Li, YiShen see Chen, Deng Yuan; et al., 92¢:58194 

Linetskii, V. Ya. see Fradkin, E. S., 92a:81054 and 92a:€1055 

Luk’yanov, S. L. see Fateev, V. A., 92i:81126 





17B65 


Maiias, M. see Guil Guerrero, F., 92b:58092 

Mandal, Gautam see Das, Sumit R.; et al., 92j:81267 

Michaelis, Walter An example of a nonzero Lie coalgebra M for which Loc(M) = 0. 
92a:16046 

Mickelsson, Jouko (with Rajeev, S.G.) Deformation of current algebras in 3 + 1 dimen- 
sions. 92¢:22042 

Misra, Baidyanath see Antoniou, Ioannis E., 92b:17053 

Miwa, Tetsuji Infinite-dimensional Lie algebras as hidden symmetries of soliton equations. 
(see 92£:58090) 

Morozov, A. Yu. On the concept of universal W,, algebra. 92g:81070 

Neretin, Yu. A. Infinite-dimensional groups, their mantles, trains, and representations. 
92h:22038 

Odake, Satoru (with Sano, Takashi) W,... and super-W,, algebras with SU(N) symmetry. 
92¢:81067 

Olive, David I. Introduction to conformal field theory and infinite-dimensional algebras. 
(see 92m:81004) 

O’Raifeartaigh, Lochlainn see Balog, J.; et al., 92b:58084 and 924:81044 

Ovsienko, V. Yu. Contact analogues of the Virasoro algebra. (Russian) 92g:17038 

(Palev, Tchavdar D.) see Infinite-dimensional Lie algebras and quantum field theory, 
92b:81004 

Panda, Sudhakar see Das, Ashok; et al., 92m:58055 

Percacci, Roberto see Floreanini, Roberto; et al., 92e:81105 and 92i:81096 

Pope, Christopher (with Shen, Xiang; Romans, L. J.) W,, and the Racah-Wigner algebra. 
92¢:81057 


— (with Romans, L. J.; Shen, Xiang) Conditions for anomaly-free W and super-W algebras. 


92a:81059 

Punithavathi, P. see Tamizhmani, K. M., 92b:58209 

Rajeev, S.G. see Mickelsson, Jouko, 92c:22042 

Rama, K. see Bhaskara, K. H., 92h:58061 

Ramos, Eduardo see Figueroa-O’Farrill, José M., 92e:58091 and 92m:17009 

Rieffel, Marc A. Lie group convolution algebras as deformation quantizations of linear 
Poisson structures. 92b:58076 

Ries, John F. X. see Feingold, Alex J.; et al., 92k:17041 

Romans, L. J. Realisations of classical and quantum W; symmetry. 92e:81068 

— see also Pope, Christopher; et al., 92a:81059 and 92c:81057 

Roy Chowdhury, A. see Sen, Shibani, 92i:58083 

Samoilenko, Yu. S. * Spectral theory of families of selfadjoint operators. 92j:47038 

Sano, Takashi see Odake, Satoru, 92e:81067 

Schellekens, A. N. (with Yankielowicz, Shimon) Extended algebras, modular invariants 
and fixed points [MR 91g:81149]. (see 92m:81271) 

Schilling, Randolph James A loop algebra decomposition for Korteweg-de Vries equations. 
92e:58101 

Sen, Shibani (with Roy Chowdhury, A.) On the invariance properties and conservation 
laws for Landau-Lifshitz equation in three dimensions with Tijon-Wright [Tjon-Wright] 
ansatz. 92i:58083 

Sezgin, Ergin see Floreanini, Roberto; et al., 92e:81105 and 92i:81096 

Shen, Xiang see Pope, Christopher; et al., 92a:81059 and 92c:81057 

Takebe, Takashi Representation theoretical meaning of the initial value problem for the 
Toda lattice hierarchy. I. 92d:58089 

Tamizhmani, K.M. (with Punithavathi, P.) Addendum to: “The infinite-dimensional 
Lie algebraic structure and the symmetry reduction of a nonlinear higher-dimensional 
equation” [J. Phys. Soc. Japan 59 (1990), no. 3, 843-847; MR 91e:58160]. 92b:58209 

(Tisjachnij, E. V.) see Samoilenko, Yu. S., 92j:47038 

Todorov, Ivan T. On the classification of unitary lowest weight representations of conformal 
current algebras. 92b:17054 

Tolpygo, A. K. Cohomology of infinite-dimensional Borel algebras. (Russian. Ukrainian 
summary) 92b:17030 

Turaev, V.G. Algebras of loops on surfaces, algebras of knots, and quantization. (see 
92i:57011) 

Vasil’ev, M. A. Higher spin algebras and quantization on the sphere and hyperboloid. 
92a:81210 

— see also Konshtein, S. E., 92a:17045; Bergshoeff, E. A.; et al., 92b:81054 and 92k:81051 

Wadia, Spenta R. see Das, Sumit R.; et al., 92j:81267 

Watts, G.M.T. WB, symmetry, Hamiltonian reduction and B(0,n) Toda theory. 
92i:81103 

Wei, Mo Zheng see Dowker, J. S., 92b:58031 

Wipf, Andreas see Balog, J.; et al., 92b:58084 and 924:81044 

de Wit, B. see Bergshoeff, E. A.; et al., 92b:81054 and 92k:81051 

Wolski, A. (with Dowker, J.S.) Area-preserving diffeomorphisms of Riemann surfaces. 
92h:58015 

Wa, Yong Shi! see Yu, Feng, 92h:58097 

Yankielowicz, Shimon see Schellekens, A. N., (92m:81271) 

You, Yuching DKP and MDKP hierarchy of soliton equations. 92i:58085 

Yu, Feng (with Wu, Yong Shi') Hamiltonian structure, (anti-)selfadjoint flows in the KP 
hierarchy and the W,,. and W,, algebras. 92h:58097 

Zeitlin, V. Yu. Algebraization of 2-D ideal fluid hydrodynamical systems and their finite- 
mode approximations. (see 92:76003) 

Zhu, Guo Cheng see Chen, Deng Yuan; et al., 92e:58194 

Zuber, J.-B. see Bauer, Michel; et al., 92k:17047 


Items listed otherwise than by author 

Infinite-dimensional Lie algebras and quantum field theory * Infinite-dimensional Lie 
algebras and quantum field theory. 92b:81004 

Infinite-dimensional Lie algebras and their applications * Infinite-dimensional Lie algebras 
and their applications. 92b:17001 

Montreal, PQ * Infinite-dimensional Lie algebras and their applications. 92b:17001 

School: 
Infinite-dimensional Lie Algebras and Quantum Field Theory * Infinite-dimensional Lie 

algebras and quantum field theory. 92b:81004 
Varna * Infinite-dimensional Lie algebras and quantum field theory. 92b:81004 


NONASSOCIATIVE RINGS AND ALGEBRAS 


Workshop: 
Infinite-dimensional Lie Algebras and their Applications * Infinite-dimensional Lie 
algebras and their applications. 92b:17001 


17B66 Lie algebras of vector fields and related algebras 


Bremner, Murray R. Structure of the Lie algebra of polynomial vector fields on the Riemann 
sphere with three punctures. 92i:17030 

Dowker, J.S. see Wolski, A., 92b:17036 

Figueirido, Francisco (with Ramos, Eduardo) Fock space representations of the algebra of 
diffeomorphisms of the n-torus. 92b:17035 

Gonzalez-Lépez, Artemio (with Kamran, Niky; Olver, Peter J.) Lie algebras of vector fields 
in the real plane. 92m:17038 

Guo, Han Ying see Wang, Shi Kun; et al., 92d:17024 

van den Hijligenberg, N. W. (with Post, Gerhard) Defining relations for Lie algebras of 
vector fields. 92h:17025 

Hitchin, Nigel J. Vector fields on the circle. 92¢:17030 

Kamran, Niky see Gonzdlez-Lépez, Artemio; et al., 92m:17038 

K Schwarzbach, Yvette Champs affines de multivecteurs sur les groupes de Lie. 
(English summary) [Affine multivector fields on Lie groups] 92d:17023 

Olver, Peter J. see Gonzalez-Lépez, Artemio; et al., 92m:17038 

Onishchik, A. L. Lie superalgebras of vector fields. 92g:17030 

Ovsienko, O. D. Deformation of Poisson structures and contact Lie (super) algebras of 
string theories. (Russian) 92i:17031 

Post, Gerhard see van den Hijligenberg, N. W., 92h:17025 

Ramos, Eduardo see Figueirido, Francisco, 92b:17035 

Rubenthaler, Hubert Une dualité de type Howe en dimension infinie. (English summary) 
[An infinite-dimensional Howe-type duality] 92m:17039 

Shen, Jian Min see Wang, Shi Kun; et al., 92d:17024 

Wang, Shi Kun (with Shen, Jian Min; Guo, Han Ying) The algebra of meromorphic vector 
fields with multiple poles on a Riemann surface and its realization by meromorphic /- 
differentials. I. (Chinese. English summary) 92d:17024 

Wolski, A. (with Dowker, J.S.) Area-preserving diffeomorphisms of the tetrahedron. 
92b:17036 





Items with secondary classifications in 17B66 

Agrachév, A. A. see Gamkrelidze, R. V.; et al., 92b:58056 

Atkin, C. J. (with Grabowski, Janusz) Homomorphisms of the Lie algebras associated with 
a symplectic manifold. 92h:17023 

Bakas, Ioannis Orbits of Diff S' in the space of quadratic differentials. 92f:17033 

Devchand, Ch. (with Savel’ev, M. V.) Comultiplication for quantum deformations of the 
centreless Virasoro algebra in the continuum formulation. 92¢:17014 

Gamkrelidze, R. V. (with Agrachév, A. A.; Vakhrameev, S. A.) Ordinary differential 
equations on vector bundles, and chronological calculus. (Russian) 92b:58056 

Gelfand, S. I. (with Manin, Yu. I.) Homological algebra. (Russian) 92a:18003b 

Grabowski, Janusz see Atkin, C. J., 92h:17023 

Guo, Han Ying see Wang, Shi Kun; et al., 92i:17038 

Harnad, J. Hamiltonian group actions on super loop spaces. 92k:22036 

Isaev, A. P. (with Popowicz, Z.) q-deformations of conformal algebra and its central 
extension. 92m:17043 

Kubarski, Jan Lie algebroid of a principal fibre bundle. 92h:58206 

Kupershmidt, Boris A. Nonnegativity of mass and entropy in continuous dynamics. 
92£:58059 

Manin, Yu. I. see Gel'fand, S. I., 92a:18003b 

Popowicz, Z. see Isaev, A. P., 92m:17043 

Pressley, Andrew N. (with Segal, Graeme B.) *& Ipynnpi netenb. (Russian) [Loop groups] 
92a:22024 

(Radul, A.O.) see Pressley, Andrew N., 92a:22024 

Savel'ev, M. V. see Devchand, Ch., 92e:17014 

Schaller, Peter Constant approximation of Lie algebras. 92e:17044 

Segal, Graeme B. see Pressley, Andrew N., 92a:22024 

Shen, Jian Min see Wang, Shi Kun; et al., 92i:17038 

Vakhrameev, S. A. see Gamkrelidze, R. V.; et al., 92b:58056 

Wang, Shi Kun (with Shen, Jian Min; Guo, Han Ying) The algebras of meromorphic vector 
fields and their realization on the spaces of meromorphic A-differentials on Riemann 
surfaces. II. (Chinese. English summary) 92i:17038 

(Wilson, George) see Pressley, Andrew N., 92a:22024 

(Zelevinskii, A. V.) see Pressley, Andrew N., 92a:22024 


17B67 Kac-Moody algebras (structure and representation theory) 


Arcuri, Regina C. Conformal and critical embeddings, infinite magic square, and a new 
Clifford product. 92k:17040 

Aulakh, Charanjit S. (with Mahapatra, Swapna) Even integer lattices from simply laced 
GKO cosets. 92h:17026 

Bauer, Michel (with Itzykson, Claude) Affine characters and modular transformations. 
92£:17025 

— (with Itzykson, Claude) Commutant of modular transformations for affine characters. 
(see 92m:81271) 

Bern, Zvi (with Dunbar, David C.) Nondiagonal modular invariants and extensions of Kac- 
Moody algebras. 92a:17034 

Borcherds, Richard E. Central extensions of generalized Kac-Moody algebras. 92g:17031 

Bose, Samir Kumar (with Bruce, S. A.) Algebras for the two-sphere and the three-sphere 
groups of compact simple Lie groups. 92b:17037 

Bruce, S. A. see Bose, Samir Kumar, 92b:17037 

Capps, Richard H. Representations of affine Kac-Moody algebras and the affine scalar 
product. 92a:17035 

Casian, Luis G. Kazhdan-Lusztig multiplicity formulas for Kac-Moody algebras. (French 
summary) 92b:17038 





307 1992 


Chari, Vyjayanthi (with Pressley, Andrew N.) An application of Lie superalgebras to affine 
Lie algebras. 92c:17036 

Cornwell, J. F. see Tsohantjis, I., 92c:17040 

Day, Lawrence H. Generating functions for affine Lie algebras. 92g:17032 

Dillon, Meighan I. Geometry and affine Lie algebras. 92b:17039 

Dobrev, V. K. Extended Weyl group for Kac-Moody algebras. 92j:17020 

— (with Sezgin, Ergin) A remarkable representation of the SO(3, 2) Kac-Moody algebra. 
92j:17021 

Dong, C. Y. (with Lepowsky, James) A Jacobi identity for relative vertex operators and the 
equivalence of Z-algebras and parafermion algebras. 92i:17032 

Dunbar, David C. see Bern, Zvi, 92a:17034 

Feigin, B. L. (with Frenkel, Edward V.) Representations of affine Kac-Moody algebras and 
bosonization. 92d:17025 

— (with Frenkel, Edward V.) Affine Kac-Moody algebras and semi-infinite flag manifolds. 
92:17026 

— (with Frenkel, Edward V.) Duality in W-algebras. 92i:17033 

Feingold, Alex J. (with Frenkel, Igor B.; Ries, John F. X.) * Spinor construction of vertex 
operator algebras, triality, and Ef). 92k:17041 

Frenkel, Edward V. see Feigin, B. L., 92d:17025; 92£:17026 and 92i:17033 

Frenkel, Igor B. see Feingold, Alex J.; et al., 92k:17041 

Futornyi, V.M. Parabolic partitions of root systems and corresponding representations of 
the affine Lie algebras. (Russian summary) 92a:17036 

Peter The vertex operator construction for non-simply laced Kac-Moody algebras. 

II. 92h:17027 

Gorman, N. (with McGlinn, W.; O’Raifeartaigh, Lochlainn; Williams, D.) On the Galilean 
structure of the Weyl group for affine Kac-Moody algebras. 92f:17027 

— (with McGlinn, W.; O’Raifeartaigh, Lochlainn) On the importance of the Weyl group for 
Kac-Moody and string algebras. 92g:17033 

Gould, M. D. (with Jarvis, P.D.) Characteristic identities for Kac-Moody algebras. 
92k:17042 

Griess, Robert L., Jr. A structure constant problem of Goddard and Olive. 92f:17028 

Halpern, M. B. (with Obers, N. A.) Graph theory, SO(n) current algebra and the Virasoro 
master equation. 92e:17031 

Huang, Chao Shang (with Zhang, De Hai) Ward identities and characters of Kac-Moody 
algebras. 92j:17022 

Hughes, J. W. B. Principal three-dimensional subalgebras of Kac-Moody algebras. 
92¢:17037 

Ito, Katsushi (with Komata, Shiro) Feigin-Fuchs representations of arbitrary affine Lie 
algebras. 92f:17029 

Itzykson, Claude see Bauer, Michel, 92f:17025 and (92m:81271) 

Jarvis, P. D. see Gould, M. D., 92k:17042 

Jing, Nai Huan On a trace of qg-analog vertex operators. 92e:17032 

— Vertex operators, symmetric functions, and the spin group T’,. 92e:17033 

Kac, Victor G. (with Wakimoto, M.) Branching functions for winding subalgebras and 
tensor products. 92a:17037 

Kang, Seok-Jin Toward hyperbolic Kac-Moody Lie algebras. 92a:17038 

Kass, Steven N. (with Patera, J.) Dimensions, indices and congruence classes of representa- 
tions of affine Kac-Moody algebras (with examples for affine Eg). (see 92b:81011) 

— Some explicit calculations in the Kac-Moody algebra A‘"). 92c:17038 

— (with Moody, Robert V.; Patera, J.; Slansky, R.) * Affine Lie algebras, weight multiplici- 
ties, and branching rules. Vols. 1, 2. 92i:17034 

Komata, Shiro see Ito, Katsushi, 92f:17029 

ten Kroode, A. P. E. The homogeneous realization of L(A) over A”) and the Toda lattice. 
92¢:17034 

ten Kroode, Fons (with van de Leur, Johan) Bosonic and fermionic realizations of the affine 
algebra gl,. 92f:17030 

Kumar, Shrawan Bernstein-Gel’fand-Gel’fand resolution for arbitrary Kac-Moody algebras. 
92e:17035 

Kuroki, Gen Fock space representations of affine Lie algebras and integral representations in 
the Wess-Zumino-Witten models. 92k:17043 

Lepowsky, James see Dong, C. Y., 92i:17032 

Leslie, Joshua A. A path functor for Kac-Moody Lie algebras. 92g:17034 

van de Leur, Johan see ten Kroode, Fons, 92f:17030 

Mahapatra, Swapna see Aulakh, Charanjit S., 92h:17026 

Malikov, F.G. The structure of some Verma modules over affine Lie algebras. (Russian) 
92i:17035 

McGlinn, W. see Gorman, N.; et al., 92f:17027 and 92g:17033 

Mikhalév, V.G. A generalization of the Kac-Moody algebras with a parameter on an 
algebraic curve and perturbations of solitons. 92a:17039 

Misra, Kailash C. Level two standard A,-modules. 92a:17040 

— (with Putcha, Mohan S.) Projections in Kac-Moody Lie algebras. 92m:17040 

Moody, Robert V. see Kass, Steven N.; et al., 92i:17034 

Morita, Jun Coverings, Schur multipliers and K2 of Kac-Moody groups. 92m:17041 

Naito, Satoshi On regular subalgebras of a symmetrizable Kac-Moody algebra. 92k:17044 

Neher, Erhard (with Nguyen, D.) Finite gradings of Kac-Moody algebras. 92g:17035 

Nguyen, D. see Neher, Erhard, 92g:17035 

Obers, N. A. see Halpern, M. B., 92e:17031 

Olive, David I. The vertex operator construction for non-simply laced Kac-Moody algebras. 
I. 92g:17036 

Ooguri, Hirosi (with Petersen, Jens Lyng; Taormina, Anne) Modular invariant partition 
functions for the doubly extended N = 4 superconformal algebras. 92k:17045 

O’Raifeartaigh, Lochlainn see Gorman, N.; et al., 92f:17027 and 92g:17033 

Osipov, E. P. The central extensions of Kac-Moody-Mal'cev algebras. 92b:17040 

Patera, J. see Kass, Steven N.; et al., 92i:17034 and (92b:81011) 

Petersen, Jens Lyng see Ooguri, Hirosi; et al., 92k:17045 

Pressley, Andrew N. see Chari, Vyjayanthi, 92c:17036 

Prevost, Shari A. Vertex algebras and integral bases for the enveloping algebras of affine Lie 
algebras. 92f:17031 

Putcha, Mohan S. see Misra, Kailash C., 92m:17040 

Ries, John F. X. see Feingold, Alex J.; et al., 92k:17041 


17B Lie algebras 


17B67 


Ruelle, Ph. (with Thiran, E.; Weyers, J.) Modular invariants for affine SU(3) theories at 
prime heights. 92b:17041 

Sakamoto, Makoto (with Tabuse, M.) Vertex operator representations of su(2) ;, Kac- 
Moody algebra. 92i:17036 

Sanami, Manabu On nonholonomic modules over the loop algebra. 92b:17042 

Sezgin, Ergin see Dobrev, V. K., 92j:17021 

Shu, Bin Sets of weights and g(A) modules. (Chinese. English summary) 92f:17032 

Singer, Phyllis Local nilpotence and a characterization of finite-dimensional Kac-Moody 
algebras. 92c:17039 

— Results on subspace products in Kac-Moody algebras. 92j:17023 

Slansky, R. see Kass, Steven N.; et al., 92i:17034 

Su, Yu Cai Some string functions of level | for cy. (Chinese) 92a:17041 

Tabuse, M. see Sakamoto, Makoto, 92i:17036 

Taormina, Anne see Ooguri, Hirosi; et al., 92k:17045 

Thiran, E. see Ruelle, Ph.; et al., 92b:17041 

Tsohantjis, I. (with Cornwell, J. F.) The complete root systems of the affine Kac-Moody 
superalgebras. 92c:17040 

Ustimenko, V. A. On embedding of some geometries and flag systems in Lie algebras and 
superalgebras. (Russian summary) 92b:17043 

Wakimoto, M. see Kac, Victor G., 92a:17037 

Weyers, J. see Ruelle, Ph.; et al., 92b:17041 

Williams, D. see Gorman, N.; et al., 92f:17027 

Zhang, De Hai see Huang, Chao Shang, 92j:17022 

Zhang, He Chun Universal integrable representations for Kac-Moody algebras. 92k:17046 

Zou, Yi-Ming A note on some structure theorems of modules in category @. 92d:17026 


Items with secondary classifications in 17B67 


Affleck, Ian Kac-Moody algebras and quantum spin chains. (see 92f:81008) 

Aldaya, Victor (with Klauder, John R.; Navarro-Salas, José) Group quantization of the 
affine field model for gravity and nonstandard representations of the SU(1, 1)-Kac-Moody 
group. 92¢:83025 

Aratyn, H. (with Nissimov, E.; Pacheva, S.) The hidden Kac-Moody symmetry of the 
geometric actions. 92a:81050 

Ardalan, F. (with Arfaei, H.) Toroidal compactification, modular invariants, and orbifolds. 
92h:81142 

Arfaei, H. see Ardalan, F., 92h:81142 

Argyres, Philip C. (with LeClair, André; Tye, S.-H. Henry) On the possibility of fractional 
superstrings. 92j:81228 

Aulakh, Charanjit S. Curiouser and curiouser at integer central charge. 92a:17047 

Baaquie, Belal E. Kac-Moody algebra: realization, cohomology and applications. (see 
92h:81009) 

— Functional-differential realization of the Kac-Moody algebra and group cohomology. 
92g:22042 

Bagger, Jonathan (with Nemeschansky, Dennis) Coset construction of chiral algebras. 
92i:81263 

Bais, F. Alexander (with Tjin, T.; van Driel, Peter) Covariantly coupled chiral algebras. 
92m:81082 

Bakas, Ioannis Self-duality, integrable systems, W-algebras and all that. 92k:58097 

Balog, J. (with Fehér, L. Gy.; Forgacs, P.; O’Raifeartaigh, Lochlainn; Wipf, Andreas) Kac- 
Moody realization of W -algebras. 92d:81044 

Bauerle, G.G. A. (with de Kerf, E. A.) * Lie algebras. Part 1. 92c:17005 

Behera, N. see Malik, R. P.; et al., 92f:81178 

Blasi, Alberto (with Collina, R.) Chern-Simons model in the Landau gauge and its 
connection to the Kac-Moody algebra. 92i:81180 

Bonora, Loriano (with Martellini, Maurizio; Zhang, Yao Zhong) Affine CS theories, affine 
WZNW models and integrable models. 924:81116 

Bougourzi, A. Hamid (with Ho-Kim, Q.; Kikuchi, Yukio; Lam, C. S.) Uniqueness of 
generalized parafermions. 92g:81161 

Bouwknegt, Peter (with McCarthy, J. G.; Pilch, Krzysztof) On the free field resolutions for 
coset conformal field theories. 92k:81053 

— (with McCarthy, J. G.; Nemeschansky, Dennis; Pilch, Krzysztof) Vertex operators and 
fusion rules in the free field realizations of WZNW models. 92h:81061 

Bowcock, Peter Quasiprimary fields and associativity of chiral algebras. 92g:81067 

Buturovi¢é, Edin Chiral generations, Poincaré polynomials and coset models with N = 2 
supersymmetry. 92i:81226 

Castellani, Leonardo On the existence of realistic type II superstring models. 92j:81236 

Charpentier, Eric (with Gawedzki, Krzysztof) Wess-Zumino-Witten conformal field theory 
for simply laced groups at level one. 92m:81233 

Chau, Ling-Lie Geometrical integrability and equation of motion in physics: a unifying 
view. 92b:58085 

Collina, R. see Blasi, Alberto, 92i:81180 

Cornwell, J. F. see Tsohantijis, 1., 92e:17039 

Crescimanno, M. Geometry and duality of a nonabelian coset model. 92m:81234 

Cummins, C. J. su(n) and sp(2”) WZW fusion rules. 92g:81165 

Das, Ashok (with Roy, Shibaji) Covariant Lax operators and Kac-Moody algebras. 
92e:58088 

Deckmyn, Alex (with Troost, Walter) Affine Lie superalgebras and conformal stress tensors. 
92m:81085 

Delius, Gustav W. The N = 2 super-Kac-Moody algebra and the WZW-model in (2, 0) 
superspace. 92a:81202 

Dobrev, V. K. (with Ganchev, A. Ch.) On the classification of modular invariants for the 
N =2 twisted superconformal algebra. 92f:17037 

Dodd, R. K. Classification of integrable equations. 92f:58079 

Dolan, L. The compactified Neveu-Schwarz model: a new affine construction. 92c:81132 

Dorfmeister, Josef (with Neher, Erhard; Szmigielski, J.) Banach manifolds and their 
automorphisms associated with groups of type C,. and D... 92e:58014 

Dotsenko, VI. S. Solving the SU(2) conformal field theory using the Wakimoto free field 
representation. 92h:81149 

van Driel, Peter see Bais, F. Alexander; et al., 92m:81082 

Ellinas, Demosthenes Studies in Lie and quantum algebras. 92a:81073 





17B67 


Fehér, L. Gy. see Balog, J.; et al., 92d:81044 

Feigin, B. L. (with Schechtman, V. V.; Varchenko, A. N.) On algebraic equations satisfied 
by correlators in Wess-Zumino-Witten models. 924:81121 

Font, Anamaria (with Ibaiez, Luis E.; Quevedo, Fernando) Higher-level Kac-Moody string 
models and their phenomenological implications. 92f:81138 

Forgics, P. see Balog, J.; et al., 92d:81044 

Frappat, L. (with Sorba, P.; Sciarrino, A.) Vertex operators for twisted affine algebras and 
superalgebras. (see 92£:81008) 

Freidel, L. (with Maillet, Jean-Michel) On classical and quantum integrable field theories 
associated to Kac-Moody current algebras. 92£:81166 

Ganchev, A. Ch. see Dobrev, V. K., 92f:17037 

Gawedzki, Krzysztof see Charpentier, Eric, 92m:81233 

Giveon, Amit (with Halpern, M. B.; Kiritsis, Elias B.; Obers, N. A.) The superconformal 
master equation. 92i:81097 

Goddard, Peter Representations of Kac-Moody and Virasoro algebras. (see 92b:81011) 

— Extended conformal algebras. 92a:17048 

Griffin, Paul A. (with Hernandez, Oscar F.) Feigin-Fuchs derivation of SU(1, 1) 
parafermion characters. 92m:81247 

Grosse, H. (with Langmann, E.) On current superalgebras and super-Schwinger terms. 
92b:81056 

Gustafson, Robert A. The Macdonald identities for affine root systems of classical type and 
hypergeometric series very-well-poised on semisimple Lie algebras. 92k:33015 

Halpern, M. B. (with Obers, N. A.) Unitary irrational central charge on compact g. I. 
(simply-laced g,)$27. 92g:17037 

— (with Obers, N. A.) Generalized graphs and unitary irrational central charge in the 
superconformal master equation. 92k:17048 

— see also Giveon, Amit; et al., 92i:81097 

Hamada, Ken-Ji Generalized Coulomb-gas representations of AW models on the torus. 
92m:82040 

Harnad, J. Moment map embeddings of isospectral Hamiltonian flows into loop algebras. 
92c:58047 

— (with Kupershmidt, Boris A.) Super loop groups, Hamiltonian actions and super Virasoro 
algebras. 92e:58092 

Hayashi, Masahito Determination of fusion rule for E7-type conformal field theory. 
92j:81276 

— Determination of fusion rule for Eg-type conformal field theory. 92j:81277 

Henningson, Mans (with Hwang, Stephen) The unitarity of SU(1, 1) fermionic strings. 
92k:81145 

Hernandez, Oscar F. see Griffin, Paul A., 92m:81247 

van den Hijligenberg, N. W. see Roelofs, G. H. M., 92e:58195 

Ho-Kim, Q. see Bougourzi, A. Hamid; et al., 92g:81161 

Hou, Bo Yu (with Hou, Bo Yuan; Ma, Zhong Qi; Yin, Yu Dong) Solutions of Yang-Baxter 
equation in the vertex model and the face model for octet representation. 92j:82019 

— (with Yue, Rui Hong) Modular invariance and the Feigin-Fuch{s] representation of 
characters for SU;,(2) WZW and minimal models. 92a:81178 

Hou, Bo Yuan see Hou, Bo Yu; et al., 92j:82019 

Huang, Yi Zhi Geometric interpretation of vertex operator algebras. 92k:17037 

Hull, Christopher M. (with Spence, B.) N = 2 current algebra and coset models. 92a:81058 

Husain, Vigar Kac-Moody algebras from general covariance. 92j:81078 

Hwang, Stephen see Henningson, Mans, 92k:81145 

Tbaiiez, Luis E. see Font, Anamaria; et al., 92f:81138 

Inami, Takeo (with Kanno, Hiroaki) N = 2 super KdV and super sine-Gordon equations 
based on Lie super algebra A(1, 1)"!). 92m:58062 

Ito, Katsushi Feigin-Fuchs representation of generalized parafermions. 92b:81057 

Jimbo, Michio Solvable lattice models and their local state probabilities. (see 92:81008) 

Jing, Nai Huan Twisted vertex representations of quantum affine algebras. 92a:17019 

Kac, Victor G. * Infinite-dimensional Lie algebras. 92k:17038 

Kanno, Hiroaki see Inami, Takeo, 92m:58062 

Kashiwara, Masaki Crystalizing the g-analogue of universal enveloping algebras. 92b:17018 

Kass, Steven N. A recursive formula for characters of simple Lie algebras. 92c:17012 

— see also Infinite-dimensional Lie algebras and their applications, 92b:17001 

Kaul, Romesh K. see Malik, R. P.; et al., 92f:81178 

Kazhdan, David (with Lusztig, George) Affine Lie algebras and quantum groups. 92g:17015 

de Kerf, E. A. see Bauerle, G. G. A., 92c:17005 

Kikuchi, Yukio see Bougourzi, A. Hamid; et al., 92g:81161 

Kiritsis, Elias B. see Giveon, Amit; et al., 92i:81097 

Klauder, John R. see Aldaya, Victor; et al., 92e:83025 

Kostant, Bertram (with Kumar, Shrawan) T-equivariant K-theory of generalized flag 
varieties. 92c:19006 

Kumar, Shrawan see Kostant, Bertram, 92c:19006 

Kuniba, Atsuo Exact solution of solid-on-solid models for twisted affine Lie algebras Ag) 
and AS) _,. 92b:82047 

Kupershmidt, Boris A. see Harnad, J., 92e:58092 a 

Lakshmibai, Venkatramani Standard monomial theory for SL,. 92f:14052 

Lam, C.S. see Bougourzi, A. Hamid; et al., 92g:81161 

Langmann, E. see Grosse, H., 92b:81056 

LeClair, André see Argyres, Philip C.; et al., 92j:81228 

Lemire, F. W. Pointed torsion free Lie modules. 924:17005 

Levi, D. (with Winternitz, Pavel) Continuous symmetries of discrete equations. 92f:58084 

Li, Miao Duality and modular invariance in rational conformal field theories. 92d:81125 

Lusztig, George see Kazhdan, David, 92g:17015 

Ma, Zhong Qi see Hou, Bo Yu; et al., 92j:82019 

Maillet, Jean-Michel see Freidel, L., 92f:81166 

Malik, R. P. (with Behera, N.; Kaul, Romesh K.) Level-one and -two SU(2) Wess-Zumino 
model on higher-genus Riemann surfaces. 92f:81178 

Martellini, Maurizio see Bonora, Loriano; et al., 92d:81116 

Matsuo, Atsushi An application of Aomoto-Gel/fand hypergeometric functions to the SU() 
Knizhnik-Zamolodchikov equation. 92g:33026 

McCarthy, J.G. see Bouwknegt, Peter; et al., 92h:81061 and 92k:81053 


NONASSOCIATIVE RINGS AND ALGEBRAS 


1992 308 


Momma, George Unitary coset conformal field theories based on noncompact groups. 
92j:81290 

Morita, Jun Kac-Moody groups over fields with trivial K2. 92k:19002 

Navarro-Salas, José see Aldaya, Victor; et al., 92e:83025 

Neher, Erhard see Dorfmeister, Josef; et al., 92e:58014 

Nemeschansky, Dennis Feigin-Fuchs representation of string functions. 92j:81294 

— see also Bouwknegt, Peter; et al., 92h:81061 and Bagger, Jonathan, 92i:81263 

Nicolai, H. A hyperbolic Kac-Moody algebra from supergravity. 92k:83131 

Nissimov, E. see Aratyn, H.; et al., 92a:81050 

Nutku, Y. (with Szmigielski, J.) Kac-Moody algebras and Hamiltonian operators. 
92i:58080 

Obers, N. A. see Halpern, M. B., 92g:17037; Giveon, Amit; et al., 92i:81097 and Halpern, M. 
B., 92k:17048 

O’Raifeartaigh, Lochlainn see Balog, J.; et al., 92d:81044 

Pacheva, S. see Aratyn, H.; et al., 92a:81050 

Paquin, Gérald Les symétries de Kac-Moody-Virasoro d’une équation d’ondes longues 
dispersives en 2 + 1 dimensions. [The Kac-Moody-Virasoro symmetries of a dispersive 
long wave equation in 2 + 1 dimensions] 92e:58186 

Pearce, Paul A. Temperley-Lieb operators and critical A-D-E models. 92b:82049 

de la Peiia, José A. The Weyl group of a wild graph. 92m:16020 

Perret, Robert E. Path integral derivation of characters for Kac-Moody groups. 92g:22043 

Pilch, Krzysztof see Bouwknegt, Peter; et al., 92h:81061 and 92k:81053 

Popov, A. D. Hyperbolic strings and Kac-Moody algebras. (Russian) 92b:81152 

Quevedo, Fernando see Font, Anamaria; et al., 92f:81138 

Roelofs, G. H. M. (with van den Hijligenberg, N. W.) Prolongation structures for 
supersymmetric equations. 92e:58195 

Romans, L. J. Quasi-superconformal algebras in two dimensions and Hamiltonian 
reduction. 92d:81051 

Roy, Shibaji see Das, Ashok, 92e:58088 

Rubin, Jacques (with Winternitz, Pavel) Point symmetries of conditionally integrable 
nonlinear evolution equations. 92b:58107 

Rihl, W. SL(N) Kac-Moody algebras and Wess-Zumino-Witten models. 92¢:81190 

Schechtman, V. V. (with Varchenko, A. N.) Hypergeometric solutions of Knizhnik- 
Zamolodchikov equations. 92g:33027 

— see also Feigin, B. L.; et al., 92d:81121 

Schellekens, A. N. Classification of ten-dimensional heterotic strings. 92m:81220 

Sciarrino, A. see Frappat, L.; et al., (92f:81008) 

Shin, H. J. Primary operators of coset conformal field theories. 92m:81266 

Shukuzawa, Osamu see Yokota, Ichiro, 92m:17020 

Song, Xing Chang Nonlinear realization of hidden symmetry U(1) and the Kac-Moody 
algebra of chiral field in curved space. 92e:81170 

Sorba, P. see Frappat, L.; et al., (92f:81008) 

Spence, B. see Hull, Christopher M., 92a:81058 

Spiegelglas, Mordechai Periodicity in G;, and fusion rules. 92j:81305 

Sterling, Ivan Soliton geometry, Kac-Moody algebras and the Yang-Baxter equations. 
92m:53104 

Szmigielski, J. see Dorfmeister, Josef; et al., 92e:58014 and Nutku, Y., 92i:58080 

Takebe, Takashi Representation theoretical meaning of the initial value problem for the 
Toda lattice hierarchy. II. 92h:58093 

Tanisaki, Toshiyuki Harish-Chandra isomorphisms for quantum algebras. 92e:17022 

Tjin, T. see Bais, F. Alexander; et al., 92m:81082 

Troost, Walter see Deckmyn, Alex, 92m:81085 

Tsohantjis, I. (with Cornwell, J. F.) Sugawara-type constructions of the Virasoro algebra 
based on the twisted affine Kac-Moody superalgebras. 92e:17039 

Tsuchiya, Akihiro (with Yamada, Yasuhiko) Conformal field theory on moduli family of 
stable curves with gauge symmetries. 92a:81192 

— (with Ueno, Kenji; Yamada, Yasuhiko) Conformal field theory on universal family of 
stable curves with gauge symmetries. 92a:81191 

Tsukada, Haruo Vertex operator superalgebras. 92b:17034 

Tye, S.-H. Henry see Argyres, Philip C.; et al., 92j:81228 

Tze, Chia Hsiung New phases of D > 2 current and diffeomorphism algebras in particle 
physics. 92m:81089 

Ueno, Kenji see Tsuchiya, Akihiro; et al., 92a:81191 

Vandoren, S. Unitary representations of twisted N = 4 superconformal algebras. 92d:81052 

Varchenko, A. N. see Feigin, B. L.; et al., 92d:81121 and Schechtman, V. V., 92g:33027 

Vershik, A.M. Metagonal groups of finite and infinite dimension. 92¢:22044 

Verstegen, D. New exceptional modular invariant partition functions for simple Kac-Moody 
algebras. 92a:81193 

Winternitz, Pavel Kac-Moody-Virasoro symmetries of integrable nonlinear partial 
differential equations. 92c:58055 

— Kac-Moody-Virasoro symmetries of integrable nonlinear evolution equations. 924:58091 

— see also Rubin, Jacques, 92b:58107 and Levi, D., 92f:58084 

Wipf, Andreas see Balog, J.; et al., 92d:81044 

Yamada, Yasuhiko see Tsuchiya, Akihiro; et al., 92a:81191 and 92a:81192 

Yin, Yu Dong see Hou, Bo Yu; et al., 92j:82019 

Yokota, Ichiro (with Shukuzawa, Osamu) Automorphisms of order 4 of the simply 
connected compact Lie group Es. 92m:17020 

You, Yuching DKP and MDKP hierarchy of soliton equations. 92i:58085 

Yue, Rui Hong see Hou, Bo Yu, 92a:81178 

Yur'ev, D. V. Classification of vertex operators in two-dimensional sl(2, C)-invariant 
quantum field theory. (Russian. English summary) 92i:81104 

Zhang, Yao Zhong see Bonora, Loriano; et al., 92d:81116 

i probl and double Kac-Moody 

algebraic structures for two-dimensional reduced gravity. 92e:58197 

Zaber, J.-B. Classification of modular invariants made of characters of the Virasoro or Kac- 
Moody algebras. 92e:81072 





Items listed otherwise than by author 


Infinite-dimensional Lie algebras and their applications * Infinite-dimensional Lie algebras 
and their applications. 92b:17001 





309 1992 


Montreal, PQ * Infinite-dimensional Lie algebras and their applications. 92b:17001 
Workshop: 
Infinite-dimensiona! Lie Algebras and their Applications * Infinite-dimensional Lie 
algebras and their applications. 92b:17001 


17B68 Virasoro and related algebras 


Bakas, Ioannis Orbits of Diff S' in the space of quadratic differentials. 92f:17033 

Bauer, Michel (with Di Francesco, Ph.; Itzykson, Claude; Zuber, J.-B.) Singular vectors of 
the Virasoro algebra. 92k:17047 

Benoit, Louis (with Saint-Aubin, Yvan) A proof of the explicit formula for certain singular 
vectors of the Virasoro algebra. 92i:17037 

Bogolyubov, N. N. (with Mikityuk, I. V.; Prikarpat-skii, A. K.) Verma modules over the 
quantum Lie algebra of currents on the circle. (Russian) 92a:17042 

Cornwell, J. F. see Tsohantjis, I., 92e:17039 

Deck, Thomas Deformations from Virasoro to Krichever-Novikov algebras. 92d:17027 

Di Francesco, Ph. see Bauer, Michel; et al., 92k:17047 

Feigin, B. L. (with Fuks, D. B.) Representations of the Virasoro algebra. 92f:17034 

— (with Frenkel, Edward V.) Semi-infinite Weil complex and the Virasoro algebra. 
92h:17028 

Figueroa-O’Farrill, José M. (with Ramos, Eduardo) Existence and uniqueness of the 
universal W algebra. 92m:17042 

Frappat, L. (with Ragoucy, E.; Thuillier, F.) General construction of the Virasoro algebra 
from superalgebras. 92¢:17036 

Frenkel, Edward V. see Feigin, B. L., 92h:17028 

Fuks, D. B. see Feigin, B. L., 92f:17034 

Guo, Han Ying see Wang, Shi Kun; et al., 92i:17038 

Halpern, M. B. (with Obers, N. A.) Unitary irrational central charge on compact g. I. 
(simply-laced g,)$2”. 92g:17037 

— (with Obers, N. A.) Generalized graphs and unitary irrational central charge in the 
superconformal master equation. 92k:17048 

Isaev, A. P. (with Popowicz, Z.) q-deformations of conformal algebra and its central 
extension. 92m:17043 

Itzykson, Claude see Bauer, Michel; et al., 92k:17047 

Kent, Adrian Singular vectors of the Virasoro algebra. 92m:17044 

Langlands, Robert P. On unitary representations of the Virasoro algebra. 92c:17041 

Martin, Christiane (with Piard, Alain) On a class of representations of the Virasoro algebra 
and a conjecture of Kac. 92e:17037 

— (with Piard, Alain) Indecomposable modules over the Virasoro Lie algebra and a 
conjecture of V. Kac. 92b:17044 

— (with Piard, Alain) Nonbounded indecomposable admissible modules over the Virasoro 
algebra. 92m:17045 

Mikityuk, I. V. see Bogolyubov, N. N.; et al., 92a:17042 

Nepomechie, Rafael I. Conformal algebra on the torus and its supersymmetric generaliza- 
tions. 92d:17028 

Niemi, Antti J. (with Semenoff, Gordon W.) Inequivalent representations of the Virasoro 
algebra. 92c:17042 

Obers, N. A. see Halpern, M. B., 92g:17037 and 92k:17048 

Ovsienko, V. Yu. Contact analogues of the Virasoro algebra. (Russian) 92g:17038 

Patera, J. (with Zassenhaus, Hans) The higher rank Virasoro algebras. 92e:17038 

Piard, Alain see Martin, Christiane, 92b:17044; 92e:17037 and 92m:17045 

Polychronakos, Alexios P. Aspects of g-Virasoro algebra. 92g:17039 

Popowicz, Z. see Isaev, A. P., 92m:17043 

Prikarpat-skii, A. K. see Bogolyubov, N. N.; et al., 92a:17042 

Radul, A.O. Superstring Schwartz [Schwarz] derivative and the Bott cocycle. 92f:17035 

Ragoucy, E. see Frappat, L.; et al., 92e:17036 

Ramos, Eduardo see Figueroa-O’Farrill, José M., 92m:17042 

Rocha-Caridi, A. Multiplicity formulas for the discrete series representations of the 
Virasoro algebra. (see 92:81008) 

Saint-Aubin, Yvan see Benoit, Louis, 92i:17037 

Semenoff, Gordon W. see Niemi, Antti J., 92c:17042 

Shen, Jian Min see Wang, Shi Kun; et al., 92i:17038 

Thuillier, F. see Frappat, L.; et al., 92e:17036 

Tsohantjis, I. (with Cornwell, J. F.) Sugawara-type constructions of the Virasoro algebra 
based on the twisted affine Kac-Moody superalgebras. 92e:17039 

Varnhagen, R. Characters and representations of new fermionic W-algebras. 92m:17046 

Wang, Shi Kun (with Shen, Jian Min; Guo, Han Ying) The algebras of meromorphic vector 
fields and their realization on the spaces of meromorphic -differentials on Riemann 
surfaces. II. (Chinese. English summary) 92i:17038 

Watts, G. M. T. Erratum: “Determinant formulae for extended algebras in two-dimensional 
conformal field theory” [Nuclear Phys. B 326 (1989), no. 3, 648-672; MR 91d:17038}. 
92e:17040 

Yur'ev, D. V. Radius of univalence of a regular function. (Russian) 92j:17024 

— On the structure of L-algebra L(Cvir). 92i:17039 

Zachos, Cosmas K. A presentation for Virasoro algebras. 92g:17040 

— Fermionic center in the superconformal algebra on the supertorus. 92e:17041 

Zassenhaus, Hans see Patera, J., 92e:17038 

Zaber, J.-B. see Bauer, Michel; et al., 92k:17047 


Items with secondary classifications in 17B68 

Ahn, Changrim (with Schoutens, Kareljan; Sevrin, A.) The full structure of the super W; 
algebra. 92j:81075 

Aizawa, N. (with Sato, Harutada) g-deformation of the Virasoro algebra with central 
extension. 92b:17016 


Arakelyan, T. A. (with Savvidi,G. K.) A linear extension of the Virasoro algebra. (Russian) 
924:81043 


— (with Savvidi, G. K.) Hamiltonian structure of a linearly extended Virasoro algebra. 
(Russian) 92k:58096 

Baulieu, Laurent (with Bellon, M. P.; Grimm, Richard) Some remarks on the gauging of the 
Virasoro and wW);.. algebras. 92i:81095 


17B Lie algebras 


17B68 


Bellon, M. P. see Baulieu, Laurent; et al., 92i1:81095 

Benoit, Louis (with Saint-Aubin, Yvan) Singular vectors of the Neveu-Schwarz algebra. 
92k:81050 

Bergshoeff, E. A. (with Vasil’ev, M. A.; de Wit, B.) The super-W,,.(A) algebra. 92b:81054 

Bilal, Adel W-algebras from Chern-Simons theory. 92g:81066 

Bonora, Loriano (with Xiong, Chuan Sheng) Covariant sl, decomposition of the sl, 
Drinfel’d-Sokolov equations and the W,, algebras. 92m:81083 

Bremner, Murray R. Modular invariant Virasoro modules and elliptic curves. 92a:11065 

Bugrii, A. 1. (with Shadura, V.N.) The partition function of the 2D Ising model with 
magnetic fields on the boundaries and c = 1/2 Virasoro characters. 92a:82019 

Chaichian, Masud (with Popowicz, Z.; Presnajder, P.) qg-Virasoro algebra and its relation to 
the g-deformed KdV system. 92c:17021 

— (with Isaev, A. P.; Lukierski, Jerzy; Popowicz, Z.; Presnajder, P.) qg-deformations of 
Virasoro algebra and conformal dimensions. 92j:81076 

Cheng, Yi Xin A deformation operator of the Virasoro algebraic constraints in matrix 
models. 92h:58080 

Cremmer, Eugene (with Gervais, Jean-Loup) The quantum group structure associated with 
nonlinearly extended Virasoro algebras. 92a:81072 

Davies, Brian (with Pearce, Paul A.) Conformal properties of critical Ising model corner 
transfer matrices. 92c¢:82047 

Deckmyn, Alex (with Schrans, Stany) W3 constructions on affine Lie algebras. 92j:81077 

Dijkgraaf, Robbert (with Verlinde, Herman; Verlinde, Erik) Loop equations and Virasoro 
constraints in nonperturbative two-dimensional quantum gravity. 92a:81171 

Dobrev, V. K. (with Ganchev, A. Ch.) On the classification of modular invariants for the 
N = 2 twisted superconformal algebra. 92f:17037 

Feigin, B. L. (with Frenkel, Edward V.) Bosonic ghost system and the Virasoro algebra. 
92¢:81055 

Figueroa-O’Farrill, José M. (with Schrans, Stany) Extended superconformal algebras. 
92e:81064 

Fradkin, E.S. (with Linetskii, V. Ya.) A new class of infinite-dimensional Lie algebras: 
an analytical continuation of the arbitrary finite-dimensional semisimple Lie algebra. 
92b:17031 

— (with Linetskii, V. Ya.) Infinite-dimensional generalizations of finite-dimensional 
symmetries. 92¢:81056 

— (with Linetskii, V. Ya.) Supersymmetric Racah basis, family of infinite-dimensional 
superalgebras, SU(oo + 1|oo) and related 2D models. 92a:81053 

— (with Linetskii, V. Ya.) Nonsplittable extensions of the Virasoro and superconformal 
algebras via pseudodifferential operators. 92f:81047 

Frenkel, Edward V. see Feigin, B. L., 92c:81055 

Ganchev, A. Ch. see Dobrev, V. K., 92f:17037 

Gerasimov, A. A. (with Makeenko, Yu.; Marshakov, A. V.; Mironov, A. D.; Morozov, 
A. Yu.; Orlov, A. Yu.) Matrix models as integrable systems: from universality to 
geometrodynamical principle of string theory. 92j:81272 

Gervais, Jean-Loup see Cremmer, Eugene, 92a:81072 

Goddard, Peter Extended conformal algebras. 92a:17048 

Gorskii, A.S. (with Selivanov, K. G.) Integrable theories and nonlinear conformal 
transformations. 92j:58050 

Grimm, Richard see Baulieu, Laurent; et al., 92i:81095 

Grimm, U. (with Rittenberg, Vladimir) Null states of the irreducible representations of the 
Virasoro algebra and hidden symmetries of the finite X X Z Heisenberg chain. A story 
about moving and frozen energy levels. 92i:82034 

Grinevich, P.G. (with Orlov, A. Yu.) Virasoro action on Riemann surfaces, Grassmanni- 
ans, det 9, and Segal-Wilson t-function. 92f:32035 

— (with Orlov, A. Yu.) Higher (nonisospectral) symmetries of the Kadomtsev-Petviashvili 
equations and the Virasoro action on Riemann surfaces. 92b:58090 

Guo, Han Ying see Wang, Shi Kun; et al., 92d:17024 

Halpern, M. B. (with Obers, N. A.) Unitary irrational central charge on compact g: high- 
level analysis and SU(3)§,sic- 9281048 

— (with Obers, N. A.) Graph theory, SO() current algebra and the Virasoro master 
equation. 92e:17031 

— (with Yamron, Jonathan P.) A generic affine-Virasoro action. 92c:81162 

Hitchin, Nigel J. Vector fields on the circle. 92e:17030 

Isaev, A. P. see Chaichian, Masud; et al., 92j:81076 

Itoyama, H. (with Matsuo, Yutaka) Noncritical Virasoro algebra of the d < | matrix model 
and the quantized string field. 92¢:81138 

Kac, Victor G. * Infinite-dimensional Lie algebras. 92k:17038 

(Kass, Steven N.) see Infinite-dimensional Lie algebras and their applications, 92b:17001 

Kent, Adrian (with Watts,G.M.T.) Signature characters for Az and B2. 92j:17005 

Khovanova, T. Lie superalgebra structure on eigenfunctions, and jets of the resolvent’s 
kernel near the diagonal of an nth order ordinary differential operator. 92b:58095 

La, HoSeong (with Nelson, Philip; Schwarz, Albert) Virasoro model space. 92c:22041 

— Geometry of Virasoro constraints in nonperturbative 2-d quantum gravity. 92k:81185 

Levi, D. (with Winternitz, Pavel) Continuous symmetries of discrete equations. 92f:58084 

Lian, Bong H. (with Zuckerman, Gregg J.) 2D gravity with c = | matter. 92i:81296 

Linetskii, V. Ya. see Fradkin, E. S., 92a:81053; 92b:17031; 92c:81056 and 92f:81047 

La, H. (with Pope, Christopher; Romans, L. J.; Shen, Xiang; Wang, X.-J.) Polyakov 
construction of the N = 2 super-W, algebra. 92h:81062 

— (with Pope, Christopher; Shen, Xiang; Wang, X.-J.) The complete structure of Wy from 
W,. atc = —2. 92m:81087 

Lukierski, Jerzy see Chaichian, Masud; et al., 92j:81076 

Makeenko, Yu. see Gerasimov, A. A.; et al., 92j:81272 

Marshakov, A. V. see Gerasimov, A. A.; et al., 92j:81272 

Marshall, Ian A Lie algebraic setting for Miura maps related to an energy dependent linear 
problem. 92e:58097 

Martin, I. (with Restuccia, A.) On the Virasoro algebra on a loop space background. 
(Italian and Russian summaries) 92b:81058 

Mathieu, Pierre Extended Virasoro algebras and the second Hamiltonian structure of scalar 
Lax equations. (see 92f:81008) 

Matsuo, Yutaka see Itoyama, H., 92c:81138 

Mironov, A. D. see Gerasimov, A. A.; et al., 92j:81272 





17B68 


Mizoguchi, S. The structure of representation for the W3) minimal model. 92k:81056 

Mohammedi, Noureddine General super-Virasoro construction on affine ¥. 92i:81100 

Morozov, A. Yu. see Gerasimov, A. A.; et al., 92j:81272 

Nahm, Werner A proof of modular invariance. 92j:81293 

Narganes-Quijano, Francisco J. On the parafermionic Wy algebra. 92k:81057 

Nelson, Philip see La, HoSeong; et al., 92c:22041 

Nishigaki, Shinsuke (with Yoneya, Tamiaki) A nonperturbative theory of randomly 
branching chains. 92f:82024 

Obers, N. A. see Halpern, M. B., 92e:17031 and 92£:81048 

Orlov, A. Yu. see Grinevich, P. G., 92b:58090; 92f:32035 and Gerasimov, A. A.; et al., 
92j:81272 

Osipov, E. P. The central extensions of Kac-Moody-Mal'cev algebras. 92b:17040 

Paquin, Gérald Les symétries de Kac-Moody-Virasoro d’une équation d’ondes longues 
dispersives en 2 + 1 dimensions. [The Kac-Moody-Virasoro symmetries of a dispersive 
long wave equation in 2+ 1 dimensions] 92e:58186 

Pearce, Paul A. Temperley-Lieb operators and critical A-D-E models. 92b:82049 

— (with Seaton, Katherine A.) The off-critical integrable Ashkin-Teller model. 92a:82038 

— see also Davies, Brian, 92c:82047 

Polychronakos, Alexios P. Consistency conditions and representations of a q-deformed 
Virasoro algebra. 92e:17018 

Pope, Christopher see Lu, H.; et al., 92h:81062 and 92m:81087 

Popowicz, Z. see Chaichian, Masud; et al., 92c:17021 and 92j:81076 

PreSnajder, P. see Chaichian, Masud; et al., 92c:17021 and 92j:81076 

Ragoucy, E. (with Sorba, P.) New realizations of the super Virasoro algebra at c = 3. 
92k:81058 

Raiten, Eric J. Perturbative solutions of the Virasoro master equation. 92f:81050 

Restuccia, A. see Martin, I., 92b:81058 

Rittenberg, Viadimir Finite-size scaling and irreducible representations of Virasoro algebras. 
(see 92b:17001) 

— see also Grimm, U., 92i:82034 

Romans, L. J. Quasi-superconformal algebras in two dimensions and Hamiltonian 
reduction. 924:81051 

— The N =2 super-W; algebra. 92m:81088 

— see also Lu, H.; et al., 92h:81062 

Sadov, V. A. Bases on multipunctured Riemann surfaces and interacting strings amplitudes. 
92e:81069 

Saint-Aubin, Yvan see Benoit, Louis, 92k:81050 

Saito, Takesi Schwarzian connections in the Krichever-Novikov algebra. 92g:81071 

Sato, Harutada see Aizawa, N., 92b:17016 

Sawvidi, G. K. see Arakelyan, T. A., 92d:81043 and 92k:58096 

Schlichenmaier, Martin Central extensions and semi-infinite wedge representations of 
Krichever-Novikov algebras for more than two points. 92¢:17035 

Schoutens, Kareljan see Ahn, Changrim; et al., 92j:81075 

Schrans, Stany see Figueroa-O’Farrill, José M., 92e:81064 and Deckmyn, Alex, 92j:81077 

Schwarz, Albert see La, HoSeong; et al., 92c:22041 

Seaton, Katherine A. see Pearce, Paul A., 92a:82038 

Selivanov, K.G. see Gorskii, A. S., 92j:58050 

Sevrin, A. see Ahn, Changrim; et al., 92j:81075 

Sfetsos, Konstadinos Degeneracy of string states in 2D black hole and a new derivation of 
SU(1, 1) parafermion characters. 92h:81168 

Shadura, V.N. see Bugrii, A. I., 92a:82019 

Shen, Jian Min see Wang, Shi Kun; et al., 92d:17024 

Shen, Xiang see Lu, H.; et al., 92h:81062 and 92m:81087 

Sorba, P. see Ragoucy, E., 92k:81058 

Tsukada, Haruo Vertex operator superalgebras. 92b:17034 

Vandoren, S. Unitary representations of twisted N = 4 superconformal algebras. 92d:81052 

Vasil'ev, M. A. see Bergshoeff, E. A.; et al., 92b:81054 

Verlinde, Erik see Dijkgraaf, Robbert; et al., 92a:81171 

Verlinde, Herman see Dijkgraaf, Robbert; et al., 92a:81171 

Vershik, A.M. Metagonal groups of finite and infinite dimension. 92c:22044 

Viswanathan, R. Raju Classical extended conformal symmetries. 92a:17049 

Viadimirskii, V. V. Explicit solutions of constraints in the Virasoro algebra. 92k:81059 

Wang, Shi Kun (with Shen, Jian Min; Guo, Han Ying) The algebra of meromorphic vector 
fields with multiple poles on a Riemann surface and its realization by meromorphic A- 
differentials. I. (Chinese. English summary) 92d:17024 

Wang, X.-J. see Lu, H.; et al., 92h:81062 and 92m:81087 

Wang, Zhong Hua Physics counterpart of quasiconformal transformation, two-dimensional 
quantum gravity and their symmetries. 92e:81250 

Watts, G. M.T. see Kent, Adrian, 92j:17005 

Winternitz, Pavel Kac-Moody-Virasoro symmetries of integrable nonlinear partial 
differential equations. 92c¢:58055 

— Kac-Moody-Virasoro symmetries of integrable nonlinear evolution equations. 92d:58091 

— see also Levi, D., 92£:58084 

de Wit, B. see Bergshoeff, E. A.; et al., 92b:81054 

Xiong, Chuan Sheng see Bonora, Loriano, 92m:81083 

Xu, Kai Wen (with Zhu, Chuan Jie) Symmetry in two-dimensional gravity. 92h:81169 

Yamron, Jonathan P. see Halpern, M. B., 92c:81162 

Yoneya, Tamiaki see Nishigaki, Shinsuke, 92f:82024 

Yur'ev, D. V. Projective reduction in quantum conformal field theory. 92m:81270 

— Quantum conformal field theory as an infinite-dimensional noncommutative geometry. 
(Russian) 92j:81308 

Zhang, You Jin Symmetries and the related Lie algebraic structure of the principal chiral 
field equation. (Chinese summary) 92e:58104 

Zhu, Chuan Jie see Xu, Kai Wen, 92h:81169 

Zuber, J.-B. Classification of modular invariants made of characters of the Virasoro or Kac- 
Moody algebras. 92e:81072 

Zuckerman, Gregg J. see Lian, Bong H., 92i:81296 


Items listed otherwise than by author 
Infinite-dimensional Lie algebras and their applications * Infinite-dimensional Lie algebras 


NONASSOCIATIVE RINGS AND ALGEBRAS 


and their applications. 92b:17001 
Montreal, PQ * Infinite-dimensional Lie algebras and their applications. 92b:17001 
Workshop: 
Infinite-dimensional Lie Algebras and their Applications * Infinite-dimensional Lie 
algebras and their applications. 92b:17001 


17B70 Graded Lie algebras 


Beckers, J. (with Debergh, N.) N = 2-extended supersymmetries and Clifford algebras. 
92b:17045 

Bergyvelt, M. J. Defining equations for supergroup orbits in super Clifford modules. 
92a:17043 

Bracken, A. J. see Gould, M. D.; et al., 92b:17046 

Cortois, J. see Zinoun, A., 92b:17051 

Couture, Michel Josaphat (with Patera, J.; Sharp, R. T.; Winternitz, Pavel) Graded 
contractions of sl(3,C). 92m:17047 

Dai, Gui Sheng The gl(m,) module structure of Agl(m, n). (Chinese) 92d:17029 

Debergh, N. see Beckers, J., 92b:17045 

Defever, F. (with Troost, Walter; Hasiewicz, Zbigniew) Superconformal algebras with 
quadratic nonlinearity. 92k:17049 

Fradkin, E.S. (with Linetskii, V. Ya.) Quantization and cocycles on the supertorus and 
large-N limits for the classical Lie superalgebras. 92c:17043 

Fu, Hong Chen Inhomogeneous differential realization, boson-fermion realization of Lie 
superalgebras and their indecomposable representations. 92h:17029 

Gould, M. D. (with Jarvis, P. D.; Bracken, A. J.) Branching rules for a class of typical and 
atypical representations of gl(m|n). 92b:17046 

— (with Zhang, R. B.) Unitary representations of basic classical Lie superalgebras. 
92e:17042 

Ginaydin, Murat (with Scalise, R. J.) Unitary lowest weight representations of the 
noncompact supergroup OSp(2m*/2n). 92b:17047 

Hasiewicz, Zbigniew see Defever, F.; et al., 92k:17049 

Hughes, J. W. B. see Van der Jeugt, Joris; et al., 92b:17049 and 92g:17043 

Jarvis, P. D. see Gould, M. D.; et al., 92b:17046 

Kantor, I. L. The universal graded Lie algebra. 92j:17025 

King, Ronald Curtis see Van der Jeugt, Joris; et al., 92b:17049 and 92g:17043 

Kochetkov, Yu. Yu. Discrete modules for Lie superalgebras of the series Le. (Russian) 
92a:17044 

Konshtein, S. E. (with Vasil’ev, M. A.) Extended higher-spin superalgebras and their 
massless representations. 92a:17045 

Le Blanc, Richard Highest weight representations for gl(m/n). (see 92£:81008) 

Leites, D. A. (with Minakhin, V. V.) New Lie superalgebras and mechanics—some of the 
unmissed opportunities of the supermanifold theory. 92j:17026 

Linetskii, V. Ya. see Fradkin, E. S., 92¢:17043 

Marcinek, Wiadystaw Generalized Lie algebras and related topics. I, II. 92i:17040 

Mikhalev, A. A. Embedding of Lie superalgebras of countable rank into Lie superalgebras 
with two generators. (Russian) 92b:17048 

Minakhin, V. V. see Leites, D. A., 92j:17026 

Minnaert, Pierre (with Mozrzymas, Marek) On the superalgebras built from SO(3) tensor 
operators. 92j:17027 

Mitra, Bani Erratum: “Finite-dimensional irreducible representations of the SU(3/1) 
superalgebra” [J. Math. Phys. 30 (1989), no. 3, 719-731; MR 90a:17018]. 92a:17046 

Moody, Robert V. (with Patera, J.) Discrete and continuous graded contractions of 
representations of Lie algebras. 92e:17043 

Mozrzymas, Marek see Minnaert, Pierre, 92j:17027 

Neher, Erhard 3-graded Lie algebras. 92f:17036 

Nishiyama, Kyo Decomposing oscillator representations of osp(2n/n;R) by a super dual 
pair osp(2/1;R) x so(m). 92j:17028 

— Characters and super-characters of discrete series representations for orthosymplectic Lie 
superalgebras. 92h:17030 

Oziewicz, Zbigniew Remarks on the differential identities in Schouten-Nijenhuis algebra. 
92i:17041 

Palev, Tchavdar D. (with Stoilova, Nedjalka I.) Finite-dimensional representations of the 
Lie superalgebra gl(2/2) in a gl(2) @ gi(2) basis. II. Nontypical representations. 92c:17044 

Patera, J. see Moody, Robert V., 92e:17043 and Couture, Michel Josaphat; et al., 92m:17047 

Patra, M.K. see Tripathy, K. C., (92f:81008) 

Quesne, C. Vector coherent state theory of the noncompact orthosymplectic superalgebras. 
I. General theory. 92g:17041 

— Vector coherent state theory of the noncompact orthosymplectic superalgebras. II. Some 
selected examples. 92g:17042 

Scalise, R. J. see Giinaydin, Murat, 92b:17047 

Schaller, Peter Constant approximation of Lie algebras. 92e:17044 

Sharp, R.T. see Couture, Michel Josaphat; et al., 92m:17047 

Stoilova, Nedjalka I. see Palev, Tchavdar D., 92c:17044 

Taormina, Anne The N = 2 and N = 4 superconformal algebras and string compactifica- 
tions. 92m:17048 

Thierry-Mieg, J. see Van der Jeugt, Joris; et al., 92b:17049 and 92g:17043 

Tripathy, K.C. (with Patra, M. K.) Contraction of Z2 graded Lie algebras. (see 92f:81008) 

Troost, Walter see Defever, F.; et al., 92k:17049 

Van der Jeugt, Joris Character formulae for irreducible representations of the Lie 
superalgebras sl(m/n). 92g:17044 

— (with Hughes, J. W. B.; King, Ronald Curtis; Thierry-Mieg, J.) Representations of 
sl(m/n) and their characters. 92g:17043 

— (with Hughes, J. W. B.; King, Ronald Curtis; Thierry-Mieg, J.) Character formulas for 
irreducible modules of the Lie superalgebras sl(m/n). 92b:17049 

— Character formulae for the Lie superalgebra C(n). 92b:17050 

Vasil’ev, M. A. see Konshtein, S. E., 92a:17045 

Winternitz, Pavel see Couture, Michel Josaphat; et al., 92m:17047 

Zhang, R. B. see Gould, M. D., 92e:17042 

Zinoun, A. (with Cortois, J.) Pertinent statistics for describing a system of particles. 
92b:17051 





311 1992 


Items with secondary classifications in 17B70 

Avan, Jean Current algebra realization of R-matrices associated to Z-graded Lie algebras. 
92a:58057 

Beckers, J. Superalgébres de Lie, supersymétries et parastatistiques. (English summary) [Lie 
superalgebras, supersymmetries and parastatistics] 92¢:81056 

— (with Gagnon, Langis; Hussin, Véronique; Winternitz, Pavel) Superposition formulas for 
nonlinear superequations. 92e:58193 

— (with Debergh, N.) Parasupersymmetries and Lie superalgebras. (see 92g:81003) 

— (with Debergh, N.) Lie structures in parasupersymmetric quantum mechanics. I. The 
standard supersymmetrization procedure. 92g:81054 

Bell, Allen D. A criterion for primeness of enveloping algebras of Lie superalgebras. 
92b:17014 

Benamor, Hédi (with Pinczon, Georges) Extensions of representations of Lie superalgebras. 
92c:17028 

Bolsinov, A. V. Compatible Poisson brackets on Lie algebras and the completeness of 
families of functions in involution. (Russian) 92i:17028 

Bracken, A. J. see Zhang, R. B.; et al., 92d:81067 and Gould, M. D.; et al., 92h:17014 

Brini, Andrea (with Teolis, Antonio G. B.) Remark on the branching theorem and 
supersymmetric algebras. 92k:17006 

Cao, Yu Fang see Pan, Feng, 92b:81053 

Celeghini, Enrico (with Giachetti, Riccardo; Kulish, P. P.; Sorace, Emanuele; Tarlini, 
Marco) Hopf superalgebra contractions and R-matrix for fermions. 92j:81099 

— (with Palev, Tchavdar D.; Tarlini, Marco) The quantum superalgebra B,(0|1) and q- 
deformed creation and annihilation operators. 92f:17013 

Chaichian, Masud (with Leites, D. A.; Lukierski, Jerzy) A new doubly infinite-dimensional 
superalgebra with central extension. (see 92h:81008) 

Chumakov, S.M. see Semenov, V. V., 92e:81042 

Cianci, Roberto Infinitely generated supermanifolds, super Lie groups and homogeneous 
supermanifolds. 92h:58013 

Cornwell, J. F. see Tsohantjis, I., 92c:17040 

Cortois, J. see Zinoun, A., 92f:81235 

Czyi, Janusz On Lie supergroups and superbundles defined via the Baker-Campbell- 
Hausdorff formula. 92b:17004 

Debergh, N. On the harmonic oscillator and its invariance superalgebras. 92g:81061 

— Parasupercoherent states and color supergroups. 92i:81114 

— see also Beckers, J., 92g:81054 and (92g:81003) 

Defever, F. see Hasiewicz, Zbigniew; et al., 92i:17004 

De Filippo, Sergio (with Landi, Giovanni; Marmo, G.; Vilasi, G.) An algebraic characteri- 
zation of complete integrability for Hamiltonian systems. 92m:58057 

Delius, Gustav W. (with Grisaru, Marcus T.; Penati, S.; Zanon, D.) Exact S-matrix and 
perturbative calculations in affine Toda theories based on Lie superalgebras. 92:81164 

D’Hoker, Eric (with Floreanini, Roberto; Vinet, Luc) g-oscillator realizations of the 
metaplectic representation of quantum osp(3, 2). 92i:17017 

Dé Ngoc Diép Multidimensional quantization. V. The mechanical systems with supersym- 
metry. 92f:58069 

Evans, Jonathan (with Hollowood, Tim) Supersymmetric Toda field theories. 92h:81150 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Engel elements in the 
homotopy Lie algebra. 92m:55014 

— (with Halperin, Stephen; Thomas, Jean-Claude) Lie algebras of polynomial growth. 
92i:57034 

Figueroa-O’Farrill, José M. (with Ramos, Eduardo) W-superalgebras from supersymmetric 
Lax operators. 92¢:58091 

Floreanini, Roberto (with Spiridonov, V. P.; Vinet, Luc) q-oscillator realizations of the 
quantum superalgebras sl,(m,) and osp,(m, 2m). 92a:81075 

— see also D’Hoker, Eric; et al., 92i:17017 

Fradkin, E.S. (with Linetskii, V. Ya.) Supersymmetric Racah basis, family of infinite- 
dimensional superalgebras, SU(0co + 1|oo) and related 2D models. 92a:81053 

Frappat, L. (with Ragoucy, E.; Thuillier, F.) General construction of the Virasoro algebra 
from superalgebras. 92e:17036 

Furutsu, Hirotoshi (with Nishiyama, Kyo) Classification of irreducible super-unitary 
representations of su(p,q/n). 92i:17003 

Gagnon, Langis see Beckers, J.; et al., 92e:58193 

Giachetti, Riccardo see Celeghini, Enrico; et al., 92j:81099 

Gould, M. D. (with Zhang, R. B.; Bracken, A. J.) Lie bi-superalgebras and the graded 
classical Yang-Baxter equation. 92h:17014 

— see also Zhang, R. B.; et al., 92d:81067 

Grisaru, Marcus T. see Delius, Gustav W.; et al., 92f:81164 

Gimaydin, Murat On a one-parameter family of exotic superspaces in two dimensions. 
92m:17011 

Halperin, Stephen see Félix, Yves; et al., 92i:57034 and 92m:55014 

Hannabuss, Keith C. (with Weiss, Winfried R. E.) The structure and representations of a 
C*-algebra associated to the super-Poincaré group. 92a:46063 

Hasiewicz, Zbigniew (with Defever, F.; Troost, Walter) Nonassociative superconformal 
algebras. 92i:17004 

van den Hijligenberg, N. W. (with Post, Gerhard) Defining relations for Lie algebras of 
vector fields. 92h:17025 

Hollowood, Tim see Evans, Jonathan, 92h:81150 

Holmes, Randall R. Simple restricted modules for the restricted contact Lie algebras. 
92m:17034 

Hussin, Véronique see Beckers, J.; et al., 92e:58193 

Kantor, I. L. Connection between Poisson brackets and Jordan and Lie superalgebras. 
92£:17040 

Kaplansky, Irving Z2-graded algebras. 92a:17005 

Khovanova, T. Lie superalgebra structure on eigenfunctions, and jets of the resolvent’s 
kernel near the diagonal of an nth order ordinary differential operator. 92b:58095 

Khudaverdyan, O. M. (with Nersessian, A. P.) Canonical Poisson brackets of different 
gradings and strange superalgebras. 92h:58014b 

Kim, Chang-Ho (with Park, Young-Jai; Kim, Kee Yong; Kim, Yong Duk; I’ Yi, W. S.) 
Superalgebraic truncations in supergravities. 92h:83071 

Kim, Kee Yong see Kim, Chang-Ho; et al., 92h:83071 


17B Lie algebras 


17B70 


Kim, Yong Duk see Kim, Chang-Ho; et al., 92h:83071 

Kobayashi, Yuji (with Nagamachi, Shigeaki) Characteristic functions and invariants of 
supermatrices. 92c:17003 

Sch bach, Yvette (with Magri, Franco) Poisson-Nijenhuis structures. (French 

summary) 92b:17026 

— Grand crochet, crochets de Schouten et cohomologies d’algébres de Lie. (English 
summary) [The big bracket, Schouten brackets and Lie algebra cohomologies] 92b:17028 

Krasil’shchik, I. S. Supercanonical algebras and Schouten brackets. (Russian) 92c:17025 

Kalish, P. P. see Celeghini, Enrico; et al., 92j:81099 

Kuznetsov, M.I. On Lie algebras of contact type. 92a:17026 

Landi, Giovanni see De Filippo, Sergio; et al., 92m:58057 

Leites, D. A. (with Serganova, V. V.) Metasymmetry and Volichenko algebras. 92b:17005 

— (with Serganova, V. V.) Models of representations of some classical supergroups. 
92j:17001 

— see also Chaichian, Masud; et al., (92h:81008) 

van der Lende, E. D. (with Pijls, H.G. J.) Super Hamiltonian operators and Lie superalge- 
bras. 92d:58079 

Liao, Li (with Song, Xing Chang) q-deformation of Lie superalgebras B(m,n), B(0,n), 
C(1 +n) and D(m, n) in their boson-fermion representations. 92j:81104 

Linetskii, V. Ya. see Fradkin, E. S., 92a:81053 

Lakierski, Jerzy see Chaichian, Masud; et al., (92h:81008) 

Magri, Franco see Ki Sch bach, Yvette, 92b:17026 

Marmo, G. see De Filippo, Sergio; et al., 92m:58057 

Mohammedi, Noureddine General super-Virasoro construction on affine ¥. 92i:81100 

Morimoto, Tohru Generalized Spencer cohomology groups and quasi-regular bases. 
92¢:58154 

Morosi, C. (with Tondo, G.) GN manifolds, Yang-Baxter equations and ILW hierarchies. 
92e:58098 

Nagamachi, Shigeaki see Kobayashi, Yuji, 92c:17003 

Nakanishi, Nobutada On the structure of infinitesimal automorphisms of linear Poisson 
manifolds. I, II. 92b:58073 

Neher, Erhard (with Nguyen, D.) Finite gradings of Kac-Moody algebras. 92g:17035 

Nersessian, A. P. see Khudaverdyan, O. M., 92h:58014b 

Nguyen, D. see Neher, Erhard, 92g:17035 

Nishiyama, Kyo see Furutsu, Hirotoshi, 92i:17003 

Onishchik, A. L. Lie superalgebras of vector fields. 92g:17030 

Ovsienko, O. D. Deformation of Poisson structures and contact Lie (super) algebras of 
string theories. (Russian) 92i:17031 

Palev, Tchavdar D. On the representations of the basic Lie superalgebras: Gel’fand Zetlin 
basis for sl(1,m). 92g:17002 

— see also Celeghini, Enrico; et al., 92f:17013 

Pan, Feng (with Cao, Yu Fang) Matrix representation of Osp(2/2) in the U(1/1) basis. 
92b:81053 

Park, Young-Jai see Kim, Chang-Ho; et al., 92h:83071 

Penati, S. see Delius, Gustav W.; et al., 92f:81164 

Pijls, H. G. J. see van der Lende, E. D., 924:58079 

Pinczon, Georges see Benamor, Hédi, 92c:17028 

Poletaeva, E. Structure functions on the usual and exotic symplectic and periplectic 
supermanifolds. 92h:58207 

Post, Gerhard see van den Hijligenberg, N. W., 92h:17025 

Quesne, C. Supersymmetry and the Dirac oscillator. 924:81036 

Ragoucy, E. see Frappat, L.; et al., 92e:17036 

Ramos, Eduardo see Figueroa-O’Farrill, José M., 92e:58091 

Savel/ev, M. V. (with Vershik, A. M.) A new class of infinite-dimensional Lie algebras 
(continuum Lie algebras) and associated nonlinear systems. 92h:17024 

Schlosser, Hartmut A closed formula for the rule of Littlewood/Richardson with applica- 
tions in the theory of representations of gl(V) and the superalgebra pl(V). 92e:05122 

Semenov, V. V. (with Chumakov, S. M.) Generalizations of the superalgebra other than the 
parasuperalgebra. 92¢e:81042 

Serganova, V. V. see Leites, D. A., 92b:17005 and 92j:17001 

Sezgin, Ergin Gauge theories of infinite-dimensional Hamiltonian superalgebras. (see 
92i:81012) 

Song, Xing Chang see Liao, Li, 92j:81104 

Sorace, Emanuele see Celeghini, Enrico; et al., 92j:81099 

Spiridonov, V. P. see Floreanini, Roberto; et al., 92a:81075 

Tarlini, Marco see Celeghini, Enrico; et al., 92f:17013 and 92j:81099 

Teolis, Antonio G. B. see Brini, Andrea, 92k:17006 

Thomas, Jean-Claude see Félix, Yves; et al., 92i:57034 and 92m:55014 

Thuillier, F. see Frappat, L.; et al., 92e:17036 

Tondo, G. see Morosi, C., 92e:58098 

Troost, Walter see Hasiewicz, Zbigniew; et al., 92i:17004 

Tsohantjis, I. (with Cornwell, J. F.) The complete root systems of the affine Kac-Moody 
superalgebras. 92c:17040 

Turtoi, Adriana About the supermanifolds. 92b:58015 

Vanizura, Jiti Derivations on the Nijenhuis-Schouten bracket algebra. 92a:17023 

Vershik, A. M. see Savel/ev, M. V., 92h:17024 

Vilasi, G. see De Filippo, Sergio; et al., 92m:58057 

Vinet, Luc see Floreanini, Roberto; et al., 92a:81075 and D’Hoker, Eric; et al., 92i:17017 

Weiss, Winfried R. E. see Hannabuss, Keith C., 92a:46063 

Winternitz, Pavel see Beckers, J.; et al., 92e:58193 

rYi, W.S. see Kim, Chang-Ho; et al., 92h:83071 

Zanon, D. see Delius, Gustav W.; et al., 92f:81164 

Zhang, R. B. (with Gould, M. D.; Bracken, A. J.) Solutions of the graded classical Yang- 
Baxter equation and integrable models. 924:81067 

— Invariants of the quantum supergroup U,(gl(m/1)). 92j:17017 

— see also Gould, M. D.; et al., 92h:17014 

Zinoun, A. (with Cortois, J.) Unification of the theory of composite and elementary 
particles (nonrelativistic theory). 92f:81235 

Zolotykh, A. A. Trace identities of matrix superalgebras with involution. (Russian) 
92a:17031 











17B81 


17B81 Applications to physics 


Altschiiler, Daniel (with Itzykson, Claude) Remarks on integration over Lie algebras. 
(French summary) 92b:17052 

Antoniou, Ioannis E. (with Misra, Baidyanath) Characterization of semidirect sum Lie 
algebras. 92b:17053 

Aulakh, Charanjit S. Curiouser and curiouser at integer central charge. 92a:17047 

Chaichian, Masud (with Leites, D. A.; Lukierski, Jerzy) A new doubly infinite-dimensional 
superalgebra with central extension. (see 92h:81008) 

Dobrev, V. K. (with Ganchev, A. Ch.) On the classification of modular invariants for the 
N = 2 twisted superconformal algebra. 92f:17037 

Ganchev, A. Ch. see Dobrev, V. K., 92f:17037 

Goddard, Peter Extended conformal algebras. 92a:17048 

Gonzalez-Lépez, Artemio (with Kamran, Niky; Olver, Peter J.) Quasi-exactly solvable Lie 
algebras of differential operators in two complex variables. 92g:17045 

Giinaydin, Murat N = 2 superconformal algebras and Jordan triple systems. 92h:17031 

Hosono, Shinobu (with Tsuchiya, Akihiro) Lie algebra cohomology and N = 2 SCFT based 
on the GKO construction. 92i:17042 

Itzykson, Claude From the harmonic oscillator to the A-D-E classification of conformal 
models. 92g:17046 

— see also Altschiiler, Daniel, 92b:17052 

Kamran, Niky see Gonzalez-Lépez, Artemio; et al., 92g:17045 

Leites, D. A. see Chaichian, Masud; et al., (92h:81008) 

Lukierski, Jerzy see Chaichian, Masud; et al., (92h:81008) 

Misra, Baidyanath see Antoniou, Ioannis E., 92b:17053 

Nergiz, Serdar (with Saclioglu, Cihan) On-shell three-string amplitudes and the structure 
constants of the Monster Lie algebra. 92f:17038 

Olver, Peter J. see Gonzalez-Lépez, Artemio; et al., 92g:17045 

Saclioglu, Cihan see Nergiz, Serdar, 92f:17038 

Todorov, Ivan T. On the classification of unitary lowest weight representations of conformal 
current algebras. 92b:17054 

Tsuchiya, Akihiro see Hosono, Shinobu, 92i:17042 

Viswanathan, R. Raju Classical extended conformal symmetries. 92a:17049 


Items with secondary classifications in 17B81 

Affleck, Ian (with Ludwig, Andreas W. W.) The Kondo effect, conformal field theory and 
fusion rules. 92e:81215 

Ahn, Changrim (with Schoutens, Kareljan; Sevrin, A.) The full structure of the super W; 
algebra. 92j:81075 

— (with Shigemoto, Kazuyasu) Onsager algebra and integrable lattice models. 92m:82035 

Aldaya, Victor (with Klauder, John R.; Navarro-Salas, José) Group quantization of the 
affine field model for gravity and nonstandard representations of the SU(1, 1)-Kac-Moody 
group. 92e:83025 

— (with Navarro-Salas, José) New solutions of the Hamiltonian and diffeomorphism 
constraints of quantum gravity from a highest weight loop representation. 92d:83035 

Allen, Theedore J. BRST quantization and coadjoint orbit theories. 92e:81265 

Altschiiler, Daniel Quantum equivalence of coset space models. (see 92:81008) 

Alvarez-Gaumé, Luis (with Sierra, German; Gomez, César) Topics in conformal field 
theory. 92j:81256 

Aoyama, Shogo The classical exchange algebra of the 2D effective supergravity in the 
geometrical formulation. 92a:81163 

Aratyn, H. (with Nissimov, E.; Pacheva, S.) Coset construction of superstrings via the 
coadjoint orbit method. 92a:81137 

Ardalan, F. (with Arfaei, H.; Rouhani, S.) SU(2), modular-invariant partition functions 
from orbifolds. 92h:81143 

Arfaei, H. see Ardalan, F.; et al., 92h:81143 

Argyres, Philip C. (with LeClair, André; Tye, S.-H. Henry) On the possibility of fractional 
superstrings. 92j:81228 

Aulakh, Charanjit S. (with Mahapatra, Swapna) Even integer lattices from simply laced 
GKO cosets. 92h:17026 

Bagger, Jonathan (with Nemeschansky, Dennis) Coset construction of chiral algebras. 
921:81263 

Bais, F. Alexander (with Tjin, T.; van Driel, Peter) Covariantly coupled chiral algebras. 
92m:81082 

Bakas, Ioannis (with Kiritsis, Elias B.) Grassmannian coset models and unitary rep 


NONASSOCIATIVE RINGS AND ALGEBRAS 


92k:81050 

Bergshoeff, E. A. (with Pope, Christopher; Stelle, K. S.) Covariant w,,. gravity. 92f:81161 

— (with de Wit, B.; Vasil/ev, M. A.) The structure of the super-W,,.(A) algebra. 92k:81051 

— (with Vasil’ev, M. A.; de Wit, B.) The super-W,,(A) algebra. 92b:81054 

— Nonlinear super-W algebras at fixed central charge. 92k:81052 

Bern, Zvi (with Dunbar, David C.) Nondiagonal modular invariants and extensions of Kac- 
Moody algebras. 92a:17034 

Bernard, Denis (with LeClair, André) Residual quantum symmetries of the restricted sine- 
Gordon theories. 92a:81051 

— Hidden Yangians in 2D massive current algebras. 92a:81052 

Bershadskii, M. A. Conformal field theories via Hamiltonian reduction. 92f:81162 

Biedenharn, L.C. (with Lohe, M. A.) Quantum groups and basic hypergeometric functions. 
92d:33047 

Bilal, Adel Fusion and braiding in W-algebra extended and coset conformal theories. (see 
92h:81008) 

— Toda theories, W-algebras and their braiding and fusion properties. 92b:81055 

— W-algebras from Chern-Simons theory. 92g:81066 

Bonora, Loriano (with Martellini, Maurizio; Rinaldi, Maurizio; Wu, Ke) Conformal 
invariance and nonflat background metric on a genus g Riemann surface. (see 92b:83004) 

— (with Zhang, Yao Zhong; Martellini, Maurizio) SL(2), WZNW models, perturbations 
and integrable models. 92b:81166 

Bougourzi, A. Hamid (with Ho-Kim, Q.; Kikuchi, Yukio; Lam, C. S.) Uniqueness of 
generalized parafermions. 92g:81161 ; 

Bouwknegt, Peter (with McCarthy, J. G.; Pilch, Krzysztof) On the free field resolutions for 
coset conformal field theories. 92k:81053 

— (with McCarthy, J. G.; Nemeschansky, Dennis; Pilch, Krzysztof) Vertex operators and 
fusion rules in the free field realizations of WZNW models. 92h:81061 

Bowcock, Peter Quasiprimary fields and associativity of chiral algebras. 92g:81067 

Boyanovsky, Daniel (with Holman, Richard) Critical behavior and duality in extended sine- 
Gordon theories. 92i:82041 

Bracken, A. J. see Gould, M. D.; et al., 92h:17014 

Braden, H. W. (with Corrigan, E.; Dorey, P. E.; Sasaki, Ryu) Aspects of affine Toda field 
theory. 92b:81167 

— (with Sasaki, Ryu) The S-matrix coupling dependence for a, d and e affine Toda field 
theory. 92a:81167 

Budzytiski, Robert J. (with Spaliriski, Michal) On the chiral algebra of topological 
conformal field theory. 92m:81231 

Bulgac, Aurel (with Kusnezov, Dimitri) Classical limit for Lie algebras. 92a:81082 

Buturovi¢, Edin Chiral generations, Poincaré polynomials and coset models with N = 2 
supersymmetry. 92i:81226 

Cai, Yunhai (with He, Anming) Field identifications of SU(m + n)/SU(m) x SU(n) x U(1) 
conformal models. 92¢:81154 

Caselle, M. Character identities implied by super-W3 invariance and generalized Coulomb 
gas descriptions. 92m:81084 

Castellani, Leonardo On the existence of realistic type II superstring models. 92j:81236 

Celeghini, Enrico (with Giachetti, Riccardo; Kulish, P. P.; Sorace, Emanuele; Tarlini, 
Marco) Hopf superalgebra contractions and R-matrix for fermions. 92j:81099 

Ceresole, Anna T. (with Fré, Pietro; Gliozzi, Ferdinando; Vinti, Stefano) Complex free 
fermion superstrings as groupfold compactifications. 92g:81141 

Chang, Zhe The Wess-Zumino-Witten models on the N-punctured Riemann sphere. 
92b:81169 

Channell, P. J. (with Scovel, J.C.) Integrators for Lie-Poisson dynamical systems. 
92g:58033 

Chapline, George F. see Yamagishi, Kengo, 92b:83079 

Charpentier, Eric (with Gawedzki, Krzysztof) Wess-Zumino-Witten conformal field theory 
for simply laced groups at level one. 92m:81233 

Choi, Jae Hoon (with Kim, Jae Kwan) Generalized characters of the level-one Wess- 
Zumino-Witten model for simply laced groups on Riemann surfaces. 92h:81147 

Chumakov, S.M. see Semenov, V. V., 92e:81042 

Coquereaux, R. Elementary fermions and SU(2|1) representations. 924:81042 

Corrigan, E. (with Dorey, P. E.) A representation of the exchange relation for affine Toda 
field theory. 92h:81148 

— see also Braden, H. W.; et al., 92b:81167 

Cortois, J. see Zinoun, A., 92f:81235 





tions of W,,. 92b:81164 

Balog, J. (with Fehér, L. Gy.; Forgacs, P.; O’Raifeartaigh, Lochlainn; Wipf, Andreas) Kac- 
Moody realization of W -algebras. 92d:81044 

Bardakci, K. (with Crescimanno, M.; Hotes, S. A.) Classical W algebras and nonabelian 
parafermions. 924:81045 

Bars, Itzhak Free fields and new cosets of current algebras. 92f:81045 

Batalin, I. A. (with Lavrov, P. M.; Tyutin, I. V.) Erratum: “Covariant quantization of gauge 
theories in the framework of extended BRST symmetry” [J. Math. Phys. 31 (1990), no. 6, 
1487-1493; MR 91e:81103]. 

Bauer, Michel (with Itzykson, Claude) Affine characters and modular transformations. 
92:17025 

Baulieu, Laurent (with Bellon, M. P.; Grimm, Richard) Some remarks on the gauging of the 
Virasoro and W)4.. algebras. 92i:81095 

Beckers, J. Superalgébres de Lie, supersymétries et parastatistiques. (English summary) [Lie 
superalgebras, supersymmetries and parastatistics] 92¢:81056 

— (with Debergh, N.) Parasupersymmetries and Lie superalgebras. (see 92g:81003) 

— (with Debergh, N.) N = 2-extended supersymmetries and Clifford algebras. 92b:17045 

— (with Debergh, N.) On colour superalgebras in parasupersymmetric quantum mechanics. 
92d:81046 

Bégin, Luc (with Mathieu, Pierre; Walton, Mark A.) New example of a generating function 
for WZNW fusion rules. 92m:81228 

Bellon, M. P. see Baulieu, Laurent; et al., 921:81095 

Belov, A. A. (with Lozovik, Yu. E.) New conformal theories, k = 4 magic level, and 
integrable models. (Russian) 92a:81166 

Benoit, Louis (with Saint-Aubin, Yvan) Singular vectors of the Neveu-Schwarz algebra. 


Cresci M. Geometry and duality of a nonabelian coset model. 92m:81234 

— see also Bardakci, K.; et al., 92d:81045 

Cuerno, R. Quantum symmetries in the free field realization of W,, algebras. 92m:81106 

Cummins, C. J. su(m) and sp(2n) WZW fusion rules. 92g:81165 

— (with Mathieu, Pierre; Walton, Mark A.) Generating functions for WZNW fusion rules. 
92d:81117 

Das, Sumit R. (with Dhar, Avinash; Mandal, Gautam; Wadia, Spenta R.) Bosonization of 
nonrelativistic fermions and W-infinity algebra. 92j:81267 

Dattoli,G. (with Torre, Amalia) A general view to Lie algebraic methods in applied 
mathematics, optics and transport systems for charged beam accelerators. (see 92¢:58025) 

Davies, Brian Onsager’s algebra and superintegrability. 92d:82014 

Debergh, N. On the harmonic oscillator and its invariance superalgebras. 92g:81061 

— sce also Beckers, J., 92b:17045; 92d:81046 and (92g:81003) 

Deck, Thomas Deformations from Virasoro to Krichever-Novikov algebras. 924:17027 

Deckmyn, Alex (with Troost, Walter) Affine Lie superalgebras and conformal stress tensors. 
92m:81085 

— (with Schrans, Stany) W3 constructions on affine Lie algebras. 92j:81077 

Defever, F. (with Troost, Walter; Hasiewicz, Zbigniew) Superconformal algebras with 
quadratic nonlinearity. 92k:17049 

— see also Hasiewicz, Zbigniew; et al., 92i:17004 

Delius, Gustav W. The N = 2 super-Kac-Moody algebra and the WZW-model in (2, 0) 
superspace. 92a:81202 

— (with Grisaru, Marcus T.; Penati, S.; Zanon, D.) Exact S-matrix and perturbative 
calculations in affine Toda theories based on Lie superalgebras. 92f:81164 

— (with Grisaru, Marcus T.; Penati, S.; Zanon, D.) The exact S-matrices of affine Toda 
theories based on Lie superalgebras. 92k:81171 





1992 


Della Selva, A. (with Sciarrino, A.) Realization of exceptional superalgebras in terms of 
fermion-boson creation-annihilation operators. 92m:81076 

Destri, C. (with de Vega, H. J.) New exact results in affine Toda field theories: free energy 
and wave-function renormalizations. 92m:81236 

— (with de Vega, H. J.; Fateev, V. A.) The exact S-matrices associated to non-simply laced 
affine Toda field theories: the B{") and C(") cases. 92k:81172 

— (with de Vega, H. J.) Exact tadpoles and dressed couplings in the A, Toda field theory. 
92k:81173 

Dhar, Avinash see Das, Sumit R.; et al., 92j:81267 

D’Hoker, Eric A new invariant of superconformal OSp(n|1). 92d:81047 

Di Francesco, Ph. (with Zuber, J.-B.) SU(N) lattice integrable models and modular 
invariance. (see 92m:81271) 

Dijkgraaf, Robbert (with Verlinde, Herman; Verlinde, Erik) Loop equations and Virasoro 
constraints in nonperturbative two-dimensional quantum gravity. 92a:81171 

Di Vecchia, P. (with Madsen, R. A.; Roland, Kaj) A vertex including emission of spin fields 
for an arbitrary bc system. 92c:81130 

Dolan, L. (with Goddard, Peter; Montague, Paul Stewart) Conformal field theory of twisted 
vertex operators. 92a:17032 

Dorey, P. E. see Braden, H. W.; et al., 92b:81167 and Corrigan, E., 92h:81148 

Dotsenko, V1.S. Solving the SU(2) conformal field theory using the Wakimoto free field 
representation. 92h:81149 

van Driel, Peter see Fuchs, Jiirgen, 92j:81270 and Bais, F. Alexander; et al., 92m:81082 

Dunbar, David C. see Bern, Zvi, 92a:17034 

Eguchi, Tohru (with Hosono, Shinobu; Yang, Sung-Kil) Hidden fermionic symmetry in 
conformal topological field theories. 92k:81174 

Falceto, Fernando (with Gawedzki, Krzysztof; Kupiainen, Antti) Scalar product of current 
blocks in WZW theory. 92g:81168 

Fateev, V. A. (with Luk’yanov, S. L.) Poisson-Lie groups and classical W-algebras. 
92i:81126 

— see also Destri, C.; et al., 92k:81172 

Fehér, L. Gy. (with O’Raifeartaigh, Lochlainn; Ruelle, Ph.; Tsutsui, I.; Wipf, Andreas) 
Generalized Toda theories and ¥ -algebras associated with integral gradings. 92m:81241 

— see also Balog, J.; et al., 92d:81044 

Feigin, B. L. (with Frenkel, Edward V.) Quantization of the Drinfel/d-Sokolov reduction. 
92g:17029 

— (with Frenkel, Edward V.) Semi-infinite Weil complex and the Virasoro algebra. 
92h:17028 

Fendley, Paul (with Lerche, W.; Mathur, S. D.; Warner, Nicholas) N = 2 supersymmetric 
integrable models from affine Toda theories. 92e:81223 

Figueroa-O’Farrill, José M. (with Kimura, Takashi) Geometric BRST quantization. I. 
Prequantization. 92h:58077 

— (with Schrans, Stany) Extended superconformal algebras. 92¢:81064 

— (with Schrans, Stany; Thielemans, Kris) On the Casimir algebra of B,. 92g:81068 

Finkelstein, R. J. Classical solitons and extended particles in quantum field theory. 
92g:81203 

Floreanini, Roberto (with Percacci, Roberto; Sezgin, Ergin) Infinite-dimensional algebras in 
Chern-Simons quantum mechanics. 92e:81105 

— (with Percacci, Roberto; Sezgin, Ergin) Quantum mechanics on the circle and Wj... 
921:81096 

Forgics, P. see Balog, J.; et al., 92d:81044 

Fradkin, E.S. (with Linetskii, V. Ya.) Infinite-dimensional generalizations of finite- 
dimensional symmetries. 92c:81056 

— (with Linetskii, V. Ya.) Superconformal higher-spin theory in the cubic approximation. 
92i:81319 

— (with Linetskii, V. Ya.) Infinite-parametric extension of the conformal algebra in D > 2 
space-time dimensions. 92a:81054 

— (with Linetskii, V. Ya.) Supersymmetric version of the 3D Virasoro-like algebra and 
supersymmetrization of SU(oo). 92a:81055 

— (with Linetskii, V. Ya.) An exceptional N = 8 superconformal algebra in two dimensions 
associated with F(4). 92k:81054 

Frappat, L. (with Ragoucy, E.; Thuillier, F.) General construction of the Virasoro algebra 
from superalgebras. 92¢:17036 

Frau, Marialuisa (with Lerda, Alberto; McCarthy, J. G.; Sciuto, S.) Operator formalism 
and free field representation for minimal models on Riemann surfaces. 92a:81174 

— (with McCarthy, J. G.; Lerda, Alberto; Sciuto, S.; Sidenius, J.) N = 2 minimal models on 
Riemann surfaces. 92a:81175 

Fré, Pietro see Ceresole, Anna T.; et al., 92g:81141 

Freeman, M. D. On the mass spectrum of affine Toda field theory. 92i:81274 

Frenkel, Edward V. see Feigin, B. L., 92g:17029 and 92h:17028 

Fring, A. (with Liao, H. C.; Olive, David I.) The mass spectrum and coupling in affine Toda 
theories. 92f:81167 

Fu, Hong Chen Inhomogeneous differential realization, boson-fermion realization of Lie 
superalgebras and their indecomposable representations. 92h:17029 

Fuchs, Jiirgen (with van Driel, Peter) Fusion rule engineering. 92j:81270 

Fujikawa, Kazuo (with Suzuki, Hiroshi) Topological conformal algebra and BRST algebra 
in noncritical string theories. 92j:81242 

Gato-Rivera, B. (with Schellekens, A. N.) Complete classification of simple current 
automorphisms. 92a:81056 

Gava, Edi (with Narain, K. S.) Schwinger-Dyson equations for the two-matrix model and 
W, algebra. 92i:81276 

Gawedzki, Krzysztof Geometry of Wess-Zumino-Witten models of conformal field theory. 
92g:81170 

— see also Falceto, Fernando; et al., 92g:81168 and Charpentier, Eric, 92m:81233 

Ge, Mo Lin (with Li, Jing Fa) Hamiltonian structures of the two-dimensional classical 
integrable system, loop algebras and basic Poisson brackets. (see 92b:58002) 

Gepner, Doron Fusion rings and geometry. 92j:81271 

Gerasimov, A. A. (with Levin, A.; Marshakov, A. V.) On W-gravity in two dimensions. 
92i:81278 

Gervais, Jean-Loup Lie and quantum group structures common to integrable and conformal 
theories. (see 92h:81009) 


17B Lie algebras 


17B81 


Ghoshal, Debashis (with Mukherji, Sudipta) No ghost theorem and cohomology theorem 
for strings in arbitrary static backgrounds. 92e:81271 

Giachetti, Riccardo see Celeghini, Enrico; et al., 92j:81099 

Giveon, Amit (with Porrati, Massimo) Duality invariant string algebra and D = 4 effective 
actions. 92¢:81134 

— (with Halpern, M. B.; Kiritsis, Elias B.; Obers, N. A.) The superconformal master 
equation. 92i:81097 

Gliozzi, Ferdinando see Ceresole, Anna T.; et al., 92g:81141 

Goddard, Peter see Dolan, L.; et al., 92a:17032 

Gémez, César see Alvarez-Gaumé, Luis; et al., 92j:81256 

Goodman, Frederick M. (with Nakanishi, Tomoki) Fusion algebras in integrable systems in 
two dimensions. 92i:81281 

Gould, M. D. (with Zhang, R. B.; Bracken, A. J.) Lie bi-superalgebras and the graded 
classical Yang-Baxter equation. 92h:17014 

Griffin, Paul A. (with Hernandez, Oscar F.) Feigin-Fuchs derivation of SU(1, 1) 
parafermion characters. 92m:81247 

Grimm, Richard see Baulieu, Laurent; et al., 92i:81095 

Grisaru, Marcus T. (with Lerda, Alberto; Penati, S.; Zanon, D.) Renormalization group 
flows in generalized Toda field theories. 92b:81126a 

— (with Penati, S.) Renormalization group flows in generalized Toda field theories. II. 
Nonsimply laced algebras. 92b:81126b 

— (with Penati, S.; Zanon, D.) Mass corrections in affine Toda theories based on Lie 
superalgebras. 92b:81122 

— see also Delius, Gustav W.; et al., 92£:81164 and 92k:81171 

Grosse, H. (with Langmann, E.) On current superalgebras and super-Schwinger terms. 
92b:81056 

Halpern, M. B. (with Obers, N. A.) Unitary irrational central charge on compact g: high- 
level analysis and SU(3)§asic- 92681048 

— (with Obers, N. A.) Unitary irrational central charge on compact g. I. 
(simply-laced g,){77. 92g:17037 

— (with Yamron, Jonathan P.) A generic affine-Virasoro action. 92c:81162 

— see also Giveon, Amit; et al., 92i:81097 

Hasiewicz, Zbigniew (with Defever, F.; Troost, Walter) Nonassociative superconformal 
algebras. 92i:17004 

— see also Defever, F.; et al., 92k:17049 

Hayashi, Masahito Determination of fusion rule for E7-type conformal field theory. 
92j:81276 

— Determination of fusion rule for Eg-type conformal field theory. 92j:81277 

He, Anming see Cai, Yunhai, 92c:81154 

Hegenbarth, Friedrich (with Hirshfeld, Allen C.) The geometric origin of BRS symmetry. 
92e:81255 

Henningson, Mans (with Hwang, Stephen; Roberts, Patrick; Sundborg, Bo) Modular 
invariance of SU(1, 1) strings. 92f:81142 

— (with Hwang, Stephen) The unitarity of SU(1, 1) fermionic strings. 92k:81145 

Hernandez, Oscar F. see Griffin, Paul A., 92m:81247 

Hirshfeld, Allen C. see Hegenbarth, Friedrich, 92e:81255 

Ho-Kim, Q. see Bougourzi, A. Hamid; et al., 92g:81161 

Hollowood, Tim A connection between connections. Toda conformal field theories and 
topological gauge theories. 92b:81177 

Holman, Richard see Boyanovsky, Daniel, 92i:82041 

Hoppe, Jens Infinite-dimensional algebras and (2 + 1)-dimensional field theory—yet 
another view of gl(oo): some new algebras. 92a:17033 

Hornfeck, K. On the central charge for the W algebras. 92a:81057 

Hosono, Shinobu see Eguchi, Tohru; et al., 92k:81174 

Hotes, S. A. see Bardakci, K.; et al., 92d:81045 

Huang, Chao Shang see Zhang, Zhao Xi; et al., 92c:81194 

Huitu, K. (with Nemeschansky, Dennis) Supersymmetric Gel'fand-Dickey algebra. 
921:81098 

Hull, Christopher M. Higher-spin extended conformal algebras and ¥ -gravities. 
92g:81172 

— The geometry of W -gravity. 92g:81173 

— Chiral W -gravities for general extended conformal algebras. 92i:81283 

Husain, Viqar Kac-Moody algebras from general covariance. 92j:81078 

Hwang, Stephen No-ghost theorem for SU(1, 1) string theories. 92i:81284 

— see also Henningson, Mans; et al., 92f:81142 and 92k:81145 

Inami, Takeo (with Izawa, Ken-Iti) Super-Toda theory from WZNW theories. 92i:81286 

Intriligator, Kenneth Fusion residues. 92k:81180 

Ito, Katsushi Quantum Hamiltonian reduction and N = 2 coset models. 92c:81165 

Itoh, Katsumi BRST quantization of Polyakov’s two-dimensional gravity. II. 92¢:81210 

Itoyama, H. (with Matsuo, Yutaka) w),..-type constraints in matrix models at finite NV. 
92f:81172 

Itzykson, Claude see Bauer, Michel, 92f:17025 

Ivanov, Evgenii Alekseevich? (with Krivonos, S. O.; Leviant, V.M.) N =3 and N=4 
superconformal WZNW sigma models in superspace. I. General formalism and the N = 3 
case. 92d:81124 

Izawa, Ken-Iti see Inami, Takeo, 92i:81286 

Jacques, Michel (with Saint-Aubin, Yvan) The hidden symmetry algebra in D = 2 S" sigma 
models: a companion to Wu’s contribution. 92f:81173 

Jarvis, P.D. (with Zhang, R. B.) c= 1 coset models and their fusion algebras. 92d:81048 

Jing, SiCong (with Xu, Jian Jun!) Comment on the g-deformed fermionic oscillator. 
92j:81102 

Kaiser, R. K. Classification of GSO projections and rank reduction in the covariant lattice 
formalism. 92k:81149 

Kamefuchi, Susumu see Ohnuki, Yoshio, 92k:81080 

Karasév, M. V. see Vorob’ev, Yu. M., (92b:58001) 

Kausch, H. G. (with Watts,G.M.T.) A study of W-algebras using Jacobi identities. 
92d:17022 

— Extended conformal algebras generated by a multiplet of primary fields. 92c:81169 

Kawai, Toshiya Pre-restricted models and generalized supersymmetry. 92c:81170 

Kazama, Yoichi Novel topological conformal algebras. 92m:81086 





17B81 


Kent, Adrian Singular vectors of the Virasoro algebra. 92m:17044 

Khadzhiivanov, L. K. (with Paunov, R. R.; Todorov, Ivan T.) Extended chiral conformal 
theories with a quantum symmetry. 92m:81251 

— (with Paunov, R. R.; Todorov, Ivan T.) Quantum group extended chiral p-models. 
92g:81175 

Kikuchi, Yukio see Bougourzi, A. Hamid; et al., 92g:81161 

Kim, Jae Kwan see Choi, Jae Hoon, 92h:81147 

Kimura, Kazuhiro Superbosonization of the supersymmetric sI(2) Wess-Zumino-Witten 
model. 92b:81181 

Kimura, Takashi see Figueroa-O’Farrill, José M., 92h:58077 

Kiritsis, Elias B. see Bakas, Ioannis, 92b:81164 and Giveon, Amit; et al., 92i:81097 

Klauder, John R. see Aldaya, Victor; et al., 92e:83025 

Klein, Abraham (with Marshalek, E.R.) Boson realizations of Lie algebras with applica- 
tions to nuclear physics. 92j:81070 

Koca, Mehmet (with Mussardo, Giuseppe) Mass formulae in Toda field theories. 
92¢:81173 

Komata, Shiro (with Mohri, Kenji; Nohara, Hiroshi) Classical and quantum extended 
superconformal algebra. 92j:81079 

Kounnas, Costas (with Porrati, Massimo; Rostand, Bruno) On N = 4 extended super- 
Liouville theory. 92f:81176 

Krause, Jorge Nonabelian group quantization and quantum kinematic invariants of some 
noncompact Lie groups. 92h:81059 

Krivonos, S. O. see Ivanov, Evgenii Alekseevich’; et al., 92d:81124 

ten Kroode, Fons (with van de Leur, Johan) Representations of the infinite matrix algebra. 
92b:17033 

Kulish, P. P. see Celeghini, Enrico; et al., 92j:81099 

Kunitomo, Hiroshi Topological SL(3, R) gravity and the quantum W,; symmetry. 92m:81254 

Kupiainen, Antti see Falceto, Fernando; et al., 92g:81168 

Kurdgelaidze, D. F. Foundations of nonassociative field theory. (Russian. English summary) 
92m:81293 

Kusnezov, Dimitri The U(16) algebraic lattice. II. Analytic construction. 92e:81058 

— see also Bulgac, Aurel, 92a:81082 

Lam, C.S. see Bougourzi, A. Hamid; et al., 92g:81161 

Landi, Giovanni (with Marmo, G.) Algebraic gauge theory and noncommutative geometry. 
(see 92g:81003) 

Langmann, E. see Grosse, H., 92b:81056 

Lauer, J. (with Mas, Javier; Nilles, Hans Peter) Twisted sector representations of discrete 
background symmetries for two-dimensional orbifolds. 92e:81202 

Lavrov, P. M. see Batalin, I. A.; et al. 

Leblanc, M. (with Mann, Robert B.; Zheng, Hai Bin) Perturbed SU(2) Wess-Zumino- 
Witten theories and their integrals of motion. 92f:81177 

— see also Sarkar, Utpal; et al., 92d:81130 

LeClair, André see Bernard, Denis, 92a:81051 and Argyres, Philip C.; et al., 92j:81228 

Lerche, W. On topological W -algebra field theories. 92¢:81176 

— see also Fendley, Paul; et al., 92e:81223 

Lerda, Alberto see Frau, Marialuisa; et al., 92a:81174; 92a:81175 and Grisaru, Marcus T.; et 
al., 92b:81126a 

van de Leur, Johan see ten Kroode, Fons, 92b:17033 

Leviant, V. M. see Ivanov, Evgenii Alekseevich; et al., 92d:81124 

Levin, A. see Gerasimov, A. A.; et al., 92i:81278 

Li, Liang Xin see Zhang, Zhao Xi; et al., 92c:81194 

Li, Miao Duality and modular invariance in rational conformal field theories. 92d:81125 

Lian, Bong H. (with Zuckerman, Gregg J.) BRST cohomology and highest weight vectors. I. 
92i:17026 

— (with Zuckerman, Gregg J.) New selection rules and physical states in 2D gravity. 
Conformal gauge. 92f:17022 

— (with Zuckerman, Gregg J.) 2D gravity with c = 1 matter. 92i:81296 

Liao, H.C. see Fring, A.; et al., 92f:81167 

Linetskii, V. Ya. see Fradkin, E. S., 92a:81054; 92a:81055; 92c:81056; 92i:81319 and 
92k:81054 

Lohe, M. A. see Biedenharn, L. C., 92d:33047 

Lépez de Silanes Valgaiién, F. Geometric analysis of the Lie algebra of the mechanical 
coupling matrices of the center of gravity in a rigid body. (Spanish. English summary) (see 
92b:00044) 

Lozovik, Yu. E. see Belov, A. A., 92a:81166 

La, H. (with Pope, Christopher; Romans, L. J.; Shen, Xiang; Wang, X.-J.) Polyakov 
construction of the N = 2 super-W; algebra. 92h:81062 

— (with Pope, Christopher; Shen, Xiang; Wang, X.-J.) The complete structure of Wy from 
W,, atc = —2. 92m:81087 

Li, Jing Fa see Ge, Mo Lin, (92b:58002) 

Ludwig, Andreas W. W. see Affleck, Ian, 92e:81215 

Lukdé, I. * O pasnoxenuu anre6pbi rpyntbi JBHxKeHHM NPOH3BOLHON YeTLIPeXxMepHOn 
KBaipaTH4HoOn dopmMpi. (Russian) [Decomposition of the algebra of the group of motions 
of an arbitrary four-dimensional quadratic form] 92i:22020 

Luk’yanov, S. L. see Fateev, V. A., 92i:81126 

Lyakhovskii, V.D. Deformations and rescaling in Kaluza-Klein models. 92j:83118 

Lynker, Monika (with Schimmrigk, Rolf) String compactifications on G/H Landau- 
Ginzburg theories. 92d:81107 

Mack, Gerhard (with Schomerus, Volker) Conformal field algebras with quantum 
symmetry from the theory of superselection sectors. 92i:81298 

Madsen, R. A. see Di Vecchia, P.; et al., 92c:81130 

Mahapatra, Swapna see Aulakh, Charanjit S., 92h:17026 

Maharana, Jnanadeva (with Paul, Samir K.; Sengupta, Gautam) Krichever-Novikov global 
operator formalism: NSR superstring in curved background. 92g:81151 

Makeenko, Yu. Loop equations in matrix models and in 2D quantum gravity. 92c:81179 

Malyshev, V. A. Algebra in constructive mathematical physics. (Russian) 92i:81099 

Mandal, Gautam see Das, Sumit R.; et al., 92j:81267 

Mann, Robert B. see Sarkar, Utpal; et al., 92d:81130 and Leblanc, M.; et al., 92f:81177 

Mansfield, Paul Closed string field theory: the failure of BRST cohomology for the open 
string. 92d:81108 


NONASSOCIATIVE RINGS AND ALGEBRAS 


1992 314 


— (with Stinchcombe, R. B.) Fisher renormalisation and conformal field theory. 92m:81258 

— (with Spence, B.) Anomaly cancellation for W G-gravity. 92c:81180 

Marcinek, Wiadystaw Generalized Lie algebras and related topics. I, II. 92i:17040 

Marmo, G. see Landi, Giovanni, (92g:81003) 

Marshakov, A. V. Bosonization of Wess-Zumino-Witten models and related conformal 
theories. 92¢:81181 

— see also Gerasimov, A. A.; et al., 92i:81278 

Marshalek, E. R. see Klein, Abraham, 92j:81070 

Martellini, Maurizio see Bonora, Loriano; et al., 92b:81166 and (92b:83004) 

Martin, I. (with Restuccia, A.) On the Virasoro algebra on a loop space background. 
(Italian and Russian summaries) 92b:81058 

Mas, Javier see Lauer, J.; et al., 92e:81202 

Mathieu, Pierre KdV type equations in conformal field theory and subcritical strings. 
92m:81261a 

— see also Cummins, C. J.; et al., 92d:81117 and Bégin, Luc; et al., 92m:81228 

Mathur, S. D. (with Warner, Nicholas) Irreducible integrable theories from tensor products 
of conformal models. 92f:81179 

— see also Fendley, Paul; et al., 92e:81223 

Matone, Marco Conformal field theory, real weight differentials and KdV equation in higher 
genus. 92d:58081 

Matsuo, Yutaka see Itoyama, H., 92f:81172 

McCabe, John Francis Super-Virasoro current algebra of the (4,0) ¢ model with the Taub- 
NUT metric. 92b:81059 

McCarthy, J.G. see Frau, Marialuisa; et al., 92a:81174; 92a:81175; Bouwknegt, Peter; et al., 
92h:81061 and 92k:81053 

Mikovié, Aleksandar R. Gauging the extended conformal algebras. 92b:81188 

Mirman, R. Poincaré algebra massless representations. 92e:81059 

Mizoguchi, S. The structure of representation for the W3) minimal model. 92k:81056 

Mlawer, Eli J. (with Naculich, Stephen G.; Riggs, Harold A.; Schnitzer, Howard J.) Group- 
level duality of WZW fusion coefficients and Chern-Simons link observables. 92f:81180 

Mohammedi, Noureddine Remarks on realizing classical and quantum W3; symmetry. 
92g:81069 

Mohri, Kenji see Nohara, Hiroshi, 92a:81187 and Komata, Shiro; et al., 92j:81079 

Momma, George Unitary coset conformal field theories based on noncompact groups. 
92j:81290 

Montague, Paul Stewart see Dolan, L.; et al., 92a:17032 

Morozov, A. Yu. On the concept of universal W,, algebra. 92g:81070 

Moshinsky, Marcos Boson realization of symplectic algebras and the matrix representation 
of their generators. 92b:17007 

— (with Quesne, C.) Universal symmetry Lie algebras for classical two-dimensional 
Hamiltonians and their translation to quantum mechanics. 92f:81044 

— see also Quesne, C., 92a:81025 

Mukherji, Sudipta see Ghoshal, Debashis, 92e:81271 

Mukhi, Sunil Modular geometry and the classification of rational conformal field theories. 
92k:81187 

Mussardo, Giuseppe see Koca, Mehmet, 92c:81173 

Naculich, Stephen G. see Mlawer, Eli J.; et al., 92f:81180 

Nair, V. P. Relativistic wave equation for anyons. 92i:81108 

Nakanishi, Tomoki see Goodman, Frederick M., 92i:81281 

Narain, K.S. see Gava, Edi, 92i:81276 

Narganes-Quijano, Francisco J. Bosonization of parafermions and related conformal 
models: Wy-algebras. 92g:81182 

— On the parafermionic Wy algebra. 92k:81057 

Navarro-Salas, José see Aldaya, Victor, 92d:83035 and 92e:83025 

Nemeschansky, Dennis see Bouwknegt, Peter; et al., 92h:81061; Huitu, K., 92i:81098 and 
Bagger, Jonathan, 92i:81263 

Nepomechie, Rafael I. Conformal algebra on the torus and its supersymmetric generaliza- 
tions. 92d:17028 

van Nieuwenhuizen, Peter see Schoutens, Kareljan; et al., 92b:81062 and 92£:81184 

Nilles, Hans Peter see Lauer, J.; et al., 92e:81202 

Nissimov, E. see Aratyn, H.; et al., 92a:81137 

Nohara, Hiroshi (with Mohri, Kenji) Extended superconformal algebra from super Toda 
field theory. 92a:81187 

— see also Komata, Shiro; et al., 92j:81079 

Nojiri, Mihoko M. (with Nojiri, Shin’ichi) N = 2 superconformal symmetry based on N = 
1 supersymmetric noncompact group current algebra. 92b:81061 

Nojiri, Shin’ichi The minimal series of N = 1 and N = 2 superconformal topological field 
theory. 92e:81238 

— N =2 superconformal topological field theory. 92j:81296 

— see also Nojiri, Mihoko M., 92b:81061 

Obers, N. A. see Halpern, M. B., 92f:81048; 92g:17037 and Giveon, Amit; et al., 92i:81097 

Odake, Satoru (with Sano, Takashi) W,,,. and super-W,, algebras with SU(N) symmetry. 
92e:81067 

Ohnuki, Yoshio (with Kamefuchi, Susumu) Symmetry between bosons and fermions. 
92k:81080 

Olive, David I. Introduction to conformal field theory and infinite-dimensional algebras. 
(see 92m:81004) 

— Introduction to conformal invariance and infinite-dimensional algebras. (see 92b:81009) 

— see also Fring, A.; et al., 92f:81167 

Olshanetskii, M. A. Quantum-mechanical calculation of the orders of finite simple groups 
of Lie type. (Russian. English summary) 92g:20075 

Ooguri, Hirosi (with Petersen, Jens Lyng; Taormina, Anne) Modular invariant partition 
functions for the doubly extended N = 4 superconformal algebras. 92k:17045 

O’Raifeartaigh, Lochlainn Liouville and Toda theories as constrained WZNW theories. 
92e:81240 

— (with Wipf, Andreas) Conformally reduced WZNW theories and two-dimensional 
gravity. 92e:81239 

— see also Balog, J.; et al., 92d:81044 and Fehér, L. Gy.; et al., 92m:81241 

Osipov, A. A. The gauge fixing extensions of the Krichever-Novikov superalgebras in the 
Ramond and Neveu-Schwarz closed superstring theory. 92j:81080 





315 1992 


Pacheva, S. see Aratyn, H.; et al., 92a:81137 

Palla, L. Perturbing the minimal parafermionic models. 92e:81241 

Papachristou, C. J. Recursion operator and current algebras for the potential SL(N, C) self- 
dual Yang-Mills equation. 92d:81049 

Paul, Samir K. see Maharana, Jnanadeva; et al., 92g:81151 

Paunov, R. R. see Khadzhiivanov, L. K.; et al., 92g:81175 and 92m:81251 

Pawelczyk, Jacek W,, gravities in the light-cone gauge. 92c:81187 

Penati, S. see Grisaru, Marcus T.; et al., 92b:81122; 92b:81126a; 92b:81126b; Delius, Gustav 
W,; et al., 92f:81164 and 92k:81171 

Percacci, Roberto see Floreanini, Roberto; et al., 92e:81105 and 92i:81096 

Petersen, Jens Lyng (with Taormina, Anne) Modular properties of doubly extended N = 4 
superconformal algebras and their connection to rational torus models. I. 92d:81050 

— see also Ooguri, Hirosi; et al., 92k:17045 

Pilch, Krzysztof see Bouwknegt, Peter; et al., 92h:81061 and 92k:81053 

Pope, Christopher (with Shen, Xiang; Romans, L. J.) W,. and the Racah-Wigner algebra. 
92¢:81057 

— (with Romans, L. J.; Shen, Xiang) Conditions for anomaly-free W and super-W algebras. 
92a:81059 

— (with Romans, L. J.; Sezgin, Ergin; Shen, Xiang) W-topological matter and gravity. 
92£:81049 

— (with Romans, L. J.; Stelle, K. S.) On W strings. 92j:81299 

— see also Bergshoeff, E. A.; et al., 92f:81161; Lu, H.; et al., 92h:81062 and 92m:81087 

Popov, A. D. Hyperbolic strings. 92b:81153 

Porrati, Massimo see Giveon, Amit, 92c:81134 and Kounnas, Costas; et al., 92f:81176 

Quesne, C. (with Moshinsky, Marcos) Symmetry Lie algebra of the Dirac oscillator. 
92a:81025 

— see also Moshinsky, Marcos, 92f:81044 

Ragoucy, E. (with Sorba, P.) New realizations of the super Virasoro algebra at c = 3. 
92k:81058 

— see also Frappat, L.; et al., 92e:17036 

Rama, S. Kalyana New special operators in W-gravity theories. 92h:81164 

Rapoport Campodénico, Diego Lucio On the construction of Lie-isotopic relativistic 
stochastic mechanics and Lie-isotopic potential theory from the Lie-isotopic geometry 
associated to a torsion potential. 

Rausch de Traubenberg, M. (with Savoy, C. A.) Twisted WZW superstring solutions. 
92e:81206 

Restuccia, A. see Martin, I., 92b:81058 

Riggs, Harold A. see Miawer, Eli J.; et al., 92f:81180 

Rinaldi, Maurizio see Bonora, Loriano; et al., (92b:83004) 

Roberts, Patrick see Henningson, Mans; et al., 92f:81142 

Rodgers, V.G. J. W.. and anomalies of self-dual Einstein theories. 92¢:81189 

Roland, Kaj see Di Vecchia, P.; et al., 92¢:81130 

Romans, L. J. Quasi-superconformal algebras in two dimensions and Hamiltonian 
reduction. 92d:81051 

— Realisations of classical and quantum W; symmetry. 92¢:81068 

— The N = 2 super-W, algebra. 92m:81088 

— see also Pope, Christopher; et al., 92a:81059; 92c:81057; 92f:81049; Lu, H.; et al., 
92h:81062 and Pope, Christopher; et al., 92j:81299 

Rostand, Bruno see Kounnas, Costas; et al., 92f:81176 

Rouhani, S. see Ardalan, F.; et al., 92h:81143 — 

Ruelle, Ph. (with Thiran, E.; Weyers, J.) Modular invariants for affine SU(3) theories at 
prime heights. 92b:17041 

— see also Fehér, L. Gy.; et al., 92m:81241 

Rihl, W. SL(N) Kac-Moody algebras and Wess-Zumino-Witten models. 92c:81190 

Sabra, Wafic A. Gauged Wess-Zumino-Novikov-Witten models and 2D quantum super- 
gravity. 92g:81183 

Sadov, V. A. Bases on multipunctured Riemann surfaces and interacting strings amplitudes. 
92¢e:81069 

Saint-Aubin, Yvan see Jacques, Michel, 92f:81173 and Benoit, Louis, 92k:81050 

Saito, Takesi Schwarzian derivative in the Krichever-Novikov algebra. 92g:81157 

Saller, H. An algebraic interpretation of quantized gauge interactions and BRS transforma- 
tions. 92k:81220 

Sanchez, Norma see de Vega, H. J., 92¢:81149 

Sano, Takashi see Odake, Satoru, 92e:81067 

Sarkar, Utpal (with Zheng, Hai Bin; Leblanc, M.; Mann, Robert B.) On the Yukawa 
couplings of N = 2 superconformal theories. 924:81130 

Sasaki, Ryu see Braden, H. W., 92a:81167 and 92b:81167 

Savoy, C. A. see Rausch de Traubenberg, M., 92e:81206 

Schellekens, A. N. (with Yankielowicz, Shimon) Extended algebras, modular invariants 
and fixed points [MR 91g:81149]. (see 92m:81271) 

— Classification of ten-dimensional heterotic strings. 92m:81220 

— see also Gato-Rivera, B., 92a:81056 

Schimmrigk, Rolf see Lynker, Monika, 92d:81107 

Schnitzer, Howard J. see Mlawer, Eli J.; et al., 92f:81180 

Schomerus, Volker see Mack, Gerhard, 92i:81298 

Schoutens, Kareljan (with Sevrin, A.; van Nieuwenhuizen, Peter) Properties of covariant W 
gravity. 92f:81184 

— (with Sevrin, A.; van Nieuwenhuizen, Peter) Nonlinear Yang-Mills theories. 92b:81062 

— (with Sevrin, A.) Minimal super-Wy algebras in coset conformal field theories. 92i:81102 

— see also Ahn, Changrim; et al., 92j:81075 

Schrans, Stany see Figueroa-O’Farrill, José M., 92e:81064; 92g:81068 and Deckmyn, Alex, 
92j:81077 

Schwarz, John H. Supersymmetric superstring compactification. 92j:81253 

Sciarrino, A. see Della Selva, A., 92m:81076 

Sciuto, S. see Frau, Marialuisa; et al., 92a:81174 and 92a:81175 

Scovel, J.C. see Channell, P. J., 92g:58033 

Semenov, V. V. (with Chumakov, S. M.) Generalizations of the superalgebra other than the 
parasuperalgebra. 92e:81042 

Sengupta, Gautam see Maharana, Jnanadeva; et al., 92g:81151 


17B Lie algebras 


17B81 


Serov, N. I. Reduction and exact solutions for the one-dimensional Born-Infeld equation. 
(Russian. English summary) 92k:35232 

Sevrin, A. see Schoutens, Kareljan; et al., 92b:81062; 92f:81184; 92i:81102 and Ahn, 
Changrim; et al., 92j:81075 

Sezgin, Ergin see Floreanini, Roberto; et al., 92e:81105; Pope, Christopher; et al., 92f:81049 
and Floreanini, Roberto; et al., 92i:81096 

Sfetsos, Konstadinos Degeneracy of string states in 2D black hole and a new derivation of 
SU(1, 1) parafermion characters. 92h:81168 

Shen, Xiang see Pope, Christopher; et al., 92a:81059; 92c:81057; 92:81049; Lu, H.; et al., 
92h:81062 and 92m:81087 

Shigemoto, Kazuyasu see Ahn, Changrim, 92m:82035 

Shin, H. J. Primary operators of coset conformal field theories. 92m:81266 

Sidenius, J. see Frau, Marialuisa; et al., 92a:81175 

Sierra, German see Alvarez-Gaumé, Luis; et al., 92j:81256 

Siopsis, George Quantum groups in WZW and Chern-Simons theories. 92e:17021 

Sorace, Emanuele see Celeghini, Enrico; et al., 92j:81099 

Sorba, P. see Ragoucy, E., 92k:81058 

Spalitiski, Michal see Budzytski, Robert J., 92m:81231 

Spence, B. see Mansfield, Paul, 92c:81180 

Spiegelglas, Mordechai Periodicity in G, and fusion rules. 92j:81305 

Spiridonov, V. P. Hierarchy of the parasupersymmetric Hamiltonians in quantum 
mechanics. 92¢:81043 

Stelle, K.S. see Bergshoeff, E. A.; et al., 92f:81161 and Pope, Christopher; et al., 92j:81299 

Stinchcombe, R. B. see Mansfield, Paul, 92m:81258 

Stone, Michael Vertex operators in the quantum Hall effect. 92¢:81235 

Sun, Chang Pu The boson-fermion realization of indecomposable representations of Lie 
hyperalgebras. (Chinese) 

Sundborg, Bo see Henningson, Mans; et al., 92f:81142 

Suzuki, Hiroshi see Fujikawa, Kazuo, 92j:81242 

Taormina, Anne The N = 2 and N = 4 superconformal algebras and string compactifica- 
tions. 92m:17048 

— see also Petersen, Jens Lyng, 92d:81050 and Ooguri, Hirosi; et al., 92k:17045 

Tarlini, Marco see Celeghini, Enrico; et al., 92j:81099 

Thielemans, Kris see Figueroa-O’Farrill, José M.; et al., 92g:81068 

Thiran, E. see Ruelle, Ph.; et al., 92b:17041 

Thuillier, F. see Frappat, L.; et al., 92e:17036 

Tjin, T. see Bais, F. Alexander; et al., 92m:81082 

Todorov, Ivan T. Finite temperature 2-dimensional QFT models of conformal current 
algebra. 92e:81248 

— see also Khadzhiivanov, L. K.; et al., 92g:81175 and 92m:81251 

Torre, Amalia see Dattoli, G., (92c:58025) 

Troost, Walter see Hasiewicz, Zbigniew; et al., 92i:17004; Defever, F.; et al., 92k:17049 and 
Deckmyn, Alex, 92m:81085 

Tsuchiya, Akihiro (with Yamada, Yasuhiko) Conformal field theory on moduli family of 
stable curves with gauge symmetries. 92a:81192 

— (with Ueno, Kenji; Yamada, Yasuhiko) Conformal field theory on universal family of 
stable curves with gauge symmetries. 92a:81191 

Tsutsui, I. see Fehér, L. Gy.; et al., 92m:81241 

Tye, S.-H. Henry see Argyres, Philip C.; et al., 92j:81228 

Tyutin, I. V. see Batalin, I. A.; et al. 

Tze, Chia Hsiung New phases of D > 2 current and diffeomorphism algebras in particle 
physics. 92m:81089 

Ueno, Kenji see Tsuchiya, Akihiro; et al., 92a:81191 

Urrutia, L. F. see Zertuche, F., 92a:81197 

Vandoren, S. Unitary representations of twisted N = 4 superconformal algebras. 92d:81052 

Varnhagen, R. Characters and representations of new fermionic W-algebras. 92m:17046 

Vasil’ev, M. A. see Bergshoeff, E. A.; et al., 92b:81054 and 92k:81051 

de Vega, H. J. (with Sanchez, Norma) Quantum group generalizations of string theory. 
92¢:81149 

— see also Destri, C.; et al., 92k:81172; 92k:81173 and 92m:81236 

Verlinde, Erik see Dijkgraaf, Robbert; et al., 92a:81171 

Verlinde, Herman see Dijkgraaf, Robbert; et al., 92a:81171 

Verstegen, D. New exceptional modular invariant partition functions for simple Kac-Moody 
algebras. 92a:81193 

Vinti, Stefano see Ceresole, Anna T.; et al., 92g:81141 

Vorob/ev, Yu. M. (with Karasév, M. V.) Deformation and cohomologies of Poisson brackets 
[in Topological and g ic hods of analysis (Russian), 75-89, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91g:58098]. (see 92b:58001) 

Wadia, Spenta R. An introduction to conformal field theory in two dimensions and string 
theory. (see 92a:81004) 

— see also Das, Sumit R.; et al., 92j:81267 

Walton, Mark A. see Cummins, C. J.; et al., 92d:81117 and Bégin, Luc; et al., 92m:81228 

Wang, X.-J. see Lu, H.; et al., 92h:81062 and 92m:81087 

Wang, Zhong Hua Physics counterpart of quasiconformal transformation, two-dimensional 
quantum gravity and their symmetries. 92e:81250 

Warner, Nicholas see Fendley, Paul; et al., 92e:81223 and Mathur, S. D., 92f:81179 

Watts, G. M. T. Erratum: “Determinant formulae for extended algebras in two-dimensional 
conformal field theory” [Nuclear Phys. B 326 (1989), no. 3, 648-672; MR 91d:17038). 
92e:17040 

— WB,, symmetry, Hamiltonian reduction and B(0,) Toda theory. 92i:81103 

— see also Kausch, H. G., 92d:17022 

Weimar, Evelyn The three-dimensional real Lie algebras and their contractions. 92g:17006 

Weyers, J. see Ruelle, Ph.; et al., 92b:17041 

Wipf, Andreas see Balog, J.; et al., 92d:81044; O’Raifeartaigh, Lochlainn, 92e:81239 and 
Fehér, L. Gy.; et al., 92m:81241 

de Wit, B. see Bergshoeff, E. A.; et al., 92b:81054 and 92k:81051 

Wu, Ke see Bonora, Loriano; et al., (92b:83004) 

Wu, Yong Shi! The hidden symmetry algebra in D = 2 S" sigma-models. (see 92b:17001) 

Xu, Jian Jun' see Jing, Si Cong, 92j:81102 

Xu, Kai Wen (with Zhu, Chuan Jie) Symmetry in two-dimensional gravity. 92h:81169 








17B81 


Yamada, Yasuhiko see Tsuchiya, Akihiro; et al., 92a:81191 and 92a:81192 ae 

Yamagishi, Kengo (with Chapline, George F.) Induced 4D self-dual quantum gravity: W,, 
algebraic approach. 92b:83079 

Yamron, Jonathan P. see Halpern, M. B., 92c:81162 

Yang, Sung-Kil see Eguchi, Tohru; et al., 92k:81174 

Yankielowicz, Shimon see Schellekens, A. N., (92m:81271) 

Yen, Tim Virasoro constraints for D»,,,\-, Es-, E7-, Eg-type minimal models coupled to 2D 
gravity. 92k:81197 

Yu, Zu Rong A new boson realization of the su(3) algebra. 92e:81061 

Yur'ev, D. V. An explicit form of the vertex operators in two-dimensional SL(2, C)-invariant 
field theory. 92e:81071 

— The explicit form of the vertex operator fields in two-dimensional quantum SL(2, C)- 
invariant field theory. 92h:81171 

— Classification of vertex operators in two-dimensional sl(2,C)-invariant quantum field 
theory. (Russian. English summary) 92i:81104 

— Algebraic structures of the quantum projective [sl(2, C)-invariant] field theory: local 
projective field algebra DSCR [sl(2,C)]. 92m:81090 

Zachos, Cosmas K. A presentation for Virasoro algebras. 92g:17040 

Zakharov, V. E. On the Lie algebra of motion integrals for two-dimensional hydrodynamic 
equations in Clebsh [Clebsch] variables. 92£:58066 

Zanon, D. see Grisaru, Marcus T.; et al., 92b:81122; 92b:81126a; Delius, Gustav W.; et al., 
92f:81164 and 92k:81171 

Zertuche, F. (with Urrutia, L. F.) The algebra of traces for conformal gravity in 2 + 1 
dimensions. 92a:81197 

Zhang, R. B. Invariants of the quantum supergroup U,(gl(m/1)). 92j:17017 

— see also Jarvis, P. D., 92d:81048 and Gould, M. D.; et al., 92h:17014 

Zhang, Yao Zhong see Bonora, Loriano; et al., 92b:81166 

Zhang, You Jin Symmetries and related loop algebra and Virasoro algebra for self-dual 
Yang-Mills equation. 92e:81154 

Zhang, Zhao Xi (with Huang, Chao Shang; Li, Liang Xin) W3 Ward identities on a torus. 
92c:81194 

Zheng, Hai Bin see Sarkar, Utpal; et al., 92d:81130 and Leblanc, M.; et al., 92f:81177 

Zhu, Chuan Jie see Xu, Kai Wen, 92h:81169 

Zinoun, A. (with Cortois, J.) Unification of the theory of composite and elementary 
particles (nonrelativistic theory). 92f:81235 

Zuber, J.-B. see Di Francesco, Ph., (92m:81271) 

Zacchini, R. The nonperturbative analysis of background duality in orbifold conformal field 
theory. 92a:81198 

Zackerman, Gregg J. see Lian, Bong H., 92f:17022; 92i:17026 and 92i:81296 


17B99 None of the above, but in this section 


Day, Jane M. (with So, W.; Thompson, Robert C.) Some properties of the Campbell-Baker- 
Hausdorff series. 92m:17049 

Oteo, J. A. The Baker-Campbell-Hausdorff formula and nested commutator identities. 
92b:17055 

So, W. see Day, Jane M.; et al., 92m:17049 

Thompson, Robert C. see Day, Jane M.; et al., 92m:17049 

Viskov, O. V. On the ordered form of a noncommutative binomial. (Russian) 92j:17029 


Items with secondary classifications in 17B99 

Desarkar, Bandana Some generating functions involving hypergeometric polynomials by Lie 
algebraic method. 924:33003 

Dorfmeister, Josef Special algebraic properties of Kahler algebras. 92b:32037 

Hazewinkel, Michiel Non-Gaussian linear filtering, identification of linear systems, and the 
symplectic group. 92g:93099 

Higgins, Philip J. (with Mackenzie, Kirill) Algebraic constructions in the category of Lie 
algebroids. 92e:58241 

Kantor, I. L. On the definition of a Freudenthal trilinear operation. (Russian) 92b:17003 

Levendorskii, S. Z. (with Soibel'man, Ya. S.) Some applications of the quantum Weyl 
groups. 92g:17016 

Li, Luen Chau (with Parmentier, Serge) Modified structures associated with Poisson Lie 
groups. 92h:58069 

Mackenzie, Kirill see Higgins, Philip J., 92e:58241 

McDaniel, Andrew (with Smolinsky, Lawrence) The topology of some spaces from 
Hamiltonian mechanics. 92j:20036 

Parmentier, Serge see Li, Luen Chau, 92h:58069 

Radulescu, Vicentiu D. A study of some special functions with Lie theory. 92i:33008 

Smolinsky, Lawrence see McDaniel, Andrew, 92j:20036 

Soibel’man, Ya. S. see Levendorskii, S. Z., 92g:17016 

Weiss, Wolfgang Sophus Lie’s fundamental theorem—categorical aspects. 92k:22011 


17Cxx Jordan algebras (algebras, triples and pairs) 


17C05 Identities and free Jordan structures 


D’Amour, Alain Zel'manov polynomials in quadratic Jordan triple systems. 92g:17047 

El Amine, Kaidi see Essannouni, Hassane; et al., 92f:17039 

Essannouni, Hassane (with Jiménez Garijo, Pedro; El Amine, Kaidi; Rodriguez-Palacios, 
Angel) Rational identities in Jordan algebras. 92f:17039 

— (with Kaidi, El Amin Mokhtar) Sur une conjecture de Jacobson. (English summary) [On 
a conjecture of Jacobson] 92j:17030 

Jiménez Garijo, Pedro Rational identities in Jordan algebras. (Spanish. English summary) 
(see 92g:00024) 

— see also Essannouni, Hassane; et al., 92f:17039 

Kaidi, El] Amin Mokhtar see Essannouni, Hassane, 92j:17030 

Rodriguez-Palacios, Angel see Essannouni, Hassane; et al., 92:17039 

Zel'manov, E.1. Solvability of Jordan nil algebras. (Russian) 92c:17045a 


NONASSOCIATIVE RINGS AND ALGEBRAS 


1992 316 


— On solvability of Jordan nil-algebras [translation of Trudy Inst. Mat. (Novosibirsk) 16 
(1989), Issled. po Teor. Kolets i Algebr, 37-54; MR 92c:17045a]. 92c:17045b 


17C10 Structure theory 


Angquela, José Angel Lattice definability of semisimple Jordan algebras. 92j:17031 
Loos, Ottmar On the socle of a Jordan pair. 92a:17050 

— Diagonalization in Jordan pairs. 92m:17050 

— Finiteness conditions in Jordan pairs. 92d:17030 

Neher, Erhard Jordan pairs with finite grids. 92g:17048 


Items with secondary classifications in 17C10 


Benslimane, Mohamed (with Rodriguez-Palacios, Angel) Caractérisation spectrale des 
algébres de Jordan Banach non commutatives complexes modulaires annihilatrices. 
[Spectral characterization of annihilating modular complex noncommutative Jordan 
Banach algebras] 92i:46059 

D’Amour, Alain Zel‘manov polynomials in quadratic Jordan triple systems. 92g:17047 

Hentzel, Irvin Roy (with Peresi, Luiz Antonio) Bernstein algebras given by symmetric 
bilinear forms. 92e:17051 


Li, Xi? Some equivalent definitions of regular algebras. (Chinese. English summary) 
92m:17054 

Neher, Erhard (with Nguyen, D.) Finite gradings of Kac-Moody algebras. 92g:17035 

Nguyen, D. see Neher, Erhard, 92g:17035 

Peresi, Luiz Antonio see Hentzel, Irvin Roy, 92e:17051 

Rodriguez-Palacios, Angel see Benslimane, Mohamed, 92i:46059 

Zel'manov, E.1. Solvability of Jordan nil algebras. (Russian) 92c:17045a 

— On solvability of Jordan nil-algebras [translation of Trudy Inst. Mat. (Novosibirsk) 16 
(1989), Issled. po Teor. Kolets i Algebr, 37-54; MR 92c:17045a]. 92c:17045b 


17C17 Radicals 


Items with secondary classifications in 17C17 


Beidar, K.I. (with Wiegandt, R.) Splitting theorems for nonassociative rings. 92a:17003 
Wiegandt, R. see Beidar, K. I., 92a:17003 


17C20 Simple, semisimple algebras 


Items with secondary classifications in 17C20 


Angquela, José Angel Lattice definability of semisimple Jordan algebras. 92j:17031 
Loos, Ottmar Finiteness conditions in Jordan pairs. 92d:17030 

Neher, Erhard (with Nguyen, D.) Finite gradings of Kac-Moody algebras. 92g:17035 
Nguyen, D. see Neher, Erhard, 92g:17035 


17C27 Idempotents, Peirce decompositions 


Loos, Ottmar On semiperfect Jordan pairs. 92e:17045 
— Fitting decomposition in Jordan systems. 92i:17043 


Items with secondary classifications in 17C27 
Loos, Ottmar Diagonalization in Jordan pairs. 92m:17050 


17C30 Associated groups, automorphisms 


Semenov, A. P. Subrings of invariants of the finite group of automorphisms of a Jordan ring. 
(Russian) 92h:17032 


Items with secondary classifications in 17C30 
Blunck, Andrea Cross-ratios in Moufang planes. 92j:51004 


17C36 Associated manifolds 


Yokota, Ichiro Orbit types of the compact Lie group E¢ in the complex exceptional Jordan 
algebra 3°. 92k:17050 


17C40 Exceptional Jordan structures 


Items with secondary classifications in 17C40 


Rost, Markus A (mod 3) invariant for exceptional Jordan algebras. (French summary) 
92j:19002 


17C50 Jordan structures associated with other structures 
[see also 16W10] 


D’Amour, Alain Jordan triple homomorphisms of associative structures. 92c:17046 


Items with secondary classifications in 17C50 


Giinaydin, Murat (with Hyun, Seungjoon) Ternary algebraic construction of extended 
superconformal algebras. 92f:17023 

Hyun, Seungjoon see Ginaydin, Murat, 92f:17023 

McCrimmon, Kevin Martindale systems of symmetric quotients. 92b:16039 


17C60 Division algebras 


Items with secondary classifications in 17C60 
D’Amour, Alain Jordan triple homomorphisms of associative structures. 92¢:17046 





317 1992 


17C65 Jordan structures on Banach spaces and algebras 
[see also 46H70, 46L70] 


Items with secondary classifications in 17C65 


Battaglia, M. Order theoretic type decomposition of JBW*-triples. 924:46171 

Benslimane, Mohamed (with Fernandez Lépez, Antonio'; Garcia Rus, Eulalia; Kaidi, El 
Amin Mokhtar) Noncommutative Jordan normed algebras containing minimal inner 
ideals and without nilpotent elements. 92j:46089 

— (with Rodriguez-Palacios, Angel) Caractérisation spectrale des algebres de Jordan Banach 
non commutatives complexes modulaires annihilatrices. [Spectral characterization of 
annihilating modular complex noncommutative Jordan Banach algebras] 92i:46059 

Castellén Serrano, Alberto (with Cuenca Mira, José Antonio) Quadratic characterization of 
the Jordan H*-algebras. (Spanish. English summary) (see 92b:00044) 

— (with Cuenca Mira, José Antonio) Compatibility in Jordan H*-triple systems. (Italian 
summary) 924:46173 

Cuenca Mira, José Antonio see Castellén Serrano, Alberto, 92d:46173 and (92b:00044) 

Dang, Trien Bang Real isometries between JB*-triples. 92g:46084 

Fernandez Lépez, Antonio! see Benslimane, Mohamed; et al., 92j:46089 

Garcia Rus, Eulalia see Benslimane, Mohamed; et al., 92j:46089 

Kaidi, El] Amin Mokhtar see Benslimane, Mohamed; et al., 92j:46089 

Loos, Ottmar On the socle of a Jordan pair. 92a:17050 

Nomura, Takaaki Algebraically independent generators of invariant differential operators 
on a bounded symmetric domain. 92¢:32040 

Pérez Gonzalez, J. (with Rico Romero, L.; Rodriguez-Palacios, Angel; Villena Muiioz, 
Armando R.) Prime Jordan-Banach algebras with nonzero socle. 92j:46090 

Rico Romero, L. see Pérez Gonzalez, J.; et al., 92j:46090 

Rodriguez-Palacios, Angel see Benslimane, Mohamed, 92i:46059 and Pérez Gonzalez, J.; et 
al., 92j:46090 

Semrl, Peter On Jordan +-derivations and an application. 92b:46087 

Villena Muiioz, Armando R. see Pérez Gonzalez, J.; et al., 92j:46090 

Wiodarczyk, Kazimierz Hyperbolic geometry in bounded symmetric homogeneous domains 

of J*-algebras. 92j:32120 


17C70 Super structures 


Giinaydin, Murat On an exceptional nonassociative superspace. 92a:17051 

Kantor, I. L. Connection between Poisson brackets and Jordan and Lie superalgebras. 
92:17040 

King, Daniel (with McCrimmon, Kevin) The Kantor construction of Jordan superalgebras. 
92j:17032 

McCrimmon, Kevin see King, Daniel, 92j:17032 


Items with secondary classifications in 17C70 


D’Amonr, Alain Jordan triple homomorphisms of associative structures. 92c:17046 
Ze manov, E.1. Superalgebras and identities. 92f:17001 


17C90 Applications to physics 


Items with secondary classifications in 17C90 

Chentsov, N. N. see Morozova, E. A., 92j:51034 

Giinaydin, Murat N = 2 superconformal algebras and Jordan triple systems. 92h:17031 

Girsey, Feza Discrete Jordan algebras and superstring symmetries. 92j:81245 

Mohammedi, Noureddine Remarks on realizing classical and quantum W; symmetry. 
92g:81069 

Morozova, E. A. (with Chentsov, N. N.) Projective Euclidean geometry and noncommuta- 
tive probability theory. (Russian) 92j:51034 

Treder, Hans-Jiirgen Quantum gravity and Jordan’s nonassociative algebras. 92j:83061 


17C99 None of the above, but in this section 


Items with secondary classifications in 17C99 

BreSar, Matej Jordan mappings of semiprime rings. II. 92j:16024 

Dib, Hacen Fonctions de Bessel sur une algébre de Jordan. [Bessel functions on a Jordan 
algebra] 92e:33017 

Svinolupov, S. I. Jordan algebras and generalized Korteweg-de Vries equations. (Russian. 
English summary) 92k:58129 


17Dxx Other nonassociative rings and algebras 


Items with secondary classifications in 17Dxx 

Aringazin, A. K. (with Lopez, D. F.; Jannussis, A.; Nishioka, Michio; Veljanoski, B.) Need 
for mathematical studies on Santilli’s Lie-isotopic relativities. 

Jannussis, A. see Aringazin, A. K.; et al. 

Lopez, D. F. see Aringazin, A. K.; et al. 

Nishioka, Michio see Aringazin, A. K.; et al. 

Veljanoski, B. see Aringazin, A. K.; et al. 


17D05 Alternative rings 


Blunck, Andrea Cross-ratios over local alternative rings. 92b:17056 

Koulibaly, Akry (with Micali, Artibano) Sur la a-nilpotence. [a-nilpotency] 92g:17049 

Lajos, S. A remark on (2, 2)-commutative strongly semiprime alternative rings. 92b:17057 

Laliena Clemente, Jestis A. Dualities of alternative algebras. (Spanish) (see 92g:00024) 

— Some results on von Neumann alternative regular rings. (Spanish. English summary) (see 
92b:00044) 

Micali, Artibano Algébres non associatives et équations différentielles. [Nonassociative 
algebras and differential equations] 92f:17041 


17D Other nonassociative rings and algebras 


17D92 


— see also Koulibaly, Akry, 92g:17049 

Ouattara, Moussa Autour de la dupliquée. [On duplications of algebras] 92k:17051 

Paul, Yash Prime right alternative rings with commutators in the middle nucleus. 
92m:17051 


Items with secondary classifications in 17D05 

Beidar, K.1I. (with Wiegandt, R.) Splitting theorems for nonassociative rings. 92a:17003 

Essannouni, Hassane (with Kaidi, El Amin Mokhtar) Inversion dans les algebres flexibles 
normées completes. [Inversion in complete normed flexible algebras] 924:46130 

Hentzel, Irvin Roy (with Jacobs, David Pokrass) Proofs for nonidentities using characteris- 
tic functions. 92m:17003 

Jacobs, David Pokrass see Hentzel, Irvin Roy, 92m:17003 

Kaidi, El Amin Mokhtar see Essannouni, Hassane, 92d:46130 

Loginov, E. K. Alternative algebra methods in the special theory of relativity. (Russian. 
English summary) 92:51005 

Villena Muiioz, Armando R. Continuity of derivations on a complete normed alternative 
algebra. 924:46131 

Wiegandt, R. see Beidar, K. I., 92a:17003 


17D10 Mal'cev (Mal'tsev) rings and algebras 


de Capua, Luiz Antonio (with Koulibaly, Akry; Micali, Artibano) Autour des algébres de 
Mal’cev. (English summary) [On Mal'tsev algebras] 92e:17046 

Elduque, Alberto On Malcev modules. 92e:17047 

Koulibaly, Akry (with Traore, Kalifa) Sur la cohomologie des algébres de Mal’cev. (English 
summary) [On the cohomology of Mal’tsev algebras] 92e:17048 

— (with Traore, Kalifa) On the cohomology of Mal'tsev algebras [Algebras Groups Geom. 7 
(1990), no. 4, 345-365; MR 92e:17048]. (French. English summary) (see 92i:17001) 

— see also de Capua, Luiz Antonio; et al., 92e:17046 

Micali, Artibano see de Capua, Luiz Antonio; et al., 92e:17046 

Traore, Kalifa see Koulibaly, Akry, 92e:17048 and (92i:17001) 


Items with secondary classifications in 17D10 

Filippov, V. T. Envelopes of anticommutative triple systems and of 3-Lie algebras. (Russian) 
92k:17003 

Koulibaly, Akry (with Micali, Artibano) Sur la a-nilpotence. [a-nilpotency] 92g:17049 

Micali, Artibano see Koulibaly, Akry, 92g:17049 

Nagy, Péter T. Extension of local loop isomorphisms. 92k:20134 

Osipov, E. P. The central extensions of Kac-Moody-Mal'cev algebras. 92b:17040 

Shestakov, I. P. Simple Mal’tsev superalgebras. (Russian) 92k:17007 

Zalar, Borut Continuity of derivations on Mal’cev H*-algebras. 92j:46099 


17D15 Right alternative rings 


Kleinfeld, Erwin (with Smith, Harry F.) On simple rings with commutators in the left 
nucleus. 92m:17052 

Pchelintsev, S. V. Binarily (—1, 1) nil algebras. (Russian) 92a:17052 

Smith, Harry F. see Kleinfeld, Erwin, 92m:17052 

Umirbaev, U. U. The word problem for metabelian right-alternative algebras. (Russian) 
92b:17058 


17D20 (y,6)-rings, including (1, —1)-rings 
Ng, Seong Nam (1, 1) algebra with maximum condition. 92a:17053 


17D25 Lie-admissible algebras 


Elduque, Alberto (with Montaner, Fernando) On mutations of associative algebras. 
92e:17049 
Montaner, Fernando see Elduque, Alberto, 92e:17049 


17D92 Genetic algebras 


Burgueiio, César (with Neuburg, Michael; Suazo, Avelino) Totally orthogonal Bernstein 
algebras. 92f:17042 

Campos, Tania M. M. (with Machado, Silvia D. A.; Holgate, Philip) Sex dependent genetic 
recombination rates for several loci. 92e:17050 

Cortés, Teresa Classification of 4-dimensional Bernstein algebras. 92m:17053 

Costa, Roberto C. F. On train algebras of rank 3. 92a:17054 

Hentzel, Irvin Roy (with Peresi, Luiz Antonio) Bernstein algebras given by symmetric 
bilinear forms. 92¢e:17051 

Holgate, Philip see Campos, Tania M. M.; et al., 92e:17050 

Krapivin, A. A. A condition for the genetic behavior of finitely generated Bernstein algebras. 
(Russian) 92k:17052 

Li, Xi? Some equivalent definitions of regular algebras. (Chinese. English summary) 
92m:17054 

Machado, Silvia D. A. see Campos, Tania M. M.; et al., 92e:17050 

Micali, Artibano (with Ouattara, Moussa) Dupliquée d’une algébre et le théoréme 
d’Etherington. [Duplication of an algebra and Etherington’s theorem] 92h:17033 

Neuburg, Michael see Burgueiio, César; et al., 92f:17042 

Ouattara, Moussa Sur les algébres de Bernstein d’ordre 2. (English summary) [On second- 
order Bernstein algebras] 92d:17031 

— Sur les algebres de Bernstein qui sont des T-algébres. (English summary) [Bernstein 
algebras that are T-algebras] 92d:17032 

— see also Micali, Artibano, 92h:17033 

Peresi, Luiz Antonio Nilpotency in Bernstein algebras. 92b:17059 

— see also Hentzel, Irvin Roy, 92e:17051 

Singh, D. K. see Singh, M. K., 92a:17055 

Singh, M. K. (with Singh, D. K.) On the representation of certain class of populations by 
genetic algebra. 92a:17055 





17D92 


Suazo, Avelino see Burgueiio, César; et al., 92f:17042 

Walcher, Sebastian Algebras which satisfy a train equation for the first three plenary 
powers. 92k:17053 

— On Bernstein algebras which are train algebras. 92m:17055 

Items with secondary classifications in 17D92 

Ouattara, Moussa Autour de la dupliquée. [On duplications of algebras] 92k:17051 


17D99 None of the above, but in this section 
Filippov, V.T. Envelopes of triple systems and algebras. (Russian) 92g:17050 


Items with secondary classifications in 17D99 


Khodzhevanishvili, E.S. Hypo-automorphisms of smooth loops. (Russian) 92g:22007 
Sabinin, L. V. Smooth hypo-reductive loops. (Russian) 92g:22008 


18-XX Category theory, homological algebra 


18-01 Instructional exposition (textbooks, tutorial papers, etc.) 

Barr, Michael (with Wells, Charles F.) * Category theory for computing science. 
92g:18001 

Wells, Charles F. see Barr, Michael, 92g:18001 


Items with secondary classifications in 18-01 


Nel, Louis Daniel’ * Introduction to categorical methods. Part 1, 2. 92j:46132a 
— * Introduction to categorical methods. Part 3. 92j:46132b 


18-02 Research exposition (monographs, survey articles) 


Items with secondary classifications in 18-02 

Fritsch, Rudolf (with Piccinini, Renzo A.) * Cellular structures in topology. 924:55001 

(Gamkrelidze, R. V.) see Current problems in mathematics. Fundamental directions, 
92a:18003a 

Piccinini, Renzo A. see Fritsch, Rudolf, 92d:55001 


Items listed otherwise than by author 

Bibliography: 
Applications of category theory to fuzzy subsets Bibliography. (see sees) 

Current problems in mathematics. Fundamental directions * Cosp 1e 
MaTeMaTHKH. PyHiaMeHTaJbHble HallpaBsieHHusa. Tom 38. (Russian) [Current problems in 
mathematics. Fundamental directions. Vol. 38] 92a:18003a 

Itogi Nauki i Tekhniki * Cospemenusie npo6membi MaTeMaTHKH. DyHaMeHTasbHbie 
Halipapyienua. Tom 38. (Russian) [Current problems in mathematics. Fundamental 
directions. Vol. 38] 92a:18003a 





18-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 18-03 
Drucker, Thomas History and grammar. 92j:03058 


Voitsekhovich, V.E. The formation and development of a mathematical theory. (Russian) 
92m:00015 


18-06 Proceedings, conferences, collections, etc. 


(Herrlich, Horst) see Category theory at work, 92i:18001 
(Porst, Hans-E.) see Category theory at work, 92i:18001 


Items listed otherwise than by author 
Bangor * International Category Theory Meeting. 92d:18001 
Bremen * Category theory at work. 92i:18001 
Cambridge * International Category Theory Meeting. 92d:18001 
Category iheory at work * Category theory at work. 92i:18001 
Meeting: 
Category Theory * International Category Theory Meeting. 92d:18001 
Workshop: 
Category Theory at Work * Category theory at work. 92i:18001 


Items with secondary classifications in 18-06 


(Abramsky, Samson) see Category theory and computer science, 92g:68005 

(Curien, Pierre-Louis) see Category theory and computer science, 92g:68005 

(Hohle, Ulrich) see Applications of category theory to fuzzy subsets, 92k:04006 

(Klement, Erich Peter) see Applications of category theory to fuzzy subsets, 92k:04006 

(Pitt, D.H.) see Category theory and computer science, 92g:68005 

(Pitts, Andrew M.) see Category theory and computer science, 92g:68005 

(Poigné, Axel) see Category theory and computer science, 92g:68005 

(Rodabaugh, Stephen Ernest) see Applications of category theory to fuzzy subsets, 92k:04006 
(Rydeheard, David E.) see Category theory and computer science, 92g:68005 


Items listed otherwise than by author 


Applications of category theory to fuzzy subsets * Applications of category theory to fuzzy 
subsets. 92k:04006 


NONASSOCIATIVE RINGS AND ALGEBRAS 1992 


Category theory and computer science * Category theory and computer science. 92g:68005 
Conference: 

Category Theory and Computer Science * Category theory and computer science. 

92g:68005 

Lecture Notes in Computer Science * Category theory and computer science. 92g:68005 
Linz * Applications of category theory to fuzzy subsets. 92k:04006 
Paris * Category theory and computer science. 92g:68005 
Seminar: 

Fuzzy Set Theory * Applications of category theory to fuzzy subsets. 92k:04006 


18Axx General theory of categories and functors 


18A05 Definitions, generalizations 


Items with secondary classifications in 18A05 

Herrlich, Horst (with HuSek, M.) Galois connections categorically. 92f:06008 

HuSek, M. see Herrlich, Horst, 92f:06008 

Kawai, Satoru see Onodera, Tamiya, 92c:68194 

Niwa, Masahiko Theory of G-categories toward equivariant algebraic K-theory. 92i:18006 

Onodera, Tamiya (with Kawai, Satoru) * A formal model of visualization in computer 
graphics systems. 92¢:68194 


18A10 Graphs, diagram schemes, precategories, neocategories 
[see also 20Lxx] 


Items with secondary classifications in 18A10 

Blute, Richard Proof nets and coherence theorems. (see 92g:68005) 

Burroni, Albert Higher-dimensional word problem. (see 92g:68005) 

Corradini, Andrea (with Montanari, Ugo) An algebra of graphs and graph rewriting. (see 
92g:68005) 

Hoofman, Raymond (with Schellinx, Harold) Collapsing graph models by preorders. (see 
92g:68005) 

Montanari, Ugo see Cerradini, Andrea, (92g:68005) 

Schellinx, Harold see Hoofman, Raymond, (92g:68005) 


18A15 Foundations, relations to logic and deductive systems 
[see also 03-XX] 


Items with secondary classifications in 18A15 
Barr, Michael Accessible categories and models of linear logic. 92a:03043 
Heller, Alex An existence theorem for recursion categories. 92¢:03067 


Winskel, Glynn A compositional proof system on a category of labelled transition systems. 
92e:68053 


18A20 Epimorphisms, monomorphisms, special classes of 
morphisms, null morphisms, factorization (bicategories) 
Cagliari, Francesca (with Mantovani, Sandra) Exponentiable embeddings in totally 


reflective subcategories of Top. (French summary) 92i:18002 
Mantovani, Sandra see Cagliari, Francesca, 92i:18002 


Items with secondary classifications in 18A20 

Ball, Richard N. (with Hager, Anthony W.; Kizanis, Ann) Epimorphic adjunction of a weak 
order unit to an Archimedean lattice-ordered group. 92m:06031 

Cagliari, Francesca (with Mantovani, Sandra) Local homeomorphisms as the exponentiable 
morphisms in compact Hausdorff spaces. 92j:54014 

Fay, Temple H. (with Walls, Gary L.) Categorically compact locally nilpotent groups. 
92d:22001 

— (with Walls, Gary L.) A corrigendum: “Categorically compact locally nilpotent groups” 
(Comm. Algebra 18 (1990), no. 10, 3423-3435; MR 92d:22001]. 

Hager, Anthony W. see Ball, Richard N.; et al., 92m:06031 

Kizanis, Ann see Ball, Richard N.; et al., 92m:06031 

Kutzner, Dieter Initial morphisms in universal algebra. 92f:08002 

Mantovani, Sandra see Cagliari, Francesca, 92j:54014 

Sobral, Maria Manuela Reflective subcategories. (Portuguese) (see 92g:00024) 

Walls, Gary L. see Fay, Temple H., 92d:22001 


18A22 Special properties of functors (faithful, full, etc.) 


Herrlich, Horst (with Mossakowski, T.; Strecker, G. E.) Algebraic U topology. 92m:18001 
Léger, Christian Opérations sur les cartes et métamorphoses de la catégorie des G- 


ensembles. (English summary) [Operations on maps and metamorphoses of the category 
of G-sets] 92k:18001 


Mossakowski, T. see Herrlich, Horst; et al., 92m:18001 
Strecker, G. E. see Herrlich, Horst; et al., 92m:18001 
Items with secondary classifications in 18A22 


Leseberg, Dieter Zur Theorie limesformer Raume. II. [On the theory of limit form spaces. 
II] 92k:54001 


18A23 Natural morphisms, dinatural morphisms 


Items with secondary classifications in 18A23 
Solov'ev, S. V. On the conditions of full coherence in closed categories. 92d:18005 





319 1992 


18A25 Functor categories, comma categories 


Calvo, Adina (with Calvo, Bernard) Congruences dans les catégories. (English summary) 
[Congruences on categories] 92g:18002 

Calvo, Bernard see Calvo, Adina, 92g:18002 

Hug, S. A. Semilimits in categories. 92g:18003 


18A30 Limits and colimits (products, sums, directed limits, 
pushouts, fiber products, equalizers, kernels, ends and 
coends, etc.) 


Nikiel, Jacek A general theorem on inverse systems and their limits. (Russian summary) 
92m:18002 


Items with secondary classifications in 18A30 

Cagliari, Francesca (with Mantovani, Sandra) Exponentiable embeddings in totally 
reflective subcategories of Top. (French summary) 92i:18002 

Castellini, G. (with Strecker, G. E.) Global closure operators vs. subcategories. 92h:18001 

Cordier, J.-M. (with Porter, Timothy) Fibrant diagrams, rectifications and a construction 
of Loday. 92a:55017 

Jay, C. Barry Tail recursion from universal invariants. (see 92g:68005) 

Mantovani, Sandra see Cagliari, Francesca, 92i:18002 

Porter, Timothy see Cordier, J.-M., 92a:55017 

Strecker, G. E. see Castellini, G., 92h:18001 


18A32 Factorization of morphisms (via images, coimages, 
dominions, codominions), substructures, quotient 
structures, congruences, amalgams 

Carboni, Aurelio (with Lambek, Joachim; Pedicchio, Maria Cristina) Diagram chasing in 

Mal'cev categories. 92e:18001 

Castellini, G. (with Strecker, G. E.) Global closure operators vs. subcategories. 92h:18001 

Lambek, Joachim see Carboni, Aurelio; et al., 92e:18001 

Pedicchio, Maria Cristina see Carboni, Aurelio; et al., 92e:18001 

Strecker, G. E. see Castellini, G., 92h:18001 

Velebilovaé, Magdalena Small congruences and concreteness. 92h:18002 


18A35 Categories admitting limits (complete categories), functors 
commuting with limits, continuous functors, completions 


Bargenda, Hubertus W. (£, M)-functors and M-universal initial completions. (French 
summary) 92b:1800i 

Rosebrugh, Robert (with Wood, R. J.) Pullback preserving functors. 92g:18004 

Wood, R. J. see Rosebrugh, Robert, 92g:18004 


Items with secondary classifications in 18A35 
Ageron, Pierre Errata: “Locally (multi)presentable categories as Scott domains” [Dia- 
grammes 21 (1989), Al-A5; MR 90k:18008]. (French) 


Vajner, V. Concrete categories for which fibre completions induce topological completions. 
92g:18007 


18A40 Adjoint functors (representable functors, universal 
constructions, reflective subcategories, reflections, etc.), 
constructions of adjoints (Kan extensions, etc.) 


Korostenski, Mareli (with Tholen, Walter) Prelocalizations and natural numbers. 
92¢:18001 

Porst, Hans-E. (with Tholen, Walter) Concrete dualities. 92m:18003 

— On the existence and structure of free topological groups. 92m:18004 

Sobral, Maria Manuela Reflective subcategories. (Portuguese) (see 92g:00024) 

— Monads and cocompleteness of categories. (French summary) 92m:18005 

Tholen, Walter see Korostenski, Mareli, 92c:18001 and Porst, Hans-E., 92m:18003 


Items with secondary classifications in 18A40 

Ball, Richard N. (with Hager, Anthony W.) Applications of spaces with filters to 
Archimedean /-groups with weak unit. 92j:06022 

Borger, R. Fubini’s theorem from a categorical viewpoint. 92m:28027 

Colojoara, Alexandra Banach algebras category and Banach Lie algebras category as 
categories with multiplication. 92j:46131 

Erné, Marcel Distributors and Wallmanufacture. 92b:06031 

— The Dedekind-MacNeille completion as a reflector. 92j:06005 

Hager, Anthony W. see Ball, Richard N., 92j:06022 

Herrlich, Horst (with HuSek, M.) Galois connections categorically. 92f:06008 

Hug, S. A. Semilimits in categories. 92g:18003 

HuSek, M. see Herrlich, Horst, 92f:06008 

Kashu, A. I. Fundamental functors of the categories of modules, and lattices of submodules. 
III. (Russian) 92a:16008 

MacDonald, John L. (with Stone, Arthur L.) Uniformly constructive monads. 92b:68039 

Madden, James J. (with Vermeer, J.) Epicomplete Archimedean /-groups via a localic 
Yosida theorem. 92:06016 

Stone, Arthur L. see MacDonald, John L., 92b:68039 

Vermeer, J. see Madden, James J., 92f:06016 


18A99 None of the above, but in this section 


Droste, Manfred (with Gébel, Riidiger) A categorial theorem on universal objects and its 
applications in abelian group theory and computer science. (see 92a:03004) 
Gdbel, Riidiger see Droste, Manfred, (92a:03004) 


CATEGORY THEORY, HOMOLOGICAL ALGEBRA 


18B25 


Isbell, John Some inequalities in hom sets. 92k:18002 

Mika, Andrzej On projective and injective objects in the category of abstract objects. 

Items with secondary classifications in 18A99 

Deligne, P. Catégories tannakiennes. [Tannakian categories] 92d:14002 

Edalat, Abbas (with Smyth, Michael B.) Categories of information systems (extended 
abstract). (see 92g:68005) 

Germano, G. M. (with Mazzanti, Stefano) Closure functions and general iterates as 
reflectors. 92j:68071 

Goguen, Joseph A. A categorical manifesto. 92a:68086 

Mazzanti, Stefano see Germano, G. M., 92j:68071 

Mironov, A. M. Universal decomposable systems. (Russian) 92j:93007 

Niwa, Masahiko Theory of G-categories. (Japanese. English summary) 92d:18006 

Smyth, Michael B. see Edalat, Abbas, (92g:68005) 


18Bxx Special categories 


18B05 Category of sets, characterizations [see also 03-XX] 

Joyal, André (with Moerdijk, Ieke) A categorical theory of cumulative hierarchies of sets. 
92c:18002 

Moerdijk, Ieke see Joyal, André, 92c:18002 


Items with secondary classifications in 18B05 

Bergeron, Francois (with Yeh, Yeong Nan) The factoriality of the ring of S-species. 
92b:05080 

Velebilovd, Magdalena Small congruences and concreteness. 92h:18002 

Yeh, Yeong Nan see Bergeron, Francois, 92b:05080 


18B10 Category of relations, additive relations 


Imrich, Wilfried (with Pultr, Ale’) Classification of tensor products of symmetric graphs. 
92m:18006 
Pultr, Ale’ see Imrich, Wilfried, 92m:18006 


Items with secondary classifications in 18B10 

Carboni, Aurelio (with Kelly, G. M.; Wood, R. J.) A 2-categorical approach to change of 
base and geometric morphisms. I. (French summary) 92j:18003 

Kelly, G. M. see Carboni, Aurelio; et al., 92j:18003 

Mala, J. An equation for families of relations. 92g:08001 

Wood, R. J. see Carboni, Aurelio; et al., 92j:18003 


18B15 Embedding theorems, universal categories 
[see also 18E20] 


Makai, Endre, Jr. The full embeddings of the categories of uniform spaces, proximity 
spaces and related categories into themselves and each other. I. 92g:18005 

Sichler, J. (with Trnkova, Véra) Functor slices and simultaneous representations. 
92i:18003 

Trnkova, Véra see Sichler, J., 92i:18003 


Items with secondary classifications in 18B15 
Adamek, Jiti On quasitopos hulls of topological categories. 92g:54010 


Weck-Schwarz, Sibylle Cartesian closed topological and monotopological hulls: a compari- 
son. 92c:18010 


18B20 Categories of machines, automata, operative categories 
[see also 03D05, 68Qxx] 


Items with secondary classifications in 18B20 

Burstall, Rod M. see Tarlecki, Andrzej; et al., 92m:68074 

Goguen, Joseph A. see Tarlecki, Andrzej; et al., 92m:68074 

Hilken, Barney P. (with Rydeheard, David E.) Towards a categorical semantics of type 
classes. (see 92g:68008) 

Kasangian, S. (with Rosebrugh, Robert) Glueing enriched modules and composition of 
automata. (French summary) 92e:68133 

Moggi, Eugenio A category-theoretic account of program modules. 92h:68057 

Rosebrugh, Robert see Kasangian, S., 92e:68133 

Rydeheard, David E. see Hilken, Barney P., (92g:68008) 

Stark, Eugene W. Dataflow networks are fibrations. (see 92g:68005) 

Tarlecki, Andrzej (with Burstall, Rod M.; Goguen, Joseph A.) Some fundamental algebraic 
tools for the semantics of computation. III. Indexed categories. 92m:68074 


18B25 Topoi [see also 03G30] 


Borceux, Francis (with Pedicchio, Maria Cristina; Rossi, Fabio) Boolean algebras in a 
localic topos. 92b:18002 

— (with Korostenski, Mareli) Open localizations. 92k:18003 

Kock, Anders (with Moerdijk, Ieke) Presentations of étendues. (French summary) 
92m:18007 

Korostenski, Mareli see Borceux, Francis, 92k:18003 

Lawvere, F. William More on graphic toposes. (French summary) 92m:18008 

Meng, Xiao Qing A brief introduction to topos theory. (Chinese. English summary) 

Moerdijk, Ieke The classifying topos of a continuous groupoid. II. (French summary) 
92c:18003 

— see also Kock, Anders, 92m:18007 

Niefield, S. B. (with Rosenthal, Kimmo I.) Sheaves of semiprime ideals. (French summary) 
92b:18003 





18B25 


Pedicchio, Maria Cristina see Borceux, Francis; et al., 92b:18002 

Rosenthal, Kimmo I. see Niefield, S. B., 92b:18003 

Rossi, Fabio see Borceux, Francis; et al., 92b:18002 

Ulbrich, K.-H. On cocycle bitorsors and gerbes over a Grothendieck topos. 92g:18006 
Veit, A. Barbara Convergence in some ringed toposes. (French summary) 92b:18004 
Vermeulen, J. J.C. A note on iterative arguments in a topos. 92h:18003 

Wyler, Oswald * Lecture notes on topoi and quasitopoi. 92c:18004 


Items with secondary classifications in 18B25 

Adamek, Jiti On quasitopos hulls of topological categories. 92g:54010 

Betti, Renato An elementary characterization of presheaves categories. 92c:18014 

Coquand, Thierry A direct proof of the intuitionistic Ramsey theorem. (see 92g:68005) 

Coulon, Jean-Louis see Coulon, Josette, 92¢:03085a and 92e:03085b 

Coulon, Josette (with Coulon, Jean-Louis) Injectivity in the quasi-topos of separated 
presheaves on a complete Heyting aigebra. 92e:03085b 

— (with Coulon, Jean-Louis) About some categories of Q-valued sets. 92e:03085a 

Drucker, Thomas History and grammar. 92j:03058 

Espanol, L. (with Minguez, M. C.) Logical open sets of convenient spaces in the Cahiers 
topos. (Spanish) (see 92g:00024) 

Gago Couso, Felipe Compactness and Kock’s principle. (Galician. English summary) (see 
92g:00024) 

Gavioli, Norberto 7 -matrices over a topos. 92e:18004 

Guts, A. K. A topos-theoretic approach to the foundations of relativity theory. (Russian) 
92m:83083 

Joyal, André (with Moerdijk, Ieke) A categorical theory of cumulative hierarchies of sets. 
92c:18002 

Klunder, Barbara Topos based semantics for constructive logic with strong negation. 
92b:03009 

McLarty, Colin The uses and abuses of the history of topos theory. 92b:01044 

Mesablishvili, B. N. Fundamental theorem for finite Galois extensions of an internal 
commutative connected ring in an elementary topos, and the functor 7. (Russian. English 
and Georgian summaries) 92j:18006 

Minguez, M. C. see Espaiiol, L., (92g:00024) 

Moerdijk, Ieke see Joyal, André, 92c:18002 

Mulvey, Christopher J. (with Pelletier, Joan Wick) A geometric characterization concerning 
compact, convex sets. 92a:46095 

Ogus, Arthur The convergent topos in characteristic p. 92b:14011 

Pelletier, Joan Wick Locales in functional analysis. 92b:46121 

— see also Mulvey, Christopher J., 92a:46095 

Phoa, Wesley Two results on set-theoretic polymorphism. (see 92g:68005) 

Rosebrugh, Robert (with Wood, R. J.) Gamuts and cofibrations. (French summary) 
92c:18607 

Wood, R. J. see Rosebrugh, Robert, 92c:18007 


18B30 Categories of topological spaces and continuous mappings 


[see also 54-XX] 


Bargenda, Hubertus W. (with Vajner, V.) A fibre-functor characterization of topological 
categories with pullback-stability. 92j:18001 

Isbell, John On dissolute spaces. 92d:18002 

Lamban Pardo, Laureano A. The category of sequential spaces. (Spanish) (see 92g:00024) 

Radul, T. N. The monad of inclusion hyperspaces and its algebras. (Russian. Ukrainian 
summary) 92b:18005 

Richter, Giinther Characterizations of algebraic and varietal categories of topological 
spaces. 92k:18004 

Schwanzl, R. (with Vogt, R.M.) The categories of A,.- and E,.-monoids and ring spaces as 
closed simplicial and topological model categories. 92b:18006 

Vajner, V. see Bargenda, Hubertus W., 92j:18001 

Vogt, R. M. see Schwanzl, R., 92b:18006 

Zarichnyi, M. M. Profinite multiplicativity of functors and a characterization of projective 
monads in the category of compacta. (Russian. Ukrainian summary) 92¢:18005 

— On covariant topological functors. II. 92i:18004 


Items with secondary classifications in 18B30 

Baboolal, D. Fan-Gottesman type compactification of frames. 92b:54048 

Banaschewski, B. Compactification of frames. 92j:54034 

Cagliari, Francesca (with Mantovani, Sandra) Exponentiable embeddings in totally 
reflective subcategories of Top. (French summary) 92i:18002 

— (with Mantovani, Sandra) Local homeomorphisms as the exponentiable morphisms in 
compact Hausdorff spaces. 92j:54014 

Chen, Xiang Dong On the category of strong frames. 92h:06008 

Cinéura, Juraj Closed structures on reflective subcategories of the category of topological 
spaces. 92b:18008 

— Cartesian closed coreflective subcategories of the category of topological spaces. 
92m:18013 

Erné, Marcel Residuated completions of generalized semitopological semigroups. 
92a:06005 

Fedorchuk, V. V. On some geometric properties of functors. 92g:54041 

Frit, Roman (with Kent, Darrell C.) The finite product theorem for certain epireflections. 
92d:54029 

Frith, J. L. The category of uniform frames. (French summary) 92d:54032 

Guts, A. K. A topos-theoretic approach to the foundations of relativity theory. (Russian) 
92m:83083 

Kent, Darrell C. see Frit, Roman, 924:54029 

Lemin, A. Yu. The Smirnov compactification functor is one-to-one over the class of 
complete first countable spaces. 92b:54057 

Leseberg, Dieter Convergence structures. 92g:54001 


Lowen-Colebunders, Eva (with Szabé, Z.G.) Simplicity of categories defined by symmetry 
axioms. 92h:54004 


Madden, James J. Frames associated with an abelian /-group. 92g:06028 


CATEGORY THEORY, HOMOLOGICAL ALGEBRA 


Mantovani, Sandra see Cagliari, Francesca, 92i:18002 and 92j:54014 

Megrelishvili, M.G. Compactification and factorization in the category of G-spaces. 
92¢:54031 

Mirzakhanyan, R. E. A triple of infinite iterations of a functor of an inclusion hyperspace— 
a fiberwise version. (Russian) 924:54012 

Ogorodnikova, I. E. Infinite iterations of perfectly metrizable monads. (Russian) 92b:54017 

Paseka, Jan Paracompact locales and metric spaces. 92¢e:54020 

Preuss, Gerhard Improvement of Cauchy spaces. 92i:54015 

Richter, Giinther Axiomatizing the category of compact Hausdorff spaces. 92m:54024 

Szab6, Z.G. see Lowen-Colebunders, Eva, 92h:54004 

Weck-Schwarz, Sibylle 7y-objects and separated objects in topological categories. 
92g:54011 


18B35 Preorders, orders and lattices (viewed as categories) 
[see also 06-XX] 


Rubanov, I. A projective category for arbitrary commutative diagrams. (Russian. English 
and Latvian summaries) 92m:18009 


Items with secondary classifications in 18B35 


Amadio, Roberto M. Bifinite domains: stable case. (see 92g:68005) 

Isbell, John First steps in descriptive theory of locales. 92b:54078 

Nambooripad, K.S.S. * Structure of regular semigroups. II. Cross-connections. 92¢:20115 
Rosenthal, Kimmo I. * Quantales and their applications. 92¢:06028 

— Free quantaloids. 92f:18002 


18B40 Groupoids, semigroupoids, semigroups, groups (viewed as 
categories) [see also 20Axx, 20Lxx, 20Mxx] 


Doncel Juarez, José Luis g-nilpotency in crossed modules. (Spanish. English summary) (see 
92m:00048) 


Items with secondary classifications in 18B40 

Chistyakova, I. V. Periodicity and finite generation of the functor Hom in the category of 
commutative regular semigroups. (Russian) 92a:20077 

Duchamp, Gérard (with Krob, Daniel) Partially commutative formal power series. 
92e:68047 

Korkes, F. J. (with Porter, Timothy) Nilpotent crossed modules and pro-C completions. 
(French summary) 92d:18009 

Krob, Daniel see Duchamp, Gérard, 92¢:68047 

Porter, Timothy see Korkes, F. J., 92d:18009 

Stomiriska, Jolanta Homotopy colimits on E-I-categories. 92g:55023 

Weiss, Wolfgang Sophus Lie’s fundamental theorem—categorical aspects. 92k:22011 


18B99 None of the above, but in this section 


Borceux, Francis (with Pedicchio, Maria Cristina) A characterization of quasi-toposes. 
92¢e:18002 

Dougherty, Randall L. Functors on the category of finite sets. 92f:18001 

Edalat, Abbas (with Smyth, Michael B.) Categories of information systems (extended 
abstract). (see 92g:68005) 

Harrison, D. K. (with Vitulli, M. A.) A categorical approach to the theory of equations. 
92c:18006 

Hur, Kul On H-fuzzy relations on sets. 92j:18002 

Kobayashi, Yuji Complete rewriting systems and homology of monoid algebras. 92d:18003 

McCammond, J. Gaps in categories. (see 92h:20004) 

Pedicchio, Maria Cristina see Borceux, Francis, 92e:18002 

Smarda, Bohumil Completely normal locales. 92k:18005 

Smyth, Michael B. see Edalat, Abbas, (92g:68005) 

Vitulli, M. A. see Harrison, D. K., 92c:18006 


Items with secondary classifications in 18B99 


Albrecht, Ulrich Extension functors on the category of A-solvable abelian groups. 92i:20058 

Ball, Richard N. (with Hager, Anthony W.) Applications of spaces with filters to 
Archimedean /-groups with weak unit. 92j:06022 

Bernstein, Joseph Trace in categories. 92d:17010 

Botha, S.G. (with Buys, A.) Nilpotency, solvability and radicals in categories. 92b:16001 

Buys, A. see Botha, S. G., 92b:16001 

Degano, Pierpaolo (with Kasangian, S.; Vigna, S.) Applications of the calculus of trees to 
process description languages. (see 92g:68005) 

Ehrhard, Thomas (with Malacaria, Pasquale) Stone duality for stable functions. (see 
92:68005) 

Gottlieb, Alex D. (with Lipman, Joseph) Group-theoretic axioms for projective geometry. 
92g:51002 

Guo, Shan Liang A note on Fuller categories. 92k:16009 

Hager, Anthony W. see Ball, Richard N., 92j:06022 

Herrlich, Horst (with Mossakowski, T.; Strecker, G. E.) Algebraic U topology. 92m:18001 

Jarzembski, Grzegorz Programs in partial algebras—a categorical approach. (see 92g:68005) 

Jay, C. Barry Tail recursion from universal invariants. (see 92g:68005) 

Kapranov, M. M. see Voevodskii, V. A., 92h:05031 

Kasangian, S. see Degano, Pierpaolo; et al., (92g:68005) 

Khatcherian, G. Projectales. 92m:06022 

Koubek, Vaclav (with Sichler, J.) Categorical universality of regular double p-algebras. 
92c:08017 

Lawson, M. V. Semigroups and ordered categories. I. The reduced case. 92h:20103 

Lipman, Joseph see Gottlieb, Alex D., 92g:51002 

MacCaull, W. A. A categorical approach to fuzzy relational database theory. (see 
92k:04006) 

Madden, James J. (with Vermeer, J.) Epicomplete Archimedean /-groups via a localic 
Yosida theorem. 92:06016 





321 1992 


Malacaria, Pasquale see Ehrhard, Thomas, (92g:68005) 

Margolis, Stuart W. (with Meakin, J.C.) Graph immersions and inverse monoids. (see 
92h:20004) 

Mazzola, G. Mathematische Musiktheorie: status quo 1990. [Mathematical music theory: 
Status quo 1990] 92j:00024 

McLarty, Colin Stable surjection logic. (French summary) 92a:03079 

Meakin, J.C. see Margolis, Stuart W., (92h:20004) 

Melzi, Giovanni (with Mercanti, Fabio) An algebraic-combinatory theory of real nervous 
system. (Italian summary) (see 91h:00025) 

Mercanti, Fabio see Melzi, Giovanni, (91h:00025) 

Mika, Andrzej On projective and injective objects in the category of abstract objects. 

Mossakowski, T. see Herrlich, Horst; et al., 92m:18001 

Neretin, Yu. A. Extension of representations of classical groups to representations of 
categories. (Russian) 92j:22015 

Pavlovskii, Yu. N. The decomposition problem in mathematical modeling. (Russian. English 
summary) 

Pelletier, Joan Wick An extension of the Aronszajn-Gagliardo theorem. 92b:46123 

Pin, Jean-Eric Topologies for the free monoid. 92k:20107 

Reiterman, J. (with Trnkova, Véra) Free structures. 92m:08014 

Schwab, Emil (with Schwab, Emil Daniel) * Eléments multiplicatifs d’une algebre 
incidente. (French) [Multiplicative elements of an incidence algebra] 

Schwab, Emil Daniel see Schwab, Emil 

Sichler, J. see Koubek, Vaclav, 92c:08017 

Simson, Daniel Peak reductions and waist reflection functors. 92f:16009 

Strecker, G. E. see Herrlich, Horst; et al., 92m:18001 

Taylor, Paul An algebraic approach to stable domains. 92c:18009 

Trnkova, Véra see Reiterman, J., 92m:08014 

Vermeer, J. see Madden, James J., 92f:06016 

Vigna, S. see Degano, Pierpaolo; et al., (92g:68005) 

Voevodskii, V. A. (with Kapranov, M. M.) The free n-category generated by a cube, 
oriented matroids and higher Bruhat orders. (Russian) 92h:05031 

Xu, Xiao Quan Products and coproducts in category of completely distributive lattices and 
their structures. 92g:06015 

Zou, Yi-Ming A note on some structure theorems of modules in category @. 92d:17026 


18Cxx Categories and algebraic theories 


18C05 Equational categories [see also 03C05, 08C05] 


Items with secondary classifications in 18C05 

Carboni, Aurelio (with Lambek, Joachim; Pedicchio, Maria Cristina) Diagram chasing in 
Mal’cev categories. 92¢:18001 

Herrlich, Horst Remarks on categories of algebras defined by a proper class of operations. 
92a:08010 

Joyal, André (with Moerdijk, Ieke) A categorical theory of cumulative hierarchies of sets. 
92c¢:18002 

Lambek, Joachim see Carboni, Aurelio; et al., 92e:18001 

Moerdijk, Ieke see Joyal, André, 92c:18002 

Pedicchio, Maria Cristina see Carboni, Aurelio; et al., 92e:18001 

Richter, Giinther Characterizations of algebraic and varietal categories of topological 
spaces. 92k:18004 


18C10 Theories (e.g. algebraic theories), structure, and semantics 
[see also 03G30] 


Jay, C. Barry Languages for triples, bicategories and braided monoidal categories. (French 
summary) 92e:18003 

Mathieu, Monique Extensions de théories de Lawvere. [Extensions of Lawvere theories] 
92k:18006 

Pérez Vega, Gilberto On the commutativity of algebraic theories. (Spanish. English 
summary) (see 92b:00044) 

Veit, A. Barbara Sheaves, localizations, and unstable extensions: some counterexamples. 
92i:18005 


Items with secondary classifications in 18C10 

Borceux, Francis (with Pedicchio, Maria Cristina) A characterization of quasi-toposes. 
92e:18002 

Cazanescu, Virgil Emil Iterative systems of equations. 92e:68111 

Hilken, Barney P. (with Rydeheard, David E.) Towards a categorical semantics of type 
classes. (see 92g:68008) 

Jacobs, Bart (with Moggi, Eugenio; Streicher, Thomas) Relating models of impredicative 
type theories. (see 92g:68005) 

Moggi, Eugenio see Jacobs, Bart; et al., (92g:68005) 

Pedicchio, Maria Cristina see Borceux, Francis, 92e:18002 

Rydeheard, David E. see Hilken, Barney P., (92g:68008) 

Streicher, Thomas see Jacobs, Bart; et al., (92g:68005) 


18C15 Triples (= standard construction, monad or triad), 
algebras for a triple, homology and derived functors for 
triples [see also 18Gxx] 
Berthiaume, Pierre Sur les monades de degrés supérieurs. [Higher-degree monads] 
92:18001 
Items with secondary classifications in 18C15 


Carboni, Aurelio (with Rosebrugh, Robert) Lax monads. Indexed monoidal monads. 
92m:18010 


18D Categories with structure 


18D10 


Fedorchuk, V. V. On some geometric properties of functors. 92g:54041 

Pérez Vega, Gilberto On the commutativity of algebraic theories. (Spanish. English 
summary) (see 92b:00044) 

Rosebrugh, Robert see Carboni, Aurelio, 92m:18010 

Stark, Eugene W. Dataflow networks are fibrations. (see 92g:68005) 

Stell, John G. Unique-sort order-sorted theories: a description as monad morphisms. (see 
92g:68076) 

Taylor, Paul An algebraic approach to stable domains. 92c:18009 


18C20 Algebras and Kleisli categories associated with monads 


Items with secondary classifications in 18C20 

Moggi, Eugenio Notions of computation and monads. 92j:03011 

Pérez Vega, Gilberto On the commutativity of algebraic theories. (Spanish. English 
summary) (see 92b:00044) 

Sobral, Maria Manuela Monads and cocompieteness of categories. (French summary) 
92m:18005 

Zarichnyi, M. M. Profinite multiplicativity of functors and a characterization of projective 
monads in the category of compacta. (Russian. Ukrainian summary) 92¢:18005 


18C99 None of the above, but in this section 


Items with secondary classifications in 18C99 

Bargenda, Hubertus W. (E, M)-functors and M-universal initial completions. (French 
summary) 92b:18001 

Dzhibladze, M. A. (with Pirashvili, T. I.) Cohomology of algebraic theories. 92f:18005 

Herrlich, Horst (with Mossakowski, T.; Strecker, G. E.) Algebraic U topology. 92m:18001 

Jarzembski, Grzegorz Programs in partial algebras—a categorical approach. (see 92g:68005) 

Mossakowski, T. see Herrlich, Horst; et al., 92m:18001 

Pirashvili, T. 1. see Dzhibladze, M. A., 92f:18005 

Strecker, G. E. see Herrlich, Horst; et al., 92m:18001 


18Dxx Categories with structure 


18D05 Double categories, 2-categories, bicategories, 
hypercategories 


Carboni, Aurelio (with Kelly, G. M.; Wood, R. J.) A 2-categorical approach to change of 
base and geometric morphisms. I. (French summary) 92j:18003 

— (with Rosebrugh, Robert) Lax monads. Indexed monoidal monads. 92m:18010 

Gavioli, Norberto 2 -matrices over a topos. 92¢:18004 

Kapranov, M. M. (with Voevodskii, V. A.) Combinatorial-geometric aspects of polycate- 
gory theory: pasting schemes and higher Bruhat orders (list of results). (French summary) 
92j:18004 

Kelly, G. M. see Carboni, Aurelio; et al., 92j:18003 

Power, John (with Robinson, Edmund) A characterization of pie limits. 92d:18004 

Robinson, Edmund see Power, John, 92d:18004 

Rosebrugh, Robert (with Wood, R. J.) Gamuts and cofibrations. (French summary) 
92c:18007 

— see also Carboni, Aurelio, 92m:18010 

Voevodskii, V. A. see Kapranov, M. M., 92j:18004 

Wood, R. J. see Rosebrugh, Robert, 92c:18007 and Carboni, Aurelio; et al., 92j:18003 


Items with secondary classifications in 18D05 

Berthiaume, Pierre Sur les monades de degrés supérieurs. [Higher-degree monads] 
92a:18001 

Betti, Renato An elementary characterization of presheaves categories. 92c:18014 

Burroni, Albert Higher-dimensional word problem. (see 92g:68005) 

Grandis, Marco Cohesive categories and manifolds. (Italian summary) 92m:18016 

Hardie, K. A. (with Kamps, K. H.; Porter, Timothy) The coherent homotopy category over 
a fixed space is a category of fractions. 92i:55015 

Kamps, K. H. see Hardie, K. A.; et al., 92i:55015 

Keller, Bernhard Derived categories and universal problems. 92b:18010 

Mohapeloa, K.T.S. A 2-colimit characterization of internal categories of torsors. 
92e:18005 

Porter, Timothy see Hardie, K. A.; et al., 92i:55015 

Rosebrugh, Robert (with Wood, R. J.) Pullback preserving functors. 92g:18004 

Wood, R. J. see Rosebrugh, Robert, 92g:18004 


18D10 Monoidal categories (= multiplicative categories) 
[see also 19D23] 


Carboni, Aurelio Matrices, relations, and group representations. 92b:18007 
Jardine, J. F. Supercoherence. 92m:18011 

Rhodes, John (with Tilson, Bret) The kernel of monoid morphisms. 92j:18005 
Tilson, Bret see Rhodes, John, 92j:18005 


Items with secondary classifications in 18D10 

Brustein, Ram (with Ne’eman, Yuval; Sternberg, Shlomo) Duality, crossing and Mac Lane’s 
coherence. 92¢:81153 

Imrich, Wilfried (with Pultr, Ale3) Classification of tensor products of symmetric graphs. 
92m:18006 

Jay, C. Barry Languages for triples, bicategories and braided monoidal categories. (French 
summary) 92e:18003 

Joyal, André (with Street, Ross) Tortile Yang-Baxter operators in tensor categories. 
92e:18006 

Lewis, L. Gaunce, Jr. Is there a convenient category of spectra? 92f:55008 





18D10 


Majid, Shahn Quasi-quantum groups as internal symmetries of topological quantum field 
theories. 92i:81130 

Ne’eman, Yuval see Brustein, Ram; et al., 92c:81153 

Pultr, Ale’ see Imrich, Wilfried, 92m:18006 

Sternberg, Shlomo see Brustein, Ram; et al., 92c:81153 

Street, Ross see Joyal, André, 92e:18006 

Ulbrich, K.-H. On Hopf algebras and rigid monoidal categories. 92e:16031 


18D15 Closed categories (closed monoidal and Cartesian closed 
categories, etc.) 


Ageron, Pierre Errata: “Locally (multi)presentable categories as Scott domains” [Dia- 
grammes 21 (1989), Al-A5; MR 90k: 18008]. (French) 

Alonso Alvarez, José N. (with Fernandez Vilaboa, José M.) Galois H-objects over a triple in 
a closed category. (Spanish. English summary) (see 92m:00048) 

Barr, Michael *-autonomous categories and linear logic. 92m:18012 

Cherenack, Paul Convenient affine algebraic varieties. (French summary) 92k:18007 

Cintura, Juraj Closed structures on reflective subcategories of the category of topological 
spaces. 92b:18008 

— Cartesian closed coreflective subcategories of the category of topological spaces. 
92m:18013 

Fernandez Vilaboa, José M. (with Lopez Lopez, M. P.) Injectivity and Cleft triples. 
(Spanish) (see 92g:00024) 

— see also Alonso Alvarez, José N., (92m:00048) 

Lépez Lépez, M. P. see Fernandez Vilaboa, José M., (92g:00024) 

Solovev, S. V. Conditions for complete coherence in closed categories. (Russian) 92c:18008 

— On the conditions of full coherence in closed categories. 92d:18005 

Taylor, Paul An algebraic approach to stable domains. 92c:18009 

Weck-Schwarz, Sibylle Cartesian closed topological and monotopological hulls: a compari- 
son. 92c:18010 


Items with secondary classifications in 18D15 


Amadio, Roberto M. Bifinite domains: stable case. (see 92g:68005) 

Blute, Richard Proof nets and coherence theorems. (see 92g:68005) 

Cagliari, Francesca (with Mantovani, Sandra) Local homeomorphisms as the exponentiable 
morphisms in compact Hausdorff spaces. 92j:54014 

Ehrhard, Thomas (with Malacaria, Pasquale) Stone duality for stable functions. (see 
92g:68005) 

Grandis, Marco Cohesive categories and manifolds. (Italian summary) 92m:18016 

Hoofman, Raymond (with Schellinx, Harold) Collapsing graph models by preorders. (see 
92g:68005) 

Malacaria, Pasquale see Ehrhard, Thomas, (92g:68005) 

Mantovani, Sandra see Cagliari, Francesca, 92j:54014 

Schellinx, Harold see Hoofman, Raymond, (92g:68005) 


18D20 Enriched categories (over closed or monoidal categories) 


Gordon, Robert A characterization of G-categories G-equivalent to the G-category of graded 
modules over a generalized G-graded algebra. 92m:18014 
Rosenthal, Kimmo I. Free quantaloids. 92f:18002 


Items with secondary classifications in 18D20 

Betti, Renato An elementary characterization of presheaves categories. 92c:18014 

Carboni, Aurelio (with Rosebrugh, Robert) Lax monads. Indexed monoidal monads. 
92m:18010 

Cordier, J.-M. (with Porter, Timothy) Fibrant diagrams, rectifications and a construction 
of Loday. 92a:55017 

Grandis, Marco Cohesive categories and manifolds. (Italian summary) 92m:18016 

Porter, Timothy see Cordier, J.-M., 92a:55017 

Rosebrugh, Robert see Carboni, Aurelio, 92m:18010 


18D30 Fibered categories 


Niwa, Masahiko Theory of G-categories. (Japanese. English summary) 92d:18006 
Vajner, V. Concrete categories for which fibre completions induce topological completions. 
92g:18007 


Items with secondary classifications in 18D30 

Jacobs, Bart (with Moggi, Eugenio; Streicher, Thomas) Relating models of impredicative 
type theories. (see 92g:68005) 

Joyal, André (with Tierney, Myles) Strong stacks and classifying spaces. 92c:18013 

Leseberg, Dieter Zur Theorie limesformer Raume. II. [On the theory of limit form spaces. 
Il] 92k:54001 

Moggi, Eugenio see Jacobs, Bart; et al., (92g:68005) 

Streicher, Thomas see Jacobs, Bart; et al., (92g:68005) 

Tierney, Myles see Joyal, André, 92c:18013 


18D35 Structured objects in a category (group objects, etc.) 


Mesablishvili, B. N. Galois objects in the category of internal commutative algebras in 
an elementary topos and their flatness. (Russian. English and Georgian summaries) 
92c:18011 


Items with secondary classifications in 18D35 


Bergman, George M. Co-rectangular bands and cosheaves in categories of algebras. 
92k:08004 

Botha, S.G. (with Buys, A.) Nilpotency, solvability and radicals in categories. 92b:16001 

Buys, A. see Botha, S. G., 92b:16001 


CATEGORY THEORY, HOMOLOGICAL ALGEBRA 


18D99 None of the above, but in this section 
Niwa, Masahiko Theory of G-categories toward equivariant algebraic K-theory. 92i:18006 


Items with secondary classifications in 18D99 

Degano, Pierpaolo (with Kasangian, S.; Vigna, S.) Applications of the calculus of trees to 
process description languages. (see 92g:68005) 

Kasangian, S. see Degano, Pierpaolo; et al., (92g:68005) 

Lawvere, F. William More on graphic toposes. (French summary) 92m:18008 

Preuss, Gerhard Improvement of Cauchy spaces. 92i:54015 

Stadkowski, J. Generalized ¥-theory. 92m:18017 

Vigna, S. see Degano, Pierpaolo; et al., (92g:68005) 


18Exx Abelian categories 


18E05 Preadditive, additive categories 


Items with secondary classifications in 18E05 


Padrén, Edith (with Rodriguez-Machin, Sergio) Model-additive categories. 92g:55024 
Rodriguez-Machin, Sergio see Padrén, Edith, 92g:55024 


18E10 Exact categories, abelian categories 


Doncel Juarez, José Luis On a Cartan-Eilenberg theorem. (Spanish. English summary) (see 
92m:00048) 

Mohapeloa, K.T.S. A 2-colimit characterization of internal categories of torsors. 
92e:18005 


Items with secondary classifications in 18E10 

Carboni, Aurelio (with Lambek, Joachim; Pedicchio, Maria Cristina) Diagram chasing in 
Mal'cev categories. 92e:18001 

Datuashvili, T. 1. Homological dimension of extensions of abelian categories and rings. 
92a:16012 

Lambek, Joachim see Carboni, Aurelio; et al., 92e:18001 

Pedicchio, Maria Cristina see Carboni, Aurelio; et al., 92e:18001 


18E15 Grothendieck categories 


Colpi, Riccardo (with Gregorio, Enrico; Orsatti, Adalberto) The basic ring of a locally 
Artinian commutative Grothendieck category. 92g:18008 

Gregorio, Enrico see Colpi, Riccardo; et al., 92g:18008 

Ng, Ho Kuen see Xu, Jin Zhong 

Orsatti, Adalberto see Colpi, Riccardo; et al., 92g:18008 

Xu, Jin Zhong (with Ng, Ho Kuen) Decomposition of quasi-injective objects over a 
Grothendieck category. 


Items with secondary classifications in 18E15 
Verschoren, A. * Compatibility and stability. 92c:18012 


18E30 Derived categories, triangulated categories 


Badra, Abdallah Sous-catégories pleines d’une catégorie dérivée filtrée. [Full subcategories 
of a filtered derived category] 92k:18008 

Illusie, Luc Catégories dérivées et dualité: travaux de J.-L. Verdier. [Derived categories and 
duality: the work of J.-L. Verdier] 92b:18009 

Keller, Bernhard Derived categories and universal problems. 92b:18010 

KGnig, Steffen Tilting complexes, perpendicular categories and recollements of derived 
module categories of rings. 92k:18009 

Landsburg, Steven E. K-theory and patching for categories of complexes. 92k:18010 

Neeman, Amnon Some new axioms for triangulated categories. 92b:18011 

(Verdier, J.-L.) see Illusie, Luc, 92b:18009 


Items with secondary classifications in 18E30 

Ancona, Vincenzo (with Ottaviani, Giorgio) An introduction to the derived categories and 
the theorem of Beilinson. 92g:14013 

Keller, Bernhard Algébres héréditaires par morceaux de type D,,. (English summary) 
[Piecewise hereditary algebras of type D,,] 92c:16014 

Linckelmann, Markus Derived equivalence for cyclic blocks over a P-adic ring. 92g:20007 

McCammond, J. Gaps in categories. (see 92h:20004) 

Ottaviani, Giorgio see Ancona, Vincenzo, 92g:14013 

Rickard, Jeremy Lifting theorems for tilting complexes. 92j:16007 

— Derived equivalences as derived functors. 92b:16043 

Wiedemann, Alfred On stratifications of derived module categories. 92d:16012 


18E35 Localization of categories 
Hoshino, Mitsuo Localization in abelian categories and double dual functors. 92k:18011 


Items with secondary classifications in 18E35 


Korostenski, Mareli (with Tholen, Walter) Prelocalizations and natural numbers. 
92c:18001 
Tholen, Walter see Korostenski, Mareli, 92c:18001 


18E40 Torsion theories, radicals [see also 13D30, 16S90] 


Ikeyama, Tamotsu Left exact torsion theories. 92a:18002 
Verschoren, A. * Compatibility and stability. 92c:18012 





323 1992 


18E99 None of the above, but in this section 


Items with secondary classifications in 18E99 
Kirby, David Towards a theory of R-modules modulo a Serre category. 92k:13009 


18Fxx Categories and geometry 


18F05 Local categories and functors 


Items with secondary classifications in 18F05 
Doupovec, Miroslav Natural transformations between T? T*M and T* T27M . 92m:58005 


18F10 Grothendieck topologies [see also 14F20] 


Borceux, Francis see Pedicchio, Maria Cristina, 92d:18007 

Joyal, André (with Tierney, Myles) Strong stacks and classifying spaces. 92c:18013 

Pedicchio, Maria Cristina (with Borceux, Francis) A remark on categories of separated 
objects. 92d:18007 

Tierney, Myles see Joyal, André, 92c:18013 

Zangurashvili, D. Some categorical algebraic properties of quasivarieties of algebras in the 
Grothendieck topos. (Georgian. English and Russian summaries) 92g:18009 


Items with secondary classifications in i8F10 
Moerdijk, Ieke Classifying toposes and foliations. (French summary) 92i:57028 


Voevodskii, V. A. Etale topologies of schemes over fields of finite type over Q. (Russian) 
92j:14023 


18F15 Abstract manifolds and fiber bundles [see also 55Rxx, 
57Pxx] 


Cabras, Antonella (with Kola, Ivan; Modugno, Marco) General structured bundles. 
92m:18015 

Ceterchi, Rodica A localization theorem for topological categories. 92d:18008 

Grandis, Marco Cohesive categories and manifolds. (Italian summary) 92m:18016 

Koldf, Ivan see Cabras, Antonella; et al., 92m:18015 

Modugno, Marco see Cabras, Antonella; et al., 92m:18015 

Stadkowski, J. Generalized ¥-theory. 92m:18017 


Items with secondary classifications in 18F15 

Félix, Yves (with Lavendhomme, R.) On de Rham’s theorem in synthetic differential 
geometry. 92a:58003 

Lavendhomme, R. see Félix, Yves, 92a:58003 


18F20 Presheaves and sheaves [see also 14F05, 32C35, 32L10, 
54B40, 55N30] 


Betti, Renato An elementary characterization of presheaves categories. 92c:18014 
Rumbos, I. Beatriz The Lambek sheaf reexamined. 92m:18018a 
— The Lambek sheaf revisited. Corrigenda: “The Lambek sheaf reexamined”. 92m:18018b 


Items with secondary classifications in 18F20 

Bergman, George M. Actions of Boolean rings on sets. 92g:06021 

Coulon, Jean-Louis see Coulon, Josette, 92e:03085b 

Coulon, Josette (with Coulon, Jean-Louis) Injectivity in the quasi-topos of separated 
presheaves on a complete Heyting algebra. 92e:03085b 

Devi, Leela (with Ramabhadran, N.) Cohesively related pairs of extensions of sheaves of 
Lie algebras. 92g:17026 

Ginzburg, V. A. Sheaves on a loop group, and Langlands duality. (Russian) 92e:22035 

(Houzel, Christian) see Kashiwara, Masaki, 92a:58132 

Kashiwara, Masaki (with Schapira, Pierre) * Sheaves on manifolds. 92a:58132 

Ramabhadran, N. see Devi, Leela, 92g:17026 

Schapira, Pierre see Kashiwara, Masaki, 92a:58132 

Wisbauer, Robert Modules and structure presheaves for arbitrary rings. 92g:17001 


18F25 Algebraic K-theory and L-theory [see also 11Exx, 11R70, 
11870, 12-XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 
57R65, 57R67] 


Items with secondary classifications in 18F25 


Milgram, R. James Surgery with finite fundamental group. I. The obstructions. 92j:57021a 
— Surgery with finite fundamental group. II. The oozing conjecture. 92j:57021b 

Mitchell, Stephen A. Harmonic localization of algebraic K-theory spectra. 92j:55005 
Pataraia, P. On Quillen’s + construction of perfect groups. 92e:55020 

Srinivas, V. * Algebraic K-theory. 92j:19001 

Uridiya, M. B. U-theory of exact categories. 92e:19001 


18F99 None of the above, but in this section 


Chen, Qi Xu Using the category point of view to classify geometries. (Chinese. English 
summary) 


18G Homological algebra 


18G25 


18Gxx Homological algebra [see also 13Dxx, 16Exx, 
55Uxx] 


(Gamkrelidze, R. V.) see Current problems in mathematics. Fundamental directions, 
92a:18003a 

Gelfand, S. 1. (with Manin, Yu. I.) Homological algebra. (Russian) 92a:18003b 

Manin, Yu. I. see Gelfand, S. I., 92a:18003b 

Shao, Song Chun Some theorems on homological algebra. (Chinese. English summary) 


Items listed otherwise than by author 

Current problems in mathematics. Fundamental directions * Cospemenubie npo6.1embiI 
MaTeMaTHKH. OyHaMeHTabHble HalpaBsieHua. Tom 38. (Russian) [Current problems in 
mathematics. Fundamental directions. Vol. 38] 92a:18003a 

itogi Nauki i Tekhniki * Cosp ie mpo6, 1 MaTeMaTHKH. DyHaMeHTasIbHbie 
HanpaBseHua. Tom 38. (Russian) [Current problems in mathematics. Fundamental 
directions. Vol. 38] 92a:18003a 





Items with secondary classifications in 18Gxx 


Bakhturin, Yu. A. * OcHosHbie cTpyKTypbi CoppemeHHon anre6psi. (Russian) [Basic 
structures of modern algebra] 92b:00001 


18G05 _Projectives and injectives [see also 13C10, 13C11, 16D40, 
16D50] 


Items with secondary classifications in 18G05 


Sobral, Maria Manuela Monads and cocompleteness of categories. (French summary) 
92m:18005 


18G10 Resolutions; derived functors [see also 18E25] 
Ellis, Graham J. A nonabelian tensor product of Lie algebras. 92g:18010 


Items with secondary classifications in 18G10 

Bondal, A.I. Helices, representations of quivers and Koszul algebras. 92i:14016 

Ellis, Graham J. On the higher universal quadratic functors and related computations. 
92g:20081 

Grillet, P.-A. Commutative semigroup cohomology. 92g:20113 

Igusa, Kiyoshi Notes on the no loops conjecture. 92b:16013 

Khelemskii, A. Ya. Homology in Banach and polynormed algebras: some results and 
problems. 92:46090 

Lambe, Larry A. Resolutions via homological perturbation. 92k:68050 

Lomonaco, Luciano A phenomenon of reciprocity in the universal Steenrod algebra. 
92:55027 

Pisonero Pérez, Miriam Behavior of finite free resolutions under passage to residue fields. 
(Spanish. English summary) (see 92b:00044) 


18G15_ Ext and Tor, generalizations, Kiinneth formula 
[see also 55U25] 


Items with secondary classifications in 18G15 

Baues, Hans Joachim Metastable homotopy and homology. 92j:55012 

Buchsbaum, David A. Aspects of characteristic-free representation theory of GL,,, and some 
applications to intertwining numbers. 92c:20078 

Diab, Viastimil (with Ringel, Claus Michael) The Hochschild cocycle corresponding to a 
long exact sequence. 92d:16018 

Doncel Juarez, José Luis On a Cartan-Eilenberg theorem. (Spanish. English summary) (see 
92m:00048) 

Dyer, M. N. (with Leahy, J. V.; Mooney, L. J.) On the cup product for groups. 92k:20099 

Ellis, Graham J. On the higher universal quadratic functors and related computations. 
92g:20081 

Lago, Ana (with Rodicio, Antonio G.) Generalized Koszul complexes and Hochschild (co- 
)homology of complete intersections. 92m:13018 

Leahy, J. V. see Dyer, M. N.; et al., 92k:20099 

Lomonaco, Luciano A phenomenon of reciprocity in the universal Steenrod algebra. 
92:55027 

Mooney, L. J. see Dyer, M. N.; et al., 92k:20099 

Murillo, Aniceto Rational fibrations in differential homological algebra. 92j:55019 

Perelygin, S. I. Cyclic (co)homology of pre-additive categories. (Russian. English summary) 
92d:19003 

Ringel, Claus Michael see Diab, Viastimil, 92d:16018 

Rodicio, Antonio G. see Lago, Ana, 92m:13018 

Tralle, A. E. Cyclic homology of some topological spaces. (Russian) 92j:55006 


18G20 Homological dimension [see also 13D05, 16E10] 

Aljadeff, Eli Serre’s extension theorem for crossed products. 92f:18003 

Items with secondary classifications in 18G20 

Green, Edward L. (with Zimmermann-Huisgen, Birge) Finitistic dimension of Artinian 
rings with vanishing radical cube. 92g:16016 


Haran, Dan Cohomology theory of Artin-Schreier structures. 92b:12007 
Zimmermann-Huisgen, Birge see Green, Edward L., 92g:16016 


18G25 Relative homological algebra, projective classes 


Pachuashvili, V. A. Cohomologies and extensions in monoidal categories. 92i:18007 


Items with secondary classifications in 18G25 
Farnsteiner, Rolf On the cohomology of ring extensions. 92c:16010 





18G25 


Noskov, G. A. Bounded cohomology of discrete groups with coefficients. (Russian) 
92b:57005 

Wisbauer, Robert On modules with the Kulikov property and pure semisimple modules and 
rings. 92g:16011 


18G30 Simplicial sets, simplicial objects (in a category) 
[see also 55U10] 


Items with secondary classifications in 18G30 

Dawson, Robert J. MacG. Homology of weighted simplicial complexes. (French summary) 
92£:55028 

Goerss, Paul G. On the André-Quillen cohomology of commutative F2-algebras. 92b:18012 

Huber, Annette Adéle fiir Schemata und Zariski-Kohomologie. [Adéles for schemes and 
Zariski cohomology] 92h:14014 

Lapin, S. V. Normalization of reflexive and dihedral modules. (Russian) 92d:18010 

Nehaniv, Chrystopher Lev Algebraic connectivity. 92m:08001 

Nenashev, A. Simplicial definition of A-operations in higher K-theory. 92h:19001 

Schwanzl, R. (with Vogt, R.M.) The categories of A,.- and E,,-monoids and ring spaces as 
closed simplicial and topological model categories. 92b:18006 

Smirnov, V. A.2, Homology of symmetric products. (Russian) 92c:55022 

Vogt, R. M. see Schwinzl, R., 92b:18006 


18G35 Chain complexes [see also 18E30, 55U15] 


Items with secondary classifications in 18G35 

Badra, Abdallah Sous-catégories pleines d’une catégorie dérivée filtrée. [Full subcategories 
of a filtered derived category] 92k:18008 

Getzler, Ezra (with Jones, John D. S.; Petrack, Scott) Differential forms on loop spaces and 
the cyclic bar complex. 92i:58179 

Jones, John D.S. see Getzler, Ezra; et al., 92i:58179 

Patras, F. Construction géométrique des idempotents eulériens. Filtration des groupes de 
polytopes et des groupes d’homologie de Hochschild. (English summary) [Geometric 
construction of Euler idempotents. Filtration of the groups of polytopes and of the 
Hochschild cohomology groups] 92i:19005 

Petrack, Scott see Getzler, Ezra; et al., 92i:58179 

Rubio Garcia, Julio Jestis Free chain complexes and minimal complexes. (Spanish. English 
summary) (see 92b:00044) 

— (with Sergeraert, Francis) Supports acycliques et algorithmique. (English summary) 
[Acyclic supports and computing] 92k:55001 

Sergeraert, Francis see Rubio Garcia, Julio Jestis, 92k:55001 

Sharko, V. V. The stable algebra of Morse theory. (Russian) 92a:57037 

Smirnov, V. A.2, Homology of symmetric products. (Russian) 92c:55022 

Vigué-Poirrier, Micheline Décompositions de l"homologie cyclique des algébres 
différentielles graduées commutatives. (English summary) [Decomposition of the cyclic 
homology of commutative graded differential algebras] 92¢:19004 


18G40 Spectral sequences, hypercohomology [see also 55Txx] 


Items with secondary classifications in 18G40 

Doncel Juarez, José Luis On a Cartan-Eilenberg theorem. (Spanish. English summary) (see 
92m:00048) 

Majadas Soto, Javier (with Rodicio, Antonio G.) The Hochschild (co-)homology of 
hypersurfaces. 92m:13019 

Rodicio, Antonio G. see Majadas Soto, Javier, 92m:13019 

Vutié, A. (with Zivaljevic, R.) Dihedral hyperhomology of a chain algebra with involution. 
92i:19006 

Zivaljevié, R. see Vuti¢, A., 92i:19006 


18G50 Nonabelian homological algebra 


Breen, Lawrence Bitorseurs et cohomologie non abélienne. [Bitorsors and nonabelian 
cohomology] 92m:18019 

Bullejos, Manuel (with Cegarra, Antonio M.) A 3-dimensional nonabelian cohomology of 
groups with applications to homotopy classification of continuous maps. 92k:18012 

Cegarra, Antonio M. see Bullejos, Manuel, 92k:18012 

Hacque, Michel Cohomologies des anneaux-groupes. [Cohomology of ring-groups] 
92h:18004 

Pachuashvili, V.A. Some properties of cohomologies in monoidal categories. 92f:18004 


Items with secondary classifications in 18G50 


Barja Pérez, Javier (with Rodriguez-Fernandez, Celso) Homology sequences with 
coefficients in Z/gZ associated with two subgroups of a group. (Spanish) (see 92g:00024) 

Blanco Ferro, Antonio (with Ladra Gonzalez, Manuel; Ladra, Marcelino) Crossed H- 
module Hopf algebras. (Spanish) (see 92g:00024) 

Ellis, Graham J. A nonabelian tensor product of Lie algebras. 92g:18010 

Geller, Susan C. see Weibel, Charles A., 92e:19006 

Ladra, Marcelino see Blanco Ferro, Antonio; et al., (92g:00024) 

Ladra Gonzalez, Manuel see Blanco Ferro, Antonio; et al., (92g:00024) 

Pachuashvili, V. A. Cohomologies and extensions in monoidal categories. 92i:18007 

Rodriguez-Fernandez, Celso see Barja Pérez, Javier, (92g:00024) 

Weibel, Charles A. (with Geller, Susan C.) Etale descent for Hochschild and cyclic 
homology. 92¢:19006 

Zamboni, Luca Quardo A Chern character in cyclic homology. 92g:19006 


18G55 Nonabelian homotopical algebra 
Goerss, Paul G. On the André-Quillen cohomology of commutative F-algebras. 92b:18012 


CATEGORY THEORY, HOMOLOGICAL ALGEBRA 1992 324 


Korkes, F. J. (with Porter, Timothy) Nilpotent crossed modules and pro-C completions. 
(French summary) 92d:18009 
Porter, Timothy see Korkes, F. J., 92d:18009 


Items with secondary classifications in 18G55 

Breen, Lawrence Bitorseurs et cohomologie non abélienne. [Bitorsors and nonabelian 
cohomology] 92m:18019 

Hacque, Michel Cohomologies des anneaux-groupes. [Cohomology of ring-groups] 
92h:18004 

Hardie, K. A. (with Kamps, K. H.; Porter, Timothy) The coherent homotopy category over 
a fixed space is a category of fractions. 92i:55015 

Joshua, Roy Generalised Verdier duality for presheaves of spectra. I. 92i:55008 

Kamps, K. H. see Hardie, K. A.; et al., 92i:55015 

Porter, Timothy see Hardie, K. A.; et al., 92i:55015 

Schwanzl, R. (with Vogt, R. M.) The categories of A,.- and E,.-monoids and ring spaces as 
closed simplicial and topological model categories. 92b:18006 

Stomitiska, Jolanta Homotopy colimits on E-I-categories. 92g:55023 

Vogt, R. M. see Schwinzl, R., 92b:18006 


18G60 Other (co)homology theories (cyclic, dihedral, etc.) 
[see also 19D55, 46L80, 58B30, 58G12] 


Lapin, S. V. Normalization of reflexive and dihedral modules. (Russian) 92d:18010 


Items with secondary classifications in 18G60 

Coquereaux, R. (with Jadczyk, A.; Kastler, Daniel) Differential and integral geometry of 
Grassmann algebras. 92i:58016 

Jadczyk, A. see Coquereaux, R.; et al., 92i:58016 

Kastler, Daniel see Coquereaux, R.; et al., 92i1:58016 

Lodder, Gerald Cyclic homology and de Rham cohomology. 92m:19005 

Vigué-Poirrier, Micheline Homologie de Hochschild et homologie cyclique des algébres 
différentielles graduées. [Hochschild homology and cyclic homology in graded differential 
algebras] 92¢:19003 

— Cyclic homology of algebraic hypersurfaces. 92h:19004 


18G99 None of the above, but in this section 


Dzhibladze, M. A. (with Pirashvili, T. I.) Cohomology of algebraic theories. 92f:18005 

Hardie, K. A. (with Hilton, Peter J.) Homotopies of nullhomotopies in a module category. 
I. 92¢:18015 

Hilton, Peter J. see Hardie, K. A., 92c:18015 

Joyal, André (with Street, Ross) The geometry of tensor calculus. I. 92d:18011 

— (with Street, Ross) Tortile Yang-Baxter operators in tensor categories. 92¢:18006 

Mesablishvili, B. N. Fundamental theorem for finite Galois extensions of an internal 
commutative connected ring in an elementary topos, and the functor 7. (Russian. English 
and Georgian summaries) 92j:18006 

Pirashvili, T. 1. see Dzhibladze, M. A., 92:18005 

Street, Ross see Joyal, André, 92d:18011 and 92e:18006 


Items with secondary classifications in 18G99 


André, M. Homologie de Frobenius. [Frobenius homology] 92g:13016 

Campo Andién, M. see Rodriguez-Fernandez, Celso, (92m:00048) 

Franke, Jens Chow categories. 92j:14004 

Inasaridze, Kh. N. On the Steenrod homology theory of compact spaces. 92f:55003 

Khelemskii, A. Ya. * The homology of Banach and topological algebras. 92d:46178 

Latch, Dana May The connection between the fundamental groupoid and a unification 
algorithm for syntactil algebras (extended abstract). (French summary) 

Marvan, M. On the @-spectral sequence with “general” coefficients. 92e:58201 

Piacenza, Robert J. Homotopy theory of diagrams and CW-complexes over a category. 
92i:55018 

Quillen, D. Chern-Simons forms and cyclic cohomology. 924:19004 

Riedtmann, Christine (with Schofield, Aidan) On a simplicial complex associated with 
tilting modules. 92a:16019 

Rodriguez-Fernandez, Celso (with Campo Andioén, M.) The nonabelian tensor product. 
(Spanish. English summary) (see 92m:00048) 

Schofield, Aidan see Riedtmann, Christine, 92a:16019 

Stavrakas, G. A. Cohomology theory on noncommutative algebras of continuous functions. 
92h:46109 

Thévenaz, Jacques Defect theory for maximal ideals and simple functors. 92h:20025 

(West, Alan) see Khelemskii, A. Ya., 92d:46178 


19-XX K-theory [see also 16E20, 18F25] 


19-02 Research exposition (monographs, survey articles) 

Srinivas, V. * Algebraic K-theory. 92j:19001 

Items with secondary classifications in 19-02 

(Gamkrelidze, R. V.) see Current problems in mathematics. Fundamental directions, 
92a:18003a 

Items listed otherwise than by author 


Current problems in mathematics. Fundamental directions * Cosp 1e mpo6, I 
MaTeMaTHKH. PyHyaMeHTasbHble HalipaBseHusa. Tom 38. (Russian) [Current problems in 








325 1992 


mathematics. Fundamental names Vol. 38] 92a:18003a 

Itogi Nauki i Tekhniki * Cosp 6 MaTeMaTHKH. DyHaMeHTasIbHbie 
HanpaByieHua. Tom 38. (Russian) Preteen problems in mathematics. Fundamental 
directions. Vol. 38] 92a:18003a 





19-06 Proceedings, conferences, collections, etc. 

(Dennis, R. Keith) see Algebraic K-theory, commutative algebra, and algebraic geometry, 
92m:19001 

(Pedrini, Claudio) see Algebraic K-theory, commutative algebra, and algebraic geometry, 
92m:19001 

(Sosinskii, A. B.) see Algebraic K-theory, 92c:19001 

(Stein, Michael R.) see Algebraic K-theory, commutative algebra, and algebraic geometry, 
92m:19001 

(Suslin, A. A.) see Algebraic K-theory, 92c:19001 

Items listed otherwise than by author 

Algebraic K-theory * Algebraic K-theory. 92c:19001 

Algebraic K-theory, commutative algebra, and algebraic geometry * Algebraic K-theory, 
commutative algebra, and algebraic geometry. 92m:19001 

Contemporary Mathematics * Algebraic K-theory, commutative algebra, and algebraic 
geometry. 92m:19001 

Santa Margherita Ligure * Algebraic K-theory, commutative algebra, and algebraic 
geometry. 92m:19001 

Seminar: 
Algebraic K-Theory * Algebraic K-theory. 92c:19001 
Algebraic K-Theory, Commutative Algebra, and Algebraic Geometry * Algebraic K- 

theory, commutative algebra, and algebraic geometry. 92m:19001 


19Axx Grothendieck groups and Ko [see also 13D15, 
18F30] 


19A13 Stability for projective modules [see also 13C10] 


Canfell, M. J. A note on right equivalence of module presentations. 92i:19001 
Hinson, Edward K. Paths of unimodular vectors. 92i:19002 


Items with secondary classifications in 19A13 

Grunewald, Fritz (with Mennicke, Jens; Vaserstein, Leonid N.) On symplectic groups over 
polynomial rings. 92a:19001 

Mennicke, Jens see Grunewald, Fritz; et al., 92a:19001 

Vaserstein, Leonid N. see Grunewald, Fritz; et al., 92a:19001 


19A22 Frobenius induction, Burnside and representation rings 


Items with secondary classifications in 19A22 

Bouc, S. Projecteurs dans l’anneau de Burnside, projecteurs dans l’anneau de Green, et 
modules de Steinberg généralisés. [Projectors in the Burnside ring, projectors in the Green 
ring, and generalized Steinberg modules] 92k:20016 

Deo, Satya (with Varadarajan, K.) Isomorphic Burnside rings. 92d:20010 

Harrison, D. K. (with Vitulli, M. A.) A categorical approach to the theory of equations. 
92¢:18006 

Raggi-Cardenas, Alberto (with Vallejo, Ernesto) Abelian and Hamiltonian groups with 
isomorphic Burnside rings are isomorphic. 92m:20011 

Vallejo, Ernesto see Raggi-Cardenas, Alberto, 92m:20011 

Varadarajan, K. see Deo, Satya, 92d:20010 

Vitulli, M. A. see Harrison, D. K., 92c:18006 

Zhou, Xiaoming On the decomposition map of Grothendieck groups. 92b:20017 


19A31 Ko of group rings and orders 


Items with secondary classifications in 19A31 

Holland, David Homological equivalences of modules and their projective invariants. 
92i:11120 

Kropholler, P. H. (with Moselle, B.) A family of crystallographic groups with 2-torsion in 
Ko of the rational group algebra. 92f:20049 

Moselle, B. see Kropholler, P. H., 92f:20049 

Wilson, S. M. J. A projective invariant comparing rings of integers in wildly ramified 
extensions. 92a:11140 


19A49 Ko of other rings 


Li, Yuan Lin A remark on the reduced group Ko(R). (Chinese. English summary) 
92m:19002 
Items with secondary classifications in 19A49 


Bunce, L. J. (with Wright, J. D. Maitland) Introduction to the K-theory of Jordan C*- 
algebras. 92a:46082 

Kishimoto, Akitaka Actions of finite groups on certain inductive limit C*-algebras. 
92d:46166 

Wright, J. D. Maitland see Bunce, L. J., 92a:46082 


19A99 None of the above, but in this section 


Items with secondary classifications in 19A99 


Asanuma, Teruo Pic R[X, X~'] for R a one-dimensional reduced Noetherian ring. 
92g:19003 


K-THEORY 


19C20 


Lascoux, Alain Anneau de Grothendieck de la variété de drapeaux. [The Grothendieck ring 
of the flag manifold] 92j:14064 


19Bxx Whitehead groups and K, 


19B10 Stable range conditions 


Items with secondary classifications in 19B10 

Rupp, Rudolf Stable rank and the 3-equation. 92g:46066 

— Stable rank and boundary principle. 92i:46063 

Vaserstein, Leonid N. (with Wheland, E.) Commutators and companion matrices over rings 
of stable rank 1. 92a:19002 

Wheland, E. see Vaserstein, Leonid N., 92a:19002 


19B14 Stability for linear groups 


Bak, Anthony Nonabelian K-theory: the nilpotent class of K, and general stability. 
92g:19001 

Grunewald, Fritz (with Mennicke, Jens; Vaserstein, Leonid N.) On symplectic groups over 
polynomial rings. 92a:19001 

Mennicke, Jens see Grunewald, Fritz; et al., 92a:19001 

Vaserstein, Leonid N. see Grunewald, Fritz; et al., 92a:19001 


Items with secondary classifications in 19B14 

Menal, Pere (with Vaserstein, Leonid N.) On the structure of GL, over stable range one 
rings. 92a:20058 

Vaserstein, Leonid N. see Menal, Pere, 92a:20058 


19B28 XK, of group rings and orders [see also 57Q10] 


Ushitaki, Fumihiro SK,(Z[G)]) of finite solvable groups which act linearly and freely on 
spheres. 92d:19001 


Items with secondary classifications in 19B28 

Monastyrnyi, A. P. (with Yanchevskii, V. I.) Whitehead groups of algebraic groups of 
classical type, and R-equivalence. (Russian) 92g:20072 

Yanchevskii, V. I. Reduced norms of simple algebras over function fields. (Russian) 
92a:11143 

— see also Monastyrnyi, A. P., 92g:20072 


19B37 Congruence subgroup problems [see also 20H05] 


Items with secondary classifications in 19B37 


Menal, Pere (with Vaserstein, Leonid N.) On subgroups of GL2 over Banach algebras and 
von Neumann regular rings which are normalized by elementary matrices. 92h:16009 
Vaserstein, Leonid N. see Menal, Pere, 92h:16009 


19B99 None of the above, but in this section 


Hinson, Edward K. On Vaserstein’s power operation on elementary orbits. 92k:19001a 

— On Vaserstein’s power operation on elementary orbits. 92k:19001b 

Vaserstein, Leonid N. (with Wheland, E.) Commutators and companion matrices over rings 
of stable rank 1. 92a:19002 

Wheland, E. see Vaserstein, Leonid N., 92a:19002 


Items with secondary classifications in 19B99 

Anderson, Douglas R. The relationship between the boundedly controlled K, and White- 
head groups. 92i:19010 

Bratteli, Ola (with Elliott, George A.; Evans, David E.; Kishimoto, Akitaka) Noncommuta- 
tive spheres. I. 92d:58008 

Connolly, Frank (with Kozniewski, Tadeusz) Examples of lack of rigidity in crystallo- 
graphic groups. 92g:57045 

Elliott, George A. see Bratteli, Ola; et al., 92d:58008 

Evans, David E. see Bratteli, Ola; et al., 92d:58008 

Hinson, Edward K. Word length in elementary matrices. 92i:20049 

Igusa, Kiyoshi Notes on the no loops conjecture. 92b:16013 

Kishimoto, Akitaka see Bratteli, Ola; et al., 92d:58008 

Koéniewski, Tadeusz see Connolly, Frank, 92g:57045 

Suslin, A. A. SK; of division algebras and Galois cohomology. 92m:12013 


19Cxx Steinberg groups and K> 


19C09 Central extensions and Schur multipliers 


Items with secondary classifications in 19C09 


Berger, Ruth I. Quadratic extensions with elementary abelian K2(O). 92k:11136 
Berrick, A. J. Torsion generators for all abelian groups. 92b:20068 

Morita, Jun Coverings, Schur multipliers and K2 of Kac-Moody groups. 92m:17041 
Nekovai, Jan The Maslov index and Clifford algebras. (Russian) 92b:11024 


19C20 Symbols, presentations and stability of K, 


Items with secondary classifications in 19C20 


Kersten, Ina K> und Z,-Erweiterungen von Q(¢,,). (English summary) [K2 and Z,- 
extensions of Q(¢,-)] 92ma:11121 





19C30 


19C30 K> and the Brauer group 


Items with secondary classifications in 19C30 
Morita, Jun Coverings, Schur multipliers and K2 of Kac-Moody groups. 92m:17041 


19C99 None of the above, but in this section 


Morita, Jun Kac-Moody groups over fields with trivial K2. 92k:19002 
You, Hong K2(R,/) of unit stable rings. (Chinese) 


Items with secondary classifications in 19C99 


Brauckmann, Boris The 2-Sylow-subgroup of the tame kernel of number fields. 92e:11135 
Kamienny, S. Torsion points on elliptic curves. 92a:11067 


19Dxx Higher algebraic K-theory 


19D06 Q- and plus-constructions 


Min, Cheong-Sick Group actions on fibrations and suspension of ring. 92m:19003 
Uridiya, M. B. U-theory of exact categories. 92e:19001 


Items with secondary classifications in 19D06 

Arlettaz, Dominique The Hurewicz homomorphism in algebraic K-theory. 92k:55027 
Pataraia, P. On Quillen’s + construction of perfect groups. 92e:55020 

Srinivas, V. * Algebraic K-theory. 92j:19001 


19D10 Algebraic K-theory of spaces 


Carlsson, Gunnar On the homotopy fixed point problem for free loop spaces and other 
function complexes. 92g:19002 

Nenashev, A. Simplicial definition of A-operations in higher K-theory. 92h:19001 

Vogell, Wolrad Algebraic K-theory of spaces, with bounded control. 92b:19001 

— Boundedly controlled algebraic K-theory of spaces and its linear counterparts. 92m:19004 


Items with secondary classifications in 19D10 
Farrell, F.T. (with Jones, Lowell Edwin) Computations of stable pseudoisotopy spaces for 
aspherical manifolds. 92k:57038 


Hsiang, Wu Chung Borel’s conjecture, Novikov’s conjecture and the K-theoretic analogues. 
92k:57062 

Jones, Lowell Edwin see Farrell, F. T., 92k:57038 

Thomason, R. W. (with Trobaugh, Thomas) Higher algebraic K-theory of schemes and of 
derived categories. 92f:19001 

Trobaugh, Thomas see Thomason, R. W., 92f:19001 


19D23 Symmetric monoidal categories [see also 18D10] 


Items with secondary classifications in 19D23 
Jardine, J. F. Supercoherence. 92m:18011 
Lewis, L. Gaunce, Jr. Is there a convenient category of spectra? 92£:55008 


19D35 Negative K-theory, NK and Nil 

Asanuma, Teruo Pic R[X, X~'] for R a one-dimensional reduced Noetherian ring. 
92g:19003 

Weibel, Charles A. Pic is a contracted functor. 92¢:19002 


Items with secondary classifications in 19D35 

Connolly, Frank (with Kozniewski, Tadeusz) Examples of lack of rigidity in crystallo- 
graphic groups. 92g:57045 

Kozniewski, Tadeusz see Connolly, Frank, 92g:57045 


19D45 Higher symbols, Milnor K-theory 

Rost, Markus A (mod 3) invariant for exceptional Jordan algebras. (French summary) 
92j:19002 

Suslin, A. A. (with Yarosh, V. A.) Milnor’s K; of a discrete valuation ring. 92j:19003 

Yarosh, V. A. see Suslin, A. A., 92j:19003 


Items with secondary classifications in 19D45 

Bogomolov, R. A. On the torsion of higher Milnor K-groups of multidimensional local fields 
“in the characteristic” of the latter residue field. (Russian) 92k:11137 

Izhboldin, O. On p-torsion in K™ for fields of characteristic p. 92f:11165 

Kato, Kazuya The explicit reciprocity law and the cohomology of Fontaine-Messing. (French 
summary) 92k:11068 

Musikhin, A. (with Suslin, A. A.) Triviality of the higher Chern classes in the K-theory of 
global fields. 92:11166 


Parshin, A. N. Galois cohomology and the Brauer group of local fields. (Russian) 
92¢:11136 


Suslin, A. A. see Musikhin, A., 92f:11166 


19D50 Computations of higher K-theory of rings 
[see also 13D15, 16E20] 


Schlicker, Steven J. On the linear, symplectic and orthogonal K groups of Z/p?Z in 
dimensions | through 5. 92h:19002 


Items with secondary classifications in 19D50 
Arlettaz, Dominique The Hurewicz homomorphism in algebraic K-theory. 92k:55027 


K-THEORY 


1992 326 


Carlsson, Gunnar Equivariant stable homotopy theory and the finite descent problem for 
unstable algebraic K-theories. 92k:55018 

Farrell, F.T. (with Jones, Lowell Edwin) Computations of stable pseudoisotopy spaces for 
aspherical manifolds. 92k:57038 

Jones, Lowell Edwin see Farrell, F. T., 92k:57038 

Kida, Masanari A note on exponents of K-groups of rings of algebraic integers. 92i:11124 

Komatsu, Keiichi K-groups and ideal class groups of number fields. 92¢:11135 


19D55 K-theory and homology; cyclic homology and cohomology 
[see also 18G60] 


Cathelineau, Jean-Louis A-structures in algebraic K-theory and cyclic homology. 92k:19003 

Connes, Alain On the Chern character of 6 summable Fredholm modules. 92i:19003 

Cortiiias, Guillermo H. (with Villamayor, Orlando Eugenio) Cyclic homology of K[Z/2Z]. 
92e:19002 

Gaucher, Philippe Lambda-opérations et homologie des matrices. (English summary) 
[Lambda operations and homology of matrices] 92k:19004 

Kassel, Christian Homologie cyclique, caractére de Chern et lemme de perturbation. [Cyclic 
homology, Chern characters and a pertubation lemma] 92d:19002 

Klimek, Slawomir (with Lesniewski, Andrzej) Chern character in equivariant entire cyclic 
cohomology. 92h:19003 

Kolosov, V. A. (with Solov'ev, Yu. P.) The rational homotopy type of Hermitian K-theory. 
(Russian) 92b:19002 

Lesniewski, Andrzej see Klimek, Stawomir, 92h:19003 

Lodder, Gerald Cyclic homology and de Rham cohomology. 92m:19005 

Nuss, Philippe L’homologie cyclique des algébres enveloppantes des algébres de Lie de 
dimension trois. (English summary) [The cyclic homology of the enveloping algebras of 
three-dimensional Lie algebras] 92i:19004 

Patras, F. Construction géométrique des idempotents eulériens. Filtration des groupes de 
polytopes et des groupes d’homologie de Hochschild. (English summary) [Geometric 
construction of Euler idempotents. Filtration of the groups of polytopes and of the 
Hochschild cohomology groups] 92i:19005 

Perelygin, S. I. Cyclic (co)homology of pre-additive categories. (Russian. English summary) 
92d:19003 

Quillen, D. Chern-Simons forms and cyclic cohomology. 92d:19004 

Solov'ev, Yu. P. see Kolosov, V. A., 92b:19002 

Suslin, A. A. K-theory and K-cohomology of certain group varieties. 92g:19004 

Vigué-Poirrier, Micheline Homologie de Hochschild et homologie cyclique des algébres 
différentielles graduées. [Hochschild homology and cyclic homology in graded differential 
algebras] 92e:19003 

— Cyclic homology of algebraic hypersurfaces. 92h:19004 

— Décompositions de l’homologie cyclique des algébres différentielles graduées commuta- 
tives. (English summary) [Decomposition of the cyclic homology of commutative graded 
differential algebras] 92¢:19004 

Villamayor, Orlando Eugenio see Cortiiias, Guillermo H., 92e:19002 

Vutié, A. (with Zivaljevi¢, R.) Dihedral hyperhomology of a chain algebra with involution. 
92i:19006 

Wang, Xiaolu Bivariant Chern character. I. (see 91g:47002) 

Zivaljevié, R. see Vutié, A., 92i:19006 


Items with secondary classifications in 19D55 

Avramov, Luchezar L. (with Vigué-Poirrier, Micheline) Hochschild homology criteria for 
smoothness. 92m:13020 

Beilinson, A. A. (with Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N.) Aomoto 
dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the 
plane. 92h:19007 

Brodzki, Jacek Lie cochains on an algebra. 92¢:17026 

Burghelea, D. The free loop space. I. Algebraic topology. 92h:57053 

Carlsson, Gunnar On the homotopy fixed point problem for free loop spaces and other 
function complexes. 92g:19002 

Chen, Hua (with Lee, Doobum) A remark on equivariant Poincaré duality. 92m:57043 

Connes, Alain Noncommutative geometry. 92a:58136 

— Essay on physics and noncommutative geometry. 92g:58007 

— (with Moscovici, Henri) Cyclic cohomology, the Novikov conjecture and hyperbolic 
groups. 92a:58137 

— Caractéres des représentations 6-sommables des groupes discrets. (English summary) 
[Characters of 0-summable Fredholm representations of discrete groups] 92c:19003 

Coquereaux, R. Noncommutative geometry and theoretical physics. 92b:58020 

— (with Jadczyk, A.; Kastler, Daniel) Differential and integral geometry of Grassmann 
algebras. 92i:58016 

Douglas, Ronald G. (with Hurder, Steven; Kaminker, Jerome) The longitudinal cocycle and 
the index of Toeplitz operators. 92k:58266 

Ernst, Kaspar (with Feng, Ping; Jaffe, Arthur M.; Lesniewski, Andrzej) Quantum K-theory. 
II. Homotopy invariance of the Chern character. 92¢:46136 

Feng, Ping see Ernst, Kaspar; et al., 92¢:46136 

Geller, Susan C. see Weibel, Charles A., 92e:19006 

Gerdes, Wolfram Affine Grassmannian homology and the homology of general linear 
groups. 92i:14006 

Getzler, Ezra (with Jones, John D. S.; Petrack, Scott) Differential forms on loop spaces and 
the cyclic bar complex. 92i:58179 

Goncharov, A. B. see Beilinson, A. A.; et al., 92h:19007 

Griffiths, Phillip A. (with Morgan, John Willard) * PaunonanbHasa Teopua TOMOTONHH H 
muddepenunanbubie opm. (Russian) [Rational homotopy theory and differential forms] 
92f:55013 

Guccione, Jorge Alberto (with Guccione, Juan José) Hochschild homology of complete 
intersections. 92k:16017 

Guccione, Juan José see Guccione, Jorge Alberto, 92k:16017 

Hsiang, Wu Chung Borel’s conjecture, Novikov’s conjecture and the K-theoretic analogues. 
92k:57062 

Hurder, Steven see Douglas, Ronald G.; et al., 92k:58266 





327 1992 


Igusa, Kiyoshi Notes on the no loops conjecture. 92b:16013 

Jadezyk, A. see Coquereaux, R.; et al., 92i:58016 

Jaffe, Arthur M. (with Osterwalder, Konrad) Ward identities for noncommutative 
geometry. 92¢:46139 

— see also Ernst, Kaspar; et al., 92e:46136 

Jones, John D. S. see Getzler, Ezra; et al., 92i:58179 

Kaminker, Jerome see Douglas, Ronald G.; et al., 92k:58266 

Karoubi, Max Théorie générale des classes caractéristiques secondaires. (English summary) 
[General theory of secondary characteristic classes] 92a:55006 

Kastler, Daniel Introduction to entire cyclic cohomology (of Z/2-graded Banach algebras). 
92b:46113 

— Equivariant calculus in the differential envelope. 92i:58017 

— see also Coquereaux, R.; et al., 92i:58016 

Lapin, S. V. Normalization of reflexive and dihedral modules. (Russian) 92d:18010 

Lee, Doobum see Chen, Hua, 92m:57043 

Lesniewski, Andrzej see Ernst, Kaspar; et al., 92e:46136 

Manin, Yu. I. * Topics in noncommutative geometry. 92k:58024 

Morgan, John Willard see Griffiths, Phillip A., 92f:55013 

Moscovici, Henri see Connes, Alain, 92a:58137 

Osterwalder, Konrad see Jaffe, Arthur M., 92e:46139 

(Pazhitnov, A. V.) see Griffiths, Phillip A., 92f:55013 

Petrack, Scott see Getzler, Ezra; et al., 92i:58179 

Sanada, Katsunori On the periodic cohomology of a twisted group algebra. 92g:16017 

Schechtman, V. V. see Beilinson, A. A.; et al., 92h:19007 

Tralle, A. E. Cyclic homology of some topological spaces. (Russian) 92j:55006 

Varchenko, A. N. see Beilinson, A. A.; et al., 92h:19007 

Vigué-Poirrier, Micheline see Avramov, Luchezar L., 92m:13020 

Weibel, Charles A. (with Geller, Susan C.) Etale descent for Hochschild and cyclic 
homology. 92¢:19006 

Xia, Jingbo Geometric invariants of the quantum Hall effect. 92a:46087 

Yu, Guo Liang Cyclic cohomology and the index theory of transversely elliptic operators. 
92j:58106 


19D99 None of the above, but in this section 

Muzere, Mark On a question posed by C. Weibel on surjectivity in algebraic K-theory. 
92e:19005 

Weibel, Charles A. (with Yao, Dongyuan) Localization for the K-theory of noncommuta- 
tive rings. 92m:19006 

Yao, Dongyuan see Weibel, Charles A., 92m:19006 


Items with secondary classifications in 19D99 

Gerstenhaber, M. (with Schack, S. D.) The shuffle bialgebra and the cohomology of 
commutative algebras. 92e:13008 

Neeman, Amnon Some new axioms for triangulated categories. 92b:18011 

Niwa, Masahiko Theory of G-categories toward equivariant algebraic K-theory. 92i:18006 

Schack, S. D. see Gerstenhaber, M., 92e:13008 

Suslin, A. A. SK, of division algebras and Galois cohomology. 92m:12013 


19Exx K-theory in geometry 


19E08 K-theory of schemes [see also 14C35] 


Joshua, Roy Higher K-theory of the category of weakly equivariant D-modules. 92k:19005 

Panin, I. A. On algebraic K-theory of generalized flag fiber bundles and some of their 
twisted forms. 92h:19005 

— On algebraic K-theory of some principal homogeneous spaces. 92h:19006 

Thomason, R. W. (with Trobaugh, Thomas) Higher algebraic K-theory of schemes and of 
derived categories. 92f:19001 

Trobaugh, Thomas see Thomason, R. W., 92f:19001 

Vistoli, Angelo Higher equivariant K-theory for finite group actions. 924:19005 


Items with secondary classifications in 19E08 

Landsburg, Steven E. K-theory and patching for categories of complexes. 92k:18010 
Lichtenbaum, S. New results on weight-two motivic cohomology. 92m:14030 
Mitchell, Stephen A. Harmonic localization of algebraic K-theory spectra. 92j:55005 
Ross, Raymond XK; of elliptic curves with sufficient torsion over Q. 92k:11061 


19E15 Algebraic cycles [see also 14C25, 14C35] 
Landsburg, Steven E. Relative Chow groups. 92i:19007 


Items with secondary classifications in 19E15 


Collino, A. A regulator map for surfaces with an isolated singularity. 92e:14006 

Colliot-Thélene, Jean-Louis (with Raskind, Wayne) Groupe de Chow de codimension deux 
des variétés définies sur un corps de nombres: un théoréme de finitude pour la torsion. 
(English summary) [The codimension-two Chow group of varieties defined over a number 
field: a finiteness theorem for the torsion] 92j:14009 

Gerdes, Wolfram The linearization of higher Chow cycles of dimension one. 92j:14010 

Landsburg, Steven E. K-theory and patching for categories of complexes. 92k:18010 

Lichtenbaum, S. New results on weight-two motivic cohomology. 92m:14030 

Raskind, Wayne see Colliot-Thélene, Jean-Louis, 92j:14009 

Zelinsky, David S. Some abelian threefolds with nontrivial Griffiths group. 92h:14005 


19E20 Relations with cohomology theories [see also 14F xx] 


Beilinson, A. A. (with Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N.) Aomoto 
dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the 
plane. 92h:19007 


K-theory of forms 


Goncharov, A. B. see Beilinson, A. A.; et al., 92h:19007 
Schechtman, V. V. see Beilinson, A. A.; et al., 92h:19007 
Varchenko, A. N. see Beilinson, A. A.; et al., 92h:19007 


Items with secondary classifications in 19E20 

Deninger, Christopher Higher order operations in Deligne cohomology. 92b:14009 

Esnault, Hélene Une remarque sur la cohomologie du faisceau de Zariski de la K-théorie de 
Milnor sur une variété lisse complexe. [A remark on the cohomology of the Zariski sheaf 
of Milnor K-theory on a smooth complex variety] 92c:14011 

Franke, Jens Chow categories. 92j:14004 

— Chern functors. 92j:14011 

Friedlander, Eric Mark (with Mislin, Guido) Galois descent and cohomology for algebraic 
groups. 92a:14052 

Joshua, Roy Riemann Roch for equivariant D-modules. I. 92d:14006 

— The trace formula for equivariant D-modules and perverse sheaves. 92d:14007 

Mislin, Guido see Friedlander, Eric Mark, 92a:14052 

Quillen, D. Chern-Simons forms and cyclic cohomology. 924:19004 


19E99 None of the above, but in this section 


Geller, Susan C. see Weibel, Charles A., 92e:19006 
Weibel, Charles A. (with Geller, Susan C.) Etale descent for Hochschild and cyclic 
homology. 92e:19006 


Items with secondary classifications in 19E99 

Varchenko, A. N. Multidimensional hypergeometric functions and their appearance in 
conformal field theory, algebraic K-theory, algebraic geometry, etc. 92i:33004 

Wojtkowiak, Zdzistaw A construction of analogs of the Bloch-Wigner function. 92b:11084 


19Fxx XK-theory in number theory [see also 11R70, 
11S70] 


19F05 Generalized class field theory [see also 11G45] 
Fesenko, I. B. A multidimensional local theory of class fields. (Russian) 92h:19008 


Items with secondary classifications in 19F05 

Fesenko, I. B. On class field theory of multidimensional local fields of positive characteris- 
tic. 92f:11167 

Vostokov, S. V. An elementary abelian p-extension of a multidimensional local field. 
(Russian) 92¢:11137 


19F15 Symbols and arithmetic [see also 11R37] 


Items with secondary classifications in 19F15 
Ross, Raymond K> of Fermat curves and values of L-functions. (French summary) 
92e:19007 


Zagier, Don Polylogarithms, Dedekind zeta functions and the algebraic K-theory of fields. 
92f:11161 


19F27 Etale cohomology, higher regulators, zeta and L-functions 
[see also 11G40, 11R42, 11840, 14F20, 14G10] 


Ross, Raymond K> of Fermat curves and values of L-functions. (French summary) 
92e:19007 


Items with secondary classifications in 19F27 

Deninger, Christopher (with Scholl, Anthony J.) The Beilinson conjectures. 92h:11056 

Joshua, Roy Generalised Verdier duality for presheaves of spectra. 1. 92i:55008 

Mestre, Jean-Francois (with Schappacher, Norbert) Séries de Kronecker et fonctions L des 
puissances symétriques de courbes elliptiques sur Q. [Kronecker series and L-functions of 
symmetric powers of elliptic curves over Q] 92c:11062 

Ross, Raymond XK; of elliptic curves with sufficient torsion over Q. 92k:11061 

Schappacher, Norbert see Mestre, Jean-Francois, 92c:11062 

Scholl, Anthony J. Remarks on special values of L-functions. 92h:11057 

— see also Deninger, Christopher, 92h:11056 

Wojtkowiak, Zdzistaw A construction of analogs of the Bloch-Wigner function. 92b:11084 

Zagier, Don Polylogarithms, Dedekind zeta functions and the algebraic K-theory of fields. 
92£:11161 


19F99 None of the above, but in this section 


Items with secondary classifications in 19F99 


Arason, Jén Kr. (with Elman, Richard) Nilpotence in the Witt ring. 92k:11043 
Elman, Richard see Arason, Jon Kr., 92k:11043 
Sladek, Andrzej Witt rings of division algebras over global fields. 92b:12005 


19Gxx K-theory of forms [see also 11Exx] 


Items with secondary classifications in 19Gxx 


(Bertuccioni, Inta) see Knus, Max-Albert, 92i:11039 
Knus, Max-Albert * Quadratic and Hermitian forms over rings. 92i:11039 





19G12 


19G12 Witt groups of rings [see also 11E81] 


Items with secondary classifications in 19G12 

Fitzgerald, Robert W. Combinatorial techniques and abstract Witt rings. III. 92a:11047 

Jacob, Bill (with Ware, Roger) Realizing dyadic factors of elementary type Witt rings and 
pro-2 Galois groups. 92h:11032 

Kanzaki, Teruo Totally real algebras. 92b:13007 

Parimala, R. (with Sujatha, R.) Witt group of hyperelliptic curves. 92d:11038 

Sladek, Andrzej Witt rings of division algebras over global fields. 92b:12005 

Sujatha, R. see Parimala, R., 92d:11038 

Ware, Roger see Jacob, Bill, 92h:11032 


19G24 L-theory of group rings [see also 11E81] 


Milgram, R. James (with Ranicki, A.A.) The L-theory of Laurent extensions and genus 0 
function fields. 92d:19006 
Ranicki, A. A. see Milgram, R. James, 92d:19006 


Items with secondary classifications in 19G24 


Kasparov, G. G. (with Skandalis, Georges) Groups acting on buildings, operator K-theory, 
and Novikov’s conjecture. 92h:19009 
Skandalis, Georges see Kasparov, G. G., 92h:19009 


19G38 Hermitian K-theory, relations with K-theory of rings 
Shapiro, Jack M. Chern classes for Hermitian L-theory. 92m:19007 


19G99_ None of the above, but in this section 
Marquez Hernandez, Concepcién M. see Reyes Sanchez, Ma. Victoria, (92b:00044) 
Reyes Sanchez, Ma. Victoria (with Marquez Hernandez, Concepcion M.) A parametric 


form over the endomorphism algebra of a progenerator. (Spanish. English summary) (see 
92b:00044) 


Items with secondary classifications in 19G99 


Colliot-Théléne, Jean-Louis (with Jannsen, Uwe) Sommes de carrés dans les corps de 
fonctions. (English summary) [Sums of squares in function fields] 92c:11036 
Jannsen, Uwe see Colliot-Théléene, Jean-Louis, 92c:11036 


19Jxx Obstructions from topology 


19J05 Finiteness and other obstructions in Ko 


Items with secondary classifications in 19J05 

Bochnak, Jacek (with Kucharz, Wojciech) On polynomial mappings into spheres. 
92¢:14054 

Kucharz, Wojciech see Bochnak, Jacek, 92e:14054 


19J10 Whitehead (and related) torsion 


Items with secondary classifications in 19J10 
Lustig, Martin Nielsen equivalence and simple-homotopy type. 92a:57025 


19J25 Surgery obstructions [see also 57R67] 


Items with secondary classifications in 19J25 

Curran, Stephen J. Intersection homology and free group actions on Witt spaces. 
92m:55005 

Milgram, R. James (with Ranicki, A. A.) The L-theory of Laurent extensions and genus 0 
function fields. 924:19006 

— Surgery with finite fundamental group. I. The obstructions. 92j:57021a 

— Surgery with finite fundamental group. II. The oozing conjecture. 92j:57021b 

Ranicki, A. A. see Milgram, R. James, 92d:19006 


19J35 Obstructions to group actions 


Items with secondary classifications in 19J35 

Cappell, Sylvain E. (with Weinberger, Shmuel) A simple construction of Atiyah-Singer 
classes and piecewise linear transformation groups. 92k:57064 

Guillemin, Victor (with Prato, Elisa; Souza, Regina) Consequences of quasi-free. 
92b:58070 

Prato, Elisa see Guillemin, Victor; et al., 92b:58070 

Souza, Regina see Guillemin, Victor; et al., 92b:58070 

Weinberger, Shmuel see Cappell, Sylvain E., 92k:57064 


19Kxx K-theory and operator algebras [See mainly 
46L80, and also 46M20] 


19K14 Kp as an ordered group, traces 


Items with secondary classifications in 19K14 


Blackadar, Bruce Rational C*-algebras and nonstable K-theory. 92¢:46135 
Goodearl, Kenneth R. Extensions of dimension groups and AF C*-algebras. 92c:46076 


K-THEORY 1992 328 


Hiibl, Reinhold * Traces of differential forms and Hochschild homology. 92a:13010 

Klimek, Slawomir (with Kondracki, Witold; Lesniewski, Andrzej) Equivariant entire cyclic 
cohomology. I. Finite groups. 92g:46091 

Kondracki, Witold see Klimek, Slawomir, et al., 92g:46091 

Lesniewski, Andrzej see Klimek, Stawomir; et al., 92g:46091 

Phillips, John (with Raeburn, Iain) Voiculescu’s double commutant theorem and the 
cohomology of C*-algebras. 92c:46077 

Raeburn, Iain see Phillips, John, 92c:46077 

Stacey, P. J. Stability of involutory +-antiautomorphisms in UHF algebras. 92g:46077 


19K33 EXT and K-homology [see also 55N22] 


Baum, Paul (with Douglas, Ronald G.) Relative K homology and C* algebras. 92m:19008 
Douglas, Ronald G. see Baum, Paul, 92m:19008 
Kasparov, G. G. Relative K-homology and K-homology of an ideal. 92m:19009 


Items with secondary classifications in 19K33 

Carey, Alan L. (with Phillips, John) Algebras almost commuting with Clifford algebras in a 
II, factor. 92m:46107 

Fox, Jeffrey (with Haskell, Peter; Pardon, William L.) Two themes in index theory on 
singular varieties. 92e:58204 

Goodearl, Kenneth R. Extensions of dimension groups and AF C*-algebras. 92c:46076 

Haskell, Peter see Fox, Jeffrey; et al., 92e:58204 

Khelemskii, A. Ya. Expression of the normal cohomology in terms of “ext”, and some 
applications. 92a:46091 

Pardon, William L. see Fox, Jeffrey; et al., 92e:58204 

Phillips, John see Carey, Alan L., 92m:46107 

Thomsen, Klaus Nonstable K-theory for operator algebras. 92h:46102 

Wassermann, Simon C*-algebras associated with groups with Kazhdan’s property 7. 
92g:46085 


19K35 Kasparov theory (K K-theory) [see also 58G12] 


Baum, Paul (with Block, Jonathan) Equivariant bicycles on singular spaces. (French 
summary) 92b:19003 

Block, Jonathan see Baum, Paul, 92b:19003 

Higson, Nigel A primer on KK-theory. 92g:19005 

Julg, Pierre (with Kasparov, G.G.) L’anneau K Kg(C,C) pour G = SU(n, 1). (English 
summary) [The ring KKg(C,C) for G = SU(n, 1)] 92i:19008 

Kasparov, G. G. (with Skandalis, Georges) Groups acting on buildings, operator K-theory, 
and Novikov’s conjecture. 92h:19009 

— see also Julg, Pierre, 92i:19008 

Skandalis, Georges see Kasparov, G. G., 92h:19009 

Valette, Alain Le rdéle des fibrés de rang fini en théorie de Kasparov équivariante. [The role 
of fiber bundles of finite rank in equivariant Kasparov theory] 92i:19009 


Items with secondary classifications in 19K35 

Baum, Paul (with Douglas, Ronald G.) Relative K homology and C* algebras. 92m:19008 

Coquereaux, R. Noncommutative geometry and theoretical physics. 92b:58020 

Douglas, Ronald G. see Baum, Paul, 92m:19008 

Fox, Jeffrey (with Haskell, Peter) Index theory on locally homogeneous spaces. 92j:58105 

Haskell, Peter see Fox, Jeffrey, 92j:58105 

Kasparov, G. G. Relative K-homology and K-homology of an ideal. 92m:19009 

Schochet, Claude The Kasparov groups for commutative C*-algebras and Spanier- 
Whitehead duality. 92¢:46138 

Skandalis, Georges Kasparov’s bivariant K-theory and applications. 92h:46101 

Takai, Hiroshi A counterexample of strong Baum-Connes conjectures for foliated 
manifolds. 92i:58185 

Wang, Xiaolu The C*-algebras of Morse-Smale flows on two-manifolds. 92f:58014 

Wassermann, Antony Coactions and Yang-Baxter equations for ergodic actions and 
subfactors. 92d:46167 


19K56 Index theory [see also 58G12] 


Connes, Alain Caractéres des représentations 0-sommables des groupes discrets. (English 
summary) [Characters of @-summable Fredholm representations of discrete groups] 
92c:19003 

Takai, Hiroshi On the Baum-Connes conjecture. 92c:19004 


Items with secondary classifications in 19K56 


Cappell, Sylvain E. (with Shaneson, Julius L.; Weinberger, Shmuel) Classes topologiques 
caractéristiques pour les actions de groupes sur les espaces singuliers. (English summary) 
[Topological characteristic classes for group actions on singular spaces] 92f:57035 

Connes, Alain Noncommutative geometry. 92a:58136 

— * Géométrie non commutative. (French) [Noncommutative geometry] 92e:58016 

— Introduction a la géométrie non-commutative. [Introduction to noncommutative 
geometry] 92¢:58017 

— (with Moscovici, Henri) Cyclic cohomology, the Novikov conjecture and hyperbolic 
groups. 92a:58137 

Douglas, Ronald G. (with Hurder, Steven; Kaminker, Jerome) The longitudinal cocycle and 
the index of Toeplitz operators. 92k:58266 

Exel, Ruy (with Loring, Terry A.) Extending cellular cohomology to C*-algebras. 
92e:46137 

Farsi, Carla K-theoretical index theorems for good orbifolds. 92j:58102 

Fox, Jeffrey (with Haskell, Peter) Index theory on locally homogeneous spaces. 92j:58105 

Haskell, Peter see Fox, Jeffrey, 92j:58105 

Higson, Nigel A primer on K K-theory. 92g:19005 

Hurder, Steven see Douglas, Ronald G.; et al., 92k:58266 

Kaminker, Jerome see Douglas, Ronald G.; et al., 92k:58266 





329 1992 


Kasparov, G. G. (with Skandalis, Georges) Groups acting on buildings, operator K-theory, 
and Novikov’s conjecture. 92h:19009 

Khoshkam, Mahmood Close C*-algebras are K K-equivalent. 92b:46114 

Klimek, Stawomir (with Lesniewski, Andrzej) Chern character in equivariant entire cyclic 
cohomology. 92h:19003 

Lesniewski, Andrzej see Klimek, Stawomir, 92h:19003 

Loring, Terry A. see Exel, Ruy, 92¢:46137 

Moscovici, Henri see Connes, Alain, 92a:58137 

Park, Efton (with Schochet, Claude) On the K-theory of quarter-plane Toeplitz algebras. 
92d:46174 

Phillips, John K-theory relative to a semifinite factor. 92a:46085 

Roe, John A note on the relative index theorem. 92g:58125 

Schochet, Claude see Park, Efton, 92d:46174 

Shaneson, Julius L. see Cappell, Sylvain E.; et al., 92f:57035 

Skandalis, Georges see Kasparov, G. G., 92h:19009 

Takai, Hiroshi A counterexample of strong Baum-Connes conjectures for foliated 
manifolds. 92i:58185 

Upmeier, Harald Multivariable Toeplitz operators and index theory. 92m:58131 

Valette, Alain Le rdle des fibrés de rang fini en théorie de Kasparov équivariante. [The role 
of fiber bundles of finite rank in equivariant Kasparov theory] 92i:19009 

Watatani, Yasuo Jones index theory for C*-algebras. 924:46175 

Weinberger, Shmuel see Cappell, Sylvain E.; et al., 92£:57035 

Xia, Jingbo Geometric invariants of the quantum Hall effect. 92a:46087 

Yu, Guo Liang Cyclic cohomology and the index theory of transversely elliptic operators. 
92j:58106 

Zamboni, Luca Quardo A Chern character in cyclic homology. 92g:19006 


19K99 None of the above, but in this section 


Items with secondary classifications in 19K99 

Beggs, Edwin J. (with Evans, David E.) The real rank of algebras of matrix valued 
functions. 92¢:46114 

Bost, Jean-Benoit Principe d’Oka, K-théorie et systemes dynamiques non commutatifs. 
[The Oka principle, K-theory and noncommutative dynamical systems] 92j:46126 

Bunce, L. J. (with Wright, J. D. Maitland) Introduction to the K-theory of Jordan C*- 
algebras. 92a:46082 

Corach, Gustavo (with Suarez, Fernando Daniel) Real stable ranks. 92f:46090 

Elliott, George A. Dimension groups with torsion. 92¢:46116 

Evans, David E. see Beggs, Edwin J., 92e:46114 

Exel, Ruy (with Loring, Terry A.) Invariants of almost commuting unitaries. 92a:46083 

Friedrich, Jiirgen Local group representations. 92g:22014 

Inasaridze, Kh. N. K-theory of special normed rings. 92j:46133 

Kandelaki, T. K. K-theory of Z-graded Banach categories. I. 92¢:46078 

Khelemskii, A. Ya. From topological homology: algebras with various conditions of 
homological triviality. (Russian) 92k:46120 

Khimshiashvili, G. N. On certain nonstable homotopy invariants for operator algebras. 
(Russian and Georgian summaries) 92j:46124 

Kumjian, A. On the K-theory of the symmetrized noncommutative torus. 92b:46115 

Lé Anh Vii On the foliations formed by the generic K-orbits of the MD4-groups. 92f:46088 

Loring, Terry A. see Exel, Ruy, 92a:46083 

Moriyoshi, Hitoshi Chern character for proper I-manifolds. 92b:58225 

Murphy, Gerard J. Dimension theory and stable rank. 92i:46084 

Nagy, Gabriel On the general stable rank for pairs. 92a:46084 

Phillips, N. Christopher K-theory for Fréchet algebras. 92¢:46143 

Soibel/man, Ya. S. see Vaksman, L. L., 92e:58021 

Sudrez, Fernando Daniel see Corach, Gustavo, 92f:46090 

Vaksman, L. L. (with Soibel/man, Ya. S.) Algebra of functions on the quantum group 
SU(n + 1), and odd-dimensional quantum spheres. (Russian) 92e:58021 

Wright, J.D. Maitland see Bunce, L. J., 92a:46082 

Xia, Daoxing A note on the trace formulas for almost commuting operators. 92k:47074 


19Lxx Topological K-theory [see also 55N15, 55R50, 
55S25] 


19L10 Riemann-Roch theorems, Chern characters 
Zamboni, Luca Quardo A Chern character in cyclic homology. 92g:19006 


Items with secondary classifications in 19L10 


Gillet, Henri (with Soulé, Christophe) Analytic torsion and the arithmetic Todd genus. 
924:14015 

Karoubi, Max Théorie générale des classes caractéristiques secondaires. (English summary) 
[General theory of secondary characteristic classes] 92a:55006 

Soulé, Christophe see Gillet, Henri, 92d:14015 

(Zagier, Don) see Gillet, Henri, 92d:14015 


19L20 J-homomorphism, Adams operations [see also 55Q50] 


Items with secondary classifications in 19L20 


Kambe, Tsunekazu Adams operation and y-filtration in K-theory. 92m:55024 
Nenashev, A. Simplicial definition of A-operations in higher K-theory. 92h:19001 


19L41 Connective K-theory, cobordism [see also 55N22] 


Items with secondary classifications in 19L41 
(Bahri, Anthony P.) see Gilkey, Peter B., 92b:57043 


GROUP THEORY AND GENERALIZATIONS 


20-00 


Baker, Andrew James A,,. structures on some spectra related to Morava K-theories. 
92m:55004 

(Bendersky, Martin) see Gilkey, Peter B., 92b:57043 

Gilkey, Peter B. * The geometry of spherical space form groups. 92b:57043 

Gusein-Zade, S. M. Stratifications of a space of functions, and algebraic K-theory. 
(Russian) 92k:57039 

Ochanine, Serge Elliptic genera, modular forms over KO, and the Brown-Kervaire 
invariant. 92a:57031 


19L47 Equivariant K-theory [see also 55N91, 55P91, 55Q91, 
55R91, 55891] 


Atiyah, Michael Francis (with Segal, Graeme B.) On equivariant Euler characteristics. 
92¢:19005 

Davydov, A. A. Equivariant K-theory of rings. (Russian) 92m:19010 

Kostant, Bertram (with Kumar, Shrawan) 7-equivariant K-theory of generalized flag 
varieties. 92¢:19006 

Kumar, Shrawan see Kostant, Bertram, 92c:19006 

Saito, Mutsumi A localization theorem for Z-modules. 92g:19007 

Segal, Graeme B. see Atiyah, Michael Francis, 92c:19005 


Items with secondary classifications in 19L47 

Joshua, Roy Higher K-theory of the category of weakly equivariant 7-modules. 92k:19005 

Moriyoshi, Hitoshi Chern character for proper I-manifolds. 92b:58225 

Niwa, Masahiko Theory of G-categories. (Japanese. English summary) 92d:18006 

Phillips, N. Christopher Five problems on operator algebras. (see 92d:00034) 

Wassermann, Antony Coactions and Yang-Baxter equations for ergodic actions and 
subfactors. 924:46167 


19L64 Computations, geometric applications 


Anderson, Douglas R. The relationship between the boundedly controlled K, and White- 
head groups. 92i:19010 


Items with secondary classifications in 19L64 

Ajetunmobi, M. O. On a theorem of S. G. Hoggar. 92i:55007 

Hu, Bi Zhong A vanishing result for Whitehead groups. 92k:57047 

Tang, Zi Zhou Isoparametric hypersurfaces with four distinct principal curvatures. 
92m:53098 


19L99 None of the above, but in this section 


Items with secondary classifications in 19L99 

Bousfield, A. K. A classification of K-local spectra. 92d:55003 

Hara, Shin-ichiro Note on KO-theory of BO(n) and BU(n). 92g:55008 

Kassel, Christian Homologie cyclique, caractére de Chern et lemme de perturbation. [Cyclic 
homology, Chern characters and a pertubation lemma] 92d:19002 

McCleary, John (with McLaughlin, Dennis A.) Morava K-theory and the free loop space. 
92¢:55011 

McLaughlin, Dennis A. see McCleary, John, 92c:55011 

Vallejo, Ernesto Polynomial operations on complex K-theory. 92f:55025 

Wiirgler, Urs Morava K-theories: a survey. 92j:55007 


19M05 Miscellaneous applications of K-theory 
Pan, Jian Zhong Application of K-theory to the realization problem. (Chinese) 92j:19004 


Items with secondary classifications in 19M05 

Béllissard, Jean Spectral properties of Schrédinger’s operator with a Thue-Morse potential. 
92b:82007 

Costinescu, Cristian N. Some remarks on generalized cohomology theories and real K- 
theory. 92¢:55021 

Goodwillie, Thomas G. Calculus. I. The first derivative of pseudoisotopy theory. 92m:57027 

Magalhdaes, Luisa The connective K-theory of spinor groups. 92b:55002 

Morimoto, Masaharu Most standard spheres have smooth one fixed point actions of As. II. 
92h:57055 

Rosenberg, Jonathan The KO-assembly map and positive scalar curvature. 92m:53060 

Vogell, Wolrad Algebraic K-theory of spaces, with bounded control. 92b:19001 


20-XX Group theory and generalizations 


20-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


(Vougiouklis, Thomas) see Bibliography: Algeb 
(92d:20003) 








tures and applications, 


Items listed otherwise than by author 
Bibliography: ; 
Algebraic hyperstructures and applications A bibliography on AHA (algebraic hyperstruc- 
tures and applications). (see 92d:20003) 





20-01 


20-01 Instructional exposition (textbooks, tutorial papers, etc.) 

Bédard, Robert * Groupes linéaires algébriques. (French) [Linear algebraic groups] 
92j:20001 

Borel, Armand * Linear algebraic groups. 92d:20001 

Procesi, Claudio * Elementi di teoria dei gruppi. (Italian) [Elements of group theory] 
92a:20001 


Items with secondary classifications in 20-01 

Allenby, R. B. J.T. * Rings, fields and groups. 92k:00004 

Artin, Michael * Algebra. 92g:00001 

Bican, Ladislav see Prochdzka, Ladislav; et al., 92i:00003 

Cohn, P.M. * Algebra. Vol. 3. 92c:00001 

Dummit, David S. (with Foote, Richard M.) * Abstract algebra. 92k:00007 

Foote, Richard M. see Dummit, David S., 92k:00007 

Hammond, C. * Introduction to crystallography. 92j:82067 

Jirgensen, H. (with Migliorini, F.; Szép, J.) * Semigroups. 92j:20056 

Kepka, Tomas see Prochazka, Ladislav; et al., 92i:00003 

Migliorini, F. see Jiirgensen, H.; et al., 92j:20056 

Némec, Petr see Prochazka, Ladislav; et al., 92i:00003 

Prochazka, Ladislav (with Bican, Ladislav; Kepka, Tomas; Némec, Petr) * Algebra. 
(Czech) 92i:00003 

Smirnov, Viadimir Ivanovich * Lehrgang der hdheren Mathematik. Teil III/1. (German) 
[Course in higher mathematics. Part III/1] 92i:00004 

Szép, J. see Jiirgensen, H.; et al., 92j:20056 


20-02 Research exposition (monographs, survey articles) 


(Chubarov, I. A.) see Feit, Walter, 92d:20002 

Collins, Donald J. (with Zieschang, Heiner) Combinatorial theory of groups, and 
fundamental groups. (Russian) 92h:20001 

Exlof, Paul C. (with Mekler, Alan H.) * Almost free modules. 92e:20001 

Feit, Walter * Teopus npencTaBieHHit KonewHEIX rpynn. (Russian) [The representation 
theory of finite groups] 92d:20002 

(Gres’, P.G.) see Feit, Walter, 92d:20002 

Grigorchuk, R. I. (with Kurchanov, P. F.) Some problems in group theory that are 
connected with geometry. (Russian) 92e:20002 

Humphreys, James E. * Reflection groups and Coxeter groups. 92h:20002 

(Kostrikin, Aleksei Ivanovich) see Feit, Walter, 92d:20002 

Kurchanov, P. F. see Grigorchuk, R. I., 92e:20002 and Collins, Donald J., 92h:20001 

Mekler, Alan H. see Eklof, Paul C., 92e:20001 

Segal, Dan Residually finite groups. 92a:20002 

Vaughan-Lee, Michael * The restricted Burnside problem. 92c:20001 

Zieschang, Heiner see Collins, Donald J., 92h:20001 


Items with secondary classifications in 20-02 

Benson, David John * Representations and cohomology. I. 92m:20005 

Cameron, Peter J. * Oligomorphic permutation groups. 92f:20002 

Digne, Francois (with Michel, Jean) * Representations of finite groups of Lie type. 
92g:20063 

Gupta, Chander Kanta Conjugacy in certain solvable groups. 92a:20033 

Kilshammer, Burkhard * Lectures on block theory. 92h:20020 

Michel, Jean see Digne, Francois, 92g:20063 


20-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 20-03 


Bachmuth, Seymour Horace Y. Mochizuki: in memoriam. 92h:01044 

Borel, Armand The work of Chevalley in Lie groups and algebraic groups. 92j:01042 

Casadio, Giuseppina (with Zappa, Guido) History of the Sylow theorem and its proofs. 
(Italian) 92f:01023 

(Chevalley, Claude) see Borel, Armand, 92j:01042 

Curtis, Charles W. A century of representation theory of finite groups. 92b:20011 

(Dickson, Leonard Eugene) see Parshall, Karen V. H., 92b:01046 

(Frobenius, Georg Ferdinand) see Williams, Floyd L., 92g:01059 

Glushkov, V.M. * KuGepxetuxka, BbruuciuTenbHasd TexHHKa, HHopMaTuKa. M36pannpie 
TpybI B Tpex ToMax. Tom |. (Russian) [Cybernetics, computer science, information 
science. Selected works in three volumes. Vol. 1] 92g:01108a 

Hofmann, Karl Heinrich Zur Geschichte des ee ne and French 
summaries) [On the history of the concept of igroup] 

(Kapitonova, = V.) see Glushkov, V. M., 92g:01108a 

Michler, Gerhard O. Vom Hilbertschen Basissatz bis zur Klassifikation der endlichen 
einfachen Gruppen. [From Hilbert’s basis theorem to the classification of finite simple 
groups] 92b:01045 

(Mikhalevich, V.S.) see Glushkov, V. M., 92g:01108a 

(Mochizuki, Horace Y.) see Bachmuth, Seymour, 92h:01044 





Parshall, Karen V.H. A study in group theory: Leonard Eugene Dickson’s Linear groups. 


92b:01046 


Williams, Floyd L. History and variation on the theme of the Frobenius reciprocity 
theorem. 92g:01059 


Zappa, Guido see Casadio, Giuseppina, 92f:01023 


Items listed otherwise than by author 
Biography: 
Glushkov, V.M. see Glushkov, V. M., 92g:01108a 


GROUP THEORY AND GENERALIZATIONS 


20-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Akl, Selim G. (with Labonté, G.; Leeder, M.; Qiu, K.) On doing Todd-Coxeter coset 
enumeration in parallel. 92k:20001 

Davies, B. L. (with Dirl, R.) A software package for IBM-compatible PCs to compute 
generalized compatibility relations for full space group representations. (see 92f:81008) 

— (with Dirl, R.) Software packages: space groups and their representations. (see 
92g:81003) 

— see also Dirl, R., (92£:81008) and (92g:81003) 

Dirl, R. (with Davies, B. L.) Nongeneric wave vector selection rules. (see 92f:81008) 

— (with Davies, B. L.) Software packages: transformation coefficients for space groups. (see 
92g:81003) 

— see also Davies, B. L., (92£:81008) and (92g:81003) 

Labonté, G. see Akl, Selim G.; et al., 92k:20001 

Leeder, M. see Akl, Selim G.; et al., 92k:20001 

Qiu, K. see Akl, Selim G.; et al., 92k:20001 


Items with secondary classifications in 20-04 

Butler, Gregory (with Cannon, John J.) Computing Sylow subgroups of permutation groups 
using homomorphic images of centralizers. 92m:20002 

Cameron, Peter J. (with Cannon, John J.) Fast recognition of doubly transitive groups. 
92m:20003 

Cannon, John J. see Butler, Gregory, 92m:20002 and Cameron, Peter J., 92m:20003 

Vaughan-Lee, Michael Collection from the left. 92c:20065 


20-06 Proceedings, conferences, collections, etc. 


(Campbell, C. M.) see Groups, 92c:20002 and 92c:20003 

(Grigorchuk, R. 1.) see Algebra, 92b:20001 

(Mohan Kumar, N.) see Proceedings: Hyderabad Conference on Algebraic Groups, 92d:20004 
(Musili, C.) see Proceedings: Hyderabad Conference on Algebraic Groups, 92d:20004 
(Ramanan, S.) see Proceedings: Hyderabad Conference on Algebraic Groups, 92d:20004 
(Rhodes, John) see Monoids and semigroups with applications, 92h:20004 

(Robertson, Edmund) see Groups, 92c:20002 and 92c:20003 

(Starostin, A.1I.) see Group-theoretic investigations, 92k:20002 

(Vougiouklis, Thomas) see Algebraic hyperstructures and applications, 92d:20003 


Items listed otherwise than by author 


Algebra * Anre6pa. 7. (Russian) [Algebra. 7] 92b:20001 
Algebraic hyperstructures and applications * Algebraic hyperstructures and applications. 
92d:20003 
Berkeley,CA * Monoids and semigroups with applications. 92h:20004 
Computational group theory * Computational group theory. Part 2. 92h:20003 
Conference: 
Algebraic Groups * Proceedings of the Hyderabad Conference on Algebraic Groups. 
92d:20004 
Groups * Groups—St. Andrews 1989. Vol. 1. 92c:20002 
— * Groups—St. Andrews 1989. Vol. 2. 92c:20003 
Congress: 
Algebraic Hyperstructures and Applications * Algebraic hyperstructures and applications. 
924d:20003 
Group-theoretic investigations * TeopeTuxo-rpynnosbie uccnegosanua. (Russian) [Group- 
theoretic investigations] 92k:20002 
Groups * Groups—St. Andrews 1989. Vol. 1. 92c:20002 
— * Groups—St. Andrews 1989. Vol. 2. 92c:20003 
Hyderabad * Proceedings of the Hyderabad Conference on Algebraic Groups. 924:20004 
Itogi Nauki i Tekhniki * Anre6pa. 7. (Russian) [Algebra. 7] 92b:20001 
Monoids and semigroups with applications * Monoids and semigroups with applications. 
92h:20004 
Proceedings: 
Hyderabad Conference on Algebraic Groups * Proceedings of the Hyderabad Conference 
on Algebraic Groups. 924:20004 
Representation theory of groups and special functions * Gun no hydgenron to tokushu 
kansi. (Japanese) [Representation theory of groups and special functions] 92d:20005 
St. Andrews * Groups—St. Andrews 1989. Vol. 1. 92c:20002 
— * Groups—St. Andrews 1989. Vol. 2. 92c:20003 
Symposium: 
Representation Theory of Groups and Special Functions * Gun no hydgenron to tokushu 
kanst. (Japanese) [Representation theory of groups and special functions] 92d:20005 
Workshop: 
Monoids * Monoids and semigroups with applications. 92h:20004 
Xanthi * Algebraic hyperstructures and applications. 92d:20003 


Items with secondary classifications in 20-06 

(Ito, Masami!) see Words, languages and combinatorics, 92m:00061 

(Kuusk, Piret) see Quasigroups and nonassociative algebras in physics, 92m:00057 
(Léhmus, J.) see Quasigroups and nonassociative algebras in physics, 92m:00057 
(Zhitomirskii, G.1.) see Theory of semigroups and its applications, 92m:00033 


Items listed otherwise than by author 

Colloquium: ; 
Words, Languages and Combinatorics * Words, languages and combinatorics. 

92m:00061 

Combinatorial theory and related topics * Kumiawaseron to sono shuhen no kenkyd. 
(Japanese) [Combinatorial theory and related topics] 92a:05002 

Kyoto * Words, languages and combinatorics. 92m:00061 

Quasigroups and nonassociative algebras in physics * Ksa3urpynmbi H HeaccolMaTHBHBIe 
anre6ppi B du3uKe. (Russian) [Quasigroups and nonassociative algebras in physics] 
92m:00057 





331 1992 


Seminar: 

Quasigroups and Nonassociative Algebras in Physics * Ksa3urpynnbi H HeaccouMaTHBHbIe 
anre6psi B @usuKe. (Russian) [Quasigroups and nonassociative algebras in physics} 
92m:00057 

Symposium: 
Combinatorial Theory and Related Topics * Kumiawaseron to sono shuhen no kenkya. 
(Japanese) [Combinatorial theory and related topics] 92a:05002 
Tartu * Ksa3urpynnbi H HeaccolmHaTHBHble anre6ppi B pusuKe. (Russian) [Quasigroups and 
nonassociative algebras in physics] 92m:00057 
Theory of semigroups and its applications * Teopua nonyrpynn u ee npunoxenua. Buin. 10. 
(Russian) [Theory of semigroups and its applications. No. 10] 92m:00033 
Words, languages and combinatorics * Words, languages and combinatorics. 92m:00061 


20Axx Foundations 


20A05 Axiomatics and elementary properties 


Dekov, Deko V. The class of all S-pregroups is not finitely axiomatizable. 92j:20002 
Prasad, Damodar (with Singh, Janeshwar) Strongly-solvable groups. 

Singh, Janeshwar see Prasad, Damodar 

Sinha, A. P. (with Sinha, J. K.) On direct product and semi-direct product of groups. 
Sinha, J. K. see Sinha, A. P. 


Items with secondary classifications in 20A05 

Comerford, Leo P., Jr. (with Newman, M. F.) Verbal definitions of operations on groups. 
92i:20035 

Mikhailyuk, E. A. On a generalization of the concept of index for subgroups of free groups. 
(Russian) 92g:20034 

Newman, M. F. see Comerford, Leo P., Jr., 92i:20035 

Siu, Man Keung Which Latin squares are Cayley tables? 92f:05023 


20A10 Metamathematical considerations {For word problems, 
see 20F10.} 


Items with secondary classifications in 20A10 


Baisalov, E.R. Noncoordinatizability of Z? over its socle. (Russian) 92b:03042 
Khusainov, B. M. Positive enumerated models. (Russian) 92m:03068 


20A15 Applications of logic to group theory 


Felgner, Ulrich Pseudo-endliche Gruppen. [Pseudofinite groups] (see 92a:03004) 

Oger, Francis Cancellation and elementary equivalence of finitely generated finiie-by- 
nilpotent groups. 92k:20003 

Poizat, Bruno Equations génériques. [Generic equations] (see 92a:03004) 


Items with secondary classifications in 20A15 

Aguzarov, I. (with Farey, R. E.; Poizat, Bruno) An infinite superstable group has infinitely 
many conjugacy classes. 92m:03044 

Baizhanov, B.S. Relatively categorical, natural and noncoordinatizable models. (Russian) 
92b:03043 

Baudisch, Andreas A construction of superstable NDOP-NOTOP groups. (see 92a:03004) 

— On superstable groups. 92¢:03044 

Belegradek, O. V. Groups elementarily equivalent to UT3(R). (see 92a:03004) 

Brendle, Jérg Cardinal invariants of infinite groups. 92¢:03068 

Bryant, Roger M. (with Groves, J. R. J.) On automorphisms of relatively free groups. 
92h:20040 

Eklof, Paul C. (with Mekler, Alan H.) * Almost free modules. 92e:20001 

Evans, David M. (with Pillay, Anand; Poizat, Bruno) Le groupe dans le groupe. (English 
and Russian summaries) 92i:03034 

Farey, R. E. see Aguzarov, I.; et al., 92m:03044 

Groves, J. R. J. see Bryant, Roger M., 92h:20040 

Lascar, Daniel Autour de la propriété du petit indice. (English summary) [About the small- 
index property] 92f:03029 

Loveys, James Weakly minimal groups of unbounded exponent. 92e:03045 

Mekler, Alan H. see Eklof, Paul C., 92e:20001 

Nesin, Ali On sharply n-transitive superstable groups. 92i:03039 

— Generalized Fitting subgroup of a group of finite Morley rank. 92h:03049 

Newelski, Ludomir On type definable subgroups of a stable group. 92h:03044 

Pillay, Anand see Evans, David M.; et al., 92i:03034 

Poizat, Bruno see Evans, David M.; et al., 92i:03034 and Aguzarov, I.; et al., 92m:03044 

Sabbagh, Gabriel (with Wilson, John S.) Polycyclic groups, finite images, and elementary 
equivalence. 92k:20067 

Shelah, Saharon Cardinal arithmetic for skeptics. 92h:03071 

Tanaka, Katsumi? On locally finite stable groups. 92¢:03047 

Tolstykh, V. A. Some interpretations in the general linear group. (Russian) (see 92g:03005) 

Wagner, Frank O. Small stable groups and generics. 92j:03033 

Wilson, John S. see Sabbagh, Gabriel, 92k:20067 


20Bxx Permutation groups 


20B05 General theory for finite groups 


Bogart, Kenneth P. An obvious proof of Burnside’s lemma. 
Zhu, Ping Tian Finding solutions to cyclic equations in the symmetric group S,,,. (Chinese. 
English summary) 92f:20001 


20B Permutation groups 


Items with secondary classifications in 20B05 
Shalev, Aner Uniserial permutation modules. 92d:20013 


20B07 General theory for infinite groups 


Adeleke, S. A. Torsion-free relatively homogeneous permutation groups. 92j:20003 

Cameron, Peter J. * Oligomorphic permutation groups. 92f:20002 

Camina, Alan R. (with Evans, David M.) Some infinite permutation modules. 92a:20003 

Chatzidakis, Zoé (with Pappas, Peter; Tomkinson, M. J.) Separation theorems for infinite 
permutation groups. 92a:20004 

Evans, David M. see Camina, Alan R., 92a:20003 

Hajnal, Andras A remark on the homogeneity of infinite permutation groups. 92b:20002 

Miller, Régnvaldur G. A note on piecewise automorphism groups of relational systems. 
92b:20003 

Nazarov, M. L. Factor-representations of the infinite spin-symmetric group. (Russian. 
English summary) 92b:20004 

Pappas, Peter see Chatzidakis, Zoé; et al., 92a:20004 

Tomkinson, M. J. see Chatzidakis, Zoé; et al., 92a:20004 

Truss, J. K. Infinite simple permutation groups—a survey. 92h:20005 


Items with secondary classifications in 20B07 


Behrendt, Gerhard Equivalence systems and generalized wreath products. 92b:20032 
Bruyns, P. The number and size of orbits of some permutation groups. 92m:20001 


20B10 Characterization theorems 


Berkovich, Yakov G. Minimal permutation representations of finite groups. II. (Russian) 
92g:20001 


Items with secondary classifications in 20B10 
Maurer, Helmut Eine Charakterisierung der Permutationsgruppe PSL(2, K) iiber einem 
quadratisch abgeschlossenen Kérper K der Charakteristik # 2. (English summary) 


[Characterization of the permutation group PSL(2, K) over a quadratic closed field K of 
characteristic 4 2] 92a:20005 


20B15 Primitive groups 

Forster, Peter (with Kovacs, L.G.) A problem of Wielandt on finite permutation groups. 
92i:20001 

Kovacs, L. G. see Forster, Peter, 92i:20001 

Liebeck, Martin W. (with Saxl, Jan) On point stabilizers in primitive permutation groups. 
92i:20002 

— (with Saxl, Jan) Minimal degrees of primitive permutation groups, with an application to 
monodromy groups of covers of Riemann surfaces. 92f:20003 

Saxi, jan see Liebeck, Martin W., 92f:20003 and 92i:20002 


Items with secondary classifications in 20B15 

Cohen, Stephen D. Permutation polynomials and primitive permutation groups. 92j:11145 
Shalev, Aner Uniserial permutation modules. 92d:20013 

Shchukin, K. K. Simple medial quasigroups. (Russian) 92d:20092 


20B20 Multiply transitive finite groups 


Ihringer, Thomas A remark on clones and permutation groups. 92i:20003 

Maurer, Helmut Eine Charakterisierung der Permutationsgruppe PSL(2, K) iiber einem 
quadratisch abgeschlossenen K6érper K der Charakteristik # 2. (English summary) 
[Characterization of the permutation group PSL(2, K) over a quadratic closed field K of 
characteristic # 2] 92a:20005 


Items with secondary classifications in 20B20 

Delepelaire, Jean-Francois F-groupes de permutations transitifs. (English summary) 
[Transitive F-groups of permutations} 92j:20011 

Hachenberger, Dirk Constructions of large translation nets with nonabelian translation 
groups. 92h:51011 

Liebler, Robert A. The classification of distance-transitive graphs of type q - Kg. 92c:05078 

Nesin, Ali On sharply n-transitive superstable groups. 92i:03039 


20B22 Miultiply transitive infinite groups 


Fiori, Carla (with Quattrocchi, Pasquale) Extensions of sets of k-transitive permutations 
into sets of (k + 1)-transitive permutations. (Italian. English summary) 

Mazurov, Viktor Danilovich Doubly transitive permutation groups. (Russian) 92e:20003 

Quattrocchi, Pasquale see Fiori, Carla 


Items with secondary classifications in 20B22 

Behrendt, Gerhard Some sharply transitive partially ordered sets. 92k:06001 

Droste, Manfred (with Truss, J. K.) Subgroups of small index in ordered permutation 
groups. 92g:06025 

Kerby, William On a class of sharply 3-transitive groups. 92j:12016 

— KT-nearfields of rank 2. 92h:12009 

Truss, J. K. see Droste, Manfred, 92g:06025 


20B25 Finite automorphism groups of algebraic, geometric, or 
combinatorial structures [see also 0SBxx, 12F10, 20G40, 
20H30, 51-XX] 
Buekenhout, Francis The Higman-McLaughlin theorem for flag-transitive linear spaces. 
92a:20006 
Fiol, M. A. (with Serra, O.) Arc-colored line digraphs and their groups. 92k:20004 





20B25 


Nochefranca, Luz R. On an infinite class of nonbipartite and non-Cayley graphs having 2-arc 
transitive automorphism groups. 92k:20005 
Serra, O. see Fiol, M. A., 92k:20004 


Items with secondary classifications in 20B25 

Abatangelo, Vito (with Larato, Bambina; Rosati, L. A.) Unitals in planes derived from 
Hughes planes. 92f:51008 

Artzy, R. Collineations of Benz planes over finite prime fields. 92¢:51026 

Babai, Laszlé6 (with Goodman, Albert J.; Lovasz, Laszl6) Graphs with given automorphism 
group and few edge orbits. 92h:05066 

Barriga, Oscar E. A characterization of Hering’s plane of order 27. 92j:51011 

van Bon, John On distance-transitive graphs and involutions. 92k:05057 

Brand, Neal Polynomial isomorphisms of combinatorial objects. 92d:05070 

Brown, Julia M. Nowlin On abelian collineation groups of finite projective planes. 
92k:51011 

Buekenhout, Francis More geometry for Hering’s 3°: SL(2, 13). 92m:51011 

Burosch, Gustav (with Laborde, Jean-Marie) Aut Gp», for the Hasse graph G,,,, of the 
subword poset B,,, of an m-ary cyclic word of length n. 92b:05045 

Colbourn, Charles J. (with Magliveras, Spyros S.; Stinson, Douglas R.) Steiner triple 
systems of order 19 with nontrivial automorphism group. 92k:05022 

Czerwinski, Terry The collineation groups of the translation planes of order 25. 92i:51013 

Delandtsheer, Anne Dimensional linear spaces whose automorphism group is (line, 
hyperplane)-flag transitive. 92k:51020 

Dempwolff, U. The projective planes of order 16 admitting SL(3, 2). (Serbo-Croatian 
summary) 92k:51012 

Faradzhev, I. A. (with Ivanov, Aleksandr Anatol’evich) Distance-transitive representations 
of groups G with PSL2(q) < G a PI'L2(q). 92¢:05052 

— (with Ivanov, Aleksandr Anatol’evich; Klin, M. Kh.) Galois correspondence between 
permutation groups and cellular rings (association schemes). 92d:05182 

Goncalves, A. T. see Ho, Chat Yin, 92m:51017 

Goodman, Albert J. see Babai, Laszl6; et al., 92h:05066 

Hiramine, Yutaka Factor sets associated with regular collineation groups. 92i:51015 

— (with Johnson, Norman Lloyd!) Generalized André planes of order p‘ that admit a 
homology group of order (p' — 1)/2. 92m:51016 

Ho, Chat Yin (with Goncalves, A. T.) On totally irregular simple collineation groups. 
92m:51017 

Ivanov, Aleksandr Anatol’evich see Faradzhev, I. A.; et al., 92d:05182 and 92e:05052 

Jha, Vikram (with Johnson, Norman Lloyd!) A geometric characterization of generalized 
Desarguesian planes. 92f:51007 

Johnson, Norman Lloyd! Maximal partial spreads and central groups. 92e:51010 

— see also Jha, Vikram, 92f:51007 and Hiramine, Yutaka, 92m:51016 

Kantor, William M. Automorphism groups of some generalized quadrangles. 92m:51009 

Kiss, Gy. Reflections on a class of non-Desarguesian finite affine planes. 92f:51004 

Klin, M. Kh. see Faradzhev, I. A.; et al., 92d:05182 

Kuppuswamy Rao, K. see Narayana Rao, M. L.; et al., 92k:51006 

Laborde, Jean-Marie see Burosch, Gustav, 92b:05045 

Larato, Bambina see Abatangelo, Vito; et al., 92f:51008 

Levasz, Laszl6 see Babai, Laszl6; et al., 92h:05066 

Magliveras, Spyros S. see Colbourn, Charles J.; et al., 92k:05022 

Mandak, Alija On biplanes of order 14. 92a:51007 

Meixner, Thomas Some polar towers. 92i:51023 

Miller, Régnvaldur G. The automorphism groups of regular trees. 92h:20044 

Morton, Margaret J. Classification of 4- and 5-arc-transitive cubic graphs of small girth. 
92e:05053 

— Corrigendum: “Classification of 4- and 5-arc-transitive cubic graphs of small girth” [J. 
Austral. Math. Soc. Ser. A 50 (1991), no. 1, 138-149; MR 92e:05053]. 

Nakagawa, Nobuo Some translation planes of order 11? which admit SL(2,9). 92¢:51013 

Narayana Rao, M. L. (with Kuppuswamy Rao, K.; Subba Rao, G. V.) Translation 
complements of C-planes. V. (French summary) 92k:51006 

O'Keefe, Christine M. (with Penttila, Tim) Hyperovals in PG(2, 16). 92¢:51018 

Penttila, Tim see O’Keefe, Christine M., 92c:51018 

Praeger, Cheryl E. Block-transitive designs and maximal subgroups of finite symmetric 
groups. 92j:05182 

— On minimal symmetric automorphism groups of finite symmetric graphs. 92k:05059 

Quattrocchi, Pasquale (with Rinaldi, Gloria) Automorphisms of (B)-geometries. 
92h:51023 

Rinaldi, Gloria see Quattrocchi, Pasquale, 92h:51023 

Rosati, L. A. see Abatangelo, Vito; et al., 92f:51008 

Sichler, J. (with Tmkova, Véra) On automorphism groups of unary algebras and of their 
Teducts. 92g:08003 

Stinson, Douglas R. see Colbourn, Charles J.; et al., 92k:05022 

Subba Rao, G. V. see Narayana Rao, M. L.; et al., 92k:51006 

Takahashi, H. On the maximum order of the automorphism group of a triconnected planar 
graph. 92c:05079 

Thompson, John G. Groups of genus zero and certain rational functions. 92h:12005 

Trnkova, Véra see Sichler, J., 92g:08003 

Trofimov, V. I. Vertex stabilizers of symmetric graphs. (Russian) (see 92k:20002) 

Weiss, Richard Mark A characterization of the group Co; as a transitive extension of HS. 
92¢:51023 


20B27 Infinite automorphism groups [see also 12F 10] 
Bruyns, P. The number and size of orbits of some permutation groups. 92m:20001 


Items with secondary classifications in 20B27 

Balke, Ludwig * Diskontinuierliche Gruppen als Automorphismengruppen von Pflasterun- 
gen. (German) [Discontinuous groups as automorphism groups of tilings] 92h:52022 

Conder, Marston (with Morton, Margaret J.) A note on groups associated with 4-arc- 
transitive cubic graphs. 92g:05097 

Foreman, Matthew Locally finite groups of permutations of N acting on /©. 92g:03077 


GROUP THEORY AND GENERALIZATIONS 


1992 332 


Imrich, Wilfried (with Seifter, Norbert) A survey on graphs with polynomial growth. 
92j:05090 

Lascar, Daniel Autour de la propriété du petit indice. (English summary) [About the small- 
index property] 92f:03029 

Maurer, Helmut Die von den harmonischen Involutionen einer euklidischen Mébiusebene 
erzeugte Gruppe. (English summary) [The group generated by the harmonic involutions 
of a Euclidean MOébius plane] 92e:51005 

McCleary, Stephen H. Telling left from right. 92d:06039 

Méller, Régnvaldur G. The automorphism groups of regular trees. 92h:20044 

Morton, Margaret J. see Conder, Marston, 92g:05097 

Seifter, Norbert Groups acting on graphs with polynomial growth. 92g:05099 

— see also Imrich, Wilfried, 92j:05090 

Sichler, J. (with Trnkova, Véra) On automorphism groups of unary algebras and of their 
reducts. 92g:08003 

Thomas, Simon Reducts of the random graph. 92m:05092 

Trnkova, Véra see Sichler, J., 92g:08003 

Trofimov, V. I. Vertex stabilizers of graphs with projective suborbits. (Russian) 92i:05107 

Wahling, Heinz Isomorphismen zwischen scharf zweifach transitiven Permutationsgruppen 
und zwischen Kollineationsgruppen affiner Raume. [Isomorphisms between sharply 
doubly transitive permutation groups and between collineation groups of affine spaces] 
92j:51001 

Zickwolff, Monika Darstellung symmetrischer Strukturen durch Transversale. [Representa- 
tion of symmetric structures by transversals] 92j:08002 


20B30 Symmetric groups 


Blessenohl, Dieter see Laue, Hartmut, 92c:20004 

Brown, Ronald Paul Minimal covers of S,, by abelian subgroups and maximal subsets of 
pairwise noncommuting elements. II. 92a:20007 

Etayo Gordejuela, José Javier A note on symmetric and alternating M*-groups. (Spanish. 
English summary) (see 92g:00024) 

Laue, Hartmut (with Blessenohl, Dieter) Symmetric groups and free Lie algebras. 
92c:20004 


Items with secondary classifications in 20B30 

Abello, James The weak Bruhat order of Ss consistent sets, and Catalan numbers. 
92c:90037 

Bergeron, Francois (with Yeh, Yeong Nan) The factoriality of the ring of S-species. 
92b:05080 

Bremner, Murray R. Structure of the Lie algebra of polynomial vector fields on the Riemann 
sphere with three punctures. 92i:17030 

Guralnick, Robert M. (with Kimmerle, Wolfgang) On the cohomology of alternating and 
symmetric groups and decomposition of relation modules. 924:20075 

Jézefiak, Tadeusz (with Pragacz, Piotr) A determinantal formula for skew Q-functions. 
92d:05175 

Kimmerle, Wolfgang see Guralnick, Robert M., 92d:20075 

Luthar, I.S. (with Trama, Poonam) Zassenhaus conjecture for S;. 92g:20003 

Michler, Gerhard O. (with Olsson, Jorn B.) Weights for covering groups of symmetric and 
alternating groups, p 4 2. 92f:20014 

Olsson, Jorn B. see Michler, Gerhard O., 92f:20014 

Pragacz, Piotr see Jézefiak, Tadeusz, 92d:05175 

Siu, Man Keung Which Latin squares are Cayley tables? 92f:05023 

Trama, Poonam see Luthar, I. S., 92g:20003 

Yeh, Yeong Nan see Bergeron, Francois, 92b:05080 


20B35 Subgroups of symmetric groups 


Casse, L.R. A. see Oxenham, M. G., 92k:20006 

Macpherson, Dugald (with Neumann, Peter M.) Subgroups of infinite symmetric groups. 
92d:20006 

— (with Praeger, Cheryl E.) Maximal subgroups of infinite symmetric groups. 92d:20007 

Neumann, Peter M. see Macpherson, Dugald, 92d:20006 

Oxenham, M. G. (with Casse, L.R. A.) On a geometric representation of the subgroups of 
index 6 in Ss. 92k:20006 

Praeger, Cheryl E. see Macpherson, Dugald, 92d:20007 


Items with secondary classifications in 20B35 

Bjérner, Anders (with Wachs, Michelle L.) Permutation statistics and linear extensions of 
posets. 92m:06010 

Cameron, Peter J. * Oligomorphic permutation groups. 92f:20002 

Edidin, Dan The monodromy of certain families of linear series is at least the alternating 
group. 92¢:14018 

Girstmair, Kurt Specht modules and resolvents of algebraic equations. 92j:12006 

Higman, Graham Transversals and conjugacy in the group of recursive permutations. 
92d:03028 

Quattrocchi, Pasquale (with Rinaldi, Gloria) Automorphisms of (B)-geometries. 
92h:51023 

Rinaldi, Gloria see Quattrocchi, Pasquale, 92h:51023 

Wachs, Michelle L. see Bjérner, Anders, 92m:06010 


20B40 Computational methods 


Atkinson, M. D. (with Neumann, Peter M.) Computing Sylow subgroups of permutation 
groups. 92h:20006 

Butler, Gregory (with Cannon, John J.) Computing Sylow subgroups of permutation groups 
using homomorphic images of centralizers. 92m:20002 

Cameron, Peter J. (with Cannon, John J.) Fast recognition of doubly transitive groups. 
92m:20003 

Cannon, John J. see Butler, Gregory, 92m:20002 and Cameron, Peter J., 92m:20003 

Conder, Marston Experimental algebra. 92k:20007 





333 1992 


Hager, R. (with Kerber, Adalbert; Laue, R.; Moser, D.; Weber, Wolfgang Peter) Construc- 
tion of orbit representatives. 92b:20005 

Kantor, William M. Finding Sylow normalizers in polynomial time. 92d:20008 

Kerber, Adalbert see Hager, R.; et al., 92b:20005 

Laue, R. see Hager, R.; et al., 92b:20005 

Moser, D. see Hager, R.; et al., 92b:20005 

Neumann, Peter M. see Atkinson, M. D., 92h:20006 

Weber, Wolfgang Peter see Hager, R.; et al., 92b:20005 


Items with secondary classifications in 20B40 

Diaconis, Persi (with Rockmore, Daniel) Efficient computation of the Fourier transform on 
finite groups. 92g:20024 

Leedham-Green, Charles R. (with Praeger, Cheryl E.; Soicher, Leonard H.) Computing with 
group homomorphisms. 92m:68053 

Praeger, Cheryl E. see Leedham-Green, Charles R.; et al., 92m:68053 

Rockmore, Daniel see Diaconis, Persi, 92g:20024 

Soicher, Leonard H. see Leedham-Green, Charles R.; et al., 92m:68053 


20B99 None of the above, but in this section 


Behrendt, Gerhard Sharply transitive posets with free abelian automorphism group. 
92¢:20005 

Kucharzewski, Mieczystaw (with Szocinski, Brunon; Zabka, Marek) On the relations 
between abstract and geometrical equivalence of abstract objects. 92m:20004 

Mantaci, Roberto Anti-exceedances in permutation groups. 92h:20007 

Szocitiski, Brunon see Kucharzewski, Mieczystaw; et al., 92m:20004 

Zabka, Marek see Kucharzewski, Mieczystaw; et al., 92m:20004 

Zhanabergenova, G. K. Orbits of k-exponentiations with the alternating group. (Russian. 
Kazakh summary) 92k:20008 


Items with secondary classifications in 20B99 

Droste, Manfred (with Shortt, R. M.) Commutators in groups of order-preserving 
permutations. 92¢:06034 

Giraudet, M. (with Lucas, F.) Groupes 4 moitié ordonnés. (English summary) [Half- 
ordered groups] 92m:06029 

Ihringer, Thomas Multiplication groups of quasigroups: elementary combinatorics. 
92k:20131 

Lucas, F. see Giraudet, M., 92m:06029 

Magliveras, Spyros S. (with Memon, Nasir D.) Properties of cryptosystem PGM. 
92d:94019 

Memon, Nasir D. see Magliveras, Spyros S., 92d:94019 

Morozov, A.S. On a problem of Higman. (Russian) 92k:20065 

Ramachandran, P.T. Groups of homeomorphisms and normal subgroups of the group of 
permutations. 92k:54046 

Shortt, R. M. see Droste, Manfred, 92e:06034 

Shrimpton, John Some groups related to the symmetry of a directed graph. 92k:05109 


20Cxx Representation theory of groups [see also 19A22 
(for representation rings and Burnside rings) | 
Benson, David John * Representations and cohomology. I. 92m:20005 


Items with secondary classifications in 20Cxx 

(Chubarov, I. A.) see Feit, Walter, 92d:20002 

Feit, Walter * Teopua npezcTaBneHHit KoHeyHbIX rpynn. (Russian) [The representation 
theory of finite groups] 92d:20002 

(Gres’, P.G.) see Feit, Walter, 92d:20002 

(Kostrikin, Aleksei Ivanovich) see Feit, Walter, 92d:20002 


20C05 Group rings of finite groups and their modules 
[see also 16S34] 


Arad, Zvi (with Blau, Harvey I.) An infinite family of nonabelian simple table algebras not 
induced by finite nonabelian simple groups. 92h:20008 

Banu, Nasima Akter On the isomorphism of group algebras of groups of order 16 p. (Bengali 
summary) 92b:20006 

Bhandari, Ashwani K. On the generators of subgroups of unit groups of group rings. 
92m:20006 

Blau, Harvey I. see Arad, Zvi, 92h:20008 

Bovdi, A. A. (with Khripta, I. I.) The Engel property of the multiplicative group of a group 
algebra. (Russian) 92g:20002 

Espuelas, Alberto Regular orbits on symplectic modules. 92b:20007 

Fukushima, Hiroshi On groups G of p-length 2 whose nilpotency indices of J(KG) are 
a(p — 1) +1. 92m:20007 

Giambruno, Antonio (with Valenti, Angela; Sehgal, Sudarshan K.) Automorphisms of the 
integral group rings of some wreath products. 92c:20006 

Gupta, Narain The dimension subgroup conjecture. 92d:20009 

Hoechsmann, Klaus (with Ritter, Jiirgen) Constructible units in abelian p-group rings. 
92a:20008 

Huang, Guo Qiang On interior G-algebras. 92k:20009 

Jespers, Eric (with Leal, Guilherme) Describing units of integral group rings of some 2- 
groups. 92f:20004 

Khripta, I. I. see Bovdi, A. A., 92g:20002 

Klingler, Lee Construction of a counterexample to a conjecture of Zassenhaus. 92i:20004 

Laubenbacher, Reinhard C. (with Webb, David L.) The structure of the integral group ring 
of a finite group with cyclic Sylow subgroups. 92f:20005 

Leal, Guilherme see Jespers, Eric, 92f:20004 

Luthar, I.S. (with Trama, Poonam) Zassenhaus conjecture for certain integral group rings. 
92b:20008 


20C Representation theory of groups 


— (with Trama, Poonam) Zassenhaus conjecture for S;. 92g:20003 

Mann, Avinoam Wreath products in modular group rings. 92i:20005 

Meierfrankenfeld, Ulrich A characterization of the spinmodule for 2- A,. 92i:20006 

Rips, Eliyahu (with Shalev, Aner) Lie properties of modular group algebras. (see 
92¢:20003) 

Ritter, Jiirgen (with Sehgal, Sudarshan K.) Construction of units in group rings of 

ial and sy ic groups. 92i:20007 

— see also Hoechsmann, Klaus, 92a:20008 

Roggenkamp, Klaus W. Observations on a conjecture of Hans Zassenhaus. 92g:20004 

Schmid, Peter Clifford theory and tensor induction. 92c:20007 

Sehgal, Sudarshan K. Units of integral group rings—a survey. 92c:20008 

— see also Giambruno, Antonio; et al., 92c:20006 and Ritter, Jiirgen, 92i:20007 

Shalev, Aner Lie dimension subgroups, Lie nilpotency indices, and the exponent of the 
group of normalized units. 92b:20009 

— Meta-abelian unit groups of group algebras are usually abelian. 92g:20005 

— see also Rips, Eliyahu, (92c:20003) 

Shpil'rain, V. E. On the centers of free central extensions of some groups. 92a:20009 

Siegel, Stephen Projective modules for Ag in characteristic three. 92g:20006 

Strunkov, S. P. On the spectrum of sums of generators of a finite group. (Russian) 
92b:20010 

Trama, Poonam see Luthar, I. S., 92b:20008 and 92g:20003 

Valenti, Angela see Giambruno, Antonio; et al., 92c:20006 

Vasantha, W. B. A note on the mod p-envelope of a cyclic group. 

Webb, David L. see Laubenbacher, Reinhard C., 92f:20005 

Weiss, Alfred R. Torsion units in integral group rings. 92¢:20009 

Zakhryamin, E. A. An analogue of Sjogren’s theorem for generalized dimension subgroups. 
(Russian) (see 92c:00016) 





Items with secondary classifications in 20C05 

Bessenrodt, Christine The Auslander-Reiten quiver of a modular group algebra revisited. 
92e:16012 

Bhandari, Ashwani K. (with Sehgal, Sudarshan K.) An induction theorem for units of p- 
adic group rings. 92d:16035 

Boston, Nigel (with Lenstra, Hendrik W., Jr.; Ribet, Kenneth A.) Quotients of group rings 
arising from two-dimensional representations. (French summary) 92c:11057 

Espuelas, Alberto Large character degrees of groups of odd order. 92¢:20010 

Fernandes, Nair Alexandre A characterization of units in ZD,,. 92k:16036 

Goodaire, Edgar G. (with Jespers, Eric; Parmenter, M. M.) Determining units in some 
integral group rings. 92a:16040 

Gupta, Narain A theorem of Sjogren and Hartley on dimension subgroups. 92a:20031 

Hales, A. W. (with Passi, I. B.S.) Integral group rings with Jordan decomposition. 
92h:16027 

Jespers, Eric see Goodaire, Edgar G.; et al., 92a:16040 

Karan, Ram (with Vermani, L. R.) Corrigendum: “Augmentation quotients of integral 
group rings. II” [J. Pure Appl. Algebra 65 (1990), no. 3, 253-262; MR 91h:16048). 
92m:16041 

Klasen, Wolfgang (with Schmid, Peter) Induced crossed products. 92a:16031 

Kiilshammer, Burkhard Group-theoretical descriptions of ring-theoretical invariants of 
group algebras. 92d:16037 

Lenstra, Hendrik W., Jr. see Boston, Nigel; et al., 92c:11057 

Mann, Avinoam (with Shalev, Aner) The nilpotency class of the unit group of a modular 
group algebra. II. 92a:16030 

Nelis, Peter The Schur group conjecture for the ring of integers of a number field. 
92e:11118 

Ninomiya, Yasushi (with Wada, Tomoyuki) Cartan matrices for blocks of finite p-solvable 
groups with two simple modules. 92g:20019 

Parmenter, M. M. see Goodaire, Edgar G.; et al., 92a:16040 

Parvathi, S. Prime torsion theories of rings with finite group actions, group graded rings and 
their smash products. 92m:16064 

Passi, I. B.S. see Hales, A. W., 92h:16027 

Ribet, Kenneth A. see Boston, Nigel; et al., 92c:11057 

Roggenkamp, Klaus W. The isomorphism problem and related topics. 92e:20004 

Schaps, Mary Integral and p-modular semisimple deformations for p-solvable groups of 
finite representation type. 92b:16067 

Schmid, Peter see Klasen, Wolfgang, 92a:16031 

Schneider, Gerhard J. A. Computing with endomorphism rings of modular representations. 
92a:20015 

Sehgal, Sudarshan K. see Bhandari, Ashwani K., 92d:16035 

Shalev, Aner The nilpotency class of the unit group of a modular group algebra. I. 
92a:16029 

— Large wreath products in modular group rings. 92d:16038 

— see also Mann, Avinoam, 92a:16030 

Vasantha, W. B. Semi-idempotents in the group ring of a cyclic group over the field of 
rationals. 92m:16042 

Vermani, L. R. see Karan, Ram, 92m:16041 

Wada, Tomoyuki see Ninomiya, Yasushi, 92g:20019 

Yamin, Mohammad Relative relation modules of finite groups. 92m:16043 

Zhu, Lie! S-independent set and the minimum distance of abelian codes. 92m:94024 


20C07 Group rings of infinite groups and their modules 
[see also 16834] 


Gupta, Narain Integral dimension subgroups. 92h:20009 

— On groups without dimension property. 92j:20004 

— A solution of the dimension subgroup problem. 92k:20010 

Roggenkamp, Klaus W. The isomorphism problem and related topics. 92¢:20004 
Schafer, James A. Traces and the Bass conjecture. 92h:20010 


Items with secondary classifications in 20C07 
Bovdi, A. A. (with Khripta, I. I.) The Engel property of the multiplicative group of a group 





20C07 


algebra. (Russian) 92f:20038 

Brown, Kenneth A. (with Marubayashi, Hidetoshi; Smith, Patrick F.) Group rings which are 
v-HC orders and Krull orders. 92j:16012 

Chatzidakis, Zoé (with Pappas, Peter) Units in abelian group rings. 92h:16026 

Farber, M. Sh. Hermitian forms on link modules. 92j:57014 

Hacque, Michel Produits croisés mixtes: extensions de groupes et extensions ¢’anneaux. 
[Mixed crossed products: extensions of groups and rings] 92k:16042 

Hog-Angeloni, Cynthia A short topological proof of Cohn’s theorem. 92e:57003 

Karan, Ram (with Vermani, L. R.) Corrigendum: “Augmentation quotients of integral 
group rings. II” [J. Pure Appl. Algebra 65 (1990), no. 3, 253-262; MR 91h:16048}. 
92m:16041 

Khripta, I. I. see Bovdi, A. A., 92f:20038 

Klasen, Wolfgang (with Schmid, Peter) Induced crossed products. 92a:16031 

Kilshammer, Burkhard Group-theoretical descriptions of ring-theoretical invariants of 
group algebras. 92d:16037 

Lichtman, A. I. Trace functions in the ring of fractions of polycyclic group rings. 92:16034 

Linnell, P. A. Zero divisors and group von Neumann algebras. 92e:22013 

Marubayashi, Hidetoshi see Brown, Kenneth A.; et al., 92j:16012 

Nachev, N. A. Isomorphism of the group algebras of the abelian p-groups over the ring 
Z[1/p]. 92b:16059 

Pappas, Peter see Chatzidakis, Zoé, 92h:16026 

Riley, David M. Group rings with hypercentral unit groups. 92h:16028 

Rips, Eliyahu (with Shalev, Aner) Lie properties of modular group algebras. (see 
92c:20003) 

— (with Shalev, Aner) The Baer condition for group algebras. 92g:17008 

Rosenmann, Amnon (with Rosset, Shmuel) Essential and inessential fractal ideals in the 
group ring of a free group. 92k:16038 

Rosset, Shmuel see Rosenmann, Amnon, 92k:16038 

Schmid, Peter see Klasen, Wolfgang, 92a:16031 

Shalev, Aner Large wreath products in modular group rings. 92d:16038 

— see also Rips, Eliyahu, 92g:17008 and (92c:20003) 

Smith, Patrick F. see Brown, Kenneth A.,; et al., 92j:16012 

Vasantha, W. B. On group rings which are p-rings. 92g:16040 

Vermani, L.R. see Karan, Ram, 92m:16041 

Wehrfritz, B. A. F. Polycyclic group algebras and theorems of Harper and Lichtman. 
92k:20096 

— Some soluble groups of finite rank and some related matrix groups. (Russian and 
Ukrainian summaries) 92m:20037 


20C10 Integral representations of finite groups 


Deo, Satya (with Varadarajan, K.) Isomorphic Burnside rings. 92d:20010 

Kimmerle, Wolfgang Beitrage zur ganzzahligen Darstellungstheorie endlicher Gruppen. 
[Contributions to integral representation theory of finite groups] 92h:20011 

Roggenkamp, Kiaus W. (with Tayior, Martin J.) * Group rings and class groups. 
92m:20008 

Taylor, Martin J. see Roggenkamp, Klaus W., 92m:20008 

Varadarajan, K. see Deo, Satya, 92d:20010 


Items with secondary classifications in 20C10 

Gross, Benedict H. Group representations and lattices. 92a:11077 

Gudivok, P. M. (with Pogorilyak, E. Ya.) Modular representations of finite groups over 
integral domains. (Russian) 92c:20019 

Holland, David Homological equivalences of modules and their projective invariants. 
92i:11120 

Jespers, Eric (with Leal, Guilherme) Describing units of integral group rings of some 2- 
groups. 92f:20004 

Laubenbacher, Reinhard C. (with Webb, David L.) The structure of the integral group ring 
of a finite group with cyclic Sylow subgroups. 92f:20005 

Leal, Guilherme see Jespers, Eric, 92f:20004 

Nelis, Peter Schur and projective Schur groups of number rings. 92g:11112 

Pogorilyak, E. Ya. see Gudivok, P. M., 92c:20019 

Webb, David L. see Laubenbacher, Reinhard C., 92f:20005 

Wilson, S. M. J. A projective invariant comparing rings of integers in wildly ramified 
extensions. 92a:11140 


20C11 p-adic representations of finite groups 


Gudivok, P.M. (with Oros, V. M.; Roiter, A. V.) Representations of finite groups over the 
ring of formal power series with integer p-adic coefficients. (Russian) 92h:20012 

Linckelmann, Markus Derived equivalence for cyclic blocks over a P-adic ring. 92g:20007 

Oreos, V.M. see Gudivok, P. M.; et al., 92h:20012 

Roiter, A. V. see Gudivok, P. M.; et al., 92h:20012 


Items with secondary classifications in 20C11 


Marszaiek, Roman Indecomposable Z,[G]-lattices for a class of metabelian groups. 
92i:11122 


20C12 Integral representations of infinite groups 


Items with secondary classifications in 20C12 


Kropholler, P. H. (with Talelli, Olympia) On a property of fundamental groups of graphs of 
finite groups. 92h:57003 

Shpil’rain, V. E. On the centers of free central extensions of some groups. 92a:20009 

Talelli, Olympia see Kropholler, P. H., 92h:57003 


20C15 Ordinary representations and characters 


Abduh, A. (with List, R. J.) On the characters of extensions of extraspecial groups. (Italian 
summary) 92g:20008 


GROUP THEORY AND GENERALIZATIONS 


1992 334 


Al-Ali, M. I. M. M. On irreducible characters of the maximal subgroup p?: GL2(p)/(—1) of 
the projective symplectic group PSP4(p)—p-odd prime. 92g:20009 

Alvis, Dean L. (with Barry, Michael J. J.) Character degrees of simple groups. 92f:20006 

Arad, Zvi (with Fisman, Elsa) On table algebras, C-algebras, and applications to finite 
group theory. 92k:20011 

— (with Blau, Harvey I.) On table algebras and applications to finite group theory. 
92£:20007 

— (with Fisman, Elsa; Blau, Harvey I.) Table algebras and applications to products of 
characters in finite groups. 92f:20008 

Bannuscher, Wolfgang Uber Gruppen mit wenigen irreduziblen Charakteren. I, II. [On 
groups with few irreducible characters. I, II] 92i:20008 

— Uber Gruppen mit genau zwei irreduziblen Charaktergraden. I, II. [On groups with 
exactly two irreducible character degrees. I, II] 92k:20012 

Barry, Michael J.J. see Alvis, Dean L., 92f:20006 

Bayar, Ergiin see Terzi, M. Sabri, 92c:20014 

Belonogov, V. A. On zeros in the character table of a finite group. (Russian) (see 92k:20002) 

Berger, T. R. (with Hargraves, B. B.; Shelton, C.) The regular module problem. II. 
92k:20013b 

— (with Hargraves, B. B.; Shelton, C.) The regular module problem. III. 92k:20013c 

— (with Hargraves, B. B.; Shelton, C.) The regular module problem. I. 92k:20013a 

Berkovich, Yakov G. Counterexamples to a conjecture about the sum of degrees of 
irreducible characters. 92i:20009 

Bertram, Edward A. (with Herzog, Marcel) Bounds on character degrees and class numbers 
of finite nonabelian simple groups. 92h:20013 

Blau, Harvey I. see Arad, Zvi, 92f:20007 and 92f:20008 

Caride, A. O. (with Zanette, S. I.; Nogueira, S. R. A.) On the characters of solvable finite 
groups. 92i:20010 

Curtis, Charles W. A century of representation theory of finite groups. 92b:20011 

Doeraene, J. P. (with lommi Amunategui, Godofredo) A branching rule for the induced 
characters of the Weyl groups of SO(2n + 1) and Sp(2n). 92i:20011 

Espuelas, Alberto Large character degrees of groups of odd order. 92c:20010 

Fischer, Bernd Clifford-matrices. 92i:20012 

Fisman, Elsa see Arad, Zvi; et al., 92f:20008 and 92k:20011 

Gluck, David A conjecture about character degrees of solvable groups. 92g:20010 

— Character value estimates for groups of Lie type. 92k:20014 

Gordeev, S. R. The index of operators with shift, and cyclic subgroups. (Russian) 
92a:20010 

Gutiérrez-Barrios, Lourdes (with Rosenbaum, Kurt) Uber die irreduziblen Darstellungen 
der verallgemeinerten Quaternionengruppe. [On irreducible representations of general- 
ized quaternion groups] 92b:20012 

Givzel, Erhan Les représentations irréductibles complexes des groupes SL(3, q), PSL(3, q). 
(Turkish summary) [Complex irreducible representations of the groups SL(3, q), 
PSL(3,q)] 92b:20013 

Hargraves, B. B. see Berger, T. R.; et al., 92k:20013a; 92k:20013b and 92k:20013c 

Herzog, Marcel see Bertram, Edward A., $2h:20013 

Higgs, R. J. On projective characters of prime degree. 92g:20011 

Horvath, Erzsébet Bounding functions concerning character degrees of solvable groups. 
92£:20009 

Huppert, Bertram Research in representation theory at Mainz (1984-1990). 92¢:20011 

Iommi Amunategui, Godofredo Une propriété arithmétique des représentations du groupe 
unitaire et du groupe symplectique. [An arithmetical property of the representations of 
the unitary group and the symplectic group] 92j:20005 

— see also Doeraene, J. P., 92i:20011 

King, Ronald Curtis (with Wybourne, Brian G.) Characters of Hecke algebras H,(q) of type 
An-1. 924:20011 

Kovacs, L.G. On tensor induction of group representations. 92f:20010 

Kuisch, Eric B. On the construction of matrix representations and their extensions. II. 
92g:20012 

List, R. J. see Abduh, A., 92g:20008 

Manz, Olaf Some new developments and open questions in the character theory of finite 
groups. 92¢:20012 

Merris, Russell Independent sets for irreducible characters of finite groups. 

Navarro, Gabriel Characters and the generalized Fitting subgroup. (Spanish) (see 
92g:00024) 

— Fong characters and correspondences in 2-separable groups. 92g:20013 

Nogueira, S. R. A. see Caride, A. O.; et al., 92i:20010 

Nozawa, Shei On groups with a self-centralizing Sylow p-subgroup. 92f:20011 

Obata, Nobuaki Construction of irreducible unitary representations of amalgams of discrete 
abelian groups. 92c:20013 

Rosenbaum, Kurt see Gutiérrez-Barrios, Lourdes, 92b:20012 

Rosenberger, Gerhard Faithful linear representations and residual finiteness of some 
products of cyclics with one relation. (Russian) 92g:20014 

Ryan, Philip D. Representations of Weyl groups of type B induced from centralisers of 
involutions. 92h:20014 

Shahriari, Shahriar On central type factor groups. 92i:20013 

Shelton, C. see Berger, T. R.; et al., 92k:20013a; 92k:20013b and 92k:20013c 

Smith, Tara L. Generalized Clifford-Littlkewood-Eckmann groups. II. Linear representations 
and applications. 92¢:20020 

Strunkov, S. P. Decomposition of the regular representation of a finite group with two 
generators. (Russian) 92f:20012 

— Generalizations of Euler’s divisibility theorem and other arithmetic properties of 
representations of finite permutation groups. (Russian) 92g:20015 

Symonds, Peter A splitting principle for group representations. 92h:20015 

Terzi, M. Sabri (with Bayar, Ergiin) On the generalized metabelian groups. (Turkish 
summary) 92c:20014 

Willems, Wolfgang Duality and forms in representation theory. 92¢:20015 

Wybourne, Brian G. see King, Ronald Curtis, 92d:20011 

Yamauchi, Ken’ichi On the extensions of group representations over arbitrary fields. 
92c:20016 

Zanette, S.1. see Caride, A. O.; et al., 92i:20010 





335 1992 


Zhang, Ji Ping On linear groups of degrees at most |P| — 1. 92k:20015 
— Complex linear groups of degree at most |P| — 2. 92b:20014 
Zisser, Ilan The product of all the irreducible characters of a finite simple group. 92e:20005 


Items with secondary classifications in 20C15 


Barvinok, A. I. Problems of combinatorial optimization, statistical sums and representa- 
tions of the general linear group. (Russian) 92g:90129 

Carter, R. W. Deligne-Lusztig theory and block theory. 92g:20062 

Castella, D. Birégularité des anneaux de groupes gauches et des extensions libérales. 
[Biregularity of skew group rings and liberal extensions] 92k:16041 

Chillag, David Nonnegative matrices, Brauer characters, normal subsets, and powers of 
representation modules. 92h:20017 

Diaconis, Persi Patterned matrices. (see 92a:15001) 

Fujita, Shinsaku * Symmetry and combinatorial enumeration in chemistry. 92k:05007 

Gilmore, Robert (with Katriel, Jacob) Clebsch-Gordan series as a complete set of commut- 
ing operators. 92m:81078 

Glazebrook, James F. (with Grayson, D. R.; Hewitt, P. R.) Galois representations on 
holomorphic differentials. 92j:14032 

Gonzalez-Lorca, Jorge Descente de Shintani pour GL(2, F,). (English summary) [The 
Shintani descent for GL(2,F,)] 92k:20083 

Grayson, D. R. see Glazebrook, James F ; et al., 92j:14032 

Hewitt, P.R. see Glazebrook, James F.; et al., 92j:14032 

Inglis, N. F. J. (with Saxl, Jan) An explicit model for the complex representations of the 
finite general linear groups. 92j:20039 

Kadets, M.I. (with Lyubich, Yu. I.) On the relations between different forms of almost 
periodicity of representations of groups. (Russian) 92¢:43006 

Katriel, Jacob see Gilmore, Robert, 92m:81078 

Lusztig, George Symmetric spaces over a finite field. 92¢:20034 

Lyubich, Yu. I. see Kadets, M. I., 92¢:43006 

Mason, Geoffrey Elliptic systems and the eta-function. 92b:11026 

Nakada, Yasumasa (with Shinoda, Ken-ichi) The characters of a maximal parabolic 
subgroup of GL, (F,). 92d:20070 

Okada, Soichi A Robinson-Schensted-type algorithm for SO(2n,C). 92k:05133 

de la Peta, José A. The Weyl group of a wild graph. 92m:16020 

Saxl, Jan see Inglis, N. F. J., 92j:20039 

Shinoda, Ken-ichi see Nakada, Yasumasa, 92d:20070 

Stanley, Richard P. Log-concave and unimodal sequences in algebra, combinatorics, and 
geometry. 92e:05124 

Van der Jeugt, Joris An algorithm for characters of Hecke algebras H,,(q) of type An—-1. 
92i:05224 

Wang, You-Qiang A note on Brauer character degrees of solvable groups. 92h:20026 


Zalesskii, A. E. Spectra of p-elements in representations of the group SL,,(p*). (Russian) 
92a:20046 


20C20 Modular representations and characters 


Alperin, J. L. A Lie approach to finite groups. 92a:20011 

Arnold, James E. The permutation projective dimension of the quaternionic group. 
92d:20012 

Berkovich, Yakov G. (with Chillag, David; Herzog, Marcel) Finite groups in which the 
degrees of the nonlinear irreducible characters are distinct. 92j:20006 

Bessenrodt, Christine Modular representation theory for blocks with cyclic defect groups via 
the Auslander-Reiten quiver. 92h:20016 

Bouc, S. Projecteurs dans l’anneau de Burnside, projecteurs dans I’anneau de Green, et 
modules de Steinberg généralisés. [Projectors in the Burnside ring, projectors in the Green 
ring, and generalized Steinberg modules] 92k:20016 

Chillag, David Nonnegative matrices, Brauer characters, normal subsets, and powers of 
representation modules. 92h:20017 

— see also Berkovich, Yakov G.; et al., 92j:20006 

Dipper, Richard Polynomial representations of finite general linear groups in nondescribing 
characteristic. 92h:20018 

Enguehard, Michel Isométries parfaites entre blocs de groupes linéaires ou unitaires. 
[Perfect isometries between blocks of linear or unitary groups] 92¢:20017 

Espuelas, Alberto (with Navarro, Gabriel) Blocks of small defect. 92g:20016 

Geck, Meinolf (with Hiss, Gerhard) Basic sets of Brauer characters of finite groups of Lie 
type. 92e:20006 

— On the decomposition numbers of the finite unitary groups in nondefining characteristic. 
92£:20013 

Gres’, P.G. Reduction theorems for Brauer’s conjecture on the number of characters in a p- 
block. (Russian) 92c:20018 

Gudivok, P.M. (with Pogorilyak, E. Ya.) Modular representations of finite groups over 
integral domains. (Russian) 92¢:20019 

Hanaki, Akihide (with Hida, Akihiko) Modular representation of finite solvable groups 
(Mp-groups and related topics). (see 92i:16002) 

Herzog, Marcel see Berkovich, Yakov G.; et al., 92j:20006 

Hida, Akihiko On p-radical blocks of finite groups. 92c:20020 

— see also Hanaki, Akihide, (92i:16002) 

Hiss, Gerhard The Brauer trees of the Ree groups. 92h:20019 

— (with Lux, Klaus; Parker, Richard A.) The 5-modular characters of the McLaughlin group 
and its covering group. 92g:20017 

— see also Geck, Meinolf, 92e:20006 

Ikeda, Tadashi On defect groups of interior G-algebras and vertices of modules. 92a:20012 

Koshitani, Shigeo On p-radical groups in representation theory of finite groups. 92m:20009 

Kouwenhoven, Frank M. The A-structure of the Green ring of GL(2, F,) in characteristic p. 
1, I, 11, IV. 92i:20014 

Kiilshammer, Burkhard * Lectures on block theory. 92h:20020 

— The principal block idempotent. 92c:20021 

Lux, Klaus see Hiss, Gerhard; et al., 92g:20017 

Michler, Gerhard O. Contributions to modular representation theory of finite groups. 
92g:20018 


20C Representation theory of groups 


20C20 


— (with Olsson, Jorn B.) Weights for covering groups of symmetric and alternating groups, 
p #2. 92f:20014 

Navarro, Gabriel see Espuelas, Alberto, 92g:20016 

Ninomiya, Yasushi Structure of p-solvable groups with three p-regular classes. 92h:20021 

— (with Wada, Tomoyuki) Cartan matrices for blocks of finite p-solvable groups with two 
simple modules. 92g:20019 

Nozawa, Sohei Nonexistence of a finite group with a specified 7-block. 92a:20013 

Okuyama, Tetsuro (with Sasaki, Hiroki) Periodic modules of large periods for metacyclic 
p-groups. 92k:20017 

Olsson, Jorn B. see Michler, Gerhard O., 92f:20014 

Parker, Richard A. see Hiss, Gerhard; et al., 92g:20017 

Pazderski, Gerhard (with Tiedt, Gunter) On groups with extremal p-blocks. 92g:20020 

Pogorilyak, E. Ya. see Gudivok, P. M., 92c:20019 

Puig, Lluis Algébres de source de certains blocs des groupes de Chevalley. (English 
summary) [Source algebras of some blocks of Chevalley groups] 92e:20007 

— Affirmative answer to a question of Feit. 92a:20014 

— Une correspondance de modules pour les blocs a groupes de défaut abéliens. (English 
summary) [A module correspondence for blocks with abelian defect groups] 92¢:20022 

Raggi-Cardenas, Alberto Primordial subgroups for mod(kG). 92¢:20023 

Robinson, Geoffrey R. On the number of characters in a block. 92h:20022a 

— Corrigendum: “On the number of characters in a block”. 92h:20022b 

Sasaki, Hiroki see Okuyama, Tetsuro, 92k:20017 

Scopes, Joanna Cartan matrices and Morita equivalence for blocks of the symmetric groups. 
92h:20023 

Shalev, Aner Uniserial permutation modules. 92d:20013 

Sin, Peter (with Willems, Wolfgang) G-invariant quadratic forms. 92h:20024 

Strunkov, S. P. Some conditions for the existence of p-blocks of defect 0 in finite groups. 
(Russian) 92¢:20024 

Thévenaz, Jacques Defect theory for maximal ideals and simple functors. 92h:20025 

Tiedt, Gunter Uber den Trager von Blécken. [On the support of blocks] 92i:20015 

— see aiso Pazderski, Gerhard, 92g:20020 

Tsushima, Yukio On certain projective modules for finite groups of Lie type. 92¢:20025 

Wada, Tomoyuki see Ninomiya, Yasushi, 92g:20019 

Wang, You-Qiang A note on Brauer character degrees of solvable groups. 92h:20026 

— The p-parts of Brauer character degrees in p-solvable groups. 92b:20015 

Watanabe, Atumi Notes on p-blocks of characters of finite groups. 92i:20016 

— Note on a p-block of a finite group with abelian defect group. II. 92d:20014 

Willems, Wolfgang On irreducible faithful modules and their cohomology. 92d:20015 

— see also Sin, Peter, 92h:20024 

Wilson, Robert A. The 2- and 3-modular characters of J3, its covering group and automor- 
phism group. 92b:20016 

Zhou, Xiaoming On the decomposition map of Grothendieck groups. 92b:20017 


Items with secondary classifications in 20C20 


Adem, Alejandro Cohomological nonvanishing for modules over p-groups. 92h:20079 

Assadi, Amir H. Permutation complexes and modular representation theory. 92h:20080 

Barriga, Oscar E. (with Mason, Geoffrey) Spread-invariant representations of L2(2") anda 
characterization of some Ott-Schaefer planes. 92c:51011 

Baumann, B. Free pro-p groups with operators. 92m:20021 

Bessenrodt, Christine Endotrivial modules and the Auslander-Reiten quiver. 92d:16019 

Carter, R. W. Deligne-Lusztig theory and block theory. 92g:20062 

Chlebowitz, M. (with Kiilshammer, Burkhard) Symmetric local algebras with 5- 
dimensional center. 92e:16020 

Erdmann, Karin On Auslander-Reiten components for wild blocks. 92h:16014 

Fisher, Tony J. A bound for the dimension of Ho(.%) of modules V (A; + 4;) for A;(q). 
92h:20029 

Garotta, Odile On Auslander-Reiten systems. (French summary) 92b:16028 

Geck, Meinolf (with Lux, Klaus) The decomposition numbers of the Hecke algebra of type 
Fy. 92a:20043 

Gusein-Zade, S. M. On the degree of an equivariant map. 92j:58012 

Harris, Morton E. On extending projectives of finite group-graded algebras. 92h:16038 

Hiss, Gerhard (with Szczepanski, Andrzej) On torsion free crystallographic groups. 
92i:20053 

Huang, Guo Qiang On interior G-algebras. 92k:20009 

Huppert, Bertram Research in representation theory at Mainz (1984-1990). 92¢:20011 

Kawai, Hiroaki On the cohomology of finite groups and the applications to modular 
representations. 92a:20060 

Kondrat’ev, Anatolii Semenovich Finite linear groups of degree 6. (Russian) 92c:20087 

Kovacs, L. G. On tensor induction of group representations. 92f:20010 

Kiilshammer, Burkhard Group-theoretical descriptions of ring-theoretical invariants of 
group algebras. 92d:16037 

— see also Chiebowitz, M., 92e:16020 

Lux, Klaus see Geck, Meinolf, 92a:20043 

Manz, Olaf Some new developments and open questions in the character theory of finite 
groups. 92¢:20012 

Martin, Stuart Periodic modules in the Auslander-Reiten quiver for some group algebras. 
92a:16020 

Mason, Geoffrey Remarks on nonassociative Galois theory. 92h:51020 

— see also Barriga, Oscar E., 92c:51011 

Olsson, Jorn B. (with Regev, Amitai) Modular cocharacters for P.I. algebras. 92j:16018 

Regev, Amitai see Olsson, Jorn B., 92j:16018 

Schneider, Gerhard J. A. Computing with endomorphism rings of modular representations. 
92a:20015 

Siegel, Stephen Projective modules for Ao in characteristic three. 92g:20006 

Stricker, M. On the cohomology of finite groups with simple coefficients. 92¢:20094 

Suprunenko, I. D. see Zalesskii, A. E., 92a:20053 

Szczepatiski, Andrzej see Hiss, Gerhard, 92i:20053 

Uno, Katsuhiro On the vertices of modules in the Auslander-Reiten quiver. 92m:16021 

Webb, P. J. A split exact sequence of Mackey functors. 92¢:20095 








20C20 


Zalesskii, A. E. (with Suprunenko, I. D.) Permutation representations and a fragment 
of the decomposition matrix of symplectic and special linear groups over a finite field. 
(Russian) 92a:20053 


20C25 Projective representations and multipliers 


Morris, Alun O. Projective representations of Weyl groups. 92h:20027 

Nauwelaerts, E. (with Van Oystaeyen, Freddy) Module characters and projective represen- 
tations of finite groups. 92f:20015 

Saeed-Ul-Islam, M. On the degrees of irreducible projective representations. 92c:20026 

Van Oystaeyen, Freddy see Nauwelaerts, E., 92f:20015 


Items with secondary classifications in 20C25 

Bruno, B. (with Phillips, Richard E.) On multipliers of Heineken-Mohamed type groups. 
92k:2007 

Humphreys, J. F. A survey of recent results on projective representations of the symmetric 
groups. 92g:20023 

Kleidman, Peter B. (with Wales, David B.) The projective characters of the symmetric 
groups that remain irreducible on subgroups. 92e:20008 

Nazarov, M. L. Young’s orthogonal form of irreducible projective representations of the 
symmetric group. 92b:20018 

Phillips, Richard E. see Bruno, B., 92k:20070 

Shahriari, Shahriar On central type factor groups. 92i:20013 

Wales, David B. see Kleidman, Peter B., 92e:20008 

Yamauchi, Ken’ichi On the extensions of group representations over arbitrary fields. 
92¢:20016 


20C30 Representations of finite symmetric groups 


Baddeley, R. W. Models and involution models for wreath products and certain Weyl 
groups. 92i:20017 

Du, Jie The Green correspondence for the representations of Hecke algebras of type A,_;. 
92g:20021 

— The modular representation theory of g-Schur algebras. 92g:20022 

Humphreys, J. F. A survey of recent results on projective representations of the symmetric 
groups. 92g:20023 

Katriel, Jacob Some useful results concerning the representation theory of the symmetric 
group. 92j:20007 

Kirillov, A. A. (with Pak, I. M.) Covariants of the symmetric group and its analogues in A. 
Weil algebras. (Russian) 92c:20027 

Kleidman, Peter B. (with Wales, David B.) The projective characters of the symmetric 
groups that remain irreducible on subgroups. 92¢:20008 

Mirman, R. Transpositions and their diagonalization. 92m:20010 

Nazarov, M. L. Young’s orthogonal form of irreducible projective representations of the 
symmetric group. 92b:20018 

Pak, I. M. see Kirillov, A. A., 92c:20027 

Scharf, Thomas Die Wurzelanzahlfunktion in symmetrischen Gruppen. [The root number 
function in symmetric groups] 92c:20028 

Thibon, Jean-Yves Fonctions symétriques et opérations d’Adams de Il’anneau de Grothen- 
dieck d’un groupe symétrique. (English summary) [Symmetric functions and Adams op- 
erations on the Grothendieck ring of a symmetric group] 92h:20028 

Wales, David B. see Kleidman, Peter B., 92e:20008 


Items with secondary classifications in 20C30 

Alvis, Dean L. (with Barry, Michael J. J.) Character degrees of simple groups. 92f:20006 

(Barnabei, Marilena) see Boffi, Giandomenico, 92m:20032 

Barry, Michael J.J. see Alvis, Dean L., 92f:20006 

Barvinok, A. I. Complexity of computation of immanants, and representations of the 
general linear group. (Russian) 92c:15008 

Blessenohl, Dieter (with Laue, Hartmut) On the coefficients in the associative expansion of 
a Lie word. 92i:17006 

Boffi, Giandomenico A remark on a paper by M. Barnabei and A. Brini: “The Littlewood- 
Richardson rule for co-Schur modules” [Adv. Math. 67 (1988), no. 2, 143-173; MR 
89h:20022]. 92m:20032 

(Brini, Andrea) see Boffi, Giandomenico, 92m:20032 

Campbell, H. E. A. (with Hughes, I.; Pollack, R. D.) Vector invariants of symmetric groups. 
92g:13004 

Clausen, Michael Multivariate polynomials, standard tableaux, and representations of 
symmetric groups. 92h:05140 

Diaconis, Persi (with Rockmore, Daniel) Efficient computation of the Fourier transform on 
finite groups. 92g:20024 

Fack, V. see Van der Jeugt, Joris, 92c:05162 

Green, J. A. Schur algebras and general linear groups. 92h:20069 

Hazewinkel, Michiel Introductory recommendations for the study of Hopf algebras in 
mathematics and physics. 92h:16035 

Hughes, I. see Campbell, H. E. A.; et al., 92g:13004 

Jing, Nai Huan Vertex operators, symmetric functions, and the spin groupT’,. 92e:17033 

Jézefiak, Tadeusz Symmetric functions. (Polish) 92g:05180 

— Schur Q-functions and cohomology of isotropic Grassmannians. 92a:57046 

Kerber, Adalbert * Algebraic combinatorics via finite group actions. 92k:05130 

Kirillov, A. A. On some properties of Robinson-Schensted correspondence. (see 92m:33002) 

Kusakabe, Koichi see Saito, Riichiro, 92i:81088 

Laue, Hartmut see Blessenohl, Dieter, 92i:17006 

van Leeuwen, Marc A. A. The Robinson-Schensted and Schiitzenberger algorithms and 
interpretations. 92g:05183 

Martin, Stuart Ext! spaces for general linear and symmetric groups. 92m:20035 

Meierfrankenfeld, Ulrich A characterization of the spinmodule for 2 - A,. 92i:20006 

Metropolis, N. (with Rota, Gian-Carlo) Symmetry classes: functions of three variables. 
924:26024 

— (with Rota, Gian-Carlo; Stein, Joel A.) Theory of symmetry classes. 92g:05181 


GROUP THEORY AND GENERALIZATIONS 


1992 336 


Michler, Gerhard O. (with Olsson, Jorn B.) Weights for covering groups of symmetric and 
alternating groups, p # 2. 92f:20014 

Morris, Alun O. Projective representations of Weyl groups. 92h:20027 

— (with Sultana, N.) Hall-Littlewood polynomials at roots of 1 and modular representations 
of the symmetric group. 924:05176 

Olsson, Jorn B. see Michler, Gerhard O., 92:20014 

Pollack, R. D. see Campbell, H. E. A.; et al., 92g:13004 

Rockmore, Daniel see Diaconis, Persi, 92g:20024 

Rota, Gian-Carlo see Metropolis, N., 92d:26024 and 92g:05181 

Saito, Riichiro (with Kusakabe, Koichi) A complete set of spin 1/2 functions by Young’s 
diagrams. 92i:81088 

Scopes, Joanna Cartan matrices and Morita equivalence for blocks of the symmetric groups. 
92h:20023 

Stein, Joel A. see Metropolis, N.; et al., 92g:05181 

Stitzer, Friedrich Carl Identitaten fiir symmetrisierte Bideterminanten. [Identities for 
symmetrized bideterminants] 92k:05131 

Sultana, N. see Morris, Alun O., 924:05176 

Thibon, Jean-Yves Hopf algebras of symmetric functions and tensor products of symmetric 
group representations. 92m:05201 

Van der Jeugt, Joris (with Fack, V.) The Pragacz identity and a new algorithm for 
Littlewood-Richardson coefficients. 92c:05162 


20C32 Representations of infinite symmetric groups 


Hirai, Takeshi Construction of irreducible unitary representations of the infinite symmetric 
group SG... 92i:20018 


Items with secondary classifications in 20C32 
Lawrence, R. J. Homological representations of the Hecke algebra. 92d:16020 


20C33 Representations of finite groups of Lie type 

Fisher, Tony J. A bound for the dimension of Ho(%) of modules V (A; + A;) for A;(q). 
92h:20029 

Srinivasan, Bhama Representations of finite groups of Lie type. 92j:20008 


Items with secondary classifications in 20C33 

Digne, Francois (with Michel, Jean) * Representations of finite groups of Lie type. 
92g:20063 

Geck, Meinolf (with Hiss, Gerhard) Basic sets of Brauer characters of finite groups of Lie 
type. 92¢:20006 

— On the decomposition numbers of the finite unitary groups in nondefining characteristic. 
92f:20013 

Giizel, Erhan Les représentations irréductibles complexes des groupes SL(3, q), PSL(3, ). 
(Turkish summary) [Complex irreducible representations of the groups SL(3, q), 
PSL(3,q)] 92b:20013 

Hiss, Gerhard The Brauer trees of the Ree groups. 92h:20019 

— see also Geck, Meinolf, 92e:20006 

Michel, Jean see Digne, Francois, 92g:20063 


20C35 Applications of group representations to physics 


Items with secondary classifications in 20C35 


Bender, Carl M. (with Dunne, Gerald V.) Covariance of the gauge field in three- 
dimensional quantum electrodynamics. 92j:81353 

Dunne, Gerald V. see Bender, Carl M., 92j:81353 

Falicov, L. M. see Freericks, J. K., 92k:82072 

Freericks, J. K. (with Falicov, L.M.) Enlarged symmetry groups of finite-size clusters with 
periodic boundary conditions. 92k:82072 

Haser, Marco Molecular point-group symmetry in electronic structure calculations. 

Hatch, Dorian M. see Stokes, Harold T., 92h:20077 

Hirayama, Minoru SO(2, 1) structure of the generalized harmonic oscillator. 92i:81084 

Ikeda, Kiyohiro see Murota, Kazuo, 92h:73026 

Itzykson, Claude (with Zuber, J.-B.) Matrix integration and combinatorics of modular 
groups. 92a:32025 

Lasher, Gordon Winding numbers for SU(3) lattice gauge fields. 92¢:81213 

Murota, Kazuo (with Ikeda, Kiyohiro) Critical imperfection of symmetric structures. 
92h:73026 

Remmel, Jeffrey B. (with Yang, Mei) Special rim hook tabloids and some new multiplicity- 
free S-series. 92a:05130 

Stokes, Harold T. (with Hatch, Dorian M.) * Isotropy subgroups of the 230 crystallo- 
graphic space groups. 92h:20077 

Yang, Mei see Remmel, Jeffrey B., 92a:05130 

Zuber, J.-B. see Itzykson, Claude, 92a:32025 


20C40 Computational methods 


Diaconis, Persi (with Rockmore, Daniel) Efficient computation of the Fourier transform on 
finite groups. 92g:20024 

Lux, Klaus (with Pahlings, H.) Computational aspects of representation theory of finite 
groups. 92g:20025 

Pahlings, H. see Lux, Klaus, 92g:20025 

Rockmore, Daniel see Diaconis, Persi, 92g:20024 

Schneider, Gerhard J. A. Computing with endomorphism rings of modular representations. 
92a:20015 


Items with secondary classifications in 20C40 


Bannai, Eiichi (with Kwok, Wing Man; Song, Sung-Yell) Ennola type dualities in the 
character tables of some association schemes. 92d:05180 
Kwok, Wing Man see Bannai, Eiichi; et al., 92d:05180 





337 1992 


Song, Sung-Yell see Bannai, Eiichi; et al., 92d:05180 
Wilson, Robert A. The 2- and 3-modular characters of J3, its covering group and automor- 
phism group. 92b:20016 


20C99 None of the above, but in this section 


Dress, Andreas W. M. (with Siebeneicher, Christian; Yoshida, Tomoyuki) An application 
of Burnside rings in elementary finite group theory. 92k:20018 

Plesken, W. Some applications of representation theory. 92k:20019 

Raggi-Cardenas, Alberto (with Vallejo, Ernesto) Abelian and Hamiltonian groups with 
isomorphic Burnside rings are isomorphic. 92m:20011 

Siebeneicher, Christian see Dress, Andreas W. M.; et al., 92k:20018 

Tushev, A. V. Irreducible representations of locally polycyclic groups over an absolute- 
valued field. (Russian. Ukrainian summary) 92a:20016 

Vallejo, Ernesto see Raggi-Cardenas, Alberto, 92m:20011 

Vovsi, Samuel M. Some ring themes in the theory of varieties of group representations. 
92k:20020 

Yoshida, Tomoyuki see Dress, Andreas W. M.; et al., 92k:20018 


Items with secondary classifications in 20C99 

Alaniya, L. A. Manifolds of Alexander type. (Russian) 92d:57004 

Burde, Gerhard SU(2)-representation spaces for two-bridge knot groups. 92c:57004 

Diaconis, Persi Applications of group representations to statistical problems. (see 
92m:00054) 

Fossum, Robert M. One-dimensional formal group actions. 92i:14044 

Henn, Hans-Werner (with Schwartz, Lionel) Indecomposable A-module summands in H*V 
which are unstable algebras. 92b:55025 

Higman, D.G. Computations related to coherent configurations. 92a:05032 

Oknitiski, Jan (with Putcha, Mohan S.) Parabolic subgroups and cuspidal representations 
of finite monoids. 92g:20112 

Putcha, Mohan S. see Oknitiski, Jan, 92g:20112 

Schwartz, Lionel see Henn, Hans-Werner, 92b:55025 


20Dxx Abstract finite groups 


20D05 Classification of simple and nonsolvable groups 


Bensaid, Adaouia (with van der Waall, Robert W.) Nonsolvable finite groups whose 
subgroups of equal order are conjugate. 92c:20029 

Bi, Jian Xing see Shi, Wu Jie; et al., 92d:20016 

Kaarli, Kalle Can finite simple groups be described? (Estonian. English and Russian 
summaries) (see 92m:00026) 

Ninomiya, Yasushi Finite groups with exactly three p-regular classes. 92f:20016 

Shi, Wu Jie Using orders to characterize simple groups and related topics. (Chinese. English 
summary) 92k:20021 

— (with Bi, Jian Xing) A characterization of Suzuki-Ree groups. 92d:20016 

Timmesfeld, F.G. A pushing up result and some consequences for the embedding of 2- 
constrained subgroups. 92¢:20030 

van der Waall, Robert W. see Bensaid, Adaouia, 92c:20029 


Items with secondary classifications in 20D05 

Arad, Zvi (with Blau, Harvey I.) On table algebras and applications to finite group theory. 
92£:20007 

— (with Fisman, Elsa; Blau, Harvey I.) Table algebras and applications to products of 
characters in finite groups. 92f:20008 

Blau, Harvey I. see Arad, Zvi, 92f:20007 and 92f:20008 

Fisman, Elsa see Arad, Zvi; et al., 92f:20008 

Gordeev, N. L. Algebras of invariants of finite groups. (Russian) 92i:20051 

Kantor, William M. Automorphism groups of some generalized quadrangles. 92m:51009 

Meierfrankenfeld, Ulrich (with Stroth,G.) On quadratic GF(2)-modules for Chevalley 
groups over fields of odd order. 92d:20069 

Stroth, G. see Meierfrankenfeld, Ulrich, 92d:20069 


20D06 Simple groups: alternating groups and groups of Lie type 
[see also 20Gxx, 22Exx] 


Bi, Jian Xing see Shi, Wu Jie, 92d:20018 

Campbell, C. M. (with Doostie, H.; Robertson, Edmund) Fibonacci length of generating 
pairs in groups. 92j:20009 

Chermak, Andrew (with Delgado, Alberto L.) J-modules for local BN-pairs. 92d:20017 

Cohen, Arjeh M. (with Liebeck, Martin W.; Saxl, Jan; Seitz, Gary M.) The local maximal 
subgroups of exceptional groups of Lie type, finite and algebraic. 92m:20012 

Delgado, Alberto L. see Chermak, Andrew, 92d:20017 

Doostie, H. see Campbell, C. M.; et al., 92j:20009 

Hall, J. 1. A characterization of finite symplectic groups over fields with more than two 
elements. 92b:20019 

Liebeck, Martin W. see Cohen, Arjeh M.; et al., 92m:20012 

Robertson, Edmund see Campbell, C. M.; et al., 92j:20009 

Saxl, Jan see Cohen, Arjeh M.; et al., 92m:20012 

Seitz, Gary M. see Cohen, Arjeh M.; et al., 92m:20012 

Shi, Wu Jie (with Bi, Jian Xing) A characteristic property for each finite projective special 
linear group. 92d:20018 

— A characterization of Suzuki’s simple groups. 92f:20017 


Items with secondary classifications in 20D06 


Dalla Volta, F. (with Tamburini Bellani, Maria Chiara) Generation of some orthogonal 
groups by a set of three involutions. 92b:20055 
Heiss, Stefan On a parabolic system of type M24. 92i:20043 


20D Abstract finite groups 


Hiss, Gerhard The Brauer trees of the Ree groups. 92h:20019 

Nozawa, Sihei Nonexistence of a finite group with a specified 7-block. 92a:20013 

Tamburini Bellani, Maria Chiara see Dalla Volta, F., 92b:20055 

Yoshiara, Satoshi A classification of flag-transitive classical c.C2-geometries by means of 
generators and relations. 92¢:51024 

Zisser, lan The product of all the irreducible characters of a finite simple group. 92e:20005 


20D08 Simple groups: sporadic groups 


Aschbacher, Michael (with Segev, Yoav) The uniqueness of groups of type Js. 92g:20026 

— (with Segev, Yoav) The uniqueness of groups of Lyons type. 92k:20022 

Conder, Marston Random walks in large finite groups. 92h:20030 

— The symmetric genus of the Mathieu groups. 92k:20023 

Conway, John Horton (with Norton, Simon P.; Soicher, Leonard H.) The Bimonster, the 
group Ys55, and the projective plane of order 3. 92f:20018 

Ivanov, Aleksandr Anatol’evich Geometric approach to the problem of uniqueness for 
sporadic simple groups. (Russian) 92d:20019 

Lempken, Wolfgang (with Parker, Christopher; Rowley, Peter) (S3,Ss)- and (53, S¢)- 
amalgams. 92j:20010 

Linton, Stephen A. Corrections to: “The maximal subgroups of the Thompson group” [J. 
London Math. Soc. (2) 39 (1989), no. 1, 79-88; MR 90c:20024]. 92¢:20031 

— (with Wilson, Robert A.) The maximal subgroups of the Fischer groups Fiz, and Fi%,. 
92h:20031 

Norton, Simon P. see Conway, John Horton; et al., 92f:20018 

Parker, Christopher see Lempken, Wolfgang; et al., 92j:20010 

Pfaff, Oliver On the simplicity of -2 and -3. 92k:20024 

Ren, Yong Cai Finite simple groups all of whose 2-maximal subgroups are PQN-groups. 
(Chinese) 92¢:20032 

Rowley, Peter see Lempken, Wolfgang; et al., 92j:20010 

Segev, Yoav On the uniqueness of Fischer’s Baby Monster. 92¢:20033 

— see also Aschbacher, Michael, 92g:20026 and 92k:20022 

Soicher, Leonard H. A new uniqueness proof for the Held group. 92k:20025 

— More on the group Y555 and the projective plane of order 3. 92d:20020 

— see also Conway, John Horton; et al., 92f:20018 

Wilson, Robert A. see Linton, Stephen A., 92h:20031 

Woldar, Andrew J. Sporadic simple groups which are Hurwitz. 92k:20026 


Items with secondary classifications in 20D08 

Adem, Alejandro (with Maginnis, John; Milgram, R. James) The geometry and cohomology 
of the Mathieu group M)2. 92g:20083 

Dolan, L. Conformal field theory, triality and the Monster group. (see 92m:81226) 

— (with Goddard, Peter; Montague, Paul Stewart) Conformal field theory of twisted vertex 
operators. 92a:17032 

Goddard, Peter see Dolan, L.; et al., 92a:17032 

Hiss, Gerhard (with Lux, Klaus; Paixer, Richard A.) The 5-modular characters of the 
McLaughlin group and its covering group. 92g:20017 

Kleidman, Peter B. (with Wilson, Robert A.) J; < E¢(4) and Mj2 < E,(5). 92b:20056 

Lux, Klaus see Hiss, Gerhard; et al., 92g:20017 

Maginnis, John see Adem, Alejandro; et al., 92g:20083 

Mason, Geoffrey G-elliptic systems and the genus zero problem for M24. 92b:11027 

Milgram, R. James see Adem, Alejandro; et al., 92g:20083 

Montague, Paul Stewart see Dolan, L.; et al., 92a:17032 

Nergiz, Serdar (with Saclioglu, Cihan) On-shell three-string amplitudes and the structure 
constants of the Monster Lie algebra. 92f:17038 

Parker, Richard A. see Hiss, Gerhard; et al., 92g:20017 

Saclioglu, Cihan see Nergiz, Serdar, 92f:17038 

Tits, Jacques Symmetrie. [Symmetry] 92g:51018 

Weiss, Richard Mark A characterization of the group Co; as a transitive extension of HS. 
92¢:51023 

— A geometric characterization of the groups M2, He and Ru. 92k:20076 

Wilson, Robert A. The 2- and 3-modular characters of J3, its covering group and automor- 
phism group. 92b:20016 

— see also Kleidman, Peter B., 92b:20056 

Zisser, Ilan The product of all the irreducible characters of a finite simple group. 92e:20005 


20D10 Solvable groups, theory of formations, Schunck classes, 
Fitting classes, z-length, ranks [see also 20F 17] 


Abu-Joukha, Jaber The Fitting length of finite groups admitting an automorphism of prime 
order. (Turkish summary) 92f:20019 

Anis’kov, V. V. Minimal local non-o,(m)-formations of finite groups. (Russian) 92d:20021 

Asaad, Mohamed (with Ramadan, M.; Shaalan, Ayesha) Influence of z-quasinormality on 
maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group. 92d:20022 

Ballester-Bolinches, A. Remarks on formations. 92i:20019 

— A note on saturated formations. 92m:20013 

— (with Ezquerro Marin, Luis Miguel) On the Deskins index complex of a maximal 
subgroup of a finite group. 92e:20009 

Brewster, Ben (with Hauck, Peter) Cover-avoidance and Frattini argument. 92b:20020 

Bryce, R. A. (with Fedri, V.; Serena, L.) Bounds on the Fitting length of finite soluble 
groups with supersoluble Sylow normalisers. 92g:20027 

Delepelaire, Jean-Francois F-groupes de permutations transitifs. (English summary) 
[Transitive F-groups of permutations] 92j:20011 

Eidinov, M. I. Height-two elements of the lattice of formations of finite groups. (Russian) 
92:20020 

Ercan, Gillin (with Giloglu, ismail $.) On the Fitting length of H,g(G). 92£:20021 

Ezquerro Marin, Luis Miguel see Ballester-Bolinches, A., 92e:20009 

Fedri, V. see Bryce, R. A.; et al., 92g:20027 

Ferguson, Pamela A. Connections between priine divisors of conjugacy classes and prime 
divisors of |G|. 92h:20032 

Gilotti, Anna Luisa (with Tiberio, Umberto) On the NC-groups. 92d:20023 





20D10 


— (with Gross, Fletcher; Tiberio, Umberto) On the Fitting length of NC-groups. 92h:20033 

Gross, Fletcher see Gilotti, Anna Luisa; et al., 92h:20033 

Giiloglu, ismail §. see Ercan, Gillin, 92f:20021 

Guo, Wen Bin Normal Fitting pairs. (Chinese) 

Guo, Xiu Yun The normal index of maximal subgroups of finite groups. (Chinese) 
92g:20028 

Hauck, Peter see Brewster, Ben, 92b:20020 

Iranzo, Mario Jestis (with Martinez Pastor, A.; Pérez Monasor, F.) Factorizations of 
Thompson type associated with p*, p-injectors in finite groups. (Spanish. English 
summary) (see 92m:00048) 

Kamornikov, S. F. On a theorem of P. Hall. (Russian) 92a:20017 

Kazarin, L.S. Finite groups that are close to solvable. (Russian) (see 91e:20004) 

Kovacs, L. G. (with Sim, Hyo-Seob) Generating finite soluble groups. 92k:20027 

Leedham-Green, Charles R. (with Soicher, Leonard H.) Collection from the left and other 
strategies. 92b:20021 

Martinez Pastor, A. see Iranzo, Mario Jesiis; et al., (92m:00048) 

McCann, Brendan A Fitting class construction. 92k:20028 

— Fitting classes based on groups of nilpotent length three with operator-isomorphic 
minimal normal subgroups. 92k:20029 

Mysovskikh, V.I. Polynormal subgroups of finite supersolvable groups. (Russian. English 
summary) 92j:20012 

Nakazato, Haruo (with Ohama, Hiroshi) Formations of finite 2-solvable groups. 
92m:20014 

Ohama, Hiroshi see Nakazato, Haruo, 92m:20014 

Pérez Monasor, F. see Iranzo, Mario Jests; et al., (92m:00048) 

Ramadan, M. see Asaad, Mohamed; et al., 92d:20022 

Ren, Yong Cai Finite groups whose maximal subgroups are (A)-groups. (Chinese) 
92h:20034 

Scapellato, Raffaele (with Verardi, Libero) Sur les ensembles générateurs minimaux d’un 
groupe fini. [On the minimum generating sets of a finite group] 92e:20010 

Serena, L. see Bryce, R. A.; et al., 92g:20027 

Shaalan, Ayesha The influence of z-quasinormality of some subgroups on the structure of a 
finite group. 92c:20034 

— see also Asaad, Mohamed; et al., 92d:20022 

Sim, Hyo-Seob see Kovacs, L. G., 92k:20027 

Skiba, A. N. A class of local formations of finite groups. (Russian. English summary) 
92}:20013 

Soicher, Leonard H. see Leedham-Green, Charles R., 92b:20021 

Tiberio, Umberto see Gilotti, Anna Luisa, 92d:20023 and 92h:20033 

Verardi, Libero see Scapellato, Raffaele, 92e:20010 

Vorob’ev, N. T. On the factorization of local and nonlocal products of finite groups of 
nonlocal formations. 92f:20022 

Wang, Yan Ming On Frobenius’ conjecture. 92j:20014 

Zhang, Qin Hai Finite groups whose subgroups are seminormal. (Chinese. English 
summary) 92h:20035 

Zhdanova, Yu. D. Spectral expansion for a function of a matrix that is connected with a 

_ finite solvable group. (Russian) 92¢:20011 


Items with secondary classifications in 20D10 


Adnan, Saad On factorisable soluble groups. (Italian summary) 92a:20021 

Ballester-Bolinches, A. (with Ezquerro Marin, Luis Miguel) On maximal subgroups of 
finite groups. 92h:20037 

— (with Pérez-Ramos, M. D.) ¥-subnormal closure. 92d:20026 

Casolo, Carlo Subnormality in factorizable finite soluble groups. 92k:20036 

Cornell, Gary Group theory and the class group. 92g:11106 

Espuelas, Alberto Regular orbits on symplectic modules. 92b:20007 

Ezquerro Marin, Luis Miguel see Ballester-Bolinches, A., 92h:20037 

Hanaki, Akihide (with Hida, Akihiko) Modular representation of finite solvable groups 
(Mp-groups and related topics). (see 92i:16002) 

Heineken, Hermann Nilpotent subgroups of finite soluble groups. 92k:20030 

Hida, Akihiko see Hanaki, Akihide, (92i:16002) 

Horvath, Erzsébet Bounding functions concerning character degrees of solvable groups. 
92:20009 

Kazarin, L.S. Factorizations of finite groups by solvable subgroups. (Russian. Ukrainian 
summary) 92k:20039 

Klyatskaya, L.M. A class of metabelian groups with complemented subgroups. (Russian. 
Ukrainian summary) 92m:20030 

Koshitani, Shigeo On p-radical groups in representation theory of finite groups. 92m:20009 

Kurzweil, Hans A combinatorial technique for simplicial complexes and some applications 
to finite groups. 92e:57038 

Larrea, Begoiia see Vera Lopez, Antonio, 92b:20022 

Pérez-Ramos, M.D. see Ballester-Bolinches, A., 92d:20026 

Semenchuk, V. N. The role of minimal non-3-groups in the theory of formations. (Russian) 
92b:20034 

Serre, Jean-Pierre Construction de revétements étales de la droite affine en caractéristique 
p. (English summary) [Construction of étale coverings of the affine line in characteristic 
Pp] 92b:14008 

Ushitaki, Fumihiro SK,(Z[G]) of finite solvable groups which act linearly and freely on 
spheres. 92d:19001 

Vera Lépez, Antonio (with Larrea, Begonia) On p-groups of maximal class. 92b:20022 

Wang, You-Qiang The p-parts of Brauer character degrees in p-solvable groups. 92b:20015 

Welker, Volkmar Uber die Mébiuszahl des Verbands der Untergruppe einer endlichen 
auflésbaren Gruppe. [On the Mébius number of the lattice of subgroups of a finite 
solvable group] 92j:20017 


20D15 Nilpotent groups, p-groups 


Berkovich, Yakov G. On the number of elements of given order in a finite p-group. 
92h:20036 


Deaconescu, Marian On a special class of finite 2-groups. 92m:20015 


GROUP THEORY AND GENERALIZATIONS 1992 338 


Draganyuk, S. V. On the structure of finite primary groups all 2-maximal subgroups of 
which are abelian. (Russian) 92j:20015 

Fernandez-Alcober, Gustavo A. see Vera Lépez, Antonio, 92c:20036 

Heineken, Hermann Nilpotent subgroups of finite soluble groups. 92k:20030 

Larrea, Begona see Vera Lépez, Antonio, 92b:20022 

Mann, Avinoam (with Scoppola, Carlo M.) On p-groups of Frobenius type. 92j:20016 

Ormerod, Elizabeth A. The Wielandt subgroup of metacyclic p-groups. 92a:20018 

— On the Wielandt length of metabelian p-groups. 92m:20016 

Pannone, Virgilio On the partitions of finite p-groups. II. (Italian. English summary) 
92k:20031 

Scapellato, Raffaele Sur les groupes engendrés par une classe de p-involutions. [On groups 
generated by a class of p-involutions] 92c:20035 

Scoppola, Carlo M. (with Shalev, Aner) Applications of dimension subgroups to the power 
structure of p-groups. 92k:20032 

— see also Mann, Avinoam, 92j:20016 

Shalev, Aner see Scoppola, Carlo M., 92k:20032 

Tian, Bin Zhong The p’-regularity of finite p-groups. (Chinese) 

Vera Lépez, Antonio (with Larrea, Begofia) On p-groups of maximal class. 92b:20022 

— (with Fernandez-Alcober, Gustavo A.) On p-groups of maximal class. III. 92c:20036 

Wang, Yan Ming On Zassenhaus’ conjecture. 92k:20033 

Xu, Ming Yao P. Hall’s basis theorem for regular p-groups and its application to some 
classification problems. 924:20024 


Items with secondary classifications in 20D15 


Antonov, Vladimir Alekseevich On the relation between the lattice of centralizers of a group 
and the lattice of its subgroups. (Russian) 92b:20030 

Bannuscher, Wolfgang Uber Gruppen mit genau zwei irreduziblen Charaktergraden. I, II. 
[On groups with exactly two irreducible character degrees. I, II] 92k:20012 

Bujalance, Emilio (with Gromadzki, Grzegorz) On nilpotent groups acting on Klein 
surfaces. 92g:20076 

Garzon, Max (with Zalcstein, Yechezkel) On isomorphism testing of a class of 2-nilpotent 
groups. 92k:20063 

Gromadzki, Grzegorz see Bujalance, Emilio, 92g:20076 

Heineken, Hermann Nilpotent groups of class two that can appear as central quotient 
groups. 92c:20068 

Mann, Avinoam Wreath products in modular group rings. 92i:20005 

Ninomiya, Yasushi Structure of p-solvable groups with three p-regular classes. 92h:20021 

Ormerod, Elizabeth A. Groups of Wielandt length two. 92k:20038 

Puig, Lluis Affirmative answer to a question of Feit. 92a:20014 

Shalev, Aner Uniserial permutation modules. 92d:20013 

— A note on groups of prime exponent. 92h:20057 

— Characterization of p-adic analyiic groups in terms of wreath products. 92i:20029 

Vaughan-Lee, Michael Collection from the left. 92¢:20065 

Zalcstein, Yechezkel see Garzon, Max, 92k:20063 


20D20 Sylow subgroups, Sylow properties, z-groups, z-structure 


Chen, Zhong Mu Inner-(z, 2’)-closed groups and a theorem of Isaacs. (Chinese) 92a:20019 

Guo, Xiu Yun A simple generalization of Wielandt’s theorem. (Chinese) 

Stellmacher, Bernd Errata to: “An analogue to Glauberman’s Z J-theorem” [Proc. Amer. 
Math. Soc. 109 (1990), no. 4, 925-929; MR 90k:20045]. 92e:20012 

Zenkov, V.1. Finite groups with regular intersections of Sylow 2-subgroups. (Russian) 
92a:20020 

— Finite groups with normal intersections of certain Sylow subgroups. (Russian) (see 
92k:20002) 

Zhang, Ji Ping On the finite group with a TI Sylow p-subgroup. (Chinese summary) 
92d:20025 


Items with secondary classifications in 20D20 

Asaad, Mohamed (with Ramadan, M.; Shaalan, Ayesha) Influence of z-quasinormality on 
maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group. 92d:20022 

Atkinson, M. D. (with Neumann, Peter M.) Computing Sylow subgroups of permutation 
groups. 92h:20006 

Bryce, R. A. (with Fedri, V.; Serena, L.) Bounds on the Fitting length of finite soluble 
groups with supersoluble Sylow normalisers. 92g:20027 

Campbell, H. E. A. (with Hughes, I.; Pollack, R. D.) Rings of invariants and p-Sylow 
subgroups. 92h:13008 

Casadio, Giuseppina (with Zappa, Guido) History of the Sylow theorem and its proofs. 
(Italian) 92f:01023 

Fedri, V. see Bryce, R. A.; et al., 92g:20027 

Fournelle, Thomas A. Sylow theory in generalized wreath products of finite groups. 
92c:20047 

Gilotti, Anna Luisa (with Gross, Fletcher; Tiberio, Umberto) On the Fitting length of NC- 
groups. 92h:20033 

Gross, Fletcher see Gilotti, Anna Luisa; et al., 92h:20033 

Hughes, I. see Campbell, H. E. A.; et al., 92h:13008 

Kantor, William M. Finding Sylow normalizers in polynomial time. 92d:20008 

Kleidman, Peter B. A proof of the Kegel-Wielandt conjecture on subnormal subgroups. 
92d:20027 

Larrea, Ma. Concepcién see Vera Lépez, Antonio, 92g:20032 

Mislin, Guido (with Thévenaz, Jacques) The Z*-theorem for compact Lie groups. 
92i:22006 

Nakazato, Haruo (with Ohama, Hiroshi) Forinations of finite z-solvable groups. 
92m:20014 

Neumann, Peter M. see Atkinson, M. D., 92h:20006 

Ohama, Hiroshi see Nakazato, Haruo, 92m:20014 

Pollack, R. D. see Campbell, H. E. A.; et al., 92h:13008 

Ramadan, M. see Asaad, Mohamed; et al., 92d:20022 

Scapellato, Raffaele (with Verardi, Libero) Sur les ensembles générateurs minimaux d’un 
groupe fini. [On the minimum generating sets of a finite group] 92e:20010 





339 1992 


Serena, L. see Bryce, R. A.; et al., 92g:20027 

Serre, Jean-Pierre Construction de revétements étales de la droite affine en caractéristique 
p. (English summary) [Construction of étale coverings of the affine line in characteristic 
Pp] 92b:14008 

Shaalan, Ayesha see Asaad, Mohamed; et al., 92d:20022 

Thévenaz, Jacques see Mislin, Guido, 92i:22006 

Tiberio, Umberto see Gilotti, Anna Luisa; et al., 92h:20033 

Vera Lépez, Antonio (with Larrea, Ma. Concepcién) Conjugacy classes in finite groups. II. 
92g:20032 

Verardi, Libero see Scapellato, Raffaele, 92e:20010 

Wang, Yan Ming On Zassenhaus’ conjecture. 92k:20033 

Zappa, Guido see Casadio, Giuseppina, 92f:01023 


20D25 Special subgroups (Frattini, Fitting, etc.) 

Ballester-Bolinches, A. (with Ezquerro Marin, Luis Miguel) On maximal subgroups of 
finite groups. 92h:20037 

Ezquerro Marin, Luis Miguel see Ballester-Bolinches, A., 92h:20037 

Scapellato, Raffaele (with Verardi, Libero) Groupes finis qui jouissent d’une propriété 
analogue au théoréme des bases de Burnside. (Italian summary) [Finite groups equipped 
with a property analogous to the Burnside basis theorem] 92h:20038 

Verardi, Libero see Scapellato, Raffaele, 92h:20038 

Weidner, Michael Praefrattinigruppen und Matroide. (English summary) [Pre-Frattini 
groups and matroids] 92f:20023 


Items with secondary classifications in 20D25 

Abu-Joukha, Jaber The Fitting length of finite groups admitting an automorphism of prime 
order. (Turkish summary) 92f:20019 

Ballester-Bolinches, A. A note on saturated formations. 92m:20013 

— (with Ezquerro Marin, Luis Miguel) On the Deskins index complex of a maximal 
subgroup of a finite group. 92e:20009 

Ezquerro Marin, Luis Miguel see Ballester-Bolinches, A., 92e:20009 

Ormerod, Elizabeth A. The Wielandt subgroup of metacyclic p-groups. 92a:20018 

Ren, Yong Cai Finite simple groups all of whose 2-maximal subgroups are PQN-groups. 
(Chinese) 92c:20032 

Scapellato, Raffaele (with Verardi, Libero) Sur les ensembles générateurs minimaux d’un 
groupe fini. [On the minimum generating sets of a finite group] 92e:20010 

Stellmacher, Bernd Errata to: “An analogue to Glauberman’s Z J-theorem” [Proc. Amer. 
Math. Soc. 109 (1990), no. 4, 925-929; MR 90k:20045]. 92e:20012 

Thompson, John G. Groups of genus zero and certain rational functions. 92h:12005 

Verardi, Libero see Scapellato, Raffaele, 92e:20010 

Wang, Yan Ming On Frobenius’ conjecture. 92j:20014 


20D30 Series and lattices of subgroups 


Antonov, Vladimir Alekseevich Finite groups in which the lattice of centralizers is a 
sublattice of the lattice of subgroups. (Russian) 92k:20034 

Bianchi, Maria Grazia (with Gillio Berta Mauri, A.; Verardi, Libero) On the surjectivity of 
the Mdbius function y of a finite group. (Italian summary) 92k:20035 

Gillio Berta Mauri, A. see Bianchi, Maria Grazia; et al., 92k:20035 

Lucchini, Andrea On subgroups of index p>. 92g:20029 

Verardi, Libero see Bianchi, Maria Grazia; et al., 92k:20035 

Welker, Volkmar Uber die Mébiuszahl des Verbands der Untergruppe einer endlichen 
auflésbaren Gruppe. [On the Mobius number of the lattice of subgroups of a finite 
solvable group] 92j:20017 


Items with secondary classifications in 20D30 

Botha, S. G. (with Buys, A.) Nilpotency, solvability and radicals in categories. 92b:16001 

Buys, A. see Botha, S. G., 92b:16001 

Kurzweil, Hans A combinatorial technique for simplicial complexes and some applications 
to finite groups. 92e:57038 


20D35 Subnormal subgroups 


Ballester-Bolinches, A. (with Pérez-Ramos, M. D.) ¥-subnormal closure. 92d:20026 

Casolo, Carlo Subnormality in factorizable finite soluble groups. 92k:20036 

Cossey, John Groups of odd order in which every subnormal subgroup has defect at most 
two. 92k:20037 

Kleidman, Peter B. A proof of the Kegel-Wielandt conjecture on subnormal subgroups. 
92d:20027 

Maier, Rudolf R. Permutability and subnormality of subgroups. (see 92¢:20003) 

Ormerod, Elizabeth A. Groups of Wielandt length two. 92k:20038 

Pérez-Ramos, M. D. see Ballester-Bolinches, A., 92d:20026 

Zhao, Ying Classification of inner (q) groups with order a power of 2. (Chinese. English 
summary) 92i:20020 


Items with secondary classifications in 20D35 

Mysovskikh, V.I. Polynormal subgroups of finite supersolvable groups. (Russian. English 
summary) 92j:20012 

Ormerod, Elizabeth A. On the Wielandt length of metabelian p-groups. 92m:20016 

Ward, James J. A survey of subnormal subgroups. 


20D40 Products of subgroups 


Adnan, Saad On factorisable soluble groups. (Italian summary) 92a:20021 

Kazarin, L.S. Factorizations of finite groups by solvable subgroups. (Russian. Ukrainian 
summary) 92k:20039 

Kochergin, V. V. On the complexity of computations in finite abelian groups. (Russian) 
92i:20021 


20D Abstract finite groups 


Items with secondary classifications in 20D40 

Amberg, Bernhard Triply factorized groups. 92h:20058 

Franciosi, Silvana (with de Giovanni, Francesco) On trifactorized soluble groups of finite 
rank. 92£:20033 

de Giovanni, Francesco see Franciosi, Silvana, 92f:20033 


20D45 Automorphisms 


Chen, Gui Yun Finite groups with automorphism group having order a product of three 
distinct primes. 92a:20022 

Rowley, Peter Finite groups admitting a fixed-point-free automorphism of order rst. 
92e:20013 


Items with secondary classifications in 20D45 


Deaconescu, Marian On a special class of finite 2-groups. 92m:20015 

Scapellato, Raffaele Sur les groupes engendrés par une classe de p-involutions. [On groups 
generated by a class of p-involutions] 92c:20035 

Wang, Yan Ming On Frobenius’ conjecture. 92j:20014 


20D50 Covering of subgroups 


Thielcke, Beate Zur Untergruppeneigenschaft von Klassenvereinigungen in endlichen 
Gruppen. [On the subgroup property of unions of classes in finite groups] 92b:20023 


Items with secondary classifications in 20D50 


Pannone, Virgilio On the partitions of finite p-groups. II. (Italian. English summary) 
92k:20031 


20D60 Arithmetic and combinatorial problems 


Adami, Stefania (with Bianchi, Maria Grazia) On rational groups with order divisible by at 
most 3 prime factors. (Italian summary) 92b:20024 

Babai, Laszl6 (with Hetyei, G. L.; Kantor, William M.; Lubotzky, Alexander; Seress, Akos) 
On the diameter of finite groups. (see 92i:68010) 

Berger, Marc Aron (with Felzenbaum, Alexander Gersh; Fraenkel, Aviezri S.) Irreducible 
disjoint covering sy (with an application to Boolean algebra). 92c:20037 

Bertram, Edward A. (with Herzog, Marcel; Mann, Avinoam) On a graph related to 
conjugacy classes of groups. 92f:20024 

— (with Herzog, Marcel) On medium-size subgroups and bases of finite groups. 92c:20038 

Bianchi, Maria Grazia see Adami, Stefania, 92b:20024 

Brandl, Rolf (with Shi, Wu Jie) Finite groups whose element orders are consecutive 
integers. 92g:20030 

Casolo, Carlo Prime divisors of conjugacy class lengths in finite groups. (Italian summary) 
92g:20031 

Clement, A. C.G. Product representations of group elements. 92h:20039 

Corradi, Keresztély (with Szab6, Sandor) A Hajés-Keller type result on factorization of 
finite cyclic groups. 92a:20023 

Felzenbaum, Alexander Gersh see Berger, Marc Aron; et al., 92c:20037 

Fraenkel, Aviezri S. see Berger, Marc Aron; et al., 92c:20037 

Hamidoune, Yahya Ould On the subsets product in finite groups. 92k:20040 

Harary, Frank The chromatic number of a finite group. 92f:20025 

Hassan, Entsar H. see Moustafa, Fatma E., 92e:20015 

Herzog, Marcel see Bertram, Edward A., 92c:20038 and 92£:20024 

Hetyei, G. L. see Babai, Laszl6; et al., (92i:68010) 

Hrabé de Angelis, Jérg Brauer’s fixed-point-formula as a consequence of Thompson’s order- 
formula. 92a:20024 

liyori, Nobuo (with Yamaki, Hiroyoshi) On a conjecture of Frobenius. 92e:20014 

Kantor, William M. see Babai, Laszl6; et al., (92i1:68010) 

Larrea, Ma. Concepcién see Vera Lépez, Antonio, 92g:20032 

Lubotzky, Alexander see Babai, Laszl6; et al., (92i:68010) 

Mann, Avinoam see Bertram, Edward A.; et al., 92f:20024 

Moustafa, Fatma E. (with Hassan, Entsar H.) Generalization of the basic p-group theorem. 
(Arabic summary) 92e:20015 

Seress, Akos see Babai, Laszl6; et al., (92i:68010) 

Sherman, Gary J. (with Tucker, Thomas J.; Walker, Mark E.) How Hamiltonian can a finite 
group be? 92f:20026 

Shi, Wu Jie see Brandl, Rolf, 92g:20030 

Szab6, Sandor see Corradi, Keresztély, 92a:20023 

Tucker, Thomas J. see Sherman, Gary J.; et al., 92f:20026 

Vera Lépez, Antonio (with Larrea, Ma. Concepcién) Conjugacy classes in finite groups. II. 
92g:20032 

Walker, Mark E. see Sherman, Gary J.; et al., 92f:20026 

Yamaki, Hiroyoshi see liyori, Nobuo, 92e:20014 

Yff, Peter On the Dénes-Hermann theorem: a different approach. 924:20028 





Items with secondary classifications in 20D60 

Alon, Noga (with Kleitman, Daniel J.) Sum-free subsets. 92f:11020 

— Independent sets in regular graphs and sum-free subsets of finite groups. 92k:11024 

Anderson, B. A. A product theorem for 2-sequencings. 92a:05025 

Arad, Zvi (with Ehrlich, Gideon; Kegel, Otto H.; Lennox, John C.) An application of 
Ramsey’s theory to partitions in groups. I. 92b:05077 

Bedford, David Transversals in the Cayley tables of the noncyclic groups of order 8. 
92m:05035 

Brown, Ronald Paul Minimal covers of S, by abelian subgroups and maximal subsets of 
pairwise noncommuting elements. II. 92a:20007 

Conder, Marston The symmetric genus of the Mathieu groups. 92k:20023 

Davis, James Andrew A result on Dillon’s conjecture in difference sets. 92g:05042 

— Difference sets in abelian 2-groups. 92g:05043 

Ehrlich, Gideon see Arad, Zvi; et al., 92b:05077 





20D60 


Erdés, Paul (with Ivi¢, Aleksandar) On the iterates of the enumerating function of finite 
abelian groups. 92e:11098 

Geroldinger, Alfred Systeme von Langenmengen. (English summary) [Systems of sets of 
lengths] 92a:20071 

Ghinelli-Smit, Dina (with Lowe, Stefan) On multipliers of partial addition sets. 92g:05044 

Hamidoune, Yahya Ould On some graphic aspects of addition theorems. 92i:05136 

Heath-Brown, D. R. The number of abelian groups of order at most x. 92m:11106 

Ivié, Aleksandar see Erdés, Paul, 92e:11098 

Kegel, Otto H. see Arad, Zvi; et al., 92b:05077 

Khazal, Reyadh A note on maximal subgroups in finite groups. 92f:20029 

Kleitman, Daniel J. see Alon, Noga, 92f:11020 

Kovacs, L.G. (with Sim, Hyo-Seob) Generating finite soluble groups. 92k:20027 

Lennox, John C. see Arad, Zvi; et al., 92b:05077 

Leung, Ka Hin (with Ma, Siu Lun) Constructions of partial difference sets and relative 
difference sets on p-groups. 924:05025 

Liu, Hong Quan On the number of abelian groups of a given order. 92i:11103 

Léwe, Stefan see Ghinelli-Smit, Dina, 92g:05044 

Ma, Siu Lun see Leung, Ka Hin, 92d:05025 

Moews, David Keller’s conjecture for certain finite groups. 92k:20101 

Penavié, Kresimir Campanology groups. (Serbo-Croatian) 

Phelps, K. T. (with Vanstone, Scott A.) Isomorphism of strong starters in cyclic groups. 
92c:05030 

Scapellato, Raffaele (with Verardi, Libero) Groupes finis qui jouissent d’une propriété 
analogue au théoréme des bases de Burnside. (Italian summary) [Finite groups equipped 
with a property analogous to the Burnside basis theorem] 92h:20038 

Sim, Hyo-Seob see Kovacs, L. G., 92k:20027 

Srinivasan, Seshadri On orders solely of abelian groups. III. 92j:11110 

Strunkov, S. P. A generalization of Fermat’s little theorem. (Russian) 92k:11006 

Szab6, Sandor Lattice covering by semicrosses of arm length 2. 92e:52024 

‘Vanstone, Scott A. see Phelps, K. T., 92c:05030 

Verardi, Libero see Scapellato, Raffaele, 92h:20038 

Welker, Volkmar Uber die Mébiuszahl des Verbands der Untergruppe einer endlichen 
auflésbaren Gruppe. [On the Mébius number of the lattice of subgroups of a finite 
solvable group] 92j:20017 

Zhu, Lie! S-independent set and the minimum distance of abelian codes. 92m:94024 


20D99 None of the above, but in this section 


Khazal, Reyadh (with Mukherjee, N. P.) A note on influence of subgroup restrictions in 
finite group structure. 92f:20027 

Mukherjee, N. P. see Khazal, Reyadh, 92f:20027 

Srinivasan, Subramanian Influence of order on a finite group. 


Items with secondary classifications in 20D99 
Abou-Zaid, Salah On fuzzy subnormal and pronormal subgroups of a finite group. 


20Exx Structure and classification of infinite or finite 
groups 


20E05 Free nonabelian groups 


Bestvina, Mladen (with Handel, Michael) Train tracks and automorphisms of free groups. 
92m:20017 

Bryant, Roger M. (with Groves, J. R. J.) On automorphisms of relatively free groups. 
92h:20040 

Comerford, Jonell A. (with Comerford, Leo P., Jr.; Edmunds, Charles C.) Powers as 
products of commutators. 92d:20029 

Comerford, Leo P., Jr. see Comerford, Jonell A.; et al., 92d:20029 

Edmunds, Charles C. (with Rosenberger, Gerhard) Powers of genus two in free groups. 
92b:20025 

— see also Comerford, Jonell A.; et al., 92d:20029 

Goldstein, Richard Z. Bounded cancellation of automorphisms of free products. 92g:20033 

Groves, J. R. J. see Bryant, Roger M., 92h:20040 

Handel, Michael see Bestvina, Mladen, 92m:20017 

Heil, Wolfgang Products of commutators and squares in free groups. 92m:20018 

Hoare, A. H. M. On automorphisms of free groups. II. 92i:20022 

Imrich, Wilfried (with Krstié, Sava; Turner, E. C.) On the rank of fixed point sets of 
automorphisms of free groups. 92i:20023 

Krsti¢, Sava Finitely generated virtually free groups have finitely presented automorphism 
group. 92k:20041 

— see also Imrich, Wilfried; et al., 92i:20023 

Matus, V. N. A remark on the conjugacy problem. (Russian) 92d:20030 

Mikhailyuk, E. A. On a generalization of the concept of index for subgroups of free groups. 
(Russian) 92g:20034 

Moran, Siegfried Some free groups of matrices and the Burau representation of By. 
924:20031 

Neumann, Walter D. On intersections of finitely generated subgroups of free groups. 
22b:20026 

Niblo, G. A. Separability properties of free groups and surface groups. 92m:20019 

Pin, Jean-Eric (with Reutenauer, Christophe) A conjecture on the Hall topology for the free 
group. 92g:20035 

Reutenauer, Christophe see Pin, Jean-Eric, 92g:20035 

Rosenberger, Gerhard A property of subgroups of free groups. 92g:20036 

— see also Edmunds, Charles C., 92b:20025 

Schaufele, Christopher (with Zumoff, Nancy) +*-groups, graphs, and bases. 92a:20025 

Turner, E.C. see Imrich, Wilfried; et al., 92i:20023 

Zamoff, Nancy see Schaufele, Christopher, 92a:20025 


GROUP THEORY AND GENERALIZATIONS 


Items with secondary classifications in 20E05 


Behrendt, Gerhard Some sharply transitive partially ordered sets. 92k:06001 

Gupta, Chander Kanta (with Gupta, Narain) Lifting primitivity of free nilpotent groups. 
92£:20035 

Gupta, Narain see Gupta, Chander Kanta, 92f:20035 

Hartley, Brian (with Kuz'min, Yu. V.) On the quotient of a free group by the commutator 
of two normal subgroups. 92h:20047 

Kuhn, Gabriella (with Steger, Tim) A characterization of spherical series representations of 
the free group. 92j:22010 

Kuz'min, Yu. V. see Hartley, Brian, 92h:20047 

Pays, Isabelle (with Valette, Alain) Sous-groupes libres dans les groupes d’automorphismes 
d’arbres. [Free subgroups in the automorphism groups of trees] 92f:20028 

Pride, Stephen J. A theorem, like Folner’s theorem on amenability, concerning residual 
properties of free groups. 92c:20049 

Shpil'rain, V.E. Automorphisms of F/R’ groups. 92k:20056 

Sillke, Torsten Zur Kombinatorik von Permutationen. (English summary) [On the 
combinatorics of permutations] 92j:05004 

Steger, Tim see Kuhn, Gabriella, 92j:22010 

Tavgen’, O. 1. The nonarithmeticity of the groups Aut F, and Out F,,. (Russian. English 
summary) 92j:20034 

Valette, Alain see Pays, Isabelle, 92f:20028 


20E06 Free products, free products with amalgamation, Higman- 
Neumann-Neumann extensions, and generalizations 


Adeleke, S. A. (with Glass, A. M. W.; Morley, Larry J.) Arithmetic permutations. 
92h:20041 

Azarian, Mohammad K. On the near Frattini subgroups of amalgamated free products of 
groups. 92d:20032 

— On the lower near Frattini subgroups of generalized free products with cyclic amalgama- 
tions. 92j:20018a 

— On the near Frattini subgroup of the amalgamated free product of finitely generated 
abelian groups. 92j:20018b 

Brick, Stephen G. Relative normal-convexity and amalgamations. 92g:20037 

Edjvet, Martin Equations over groups and a theorem of Higman, Neumann, and Neumann. 
92¢:20039 

— (with Howie, James) The solution of length four equations over groups. 92¢:20040 

Fine, Benjamin (with Rohl, Frank; Rosenberger, Gerhard) Two-generator subgroups of 
certain HNN groups. 92¢:20041 

Glass, A.M. W. see Adeleke, S. A.; et al., 92h:20041 

Howie, James see Edjvet, Martin, 92c:20040 

Huang, Jian Hua see Li, Hui Ling; et al., 92d:20033 

Lewin, Jacques The growth function of some free products of groups. 92k:20042 

Li, Hui Ling (with Huang, Jian Hua) A characterization of 3-local subgroups of Ly. 
92d:20033 

Lien, Magnhild (with Ratcliffe, John G.) On the uniqueness of HNN decompositions of a 
group. 92k:20043 

Lopatkov, M. G. * IIpearpynnsi 4 dyHKuuu Anuupl. (Russian) [Pregroups and length 
functions] 92i:20024 

Morley, Larry J. see Adeleke, S. A.; et al., 92h:20041 

Raptis, E. (with Varsos, D.) The residual nilpotence of HNN-extensions with base group a 
finite or a f.g. abelian group. 92m:20020 

Ratcliffe, John G. see Lien, Magnhild, 92k:20043 

Rimlinger, Frank The structure of Promislow’s continuous free product. 92d:20034 

Rohl, Frank see Fine, Benjamin; et al., 92c:20041 

Rosenberger, Gerhard see Fine, Benjamin; et al., 92c:20041 

Tang, Francis C. Y. Some results on 1-relator quotients of free products. 92¢:20042 

— On the subgroup separability of generalized free products of nilpotent groups. 92c:20043 

Varsos, D. see Raptis, E., 92m:20020 

Wong, P.C. Strong residual finiteness of certain HNN extensions. 92i:20025 


Items with secondary classifications in 20E06 


Basarab, Serban A. On a problem raised by Alperin and Bass. 92b:57001 

Collins, Donald J. (with Zieschang, Heiner) Combinatorial theory of groups, and 
fundamental groups. (Russian) 92h:20001 

Droms, Carl (with Lewin, Jacques; Servatius, Herman) Tree groups and the 4-string pure 
braid group. 92b:20040 

Goldstein, Richard Z. Bounded cancellation of automorphisms of free products. 92g:20033 

Haug, Frieder (with Meierfrankenfeld, Ulrich; Phillips, Richard E.) An amalgamation 
theorem for finite group extensions. 92h:20045 

Hog-Angeloni, Cynthia On the homotopy type of 2-complexes with a free product of cyclic 
groups as fundamental group. 92e:57004 

Horadam, K. J. The cohomology ring of an HNN extension of combinatorially aspherical 
groups. 92g:20082 

(Kurchanov, P. F.) see Collins, Donald J., 92h:20001 

Lewin, Jacques see Droms, Carl; et al., 92b:20040 

Lockhart, Jody Meyer The conjugacy problem for graph products with infinite cyclic edge 
groups. 92f:20032 

Lustig, Martin Nielsen equivalence and simple-homotopy type. 92a:57025 

Meierfrankenfeld, Ulrich see Haug, Frieder; et al., 92h:20045 

Mihalik, Michael L. (with Tschantz, Steven T.) Semistability of amalgamated products, 
HNN-extensions, and all one-relator groups. 92k:57002b 

— (with Tschantz, Steven T.) Semistability of amalgamated products and HNN-extensions. 
92k:57002a 

Neumann, Walter D. (with Reid, Alan W.) Amalgamation and the invariant trace field of a 
Kleinian group. 92b:30053 

Phillips, Richard E. see Haug, Frieder; et al., 92h:20045 

Reid, Alan W. see Neumann, Walter D., 92b:30053 

Servatius, Herman see Droms, Carl; et al., 92b:20040 





341 1992 


Stallings, John R. Foldings of G-trees. 92g:20040 

Thomas, Richard M. On the torsion of certain finitely presented groups. 92k:20059 

Tishin, Yu. V. Subgroups that satisfy an identity in a class of abstract groups. (Russian) 
92g:20041 

Tschantz, Steven T. see Mihalik, Michael L., 92k:57002a and 92k:57002b 

Zieschang, Heiner see Collins, Donald J., 92h:20001 


20E07 Subgroup theorems 


Belozerov, A.S. The structure of groups in which the commutator groups of all proper 
nonabelian subgroups have prime order. (Russian) 92j:20019 

Celentani, Maria Rosaria On groups with many quasinormal subgroups. (Italian summary) 
92k:20044 

Corradi, Keresztély On certain properties of centralizers hereditary to the factor group. 
92b:20027 

Herbst, Thomas On a kind of Fatou property of context-free groups. 92j:20020 

Kraichuk, A. V. Groups with infinite normal subgroups of infinite index. (Russian) 
92a:20026 

Miller, Thomas Combinatorial aspects of finitely generated virtually free groups. 92i:20026 

Obraztsov, V. N. Some infinite groups. (Russian) 92i:20027 

Rao, K. P.S. Bhaskara (with Reid, J.D.) Abelian groups that are unions of proper 
subgroups. 92h:20042 

Reid, J.D. see Rao, K. P. S. Bhaskara, 92h:20042 

Usenko, V.M. Subgroups of idirect products. (Russian. Ukrainian summary) 
92k:20045 





Items with secondary classifications in 20E07 

Chowdhury, K.C. Goldie M-groups. 92i:16022 

Cossey, John The Wielandt subgroup of a polycyclic group. 92m:20028 

Fine, Benjamin (with Rohl, Frank; Rosenberger, Gerhard) Two-generator subgroups of 
certain HNN groups. 92¢:20041 

Lawrence, Jim Finite unions of closed subgroups of the n-dimensional torus. 92:52024 

Moszner, Zenon Sur l’orientation d’un groupe. [On the orientation of a group] 92a:20035 

Miller, Thomas A group-theoretical generalization of Pascal’s triangle. 92c:05071 

Neumann, Walter D. On intersections of finitely generated subgroups of free groups. 
92b:20026 

Rohl, Frank see Fine, Benjamin; et al., 92c:20041 

Rosenberger, Gerhard A property of subgroups of free groups. 92g:20036 

— see also Fine, Benjamin; et al., 92c:20041 


20E08 Groups acting on trees 


Basarab, Serban A. On a problem raised by Alperin and Bass. I. Group actions on 
groupoids. 92h:20043 

Bestvina, Mladen (with Feighn, Mark) A counterexample to generalized accessibility. 
92g:20038 

— (with Feighn, Mark) Bounding the complexity of simplicial group actions on trees. 
92¢:20044 

Dunwoody, M. J. Groups acting on R-trees. 92i:20028a 

— Erratum: “Groups acting on R-trees”. 92i:20028b 

Feighn, Mark see Bestvina, Mladen, 92c:20044 and 92g:20038 

Jiang, Ren Fang Free product with amalgamation and free actions on R-trees. 92g:20039 

Maller, Régnvaldur G. The automorphism groups of regular trees. 92h:20044 

Morgan, John Willard A-trees and their applications. 92k:20046 

— (with Shalen, Peter B.) Free actions of surface groups on R-trees. 92¢:20016 

— A-trees and their applications. 92e:20017 

Pays, Isabelle (with Valette, Alain) Sous-groupes libres dans les groupes d’automorphismes 
d’arbres. [Free subgroups in the automorphism groups of trees] 92f:20028 

Rimlinger, Frank Free actions on R-trees. 92j:20021 

Shalen, Peter B. see Morgan, John Willard, 92e:20016 

Stallings, John R. Foldings of G-trees. 92g:20040 

Tishin, Yu. V. Subgroups that satisfy an identity in a class of abstract groups. (Russian) 
92g:20041 

Valette, Alain see Pays, Isabelle, 92f:20028 

Wilkens, David L. Invariants and examples of group actions on trees and length functions. 
92¢:20045 


Items with secondary classifications in 20E08 


Anshel, Iris Lee An introduction to a class of two-relator groups. 92i:20033 

— A Freiheitssatz for a class of two-relator groups. 92i:20032 

Basarab, Serban A. On a problem raised by Alperin and Bass. 92b:57001 

Chermak, Andrew (with Delgado, Alberto L.) J-modules for local BN-pairs. 92d:20017 

Chiswell, I. M. Nonstandard analysis and the Morgan-Shalen compactification. 92h:57002 

Cohen, M. M. (with Lustig, Martin; Steiner, M.) R-tree actions are not determined by the 
translation lengths of finitely many elements. 92b:57002 

Collins, Donald J. (with Zieschang, Heiner) Combinatorial theory of groups, and 
fundamental groups. (Russian) 92h:20001 

Delgado, Alberto L. see Chermak, Andrew, 92d:20017 

Gillet, Henri (with Shalen, Peter B.) Dendrology of groups in low Q-ranks. 92b:57003 

— (with Shalen, Peter B.) Cohomological dimension of groups acting on R-trees. 92k:57001 

Jiang, Ren Fang Branch points and free actions on R-trees. 92d:57001 

(Kurchanov, P. F.) see Collins, Donald J., 92h:20001 

Lopatkov, M. G. * IIpearpynnsi « dyHxuun Auubl. (Russian) [Pregroups and length 
functions] 92i:20024 

Lustig, Martin see Cohen, M. M.; et al., 92b:57002 

Mihalik, Michael L. (with Tschantz, Steven T.) Semistability of amalgamated products and 
HNN-extensions. 92k:57002a 

Parry, Walter Axioms for translation length functions. 92:57005 

Paulin, Frédéric Outer automorphisms of hyperbolic groups and small actions on R-trees. 
92g:57003 


20E Structure and classification of infinite or finite groups 


Pavone, Marco On the geodesic distance and group actions on trees. 92g:22013 
Shalen, Peter B. see Gillet, Henri, 92b:57003 and 92k:57001 

Steiner, M. see Cohen, M. M.,; et al., 92b:57002 

Tschantz, Steven T. see Mihalik, Michael L., 92k:57002a 

Zieschang, Heiner see Collins, Donald J., 92h:20001 


20E10 Quasivarieties and varieties of groups 

Almeida, Jorge An elementary proof that finite groups are projectively torsion-free. 
92d:20035 

Baumslag, Gilbert Some reflections on finitely generated metabelian groups. 92b:20028 

Ivanov, S. V. (with Ol'shanskii, A. Yu.) Some applications of graded diagrams in combina- 
torial group theory. 92j:20022 

Olshanskii, A. Yu. see Ivanov, S. V., 92j:20022 

Skopin, A. I. Bases of free metabelian and transmetabelian groups. (Russian) 92k:20047 

Watson, R.O. The lattice of finite varieties. 92b:20029 


Items with secondary classifications in 20E10 

Boffa, Maurice (with Point, Francoise) Identités de Thue-Morse dans les groupes. (English 
summary) [Thue-Morse identities in groups] 92c:20069 

Bryant, Roger M. (with Groves, J. R. J.) On automorphisms of relatively free groups. 
92h:20040 

Groves, J. R. J. see Bryant, Roger M., 92h:20040 

Gupta, Chander Kanta (with Levin, Frank) Tame range of automorphism groups of free 
polynilpotent groups. 92k:20055 

— (with Romanovskii, N.S.) A generalized Freiheitssatz for centre-by-metabelian groups. 
92m:20023 

Kim, Pan Soo (with Rhemtulla, Akbar; Smith, Howard) A characterization of infinite 
metabelian groups. 92m:20029 

Levin, Frank see Gupta, Chander Kanta, 92k:20055 

Longobardi, Patrizia (with Maj, Mercede; Wiegold, James) Groups with semigroup 
identities: on a conjecture of M. V. Sapir. (Italian. English summary) 92k:20112 

Maj, Mercede see Longobardi, Patrizia; et al., 92k:20112 

Point, Francoise see Boffa, Maurice, 92c:20069 

Rhemtulla, Akbar see Kim, Pan Soo; et al., 92m:20029 

Roman’kov, V. A. Primitive elements of free groups of rank 3. (Russian) 92i:20038 

Romanovskii, N.S. see Gupta, Chander Kanta, 92m:20023 

Smith, Howard see Kim, Pan Soo; et al., 92m:20029 

Wiegold, James see Longobardi, Patrizia; et al., 92k:20112 


20E15 Chains and lattices of subgroups, subnormal subgroups 
[see also 20F22] 


Antonov, Vladimir Alekseevich On the relation between the lattice of centralizers of a group 
and the lattice of its subgroups. (Russian) 92b:20030 

Chernikov, N.S. Socle and socle-finite groups. (Russian. Ukrainian summary) 92k:20048 

Cutolo, Giovanni On groups satisfying the maximal condition on nonnormal subgroups. 
92g:20042 

Mainardis, Mario Projektivitaten zwischen abelschen und nichtabelschen Gruppen. 
[Projectivities between abelian and nonabelian groups] 92g:20043 

SeSelja, Branimir (with Vojvodi¢, Gradimir) A note on some lattice characterizations of 
Hamiltonian groups. (Serbo-Croatian summary) 92a:20027 

Stonehewer, S. E. (with Zacher, G.) Lattice homomorphisms of nonperiodic groups. 
92g:20044 

Thévenaz, Jacques (with Webb, P. J.) Homotopy equivalence of posets with a group action. 
92k:20049 

Vojvodié, Gradimir see SeSelja, Branimir, 92a:20027 

Ward, James J. A survey of subnormal subgroups. 

Webb, P. J. see Thévenaz, Jacques, 92k:20049 

Zacher, G. see Stonehewer, S. E., 92g:20044 


Items with secondary classifications in 20E15 

Celentani, Maria Rosaria On groups with many quasinormal subgroups. (Italian summary) 
92k:20044 

Costantini, Mauro On lattice automorphisms of the special linear group. (Italian summary) 
92k:20091 

Dardano, Ulderico On groups with many maximal subgroups. 92a:20029 

Jakubik, Jan Mixed product decompositions of a directed group. 92e:06036 

Lucchini, Andrea On subgroups of index p>. 92g:20029 

Mahdavi, Kazem (with Poland, John) On lattice-isomorphic abelian groups. 92k:20104 

Mironets, A. A. Continuity of an intersection operation in a class of isomorphic abelian 
subgroups with a minimality condition. (Russian) 92g:22012 

Poland, John see Mahdavi, Kazem, 92k:20104 


20E18 Limits, profinite groups 


Baumann, B. Free pro-p groups with operators. 92m:20021 

Haran, Dan A proof of Serre’s theorem. 92a:20028 

Ribes, Luis (with Wong, Kieh) On the minimal number of generators of certain groups. 
92j:20023 

— Virtually free factors of pro-p groups. 92k:20050 

Shalev, Aner Characterization of p-adic analytic groups in terms of wreath products. 
92i:20029 

Shirasou, Takeo A note on the generalization to infinite degree of Neukirch’s last reci- 
procity. (Japanese. English summary) 

Wong, Kieh see Ribes, Luis, 92j:20023 

Wirfel, Tilmann Dimension-preserving extensions of pro-p-groups. 92b:20031 





20E18 


Items with secondary classifications in 20E18 

Almeida, Jorge An elementary proof that finite groups are projectively torsion-free. 
92d:20035 

Bousfield, A. K. On the p-adic completions of nonnilpotent spaces. 92g:55014 

Dress, Andreas W. M. (with Siebeneicher, Christian) A multinomial identity for Witt 
vectors. 92a:05135 

Jarden, Moshe (with Ritter, Jirgen) The Frattini subgroup of the absolute Galois group of 
a local field. 92j:11140 

Lubotzky, Alexander (with Mann, Avinoam) On groups of polynomial subgroup growth. 
92d:20038 

Mann, Avinoam see Lubotzky, Alexander, 92d:20038 

Mindé, Jan (with Ware, Roger) DemuSkin groups of rank Np as absolute Galois groups. 
92m:12009 

Ritter, Jiirgen see Jarden, Moshe, 92j:11140 

Siebeneicher, Christian see Dress, Andreas W. M., 92a:05135 

Ware, Roger see Mindat, Jan, 92m:12009 

Wilson, John S. Finite presentations of pro-p groups and discrete groups. 92k:20060 


20E22 Extensions, wreath products, and other compositions 
[see also 20J05] 


Bechtell, H. On semidirect products. 92d:20036 

Behrendt, Gerhard Equivalence systems and generalized wreath products. 92b:20032 

Faiziev, V. A. On the wreath product of an infinite set of groups. (Russian. Tajiki summary) 
92c:20046 

Fournelle, Thomas A. Sylow theory in generalized wreath products of finite groups. 
92¢:20047 

Haug, Frieder (with Meierfrankenfeld, Ulrich; Phillips, Richard E.) An amalgamation 
theorem for finite group extensions. 92h:20045 

Ivanov, S. V. Strictly verbal extensions of groups. 92h:20046 

Johnson, David Lawrence Rational growth of wreath products. 92g:20045 

Kuzennyi, N. F. (with Levishchenko, S. S.) On the splittability of groups. (Russian) 
92j:20024 

Levishchenko, S.S. see Kuzennyi, N. F., 92j:20024 

Meierfrankenfeld, Ulrich see Haug, Frieder; et al., 92h:20045 

Panagopoulos, John Central automorphisms of standard wreath products. 92¢:20048 

Phillips, Richard E. see Haug, Frieder; et al., 92h:20045 

Saarimaki, Mikko (with Sorjonen, Pekka) * Extensions of valued groups. 92i:20030 

Shao, Song Chun Extensions of Q* by SL(n,Q). II. (Chinese. English summary) 92d:20037 

Sorjonen, Pekka see Saarimaki, Mikko, 92i:20030 

Subbotin, I. Ya. Weakly central extensions of groups. (Russian. Ukrainian summary) 
92k:20051 

Sushchanskii, V. 1. Wreath products and general products of groups. (Russian) 92k:20052 


Items with secondary classifications in 20E22 

Abduh, A. (with List, R. J.) On the characters of extensions of extraspecial groups. (Italian 
summary) 92g:20008 

Abhyankar, Shreeram S. Group enlargements. (French summary) 92b:14007 

Baddeley, R. W. Models and involution models for wreath products and certain Weyl 
groups. 92i:20017 

Bruno, B. (with Phillips, Richard E.) On multipliers of Heineken-Mohamed type groups. 
92k:20070 


Clay, James R. An unexpected group isomorphism yields a surprising affine plane and more. 


(see 92h:00022) 

Giambruno, Antonio (with Valenti, Angela; Sehgal, Sudarshan K.) Automorphisms of the 
integral group rings of some wreath products. 92c:20006 

Hacque, Michel Cohomologies des anneaux-groupes. [Cohomology of ring-groups] 
92h:18004 

Hartley, Brian (with Stéhr, Ralph) A note on the homology of free abelianized extensions. 
924:20973 

— (with Stohr, Ralph) Homology of higher relation modules and torsion in free central 
extensions of groups. 92d:20074 

Ivanov, S. V. (with Ol/shanskii, A. Yu.) Some applications of graded diagrams in combina- 
torial group theory. 92j:20022 

Kachemtseva, Z. M. Letter to the editors: “On the wreath product of Z-groups” [Algebra i 
Logika 28 (1989), no. 3, 298-310; MR 91j:20090]. (Russian) 92m:20031 

Lidl, Rudolf see Wan, Da Qing, 92g:11119 

Linnell, P. A. Cup products and group extensions. 92b:20062 

List, R. J. see Abduh, A., 92g:20008 

O¥shanskii, A. Yu. see Ivanov, S. V., 92j:20022 

Parry, Walter Growth series of some wreath products. 92h:20061 

Phillips, Richard E. see Bruno, B., 92k:20070 

Ribes, Lais (with Wong, Kieh) On the minimal number of generators of certain groups. 
92j:20023 

Sehgal, Sudarshan K. see Giambruno, Antonio; et al., 92c:20006 

Stohr, Ralph see Hartley, Brian, 92d:20073 and 92d:20074 

Usenko, V.M. Subgroups of semidirect products. (Russian. Ukrainian summary) 
92k:20045 

Valenti, Angela see Giambruno, Antonio; et al., 92c:20006 

Wan, Da Qing (with Lidl, Rudolf) Permutation polynomials of the form x’ f(x¢-")/4) and 
their group structure. 92g:11119 

Wong, Kieh see Ribes, Luis, 92j:20023 


20E25 Local properties 


Items with secondary classifications in 20E25 


liyori, Nobuo (with Yamaki, Hiroyoshi) On a conjecture of Frobenius. 92¢:20014 
Yamaki, Hiroyoshi see liyori, Nobuo, 92e:20014 


GROUP THEORY AND GENERALIZATIONS 


20E26 Residual properties and generalizations 


Beidleman, James C. (with Robinson, Derek J. S.) On the structure of the normal 
subgroups of a group: nilpotency. 92m:20022 

Gitik, Rita (with Rips, Eliyahu) A necessary condition for A _ B tobe LERF. 92g:20046 

Ivanov, N. V. Residual finiteness of modular Teichmiiller groups. (Russian) 92i:20031 

Long, D. D. (with Niblo, G. A.) Subgroup separability and 3-manifold groups. 92g:20047 

Lubotzky, Alexander (with Mann, Avinoam) On groups of polynomial subgroup growth. 
92d:20038 

Mann, Avinoam see Lubotzky, Alexander, 92d:20038 

Niblo, G. A. see Long, D. D., 92g:20047 

Pride, Stephen J. A theorem, like Folner’s theorem on amenability, concerning residual 
properties of free groups. 92c:20049 

Rips, Eliyahu see Gitik, Rita, 92g:20046 

Robinson, Derek J.S. see Beidleman, James C., 92m:20022 

Shpil'rain, V. E. Some applications of free differential calculus in group theory. (Russian) 
92k:20053 

Wilson, John S. A residual property of free groups. 92c:20050 


Items with secondary classifications in 20E26 

Raptis, E. (with Varsos, D.) The residual nilpotence of HNN-extensions with base group a 
finite or a f.g. abelian group. 92m:20020 

Rosenberger, Gerhard Faithful linear representations and residual finiteness of some 
products of cyclics with one relation. (Russian) 92g:20014 

Segal, Dan Residually finite groups. 92a:20002 

Varsos, D. see Raptis, E., 92m:20020 

Wong, P.C. Strong residual finiteness of certain HNN extensions. 92i:20025 


20E28 Maximal subgroups 


Dardano, Ulderico On groups with many maximal subgroups. 92a:20029 

Khazal, Reyadh A note on maximal subgroups in finite groups. 92f:20029 

Li, Shang Zhi Overgroups in GL(U @ W) of certain subgroups of GL(U) @ GL(W). I. 
92d:20039 


Items with secondary classifications in 20E28 

Azarian, Mohammad K. On the near Frattini subgroups of amalgamated free products of 
groups. 92d:20032 

Ballester-Bolinches, A. (with Ezquerro Marin, Luis Miguel) On maximal subgroups of 
finite groups. 92h:20037 

Beidleman, James C. (with Robinson, Derek J. S.) On the structure of the normal 
subgroups of a group: nilpotency. 92m:20022 

Cohen, Arjeh M. (with Liebeck, Martin W.; Saxl, Jan; Seitz, Gary M.) The local maximal 
subgroups of exceptional groups of Lie type, finite and algebraic. 92m:20012 

Ezquerro Marin, Luis Miguel see Ballester-Bolinches, A., 92h:20037 

Guo, Xiu Yun The normal index of maximal subgroups of finite groups. (Chinese) 
92g:20028 

Kleidman, Peter B. (with Wilson, Robert A.) J3 < E¢(4) and Mj2 < E¢(5). 92b:20056 

Liebeck, Martin W. (with Saxl, Jan) On point stabilizers in primitive permutation groups. 
92i:20002 

— see also Cohen, Arjeh M.; et al., 92m:20012 

Linton, Stephen A. Corrections to: “The maximal subgroups of the Thompson group” [J. 
London Math. Soc. (2) 39 (1989), no. 1, 79-88; MR 90c:20024]. 92c:20031 

— (with Wilson, Robert A.) The maximal subgroups of the Fischer groups Fiz, and Fi},. 
92h:20031 

Macpherson, Dugald (with Praeger, Cheryl E.) Maximal subgroups of infinite symmetric 
groups. 92d:20007 

Malle, Gunter The maximal subgroups of 7F,(q). 92d:20068 

Praeger, Cheryl E. see Macpherson, Dugald, 92d:20007 

Ren, Yong Cai Finite simple groups all of whose 2-maximal subgroups are PQN-groups. 
(Chinese) 92c:20032 

— Finite groups whose maximal subgroups are (A)-groups. (Chinese) 92h:20034 

Robinson, Derek J.S. see Beidleman, James C., 92m:20022 

Saxl, Jan see Liebeck, Martin W., 92i:20002 and Cohen, Arjeh M.; et al., 92m:20012 

Seitz, Gary M. see Cohen, Arjeh M.; et al., 92m:20012 

Wilson, Robert A. see Kleidman, Peter B., 92b:20056 and Linton, Stephen A., 92h:20031 


20E32 Simple groups [see also 20D05] 


Hartley, Brian (with Kuzucuoglu, M.) Centralizers of elements in locally finite simple 
groups. 92d:20040 
Kuzucuoglu, M. see Hartley, Brian, 92d:20040 


Items with secondary classifications in 20E32 


(Bannai, Eiichi) see Conway, John Horton, 92k:11070a and 92k:11070b 

Bertram, Edward A. (with Herzog, Marcel) Bounds on character degrees and class numbers 
of finite nonabelian simple groups. 92h:20013 

(Borcherds, Richard E.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Chen, Zhong Hu A note on the construction of simple groups over number fields. 92f:20043 

Conway, John Horton (with Sloane, Neil J. A.) * Ynakosxku wWapos, pewieTKH 4 rpynnbl. Tom 
I. (Russian) [Sphere packings, lattices and groups. Vol. I] 92k:11070a 

— (with Sloane, Neil J. A.) * Ynakosku wapos, peweTKH 4 rpynnbi. Tom II. (Russian) 
[Sphere packings, lattices and groups. Vol. II] 92k:11070b 

Herzog, Marcel see Bertram, Edward A., 92h:20013 

(Leech, John) see Conway, John Horton, 92k:11070a and 92k:11070b 

Liebeck, Martin W. (with Saxl, Jan) On point stabilizers in primitive permutation groups. 
92i:20002 

(Litsyn, S.N.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Manin, Yu. I.) see Conway, John Horton, 92k:11070a 

(Norton, Simon P.) see Conway, John Horton, 92k:11070a and 92k:11070b 





343 1992 


Obraztsov, V. N. Some infinite groups. (Russian) 92i:20027 

(Odlyzko, Andrew M.) see Conway, John Horton, 92k:11070a and 92k:11070b 
(Parker, Richard A.) see Conway, John Horton, 92k:11070a and 92k:11070b 
(Queen, L.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Saxl, Jan see Liebeck, Martin W., 92i:20002 

(Shabat, G. B.) see Conway, John Horton, 92k:11070a 

Sloane, Neil J. A. see Conway, John Horton, 92k:11070a and 92k:11070b 
Stein, Melanie Groups of piecewise linear homeomorphisms. 92k:20075 
(Tsfasman, M. A.) see Conway, John Horton, 92k:11070a and 92k:11070b 
(Venkov, B. B.) see Conway, John Horton, 92k:11070a and 92k:11070b 
(Vladut, Sergei G.) see Conway, John Horton, 92k:11070b 

(Yakovlev, N. N.) see Conway, John Horton, 92k:11070b 


20E34 General structure theorems 


Chernikov, N.S. Factorizations of groups of automorphisms of a finitely generated module 
over a commutative ring. II. (Russian. Ukrainian summary) 92k:20054 

Endimioni, Gérard Groupes de type [d — 3(d — 1)]. [Groups of type [d — 3(d — 1)]] 
92e:20018 

Hartley, Brian (with Kuz'min, Yu. V.) On the quotient of a free group by the commutator 
of two normal subgroups. 92h:20047 

Kuz'min, Yu. V. see Hartley, Brian, 92h:20047 

Marchionna Tibiletti, Cesarina Groups that are the set-theoretic union of a finite number of 
r-centralizers. (Italian. English summary) 92c:20051 


Items with secondary classifications in 20E34 


Niemenmaa, Markku Problems in loop theory for group theorists. (see 92c:20003) 
Zhao, Ying Classification of inner (q) groups with order a power of 2. (Chinese. English 
summary) 92i:20020 


20E36 General theorems concerning automorphisms of groups 


Gupta, Chander Kanta (with Levin, Frank) Tame range of automorphism groups of free 
polynilpotent groups. 92k:20055 

Khukhro, E. 1. Lie rings and groups that admit an almost regular automorphism of prime 
order. (Russian) 924:20041 

— Groups and Lie rings admitting almost regular automorphisms of prime order. 92a:20030 

Kowol, Gerhard Poly phi von Gruppen. [Polynomial automorphisms of 
groups] 92j:20025 

Levin, Frank see Gupta, Chander Kanta, 92k:20055 

Robinson, Derek J.S. Algorithmic problems for automorphisms and endomorphisms of 
infinite soluble groups. 92c:20052 

Shpil’rain, V.E. Automorphisms of F/R’ groups. 92k:20056 


Items with secondary classifications in 20E36 


Aschbacher, Michael (with Kleidman, Peter B.; Liebeck, Martin W.) Exponents of almost 
simple groups and an application to the restricted Burnside problem. 92k:20058 

Bryant, Roger M. (with Groves, J. R. J.) On automorphisms of relatively free groups. 
92h:20040 

Caranti, A. (with Scoppola, Carlo M.) Endomorphisms of two-generated metabelian groups 
that induce the identity modulo the derived subgroup. 92b:20038 

Cherlin, Gregory L. (with Felgner, Ulrich) Homogeneous solvable groups. 92m:20027 

Dixon, Martyn R. (with Evans, Martin Julian) On groups with a central automorphism of 
infinite order. 92e:20024 

Endimioni, Gérard Groupes dont le centralisateur d’un sous-groupe est d’ordre borné. 
[Groups in which the centralizer of a subgroup has bounded order] 92i:20039 

Evans, Martin Julian see Dixon, Martyn R., 92e:20024 

Felgner, Ulrich see Cherlin, Gregory L., 92m:20027 

Goldstein, Richard Z. Bounded cancellation of automorphisms of free products. 92g:20033 

Groves, J. R. J. see Bryant, Roger M., 92h:20040 

Hoare, A. H. M. On automorphisms of free groups. II. 92i:20022 

Im, Bok-Hee On automorphisms of certain unipotent subgroups of Chevalley groups of type 
Dj. 924:20060 

Imrich, Wilfried (with Krstié, Sava; Turner, E. C.) On the rank of fixed point sets of 
automorphisms of free groups. 92i:20023 

Jabara, Enrico A note on groups with a uniform automorphism of prime power order. 
(Italian. English summary) 92c:20070 

Kleidman, Peter B. see Aschbacher, Michael; et al., 92k:20058 

Krsti¢, Sava see Imrich, Wilfried; et al., 92i:20023 

Levchuk, V.M. Automorphisms of unipotent subgroups of groups of Lie type of small 
ranks. (Russian) 92k:20085 

Liebeck, Martin W. see Aschbacher, Michael; et al., 92k:20058 

Scoppola, Carlo M. see Caranti, A., 92b:20038 

Turner, E.C. see Imrich, Wilfried; et al., 92i:20023 





20E42 Groups with a BN-pair; buildings [see also 51E24] 

Seifert, Benedict G. Non-type-preserving automorphism groups of buildings and normaliz- 
ing Tits systems. 92c:20053 

Smith, Stephen D. Weights and covers of chamber systems. 92c:20054 

Timmesfeld, F.G. Groups generated by k-root subgroups. 92j:20026 


Items with secondary classifications in 20E42 

Chermak, Andrew (with Delgado, Alberto L.) J-modules for local BN-pairs. 92d:20017 

Delgado, Alberto L. see Chermak, Andrew, 92d:20017 

Fisher, Tony J. A bound for the dimension of Ho(.¥) of modules V (A; + A;) for A)(q). 
92h:20029 

Lempken, Wolfgang (with Parker, Christopher; Rowley, Peter) (S3,Ss)- and (S3, S¢)- 
amalgams. 92j:20010 

Parker, Christopher see Lempken, Wolfgang; et al., 92j:20010 


20F Special aspects of infinite or finite groups 


Renner, Lex E. Finite monoids of Lie type. 92h:20093 
Rowley, Peter see Lempken, Wolfgang; et al., 92j:20010 


20E99 None of the above, but in this section 
Hoare, A. H. M. On generalizing Stallings’ pregroup. 92k:20057 


20Fxx Special aspects of infinite or finite groups 


20F05 Generators, relations, and presentations 


Alperin, Roger C. Hypergeometric groups. 92h:20048 

Anshel, Iris Lee On two-relator groups. 92c:20055 

— An introduction to a class of two-relator groups. 92i:20033 

— A Freiheitssatz for a class of two-relator groups. 92i:20032 

Aschbacher, Michael (with Kleidman, Peter B.; Liebeck, Martin W.) Exponents of almost 
simple groups and an application to the restricted Burnside problem. 92k:20058 

Bogley, William A. An identity theorem for multi-relator groups. 92c:20056 

Brookes, C. J. B. Finite presentability and Heisenberg representations. 92g:20048 

Brunner, A. M. A two-generator presentation for the Picard group. 92h:20049 

Campbell, C. M. (with Robertson, Edmund; Williams, Peter D.) On the efficiency of some 
direct powers of groups. 92c:20057 

Conder, Marston A question by Graham Higman concerning quotients of the (2, 3, 7) 
triangle group. 92i:20034 

— (with Robertson, Edmund; Williams, Peter D.) Presentations for 3-dimensional special 
linear groups over integer rings. 92h:20050 

Duncan, Andrew J. (with Howie, James) Weinbaum’s conjecture on unique subwords of 
nonperiodic words. 92j:20027 

El-Bast, Zeinab A. Abd see El-Mosalamy, Mohamed S., 92h:20051 

El-Mosalamy, Mohamed S. (with El-Bast, Zeinab A. Abd) Converting any finite presenta- 
tion to a T(6)-presentation. (Arabic summary) 92h:20051 

Fine, Benjamin (with Rosenberger, Gerhard) Generalizing algebraic properties of Fuchsian 
groups. 92h:20052 

Gersten, S. M. (with Short, H. B.) Small cancellation theory and automatic groups. 
92c:20058 

Gil Trilles, Antoni (with Martinez Verduch, J. Ramén) Nonabelian mutation of the group 
C,, x C2. (Spanish. English summary) (see 92m:00048) 

Grove, Larry C. (with McShane, Janet M.) On Coxeter’s groups G?%”. 92h:20053 

— see also Wang, K. S., 92f:20031 

Gupta, Chander Kanta (with Romanovskii, N.S.) A generalized Freiheitssatz for centre-by- 
metabelian groups. 92m:20023 

Howie, James see Duncan, Andrew J., 92j:20027 

Ivanov, S. V. Relation modules and relation bimodules of groups, semigroups and 
associative algebras. 92c:20059 

— Addendum and errata: “Relation modules and relation bimodules of groups, semigroups 
and associative algebras” [Internat. J. Algebra Comput. 1 (1991), no. 1, 89-114; MR 
92¢:20059]. 

Khramtsov, D.G. On the fundamental group of a 3-manifold. (Russian) 92g:20049 

Kleidman, Peter B. see Aschbacher, Michael; et al., 92k:20058 

Levine, Jerome P. Finitely-presented groups with long lower central series. 92j:20028 

Liebeck, Martin W. see Aschbacher, Michael; et al., 92k:20058 

Lustig, Martin On the rank, the deficiency and the homological dimension of groups: the 
computation of a lower bound via Fox ideals. 92¢:20060 

Martinez Verduch, J. Ramén_ see Gil Trilles, Antoni, (92m:00048) 

McCool, James A class of one-relator groups with centre. 92g:20050 

McShane, Janet M. see Grove, Larry C., 92h:20053 

Nabney, Ian T. Growth functions for groups and recurrence sequences. 92f:20030 

Pride, Stephen J. The (co)homology of groups given by presentations in which each defining 
relator involves at most two types of generators. 92m:20024 

Robertson, Edmund see Campbell, C. M.; et al., 92c:20057 and Conder, Marston; et al., 
92h:20050 

Romanovskii, N.S. see Gupta, Chander Kanta, 92m:20023 

Rosenberger, Gerhard Minimal generating systems for plane discontinuous groups and an 
equation in free groups. 92c¢:20061 

— see also Fine, Benjamin, 92h:20052 

Satarov, Zh. S. Generators and defining relations in the special multiplicative group over a 
weakly perfect ring. (Russian) 92b:20033 

Short, H. B. see Gersten, S. M., 92¢:20058 

Skopin, A. I. Graphic construction of a collecting formula for some types of graphs. 
(Russian) 92d:20042 

Smith, Tara L. Generalized Clifford-Littlewood-Eckmann groups. 92e:20019 

Thomas, Richard M. The Fibonacci groups revisited. 92h:20054 

— On a question of Kim concerning certain group presentations. 92j:20029 

— On the torsion of certain finitely presented groups. 92k:20059 

Tsaranov, S. V. On a generalization of Coxeter groups. 92c:20062 

Wang, K.S. (with Grove, Larry C.) A note on Von Dyck groups. 92f:20031 

Williams, Peter D. see Campbell, C. M.; et al., 92c:20057 and Conder, Marston; et al., 
92h:20050 

Wilson, John S. Finite presentations of pro-p groups and discrete groups. 92k:20060 


Items with secondary classifications in 20F05 

Albar, Muhammad A. (with Al-Hamed, Maha A.) The affine Weyl group of type C;. 
92j:20037 

Al-Hamed, Maha A. see Albar, Muhammad A.., 92j:20037 

Alsina, Claudi (with Garcia Roig, J.-L.) How many homothetic friezes are there? 
92a:51013 

Baumslag, Gilbert (with Cannonito, Frank B.; Robinson, Derek J. S.; Segal, Dan) The 
algorithmic theory of polycyclic-by-finite groups. 92i:20036 





20F05 


Bhandari, Ashwani K. On the generators of subgroups of unit groups of group rings. 
92m:20006 

Bonahon, Francis Geodesic currents on negatively curved groups. 92g:57002 

Brick, Stephen G. Relative normal-convexity and amalgamations. 92g:20037 

Biindgen, Reinhard Applying term rewriting methods to finite groups. 92f:68080 

Cannonito, Frank B. see Baumslag, Gilbert; et al., 92i:20036 

Cohen, Arjeh M. Presentations for certain finite quaternionic reflection groups. 92k:20094 

Conder, Marston (with Morton, Margaret J.) A note on groups associated with 4-arc- 
transitive cubic graphs. 92g:05097 

Daiia Volta, F. (with Tamburini Bellani, Maria Chiara) Generation of some orthogonal 
groups by a set of three involutions. 92b:20055 

Duncan, Andrew J. (with Howie, James) The nonorientable genus problem for one-relator 
products. 92k:20061 

Dyer, Matthew On the “Bruhat graph” of a Coxeter system. 92c:20076 

Edjvet, Martin (with Howie, James) The solution of length four equations over groups. 
92c:20040 

Ellers, Erich W. (with Malzan, Jerry) Products of positive transvections in the real 
symplectic group. 924:20059 

Fine, Benjamin (with Rohl, Frank; Rosenberger, Gerhard) Two-generator subgroups of 
certain HNN groups. 92¢:20041 

— Subgroup presentations without coset representatives. 92a:57001 

Freiman, Gregory A. (with Schein, Boris M.) Interconnections between the structure theory 
of set addition and rewritability in groups. 92c:20077 

Garcia Roig, J.-L. see Alsina, Claudi, 92a:51013 

Howie, James see Edjvet, Martin, 92c:20040 and Duncan, Andrew J., 92k:20061 

Huck, Giinther Embeddings of acyclic 2-complexes in S* with contractible complement. 
92a:57002 

Johnson, David Lawrence Rational growth of wreath products. 92g:20045 

Kriiger, Bertolt * Automorphe Mengen und die artinschen Zopfgruppen. (German) 
[Automorphic sets and Artin braid groups] 92f:20037 

Levinson, Henry W. Cayley diagrams. 92d:05071 

Lustig, Martin Nielsen equivalence and simple-homotopy type. 92a:57025 

— (with Moriah, Yoav) Nielsen equivalence in Fuchsian groups and Seifert fibered spaces. 
92e:57001 

Maclachlan, Colin (with Reid, Alan W.) Parametrizing Fuchsian subgroups of the Bianchi 
groups. 92d:11040 

Madlener, K. (with Narendran, Paliath; Otto, Friedrich) A specialized completion 
procedure for monadic string-rewriting systems presenting groups. (see 92g:68004) 

Maizan, Jerry see Ellers, Erich W., 92d:20059 

Moriah, Yoav see Lustig, Martin, 92e:57001 

Morton, Margaret J. see Conder, Marston, 92g:05097 

Mushtaq, Q. Parametrization of all homomorphisms from PGL(2, Z) into PGL(2, q). 
92m:20041 

— (with Shaheen, F.) Some special circuits in coset diagrams. 92m:20044 

Narendran, Paliath see Madlener, K.; et al., (92g:68004) 

Otto, Friedrich see Madlener, K.; et al., (92g:68004) 

Perrin, Dominique Equations in words. 92f:68083 

Reid, Alan W. see Maclachlan, Colin, 92d:11040 

Ribes, Luis (with Wong, Kieh) On the minimal number of generators of certain groups. 
92j:20023 

Robinson, Derek J.S. see Baumslag, Gilbert; et al., 92i:20036 

Rohl, Frank see Fine, Benjamin; et al., 92c:20041 

Rosenberger, Gerhard Faithful linear representations and residual finiteness of some 
products of cyclics with one relation. (Russian) 92g:20014 

— see also Fine, Benjamin; et al., 92c:20041 

Scapellato, Raffaele (with Verardi, Libero) Sur les ensembles générateurs minimaux d’un 
groupe fini. [On the minimum generating sets of a finite group] 92e:20010 

Schein, Boris M. see Freiman, Gregory A., 92c:20077 

Segal, Dan see Baumslag, Gilbert; et al., 92i:20036 

Shaheen, F. see Mushtaq, Q., 92m:20044 

Sims, Charles C. The Knuth-Bendix procedure for strings as a substitute for coset 
enumeration. 92k:68051 

Smith, Tara L. Generalized Clifford-Littlewood-Eckmann groups. II. Linear representations 
and applications. 92e:20020 

Soicher, Leonard H. More on the group Ys55 and the projective plane of order 3. 92d:20020 

Takeuchi, Mitsuhiro A two-parameter quantization of GL(n) (summary). 92f:16049 

Tamburini Bellani, Maria Chiara see Dalla Volta, F., 92b:20055 

Tang, Francis C. Y. Some results on 1-relator quotients of free products. 92c:20042 

Tsaranov, S. V. Finite generalized Coxeter groups. 92g:20060 

Verardi, Libero see Scapellato, Raffaele, 92e:20010 

Wong, Kieh see Ribes, Luis, 92j:20023 

Wright, David Lee Two-dimensional Cremona groups acting on simplicial complexes. 
92g:14008 

Yoshiara, Satoshi A classification of flag-transitive classical c.C2-geometries by means of 
generators and relations. 92¢:51024 


20F06 Cancellation theory; application of van Kampen diagrams 
[see also 57M05] 
Comerford, Leo P., Jr. (with Newman, M. F.) Verbal definitions of operations on groups. 
92i:20035 


Gersten, S.M. (with Short, H. B.) Small cancellation theory and automatic groups. II. 
92j:20030 


Newman, M. F. see Comerford, Leo P., Jr., 92i:20035 
Short, H. B. see Gersten, S. M., 92j:20030 


Items with secondary classifications in 20F06 


Collins, Denald J. (with Zieschang, Heiner) Combinatorial theory of groups, and 
fundamental groups. (Russian) 92h:20001 


GROUP THEORY AND GENERALIZATIONS 1992 344 


Edjvet, Martin Equations over groups and a theorem of Higman, Neumann, and Neumann. 
92¢:20039 

— (with Howie, James) The solution of length four equations over groups. 92c¢:20040 

Gersten, S. M. (with Short, H. B.) Small canceliation theory and automatic groups. 
92c:20058 

Howie, James see Edjvet, Martin, 92c:20040 

(Kurchanov, P. F.) see Collins, Donald J., 92h:20001 

Madlener, K. (with Narendran, Paliath; Otto, Friedrich) A specialized completion 
procedure for monadic string-rewriting systems presenting groups. (see 92g:68004) 

Narendran, Paliath see Madlener, K.; et al., (92g:68004) 

Otto, Friedrich see Madlener, K.; et al., (92g:68004) 

Salem, Eliane Premiéres propriétés des groupes hyperboliques. [First properties of 
hyperbolic groups] (see 92f:53050) 

Short, H. B. see Gersten, S. M., 92c:20058 

Strebel, Ralph Appendix. Small cancellation groups. (see 92f:53050) 

Zieschang, Heiner see Collins, Donald J., 92h:20001 


20F10 Word problems, other decision problems, connections 
with logic and automata [see also 03B25, 03D05, 03D40, 
06B25, 08A50, 68Qxx] 


Baumslag, Gilbert (with Cannonito, Frank B.; Robinson, Derek J. S.; Segal, Dan) The 
algorithmic theory of polycyclic-by-finite groups. 92i:20036 

Cai, Jin-Yi Computations over infinite groups. (see 92g:68007) 

Campbell, James T. (with Trouy, Elizabeth C.) When are two elements of GL(2, Z) similar? 
92h:20055 

Cannonito, Frank B. Some algorithms for polycyclic groups. 92i:20037 

— see also Baumslag, Gilbert; et al., 92i:20036 

Duncan, Andrew J. (with Howie, James) The nonorientable genus problem for one-relator 
products. 92k:20061 

Epstein, D. B. A. (with Thurston, W. P.) Combable groups. 92k:20062 

Garzon, Max (with Zalcstein, Yechezkel) On isomorphism testing of a class of 2-nilpotent 
groups. 92k:20063 

Graw, Bernd Decision problems and Coxeter groups. 92e:20621 

Grinblat, V. A. On the occurrence problem in Artin groups. (Russian) 92d:20043 

Groves, J. R. J. Rewriting systems and homology of groups. 92e:20022 

Howie, James The quotient of a free product of groups by a single high-powered relator. III. 
The word problem. 92d:20044 

— see also Duncan, Andrew J., 92k:20061 

Krasil/nikov, A. N. On the finiteness of the basis of identities of groups with a nilpotent 
commutator group. (Russian) 92d:20045 

Linton, Stephen A. Double coset enumeration. 92k:20064 

Lockhart, Jody Meyer The conjugacy problem for graph products with infinite cyclic edge 
groups. 92f:20032 

Morozov, A.S. Ona problem of Higman. (Russian) 92k:20065 

Robinson, Derek J.S. see Baumslag, Gilbert; et al., 92i:20036 

Sapir, M. V. On the word problem in periodic group varieties. 92c:20063 

Segal, Dan see Baumslag, Gilbert; et al., 92i:20036 

Thurston, W. P. see Epstein, D. B. A., 92k:20062 

Trouy, Elizabeth C. see Campbell, James T., 92h:20055 

Waack, Stephan On the parallel complexity of linear groups. (French summary) 92m:20025 

Wrathall, Celia Free partially commutative groups. 92c:20064 

Zalcstein, Yechezkel see Garzon, Max, 92k:20063 


Items with secondary classifications in 20F10 


Baumslag, Gilbert Some reflections on finitely generated metabelian groups. 92b:20028 

Duncan, Andrew J. (with Howie, James) Weinbaum’s conjecture on unique subwords of 
nonperiodic words. 92j:20027 

Epstein, D. B. A. (with Holt, D. F.; Rees, S. E.) The use of Knuth-Bendix methods to solve 
the word problem in automatic groups. 92m:68052 

Garzon, Max (with Zalcstein, Yechezkel) The complexity of Grigorchuk groups with 
application to cryptography. 92j:68032 

Gersten, S. M. (with Short, H. B.) Rational subgroups of biautomatic groups. 92g:20092 

— (with Short, H. B.) Small cancellation theory and automatic groups. II. 92j:20030 

Haug, Frieder Countable existentially closed locally FC-groups. 92g:20055 

Holt, D. F. see Epstein, D. B. A.; et al., 92m:68052 

Howie, James see Duncan, Andrew J., 92j:20027 

Ivanov, S. V. (with Ol'shanskii, A. Yu.) Some applications of graded diagrams in combina- 
torial group theory. 92j:20022 

Koscielski, Antoni (with Pacholski, Leszek) Complexity of unification in free groups and 
free semi-groups. 92m:68043 

Levinson, Henry W. Cayley diagrams. 92d:05071 

Madlener, K. (with Otto, Friedrich) Decidable sentences for context-free groups. 
92c:68096 

Matus, V.N. A remark on the conjugacy problem. (Russian) 92d:20030 

McKenzie, Ralph Some interactions between group theory and the general theory of 
algebras. 92a:08009 

Oger, Francis Cancellation and elementary equivalence of finitely generated finite-by- 
nilpotent groups. 92k:20003 

Ol'shanskii, A. Yu. see Ivanov, S. V., 92j:20022 

Otto, Friedrich see Madlener, K., 92c:68096 

Pacholski, Leszek see Koscielski, Antoni, 92m:68043 

Paterson, Michael S. (with Razborov, A. A.) The set of minimal braids is co-NP-complete. 
92h:68041 

Razb , A.A. see P: , Michael S., 92h:68041 

Rees, S. E. see Epstein, D. B. A.; et al., 92m:68052 

Robinson, Derek J.S. Algorithmic problems for automorphisms and endomorphisms of 
infinite soluble groups. 92c:20052 

Short, H. B. see Gersten, S. M., 92g:20092 and 92j:20030 








345 1992 


Tang, Francis C. Y. Some results on 1-relator quotients of free products. 92¢:20042 
Toffalori, Carlo Weakly normal functions. (Italian summary) 92c:03037 
Zalcstein, Yechezkel see Garzon, Max, 92j:68032 


20F12 Commutator calculus 


Bavard, Christophe Longueur stable des commutateurs. [Stable length of commutators] 
92g:20051 

Gaglione, Anthony M. (with Waldinger, Hermann V.) A theorem on free products of 
special abelian groups. 92h:20056 

Shalev, Aner A note on groups of prime exponent. 92h:20057 

Vaughan-Lee, Michael Collection from the left. 92c:20065 

Waldinger, Hermann V. see Gaglione, Anthony M., 92h:20056 


Items with secondary classifications in 20F12 

Comerford, Jonell A. (with Comerford, Leo P., Jr.; Edmunds, Charles C.) Powers as 
products of commutators. 92d:20029 

Comerford, Leo P., Jr. see Comerford, Jonell A.; et al., 92d:20029 

Dettmann, Beate Schwach nilpotente Gruppen. [Weakly nilpotent groups] 92b:20037 

Edmunds, Charles C. (with Rosenberger, Gerhard) Powers of genus two in free groups. 
92b:20025 

— see also Comerford, Jonell A.; et al., 92d:20029 

Rosenberger, Gerhard see Edmunds, Charles C., 92b:20025 

Rosset, Shmuel The higher lower central series. 92m:20026 

Shpil’rain, V. E. Some applications of free differential calculus in group theory. (Russian) 
92k:20053 

Skopin, A. I. Bases of free metabelian and transmetabelian groups. (Russian) 92k:20047 

Vaughan-Lee, Michael * The restricted Burnside problem. 92c:20001 


20F14 Derived series, central series, and generalizations 


Gupta, Narain A theorem of Sjogren and Hartley on dimension subgroups. 92a:20031 

Kappe, Luise-Charlotte (with Newell, Martin L.) On the n-centre of a group. 92g:20052 

Newell, Martin L. see Kappe, Luise-Charlotte, 92g:20052 

Rosset, Shmuel The higher lower central series. 92m:20026 

Skopin, A. I. The lower central series of a maximal 2-generated transmetabelian group of 
type I of exponent 8. (Russian) 92g:20053 


Items with secondary classifications in 20F14 


Caranti, A. (with Scoppola, Carlo M.) Endomorphisms of two-generated metabelian groups 
that induce the identity modulo the derived subgroup. 92b:20038 

Levchuk, V. M. Central series and series of commutators of certain subgroups of Chevalley 
groups. (Russian) 92g:20074 

Levine, Jerome P. Finitely-presented groups with long lower central series. 92j:20028 

Scoppola, Carlo M. see Caranti, A., 92b:20038 

Shalev, Aner A note on groups of prime exponent. 92h:20057 

Shpil'rain, V. E. Some applications of free differential calculus in group theory. (Russian) 
92k:20053 


20F16 Solvable groups, supersolvable groups 


Amberg, Bernhard Triply factorized groups. 92h:20058 

Beidleman, James C. (with Tomkinson, M. J.) Hypercentral and nilpotent injectors of .“- 
groups. 92c:20066 

— (with Smith, Howard) On supersolubility in some groups with finitely generated Fitting 
radical. 92e:20023 

Celentani, Maria Rosaria On groups with many pronormal subgroups. 92k:20066 

Cherlin, Gregory L. (with Felgner, Ulrich) Homogeneous solvable groups. 92m:20027 

Cossey, John The Wielandt subgroup of a polycyclic group. 92m:20028 

Ezquerro Marin, Luis Miguel A characterization of subgroups normally embedded in 
solvable finite groups. (Spanish) (see 92g:00024) 

Felgner, Ulrich see Cherlin, Gregory L., 92m:20027 

Franciosi, Silvana (with de Giovanni, Francesco) On products of locally polycyclic groups. 
92a:20032 

— (with de Giovanni, Francesco; Heineken, Hermann; Newell, Martin L.) On the Fitting 
length of a soluble product of nilpotent groups. 92j:20031 

— (with de Giovanni, Francesco) On trifactorized soluble groups of finite rank. 92f:20033 

de Giovanni, Francesco Soluble groups with many min-by-max quotients. (Italian summary) 
92¢:20067 

— see also Franciosi, Silvana, 92a:20032; 92f:20033 and 92j:20031 

Gupta, Chander Kanta Conjugacy in certain solvable groups. 92a:20033 

Heineken, Hermann see Franciosi, Silvana; et al., 92j:20031 

Kim, Pan Soo (with Rhemtulla, Akbar; Smith, Howard) A characterization of infinite 
metabelian groups. 92m:20029 

Klyatskaya, L.M. A class of metabelian groups with complemented subgroups. (Russian. 
Ukrainian summary) 92m:20030 

Maj, Mercede On the derived length of groups with some permutational property. 
92:20034 

Nazzal, S.H. (with Rhemtulla, Akbar) Centrality in abelian by polycyclic groups. 
92d:20046 

Newell, Martin L. see Franciosi, Silvana; et al., 92j:20031 

Rhemtulla, Akbar see Nazzal, S. H., 92d:20046 and Kim, Pan Soo; et al., 92m:20029 

Sabbagh, Gabriel (with Wilson, John S.) Polycyclic groups, finite images, and elementary 
equivalence. 92k:20067 

Smith, Howard see Beidleman, James C., 92e:20023 and Kim, Pan Soo; et al., 92m:20029 

Tomkinson, M. J. see Beidleman, James C., 92c:20066 

Wilson, John S. Two-generator conditions for residually finite groups. 92k:20068 

— see also Sabbagh, Gabriel, 92k:20067 


20F Special aspects of infinite or finite groups 


Items with secondary classifications in 20F16 

Cannonito, Frank B. Some algorithms for polycyclic groups. 92i:20037 

Celentani, Maria Rosaria On groups with many quasinormal subgroups. (Italian summary) 
92k:20044 

Franciosi, Silvana On groups with certain finiteness conditions on homomorphic images. 
92¢:20071 

Gluck, David A conjecture about character degrees of solvable groups. 92g:20010 

Guo, Xiu Yun The normal index of maximal subgroups of finite groups. (Chinese) 
92g:20028 

Gupta, Chander Kanta (with Romanovskii, N.S.) A generalized Freiheitssatz for centre-by- 
metabelian groups. 92m:20023 

Hewitt, P.R. The paucity of “large” solvable groups. 92j:20048 

Kovacs, L.G. (with Sim, Hyo-Seob) Generating finite soluble groups. 92k:20027 

Krasil‘nikov, A. N. On the finiteness of the basis of identities of groups with a nilpotent 
commutator group. (Russian) 924:20045 

Nabney, Ian T. Growth functions for groups and recurrence sequences. 92f:20030 

Ponomarev, K. N. Minimal solvable algebraic groups and their abstract isomorphisms. 
(Russian) 92f:20044 

Ren, Yong Cai Finite groups whose maximal subgroups are (A)-groups. (Chinese) 
92h:20034 

Robinson, Derek J.S. Algorithmic problems for automorphisms and endomorphisms of 
infinite soluble groups. 92¢:20052 

Romanovskii, N.S. see Gupta, Chander Kanta, 92m:20023 

Sim, Hyo-Seob see Kovacs, L. G., 92k:20027 


20F17 Formations of groups, Fitting classes [see also 20D10] 


Bolado Caballero, A. (with Martinez Verduch, J. Ram6én) Fischer subgroups in %7-groups. 
The Hartley theorem. (Spanish. English summary) (see 92m:00048) 

Martinez Verduch, J. Ramén see Bolado Caballero, A., (92m:00048) 

Semenchuk, V. N. The role of minimal non-§-groups in the theory of formations. (Russian) 
92b:20034 

Zhu, De Gao On Ej-groups. (Chinese. English summary) 92b:20035 


Items with secondary classifications in 20F17 


Anis‘kov, V. V. Minimal local non-o,()-formations of finite groups. (Russian) 92d:20021 

Beidleman, James C. (with Tomkinson, M. J.) Hypercentral and nilpotent injectors of .4- 
groups. 92c:20066 

McCann, Brendan A Fitting class construction. 92k:20028 

Tomkinson, M. J. see Beidleman, James C., 92c:20066 

Watson, R.O. The lattice of finite varieties. 92b:20029 


20F18 Nilpotent groups 


Casacuberta, Carles (with Hilton, Peter J.) Calculating the Mislin genus for a certain family 
of nilpotent groups. 92j:20032 

Endimioni, Gérard Applications rationnelles d’un groupe nilpotent. (English summary) 
[Rational functions on a nilpotent group] 92k:20069 

Gupta, Chander Kanta (with Gupta, Narain) Lifting primitivity of free nilpotent groups. 
92:20035 

Gupta, Narain see Gupta, Chander Kanta, 92f:20035 

Heineken, Hermann Nilpotent groups of class two that can appear as central quotient 
groups. 92c:20068 

Hilton, Peter J. see Casacuberta, Carles, 92j:20032 

Kurdachenko, L. A. (with Tushev, A. V.; Zaitsev, D. I.) Noetherian modules over nilpotent 
groups of finite rank. 92b:20036 

Ponomarev, K. N. Factor-morphisms of nilpotent groups. (Russian) 92g:20054 

Sherman, Gary J. An elementary proof that periodicity and generalized-periodicity are 
equivalent in nilpotent groups. 

Tushev, A. V. see Kurdachenko, L. A.; et al., 92b:20036 

Zaitsev, D.I. see Kurdachenko, L. A.; et al., 92b:20036 


Items with secondary classifications in 20F18 


Baumslag, Gilbert Some reflections on finitely generated metabelian groups. 92b:20028 

Beidleman, James C. (with Robinson, Derek J. S.) On the structure of the normal 
subgroups of a group: nilpotency. 92m:20022 

Caranti, A. (with Scoppola, Carlo M.) Endomorphisms of two-generated metabelian groups 
that induce the identity modulo the derived subgroup. 92b:20038 

Endimioni, Gérard Groupes dont le centralisateur d’un sous-groupe est d’ordre borné. 
[Groups in which the centralizer of a subgroup has bounded order] 92i:20039 

Franciosi, Silvana (with de Giovanni, Francesco; Heineken, Hermann; Newell, Martin L.) 
On the Fitting length of a soluble product of nilpotent groups. 92j:20031 

de Giovanni, Francesco see Franciosi, Silvana; et al., 92j:20031 

Gupta, Narain A theorem of Sjogren and Hartley on dimension subgroups. 92a:20031 

Heineken, Hermann see Franciosi, Silvana; et al., 92j:20031 

Khukhro, E. I. Lie rings and groups that admit an almost regular automorphism of prime 
order. (Russian) 92d:20041 

Newell, Martin L. see Franciosi, Silvana; et al., 92j:20031 

Oger, Francis Cancellation and elementary equivalence of finitely generated finite-by- 
nilpotent groups. 92k:20003 

Papistas, Athanassios A note on automorphism group of an n-generator nilpotent Lie 
algebra. 92c:20073 

Robinson, Derek J.S. see Beidleman, James C., 92m:20022 

Scoppola, Carlo M. see Caranti, A., 92b:20038 

Seifter, Norbert Groups acting on graphs with polynomial growth. 92g:05099 

Shalev, Aner A note on groups of prime exponent. 92h:20057 

Tang, Francis C. Y. On the subgroup separability of generalized free products of nilpotent 
groups. 92¢:20043 

Vaughan-Lee, Michael Collection from the left. 92¢:20065 








20F19 


20Fi9 Generalizations of solvable and nilpotent groups 


Boffa, Maurice (with Point, Francoise) Identités de Thue-Morse dans les groupes. (English 
summary) [Thue-Morse identities in groups] 92c:20069 

Bruno, B. (with Phillips, Richard E.) On multipliers of Heineken-Mohamed type groups. 
92k:20070 

Dettmann, Beate Schwach nilpotente Gruppen. [Weakly nilpotent groups] 92b:20037 

Jabara, Enrico A note on groups with a uniform automorphism of prime power order. 
(Italian. English summary) 92c:20070 

Kachemtseva, Z. M. Letter to the editors: “On the wreath product of Z-groups” [Algebra i 
Logika 28 (1989), no. 3, 298-310; MR 91j:20090]. (Russian) 92m:20031 

Phillips, Richard E. see Bruno, B., 92k:20070 

Point, Francoise see Boffa, Maurice, 92c:20069 

Roman’‘kov, V. A. Primitive elements of free groups of rank 3. (Russian) 92i:20038 

Zhang, Cheng Ye (with Zhang, Qin Hai) A theorem on SY groups. (Chinese. English 
summary) 

Zhang, Qin Hai see Zhang, Cheng Ye; et al. 


Items with secondary classifications in 20F19 

Cao, You An Finite solvable complete groups obtained from Chevalley groups. (Chinese) 
92h:20071 

Franciosi, Silvana (with de Giovanni, Francesco; Tomkinson, M. J.) Groups with Cernikov 
conjugacy classes. 92d:20047 

de Giovanni, Francesco see Franciosi, Silvana; et al., 92d:20047 

Seifter, Norbert Properties of graphs with polynomial growth. 92i:05106 

Shumyatskii, P. V. Groups in which the involution centralizer satisfies min-z. (Russian) 
92a:20040 

Subbotin, I. Ya. Weakly central extensions of groups. (Russian. Ukrainian summary) 
92k:20051 

Tomkinson, M. J. see Franciosi, Silvana; et al., 92d:20047 

Wehrfritz, B. A. F. Polycyclic group algebras and theorems of Harper and Lichtman. 
92k:20096 

Zhang, Ji Ping On the finite group with a TI Sylow p-subgroup. (Chinese summary) 
924:20025 


20F22 Other classes of groups defined by subgroup chains 


Banu, Sajeda Paraheight of linear groups. 92k:20071 
Franciosi, Silvana On groups with certain finiteness conditions on homomorphic images. 
92c:20071 


Items with secondary classifications in 20F22 


Tushev, A. V. Irreducible representations of locally polycyclic groups over an absolute- 
valued field. (Russian. Ukrainian summary) 92a:20016 


20F24 FC-groups and their generalizations 


Curzio, Mario (with Longobardi, Patrizia; Maj, Mercede; Rhemtulla, Akbar) Groups with 
many rewritable products. 92j:20033 

Franciosi, Silvana (with de Giovanni, Francesco; Tomkinson, M. J.) Groups with Cernikov 
conjugacy classes. 92d:20047 

de Giovanni, Francesco see Franciosi, Silvana; et al., 92d:20047 

Hartley, Brian (with Otal, Javier; Pefia, Juan Manuel) Locally graded minimal non CC- 
groups are p-groups. 92k:20072 

Haug, Frieder Countable existentially closed locally FC-groups. 92g:20055 

— An amalgamation theorem for locally FC-groups. 92d:20048 

Longobardi, Patrizia see Curzio, Mario; et al., 92j:20033 

Maj, Mercede see Curzio, Mario; et al., 92j:20033 

Otal, Javier (with Peiia, Juan Manuel) Sylow theory of CC-groups: a survey. (see 
92c:20003) 

— (with Peiia, Juan Manuel; Tomkinson, M. J.) Locally inner automorphisms of CC-groups. 
92h:20059 

— (with Pefia, Juan Manuel) Sylow theory of CC-groups. 92k:20073 

— see also Hartley, Brian; et al., 92k:20072 

Peiia, Juan Manuel see Otal, Javier; et al., 92h:20059; Hartley, Brian; et al., 92k:20072; Otal, 
Javier, 92k:20073 and (92c:20003) 

Piochi, Brunetto Permutability of centre-by-finite groups. (Italian summary) 92h:20060 

Rhemtulla, Akbar see Curzio, Mario; et al., 92j:20033 

Tomkinson, M. J. see Franciosi, Silvana; et al., 92d:20047 and Otal, Javier; et al., 92h:20059 

Zhang, Zhi Rang A structure theorem for FC-groups. (Chinese) 92k:20074 


Items with secondary classifications in 20F24 

Bertram, Edward A. (with Herzog, Marcel; Mann, Avinoam) On a graph related to 
conjugacy classes of groups. 92f:20024 

Celentani, Maria Rosaria On groups with many pronormal subgroups. 92k:20066 

Herzog, Marcel see Bertram, Edward A.; et al., 92f:20024 

Mann, Avinoam see Bertram, Edward A.; et al., 92f:20024 

Marchionna Tibiletti, Cesarina Groups that are the set-theoretic union of a finite number of 
r-centralizers. (Italian. English summary) 92c:20051 

Wu, Ta Sun (with Yang, Jeong Sheng) FC-groups and their generalizations. 92f:22005 

Yang, Jeong Sheng see Wu, Ta Sun, 92f:22005 


20F28 Automorphism groups of groups [see also 20E36] 


Brandl, Rolf (with Franciosi, Silvana; de Giovanni, Francesco) Minimal nonnilpotent 
groups as automorphism groups. 92g:20056 

Caranti, A. (with Scoppola, Carlo M.) Endomorphisms of two-generated metabelian groups 
that induce the identity modulo the derived subgroup. 92b:20038 

Dixon, Martyn R. (with Evans, Martin Julian) Periodic divisible-by-finite automorphism 
groups are finite. 92b:20039 


GROUP THEORY AND GENERALIZATIONS 


1992 346 


— (with Evans, Martin Julian) On groups with a central automorphism of infinite order. 
92e:20024 

Endimioni, Gérard Groupes dont le centralisateur d’un sous-groupe est d’ordre borné. 
[Groups in which the centralizer of a subgroup has bounded order] 92i:20039 

Evans, Martin Julian see Dixon, Martyn R., 92b:20039 and 92e:20024 

Formanek, Edward Characterizing a free group in its automorphism group. 92a:20034 

Franciosi, Silvana see Brandl, Rolf; et al., 92g:20056 

de Giovanni, Francesco see Brandl, Rolf; et al., 92g:20056 

Menegazzo, F. (with Tomkinson, M. J.) Groups with trivial virtual automorphism group. 
92¢:20072 

Scoppola, Carlo M. see Caranti, A., 92b:20038 

Soules, Panagiotis Determination of all rigid groups of order not exceeding 60. 92d:20049 

Tavgen’, O. 1. The nonarithmeticity of the groups Aut F, and Out F,,. (Russian. English 
summary) 92j:20034 

Tomkinson, M. J. see Menegazzo, F., 92c:20072 


Items with secondary classifications in 20F28 


Aschbacher, Michael (with Kleidman, Peter B.; Liebeck, Martin W.) Exponents of almost 
simple groups and an application to the restricted Burnside problem. 92k:20058 

Bestvina, Mladen (with Handel, Michael) Train tracks and automorphisms of free groups. 
92m:20017 

Bodnarchuk, Yu. V. Automorphisms of multiple wreath products of abelian p-groups. 
(Russian. Ukrainian summary) 92m:20047 

Gupta, Chander Kanta (with Levin, Frank) Tame range of automorphism groups of free 
polynilpotent groups. 92k:20055 

— (with Gupta, Narain) Lifting primitivity of free nilpotent groups. 92f:20035 

Gupta, Narain see Gupta, Chander Kanta, 92f:20035 

Handel, Michael see Bestvina, Mladen, 92m:20017 

Khukhro, E. I. Groups and Lie rings admitting almost regular automorphisms of prime 
order. 92a:20030 

Kleidman, Peter B. see Aschbacher, Michael; et al., 92k:20058 

Kowol, Gerhard Poly ymorphi von Gruppen. [Polynomial automorphisms of 
groups] 92j:20025 

Krsti¢, Sava Finitely generated virtually free groups have finitely presented automorphism 
group. 92k:20041 

Levchuk, V.M. Automorphisms of unipotent subgroups of groups of Lie type of small 
ranks. (Russian) 92k:20085 

— Automorphisms of unipotent subgroups of Chevalley groups. (Russian) 92k:20086 

Levin, Frank see Gupta, Chander Kanta, 92k:20055 

Liebeck, Martin W. see Aschbacher, Michael; et al., 92k:20058 

Maxson, C. J. (with Smith, Kirby C.) Centralizer near-rings acting on SE-groups. 
92e:16035 

Otal, Javier (with Pena, Juan Manuel; Tomkinson, M. J.) Locally inner automorphisms of 
CC-groups. 92h:20059 

Panagopoulos, John Central automorphisms of standard wreath products. 92c:20048 

Paulin, Frédéric Outer automorphisms of hyperbolic groups and small actions on R-trees. 
92g:57003 

Pefia, Juan Manuel see Otal, Javier; et al., 92h:20059 

Roman‘kov, V. A. Primitive elements of free groups of rank 3. (Russian) 92i:20038 

Seifter, Norbert Properties of graphs with polynomial growth. 92i:05106 

Smillie, John (with Vogtmann, Karen) Automorphisms of SL2 of imaginary quadratic 
integers. 92b:20054 

Smith, Kirby C. see Maxson, C. J., 92e:16035 

Tomkinson, M. J. see Otal, Javier; et al., 92h:20059 

Vogtmann, Karen Local structure of some Out(F,,)-complexes. 92d:57002 

— see also Smillie, John, 92b:20054 





20F29 Representations of groups as automorphism groups of 
algebraic systems 


Dugas, Manfred (with Gobel, Riidiger) Automorphisms of torsion-free nilpotent groups of 
class two. 92j:20035 

Gobel, Riidiger see Dugas, Manfred, 92j:20035 

Papistas, Athanassios A note on automorphism group of an n-generator nilpotent Lie 
algebra. 92¢:20073 


Items with secondary classifications in 20F29 

Kim, Ki Hang (with Roush, F. W.) On the automorphism groups of subshifts. 92j:28009 

Kuribayashi, Akikazu see Kuribayashi, Izumi, 92a:30041 

Kuribayashi, Izumi (with Kuribayashi, Akikazu) Automorphism groups of compact 
Riemann surfaces of genera three and four. 92a:30041 

Le Ty Kuok Tkhang Varieties of representations and their subvarieties of homology jumps 
for certain knot groups. (Russian) 92k:20078 

O’Meara, K.C. (with Wood, Graham) The structure of the automorphism group of a 
Croisot-Teissier semigroup. 92e:20052 

Roush, F. W. see Kim, Ki Hang, 92j:28009 

Toktosunov, Zh. N. A semidirect problem of the embedding of algebraic number fields with 
a solvable kernel. (Russian. English summary) 92j:12007 

Wood, Graham see O’Meara, K. C., 92e:20052 


20F32 Geometric group theory [see also 05C25, 20Exx, 20Gxx] 


Duncan, Andrew J. (with Howie, James) The genus problem for one-relator products of 
locally indicable groups. 92i:20040 

Heiss, Stefan On a parabolic system of type M2. 92i:20043 

Hillman, Jonathan A. Elementary amenable groups and 4-manifolds with Euler characteris- 
tic 0. 92g:20057 

Howie, James Nonsingular systems of two length three equations over a group. 92i:20041 

— see also Duncan, Andrew J., 92i:20040 

Moszner, Zenon Sur l’orientation d’un groupe. [On the orientation of a group] 92a:20035 





347 1992 


Oshanskii, A. Yu. Periodic quotient groups of hyperbolic groups. (Russian) 92d:20050 

Parry, Walter Growth series of some wreath products. 92h:20061 

Rowley, Peter Minimal parabolic systems with diagram o——o——o——=o **ARTWORK for 
MR ISSUE**. 92i:20042 

Stein, Melanie Groups of piecewise linear homeomorphisms. 92k:20075 

Voss, Heinz-Jiirgen Symmetries of group-triangulations. 92d:20051 

— Groups and triangulations of oriented surfaces. 92a:20036 

Weiss, Richard Mark A geometric characterization of the groups M;2, He and Ru. 
92k:20076 


Items with secondary classifications in 20F32 

Babai, Laszl6 (with Goodman, Albert J.; Lovasz, Laszl6) Graphs with given automorphism 
group and few edge orbits. 92h:05066 

Bestvina, Mladen (with Handel, Michael) Train tracks and automorphisms of free groups. 
92m:20017 

Bogley, William A. Local collapses for diagrammatic reducibility. 92j:57002 

— An identity theorem for multi-relator groups. 92c:20056 

Bonahon, Francis Geodesic currents on negatively curved groups. 92g:57002 

Brand, Neal Isomorphisms of objects admitting elementary abelian p-group actions. 
92j:05089 

Cameron, Peter J. (with Hall, J. 1.) Some groups generated by transvection subgroups. 
92g:20078 

Cohen, Arjeh M. Local recognition of graphs, buildings, and related geometries. 92a:51009 

Coornaert, Michel (with Delzant, Thomas; Papadopoulos, Athanase D.) * Géométrie et 
théorie des groupes. (French) [Geometry and theory of groups] 92f:57003 

Cowan, David F. (with Reilly, Norman R.) Characterizations of Schutzenberger graphs. 
(see 92m:00061) 

Delzant, Thomas see Coornaert, Michel; et al., 92f:57003 

Droms, Carl (with Lewin, Jacques; Servatius, Herman) Tree groups and the 4-string pure 
braid group. 92b:20040 

Du, Jie Sign types and Kazhdan-Lusztig cells. 92¢:20089 

Duncan, Andrew J. (with Howie, James) The nonorientable genus problem for one-relator 
products. 92k:20061 

Edjvet, Martin Equations over groups and a theorem of Higman, Neumann, and Neumann. 
92¢:20039 

Epstein, D. B. A. (with Thurston, W. P.) Combable groups. 92k:20062 

Evans, Anthony B. On elementary abelian Cartesian groups. 92d:20077 

Gersten, S.M. (with Short, H. B.) Rational subgroups of biautomatic groups. 92g:20092 

Ghys, Etienne (with de la Harpe, Pierre) Panorama. (French) (see 92f:53050) 

— Les groupes hyperboliques. [Hyperbolic groups] 92f:57004 

— see also Hyperbolic groups in the theory of Mikhael Gromov, 92f:53050 

Goodman, Albert J. see Babai, Laszl6; et al., 92h:05066 

Grigorchuk, R. 1. (with Kurchanov, P. F.) Some problems in group theory that are 
connected with geometry. (Russian) 92e:20002 

Hachenberger, Dirk Constructions of large translation nets with nonabelian translation 
groups. 92h:51011 

Hall, J. 1. see Cameron, Peter J., 92g:20078 

Handel, Michael see Bestvina, Mladen, 92m:20017 

de la Harpe, Pierre see Ghys, Etienne, (92f:53050) and Hyperbolic groups in the theory of 
Mikhael Gromov, 92£:53050 

Howie, James The quotient of a free product of grcups by a single high-powered relator. III. 
The word problem. 924:20044 

— see also Duncan, Andrew J., 92k:20061 

Humphreys, James E. * Reflection groups and Coxeter groups. 92h:20002 

Ivanov, S. V. (with Ol/shanskii, A. Yu.) Some applications of graded diagrams in combina- 
torial group theory. 92j:20022 

— Relation modules and relation bimodules of groups, semigroups and associative algebras. 
92¢:20059 

Jackson, Wen-Ai A characterisation of P,,, among the symmetric designs using elations. 
92i:51007a 

— Elations and symmetric designs having projective subspaces. 92i:51007b 

Jung, H. A. Some results on ends and automorphisms of graphs. 92j:05091 

Kurchanov, P. F. see Grigorchuk, R. I., 92e:20002 

Lewin, Jacques see Droms, Carl; et al., 92b:20040 

Lovasz, Laszlé6 see Babai, Laszl6; et al., 92h:05066 

Mihalik, Michael L. (with Tschantz, Steven T.) Semistability of amalgamated products, 
HNN-extensions, and all one-relator groups. 92k:57002b 

— (with Tschantz, Steven T.) Semistability of amalgamated products and HNN-extensions. 
92k:57002a 

Ol'shanskii, A. Yu. see Ivanov, S. V., 92j:20022 

Papadopoulos, Athanase D. see Coornaert, Michel; et al., 92£:57003 

Reilly, Norman R. see Cowan, David F., (92m:00061) 

Rimlinger, Frank The structure of Promislow’s continuous free product. 92d:20034 

Rosebrock, Stephan A reduced spherical diagram into a ribbon-disk complement and 
related examples. 92h:57006 

Servatius, Herman see Droms, Carl; et al., 92b:20040 

Short, H. B. see Gersten, S. M., 92g:20092 

Soma, Teruhiko Intersection of finitely generated surface groups. II. 92f:57006 

Spera, Antonino Giorgio (s, k,A)-partitions of a vector space. 92¢:51022 

Thurston, W. P. see Epstein, D. B. A., 92k:20062 

Timmesfeld, F.G. Groups generated by k-root subgroups. 92j:20026 

— A pushing up result and some consequences for the embedding of 2-constrained 
subgroups. 92c:20030 

Tschantz, Steven T. see Mihalik, Michael L., 92k:57002a and 92k:57002b 

Wilkens, David L. Invariants and examples of group actions on trees and length functions. 
92¢:20045 


Items listed otherwise than by author 


Bern * Sur les groupes hyperboliques d’aprés Mikhael Gromov. (French) [Hyperbolic 
groups in the theory of Mikhael Gromov] 92£:53050 


20F Special aspects of infinite or finite groups 


20F36 


Hyperbolic groups in the theory of Mikhael Gromov * Sur les groupes hyperboliques d’aprés 
Mikhael Gromov. (French) [Hyperbolic groups in the theory of Mikhael Gromov] 
92£:53050 

Progress in Mathematics * Sur les groupes hyperboliques d’aprés Mikhael Gromov. 
(French) [Hyperbolic groups in the theory of Mikhael Gromov] 92f:53050 

Seminar: 

Hyperbolic Groups * Sur les groupes hyperboliques d’aprés Mikhael Gromov. (French) 
[Hyperbolic groups in the theory of Mikhael Gromov] 92£:53050 

Sur les groupes hyperboliques d’apres Mikhael Gromov * Sur les groupes hyperboliques 
d’aprés Mikhael Gromov. (French) [Hyperbolic groups in the theory of Mikhael Gromov] 
92f:53050 


20F34 Fundamental groups and their automorphisms 
[see also 57M05, 57Sxx, 22E40] 


Items with secondary classifications in 20F34 

Bestvina, Mladen (with Handel, Michael) Train tracks and automorphisms of free groups. 
92m:20017 

Bonahon, Francis Geodesic currents on negatively curved groups. 92g:57002 

Burde, Gerhard SU(2)-representation spaces for two-bridge knot groups. 92c¢:57004 

Grigorchuk, R. I. (with Kurchanov, P. F.) Some problems in group theory that are 
connected with geometry. (Russian) 92e:20002 

Handel, Michael see Bestvina, Mladen, 92m:20017 

Kurchanov, P. F. see Grigorchuk, R. I., 92e:20002 

Morita, Shigeyuki On the structure of the Torelli group and the Casson invariant. 
92i:57016 

Niblo, G. A. Separability properties of free groups and surface groups. 92m:20019 


20F36 Braid groups; Artin groups 


Akimenkov, A. M. Solution of the reducibility problem for 4-string braids. 92h:20062 

Akutsu, Yasuhiro (with Deguchi, Tetsuo) New hierarchy of colored-braid-group representa- 
tions. 92d:20052 

Brazil, Marcus Monoid growth functions for braid groups. 92h:20063 

Cappuccio, R. (with Guadagnini, E.) On braid statistics. 92g:20058 

Cartier, Pierre Développements récents sur les groupes de tresses. Applications a la 
topologie et a l’algebre. [Recent developments on braid groups. Applications to topology 
and algebra] 92d:20053 

Cheng, Yi! (with Ge, Mo Lin; Xue, Kang) Yang-Baxterization of braid group representa- 
tions. 92f:20036 

Couture, Michel Josaphat (with Lee, Hoong Chien; Schmeing, N.C.) A new family of N- 
state representations of the braid group. (see 92m:81004) 

— (with Ge, Mo Lin; Lee, Hoong Chien; Schmeing, N. C.) New braid group representations 
of the D2 and D; types and their Baxterization. 92e:20025 

— (with Ge, Mo Lin; Lee, Hoong Chien) New braid group representations of the B2, B; and 
Bz, types, their associated link polynomials and quantum R matrices. 92e:20026 

— see also Lee, Hoong Chien; et al., (92f:81008) 

Deguchi, Tetsuo On the new hierarchy of the colored braid matrices. 

— see also Akutsu, Yasuhiro, 92d:20052 

Droms, Carl (with Lewin, Jacques; Servatius, Herman) Tree groups and the 4-string pure 
braid group. 92b:20040 

Ge, Mo Lin (with Xue, Kang) Exotic solutions of Yang-Baxter equation and the quantum 
group structure. 92c:20074 

— see also Li, You Quan, 92a:20037; Couture, Michel Josaphat; et al., 92e:20025; 92e:20026; 
Cheng, Yi’; et al., 92f:20036 and Lee, Hoong Chien; et al., (92f:81008) 

Guadagnini, E. see Cappuccio, R., 92g:20058 

Ihara, Yasutaka Automorphisms of pure sphere braid groups and Galois representations. 
92k:20077 

Kohno, Toshitake Monodromy of braid groups in conformal field theory and positive 
Markov traces. 92¢:20027 

Kriiger, Bertolt * Automorphe Mengen und die artinschen Zopfgruppen. (German) 
[Automorphic sets and Artin braid groups] 92f:20037 

Lee, Hoong Chien (with Ge, Mo Lin; Couture, Michel Josaphat; Wu, Yong Shi') Exotic 
statistics, braid group representations and multipoint functions in conformal field theory. 
(see 92£:81008) 

— see also Couture, Michel Josaphat; et al., 92e:20025; 92¢:20026 and (92m:81004) 

Lewin, Jacques see Droms, Carl; et al., 92b:20040 

Li, You Quan (with Ge, Mo Lin) Polynomials from nonstandard braid group representa- 
tions. 92a:20037 

Ma, Zhong Qi Quantum sl(2) enveloping algebra and representations of braid group. (see 
92h:81008) 

McDaniel, Andrew (with Smolinsky, Lawrence) The topology of some spaces from 
Hamiltonian mechanics. 92j:20036 

Moody, John Atwell The Burau representation of the braid group B,, is unfaithful for large 
n. 92b:20041 

Rodriguez-Romo, Suemi Braid group symmetries. 92h:20064 

Schmeing, N.C. see Couture, Michel Josaphat; et al., 92e:20025 and (92m:81004) 

Servatius, Herman see Droms, Carl; et al., 92b:20040 

Smolinsky, Lawrence see McDaniel, Andrew, 92j:20036 

Vinteler, Emil Extended braid group in higher-dimensional integrable theories. 92b:20042 

Wu, Yong Shi! see Lee, Hoong Chien; et al., (92f:81008) 

Xue, Kang see Ge, Mo Lin, 92c:20074 and Cheng, Yi'; et al., 92f:20036 


Items with secondary classifications in 20F36 

Akutsu, Yasuhiro see Deguchi, Tetsuo, 92h:82036 

Alvarez-Gaumé, Luis (with Sierra, German; Gomez, César) Topics in conformal field 
theory. 92j:81256 

Balachandran, A. P. (with Einarsson, Torbjorn; Govindarajan, T. R.; Ramachandran, R.) 
Statistics and spin on two-dimensional surfaces. 92j:81259 





20F36 


Birman, Joan S. (with Menasco, William W.) Studying links via closed braids. IV. 
Composite links and split links. 92g:57010a 

— (with Menasco, William W.) Studying links via closed braids. V. The unlink. 92g:57010b 

Bourdeau, Michelle Hilda The nonabelian Chern-Simons term with sources and braid 
source statistics. (see 92m:81004) 

Bracken, A. J. see Zhang, R. B.; et al., 92m:17031 

Brekke, Lee (with Falk, Adam F.; Hughes, Shane J.; Imbo, Tom D.) Anyons from bosons. 
92i:81151 

Carlip, Steven 2 + 1-dimensional quantum gravity and the braid group. (see 92m:81004) 

Chen, Yi Xin (with Ni, Guang Jiong) General theory of quantum statistics with internal 
degrees of freedom in two dimensions. 92b:81074 

Deguchi, Tetsuo (with Akutsu, Yasuhiro) A general formula for colored Z, graded braid 
matrices and the fusion braid matrices. 92h:82036 

Dehornoy, Patrick Preuve de la conjecture d’irréflexivité pour les structures distributives 
libres. (English summary) [Proof of the irreflexivity conjecture for free distributive 
structures] 92m:08011 

Einarsson, Torbjorn see Balachandran, A. P.; et al., 92j:81259 

Falk, Adam F. see Brekke, Lee; et al., 92i:81151 

Frohlich, Jirg Quantum statistics and locality. 92f:81083 

— (with Gabbiani, F.) Braid statistics in local quantum theory. 92h:81085 

— (with Marchetti, P. A.) Spin-statistics theorem and scattering in planar quantum field 
theories with braid statistics. 92g:81169 

Furlan, Paolo (with Stanev, Yassen S.; Todorov, Ivan T.) Coherent state operators and n- 
point invariants for U,(sl(2)). 92h:81070 

Gabbiani, F. see Frohlich, Jiirg, 92h:81085 

Ge, Mo Lin (with Zhao, Hong Kang; Xue, Kang) Braid group representation of the Zy 
model. 92b:82045 

— (with Xue, Kang) New solutions of braid group representations associated with Yang- 
Baxter equation. 92j:82018 

— (with Wang, Lu Yu; Kong, X. P.) Yang-Baxterization of braid group representation 
associated with the seven-dimensional representation of G2. 92c:81070 

— (with Liu, Guang Chun; Xue, Kang) New solutions of Yang-Baxter equations: Birman- 
Wenzl algebra and quantum group structures. 92g:82032 

— (with Wu, A.C. T.) Quantum groups constructed from the nonstandard braid group 
representations in the Faddeev-Reshetikhin-Takhtajan approach. 92i:17020 

— (with Xue, Kang) Rational Yang-Baxterization and factorized S-matrix. 92f:82016 

— see also Li, You Quan, 92h:57012; Jing, Nai Huan; et al., 92k:17023; Li, You Quan; et al., 
92m:17026 and Braid group, knot theory and statistical mechanics, 92i:57011 

Giordano, Thierry (with de la Harpe, Pierre) Groupes de tresses et moyennabilité 
intérieure. [Braid groups and inner amenability] 92m:46094 

Gémez, César see Alvarez-Gaumé, Luis; et al., 92j:81256 

Gould, M. D. see Zhang, R. B.; et al., 92m:17031 

Govindarajan, T. R. see Balachandran, A. P.; et al., 92j:81259 

Greenberg, Peter (with Sergiescu, Vlad) An acyclic extension of the braid group. 92b:57004 

Grinblat, V. A. On the occurrence problem in Artin groups. (Russian) 92d:20043 

Guadagnini, E. The link polynomials of the Chern-Simons theory. 92b:57012 

de ia Harpe, Pierre see Giordano, Thierry, 92m:46094 

Hessling, Hermann (with Tscheuschner, Ralf D.) Geometrical meaning of braid statistics 
in (1 + 1)- and (2 + 1)-dimensional quantum field theory. 92¢:81164 

Hou, Bo Yu see Wei, Hua, 92a:82040 

Hughes, Shane J. see Brekke, Lee; et al., 92i:81151 

Ihara, Yasutaka Braids, Galois groups and some arithmetic functions. 92m:12006 

Imbo, Tom D. (with March-Russell, John) Exotic statistics on surfaces. 92d:81123 

— see also Brekke, Lee; et al., 92i:81151 

Itoh, Takashi? (with Yamada, Yasuhiko) Explicit exchange relations in the SL(2) Wess- 
Zumino-Novikov-Witten model. 92m:81249 

Jing, Nai Huan (with Ge, Mo Lin; Wu, Yong Shi!) A new quantum group associated with a 
“nonstandard” braid group representation. 92k:17023 

Ko, Ki Hyoung (with Smolinsky, Lawrence) The framed braid group and 3-manifolds. 
92i:57015 

Kohno, Toshitake Integrable systems related to braid groups and Yang-Baxter equation. (see 
92i:57011) 

Kong, X. P. see Ge, Mo Lin; et al., 92c:81070 

Lai, Choy-Heng (with Ting, Christopher) Path integral representation of the Artin braid 
group. 92k:81079 

Lawrence, R. J. A universal link invariant. 92e:57013 

— Homological representations of the Hecke algebra. 92d:16020 

Li, You Quan (with Ge, Mo Lin) Link polynomials related to the new braid group 
representations. 92h:57012 

— (with Ge, Mo Lin; Xue, Kang; Wang, Lu Yu) Weight conservation condition and 
structure of the braid group representation. 92m:17026 

Liu, Guang Chun see Ge, Mo Lin; et al., 92g:82032 

Marchetti, P. A. see Frohlich, Jirg, 92g:81169 

March-Russell, John see Imbo, Tom D., 92d:81123 

Maitzat, B. Heinrich Braids and Galois groups. (Turkish summary) 92d:12010 

Melvin, Paul M. (with Tufillaro, N. B.) Templates and framed braids. 92m:57013 

Menasco, William W. see Birman, Joan S., 92g:57010a and 92g:57010b 

Moran, Siegfried Some free groups of matrices and the Burau representation of By. 
924:20031 

Nakamura, Hiroaki Centralizers of Galois representations in pro-/ pure sphere braid groups. 
92j:14026 

Ni, Guang Jiong see Chen, Yi Xin, 92b:81074 

Paterson, Michael S. (with Razborov, A.A.) The set of minimal braids is co-NP-complete. 
92h:68041 

Ramachandran, R. see Balachandran, A. P.; et al., 92j:81259 

Razborov, A. A. see Paterson, Michael S., 92h:68041 

Sergiescu, Vlad see Greenberg, Peter, 92b:57004 

Sierra, German see Alvarez-Gaumé, Luis; et al., 92j:81256 

Smolinsky, Lawrence see Ko, Ki Hyoung, 92i:57015 

Stanev, Yassen S. see Furlan, Paolo; et al., 92h:81070 


GROUP THEORY AND GENERALIZATIONS 


Ting, Christopher see Lai, Choy-Heng, 92k:81079 

Todorov, Ivan T. see Furlan, Paolo; et al., 92h:81070 

Tscheuschner, Ralf D. see Hessling, Hermann, 92c:81164 

Tufillaro, N. B. see Melvin, Paul M., 92m:57013 

Vershik, A. M. Local stationary algebras. 92b:16060 

Wang, Lu Yu see Ge, Mo Lin; et al., 92c:81070 and Li, You Quan; et al., 92m:17026 

Wei, Hua (with Hou, Bo Yu) Yang-Baxter equation, algebras and braid group for the Z,- 
symmetric statistical model. 92a:82040 

Wenzl, Hans Representations of braid groups and the quantum Yang-Baxter equation. 
92d:57009 

Wu, A.C. T. see Ge, Mo Lin, 92i:17020 

Wu, Yong Shi! Braid groups, anyons and gauge invariance. 92d:81133 

— see also Jing, Nai Huan; et al., 92k:17023 

Xue, Kang see Ge, Mo Lin; et al., 92b:82045; 92f:82016; 92g:82032; 92j:82018 and Li, You 
Quan; et al., 92m:17026 

Yamada, Yasuhiko see Itoh, Takashi”, 92m:81249 

(Yang, Chen Ning) see Braid group, knot theory and statistical mechanics, 92i:57011 

Zhang, R. B. (with Gould, M. D.; Bracken, A. J.) From representations of the braid group 
to solutions of the Yang-Baxter equation. 92m:17031 

Zhao, Hong Kang see Ge, Mo Lin; et al., 92b:82045 


Items listed otherwise than by author 


Braid group, knot theory and statistical mechanics * Braid group, knot theory and statistical 
mechanics. 92i:57011 


20F38 Other groups related to topology or analysis 


Le Ty Kuok Tkhang Varieties of representations and their subvarieties of homology jumps 
for certain knot groups. (Russian) 92k:20078 

McCool, James The coherence number of 2-groups. 92c:20075 

Moszner, Zenon Sur un sous-groupe a un paramétre du groupe L!.. (Polish summary) [Ona 
one-parameter subgroup of the group L!,] 92h:20065 


Items with secondary classifications in 20F38 
Broughton, S. Allen Classifying finite group actions on surfaces of low genus. 92b:57021 


Gromadzki, Grzegorz Supersoluble groups of automorphisms of nonorientable Riemann 
surfaces. 92e:20037 


20F40 Associated Lie structures 


Havas, George (with Newman, M. F.; Vaughan-Lee, Michael) A nilpotent quotient 
algorithm for graded Lie rings. 924:20054 

Newman, M. F. see Havas, George; et al., 92d:20054 

Vaughan-Lee, Michael see Havas, George; et al., 92d:20054 


Items with secondary classifications in 20F40 

Blessenohl, Dieter see Laue, Hartmut, 92c:20004 

Laue, Hartmut (with Blessenohl, Dieter) Symmetric groups and free Lie algebras. 
92c:20004 

Papistas, Athanassios A note on automorphism group of an n-generator nilpotent Lie 
algebra. 92c:20073 

Vaughan-Lee, Michael * The restricted Burnside problem. 92¢:20001 

Wali, G. E. Dependence of Lie relators for Burnside varieties. 92b:20043 

Zel'manov, E. 1. On the restricted Burnside problem. (Russian) 92a:20041 


20F45 Engel conditions 


Bovdi, A. A. (with Khripta, I. I.) The Engel property of the multiplicative group of a group 
algebra. (Russian) 92f:20038 

Endimioni, Gérard Groupes d’Engel avec la condition maximale sur les p-sous-groupes 
finis abéliens. [Engel groups with the maximal condition on finite abelian p-subgroups] 
92a:20038 

Khripta, I. 1. see Bovdi, A. A., 92f:20038 


Items with secondary classifications in 20F45 

Bovdi, A. A. (with Khripta, I. I.) The Engel property of the multiplicative group of a group 
algebra. (Russian) 92g:20002 

Khripta, I. 1. see Bovdi, A. A., 92g:20002 

Vaughan-Lee, Michael * The restricted Burnside problem. 92c:20001 


20F50 Periodic groups; locally finite groups 


Antonov, Vladimir Alekseevich Locally finite groups with maximal element centralizers. 
(Russian) 92h:20066 

Ivko, M. N. A characterization of groups with a layer-finite periodic part. (Russian. 
Ukrainian summary) 92k:20079 

Popov, A. M. (with Shunkov, V. P.) A supplement to the paper “Characterization of a 
class of Chernikov groups” [Algebra i Logika 26 (1987), no. 3, 358-375; MR 89k:20054]. 
(Russian) 92g:20059 

Senashov, V. I. Characterization of layer-finite groups. (Russian) 92a:20039 

Shafiro, A. A. Periodic groups with a primary minimality condition for some systems of 
subgroups. (Russian) 92¢:20028 

Shumyatskii, P. V. Locally finite groups with a Carter four-subgroup. (Russian) 92e:20029 

— Groups in which the involution centralizer satisfies min-z.(Russian) 92a:20040 

Shunkov, V. P. Groups with a finitely embedded involution. (Russian) 92k:20080 

— see also Popov, A. M., 92g:20059 

Wall, G. E. Dependence of Lie relators for Burnside varieties. 92b:20043 

Zel'manov, E.1. On the restricted Burnside problem. (Russian) 92a:20041 





349 1992 


Items with secondary classifications in 20F50 

Hartley, Brian (with Otal, Javier; Pefia, Juan Manuel) Locally graded minimal non CC- 
groups are p-groups. 92k:20072 

— (with Kuzucuoglu, M.) Centralizers of elements in locally finite simple groups. 
92d:20040 

Klyatskaya, L.M. A class of metabelian groups with complemented subgroups. (Russian. 
Ukrainian summary) 92m:20030 

Kuzucuoglu, M. see Hartley, Brian, 92d:20040 

Obraztsov, V. N. Some infinite groups. (Russian) 92i:20027 

Otal, Javier see Hartley, Brian; et al., 92k:20072 

Pejia, Juan Manuel see Hartley, Brian; et al., 92k:20072 

Sherman, Gary J. An elementary proof that periodicity and generalized-periodicity are 
equivalent in nilpotent groups. 

Shunkov, V. P. Arrangement of elements of prime order in groups. (Russian) 92b:20046 

Sushchanskii, V. I. Wreath products and general products of groups. (Russian) 92k:20052 

Tanaka, Katsumi? On locally finite stable groups. 92¢:03047 

Vaughan-Lee, Michael * The restricted Burnside problem. 92c:20001 


20F55 Coxeter groups [see also 22E40] 


Albar, Muhammad A. (with Al-Hamed, Maha A.) The affine Weyl group of type C;. 
92j:20037 

Al-Hamed, Maha A. see Albar, Muhammad A.., 92j:20037 

Charney, Ruth (with Davis, Michael Walter) Reciprocity of growth functions of Coxeter 
groups. 92h:20067 

Davis, Michael Walter (with Shapiro, Michael David) Coxeter groups are almost convex. 
924:20055 

— see also Charney, Ruth, 92h:20067 

Dyer, Matthew On the “Bruhat graph” of a Coxeter system. 92c:20076 

McMullen, Peter The order of a finite Coxeter group. 92f:20039 

Shapiro, Michael David see Davis, Michael Walter, 92d:20055 

Tsaranov, S. V. Finite generalized Coxeter groups. 92g:20060 


Items with secondary classifications in 20F55 

Abello, James The weak Bruhat order of S; consistent sets, and Catalan numbers. 
92c:90037 

Bellon, M. P. (with Maillard, Jean-Marie; Viallet, Claude-Michel) Integrable Coxeter 
groups. 92j:14019 

Chen, Cheng Dong Two-sided cells in affine Weyl groups. 92b:20047 

Faibusovich, L. E. Simplex method and groups generated by reflections. 92e:90030 

Fleischmann, Peter (with Janiszczak, Ingo) The lattices and Mébius functions of stable 
closed subrootsystems and hyperplane complements for classical Weyl groups. 92f:52025 

Futornyi, V. M. see Ustimenko, V. A., 92b:51009 

Graw, Bernd Decision problems and Coxeter groups. 92e:20021 

Haglund, Frédéric Les polyedres de Gromov. (English summary) [Gromov’s polyhedra] 
$2m:57005 

Humphreys, James E. * Reflection groups and Coxeter groups. 92h:20002 

Janiszezak, Ingo see Fleischmann, Peter, 92f:52025 

Maillard, Jean-Marie see Bellon, M. P.; et al., 92j:14019 

McMullen, Peter (with Schulte, Egon) Regular polytopes from twisted Coxeter groups and 
unitary reflexion groups. 92f:52022 

Reiner, Victor Quotients of Coxeter complexes and P-partitions. 92i:05223 

Schulte, Egon see McMullen, Peter, 92f:52022 

Takahashi, Kazuhisa The left cells and their W-graphs of Weyl group of type F;. 92a:20048 

Tsaranov, S. V. On a generalization of Coxeter groups. 92c¢:20062 

Ustimenko, V. A. (with Futornyi, V.M.) On Hecke algebras corresponding to Tits 
geometries. (Russian summary) 92b:51009 

Viallet, Claude-Michel see Bellon, M. P.; et al., 92j:14019 


20F60 Ordered groups [See mainly 06F15] 
Bergman, George M. Right orderable groups that are not locally indicable. 92e:20030 


Items with secondary classifications in 20F60 
Rhemtulla, Akbar Periodic extensions of ordered groups. 92i:06027 


20F99 None of the above, but in this section 


Chiswell, I. M. Pregroups and Lyndon length functions. 92d:20056 

Franciosi, Silvana (with de Giovanni, Francesco) On normal subgroups of factorized 
groups. 92b:20044 

Freiman, Gregory A. (with Schein, Boris M.) Interconnections between the structure theory 
of set addition and rewritability in groups. 92c:20077 

— (with Schein, Boris M.) Rewritable groups and semigroups and structure theory of set 
addition. (see 92m:00061) 

de Giovanni, Francesco see Franciosi, Silvana, 92b:20044 

Kegel, Otto H. (with Schmidt, Dieter) Existentially closed finitary linear groups. 92i:20044 

Lennox, John C. (with Mohammadi Hassanabadi, A.; Wiegold, James) Some commutativ- 
ity criteria. 92b:20045 

Leone, Antonella On some groups in which the join of two subgroups of infinite index has 
infinite index. (Italian) 

Maj, Mercede (with Stonehewer, S. E.) Nonnilpotent groups in which every product of four 
elements can be reordered. 92d:20057 

Mohammadi Hassanabadi, A. see Lennox, John C.; et al., 92b:20045 

Rodicio, Antonio G. On the relationship between the localization of groups and that of 
relative groups. 92k:20081 

Schein, Boris M. see Freiman, Gregory A., 92c:20077 and (92m:00061) 

Schmidt, Dieter see Kegel, Otto H., 92i:20044 

Shunkov, V. P. Arrangement of elements of prime order in groups. (Russian) 92b:20046 

Stonehewer, S. E. see Maj, Mercede, 924:20057 


20G Linear algebraic groups (classical groups) 


20G05 


Vitolo, Antonio (with Zannier, Umberto) On small sets in a group. (Italian. English 
summary) 92j:20038 

Wiegold, James see Lennox, John C.; et al., 92b:20045 

Zannier, Umberto see Vitolo, Antonio, 92j:20038 


Items with secondary classifications in 20F99 

Gottlieb, Alex D. (with Lipman, Joseph) Group-theoretic axioms for projective geometry. 
92g:51002 

Tonin, V. K. Abstract groups as physical structures. (Russian) 

Lipman, Joseph see Gottlieb, Alex D., 92g:51002 

Mikhailichenko, G.G. Group structures as arbitrary physical structures. (Russian) 


20Gxx Linear algebraic groups (classical groups) 
{For arithmetic theory, see 11E57, 11H06; for 
geometric theory, see 14Lxx, 22Exx; for other 
methods in representation theory, see 15A30, 
22E45, 22E46, 22E47, 22E50, 22E55.} 


Springer, T. A. Linear algebraic groups. (Russian) 92g:20061 


Items with secondary classifications in 20Gxx 
Borel, Armand * Linear algebraic groups. 92d:20001 


20G05 Representation theory 


(Barnabei, Marilena) see Boffi, Giandomenico, 92m:20032 

Boffi, Giandomenico On some plethysms. 92k:20082 

— A remark on a paper by M. Barnabei and A. Brini: “The Littlewood-Richardson rule for 
co-Schur modules” [Adv. Math. 67 (1988), no. 2, 143-173; MR 89h:20022]. 92m:20032 

Borovoi, M. V. The group of points of a semisimple group over a totally real closed field. 
92a:20042 

(Brini, Andrea) see Boffi, Giandomenico, 92m:20032 

Buchsbaum, David A. Aspects of characteristic-free representation theory of GL,, and some 
applications to intertwining numbers. 92c:20078 

Carter, R. W. Deligne-Lusztig theory and block theory. 92g:20062 

Chen, Cheng Dong Two-sided cells in affine Weyl groups. 92b:20047 

Digne, Francois (with Michel, Jean) * Representations of finite groups of Lie type. 
92g:20063 

Geck, Meinolf (with Lux, Klaus) The decomposition numbers of the Hecke algebra of type 
Fy. 92a:20043 

Gonzalez-Lorca, Jorge Descente de Shintani pour GL(2, F,). (English summary) [The 
Shintani descent for GL(2,F,)] 92k:20083 

Gyoja, Akihiko Vector valued invariants of prehomogeneous vector spaces. 92g:20064 

Inglis, N. F. J. (with Saxl, Jan) An explicit model for the complex representations of the 
finite general linear groups. 92j:20039 

Katsylo, P. I. Stable rationality of fields of invariants of linear representations of the groups 
PSL¢ and PSL)2. (Russian) 92g:20065 

Lahtonen, Jyrki On the submodules and composition factors of certain induced modules for 
groups of type C,. 92h:20068 

Lehrer, G.I. Group representations, geometry and topology. 924:20058 

Lin, Zong Zhu Socle series of cohomology groups of line bundles on G/B. 92m:20033 

— Extensions between simple modules for Frob kernels. 92g:20066 

— Representations of Chevalley groups arising from admissible lattices. 92f:20040 

— Loewy series of certain indecomposable modules for Frobenius subgroups. 92j:20040 

Littelmann, Peter Good filtrations, decomposition rules and standard monomial theory. 
92g:20067 

Lusztig, George Intersection cohomology methods in representation theory. 92m:20034 

Lux, Klaus see Geck, Meinolf, 92a:20043 

Maliakas, Mihalis Representation-theoretic realizations of two classical character formulas 
of D. E. Littlewood. 92b:20048 

— Schur functors for the symplectic group. 92b:20049 

Martin, Stuart Ext! spaces for general linear and symmetric groups. 92m:20035 

Mason, Geoffrey Varieties attached to an SL2(2*)-module. 92m:20036 

Mathieu, Olivier Filtrations of G-modules. 92a:20044 

Michel, Jean see Digne, Francois, 92g:20063 

Mortajine, A. * Classification des espaces préhomogénes de type parabolique réguliers et 
de leurs invariants relatifs. (French) [Classification of regular parabolic prehomogeneous 
spaces and their relative invariants] 92e:20031 

Pham Hii’u Tiép Weyl representations of finite symplectic groups and Gow lattices. 
(Russian) 92f:20041 

Saunders, Clive The reflection representations of some Chevalley groups. 92f:20042 

Saxl, Jan see Inglis, N. F. J., 92j:20039 

Suprunenko, I. D. see Zalesskii, A. E., 92c:20079 

Vella, David C. Another characterization of parabolic subgroups. 92a:20045 

Wehrfritz, B. A. F. Some soluble groups of finite rank and some related matrix groups. 
(Russian and Ukrainian summaries) 92m:20037 

Zalesskii, A. E. (with Suprunenko, I. D.) Truncated symmetric powers of natural 
realizations of the groups SL,,(P) and Sp,,(P) and their constraints on subgroups. 
(Russian) 92¢:20079 

— The eigenvalue | of matrices of complex representations of finite Chevalley groups. 
(Russian) 92i:20045 

— Spectra of p-elements in representations of the group SL,(p*). (Russian) 92a:20046 

Zhu, Chen-Bo A generic H-invariant in a multiplicity-free G-action. 92i:20046 





Items with secondary classifications in 20G05 

Andersen, Henning Haahr (with Polo, Patrick; Wen, Ke Xin) Representations of quantum 
algebras. 92e:17011 

Bott, Raoul H. Stable bundles revisited. 92m:14016b 





20G05 


— On E. Verlinde’s formula in the context of stable bundles. 92m:14016a 

Bressler, Paul (with Finkelberg, M.; Lunts, V.) Vanishing cycles on Grassmannians. 
92f:14051 

Broer, Bram Hilbert series for ternary forms. 92m:11041 

Brylinski, Ranee Kathryn Twiste ideals of the nullcone. 92e:17007 

Capparelli, Stefano The Jordan canonical form in some 6-groups. 92m:20040 

Collingwood, David H. Orbits and characters associated to highest weight representations. 
92g:22036 

Date, Etsuré (with Jimbo, Michio; Miki, Kei; Miwa, Tetsuji) Cyclic representations of 
U,(si(n + 1,C)) atq™ = 1. 92i:17018 

Deckhart, Robert W. The local Kostant-PBW ordering. 92g:05182 

Dipper, Richard (with Donkin, Stephen) Quantum GL,. 92g:16055 

Donkin, Stephen see Dipper, Richard, 92g:16055 

Du, Jie Sign types and Kazhdan-Lusztig cells. 92c:20089 

Enguehard, Michel Isométries parfaites entre blocs de groupes linéaires ou unitaires. 
[Perfect isometries between blocks of linear or unitary groups] 92c:20017 

Finkelberg, M. see Bressler, Paul; et al., 92f:14051 

Friedlander, Eric Mark (with Parshall, Brian J.) Induction, deformation, and specialization 
of Lie algebra representations. 92h:17021 

Geck, Meinolf On the decomposition numbers of the finite unitary groups in nondefining 
characteristic. 92f:20013 

Gyoja, Akihiko Invariants, nilpotent orbits, and prehomogeneous vector spaces. 92k:17010 

Haastert, Burkhard (with Jantzen, Jens Carsten) Filtrations of symmetric powers via 
crystalline cohomology. 92a:14017 

Hein, Wolfgang * Einfiihrung in die Struktur- und Darstellungstheorie der klassischen 
Gruppen. (German) [Introduction to the structure and representation theory of the 
classical groups] 92g:22001 

Humphreys, James E. Cohomology of line bundles on flag varieties in prime characteristic. 
92k:20084 

Itzkowitz, Gerald L. (with Rothman, Sheldon; Strassberg, Helen) A note on the real 
representations of SU(2,C). 92h:22031 

Jantzen, Jens Carsten see Haastert, Burkhard, 92a:14017 

Jimbo, Michio see Date, Etsurd; et al., 92i:17018 

Kazhdan, David (with Lusztig, George) Affine Lie algebras and quantum groups. 92g:17015 

Khinich, V. A. On the singularities of nilpotent orbits. 92m:14005 

Kimel'fel'd, B. N. On inequalities of Schur type for Hermitian matrices and characters of 
unitary groups. 92b:15035 

Klink, W. H. (with Ton-That, Tuong) Invariant theory of the block diagonal subgroups of 
GL(n, C) and generalized Casimir operators. 92m:17032 

Kotzev, Boris V. Determinantal ideals of linear type of a generic symmetric matrix. 
92g:13015 

Kumar, Shrawan Proof of Wahl’s conjecture on surjectivity of the Gaussian map for flag 
varieties. 92m:14066b 

Lakshmibai, Yenkatramani Siandard monomial theory for SL,. 92:14052 

— (with Seshadri, C. S.) Standard monomial theory. 92k:14053 

Lee, Dong Hoon (with Wu, Ta Sun) Rationality of representations of linear Lie groups. 
92£:22010 

Lants, V. see Bressler, Paul; et al., 92f:14051 

Lusztig, George Symmetric spaces over a finite field. 92e:20034 

— see also Kazhdan, David, 92g:17015 

Maeda, Takashi On the invariant ficic of binary octavics. 92g:14047 

Maliakas, Mihalis Resolutions, homological dimensions, and extensions of hook represen- 
tations. 92j:20044 

Miki, Kei see Date, Etsuré; et al., 92i:17018 

Miwa, Tetsuji see Date, Etsurd; et al., 92i:17018 

Montgomery, S. (with Smith, S. Paul) Skew derivations and U,(sl(2)). 92¢:16027 

Parshall, Brian J. Hyperalgebras, highest weight categories and finite-dimensional algebras. 
92d:20062 

— see also Friedlander, Eric Mark, 92h:17021 

Polo, Patrick see Andersen, Henning Haahr; et al., 92e:17011 

Puig, Lluis Algébres de source de certains blocs des groupes de Chevalley. (English 
summary) [Source algebras of some blocks of Chevalley groups] 92e:20007 

Rajeswari, K. N. Standard monomial theoretic proof of PRV conjecture. 92k:22027 

Rothman, Sheldon see Itzkowitz, Gerald L.; et al., 92h:22031 

Schwermer, Joachim Cohomology of arithmetic groups, automorphic forms and L- 
functions. 92e:11059 

Seshadri, C.S. see Lakshmibai, Venkatramani, 92k:14053 

Shibukawa, Youichi see Ueno, Kimio; et al., 92e:17023 

Smith, S. Paul see Montgomery, S., 92e:16027 

Spaltenstein, N. On the Kazhdan-Lusztig map for exceptional Lie algebras. 92b:17010 

Srinivasan, Bhama Representations of finite groups of Lie type. 92j:20008 

Strassberg, Helen see Itzkowitz, Gerald L.; et al., 92h:22031 

Takebayashi, Tadayoshi see Ueno, Kimio; et al., 92e:17023 

Tambour, Torbjérn Noncommutative classical invariant theory. 92h:16022 

Ton-That, Tuong see Klink, W. H., 92m:17032 

Ueno, Kimio (with Takebayashi, Tadayoshi; Shibukawa, Youichi) Construction of 
Gel‘fand-Tsetlin basis for U,(gl(N + 1))-modules. 92e:17023 

Vershik, A.M. Local stationary algebras. 92b:16060 

Wahl, Jonathan Gaussian maps and tensor products of irreducible representations. 
92m:14066a 

Wen, Ke Xin see Andersen, Henning Haahr; et al., 92e:17011 

Wu, Ta Sun see Lee, Dong Hoon, 92f:22010 

Xi, Nan Hua Finite-dimensional modules of some quantum groups over F,(v). 92b:17022 


20G10 Cohomology theory 


Humphreys, James E. Cohomology of line bundles on flag varieties in prime characteristic. 
92k:20084 


GROUP THEORY AND GENERALIZATIONS 


Items with secondary classifications in 20G10 


Jantzen, Jens Carsten First cohomology groups for classical Lie algebras. 92e:17024 

Lin, Zong Zhu Socle series of cohomology groups of line bundles on G/B. 92m:20033 

— Loewy series of certain indecomposable modules for Frobenius subgroups. 92j:20040 

Nguyen Quoc Thang A note on the Hasse principle. 92b:11022 

— Addenda: “A note on the Hasse principle” [Acta Arith. 54 (1990), no. 3, 171-184; MR 
92b:11022]. 92i:11044 

Zimmer, Robert J. On the algebraic hull of an automorphism group of a principal bundle. 
92£:57050 


20G15 Linear algebraic groups over arbitrary fields 


Ambrosiewicz, Elzbieta Powers of sets of involution in linear groups. 92m:20038 

Bashkirov, E. L. Linear groups that contain the group Sp,,(k) over a field of characteristic 2. 
(Russian. English summary) 92j:20041 

Borevich, Z.1. (with Mysovskikh, V.I.) Infinite chains of successive normalizers in the 
general linear group over a field. (Russian) 92c:20080 

— (with Koibaev, V. A.; Tran Ngoc Hoi) Lattices of subgroups in GL(2,Q) that contain a 
nonsplittable torus. (Russian) 92g:20068 

Borovik, A. V. Jordan subgroups and orthogonal decompositions. (Russian) 92g:20069 

Chen, Zhong Hu A note on the construction of simple groups over number fields. 92f:20043 

Deriziotis, D. I. (with Fakiolas, A. P.) The maximal tori in the finite Chevalley groups of 
type E,, E; and Eg. 92c:20081 

Donkin, Stephen Representations of symplectic groups and the symplectic tableaux of R. C. 
King. 92g:20070 

Ellers, Erich W. (with Malzan, Jerry) Products of positive transvections in the real 
symplectic group. 92d:20059 

Fakiolas, A. P. see Deriziotis, D. I., 92c:20081 

Ferrer Santos, Walter Closed conjugacy classes, closed orbits and structure of algebraic 
groups. 92m:20039 

Golubovski, V. Subgroups of an isotropic orthogonal group that contain the centralizer of a 
maximal splittable torus. (Russian) 92b:20050 

Green, J. A. Schur algebras and general linear groups. 92h:20069 

Griess, Robert L., Jr. Elementary abelian p-subgroups of algebraic groups. 92i:20047 

Helminck, A. G. On groups with a Cartan involution. 92j:20042 

— Tori invariant under an involutorial automorphism. I. 92a:20047 

liyori, Nobuo (with Yamaki, Hiroyoshi) Prime graph components of the simple groups of 
Lie type over the field of even characteristic. 92c:20082 

Im, Bok-Hee On automorphisms of certain unipotent subgroups of Chevalley groups of type 
Dj. 924:20060 

King, Oliver On the subgroup structure of the symplectic group in characteristic two. 
92¢:20083 

Koibaev, V. A. see Borevich, Z. L.; et al., 92g:20068 

Kurtzke, John F. Centers of centralizers in reductive algebraic groups. 92j:20043 

Levchuk, V.M. Automorphisms of unipotent subgroups of groups of Lie type of small 
ranks. (Russian) 92k:20085 

— Automorphisms of unipotent subgroups of Chevalley groups. (Russian) 92k:20086 

Li, Zhuo Generators, relations and coverings of ?B2(K). (Chinese summary) 92g:20071 

Liu, Shao Wu Automorphisms of nonregular projective symplectic groups over fields. 
(Chinese. English summary) 92k:20087 

Maliakas, Mihalis Resolutions, homological dimensions, and extensions of hook represen- 
tations. 92j:20044 

Maizan, Jerry see Ellers, Erich W., 92d:20059 

Monastyrnyi, A. P. (with Yanchevskii, V. 1.) Whitehead groups of algebraic groups of 
classical type, and R-equivalence. (Russian) 92g:20072 

— Spinor quotient groups and R-equivalence. (Russian. English summary) 92d:20061 

Miller, Peter Transitive linear groups with large soluble normal subgroups. 92c:20084 

Mysovskikh, V.I. see Borevich, Z. I., 92c:20080 

Parshall, Brian J. Hyperalgebras, highest weight categories and finite-dimensional algebras. 
92d:20062 

Ponomarev, K. N. Minimal solvable algebraic groups and their abstract isomorphisms. 
(Russian) 92f:20044 

Rashid, Laila E.M. Homomorphisms of unitary groups. 92b:20051 

Richardson, R. W. (with Springer, T. A.) The Bruhat order on symmetric varieties. 
92e:20032 

Sawada, Hideki * Foundations of linear algebraic groups. Part I. 92c:20085 

— * Foundations of linear algebraic groups. Part II. 92j:20045 

Springer, T. A. see Richardson, R. W., 92e:20032 

Suprunenko, D. A. Conjugacy in the special linear group. (Russian) 92f:20045 

Takahashi, Kazuhisa The left cells and their W-graphs of Weyl group of type F,. 92a:20048 

Tran Ngoc Hoi see Borevich, Z. 1.; et al., 92g:20068 

Vavilov, N. A. Subgroups of Chevalley groups that contain a maximal torus. (Russian) 
92:20046 

— On subgroups of the spinor group that contain a splittable maximal torus. I. (Russian) 
92h:20070 

Yamaki, Hiroyoshi see liyori, Nobuo, 92c:20082 

Yanchevskii, V. I. see Monastyrnyi, A. P., 92g:20072 


Items with secondary classifications in 20G15 

Ambrosiewicz, Jan Powers of sets in linear groups. 92a:20051 

Bashkirov, E. L. Some subgroups of the special linear group over a field. (Russian. English 
summary) 92k:20095 

Bédard, Robert * Groupes linéaires algébriques. (French) [Linear algebraic groups] 
92j:20001 

Borel, Armand The work of Chevalley in Lie groups and algebraic groups. 92j:01042 

Cao, You An Automorphisms of certain Borel subgroups. (Chinese summary) 92c:17026 

(Chevalley, Claude) see Borel, Armand, 92j:01042 

Cohen, Arjeh M. (with Liebeck, Martin W.; Saxl, Jan; Seitz, Gary M.) The local maximal 
subgroups of exceptional groups of Lie type, finite and algebraic. 92m:20012 





351 1992 


Guivare’h, Yves Produits de matrices aléatoires et applications aux propriétés géométriques 
des sous-groupes du groupe linéaire. (English summary) [Products of random matrices 
and applications to the geometric properties of subgroups of the linear group] 92c:60011 

Hein, Wolfgang * Einfihrung in die Struktur- und Darstellungstheorie der klassischen 
Gruppen. (German) [Introduction to the structure and representation theory of the 
classical groups] 92g:22001 

Humphreys, James E. * Reflection groups and Coxeter groups. 92h:20002 

van Leeuwen, Marc A. A. The Robinson-Schensted and Schiitzenberger algorithms and 
interpretations. 92g:05183 

Li, Shang Zhi Overgroups in GL(U @ W) of certain subgroups of GL(U) @ GL(W). I. 
92d:20039 

Liebeck, Martin W. see Cohen, Arjeh M.; et al., 92m:20012 

Saxl, Jan see Cohen, Arjeh M.; et al., 92m:20012 

Seitz, Gary M. see Cohen, Arjeh M.; et al., 92m:20012 

Timmesfeld, F.G. Groups generated by k-root subgroups. 92j:20026 

Vavilov, N. A. Subgroups of splittable classical groups. (Russian) 92d:20065 

Vella, David C. Another characterization of parabolic subgroups. 92a:20045 

Zalesskii, A. E. The eigenvalue | of matrices of complex representations of finite Chevalley 
groups. (Russian) 92i:20045 


20G20 Linear algebraic groups over the reals, the complexes, the 
quaternions 


Capparelli, Stefano The Jordan canonical form in some 6-groups. 92m:20040 

Dokovi¢é, Dragomir Z. (with Li, Chi-Kwong; Rodman, Leiba) Isometries of symmetric 
gauge functions. 92d:20063 

Grecu, E. Automorphismes involutifs du groupe symplectique. (Romanian summary) 
[Involutive automorphisms of the symplectic group] 92a:20049 

Green, J. A. Classical invariants and the general linear group. 92g:20073 

Lee, Min Ho Rational involutions of classical algebraic groups. 92b:20052 

Li, Chi-Kwong see-Dokovi¢, Dragomir Z.; et al., 92d:20063 

Pierce, Stephen Linear maps on algebraic groups. 92k:20088 

Rodman, Leiba see-Dokovi¢é, Dragomir Z.; et al., 92d:20063 


Items with secondary classifications in 20G20 


Bannai, Eiichi (with Song, Sung-Yell; Shen, Hao; Wei, Hong Zeng) Character tables 
of certain association schemes coming from finite unitary and symplectic groups. 
92m:05204 

Carrell, James B. Vector fields, flag varieties and Schubert calculus. 92k:14051 

Flaschka, Hermann (with Haine, Luc) Torus orbits in G/P. 92¢:14047 

Haine, Luc see Flaschka, Hermann, 92e:14047 

Ichikawa, Takashi Algebraic groups associated with abelian varieties. 92f:14043 

Tommi Amunategui, Godofredo Une propriété arithmétique des représentations du groupe 
unitaire et du groupe symplectique. [An arithmetical property of the representations of 
the unitary group and the symplectic group] 92j:20005 

Kimura, Hideyuki see Kuribayashi, Akikazu, 92e:30024 

Klink, W. H. (with Ton-That, Tuong) Invariant theory of the block diagonal subgroups of 
GL(n, C) and generalized Casimir operators. 92m:17032 

Koitabashi, Masanori On the structure of some quotient spaces. 92f:14047 

Kuribayashi, Akikazu (with Kimura, Hideyuki) Automorphism groups, isomorphic to 
GL(3, F2), of compact Riemann surfaces. 92e:30024 

Masuda, Mikiya (with Petrie, Ted) Equivariant algebraic vector bundles over rep 
tions of reductive groups: theory. 92j:14059a 

— (with Moser-Jauslin, Lucy; Petrie, Ted) Equivariant algebraic vector bundles over 
representations of reductive groups: applications. 92j:14059b 

Moser-Jauslin, Lucy see Masuda, Mikiya; et al., 92j:14059b 

Onishchik, A. L. see Vinberg, E. B., 92i:22014 

Petrie, Ted see Masuda, Mikiya, 92j:14059a and 92j:14059b 

Procesi, Claudio (with Schwarz, Gerald W.) Defining orbit spaces by inequalities. 
92e:22031 

Richardson, R. W. (with Springer, T. A.) The Bruhat order on symmetric varieties. 
92e:20032 

Schwarz, Gerald W. see Procesi, Claudio, 92e:22031 

Shen, Hao see Bannai, Eiichi; et al., 92m:05204 

Song, Sung-Yell see Bannai, Eiichi; et al., 92m:05204 

Springer, T. A. see Richardson, R. W., 92e:20032 

Sury, B. Arithmetic groups and Salem numbers. 92m:11042 

Teranishi, Yasuo Young diagrammatic methods in noncommutative invariant theory. 
92b:05084 

Ton-That, Tuong see Klink, W. H., 92m:17032 

Torasso, Pierre The Poisson-Plancherel formula for a quasi-algebraic group with abelian 
radical and reductive generic stabilizer. 92g:22029 

Tralle, A. E. A new existence theorem for the generalized Riemannian symmetric spaces of 
solvable type. 92b:53083 

Vinberg, E. B. (with Onishchik, A. L.) * Cemunap no rpynnam Jiu u anre6panueckum 
rpynnam. (Russian) [A seminar on Lie groups and algebraic groups] 92i:22014 

— see also Lie groups, their discrete subgroups, and invariant theory, 92k:14001 

Wei, Hong Zeng see Bannai, Eiichi; et al., 92m:05204 


Items listed otherwise than by author 


Lie groups, their discrete subgroups, and invariant theory * Lie groups, their discrete 
subgroups, and invariant theory. 92k:14001 





20G25 Linear algebraic groups over local fields and their integers 


Items with secondary classifications in 20G25 


James, Donald G. Orbits in unimodular Hermitian lattices. 92j:11037 
Lubotzky, Alexander Lattices in rank one Lie groups over local fields. 92k:22019 


20G Linear algebraic groups (classical groups) 


20G40 


Stuck, Garrett Cocycles of ergodic group actions and vanishing of first cohomology for S- 
arithmetic groups. 92:22009 


20G30 Linear algebraic groups over global fields and their 
integers 


Raghunathan, M.S. The congruence subgroup problem. 92i:20048 

Rapinchuk, A. S. The congruence subgroup problem for arithmetic groups of bounded 
generation. (Russian) 92b:20053 

Smillie, John (with Vogtmann, Karen) Automorphisms of SL; of imaginary quadratic 
integers. 92b:20054 

Vogtmann, Karen see Smillie, John, 92b:20054 


Items with secondary classifications in 20G30 

Borovoi, M. V. On weak approximation in homogeneous spaces of simply connected 
algebraic groups. 92g:11037 

Fine, Benjamin The Euclidean Bianchi groups. 92e:11033 

James, Donald G. Orbits in unimodular Hermitian lattices. 92j:11037 

Lubotzky, Alexander (with Mann, Avinoam) On groups of polynomial subgroup growth. 
92d:20038 

Mann, Avinoam see Lubotzky, Alexander, 92d:20038 

Mason, A. W. (with Pride, Stephen J.) Normal subgroups of prescribed order and zero level 
of the modular group and related groups. 92c:20088 

Pride, Stephen J. see Mason, A. W., 92c:20088 

Rapinchuk, A. S. Representations of groups of finite width. (Russian) 92h:22022 

Reeder, Mark Modular symbols and the Steinberg representation. 92a:11064 


20G35 Linear algebraic groups over adéles and other rings and 
schemes 


Costa, Douglas L. (with Keller, Gordon E.) The E(2, A) sections of SL(2, A). 92:20047 

Dias, I. On the orthogonal group over an LG-ring. 92¢:20086 

Dicks, Warren (with Hartley, Brian) On homomorphisms between special linear groups 
over division rings. 92f:20048 

Hartley, Brian see Dicks, Warren, 92f:20048 

Hinson, Edward K. Word length in elementary matrices. 92i:20049 

Keller, Gordon E. see Costa, Douglas L., 92f:20047 

Kniippel, F. GL*(R) is 5-reflectional. 92i:20050 

Levchuk, V. M. Central series and series of commutators of certain subgroups of Chevalley 
groups. (Russian) 92g:20074 

Li, Shang Zhi A new type of classical groups over skew-fields of characteristic 2. 92e:20033 

Mason, A. W. The order and level of a subgroup of GL over a Dedekind ring of arithmetic 
type. 92k:20089 

Vaserstein, Leonid N. The subnormal structure of general linear groups over rings. 
92d:20064 

Vavilov, N. A. Subgroups of splittable classical groups. (Russian) 92d:20065 

— Structure of Chevalley groups over commutative rings. 92k:20090 

Yuan, Bing Cheng (with Zhang, Tong Jun) A decomposition theorem for the linear group 
GL, (K) over a division ring K. (Chinese. English summary) 92a:20050 

Zhang, Tong Jun see Yuan, Bing Cheng; et al., 92a:20050 

Zhang, Yong Zheng Automorphisms of orthogonal groups over a class of ®-surjective rings. 
(Chinese. English summary) 92d:20066 


Items with secondary classifications in 20G35 

Boffi, Giandomenico On some plethysms. 92k:20082 

Buchsbaum, David A. Aspects of characteristic-free representation theory of GL,,, and some 
applications to intertwining numbers. 92c:20078 

Rahman, M.T. Determinant over graded ring. 92a:13020 


20G40 Linear algebraic groups over finite fields 


Ambrosiewicz, Jan Powers of sets in linear groups. 92a:20051 

Bauer, Michel (with Itzykson, Claude) A case study in finite groups: PSL2(F7) [MR 
91h:20070]. (see 92m:81271) 

Cao, You An Finite solvable complete groups obtained from Chevalley groups. (Chinese) 
$2h:20071 

Chen, Zhong Mu (with Wang, Yan Ming) Minimal nonsolvable groups with actions. 
(Chinese) 

Costantini, Mauro On lattice automorphisms of the special linear group. (Italian summary) 
92k:20091 

Dalla Volta, F. (with Tamburini Bellani, Maria Chiara) Generation of some orthogonal 
groups by a set of three involutions. 92b:20055 

Dye, R. H. Spreads and classes of maximal subgroups of GL,(q), SL,(q), PGL,»(q) and 
PSL, (q). 92k:20092 

Ellers, Erich W. (with Malzan, Jerry) Products of A-transvections in Sp(2n,q). 92d:20067 

Gordeev, N. L. Algebras of invariants of finite groups. (Russian) 92i:20051 

Itzykson, Claude see Bauer, Michel, (92m:81271) 

Kleidman, Peter B. (with Wilson, Robert A.) J3 < E¢(4) and Mj2 < E¢(5). 92b:20056 

Kondrat'ev, Anatolii Semenovich Finite linear groups of degree 6. (Russian) 92c:20087 

Lusztig, George Symmetric spaces over a finite field. 92e:20034 

Malle, Gunter The maximal subgroups of *F,(q?). 92d:20068 

Maizan, Jerry see Ellers, Erich W., 92d:20067 

Meierfrankenfeld, Ulrich (with Stroth,G.) On quadratic GF(2)-modules for Chevalley 
groups over fields of odd order. 92d:20069 

Mushtaq, Q. Parametrization of all homomorphisms from PGL(2, Z) into PGL(2, q). 
92m:20041 

Nakada, Yasumasa (with Shinoda, Ken-ichi) The characters of a maximal parabolic 
subgroup of GL,(F,). 92d:20070 

Nuzhin, Ya. N. Generating triples of involutions of Chevalley groups over a finite field of 
characteristic 2.(Russian) 92j:20046 





20G40 


Rényai, Lajos Computing the order of centralizers in linear groups. 92h:20072 

Shinoda, Ken-ichi see Nakada, Yasumasa, 92d:20070 

Solomon, Louis The Bruhat decomposition, Tits system and Iwahori ring for the monoid of 
matrices over a finite field. 92e:20035 

Stroth, G. see Meierfrankenfeld, Ulrich, 92d:20069 

Suprunenko, I. D. see Zalesskii, A. E., 92a:20053 

Tamburini Bellani, Maria Chiara see Dalla Volta, F., 92b:20055 

Turull, Alexandre (with Zame, Alan) Number of prime divisors and subgroup chains. 
92a:20052 

Wang, Yan Ming see Chen, Zhong Mu; et al. 

Wilson, Robert A. see Kleidman, Peter B., 92b:20056 

Zalesskii, A. E. (with Suprunenko, I. D.) Permutation representations and a fragment 
of the decomposition matrix of symplectic and special linear groups over a finite field. 
(Russian) 92a:20053 

Zame, Alan see Turull, Alexandre, 92a:20052 

Zhao, Si Yuan The subgroup lattice of GL(2, F;). (Chinese. English summary) 


Items with secondary classifications in 20G40 

Alperin, J. LL. A Lie approach to finite groups. 92a:20011 

Ambrosiewicz, Elzbieta Powers of sets of involution in linear groups. 92m:20038 

Bannai, Eiichi (with Song, Sung-Yell) The character table of the commutative association 
scheme coming from the action of GL(n, g) on nonincident point-hyperplane pairs. 
92a:05132 

Carlisle, David P. (with Kropholler, P. H.) Rational invariants of certain orthogonal and 
unitary groups. 92m:12011 

Conder, Marston (with Robertson, Edmund; Williams, Peter D.) Presentations for 3- 
dimensional special linear groups over integer rings. 92h:20050 

Digne, Francois (wit Michel, Jean) * Representations of finite groups of Lie type. 
92g:20063 

Dipper, Richard Polynomial representations of finite general linear groups in nondescribing 
characteristic. 92h:20018 

Du, Jie The Green correspondence for the representations of Hecke algebras of type A,_). 
92g:20021 

— The modular representation theory of g-Schur algebras. 92g:20022 

Fisher, Tony J. A bound for the dimension of Ho(.%y) of modules V (A; + A;) for A;(q). 
92h:20029 

Gluck, David Character value estimates for groups of Lie type. 92k:20014 

Giizel, Erhan Les représentations irréductibles complexes des groupes SL(3, q), PSL(3, q). 
(Turkish summary) [Complex irreducible representations of the groups SL(3, q), 
PSL(3,q)] 92b:20013 

Gyoja, Akihiko Vector valued invariants of prehomogeneous vector spaces. 92g:20064 

Hall, J. I. A characterization of finite symplectic groups over fields with more than two 
elements. 92b:20019 

Johnson, Norman Lloyd! (with Pomareda, R.; Wilke, Fred W.) j-planes. 92¢:51012 

Kouwenhoven, Frank M. The A-structure of the Green ring of GL(2, F,) in characteristic p. 
I, Il, II, IV. 92i:20014 

Kropholler, P. H. see Carlisle, David P., 92m:12011 

Liebeck, Martin W. (with Saxl, Jan) Minimal degrees of primitive permutation groups, 
with an application to monodromy groups of covers of Riemann surfaces. 92f:20003 

Michel, Jean see Digne, Francois, 92g:20063 

Pomareda, R. see Johnson, Norman Lloyd’; et al., 92c:51012 

Robertson, Edmund see Conder, Marston; et al., 92h:20050 

Saunders, Clive The reflection representations of some Chevalley groups. 92f:20042 

Saxl, Jan see Liebeck, Martin W., 92f:20003 

Song, Sung-Yell see Bannai, Eiichi, 92a:05132 

Srinivasan, Bhama Representations of finite groups of Lie type. 92j:20008 

Tsushima, Yukio On certain projective modules for finite groups of Lie type. 92¢:20025 

Wilke, Fred W. see Johnson, Norman Lloyd!; et al., 92c:51012 

Williams, Peter D. see Conder, Marston; et al., 92h:20050 

Zalesskii, A. E. The eigenvalue | of matrices of complex representations of finite Chevalley 
groups. (Russian) 92i:20045 


20G45 Applications to physics; explicit representations 
Olshanetskii, M. A. Quantum-mechanical calculations in the algebraic group theory. 
92¢e:20036 


— Quantum-mechanical calculation of the orders of finite simple groups of Lie type. 
(Russian. English summary) 92g:20075 


Items with secondary classifications in 20G45 

Bauer, Michel (with Itzykson, Claude) A case study in finite groups: PSL2(F7) [MR 
91h:20070]. (see 92m:81271) 

Broer, Bram Hilbert series for ternary forms. 92m:11041 

Itzykson, Claude see Bauer, Michel, (92m:81271) 

Wehlau, David L. A proof of the Popov conjecture for tori. 92f:14049 


20G99 None of the above, but in this section 


Items with secondary classifications in 20G99 

Andruskiewitsch, Nicolas (with Tirao, Juan A.) A restriction theorem for modules having a 
spherical submodule. 92h:14034 

Renner, Lex E. Finite monoids of Lie type. 92h:20093 

Tirao, Juan A. see Andruskiewitsch, Nicold4s, 92h:14034 

Tolstykh, V. A. Some interpretations in the general linear group. (Russian) (see 92g:03005) 


20Hxx Other groups of matrices [see also 15A30] 


GROUP THEORY AND GENERALIZATIONS 


Items with secondary classifications in 20Hxx 
Margulis, G. A. * Discrete subgroups of semisimple Lie groups. 92h:22021 


20H05 Unimodular groups, congruence subgroups 
[see also 11F06, 19B37, 22E40, 51F20] 


Downs, Martin The Mébius function of PSL2(q), with application to the maximal normal 
subgroups of the modular group. 92d:20071 

Mason, A. W. (with Pride, Stephen J.) Normal subgroups of prescribed order and zero level 
of the modular group and related groups. 92c:20088 

Pride, Stephen J. see Mason, A. W., 92c:20088 

You, Hong see Zhang, Hai Quan; et al., 92h:20073 

Zhang, Hai Quan (with You, Hong) Commutators in symplectic unimodular groups. 
(Chinese) 92h:20073 


Items with secondary classifications in 20H05 


Menal, Pere (with Vaserstein, Leonid N.) On subgroups of GL2 over Banach algebras and 
von Neumann regular rings which are normalized by elementary matrices. 92h:16009 

Rapinchuk, A.S. The congruence subgroup problem for arithmetic groups of bounded 
generation. (Russian) 92b:20053 

Vaserstein, Leonid N. see Menal, Pere, 92h:16009 

Vulakh, L. Ya. Classification of maximal Fuchsian subgroups of some Bianchi groups. 
92i:11047 


20H10 Fuchsian groups and their generalizations 
[see also 11F 06, 22E40, 30F35, 32Nxx] 


Bujalance, Emilio (with Gromadzki, Grzegorz) On nilpotent groups acting on Klein 
surfaces. 92g:20076 

Gehring, F. W. (with Martin, Gaven J.) Inequalities for Mébius transformations and 
discrete groups. 92j:20047 

Gromadzki, Grzegorz Supersoluble groups of automorphisms of nonorientable Riemann 
surfaces. 92¢:20037 

— On soluble groups of automorphism of Riemann surfaces. 92i:20052 

— see also Bujalance, Emilio, 92g:20076 

Hewitt, P.R. The paucity of “large” solvable groups. 92j:20048 

Martin, Gaven J. see Gehring, F. W., 92j:20047 

Seppala, Mika (with Sorvali, Tuomas) Traces of commutators of Mobius transformations. 
92k:20093 

Sorvali, Tuomas see Seppala, Mika, 92k:20093 


Items with secondary classifications in 20H10 

Anderson, James W. On the finitely generated intersection property for Kleinian groups. 
92i:30042 

Beardon, Alan F. (with Stephenson, Kenneth) The uniformization theorem for circle 
packings. 92b:52038 

Bujalance, Emilio (with Etayo Gordejuela, José Javier; Gamboa, José M.; Gromadzki, 
Grzegorz) * Automorphism groups of compact bordered Klein surfaces. 92a:14018 

Conder, Marston Experimental algebra. 92k:20007 

Etayo Gordejuela, José Javier see Bujalance, Emilio; et al., 92a:14018 

Feighn, Mark (with Mess, Geoffrey) Conjugacy classes of finite subgroups of Kleinian 
groups. 92a:57042 

Fine, Benjamin (with Rosenberger, Gerhard) Generalizing algebraic properties of Fuchsian 
groups. 92h:20052 

Gabai, David Convergence groups are Fuchsian groups. 92h:57056 

Gamboa, José M. see Bujalance, Emilio; et al., 92a:14018 

Gehring, F. W. (with Martin, Gaven J.) Axial distances in discrete Mébius groups. 
92m:30082 

Gilman, Jane A geometric approach to Jorgensen’s inequality. 92c:30051 

— (with Maskit, B.) An algorithm for 2-generator Fuchsian groups. 92f:30062 

Gromadzki, Grzegorz see Bujalance, Emilio; et al., 92a:14018 

Harer, John The third homology group of the moduli space of curves. 92d:57012 

Hatcher, Allen On triangulations of surfaces. 92f:57020 

He, Zheng-Xu An estimate for hexagonal circle packings. 92b:52039 

Iwasaki, Katsunori Moduli and deformation for Fuchsian projective connections on a 
Riemann surface. 92m:32039 

Kapovich, M. E. (with Potyagailo, L. D.) On the absence of Ahifors’ finiteness theorem for 
Kleinian groups in dimension three. 92j:57023 

Kulkarni, Ravi S. A finiteness theorem for planar discontinuous groups. 92a:57044 

— A note on Wiman and Accola-Maclachlan surfaces. 92j:30045 

— (with Maclachlan, Colin) Cyclic p-groups of symmetries of surfaces. 92e:57052 

Kurittu, Lassi Jordan curves as the limit point sets of Kleinian groups. 92a:30043 

Lustig, Martin (with Moriah, Yoav) Nielsen equivalence in Fuchsian groups and Seifert 
fibered spaces. 92e:57001 

Maclachlan, Colin (with Reid, Alan W.) Parametrizing Fuchsian subgroups of the Bianchi 
groups. 92d:11040 

— see also Kulkarni, Ravi S., 92e:57052 

Martin, Gaven J. see Gehring, F. W., 92m:30082 

Maskit, B. see Gilman, Jane, 92f:30062 

Matsuzaki, Katsuhiko A characterization of extended Schottky type groups with a remark to 
Ahifors’ conjecture. 92h:30084 

May, Coy L. Complex doubles of bordered Klein surfaces with maximal symmetry. 
92d:30030 

Mess, Geoffrey see Feighn, Mark, 92a:57042 

Minsky, Yair N. Harmonic maps into hyperbolic 3-manifolds. 92j:58027 

Moriah, Yoav see Lustig, Martin, 92e:57001 

Neumann, Walter D. (with Reid, Alan W.) Amalgamation and the invariant trace field of a 
Kleinian group. 92b:30053 

Niblo, G. A. Separability properties of free groups and surface groups. 92m:20019 





353 1992 


Olshanskii, G.I. Representations of infinite-dimensional classical groups, limits of 
enveloping algebras, and Yangians. 92g:22039 

Potyagailo, L. D. see Kapovich, M. E., 92j:57023 

Rasetti, Mario G. The mapping class group in statistical mechanics: a concise review. 
92j:82015 

Reid, Alan W. see Neumann, Walter D., 92b:30053 and Maclachlan, Colin, 92d:11040 

Rosenberger, Gerhard Minimal generating systems for plane discontinuous groups and an 
equation in free groups. 92c:20061 

— see also Fine, Benjamin, 92h:20052 

Schwarz, Binyamin (with Zaks, Abraham) Non-Euclidean motions in projective matrix 
spaces. 92a:51025 

Soma, Teruhiko Intersection of finitely generated surface groups. II. 92f:57006 

Stephenson, Kenneth see Beardon, Alan F., 92b:52038 

Tanigawa, Harumi Orbits and their accumulation points of cyclic subgroups of modular 
groups. 92f:32037 

Yamamoto, Hiro-o An example of a nonclassical Schottky group. 92m:30078 

Zaks, Abraham see Schwarz, Binyamin, 92a:51025 


20H15 Other geometric groups, including crystallographic groups 
[see also 51-XX, especially 51F15, and 82D25] 


Auslander, L. (with Cook, M.) An algebraic classification of the three-dimensional 
crystallographic groups. 92a:20054 

Botya, F. V. Interior Bravais manifolds for the F$ edge of the polyhedron P(4). (Russian) 
92e:20038 

Boiovié, Ivan see Bozovi¢, Natasa, (92f:81008) 

Bozovié, Nata’a (with Bozovi¢, Ivan) Line groups and the quantum theory of polymers. 
(see 92£:81008) 

Bujalance, Emilio (with Martinez, Ernesto) A note on NEC groups of surfaces with 
boundary. (Spanish) (see 92g:00024) 

Cohen, Arjeh M. Presentations for certain finite quaternionic reflection groups. 92k:20094 

Cook, M. see Auslander, L., 92a:20054 

Del Duca, Vittorio Tensor algebra for the icosahedral group. (see 92f:81008) 

Deodhar, Vinay V. Duality in parabolic set up for questions in Kazhdan-Lusztig theory. 
92j:20049 

Du, Jie Sign types and Kazhdan-Lusztig cells. 92c:20089 

Florek, W. (with Lulek, T.) Wreath product in factorization of holosymmetric group. 
92h:20074 

Grimmer, Hans General connections for the form of property tensors in the 122 Shubnikov 
point groups. 92h:20075 

Hatch, Dorian M. see Stokes, Harold T., 92h:20077 

Hiss, Gerhard (with Szczepanski, Andrzej) On torsion free crystallographic groups. 
92i:20053 

Hughes, M.C. Complex reflection groups. 92a:20056 

Jablan, Slavik V. Plane and layer (p2, 2')-symmetry groups. (Serbo-Croatian summary) 

— Plane and layer (p’, 2')-symmetry groups. (Serbo-Croatian summary) 

— Algebra of antisymmetric characteristics. 92¢c:20090 

— Enantiomorphism of noncrystallographic simple and multiple antisymmetry groups of 
rods. (Serbo-Croatian summary) 92m:20042 

— Color-symmetry groups of friezes. (Serbo-Croatian summary) 92m:20043 

— see also Palistrant, A. F., 92g:20077 

Janssen, Ted W. J. M. The symmetry of quasiperiodic systems. 92c:20091 

— Erratum: “The symmetry of quasiperiodic systems” [Acta Cryst. Sect. A 47 (1991), no. 3, 
243-255; MR 92c:20091]. 92h:20076 

Johnson, Robert Warren Unimodularly invariant forms and the Bravais lattices. 92a:20055 

Kopsky, Vojtéch (with Litvin, D. B.) Scanning of space groups. (see 92f:81008) 

— Reducibility of Euclidean motion groups. (see 92g:81003) 

Kropholler, P. H. (with Moselle, B.) A family of crystallographic groups with 2-torsion in 
Ko of the rational group algebra. 92f:20049 

Litvin, D. B. International-like tables for layer groups. (see 92:81008) 

— see also Kopsky, Vojtéch, (92:81008) 

Lutié, Z. (with Molnar, Emil) Combinatorial classification of fundamental domains of 
finite area for planar discontinuous isometry groups. 92a:20057 

Lulek, T. see Florek, W., 92h:20074 

Martinez, Ernesto see Bujalance, Emilio, (92g:00024) 

Molnar, Emil see Luti¢, Z., 92a:20057 

Moselle, B. see Kropholler, P. H., 92f:20049 

Pachi, V.S. Hypercrystallographic P-symmetries with the group P = Gg39 and their 
application. (Russian) (see 92m:00022) 

Palistrant, A. F. (with Jablan, Slavik V.) Enantiomorphism of three-dimensional space and 
line multiple antisymmetry groups. 92g:20077 

Piunikhin, S. A. Some new results on quasicrystallographic groups in the sense of Novikov. 
(Russian) 92j:20050 

Senechal, Marjorie * Crystalline symmetries. 92c:20092 

Stokes, Harold T. (with Hatch, Dorian M.) * Isotropy subgroups of the 230 crystallo- 
graphic space groups. 92h:20077 

Szczepatiski, Andrzej see Hiss, Gerhard, 92i:20053 

Wijnands, Frank An algorithm to find generators for the normalizer of an n-dimensional 
crystallographic point group in GL(n, Z). 92h:20078 


Items with secondary classifications in 20H15 


An, Myoung (with Lu, Chun Qing; Prince, E.; Tolimieri, Richard) Fast Fourier transforms 
for space groups containing rotation axes of order three and higher. 

Apanasov, B. N. (with Gutsul, I. S.) Closed hyperbolic 3-manifolds of equal volume. 
(Russian) 92e:57025 

Cheredov, V. N. Crystallographic vector sets and their combinatorial properties. (Russian) 
92g:82120 

Davies, B. L. (with Dirl, R.) A software package for IBM-compatible PCs to compute 
generalized compatibility relations for full space group representations. (see 92f:81008) 


20H Other groups of matrices 


20H20 


— (with Dirl, R.) Software packages: space groups and their representations. (see 
92g:81003) 

— see also Dirl, R., (92f:81008) and (92g:81003) 

Dirl, R. (with Davies, B. L.) Nongeneric wave vector selection rules. (see 92f:81008) 

— (with Davies, B. L.) Software packages: transformation coefficients for space groups. (see 
92g:81003) 

— see also Davies, B. L., (92f:81008) and (92g:81003) 

Dress, Andreas W. M. Repetition und Metamorphose—zum Symmetriebegriff in der Math- 
ematik. [Repetition and metamorphosis—on the concept of symmetry in mathematics] 
924:51010 

Estévez, José L. Pairs of nonnormal NEC signatures. (Spanish. English summary) (see 
92m:00050) 

Falicov, L. M. see Freericks, J. K., 92k:82072 

Fang, Ai Nong On the basic formulas and Vahlen’s theorem of the Mébius transformations 
acting in R". (Chinese summary) 92b:30056 

Feiste, Uwe see Flachsmeyer, Jiirgen; et al., 92m:52045 

Flachsmeyer, Jiirgen (with Feiste, Uwe; Manteuffel, Kari) * Mathematik und ornamentale 
Kunstformen. (German) [Mathematics and ornamental art forms] 92m:52045 

Freericks, J. K. (with Falicov, L.M.) Enlarged symmetry groups of finite-size clusters with 
periodic boundary conditions. 92k:82072 

Futornyi, V.M. see Ustimenko, V. A., 92b:51009 

Galiulin, R. V. (with Konovalov, O. V.) Complete varieties of two-dimensional isogonal 
minimum graphs. (Russian) 92d:05163 

Gruber, Boris see de Wolff, P. M., 92d:82103 

Gutsul, I.S. see Apanasov, B. N., 92e:57025 

Humphreys, James E. * Reflection groups and Coxeter groups. 92h:20002 

Janner, A. Complex crystallographic order. 92h:82122 

— Which symmetry will an ideal quasicrystal admit? 92j:82063 

— Non-Euclidean symmetries in crystals. 92h:82123 

Konovalov, O. V. see Galiulin, R. V., 924:05163 

Loginov, B. V. (with Rakhmatova, Kh. R.; Yuldashev, N. N.) Ona branching equation of 
periodic solutions with a crystallographic symmetry group. (Russian) 92j:47126 

La, Chun Qing see An, Myoung; et al. 

Manteuffel, Karl see Flachsmeyer, Jiirgen; et al., 92m:52045 

Matsuzaki, Katsuhiko Geometric finiteness, quasiconformal stability and surjectivity of the 
Bers map for Kleinian groups. 92h:30086 

Mermin, N. David Reinventing crystallography: the forbidden lattices and spacegroups. (see 
92£:81008) 

— see also Rabson, David A.; et al., 92£:82071 

Niizeki, Komajiro Special lines of quasilattices. I. The case of irreducible quasilattices in 
two and three dimensions. 92f:82070a 

— Special lines of quasilattices. II. The case of (2 + 1)-reducible quasilattices in three 
dimensions. 92:82070b 

Phan, Thérése (with Veysseyre, R.; Weigel, D.) Crystallography, geometry and physics 
in higher dimensions. X. Super point groups in five-dimensional space for the di- 
incommensurate structures. 92i:82116 

— see also Veysseyre, R.; et al., 92c:82109 

Prince, E. see An, Myoung; et al. 

Rabson, David A. (with Mermin, N. David; Rokhsar, Daniel S.; Wright, David C.) The 
space groups of axial crystals and quasicrystals. 92f:82071 

Rakhmatova, Kh. R. see Loginov, B. V.; et al., 92j:47126 

Rokhsar, Daniel S. see Rabson, David A.; et al., 92f:82071 

Sokolov, V. I. The “natural” hierarchy of symmetry elements based on the intrinsic property 
of dimensionality and the corresponding tree of the symmetry groups. 

Tits, Jacques Symmetrie. [Symmetry] 92g:51018 

Tolimieri, Richard see An, Myoung; et al. 

Ustimenko, V. A. (with Futornyi, V.M.) On Hecke algebras corresponding to Tits 
geometries. (Russian summary) 92b:51009 

Vedernikov, S. V. Invariant parts of a region of symmetry. (Russian) 92e:51023 

Veysseyre, R. (with Phan, Thérése; Weigel, D.) Crystallography, geometry and physics 
in higher dimensions. IX. Counting and geometry of the 32 crystal families of five- 
dimensional space. 92c:82109 

— see also Phan, Thérese; et al., 92i:82116 

Wada, Masaaki Conjugacy invariants of Mébius transformations. 92a:30048 

Weigel, D. see Veysseyre, R.; et al., 92c:82109 and Phan, Thérese; et al., 92i:82116 

Whittaker, E. J. W. (with Whittaker, R. M.) Orientational parameters of n-dimensional 
symmetry operations. 92m:82144 

Whittaker, R. M. see Whittaker, E. J. W., 92m:82144 

de Wolff, P. M. (with Gruber, Boris) Niggli lattice characters: definition and graphical 
representation. 92d:82103 

Wright, David C. see Rabson, David A.; et al., 92f:82071 

Yuldashev, N. N. see Loginov, B. V.; et al., 92j:47126 

Zamorzaev, A.M. Some properties of multidimensional groups of conformal symmetry. 
(Russian) 92a:53016 


20H20 Other matrix groups over fields 


Bashkirov, E. L. Some subgroups of the special linear group over a field. (Russian. English 
summary) 92k:20095 

Belegradek, O. V. Groups elementarily equivalent to UT3(R). (see 92a:03004) 

Brzdek, Janusz Subgroups of the Clifford group. 92d:20072 

Cameron, Peter J. (with Hall, J. 1.) Some groups generated by transvection subgroups. 
92g:20078 

Hall, J. 1. see Cameron, Peter J., 92g:20078 

Liu, Shao Wu see Wang, Lu Qun; et al., 92i:20054 

Sysak, Ya. P. Linear groups that are decomposable into a product of locally nilpotent 
subgroups. (Russian) 92b:20057 

Wang, Lu Qun (with Liu, Shao Wu) Automorphisms of nonregular symplectic groups. 
(Chinese. English summary) 92i:20054 





20H20 


Items with secondary classifications in 20H20 

de Oliveira, Graciano Interlacing inequalities. Matrix groups. 92k:15027 

Raghunathan, M.S. A note on generators for arithmetic subgroups of algebraic groups. 
92j:22024 

Turull, Alexandre (with Zame, Alan) Number of prime divisors and subgroup chains. 
92a:20052 

Zame, Alan sce Turull, Alexandre, 92a:20052 


20H25 Other matrix groups over rings 


Chen, Yu? Homomorphisms of two-dimensional linear groups over Laurent polynomial 
rings and Gaussian domains. 92e:20039 

Golubchik, I. Z. Groups of Lie type over PI-rings. (Russian) 92b:20058 

Gudivok, P.M. Sylow subgroups of the general linear group over the ring of integers. 
(Russian) 92g:20079 

Kniippel, F. 5-reflectionality of anisotropic orthogonal groups over valuation rings. 
92j:20051 

Liu, Chang An A theorem on the generators of the groups defined by symmetric matrices 
over local rings of characteristic 2. (Chinese. English summary) 92b:20059 

Menal, Pere (with Vaserstein, Leonid N.) On the structure of GL, over stable range one 
rings. 92a:20058 

Vaserstein, Leonid N. see Menal, Pere, 92a:20058 

Wehrfritz, B. A. F. Polycyclic group algebras and theorems of Harper and Lichtman. 
92k:20096 


Items with secondary classifications in 20H25 

Bak, Anthony Nonabelian K-theory: the nilpotent class of K, and general stability. 
92g:19001 

Grunewald, Fritz (with Mennicke, Jens; Vaserstein, Leonid N.) On symplectic groups over 
polynomial rings. 92a:19001 

Hinson, Edward K. On Vaserstein’s power operation on elementary orbits. 92k:19001a 

— On Vaserstein’s power operation on elementary orbits. 92k:19001b 

Mason, A. W. (with Odoni, R. W. K.; Stothers, W. W.) Almost all Bianchi groups have free, 
noncyclic quotients. 92j:11042 

Mennicke, Jens see Grunewald, Fritz; et al., 92a:19001 

Odoni, R. W. K. see Mason, A. W.; et al., 92j:11042 

Stothers, W. W. see Mason, A. W.; et al., 92j:11042 

Vaserstein, Leonid N. see Grunewald, Fritz; et al., 92a:19001 

Wehrfritz, B. A. F. Crossed product criteria and skew linear groups. II. 92j:16019b 

— Cressed product criteria and skew linear groups. 92j:16019a 

— On rings of quotients of group algebras of soluble groups of finite rank. 92k:16039 


20H30 Other matrix groups over finite fields 


Mushtaq, Q. (with Shaheen, F.) Some special circuits in coset diagrams. 92m:20044 
Shaheen, F. see Mushtaq, Q., 92m:20044 
Items with secondary classifications in 20H30 


Kondrat'ev, Anatolii Semenovich Finite linear groups of degree 6. (Russian) 92c:20087 
Schulz, Ralph-Hardo Some check digit systems over nonabelian groups. 92k:94033 


20Jxx Connections with homological algebra and 
category theory 


20305 Homological methods in group theory 


Adem, Alejandro (with Carlson, Jon F.) Discrete groups with large exponents in cohomol- 
ogy. 92b:20060 

Alperin, Roger C. (with Sahleh, H.) Hopf’s formula and the Schur multiplicator for 
topological groups. 92j:20052 

Barja Pérez, Javier (with Rodriguez-Fernandez, Celso) Homology sequences with 
coefficients in Z/qZ associated with two subgroups of a group. (Spanish) (see 92g:00024) 

Campo Andién, M. see Rodriguez-Fernandez, Celso, (92m:00048) 

Carlson, Jon F. see Adem, Alejandro, 92b:20060 

Casacuberta, Carles The behaviour of homology in the localization of finite groups. 
92g:20080 

Cattaneo, U. Invariants and 1-cocycles of some covariant G-modules. (see 92c:00017) 

Ellis, Graham J. On the higher universal quadratic functors and related computations. 
92g:20081 

Gilbert, N. D. Derivations, automorphisms and crossed modules. 92b:20061 

Hartley, Brian (with Stohr, Ralph) A note on the homology of free abelianized extensions. 
92d:20073 

— (with Stohr, Ralph) Homology of higher relation modules and torsion in free central 
extensions of groups. 92d:20074 

Horadam, K. J. The cohomology ring of an HNN extension of combinatorially aspherical 
groups. 92g:20082 

Kovach, L.G. (with Kuz'min, Yu. V.; Stohr, Ralph) Homology of free abelian extensions of 
groups. (Russian) 92k:20097 

Kaz'min, Yu. V. see Kovach, L. G.; et al., 92k:20097 

Linnell, P. A. Cup products and group extensions. 92b:20062 

Mislin, Guido On group homomorphisms inducing mod-p cohomology isomorphisms. 
92a:20059 

Rodriguez-Fernandez, Celso (with Campo Andién, M.) The nonabelian tensor product. 
(Spanish. English summary) (see 92m:00048) 

— see also Barja Pérez, Javier, (92g:00024) 

Sahleh, H. see Alperin, Roger C., 92j:20052 

Stohr, Ralph see Hartley, Brian, 92d:20073; 92d:20074 and Kovach, L. G.; et al., 92k:20097 

Vermani, L.R. Polynomial 2-cocycles. 92k:20098 


GROUP THEORY AND GENERALIZATIONS 


Items with secondary classifications in 20J05 


Aljadeff, Eli Homological duality for crossed products. 92c:16030 

Bavard, Christophe Longueur stable des commutateurs. [Stable length of commutators] 
92g:20051 

Bieri, R. (with Hillman, Jonathan A.) Subnormal subgroups of 3-dimensional Poincaré 
duality groups. 92e:57002 

Bousfield, A. K. On the p-adic completions of nonnilpotent spaces. 92g:55014 

Brookes, C. J. B. Finite presentability and Heisenberg representations. 92g:20048 

Dijkgraaf, Robbert (with Pasquier, V.; Roche, Ph.) Quasi Hopf algebras, group cohomology 
and orbifold models. 92m:81238 

Epstein, D. B. A. (with Thurston, W. P.) Combable groups. 92k:20062 

Gillet, Henri (with Shalen, Peter B.) Cohomological dimension of groups acting on R-trees. 
92k:57001 

Groves, J. R. J. Rewriting systems and homology of groups. 92e:20022 

Haran, Dan A proof of Serre’s theorem. 92a:20028 

Hartley, Brian (with Kuz'min, Yu. V.) On the quotient of a free group by the commutator 
of two normal subgroups. 92h:20047 

Hillman, Jonathan A. see Bieri, R., 92e:57002 

Kuz'min, Yu. V. see Hartley, Brian, 92h:20047 

Pasquier, V. see Dijkgraaf, Robbert; et al., 92m:81238 

Roche, Ph. see Dijkgraaf, Robbert; et al., 92m:81238 

Shalen, Peter B. see Gillet, Henri, 92k:57001 

Stein, Melanie Groups of piecewise linear homeomorphisms. 92k:20075 

Tezuka, M. (with Yagita, N.) Cohomology of finite groups and Brown-Peterson cohomol- 
ogy. II. 92b:55003 

Thurston, W. P. see Epstein, D. B. A., 92k:20062 

Yagita, N. see Tezuka, M., 92b:55003 


20306 Cohomology of finite groups 


Adem, Alejandro (with Maginnis, John; Milgram, R. James) The geometry and cohomology 
of the Mathieu group M2. 92g:20083 

— Cohomological nonvanishing for modules over p-groups. 92h:20079 

Asai, Tsunenobu A dimension formula for the cohomology rings of finite groups with 
dihedral Sylow 2-subgroups. 92g:20084 

Assadi, Amir H. Permutation complexes and modular representation theory. 92h:20080 

Gurainick, Robert M. (with Kimmerle, Wolfgang) On the cohomology of alternating and 
symmetric groups and decomposition of relation modules. 92d:20075 

Huebschmann, Johannes Cohomology of finitely generated abelian groups. 92d:20076 

— Cohomology of metacyclic groups. 92c:20093 

Kahn, Bruno Eléments rassurants dans la cohomologie d’un groupe fini. (English summary) 
[Reassuring elements in the cohomology of a finite group] 92j:20053 

Kawai, Hiroaki On the cohomology of finite groups and the applications to modular 
representations. 92a:20060 

Kimmerle, Wolfgang see Guralnick, Robert M., 92d:20075 

Kleshchev, A.S. 1-cohomology of the special linear group with coefficients in the module of 
truncated polynomials. (Russian) 92m:20045 

Maginnis, John see Adem, Alejandro; et al., 92g:20083 

Marx, Tadeusz The restriction map in cohomology of finite 2-groups. 92b:20063 

Milgram, R. James see Adem, Alejandro; et al., 92g:20083 

Stricker, M. On the cohomology of finite groups with simple coefficients. 92¢:20094 

Webb, P. J. A split exact sequence of Mackey functors. 92c:20095 


Items with secondary classifications in 20J06 

Allday, C. (with Puppe, V.) Some applications of shifted subgroups in transformation 
groups. 92j:57022 

Arnold, James E. The permutation projective dimension of the quaternionic group. 
92d:20012 

Benson, David John * Representations and cohomology. I. 92m:20005 

Bullejos, Manuel (with Cegarra, Antonio M.) A 3-dimensional nonabelian cohomology of 
groups with applications to homotopy classification of continuous maps. 92k:18012 

Cegarra, Antonio M. see Bullejos, Manuel, 92k:18012 

Okuyama, Tetsuro (with Sasaki, Hiroki) Periodic modules of large periods for metacyclic 
p-groups. 92k:20017 

Puppe, V. see Allday, C., 92j:57022 

Sanada, Katsunori On the periodic cohomology of a twisted group algebra. 92g:16017 

Sasaki, Hiroki see Okuyama, Tetsuro, 92k:20017 

Schlicker, Steven J. On the linear, symplectic and orthogonal K groups of Z/p?Z in 
dimensions | through 5. 92h:19002 

Stominska, Jolanta Finiteness conditions in Bredon cohomology. 92j:55004 

Symonds, Peter A splitting principle for group representations. 92h:20015 

Willems, Wolfgang On irreducible faithful modules and their cohomology. 92d:20015 

Wiirfel, Tilmann Dimension-preserving extensions of pro-p-groups. 92b:20031 


20J15 Category of groups 


Items with secondary classifications in 20J15 

Fay, Temple H. (with Walls, Gary L.) Categorically compact locally nilpotent groups. 
92d:22001 

— (with Walls, Gary L.) A corrigendum: “Categorically compact locally nilpotent groups” 
[Comm. Algebra 18 (1990), no. 10, 3423-3435; MR 92d:22001]. 

Walls, Gary L. see Fay, Temple H., 92d:22001 


20J99 None of the above, but in this section 


Dyer, M. N. (with Leahy, J. V.; Mooney, L. J.) On the cup product for groups. 92k:20099 
Leahy, J. V. see Dyer, M. N.; et al., 92k:20099 
Mooney, L. J. see Dyer, M. N.; et al., 92k:20099 





355 1992 


Items with secondary classifications in 20J99 


Shirasou, Takeo A note on the generalization to infinite degree of Neukirch’s last reci- 
procity. (Japanese. English summary) 


20Kxx Abelian groups 


20K01 Finite abelian groups 


Corradi, Keresztély (with Szab6, Sandor) Factoring by subsets of cardinality of a prime or a 
power of a prime. 92k:20100 

Evans, Anthony B. On elementary abelian Cartesian groups. 92d:20077 

Moews, David Keller’s conjecture for certain finite groups. 92k:20101 

Szab6, Sandor see Corrddi, Keresztély, 92k:20100 


Items with secondary classifications in 20K01 

Butler, Lynne M. Generalized flags in finite abelian p-groups. 92j:05181 

Erdés, Paul (with Ivic, Aleksandar) On the iterates of the enumerating function of finite 
abelian groups. 92e:11098 

Hoechsmann, Klaus (with Ritter, Jiirgen) Constructible units in abelian p-group rings. 
92a:20008 

Ivi¢é, Aleksandar see Erdés, Paul, 92e:11098 

Kahn, Jeff (with Meshulam, Roy) On mod p transversals. 92k:05129 

Kochergin, V. V. On the complexity of computations in finite abelian groups. (Russian) 
92i:20021 

Meshulam, Roy see Kahn, Jeff, 92k:05129 

Nowak, Werner Georg On the average number of finite abelian groups of a given order. 
(French summary) 92m:11104 

Ritter, Jiirgen see Hoechsmann, Klaus, 92a:20008 

Zhu, Lie! S-independent set and the minimum distance of abelian codes. 92m:94024 


20K05 Finitely generated groups 


Belyakova, N. P. Determinability of finitely generated abelian groups by the lattice of 
subgroups invariant under an involutive automorphism. (Russian) 92c:20096 


Items with secondary classifications in 20K05 
Griess, Robert L., Jr. A structure constant problem of Goddard and Olive. 92f:17028 


20K10 Torsion groups, primary groups and generalized primary 
groups 

Benabdallah, K. (with Charles, Bernard; Mader, A.) Vertical subgroups of primary abelian 
groups. 92c:20097 

— (with Okuyama, Takashi) On purifiable subgroups of primary abelian groups. 92a:20061 

Charles, Bernard see Benabdallah, K.; et al., 92c:20097 

Dugas, Manfred (with Gobel, Riidiger) Separable abelian p-groups having certain 
prescribed chains. 92f:20050 

Gdbel, Riidiger see Dugas, Manfred, 92:20050 

Janakiraman, S. Skew pure projective abelian groups. 92d:20078 

Keef, Patrick Elongations of totally projective groups and p”*"-projective groups. 
92d:20079 

— On iterated torsion products of abelian p-groups. 92k:20102 

— Aclass of primary abelian groups characterized by its socles. 92i:20055 

Mader, A. see Benabdallah, K.; et al., 92c:20097 

Okuyama, Takashi see Benabdallah, K., 92a:20061 


Items with secondary classifications in 20K10 


Clivio, A. Algorithmic aspects of Z[x;,---, Xn] with applications to tiling problems. 
92j:13024 
Faticoni, Theodore G. A new proof of the Baer-Kaplansky theorem. 92g:20088 


Hill, Paul (with Lane, Mark; Megibben, Charles) On the structure of p-local abelian groups. 


92i:20056 

Lady, E. L. (with Mader, A.) Extensions of order p. 92g:20089 

Lane, Mark see Hill, Paul; et al., 92i:20056 

Mader, A. see Lady, E. L., 92g:20089 

Megibben, Charles see Hill, Paul; et al., 92i:20056 

Pretorius, L.M. (with Schoeman, M. J.) Torsion-completeness over domains with one- 
dimensional quotient field. 92d:13007 

Schoeman, M. J. see Pretorius, L. M., 92d:13007 


20K15 Torsion free groups, finite rank 


Albrecht, Ulrich (with Hausen, Jutta) Modules with the quasi-summand intersection 
property. 92h:20081 

Arnold, David M. (with Vinsonhaler, C. i.) Isomorphism invariants for abelian groups. 
92:20051 

Faticoni, Theodore G. (with Goeters, H. Pat) Examples of torsion-free groups flat as 
modules over their endomorphism rings. 92c:20098 

Fuchs, Laszl6' (with Metelli, Claudia) On a class of Butler groups. 92g:20085 

Goeters, H. Pat (with Ullery, William) Butler groups and lattices of types. 92c:20099 

— (with Ullery, William) Homomorphic images of completely decomposable finite rank 
torsion-free groups. 92g:20086 

— see also Faticoni, Theodore G., 92c:20098 

Hausen, Jutta see Albrecht, Ulrich, 92h:20081 

Metelli, Claudia see Fuchs, Laszi6', 92g:20085 

Pierce, R.S. (with Vinsonhaler, C. 1.) Carriers of torsion-free groups. 92b:20064 

Richman, Fred The constructive theory of torsion-free abelian groups. 92d:20080 

Ullery, William see Goeters, H. Pat, 92c:20099 and 92g:20086 


20K Abelian groups 


Vinsonhaler, C. 1. see Pierce, R. S., 92b:20064 and Arnold, David M., 92f:20051 


Items with secondary classifications in 20K15 

Brick, Stephen G. Relative normal-convexity and amalgamations. 92g:20037 
Eklof, Paul C. (with Mekler, Alan H.) * Almost free modules. 92e:20001 
Lady, E. L. (with Mader, A.) Extensions of order p. 92g:20089 

Mader, A. see Lady, E. L., 92g:20089 

Mekler, Alan H. see Eklof, Paul C., 92e:20001 

Pierce, R.S. (with Vinsonhaler, C. 1.) Realizable posets. 92g:06005 

Trlifaj, Jan Nonperfect rings and a theorem of Eklof and Shelah. 92h:03078 
Vinsonhaler, C. I. see Pierce, R. S., 92g:06005 


20K20 Torsion free groups, infinite rank 


Chekhlov, A. R. Abelian torsion-free CS-groups. (Russian) 92b:20065 

Dugas, Manfred (with Irwin, John) On basic subgroups of [] Z. 92j:20054 

— (with Thomé, Bernhard) Countable Butler groups and vector spaces with four distin- 
guished subspaces. 92d:20081 

— Large E-modules exist. 92j:20055 

Evans, Martin Julian Torsion in pro-finite completions of torsion-free groups. 92b:20066 

Fuchs, Laszl6' (with Metelli, Claudia) Indecomposable Butler groups of large cardinalities. 
92g:20087 

Irwin, John see Dugas, Manfred, 92j:20054 

Krylov, P. A. Direct sums of strongly homogeneous abelian groups. (Russian) 92k:20103 

Metelli, Claudia see Fuchs, Laszlé', 92g:20087 

Thomé, Bernhard see Dugas, Manfred, 92d:20081 


Items with secondary classifications in 20K20 

Albrecht, Ulrich (with Hausen, Jutta) Modules with the quasi-summand intersection 
property. 92h:20081 

Eklof, Paul C. (with Mekler, Alan H.) * Almost free modules. 92e:20001 

Hausen, Jutta see Albrecht, Ulrich, 92h:20081 

Mekler, Alan H. see Eklof, Paul C., 92e:20001 

Monari Martinez, Elisabetta Some properties of Butler modules over valuation domains. 
92m:13015 

Thomé, Bernhard &-separable groups and Kaplansky’s test problems. 92a:20062 

Wolfson, Kenneth G. Locally free modules. 92c:16003 


20K21 Mixed groups 


Hill, Paul (with Lane, Mark; Megibben, Charles) On the structure of p-local abelian groups. 
92i:20056 

Lane, Mark see Hill, Paul; et al., 92i:20056 

Mahdavi, Kazem (with Poland, John) On lattice-isomorphic abelian groups. 92k:20104 

Megibben, Charles see Hill, Paul; et al., 92i:20056 

Poland, John see Mahdavi, Kazem, 92k:20104 


Items with secondary classifications in 20K21 

Jarek, Pawel (with Sasiada, Edward) Some remarks on the splitting problem for mixed 
abelian groups. (Russian summary) 92f:20052 

Sasiada, Edward see Jarek, Pawel, 92f:20052 


20K25 Direct sums, direct products, etc. 


Thomé, Bernhard §,-separable groups and Kaplansky’s test problems. 92a:20062 
Zhou, Shi Fan The structure of a class of abelian groups. (Chinese. English summary) 
92i:20057 


Items with secondary classifications in 20K25 

Albrecht, Ulrich (with Hausen, Jutta) Modules with the quasi-summand intersection 
property. 92h:20081 

Dugas, Manfred (with Irwin, John) On basic subgroups of [] Z. 92j:20054 

Hausen, Jutta see Albrecht, Ulrich, 92h:20081 

Irwin, John see Dugas, Manfred, 92j:20054 

Keef, Patrick Elongations of totally projective groups and p”*"-projective groups. 
92d:20079 

— Aclass of primary abelian groups characterized by its socles. 92i:20055 

Krylov, P. A. Direct sums of strongly homogeneous abelian groups. (Russian) 92k:20103 

Yoshikawa, Katsuyuki Homogeneity and complete decomposability of torsion free knot 
modules. 92b:16010 


20K26 Indecomposable groups 


Items with secondary classifications in 20K26 

Dugas, Manfred Large E-modules exist. 92j:20055 

Goeters, H. Pat (with Ullery, William) Butler groups and lattices of types. 92c:20099 
Ullery, William see Goeters, H. Pat, 92c:20099 





20K27 Subgroups 
Giovannitti, A. J. (with Rangaswamy, K. M.) Precobalanced subgroups of abelian groups. 
92c:20100 


Okuyama, Takashi On the existence of pure hulls in primary abelian groups. 92m:20046 
Rangaswamy, K. M. see Giovannitti, A. J., 92c:20100 


Items with secondary classifications in 20K27 


Ahmad, Musheer see Mashhood, Asif, 92g:20091 
Belyakova, N. P. Determinability of finitely generated abelian groups by the lattice of 
subgroups invariant under an involutive automorphism. (Russian) 92c:20096 





20K27 


Benabdallah, K. (with Okuyama, Takashi) On purifiable subgroups of primary abelian 
groups. 92a:20061 

Mashhood, Asif (with Ahmad, Musheer) On group of P-neat extensions. 92g:20091 

— see also Ramana Murthy, N. V., 92g:20090 

Okuyama, Takashi see Benabdallah, K., 92a:20061 

Ramana Murthy, N. V. (with Mashhood, Asif) On Frattini-high extensions. 92g:20090 


20K30 Automorphisms, homomorphisms, endomorphisms, etc. 


Bodnarchuk, Yu. V. Automorphisms of multiple wreath products of abelian p-groups. 
(Russian. Ukrainian summary) 92m:20047 

Evans, David M. (with Hodges, Wilfrid; Hodkinson, I. M.) Automorphisms of bounded 
abelian groups. 92k:20105 

Faticoni, Theodore G. A new proof of the Baer-Kaplansky theorem. 92g:20088 

Hodges, Wilfrid see Evans, David M.; et al., 92k:20105 

Hodkinson, I. M. see Evans, David M.; et al., 92k:20105 


Items with secondary classifications in 20K30 

Dugas, Manfred (with Thomé, Bernhard) Countable Butler groups and vector spaces with 
four distinguished subspaces. 92d:20081 

— Large E-modules exist. 92j:20055 

— (with Hausen, Jutta; Johnson, Johnny A.) Rings whose additive endomorphisms are ring 
endomorphisms. 92k:16044 

Faticoni, Theodore G. (with Goeters, H. Pat) Examples of torsion-free groups flat as 
modules over their endomorphism rings. 92c:20098 

Fong, Y. (with Pilz, G.) Near-rings generated by semi-endomorphisms of groups. 
92k:16058 

Fuchs, Laszl6' (with Metelli, Claudia) Indecomposable Butler groups of large cardinalities. 
92g:20087 

Goeters, H. Pat see Faticoni, Theodore G., 92c:20098 

Hausen, Jutta (with Johnson, Johnny A.) A note on constructing E-rings. 92d:16039 

— see also Dugas, Manfred; et al., 92k:16044 

Johnson, Johnny A. see Hausen, Jutta, 92d:16039 and Dugas, Manfred; et al., 92k:16044 

Metelli, Claudia see Fuchs, Laszl6', 92g:20087 

Morozov, A.S. Rigid constructive modules. (Russian) 92a:03050 

Pierce, R.S. (with Vinsonhaler, C. 1.) Realizable posets. 92g:06005 

— (with Vinsonhaler, C. 1.) Classifying E-rings. 92h:13013 

Pilz, G. see Fong, Y., 92k:16058 

Ponomarev, K. N. Factor-morphisms of nilpotent groups. (Russian) 92g:20054 

Thomé, Bernhard §-separable groups and Kaplansky’s test problems. 92a:20062 

— see also Dugas, Manfred, 92d:20081 

Vinsonhaler, C.I. see Pierce, R. S., 92g:06005 and 92h:13013 


20K35 Extensions 


Ahmad, Musheer see Mashhood, Asif, 92g:20091 

Jarek, Pawel (with Sasiada, Edward) Some remarks on the splitting problem for mixed 
abelian groups. (Russian summary) 92f:20052 

Lady, E. L. (with Mader, A.) Extensions of order p. 92g:20089 

Mader, A. see Lady, E. L., 92g:20089 

Mashhood, Asif (with Ahmad, Musheer) On group of P-neat extensions. 92g:20091 

— see also Ramana Murthy, N. V., 92b:20067 and 92g:20090 

Ramana Murthy, N. V. (with Mashhood, Asif) On neat-injective groups. 92b:20067 

— (with Mashhood, Asif) On Frattini-high extensions. 92g:20090 

Sasiada, Edward see Jarek, Pawel, 92f:20052 


Items with secondary classifications in 20K35 


Albrecht, Ulrich Extension functors on the category of A-solvable abelian groups. 92i:20058 
Giovannitti, A. J. (with Rangaswamy, K. M.) Precobalanced subgroups of abelian groups. 
92c:20100 


Rangaswamy, K. M. see Giovannitti, A. J., 92c:20100 
Trlifaj, Jan Nonperfect rings and a theorem of Eklof and Shelah. 92h:03078 


20K40 Homological and categorical methods 


Albrecht, Ulrich Extension functors on the category of A-solvable abelian groups. 92i:20058 
Berrick, A. J. Torsion generators for all abelian groups. 92b:20068 


Items with secondary classifications in 20K40 

Droste, Manfred (with Gobel, Riidiger) A categorial theorem on universal objects and its 
applications in abelian group theory and computer science. (see 92a:03004) 

Fuchs, Laszlé! (with Monari Martinez, Elisabetta) Butler modules over valuation domains. 
92d:13013 

Gobel, Riidiger see Droste, Manfred, (92a:03004) 

Huebschmann, Johannes Cohomology of finitely generated abelian groups. 92d:20076 

Keef, Patrick On iterated torsion products of abelian p-groups. 92k:20102 

Monari Martinez, Elisabetta see Fuchs, Laszi6', 924:13013 


20K45 Topological methods [see also 22A05, 22B05] 


Hart, Klaas Pieter (with van Mill, Jan) Discrete sets and the maximal totally bounded 
group topology. 92c:20101 
van Mill, Jan see Hart, Klaas Pieter, 92c:20101 


20K99 None of the above, but in this section 


Feigelstock, Shalom (with Raphael, R.) On additive groups of semi-local rings. 92h:20082 
Liu, Yong Cai see Zhang, Wei?; et al. 

Pui, Vladimir On multiplicative bases in abelian groups. 92f:20053 

Raphael, R. see Feigelstock, Shalom, 92h:20082 


GROUP THEORY AND GENERALIZATIONS 


Wa, Jie? see Zhang, Wei?; et al. 
Zhang, Wei? (with Wu, Jie’; Liu, Yong Cai) A class of special subsets of an abelian group. 
(Chinese. English summary) 


Items with secondary classifications in 20K99 

Baudisch, Andreas Stable actions of periodic abelian groups on abelian groups. (see 
92a:03004) 

Rao, K. P.S. Bhaskara (with Shorit, R. M.) Group-valued charges: common extensions and 
the infinite Chinese remainder property. 92¢:28008 

— (with Reid, J.D.) Abelian groups that are unions of proper subgroups. 92h:20042 

Reid, J. D. see Rao, K. P. S. Bhaskara, 92h:20042 

Shortt, R. M. see Rao, K. P. S. Bhaskara, 92c:28008 


20Lxx Groupoids (i.e. small categories in which all 
morphisms are isomorphisms) {For sets with a 
single binary operation, see 20N02; for topological 
groupoids, see 22A22, 58H05.} 


20L10 Connections with group theory 


Items with secondary classifications in 20L10 

Basarab, Serban A. On a problem raised by Alperin and Bass. I. Group actions on 
groupoids. 92h:20043 

Gilbert, N. D. Derivations, automorphisms and crossed modules. 92b:20061 

Lee, Keon Hee Topological covering morphisms of topological groupoids. II. 92¢:22009 


20L15 Connections with topology 


Items with secondary classifications in 20L15 

Johnstone, Peter T. The “closed subgroup theorem” for localic herds and pregroupoids. 
92¢:22008 

Lee, Keon Hee Topological covering morphisms of topological groupoids. II. 92¢:22009 

Neuman, Frantisek Ordered groups, commuting matrices and iterations of functions in 
transformations of differential equations. 92m:34016 

Svensson, Jan-Alve Equivariant Eilenberg-Mac Lane spaces of type 1. 92i:55010 


20L17 Connections with category theory 


Items with secondary classifications in 20L17 

Higgins, Philip J. (with Mackenzie, Kirill) Algebraic constructions in the category of Lie 
algebroids. 92e:58241 

Mackenzie, Kirill see Higgins, Philip J., 92e:58241 


20Mxx Semigroups 


Jiirgensen, H. (with Migliorini, F.; Szép, J.) * Semigroups. 92j:20056 
Migliorini, F. see Jiirgensen, H.; et al., 92j:20056 
Szép, J. see Jiirgensen, H.; et al., 92j:20056 


Items with secondary classifications in 20Mxx 
(Rhodes, John) see Monoids and semigroups with applications, 92h:20004 


Items listed otherwise than by author 


Berkeley,CA * Monoids and semigroups with applications. 92h:20004 

Monoids and semigroups with applications * Monoids and semigroups with applications. 
92h:20004 

Workshop: 
Monoids * Monoids and semigroups with applications. 92h:20004 


20M05_ Free semigroups, generators and relations, word problems 


Birget, Jean-Camille see Klarner, David A.; et al., 92g:20093 

Cherubini, Alessandra (with Petrich, Mario) Linear congruences on free monoids. (see 
92m:00061) 

Diasamidze, Ya. 1. One-sided units of a subset of a semigroup of binary relations. (Russian. 
Ukrainian summary) 92a:20063 

Duchamp, Gérard (with Krob, Daniel) Lazard’s factorizations of free partially commuta- 
tive monoids. (see 92g:68004) 

— (with Krob, Daniel) Factorisations dans le monoide partiellement commutatif libre. 
(English summary) [Factorizations in the free partially commutative monoid] 92¢:20102 

Forys, Wit (with Head, Tom) Retracts of free monoids are nowhere dense with respect to 
finite group topologies and p-adic topologies. 92f:20054 

Fountain, John B. Free right type A semigroups. 92f:20055 

Gersten, S.M. (with Short, H. B.) Rational subgroups of biautomatic groups. 92g:20092 

Head, Tom see Forys, Wit, 92f:20054 

Iwamoto, Takashi see Saito, Tatsuhiko; et al., 92g:20095 

Jackson, David A. On the invariance of small overlap hypotheses. 92h:20083 

Jones, Peter R. (with Trotter, Peter G.) The Howson property for free inverse semigroups. 
92¢:20103 

— (with Trotter, Peter G.) The Howson property in varieties of completely reguiar 
semigroups. 92c:20104 

— On free products of bands. 92d:20082 

Justin, J. (with Pirillo, Giuseppe) A finiteness condition for semigroups generated by a 
finite set of elements of finite order. 92f:20056 





357 1992 


— (with Pirillo, Giuseppe) Shirshov’s theorem and w-permutability of semigroups. 
92£:20059 

Kajitori, K. see Saito, Tatsuhiko; et al., 92g:20095 

Klarner, David A. (with Birget, Jean-Camille; Satterfield, Wade) On the undecidability of 
the freeness of integer matrix semigroups. 92g:20093 

Kobayashi, Yuji see Saito, Tatsuhiko; et al., 92g:20095 

Kolesnikova, T. L. On the satisfiability of nontrivial identities in a class of finitely presented 
semigroups. (Russian) 92a:20064 

Kénig, Roman Uber freie partiell kommutative Monoide. [On free partially commutative 
monoids] (see 924:05006) 

Krob, Daniel see Duchamp, Gérard, 92c:20102 and (92g:68004) 

Lajos, S. Fibonacci characterizations and (m, n)-commutativity in semigroup theory. 
92:20058 

de Luca, Aldo (with Varricchio, Stefano) Combinatorial properties of uniformly recurrent 
words and an application to semigroups. 92h:20084 

— (with Varricchio, Stefano) Finiteness and iteration conditions for semigroups. 
92k:20106 

Margolis, Stuart W. (with Meakin, J. C.; Stephen, Joseph B.) Free objects in certain 
varieties of inverse semigroups. 92j:20057 

McCammond, J. The solution to the word problem for the relatively free semigroups 
satisfying T* = T**+ with a > 6. 92£:20060 

Meakin, J.C. see Margolis, Stuart W.; et al., 92j:20057 

Migliorini, F. (with Szép, J.) A new approach to the Burnside problem for semigroups. 
92b:20069 

— (with Szép, J.) Finitely generated igroups and the problem of Burnside. 92d:20083 

— (with Szép, J.) On finitely generated semigroups with permutation property. 92d:20084 

— (with Szép, J.) Semigroups with periodic generators. 92d:20085 

Pastijn, F. J. (with Trotter, Peter G.) Free bands of abelian groups. 92g:20094 

Petrich, Mario see Cherubini, Alessandra, (92m:00061) 

Pin, Jean-Eric Topologies for the free monoid. 92k:20107 

Piochi, Brunetto A finiteness condition for finitely generated semigroups with periodic 
generators. 92f:20057 

Pirillo, Giuseppe On a combinatorial property of Fibonacci infinite word. 92b:20070 

— Sur un théoréme combinatoire de Shirshov. (English summary) [On a combinatorial 
theorem of Shirshov] 92k:20108 

— see also Justin, J., 92f:20056 and 92£:20059 

Saito, Tatsuhiko (with I , Takashi; Kobayashi, Yuji; Kajitori, K.) Strongly 
compatible total orders on free monoids. 92g:20095 

Sapir, M. V. Weak word problem for finite semigroups. 92h:20085 

Satterfield, Wade see Klarner, David A.; et al., 92g:20093 

Short, H. B. see Gersten, S. M., 92g:20092 

Stephen, Joseph B. Contractive presentations: a family of inverse monoids and semigroups 
with finite #-classes. 92j:20058 

— see also Margolis, Stuart W.; et al., 92j:20057 

Szép, J. see Migliorini, F., 92b:20069; 92d:20083; 92d:20084 and 92d:20085 

Todorov, K. On some generalization of the quaternion group and Hadamard matrices. (see 
92m:00061) 

Trotter, Peter G. The word problem for relatively free completely regular semigroups. 
92m:20048 

— see also Jones, Peter R., 92c:20103; 92c:20104 and Pastijn, F. J., 92g:20094 

Varricchio, Stefano see de Luca, Aldo, 92h:20084 and 92k:20106 

Zhang, Luo Xin Conjugacy in special monoids. 92k:20109 

— A short proof of a theorem of Adjan. 92k:20110 








Items with secondary classifications in 20M05 

Ash, C. J. Inevitable graphs: a proof of the type II conjecture and some related decision 
procedures. 92k:20114 

Boyd, John Paul * Social semigroups. 92k:92030 

(Brauer, Wilfried) see Diekert, Volker, 92d:68070 

Burroni, Albert Higher-dimensional word problem. (see 92g:68005) 

Cori, Robert (with Formisano, Maria Rosaria) Partially abelian squarefree words. (French 
summary) 92e:68154 

Cowan, David F. Wreath products and varieties of inverse semigroups. 92j:20059 

— (with Reilly, Norman R.) Characterizations of Schutzenberger graphs. (see 92m:00061) 

Curtis, Frank On formulas for the Frobenius number of a numerical semigroup. 92e:11019 

Davenport, Daniel M. On power commutative semigroups. 92h:20088 

Diekert, Volker * Combinatorics on traces. 92d:68070 

— Word problems over traces which are solvable in linear time. 92f:68096 

— Mobius functions and confluent semi-commutations (extended abstract). (see 92m:00061) 

Erné, Marcel Residuated completions of generalized semitopological semigroups. 
92a:06005 

Formisano, Maria Rosaria see Cori, Robert, 92e:68154 

Fountain, John B. (with Gomes, Gracinda M.S.) The Szendrei expansion of a semigroup. 
92:20077 

Fiilép, Z. A complete description for a monoid of deterministic bottom-up tree transforma- 
tion classes. 92h:68043 

Gomes, Gracinda M.S. see Fountain, John B., 92f:20077 

Ito, Masami! A note on the paper: “Disjunctive languages and compatible orders” [RAIRO 
Inform. Théor. Appl. 23 (1989), no. 2, 149-163; MR 91a:68162] by Ito, H. J. Shih and G. 
Thierrin. (French summary) 92j:68064 

Ivanov, S. V. Relation modules and relation bimodules of groups, semigroups and 
associative algebras. 92c:20059 

— Addendum and errata: “Relation modules and relation bimodules of groups, semigroups 
and associative algebras” [Internat. J. Algebra Comput. 1 (1991), no. 1, 89-114; MR 
92¢:20059]. 

Klein, Abraham A. Free subsemigroups of domains. 92m:16045 

Langer, Helmut Factor-union representation of phenotype systems. 92c:92015 

Li, Lian see Li, Yong Li; et al., 92b:68042 

Li, Yong Li (with Zhang, Luo Xin; Li, Lian) Decidability of regular problems for monoids 
presented by Church-Rosser systems. (Chinese. English summary) 92b:68042 


20M Semigroups 


20M07 


Litovsky, Igor Minimal generators of submonoids of A®. (French summary) 92g:68080 

Long, Dong Yang rs-languages. 92m:68057 

Néraud, Jean On the subsets of rank two in a free monoid: a fast decision algorithm 
(extended abstract). (see 92g:68007) 

Otto, Friedrich (with Wrathall, Celia) Overlaps in free partially commutative monoids. 
92e:68155 

Perrin, Dominique Equations in words. 92f:68083 

Petrich, Mario Free inverse semigroups. 92c:20116 

Pin, Jean-Eric (with Reutenauer, Christophe) A conjecture on the Hall topology for the free 
group. 92g:20035 

Reilly, Norman R. The Rhodes expansion and free objects in varieties of completely regular 
semigroups. 92i:20059 

— see also Cowan, David F., (92m:00061) 

Reutenauer, Christophe see Pin, Jean-Eric, 92g:20035 

Sauer, Norbert W. (with Stone, M. G.) Composing functions to reduce image size. 
92d:05173 

Schiitzenberger, Marcel-Paul Décomposition polynomiale des fonctions rationnelles. 
(English summary) [Polynomial decomposition of rational functions] 92c:20127 

Sezinando, Helena The cardinalities of the Green classes of the free objects in varieties of 
bands. 92m:20051 

Shih, Hui Jan * Free monoids and languages. 92b:68045 

— see also Ito, Masami! , 92j:68064 

Stephen, Joseph B. The word problem for inverse monoids and related questions. 
92i:20065 

Stone, M. G. see Sauer, Norbert W., 92d:05173 

(Thierrin, G.) see Ito, Masami! , 92j:68064 

Weil, Pascal Implicit operations on pseudo-varieties: an introduction. (French summary) 
92m:20052 

Wrathall, Celia see Otto, Friedrich, 92e:68155 

Zhang, Luo Xin see Li, Yong Li; et al., 92b:68042 


20M07 Varieties of semigroups 


Agliand, Paolo The one-block property in varieties of semigroups. 92g:20096 

Almeida, Jorge On iterated semidirect products of finite semilattices. 92f:20061 

— On finite simple semigroups. 92f:20062 

de Azevedo, Assis Implicit operations on DS. 92k:20111 

Bol'shakov, I. A. A global supersemigroup of a rectangular band. (Russian) 92d:20086 

Cowan, David F. Wreath products and varieties of inverse semigroups. 92j:20059 

— Aclass of varieties of inverse semigroups. 92f:20063 

— Some infinite chains in the lattice of varieties of inverse semigroups. 92g:20097 

Demlova, M. (with Koubek, Vaclav) Endomorphism monoids in small varieties of bands. 
92h:20086 

Hall, T. E. Regular semigroups: amalgamation and the lattice of existence varieties. 
92g:20098 

Jones, Peter R. (with Szendrei, Maria B.) Local varieties of completely regular semigroups. 
(see 92h:20004) 

— (with Trotter, Peter G.) Joins of inverse semigroup varieties and band varieties. 
92m:20049 

Kadourek, Jiti On varieties of combinatorial inverse semigroups. I. 92j:20060 

Koubek, Vaclav see Demlova, M., 92h:20086 

Longobardi, Patrizia (with Maj, Mercede; Wiegold, James) Groups with semigroup 
identities: on a conjecture of M. V. Sapir. (Italian. English summary) 92k:20112 

Maj, Mercede see Longobardi, Patrizia; et al., 92k:20112 

Makaridina, V. A. Systems of identities that give varieties of commutative semigroups with 
linearly orderable free semigroups. (Russian) 92c:20105 

Mistlbacher, August An order-theoretical characterization of varieties of bands. 92g:20099 

Pondélitek, Bedtich On permutability in semigroup varieties. (Czech summary) 92m:20050 

Reilly, Norman R. The Rhodes expansion and free objects in varieties of completely regular 
semigroups. 92i:20059 

Salii, V. N. Quasi-Boolean powers of semigroups. (Russian) (see 92m:06001) 

Sapir, M. V. On Cross semigroup varieties and related questions. 92¢:20106 

Sezinando, Helena The cardinalities of the Green classes of the free objects in varieties of 
bands. 92m:2005i 

Szendrei, Maria B. see Jones, Peter R., (92h:20004) 

Tishchenko, A. V. A remark on semigroup varieties of finite index. (Russian) 92h:20087 

Trotter, Peter G. see Jones, Peter R., 92m:20049 

Tutygin, A.G. The structure of semigroups of minimal noncommutative varieties. 
(Russian) 92b:20071 

Vernikov, B. M. Quasichain varieties of semigroups. (Russian) 92b:20072 

Volkov, M. V. Commutative semigroup varieties with distributive subvariety lattices. 
92i:20060 

Weil, Pascal Implicit operations on pseudo-varieties: an introduction. (French summary) 
92m:20052 

Wiegold, James see Longobardi, Patrizia; et al., 92k:20112 

Wismath, Shelly L. Hyperidentities for some varieties of commutative semigroups. 
92d:20087 


Items with secondary classifications in 20M07 


Almeida, Jorge Recent developments in the theory of implicit operations. 92h:20096 

Bergman, George M. Co-rectangular bands and cosheaves in categories of algebras. 
92k:08004 

Blanchard, Paul Monoides de comptage et langages rationnels. (English summary) 
[Counting monoids and rational languages] 92c:68103 

Grillet, P.-A. Commutative semigroup cohomology. 92g:20113 

Jezek, Jaroslav Subdirectly irreducible semilattices with an automorphism. 92i:06007 

Jones, Peter R. (with Trotter, Peter G.) The Howson property in varieties of completely 
regular semigroups. 92c:20104 

Kadourek, Jiti On varieties of combinatorial inverse semigroups. II. 92k:20126 





20M07 


Margolis, Stuart W. (with Meakin, J. C.; Stephen, Joseph B.) Free objects in certain 
varieties of inverse semigroups. 92j:20057 

Mayet, R. Orthosymmetric ortholattices. 92e:06023 

McCammond, J. The solution to the word problem for the relatively free semigroups 
satisfying T¢ = T+? with a > 6. 92f:20060 

Meakin, J.C. see Margolis, Stuart W.; et al., 92j:20057 

Pastijn, F. J. (with Trotter, Peter G.) Free bands of abelian groups. 92g:20094 

Pondélitek, Bedfich On varieties of regular +-semigroups. II. 92m:20055 

Sapir, M. V. Weak word problem for finite semigroups. 92h:20085 

— see also Volkov, M. V., 92e:20046 

Stephen, Joseph B. see Margolis, Stuart W.; et al., 92j:20057 

Trotter, Peter G. see Jones, Peter R., 92c:20104 and Pastijn, F. J., 92g:20094 

Volkov, M. V. (with Sapir, M. V.) HFB property and structure of semigroups. 92¢:20046 


20M10 General structure theory 


Adams, M. E. (with Gould, Matthew; Tschantz, Steven T.) The congruence class of an 
idempotent in a regular semigroup. 92a:20065 

Alimpié, Branka P. Congruences over completely semisimple semigroups. 92a:20066 

Almeida, Jorge (with Pin, Jean-Eric; Weil, Pascal) Semigroups whose idempotents form a 
subsemigroup. 92k:20113 

Ash, C. J. Inevitable graphs: a proof of the type II conjecture and some related decision 
procedures. 92k:20114 

Auinger, Karl Generalised retract semigroups. 92g:20100 

— Semigroups for which all homomorphic images have complemented lattice of congru- 
ences. 92c:20107 

Bao, Jia Xiang Construction of finite semigroups with unit. IV. (Chinese summary) 

Bogdanovié, Stojan (with Ciri¢, Miroslav) Bands of monoids. (Serbo-Croatian summary) 
92k:20115 

Catino, F. (with Miccoli, M. M.) On semidirect product of semigroups. 92¢:20040 

Cirié, Miroslav see Bogdanovi¢, Stojan, 92k:20115 

Davenport, Daniel M. On power commutative semigroups. 92h:20088 

Doyen, Jacques Quelques propriétés des systemes générateurs minimaux des monoides. 
(English summary) [Some properties of minimal generating systems of monoids] 
92b:20073 

El-Qallali, Abdulsalam On the construction of a class of abundant semigroups. 92h:20089 

— Left regular bands of groups of left quotients. 92¢:20108 

Fang, Chao Chen (with Tang, Xi Lin) On J3-semigroups. I. (Chinese) 92i:20061 

Garcia, Josefa I. (with Hildebrant, John) Homomorphisms and congruences. (Spanish) 
(see 92e:00013) 

— The congruence extension property for algebraic semigroups. 92c:20109 

Giraldes, Emilia (with Howie, John M.) Embeddings into finite idempotent-generated 
semigroups: some arithmetical results. 92e:20041 

Golubov, E. A. Rectangular bands of residually separable and residually finite semigroups. 
(Russian) 92b:20074 

Gomes, Gracinda M.S. Left type-A proper dense monoids. (Portuguese. English summary) 
(see 92m:00048) 

Gould, Matthew see Adams, M. E.; et al., 92a:20065 

Gould, Victoria A. R. Left orders in regular 7 -semigroups. I. 92e:20042 

— Completely right pure monoids: the general case. 92f:20064 

Grigorchuk, R. I. Growth and amenability of a semigroup and its group of quotients. 
92k:20116 

Grillet, P.-A. Nilsemigroups on trees. 92h:20090 

Gutan, Marin Two problems on ./-semigroups. 92¢:20110 

— The index of permutability for semigroups with five or six elements. 92g:20101 

Harinath, K.S. An extended class of exponential semigroups. 92f:20065 

Henckell, Karsten (with Rhodes, John) Reduction theorem for the type-II conjecture for 
finite monoids. 92d:20088 

Hildebrant, John see Garcia, Josefa I., (92e:00013) 

Howie, John M. see Giraldes, Emilia, 92e:20041 

Hug, S. A. A note on local inverse semigroups. 92b:20075 

Imaoka, T. (with Okamoto, Yosuke) Congruences on P-regular semigroups. 92b:20076 

Kehayopulu, Niovi On adjoining identity to semigroups, greatest element to ordered sets. 
92h:20091 

Khmel'nitskii, I. L. Nilsemigroups in which all the proper subsemigroups are nilpotent. 
(Russian) 92b:20077 

Koganov, L.M. Remarks on work on Mobius functions and on Frobenius constants of a 
certain class of semigroups. (Russian) 92a:20067 

Kollar, Dusan (with Sulka, Robert) On some closure operators on semigroups. 92i:20062 

Koppitz, J. see Thron, R., 92a:20069 

Lajos, S. A note on right regular orthogroups. 92a:20068 

— On fixed point free permutability of semigroups. 92f:20066 

— Notes on externally commutative semigroups. 92g:20102 

— Some remarks on (3, 3)-commutative semigroups. 92h:20092 

Li, Bao Chen see Zheng, Bao Dong; et al. 

de Luca, Aldo (with Varricchio, Stefano) A finiteness condition for semigroups generalizing 
a theorem of Hotzel. 92f:20067 

— (with Varricchio, Stefano) Permutation and iteration properties of semigroups. (see 
92m:00061) 

MacHale, Desmond Probability in finite semigroups. 

Miccoli, M. M. see Catino, F., 92e:20040 

Nagy, Attila RC-commutative A-semigroups. 92k:20117 

Nasuno, Youichi see Tokizawa, Masamichi; et al., 92b:20082 

Okamoto, Yosuke see Imaoka, T., 92b:20076 

Osondu, Kevin E. Universal groups on semilattices of reversible semigroups. 92g:20103 

— Universal groups on semilattices of reversible cancellative semigroups. 92g:20104 

Ovsyannikov, A. Ya. Lattice isomorphisms of semigroups that are decomposable into 
a rectangular band of nonperiodic semigroups with a cancellation law. (Russian) 
92b:20078 

— see also Shevrin, L. N., 92k:20119 


GROUP THEORY AND GENERALIZATIONS 


Pin, Jean-Eric see Almeida, Jorge; et al., 92k:20113 

Piochi, Brunetto Permutability of normal extensions of a semilattice. 92k:20118 

Pirillo, Giuseppe Combinatorics on words and permutation property. (see 92m:00061) 

Proti¢, Petar V. Some congruences on a 2-regular semigroup. (Serbo-Croatian summary) 
92e:20043 

— The band and the semilattice decompositions of some semigroups. 

Rankin, Stuart A. Congruences on an inverse Bruck-Reilly monoid. I. Nongroup congru- 
ences. 92b:20079 

Renner, Lex E. Finite monoids of Lie type. 92h:20093 

— Orthodox algebraic monoids. (see 92h:20004) 

Renshaw, James Perfect amalgamation bases. 92g:20105 

Rhodes, John see Henckell, Karsten, 92d:20088 

Roiz, E. N. On sums of direct systems of semigroups with one-sided cancellability. 
(Russian) (see 92m:00033) 

Ryan, Jennifer Decomposing finitely generated integral monoids by elimination. 92c:20111 

Sakai, Koukichi On RG-semigroups. 92m:20053 

Sapir, M. V. see Volkov, M. V., 92e:20046 

Saté, Kéjiré Notes on M-semigroups. 92¢:20044 

Sato, Shun see Tokizawa, Masamichi; et al., 92b:20082 

Savina, L. N. Residual finiteness of Archimedean semigroups with respect to predicates. 
(Russian) 92b:20080 

Seitz, K. On invariant transformations of matrix dyads. 92b:20081 

Shevrin, L. N. (with Ovsyannikov, A. Ya.) * Tlonyrpynnsi 4 ux noznoryrpynnosbie 
peuietxu. Uacts |. (Russian) [Semigroups and their subsemigroup lattices. Part 1] 
92k:20119 

Shiryaev, V.M. Finite semigroups with upper semidistributive lattices of subsemigroups. 
(Russian) 92¢:20112 

— Finite filtering semigroups. (Russian) 92h:20094 

Shkodra, Sadri The center of translational hull and the hull of center of semigroup. (Serbo- 
Croatian summary) 92d:20089 

Shoji, Kunitaka Bands and semigroup amalgamation bases. 92d:20090 

Sulka, Robert see Kollar, Dusan, 92i:20062 

Tang, Xi Lin see Fang, Chao Chen; et al., 92i:20061 

Thron, R. (with Koppitz, J.) On a characterization of closure operators by identities on 
semigroups. 92a:20069 

Tokizawa, Masamichi (with Sato, Shun; Nasuno, Youichi) On set-product residue 
semigroups. 92b:20082 

Trotter, Peter G. Congruence extensions in regular semigroups. 92e:20045 

Tschantz, Steven T. see Adams, M. E.; et al., 92a:20065 

Umar, Abdullahi On the semigroups of order-decreasing finite full transformations. 
92m:20054 

Varricchio, Stefano see de Luca, Aldo, 92f:20067 and (92m:00061) 

Volkov, M. V. (with Sapir, M. V.) HFB property and structure of semigroups. 92¢:20046 

Wang, Wan Yi Structure of L-semigroups. (Chinese. English summary) 

Weil, Pascal see Almeida, Jorge; et al., 92k:20113 

Yamada, Miyuki Projectively normal semigroups. 92b:20083 

Yu, Bing Jun An extension of a theorem for regular semigroups to quasiregular semigroups. 
(Chinese) 92b:20084 

Zheng, Bao Dong (with Li, Bao Chen) Isomorphism theorems for right groups. (Chinese. 
English summary) 

Zhu, Pin Yu Finite nil semigroups and their lattices of congruences. (Chinese) 

— On the classification of the finite left-duo P-[A-] semigroups. 92g:20106 


Items with secondary classifications in 20M10 

Almeida Santos, M. H. see Blyth, T. S., 92m:06025 

Blackadar, Bruce Rational C*-algebras and nonstable K-theory. 92e:46135 

Blyth, T. S. (with Almeida Santos, M. H.) Naturally ordered orthodox Dubreil-Jacotin 
semigroups. 92m:06025 

Bosbach, Bruno Representable divisibility semigroups. 92m:20056 

Boyd, John Paul * Social semigroups. 92k:92030 

Bulman-Fleming, Sydney Products of projective S-systems. 92c:20129 

Freiman, Gregory A. (with Schein, Boris M.) Rewritable groups and semigroups and 
structure theory of set addition. (see 92m:00061) 

Gierz, Gerhard (with Romanowska, A. B.) Duality for distributive bisemilattices. 
92i:06025 

Kadourek, Jiti On varieties of combinatorial inverse semigroups. I. 92j:20060 

— On varieties of combinatorial inverse semigroups. II. 92k:20126 

Kepka, Tomas Associativity semihypergroups and cardinal-valued semigroups. 92e:20063 

de Luca, Aldo (with Varricchio, Stefano) Finiteness and iteration conditions for semi- 
groups. 92k:20106 

Nambooripad, K.S.S. * Structure of regular semigroups. II. Cross-connections. 92¢:20115 

Porta, Horacio A. (with Stolarsky, Kenneth B.) Wythoff pairs as semigroup invariants. 
92d:11020 

Romanowska, A. B. see Gierz, Gerhard, 92i1:06025 

Schein, Boris M. see Freiman, Gregory A., (92m:00061) 

Stolarsky, Kenneth B. see Porta, Horacio A., 92d:11020 

Varricchio, Stefano see de Luca, Aldo, 92k:20106 

Yamada, Miyuki On a #-regular semigroup in which the maximal subgroups form a band 
of groups. 92f:20071 

Zhang, Luo Xin Conjugacy in special monoids. 92k:20109 


20M11 Radical theory 


Sheng, De Cheng (with Zhang, Hong Fen) Radicals of semigroups and some properties. 
(Chinese. English summary) 
Zhang, Hong Fen see Sheng, De Cheng; et al. 


Items with secondary classifications in 20M11 


Kelarev, A. V. Radicals and sheaves of associative algebras. (Russian) 92j:16016 
Kollar, Dugan (with Sulka, Robert) On some closure operators on semigroups. 92i:20062 





359 1992 


Sulka, Robert see Kollér, Dusan, 92i:20062 


20M12 Ideal theory 


Fabrici, Imrich Principal two-sided ideals in the direct product of two semigroups. 
92£:20068 

Lajos, S. Notes on quasi-regular semigroups. 92g:20107 

Oehmke, Robert H. On essential right congruences of a semigroup. 92k:20120 

Szasz,G. Some remarks on interior ideals of semigroups. 92¢:20047 


Items with secondary classifications in 20M12 

Breen, Michael A maximal chain of principal ideals in the semigroup of binary relations on 
a finite set. 92f:20072 

Gutan, Marin Two probiems on /: gr 92¢:20110 

Lajos, S. A note on right regular orthogroups. 92a:20068 

— Fibonacci characterizations and (m, n)-commutativity in semigroup theory. 92f:20058 

Lisan, Amha Tume Ultrafilters on a discrete set with two binary operations. 92g:22005 

Saté, Kéjiré6 Notes on M-semigroups. 92e:20044 

Shum, K. P. A characterization for prime ideals in compact semigroups. 92c:22005 

Tishchenko, A. V. A remark on semigroup varieties of finite index. (Russian) 92h:20087 





20M14 Commutative semigroups 


Bogacheva, E. V. Weak duality of commutative semigroups. (Russian) 92a:20070 

Bogomolov, V.S. (with Mustafin, T.G.) Description of commutative monoids over which 
all polygons are w-stable. (Russian) 92g:20108 

Geroldinger, Alfred Systeme von Langenmengen. (English summary) [Systems of sets of 
lengths] 92a:20071 

Halter-Koch, Franz Finiteness theorems for factorizations. 92k:20121 

Jagnow, Ingrid Erweiterung linearer involutorischer Halbgruppen. [Extension of linear 
involutory igroups] 92f:20069 

Mustafin, T. G. see Bogomolov, V. S., 92g:20108 

PuS, Viadimir Combinatorial properties of products of graphs. 92¢:20048 





Items with secondary classifications in 20M14 

Decruyenaere, Fabien (with Jespers, Eric; Wauters, Paul) Semigroup algebras and direct 
sums of domains. 92g:20111 

— (with Jespers, Eric; Wauters, Paul) On commutative principal ideal semigroup rings. 
92i:20070 

Farrell, E. J. An introduction to F-graphs, a graph-theoretic representation of natural 
numbers. 92m:05156 

Fraenkel, Aviezri S. (with Porta, Horacio A.; Stolarsky, Kenneth B.) Some arithmetical 
semigroups. 92h:11004 

Geroldinger, Alfred On the arithmetic of certain not integrally closed Noetherian integral 
domains. 92c:13002 

Goldwurm, Massimiliano Some limit distributions in analysis of algorithms for problems on 
trace languages. 92b:68043 

Jespers, Eric see Decruyenaere, Fabien; et al., 92g:20111 and 92i:20070 

Lajos, S. Fibonacci characterizations and (m, n)-commutativity in semigroup theory. 
92£:20058 

Novikov, B. V. Commutative semigroups with cancellation of dimension 1. (Russian) 
92g:20114 

Piochi, Brunetto The least commutative congruence on some special classes of inverse 
semigroups. 92c:20118 

— A finiteness condition for finitely generated semigroups with periodic generators. 
92£:20057 

Porta, Horacio A. see Fraenkel, Aviezri S.; et al., 92h:11004 

Stolarsky, Kenneth B. see Fraenkel, Aviezri S.; et al., 92h:11004 

Volkov, M. V. Commutative semigroup varieties with distributive subvariety lattices. 
92i:20060 

Wauters, Paul see Decruyenaere, Fabien; et al., 92g:20111 and 92i:20070 


20M15 Mappings of semigroups 


Adu, D. I. On a characterization of CM-homomorphisms. 92g:20109 

Almeida, Jorge Implicit operations on finite f -trivial semigroups and a conjecture of I. 
Simon. 92¢:20113 

Baranskii, V. A. Independence of groups of automorphisms and retracts for semigroups. 
(Russian) 92¢:20114 

Cao, Chong Guang Multiplicative functions of m x n matrix semigroups over arbitrary 
fields. (Chinese. English summary) 92k:20122 

Howie, John M. (with Selfridge, J. L.) A semigroup embedding problem and an arithmeti- 
cal function. 92b:20085 

Kepka, Tomas A note on representable mappings. 92j:20061 

Plotnikova, N. V. Approximation of three-based semigroup distributive algebras. (Russian) 
92e:20049 

Prasad, Damodar (with Singh, K. P.) Matrix representation of semigroups. 

Selfridge, J. L. see Howie, John M., 92b:20085 

Singh, K. P. see Prasad, Damodar 


Items with secondary classifications in 20M15 

Garcia, Josefa I. (with Hildebrant, John) Homomorphisms and congruences. (Spanish) 
(see 92e:00013) 

Hildebrant, John see Garcia, Josefa I., (92e:00013) 

O’Meara, K. C. (with Wood, Graham) The structure of the automorphism group of a 
Croisot-Teissier semigroup. 92¢e:20052 

Osondu, Kevin E. Universal groups on semilattices of reversible cancellative semigroups. 
92g:20104 

Wood, Graham see O’Meara, K. C., 92e:20052 


20M Semigroups 


20M17 Regular semigroups 


Allen, Dennis, Jr. A structure theory for finite regular semigroups. 92k:20123 

Bogdanovi¢, Stojan Nil-extensions of a completely regular semigroup. 92a:20072 

Easdown, David Biordered sets: a tool for constructing semigroups. 92k:20124 

Murciano, M. G. Errata to: “Some properties of generalized Rees matrix semigroups” [Pure 
Math. Appl. Ser. A 1 (1990), no. 2, 191-205; MR 91k:20072]. 

Nambooripad, K.S.S. * Structure of regular semigroups. II. Cross-connections. 92c:20115 

Petrich, Mario Congruence lattices of regular semigroups related to kernels and traces. 
92i:20063 

Pondélitek, Bedéich On varieties of regular +-semigroups. II. 92m:20055 

Reilly, Norman R. An application of the Rhodes expansion to completely regular semi- 
groups. 92b:20086 

Tamura, Takayuki The regular J-class of the power semigroup of a completely 0-simple 
semigroup. 92g:20110 

Yamada, Miyuki On ?-regularity in semigroups, and the structure of #-regular semi- 
groups. 92f:20070 

Yu, Bing Jun A construction of quasi-orthodox semigroups. (Chinese) 92h:20095 


Items with secondary classifications in 20M17 

Adams, M. E. (with Gould, Matthew; Tschantz, Steven T.) The congruence class of an 
idempotent in a regular semigroup. 92a:20065 

— (with Gould, Matthew) Finite semilattices whose monoids of endomorphisms are regular. 
92j:20062 

Blyth, T. S. (with Pinto, G. A.) Idempotents in principally ordered regular semigroups. 
92g:06022 

El-Qallali, Abdulsalam Left regular bands of groups of left quotients. 92c:20108 

Fountain, John B. (with Gomes, Gracinda M.S.) The Szendrei expansion of a semigroup. 
92£:20077 

Gomes, Gracinda M.S. see Fountain, John B., 92f:20077 

Gould, Matthew see Adams, M. E.; et al., 92a:20065 and 92j:20062 

Gould, Victoria A. R. Left orders in regular #-semigroups. I. 92¢:20042 

Hannah, John Regular bisimple rings. 92c:16008 

Imaoka, T. (with Okamoto, Yosuke) Congruences on P-regular semigroups. 92b:20076 

Janowitz, Melvin F. Regularity of residuated mappings. 92b:06018 

Jones, Peter R. (with Trotter, Peter G.) The Howson property in varieties of completely 
regular semigroups. 92c¢:20104 

— (with Szendrei, Maria B.) Local varieties of completely regular semigroups. (see 
92h:20004) 

Kim, Ju Pil (with Park, Young Soo) Injective hulls of S-systems over a Clifford semigroup. 
92):20064 

Lajos, S. Notes on quasi-regular semigroups. 92g:20107 

— Some remarks on (3, 3)-commutative semigroups. 92h:20092 

Okamoto, Yosuke see Imaoka, T., 92b:20076 

Park, Young Soo see Kim, Ju Pil, 92j:20064 

Pastijn, F. J. (with Trotter, Peter G.) Free bands of abelian groups. 92g:20094 

Pinto, G. A. see Blyth, T. S., 92g:06022 

Pondélitek, Bedtich On permutability in semigroup varieties. (Czech summary) 92m:20050 

Shoji, Kunitaka Bands and semigroup amalgamation bases. 92d:20090 

Szendrei, Maria B. see Jones, Peter R., (92h:20004) 

Trotter, Peter G. The word problem for relatively free completely regular semigroups. 
92m:20048 

— Congruence extensions in regular semigroups. 92e:20045 

— see also Jones, Peter R., 92c:20104 and Pastijn, F. J., 92g:20094 

Tschantz, Steven T. see Adams, M. E.; et al., 92a:20065 

Yamada, Miyuki Projectively normal semigroups. 92b:20083 

Yu, Bing Jun An extension of a theorem for regular semigroups to q 
(Chinese) 92b:20084 





20M18 Inverse semigroups 


Derech, V. D. Quasi-orders on some inverse semigroups. (Russian) 92i:20064 

Goberstein, Simon M. A note on shortly connected inverse semigroups. 92b:20087 

Jones, Peter R. (with Margolis, Stuart W.; Meakin, J. C.; Stephen, Joseph B.) Free products 
of inverse semigroups. II. 92k:20125 

Kadourek, Jiti On varieties of combinatorial inverse semigroups. II. 92k:20126 

Margolis, Stuart W. (with Meakin, J.C.) Graph immersions and inverse monoids. (see 
92h:20004) 

— see also Jones, Peter R.; et al., 92k:20125 

Meakin, J.C. see Jones, Peter R.; et al., 92k:20125 and Margolis, Stuart W., (92h:20004) 

Pavel, Liliana Representations of Clifford w-semigroups. 92e:20050 

Petrich, Mario Free inverse semigroups. 92c:20116 

— The congruence lattice of a Reilly semigroup. 92¢:20117 

— The kernel relation for a retract extension of Brandt semigroups. (Italian summary) 
92b:20088 

Piochi, Brunetto The least commutative congruence on some special classes of inverse 
semigroups. 92c:20118 

Schein, Boris M. Infinitesimal elements and transitive representations of inverse semi- 
groups. 92¢:20119 

Stephen, Joseph B. The word problem for inverse monoids and related questions. 
92i:20065 

— see also Jones, Peter R.; et al., 92k:20125 


Items with secondary classifications in 20M18 

Auinger, Karl Boolean congruence lattices of orthodox semigroups. 92c:20120 

Cowan, David F. Wreath products and varieties of inverse semigroups. 92j:20059 

— A class of varieties of inverse semigroups. 92f:20063 

— Some infinite chains in the lattice of varieties of inverse semigroups. 92g:20097 

Goberstein, Simon M. On orthodox semigroups determined by their bundles of correspon- 
dences. 92k:20127 





20M18 


Hug, S. A. A note on local inverse semigroups. 92b:20075 

Iqbal, M. see Mushtaq, Q., 92f:20085 

Jones, Peter R. (with Trotter, Peter G.) The Howson property for free inverse semigroups. 
92c:20103 

— (with Trotter, Peter G.) Joins of inverse semigroup varieties and band varieties. 
92m:20049 

Kadourek, Jiti On varieties of combinatorial inverse semigroups. I. 92j:20060 

Margolis, Stuart W. (with Meakin, J. C.; Stephen, Joseph B.) Free objects in certain 
varieties of inverse semigroups. 92j:20057 

Meakin, J.C. see Margolis, Stuart W.; et al., 92j:20057 

Mushtaq, Q. (with Iqbal, M.) Partial ordering and congruences on LA-semigroups. 
92£:20085 

Osondu, Kevin E. Universal groups on semilattices of reversible cancellative semigroups. 
92g:20104 

Piochi, Brunetto Permutability of normal extensions of a semilattice. 92k:20118 

Plotnikova, N. V. Approximation of three-based semigroup distributive algebras. (Russian) 
92¢:20049 

Schein, Boris M. The minimal degree of noble inverse semigroups. 92a:20075 

Stephen, Joseph B. see Margolis, Stuart W.; et al., 92j:20057 

Trotter, Peter G. see Jones, Peter R., 92c:20103 and 92m:20049 


20M19 Orthodox semigroups 


Auinger, Karl Boolean congruence lattices of orthodox semigroups. 92c:20120 

Goberstein, Simon M. On orthodox semigroups determined by their bundles of correspon- 
dences. 92k:20127 

Yamada, Miyuki On a #-regular semigroup in which the maximal subgroups form a band 
of groups. 92f:20071 


Items with secondary classifications in 20M19 

Almeida Santos, M. H. see Blyth, T. S., 92m:06025 

Blyth, T.S. (with Almeida Santos, M. H.) Naturally ordered orthodox Dubreil-Jacotin 
semigroups. 92m:06025 

Yamada, Miyuki Projectively normal semigroups. 92b:20083 

Yu, Bing Jun A construction of quasi-orthodox semigroups. (Chinese) 92h:20095 


20M20 Semigroups of transformations, etc. [see also 47D03, 
47H20, 54H15] 


Adams, M. E. (with Gould, Matthew) Finite semilattices whose monoids of endomor- 
phisms are regular. 92j:20062 

Almeida, Jorge Recent developments in the theory of implicit operations. 92h:20096 

Baird, B. B. (with Magill, K. D., Jr.) Schiitzenberger groups of some even degree polynomi- 
als in S(R). 92¢:20121 

Bijev, G. (with Todorov, K.) On the representation of abstract semigroups by transforma- 
tion semigroups: computer investigations. 

Breen, Michael A maximal chain of principal ideals in the semigroup of binary relations on 
a finite set. 92f:20072 

Crvenkovié, Sinisa see Kunze, M., 92j:20063 

Dascalescu, Sorin see Nastasescu, Constantin, 92h:20098 

Foster, Andrew Another semigroup of complexity n — 1. 92¢:20122 

Garba, G. U. Idempotents in partial transformation semigroups. 92c¢:20123 

Gould, Matthew see Adams, M. E., 92j:20062 

Huang, Wen Chao Green’s relation for sandwich semigroups of binary relations. (Chinese. 
English summary) 

Kleiman, E. I. The structure of maximal inverse subsemigroups of semigroups of linear 
transformations. (Russian) 92a:20073 

Knauer, Ulrich (with Normak, Peeter) Hereditary endomorphism monoids of projective 
acts. 92f:20073 

Kunze, M. (with Crvenkovi¢, Sinisa) Maximal subsemilattices of the full transformation 
semigroup on a finite set. 92j:20063 

Kuptsov, A.I. (with Lesokhin, M. M.) Nontriviality of the semigroup of bilinear mappings 
of periodic semigroups. (Russian) 92a:20074 

Lender, V. B. Independence of subsemigroups from groups of automorphisms and monoids 
of monomorphisms. (Russian) 92b:20089 

Lesokhin, M. M. see Kuptsov, A. I., 92a:20074 

Levi, Inessa Normal semigroups of one-to-one transformations. 92b:20090 

— (with Seif, Steven) On congruences of %y-normal semigroups. 92h:20097 

— (with Williams, W. Wiley) Normal semigroups of partial one-to-one transformations. II. 
92i:20066 

Lipscomb, Stephen L. The alternating semigroups: generators and congruences. 92i:20067 

Magill, K. D., Jr. Homomorphisms of semigroups of continuous selfmaps. 92e:20051 

— Recent results and open problems on the countability index and the density index of 
S(X). 92b:20091 

— Some trends and directions in the investigation of congruences on S(X). 92c:20124 

— see also Baird, B. B., 92c:20121 

Mukherjea, Arunava Multiplicative semigroups of infinite-dimensional matrices. 
92b:20092 

Nastasescu, Constantin (with Dascalescu, Sorin) The equation x" = a in left cancellative 
monoids. 92h:20098 

Normak, Peeter see Knauer, Ulrich, 92f:20073 

O’Meara, K.C. (with Wood, Graham) The structure of the automorphism group of a 
Croisot-Teissier semigroup. 92e:20052 

Ponizovskii, I.S. On a type of matrix semigroup. 92k:20128 

Seidl, Helmut see Weber, Andreas, 92f:20074 

Seif, Steven see Levi, Inessa, 92h:20097 

Shneperman, L. B. Characterization of linear spaces by their additive semigroup of linear 
relations. (Russian) 92i:20068 

Szalkai, I. On a problem of R. Péschel on locally invertible monoids. 92i:20069 

Todorov, K. see Bijev, G. 


GROUP THEORY AND GENERALIZATIONS 1992 360 


Tolstosheina, S. V. Generating sets of semigroups of closure operators. (Russian) (see 
92m:06001) 

Weber, Andreas (with Seidl, Helmut) On finitely generated monoids of matrices with 
entries in N. (French summary) 92f:20074 

Williams, W. Wiley see Levi, Inessa, 92i:20066 

Wood, Graham see O’Meara, K. C., 92e:20052 


Items with secondary classifications in 20M20 

Adams, M. E. (with Clark, D. M.) Endomorphism monoids in minimal quasiprimal 
varieties. 92c:08005 

Babaev, E. A. Semigroups of open self-maps. (Russian. English and Azerbaijani summaries) 
92¢:54048 

Baker, John Walter (with Pym, J. S.) The semigroup of continuous self-maps of J has 
infinitely many ideals. 92m:54069 

Berger, Marc Aron (with Wang, Yang) Bounded semigroups of matrices. 92m:15012 

Clark, D.M. see Adams, M. E., 92c:08005 

Crvenkovi¢, Sinisa (with Madarasz, Rozdlia Sz.) On semigroup-relation algebras. 
92d:03043 

Glazek, Kazimierz Semigroups of weak endomorphisms of universal algebras. 92c:08006 

Hofmann, Karl Heinrich Lie semigroups in topology and geometry. 92k:22013 

Mach, Andrzej Sur les solutions disjointes de l’équation de translation. [On disjoint 
solutions of the translation equation] 92¢:39031 

Madarasz, Rozalia Sz. see Crvenkovi¢, Sinisa, 92d:03043 

Nambooripad, K.S.S. Semigroup of Fredholm operators. 92b:47059 

Pym, J.S. see Baker, John Walter, $2m:54069 

Sauer, Norbert W. (with Stone, M.G.) Endomorphism monoids of algebras whose 
subalgebra lattices are chains. 92d:08007 

Shostak, A. P. see Shteinbuk, V. B., 92j:54008 

Shrimpton, John Some groups related to the symmetry of a directed graph. 92k:05109 

Shteinbuk, V. B. (with Shostak, A. P.) On semigroups of continuous transformations of 
fuzzily structured sets. 92j:54008 

Stone, M. G. see Sauer, Norbert W., 92d:08007 

Umar, Abdullahi On the semigroups of order-decreasing finite full transformations. 
92m:20054 

Wang, Yang see Berger, Marc Aron, 92m:15012 


20M25 Semigroup rings, multiplicative semigroups of rings 
[see also 16836, 16Y60] 


Decruyenaere, Fabien (with Jespers, Eric; Wauters, Paul) Semigroup algebras and direct 
sums of domains. 92g:20111 

— (with Jespers, Eric; Wauters, Paul) On commutative principal ideal semigroup rings. 
92i:20070 

Jespers, Eric see Decruyenaere, Fabien; et al., 92g:20111 and 92i:20070 

Kelarev, A. V. On semigroup algebras of cancellative commutative semigroups. 92h:20099 

Matsuda, Ryaki Torsion-free abelian semigroup rings. VII. 92f:20075 

Oknitiski, Jan * Semigroup algebras. 92f:20076 

Vasantha, W. B. Semigroup rings which are p-rings. 92c:20125 

Wauters, Paul see Decruyenaere, Fabien; et al., 92g:20111 and 92i:20070 


Items with secondary classifications in 20M25 

Bogdanovié, Stojan sce Cirié, Miroslav, 92g:16018 

Cirié, Miroslav (with Bogdanovié, Stojan) Rings whose multiplicative semigroups are nil- 
extensions of a union of groups. 92g:16018 

Gilmer, Robert On the irreducibility of pure difference binomials. 92f:13009 

Ho, Yue-chan P. The preservation of the semiprime Goldie property by strong semilattice 
sums. 92f:16029 

Jespers, Eric Semigroup graded rings and Jacobson rings. 92c:16038 

Kelarev, A. V. The structure of the Jacobson radical of semigroup algebras of commutative 
semigroups. (Russian) 92c:16016 

Kobayashi, Yuji Complete rewriting systems and homology of monoid algebras. 92d:18003 

Lé Tuén Hoa The Gorenstein property depends upon characteristic for affine semigroup 
rings. 92c:13018 

Maxson, C. J. (with Smith, Kirby C.) Centralizer near-rings acting on SE-groups. 
92¢:16035 

Pérez Esteban, Dionisio The ring of a lattice. (Spanish) (see 92g:00024) 

Smith, Kirby C. see Maxson, C. J., 92e:16035 

Solomon, Louis The Bruhat decomposition, Tits system and Iwahori ring for the monoid of 
matrices over a finite field. 92e:20035 

Swan, Richard G. Gubeladze’s proof of Anderson’s conjecture. 92m:13012 


20M30 Representation of semigroups 


Asibong-Ibe, U. Representation of type A monoids. 92e:20053 

Oknitiski, Jan (with Putcha, Mohan S.) Parabolic subgroups and cuspidal representations 
of finite monoids. 92g:20112 

Putcha, Mohan S. see Oknitiski, Jan, 92g:20112 

Rhodes, John (with Zalcstein, Yechezkel) Elementary representation and character theory 
of finite semigroups and its application. 92k:20129 

Schein, Boris M. The minimal degree of noble inverse semigroups. 92a:20075 

Zalcstein, Yechezkel see Rhodes, John, 92k:20129 


Items with secondary classifications in 20M30 

Crvenkovié, SiniSa (with Madarasz, Rozalia Sz.) On semigroup-relation algebras. 
92d:03043 

Madarasz, Rozdlia Sz. see Crvenkovi¢, Sinisa, 92d:03043 

O'shanskii, G. I. On semigroups related to infinite-dimensional groups. 92g:22040 

Pavel, Liliana Representations of Clifford w-semigroups. 92e:20050 

Petrich, Mario Free inverse semigroups. 92c:20116 





361 1992 


Schein, Boris M. Infinitesimal elements and transitive representations of inverse semi- 
groups. 92c:20119 

Sichler, J. (with Tmnkova, Véra) Functor slices and simultaneous representations. 
92i:18003 

Trnkova, Véra see Sichler, J., 92i:18003 


20M35 Semigroups in automata theory, linguistics, etc. 
[see also 03D05, 68Qxx, 68S05] 

Anselmo, Marcella Automates et codes zigzag. (English summary) [Automata and zigzag 
codes] 92¢:20126 

Hashiguchi, Kosaburo Recognizable closures and submonoids of free partially commutative 
monoids. 92h:20100 

Melzi, Giovanni The definition of semiautomaton. (Italian. English summary) 92a:20076 

Rupert, C. P. On commutative Kleene monoids. 92h:20101 

— Which Kleene semigroups are finite? 92h:20102 

Schiitzenberger, Marcel-Paul Décomposition polynomiale des fonctions rationnelles. 
(English summary) [Polynomial decomposition of rational functions] 92c:20127 


Items with secondary classifications in 20M35 

Almeida, Jorge Implicit operations on finite 7 -trivial semigroups and a conjecture of I. 
Simon. 92c:20113 

— (with Pin, Jean-Eric; Weil, Pascal) Semigroups whose idempotents form a subsemigroup. 
92k:20113 

Babcsanyi, I. (with Nagy, Attila; Wettl, Ferenc) Indistinguishable state pairs in strongly 
connected Moore automata. 92m:68079 

Borel, Jean-Pierre (with Laubie, Francois) Construction de mots de Christoffel. (English 
summary) [Construction of Christoffel words] 92j:11010 

Chazelle, Bernard (with Rosenberg, Burton) The complexity of computing partial sums off- 
line. 92j:68043 

Goraltik, Pavel (with Vanicek, Tomas) Binary patterns in binary words. 92k:68106 

Harju, Tero (with Karhumaki, Juhani) The equivalence problem of multitape finite 
automata. 92¢:68131 

Head, Tom The set of strings mapped into a submonoid by iterates of a morphism. 
92£:68088 

Herbst, Thomas On a subclass of context-free groups. (French summary) 92i:68081 

Hofer, Gerhard Weak equivalence in group automata. 92¢:68132 

Ito, Masami! A note on the paper: “Disjunctive languages and compatible orders” [RAIRO 
Inform. Théor. Appl. 23 (1989), no. 2, 149-163; MR 91a:68162] by Ito, H. J. Shih and G. 
Thierrin. (French summary) 92j:68064 

Karhumiaki, Juhani see Harju, Tero, 92e:68131 

Laubie, Francois see Borel, Jean-Pierre, 92j:11010 

Litovsky, Igor Minimal generators of submonoids of A®. (French summary) 92g:68080 

de Luca, Aldo (with Varricchio, Stefano) A combinatorial theorem on p-power-free words 
and an application to semigroups. (French summary) 92a:68073 

— (with Varricchio, Stefano) Combinatorial properties of uniformly recurrent words and an 
application to semigroups. 92h:20084 

— (with Varricchio, Stefano) Finiteness and iteration conditions for semigroups. 
92k:20106 

Madonia, M. (with Salemi, S.; Sportelli, T.) On z-submonoids and z-codes. (French 
summary) 92i:68112 

Margolis, Stuart W. (with Meakin, J. C.; Stephen, Joseph B.) Free objects in certain 
varieties of inverse semigroups. 92j:20057 

Mathew, Lisa see Siromoney, Rani, 924:94022 

Meakin, J.C. see Margolis, Stuart W.; et al., 92j:20057 

Nagy, Attila see Babcsdnyi, I.; et al., 92m:68079 

Néraud, Jean On the subsets of rank two in a free monoid: a fast decision algorithm 
(extended abstract). (see 92g:68007) 

Otto, Friedrich (with Wrathall, Celia) Overlaps in free partially commutative monoids. 
92e:68155 

Pelletier, Maryse (with Sakarovitch, Jacques) Easy multiplications. II. Extensions of 
rational semigroups. 92¢:68076 

Pilecka-Oborska, Barbara Une modification de la construction de la fonction de sortie. [A 
modification of the construction of the output function] 92k:68082 

Pin, Jean-Eric Relational morphisms, transductions and operations on languages. 
92e:68099 

— Rational and recognizable languages. 92a:68076 

— see also Almeida, Jorge; et al., 92k:20113 

Reutenauer, Christophe (with Schiitzenberger, Marcel-Paul) Rational word functions: 
characterization and minimization. (see 92m:00061) 

Roos, Y. (with Wacrenier, P. A.) Composition of two semicommutations. (see 92g:68008) 

Rosenberg, Burton see Chazelle, Bernard, 92j:68043 

Sakarovitch, Jacques see Pelletier, Maryse, 92¢:68076 

Salemi, S. see Madonia, M.; et al., 92i:68112 

Schiitzenberger, Marcel-Paul see Reutenauer, Christophe, (92m:00061) 

Shih, Hui Jan * Free monoids and languages. 92b:68045 

— see also Ito, Masami' , 92j:68064 

Siromoney, Rani (with Mathew, Lisa) A public key cryptosystem based on Lyndon words. 
92d:94022 

Sportelli, T. see Madonia, M.,; et al., 92i:68112 

Stephen, Joseph B. see Margolis, Stuart W.; et al., 92j:20057 

Straubing, Howard Automata, logic and computational complexity. 92m:68033 

(Thierrin, G.) see Ito, Masami! , 92j:68064 

Vanicek, Tomas see Goraltik, Pavel, 92k:68106 

Varricchio, Stefano see de Luca, Aldo, 92a:68073; 92h:20084 and 92k:20106 

Wacrenier, P. A. see Roos, Y., (92g:68008) 

Weil, Pascal see Almeida, Jorge; et al., 92k:20113 

Wettl, Ferenc see Babcsanyi, I.; et al., 92m:68079 

Wilke, Thomas An Eilenberg theorem for oo-languages. (see 92g:68004) 

Wrathall, Celia see Otto, Friedrich, 92e:68155 


20N Other generalizations of groups 


20N02 


20MS50 Connections of semigroups with homological algebra and 
category theory 

Bulman-Fleming, Sydney (with McDowell, Kenneth) Coherent monoids. 92¢:20128 

— Products of projective S-systems. 92c:20129 

Chistyakova, I. V. Periodicity and finite generation of the functor Hom in the category of 
commutative regular semigroups. (Russian) 92a:20077 

Fountain, John B. (with Gomes, Gracinda M.S.) The Szendrei expansion of a semigroup. 
92:20077 

Gomes, Gracinda M.S. see Fountain, John B., 92f:20077 

Grillet, P.-A. Commutative semigroup cohomology. 92g:20113 

Kim, Ju Pil (with Park, Young Soo) Injective hulls of S-systems over a Clifford semigroup. 
92j:20064 

Lawson, M. V. Semigroups and ordered categories. I. The reduced case. 92h:20103 

McDowell, Kenneth see Bulman-Fleming, Sydney, 92c:20128 

Novikov, B. V. Commutative semigroups with cancellation of dimension 1. (Russian) 
92g:20114 

Park, Young Soo see Kim, Ju Pil, 92j:20064 

Warne, R. J. Orthogroups and generalizations. 92e:20054 


Items with secondary classifications in 20M50 

Gomes, Gracinda M.S. Left type-A proper dense monoids. (Portuguese. English summary) 
(see 92m:00048) 

Gould, Victoria A. R. Completely right pure monoids: the general case. 92f:20064 

Jay, C. Barry Languages for triples, bicategories and braided monoidal categories. (French 
summary) 92¢:18003 

Knauer, Ulrich (with Normak, Peeter) Hereditary endomorphism monoids of projective 
acts. 92f:20073 

Nambooripad, K.S.S. * Structure of regular semigroups. II. Cross-connections. 92c:20115 

Normak, Peeter see Knauer, Ulrich, 92f:20073 

Renshaw, James Perfect amalgamation bases. 92g:20105 

Rhodes, John (with Tilson, Bret) The kernel of monoid morphisms. 92j:18005 

Tilson, Bret see Rhodes, John, 92j:18005 


20M99 None of the above, but in this section 


Bosbach, Bruno Representable divisibility semigroups. 92m:20056 

Dekov, Deko V. The embedding of semigroup amalgams. 92m:20057 

Moszner, Zenon Sur une forme de familles de fonctions commutatives. [On a form of 
families of commutative functions] 92j:20065 

Seth, A. T-group congruences on regular I’-semigroups. 


Items with secondary classifications in 20M99 

Aminpour, A. M. Spaces of functions determined by iterated limits “at infinity” on an oid. 
92j:22005 

Budak, Talin Oids, finite sums and the structure of the Stone-Cech compactification of a 
discrete semigroup. 92b:54051 

Gass, Michael The groups of the semigroup of compact subsets of a topological group. 
92h:22007 

Hilgert, Joachim Infinitesimally generated subsemigroups of motion groups. 92j:22017 

Hindman, Neil The groups in BN. 92m:54048 

— Strongly summable ultrafilters on N and small maximal subgroups of BN. 92a:54025 

Kelarev, A. V. Hereditary radicals and bands of associative rings. 92k:16031 

Letizia, Angiola A-hyperspaces with ACC. (Italian. English summary) 92k:20138 

Luo, Zhu Kai 1-ary semigroups in regular precomplete classes. (Chinese. English summary) 
92j:03019 


20Nxx Other generalizations of groups 


Items with secondary classifications in 20Nxx 


(Vougiouklis, Thomas) see Bibliography: Algebraic hyperstructures and applications, 
(92d:20003) 


Items listed otherwise than by author 
Bibliography: 
Algebraic hyperstructures and applications A bibliography on AHA (algebraic hyperstruc- 
tures and applications). (see 92d:20003) 


20N02 Sets with a single binary operation (groupoids) 


Amma, K. Nirmala Kumari The theory of last residue classes in groupoids. 92f:20078 

BoSnjak, Ivica (with Grulovié, Milan) On a problem from groupoid theory. (Serbo- 
Croatian) 

Bredikhin, D. A. Characterization of some classes of groupoids of binary relations. 
(Russian) (see 92m:00033) 

— Varieties of groupoids associated with involuted restrictive bisemigroups of binary 
relations. 92k:20130 

Dudek, Jézef Medial idempotent groupoids. I. 92d:20091 

Grulovié, Milan see BoSnjak, Ivica 

Hansen, D. J. Pseudo-complemented distributive groupoids. 92c:20130 

Radelecki, Sandor Compatible tolerances on groupoids. 92f:20079 

Roszkowska, Barbara On some varieties of symmetric idempotent entropic groupoids. 
92a:20078 

Stojmenovski, Kiril Homotopy and congruences of generalized quasigroups. (Macedonian 
summary) 92i:20071 


Items with secondary classifications in 20N02 


Al-Dhahir, M. W. (with Benz, Walter; Ghalich, K.) A groupoid of the ternary ring of a 
projective plane. 92h:51002 





20N02 


Benz, Walter see Al-Dhahir, M. W.; et al., 92h:51002 

Choban, M. M. (with Kiriyak, L. L.) Equations in universal algebras and their applications 
to the theory of groupoids. (Russian) 92g:08005 

van Douwen, Eric K. The Cech-Stone compactification of a discrete groupoid. 92g:54026 

Ghalieh, K. see Al-Dhahir, M. W.; et al., 92h:51002 

Kiriyak, L. L. see Choban, M. M., 92g:08005 

Lipkovski, Aleksandar Automorphic sets or left distributive left quasigroups. 92k:20132 

Novetny, Miroslav Ternary structures and groupoids. 92c:08018 

Sabidussi, Gert Gleichungen fiir nichtassoziative Graphenprodukte. (English summary) 
[Equations for nonassociative graph products] 92c:08012 

Seitz, K. Groupoids and Fourier approximations. 92b:42002 

Wehrung, Friedrich Gerbes primitives. (English summary) [Primitive left-distributive 
structures] 92i:08004 

Zelinka, Bohdan Tolerances on poset algebras. 92k:06002 


20N05 Loops, quasigroups [see also 0S5Bxx] 


Basarab, A.S. A class of LK-loops. (Russian) 92g:20115 

Belousov, V. D. Autotopies in inverse loops. (Russian) 92g:20116 

Belyavskaya, G. B. On the concept of a center in a quasigroup. (Russian) 92g:20117 

— (with Lumpov, A. D.) On an equivalence in quasigroups. (Russian) 92i:20072 

Brozikova, Elena On universal quasigroup identities. (Czech summary) 92m:20058 

Chiboka, V.O. Conjugacy closed loops of Moufang type. 92m:20059 

Derienko, I. I. Necessary conditions for the isotopy of finite quasigroups. (Russian) 
92g:20118 

Dudek, V. A. On the number of transitive distributive quasigroups. (Russian) 92i:20073 

Gali¢, Radoslav H-k-seminets. (Serbo-Croatian summary) 92e:20055 

Goodaire, Edgar G. Groups embeddable in alternative loop rings. (see 92h:00022) 

Holgate, Philip Plenary stable quasigroups. 92¢:20056 

Ihringer, Thomas Multiplication groups of quasigroups: elementary combinatorics. 
92k:20131 

Izbash, V. I. Quasigroups with a distributive lattice of subquasigroups. (Russian) 
92¢:20131 

Jezek, Jaroslav (with Kepka, Toma’) Notes on the number of associative triples. (Russian 
and Czech summaries) 92a:20079 

Kepka, Tomas (with Némec, Petr) Trimedial quasigroups and generalized modules. I. 
(Russian and Czech summaries) 92i:20074 

— see also Jezek, Jaroslav, 92a:20079 

Kitoroage, M. D. Some properties of loops with a commutant in the kernel. (Russian) 
92£:20080 

Kozma, Jézsef Loops with and without subloops. 92i:20075 

Leong, Fook (with Teh, Pang Eng) Which F loops are groups? 92i:20076 

Lipkovski, Aleksandar Automorphic sets or left distributive left quasigroups. 92k:20132 

Lumpov, A. D. see Belyavskaya, G. B., 92i:20072 

Lyakh, I. V. Some autostrophies of loops. (Russian) 92g:20119 

Movsisyan, Yu. M. V3(V)-identities of associativity with specialized quantifiers. (Russian. 
Armenian summary) 92k:20133 

Nagy, Péter T. Extension of local loop isomorphisms. 92k:20134 

Némec, Petr see Kepka, Toma, 92i:20074 

Niemenmaa, Markku Problems in loop theory for group theorists. (see 92c:20003) 

Paal, Eugen Derivative Moufang transformations. (see 92g:81003) 

— Birepresentations of derivative Moufang loops. (Russian and Estonian summaries) 

Polonijo, Mirko On a generalization of transitive quasigroups. 92a:20080 

— Parallelogram quasigroups. (Russian summary) 92i:20077 

Purtill, Mark Corrigendum: “On Moufang loops of order the product of three odd primes” 
[J. Algebra 112 (1988), no. 1, 122-128; MR 89e:20120]. 92j:20066 

Shcherbakov, V. A. Linear quasigroups and their groups of automorphisms. (Russian) 
92h:20104 

Shchukin, K. K. Simple medial quasigroups. (Russian) 92d:20092 

Shelekhov, A.M. New closure conditions and some prob‘ems in loop theory. 92b:20093 

Suvorov, N. M. A commutative IP-loop that admits only discrete topologization. (Russian) 

Syrbu, P. N. Quasigroups satisfying the self-orthogonality identity and their spectrum. 
(Russian) 92i:20078 

Teh, Pang Eng see Leong, Fook, 92i:20076 

USan, Janez Bol n-quasigroups. (Russian. English and Serbo-Croatian summaries) 
92d:20093a 

— On Bol n-quasigroups. (Russian. English and Serbo-Croatian summaries) 92d:20093b 

Volenec, Vladimir GS-quasigroups. (Czech summary) 92d:20094 


Items with secondary classifications in 20N05 


Akivis, M. A. Three-webs and closed G-structures. (see 92f:53003) 

Arkowitz, Martin (with Lupton, Gregory) Loop-theoretic properties of H-spaces. 
92b:55009 

Bénéteau, L. The symplectic trilinear mappings: an algorithmic approach of the classifica- 
tion; case of the field GF(3). 92i:51008 

Celakoski, N. see Cupona, G.; et al., 92g:20120 

Cupona, G. (with Samardiiski, A.; Celakoski, N.) Fully commutative vector valued 
groupoids. 92g:20120 

Galié, Radoslav U-k seminets of maximal degree. (Serbo-Croatian summary) 92h:51026 

Galkin, V.M. Left distributive quasigroups and homogeneous spaces. (see 92:53003) 

Glukhova, N. A. To the theory of generalized hyporeductive loops. (see 92:53003) 

Johnstone, Peter T. The “closed subgroup theorem” for localic herds and pregroupoids. 
92¢:22008 

Kepka, Tomas _m-medial n-quasigroups. 92e:20057 

Kozma, Jézsef Behaviour of loops in a canonical coordinate system. 92a:22009 

Lindner, C.C. (with Phelps, K. T.; Rodger, C. A.) The spectrum for 2-perfect 6-cycle 
systems. 92m:05025 

Lupton, Gregory see Arkowitz, Martin, 92b:55009 

Manduchi, Elisabetta Steiner heptagon systems. 92b:05016 

Micale, Biagio On the spectrum of ordered quadruple systems. 92c:05037 


GROUP THEORY AND GENERALIZATIONS 1992 362 


Mikheev, P.O. Fourth-order alternators of a three-web associated with an analytic loop. 
(Russian) 92j:53005 

Mishchenko, S. G. (with Shelekhov, A. M.) Subwebs and subloops. (Russian) 92c:53009 

Moorhouse, G. Eric Bruck nets, codes, and characters of loops. 92i:51012 

Niemenmaa, Markku (with Vesanen, Ari) On Latin square distances. 92c:05035 

Phelps, K.T. see Lindner, C. C.; et al., 92m:05025 

Pickert, Ginter Doppelebenen und Loops. (English summary) [Double planes and loops] 
92g:51003 

Polonijo, Mirko Desargues systems and Ward quasigroups. (Serbo-Croatian summary) 
92e:51003 

Rodger, C. A. see Lindner, C. C.; et al., 92m:05025 

Sabinin, L. V. Smooth hyporeductive loops. (Russian) 92d:22002 

— (with Sbitneva, L. V.) Reductive spaces and left F-quasigroups. (see 92f:53003) 

— Smooth hyporeductive loops. (see 92£:53003) 

Samardiziski, A. see Cupona, G.; et al., 92g:20120 

Sbitneva, L. V. see Sabinin, L. V., (92f:53003) 

Scapellato, Raffaele Sur les groupes engendrés par une classe de p-involutions. [On groups 
generated by a class of p-involutions] 92c:20035 

Shaposhnikov, I.G. Homotopies of finite n-quasigroups. (Russian) 92e:20058 

Shelekhov, A. M. The loop identities and the closed g,,-structures. (see 92f:53003) 

— see also Mishchenko, S. G., 92c:53009 and Webs and quasigroups, 92:53003 

Smith, Jonathan D. H. Finite codes and groupoid words. 92f:94011 

Solarin, A.R.T. A short note on Bol algebra. 92e:17002 

Stojakovi¢é, Zoran Dihedral n-quasigroups. (Serbo-Croatian summary) 92m:20061 

— Some classes of dihedral n-quasigroups. (Serbo-Croatian summary) 92m:20062 

Stojmenovski, Kiril Homotopy and congruences of generalized quasigroups. (Macedonian 
summary) 92i:20071 

Tolstikhina, G. A. The locally symmetric S-structure determined by a Bol web. (see 
92£:53003) 

Ungar, Abraham A. The expanding Minkowski space. 92d:83005 

— see also Urbantke, Helmuth, 924:83006 

Urbantke, Helmuth Comment on: “The expanding Minkowski space” [Resultate Math. 17 
(1990), no. 3-4, 342-354; MR 92d:83005] by A. A. Ungar. 92d:83006 

Vesanen, Ari see Niemenmaa, Markku, 92c:05035 


Items listed otherwise than by author 

Conference: 
Nonlinear Geometric Algebra * Webs and quasigroups. 92f:53003 
Universal Algebra, Quasigroups and Related Systems * Universal algebra, quasigroups 

and related systems. 92h:00019 

Jadwisin * Universal algebra, quasigroups and related systems. 92h:00019 

Moscow * Webs and quasigroups. 92f:53003 

Universal algebra, quasigroups and related systems * Universal algebra, quasigroups and 
related systems. 92h:00019 

Webs and quasigroups * Webs and quasigroups. 92f:53003 


20N15 n-ary systems 


Celakoski, N. see Cupona, G.; et al., 92g:20120 and 92m:20060 

Chronowski, Antoni Decompositions and extensions of homomorphisms of n-groups. 
92i:20079 

Corovei, I. (with Pop, V.) Relations between the homomorphisms of (n + 1)-groups and the 
homomorphisms of their extensions and reduces. 

Cupona, G. (with Samardiiski, A.; Celakoski, N.) Fully commutative vector valued 
groupoids. 92g:20120 

— (with Markovski, S.) Polyadic operations induced by semigroups. (Macedonian 
summary) 92h:20105 

— (with Celakoski, N.) Multidimensional associatives. (Macedonian summary) 92m:20060 

— (with Markovski, S.) Vector valued groupoids induced by varieties of semigroups. 
(Macedonian summary) 92k:20135 

— (with Markovski, S.) Free objects in the class of vector valued groupoids induced by 
semigroups. 92k:20136 

Dimovski, Donéo (with Trentevski, Kostadin) Nonexistence of continuous (4, 3)-groups on 
R. 92g:20122 

— (with llié, Snezana) Free commutative (2m, m)-groups. (Macedonian summary) 
92i:20080 

— (with Janeva, Biljana; [li¢, Snezana) Free (n,m)-groups. 92d:20095 

Dudek, V. A. Weakly m-semi-abelian n-ary groups. (Russian) (see 92m:00022) 

Dudek, Wiestaw A. Medial n-groups and skew elements. 92b:20094 

lli¢é, Snezana see Dimovski, Donéo; et al., 92d:20095 and 92i:20080 

Janeva, Biljana see Dimovski, Donéo; et al., 92d:20095 and Markovski, S., 92g:20121 

Kepka, Tomas m-medial n-quasigroups. 92e:20057 

Markovski, S. (with Janeva, Biljana) Post and Hosszi-Gluskin theorem for vector valued 
groups. 92g:20121 

— see also Cupona, G., 92h:20105; 92k:20135 and 92k:20136 

Michalski, Jacek On minimization theorems for polyadic groups H-derived from groups. 

Pop, V. see Corovei, I. 

Samardiziski, A. see Cupona, G.; et al., 92g:20120 

Shaposhnikov, I.G. Homotopies of finite n-quasigroups. (Russian) 92¢:20058 

Stojakovié, Zoran On cyclic (2, m)-groupoids. (Serbo-Croatian summary) 92a:20081 

— On a class of cyclic vector-valued groupoids. 92a:20082 

— Dihedral n-quasigroups. (Serbo-Croatian summary) 92m:20061 

— Some classes of dihedral n-quasigroups. (Serbo-Croatian summary) 92m:20062 

Trenéevski, Kostadin see Dimovski, Donto, 92g:20122 

Ursu, L. A. n-groups with the invertibility property with several identities. (Russian) 
92g:20123 

USan, Janez Neutral operations on n-groupoids. (Russian. English and Serbo-Croatian 
summaries) 92¢:20132 

— n-lattices. (Russian. English and Serbo-Croatian summaries) 92¢:20059 





363 1992 


— Neutral operations on (, m)-groupoids. (Russian. English and Serbo-Croatian sum- 
maries) 92e:20060 


Items with secondary classifications in 20N15 

Choban, M. M. (with Kiriyak, L. L.) Equations in universal algebras and their applications 
to the theory of groupoids. (Russian) 92g:08005 

Gali¢, Radoslav H-k-seminets. (Serbo-Croatian summary) 92e:20055 

Kiriyak, L. L. see Choban, M. M., 92g:08005 

Syrbu, P. N. Quasigroups satisfying the self-orthogonality identity and their spectrum. 
(Russian) 92i:20078 


20N20 Hypergroups 


Bapat, R. B. (with Sunder, V.S.) On hypergroups of matrices. 92k:20137 

Berardi, Luigia (with Eugeni, Franco; Innamorati, Stefano) Generalized designs, linear 
spaces, hypergroupoids and algebraic cryptography. 92m:20063 

Comer, Stephen D. Some problems on hypergroups. 92f:20081 

Corsini, Piergiulio Themes and problems in hypergroup theory. 92e:20061 

De Salvo, Mario Feebly canonical hypergroups. 92g:20124 

— Similitude and isomorphism in Ky hypergroups. 92f:20082 

Eugeni, Franco see Berardi, Luigia; et al., 92m:20063 

Freni, Domenico On A-hypergroups. (Italian. English summary) 92g:20125 

— Une note sur le coeur d’un hypergroupe et sur la cloture transitive 8* de 8. (English 
summary) [A note on the core of a hypergroup and the transitive closure £* of ] 
92h:20106 

Gutan, Cornelia Simplifiable semihypergroups. 92f:20083 

Gutan, Marin On the hypergroups which can be defined over families of subsets of a 
hypergroup. 92¢e:20062 

— Hypergroup structures over families of subsets of a hypergroup. 92h:20107 

— A Koskas’s problem about the simplifiable semihypergroups. 92j:20067 

Innamorati, Stefano see Berardi, Luigia; et al., 92m:20063 

Jantosciak, James Reduced hypergroups. (see 92d:20003) 

— Homomorphisms, equivalences and reductions in hypergroups. 92g:20126 

Kepka, Tomas Associativity semihypergroups and cardinal-valued semigroups. 92e:20063 

Letizia, Angiola A-hyperspaces with ACC. (Italian. English summary) 92k:20138 

Massouros, Ch. G. Quasicanonical hypergroups. 92h:20108 

— On the semi-sub-hypergroups of a hypergroup. 92c:20133 

— see also Mittas, Jean, 92g:20128 

Migliorato, Renato Finite hypergroupoids and combinatoric spaces. 92g:20127 

Mittas, Jean (with Massouros, Ch. G.) Hypergroups defined from a linear space. 
92g:20128 

— Certaines remarques sur les hypergroupes canoniques hypervaluables et fortement 
canoniques. [Some remarks on hypervalued strongly canonical hypergroups] 92g:20129 

Sunder, V.S. see Bapat, R. B., 92k:20137 

Sureau, Yves Une présentation de la théorie des hypergroupes. [A presentation of hyper- 
group theory] 92c:20134 

Vougiouklis, Thomas On some representations of hypergroups. 92c:20135 

— On representations of algebraic multivalued structures. 92d:20096 

— The fundamental relation in hyperrings. The general hyperfield. 92m:20064 


Items with secondary classifications in 20N20 

Marchi, Mario On a new class of geometrical hyperstructures. 92b:20097 

Massouros, G. G. (with Mittas, Jean) L and hypercompositional 
structures. 92g:68081 

Mittas, Jean Sur les structures hyp iti iI 
positional structures] 92e:08002 

— see also Massouros, G. G., 92g:68081 

Scorzoni, Roberto An algebraic characterization of trees and cycles. 92h:05115 

(Vougiouklis, Thomas) see Algebraic hyperstructures and applications, 92d:20003 


Items listed otherwise than by author 


Algebraic hyperstructures and applications * Algebraic hyperstructures and applications. 
92d:20003 








(English summary) [On hypercom- 


Congress: 
Algebraic Hyperstructures and Applications * Algebraic hyperstructures and applications. 
924:20003 
Xanthi * Algebraic hyperstructures and applications. 92d:20003 


20N25 Fuzzy groups [see also 04A72] 


Abou-Zaid, Salah On generalized characteristic fuzzy subgroups of a finite group. 92j:20068 

— On fuzzy subnormal and pronormal subgroups of a finite group. 

Asaad, Mohamed Groups and fuzzy subgroups. 92a:20083 

Gu, Wen Xiang (with Lu, Tu) The isotonic fuzzy algebraic systems. 

Kumar, I. J. (with Saxena, P. K.; Yadav, Pratibha) Fuzzy normal subgroups and fuzzy 
quotients. 92m:20065 

Kumar, Rajesh Homomorphisms and fuzzy (fuzzy normal) subgroups. 92g:20130 

Kuroki, Nobuaki Fuzzy congruences and fuzzy normal subgroups. 92h:20109 

Li, Tao Sheng Fuzzy subgroups of cyclic groups. (Chinese. English summary) 

La, Tu see Gu, Wen Xiang 

Makamba, B. B. (with Murali, V.) Normality and congruence in fuzzy subgroups. 
92g:20131 

Malik, D.S. (with Mordeson, John N.) Fuzzy subgroups of abelian groups. 92c:20136 

— (with Mordeson, John N.) A note on fuzzy relations and fuzzy groups. 92b:20095 

Mishref, M. A. A. see Sidky, F. 1., 92b:20096and 92f:20084 

Mordeson, John N. see Malik, D. S., 92b:20095 and 92c:20136 

Murali, V. see Makamba, B. B., 92g:20131 

Peng, Bo Xin Isomorphism of fuzzy groups and some computational problems. (Chinese. 
English summary) 

Saxena, P. K. see Kumar, I. J.; et al., 92m:20065 


TOPOLOGICAL GROUPS, LIE GROUPS 


22-02 


Sidky, F.I. (with Mishref, M. A. A.) S-fuzzy subgroups. 

— (with Mishref, M. A. A.) Fuzzy cosets and cyclic and abelian fuzzy subgroups. 92f:20084 

— (with Mishref, M. A. A.) Fully invariant, characteristic, and S-fuzzy subgroups. 
92b:20096 

Yadav, Pratibha see Kumar, I. J.; et al., 92m:20065 


Items with secondary classifications in 20N25 


Malik, D.S. (with Mordeson, John N.) Fuzzy relations on rings and groups. 92g:16014 
Mordeson, John N. see Malik, D. S., 92g:16014 


20N99 None of the above, but in this section 


Iqbal, M. see Mushtaq, Q., 92f:20085 

Lenzi, Domenico A complete description of torsion (2, p)-semifields. (Italian summary) 
92a:20084 

Marchi, Mario On a new class of geometrical hyperstructures. 92b:20097 

Mushtaq, Q. (with Iqbal, M.) Partial ordering and congruences on LA-semigroups. 
92f:20085 

Sedla¥, Viadimir Construction of a solvable ternary ring of type IV,,). (Czech. English 
summary) 92f:20086 

USan, Janez Two classes of algebras that are close to groups. (Russian. Serbo-Croatian 
summary) 92f:20087 


Items with secondary classifications in 20N99 

Barlotti, Adriano (with Strambach, Karl) Multigroups and the foundations of geometry. 
92j:51002 

Strambach, Karl see Barlotti, Adriano, 92j:51002 

Sunder, V.S. II, factors, their bimodules and hypergroups. 92f:46076 

Vougiouklis, Thomas On representations of algebraic multivalued structures. 92d:20096 


20P05 Probabilistic methods in group theory 


Items with secondary classifications in 20P05 

Conder, Marston Random walks in large finite groups. 92h:20030 

Sherman, Gary J. (with Tucker, Thomas J.; Walker, Mark E.) How Hamiltonian can a finite 
group be? 92f:20026 

Tucker, Thomas J. see Sherman, Gary J.; et al., 92f:20026 

Walker, Mark E. see Sherman, Gary J.; et al., 92f:20026 


22-XX Topological groups, Lie groups {For 
transformation groups, see 54H15, 57Sxx, 
58-XX. For abstract harmonic analysis, 
see 43-XX.} 


22-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Fegan, Howard D. * Introduction to compact Lie groups. 92h:22001 

Hein, Wolfgang * Einfiihrung in die Struktur- und Darstellungstheorie der klassischen 
Gruppen. (German) [Introduction to the structure and representation theory of the 
classical groups] 92g:22001 

Ise, Mikio (with Takeuchi, Masaru) * Lie groups. I, II. 92a:22001 

(Nomizu, Katsumi) see Ise, Mikio, 92a:22001 

Takeuchi, Masaru see Ise, Mikio, 92a:22001 

Wallach, Nolan R. Some applications of group representations. 92a:22002 


Items with secondary classifications in 22-01 

Atiyah, Michael Francis The icosahedron. 92f:52001 

Corwin, Lawrence J. (with Greenleaf, Frederick P.) * Representations of nilpotent Lie 
groups and their applications. Part I. 92b:22007 

Greenleaf, Frederick P. see Corwin, Lawrence J., 92b:22007 

Hofmann, Karl Heinrich Einige Ideen Sophus Lies—hundert Jahre danach. Ein Kolloqui- 
umsvortrag. [Some ideas of Sophus Lie—a hundred years later. A colloquium lecture} 
92b:01032 

Knapp, A. W. * Representations of real reductive groups. 92h:22032 

(Lie, Sophus) see Hofmann, Karl Heinrich, 92b:01032 

Onishchik, A. L. see Vinberg, E. B., 92i:22014 

Smirnov, Vladimir Ivanovich * Lehrgang der hGheren Mathematik. Teil III/1. (German) 
[Course in higher mathematics. Part III/1] 92i:00004 

Vinberg, E. B. (with Onishchik, A. L.) * Cemunap no rpynnam Jin u anre6panyeckum 
rpynnam. (Russian) [A seminar on Lie groups and algebraic groups] 92i:22014 


22-02 Research exposition (monographs, survey articles) 


Items with secondary classifications in 22-02 

Dzinotyiweyi, Heneri A.M. Foundation semigroups and their generalization. 92a:22005 

Hofmann, Karl Heinrich Lie groups and semigroups. 92b:22002 

Margulis, G. A. * Discrete subgroups of semisimple Lie groups. 92h:22021 

Mimura, Mamoru (with Toda, Hirosi) * Topology of Lie groups. I, II. 92h:55001 

Pressley, Andrew N. (with Segal, Graeme B.) * Ipynnpi netens. (Russian) [Loop groups] 
92a:22024 





22-02 


(Radul, A.O.) see Pressley, Andrew N., 92a:22024 

Samoilenko, Yu. S. * Spectral theory of families of selfadjoint operators. 92j:47038 
Segal, Graeme B. see Pressley, Andrew N., 92a:22024 

(Tisjachnij, E. V.) see Samoilenko, Yu. S., 92j:47038 

Toda, Hirosi see Mimura, Mamoru, 92h:55001 

(Wilson, George) see Pressley, Andrew N., 92a:22024 

(Zelevinskii, A. V.) see Pressley, Andrew N., 92a:22024 


22-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 22-03 

Borel, Armand The work of Chevalley in Lie groups and algebraic groups. 92j:01042 

(Chevalley, Claude) see Borel, Armand, 92j:01042 

(Frobenius, Georg Ferdinand) see Williams, Floyd L., 92g:01059 

Hawkins, Thomas Jacobi and the birth of Lie’s theory of groups. 92j:01035 

Hofmann, Karl Heinrich Einige Ideen Sophus Lies—hundert Jahre danach. Ein Kolloqui- 
umsvortrag. [Some ideas of Sophus Lie—a hundred years later. A colloquium lecture] 
92b:01032 

— Zur Geschichte des Halbgruppenbegriffs. (English and French summaries) [On the history 
of the concept of semigroup] 92m:01037 

(Jacobi, Carl Gustav Jacob) see Hawkins, Thomas, 92j:01035 

(Lie, Sophus) see Hofmann, Kari Heinrich, 92b:01032 and Hawkins, Thomas, 92j:01035 

Pukanszky, L. On the characters of connected Lie groups. 92¢:22027 

Williams, Floyd L. History and variation on the theme of the Frobenius reciprocity 
theorem. 92g:01059 


22-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Gruber, Bruno see Nomura, Toshio; et al., 92e:22001 

Nomura, Toshio (with Ramek, Michael; Gruber, Bruno) Programs for symmetry adaption 
coefficients for semisimple symmetry chains: the completely symmetric representations. 
92e:22001 

Ramek, Michael see Nomura, Toshio; et al., 92e:22001 

Wybourne, Brian G. Calculating properties of Lie groups. 92c:22001 


22-06 Proceedings, conferences, collections, etc. 


Items listed otherwise than by author 


Harmonic analysis on homogeneous spaces and representation theory of groups * Toshitsu 
kakan ue no chowa kaiseki to gun no hydgenron. (Japanese) [Harmonic analysis on 
homogeneous spaces and representation theory of groups] 92i:22001 

Symposium: 

Harmonic Analysis on Homogeneous Spaces and Representation Theory of Groups 
* Toshitsu kikan ue no chowa kaiseki to gun no hydgenron. (Japanese) [Harmonic 
analysis on homogeneous spaces and representation theory of groups] 92i:22001 


Items with secondary classifications in 22-06 
(Cohen, Arjeh M.) see Computational aspects of Lie group representations and related topics, 
92b:00037 
(Gelfand, I. M.) see Geometry and physics, 92k:00025 
(Gindikin, S.G.) see Geometry and physics, 92k:00025 
(Saint-Aubin, Yvan) see Colloquium: Group Theoretical Methods in Physics, 92f:81008 
(Singer, I. M.) see Geometry and physics, 92k:00025 
(Sosinskii, A. B.) see Representation theory and dynamical systems, 92m:00030 
(Vershik, A.M.) see Representation theory and dynamical systems, 92m:00030 
(Vinet, Luc) see Colloquium: Group Theoretical Methods in Physics, 92f:81008 
Items listed otherwise than by author 
Amsterdam * Computational aspects of Lie group representations and related topics. 
92b:00037 
Colloquium: 
Group Theoretical Methods in Physics * XVIIth International Colloquium on Group 
Theoretical Methods in Physics. 92f:81008 
Computational aspects of Lie group representations and related topics * Computational 
aspects of Lie group representations and related topics. 92b:00037 
Geometry and physics * Geometry and physics. 92k:00025 
Representation theory and dynamical systems * Representation theory and dynamical 
systems. 92m:00030 
Representation theory of groups and special functions * Gun no hydgenron to tokushu 
kanst. (Japanese) [Representation theory of groups and special functions] 92d:20005 
Sainte-Adéle, PQ. * XVIIth International Colloquium on Group Theoretical Methods in 
Physics. 92f:81008 
Seminar: 
Computational Algebra * Computational aspects of Lie group representations and related 
topics. 92b:00037 
Symposium: 
Representation Theory of Groups and Special Functions * Gun no hydgenron to tokushu 
kans0. (Japanese) [Representation theory of groups and special functions] 92d:20005 


22Axx Topological and differentiable algebraic systems 
{For topological rings and fields, see 12Jxx, 
13Jxx, 16W80; for dual spaces of operator 
algebras and topological groups, see 47D35.} 


TOPOLOGICAL GROUPS, LIE GROUPS 


22A05 Structure of general topological groups 


Arnautov, V.I. (with Zelenyuk, E.G.) On the problem of the completeness of maximal 
topological groups. (Russian. Ukrainian summary) 92e:22002 

Comfort, W. W. (with Remus, Dieter) Long chains of Hausdorff topological group 
topologies. 92f:22001 

Das, N. R. (with Das, Purabi) Mixed topological groups. 92h:22002 

Das, Purabi see Das, N. R., 92h:22002 

Dikranjan, Dikran N. (with Shakhmatov, D. B.) Critical power of minimality of topological 
groups close to being compact. 92i:22002 

Fay, Temple H. (with Walls, Gary L.) Categorically compact locally nilpotent groups. 
924:22001 

— (with Walls, Gary L.) A corrigendum: “Categorically compact locally nilpotent groups” 
[Comm. Algebra 18 (1990), no. 10, 3423-3435; MR 92d:22001]. 

Leischner, Martin An incomplete quotient of a complete topological group. 92e:22003 

Ma, Ji Liang see Yu, Chun Hai, 92k:22001 

Mukhin, Yu. N. see Nefed’eva, N. D., 92£:22002 

Nefed’eva, N. D. (with Mukhin, Yu. N.) Characteristic series with sections of rank | in 
nilpotent topological groups. (Russian) 92f:22002 

Piskunov, A.G. The weight of compactly generated groups. (Russian) 92g:22002 

Porst, Hans-E. How topological are topological groups? 92¢:22004 

Rangan, G. A note on radical and radical free topological groups. 92h:22003 

Remus, Dieter Minimal and precompact group topologies on free groups. 92h:22004 

— (with Stoyanov, Luchezar N.) Complete minimal and totally minimal groups. 92j:22001 

— see also Comfort, W. W., 92f:22001 

Shakhmatov, D. B. see Dikranjan, Dikran N., 92i:22002 

Soundararajan, T. Classes of topological groups suggested by Galois theory. 92¢:22002 

Stoyanov, Luchezar N. see Remus, Dieter, 92j:22001 

Ursul, M. 1. Embedding of precompact groups into pseudocompact groups. (Russian. 
English and Moldavian summaries) 92g:22003 

Walls, Gary L. see Fay, Temple H., 92d:22001 

Yu, Chun Hai (with Ma, Ji Liang) L-fuzzy topological groups. 92k:22001 

Zelenyuk, E.G. see Arnautov, V. i., 92e:22002 


Items with secondary classifications in 22A05 

Atkin, C. J. Boundedness in uniform spaces, topological groups, and homogeneous spaces. 
92j:22006 

Comfort, W. W. (with van Mill, Jan) Some topological groups with, and some without, 
proper dense subgroups. 92h:54050 

Dikranjan, Dikran N. (with Shakhmatov, D. B.) Pseudocompact topologizations of groups. 
(Serbo-Croatian summary) 92k:54043 

— (with Shakhmatov, D. B.) Compact-like totally dense subgroups of compact groups. 
92g:22009 

Gahler, Werner Generalized convergence groups. 92k:54002 

Katz, Elyahu (with Morris, Sidney A.; Nickolas, Peter) Free abelian topological groups and 
adjunction spaces. 92a:54032 

Kimura, Takashi Dimensions of topological groups containing the bouquet of two circles. 
92g:54050 

van Mill, Jan see Comfort, W. W., 92h:54050 

Morris, Sidney A. see Katz, Elyahu; et al., 92a:54032 

Nickolas, Peter see Katz, Elyahu; et al., 92a:54032 

Porst, Hans-E. On the existence and structure of free topological groups. 92m:18004 

Protasov, I. V. Functionally balanced groups. (Russian) 92m:54068 

Roelcke, Walter Incomplete infima of complete uniformities related to topological groups 
and topological vector spaces. 92¢:54033 

Shakhmatov, D. B. Zerodimensionality of free topological groups and topological groups 
with noncoinciding dimensions. (Russian summary) 924:54052 

— see also Dikranjan, Dikran N., 92g:22009 and 92k:54043 

Sipacheva, O. V. Description of the topology of free topological groups without using 
universal uniform structures. (Russian) 92e:54042 

Stevens, T. Christine Weakened Lie groups and groups of homeomorphisms. 92¢:22019 

Tkachenko, M. G. Factorization theorems for topological groups and their applications. 
92e:54045 


22A10 Analysis on general topological groups 


Antosik, Piotr (with Lu, Li Rong; Jun, Yang Dian; Chun, Bu Zhen; Pap, Endre; Swartz, 
Charles) On uniform convergence of the inner product of sequences. 92b:22001 

Chun, Bu Zhen see Antosik, Piotr; et al., 92b:22001 

Gali, I. M. (with Laila, M. M.) Stone’s theorem for a direct product of commutative 
topological groups. 92a:22003 

Jun, Yang Dian see Antosik, Piotr; et al., 92b:22001 

Laila, M. M. see Gali, I. M., 92a:22003 

Lu, Li Rong see Antosik, Piotr; et al., 92b:22001 

Pap, Endre see Antosik, Piotr; et al., 92b:22001 

Swartz, Charles see Antosik, Piotr; et al., 92b:22001 


Items with secondary classifications in 22A10 


Mach, Andrzej Invariant decompositions of a final interval of a linearly ordered and abelian 
group. 92g:06027 


22A15 Structure of topological semigroups 


Baker, John Walter (with Hindman, Neil; Pym, J. S.) x-topologies for right topological 
semigroups. 92h:22005 

Bouziad, A. Semigroupes semitopologiques compacts admettant un sous-groupe dense. 
[Compact semitopological semigroups with a dense subgroup] 92h:22006 

Budak, Talin Extremal topologies on a igroup. 92f:22003 

Chae, Younki The structure of topological regular semigroups. 92i:22003 

Eggert, Anselm A short course on the Lie theory of semigroups. II. Lie semialgebras. 
92j:22003 








365 1992 


Forouzanfar, A. M. (with Pym, J. S.) Compact right uppersemicontinuous semigroups of 
closed sets. 92g:22004 


Gass, Michael The groups of the semigroup of compact subsets of a topological group. 
92h:22007 


Hindman, Neil (with Pym, J. S.) Closures of singly generated subsemigroups of 2S. 
92a:22004 


— see also Baker, John Walter; et al., 92h:22005 

Hofmann, Karl Heinrich Lie groups and semigroups. 92b:22002 

— A short course on the Lie theory of semigroups. I. 92j:22002 

Holmes, John P. Idempotents in differentiable semigroups. 92m:22001 

Kripalini, K.S. On the lattices of semigroup compactifications. 92c:22003 

Lesokhin, M. M. (with Rasulov, N.S.) Two results on real continuous bicharacters. 
92¢:22004 

Lisan, Amha Tume Ultrafilters on a discrete set with two binary operations. 92g:22005 

Neeb, Karl-Hermann A short course on the Lie theory of semigroups. III. Globality of 
invariant wedges. 92j:22004 

Pym, J.S. see Hindman, Neil, 92a:22004; Forouzanfar, A. M., 92g:22004 and Baker, John 
Walter; et al., 92h:22005 

Rasulov, N.S. see Lesokhin, M. M., 92c:22004 

Salehi, Ebrahim Compactification of a semigroup—a topological dynamics approach. 
92g:22006 

Shum, K. P. A characterization for prime ideals in compact semigroups. 92c:22005 

Sipos, Jan Primitive idempotents in convergence semigroups. (Russian summary) 
92f:22004 

— Idempotents of compact monothetic semiclosure semigroups. (Russian summary) 
92b:22003 

Troallic, Jean-Pierre Semigroupes affines semitopologiques compacts. [Compact semitopo- 
logical affine semigroups] 92¢:22005 

Umoh, Hanson a-inflatable semigroups. 92k:22002 

Weiss, Wolfgang Local Lie semigroups and open embeddings into global topological 
semigroups. 92c:22006 


Items with secondary classifications in 22A15 

Balcar, Bohuslav (with KalaSek, Pavel) Nonexistence of multiple recurrent point in the 
ultrafilter dynamical system. (Russian summary) 92c:54049 

Berglund, John F. (with Hindman, Neil) Sums of idempotents in BN. 92k:54027 

Bouziad, A. Continuité d’une action d’un semilattis compact. [Continuity of an action of a 
compact semilattice] 92m:06013 

Chon, I. (with Lawson, Jimmie D.) Attainable sets and one-parameter semigroups of sets. 
92£:93010 

Erné, Marcel Residuated completions of generalized semitopological semigroups. 
92a:06005 

Forys, Wit (with Head, Tom) Retracts of free monoids are nowhere dense with respect to 
finite group topologies and p-adic topologies. 92f:20054 

Furstenberg, Hillel (with Katznelson, Yitzhak) Idempotents in compact semigroups and 
Ramsey theory. 924:05170 

Head, Tom see Forys, Wit, 92f:20054 

Hilgert, Joachim Infinitesimally generated subsemigroups of motion groups. 92j:22017 

Hindman, Neil see Berglund, John F., 92k:54027 

Hofmann, Karl Heinrich Lie semigroups in topology and geometry. 92k:22013 

Kaldsek, Pavel see Balcar, Bohuslav, 92c:54049 

Katznelson, Yitzhak see Furstenberg, Hillel, 924:05170 

Lawson, Jimmie D. see Chon, I., 92f:93010 

Lenzi, Domenico On a particular connection between a closure system and an external 
operation defined on the same set. 92e:08001 

Neeb, Karl-Hermann Semigroups in the universal covering group of SL(2). 92c:22018 

— The duality between subsemigroups of Lie groups and monotone functions. 92e:22015 

Pandian, R. D. Semigroup compactifications by generalized distal functions and a fixed 
point theorem. 92j:54057 

Ruppert, W. A. F. Endomorphic actions of BN on the torus group. 92g:54055 

Venturini, Sergio Semigroups and holomorphic maps. 92k:32045 

Weiss, Wolfgang Sophus Lie’s fundamental theorem—categorical aspects. 92k:22011 


22A20 Analysis on topological semigroups 

Aminpour, A. M. Spaces of functions determined by iterated limits “at infinity” on an oid. 
92j:22005 

Dzinotyiweyi, Heneri A.M. Foundation igroups and their generalization. 92a:22005 

— Uniformly continuous and weakly almost periodic functions on some topological 
semigroups. 92e:22006 

Junghenn, Hugo D. (with Sedaghat, Hassan) On extending continuous functions on dense 
subsemigroups. 92a:22006 

Neeb, Karl-Hermann Objects dual to subsemigroups of groups. 92k:22003 

Sedaghat, Hassan see Junghenn, Hugo D., 92a:22006 

Items with secondary classifications in 22A20 

Atanasiu, Dragu Bi-fonctions moment. [Moment bifunctions] 92m:43006 

Baker, John Walter Measure algebras on semigroups. 92a:43002 

Berglund, John F. (with Hindman, Neil) Sums of idempotents in BN. 92k:54027 

Hansel, Georges (with Troallic, Jean-Pierre) Equicontinuity, uniform structures and 
countability in locally compact groups. 92g:22010 

Hindman, Neil (with Pym, J. S.) Closures of singly generated subsemigroups of 8S. 
92a:22004 

— see also Berglund, John F., 92k:54027 

Lesokhin, M. M. (with Rasulov, N.S.) Two results on real continuous bicharacters. 
92¢:22004 

Nakamura, Yoshihiro (with Sakakibara, Nobuhisa) Perfectness of certain subsemigroups of 
a perfect semigroup. 92b:43008 

Pandian, R. D. Semigroup compactifications by generalized distal functions and a fixed 
point theorem. 92j:54057 





22A Topological and differentiable algebraic systems 


Pym, J.S. see Hindman, Neil, 92a:22004 

Rasulov, N.S. see Lesokhin, M. M., 92c:22004 

Sakai, Koukichi Some remarks on extremely amenable algebras. II. 92c:43002 
Sakakibara, Nobuhisa see Nakamura, Yoshihiro, 92b:43008 

Troallic, Jean-Pierre see Hansel, Georges, 92g:22010 


22A22 Topological groupoids (including differentiable and Lie 
groupoids) 


Kozma, Jézsef On the differentiability of loopmultiplication in canonical coordinate-system. 
92h:22008 


Items with secondary classifications in 22A22 


Kubarski, Jan Lie algebroid of a principal fibre bundle. 92h:58206 

Lisiecki, Krzysztof Foliated groupoids. 92a:58154 

Moerdijk, Ieke The classifying topos of a continuous groupoid. II. (French summary) 
92c:18003 


22A25 Representations of general topological groups and 
semigroups 


Atkin, C. J. Boundedness in uniform spaces, topological groups, and homogeneous spaces. 
92j:22006 


Items with secondary classifications in 22A25 

Junghenn, Hugo D. (with Sedaghat, Hassan) On extending continuous functions on dense 
subsemigroups. 92a:22006 

Pavel, Liliana Representations of Clifford w-semigroups. 92¢:20050 

Sedaghat, Hassan see Junghenn, Hugo D., 92a:22006 


22A26 Topological semilattices, lattices and applications 
[see also 06B30, 06B35, 06F30] 


Das Gupta, A. On compatible topologies of a group and those of its lattice of subgroups. 
92e:22007 

Koldunov, A. V. An ordered completion k(S,G, a(p)) of an ordered topological group. 
(Russian) 92k:22004 


Items with secondary classifications in 22A26 

Aminpour, A. M. Spaces of functions determined by iterated limits “at infinity” on an oid. 
92j:22005 

Michaelis, Rebecca N. Connected regular sublattices of Euclidean space. 92b:54080 


22A30 Other topological algebraic systems and their 
representations 


Budak, Talin Filters and semigroup properties. 92e:22008 

Ganguly, Sobhakar (with Mukherjee, M. N.; Sen, S. K.) Certain modifications and some 
observations on the theory of semitopological groups. 92¢:22007 

Johnstone, Peter T. The “closed subgroup theorem” for localic herds and pregroupoids. 
92c:22008 

Khodzhevanishvili, E.S. Hypo-automorphisms of smooth loops. (Russian) 92g:22007 

Lee, Keon Hee Topological covering morphisms of topological groupoids. II. 92¢:22009 

Mukherjee, M. N. see Ganguly, Sobhakar; et al., 92c:22007 

Sabinin, L. V. Smooth hypo-reductive loops. (Russian) 92g:22008 

— Smooth hyporeductive loops. (Russian) 92d:22002 

Sen, S. K. see Ganguly, Sobhakar; et al., 92c:22007 


Items with secondary classifications in 22A30 

Budak, Talin Oids, finite sums and the structure of the Stone-Cech compactification of a 
discrete semigroup. 92b:54051 

Davenport, Dennis E. (with Hindman, Neil) A proof of van Douwen’s right ideal theorem. 
92£:54025 

Gierz, Gerhard (with Romanowska, A. B.) Duality for distributive bisemilattices. 
92i:06025 

Heyer, Herbert Convolution semigroups and potential kernels on a commutative hyper- 
group. 92c:60003 

Hindman, Neil see Davenport, Dennis E., 92f:54025 

Kaiser, H. K. (with Shinwar, M.) Approximation in compact topological universal algebras. 
92a:08001 

Molchanov, V. A. Nonstandard varieties of pseudotopological algebraic systems. (Russian) 
92m:03100 

Pin, Jean-Eric Topologies for the free monoid. 92k:20107 

Ramsay, Arlan (with Walter, Martin E.) Fourier-Stieltjes algebras of locally compact 
groupoids. 92h:43014 

Romanowska, A. B. see Gierz, Gerhard, 92i:06025 

Shinwar, M. see Kaiser, H. K., 92a:08001 

Slin‘ko, A.M. Compact Lie rings. 92m:17036 

Walter, Martin E. see Ramsay, Arian, 92h:43014 


22A99 None of the above, but in this section 


Items with secondary classifications in 22A99 

Alperin, Roger C. (with Sahieh, H.) Hopf’s formula and the Schur multiplicator for 
topological groups. 92j:20052 

Das, N. R. (with Das, Purabi) Mixed topological groups. 92h:22002 

Das, Purabi see Das, N. R., 92h:22002 





22A99 


Dikranjan, Dikran N. (with Shakhmatov, D. B.) Critical power of minimality of topological 
groups close to being compact. 92i:22002 

Hofmann, Karl Heinrich (with Strambach, Karl) Torsion and curvature in smooth loops. 
92e:53023 

Mutter, Wolfgang Maximal left ideals in near-rings of continuous functions on disconnected 
groups. 92c:16043 

Pin, Jean-Eric (with Reutenauer, Christophe) A conjecture on the Hall topology for the free 
group. 92g:20035 

Reutenauer, Christophe see Pin, Jean-Eric, 92g:20035 

Sahleh, H. see Alperin, Roger C., 92j:20052 

Shakhmatov, D. B. see Dikranjan, Dikran N., 92i:22002 

Sipacheva, O. V. Compacta with a continuous Mal’tsev operation and retracts of topological 
groups. (Russian) 92b:54024 

Strambach, Karl see Hofmann, Karl Heinrich, 92e:53023 


22Bxx Locally compact abelian groups (LCA groups) 


22B05 General properties and structure of LCA groups 


Gordon, E.I. Nonstandard analysis and compact abelian groups. (Russian) 92m:22002 

Takahashi, Yuji Character-pure locally compact abelian groups and their dual groups. 
92a:22007 

Trigos-Arrieta, F. Javier Continuity, boundedness, connectedness and the Lindeléf property 
for topological groups. 92h:22009 


Items with secondary classifications in 22B05 

Gordon, E.1. Hyperfinite approximations of locally compact abelian groups. (Russian) 
92h:43012 

Izzo, Alexander J. A functional analysis proof of the existence of Haar measure on locally 
compact abelian groups. 92i:43001 

Rangan, G. A note on radical and radical free topological groups. 92h:22003 


22B10 Structure of group algebras of LCA groups 


Pannenberg, Michael A characterization of a class of locally compact abelian groups via 
Korovkin theory. 92j:22007 


Items with secondary classifications in 22B10 
Kurose, Hideki Local algebras of homogeneous Banach algebras on the circle. 92g:46068 


22B99 None of the above, but in this section 


Higgs, Denis Remarks on duality for o-groups: Pontryagin duality. (Serbo-Croatian 
summary) 92h:22010 


Items with secondary classifications in 22B99 

Baggett, Lawrence W. (with Carey, Alan L.; Moran, William; Ramsay, Arlan) Nonmono- 
mial multiplier representations of abelian groups. 92j:22011 

Carey, Alan L. see Baggett, Lawrence W.; et al., 92j:22011 

Comfort, W. W. (with Trigos-Arrieta, F. Javier) Remarks on a theorem of Glicksberg. 
92k:54042 

Dikranjan, Dikran N. (with Shakhmatov, D. B.) Critical power of minimality of topological 
groups close to being compact. 92i:22002 

Moran, William see Baggett, Lawrence W.; et al., 92j:22011 

Ramsay, Arlan see Baggett, Lawrence W.; et al., 92j:22011 

Shakhmatov, D. B. see Dikranjan, Dikran N., 92i:22002 

Tkachenko, M.G. Countably compact and pseudocompact topologies on free abelian 
groups. (Russian) 92¢:54044 

Trigos-Arrieta, F. Javier see Comfort, W. W., 92k:54042 


22C05 Compact groups 


Cleary, Joan (with Morris, Sidney A.) Compact groups and products of the unit interval. 
92k:22005 

Deshpande, M. V. (with Ghorpade, Sudhir R.) Algebraic characterization of compact 
abelian groups. 92c:22010 

Dikranjan, Dikran N. Density and total density of the torsion part of a compact topological 
group. (Italian summary) 92j:22008 

— (with Shakhmatov, D. B.) Compact-like totally dense subgroups of compact groups. 
92g:22009 

Ghorpade, Sudhir R. see Deshpande, M. V., 92c:22010 

Milnes, Paul (with Pym, J.S.) Haar measure for compact right topological groups. 
92e:22009 

Morris, Sidney A. see Cleary, Joan, 92k:22005 

Pym, J.S. see Milnes, Paul, 92e:22009 

Shakhmatov, D. B. see Dikranjan, Dikran N., 92g:22009 


Items with secondary classifications in 22C05 

Parthasarathy, Kalyanapuram Rangachari A generalised Biane process. 92a:81093 

Soundararajan, T. Classes of topological groups suggested by Galois theory. 92¢:22002 

Tineo, Antonio Classification of compact subgroup of GL(2, R) and relations with the 
geometry of normed spaces. (Spanish) 92i:22007 


22Dxx Locally compact groups and their algebras 


TOPOLOGICAL GROUPS, LIE GROUPS 


1992 366 


22D05 General properties and structure of locally compact groups 


Bagley, R. W. (with Wu, Ta Sun; Yang, Jeong Sheng) Inverse limits and dense immersions 
of locally compact groups. 92j:22009 

Charin, V.S. Topological groups with a generalized minimality condition on subgroups. 
(Russian. Ukrainian summary) 92¢:22011 

Golodets, V. Ya. (with Voevoda, I. V.) Borel parametrization of Polish groups, and Lie 
groups. (Russian) 92d:22003 

Hansel, Georges (with Troallic, Jean-Pierre) Equicontinuity, uniform structures and 
countability in locally compact groups. 92g:22010 

Hao, Feng Qi Conjugate ratio sequences in locally compact topological groups. (Chinese. 
English summary) 92c:22012 

Hofmann, Karl Heinrich (with Morris, Sidney A.) Weight and c. 92g:22011 

Leptin, Horst (with Miiller, Detlef Horst) Uniform partitions of unity on locally compact 
groups. 92k:22006 

Mironets, A. A. Continuity of an intersection operation in a class of isomorphic abelian 
subgroups with a minimality condition. (Russian) 92g:22012 

Morris, Sidney A. see Hofmann, Karl Heinrich, 92g:22011 

Miller, Detlef Horst see Leptin, Horst, 92k:22006 

Mutter, Wolfgang Simplicity of near-rings of continuous functions. 92h:22011 

Piskunov, A. G. Reconstructability of the Vietoris topology from compact sets in the space 
of closed subgroups. (Russian. Ukrainian summary) 92¢:22010 

Plaumann, Peter (with Strambach, Karl) Partitionen Liescher und algebraischer Gruppen. 
(English summary) [Partitions of Lie and algebraic groups] 92h:22012 

Sasvari, Zoltan On measurable local homomorphisms. 92a:22008 

Strambach, Karl see Plaumann, Peter, 92h:22012 

Terp, Christian On locally compact groups whose set of compact subgroups is inductive. 
92k:22007 

Troallic, Jean-Pierre see Hansel, Georges, 92g:22010 

Voevoda, I. V. see Golodets, V. Ya., 92d:22003 

Wu, Ta Sun (with Yang, Jeong Sheng) FC-groups and their generalizations. 92f:22005 

— The union of compact subgroups of an analytic group. 92h:22013 

— see also Bagley, R. W.; et al., 92j:22009 

Yang, Jeong Sheng see Wu, Ta Sun, 92f:22005 and Bagley, R. W.; et al., 92j:22009 


Items with secondary classifications in 22D05 

Deshpande, M. V. (with Ghorpade, Sudhir R.) Algebraic characterization of compact 
abelian groups. 92c:22010 

Ghorpade, Sudhir R. see Deshpande, M. V., 92c:22010 

Hansel, Georges (with Troallic, Jean-Pierre) On a class of weakly almost periodic 
mappings. 92¢:43005 

Kehlet, Esben T. Locally compact F’-spaces, sub-Stonean spaces and quotients of locally 
compact groups. 92k:46030 

Lau, Anthony To Ming (with Milnes, Paul; Pym, J.S.) Compactifications of locally compact 
groups and closed subgroups. 92¢:43004 

Milnes, Paul see Lau, Anthony To Ming; et al., 92¢:43004 

Pym, J.S. see Lau, Anthony To Ming; et al., 92e:43004 

Troallic, Jean-Pierre see Hansel, Georges, 92c:43005 


22D10 Unitary representations of locally compact groups 


Baggett, Lawrence W. Processing a radar signal and representations of the discrete 
Heisenberg group. 92h:22014 

Blimlinger, Martin Characterization of measures in the group C*-algebra of a locally 
compact group. 92d:22004 

Burger, Marc Kazhdan constants for SL(3, Z). 92¢:22013 

Kuhn, Gabriella (with Steger, Tim) A characterization of spherical series representations of 
the free group. 92j:22010 

Pavone, Marco On the geodesic distance and group actions on trees. 92g:22013 

Rindler, Harald On weak containment properties. 92e:22011 

Sasvari, Zoltan Conditionally positive definite functions and unitary group representations 
in 2,-spaces. 92b:22004 

Steger, Tim see Kuhn, Gabriella, 92j:22010 


Items with secondary classifications in 22D10 

Gajda, Zbigniew Unitary representations of topological groups and functional equations. 
92m:39019 

de Gosson, Maurice Maslov indices on the metaplectic group Mp(n). (French summary) 
92e:22027 

Hirai, Takeshi Construction of irreducible unitary representations of the infinite symmetric 
group 6... 92i:20018 

Ikeshoji, Kiyoshi On Plancherel measures of quotient groups and the Poisson summation 
formula. 92£:43002 

Pannenberg, Michael A characterization of a class of locally compact abelian groups via 
Korovkin theory. 92j:22007 

Sasvari, Zoltan On a refinement of the Gel/fand-Raikov theorem. 92f:43008 

Spielberg, John Free-product groups, Cuntz-Krieger algebras, and covariant maps. 
92j:46120 

Werner, Reinhard F. Dilations of symmetric operators shifted by a unitary group. 
92e:47068 


22D12 Other representations of locally compact groups 


Baggett, Lawrence W. (with Carey, Alan L.; Moran, William; Ramsay, Arlan) Nonmono- 
mial multiplier representations of abelian groups. 92j:22011 

Bozejko, Marek (with Fendler, Gero) Herz-Schur multipliers and uniformly bounded 
representations of discrete groups. 92k:22008 

Carey, Alan L. see Baggett, Lawrence W.; et al., 92j:22011 

Fendler, Gero see Bozejko, Marek, 92k:22008 

Friedrich, Jirgen Local group representations. 92g:22014 

Moran, William see Baggett, Lawrence W.; et al., 92j:22011 





367 1992 


Pytlik, Tadeusz Spherical functions and uniformly bounded representations of free groups. 
92j:22012 

Ramsay, Arlan see Baggett, Lawrence W.; et al., 92j:22011 

Shin’ya, Hitoshi Examples of essentially non-Banach representations. 92¢:22012 


Items with secondary classifications in 22D12 

Fendler, Gero A uniformly bounded representation associated to a free set in a discrete 
group. 92d:43009 

Gréchenig, Karlheinz Describing functions: atomic decompositions versus frames. 
92m:42035 

Pavel, Liliana Properties of generalized induction procedure. 92i:22004 

Szwarc, Ryszard Groups acting on trees and approximation properties of the Fourier 
algebra. 92e:43005 

Wu, Ta Sun (with Yang, Jeong Sheng) FC-groups and their generalizations. 92f:22005 

Yang, Jeong Sheng see Wu, Ta Sun, 92f:22005 


22D15 Group algebras of locally compact groups 
Linnell, P. A. Zero divisors and group von Neumann algebras. 92e:22013 


Items with secondary classifications in 22D15 

Bekka, Mohammed El Bachir (with Ludwig, Jean) Complemented *-primitive ideals in L'- 
algebras of exponential Lie groups and of motion groups. 92h:43004 

Blimlinger, Martin Characterization of measures in the group C*-algebra of a locally 
compact group. 92d:22004 

Granirer, Edmond E. On convolution operators which are far from being convolution by a 
bounded measure. Expository memoir. 92m:43005a 

— Corrigendum: “On convolution operators which are far from being convolution by a 
bounded measure. Expository memoir”. 92m:43005b 

Ludwig, Jean see Bekka, Mohammed El Bachir, 92h:43004 

Pannenberg, Michael A characterization of a class of locally compact abelian groups via 
Korovkin theory. 92j:22007 

Patterson, Paul L. Characterizations of algebras arising from locally compact groups. 
92e:43001 


22D20 Representations of group algebras 


Items with secondary classifications in 22D20 

Bekka, Mohammed El Bachir (with Ludwig, Jean) Complemented *-primitive ideals in L'- 
algebras of exponential Lie groups and of motion groups. 92h:43004 

Ludwig, Jean see Bekka, Mohammed El Bachir, 92h:43004 


22D25 C*-algebras and W*-algebras arising from group 
representations [see also 46Lxx] 


Exel, Ruy Hankel matrices over right ordered amenable groups. 92f:22006 

Leung, C. W. (with Plymen, Roger J.) L?-Fourier transform for reductive p-adic groups. 
92g:22015 

— see also Plymen, Roger J., 92g:22016 

Plymen, Roger J. (with Leung, C. W.) Arithmetic aspect of operator algebras. 92g:22016 

— see also Leung, C. W., 92g:22015 

Podkolzin, G. B. The infinitesimal object of a hypercomplex system generated by double 
cosets, and nonlinear differential equations. (Russian) 92k:22009 


Items with secondary classifications in 22D25 

Arzumanyan, V. A. (with Grigoryan, Souren Arshakovich) Invariant algebras of operator 
fields on compact abelian groups. (Russian and Armenian summaries) 92h:46084 

Bédos, Erik Discrete groups and simple C*-algebras. 92j:46115 

Blimlinger, Martin Characterization of measures in the group C*-algebra of a locally 
compact group. 92d:22004 

Boca, Florin (with Nitica, V.) Extensions of groups and simple C*-algebras. 92h:46085 

Boyer, Robert P. Representation theory of U(co). 92b:46089 

Dadarlat, M. (with Pasnicu, Cornel) On certain automorphisms of reduced crossed 
products with discrete groups. 92a:46077 

Effros, Edward G. (with Ruan, Zhong-jin) Multivariable multipliers for groups and their 
operator algebras. 92c:43007 

Fox, Jeffrey (with Haskell, Peter) Index theory on locally homogeneous spaces. 92j:58105 

Giordano, Thierry (with de la Harpe, Pierre) Groupes de tresses et moyennabilité 
intérieure. [Braid groups and inner amenability] 92m:46094 

Grigoryan, Souren Arshakovich see Arzumanyan, V. A., 92h:46084 

de la Harpe, Pierre see Giordano, Thierry, 92m:46094 

Haskell, Peter see Fox, Jeffrey, 92j:58105 

Kastler, Daniel (with Mebkhout, M.) Revisiting the Mackey-Stone-von Neumann theorem: 
the C*-algebra of a presymplectic space. 92k:46117 

Kawamura, Shinzé Topological dynamical systems and corresponding C*-algebras. (see 
92m:58003) 

*Lamoureux, Michael P. Analytic isomorphisms of transformation group C*-algebras. 

92£:46078 

Landsman, N. P. Quantization and superselection sectors. I. Transformation group C*- 
algebras. 92e:81125a 

— Errata: “Quantization and superselection sectors. I. Transformation group C*-algebras”. 
92e:81125b 

— Quantization and superselection sectors. II. Dirac moaopole and Aharonov-Bohm effect. 
92e:81125¢ 

— Errata: “Quantization and superselection sectors. II. Dirac monopole and Aharonov- 
Bohm effect”. 92e:81125d 

— (with Linden, Noah) The geometry of inequivalent quantizations. 92i:81154 

Linden, Noah see Landsman, N. P., 92i:81154 

Linnell, P. A. Zero divisors and group von Neumann algebras. 92e:22013 


22D Locally compact groups and their algebras 


22D40 


Mansfield, Kevin Induced representations of crossed products by coactions. 92h:46095 

Martin, Mircea Projective representations of compact groups in C*-algebras. 92f:46066 

Mebkhout, M. see Kastler, Daniel, 92k:46117 

Nitica, V. see Boca, Florin, 92h:46085 

Olesen, Dorte (with Raeburn, Iain) Pointwise unitary automorphism groups. 92b:46105 

Pasnicu, Cornel see Dadarlat, M., 92a:46077 

Peligrad, Costel Compact actions commuting with ergodic actions and applications to 
crossed products. 92h:46097 

Peloso, M. M. Central critical points in the spectrum of the Fourier-Stieltjes algebra of a 
locally compact group. (Italian summary) 92k:43005 

Pukanszky, L. On the characters of connected Lie groups. 92¢:22027 

Raeburn, Iain (with Williams, Dana P.) Moore cohomology, principal bundles, and actions 
of groups on C*-algebras. 92j:46125 

— see also Olesen, Dorte, 92b:46105 

Rieffel, Marc A. Proper actions of groups on C*-algebras. 92i:46079 

Ruan, Zhong-jin see Effros, Edward G., 92c:43007 

Spielberg, John Free-product groups, Cuntz-Krieger algebras, and covariant maps. 
92j:46120 

Szymezak, I. (with Zakrzewski, Stanislaw) Quantum deformations of the Heisenberg group 
obtained by geometric quantization. 92i:58066 

Wassermann, Simon C*-algebras associated with groups with Kazhdan’s property T. 
92g:46085 

Williams, Dana P. see Raeburn, Iain, 92j:46125 

Yamanouchi, Takehiko Duality for actions and coactions of measured groupoids on von 
Neumann algebras. (see 92d:00034) 

Zakrzewski, Stanislaw see Szymczak, I., 92i:58066 


22D30 Induced representations 


Jorgensen, Palle E.T. Imprimitivity systems associated to regions in R", connections 
between geometry and spectrum, a sample of problems. (see 92d:00034) 
Pavel, Liliana Properties of generalized induction procedure. 92i:22004 


Items with secondary classifications in 22D30 

Bushnell, Colin J. Induced representations of locally profinite groups. 92d:22025 

Cassinelli, Gianni (with Lahti, Pekka J.) Nontransitive imprimitivity systems for the 
Galilei group. 92a:22025 

Doebner, H.-D. (with Tolar, J.) Mackey’s quantization and invariant connections. 
92¢:22021 

Echterhoff, Siegfried Erratum to: “On induced covariant systems” [Proc. Amer. Math. Soc. 
108 (1990), no. 3, 703-706; MR 90f:46105]. 92m:46105 

Hirai, Takeshi Construction of irreducible unitary representations of the infinite symmetric 
group GS... 92i:20018 

Jacobsen, Jacob (with Stetker, Henrik) Ultra-irreducibility of induced representations. 
92h:22024 

Lahti, Pekka J. see Cassinelli, Gianni, 92a:22025 

Obata, Nobuaki Construction of irreducible unitary representations of amalgams of discrete 
abelian groups. 92c:20013 

Stetker, Henrik see Jacobsen, Jacob, 92h:22024 

Tolar, J. see Doebner, H.-D., 92c:22021 

Tran Dao Dong (with Tran Vui) On the procedure of multidimensional quantization. 
92¢:22031 

Tran Vui see Tran Dao Dong, 92c:22031 


22D35 Duality theorems 


Items with secondary classifications in 22D35 


Cartier, Pierre Développements récents sur les groupes de tresses. Applications a la 
topologie et a l’algebre. [Recent developments on braid groups. Applications to topology 
and algebra] 92d:20053 

Majid, Shahn Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, 
and the classical Yang-Baxter equations. 92b:46088 

Voit, Michael On the dual space of a commutative hypergroup. 924:43008 

Yamagami, Shigeru On primitive ideal spaces of C*-algebras over certain locally compact 
groupoids. 92j:46110 

Yamanouchi, Takehiko Duality for actions and coactions of measured groupoids on von 
Neumann algebras. (see 92d:00034) 


22D40 Ergodic theory on groups [see also 28Dxx, 43A60] 


Ageev, O. N. Actions by automorphisms of commutative compact groups with a countably 
multiple Lebesgue component in the spectrum. (Russian) 92e:22014 

Dani, S. G. Dense orbits of horospherical flows. 92g:22017 

Fédorov, A. L. see Veksler, A. S., 92¢:22015 

Golodets, V. Ya. (with Sinel/shchikov, S. D.) Amenable ergodic actions of groups and 
images of cocycles. (Russian) 92¢:22014 

Kaminski, Brunon Relative generators for the action of a countable abelian group on a 
Lebesgue space. 92g:22018 

Kwiatkowski, Jan (with Lemanczyk, Mariusz) The centralizer of ergodic theory group 
extensions. 92f:22007 

Lematiczyk, Mariusz (with Mentzen, Mieczyslaw K.) Compact subgroups in the centralizer 
of natural factors of an ergodic group extension of a rotation determine all factors. 
92g:22019 

— see also Kwiatkowski, Jan, 92f:22007 

Lind, Douglas (with Schmidt, Klaus D.; Ward, Tom) Mahler measure and entropy for 
commuting automorphisms of compact groups. 92j:22013 

Margulis, G. A. Lie groups and ergodic theory. 92f:22008 

Mentzen, Mieczystaw K. see Lemariczyk, Mariusz, 92g:22019 

Ramsay, Arlan Local product structure for group actions. 92g:22020 





22D40 


Ratner, Marina Strict measure rigidity for unipotent subgroups of solvable groups. 
92h:22015 

Schmidt, Klaus D. see Lind, Douglas; et al., 92j:22013 

Sinel'shchikov, S. D. see Golodets, V. Ya., 92c:22014 

Stuck, Garrett Cocycles of ergodic group actions and vanishing of first cohomology for S- 
arithmetic groups. 92f:22009 

Veksler, A.S. (with Fédorov, A. L.) External conjugacy of the actions of locally compact 
groups in the normalizer of measurable equivalence relation. (Russian) 92¢:22015 

Ward, Tom see Lind, Douglas; et al., 92j:22013 


Items with secondary classifications in 22D40 

Asmar, Nakhlé H. (with Nair, Radhakrishnan) Certain averages on the a-adic numbers. 
92c:11079 

Blot, Jo#l Le théoréme de Markov-Kakutani et la presque-périodicité. (English summary) 
[The Markov-Kakutani theorem and almost periodicity] 92j:43008 

Burger, Marc Kazhdan constants for SL(3,Z). 92¢:22013 

Cowling, Michael Rigidity for lattices in semisimple Lie groups: von Neumann algebras and 
ergodic actions. 92g:22026 

Margulis, G. A. Indefinite quadratic forms and unipotent flows on homogeneous spaces. 
92g:11034 

— * Discrete subgroups of semisimple Lie groups. 92h:22021 

Méla, Jean-Francois Quasi-invariant measures and Fourier properties. 92j:43001 

Nair, Radhakrishnan see Asmar, Nakhlé H., 92c:11079 

Ratner, Marina Distribution rigidity for unipotent actions on homogeneous spaces. 
92a:22015 

Rangi, Albert Caractérisation d’une famille de fonctions harmoniques positives sur les 
groupes moyennables. [Characterization of a family of positive harmonic functions on 
amenable groups] 92k:60015 

Robinson, E. Arthur, Jr. The maximal abelian subextension determines weak mixing for 
group extensions. 92e:28010 

Sarnak, Peter * Some applications of modular forms. 92k:11045 

Schmidt, Klaus D. * Algebraic ideas in ergodic theory. 92k:28029 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Schmidt, Klaus D., 92k:28029 


22D45 Automorphism groups of locally compact groups 


Items with secondary classifications in 22D45 

Hansel, Georges (with Troallic, Jean-Pierre) Equicontinuity, uniform structures and 
countability in locally compact groups. 92g:22010 

Troallic, Jean-Pierre see Hansel, Georges, 92g:22010 


22D99 None of the above, but in this section 


Items with secondary classifications in 22D99 


Barchielli, Alberto Some Markov semigroups in quantum probability. 92d:81016 

Bragiel, Kazimierz On the Wigner-Eckart theorem for tensor operators connected with 
compact matrix quantum groups. 924:46176 

Hora, Akihito Quasi-invariant measures on commutative Lie groups of infinite product 
type. 92m:43001 

Spallek, Karlheinz Differentiable groups and Whitney spaces. (German. English summary) 
92e:58009 


22Exx Lie groups {For the topology of Lie groups and 
homogeneous spaces, see 57Sxx, 57Txx; for 
analysis thereon, see 43A80, 43A85, 43A90.} 


Klimyk, A. U. see Vilenkin, N. Ya., 92k:22010 
Vilenkin, N. Ya. (with Klimyk, A. U.) Representations of Lie groups, and special functions. 
(Russian) 92k:22010 


Items with secondary classifications in 22Exx 

Ise, Mikio (with Takeuchi, Masaru) * Lie groups. I, II. 92a:22001 
(Nomizu, Katsumi) see Ise, Mikio, 92a:22001 

Takeuchi, Masaru see Ise, Mikio, 92a:22001 


22E05 Local Lie groups [see also 34-XX, 35-XX, 58H05] 


Kozma, Jézsef Behaviour of loops in a canonical coordinate system. 92a:22009 

Prado, Humberto E. A geometric construction of local representations of local Lie groups. 
92j:22014 

Trenéevski, Kostadin On the Lie groups SO(3) and SO(4). (Macedonian summary) 
92i:22005 

Weiss, Wolfgang Sophus Lie’s fundamental theorem—categorical aspects. 92k:22011 


Items with secondary classifications in 22E05 
Hofmann, Karl Heinrich Lie groups and semigroups. 92b:22002 
Husty, Manfred (with Nagy, Péter T.) Dreidimensionale Lie Gruppen und ebene 


Kinematik. (English summary) [Three-dimensional Lie groups and plane kinematics] 
924:53011 


Nagy, Péter T. see Husty, Manfred, 92d:53011 
Weiss, Wolfgang Local Lie semigroups and open embeddings into global topological 
semigroups. 92c:22006 


TOPOLOGICAL GROUPS, LIE GROUPS 1992 368 


22E10 General properties and structure of complex Lie groups 
[see also 32M05] 


Jing, SiCong (with Ruan, Tu Nan) A new form of the Baker-Hausdorff equation. (Chinese) 
92¢:22016 

Neretin, Yu. A. Extension of representations of classical groups to representations of 
categories. (Russian) 92j:22015 

Ruan, Tu Nan see Jing, Si Cong; et al., 92c:22016 

Vargas, Jorge Horospheres in pseudo-symmetric spaces. 92¢:22017 


Items with secondary classifications in 22E10 

Masuda, Mikiya (with Petrie, Ted) Equivariant algebraic vector bundles over representa- 
tions of reductive groups: theory. 92j:14059a 

— (with Moser-Jauslin, Lucy; Petrie, Ted) Equivariant algebraic vector bundles over 
representations of reductive groups: applications. 92j:14059b 

Moser-Jauslin, Lucy see Masuda, Mikiya; et al., 92j:14059b 

Petrie, Ted see Masuda, Mikiya, 92j:14059a and 92j:14059b 


22E15 General properties and structure of real Lie groups 


Borisov, Adriyan V. On the subgroups of the isometry group in the three-dimensional 
Gallilean space. 92j:22016 

Dani, S.G. On automorphism groups of connected Lie groups. 92k:22012 

Gorbatsevich, V. V. Plesio-compact homogeneous spaces. II. (Russian) 92m:22003 

Hilgert, Joachim Infinitesimally generated subsemigroups of motion groups. 92j:22017 

Hofmann, Karl Heinrich Lie semigroups in topology and geometry. 92k:22013 

Lee, Dong Hoon (with Wu, Ta Sun) Rationality of representations of linear Lie groups. 
92:22010 

Mislin, Guido (with Thévenaz, Jacques) The Z*-theorem for compact Lie groups. 
92i:22006 

Miyashita, Toshikazu see Yokota, Ichiro, 92i:22008 

Mladenova, C.D. About the topological structure of SO(3) group. 92h:22016 

Neeb, Karl-Hermann Semigroups in the universal covering group of SL(2). 92¢:22018 

— The duality between subsemigroups of Lie groups and monotone functions. 92e:22015 

Pianzola, Arturo (with Weiss, Alfred R.) The rationality of elements of prime order in 
compact connected simple Lie groups. 92k:22014 

Podkolzin, G. B. Infinitesimal algebras for the hypercomplex system SO(4)//SO(2). 
(Russian. Ukrainian summary) 92b:22005 

Podoksénov, M. N. Letter to the editor: “A class of transformations of Lie groups” [Sibirsk. 
Mat. Zh. 30 (1989), no. 3, 97-102; MR 90k:22008]. (Russian) 92b:22006 

Silva Leite, Fatima Bounds on the order of generation of SO(n, R) by one-parameter 
subgroups. 92j:22018 

Thévenaz, Jacques see Mislin, Guido, 92i:22006 

Tineo, Antonio Classification of compact subgroup of GL(2, R) and relations with the 
geometry of normed spaces. (Spanish) 92i:22007 

Weiss, Alfred R. see Pianzola, Arturo, 92k:22014 

Wildberger, N. J. On a relationship between adjoint orbits and conjugacy classes of a Lie 
group. 92a:22010 

Wu, Ta Sun see Lee, Dong Hoon, 92f:22010 

Yokota, Ichiro (with Miyashita, Toshikazu) Global isomorphisms of lower-dimensional Lie 
groups. 92i:22008 

— Realizations of involutive automorphisms o and G’ of exceptional linear Lie groups G. I. 
G = G», F, and E,¢. 92j:22019a 

— Realizations of involutive automorphisms o and G’ of exceptional linear Lie groups G. II. 
G=E;. 92j:22019b 

— Realizations of involutive automorphisms o and G’ of exceptional linear Lie groups G. 
Ill. G = Eg. 92j:22019c 


Items with secondary classifications in 22E15 

Currey, Bradley N. The structure of the space of coadjoint orbits of an exponential solvable 
Lie group. 92j:22020 

Day, Jane M. (with So, W.; Thompson, Robert C.) Some properties of the Campbell-Baker- 
Hausdorff series. 92m:17049 

Golodets, V. Ya. (with Voevoda, I. V.) Borel parametrization of Polish groups, and Lie 
groups. (Russian) 92d:22003 

Guerrero, Berenice Integral geometry of the groups ST(n + 1) and ST;(n + 1) in projective 
space P”. (Spanish) 92b:53116 

Herz, Carl Representations of Lie groups by contact transformations. I. Compact groups. 
(French summary) 92e:22028 

Hofmann, Karl Heinrich A short course on the Lie theory of semigroups. I. 92j:22002 

Mashimo, Katsuya (with Tasaki, Hiroyuki) Stability of maximal tori in compact Lie 
groups. 92f:53064 

Neeb, Karl-Hermann Monotone functions on symmetric spaces. 92h:53061 

— A short course on the Lie theory of semigroups. III. Globality of invariant wedges. 
92j:22004 

Plaumann, Peter (with Strambach, Karl) Partitionen Liescher und algebraischer Gruppen. 
(English summary) [Partitions of Lie and algebraic groups] 92h:22012 

— (with Strambach, Karl) Partitionen einfach zusammenhangender auflésbarer Liegruppen. 
[Partitions of simply connected solvable Lie groups] 92k:22016 

Sasin, Wieslaw Infinite Cartesian product of differential groups. 92j:58005 

Shabat, G. B. see Tumanov, A. E., 92d:32042 

So, W. see Day, Jane M.; et al., 92m:17049 

Strambach, Karl see Plaumann, Peter, 92h:22012 and 92k:22016 

Tasaki, Hiroyuki see Mashimo, Katsuya, 92f:53064 

Terp, Christian On locally compact groups whose set of compact subgroups is inductive. 
92k:22007 

Thompson, Robert C. see Day, Jane M.; et al., 92m:17049 

Tumanov, A. E. (with Shabat, G. B.) Realization of linear Lie groups by biholomorphic 
automorphisms of bounded domains. (Russian) 924:32042 

Voevoda, I. V. see Golodets, V. Ya., 92d:22003 





369 1992 


Wu, Ta Sun The union of compact subgroups of an analytic group. 92h:22013 
Wybourne, Brian G. Calculating properties of Lie groups. 92¢:22001 
Ziegler, Francois On the Kostant convexity theorem. 92j:22033 


22E20 General properties and structure of other Lie groups 
Stevens, T. Christine Weakened Lie groups and groups of homeomorphisms. 92c:22019 


22E25 Nilpotent and solvable Lie groups 


Anoussis, Michalis Sur les caractéres des groupes de Lie résolubles. (English summary) [On 
the characters of solvable Lie groups] 92i:22009 

Currey, Bradley N. The structure of the space of coadjoint orbits of an exponential solvable 
Lie group. 92j:22020 

Damek, Ewa (with Hulanicki, Andrzej) Boundaries for left-invariant subelliptic operators 
on semidirect products of nilpotent and abelian groups. 92a:22011 

Fabec, R.C. Homogeneous distributions on the Heisenberg group and representations of 
SU(2, 1). 92¢:22020 

Hulanicki, Andrzej see Damek, Ewa, 92a:22011 

Inoue, Junko Fourier transforms for affine automorphism groups on Siegel domains. 
924:22005 

Miller, Detlef Horst A new criterion for local nonsolvability of homogeneous left invariant 
differential operators on nilpotent Lie groups. 92f:22011 

Pfeffer, Carolyn Primary summand functions on three-dimensional compact solvmanifolds. 
92k:22015 

Plaumann, Peter (with Strambach, Karl) Partitionen einfach zusammenhangender 
auflésbarer Liegruppen. [Partitions of simply connected solvable Lie groups] 92k:22016 

Strambach, Karl see Plaumann, Peter, 92k:22016 


Items with secondary classifications in 22E25 

Cordero, Luis A. (with Fernandez, Marisa Luisa; Gray, Alfred) Lie groups with no left 
invariant complex structures. 92f:53032 

Corwin, Lawrence J. (with Greenleaf, Frederick P.) * Representations of nilpotent Lie 
groups and their applications. Part I. 92b:22007 

— Towards harmonic analysis on homogeneous spaces of nilpotent Lie groups. 92m:22004 

Currey, Bradley N. An explicit Plancherel formula for completely solvable Lie groups. 
92d:22006 

Cygan, Jacek M. (with Richardson, Leonard F.) D-harmonic distributions and global 
hypoellipticity on nilmanifolds. 92h:22019 

Fang, Zhen Zhen see Zhang, Wei Guo; et al., 92b:22009 

Fernandez, Marisa Luisa see Cordero, Luis A.; et al., 92f:53032 

Gebuhrer, Marc-Olivier Multiplicateurs radiaux sur le groupe de Heisenberg. (English 
summary) [Radial multipliers for the Heisenberg group] 92i:43002 

Goodman, Roe Whittaker transforms on real-rank one Lie groups. 92e:22026 

Goze, Michel (with Piu, M. Paola) Classification des métriques invariantes 4 gauche sur le 
groupe de Heisenberg. (English summary) [Classification of left-invariant metrics on the 
Heisenberg group] 92h:53059 

Gray, Alfred see Cordero, Luis A.; et al., 92f:53032 

Greenleaf, Frederick P. see Corwin, Lawrence J., 92b:22007 

Guliev, V.S. Boundedness of singular integral operators on the Heisenberg group in 
weighted generalized-Hélder and weighted Lp-spaces. (Russian) 92f:22014 

Hazod, W. Uber den Typenkonvergenzsatz auf zusammenhangenden Lie Gruppen. (English 
summary) [On the convergence of types theorem on connected Lie groups] 92h:60011 

Jacobsen, Jacob (with Stetker, Henrik) Ultra-irreducibility of induced representations. 
92h:22024 

Lipsman, Ronald L. The Penney-Fujiwara Plancherel formula for symmetric spaces. 
92b:22008 

— The multiplicity function on exponential and completely solvable homogeneous spaces. 
92g:22022 

Macias, Enrique Sous-groupes denses des groupes de Lie nilp [Dense subgroups of 
nilpotent Lie groups] 92e:22021 

Milnes, Paul Extension of flows, Ellis groups and groups of Heisenberg type. 92i:54044 

Miiller, Detlef Horst (with Ricci, Fulvio) Analysis of second order differential operators on 
Heisenberg groups. I. 92d:22011 

Piu, M. Paola see Goze, Michel, 92h:53059 

Ricci, Fulvio see Miller, Detlef Horst, 92d:22011 

Richardson, Leonard F. see Cygan, Jacek M., 92h:22019 

Shiga, Kiyoshi (with Takeuchi, Shigeru) Left invariant CR-structures on group manifolds. 
92£:32015 

— (with Takeuchi, Shigeru) Invariant complex structures on 4-dimensional solvable Lie 
groups. 92f:53035 

Stetker, Henrik see Jacobsen, Jacob, 92h:22024 

Strichartz, Robert S. L” harmonic analysis and Radon transforms on the Heisenberg group. 
92d:22015 

Takeuchi, Shigeru see Shiga, Kiyoshi, 92f:32015 and 92f:53035 

Tralle, A. E. A new existence theorem for the generalized Riemannian symmetric spaces of 
solvable type. 92b:53083 

Uemura, Hideaki Off-diagonal short time expansion of the heat kernel on a certain nilpotent 
Lie group. 92e:58235 

Zhang, Wei Guo (with Fang, Zhen Zhen) Weighted mean value theorem for solutions to the 
Kohn-Laplace equation on the Heisenberg group. (Chinese. English summary) 92b:22009 





22E27 Representations of nilpotent and solvable Lie groups 
(special orbital integrals, non-type I representations, etc.) 
Corwin, Lawrence J. (with Greenleaf, Frederick P.) * Representations of nilpotent Lie 
groups and their applications. Part I. 92b:22007 
— Towards harmonic analysis on homogeneous spaces of nilpotent Lie groups. 92m:22004 


— (with Greenleaf, Frederick P.) Uniform convergence and decay of Fourier series on 
compact nilmanifolds. 92e:22016 


22E Lie groups 


22E30 


Currey, Bradley N. An explicit Plancherel formula for completely solvable Lie groups. 
92d:22006 

Felix, Rainer Darstellungstheorie nilpotenter Lie-Gruppen. Ein distributi h 
Zugang. [Representation theory of nilpotent Lie groups. A distribution-theoretical 
approach] 92h:22017 

Fujiwara, Hidenori Représentations monomiales des groupes de Lie résolubles exponentiels. 
[Monomial representations of exponential solvable Lie groups] 92g:22021 

— Sur les restrictions des représentations unitaires des groupes de Lie résolubles expo- 
nentiels. [On restrictions of unitary representations of exponential solvable Lie groups] 
92f:22012 

Greenleaf, Frederick P. see Corwin, Lawrence J., 92b:22007 and 92e:22016 

Jorgensen, Palle E.T. Unbounded operators associated to unitary representations of 
nilpotent Lie groups. 92d:22007 

Lipsman, Ronald L. Restricting representations of completely solvable Lie groups. 
92h:22018 

— The multiplicity function on exponential and completely solvable homogeneous spaces. 
92g:22022 

Penney, Richard Realization of representations of completely solvable Lie groups in spaces 
of L? harmonic forms. 92i:22010 

Torrésani, Bruno Wavelets associated with representations of the affine Weyl-Heisenberg 
group. 92j:22021 

Yang, Jae-Hyun Harmonic analysis on the quotient spaces of Heisenberg groups. 92j:22022 


Items with secondary classifications in 22E27 

Currey, Bradley N. The structure of the space of coadjoint orbits of an exponential solvable 
Lie group. 92j:22020 

Gtowacki, Pawel The Rockland condition for nondifferential convolution operators. II. 
92¢:43001 

Helminck, G. F. An irreducible smooth nonadmissible representation. 92c:22038 

Patera, J. (with Rodriguez, Miguel A.; Zaoui, M.) On the intersections of A, subgroups in 
the exceptional simple Lie groups E,, E; and Ex. 92g:22032 

Pukanszky, L. On the characters of connected Lie groups. 92c:22027 

Rodriguez, Miguel A. see Patera, J.; et al., 92g:22032 

Zaoui, M. see Patera, J.; et al., 92g:22032 





22E30 Analysis on real and complex Lie groups [see also 33C80, 
43-XX] 


Anker, Jean-Philippe The spherical Fourier transform of rapidly decreasing functions. 
A simple proof of a characterization due to Harish-Chandra, Helgason, Trombi, and 
Varadarajan. 92d:22008 

Carcano, Giovanna Algebras of invariant functions on the Silov boundary of generalized 
half-planes. 92f:22013 

Cowling, Michael (with Dooley, Anthony H.; Koranyi, Adam; Ricci, Fulvio) H-type groups 
and Iwasawa decompositions. 92e:22017 

Cygan, Jacek M. (with Richardson, Leonard F.) D-harmonic distributions and global 
hypoellipticity on nilmanifolds. 92h:22019 

— (with Richardson, Leonard F.) Global regularity on 3-dimensional solvmanifolds. 
92e:22018 

Davidson, Mark G. (with Enright, Thomas J.; Stanke, Ronald J.) Covariant differential 
operators. 92d:22009 

Davis, K. M. (with Gilbert, J. E.; Kunze, R. A.) Elliptic differential operators in harmonic 
analysis. I. Generalized Cauchy-Riemann systems. 92h:22020 

Dedié, Ljuban On Haar measure on SL(n,R). 92¢:22019 

Doebner, H.-D. (with Tolar, J.) Mackey’s quantization and invariant connections. 
92¢:22021 

Dooley, Anthony H. see Cowling, Michael; et al., 92e:22017 

Enright, Thomas J. see Davidson, Mark G.; et al., 92d:22009 

Fang, Zhen Zhen see Zhang, Wei Guo; et al., 92b:22009 

Folland, Gerald B. * Harmonic analysis in phase space. 92k:22017 

Gilbert, J. E. see Davis, K. M.; et al., 92h:22020 

Guliev, V.S. Boundedness of singular integral operators on the Heisenberg group in 
weighted generalized-Hélder and weighted Ly-spaces. (Russian) 92f:22014 

Hansen, Mogens Lemvig Weak amenability of the universal covering group of SU(1, 7). 
92a:22012 

Koranyi, Adam see Cowling, Michael; et al., 92e:22017 

Krein, S.G. (with Pesenson, I. Z.) * IIpocrpaHcTsBa rmayKHX 3/IeMeHTOB, NOPORJCHHbIX 
npevcTaBienuem rpynnsi Jiu. (Russian) [Spaces of smooth elements generated by the 
representation of a Lie group] 92g:22023 

Kunze, R. A. see Davis, K. M.; et al., 92h:22020 

Lipsman, Ronald L. The Penney-Fujiwara Plancherel formula for symmetric spaces. 
92b:22008 

Manchon, Dominique Formule de Wey! pour les groupes de Lie nilpotents. [The Weyl 
formula for nilpotent Lie groups] 92j:22023 

Molchanov, V. F. Harmonic analysis on homogeneous spaces. (Russian) 92d:22010 

Miller, Detlef Horst (with Ricci, Fulvio) Analysis of second order differential operators on 
Heisenberg groups. I. 92d:22011 

Nassiet, Francis Séries de Fourier a coefficients positifs. (English summary) [Fourier series 
with nonnegative coefficients] 92d:22012 

Pesenson, I. Z. see Krein, S. G., 92g:22023 

Ricci, Fulvio see Miller, Detlef Horst, 92d:22011 and Cowling, Michael; et al., 92e:22017 

Richardson, Leonard F. see Cygan, Jacek M., 92e:22018 and 92h:22019 

Robinson, Derek W. Elliptic differential operators on Lie groups. 92d:22013 

Rossmann, W. Nilpotent orbital integrals in a real semisimple Lie algebra and representa- 
tions of Weyl groups. 92¢:22022 

Rouviere, Francois Une propriété de symétrie des espaces symétriques. (English summary) 
[A symmetry property of symmetric spaces] 92c:22023 

Saloff-Coste, Laurent Analyse sur les groupes de Lie a croissance polynémiale. (English 
summary) [Analysis on Lie groups with polynomial growth] 92d:22014 

Sano, Shigeru The Plancherel formula for the symmetric space Gc/Gp. 92f:22015 





22E30 


— Produit de convolution sur les espaces symétriques semi-simples. (English summary) 
[Convolution on semisimple symmetric spaces] 92a:22013 

— Distributions sphériques invariantes sur les espaces symétriques semi-simples G,/G. 
[Invariant spherical distributions on the semisimple symmetric spaces G-/G] 92g:22024 

Stanke, Ronald J. see Davidson, Mark G.; et al., 92d:22009 

Strichartz, Robert S. L’ harmonic analysis and Radon transforms on the Heisenberg group. 
924:22015 

Thangavelu, S. Restriction theorems for the Heisenberg group. 92e:22020 

Tolar, J. see Doebner, H.-D., 92c:22021 

Zhang, Wei Guo (with Fang, Zhen Zhen) Weighted mean value theorem for solutions to the 
Kohn-Laplace equation on the Heisenberg group. (Chinese. English summary) 92b:22009 


Items listed otherwise than by author 
Annals of Mathematics Studies see Folland, Gerald B., 92k:22017 


Items with secondary classifications in 22E30 


Alekseevskii, D. V. (with Putko, B. A.) On the completeness of left-invariant pseudo- 
Riemannian metrics on Lie groups [in Topological and geometric methods of analysis 
(Russian), 12-28, Voronezh. Gos. Univ., Voronezh, 1989; MR 91g:53066]. (see 
92b:58001) 

Altschiiler, Daniel (with Itzykson, Claude) Remarks on integration over Lie algebras. 
(French summary) 92b:17052 

Anker, Jean-Philippe L, Fourier multipliers on Riemannian symmetric spaces of the 
noncompact type. 92¢:43006 

Anoussis, Michalis Sur les caractéres des groupes de Lie résolubles. (Erglish summary) [On 
the characters of solvable Lie groups] 92i:22009 

Assem, Magdy Some results on unipotent orbital integrals. 92a:22014 

(Barut, A.O.) see Verdiev, I. A., 92i:22011 

Beerends, R. J. Chebyshev polynomials in several variables and the radial part of the 
Laplace-Beltrami operator. 92c:33006 

Bouaziz, Abderrazak Formule d’inversion d’intégrales orbitales tordues. [An inversion 
formula for twisted orbital integrals] 92m:22006 

Bray, William O. (with Solmon, Donald C.) Paley-Wiener theorems on rank one symmetric 
spaces of noncompact type. 92h:43015 

(Bump, Daniel) see Stade, Eric, 92a:11060 

Christ, Michael L? bounds for spectral multipliers on nilpotent groups. 92k:42017 

Cifuentes, Patricio (with Dorronsoro, José R.; Sueiro, Juan) Boundary tangential conver- 
gence on spaces of homogeneous type. 92j:42019 

Colzani, Leonardo (with Giulini, Saverio; Travaglini, Giancarlo; Vignati, Marco) Pointwise 
convergence of Fourier series on compact Lie groups. 92f:43009 

Corwin, Lawrence J. (with Greenleaf, Frederick P.) * Representations of nilpotent Lie 
groups and their applications. Part 1. 92b:22007 

Coulhon, Thierry (with Saloff-Coste, Laurent) Semi-groupes d’opérateurs et espaces 
fonctionnels sur les groupes de Lie. (English summary) [Operator semigroups and 
function spaces on Lie groups] 92c:47049 

Damek, Ewa (with Hulanicki, Andrzej) Boundaries for left-invariant subelliptic operators 
on semidirect products of nilpotent and abelian groups. 92a:22011 

Debiard, Amédée (with Gaveau, Bernard) Représentation intégrale de certaines séries 
de fonctions sphériques d’un systéme de racines BC. (English summary) [Integral 
representation of certain series of spherical functions of a BC root system] 924:33037 

Deitmar, Anton The Selberg trace formula and the Ruelle zeta function for compact 
hyperbolics. 92b:11034 

— Invariant operators on higher K-types. 92b:22013 

Delorme, Patrick Coefficients généralisés de séries principales sphériques et distributions 
sphériques sur Gc/Gp. [Generalized coefficients of spherical principal series and spherical 
distributions on Gc/Gp] 92j:22027 

Dorronsoro, José R. see Cifuentes, Patricio; et al., 92j:42019 

Farah, Slaim Ben (with Kamoun, Lotfi) Distributions coniques sur le céne des matrices de 
rang un et de trace nulle. (English summary) [Conical distributions on the cone of rank- 
one zero-trace matrices] 924:43010 

Fegan, Howard D. * Introduction to compact Lie groups. 92h:22001 

Feldman, Mark Mean oscillation, weighted Bergman spaces, and Besov spaces on the 
Heisenberg group and atomic decompositions. 92j:46045 

(Friedberg, Solomon) see Stade, Eric, 92a:11060 

Garofalo, Nicola (with Segala, Fausto) Estimations de la solution fondamentale pour 
Popérateur de la chaleur sur le groupe de Heisenberg et applications au critére de Wiener. 
(English summary) [Estimates of the fundamental solution for the heat operator on the 
Heisenberg group and applications to the Wiener criterion] 92d:58201 

Gaveau, Bernard see Debiard, Amédée, 924:33037 

Giulini, Saverio see Colzani, Leonardo; et al., 92f:43009 

Gonzalez, Fulton B. Bi-invariant differential operators on the Euclidean motion group and 
applications to generalized Radon transforms. 92¢:58144 

Greenleaf, Frederick P. see Corwin, Lawrence J., 92b:22007 

Gross, Kenneth I. (with Richards, Donald St. P.) Hypergeometric functions on complex 
matrix space. 92b:33040 

Hilgert, Joachim (with Olafsson, Gestur; Orsted, Bent) Hardy spaces on affine symmetric 
spaces. 92h:22030 

(Hofistein, Jeffrey) see Stade, Eric, 92a:11060 

Hulanicki, Andrzej see Damek, Ewa, 92a:22011 

Huntley, Jonathan Spectral multiplicity for Gl,(R). 92j:11049 

Inoue, Junko Fourier transforms for affine automorphism groups on Siegel domains. 
924:22005 

Itzykson, Claude see Altschiiler, Daniel, 92b:17052 

Jorgensen, Palle E.T. Integral representations for locally defined positive definite functions 
on Lie groups. 92h:43017 

Jurdjevic, V. Optimal control problems on Lie groups. 92m:49032 

Kamoun, Lotfi see Farah, Slaim Ben, 92d:43010 

Kowata, Atsutaka Spherical hyperfunctions on the tangent space of symmetric spaces. 
92h:43021 

Laquer, H. Turner Invariant affine connections on Lie groups. 92h:53031 


TOPOLOGICAL GROUPS, LIE GROUPS 


Mimachi, Katsuhisa see Noumi, Masatoshi, 92b:33049 

(Muro, Masakazu) see Sato, Mikio, 92c:32039 

Neeb, Karl-Hermann Objects dual to subsemigroups of groups. 92k:22003 

Nica, Alexandru Wiener-Hopf operators on the positive semigroup of a Heisenberg group. 
92d:47038 

Noumi, Masatoshi (with Mimachi, Katsuhisa) Big q-Jacobi polynomials, q-Hahn 
polynomials, and a family of quantum 3-spheres. 92b:33049 

Olafsson, Gestur see Hilgert, Joachim; et al., 92h:22030 

@rsted, Bent see Hilgert, Joachim; et al., 92h:22030 

Pesenson, I. Z. The Bernstein inequality in representations of Lie groups. (Russian) 
92j:43010 

Pini, Rita A multiplier theorem for H-type groups. 92i:43003 

Putko, B. A. see Alekseevskii, D. V., (92b:58001) 

Richards, Donald St. P. see Gross, Kenneth I., 92b:33040 

Robinson, Derek W. * Elliptic operators and Lie groups. 92m:58133 

Rohlfs, Jiirgen (with Speh, Birgit) A note on multiplicities of singular representations in the 
discrete spectrum of SL(2,R)/I’. 92a:22019 

Saal, Linda The Szegé operator on SU(N, 1). 92h:43020 

Saloff-Coste, Laurent (with Stroock, Daniel W.) Opérateurs uniformément sous-elliptiques 
sur les groupes de Lie. (English summary) [Uniformly subelliptic operators on Lie groups] 
92k:58264 

— see also Coulhon, Thierry, 92c:47049 

Sato, Mikio Theory of prehomogeneous vector spaces (algebraic part)—the English 
translation of Sato’s lecture from Shintani’s note. 92c:32039 

Segala, Fausto see Garofalo, Nicola, 92d:58201 

Sekiguchi, Jiré An Euler type integral formula for zonal spherical functions on 
SOo(m, 2)/SO(m) x SO(2). 92k:43009 

Shiga, Kiyoshi (with Takeuchi, Shigeru) Left invariant CR-structures on group manifolds. 
92:32015 

(Shintani, Takuro) see Sato, Mikio, 92c:32039 

Solmon, Donald C. see Bray, William O., 92h:43015 

Speh, Birgit see Rohlfs, Jiirgen, 92a:22019 

Stade, Eric On explicit integral formulas for GL(n, R)-Whittaker functions. 92a:11060 

Stroock, Daniel W. see Saloff-Coste, Laurent, 92k:58264 

Sueiro, Juan see Cifuentes, Patricio; et al., 92j:42019 

Takeuchi, Shigeru see Shiga, Kiyoshi, 92f:32015 

Travaglini, Giancarlo On central multipliers for compact Lie groups. 92a:43006 

— Asimple proof of the divergence of Fourier series on compact connected semisimple Lie 
groups. 92g:43002 

— see also Colzani, Leonardo; et al., 92f:43009 

Trombi, P.C. Uniform asymptotics for real reductive Lie groups. 92e:22024 

Verdiev, I. A. * Harmonic analysis on homogeneous spaces of SOo(1, 2). 92i:22011 

Vignati, Marco see Colzani, Leonardo; et al., 92f:43009 

(Vilenkin, N. Ya.) see Verdiev, I. A., 92i:22011 

Wehrhahn, R. F. Scattering influenced by symmetry. 92b:81222 

Williams, Floyd L. * Lectures on the spectrum of L?(I'\G). 92¢:11055 

Zarich, A. V. Inversion of integral transformations connected with nilpotent subgroups of 
complex semisimple Lie groups. (Russian) 92e:53102 


22E35 Analysis on p-adic Lie groups [see also 11R56] 


Assem, Magdy Some results on unipotent orbital integrals. 92a:22014 

Kajima, Yasuhiro Spherical functions on some p-adic classical groups. 92g:22025 

Murnaghan, Fiona Asymptotic behaviour of supercuspidal characters of p-adic GSp(4). 
92£:22016 

Voskuil, Harm p-adic symmetric domains. 92c¢:22024 


Items with secondary classifications in 22E35 

Dani, S.G. (with Shah, Riddhi) Contraction subgroups and semistable measures on p-adic 
Lie groups. 92h:43002 

Flicker, Yuval Z. On the symmetric square: twisted trace formula. 92g:11050 

— On distinguished representations. 92i:22019 

Freund, Peter G. O. Scattering on p-adic and on adelic symmetric spaces. 92h:81190 

Hironaka, Yumiko Spherical functions of Hermitian and symmetric forms over 2-adic 
fields. 92m:11044 

Leung, C. W. (with Plymen, Roger J.) L?-Fourier transform for reductive p-adic groups. 
92g:22015 

— see also Plymen, Roger J., 92g:22016 

Meurice, Yannick A discretization of p-adic quantum mechanics. 924:81040 

Plymen, Roger J. (with Leung, C. W.) Arithmetic aspect of operator algebras. 92g:22016 

— see also Leung, C. W., 92g:22015 

Shah, Riddhi see Dani, S. G., 92h:43002 

Zhuraviev, V.G. Local duality of Hecke operators of the symplectic and orthogonal groups. 
(Russian) 92¢:22039 


22E40 Discrete subgroups of Lie groups [see also 20Hxx, 32Nxx] 


Bishop, Christopher J. (with Steger, Tim) Three rigidity criteria for PSL(2,R). 92k:22018 

Cannon, J. W. (with Cooper, Daryl) A characterization of cocompact hyperbolic and finite- 
volume hyperbolic groups in dimension three. 92f:22017 

Cooper, Daryl see Cannon, J. W., 92f:22017 

Cowling, Michael Rigidity for lattices in semisimple Lie groups: von Neumann algebras and 
ergodic actions. 92g:22026 

Dani, S.G. (with Margulis, G. A.) Asymptotic behaviour of trajectories of unipotent flows 
on homogeneous spaces. 92g:22027 

Lubotzky, Alexander Lattices in rank one Lie groups over local fields. 92k:22019 

Macias, Enrique Sous-groupes denses des groupes de Lie nilp [Dense subgroups of 
nilpotent Lie groups] 92e:22021 

Margulis, G. A. * Discrete subgroups of semisimple Lie groups. 92h:22021 

— Compactness of minimal closed invariant sets of actions of unipotent groups. 92f:22018 








371 1992 


— see also Dani, S. G., 92g:22027 

McConnell, Mark Classical projective geometry and arithmetic groups. 92k:22020 

Raghunathan, M.S. A note on generators for arithmetic subgroups of algebraic groups. 
92j:22024 

Rapinchuk, A.S. Representations of groups of finite width. (Russian) 92h:22022 

Ratner, Marina Distribution rigidity for unipotent actions on homogeneous spaces. 
92a:22015 

Sauter, John Kurt, Jr. Isomorphisms among monodromy groups and applications to lattices 
in PU(1, 2). 92d:22016 

Soifer,G. A. Maximal subgroups of infinite index of lattices of semisimple Lie groups. 
(Russian) 92b:22010 

Steger, Tim see Bishop, Christopher J., 92k:22018 


Items with secondary classifications in 22E40 

Apanasov, B. N. Kobayashi conformal metric on manifolds, Chern-Simons and n- 
invariants. 92f:58027 

Ash, Avner (with Borel, Armand) Generalized modular symbols. 92e:11058 

Borel, Armand see Ash, Avner, 92e:11058 

Burger, Mare (with Sarnak, Peter) Ramanujan duals. II. 92m:22005 

— (with Li, Jian-Shu; Sarnak, Peter) Ramanujan duals and automorphic spectrum. 
92h:22023 

Corlette, Kevin Archimedean superrigidity and hyperbolic geometry. 92m:57048 

Corwin, Lawrence J. (with Greenleaf, Frederick P.) Uniform convergence and decay of 
Fourier series on compact nilmanifolds. 92e:22016 

Cygan, Jacek M. (with Richardson, Leonard F.) D-harmonic distributions and global 
hypoellipticity on nilmanifolds. 92h:22019 

Dani, S.G. Dense orbits of horospherical flows. 92g:22017 

Efrat, Isaac Automorphic spectra on the tree of PGL2. 92e:11054 

Efremov, A. V. Cell decompositions and the Novikov-Shubin invariants. (Russian) 
92m:58143 

Feighn, Mark (with Mess, Geoffrey) Conjugacy classes of finite subgroups of Kleinian 
groups. 92a:57042 

Fernandez, José L. The limit set of Fuchsian and Kleinian groups. 92b:30051 

Greenleaf, Frederick P. see Corwin, Lawrence J., 92e:22016 

Hoffmann, Werner Cuspidal functions and Diophantine approximation. 92h:11044 

Ito, Kiyoshi Classification of nilmanifolds M" (n < 6) adntitting Anosov diffeomorphisms. 
92j:58077 

Lai, K. F. Lefschetz numbers and unitary groups. 92a:11063 

Lee, Kyung Bai (with Raymond, Frank) Maximal torus actions on solvmanifolds and 
double coset spaces. 92h:57054 

Li, Jian-Shu see Burger, Marc; et al., 92h:22023 

Makarov, P. V. Almost regular partitionings of the four-dimensional Lobachevskii space. 
(Russian) 92b:52022 

Makarov, V.S. On the fundamental polyhedron of a discrete group of motions of the 
Lobachevskii space. (Russian) 92b:52023 

Margulis, G. A. Lie groups and ergodic theory. 92f:22008 

Masuda, Mikiya One aspect of an algebraic group action as seen by a topologist. (Japanese) 
924:57027 

Mess, Geoffrey see Feighn, Mark, 92a:57042 

Mok, Ngaiming Aspects of Kahler geometry on arithmetic varieties. 92j:32027 

Osborne, M. Scott (with Warner, Garth) The Selberg trace formula. VII. Application of the 
truncation process to the continuous spectrum. 92a:22018 

Pfeffer, Carolyn Primary summand functions on three-dimensional compact solvmanifolds. 
92k:22015 

Raymond, Frank see Lee, Kyung Bai, 92h:57054 

Reid, Alan W. Arithmeticity of knot complements. 92a:57011 

Richardson, Leonard F. see Cygan, Jacek M., 92h:22019 

Rohifs, Jiirgen Lefschetz numbers for arithmetic groups. 92d:11055 

— (with Speh, Birgit) Boundary contributions to Lefschetz numbers for arithmetic groups. 
I. 92d:11056 

Sarnak, Peter (with Xue, Xiao Xi) Bounds for multiplicities of automorphic representa- 
tions. 92h:22026 

— see also Burger, Marc; et al., 92h:22023 and 92m:22005 

Saté, Fumihiro The Maass zeta function attached to positive definite quadratic forms. 
92a:11100 

Schwermer, Joachim Cohomology of arithmetic groups, automorphic forms and L- 
functions. 92e:11059 

Speh, Birgit see Rohlfs, Jiirgen, 92d:11056 

Stuck, Garrett Cocycles of ergodic group actions and vanishing of first cohomology for S- 
arithmetic groups. 92f:22009 

Sury, B. Arithmetic groups and Salem numbers. 92m:11042 

Vesnin, A. Yu. Three-dimensional hyperbolic manifolds with a common fundamental 
polyhedron. (Russian) 92i:57017 

(Vinberg, E. B.) see Lie groups, their discrete subgroups, and invariant theory, 92k:14001 

Wang, Shu Ping Embedding of Flensted-Jensen modules in L?(I"\G) in the noncompact 
case. 92h:22035 

Wang, Xiang Dong The Hecke algebra on the cohomology of I'p(po). 92b:11035 

Warner, Garth see Osborne, M. Scott, 92a:22018 

Xue, Xiao Xi On the first Betti numbers of hyperbolic surfaces. 92g:22030 

— see also Sarnak, Peter, 92h:22026 

Zimmer, Robert J. On the algebraic hull of an automorphism group of a principal bundle. 
92£:57050 


Items listed otherwise than by author 


Lie groups, their discrete subgroups, and invariant theory * Lie groups, their discrete 
subgroups, and invariant theory. 92k:14001 


22E41 Continuous cohomology [see also 57R32, 57Txx, 58H10] 
Guichardet, A. Extensions and deformations of representations. 92e:22022 


22E Lie groups 


22E45 


Items with secondary classifications in 22E41 

Labesse, J.-P. Signature des variétés modulaires de Hilbert et representations diédrales. 
[Signature of Hilbert modular varieties and dihedral representations] 92d:11052 

Williams, Floyd L. * Lectures on the spectrum of L?(I'\G). 92¢:11055 


22E43 Structure and representation of the Lorentz group 


Abonyi, I. (with Bito, J. F.; Tar, J. K.) A quaternion representation of the Lorentz group for 
classical physical applications. 92d:22017 

(Barut, A.O.) see Verdiev, I. A., 92i:22011 

Bito, J. F. see Abonyi, L.; et al., 92d:22017 

Duviryak, A. A. A class of canonical realizations of the Poincaré group. (Russian) 
92d:22018 

Fillmore, Jay P. (with Springer, A.) Mobius groups over general fields using Clifford 
algebras associated with spheres. 92a:22016 

Rideau, Guy Nonlinear representations of Poincaré group in 2 + | dimensions. (see 
92£:81008) 

— Linear covariance for nonlinear formal representations of the Poincaré group in 2 + 1 
dimensions. 92¢:22025 

Shleinikova, M. A. see Vilenkin, N. Ya., 92j:22025 

Springer, A. see Fillmore, Jay P., 92a:22016 

Tar, J.K. see Abonyi, 1.; et al., 92d:22017 

Verdiev, 1. A. * Harmonic analysis on homogeneous spaces of SOo(1, 2). 92i:22011 

Vilenkin, N. Ya. (with Shleinikova, M. A.) Integral transformations connected with 
representations of the Lorentz group in a function space on a hyperboloid of one sheet. 
(Russian) 92j:22025 

— see also Verdiev, 1. A., 92i:22011 


Items with secondary classifications in 22E43 


van Dijk, G. On the regular embedding of representations of motion groups. 92b:22011 

Kuvshinov, V. 1. (with Nguen V’en Tkho) Finite local transformations of the Lorentz group. 
(Russian. English summary) 92c:81051 

Nguen V’en Tkho see Kuvshinov, V. I., 92c:81051 

Rodrigues, Waldyr A., Jr. see Zeni, J. R., 92b:83007 

Zeni, J. R. (with Rodrigues, Waldyr A., Jr.) The exponential of the generators of the 
Lorentz group and the solution of the Lorentz force equation. 92b:83007 


22E45_ Representations of Lie and linear algebraic groups over 
real fields: analytic methods {For the purely algebraic 
theory, see 20G05.} 


Burger, Mare (with Sarnak, Peter) Ramanujan duals. I]. 92m:22005 

— (with Li, Jian-Shu; Sarnak, Peter) Ramanujan duals and automorphic spectrum. 
92h:22023 

Casian, Luis G. Graded characters of induced representations. II. Classification of principal 
series modules for complex groups. 92g:22028 

du Cloux, Fokko Sur les représentations différentiables des groupes de Lie algébriques. [On 
differentiable representations of algebraic Lie groups] 92j:22026 

Delorme, Patrick Coefficients généralisés de séries principales sphériques et distributions 
sphériques sur Gc/Gp. [Generalized coefficients of spherical principal series and spherical 
distributions on Gc/Gp] 92j:22027 

van Dijk, G. On the regular embedding of representations of motion groups. 92b:22011 

Jacobsen, Jacob (with Stetker, Henrik) Ultra-irreducibility of induced representations. 
92h:22024 

Larsen, Michael Jeffrey (with Pink, Richard) Determining representations from invariant 
dimensions. 92¢:22026 

Li, Jian-Shu see Burger, Marc; et al., 92h:22023 

Lisiecki, Wojciech A classification of coherent state representations of unimodular Lie 
groups. 92h:22025 

Maekawa, Takayoshi On the unitary irreducible representations of SO(n, 1) and U(n, 1) in 
the scalar product with the nonintertwining operator. 92j:22028 

Magyar, Zoltén * Continuous linear representations. 92k:22021 

Miatello, R. J. (with Saal, Linda) Geometric construction of representations: the theorem 
of Borel-Weil. 92a:22017 

Olafsson, Gestur (with Orsted, Bent) Is there an orbit method for affine symmetric spaces? 
92¢e:22023 

Orsted, Bent see Olafsson, Gestur, 92e:22023 

Osborne, M. Scott (with Warner, Garth) The Selberg trace formula. VII. Application of the 
truncation process to the continuous spectrum. 92a:22018 

Ouzilou, R. * Représentation métaplectique. (French) [Metaplectic representation] 
92j:22029 

Pink, Richard see Larsen, Michael Jeffrey, 92c:22026 

Prado, Humberto E. Reflection positivity for unitary representations of Lie groups. 
92:22019 

Prélat, Daniel Local invariant functions for representations of SO() and Gl(n, R). 
92i:22012 

Pukanszky, L. On the characters of connected Lie groups. 92¢:22027 

— On a property of the quantization map for the coadjoint orbits of connected Lie groups. 
92j:22030 

Rohlfs, Jiirgen (with Speh, Birgit) A note on multiplicities of singular representations in the 
discrete spectrum of SL(2,R)/T’. 92a:22019 

Saal, Linda see Miatello, R. J., 92a:22017 

Sarnak, Peter (with Xue, Xiao Xi) Bounds for multiplicities of automorphic representa- 
tions. 92h:22026 

— see also Burger, Marc; et al., 92h:22023 and 92m:22005 

(Schmid, Wilfried) see Vogan, David A., Jr., 92e:22025 

Speh, Birgit see Rohlfs, Jiirgen, 92a:22019 

Stetker, Henrik see Jacobsen, Jacob, 92h:22024 





22E45 


Torasso, Pierre The Poisson-Plancherel formula for a quasi-algebraic group with abelian 
radical and reductive generic stabilizer. 92g:22029 

Trombi, P.C. Uniform asymptotics for real reductive Lie groups. 92e:22024 

Unterberger, André (with Unterberger, Julianne) Série principale et quantification. (English 
summary) [Principal series and quantization] 92c:22028 

Unterberger, Juli see Unterberger, André, 92c:22028 

Vogan, David A., Jr. * Representations of reductive Lie groups. 92e:22025 

Wallach, Nolan R. Limit multiplicities in L?(I\G). 92f:22020 

Warner, Garth see Osborne, M. Scott, 92a:22018 

Xue, Xiao Xi On the first Betti numbers of hyperbolic surfaces. 92g:22030 

— see also Sarnak, Peter, 92h:22026 

Yamashita, Hiroshi Embeddings of discrete series into induced representations of 
semisimple Lie groups. II. Generalized Whittaker models for SU(2, 2). 92j:22031 

Zhu, Chen-Bo Invariant distributions of classical groups. 92k:22022 





Items with secondary classifications in 22E45 


Anker, Jean-Philippe The spherical Fourier transform of rapidly decreasing functions. 
A simple proof of a characterization due to Harish-Chandra, Helgason, Trombi, and 
Varadarajan. 92d:22008 

Babutsidze, T. (with Machabeli, I.; Shavtvalishvili, Z.; Vashakmadze, I.) Basis of irre- 
ducible representations of orthogonal groups. 92d:22030 

Baston, Robert J. (with Eastwood, Michael G.) * The Penrose transform. 92j:32112 

Bergyelt, M. J. Defining equations for supergroup orbits in super Clifford modules. 
92a:17043 

Bien, Frédéric V. * D-modules and spherical representations. 92f:22025 

Cleveland, Michael G. (with Pritchett, Tim) Horizontal supersymmetry and Weyl character 
formulae. 92m:58129 

Davis, K. M. (with Gilbert, J. E.; Kunze, R. A.) Elliptic differential operators in harmonic 
analysis. I. Generalized Cauchy-Riemann systems. 92h:22020 

Eastwood, Michael G. see Baston, Robert J., 92j:32112 

Fabec, R.C. Homogeneous distributions on the Heisenberg group and representations of 
SU(2, 1). 92c:22020 

Gadella, Manuel (with Martin, Miguel Angel; Nieto, Luis M.; del Olmo, Mariano A.) The 
Stratonovich-Weyl correspondence for one-dimensional kinematical groups. 92m:81125 

Gilbert, J. E. see Davis, K. M.; et al., 92h:22020 

Gromov, N. A. (with Man‘ko, V.1.) The Jordan-Schwinger representations of Cayley-Klein 
groups. I. The orthogonal groups. 92f:22033 

— (with Man‘ko, V.1.) The Jordan-Schwinger representations of Cayley-Klein groups. II. 
The unitary groups. 92f:22034 

— (with Man‘ko, V.I.) The Jordan-Schwinger representations of Cayley-Klein groups. III. 
The symplectic groups. 92f:22035 

Guillemin, Victor (with Uribe, Alejandro) Reduction and the trace formula. 92h:58191 

Hashimoto, Takashi (with Ogura, Kazunori; Okamoto, Kiyosato; Sawae, Ryuichi; 
Yasunaga, Hisatoshi) Kirillov-Kostant theory and Feynman path integrals on coadjoint 
orbits. I. 92f:58070 

Knapp, A. W. * Representations of real reductive groups. 92h:22032 

Kobayashi, Toshiyuki Singular unitary representations and discrete series for indefinite 
Stiefel manifolds U(p, q;F)/U(p — m,q;F). 92f:22023 

Konno, Yasuko Unitary representations with nonzero multiplicities in L7(I\G). 92d:11044 

Kostant, Bertram A formula of Gauss-Kummer and the trace of certain intertwining 
operators. 92i:22013 

Kunze, R. A. see Davis, K. M.; et al., 92h:22020 

Kuratsuji, Hireshi (with Takada, Ken-Ichi) Canonical phase, topological invariant and 
representation theory. 92b:58079 

Labesse, J.-P. The present state of the trace formula. 92e:11055 

Lawton, Wayne M. Tight frames of compactly supported affine wavelets. 92a:81068 

Li, Jian-Shu Theta lifting for unitary representations with nonzero cohomology. 92f:22024 

Machabeli, I. see Babutsidze, T.; et al., 92d:22030 

Man‘ko, V.I. see Gromov, N. A., 92f:22033; 92f:22034 and 92£:22035 

Margulis, G. A. Lie groups and ergodic theory. 92f:22008 

Martin, Miguel Angel see Gadella, Manuel; et al., 92m:81125 

Michor, Peter W. The moment mapping for unitary representations. 92i:58019 

Murase, Atsushi (with Sugano, Takashi) Whittaker-Shintani functions on the symplectic 
group of Fourier-Jacobi type. 92k:11052 

Muro, Masakazu Invariant hyperfunctions on regular prehomogeneous vector spaces of 
commutative parabolic type. 92d:32043 

Neretin, Yu. A. Extension of representations of classical groups to representations of 
categories. (Russian) 92j:22015 

Nieto, Luis M. see Gadella, Manuel; et al., 92m:81125 

Niwa, Shinji On generalized Whittaker functions on Siegel’s upper half space of degree 2. 
92d:11050 

Ogura, Kazunori see Hashimoto, Takashi; et al., 92f:58070 

Okamoto, Kiyosato see Hashimoto, Takashi; et al., 92f:58070 

del Olmo, Mariano A. see Gadella, Manuel; et al., 92m:81125 

Osborne, M. Scott (with Warner, Garth) The Selberg trace formula. VIII. Contribution 
from the continuous spectrum. 92¢:11056 

Pritchett, Tim see Cleveland, Michael G., 92m:58129 

Proskurin, N. V. On some discrete subgroups in the exceptional group G2(C) in connection 
with Eisenstein series. (Russian. English summary) 92g:11053 

Przebinda, Tomasz Characters, dual pairs, and unipotent representations. 92d:22021 

Robinson, Derek W. Elliptic differential operators on Lie groups. 92d:22013 

Saal, Linda The Szegé operator on SU(N, 1). 92h:43020 

Sawae, Ryuichi see Hashimoto, Takashi; et al., 92f:58070 

Shavtvalishvili, Z. see Babutsidze, T.; et al., 92d:22030 

Sugano, Takashi see Murase, Atsushi, 92k:11052 

Takada, Ken-Ichi see Kuratsuji, Hiroshi, 92b:58079 

Tran Dao Dong (with Tran Vui) On the procedure of multidimensional quantization. 
92¢:22031 

Tran Vui see Tran Dao Dong, 92c:22031 


TOPOLOGICAL GROUPS, LIE GROUPS 


1992 372 


Tret'yakova, N. N. Expansion of a field of quantities in an n-dimensional Euclidean space 
in spherical functions of a group of motions of this space. (Russian. English summary) 
92b:33032 

Uribe, Alejandro see Guillemin, Victor, 92h:58191 

Vashakmadze, I. see Babutsidze, T.; et al., 92d:22030 

Wang, Shu Ping Embedding of Flensted-Jensen modules in L?(I"\G) in the noncompact 
case. 92h:22035 

Warner, Garth see Osborne, M. Scott, 92e:11056 

Yasunaga, Hisatoshi see Hashimoto, Takashi; et al., 92f:58070 


22E46 Semisimple Lie groups and their representations 


Binegar, B. (with Zierau, R.) Unitarization of a singular representation of SO(p, q). 
92h:22027 

Bouaziz, Abderrazak Formule d’inversion d’intégrales orbitales tordues. [An inversion 
formula for twisted orbital integrals] 92m:22006 

Braden, H. W. Integral pairings and Dynkin indices. 92f:22021 

Brylinski, Ranee Kathryn (with Kostant, Bertram) Nilpotent orbits, normality and 
Hamiltonian group actions. 92k:22023 

Chang, Jen-Tseh Asymptotics of invariant spherical distributions. 92h:22028 

Cohen, Arjeh M. (with Ruitenburg, G. C. M.) Generating functions and Lie groups. 
92£:22022 

Denisova, G. V. A connection between various bases of a representation space of class | of 
the group SU(n, 1). (Russian) 92h:22029 

Faraut, Jacques Espaces symétriques ordonnés et algébres de Volterra. [Ordered symmetric 
spaces and Volterra aigebras] 92d:22019 

Goodman, Roe Whittaker transforms on real-rank one Lie groups. 92e:22026 

de Gosson, Maurice Maslov indices on the metaplectic group Mp(). (French summary) 
92e:22027 

Groza, V. A. On representations of the symplectic group. (see 92b:00047) 

Herz, Carl Representations of Lie groups by contact transformations. I. Compact groups. 
(French summary) 92e:22028 

Hilgert, Joachim (with Olafsson, Gestur; Orsted, Bent) Hardy spaces on affine symmetric 
spaces. 92h:22030 

Itzkowitz, Gerald L. (with Rothman, Sheldon; Strassberg, Helen) A note on the real 
representations of SU(2,C). 92h:22031 

Knapp, A. W. * Representations of real reductive groups. 92h:22032 

Kobayashi, Toshiyuki Singular unitary representations and discrete series for indefinite 
Stiefel manifolds U(p, g;F)/U(p — m,q;F). 92£:22023 

Kostant, Bertram The vanishing of scalar curvature and the minimal representation of 
$O(4, 4). 92g:22031 

— A formula of Gauss-Kummer and the trace of certain intertwining operators. 92i:22013 

— (with Sahi, Siddhartha) The Capelli identity, tube domains, and the generalized Laplace 
transform. 92h:22033 

— see also Brylinski, Ranee Kathryn, 92k:22023 

Kupczytiski, M. On the representations of contracted Lie groups. (see 92:81008) 

Li, Jian-Shu Theta lifting for unitary representations with nonzero cohomology. 92f:22024 

Maekawa, Takayoshi Relation between the multiplier representations of U(n, 1) and 
SO(n, 1), and the explicit form of differential operators. 92c:22029 

Manocha, H. L. (with Sahai, Vivek) On models of irreducible unitary representations of 
compact Lie group SU(2) involving special functions. 92k:22024 

Matsuki, Toshihiko (with Oshima, Toshio) Embeddings of discrete series into principal 
series. 92d:22020 

McKay, W. G. (with Moody, Robert V.; Patera, J.; Pianzola, Arturo) The 785 conjugacy 
classes of rational elements of finite order in Eg. 92a:22020 

Moody, Robert V. see McKay, W. G.; et al., 92a:22020 

Olafsson, Gestur see Hilgert, Joachim; et al., 92h:22030 

Onishchik, A. L. see Vinberg, E. B., 92i:22014 

@rsted, Bent see Hilgert, Joachim; et al., 92h:22030 

Oshima, Toshio see Matsuki, Toshihiko, 92d:22020 

Patera, J. (with Rodriguez, Miguel A.; Zaoui, M.) On the intersections of A, subgroups in 
the exceptional simple Lie groups E¢, E7 and Ex. 92g:22032 

— see also McKay, W. G.; et al., 92a:22020 

Pianzola, Arturo see McKay, W. G.; et al., 92a:22020 

Przebinda, Tomasz Characters, dual pairs, and unipotent representations. 92d:22021 

Rodriguez, Miguel A. see Patera, J.; et al., 92g:22032 

Rossmann, W. Invariant eigendistributions on a semisimple Lie algebra and homology 
classes on the conormal variety. I. An integral formula. 92g:22033 

— Invariant eigendistributions on a semisimple Lie algebra and homology classes on the 
conormal variety. II. Representations of Weyl groups. 92g:22034 

Rothman, Sheldon see Itzkowitz, Gerald L.; et al., 92h:22031 

Rozenblyum, A. V. (with Rozenblyum, L. V.) Matroms of representations of the orthogonal 
group. (Russian) 92c:22030 

Rozenblyum, L. V. see Rozenblyum, A. V., 92c:22030 

Ruitenburg, G.C.M. see Cohen, Arjeh M., 92£:22022 

Sahai, Vivek see Manocha, H. L., 92k:22024 

Sahi, Siddhartha see Kostant, Bertram, 92h:22033 

Strassberg, Helen see Itzkowitz, Gerald L.; et al., 92h:22031 

Tran Dao Dong (with Tran Vui) On the procedure of multidimensional quantization. 
92c:22031 

Tran Vui see Tran Dao Dong, 92c:22031 

Vinberg, E. B. (with Onishchik, A. L.) *% Cemunap no rpynnam Jin n anre6pan4eckum 
rpynnam. (Russian) [A seminar on Lie groups and algebraic groups] 92i:22014 

Vogan, David A., Jr. Dixmier algebras, sheets, and representation theory. 92h:22034 

Wang, Shu Ping Embedding of Flensted-Jensen modules in L?(I'\G) in the noncompact 
case. 92h:22035 

Yamashita, Hiroshi Embeddings of discrete series into induced representations of 
semisimple Lie groups. I. General theory and the case of SU(2, 2). 92c:22032 

Zaoui, M. see Patera, J.; et al., 92g:22032 





373 1992 


Zarkhin, Yu. G. Spectra of operators in finite-dimensional representations of simple Lie 
groups and Lie algebras. 92b:22012 
Zierau, R. see Binegar, B., 92h:22027 


Items with secondary classifications in 22E46 

Bang-Jensen, Jesper On unitarity of spherical representations. 92g:22035 

Barbasch, Dan Representations with maximal primitive ideal. 92j:17006 

— (with Glazebrook, James F.; Téth, G.) Harmonic maps between complex projective 
spaces. 92f:58045 

Barut, A. O. (with Phillips, Edward) Indecomposable representations of Lie algebras and 
Lie groups. 92c:17013 

Bunke, Ulrich The spectrum of the Dirac operator on the hyperbolic space. 92h:58196 

Burger, Marc (with Sarnak, Peter) Ramanujan duals. II. 92m:22005 

Capparelli, Stefano The Jordan canonical form in some 6-groups. 92m:20040 

Collingwood, David H. Jacquet modules for semisimple Lie groups having Verma module 
filtrations. 92¢:22033 

— Orbits and characters associated to highest weight representations. 92g:22036 

Cowling, Michael (with Dooley, Anthony H.; Koranyi, Adam; Ricci, Fulvio) H-type groups 
and Iwasawa decompositions. 92e:22017 

Dani, S. G. A characterization of the Cauchy-type distributions on boundaries of semisim- 
ple groups. 92h:43001 

De Mari, Filippo (with Shayman, Mark A.) Lie algebraic generalizations of Hessenberg 
matrices and the topology of Hessenberg varieties. (see 92b:93006) 

Dooley, Anthony H. see Cowling, Michael; et al., 92e:22017 

Fabec, R.C. Homogeneous distributions on the Heisenberg group and representations of 
SU(2, 1). 92¢:22020 

Farah, Slaim Ben (with Kamoun, Lotfi) Distributions coniques sur le céne des matrices de 
rang un et de trace nulle. (English summary) [Conical distributions on the cone of rank- 
one zero-trace matrices] 92d:43010 

Fegan, Howard D. (with Steer, B.; Whiteway, L.) Spectral symmetry of the Dirac operator 
for compact and noncompact symmetric pairs. 92e:58217 

Flaschka, Hermann (with Haine, Luc) Torus orbits in G/P. 92¢:14047 

Frajria, Pierluigi Méseneder Derived functors of unitary highest weight modules at 
reduction points. 92a:22021 

Glazebrook, James F. see Barbasch, Dan; et al., 92f:58045 

Guillemin, Victor (with Lerman, Eugene; Sternberg, Shlomo) On the Kostant multiplicity 
formula. 92£:58058 

Haine, Luc see Flaschka, Hermann, 92¢:14047 

Hein, Wolfgang * Einfihrung in die Struktur- und Darstellungstheorie der klassischen 
Gruppen. (German) [Introduction to the structure and representation theory of the 
classical groups] 92g:22001 

Helminck, A. G. Tori invariant under an involutorial automorphism. I. 92a:20047 

Howe, Roger (with Umeda, Toru) The Capelli identity, the double commutant theorem, 
and multiplicity-free actions. 92j:17004 

Huang, Jing-Song The unitary dual of the universal covering group of GL(n, R). 92f:22026 

Jorgensen, Palle E.T. Extensions and index of Hermitian representations. 92b:46086 

Kamoun, Lotfi see Farah, Slaim Ben, 92d:43010 

Koranyi, Adam see Cowling, Michael; et al., 92e:22017 

Kuga, Michio Invariants and Hodge cycles. II. 92c:11061 

Larsen, Michael Jeffrey (with Pink, Richard) Determining representations from invariant 
dimensions. 92c:22026 

Lerman, Eugene see Guillemin, Victor; et al., 92f:58058 

McGovern, William M. Dixmier algebras and the orbit method. 92f:17010 

Neeb, Karl-Hermann Globality in semisimple Lie groups. (French summary) 92h:17005 

Okada, Soichi A Robinson-Schensted-type algorithm for SO(2n,C). 92k:05133 

Olafsson, Gestur (with @rsted, Bent) Is there an orbit method for affine symmetric spaces? 
92e:22023 

Orsted, Bent see Olafsson, Gestur, 92e:22023 

Phillips, Edward see Barut, A. O., 92c:17013 

Pink, Richard see Larsen, Michael Jeffrey, 92c:22026 

Ricci, Fulvio see Cowling, Michael; et al., 92e:22017 

Rossmann, W. Nilpotent orbital integrals in a real semisimple Lie algebra and representa- 
tions of Weyl groups. 92c¢:22022 

Sano, Shigeru Produit de convolution sur les espaces symétriques semi-simples. (English 
summary) [Convolution on semisimple symmetric spaces] 92a:22013 

— Distributions sphériques invariantes sur les espaces symétriques semi-simples G,/G. 
[Invariant spherical distributions on the semisimple symmetric spaces G./G] 92g:22024 

Sarnak, Peter see Burger, Marc, 92m:22005 

Shayman, Mark A. see De Mari, Filippo, (92b:93006) 

Sijatki, Dj. All SL(3,R) ladder representations. 92a:22026 

Starkov, A. N. Horospherical flows on homogeneous finite-volume spaces. (Russian) 
92£:58131 

Steer, B. see Fegan, Howard D.; et al., 92e:58217 

Sternberg, Shlomo see Guillemin, Victor; et al., 92f:58058 

Toth, G. see Barbasch, Dan; et al., 92f:58045 

Umeda, Téru see Howe, Roger, 92j:17004 

Unterberger, André (with Unterberger, Julianne) Série principale et quantification. (English 
summary) [Principal series and quantization] 92c:22028 

Unterberger, Julianne see Unterberger, André, 92c:22028 

Vargas, Jorge Horospheres in pseudo-symmetric spaces. 92¢:22017 

Wallach, Nolan R. Some applications of group representations. 92a:22002 

— Limit multiplicities in L?(I\G). 92f:22020 

Whiteway, L. see Fegan, Howard D.; et al., 92e:58217 

Wildberger, N. J. The moment map of a Lie group representation. 92f:58064 

Wolf, Joseph A. Observability and Harish-Chandra modules. (see 92b:93007) 

Yamashita, Hiroshi Embeddings of discrete series into induced representations of 
semisimple Lie groups. II. Generalized Whittaker models for SU(2, 2). 92j:22031 

Yokota, Ichiro Realizations of involutive automorphisms o and G’ of exceptional linear Lie 
groups G. I. G = G2, F, and Eg. 92j:22019a 


22E Lie groups 


22ES0 


— Realizations of involutive automorphisms o and G’ of exceptional linear Lie groups G. II. 
G= E>. 92j:22019b 

— Realizations of involutive automorphisms o and G? of exceptional linear Lie groups G. 
Ill. G= Eg. 92j:22019¢ 

Zarkhin, Yu. G. Actions of semisimple Lie groups and orbits of Cartan subgroups. 
92k:57068 

Zorich, A. V. Inversion of integral transformations connected with nilpotent subgroups of 
complex semisimple Lie groups. (Russian) 92e:53102 


22E47 Representations of Lie and real algebraic groups: algebraic 
methods (Verma modules, etc.) [see also 17B35] 


Bang-Jensen, Jesper On unitarity of spherical representations. 92g:22035 

Baston, Robert J. Conformally invariant operators: singuiar cases. 92k:22025 

Bien, Frédéric V. %& D-modules and spherical representations. 92f:22025 

Collingwood, David H. Jacquet modules for semisimple Lie groups having Verma module 
filtrations. 92¢:22033 

— Orbits and characters associated to highest weight representations. 92g:22036 

Davidson, Mark G. (with Enright, Thomas J.; Stanke, Ronald J.) Differential operators and 
highest weight representations. 92¢:22034 

Deitmar, Anton Invariant operators on higher K-types. 92b:22013 

Eastwood, Michael G. (with Rice, John William) Erratum: “Conformally invariant 
differential operators on Minkowski space and their curved analogues” [Comm. Math. 
Phys. 109 (1987), no. 2, 207-228; MR 89d:22012]. 92k:22026 

Enright, Thomas J. see Davidson, Mark G.; et al., 92c:22034 

Frajria, Pierluigi Méseneder Derived functors of unitary highest weight modules at 
reduction points. 92a:22021 

Huang, Jing-Song The unitary dual of the universal covering group of GL(n,R). 92f:22026 

Khaoua, Abderrahim Transformation de Poisson et irréductibilité de certaines 
représentations induites non unitaires. (English summary) [Poisson transformation and 
irreducibility of certain nonunitary induced representations] 92a:22022 

Matumoto, Hisayosi Whittaker modules associated with highest weight modules. 92f:22027 

— Correction to: “Whittaker modules associated with highest weight modules” [Duke Math. 
J. 60 (1990), no. 1, 59-113; MR 92f:22027]. 92:22028 

Murray, Michael K. (with Rice, John William) A geometric realisation of the Lepowsky 
Bernstein Gel’fand Gel’fand resolution. 92¢:22029 

Neretin, Yu. A. On operators that connect the holomorphic representations of different 
groups. (Russian) 92¢:22030 

Ohta, Takuya Classification of admissible nilpotent orbits in the classical real Lie algebras. 
92j:22032 

Procesi, Claudio (with Schwarz, Gerald W.) Defining orbit spaces by inequalities. 
92e:22031 

Rajeswari, K. N. Standard monomial theoretic proof of PRV conjecture. 92k:22027 

Rice, John William see Murray, Michael K., 92e:22029 and Eastwood, Michael G., 
92k:22026 

Schwarz, Gerald W. see Procesi, Claudio, 92e:22031 

Stanke, Ronald J. see Davidson, Mark G.; et al., 92¢:22034 

Tirao, Juan A. K-invariants for semisimple Lie groups. 92¢:22035 


Items with secondary classifications in 22E47 


Baston, Robert J. Verma modules and differential conformal invariants. 92a:58151 

Brylinski, Ranee Kathryn Twisted ideals of the nullcone. 92e:17007 

Casian, Luis G. Kazhdan-Lusztig multiplicity formulas for Kac-Moody algebras. (French 
summary) 92b:17038 

Ginzburg, V. A. Perverse sheaves and C*-actions. 92d:14013 

Irving, Ronald S. BGG algebras and the BGG reciprocity principle. 92d:17011 

Kobayashi, Toshiyuki Singular unitary representations and discrete series for indefinite 
Stiefel manifolds U(p, q; F)/U(p — m,q;F). 92f:22023 

Lee, Dong Hoon (with Wu, Ta Sun) Rationality of representations of linear Lie groups. 
92£:22010 

McGovern, William M. Dixmier algebras and the orbit method. 92f:17010 

Williams, Floyd L. * Lectures on the spectrum of L7(I'\G). 92¢:11055 

Wa, Ta Sun see Lee, Dong Hoon, 92f:22010 

Yur'ev, D. V. An explicit form of the vertex operators in two-dimensional SL(2, C)-invariant 
field theory. 92e:81071 


22E50 Representations of Lie and linear algebraic groups over 
local fields 


Arthur, James A local trace formula. 92f:22029 

Asmuth, Charles (with Keys, C. David) Supercuspidal representations of GSp, over a local 
field of residual characteristic 2. 1. 92d:22022 

Aubert, A.-M. Description de la correspondance de Howe en termes de classification de 
Kazhdan-Lusztig. [Description of the Howe correspondence in terms of the Kazhdan- 
Lusztig classification] 92h:22036 

Barthel, Laure Local Howe correspondence for groups of similitudes. 92g:22037 

Blasco, Laure Paires duales réductives en caractéristique 2. (English summary) [Reductive 
dual pairs in characteristic 2] 92d:22023 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) p-adic Whittaker functions on 
the metaplectic group. 92d:22024 

Bushnell, Colin J. Induced representations of locally profinite groups. 92d:22025 

Flicker, Yuval Z. (with Kazhdan, David; Savin, Gordan) Explicit realization of a metaplec- 
tic representation. 92¢:22036 

Friedberg, Solomon see Bump, Daniel; et al., 92d:22024 

Gross, Benedict H. (with Prasad, Dipendra) Test vectors for linear forms. 92k:22028 

Hakim, Jeff Distinguished p-adic representations. 92¢:22037 

Helminck, G. F. An irreducible smooth nonadmissible representation. 92c:22038 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92d:22024 





22ES50 


Joyner, David On twisted orbital integral identities for PGL(3) over a p-adic field. 
92d:22026 

— Simple local trace formulas for unramified p-adic groups. 92m:22007 

Kazhdan, David The minimal representation of Ds. 92i:22015 

— see also Flicker, Yuval Z.; et al., 92c:22036 

Keys, C. David see Asmuth, Charles, 92d:22022 

Kutzko, Philip (with Manderscheid, David) Erratum: “On the supercuspidal representa- 
tions of GLy, N the product of two primes” [Ann. Sci. Ecole Norm. Sup. (4) 23 (1990), 
no. 1, 39-88; MR 91b:22025]. 92b:22014 

— (with Pantoja, José E.) The restriction to SL2 of a supercuspidal representation of GL. 
924:22027 

Langlands, Robert P. (with Shelstad, D.) Descent for transfer factors. 92i:22016 

Manderscheid, David see Kutzko, Philip, 92b:22014 

Morris, Lawrence Some tamely ramified supercuspidal representations of symplectic 
groups. 92i:22017 

Murnaghan, Fiona Asymptotic behaviour of supercuspidal characters of p-adic GL; and 
GLy: the generic unramified case. 92a:22023 

Pantoja, José E. see Kutzko, Philip, 92d:22027 

Prasad, Dipendra see Gross, Benedict H., 92k:22028 

Reeder, Mark Old forms on GL,,. 92i:22018 

Savin, Gordan see Flicker, Yuval Z.; et al., 92c:22036 

Shelstad, D. see Langlands, Robert P., 92i:22016 

Tadi¢, Marke Notes on representations of non-Archimedean SL(n). 92k:22029 

Waldspurger, Jean-Loup Sur les intégrales orbitales tordues pour les groupes linéaires: 
un lemme fondamental. [On twisted orbital integrals for linear groups: a fundamental 
lemma] 92k:22030 

Zhuraviev, V.G. Local duality of Hecke operators of the symplectic and orthogonal groups. 
(Russian) 92¢:22039 


Items with secondary classifications in 22E50 


Arthur, James Unipotent automorphic representations: global motivation. 92a:11059 

Assem, Magdy Some results on unipotent orbital integrals. 92a:22014 

Bushnell, Colin J. Gauss sums and local constants for GL(N). 92c:11138 

Flicker, Yuval Z. Explicit realization of a higher metaplectic representation. 92k:11048 

— On distinguished representations. 92i:22019 

— On the symmetric square: definitions and lemmas. 92g:11051 

— On the symmetric square: applications of a trace formula. 92g:11052 

Jacquet, Hervé Représentations distinguées pour le groupe orthogonal. (English summary) 
[Distinguished representations for the orthogonal group] 92h:11041 

Langlands, Robert P. Representation theory: its rise and its role in number theory. 
92d:11053 

Leung, C. W. see Plymen, Roger J., 92g:22016 

Li, Wen-Ch’ing Winnie The role of Fourier transform in correspondences of representations 
of degree two algebras. 92h:11042 

Murnaghan, Fiona Asymptotic behaviour of supercuspidal characters of p-adic GSp(4). 
92£:22016 

Ochiai, Hiroyuki see Satd, Fumihiro, 92j:11095 

Plymen, Roger J. (with Leung, C. W.) Arithmetic aspect of operator algebras. 92g:22016 

Reimann, Harry Representations of tamely ramified p-adic division and matrix algebras. 
92h:11103 

Satd, Fumihiro (with Ochiai, Hiroyuki) Castling transforms of prehomogeneous vector 
spaces and functional equations. 92j:11095 

Shokranian, Salahoddin L?-cohomology and Hecke operators. 92i:11056 

Stuck, Garrett Cocycles of ergodic group actions and vanishing of first cohomology for S- 
arithmetic groups. 92f:22009 

Waldspurger, Jean-Loup Correspondances de Shimura et quaternions. [Shimura correspon- 
dences and quaternions] 92g:11054 


22E55 Representations of Lie and linear algebraic groups over 
global fields and adéle rings [see also 20G05] 


Flicker, Yuval Z. On distinguished representations. 92i:22019 
Lai, K. F. On Arthur’s class expansion of the relative trace formula. 92k:22031 


Items with secondary classifications in 22E55 


Arthur, James (with Gelbart, Stephen) Lectures on automorphic L-functions. 92j:11045 

Berndt, Rolf Joachim The continuous part of L?(I/\G/) for the Jacobi group G/. 
92i:11054 

Bump, Daniel (with Friedberg, Solomon; Hoffstein, Jeffrey) Eisenstein series on the 
metaplectic group and nonvanishing theorems for automorphic L-functions and their 
derivatives. 92e:11053 

Clozel, Laurent Représentations galoisiennes associées aux représentations automorphes 
autoduales de GL(n). [Galois representations associated with self-dual automorphic 
representations of GL(n)] 92i:11055 

Flicker, Yuval Z. On the symmetric square: twisted trace formula. 92g:11050 

— On the symmetric square: applications of a trace formula. 92g:11052 

Friedberg, Solomon see Bump, Daniel; et al., 92e:11053 

Gelbart, Stephen see Arthur, James, 92j:11045 

Ginzburg, David A Rankin-Selberg integral for the adjoint representation of GL3;. 92f:11070 

Hoffstein, Jeffrey see Bump, Daniel; et al., 92e:11053 

Jacquet, Hervé (with Ye, Yangbo) Une remarque sur le changement de base quadratique. 
(English summary) [A remark on the quadratic base change] 92j:11046 

— Représentations distinguées pour le groupe orthogonal. (English summary) [Distinguished 
representations for the orthogonal group] 92h:11041 

Langlands, Robert P. Representation theory: its rise and its role in number theory. 
924:11053 

Li, Jian-Shu Kloosterman-Selberg zeta functions on complex hyperbolic spaces. 92k:11055 

Meeglin, C. Orbites unipotentes et spectre discret non ramifié: le cas des groupes classiques 
déployés. [Unipotent orbits and nonramified discrete spectrum: the case of split classical 
groups] 924:11054 


TOPOLOGICAL GROUPS, LIE GROUPS 


1992 374 


Murase, Atsushi L-functions attached to Jacobi forms of degree n. II. Functional equation. 
92h:11038 

Ochiai, Hiroyuki see Satd, Fumihiro, 92j:11095 

Satd, Fumihiro (with Ochiai, Hiroyuki) Castling transforms of prehomogeneous vector 
spaces and functional equations. 92j:11095 

Shokranian, Salahoddin L?-cohomology and Hecke operators. 92i:11056 

— The twisted L?-Lefschetz number of Hecke operators. 92m:11050 

Tamir, Boaz On L-functions and intertwining operators for unitary groups. 92j:11047 

Ye, Yangbo see Jacquet, Hervé, 92j:11046 


22E60 Lie algebras of Lie groups {For the algebraic theory of Lie 
algebras, see 17Bxx.} 


Flaschka, Hermann (with Haine, Luc) Variétés de drapeaux et réseaux de Toda. (English 
summary) [Flag manifolds and Toda lattices] 92c:22040 

Haine, Luc see Flaschka, Hermann, 92c:22040 

Lukaé, I. * O pasnoxennu anre6pbi rpynnbi 18HxKeHHH NPOH3BONHON YeTLIPeXMepHOn 
KBajipaTH4HO opm. (Russian) [Decomposition of the algebra of the group of motions 
of an arbitrary four-dimensional quadratic form] 92i:22020 

Schlosser, Hartmut A method for the computation of Clebsch-Gordan coefficients. 
92g:22038 

Schmiidgen, Konrad Noncommutative moment problems. 92f:22030 

Szczyrba, Igor On advantages of SO(8). 92e:22032 

Ziegler, Francois On the Kostant convexity theorem. 92j:22033 


Items with secondary classifications in 22E60 


Barannik, A. F. see Fushchich, V. 1; et al., 92b:58248 

Barbasch, Dan Representations with maximal primitive ideal. 92j:17006 

Cowling, Michael (with Dooley, Anthony H.; Koranyi, Adam; Ricci, Fulvio) H-type groups 
and Iwasawa decompositions. 92¢:22017 

Della Selva, A. (with Sciarrino, A.) Realization of exceptional superalgebras in terms of 
fermion-boson creation-annihilation operators. 92m:81076 

Dooley, Anthony H. see Cowling, Michael; et al., 92e:22017 

Fushchich, V. I. (with Barannik, A. F.; Moskalenko, Yu. D.) Exact solutions of the 
d’Alembert and Liouville equations in the pseudo-Euclidean space R22. I. (Russian. 
Ukrainian summary) 92b:58248 

Ginzburg, Viktor L. (with Weinstein, Alan) Lie-Poisson structure on some Poisson Lie 
groups. 92h:17022 

Gruber, Bruno (with Lenczewski, Romuald) Finite-dimensional indecomposable represen- 
tations of the Poincaré algebra. 92c:81049 

Guillemin, Victor (with Lerman, Eugene; Sternberg, Shlomo) On the Kostant multiplicity 
formula. 92f:58058 

Hein, Wolfgang * Einfiihrung in die Struktur- und Darstellungstheorie der klassischen 
Gruppen. (German) [Introduction to the structure and representation theory of the 
classical groups] 92g:22001 

Higgins, Philip J. (with Mackenzie, Kirill) Algebraic constructions in the category of Lie 
algebroids. 92e:58241 

Kirillov, A. A. The flag manifold for the Virasoro-Bott group. 92m:58008 

Koranyi, Adam see Cowling, Michael; et al., 92e:22017 

Lenczewski, Romuald see Gruber, Bruno, 92c:81049 

Lerman, Eugene see Guillemin, Victor; et al., 92f:58058 

Mackenzie, Kirill see Higgins, Philip J., 92e:58241 

Moskalenko, Yu. D. see Fushchich, V. L.; et al., 92b:58248 

Nakanishi, Nobutada On the structure of infinitesimal automorphisms of linear Poisson 
manifolds. I, II. 92b:58073 

Neeb, Karl-Hermann Globality in semisimple Lie groups. (French summary) 92h:17005 

Podkolzin, G. B. Infinitesimal algebras for the hypercomplex system SO(4)//SO(2). 
(Russian. Ukrainian summary) 92b:22005 

— The infinitesimal object of a hypercomplex system generated by double cosets, and 
nonlinear differential equations. (Russian) 92k:22009 

Pukanszky, L. On a property of the quantization map for the coadjoint orbits of connected 
Lie groups. 92j:22030 

Repka, J. see Rowe, David J., 92m:81099 

Ricci, Fulvio see Cowling, Michael; et al., 92e:22017 

Rossmann, W. Invariant eigendistributions on a semisimple Lie algebra and homology 
classes on the conormal variety. I. An integral formula. 92g:22033 

— Invariant eigendistributions on a semisimple Lie algebra and homology classes on the 
conormal variety. II. Representations of Weyl groups. 92g:22034 

Rowe, David J. (with Repka, J.) Vector-coherent-state theory as a theory of induced 
representations. 92m:81099 

Sciarrino, A. see Della Selva, A., 92m:81076 

Shukuzawa, Osamu see Yokota, Ichiro, 92m:17020 

Sternberg, Shlomo see Guillemin, Victor; et al., 92f:58058 

Vergne, Michele Polynémes de Joseph et représentation de Springer. [Joseph polynomials 
and Springer representation] 92c:17014 

Weinstein, Alan see Ginzburg, Viktox L., 92h:17022 

Yokota, Ichiro (with Shukuzawa, Osamu) Automorphisms of order 4 of the simply 
connected compact Lie group Es. 92m:17020 


22E65 Infinite-dimensional Lie groups and their Lie algebras 
[see also 17B65, 58B25, 58H05] 


Abbati, Maria Cristina see Cirelli, Renzo; et al., (92c:00017) 

Albertin, Uwe K. (with Morrison, Harry L.) Representations of the diffeomorphism group 
describing an infinite Bose gas in the presence of ideal vortex filaments. 92e:22033 

— The diffeomorphism group and flat principal bundles. 92k:22032 

Cirelli, Renzo (with Abbati, Maria Cristina; Mania, Alessandro) On infinite-dimensional 
Lie groups. (see 92c:00017) 

Dowker, J.S. Central extensions of sphere groups. 92j:22034 





375 1992 


Gelfand, I. M. (with Graev, M.1.) Principal representations of the group U(oo). 92k:22033 

Goldin, Gerald A. On the distinguishability of particles described by unitary representations 
of Diff(M). 92e:22034 

Golenishcheva-Kutuzova, M. 1. Irreducible unitary representations of the group Diff(S?, w) 
of functional dimension two. (Russian) 92j:22035 

Graev, M.I. see Gelfand, I. M., 92k:22033 

Hashizume, Michihiko Irreducible unitary representations of the group of maps with values 
in a free product group. 92d:22028 

Ismagilov, R.S. Representations of certain infinite-dimensional groups. 92f:22031 

— Spherical functions on a group of volume-preserving diffeomorphisms. (Russian) 
925:22036 

Kirillov, A. A. La géométrie des moments pour les groupes de difféomorphismes. [The 
geometry of moments for groups of diffeomorphisms] 92f:22032 

Kosyak, A. V. A criterion for the irreducibility and equivalence of regular Gaussian 
representations of the group of finite upper-triangular matrices of infinite order. 
(Russian) 

La, HoSeong (with Nelson, Philip; Schwarz, Albert) Virasoro model space. 92¢:22041 

Leslie, Joshua A. Some integrable subalgebras of the Lie algebras of infinite-dimensional Lie 
groups. 92k:22034 

Mania, Alessandro see Cirelli, Renzo; et al., (92c:00017) 

Mickelsson, Jouko (with Rajeev, S.G.) Deformation of current algebras in 3 + 1 dimen- 
sions. 92¢:22042 

— Sato’s universal Grassmannian and group extensions. 92h:22037 

Morrison, Harry L. see Albertin, Uwe K., 92e:22033 

Natarajan, Loki (with Rodriguez-Carrington, Enriqueta; Wolf, Joseph A.) Differentiable 
structure for direct limit groups. 92k:22035 

Nelson, Philip see La, HoSeong; et al., 92c:22041 

Neretin, Yu. A. Almost invariant structures and related representations of the diffeomor- 
phism group of a circle. 92d:22029 

— Infinite-dimensional groups, their mantles, trains, and representations. 92h:22038 

Ol'shanskii, G. I. Unitary representations of infinite-dimensional pairs (G, K) and the 
formalism of R. Howe. 92¢:22043 

— Representations of infinite-dimensional classical groups, limits of enveloping algebras, 
and Yangians. 92g:22039 

— On semigroups related to infinite-dimensional groups. 92g:22040 

— Caractéres généralisés de U(0o) et fonctions intérieures. (English summary) [Generalized 
characters of U(oo) and inner functions] 92h:22039 

Pickrell, Doug Mackey analysis of infinite classical motion groups. 92g:22041 

Rajeev, S.G. see Mickelsson, Jouko, 92c:22042 

Rodriguez-Carrington, Enriqueta see Natarajan, Loki; et al., 92k:22035 

Schwarz, Albert see La, HoSeong; et al., 92¢:22041 

Vershik, A.M. Metagonal groups of finite and infinite dimension. 92¢:22044 

Wolf, Joseph A. see Natarajan, Loki; et al., 92k:22035 


Items with secondary classifications in 22E65 


Aldaya, Victor (with Navarro-Salas, José) New solutions of the Hamiltonian and diffeo- 
morphism constraints of quantum gravity from a highest weight loop representation. 
924:83035 

— (with Navarro-Salas, José; Navarro, Miguel) Dynamics on the Virasoro group, 2D gravity 
and hidden symmetries. 92h:81140 

Aratyn, H. (with Nissimov, E.; Pacheva, S.) Coset construction of superstrings via the 
coadjoint orbit method. 92a:81137 

Bose, Samir Kumar (with Bruce, S. A.) Algebras for the two-sphere and the three-sphere 
groups of compact simple Lie groups. 92b:17037 

Bruce, S. A. see Bose, Samir Kumar, 92b:17037 

Chrastina, Jan On formal theory of differential equations. III. (Czech summary) 92g:58137 

Cianci, Roberto Infinitely generated supermanifolds, super Lie groups and homogeneous 
supermanifolds. 92h:58013 

Dowker, J.S. Diffeomorphisms of the 3-sphere. 92d:58007 

— see also Wolski, A., 92b:17036 

Figueirido, Francisco (with Ramos, Eduardo) Fock space representations of the algebra of 
diffeomorphisms of the n-torus. 92b:17035 

Golenishcheva-Kutuzova, M. I. Generic orbits of the diffeomorphism group of a two- 
manifold in the space 6;,, of regular momenta. 92k:58038 

Grabowski, Marek P. (with Tze, Chia Hsiung) Classical gauge theories on the coadjoint 
orbits of infinite-dimensional groups. 92a:81083 

Helminck, G. F. A geometric construction of solutions of matrix hierarchies. 92k:58113 

Hong, D. K. (with Rajeev, S.G.) Universal Teichmiiller space and Diff S'/S'. 92g:32042 

Hou, Bo Yu see Li, Wei’, 92d:83032 

K Sch bach, Yvette Champs affines de multivecteurs sur les groupes de Lie. 
(English summary) [Affine multivector fields on Lie groups] 92d:17023 

Kostant, Bertram (with Kumar, Shrawan) T-equivariant K-theory of generalized flag 
varieties. 92c:19006 

Kumar, Shrawan see Kostant, Bertram, 92c:19006 

Li, Wei’ (with Hou, Bo Yu) The Riemann-Hilbert problem approach to a representation of 
the Virasoro group. II. 92d:83032 

Magyar, Zoltén %* Continuous linear representations. 92k:22021 

Martin, Christiane (with Piard, Alain) On a class of representations of the Virasoro algebra 
and a conjecture of Kac. 92e:17037 

Matsuo, Yutaka Free field realization of two-dimensional quantum gravity in light-cone 
gauge and Green functions on the torus. 92a:81183 

Mickelsson, Jouko Fock bundles, commutator anomalies, and representations of groups of 
gauge transformations. 92j:81334 

Mohammedi, Noureddine General super-Virasoro construction on affine ¥. 92i:81100 

Navarro, Miguel see Aldaya, Victor; et al., 92h:81140 

Navarro-Salas, José see Aldaya, Victor, 92d:83035 and 92h:81140 

Nissimov, E. see Aratyn, H.; et al., 92a:81137 

Pacheva, S. see Aratyn, H.; et al., 92a:81137 

Payne, Kevin R. Smooth tame Fréchet algebras and Lie groups of pseudodifferential 
operators. 92a:58140 








22E Lie groups 


22E67 


Piard, Alain see Martin, Christiane, 92e:17037 

Potting, Robertus Quantization of Diff S'/S', Liouville theory, and the Kac relations. 
92k:58093 

Radul, A.O. Superstring Schwartz [Schwarz] derivative and the Bott cocycle. 92f:17035 

Rajeev, S.G. see Hong, D. K., 92g:32042 

Ramos, Eduardo see Figueirido, Francisco, 92b:17035 

Tze, Chia Hsiung see Grabowski, Marek P., 92a:81083 

Verdiev, 1. A. Representations of the supercurrent group SL(2.R) and dual resonance 
models. 92e:81070 

Wolski, A. (with Dowker, J.S.) Area-preserving diffeomorphisms of the tetrahedron. 
92b:17036 

Yur'ev, D. V. The vocabulary of geometry and harmonic analysis on the infinite-dimensional 
manifold Diff,(S')/S'. 92:58010 


22E67 Loop groups and related constructions, group-theoretic 
treatment [see also 58D05] 


Baaquie, Belal E. Functional-diffe 
cohomology. 92g:22042 

Blau, Matthias Chern-Simons quantum mechanics, supersymmetry, and symplectic 
invariants. 92j:22037 

Ginzburg, V. A. Sheaves on a loop group, and Langlands duality. (Russian) 92e:22035 

Harnad, J. Hamiltonian group actions on super loop spaces. 92k:22036 

Khimshiashvili, G. N. On the generalized Riemann-Hilbert problem with coefficients in a 
compact Lie group. 92m:22008 

Perret, Robert E. Path integral derivation of characters for Kac-Moody groups. 92g:22043 

Pressley, Andrew N. (with Segal, Graeme B.) * 'pynmpi neteap. (Russian) [Loop groups] 
92a:22024 

(Radul, A.O.) see Pressley, Andrew N., 92a:22024 

Segal, Graeme B. see Pressley, Andrew N., 92a:22024 

Watling, Neil A. Temperature states on loop groups, boson-fermion correspondence, and a 
determinant identity. 92e:22036 

(Wilson, George) see Pressley, Andrew N., 92a:22024 

(Zelevinskii, A. V.) see Pressley, Andrew N., 92a:22024 


Items with secondary classifications in 22E67 

Adams, Malcolm R. (with Harnad, J.; Hurtubise, Jacques) Dual moment maps into loop 
algebras. 92a:58056 

— (with Harnad, J.; Hurtubise, Jacques) Coadjoint orbits, spectral curves and Darboux 
coordinates. 92k:58095 

Aldaya, Victor (with Klauder, John R.; Navarro-Salas, José) Group quantization of the 
affine field model for gravity and nonstandard representations of the SU(1, 1)-Kac-Moody 
group. 92¢:83025 

Alekseev, A. Yu. (with Shatashvili, S. L.) From geometric quantization to conformal field 
theory. 92e:81216 

Bandelloni, Giuseppe Gauge theories on loop groups. 92g:81196 

Bogolyubov, N. N. (with Mikityuk, I. V.; Prikarpat-skii, A. K.) Verma modules over the 
quantum Lie algebra of currents on the circle. (Russian) 92a:17042 

Bose, Samir Kumar (with Bruce, S. A.) Algebras for the two-sphere and the three-sphere 
groups of compact simple Lie groups. 92b:17037 

Bruce, S. A. see Bose, Samir Kumar, 92b:17037 

Delius, Gustav W. The N = 2 super-Kac-Moody algebra and the WZW-model in (2, 0) 
superspace. 92a:81202 

Halpern, M. B. (with Yamron, Jonathan P.) A generic affine-Virasoro action. 92c:81162 

Harnad, J. Uses of infinite-dimensional moment maps. (see 92f:81008) 

— (with Kupershmidt, Boris A.) Super loop groups, Hamiltonian actions and super Virasoro 
algebras. 92e:58092 

— (with Hurtubise, Jacques) Generalized tops and moment maps to loop algebras. 
92m:58060 

— see also Adams, Malcolm R.; et al., 92a:58056 and 92k:58095 

Hu, Hong Liang Topological ¢ models with loop groups as the target manifolds. 92k:58041 

Hurtubise, Jacques see Adams, Malcolm R.; et al., 92a:58056; 92k:58095 and Harnad, J., 
92m:58060 

Khimshiashvili, G. N. Topology of the general Riemann-Hilbert boundary value probl 
(Russian. English and Georgian summaries) 92a:58134 

Killingback, T. P. Two-dimensional topological gravity, topological matter and intersection 
theory on moduli space. 92e:58037 

Klauder, John R. see Aldaya, Victor; et al., 92e:83025 

Kono, Akira’ (with Kozima, Kazumoto) Homology of the Kac-Moody groups. II. 
92b:55008 

— (with Kozima, Kazumoto) Homology of the Kac-Moody groups. III. 92m:55010 

Kozima, Kazumoto see Kono, Akira! , 92b:55008 and 92m:55010 

Kupershmidt, Boris A. see Harnad, J., 92e:58092 “os 

Lakshmibai, Venkatramani Standard monomial theory for SL,. 92f:14052 

Leslie, Joshua A. A path functor for Kac-Moody Lie algebras. 92g:17034 

Malliavin, Paul see Malliavin-Brameret, Marie-Paule, 92e:58035 

Malliavin-Brameret, Marie-Paule (with Malliavin, Paul) Mesures quasi invariantes sur 
certains groupes de dimension infinie. (English summary) [Quasi-invariant measures on 
infinite-dimensional groups] 92e:58035 

Mickelsson, Jouko Sato’s universal Grassmannian and group extensions. 92h:22037 

Mikityuk, I. V. see Bogolyubov, N. N.; et al., 92a:17042 

Misra, Kailash C. (with Putcha, Mohan S.) Projections in Kac-Moody Lie algebras. 
92m:17040 

Morita, Jun Kac-Moody groups over fields with trivial K2. 92k:19002 

Navarro-Salas, José see Aldaya, Victor; et al., 92e:83025 

Negreiros, Caio J.C. Harmonic maps into periodic flag manifolds and into loop groups. 
92g:58025 

Neretin, Yu. A. Almost invariant structures and related representations of the diffeomor- 
phism group of a circle. 92d:22029 

Prikarpat-skii, A. K. see Bogolyubov, N. N.; et al., 92a:17042 





ial realization of the Kac-Moody algebra and group 








22E67 


Putcha, Mohan S. see Misra, Kailash C., 92m:17040 

Segal, Graeme B. Two-dimensional conformal field theories and modular functors. 
92b:81192 

— The geometry of the KdV equation. 92e:58102 

Shatashvili, S. L. see Alekseev, A. Yu., 92e:81216 

Takasaki, Kanehisa Symmetries of hyper-Kahler (or Poisson gauge field) hierarchy. 
92b:53072 

Vershik, A.M. Metagonal groups of finite and infinite dimension. 92¢:22044 

Wilkins, David R. The Grassmann manifold of a C*-algebra. 92b:46116 

Yamron, Jonathan P. see Halpern, M. B., 92c:81162 


22E70 Applications of Lie groups to physics; explicit 
representations [see also 81R05, 81R10] 


Babutsidze, T. (with Machabeli, I.; Shavtvalishvili, Z.; Vashakmadze, I.) Basis of irre- 
ducible representations of orthogonal groups. 92d:22030 

Burdet, G. (with Perrin, Martine Jacqueline) Proposition de structures géométriques 
“amplifiées” pour le traitement des systémes de points matériels. (English summary) [A 
proposal for “amplified” geometric structures for the treatment of material-point systems] 
92¢:22045 

Cassinelli, Gianni (with Lahti, Pekka J.) Nontransitive imprimitivity systems for the 
Galilei group. 92a:22025 

Chen, Jin Quan (with Wu, Xiong Biao; Gao, Mei Juan) * Tables of the SU(mn) > 
SU(m) x SU(n) coefficients of fractional parentage. 92m:22009 

Couture, Michel Josaphat (with Sharp, R. T.) Irreducible embeddings and polynomial 
tensors. (see 92f:81008) 

Flath, Daniel E. (with Towber, Jacob) Tensor operators. I. The concept of a coherent tensor 
operator. 92d:22031 

Gao, Mei Juan see Chen, Jin Quan; et al., 92m:22009 

Gromov, N. A. (with Man‘ko, V. I.) The Jordan-Schwinger representations of Cayley-Klein 
groups. I. The orthogonal groups. 92f:22033 

— (with Man’ko, V.1.) The Jordan-Schwinger representations of Cayley-Klein groups. II. 
The unitary groups. 92f:22034 

— (with Man‘ko, V.1I.) The Jordan-Schwinger representations of Cayley-Klein groups. III. 
The symplectic groups. 92f:22035 

de Guise, Hubert (with Sharp, R. T.) Polynomial states for SU(3) and SO(5) ina 
Demazure-Tits basis. 92h:22040 

Krause, Jorge Quantum kinematic invariants of nonabelian Lie groups. 92g:22044 

Lahti, Pekka J. see Cassinelli, Gianni, 92a:22025 

Li, Bo Fu see Wu, Z. Y.; et al., 92k:22038 

Lukdé, I. * Wnrerpambi 28HxKeHHA Ha rpyiiie HHBApHAHTHOCTH MHTepBasla TPeXMepHbIX 
mpoctpaxcts. (Russian) [Integrals of motion on the invariance group of an interval of 
three-dimensional spaces] 92k:22037 

Machabeli, I. see Babutsidze, T.; et al., 92d:22030 

Man’ko, V. I. see Gromov, N. A., 92£:22033; 92f:22034 and 92f:22035 

Perrin, Martine Jacqueline see Burdet, G., 92c:22045 

Petkova, V. B. (with Sotkov, Galen; Todorov, Ivan T.) Local field representations of the 
conformal group and their physical interpretation. 92g:22045 

Rzewuski, Jan Matrix manifolds and symmetry breaking. 92e:22037 

Saller, H. On the quantized representations of U(1) x SU(2) as time-space model. 
92g:22046 

Sharp, R. T. see de Guise, Hubert, 92h:22040 and Couture, Michel Josaphat, (92f:81008) 

Shavtvalishvili, Z. see Babutsidze, T.; et al., 92d:22030 

Sijatki, Dj. All SL(3,R) ladder representations. 92a:22026 

Sotkov, Galen see Petkova, V. B.; et al., 92g:22045 

Sun, Chang Pu see Wu, Z. Y.; et al., 92k:22038 

Todorov, Ivan T. see Petkova, V. B.; et al., 92g:22045 

Towber, Jacob see Flath, Daniel E., 92d:22031 

Vashakmadze, I. see Babutsidze, T.; et al., 92d:22030 

Wa, Xiong Biao see Chen, Jin Quan; et al., 92m:22009 

Wa, Z. Y. (with Sun, Chang Pu; Zhang, Lin Zhi; Li, Bo Fu) SO(2/ + 1) >? > SO; (3) in 
group chains for L-S coupling. 92k:22038 

Zhang, Lin Zhi see Wa, Z. Y.; et al., 92k:22038 


Items with secondary classifications in 22E70 

Abonyi, I. (with Bito, J. F.; Tar, J. K.) A quaternion representation of the Lorentz group for 
classical physical applications. 92d:22017 

Aizawa, N. see Ui, Haruo, 92b:81082 

Aldrovandi, R. (with Galetti, D.) On the structure of quantum phase space. 92a:81081 

Aleksovskii, V. A. (with Lukatskii, A.M.) Nonlinear dynamics of ferromagnet magnetiza- 
tion and the motion of a generalized rigid body with a current group. (Russian. English 
summary) 92g:82128 

Ali, S. Twareque Coherent states and square integrable group representations: a general 
setting. 92d:81056 

Alisauskas, Sigitas Orthogonalization coefficients for the Elliott-Draayer states of the two 
parametric irreps of SU(m) > SO(n). 92b:81050 

Alvarez-Estrada, R. Fernandez String-like model for internal rotations in linear polyatomic 
molecules: new dynamical variables. 92h:81202 

Alvarez-Gaumé, Luis (with Labastida, J. M. F.; Ramallo, A. V.) A note on perturbative 
Chern-Simons theory. 92b:81110 

Aratyn, H. (with Nissimov, E.; Pacheva, S.) On the group theoretical meaning of conformal 
field theories in the framework of coadjoint orbits. 92a:81164 

Bailey, Toby N. (with Singer, Michael A.) Twistors, massless fields and the Penrose 
transform. 92b:81065 

Bars, Itzhak Free fields and new cosets of current algebras. 92f:81045 

Batalin, I. A. (with Lavrov, P. M.; Tyutin, I. V.) An Sp(2) covariant formalism of a 
generalized canonical quantization with second-class constraints. 92i:81330 

Bhansali, Vineer Induced representations for SIM(d — 1, 1) and scaling of massless fields in 
even-dimensional spaces. 92a:81060 

Biedenharn, L. C. see Truini, Piero; et al., 92i:81091 and Le Blanc, Richard; et al., 92:81071 


TOPOLOGICAL GROUPS, LIE GROUPS 


Bincer, Adam M. Weight bases for orthogonal groups. (see 92f:81008) 

Bito, J. F. see Abonyi, I.; et al., 92d:22017 

Blahut, Richard E. (with Miller, Willard, Jr.; Wilcox, Calvin H.) * Radar and sonar. Part I. 
92h:35171 

Bonatsos, Dennis * Interacting boson models of nuclear structure. 92e:81294 

Borisov, Adriyan V. On the subgroups of the isometry group in the three-dimensional 
Gallilean space. 92j:22016 

Brihaye, Y. (with Delaunois, F.; Nuyts, J.) Minimization of Landau potentials invariant 
under O(3). II. 92b:81067 

Cao, Yu Fang see Pan, Feng, 92k:81049 

Cappuccio, R. (with Guadagnini, E.) On braid statistics. 92g:20058 

Carter, Brandon (with Henriksen, R. N.) A systematic app h to self-similarity in 
Newtonian space-time. 92m:70001 

Cassinelli, Gianni see Truini, Piero; et al., 92i:81091 

Castaiios, O. (with Frank, Alejandro; Lopez-Pefia, R.) Noether’s theorem and dynamical 
groups in quantum mechanics. 92a:81048 

Cerveré, José M. (with Lejarreta, Juan D.) SO(2, 1) invariant systems: squeezing and 
topological phases. 92j:81372 

Chen, Jin Quan (with Hecht, K. T.; Feng, Da Hsuan) Vector coherent state theory in new 
perspective: a hybrid mapping from fermion to fermion-boson space. 92i:81113 

Delaunois, F. see Brihaye, Y.; et al., 92b:81067 

Dolan, Brian P. BRST symmetry and quantum mechanics on homogeneous spaces. 
92b:81095 

Duviryak, A. A. A class of canonical realizations of the Poincaré group. (Russian) 
92d:22018 

Ellinas, Demosthenes Studies in Lie and quantum algebras. 92a:81073 

— Phase operators via group contraction. 92b:81084 

Emch, Gérard G. Geometric quantization: regular representations and modular algebras. 
(see 92g:81003) 

Fan, Hong Yi! (with Weng, Hai Guang) Normally ordered Bose-Fermi operator realization 
of the SU(N/M) group. 92b:81051 

Fatyga, B. W. (with Kostelecky, V. Alan; Nieto, Michael Martin; Truax, D. Rodney) 
Supercoherent states. 92e:81080 

Feng, Da Hsuan see Chen, Jin Quan; et al., 92i:81113 and Zhang, Wei Min; et al., 92i:81120 

Ferreira, L. A. (with Londe, R. M.) Solutions to higher Hamiltonians in the Toda 
hierarchies. 92a:58064 

Figueroa, Héctor (with Gracia-Bondia, José M.; Varilly, Joseph C.) Moyal quantization 
with compact symmetry groups and noncommutative harmonic analysis. 92a:81096 

Fivel, Daniel I. Geometry underlying no-hidden-variable theorems. 92¢:81011 

Flato, Moshé (with Fronsdal, Christian) Three-dimensional singletons. 92g:81133 

Forte, Stefano (with Jolicceur, Thierry) Relativistic quantum field theory with fractional 
spin and statistics. 92i:81344 

Frank, Alejandro (with Leyvraz, F.; Wolf, Kurt Bernardo) Potential group in optics: the 
Maxwell fish-eye system. 92i:78003 

— see also Castaiios, O.; et al., 92a:81048 

(Friedman, Avner) see Blahut, Richard E.; et al., 92h:35171 

Fronsdal, Christian see Flato, Moshé, 92g:81133 

Galetti, D. see Aldrovandi, R., 92a:81081 

Gambini, Rodolfo (with Griego, J.) A geometric approach to the Makeenko-Migdal 
equations. 92i:81182 

Gao, Xiao Chun see Xu, Jing Bo; et al., 92i:81119 

Giavarini, G. (with Onofri, E.) Vector coherent states and nonabelian gauge structures in 
quantum mechanics. 92i:81116 

Gilmore, Robert see Zhang, Wei Min; et al., 92i:81120 

Ginocchio, Joseph N. A new identity for some six-j symbols. 92m:81079 

Giveon, Amit (with Malkin, N.; Rabinovici, E.) On discrete symmetries and fundamental 
domains of target space. 92a:81112 

Goldin, Gerald A. On the distinguishability of particles described by unitary representations 
of Diff(M). 92¢:22034 

Gracia-Bondia, José M. see Figueroa, Héctor; et al., 92a:81096 

Griego, J. see Gambini, Rodolfo, 92i:81182 

Gruber, Bruno see Nomura, Toshio; et al., 92e:22001 

Grundland, Alfred M. (with Martina, L.) On fluid dynamics equations from the point of 
view of the symmetry group reduction and Riemann invariants methods. 92g:35012 

Guadagnini, E. see Cappuccio, R., 92g:20058 

Giinaydin, Murat (with Scalise, R. J.) Unitary lowest weight representations of the 
noncompact supergroup OSp(2m*/2n). 92b:17047 

Hannabuss, Keith C. (with Weiss, Winfried R. E.) The structure and representations of a 
C*-algebra associated to the super-Poincaré group. 92a:46063 

Hecht, K. T. see Chen, Jin Quan; et al., 92i:81113 and Le Blanc, Richard; et al., 92j:81071 

Heidenreich, W. F. Tensor product of finite and infinite representations in physics. 
92i:81083 

— Unitarizable massless fields of higher order and higher spin. 92j:81082 

Henriksen, R. N. see Carter, Brandon, 92m:70001 

Hirayama, Minoru SO(2, 1) structure of the generalized harmonic oscillator. 92i:81084 

Hoffmann, P. Generalization of Stevens’ operator-equivalent method. 92b:81052 

Hogreve, H. (with Miller, Werner'; Potthoff, Jiirgen; Schrader, Robert) A Feynman-Kac 
formula for the quantum Heisenberg ferromagnet. I. 92e:82011 

Jackiw, Roman Representations of the two-dimensional conformal group. (see 92b:81011) 

Joliceeur, Thierry see Forte, Stefano, 92i1:81344 

Judd, B.R. (with Lister, G. M. S.; Suskin, M. A.) Some 6-j symbols for symplectic and 
orthogonal groups by Cerkaski’s method. 92h:81057 

Kantseryavichyus, A. Yu. Simple sums of 6j-coefficients. (Russian. English and Lithuanian 
summaries) 92f:81043 

Kawai, Toshiharu Group of paths, holonomy groups and nonintegrable phase factors in 
Poincaré gauge theory of gravity. 92a:83049 

Keller, Jaime (with Rodriguez-Romo, Suemi) Multivectorial representation of Lie groups. 
92e:15034 

— (with Rodriguez-Romo, Suemi) Multivectorial generalization of the Cartan map. 
92i:81111 








377 1992 


Kent, R. D. see Ponnapalli, P. S.; et al., 92c:81052 

Klauder, John R. (with Streater, R. F.) A wavelet transform for the Poincaré group. 
92g:81075 

Klein, Abraham (with Walet, Niels R.) Generalization of the quantized Bogoliubov-Valatin 
transformation and relation to the method of the vector coherent state: the case of U(3). 
92¢:81064 

Klink, W. H. (with Ton-That, Tuong) Invariant theory of the block diagonal subgroups of 
GL(n, C) and generalized Casimir operators. 92m:17032 

Kocik, J. (with Rzewuski, Jan) On projections of spinor spaces onto Minkowski space. 
92h:81067 

Kostelecky, V. Alan see Fatyga, B. W.; et al., 92e:81080 

Krause, Jorge Nonabelian group quantization and quantum kinematic invariants of some 
noncompact Lie groups. 92h:81059 

Kuvshinov, V.I. (with Nguen V’en Tkho) Finite local transformations of the Poincaré 
group. (Russian. English summary) 92i:81086 

Labastida, J. M. F. see Alvarez-Gaumé, Luis; et al., 92b:81110 

Landsman, N. P. (with Linden, Noah) The geometry of inequivalent quantizations. 
921:81154 

Lasher, Gordon Winding numbers for SU(3) lattice gauge fields. 92¢:81213 

Lavrov, P.M. see Batalin, I. A.; et al., 92i:81330 

Le Blanc, Richard (with Hecht, K. T.; Biedenharn, L.C.) Screening and vertex operators 
for u(n). 92j:81071 

Lejarreta, Juan D. see Cerveré, José M., 92j:81372 

Leyvraz, F. see Frank, Alejandro; et al., 92i:78003 

Linden, Noah see Landsman, N. P., 92i:81154 

Lister, G. M.S. see Judd, B. R.; et al., 92h:81057 

Londe, R. M. see Ferreira, L. A., 92a:58064 

Lopez-Peiia, R. see Castaiios, O.; et al., 92a:81048 

Lukatskii, A.M. see Aleksovskii, V. A., 92g:82128 

Madore, J. The commutative limit of a matrix geometry. 92b:58021 

Maekawa, Takayoshi On the unitary irreducible representations of SO(n, 1) and U(n, 1) in 
the scalar product with the nonintertwining operator. 92j:22028 

Malkin, N. see Giveon, Amit; et al., 92a:81112 

Martina, L. see Grundland, Alfred M., 92g:35012 

McKay, W. G. (with Moody, Robert V.; Patera, J.; Pianzola, Arturo) The 785 conjugacy 
classes of rational elements of finite order in Eg. 92a:22020 

Miller, Willard, Jr. see Blahut, Richard E.; et al., 92h:35171 

Mirman, R. Poincaré algebra massless representations. 92¢:81059 

Moody, Robert V. see McKay, W. G.; et al., 92a:22020 

Miller, Werner’ see Hogreve, H.; et al., 92e:82011 

Maurenzi, Romain Invariant scalar product for massless fields and indecomposable 
representations in the 3 + 2 de Sitter space. 92f:81117 

Nguen V’en Tkho see Kuvshinov, V. I., 92i:81086 

Niemi, Antti J. (with Pasanen, Pirjo) Orbit geometry, group representations and topologi- 
cal quantum field theories. 92h:58036 

Nieto, Michael Martin see Fatyga, B. W.; et al., 92e:81080 

Nissimov, E. see Aratyn, H.; et al., 92a:81164 

Nomura, Toshio (with Ramek, Michael; Gruber, Bruno) Programs for symmetry adaption 
coefficients for semisimple symmetry chains: the completely symmetric representations. 
92e:22001 

Nuyts, J. see Brihaye, Y.; et al., 92b:81067 

Onofri, E. see Giavarini, G., 92i:81116 

Oteo, J. A. The Baker-Campbell-Hausdorff formula and nested commutator identities. 
92b:17055 

Pacheva, S. see Aratyn, H.; et al., 92a:81164 

Pan, Feng (with Cao, Yu Fang) Matrix representations of SO,,2 in an SO, x SO? basis and 
some isoscalar factors for SO,42 > SO, x SO. 92k:81049 

Papadopoulos, George J. Group actions and nonlinear sigma models. 92a:81114 

Pasanen, Pirjo see Niemi, Antti J., 92h:58036 

Patera, J. see McKay, W. G.; et al., 92a:22020 

Perret, Robert E. Path integral derivation of characters for Kac-Moody groups. 92g:22043 

Pianzola, Arturo see McKay, W. G.; et al., 92a:22020 

Ponnapalli, P.S. (with Schlesinger, Mordechay; Kent, R. D.) U(m) generator matrix 
elements using orthogonal Gel’fand basis states. 92¢:81052 

Potthoff, Jiirgen see Hogreve, H.; et al., 92e:82011 

Qian, Tie Zheng see Xu, Jing Bo; et al., 92i:81119 

Quesne, C. Generalized vector coherent state theory of sp(2NV, R) vector operators and of 
sp(2N, R) > u(N) reduced Wigner coefficients. 92j:81073 

Rabinovici, E. see Giveon, Amit; et al., 92a:81112 

Raichev, P. P. (with Roussev, R. P.; Smirnov, Yu. F.) Generating function for the 
decomposition U(6) > SU(3) x SU(2) > SO(3). 92m:81081b 

— see also Roussev, R. P.; et al., 92m:81081a 

Ramallo, A. V. see Alvarez-Gaumé, Luis; et al., 92b:81110 

Ramek, Michael see Nomura, Toshio; et al., 92e:22001 

Repka, J. see Rowe, David J., 92m:81099 

Rideau, Guy Linear covariance for nonlinear formal representations of the Poincaré group 
in 2+ 1 dimensions. 92¢:22025 

Rodriguez-Romo, Suemi see Keller, Jaime, 92e:15034 and 92i:81111 

Romin-Roy, Narciso Symplectic and nonsymplectic realizations of groups for singular 
systems. An example. 92e:58077 

Roussev, R. P. (with Raichev, P. P.; Smirnov, Yu. F.) Generating function for the 
interacting vector boson model. I. Basis of Bargmann-Moshinsky. (Russian summary) 
92m:81081a 

— see also Raichev, P. P.; et al., 92m:81081b 

Rowe, David J. (with Repka, J.) Vector-coherent-state theory as a theory of induced 
representations. 92m:81099 

Rund, Hanno Adjoint connections on group manifolds and gauge transformations. 
92m:53041 

Rzewuski, Jan see Kocik, J., 92h:81067 


REAL FUNCTIONS 


26-01 


Sadovskii, D. A. Standard decomposition of the product of spherical tensor equivalent 
operators. 92c¢:81053 

Sato, Hikaru (with Shimojo, M.) Vacuum structure of a generalized degenerate orbifold. 
92b:81156 

Scalise, R. J. see Ginaydin, Murat, 92b:17047 

Schlesinger, Mordechay see Ponnapalli, P. S.; et al., 92c:81052 

Schrader, Robert see Hogreve, H.; et al., 92e:82011 

Shimojo, M. see Sato, Hikaru, 92b:81156 

Singer, Michael A. see Bailey, Toby N., 92b:81065 

Smirnov, Yu. F. see Roussev, R. P.; et al., 92m:81081a and Raichev, P. P.; et al., 92m:81081b 

Streater, R. F. see Klauder, John R., 92g:81075 

Suskin, M. A. see Judd, B. R.; et al., 92h:81057 

Suslov, S. K. On the theory of 9j-symbols. (Russian. English summary) 92i:81089 

Szczyrbe, Igor On advantages of SO(8). 92e:22032 

Tar, J.K. see Abonyi, 1; et al., 92d:22017 

Ton-That, Tuong see Klink, W. H., 92m:17032 

Truax, D. Rodney see Fatyga, B. W.; et al., 92e:81080 

Truini, Piero (with Cassinelli, Gianni; Biedenharn, L.C.) Nuclear collective motion from a 
group theoretical standpoint. 92i:81091 

Tuszytiski, J. A. *& Spherical tensor operators. 92i:81092 

Tyutin, I. V. see Batalin, I. A.; et al., 92i:81330 

Ui, Haruo (with Aizawa, N.) qg-analogue of boson commutator and the quantum groups 
SU, (2) and SU, (1, 1). 92b:81082 

Varilly, Joseph C. see Figueroa, Héctor; et al., 92a:81096 

Vourdas, A. Transformations in the angle—angular-momentum phase space. 92e:81060 

Walet, Niels R. see Klein, Abraham, 92c:81064 

Weiss, Winfried R. E. see Hannabuss, Keith C., 92a:46063 

Weng, Hai Guang see Fan, Hong Yi’, 92b:81051 

Wilcox, Calvin H. see Blahut, Richard E.; et al., 92h:35171 

Witten, Edward Gauge theories, vertex models, and quantum groups. 92b:82051 

Wolf, Kurt Bernardo Nonlinearity in aberration optics. 92f:78002 

— Refracting surfaces between fibers. 92h:78003 

— see also Frank, Alejandro; et al., 92i:78003 

Xu, Jing Bo (with Qian, Tie Zheng; Gao, Xiao Chun) The basic invariants and stable 
squeezed states. 92i:81119 

Yu, Zu Rong A new boson realization of the su(3) algebra. 92e:81061 

Yur'ev, D. V. The vocabulary of geometry and harmonic analysis on the infinite-dimensional 
manifold Diff,.(S')/S'. 92:58010 

Zhan, Chang Guo A study on the irreducible tensor method for the ligand field theory—the 
relation between the reduced matrix elements of irreducible tensor operators of a group 
and those of its subgroups. (Chinese. English summary) 92i:81093 

Zhang, Wei Min (with Feng, Da Hsuan; Gilmore, Robert) Coherent states: theory and 
some applications. 92i:81120 


22E99 None of the above, but in this section 


Items with secondary classifications in 22E99 

Alperin, J. L. A Lie approach to finite groups. 92a:20011 

Bragiel, Kazimierz On the Wigner-Eckart theorem for tensor operators connected with 
compact matrix quantum groups. 924:46176 

Chumak, M. L. (with Stépin, A.M.) Partial hyperbolicity of G-induced flows. 92k:58206 

Czyz, Janusz On Lie supergroups and superbundles defined via the Baker-Campbell- 
Hausdorff formula. 92b:17004 

Hofmann, Kari Heinrich Lie groups and semigroups. 92b:22002 

Koelink, H. Tjerk On +-representations of the Hopf +-algebra associated with the quantum 
group U,(n). 92b:16080 

Majid, Shahn Matched pairs of Lie groups and Hopf algebra bicrossproducts. 92f:16048 

Mislin, Guido (with Thévenaz, Jacques) The Z*-theorem for compact Lie groups. 
92i:22006 

Roy, Damien Sous-groupes minimaux des groupes de Lie commutatifs réels, et applications 
arithmétiques. [Minimal subgroups of real commutative Lie groups, and arithmetical 
applications] 92f:11098 

Spallek, Karlheinz Differentiable groups and Whitney spaces. (German. English summary) 
92e:58009 

Stépin, A.M. see Chumak, M. L., 92k:58206 

Thévenaz, Jacques see Mislin, Guido, 92i:22006 

Vuza, Dan Tudor Uniform continuity and uniform convergence. 92b:54069 

Wada, Masaaki Conjugacy invariants of Mobius transformations. 92a:30048 


26-XX Real functions [see also 54C30} 


26-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Ash, J. Marshall (with Gatto, A. Eduardo; Vagi, Stephen) A multidimensional Taylor’s 
theorem with minimal hypothesis. 92b:26001 

(Atfah, Mustafa) see Demidovich, B. P., 92h:26001 

Barner, Martin (with Flohr, Friedrich) * Analysis. II.(German) 92b:26002 

— (with Flohr, Friedrich) * Analysis. 1.(German) 92i:26001 

Bartle, Robert G. (with Sherbert, Donald R.) * Introduction to real analysis. 92i:26002 

Brabenec, Robert L. * Introduction to real analysis. 92d:26001 

Brécker, Theodor * Analysis. 1.(German) 92b:26003 

— * Analysis. Il. (German) 92j:26001 

Cooke, William P. From fences to hyperboxes and back again. 





26-01 


Dadayan, A. A. (with Dudarenko, V. A.) * MaTemaTuuecknit aHanns. (Russian) [Mathe- 
matical analysis] 92g:26001 

Demidovich, B. P. * Masa’il wa-tamarin fi-al-tahlil al-riyadi. (Arabic) [Problems and 
exercises in mathematical analysis] 92h:26001 

Dudarenko, V. A. see Dadayan, A. A., 92g:26001 

Flohr, Friedrich see Barner, Martin, 92b:26002 and 92i:26001 

Gatto, A. Eduardo see Ash, J. Marshall; et al., 92b:26001 

Leslie, Robert A. How not to repeatedly differentiate a reciprocal. 92j:26002 

Morrey, Charles B., Jr. see Protter, Murray H., 92i:26003 

Neubrunnova, Anna Unifying principles in analysis and a compactness criterion. (Russian 
and Slovak summaries) 92k:26001 

Protter, Murray H. (with Morrey, Charles B., Jr.) * A first course in real analysis. 
92i:26003 

Richert, Norman Strang’s strange figures. 92m:26001 

Sherbert, Donald R. see Bartle, Robert G., 92i:26002 

Srivastava, Pramila * Functions of several variables. 92i:26004 

Vagi, Stephen see Ash, J. Marshall; et al., 92b:26001 


Items with secondary classifications in 26-01 

(Andrianova, M.) see IV'in, Viadimir Aleksandrovich, 92g:00002a and 92g:00002b 

Haaser, Norman B. (with Sullivan, Joseph A.) * Real analysis. 92a:00006 

Heuser, Harro * Lehrbuch der Analysis. Teil 1. (German) [Textbook of analysis. Part 1] 
92k:00009a 

— * Lehrbuch der Analysis. Teil 2. (German) [Textbook of analysis. Part 2] 92k:00009b 

IVin, Viadimir Aleksandrovich (with Poznyak, E.G.) * Fundamentos del andlisis 
matemiatico. 1. (Spanish) [Foundations of mathematical analysis. 1] 92g:00002a 

— (with Poznyak, E.G.) * Fundamentos del andlisis matematico. 2. (Spanish) [Founda- 
tions of mathematical analysis. 2] 92g:00002b 

— (with Poznyak, E.G.) * Fundamentos del andlisis matematico. 3. (Spanish) [Founda- 
tions of mathematical analysis. 3] 92g:00002c 

Lee, Peng Yee * Lanzhou lectures on Henstock integration. 92j:26010 

Li, Jia Xian * Xiandai fenxi yuanli. (Chinese) [Principles of modern analysis] 92h:58001 

Light, William A. * An introduction to abstract analysis. 92a:00010 

Loomis, Lynn H. (with Sternberg, Shlomo) * Advanced calculus. 92i:00002 

{Medkov, K.P.) see Iin, Viadimir Aleksandrovich, 92g:00002b and 92g:00002c 

Munkres, James R. * Analysis on manifolds. 92d:58001 

Nikol/skii, S. M. * Kypc MatemaTuueckoro aHasH3a. Tom I. (Russian) [Course in mathe- 
matical analysis. Vol. I] 92f:00002 

Ostaszewski, Adam * Advanced mathematical methods. 92b:00005 

Pickert, Ginter Beweisanalyse zum Monotoniesatz. [Analysis of the proof of the mono- 
tonicity theorem] 92h:26003 

Poznyak, E.G. see IVin, Vladimir Aleksandrovich, 92g:00002a; 92g:00002b and 92g:00002c 

Sburlan, Silviu * Principiile fundamentale ale matematicii moderne. (Romanian) 
[Fundamental principles of modern mathematics] 92j:00007 

(Shenitzer, Abe) see Tikhomirov, V. M., 92k:49002 

Sternberg, Shlomo see Loomis, Lynn H., 92i:00002 

Storch, Uwe (with Wiebe, Hartmut) * Lehrbuch der Mathematik fiir Mathematiker, Infor- 
matiker und Physiker. Band I. (German) [Textbook of mathematics for mathematicians, 
information scientists, and physicists. Vol. I] 92k:00012 

Sullivan, Joseph A. see Haaser, Norman B., 92a:00006 

Tikhomirov, V.M. * Stories about maxima and minima. 92k:49002 

Wiebe, Hartmut see Storch, Uwe, 92k:00012 


26-02 Research exposition (monographs, survey articles) 


Goffman, Casper Lusin’s theorem. 92f:26001 
Thomson, Brian S. Derivates of interval functions. 92d:26002 


26-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 26-03 


Cantoral, Ricardo Formation of the notion of analytic function. (Spanish) 92h:01024 

Demidov, S.S. G. W. Leibniz’s “continuity law” and Euler’s concept of function continuity. 
(Russian) 92e:01030 

Duistermaat, J. J. M. Riesz’s families of operators. 92j:01064b 

(Euler, Leonhard) see Demidov, S. S., 92e:01030 

Giusti, Enrico A comparison of infinitesimal calculus in Leibniz and Newton. (Italian) 
92£:01016 

— Images du continu. [Images of the continuum] 92j:01022 

Grabiner, Judith V. Was Newton’s calculus just a dead end? Maclaurin and the Scottish 
connection. 92j:01023 

Lee, Peng Yee see Ma, Zheng Min, 92f:26015 

(Leibniz, Gottfried Wilhelm) see Demidov, S. S., 92e:01030 

Ma, Zheng Min (with Lee, Peng Yee) An overview of classical integration theory. 
92£:26015 

Mills, Stella The Cauchy-Maclaurin integral theorem: an eighteenth-century example of 
mathematical analysis. (Portuguese) (see 92g:00024) 

(Riesz, Marcel) see Duistermaat, J. J., 92j:01064b 


26-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Almkvist, Gert (with Zeilberger, Doron) The method of differentiating under the integral 
sign. 92d:26003 
Zeilberger, Doron see Almkvist, Gert, 92d:26003 


26-06 Proceedings, conferences, collections, etc. 


REAL FUNCTIONS 


Items with secondary classifications in 26-06 


Items listed otherwise than by author 
Reports: 
Symposium in Real Analysis Report on the Summer Symposium in Real Analysis XV, 
Smolenice, Czechoslovakia, August 12-16, 1991. 92h:00014 
Smolenice Report on the Summer Symposium in Real Analysis XV, Smolenice, Czechoslo- 
vakia, August 12-16, 1991. 92h:00014 
Symposium: 
Real Analysis Report on the Summer Symposium in Real Analysis XV, Smolenice, 
Czechoslovakia, August 12-16, 1991. 92h:00014 


26Axx Functions of one variable 


26A03 Foundations: limits and generalizations, elementary 
topology of the line 

Ciesielski, Krzysztof (with Larson, Lee M.) The density topology is not generated. 
92d:26004 

Gardner, Richard J. (with Pfeffer, Washek F.) A note on small and other singular sets. 
92h:26002 

Larson, Lee M. see Ciesielski, Krzysztof, 92d:26004 

Pfeffer, Washek F. see Gardner, Richard J., 92h:26002 


Items with secondary classifications in 26A03 

Giusti, Enrico Images du continu. [Images of the continuum] 92j:01022 

Lorefice, Maria Fiorella (with Riccobono, Giuseppa) On the sum of Darboux functions. 
(Italian. English summary) 92g:26004 

Ramsamujh, T. I. Three ordinal ranks for the set of differentiable functions. 92h:26010 

Riccobono, Giuseppa see Lorefice, Maria Fiorella, 92g:26004 


26A06 One-variable calculus 


Badalyan, G. V. A formula of Taylor type. (Russian. English and Armenian summaries) 
92b:26004 

Pickert, Ginter Beweisanalyse zum Monotoniesatz. [Analysis of the proof of the mono- 
tonicity theorem] 92h:26003 

Vyborny, Rudolf Elementary evaluation of Fresnel’s integrals. (Czech summary) 92m:26002 


26A09 Elementary functions 


Castro Fernandez, Edwin see Mora A., Gerardo; et al., (92e:00013) 

Jin, Bai Kin Functions defined by sequences. 92m:26003 

Mora A., Gerardo (with Castro Fernandez, Edwin; Muntean, Ioan) Elementary functions. I. 
(Spanish) (see 92e:00013) 

Muntean, Ioan see Mora A., Gerardo; et al., (92e:00013) 

Shehadah, Adel A. Right and left exponential orthogonal functions. 92k:26002 


Items with secondary classifications in 26A09 


Griggs, Jerrold R. Iterated exponentials of two numbers. 92b:06008 
Kim, Jin Bai n-dimensional sine and cosine functions. 92j:51025 


26A12 Rate of growth of functions, orders of infinity, slowly 
varying functions [see also 26A48] 


Adamovié, Dusan D. A remark concerning slowly varying functions in Karamata’s sense. 
(Serbo-Croatian summary) 92e:26001 

— Two propositions on slowly varying functions. 92d:26005 

Arandjelovié, D. O-regular variation and uniform convergence. 92e:26002 

Lorenzen, Gunter A unified approach to the calculation of growth rates. 92k:26003 

Mazhar, S. M. On integrability of power series. 92i:26005 

Shackell, John Growth estimates for exp-log functions. 92¢:26001 

Singh, Anand Prakash Erratum: “On a class of slowly changing function” [Proc. Indian 
Acad. Sci. Math. Sci. 98 (1988), no. 1, 25-30; MR 90e:26005]. 

Xiong, Gui Jing The attenuation property of unbounded oscillations of continuous 
functions and its application. (Chinese) 92d:26006 

Items with secondary classifications in 26A12 

Hayman, Walter K. Growth lemmas in function theory. 92h:30058 

Marié, Vojislav (with Tomi¢, Miodrag) A classification of solutions of second order linear 
differential equations by means of regularly varying functions. 92m:34129 

Németh, J. Note on Fourier series with nonnegative coefficients. 92k:42009 

— On Fourier series with nonnegative coefficients. 92k:42010 

Pachpatte, B.G. On Hardy type inequality involving Young functions. 92b:26029 

Tomié, Miodrag see Mari¢, Vojislav, 92m:34129 


26A15 Continuity and related questions (modulus of continuity, 
semicontinuity, discontinuities, etc.) {For properties 
determined by Fourier coefficients, see 42A16; for those 
determined by approximation properties, see 41A25, 
41A27.} 
Ainulloev, N. A sharp estimate for the second derivative in the space L,. (Russian) 
92i:26006 


Baldwin, Stewart Martin’s axiom implies a stronger version of Blumberg’s theorem. 
92b:26005 


Chlebik, Miroslav There are 2° symmetrically continuous functions. 92b:26006 





379 1992 26A Functions of one variable 


Ciesielski, Krzysztof (with Larson, Lee M.) The space of density continuous functions. 
92m:26004 

Grande, Zbigniew (with Soltysik, Leszek) On sequences of real functions with the Darboux 
property. 92b:26007 

— (with Natkaniec, Tomasz) On quasi-continuous bijections. 92f:26002 

Hong, Yong Chol (with Wilczynski, Wladyslaw) Asymmetry of all countable orders of a real 
function. 92a:26001 

Jaskula, Janusz (with Szkopitiska, Bozena) On the symmetric continuity. (Polish 
summary) 92f:26003 

Jastrzebski, Jan M. (with Jedrzejewski, Jacek M.; Natkaniec, Tomasz) Points of almost 
continuity of real functions. 92f:26004 

Jedrzejewski, Jacek M. see Jastrzebski, Jan M.; et al., 92f:26004 

Kholshchevnikova, N. N. Representation of some functions under the assumption of 
Martin’s axiom. (Russian) 92f:26005 

Kisytiski, Jan Metrization of Dg[0, 1] by Hausdorff distance between graphs. 92a:26002 

Larson, Lee M. see Ciesielski, Krzysztof, 92m:26004 

Natkaniec, Tomasz Products of quasi-continuous functions. 92h:26004 

— see also Grande, Zbigniew, 92f:26002 and Jastrzebski, Jan M.; et al., 92f:26004 

Sabetfakhri, Kazem see Shidfar, Afima Abdullah, 92d:26007 

Shidfar, Afima Abdullah (with Sabetfakhri, Kazem) On the Hélder continuity of certain 
functions. 92d:26007 

Soltysik, Leszek see Grande, Zbigniew, 92b:26007 

Szkopirtiska, Bozena see Jaskula, Janusz, 92f:26003 

Wilczytiski, Wiadyslaw see Hong, Yong Chol, 92a:26001 

Wyderka, Zdzislaw On multivalued version of the Darboux theorem with applications in 
optimal control theory. 92d:26008 

Zhou, Song Ping On the relative behaviour of moduli of smoothness. 92c:26002 


Items with secondary classifications in 26A15 

Anastassiou, George A. (with Cottin, Claudia; Gonska, Heinz H.) Global smoothness of 
approximating functions. 92h:41047 

Belov, A.S. On the Salem and Zygmund problem with respect to the smoothness of an 
analytic function that generates a Peano curve. (Russian) 92a:42006 

Borsik, Jan (with Dobos, Jozef) On decompositions of quasicontinuity. 92a:54010 

— (with Doboi, Jozef) On simple continuity points. 92h:54017 

Ciesielski, Krzysztof (with Larson, Lee M.) The density topology is not generated. 
924:26004 

— (with Larson, Lee M.) Category theorems concerning -% -density continuous functions. 
92m:54067 

Cottin, Claudia see Anastassiou, George A.; et al., 92h:41047 

Doboi, Jozef see Borsik, Jan, 92a:54010 and 92h:54017 

Gonska, Heinz H. see Anastassiou, George A.; et al., 92h:41047 

Grande, Zbigniew Algebraic structures generated by almost continuous functions. 
92g:54018 

Kuz'minykh, A. V. A continuous function whose graph intersects the graph of every 
polynomial that has the cardinality of the continuum. (Russian) 92i:54021 

Lahiri, B. K. see Saha, P. K., 92j:28002 

Larson, Lee M. see Ciesielski, Krzysztof, 92d:26004 and 92m:54067 

Lippus, Jiri On multipliers preserving the classes of functions with a given major of the 
modulus of continuity. 92m:42010 

Mamurov, K. Completion of the space of piecewise-constant functions with respect to the 
uniform metric. (Russian. Tajiki summary) 92d:46067 

Neubrunnova, Anna Unifying principles in analysis and a compactness criterion. (Russian 
and Slovak summaries) 92k:26001 

Piotrowski, Z. (with Wingler, E.) A note on continuity points of functions. 92f:54010 

Saha, P. K. (with Lahiri, B. K.) Density topology in Romanovski spaces. 92j:28002 

Wingler, E. see Piotrowski, Z., 92f:54010 


26A16 Lipschitz (Holder) classes 


Items with secondary classifications in 26A16 


Belov, A.S. On the Salem and Zygmund problem with respect to the smoothness of an 

analytic function that generates a Peano curve. (Russian) 92a:42006 
ieral ka-Kedzierska, Maria (with Van Vleck, F.S.) Fréchet vs. Gateaux differentiabil- 

ity of Lipschitzian functions. 92g:26032 

Khan, Mohammad Kazim Approximation properties of beta operators. 92m:41047 

Khanin, L.G. L. V. Kantorovich-G. Sh. Rubinshtein duality for Lipschitz spaces that can 
be defined by differences of arbitrary order. (Russian) 92b:46029 

Németh, J. Fourier series with positive coefficients and generalized Lipschitz classes. 
92h:42015 

— Note on Fourier series with nonnegative coefficients. 92k:42009 

— On Fourier series with nonnegative coefficients. 92k:42010 

Van Vleck, F.S. see Gieraltowsh Maria, 92g:26032 





Wed L 





26A18 Iteration [see also 39B12, 47H10, 54H25, 58F08, 58F 13] 


Drewniak, Jézef (with Drobot, Vladimir) On the slow convergence of iterations of a 
function. (Polish summary) 92j:26003 

Drobot, Vladimir see Drewniak, Jézef, 92j:26003 

Humke, Paul D. (with Laczkovich, Miklés) Approximations of continuous functions by 
squares. 92d:26009 

Jarczyk, Witold Almost iterable functions. 92i:26007 

Laczkovich, Miklés see Humke, Paul D., 92d:26009 

(Nadler, Sam B., Jr.) see Vidalis, Theodor, 92d:26010 

Seneta, E. Karamata’s iteration theorem and normed regularly varying sequences in a 
historical light. 92g:26002 

Tarnopolska-Weiss, Marysia An early introduction to dynamics. 92h:26005 

(Ushijima, Kazuchika) see Vidalis, Theodor, 92d:26010 


26A18 


Vidalis, Theodor A note on a paper of S. B. Nadler, Jr. and K. Ushijima: “Fixed point curves 
for linear interpolations of contraction maps” [Appl. Anal. 29 (1988), no. 3-4, 165-176; 
MR 90h:47103]. 92d:26010 


Items with secondary classifications in 26A18 
Francesco Lototsky-Schnabl operators on the unit interval. (French summary) 

92):41035 

Antoranz, J.C. Power spectral analysis of an intermittent incommensurate chaotic state. 
92c:58071 

Aurell, Erik Finding eigenvalues of the period-doubling operator from the characteristic 
equation. 92j:58066 

Bae, Jong Sook (with Sung, Nak So) An example of a partially ordered Sharkovsky space. 
92a:58108 

Baldwin, Stewart Some limitations toward extending Sarkovskii’s theorem to connected 
linearly ordered spaces. 92e:58064 

Barnsley, Michael F. Lecture notes on iterated function systems. 92d:39015 

Bivins, R. L. (with Louck, J. D.; Metropolis, N.; Stein, M. L.) Classification of all cycles of 
the parabolic map. 92j:58084 

Blokh, A. M. (with Coven, Ethan M.; Misiurewicz, Michal; Nitecki, Zbigniew) Roots of 
continuous piecewise monotone maps of an interval. 92i:58086 

Bogatyi, S. A. Periodic points of mappings on an interval. (Russian) 92a:58109 

Brucks, K. M. (with Misiurewicz, Michal; Tresser, Charles) Monotonicity properties of the 
family of trapezoidal maps. 92e:58108 

Chen, Liang! Linking and the shadowing property for piecewise monotone maps. 
92b:58166 

Chen, Shi Gang see Wang, Guang Rui; et al., 92a:58103 

Choczewski, Bogdan see Kuczma, Marek; et al., 92f:39002 

Cosenza, M. G. (with Swift, J.B.) Influence of asymmetry on multifractal properties of 
maps. 92b:58141 

Coven, Ethan M. (with Hidalgo, Melissa C.) On the topological entropy of transitive maps 
of the interval. 92h:58102 

— see also Blokh, A. M.; et al., 92i:58086 

Deliu, Anca (with Geronimo, Jeffrey S.; Shonkwiler, R.; Hardin, D.) Dimensions associated 
with recurrent self-similar sets. 92g:58069 

Devaney, Robert L. Chaos, fractals and dynamics. 92a:58093 

Drobot, Viadimir (with Wallen, Lawrence J.) Asymptotic iteration. 92¢:65064 

Evans, Michael Jon (with Humke, Paul D.; Lee, Cheng Ming; O'Malley, Richard J.) 
Corrigendum to: “Characterizations of turbulent one-dimensional mappings via w-limit 
sets” [Trans. Amer. Math. Soc. 326 (1991), no. 1, 261-280; MR 91j:58133]. 92m:58085 

Fedorenko, V. V. (with Smital, J.) Maps of the interval Ljapunov stable on the set of 
nonwandering points. 92g:58063 

— see also Sharkovskii, A. N., 92i:58092 

Fontich, E. On the existence of homoclinic points for conservative diffeomorphisms. 
924:58178 

Franzova, Nora Typical continuous function has the set of chain recurrent points of zero 
Lebesgue measure. (Russian and Slovak summaries) 92f:58099 

Garcia-Pelayo, Ricardo (with Schieve, William C.) Noisy fractals. 92k:58157 

Gedeon, Tomas A counterexample to a Fedorenko statement. 92g:58064 

— Stable and nonstable nonchaotic maps of the interval. 92k:58074 

Ger, Roman see Kuczma, Marek; et al., 92f:39002 

Geronimo, Jeffrey S. see Deliu, Anca; et al., 92g:58069 

Gilbert, A. D. Global dynamics of a planar mapping exhibiting orbits of periods 1,2, 3 and 
no chaos. 92b:58183 

Goscicka, Katarzyna On commutable functions and Abel’s equations. (Polish summary) 
92£:39012 

Hardin, D. see Deliu, Anca; et al., 92g:58069 

Hidalgo, Melissa C. see Coven, Ethan M., 92h:58102 

Hofbauer, Franz (with Keller, Gerhard) Some remarks on recent results about S-unimodal 
maps. 92m:58077 

Humke, Paul D. see Evans, Michael Jon; et al., 92m:58085 

Isola, Stefano (with Politi, Antonio) Universal encoding for unimodal maps. 92d:58058 

Jankova, Katarina (with Polakovit, Marcel) Transitivity of expanding maps of the interval. 
(Russian and Slovak summaries) 92b:58115 

Jarczyk, Witold On continuous solutions of the equation of invariant curves. 92k:39012 

Keller, Gerhard see Hofbauer, Franz, 92m:58077 

Kuczma, Marek (with Choczewski, Bogdan; Ger, Roman) * Iterative functional equations. 
92:39002 

Lee, Cheng Ming see Evans, Michael Jon; et al., 92m:58085 

Li, Shi Hai Relations between chain recurrent points and turning points on the interval. 
92h:58160 

Lin, You Feng see Ratti, J. S., 92d:39016 

Louck, J.D. see Bivins, R. L.; et al., 92j:58084 

Luo, Lishi see Peng, Shou Li, 92f:58054 

Mackey, Michael C. see Provatas, Nicholas, 92g:58073 

Mai, Jie Hua Unimodal orbits in continuous functions and generalization of Sarkovskii’s 
theorem. 92j:58055 

Mantica, Giorgio (with Sloan, Alan) Chaotic optimization and the construction of fractals: 
solution of an inverse problem. 92b:28011 

McCauley, J. L., Jr. Deterministic statistical independence, nonperiodic symbol sequences 
and Gibbs distributions. 92b:11050 

Mendoza, Leonardo Continuity properties of invariant sets of one-dimensional maps. 
(Spanish summary) 92i:58108 

Metropolis, N. see Bivins, R. L.; et al., 92j:58084 

Misiurewicz, Michal (with Nitecki, Zbigniew) Combinatorial patterns for maps of the 
interval. 92h:58105 

— (with Nitecki, Zbigniew) Combinatorial patterns for maps of the interval. 92h:58105 

— see also Brucks, K. M.; et al., 92e:58108 and Blokh, A. M.; et al., 92i:58086 

Moser, Jiirgen On commuting circle mappings and simultaneous Diophantine approxima- 
tions. 92e:58120 





26A18 


Nitecki, Zbigniew see Misiurewicz, Michal, 92h:58105; 92h:58105 and Blokh, A. M.; et al., 
92i:58086 

O’Malley, Richard J. see Evans, Michael Jon; et al., 92m:58085 

Peng, Shou Li (with Luo, Lishi) The ordering of critical periodic points in coordinate space 
by symbolic dynamics. 92f:58054 

Pennings, Timothy (with Van Eeuwen, Jeffrey) Pseudo-orbit shadowing on the unit interval. 
92¢:54056 

Petek, Peter Iteration of quadratic functions. (Slovenian. English summary) 92a:58100 

Piérek, Jézef On generic chaos of shifts in function spaces. 92a:58102 

Polakovit, Marcel see Jankova, Katarina, 92b:58115 

Politi, Antonio see Isola, Stefano, 92d:58058 

Provatas, Nicholas (with Mackey, Michael C.) Noise-induced asymptotic periodicity in a 
piecewise linear map. 92g:58073 

Ratti, J.S. (with Lin, You Feng) A functional equation involving f and f~'. 92d:39016 

Ringland, John (with Schell, Mark) Genealogy and bifurcation skeleton for cycles of the 
iterated two-extremum map of the interval. 92h:58161 

Schell, Mark see Ringland, John, 92h:58161 

Schieve, William C. see Garcia-Pelayo, Ricardo, 92k:58157 

Schweizer, Berthold (with Sklar, A.) The baker’s transformation is not embeddable. 
92¢:58058 


Sharkovskii, A. N. (with Fedorenko, V. V.) Types of recurrence in simple dynamical 
systems. (Russian) 92i:58092 

Shonkwiler, R. see Deliu, Anca; et al., 92g:58069 

Simon, Kéroly The iterates are not dense in C. 92m:54074 

Sklar, A. see Schweizer, Berthold, 92c:58058 

Sloan, Alan see Mantica, Giorgio, 92b:28011 

Smital, J. see Fedorenko, V. V., 92g:58063 

Sodin, M. L. (with Yuditskii, P.M.) The limit-periodic finite-difference operator on /?(Z) 
associated with iterations of quadratic polynomials. 92e:58122 

Stein, M. L. see Bivins, R. L.; et al., 92j:58084 

Sung, Nak So see Bae, Jong Sook, 92a:58108 

Swift, J. B. see Cosenza, M. G., 92b:58141 

Tresser, Charles see Brucks, K. M.; et al., 92e:58108 

Van Eeuwen, Jeffrey see Pennings, Timothy, 92c:54056 

Wallen, Lawrence J. see Drobot, Viadimir, 92c:65064 

Wang, Guang Rui (with Chen, Shi Gang) Chaotic measures and scaling laws for supercriti- 
cal circle maps. (Chinese. English summary) 92a:58103 

Yuditskii, P.M. see Sodin, M. L., 92e:58122 

Zadun, Marek Cezary On C’ iteration groups. 92a:58116 

Zheng, Wei Mou Symbolic dynamics for the circle map. 92¢:58065 


26A21 Classification of real functions; Baire classification of sets 
and functions [see also 04A15, 28A05, 54C50] 


Carrese, R. (with Lazarow, Ewa) On some property of functions defined on R? that are 7 - 
approximately continuous with respect to one variable. 92m:26005 

Csaszar, A. Extensions of discrete and equal Baire functions. 92f:26006 

Jastrzebski, Jan M. (with Jedrzejewski, Jacek M.) On connectivity points of Darboux 
functions. (Russian summary) 92f:26007 

— (with Jedrzejewski, Jacek M.; Natkaniec, Tomasz) On some subclasses of Darboux 
functions. 92h:26006 

Jedrzejewski, Jacek M. see Jastrzebski, Jan M., 92f:26007 and 92h:26006 

Kirchheim, Bernd (with Natkaniec, Tomasz) On universally bad Darboux functions. 
924:26011 

Lazarow, Ewa Baire classes in the topologies generated by the lower densities. 92g:26003 

— see also Carrese, R., 92m:26005 

Lorefice, Maria Fiorella (with Riccobono, Giuseppa) On the sum of Darboux functions. 
(Italian. English summary) 92g:26004 

Solomon From the mean value theorem to a new type of Darboux property. 

92b:26008 

Myerson, G. First-class functions. 92f:26008 

Natkaniec, Tomasz see Kirchheim, Bernd, 92d:26011 and Jastrzebski, Jan M.; et al., 
92h:26006 

Pawlak, Ryszard Jerzy On Darboux points and the perfectly closed class of functions. 
(Polish summary) 92i:26008 

— (with Rychlewicz, Andrzej) On a K. M. Garg’s problem in respect to Darboux functions. 
(Polish summary) 92i:26009 

Riccobono, Giuseppa see Lorefice, Maria Fiorella, 92g:26004 

Rychlewicz, Andrzej see Pawlak, Ryszard Jerzy, 92i:26009 

Strzesniewski, Mariusz An example of ambivalent, approximately continuous but not 
strongly Baire 1 function. 92b:26009 

Wajch, Eliza On small systems and compact families of Borel functions. (Russian 
summary) 92e:26003 


Items with secondary classifications in 26A21 


Balcerzak, Marek On the generalized Zink classification. (Polish summary) 92g:28002 

Chin, S. T. (with Tsutsumi, Akira) On Baire function theorems in ranked space. 92b:54067 

Chlebik, Miroslav There are 2° symmetrically continuous functions. 92b:26006 

Cichori, J. (with Morayne, Michal; Pawlikowski, Janusz; Solecki, S.) Decomposing Baire 
functions. 92j:04001 

Csészar, A. (with Laczkovich, Mikl6s) Discrete and equal Baire classes. 92b:54025 

Haydon, Richard (with Odell, E.; Rosenthal, Haskell Paul) On certain classes of Baire-1 
functions with applications to Banach space theory. 92h:46018 

Jaskula, Janusz see Szkopitiska, Bozena, 92h:26011 

Laczkovich, Miklés see Csdszar, A., 92b:54025 

Morayne, Michal see Cichoi, J.; et al., 92j:04001 

Natkaniec, Tomasz Products of quasi-continuous functions. 92h:26004 

Odell, E. see Haydon, Richard; et al., 92h:46018 

O’Malley, Richard J. First return path derivatives. 92k:26006 

Pawlikowski, Janusz see Cichon, J.; et al., 92j:04001 


REAL FUNCTIONS 


Pu, H. H. see Pu, H. W., 92£:26009 

Pu, H. W. (with Pu, H. H.) Selective derivatives for monotone functions. 92f:26009 

Ramsamujh, T. 1. Nowhere analytic C® functions. 92j:26014 

Rosenthal, Haskell Paul see Haydon, Richard; et al., 92h:46018 

Sharkovskii, A. N. How complicated can be one-dimensional dynamical systems: descrip- 
tive estimates of sets. 92c:58070 

Solecki, S. see Cichon, J.; et al., 92j:04001 

Szkopitiska, Bozena (with Jaskula, Janusz) On generalization of some theorem of Dini. 
(Polish summary) 92h:26011 

Thomson, Brian S. Derivates of interval functions. 92d:26002 

Tsutsumi, Akira see Chin, S. T., 92b:54067 

Wilson, Terence E. A fugue on Bernstein sets. 92b:28003 


26A24 Differentiation (functions of one variable): general 
theory, generalized derivatives, mean-value theorems 
[see also 28A15] 


Alzer, Horst Corrigendum to: “On an extension of Leibniz’ product rule” [Analysis 10 
(1990), no. 2-3, 295-297; MR 91g:2601 1]. 

Chen, De Xiu Differentiable functions in the space (/). (Chinese. English summary) 

Estrada, Ricardo (with Kanwal, R. P.) Nonclassical derivation of the transport theorems for 
wave fronts. 92g:26005 

Furi, Massimo (with Martelli, Mario) On the mean value theorem, inequality, and 
inclusion. 92k:26004 

Grande, Zbigniew Derivatives and the Carathéodory superposition. 92h:26007 

Hola, Lubica (with Kostyrko, Pavel; Powell, B. J.; Salat, Tibor) Mean value theorem and 
Lagrange sets of real functions. (Russian and Slovak summaries) 92g:26006 

Humke, Paul D. (with Laczkovich, Miklés) An elementary proof of Freiling’s symmetric 
covering theorem. 92c¢:26003 

Jaskula, Janusz see Szkopitiska, Bozena, 92h:26011 

Kaczmarski, Bogustaw The sets where a function has infinite one-sided derivatives. 
92h:26008 

Kanwal, R. P. see Estrada, Ricardo, 92g:26005 

Korner, T. W. Differentiable functions on the rationals. 92h:26009 

Kostyrko, Pavel see Hold, Lubica; et al., 92g:26006 

Kranz, Lothar (with Thews, Klaus) Zur Ubereinstimmung der Mittelwertstellen von 
Funktionen und ihren Ableitungen. [On the coincidence of places of means for functions 
and their derivatives] 

Laczkovich, Miklés see Humke, Paul D., 92c:26003 

MaleSevi¢, Jovan V. Two theorems from differential calculus. (Serbo-Croatian summary) 
92j:26004 

Maly, Jan (with Zajiéek, Ludék) Approximate differentiation: Jarnik points. 92m:26006 

Martelli, Mario see Furi, Massimo, 92k:26004 

Matejdes, Milan Path differentiation in the Borel setting. 92j:26005 

Mera, Ruben On the determination of the intermediate point in Taylor’s theorem. 
92k:26005 

O’Malley, Richard J. First return path derivatives. 92k:26006 

Powell, B. J. see Hola, Lubica; et al., 92g:26006 

Pu, H. H. see Pu, H. W., 92£:26009 and 92j:26006 

Pu, H. W. (with Pu, H.H.) Selective derivatives for monotone functions. 92f:26009 

— (with Pu, H.H.) Another intersection condition for path derivatives. 92j:26006 

Ramsamujh, T. I. Three ordinal ranks for the set of differentiable functions. 92h:26010 

Rinne, D. A restricted symmetric derivative for continuous functions of two variables. 
92¢:26004 

Salat, Tibor see Hold, Cubica; et al., 92g:26006 

Schmetterer, Leopold Uber einen elementaren Satz der Analysis. [On an elementary 
theorem in analysis] 92b:26010 

Szkopitiska, Bozena (with Jaskula, Janusz) On generalization of some theorem of Dini. 
(Polish summary) 92h:26011 

Thews, Klaus see Kranz, Lothar 

Turinici, Mihai An exceptional set extension of a mean value McLeod’s result. 92j:26007 

Xia, Wei Ci The converse of the Lagrange mean value theorem. (Chinese. English summary) 
92k:26007 

Zajitek, Ludék see Maly, Jan, 92m:26006 


Items with secondary classifications in 26A24 

Alikhani-Koopaei, Aliasghar Extreme path derivatives of a Borel measurable function with 
respect to a continuous system of paths. (see 92m:00055) 

Buczolich, Zoltan Convexity and symmetric derivates of measurable functions. 92a:26007 

Cater, F.S. Upper and lower generalized Riemann integrals. 92f:26016 

Groetsch, C. W. Differentiation of approximately specified functions. 

Kocié, Ljubisa M. Symmetric derivatives and convexity classes of Ovéarenko. 92c:26010 

Kuczma, Marek On the quasiarithmetic mean in a mean value property and the associated 
functional equation. 92¢:39020 

Leinenkugel, Cornel A Daniell-Stone approach to the general Denjoy integral. 92¢:26007 

Lorenzen, Gunter A unified approach to the calculation of growth rates. 92k:26003 

Marcus, Solomon From the mean value theorem to a new type of Darboux property. 
92b:26008 

Michel, Philippe (with Penot, Jean-Paul) A generalized derivative for calm and stable 
functions. 92k:49029 

Novo Sanjurjo, V. (with Rodriguez Marin, L.) Generalized derivative in R. Application to 
the study of extrema. (Spanish. English summary) (see 92m:00049) 

Penot, Jean-Paul see Michel, Philippe, 92k:49029 

Rodriguez Marin, L. see Novo Sanjurjo, V., (92m:00049) 

Thomson, Brian S. Derivates of interval functions. 92d:26002 





381 1992 26A Functions of one variable 


26A27 Nondifferentiability (nondifferentiable functions, points of 
nondifferentiability), discontinuous derivatives 


Bobok, J. On nondifferentiable measure-preserving functions. 92b:26011 

Katsuura, Hidefumi Continuous nowhere-differentiable functions—an application of 
contraction mappings. 92¢:26005 

Lynch, Mark A continuous, nowhere differentiable function. 92k:26008 

Sabetfakhri, Kazem see Shidfar, Afima Abdullah, 92b:26012 

Sagan, Hans An elementary proof that Schoenberg’s space-filling curve is nowhere 
differentiable. 

Shidfar, Afima Abdullah (with Sabetfakhri, Kazem) Hdlder continuity or discontinuity of 
Weierstrass’ function. 92b:26012 


Items with secondary classifications in 26A27 

Gamkrelidze, N.G. On a probabilistic properties of Takagi’s function. 92a:60081 

Gurarii, V. I. Linear spaces composed of everywhere nondifferentiable functions. (Russian) 
92j:46046 

Holschneider, Matthias (with Tchamitchian, Philippe) Régularite locale de la fonction 
“non-différentiable” de Riemann. (English summary) [Local regularity of Riemann’s 
“nondifferentiable” function] (see 92g:42018) 

Sekiguchi, Takeshi (with Shiota, Yasunobu) A generalization of Hata-Yamaguti’s results on 
the Takagi function. 92i:26010 

Shiota, Yasunobu see Sekiguchi, Takeshi, 92i:26010 

Tchamitchian, Philippe see Holschneider, Matthias, (92g:42018) 


26A30 Singular functions, Cantor functions, functions with other 
special properties 


Chalice, Donald R. A characterization of the Cantor function. 92a:26003 

Korner, T. W. Devil’s staircases, ramps, humps and roller coasters. 92b:26013 

Omiecitiski, Jan Piotr On diffeomorphisms transforming denumerable and dense sets onto 
denumerable and dense sets. (Russian and Polish summaries) 92m:26007 

Sekiguchi, Takeshi (with Shiota, Yasunobu) A generalization of Hata-Yamaguti’s results on 
the Takagi function. 92i:26010 

Shiota, Yasunobu see Sekiguchi, Takeshi, 92i:26010 


Items with secondary classifications in 26A30 


Belov, A.S. On the Salem and Zygmund problem with respect to the smoothness of an 
analytic function that generates a Peano curve. (Russian) 92a:42006 

Buczolich, Zoltan (with Laczkovich, Miklés) Concentrated Borel measures. 92k:28002 

Kostyrko, Pavel On a typical property of some function spaces. (Russian and Slovak 
summaries) 92¢:46046 

Laczkovich, Miklés see Buczolich, Zoltén, 92k:28002 

Lorefice, Maria Fiorella (with Riccobono, Giuseppa) On the sum of Darboux functions. 
(Italian. English summary) 92g:26004 

Riccobono, Giuseppa see Lorefice, Maria Fiorella, 92g:26004 


26A33 Fractional derivatives and integrals 


Al-Bassam, M. A. On applications of fractional calculus to differential equations of special 
functions. 92m:26008 

Grin‘ko, A. P. (with Kilbas, A. A.) Generalized fractional integrals in weighted Hélder 
spaces. (Russian. English summary) 92a:26004 

— Solution of a nonlinear differential equation with a generalized fractional derivative. 
(Russian. English summary) 92i:26011 

— (with Kilbas, A. A.) On compositions of generalized fractional integrals. 92m:26009 

Guerra, J. A. (with Kalla, Shyam L.) Fractional calculus applied to the solution of 
differential equations. (Spanish. English summary) 92b:26014 

Imoru, Christopher Olutunde Weighted norm inequalities from Riemann-Liouville 
fractional integral. 92g:26007 

Jones, K.R. W. Riemann-Liouville fractional integration and reduced distributions on 
hyperspheres. 92d:26012 

Kalia, R. N. (with Kalia, Sneh) The generalized Leibniz rule and its consequences. 
92£:26010 

— Theorems arising from Leibniz rule of fractional calculus. 

Kalia, Sneh see Kalia, R. N., 92f:26010 

Kalla, Shyam L. (with Kiryakova, Virginia S.) An H-function generalized fractional 
calculus based upon compositions of Erdélyi-Kober operators in L,. 92i:26012 

— see also Guerra, J. A., 92b:26014 

Karapetyants, N. K. (with Murdaev, Kh. M.; Yakubov, A. Ya.) The isomorphism realized 
by fractional integrals in generalized Hélder classes. (Russian) 92c:26006 

Kilbas, A. A. see Grin‘ko, A. P., 92a:26004 and 92m:26009 

Kiryakova, Virginia S. see Kalla, Shyam L., 92i:26012 

Kokilashvili, V. M. Fractional integrals on curves. (Russian. English summary) 92f:26011 

Leskovskii, I. P. Sufficient conditions for the existence of a fractional integro-differentiation 
operator. (Russian) 92g:26008 

Maurdaev, Kh. M. see Karapetyants, N. K.; et al., 92¢:26006 

Nishimoto, Katsuyuki * An essence of Nishimoto’s fractional calculus. 92d:26013 

— * Fractional calculus. Vol. IV. 92j:26008 

Radzhabov, E. L. A generalization of operators of fractional integration and differentiation. 
(Russian) 92d:26014 

Raina, R. K. A note on the multidimensional Weyl fractional operator. 92k:26009 

Samko, S.G. Hypersingular integrals and differences of fractional order. (Russian) 

26009 


92g: 
Yakubov, A. Ya. see Karapetyants, N. K.; et al., 92c:26006 


Items with secondary classifications in 26A33 


Agrawal, B. M. see Gupta, S. C., 92j:33026 
Al-Bassam, M. A. On Gauss’ differential equation and its twenty-four Kummer’s solutions. 
92k:01015 


26A39 


Badalyan, G. V. A formula of Taylor type. (Russian. English and Armenian summaries) 
92b:26004 

Bardaro, Carlo (with Vinti, Gianluca) Some estimates of integral operators with respect to 
the multidimensional Vitali ®-variation, and applications in fractional calculus. (Italian 
summary) 92k:26050 

Bertoin, Jean Complements on the Hilbert transform and the fractional derivative of 
Brownian local times. 92f:60139 

Brunetti, Maria Enrica (with Zanelli, Vanna) Fractional integration matrices for the Haar 
system. (Italian) 92m:42030 

Butzer, P. L. (with Hauss, M.) On Stirling functions of the second kind. 92k:11023 

Campos, L. M. B.C. On generalizations of the series of Taylor, Lagrange, Laurent and 
Teixeira. 92a:41018 

Garg, Mridula A study of fractional integral operators. (Hindi. English summary) 
92g:44003 

Glaeske, Hans-Jiirgen see Saigo, Megumi, 92j:46074 

Grin’‘ko, A. P. (with Kilbas, A. A.) On compositions of generalized fractional integrals and 
evaluation of definite integrals with Gauss hypergeometric functions. 92h:33004 

Gupta, S.C. (with Agrawal, B. M.) Double Dirichlet average and fractional derivative. 
92j:33026 

Hauss, M. see Butzer, P. L., 92k:11023 

Jiang, Qing Tang Fractional integral operators on product spaces. (Chinese. English 
summary) 92h:42033 

Kerr, Fiona H. A fractional power theory for Hankel transforms in L?(R*). 92h:44006 

Khandelwal, R.S. (with Sharma, Yogendra Kumar; Singhal, Mukesh) Fractional operator 
and H-function integrals. 92g:44009 

Khatib, M. N. About one-dimensional fractional integrals of Hp classes. (Russian and 
Georgian summaries) 

Kheinig, G. P. see Kufner, Alois, 92e:26008 

Kilbas, A. A. (with Saigo, Megumi; Zhuk, V. A.) On the composition of operators of 
generalized fractional integration with a differential operator in axisymmetric potential 
theory. (Russian) 92j:31004 

— see also Grin’ko, A. P., 92h:33004 

Kufner, Alois (with Kheinig, G. P.) The Hardy inequality for higher-order derivatives. 
(Russian) 92¢:26008 

Olver, Peter J. A nonlinear differential operator series that commutes with any function. 
92m:34048 

Pandey, J. N. see Singh, Om Prakash! , 92j:46075 

Rivero Alvarez, Margarita see Trujillo, Juan J., (92b:00044) 

Saakyan, B. A. Solutions of some differential equations of fractional order. (Russian. 
English and Armenian summaries) 92¢:34007 

Saigo, Megumi (with Glaeske, Hans-Jiirgen) Fractional calculus operators involving the 
Gauss function on spaces Fp,, and Fi, ,. 92:46074 

— see also Kilbas, A. A.; et al., 92j:31004 

Sharma, Yogendra Kumar see Khandelwal, R. S.; et al., 92g:44009 

Singh, L. P. see Sohi, N.S. 

Singh, Om Prakash’ (with Pandey, J. N.) The Fourier-Bessel series representation of the 
pseudo-differential operator (—x~'D)”. 92j:46075 

Singhal, Mukesh see Khandelwal, R. S.; et al., 92g¢:44009 

Sohi, N.S. (with Singh, L. P.) Ona class of analytic functions involving fractional calculus. 

Srivastava, Hari M. Some operational techniques in the theory of generalized Gaussian and 
Clausenian functions. 92j:33027 

Trujillo, Juan J. (with Rivero Alvarez, Margarita) An application of Riemann-Liouville 
fractional operators to ordinary differential equations. (Spanish. English summary) (see 
92b:00044) 

Vinti, Gianluca see Bardaro, Carlo, 92k:26050 

Zanelli, Vanna see Brunetti, Maria Enrica, 92m:42030 

Zhuk, V. A. see Kilbas, A. A.; et al., 92j:31004 


26A36 Antidifferentiation 


Items with secondary classifications in 26A36 
, Randall L. (with Kechris, Alexander S.) The complexity of antidifferentiation. 
92h:03072 
Kechris, Alexander S. see Dougherty, Randall L., 92h:03072 


26A39 Denjoy and Perron integrals, other special integrals 


Bose, M. K. (with Ghosh, Bimalendu) On the Cesaro-Perron integral. 92f:26012 

Bullen, P.S. (with Mukhopadhyay, S. N.) The integrability of Riemann summable 
trigonometric series. 92d:26015 

— (with Vyborny, Rudolf) Some applications of a theorem of Marcinkiewicz. 924:26016 

Cross, G. E. Integration by parts for the Perron integral. 

Das, A. G. see Ray, Swapan Kumar, 92g:26010 

Ghosh, Bimalendu see Bose, M. K., 92f:26012 

Gordon, Russell A. The inversion of approximate and dyadic derivatives using an extension 
of the Henstock integral. 92b:26015 

— A general convergence theorem for nonabsolute integrals. 92k:26010 

Henstock, Ralph Stochastic and other functional integrals. 92h:26012 

— * The general theory of integration. 92k:26011 

Jarnik, Jiti see Kurzweil, Jaroslav, 92d:26017 

Jurkat, W. B. (with Knizia, R. W.) A characterization of multi-dimensional Perron 
integrals and the fundamental theorem. 92f:26013 

Knizia, R. W. see Jurkat, W. B., 92:26013 

Kurzweil, Jaroslav (with Jarnik, Jiti) On a generalization of the Perron integral on one- 
dimensional intervals. 92d:26017 

Leader, S. Variation of f on E and Lebesgue outer measure of fE. 92j:26009 

Lee, Cheng Ming A symmetric approximate Perron integral for the coefficient problem of 
convergent trigonometric series. 92d:26018 

Lee, Peng Yee * Lanzhou lectures on Henstock integration. 92j:26010 





26A39 


— see also La, Shi Pan, 92f:26014 and Ma, Zheng Min, 92£:26015 

Leinenkugel, Cornel A Daniell-Stone approach to the general Denjoy integral. 92c:26007 

Liao, Ke Cheng see Lu, Shi Pan, 92d:26019 

La, Shi Pan (with Liao, Ke Cheng) On generalized dominated convergence. 92d:26019 

— (with Lee, Peng Yee) Globally small Riemann sums and the Henstock integral. 92f:26014 

Ma, Zheng Min (with Lee, Peng Yee) An overview of classical integration theory. 
92£:26015 

Mukhopadhyay, S. N. see Bullen, P. S., 92d:26015 

Nakanishi, Shizu On controlled convergence theorem for Henstock-Kurzweil integrals. 
92b:26016 

Okano, Hatsuo E.R. integral method of summation of series. I. 92e:26004 

Ostaszewski, Krzysztof Henstock integral. 

Ray, Swapan Kumar (with Das, A.G.) A new definition of RS; integral and generalized 
Stieltjes resultant. 92g:26010 

Schwabik, Stefan The Perron product integral and generalized linear differential equations. 
(Czech summary) 924:26020 

Soedijono, Bambang (with Yee, Lee Peng) The Kubota integral. 92a:26005 

Vyborny, Rudolf see Bullen, P. S., 92d:26016 

Yannelis, Nicholas C. On the upper and lower semicontinuity of the Aumann integral. 
924:26021 

Yee, Lee Peng see Soedijono, Bambang, 92a:26005 


Items with secondary classifications in 26A39 

Brandi, Primo (with Salvadori, Anna) Carathéodory extension process and applications to 
Weierstrass-type integrals. 92g:49040 

Chew, Tuan Seng (with Flordeliza, Francisco) On x’ = f(t, x) and Henstock-Kurzweil 
integrals. 92h:34009 

Dougherty, Randall L. (with Kechris, Alexander S.) The complexity of antidifferentiation. 
92h:03072 

Flordeliza, Francisco see Chew, Tuan Seng, 92h:34009 

Fraikovdé, Dana Nonabsolutely convergent series. 92i:40001 

Gordon, Russell A. Riemann integration in Banach spaces. 92k:28017 

Kechris, Alexander S. see Dougherty, Randall L., 92h:03072 

Mawhia, Jean L. (with Pfeffer, Washek F.) Hake’s property of a multidimensional 
generalized Riemann integral. 92b:26023 

Pfeffer, Washek F. see Mawhin, Jean L., 92b:26023 

Salvadori, Anna see Brandi, Primo, 92g:49040 

Stepanov, V. D. Two-weight estimates for Riemann-Liouville integrals. (Russian) 
92b:44006 


26A42 Integrals of Riemann, Stieltjes and Lebesgue type 
[see also 28-XX] 


Botsko, Michael W. A fundamental theorem of calculus that applies to all Riemann 
integrable functions. 

Cater, F.S. Upper and lower generalized Riemann integrals. 92f:26016 

Das, A. G. see Ray, Swapan Kumar, 92b:26017 

Pfeffer, Washek F. A Riemann type definition of a variational integral. 92c:26008 

Ray, Swapan Kumar (with Das, A.G.) A new definition of generalized Riemann Stieltjes 
integral. 92b:26017 

Révész, Szilard Gy. (with Ruzsa, Imre Z.) On approximating Lebesgue integrals by 
Riemann sums. 92g:26011 

Ruzsa, Imre Z. see Révész, Szilard Gy., 92g:26011 

Shi, Ping Sui (with Wang, Kui De) Generalizations of properties of generalized integrals 
with parameters. (Chinese) 92b:26018 

, Wang, Kui De see Shi, Ping Sui; et al., 92b:26018 


Items with secondary classifications in 26A42 

Brandi, Primo (with Salvadori, Anna) A quasi-additivity type condition and the integral 
over a BV variety. 92b:49079 

Das, A. G. see Ray, Swapan Kumar, 92g:26010 

Gordon, Russell A. The inversion of approximate and dyadic derivatives using an extension 
of the Henstock integral. 92b:26015 

— Riemann integration in Banach spaces. 92k:28017 

Henstock, Ralph * The general theory of integration. 92k:26011 

Lee, Peng Yee see Lu, Shi Pan, 92f:26014 and Ma, Zheng Min, 92£:26015 

La, Shi Pan (with Lee, Peng Yee) Globally small Riemann sums and the Henstock integral. 
92£:26014 

Ma, Zheng Min (with Lee, Peng Yee) An overview of classical integration theory. 
92f:26015 

Nakanishi, Shizu On controlled convergence theorem for Henstock-Kurzweil integrals. 
92b:26016 

Ray, Swapan Kumar (with Das, A.G.) A new definition of RS; integral and generalized 
Stieltjes resultant. 92g:26010 

Salvadori, Anna see Brandi, Primo, 92b:49079 

Selvaraj, S. A note on Riemann sums and improper integrals related to the prime number 
theorem. 92f:11121 

Soedijono, Bambang (with Yee, Lee Peng) The Kubota integral. 92a:26005 

Yee, Lee Peng see Soedijono, Bambang, 92a:26005 


26A45 Functions of bounded variation, generalizations 


Ambrosio, Luigi Metric space valued functions of bounded variation. 924:26022 

Bardaro, Carlo (with Vinti, Gianluca) On convergence of moment operators with respect to 
9-variation. 92h:26013 

Berezhnoi, E.I. On a set of correctable functions of bounded p-variation. (Russian) (see 
92m:46002) 

Frankova, Dana Regulated functions. (Czech summary) 924:26023 

Kita, Hirod (with Yoneda, K.) A generalization of bounded variation. 92f:26017 


REAL FUNCTIONS 


1992 382 


Korenovskii, A. A. The connection between mean oscillations and exact exponents of 
summability of functions. (Russian) 92b:26019 

Kudryavtsev, L. D. Necessary and sufficient conditions for stabilization of a function to a 
polynomial as the argument tends to infinity. (Russian) 92c:26009 

Pallara, Diego Some new results on functions of bounded variation. (Italian summary) 
92£:26018 

Prus-Wisniowski, Franciszek Some remarks on functions of bounded g-variation. 
92g:26012 

— Continuous functions of bounded g-variation. 92m:26010 

Sarkhel, D. N. A new approach to kth variation. 92a:26006 

Schembari, N. Paul (with Schramm, Michael) ®V[h] and Riemann-Stieltjes integration. 
92g:26013 

Schramm, Michael see Schembari, N. Paul, 92g:26013 

Thomson, Brian S. Symmetric variation. 92k:26012 

Vinti, Gianluca see Bardaro, Carlo, 92h:26013 

Yoneda, K. see Kita, Hirod, 92f:26017 


Items with secondary classifications in 26A45 

Das, A. G. (with Lahiri, B. K.) Most k-convex functions are not (k) singular. 92g:26015 

— see also Ray, Swapan Kumar, 92b:26017 

Geluk, J. L. On slowly varying solutions of the linear second order differential equation. 
924:34111 

Guo, Shun Sheng see Wang, Yuan Kui; et al., 92h:41049 

Kurzweil, Jaroslav (with Mawhin, Jean L.; Pfeffer, Washek F.) An integral defined by 
approximating BV partitions of unity. 92k:26026 

Lahiri, B. K. see Das, A. G., 92g:26015 

Leader, S. Variation of f on E and Lebesgue outer measure of fE. 92j:26009 

Mawhin, Jean L. see Kurzweil, Jaroslav; et al., 92k:26026 

Pfeffer, Washek F. see Kurzweil, Jaroslav; et al., 92k:26026 

Ray, Swapan Kumar (with Das, A.G.) A new definition of generalized Riemann Stieltjes 
integral. 92b:26017 

Wang, Yuan Kui (with Guo, Shun Sheng) Rate of approximation of functions of bounded 
variation by modified Lupas operators. 92h:41049 


26A46 Absolutely continuous functions 


Items with secondary classifications in 26A46 

Bardaro, Carlo (with Vinti, Gianluca) On convergence of moment operators with respect to 
9-variation. 92h:26013 

Vinti, Gianluca see Bardaro, Carlo, 92h:26013 


26A48 Monotonic functions, generalizations 


Matkowski, Janusz (with Swiatkowski, Tadeusz) Quasi-monotonicity, subadditive 
bijections of R,, and characterization of L’-norm. 92g:26014 

Mazzoleni, Piera Some properties of generalized monotonicity. (Italian. English summary) 
92m:26011 

Mitrinovié, Dragoslav S. (with Peéari¢, Josip E.) On some inequalities for monotone 
functions. (Italian summary) 92h:26014 

Petari¢, Josip E. see Mitrinovi¢é, Dragoslav S., 92h:26014 

Swiatkowski, Tadeusz see Matkowski, Janusz, 92g:26014 


Items with secondary classifications in 26A48 

Mitrinovi¢, Dragoslav S. (with Peéari¢, Josip E.) * Monotone funkcije i njihove nejed- 
nakosti. (Serbo-Croatian) [Monotone functions and their inequalities] 92d:26025 

Neeb, Karl-Hermann The duality between subsemigroups of Lie groups and monotone 
functions. 92e:22015 

Petari¢, Josip E. see Mitrinovi¢, Dragoslav S., 92d:26025 

Petukhov, A. P. Dependence of the properties of the graph of a function on the rate of its 
various approximations. (Russian) 92j:41018 

Rinne, D. A restricted symmetric derivative for continuous functions of two variables. 
92¢:26004 

(Taskovi¢, Milan R.) see Mitrinovi¢, Dragoslav S., 92d:26025 


26A51 Convexity, generalizations 


Alzer, Horst Eine Ungleichung fiir konvexe Funktionen. [An inequality for convex 
functions] 92k:26013 

Buczolich, Zoltan Convexity and symmetric derivates of measurable functions. 92a:26007 

Das, A. G. (with Lahiri, B. K.) Most k-convex functions are not (k) singular. 92g:26015 

Kocié, Ljubisa M. Symmetric derivatives and convexity classes of Ovéarenko. 92c:26010 

Lahiri, B. K. see Das, A. G., 92g:26015 

Mathsen, Ronald M. (with Ubhaya, Vasant A.) Generalized convex functions and best Lp 
approximation. 92f:26019 

Nikodem, Kazimierz On the support of midconvex operators. 92g:26016 

Reshetnyak, Yu. G. On an asymptotical structure of a convex function [translation of Trudy 
Inst. Mat. (Novosibirsk) 21 (1991), to appear]. 92k:26014 

Ubhaya, Vasant A. see Mathsen, Ronald M.., 92f:26019 

Wa, Hou Xin (with Zou, Xin Di) Convex functions and their applications in probability 
theory. (Chinese) 92b:26020 

Zou, Xin Di see Wu, Hou Xin; et al., 92b:26020 


Items with secondary classifications in 26A51 

Agbeko, N. K. Necessary and sufficient condition for the maximal inequality of concave 
Young-functions. 92a:26021 

Alzer, Horst (with Petarié, Josip E.) Bounds for the ratio of the moments of nonnegative 
concave functions. (Serbo-Croatian summary) 92m:26015 

Arslanagi¢, Sefket see Dragomir, Sever Silvestru, 92k:26042 

Craven, B. D. see Sach, P. H., 92k:90083 





383 1992 


Dragomir, Sever Silvestru (with Arslanagi¢, Sefket) A refinement of Cauchy-Buniakowski- 
Schwarz inequality for real numbers. (Serbo-Croatian summary) 92k:26042 

Dragomirescu, Mihai (with Ivan, Constantin) Extensions of Jensen’s inequality. II. 
92b:26033 

Fodor, Janos C. On domains of attraction of extreme value distributions via generalized 
concavity-convexity. 92c:60051 


Gal, S.G. Calculus of the modulus of continuity for nonconcave functions and applications. 


92k:41014 

Ivan, Constantin see Dragomirescu, Mihai, 92b:26033 

Kominek, Zygfryd On (a, b)-convex functions. 92k:46016 

Petari¢, Josip E. Extension of an interpolation of Jensen’s inequality. 92k:26048 

— see also Alzer, Horst, 92m:26015 

Precup, Radu Convex functions of order n and P,-simple functionals. 924:41048 

Sach, P. H. (with Craven, B. D.) Invexity in multifunction optimization. 92k:90083 

Schelihorn, Jean-Pierre Generalized inverses and generalized convexity. 92¢:44008 

Xia, Wei Ci The converse of the Lagrange mean value theorem. (Chinese. English summary) 
92k:26007 

Yang, Zhen Hang Inequalities for power means of convex functions. (Chinese) 92f:26041 


26A99 None of the above, but in this section 


Bukovské, Zuzana (with Salat, Tibor) Some types of convergence of sequences of real- 
valued functions. (Russian and Slovak summaries) 92k:26016 

— Quasinormal convergence. 92k:26015 

Ceder, Jack G. (with Humke, Paul D.) On series representation of functions. 92¢:26005 

Fehér, L. Gy. (with Laczkovich, Miklés; Tardos, G.) Croftian sequences. 92k:26017 

Feng, Cheng Jin The problem of the extremal values of mean value functions. (Chinese. 
English summary) 92f:26020 

Filipezak, Tomasz A note on topologies related to (x*)-porosity. 92a:26010 

Gu, Hai Wei (with Zhao, Li Kuan) A discussion on the convergence and divergence of a 
class of trigonometric series. (Chinese) 92a:26008 

Humke, Paul D. see Ceder, Jack G., 92e:26005 

Kelar, Vaclav Topologies generated by porosity and strong porosity. 92a:26009 

Kudryavtsev, L. D. On the estimation of a function of an infinite interval. (Russian) 
92g:26017 

Laczkovich, Miklés see Fehér, L. Gy.; et al., 92k:26017 

Li, Zeng Hu Integral representations of continuous functions. 92k:26018 

Merentes, Nelson A new characterization of the Riesz class Ap. 92b:26021 

Repicky, Miroslav Additivity of porous sets. 92a:26011 

Salat, Tibor see Bukovska, Zuzana, 92k:26016 

Tardos, G. see Fehér, L. Gy.; et al., 92k:26017 

Zhao, Li Kuan see Gu, Hai Wei; et al., 92a:26008 


Items with secondary classifications in 26A99 

Almkvist, Gert (with Zeilberger, Doron) The method of differentiating under the integral 
sign. 924:26003 

Korenovskii, A. A. The connection between mean oscillations and exact exponents of 
summability of functions. (Russian) 92b:26019 

Tiger, J. (with Zajitek, Ludék) Typical measurable function in the topology of close 
approximation. 92k:28016 

Zajitek, Ludék see TiSer, J., 92k:28016 

Zeilberger, Doron see Almkvist, Gert, 92d:26003 


26Bxx Functions of several variables 


Items with secondary classifications in 26Bxx 
Srivastava, Pramila * Functions of several variables. 92i:26004 


26B05 Continuity and differentiation questions 


Alberti, Giovanni A Lusin type theorem for gradients. 92g:26018 

Isakov, N. M. (with Mukamba, F.) Local approximations of approximately differentiable 
functions. (Russian) 92k:26019 

Mukamba, F. see Isakov, N. M., 92k:26019 

Pallaschke, Diethard (with Recht, P.; Urbanski, Ryszard) Generalized derivatives for 
nonsmooth functions. 92k:26020 

Polexe, Raluca Deux critéres pour la régularité des mesures vectorielles. (Romanian 
summary) [Two criteria for the regularity of vector measures] 

Recht, P. see Pallaschke, Diethard; et al., 92k:26020 

Tutschke, Wolfgang Optimal bounds for the derivative with respect to a parameter and an 
application to partial complex differential equations. (see 92a:00039) 

Urbatiski, Ryszard see Pallaschke, Diethard; et al., 92k:26020 


Items with secondary classifications in 26B05 

Akhunov, I. S. On a connection between the quasidifferential and the Clarke subdifferential. 
(Russian. English and Azerbaijani summaries) 92i:49028 

Bates, S. M. On the image size of singular maps. I. 92f:58015 

Berezhnoi, E.1I. Differential bases and symmetric spaces. (Russian) 92d:46072 

Krtscha, Manfred (with Volkmann, Peter) Uber die Stetigkeit einer Funktion von zwei 
Veranderlichen unter Monotonie-Bedingungen. (English summary) [On the continuity of 
a function of two variables under conditions of monotonicity] 92m:54027 

Lenze, Burkhard A hyperbolic modulus of smoothness for multivariate functions of 
bounded variation. 92g:41025 

Luderer, Bernd (with Résiger, R.; Wiirker, U.) On necessary minimum conditions in 
quasidifferential calculus: independence of the specific choice of quasidifferentials. 
92i:49030 

Neves, Vitor Smoothness from finite points. 92i:03073 

Résiger, R. see Luderer, Bernd; et al., 92i:49030 





26B Functions of several variables 


26B25 


Saint-Raymond, Jean Fonctions séparément analytiques. (English summary) [Separately 
analytic functions} 92c:26014 

Seeger, Alberto Complément de Schur et sous-différentiel du second ordre d’une fonction 
convexe. (English summary) [Schur complement and second-order differential of a convex 
function] 92¢:49025 

Volkmann, Peter see Krtscha, Manfred, 92m:54027 

Wiirker, U. see Luderer, Bernd; et al., 92i:49030 

Yoshikawa, Atsushi Note on the Taylor expansion of smooth functions defined on Sobolev 
spaces. 92h:46047 


26B10 Implicit function theorems, Jacobians, transformations 
with several variables 


Cater, F.S. A global implicit function theorem. 92a:26012 

Skripnik, V. P. A connection between an implicit function and solutions of a singularly 
perturbed equation. (Russian) 92g:26019 

Torgashova, N. E. Implicit and inverse function theorems in quasidifferential calculus. 
(Russian) 92b:26022 


Items with secondary classifications in 26B10 

Chou, Chin Ch’éng Inverse function theorems for multifunctions in Fréchet spaces. 
92k:49026 

Crnjac, Miljenko (with Miller, Harry I.) On the image of two sets of positive outer Lebesgue 
measure in R". (Russian and Slovak summaries) 92h:28002 

Jongen, Hubertus Th. (with Klatte, Diethard; Tammer, Klaus) Implicit functions and 
sensitivity of stationary points. 92i:90101 

Klatte, Diethard see Jongen, Hubertus Th.; et al., 92i:90101 

Korner, T. W. Differentiable functions on the rationals. 92h:26009 

Kummer, Bernd An implicit-function theorem for C°'-equations and parametric C!-!- 
optimization. 92f:49006 

— Lipschitzian inverse functions, directional derivatives, and applications in C'-' optimiza- 
tion. 92¢:49023 

Meisters, Gary Hosler (with Olech, Czeslaw) A Jacobian condition for injectivity of 
differentiable plane maps. 92e:58023 

Miller, Harry I. see Crnjac, Miljenko, 92h:28002 

Olech, Czesiaw see Meisters, Gary Hosler, 92e:58023 

Robinson, Stephen M. An implicit-function theorem for a class of nonsmooth functions. 
92g:58013 

Tammer, Klaus see Jongen, Hubertus Th.; et al., 92i:90101 

Torgashova, N. E. A theorem on a second-order implicit function in codifferential calculus. 
(Russian. English summary) 92h:58024 

Zhuraviév, I. V. Reconstruction of a mapping from a normalized Jacobian matrix. (Russian) 
92k:30039 


26B15 Integration: length, area, volume [see also 28A75, 51M25] 


Mawhin, Jean L. (with Pfeffer, Washek F.) Hake’s property of a multidimensional 
generalized Riemann integral. 92b:26023 

Moshchevitin, N.G. Nonrecurrence of an integral of a conditionally periodic function. 
(Russian) 92k:26021 

Pfeffer, Washek F. see Mawhin, Jean L., 92b:26023 

Posteraro, M. Rosaria A remark on rearranging the gradient of a function. (Italian. English 
summary) 92k:26022 

Volchkov, V. V. Functions with zero integrals over cubes. (Russian. Ukrainian summary 
92j:26011 


Items with secondary classifications in 26B15 

Acharya, B. P. (with Das, Rabindra Nath’; Pattnaik, T. N.) On symmetric integration rules 
for weighted integrals. 92j:65024 

Das, Rabindra Nath? see Acharya, B. P.; et al., 92j:65024 

Harrison, Jenny (with Norton, Alec) Geometric integration on fractal curves in the plane. 
92m:28011 

Jones, Peter Wilcox The traveling salesman problem and harmonic analysis. 92¢:42013 

Matioka, Marian A double integral of fuzzy mapping. 92c:26015 

Norton, Alec see Harrison, Jenny, 92m:28011 

Pattnaik, T. N. see Acharya, B. P.; et al., 92j:65024 

Sidorenko, A. F. Inequalities for functionals generated by bipartite graphs. (Russian) 
92h:05136 

Torchinsky, Alberto (with Wang, Shi Lin) A note on the Marcinkiewicz integral. 92e:42011 

Wang, Shi Lin see Torchinsky, Alberto, 92e:42011 


26B20 Integral formulas (Stokes, Gauss, Green, etc.) 


Bai, Hong (with Sun, Yu Shan) On some conditions under which the values of integrals are 
zero. 92k:26023 

Pfeffer, Washek F. The Gauss-Green theorem. 92b:26024 

Sun, Yu Shan see Bai, Hong; et al., 92k:26023 


Items with secondary classifications in 26B20 

Darchen, Jean-Claude Intégration sur un ensemble stratifié. (English summary) [Integration 
on a stratified set] 92c:58003 

Lyantse, V. E. The Stokes formula for functions of a discrete argument. (Russian. English 
summary) 92m:26018 

Ostaszewski, Krzysztof Henstock integral. 


26B25 Convexity, generalizations 


Breckner, Wolfgang W. Generalized quasiconvex functions. 92j:26012 
Brydak, Dobiestaw A property of generalized convex functions. 92i:26013 





26B25 


Chen, Qi Hong Convex-like functions of two variables. (Chinese. English summary) 
92£:26021 

Kar, K. (with Nanda, Sudarsan; Mishra, M. S.) Generalization of convex and related 
functions. 92g:26020 

Mezey, Paul G. The a, f, y-hull and the 7-hull of a point set: tools for the analysis of shapes 
and relative orientations of objects in 3D-space. 92h:26015 

Mishra, M.S. see Kar, K.; et al., 92g:26020 

Nanda, Sudarsan see Kar, K.; et al., 92g:26020 

Rockafellar, R.T. Ona special class of convex functions. 92k:26024 

Sverak, Viadimir Quasiconvex functions with subquadratic growth. 92f:26022 

Zagrodny, D. An example of bad convex function. 92:26023 


Items with secondary classifications in 26B25 

Alibert, Jean-Jacques (with Dacorogna, Bernard) An example of a quasiconvex function 
that is not polyconvex in two dimensions. 92k:49019 

Balogh, Z. (with Kassay,G.) On convexity of implicit functions. (see 92m:00032) 

Chang, Geng Zhe (with Chen, Fa Lai) A short proof of a converse theorem of convexity for 
Bernstein polynomials over simplices. (Chinese. English summary) 92f:41014 

Chen, Fa Lai see Chang, Geng Zhe; et al., 92f:41014 

Correa, R. (with Jofré, A.; Thibault, Lionel) Characterization of lower semicontinuous 
convex functions. 92k:49027 

Dacorogna, Bernard see Alibert, Jean-Jacques, 92k:49019 

Gorni, Gianluca Conjugation and second-order properties of convex functions. 92g:49030 

Govindarajulu, P. Characterization of strictly convex functions. 92g:52009 

Hiriart-Urruty, Jean-Baptiste How to regularize a difference of convex functions. 92j:49011 

Hu, Xiang Jun A proof and applications of a proposition. (Chinese. English summary) 
92g:26031 

Jofré, A. see Correa, R.; et al., 92k:49027 

Kassay, G. see Balogh, Z., (92m:00032) 

Kominek, Zygfryd Convex functions and epigraphs. (Serbo-Croatian summary) 92a:46009 

Martinez-Legaz, Juan-Enrique Weak lower subdifferentials and applications. 92¢:49019 

Moudafi, A. Sur les valeurs selles de fonctions convexes-concaves non nécessairement 
coercives. (English summary) [On the saddle values of not necessarily coercive convex- 
concave functions] 92¢:49013 

Miller, Stefan On quasiconvex functions which are homogeneous of degree 1. 92m:49022 

Petarié, Josip E. Some inequalities for generalized convex functions of several variables. 
92k:26035 

Pini, Rita Invexity and generalized convexity. 92g:52001 

Rapcsak, T. Geodesic convexity in nonlinear optimization. 92d:90087 

Sun, Jie On the structure of convex piecewise quadratic functions. 92k:90061 

Thibault, Lionel see Correa, R.; et al., 92k:49027 


26B30 Absolutely continuous functions, functions of bounded 
variation 

Boyarsky, Abraham see Gora, Pawel, 92k:26025 

Gevorkyan, G. G. see Talalyan, A. A., 92b:26025 

Géra, Pawel (with Boyarsky, Abraham) On functions of bounded variation in higher 
dimensions. 92k:26025 

Kurzweil, Jaroslav (with Mawhin, Jean L.; Pfeffer, Washek F.) An integral defined by 
approximating BV partitions of unity. 92k:26026 

Mawhin, Jean L. see Kurzweil, Jaroslav; et al., 92k:26026 

Pfeffer, Washek F. see Kurzweil, Jaroslav; et al., 92k:26026 

Talalyan, A. A. (with Gevorkyan, G.G.) Representation of absolutely continuous functions 
of several variables. (Russian) 92b:26025 








Items with secondary classifications in 26B30 


Gutmann, Sam (with Kemperman, J. H. B.; Reeds, J. A.; Shepp, Lawrence A.) Existence of 
probability measures with given marginals. 92m:28016 

Kemperman, J. H. B. see Gutmann, Sam; et al., 92m:28016 

Pallara, Diego New theorems on functions of bounded variation. (Italian. English 
summary) 92a:49021 

Reeds, J. A. see Gutmann, Sam; et al., 92m:28016 

Shepp, Lawrence A. see Gutmann, Sam; et al., 92m:28016 


26B35 Special properties of functions of several variables, Holder 
conditions, etc. 


Buczolich, Zoltan Density points and bi-Lipschitz functions in R”. 92k:26027 

Budagov, A. A. Peano curves and moduli of continuity. (Russian) 92k:26028 

Griewank, Andreas (with Jongen, Hubertus Th.; Kwong, Man Kam) The equivalence of 
strict convexity and injectivity of the gradient in bounded level sets. 92f:26024 

Jongen, Hubertus Th. see Griewank, Andreas; et al., 92f:26024 

Kwong, Man Kam see Griewank, Andreas; et al., 92f:26024 

Sokolov, B. V. Uniform continuity and limit sets of monotone mappings of class L}. 
(Russian) 92h:26016 


Items with secondary classifications in 26B35 

Ferone, Vincenzo (with Posteraro, M. Rosaria) Maximization on classes of functions with 
fixed rearrangement. 92i:90118 

Gibson, R.G. see Rosen, Harvey; et al., 92m:54030 

Kim, Jin Bai n-dimensional sine and cosine functions. 92j:51025 

Martinez-Legaz, Juan-Enrique Weak lower subdifferentials and applications. 92¢:49019 

Meerschaert, Mark M. Regular variation in R‘ and vector-normed domains of attraction. 
92£:60039 

Nikol’skii, S. M. Approximation on a manifold by traces of functions of exponential type. 
(Russian) 92k:46052 

Pawlak, Ryszard Jerzy On Zahorski classes of functions of two variables. 92a:54017 

Posteraro, M. Rosaria see Ferone, Vincenzo, 92i:90118 


REAL FUNCTIONS 


1992 384 


Rosen, Harvey (with Gibson, R. G.; Roush, F. W.) Extendable functions and almost 
continuous functions with a perfect road. 92m:54030 

Roush, F. W. see Rosen, Harvey; et al., 92m:54030 

Rozenfel’d, E. A. Two embedding theorems. (Russian) 92a:46036 

Strichartz, Robert S. H? Sobolev spaces. 92f:46043 

Treiman, J.S. An infinite class of convex tangent cones. 92¢:49028 


26B40 Representation and superposition of functions 


Gokhman, A. O. Representation of differentiable symmetric functions in different bases. 
(Russian) 92g:26021 

Medvedev, V. A. Optimal representation of functions by the sum of two compositions. 
(Russian) 92k:26030 

— On the representation of functions by the sum of several compositions. (Russian) 
92k:26029 

Metropolis, N. (with Rota, Gian-Carlo) Symmetry classes: functions of three variables. 
92d:26024 

Neuman, Frantisek (with Rassias, Themistocles M.) Functions decomposable into finite 
sums of products (old and new results, problems and trends). 92k:26031 

Rassias, Themistocles M. see Neuman, Frantisek, 92k:26031 

Rota, Gian-Carlo see Metropolis, N., 92d:26024 


Items with secondary classifications in 26B40 

Cadek, Martin (with SimSa, Jaromir) Decomposition of smooth functions of two 
multidimensional variables. 92k:58029 

Grande, Zbigniew Derivatives and the Carathéodory superposition. 92h:26007 

Jaskélski, Mirosiaw Some convolutions on the Euclidean plane. 92f:44012 

Khvostov, A. P. Formulas that express polynomials of best approximation of fixed orders for 
some forms of functions of two variables. (Russian) (see 92d:28002) 

Li, Zeng Hu Integral representations of continuous functions. 92k:26018 

Markina, I.G. The change of variable that preserves the differential properties of functions. 
(Russian) 924:46086 

Obretenov, A. On the dependence function of Sibuya in multivariate extreme value theory. 
92£:60090 

SimSa, Jaromir see Cadek, Martin, 92k:58029 


26B99 None of the above, but in this section 


Alzer, Horst Uber eine zweiparametrige Familie von Mittelwerten. [On a two-parameter 
family of mean values] 92g:26022 

Deng, Dong Gao (with Wu, Sheng Zhong) The needle problem and the theorem on 
differentiation of an integral. (Chinese. English summary) 92a:26013 

Taberski, Roman On partial power variations and averaged moduli of continuity. 92f:26025 

Wu, Sheng Zhong see Deng, Dong Gao; et al., 92a:26013 


Items with secondary classifications in 26B99 


Agrawal, B. M. see Gupta, S. C., 92j:33026 

Ash, J. Marshall (with Gatto, A. Eduardo; Vagi, Stephen) A multidimensional Taylor’s 
theorem with minimal hypothesis. 92b:26001 

Gatto, A. Eduardo see Ash, J. Marshall; et al., 92b:26001 

Gupta, S.C. (with Agrawal, B. M.) Double Dirichlet average and fractional derivative. 
92j:33026 

Jones, K.R. W. Riemann-Liouville fractional integration and reduced distributions on 
hyperspheres. 92d:26012 

Lluna Reig, Luis Fractional operational calculus based on the two-dimensional Laplace 
transform. (Spanish. English summary) (see 92m:00049) 

Pachpatte, B.G. On Lieb and Thirring type discrete inequalities. 92i:26018 

Vagi, Stephen see Ash, J. Marshall; et al., 92b:26001 


26Cxx Polynomials, rational functions 


26C05 Polynomials: analytic properties, etc. [see also 12Dxx, 
12Exx] 


Bailey, D. F. A mean-value property of cubic polynomials—without mean values. 
Pirgov, D. T. An estimate for the modulus of a class of polynomials in a given interval. 
(Bulgarian. English and Russian summaries) 92k:26032 


Items with secondary classifications in 26C05 

Erdélyi, Tamas A Markov-type inequality for the derivatives of constrained polynomials. 
92b:26026 

— A sharp Remez inequality on the size of constrained polynomials. 92b:26027 

Gokhman, A. O. Representation of differentiable symmetric functions in different bases. 
(Russian) 92g:26021 

Guessab, Allal A note on extremal problems for polynomials with nonnegative coefficients. 
(Serbo-Croatian summary) 92h:41014 

Impens, Chris Les polynémes non standard. (English summary) [Nonstandard polynomials] 
92£:26046 

Iserles, A. (with Koch, Per Erik; Norsett, S. P.; Sanz-Serna, J. M.) On polynomials 
orthogonal with respect to certain Sobolev inner products. 92b:42029 

Koch, Per Erik see Iserles, A.; et al., 92b:42029 

Marinkovi¢, Lidija Z. see Milovanovi¢, Gradimir V., 92h:41032 

Milovanovié, Gradimir V. (with Marinkovié, Lidija Z.) Extremal problems for coefficients 
of algebraic polynomials. (Serbo-Croatian summary) 92h:41032 

Nersett, S. P. see Iserles, A.; et al., 92:42029 

Petukhov, A. P. Dependence of the properties of the graph of a function on the rate of its 
various approximations. (Russian) 92j:41018 

Sanz-Serna, J. M. see Iserles, A.; et al., 92b:42029 

Weit, Yitzhak On a generalized asymptotic mean value property. 92j:30039 





385 1992 


26C10 Polynomials: location of zeros [see also 12D10, 30C15, 
65H05] 


Buhmann, Martin D. (with Rivlin, Theodore J.) A Gauss-Lucas type theorem on the 
location of the roots of a polynomial. 92i:26014 

Castro Fernandez, Edwin (with Mora A., Gerardo) Real polynomials in one real variable, 
their real roots, and numerical methods. (Spanish) (see 92e:00013) 

Kuyk, Willem see Smits, Lieven, 92g:26023 

Mora A., Gerardo see Castro Fernandez, Edwin, (92e:00013) 

Rivlin, Theodore J. see Buhmann, Martin D., 92i:26014 

Smits, Lieven (with Kuyk, Willem) Winding number and the number of real zeros of a 
function. 92g:26023 


Items with secondary classifications in 26C10 


Bilodeau, G. G. Generating polynomials all of whose roots are real. 92g:12001 

Chen, Shu Ping An algebraic criterion for real polynomials with pure imaginary zeros. 
(Chinese. English summary) 92c:12001 

Dilcher, Karl Zeros of certain cyclotomy-generated polynomials. 92g:12002 

— Real Wronskian zeros of polynomials with nonreal zeros. 92c:30005 

— (with Stolarsky, Kenneth B.) Zeros of the Wronskian of a polynomial. 92m:30008 

Erdélyi, Tamas Estimates for the Lorentz degree of polynomials. 92m:41023 

Ismail, Mourad El Houssieny (with Li, Xin>) Bound on the extreme zeros of orthogonal 
polynomials. 92h:33019 

Jain, Vinay Kumar On Cauchy’s bound for zeros of a polynomial. 92g:30006 

Kumar, Sampath (with Shenoy, B. G.) On the location of the critical points of certain 
quartic polynomials. 92i:30006 

Li, Xin? see Ismail, Mourad El Houssieny, 92h:33019 

Meguerditchian, Ivan Géométrie locale des polynémes hyperboliques. (English summary) 
[Local geometry of hyperbolic polynomials] 92f:12002 

Mercer, A. McD. A note on the zero distribution of orthogonal polynomials. 92b:42031 

Mhaskar, H. N. (with Saff, E. B.) The distribution of zeros of asymptotically extremal 
polynomials. 924:30005 

Morelli, A. (with Verna, I.) Some remarks on the asymptotic behavior of the zeros of 
certain sequences of a-orthogonal polynomials. (Italian. English summary) 92j:42027 

Rassias, Themistocles M. On certain properties of polynomials and their derivative. 
92m:30009 

Saff, E. B. see Mhaskar, H. N., 92d:30005 

Shenoy, B. G. see Kumar, Sampath, 92i:30006 

Stolarsky, Kenneth B. see Dilcher, Karl, 92m:30008 

Verna, I. see Morelli, A., 92j:42027 


26C15 Rational functions [see also 14Pxx] 
Maifik, Jan A note on integration of rational functions. (Czech summary) 92k:26033 


26C99 None of the above, but in this section 


Items with secondary classifications in 26C99 

Dillen, Franki Polynomials with constant Hessian determinant. 92b:13011 

Kolaf, Miroslav see Sasaki, Tateaki; et al., 92j:12002 

Mercer, A. McD. A new proof of a theorem about generalized orthogonal polynomials. 
92g:42013 

Sasaki, Mutsuko see Sasaki, Tateaki; et al., 92j:12002 

Sasaki, Tateaki (with Suzuki, Masayuki; Kolaf, Miroslav; Sasaki, Mutsuko) Approximate 
factorization of multivariate polynomials and absolute irreducibility testing. 92j:12002 

Suzuki, Masayuki see Sasaki, Tateaki; et al., 92j:12002 


26Dxx Inequalities {For maximal function inequalities, 
see 42B25; for functional inequalities, see 39B72; 
for probabilistic inequalities, see 60E15.} 


Mitrinovi¢, Dragoslav S. (with Petari¢, Josip E.) * Monotone funkcije i njihove nejed- 
nakosti. (Serbo-Croatian) [Monotone functions and their inequalities] 92d:26025 

— (with Peéarié, Josip E.) * Hdlderova i srodne nejednakosti. (Serbo-Croatian) [Hélder 
and related inequalities] 92d:26026 

— (with Peéarié, Josip E.) * Nejednakosti i norme. (Serbo-Croatian) [Inequalities and 
norms] 92m:26012 

Petari¢, Josip E. see Mitrinovi¢, Dragoslav S., 92d:26025; 92d:26026 and 92m:26012 

(Taskovi¢, Milan R.) see Mitrinovi¢, Dragoslav S., 92d:26025 

Triebel, Hans Inequalities in the theory of function spaces: a tribute to Hardy, Littlewood 
and Pélya. 92¢:26006 

(Veljan, Darko) see Mitrinovi¢, Dragoslav S., 92d:26026 


Items with secondary classifications in 26Dxx 


Kolyada, V.I. Estimates of rearrangements and embedding theorems. 92c:46031 
(Trzeciak, Jerzy) see Kolyada, V. I., 92c:46031 


26D05 Inequalities for trigonometric functions and polynomials 

Erdélyi, Tamas A Markov-type inequality for the derivatives of constrained polynomials. 
92b:26026 

— A sharp Remez inequality on the size of constrained polynomials. 92b:26027 

Nasibov, F.G. Extremal problems for polynomials. (Russian) 92k:26034 


Items with secondary classifications in 26D05 


Arslanagi¢, Sefket see Dragomir, Sever Silvestru, 92k:26042 
Dragomir, Sever Silvestru (with Arslanagi¢, Sefket) A refinement of Cauchy-Buniakowski- 
Schwarz inequality for real numbers. (Serbo-Croatian summary) 92k:26042 


26D Inequalities 


26D15 


von Golitschek, Manfred Short proofs for the inequalities of Szegs, Markov and Zygmund. 
92j:41025 

Varma, A. K. On some extremal properties of algebraic polynomials. 92m:41042 

Xu, Yuan The Marcinkiewicz-Zygmund inequality with derivatives. 92k:42039 


26D07 Inequalities involving other types of functions 


Dragomir, Sever Silvestru On an inequality of Tiberiu Popoviciu. I. (see 90m:41003) 

Madevski, Z. On inequality (GI; 5.47). (Macedonian summary) 92m:26013 

Mitrinovi¢, Dragoslav S. (with Petari¢, Josip E.) On Bernoulli’s inequality. (Serbo-Croatian 
summary) 

Pales, Zsolt On Young-type inequalities. 92d:26027 

Petéari¢, Josip E. Some inequalities for generalized convex functions of several variables. 
92k:26035 

— see also Mitrinovi¢, Dragoslav S. 

Sandor, Jézsef A note on some inequalities for means. 92d:26028 

Stroffolini, B. On some extensions of Hardy-Littlewood inequality. 92a:26014 

Wilson, J. Michael Some two-parameter square function inequalities. 92m:26014 


Items with secondary classifications in 26D07 

Alzer, Horst Eine Ungleichung fiir konvexe Funktionen. [An inequality for convex 
functions] 92k:26013 

Bissu, S. K. see Joshi, C. M., 92d:33007 

Joshi, C.M. (with Bissu, S. K.) Some inequalities of Bessel and modified Bessel functions. 
92d:33007 


26D10 Inequalities involving derivatives and differential and 
integral operators 


Cheung, Wing Sum Some generalized Opial-type inequalities. 92k:26036 

Fink, A. M. On Opial’s inequality for f. 92h:26017 

Gan, Lu Ru see Yang, En Hao; et al., 92f:26030 

Han, Wei Min The best constant in a Sobolev inequality. 92¢c:26011 

Kufarev, B. P. New oscillatory inequalities and some of their applications. (Russian) 
92g:26024 

Kufner, Alois see Opic, Bohumir, 92b:26028 

Merentes, Nelson Morrey’s inequality on the fractional Sobolev space. 92h:26018 

Mitrinovi¢, Dragoslav S. (with Petari¢, Josip E.) Two integral inequalities. 92k:26037 

Ntouyas, S. K. see Tsamatos, P. Ch., 92k:26038 

Opic, Bohumir (with Kufner, Alois) * Hardy-type inequalities. 92b:26028 

Pachpatte, B.G. On an integral inequality in two variables. 92f:26026 

— On Hardy type inequality involving Young functions. 92b:26029 

— Opial type inequality in several variables. 92f:26027 

Petari¢, Josip E. see Mitrinovi¢, Dragoslav S., 92k:26037 

Pinto, Manuel Integral inequalities of Bihari-type and applications. 92a:26015 

Ta Héng Quang On inequalities for derivatives of multivariate functions. 92b:26030 

Tang, Dingyi Discrete Wirtinger and isoperimetric type inequalities. 92f:26028 

Tsamatos, P.Ch. (with Ntouyas, S. K.) On a Bellman-Bihari type integral inequality with 
delay. 92k:26038 

Walter, Wolfgang L. Differential inequalities. 92f:26029 

Yang, En Hao (with Gan, Lu Ru) Some two-independent-variable inequalities involving 
improper integrals. 92f:26030 


Items with secondary classifications in 26D10 

Brown, Richard C. (with Hinton, D. B.) Weighted interpolation inequalities and embed- 
dings in R". 92¢:46038 

Chanillo, Sagua Sobolev inequalities involving divergence free maps. 92mr:42020 

Evans, William Desmond (with Everitt, W. Norrie) Hardy-Littlewood integral inequalities. 
92i:34035 

— (with Everitt, W. Norrie) HELP inequalities for limit-circle and regular problems. 
92i:34036 

Everitt, W. Norrie see Evans, William Desmond, 92i:34035 and 92i:34036 

Gurka, Petr (with Kufner, Alois) A note on a two-weighted Sobolev inequality. 92b:46040 

Han, Wei Min The best constant in a trace inequality in H'. 92¢:46064 

— The best constant in a trace inequality. 92j:35033 

Hinton, D. B. see Brown, Richard C., 92¢:46038 

Hurri-Syrjanen, Ritva The weighted Poincaré inequalities. 92f:46039 

Kallioniemi, Henry The Landau problem on compact intervals and optimal numerical 
differentiation. 92¢:65021 

Kufner, Alois see Gurka, Petr, 92b:46040 

Mitrinovi¢, Dragoslav S. (with Peéarié, Josip E.) On some inequalities for monotone 
functions. (Italian summary) 92h:26014 

Pales, Zsolt On Young-type inequalities. 92d:26027 

Petarié, Josip E. see Mitrinovié, Dragoslav S., 92h:26014 

Ruiz, Alberto (with Vega, Luis) Unique continuation for the solutions of the Laplacian plus 
a drift. (French summary) 92k:35043 

Stepanov, V. D. On the boundedness of linear integral operators on a class of monotone 
functions. (Russian) 92m:47102 

Vega, Luis see Ruiz, Alberto, 92k:35043 


26D15 Inequalities for sums, series and integrals 


Abd El-Rady, A. S. A modified integral inequality in n-dimensional Euclidean space. 

Ahlbrandt, Calvin D. Variational inequalities. 92k:26039 

Alzer, Horst Verallgemeinerung einer Ungleichung von W. Sierpinski. (English and Russian 
summaries) [Generalization of an inequality of W. Sierpifiski] 92g:26025 

— Eine Doppelungleichung fiir Integrale. [A double inequality for integrals] 92h:26019 

— An inequality for the exponential function. 92d:26029 

— A Popoviciu-type inequality for weighted geometric and harmonic means. 92b:26031 

— Converses of two inequalities of Ky Fan, O. Taussky, and J. Todd. 92i:26015 





26D15 


— (with Petarié, Josip E.) Bounds for the ratio of the moments of nonnegative concave 
functions. (Serbo-Croatian summary) 92m:26015 

— On an inequality of Gauss. 92k:26040 

— On an integral inequality of R. Bellman. 92h:26020 

— A sharpening of the arithmetic mean-geometric mean inequality. 92m:26016 

— see also Brenner, J. L., 92g:26026 

Arslanagié, Sefket see Dragomir, Sever Silvestru, 92k:26042 

Bennett, Grahame Some elementary inequalities. III. 92h:26021 

Brenner, J. L. (with Alzer, Horst) Integral inequalities for concave functions with 
applications to special functions. 92g:26026 

Bullen, P.S. Averages still on the move. 92a:26016 

Cheung, Wing Sum Generalizations of Opial-type inequalities in two variables. 92h:26022 


Conlan, James (with Wang, Chung-Lie) A unified approach to Gronwall-Bihari inequalities. 


(Chinese summary) 92k:26041 

D’Apuzzo, Livia (with Sbordone, Carlo) Reverse Hélder inequalities: a sharp result. (Italian 
summary) 92e:26007 

Dragomir, Sever Silvestru An improvement of Jensen’s inequality. 92k:26043 

— (with Arslanagi¢, Sefket) A refinement of Cauchy-Buniakowski-Schwarz inequality for 
real numbers. (Serbo-Croatian summary) 92k:26042 

— see also Petari¢, Josip E., 92a:26018 and 92h:26026 

El-Dawaliby, N. see Zaghrout, Afaf A. S., 92a:26020 

Erbe, Lynn H. (with Kong, Qing Kai) Stieltjes integral inequalities of Gronwall type and 
applications. 92f:26031 

Gol‘dman, M. L. Integral inequalities on a cone of functions with monotonicity properties. 
(Russian) 92m:26017 

Hajnosz, Andrzej (with Wedrychowicz, Stanislaw) On a nonlinear integral inequality and 
its application. (Russian and Polish summaries) 92f:26032 

He, Jin Kuan Some thoughts on systems of inequalities and a proof. (Chinese) 92k:26044 

Heinig, Hans P. (with Maligranda, Lech) Chebyshev inequality in function spaces. 
92k:26045 

Janous, Walter see Petari¢, Josip E., 92e:26009 

Khajeh-Khalili, Parviz Generalization of a Hardy-Littlewood-Pélya inequality. 92h:26023 

Kheinig, G. P. see Kufner, Alois, 92e:26008 

Kong, Qing Kai (with Zhang, Bing Gen) High-dimensional Gronwall-Bihari type inequali- 
ties involving improper integrals. 92h:26024 

— see also Erbe, Lynn H., 92f:26031 

Kufner, Alois (with Kheinig, G. P.) The Hardy inequality for higher-order derivatives. 
(Russian) 92¢:26008 

Kuratsubo, Shigehiko On a proof of Fejér’s lemma with some estimations. 92d:26030 

Kwong, Man Kam (with Zettl, Anton) Norm inequalities for derivatives and differences. 
92£:26033 

Leindler, L. Further sharpening of inequalities of Hardy and Littlewood. 92b:26032 

Love, E. Russell Inequalities related to Carleman’s inequality. 92i:26016 

La, Shu Huan (with Yin, Chuan Cun) A generalized Liouville formula. (Chinese. English 
summary) 92i:26017 

Ma, Zi Li (with Wang, Chun Qing) Proofs of some integral inequalities. (Chinese. English 
summary) 92g:26027 

Maligranda, Lech see Heinig, Hans P., 92k:26045 

Matkowski, Janusz A generalization of Hélder’s and Minkowski’s inequalities and 
conjugate functions. 92h:26025 

Mitrinovi¢, Dragoslav S. (with Petari¢, Josip E.) A note on an inequality with nonconjugate 
parameters. 92k:26046 

— (with Peéarié, Josip E.) On inequalities of Hilbert and Widder. 92k:26047 

Pachpatte, B.G. A note on certain generalizations of Opial’s inequality. 92g:26028 

— On some variants of Sobolev’s inequality. 92f:26034 

— On Lieb and Thirring type discrete inequalities. 92i:26018 

Pales, Zsolt On comparison of homogeneous means. 92a:26017 

— Inequalities for sums of multipowers. 92f:26035 

Petari¢, Josip E. (with Dragomir, Sever Silvestru) Some inequalities for quasilinear 
functionals. 92a:26018 

— (with Janous, Walter) On an integral inequality. 92e:26009 

— On Jessen’s inequality for convex functions. III. 92d:26031 

— On an inequality of G. Szegé. 92g:26029 

— Extension of an interpolation of Jensen’s inequality. 92k:26048 

— (with Dragomir, Sever Silvestru) A generalization of Hadamard’s inequality for isotonic 
linear functionals. (Serbo-Croatian summary) 92h:26026 

— see also Mitrinovi¢é, Dragoslav S., 92k:26046; 92k:26047 and Alzer, Horst, 92m:26015 

Potze, W. (with Urbach, H. P.) An inequality in L?. 92a:26019 

Rakhmail, R. T. The inverse Chebyshev inequality for Stieltjes integrals. (Russian) 
92h:26027 

Sadov, S. Yu. Two analogues of the Pleijel inequality. (Russian) 92j:26013 

Sawyer, Eric T. (with Wheeden, Richard L.) Carleson conditions for the Poisson integral. 
92h:26028 

Sbordone, Carlo see D’Apuzzo, Livia, 92e:26007 

Sever, Dragomir S. Two refinements of Hadamard’s inequalities. (Serbo-Croatian 
summary) 92f:26036 

Sinnamon, Gordon Weighted Hardy and Opial-type inequalities. 92f:26037 

Urbach, H. P. see Potze, W., 92a:26019 

Wang, Chun Qing see Ma, Zi Li; et al., 92g:26027 

Wang, Chung-Lie see Conian, James; et al., 92k:26041 

Wang, Yuan Jiang see Xu, Li Zhi; et al., 92d:26032 

Wedrychowicz, Stanislaw see Hajnosz, Andrzej, 92f:26032 

Wheeden, Richard L. see Sawyer, Eric T., 92h:26028 

Xie, Wenzheng A sharp pointwise bound for functions with L?-Laplacians on arbitrary 
domains and its applications. 92h:26029 

Xu, Li Zhi (with Wang, Yuan Jiang) A refinement of Hilbert’s double series theorem. 
92d:26032 

Yin, Chuan Cun see Lu, Shu Huan; et al., 92i:26017 

You, Guang Rong On the Hélder inequality. (Chinese. English summary) 92f:26038 


REAL FUNCTIONS 1992 386 


Zaghrout, Afaf A. S. (with El-Dawaliby, N.) Generalizations of Gronwall-Bellman-Reid 
inequalities. 92a:26020 

Zettl, Anton see Kwong, Man Kam, 92f:26033 

Zhang, Bing Gen see Kong, Qing Kai; et al., 92h:26024 

Zhang, Zhi Hua Upper bounds for ratios of power means. (Chinese. English summary) 
92k:26049 

Zhuang, Ya Dong On inverses of the Hélder inequality. 92i:26019 


Items with secondary classifications in 26D15 


Bloom, Steven Hardy integral estimates for the Laplace transform. 92m:44002 

Chen, Tie Ling A two-weight reverse weak-type inequality for the maximal function with 
respect to Vitali convex families. (Chinese. English summary) 92i:42010 

Chong, Kong Ming Spectral order preserving operators and rearrangement theorems. 
92i:47032 

Georgakis, Constantine The Hausdorff mean of a Fourier-Stieltjes transform. 92m:42009 

Hu, Xiang Jun A proof and applications of a proposition. (Chinese. English summary) 
92g:26031 

Jiang, Hui Ming Weighted-BMO and the Hilbert transform. 92h:42016 

Kazaryan, S.S. Integral inequalities in weighted reflexive Orlicz spaces for a conjugate 
function. (Russian. English and Armenian summaries) 92i:42005 

Kozhukhar’, P. A. A Hardy-type inequality and the absence of eigenvalues in an integral- 
difference operator. (Russian. English and Moldavian summaries) 92i:47062 

Kufner, Alois see Opic, Bohumir, 92b:26028 

Love, E. Russell Hardy’s inequality for Orlicz-Luxemburg norms. 924:46077 

Martinez, Ma. Dolores see Martinez Carracedo, Celso; et al., 92d:47024 

Martinez Carracedo, Celso (with Sanz Alix, Miguel A.; Martinez, Ma. Dolores) Some 
inequalities for fractional integrals and derivatives. (Russian) 924:47024 

Matveev, P. N. Integral inequalities with a small parameter. (Russian) (see 92e:00011) 

Moshchevitin, N.G. Nonrecurrence of an integral of a conditionally periodic function. 
(Russian) 92k:26021 

Nasibov, F.G. Extremal problems for polynomials. (Russian) 92k:26034 

Ntouyas, S. K. see Tsamatos, P. Ch., 92k:26038 

Oinarov, R.O. An estimate for a norm of an integral operator. (Russian. Kazakh summary) 
92b:47076 

@ksendal, Bernt Weighted Sobolev inequalities and harmonic measure associated with 
quasiregular functions. 92k:60181 

Opic, Bohumir (with Kufner, Alois) * Hardy-type inequalities. 92b:26028 

Pachpatte, B.G. On multidimensional discrete inequalities and their applications. 
92a:39007 

— Opial type inequality in several variables. 92f:26027 

Popenda, Jerzy Remark on Gronwall’s inequality. 

Sanz Alix, Miguel A. see Martinez Carracedo, Celso; et al., 92d:47024 

Stroffolini, B. On some extensions of Hardy-Littlewood inequality. 92a:26014 

Tsamatos, P. Ch. (with Ntouyas, S. K.) On a Bellman-Bihari type integral inequality with 
delay. 92k:26038 

Wik, Ingemar Reverse Hélder inequalities with constant close to 1. 92g:30028 

Xu, Yuan On the Marcinkiewicz-Zygmund inequality. 92k:41019 

Zhang, Gao Yong Integral geometric inequalities. (Chinese) 92g:53066 


26D20 Other analytical inequalities 


Agbeko, N. K. Necessary and sufficient condition for the maximal inequality of concave 
Young-functions. 92a:26021 

Alzer, Horst A refinement of Sierpinski’s inequalities. (Russian and Slovak summaries) 
92i:26020 

— Uber gewichtete geometrische und arithmetische Mittelwerte. [On weighted geometric 
and arithmetic means] 92f:26039 

— Eine komplementare Ungleichung. (Serbo-Croatian summary) [A complementary 
inequality] 92i:26021 

— An extension of a result of J. E. Petari¢. 92h:26030 

Dragomirescu, Mihai (with Ivan, Constantin) Extensions of Jensen’s inequality. II. 
92b:26033 

Dubeau, Francois On a generalization of u-means. 92g:26030 

Hemmecke, Raymond (with Moldenhauer, Wolfgang) Uber Shapiro’s Ungleichung. [On 
Shapiro’s inequality] 92d:26033 

Ivan, Constantin see Dragomirescu, Mihai, 92b:26033 

Jin, Jun Some notes on the Gronwall inequality. (Chinese. English summary) 92d:26034 

Komaroff, N. Rearrangement and matrix product inequalities. 92d:26035 

Maiorov, V. E. A multiplicative inequality for derivatives, and its applications. (Russian) 
92d:26036 

Mitrinovi¢, Dragoslav S. (with Pecari¢, Josip E.) * Cikli¢éne nejednakosti i ciklitne 
funkcionalne jednatine. (Serbo-Croatian) [Cyclic inequalities and cyclic functional 
equations] 92¢:26012 

-— (with Peéari¢, Josip E.) Interpolations of determinantal inequalities of Jensen’s type. 
92¢:26013 

Moldenhauer, Wolfgang see Hemmecke, Raymond, 92d:26033 

Peéarié, Josip E. see Mitrinovi¢, Dragoslav S., 92c:26012 and 92c:26013 

Popenda, Jerzy Finite difference inequalities. 92f:26040 

Schréder, Johann Operator inequalities and applications. 92i:26022 

Yang, Zhen Hang Inequalities for power means of convex functions. (Chinese) 92f:26041 


Items with secondary classifications in 26D20 

Gabidzashvili, M. A. Weighted inequalities for potentials in spaces of homogeneous type. 
(Russian. English summary) 92h:46039 

Hayman, Walter K. Growth lemmas in function theory. 92h:30058 

Kuczma, Marek On the quasiarithme:.ic mean in a mean value property and the associated 
functional equation. 92¢:39020 

Pachpatte, B. G. Discrete inequalities in two variables and their applications. (Serbo- 
Croatian summary) 92b:39005 

Pales, Zsolt On the convergence of means. 92c:40002 





387 1992 


Prather, C. L. Some generalized Pélya-Turan inequalities. 92b:33057 

Sidorenko, A. F. Inequalities in probability theory and Turan-type problems for graphs with 
colored vertices. 92h:60024 

Talenti, Giorgio G. Rearrangements and PDE. 92k:35108 


26D99 None of the above, but in this section 


Bardaro, Carlo (with Vinti, Gianluca) Some estimates of integral operators with respect to 
the multidimensional Vitali ®-variation, and applications in fractional calculus. (Italian 
summary) 92k:26050 

Dragomir, Sever Silvestru (with Petarié, Josip E.; Sandor, Jézsef) Some generalizations of 
Cauchy-Buniakovski-Schwartz inequality for isotonic functionals. (Romanian summary) 

Hu, Xiang Jun A proof and applications of a proposition. (Chinese. English summary) 
92g:26031 

Payne, Lawrence E. Some comments on the past fifty years of isoperimetric inequalities. 
92£:26042 

Pearson, J. Michael Best constants in Sobolev inequalities for ultraspherical polynomials. 
92k:26051 

Petari¢, Josip E. see Dragomir, Sever Silvestru; et al. 

Sandor, Jézsef see Dragomir, Sever Silvestru; et al. 

Vinti, Gianluca see Bardaro, Carlo, 92k:26050 

Yang, Wei H. On generalized Hélder inequality. 92b:26034 


Items with secondary classifications in 26D99 

Dragomir, Sever Silvestru see Petari¢, Josip E., 92h:26026 

Haruki, Hiroshi New characterizations of the arithmetic-geometric mean of Gauss and 
other well-known mean values. 92f:39014 

Petari¢, Josip E. (with Dragomir, Sever Silvestru) A generalization of Hadamard’s 
inequality for isotonic linear functionals. (Serbo-Croatian summary) 92h:26026 

Sun, Ming Bao A class of inequalities for symmetric functions and their applications. 
(Chinese. English summary) 92d:05178 

Tichy, Robert Franz Some inequalities for hypercomplex numbers. 92i:11088 

Zhou, Fei Yue On fuzzy-valued inequalities. 92i:04007 


26Exx Miscellaneous topics [see also 58Cxx] 


26E05_ Real-analytic functions [see also 32B05, 32C05] 


Saint-Raymond, Jean Fonctions séparément analytiques. (English summary) [Separately 
analytic functions] 92¢:26014 


Items with secondary classifications in 26E05 

Ciulli, M. (with Ciulli, S.; Spearman, T. D.) Weak-star compactness and its relevance to 
analyticity problems. 92f:46091 

Ciulli, S. see Ciulli, M.; et al., 92f:46091 

Ha Huy Bang (with Morimoto, Mitsuo) On the Bernstein-Nikolsky inequality. 92g:41020 

Kriegl, A. (with Michor, Peter W.) The convenient setting for real analytic mappings. 
92a:58009 

Michor, Peter W. see Kriegl, A., 92a:58009 

Morimoto, Mitsuo see Ha Huy Bang, 92g:41020 

Siciak, Jézef Singular sets of separately analytic functions. 92i:32013 

Spearman, T. D. see Ciulli, M.; et al., 92f:46091 


26E10 C-functions, quasi-analytic functions [see also 58C25] 


Boboc, Nicu On the analyticity of real functions. 92d:26037 

Plesniak, Wieslaw Applications of Markov’s inequality in differential analysis. (Polish) 
92:26043 

Ramsamujh, T. I. Nowhere analytic C® functions. 92j:26014 


Items with secondary classifications in 26E10 

Appell, Jiirgen (with Nazarov, V. 1.; Zabreiko, P. P.) Composing infinitely differentiable 
functions. 92¢:47083 

Bonet, José (with Braun, Riidiger W.; Meise, Reinhold; Taylor, B. A.) Whitney’s extension 
theorem for nonquasianalytic classes of ultradifferentiable functions. 

Braun, Riidiger W. see Bonet, José; et al. 

Meise, Reinhold see Bonet, José; et al. 

Nazarov, V.1I. see Appell, Jiirgen; et al., 92c:47083 

Schmets, Jean (with Valdivia, Manuel) On the extent of the (non)quasi-analytic classes. 
92f:46021 

Taylor, B. A. see Bonet, José; et al. 

Valdivia, Manuel see Schmets, Jean, 92f:46021 

Zabreiko, P. P. see Appell, Jiirgen; et al., 92c:47083 


26E15 Calculus of functions on infinite-dimensional spaces 
[see also 46G05, 58Cxx] 


cr 1 Le.Wadvi. 





ka, Maria (with Van Vleck, F.S.) Fréchet vs. Gateaux differentiabil- 
ity of Lipschitzian functions. 92g:26032 

Van Vieck, F.S. see Gi ka-Kedzierska, Maria, 92g:26032 

Items with secondary classifications in 26E15 

Chou, Chin Ch’éng Inverse function theorems for multifunctions in Fréchet spaces. 
92k:49026 

Fabian, Marian (with Preiss, David) On intermediate differentiability of Lipschitz 
functions on certain Banach spaces. 92g:46048 

Gieraltowska-Kedzierska, Maria (with Van Vleck, F.S.) Fréchet differentiability of regular 
locally Lipschitzian functions. 92h:58026 

Hikida, Masato On Taylor’s formula. 92d:58012 








26E Miscellaneous topics 


26E35 


— On Taylor’s formula. II. 92i:58018 

Toffe, Alexandre D. Variational analysis of a composite function: a formula for the lower 
second order epi-derivative. 92m:46061 

Kominek, Zygfryd A characterization of convex functions in linear spaces. (Polish 
summary) 92b:52018 

— (with Kuczma, Marek) p-convex functions in linear spaces. 92i:46052 

Kuczma, Marek see Kominek, Zygfryd, 92i:46052 

Pluciennik, Ryszard (with Tian, Shen; Wang, Yu Wen) Nonconvex integral functionals on 
Musielak-Orlicz spaces. 92g:46059 

Preiss, David see Fabian, Marian, 92g:46048 

Rybakowski, Krzysztof P. Formulas for higher-order finite expansions of composite maps. 
92k:58027 

Tian, Shen see Pluciennik, Ryszard; et al., 92g:46059 

Van Vieck, F.S. see Gieraltowska-Kedzierska, Maria, 92h:58026 

Wang, Yu Wen see Pluciennik, Ryszard; et al., 92g:46059 

Zajitek, Ludék Fréchet differentiability, strict differentiability and subdifferentiability. 
92j:46081 





26E20 Calculus of functions taking values in infinite-dimensional 
spaces [see also 46E40, 46G10, 58Cxx] 


Qu, Li Xue see Zhang, Bo’; et al., 92f:26044 

Zhang, Bo! (with Qu, Li Xue) Weak Riemann-Stieltjes integration of abstract func- 
tions with values in a locally convex topological algebra. (Chinese. English summary) 
92£:26044 


Items with secondary classifications in 26E20 
Lai, Han Ch’ing Differentiability and duality for integral functions. 92f:46057 


26E25 Set-valued functions [see also 28B20, 54C60] {For 
nonsmooth analysis, see 49J52, 58Cxx, 90Cxx.} 


Averna, A. (with Cardinali, Tiziana) On the concepts of K-convexity [K-concavity] and K- 
convexity* [K-concavity*]. (Italian. English summary) 92h:26031 

Cardinali, Tiziana see Averna, A., 92h:26031 

Papalini, Francesca The K-midpoint * convexity [concavity] and lower [upper] K- 
semicontinuity of a multifunction. (Italian. English summary) 92h:26032 


Items with secondary classifications in 26E25 

Attouch, Hédy (with Wets, Roger J.-B.) Epigraphical processes: laws of large numbers for 
random LSC functions. 92k:60079 

Dem’yanov, V.F. (with Rubinov, A. M.) * Ocxossi Hernagxoro aHanu3a H KBasHquddep- 
eHI{HasibHoe ucuncuenHe. (Russian) [Foundations of nonsmooth analysis, and quasidiffer- 
ential calculus] 92j:40001 

Guseinov, Kh. G. (with Ushakov, V.N.) Differential properties of integral funnels and 
stable bridges. (Russian) 924:49006 

Luderer, Bernd (with Résiger, R.; Wiirker, U.) On necessary minimum conditions in 
quasidifferential calculus: independence of the specific choice of quasidifferentials. 
92i:49030 

Ma, Ming see Wu, Cong Xin; et al., 92c:26016 

Navoyan, V. Kh. Some differential properties of multivalued functions. (Russian) 
92h:58022 

Résiger, R. see Luderer, Bernd; et al., 92i:49030 

Rubinov, A. M. see Dem’yanov, V. F., 92j:40001 

Salinetti, Gabriella (with Wets, Roger J.-B.) Random semicontinuous functions. 
92d:60044 

Ushakov, V.N. see Guseinov, Kh. G., 92d:49006 

Wets, Roger J.-B. see Salinetti, Gabriella, 92d:60044 and Attouch, Hédy, 92k:60079 

Wu, Cong Xin (with Ma, Ming) Series, integrals and integral equations of fuzzy set-valued 
mappings. (Chinese. English summary) 92c:26016 

Wiirker, U. see Luderer, Bernd; et al., 92i:49030 


26E30 Non-Archimedean analysis [see also 12J25] 


Benhissi, Ali Le théoréme de Rolle sur le corps des séries formelles généralisées. [Rolle’s 
theorem on the field of generalized formal power series] 

Rangan, G. (with Selvamuthu, V.) Differentiable functions on the ring of p-adic integers. 
92k:26052 

Selvamuthu, V. see Rangan, G., 92k:26052 


26E35 Nonstandard analysis [see also 03H05, 28E05, 54J05] 


Callot, Jean-Louis Analyse approximative. [Approximative analysis] 92f:26045 

Impens, Chris Les polynémes non standard. (English summary) [Nonstandard polynomials] 
92:26046 

Lyantse, V. E. The Stokes formula for functions of a discrete argument. (Russian. English 
summary) 92m:26018 

Sun, Guang Run see Xu, Li Zhi; et al., 924:26038 

Xu, Li Zhi (with Sun, Guang Run) The quasi-Duhamel principle and its applications. 
(Chinese summary) 924:26038 


Items with secondary classifications in 26E35 


Bebbouchi, Rachid Problémes physiques du troisi¢me ordre. [Third-order physical 
problems] 92g:34058 

Benhabib, Kety Approximation de la fonction y(t) = (1 + ¢2)~'/?, p € N*, par une suite de 
polynémes. [Approximation of the function y(t) = (1 + t?)~'/?, p € N*, by a polynomial 
sequence] 92j:41014 

Fruchard, Augustin Canards discrets. (English summary) [Discrete canards] 92m:58099 

Kuribayashi, Yukio Hyperfunctions and generalized functions. 92k:46068 

Neves, Vitor Smoothness from finite points. 92i:03073 





26E35 


Ng, Siu-Ah A new proof of Kelley’s theorem. 92k:28010 

Segel, Lee A. The infinite and the infinitesimal in models for natural phenomena. 
92b:00019 

Wallet, Guy Surstabilité pour une équation différentielle analytique en dimension un. 
(English summary) [Superstability for an analytic differential equation in dimension one] 
92¢:34061 


Items listed otherwise than by author 
Colloquium: 

Micro- and Macroscopic Phenomena * 2° Colloque “Phénoménes Micro et Macro- 
scopiques”. (French) [Second Colloquium on Micro- and Macroscopic Phenomena] 
92d:00024 

Oran * 2° Colloque “Phénoménes Micro et Macroscopiques”. (French) [Second Collo- 

quium on Micro- and Macroscopic Phenomena] 924:00024 


26E40 Constructive real analysis [see also 03F60, 03F65] 


Items with secondary classifications in 26E40 
Bridges, Douglas S. A general constructive intermediate value theorem. 92j:03054 


26E50 Fuzzy real analysis [see also 04A72, 28E10] 


Ma, Ming see Wu, Cong Xin; et al., 92c:26016 

Matioka, Marian A double integral of fuzzy mapping. 92c:26015 

Wu, Chuan Sheng A new definition for uniform convergence of series of fuzzy-valued 
functions. (Chinese. English summary) 

Wa, Cong Xin (with Ma, Ming) Series, integrals and integral equations of fuzzy set-valued 
mappings. (Chinese. English summary) 92c:26016 


Items with secondary classifications in 26E50 

Gupta, Madan M. see Kaufmann, Arnold, 92h:94041 

Kaufmann, Arnold (with Gupta, Madan M.) * Introduction to fuzzy arithmetic. 92h:94041 
Meng, Guang Wu (with Zhang, Xing Fang) The theory of grey real functions. 92g:04011 
Yue, Huang Grey function and grey relation grade. 92g:04015 

(Zadeh, Lotfi A.) see Kaufmann, Arnold, 92h:94041 

Zhang, Xing Fang see Meng, Guang Wu, 92g:04011 


26E99 None of the above, but in this section 


Items with secondary classifications in 26E99 

Chuagqui, Rolando (with Suppes, Patrick) An equational deductive system for the differen- 
tial and integral calculus. 92f:03009 

Sagan, Hans Some reflections on the emergence of space-filling curves: the way it could have 
happened and should have happened, but did not happen. 92g:01043 

Suppes, Patrick see Chuaqui, Rolando, 92f:03009 


28-XX Measure and integration {For analysis on 
manifolds, see 58-XX.} 


28-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Items with secondary classifications in 28-01 


Barner, Martin (with Flohr, Friedrich) * Analysis. II.(German) 92b:26002 

Benoist-Gueutal, Pierrette (with Courbage, Maurice) * Mathématiques pour la physique. 
Tome 1. (French) [Mathematics for physics. Vol. 1] 92m:00004 

Boccara, Nino * Functional analysis. 92b:00002 

Brocker, Theodor * Analysis. II.(German) 92j:26001 

Courbage, Maurice see Benoist-Gueutal, Pierrette, 92m:00004 

Edgar, Gerald A. * Measure, topology, and fractal geometry. 92a:54001 

Falconer, Kenneth J. * Fractal geometry. 92j:28008 

Flohr, Friedrich see Barner, Martin, 92b:26002 

Fomin, S. V. see Kolmogorov, A. N., 92e:46001 

Haaser, Norman B. (with Sullivan, Joseph A.) * Real analysis. 92a:00006 

(Helle, Renate) see Smirnov, Vladimir Ivanovich, 92i1:00005 

IVin, Viadimir Aleksandrovich (with Poznyak, E.G.) * Fundamentos del andlisis 
matematico. 3. (Spanish) [Foundations of mathematical analysis. 3] 92g:00002c 

Kolmogorov, A. N. (with Fomin, S. V.) * Mabadi’ nazhariyah al-dawal wa-al-tahlil al-riyadi 
al-dali. (Arabic) [The theoretical fundamentals of functions and mathematical functional 
analysis] 92¢:46001 

(Mai, Brigitte) see Smirnov, Vladimir Ivanovich, 92i:00005 

(Medkov, K. P.) see Il’'in, Viadimir Aleksandrovich, 92g:00002c 

Neubrunnovd, Anna Unifying principles in analysis and a compactness criterion. (Russian 
and Slovak summaries) 92k:26001 

Poznyak, E.G. see I'in, Viadimir Aleksandrovich, 92g:00002c 

(Shashah, Ibrahim Mahmod) see Kolmogorov, A. N., 92e:46001 

Smirnov, Viadimir Ivanovich * Lehrgang der héheren Mathematik. Teil V. (German) 
[Course in higher mathematics. Part V] 92i:00005 

Sullivan, Joseph A. see Haaser, Norman B., 922:00006 


REAL FUNCTIONS 1992 388 


28-02 Research exposition (monographs, survey articles) 

Anger, Bernd (with Portenier, Claude) * Radon integrals. 92m:28001 

Portenier, Claude see Anger, Bernd, 92m:28001 

Vinti, C. Problems associated with the theory of finitely additive measures: some recent 
results of the Scuola Matematica Perugina. (Italian. English summary) 92a:28001 


Items with secondary classifications in 28-02 

Goffman, Casper Lusin’s theorem. 92f:26001 

Henstock, Ralph * The general theory of integration. 92k:26011 
(Klimkin, V.M.) see Measure and integral, 92d:28002 

Petersen, Karl * Ergodic theory. 92c:28010 


Items listed otherwise than by author 
Measure and integral * Mepa u uuterpan. [Measure and integral] 92d:28002 


28-03 Historical (must also be assigned at least one 
classification number from Section 01) 


(Carathéodory, Constantin) see Pier, Jean-Paul, 92m:28002 
Pier, Jean-Paul Carathéodory’s fundamental contribution to measure theory. 92m:28002 


Items with secondary classifications in 28-03 

Callens, Stéphane Ensemble, mesure et probabilité selon Emile Borel. (English summary) 
[Set, measure and probability according to Emile Borel] 92a:01051 

Doob, J. L. Probability vs. measure. (see 92m:01044) 

Mackey, George W. von Neumann and the early days of ergodic theory. 92a:01056 

Mahoney, Michael S. Infinitesimals and transcendent relations: the mathematics of motion 
in the late seventeenth century. 92h:01019 

Mawhin, Jean L. Integration and the fundamental theory of ordinary differential equations: 
a historical sketch. 92h:01038 

(von Neumann, John) see Mackey, George W., 92a:01056 and Ornstein, Donald S., 
924:01027 

Ornstein, Donald S. von Neumann and ergodic theory. 92d:01027. 

(Rokhlin, V. A.) see Vershik, A. M., 92m:01078b 

Vershik, A.M. V. A. Rokhlin’s work in ergodic theory. (Russian) 92m:01078b 


28-06 Proceedings, conferences, collections, etc. 


(Bellow, Alexandra) see Almost everywhere convergence, 92d:28001 
(Jones, Roger L.) see Almost everywhere convergence, 92d:28001 
(Klimkin, V. M.) see Measure and integral, 92d:28002 


Items listed otherwise than by author 
Almost everywhere convergence * Almost everywhere convergence. II. 92d:28001 
Conference: 
Almost Everywhere Convergence in Probability and Ergodic Theory * Almost everywhere 
convergence. II. 92d:28001 
Evanston, IL * Almost everywhere convergence. II. 92d:28001 
Measure and integral * Mepa u unterpan. [Measure and integral] 92d:28002 


Items with secondary classifications in 28-06 

(Bélair, Jacques) see Fractal geometry and analysis, 92f:58002 

(Dubuc, Serge) see Fractal geometry and analysis, 92f:58002 

(Krzyzewski, Karol) see Dynamical systems and ergodic theory, 92b:58060 


Items listed otherwise than by author 


Dynamical systems and ergodic theory * Dynamical systems and ergodic theory. 92b:58060 
Fractal geometry and analysis * Fractal geometry and analysis. 92f:58002 
Montreal, PQ * Fractal geometry and analysis. 92f:58002 
NATO Advanced Study Institute: 
Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 
Reports: 
Symposium in Real Analysis Report on the Summer Symposium in Real Analysis XV, 
Smolenice, Czechoslovakia, August 12-16, 199i. 92h:00014 
Seminar: 
Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 
Smolenice Report on the Summer Symposium in Real Analysis XV, Smolenice, Czechoslo- 
vakia, August 12-16, 1991. 92h:00014 
Symposium: 
Real Analysis Report on the Summer Symposium in Real Analysis XV, Smolenice, 
Czechoslovakia, August 12-16, 1991. 92h:00014 
Warsaw * Dynamical systems and ergodic theory. 92b:58060 


28Axx Classical measure theory 


Mohapl, Jaroslav On modular set functions and measures. 92g:28001 


28A05 Classes of sets (Borel fields, a-rings, etc.), measurable 
sets, Suslin sets, analytic sets [see also 03E15, 04A15, 
26A21, 54H05] 


Aniszczyk, Bohdan A rigid Borel space. 92c:28001 

Balcerzak, Marek On the generalized Zink classification. (Polish summary) 92g:28002 

— On C-sets and products of ideals. 92h:28001 

deCamp, Allan The construction of a Lebesgue measurable set with every density. 
92a:28002 

Giéwezytiski, Wiestaw Special subsets of the real line. 92g:28003 

Hejduk, Jacek Some remarks on Egoroff’s theorem. (Polish summary) 92m:28003 

Huerta, Carlos C. A note on the cardinality of (Italian summary) 92b:28001 











389 1992 


Kirchheim, Bernd Solution of two problems concerning F-sigma sets of measure zero. 
92a:28003 

Lahiri, B. K. see Saha, P. K., 92j:28002 

Miller, Harry I. On several classes of sets. II. 92j:28001 

Plewik, Szymon (with Voigt, Bernd) Partitions of reals: measurable approach. 92i:28001 

Sabo, Michal Construction of classes of sets. (see 92b:00045) 

Saha, P. K. (with Lahiri, B. K.) Density topology in Romanovski spaces. 92j:28002 

Seidel, Wilfried Supports of Borel measures. 92c:28002 

Voigt, Bernd see Plewik, Szymon, 92i:28001 

Wang, Hao’ A class of interesting structures of minimum fields of sets. (Chinese) 
92b:28002 

Wilson, Terence E. A fugue on Bernstein sets. 92b:28003 

Wright, J. D. Maitland Generic countable equidecomposability. 92a:28004 

Zakharov, Valerii Konstantinovich Connections between the Lebesgue extension and the 
Borel extension of the first class and between their corresponding preimages. (Russian) 
92i:28002 


Items with secondary classifications in 28A05 

Adams, David R. The classification problem for the capacities associated with the Besov and 
Triebel-Lizorkin spaces. 92f:31005 

Adamski, Wolfgang On the interplay between a topology and its associated Baire and Borel 
o-algebra. 92f:54037 

Ayerbe Toledano, José M. The category-base of sets of second category in a topological 
space. (Spanish. English summary) (see 92m:00049) 

Babich, Amy Scrawny Cantor sets are not definable by tori. 92i:57012 

Balcerzak, Marek On o-ideals having perfect members in all perfect sets. 92a:04002 

Burke, Maxim R. Powers of the ideal of Lebesgue measure zero sets. 92j:03043 

Cichoti, J. (with Morayne, Michal; Pawlikowski, Janusz; Solecki, S.) Decomposing Baire 
functions. 92j:04001 

Csdszar, A. Extensions of discrete and equal Baire functions. 92f:26006 

Foreman, Matthew (with Wehrung, Friedrich) The Hahn-Banach theorem implies the 
existence of a non-Lebesgue measurable set. 92m:03077 

Gardner, Richard J. (with Pfeffer, Washek F.) A note on small and other singular sets. 
92h:26002 

Jackson, Stephen Craig (with Mauldin, R. Daniel) Nonuniformization results for the 
projective hierarchy. 92j:03046 

Kary-Niyazov, Sh. Sh. Classes of co-absoluteness of Borel and hyper-Borel sets. (Russian) 
92a:54031 

Kaufman, Robert P. Sequence spaces and analytic sets. 92j:46025 

Konig, Heinz The transporter theorem—a new version of the Dynkin class theorem. 
92k:28004 

Louveau, Alain Relations d’équivalence boréliennes. [Borel equivalence relations] 
92e:54041 

Mauldin, R. Daniel see Jackson, Stephen Craig, 92j:03046 

Mekler, A. A. Identification in classes of principal symmetric ideals. (Russian) (see 
92g:47001) 

Morayne, Michal see Cichon, J.; et al., 92j:04001 

Pawlikowski, Janusz see Cichon, J.; et al., 92j:04001 

Pfeffer, Washek F. see Gardner, Richard J., 92h:26002 

Plesniak, Wieslaw A Cantor regular set which does not have Markov’s property. 92c:30004 

Poreda, Wieslawa Some generalizations of results of Carathéodory and Miller. (Polish 
summary) 92g:28008 

Ramsamujh, T. I. Three ordinal ranks for the set of differentiable functions. 92h:26010 

Repicky, Miroslav Additivity of porous sets. 92a:26011 

Solecki, S. see Cichoi, J.; et al., 92j:04001 

Wehrung, Friedrich see Foreman, Matthew, 92m:03077 

Witula, Roman Continuity and the Darboux property of nonatomic finitely additive 
measures. 92a:28005 

Zivaljevi¢, Bosko Some results about Borel sets in descriptive set theory of hyperfinite sets. 
92g:03075 


28A10 Real- or complex-valued set functions 


Aldaz, J. M. A general covering lemma for the real line. 92k:28001 

Capek, Peter The atoms of a countable sum of set functions. (see 92b:00045) 

Klimkin, V.M. On a theorem of Cafiero in generalized measure theory. (Russian) (see 
92d:28002) 

— An inverse problem in measure theory. (Russian) (see 92f:58004) 

Mabry, Richard D. Sets which are well-distributed and invariant relative to all isometry 
invariant total extensions of Lebesgue measure. 92f:28001 

Swartz, Charles A proof of Phillips’ lemma. 92m:28004 


Items with secondary classifications in 28A10 


Aarnes, Johan F. Quasi-states and quasi-measures. 924:46152 

de Amo Artero, Enrique (with Diaz Carrillo, Manuel) Measurability for not monotonically 
continuous integral systems. (Spanish. English summary) (see 92b:00044) 

D’Apuzzo, Livia (with Sarno, R.; Squillante, Massimo) 1-decomposable measures and 
integrals: convergence and absolute continuity. (Italian summary) 92m:28008 

Diaz Carrillo, Manuel see de Amo Artero, Enrique, (92b:00044) 

Kundu, Swapna On a topology of the set of bounded tight contents. 92m:54053 

Molodtsov, D. A. On the definition of an interval measure. (Russian) 92f:28003 

Sarno, R. see D’Apuzzo, Livia; et al., 92m:28008 

Squillante, Massimo see D’Apuzzo, Livia; et al., 92m:28008 


28A12 Contents, measures, outer measures, capacities 


Alyakin, V. A. Regularity and extension of Baire outer measures. (Russian) (see 92d:28002) 
Ayerbe Toledano, José M. Category measures on Baire spaces. 92f:28002 

Baek, In Soo see Lee, Hung Hwan, 92k:28005 

Bella, Angelo More on the equality L'(u) = L}.(u). 92m:28005 


MEASURE AND INTEGRATION 


28A20 


Buczolich, Zoltén (with Laczkovich, Miklés) Concentrated Borel measures. 92k:28002 

Crnjac, Miljenko (with Miller, Harry I.) On the image of two sets of positive outer Lebesgue 
measure in R". (Russian and Slovak summaries) 92h:28002 

Kim, Choo Whan Baire measures on [0, Q) and [0, Q]. II. 92k:28003 

Konig, Heinz The transporter theorem—a new version of the Dynkin class theorem. 
92k:28004 

Miklés see Buczolich, Zoltin, 92k:28002 

Lee, Hung Hwan (with Baek, In Soo) A note on equivalent interval covering systems for 
packing dimension of R. 92k:28005 

Miller, Harry I. see Crnjac, Miljenko, 92h:28002 

Molodtsov, D. A. On the definition of an interval measure. (Russian) 92f:28003 

Pap, Endre On nonadditive set functions. 92g:28004 

Plebanek, Grzegorz Families of sets of positive measure. 92j:28003 

Sundberg, Carl (with Wagner, Carl G.) Characterizations of monotone and 2-monotone 
capacities. 92m:28006 

Svistula, M. G. Some generalizations of Dieudonné’s theorem. (Russian) (see 92d:28002) 

Terpe, Frank Uber die Definition der meSbaren Mengen. [On the definition of measurable 
sets] 92g:28005 

Vrabel, Peter Remark on properties of real valued nonnegative functions on semirings. 
(Russian and Slovak summaries) 92j:28004 

Wagner, Carl G. see Sundberg, Carl, 92m:28006 

Witula, Roman Continuity and the Darboux property of nonatomic finitely additive 
measures. 92a:28005 

Zhang, Jie Heng A property of probability spaces. (Chinese. English summary) 92f:28004 

Items with secondary classifications in 28A12 

Assani, Idris (with WoS, J.) An equivalent measure for some nonsingular transformations 
and application. 92f:28012 

Denker, Manfred (with Urbariski, Mariusz) On the existence of conformal measures. 
92k:58155 

Gabriel, J.-P. (with Milasevic, P.) A remark on probability spaces. 92j:60001 

Godoy, Eduardo (with Marcellin, Francisco) Rational modifications of Borel measures. 
(Spanish. English summary) (see 92g:00024) 

Gorelishvili, Albert Lattices with the Alexandrov properties. 92i:28004 

Kirchheim, Bernd Solution of two problems concerning F-sigma sets of measure zero. 
92a:28003 

Leader, S. Variation of f on E and Lebesgue outer measure of fE. 92j:26009 

Marcellan, Francisco see Godoy, Eduardo, (92g:00024) 

Martinén, Antonio A system of axioms for measures of noncompactness. (Russian and 
Polish summaries) 92¢:28004 

Milasevic, P. see Gabriel, J.-P., 92j:60001 

Pommerenke, Ch. On boundary size and conformal mapping. 92b:30028 

Sidorina, T. A. Construction of finite nondegenerate regular Borel measures on locally 
compact Hausdorff spaces of countable weight. (Russian) (see 92d:28002) 

Urbanik, Kazimierz Atoms of characteristic measures. 92c:60023 

Urbariski, Mariusz see Denker, Manfred, 92k:58155 

Wos, J. see Assani, Idris, 92f:28012 

Zhang, Yu Qi Some properties of Lebesgue nonmeasurable sets and Lebesgue measurable 
non-Borel sets in R". (Chinese. English summary) 92g:28010 


28A15 Abstract differentiation theory, differentiation of set 
functions [see also 26A24] 


Karagulyan, G. A. A necessary and sufficient condition for differentiability of integrals of 
random measures in R" over n-dimensional intervals. (Russian) 92h:28003 

Klimkin, V.M. Uniform boundedness and uniform continuity of a family of nonadditive 
set functions. (Russian. English and Georgian summaries) 


Items with secondary classifications in 28A15 


Reyes, Miguel An analytic study on the self-similar fractals: differentiation of integrals. 
92a:28007 


28A20 Measurable and nonmeasurable functions, sequences of 
measurable functions, modes of convergence 


Adolf, V. A. Convergence of masses and their derivatives. (Russian) (see 92d:28002) 

Aleksandrov, I. I. Completely measurable set functions. (Russian) (see 92d:28002) 

Alikhani-Koopaei, Aliasghar Extreme path derivatives of a Borel measurable function with 
respect to a continuous system of paths. (see 92m:00055) 

de Amo Artero, Enrique (with Diaz Carrillo, Manuel) Measurability for not monotonically 
continuous integral systems. (Spanish. English summary) (see 92b:00044) 

Appling, William D. L. Set functions and real Hilbert spaces. (Italian summary) 92g:28006 

Binder, I. A. Weak convergence of charges. (Russian. English summary) 92g:28007 

Cheng, Chu Shu Two theorems equivalent to Egorov’s theorem. (Chinese. English 
summary) 92¢:28003 

Diaz Carrillo, Manuel see de Amo Artero, Enrique, (92b:00044) 

Hejduk, Jacek (with Wajch, Eliza) A characterization of compactness in the sense of 
convergence with respect to a a-ideal. (Serbo-Croatian summary) 92k:28006 

Klei, Heinz-Albrecht (with Miyara, Mounia) Une extension du lemme de Fatou. (English 
summary) [An extension of the Fatou lemma] 92b:28004 

Malitky, Peter On the conditional mean value of vector lattice valued random variables. 
(Russian and Slovak summaries) 92i:28003 

Miyara, Mounia see Klei, Heinz-Albrecht, 92b:28004 

Nicolaescu, Liviu I. An extension of the concentration-compactness lemma of P.-L. Lions. 
92h:28004 

Page, Frank H., Jr. Komlos limits and Fatou’s lemma in several dimensions. 92m:28007 

Pannikov, B. V. Some applications of the strong law of large numbers in the theory of 
functions. I. (Russian) 92b:22005 

Plachky, D. A nonuniform version of the theorem of Radon-Nikodym in the finitely 
additive case with applications to extensions of finitely additive set functions. 92b:28066 





28A20 


Poreda, Wiesiawa Some generalizations of results of Carathéodory and Miller. (Polish 
summary) 92g:28008 

Puglisi, Mario A. 5-rings of sets and measurability of functions. (Italian. English summary) 
92g:28009 

Wagner-Bojakowska, Elzbieta Remarks on convergence of sequences of measurable 
functions. (Polish summary) 92k:28007 

Wajch, Eliza see Hejduk, Jacek, 92k:28006 

Zhang, Yu Qi Some properties of Lebesgue nonmeasurable sets and Lebesgue measurable 
non-Borel sets in R”. (Chinese. English summary) 92g:28010 


Items with secondary classifications in 28A20 
Abramovich, Yuri A. (with Lipecki, Zbigniew) On lattices and algebras of simple functions. 
92a:46007 


Aniszczyk, Bohdan A rigid Borel space. 92c:28001 

Avallone, Anna The topological dual of Lo. 92k:46037 

Balder, Erik J. On uniformly bounded sequences in Orlicz spaces. 92a:46030 

Basile, Achille A remark on a Fréchet-Smulian criterion. (Russian summary) 924:46071 

Borwein, Jonathan M. (with Lewis, Adrian S.) Convergence of best entropy estimates. 
92b:41044 

Bukovsk4, Zuzana (with Salat, Tibor) Some types of convergence of sequences of real- 
valued functions. (Russian and Slovak summaries) 92k:26016 

— Quasinormal convergence. 92k:26015 

Choukairi-Dini, Ahmed M-convergence des martingales. Applications aux amarts uniformes 
et aux intégrandes. II. [M-convergence of martingales. Applications to uniform amarts 
and integrands. II] 92c:60072 

Delladio, Silvano Lower semicontinuity and continuity of functions of measures with 
respect to the strict convergence. 92i:28012 

Dinh Quang Lu’u A short proof of biting lemma. 92a:46031 

Gordon, Russell A. A general convergence theorem for nonabsolute integrals. 92k:26010 

Grande, Zbigniew Algebraic structures generated by almost continuous functions. 
92g:54018 

Jacob, Pierre M. (with Oliveira, Paulo Eduardo) Mean quadratic convergence of signed 
random measures. 92i:60094 

Klimkin, V.M. An inverse problem in measure theory. (Russian) (see 92£:58004) 

Lambert, Alan Localising sets for sigma-algebras and related point transformations. 
92g:47037 

Lewis, Adrian S. see Borwein, Jonathan M., 92b:41044 

Licea, Gabriela On the Skorohod representation theorem for weak convergence of 
probability measures. 92¢e:60001 

Lipecki, Zbigniew see Abramovich, Yuri A., 92a:46007 

Oliveira, Paulo Eduardo see Jacob, Pierre M., 92i:60094 

Salat, Tibor see Bukovska, Zuzana, 92k:26016 

Stoitiski, Stanislaw On convergence of a sequence of functions with respect to the (/, 9)- 
mean in measure. 92b:46033 

Volchkov, V. V. Functions with zero integrals over cubes. (Russian. Ukrainian summary) 
92j:26011 

Wajch, Eliza On small systems and compact families of Borel functions. (Russian 
summary) 92e:26003 

— Small systems—on approximation of compact sets of measurable functions to compact 
subsets of C,_9(X). 92m:54036 


28A25 Integration with respect to measures and other set 
functions 


Avallone, Anna (with Basile, Achille) Integration: uniform structure. 92g:28011 

Basile, Achille see Avallone, Anna, 92g:28011 

Chentsov, A.G. The Darboux integral with respect to a finitely additive measure of bounded 
variation. (Russian) 92g:28012 

D’Apuzzo, Livia (with Sarno, R.; Squillante, Massimo) .-decomposable measures and 
integrals: convergence and absolute continuity. (Italian summary) 92m:28008 

Maharam, Dorothy Truncation and smoothing for relative (C, 1) limits. 92j:28005 

Sarno, R. see D’Apuzzo, Livia; et al., 92m:28008 

Shortt, R. M. A theory of integration for cardinal algebras. 92g:28013 

Squillante, Massimo see D’Apuzzo, Livia; et al., 92m:28008 

Villani, Alfonso On the equality L'() = L}.(u). 92h:28005 


Items with secondary classifications in 28A25 


Berti, Patrizia (with Regazzini, Eugenio; Rigo, Pietro) Finitely additive Radon-Nikodym 
theorem and concentration function of a probability with respect to a probability. 
92g:60006 

Chong, Kong Ming Spectral order preserving operators and rearrangement theorems. 
92i:47032 

Diaz Carrillo, Manuel (with Muioz Rivas, F.) Integral extension with locally-integral 
seminorm. 92f:28010 

Kinderlehrer, David (with Pedregal, Pablo) Weak convergence of integrands and the Young 
measure representation. 92m:49076 

Lee, Peng Yee see Ma, Zheng Min, 92f:26015 

Ma, Zheng Min (with Lee, Peng Yee) An overview of classical integration theory. 
92f:26015 

Munoz Rivas, F. see Diaz Carrillo, Manuel, 92f:28010 

Nakanishi, Shizu On controlled convergence theorem for Henstock-Kurzweil integrals. 
92b:26016 

Pedregal, Pablo see Kinderlehrer, David, 92m:49076 

Regazzini, Eugenio see Berti, Patrizia; et al., 92g:60006 

Rigo, Pietro see Berti, Patrizia; et al., 92g¢:60006 


28A33 Spaces of measures, convergence of measures 
[see also 46E27, 60Bxx] 


Fedorchuk, V. V. Probability measures in topology. (Russian) 92g:28014 


MEASURE AND INTEGRATION 


Gorelishvili, Albert Lattices with the Alexandrov properties. 92i:28004 


Items with secondary classifications in 28A33 


Babu, Gutti Jogesh A note on Dubins’ theorem. 92c:60002 

Girotto, Bruno (with Holzer, Silvano) Convergence in distribution of masses on the real 
line. (Italian summary) 92a:60011 

Holzer, Silvano see Girotto, Bruno, 92a:60011 

Khanin, L.G. Kantorovich-Rubinstein norm and its application in the theory of Lipschitz 
spaces. 92i:46026 

Mohapl, Jaroslav The Radon measures as functionals on Lipschitz functions. 92g:46023 

Nicolaescu, Liviu I. An extension of the concentrati pactness lemma of P.-L. Lions. 
92h:28004 

Sempi, Carlo Variations on a theme by Scheffé. (Italian summary) 

Weis, Lutz W. Sublattices of M(X) isometric to M[0, 1]. 92h:46032 





28A35 Measures and integrals in product spaces 


Chen, Pei De (with Li, Jun Fen) On the existence of product stochastic measures. 
92h:28006 

Feldman, David Victor Extreme doubly stochastic measures with full support. 92g:28015 

Fishburn, Peter C. (with Lagarias, Jeffrey C.; Reeds, J. A.; Shepp, Lawrence A.) Sets 
uniquely determined by projections on axes. II. Discrete case. 92m:28009 

Haase, H. Dimension of measures. 92a:28006 

— On the dimension of product measures. 92b:28007 

Karni, Shaul (with Merzbach, Ely) On the extension of bimeasures. 92f:28005 

Lagarias, Jeffrey C. see Fishburn, Peter C.; et al., 92m:28009 

Li, Jun Fen see Chen, Pei De; et al., 92h:28006 

Li, Ze Zhi The Fubini and Tonelli theorem without the o-finiteness condition. (Chinese) 
92i:28005 

Merzbach, Ely see Karni, Shaul, 92f:28005 

Reeds, J. A. see Fishburn, Peter C.; et al., 92m:28009 

Shepp, Lawrence A. see Fishburn, Peter C.; et al., 92m:28009 


Items with secondary classifications in 28A35 

Baker, Richard L. “Lebesgue measure” on R®. 92¢:46051 

Borger, R. Fubini’s theorem from a categorical viewpoint. 92m:28027 

Chen, Jie Cheng A note on Carleson measures in product spaces and their applications. 
(Chinese) 92b:42024 

Fernandez y Fernandez-Arroyo, Fidel José On the product of operator valued measures. 
92e:46093 

Karagulyan, G. A. A necessary and sufficient condition for differentiability of integrals of 
random measures in R" over n-dimensional intervals. (Russian) 92h:28003 

Levin, V. L. A formula for the optimal value of the Monge-Kantorovich problem with a 
smooth cost function, and a characterization of cyclically monotone mappings. (Russian) 
92d:49087 

MatuS, Frantisek (with Tuzar, Antonin) Short proofs of Khintchine-type inequalities for 
zero-one matrices. 92m:05045 

Maurey, B. Some deviation inequalities. 92g:60024 

Talagrand, Michel A new isoperimetric inequality for product measure and the tails of sums 
of independent random variables. 92j:60004 

Tuzar, Antonin see Matii, Frantisek, 92m:05045 


28A51 Lifting theory [see also 46G15] 


Grekas, S. (with Gryllakis, C.) Completion regular measures on product spaces with 
application to the existence of Baire strong liftings. 92c:28004 
Gryllakis, C. see Grekas, S., 92c:28004 


Items with secondary classifications in 28A51 

Burke, Maxim R. (with Just, Winfried) Liftings for Haar measure on {0,1}*. 92h:03075 
Dawidowicz, Antoni Leon On the lifting of invariant measures. 92d:58102 

Just, Winfried see Burke, Maxim R., 92h:03075 


28A60 Measures on Boolean rings, measure algebras 
[see also 54H10] 


Camacho, James, Jr. On maximal measures with respect to a lattice. 92i:28006 

Grassi, Peter M. Measure characterizations and properties of normal and regular lattices. 
92}:28006 

Kalton, N. J. The Maharam problem. 92¢:28005 

Kampke, Thomas Additive functions and their application to uncertain information. 
92k:28008 

Kruszyriski, P. Vector measures on lattices. 92k:28009 

Morales, Pedro New results in noncommutative measure theory. (see 92b:00045) 

Ng, Siu-Ah A new proof of Kelley’s theorem. 92k:28010 


Items with secondary classifications in 28A60 


Aizpuru Tomas, Antonio (with Benitez Trujillo, Francisco) Supremum and interpolation 
properties and sequentional subalgebras of a Boolean algebra. (Spanish) (see 92g:00024) 

— Equivalence between interpolation properties and supremum property in algebras with 
the ccc property. (Spanish) (see 92g:00024) 

— Boolean algebras whose Stone spaces have no nontrivial Cauchy sequences. (Spanish) (see 
92g:00024) 

— Countable Boolean algebras and the Orlicz-Pettis property. (Spanish. English summary) 
(see 92b:00044) 

Avallone, Anna The topological dual of Lo. 92k:46037 

Benitez Trujillo, Francisco Study of some Boolean algebras using sequences of ordinals. 
(Spanish. English summary) (see 92b:00044) 

— see also Aizpuru Tomas, Antonio, (92g:00024) 





391 1992 


Berti, Patrizia (with Regazzini, Eugenio; Rigo, Pietro) Finitely additive Radon-Nikodym 
theorem and concentration function of a probability with respect to a probability. 


D’Andrea, Anna Bruna (with De Lucia, Paolo; Morales, Pedro) The Lebesgue decom- 
position theorem and the Nikodym convergence theorem on an orthomodular poset. 
92k:28021 

De Lucia, Paolo see D’Andrea, Anna Bruna; et al., 92k:28021 

Dvuretenskij, Anatolij (with Neubrunn, Tibor; Pulmannova, Sylvia) Regular states and 
countable additivity on quantum logics. 92g:46021 

— Finitely additive Gleason measures. 92h:81020 

Giéwezytiski, Wieslaw Special subsets of the real line. 92g:28003 

Morales, Pedro see D’Andrea, Anna Bruna; et al., 92k:28021 

Neubrunn, Tibor see Dvuretenskij, Anatolij; et al., 92g:46021 

Pulmannova, Sylvia see Dvuretenskij, Anatolij; et al., 92g:46021 

Regazzini, Eugenio see Berti, Patrizia; et al., 92g:60006 

Rigo, Pietro see Berti, Patrizia; et al., 92g:60006 

Samorodnitskii, A. A. On the existence of homogeneous independent completions. 
(Russian) (see 92d:28002) 

Shortt, R. M. A theory of integration for cardinal algebras. 92g:28013 


28A75 Length, area, volume, other geometric measure theory 
[see also 26B15, 49Q15] 


Aversa, V. (with Bandt, Christoph) The multifractal spectrum of discrete measures. 
92b:28008 

Bandt, Christoph see Aversa, V., 92b:28008 

Falconer, Kenneth J. The dimension of self-affine fractals. II. 92m:28010 

Harrison, Jenny (with Norton, Alec) Geometric integration on fractal curves in the plane. 
92m:28011 

Kirsch, Arnold Das Paradoxon von Hausdorff, Banach und Tarski: Kann man es “ver- 
stehen”? [The paradox of Hausdorff, Banach and Tarski: can one “understand” it?] 
92b:28009 

Kuba, A. Reconstruction of measurable plane sets from their two projections taken in 
arbitrary directions. 92¢:28006 

Norton, Alec see Harrison, Jenny, 92m:28011 

Pal, Mukul On a set of positive measure under linear transformations. 92b:28010 

Patzschke, N. (with Zahle, U.) Self-similar random measures. IV. The recursive construc- 
tion model of Falconer, Graf, and Mauldin and Williams. 92j:28007 

Ruzsa, Imre Z. Diameter of sets and measure of sumsets. 92k:28011 

Solynin, A. Yu. Continuous symmetrization of sets. (Russian) 92k:28012 

Watari, Chinami Valuation diminishing maps need not be measure-reducing. 92i:28007 

Zahle, U. see Patzschke, N., 92j:28007 


Items with secondary classifications in 28A75 

Arbeiter, Matthias Random recursive construction of self-similar fractal measures. The 
noncompact case. 92m:60040 

Chen, Beifang The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial 
geometric measures for noncompact polyhedra. 92m:52021 

David, Guy René (with Martin, Gaven J.; Semmes, Stephen) Médiatrice de deux arcs de 
quasicercle. [Right bisector of two arcs of a quasicircle] 92¢:30008 

— (with Semmes, Stephen) Harmonic analysis and the geometry of subsets of R”. 
92¢:42017 

De Arcangelis, Riccardo Some remarks on the identity between a variational integral and its 
relaxed functional. (Italian summary) 92¢:49008 

Gardner, Richard J. Measure theory and some problems in geometry. 92d:52010 

Giona, Massimiliano D-integrals and extended ergodic theorem for fractal attractors. 
92b:58126 

Haase, H. Dimension of measures. 92a:28006 

— On the dimension of product measures. 92b:28007 

Jones, Peter Wilcox The traveling salesman problem and harmonic analysis. 92¢c:42013 

Kozak, John J. see Rudra, Jayanta K., 92a:82056 

Levin, V. L. General Monge-Kantorovich problem and its applications in measure theory 
and mathematical economics. 92¢:49032 

Martin, Gaven J. see David, Guy René; et al., 92¢:30008 

Mendes France, Michel The Planck constant of a curve. (see 92f:58002) 

Meyer, Mathieu (with Reisner, S.) Characterizations of affinely-rotation-invariant log- 
concave measures by section-centroid location. 92j:52006 

Pommerenke, Ch. On boundary size and conformal mapping. 92b:30028 

Reisner, S. see Meyer, Mathieu, 92j:52006 

Rudra, Jayanta K. (with Kozak, John J.) Spectral dimension of regular and fractal lattices. 
92a:82056 

Semmes, Stephen see David, Guy René, 92c:42017 and 92e:30008 

Tricot, Claude Rectifiable and fractal sets. (see 92f:58002) 

Visintin, Augusto Generalized coarea formula and fractal sets. 92¢:49054 


28A78 Hausdorff measures 


Baek, In Soo see Lee, Hung Hwan, 92g:28016 

Benjamini, Itai (with Peres, Yuval) On the Hausdorff dimension of fibres. 92i:28008 

Falconer, Kenneth J. Dimensions—their determination and properties. (see 92f:58002) 

Haase, H. Fundamental theorems of calculus for packing measures on the real line. 
92h:28007 

Jaffard, Stéphane Sur la dimension de Hausdorff des points singuliers d’une fonction. 
(English summary) [On the Hausdorff dimension of the singular points of a function] 
92m:28012 

Lee, Hung Hwan (with Baek, In Soo) The relations of Hausdorff, *-Hausdorff, and packing 
measures. 92g:28016 

Liu, Min Si The Hausdorff dimension and measure of a class of sets in higher dimensions. 
(Chinese. English summary) 92i:28009 


28A Classical measure theory 


28A80 


Meinershagen, Sandra Upper and lower bounds for the packing measure in relation to the 
Hausdorff measure. 92f:28006 

Peres, Yuval see Benjamini, Itai, 92i:28008 

Spear, Donald W. Measures and self-similarity. 92k:28013 

Staiger, Ludwig On the computation of Hausdorff dimension and its relation to channel 
capacity. 92h:28008 

Zahle, U. Self-similar random measures. III. Self-similar random processes. 92f:28007 


Items with secondary classifications in 28A78 

Bedford, Tim (with Urbanski, Mariusz) The box and Hausdorff dimension of self-affine 
sets. 92b:58125 

— Applications of dynamical systems theory to fractals—a study of cookie-cutter Cantor 
sets. (see 92f:58002) 

— (with Fisher, Albert M.) Analogues of the Lebesgue density theorem for fractal sets of 
reals and integers. 92j:58058 

Blokh, A. M. (with Lyubich, M. Yu.) Measure of solenoidal attractors of unimodal 
transformations of an interval. (Russian) 92d:58117 

Denker, Manfred (with Urbanski, Mariusz) On Sullivan’s conformal measures for rational 
maps of the Riemann sphere. 92£:58097 

— (with Urbanski, Mariusz) On the existence of conformal measures. 92k:58155 

Edgar, Gerald A. see Rellick, Lorraine M.; et al., 92c:82056 

Fisher, Albert M. see Bedford, Tim, 92j:58058 

Hata, Masayoshi Topological aspects of self-similar sets and singular functions. (see 
921:58002) 

Hu, Di He Hausdorff measures with-::<ior dimension. (Chinese) 92g:28021 

Klapper, Michael H. see Rellick, Lorraine M.; et al., 92c:82056 

Lyubich, M. Yu. see Blokh, A. M., 92d:58117 

Masur, Howard (with Smillie, John) Hausdorff dimension of sets of nonergodic measured 
foliations. 92j:58081 

Mendoza, Leonardo Continuity properties of invariant sets of one-dimensional maps. 
(Spanish summary) 92i:58108 

Nieminen, Esko Hausdorff measures, capacities, and Sobolev spaces with weights. 
92i:46039 

Rellick, Lorraine M. (with Edgar, Gerald A.; Klapper, Michael H.) Calculating the 
Hausdorff dimension of tree structures. 92¢:82056 

Reyes, Miguel An analytic study on the self-similar fractals: differentiation of integrals. 
92a:28007 

Smillie, John see Masur, Howard, 92j:58081 

Stella, Sergio Fractal schemes and Hausdorff dimension. 92m:28015 

— On Hausdorff dimension of recurrent net fractals. 92m:58079 

Tukia, Pekka Hausdorff dimension and quasisymmetric mappings. 92b:30026 

Urbatiski, Mariusz The Hausdorff dimension of the set of points with nondense orbit under 
a hyperbolic dynamical system. 92k:58204 

— see also Bedford, Tim, 92b:58125; Denker, Manfred, 92f:58097 and 92k:58155 

Xiao, Yi Min Fractional Brownian motion and Hausdorff dimension. (Chinese. English 
summary) 92k:60189 


28A80 Fractals [see also 58F xx] 


Barlow, Martin T. (with Taylor, Samuel James) Defining fractal subsets of Z¢. 92m:28013 

Cvitanovi¢é, Predrag Phase transitions on strange sets. (see 92f:58003) 

Dubuc, Serge Interpolation fractale. (English summary) [Fractal interpolation] (see 
92£:58002) 

Evertsz, Carl J.G. (with Jones, Peter Wilcox; Mandelbrot, Benoit B.) Behaviour of the 
harmonic measure at the bottom of fjords. 92e:28001 

Falconer, Kenneth J. * Fractal geometry. 92j:28008 

Hutchinson, John E. Generating fractals. 92e:28002 

Jones, Peter Wilcox see Evertsz, Carl J. G.; et al., 92e:28001 

Judd, Kevin (with Mees, Alistair I.) Estimating dimensions with confidence. 92g:28017 

Kenyon, Richard (with Peres, Yuval) Intersecting random translates of invariant Cantor 
sets. 92g:28018 

Kraft, Roger Intersections of thick Cantor sets. 92i:28010 

Mandelbrot, Benoit B. Multifractal measures, especially for the geophysicist. 92k:28014 

— Two meanings of multifractality, and the notion of negative fractal dimension. 92f:28008 

— see also Evertsz, Cari J. G.; et al., 92e:28001 

Mantica, Giorgio (with Sloan, Alan) Chaotic optimization and the construction of fractals: 
solution of an inverse problem. 92b:28011 

Martin, Miguel Angel (with Taguas, Francisco Javier) Center of mass and moment of 
inertia of self-similar fractals. (Spanish. English summary) (see 92b:00044) 

Mees, Alistair I. see Judd, Kevin, 92g:28017 

Meisel, L. V. Generalized Mandelbrot rule for fractal sections. 92m:28014 

Nishizawa, Kiyoke (with Ohba, Sachio) The Béttcher functional equation and the 
transfinite diameter of a fractal set. (Japanese. English summary) 92k:28015 

Normant, Francois (with Tricot, Claude) Method for evaluating the fractal dimension of 
curves using convex hulls. 92e:28003 

Ohba, Sachio see Nishizawa, Kiyoko, 92k:28015 

Peres, Yuval see Kenyon, Richard, 92g:28018 

Reyes, Miguel An analytic study on the self-similar fractals: differentiation of integrals. 
92a:28007 

Sloan, Alan see Mantica, Giorgio, 92b:28011 

Stella, Sergio Fractal schemes and Hausdorff dimension. 92m:28015 

Taguas, Francisco Javier see Martin, Miguel Angel, (92b:00044) 

Taylor, Samuel James see Barlow, Martin T., 92m:28013 

Tricot, Claude Rectifiable and fractal sets. (see 92f:58002) 

— see also Normant, Francois, 92e:28003 

Voss, Richard F. Random fractals: characterization and measurement. (see 92b:82005) 

Xie, He Ping see Zhang, Yong Ping; et al., 92a:28008 

Zhang, Yong Ping (with Xie, He Ping) Fractal geometry derived from geometric inversion. 
(Chinese. English summary) 92a:28008 





28A80 


Items with secondary classifications in 28A80 

Abenda, S. Inverse problem for one-dimensional fractal measures via iterated function 
systems and the moment method. 92f:58095 

Allain, C. (with Cloitre, M.) Characterizing the lacunarity of random and deterministic 
fractal sets. 92g:58117 

Argoul, F. see Arneodo, Alain; et al., 92g:82080 and (92g:42018) 

Arneodo, Alain (with Argoul, F.; Elezgaray, J.; Grasseau, G.) Wavelet transform analysis of 
fractals: application to nonequilibrium phase transitions. 92g:82080 

— (with Argoul, F.; Grasseau, G.) Transformation en ondelettes et renormalisation. 
(English summary) [Wavelet transforms and renormalization] (see 92g:42018) 

Baek, In Soo see Lee, Hung Hwan, 92k:28005 

Baldo, Stéphane * Introduction a la topologie des ensembles fractals. (French) [Introduc- 
tion to the topology of fractal sets] 92i:58107 

(Ball, R.C.) see Fractals in the natural sciences, 92m:00019 

Bandt, Christoph Self-similar sets. V. Integer matrices and fractal tilings of R”. 92d:58093 

Bedford, Tim Applications of dynamical systems theory to fractals—a study of cookie-cutter 
Cantor sets. (see 92f:58002) 

(Bélair, Jacques) see Fractal geometry and analysis, 92f:58002 

Berger, Marc Aron Wavelets as attractors of random dynamical systems. 92e:58127 

Bessis, Daniel (with Mantica, Giorgio) Construction of multifractal in dy 
systems from their invariance properties. 92c:58060 

Blanchard, Ph. (with Combe, Philippe; Nencka, H.) Some remarks about the spectral 
dimension of fractals. 92¢:82039 

Braides, Andrea (with D’Ancona, Piero) Perimeter on fractal sets. 92b:49077 

Bunde, Armin see Stanley, H. Eugene; et al., (92b:82005) and Fractals and disordered 
systems, 92m:82002 

Cascon, Ana (with Langevin, Rémi) Dimension of dynamically constructed Cantor sets. 
92h:58151 

Cloitre, M. see Allain, C., 92g:58117 

Combe, Philippe see Blanchard, Ph.; et al., 92e:82039 

Coniglio, A. see Stanley, H. Eugene; et al., (92b:82005) 

D’Ancona, Piero see Braides, Andrea, 92b:49077 

(Danilov, Yu. A.) see Feder, Jens, 92h:00009 

Dekking, F. Michel Substitutions, branching processes and fractal sets. (see 92f:58002) 

Deliu, Anca (with Geronimo, Jeffrey S.; Shonkwiler, R.; Hardin, D.) Dimensions associated 
with recurrent self-similar sets. 92g:58069 

Douady, Adrien Structural stability of the Mandelbrot set. (see 92b:58003) 

(Dubuc, Serge) see Fractal geometry and analysis, 92f:58002 

Edgar, Gerald A. A fractal puzzle. 92j:58062 

Elezgaray, J. see Arneodo, Alain; et al., 92g:82080 

Falconer, Kenneth J. Dimensions—their determination and properties. (see 92f:58002) 

— The dimension of self-affine fractals. II. 92m:28010 

Feder, Jens * ®paxtansi. (Russian) [Fractals] 92h:00009 

(Fleischmann, M.) see Fractals in the natural sciences, 92m:00019 

Geronimo, Jeffrey S. see Deliu, Anca; et al., 922:58069 

Ghez, J.-M. (with Vaienti, S.) On the wavelet analysis for multifractal sets. 92b:42036 

(Gill-Hoffstadt, Sophia) see Lauwerier, Hans, 92f:00004 

Goffinet, Daniel Number systems with a complex base: a fractal tool for teaching topology. 
92a:54002 

Grasseau, G. see Arneodo, Alain; et al., 92g:82080 and (92g:42018) 

Hardin, D. see Deliu, Anca; et al., 92g:58069 

Hata, Masayoshi Topological aspects of self-similar sets and singular functions. (see 
92£:58002) 

(Havlin, Shlomo) see Fractals and disordered systems, 92m:82002 

Herrmann, Hans Jiirgen see Manna, S. S., 92¢:52027 

Hong, D.C. see Stanley, H. Eugene; et al., (92b:82005) 

Isichenko, M. B. (with Kalda, J.) Statistical topography. I. Fractal dimension of coastlines 
and number-area rule for islands. 92m:86010 

Ito, Shunji (with Ohtsuki, Makoto) On the fractal curves induced from endomorphisms on 
a free group of rank 2. 92m:11078 

Jirgens, Hartmut see Peitgen, Heinz-Otto; et al., 92a:58099 and 92k:00023 

Kalda, J. see Isichenko, M. B., 92m:86010 

Langevin, Rémi see Cascon, Ana, 92h:58151 

Lapidus, Michel L. Can one hear the shape of a fractal drum? Partial resolution of the Weyl- 
Berry conjecture. 924:58211 

Lauwerier, Hans * Fractals. 92f:00004 

Lawler, Gregory F. Problems on the geometry of random walk paths. 92g:82050 

Lee, Hung Hwan (with Baek, In Soo) A note on equivalent interval covering systems for 
packing dimension of R. 92k:28005 

(Lorenz, Edward) see Peitgen, Heinz-Otto; et al., 92a:58099 

Mandelbrot, Benoit B. Random multifractals: negative dimensions and the resulting 
limitations of the thermodynamic formalism. 92g:58086 

— see also Peitgen, Heinz-Otto; et al., 92a:58099; Feder, Jens, 92h:00009 and Peitgen, Heinz- 
Otto; et al., 92k:00023 

Manna, S.S. (with Herrmann, Hans Jiirgen) Precise determination of the fractal 
dimensions of Apollonian packing and space-filling bearings. 92c:52027 

Mantica, Giorgio see Bessis, Daniel, 92c:58060 

Meakin, P. see Stanley, H. Eugene; et al., (92b:82005) 

Mendes France, Michel The Planck constant of a curve. (see 92£:58002) 

Metz, Volker Potentialtheorie auf dem Sierpiriski gasket. [Potential theory on the Sierpinski 
gasket] 92b:31008 

Nencka, H. see Blanchard, Ph.; et al., 92e:82039 

Ohtsuki, Makoto see Ito, Shunji, 92m:11078 

Peitgen, Heinz-Otto (with Jiirgens, Hartmut; Saupe, Dietmar; Zahlten, C.) Fractals. 
92a:58099 

— (with Jirgens, Hartmut; Saupe, Dietmar) * Fractals for the classroom. Part 1. 92k:00023 

Pietronero, Luciano Fractals in physics. (see 92i:81015) 

Pisarenko, D. V. see Pisarenko, V. F., 92b:86013 

Pisarenko, V. F. (with Pisarenko, D. V.) Spectral properties of multifractal measures. 
92b:86013 





MEASURE AND INTEGRATION 


Sander, Leonard M. Growth by particle aggregation. (see 92b:82005) 

Saupe, Dietmar see Peitgen, Heinz-Otto; et al., 92a:58099 and 92k:00023 

Schilling, Heinz Controlled production of fractals with a pointed basic design. 

Schroeder, Manfred R. * Fractals, chaos, power laws. 92m:00018 

Shonkwiler, R. see Deliu, Anca; et al., 92g:58069 

(Shukurov, A.) see Feder, Jens, 92h:00009 

Spear, Donald W. Measures and self-similarity. 92k:28013 

Stanley, H. Eugene Fractal concepts for disordered systems: the interplay of physics and 
geometry. (see 92b:82005) 

— (with Bunde, Armin; Coniglio, A.; Hong, D. C.; Meakin, P.; Witten, T. A.) Fractal 
properties of “disordered surfaces” and the termite problem. (see 92b:82005) 

Stinchcombe, R. B. Introduction to scaling concepts. (see 92b:82005) 

Sullivan, Dennis P. Differentiable structures on fractal like sets, determined by intrinsic 
scaling functions on dual Cantor sets. (see 92£:58003) 

Takayasu, Hideki * Fractals in the physical sciences. 92f:58114 

Taylor, Charles C. (with Taylor, Samuel James) Estimating the dimension of a fractal. 
92d:62064 

Taylor, Samuel James see Taylor, Charles C., 92d:62064 

(Tildesley, D. J.) see Fractals in the natural sciences, 92m:00019 

Vaienti, S. see Ghez, J.-M., 92b:42036 

Wall, Charles R. Terminating decimals in the Cantor ternary set. 92e:11009 

Wingren, Peter Simultaneous multivariate polynomial interpolation and approximation on 
fractal sets. 92h:41043 

Witten, T. A. see Stanley, H. Eugene; et al., (92b:82005) 

Yamaguti, M. Fractal sets and multigrid calculus on some fractal set. 92m:31010 

Zahiten, C. see Peitgen, Heinz-Otto; et al., 92a:58099 


Items listed otherwise than by author 


Fractal geometry and analysis * Fractal geometry and analysis. 92£:58002 
Fractals and disordered systems * Fractals and disordered systems. 92m:82002 
Fractals in the natural sciences * Fractals in the natural sciences. 92m:00019 
Montreal, PQ * Fractal geometry and analysis. 92f:58002 
NATO Advanced Study Institute: 

Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 
Seminar: 

Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 


28A99 None of the above, but in this section 


Gutmann, Sam (with Kemperman, J. H. B.; Reeds, J. A.; Shepp, Lawrence A.) Existence of 
probability measures with given marginals. 92m:28016 

Kemperman, J. H. B. see Gutmann, Sam; et al., 92m:28016 

Komornik, Jozef (with Thomas, Erik G. F.) Asymptotic periodicity of Markov operators on 
signed measures. (Slovak summary) 92h:28009 

Kucia, Anna Scorza Dragoni type theorems. 92g:28019 

Martinon, Antonio A system of axioms for measures of noncompactness. (Russian and 
Polish summaries) 92¢:28004 

Miller, Harry I. Extensions of some results of M. Pal. 92i:28011 

Reeds, J. A. see Gutmann, Sam; et al., 92m:28016 

Shepp, Lawrence A. see Gutmann, Sam; et al., 92m:28016 

Thomas, Erik G. F. see Komornik, Jozef, 92h:28009 

Tiser, J. (with Zajitek, Ludék) Typical measurable function in the topology of close 
approximation. 92k:28016 

Viad, Carmen D. Semiseparation of lattices. 92c:28007 

— Remarks on semiseparation of lattices. 92b:28012 

Zajitek, Ludék see Tiser, J., 92k:28016 


Items with secondary classifications in 28A99 

Anantharaman, R. The sequence of Rademacher averages of measurable sets. 92d:46070 

Avallone, Anna Spaces of measurable functions. I. 92i:46032 

Blei, Ron C. Combinatorial dimension and measurements of interdependencies. 924:60014 

Bottaro Aruffo, Ada Extensions of a theorem of de la Vallée-Poussin. (Italian. English 
summary) 92i:49022 

Brandi, Primo (with Salvadori, Anna) Carathéodory extension process and applications to 
Weierstrass-type integrals. 92g:49040 

Burton, G. R. (with McLeod, J. B.) Maximisation and minimisation on classes of 
rearrangements. 92k:49006 

Chentsov, A. G. Finitely additive measures and extensions of some nonlinear extremal 
problems with asymptotic constraints. (Russian. English summary) 92h:49050 

Dougherty, Randall L. (with Kechris, Alexander S.) The complexity of antidifferentiation. 
92h:03072 

Just, Winfried A modification of Shelah’s oracle-c.c. with applications. 92j:03047 

Kechris, Alexander S. see Dougherty, Randall L., 92h:03072 

Kemperman, J. H. B. On sets that are uniquely determined by a restricted set of integrals. 
92b:44010 

McLeod, J. B. see Burton, G. R., 92k:49006 

Misiewicz, J. K. (with Scheffer, C. L.) Pseudo isotropic measures. 92e:60007 

PaStéka, Milan Convergence of series and submeasures of the set of positive integers. 
92b:40001 

Rosianowski, Andrzej On game ideals. 92e:04004 

Salvadori, Anna see Brandi, Primo, 92g:49040 

Scheffer, C. L. see Misiewicz, J. K., 92e:60007 

Sherman, Glen Aldridge On bounded paradoxical subsets of the plane. 92e:04005 

Szeto, Mabel On separation of lattices. 92b:28015 

Taberski, Roman On partial power variations and averaged moduli of continuity. 92f:26025 

Wright, J. D. Maitland Generic countable equidecomposability. 92a:28004 

Zhang, Bu Cheng Comparability of random measures under the random ordering (<q). 
(Chinese. English summary) 





393 1992 


28Bxx Set functions, measures and integrals with values 
in abstract spaces 


Items with secondary classifications in 28Bxx 
Olech, Czestaw The Lyapunov theorem: its extensions and applications. 92b:49011 


28B05 Vector-valued set functions, measures and integrals 
[see also 46G10] 


Curbera, G. P. Operators into L' of a vector measure. 92d:28003 

Delladio, Silvano Lower semicontinuity and continuity of functions of measures with 
respect to the strict convergence. 92i:28012 

Fernandez y Ferndndez-Arroyo, Fidel José (with Jiménez Guerra, Pedro) On the 
Prokhorov’s theorem for vector measures. 92g:28020 

— (with Jiménez Guerra, Pedro) On the Radon-Nikodym property for operator valued 
measures. 92m:28017 

Gordon, Russell A. Riemann integration in Banach spaces. 92k:28017 

Haluska, Jan On the generalized continuity of the semivariation in locally convex spaces. 
92k:28018 

Hu, Di He Hausdorff measures with vector dimension. (Chinese) 92g:28021 

Jiménez Guerra, Pedro see Fernandez y Fernandez-Arroyo, Fidel José, 92g:28020 and 
92m:28017 

Kandilakis, Dimitrios A. On the extension of multimeasures and integration with respect to 
a multimeasure. 92k:28019 

Kusraev, A. G. On the structure of vector measures and complete Boolean algebras. 
(Russian) 92k:28020 

Nikiforov, V.M. On the boundedness of semivariations. (Russian) (see 92d:28002) 

Oliveira, Paulo Eduardo On the total variation of Fréchet-space-valued measures. (Por- 
tuguese) (see 92g:00024) 

Rodriguez-Salazar, S. (with Soler, Mario) “Completion” of a a-algebra with respect to a 
vector measure. (Spanish) (see 92g:00024) 

Rodriguez-Salinas, Baltasar On the variation of an indefinite integral in Banach spaces. 
92h:28010 

Saeki, Sadahiro The Vitali-Hahn-Saks theorem and measuroids. 92f:28009 

Soler, Mario see Rodriguez-Salazar, S., (92g:00024) 


Items with secondary classifications in 28B05 

Akemann, Charles A. (with Anderson, Joel) Lyapunov theorems for operator algebras. 
92e:46113 

Anantharaman, R. (with Diestel, J.) Sequences in the range of a vector measure. 92g:46049 

Anderson, Joel see Akemann, Charles A., 92e:46113 

Ballvé, Ma. E. (with de Maria, José L.) On the dual of L* for locally convex spaces. 
92m:46062 

— (with Jiménez Guerra, Pedro) Operators and L* spaces. 92m:46063 

— (with Jiménez Guerra, Pedro) On the Radon-Nikodym theorem for operator valued 
measures. 92g:46050 

— (with Escribano, Ma. del Carmen) Orlicz spaces in bilinear vector integration. (Spanish. 
English summary) (see 92m:00049) 

Bravo de la Parra, Rafael (with Jiménez Guerra, Pedro) Linear operators and vector 
integrals. 92c:47034 

Campiti, Michele The Riemann sequential convergence in spaces of vector-valued Riemann 
integrable functions. 92k:46055 

Castaing, Charles Quelques résultats de convergence des suites adaptées. [Some conver- 
gence results for adapted sequences] 92f:60079 

Chitescu, Ion A parametrical example of Dunford, Pettis and Bochner integration. 
92b:46064 

Dang Hing Thang On the convergence of vector random measures. 92:60081 

Delbaen, Freddy see Janicka, Liliana, 92h:46064 

Diestel, J. see Anantharaman, R., 92g:46049 

Escribano, Ma. del Carmen see Ballvé, Ma. E., (92m:00049) 

Fernandez y Fernandez-Arroyo, Fidel José On the product of operator valued measures. 
92e:46093 

— (with Jiménez Guerra, Pedro) Projective limits of vector measures. 92¢:46094 

Girardi, Maria (with Uhl, J. J., Jr.) Slices, RNP, strong regularity, and martingales. 
92a:46020 

Goncharov, V. V. (with Tolstonogov, A. A.) Common continuous selections of multivalued 
mappings with nonconvex values, and their applications. (Russian) 92k:47099 

Gruenwald, Mark E. (with Wheeler, Robert F.) A strict dual representation for L;(u, X). 
92¢:46072 

Haluska, Jan On a Goguadze-Luzin’s L(X, Y)-measure condition in locally convex spaces. 
924:46113 

Hamhalter, Jan Orthogonal vector measures. (see 92b:00045) 

Janicka, Liliana (with Delbaen, Freddy) Radon-Nikodym type representation for the 
variation of vector measure. 92h:46064 

Jiménez Guerra, Pedro see Bravo de la Parra, Rafael, 92c:47034; Fernandez y Fernandez- 
Arroyo, Fidel José, 92¢:46094; Ballvé, Ma. E., 92g:46050 and 92m:46063 

Kalton, N. J. The Maharam problem. 92c:28005 

Khurana, Surjit Singh Grothendieck spaces. II. 92i:46042 

Kruszytiski, P. Vector measures on lattices. 92k:28009 

Landers, Dieter (with Rogge, Lothar) Inner and outer Banach-valued Loeb-measures. 
92i:28022 

de Maria, José L. see Ballvé, Ma. E., 92m:46062 

Martellotti, Anna (with Sambucini, Anna Rita) A Radon-Nikodym theorem for a pair of 
Banach-valued finitely additive measures. (Italian summary) 92h:46065 

Masani, P. (with Niemi, Hannu) An outline of the integration theory of Banach space 
valued measures. 92d:46114 

Niemi, Hannu see Masani, P., 924:46114 

Osswald, Horst (with Sun, Yeneng) On the extensions of vector-valued Loeb measures. 
92g:28041 


28B Set functions, measures and integrals with values in abstract spaces 


28B15 


Page, Frank H., Jr. Komlos limits and Fatou’s lemma in several dimensions. 92m:28007 

Papageorgiou, Nikolaos S. Radon-Nikodym theorems for multimeasures and transition 
multimeasures. 92:46051 

Park, Chun Kee On a Radon-Nikodym theorem for finitely additive vector measures. 
92h:46066 

Paviakos, Panaiotis K. Convolutions and products of partially ordered vector-valued 
positive measures. 92d:46115 

Pérez-Abreu, Victor On the L?-theory of product stochastic measures and multiple Wiener- 
It6 integrals. 92¢:60110 

Qu, Li Xue see Zhang, Bo'; et al., 92f:26044 

Ricker, Werner J. Kakutani’s example on p 

Rogge, Lothar see Landers, Dieter, 92i:28022 

Sambucini, Anna Rita see Martellotti, Anna, 92h:46065 

Schliichtermann, G. On weakly compact operators. 92k:47066 

Siudut, Stanislaw Generalizations of Natanson’s lemma. 92f:46052 

— Some remarks on theorems of Romanovski and Faddeev type. 92f:46053 

Stefansson, Gunnar F. Pettis integrability. 92f:46054 

Sun, Yeneng see Osswald, Horst, 92g:28041 

Tolstonogov, A. A. see Goncharov, V. V., 92k:47099 

Uhl, J. J., Jr. see Girardi, Maria, 92a:46020 

Wheeler, Robert F. see Gruenwald, Mark E., 92¢:46072 

Yannelis, Nicholas C. On the upper and lower semicontinuity of the Aumann integral. 
924d:26021 

Zhang, Bo! (with Qu, Li Xue) Weak Riemann-Stieltjes integration of abstract func- 
tions with values in a locally convex topological algebra. (Chinese. English summary) 
92f:26044 





spectral . 92h:47049 


28B10 Group- or semigroup-valued set functions, measures and 
integrals 

Bhaumik, K. N. see Kundu, S. K., 92h:28011 

D’Andrea, Anna Bruna (with De Lucia, Paolo; Morales, Pedro) The Lebesgue decom- 
position theorem and the Nikodym convergence theorem on an orthomodular poset. 
92k:28021 

De Lucia, Paolo see D’Andrea, Anna Bruna; et al., 92k:28021 

Fernandez y Fernandez-Arroyo, Fidel José A generalization of the Prokhorov theorem 
for measures with values in uniform semigroups. (Spanish. English summary) (see 
92m:00049) 

Kundu, S. K. (with Bhaumik, K. N.) On some results in connection with topological group- 
valued functions. 92h:28011 

de Maria, José L. (with Ulecia Garcia, Maria Teresa) Nikodym boundedness theorem 
for measures taking values in connected semigroups. (Spanish. English summary) (see 
92b:00044) 

Morales, Pedro see D’Andrea, Anna Bruna; et al., 92k:28021 

Rao, K. P.S. Bhaskara (with Shortt, R. M.) Group-valued charges: common extensions and 
the infinite Chinese remainder property. 92c:28008 

Shortt, R. M. see Rao, K. P.S. Bhaskara, 92c:28008 

Ulecia Garcia, Maria Teresa see de Maria, José L., (92b:00044) 

Volauf, Peter On the lattice group valued submeasures. 92g:28022 

Weber, Karl Gruppenwertige Abbildungen auf ()}-Halbverbanden. (English summary) 
[Group-valued mappings on (}-semilattices] 92i:28013 


Items with secondary classifications in 28B10 

Lipecki, Zbigniew Maximal and tight extensions of positive additive set functions. 
92b:28022 

Sipos, Jan On extension of group valued measures. 92b:28013 


28B15 Set functions, measures and integrals with values in 
ordered spaces 


Areshkin, G. Ya. (with Sidorina, T. A.) Functional operators and families of set functions. 
(Russian) (see 92g:47001) 

Bazhenov, I. I. Convexity of the set of values of a vector measures with values in a K-space. 
(Russian) (see 92d:28002) 

Kusraev, A. G. (with Malyugin, S. A.) On the extension of finitely additive vector measures. 
(Russian) 92g:28023 

Malyugin, S. A. see Kusraev, A. G., 92g:28023 

Rietan, Beloslay On the Kurzweil integral for functions with values in ordered spaces. I. 
(Russian and Slovak summaries) 92a:28009 

Shcherbin, V. M. Integration of mappings with values in regular K-spaces. (Russian) 

Sidorina, T. A. see Areshkin, G. Ya., (92g:47001) 

Sipo3, Jan On extension of group valued measures. 92b:28013 


Items with secondary classifications in 28B15 

Basile, Achille (with Traynor, Tim) Monotonely Cauchy locally-solid topologies. 92j:46008 

Hrachovina, Ervin An ergodic property of Bochner integrable functions. (Russian and 
Slovak summaries) 92g:28027 

Kelemenova, Marta On the expected value of vector lattice-valued random variables. 
(Russian and Slovak summaries) 92c:60017 

Malitky, Peter On the conditional mean value of vector lattice valued random variables. 
(Russian and Slovak summaries) 92i:28003 

Paviakos, Panaiotis K. Integral representation theorems in partially ordered vector spaces. 
92j:46011 

Schmidt, Klaus D. (with Waldschaks, Gerd) Common extensions of positive vector 
measures. 92j:46082 

Traynor, Tim see Basile, Achille, 92j:46008 

Waldschaks, Gerd see Schmidt, Klaus D., 92j:46082 

Zuev, M. G. Regularity of nonadditive set functions. (Russian) 92g:28024 





28B20 


28B20 Set-valued set functions and measures; integration of set- 
valued functions; measurable selections [see also 26E25, 
54C60, 54C65, 90A14] 


Artstein, Zvi (with Rzezuchowski, Tadeusz) A note on Olech’s lemma. 92h:28012 

Bottaro Aruffo, Ada Representation of multivalued mappings by compact sets of integrable 
selections. (Italian. English summary) 92k:28022 

Castaing, Charles (with Clauzure, P.) Lemme de Fatou multivoque. (English summary) [A 
multivalued Fatou lemma] 924:28004 

Clauzure, P. see Castaing, Charles, 924:28004 

Guariglia, Emma Uniform boundedness theorems for k-triangular set functions. 92c:28009 

Kfivan, Viastimil (with Vrkot, Ivo) Absolutely continuous selections from absolutely 
continuous set valued map. 92d:28005 

Ornelas, A. Approximation of relaxed solutions for lower semicontinuous differential 
inclusions. 92m:28018 

Rzezuchowski, Tadeusz see Artstein, Zvi, 92h:28012 

Svistula, M.G. Nikodym’s theorem for multivalued set functions. (Russian) 92h:28013 

Vrkot, Ivo see Krivan, Viastimil, 92d:28005 

Zigmunt, V. Remarks on the superposition measurability of a multivalued function. 
(Russian) 92a:28010 


Items with secondary classifications in 28B20 


Alyakin, V. A. (with Klimkin, V. M.; Svistula, M. G.) Boundedness of multivalued 
measures in a topological group. (Russian) (see 92d:28002) 
Amrani, Allal (with Castaing, Charles; Valadier, Michel) Méthodes de troncature 


MEASURE AND INTEGRATION 


Items with secondary classifications in 28C05 
Filter, Wolfgang Hellinger-type integrals in Riesz spaces. 92g:46051 
Leinenkugel, Cornel A Daniell-Stone approach to the general Denjoy integral. 92c:26007 


Veksler, A.I. The integral representability of extended functionals on vector lattices and 
cones. 92d:46017 


28C10 Set functions and measures on topological groups, Haar 
measures, invariant measures [see also 22Axx, 43A05] 


Alyakin, V. A. (with Klimkin, V. M.; Svistula, M. G.) Boundedness of multivalued 
measures in a topological group. (Russian) (see 92d:28002) 

Klimkin, V. M. see Alyakin, V. A.; et al., (92d:28002) 

Nadkarni, M. G. On the existence of an invariant measure. 92a:28011 

Svistula, M. G. see Alyakin, V. A.; et al., (92d:28002) 

Zakrzewski, Piotr When do equidecomposable sets have equal measures? 92b:28014 


Items with secondary classifications in 28C10 

Baldwin, Stewart On the existence of invariant measures that behave like area. 92h:58112 

Boyarsky, Abraham see Gora, Pawel; et al., 92b:58127 

Candeal, Juan Carlos (with Indurain Eraso, Esteban) Utility functions on partially ordered 
topological groups. 92i:90018 

Courbage, Maurice (with Hamdan, D.) A class of nonmixing dynamical systems with 
monotonic semigroup property. 92g:28036 





appliquées a des problémes de convergence faible ou forte dans L'. [Truncation method 
applied to problems of weak or strong convergence in L'] 92m:49014b 

— (with Castaing, Charles; Valadier, Michel) Convergence forte dans L' impliquée par la 
convergence faible. Méthodes de troncature. (English summary) [Strong convergence in 
L' implied by weak convergence. Truncation methods] 92m:49014a 

Castaing, Charles see Amrani, Allal; et al., 92m:49014a and 92m:49014b 

Choukairi-Dini, Ahmed M-convergence des martingales. Applications aux amarts uniformes 
et aux intégrandes. II. [M-convergence of martingales. Applications to uniform amarts 
and integrands. II] 92c:60072 

Faina, L. Extensions of compact continuous maps into decomposable sets. 92j:54017 

Hess, Christian Sur la loi de probabilité d’un ensemble aléatoire a valeurs fermées dans un 
espace métrique séparable. [On the probability density of a random set with closed values 
in a separable metric] 

Kandilakis, Dimitrios A. On the extension of multimeasures and integration with respect to 
a multimeasure. 92k:28019 

Kannai, Zoltan (with Tallds, Péter) Viable trajectories of nonconvex differential inclusions. 
92m:34044 

Klimkin, V. M. see Alyakin, V. A.; et al., (92d:28002) 

Matejdes, Milan On the cliquish, quasicontinuous and measurable selections. (Slovak 
summary) 92m:54043 

Papageorgiou, Nikolaos S. Radon-Nikodym theorems for multimeasures and transition 
multimeasures. 92f:46051 

— On the convergence properties of measurable multifunctions with values in a separable 
Banach space. 92g:49011 

Salinetti, Gabriella (with Wets, Roger J.-B.) Random semicontinuous functions. 
92d:60044 

Smirnov, G. V. The topological properties of an integral funnel of a differential inclusion 
with a Lipschitz right-hand side. (Russian) 924:34032 

Svistula, M.G. see Alyakin, V. A.; et al., (92d:28002) 

Tallés, Péter see Kdnnai, Zoltan, 92m:34044 

Valadier, Michel see Amrani, Allal; et al., 92m:49014a and 92m:49014b 

Wets, Roger J.-B. see Salinetti, Gabriella, 924:60044 


28B99 None of the above, but in this section 


Chentsov, A.G. Asymptotic effectiveness and extensions in a class of finitely additive 
measures. (Russian) 92i:28014 


Items with secondary classifications in 28B99 


Appling, William D. L. Set functions and real Hilbert spaces. (Italian summary) 92g:28006 
Lai, Han Ch’ing Differentiability and duality for integral functions. 92f:46057 
Molodtsov, D. A. On the definition of an interval measure. (Russian) 92:28003 


28Cxx Set functions and measures on spaces with 
additional structure [see also 46G12, 58C35, 
58D20] 


28C05 Integration theory via linear functionals (Radon measures, 
Daniell integrals, etc.), representing set functions and 
measures 


Bobillo Guerrero, Pablo see Muiioz Rivas, Ma. Pilar; et al., (92g:00024) 

Diaz Carrillo, Manuel (with Munoz Rivas, F.) Integral extension with locally-integral 
seminorm. 92f:28010 

— see also Muiioz Rivas, Ma. Pilar; et al., (92g:00024) 

Kulcsérova, Ofga A note on the extension of functionals. (Polish summary) 92k:28023 

Leontiadis, Th. Konvergenzsatze fiir ein voll Daniell-Integral. [Convergence theorems for a 
full Daniell integral] 92i:28015 

Munoz Rivas, F. see Diaz Carrillo, Manuel, 92f:28010 

Muiioz Rivas, Ma. Pilar (with Bobillo Guerrero, Pablo; Diaz Carrillo, Manuel) Product 
of measurable functions with respect to not monotonically continuous integral systems. 
(Spanish. English summary) (see 92g:00024) 


Dawidowicz, Antoni Leon On the lifting of invariant measures. 92d:58102 

Dooley, Anthony H. Les G-mesures. [G-measures] 92f:28017 

Dvuretenskij, Anatolij Regular measures and completeness of inner product spaces. 
92k:46029 

Géra, Pawel Countably piecewise expanding transformations without absolutely continuous 
invariant measure. 92c:58063 

— (with Boyarsky, Abraham; Proppe, H.) On the number of invariant measures for higher- 
dimensional chaotic transformations. 92b:58127 

Hamdan, D. see Courbage, Maurice, 92g:28036 

Indurdin Eraso, Esteban see Candeal, Juan Carlos, 92i:90018 

Jardas, Cvetan (with Sarapa, Nikola) On an ergodic property of probability measures on 
compact semigroups. (Serbo-Croatian summary) 92c:47012 

Milnes, Paul (with Pym, J. S.) Haar measure for compact right topological groups. 
92¢:22009 

Nadkarni, M. G. On the existence of a finite invariant measure. 92d:28008 

Proppe, H. see Géra, Pawel, et al., 92b:58127 

Pym, J.S. see Milnes, Paul, 92e:22009 

Sarapa, Nikola see Jardas, Cvetan, 92c:47012 

Zimpel, Zbigniew Invariant Markov jump processes on compact groups. 92b:60065 

— Invariant Markov processes on compact groups, functional integration and the stochastic 
Liouville equation. 92b:60066 


28C15 Set functions and measures on topological spaces 
(regularity of measures, etc.) 


Cardinali, Tiziana Relations between a multifunction and its boundary. (Italian) 
92m:28019 

Chakraborti, T. see Sarkhel, D. N., 92e:28005 

Fernandez Novoa, J. Sigma-finiteness and regularity of generalized Radon measures. 
92k:28024 

Plebanek, Grzegorz On strictly positive measures on topological spaces. 92f:28011 

Rodriguez-Salinas, Baltasar Quasi-Radon measures and Radon measures of type (#). 
92k:28025 

Sarkhel, D. N. (with Chakraborti, T.) Separated sets and density topology in topological 
Vitali measure spaces. 92e:28005 

Sidorina, T. A. Construction of finite nondegenerate regular Borel measures on locally 
compact Hausdorff spaces of countable weight. (Russian) (see 92d:28002) 

Szeto, Mabel On separation of lattices. 92b:28015 

Zuev, M.G. Regularity of nonadditive set functions. (Russian) 92g:28024 


Items with secondary classifications in 28C15 


Fedorchuk, V. V. Probability measures in topology. (Russian) 92g:28014 

Fernandez y Fernandez-Arroyo, Fidel José (with Jiménez Guerra, Pedro) Projective limits 
of vector measures. 92¢:46094 

Gonzalez, Manuel (with Martinon, Antonio) Note on the Hausdorff measure of noncom- 
pactness. 92j:54039 

Gorelishvili, Albert Lattices with the Alexandrov properties. 92i:28004 

Grekas, S. (with Gryllakis, C.) Completion regular measures on product spaces with 
application to the existence of Baire strong liftings. 92c:28004 

Gryllakis, C. see Grekas, S., 92c:28004 

Huerta, Carlos C. A note on the cardinality of (Italian summary) 92b:28001 

Jefferies, Brian Summability in spaces of set functions. 92k:46075 

Jiménez Guerra, Pedro see Fernandez y Fernandez-Arroyo, Fidel José, 92¢:46094 

Martinon, Antonio see Gonzalez, Manuel, 92j:54039 

O’Brien, George L. (with Vervaat, Wim) Capacities, large deviations and loglog laws. 
92k:60007 

Plebanek, Grzegorz Families of sets of positive measure. 92j:28003 

Seidel, Wilfried Supports of Borel measures. 92c:28002 

Svistula, M. G. Some generalizations of Dieudonné’s theorem. (Russian) (see 92d:28002) 

Vervaat, Wim see O’Brien, George L., 92k:60007 

Zakharov, Vaierii Konstantinovich Connections between the Lebesgue extension and the 
Borel extension of the first class and between their corresponding preimages. (Russian) 
92i:28002 








395 1992 


28C20 Set functions and measures and integrals in infinite- 
dimensional spaces (Wiener measure, Gaussian measure, 
etc.) [see also 46G12, 58C35, 58D20, 60B11] 


Chung, Dong Myung (with Hwang, Hong Taek) Cylinder functions in the Fresnel class of 
functions on abstract Wiener spaces. 92k:28026 

Cruzeiro, Ana Bela Flows in infinite dimensions and associated transformations of Gaussian 
measures. 92m:28020 

Garkavi, A. L. (with Kaminskii, V. A.) An extremal problem in a space with a measure. 
(Russian) 924:28006 

Hwang, Hong Taek see Chung, Dong Myung, 92k:28026 

Kaminskii, V. A. see Garkavi, A. L., 92d:28006 

Koval'chik, I. M. Volterra and Fredholm transformations of integrals with respect to the 
generalized Wiener measure. (Russian) 92b:28016 

Park, Chull (with Skoug, David) Sample path-valued conditional Yeh-Wiener integrals and 
a Wiener integral equation. 92i:28016 

Skoug, David see Park, Chull, 92i:28016 

Yang, Ya Li Banach supports of ergodic quasi-invariant measures. (Chinese) 


Items with secondary classifications in 28C20 

Ahn, J.M. (with Johnson, Gerald W.; Skoug, David) Functions in the Fresnel class of an 
abstract Wiener space. 92k:46076 

Airault, Héléne Differential calculus on finite codimensional submanifolds of the Wiener 
space—the divergence operator. 92k:60119 

Baker, Richard L. “Lebesgue measure” on R®. 92c:46051 

Bogachev, V.1I. Distributions of analytic functionals of random processes. (Russian) 
92b:46061 

Bojdecki, Tomasz (with Jakubowski, Jacek) Stochastic integration for inhomogeneous 
Wiener process in the dual of a nuclear space. 92a:60128 

Borzov, V. V. Asymptotic behavior of the Gauss functional integral. (Russian) 92¢:60003 

Buldygin, V. V. (with Yadrenko, M.I.) A. V. Skorokhod’s work connected with the study of 
probability distributions in infinite-dimensional spaces. (Russian. Ukrainian summary) 
92e:60004 


Burgin, M.S. Hypermeasures and hyperintegration. (Russian. English summary) 
922:46052 

Chang, Joo Sup (with Johnson, Gerald W.) The Feynman integral and Feynman’s 
operational calculus: the 2(L,(R),Co(R)) theory. 924:46116 

Chang, Kun Soo (with Ryu, Kun Sik) A generalized Dyson series. (see 92m:46004) 

— (with Ryu, Kun Sik) Analytic operator valued function space integrals as an (Lp, Lp) 
theory. 92f:46055 

Chung, Dong Myung (with Park, Chull; Skoug, David) Operator-valued Feynman integrals 
via conditional Feynman integrals. 92¢:46052 

Dankel, Thad, Jr. On the distribution of the integrated square of the Ornstein-Uhlenbeck 
process. 92¢:60056 

Egorov, A. D. Approximation of functional integrals with respect to measures generated by 
solutions of stochastic differential equations on martingales. (Russian. English summary) 


Henstock, Ralph Stochastic and other functional integrals. 92h:26012 

Jakubowski, Jacek see Bojdecki, Tomasz, 92a:60128 

Johnson, Gerald W. * Existence theorems for the analytic operator-valued Feynman 
integral. 92g:46052 

— Existence theorems for the analytic operator valued Feynman integral. 92j:46083 

— see also Chang, Joo Sup, 924:46116 and Ahn, J. M.; et al., 92k:46076 

Khafizov, M. U. A quasi-invariant smooth measure on the group of diffeomorphisms of a 
domain. (Russian) 92£:58026 

— Some new results on differentiable measures. (Russian) 924:46117 

Koval'chik, I. M. Error estimates for the simplest approximation of the mean of functionals 
of a special type. (Russian) 92i:65049 

Lapidus, Michel L. The Feynman-Kac formula with a Lebesgue-Stieltjes measure: an 
integral equation in the general case. 92¢:47064 

Lavrov, P.M. (with Mudruk, V. I.) On the statistics of a polymer chain in the presence of 
random topological constraints. (Russian. English summary) 92d:82110 

Leén, Jorge A. Stochastic Fubini theorem for semimartingales in Hilbert space. 92f:60096 

Li, Yi Chia Analytic version of test functionals, Fourier transform, and a characterization 
of measures in white noise calculus. 92k:60186 

Misiewicz, J. K. (with Scheffer, C. L.) Pseudo isotropic measures. 92¢:60007 

Madruk, V.I. see Lavrov, P. M., 924:82110 

Nakamura, Touru A nonstandard representation of Feynman’s path integrals. 92a:81103 

Park, Chull (with Skoug, David) Linear transformations of Wiener integrals. 92m:46065 

— see also Chung, Dong Myung; et al., 92c:46052 

Pérez-Abreu, Victor On the L?-theory of product stochasti 
Ité integrals. 92e:60110 

Preiss, David Almost differentiability of convex functions in Banach spaces and determina- 
tion of measures by their values on balls. 92h:46061 

Ryu, Kun Sik see Chang, Kun Soo, 92f:46055 and (92m:46004) 

Scheffer, C.L. see Misiewicz, J. K., 92¢:60007 

(Skorokhod, A. V.) see Buldygin, V. V., 92e:60004 

Skoug, David see Chung, Dong Myung; et al., 92c:46052; Ahn, J. M.; et al., 92k:46076 and 
Park, Chull, 92m:46065 

Smorodina, N. V. The Gauss-Ostrogradskii formula for a configuration space. (Russian) 
92:60006 

Uglanov, A. V. Factorization of smooth measures. (Russian) 92b:46065 

Winkler, Gerhard Simplexes of measures with closed extreme boundary and presentability 
of Hausdorff spaces. 92¢:46025 

Yadrenko, M.1. see Buldygin, V. V., 92e:60004 

Yang, Ya Li On Banach support of an ergodic and quasi-invariant measure. 92¢:60009 

Ylinen, Kari Completely bounded noncommutative bimeasures and random fields. (see 
92b:00045) 





and multiple Wiener- 


28D Méeasure-theoretic ergodic theory 


28C99 None of the above, but in this section 


Items with secondary classifications in 28C99 

Borger, R. Fubini’s theorem from a categorical viewpoint. 92m:28027 
Camacho, James, Jr. On maximal measures with respect to a lattice. 92i:28006 
Ross, David Andrew Compact measures have Loeb preimages. 92i:28023 


28Dxx Measure-theoretic ergodic theory [see also 11K50, 
11K55, 22D40, 47A35, 54H20, 58Fxx, 60Fxx, 
60G10] 


Petersen, Karl * Ergodic theory. 92c:28010 
Rudolph, Daniel J. * Fundamentals of measurable dynamics. 92¢:28006 


Items with secondary classifications in 28Dxx 

Chernov, N. I. see Galperin, G. A., 92f:58108 

Galperin, G. A. (with Chernov, N. I.) * Bunnnapapi u xaoc. (Russian) [Billiards and chaos] 
92£:58108 

(von Neumann, John) see Ornstein, Donald S., 92d:01027 

Ornstein, Donald S. von Neumann and ergodic theory. 92d:01027 

(Sinai, Ya.G.) see Galperin, G. A., 92f:58108 


28D05 Measure-preserving transformations 


Aaronson, Jon (with Denker, Manfred; Fisher, Albert M.) Second order ergodic theorems 
for ergodic transformations of infinite measure spaces. 92e:28007 

Assani, Idris (with Wo%, J.) An equivalent measure for some nonsingular transformations 
and application. 92f:28012 

— (with Petersen, Karl; White, Homer) Some connections between ergodic theory and 
harmonic analysis. 92m:28021 

— (with Petersen, Karl) The helical transform as a connection between ergodic theory and 
harmonic analysis. 92g:28025 

Chaube, Pradeep (with Nadkarni, M. G.) A version of Dye’s theorem for descriptive 
dynamical systems. 92¢:28008a 

— (with Nadkarni, M. G.) Corrigendum: “A version of Dye’s theorem for descriptive 
dynamical systems”. 92e:28008b 

Dajani, Karma On superrecurrence. 92k:28027 

Denker, Manfred The central limit th for dy ical sy 92d:28007 

— see also Aaronson, Jon; et al., 92e:28007 

Epremidze, L. N. On the integrability of the ergodic maximal function. (Russian and 
Georgian summaries) 92f:28013 

Fisher, Albert M. see Aaronson, Jon; ei al., 92e:28007 

Friedman, N. A. (with King, Jonathan L.) Rank one lightly mixing. 92k:28028 

Gabriel, Patrick (with Lematiczyk, Mariusz; Mentzen, Mieczyslaw K.) Two-point cocycles 
with a strong ergodicity property. (Russian summary) 92¢:28009 

Géra, Pawel Graph-theoretic bound on number of A.C.I.M. for random transformation. 
92m:28022 

Harman, Blahoslav Dual variant of some strengthening of the maximal ergodic theorem. 
(see 92g:00029) 

Hrachovina, Ervin Individual ergodic theorem in a regular space. (Russian summary) 
92g:28026 

— An ergodic property of Bochner integrable functions. (Russian and Slovak summaries) 
92g:28027 

Halse, Paul Uniqueness and ergodic properties of attractive g-measures. 92c:28011 

— On the ergodic properties of Gibbs states for attractive specifications. 92b:28017 

losifescu, Marius On invariant probability densities of piecewise monotonic transforma- 
tions. 92h:28014 

Iwanik, Anzelm The problem of L’-simple spectrum for ergodic group automorphisms. 
(French summary) 92a:28012 

del Junco, Andrés (with Lemanczyk, Mariusz) Generic spectral properties of measure- 
preserving maps and applications. 92i:28017 

Kachurovskii, A.G. Boundedness of the fluctuation of mean sequences in the ergodic 
Birkhoff-Khinchin theorem. (Russian) 92c:28012 

Katznelson, Yitzhak (with Weiss, Benjamin) The classification of nonsingular actions, 
revisited. 92i:28018 

Kim, Choo Whan Characterizations of ergodic measures on shift spaces. 92g:28028 

King, Jonathan L. see Friedman, N. A., 92k:28028 

Kornfeld, I. Divergence of ergodic averages and orbital classification of nonsingular 
transformations. 92m:28023 

Kowalski, Zbigniew S. Returns under bounded number of iterations. 92m:28024 

Krzyzewski, Karol On regularity of measurable solutions of a cohomology equation. 
(Russian summary) 92b:28018 

Kwiatkowski, Jan (with Rojek, T.) A method of solving a cocycle functional equation and 
applications. 92g:28029 

Lehrer, Ehud (with Pant, Himanshu) On strictly ergodic models which are not almost 
topologically conjugate. 92h:28015 

Lematiczyk, Mariusz see Gabriel, Patrick; et al., 92e:28009 and del Junco, Andrés, 92i:28017 

Livshits, A. N. On the construction of Markov compact sets. (Russian) 92h:28016 

Mentzen, Mieczysiaw K. see Gabriel, Patrick; et al., 92e:28009 

Nadkarni, M. G. On the existence of a finite invariant measure. 924:28008 

— see also Chaube, Pradeep, 92e:28008a and 92e:28008b 

Nakamura, Munetaka Invariant measures and entropies of random dynamical systems and 
the variational principle for random Bernoulli shifts. 92g:28030 

Pant, Himanshu see Lehrer, Ehud, 92h:28015 

Petersen, Karl see Assani, Idris, 92g:28025 and 92m:28021 

Rao, M. Bhaskara (with Subramanyam, K.) Measures with prescribed marginals, extreme 
points and measure preserving transformations. 92g:28031 

Rietan, Beloslav An ergodic theorem in general ordered systems. 92f:28014 








28D05 


Robinson, E. Arthur, Jr. The maximal abelian subextension determines weak mixing for 
group extensions. 92e:28010 

— A general condition for lifting theorems. 92:28015 

Rojek, T. see Kwiatkowski, Jan, 92g:28029 

Scheutzow, Michael K. R. Erratum: “Periods of nonexpansive operators on finite /;-spaces” 
[European J. Combin. 9 (1988), no. 1, 73-81; MR 89h:28029]. 92a:28013 

Schmidt, Klaus D. * Algebraic ideas in ergodic theory. 92k:28029 

Schiirger, Klaus Almost subadditive extensions of Kingman’s ergodic theorem. 92i:28019 

Subramanyam, K. see Rao, M. Bhaskara, 92g:28031 

Trow, Paul Divisibility constraints on degrees of factor maps. 92b:28019 

Ullman, Daniel The self-joinings of rank two mixing transformations. 92c:28013 

Vershik, A.M. A new model of the ergodic transformations. 92g:28032 

Volny, Dalibor On limit theorems and category for dynamical systems. 92c:28014 

Weiss, Benjamin see Katznelson, Yitzhak, 92i:28018 

White, Homer see Assani, Idris; et al., 92m:28021 

Wos, J. see Assani, Idris, 92f:28012 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Schmidt, Klaus D., 92k:28029 


Items with secondary classifications in 28D05 

Aaronson, Jon (with Denker, Manfred) On the functional law of the iterated logarithm for 
recurrent events. 92b:60032 

Akcoglu, M. A. (with Baxter, J. R.; Lee, W. M. F.) Representation of positive operators and 
alternating sequences. 92i:47006 

Ashley, Jonathan Bounded-to-1 factors of an aperiodic shift of finite type are 1-to-1 almost 
everywhere factors also. 92d:58055 

— (with Kitchens, Bruce; Stafford, Matthew) Boundaries of Markov partitions. 92k:58198 

Assani, Idris Universal weights from dynamical systems to mean-bounded positive 
operators on L?. 92i:47007 

Baxter, J. R. see Akcoglu, M. A.; et al., 92i:47006 

Bertoglio, Néstor (with Martinez, Scrvet A.) Measure preserving Markov processes densely 
similar to endomorphisms. 92a:47008 

Bick, T. A. (with Coffey, John) A class of examples of D-sequences. 92d:11080 

Bobok, J. On nondifferentiable measure-preserving functions. 92b:26011 

Boyarsky, Abraham (with Gora, Pawel) The pseudo-orbit shadowing property for Markov 
operators in the space of probability density functions. 92j:58059 

— see also Géra, Pawel; et al., 92b:58127 and Byers, W.; et al., 924:58100 

Bradley, R. E. Concerning induced operators and alternating sequences. 92h:47010 

Bugiel, Piotr On the convergence of the iterates of the Frobenius-Perron operator associated 
with a Markov map defined on an interval. The lower-function approach. 92f:58096 

Byers, W. (with Gora, Pawel; Boyarsky, Abraham) Maximal absolutely continuous 
invariant measures for piecewise linear Markov transformations. 92d:58100 

Cengiz, Bahattin On measure homeomorphisms of the disc. (Turkish summary) 92i:46060 

Chen, Liang’ (with Li, Shi Hai) Shadowing property for inverse limit spaces. 92i:58094 

Coffey, John see Bick, T. A., 92d:11080 

Collet, Pierre (with Dobbertin, R.; Moussa, P.) Multifractal analysis of nearly circular Julia 
set and thermodynamical formalism. (French summary) 92k:58227 

Courbage, Maurice (with Hamdan, D.) A class of nonmixing dynamical systems with 
monotonic semigroup property. 92g:28036 

Denker, Manfred (with Urbatski, Mariusz) Absolutely continuous invariant measures for 
expansive rational maps with rationally indifferent periodic points. 92k:58154 

— (with Urbanski, Mariusz) On the existence of conformal measures. 92k:58155 

— see also Aaronson, Jon, 92b:60032 

Dobbertin, R. see Collet, Pierre; et al., 92k:58227 

Furstenberg, Hillel (with Katznelson, Yitzhak; Weiss, Benjamin) Ergodic theory and 
configurations in sets of positive density. (see 92d:05172) 

Géra, Pawel Countably piecewise expanding transformations without absolutely continuous 
invariant measure. 92c:58063 

— (with Boyarsky, Abraham; Proppe, H.) On the number of invariant measures for higher- 
dimensional chaotic transformations. 92b:58127 

— see also Byers, W.; et al., 92d:58100 and Boyarsky, Abraham, 92j:58059 

Hamdan, D. see Courbage, Maurice, 92g:28036 

Hawkins, Jane M. (with Silva, Cesar E.) Noninvertible transformations admitting no 
absolutely continuous o-finite invariant measure. 92h:58115 

Jablotiski, Marian A central limit theorem for processes generated by a family of transfor- 
mations. 92f:60031 

Jardas, Cvetan (with Sarapa, Nikola) On an ergodic property of probability measures on 
compact semigroups. (Serbo-Croatian summary) 92¢:47012 

Jones, Roger L. (with Olsen, James H.; Wierdl, Maté) Subsequence ergodic theorems for L” 
contractions. 92h:47011 

Kachurovskii, A.G. A property of operators generated by ergodic automorphisms. (Russian) 
92k:47017 

Kakiharu, }dichiré Ergodicity of asymptotically mean stationary channels. 92k:94010 

Kaminski, Brunon Decreasing nets of c-algebras and their applications to ergodic theory. 
92g:28034 

Katznelson, Yitzhak see Furstenberg, Hillel; et al., (92d:05172) 

Kieffer, John C. An almost sure convergence theorem for sequences of random variables 
selected from log-convex sets. 92j:60039 

Kim, Ki Hang (with Roush, F. W.) Full shifts over R* and invariant tetrahedra. 92m:54072 

King, Jonathan L. A map with topological minimal self-joinings in the sense of del Junco. 
92a:54036 

Kitchens, Bruce see Ashley, Jonathan; et al., 92k:58198 

Komornik, Jozef (with Thomas, Erik G. F.) Asymptotic periodicity of Markov operators on 
signed measures. (Slovak summary) 92h:28009 

Komorowski, Tomasz Piecewise convex transformations with no finite invariant measure. 
92k:58158 

Kondah, Abdelaziz (with Nowicki, Tomasz) Conditions d’existence d’une probabilité 
invariante absolument continue pour des endomorphismes de l’intervalle. (English 
summary) [Conditions of existence of an absolutely continuous invariant probability 


MEASURE AND INTEGRATION 


measure for endomorphisms of the interval] 92i:58101 

Krieger, Wolfgang (with Marcus, Brian H.; Tuncel, Selim) On automorphisms of Markov 
chains. 92m:58109 

Lacey, Michael T. On weak convergence in dynamical systems to self-similar processes with 
spectral representation. 92¢:60048 

Ledrappier, F. (with Young, L.S.) Stability of Lyapunov exponents. 92i:58096 

Lee, W. M. F. see Akcoglu, M. A.; et al., 92i:47006 

Li, Shi Hai see Chen, Liang', 92i:58094 

Marcus, Brian H. see Krieger, Wolfgang; et al., 92m:58109 

Martinez, Servet A. see Bertoglio, Néstor, 92a:47008 

Méla, Jean-Francois Quasi-invariant measures and Fourier properties. 92j:43001 

Moussa, P. see Collet, Pierre; et al., 92k:58227 

Nair, Radhakrishnan On strong uniform distribution. 92g:11076 

— On polynomials in primes and J. Bourgain’s circle method approach to ergodic theorems. 
92m:11081 

(NeSetfil, Jaroslav) see Mathematics of Ramsey theory, 92d:05172 

Nowicki, Tomasz see Kondah, Abdelaziz, 92i:58101 

Olsen, James H. Two consequences of Brunel’s theorem. 92¢:47014 

— see also Jones, Roger L.; et al., 92h:47011 

Pitskel’, B. Poisson limit law for Markov chains. 92j:60081 

Proppe, H. see Géra, Pawet, et al., 92b:58127 

Quasthoff, Uwe On automorphisms of von Neumann algebras constructed by measure space 
transformations. I, I]. 92k:46115 

(Rédl, Vojtéch) see Mathematics of Ramsey theory, 92d:05172 

Rogers, T. D. see Shirvani, M., 92j:58057 

Roush, F. W. see Kim, Ki Hang, 92m:54072 

Sarapa, Nikola see Jardas, Cvetan, 92¢:47012 

Sarnak, Peter * Some applications of modular forms. 92k:11045 

Schmitt, Bruno V. The existence of an a.c.i.p.m. for an expanding map of the interval; the 
study of a counterexample. 92d:58107 

Schweiger, Fritz Invariant measures and ergodic properties of number theoretical endomor- 
phisms. 92d:11083 

— On the invariant measure for Jacobi-Perron algorithm. 92f:11112 

Shirvani, M. (with Rogers, T. D.) On ergodic one-dimensional cellular automata. 
92j:58057 

Shortt, R.M. Normal subgroups of measurable automorphisms. 924:54051 

Silva, Cesar E. (with Thieullen, Philippe) The subadditive ergodic theorem and recurrence 
properties of Markovian transformations. 92a:47009 

— see also Hawkins, Jane M., 92h:58115 

Stafford, Matthew see Ashley, Jonathan; et al., 92k:58198 

Sucheston, Louis (with Szabé, Laszl6 1.) A principle for almost everywhere convergence of 
multiparameter processes. 92j:46136 

Szabé, Laszlé I. see Sucheston, Louis, 92j:46136 

Thieullen, Philippe see Silva, Cesar E., 92a:47009 

Thomas, Erik G. F. see Komornik, Jozef, 92h:28009 

Thouvenot, Jean-Paul La convergence presque sire des moyennes ergodiques suivant 
certaines sous-suites d’entiers (d’aprés Jean Bourgain). [Almost sure convergence of 
ergodic means along some subsequences of integers (after Jean Bourgain)] 92c:11082 

Trubetskoi, S. E. Stochastic stability of scattering billiards. (Russian. English summary) 
924:58110 

Tuncel, Selim see Krieger, Wolfgang; et al., 92m:58109 

Urbatiski, Mariusz see Denker, Manfred, 92k:58154 and 92k:58155 

Valkering, Theo P. see van der Weele, J. P., 92d:58182 

Volevich, V. L. Kinetics of coupled map lattices. 92b:58133 

van der Weele, J. P. (with Valkering, Theo P.) The birth process of periodic orbits in 
nontwist maps. 92d:58182 

Weiss, Benjamin see Furstenberg, Hillel; et al., (92d:05172) 

Wierdl, Maté see Jones, Roger L.; et al., 92h:47011 

Young, L.S. see Ledrappier, F., 92i:58096 


Items listed otherwise than by author 
Mathematics of Ramsey theory * Mathematics of Ramsey theory. 92d:05172 


28D10 One-parameter continuous families of measure-preserving 
transformations 


Bellow, Alexandra (with Krengel, Ulrich) On Hopf’s ergodic theorem for particles with 
different velocities. 92i:28020 

Castrandas, E. Pointwise ergodic theorems for multivalued functions. 92e:28011 

Girotto, Bruno (with Holzer, Silvano) Existence of invariant masses. An elementary 
treatment. (Italian summary) 92g:28033 

Glasner, Eli A topological version of a theorem of Veech and almost simple flows. 
92e:28012 

Holzer, Silvano see Girotto, Bruno, 92g:28033 

Host, Bernard (with Parreau, Francois) The generalized purity law for ergodic measures: a 
simple proof. 92b:28020 

Kowalski, Zbigniew S. Stationary perturbations based on Bernoulli processes. 92b:28021 

Krengel, Ulrich see Bellow, Alexandra, 92i:28020 

Parreau, Francois see Host, Bernard, 92b:28020 

Petersen, Karl Erratum to: “The ergodic theorem with time compression” [J. Analyse Math. 
51 (1988), 228-244; MR 90b:28023]. 92a:28014 


Items with secondary classifications in 28D10 

Becker, Maria Elena Weighted ergodic theorems for weakly mixing transformation groups. 
92b:47011 

Bertoglio, Néstor (with Dartnell, P.; Martinez, Servet A.; San Martin, Jaime) A regularisa- 
tion result of the continuous PMC Markov semigroups. 92k:47082 

Carleson, Lennart Stochastic models of some dynamical systems. 92k:58152 

Dartnell, P. see Bertoglio, Néstor; et al., 92k:47082 





397 1992 


Horbacz, Katarzyna Invariant densities for one-dimensional random dynamical systems. 
92m:58073 

Kitchens, Bruce (with Marcus, Brian H.; Trow, Paul) Eventual factor maps and composi- 
tions of closing maps. 92b:58062 

Marcus, Brian H. see Kitchens, Bruce; et al., 92b:58062 

Martinez, Servet A. see Bertoglio, Néstor; et al., 92k:47082 

Qian, Neng Sheng On multiparameter Chacon-Ornstein theorem. 92e:47015 

San Martin, Jaime see Bertoglio, Néstor; et al., 92k:47082 

Trow, Paul see Kitchens, Bruce; et al., 92b:58062 

Tserpes, N. A. A note on conservative on 





92m:43002 


err 


28D15 General groups of measure-preserving transformations 


Boivin, Daniel (with Derriennic, Yves) The ergodic theorem for additive cocycles of Z? or 
R¢. 92h:28017 

Boyle, Mike (with Tuncel, Selim) Regular isomorphism of Markov chains is almost 
topological. 92i:28021 

Derriennic, Yves see Boivin, Daniel, 92h:28017 

Kaminski, Brunon Generators of perfect a-algebras of Z?-actions. 92k:28030 

— Decreasing nets of o-algebras and their applications to ergodic theory. 92g:28034 

Kim, Ki Hang (with Roush, F.W.) On the automorphism groups of subshifts. 92j:28009 

Lipecki, Zbigniew Maximal and tight extensions of positive additive set functions. 
92b:28022 

Roush, F. W. see Kim, Ki Hang, 92j:28009 

Rubshtein, B. A. Groups of automorphisms of a Lebesgue space with an almost periodicity 
condition. (Russian) 92e:28013 

Shields, Paul C. Cutting and stacking: a method for constructing stationary processes. 
92k:28031 

Steif, Jeffrey E. Space-time Bernoullicity of the lower and upper stationary processes for 
attractive spin systems. 92f:28016 

Tuncel, Selim see Boyle, Mike, 92i:28021 


Items with secondary classifications in 28D15 


Coornaert, Michel * Sur les groupes proprement discontinus d’isométries des espaces 
hyperboliques au sens de Gromov. (French) [Properly discontinuous isometry groups of 
Gromov hyperbolic spaces] 92i:57032 

Flandoli, Franco see Schaumléffel, Kay-Uwe, 92m:60050 

Golodets, V. Ya. (with Sinel’shchikov, S. D.) Amenable ergodic actions of groups and 
images of cocycles. (Russian) 92c:22014 

Hurley, Mike Ergodic aspects of cellular automata. 92d:58121 

Kaminski, Brunon Relative generators for the action of a countable abelian group on a 
Lebesgue space. 92g:22018 

Kwiatkowski, Jan (with Lemanczyk, Mariusz) The centralizer of ergodic theory group 
extensions. 92f:22007 

Lemariczyk, Mariusz (with Mentzen, Mieczyslaw K.) Compact subgroups in the centralizer 
of natural factors of an ergodic group extension of a rotation determine all factors. 
92g:22019 

— see also Kwiatkowski, Jan, 92f:22007 

Mentzen, Mieczystaw K. see Lemariczyk, Mariusz, 92g:22019 

Mishkin, V. V. Imprimitivity domains and localizations of ideals of sets. (Russian) 
92k:54045 

Park, Kyewon Koh GL(2, Z) action on a two torus. 92g:58072 

Schaumloffel, Kay-Uwe (with Flandoli, Franco) A multiplicative ergodic theorem with 
applications to a first order stochastic hyperbolic equation in a bounded domain. 
92m:60050 

Schmidt, Klaus D. * Algebraic ideas in ergodic theory. 92k:28029 

Sinel’shchikov, S. D. see Golodets, V. Ya., 92c:22014 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Schmidt, Klaus D., 92k:28029 


28D20 Entropy and other invariants 


Alexander, James C. (with Zagier, Don) The entropy of a certain infinitely convolved 
Bernoulli measure. 92g:28035 

Boyle, Mike Eventual extensions of finite codes. 92¢:28015 

Courbage, Maurice (with Hamdan, D.) A class of nonmixing dynamical systems with 
monotonic semigroup property. 92g:28036 

Eraso Goicoechea, M. Luisa (with Garcia Olaverri, Ma. Carmen) Information indexes for 
incomplete probability distributions when distribution modifications are introduced. 
(Spanish. English summary) (see 92b:00044) 

Garcia Olaverri, Ma. Carmen see Eraso Goicoechea, M. Luisa, (92b:00044) 

Hamdan, D. see Courbage, Maurice, 92g:28036 

Kim, Ki Hang (with Roush, F.W.) An algorithm for sofic shift equivalence. 92g:28037 

Marcus, Brian H. (with Tuncel, Selim) The weight-per-symbol polytope and scaffolds of 
invariants associated with Markov chains. 92g:28038 

Markechova, Dagmar The entropy and generators of F-dynamical systems. 92g:28039 

Parry, William Notes on coding problems for finite state processes. 92c:28016 

Roush, F. W. see Kim, Ki Hang, 92g:28037 

Tuncel, Selim see Marcus, Brian H., 92g:28038 

Zagier, Don see Alexander, James C., 92g:28035 


Items with secondary classifications in 28D20 
Ashley, Jonathan Resolving factor maps for shifts of finite type with equal entropy. 
924:58056 


Bedford, Tim (with Urbanski, Mariusz) The box and Hausdorff dimension of self-affine 
sets. 92b:58125 

Behara, M. * Additive and nonadditive measures of entropy. 92i:94007 

Borwein, Jonathan M. (with Lewis, Adrian S.) Convergence of best entropy estimates. 
92b:41044 


28D Measure-theoretic ergodic theory 


28D99 


Boyle, Mike (with Fiebig, Ulf-Rainer) The action of inert finite-order automorphisms on 
finite subsystems of the shift. 92g:58029 

Brucks, K. M. (with Diamond, Beverly) Monotonicity of auto-expansions. 92h:58101 

Collet, Pierre (with Isola, Stefano) On the essential spectrum of the transfer operator for 
expanding Markov maps. 92h:58157 

Craizer, M. Entropy of inner functions. 92m:30067 

Denker, Manfred (with Keller, Gerhard; Urbariski, Mariusz) On the uniqueness of 
equilibrium states for piecewise monotone mappings. 92¢:58061 

Diamond, Beverly see Brucks, K. M., 92h:58101 

Fiebig, Ulf-Rainer see Boyle, Mike, 92g:58029 

Isola, Stefano see Collet, Pierre, 92h:58157 

Karimpour, Rahim G. Topological entropy of a homeomorphism on a tree. 92h:54027 

Kawakami, Satoshi Relative entropy of a fixed point algebra. 92h:46094 

Keller, Gerhard see Denker, Manfred; et al., 92c:58061 

Kim, Ki Hang (with Roush, F. W.) Williams’s conjecture is false for reducible subshifts. 
92j:54055 

Lewis, Adrian S. see Borwein, Jonathan M., 92b:41044 

Lind, Douglas (with Schmidt, Klaus D.; Ward, Tom) Mahler measure and entropy for 
commuting automorphisms of compact groups. 92j:22013 

Mackey, Michael C. see Provatas, Nicholas, 92m:58075 

Mendes France, Michel Dimension et entropie des courbes. [Dimension and entropy of 
curves] 92¢:11154 

Nakamura, Munetaka Invariant measures and entropies of random dynamical systems and 
the variational principle for random Bernoulli shifts. 92g:28030 

Piérek, Jézef On weakly mixing and generic chaos. 92m:54073 

Provatas, Nicholas (with Mackey, Michael C.) Asymptotic periodicity and banded chaos. 
92m:58075 

Rechester, Alexander B. (with White, Roscoe Beryl) Symbolic kinetic analysis of two- 
dimensional maps. 92f:58055 

Robinson, E. Arthur, Jr. A general condition for lifting theorems. 92f:28015 

Roush, F. W. see Kim, Ki Hang, 92j:54055 

Schmidt, Klaus D. * Algebraic ideas in ergodic theory. 92k:28029 

— see also Lind, Douglas; et al., 92j:22013 

Shub, M. (with Weiss, Benjamin) Can one always lower topological entropy? 92i:58105 

Szépfalusy, Péter Properties of generalized entropies in one-dimensional maps. 92c:58086 

Tagi-Zade, A. T. A variational characterization of the topological entropy of continuous 
groups of transformations. The case of R” actions. (Russian) 92b:58132 

Urbariski, Mariusz see Bedford, Tim, 92b:58125 and Denker, Manfred; et al., 92c:58061 

Ward, Tom see Lind, Douglas; et al., 92j:22013 

Weiss, Benjamin see Shub, M., 92i:58105 

White, Roscoe Beryl see Rechester, Alexander B., 92£:58055 

Williams, Susan Lattice invariants for sofic shifts. 92k:58076 

Yomdin, Y. Local complexity growth for iterations of real analytic mappings and semiconti- 
nuity moduli of the entropy. 92m:58076 

Zhong, Xun see Zhou, Zuo Ling; et al., 92k:58161 

Zhou, Zuo Ling (with Zhong, Xun) A theorem on ergodic measures and its applications. 
(Chinese. English summary) 92k:58161 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Schmidt, Klaus D., 92k:28029 


28D99 None of the above, but in this section 


Adamski, Wolfgang Invariant measures for Markov operators on vector lattices of real- 
valued functions. 92h:28018 

— An existence theorem for probability measures invariant under a Markov kernel. 
92h:28019 

Dooley, Anthony H. Les G: [G. ] 92f:28017 

Kondah, Abdelaziz Perturbations aléatoires de systemes dynamiques unidimensionnels. 
(English summary) [Random perturbations of one-dimensional dynamical systems] 
92k:28032 





Items with secondary classifications in 28D99 

Artuso, Roberto (with Aurell, Erik; Cvitanovi¢, Predrag) Recycling of strange sets. I. Cycle 
expansions. 92¢:58104 

— (with Aurell, Erik; Cvitanovié, Predrag) Recycling of strange sets. II. Applications. 
92¢:58105 

Asmar, Nakhlé H. (with Nair, Radhakrishnan) Certain averages on the a-adic numbers. 
92¢:11079 

Aubin, Jean-Pierre (with Frankowska, Halina; Lasota, Andrzej) Poincaré’s recurrence 
theorem for set-valued dynamical systems. 92i:54040 

Aurell, Erik see Artuso, Roberto; et al., 92c:58104 and 92c:58105 

Baldwin, Stewart (with Slaminka, Edward E.) On measures preserved by Brouwer 
homeomorphisms. 92a:54034 

Blanchard, F. Extensions a fibre constante. (English summary) [Extensions with constant 
fiber] 92:58052 

Blimlinger, Martin Asymptotic distribution and weak convergence on compact Riemannian 
manifolds. 92h:58033 

Busch, Paul (with Quadt, Ralf) On Ruch’s principle of decreasing mixing distance in 
classical statistical physics. 92a:82076 

Campbell, James T. (with Jamison, James E.) The analysis of composition operators on L? 
and the Hopf decomposition. 92h:47036 

Carreira, A. (with Hongler, M.-O.; Vilela Mendes, Rui) Variational formulation and 
ergodic invariants. 92d:58101 

Cémez, Dogan (with Lin, Michael) Mean ergodicity of L; contractions and pointwise 
ergodic theorems. 92k:47016 

— A remark on the weighted averages for superadditive processes. 92g:47008 

Cvitanovi¢, Predrag see Artuso, Roberto; et al., 92¢:58104 and 92c:58105 

Ding, Jiu (with Li, Tien-Yien) Markov finite approximation of Frobenius-Perron operator. 
92i:47008 





28D99 


Frankowska, Halina see Aubin, Jean-Pierre; et al., 92i:54040 

Franzové, Nora Typical continuous function has the set of chain recurrent points of zero 
Lebesgue measure. (Russian and Slovak summaries) 92f:58099 

Hasler-Richter, Karin Approximation of mixing point configuration spaces over Z? by 
spaces of set configurations. 92h:82006 

Heble, Madhar P. (with Sundaresan, Kondagunta) Ergodic properties of a class of 
nonlinear operators. (Russian summary) 92d:47093 

Hongier, M.-O. see Carreira, A.; et al., 92d:58101 

Iwanik, Anzelm Independent sets of transitive points. 924:58105 

— (with de Sam Lazaro, José) Sur la multiplicité L’ d’un automorphisme gaussien. (English 
summary) [On the L? multiplicities of Gaussian automorphisms] 92f:47006 

Jamison, James E. see Campbell, James T., 92h:47036 

King, Jonathan L. Dilemma of the sleeping stockbroker. 

Komorowski, Tomasz (with Tyrcha, Joanna) Asymptotic properties of some Markov 
operators. (Russian summary) 92f:47029 

Lasota, Andrzej see Aubin, Jean-Pierre; et al., 92i:54040 

Lee, Felix A mean ergodic theorem for multiparameter superadditive processes on Banach 
lattices. 92e:47013 

Li, Tien-Yien see Ding, Jiu, 92i:47008 

Lin, Michael see Cimez, Dogan, 92k:47016 

Leskot, Krzysztof (with Rudnicki, Ryszard) Sweeping of some integral operators. (Russian 
summary) 92f:47030 

La, Ya Yan Ordering by auto-expansions. 92f:58053 

Luan, Chang Fu Baker’s transformation and its irreversibility. 92i:58102 

McCauley, J. L., Jr. Deterministic statistical independence, nonperiodic symbol sequences 
and Gibbs distributions. 92b:11050 

Misiurewicz, Michal (with Nitecki, Zbigniew) Combinatorial patterns for maps of the 
interval. 92h:58105 

Nair, Radhakrishnan see Asmar, Nakhié H., 92c:11079 

Nikodem, Kazimierz On ¢-invariant measures and a functional equation. 92m:39014 

Nitecki, Zbigniew see Misiurewicz, Michal, 92h:58105 

Ornstein, Donald S. (with Shields, Paul C.) Universal almost sure data compression. 
92b:94028 

Pandey, Akhilesh (with Ramaswamy, Ramakrishna) Level spacings for harmonic-oscillator 
systems. 92g:81034 

Quadt, Ralf see Busch, Paul, 92a:82076 

Radin, Charles Disordered ground states of classical lattice models. 92g:82007 

Ramaswamy, Ramakrishna see Pandey, Akhilesh, 92g:81034 

Rogers, T. D. (with Shirvani, M.) An ergodic family of maps on sequence spaces. 
924:58059 

Rudnicki, Ryszard see Loskot, Krzysztof, 92f:47030 

de Sam Lazaro, José see Iwanik, Anzelm, 92f:47006 

Shields, Paul C. see Ornstein, Donald S., 92b:94028 

Shirvani, M. see Rogers, T. D., 924:58059 

Slaminka, Edward E. see Baldwin, Stewart, 92a:54034 

Spielberg, John Free-product groups, Cuntz-Krieger algebras, and covariant maps. 
92j:46120 

Sundaresan, Kondagunta see Heble, Madhar P., 924:47093 

Tyrcha, Joanna see Komorowski, Tomasz, 92f:47029 

Vilela Mendes, Rui see Carreira, A.; et al., 92d:58101 

Wittmann, Rainer Hopf’s ergodic theorem for nonlinear operators. 92d:47070 

Yang, Ya Li Banach supports of ergodic quasi-invariant measures. (Chinese) 


28Exx Miscellaneous topics in measure theory 


28E05 Nonstandard measure theory [see also 03H05, 26E35] 


Cater, F.S. A Bernstein parting of a space of measurable sets. 92g:28040 

Gordon, E. 1. On Loeb measures. (Russian) 92j:28010 

Landers, Dieter (with Rogge, Lothar) Inner and outer Banach-valued Loeb-measures. 
92i:28022 

— (with Rogge, Lothar) Pointwise measurability in nonstandard models. 92e:28014 

Osswald, Horst (with Sun, Yeneng) On the extensions of vector-valued Loeb measures. 
92g:28041 

Rogge, Lothar see Landers, Dieter, 92e:28014 and 92i:28022 

Ross, David Andrew Compact measures have Loeb preimages. 92i:28023 

Sun, Yeneng see Osswald, Horst, 92g:28041 

Zivaljevié, Bosko Uniqueness of unbounded Loeb measure using Choquet’s theorem. 
92m:28025 


Items with secondary classifications in 28E05 

Capitiski, Marek (with Cutland, Nigel J.) Statistical solutions of Navier-Stokes equations 
by nonstandard densities. 92k:35215 

Cutland, Nigel J. see Capitiski, Marek, 92k:35215 

Kachurovskii, A.G. Boundedness of the fluctuation of mean sequences in the ergodic 
Birkhoff-Khinchin theorem. (Russian) 92c¢:28012 

Sun, Guang Run see Xu, Li Zhi; et al., 92d:26038 

Xu, Li Zhi (with Sun, Guang Run) The quasi-Duhamel principle and its applications. 
(Chinese summary) 924:26038 


28E10 Fuzzy measure theory [see also 04A72, 26E50, 94D05] 


Butnariu, Dan (with Klement, Erich Peter) Triangular norm-based measures and their 
Markov kernel representation. 92i:28024 

de Campos Ibdiiez, Luis Miguel (with Lamata, Maria T.; Moral, Serafin) A unified 
approach to define fuzzy integrals. 92e:28015 


Dvuretenskij, Anatolij On the existence of probability measures on fuzzy measurable spaces. 


92i:28025 


MEASURE AND INTEGRATION 


— The Radon-Nikodym theorem for fuzzy probability spaces. 92i:28026 

Goldberg, A. A. An integral with respect to a fuzzy measure. (Russian. English and 
Armenian summaries) 92g:28042 

Klement, Erich Peter (with Weber, Siegfried) Generalized measures. 92a:28015 

— see also Butnariu, Dan, 92i:28024 

Kolesdérova4, Anna Representation of fuzzy observables. (see 92b:00045) 

Lamata, Maria T. see de Campos Ibdiiez, Luis Miguel; et al., 92e:28015 

Liu, Pu Yin Fuzzy valued measures and fuzzy martingales. (Chinese. English summary) 
92k:28033 

Mesiar, Radko On the sum of general fuzzy observables. (see 92b:00045) 

Miglionico, Maria Cristina Regularity properties of nonadditive set functions. 92f:28018 

Moral, Serafin see de Campos Ibdiiez, Luis Miguel; et al., 92e:28015 

Murofushi, T. (with Sugeno, Michio) Fuzzy t-conorm integral with respect to fuzzy 
measures: generalization of Sugeno integral and Choquet integral. 92m:28026 

Nather, Wolfgang Sugeno’s j-fuzzy measures as hit-or-miss probabilities of Poisson point 
processes. 

Piasecki, Krzysztof Extension of fuzzy P-measures generated by means of a usual 
probability measure. 92¢:28017 

Qiao, Zhong Transformation theorems of abstract integrals on fuzzy sets. 92g:28043 

Qin, Xin Xiang A generalization of fuzzy integrals. (Chinese. English summary) 92h:28020 

Sugeno, Michio see Murofushi, T., 92m:28026 

Sun, Qing He The convergence theorems and Fubini type theorem for Sugeno’s fuzzy 
integral. (see 92k:68001) 

Suzuki, Hisakichi Atoms of fuzzy measures and fuzzy integrals. 92g:28044 

Wang, Zhen Yuan On the null-additivity and the autocontinuity of a fuzzy measure. 
92i:28027 

Weber, Siegfried Conditional measures and their applications to fuzzy sets. 92k:28034 

— see also Klement, Erich Peter, 92a:28015 

Zhang, Guang Quan Semilattice structure of all extensions of the possibility measure and 
the consonant belief function on the fuzzy set. 92i:28028 


Items with secondary classifications in 28E10 

Ban, J. A remark on the metric structure of the space of integrably bounded fuzzy variables. 
(Russian and Slovak summaries) 92g:60007 

lino, Riichi A guide to fuzzy mathematics. (Japanese. English summary) 92h:04006 

Markechova, Dagmar The entropy and generators of F-dynamical systems. 92g:28039 

Meng, Guang Wu (with Zhang, Xing Fang) The theory of grey real functions. 92g:04011 

Pap, Endre On nonadditive set functions. 92g:28004 

Puri, Madan L. (with Ralescu, Dan A.) Convergence theorem for fuzzy martingales. 
92i:60012 

Ralescu, Dan A. see Puri, Madan L., 92i:60012 

Rietan, Beloslav An ergodic theorem in general ordered systems. 92f:28014 

Stojakovic, Mila R"-valued fuzzy random variable. (Serbo-Croatian summary) 

Yue, Huang Grey function and grey relation grade. 92g:04015 

Zhang, Xing Fang see Meng, Guang Wu, 92g:04011 


28E15 Other connections with logic and set theory 


Borger, R. Fubini’s theorem from a categorical viewpoint. 92m:28027 

Gluschankof, Daniel (with Tilli, Miguel) Measure and representation. (Spanish) 
92k:28035 

Tilli, Miguel see Gluschankof, Daniel, 92k:28035 


Items with secondary classifications in 28E15 

Brendle, Jorg Larger cardinals in Cichon’s diagram. 92i:03055 

Burgin, M.S. Hypermeasures and hyperintegration. (Russian. English summary) 
92a:46052 

Heyer, Dieter * Booleschwertige und probabilistische MeBtheorie. (German) [Boolean- 
valued and probabilistic measurement theory] 92:92049 

Kusraev, A. G. (with Malyugin, S. A.} On the extension of finitely additive vector measures. 
(Russian) 92g:28023 

Malyugin, S. A. see Kusraev, A. G., 92g:28023 

Saint-Raymond, Jean Classification de Wadge. [The Wadge classification] 92j:54052 

Shelah, Saharon (with Woodin, W. Hugh) Large cardinals imply that every reasonably 
definable set of reals is Lebesgue measurable. 92m:03087 

Sherman, Glen Aldridge On bounded paradoxical subsets of the plane. 92e:04005 

Woodin, W. Hugh see Shelah, Saharon, 92m:03087 

Zivaljevié, Bosko Some results about Borel sets in descriptive set theory of hyperfinite sets. 
92g:03075 


28E99 None of the above, but in this section 


Items with secondary classifications in 28E99 


Kirsch, Arnold Das Paradoxon von Hausdorff, Banach und Tarski: Kann man es “ver- 
stehen”? [The paradox of Hausdorff, Banach and Tarski: can one “understand” it?] 
92b:28009 

Makowski, Louis (with Ostroy, Joseph M.) Vickrey-Clarke-Groves mechanisms in 
continuum economies: characterization and existence. 92h:90037 

Ostroy, Joseph M. see Makowski, Louis, 92h:90037 





399 1992 


30-XX Functions of a complex variable {For 
analysis on manifolds, see 58-XX.} 


30-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 30-00 


Brezinski, Claude * A bibliography on continued fractions, Padé approximation, sequence 
transformation and related subjects. 92j:00011 


30-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Berenstein, Carlos A. (with Gay, Roger) * Complex variables. 92:30001 

Gay, Roger see Berenstein, Carlos A., 92f:30001 

Gluchoff, Alan A simple interpretation of the complex contour integral. 

Greuel, O. (with Kadner, H.) * Komplexe Funktionen und konforme Abbildungen. 
(German) [Complex functions and conformal mappings] 

Heinonen, Juha Quasiconformal mappings onto John domains. 92k:30001 

Kadner, H. see Greuel, O. 

Loeb, Peter A. A note on Dixon’s proof of Cauchy’s integral theorem. 92d:30001 

Palka, Brace P. * An introduction to complex function theory. 92b:30001 

Rao, Murali (with Stetker, Henrik) * Complex analysis. An invitation. 92g:30001 

Stetker, Henrik see Rao, Murali, 92g:30001 


Items with secondary classifications in 30-01 

Beardon, Alan F. * Iteration of rational functions. 92j:30026 

Benoist-Gueutal, Pierrette (with Courbage, Maurice) * Mathématiques pour la physique. 
Tome 1. (French) [Mathematics for physics. Vol. 1] 92m:00004 

Courbage, Maurice see Benoist-Gueutal, Pierrette, 92m:00004 

Friedman, Bernard * Lectures on applications-oriented mathematics. 92a:00005 

Janich, Klaus * Analysis fir Physiker und Ingenieure. (German) [Analysis for physicists 
and engineers] 92a:00008 

(Twersky, Victor) see Friedman, Bernard, 922:00005 


30-02 Research exposition (monographs, survey articles) 


Lavrent'ev, M. A. (with Shabat, B. V.) %* Métodos de la teoria de las funciones de una 
variable compleja. (Spanish) [Methods of the theory of one complex variable] 92i:30001 

Shabat, B. V. see Lavrent'ev, M. A., 92i:30001 

(Stekélnikova, Irina A.) see Lavrent'ev, M. A., 92i:30001 


Items with secondary classifications in 30-02 

David, Guy René (with Semmes, Stephen) Intégrales singuliéres et régularité des sous- 
ensembles de R”. [Singular integrals and regularity of subsets of R"] 92h:42001 

Semmes, Stephen see David, Guy René, 92h:42001 

Tutschke, Wolfgang Introduction: the new methods of complex analysis. (see 92i:00023) 


30-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 30-03 

Beurling, Arne * The collected works of Arne Beurling. Vol. 1. 92k:01046a 

— * The collected works of Arne Beurling. Vol. 2. 92k:01046b 

Bottazzini, Umberto Pincherle and the theory of analytic functions. (Italian) 92m:01050 

(Carleson, Lennart) see Beurling, Arne, 92k:01046a and 92k:01046b 

Ermolaeva, N.S. Mathematical cartography and D. A. Grave’s method for solving the 
Dirichlet problem. (Russian) 92¢:01044 

Gaier, Dieter Uber die Entwicklung der Funktionentheorie in Deutschland von 1890 bis 
1950. [On the evolution of function theory in Germany from 1890-1950] 92b:01041 

(Grave, D. A.) see Ermolaeva, N. S., 92¢:01044 

Lavrent'ev, M. A. * M36paHnbie TpyabI. MaTemMatuka H MexaHuka. (Russian) [Selected 
works. Mathematics and mechanics] 92d:01078 

(Malliavin, Paul) see Beurling, Arne, 92k:01046a and 92k:01046b 

(Neuberger, John W.) see Beurling, Arne, 92k:01046a and 92k:01046b 

(Wermer, John) see Beurling, Arne, 92k:01046a and 92k:01046b 


Items listed otherwise than by author 
Bibliography: 
Lavrent’ev, M. A. see Lavrent'ev, M. A., 924:01078 
Biography: 
Lavrent'ev, M. A. see Lavrent'ev, M. A., 92d:01078 
Collected Works: 
Beurling, Arne see Beurling, Arne, 92k:01046a and 92k:01046b 


30-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Items with secondary classifications in 30-04 

Gatermann, Karin (with Hoffmann, Christoph M.; Opfer, Gerhard) Explicit Faber 
polynomials on circular sectors. 92h:30011 

Hoffmann, Christoph M. see Gatermann, Karin; et al., 92h:30011 

Koepf, Wolfram On two conjectures of M. S. Robertson. 92£:30004 

Opfer, Gerhard see Gatermann, Karin; et al., 92h:30011 


FUNCTIONS OF A COMPLEX VARIABLE 


30-06 Proceedings, conferences, collections, etc. 


(Dimovski, Ivan H.) see Complex analysis and applications 87, 92d:30002 

(Kiryakova, Virginia S.) see Complex analysis and applications °87, 92d:30002 

(Padmanabhan, K.S.) see New trends in geometric function theory and applications, 
92m:30002 

(Parvatham, R.) see New trends in geometric function theory and applications, 92m:30002 

(Ponnusamy, S.) see New trends in geometric function theory and applications, 92m:30002 

(Vakhrameev, S. A.) see Complex analysis. One variable, 92m:30001 


Items listed otherwise than by author 
Bibliography: 
Padmanabhan, K.S. * New trends in geometric function theory and applications. 
92m:30002 
Biography: 
Padmanabhan, K.S. * New trends in geometric function theory and applications. 
92m:30002 
Complex analysis and applications 87 * Complex analysis and applications ’87. 92d:30002 
Complex analysis. One variable * Komnnexcubifi ananu3. Onna nepemennas. |. (Russian) 
[Complex analysis. One variable. 1] 92m:30001 
Conference: 
Analytic Functions * Proceedings of the Tenth Conference on Analytic Functions. 
Complex Analysis and Applications * Complex analysis and applications ’87. 92d:30002 
New Trends in Geometric Function Theory and Applications * New trends in geometric 
function theory and applications. 92m:30002 
Itogi Nauki i Tekhniki * Komnzexcusit ananu3. Ogua nepemennas. |. (Russian) [Complex 
analysis. One variable. 1] 92m:30001 
Madras * New trends in geometric function theory and applications. 92m:30002 
New trends in geometric function theory and applications * New trends in geometric 
function theory and applications. 92m:30002 
Proceedings: 
Conference on Analytic Functions * Proceedings of the Tenth Conference on Analytic 
Functions. 
Seminar: 
Geometric Function Theory * Seminar of Geometric Function Theory. 92h:30001 
Szczyrk * Proceedings of the Tenth Conference on Analytic Functions. 
Varna * Complex analysis and applications '87. 92d:30002 


Items with secondary classifications in 30-06 


(Kiihnau, R.) see Boundary value and initial value problems in complex analysis: studies 
in complex analysis andits applications to partial differential equations, 92h:00020 and 
Geometric function theory and applications of complex analysis to mechanics: studies in 
complex analysis and its applications to partial differential equations, 92h:00021 

(Mshimba, Ali Seif) see Functional analytic methods in complex analysis and applications to 
partial differential equations, 92i:00023 

(Tutschke, Wolfgang) see Boundary value and initial value problems in complex analysis: 
studies in complex analysis andits applications to partial differential equations, 92h:00020; 
Geometric function theory and applications of complex analysis to mechanics: studies 
in complex analysis and its applications to partial differential equations, 92h:00021 and 
Functional analytic methods in complex analysis and applications to partial differential 
equations, 92i:00023 


Items listed otherwise than by author 


Analyse complexe * Analyse complexe. [Complex analysis] 

Boundary value and initial value problems in complex analysis: studies in complex analysis 
and its applications to partial differential equations * Boundary value and initial value 
problems in complex analysis: studies in complex analysis and its applications to partial 
differential equations. 1. 92h:00020 

Bucharest * Analyse complexe. [Complex analysis] 

Colloquium: 

Complex Analysis * Analyse complexe. [Complex analysis] 

Complex analysis * Analyse complexe. [Complex analysis} 

Conference: 

Complex Analysis and its Applications to Partial Differential Equations * Boundary value 
and initial value problems in complex analysis: studies in complex analysis and its 
applications to partial differential equations. 1. 92h:00020 

— * Geometric function theory and applications of complex analysis to mechanics: 
studies in complex analysis and its applications to partial differential equations. 2. 
92h:00021 

Functional analytic methods in complex analysis and applications to partial differential 
equations * Functional analytic methods in complex analysis and applications to partial 
differential equations. 92i:00023 

Geometric function theory and applications of complex analysis to mechanics: studies in 
complex analysis and its applications to partial differential equations * Geometric 
function theory and applications of complex analysis to mechanics: studies in complex 
analysis and its applications to partial differential equations. 2. 92h:00021 

Halle * Boundary value and initial value problems in complex analysis: studies in complex 
analysis and its applications to partial differential equations. 1. 92h:00020 

— * Geometric function theory and applications of complex analysis to mechanics: studies 
in complex analysis and its applications to partial differential equations. 2. 92h:00021 

Seminar: 

Complex Analysis * Analyse complexe. [Complex analysis] 

Trieste * Functional analytic methods in complex analysis and applications to partial 
differential equations. 92i:00023 

Workshop: 

Functional Analytic Methods in Complex Analysis and Applications to Partial Differential 
Equations * Functional analytic methods in complex analysis and applications to 
partial differential equations. 92i:00023 





30Axx 
30Axx General properties 


30A05 Monogenic properties of complex functions (including 
polygenic and areolar monogenic functions) 


Diab, F.M. About the analyticity conditions for complex continuous functions. I, II. 
(Arabic summary) 


Items with secondary classifications in 30A05 

Dimitrovski, Dragan see Rajovi¢, Miloje, 92i:34006 

Malonek, Helmuth Power series representation for monogenic functions in R*+! based on a 
permutational product. 92f:30065 

Rajovi¢é, Miloje (with Dimitrovski, Dragan) Sur la méthode de l’intégrale généralisée de 
Laplace appliquée aux équations aréolaires linéaires. (Serbo-Croatian summary) [The 
Laplace generalized-integral method applied to linear areolar equations] 92i:34006 


30A10 Inequalities in the complex domain 


Govil, N. K. Some inequalities for maximum modules of polynomials. 92f:30002 
Li, Kin Y. Inequalities for fixed points of holomorphic functions. 92h:30002 
Qazi, M. A. On the maximum modulus of polynomials. 92i:30002 


Items with secondary classifications in 30A10 


Herold, Horst Funktionentheoretische Integralungleichung mit geometrischer Anwendung. 
[Function-theoretic integral inequality with geometric application] 92c:30035 

Kufarev, B. P. New oscillatory inequalities and some of their applications. (Russian) 
92g:26024 

Ray, Brajakishore On the maximum term of the derivatives of entire functions in several 
complex variables represented by multiple power series. 92¢:32002 

Spijker, Marc N. On a conjecture by LeVeque and Trefethen related to the Kreiss matrix 
theorem. 92h:15012 


30A99 None of the above, but in this section 


Buckley, James J. (with Qu, Yun Xia) Fuzzy complex analysis. I. Differentiation. 

Jiang, Run Rong A generalization of Grace’s theorem. (Chinese) 

Kirjackis, Edward G. Some identities connected with divided differences. (Russian. English 
and Lithuanian summaries) 92e:30001 

Qu, Yun Xia see Buckley, James J. 


30Bxx Series expansions 


30B10 Power series (including lacunary series) 


Andreian Cazacu, Cabiria Gap series, annular functions and normal exhaustibility. (see 
92d:30002) 

Cella, Otto (with Lettl, Giinter) Power series and zeroes of trinomial equations. 92m:30003 

Hallenbeck, D. J. (with Samotij, Krzysztof) Radial growth of functions in Bergman-type 
spaces. 92k:30002 

Hedenmalm, Hakan Formal power series and nearly analytic functions. 92f:30003 

Knopfmacher, Arnold Generalized series expansions of functions. 92g:30002 

Koepf, Wolfram On two conjectures of M. S. Robertson. 92£:30004 

Lettl, Ginter see Cella, Otto, 92m:30003 

Matos, Ana C. Some new acceleration methods for periodic-linearly convergent power 
series. 92i:30003 

Norfolk, Timothy S. Some observations on the Saff-Varga width conjecture. 92h:30003 

Riedel, Roland Konvergenzbeschleunigung von Potenzreihen mittels Euler-Bromwich- 
Transformation. II. [Accelerating the convergence of power series by means of the Euler- 
Bromwich transform. II] 92g:30003 

Samotij, Krzysztof see Hallenbeck, D. J., 92k:30002 

Todorov, Pavel G. A disproof of a conjecture of Robertson and generalizations. 92k:30003 

Ullrich, Peter Wie man beim WeierstraBschen Aufbau der Funktionentheorie des 
Cauchysche Integral vermeidet. [How to avoid the Cauchy integral in Weierstrass’ system 
of function theory] 92b:30002 

Zhu, Ke He Duality of Bloch spaces and norm convergence of Taylor series. 92h:30004 


Items with secondary classifications in 30B10 

Fransén, Arne Properties of Stirling polynomials and a disproof of Robertson’s conjecture. 
92d:11016 

Karabut, E. A. Semi-analytical investigation of unsteady free-boundary flows. 92¢:65005 

Lei, Zhi Xian Some properties of generalized Rudin-Shapiro polynomials. (Chinese) 
92k:11027 

Matos, Ana C. Construction of new transformations for lacunary power series based on the 
Cauchy-type approximants. 92f:65011 

Oskolkov, V. A. A criterion for a quasipower basis and its application. (Russian) 92c:30053 

Schlag, Wilhelm A note on complex Tauberian theorems. 92k:40006 

Sun, Dao Chun Boundary properties of lacunary and random series. (Chinese. English 
summary) 92k:60109 

Yang, Xi Ping The radial behavior of lacunary series. (Chinese. English summary) 
92i:30031 

Yur'ev, D. V. Radius of univalence of a regular function. (Russian) 92j:17024 


30B20 Random power series 


Items with secondary classifications in 30B20 


Erémenko, A. E. Lower estimate in Littlewood’s conjecture on the mean spherical derivative 
of a polynomial and iteration theory. 92k:30008 


FUNCTIONS OF A COMPLEX VARIABLE 


1992 400 


30B30 Boundary behavior of power series, over-convergence 


Korobeinik, Yu. F. (with Mavrodi, N. N.) Singular points of Hadamard composition. 
(Russian. Ukrainian summary) 92c:30001 

Mavrodi, N. N. see Korobeinik, Yu. F., 92c:30001 

Nestoridis, V. (with Pichorides, S. K.) The circular structure of the set of limit points of 
partial sums of Taylor series. 92h:30005 

Pichorides, S. K. see Nestoridis, V., 92h:30005 


30B40 Analytic continuation 


Gill, John The use of repulsive fixed points to analytically continue certain functions. 
92m:30004 


Items with secondary classifications in 30B40 

Boichev, Georgi S. On Jacobi series having polar singularities on the boundaries of their 
convergence regions. 92j:33016 

Ciulli, M. (with Ciulli, S.; Spearman, T. D.) Weak-star compactness and its relevance to 
analyticity problems. 92f:46091 

Ciulli, S. see Ciulli, M.; et al., 92:46091 

Epifanov, O. V. Subharmonic continuation of subharmonic functions and separation of 
singularities of analytic functions. (Russian) (see 92f:00019) 

Fedotov, A.M. Numerical algorithms for analytic continuation from discrete sets, and an 
algorithmic proof of uniqueness theorems. (Russian) 92h:65021 

Hedenmalm, Hakan Formal power series and nearly analytic functions. 92f:30003 

Spearman, T. D. see Ciulli, M.; et al., 92f:46091 


30B50 Dirichlet series and other series expansions, exponential 
series [see also 11M41, 42-XX] 


Dodunova, L. K. A generalization of the universality property of Faber polynomial series. 
(Russian) 92i:30004 

Gaisin, A.M. Asymptotic behavior of the sum of an entire Dirichlet series on curves. 
(Russian) (see 92f:00019) 

— Behavior of the sum of a series of exponentials near the boundary of the domain of 
regularity. (Russian) 92a:30001 

Golightly, George O. Absolutely convergent Lidstone series. II. 92h:30006 

Juneja, O. P. see Srivastava, G. S., 92h:30008 

Krutigolova, E. K. Properties of exponential series whose exponents have finite density. 
(Russian. Ukrainian summary) 92k:30004 

Kumar, Arvind (with Srivastava, G. S.) Characterization of bases in the space of entire 
Dirichlet series of order zero. 92f:30005 

Kumar, Naresh (with Srivastava, G.S.) On the derivatives of a function analytic in a half 
plane. 92h:30007 

— (with Srivastava, G. S.) Growth estimates of analytic functions defined by Dirichlet 
series. 92j:30001 

Makarov, V. Yu. On the growth of the sum of a multiple series of exponentials. (Russian) 
92d:30003 

Rani, Sunita (with Srivastava, G. S.) On the coefficients of analytic functions of fast growth 
represented by Dirichlet series. 92f:30006 

— see also Srivastava, G. S. 

Shapovalovskii, A. V. see Vinnitskii, B. V., 92a:30002 

Sheremeta, M. N. On the convergence rate of the partial sums of positive entire Dirichlet 
series. (Russian summary) 92k:30005 

Shuai, Qi Hui see Zhang, Guang Zhu; et al., 92k:30006 

Sinha, P.C. Some results on a Banach algebra of a class of Dirichlet series. 92m:30005 

Sorokivskii, V.M. see Vinnitskii, B. V., 92j:30002 

Srivastava, G.S. (with Rani, Sunita) On the mean values of analytic functions of slow 
growth represented by Dirichlet series. 

— (with Juneja, O. P.) On the maximum term and central index of Dirichlet series 
representing analytic function in a half plane. 92h:30008 

— see also Kumar, Arvind, 92f:30005; Rani, Sunita, 92f:30006; Kumar, Naresh, 92h:30007 and 
92j:30001 

Vinnitskii, B. V. (with Shapovalovskii, A. V.) The behavior on the real axis of entire 
functions represented by Dirichlet series with complex exponents. (Russian. Ukrainian 
summary) 92a:30002 

— (with Sorokivskii, V.M.) Behavior on the real axis of entire functions represented by 
Dirichlet series. (Russian. Ukrainian summary) 92j:30002 

Wiessner, Martin A concept of regularity for summability of Dirichlet series. 92a:30003 

Wu, Min Growth of stochastic Dirichlet series on horizontal straight lines. (Chinese) 
92h:30009 

Zhang, Guang Zhu (with Shuai, Qi Hui) A generalization of Hadamard’s complex theorem. 
(Chinese) 92k:30006 


Items with secondary classifications in 30B50 


Higgins, J. R. Sampling theorems and the contour integral method. 92m:30051 

Laohakosol, Vichian Dependence of arithmetic functions and Dirichlet series. 92i:11080 

Pap, Endre The space of the generalized Dirichlet series of several complex variables on a 
polydisc. (Serbo-Croatian summary) 92d:32006 

— On the generalized Dirichlet series of several complex variables. 92a:32002 

Rahman, Md. Muklesur (with Zaman, Saiful Islam) On order and type of entire Dirichlet 
series. 92h:30059 

Zaman, Saiful Islam see Rahman, Md. Muklesur, 92h:30059 

Zeinstra, Rein Zeros and regular growth of Laplace transforms along curves. 92m:44007 


30B60 Completeness problems, closure of a system of functions 


Gorgula, V. I. (with Nagnibida, N. I.; Nastasiev, P. P.) Some methods for studying systems 
of functions for completeness and the basis property. (Russian) 92j:30003 





401 1992 


Nagnibida, N. I. Conditions for the completeness of a system of entire functions and their 
application to Pommiez operators. (Russian) 92h:30010 

— see also Gorgula, V. 1.; et al., 92j:30003 

Nastasiev, P. P. see Gorgula, V. 1.; et al., 92j:30003 


Items with secondary classifications in 30B60 

Gaisin, A.M. Strong incompleteness of a system of exponentials and a problem of 
Macintyre. (Russian) 92k:30045 

Gutknecht, Martin H. The rational interpolation problem revisited. 92j:41027 

Urbanik, Kazimierz Analytic stochastic processes. II. 

Zheng, Jia Hua (with Zhou, Han Yuan) Weighted uniform approximation of a class of 
sequences of analytic functions in infinite angular domains. (Chinese. English summary) 

Zhou, Han Yuan see Zheng, Jia Hua; et al. 


30B70 Continued fractions [see also 11A55, 40A15] 


Bodnar, D. I. Conditions for the convergence of multidimensional analogues of g-fractions. 
(Russian) (see 92a:00034) 

Gelfgren, Jan see Karlsson, Johan; et al., 92j:30004 

Gill, John Inner composition of analytic mappings on the unit disk. 92g:30004 

Hovstad, R. M. Continued fractions and irrational functions. 92f:30007 

Karlsson, Johan (with Wallin, Hans; Gelfgren, Jan) Iteration of Mébius transforms and 
continued fractions. 92j:30004 

Magnus, Arne (with McCabe, John H.) Continued fractions for g(z) satisfying g(z) = 
9((az + b)/(cz +d)). 92c:30002 

McCabe, John H. see Sri Ranga, A., 92b:30003 and Magnus, Arne, 92c:30002 

Naumov, E. A. Continued fraction expansions of analytic functions of certain membership 
classes. (Russian) 92k:30007 

Nijastad, Olav (with Waadeland, Haakon) Strongly bounded holomorphic functions and 
corresponding PC-fractions. 92a:30004 

Runckel, Hans-J. Meromorphic extension of analytic continued fractions across the line of 
nonconvergence. 92m:30006 

Shiokawa, I. (with Tamura, Jun-ichi) Padé approximations to certain power series. 
92a:30005 

Sri Ranga, A. (with McCabe, John H.) On the extensions of some classical distributions. 
92b:30003 

Tamura, Jun-ichi see Shiokawa, I., 92a:30005 

Thron, Wolfgang Joseph Order and type of entire functions arising from separately 
convergent continued fractions. 92¢:30003 

Waadeland, Haakon see Njastad, Olav, 92a:30004 

Wallin, Hans see Karlsson, Johan; et al., 92j:30004 


Items with secondary classifications in 30B70 

Achuthan, P. (with Ponnuswamy, S.) On general two-point continued fraction expansions 
and Padé tables. 92a:41011 

Gilewicz, Jacek (with Magnus, Alphonse P.) Sharp inequalities for the Padé approximant 
errors in the Stieltjes case. 92d:41034 

Gill, John The use of the sequence F,,(z) = f, o--- 0 fi(z) in computing fixed points of 
continued fractions, products, and series. 92i:65094 

— The use of repulsive fixed points to analytically continue certain functions. 92m:30004 

Gomard, Carsten K. (with Jones, Neil D.) A partial evaluator for the untyped lambda- 
calculus. 92h:68054a 

Hendriksen, Erik Associated Jacobi-Laurent polynomials. 92b:33019 

Jones, Neil D. see Gomard, Carsten K., 92h:68054a 

Lorentzen, Lisa Compositions of contractions. 92f:30035 

— Arithmetic operations with regular C-fractions. 92m:65024 

Magnus, Alphonse P. see Gilewicz, Jacek, 92d:41034 

Masson, David R. Associated Wilson polynomials. 92h:33014 

Ponnuswamy, S. see Achuthan, P., 92a:41011 


30B99 None of the above, but in this section 


Barry, P. D. (with Hurley, D. J.) On series of partial fractions. 92¢:30002 
Bruj, I. N. (with Jo6, Istvan) On Faber expansions. 92g:30005 

Hurley, D. J. see Barry, P. D., 92e:30002 

Jo6, Istvén see Bruj, I. N., 92g:30005 


Items with secondary classifications in 30B99 


Dzhrbashyan, M. M. A survey on the theory of orthogonal systems and some open 
problems. 92a:42029 


30Cxx Geometric function theory 


30C10 Polynomials 


Al-Rashed, Abdallah M. (with Zaheer, Neyamat) A general theorem on the bounds of the 
derivative of a polynomial. (Arabic summary) 92j:30005 

Arestov, V. V. Integral inequalities for algebraic polynomials on the unit circle. (Russian) 
92m:30007 

Erémenko, A. E. Lower estimate in Littlewood’s conjecture on the mean spherical derivative 
of a polynomial and iteration theory. 92k:30008 

Gatermann, Karin (with Hoffmann, Christoph M.; Opfer, Gerhard) Explicit Faber 
polynomials on circular sectors. 92h:30011 

Hoffmann, Christoph M. see Gatermann, Karin; et al., 92h:30011 

Opfer, Gerhard see Gatermann, Karin; et al., 92h:30011 

Pekarskii, A. A. An estimate for the derivative of an algebraic polynomial. (Russian) 
92:30008 

Plesniak, Wieslaw A Cantor regular set which does not have Markov’s property. 92c:30004 

Zaheer, Neyamat see Al-Rashed, Abdallah M., 92j:30005 


30C Geometric function theory 


30C15 


Items with secondary classifications in 30C10 

Amoroso, Francesco Sur le diamétre transfini entier d’un intervalle réel. (English summary) 
(On the entire transfinite diameter of a real interval] 92j:11070 

Benke, George On the minimum modulus of trigonometric polynomials. 92f:42002 

Bruj, I. N. (with Jo6, Istvan) On Faber expansions. 92g:30005 

Clunie, J.G. Successive derivatives of analytic functions. 92f:30037 

Fischer, Bernd see Freund, Roland W., 92d:41028 

Freund, Roland W. (with Fischer, Bernd) New Bernstein type inequalities for polynomials 
on ellipses. 92d:41028 

Goddard, Bart Finite exponential series and Newman polynomials. 92m:11079 

Jo6, Istvan see Bruj, I. N., 92g:30005 

(Owa, Shigeyoshi) see Yang, Ding Gong 

Qazi, M. A. On the maximum modulus of polynomials. 92i:30002 

(Srivastava, Hari M.) see Yang, Ding Gong 

Todorov, Pavel G. On the valence of a combination of the identity and the Koebe function. 
92m:30047 

Weit, Yitzhak On a generalized asymptotic mean value property. 92j:30039 

Xie, Ming Qin A note on Faber polynomials. (Chinese. English summary) 92h:30039 

Yang, Ding Gong Comment: “Certain classes of analytic functions with varying arguments” 
[J. Math. Anal. Appl. 136 (1988), no. 1, 217-228; MR 89m:30035] by H. M. Srivastava 
and S. Owa. (Chinese) 

Zemyan, Stephen M. On a consequence of Milin’s inequality for Faber polynomials. 
92i:30017 


30C15 Zeros of polynomials, rational functions, and other 
analytic functions (e.g. zeros of functions with bounded 
Dirichlet integral) {For algebraic theory, see 12D10; for 
real methods, see 26C10.} 


Beauzamy, Bernard Polynomials with complex coefficients: size of the factors, repartition of 
the zeros. 92f:30009 

Brown, Johnny E. On the Sendov conjecture for sixth degree polynomials. 924:30004 

Dilcher, Karl Real Wronskian zeros of polynomials with nonreal zeros. 92c:30005 

— (with Stolarsky, Kenneth B.) Zeros of the Wronskian of a polynomial. 92m:30008 

Dimova, E. A. On the localization of the zeros of compositions of the form > A, z* f*)(z). 
I. (see 92d:30002) 

Egerland, W. O. Fixed points of expansive analytic mappings. (French summary) 
92i:30005 

Gong, J. see Papamichael, N.; et al., 92f:30010 

Jain, Vinay Kumar On Cauchy’s bound for zeros of a polynomial. 92g:30006 

Kasandrova, Ivanka M. see Kostova, Mariya D., 92g:30007 

Kostova, Mariya D. (with Kasandrova, Ivanka M.) On a criterion for A-sequences.- 
92g:30007 

Kumar, Sampath (with Shenoy, B. G.) On the location of the critical points of certain 
quartic polynomials. 92i:30006 

LeBlanc, Emile A probabilistic zero set condition for the Bergman space. 92a:30006 

Mhaskar, H. N. (with Saff, E. B.) The distribution of zeros of asymptotically extremal 
polynomials. 92d:30005 

Miller, Michael J. Continuous independence and the Ilieff-Sendov conjecture. 92h:30012 

Papamichael, N. (with Saff, E. B.; Gong, J.) Asymptotic behaviour of zeros of Bieberbach 
polynomials. 92f:30010 

Rassias, Themistocles M. On certain properties of polynomials and their derivative. 
92m:30009 

— Zeros of polynomials and their derivative. 92m:30010 

Saff, E. B. see Mhaskar, H. N., 92d:30005 and Papamichael, N.; et al., 92f:30010 

Shenoy, B. G. see Kumar, Sampath, 92i:30006 

Stengle, Gilbert Constraints on the angular distribution of the zeros of a polynomial of low 
complexity. 92b:30004 

Stolarsky, Kenneth B. see Dilcher, Karl, 92m:30008 

Taha, T.S. A note on a class of rational functions. 92k:30009 


Items with secondary classifications in 30C15 


Aksent'ev, L. A. (with Kazantsev, A. V.; Kinder, M. L.; Kiselev, A. V.) Classes of uniqueness 
of an exterior inverse boundary value problem. (Russian) 92j:30041 

Alfaro, Manuel (with Montaner Lavedan, Jesiis Maria) On the multiplicity of roots of 
orthogonal polynomials on the unit circle. (Spanish. English summary) (see 92g:00024) 

Alfaro, Maria Pilar (with Vigil, Luis) Some results about the location of the zeros of 
orthogonal polynomials. (see 92g:00024) 

Bank, Steven B. (with Langley, J. K.) On the zeros of the solutions of the equation w*) + 
(Re? + Q)w =0. 92a:34009 

Borogovac, M. Multiplicities of nonsimple zeros of meromorphic matrix functions of the 
class NZ*". 92i:47014 

Brauer, Fred see Hao, Dun Yuan, 92e:92021 

Cella, Otto (with Lettl, Ginter) Power series and zeroes of trinomial equations. 92m:30003 

Clunie, J. G. Successive derivatives of analytic functions. 92f:30037 

Conte, Giuseppe see Wyman, Bostwick F.; et al., 92g:93061 

Cérdova Yévenes, Antonio (with Ruscheweyh, Stephan) Subordination of polynomials. 
92i:30025 

Csordas, George (with Varga, Richard S.; Vincze, Istvan) Jensen polynomials with 
applications to the Riemann ¢-function. 92g:11087 

Djaferis, Theodore E. Simple robust stability tests for polynomials with real parameter 
uncertainty. 92d:93085 

Ershov, B. A. A stability criterion for systems of a certain type with a multivalued transfer 
function. I. (Russian. English summary) 92j:93079 

— A stability criterion for systems of a certain type with a multivalued transfer function. II. 
(Russian. English summary) 92j:93080 

Evans, Ronald J. (with Greene, John) Polynomials with nonnegative coefficients whose 
zeros have modulus one. 92d:33043 





30C15 


Friedman, Joel Random polynomials and approximate zeros of Newton’s method. 
92b:65039 

Fruchter, Gila Generalized zero sets location and absolute robust stabilization of continuous 
nonlinear control systems. 92f:93086 

— (with Srebro, Uri; Zeheb, Ezra) Conditions on the boundary of the zero set and 
application to stabilization of systems with uncertainty. 92j:93113 

Gao, Tang An see Wang, Ze Ke; et al., 92d:32005 

Greene, John see Evans, Ronald J., 92d:33043 

Hao, Dun Yuan (with Brauer, Fred) Analysis of a characteristic equation. 92e:92021 

Kazantsev, A. V. see Aksent'ev, L. A.; et al., 92j:30041 

Kinder, M.I. see Aksent’ev, L. A.; et al., 92j:30041 

Kiselev, A. V. see Aksent’ev, L. A.; et al., 92j:30041 

Langley, J.K. see Bank, Steven B., 92a:34009 

Lettl, Ginter see Cella, Otto, 92m:30003 

Meier, Hans-Giinter The relaxed Newton-iteration for rational functions: the limiting case. 
92g:58108 

Mignotte, Maurice An inequality on the greatest roots of a polynomial. 92i:12003 

Montaner Lavedan, Jestis Maria see Alfaro, Manuel, (92g:00024) 

Norfolk, Timothy S. Some observations on the Saff-Varga width conjecture. 92h:30003 

Palka, Janina On polynomial mappings having conjugate zeros. (Polish summary) 
92£:32005 

Perdon, Anna-Maria see Wyman, Bostwick F.; et al., 92g:93061 

Prather, C. L. Some generalized Pélya-Turan inequalities. 92b:33057 

Randol, Burton Some remarks on the stability of a property related to the mean value 
theorem for harmonic functions. 92c:31002 

Ruscheweyh, Stephan see Cérdova Yévenes, Antonio, 92i:30025 

Saff, E. B. Orthogonal polynomials from a complex perspective. 92m:42029 

Sain, Michael K. see Wyman, Bostwick F.; et al., 92g:93061 

Srebro, Uri see Fruchter, Gila; et al., 92j:93113 

Varga, Richard S. see Csordas, George; et al., 92g:11087 

Verheul, E.R. Elementary proofs concerning results about functions on the n-sphere. 
921:55004 

Vigil, Luis see Alfaro, Maria Pilar, (92g:00024) 

Vincze, Istvan see Csordas, George; et al., 92g:11087 

Wang, Ze Ke (with Gao, Tang An) The Hurwitz theorem for several complex variables. 
(Chinese. English summary) 924:32005 

Wyman, Bostwick F. (with Sain, Michael K.; Conte, Giuseppe; Perdon, Anna-Maria) Poles 
and zeros of matrices of rational functions. 92g:93061 

Zeheb, Ezra see Fruchter, Gila; et al., 92j:93113 


30C20 Conformal mappings of special domains 


Barletta, Elisabetta (with Landucci, Mario) Optimal L© estimates for the canonical 
solution of the CR-equation in the nonsmooth case. 92¢:30006 

Goryainov, V. V. The Loewner equation for conformal mappings of strips. 92g:30008 

Howell, Louis H. (with Trefethen, Lloyd N.) A modified Schwarz-Christoffel transforma- 
tion for elongated regions. 92j:30006 

Kimura, Hideyuki On F-data of automorphism groups of compact Riemann surfaces. The 
case of As. 92j:30007 

Landucci, Mario see Barletta, Elisabetta, 92c:30006 

Polubarinova-Kochina, P. Ya. Supplementary parameters on examples of circular quadraii- 
gles. (Russian) 

Sinév, V. A. On Kufarev’s method for determining the parameters in the Christoffel- 
Schwarz integral. (Russian) 92c:30007 

Trefethen, Lloyd N. see Howell, Louis H., 92j:30006 

Tsitskishvili, Z. A. On a representation of the Christoffel-Schwartz formula. (Russian. 
English and Georgian summaries) 

Volkov, D. B. Geometric parameters and the conformal mapping of domains bounded by 
circular quadrangles. (Russian) 92b:30005 


Items with secondary classifications in 30C20 


Emets, Yu. P. (with Obnosov, Yu. V.) An exactly solvable problem on the mutual influence 
of inclusions in the theory of heterogeneous media. (Russian) 92a:78003 

Gatermann, Karin (with Hoffmann, Christoph M.; Opfer, Gerhard) Explicit Faber 
polynomials on circular sectors. 92h:30011 

Gol'’berg, A. L. Extremal mappings of plane annuli and p-moduli. (Russian) 92j:30022 

Gong, Sheng (with Zheng, Xue An) Distortion theorem for biholomorphic mappings in 
transitive domains. I. 92j:32077 

Goodman, A. W. On uniformly starlike functions. 92i:30013 

Hoffmann, Christoph M. see Gatermann, Karin; et al., 92h:30011 

Obnosov, Yu. V. see Emets, Yu. P., 92a:78003 

Opfer, Gerhard see Gatermann, Karin; et al., 92h:30011 

Pearce, Kent A constructive method for numerically computing conformal mappings for 
gearlike domains. 92a:30007 

Rodin, Burt On a problem of A. Beardon and K. Stephenson. 92k:52038 

Zheng, Xue An see Gong, Sheng, 92j:32077 


30C25 Covering theorems in conformal mapping theory 


Inoue, Tetsuo A covering theorem about radial segments. 92h:30013 
Zhang, Xue Lian Covering theorems for analytic functions on the unit disc. (Chinese. 
English summary) 92h:30014 


Items with secondary classifications in 30C25 


Liu, Xiang Yang (with Minda, David) Distortion theorems for Bloch functions. 92k:30041 
Minda, David see Liu, Xiang Yang, 92k:30041 


FUNCTIONS OF A COMPLEX VARIABLE 


1992 402 


30C30 Numerical methods in conformal mapping theory 
[see also 65E05] 


Gaier, Dieter On the convergence of the Bieberbach polynomials in regions with corners. 
92m:30011 

Pearce, Kent A constructive method for numerically computing conformal mappings for 
gearlike domains. 92a:30007 

Volkov, E. A. Approximate conformal mapping by the block method of the exterior of a 
lattice of ellipses onto the exterior of a lattice of plates. (Russian) 92e:30003 


Items with secondary classifications in 30C30 

Gong, J. see Papamichael, N.; et al., 92f:30010 

He, Zheng-Xu An estimate for hexagonal circle packings. 92b:52039 

Howell, Louis H. (with Trefethen, Lloyd N.) A modified Schwarz-Christoffel transforma- 
tion for elongated regions. 92j:30006 

Kratz, W. (with Peyerimhoff, A.) A numerical algorithm for the Stokes problem based on 
an integral equation for the pressure via conformal mappings. 92a:65334 

Papamichael, N. (with Saff, E. B.; Gong, J.) Asymptotic behaviour of zeros of Bieberbach 
polynomials. 92f:30010 

Peyerimhoff, A. see Kratz, W., 92a:65334 

Saff, E. B. see Papamichael, N.; et al., 92f:30010 

Trefethen, Lloyd N. see Howell, Louis H., 92j:30006 

Wang, Yong! see Zheng, Zhi Qiang; et al., 92a:65084b 

Zheng, Zhi Qiang On the Schwartz-Christoffel integral. 1. 92a:65084a 

— (with Wang, Yong!) On the Schwartz-Christoffel integral. II. 92a:65084b 


30C35 General theory of conformal mappings 


Bishop, Christopher J. Conformal welding of rectifiable curves. 92¢:30008 

Brodovich, M. T. Holomorphy of an arbitrary unbounded mapping of a plane domain into 
the plane that preserves angles along a system of rays. (Russian) 92j:30008 

Garabedian, P. R. A simple proof of a simple version of the Riemann mapping theorem by 
simple functional analysis. 92j:30009 

Inoue, Tetsuo Covering of radial segments for domains bounded by k-circles. 92m:30012 

Kazantsev, A. V. The inner radius of a domain in a problem on the change of contours. 
(Russian) (see 91j:00009) 

Kuz'mina, G. V. On the extremal partitioning of the Riemann sphere. (Russian) 92k:30010 

— On the extremal partitioning of an n-connected domain. (Russian) 92k:30011 

Liu, Xiang Yang (with Minda, David) Monotonicity of hyperbolic curvature under 
univalent mappings. 92k:30012 

Miller, Sanford S. (with Mocanu, Petru T.) Classes of univalent integral operators. 
92h:30015 

Minda, David see Liu, Xiang Yang, 92k:30012 

Mocanu, Petru T. see Miller, Sanford S., 92h:30015 

@yma, Knut Harmonic measure and conformal length. 92i:30007 

Rohde, S. On conformal welding and quasicircles. 92f:30011 

Rovnyak, James A vector extension of Loewner’s differential equation. 92h:30016 

Schmieder, Gerald Ein nicht lokal-kompakter Raum konformer Automorphismen. [A non- 
locally compact space of conformal automorphisms] 92m:30013 

Stephenson, Kenneth Circle packings in the approximation of conformal mappings. 
92c:30009 


Items with secondary classifications in 30C35 


Alexander, H. Boundary behavior of certain holomorphic maps. 92¢:32031 

Bojarski, Bogdan Old and new on Beltrami equations. (see 92i:00023) 

Bruj, I. N. (with Jo6, Istvan) On Faber expansions. 92g:30005 

Danchenko, V.I. Rational components of meromorphic functions and their derivatives. 
(Russian. English summary) 92i:30028 

Gaier, Dieter On the convergence of the Bieberbach polynomials in regions with corners. 
92m:30011 

Garnett, J. B. (with Papadimitrakis, M.) Almost isometric maps of the hyperbolic plane. 
92j:30011 

Jo6, Istvan see Bruj, I. N., 92g:30005 

Katznelson, Yitzhak (with Nag, Subhashis; Sullivan, Dennis P.) On conformal welding 
homeomorphisms associated to Jordan curves. 92¢:30009 

Nag, Subhashis see Katznelson, Yitzhak; et al., 92e:30009 

Osgood, Brad (with Stowe, Dennis) A generalization of Nehari’s univalence criterion. 
92a:53015 

Papadimitrakis, M. see Garnett, J. B., 92j:30011 

Stowe, Dennis see Osgood, Brad, 92a:53015 

Sullivan, Dennis P. see Katznelson, Yitzhak; et al., 92¢e:30009 

Usov, V. V. Conformal mappings of manifolds of bounded curvature that preserve the 
curvature of sets. (Russian) 92b:53106 


30C40 Kernel functions and applications 
Rzadkowski, Grzegorz On an angle between two rings. 92a:30008 


Items with secondary classifications in 30C40 

Barletta, Elisabetta (with Landucci, Mario) Optimal L© estimates for the canonical 
solution of the CR-equation in the nonsmooth case. 92c:30006 

Hahn, Kyong T. (with Youssfi, El Hassan) Mobius invariant Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C”. 92m:47051 

Hu, Zhang Jian The BMO, and Bloch functions on two-connected planar domains. 
(Chinese. English summary) 92k:30052 

Landucci, Mario see Barletta, Elisabetta, 92c:30006 

Michel, Joachim An asymptotic formula for the Bergman projection on a certain class of 
domains in C. 92h:30071 

Seip, Kristian Reproducing formulas and double orthogonality in Bargmann and Bergman 
spaces. 92¢:44006 





403 1992 


Youssfi, El Hassan see Hahn, Kyong T., 92m:47051 
Zhu, Ke He Duality of Bloch spaces and norm convergence of Taylor series. 92h:30004 


30C45 Special classes of univalent and multivalent functions 
(starlike, convex, bounded rotation, etc.) 


Abdel-Gawad, H. R. (with Thomas, D. K.) A subclass of close-to-convex functions. 
92i:30008 

— (with Thomas, D. K.) The Fekete-Szegé problem for strongly close-to-convex functions. 
92e:30004 

Abdul Halim, S. Some Bazilevié functions of order beta. 92b:30012 

— Functions starlike with respect to other points. 92f:30015 

— (with Thomas, D. K.) A note on Bazilevit functions. 92j:30012 

Ahuja, O. P. (with Silverman, Herb) A survey on spiral-like and related function classes. 
92k:30013 

Aksent’ev, L. A. (with Zorin, I. A.) Sufficient conditions for the finite-valence of integral 
representations. (Russian) 92h:30017 

Altintas, Osman On a subclass of certain starlike functions with negative coefficients. 
92h:30018 

— see also Owa, Shigeyoshi, 92m:30025 

Anbuchelvi, V. (with Radha, S.) On generalized Pascu class of functions. 92m:30014 

Anisiu, Valeriu (with Mocanu, Petru T.) On a simple sufficient condition for starlikeness. 
92g:30009 

Aouf, M. K. p-valent spiral-like functions with fixed second coefficient. 92b:30006 

— On subclasses of starlike and convex functions with missing and negative coefficients. 
(Italian summary) 92b:30007 

— (with Owa, Shigeyoshi; Obradovié, Milutin) On a certain class of univalent functions. 
92¢:30010 

— Linear combinations of regular functions of order alpha with negative coefficients. 
92¢:30011 

— (with Owa, Shigeyoshi) On a subclass of p-valent analytic functions. 92m:30015 

— p-valent classes related to close-to-convex functions of order # and type b. 92c:30012 

— On subclasses of starlike functions of order a and type f. (Italian summary) 92e:30005 

— (with Owa, Shigeyoshi) On a class of univalent functions. 92g:30010 

— (with Nunokawa, Mamoru) On a certain class of starlike functions. 92b:30008 

— On a certain class of meromorphic univalent functions with positive coefficients. (Italian 
summary) 92k:30014 

— A generalization of multivalent functions defined by Ruscheweyh derivatives. 92h:30019 

— On subclasses of p-valent close-to-convex functions. 92m:30016 

Artémiadis, Nicolas K. Star-center points of univalent functions. 92i:30009 

Bao, Ge Jun The radius of univalence of certain analytic functions. 92¢:30013 

— (with Ling, Yi) Some notes about a class of analytic functions. 92i:30010 

— (with Ling, Yi) The radius of starlikeness and univalence of a class of analytic functions. 
(Chinese. English summary) 

— (with Ling, Yi) A new subclass of analytic functions. (Chinese. English summary) 

— (with Ling, Yi; Luo, Sheng Zheng) Some properties of certain analytic functions. 

— see also Ling, Yi; et al., 92g:30016; Shao, Ji Qun; et al. 

Baranowicz, J. (with Walczak, S.) Necessary conditions for the existence of a solution of 
some extremal problems in the families of holomorphic functions. 92a:30009 

Barnard, Roger W. (with Schober, Glenn) Mébius transformations of starlike mappings. 
92d:30006 

Bogucki, Zbigniew Le probleme de la courbure dans une famille de fonctions analytiques et 
localement univalentes. (Russian and Polish summaries) [The problem of curvature in a 
family of analytic locally univalent functions] 92f:30012 

Bulboaca, Teodor Mean-value integral operators for analytic functions. 

Chaudhary, A. M. see Shukla, S. L.; et al., 92a:30015 

Ch’én, Ming Po (with Owa, Shigeyoshi) A property of certain analytic functions involving 
Ruscheweyh derivatives. 92¢:30014 

— (with Lee, Sang Keun; Owa, Shigeyoshi) A remark on certain regular functions. 
92i:30011 

Chen, Yue Qing An improvement on estimate of do/d* for starlike functions. 92g:30011 

Cho, Nak Eun On certain class of meromorphic functions with positive coefficients. 
92b:30009 

— Meromorphic univalent functions with positive and fixed second coefficients. 92m:30017 

— see also Nunokawa, Mamoru; et al., 92k:30022 and Owa, Shigeyoshi; et al., 92m:30027 

Chonweerayoot, A. (with Thomas, D. K.; Upakarnitikaset, W.) On the coefficients of close- 
to-convex functions. 92j:30010 

Dernek, Ahmet Some notes on meromorphic functions. (Turkish summary) 92c:30015 

Dimkov, Georgi M. (with Starkov, V. V.) On a generalization of close-to-convex functions. 
(Russian) 92h:30020 

— (with Stankiewicz, Jan; Stankiewicz, Zofia) On a class of starlike functions defined in a 
halfplane. 92k:30015 

Ding, Shu Sen see Ling, Yi; et al., 92a:3001 land 92g:30016 

Dixit, Lalit see Shukla, S. L.; et al., 92m:30031 

Dong, Xin Han Differences of moduli of adjacent coefficients of close-to-convex functions. 
(Chinese. English summary) 92b:30010 

— The asymptotic property of derivatives of mean p-valent functions. (Chinese. English 
summary) 92h:30021 

El-Ashwah, Rabha Md. (with Thomas, D. K.) Some coefficient, length, area results for a 
subclass of Bazilevit functions. 92a:30010 

Elzarief, A.M. see Nasr, M. A. 

Fekete, Otto On some univalent integral operators. 92m:30018 

Fournier, Richard The range of a continuous linear functional over a class of functions 
defined by subordination. 92g:30012 

— (with Ruscheweyh, Stephan) Remarks on a multiplier conjecture for univalent functions. 
92k:30016 

Fukui, Seiichi A note on certain subordinations. 92b:30011 

— (with Obradovié, Milutin; Owa, Shigeyoshi; Sakaguchi, Koichi) Two criteria for 
starlikeness. 92f:30013 





30C Geometric function theory 


30C45 


— see also Owa, Shigeyoshi; et al., 92f:30019 and Obradovic¢, Milutin; et al., 92g:30018 

Furuto, David M. see Owa, Shigeyoshi; et al., 92h:30027 

Garnett, J. B. (with Papadimitrakis, M.) Almost isometric maps of the hyperbolic plane. 
92j:30011 

Godula, Janusz (with Starkov, V. V.) On the Jakubowski’s functional in a linearly invariant 
family. (Russian and Polish summaries) 92h:30022 

Goel, R. M. (with Mehrok, Beant Singh) On the order of starlikeness of a subclass of a- 
convex functions. 92g:30013 

— (with Mehrok, Beant Singh) A coefficient inequality for certain classes of analytic 
functions. 92m:30019 

Goluzina, E.G. Sets of values of two systems of functionals on a class of functions 
connected with the Carathéodory class. (Russian) 92f:30014 

Gong, Gui Fu A class of close-to-convex functions. (Chinese summary) 92i:30012 

Goodman, A. W. On uniformly starlike functions. 92i:30013 

Iliev, Lyubomir G. Problems in the theory of univalent functions. (see 92d:00037) 

Iovanov, Miodrag The annulus of a-convexity for univalent functions. 

Jakubowski, Zbigniew Jerzy On some classes of analytic functions. (see 92d:30002) 

— (with Skalska, Krystyna) On typically-real functions meromorphic in the unit disc. 
(Polish summary) 

— (with Stankiewicz, Jan) On some classes of functions with the special normalizations. 
(Russian and Polish summaries) 92g:30014 

Jayamala, M. see Padmanabhan, K. S., 92h:30028 

Jiang, Run Rong A new proof of distortion theorem and univalence of the class s(a, n). 
92¢:30016 

Joshi, S. B. see Kulkarni, Shripad Rajaram; et al. 

Juneja, O. P. see Kapoor, G. P.; et al., 92m:30020 

Kanas, Stanislawa (with Lecko, Adam) On the Fekete-Szeg6é problem and the d in of 
convexity for a certain class of univalent functions. (Russian and Polish summaries) 
92g:30015 

Kapoor, G. P. (with Juneja, O. P.; Patel, Jagannath) Analytic functions with some univalent 
Gel'fond-Leont’ev derivatives. 92m:30020 

Kasi, M.S. The fourth coefficient of alpha-spiral-convex functions. 

Koepf, Wolfram On the interplay between geometrical and analytical properties of functions 
of bounded boundary rotation. 92j:30013 

Komatu, Yaésaku On distortion properties of operators defined on analytic functions. (see 
92d:30002) 

— Distortion on the range of analytic functions referred to an operator. 92k:30017 

Kulkarni, Shripad Rajaram (with Naik, U.H.) Regions of starlikeness and convexity for 
some holomorphic functions. 92f:30016 

— (with Joshi, S. B.; Naik, U. H.) On some classes of starlike and close-to-convex functions. 

Kuznetsov, V.O. Typically real functions with singularities on the real axis. (Russian) 
92b:30013 

Kwon, Ohsang see Nunokawa, Mamoru; et al., 92k:30022 

Lecko, Adam see Kanas, Stanisiawa, 92g:30015 

Lee, Sang Hun (with Owa, Shigeyoshi) Certain classes of univalent functions with the 
second coefficient. 92k:30018 

Lee, Sang Keun (with Owa, Shigeyoshi) A remark on certain analytic functions. 92k:30019 

— see also Ch’én, Ming Po; et al., 92i:30011 and Owa, Shigeyoshi; et al., 92m:30027 

Libera, Richard J. (with Zlotkiewicz, Eligiusz J.) Léwner’s inverse coefficients theorem for 
starlike functions. 92k:30020 

Ling, Yi (with Ding, Shu Sen) A new criterion for univalent functions. 92a:30011 

— (with Bao, Ge Jun; Ding, Shu Sen) A remark on the conjecture of S. Owa. 92g:30016 

— (with Ding, Shu Sen; Bao, Ge Jun) A certain class of univalent functions with negative 
coefficients. (Chinese. English summary) 

— (with Luo, Sheng Zheng) On a subclass of starlike functions of order a. (Chinese 
summary) 92h:30023 

— see also Bao, Ge Jun; et al., 92i:30010 

Liu, Li Quan The rotation theorems for typically real functions. (Chinese summary) 
92i:30014 

Luo, Sheng Zheng see Ling, Yi; et al., 92h:30023 and Bao, Ge Jun; et al. 

Mehrok, Beant Singh see Goel, R. M., 92g:30013 and 92m:30019 

Milin, V. 1. On an estimate for neighboring coefficients of odd univalent functions. 
(Russian) 92¢:30006 

Mocanu, Petru T. On an integral inequality for certain analytic functions. 92h:30024 

— see also Anisiu, Valeriu, 92g:30009 

Mogra, M. L. Hadamard product of certain meromorphic univalent functions. 92h:30025 

Moldoveanu, Silvia (with Ovesea, Horiana; Pascu, Nicolae N.) On the univalence of an 
integral operator. (see 92h:30001) 

Naik, U. H. see Kulkarni, Shripad Rajaram, 92:30016 

Nasr, M. A. (with Elzarief, A.M.) a-convex functions in one direction of order (£). 

Nishimoto, Katsuyuki see Owa, Shigeyoshi; et al., 92m:30027 

Noor, Khalida Inayat On certain classes of analytic functions. 92f:30017 

— On radii of convexity and starlikeness of some classes of analytic functions. 92m:30021 

— On some radii of univalence and convexity problems for certain analytic functions. 
92j:30014 

— On some applications of the Ruscheweyh derivatives. 92m:30022 

— On alpha-quasi-convex functions. 92m:30023 

Nunokawa, Mamoru On the multivalent functions starlike and convex of order a. 
92d:30007 

— (with Owa, Shigeyoshi; Saitoh, Hitoshi) On a-Bazilevit functions of type 8. 92f:30018 

— (with Owa, Shigeyoshi) On certain p-valent functions involving bounded boundary 
rotation. 92b:30014 

— (with Owa, Shigeyoshi) Sufficient conditions for certain multivalent functions. 
92g:30017 

— (with Owa, Shigeyoshi; Saitoh, Hitoshi; Ohtake, Koichiro) An improvement of sufficient 
conditions for starlike functions. 92b:30015 

— On certain multivalently starlike functions. 92b:30016 

— On starlikeness of Libera transformation. 92k:30021 

— On certain multivalent functions. 92b:30017 

— (with Kwon, Ohsang; Cho, Nak Eun) On the multivalent functions. 92k:30022 








30C45 


— see also Aouf, M. K., 92b:30008 and Owa, Shigeyoshi; et al., 92m:30026 

Obradovié, Milutin (with Owa, Shigeyoshi) On some criteria for starlikeness and spirallike- 
ness. 92a:30012 

— (with Owa, Shigeyoshi) An application of differential subordinations. 92m:30024 

— (with Owa, Shigeyoshi) The Ruscheweyh’s derivative and some criteria for univalence in 
the unit disc. (Italian summary) 92k:30023 

— (with Fukui, Seiichi; Sekine, Tadayuki) On a-convexity and starlikeness. (Serbo-Croatian 
summary) 92g:30018 

— A note on starlikeness of certain integrals. (Serbo-Croatian summary) 92j:30015 

— see also Aouf, M. K.; et al., 92c:30010; Owa, Shigeyoshi, 92c:30017 and Fukui, Seiichi; et 
al., 92f:30013 

Ogawa, Shotaro see Owa, Shigeyoshi; et al., 92f:30019 

Ohtake, Koichiro see Nunokawa, Mamoru; et al., 92b:30015 

Ovesea, Horiana see Moldoveanu, Silvia; et al., (92h:30001) 

Owa, Shigeyoshi (with Ogawa, Shotaro; Fukui, Seiichi; Sakaguchi, KGichi) Notes on /- 
spiral functions of order a. 92f:30019 

— Notes on p-valently a-convex functions. 92a:30013 

— Close-to-convexity of univalent functions. 92a:30014 

— (with Obradovié, Milutin) A remark on certain univalent functions. 92c:30017 

— (with Altintas, Osman) On a certain generalization class of analytic functions with 
negative coefficients. 92m:30025 

— (with Nunokawa, Mamoru; Saitoh, Hitoshi) Notes on certain multivalent functions. 
92m:30026 

— On p-valently close-to-convex and starlike functions. 92k:30024 

— (with Srivastava, Hari M.) An application of a certain fractional derivative operator. 
92h:30026 

— Starlikeness of a certain integral. 92c:30018 

— Notes on p-valently Bazilevi¢ functions. 92f:30020 

— (with Nishimoto, Katsuyuki; Lee, Sang Keun; Cho, Nak Eun) A note or certain fractional 
operator. 92m:30027 

— Certain sufficient conditions for starlikeness and convexity of order a. 92g:30019 

— (with Saigo, Megumi; Furuto, David M.) On a certain fractional operator. 92h:30027 

— Certain integral operators. 

— see also Obradovi¢, Milutin, 92a:30012; Shukla, S. L.; et al., 92a:30015; Nunokawa, 
Mamoru, 92b:30014; 92b:30015; Aouf, M. K.; et al., 92c:30010; Ch’én, Ming Po, 92c:30014; 
Fukui, Seiichi; et al., 92:30013; Nunokawa, Mamoru; et al., 92f:30018; Aouf, M. K., 
92g:30010; Nunokawa, Mamoru, 92g:30017; Ch’én, Ming Po; et al., 92i:30011; Lee, Sang 
Hun, 92k:30018; Lee, Sang Keun, 92k:30019; Obradovi¢, Milutin, 92k:30023; Aouf, M. 
K., 92m:30015; Obradovi¢, Milutin, 92m:30024; Sekine, Tadayuki, 92m:30030; Srivastava, 
Hari M., 92m:30032 and Yang, Ding Gong 

Padmanabhan, K.S. (with Jayamala, M.) A class of analytic functions defined by 
Ruscheweyh derivative. 92h:30028 

Papadimitrakis, M. see Garnett, J. B., 92j:30011 

Parvatham, R. (with Radha, S.) On a Ruscheweyh type generalization of the Pascu class of 
analytic functions. (see 92d:30002) . 

Pascu, Nicolae N. On a subclass of Bazilevit functions. (see 92h:30001) 

— An integral representation of a subclass of Bazilevit functions. (see 92h:30001) 

— see also Moldoveanu, Silvia; et al., (92h:30001) 

Pashkuleva, Donka Zh. On the radius of spiral-convexity of a subclass of spiral-like 
functions. (see 92d:30002) 

— On the radius of alpha-starlikeness for starlike functions of order beta and fixed second 
coefficient. 92j:30016 

— A note on a certain subclass of analytic functions. 

— A note on a certain subclass of analytic functions. (Russian and Polish summaries) 
92g:30020 

Patel, Jagannath (with Prasad, D.) Coefficient estimates for bounded starlike functions of 
complex order with N-symmetric points. 92m:30028 

— see also Kapoor, G. P.; et al., 92m:30020 

Patil, H.S. see Uralegaddi, B. A., 92i:30016 

Peng, Wei Dong A note on a class of functions introduced by Salagean. (Chinese. English 
summary) 

Peretz, Ronen Some properties of extremal functions for Krzyz problem. 924:30008 

Petrila, Titus Some mathematical aspects about the complex calculus in closed contour 
determining. 92b:30018 

Polatoglu, Yasar The radius of a-convexity for the class starlike functions of complex order. 
(Turkish summary) 92b:30019 

Prasad, D. see Patel, Jagannath, 92m:30028 

Radha, S. see Anbuchelvi, V.,92m:30014 and Parvatham, R., (92d:30002) 

Reade, M. O. (with Silverman, Herb) Radii problems for linear properties of univalent 
functions. 92j:30017 

Renning, Frode Convolution properties of a certain two parameter family of analytic 
functions. (see 92d:30002) 

Ruscheweyh, Stephan see Fournier, Richard, 92k:30016 

Saigo, Megumi see Owa, Shigeyoshi; et al., 92h:30027 

Saitoh, Hitoshi On certain multivalent functions. 92m:30029 

— Some properties of certain multivalent functions. 92g:30021 

— see also Nunokawa, Mamoru; et al., 92b:30015; 92f:30018 and Owa, Shigeyoshi; et al., 
92m:30026 

Sakaguchi, Koichi see Fukui, Seiichi; et al., 92f:30013 and Owa, Shigeyoshi; et al., 92f:30019 

Schober, Glenn see Barnard, Roger W., 92d:30006 

Sekine, Tadayuki On generalized class of analytic functions with negative coefficients. 
92b:30020 

— (with Owa, Shigeyoshi) A note on multivalent functions. 92m:30030 

— see also Obradovi¢, Milutin; et al., 92g:30018 

Shao, Ji Qun (with Bao, Ge Jun) A class of analytic functions defined by using the 
Hadamard product. (Chinese. English summary) 

— (with Bao, Ge Jun) A remark on the fractional operators. 

Shukla, S. L. (with Chaudhary, A. M.; Owa, Shigeyoshi) On a new criterion for univalent 
functions with negative coefficients. 92a:30015 

— (with Verma, B. M.; Dixit, Lalit) p-valent Bazilevit integral operators. 92m:30031 


FUNCTIONS OF A COMPLEX VARIABLE 


1992 404 


Silverman, Herb (with Silvia, E.M.) Subclasses of univalent functions starlike with respect 
to a boundary point. 92b:30021 

— see also Reade, M. O., 92j:30017 and Ahuja, O. P., 92k:30013 

Silvia, E. M. see Silverman, Herb, 92b:30021 

Singh, Sukhjit? Some sufficient conditions for univalence. 92f:30021 

Skalska, Krystyna see Jakubowski, Zbigniew Jerzy 

Sladkowska, Janina Sur une famille de fonctions univalentes et bornées. [On a family of 
bounded univalent functions] 92b:30022 

Soké6i, Janusz Some remarks on the class of functions starlike with respect to symmetric 
points. (Russian and Polish summaries) 92e:30007 

Solynin, A. Yu. Sets of pairs of values that cannot be taken by univalent functions. (Russian) 
92i:30015 

Somanatha, C. see Uralegaddi, B. A., 92j:30018 and 92j:30019 

Srinivas, V. On certain classes of analytic functions with fixed second coefficient. 92k:30025 

Srivastava, Hari M. (with Owa, Shigeyoshi) Certain subclasses of starlike functions. I, II. 
92m:30032 

— see also Owa, Shigeyoshi, 92h:30026 and Yang, Ding Gong 

Stankiewicz, Jan (with Stankiewicz, Zofia) On some classes of functions regular in a 
halfplane. II. (Russian and Polish summaries) 92h:30029 

— see also Jakubowski, Zbigniew Jerzy, 92g:30014 and Dimkov, Georgi M.; et al., 92k:30015 

Stankiewicz, Zofia Some remarks on the classes R(A, B). (Russian and Polish summaries) 
92h:30030 

— see also Stankiewicz, Jan, 92h:30029 and Dimkov, Georgi M.; et al., 92k:30015 

Starkov, V. V. see Dimkov, Georgi M., 92h:30020 and Godula, Janusz, 92h:30022 

Thomas, D. K. An inequality for analytic functions. 92d:30009 

— The Fekete-Szegé problem for strongly close-to-convex functions. 92f:30022 

— see also El-Ashwah, Rabha Md., 92a:30010; Abdel-Gawad, H. R., 92e:30004; 92i:30008; 
Chonweerayoot, A.; et al., 92j:30010 and Abdul Halim, S., 92j:30012 

Todorov, Pavel G. On the radius of convexity of order a of the totally monotonic functions. 
92b:30023 

Upakarnitikaset, W. see Chonweerayoot, A.; et al., 92j:30010 

Uralegaddi, B. A. (with Patil, H. S.) New subclasses of meromorphic convex functions. 
92i:30016 

— (with Somanatha, C.) New criteria for meromorphic starlike univalent functions. 
92j:30018 

— (with Somanatha, C.) Certain differential operators for meromorphic functions. 
92j:30019 

Verma, B. M. see Shukla, S. L.; et al., 92m:30031 

Walczak, S. see Baranowicz, J., 92a:30009 

Wang, Guan Min Some coefficient estimates for the family of functions 2’~! and a 
conjecture. (Chinese. English summary) 

Waniurski, J. On the Bloch-Landau constant for Mobius transforms of convex mappings. 
(Polish summary) 92f:30023 

Wesolowski, Andrzej On the univalence of certain integrals of meromorphic functions. 
(Serbo-Croatian summary) 92h:30031 

Wulan, Hasi see Yan, Li; et al. 

Yan, Li (with Wulan, Hasi) Neighborhoods of two classes of special analytic functions. 
(Chinese. English summary) 

Yang, Ding Gong Comment: “Certain classes of analytic functions with varying arguments” 
[J. Math. Anal. Appl. 136 (1988), no. 1, 217-228; MR 89m:30035] by H. M. Srivastava 
and S. Owa. (Chinese) 

— Some subclasses of close-to-convex functions. (Chinese. English summary) 92j:30020 

Zemyan, Stephen M. On a consequence of Milin’s inequality for Faber polynomials. 
92i:30017 

Zhao, Ye Xi A class of analytic functions related to a-prestarlike functions. (Chinese. 
English summary) 

Zhotkiewicz, Eligiusz J. see Libera, Richard J., 92k:30020 

Zorin, I. A. see Aksent'ev, L. A., 92h:30017 


Items with secondary classifications in 30C45 

Aksent’ev, L. A. (with Kazantsev, A. V.; Kinder, M. I.; Kiselev, A. V.) Classes of uniqueness 
of an exterior inverse boundary value problem. (Russian) 92j:30041 

Antonino, José A. (with Romaguera, Salvador) Analytic and univalent solutions of Briot- 
Bouquet differential equations. 92d:34010 

Aouf, M. K. On a new criterion for univalent functions of order alpha. (Italian summary) 
92h:30035 

Betker, Th. Léwner chains and Hardy spaces. 92g:30022 

Bogowski, Franciszek (with Bucka, Czestawa) On distribution of the critical points of the 
function belonging to some class of the typically-real functions. (Russian and Polish 
summaries) 92h:30045 

Bucka, Czeslawa see Bogowski, Franciszek, 92h:30045 

Chen, Hong Bin Integral means of a subordinate function family. (Chinese) 92i:30024 

Duren, P. L. (with Schiffer, M. M.) Sharpened forms of the Grunsky inequalities. 
92b:30024 

Goodman, A. W. Old and new problems in geometric function theory. 92m:30035 

Jakubowski, Zbigniew Jerzy (with Zyskowska, Krystyna) A few remarks on bounded 
univalent functions. 92h:30033 

Kazantsev, A. V. see Aksent'ev, L. A.; et al., 92j:30041 

Kinder, M.I. see Aksent’ev, L. A.; et al., 92j:30041 

Kiselev, A. V. see Aksent'ev, L. A.; et al., 92j:30041 

Miazga, J. (with Wesolowski, Andrzej) An extension of a sufficient condition for |p|- 
valence of analytic functions. (Polish summary) 92f:30027 

Moldoveanu, Silvia (with Pascu, Nicolae N.) On the univalence of an integral. II. (Roma- 
nian summary) 92k:30028 

Pascu, Nicolae N. see Moldoveanu, Silvia, 92k:30028 

Pearce, Kent A constructive method for numerically computing conformal mappings for 
gearlike domains. 92a:30007 

Ponnusamy, S. First order differential inequalities in the complex plane. (see 92m:30002) 

Poreda, Tadeusz On generalized differential equations in Banach spaces. 92i:34079 





405 1992 


Reade, M. O. (with Silverman, Herb) On the minimum of Re[f(z)/z] for univalent 

functions. 92j:30025 
Salvador see Antonino, José A., 92d:34010 

Samaris, N. The extreme points of a class of functions with positive real part. 92j:32003 

Schiffer, M. M. see Duren, P. L., 92b:30024 

Silverman, Herb see Reade, M. O., 92j:30025 

Tkaczytiska, Katarzyna Extreme points of classes of analytic functions with positive real 
part and restricted second coefficient. 92c:30025 

Tochowicz, Kajetan The classes of univalent functions connected with homographies. 
92m:30045 

Todorov, Pavel G. On the valence of a combination of the identity and the Koebe function. 
92m:30047 

Wesolowski, Andrzej On a certain extension of Epstein’s univalence criterion. (Polish 
summary) 92£:30028 

— see also Miazga, J., 92£:30027 

Yang, Guo Wei Subordination preserving integral operator. (Chinese summary) 92a:30025 

Zyskowska, Krystyna see Jakubowski, Zbigniew Jerzy, 92h:30033 


30C50 Coefficient problems for univalent and multivalent 
functions 


Duren, P. L. (with Schiffer, M. M.) Sharpened forms of the Grunsky inequalities. 
92b:30024 


Elhosh, M. M. On polynomial expansion of multivalent functions. 92i:30018 

Gelca, Razvan On Schur’s algorithm for holomorphic functions on Riemann surfaces. 
92h:30032 

Jakubowski, Zbigniew Jerzy (with Zyskowska, Krystyna) A few remarks on bounded 
univalent functions. 92h:30033 

Prokhorov, D. V. Sets of values of systems of functionals in classes of univalent functions. 
(Russian) 92f:30024 

Schiffer, M. M. see Duren, P. L., 92b:30024 

Steutel, F.W. Counterexamples to Robertson’s conjecture. 92h:30034 

Szwankowski, Andrzej Addenda to my work: “Estimation of the functional |a; — aa}| in the 
class S of holomorphic and univalent functions for a complex” [Acta Univ. Lodz. Folia 
Math. No. | (1984), 151-177; MR 87j:30036]. (Polish summary) 92f:30025 

Todorov, Pavel G. On the coefficients of the powers of the univalent functions of the class S. 
92k:30026 

Weinstein, Lenard The Bieberbach conjecture. 92m:30033 

Zyskowska, Krystyna see Jakubowski, Zbigniew Jerzy, 92h:30033 


Items with secondary classifications in 30C50 

Aouf, M. K. (with Owa, Shigeyoshi; Obradovié, Milutin) On a certain class of univalent 
functions. 92¢:30010 

Cho, Nak Eun Meromorphic univalent functions with positive and fixed second coefficients. 
92m:30017 

Deiermann, Paul A coefficient problem for univalent functions with quasiconformal 
extensions. 92m:30044 

Duren, P. L. (with Schiffer, M. M.) Univalent functions which map onto regions of given 
transfinite diameter. 92d:30013 

Fukui, Seiichi see Ren, Fu Yao; et al., 92e:30013 

Goel, R. M. (with Mehrok, Beant Singh) A coefficient inequality for certain classes of 
analytic functions. 92m:30019 

Goodman, A. W. Old and new problems in geometric function theory. 92m:30035 

Gotoh, Yasuhiro On the composition of functions of bounded mean oscillation with 
multivalent analytic functions. 92¢:30028 

Jayamala, M. see Padmanabhan, K. S., 92h:30028 

Koepf, Wolfram On the interplay between geometrical and analytical properties of functions 
of bounded boundary rotation. 92j:30013 

Kuznetsov, V.O. Typically real functions with singularities on the real axis. (Russian) 
92b:30013 

Lewandowski, Zdzislaw (with Starkov, V. V.) On meromorphic and univalent functions 
yielding local maxima of two coefficients. (Russian and Polish summaries) 92h:30046 

Mehrok, Beant Singh see Goel, R. M., 92m:30019 

Milin, I. M. Some applications of theorems on logarithmic coefficients. (Russian) 
92j:30021 

Obradovi¢, Milutin see Aouf, M. K.; et al., 92c:30010 

Owa, Shigeyoshi see Aouf, M. K.; et al., 92c:30010; Ren, Fu Yao; et al., 92e:30013 and Yang, 


Ding Gong 

Padmanabhan, K.S. (with Jayamala, M.) A class of analytic functions defined by 
Ruscheweyh derivative. 92h:30028 

Peretz, Ronen Some properties of extremal functions for Krzyz problem. 924:30008 

Ren, Fu Yao (with Owa, Shigeyoshi; Fukui, Seiichi) Some inequalities on quasi-subordinate 
functions. 92e:30013 

Schiffer, M. M. see Duren, P. L., 92d:30013 

Siejka, Henryka Some extremal problems in the class of holomorphic univalent functions. 
(Polish summary) 92h:30047 

(Srivastava, Hari M.) see Yang, Ding Gong 

Starkov, V. V. see Lewandowski, Zdzislaw, 92h:30046 

Thomas, D. K. The Fekete-Szegé problem for strongly close-to-convex functions. 92f:30022 

Wang, Guan Min Some coefficient estimates for the family of functions £’~' and a 
conjecture. (Chinese. English summary) 

Yang, Ding Gong Comment: “Certain classes of analytic functions with varying arguments” 
[J. Math. Anal. Appl. 136 (1988), no. 1, 217-228; MR 89m:30035] by H. M. Srivastava 
and S. Owa. (Chinese) 

Zemyan, Stephen M. On a consequence of Milin’s inequality for Faber polynomials. 
92i:30017 


30C55 General theory of univalent and multivalent functions 
Aouf, M. K. On a new criterion for univalent functions of order alpha. (Italian summary) 


30C Geometric function theory 


92h:30035 

Betker, Th. Loéwner chains and Hardy spaces. 92g:30022 

Blezu, Dorin (with Pascu, Nicolae N.) A generalization of the univalence criteria of Becker 
and of Nehari. 

Brannan, David Alexander Some covering properties of locally univalent functions. 
92m:30034 

Cazacu, Eleonora (with Moldoveanu, Silvia; Pascu, Nicolae N.) On the univalence of an 
integral. II. (Romanian summary) (see 90a:30003) 

Dong, Xin Han On the Loewner differential equations. (Chinese. English summary) 
92b:30025 

Draghici, Eugen An univalence criteria for a class of integral operators. (see 92h:30001) 

Fekete, Otte The Hardy class of certain functions defined by Ruscheweyh derivatives. (see 
92h:30001) 

Fuka, J. (with Jakubowski, Zbigniew Jerzy) On certain subclasses of bounded univalent 
functions. 92k:30027 

Goel, R. M. Differential inequalities and local valency. (see 92m:30002) 

Goodman, A. W. Old and new problems in geometric function theory. 92m:30035 

Hoshino, Shinichi see Nunokawa, Mamoru, 92g:30023 

Huber, Alfred Conformal welding and logarithmic potential. 

Jakubowski, Zbigniew Jerzy see Fuka, J., 92k:30027 

Khavinson, S. Ya. see Kirjackis, Edward G., 92f:30026 

Khokhlov, Yu. E. Convolution operators preserving univalent functions. 92h:30036 

Kirjackis, Edward G. (with Khavinson, S. Ya.) Compactness of families of univalent 
functions that are defined by the intersection of two hyperplanes. (Russian. English and 
Lithuanian summaries) 92f:30026 

Ma, Jin Xi see Zhang, Yu Lin, 92m:30038 

Miazga, J. (with Wesolowski, Andrzej) An extension of a sufficient condition for |p|- 
valence of analytic functions. (Polish summary) 92f:30027 

Milin, I. M. Some applications of theorems on logarithmic coefficients. (Russian) 
92j:30021 

Moldoveanu, Silvia (with Pascu, Nicolae N.) On the univalence of an integral. III. 
(Romanian summary) (see 90a:30003) 

— (with Pascu, Nicolae N.) A new generalization of Becker’s univalence criterion. I. 
92¢:30019 

— (with Pascu, Nicolae N.) On the univalence of an integral. II. (Romanian summary) 
92k:30028 

— (with Pascu, Nicolae N.) A sufficient condition for univalence. (Romanian summary) (see 
92h:30001) 

— see also Cazacu, Eleonora; et al., (90a:30003) 

Nikitin, S. V. Estimation of integral means of univalent functions. (Russian) 92k:30029 

Nunokawa, Mamoru (with Hoshino, Shinichi) One criterion for multivalent functions. 
92g:30023 

Ovesea, Horiana (with Pascu, Mihai N.; Pascu, Radu N.) On a sufficient condition for 
univalence. (see 92h:30001) 

— (with Pascu, Nicolae N.; Radomir, Irinel) On the univalence of Nasr’s function. (see 
92h:30001) 

Pascu, Mihai N. see Ovesea, Horiana; et al., (92h:30001) 

Pascu, Nicolae N. (with Pescar, Virgil) A generalization of Pfaltzgraff’s theorem. (see 
92h:30001) 

— (with Pescar, Virgil) An integral operator which preserves the univalency. (see 
92h:30001) 

— see also Moldoveann, Silvia, 92c:30019; 92k:30028; Blezu, Dorin; Cazacu, Eleonora; et al., 
(90a:30003); Moldoveanu, Silvia, (90a:30003); (92h:30001) and Ovesea, Horiana; et al., 
(92h:30001) 

Pascu, Radu N. see Ovesea, Horiana; et al., (92h:30001) 

Pescar, Virgil A new generalization of Ahifors’s and Becker’s criterion of univalence. (see 
92h:30001) 

— Ona univalence criterion. (see 92h:30001) 

— On the univalence of an integral operator outside the unit disk. (see 92h:30001) 

— see also Pascu, Nicolae N., (92h:30001) and (92h:30001) 

Radomir, Irinel On a univalence condition. (see 92h:30001) 

— see also Ovesea, Horiana; et al., (92h:30001) 

Starkov, V. V. Directions of intensive growth of locally univalent functions. (see 92d:30002) 

Todorov, Pavel G. Maximal domains of univalence of the full elliptic integrals of the first 
and the second kind considered as analytic functions of the complex modulus. 92h:30037 

— On the modulus of the nth derivative of the univalent functions of the class S. 92a:30016 

Wesolowski, Andrzej On a certain extension of Epstein’s univalence criterion. (Polish 
summary) 92f:30028 

— On the univalence of a certain integral. (Russian and Polish summaries) 92h:30038 

— On certain univalence criteria. 92k:30030 

— see also Miazga, J., 92£:30027 

Xie, Ming Qin A note on Faber polynomials. (Chinese. English summary) 92h:30039 

Yamashita, Shinji Univalent functions and Dirichlet integral. 92m:30036 

— La dérivée d’une fonction univalente dans un domaine hyperbolique. (English summary) 
[The derivative of a function univalent in a hyperbolic domain] 92m:30037 

Zhang, Yu Lin (with Ma, Jin Xi) A note on support points with maximum radial angle. 
92m:30038 


Items with secondary classifications in 30C55 

Aksent'ev, L. A. (with Zorin, I. A.) Sufficient conditions for the finite-valence of integral 
representations. (Russian) 92h:30017 

Elhosh, M. M. On polynomial expansion of multivalent functions. 92i:30018 

Juneja, O. P. see Kapoor, G. P.; et al., 92m:30020 

Kapoor, G. P. (with Juneja, O. P.; Patel, Jagannath) Analytic functions with some univalent 
Gel/fond-Leont’ev derivatives. 92m:30020 

Meier, Hans-Ginter The relaxed Newton-iteration for rational functions: the limiting case. 
92g:58108 

Moldoveanu, Silvia (with Ovesea, Horiana; Pascu, Nicolae N.) On the univalence of an 
integral operator. (see 92h:30001) 

Nestoridis, V. Estimates of intervals for univalent functions. (see 92d:30002) 





30C55 


Ovesea, Horiana see Moldoveanu, Silvia; et al., (92h:30001) 

Pascu, Nicolae N. see Moldoveanu, Silvia; et al., (92h:30001) 

Patel, Jagannath see Kapoor, G. P.; et al., 92m:30020 

Prokhorov, D. V. Sets of values of systems of functionals in classes of univalent functions. 
(Russian) 92f:30024 

Sheremeta, M. N. Entire functions with derivatives that are univalent in the disk. (Russian. 
Ukrainian summary) 92m:30053 

Zemyan, Stephen M. On a consequence of Milin’s inequality for Faber polynomials. 
92i:30017 

Zorin, I. A. see Aksent'ev, L. A., 92h:30017 


30C62 Quasiconformal mappings in the plane 


Akhmedov, Saidamir Akhmedovich On the existence and uniqueness of a linear quasicon- 
formal mapping of a plane into itself using a derivative in the normalization. (Russian. 
Uzbek summary) 92i:30019 

Anderson, James Milne The Grunsky inequalities. 92g:30024 

Astala, Kari (with Zinsmeister, Michel) Teichmiiller spaces and BMOA. 92k:30031 

Bracalova, Melkana A. On the asymptotic representation of some quasiconformal 
mappings. (see 92d:30002) 

Chen, Ji Xiu Extremal problems for quasiconformal homeomorphisms. (Chinese) 
92k:30032 

David, Guy René (with Martin, Gaven J.; Semmes, Stephen) Médiatrice de deux arcs de 
quasicercle. [Right bisector of two arcs of a quasicircle] 92¢e:30008 

Dikshit, H. P. Certain interpolating quasiconformal piecewise defined complex mappings in 
the plane. 92a:30017 

Gol’berg, A. L. Extremal mappings of plane annuli and p-moduli. (Russian) 92j:30022 

Hamilton, D. H. Generalized conformal welding. 92k:30033 

Huang, Wéa Ta Quasi-isometric extension of infinite Jordan curves. 92k:30034 

Iwaniec, Tadeusz (with Martin, Gaven J.) Quasiconformal mappings and capacity. 
92h:30040 

Katznelson, Yitzhak (with Nag, Subhashis; Sullivan, Dennis P.) On conformal welding 
homeomorphisms associated to Jordan curves. 92e:30009 

Krzyz, Jan G. Quasisymmetric functions and harmonic analysis. (see 90m:00035) 

Kud’yavin, V.S. On the geometry of plane topological mappings with generalized first 
derivatives. (Russian) 92h:30041 

— Local structure of plane mappings that are quasiconformal in the mean. (Russian. English 
summary) 92j:30023 

Kurta, V. V. On the Jenkins inequality for the pairs of univalent mappings with quasiconfor- 
mal extension. 92g:30025 

Li, Kai Long Some covering theorems for quasiconformal mappings. (Chinese) 

Mamaturdiev, T. M. On the existence of a quasilinear quasiconformal mapping onto a star 
domain. (Russian) 

Martin, Gaven J. see David, Guy René; et al., 92e:30008 and Iwaniec, Tadeusz, 92h:30040 

Nag, Subhashis see Katznelson, Yitzhak; et al., 92e:30009 

Nolder, Craig A. A quasiregular analogue of a theorem of Hardy and Littlewood. 92g:30026 

Qiu, Song Liang An extremal problem for plane quasiconformal mappings. (Chinese. 
English summary) 92f:30029 

Ryazanov, V.I. On necessary and sufficient condition for convergence of complex 
dilatations. 92g:30027 

— On the accuracy of some convergence theorems. (Russian) 92c:30020 

— Aclosure theorem for quasiconformal mappings with integral constraints. (Russian) 
92£:30030 

— Closure of classes of quasiconformal mappings with integral constraints. (Russian. 
Ukrainian summary) 92m:30039 

Samsoniya, Z. V. Continuity of a mapping. (Russian) 

Semmes, Stephen see David, Guy René; et al., 92e:30008 

Stanciu, Victoria Growth of entire quasiregular mappings. 

Sullivan, Dennis P. see Katznelson, Yitzhak; et al., 92e:30009 

Tukia, Pekka Hausdorff dimension and quasisymmetric mappings. 92b:30026 

Vasil’ev, A. Yu. Quasi-invariance of the modulus of homotopy classes of curves, and the 
Teichmiiller problem. (Russian. Ukrainian summary) 92h:30042 

Yanagihara, Hiroshi? Variational formula of inverse of quasiconformal mappings. 
92m:30040 

Zinsmeister, Michel see Astala, Kari, 92k:30031 


Items with secondary classifications in 30C62 


Betker, Th. Lowner chains and Hardy spaces. 92g:30022 

Bishop, Christopher J. Conformal welding of rectifiable curves. 92¢:30008 

Deiermann, Paul A coefficient problem for univalent functions with quasiconformal 
extensions. 92m:30044 

Guo, Han Ying (with Shen, Jian Min; Wang, Shi Kun; Xu, Kai Wen) Beltrami algebra and 
symmetry of the Beltrami equation on Riemann surfaces. 92a:32023 

He, Zheng-Xu An estimate for hexagonal circle packings. 92b:52039 

Levin, Genadii Mironovich On Pommerenke’s inequality for the eigenvalues of fixed points. 
92h:30053 

Ohtake, Hiromi Partially conformal qc mappings and the universal Teichmiiller space. 
92d:30031 

Rodin, Burt On a problem of A. Beardon and K. Stephenson. 92k:52038 

Shen, Jian Min see Guo, Han Ying; et al., 92a:32023 

Wang, Shi Kun see Guo, Han Ying; et al., 92a:32023 

Xu, Kai Wen see Guo, Han Ying; et al., 92a:32023 


30C65 Quasiconformal mappings in R", other generalizations 

Aebischer, Beat The limiting behavior of sequences of quasiconformal mappings. 
92d:30010 

Aseev, V. V. Topological embeddings that preserve moduli. (Russian) (see 92d:00011) 

— Extremal mappings of dihedral wedges. (Russian) 92e:30010 


FUNCTIONS OF A COMPLEX VARIABLE 


1992 406 


Astala, Kari (with Zinsmeister, Michel) Mostow rigidity and Fuchsian groups. (French 
summary) 92¢:30021 

Borchuk, S. M. (with Kruglikov, V. I.) Converging sequences of a mapping with distortion 
that is bounded in the mean. (Russian. English summary) 92a:30018 

Caraman, Petru Boundary behaviour of quasiconformal mappings. (French summary) 
92h:30043 

Chernov, Yu. K. Some boundary properties of homeomorphisms. (Russian) (see 92d:00011) 

Jarvi, Pentti On the behavior of quasiregular mappings in the neighborhood of an isolated 
singularity. 92c:30022 

— (with Vuorinen, Matti) Self-similar Cantor sets and quasiregular mappings. 92m:30041 

Kopylov, A. P. * Ycrottunsocts B C-Hopme kylaccos oTo6paxenul. (Russian) [Stability in 
the C-norm of classes of mappings] 92h:30044 

Koskela, Pekka (with Martio,O.) Removability theorems for quasiregular mappings. 
92i:30020 

Kruglikov, V. I. Capacities and mappings quasiconformal in the mean. (see 92m:31001) 

— see also Borchuk, S. M., 92a:30018 

Ma, Jian Guo Extension of n-dimensional quasiconformal mappings and the n-dimensional 
Grétzsch problem. (Chinese. English summary) 92m:30042 

Martio, O. see Koskela, Pekka, 92i:30020 

Mattila, P. (with Vuorinen, Matti) Linear approximation property, Minkowski dimension, 
and quasiconformal spheres. 92e:30011 

McKemie, M. Jean Discrete quasiconformal groups with small dilatation. 92a:30019 

Nakki, Raimo (with Vaisala, Jussi) John disks. 92i:30021 

Pantyukhina, M. N. Asymptotics of the quasiconformality coefficient and the boundary 
behavior of the mapping of a ball. (Russian) 92j:30024 

Partanen, Juha Invariance theorems for the bi-Lipschitz and quasisymmetric extension 
properties. 92d:30011 

Peshkichev, Yu. A. Moduli of families of two-dimensional surfaces, and quasiconformal 
mappings in four-dimensional space. (Russian) 92k:30035 

Reshetnyak, Yu. G. On stability of isometric mappings. 92k:30036 

Shlyk, V. A. NC,-sets of finite area. (Russian) 92k:30037 

Soderborg, Nathan Quasiregular mappings with finite multiplicity and Royden algebras. 
92m:30043 

Staples, Susan G. Maximal functions, A,.-measures and quasiconformal maps. 92¢:30023 

— Doubling measures and quasiconformal maps. 92k:30038 

Strugov, Yu. F. Homeomorphy of Q,-extremal mappings. (Russian) 92i:30022 

Vaisala, Jussi Free quasiconformality in Banach spaces. I. 92d:30012 

— Quasisymmetry and unions. 92a:30020 

— Bounded turning and quasiconformal maps. 92f:30031 

— see also Nikki, Raimo, 92i:30021 

Vuorinen, Matti Conformal geometry and quasiconformal maps. (see 92d:30002) 

— Quadruples and spatial quasiconformal mappings. 92a:30021 

— see also Mattila, P., 92e:30011 and Jarvi, Pentti, 92m:30041 

Wik, Ingemar Reverse Hélder inequalities with constant close to 1. 92g:30028 

Zhuraviév, I. V. Reconstruction of a mapping from a normalized Jacobian matrix. (Russian) 
92k:30039 

Zinsmeister, Michel see Astala, Kari, 92c:30021 


Items with secondary classifications in 30C65 

Aseev, V. V. (with Sultanov, B. Yu.) Moduli of families of curves on a Riemannian 
manifold. (Russian) 92h:53042 

Gol'dshtein, V.M. (with Reshetnyak, Yu. G.) * Quasiconformal mappings and Sobolev 
spaces. 92h:46040 

Heinonen, Juha Quasiconformal mappings onto John domains. 92k:30001 

Herron, David A. (with Koskela, Pekka) Uniform and Sobolev extension domains. 
92¢:46065 

Hoy, Erich Zum Bernsteinschen Satz fiir Quasiminimalflachen. (English summary) [On 
Bernstein’s theorem for quasiminimal surfaces] 92k:53016 

Koranyi, Adam (with Reimann, Hans Martin) Quasiconformal mappings on CR manifolds. 
92b:32029 

(Korneeva, O. N.) see Gol‘dshtein, V. M., 92h:46040 

Koskela, Pekka see Herron, David A., 92¢:46065 

Krushkal’, S. L. Strengthening pseudoconvexity of finite-dimensional Teichmiiller spaces. 
92g:32044 

Lewis, John L. (with Vogel, Andrew) On pseudospheres. 92g:31006 

Li, Zhong Nonuniqueness of geodesics in infinite-dimensional Teichmiiller spaces. 
92¢:32024 

Reimann, Hans Martin see Koranyi, Adam, 92b:32029 

Reshetnyak, Yu. G. see Gol/dshtein, V. M., 92h:46040 

Schliinzen, Frank Induced quantum gravity and quasiconformal mappings. 92c:81191 

Shlyk, V. A. The structure of compact sets that generate normal domains and removable 
singularities for the space L}(D). (Russian) 924:46095 

Strugov, Yu. F. Semicontinuity of some functionals. (Russian) 92h:49001 

— Homeomorphism of some classes of three-dimensional p-harmonic mappings. (Russian) 
92:31011 

Sultanov, B. Yu. see Aseev, V. V., 92h:53042 

Vogel, Andrew see Lewis, John L., 92g:31006 

Zakhirov, M. A quantum mechanical interpretation of mixed quasiconformal mappings. 
(Russian) 92h:81065 


30C70 Extremal problems for conformal and quasiconformal 

mappings, variational methods 

Bakhtin, A. K. Extremal problems of the conformal mapping of multiply connected 
domains. (Russian) (see 92d:00010) 

Bogowski, Franciszek (with Bucka, Czestawa) On distribution of the critical points of the 
function belonging to some class of the typically-real functions. (Russian and Polish 
summaries) 92h:30045 

Bucka, Czestawa see Bogowski, Franciszek, 92h:30045 





407 1992 


Duren, P. L. (with Schiffer, M.M.) Univalent functions which map onto regions of given 
transfinite diameter. 92d:30013 

Hummel, J. A. Numerical solutions of the Schiffer equation. 92g:30029 

Jakubowski, Zbigniew Jerzy On some extremal problems of the theory of univalent 
functions. (see 92h:00021) 

Lewandowski, Zdzislaw (with Starkov, V. V.) On phic and univalent functions 
yielding local maxima of two coefficients. (Russian and Polish summaries) 92h:30046 

Liu, Li Quan On coefficient inequalities for meromorphic univalent functions. 92e:30012 

Reade, M. O. (with Silverman, Herb) On the minimum of Re[f(z)/z] for univalent 
functions. 92j:30025 

Schiffer, M. M. see Duren, P. L., 924:30013 

Siejka, Henryka Some extremal problems in the class of holomorphic univalent functions. 
(Polish summary) 92h:30047 

Silverman, Herb see Reade, M. O., 92j:30025 

Sladkowska, Janina Sur la famille des fonctions univalentes, bornées et symétriques 
qui n’atteignent pas une valeur fixée. [On the family of univalent bounded symmetric 
functions that do not attain a fixed value] 92c:30024 

— Sur des couples des fonctions univalentes et bornées. [On pairs of single-valued bounded 
functions] 92:30032 

Starkov, VY. V. Univalent functions that are local extrema of two real functionals. 92i:30023 

— see also Lewandowski, Zdzislaw, 92h:30046 

Yang, Wei Qi On univalent functions in multiply connected domains. 92d:30014 


Items with secondary classifications in 30C70 

Barnard, Roger W. (with Schober, Glenn) Mdbius transformations of starlike mappings. 
92d:30006 

Chen, Ji Xiu Extremal problems for quasiconformal homeomorphisms. (Chinese) 
92k:30032 

Dimkov, Georgi M. (with Starkov, V. V.) On a generalization of close-to-convex functions. 
(Russian) 92h:30020 

Godula, Janusz (with Starkov, V. V.) On the Jakubowski’s functional in a linearly invariant 
family. (Russian and Polish summaries) 92h:30022 

Li, Zhong Nonuniqueness of geodesics in infinite-dimensional Teichmiiller spaces. 
92¢:32024 

Prokhorov, D. V. Sets of values of systems of functionals in classes of univalent functions. 
(Russian) 92f:30024 

Schober, Glenn see Barnard, Roger W., 92d:30006 

Starkov, V. V. see Dimkov, Georgi M., 92h:30020 and Godula, Janusz, 92h:30022 

Taniguchi, Masahiko The behavior of the extremal length function on arbitrary Riemann 
surface. 92m:30085 

Vasil’ev, A. Yu. Quasi-invariance of the modulus of homotopy classes of curves, and the 
Teichmiiller problem. (Russian. Ukrainian summary) 92h:30042 





30C75 Extremal problems for conformal and quasiconformal 
mappings, other methods 


Deiermann, Paul A coefficient problem for univalent functions with quasiconformal 
extensions. 92m:30044 

Dong, Xin Han Integral means of derivatives of some classes of univalent functions. 
(Chinese) 92a:30022 

Fedorov, S. 1. see Vasil/ev, A. Yu., 92a:30023 

Krushkal’, S. L. The Green function of Teichmiiller spaces with applications. 92k:30040 

Liu, Xiang Yang (with Minda, David) Distortion theorems for Bloch functions. 92k:30041 

Minda, David see Liu, Xiang Yang, 92k:30041 

Tochowicz, Kajetan The classes of univalent functions connected with homographies. 
92m:30045 

Vasil’ev, A. Yu. (with Fedorov, S.1.) Application of the method of moduli in an extremal 
problem of conformal mapping. (Russian) 92a:30023 


Items with secondary classifications in 30C75 


Herold, Horst Funktionentheoretische Integralungleichung mit geometrischer Anwendung. 
[Function-theoretic integral inequality with geometric application] 92¢:30035 

Koepf, Wolfram On the interplay between geometrical and analytical properties of functions 
of bounded boundary rotation. 92j:30013 

Liu, Li Quan On coefficient inequalities for meromorphic univalent functions. 92¢:30012 

Todorov, Pavel G. On the modulus of the nth derivative of the univalent functions of the 
class S. 92a:30016 

Vasil’ev, A. Yu. Quasi-invariance of the modulus of homotopy classes of curves, and the 
Teichmiiller problem. (Russian. Ukrainian summary) 92h:30042 


30C80 Maximum principle; Schwarz’s lemma, Lindeléf principle, 
analogues and generalizations; subordination 


Chen, Hong Bin Integral means of a subordinate function family. (Chinese) 92i:30024 

Cérdova Yévenes, Antonio (with Ruscheweyh, Stephan) Subordination of polynomials. 
921:30025 

Fukui, Seiichi see Ren, Fu Yao; et al., 92e:30013 

Jakubowski, Zbigniew Jerzy (with Liczberski, Piotr; Zywien, Lucja) Applications of the 
Hadamard product in geometric function theory. (Czech summary) 92k:30042 

Liczberski, Piotr see Jakubowski, Zbigniew Jerzy; et al., 92k:30042 

Obradovi¢, Milutin see Owa, Shigeyoshi, 92a:30024 

Owa, Shigeyoshi (with Obradovi¢, Milutin) An application of differential subordinations 
and some criteria for univalency. 92a:30024 

— see also Ren, Fu Yao; et al., 92e:30013 

Ponnusamy, S. First order differential inequalities in the complex plane. (see 92m:30002) 

Ren, Fu Yao (with Owa, Shigeyoshi; Fukui, Seiichi) Some inequalities on quasi-subordinate 
functions. 92e:30013 

Ruscheweyh, Stephan see Cérdova Yévenes, Antonio, 92i:30025 

Selinger, Valeria Differential inequalities for ®-like functions. (Romanian. English 
summary) (see 92h:30001) 


30D Entire and meromorphic functions, and related topics 


30Dxx 


Tkaczytiska, Katarzyna Extreme points of classes of analytic functions with positive real 
part and restricted second coefficient. 92¢:30025 

Yang, Guo Wei Subordination preserving integral operator. (Chinese summary) 92a:30025 

Zderkiewicz, Jézef On the solution of the equation f(z) = pe“ F(z) for subordinate 
functions and its application. 924:30015 

Zou, Zhong Zhu Some classes of differential subordinations and their applications. (Chinese 
summary) 92h:30048 

Zywieti, Lucja see Jakubowski, Zbigniew Jerzy; et al., 92k:30042 


Items with secondary classifications in 30C80 

Fournier, Richard The range of a continuous linear functional over a class of functions 
defined by subordination. 92g:30012 

Goel, R. M. (with Mehrok, Beant Singh) A coefficient inequality for certain classes of 
analytic functions. 92m:30019 

Koepf, Wolfram On the interplay between geometrical and analytical properties of functions 
of bounded boundary rotation. 92j:30013 

Krantz, Steven G. *% Complex analysis: the geometric viewpoint. 92a:30026 

Liu, Xiang Yang (with Minda, David) Distortion theorems for Bloch functions. 92k:30041 

Mehrok, Beant Singh see Goel, R. M., 92m:30019 

Minda, David see Liu, Xiang Yang, 92k:30041 

Samotij, Krzysztof A remark on boundedness of Bloch functions. 92m:30065 


30C85 Capacity and harmonic measure in the complex plane 
[see also 31A15] 


Bishop, Christopher J. (with Jones, Peter Wilcox) Harmonic measure and arclength. 
92¢:30026 

Jones, Peter Wilcox see Bishop, Christopher J., 92c:30026 

Levitskii, B. E. Reduced p-modulus and the interior p-harmonic radius. (Russian) 
92h:30049 

Lyons, Terry A synthetic proof of Makarov’s law of the iterated logarithm. 92b:30027 

Mityuk, I. P. Condensers and covering theorems. (see 92d:30002) 

Murai, Takafumi Analytic capacity for arcs. (see 92m:00054) 

— Analytic capacity for two segments. 92g:30030 


Items with secondary classifications in 30C85 

Amoroso, Francesco Sur le diamétre transfini entier d’un intervalle réel. (English summary) 
[On the entire transfinite diameter of a real interval] 92j:11070 

Duren, P. L. (with Schiffer, M. M.) Univalent functions which map onto regions of given 
transfinite diameter. 92d:30013 

Jones, Peter Wilcox The traveling salesman problem and harmonic analysis. 92c:42013 

Kruglikov, V. I. Capacities and mappings quasiconformal in the mean. (see 92m:31001) 

Schiffer, M. M. see Duren, P. L., 92d:30013 

Strugov, Yu. F. On the continuity of p-capacity. (Russian) 92g:31008 

Tkachev, V.G. Some estimates for the mean curvature of graphs over domains in R". 
(Russian) 92i:31004 

Wagner, Gerold On the maximal modulus of polynomials on Cantor sets. 92j:11081 

Wu, Jang-Mei Boundary density and the Green function. 92g:31009 

Yamada, Akira Ahlfors functions on Denjoy domains. 92k:30053 


30C99 None of the above, but in this section 


Jenkins, James A. On analytic paths. 92m:30046 

Jiang, Chuan Zhang (with Yu, Bao Hua) Estimation of the arguments of P-symmetric 
canonical functions of real shine. (Chinese. English summary) 

Kasandrova, Ivanka M. see Kostova, Mariya D., (92d:30002) 

Kostova, Mariya D. (with Kasandrova, Ivanka M.) Multiplier sequences. (see 92d:30002) 

Krantz, Steven G. *& Complex analysis: the geometric viewpoint. 92a:30026 

Oleinik, V.L. (with Vuorinen, Matti) Embedding theorems for Bergman spaces in 
quasiconformal balls. 92h:30050 

Pommerenke, Ch. On boundary size and conformal mapping. 92b:30028 

Singh, L. P. see Sohi, N.S. 

Sohi, N.S. (with Singh, L. P.) On a class of analytic functions involving fractional calculus. 

Todorov, Pavel G. On the valence of a combination of the identity and the Koebe function. 
92m:30047 

Vuorinen, Matti see Oleinik, V. L., 92h:30050 

Yu, Bao Hua see Jiang, Chuan Zhang; et al. 


Items with secondary classifications in 30C99 

Antman, Stuart S. see Lanza de Cristoforis, Massimo, 92d:73041 

Bear, H.S. Part metric and hyperbolic metric. 92k:51029 

Hurri-Syrjanen, Ritva The weighted Poincaré inequalities. 92f:46039 

Lanza de Cristoforis, Massimo (with Antman, Stuart S.) The large deformation of 
nonlinearly elastic tubes in two-dimensional flows. 924:73041 

Luukkainen, Jouni Bi-Lipschitz concordance implies bi-Lipschitz isotopy. 92a:57024 

Lyzzaik, Abdallah On the valence of some classes of harmonic maps. 92f:31001 

Marden, Al (with Rodin, Burt) On Thurston’s formulation and proof of Andreev’s 
theorem. 92b:52040 

Rodin, Burt see Marden, Al, 92b:52040 

Saff, E. B. (with Totik, Vilmos) What parts of a measure’s support attract zeros of the 
corresponding orthogonal polynomials? 92c:42026 

Totik, Vilmos see Saff, E. B., 92c:42026 

Yamashita, Shinji Local minima of the Gauss curvature of a minimal surface. 92h:53013 


30Dxx Entire and meromorphic functions, and related 
topics 





30D05 


30D05 Functional equations in the complex domain, iteration and 
composition of analytic functions [see also 34A20, 39-XX, 
58F05, 58F23] 


Beardon, Alan F. Symmetries of Julia sets. 92:30033 

— * Iteration of rational functions. 92j:30026 

Bergweiler, Walter Periodic points of entire functions: proof of a conjecture of Baker. 
92m:30048 

— On the existence of fixpoints of composite meromorphic functions. 92f:30034 

Bessis, Daniel Orthogonal polynomials, Padé approximations and Julia sets. 92h:30051 

Bogatyi, S. A. Local indices of iterations of a holomorphic mapping. (Russian) 92e:30014 

Erémenko, A. E. On the iteration of entire functions. 92c:30027 

— (with Sodin, M. L.) Iterations of rational functions and the distribution of the values of 
Poincaré functions. (Russian) 924:30016 

Frappier, Clément Iterations of a kind of exponentials. 

Gélinas, Sylvie (with Vaillancourt, Rémi) Application of Julia-Fatou iteration theory in 
dielectric spectroscopy. 92a:30027 

Goryainov, V. V. Fractional iterates of functions that are analytic in the unit disk with given 
fixed points. (Russian) 92m:30049 

Gotoh, Yasuhiro On the composition of functions of bounded mean oscillation with 
multivalent analytic functions. 92¢:30028 

Grabarnik, G. Ya. (with Shvarts, L. A.) Rational endomorphisms of a Riemann sphere that 
have a finite number of contacts. (Russian) 

Gross, Fred (with Osgood, Charles F.) An extension of a theorem of Steinmetz. 92h:30052 

Grzegorcezyk, P. (with Przytycki, Feliks; Szlenk, W.) On iterations of Misiurewicz’s rational 
maps on the Riemann sphere. 92d:30017 

Lahiri, B. K. (with Lahiri, Indrajit) Fix-points of entire and meromorphic functions. 
92k:30043 

Lahiri, Indrajit see Lahiri, B. K., 92k:30043 

Levin, Genadii Mironovich Symmetries on Julia sets. (Russian) 92¢:30015 

— Bases of functions, generated by polynomial iterations. (Russian) 92a:30028 

— On Pommerenke’s inequality for the eigenvalues of fixed points. 92h:30053 

Liao, Liang Wen Fixed points of composite entire functions. (Chinese. English summary) 
92k:30044 

Lorentzen, Lisa Compositions of contractions. 92f:30035 

Makienko, P.M. Some results on theory of iterations. 92a:30029 

— Herman rings in the theory of iterations of endomorphisms of C*. (Russian) 92m:30050 

Osgood, Charles F. see Gross, Fred, 92h:30052 

Przytycki, Feliks see Grzegorczyk, P.; et al., 92d:30017 

Qiao, Jian Yong Primality of entire functions and their derivatives. (Chinese. English 
summary) 92h:30054 

Shvarts, L. A. see Grabarnik, G. Ya. 

Sodin, M. L. see Erémenko, A. E., 924:30016 

Szlenk, W. see Grzegorczyk, P.; et al., 92d:30017 

Vaillancourt, Rémi see Gélinas, Sylvie, 92a:30027 


Items with secondary classifications in 30D05 

Abate, Marco * Iteration theory of holomorphic maps on taut manifolds. 92i:32032 

Alzer, Horst A note on a functional inequality. 92m:39021 

Baker, I. N. (with Kotus, Janina; Lii, Yi Nian) Iterates of meromorphic functions. II. 
Examples of wandering domains. 92m:58114 

— (with Kotus, Janina; Lii, Yi Nian) Iterates of meromorphic functions. I. 92m:58113 

— (with Kotus, Janina; Li, Yi Nian) Iterates of meromorphic functions. III. Preperiodic 
domains. 92m:58115 

Barnsley, Michael F. (with Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz- 
Otto; Saupe, Dietmar; Voss, Richard F.) * The science of fractal images. 92a:68145 

Beardon, Alan F. The components of a Julia set. 92h:58166 

Bessis, Daniel (with Mantica, Giorgio) Construction of multifractal in dy: 
systems from their invariance properties. 92¢:58060 

Blanchard, Paul R. (with Chiu, Amy) Complex dynamics: an informal discussion. (see 
92:58002) 

— (with Devaney, Robert L.; Keen, Linda) The dynamics of complex polynomials and 
automorphisms of the shift. 92f:58150 

Bryuno, A. D. On small divisors. 92k:58243 

Campbell, Edward A. (with Gregson, Robert A. M.) Julia sets for the gamma recursion in 
nonlinear psychophysics. 92c:92039 

Chiu, Amy see Blanchard, Paul R., (92f:58002) 

Choczewski, Bogdan see Kuczma, Marek; et al., 92f:39002 

Denker, Manfred (with Urbanski, Mariusz) Absolutely continuous invariant measures for 
expansive rational maps with rationally indifferent periodic points. 92k:58154 

Devaney, Robert L. Dynamics of entire maps. 92e:58175 

— Dynamics of entire maps. (see 92m:58036) 

— (with Durkin, Marilyn B.) The exploding exponential and other chaotic bursts in complex 
dynamics. 92a:58113 

— e*: dynamics and bifurcations. 92e:58176 

— see also Barnsley, Michael F.; et al., 92a:68145 and Blanchard, Paul R.; et al., 92f:58150 

Dong, Xiaoying Iteration of a composition of exponential functions. 92c:58057 

Durkin, Marilyn B. see Devaney, Robert L., 92a:58113 

Ecalle, Jean P. The acceleration operators and their applications to differential equa- 
tions, quasianalytic functions, and the constructive proof of Dulac’s conjecture. (see 
92m:00054) 

(Fisher, Yuval) see Barnsley, Michael F.; et al., 92a:68145 

Friedland, Shmuel Entropy of polynomial and rational maps. 92¢:58115 

Ger, Roman see Kuczma, Marek; et al., 92f:39002 

Gill, John The use of the sequence F,,(z) = f, o--- 0 f,(z) in computing fixed points of 
continued fractions, products, and series. 92i:65094 

— Inner composition of analytic mappings on the unit disk. 92g:30004 

Goryainov, V. V. Semigroups of analytic functions, and branching processes. (Russian) 
92m:60077 

Gregson, Robert A. M. see Campbell, Edward A., 92c:92039 





FUNCTIONS OF A COMPLEX VARIABLE 


Haruki, Hiroshi A new Pythagorean functional equation. 92¢:39018 

Hinkkanen, A. (with Rossi, John) Schwarzian derivatives and zeros of solutions to second 
order linear differential equations. 92b:34046 

Howland, James L. (with Thompson, Alan; Vaillancourt, Rémi) On the dynamics of a 
meromorphic function. 92¢:58177 

Jarnicki, Marek (with Tworzewski, Piotr) A note on holomorphic mappings with two fixed 
points. 92b:30054 

Keen, Linda Dynamics of quadratic polynomials. 

— see also Blanchard, Paul R.; et al., 92£:58150 

Kotus, Janina Iterated holomorphic maps on the punctured plane. 92i:58152 

— see also Baker, I. N.; et al., 92m:58113; 92m:58114 and 92m:58115 

Kuczma, Marek (with Choczewski, Bogdan; Ger, Roman) * Iterative functional equations. 
92:39002 

Kuznetsov, N. K. On the solution of the functional equation ‘¥(w + 1) = G(w) - [¥(w)P. 
(Russian) 92m:39016 

Lei, Tan Similarity between the Mandelbrot set and Julia sets. 92k:58228 

Li, Kin Y. Inequalities for fixed points of holomorphic functions. 92h:30002 

Li, Yi Nian Iterations of meromorphic functions. 92m:58116 

— see also Baker, I. N.; et al., 92m:58113; 92m:58114 and 92m:58115 

Magnus, Arne (with McCabe, John H.) Continued fractions for g(z) satisfying g(z) = 
g((az + b)/(cz +d)). 92¢:30002 

Mandelbrot, Benoit B. see Barnsley, Michael F.; et al., 92a:68145 

Maiié, Ricardo (with da Rocha, L. F.) Julia sets are uniformly perfect. 92k:58229 

Mantica, Giorgio see Bessis, Daniel, 92c:58060 

Marmi, Stefano Diophantine conditions and estimates for the Siegel radius: analytical and 
numerical results. 92k:58230 

— Critical functions for complex analytic maps. 92b:58199 

McCabe, John H. see Magnus, Arne, 92c:30002 

(McGuire, Michael) see Barnsley, Michael F.; et al., 92a:68145 

Nishizawa, Kiyoko (with Ohba, Sachio) Dynamics and fractal aspects of exponential 
functions. (Japanese. English summary) 92b:58200 

Ohba, Sachio see Nishizawa, Kiyoko, 92b:58200 

Peitgen, Heinz-Otto see Barnsley, Michael F.; et al., 92a:68145 

Petek, Peter (with Vitek, Andrej) Iteration of complex quadratic functions. (Slovenian. 
English summary) 92b:58201 

Przytycki, Feliks Remarks on the simple connectedness of basins of sinks for iterations of 
rational maps. 92¢:58180 , 

— (with Skrzypczak, Jan) Convergence and pre-images of limit points for coding trees for 
iterations of holomorphic maps. 92k:58231 

Reich, Ludwig Iteration of automorphisms of formal power series rings and of complete 
local rings. 92a:13018 

da Rocha, L. F. see Maiié, Ricardo, 92k:58229 

Rossi, John see Hinkkanen, A., 92b:34046 

Saupe, Dietmar see Barnsley, Michael F.; et al., 92a:68145 

Schwaiger, Jens Phantom roots and phantom iterates for formal power series in one 
variable. 92a:13019 

Skrzypczak, Jan see Przytycki, Feliks, 92k:58231 

Sodin, M. L. (with Yuditskii, P.M.) The limit-periodic finite-difference operator on /?(Z) 
associated with iterations of quadratic polynomials. 92e:58122 

Song, Guo Dong’ On factorization representation on meromorphic functions. 92f:30043 

Thompson, Alan see Howland, James L.; et al., 92e:58177 

Tworzewski, Piotr see Jarnicki, Marek, 92b:30054 

Urbatiski, Mariusz see Denker, Manfred, 92k:58154 

Vaillancourt, Rémi see Howland, James L.; et al., 92e:58177 

Vitek, Andrej see Petek, Peter, 92b:58201 

Voss, Richard F. see Barnsley, Michael F.; et al., 92a:68145 

Walker, Peter L. On the solutions of an abelian functional equation. 92¢:39026 

Yuditskii, P.M. see Sodin, M. L., 92e:58122 

Zheng, Jian Hua Nonexistence of admissible solution of the function equation 
Dha0 aK e = 1. 920:39021 


30D10 Representations of entire functions by series and integrals 


Abanin, A. V. Distribution of exponents of representing systems of generalized exponen- 
tials. (Russian) 92g:30031 

Abul-Ez, M. A. (with Sayyed, K. A.) On sets of polynomials associated with entire 
functions. 92h:30055 

Galimov, I. S. Representation of entire functions of infinite order by series of the form 
TP amf (Az). (Russian) (see 92f:00019) 

Golightly, George O. Coefficients in sine series expansions of special entire functions. II. 
92b:30029 

Higgins, J. R. Sampling theorems and the contour integral method. 92m:30051 

Kozitskii, Yu. V. Laguerre entire functions: preservation of membership, differential 
operators and integral representations. (Russian) 92c:30029 

Lutsenko, V.I. (with Yulmukhametov, R. S.) Generalization of the Paley-Wiener theorem 
on weighted spaces. (Russian) 92b:30030 

te Riele, H. J. J. A new lower bound for the de Bruijn-Newman constant. 92c:30030 

Sayyed, K. A. see Abul-Ez, M. A., 92h:30055 

Vagarshakyan, A. A. Generalizations of theorems of N. Wiener and R. Paley. (Russian. 
English and Armenian summaries) 92f:30036 

Yulmukhametov, R. S. see Lutsenko, V. I., 92b:30030 


Items with secondary classifications in 30D10 

Adepoju, J. A. On a result of Whittaker for several complex variables in hyperspheres. 
92a:32001 

Dickson, Douglas G. Factoring Fourier transforms. 92k:46069 

Juneja, O. P. see Srivastava, G. S., 92h:30008 

Korobeinik, Yu. F. Nontrivial expansions of zero in absolutely representing systems. 
Applications to convolution operators. (Russian) 92m:34024 

Liu, Yong Ping On the trigonometric interpolation and the entire interpolation. 92i:42003 





409 1992 


Luatsenko, V.I. The Paley-Wiener theorem on an unbounded interval. (Russian) (see 
92:00019) 

Priestley, W. M. Complex sequences whose “moments” all vanish. 92m:40003 

Ray, Brajakishore On the maximum term of the derivatives of entire functions in several 
complex variables represented by multiple power series. 92e:32002 

Srivastava, G.S. (with Juneja, O. P.) On the maximum term and central index of Dirichlet 
series representing analytic function in a half plane. 92h:30008 

Thron, Wolfgang Joseph Order and type of entire functions arising from separately 
convergent continued fractions. 92c:30003 

Wa, Min Growth of stochastic Dirichlet series on horizontal straight lines. (Chinese) 
92h:30009 


30D15 Special classes of entire functions and growth estimates 


Chernykh, N. M. Complete regularity of the growth of Newton series. (Russian. English and 
Armenian summaries) 92g:30032 

Clunie, J.G. Successive derivatives of analytic functions. 92f:30037 

Driver, K. A. Entire functions associated with e, where Q is of slower than polynomial 
growth. 92h:30056 

Frappier, Clément Representation formulas for integrable and entire functions of exponen- 
tial type. II. 92j:30027 

Gaisin, A.M. Strong incompleteness of a system of exponentials and a problem of 
Macintyre. (Russian) 92k:30045 

Gramain, Francois Equations aux différences et polynémes exponentiels. (English summary) 
[Difference equations and exponential polynomials] 92h:30057 

Guadalupe Hernandez, José Javier see Hernandez Verén, Miguel A., (92g:00024) 

Gubreev, G.M. Dzhrbashyan-type integral transforms, and interpolation by entire functions 
of finite order. (Russian) 92f:30038 

Hayman, Walter K. Growth lemmas in function theory. 92h:30058 

Hernandez Verén, Miguel A. (with Guadalupe Hernandez, José Javier) Infinite products of 
Cardano type. (Spanish) (see 92g:00024) 

Kuzyk, A. D. (with Sheremeta, M. N.) Entire functions that satisfy linear differential 
equations. (Russian) 92b:30031 

Mera, Ruben On the growth of analytic functions. 92b:30032 

Rahman, Md. Muklesur (with Zaman, Saiful Islam) On order and type of entire Dirichlet 
series. 92h:30059 

Rani, Sunita (with Srivastava, G. S.) On the geometric means of analytic functions. 
92i:30026 

— see also Srivastava, G. S., 92¢:30031 

Rizvi, M. I. see Srivastava, S. N., 92b:30033 

Sheremeta, M. N. see Kuzyk, A. D., 92b:30031 

Srivastava, G.S. (with Rani, Sunita) On the proximate order of analytic functions having 
slow rate of growth in the unit disc. 92c:30031 

— see also Rani, Sunita, 92i:30026 

Srivastava, S. N. (with Rizvi, M. I.) On the geometric mean and the zeros of an integral 
function. (Turkish summary) 92b:30033 

Vinnitskii, B. V. Equivalence of some conditions for entire functions of order zero. 
(Russian) 92k:30046 

Vishnyakova, A.M. The growth of entire ridge functions with constraints on the arguments 
of zeros. (Russian. Ukrainian summary) 92m:30052 

Yoshino, Kunio Some theorems for holomorphic functions with proximate order | + 
log(logr)/logr. 92f:30039 

Zaman, Saiful Islam see Rahman, Md. Muklesur, 92h:30059 


Items with secondary classifications in 30D15 

Abul-Ez, M. A. (with Sayyed, K. A.) On sets of polynomials associated with entire 
functions. 92h:30055 

Bézivin, Jean-Paul Sur les points ot une fonction analytique prend des valeurs entiéres. 
(English summary) [On the points where an analytic function takes integer values] 
92£:11100 

— Fonctions entiéres prenant des valeurs entiéres ainsi que ses dérivées sur des suites 
récurrentes binaires. (English summary) [Entire functions and their derivatives taking 
integer values on binary recurrent sequences] 92f:11099 

— Sur les fonctions entiéres arithmétiques au sens d’Abel. (English summary) [On entire 
arithmetic functions in the sense of Abel] 92m:11072 

Brauer, Fred see Hao, Dun Yuan, 92e:92021 

Csordas, George (with Varga, Richard S.; Vincze, Istvan) Jensen polynomials with 
applications to the Riemann ¢-function. 92g:11087 

Dickson, Douglas G. Factoring Fourier transforms. 92k:46069 

Erémenko, A. E. Lower estimate in Littlewood’s conjecture on the mean spherical derivative 
of a polynomial and iteration theory. 92k:30008 

— A counterexample to the Arakelyan conjecture. 92k:30049 

Hao, Dun Yuan (with Brauer, Fred) Analysis of a characteristic equation. 92e:92021 

Juneja, O. P. see Srivastava, G. S., 92h:30008 

Kozitskii, Yu. V. Laguerre entire functions: preservation of membership, differential 
operators and integral representations. (Russian) 92c:30029 

Lahiri, Indrajit Generalised order of meromorphic functions. 92k:30048 

McCoy, Peter A. Solutions of the Helmholtz equation having rapid growth. 92m:35054 

Norfolk, Timothy S. Some observations on the Saff-Varga width conjecture. 92h:30003 

Qazi, M. A. On the maximum modulus of polynomials. 92i:30002 

te Riele, H. J. J. A new lower bound for the de Bruijn-Newman constant. 92c:30030 

Sayyed, K. A. see Abul-Ez, M. A., 92h:30055 

Shapovalovskii, A. V. see Vinnitskii, B. V., 92a:30002 

Srivastava, G.S. (with Juneja, O. P.) On the maximum term and central index of Dirichlet 
series representing analytic function in a half plane. 92h:30008 

Totik, Vilmos Derivatives of entire functions of higher order. 92c:41014 

Varga, Richard S. see Csordas, George; et al., 92g:11087 

Vincze, Istvan see Csordas, George; et al., 92g:11087 

Vinnitskii, B. V. (with Shapovalovskii, A. V.) The behavior on the real axis of entire 
functions represented by Dirichlet series with complex exponents. (Russian. Ukrainian 


30D Entire and meromorphic functions, and related topics 


30D30 


summary) 92a:30002 
Zeinstra, Rein Zeros and regular growth of Laplace transforms along curves. 92m:44007 


30D20 Entire functions, general theory 


Camera, G. A. Integral and subharmonic functions bounded outside thin sets. 92f:30040 

Chen, Chuan Feng Asymptotic paths of entire functions with gaps in their power series. 
(Chinese. English summary) 

Chen, Te Wei The maximality Borel directions of algebroid functions. (Chinese. English 
summary) 

Earl, J. P. (with Hayman, Walter K.) Smooth majorants for functions of arbitrarily rapid 
growth. 92b:30034 

Gao, Shi An (with Zeng, Fu Xiang) Two applications of the “small arcs” lemma of Fuchs. 
(Chinese. English summary) 

Hayman, Walter K. see Earl, J. P., 92b:30034 

Kristiansen, Gundorph K. Characterization of real entire functions by means of their 
stationary values. 92f:30041 

Lin, Yu Kun An extension of the deficiency relation. (Chinese. English summary) 
92h:30060 

Pan, Biao A gap theorem for entire functions. (Chinese. English summary) 

Shcherba, A. I. The set on which an entire function is bounded below. (Russian) 92i:30027 

Sheremeta, M. N. Entire functions with derivatives that are univalent in the disk. (Russian. 
Ukrainian summary) 92m:30053 

Sreenivasulu, V. On the ratio of the maximum term and the maximum modulus of the sum 
of two entire functions. 92m:30054 

Trembinska, A. M. Cartwright’s theorem for harmonic functions. 92k:30047 

Zeng, Fu Xiang see Gao, Shi An; et al. 

Zhan, Xiao Ping? see Zhou, De Shan; et al. 

Zhou, De Shan (with Zhan, Xiao Ping”) Entire functions with asymptotic functions. 
(Chinese. English summary) 


Items with secondary classifications in 30D20 


Al-Hussaini, A. N. Liouville’s theorem by Brownian motion. 92h:60117 

Aljarrah, Radwan (with Al-Khaled, Kamel) Lagrange interpolation and entire functions. 
92m:41006 

Al-Khaled, Kamel see Aljarrah, Radwan, 92m:41006 

Bank, Steven B. (with Langley, J. K.) Oscillation theory for higher order linear differential 
equations with entire coefficients. 92g:34003 

Clunie, J.G. Successive derivatives of analytic functions. 92f:30037 

Dickson, Douglas G. Factoring Fourier transforms. 92k:46069 

Emel’yanov, S. V. (with Zhivoglyadov, P. V.; Korovin, S. K.; Nikitin, S. V.) Criteria for the 
stability of a convex polyhedron of entire functions. (Russian) 92d:93086 

Gao, Shi An Two theorems on the complex oscillation theory of nonhomogeneous linear 
differential equations. 92j:34006 

Gorbachevskii, A. E. see Mokhon’ko, V. D., 92j:34010 

Huang, Cun Zhi Real zeros of solutions of second order linear differential equations. 
92b:34013 

Jarvi, Pentti (with Vuorinen, Matti) Self-similar Cantor sets and quasiregular mappings. 
92m:30041 

Juneja, O. P. see Kapoor, G. P.; et al., 92m:30020 

Kapoor, G. P. (with Juneja, O. P.; Patel, Jagannath) Analytic functions with some univalent 
Gel'fond-Leont’ev derivatives. 92m:30020 

Khabibullin, B. N. Balayage for a system of rays and entire functions of completely regular 
growth. (Russian) 92i:31001 

Korovin, S. K. see Emel’yanov, S. V.; et al., 92d:93086 

Kuzyk, A. D. (with Sheremeta, M. N.) Entire functions that satisfy linear differential 
equations. (Russian) 92b:30031 

Lahiri, Indrajit Milloux theorem and deficiency of vector-valued meromorphic functions. 
92a:30032 

Langley, J. K. see Bank, Steven B., 92g:34003 

Mokhon‘ko, V. D. (with Gorbachevskii, A. E.) Meromorphic solutions of first-order 
differential equations. (Russian) 92j:34010 

Nagnibida, N. I. On the equivalence of composite operators to a double differentiation 
operator. (Russian) 92i:47034 

Nikitin, S. V. see Emel’yanov, S. V.; et al., 92d:93086 

Patel, Jagannath see Kapoor, G. P.; et al., 92m:30020 

Rubel, Lee A. Quotients of solutions of linear algebraic differential equations. 92b:34016 

Salmassi, Mohammad Entire solutions of nonhomogeneous differential equations. 
92j:34011 

Sheremeta, M. N. see Kuzyk, A. D., 92b:30031 

Singh, Anand Prakash Erratum: “On a class of slowly changing function” [Proc. Indian 
Acad. Sci. Math. Sci. 98 (1988), no. 1, 25-30; MR 90e:26005]. 

Skwarczytiski, Maciej L-angles and the Genchev transform. (see 92d:30002) 

Sorokivskii, V.M. see Vinnitskii, B. V., 92j:30002 

Timofeev, A. Yu. Die Differentialideale im Ring der ganzen Funktionen, die bei 
vorgegebener Ordnung Minimaltyp besitzen. [The differential ideals in the ring of entire 
functions which at given order have minimal type] 92i:30046 

Vinnitskii, B. V. (with Sorokivskii, V.M.) Behavior on the real axis of entire functions 
represented by Dirichlet series. (Russian. Ukrainian summary) 92j:30002 

Vuorinen, Matti see Jarvi, Pentti, 92m:30041 

Zhivoglyadov, P. V. see Emel’yanov, S. V.; et al., 92d:93086 


30D30 Meromorphic functions, general theory 


Barsegyan, G. A. (with Sukiasyan, G. A.) The proximity property for meromorphic 
functions with near zeros and poles. (Russian. English and Armenian summaries) 
921:30042 

Bergweiler, Walter Proof of a conjecture of Gross concerning fix-points. 92j:30028 

Danchenko, V. I. Rational components of meromorphic functions and their derivatives. 
(Russian. English summary) 92i:30028 





30D30 


Drasin, David Asymptotic periods of entire and meromorphic functions. 92m:30055 
Guo, Yu' see Liu, Xue Kun; et al., 92a:30030 
He, Yu Zan see Yang, Chung-chun’; et al., 92h:30061 
Hua, Xin Hou Uniquely factorizable entire functions. 92b:30035 
Lahiri, Indrajit Generalised order of meromorphic functions. 92k:30048 
Liu, Xue Kun (with Guo, Yu') Singular directions of U type and BU type of certain 
meromorphic functions of zero order. (Chinese. English summary) 92a:30030 
Reinders, Martin Eindeutigkeitssatze fiir meromorphe Funktionen, die vier Werte teilen. 
[Uniqueness theorems for meromorphic functions sharing four values] 92m:30056 
-Singh, Anand Prakash On the equality of orders of two meromorphic functions. (see 
92b:00048) 
Song, Guo Dong’ On factorization representation on meromorphic functions. 92f:30043 
— see also Yang, Chung-chun!; et al., 92h:30061 
Sukiasyan, G. A. see Barsegyan, G. A., 92f:30042 
Wu, Sheng Jian A note on power series with (A, P) gaps. (Chinese. English summary) 
92b:30036 
Yamashita, Shinji Local maxima of the spherical derivative. 92m:30057 
Yang, Chung-chun! (with Song, Guo Dong'; He, Yu Zan) The factorization theory of 
meromorphic functions and research problems. (Chinese. English summary) 92h:30061 
Ye, Shou Zhen Uniqueness of meromorphic functions with three common values. (Chinese. 
English summary) 
Zeng, Fu Xiang The pseudoprime property of meromorphic solutions to a class of algebraic 
differential equations. (Chinese. English summary) 


Items with secondary classifications in 30D30 

Borogovac, M. Multiplicities of nonsimple zeros of meromorphic matrix functions of the 
class N2*". 92i:47014 

Cutillas Ripoll, Pascual On rings with a certain type of factorization and compact Riemann 
surfaces. 92b:30049 

Gorbachevskii, A. E. see Mokhon’ko, V. D., 92j:34010 

He, Yu Zan (with Zou, Xiu Lin; Lin, Yong) Meromorphic solutions to ordinary differential 
equations. (Chinese) 92h:34011 

Ha, Pei Chu An application of the Carleman formula. (Chinese. English summary) 
92j:11089 

Lahiri, Indrajit Milloux theorem and deficiency of vector-valued meromorphic functions. 
92a:30032 

Lin, Yong see He, Yu Zan; et al., 92h:34011 

Mokhon’ko, V. D. (with Gorbachevskii, A. E.) Meromorphic solutions of first-order 
differential equations. (Russian) 92j:34010 

Paviéevié, Zarko The Carleson measure, the Ahlfors-Shimizu characteristic and the classes 
BMO and BMOA. (Russian) 92k:30054 

Urabe, Hironobu (with Yang, Chung-chun') On factorization of entire functions satisfying 
differential equations. 92g:34007 

Yang, Chung-chun! see Urabe, Hironobu, 92g:34007 

Yang, Le Precise estimate of total deficiency of meromorphic derivatives. 92c:30034 

Zou, Xiu Lin see He, Yu Zan; et al., 92h:34011 


30D35 Distribution of values, Nevanlinna theory 


Bergweiler, Walter Erratum to: “Maximum modulus, characteristic, and area on the sphere” 
[Analysis 10 (1990), no. 2-3, 163-176; MR 91k:30072]. 

Bravo de la Parra, Rafael (with Fernandez Arias, A.) On the Valiron deficiencies of oriented 
functions. 92m:30058 

Cai, Jian On deficiencies of entire functions. (Chinese. English summary) 

Chen, Te Wei The Borel points of algebroid functions with infinite order of growth in the 
unit disk. (Chinese. English summary) 

Dai, Chong Ji (with Drasin, David; Li, Bao Qin) On the growth of entire and meromorphic 
functions of infinite order. 92a:30031 

— see also Ma, Mi Jia; et al., 92£:30044 

Drasin, David see Dai, Chong Ji; et al., 92a:30031 

Erémenko, A. E. (with Sodin, M. L.) On the distribution of values of meromorphic 
functions of finite order. (Russian) 92d:30018 

— Acounterexample to the Arakelyan conjecture. 92k:30049 

Fernandez Arias, A. see Bravo de la Parra, Rafael, 92m:30058 

Gethner, Robert M. Two relatives of Picard’s theorem on entire functions. 92m:30059 

Han, Jian Zhi (with Li, Ren Le) Singular directions corresponding to Hayman’s inequality. 
(Chinese. English summary) 

Helgason, Sigurdur Value-distribution theory for holomorphic almost periodic functions. 
92¢:30032 

Hu, He Fen see Zheng, Jia Hua; et al. 

Ha, Pei Chu An extension of Hayman’s inequality. (Chinese. English summary) 92c:30033 

Hua, Xin Hou A unicity theorem for entire functions. 92d:30019 

— Ona problem of Hayman. 924:30020 

— Some extensions of the Tumura-Clunie theorem. 92¢:30016 

— see also Zhuang, Qi Tai; et al., 92b:30039 

Lahiri, Indrajit Milloux theorem and deficiency of vector-valued meromorphic functions. 
92a:30032 

Langley, J.K. An application of the Tsuji characteristic. 92m:30060 

Li, Bao Qin (with Song, Guo Dong') On certain criteria for the primality of meromorphic 
functions. (Chinese summary) 92h:30062 

— see also Dai, Chong Ji; et al., 92a:30031 

Li, Ren Le see Han, Jian Zhi; et al. 

Lin, Yu Kun Deficiency relationships for composite functions. (Chinese. English summary) 

Liu, Quan Sheng see Sun, Dao Chun; et al., 92h:30063 

Ma, Mi Jia (with Dai, Chong Ji) On a class of meromorphic functions with maximal 
deficiency sun concerning deficient functions. (Chinese summary) 92f:30044 

Mikaelyan, G. V. Growth of functions of generalized-bounded form in a half-plane. 
(Russian. English and Armenian summaries) 92i:30029 

Patil, Prakash M. see Singh, Anand Prakash, 92b:30037 


FUNCTIONS OF A COMPLEX VARIABLE 


1992 410 


Qiao, Jian Yong On the growth of compositions of linear and meromorphic functions. 
92i:30030 

Singh, Anand Prakash (with Patil, Prakash M.) Relative defects for monomials. 92b:30037 

Sodin, M. L. see Erémenko, A. E., 924:30618 

Song, Guo Dong! see Li, Bao Qin; et al., 92h:30062 

Sons, L. R. Value distribution and derivatives of meromorphic functions in the unit disk. 
92m:30061 

Sun, Dao Chun (with Liu, Quan Sheng) On the value-distribution of some random analytic 
functions. (Chinese summary) 92h:30063 

Tohge, Kazuya On the value distribution of an entire function of order at most one. 
92b:30038 

Wu, Peng Cheng Correction to: “Deficient values and asymptotic values of entire functions” 
[Acta Math. Sinica 31 (1988), no. 3, 404-413; MR 89k:30030]. (Chinese) 92h:30064 

Yang, Le Precise estimate of total deficiency of meromorphic derivatives. 92¢:30034 

— Precise fundamental inequalities and sum of deficiencies. 92h:30065 

Ye, Shou Zhen A generalization of the uniqueness theorem for meromorphic functions. 
(Chinese. English summary) 92k:30050 

Ye, Ya Sheng Exceptional values of differential monomials. 92m:30062 

Yi, Hong Xun On the value distribution of differential polynomials. 92f:30045 

Zhan, Xiao Ping! Extension of the Edrei and Fuchs elliptic theorem for deficiencies. 
(Chinese. English summary) 92h:30066 

Zhan, Xiao Ping” Distribution of values of derivatives of a class of meromorphic functions. 
(Chinese. English summary) 92:30046 

— Asymptotic properties of algebroid functions. (Chinese. English summary) 92f:30047 

Zheng, Jia Hua (with Hu, He Fen) Some results on relative defects of meromorphic 
functions. (Chinese. English summary) 

Zhuang, Qi Tai (with Hua, Xin Hou) On the growth of meromorphic functions. 92b:30039 


Items with secondary classifications in 30D35 

Atsuji, Atsushi Erratum: “Some inequalities for some increasing additive functionals of 
planar Brownian motion and an application to Nevanlinna theory” [J. Fac. Sci. Univ. 
Tokyo Sect. IA Math. 37 (1990), no. 1, 171-187; MR 911:60199]. 924:60082 

Chen, Te Wei The maximality Borel directions of algebroid functions. (Chinese. English 
summary) 

Fujita, Kenji see Ishizaki, Katsuya, 92m:34007 

Gorbachevskii, A. E. see Mokhon’ko, V. D., 92j:34010 

Gross, Fred (with Osgood, Charles F.) An extension of a theorem of Steinmetz. 92h:30052 

Hayman, Walter K. Growth lemmas in function theory. 92h:30058 

Huang, Cun Zhi Some results on the complex oscillation theory of second order linear 
differential equations. 92k:34003 

Ishizaki, Katsuya (with Fujita, Kenji) Deficient and ramified small functions for admissible 
solutions of some differential equations. II. 92m:34007 

Langley, J. K. Some oscillation theorems for higher order linear differential equations with 
entire coefficients of small growth. 92g:34004 

McKean, Henry Curvatura integra, handle-number, and genus of transcendental curves. 
92h:53020 

Mokhon‘ko, V. D. (with Gorbachevskii, A. E.) Meromorphic solutions of first-order 
differential equations. (Russian) 92j:34010 

Osgood, Charles F. see Gross, Fred, 92h:30052 

Reinders, Martin Eindeutigkeitssatze fiir meromorphe Funktionen, die vier Werte teilen. 
[Uniqueness theorems for meromorphic functions sharing four values] 92m:30056 

Ru, Min (with Stoll, Wilhelm) The second main theorem for moving targets. 92j:32098 

Shcherba, A. I. The set on which an entire function is bounded below. (Russian) 92i:30027 

Steinmetz, Norbert Linear differential equations with exceptional fundamental sets. 
92m:34014 

Stoll, Wilhelm see Ru, Min, 92j:32098 


30D40 Cluster sets, prime ends, boundary behavior 


Barth, K. F. (with Rippon, P. J.; Sons, L. R.) Angular limits of holomorphic and meromor- 
phic functions. 92b:30040 

Gvaradze, M. I. Points of ambiguity of analytic functions. (Russian. English summary) 
92m:30063 

Hallenbeck, D. J. (with Samotij, Krzysztof) A note on radial variation of analytic 
functions. 92g:30033 

Herold, Horst Funktic heoretische Integralungleichung mit geometrischer Anwendung. 
[Function-theoretic integral inequality with geometric application] 92c¢:30035 

Rippon, P. J. Asymptotic values of continuous functions in Euclidean space. 92k:30051 

— see also Barth, K. F.; et al., 92b:30040 

Saakyan, R. Sh. On a conjecture of A. A. Gonchar. (Russian) 92a:30033 

Samotij, Krzysztof see Hallenbeck, D. J., 92g:30033 

Sons, L. R. see Barth, K. F.; et al., 92b:30040 

Yang, Xi Ping The radial behavior of lacunary series. (Chinese. English summary) 
92i:30031 





Items with secondary classifications in 30D40 

Alexander, H. Boundary behavior of certain holomorphic maps. 92¢:32031 

Alinhac, Serge (with Baouendi, M. S.; Rothschild, Linda Preiss) Unique continuation and 
regularity at the boundary for holomorphic functions. 924:32033 

Andreian Cazacu, Cabiria Gap series, annular functions and normal exhaustibility. (see 
92d:30002) 

Baouendi, M.S. see Alinhac, Serge; et al., 92d:32033 

Berberyan, S. L. On angular boundary values of normal subharmonic functions. (Russian) 
92g:31002 

Kim, Yong Chan (with Kwon, Ern Geun) On the boundary behavior and Taylor coefficients 
for mixed norm spaces D?4. 92h:42030 

Krzyz, Jan G. Quasisymmetric functions and harmonic analysis. (see 90m:00035) 

Kwon, Ern Geun see Kim, Yong Chan, 92h:42030 

Przytycki, Feliks (with Skrzypczak, Jan) Convergence and pre-images of limit points for 
coding trees for iterations of holomorphic maps. 92k:58231 





411 1992 


Rothschild, Linda Preiss see Alinhac, Serge; et al., 92d:32033 

Schlag, Wilhelm A note on complex Tauberian theorems. 92k:40006 

Skrzypczak, Jan see Przytycki, Feliks, 92k:58231 

Sun, Dao Chun Boundary properties of lacunary and random series. (Chinese. English 
summary) 92k:60109 


30D45 Bloch functions, normal functions, normal families 


Attele, K. R. M. Interpolating sequences for the derivatives of Bloch functions. 92m:30064 

Bonilla, A. (with Pérez-Gonzalez, Fernando) Radial growth and boundedness for Bloch 
functions. 92¢:30017 

Hu, Zhang Jian The BMO, and Bloch functions on two-connected planar domains. 
(Chinese. English summary) 92k:30052 

Labudovié, N. (with Pavicevi¢, Zarko) Hyperbolic Bloch functions. (Russian) 92e:30018 

Ma, Wan Cang (with Minda, David) Linear invariance and uniform local univalence. 
92c:30036 

Minda, David see Ma, Wan Cang, 92c:30036 

Pang, Xue Cheng On normal criterion of meromorphic functions. 92b:30041 

— A normal criterion and singular directions. (Chinese) 92h:30067 

Pavicevi¢é, Zarko see Labudovié, N., 92e:30018 

Pérez-Gonzalez, Fernando see Bonilla, A., 92e:30017 

Samotij, Krzysztof A remark on boundedness of Bloch functions. 92m:30065 

Xiao, Jie! Two natures of quasinormal function. (Chinese summary) 92h:30068 

Ye, Ya Sheng A new normality criterion and its application. (Chinese) 92h:30069 

Items with secondary classifications in 30D45 

Andreian Cazacu, Cabiria Gap series, annular functions and normal exhaustibility. (see 
92d:30002) 

Aulaskari, Rauno (with Lappan, Peter) Some results on BMOH and VMOH on Riemann 
surfaces. 92m:30080 

Lappan, Peter see Aulaskari, Rauno, 92m:30080 

Liu, Xiang Yang (with Minda, David) Distortion theorems for Bloch functions. 92k:30041 

Lon, Zeng Jian Multipliers of H?, G? and Bloch spaces. 92j:30052 

Lu, Ke Ping Hankel operators on Bergman spaces of several complex variables. (Chinese) 
92k:47050 

Lyons, Terry A sy ic proof of Mak *s law of the iterated logarithm. 92b:30027 

Miao, Jie Carleson measures and related inequalities. (Chinese. English summary) 
92£:30050 

Minda, David see Liu, Xiang Yang, 92k:30041 

Nara, Chié Uniqueness of the predual of the Bloch space and its strongly exposed points. 
92c:46023 

Xiao, Jie! Bounded projection, harmonic conjugation and completeness of {(1 — @jz)~*-'} 
in L?(g). (Chinese summary) 92£:30066 

Zhu, Ke He Duality of Bloch spaces and norm convergence of Taylor series. 92h:30004 





30D50 Blashke products, bounded mean oscillation, bounded 
characteristic, bounded functions, functions with positive 
real part 


Abian, Alexander A proof of Rado’s theorem. On removable singularities of analytic 

functions. (Russian and Slovak summaries) 92f:30048 
D.T. The order of growth of M. M. Dzhrbashyan’s products B,(z, z;). 

(Russian) 92h:30070 

Bellamy, David P. (with Tkaczynska, Katarzyna) Extreme points of some classes of analytic 
functions with positive real part and a prescribed set of coefficients. 92m:30066 

Craizer, M. Entropy of inner functions. 92m:30067 

Michel, Joachim An asymptotic formula for the Bergman projection on a certain class of 
domains in C. 92h:30071 

Nowak, Maria Some inequalities for BMOA functions. 92¢:30019 

Oganisyan, I. V. see Zakharyan, V. S., 92d:30021 

Osipenko, K. Yu. Blaschke products that deviate least from zero. (Russian) 92b:30042 

Papadimitrakis, M. Best uniform approximation by bounded analytic functions. (French 
summary) 92j:30029 

Shamoyan, F. A. Parametric representation of Nevanlinna-Dzhrbashyan classes. (Russian. 
Armenian summary) 92¢:30037 

Tkaczytiska, Katarzyna see Bellamy, David P., 92m:30066 

Wegert, Elias On families of holomorphic functions with restricted boundary values. 
92i:30032 

Yamada, Akira Ahlfors functions on Denjoy domains. 92k:30053 

Zakharyan, V.S. (with Oganisyan, I. V.) Letter to the editors: “Taylor coefficients of M. M. 
Dzhrbashyan’s products B,(z; z,)” [Izv. Akad. Nauk Armyan. SSR Ser. Mat. 23 (1988), 
no. 6, 588-593; MR 90h:30086]. (Russian) 924:30021 


Items with secondary classifications in 30D50 

Aleman, Alexandru Hilbert spaces of analytic functions between the Hardy and the 
Dirichlet space. 92i:46030 

Arov, D. Z. Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. I. (Russian) 92i:30034a 

— y-generating matrices, j-inner matrix functions and related extrapolation problems. II. 
(Russian) 92i:30034b 

— Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. III. (Russian) 92i:30034c 

Gelca, Razvan On Schur’s algorithm for holomorphic functions on Riemann surfaces. 
92h:30032 

Gorkin, Pamela (with Izuchi, Keiji) Some counterexamples in subalgebras of L®(D). 
92m:46074 

Gotoh, Yasuhiro On the composition of functions of bounded mean oscillation with 
multivalent analytic functions. 92c:30028 

Grushevskii, S. P. Estimates for distributions of boundary values of functions that are 
analytic in a polydisc. (Russian) 92j:32015 


30D Entire and meromorphic functions, and related topics 


30D55 


Hallenbeck, D. J. (with Samotij, Krzysztof) Radial growth of functions in Bergman-type 
spaces. 92k:30002 

Hayashi, Mikihiro (with Nakai, Mitsuru; Segawa, Shigeo) Bounded analytic functions on 
two sheeted discs. 92m:30079 

Izuchi, Keiji Interpolating sequences in the maximal ideal space of H®. 92m:30071 

— see also Gorkin, Pamela, 92m:46074 

Korenblum, Boris Transformation of zero sets by contractive operators in the Bergman 
space. 92a:30049 

LeBlanc, Emile A probabilistic zero set condition for the Bergman space. 92a:30006 

Nakai, Mitsuru see Hayashi, Mikihiro; et al., 92m:30079 

Pavi¢evi¢, Zarko The Carleson measure, the Ahlfors-Shimizu characteristic and the classes 
BMO and BMOA. (Russian) 92k:30054 

Richter, Stefan (with Sundberg, Carl) A formula for the local Dirichlet integral. 92i:47035 

Samotij, Krzysztof see Hallenbeck, D. J., 92k:30002 

Segawa, Shigeo see Hayashi, Mikihiro; et al., 92m:30079 

Stoll, Manfred Uniform limits of Green potentials in the unit disc. 92b:31001 

Sundberg, Carl see Richter, Stefan, 92i:47035 

Tkaczytiska, Katarzyna Extreme points of classes of analytic functions with positive real 
part and restricted second coefficient. 92¢:30025 


30D55_ H?-classes 


Akeroyd, John Density of the polynomials in the Hardy space of certain slit domains. 
92j:30030 

Cohn, William S. Radial imbedding theorems for invariant subspaces. 92j:30031 

D’yakonov, K. M. Moduli and arguments of analytic functions from subspaces in H? that 
are invariant under the backward shift operator. (Russian) 92f:30049 

— Entire functions of exponential type and model subspaces in H?. (Russian. English 
summary) 92h:30072 

Fedorov, S. I. Harmonic analysis in a multiply connected domain. I. (Russian) 92m:30068a 

— Harmonic analysis in a multiply connected domain. II. (Russian) 92m:30068b 

Fekete, Otto On some second order integral operators and Hardy classes. 

Helson, Henry Large analytic functions. II. 92¢:30039 

— Large analytic functions. 92c:30038 

— Large analytic functions. III. 92¢:30040 

Huang, Ji Gang see Rong, Jian Ping; et al., 92f:30051 

Illdn Gonzalez, Jestis Integration rules for H?-spaces. (see 92d:30002) 

Kazaryan, K. G. Solution of a multiple interpolation problem in the classes H™ in a half- 
plane and a strip. (Russian. English and Armenian summaries) 92g:30034 

Kobayashi, Shoji! On subordination for BMOA. 924:30022 

— Subordination for BMOA. 924:30023 

Marzuq, Maher M. H. Linear functionals on some weighted Bergman spaces. 92h:30073 

Miao, Jie Carleson measures and related inequalities. (Chinese. English summary) 
92:30050 

Nakai, Mitsuru Functions of Hardy-Orlicz class on Riemann surfaces. 92m:30069 

Nakazi, Takahiko Existence of solutions of extremal problems in H'. 92b:30043 

— Extremal problems in H?. 92m:30070 

Nestoridis, V. Estimates of intervals for univalent functions. (see 92d:30002) 

Nie, Fu Sheng Some harmonic analysis properties of block functions and their applications 
to H,. (Chinese. English summary) 92h:30074 

Paviéevié, Zarko The Carleson measure, the Ahifors-Shimizu characteristic and the classes 
BMO and BMOA. (Russian) 92k:30054 

Rajput, Balram S. (with Rama-Murthy, Kavi; Sundberg, Carl) An extremal problem in H? 
of the upper half plane with application to prediction of stochastic processes. 92i:30033 

Rama-Murthy, Kavi see Rajput, Balram S.; et al., 92i:30033 

Rong, Jian Ping (with Huang, Ji Gang) The Carleson measure characteristics of UBC 
functions. (Chinese. English summary) 92f:30051 

Shiga, Hiroshige Hardy spaces and BMO on Riemann surfaces. 92j:30032 

Sundberg, Carl see Rajput, Balram S.; et al., 92i:30033 

Vinogradov, S. A. The Blaschke condition and sets of uniqueness for some subclasses of 
Hardy spaces. (Russian. English summary) 92k:30055 

Yamashita, Shinji A norm for a mean Lipschitz space of holomorphic functions in the disk. 
92d:30024 

Zinsmeister, Michel Espaces de Hardy et domaines de Denjoy. [Hardy spaces and Denjoy 
domains] 92c:30041 


Items with secondary classifications in 30D55 


Akeroyd, John (with Khavinson, Dmitry; Shapiro, Harold S.) Remarks concerning cyclic 
vectors in Hardy and Bergman spaces. 92h:47034 

Antonevich, A. B. (with Khristova, M. S.) Operators generated by generalized Hardy- 
Littlewood operators. (Russian. English summary) 924:47043 

Bonami, Aline (with Madan, Shobha) Balayage of Carleson measures and Hankel operators 
on generalized Hardy spaces. 92m:31007 

Campbell, Randall K. Equivalent composition operators. 92h:47037 

Choa, Jun Soo (with Choe, Boo Rim) A Littlewood-Paley type identity and a characteriza- 
tion of BMOA. 92j:32010 

Choe, Boo Rim see Choa, Jun Soo, 92j:32010 

Cwikel, Michael (with McCarthy, John E.; Wolff, Thomas H.) Interpolation between 
weighted Hardy spaces. 92m:46033 

Dovgoshei, A. A. Approximation by polynomials of functions in Hardy classes in simply 
connected domains on the plane. (Russian. Ukrainian summary) 92f:30054 

Dybin, V. B. Multiple interpolation in weighted Hardy classes, and regularization of 
divergent integrals. (Russian. English and Armenian summaries) 92k:30056 

Essén, Matts An extension of two theorems of M. Riesz and A. Zygmund to R?, d > 2. (see 
92d:30002) 

Fekete, Otto The Hardy class of certain functions defined by Ruscheweyh derivatives. (see 
92h:30001) 

Ghatage, Pratibha G. (with Sun, Shun Hua; Zheng, De Chao) A remark on Bourgain 
algebras on the disk. 92¢:46108 





30D55 


Gorkin, Pamela (with Lingenberg, H.-M.; Mortini, Raymond) Homeomorphic disks in the 
spectrum of H™. 92b:46082 

— (with Mortini, Raymond) Interpolating Blaschke products and factorization in Douglas 
algebras. 92b:46083 

Hallenbeck, D. J. (with Samotij, Krzysztof) A note on radial variation of analytic 
functions. 92g:30033 

Hayashi, Mikihiro (with Nakai, Mitsuru; Segawa, Shigeo) Bounded analytic functions on 
two sheeted discs. 92m:30079 

Hensgen, Wolfgang Some remarks on boundary values of vector-valued harmonic and 
analytic functions. 92j:46062 

Hoffman, Kenneth M. * Banach spaces of analytic functions. 924:46066 

Holden, Peter J. On the stable rank of H™. 924:46135 

Khavinson, Dmitry see Akeroyd, John; et al., 92h:47034 

Khristova, M.S. see Antonevich, A. B., 92d:47043 

Lingenberg, H.-M. see Gorkin, Pamela; et al., 92b:46082 

Lou, Zeng Jian Multipliers of H?,G? and Bloch spaces. 92j:30052 

Madan, Shobha see Bonami, Aline, 92m:31007 

Matache, Valentin Composition operators on H? of the upper half-plane. 92k:47063 

McCarthy, John E. see Cwikel, Michael; et al., 92m:46033 

Mehanna, A. A. W. see Singh, Dinesh, 92i:46027 

Michel, Joachim An asymptotic formula for the Bergman projection on a certain class of 
domains in C. 92h:30071 

Mortini, Raymond see Gorkin, Pamela; et al., 92b:46082 and 92b:46083 

Nakai, Mitsuru see Hayashi, Mikihiro; et al., 92m:30079 

Pichorides, S. K. A remark on the constants of the Littlewood-Paley inequality. 92f:42016 

Poltoratskii, A.G. Marshall’s theorem for functions that are continuous almost everywhere. 
(Russian. English summary) 92j:30053 

Richter, Stefan (with Sundberg, Carl) A formula for the local Dirichlet integral. 92i:47035 

Samotij, Krzysztof see Hallenbeck, D. J., 92g:30033 

Segawa, Shigeo see Hayashi, Mikihiro; et al., 92m:30079 

Shapiro, Harold S. see Akeroyd, John; et al., 92h:47034 

Shapiro, Joel H. (with Sundberg, Carl) Isolation amongst the composition operators. 
92:47041 

Sharma, Som Datt A motion in H?(z*+). 92£:54039 

Singh, Dinesh (with Mehanna, A. A. W.) Invariant subspace of functions in H' with real 
Taylor coefficients. 92i:46027 

Sun, Shun Hua see Ghatage, Pratibha G.; et al., 92e:46108 

Sundberg, Carl see Shapiro, Joel H., 92g:47041 and Richter, Stefan, 92i:47035 

Trembinska, A.M. A uniqueness theorem for entire functions of two complex variables. 
92g:32004 

Vakarchuk, S. B. Best polynomial approximations in some Banach spaces of analytic 
functions. (Russian. English summary) 924:30027 

Wolff, Thomas H. see Cwikel, Michael; et al., 92m:46033 

Yao, Bi Yun The extended Carleson measure and the derivatives of L? functions. 
92k:42031 

Zheng, De Chao see Ghatage, Pratibha G.; et al., 92e:46108 

Zhu, Ke He Duality of Bloch spaces and norm convergence of Taylor series. 92h:30004 


30D60 Quasi-analytic and other classes of functions 


Ecalle, Jean P. The acceleration operators and their applications to differential equa- 
tions, quasianalytic functions, and the constructive proof of Dulac’s conjecture. (see 
92m:00054) 


Vol'berg, A. L. Asymptotically holomorphic functions and certain of their applications. (see 
92m:00054) 


Items with secondary classifications in 30D60 
Hedenmalm, Hakan Formal power series and nearly analytic functions. 92:30003 


30D99 None of the above, but in this section 


Bonilla, A. (with Pérez-Gonzalez, Fernando) Boundedness for Bloch functions. (see 
92b:00044) 

Gorina, O. V. Solvability of a differential equation with constant coefficients in classes of 
analytic functions with given estimates for the derivatives. (Russian) (see 92f:00019) 

Pérez-Gonzalez, Fernando see Bonilla, A., (92b:00044) 

Sakai, Makoto Regularity of a boundary having a Schwarz function. 92c:30042 

Wojtaszczyk, P. On multipliers into Bergman spaces and Nevanlinna class. 92e:30020 


Items with secondary classifications in 30D99 

Adukov, V.M. On Wiener-Hopf factorization of meromorphic matrix functions. 
92m:47039 

Alekna, Petras Inhomogene Riemannsche Randwertaufgabe mit positiv unendlichen Index 
der logarithmischen Ordnung min(a, #) > 1 fiir einen Winkelraum. [Inhomogeneous 
Riemannian boundary value problem with positively infinite index of the logarithmic 
order min(a, 8) > 1 for an angular domain] 92h:30080 

Fritzsche, Bernd (with Kirstein, Bernd) Schuranalysis—Umfassende Entfaltung einer 
mathematischen Methode. [Schur analysis—comprehensive evolution of a mathematical 
method] (see 92m:00034) 

Ishizaki, Katsuya On a conjecture of Gackstatter and Laine on some differential equations. 
92j:34008 

Kasandrova, Ivanka M. see Kostova, Mariya D., (92d:30002) 

Kirstein, Bernd see Fritzsche, Bernd, (92m:00034) 

Kostova, Mariya D. (with Kasandrova, Ivanka M.) Multiplier sequences. (see 92d:30002) 

Kotus, Janina The domains of normality of holomorphic self-maps of C*. 92b:58198 

Kumar, Naresh (with Srivastava, G. S.) On the derivatives of a function analytic in a half 
plane. 92h:30007 

Reich, Ludwig Uber verallgemeinerte Differentialgleichungen von Aczél-Jabotinsky im 
komplexen (Parameterabhangigkeit und holomorphe Fortsetzung von Integralen). 
(English summary) [On generalized differential equations of Aczél and Jabotinsky in the 


FUNCTIONS OF A COMPLEX VARIABLE 


1992 


complex domain (parameter dependence and holomorphic continuation of integrals)] 
92k:34005 

Ross, William T. Analytic continuation in Bergman spaces and the compression of certain 
Toeplitz operators. 92m:47055 

Srivastava, G.S. see Kumar, Naresh, 92h:30007 

Tan, Yue Wu Meromorphic solutions to a class of ordinary differential equations with 
rational coefficients. (Chinese. English summary) 


30Exx Miscellaneous topics of analysis in the complex 
domain 


30E05 Moment problems, interpolation problems 


Arov, D. Z. Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. I. (Russian) 92i:30034a 

— y-generating matrices, j-inner matrix functions and related extrapolation problems. II. 
(Russian) 92i:30034b 

— Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. III. (Russian) 92i:30034c 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) Tangential interpolation problems 
for rational matrix functions. (see 92a:15001) 

— (with Gohberg, israel; Rodman, Leiba) Two-sided Lagrange-Sylvester interpolation 
problems for rational matrix functions. 92j:30033 

Das, Pradip Kumar H-interpolation into a class of analytic functions. 92j:30034 

Dybin, V. B. Multiple interpolation in weighted Hardy classes, and regularization of 
divergent integrals. (Russian. English and Armenian summaries) 92k:30056 

Eissa, R. P. see Mohamed, M. I. 

Gohberg, Israel see Ball, Joseph A.; et al., 92j:30033 and (92a:15001) 

Gonzalez-Vera, Pablo see Pérez-Acosta, Francisco, (92b:00044) 

Gutknecht, Martin H. In what sense is the rational interpolation problem well posed? 
92e:30021 

Izuchi, Keiji Interpolating sequences in the maximal ideal space of H®. 92m:30071 

Kodama, Shinzo see Ohta, Yoshito; et al., 92j:30035 

Korobeinik, Yu. F. Interpolation problems and dense sets. (Russian) 92d:30025 

Kuzbekov, T. T. An interpolation problem in a space of entire functions. (Russian) (see 
92:00019) 

Lou, Yuan Ren The Walsh overconvergence theory of interpolating polynomials in the 
complex domain. (Chinese. English summary) 

Maeda, Hajime see Ohta, Yoshito; et al., 92j:30035 

Mohamed, M. I. (with Eissa, R. P.) Sketch on solving a boundary value problem for a 
special domain. 

Narita, Junichiro Interpolating sequences on plane domains. 92f:30052 

Ohta, Yoshito (with Maeda, Hajime; Kodama, Shinzo) Unit interpolation in H,,: bounds 
of norm and degree of interpolants. 92j:30035 

Pérez-Acosta, Francisco (with Gonzalez-Vera, Pablo) On a generalized moment problem 
involving rational functions with predetermined poles. (Spanish. English summary) (see 
92b:00044) 

Piedra, René On the differences of simultaneous rational interpolants. 92j:30036 

Rodman, Leiba see Ball, Joseph A.; et al., 92j:30033 and (92a:15001) 

Shen, Xie Chang (with Tu, Tian Liang) Complex interpolatory approximation. (Chinese. 
English summary) 92i:30035 

— (with Shuai, Bin Peng) Uniform convergence of Lagrange interpolating polynomials at 
asymptotic Fejér points in a Jordan domain. 92g:30035 

Shuai, Bin Peng see Shen, Xie Chang; et al., 92g:30035 

Tu, Tian Liang see Shen, Xie Chang; et al., 92i:30035 

Znamenskaya, L. N. Interpolation of Gevrey class functions in a closed disk and ball. 
(Russian) 92£:30053 


Items with secondary classifications in 30E05 


Andersson, Mats (with Passare, Mikael) Complex Kergin interpolation. 92b:41003 

Arocena, Rodrigo On a geometric interpretation of Schur parameters. 92i:47015 

Arov, D. Z. The Carathéodory theorem for matrix-functions, the maximai jump of spectral 
functions in continuation problems. (Russian) 92i:47016 

Augenstein, David L. see Frazho, Arthur E., 92d:47022 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) * Interpolation of rational matrix 
functions. 92m:47027 

Bercovici, Hari (with Foias, Ciprian; Tannenbaum, Alien) Spectral variants of the 
Nevanlinna-Pick interpolation problem. 92k:47031 

— (with Foias, Ciprian; Tannenbaum, Allen) On spectral tangential Nevanlinna-Pick 
interpolation. 924:47020 

Berg, Christian (with Thill, Marco) Rotation invariant moment problems. 92j:44004 

Derkach, V. A. (with Malamud, M. M.) The resolvent matrix of a Hermitian operator and 
the moment problem with gaps. (Russian) 92¢:47029 

Dym, Harry On reproducing kernel spaces, J unitary matrix functions, interpolation and 
displacement rank. 92f:46024 

— RKHS, LIS and interpolation. 92j:47033 

Foias, Ciprian (with Frazho, Arthur E.) * The commutant lifting approach to interpolation 
problems. 92k:47033 

— see also Bercovici, Hari; et al., 92d:47020 and 92k:47031 

Frazho, Arthur E. (with Augenstein, David L.) A remark on two solutions to the rational 
Nehari interpolation problem. 924:47022 

— Acommutant lifting approach to tangential interpolation. 92m:47028 

— see also Foias, Ciprian, 92k:47033 

Fritzsche, Bernd (with Kirstein, Bernd) A Schur type matrix extension problem. IV. 
92i:47017 

Gelca, Razvan On Schur’s algorithm for holomorphic functions on Riemann surfaces. 
92h:30032 

Gohberg, Israel see Ball, Joseph A.; et al., 92m:47027 





413 1992 


Gonzalez-Vera, Pablo (with Njastad, Olav) Szegé functions and multipoint Padé approxi- 
mation. 92b:30044 

Gubreev, G.M. Dzhrbashyan-type integral transforms, and interpolation by entire functions 
of finite order. (Russian) 92f:30038 

Kazaryan, K. G. Solution of a multiple interpolation problem in the classes H™ in a half- 
plane and a strip. (Russian. English and Armenian summaries) 92g:30034 

Kheifets, A. Ya. A generalized bitangential Schur-Nevanlinna-Pick problem and its related 
Parseval equality. (Russian) 92a:47019 

Kirstein, Bernd see Fritzsche, Bernd, 92i:47017 

Malamud, M. M. see Derkach, V. A., 92e:47029 

Nie, Fu Sheng Some harmonic analysis properties of block functions and their applications 
to H,. (Chinese. English summary) 92h:30074 

Nijastad, Olav see Gonzalez-Vera, Pablo, 92b:30044 

Passare, Mikael see Andersson, Mats, 92b:41003 

Prasad, Jagdish see Varma, A. K., 92d:41041 

Rodman, Leiba see Ball, Joseph A.; et al., 92m:47027 

Szafraniec, Franciszek Hugon A RKHS of entire functions and its multiplication operator. 
An explicit example. 92a:47034 

Tannenbaum, Allen see Bercovici, Hari; et al., 92d:47020 and 92k:47031 

Thill, Marco see Berg, Christian, 92j:44004 

Tu, Tian Liang The Bernstein type inequality and simultaneous approximation by 
interpolation polynomials in complex domain. 92m:30073 

Varma, A. K. (with Prasad, Jagdish) Rate of convergence for lacunary interpolation 
processes based on the roots of unity. 92d:41041 

Viano, G. A. Solution of the Hausdorff moment problem by the use of Pollaczek polynomi- 
als. 924:44017 


30E10 Approximation in the complex domain 


Atteia, Mare (with Wang, Xiao Lin) Complex-valued spline functions defined on an open 
complex set, bounded and multiply connected. 92i:30036 

Berezkina, L. L. (with Rusak, V. N.) Best rational approximation of some entire functions. 
(Russian. English summary) 924:30026 

Betancor, Jorge Juan see Fariiia Gil, Juan Carlos, (92b:00044) 

(Boas, Ralph P.) see Nikishin, E. M., 92i:30037 

Bonilla, A. (with Farifia Gil, Juan Carlos) Meromorphic uniform approximation of 
functions in Lipa. (Spanish. English summary) (see 92m:00049) 

— see also Farina Gil, Juan Carlos, (92m:00049) 

Briick, Rainer Generalizations of Walsh’s equiconvergence theorem by the application of 
summability methods. 92¢:30043 

— Summability of sequences of polynomial interpolants in the roots of unity. 92k:30057 

Casasts Latorre, Luis see Orive Rodriguez, Ramén A.; et al., 92k:30058 

Detaille, C. see Thiran, J.-P., 92k:30059 

Dovgoshei, A. A. Approximation by polynomials of functions in Hardy classes in simply 
connected domains on the plane. (Russian. Ukrainian summary) 92f:30054 

Driver, K. A. (with Lubinsky, D. S.) Convergence of Padé approximants for a q- 
hypergeometric series (Wynn’s power series I). 92g:30036 

Farifia Gil, Juan Carlos Approximation over closed subsets. (Spanish. English summary) 
(see 92b:00044) 

— (with Betancor, Jorge Juan) A new extension of Runge’s theorem to closed subsets. 
(Spanish. English summary) (see 92b:00044) 

— (with Bonilla, A.) Observations on rational and holomorphic approximation in Lip a. 
(Spanish. English summary) (see 92m:00049) 

— see also Bonilla, A., (92m:00049) 

Ferry, John An extension of a theorem of D. Khavinson: “The Cauchy-Green formula and 
rational approximation on the sets with a finite perimeter in the complex plane” [J. Funct. 
Anal. 64 (1985), no. 1, 112-123; MR 87a:30062]. 92f:30055 

Freund, Roland W. On Bernstein type inequalities and a weighted Chebyshev approxima- 
tion problem on ellipses. 92¢:30022 

Golub, A. P. A property of Padé approximations of hypergeometric functions. (Russian) 
92£:30056 

Gonzalez-Vera, Pablo (with Njastad, Olav) Szegé functions and multipoint Padé approxi- 
mation. 92b:30044 

— see also Orive Rodriguez, Ramén A.; et al., 92k:30058 

Guadalupe Hernandez, José Javier (with Vinuesa Tejedor, Jaime) Convergence of the 
kernels for orthogonal polynomials on a domain with weights. (Spanish. English 
summary) (see 92b:00044) 

(Khavinson, Dmitry) see Ferry, John, 92f:30055 

Khusanov, Z. Kh. A criterion for fast rational approximation. (Russian) 

Lang, Patrick see Teets, Donald, 92g:30038 

Le ba Kkhan’ Chin’ Inverse theorems for multipoint Padé approximants. (Russian) 
92£:30057 

Levin, A. L. (with Lubinsky, D. S.) Rows and diagonals of the Walsh array for entire 
functions with smooth Maclaurin series coefficients. 92¢:30044 

Lubinsky, D. S. Distribution of poles of diagonal rational approximants to functions of fast 
rational approximability. 92h:30075 

— see also Levin, A. L., 92c:30044 and Driver, K. A., 92g:30036 

Makhmudov, Kh. M. Functions for which the least deviations from polynomials and 
rational functions are close. (Russian) 92m:30072 

Nikishin, E.M. (with Sorokin, V. N.) * Rational approximations and orthogonality. 
92i:30037 

Njastad, Olav see Gonzdlez-Vera, Pablo, 92b:30044 

Orive Rodriguez, Ramén A. (with Gonzalez-Vera, Pablo; Casastis Latorre, Luis) Choosing 
denominators in Padé approximation. (Spanish. English summary) 92k:30058 

Pekarskii, A. A. Generalized rational approximation in the disk. (Russian. English 
summary) 92f:30058 

Rusak, V. N. see Berezkina, L. L., 92d:30026 

Shen, Xie Chang Order of approximation by Hermite-Fejér interpolating polynomials in the 
complex plane. 92a:30034 


30E Miscellaneous topics of analysis in the complex domain 


30E10 


Sidi, Avram Quantitative and constructive aspects of the generalized Koenig’s and de 
Montessus’s theorems for Padé approximants. 92g:30037 

Sorokin, V. N. Simultaneous two-point Padé approximants of Markov functions. (Russian. 
Ukrainian summary) 92h:30076 

— see also Nikishin, E. M., 92i:30037 

Teets, Donald (with Lang, Patrick) Extended Markoff systems in the complex field. 
92g:30038 

Thiran, J.-P. (with Detaille,C.) On two complex Zolotarev’s first problems. 92k:30059 

Tu, Tian Liang The Bernstein type inequality and simultaneous approximation by 
interpolation polynomials in complex domain. 92m:30073 

Vakarchuk, S. B. On the approximation of a class of functions, analytic in the unit disk, in 
the Hausdorff metric. (Russian) 92c¢:30045 

— The best polynomial approximation of analytic functions of one and two complex 
variables. (Russian) 92k:30060 

— Best polynomial approximations in some Banach spaces of analytic functions. (Russian. 
English summary) 92d:30027 

Vinuesa Tejedor, Jaime see Guadalupe Hernandez, José Javier, (92b:00044) 

Walz, Guido Interpolation mit quadratischen Splines auf Jordan-Kurven. [Interpolation 
with quadratic splines on Jordan curves] 92h:30077 

Wang, James Li Ming A Mergelyan-Vitushkin approximation theorem for rational 
modules. 92h:30078 

— Approximation by rational modules in L? and BMO. 92j:30037 

Wang, Xiao Lin see Atteia, Marc, 92i:30036 

Wegert, Elias Boundary value probl and best approximation by holomorphic functions. 
92a:30035 

Zheng, Jia Hua (with Zhou, Han Yuan) Weighted uniform approximation of a class of 
sequences of analytic functions in infinite angular domains. (Chinese. English summary) 

Zhong, Le Fan Interpolation polynomial approximation in Bergman spaces. (Chinese) 
92}:30038 

Zhou, Han Yuan see Zheng, Jia Hua; et al. 


Items with secondary classifications in 30E10 

Akeroyd, John Density of the polynomials in the Hardy space of certain slit domains. 
92j:30030 

Baker, George A., Jr. (with Graves-Morris, P. R.) Convergence theorems for rows of 
Hermite-Padé integral approximants. 92h:41036 

— see also Martin, Pablo, 92d:41033 

Bessis, Daniel Orthogonal polynomials, Padé approximations and Julia sets. 92h:30051 

Brookes, R.G. (with McInnes, Allan W.) The existence and local behaviour of the 
quadratic function approximation. 92a:41012 

Detaille, C. see Thiran, J.-P., 92k:41036 

Doizhenko, E. P. (with Makhmudov, Kh. M.) On rational approximations of functions of 
complex variable integrable over plane domains. (Russian summary) 92b:41031 

Driver, K. A. Entire functions associated with e2, where Q is of slower than polynomial 
growth. 92h:30056 

Fischer, Bernd (with Freund, Roland W.) On the constrained Chebyshev approximation 
problem on ellipses. 92f:41030 

Freund, Roland W. see Fischer, Bernd, 92f:41030 

Gaisin, A.M. Strong incompleteness of a system of exponentials and a problem of 
Macintyre. (Russian) 92k:30045 

Golightly, George O. Absolutely convergent Lidstone series. II. 92h:30006 

Golub, A. P. Generalized moment representations and Padé-Chebyshev approximations. 
(Russian. Ukrainian summary) 92i:41021 

Gonzalez-Vera, Pablo (with Njastad, Olav) Convergence of two-point Padé approximants 
to series of Stieltjes. 92k:41021 

Graves-Morris, P. R. (with Saff, E. B.) Divergence of vector-valued rational interpolants to 
meromorphic functions. 92g:41023 

— see also Baker, George A., Jr., 92h:41036 

Gutknecht, Martin H. The rational interpolation problem revisited. 92j:41027 

Illin Gonzalez, Jestis Integration rules for H?-spaces. (see 92d:30002) 

Kostova, V. At. Approximation of bounded nonnegative functions by polynomials with 
positive coefficients in the Hausdorff metric. 92a:41004 

Krasichkov-Ternovskii, I. F. Abstract methods for the local description of closed submod- 
ules of analytic functions. (Russian) 92¢:46112 

Lorentzen, Lisa (with Masson, David R.) A sequence of best parabola theorems for 
continued fractions. 92¢:40003 

Makhmudov, Kh. M. see Dolzhenko, E. P., 92b:41031 

Makila, Pertti M. On identification of stable systems and optimal approximation. 
92h:93032 

Martin, Pablo (with Baker, George A., Jr.) Two-point quasifractional approximant in 
physics. Truncation error. 92d:41033 

Masson, David R. see Lorentzen, Lisa, 92e:40003 

McInnes, Allan W. see Brookes, R. G., 92a:41012 

Moral, L. The space L?(a,) in a finite union of Jordan curves. (Spanish) (see 92a:42002) 

Njastad, Olav see Gonzalez-Vera, Pablo, 92k:41021 

Osipenko, K. Yu. On the Lebesgue constants for interpolation of analytic functions. 
(Russian summary) 92f:41006 

Petrila, Titus On certain mathematical problems connected with the use of the complex 
variable boundary element method to the problems of plane hydrodynamics. Gauss’ 
variant of the procedure. 92m:76020 

Saff, E. B. see Graves-Morris, P. R., 92g:41023 

Sorokin, V. N. Simultaneous Padé approximations of functions of Stieltjes type. (Russian) 
92:41023 

Stahl, Herbert (with Totik, Vilmos) nth root asymptotic behavior of orthonormal 
polynomials. 92g:42015 

Thiran, J.-P. (with Detaille,C.) Chebyshev polynomials on circular arcs in the complex 
plane. 92k:41036 

Totik, Vilmos see Stahl, Herbert, 92g:42015 

Wang, James Li Ming Rational modules and Cauchy transforms. II. 92i:46062 

Xie, Ming Qin A note on Faber polynomials. (Chinese. English summary) 92h:30039 








30E15 


30E15 Asymptotic representations in the complex domain 


Immink, Geertrui K. On the asymptotic behavior of the coefficients of asymptotic power 
series and its relevance to Stokes phenomena. 92m:30074 
Weit, Yitzhak On a generalized asymptotic mean value property. 92j:30039 


Items with secondary classifications in 30E15 

Berry, Michael Victor (with Howls, C. J.) Hyperasymptotics for integrals with saddles. 
92j:41041 

Carpenter, Amos J. (with Varga, Richard S.; Waldvogel, Jorg) Asymptotics for the zeros of 
the partial sums of e7. I. 92m:33003 

— see also Varga, Richard S., 92m:33004 

Driver, K. A. Entire functions associated with e2, where Q is of slower than polynomial 
growth. 92h:30056 

Howls, C. J. see Berry, Michael Victor, 92j:41041 

Osipenko, K. Yu. On the Lebesgue constants for interpolation of analytic functions. 
(Russian summary) 92f:41006 

Spigler, Renato (with Vianello, Marco) Improved estimates for the derivatives of the O- 
symbols in view of numerical applications. 92m:41066 

Stahl, Herbert (with Totik, Vilmos) nth root asymptotic behavior of orthonormal 
polynomials. 92g:42015 

Totik, Vilmos see Stahl, Herbert, 92g:42015 

Varga, Richard S. (with Carpenter, Amos J.) Asymptotics for the zeros of the partial sums 
of e7. II. 92m:33004 

— see also Carpenter, Amos J.; et al., 92m:33003 

Vianello, Marco see Spigler, Renato, 92m:41066 

Waldvogel, Jérg see Carpenter, Amos J.; et al., 92m:33003 


30E20 Integration, integrals of Cauchy type, integral 
representations of analytic functions [see also 45Exx] 


McIntosh, Alan G. R. (with Qian, Tao) Singular integrals along Lipschitz curves with 
holomorphic kernels. 92j:30040 

Plaksa, S. A. Composition of a singular and a regular integral on a rectifiable curve. 
(Russian) 92i:30038 

Qian, Tao see Mcintosh, Alan G. R., 92j:30040 

Salimov, T.S. The A-integral and analytic functions. (Russian) (see 92f:45001) 

Soldatov, A. P. Boundary properties of Cauchy-type integrals. (Russian) 92a:30036 

Stoilov, Peio Basic characteristics of multipliers of Cauchy-type integrals with bounded 
density. (Russian. English summary) 92b:30045 

Volokhin, V. A. Regular representation of singular integrals of Bergman type with analytic 
and meromorphic densities. (Russian) (see 92e:00010) 


Items with secondary classifications in 30E20 

Airapetyan, G. M. On the boundedness of some integral operators. (Russian. Armenian 
summary) 92h:47069 

Aksent’ev, L. A. (with Zorin, I. A.) Sufficient conditions for the finite-valence of integral 
Tepreseiitations. (Russian) 92h:30017 

Christ, Michael * Lectures on singular integral operators. 92f:42021 

David, Guy René (with Semmes, Stephen) Intégrales singuliéres et régularité des sous- 
ensembles de R”. [Singular integrals and regularity of subsets of R"] 92h:42001 

Frontczak, Maria (with Miodek, Andrzej) Weil’s formulae and multiplicity. 92m:32005 

Goluzina, E.G. Sets of values of two systems of functionals on a class of functions 
connected with the Carathéodory class. (Russian) 92:30014 

Latyshev, Anatolii Vasil’evich (with Yushkanov, A. A.) Exact solution of the Boltzmann 
equation with a BGK collision operator in a problem of weak evaporation. (Russian. 
English summary) 92g:82093 

Miodek, Andrzej see Frontczak, Maria, 92m:32005 

Mironova, S. R. Properties of a singular integral in weighted Hélder spaces. (Russian) 
92i:42006 

Petrila, Titus On certain mathematical problems connected with the use of the complex 
variable boundary element method to the problems of plane hydrodynamics. Gauss’ 
variant of the procedure. 92m:76020 

Ryan, John Plemelj formulae and transformations associated to plane wave decompositions 
in complex Clifford analysis. 92i:30045 

Semmes, Stephen Differentiable function theory on hypersurfaces in R” (without bounds on 
their smoothness). 92m:30088 

— Analysis vs. geometry on a class of rectifiable hypersurfaces in R”. 92m:30089 

— see also David, Guy René, 92h:42001 

Soldatov, A. P. * OHomepubie CHHTyIApHbIe ONepaTopbi H Kpaesbie 3aa4n Teopun yHKuHH. 
(Russian) [One-dimensional singular operators and boundary value problems in function 
theory] 92i:47060 

Yushkanov, A. A. see Latyshev, Anatolii Vasil/evich, 92g:82093 

Zorin, I. A. see Aksent'ev, L. A., 92h:30017 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Christ, Michael, 92f:42021 


30E25 Boundary value problems [see also 45Exx] 


Airapetyan, G. M. The discontinuous Riemann-Privalov problem with shift in the class L'. 
(Russian. English and Armenian summaries) 92a:30037 

— A conjugation problem with shift in the classes L’. (Russian) 92i:30039 

Aksent'ev, L. A. (with Kazantsev, A. V.; Kinder, M. I.; Kiselev, A. V.) Classes of uniqueness 
of an exterior inverse boundary value problem. (Russian) 92j:30041 

Aksent'eva, E. P. On a study of a power Riemann boundary value problem. (Russian) 
92h:30079 

— On the solution of a nonlinear boundary value problem for a rectangle. II. (Russian) 

Alekna, Petras Inhomogene Riemannsche Randwertaufgabe mit positiv unendlichen Index 
der logarithmischen Ordnung min(a, £) > 1 fiir einen Winkelraum. [Inhomogeneous 


FUNCTIONS OF A COMPLEX VARIABLE 


1992 414 





Riemannian boundary value problem with positively infinite index of the logarithmic 
order min(a, 8) > 1 for an angular domain] 92h:30080 

Arslanov, F. Kh. On sufficient conditions for the univalence and uniqueness of solutions of 
inverse boundary value problems. (Russian) 92h:30081 

Barrett, David E. Uniqueness for the Dirichlet problem for harmonic maps from the 
annulus into the space of planar discs. 92k:30061 

Brovka, N. V. Construction of the canonical matrix of a two-element Riemann problem. 
(Russian. English summary) 

Damjanovi¢, Bosko Integral equations and boundary value problem for simple-connected 
regions. (Serbo-Croatian summary) 92¢:30046 

— Integral equations and boundary value problem for multiply-connected regions. (Serbo- 
Croatian summary) 92c:30047 

Dzhuraev, A. D. On Cauchy and Schwarz problems for elliptic systems. 92b:30046 

Efendiev, M. A. The nonlinear Hilbert problem with nonclosed initial conditions. (Russian. 
English and Azerbaijani summaries) 92c:30048 

Gonzalez-Carvajal, Clary see Mederos, Otilio B., 92i:30040 

Guseinov, E.G. see Salaev, V. V.; et al., 92h:30083 

Ilievski, Borko Some analytic solutions of a class of Vekua equations. (Macedonian. Russian 
summary) 

Kats, B. A. The Riemann boundary value probl 
(Russian) 92g:30039 

Kazantsev, A. V. see Aksent'ev, L. A.; et al., 92j:30041 

Kinder, M.I. see Aksent’ev, L. A.; et al., 92j:30041 

Kiselev, A. V. see Aksent'ev, L. A.; et al., 92j:30041 

Krutii, Yu. S. Factorization of a second-order piecewise-constant matrix of a special form. 
(Russian) (see 92f:00016) 

Krutitskii, P. A. The Riemann-Hilbert problem and the oblique derivative problem in the 
plane with cuts along the circumference. (Russian. English summary) 

Kulagina, M. F. Almost periodic solutions of characteristic singular equations on the line. 
(Russian) (see 92e:00010) 

— On the Markushevich boundary value p 
(see 92£:00016) 

Levinskii, S. V. A boundary value problem for functions that are polyanalytic in some 
multiply connected domains. (Russian) 92a:30038 

Lin, Yu Bo The Riemann boundary value problem of exceptional type with discontinuity 
coefficient in infinite interval. (see 92a:00039) 

Li, De A class of nonlinear two-dimensional singular integral equations. (Chinese. English 
summary) 92h:30082 

Mederos, Otilio B. (with Gonzalez-Carvajal, Clary) A singular case of the inhomogeneous 
Carleman problem for a strip. (Spanish. English summary) 92i:30040 

Meunargiya, O. V. Asymptotic properties of the solutions of a boundary value problem of 
linear conjugation. (Russian. English summary) 92b:30047 

Mochalov, V. V. On the solution of the Riemann problem on an open Riemann surface. 
(Russian) (see 92f:00016) 

Mohamed, M. I. A special system of boundary value problems. (Arabic summary) 
92e:30023 

Monakhov, V. N. (with Semenko, E. V.; Verkhovod, D. B.) Boundary value problems for 
conjugation of quasi-analytic functions on compact Riemann surfaces. 92m:30075 

Mshimba, Ali Seif The Cauchy-Lebesgue integral and boundary value problems. 92k:30062 

Nasyrov, S. R. A mixed inverse boundary value problem on Riemann surfaces. (Russian) 
92j:30042 

Ostrovskii, I. V. The homogeneous Riemann boundary value problem with an infinite index 
on a curvilinear contour. (Russian. English summary) 92j:30043 

Patrushev, A. A. (with Sil'vestrov, V. V.) The Markushevich boundary value problem in 
a class of automorphic functions with respect to a Fuchsian group of the second kind. 
(Russian) (see 92e:00010) 

— The Markushevich boundary value problem in a class of automorphic functions with 
respect to a cyclic group of elliptic type. (Russian) (see 92f:00016) 

Plaksa, S. A. The Riemann boundary value problem with index minus infinity, on a 
rectifiable curve. (Russian. Ukrainian summary) 92¢:30049 

— The Riemann boundary value problem with index plus infinity on a rectifiable curve. 
(Russian. Ukrainian summary) 92d:30028 

— The Riemann boundary value problem with infinite index of logarithmic order on a spiral- 
like contour. I. (Russian. Ukrainian summary) 92g:30040 

— The Riemann b y value problem with infinite index of logarithmic order on a spiral- 
like contour. II. (Russian. Ukrainian summary) 92g:30041 

Purtseladze, Z. Z. On the nonstationary Haseman boundary value problem. (Russian) 

Salaev, V. V. (with Guseinov, E. G.; Seifullaev, R. K.) The Plemelj-Privalov theorem. 
(Russian) 92h:30083 

Salekhova, I.G. A modified Dirichlet problem for a plane with a countable set of periodi- 
cally distributed slits. (Russian) (see 92e:00010) 

Salimov, R. B. (with Seleznév, V. V.; Slavutin, M. L.) Inverse boundary value problems 
with boundary conditions on the hodograph of the derivative. (Russian) 92j:30044 

Seifullaev, R. K. see Salaev, V. V.; et al., 92h:30083 

Seleznév, V. V. (with Slavutin, M. L.) Univalent solvability of inverse boundary value 
problems with boundary conditions on the hodograph of a derivative. (Russian) 
92a:30039 

— see also Salimov, R. B.; et al., 92j:30044 

Semenko, E. V. see Monakhov, V. N.; et al., 92m:30075 

Shirokova, E. A. Obtaining sufficient conditions for the uniqueness of the solution of the 
exterior inverse boundary value problem in the form of constraints on the initial data. 
(Russian) 92:30059 

— Solution of an interior inverse boundary value problem for the Beltrami equation with 
respect to the parameter s by reduction to integral equations. (Russian) 92g:30042 

Sil'vestrov, V. V. see Patrushev, A. A., (92e:00010) 

Slavutin, M. L. see Seleznév, V. V., 92a:30039 and Salimov, R. B.; et al., 92j:30044 

Verkhovod, D. B. see Monakhov, V. N.; et al., 92m:30075 

Wegert, Elias On boundary value problems and extremal problems for holomorphic 
functions. 92m:30076 

Xu, Zhen Yuan! On linear and nonlinear Riemann-Hilbert problems for regular function 





on a curve with nonuniform twisting. 





for almost periodic functions. (Russian) 














415 1992 


with values in a Clifford algebra. 92i:30041 


Items with secondary classifications in 30E25 

Aksent'ev, L. A. (with Zorin, I. A.) Sufficient conditions for the finite-valence of integral 
representations. (Russian) 92h:30017 

Auezbaeva, T. E. (with Zadina, Kh. U.) The Riemann-Hilbert problem for a first-order 
quasilinear elliptic equation in B-classes in the plane. (Russian. English and Kazakh 
summaries) 

Avkhadiev, F.G. Univalent solutions of inverse boundary value probl 
aerodynamics. (Russian) 92g:76008 

Babayan, A.O. A boundary value problem for the Bitsadze equation. (Russian. Armenian 
summary) 92h:35055 

Bil'man, B. M. (with Dzhangibekov, G.) Some systems of two-dimensional singular integral 
equations. (Russian) 92i:45003 

Bullough, R. K. (with Olafsson, Sverrir) Algebra of Riemann-Hilbert problems and the 
integrable models—a sketch. 92e:58085 

Dzhangibekov, G. Noethericity and the index of a class of two-dimensional singular integral 
operators. (Russian) 92f:47051 

— see also Bil'man, B. M., 92i:45003 

Dzhuraev, A. D. A boundary value problem for a system of Moisil-Teodorescu equations. 
(Russian) 92¢:35064 

Emets, Yu. P. (with Obnosov, Yu. V.) An exactly solvable problem on the mutual influence 
of inclusions in the theory of heterogeneous media. (Russian) 92a:78003 

Giorgadze, G. K. Topological properties of partial indices of the Riemann-Hilbert problem. 
(Russian. English and Georgian summaries) 92a:32022 

Gonzalez-Carvajal, Clary see Mederos, Otilio B., 92e:45005a and 92e:45005b 

Hu, Chuan Gan Vector-valued boundary value problems of a class. 92f:31003 

Jones, Peter Wilcox The ling salesman problem and harmonic analysis. 92c:42013 

Khimshiashvili, G. N. On the generalized Riemann-Hilbert problem with coefficients in a 
compact Lie group. 92m:22008 

Kovalév, V. F. A mixed boundary value problem for analytic functions of a biharmonic 
variable for a half-plane. (Russian) (see 92d:00010) 

Kudrik, P.I. A boundary value problem for x?-analytic functions. (Russian. Ukrainian 
summary) 92¢:30052 

Kurbatova, N. M. A boundary value problem for a system of first-order equations. (Russian. 
English and Lithuanian summaries) 92h:35159 

Kuznetsov, N. K. On the solution of the functional equation ‘¥(w + 1) = G(w) - [¥(w)P. 
(Russian) 92m:39016 

Mandzhavidze, G. F. * Ipanwunpie 3aqa4” ConpsxKeHHA CO CMEIIeHHeM JIA aHAIMTHYCCKHX 
# O606MIeHHEIX aHaHTHYeCKHX byHKUHH. (Russian) [Boundary value problems for 
conjugation with shift for analytic and generalized analytic functions] 92c:45004 

Mederos, Otilio B. (with Gonzalez-Carvajal, Clary) The homogeneous Carleman problem 
for a strip with singularities. First version. (Spanish. English summary) 92¢:45005a 

— (with Gonzalez-Carvajal, Clary) The homogeneous Carleman problem for the strip with 
zeros and poles in the coefficient. (Spanish. English summary) 92e:45005b 

Mshimba, Ali Seif The Riemann boundary value problem for nonlinear elliptic systems in 
Sobolev space W, )(D). 92a:35053 

Obnosov, Yu. V. see Emets, Yu. P., 92a:78003 

Obolashvili, E. 1. Effective solutions of some boundary value probl 
dimensional cases. (see 92i:00023) 

Sverrir see Bullough, R. K., 92e:58085 

Sil'vestrov, V. V. Fundamental mixed problem of elasticity theory on a two-sheeted surface. 
(Russian) 92m:73040 

— Stress-deformed state of a multisheeted surface with cuts. (Russian) 92j:73017 

Spitkovskii, I. M. (with Tashbaev, A. M.) Factorization of certain piecewise constant 
matrix functions and its applications. 92i:47061 

Tashbaev, A. M. see Spitkovskii, I. M., 92i:47061 

Tovstik, T. P. N. I. Muskhelishvili’s integral equation for a polygonal domain. (Russian. 
English summary) 92e:45011 

Vekua, N. P. Partial indices of the Hilbert boundary value problem for some unknown 
functions with rational coefficients. (Russian. English and Georgian summaries) 
92b:45008 

Wegert, Elias Boundary value problems and best approximation by holomorphic functions. 
92a:30035 

— On families of holomorphic functions with restricted boundary values. 92i:30032 

Yang, Pi Wen Riemann boundary value problems for functions of several complex variables 
in a generalized polycylinder domain. (Chinese. English summary) 92k:32012 

Zadina, Kh. U. see Auezbaeva, T. E. 

Zeng, Yue Sheng The Riemann problem for generalized hyperanalytic functions on a 
denumerable set of smooth closed curves. (Chinese. English summary) 92b:30055 

Zolotarevskii, V. A. * KoHedHoMepHbie MeTOLbI PelleHHA CHHTYIAPHBIX HHTeTPaJIbHbIX 
ypaBHeHHH Ha 34MKHYTBIX KOHTypax HHTerpuHposanua. (Russian) [Finite-dimensional 
methods for solving singular integral equations on closed integration contours] 
92h:45019 

Zorin, I. A. see Aksent'ev, L. A., 92h:30017 





in hydro- 








in two- and three- 





30E99 None of the above, but in this section 


Items with secondary classifications in 30E99 


Abgaryan, K. A. Holomorphic quasidiagonalization of a square matrix. (Russian) 
92g:15001 


Hedenmalm, Hakan Formal power series and nearly analytic functions. 92f:30003 


30Fxx Riemann surfaces 


30F Riemann surfaces 


30F10 Compact Riemann surfaces and uniformization 
[see also 14H15, 32G15] 


Alonso Gomez, A. J. (with Fernandez Arias, A.) The space of extensions of a Klein surface 
of finite genus. 92b:30048 

Cutillas Ripoll, Pascual On rings with a certain type of factorization and compact Riemann 
surfaces. 92b:30049 

Fernandez Arias, A. see Alonso Gomez, A. J., 92b:30048 

He, Yu Zan (with Zhao, Ru Han) BMOA and Ba spaces on compact bordered Riemann 
surfaces. 92m:30077 

Kimura, Hideyuki see Kuribayashi, Akikazu, 92e:30024 

Kulkarni, Ravi S. A note on Wiman and Accola-Maclachlan surfaces. 92j:30045 

Kuribayashi, Akikazu (with Kimura, Hideyuki) Automorphism groups, isomorphic to 
GL(3, F2), of compact Riemann surfaces. 92¢:30024 

Lyzzaik, Abdallah (with Stephenson, Kenneth) The structure of open continuous mappings 
having two valences. 92a:30040 

Matsuzaki, Katsuhiko A characterization of extended Schottky type groups with a remark to 
Ahlfors’ conjecture. 92h:30084 

Stephenson, Kenneth see Lyzzaik, Abdallah, 92a:30040 

Yamamoto, Hiro-o An example of a nonclassical Schottky group. 92m:30078 

Zhao, Ru Han see He, Yu Zan; et al., 92m:30077 

Zverovich, E. 1. On the possibility of an implicit construction of the global uniformization 
of an algebraic correspondence. (Russian) 92e:30025 


Items with secondary classifications in 30F10 

Beardon, Alan F. (with Stephenson, Kenneth) The uniformization theorem for circle 
packings. 92b:52038 

Bujalance, Emilio (with Gromadzki, Grzegorz) On nilpotent groups acting on Klein 
surfaces. 92g:20076 

Gromadzki, Grzegorz Supersoluble groups of automorphisms of nonorientable Riemann 
surfaces. 92¢:20037 

— On soluble groups of automorphism of Riemann surfaces. 92i:20052 

— see also Bujalance, Emilio, 92g:20076 

Hewitt, P.R. The paucity of “large” solvable groups. 92j:20048 

Iwasaki, Katsunori Moduli and deformation for Fuchsian projective connections on a 
Riemann surface. 92m:32039 

Kimura, Hideyuki On F-data of automorphism groups of compact Riemann surfaces. The 
case of As. 92j:30007 

— On automorphism groups of compact Riemann surfaces with prescribed group structure. 
92e:14027 

Kuiken, Kathryn (with Masterson, John T.) Monodromy groups of differential equations on 
Riemann surfaces of genus 1. 92b:34014 

Kulkarni, Ravi S. (with Maclachlan, Colin) Cyclic p-groups of symmetries of surfaces. 
92e:57052 

Kuz'mina, G. V. On the extremal partitioning of the Riemann sphere. (Russian) 92k:30010 

— On the extremal partitioning of an m-connected domain. (Russian) 92k:30011 

Maclachlan, Colin see Kulkarni, Ravi S., 92e:57052 

Manin, Yu. I. Three-dimensional hyperbolic geometry as oo-adic Arakelov geometry. 
92f:14019 

Masterson, John T. see Kuiken, Kathryn, 92b:34014 

Previato, Emma Another algebraic proof of Weil’s reciprocity. (Italian summary) 92j:14042 

Sato, Hiroki Classical Schottky groups of real type of genus two. II. 92j:32073 

Shiga, Hiroshige Hardy spaces and BMO on Riemann surfaces. 92j:30032 

Stephenson, Kenneth see Beardon, Alan F., 92b:52038 

Takhtadzhyan, L. A. (with Zograf, P.G.) The Selberg zeta function and a new Kahler 
metric on the moduli space of punctured Riemann surfaces. 92a:58149 

Yang, Kichoon Minimal immersions of punctured compact Riemann surfaces in R?. 
92g:53011 

Zograf, P.G. see Takhtadzhyan, L. A., 92a:58149 


30F15 Harmonic functions on Riemann surfaces 
Nakai, Mitsuru Dirichlet finite harmonic measures on Riemann surfaces. 92j:30046 


Items with secondary classifications in 30F15 


Heise, Ulrich Singular and fundamental solutions to potential and elasticity problems for a 
Riemann surface. 92¢:35031 


30F20 Classification theory of Riemann surfaces 


Hayashi, Mikihiro (with Nakai, Mitsuru; Segawa, Shigeo) Bounded analytic functions on 
two sheeted discs. 92m:30079 

Ishida, Hisashi see Maitani, Fumio, 92k:30063 

Maitani, Fumio (with Ishida, Hisashi) Meromorphic functions of bounded valence on an 
open Riemann surface. 92k:30063 

Nakai, Mitsuru see Hayashi, Mikihiro; et al., 92m:30079 

Segawa, Shigeo see Hayashi, Mikihiro; et al., 92m:30079 


30F25 Ideal boundary theory 


Items with secondary classifications in 30F25 


Masaoka, Hiroaki Theorems of Plessner and Riesz types for finely harmonic morphisms. 
92g:31013 


30F30 Differentials on Riemann surfaces 

Gustafsson, Bjérn (with Peetre, Jaak) Mdbius invariant operators on Riemann-surfaces. 
92c:30050 

Maitani, Fumio Variational formulas under C?-movements. 92f:30060 

Peetre, Jaak see Gustafsson, Bjorn, 92c:30050 





30F30 


Taniguchi, Masahiko Pinching deformation of arbitrary Riemann surfaces and variational 
formulas for abelian differentials. 92f:30061 


Items with secondary classifications in 30F30 

Bolibrukh, A. A. Construction of a Fuchsian equation from a monodromy representation. 
(Russian) 924:14008 

Farkas, Hershel M. (with Kra, Irwin) Branched two-sheeted covers. 92j:14041 

Gavrilov, Ljubomir (with Khorozov, E. I.) Limit cycles and zeroes of abelian integrals 
satisfying third order Picard-Fuchs equations. 92e:58167 

Guo, Han Ying see Wang, Shi Kun; et al., 92d:17024 

Khorozov, E. 1. see Gavrilov, Ljubomir, 92e:58167 

Koo, Ja Kyung On holomorphic differentials of some algebraic function field of one variable 
over C. 92¢:14019 

Kra, Irwin see Farkas, Hershel M., 92j:14041 

Masur, Howard (with Smillie, John) Hausdorff dimension of sets of nonergodic measured 
foliations. 92j:58081 

Matone, Marco Conformal field theory, real weight differentials and KdV equation in higher 
genus. 92d:58081 

Natanzon, S. M. Klein surfaces. (Russian) 92i:14029 

Shen, Jian Min see Wang, Shi Kun; et al., 92d:17024 

Smillie, John see Masur, Howard, 92j:58081 

Takhtadzhyan, L.A. (with Zograf, P.G.) The Selberg zeta function and a new Kahler 
metric on the moduli space of punctured Riemann surfaces. 92a:58149 

Tanigawa, Harumi Orbits and their accumulation points of cyclic subgroups of modular 
groups. 92f:32037 

Taniguchi, Masahiko The behavior of the extremal length function on arbitrary Riemann 
surface. 92m:30085 

Wang, Shi Kun (with Shen, Jian Min; Guo, Han Ying) The algebra of meromorphic vector 
fields with multiple poles on a Riemann surface and its realization by meromorphic /- 
differentials. I. (Chinese. English summary) 92d:17024 

Wentworth, Richard The asymptotics of the Arakelov-Green’s function and Faltings’ delta 
invariant. 92g:14019 

Zograf, P.G. see Takhtadzhyan, L. A., 92a:58149 


30F35 Fuchsian groups and automorphic functions 
[see also 11F xx, 20H10, 22E40, 32Gxx, 32Nxx] 


Aulaskari, Rauno (with Hayman, Walter K.; Lappan, Peter) An integral criterion for 
automorphic and rotation automorphic functions. 92h:30085 

— (with Lappan, Peter) Some results on BMOH and VMOH on Riemann surfaces. 
92m:30080 

Barrett, David E. Failure of averaging on multiply connected domains. (French summary) 
92b:30050 

Chetiya, B. P. Automorphism groups of compact Riemann surfaces. (see 92f:00027) 

Chibrikova, L.I. Application of the Cauchy type integrals and their generalizations in the 
theory of automorphic functions. 92m:30081 

Fernandez, José L. The limit set of Fuchsian and Kleinian groups. 92b:30051 

Gilman, Jane (with Maskit, B.) An algorithm for 2-generator Fuchsian groups. 92f:30062 

Hayman, Walter K. see Aulaskari, Rauno; et al., 92h:30085 

Kuribayashi, Akikazu see Kuribayashi, Izumi, 92a:30041 

Kuribayashi, Izumi (with Kuribayashi, Akikazu) Automorphism groups of compact 
Riemann surfaces of genera three and four. 92a:30041 

Lappan, Peter see Aulaskari, Rauno; et al., 92h:30085 and 92m:30080 

Maskit, B. see Gilman, Jane, 92f:30062 

Matsuzaki, Katsuhiko Geometric finiteness, quasiconformal stability and surjectivity of the 
Bers map for Kleinian groups. 92h:30086 

Morosawa, Shunsuke Invariant subsets of the limit set for a Fuchsian group. 92a:30042 


Items with secondary classifications in 30F35 


Broughton, S. Allen Classifying finite group actions on surfaces of low genus. 92b:57021 

Bujalance, Emilio (with Martinez, Ernesto) A note on NEC groups of surfaces with 
boundary. (Spanish) (see 92g:00024) 

Kulkarni, Ravi S. A finiteness theorem for planar discontinuous groups. 92a:57044 

Martinez, Ernesto see Bujalance, Emilio, (92g:00024) 

Ohtake, Hiromi Partially conformal qc mappings and the universal Teichmiiller space. 
92d:30031 

Patrushev, A. A. (with Sil’vestrov, V. V.) The Markushevich boundary value problem in 
a class of automorphic functions with respect to a Fuchsian group of the second kind. 
(Russian) (see 92e:00010) 

— The Markushevich boundary value problem in a class of automorphic functions with 
respect to a cyclic group of elliptic type. (Russian) (see 92f:00016) 

Sil'vestrov, V. V. see Patrushev, A. A., (92¢:00010) 

Wilkins, David R. Operators, Fuchsian groups, and automorphic bundles. 92h:47022 


30F40 Kleinian groups [see also 20H10] 


Anderson, James W. On the finitely generated intersection property for Kleinian groups. 
92i:30042 

Gehring, F.W. (with Martin, Gaven J.) Axial distances in discrete Mébius groups. 
92m:30082 

Gilman, Jane A geometric approach to Jorgensen’s inequality. 92¢:30051 

Hinkkanen, A. Sense-reversing generators of discrete convergence groups in the plane. 
92m:30083 

Isachenko, N. A. Uniformly quasiconformal discontinuous groups that are not isomorphic 
to Mobius groups. (Russian) 92f:30063 

Keen, Linda (with Series, Caroline) Pleating coordinates for the Teichmiiller space of a 
punctured torus. 92k:30064 

Kourouniotis, Christos Bending in the space of quasi-Fuchsian structures. 92b:30052 

Kurittu, Lassi Jordan curves as the limit point sets of Kleinian groups. 92a:30043 

Martin, Gaven J. see Gehring, F. W., 92m:30082 


FUNCTIONS OF A COMPLEX VARIABLE 


1992 416 


Neumann, Walter D. (with Reid, Alan W.) Amalgamation and the invariant trace field of a 
Kleinian group. 92b:30053 

Reid, Alan W. see Neumann, Walter D., 92b:30053 

Series, Caroline see Keen, Linda, 92k:30064 


Items with secondary classifications in 30F40 

Aebischer, Beat The limiting behavior of sequences of quasiconformal mappings. 
92d:30010 

Apanasov, B. N. Two kinds of deformations of conformal structure which are distinct from 
bendings. (see 92d:30002) 

— (with Gutsul, I. S.) Closed hyperbolic 3-manifolds of equal volume. (Russian) 92¢e:57025 

Cannon, J. W. (with Cooper, Daryl) A characterization of cocompact hyperbolic and finite- 
volume hyperbolic groups in dimension three. 92f:22017 

Cooper, Daryl see Cannon, J. W., 92f:22017 

Davies, E. B. (with Mandouvalos, N.) The hyperbolic geometry and spectrum of irregular 
domains. 92c:58148 

Feighn, Mark (with Mess, Geoffrey) Conjugacy classes of finite subgroups of Kleinian 
groups. 92a:57042 

Fernandez, José L. The limit set of Fuchsian and Kleinian groups. 92b:30051 

Frame, Michael (with Hefferon, James) Fractal dimensions of limit sets of some Kleinian 
groups. 92h:57017 

Gehring, F. W. (with Martin, Gaven J.) Inequalities for Mébius transformations and 
discrete groups. 92j:20047 

Gutsul, I.S. see Apanasov, B. N., 92e:57025 

Hefferon, James see Frame, Michael, 92h:57017 

Kapovich, M. E. (with Potyagailo, L. D.) On the absence of Ahlfors’ finiteness theorem for 
Kleinian groups in dimension three. 92j:57023 

Kuiken, Kathryn (with Masterson, John T.) Monodromy groups of differential equations on 
Riemann surfaces of genus 1. 92b:34014 

Mandouvalos, N. see Davies, E. B., 92c:58148 

Martin, Gaven J. see Gehring, F. W., 92j:20047 

Masterson, John T. see Kuiken, Kathryn, 92b:34014 

Matsuzaki, Katsuhiko A characterization of extended Schottky type groups with a remark to 
Ahifors’ conjecture. 92h:30084 

Mess, Geoffrey see Feighn, Mark, 92a:57042 

Potyagailo, L.D. see Kapovich, M. E., 92j:57023 

Sato, Hiroki Classical Schottky groups of real type of genus two. II. 92j:32073 

Seppala, Mika (with Sorvali, Tuomas) Traces of commutators of Mobius transformations. 
92k:20093 

Soma, Teruhiko 3-manifold groups with the finitely generated intersection property. 
92h:57001 

Sorvali, Tuomas see Seppala, Mika, 92k:20093 

Yamamoto, Hiro-o An example of a nonclassical Schottky group. 92m:30078 


30F45 Conformal metrics (hyperbolic, Poincaré, distance 
functions) 


Troyanov, Mare Coordonnées polaires sur les surfaces riemanniennes singuliéres. (English 
summary) [Polar coordinates on singular Riemann surfaces] 92d:30029 


Items with secondary classifications in 30F45 

Canary, Richard D. The Poincaré metric and a conformal version of a theorem of Thurston. 
92k:57020 

Hu, Zhang Jian The BMO, and Bloch functions on two-connected planar domains. 
(Chinese. English summary) 92k:30052 

Papadimitrakis, M. On convexity of level curves of harmonic functions in the hyperbolic 
plane. 92f:31002 


30F50 Klein surfaces 


May, Coy L. Complex doubles of bordered Klein surfaces with maximal symmetry. 
92d:30030 


Items with secondary classifications in 30F50 

Bujalance, Emilio (with Etayo Gordejuela, José Javier; Gamboa, José M.; Gromadzki, 
Grzegorz) * Automorphism groups of compact bordered Klein surfaces. 92a:14018 

Etayo Gordejuela, José Javier see Bujalance, Emilio; et al., 92a:14018 

Gamboa, José M. see Bujalance, Emilio; et al., 92a:14018 

Gromadzki, Grzegorz see Bujalance, Emilio; et al., 92a:14018 


30F60 Teichmiiller theory [see also 32G15] 


Apanasov, B. N. Two kinds of deformations of conformal structure which are distinct from 
bendings. (see 92d:30002) 

Earle, Clifford J. (with Sipe, Patricia L.) Families of Riemann surfaces over the punctured 
disk. 92j:30047 

Estévez, José L. Pairs of nonnormal NEC signatures. (Spanish. English summary) (see 
92m:00050) 

Hamilton, D. H. The closure of Teichmiiller space. 92m:30084 

Ohtake, Hiromi Partially conformal qc mappings and the universal Teichmiiller space. 
924:30031 


Sipe, Patricia L. see Earle, Clifford J., 92j:30047 
Taniguchi, Masahiko The behavior of the extremal length function on arbitrary Riemann 
surface. 92m:30085 


Items with secondary classifications in 30F60 


Bojarski, Bogdan Old and new on Beltrami equations. (see 92i:00023) 

Chen, Min Decompositions of Teichmiiller space by geodesic length mappings. 92h:32037 

Dethloff, Gerd Deformation of compact Riemann surfaces with distinguished points. 
92i:32020 





417 1992 


Gardiner, Frederick P. (with Masur, Howard) Extremal length geometry of Teichmiilier 
space. 92:32034 

Keen, Linda (with Series, Caroline) Pleating coordinates for the Teichmiiller space of a 
punctured torus. 92k:30064 

Ko, Seok-ku Teichmiiller theory, its new and old. (Korean summary) 92g:32043 

Krushkal’, S. L. Strengthening pseudoconvexity of finite-dimensional Teichmiiller spaces. 
92g:32044 

Lohkamp, Jochen Harmonic diffeomorphisms and Teichmiiller theory. 924:32027 

Masur, Howard see Gardiner, Frederick P., 92f:32034 

Minsky, Yair N. Harmonic maps into hyperbolic 3-manifolds. 92j:58027 

Nag, Subhashis Self-dual connections, hyperbolic metrics and harmonic mappings on 
Riemann surfaces. 92m:58027 

— A period mapping in universal Teichmiiller space. 92h:32039 

Nakanishi, Toshihiro (with Velling, John A.) On inner radii of Teichmiiller spaces. 
92g:32045 

Papadopoulos, Athanase D. (with Penner, Robert C.) La forme symplectique de Weil- 
Petersson et le bord de Thurston de l’espace de Teichmiiller. [The Weil-Petersson 
symplectic form and the Thurston boundary of Teichmiiller space] 92e:57023 

— On Thurston’s boundary of Teichmiiller space and the extension of earthquakes. 
92i:57013 

Pekonen, Osmo Quasidisks and string theory. 92e:32013 

Penner, Robert C. Integration over the moduli space of Riemann surfaces. (see 92i:81012) 

— see also Papadopoulos, Athanase D., 92e:57023 

Series, Caroline see Keen, Linda, 92k:30064 

Tanigawa, Harumi Orbits and their accumulation points of cyclic subgroups of modular 
groups. 92f:32037 

Uehara, Shozo (with Yasui, Yukinori) On the symplectic geometry of the super Teichmiiller 
space. 92m:32037 

Veech, William A. Moduli spaces of quadratic differentials. 92e:32014 

Velling, John A. see Nakanishi, Toshihiro, 92g:32045 

Yasui, Yukinori see Uehara, Shozo, 92m:32037 


30F99 None of the above, but in this section 


Bujalance, J. A. Orders of the automorphisms of Klein surfaces with boundary, of 
topological genus two. (Spanish) (see 92g:00024) 

Jarnicki, Marek (with Tworzewski, Piotr) A note on holomorphic mappings with two fixed 
points. 92b:30054 

Krélikowski, Wieslaw Some biholomorphic invariants on Riemann surfaces connected with 
the relative homologies. (see 92d:30002) 

Mochalov, V. V. Meromorphic analogues of the Cauchy kernel on an open Riemann surface. 
(Russian) (see 92e:00010) 

Nasyrov, S. R. Bicompactness of spaces of Riemann surfaces in the topology induced by 
convergence to the kernel. (Russian) 92j:30048 

Set’ko, E. A. Riemann surfaces of regular 6n-gons. (Russian) 92h:30087 

Tworzewski, Piotr see Jarnicki, Marek, 92b:30054 


Items with secondary classifications in 30F99 

Beardon, Alan F. (with Stephenson, Kenneth) The uniformization theorem for circle 
packings. 92b:52038 

Bolte, J. (with Steiner, F.) Flux quantization and quantum mechanics on Riemann surfaces 
in an external magnetic field. 92j:81049 

Buser, Peter (with Courtois, Gilles) Finite parts of the spectrum of a Riemann surface. 
92¢:58146 

Chekhov, L. (with Zabrodin, A.) A critical matrix model for nonoriented string. 
92m:81199 

Courtois, Gilles see Buser, Peter, 92c:58146 

Cutillas Ripoll, Pascual On the discrete valuations of certain function fields over compact 
Riemann surfaces. 92g:14020 

Ferrari, Franco Bosonization techniques on algebraic curves and conformal field theories. 
92m:81242 

Gelca, Razvan On Schur’s algorithm for holomorphic functions on Riemann surfaces. 
92h:30032 

Goldberg, Lisa R. Catalan numbers and branched coverings by the Riemann sphere. 
92b:14014 

Guo, Han Ying (with Shen, Jian Min; Wang, Shi Kun; Xu, Kai Wen) Beltrami algebra and 
symmetry of the Beltrami equation on Riemann surfaces. 92a:32023 

Jenkins, James A. On analytic paths. 92m:30046 

Ko, Seok-ku Teichmiiller theory, its new and old. (Korean summary) 92g:32043 

Liebeck, Martin W. (with Saxl, Jan) Minimal degrees of primitive permutation groups, 
with an application to monodromy groups of covers of Riemann surfaces. 92f:20003 

Liu, Xiang Yang (with Minda, David) Monotonicity of hyperbolic curvature under 
univalent mappings. 92k:30012 

Marden, Al (with Rodin, Burt) On Thurston’s formulation and proof of Andreev’s 
theorem. 92b:52040 

Minda, David see Liu, Xiang Yang, 92k:30012 

Monakhov, V. N. (with Semenko, E. V.; Verkhovod, D. B.) Boundary value problems for 
conjugation of quasi-analytic functions on compact Riemann surfaces. 92m:30075 

Nakai, Mitsuru Functions of Hardy-Orlicz class on Riemann surfaces. 92m:30069 

Radul, A. O. (with Vaisburd, I. D.) (b,c) systems on Klein surfaces. 92j:81300 

Rasetti, Mario G. The mapping class group in statistical mechanics: a concise review. 
92j:82015 

Rodin, Burt see Marden, Al, 92b:52040 

Sadov, V. A. Bases on multipunctured Riemann surfaces and interacting strings amplitudes. 
92¢:81069 

Saxi, Jan see Liebeck, Martin W., 92:20003 

Schilling, Randolph James The augmented divisor and isospectral pairs. 92f:58137 

Semenko, E. V. see Monakhov, V. N.; et al., 92m:30075 

Shen, Jian Min see Guo, Han Ying; et al., 92a:32023 


30G Generalized function theory 


30G20 


Sobezyk, Jan (with Urbanik, W.) A canonical form of an algebraic equation for genus 3 
Riemann surfaces. 92h:14017 

Steiner, F. see Bolte, J., 92j:81049 

Stephenson, Kenneth see Beardon, Alan F., 92b:52038 

Taniguchi, Masahiko The behavior of the extremal length function on arbitrary Riemann 
surface. 92m:30085 

Urbanik, W. see Sobczyk, Jan, 92h:14017 

Vaisburd, I. D. see Radul, A. O., 92j:81300 

de Verdiere, Yves Colin Un principe variationnel pour les empilements de cercles. [A 
variational principle for circle packings] 92h:57020 

Verkhovod, D. B. see Monakhov, V. N.; et al., 92m:30075 

Wang, Shi Kun see Guo, Han Ying; et al., 92a:32023 

Xu, Kai Wen see Guo, Han Ying; et al., 92a:32023 

Zabrodin, A. see Chekhov, L., 92m:81199 


30Gxx Generalized function theory 


30G06 Non-Archimedean function theory [see also 12325]; 
nonstandard function theory [see also 03H05] 


Diarra, Bertin see Escassut, Alain, 92a:30044 

Escassut, Alain Eléments analytiques non constants a dérivée nulle. [Nonconstant analytic 
elements with zero derivative] (see 92h:00018) 

— (with Diarra, Bertin) Analytic elements with a null derivative on an infraconnected open 
set. 92a:30044 


Items with secondary classifications in 30G06 


Escassut, Alain Dimension de l’espace des solutions de l’équation y’ = fy sur un infracon- 
nexe et prolongement 4 travers un T-filtre. [Dimension of the space of solutions of the 
equation y’ = fy on an infraconnected subset and extension via a T-filter] 92d:12015 

— Integrally closed algebras of analytic elements. 92f:46095 

— (with Sarmant-Durix, Marie-Claude) The equation y’ = fy in zero residue characteristic. 
92f:46094 

Ha Huy Khodi La hauteur d’une suite de points dans C et interpolation des fonctions 
holomorphes de plusieurs variables. (English summary) [Heights for sequences of points 
in e and interpolation of holomorphic functions of several variables] 92k:32062 

Hoskins, Roy Frank (with de Sousa Pinto, J.) A nonstandard realization of the J. S. Silva 
axiomatic theory of distributions. 92j:46066 

Karlowski, Reinhard (with Ullrich, Peter) A Tate-theoretic view of Krasner’s non- 
Archimedean function theory. 92b:12016 

Kuribayashi, Yukio Hyperfunctions and generalized functions. 92k:46068 

Sarmant-Durix, Marie-Claude see Escassut, Alain, 92f:46094 

de Sousa Pinto, J. see Hoskins, Roy Frank, 92j:46066 

Todorov, Todor D. Pointwise kernels of Schwartz distributions. 92f:46047 

Ullrich, Peter see Karlowski, Reinhard, 92b:12016 


30G12 Finely holomorphic functions and topological function 
theory 


Andreian Cazacu, Cabiria On Stoilow’s local inversion theorem for interior transformations. 
92g:30043 


30G15 Topological function theory 


Items with secondary classifications in 30G15 
Rippon, P. J. Asymptotic values of continuous functions in Euclidean space. 92k:30051 


30G20 Generalizations of Bers or Vekua type (pseudoanalytic, 
p-analytic, etc.) 

Kudrik, P.I. A boundary value problem for x?-analytic functions. (Russian. Ukrainian 
summary) 92¢:30052 

Safarov, D.S. Doubly periodic generalized analytic functions. (Russian) 92h:30088 

Tungatarov, A. A class of continuous solutions of the Carleman-Vekua equation with a 
singular point. (Russian. Kazakh summary) 

Withalm, Claudio Supplierende pseudoholomorphe Funktionen. (English summary) 
[Supplementary pseudoholomorphic functions] 92a:30045 

Zeng, Yue Sheng The Riemann problem for generalized hyperanalytic functions on a 
denumerable set of smooth closed curves. (Chinese. English summary) 92b:30055 


Items with secondary classifications in 30G20 


Begehr, Heinrich G. W. see Wen, Guo Chun, 92a:35002 

Dzhuraev, A. D. Elliptic systems on the plane with discontinuous coefficients, and their 
applications. (Russian) 92b:35052 

Ilievski, Borko A theorem on the analytic solution of a first-order p-differential equation 
with an analytic right-hand side. (Macedonian. Russian summary) 92j:34007 

Isakhanov, R.S. A boundary value problem of linear conjugation for solutions of systems of 
differential equations of elliptic type. (Russian. English and Georgian summaries) 

Kreyszig, Erwin Bergman-Vekua theory in differential form. 92i:35030 

Levinskii, S. V. A boundary value problem for functions that are polyanalytic in some 
multiply connected domains. (Russian) 92a:30038 

Lupu, Mircea Obtained and study of equations in magnetogasdynamics of axially 
symmetric or plane jets, using generalized analytic functions. (see 92h:30001) 

Monakhov, V. N. (with Semenko, E. V.; Verkhovod, D. B.) Boundary value problems for 
conjugation of quasi-analytic functions on compact Riemann surfaces. 92m:30075 

Piven’, V. F. The method of axisymmetric generalized analytic functions in the investigation 
of dynamic processes. (Russian) 92g:73019 





30G20 


Schiff, J. L. (with Walker, W. J.) Potential theory for the Yukawa equation. 92j:31003 

Semenko, E. V. see Monakhov, V. N.; et al., 92m:30075 

Shirokova, E. A. Solution of an interior inverse boundary value problem for the Beltrami 
equation with respect to the parameter s by reduction to integral equations. (Russian) 
92g:30042 

Verkhovod, D. B. see Monakhov, V. N.; et al., 92m:30075 

Walker, W. J. see Schiff, J. L., 92j:31003 

Wen, Guo Chun (with Begehr, Heinrich G. W.) * Boundary value problems for elliptic 
equations and systems. 92a:35002 


30G30 Other generalizations of analytic functions (including 
abstract-valued functions) 


Barcenas, Diomedes (with Colasante, Maria Luisa) A note about the maximum principle. 
92a:30046 

Colasante, Maria Luisa see Barcenas, Diomedes, 92a:30046 

Gudovich, I. S. Holomorphic vector functions that depend on an arbitrary number of real 
variables. (Russian) (see 92a:00033) 

Karunakaran, V. (with Subbulakshmi, S.) A generalized Rudin-Carleson theorem. 
92:30064 

Kovalév, V. F. A mixed boundary value problem for analytic functions of a biharmonic 
variable for a half-plane. (Russian) (see 92d:00010) 

Nurubloev, M. On a generalization of a holomorphic vector. (Russian. Tajiki summary) 

Subbulakshmi, S. see Karunakaran, V., 92f:30064 

Tonev, Toma V. On the I-entire functions. (see 92b:00048) 


Items with secondary classifications in 30G30 

Baribeau, Line (with Harbottle, Sarah) Two new open mapping theorems for analytic 
multivalued functions. 92j:32039 

Bernal, Antonio (with Cerda, Joan) Analyticity and quasi-Banach valued functions. 
92¢:46048 

Cerda, Joan see Bernal, Antonio, 92e:46048 

Dimitrovski, Dragan see Rajovi¢, Miloje, 92i1:34006 

Harbottle, Sarah see Baribeau, Line, 92j:32039 

Poreda, Tadeusz On generalized differential equations in Banach spaces. 92i:34079 

Rajovi¢, Miloje (with Dimitrovski, Dragan) Sur la méthode de l’intégrale généralisée de 
Laplace appliquée aux équations aréolaires linéaires. (Serbo-Croatian summary) [The 
Laplace generalized-integral method applied to linear areolar equations] 92i:34006 

Stern, I. Boundary value problems for generalized Cauchy-Riemann systems in the space. 
92k:35053 

Vinogradov, V.S. Spinor systems. (Russian) 92j:35155 


30G35 Functions of hypercomplex variables and generalized 
variables 


Abul-Ez, M. A. (with Constales, Denis) Linear substitution for basic sets of polynomials in 
Clifford analysis. 92j:30049 

Burlakov, M. P. (with Pokazeev, V. V.; Freidenzon, L. E.) Integral representations of 
functions with values in the Dirac algebra. (Russian) (see 92e:00010) 

Constales, Denis see Abul-Ez, M. A., 92j:30049 

Dzhuraev, A. D. The Cauchy problem for nohomogeneous Cauchy-Riemann systems. 
(Russian) 92m:30086 

Fang, Ai Nong On the basic formulas and Vahlen’s theorem of the Mébius transformations 
acting in R". (Chinese summary) 92b:30056 

Freidenzon, L. E. see Burlakov, M. P.; et al., (92e:00010) 

Gheorghiev, Gheorghe L’évolution de la dérivée aréolaire en analyse hypercomplexe. 
[Evolution of the areal derivative in hypercomplex analysis] 

Goldschmidt, Bernd Clifford analysis. (see 92i:00023) 

Huang, Sha A nonlinear boundary value problem with Hasemann shift in Clifford analysis. 
(Chinese. English summary) 92k:30065 

Inenaga, Yoshikazu see Néno, Kiyoharu, 92j:30050 

Malonek, Helmuth Power series representation for monogenic functions in R”*+! based on a 
permutational product. 92f:30065 

— (with Miiller, Bernd) Zur Giiltigkeit eines Satzes vom Phragmén-Lindeléfschen Typ 
fiir Lésungen einer verallgemeinerten Beltramigleichung im R”*!. [On the validity of 
a Phragmén-Lindel6f-type theorem for solutions of a generalized Beltrami equation in 
R”*+!) 92m:30087 

— (with Wirthgen, Bernd) Zur Ubertragung des Goursatschen Beweises des Cauchyschen 
Integralsatzes auf hyperkomplex differenzierbare Funktionen im R”*!. [On the transfer 
of the Goursat proof of Cauchy’s integral theorem to hypercomplex differentiable 
functions in R”*'} 

McIntosh, Alan G. R. Clifford algebras and the higher-dimensional Cauchy integral. 
924:30032 

Miiller, Bernd see Malonek, Helmuth, 92m:30087 

Nono, Kiyoharu (with Inenaga, Yoshikazu) Characterization of Runge domains for 
hyperholomorphic functions. 92j:30050 

Pertici, Donato Traces de fonctions réguliéres de plusieurs variables quaternionniennes. 
(English summary) [Traces of regular functions of several quaternionic variables] 
92b:30057 

— Trace theorems for regular functions of several quaternion variables. 92i:30043 

Pokazeev, V. V. see Burlakov, M. P.; et al., (92e:00010) 

Price, G. Baley * An introduction to multicomplex spaces and functions. 92a:30047 

Rogculet, Marcel N. Monogenic functions on noncommutative algebras. II. Monogenic 
functions on the algebra %g = A; x A2 x N;. (Romanian. French summary) 92i:30044 

Ryan, John Domains of holomorphy as initial data for Dirac equations in C”. 92j:30051 

— Inner product algebras and the function theory of associated Dirac operators. 92k:30066 

— Plemelj formulae and transformations associated to plane wave decompositions in 
complex Clifford analysis. 92i:30045 


FUNCTIONS OF A COMPLEX VARIABLE 


1992 418 


Semmes, Stephen Differentiable function theory on hypersurfaces in R” (without bounds on 
their smoothness). 92m:30088 

— Analysis vs. geometry on a class of rectifiable hypersurfaces in R"”. 92m:30089 

Shapiro, M. V. Structure of the quaternionic modules and some properties of the involutive 
operators. 92m:30090 

— see also Vasilevskii, N. L., (92d:30002) 

Spréssig, W. On a class of nonlinear boundary and eig) lue problems. 92m:30091 

Straubel, Klaus-Peter A note on some monogenicity criterions arising in Clifford analysis. 
92g:30044 

(Taussky, Olga) see Price, G. Baley, 92a:30047 

Vasilevskii, N. L. (with Shapiro, M. V.) Some questions of hypercomplex analysis. (see 
92d:30002) 

Wada, Masaaki Conjugacy invariants of Mébius transformations. 92a:30048 

Weisz, Juan F. Comments on mathematical analysis over quaternions. 92h:30089 

Wirthgen, Bernd see Malonek, Helmuth 





Items with secondary classifications in 30G35 

Grigoryan, Souren Arshakovich Generalized meromorphic functions. (Russian. Armenian 
summary) 92j:46093 

Huang, Sha (with Li, Sheng Xun) On oblique derivative problem for generalized regular 
functions with values in a real Clifford algebra. (see 92a:00039) 

Kovalév, V. F. (with Melnichenko, I. P.) Algebras of functionally invariant solutions of the 
p-harmonic equation. (Russian) 92j:31013 

Li, Sheng Xun see Huang, Sha, (92a:00039) 

Melnichenko, I. P. see Kovalév, V. F., 92j:31013 

Néno, Kiyoharu Characterization of linearizations of a differential operator of second order 
and function theory. 92m:35043 

— On the linearization of a partial differential operator. 92j:35026 

Ryan, John Applications of Clifford analysis to axially symmetric partial differential 
equations. 92d:35060 

Wen, Guo Chun Clifford analysis and elliptic systems, hyperbolic systems of first order 
equations. (see 92a:00039) 

Xu, Zhen Yuan! On linear and nonlinear Riemann-Hilbert problems for regular function 
with values in a Clifford algebra. 92i:30041 

— The dual of Mj (r)(Q; Cm). 92b:35035 

Zeng, Yue Sheng A note on a solution to the four-dimensional Liouville equation. (Chinese. 
English summary) 


30G99 None of the above, but in this section 


Items with secondary classifications in 30G99 

Capocasa, F. (with Catanese, Fabrizio) Periodic meromorphic functions. 92e:14043 

Catanese, Fabrizio see Capocasa, F., 92e:14043 

Pu, De Qian Function-theoretic process of hyperbolic equations. (see 92a:00039) 

Shirinbekov, M. On the theory of the generalized Cauchy-Riemann system in two complex 
variables. (Russian) 92m:32010 


30HO5 Spaces and algebras of analytic functions 
[see also 32E25, 46Exx, 46J15] 


Korenblum, Boris Transformation of zero sets by contractive operators in the Bergman 
space. 92a:30049 

Lou, Zeng Jian Multipliers of H?, G? and Bloch spaces. 92j:30052 

Oskolkov, V. A. A criterion for a quasipower basis and its application. (Russian) 92c:30053 

Pérez-Gonzalez, Fernando On quotients of bounded analytic functions. (see 92b:00044) 

Poltoratskii, A.G. Marshall’s theorem for functions that are continuous almost everywhere. 
(Russian. English summary) 92j:30053 

Skwarczyriski, Maciej L?-angles and the Genchev transform. (see 92d:30002) 

— The punctured plane: alternating projections and L?-angles. 92k:30067 

Timofeev, A. Yu. Die Differentialideale im Ring der ganzen Funktionen, die bei 
vorgegebener Ordnung Minimaltyp besitzen. [The differential ideals in the ring of entire 
functions which at given order have minimal type] 92i:30046 

Xiao, Jie! Bounded projection, harmonic conjugation and completeness of {(1 — @jz)~°~'} 
in L?(g). (Chinese summary) 92f:30066 


Items with secondary classifications in 30H05 

Akeroyd, John Density of the polynomials in the Hardy space of certain slit domains. 
92}j:30030 

Anderson, James Milne (with Fernandez, José L.; Shields, A. L.) Inner functions and cyclic 
vectors in the Bloch space. 92f:46063 

Antonevich, A. B. (with Khristova, M. S.) Operators generated by generalized Hardy- 
Littlewood operators. (Russian. English summary) 924:47043 

Arias de Reyna Martinez, Juan (with Duran Guardefo, Antonio J.) Some results about the 
space A~@ of analytic functions. 92¢:46047 

Batikyan, B. T. (with Grigoryan, Souren Arshakovich) Uniform algebras that contain 
A(K). (Russian. English and Armenian summaries) 92b:46078 

Bear, H.S. Part metric and hyperbolic metric. 92k:51029 

Blasco De La Cruz, Oscar (with De Souza, Geraldo Soares) Spaces of analytic functions on 
the disc where the growth of M,(F,r) depends on a weight. 92¢:46051 

Brown, Leon Invertible elements in the Dirichlet space. 92¢:46054 

— (with Shields, A. L.) Multipliers and cyclic vectors in the Bloch space. 92f:46022 

Chojnacki, Wojciech On some functionals on Bergman spaces. (Russian summary) 
92b:46027 

Clancey, Kevin F. Representing measures on multiply connected planar domains. 
92¢:46110 

Cwikel, Michael (with McCarthy, John E.; Wolff, Thomas H.) Interpolation between 
weighted Hardy spaces. 92m:46033 

Davis, B. Mark (with McCarthy, John E.) Multipliers of de Branges spaces. 92k:46034 





419 1992 


De Souza, Geraldo Soares see Blasco De La Cruz, Oscar, 92¢:46051 

Duran Guardeiio, Antonio J. see Arias de Reyna Martinez, Juan, 92¢:46047 

Fernandez, José L. see Anderson, James Milne; et al., 92f:46063 

Ghatage, Pratibha G. (with Sun, Shun Hua; Zheng, De Chao) A remark on Bourgain 
algebras on the disk. 92¢:46108 

Gorkin, Pamela (with Izuchi, Keiji) Some counterexamples in subalgebras of L®(D). 
92m:46074 

— (with Mortini, Raymond) Interpolating Blaschke products and factorization in Douglas 
algebras. 92b:46083 

Grigoryan, Souren Arshakovich see Batikyan, B. T., 92b:46078 

Ha Huy Khoi (with Nguyén Van Khué) Finite codimensional subalgebras of Stein algebras 
and semiglobally Stein algebras. 92f:32020 

Hoffman, Kenneth M. * Banach spaces of analytic functions. 924:46066 

Hunziker, Herbert (with Jarchow, Hans; Mascioni, Vania) Some topologies on the space of 
analytic self-maps of the unit disk. 92k:47059 

Ivanov, O. V. Generalized Douglas algebras and the corona theorem. (Russian) 92k:46083 

Izuchi, Keiji Interpolating sequences in the maximal ideal space of H®. 92m:30071 

— see also Gorkin, Pamela, 92m:46074 

Jarchow, Hans see Hunziker, Herbert; et al., 92k:47059 

Khristova, M.S. see Antonevich, A. B., 92d:47043 

Kobayashi, Shoji! On subordination for BMOA. 924:30022 

Komal, B.S. (with Singh, Prem Sagar) Composition operators on the space of entire 
functions. 92h:47039 

Krasichkov-Ternovskii, I. F. Abstract methods for the local description of closed submod- 
ules of analytic functions. (Russian) 92¢:46112 

Kuzbekov, T. T. An interpolation problem in a space of entire functions. (Russian) (see 
92f:00019) 

— Some ideals in rings of entire functions. (Russian) 92d:32007 

Laroco, Leonardo A., Jr. Stable rank and approximation theorems in H™. 92a:46059 

LeBlanc, Emile A probabilistic zero set condition for the Bergman space. 92a:30006 

Lotto, B. A. (with Sarason, Donald) Multiplicative structure of de Branges’s spaces. 
92k:46035 

Lutsenko, V.1. (with Yulmukhametov, R.S.) Generalizations of the Wiener-Paley theorem 
to functionals in Smirnov spaces. (Russian) 92j:46048 

Martin, Reiner On the ideal structure of the Nevanlinna class. 92¢:46059 

Marzuq, Maher M. H. Linear functionals on some weighted Bergman spaces. 92h:30073 

Mascioni, Vania see Hunziker, Herbert; et al., 92k:47059 

McCarthy, John E. see Davis, B. Mark, 92k:46034 and Cwikel, Michael; et al., 92m:46033 

Mortini, Raymond Closed and prime ideals of weak Bezout type in H™®. 92k:46085 

— see also Gorkin, Pamela, 92b:46083 

Nagnibida, N. I. On the equivalence of composite operators to a double differentiation 
operator. (Russian) 92i:47034 

Nara, Chié Uniqueness of the predual of the Bloch space and its strongly exposed points. 
92c:46023 

Nguyén Van Khué see Ha Huy Khodi, 92f:32020 

Nie, Fu Sheng Some harmonic analysis properties of block functions and their applications 
to H,. (Chinese. English summary) 92h:30074 

Raichinov, I. (with Raichinov, R. I.) On linear operators acting in spaces of analytic 
functions and commuting with Euler’s operator. 924:46064 

Raichinov, R.I. see Raichinov, I., 92d:46064 

Rovnyak, James A vector extension of Loewner’s differential equation. 92h:30016 

Sarason, Donald Composition operators as integral operators. 92a:47040 

— see also Lotto, B. A., 92k:46035 

Shields, A. L. see Brown, Leon, 92f:46022 and Anderson, James Milne; et al., 92f:46063 

Singh, Prem Sagar see Komal, B. S., 92h:47039 

Sinha, P.C. Some results on a Banach algebra of a class of Dirichlet series. 92m:30005 

Sun, Shun Hua see Ghatage, Pratibha G.; et al., 92¢:46108 

Vasin, A. V. Projections on L?-spaces of polyanalytic functions. (Russian. English 
summary) 92¢:46060 

Wang, Jian Finitely generated closed ideals of H®. (Chinese) 92m:46078 

Wojtaszczyk, P. On multipliers into Bergman spaces and Nevanlinna class. 92¢:30020 

Wolff, Thomas H. see Cwikel, Michael; et al., 92m:46033 

Wulan, Hasi Some characteristics of Bloch spaces. (Chinese. English summary) 92h:46031 

Yulmukhametov, R.S. see Lutsenko, V. I., 92j:46048 

Zaslavskaya, M. 1. Some representations of uniform algebras on the unit circle and 
polytorus. (Russian. English and Armenian summaries) 92g:46067 

Zheng, De Chao see Ghatage, Pratibha G.; et al., 92e:46108 

Zhong, Le Fan Interpolation polynomial approximation in Bergman spaces. (Chinese) 
92j:30038 


31-XX_ Potential theory {For probabilistic 
potential theory, see 60J45.} 


31-02 Research exposition (monographs, survey articles) 


Items with secondary classifications in 31-02 

Getoor, R. K. *% Excessive measures. 921:60135 

Gol‘dshtein, V. M. (with Reshetnyak, Yu. G.) * Quasiconformal mappings and Sobolev 
spaces. 92h:46040 

(Korneeva, O. N.) see Gol/dshtein, V. M., 92h:46040 

Reshetnyak, Yu. G. see Gol‘dshtein, V. M., 92h:46040 


POTENTIAL THEORY 


31-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 31-03 

Bemelmans, Josef (with Hildebrandt, Stefan; von Wahl, Wolf) Partielle Differentialgle- 
ichungen und Variationsrechnung. [Partial differential equations and calculus of varia- 
tions] 92e:01050 

Berg, Christian (with Liitzen, Jesper) J. Liouville’s unpublished work on an integral 
operator in potential theory. A historical and mathematical analysis. 92a:01036 

Beurling, Arne * The collected works of Arne Beurling. Vol. 1. 92k:01046a 

— * The collected works of Arne Beurling. Vol. 2. 92k:01046b 

(Carleson, Lennart) see Beurling, Arne, 92k:01046a and 92k:01046b 

Hildebrandt, Stefan see Bemelmans, Josef; et al., 92¢:01050 

(Liouville, J.) see Berg, Christian, 92a:01036 

Liitzen, Jesper see Berg, Christian, 92a:01036 

(Malliavin, Paul) see Beurling, Arne, 92k:01046a and 92k:01046b 

(Neuberger, John W.) see Beurling, Arne, 92k:01046a and 92k:01046b 

von Wahl, Wolf see Bemelmans, Josef; et al., 92e:01050 

(Wermer, John) see Beurling, Arne, 92k:01046a and 92k:01046b 


Items listed otherwise than by author 
Collected Works: 
Beurling, Arne see Beurling, Arne, 92k:01046a and 92k:01046b 


31-06 Proceedings, conferences, collections, etc. 
(Kishi, Masanori) see Potential theory, 92m:31001 


Items listed otherwise than by author 
Conference: 

Potential Theory * Potential theory. 92m:31001 
Nagoya * Potential theory. 92m:31001 
Potential theory * Potential theory. 92m:31001 


Items with secondary classifications in 31-06 

(Dahlberg, B.) see Partial differential equations with minimal smoothness and applications, 
92m:00047 

(Fabes, Eugene B.) see Partial differential equations with minimal smoothness and applica- 
tions, 92m:00047 

(Fefferman, R.) see Partial differential equations with minimal smoothness and applications, 
92m:00047 

(Jerison, David) see Partial differential equations with minimal smoothness and applications, 
92m:00047 

(Kenig, Carlos E.) see Partial differential equations with minimal smoothness and applica- 
tions, 92m:00047 

(Pipher, Jill) see Partial differential equations with minimal smoothness and applications, 
92m:00047 


Items listed otherwise than by author 

Chicago, IL * Partial differential equations with minimal smoothness and applications. 
92m:00047 

Conference: 
Partial Differential Equations with Minimal Smoothness and Applications * Partial 

differential equations with minimal smoothness and applications. 92m:00047 

Partial differential equations with minimal smoothness and applications * Partial differential 

equations with minimal smoothness and applications. 92m:00047 


31Axx Two-dimensional theory 


31A05 Harmonic, subharmonic, superharmonic functions 


Antonino, José A. (with Vidal, Antonio) Properties of the Bloch space of harmonic 
functions. (Spanish. English summary) (see 92b:00044) 

Bafuelos, Rodrigo (with Klemes, I.; Moore, Charles N.) The lower bound in the law of the 
iterated logarithm for harmonic functions. 92d:31001 

Epifanov, O. V. Subharmonic continuation of subharmonic functions and separation of 
singularities of analytic functions. (Russian) (see 92f:00019) 

Hayman, Walter K. Atomic decompositions. 92a:31001 

— (with Lyons, Terry) Bases for positive continuous functions. 92a:31002 

Hengartner, Walter (with Schober, Glenn) Univalent harmonic exterior and ring mappings. 
92g:31001 

Khabibullin, B. N. Balayage for a system of rays and entire functions of completely regular 
growth. (Russian) 92i:31001 

Klemes, I. see Baiuelos, Rodrigo; et al., 92d:31001 

Lyons, Terry see Hayman, Walter K., 92a:31002 

Lyzzaik, Abdallah On the valence of some classes of harmonic maps. 92f:31001 

Moore, Charles N. see Baiiuelos, Rodrigo; et al., 92d:31001 

Mora Martinez, Gaspar Interpolation in spaces of harmonic functions with asymptotic 
expansions. (Spanish. English summary) 92c:31001 

Papadimitrakis, M. On convexity of level curves of harmonic functions in the hyperbolic 
plane. 92f:31002 

Randol, Burton Some remarks on the stability of a property related to the mean value 
theorem for harmonic functions. 92c:31002 

Schober, Glenn see Hengartner, Walter, 92g:31001 

Urtenov, N.S. Lower bounds for subharmonic functions of finite order. (Russian) 

Vidal, Antonio see Antonino, José A., (92b:00044) 

Watson, N. A. Mean values and thermic majorization of subtemperatures. 92k:31001 





31A05 


Items with secondary classifications in 31A05 


Andrievskii, V. V. Contour-solid properties of harmonic functions. (Russian) 92i:31002 

Camera, G. A. Integral and subharmonic functions bounded outside thin sets. 92f:30040 

Conze, Jean-Pierre (with Raugi, Albert) Fonctions harmoniques pour un opérateur de 
transition et applications. (English summary) [Harmonic functions for a transition 
operator, and applications] 92g:60100 

Erémenko, A. E. A counterexample to the Arakelyan conjecture. 92k:30049 

Haruki, Hiroshi A new Pythagorean functional equation. 92c:39018 

Kral, Josef (with Pfeffer, Washek F.) Poisson integrals of Riemann integrable functions. 
92j:31001 

Nersesyan, Ashot A. Approximation by harmonic functions on closed subsets of planar 
domains. (Russian. English and Armenian summaries) 92e:41013 

— Letter to the editors: “Approximation by harmonic functions on closed subsets of planar 
domains” [Izv. Akad. Nauk Armyan. SSR Ser. Mat. 25 (1990), no. 3, 274-283; MR 
92e:41013]. (Russian) 

Nguyén Xuan Léc Characterization of holomorphic processes among the conformal 
martingales. 92k:60097 

Pfeffer, Washek F. see Kral, Josef, 92j:31001 

Raugi, Albert see Conze, Jean-Pierre, 92g:60100 

Saint-Raymond, Jean Fonctions séparément analytiques. (English summary) [Separately 
analytic functions] 92¢:26014 

Trembinska, A.M. Cartwright’s theorem for harmonic functions. 92k:30047 


31A10 Integral representations, integral operators, integral 
equations methods 


Duren, P. L. (with Schiffer, M.M.) Robin functions and energy functionals of multiply 
connected domains. 92¢:31003 

Kral, Josef (with Pfeffer, Washek F.) Poisson integrals of Riemann integrable functions. 
92j:31001 

Mokin, Yu. I. Boundary integral equations of the potential of a simple layer on a plane of 
cylindrical variables. (Russian) 92c¢:31004 

Pfeffer, Washek F. see Kral, Josef, 92j:31001 

Schiffer, M.M. see Duren, P. L., 92c:31003 


Items with secondary classifications in 31A10 

Duduchava, R. V. (with Shargorodskii, E.M.) Some singular integral operators with fixed 
singularities. (Russian. English summary) 92h:47070 

Hayman, Walter K. Atomic decompositions. 92a:31001 

— (with Lyons, Terry) Bases for positive continuous functions. 92a:31002 

Lyons, Terry see Hayman, Walter K., 92a:31002 

Shargorodskii, E.M. see Duduchava, R. V., 92h:47070 

Stoll, Manfred Uniform limits of Green potentials in the unit disc. 92b:31001 

Yang, Wei Qi On univalent functions in multiply connected domains. 924:30014 


31A15 Potentials and capacity, harmonic measure, extremal 
length [see also 30C85] 


Cherednichenko, V.G. Estimates for the potential of masses and the solvability of an inverse 
problem. (Russian) 92d:31002 

Nogin, V. A. (with Rubin, B.S.) Estimates for potentials with oscillating kernels that are 
connected with the Helmholtz equation. (Russian) 92h:31001 

Paviéevi¢, Zarko On the Littlewood theorem concerning the Green potential. (Serbo- 
Croatian summary) 

Rubin, B.S. see Nogin, V. A., 92h:31001 


Items with secondary classifications in 31A15 

Baiiuelos, Rodrigo (with Kiemes, I.; Moore, Charles N.) The lower bound in the law of the 
iterated logarithm for harmonic functions. 92d:31001 

(Boas, Ralph P.) see Nikishin, E. M., 92i:30037 

Habsieger, Laurent Intégrales de Selberg et applications. (English summary) [Selberg 
integrals and applications] 92i:33006 

Hayman, Walter K. Atomic decompositions. 92a:31001 

— (with Lyons, Terry) Bases for positive continuous functions. 92a:31002 

Huber, Alfred Conformal welding and logarithmic potential. 

Iwaniec, Tadeusz (with Martin, Gaven J.) Quasiconformal mappings and capacity. 
92h:30040 

Jerison, David Prescribing harmonic measure on convex domains. 92k:31003 

Klemes, I. see Baiiuelos, Rodrigo; et al., 92d:31001 

Lyons, Terry A synthetic proof of Makarov’s law of the iterated logarithm. 92b:30027 

— see also Hayman, Walter K., 92a:31002 

Martin, Gaven J. see Iwaniec, Tadeusz, 92h:30040 

Mhaskar, H. N. (with Saff, E. B.) The distribution of zeros of asymptotically extremal 
polynomials. 924:30005 

Mityuk, I. P. Condensers and covering theorems. (see 92d:30002) 

Moore, Charles N. see Baiiuelos, Rodrigo; et al., 92d:31001 

Murai, Takafumi Analytic capacity for two segments. 92g:30030 

Nakai, Mitsuru Dirichlet finite harmonic measures on Riemann surfaces. 92j:30046 

Nikishin, E.M. (with Sorokin, V. N.) * Rational approximations and orthogonality. 
92i:30037 

Saff, E. B. see Mhaskar, H. N., 92d:30005 

Sorokin, V.N. see Nikishin, E. M., 92i:30037 

Stahl, Herbert On regular nth root asymptotic behavior of orthonormal polynomials. 
92:42033 

Wagner, Gerold On the maximal modulus of polynomials on Cantor sets. 92j:11081 

Wu, Jang-Mei Boundary density and the Green function. 92g:31009 


POTENTIAL THEORY 


1992 420 


31A20 Boundary behavior (theorems of Fatou type, etc.) 


Andrievskii, V. V. Contour-solid properties of harmonic functions. (Russian) 92i:31002 

Berberyan, S. L. On angular boundary values of normal subharmonic functions. (Russian) 
92g:31002 

Stoll, Manfred Uniform limits of Green potentials in the unit disc. 92b:31001 


Items with secondary classifications in 31A20 


Gardiner, Stephen J. Fine limits of superharmonic functions. 92f:31012 

Hengartner, Walter (with Schober, Glenn) Univalent harmonic exterior and ring mappings. 
92g:31001 

Lewis, John L. (with Murray, Margaret A. M.) Regularity properties of commutators and 
layer potentials associated to the heat equation. 92¢:35052 

Murray, Margaret A. M. see Lewis, John L., 92¢:35052 

Schober, Glenn see Hengartner, Walter, 92g:31001 


31A25 Boundary value and inverse problems 


Bass, Ludvik see Green, H. S.; et al., 92h:31002 

Bracken, A. J. see Green, H. S.; et al., 92h:31002 

Curtis, Edward B. (with Morrow, James A.) The Dirichlet to Neumann map for a resistor 
network. 92g:31003 

Green, H.S. (with Bracken, A. J.; Bass, Ludvik) Harmonic functions satisfying a radiation 
boundary condition. 92h:31002 

Hu, Chuan Gan Vector-valued boundary value problems of a class. 92f:31003 

Kapanadze, D. V. An inverse problem in potential theory for piecewise-smooth multiply 
connected domains. (Russian) 92m:31002 

Lazarashvili, L. L. On the uniqueness of the solution of an inverse problem in potential 
theory on the plane. (Russian) 

Marrero Rodriguez, Maria Isabel Analytic characterizations of annuli. 92j:31002 

Mityushev, V. V. A functional equation for harmonic functions in a multiply connected 
domain. (Russian) 92b:31002 

Morrow, James A. see Curtis, Edward B., 92g:31003 

Vignati, Marco A geometric property of functions harmonic in a disk. (German summary) 
92k:31002 


Items with secondary classifications in 31A25 

Balk, P. I. The use of a priori information on the topological features of field sources in the 
solution of an inverse problem in gravimetry. (Russian) 92a:86003 

Duren, P. L. (with Schiffer, M.M.) Robin functions and energy functionals of multiply 
connected domains. 92c:31003 

Gustafsson, Bjérn On quadrature domains and an inverse problem in potential theory. 
92c:31013 

Kovaléy, V. F. A mixed boundary value problem for analytic functions of a biharmonic 
variable for a half-plane. (Russian) (see 92d:00010) 

Le Trong Luc On the inverse source problem for the Newtonian potential. 92h:35242 

Maiié, Ricardo (with da Rocha, L. F.) Julia sets are uniformly perfect. 92k:58229 

Mikhailov, S. E. (with Namestnikova, I. V.) Boundary value problems in the theory of 
elasticity for plane domains with one-dimensional elastic reinforcements. (Russian) 
924:73013 

Namestnikova, I. V. see Mikhailov, S. E., 92d:73013 

da Rocha, L. F. see Maiié, Ricardo, 92k:58229 

Schenk, W. Balayage and related inverse problems for gap diffusions. (see 92d:60003) 

Schiffer, M. M. see Duren, P. L., 92c:31003 

Tsoi, Sun Bon The Neumann problem for the biharmonic equation. (Russian) 92h:31003 


31A30 Biharmonic, polyharmonic functions and equations, 
Poisson’s equation 


Schiff, J. L. (with Walker, W. J.) Potential theory for the Yukawa equation. 92j:31003 
Tsoi, Sun Bon The Neumann problem for the biharmonic equation. (Russian) 92h:31003 
Walker, W. J. see Schiff, J. L., 92j:31003 


Items with secondary classifications in 31A30 

Atakhodzhaev, M. A. On the nonuniqueness of the solution of an ill-posed problem for the 
biharmonic equation. (Russian) 92m:35071 

Gatica, Gabriel N. On the coerciveness property of the biharmonic operator. 92k:35080 


31A35 Connections with differential equations 


Kilbas, A. A. (with Saigo, Megumi; Zhuk, V. A.) On the composition of operators of 
generalized fractional integration with a differential operator in axisymmetric potential 
theory. (Russian) 92j:31004 

Saigo, Megumi see Kilbas, A. A.; et al., 92j:31004 

Zhuk, V. A. see Kilbas, A. A.; et al., 92j:31004 


Items with secondary classifications in 31A35 

Kamynin, L.I. Applications of parabolic Pagni potentials to boundary value problems in 
mathematical physics. I. (Russian) 92¢:35078 

Levashkin, S. P. Asymptotic properties for generalized solutions of the Dirichlet problem 
for a polyharmonic equation in nonsmooth domains. (Russian) 

Shestopalov, Yu. V. On the theory of cylindrical resonators. 92c:78016 

Watson, N. A. Mean values and thermic majorization of subtemperatures. 92k:31001 

Yamasaki, Maretsugu Nonlinear Poisson equations on an infinite network. 92¢:35068 


31Bxx Higher-dimensional theory 
Kurokawa, Takahide On hypersingular integrals. 92g:31004 





421 1992 


31B05 Harmonic, subharmonic, superharmonic functions 


Akin, Omer Completely k-subharmonic functions. (Turkish summary) 924:31003 

Armitage, D. H. (with Kuran, U.) Sharp bounds for harmonic polynomials. 92c:31005 

— Polynomial expansions of positive harmonic functions in the unit ball. 92g:31005 

Axler, Sheldon (with Bourdon, Paul; Ramey, Wade) Bécher’s theorem. 92m:31003 

Bourdon, Paul see Axler, Sheldon; et al., 92m:31003 

Essén, Matts An extension of two theorems of M. Riesz and A. Zygmund to R?, d > 2. (see 
92d:30002) 

Gardiner, Stephen J. Maximum principles for subharmonic functions. 92h:31004 

Jerison, David Prescribing harmonic measure on convex domains. 92k:31003 

Khavinson, Dmitry On reflection of harmonic functions in surfaces of revolution. 92j:31005 

Kheifits, A. I. Removable sets, regular boundary points and the Poisson-Jensen formula for 
generalized subharmonic functions. (Russian) 92i:31003 

— Smooth approximation of a generalization of subharmonic functions. (Russian) 

Kuran, U. see Armitage, D. H., 92c:31005 

Lewis, John L. (with Vogel, Andrew) On pseudospheres. 92g:31006 

Masyukov, V. V. (with Tsvetkov, V. P.) The Burman-Lagrange series method in the 
problem of analytic representation of Newtonian potential of perturbed ellipsoidal 
configurations. (Russian) 92f:31004 

McCoy, Peter A. Representation of harmonic functions in R*. 92c:31006 

Paramonov, P. V. Harmonic approximations in the C'-norm. (Russian) 92j:31006 

Ramey, Wade see Axler, Sheldon; et al., 92m:31003 

Rashkovskii, A. Yu. (with Ronkin, L. I.) Limit sets of subharmonic functions and 
associated measures in a cone. (Russian. Ukrainian summary) 92j:31007 

Ronkin, L. I. see Rashkovskii, A. Yu., 92j:31007 

Shapiro, M. V. On analogies of the Riemann boundary value problem for a class of 
hyperholomorphic functions. (see 92a:00039) 

Tsvetkov, V. P. see Masyukov, V. V., 92f:31004 

Vaskevich, V.L. On a system of harmonic polynomials in three-dimensional space. 
(Russian) 92g:31007 

Vogel, Andrew see Lewis, John L., 92g:31006 

Wiegerinck, J. J.O.O. (with Zeinstra, Rein) Separately subharmonic functions: when are 
they subharmonic. 92k:31004 

Yoshida, Hidenobu Harmonic majorization of a subharmonic function on a cone or on a 
cylinder. 92c:31007 

Zeinstra, Rein see Wiegerinck, J. J. O. O., 92k:31004 

Zwick, D. The obstacle problem and best superharmonic approximation. 92c:31008 


Items with secondary classifications in 31B05 


Bajiuelos, Rodrigo (with Moore, Charles N.) Distribution function inequalities for the 
density of the area integral. (French summary) 92k:42025 

Bass, Richard F. (with Burdzy, Krzysztof) A boundary Harnack principle in twisted Hélder 
domains. 92m:31006 

Burdzy, Krzysztof see Bass, Richard F., 92m:31006 

Gleason, Stewart (with Wolff, Thomas H.) Lewy’s harmonic gradient maps in higher 
dimensions. 92k:35062 

Kapoor, G. P. (with Nautiyal, A.) Approximation of harmonic functions regular in a finite 
hyperball in R?*+?. (see 92b:00048) 

Kounchev, Ognyan Iv. Exact estimates of the Laplacian of a polyharmonic function and 
approximation through polyharmonic functions. 92j:35042a 

— Sharp estimate of the Laplacian of a polyharmonic function and applications. 92j:35042b 

Mateu, Joan (with Orobitg, Joan) Lipschitz approximation by harmonic functions and 
some applications to spectral synthesis. 92e:46052 

Moore, Charles N. see Baiiuelos, Rodrigo, 92k:42025 

Nautiyal, A. see Kapoor, G. P., (92b:00048) 

Orobitg, Joan see Mateu, Joan, 92e:46052 

Osipenko, K. Yu. Recovery methods that are the best and optimal on classes of harmonic 
functions. (Russian) 92k:41044 

Randol, Burton Some remarks on the stability of a property related to the mean value 
theorem for harmonic functions. 92¢:31002 

Riihentaus, J. (with Tamrazov, P.M.) Subharmonic and plurisubharmonic extension of 
functions. (Russian summary) 92m:31005 

Semmes, Stephen Differentiable function theory on hypersurfaces in R” (without bounds on 
their smoothness). 92m:30088 

Shimomura, Katsunori A note on the definition of inner NTA domain. 92h:31007 

Tamrazov, P.M. see Riihentaus, J., 92m:31005 

Wilson, J. Michael (with Zwick, D.) Best approximation by subharmonic functions. 
92g:41028 

Wolff, Thomas H. see Gleason, Stewart, 92k:35062 

Zwick, D. Uniform approximation by harmonic and subharmonic functions. 92c:41030 

— see also Wilson, J. Michael, 92g:41028 


31B10 Integral representations, integral operators, integral 
equations methods 


Huang, Xiu Lian Integral representation of harmonic functions on bounded domains in R” 
and its application. (Chinese. English summary) 92m:31004 


Items with secondary classifications in 31B10 

Hoh, Walter (with Jacob, Niels) Remarks on mean value properties of solutions of second 
order differential operators. 92k:35017 

Jacob, Niels see Hoh, Walter, 92k:35017 

Kheifits, A. I. The Riesz-Herglotz formula for generalized harmonic functions and their 
boundary behavior. (Russian) 

McCoy, Peter A. Representation of harmonic functions in R*. 92¢:31006 

Sten‘kin, V. V. A method for reducing the solution of the biharmonic equation to boundary 
integral equations. (Russian. English summary) 

Xing, Bai Fang Vector-valued inequalities with weights for potential operators. (Chinese) 
92e:42014 


31B Higher-dimensional theory 


31B15 Potentials and capacities, extremal length 


Adams, David R. The classification problem for the capacities associated with the Besov and 
Triebel-Lizorkin spaces. 92f:31005 

Groh, Gabor G. A theorem on the potential of a double layer. 92j:31008 

Shahgholian, Henrik On the Newtonian potential of a heterogeneous ellipsoid. 92f:31006 

Shishkanova, S. F. Newton, Avery, Maclaurin and Laplace theorems for multidimensional 
ellipsoids. (Russian) 92¢:31009 

Shlyk, V. A. Capacity of a condenser and the modulus of a family of separating surfaces. 
(Russian) 924:31004 

Strugov, Yu. F. On the continuity of p-capacity. (Russian) 92g:31008 

Tkachev, V.G. Some estimates for the mean curvature of graphs over domains in R". 
(Russian) 92i:31004 

Wang, Wan-xian The potential for a homogeneous cylinder in a cylindrical coordinate 
system. 92¢:31010 

Wa, Jang-Mei Boundary density and the Green function. 92g:31009 

Wu, Zheng De see Zhu, Ning Hua; et al., 92j:31009 

Zhu, Ning Hua (with Wu, Zheng De) A criterion for a family of rotational surfaces to 
be a family of equipotential surfaces, and its applications. (Chinese. English summary) 
92j:31009 

Zarii, N. V. On the problem of the minimum of Green energy on condensers. (Russian) 
92£:31007 

— A variational problem in theory of the Green potential. II. (Russian. Ukrainian summary) 
92¢:31011 

— Capacities and discrete characteristics of higher-dimensional condensers. (Russian. 
Ukrainian summary) 92h:31005 

— Estimates for the capacities of plane condensers. (Russian. Ukrainian summary) 
92£:31008 

— Variational problems in potential theory. (Russian. Ukrainian summary) 92f:31009 


Items with secondary classifications in 31B15 

Korevaar, Jacob Applications of C” capacities. 92j:32050 

Levitskii, B. E. Reduced p-modulus and the interior p-harmonic radius. (Russian) 
92h:30049 

Mamedov, S. A. Weight inequalities for anisotropic Riesz potentials. (Russian) (see 
92c:00016) 

Noussair, Ezzat S. (with Swanson, Charles A.) Properties of potential systems in R”. 
92k:35083 

Peshkichev, Yu. A. Moduli of families of two-dimensional surfaces, and quasiconformal 
mappings in four-dimensional space. (Russian) 92k:30035 

Shlyk, V. A. The structure of compact sets that generate normal domains and removable 
singularities for the space L}(D). (Russian) 924:46095 

Swanson, Charles A. see Noussair, Ezzat S., 92k:35083 

Wa, Jang-Mei Examples of capacity for some elliptic operators. 92k:35072 

Youssfi, Abdellah Continuité-Sobolev de certains opérateurs paradifférentiels. [Sobolev 
continuity of some paradifferential operators] 92m:42018 


31B20 Boundary value and inverse problems 


Bauer, Heinz Dirichlet problem and irregular boundary points. 

Bellout, Hamid (with Friedman, Avner; Isakov, Victor) Stability for an inverse problem in 
potential theory. 92j:31010 

Bourgain, Jean (with Wolff, Thomas H.) A remark on gradients of harmonic functions in 
dimension > 3. 92¢:31012 

Cheney, Margaret (with Isaacson, David) An overview of inversion algorithms for 
impedance imaging. (see 92f:00025) 

Etingof, P. I. Inverse problems of potential theory and flows in porous media with time- 
dependent free boundary. 92h:31006 

Fabrikant, V. 1. Mixed boundary value problem of potential theory in toroidal coordinates. 
92k:31005 

— see also Ramm, A. G., 92k:31006 

Friedman, Avner see Bellout, Hamid; et al., 92j:31010 

Gustafsson, Bjérn On quadrature domains and an inverse problem in potential theory. 
92¢:31013 

Isaacson, David see Cheney, Margaret, (92f:00025) 

Isakov, Victor see Bellout, Hamid; et al., 92j:31010 

Karachik, V. V. (with Turmetov, B. Kh.) A problem for the harmonic equation. (Russian. 
Uzbek summary) 92b:31003 

Kas’yanov, E. Yu. (with Kopaev, A. V.) On the solution of the Dirichlet problem for some 
multidimensional domains by the method of reproducing kernels. (Russian) 

Kopaev, A. V. see Kas‘yanov, E. Yu. 

Love, E. Russell The potential due to a circular parallel plate condenser. 92c:31014 

Lyakhov, L. N. Continuity of potentials of a simple layer generated by a generalized shift. 
(Russian) 92b:31004 

Mukhlisov, F.G. Some conditions for the existence of the Green function for a Dirichlet- 
type problem. (Russian) (see 92d:35005) 

Ramm, A. G. (with Fabrikant, V. I.) Justification of Fabrikant’s method for soiving mixed 
problems of potential theory. 92k:31006 

Riihentaus, J. (with Tamrazov, P. M.) Subharmonic and plurisubharmonic extension of 
functions. (Russian summary) 92m:31005 

Tamrazov, P.M. see Riihentaus, J., 92m:31005 

Turmetov, B. Kh. see Karachik, V. V., 92b:31003 

Wolff, Thomas H. see Bourgain, Jean, 92c:31012 

Yanushauskas, Algimantas On the Cauchy-Poisson problem for a layer of constant depth. 
(Russian. English and Lithuanian summaries) 92¢:31015 


Items with secondary classifications in 31B20 

Bossavit, Alain The “scalar” Poincaré-Steklov operator and the “vector” one: algebraic 
structures which underlie their duality. (see 92a:65023) 

Chen, Benito C. (with Jorge, M. C.; Minzoni, A. A.) Bifurcation of solutions for an inverse 
problem in potential theory. 92j:35185 





31B20 


Isakov, Victor * Inverse source problems. 92g:35230 

Jerison, David Regularity of the Poisson kernel and free boundary problems. 92b:35177 

— Prescribing harmonic measure on convex domains. 92k:31003 

Jorge, M.C. see Chen, Benito C.; et al., 92j:35185 

Kheifits, A. I. Removable sets, regular boundary points and the Poisson-Jensen formula for 
generalized subharmonic functions. (Russian) 92i:31003 

Minzoni, A. A. see Chen, Benito C.; et al., 92j:35185 

Mokin, Yu. I. Efficient methods for calculating surface potentials of a simple and a double 
layer. (Russian) 92k:65195 

Payne, Lawrence E. (with Philippin, G. A.) Some overdetermined boundary value problems 
for harmonic functions. (French summary) 92j:35035 

Perlin, P. I. On the asymptotics of solutions of boundary value problems of potential theory 
and elasticity theory near conical points of the boundary. (Russian) 92k:73022 

Philippin, G. A. see Payne, Lawrence E., 92j:35035 

Schot, Steven H. A simple solution method for the first boundary value problem of the 
polyharmonic equation. 92b:35051 

Schuch, Ulrich The linearized problem of electrocardiography. 92j:92011 

Shapiro, M. V. On analogies of the Riemann boundary value problem for a class of 
hyperholomorphic functions. (see 92a:00039) 

Vaskevich, V.L. Or a system of harmonic polynomials in three-dimensional space. 
(Russian) 92g:31007 


31B25 Boundary behavior 


Aikawa, Hiroaki Harmonic functions and Green potentials having no tangential limits. 
92b:31005 

Bass, Richard F. (with Burdzy, Krzysztof) A boundary Harnack principle in twisted Hélder 
domains. 92m:31006 

Berman, Robert D. (with Singman, David) Boundary behavior of positive solutions of the 
Helmholtz equation and associated potentials. 92k:31007 

Burdzy, Krzysztof see Bass, Richard F., 92m:31006 

Gowrisankaran, Kohur Polydiscs and nontangential limits. 92j:31011 

Kheifits, A. I. The Riesz-Herglotz formula for generalized harmonic functions and their 
boundary behavior. (Russian) 

Mizuta, Yoshihiro On the existence of weighted boundary limits of harmonic functions. 
(French summary) 92g:31010 

Singman, David see Berman, Robert D., 92k:31007 

Wa, Jiong Qi p-fine boundary limits of a-harmonic functions. (Chinese. English summary) 
92j:31012 


Items with secondary classifications in 31B25 

Baiuelos, Rodrigo (with Bass, Richard F.; Burdzy, Krzysztof) Hélder domains and the 
boundary Harnack principle. 92g:35077 

Bass, Richard F. see Baiiuelos, Rodrigo; et al., 92g:35077 

Brossard, Jean (with Chevalier, Lucien) Limites non tangentielles, limites browniennes en 
probabilité et limites semi-fines. [Nontangential limits, Brownian limits in probability 
theory and semifine limits] 92m:60066 

Burdzy, Krzysztof see Baiiuelos, Rodrigo; et al., 92g:35077 

Chevalier, Lucien see Brossard, Jean, 92m:60066 

Cifuentes, Patricio (with Dorronsoro, José R.; Sueiro, Juan) Boundary tangential conver- 
gence on spaces of homogeneous type. 92j:42019 

Dorronsoro, José R. see Cifuentes, Patricio; et al., 92j:42019 

Gardiner, Stephen J. Fine limits of superharmonic functions. 92£:31012 

Masaoka, Hiroaki A note on the boundary behavior for nonnegative finely superharmonic 
functions in the upper half space. 92k:31008 

Rashkovskii, A. Yu. (with Ronkin, L. I.) Limit sets of subharmonic functions and 
associated measures in a cone. (Russian. Ukrainian summary) 92j:31007 

Ronkin, L. I. see Rashkovskii, A. Yu., 92j:31007 

Sueiro, Juan see Cifuentes, Patricio; et al., 92j:42019 

Yoshida, Hidenobu Harmonic majorization of a subharmonic function on a cone or on a 
cylinder. 92c:31007 


31B30 Biharmonic and polyharmonic equations and functions 


Kovalév, V. F. (with Mel’nichenko, I. P.) Algebras of functionally invariant solutions of the 
p-harmonic equation. (Russian) 92j:31013 

MeInichenko, I. P. see Kovalév, V. F., 92j:31013 

Strugov, Yu. F. Homeomorphism of some classes of three-dimensional p-harmonic 
mappings. (Russian) 92g:31011 


Items with secondary classifications in 31B30 


Emets, Yu. P. (with Obnosov, Yu. V.) An exactly solvable problem on the mutual influence 
of inclusions in the theory of heterogeneous media. (Russian) 92a:78003 

Ikehata, Masaru A special Green’s function for the biharmonic operator and its application 
to an inverse boundary value problem. 92g:35229 

Korotiski, Jan (with Zdankiewicz, Zbigniew) Boundary value problem for the equation 
A”u = f and for the strip of the p-dimensional space with boundary conditions of Riquier 
type. (Polish summary) (see 92c:00013) 

Ligocka, Ewa Corrigendum to the paper: “On the reproducing kernel for harmonic 
functions and the space of Bloch harmonic functions on the unit ball in R"” [Studia Math. 
87 (1987), no. 1, 23-32; MR 89f:46054a]. 

Mokin, Yu. I. Efficient methods for calculating surface potentials of a simple and a double 
layer. (Russian) 92k:65195 

Obnosov, Yu. V. see Emets, Yu. P., 92a:78003 

Schot, Steven H. A simple solution method for the first boundary value problem of the 
polyharmonic equation. 92b:35051 

Sten‘kin, V. V. A method for reducing the solution of the biharmonic equation to boundary 
integral equations. (Russian. English summary) 

Zdankiewicz, Zbigniew see Koronski, Jan, (92c:00013) 


POTENTIAL THEORY 


31B35 Connections with differential equations 


Manfredi, Juan J. Isolated singularities of p-harmonic functions in the plane. 92c:31016 
Shimomura, Katsunori A note on the definition of inner NTA domain. 92h:31007 


Items with secondary classifications in 31B35 

Bellout, Hamid (with Friedman, Avner; Isakov, Victor) Stability for an inverse problem in 
potential theory. 92j:31010 

Boutet de Monvel-Berthier, Anne-Marie Sur les fonctions harmoniques et holomorphes de 
classe H' et le probleme de Ginzburg-Landau en deux dimensions. [On harmonic and 
holomorphic functions of class H' and the Ginzburg-Landau problem in two dimensions] 
(see 92£:35007) 

Friedman, Avner see Bellout, Hamid; et al., 92j:31010 

Isakov, Victor see Bellout, Hamid; et al., 92j:31010 

Kamynin, L.I. Application of parabolic potentials to boundary value problems in mathe- 
matical physics. III. (Russian) 92g:35082 

Lazarev, M. I. Numerical solution of boundary value problems by the potential method. 
(Russian) 

Lyakhov, L. N. Continuity of potentials of a simple layer generated by a generalized shift. 
(Russian) 92b:31004 

Maeda, Fumi-Yuki (with Murakami, Atsushi; Yamasaki, Maretsugu) Discrete initial value 
problems and discrete parabolic potential theory. 92c:39010 

Mukhlisov, F.G. Some conditions for the existence of the Green function for a Dirichlet- 
type problem. (Russian) (see 92d:35005) 

Murakami, Atsushi see Maeda, Fumi-Yuki; et al., 92c:39010 

Strugov, Yu. F. Homeomorphism of some classes of three-dimensional p-harmonic 
mappings. (Russian) 92g:31011 

Suzuki, Takashi Introduction to geometric potential theory. 92d:35033 

Tada, Toshimasa Essential sets of Picard principle for rotation free densities. 92b:35046 

Wa, Jang-Mei Examples of capacity for some elliptic operators. 92k:35072 

Yamasaki, Maretsugu see Maeda, Fumi-Yuki; et al., 92c:39010 

Yanushauskas, Algimantas * MeTogbi noTeHi{Hana B TeOpHH SJIMNTHYeCCKHX ypaBHeHHH. 
(Russian) [Potential methods in the theory of elliptic equations] 92h:35050 

Ziemian, Bogdan Mean value theorems for linear and semi-linear rotation invariant 
operators. 92b:35017 


31B99 None of the above, but in this section 
Ullrich, David C. Removable sets for harmonic functions. 92f:31010 


Items with secondary classifications in 31B99 


David, Guy René (with Jerison, David) Lipschitz approximation to hypersurfaces, 
harmonic measure, and singular integrals. 92b:42021 
Jerison, David see David, Guy René, 92b:42021 


31Cxx Other generalizations 


31C05 Harmonic, subharmonic, superharmonic functions 


Bonami, Aline (with Madan, Shobha) Balayage of Carleson measures and Hankel operators 
on generalized Hardy spaces. 92m:31007 

Hoh, Walter (with Jacob, Niels) On the potential theory of the Kolmogorov equation. 
92m:31008 

Jacob, Niels see Hoh, Walter, 92m:31008 

Kheifits, A. I. Distribution of values and representations of generalized subharmonic 
functions. (Russian) 92¢:31017 

Madan, Shobha see Bonami, Aline, 92m:31007 

Schell, H.-J. Asymptotische Entwicklungen der konfluenten hypergeometrischen Funktio- 
nen U(a,b, z) und M(a, b, z) fiir groBe Werte von b und z. (English and Russian sum- 
maries) [Asymptotic expansions of the confluent hypergeometric functions U(a, b, z) and 
M (a,b, z) for large values of b and z] 92j:31014 

Zhao, Shiying On the weighted L’-integrability of nonnegative -superharmonic 
functions. 92i:31005 


Items with secondary classifications in 31C05 
Adams, S. R. Superharmonic functions on foliations. 92f:58132 
Akin, Omer Completely k-subharmonic functions. (Turkish summary) 924:31003 


Bui, Huy-Qui Boundary value characterizations for weighted Hardy spaces of harmonic 
functions. 92c:42021 

Feller, M. N. The scope of harmonic functions of an infinite number of variables. I. 
(Russian. Ukrainian summary) 92b:46062 

— The scope of harmonic functions of an infinite number of variables. II. (Russian. 
Ukrainian summary) 92b:46063 


Hensgen, Wolfgang Some remarks on boundary values of vector-valued harmonic and 
analytic functions. 92j:46062 


31C10 Pluriharmonic and plurisubharmonic functions 
[see also 32F05] 


Items with secondary classifications in 31C10 


Beatrous, Frank Boundary estimates for derivatives of harmonic functions. 92g:42009 

Berndtsson, Bo (with Bruna, Joaquim) Traces of pluriharmonic functions on curves. 
92e:32010 

Bruna, Joaquim see Berndtsson, Bo, 92e:32010 

Chen, Jie Cheng A note on Carleson measures in product spaces and their applications. 
(Chinese) 92b:42024 

Krushkal’, S. L. The Green function of Teichmiiller spaces with applications. 92k:30040 

Sekerin, A. B. Integral representation of plurisubharmonic functions. (Russian) 92i:32012 





423 1992 


Shi, Ji Huai Inequalities for the integral means of holomorphic functions and their 
derivatives in the unit ball of C”. 92¢:32004 


31C12 Potential theory on Riemannian manifolds 
[see also 53C20; for Hodge theory, see 58A14] 


Ancona, Alano Théorie du potentiel sur les graphes et les variétés. [Potential theory on 
graphs and manifolds} 92g:31012 

Benjamini, Itai Instability of the Liouville property for quasi-isometric graphs and 
manifolds of polynomial volume growth. 92f:31011 

Grigor’yan, A. A. Dimensions of spaces of harmonic functions. (Russian) 92j:31015 


Items with secondary classifications in 31C12 


Adams, S. R. Superharmonic functions on foliations. 92f:58132 

Murata, Minoru On construction of Martin boundaries for second order elliptic equations. 
92d:58216 

Struwe, Michael The evolution of harmonic mappings with free boundaries. 92d:58045 

Sultanov, B. Yu. On an equality for some conformal invariants on Riemannian manifolds. 
(Russian) 92k:53028 

Taylor, John Christopher The product of minimal functions is minimal. 92¢:60102 

Troyanov, Mare Un principe de ati pacité pour les suites de surfaces 
riemanniennes. (English summary) [A concentration-compactness principle for sequences 
of Riemann surfaces] 92m:53077 





31C15 Potentials and capacities 


El Kaabouchi, Abdelaziz Points extrémaux du convexe des mesures majorées par une 
capacité. (English summary) [Extreme elements in the convex set of measures majorized 
by acapacity] 92h:31008 

Jedrzejowski, Mieczysiaw The homogeneous transfinite diameter of a compact subset of C”. 
92m:31009 


Items with secondary classifications in 31C15 

Bouleau, Nicolas (with Hirsch, Francis) Some results on Lipschitzian stochastic differential 
equations by Dirichlet forms methods. 92g:60077 

Getoor, R. K. * Excessive measures. 92i:60135 

Haran, Shai Index theory, potential theory, and the Riemann hypothesis. 92i:11094 

Hirsch, Francis see Bouleau, Nicolas, 92g:60077 

Khusanov, Z. Kh. Capacity properties of q-subharmonic functions. II. (Russian. Uzbek 
summary) 92f:32022 

O’Brien, George L. (with Vervaat, Wim) Capacities, large deviations and loglog laws. 
92k:60007 

Solynin, A. Yu. Continuous symmetrization of sets. (Russian) 92k:28012 

Sultanov, B. Yu. On an equality for some conformal invariants on Riemannian manifolds. 
(Russian) 92k:53028 

Vervaat, Wim see O’Brien, George L., 92k:60007 


31C20 Discrete potential theory and numerical methods 


Picardello, Massimo A. (with Woess, Wolfgang) Ends of infinite graphs, potential theory 
and electrical networks. 92a:31003 

Woess, Wolfgang see Picardello, Massimo A., 92a:31003 

Yamaguti, M. Fractal sets and multigrid calculus on some fractal set. 92m:31010 


Items with secondary classifications in 31C20 

Barlow, Martin T. (with Taylor, Samuel James) Defining fractal subsets of Z?. 92m:28013 

Benjamini, Itai Instability of the Liouville property for quasi-isometric graphs and 
manifolds of polynomial volume growth. 92f:31011 

Kesten, Harry Relations between solutions to a discrete and continuous Dirichlet problem. 
92k:60157 

Maeda, Fumi-Yuki (with Murakami, Atsushi; Yamasaki, Maretsugu) Discrete initial value 
problems and discrete parabolic potential theory. 92¢:39010 

Murakami, Atsushi see Maeda, Fumi-Yuki:; et al., 92c:39010 

Nummelin, E. On the Poisson equation in the potential theory of a single kernel. 92m:60054 

Picardello, Massimo A. (with Taibleson, Mitchell H.) Substochastic transition operators on 
trees and their associated Poisson integrals. 92f:43012 

Taibleson, Mitchell H. see Picardello, Massimo A., 92f:43012 

Taylor, Samuel James see Barlow, Martin T., 92m:28013 

Yamasaki, Maretsugu see Maeda, Fumi-Yuki; et al., 92c:39010 


31C25 Dirichlet spaces 


Albeverio, Sergio (with Ma, Zhi Ming; Réckner, Michael) Dirichlet forms and Markov 
fields—a report on recent developments. 92m:31011 

— (with Kusuoka, Shigeo; Réckner, Michael) On partial integration in infinite-dimensional 
space and applications to Dirichlet forms. 92h:31009 

— (with Ma, Zhi Ming) A general correspondence between Dirichlet forms and right 
processes. 92h:31010 

Kusuoka, Shigeo see Albeverio, Sergio; et al., 92h:31009 

Ma, Zhi Ming see Albeverio, Sergio, 92h:31010 and 92m:31011 

Réckner, Michael see Albeverio, Sergio; et al., 92h:31009 and 92m:31011 

Schmuland, B. An alternative compactification for classical Dirichlet forms on topological 
vector spaces. 92b:31006 


Items with secondary classifications in 31C25 
Albeverio, Sergio (with Réckner, Michael) New developments in the theory and application 
of Dirichlet forms. 92h:47101 


— (with Ma, Zhi Ming) A note on quasicontinuous kernels representing quasi-linear positive 
maps. 92m:60065 
Bragg, L. R. Transmutations and ascent. 92m:35010 


31D Axiomatic potential theory 


31D05 


Ma, Zhi Ming see Albeverio, Sergio, 92m:60065 
Richter, Stefan A representation theorem for cyclic analytic two-isometries. 92e:47052 
Rockner, Michael see Albeverio, Sergio, 92h:47101 


31C35 Martin boundary theory [see also 60350] 


Ancona, Alano Sur la frontitre de Martin des domaines de Denjoy. [On the Martin 
boundary of Denjoy domains] 92e:31001 

Masaoka, Hiroaki Theorems of Plessner and Riesz types for finely harmonic morphisms. 
92g:31013 

— A note on the boundary behavior for nonnegative finely superharmonic functions in the 
upper half space. 92k:31008 


Items with secondary classifications in 31C35 

Bass, Richard F. (with Burdzy, Krzysztof) A probabilistic proof of the boundary Harnack 
principle. 92¢:60106 

Burdzy, Krzysztof see Bass, Richard F., 92c:60106 

Cartwright, Donald I. (with Sawyer, Stanley) The Martin boundary for general isotropic 
random walks in a tree. 92f:60131 

Freire, Alexandre S. On the Martin boundary of Riemannian products. 92e:53045 

Murata, Minoru On construction of Martin boundaries for second order elliptic equations. 
92d:58216 

Sawyer, Stanley see Cartwright, Donald I., 92f:60131 

Tada, Toshimasa Martin compactification for a Schrédinger equation in an angular domain. 
92e:35059 


31C40 Fine potential theory 
Gardiner, Stephen J. Fine limits of superharmonic functions. 92f:31012 


Items with secondary classifications in 31C40 


Burdzy, Krzysztof Minimal fine derivatives and Brownian excursions. 92b:60067 

Masaoka, Hiroaki A note on the boundary behavior for nonnegative finely superharmonic 
functions in the upper half space. 92k:31008 

Nguyén Xuan Léc Characterization of holomorphic processes among the conformal 
martingales. 92k:60097 


31C45 Other generalizations (nonlinear potential theory, etc.) 


Vodop‘yanov, S. K. * L,-Teopua noTeHumana 218 O6OOmeHHEIX Aep H Ce NPHIOKeHHA. 
(Russian) [L,-theory of potential for generalized kernels and its applications] 92c:31018 

Items with secondary classifications in 31C45 

Adams, David R. (with Pierre, Michel) Capacitary strong type estimates in semilinear 
problems. (French summary) 92m:35074 

Agranovskii, M. L. Poisson integrals in MOébius-invariant spaces in the complex ball. 
(Russian) 92¢:32008 

Feller, M. N. The scope of harmonic functions of an infinite number of variables. I. 
(Russian. Ukrainian summary) 92b:46062 

— The scope of harmonic functions of an infinite number of variables. II. (Russian. 
Ukrainian summary) 92b:46063 

Heyer, Herbert Convoluti igroups and potential kernels on a commutative hyper- 
group. 92c:60003 

Nieminen, Esko Hausdorff measures, capacities, and Sobolev spaces with weights. 
92i:46039 

Picardello, Massimo A. (with Taibleson, Mitchell H.) Substochastic transition operators on 
trees and their associated Poisson integrals. 92f:43012 

Pierre, Michel see Adams, David R., 92m:35074 

Raugi, Albert Caractérisation d’une famille de fonctions harmoniques positives sur les 
groupes moyennables. [Characterization of a family of positive harmonic functions on 
amenable groups] 92k:60015 

Taibleson, Mitchell H. see Picardello, Massimo A., 92f:43012 

Vodop‘yanov, S. K. Weighted L, potential theory on homogeneous groups. (Russian) 
92i:46028 





31C99 None of the above, but in this section 


Items with secondary classifications in 31C99 

Ahern, Patrick (with Rudin, Walter) -harmonic products. 92g:32013 
Rudin, Walter see Ahern, Patrick, 92g:32013 

Sun, Li Min Hilbert integrals on Siegel domains of type II. 92h:32050 


31D05 Axiomatic potential theory 


Ikegami, Teruo Duality on harmonic spaces. 92b:31007 

Metz, Volker Potentialtheorie auf dem Sierpinski gasket. [Potential theory on the Sierpinski 
gasket] 92b:31008 

Popa, Eugen Quasi-continuity in H-cones. 92f:31013 

Popa, Liliana The density of bounded and finite-Dirichlet integral harmonic functions on 
standard H-cones. II. (Romanian summary) 92c:31019 

Salazar, Jorge A. Fatou and Littlewood related theorems and a convergence property in the 
R. S. Martin topology. 92f:31014 

Suzuki, Noriaki A note on Dirichlet regularity on harmonic spaces. 92d:31005 





32-XX 


32-XX Several complex variables and analytic 
spaces {For infinite-dimensional 
holomorphy, see also 46G20, 58B12.} 


32-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Candelas, Philip Lectures on complex manifolds. (see 92c:81006) 

Gunning, Robert C. * Introduction to holomorphic functions of several variables. Vol. I. 
92b:32001a 

— * Introduction to holomorphic functions of several variables. Vol. II. 92b:32001b 

— * Introduction to holomorphic functions of several variables. Vol. III. 92b:32001c 

Lé Hing So’n An introduction to the theory of analytic function in several complex 
variables. (see 92i:00023) 


32-02 Research exposition (monographs, survey articles) 


(Klimek, Maciej) see Lojasiewicz, Stanislaw, 92g:32002 

Krantz, Steven G. Convexity in complex analysis. 92g:32001 

Lojasiewicz, Stanislaw * Introduction to complex analytic geometry. 92g:32002 

Noguchi, Junjiro (with Ochiai, Takushiro) * Geometric function theory in several complex 
variables. 92e:32001 

Ochiai, Takushiro see Noguchi, Junjiro, 92e:32001 

Stanton, Nancy K. The Riemann mapping nontheorem. 92m:32001 


Items with secondary classifications in 32-02 


Abate, Marco * Iteration theory of holomorphic maps on taut manifolds. 92i:32032 

Aizenberg, L. A. * ®opmynbi Kapiemaka B KOMIJIeKCHOM aHasnse. (Russian) [Carleman 
formulas in complex analysis] 92b:32007 

Bell, Steven R. (with Narasimhan, Raghavan) Proper holomorphic mappings of complex 
spaces. 92m:32046 

Chirka, E.M. * Complex analytic sets. 92b:32016 

(Hoksbergen, R. A.M.) see Chirka, E. M., 92b:32016 

Narasimhan, Raghavan see Bell, Steven R., 92m:32046 

Penrose, Roger Twistor theory after 25 years—its physical status and prospects. 92a:32040 

Sibony, Nessim Some aspects of weakly pseudoconvex domains. 92g:32034 

Yau, Shing-Tung A review of complex differential geometry. 92j:32029 


32-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Cartan, Henri Sur quelques progrés dans la théorie des fonctions analytiques de variables 
complexes entre 1930 et 1950. [On some advances in the theory of analytic functions of 
complex variables between 1930 and 1950] 92i:32001 

— see also Serre, Jean-Pierre, 92j:32002 

Grauert, Hans The methods of the theory of functions of several complex variables. 
92j:32001 

(Remmert, Reinhold) see Serre, Jean-Pierre, 92j:32002 

Serre, Jean-Pierre Les petits cousins. [Second cousins] 92j:32002 


Items with secondary classifications in 32-03 

Ko, Seok-ku Teichmiiller theory, its new and old. (Korean summary) 92g:32043 

Remmert, Reinhold Complex analysis in the golden fifties. 92m:01041 

— Karl Stein, Trager der ersten Cantor-Medaille. [Karl Stein, bearer of the first Cantor 
Medal] 924:01052 

(Stein, Kari) see Remmert, Reinhold, 92d:01052 


32-06 Proceedings, conferences, collections, etc. 


(Bedford, Eric) see Several complex variables and complex geometry, 92d:32001; 92d:32002 
and 924:32003 

(Carlson, James A.) see Complex geometry and Lie theory, 92g:32003 

(Clemens, Herbert) see Complex geometry and Lie theory, 92g:32003 

(Coen, Sal ) seeG y and complex variables, 92i:32002 

(D’Angelo, John P.) see Several complex variables and complex geometry, 92d:32001; 
924:32002 and 92d:32003 

(Diederich, Klas) see Complex analysis, 92b:32002 

(Grauert, Hans) see Complex analysis, 92b:32002 

(Greene, Robert E.) see Several complex variables and complex geometry, 92d:32001; 
92d:32002 and 92d:32003 

(Krantz, Steven G.) see Several complex variables and complex geometry, 92d:32001; 
92d:32002 and 92d:32003 

(Morrison, David R.) see Complex geometry and Lie theory, 92g:32003 

(Noguchi, Junjiro) see Prospects in complex geometry, 92c:32001 

(Ochiai, Takushiro) see Recent topics in differential and analytic geometry, 92h:32001 and 
Kahler metric and moduli spaces, 92i:32003 

(Ohsawa, Takeo) see Prospects in complex geometry, 92c:32001 

(Vakhrameev, S. A.) see Complex analysis. Several variables, 92m:32002 





Items listed otherwise than by author 

Bologna * Geometry and complex variables. 92i:32002 

Complex analysis * Complex analysis. 92b:32002 

Complex analysis. Several variables * Komnnexcubif aHanu3. Muorue nepemeHutie. 6. 
(Russian) [Complex analysis. Several variables. 6] 92m:32002 

Complex analytic geometry and related investigations *x Fukuso kaiseki kikagaku to sono 
shihen no kenkya. (Japanese) [Complex analytic geometry and related investigations] 
92b:32003 

Complex geometry and Lie theory * Complex geometry and Lie theory. 92g:32003 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


Conference: 
Prospects in Complex Geometry * Prospects in complex geometry. 92c:32001 
Geometry and complex variables * Geometry and complex variables. 92i:32002 
Itogi Nauki i Tekhniki * Komnnexcubifi aHanu3. Muorue nepemenuzie. 6. (Russian) 
[Complex analysis. Several variables. 6] 92m:32002 
Kahler metric and moduli spaces * Kahler metric and moduli spaces. 92i:32003 
Katata * Prospects in complex geometry. 92c:32001 
Kyoto * Prospects in complex geometry. 92c:32001 
Lecture Notes in Mathematics * Prospects in complex geometry. 92c:32001 
Meeting: 
Geometry and Complex Variables * Geometry and complex variables. 92i:32002 
Proceedings of Symposia in Pure Mathematics * Several complex variables and complex 
geometry. Part 1. 92d:32001 

— * Several complex variables and complex geometry. Part 2. 92d:32002 

— * Several complex variables and complex geometry. Part 3. 92d:32003 

— * Complex geometry and Lie theory. 92g:32003 

Prospects in complex geometry * Prospects in complex geometry. 92c:32001 

Recent topics in differential and analytic geometry * Recent topics in differential and 
analytic geometry. 92h:32001 

Research Institute: 

Several Complex Variables and Complex Geometry * Several complex variables and 
complex geometry. Part 1. 92d:32001 

— * Several complex variables and complex geometry. Part 2. 92d:32002 

— * Several complex variables and complex geometry. Part 3. 92d:32003 

Santa Cruz,CA * Several complex variables and complex geometry. Part 1. 92d:32001 

— * Several complex variables and complex geometry. Part 2. 92d:32002 

— * Several complex variables and complex geometry. Part 3. 92d:32003 

Several complex variables and complex geometry * Several complex variables and complex 
geometry. Part 1. 92d:32001 

— * Several complex variables and complex geometry. Part 2. 92d:32002 

— * Several complex variables and complex geometry. Part 3. 92d:32003 

Sundance, UT * Complex geometry and Lie theory. 92g:32003 

Symbolic calculus * Symbolic calculus. (Japanese) 92k:32001 

Symposium: 

Complex Analytic Geometry and Related Investigations * Fukuso kaiseki kikagaku 
to sono shahen no kenkya. (Japanese) [Complex analytic geometry and related 
investigations] 92b:32003 

Complex Geometry and Lie Theory * Complex geometry and Lie theory. 92g:32003 

Prospects in Complex Geometry * Prospects in complex geometry. 92c:32001 

Symbolic Calculus * Symbolic calculus. (Japanese) 92k:32001 

Workshop: 

Complex Analysis * Complex analysis. 92b:32002 

Wuppertal * Complex analysis. 92b:32002 


Items with secondary classifications in 32-06 


(Coen, Salvatore) see Seminar: Geometry, 92f:00021 

(Dimovski, Ivan H.) see Complex analysis and applications ’87, 92d:30002 

(Kiryakova, Virginia S.) see Complex analysis and applications 87, 92d:30002 

(Kiihnau, R.) see Geometric function theory and applications of complex analysis to 
mechanics: studies in complex analysis and its applications to partial differential equations, 
92h:00021 

(Mond, D. M.Q.) see Singularity theory and its applications, 92d:00035 

(Montaldi, James) see Singularity theory and its applications, 92d:00035 

(Mshimba, Ali Seif) see Functional analytic methods in complex analysis and applications to 
partial differential equations, 92i:00023 

(Tutschke, Wolfgang) see Geometric function theory and applications of complex analysis to 
mechanics: studies in complex analysis and its applications to partial differential equations, 
92h:00021 and Functional analytic methods in complex analysis and applications to partial 
differential equations, 92i:00023 


Items listed otherwise than by author 
Bologna * Seminari di Geometria. 1988-1991. [Geometry Seminars. 1988-1991] 
92f:00021 
Colloquium: 
Theory of Differential Equations in the Complex Field * Equations différentielles dans le 
champ complexe. Vol. III. (French) [Differential equations in the complex field. Vol. 
III] 92m:00040 
Complex analysis and applications °87 * Complex analysis and applications ’87. 92d:30002 
Complex analytic geometry and related h ith tical physics and complex analytic 
geometry * Fukuso kaiseki kikagaku to sono shdhen no kenkyd—sari butsuri to fukuso 
kaiseki kika. (Japanese) [Complex analytic geometry and related research h ical 
physics and complex analytic geometry] 92i:00015 
Conference: 
Complex Analysis and Applications * Complex analysis and applications ’87. 92d:30002 
Complex Analysis and its Applications to Partial Differential Equations * Geometric 
function theory and applications of complex analysis to mechanics: studies in complex 
analysis and its applications to partial differential equations. 2. 92h:00021 
Coventry * Singularity theory and its applications. Part I. 92d:00035 
Differential equations in the complex field * Equations différentielles dans le champ 
complexe. Vol. III. (French) [Differential equations in the complex field. Vol. IIT] 
92m:00040 
Equations différentielles dans le champ complexe * Equations différentielles dans le champ 
complexe. Vol. III. (French) [Differential equations in the complex field. Vol. IIT] 
92m:00040 
Functional analytic methods in complex analysis and applications to partial differential 
equations * Functional analytic methods in complex analysis and applications to partial 
differential equations. 92i:00023 
Geometric function theory and applications of complex analysis to mechanics: studies in 
complex analysis and its applications to partial differential equations * Geometric 
function theory and applications of complex analysis to mechanics: studies in complex 











1992 


analysis and its applications to partial differential equations. 2. 92h:00021 

Halle * Geometric function theory and applications of complex analysis to mechanics: 
studies in complex analysis and its applications to partial differential equations. 2. 
92h:00021 

Lecture Notes in Mathematics * Singularity theory and its applications. Part I. 92d:00035 

Seminar: 

Geometry * Seminari di Geometria. 1988-1991. [Geometry Seminars. 1988-1991] 

92:00021 
Singularity theory and its applications * Singularity theory and its applications. Part I. 
92d:00035 
Strasbourg * Equations différentielles dans le champ complexe. Vol. III. (French) 
[Differential equations in the complex field. Vol. IIT] 92m:00040 
Symposium: 

Complex Analytic Geometry and Related R h— Mathematical Physics and Complex 
Analytic Geometry * Fukuso kaiseki kikagaku to sono shdhen no kenky0—sari butsuri 
to fukuso kaiseki kika. (Japanese) [Complex analytic geometry and related research— 
mathematical physics and complex analytic geometry] 92i:00015 

Singularity Theory and its Applications * Singularity theory and its applications. Part I. 
92d:00035 

Trieste * Functional analytic methods in complex analysis and applications to partial 
differential equations. 92i:00023 

Varna * Complex analysis and applications 87. 92d:30002 

Workshop: 

Functional Analytic Methods in Complex Analysis and Applications to Partial Differential 
Equations * Functional analytic methods in complex analysis and applications to 
partial differential equations. 92i:00023 





32Axx Holomorphic functions of several complex 
variables 


32A05 Power series, series of functions 


Adepoju, J. A. On a result of Whittaker for several complex variables in hyperspheres. 
92a:32001 

Avanissian, Vazgain (with Supper, Raphaéle) Fonctionnelles analytiques et sommes 
de séries de puissances a coefficients produits de polynémes orthogonaux. (English 
summary) [Analytic functionals and sums of power series whose coefficients are products 
of orthogonal polynomials] 92c:32002 

Burbea, Jacob (with Kwak, Do Young) Norm and Taylor coefficients estimates of 
holomorphic functions in balls. 92h:32002 

Gromov, V. P. Criteria for the convergence of series of exponentials in function spaces. 
(Russian) 92k:32002 

Khudaiberganov, G. (with Yusef, N. N.) Multiple series of several matrices in C"[(2 x 2]. 
(Russian. Uzbek summary) 92b:32004 

Kwak, Do Young see Burbea, Jacob, 92h:32002 

Pap, Endre On the generalized Dirichlet series of several complex variables. 92a:32002 

Ray, Brajakishore On the maximum term of the derivatives of entire functions in several 
complex variables represented by multiple power series. 92¢e:32002 

Siciak, Jézef On series of homogeneous polynomials and their partial sums. 92d:32004 

— Singular sets of separately analytic functions. 92a:32003 

Supper, Raphaéle see Avanissian, Vazgain, 92c:32002 

Yusef, N. N. see Khudaiberganov, G., 92b:32004 


Items with secondary classifications in 32A05 


Tsikh, A. K. Conditions for absolute convergence of series of Taylor coefficients of 
meromorphic functions of two variables. (Russian) 92h:32003 


32A07 Special domains (Reinhardt, Hartogs, tube domains, etc.) 


Oeljeklaus, Karl Une remarque sur le groupe des automorphismes holomorphes de do- 
maines tubes dans C”. (English summary) [A remark on the holomorphic automorphism 
group of tube domains in C"] 92f:32001 

Shaimkulov, B. A. Reconstruction of holomorphic functions in circular domains from their 
values on certain sets of uniqueness. (Russian) 92a:32004 

Shimizu, Satoru Holomorphic equivalence problem for a certain class of unbounded 
Reinhardt domains in C?. 92m:32003 


Items with secondary classifications in 32A07 

Bedford, Eric (with Pinchuk, S. I.) Domains in C"*! with noncompact automorphism 
group. 92f:32024 

Casadio Tarabusi, Enrico (with Trapani, Stefano) Envelopes of holomorphy of Hartogs and 
circular domains. 92h:32014 

Chaumat, Jacques (with Chollet, Anne-Marie) Régularité héldérienne de l’opérateur 9 sur 
le triangle de Hartogs. (English summary) [Hélder regularity of the 3-operator on the 
Hartogs triangle] 92k:32005 

Chollet, Anne-Marie see Chaumat, Jacques, 92k:32005 

Curto, Rail E. Operator theory on Reinhardt domains. 92j:47052 

Dzhrbashyan, M. M. (with Karapetyan, A.O.) Integral representations for some weighted 
classes of functions holomorphic in matrix domains. 92j:32006 

Gong, Sheng (with Wang, Shi Kun; Yu, Qi Huang) The growth theorem for biholomorphic 
mappings in several complex variables. 92i:32026 

Huang, Lie De The Cauchy integral of many complex variables, passive operators and 
multidimensional dispersion relations. (Chinese. English summary) 92j:32016 

Karapetyan, A. O. Integral representations of weighted spaces of functions that are 
holomorphic in tube domains. (Russian. English and Armenian summaries) 92g:32008 

— see also Dzhrbashyan, M. M., 92j:32006 

Khenkin, G. M. see Polyakov, P. L., 92b:32008 

Kim, Kang Tae Biholomorphic mappings between quasicircular domains in C”. 92j:32078 


32A Holomorphic functions of several complex variables 


32A15 


— Automorphism groups of certain domains in C” with a singular boundary. 92j:32117 

Lu, Qi Keng The various kernels of classical domains and classical manifolds. 92m:32042 

Pinchuk, S.I. see Bedford, Eric, 92f:32024 

Polyakov, P. L. (with Khenkin, G. M.) Integral formulas for solution of the 9-equation, and 
interpolation problems in analytic polyhedra. (Russian) 92b:32008 

Ptak, Marek Reflexivity of multiplication operators in certain domains in C”. (Russian 
summary) 92e:47051 

Ransford, T. J. (with White, M. C.) Holomorphic self-maps of the spectral unit ball. 
92g:32049 

Sergeev, A.G. On complex analysis in the future tube. (see 92d:30002) 

Sheu, Albert Jeu-Liang How are the Toeplitz C*-algebras of Reinhardt domains affected by 
taking pseudoconvex hulls? 92g:46088 

— Reinhardt domains, boundary geometry, and Toeplitz C*-algebras. 92a:46068 

— Isomorphism of the Toeplitz C*-algebras for the Hardy and Bergman spaces on certain 
Reinhardt domains. 92k:47054 

Shirokov, N. A. The Bergman kernel in a neighborhood of the diagonal for domains that are 
close to ellipsoids. (Russian. English summary) 92f:32039 

Trapani, Stefano see Casadio Tarabusi, Enrico, 92h:32014 

Wang, Shi Kun see Gong, Sheng; et al., 92i:32026 

White, M.C. see Ransford, T. J., 92g:32049 

Yu, Qi Huang see Gong, Sheng; et al., 92i:32026 

Zolotarev, V. A. Functions holomorphic in a tube domain and their applications. (see 
92d:30002) 


32A10 Holomorphic functions 


Gao, Tang An see Wang, Ze Ke; et al., 92d:32005 

Jakébezak, Piotr Division by a holomorphic matrix in strictly pseudoconvex domains. 
92¢:32003 

Kishka, Z. M.G. Enumerative maximum modulus sets of polynomials of two complex 
variables. (Arabic summary) 92b:32005 

Samaris, N. The extreme points of a class of functions with positive real part. 92j:32003 

Shi, Ji Huai Inequalities for the integral means of holomorphic functions and their 
derivatives in the unit ball of C”. 92¢:32004 

Wang, Ze Ke (with Gao, Tang An) The Hurwitz theorem for several complex variables. 
(Chinese. English summary) 92d:32005 

Yulmukhametov, R.S. Homogeneous convolution equations. (Russian) 92¢:32005 

Zolotarev, V. A. Functions holomorphic in a tube domain and their applications. (see 
92d:30002) 


Items with secondary classifications in 32A10 

Bonneau, Pierre (with Cumenge, Anne) Approximation d’opérateurs d’extension minimale 
et de division. [Approximation of minimal extension operators and of division operators] 
92¢:32006 

Cumenge, Anne see Bonneau, Pierre, 92c:32006 

Diederich, Klas (with Herbort, G.) Local extension of holomorphic L?-functions with 
weights. 92h:32025 

Dupain, Y. Extension a la dimension n d’un théoréme de Ortel et Schneider. [Extension to 
dimension n of a theorem of Ortel and Schneider] 92£:32006 

Grushevskii, S. P. Estimates for distributions of boundary values of functions that are 
analytic in a polydisc. (Russian) 92j:32015 

Herbort, G. see Diederich, Klas, 92h:32025 

Kajimoto, Hiroshi A note on L? estimates for the 8 operator on a Stein manifold. 
924:32021 

Krok, Anna (with Mazur, Tomasz) The Kaehlerian structures and reproducing kernels. 
92m:32013 

Mazur, Tomasz see Krok, Anna, 92m:32013 

Ouyang, Cai Heng An extension theorem for Bloch functions on the ball. (Chinese) 
92¢:32009 

Ramey, Wade (with Ullrich, David C.) Bounded mean oscillation of Bloch pull-backs. 
92i:32004 

Shaimkulov, B. A. Reconstruction of holomorphic functions in circular domains from their 
values on certain sets of uniqueness. (Russian) 92a:32004 

Stanton, Nancy K. The Riemann mapping nontheorem. 92m:32001 

Ullrich, David C. see Ramey, Wade, 92i:32004 

Zaslavskaya, M. I. Some representations of uniform algebras on the unit circle and 
polytorus. (Russian. English and Armenian summaries) 92g:46067 


32A15 Entire functions 


Avanissian, Vazgain (with Supper, Raphaéle) Sur les fonctions entiéres arithmétiques au 
sens d’Abel de plusieurs variables. (English summary) [On entire arithmetic functions of 
several variables in the sense of Abel] 92k:32003 

Kolomeitsev, S. V. On expansions of entire functions of exponential type in quasipower 
bases in the space C”. (Russian) (see 92d:28002) 

Kuzbekov, T. T. see Napalkov, V. V., 92b:32006 

Napalkov, V. V. (with Kuzbekov, T. T.) Ona countable system of convolution equations. 
(Russian) 92b:32006 

Supper, Raphaéle see Avanissian, Vazgain, 92k:32003 

Trembinska, A.M. A uniqueness theorem for entire functions of two complex variables. 
92g:32004 

Wen, Tao A Schwarz lemma for holomorphic mappings in C". (Chinese) 92e:32003a 

— A Schwarz lemma for holomorphic mappings in C” (continued). (Chinese) 92¢:32003b 

Zolozhuk, P. A. A representation of the solution of an inhomogeneous operator equation in 
the class of entire functions of several complex variables. (Russian) (see 92d:28002) 


Items with secondary classifications in 32A15 


Abul-Ez, M. A. (with Sayyed, K. A.) On sets of polynomials associated with entire 
functions. 92h:30055 





32A15 


— (with Sayyed, K. A.) On integral operator sets of polynomials of two complex variables. 
92a:32007 

Adepoju, J. A. On a result of Whittaker for several complex variables in hyperspheres. 
92a:32001 

Avanissian, Vazgain Quelques applications des fonctionelles analytiques. [Some applica- 
tions of analytic functionals] 92d:46105 

Iwasaki, Katsunori On solutions of the Poincaré equation. 92¢:32033 

Papush, D. E. Entire functions of several variables with a regular set of “plane” zeros. 
(Russian) 92m:32004 

Ray, Brajakishore On the maximum term of the derivatives of entire functions in several 
complex variables represented by multiple power series. 92e:32002 

Sayyed, K. A. see Abul-Ez, M. A., 92a:32007 and 92h:30055 


32A17 Special families of functions (e.g. normal families) 


Aladro, Gerardo (with Krantz, Steven G.) A criterion for normality in C”. 92j:32004 
Krantz, Steven G. see Aladro, Gerardo, 92j:32004 


32A20 Meromorphic functions 


Neff, C. Andrew Boundary convergence of functions in the meromorphic Nevanlinna class. 
92g:32005 

Shiffman, Bernard Separately meromorphic functions and separately holomorphic 
mappings. 92j:32005 

Tsikh, A. K. Conditions for absolute convergence of series of Taylor coefficients of 
meromorphic functions of two variables. (Russian) 92h:32003 


Items with secondary classifications in 32A20 


Latterodt, C. H. A meromorphic extension of Oka-Weil approximation in a Stein manifold. 
92d:32019 


32A22 Nevanlinna theory (local); growth estimates; other 
inequalities {For geometric theory, see 32H25, 32H30.} 


Downarowicz, Maigorzata On exceptional cones for partial type. (see 92d:30002) 

Janik, Adam On approximation of analytic functions and generalized orders. 92k:32004 

Morzhakov, V. V. Convolution equations in convex domains of C”. (see 92d:30002) 

Papush, D. E. Entire functions of several variables with a regular set of “plane” zeros. 
(Russian) 92m:32004 


Items with secondary classifications in 32A22 


Atsuji, Atsushi Erratum: “Some inequalities for some increasing additive functionals of 
planar Brownian motion and an application to Nevanlinna theory” [J. Fac. Sci. Univ. 
Tokyo Sect. IA Math. 37 (1990), no. 1, 171-187; MR 91i:60199]. 92d:60082 

Ha Huy Khoai La hauteur des fonctions holomorphes p-adiques de plusieurs variables. 
(English summary) [Height for p-adic holomorphic functions of several variables] 
92:32059 

Lou, Zeng Jian (with Zhang, Wen Jun) The growth theorem and the Koebe 4-theorem for 
biholomorphic mappings on polydiscs. (Chinese. English summary) 92k:32038 

Zhang, Wen Jun see Lou, Zeng Jian; et al., 92k:32038 


32A25 Integral representation 


Aizenberg, L. A. * ®opmyzb! Kapnemaka B KOMIJIeKCHOM aHanu3e. (Russian) [Carleman 
formulas in complex analysis] 92b:32007 

Amar, E. L?-estimates for 3 in C. 92g:32006 

Bonneau, Pierre (with Cumenge, Anne) Approximation d’opérateurs d’extension minimale 
et de division. [Approximation of minimal extension operators and of division operators] 
92¢:32006 

Chaumat, Jacques (with Chollett, Anne-Marie) Estimées C** pour l’équation du = f dans 
les convexes. [C*:* estimates for the equation Ju = f in convex subsets] 92h:32004 

— (with Chollet, Anne-Marie) Régularité héldérienne de l’opérateur 8 sur le triangle de 
Hartogs. (English summary) [Hélder regularity of the 9-operator on the Hartogs triangle] 
92k:32005 

Chen, Shu Jin Range-Siu formulas with weight factors. (Chinese. English summary) 
92:32002 

— Integral representations of holomorphic functions in an analytic family. (Chinese. English 
summary) 92g:32007 

— Dissection of some integral representations in several complex variables. (Chinese. 
English summary) 92k:32006 

Chollet, Anne-Marie see Chaumat, Jacques, 92k:32005 

Chollett, Anne-Marie see Chaumat, Jacques, 92h:32004 

Cumenge, Anne see Bonneau, Pierre, 92c:32006 

Diederich, Klas (with Ohsawa, Takeo) On the parameter dependence of solutions to the 0- 
equation. 92f:32003 

Dzhrbashyan, M. M. (with Karapetyan, A. O.) Integral representations for some weighted 
classes of functions holomorphic in matrix domains. 92j:32006 

Frontczak, Maria (with Miodek, Andrzej) Weil’s formulae and multiplicity. 92m:32005 

Hatziafratis, Telemachos Integral formulas with weight factors. 92m:32006 

Karapetyan, A. O. Integral representations of weighted spaces of functions that are 
holomorphic in tube domains. (Russian. English and Armenian summaries) 92g:32008 

— see also Dzhrbashyan, M. M., 92}:32006 

Khenkin, G. M. see Polyakov, P. L., 92b:32008 

Li, Lun Huan Two theorems on integral representations of a nondegenerate Weil polyhe- 
dron. (Chinese. English summary) 92j:32007 

— A replacement formula for singular integrals over nondegenerate Weil polyhedral 
domains. (Chinese. English summary) 92k:32007 

— see also Qiu, Chun Hui; et al., 92k:32008 

Miodek, Andrzej see Frontczak, Maria, 92m:32005 

Oheawa, Takeo see Diederich, Klas, 92f:32003 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


1992 426 


Peters, Klaus Solution operators for the 9-equation on nontransversal intersections of 
strictly pseudoconvex domains. 92m:32007 

Polking, John C. The Cauchy-Riemann equations in convex domains. 92g:32009 

Polyakov, P. L. (with Khenkin, G. M.) Integral formulas for solution of the -equation, and 
interpolation problems in analytic polyhedra. (Russian) 92b:32008 

Qiu, Chun Hui The Koppelman-Leray-Norguet formula of type (p,q) on Stein manifolds. 
(Chinese summary) 92m:32008 

— (with Li, Lun Huan) Boundary properties of integral representations of real nondegener- 
ate Weil polyhedra on Stein manifolds. (Chinese. English summary) 92k:32008 

— see also Zhong, Tong De; et al., 92m:32009 

Sergeev, A.G. On complex analysis in the future tube. (see 92d:30002) 

Takegoshi, Kensh6 Application of a certain integral formuia to complex analysis. 
92g:32010 

Yao, Zong Yuan Integral representations with holomorphic kernels on a bounded domain in 
the space C”. (Chinese. English summary) 92h:32005 

Zhong, Tong De On the extension of (p,q) differential forms from boundary. 92k:32009 

— (with Qiu, Chun Hui) 8-closed extension of (p,q) differential forms in C”. (Chinese. 
English summary) 92m:32009 


Items with secondary classifications in 32A25 

Agranovskii, M. L. Poisson integrals in Mébius-invariant spaces in the complex ball. 
(Russian) 92¢:32008 

Andersson, Mats (with Passare, Mikael) Complex Kergin interpolation and the Fantappié 
transform. 92j:32046 

Berenstein, Carlos A. (with Yger, Alain) Effective Bezout identities in Q[z),---, Zn]. 
92f:32004 

— (with Yger, Alain) Une formule de Jacobi et ses conséquences. [A Jacobi formula and its 
representations] 92a:32005 

Berndtsson, Bo Cauchy-Leray forms and vector bundles. 92¢:32012 

Chaumat, Jacques (with Chollet, Anne-Marie) Estimations héldériennes pour les équations 
de Cauchy-Riemann dans les convexes compacts de C”. [Hélder estimates for Cauchy- 
Riemann equations in compact convex sets inC"] 92i:32015 

Choa, Jun Soo (with Kim, Hong Oh) Homogeneous polynomials satisfying Cauchy integral 
equalities. 92b:32010 

Chollet, Anne-Marie see Chaumat, Jacques, 92i:32015 

Huang, Lie De The Cauchy integral of many complex variables, passive operators and 
multidimensional dispersion relations. (Chinese. English summary) 92j:32016 

Khurumov, Yu. V. see Krasikova, N. S., 92g:32018 

Kim, Hong Oh see Choa, Jun Soo, 92b:32010 

Krasikova, N.S. (with Khurumov, Yu. V.) Reconstruction of holomorphic functions of 
several variables from their values on a set of uniqueness. (Russian) 92g:32018 

Krivosheev, A.S. Uniqueness of supports of analytic functionals. (Russian) (see 92f:00019) 

Laurent-Thiébaut, Christine Sur la résolution des équations de Cauchy-Riemann tan- 
gentielles pour les formes 4 support compact dans les variétés CR. (English summary) 
[Solving tangential Cauchy-Riemann equations for forms with compact support in CR- 
manifolds] 92j:32070 

Ouchi, Sunao An integral representation of singular solutions and removable singularities of 
solutions to linear partial differential equations. 92b:35034 

Papush, D. E. Entire functions of several variables with a regular set of “plane” zeros. 
(Russian) 92m:32004 

Passare, Mikael see Andersson, Mats, 92j:32046 

Polking, John C. The Cauchy-Riemann equations in convex domains. 92j:32058 

Sekerin, A. B. Integral representation of plurisubharmonic functions. (Russian) 92i:32012 

Shaw, Mei-Chi L? estimates for local solutions of 3, on strongly pseudo-convex CR 
manifolds. 92b:32028 

Ubse, Jan Integral operators on interpolation sets in C”. 92j:32045 

Waelbroeck, Lucien Holomorphic functions taking their values in a g-space and the Cauchy- 
Fantappié formula. 92i:46044 

Yger, Alain see Berenstein, Carlos A., 92a:32005 and 92f:32004 


32A27 Local theory of residues [see also 32C30] 


Berenstein, Carlos A. (with Yger, Alain) Effective Bezout identities in Q[z),---, Zn]. 
92£:32004 

— (with Yger, Alain) Une formule de Jacobi et ses conséquences. [A Jacobi formula and its 
representations] 92a:32005 

Biernat, Grzegorz Reduction of two-dimensional residues to the one-dimensional case. 
(Polish summary) 92k:32010 

— On the equivalence of covering and parametric multiplicities. (Polish summary) 
92k:32011 

Kytmanov, A. M. Logarithmic derivative of the resultant of a system of algebraic equations. 
(Russian) 92b:32009 

Shatalov, V. E. see Sternin, B. Yu., (92b:58001) 

Sternin, B. Yu. (with Shatalov, V. E.) On Leray’s residue theory [in Global analysis and 
nonlinear equations (Russian), 159-167, Voronezh. Gos. Univ., Voronezh, 1988; MR 
90j:32006]. (see 92b:58001) 

Yger, Alain see Berenstein, Carlos A., 92a:32005 and 92f:32004 

Yuzhakov, A. P. A local analogon of the theorem for the complete sum of residues. (see 
92d:30002) 


Items with secondary classifications in 32A27 

Dickenstein, Alicia M. (with Sessa, Carmen) Duality methods for the membership 
problem. 92m:13021 

— (with Sessa, Carmen) An effective residual criterion for the membership problem in 
C[z,--+, Zn]. 92k:13011 : 

Frolov, S. V. Multidimensional Leray residues and effective masses of a lattice model. 
(Russian. English summary) 92k:81131 

Frontczak, Maria (with Miodek, Andrzej) Weil’s formulae and multiplicity. 92m:32005 

Miodek, Andrzej see Frontczak, Maria, 92m:32005 

Sessa, Carmen see Dickenstein, Alicia M., 92k:13011 and 92m:13021 





1992 


32A30 Other generalizations of function theory of one complex 
variable (should also be assigned at least one classification 
number from Section 30) {For functions of several 
hypercomplex variables, see 30G35.} 


Mazur, Ryszard (with Ruszczyk, Irena) On some extremal problems in the classes of 
holomorphic functions of two complex variables. (see 92d:30002) 

Patka, Janina On polynomial mappings having conjugate zeros. (Polish summary) 
92£:32005 

Pap, Endre The space of the generalized Dirichlet series of several complex variables on a 
polydisc. (Serbo-Croatian summary) 924:32006 

Ruszczyk, Irena see Mazur, Ryszard, (92d:30002) 

Shirinbekov, M. On the theory of the generalized Cauchy-Riemann system in two complex 
variables. (Russian) 92m:32010 

Yang, Pi Wen Riemann boundary value problems for functions of several complex variables 
in a generalized polycylinder domain. (Chinese. English summary) 92k:32012 


Items with secondary classifications in 32A30 

Abul-Ez, M. A. (with Sayyed, K. A.) On sets of polynomials associated with entire 
functions. 92h:30055 

Gong, Sheng (with Zheng, Xue An) Distortion theorem for biholomorphic mappings in 
transitive domains. I. 92j:32077 

Kishka, Z. M.G. Enumerative maximum modulus sets of polynomials of two complex 
variables. (Arabic summary) 92b:32005 

Koranyi, Adam (with Reimann, Hans Martin) Quasiconformal mappings on CR manifolds. 
92b:32029 

Krok, Anna (with Mazur, Tomasz) The Kaehlerian structures and reproducing kernels. 
92m:32013 

Lou, Zeng Jian (with Zhang, Wen Jun) The growth theorem and the Koebe }-theorem for 
biholomorphic mappings on polydiscs. (Chinese. English summary) 92k:32038 

Malonek, Helmuth (with Miller, Bernd) Zur Giltigkeit eines Satzes vom Phragmén- 
Lindeléfschen Typ fiir Lésungen einer verallgemeinerten Beltramigleichung im R”*!. [On 
the validity of a Phragmén-Lindeléf-type theorem for solutions of a generalized Beltrami 
equation in R”*+!] 92m:30087 

Mazur, Tomasz see Krok, Anna, 92m:32013 

Miiller, Bernd see Malonek, Helmuth, 92m:30087 

Pertici, Donato Trace theorems for regular functions of several quaternion variables. 
92i:30043 

Price, G. Baley * An introduction to multicomplex spaces and functions. 92a:30047 

Ramey, Wade (with Ullrich, David C.) Bounded mean oscillation of Bloch pull-backs. 
92i:32004 

Reimann, Hans Martin see Koranyi, Adam, 92b:32029 

Riihentaus, J. (with Tamrazov, P.M.) Subharmonic and plurisubharmonic extension of 
functions. (Russian summary) 92m:31005 

Samaris, N. The extreme points of a class of functions with positive real part. 92j:32003 

Sayyed, K. A. see Abul-Ez, M. A., 92h:30055 

Skwarczyriski, Maciej L?-angles and the Genchev transform. (see 92d:30002) 

Tamrazov, P.M. see Riihentaus, J., 92m:31005 

(Taussky, Olga) see Price, G. Baley, 92a:30047 

Trembinska, A. M. A uniqueness theorem for entire functions of two complex variables. 
92g:32004 

Ulirich, David C. see Ramey, Wade, 92i:32004 

Vinogradov, V.S. Spinor systems. (Russian) 92j:35155 

Zhang, Wen Jun see Lou, Zeng Jian; et al., 92k:32038 

Zheng, Xue An see Gong, Sheng, 92j:32077 

Znamenskaya, L. N. Interpolation of Gevrey class functions in a closed disk and ball. 
(Russian) 92f:30053 


32A35 H?-spaces [see also 32M15, 42B30, 43A85, 46315] 


Adachi, Kenzé An approximation theorem on some convex domains. 92g:32011 

Amar, E. On the corona problem. 92h:32006 

Cegrell, Urban An inequality for analytic functions. 92j:32008 

Chang, Der-Chen E. (with Krantz, Steven G.) #? regularities for NIS operators on weakly 
pseudo-convex domains of finite type in C?. 92m:32011 

Cohn, William S. Tangential characterizations of Hardy-Sobolev spaces. 92j:32009 

Kolaski, Clinton J. On weighted Bergman spaces over star-shaped circular domains. (Arabic 
summary) 92k:32013 

Krantz, Steven G. see Chang, Der-Chen E., 92m:32011 

Nakazi, Takahiko Szegé’s theorem on a bidisc. 92¢:32007 


Items with secondary classifications in 32A35 

Ahern, Patrick (with Cascante,Carmen) Exceptional sets for Poisson integrals of potentials 
on the unit sphere in C”, p < 1. 92j:32014 

Burbea, Jacob (with Kwak, Do Young) Norm and Taylor coefficients estimates of 
holomorphic functions in balls. 92h:32002 

Cascante, Carmen see Ahern, Patrick, 92j:32014 

Choa, Jun Soo (with Choe, Boo Rim) A Littlewood-Paley type identity and a characteriza- 
tion of BMOA. 92j:32010 

Choe, Boo Rim see Choa, Jun Soo, 92j:32010 

Coburn, L. A. Toeplitz operators, quantum mechanics, and mean oscillation in the Bergman 
metric. 92j:47045 

Hahn, Kyong T. (with Youssfi, El Hassan) .&-harmonic Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C”. 92j:46047a 

— (with Youssfi, El Hassan) Erratum to: “#-harmonic Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C” ”. 92j:46047b 

Jevtié, Miroljub (with Pavlovié, Miroslav) On the Hahn-Banach extension property in 
Hardy and mixed norm spaces on the unit ball. 92j:46043 

Knopf, Peter M. L? and Sobolev space mapping properties of the Szegé operator for the 
polydisc. 92d:47045 


32A Holomorphic functions of several complex variables 


32A40 


Krantz, Steven G. Invariant metrics and the boundary behavior of holomorphic functions 
on domains in C". 92f:32007 

Kwak, Do Young see Burbea, Jacob, 92h:32002 

Merryfield, Kent G. (with Watson, Saleem) A local algebra structure for H? of the polydisc. 
92k:46084 

Nakazi, Takahiko Norms of Hankel operators on a bidisc. 92i:47026a 

— Errata to: “Norms of Hankel operators on a bidisc”. 92i:47026b 

Pavlovi¢, Miroslav see Jevtié, Miroljub, 92j:46043 

Sharma, Som Datt Idempotent composition operators and several complex variables. 
92d:47047 

Shi, Ji Huai Coefficient multipliers of spaces of functions holomorphic in the unit ball of 
C". 92j:32012 

Stroethoff, Karel (with Zheng, De Chao) Toeplitz and Hankel operators on Bergman spaces. 
92¢:47044 

Watson, Saleem see Merryfield, Kent G., 92k:46084 

Youssfi, El Hassan see Hahn, Kyong T., 92j:46047a and 92j:46047b 

Zhang, Gen Kai Hankel operators on Hardy spaces and Schatten classes. 92m:47058 

— Norm inequalities in weighted Bergman spaces. 92k:32014 

Zheng, De Chao see Stroethoff, Karel, 92e:47044 

Zhu, Ke He Positive Toeplitz operators on weighted Bergman spaces of bounded symmetric 
domains. 92f:47022 


32A37 Other spaces of holomorphic functions (e.g. bounded mean 


oscillation (BMOA), vanishing mean oscillation (VMOA) 
in n dimensions) [see also 46Exx] 


Agranovskii, M. L. Poisson integrals in Mébius-invariant spaces in the complex ball. 
(Russian) 92¢:32008 

Choa, Jun Soo (with Kim, Hong Oh) Homogeneous polynomials satisfying Cauchy integral 
equalities. 92b:32010 

— (with Choe, Boo Rim) A Littlewood-Paley type identity and a characterization of BMOA. 
92j:32010 

Choe, Boo Rim see Choa, Jun Soo, 92j:32010 

Choi, U Jin see Kwak, Do Young, 92j:32011 

Jevti¢, Miroljub On the Carleson measure characterization of BMOA functions on the unit 
ball. 92e:32004 

Kim, Hong Oh see Choa, Jun Soo, 92b:32010 

Kuzbekov, T. T. Some ideals in rings of entire functions. (Russian) 924:32007 

Kwak, Do Young (with Choi, U Jin) A generalization of multiplier theorem to the ball. 
92j:32011 

Mannanov, M. M. Description of a class of analytic functionals. (Russian) 92h:32007 

Ouyang, Cai Heng An extension theorem for Bloch functions on the ball. (Chinese) 
92c:32009 

Pavlovi¢é, Miroslav Inequalities for the gradient of eigenfunctions of the invariant Laplacian 
in the unit ball. 92d:32008 

Ramey, Wade (with Ullrich, David C.) Bounded mean oscillation of Bloch pull-backs. 
92i:32004 

Shi, Ji Huai Coefficient multipliers of spaces of functions holomorphic in the unit ball of 
C". 92j:32012 

Ullrich, David C. Maximal operators in Besov spaces and bounded holomorphic functions 
in the ball. 92a:32006 

— see also Ramey, Wade, 92i:32004 

Wulan, Hasi 2-Carleson measures and Bloch functions on a polydisc. (Chinese. English 
summary) 

Zhang, Gen Kai Norm inequalities in weighted Bergman spaces. 92k:32014 

Zhu, Ke He Functions of bounded mean oscillation in the Bergman metric on bounded 
symmetric domains. 92j:32013 


Items with secondary classifications in 32A37 

Cegrell, Urban Representing measures in the spectrum of H™(Q). 92j:32044 

Cohn, William S. Tangential characterizations of Hardy-Sobolev spaces. 92j:32009 

Dzhrbashyan, M. M. (with Karapetyan, A. O.) Integral representations for some weighted 
classes of functions holomorphic in matrix domains. 92j:32006 

Feldman, Mark Mean oscillation, weighted Bergman spaces, and Besov spaces on the 
Heisenberg group and atomic decompositions. 92j:46045 

Hu, Zhang Jian The BMO, and Bloch functions on two-connected planar domains. 
(Chinese. English summary) 92k:30052 

Karapetyan, A. O. see Dzhrbashyan, M. M.., 92j:32006 

Ligocka, Ewa On the regularity of coanalytic Toeplitz operators. 92j:47047 

Lu, Ke Ping Hankel operators on Bergman spaces of several complex variables. (Chinese) 
92k:47050 

Nakazi, Takahiko Szegé’s theorem on a bidisc. 92c:32007 

Parfenov, O. G. On the properties of embedding operators of some classes of analytic 
functions. (Russian) 92k:46032 

Popénov, S. V. On a weighted space of sequences of functions that are analytic in an 
unbounded convex domain. (Russian) (see 92:00019) 

Putinar, Mihai On invariant subspaces of several variable Bergman spaces. 92f:46023 

Shamoyan, F. A. Diagonal mapping and problems of representation in anisotropic spaces of 
functions that are holomorphic in a polydisk. (Russian) 92h:46077 


32A40 Boundary behavior 


Ahern, Patrick (with Cascante,Carmen) Exceptional sets for Poisson integrals of potentials 
on the unit sphere in C", p < 1. 92j:32014 

Cascante, Carmen see Ahern, Patrick, 92j:32014 

Dupain, Y. Extension a la dimension n d’un théoréme de Ortel et Schneider. [Extension to 
dimension n of a theorem of Ortel and Schneider] 92f:32006 

Grellier, Sandrine Comportement des fonctions holomorphes dans les directions complexes 
tangentes d’un ouvert de C” de type fini. (English summary) [Behavior of holomorphic 





32A40 


functions in complex tangential directions in a domain of finite type in C”] 92d:32009 

Grushevskii, S. P. Estimates for distributions of boundary values of functions that are 
analytic in a polydisc. (Russian) 92j:32015 

Huang, Lie De The Cauchy integral of many complex variables, passive operators and 
multidimensional dispersion relations. (Chinese. English summary) 92j:32016 

Krantz, Steven G. Invariant metrics and the boundary behavior of holomorphic functions 
on domains in C". 92f:32007 


Items with secondary classifications in 32A40 

Agranovskii, M. L. (with Semenov, A. M.) Boundary analogues of the Hartogs theorem. 
(Russian) 92g:32021 

Alexander, H. Boundary behavior of certain holomorphic maps. 92¢:32031 

Alinhac, Serge (with Baouendi, M. S.; Rothschild, Linda Preiss) Unique continuation and 
regularity at the boundary for holomorphic functions. 924:32033 

Baouendi, M.S. see Alinhac, Serge; et al., 92d:32033 

Douglas, Ronald G. (with Yan, Ke Ren) On the rigidity of Hardy submodules. 92d:47009 

Gowrisankaran, Kohur Polydiscs and nontangential limits. 92j:31011 

Jakébezak, Piotr Division by a holomorphic matrix in strictly pseudoconvex domains. 
92¢:32003 

Krotov, V.G. On the boundary behavior of functions in Hardy-type spaces. (Russian) 
92¢:46050 

Kytmanov, A.M. Holomorphic continuation of CR-functions with singularities on a 
hypersurface. (Russian) 92e:32008 

Nagel, Alexander (with Rosay, Jean-Pierre) Maximum modulus sets and reflection sets. 
(French summary) 92j:32049 

Neff, C. Andrew Boundary convergence of functions in the meromorphic Nevanlinna class. 
92g:32005 

Qiu, Chun Hui see Zhong, Tong De; et al., 92m:32009 

Rosay, Jean-Pierre see Nagel, Alexander, 92j:32049 

Rothschild, Linda Preiss see Alinhac, Serge; et al., 924:32033 

Semenov, A. M. see Agranovskii, M. L., 92g:32021 

Smirnov, M. M. On Kneser’s embedded edge theorem. (Russian) 92k:32021 

Yan, Ke Ren see Douglas, Ronald G., 92d:47009 


Zhong, Tong De (with Qiu, Chun Hui) 9-closed extension of (p,q) differential forms in C”. 


(Chinese. English summary) 92m:32009 


32A45 Hyperfunctions [see also 46F15] 


Marti, J.-A. Sur la rigidité comparée de fonctions, distributions, ou hyperfonctions 
analytiques par rapport 4 un groupe de variables. (English summary) [Comparative 
rigidity of analytic functions, distributions and hyperfunctions with respect to a set of 
variables] 92g:32012 

Tajima, Shinichi Unique continuation theorem for CR-hyperfunctions. 92d:32010 


Items with secondary classifications in 32A45 


Kowata, Atsutaka On the construction of spherical hyperfunctions on R?+?. 92h:35033 

Lysik, Grzegorz Generalized Taylor expansions of singular functions. 92g:46044 

Maro, Masakazu Invariant hyperfunctions on regular prehomogeneous vector spaces of 
commutative parabolic type. 92d:32043 

Plis, Maria E. The Mellin analytic functionals and the Laplace-Beltrami operator on the 
Minkowski half-plane. 92g:46045 


32A99 None of the above, but in this section 


Abul-Ez, M. A. (with Sayyed, K. A.) On integral operator sets of polynomials of two 
complex variables. 92a:32007 

Ahern, Patrick (with Rudin, Walter) .@-harmonic products. 92g:32013 

Niki¢, Mioljub LR-holomorphic functions. (see 92d:30002) 

Rudin, Walter see Ahern, Patrick, 92g:32013 

Sayyed, K. A. see Abul-Ez, M. A., 92a:32007 


Items with secondary classifications in 32A99 

Gao, Tang An (with Wang, Ze Ke) On the number of zeroes of exponential systems. 
92k:65088 

Kola¥, Martin Cells of harmonicity. 92m:32018 

Shatalov, V. E. see Sternin, B. Yu., 92k:46071 

Sternin, B. Yu. (with Shatalov, V. E.) The Fourier-Maslov transformation in a space of 
multivalued analytic functions. (Russian) 92k:46071 

Vakarchuk, S. B. Quasi-widths of classes of analytic functions of two complex variables. 
(Russian) 92m:32021 

Wang, Ze Ke see Gao, Tang An, $2k:65088 


32Bxx Local analytic geometry [see also 13-XX and 14- 
XX] 


Items with secondary classifications in 32Bxx 
(Klimek, Maciej) see Lojasiewicz, Stanistaw, 92g:32002 
Lojasiewicz, Stanislaw * Introduction to complex analytic geometry. 92g:32002 


32B05 Analytic algebras and generalizations, preparation 
theorems 


Bierstone, Edward (with Milman, Pierre D.) Local analytic invariants. 92a:32008 
Milman, Pierre D. see Bierstone, Edward, 92a:32008 


Items with secondary classifications in 32B05 
Bakhtin, V.I. Weierstrass preparation theorem for finitely smooth modules. 92d:58013 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 1992 428 


Bartenwerfer, Wolfgang Die Beschranktheit der Stiickzahl der Fasern K-analytischer 
Abbildungen. [The boundedness of the number of fibers of K-analytic mappings] 
92e:32017 

Bierstone, Edward (with Milman, Pierre D.) Flatness in analytic mappings. I. On an 
announcement of Hironaka. 92¢:32010 

Izumi, Shuzo Along a Moishezon space. I. Increase, vanishing and convergence of functions. 
92b:32017 

Milman, Pierre D. see Bierstone, Edward, 92c:32010 


32B10 Germs of analytic sets 


Hauser, Herwig (with Miiller, Gerd) Analytic varieties versus integral varieties of Lie 
algebras of vector fields. 92j:32017 

Mostowski, Tadeusz Tangent cones and Lipschitz stratifications. 92f:32008 

Miller, Gerd see Hauser, Herwig, 92j:32017 

Namba, Makoto On finite Galois covering germs. 92e:32005 

Parusitiski, Adam Lipschitz stratification of real analytic sets. 92a:32009 

Spallek, Karlheinz Product decomposition of nonreduced space germs. 92j:32018 


Items with secondary classifications in 32B10 

Tworzewski, Piotr (with Winiarski, Tadeusz) Cycles of zeroes of holomorphic mappings. 
(Russian summary) 92d:32029 

Winiarski, Tadeusz see Tworzewski, Piotr, 92d:32029 


32B15 Analytic subsets of affine space 


Dloussky, Georges (with Tworzewski, Piotr; Winiarski, Tadeusz) On separately algebraic 
sets. 92b:32011 

Tworzewski, Piotr see Dloussky, Georges; et al., 92b:32011 

Winiarski, Tadeusz see Dloussky, Georges; et al., 92b:32011 


Items with secondary classifications in 32B15 

Krasiriski, Tadeusz On branches at infinity of a pencil of polynomials in two complex 
variables. 92j:32121 

Mostowski, Tadeusz A criterion for Lipschitz equisingularity. (Russian summary) 
92b:32038 


32B20 Semi-analytic sets and subanalytic sets [see also 14P15] 


Bierstone, Edward (with Milman, Pierre D.) Geometric and differential properties of 
subanalytic sets. 92h:32008 

— (with Milman, Pierre D.) Flatness in analytic mappings. I. On an announcement of 
Hironaka. 92c¢:32010 

Coste, Michel (with Roy, Marie-Frangoise) Encore une démonstration de l’existence de 
stratifications satisfaisant la condition w de Verdier. (English and Russian summaries) 
[Another proof of the existence of stratifications satisfying Verdier’s condition w] 
92b:32012 

Kurdyka, Krzysztof A counterexample to subanalyticity of an arc-analytic function. 
92j:32019 

Lojasiewicz, Stanislaw Théoreme de Pawlucki. La formule de Stokes sous-analytique. 
[Pawlucki’s theorem. The subanalytic Stokes formula] 92j:32020 

— (with Wachta, K.; Stasica, J.) Stratifications sous-analytiques et la condition de Verdier. 
[Subanalytic stratifications and the Verdier condition] 92j:32021 

Milman, Pierre D. see Bierstone, Edward, 92c:32010 and 92h:32008 

Pawlucki, Wieslaw On relations among analytic functions and geometry of subanalytic sets. 
(Russian summary) 92f:32009 

Raby, Gilles Distance aux fibres d’un sous-analytique. [Distance to the fibers of a subana- 
lytic set] 92d:32011 

Roy, Marie-Frangoise see Coste, Michel, 92b:32012 

Spallek, Karlheinz Differentiability implies analyticity on analytic and semianalytic spaces. 
92f:32010 

Stasica, J. see Lojasiewicz, Stanistaw; et al., 92j:32021 

Wachta, K. see Lojasiewicz, Stanistaw; et al., 92j:32021 


Items with secondary classifications in 32B20 

Andradas, C. (with Becker, Eberhard) A note on the real spectrum of analytic functions on 
an analytic manifold of dimension one. 92¢:14055 

Becker, Eberhard see Andradas, C., 92c:14055 

Charbonnel, Jean-Yves Sur certains sous-ensembles de l’espace euclidien. (English 
summary) [On certain subsets in Euclidean space] 92m:14074 

Lion, Jean-Marie (with Roche, Claude André; Rolin, Jean-Philippe) Variétés de Rolle de 
formes algébriques. (English summary) [Rolle manifolds of algebraic forms] 92c:14054 

Moussu, R. (with Roche, Claude André) Théorie de Hovanskii et probleme de Dulac. 
[Khovanskii’s theory and the Dulac problem] 92e:58169 

Orro, Patrice Tangents limites, cone de Whitney et régularité par intersection. (English 
summary) [Limit tangents, the Whitney cone and regularity under intersection] 
92£:58008 

Plesniak, Wieslaw Applications of Markov’s inequality in differential analysis. (Polish) 
92£:26043 

Roche, Claude André see Lion, Jean-Marie; et al., 92c:14054 and Moussu, R., 92e:58169 

Rolin, Jean-Philippe see Lion, Jean-Marie; et al., 92c:14054 

Schapira, Pierre Operations on constructible functions. 92h:32012 

Shiota, Masahiro Triangulation of subanalytic sets. 92a:32010 


32B25_ Triangulation and related questions 
Shiota, Masahiro Triangulation of subanalytic sets. 92a:32010 





429 1992 


32B99 None of the above, but in this section 


Achilles, Riidiger (with Tworzewski, Piotr; Winiarski, Tadeusz) On improper isolated 
intersection in complex analytic geometry. 924:32012 

Tworzewski, Piotr see Achilles, Riidiger; et al., 92d:32012 

Winiarski, Tadeusz see Achilles, Riidiger; et al., 92d:32012 


Items with secondary classifications in 32B99 

Berenstein, Carlos A. (with Yger, Alain) Bounds for the degrees in pclynomial equations. 
92j:32033 

Ji, Shanyu (with Kollar, Janos; Shiffman, Bernard) A global Lojasiewicz inequality for 
algebraic varieties. 92e:32007 

Kollar, Janos see Ji, Shanyu; et al., 92e:32007 

Shiffman, Bernard see Ji, Shanyu; et al., 92e:32007 

Yger, Alain see Berenstein, Carlos A., 92j:32033 


32Cxx General theory of analytic spaces 


32C05_ Real-analytic manifolds, real-analytic spaces 
[see also 14Pxx, 58A07] 


Bierstone, Edward (with Milman, Pierre D.) Arc-analytic functions. 92a:32011 
Milman, Pierre D. see Bierstone, Edward, 92a:32011 


Items with secondary classifications in 32C05 

Schapira, Pierre Operations on constructible functions. 92h:32012 

Spallek, Karlheinz Differentiability implies analyticity on analytic and semianalytic spaces. 
92£:32010 

Stengle, Gilbert Constraints on the angular distribution of the zeros of a polynomial of low 
complexity. 92b:30004 


32C07 Real-analytic sets, complex Nash functions 
[see also 14P15, 14P20] 


Tancredi, A. (with Tognoli, A.) On the extension of Nash functions. 92c¢:32011 
Tognoli, A. see Tancredi, A., 92c:32011 


Items with secondary classifications in 32C07 

Beretta, Lucia Some remarks about the tubular neighbourhood of singular varieties. (Italian 
summary) 92f:14060 

Parusitiski, Adam Lipschitz stratification of real analytic sets. 92a:32009 


32C10 Complex manifolds {For almost complex manifolds, see 
53C15.} 


Ulugay, Cengiz On holomorphically separable n-dimensional complex manifolds. (Turkish 
summary) 92g:32014 


Items with secondary classifications in 32C10 
Lucia (with Bassanelli, Giovanni) A balanced proper modification of P3. 

92k:32018 

Bassanelli, Giovanni see Alessandrini, Lucia, 92k:32018 

Candelas, Philip Lectures on complex manifolds. (see 92c:81006) 

Cordero, Luis A. Compact complex nilmanifolds. Some recent results. (see 92b:00044) 

— (with Fernandez, Marisa Luisa; Gray, Alfred) The Frélicher spectral sequence for 
compact nilmanifolds. 92b:53112 

Fernandez, Marisa Luisa see Cordero, Luis A.; et al., 92b:53112 

Gray, Alfred see Cordero, Luis A.; et al., 92b:53112 

Greene, Robert E. The geometry of complex manifolds: an overview. 92g:32016 

Ji, Shanyu Smoothing of currents and Moisezon manifolds. 92k:32019 

Kodama, Akio On complex manifolds exhausted by biholomorphic images of generalized 
complex ellipsoids E(n;,---,s;P1,--+,Ds). 92k:32042 

Siu, Yum Tong Some recent results related to the uniformization problem in several 
complex variables. 92m:32054 

Wang, Min Sheng The Rauch comparison theorem and model manifolds in differential 
geometry. (Chinese) 92f:53044 

Zaidenberg, M. G. Holomorphic rigidity of polynomial polyhedrons and quasihomogeneity 
[in Topological and geometric methods of analysis (Russian), 106-121, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91j:32002]. (see 92b:58001) 

— Additions and corrections to the paper: “Isotrivial families of curves on affine surfaces, 
and the characterization of the affine plane” [Izv. Akad. Nauk SSSR Ser. Mat. 51 (1987), 
no. 3, 534-567; MR 88k:14021]. (Russian) 92m:14046 


32C11 Complex supergeometry [see also 14A22, 14M30, 58A50] 


Dolgikh, S. N. (with Roslyi, A. A.; Schwarz, Albert) Supermoduli spaces. 92i:32005 

Gates, Sylvester James, Jr. Prepotentials: a Beltrami parametrization of super Riemann 
surfaces. 92f:32011 

Giddings, Steven B. A brief introduction to super Riemann surface theory. 92a:32012 

— Punctures on super Riemann surfaces. 92j:32022 

LeBrun, Claude (with Poon, Yat Sun; Wells, R. O., Jr.) Projective embeddings of complex 
supermanifolds. 92f:32012 

Lukierski, Jerzy (with Nowicki, Anatol Andrzej) Quaternionic six-dimensional (su- 
per)twistor formalism and composite (super)spaces. 92b:32013 

Merkulov, S. A. Paraconformal supermanifolds and nonstandard N-extended supergravity 
models. 92j:32023 

Myung, Yun Soo N = 2 supermodular transformation on supertorus. 924:32013 

Nowicki, Anatol Andrzej see Lukierski, Jerzy, 92b:32013 


32C General theory of analytic spaces 


Poon, Yat Sun see LeBrun, Claude; et al., 92f:32012 

Roslyi, A. A. see Dolgikh, S. N.; et al., 92i:32005 

Schwarz, Albert see Dolgikh, S. N.; et al., 92i:32005 

Takahasi, Wataru Super-quasi-conformal transformation and Schiffer variation on super- 
Riemann surface. 92f:32013 

Takama, Michiaki Super Beltrami differentials. 92k:32015 

Wells, R. O., Jr. see LeBrun, Claude; et al., 92f:32012 


Items with secondary classifications in 32C11 


Bartocci, Claudio Some topics in the theory of super line bundles. 92d:14043 

Bershadskii, M. A. On measure over supermoduli space and holomorphic factorization. 
92d:32028 

Bruzzo, Ugo (with Hernandez Ruipérez, Daniel) A theory of Chern classes for super vector 
bundles. 92k:58016 

Bryant, Peter R. Structure of super moduli space: a splitting theorem for ST(I). 92m:32033 

Cohn, J. D. The compactification divisor of supermoduli space and superconformal field 
theory. (see 92:81008) 

Distler, Jacques (with Nelson, Philip) Semirigid supergravity. 92b:81171 

Duplii, S. A. On semigroup nature of superconformal symmetry. 92k:58017 

Falqui, Gregorio (with Reina, Cesare) Supermoduli and superstrings. 92f:14054 

Galperin, A. S. (with Ogievetskii, O. V.) Holonomy groups, complex structures and D = 4 
topological Yang-Mills theory. 92i:81321 

Grosche, Christian Selberg supertrace formula for super Riemann surfaces, analytic 
properties of Selberg super zeta-functions and multiloop contributions for the fermionic 
string. 92e:58225 

Harvey, William J. Projective and superconformal structures on surfaces. 92m:14069 

Hernandez Ruipérez, Daniel see Bruzzo, Ugo, 92k:58016 

Manin, Yu. 1. (with Penkov, I. B.) The formalism of left and right connections on 
supermanifolds. 92i:58012 

— * Topics in noncommutative geometry. 92k:58024 

Monastyrskii, M.1. (with Natanzon, S. M.) The moduli space of superconformal 
instantons in sigma models. 92k:81206a 

— (with Natanzon, S.M.) Errata: “The moduli space of superconformal instantons in sigma 
models”. 92k:81206b 

Myung, Yun Soo General supermodular transformation on N = 3 super Riemann surfaces 
of genus 1. 92a:14061 

Natanzon, S. M. see Monastyrskii, M. I., 92k:81206a and 92k:81206b 

Nelson, Philip see Distler, Jacques, 92b:81171 

Ogievetskii,O. V. see Gal’perin, A. S., 92i:81321 

Penkov, I. B. see Manin, Yu. I., 92i:58012 

Rabin, Jeffrey M. Supermanifolds and super Riemann surfaces. (see 92b:81011) 

— The algebraic geometry of super Riemann surfaces. 92i:14049 

Reina, Cesare see Falqui, Gregorio, 92f:14054 

Schmitt, Thomas! On supergeometry and its application in physics. 92d:58006 

— Supergeometry and Hermitian conjugation. 92m:58006 

Teofilatto, Paolo Sheaves of graded Lie algebras over variable Riemann surfaces and a 
paired Weil-Petersson inner product. 92m:32036 

Uehara, Shozo (with Yasui, Yukinori) The Weil-Petersson Kahler form on the super 
Teichmiiller space. 92j:32074 

— (with Yasui, Yukinori) On the symplectic geometry of the super Teichmiiller space. 
92m:32037 

Yankov, Christian L. On the germs of superanalytic functions. (see 92d:30002) 

Yasui, Yukinori see Uehara, Shozo, 92j:32074 and 92m:32037 


32C15 Complex spaces 


Cynk, Slawomir A note on Liouville analytic spaces. 92a:32013 
Golovin, V. D. Homologically trivial spaces. (Russian) 92j:32024 


Items with secondary classifications in 32C15 

Do Duc Thai Royden-Kobayashi pseudometric and tautness of normalizations of complex 
spaces. (Italian summary) 92j:32087 

Hamm, Helmut A. Morse theory on singular spaces and Lefschetz theorems. 92b:32044 

Manaresi, Mirella Permanence of local properties under hyperplane sections. 92f:14007 

Mihalache, Nicolae Voisinages spéciaux pour les sous-espaces de Stein. (English summary) 
[Special neighborhoods for Stein subspaces] 92f:32016 

Varouchas, J. The 99-equation on complex spaces. 92j:32030 


32C16 CR-manifolds 


Baouendi, M.S. (with Rothschild, Linda Preiss) Minimality and the extension of functions 
from generic manifolds. 92j:32025 

Chéng, Jih Hsin Curvature functions for the sphere in pseudo-Hermitian geometry. 
92k:32016 

Chirka, E.M. An introduction to the geometry of CR manifolds. (Russian) 92m:32012 

Grachev, V. V. A uniqueness theorem for CR-functions on generating CR-manifolds. 
(Russian) 92g:32015 

Lewandowski, Jerzy (with Nurowski, Pawel) Cartan’s chains and Lorentz geometry. 
92:32014 

Miner, Robert R. Spherical CR manifolds with amenable holonomy. $2b:32014 

Musso, Emilio Homogeneous pseudo-Hermitian Riemannian manifolds of Einstein type. 
92¢:32006 

Nurowski, Pawel see Lewandowski, Jerzy, 92f:32014 

Rothschild, Linda Preiss see Baouendi, M. S., 92j:32025 

Shiga, Kiyoshi (with Takeuchi, Shigeru) Left invariant CR-structures on group manifolds. 
92£:32015 

Takeuchi, Shigeru see Shiga, Kiyoshi, 92f:32015 

Yau, Stephen S.-T. Regularity for the Harvey-Lawson solutions to the complex Plateau 
problem. 92k:32017 





32C16 


Items with secondary classifications in 32C16 

Detraz, Jacqueline (with Trépreau, Jean-Marie) Une caractérisation des quadriques 
hermitiennes dans C”. [A characterization of Hermitian quadrics inC”] 92¢:32019 

Fefferman, Charles L. (with Kohn, J. J.; Machedon, M.) Hélder estimates on CR manifolds 
with a diagonalizable Levi form. 92a:32019 

Hill, C. Denson Counterexamples to Newlander-Nirenberg up to the boundary. 92m:32027 

Hirachi, Kengo Transformation law for the Szegé projectors on CR manifolds. 92:32028 

Kohn, J. J. see Fefferman, Charles L.; et al., 92a:32019 

Luk, Hing Sun (with Yau, Stephen S.-T.) Obstructions to embedding of real (2” — 1)- 
dimensional compact CR manifolds in C"*!. 92k:32030 

Machedon, M. see Fefferman, Charles L.; et al., 92a:32019 

Pushnikov, A. Yu. Holomorphicity of CR-mappings into a space of large dimension. 
(Russian) 92a:32033 

Schwarz, Wolfgang On g-convex exhaustion functions of complements of CR-submanifolds. 
92£:32030 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


1992 430 


Eroshkin, O. G. On a topological property of the boundary of an analytic subset of a strictly 
pseudoconvex domain in C?. (Russian) 92j:32040 

Schwartz, Marie-Hélene * Champs radiaux sur une stratification analytique. (French) 
[Radial fields on an analytic stratification] 92i:32041 


32C25 Analytic subsets and submanifolds 


Chirka, E.M. * Complex analytic sets. 92b:32016 
Coltoiu, Mihnea Traces of Runge domains on analytic subsets. 92h:32010 
(Hoksbergen, R. A.M.) see Chirka, E. M., 92b:32016 


Izumi, Shuzo Along a Moishezon space. I. Increase, vanishing and convergence of functions. 
92b:32017 


Khurumov, Yu. V. see Krasikova, N. S., 92g:32018 
Krasikova, N.S. (with Khurumov, Yu. V.) Reconstruction of holomorphic functions of 
several variables from their values on a set of uniqueness. (Russian) 92g:32018 





Shaw, Mei-Chi L? existence theorems for the 8,-Neumann problem on strongly pseudocon- 
vex CR manifolds. 92j:32060 

Tanno, Shukichi Pseudo-conformal invariants of type (1,3) of CR manifolds. 92i:53068 

Trépreau, Jean-Marie Sur la propagation des singularités dans les variétés CR. (English 
summary) [On the propagation of singularities in CR manifolds] 92b:58229 

— see also Detraz, Jacqueline, 92c:32019 

Webster, S.M. The integrability problem for CR vector bundles. 92m:32028 

Yau, Stephen S.-T. see Luk, Hing Sun, 92k:32030 


32C17 Kahler geometry {For differential-geometric methods see 
53C55.} 


Balas, Andrew On the holomorphic sectional curvature of complete domains in C” that are 
not Stein. 92h:32009 

Delanoé, Philippe Extending Calabi’s conjecture to complete noncompact Kahler manifolds 
which are asymptotically C”, n > 2. 92d:32014 

Greene, Robert E. The geometry of complex manifolds: an overview. 92g:32016 

Jost, Jiirgen (with Yau, Shing-Tung) Harmonic maps and Kahler geometry. 92j:32026 

Krok, Anna (with Mazur, Tomasz) The Kaehlerian structures and reproducing kernels. 
92m:32013 

Mazur, Tomasz A note about unitary and sectional curvature. (see 92d:30002) 

— see also Krok, Anna, 92m:32013 

Mok, Ngaiming Topics in complex differential geometry. 92m:32014 

— Aspects of Kahler geometry on arithmetic varieties. 92j:32027 

Ohsawa, Takeo A vanishing theorem on K4hler manifolds with certain stratified structures. 
92i:32006 

Tian, Gang (with Yau, Shing-Tung) Complete Kahler manifolds with zero Ricci curvature. 
II. 92j:32028 

Wu, Hung Hsi Polynomial functions on complete Kahler manifolds. 92g:32017 

Yau, Shing-Tung A review of complex differential geometry. 92j:32029 

— see also Jost, Jiirgen, 92j:32026 and Tian, Gang, 92j:32028 

Yeung, Sai-Kee Integrality of characteristic numbers on complete Kahler manifolds. 
92b:32015 


Items with secondary classifications in 32C17 

Burillo, Josep The Poincaré-Hodge polynomial of a symmetric product of compact Kahler 
manifolds. (Spanish. English summary) 92j:32108 

Dorfmeister, Josef Special algebraic properties of Kahler algebras. 92b:32037 

— (with Guan, Zhuang Dan) Pseudo-Kahlerian homogeneous spaces admitting a reductive 
transitive group of automorphisms. 92k:32058 

Grimm, Richard Geometry of supergravity-matter coupling. 92g:83080 

Gromov, Mikhael L. Kahler hyperbolicity and L2-Hodge theory. 92a:58133 

Guan, Zhuang Dan see Dorfmeister, Josef, 92k:32058 

Kakolewski, Thomas The geometry of some K4hler-Einstein manifolds. 92e:53063 

Mok, Ngaiming * Metric rigidity theorems on Hermitian locally symmetric manifolds. 
92d:32046 

Nitta, Takashi Yang-Mills connections on quaternionic Kahler quotients. 92g:53022 

Ohnita, Yoshihiro (with Udagawa, Seiichi) Complex-analyticity of pluriharmonic maps and 
their constructions. 92g:58026 

(Pedersen, Henrik) see Tod, K. Paul, 92b:53073 

(Poon, Yat Sun) see Tod, K. Paul, 92b:53073 

Simanca, Santiago R. Kahler metrics of constant scalar curvature on bundles over CP,,_;. 
92m:53115 

Siu, Yum Tong Some recent results related to the uniformization problem in several 
complex variables. 92m:32054 

Strominger, Andrew Special geometry. 92a:53068 

Tod, K. Paul A comment on: “Kdhler surfaces with zero scalar curvature” [Classical 


Quantum Gravity 7 (1990), no. 10, 1707-1719; MR 91i:53057] by H. Pedersen and Y. S. 
Poon. 92b:53073 


Udagawa, Seiichi see Ohnita, Yoshihiro, 92g:58026 
Wong, Bun Schwarz’s lemma and Hermitian manifolds with constant holomorphic 
curvature. 92j:32094 


— A theorem on the uniformization of compact Hermitian manifolds with constant negative 
holomorphic curvature. 92j:32095 


Yeung, Sai-Kee Compactification of Kahler manifolds with negative Ricci curvature. 
92j:32106 


32C18 Topology of analytic spaces 


Mihalache, Nicolae Voisinages spéciaux pour les sous-espaces de Stein. (English summary) 
[Special neighborhoods for Stein subspaces] 92f:32016 


Items with secondary classifications in 32C18 
Cynk, Slawomir A note on Liouville analytic spaces. 92a:32013 


Poletskii, E. A. Complex analytic curves of minimal area in cubes. 92b:32018 


Items with secondary classifications in 32C25 


Bartenwerfer, Wolfgang Die Beschranktheit der Stiickzahl der Fasern K-analytischer 
Abbildungen. [The boundedness of the number of fibers of K-analytic mappings] 
92e:32017 

(Klimek, Maciej) see Lojasiewicz, Stanistaw, 92g:32002 

Lojasiewicz, Stanislaw * Introduction to complex analytic geometry. 92g:32002 

Mihalache, Nicolae Voisinages spéciaux pour les sous-espaces de Stein. (English summary) 
[Special neighborhoods for Stein subspaces] 92f:32016 

Mostowski, Tadeusz A criterion for Lipschitz equisingularity. (Russian summary) 
92b:32038 


32C30 Integration on analytic sets and spaces, currents {For local 
theory, see 32A25 or 32A27.} 


Alessandrini, Lucia (with Bassanelli, Giovanni) A balanced proper modification of P3. 
92k:32018 

Bassanelli, Giovanni see Alessandrini, Lucia, 92k:32018 

Berndtsson, Bo Cauchy-Leray forms and vector bundles. 92c:32012 

Blel, Mongi (with Demailly, Jean-Pierre; Mouzali, Mokhtar) Sur l’existence du cone 
tangent a un courant positif fermé. [Existence of the tangent cone of a closed positive 
current] 92f:32017 

Demailly, Jean-Pierre see Blel, Mongi; et al., 92f:32017 

Dolbeault, Pierre Some problems. (see 92d:32002) 

Doustaing, Louis Ordres de singularités de Martinelli et intégration sur des cycles analy- 
tiques compacts. (English summary) [Orders of Martinelli singularities and integration 
over compact analytic cycles] 92¢:32013 sat 

Jeddi, Ahmed Un cas d’indépendance des courants polaires de f*+” f*-™. (English 
summary) [A case in which the polar sets of f#+” f*-™ are independent] 92h:32011 

Ji, Shanyu Smoothing of currents and Moisezon manifolds. 92k:32019 

Mouzali, Mokhtar see Blel, Mongi:; et al., 92f:32017 


Items with secondary classifications in 32C30 

Andronikof, Emmanuel Intégrales de Nilsson et faisceaux constructibles. (English summary) 
[Nilsson integrals and constructible sheaves] 92k:32072 

Bedford, Eric (with Smillie, John) Polynomial diffeomorphisms of C?: currents, equilib- 
rium measure and hyperbolicity. 92a:32035 

— (with Smillie, John) Polynomial diffeomorphisms of C?. II. Stable manifolds and 
recurrence. 92m:32048 

Berenstein, Carlos A. (with Yger, Alain) Une formule de Jacobi et ses conséquences. [A 
Jacobi formula and its representations] 92a:32005 

Fu, Joseph H. G. On Verdier’s specialization formula for Chern classes. 92k:32073 

Gillet, Henri (with Soulé, Christophe) Arithmetic intersection theory. 92d:14016 

Shatalov, V. E. see Sternin, B. Yu., (92b:58001) 

Sklyarenko, E.G. A multidimensional version of the Cauchy residue theorem. (Russian) 
92k:55004 

Smillie, John see Bedford, Eric, 92a:32035 and 92m:32048 

Soulé, Christophe see Gillet, Henri, 92d:14016 

Sternin, B. Yu. (with Shatalov, V. E.) On Leray’s residue theory [in Global analysis and 
nonlinear equations (Russian), 159-167, Voronezh. Gos. Univ., Voronezh, 1988; MR 
90j:32006]. (see 92b:58001) 

Tajima, Shinichi Residual currents and tensor products of holonomic systems. 92¢:32015 

Yger, Alain see Berenstein, Carlos A., 92a:32005 


32C35 Analytic sheaves and cohomology groups [see also 14F xx, 
18F20, 55N30] 


Golovin, V. D. Analytic Fréchet sheaves of finite type. (Russian) 92f:32018 

Kosarew, Siegmund Grothendieck’s existence theorem in analytic geometry and related 
results. 92¢:32014 

Schapira, Pierre Operations on constructible functions. 92h:32012 


Vajaitu, Viorel A complete topology for the sheaf of sections of a morphic bundle. 
92£:32019 


Varouchas, J. The 00-equation on complex spaces. 92j:32030 


Items with secondary classifications in 32C35 

Aomoto, Kazuhiko g-analogue of de Rham cohomology associated with Jackson integrals. I. 
92g:33028a 

— q-analogue of de Rham cohomology associated with Jackson integrals. II. 92g:33028b 

Bauer, Ingrid (with Kosarew, Siegmund) Some aspects of Hodge theory on noncomplete 
algebraic manifolds. 92g:32056 

D’Agnolo, Andrea (with Zampieri, Giuseppe) Levi’s forms of higher codimensional 
submanifolds. (Italian summary) 92h:32032 





431 1992 


— (with D’Ancona, Piero; Zampieri, Giuseppe) Extension of CR functions to “wedge type” 
domains. (Italian summary) 92h:32033 

D’Ancona, Piero see D’Agnolo, Andrea; et al., 92h:32033 

Forni, Giovanni Functoriality of a class of g-Runge domains. (Italian. English summary) 
92h:32024 

Golovin, V.D. Homologically trivial spaces. (Russian) 92j:32024 

Kazama, Hideaki (with Umeno, Takashi) 9 cohomology of complex Lie groups. 92b:32036 

Kosarew, Siegmund see Bauer, Ingrid, 92g:32056 

Morita, Yasuo On vanishing of cohomologies of rigid analytic spaces. 92¢:32042 

Ohsawa, Takeo Supplement to: “Hodge spectral sequence on compact Kahler spaces” [Publ. 
Res. Inst. Math. Sci. 23 (1987), no. 4, 613-625; MR 89b:32037]. 92:32050 

Umeno, Takashi see Kazama, Hideaki, 92b:32036 

Zampieri, Giuseppe see D’Agnolo, Andrea, 92h:32032 and 92h:32033 


32C36 Local cohomology of analytic spaces 


Items with secondary classifications in 32C36 


Aleksandrov, A.G. Nonisolated hypersurface singularities. 92b:32039 

Fabiano, A. (with Pietramala, Paolamaria) Sur la convexité holomorphe. Théorie locale. 
(English summary) [On holomorphic convexity. Local theory] 92g:32039 

Peternell, Thomas Hodge-Kohomologie und Steinsche Mannigfaltigkeiten. [Hodge 
cohomology and Stein manifolds] 92j:32038 

Pietramala, Paolamaria see Fabiano, A., 92g:32039 

Tajima, Shinichi Residual currents and tensor products of holonomic systems. 92c:32015 

Yau, Stephen S.-T. Regularity for the Harvey-Lawson solutions to the complex Plateau 
problem. 92k:32017 


32C37 Duality theorems 
Chiarellotto, Bruno Duality in rigid analysis. 92d:32015 


Items with secondary classifications in 32C37 
Saito, Morihiko Duality for vanishing cycle functors. 92g:32020 


32C38 Sheaves of differential operators and their modules 
[see also 14F10, 16S32, 35A27, 58G07] 


Burchard, Paul Differential operators on cones. 92h:32013 

Honda, Naofumi On the Z modules described by the inverse image of the smooth map. 
92g:32019 

Malgrange, B. * Equations différentielles a coefficients polynomiaux. (French) [Differential 
equations with polynomial coefficients] 92k:32020 

Mebkhout, Zoghman Le théoréme de positivité de l’irrégularité pour les y-modules. [The 
positivity theorem for the irregularity of Dy-modules] 92j:32031 

Saito, Morihiko Duality for vanishing cycle functors. 92g:32020 

— Y-modules on analytic spaces. 92j:32032 

Schapira, Pierre (with Schneiders, Jean-Pierre) Finitude et classes caractéristiques pour 
les D-modules et les faisceaux constructibles. [Finiteness and characteristic classes for D- 
modules and constructible sheaves] 92d:32016 

— (with Schneiders, Jean-Pierre) Paires elliptiques. II. Classe d’Euler et indice. (English 
summary) [Elliptic pairs. II. Euler class and index] 92d:32017 

Schneiders, Jean-Pierre see Schapira, Pierre, 92d:32016 and 924:32017 

Tajima, Shinichi Residual currents and tensor products of holonomic systems. 92¢:32015 

Uchida, Motoo (with Zampieri, Giuseppe) Second microlocalization at the boundary and 
microhyperbolicity. 92a:32014 

Zampieri, Giuseppe see Uchida, Motoo, 92a:32014 


Items with secondary classifications in 32C38 


Bien, Frédéric V. * D-modules and spherical representations. 92f:22025 

Bressler, Paul (with Finkelberg, M.; Lunts, V.) Vanishing cycles on Grassmannians. 
92£:14051 

Briangon, Joél (with Laurent, Yves; Maisonobe, Philippe) Sur les modules différentiels 
holonomes réguliers, cohérents relativement 4 une projection. (English summary) [On 
regular holonomic modules coherent relative to a projection] 92g:32064 

D’Agnolo, Andrea (with Schapira, Pierre) An inverse image theorem for sheaves with 
applications to the Cauchy problem. 92k:58260 

Fernandes, Teresa Monteiro Formulation des valeurs au bord pour les syst¢mes reguliers. 
[Boundary value formulation for regular systems] 92k:58261 

Finkelberg, M. see Bressler, Paul; et al., 92f:14051 

Gelfand, S.1. (with Manin, Yu. I.) Homological algebra. (Russian) 92a:18003b 

(Houzel, Christian) see Kashiwara, Masaki, 92a:58132 

Illusie, Luc Catégories dérivées et dualité: travaux de J.-L. Verdier. [Derived categories and 
duality: the work of J.-L. Verdier] 92b:18009 

Joshua, Roy Riemann Roch for equivariant D-modules. I. 92d:14006 

— The trace formula for equivariant D-modules and perverse sheaves. 92d:14007 

Kashiwara, Masaki (with Schapira, Pierre) * Sheaves on manifolds. 92a:58132 

Laurent, Yves see Briancon, Joél; et al., 92g:32064 

Lunts, V. see Bressler, Paul; et al., 92f:14051 

Maisonobe, Philippe see Briancon, Joél; et al., 92g:32064 

Manin, Yu. I. see Gelfand, S. I., 92a:18003b 

Ohyama, Yousuke Self-duality and integrable systems. 92d:58086 

Saito, Mutsumi A localization theorem for J-modules. 92g:19007 

Schapira, Pierre see Kashiwara, Masaki, 92a:58132 and D’Agnolo, Andrea, 92k:58260 

Takei, Yoshitsugu The geometry of bicharacteristics and the global existence of holomor- 
phic solutions of systems of linear differential equations. 92k:35013 

Varouchas, J. The 99-equation on complex spaces. 92j:32030 

(Verdier, J.-L.) see Illusie, Luc, 92b:18009 


32D Analytic continuation 


32D15 


Items listed otherwise than by author 


Microlocal analysis of differential equations * Bibun hoteishiki no chokyokusho kaiseki. 
[Microlocal analysis of differential equations] 92h:58186 
Symposium: 
Microlocal Analysis of Differential Equations * Bibun hoteishiki no chokyokusho kaiseki. 
[Microlocal analysis of differential equations] 92h:58186 


32C99 None of the above, but in this section 


Berenstein, Carlos A. (with Yger, Alain) Bounds for the degrees in polynomial equations. 
92j:32033 

Ji, Shanyu (with Kollar, Janos; Shiffman, Bernard) A global Lojasiewicz inequality for 
algebraic varieties. 92e:32007 

Kollar, Janos see Ji, Shanyu; et al., 92¢e:32007 

Shiffman, Bernard see Ji, Shanyu; et al., 92e:32007 

Spallek, Karlheinz (with Tworzewski, Piotr; Winiarski, Tadeusz) Osgood-Hartogs- 
theorems of mixed type. 92b:32019 

Tworzewski, Piotr see Spallek, Karlheinz; et al., 92b:32019 

Winiarski, Tadeusz see Spallek, Karlheinz; et al., 92b:32019 

Yger, Alain see Berenstein, Carlos A., 92j:32033 


32Dxx Analytic continuation 


32D05 Domains of holomorphy 


Khaintsner, P. see Sergeev, A. G., 92i:32007 

Lempert, Laszlé (with Rubel, Lee A.) An independence result in several complex variables. 
92¢:32016 

Rubel, Lee A. see Lempert, Laszl6, 92c:32016 

Sergeev, A. G. (with Khaintsner, P.) The extended matrix disk is a domain of holomorphy. 
(Russian) 92i:32007 

Tovar, Luis Manuel The union problem and domains of holomorphy. 92m:32015 

Zampieri, Giuseppe Tuboids of C” with cone property and domains of holomorphy. 
92i:32008 


Items with secondary classifications in 32D05 

Nguyén Van Khué On the extension of holomorphic maps with values in a complex Lie 
group. 92k:32023 

Ryan, John Domains of holomorphy as initial data for Dirac equations in C". 92j:30051 


32D10 Envelopes of holomorphy 


Bedford, Eric (with Klingenberg, Wilhelm, Jr.) On the envelope of holomorphy of a 2- 
sphere in C?. 92j:32034 

Casadio Tarabusi, Enrico (with Trapani, Stefano) Envelopes of holomorphy of domains in 
C". (see 92b:32002) 

— (with Trapani, Stefano) Envelopes of holomorphy of Hartogs and circular domains. 
92h:32014 

Klingenberg, Wilhelm, Jr. see Bedford, Eric, 92j:32034 

Smirnov, M. M. On Kneser’s embedded edge theorem. (Russian) 92k:32021 

Trapani, Stefano see Casadio Tarabusi, Enrico, 92h:32014 and (92b:32002) 


Items with secondary classifications in 32D10 


Bennequin, Daniel Topologie symplectique, convexité holomorphe et structures de contact 
(d’aprés Y. Eliashberg, D. McDuff et al.). [Symplectic topology, holomorphic convexity 
and contact structures (after Y. Eliashberg, D. McDuff et al.)] 92j:32065 

Gellhaus, Christoph The Hartogs phenomenon and rational curves. 92g:32022 

Krachni, Mostafa Prolongement d’applications holomorphes. (English summary) [Exten- 
sion of holomorphic mappings] 92a:32015 

Loeb, Jean-Jacques Fonctions plurisousharmoniques invariantes sur certains espaces 
homogénes. (English summary) [Invariant plurisubharmonic functions on some 
homogeneous spaces] 92a:32042 


32D15 Continuation of analytic objects 


Agranovskii, M. L. (with Semenov, A. M.) Boundary analogues of the Hartogs theorem. 
(Russian) 92g:32021 

Baouendi, M.S. (with Rothschild, Linda Preiss) A general reflection principle in C?. 
92j:32035 

Ben Yattou, M. L. Extension of analytical objects across p-strongly convex subsets. (see 
92d:30002) 

Dzhakov, Plamen B. (with Mitreva, Mariya) Linear extension operators for the Hermite’s 
interpolation problem on algebraic variety in C". (Russian summary) 92d:32018 

Gellhaus, Christoph The Hartogs phenomenon and rational curves. 92g:32022 

Ivashkovich, S. M. Rational curves and extensions of holomorphic mappings. 92k:32022 

— Hartogs-type theorems for meromorphic mappings, spherical shells and the complex 
Plateau problem. (Russian) 92m:32016 

— Spherical shells as obstructions to the continuation of holomorphic mappings. (Russian) 
92g:32023 

Krachni, Mostafa Prolongement d’applications holomorphes. (English summary) [Exten- 
sion of holomorphic mappings] 92a:32015 

Kytmanov, A. M. Holomorphic continuation of CR-functions with singularities on a 
hypersurface. (Russian) 92e:32008 

Le Mayu Khai see Rogozin, S. V., 92g:32024 

Mitreva, Mariya see Dzhakov, Plamen B., 92d:32018 

Napalkev, V. V. The Laplace transform and continuation of analytic functions. (Russian) 
92i:32009 

Nguyén Van Khué On the extension of holomorphic maps with values in a complex Lie 
group. 92k:32023 





32D15 


Nowak, Krzysztof Jan The extension of holomorphic functions of polynomial growth on 
algebraic sets in C”. 92m:32017 

Rogozin, S. V. (with Le Mayu Khai) Continuation of meromorphic mappings with values in 
a compact Kahler manifold. (Russian) 92g:32024 

Rothschild, Linda Preiss see Baouendi, M. S., 92j:32035 

Semenov, A. M. see Agranovskii, M. L., 92g:32021 

Tuichiev, T. T. Continuation of multivalued functions with discrete singularities. (Russian) 
92a:32016 


Items with secondary classifications in 32D15 

Alexander, H. Boundary behavior of certain holomorphic maps. 92c:32031 

Alinhac, Serge (with Baouendi, M. S.; Rothschild, Linda Preiss) Unique continuation and 
regularity at the boundary for holomorphic functions. 924:32033 

Baouendi, M.S. (with Rothschild, Linda Preiss) Minimality and the extension of functions 
from generic manifolds. 92j:32025 

— (with Rothschild, Linda Preiss) Holomorphic mappings of real analytic hypersurfaces. 
92j:32102 

— see also Alinhac, Serge; et al., 92d:32033 

Bell, Steven R. CR maps between hypersurfaces in C". 92j:32099 

Berndtsson, Bo (with Bruna, Joaquim) Traces of pluriharmonic functions on curves. 
92e:32010 

Bruna, Joaquim see Bernd Bo, 92e:32010 

Chiappari, Stephen A. Holomorphic extension of proper meromorphic mappings. 
92j:32081 

Diederich, Klas (with Herbort, G.) Local extension of holomorphic L?-functions with 
weights. 92h:32025 

Forstnerié, Franc (with Stout, Edgar Lee) A new class of polynomially convex sets. 
92h:32016 

Herbort, G. see Diederich, Klas, 92h:32025 

Igari, Katsuju Characteristic Cauchy problems and analytic continuation of holomorphic 
solutions. 92f:35010 

Khenkin, G. M. see Polyakov, P. L., 92b:32008 

Laurent-Thiébaut, Christine Extension de formes différentielles CR dans une hypersurface 
réelle d’une variété analytique complexe. (English summary) [Extension of CR differen- 
tial forms in a real hypersurface of a complex analytic manifold] 92£:32029 

Lupacciolu, Guido Some global results on extension of CR-objects in complex manifolds. 
92i:32019 

Pinchuk, S.1I. The scaling method and holomorphic mappings. 92i:32031 

Polyakov, P. L. (with Khenkin, G. M.) Integral formulas for solution of the 8-equation, and 
interpolation problems in analytic polyhedra. (Russian) 92b:32008 

Rothschild, Linda Preiss see Alinhac, Serge; et al., 92d:32033; Baouendi, M. S., 92j:32025 
and 92j:32102 

Shirinbekov, M. On the theory of the generalized Cauchy-Riemann system in two complex 
variables. (Russian) 92m:32010 

Stout, Edgar Lee see Forstnerié, Franc, 92h:32016 

Tajima, Shinichi Unique continuation theorem for CR-hyperfunctions. 92d:32010 

Trépreau, Jean-Marie Propagation dans les variétés CR. [Propagation in CR manifolds] 
92d:32024 

Zhong, Tong De On the extension of (p,q) differential forms from boundary. 92k:32009 





32D20 Removable singularities 


Lupacciolu, Guido On the removable singularities of functions of several complex variables. 
(Italian) 92j:32036 
Stout, Edgar Lee A note on removable singularities. (Italian summary) 92h:32015 


Items with secondary classifications in 32D20 

Bando, Shigetoshi Removable singularities for holomorphic vector bundles. 92a:32037 

Karpova, N. G. On the removal of singularities of plurisubharmonic functions. (Russian) 
92¢:32017 

Kytmanov, A. M. Holomorphic continuation of CR-functions with singularities on a 
hypersurface. (Russian) 92e:32008 

Sibuya, Yasutaka * Linear differential equations in the complex domain: problems of 
analytic continuation. 92a:34010 


32D99 None of the above, but in this section 


Kolaf, Martin Cells of harmonicity. 92m:32018 


Shirinbekov, M. On the Hartogs theorem in classes of nonanalytic functions. (Russian) 
92g:32025 


Items with secondary classifications in 32D99 

Diarra, Bertin see Escassut, Alain, 92a:30044 

Ehrenpreis, Leon Lewy unsolvability and several complex variables. 92g:32038 

Escassut, Alain Eléments analytiques non constants a dérivée nulle. [Nonconstant analytic 
elements with zero derivative] (see 92h:00018) 

— (with Diarra, Bertin) Analytic elements with a null derivative on an infraconnected open 
set. 92a:30044 


Jedrzejowski, Mieczystaw The homogeneous transfinite diameter of a compact subset of C’. 
92m:31009 


32Exx Holomorphic convexity 


32E05 Holomorphically convex complex spaces, reduction theory 


Forstnerit, Franc A smooth holomorphically convex disc in C? that is not locally polynomi- 
ally convex. 92m:32019 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


Items with secondary classifications in 32E05 


Coltoiu, Mihnea Traces of Runge domains on analytic subsets. 92h:32010 

Fabiano, A. (with Pietramala, Paolamaria) Sur la convexité holomorphe. Théorie locale. 
(English summary) [On holomorphic convexity. Local theory] 92g:32039 

Fritzsche, Klaus Zur Klassifikation der 1-konvexen komplexen Raume. [On the classifica- 
tion of 1-convex-complex spaces] 92j:32051 

Pietramala, Paolamaria see Fabiano, A., 92g:32039 


32E10 Stein spaces, Stein manifolds 


Alessandrini, Lucia (with Silva, Alessandro) On a theorem of Lelong. 92j:32037 

Coltoiu, Mihnea Some open problems concerning Stein spaces. 92k:32024 

Goldmann, Helmut A function algebraic characterization of Riemann domains. 92k:32025 

Patrizio, Giorgio (with Wong, Pit-Mann) Stein manifolds with compact symmetric center. 
92e:32009 

Peternell, Mathias A characterization of affine varieties. 92g:32026 

Peternell, Thomas Hodge-Kohomologie und Steinsche Mannigfaltigkeiten. [Hodge 
cohomology and Stein manifolds] 92j:32038 

Silva, Alessandro see Alessandrini, Lucia, 92j:32037 

Totaro, Burt Affine varieties and Stein manifolds. 92k:32026 

Wong, Pit-Mann see Patrizio, Giorgio, 92e:32009 


Items with secondary classifications in 32E10 


Bennequin, Daniel Topologie symplectique, convexité holomorphe et structures de contact 
(d’aprés Y. Eliashberg, D. McDuff et al.). [Symplectic topology, holomorphic convexity 
and contact structures (after Y. Eliashberg, D. McDuff et al.)] 92j:32065 

Chiarellotto, Bruno Duality in rigid analysis. 92d:32015 

Golovin, V. D. Homologically trivial spaces. (Russian) 92j:32024 

Ha Huy Khoai (with Nguyén Van Khué) Finite codimensional subalgebras of Stein algebras 
and semiglobally Stein algebras. 92f:32020 

Heinzner, Peter Geometric invariant theory on Stein spaces. 92j:32116 

Kajimoto, Hiroshi A note on L? estimates for the 9 operator on a Stein manifold. 
92d:32021 

Li, Lun Huan see Qiu, Chun Hui; et al., 92k:32008 

Lutterodt, C.H. A meromorphic extension of Oka-Weil approximation in a Stein manifold. 
92d:32019 

Mihalache, Nicolae Voisinages spéciaux pour les sous-espaces de Stein. (English summary) 
[Special neighborhoods for Stein subspaces] 92f:32016 

Nguyén Van Khué see Ha Huy Khoai, 92f:32020 

Patrizio, Giorgio (with Wong, Pit-Mann) Monge-Ampére functions with large center. 
92h:32023 

Qiu, Chun Hui The Koppelman-Leray-Norguet formula of type (p,q) on Stein manifolds. 
(Chinese summary) 92m:32008 

— (with Li, Lun Huan) Boundary properties of integral representations of real nondegener- 
ate Weil polyhedra on Stein manifolds. (Chinese. English summary) 92k:32008 

Tovar, Luis Manuel The union probiem and domains of holomorphy. 92m:32015 

Wong, Pit-Mann see Patrizio, Giorgio, 92h:32023 


32E20 Polynomial convexity 


Bagby, Thomas (with Gauthier, Paul M.) An arc of finite 2-measure that is not rationally 
convex. 92g:32027 

Baribeau, Line (with Harbottle, Sarah) Two new open mapping theorems for analytic 
multivalued functions. 92j:32039 

Boggess, A. (with Dwilewicz, R.; Nagel, Alexander) The hull of holomorphy of a non- 
isotropic ball in a real hypersurface of finite type. 92a:32017 

Dwilewicz, R. see Boggess, A.; et al., 92a:32017 

Eroshkin, O. G. On a topological property of the boundary of an analytic subset of a strictly 
pseudoconvex domain in C2. (Russian) 92j:32040 

Forstnerit, Franc (with Stout, Edgar Lee) A new class of polynomially convex sets. 
92h:32016 

Gauthier, Paul M. see Bagby, Thomas, 92g:32027 

Globevnik, Josip A disc in the ball whose end is an arc. 92k:32027 

Harbottle, Sarah see Baribeau, Line, 92j:32039 

Khudaiberganov, G. On the homogeneous-polynomially convex hull of unions of balls. 
92h:32017 

Kumagai, Donna Solutions of 82u/8z0Z = e” and analytic multivalued functions. 
92j:32041 

Nagel, Alexander see Boggess, A.; et al., 92a:32017 

Rosay, Jean-Pierre A remark on a theorem by F. Forstneri¢. 92b:32020 

Shcherbina, N. V. On the polynomial hull of a two-dimensional sphere in C2. (Russian) 
92h:32018 

— On the polynomial hull of a sphere embedded in C?. (Russian) 92b:32021 

Slodkowski, Zbigniew Polynomial hulls with convex fibers and complex geodesics. 
92b:32022 

Stout, Edgar Lee see Forstnerié, Franc, 92h:32016 

Thomas, Pascal J. Unions minimales de n-plans réels d’enveloppe égale 4 C”. (English 
summary) [Minimal unions of real n-planes with envelope equal to C”] 92j:32042 

Tonev, Toma V. Multi-dimensional analytic structures and uniform algebras. 92j:32043 


Items with secondary classifications in 32E20 

Barrett, David E. Uniqueness for the Dirichlet problem for harmonic maps from the 
annulus into the space of planar discs. 92k:30061 

Bedford, Eric (with Klingenberg, Wilhelm, Jr.) On the envelope of holomorphy of a 2- 
sphere in C?. 92j:32034 

Dzhrbashyan, M. M. (with Karapetyan, A. O.) Integral representations for some weighted 
classes of functions holomorphic in matrix domains. 92j:32006 

Forstneri¢, Franc A smooth holomorphically convex disc in C? that is not locally polynomi- 
ally convex. 92m:32019 

Goldmann, Helmut A function algebraic characterization of Riemann domains. 92k:32025 





433 1992 


Karapetyan, A.O. see Dzhrbashyan, M. M., 92j:32006 

Klingenberg, Wilhelm, Jr. see Bedford, Eric, 92j:32034 

Pinney, Karen R. Line bundle convexity of pseudoconvex domains in complex manifolds. 
92£:32054 

Siciak, Jézef On series of homogeneous polynomials and their partial sums. 92d:32004 


32E25 Algebras of holomorphic functions [see also 30H05, 
46310, 46.315] 


Cegrell, Urban Representing measures in the spectrum of H™(Q). 92j:32044 

Ha Huy Khodi (with Nguyén Van Khué) Finite codimensional subalgebras of Stein algebras 
and semiglobally Stein algebras. 92f:32020 

Nguyén Van Khué see Ha Huy Khodi, 92f:32020 

Ubse, Jan Integral operators on interpolation sets in C". 92j:32045 


Items with secondary classifications in 32E25 

Cascante, Carmen A note on the zero sets of A(B) and A®(B) in transverse curves. (Italian 
summary) 92b:46081 

Frih, El Mostapha Approximation holomorphe globale sur l’union de deux sous-espaces to- 
talement réels maximaux de C”. (English summary) [Global holomorphic approximation 
on the union of two totally real maximal subspaces in C"] 92m:32020 

Globevnik, Josip A disc in the ball whose end is an arc. 92k:32027 

Goldmann, Helmut A function algebraic characterization of Riemann domains. 92k:32025 

Izumi, Shuzo Along a Moishezon space. I. Increase, vanishing and convergence of functions. 
92b:32017 

Jakébezak, Piotr Division by a holomorphic matrix in strictly pseudoconvex domains. 
92¢:32003 

Jimbo, Toshiya (with Sakai, Akira) Peak interpolation sets for pseudo-ellipsoids. 92f:32021 

Kuzbekov, T. T. Some ideals in rings of entire functions. (Russian) 92d:32007 

N ki, M. Gleason-type decompositions for H(B,,) and Lumer’s Hardy algebra of the 
ball. 92m:46076 

Sakai, Akira see Jimbo, Toshiya, 92f:32021 

Timofeev, A. Yu. Die Differentialideale im Ring der ganzen Funktionen, die bei 
vorgegebener Ordnung Minimaltyp besitzen. [The differential ideals in the ring of entire 
functions which at given order have minimal type] 92i:30046 

Zaslavskaya, M. 1. Some representations of uniform algebras on the unit circle and 
polytorus. (Russian. English and Armenian summaries) 92g:46067 





32E30 Holomorphic and polynomial approximation, Runge pairs, 
interpolation 


Andersson, Mats (with Passare, Mikael) Complex Kergin interpolation and the Fantappié 
transform. 92j:32046 

Bloom, Thomas Lagrange interpolants for entire functions on C". 92j:32047 

Cavaretta, A. S., Jr. (with Micchelli, Charles A.; Sharma, Ambikeshwar) A multivariate 
extension of Walsh equiconvergence. 92b:32023 

Daras, Nicholas J. The convergence of Padé-type approximants to holomorphic functions 
of several complex variables. 92i:32010 

Dzhakov, Plamen B. (with Mitreva, Mariya) Hermite’s interpolation of algebraic variety in 
C". (see 92d:30002) 

Frih, El Mostapha Uniform approximation on totally real sets. (French summary) 
92h:32019 

— (with Gauthier, Paul M.) Global holomorphic approximation on the product of curves in 
C". 92g:32028 

— Approximation holomorphe globale sur l’union de deux sous-espaces totalement réels 
maximaux de C”. (English summary) [Global holomorphic approximation on the union 
of two totally real maximal subspaces in C”] 92m:32020 

Gauthier, Paul M. see Frih, El Mostapha, 92g:32028 

Tordan, Andrei Local peak sets and maximum modulus sets in products of strictly 
pseudoconvex domains. (see 92b:32002) 

Jimbo, Toshiya (with Sakai, Akira) Peak interpolation sets for pseudo-ellipsoids. 92f:32021 

Latterodt, C.H. A phic extension of Oka-Weil approximation in a Stein manifold. 
92d:32019 

Micchelli, Charles A. see Cavaretta, A. S., Jr.; et al., 92b:32023 

Mitreva, Mariya see Dzhakov, Plamen B., (92d:30002) 

Passare, Mikael see Andersson, Mats, 92j:32046 

Sakai, Akira see Jimbo, Toshiya, 92f:32021 

Sharma, Ambikeshwar see Cavaretta, A. S., Jr.; et al., 92b:32023 

Thilliez, Vincent Classes de Gevrey non isotropes et interpolation dans les domaines de type 
fini de C?. (English summary) [Nonisotropic Gevrey classes and interpolation in domains 
of finite type in C2] 92h:32020 

Vakarchuk, S. B. Quasi-widths of classes of analytic functions of two complex variables. 
(Russian) 92m:32021 





Items with secondary classifications in 32E30 


Beretta, Lucia Some remarks about the tubular neighbourhood of singular varieties. (Italian 
summary) 92f:14060 

Dzhakov, Plamen B. (with Mitreva, Mariya) Linear extension operators for the Hermite’s 
interpolation problem on algebraic variety in C”. (Russian summary) 92d:32018 

Ha Huy Khodi La hauteur d’une suite de points dans ck et l’interpolation des fonctions 
holomorphes de plusieurs variables. (English summary) [Heights for sequences of points 
in ck and interpolation of holomorphic functions of several variables] 92k:32062 

Kozlowski, Wojciech M. (with Lewicki, Grzegorz) On polynomial approximation in 
modular function spaces. 92¢:46033 

Lewicki, Grzegorz On a theorem of S. N. Bernstein and its application in modular function 
spaces. 92¢:46032 

— see also Koztowski, Wojciech M., 92c:46033 

Mitreva, Mariya see Dzhakov, Plamen B., 92d:32018 

Znamenskaya, L. N. Interpolation of Gevrey class functions in a closed disk and ball. 
(Russian) 92f:30053 


32F Geometric convexity, partial differential operators 


32F05 


32E35 Global boundary behavior of holomorphic functions 


Forstneri¢, Franc Admissible boundary values of bounded holomorphic functions in 
wedges. 92j:32048 

Nagel, Alexander (with Rosay, Jean-Pierre) Maximum modulus sets and reflection sets. 
(French summary) 92j:32049 

Rosay, Jean-Pierre see Nagel, Alexander, 92j:32049 


Items with secondary classifications in 32E35 


Kytmanov, A.M. Holomorphic continuation of CR-functions with singularities on a 
hypersurface. (Russian) 92e:32008 


32E99 None of the above, but in this section 


Boivin, André A remark on the approximation property and tensor approximation on 
complex manifolds. (see 92d:30002) 

Duval, Julien Convexité rationnelle des surfaces lagrangiennes. [Rational convexity of 
Lagrangian surfaces] 92g:32029 

— Une contrainte géométrique pour certaines sous-variétés rationnellement convexes. [A 
geometric constraint for some rationally convex subvarieties] 92g:32030 

Wada, Ryoko A uniqueness set for linear partial differential operators with real coefficients. 
92h:32021 


Items with secondary classifications in 32E99 

Clancey, Kevin F. Representing measures on multiply connected planar domains. 
92¢e:46110 

Cuyt, Annie (with Verdonk, Brigitte) Rational interpolation on general data sets in C”. 
922:65040 

Tonev, Toma V. Multi-tuple hulls. 92k:46087 

Verdonk, Brigitte see Cuyt, Annie, 922:65040 


32Fxx Geometric convexity, partial differential operators 


32F05 Plurisubharmonic functions and generalizations 
[see also 31C10] 


Berndtsson, Bo (with Bruna, Joaquim) Traces of pluriharmonic functions on curves. 
92e:32010 

Bruna, Joaquim see Berndtsson, Bo, 92e:32010 

Karpova, N. G. On the removal of singularities of plurisubharmonic functions. (Russian) 
92¢:32017 

Khusanov, Z. Kh. Capacity properties of g-subharmonic functions. II. (Russian. Uzbek 
summary) 92f:32022 

Kiselman, Christer O. Tangents of plurisubharmonic functions. (Esperanto summary) 
92i:32011 

Korevaar, Jacob Applications of C” capacities. 92j:32050 

Nguyen Thanh Van (with Siciak, Jézef) Fonctions plurisousharmoniques extrémales 
et systemes doublement orthogonaux de fonctions analytiques. (English summary) 
[Extremal plurisubharmonic functions and doubly orthogonal systems of analytic 
functions] 92a:32018 

Poletskii, E. A. Plurisubharmonic functions as solutions of variational problems. 
92h:32022 

Sekerin, A. B. Integral representation of plurisubharmonic functions. (Russian) 92i:32012 

Siciak, Jézef Singular sets of separately analytic functions. 92i:32013 

— see also Nguyen Thanh Van, 92a:32018 


Items with secondary classifications in 32F05 


Coltoiu, Mihnea Local hyperconvexity and local hyperconcavity. 92d:32020 

— Traces of Runge domains on analytic subsets. 92h:32010 wv 

Diederich, Klas (with Ohsawa, Takeo) On the parameter dependence of solutions to the 0- 
equation. 92f:32003 

Lempert, Laszl6 (with Széke, Robert) Global solutions of the homogeneous complex 
Monge-Ampére equation and complex structures on the tangent bundle of Riemannian 
manifolds. 92m:32022 

Loeb, Jean-Jacques Fonctions plurisousharmoniques invariantes sur certains espaces 
homogénes. (English summary) [Invariant plurisubharmonic functions on some 
homogeneous spaces] 92a:32042 

Napalkov, V. V. The Laplace transform and continuation of analytic functions. (Russian) 
92i:32009 

Ohsawa, Takeo see Diederich, Klas, 92f:32003 

Patrizio, Giorgio (with Wong, Pit-Mann) Stein manifolds with compact symmetric center. 
92e:32009 

Peternell, Mathias A characterization of affine varieties. 92g:32026 

Riihentaus, J. (with Tamrazov, P. M.) Subharmonic and plurisubharmonic extension of 
functions. (Russian summary) 92m:31005 

Shi, Ji Huai Inequalities for the integral means of holomorphic functions and their 
derivatives in the unit ball of C”. 92¢:32004 

Szike, Rébert see Lempert, Laszlé, 92m:32022 

Tamrazov, P.M. see Riihentaus, J., 92m:31005 

Taniguchi, Setsuo On the Silov boundary of a pseudoconvex domain in C” with C 2+a 
boundary. 92h:32026 

Wong, Pit-Mann see Patrizio, Giorgio, 92e:32009 

Zhao, Shiying On the weighted L’-integrability of nonnegative -superharmonic 
functions. 92i:31005 

Znamenskii, S. V. Do convex supports of an analytic functional always have a common 
point? (Russian) 92k:46072 





32F07 


32F07 Complex Monge-Ampére operator 


Foote, Robert L. Homogeneous complex Monge-Ampére equations and algebraic embed- 
dings of parabolic manifolds. 92f:32023 

Lempert, Laszlé (with Széke, Robert) Global solutions of the homogeneous complex 
Monge-Ampére equation and complex structures on the tangent bundle of Riemannian 
manifolds. 92m:32022 

Levenberg, Norman (with Okada, Masami) On the Dirichlet problem for the complex 
Monge-Ampére operator. (French summary) 92i:32014 

Okada, Masami see Levenberg, Norman, 92i:32014 

Patrizio, Giorgio (with Wong, Pit-Mann) Monge-Ampére functions with large center. 
92h:32023 

Szike, Rébert see Lempert, Laszlé, 92m:32022 

Wong, Pit-Mann see Patrizio, Giorgio, 92h:32023 


Items with secondary classifications in 32F07 

Abate, Marco (with Patrizio, Giorgio) Uniqueness of complex geodesics and characteriza- 
tion of circular domains. 92k:32040 

Delano, Philippe Extending Calabi’s conjecture to complete noncompact Kahler manifolds 
which are asymptotically C”, n > 2. 92d:32014 

Hachaichi, Rached (with Ramadanov, Ivan P.) On the boundary behavior of a scalar 
biholomorphic invariant in the weakly pseudoconvex case. (Bulgarian summary) 
92c:32028 

Nadel, Alan Michael Multiplier ideal sheaves and K4hler-Einstein metrics of positive scalar 
curvature. 92d:32038 

Patrizio, Giorgio (with Wong, Pit-Mann) Stein manifolds with compact symmetric center. 
92e:32009 

— see also Abate, Marco, 92k:32040 

Ramadanov, Ivan P. see Hachaichi, Rached, 92c:32028 

Tian, Gang On one of Calabi’s problems. 92j:32110 

— (with Yau, Shing-Tung) Complete Kahler manifolds with zero Ricci curvature. II. 
92j:32028 

Wong, Pit-Mann see Patrizio, Giorgio, 92e:32009 

Yau, Shing-Tung see Tian, Gang, 92j:32028 


32F10 q-convexity, g-concavity 


Coltoiu, Mihnea Local hyperconvexity and local hyperconcavity. 92d:32020 

Forni, Giovanni Functoriality of a class of g-Runge domains. (Italian. English summary) 
92h:32024 

Fritzsche, Klaus Zur Klassifikation der 1-konvexen komplexen Raume. [On the classifica- 
tion of 1-convex-complex spaces] 92j:32051 

Fujita, Osamu Domaines pseudoconvexes d’ordre général et fonctions pseudoconvexes 
d’ordre général. [Pseudoconvex domains of general order and pseudoconvex functions of 
general order] 92b:32024 

Ho, Lop-Hing 8-problem on weakly g-convex domains. 92j:32052 

Kondo, Seizo Sur les sociétés de surfaces caractéristiques dans l’espace de deux variables 
complexes. II. Singularité essentielle dégénérative. [On societies of characteristic surfaces 
in the space of two complex variables. II. Degenerative essential singularity] 92b:32025 


Items with secondary classifications in 32F10 

Bolondi, Giorgio Homologie des espaces complexes. [Homology of complex spaces] 
924:32055 

Ho, Lop-Hing Sufficient conditions for subellipticity of the 8-Neumann problem on 
nonpseudoconvex domains. 92m:32023 

Laurent-Thiébaut, Christine Sur la résolution des équations de Cauchy-Riemann tan- 
gentielles pour les formes 4 support compact dans les variétés CR. (English summary) 
[Solving tangential Cauchy-Riemann equations for forms with compact support in CR- 
manifolds] 92j:32070 

— Résolution du 3, a support compact et phénoméne de Hartogs-Bochner dans les variétés 
CR. (English summary) [Solvability of 9, with compact support, and the Hartogs- 
Bochner phenomenon in CR-manifolds] 92j:32069 

— Extension de formes différentielles CR dans une hypersurface réelle d’une variété 
analytique complexe. (English summary) [Extension of CR differential forms in a real 
hypersurface of a complex analytic manifold] 92f:32029 

Ma, Lan Holder and L?-estimates for the 9-equation on nonsmooth strictly g-convex 
domains. 92j:32056 

Schmalz, Gerd Solution of the 8-equation on nonsmooth strictly g-concave domains with 
HOlder estimates and the Andreotti-Vesentini separation theorem. 92f:32026 


32F15 Pseudoconvex domains 


Bedford, Eric (with Pinchuk, S. I.) Domains in C”+! with noncompact automorphism 
group. 92f:32024 

Berteloot, Francois (with Coeuré, G.) Domaines de C?, pseudoconvexes et de type fini ayant 
un groupe non compact d’automorphismes. (English summary) [Pseudoconvex domains 
in C? of finite type with a noncompact automorphism group] 92j:32053 

Christ, Michael Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt 
domains. 92g:32031 

Ceeuré, G. see Berteloot, Francois, 92j:32053 

Derridj, Makhlouf Domaines 4 estimation maximale. [Maximal estimate domains] 
92g:32032 

Diederich, Klas (with Herbort, G.) Local extension of holomorphic L?-functions with 
weights. 92h:32025 

Herbort, G. see Diederich, Klas, 92h:32025 

McNeal, Jeffery D. Local geometry of decoupled pseudoconvex domains. 92g:32033 

Noell, Alan Local versus global convexity of pseudoconvex domains. 92j:32054 

Pinchuk, S.1. see Bedford, Eric, 92f:32024 

Sibony, Nessim Some aspects of weakly pseudoconvex domains. 92g:32034 

Taniguchi, Setsuo On the Silov boundary of a pseudoconvex domain in C” with C?2+@ 
boundary. 92h:32026 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


Items with secondary classifications in 32F15 

Akahori, Takao On the construction of the moduli space for strongly pseudoconvex 
domains. 92j:32072 

Barrett, David E. (with Taylor, B. A.) A generalized Cousin problem for subvarieties of the 
bidisk. 92g:32047 

Berteloot, Francois Hélder continuity of proper holomorphic mappings. 92i:32030 

Bierstone, Edward (with Milman, Pierre D.) Local analytic invariants. 92a:32008 

Boas, Harold P. (with Straube, Emil J.) Sobolev estimates for the 2-Neumann operator on 
domains in C” admitting a defining function that is plurisubharmonic on the boundary. 
92b:32027 

— (with Straube, Emil J.) The Bergman projection on Hartogs domains in C?. 92h:32042 

Bonami, Aline (with Charpentier, Philippe) Comparing the Bergman and the Szegé 
projections. 92¢:32018 

Chang, Der-Chen E. (with Krantz, Steven G.) #” regularities for NIS operators on weakly 
pseudo-convex domains of finite type in C?. 92m:32011 

Charpentier, Philippe see Bonami, Aline, 92c:32018 

Chaumat, Jacques (with Chollet, Anne-Marie) Régularité héldérienne de l’opérateur 3 sur 
le triangle de Hartogs. (English summary) [Hélder regularity of the 9-operator on the 
Hartogs triangle] 92k:32005 

— (with Chollet, Anne-Marie) Estimations héldériennes pour les équations de Cauchy- 
Riemann dans les convexes compacts de C”. {Hélder estimates for Cauchy-Riemann 
equations in compact convex sets in C”] 92i:32015 

Chollet, Anne-Marie see Chaumat, Jacques, 92i:32015 and 92k:32005 

Coltoiu, Mihnea Local hyperconvexity and local hyperconcavity. 92d:32020 

Epstein, Charles (with Melrose, Richard B.; Mendoza, Gerardo A.) Resolvent of the 
Laplacian on strictly pseudoconvex domains. 92i:32016 

Eroshkin, O. G. On a topological property of the boundary of an analytic subset of a strictly 
pseudoconvex domain in C2. (Russian) 92j:32040 

Fadlalla, A. A. On the boundary behaviour of the Carathéodory and Kobayashi distances in 
strongly pseudoconvex domains in C”. 92g:32052 

Forstneri¢, Franc (with Globevnik, Josip) Discs in pseudoconvex domains. 92j:32100 

Fujita, Osamu Domaines pseudoconvexes d’ordre général et fonctions pseudoconvexes 
d’ordre général. [Pseudoconvex domains of general order and pseudoconvex functions of 
general order] 92b:32024 

Globevnik, Josip see Forstnerié, Franc, 92j:32100 

Hachaichi, Rached (with Ramadanov, Ivan P.) On the boundary behavior of a scalar 
biholomorphic invariant in the weakly pseudoconvex case. (Bulgarian summary) 
92¢:32028 

Tordan, Andrei Local peak sets and maximum modulus sets in products of strictly 
pseudoconvex domains. (see 92b:32002) 

Jakébczak, Piotr Division by a holomorphic matrix in strictly pseudoconvex domains. 
92¢:32003 

Kiselman, Christer O. A study of the Bergman projection in certain Hartogs domains. 
92g:32050 

Krantz, Steven G. Convexity in complex analysis. 92g:32001 

— see also Chang, Der-Chen E., 92m:32011 

McNeal, Jeffery D. On sharp Hélder estimates for the solutions of the 9-equations. 
92j:32057 

Melrose, Richard B. see Epstein, Charles; et al., 92i:32016 

Mendoza, Gerardo A. see Epstein, Charles; et al., 92i:32016 

Milman, Pierre D. see Bierstone, Edward, 92a:32008 

Nguyen Thanh Van (with Siciak, Jézef) Fonctions plurisousharmoniques extrémales 
et systemes doublement orthogonaux de fonctions analytiques. (English summary) 
[Extremal plurisubharmonic functions and doubly orthogonal systems of analytic 
functions] 92a:32018 

Ramadanov, Ivan P. see Hachaichi, Rached, 92c:32028 

Shabat, G. B. see Tumanov, A. E., 92d:32042 

Siciak, Jézef see Nguyen Thanh Van, 92a:32018 

Straube, Emil J. see Boas, Harold P., 92b:32027 and 92h:32042 

Taylor, B. A. see Barrett, David E., 92g:32047 

Tumanov, A. E. (with Shabat, G. B.) Realization of linear Lie groups by biholomorphic 
automorphisms of bounded domains. (Russian) 92d:32042 

Upmeier, Harald Toeplitz operators and index theory in several complex variables. 
92£:47021 


32F20 0- and 0,-Neumann problems [see also 35N15] 


Akahori, Takao (with Ameku, Harunori) On the Romanov kernel and Kuranishi’s L?- 
estimate for 3, over a ball in the strongly pseudo convex boundary. 92e:32011 

Ameku, Harunori see Akahori, Takao, 92¢:32011 

Beals, Richard (with Stanton, Nancy K.) Estimates on kernels for the 8-equation and the 
8-Neumann problem. 92b:32026 

Berndtsson, Bo Some remarks on weighted estimates for 3. (see 92b:32002) 

Bitar, Liliane Résolution de 8 sur des portions de sphéres ou d’anneaux. [Solution of 8 on 
portions of spheres or annuli] 92f:32025 

Boas, Harold P. (with Straube, Emil J.) Sobolev estimates for the 2-Neumann operator on 
domains in C” admitting a defining function that is plurisubharmonic on the boundary. 
92b:32027 

Bonami, Aline (with Charpentier, Philippe) Comparing the Bergman and the Szegé 
projections. 92¢:32018 

— L?-estimates with loss for the Bergman projection and the canonical solution to 8. 
92k:32028 

Charpentier, Philippe see Bonami, Aline, 92c:32018 

Chaumat, Jacques (with Chollet, Anne-Marie) Estimations héldériennes pour les équations 
de Cauchy-Riemann dans les convexes compacts de C”. [Hélder estimates for Cauchy- 
Riemann equations in compact convex sets inC"] 92i:32015 

Chen, So-Chin Global regularity of the 2-Neumann problem in dimension two. 92h:32027 

Chollet, Anne-Marie see Chaumat, Jacques, 92i:32015 

Christ, Michael On the 3, equation for three-dimensional CR manifolds. 92g:32035 





435 1992 


Derridj, Makhlouf (with Tartakoff, David S.) Maximal and semi-maximal estimates for 3, 
on pseudoconvex manifolds. 92g:32036 

— (with Tartakoff, David S.) Local analyticity for the 2-Neumann problem and for O, in 
some model domains without maximal estimates. 92h:32028 

— (with Tartakoff, David S.) Local analyticity for the 2-Neumann problem and 0,—some 
model domains without maximal estimates. 92j:32055 

— Microlocalisation et estimations pour 3, dans quelques hypersurfaces pseudoconvexes. 
(English summary) [Microlocalization and estimates for 9, in some pseudoconvex 
hypersurfaces] 92k:32029 

Diaz, Ricardo L. Boundary regularity of a canonical solution of the 8, problem. 92g:32037 

Dzhuraev, A. D. Holomorphic vectors in C? and kernel matrices. (Russian) 92h:32029 

Epstein, Charles (with Melrose, Richard B.; Mendoza, Gerardo A.) Resolvent of the 
Laplacian on strictly pseudoconvex domains. 92i:32016 

Fefferman, Charles L. (with Kohn, J. J.; Machedon, M.) Hélder estimates on CR manifolds 
with a diagonalizable Levi form. 92a:32019 

Forngss, John Erik (with Sibony, Nessim) On L? estimates for 9. 92h:32030 

Greiner, Peter On second order hypoelliptic differential operators and the 8-Neumann 
problem. 92i:32017 

Ho, Lop-Hing Sufficient conditions for subellipticity of the 8-Neumann problem on 
nonpseudoconvex domains. 92m:32023 

Kajimoto, Hiroshi A note on L? estimates for the 9 operator on a Stein manifold. 
92d:32021 

Kohn, J. J. see Fefferman, Charles L.; et al., 92a:32019 

Ma, Lan Holder and L?-estimates for the 9-equation on nonsmooth strictly g-convex 
domains. 92j:32056 

Machedon, M. see Fefferman, Charles L.; et al., 92a:32019 

McNeal, Jeffery D. On sharp Hélder estimates for the solutions of the 9-equations. 
92j:32057 

Melrose, Richard B. see Epstein, Charles; et al., 92i:32016 

Mendoza, Gerardo A. see Epstein, Charles; et al., 92i:32016 

Meng, Xiang Wu 7-operator in C” and its applications. 92d:32022 

Polking, John C. The Cauchy-Riemann equations in convex domains. 92j:32058 

Range, R. Michael Integral kernels and Hélder estimates for 9 on pseudoconvex domains of 
finite type in C2. (see 92b:32002) 

Schmalz, Gerd Solution of the 8-equation on nonsmooth strictly g-concave domains with 
Hdlder estimates and the Andreotti-Vesentini separation theorem. 92f:32026 

Shaw, Mei-Chi L? estimates for local solutions of 3, on strongly pseudo-convex CR 
manifolds. 92b:32028 

— Local solvability and estimates for 3, on CR manifolds. 92j:32059 

— L? existence theorems for the 9,-Neumann problem on strongly pseudoconvex CR 
manifolds. 92j:32060 

Sibony, Nessim see Forness, John Erik, 92h:32030 

Stanton, Nancy K. see Beals, Richard, 92b:32026 

Straube, Emil J. see Boas, Harold P., 92b:32027 

Takegoshi, Kenshé A new method to introduce a priori estimates for the 9 Neumann 
problem. 92h:32031 

Tartakoff, David S. see Derridj, Makhlouf, 92g:32036; 92h:32028 and 92j:32055 

Zhang, Jin Hao Estimates for 3, on weakly pseudoconvex boundaries in C”. 92j:32061 


Items with secondary classifications in 32F20 

Adachi, Kenzé Holder estimates for the 9-problem in some convex domains with real 
analytic boundary. 92i:35020 

Boas, Harold P. (with Straube, Emil J.) Sobolev estimates for the complex Green operator 
on a class of weakly pseudoconvex boundaries. 92m:35190 

Bost, Jean-Benoit Principe d’Oka, K-théorie et systemes dynamiques non commutatifs. 
[The Oka principle, K-theory and noncommutative dynamical systems] 92j:46126 

Chang, Der-Chen E. Estimates for singular integral operators with mixed type homo- 
geneities in Hardy classes. 92¢:46022 

Chen, Shu Jin Range-Siu formulas with weight factors. (Chinese. English summary) 
92£:32002 

Chen, So-Chin A remark on the uniform extendability of the Bergman kernel function. 
92h:32043 

Christ, Michael Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt 
domains. 92g:32031 

— On the 8 equation in weighted L? norms in C!. 92j:32066 

Cordaro, Paulo (with Tréves, Francois) Homology and cohomology in hypo-analytic 
structures of the hypersurface type. 92h:32034 

Cumenge, Anne Comparaison des projecteurs de Bergman et Szegé et applications. 
[Comparison of Bergman and Szegé projectors, and applications] 92c:32027 

Derridj, Makhlouf Domaines 4 estimation maximale. [Maximal estimate domains] 
92g:32032 

— Microlocalisation et estimations pour 3. [Microlocalization and estimates for 3,] (see 
92£:35007) 

Geller, Daryl Approximate projections and analytic pseudolocality of the Szeg6 projection 
on domains in C?. 92j:32083 

Grellier, Sandrine Comportement des fonctions holomorphes dans les directions complexes 
tangentes d’un ouvert de C” de type fini. (English summary) [Behavior of holomorphic 
functions in complex tangential directions in a domain of finite type in C”] 92d:32009 

Ho, Lop-Hing 8-problem on weakly q-convex domains. 92j:32052 

Khenkin, G. M. see Polyakov, P. L., 92b:32008 

McNeal, Jeffery D. Local geometry of decoupled pseudoconvex domains. 92g:32033 

Peters, Klaus Solution operators for the 9-equation on nontransversal intersections of 
strictly pseudoconvex domains. 92m:32007 

Polyakov, P. L. (with Khenkin, G. M.) Integral formulas for solution of the 0-equation, and 
interpolation problems in analytic polyhedra. (Russian) 92b:32008 

Qiu, Chun Hui The Koppelman-Leray-Norguet formula of type (p,q) on Stein manifolds. 
(Chinese summary) 92m:32008 

Salinas, Norberto Noncompactness of the -Neumann problem and Toeplitz C*-algebras. 
92j:32086 


32F Geometric convexity, partial differential operators 


32F30 


Soraggi, Roberto Luiz The Cauchy-Riemann operator in infinite-dimensional spaces. 
92g:46056 

— The 8-problem for a (0, 2)-form in a D.F.N. space. 92g:46057 

Straube, Emil J. see Boas, Harold P., 92m:35190 

Takegoshi, Kensh6é Application of a certain integral formula to complex analysis. 
92g:32010 

Tréves, Francois see Cordaro, Paulo, 92h:32034 

Ueki, Naomasa A probabilistic approach to the heat equation for the 8-Neumann problem. 
92k:58265 

Yau, Stephen S.-T. Regularity for the Harvey-Lawson solutions to the complex Plateau 
problem. 92k:32017 


32F25 Real submanifolds in complex manifolds 


Beloshapka, V. K. Construction of the normal form of an equation of a surface of high 
codimension. (Russian) 92:32027 

D’Agnolo, Andrea (with Zampieri, Giuseppe) Levi’s forms of higher codimensional 
submanifolds. (Italian summary) 92h:32032 

— (with D’Ancona, Piero; Zampieri, Giuseppe) Extension of CR functions to “wedge type” 
domains. (Italian summary) 92h:32033 

D’Ancona, Piero see D’Agnolo, Andrea; et al., 92h:32033 

Harris, Gary A. Degenerate surfaces in C?. 92j:32062 

Kordnyi, Adam (with Reimann, Hans Martin) Quasiconformal mappings on CR manifolds. 
92b:32029 

Luk, Hing Sun (with Yau, Stephen S.-T.) Obstructions to embedding of real (2 — 1)- 
dimensional compact CR manifolds in C"*!. 92k:32030 

Reimann, Hans Martin see Koranyi, Adam, 92b:32029 

Stanton, Nancy K. A normal form for rigid hypersurfaces in C?. 92k:32031 

— Infinitesimal CR automorphisms of rigid hypersurfaces in C?. 92j:32063 

Villarroel, Yuli Singular surfaces in a quadric. (Spanish) 92j:32064 

Yau, Stephen S.-T. see Luk, Hing Sun, 92k:32030 

Zampieri, Giuseppe see D’Agnolo, Andrea, 92h:32032 and 92h:32033 


Items with secondary classifications in 32F25 

Baouendi, M.S. (with Rothschild, Linda Preiss) Holomorphic mappings of real analytic 
hypersurfaces. 92j:32102 

— (with Rothschild, Linda Preiss) A general reflection principle in C?. 92j:32035 

— (with Rothschild, Linda Preiss) Remarks on the generic rank of a CR mapping. 
92m:32025 

Bell, Steven R. CR maps between hypersurfaces in C”. 92j:32099 

Beloshapka, V. K. Holomorphic transformations of a quadric. (Russian) 92f:32065 

Berndtsson, Bo (with Bruna, Joaquim) Traces of pluriharmonic functions on curves. 
92e:32010 

Boggess, A. (with Dwilewicz, R.; Nagel, Alexander) The hull of holomorphy of a non- 
isotropic ball in a real hypersurface of finite type. 92a:32017 

Bruna, Joaquim see Berndtsson, Bo, 92e:32010 

Detraz, Jacqueline (with Trépreau, Jean-Marie) Une caractérisation des quadriques 
hermitiennes dans C”. [A characterization of Hermitian quadrics in C"] 92c:32019 

Dwilewicz, R. see Boggess, A.; et al., 92a:32017 

Lempert, Laszl6 Imbedding pseudo-Hermitian manifolds into a sphere. 92f:32031 

— (with Széke, Robert) Global solutions of the homogeneous complex Monge-Ampére 
equation and complex structures on the tangent bundle of Riemannian manifolds. 
92m:32022 

Lupacciolu, Guido Some global results on extension of CR-objects in complex manifolds. 
92i:32019 

Miner, Robert R. Spherical CR manifolds with amenable holonomy. 92b:32014 

Nagel, Alexander (with Rosay, Jean-Pierre) Maximum modulus sets and reflection sets. 
(French summary) 92j:32049 

— see also Boggess, A.; et al., 92a:32017 

Pushnikov, A. Yu. Holomorphicity of CR-mappings into a space of large dimension. 
(Russian) 92a:32033 

Rosay, Jean-Pierre see Nagel, Alexander, 92j:32049 

Rothschild, Linda Preiss see Baouendi, M. S., 92j:32035; 92j:32102 and 92m:32025 

Sharipov, R. A. Minimal tori in a five-dimensional sphere in C>. (Russian. English 
summary) 92k:53118 

Stanton, Nancy K. The Riemann mapping nontheorem. 92m:32001 

Széke, Robert see Lempert, Laszlé, 92m:32022 

Tajima, Shinichi Unique continuation theorem for CR-hyperfunctions. 924:32010 

Trépreau, Jean-Marie see Detraz, Jacqueline, 92c:32019 

Zampieri, Giuseppe Tuboids of C” with cone property and domains of holomorphy. 
92i:32008 


32F30 Pseudoconvex manifolds 


Bennequin, Daniel Topologie symplectique, convexité holomorphe et structures de contact 
(d’aprés Y. Eliashberg, D. McDuff et al.). [Symplectic topology, holomorphic convexity 
and contact structures (after Y. Eliashberg, D. McDuff et al.)] 92j:32065 

Frankel, Sidney Applications of affine geometry to geometric function theory in several 
complex variables. I. Convergent rescalings and intrinsic quasi-isometric structure. 
92m:32024 

Hirachi, Kengo Transformation law for the Szegé projectors on CR manifolds. 92f:32028 

lordan, Andrei A characterization of totally real generic submanifolds of strictly pseudocon- 
vex boundaries in C” admitting a local foliation by interpolation submanifolds. 92i:32018 


Items with secondary classifications in 32F30 

Boggess, A. (with Dwilewicz, R.; Nagel, Alexander) The hull of holomorphy of a non- 
isotropic ball in a real hypersurface of finite type. 92a:32017 

Bolondi, Giorgio Homologie des espaces complexes. [Homology of complex spaces] 
92d:32055 

Dwilewicz, R. see Boggess, A.; et al., 92a:32017 





32F30 


Forstneri¢, Franc Mappings of strongly pseudoconvex Cauchy-Riemann manifolds. 
92m:32026 

Nagel, Alexander see Boggess, A.; et al., 92a:32017 

Orevkov, S. Yu. Letter to the editors: “An example in connection with the Jacobian 
conjecture” [Mat. Zametki 47 (1990), no. 1, 127-136; MR 91e:32019]. (Russian) 
92j:32082 


32F40 CR structures, (tangential) CR operators and 
generalizations 


Baouendi, M.S. (with Rothschild, Linda Preiss) Remarks on the generic rank of a CR 
mapping. 92m:32025 

Catlin, David Extension of CR structures. 92k:32032 

Chen, Zhi Hua (with Han, Zu Hong) Integrability of abstract CR-structures. 92a:32020 

Christ, Michael On the 3 equation in weighted L? norms in C!. 92):32066 

Cordaro, Paulo (with Tréves, Francois) Homology and cohomology in hypo-analytic 
structures of the hypersurface type. 92h:32034 

Detraz, Jacqueline (with Trépreau, Jean-Marie) Une caractérisation des quadriques 
hermitiennes dans C”. [A characterization of Hermitian quadrics inC"] 92¢:32019 

Donnini, S. (with Gigante, Giuliana) Classification of left invariant CR structures on 
GL*(3,R). (Italian summary) 92d:32023 

Ehrenpreis, Leon Lewy unsolvability and several complex variables. 92g:32038 

Forstnerit, Franc Mappings of strongly pseudoconvex Cauchy-Riemann manifolds. 
92m:32026 

Gigante, Giuliana (with Tomassini, Giuseppe) CR-structures on a real Lie algebra. (Italian 
summary) 92j:32067 

— see also Donnini, S., 924:32023 

Han, Zu Hong see Chen, Zhi Hua; et al., 92a:32020 

Hill, C. Denson Counterexamples to Newlander-Nirenberg up to the boundary. 92m:32027 

Kriiger, Andreas Homogeneous Cauchy-Riemann structures. 92j:32068 

Laurent-Thiébaut, Christine Sur la résolution des équations de Cauchy-Riemann tan- 
gentielles pour les formes 4 support compact dans les variétés CR. (English summary) 
[Solving tangential Cauchy-Riemann equations for forms with compact support in CR- 
manifolds] 92j:32070 

— Résolution du 3, a support compact et phénoméne de Hartogs-Bochner dans les variétés 
CR. (English summary) [Solvability of 8, with compact support, and the Hartogs- 
Bochner phenomenon in CR-manifolds] 92j:32069 

— Extension de formes différentielles CR dans une hypersurface réelle d’une variété 
analytique complexe. (English summary) [Extension of CR differential forms in a real 
hypersurface of a complex analytic manifold] 92f:32029 

Lupacciolu, Guido Some global results on extension of CR-objects in complex manifolds. 
92i:32019 

Rothschild, Linda Preiss see Baouendi, M. S., 92m:32025 


Schwarz, Wolfgang On qg-convex exhaustion functions of complements of CR-submanifolds. 


92£:32030 

Tomassini, Giuseppe see Gigante, Giuliana, 92j:32067 

Trépreau, Jean-Marie Propagation dans les variétés CR. [Propagation in CR manifolds] 
92d:32024 

— see also Detraz, Jacqueline, 92c:32019 

Tréves, Francois see Cordaro, Paulo, 92h:32034 

Webster, S. M. The integrability problem for CR vector bundles. 92m:32028 


Items with secondary classifications in 32F40 


Akahori, Takao On the deformation theory of pseudo-Hermitian CR-structures which 
preserve the Webster’s scalar curvature (an approach to the local moduli theory for 
strongly pseudoconvex domains). 92b:32030 

Apostolova, L. N. The Poincaré lemma for RC-structures with zero Levi form. 92k:58006 

Baouendi, M.S. (with Rothschild, Linda Preiss) Minimality and the extension of functions 
from generic manifolds. 92j:32025 

Chéng, Jih Hsin Deforming CR structures in the direction of their Cartan tensors. 
92d:32025 

— Curvature functions for the sphere in pseudo-Hermitian geometry. 92k:32016 

Chirka, E.M. An introduction to the geometry of CR manifolds. (Russian) 92m:32012 

Grachev, V. V. A uniqueness theorem for CR-functions on generating CR-manifolds. 
(Russian) 92g:32015 

Kuranishi, Masatake The frame bundles of CR structures and the Bergman kernel. I. 
925:32084 

Lewandowski, Jerzy (with Nurowski, Pawel) Cartan’s chains and Lorentz geometry. 
92£:32014 

Nurowski, Pawel see Lewandowski, Jerzy, 92f:32014 

Rothschild, Linda Preiss see Baouendi, M. S., 92j:32025 

Shaw, Mei-Chi Local solvability and estimates for 8, on CR manifolds. 92j:32059 

— L’ existence theorems for the 9,-Neumann problem on strongly pseudoconvex CR 
manifolds. 92j:32060 

Stanton, Nancy K. Infinitesimal CR automorphisms of rigid hypersurfaces in C?. 92j:32063 

Tajima, Shinichi Unique continuation theorem for CR-hyperfunctions. 92d:32010 

Trépreau, Jean-Marie Sur la propagation des singularités dans les variétés CR. (English 
summary) [On the propagation of singularities in CR manifolds] 92b:58229 


32F99 None of the above, but in this section 


Dzhuraev, A. D. On kernel matrices and holomorphic vectors. 92c:32020 

Fabiano, A. (with Pietramala, Paolamaria) Sur la convexité holomorphe. Théorie locale. 
(English summary) [On holomorphic convexity. Local theory] 92g:32039 

Pietramala, Paolamaria see Fabiano, A., 92g:32039 


Items with secondary classifications in 32F99 


Shirinbekov, M. On the Hartogs theorem in classes of nonanalytic functions. (Russian) 
92g:32025 


Villarroel, Yuli Singular surfaces in a quadric. (Spanish) 92j:32064 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


32Gxx Deformations of analytic structures 


32G05 Deformations of complex structures [see also 13D10, 
16S80, 58H10, 58H15] 


Dethloff, Gerd Deformation of compact Riemann surfaces with distinguished points. 
92i:32020 

Kosarew, Siegmund (with Stieber, Harald) A construction of maximal modular subspaces 
in local deformation theory. 92k:32033 

Palamodov, V. P. Tangent fields on deformations of complex spaces. (Russian) 92k:32034 

Ran, Ziv Stability of certain holomorphic maps. 92m:32029 

— Lifting of cohomology and unobstructedness of certain holomorphic maps. 92h:32035 

Stieber, Harald Modular subgerms and the isomorphism problem in deformation theory. 
92g:32040 

— see also Kosarew, Siegmund, 92k:32033 

Zaidenberg, M.G. Ramanujam surfaces and exotic algebraic structures on C”, n > 3. 
(Russian) 92a:32021 


Items with secondary classifications in 32G05 

Bland, J. (with Duchamp, T.) Moduli for pointed convex domains. 92h:32036 

Campana, Frédéric Une version géométrique généralisée du théoréme de produit de Nadel. 
(English summary) [A generalized geometric version of the product theorem of Nadel] 
92b:14020 

Candelas, Philip Yukawa couplings between (2, 1)-forms. (see 92b:81011) 

Duchamp, T. see Bland, J., 92h:32036 

LeBrun, Claude Twistors, Kahler manifolds, and bimeromorphic geometry. I. 92m:32052 

— (with Poon, Yat Sun) Twistors, Kahler manifolds, and bimeromorphic geometry. II. 
92m:32053 

Mok, Ngaiming Topics in complex differential geometry. 92m:32014 

Poon, Yat Sun see LeBrun, Claude, 92m:32053 


32G07 Deformations of special (e.g. CR) structures 


Akahori, Takao On the deformation theory of pseudo-Hermitian CR-structures which 
preserve the Webster’s scalar curvature (an approach to the local moduli theory for 
strongly pseudoconvex domains). 92b:32030 

Chéng, Jih Hsin Deforming CR structures in the direction of their Cartan tensors. 
92d:32025 

Girbau, J. (with Guasp, G.) Deformations of transversely symplectic and transversely 
contact foliations. 92j:32071 

Guasp, G. see Girbau, J., 92j:32071 

Lempert, Laszl6 Imbedding pseudo-Hermitian manifolds into a sphere. 92f:32031 

Miyajima, Kimio Deformations of a complex manifold near a strongly pseudo-convex 
real hypersurface and a realization of Kuranishi family of strongly pseudo-convex CR 
structures. 92b:32031 

— Deformations of strongly pseudo-convex CR structures and deformations of normal 
isolated singularities. 92g:32041 


Items with secondary classifications in 32G07 

Gémez-Mont, Xavier (with Lins Neto, Alcides) Structural stability of singular holomorphic 
foliations having a meromorphic first integral. 92j:32114 

Kosarew, Siegmund (with Stieber, Harald) A construction of maximal modular subspaces 
in local deformation theory. 92k:32033 

— Grothendieck’s existence theorem in analytic geometry and related results. 92¢:32014 

Lins Neto, Alcides see Gémez-Mont, Xavier, 92j:32114 

Schumacher, Georg The theory of Teichmiiller spaces. A view towards moduli spaces of 
Kahler manifolds. 92f:32036 

Stanton, Nancy K. Infinitesimal CR automorphisms of rigid hypersurfaces in C?. 92j:32063 

Stieber, Harald see Kosarew, Siegmund, 92k:32033 


32G08 Deformations of fiber bundles 


Giorgadze, G. K. Topological properties of partial indices of the Riemann-Hilbert problem. 
(Russian. English and Georgian summaries) 92a:32022 

Green, Mark (with Lazarsfeld, Robert) Higher obstructions to deforming cohomology 
groups of line bundles. 92i:32021 

Lazarsfeld, Robert see Green, Mark, 92i:32021 


32G10 Deformations of submanifolds and subspaces 


Tsuboi, Syoji Deformations of complex analytic subspaces with locally stable parametriza- 
tions of compact complex manifolds. 92d:32026 


Items with secondary classifications in 32G10 


Banica, Constantin Structures doubles et triples sur un sous-espace complexe, applications. 
[Double and triple structures on a complex subspace, and applications] 92j:14021 


32G13 Analytic moduli problems {For algebraic moduli 
problems, see 14D20, 14D22, 14H10, 14J10.} 
[see also 14H15, 14315] 


Akahori, Takao On the construction of the moduli space for strongly pseudoconvex 
domains. 92j:32072 

Aspinwall, P.S. (with Litken, C. A.) Quantum algebraic geometry of superstring 
compactifications. 92¢:32021 

Bland, J. (with Duchamp, T.) Circular models and normal forms for convex domains. 
92m:32031 

— (with Duchamp, T.) Normal forms for convex domains. 92m:32030 

— (with Duchamp, T.) Moduli for pointed convex domains. 92h:32036 





437 1992 


Candelas, Philip (with de la Ossa, Xenia C.) Moduli space of Calabi-Yau manifolds. 
92¢:32022 

Duchamp, T. see Bland, J., 92h:32036; 92m:32030 and 92m:32031 

Fujiki, Akira (with Schumacher, Georg) The moduli space of extremal compact Kahler 
manifolds and generalized Weil-Petersson metrics. 92¢:32012 

— The moduli spaces and Kahler metrics of polarized algebraic varieties. (Japanese) 
92b:32032 

Killingback, T. P. Two-dimensional topological gravity and intersection theory on the 
moduli space of holomorphic bundles. 92f:32032 

Liitken, C. A. see Aspinwall, P. S., 92c:32021 

Mabuchi, Toshiki Compactification of the moduli space of Einstein-Kahler orbifolds. 
92m:32032 

de la Ossa, Xenia C. see Candelas, Philip, 92c:32022 

Schumacher, Georg Moduli spaces of compact Kahler manifolds. The generalized 
Petersson-Weil metric and positive line bundles on moduli spaces. 92k:32035 

— see also Fujiki, Akira, 92e:32012 

Todorov, Andrei Nikolov Spinors and moduli of Einstein metrics on Kahler simply 
connected manifolds with a canonical class K = 0. 92¢:32023 

Viehweg, Eckart Weak positivity and the stability of certain Hilbert points. III. 92f:32033 


Items with secondary classifications in 32G13 

Akahori, Takao On the deformation theory of pseudo-Hermitian CR-structures which 
preserve the Webster’s scalar curvature (an approach to the local moduli theory for 
strongly pseudoconvex domains). 92b:32030 

Ashikaga, Tadashi (with Konno, Kazuhiro) Examples of degenerations of Castelnuovo 
surfaces. 92g:14032 

Aspinwall, P.S. (with Liitken, C. A.) Geometry of mirror manifolds. 92g:32055 

Axelrod, Scott (with Della Pietra, Steve; Witten, Edward) Geometric quantization of 
Chern-Simons gauge theory. 92i:58064 

Bailin, David (with Gandhi, Sunil K.; Love, Alex) Kahler potentials for orbifold theories 
from string amplitudes. 92m:81202 

Bradlow, Steven B. Vortices in holomorphic line bundles over closed Kahler manifolds. 
92£:32053 

Catanese, Fabrizio Moduli and classification of irregular Kaehler manifolds (and algebraic 
varieties) with Albanese general type fibrations. 92f:32049 

Della Pietra, Steve see Axelrod, Scott; et al., 92i1:58064 

Gandhi, Sunil K. see Bailin, David; et al., 92m:81202 

Giveon, Amit (with Smit, Dirk-Jan) Symmetries on the moduli space of (2, 2) superstring 
vacua. 92¢:81161 

Hitchin, Nigel J. The geometry and topology of moduli spaces. 92a:58023 

Kamiyama, Yasuhiko The modulo 2 homology groups of the space of rational functions. 
92i:58031 

Konno, Kazuhiro see Ashikaga, Tadashi, 92g:14032 

Kosarew, Siegmund Grothendieck’s existence theorem in analytic geometry and related 
results. 92¢:32014 

Love, Alex see Bailin, David; et al., 92m:81202 

Liitken, C. A. see Aspinwall, P. S., 92g:32055 

Mattei, J.-F. Modules de feuilletages holomorphes singuliers. I. Equisingularité. [Moduli of 
singular holomorphic foliations. I. Equisingularity] 92f:32056 

Miyano, Toshiki (with Noguchi, Junjiro) Moduli spaces of harmonic and holomorphic 
mappings and Diophantine geometry. 92j:32093 

Noguchi, Junjiro Moduli spaces of holomorphic mappings into hyperbolic spaces and its 
applications. 92k:32043 

— see also Miyano, Toshiki, 92j:32093 

Ran, Ziv Lifting of cohomology and unobstructedness of certain holomorphic maps. 
92h:32035 

Schumacher, Georg The theory of Teichmiiller spaces. A view towards moduli spaces of 
Kahler manifolds. 92f:32036 

Smit, Dirk-Jan see Giveon, Amit, 92c:81161 

Viehweg, Eckart Quasi-projective quotients by compact equivalence relations. 92d:14028 

Witten, Edward see Axelrod, Scott; et al., 92i:58064 


32G15 Moduli of Riemann surfaces, Teichmiiller theory 
[see also 14H15, 30F xx] 


Bryant, Peter R. Structure of super moduli space: a splitting theorem for ST(T). 92m:32033 

Chair, Noureddine The (orbifold) Euler characteristic of the moduli space of curves and the 
continuum limit of Penner’s connected generating function. 92k:32036 

Chen, Min Decompositions of Teichmiiller space by geodesic length mappings. 92h:32037 

Gardiner, Frederick P. (with Masur, Howard) Extremal length geometry of Teichmiiller 
space. 92f:32034 

Grinevich, P.G. (with Orlov, A. Yu.) Virasoro action on Riemann surfaces, Grassmanni- 
ans, det 2, and Segal-Wilson t-function. 92:32035 

Guo, Han Ying (with Shen, Jian Min; Wang, Shi Kun; Xu, Kai Wen) Beltrami algebra and 
symmetry of the Beltrami equation on Riemann surfaces. 92a:32023 

Hitchin, Nigel J. Gauge theory on Riemann surfaces. 92a:32024 

Hong, D. K. (with Rajeev, S.G.) Universal Teichmiiller space and Diff S'/S'. 92g:32042 

Itzykson, Claude (with Zuber, J.-B.) Matrix integration and combinatorics of modular 
groups. 92a:32025 

Kawazumi, Nariya The invariant differential forms on the Teichmiiller space under the 
Fenchel-Nielsen flows. 92m:32034 

Ko, Seok-ku Teichmiiller theory, its new and old. (Korean summary) 92g:32043 

Krushkal’, S. L. Strengthening pseudoconvexity of finite-dimensional Teichmiller spaces. 
92g:32044 

Li, Zhong Nonuniqueness of geodesics in infinite-dimensional Teichmiiller spaces. 
92¢:32024 

Lohkamp, Jochen Harmonic diffeomorphisms and Teichmiiller theory. 924:32027 

Masur, Howard see Gardiner, Frederick P., 92f:32034 

Nakanishi, Toshihiro (with Velling, John A.) On inner radii of Teichmiiller spaces. 
92g:32045 


32G Deformations of analytic structures 


Orlov, A. Yu. see Grinevich, P. G., 92f:32035 

Pekonen, Osmo Quasidisks and string theory. 92e:32013 

Rajeev, S.G. see Hong, D. K., 92g:32042 

Ratiu, T.S. (with Todorov, Andrei Nikolov) An infinite-dimensional point of view on the 
Weil-Petersson metric. 92m:32035 

Sato, Hiroki Classical Schottky groups of real type of genus two. II. 92j:32073 

Schumacher, Georg The theory of Teichmiiller spaces. A view towards moduli spaces of 
Kahler manifolds. 92f:32036 

Shen, Jian Min see Guo, Han Ying; et al., 92a:32023 

Tanigawa, Harumi Orbits and their accumulation points of cyclic subgroups of modular 
groups. 92f:32037 

Teofilatto, Paolo Sheaves of graded Lie algebras over variable Riemann surfaces and a 
paired Weil-Petersson inner product. 92m:32036 

Todorov, Andrei Nikolov see Ratiu, T. S., 92m:32035 

Uehara, Shozo (with Yasui, Yukinori) The Weil-Petersson Kahler form on the super 
Teichmiiller space. 92j:32074 

— (with Yasui, Yukinori) On the symplectic geometry of the super Teichmiiller space. 
92m:32037 

Veech, William A. Moduli spaces of quadratic differentials. 92e:32014 

Velling, John A. see Nakanishi, Toshihiro, 92g:32045 

Wang, Shi Kun see Guo, Han Ying; et al., 92a:32023 

Wolf, Michael High energy degeneration of harmonic maps between surfaces and rays in 
Teichmiiller space. 92j:32075 

Xu, Kai Wen see Guo, Han Ying; et al., 92a:32023 

Yasui, Yukinori see Uehara, Shozo, 92j:32074 and 92m:32037 

Zuber, J.-B. see Itzykson, Claude, 92a:32025 

Zwiebach, Barton How covariant closed string theory solves a minimal area problem. 
92a:32026 


Items with secondary classifications in 32G15 


Alvarez-Gaumé, Luis Anomalies, strings and algebraic geometry. (see 92i:81013) 

Baulieu, Laurent (with Singer, 1. M.) Conformally invariant gauge fixed actions for 2-D 
topological gravity. 92d:58029 

Bershadskii, M. A. On measure over supermoduli space and holomorphic factorization. 
92d:32028 

Bonahon, Francis Earthquakes on Riemann surfaces and on measured geodesic laminations. 
92£:57021 

Broughton, S. Allen The equisymmetric stratification of the moduli space and the Krull 
dimension of mapping class groups. 924:57013 

Buser, Peter (with Courtois, Gilles) Finite parts of the spectrum of a Riemann surface. 
92¢:58146 

Courtois, Gilles see Buser, Peter, 92c:58146 

Dethloff, Gerd Deformation of compact Riemann surfaces with distinguished points. 
92i:32020 

Dijkgraaf, Robbert (with Witten, Edward) Mean field theory, topological field theory, and 
multi-matrix models. 92i:81271 

Distler, Jacques (with Vafa,Cumrun) A critical matrix model at c = 1. 92e:81177 

Earle, Clifford J. (with Sipe, Patricia L.) Families of Riemann surfaces over the punctured 
disk. 92j:30047 

Goldman, William M. The symplectic geometry of affine connections on surfaces. 
92a:58022 

Gonzalez Diez, Gabino Loci of curves which are prime Galois coverings of P'. 92c:14021 

Hamilton, D. H. The closure of Teichmiiller space. 92m:30084 

Harer, John The third homology group of the moduli space of curves. 92d:57012 

Harvey, William J. Projective and superconformal structures on surfaces. 92m:14069 

Hatcher, Allen On triangulations of surfaces. 92f:57020 

Hejhal, Dennis A. Regular b-groups, degenerating Riemann surfaces, and spectral theory. 
92h:11043 

Itzykson, Claude (with Zuber, J.-B.) Combinatorics of mapping class groups and matrix 
integration. 92h:57021 

Jost, Jiirgen * Two-dimensional geometric variational problems. 92h:58045 

Keen, Linda (with Series, Caroline) Pleating coordinates for the Teichmiiller space of a 
punctured torus. 92k:30064 

Killingback, T. P. Two-dimensional topological gravity and intersection theory on the 
moduli space of holomorphic bundles. 92f:32032 

Korotkin, D. A. Self-dual Yang-Mills fields and deformations of algebraic curves. 92b:14015 

Kourouniotis, Christos Bending in the space of quasi-Fuchsian structures. 92b:30052 

Krushkal’, S. L. The Green function of Teichmiiller spaces with applications. 92k:30040 

Maitani, Fumio Variational formulas under C?-movements. 92f:30060 

Matsuzaki, Katsuhiko Geometric finiteness, quasiconformal stability and surjectivity of the 
Bers map for Kleinian groups. 92h:30086 

Minsky, Yair N. Harmonic maps into hyperbolic 3-manifolds. 92j:58027 

Nag, Subhashis Self-dual connections, hyperbolic metrics and harmonic mappings on 
Riemann surfaces. 92m:58027 

— A period mapping in universal Teichmiiller space. 92h:32039 

Nishimura, Kimihide Boundary behavior of the superstring vacuum measure. 92e:81204 

Ohtake, Hiromi Partially conformal qc mappings and the universal Teichmiiller space. 
92d:30031 

Papadopoulos, Athanase D. (with Penner, Robert C.) La forme symplectique de Weil- 
Petersson et le bord de Thurston de I’espace de Teichmiiller. [The Weil-Petersson 
symplectic form and the Thurston boundary of Teichmiiller space] 92e:57023 

— On Thurston’s boundary of Teichmiiller space and the extension of earthquakes. 
92i:57013 

Penner, Robert C. see Papadopoulos, Athanase D., 92e:57023 

Radul, A. O. see Vaisburd, I. D., 92e:58226 

Segal, Graeme B. Two-dimensional conformal field theories and modular functors. 
92b:81192 

Series, Caroline see Keen, Linda, 92k:30064 

Singer, I. M. see Baulieu, Laurent, 92d:58029 

Sipe, Patricia L. see Earle, Clifford J., 92j:30047 





32G15 


Sobezyk, Jan (with Urbanik, W.) A canonical form of an algebraic equation for genus 3 
Riemann surfaces. 92h:14017 

Soda, Jiro (with Yamanaka, Yuki) Moduli space of Chern-Simons gravity. 92j:58016 

Takahasi, Wataru Super-quasi-conformal transformation and Schiffer variation on super- 
Riemann surface. 92f:32013 

Takama, Michiaki Super Beltrami differentials. 92k:32015 <4 

Takhtadzhyan, L. A. (with Zograf, P.G.) A local index theorem for families of -operators 
on punctured Riemann surfaces and a new Kahler metric on their moduli spaces. 
92g:58121 

Tsuchiya, Akihiro (with Yamada, Yasuhiko) Conformal field theory on moduli family of 
siable curves with gauge symmetries. 92a:81192 

— (with Ueno, Kenji; Yamada, Yasuhiko) Conformal field theory on universal family of 
stable curves with gauge symmetries. 92a:81191 

Ueno, Kenji see Tsuchiya, Akihiro; et al., 92a:81191 

Urbanik, W. see Sobczyk, Jan, 92h:14017 

Vafa,Cumrun see Distler, Jacques, 92e:81177 

Vaisburd, I. D. (with Radul, A.O.) Nonorientable strings. 92e:58226 

Vasilev, A. Yu. Quasi-invariance of the modulus of homotopy classes of curves, and the 
Teichmiiller problem. (Russian. Ukrainian summary) 92h:30042 

Voronov, A. A. Erratum: “A unified approach to string scattering amplitudes” [Comm. 
Math. Phys. 131 (1990), no. 1, 179-218; MR 91f:14024]. 92j:14029 

Watamura, Satoshi Chiral bosonization of superconformal ghosts on the Riemann surface 
and path-integral measure [MR 90d:81107]. (see 92m:81271) 

Wentworth, Richard Asymptotics of determinants from functional integration. 92k:58271 

Witten, Edward The central charge in three dimensions. 92j:81306 

— see also Dijkgraaf, Robbert, 92i:81271 

Wolf, Michael Infinite energy harmonic maps and degeneration of hyperbolic surfaces in 
moduli space. 92b:58055 

Yamada, Yasuhiko see Tsuchiya, Akihiro; et al., 92a:81191 and 92a:81192 

Yamanaka, Yuki see Soda, Jiro, 92j:58016 

Zograf, P.G. see Takhtadzhyan, L. A., 92g:58121 

Zuber, J.-B. see Itzykson, Claude, 92h:57021 


Items listed otherwise than by author 
Travaux de Thurston sur les surfaces * Travaux de Thurston sur les surfaces. (French) [The 
works of Thurston on surfaces] 92g:57001 


Works of Thurston on surfaces * Travaux de Thurston sur les surfaces. (French) [The works 
of Thurston on surfaces] 92g:57001 


32G20 Period matrices, variation of Hodge structure; 
degenerations [see also 14D05, 14D07, 14K30] 


Bershadskii, M. A. On measure over supermoduli space and holomorphic factorization. 
92d:32028 


Cadavid, Ana Cristina (with Ferrara, Sergio) Picard-Fuchs equations and the moduli space 


of superconformal field theories. 92i:32022 

Cecotti, S. N = 2 Landau-Ginzburg vs. Calabi-Yau o-models: nonperturbative aspects. 
92h:32038 

— Geometry of N = 2 Landau-Ginzburg families. 92k:32037 

Ferrara, Sergio see Cadavid, Ana Cristina, 92i:32022 

Nag, Subhashis A period mapping in universal Teichmiiller space. 92h:32039 

Peters, C. A.M. Curvature for period domains. 92j:32076 


Items with secondary classifications in 32G20 

Aomoto, Kazuhiko Finiteness of a cohomology associated with certain Jackson integrals. 
92¢:33035 

Aspinwall, P.S. (with Liitken, C. A.) Quantum algebraic geometry of superstring 
compactifications. $2¢:32021 

Berglund, Per (with Hiibsch, Tristan) Twisted three-generation compactification. 
92e:81292 

(Bluher, G.) see Markushevich, A. I., 92k:14043 

Candelas, Philip (with de la Ossa, Xenia C.) Moduli space of Calabi-Yau manifolds. 
92¢:32022 

Chueshev, V. V. Cohomological Gunning fibration and the Torelli group. (Russian) 
92a:14020 

Friedman, Robert David On threefolds with trivial canonical bundle. 92m:14044 

Hong, D. K. (with Rajeev, S.G.) Universal Teichmiiller space and Diff S'/S'. 92g:32042 

Hiibsch, Tristan see Berglund, Per, 92e:81292 

Johnson, F. E. A. (with Rees, E.G.) The fundamental groups of algebraic varieties. 
92j:14025 

Liitken, C. A. see Aspinwall, P. S., 92c:32021 

Markushevich, A. I. * Introduction to the classical theory of abelian functions. 92k:14043 

Matsumoto, Keiji (with Sasaki, Takeshi; Yoshida, Masaaki) The Aomoto-Gel’fand 
hypergeometric function and period mappings. (Japanese) 92a:33001 

de la Ossa, Xenia C. see Candelas, Philip, 92c:32022 

Rajeev, S.G. see Hong, D. K., 92g:32042 

Rees, E.G. see Johnson, F. E. A., 92j:14025 

Sasaki, Takeshi see Matsumoto, Keiji; et al., 92a:33001 

Simpson, Carlos T. The ubiquity of variations of Hodge structure. 92m:14014 

Taimanov, I. A. Prym theta functions and hierarchies of nonlinear equations. (Russian) 
92k:14044 

Wa, Xian On an infinitesimal invariant of normal functions. 92a:14050 

Yoshida, Masaaki see Matsumoto, Keiji; et al., 92a:33001 

Yiian, Hsi Shih The mirror of Calabi-Yau orbifold. 92f:14037 


32G34 Moduli and deformations for ordinary differential 
equations [see also 34A20] 


Babbitt, D.G. (with Varadarajan, V.S.) Formal reduction of meromorphic differential 
equations containing a parameter. 92i:32023 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


1992 438 


Churchill, Richard C. (with Rod, David L.) On the determination of Ziglin monodromy 
groups. 92m:32038 

Fedoryuk, M. V. Isomonodromic deformations of equations with irregular singularities. 
(Russian) 92¢:32025 

Il'yashenko, Yu. S. (with Khovanskii, A.G.) Galois groups, Stokes operators and a theorem 
of Ramis. (Russian) 92f:32038 

Iwasaki, Katsunori Moduli and deformation for Fuchsian projective connections on a 
Riemann surface. 92m:32039 

Khovanskii, A. G. see Il'yashenko, Yu. S., 92f:32038 

Rod, David L. see Churchill, Richard C., 92m:32038 

Sasaki, Takeshi (with Yoshida, Masaaki) Tensor products of linear differential equations. 
II. New formulae for the hypergeometric functions. 92h:32040 

Varadarajan, V.S. Meromorphic differential equations. 92i:32024 

— see also Babbitt, D. G., 92i:32023 

Yoshida, Masaaki see Sasaki, Takeshi, 92h:32040 


Items with secondary classifications in 32G34 

Baider, Alberto (with Churchill, Richard C.) On monodromy groups of second-order 
Fuchsian equations. 924:33034 

Churchill, Richard C. see Baider, Alberto, 92d:33034 

Iwasaki, Katsunori (with Kimura, Hironobu; Shimomura, Shun; Yoshida, Masaaki) 
* From Gauss to Painlevé. 92j:33001 

Kimura, Hironobu see Iwasaki, Katsunori; et al., 92j:33001 

Kimura, Tosihusa Maps with polynomial Schwarzian derivatives and the Jacobian problem. 
(see 92m:00039) 

— (with Shima, Kazuhisa) A note on the monodromy of the hypergeometric differential 
equation. 92h:33006 

Levelt, A. H. M. Stabilizing differential operators. A method for computing invariants at 
irregular singularities. 92h:34013 

Matsuda, Michihiko * Lectures on algebraic solutions of hypergeometric differential 
equations. 92a:14007 

Minsky, Yair N. Harmonic maps into hyperbolic 3-manifolds. 92j:58027 

Palmer, John Tau functions. 92i:58202 

Shima, Kazuhisa see Kimura, Tosihusa, 92h:33006 

Shimomura, Shun see Iwasaki, Katsunori; et al., 92j:33001 

Yoshida, Masaaki see Iwasaki, Katsunori; et al., 92j:33001 


32G81 Applications to physics 


Cohn, J. D. The compactification divisor of supermoduli space and superconformal field 
theory. (see 92:81008) 

Guo, Han Ying see Wang, Shi Kun; et al., 92i:32025 

Wang, Shi Kun (with Wang, Zhong Hua; Wu, Ke; Guo, Han Ying) Theory of nonlinear 
connections, the Beltrami connection and two-dimensional gravity. (Chinese. English 
summary) 92i:32025 

Wang, Zhong Hua see Wang, Shi Kun; et al., 92i:32025 

Wu, Ke see Wang, Shi Kun; et al., 92i:32025 


Items with secondary classifications in 32G81 

Arnowitt, Richard see Wu, Jizhi; et al., 92d:32037 

Aspinwall, P.S. (with Liitken, C. A.) Quantum algebraic geometry of superstring 
compactifications. 92¢:32021 

Atiyah, Michael Francis * The geometry and physics of knots. 92b:57008 

Bardakci, K. (with Crescimanno, M.; Hotes, S. A.) Parafermions from nonabelian coset 
models. 92d:81114 

Baulieu, Laurent (with Singer, I. M.) Conformally invariant gauge fixed actions for 2-D 
topological gravity. 92d:58029 

Behera, N. see Malik, R. P.; et al., 92g:81178 

Berglund, Per (with Hiibsch, Tristan; Parkes, Linda) Gauge-neutral matter in a three- 
generation superstring compactification. 92f:81232 

— (with Hiibsch, Tristan) Twisted three-generation compactification. 92e:81292 

Bershadskii, M. A. On measure over supermoduli space and holomorphic factorization. 
92d:32028 

Birmingham, Danny (with Blau, Matthias; Thompson, George) Geometry and quantization 
of topological gauge theories. 92¢e:81266 

Blau, Matthias see Birmingham, Danny; et al., 92¢:81266 

Bonora, Loriano (with Martellini, Maurizio; Rinaldi, Maurizio; Wu, Ke) Conformal 
invariance and nonflat background metric on a genus g Riemann surface. (see 92b:83004) 

— (with Martellini, Maurizio; Zhang, Yao Zhong) Affine CS theories and WZNW models. 
92m:81230 

Cadavid, Ana Cristina (with Ferrara, Sergio) Picard-Fuchs equations and the moduli space 
of superconformal field theories. 92i:32022 

Candelas, Philip (with de la Ossa, Xenia C.) Moduli space of Calabi-Yau manifolds. 
92c:32022 

Casas, J. A. (with Gomez Rodriguez, Faustino; Muiioz, C.) World-sheet instanton 
contribution to Z7; Yukawa couplings. 92d:32036 

Cecotti,S. N = 2 Landau-Ginzburg vs. Calabi-Yau o-models: nonperturbative aspects. 
92h:32038 

Chang, Zhe The Wess-Zumino-Witten models on the N-punctured Riemann sphere. 
92b:81169 

Chaudhuri, Shyamoli (with Dykstra, H.; Lykken, Joseph D.) The Penner matrix model and 
c= strings. 92e:81217 

Cordes, Stefan F. (with Kikuchi, Yukio) Flux-breaking, correlation functions, moduli and 
selection rules in the three-generation N = 2 minimal heterotic string compactification. 
92i:81229 

Crescimanno, M. see Bardakci, K.; et al., 92d:81114 

Cvetié, Mirjam Nonrenormalizable sector of the effective Lagrangian from superstring 
theories. 92c:81128 

Danilov, G.S. Ward identities and calculation of multiloop amplitudes in superstring 
theory. (Russian) 92b:81145 





439 1992 


— Ward’s identities and the calculation of multiloop amplitudes in superstring theory. 
92¢:81129 

Delduc, Francois (with Gieres, Francois) Beltrami differentials, conformal models and their 
supersymmetric generalizations. 92¢:81220 

Distler, Jacques (with Nelson, Philip) Topological couplings and contact terms in 2d field 
theory. 92c:81157 

— (with Vafa, Cumrun) A critical matrix model at c = 1. 92¢:81177 

Di Vecchia, P. Correlation functions for the By system from the sewing technique. 
92d:81119 

Dolgikh, S. N. (with Roslyi, A. A.; Schwarz, Albert) Supermoduli spaces. 92i:32005 

Dykstra, H. see Chaudhuri, Shyamoli; et al., 92e:81217 

Falceto, Fernando (with Gawedzki, Krzysztof; Kupiainen, Antti) Scalar product of current 
blocks in WZW theory. 92g:81168 

Falqui, Gregorio (with Martellini, Maurizio; Reina, Cesare; Teofilatto, Paolo) Some 
remarks on an algebro-geometrical close-up to superstring theory. 92i:81233 

Ferrara, Sergio Recent issues on the moduli space of 2d superconformal field theories. 
92e:81224 

— Geometry and quantum symmetries of Calabi-Yau moduli space. 92i:81234 

— see also Cadavid, Ana Cristina, 92i:32022 

Ferrari, Franco String theories on Riemann surfaces of algebraic functions. 92b:14013 

Frau, Marialuisa (with Lerda, Alberto; McCarthy, J. G.; Sciuto, S.) Operator formalism 
and free field representation for minimal models on Riemann surfaces. 92a:81174 

Fucito, F. (with Martellini, Maurizio; Gamba, A.) Nonperturbative two-dimensional 
quantum gravity, KdV hierarchy and solutions of the string equations. 92b:58088 

Gamba, A. see Fucito, F.; et al., 92b:58088 

Gawedzki, Krzysztof (with Kupiainen, Antti) SU(2) Chern-Simons theory at genus zero. 
92i:81277 

— see also Falceto, Fernando; et al., 92g:81168 

Giddings, Steven B. A brief introduction to super Riemann surface theory. 92a:32012 

— Punctures on super Riemann surfaces. 92j:32022 

Gieres, Francois see Delduc, Francois, 92e:81220 

Giveon, Amit (with Malkin, N.; Rabinovici, E.) On discrete symmetries and fundamental 
domains of target space. 92a:81112 

— (with Smit, Dirk-Jan) Symmetries on the moduli space of (2,2) superstring vacua. 
92c:81161 

Gomez, César (with Sierra,German) Quantum groups, Riemann surfaces and conforma! 
field theory. 92h:81071 

Gémez Rodriguez, Faustino see Casas, J. A.; et al., 92d:32036 

Greene, Brian R. Recent results in Calabi-Yau compactification. 92¢:81196 

Guo, Han Ying (with Shen, Jian Min; Wang, Shi Kun; Xu, Kai Wen) Beltrami algebra and 
symmetry of the Beltrami equation on Riemann surfaces. 92a:32023 

Hosoya, Akio (with Nakao, Ken-ichi) (2 + 1)-dimensional quantum gravity. Case of torus 
universe. 92b:81134 

Hotes, S. A. see Bardakci, K.; et al., 92d:81114 

Hua, Long (with Kaku, Michio) Nonpolynomial closed string field theory: loops and 
conformal maps. 92h:81129 

Hiibsch, Tristan see Berglund, Per, 92e:81292 and 92£:81232 

Hughes, James (with Li, Keke) Free-field formulation of topological supergravity. 
92:81171 

Kafkalidis, Menelaos S. A geometric approach to the path integral formalism of p-branes. 
92¢:81077 

Kaku, Michio Anomalies in nonpolyncmial closed string field theory. 92h:81130 

— see also Hua, Long, 92h:81129 

Kaul, Romesh K. see Malik, R. P.; et al., 92g:81178 

Kikuchi, Yukio see Cordes, Stefan F., 92i:81229 

Killingback, T. P. Two-dimensional topological gravity, topological matter and intersection 
theory on moduli space. 92e:58037 

Kupiainen, Antti see Falceto, Fernando; et al., 92g:81168 and Gawedzki, Krzysztof, 92i:81277 

La, HoSeong Thermodynamics of handles. 92b:81184 

Lerda, Alberto see Frau, Maria!zisa; et al., 92a:81174 

Li, Keke Topological gravity with minimal matter. 92i:81294 

— Recursion relations in topological gravity with minimal matter. 92i:81295 

— see also Hughes, James, 92f:81171 

Liu, James Gauge and gravitational anomaly cancellation in type-I superstring theory. 
92k:81202 

Liitken, C. A. see Aspinwall, P. S., 92c:32021 

Lykken, Joseph D. see Chaudhuri, Shyamoli; et al., 92e:81217 

Lynker, Monika (with Schimmrigk, Rolf) Landau-Ginzburg theories as orbifolds. 
92g:14044 

Maharana, Jnanadeva (with Paul, Samir K.; Sengupta, Gautam) Krichever-Novikov global 
operator formalism: NSR superstring in curved background. 92g:81151 

Malik, R. P. (with Behera, N.; Kaul, Romesh K.) Correlators of conformal field theories 
from their characters. 92g:81178 

Malkin, N. see Giveon, Amit; et al., 92a:81112 

Martellini, Maurizio see Fucito, F.; et al., 92b:58088; Falqui, Gregorio; et al., 92i:81233; 
Bonora, Loriano; et al., 92m:81230 and (92b:83004) 

Martinec, Emil J. The space of 2d quantum field theories. 92b:81187 

Marzban, Caren (with Viswanathan, R. Raju) Matrix models with noneven potentials. 
92¢:81183 

McCarthy, J.G. see Frau, Marialuisa; et al., 92a:81174 

Monastyrskii, M.I. (with Natanzon, S. M.) The moduli space of superconformal 
instantons in sigma models. 92k:81206a 

— (with Natanzon, S.M.) Errata: “The moduli space of superconformal instantons in sigma 
models”. 92k:81206b 

Moore, Gregory W. Geometry of the string equations. 92a:81184 

Morozov, A. Yu. Pointwise vanishing of two-loop contributions to one-, two- and three- 
point functions in the Neveu-Schwarz-Ramond formalism. (Russian. English summary) 
92¢:81145 

Muiioz, C. see Casas, J. A.; et al., 92d:32036 

Myers, Robert C. On alternate formulations of topological gravity. 92e:81273 


32H Holomorphic mappings and correspondences 


Nakao, Ken-ichi see Hosoya, Akio, 92b:81134 

Natanzon, S. M. see Monastyrskii, M. 1., 92k:81206a and 92k:81206b 

Nath, Pran see Wu, Jizhi; et al., 92d:32037 

Nelson, Philip see Distler, Jacques, 92c:81157 

Nishimura, Kimihide Boundary behavior of the superstring vacuum measure. 92e:81204 

Ooguri, Hiresi Conformal field theory on a Riemann surface. 92a:81188 

de la Ossa, Xenia C. see Candelas, Philip, 92c:32022 

Parkes, Linda see Berglund, Per; et al., 92f:81232 

Paul, Samir K. see Maharana, Jnanadeva; et al., 92g:81151 

Pekonen, Osmo Quasidisks and string theory. 92e:32013 

Petersen, Jens Lyng On the explicit construction of the superstring loop measure in the 
super-Schottky-Reggeon formalism. 92c:81147 

Rabinovici, E. see Giveon, Amit; et al., 92a:81112 

Radul, A. O. (with Vaisburd, I. D.) (b,c) systems on Klein surfaces. 92j:81300 

Reina, Cesare see Falqui, Gregorio; et al., 92i:81233 

Rinaldi, Maurizio see Bonora, Loriano; et al., (92b:83004) 

Roslyi, A. A. see Dolgikh, S. N.; et al., 92i:32005 

Saito, Takesi Schwarzian connections in the Krichever-Novikov algebra. 92g:81071 

Schimmrigk, Rolf Heterotic (2, 2)-vacua: manifold theory and exact results. 92d:81112 

— see also Lynker, Monika, 92g:14044 

Schliinzen, Frank Induced quantum gravity and quasiconformal mappings. 92c:81191 

Schwarz, Albert see Dolgikh, S. N.; et al., 92i:32005 

Sciuto, S. see Frau, Marialuisa; et al., 92a:81174 

Segal, Graeme B. Two-dimensional conformal field theories and modular functors. 
92b:81192 

Semikhatov, A.M. Global operator formalism in the theory of bosonic strings on Riemann 
surfaces. (Russian) 92¢:81246 

— The operator formalism in the theory of fermionic strings on Riemann surfaces. (Russian) 
92a:81157 

Sengupta, Gautam see Maharana, Jnanadeva; et al., 92g:81151 

Shen, Jian Min see Guo, Han Ying; et al., 92a:32023 

Sierra, German see Gomez, César, 92h:81071 

Singer, I. M. see Baulieu, Laurent, 92d:58029 

Smit, Dirk-Jan see Giveon, Amit, 92c:81161 

Soda, Jiro (with Yamanaka, Yuki) Moduli space of Chern-Simons gravity. 92j:58016 

Teofilatto, Paolo see Falqui, Gregorio; et al., 92i:81233 

Thompson, George see Birmingham, Danny; et al., 92e:81266 

Thiimmel, Ottfried N = 2 conformal superfield structures and Beltrami variables. 
92b:81205 

Vafa,Cumrun Topological Landau-Ginzburg models. 92f:81193 

— see also Distler, Jacques, 92e:81177 

Vaisburd, I. D. see Radul, A. O., 92j:81300 

Viswanathan, R. Raju see Marzban, Caren, 92c:81183 

Wang, Shi Kun see Guo, Han Ying; et al., 92a:32023 

Wa, Jizhi (with Arnowitt, Richard; Nath, Pran) (27)? Yukawa couplings and embeddings 
of discrete groups in the CP? x CP?/Z; x Z; model. 92d:32037 

Wu, Ke see Bonora, Loriano; et al., (92b:83004) 

Xu, Kai Wen see Guo, Han Ying; et al., 92a:32023 

Yamanaka, Yuki see Soda, Jiro, 92j:58016 

Zhang, Yao Zhong see Bonora, Loriano; et al., 92m:81230 

Zucchini, R. A Polyakov action on Riemann surfaces. 92i:81314 

Zwiebach, Barton How covariant closed string theory solves a minimal area problem. 
92a:32026 


32G99 None of the above, but in this section 


Items with secondary classifications in 32G99 

Cohen, F. R. (with Cohen, R. L.; Mann, Benjamin M.; Milgram, R. James) The topology of 
rational functions and divisors of surfaces. 92k:55011 

Cohen, R. L. see Cohen, F. R.; et al., 92k:55011 

Mann, Benjamin M. see Cohen, F. R.; et al., 92k:55011 

Milgram, R. James see Cohen, F. R.; et al., 92k:55011 

Semmes, Stephen A generalization of Riemann mappings and geometric structures on a 
space of domains in C”. 92k:32046 


32Hxx Holomorphic mappings and correspondences 


32H02 Holomorphic mappings, (holomorphic) embeddings and 
related questions 


Barnard, Roger W. (with FitzGerald, Carl H.; Gong, Sheng) The growth and 1 /4-theorems 
for starlike mappings in C”. 92g:32046 

Barrett, David E. (with Taylor, B. A.) A generalized Cousin problem for subvarieties of the 
bidisk. 92g:32047 

Dor, Avner Holomorphic maps from the unit ball of C’ that take hyperplanes into 
hyperplanes. 92a:32027 

FitzGerald, Carl H. see Barnard, Roger W.; et al., 92g:32046 

Gong, Sheng A partial difference theorem for biholomorphic mappings in C?. (Chinese) 

— (with Zheng, Xue An) Distortion theorem for biholomorphic mappings in transitive 
domains. I. 92a:32028 

— (with Zheng, Xue An) Distortion theorem for biholomorphic mappings in transitive 
domains. I. 92j:32077 

— (with Wang, Shi Kun; Yu, Qi Huang) The growth theorem for biholomorphic mappings 
in several complex variables. 92i:32026 

— see also Barnard, Roger W.; et al., 92g:32046 and Zheng, Xue An; et al., 92j:32080 

Janiec, Eugeniusz Some uniqueness theorems concerning holomorphic mappings. 
92i:32027 





32H02 


Kim, Kang Tae Biholomorphic mappings between quasicircular domains in C”. 92j:32078 

Liczberski, Piotr Some remarks on the subordination of holomorphic mappings from the 
unit ball in C” into C”. (Russian and Polish summaries) 92m:32040 

Lou, Zeng Jian (with Zhang, Wen Jun) The growth theorem and the Koebe 4-theorem for 
biholomorphic mappings on polydiscs. (Chinese. English summary) 92k:32038 

Overholt, Marius Bounds on the derivatives of holomorphic endomorphisms. 92h:32041 

Ploski, Arkadiusz Newton polygons and the Lojasiewicz exponent of a holomorphic 
mapping of C?. 92g:32048 

Ransford, T. J. (with White, M. C.) Holomorphic self-maps of the spectral unit ball. 
92g:32049 

Spodzieja, Stanistaw Some criteria for the injectivity of holomorphic mappings. 92j:32079 

Taylor, B. A. see Barrett, David E., 92g:32047 

Tworzewski, Piotr (with Winiarski, Tadeusz) Cycles of zeroes of holomorphic mappings. 
(Russian summary) 924:32029 

Vigué, Jean-Pierre Un lemme de Schwarz pour les domaines bornés symétriques 
irréductibles et certains domaines bornés strictement convexes. [A Schwarz lemma for 
irreducible bounded symmetric domains and certain strictly convex bounded domains] 
92¢:32026 

Wang, Shi Kun see Gong, Sheng; et al., 92i:32026 

White, M.C. see Ransford, T. J., 92g:32049 

Winiarski, Tadeusz see Tworzewski, Piotr, 92d:32029 

Yu, Qi Huang see Gong, Sheng; et al., 92i:32026 

Zhang, Wen Jun see Lou, Zeng Jian; et al., 92k:32038 

Zheng, Xue An (with Gong, Sheng) Distortion theorem for biholomorphic mappings in 
transitive domains. II, III. 92j:32080 

— see also Gong, Sheng; et al., 92a:32028 and 92j:32077 


Items with secondary classifications in 32H02 


Abate, Marco Converging semigroups of holomorphic maps. (Italian summary) 92m:32047 

Baouendi, M.S. (with Rothschild, Linda Preiss) Remarks on the generic rank of a CR 
mapping. 92m:32025 

Belkhchicha, Larbi Caractérisation des isomorphismes analytiques de certains domaines 
bornés. (English summary) [Characterization of analytic isomorphisms of some bounded 
domains] 92f:32040 

Graham, Ian Holomorphic mappings into convex domains. 92j:32089 

Ivashkovich, S. M. Spherical shells as obstructions to the continuation of holomorphic 
mappings. (Russian) 92g:32023 

Kolodziej, Slawomir Jung’s type theorem for polynomial transformations of C?. 92m:14023 

Krachni, Mostafa Prolongement d’applications holomorphes. (English summary) [Exten- 
sion of holomorphic mappings] 92a:32015 

Kubota, Yoshihisa A Landau type theorem for holomorphic mappings of bounded convex 
balanced domains in C”. 92d:32032 

Rothschild, Linda Preiss see Baouendi, M. S., 92m:32025 

Shiffman, Bernard Separately meromorphic functions and separately holomorphic 
mappings. 92j:32005 

Stanton, Nancy K. The Riemann mapping nontheorem. 92m:32001 

Tsai, I-Hsun Rigidity of holomorphic maps between compact Hermitian symmetric spaces. 
92d:32047 


32H04 Meromorphic mappings 


Chiappari, Stephen A. Holomorphic extension of proper meromorphic mappings. 
92j:32081 

Orevkov, S. Yu. Letter to the editors: “An example in connection with the Jacobian 
conjecture” [Mat. Zametki 47 (1990), no. 1, 127-136; MR 91e:32019]. (Russian) 
92j:32082 


Items with secondary classifications in 32H04 

Ivashkovich, S. M. Hartogs-type theorems for meromorphic mappings, spherical shells and 
the complex Plateau problem. (Russian) 92m:32016 

Krachni, Mostafa Prolongement d’applications holomorphes. (English summary) [Exten- 
sion of holomorphic mappings] 92a:32015 

Le Mayu Khai see Rogozin, S. V., 92g:32024 

Rogozin, S. V. (with Le Mayu Khai) Continuation of meromorphic mappings with values in 
a compact Kahler manifold. (Russian) 92g:32024 


32H10 Bergman kernel function, representative domains 


Boas, Harold P. (with Straube, Emil J.) The Bergman projection on Hartogs domains in C?. 
92h:32042 

Chen, So-Chin A remark on the uniform extendability of the Bergman kernel function. 
92h:32043 

Cumenge, Anne Comparaison des projecteurs de Bergman et Szegé et applications. 
[Comparison of Bergman and Szegé projectors, and applications] 92c:32027 

Geller, Daryl Approximate projections and analytic pseudolocality of the Szegé projection 
on domains in C?. 92j:32083 

Hachaichi, Rached (with Ramadanov, Ivan P.) On the boundary behavior of a scalar 
biholomorphic invariant in the weakly pseudoconvex case. (Bulgarian summary) 
92¢:32028 

Jakébezak, Piotr (with Mazur, Tomasz) Some properties of the L?-angle between complex 
domains. (Serbo-Croatian summary) 92k:32039 

Kanemaru, Tadayoshi Invariants related to the Bergman kernel function in matrix space. 

Kiselman, Christer O. A study of the Bergman projection in certain Hartogs domains. 
92g:32050 

Kuranishi, Masatake The frame bundles of CR structures and the Bergman kernel. I. 
92j:32084 

Liu, S. H. (with Stoll, Manfred) Projections on spaces of holomorphic functions on certain 
domains in C?. 92m:32041 

Lu, Gi Keng The various kernels of classical domains and classical manifolds. 92m:32042 

Mazur, Tomasz see Jakébczak, Piotr, 92k:32039 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


1992 440 


Pasternak-Winiarski, Zbigniew On the dependence of the Bergman function on deforma- 
tions of the Hartogs domain. 92j:32085 

— On weights which admit the reproducing kernel of Bergman type. 92m:32043 

Ramadanov, Ivan P. see Hachaichi, Rached, 92c:32028 

Salinas, Norberto Noncompactness of the @-Neumann problem and Toeplitz C*-algebras. 
92j:32086 

Shirokov, N. A. The Bergman kernel in a neighborhood of the diagonal for domains that are 
close to ellipsoids. (Russian. English summary) 92f:32039 

Stoll, Manfred see Liu, S. H., 92m:32041 

Straube, Emil J. see Boas, Harold P., 92h:32042 


Items with secondary classifications in 32H10 

Bonami, Aline (with Charpentier, Philippe) Comparing the Bergman and the Szegé 
projections. 92¢:32018 

Charpentier, Philippe see Bonami, Aline, 92c:32018 

Christ, Michael On the 8 equation in weighted L? norms in C'. 92j:32066 

Gong, Sheng (with Zheng, Xue An) Distortion theorem for biholomorphic mappings in 
transitive domains. I. 92j:32077 

Gu, Dangsheng Bergman projections and duality in weighted mixed-norm spaces of analytic 
functions. 92m:46034 

Hahn, Kyong T. (with Youssfi, El Hassan) Mdbius invariant Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C”. 92m:47051 

Klingenberg, Wilhelm, Jr. Uniform boundary regularity of proper holomorphic maps. 
92:32046 

Krantz, Steven G. Convexity in complex analysis. 92g:32001 

Ligocka, Ewa Corrigendum to the paper: “On the reproducing kernel for harmonic 
functions and the space of Bloch harmonic functions on the unit ball in R"” [Studia Math. 
87 (1987), no. 1, 23-32; MR 89f:46054a]. 

Rzadkowski, Grzegorz On an angle between two rings. 92a:30008 

Youssfi, El Hassan see Hahn, Kyong T., 92m:47051 

Zheng, Xue An see Gong, Sheng, 92j:32077 

Zhu, Ke He Positive Toeplitz operators on weighted Bergman spaces of bounded symmetric 
domains. 92f:47022 


32H15 Invariant metrics and pseudodistances 


Abate, Marco (with Patrizio, Giorgio) Uniqueness of complex geodesics and characteriza- 
tion of circular domains. 92k:32040 

Adachi, Yukinobu (with Suzuki, Masakazu) Degeneracy points of the Kobayashi pseudodis- 
tances on complex manifolds. 92g:32051 

Azukawa, Kazuo A note on Carathéodory and Kobayashi pseudodistances. 92¢:32029 

Belkhchicha, Larbi Caractérisation des isomorphismes analytiques de certains domaines 
bornés. (English summary) [Characterization of analytic isomorphisms of some bounded 
domains] 92f:32040 

Do Duc Thai Royden-Kobayashi pseudometric and tautness of normalizations of complex 
spaces. (Italian summary) 92j:32087 

Fadlalla, A. A. On the boundary behaviour of the Carathéodory and Kobayashi distances in 
strongly pseudoconvex domains in C”. 92g:32052 

Graham, Ian Holomorphic mappings into convex domains. 92j:32089 

— Sharp constants for the Koebe theorem and for estimates of intrinsic metrics on convex 
domains. 92j:32088 

Jarnicki, Marek (with Pflug, Peter) Some remarks on the product property for invariant 
pseudometrics. 92j:32090 

— (with Pflug, Peter) Invariant pseudodistances and pseudometrics—completeness and 
product property. 92j:32091 

— (with Pflug, Peter; Vigué, Jean-Pierre) The Carathéodory distance does not define the 
topology—the case of domains. (French summary) 92a:32029 

— (with Pflug, Peter) The inner Carathéodory distance for the annulus. 92d:32030 

Kay, L. D. On the Kobayashi-Royden metric for ellipsoids. 92a:32030 

Ma, Dao Wei Boundary behavior of invariant metrics and volume forms on strongly 
pseudoconvex domains. 92h:32044 

Patrizio, Giorgio see Abate, Marco, 92k:32040 

Pflug, Peter Invariant distances on special domains. (see 92d:30002) 

— see also Jarnicki, Marek; et al., 92a:32029; 92d:32030; 92j:32090 and 92j:32091 

Suzuki, Masakazu see Adachi, Yukinobu, 92g:32051 

Vigué, Jean-Pierre see Jarnicki, Marek; et al., 92a:32029 

Vigué, Pierre Une remarque sur I’hyperbolicité injective. (English and Italian summaries) 
[A remark about injective hyperbolicity] 92k:32041 


Items with secondary classifications in 32H15 


Abate, Marco * Iteration theory of holomorphic maps on taut manifolds. 92i:32032 

Bland, J. (with Duchamp, T.) Circular models and normal forms for convex domains. 
92m:32031 

— (with Duchamp, T.) Normal forms for convex domains. 92m:32030 

Dineen, Sean (with Timoney, Richard M.) The algebraic metric of Harris on JB*-triple 
systems. 92b:46112 

— (with Timoney, Richard M.) Complex geodesics on convex domains. 92m:46066 

Duchamp, T. see Bland, J., 92m:32030 and 92m:32031 

Frankel, Sidney Applications of affine geometry to geometric function theory in several 
complex variables. I. Convergent rescalings and intrinsic quasi-isometric structure. 
92m:32024 

Gilligan, Bruce Complex structure on reductions of homogeneous spaces. 92h:32048 

Hall, Peter Landau and Schottky theorems for holomorphic curves. 924:32031 

Kobayashi, Shoshichi Theorem of Busemann-Mayer on Finsler metrics. 92j:53035 

Krantz, Steven G. * Complex analysis: the geometric viewpoint. 92a:30026 

— Convexity in complex analysis. 92g:32001 

— Invariant metrics and the boundary behavior of holomorphic functions on domains in C”. 
92£:32007 

Kubota, Yoshihisa A Landau type theorem for holomorphic mappings of bounded convex 
balanced domains in C”. 92d:32032 





441 1992 


Lempert, Laszlé Erratum: “A precise result on the boundary regularity of biholomorphic 
mappings” [Math. Z. 193 (1986), no. 4, 559-579; MR 88a:32033]. 92a:32034 

Lin, E. B. (with Wong, Bun) An appendix to “Curvature and proper holomorphic mappings 
between bounded domains in C" ” [Rocky Mountain J. Math. 20 (1990), no. 1, 179-197; 
MR 91k:32026]. 92g:32053 

Ma, Dao Wei On iterates of holomorphic maps. 92g:32054 

Noguchi, Junjiro (with Ochiai, Takushiro) * Geometric function theory in several complex 
variables. 92e:32001 

Ochiai, Takushiro see Noguchi, Junjiro, 92e:32001 

Overholt, Marius Bounds on the derivatives of holomorphic endomorphisms. 92h:32041 

Slodkowski, Zbigniew Polynomial hulls with convex fibers and complex geodesics. 
92b:32022 

Timoney, Richard M. see Dineen, Sean, 92b:46112 and 92m:46066 

Wong, Bun Schwarz’s lemma and Hermitian manifolds with constant holomorphic 
curvature. 92j:32094 

— A theorem on the uniformization of compact Hermitian manifolds with constant negative 
holomorphic curvature. 92j:32095 

— see also Lin, E. B., 92g:32053 


32H20 Hyperbolic complex manifolds 


Campana, Frédéric Twistor spaces and nonhyperbolicity of certain symplectic Kahler 
manifolds. 92j:32092 

Chinak, M. A. On complex manifolds of nonpositive curvature. (see 92d:30002) 

Do Duc Thai Remark on hyperbolic embeddability of relatively compact subspaces of 
complex spaces. 92h:32045 

Hahn, Kyong T. Hyperbolicity of the complement of closed subsets in a compact Hermitian 
manifold. 92h:32046 

— Nonnormal mappings and P-sequences. 92i:32028 

Horst, Camilla A finiteness criterion for compact varieties of surjective holomorphic 
mappings. 92¢:32030 

Kodama, Akio On complex manifolds exhausted by biholomorphic images of generalized 
complex ellipsoids E(m;m,---,s;P1,-++,Ds). 92k:32042 

Miyano, Toshiki (with Noguchi, Junjiro) Moduli spaces of harmonic and holomorphic 
mappings and Diophantine geometry. 92j:32093 

Noguchi, Junjiro Moduli spaces of holomorphic mappings into hyperbolic spaces and its 
applications. 92k:32043 

— see also Miyano, Toshiki, 92j:32093 

Wong, Bun Schwarz’s lemma and Hermitian manifolds with constant holomorphic 
curvature. 92j:32094 

— A theorem on the uniformization of compact Hermitian manifolds with constant negative 
holomorphic curvature. 92j:32095 

Zaidenberg, M.G. Holomorphic rigidity of poly ial polyhed: and quasihomogeneity 
[in Topological and geometric methods of analysis (Russian), 106-121, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91j:32002]. (see 92b:58001) 

— Families of curves and hyperbolicity. (Russian) 92f:32041 


Items with secondary classifications in 32H20 


Adachi, Yukinobu (with Suzuki, Masakazu) On the family of holomorphic mappings into 
projective space with lacunary hypersurfaces. 92a:32031 

Chinak, M. A. Weak hyperbolicity and multidimensional analogues of Picard’s theorem. 
(Russian) 92m:32044 

Gilligan, Bruce Complex structure on reductions of homogeneous spaces. 92h:32048 

Gong, Sheng (with Zheng, Xue An) Distortion theorem for biholomorphic mappings in 
transitive domains. I. 92a:32028 

— see also Zheng, Xue An; et al., 92j:32080 

Kato, Mitsuyoshi On hyperbolic uniformization problem of normal complex reflection 
orbisurfaces. 92f:32048 

Kubota, Yoshihisa A Landau type theorem for holomorphic mappings of bounded convex 
balanced domains in C". 924:32032 

Mok, Ngaiming * Metric rigidity theorems on Hermitian locally symmetric manifolds. 
92d:32046 

Noguchi, Junjiro (with Ochiai, Takushiro) * Geometric function theory in several complex 
variables. 92e:32001 

— Moduli space of abelian varieties with level structure over function fields. 92c:14042 

Ochiai, Takushiro see Noguchi, Junjiro, 92e:32001 

Peternell, Thomas Calabi-Yau manifolds and a conjecture of Kobayashi. 92g:14039 

Suzuki, Masakazu see Adachi, Yukinobu, 92a:32031 

Vigué, Pierre Une remarque sur I’hyperbolicité injective. (English and Italian summaries) 
[A remark about injective hyperbolicity] 92k:32041 

Wong, Pit-Mann Second main theorems in number theory and Nevanlinna theory. 
92i:32029 

Zheng, Xue An (with Gong, Sheng) Distortion theorem for biholomorphic mappings in 
transitive domains. II, III. 92j:32080 

— see also Gong, Sheng; et al., 92a:32028 





32H25 Picard-type theorems and generalizations {For function- 
theoretic properties, see 32A22.} 


Adachi, Yukinobu (with Suzuki, Masakazu) On the family of holomorphic mappings into 
projective space with lacunary hypersurfaces. 92a:32031 

Bedford, Eric (with Smillie, John) Fatou-Bieberbach domains arising from polynomial 
automorphisms. 92k:32044 

Chinak, M. A. Weak hyperbolicity and multidimensional analogues of Picard’s theorem. 
(Russian) 92m:32044 

Hall, Peter Landau and Schottky theorems for holomorphic curves. 92d:32031 

Kubota, Yoshihisa A Landau type theorem for holomorphic mappings of bounded convex 
balanced domains in C". 924:32032 

Smillie, John see Bedford, Eric, 92k:32044 

Suzuki, Masakazu see Adachi, Yukinobu, 92a:32031 


32H Holomorphic mappings and correspondences 


32H40 


Items with secondary classifications in 32H25 

Do Duc Thai Remark on hyperbolic embeddability of relatively compact subspaces of 
complex spaces. 92h:32045 

Dor, Avner Holomorphic maps from the unit ball of C’ that take hyperplanes into 
hyperplanes. 92a:32027 

Fujimoto, Hirotaka Modified defect relations for the Gauss map of minimal surfaces. III. 
92k:53015 

Hahn, Kyong T. Hyperbolicity of the complement of closed subsets in a compact Hermitian 
manifold. 92h:32046 

Luo, Tie The horizontal base locus of multiples of tautological sheaves of projectivised 
cotangent bundles. 92i:14040 

Murata, Tsuyoshi Holomorphic mappings from the unit disk to algebraic varieties. 
92m:32045 

Zaidenberg, M. G. Families of curves and hyperbolicity. (Russian) 92f:32041 


32H30 Value distribution theory in higher dimensions {For 
function-theoretic properties, see 32A22.} 


Aihara, Yoshihiro (with Noguchi, Junjiro) Value distribution of meromorphic mappings 
into compactified locally symmetric spaces. 92j:32096 

— A unicity th for phic mappings into compactified locally symmetric spaces. 
92j:32097 

Hu, Pei Chu Holomorphic mapping into algebraic varieties of general type. I, II. 92b:32033 

Murata, Tsuyoshi Holomorphic mappings from the unit disk to algebraic varieties. 
92m:32045 

Noguchi, Junjiro see Aihara, Yoshihiro, 92j:32096 

Ru, Min (with Stoll, Wilhelm) The second main theorem for moving targets. 92j:32098 

Shirosaki, Manabu On defect relations of moving hyperplanes. 92f:32042 

— Another proof of the defect relation for moving targets. 92f:32043 

Siu, Yum Tong Nonequidimensional value distribution theory and meromorphic connec- 
tions. 92f:32044 

Stoll, Wilhelm see Ru, Min, 92j:32098 

Wong, Pit-Mann Second main theorems in number theory and Nevanlinna theory. 
92i:32029 





Items with secondary classifications in 32H30 

Adachi, Yukinobu (with Suzuki, Masakazu) On the family of holomorphic mappings into 
projective space with lacunary hypersurfaces. 92a:32031 

Atsuji, Atsushi Erratum: “Some inequalities for some increasing additive functionals of 
planar Brownian motion and an application to Nevanlinna theory” [J. Fac. Sci. Univ. 
Tokyo Sect. IA Math. 37 (1990), no. 1, 171-187; MR 91i:60199]. 924:60082 

Noguchi, Junjiro (with Ochiai, Takushiro) * Geometric function theory in several complex 
variables. 92e:32001 

Ochiai, Takushiro see Noguchi, Junjiro, 92e:32001 

Ru, Min On the Gauss map of minimal surfaces immersed in R". 92k:53117 

Suzuki, Masakazu see Adachi, Yukinobu, 92a:32031 


32H35 Proper mappings, finiteness theorems 


Barletta, Elisabetta (with Bedford, Eric) Existence of proper mappings from domains in 
C?. 92b:32034 

Bedford, Eric see Barletta, Elisabetta, 92b:32034 

Bell, Steven R. (with Narasimhan, Raghavan) Proper holomorphic mappings of complex 
spaces. 92m:32046 

— CR maps between hypersurfaces in C”. 92j:32099 

Berteloot, Francois Hélder continuity of proper holomorphic mappings. 92i:32030 

Chadzytiski, Jacek (with Krasitiski, Tadeusz) Exponent of growth of polynomial mappings 
of C? into C?. 92a:32032 

Forstnerié, Franc (with Globevnik, Josip) Discs in pseudoconvex domains. 92j:32100 

Globevnik, Josip see Forstnerié, Franc, 92j:32100 

Klingenberg, Wilhelm, Jr. (with Pinchuk, S. 1.) Normal families of proper holomorphic 
correspondences. 92f:32045 

Krasitiski, Tadeusz see Chadzytski, Jacek, 92a:32032 

Lin, E. B. (with Wong, Bun) An appendix to “Curvature and proper holomorphic mappings 
between bounded domains in C” ” [Rocky Mountain J. Math. 20 (1990), no. 1, 179-197; 
MR 91k:32026]. 92g:32053 

Narasimhan, Raghavan see Bell, Steven R., 92m:32046 

Pinchuk, S. I. The scaling method and holomorphic mappings. 92i:32031 

— see also Klingenberg, Wilhelm, Jr., 92f:32045 

Pushnikov, A. Yu. Holomorphicity of CR-mappings into a space of large dimension. 
(Russian) 92a:32033 

Wong, Bun see Lin, E. B., 92g:32053 


Items with secondary classifications in 32H35 

Horst, Camilla A finiteness criterion for compact varieties of surjective holomorphic 
mappings. 92c:32030 

Ivashkovich, S. M. Rational curves and extensions of holomorphic mappings. 92k:32022 

Klingenberg, Wilhelm, Jr. Uniform boundary regularity of proper holomorphic maps. 
92:32046 

Lin, Qing (with Salinas, Norberto) Proper holomorphic maps and analytic Toeplitz n- 
tuples. 92¢e:47042 

Noell, Alan Local versus global convexity of pseudoconvex domains. 92j:32054 

Salinas, Norberto Applications of C*-algebras and operator theory to proper holomorphic 
mappings. 92e:47054 

— Noncompactness of the 8-Neumann problem and Toeplitz C*-algebras. 92j:32086 

— see also Lin, Qing, 92e:47042 


32H40 Boundary regularity of holomorphic maps 


Abate, Marco Angular derivatives in strongly pseudoconvex domains. 92j:32101 





32H40 


Alexander, H. Boundary behavior of certain holomorphic maps. 92c:32031 

Alinhac, Serge (with Baouendi, M. S.; Rothschild, Linda Preiss) Unique continuation and 
regularity at the boundary for holomorphic functions. 92d:32033 

Baouendi, M.S. (with Rothschild, Linda Preiss) Holomorphic mappings of real analytic 
hypersurfaces. 92j:32102 

— see also Alinhac, Serge; et al., 92d:32033 

Fridman, B. L. Biholomorphic transformations that do not extend continuously to the 
boundary. 924:32034 

Khurumov, Yu. V. Boundary smoothness of proper holomorphic mappings of strictly 
pseudoconvex domains. (Russian) 92c:32032 

Klingenberg, Wilhelm, Jr. Uniform boundary regularity of proper holomorphic maps. 
92£:32046 

Lempert, Laszl6 Erratum: “A precise result on the boundary regularity of biholomorphic 
mappings” (Math. Z. 193 (1986), no. 4, 559-579; MR 88a:32033]. 92a:32034 

Rothschild, Linda Preiss see Alinhac, Serge; et al., 92d:32033 and Baouendi, M. S., 
92j:32102 


Items with secondary classifications in 32H40 

Forstnerié, Franc Mappings of strongly pseudoconvex Cauchy-Riemann manifolds. 
92m:32026 

Pinchuk, S. I. The scaling method and holomorphic mappings. 92i:32031 

Stanton, Nancy K. The Riemann mapping nontheorem. 92m:32001 


32HS50 Iteration problems 


Abate, Marco Converging semigroups of holomorphic maps. (Italian summary) 92m:32047 

— * Iteration theory of holomorphic maps on taut manifolds. 92i:32032 

Bedford, Eric (with Smillie, John) Polynomial diffeomorphisms of C2: currents, equilib- 
rium measure and hyperbolicity. 92a:32035 

— (with Smillie, John) Polynomial diffeomorphisms of C?. II. Stable manifolds and 
recurrence. 92m:32048 

Iwasaki, Katsunori On solutions of the Poincaré equation. 92¢:32033 

Ma, Dao Wei On iterates of holomorphic maps. 92g:32054 

Smillie, John see Bedford, Eric, 92a:32035 and 92m:32048 

Venturini, Sergio Semigroups and holomorphic maps. 92k:32045 

Vigué, Jean-Pierre Fixed points of holomorphic mappings in a bounded convex domain in 
C". 92j:32103 


Items with secondary classifications in 32H50 

Bogatyi, S. A. Local indices of iterations of a holomorphic mapping. (Russian) 92e:30014 

Smillie, John The entropy of polynomial diffeomorphisms of C?. 92b:58131 

Ueda, Tetsuo Local structure of analytic transformations of two complex variables. II. 
92i:58166 


32H99 None of the above, but in this section 


Semmes, Stephen A generalization of Riemann mappings and geometric structures on a 
space of domains in C”. 92k:32046 


Items with secondary classifications in 32H99 

De Fabritiis, Chiara Fixed points for automorphisms in Cartan domains of type IV. 
92m:32056 

Klingenberg, Wilhelm, Jr. (with Pinchuk, S. 1.) Normal families of proper holomorphic 
correspondences. 92f:32045 

Kond6, Rydji Invariant Markov processes in the unit ball of C”. 92j:60090 

Mazet, Pierre (with Vigué, Jean-Pierre) Points fixes d’une application holomorphe d’un 
domaine borné dans lui-méme. [Fixed points of a holomorphic mapping of a bounded 
domain into itself] 92b:58024 

Pinchuk, S.I. see Klingenberg, Wilhelm, Jr., 92f:32045 

Vigué, Jean-Pierre see Mazet, Pierre, 92b:58024 


32Jxx Compact analytic spaces {For Riemann surfaces, 
see 14Hxx, 30F xx; for algebraic theory, see 
14Jxx.} 


32J05 Compactification of analytic spaces 


Campana, Frédéric Compactifications kahleriennes de voisinages ouverts de cycles 
géométriquement positifs. [Kahler compactifications of open neighborhoods of 
geometrically positive cycles] 92j:32104 

Furushima, Mikio Complex analytic compactifications of C3. 92a:32036 

Peternell, Thomas (with Schneider, Michael Hellmut) Compactifications of C”: a survey. 
92j:32105 

Schneider, Michael Hellmut see Peternell, Thomas, 92j:32105 

Vo Van Tan On compactifiable strongly pseudoconvex threefolds. 92d:32035 

Yeung, Sai-Kee Compactification of Kahler manifolds with negative Ricci curvature. 
92j:32106 


Items with secondary classifications in 32J05 


Gellhaus, Christoph Aquivariante Kompaktifizierungen des C". [Equivariant compactifica- 
tions of C”] 92¢:32038 


32315 Compact surfaces 


Ebeling, Wolfgang (with Okonek, Christian) Donaldson invariants, monodromy groups, 
and singularities. 92f:32047 

Fujimoto, Yoshio Finiteness of numbers of curves on a minimal surface with x = 1. 
92j:32107 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 1992 442 


Herfurtner, Stephan Elliptic surfaces with four singular fibres. 92k:32047 

Kato, Mitsuyoshi On hyperbolic uniformization problem of normal complex reflection 
orbisurfaces. 92f:32048 

Okonek, Christian see Ebeling, Wolfgang, 92f:32047 

Wong, Bun A note on homotopy complex surfaces with negative tangent bundles. 
92m:32049 


Items with secondary classifications in 32J15 


LeBrun, Claude Anti-self-dual Hermitian metrics on blown-up Hopf surfaces. 92¢:53029 

Okonek, Christian (with Van de Ven, A.) Stable bundles, instantons and C™-structures on 
algebraic surfaces. 92g:57042 

Pontecorvo, Massimiliano On twistor spaces of anti-self-dual Hermitian surfaces. 
92h:32047 

Toma, Matei On the existence of simple reducible vector bundles on complex surfaces of 
algebraic dimension zero. 92k:32051 

Van de Ven, A. see Okonek, Christian, 92g:57042 

Zube, S. K. Logarithmic transformation of an elliptic surface and vector bundles. (Russian) 
92j:14054 


32J17 Compact 3-folds 


Aspinwall, P.S. (with Liitken, C. A.) Geometry of mirror manifolds. 92g:32055 

Kato, Masahide Examples on an extension problem of holomorphic maps and a holomor- 
phic 1-dimensional foliation. 92b:32035 

Litken, C. A. see Aspinwall, P. S., 92g:32055 

Ville, M. Twistor examples of algebraic dimension zero threefolds. 92¢:32034 


Items with secondary classifications in 32J17 

Arnowitt, Richard see Wu, Jizhi; et al., 92d:32037 

Borcea, Ciprian Homogeneous vector bundles and families of Calabi-Yau threefolds. II. 
92k:14035 

Candelas, Philip (with Green, Paul S.; Hiibsch, Tristan) Connected Calabi-Yau compactifi- 
cations (other worlds are just around the corner). 92c:81126 

Castellani, Leonardo (with Fré, Pietro; Gliozzi, Ferdinando; Rego Monteiro, M. A.) (2, 2) 
vacua of the heterotic superstring compactified on SU(2)? groupfolds. 92m:81207 

Cecotti,S. N = 2 Landau-Ginzburg vs. Calabi-Yau o-models: nonperturbative aspects. 
92h:32038 

Ferrara, Sergio Three-dimensional duality and hypermultiplet self-interactions on Calabi- 
Yau vacua. 92h:81126 

— Geometry and quantum symmetries of Calabi-Yau moduli space. 92i:81234 

Fré, Pietro see Castellani, Leonardo; et al., 92m:81207 

Friedman, Robert David On threefolds with trivial canonical bundle. 92m:14044 

Gellhaus, Christoph The Hartogs phenomenon and rational curves. 92g:32022 

Gliozzi, Ferdinando see Castellani, Leonardo; et al., 92m:81207 

Green, Paul S. see Candelas, Philip; et al., 92c:81126 

Hiibsch, Tristan see Candelas, Philip; et al., 92¢c:81126 

LeBrun, Claude Twistors, Kahler manifolds, and bimeromorphic geometry. I. 92m:32052 

— (with Poon, Yat Sun) Twistors, Kahler manifolds, and bimeromorphic geometry. II. 
92m:32053 

Nakamura, Iku Moishezon fourfolds homeomorphic to 04. 92m:32050 

Nath, Pran see Wu, Jizhi; et al., 92d:32037 

Pontecorvo, Massimiliano On twistor spaces of anti-self-dual Hermitian surfaces. 
92h:32047 

Poon, Yat Sun see LeBrun, Claude, 92m:32053 

Ran, Ziv Stability of certain holomorphic maps. 92m:32029 

Rego Monteiro, M. A. see Castellani, Leonardo; et al., 92m:81207 

Wa, Jizhi (with Arnowitt, Richard; Nath, Pran) (27)3 Yukawa couplings and embeddings 
of discrete groups in the CP? x CP?/Z; x Z3; model. 92d:32037 


32J18 Compact n-folds (n > 4) 


Cordero, Luis A. Compact complex nilmanifolds. Some recent results. (see 92b:00044) 
Luna, Domingo Toute variété de Moisezon presque homogéne sous un tore est un schéma. 
(English summary) [All Moishezon manifolds almost homogeneous under a torus are 

schemes] 92k:32048 


Nadel, Alan Michael The behavior of multiplier ideal sheaves under morphisms. 92k:32049 
Nakamura, Iku Moishezon fourfolds homeomorphic to Qe. 92m:32050 


Items with secondary classifications in 32J18 

Nakamura, Iku A subadjunction formula and Moishezor fourfolds homeomorphic to Pe. 
92h:14024 

Rama, K. A note on characterization of Moishezon spaces. 92i:32033 

Viehweg, Eckart Weak positivity and the stability of certain Hilbert points. III. 92f:32033 


32J20 Algebraicity criteria 


Arapura, Donu Vanishing theorems for V-manifolds. 92k:32050 
Rama, K. A note on characterization of Moishezon spaces. 92i:32033 


Items with secondary classifications in 32J20 

Campana, Frédéric On twistor spaces of the class @. 92g:32059 

Foote, Robert L. Homogeneous complex Monge-Ampére equations and algebraic embed- 
dings of parabolic manifolds. 92f:32023 

Marinescu, Gheorghe Asymptotic Morse inequalities. (Romanian. English summary) 
92k:32055 

Vo Van Tan On compactifiable strongly pseudoconvex threefolds. 92d:32035 





443 1992 


32J25 Transcendental methods of algebraic geometry 
[see also 14C30] 


Bauer, Ingrid (with Kosarew, Siegmund) Some aspects of Hodge theory on noncomplete 
algebraic manifolds. 92g:32056 

Kosarew, Siegmund see Bauer, Ingrid, 92g:32056 

Pardon, William L. (with Stern, Mark A.) L?-d-cohomology of complex projective 
varieties. 92i:32034 

Stern, Mark A. see Pardon, William L., 92i:32034 


Items with secondary classifications in 32325 


Arapura, Donu Vanishing theorems for V-manifolds. 92k:32050 

Catanese, Fabrizio Moduli and classification of irregular Kaehler manifolds (and algebraic 
varieties) with Albanese general type fibrations. 92f:32049 

Fox, Jeffrey (with Haskell, Peter; Pardon, William L.) Two themes in index theory on 
singular varieties. 92e:58204 

Green, Mark (with Lazarsfeld, Robert) Higher obstructions to deforming cohomology 
groups of line bundles. 92i:32021 

Greene, Robert E. The geometry of complex manifolds: an overview. 92g:32016 

Haskell, Peter see Fox, Jeffrey; et al., 92e:58204 

Karpishpan, Yakov Pole order filtration on the cohomology of algebraic links. 92d:32051 

Kosarew, Siegmund The hard Lefschetz theorem for concave and convex algebraic 
manifolds. 92i:14018 

Lazarsfeld, Robert see Green, Mark, 92i:32021 

Lewis, James D. * A survey of the Hodge conjecture. 92m:14011 

Nagase, Masayoshi Remarks on the L?-Dolbeault cohomology groups of singular algebraic 
surfaces and curves. 924:58199 

Pardon, William L. see Fox, Jeffrey; et al., 92e:58204 

Peters, C. A.M. Curvature for period domains. 92j:32076 

Schumacher, Georg Moduli spaces of compact Kahler manifolds. The generalized 
Petersson-Weil metric and positive line bundles on moduli spaces. 92k:32035 


32J27 Compact Kahler manifolds: generalizations, classification 


Burillo, Josep The Poincaré-Hodge polynomial of a symmetric product of compact Kahler 
manifolds. (Spanish. English summary) 92j:32108 

Catanese, Fabrizio Moduli and classification of irregular Kaehler manifolds (and algebraic 
varieties) with Albanese general type fibrations. 92f:32049 

Itoh, Mitsuhiro Poincaré bundle and Chern classes. 92m:32051 

LeBrun, Claude Twistors, Kahler manifolds, and bimeromorphic geometry. I. 92m:32052 

— (with Poon, Yat Sun) Twistors, Kahler manifolds, and bimeromorphic geometry. II. 
92m:32053 

Ohsawa, Takeo Supplement to: “Hodge spectral sequence on compact Kahler spaces” [Publ. 
Res. Inst. Math. Sci. 23 (1987), no. 4, 613-625; MR 89b:32037]. 92f:32050 

Poon, Yat Sun see LeBrun, Claude, 92m:32053 

Siu, Yum Tong Some recent results related to the uniformization problem in several 
complex variables. 92m:32054 

Tsuji, Hajime Differential-geometric surfaces in the minimal model conjecture. (Japanese) 
92g:32057 


Items with secondary classifications in 32327 

Alekseevskii, D. V. (with Graev, M. M.) Calabi-Yau metric on the Fermat surface. 
Isometries and totally geodesic submanifolds. 92c:14036 

Alessandrini, Lucia (with Bassanelli, Giovanni) A balanced proper modification of P3. 
92k:32018 

Aspinwall, P.S. (with Liitken, C. A.) Geometry of mirror manifolds. 92g:32055 

Bassanelli, Giovanni see Alessandrini, Lucia, 92k:32018 

Campana, Frédéric Compactifications kahleriennes de voisinages ouverts de cycles 
géométriquement positifs. [Kahler compactifications of open neighborhoods of 
geometrically positive cycles] 92j:32104 

Enoki, Ichiro Compact Ricci-flat Kahler manifolds. 92k:53078 

Fojiki, Akira The moduli spaces and Kahler metrics of polarized algebraic varieties. 
(Japanese) 92b:32032 

Futaki, Akito A Lie algebra character and Kahler-Einstein metrics of positive scalar 
curvature. 92k:32053 

Graev, M. M. see Alekseevskii, D. V., 92c:14036 

Horst, Camilla A finiteness criterion for compact varieties of surjective holomorphic 
mappings. 92¢:32030 

Ji, Shanyu Smoothing of currents and MoiSezon manifolds. 92k:32019 

Johnson, F. E. A. (with Rees, E.G.) The fundamental groups of algebraic varieties. 
92j:14025 

Le Mayu Khai see Rogozin, S. V., 92g:32024 

Liitken, C. A. see Aspinwall, P. S., 92g:32055 

Mok, Ngaiming Topics in complex differential geometry. 92m:32014 

Nitta, Takashi Yang-Mills connections on quaternionic Kahler quotients. 92g:53022 

Rees, E.G. see Johnson, F. E. A., 92j:14025 

Rogozin, S. V. (with Le Mayu Khai) Continuation of meromorphic mappings with values in 
a compact Kahler manifold. (Russian) 92g:32024 

Schumacher, Georg The theory of Teichmiiller spaces. A view towards moduli spaces of 
Kahler manifolds. 92f:32036 

— Moduli spaces of compact Kahler manifolds. The generalized Petersson-Weil metric and 
positive line bundles on moduli spaces. 92k:32035 

Wong, Bun A note on homotopy complex surfaces with negative tangent bundles. 
92m:32049 

Warzbacher, T. Symplectic techniques in holomorphic group actions. 92i:58068 


32J81 Applications to physics 
Arnowitt, Richard see Wu, Jizhi; et al., 924:32037 


32L Holomorphic fiber spaces 


32L07 


Casas, J. A. (with Gomez Rodriguez, Faustino; Mufioz, C.) World-sheet instanton 
contribution to Z7 Yukawa couplings. 924:32036 

Gémez Rodriguez, Faustino see Casas, J. A.; et al., 92d:32036 

Greene, Brian R. (with Yiian, Hsi Shih; Yau, Shing-Tung) Geometric singularities and 
spectra of Landau-Ginzburg models. 92j:32109 

Muiioz, C. see Casas, J. A.; et al., 92d:32036 

Nath, Pran see Wu, Jizhi; et al., 92d:32037 

Wa, Jizhi (with Arnowitt, Richard; Nath, Pran) (27)? Yukawa couplings and embeddings 
of discrete groups in the CP? x CP?/Z; x Z} model. 924:32037 

Yau, Shing-Tung see Greene, Brian R.; et al., 92j:32109 

Yiian, Hsi Shih see Greene, Brian R.; et al., 92j:32109 


Items with secondary classifications in 32J81 

Cecotti, S. Geometry of N = 2 Landau-Ginzburg families. 92k:32037 

Cvetit, Mirjam (with Molera, Juan M.; Ovrut, Burt A.) Generalized spacetime duality in 
Calabi-Yau manifolds. 92a:81142 

Erler, Jens (with Jungnickel, Dirk; Lauer, J.) Dependence of Yukawa couplings on the 
axionic background moduli of Zy orbifolds. 92m:81240 

Giveon, Amit (with Malkin, N.; Rabinovici, E.) On discrete symmetries and fundamental 
domains of target space. 92a:81112 

Greene, Brian R. Calabi-Yau superconformal field theory. 92i:81237 

Hiibsch, Tristan Elusive conifold compactifications. 92j:81246 

Jungnickel, Dirk see Erler, Jens; et al., 92m:81240 

Lauer, J. see Erler, Jens; et al., 92m:81240 

Malkin, N. see Giveon, Amit; et al., 92a:81112 

Molera, Juan M. see Cvetit, Mirjam; et al., 92a:81142 

Ovrut, Burt A. see Cvetié, Mirjam; et al., 92a:81142 

Rabinovici, E. see Giveon, Amit; et al., 92a:81112 


32J99 None of the above, but in this section 


Items with secondary classifications in 32J99 
Candelas, Philip Lectures on complex manifolds. (see 92¢:81006) 


32Kxx Generalizations of analytic spaces (should also be 
assigned at least one other classification number 
in this section) 


32K99 None of the above, but in this section 
Items with secondary classifications in 32K99 


k, Kazimierz Hyperbolic geometry in bounded symmetric homogeneous domains 
of J*-algebras. 92j:32120 


32Lxx Holomorphic fiber spaces [see also 55Rxx] 


32L05 Holomorphic fiber bundles and generalizations 


Abe, Yukitaka Sur les fonctions périodiques de plusieurs variables. [On multivariate 
periodic functions] 92g:32058 

Bando, Shigetoshi Removable singularities for holomorphic vector bundles. 92a:32037 

Toma, Matei On the existence of simple reducible vector bundles on complex surfaces of 
algebraic dimension zero. 92k:32051 


Items with secondary classifications in 32L05 

Bolibrukh, A. A. Construction of a Fuchsian equation from a monodromy representation. 
(Russian) 924:14008 

(Russian) 92j:14014 

Bouche, Thierry Distortion function and the heat kernel of a positive line bundle. 92i:58182 

Chern, Shiing Shen Transgression in associated bundles. 92g:53019 

Gilligan, Bruce Complex structure on reductions of homogeneous spaces. 92h:32048 

Muta, Masanori (with Shibuya, Ken-ichi; Umeno, Takashi) Complex analytic fibre bundles 
over C” x P™. 924:32039 

Natanzon, S. M. Klein surfaces. (Russian) 92i:14029 

Shibuya, Ken-ichi see Muta, Masanori; et al., 92d:32039 

Umeno, Takashi see Muta, Masanori; et al., 92d:32039 

Zaidenberg, M.G. Families of curves and hyperbolicity. (Russian) 92f:32041 





32L07 Hermite-Einstein bundles; Kahler-Einstein bundles 
[see also 53C07] 


Fischer, H. R. (with Fisher, R. J., Jr.) Simple partial connections and the Einstein 
condition. 92k:32052 

Fisher, R. J., Jr. see Fischer, H. R., 92k:32052 

Futaki, Akito A Lie algebra character and Kahler-Einstein metrics of positive scalar 
curvature. 92k:32053 

Libke, Martin A note on positivity of Einstein bundles. 92k:32054 

Nadel, Alan Michael Multiplier ideal sheaves and Kahler-Einstein metrics of positive scalar 
curvature. 92d:32038 

Pedersen, Henrik (with Poon, Yat Sun) Hamiltonian constructions of Kahler-Einstein 
metrics and Kahler metrics of constant scalar curvature. 92f:32051 

Poon, Yat Sun see Pedersen, Henrik, 92f:32051 

Shiffman, Bernard Cohomology and splitting of Hermitian-Einstein vector bundles. 
92f:32052 

Tian, Gang On one of Calabi’s problems. 92j:32110 





32L07 


Items with secondary classifications in 32L07 

Enoki, Ichiro Compact Ricci-flat Kahler manifolds. 92k:53078 

Fojiki, Akira (with Schumacher, Georg) The moduli space of extremal compact Kahler 
manifolds and generalized Weil-Petersson metrics. 92e:32012 

Gocho, Toru (with Nakajima, Hiraku) Einstein-Hermitian connections on hyper-Kahler 
quotients. 92k:53079 

Itoh, Mitsuhiro (with Nakajima, Hiraku) Yang-Mills connections and Einstein-Hermitian 
metrics. 92m:53045 

Lin, E. B. (with Wong, Bun) An appendix to “Curvature and proper holomorphic mappings 
between bounded domains in C” ” [Rocky Mountain J. Math. 20 (1990), no. 1, 179-197; 
MR 91k:32026]. 92g:32053 

Mabuchi, Toshiki Compactification of the moduli space of Einstein-Kahler orbifolds. 
92m:32032 

Mok, Ngaiming * Metric rigidity theorems on Hermitian locally symmetric manifolds. 
92d:32046 

— Aspects of Kahler geometry on arithmetic varieties. 92j:32027 

Nadel, Alan Michael The behavior of multiplier ideal sheaves under morphisms. 92k:32049 

Nakajima, Hiraku see Gocho, Toru, 92k:53079 and Itoh, Mitsuhiro, 92m:53045 

Okonek, Christian (with Van de Ven, A.) Stable bundles, instantons and C™-structures on 
algebraic surfaces. 92g:57042 

Schumacher, Georg see Fujiki, Akira, 92e:32012 

Subramanian, Swaminathan Stability of the tangent bundle and existence of a Kahler- 
Einstein metric. 92k:14020 

Todorov, Andrei Nikoloy Spinors and moduli of Einstein metrics on Kahler simply 
connected manifolds with a canonical class K =0. 92¢:32023 

Van de Ven, A. see Okonek, Christian, 92g:57042 

Wong, Bun see Lin, E. B., 92g:32053 

Yang, Kichoon Local Hermitian geometry of complex surfaces in P?: totally parabolic 
surfaces. 92k:53129 


32L10 Sheaves and cohomology of sections of holomorphic vector 
bundles, general results [see also 14F05, 18F20, 55N30] 


Abe, Yukitaka A proof of the structure theorem of cohomology groups of holomorphic line 
bundles over a complex torus without use of the Serre duality. 92i:32035 

Bradlow, Steven B. Vortices in holomorphic line bundles over closed Kahler manifolds. 
92£:32053 

Muta, Masanori (with Shibuya, Ken-ichi; Umeno, Takashi) Complex analytic fibre bundles 
over C” x P™. 924:32039 

Shibuya, Ken-ichi see Muta, Masanori; et al., 92d:32039 

Ueda, Tetsuo Neighborhood of a rational curve with a node. 92j:32111 

Umeno, Takashi see Muta, Masanori; et al., 92d:32039 


Items with secondary classifications in 32L10 

Abe, Yukitaka Sur les fonctions périodiques de plusieurs variables. [On multivariate 
periodic functions] 92g:32058 

Bismut, Jean-Michel (with Gillet, Henri; Soulé, Christophe) Complex immersions and 
Arakeiov geometry. 92a:14019 

— (with Vasserot, E.) The asymptotics of the Ray-Singer analytic torsion of the symmetric 
powers of a positive vector bundle. (French summary) 92b:58237 

— Eta invariants and complex immersions. (French summary) 92c:58151 

Bott, Raoul H. The topological constraints on analysis. 92b:01039 

Gillet, Henri see Bismut, Jean-Michel; et al., 92a:14019 

Giorgadze, G. K. Topological properties of partial indices of the Riemann-Hilbert problem. 
(Russian. English and Georgian summaries) 92a:32022 

Hurtubise, Jacques (with Murray, Michael K.) Monopoles and their spectral data. 
92a:32041 

Marinescu, Gheorghe Asymptotic Morse inequalities. (Romanian. English summary) 
92k:32055 

Murray, Michael K. see Hurtubise, Jacques, 92a:32041 

Sato, Takeshi The flat holomorphic conformal structure on the Horrocks-Mumford 
orbifold. 92h:14030 

Soulé, Christophe see Bismut, Jean-Michel; et al., 92a:14019 

Subramanian, Swaminathan Stability of the tangent bundle and existence of a Kahler- 
Einstein metric. 92k:14020 

Takhtadzhyan, L. A. (with Zograf, P.G.) A local index theorem for families of 8-operators 
on punctured Riemann surfaces and a new Kahler metric on their moduli spaces. 
92g:58121 

Vasserot, E. see Bismut, Jean-Michel, 92b:58237 

Zograf, P.G. see Takhtadzhyan, L. A., 92g:58121 


32L15 Bundle convexity [see also 32F10] 
Marinescu, Gheorghe Asymptotic Morse inequalities. (Romanian. English summary) 
92k:32055 


Pinney, Karen R. Line bundle convexity of pseudoconvex domains in complex manifolds. 
92f:32054 


32L20 Vanishing theorems 


Manivel, Laurent Un théoréme d’annulation pour les puissances extérieures d’un fibré 
ample. [A vanishing theorem for the exterior powers of an ample bundle] 92k:32056 


Items with secondary classifications in 32L20 

Abe, Yukitaka A proof of the structure theorem of cohomology groups of holomorphic line 
bundles over a complex torus without use of the Serre duality. 92i:32035 

Bauer, Ingrid (with Kosarew, Siegmund) Some aspects of Hodge theory on noncomplete 
algebraic manifolds. 92g:32056 

Kosarew, Siegmund see Bauer, Ingrid, 92g:32056 

Mok, Ngaiming Aspects of Kahler geometry on arithmetic varieties. 92j:32027 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


1992 444 


Morita, Yasuo On vanishing of cohomologies of rigid analytic spaces. 92c:32042 

Muta, Masanori (with Shibuya, Ken-ichi; Umeno, Takashi) Complex analytic fibre bundles 
over C” x P™. 924:32039 

Ohsawa, Takeo A vanishing theorem on Kahler manifolds with certain stratified structures. 
92i:32006 

Pontecorvo, Massimiliano Algebraic dimension of twistor spaces and scalar curvature of 
anti-self-dual metrics. 92j:32113 

Saito, Morihiko On Kollar’s conjecture. 92i:14007 

Shibuya, Ken-ichi see Muta, Masanori; et al., 92d:32039 

Shiffman, Bernard Cohomology and splitting of Hermitian-Einstein vector bundles. 
92:32052 

Siu, Yum Tong Nonequidimensional value distribution theory and meromorphic connec- 
tions. 92f:32044 

Umeno, Takashi see Muta, Masanori; et al., 92d:32039 


32L25 Twistor theory, double fibrations 


Bailey, Toby N. (with Eastwood, Michael G.) Complex paraconformal manifolds—their 
differential geometry and twistor theory. 92a:32038 

Baston, Robert J. (with Eastwood, Michael G.) * The Penrose transform. 92j:32112 

Campana, Frédéric On twistor spaces of the class @. 92g:32059 

Dunne, E.G. (with Eastwood, Michael G.) The twistor transform. 92¢:32035 

Eastwood, Michael G. see Bailey, Toby N., 92a:32038; Dunne, E. G., 92c:32035 and Baston, 
Robert J., 92j:32112 

Gindikin, S. G. Twistors, rational curves, quaternionian structures. 92¢:32015 

— Between integral geometry and twistors. 92a:32039 

(Hughston, L. P.) see Further advances in twistor theory, 92d:32040 

(Mason, Lionel) see Further advances in twistor theory, 92d:32040 

Merkulov, S. A. Twistor transform on conformally Einstein quaternionic manifolds. 
(Russian) 92¢:32036 

— Quantum deformation of compactified Minkowski space. 92k:32057 

Neifel‘d, E.G. Intrinsic geometries of a normalized Penrosian. (Russian) 92f:32055 

Penrose, Roger Twistor theory after 25 years—its physical status and prospects. 92a:32040 

Pontecorvo, Massimiliano Algebraic dimension of twistor spaces and scalar curvature of 
anti-self-dual metrics. 92j:32113 

— On twistor spaces of anti-self-dual Hermitian surfaces. 92h:32047 


Items listed otherwise than by author 
Further advances in twistor theory * Further advances in twistor theory. Vol. I. 92d:32040 


Items with secondary classifications in 32L25 

Bailey, Toby N. (with Singer, Michael A.) Twistors, massless fields and the Penrose 
transform. 92b:81065 

Battaglia, Fiammetta Linear almost complex structures on S®. 92a:53043 

Burstall, F.E. Riemannian twistor spaces and holonomy groups. 92b:53110 

Campana, Frédéric Compactifications kahleriennes de voisinages ouverts de cycles 
géométriquement positifs. [Kahler compactifications of open neighborhoods of 
geometrically positive cycles] 92j:32104 

— Twistor spaces and nonhyperbolicity of certain symplectic Kahler manifolds. 92j:32092 

De Bartolomeis, Paolo (with Migliorini, Luca) Scalar curvature and twistor geometry. 
92m:53065 

— Some new global results in twistor geometry. 92k:53055 

— (with Migliorini, Luca; Nannicini, Antonella) Propriétés globales de l’espace de twisteurs. 
(English and Italian summaries) [Global properties of twistor spaces] 92m:53112 

Dunne, E.G. Notation for the Penrose transform. 92a:81061 

Eastwood, Michael G. The Penrose transform. 92a:83039 

Fioravanti, Mario A. (with Porter, John R.) Twistor representation of Yang-Mills fields on 
Minkowski space. 92e:81073 

Fletcher, J. (with Woodhouse, N. M. J.) Twistor characterization of stationary axisymmet- 
ric solutions of Einstein’s equations. 92a:83040 

Habermann, Katharina The twistor equation on Riemannian manifolds. 92m:53081 

Hodges, A. P. String amplitudes and twistor diagrams: an analogy. 92e:81074 

— Twistor diagrams and Feynman diagrams. 92a:81062a 

Huggett, S. A. Cohomology and twistor diagrams. 92a:81062b 

Hughston, L. P. see Shaw, W. T., 92¢:81076 

Joyce, Dominic The hypercomplex quotient and the quaternionic quotient. 92f:53052 

LeBrun, Claude Twistors, ambitwistors, and conformal gravity. 92a:83042 

— Thickenings and conformal gravity. 92h:83052 

— On complete quaternionic-Kahler manifolds. 92i:53042 

— Explicit self-dual metrics on CP2#---#CP2. 92g:53040 

— Scalar-flat Kahler metrics on blown-up ruled surfaces. 92i:53066 

— Anti-self-dual Hermitian metrics on blown-up Hopf surfaces. 92c:53029 

— Twistors, Kahler manifolds, and bimeromorphic geometry. I. 92m:32052 

— (with Poon, Yat Sun) Twistors, Kahler manifolds, and bimeromorphic geometry. II. 
92m:32053 

Li, Kang The patch property of self-dual Yang-Mills field. 92e:81148 

Lukierski, Jerzy (with Nowicki, Anatol Andrzej) Quaternionic six-dimensional (su- 
per)twistor formalism and composite (super)spaces. 92b:32013 

Mason, Lionel Insights from twistor theory. (see 92f:83003) 

Migliorini, Luca see De Bartolomeis, Paolo, 92m:53065 and 92m:53112 

Musso, Emilio Contact twistors and conformal geometry. (Italian. English summary) 
92a:53050 

Nannicini, Antonella see De Bartolomeis, Paolo; et al., 92m:53112 

Nowicki, Anatol Andrzej see Lukierski, Jerzy, 92b:32013 

Pedersen, Henrik Hyper-Kahler metrics and monopoles. (see 92i:00029) 

— see also Tod, K. Paul, 92b:53073 

Penrose, Roger Twistors, particles, strings and links. 92m:81093 

— # -space and twistors. 92m:83056 

Poon, Yat Sun see LeBrun, Claude, 92m:32053 and Tod, K. Paul, 92b:53073 





445 1992 


Popov, A. D. Geometrical quantization, hypertwistors, and the critical dimension in string 
theory. (Russian) 92g:81156 

— Generalized twistors and geometric quantization. (Russian. English summary) 
92k:58092 

Porter, John R. see Fioravanti, Mario A., 92e:81073 

Salamon, S. M. Self-duality and twistor geometry. 92¢:53066 

Shaw, W. T. (with Hughston, L. P.) Twistors and strings. 92e:81076 

Singer, Michael A. Twistors and four-dimensional conformal field theory. 92m:81094 

— Flat twistor spaces, conformally flat manifolds and four-dimensional field theory. 
92a:81063 

— see also Bailey, Toby N., 92b:81065 

Stovitek, Pavel On the initial condition for instanton solutions. 92c:14013 

Talmadge, Andy (with Yang, Kichoon) Holomorphic curves in the orthogonal twistor space. 
92k:53092 

Tod, K. Paul A comment on: “Kahler surfaces with zero scalar curvature” [Classical 
Quantum Gravity 7 (1990), no. 10, 1707-1719; MR 91i:53057] by H. Pedersen and Y. S. 
Poon. 92b:53073 

Ville, M. Twistor examples of algebraic dimension zero threefolds. 92¢:32034 

Ward, R.S. Integrable systems in twistor theory. 92b:58111 

Woodhouse, N. M. J. see Fletcher, J., 92a:83040 

Yang, Kichoon see Talmadge, Andy, 92k:53092 


32L30 Holomorphic foliations [see also 58F18] 


Canille Martins, Julio Cesar Holomorphic flows in C?,0 with resonances. 92e:32016 

Gémez-Mont, Xavier (with Lins Neto, Alcides) Structural stability of singular holomorphic 
foliations having a meromorphic first integral. 92j:32114 

Lins Neto, Alcides see Gémez-Mont, Xavier, 92j:32114 

Mattei, J.-F. Modules de feuilletages holomorphes singuliers. I. Equisingularité. [Moduli of 
singular holomorphic foliations. I. Equisingularity] 92f:32056 


Items with secondary classifications in 32L30 

Bedford, Eric (with Smillie, John) Polynomial diffeomorphisms of C?: currents, equilib- 
rium measure and hyperbolicity. 92a:32035 

El Kacimi-Alaoui, Aziz Examples of foliations and problems in transverse complex analysis. 
92k:58211 

Girbau, J. (with Guasp, G.) Deformations of transversely symplectic and transversely 
contact foliations. 92j:32071 

Guasp, G. see Girbau, J., 92j:32071 

Iordan, Andrei A characterization of totally real generic submanifolds of strictly pseudocon- 
vex boundaries in C” admitting a local foliation by interpolation submanifolds. 92i:32018 

Ito, Toshikazu Transversality of linear holomorphic vector field on C". 92i:32042 

Kato, Masahide Examples on an extension problem of holomorphic maps and a holomor- 
phic 1-dimensional foliation. 92b:32035 

Nagel, Alexander (with Rosay, Jean-Pierre) Maximum modulus sets and reflection sets. 
(French summary) 92j:32049 

Rosay, Jean-Pierre see Nagel, Alexander, 92j:32049 

Smillie, John see Bedford, Eric, 92a:32035 


32L81 Applications to physics 


Hurtubise, Jacques (with Murray, Michael K.) Monopoles and their spectral data. 
92a:32041 
Murray, Michael K. see Hurtubise, Jacques, 92a:32041 


Items with secondary classifications in 32L81 

Ercolani, Nicholas M. (with Sinha, Amarendra) On the construction of a hyper-Kahler 
metric on the moduli space of monopoles. 92e:53061 

Falqui, Gregorio (with Reina, Cesare) Conformal field theory and moduli spaces of vector 
bundles over variable Riemann surfaces. 92m:14034 

Kafkalidis, Menelaos S. A geometric approach to the path integral formalism of p-branes. 
92¢:81077 

Killingback, T. P. Two-dimensional topological gravity, topological matter and intersection 
theory on moduli space. 92¢:58037 

LeBrun, Claude Twistors, ambitwistors, and conformal gravity. 92a:83042 

Merkulov, S. A. Quantum deformation of compactified Minkowski space. 92k:32057 

Park, Q-Han Self-dual Yang-Mills (+ gravity) as a 2D sigma model. 924:81092 

Radul, A. O. see Vaisburd, I. D., 92¢:58226 

Reina, Cesare see Falqui, Gregorio, 92m:14034 

Segal, Graeme B. Two-dimensional conformal field theories and modular functors. 
92b:81192 

Sinha, Amarendra see Ercolani, Nicholas M., 92e:53061 

Vaisburd, I. D. (with Radul, A. O.) Nonorientable strings. 92e:58226 


32L99 None of the above, but in this section 


Items with secondary classifications in 32L99 

Ohnita, Yoshihiro (with Udagawa, Seiichi) Complex-analyticity of pluriharmonic maps and 
their constructions. 92g:58026 

Udagawa, Seiichi see Ohnita, Yoshihiro, 92g:58026 


32Mxx Complex spaces with a group of automorphisms 


32M05 Complex Lie groups, automorphism groups of complex 
spaces [see also 22E10] 


Heinzner, Peter Geometric invariant theory on Stein spaces. 92j:32116 
Huckleberry, Alan T. Actions of groups of holomorphic transformations. 92j:32115 


32M Complex spaces with a group of automorphisms 


32M12 


Kazama, Hideaki (with Umeno, Takashi) 3 cohomology of complex Lie groups. 92b:32036 

Kim, Kang Tae Automorphism groups of certain domains in C” with a singular boundary. 
92j:32117 

Ma, Dao Wei Upper semicontinuity of isotropy and automorphism groups. 92m:32055 

Matsumoto, Keiji (with Yoshida, Masaaki) On some discrete reflection groups and 
congruence subgroups. 92d:32041 

Shabat, G. B. see Tumanov, A. E., 92d:32042 

Tumanov, A. E. (with Shabat, G. B.) Realization of linear Lie groups by biholomorphic 
automorphisms of bounded domains. (Russian) 92d:32042 

Umeno, Takashi see Kazama, Hideaki, 92b:32036 

Yoshida, Masaaki see Matsumoto, Keiji, 92d:32041 


Items with secondary classifications in 32M05 


Abe, Yukitaka Sur les fonctions périodiques de plusieurs variables. [On multivariate 
periodic functions] 92g:32058 

Bedford, Eric (with Pinchuk, S. I.) Domains in C"*! with noncompact automorphism 
group. 92f:32024 

Berteloot, Frangois (with Coeuré, G.) Domaines de C?, pseudoconvexes et de type fini ayant 
un groupe non compact d’automorphismes. (English summary) [Pseudoconvex domains 
in C? of finite type with a noncompact automorphism group] 92j:32053 

Capocasa, F. (with Catanese, Fabrizio) Periodic meromorphic functions. 92e:14043 

Catanese, Fabrizio see Capocasa, F., 92e:14043 

Ceeuré, G. see Berteloot, Francois, 92j:32053 

Flaschka, Hermann (with Haine, Luc) Torus orbits in G/P. 92¢:14047 

Gellhaus, Christoph Aquivariante Kompaktifizierungen des C". [Equivariant compactifica- 
tions of C"] 92¢:32038 

Haine, Luc see Flaschka, Hermann, 92e:14047 

Kim, Kang Tae Biholomorphic mappings between quasicircular domains in C”. 92j:32078 

Luna, Domingo Toute variété de Moisezon presque homogeéne sous un tore est un schéma. 
(English summary) [All Moishezon manifolds almost homogeneous under a torus are 
schemes] 92k:32048 

Mabuchi, Toshiki C-actions with divisorial fixed point loci. 

Pinchuk, S.1. see Bedford, Eric, 92f:32024 

Ransford, T. J. (with White, M. C.) Holomorphic self-maps of the spectral unit ball. 
92g:32049 

Richardson, R. W. (with Slodowy, Peter) Minimum vectors for real reductive algebraic 
groups. 92a:14055 

Shimizu, Satoru A characterization of homogeneous bounded domains. 92j:32118 

Slodowy, Peter see Richardson, R. W., 92a:14055 

White, M.C. see Ransford, T. J., 92g:32049 


32M10 Homogeneous complex manifolds [see also 14M17, 
57T15] 


Azad, H. (with Loeb, Jean-Jacques) Ona theorem of Kempf and Ness. 92f:32057 

Dimou, G. E. Convex cones and skeletons up to dimension 8. 92g:32060 

— Nonsymmetric homogeneous bounded domains in 6-dimensional complex space. 
92g:32061 

Dorfmeister, Josef Special algebraic properties of Kahler algebras. 92b:32037 

— (with Guan, Zhuang Dan) Pseudo-Kahlerian homogeneous spaces admitting a reductive 
transitive group of automorphisms. 92k:32058 

Gilligan, Bruce Complex structure on reductions of homogeneous spaces. 92h:32048 

— On the ends of complex manifolds homogeneous under a Lie group. 92k:32059 

Guan, Zhuang Dan see Dorfmeister, Josef, 92k:32058 

Lichnerowicz, André Groupes kahleriens. (English summary) [Kahler Lie groups] 
92¢:32037 

Loeb, Jean-Jacques Fonctions plurisousharmoniques invariantes sur certains espaces 
homogénes. (English summary) [Invariant plurisubharmonic functions on some 
homogeneous spaces] 92a:32042 

— see also Azad, H., 92£:32057 


Items with secondary classifications in 32M10 

Baston, Robert J. (with Eastwood, Michael G.) * The Penrose transform. 92j:32112 

Cordero, Luis A. Holomorphic principal torus bundles, curvature and compact complex 
nilmanifolds. 92b:53111 

Eastwood, Michael G. see Baston, Robert J., 92j:32112 

Gong, Sheng (with Zheng, Xue An) Distortion theorem for biholomorphic mappings in 
transitive domains. I. 92a:32028 

— see also Zheng, Xue An; et al., 92j:32080 

Gorbatsevich, V. V. Plesio-compact homogeneous spaces. II. (Russian) 92m:22003 

Gyoja, Akihiko Vector valued invariants of prehomogeneous vector spaces. 92g:20064 

Heinzner, Peter Geometric invariant theory on Stein spaces. 92j:32116 

Huckleberry, Alan T. Actions of groups of holomorphic transformations. 92j:32115 

Inoue, Junko Fourier transforms for affine automorphism groups on Siegel domains. 
92d:22005 

Kaneyuki, Soji Pseudo-Hermitian symmetric spaces and Siegel domains over nondegenerate 
cones. 92f:32058 

Kriiger, Andreas Homogeneous Cauchy-Riemann structures. 92j:32068 

Lisiecki, Wojciech A classification of coherent state representations of unimodular Lie 
groups. 92h:22025 

Vedernikov, S. V. Invariant conditions generated by global pairs. (Russian) 92m:53086 

Zheng, Xue An (with Gong, Sheng) Distortion theorem for biholomorphic mappings in 
transitive domains. II, III. 92j:32080 

— see also Gong, Sheng; et al., 92a:32028 


32M12 Almost homogeneous manifolds and spaces 
[see also 14M17] 


Gellhaus, Christoph Aquivariante Kompaktifizierungen des C”. [Equivariant compactifica- 
tions of C"] 92¢:32038 





32M12 


Muro, Masakazu Invariant hyperfunctions on regular prehomogeneous vector spaces of 
commutative parabolic type. 924:32043 

— see also Sato, Mikio, 92¢:32039 

Sato, Mikio Theory of prehomogeneous vector spaces (algebraic part)—the English 
translation of Sato’s lecture from Shintani’s note. 92c:32039 

(Shintani, Takuro) see Sato, Mikio, 92c:32039 

Uda, Toshio Quotients of complements of hyperplanes in C” by some subgroups of 
GL(n;C). 924:32044 


Items with secondary classifications in 32M12 

Kimura, Tatsuo (with Kogiso, Takeyoshi) On adelic zeta distributions associated to certain 
regular prehomogeneous vector spaces. (Japanese) 92e:11137 

Kogiso, Takeyoshi see Kimura, Tatsuo, 92e:11137 

Mortajine, A. * Classification des espaces préhomogénes de type parabolique réguliers et 
de leurs invariants relatifs. (French) [Classification of regular parabolic prehomogeneous 
spaces and their relative invariants] 92e:20031 


32M15 Hermitian symmetric spaces, bounded symmetric 
domains [see also 22E10, 22E40, 53C35, 57T15] 


Carcano, Giovanna Hermitian symmetric spaces and Siegel domains. (Italian summary) 
92i:32036 

De Fabritiis, Chiara Fixed points for automorphisms in Cartan domains of type IV. 
92m:32056 

Dimou, G. E. New representation of N-algebras type II in C?. 92k:32060 

Kaneyuki, Soji On the causal structures of the Silov boundaries of symmetric bounded 
domains. 92h:32049 

— Pseudo-Hermitian symmetric spaces and Siegel domains over nondegenerate cones. 
92:32058 

Kowata, Atsutaka see Wada, Ryoko, 92c:32041 

Mitchell, Josephine (with Sampson, G.) Two-sided L'-estimates for Szegé kernels on 
classical domains. 924:32045 

Mok, Ngaiming * Metric rigidity theorems on Hermitian locally symmetric manifolds. 
92d:32046 

Nomura, Takaaki Algebraically independent generators of invariant differential operators 
on a bounded symmetric domain. 92c¢:32040 

Sampson, G. see Mitchell, Josephine, 924:32045 

Satake, Ichiré On the rational structures of symmetric domains. II. Determination of 
rational points of classical domains. 92k:32061 

Shimizu, Satoru A characterization of homogeneous bounded domains. 92j:32118 

Sun, Li Min Hilbert integrals on Siegel domains of type II. 92h:32050 

Tsai, I-Hsun Rigidity of holomorphic maps between compact Hermitian symmetric spaces. 
92d:32047 

Tsuji, Tadashi Homogeneous Siegel domains of nonpositive holomorphic bisectional 
curvature. 92j:32119 

Vesentini, Edoardo Holomorphic isometries of Cartan domains of type one. (Italian 
summary) 92g:32062 

Wada, Ryoko (with Kowata, Atsutaka) Holomorphic functions on the nilpotent subvariety 
of symmetric spaces. 92c:32041 

k, Kazimierz Hyperbolic geometry in bounded symmetric homogeneous domains 

of J*-algebras. 92j:32120 


Items with secondary classifications in 32M15 

Azukawa, Kazuo (with Morimoto, Shigeru) Second Ricci curvature of homogeneous 
bounded domains. 92m:53083 

Carcano, Giovanna Algebras of invariant functions on the Silov boundary of generalized 
half-planes. 92f:22013 

Coburn, L. A. Toeplitz operators, quantum mechanics, and mean oscillation in the Bergman 
metric. 92j:47045 

Coquereaux, R. Lie balls and relativistic quantum fields. 92i:81159 

La, Qi Keng The various kernels of classical domains and classical manifolds. 92m:32042 

Matsumoto, Keiji (with Yoshida, Masaaki) On some discrete reflection groups and 
congruence subgroups. 924:32041 

Misra, Gadadhar (with Narasimha Sastry, N.S.) Homogeneous tuples of operators and 
representations of some classical groups. 92g:47039 

Morimoto, Shigeru see Azukawa, Kazuo, 92m:53083 

Narasimha Sastry, N.S. see Misra, Gadadhar, 92g:47039 


Olafsson, Gestur (with rsted, Bent) Is there an orbit method for affine symmetric spaces? 
92e:22023 


Orsted, Bent see Olafsson, Gestur, 92e:22023 
Vigué, Jean-Pierre Un lemme de Schwarz pour les domaines bornés symétriques 
irréductibles et certains domaines bornés strictement convexes. [A Schwarz lemma for 


irreducible bounded symmetric domains and certain strictly convex bounded domains] 
92c:32026 


Yoshida, Masaaki see Matsumoto, Keiji, 92d:32041 

Zhu, Ke He Positive Toeplitz operators on weighted Bergman spaces of bounded symmetric 
domains. 92f:47022 

— Functions of bounded mean oscillation in the Bergman metric on bounded symmetric 
domains. 92j:32013 


32M99 None of the above, but in this section 


Items with secondary classifications in 32M99 


Kondo, Seizo Sur les sociétés de surfaces caractéristiques dans l’espace de deux variables 
complexes. II. Singularité essentielle dégénérative. [On societies of characteristic surfaces 
in the space of two complex variables. II. Degenerative essential singularity] 92b:32025 


Lee, Min Ho Conjugates of equivariant holomorphic maps of symmetric domains. 
92f:11082 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 1992 446 


32Nxx Automorphic functions [see also 11Fxx, 20H10, 
22E40, 30F35] 


32N05 General theory of automorphic functions of several 
complex variables 


Items with secondary classifications in 32N05 


Aomoto, Kazuhiko Finiteness of a cohomology associated with certain Jackson integrals. 
92¢:33035 


32N10 Automorphic forms 


Items with secondary classifications in 32N10 

Kudla, Stephen S. (with Millson, John J.) Intersection numbers of cycles on locally 
symmetric spaces and Fourier coefficients of holomorphic modular forms in several 
complex variables. 92e:11035 

Millson, John J. see Kudla, Stephen S., 92e:11035 

Noguchi, Junjiro Moduli space of abelian varieties with level structure over function fields. 
92c:14042 


32N15 Automorphic functions in symmetric domains 


Items with secondary classifications in 32N15 

Fefferman, Charles L. (with Kohn, J. J.; Machedon, M.) Hélder estimates on CR manifolds 
with a diagonalizable Levi form. 92a:32019 

Kohn, J. J. see Fefferman, Charles L.; et al., 92a:32019 

Kudla, Stephen S. (with Millson, John J.) Intersection numbers of cycles on locally 
symmetric spaces and Fourier coefficients of holomorphic modular forms in several 
complex variables. 92e:11035 

Kuga, Michio Invariants and Hodge cycles. II. 92¢:11061 

Machedon, M. see Fefferman, Charles L.; et al., 92a:32019 

Millson, John J. see Kudla, Stephen S., 92e:11035 


32P05 Non-Archimedean complex analysis (should 
also be assigned at least one other classification 
number from Section 32 describing the type of 
problem) 


Bartenwerfer, Wolfgang Die Beschranktheit der Stiickzahl der Fasern K-analytischer 
Abbildungen. [The boundedness of the number of fibers of K-analytic mappings] 
92e:32017 

Ha Huy Khodi La hauteur des fonctions holomorphes p-adiques de plusieurs variables. 
(English summary) [Height for p-adic holomorphic functions of several variables] 
92£:32059 

— La hauteur d’une suite de points dans ck et l’interpolation des fonctions holomorphes 
de plusieurs variables. (English summary) [Heights for sequences of points in cc and 
interpolation of holomorphic functions of several variables] 92k:32062 

Morita, Yasuo On vanishing of cohomologies of rigid analytic spaces. 92¢:32042 


Items with secondary classifications in 32P05 

Chiarellotto, Bruno Duality in rigid analysis. 92d:32015 

Escassut, Alain The equation y’ = fy in C, when / is not quasi-invertible. 92b:12015 

Genestier, Alain Irréductibilité du revétement de Drinfel’d. (English summary) [Irreducibil- 
ity of the Drinfel’d covering] 92f:11168 

Karlowski, Reinhard (with Ullrich, Peter) A Tate-theoretic view of Krasner’s non- 
Archimedean function theory. 92b:12016 

Litkebohmert, Werner (with Vogel, Ferdinand) Algebraic families of p-adic tori. 
92d:14038 

Ullrich, Peter see Karlowski, Reinhard, 92b:12016 

Vogel, Ferdinand see Liitkebohmert, Werner, 92d:14038 

Voskuil, Harm p-adic symmetric domains. 92c:22024 


32Sxx Singularities 
Dimca, Alexandru * Topics on real and complex singularities. 92d:32048 


Items with secondary classifications in 32Sxx 
(Mond, D. M.Q.) see Singularity theory and its applications, 92d:00035 
(Montaldi, James) see Singularity theory and its applications, 924:00035 


Items listed otherwise than by author 
Coventry * Singularity theory and its applications. Part I. 92d:00035 
Lecture Notes in Mathematics * Singularity theory and its applications. Part I. 92d:00035 
Singularity theory and its applications * Singularity theory and its applications. Part I. 
92d:00035 
Symposium: 
Singularity Theory and its Applications * Singularity theory and its applications. Part I. 
92d:00035 


32S05 Local singularities [see also 14B05] 


Damon, James .% -equivalence and the equivalence of sections of images and discriminants. 
92m:32057 


Ptoski, Arkadiusz Multiplicity and the Lojasiewicz exponent. 92d:32049 





447 1992 


Zaharia, Alexandru On simple germs with nonisolated singularities. 92m:32058 


Items with secondary classifications in 32S05 

Chadzytiski, Jacek (with Krasifiski, Tadeusz) The Lojasiewicz exponent of an analytic 
mapping of two complex variables at an isolated zero. 92e:32018 

Costa, Antonio F. Jets of germs of plane curves and solution trees. (Spanish) (see 92g:00024) 

Dimca, Alexandru * Topics on real and complex singularities. 92d:32048 

Frangoise, J.-P. Relative cohomology and volume forms. 92h:32051 

Gaffney, T. (with Mond, D. M. Q.) Cusps and double folds of germs of analytic maps C? + 
C2. 92f:32061 

— (with Mond, D. M. Q.) Weighted homogeneous maps from the plane to the plane. 
92¢:32043 

Gérard, Raymond Une classe d’opérateurs non linéaires a singularité réguliére. [A class of 
nonlinear operators with regular singularity] (see 92m:00040) 

Hauser, Herwig (with Miiller,Gerd) Analytic curves in power series rings. 92f:32062 

Jeddi, Ahmed Singularité réelle isolée. (English summary) [Isolated real singularities] 
92i:32039 

Krasiriski, Tadeusz see Chadzynski, Jacek, 92e:32018 

Kushner, L. Finite determination on algebraic sets. 92h:58030 

Luengo, Ignacio (with Pfister, Gerhard) Normal forms and moduli spaces of curve 
singularities with semigroup (2p, 2g, 2pq + d). 92k:32063 

Lynker, Monika (with Schimmrigk, Rolf) Landau-Ginzburg theories as orbifolds. 
92g:14044 

Mond, D. M.Q. Deformations which preserve the nonimmersive locus of a map-germ. 
92d:58017 

— The number of vanishing cycles for a quasihomogeneous mapping from C? to C°. 
92i:32038 

— see also Gaffney, T., 92c:32043 and 92£:32061 

Montaldi, James (with van Straten, Duco) One-forms on singular curves and the topology 
of real curve singularities. 92e:32024 

Miiller, Gerd see Hauser, Herwig, 92f:32062 


Panyushev, D.1I. Rationality of singularities and the Gorenstein property of nilpotent orbits. 


(Russian) 92i:14047 

Pfister, Gerhard see Luengo, Ignacio, 92k:32063 

Pioski, Arkadiusz Newton polygons and the Lojasiewicz exponent of a holomorphic 
mapping of C?. 92g:32048 

Schimmrigk, Rolf see Lynker, Monika, 92g:14044 

van Straten, Duco see Montaldi, James, 92e:32024 

Szpirglas, Aviva Singularités de bord: dualité, formules de Picard-Lefschetz relatives et 
diagrammes de Dynkin. (English summary) [Boundary singularities: duality, relative 
Picard-Lefschetz formulas and Dynkin diagrams] 92e:32023 

Yau, Stephen S.-T. A remark on moduli of complex hypersurfaces. 92g:32063 

— Solvability of Lie algebras arising from isolated singularities and nonisolatedness of 
singularities defined by sl(2,C) invariant polynomials. 92j:32125 

Yuzvinsky, Sergey A free resolution of the module of derivations for generic arrangements. 
92b:52026 


32S10 Invariants of analytic local rings 


Chadzyriski, Jacek (with Krasinski, Tadeusz) The Lojasiewicz exponent of an analytic 
mapping of two complex variables at an isolated zero. 92e:32018 

Damon, James On the number of branches for real and complex weighted homogeneous 
curve singularities. 92:32060 

Gaffney, T. (with Mond, D. M. Q.) Cusps and double folds of germs of analytic maps C? > 
C?. 92£:32061 

— (with Mond, D. M. Q.) Weighted homogeneous maps from the plane to the plane. 
92¢:32043 

Krasiriski, Tadeusz see Chadzynski, Jacek, 92e:32018 

Luengo, Ignacio (with Pfister, Gerhard) Normal forms and moduli spaces of curve 
singularities with semigroup (2p, 2q,2pq +d). 92k:32063 

Mond, D. M. Q. see Gaffney, T., 92c:32043 and 92f:32061 

Pfister, Gerhard see Luengo, Ignacio, 92k:32063 


Items with secondary classifications in 32S10 


Dimca, Alexandru * Topics on real and complex singularities. 92d:32048 
Gusein-Zade, S.M. On the degree of an equivariant map. 92j:58012 


32S15 Equisingularity (topological and analytic) [see also 14E15] 

Krasitiski, Tadeusz On branches at infinity of a pencil of polynomials in two complex 
variables. 92j:32121 

Mostowski, Tadeusz A criterion for Lipschitz equisingularity. (Russian summary) 
92b:32038 

Parameswaran, A. J. Topological equisingularity for isolated complete intersection 
singularities. 92k:32064 


Items with secondary classifications in 32S15 

Bermejo Diaz, Isabel (with Gonzalez-Almenara, R.; Toste, M.) Algebroid surfaces 
of dimensionality type 1. Positive characteristic. (Spanish. English summary) (see 
92b:00044 

Briancon, Joél (with Geandier, Francoise; Maisonobe, Philippe) Déformation d’une 
singularité isolée d’hypersurface et polynémes de Bernstein. (English summary) 
[Deformation of an isolated hypersurface singularity and Bernstein polynomials] 
92k:32065 

Casas-Alvero, Eduardo Base points of polar curves. (French summary) 92f:14023 

Gaffney, T. (with Mond, D. M. Q.) Cusps and double folds of germs of analytic maps C? — 
C2. 92£:32061 

— (with Mond, D. M. Q.) Weighted homogeneous maps from the plane to the plane. 
92¢:32043 


32S Singularities 


32825 


Geandier, Francoise Déformations 4 nombre de Milnor constant: quelques résultats sur les 
polynémes de Bernstein. [Deformations with constant Milnor number: some results on 
Bernstein polynomials] 92e:32020a 

— Erratum to: “Deformations with constant Milnor number: some results on Bernstein 
polynomials”. (French) 92e:32020b 

— see also Briangon, Joél; et al., 92k:32065 

Gonzalez-Almenara, R. see Bermejo Diaz, Isabel; et al., (92b:00044) 

Hauser, Herwig (with Miiller,Gerd) Analytic curves in power series rings. 92f:32062 

Maisonobe, Philippe see Briancon, Joi; et al., 92k:32065 

Mattei, J.-F. Modules de feuilletages holomorphes singuliers. I. Equisingularité. [Moduli of 
singular holomorphic foliations. I. Equisingularity] 92f:32056 

Mond, D. M.Q. see Gaffney, T., 92c:32043 and 92:32061 

Miller, Gerd see Hauser, Herwig, 92f:32062 

Némethi, Andras (with Zaharia, Alexandru) On the bifurcation set of a polynomial 
function and Newton boundary. 92c:32046 

Toste, M. see Bermejo Diaz, Isabel; et al., (92b:00044) 

Zaharia, Alexandru see Némethi, Andras, 92c:32046 


32S20 Global theory of singularities; cohomological properties 
[see also 14E15] 


Jozsa, Richard (with Rice, John William) On the cohomology ring of hyperplane comple- 
ments. 92¢:32044 

Klimek, Stawomir (with Lesniewski, Andrzej) Local rings of singularities and N = 2 
supersymmetric quantum mechanics. 92i:32037 

Lesniewski, Andrzej see Klimek, Stawomir, 92i:32037 

Rice, John William see Jozsa, Richard, 92c:32044 


Items with secondary classifications in 32S20 


Arvola, William A. Complexified real arrangements of hyperplanes. 92d:52027 

Fleischmann, Peter (with Janiszczak, Ingo) The lattices and Mébius functions of stable 
closed subrootsystems and hyperplane complements for classical Weyl groups. 92f:52025 

Janiszczak, Ingo see Fleischmann, Peter, 92f:52025 

Orlik, Peter Complements of subspace arrangements. 92h:52014 

Terao, Hiroaki Factorizations of the Orlik-Solomon algebras. 92m:52024 

Xiao, Er Jian Cohomology of complete intersections with isolated singularities. (Chinese) 
92k:32066 


32S25 (Hyper-) surface singularities [see also 14J17] 


Aleksandrov, A.G. Nonisolated hypersurface singularities. 92b:32039 

Artal-Bartolo, Enrique Forme de Seifert des singularités de surface. (English summary) 
[Seifert form of surface singularities] 92j:32122 

Briancon, Joél (with Geandier, Francoise; Maisonobe, Philippe) Déformation d’une 
singularité isolée d’hypersurface et polynémes de Bernstein. (English summary) 
[Deformation of an isolated hypersurface singularity and Bernstein polynomials} 
92k:32065 

Dimca, Alexandru Differential forms and hypersurface singularities. 92j:32123 

Francoise, J.-P. Relative cohomology and volume forms. 92h:32051 

Geandier, Francoise see Briancon, Joél; et al., 92k:32065 

Janeczko, Stanistaw On quasicaustics and their logarithmic vector fields. 92j:32124 

Maisonobe, Philippe see Briancon, Joél; et al., 92k:32065 

Wall, C. T. C. Elliptic complete intersection singularities. 92m:32059 

Xiao, Er Jian Cohomology of complete intersections with isolated singularities. (Chinese) 
92k:32066 

Yau, Stephen S.-T. A remark on moduli of complex hypersurfaces. 92g:32063 

— Solvability of Lie algebras arising from isolated singularities and nonisolatedness of 
singularities defined by sl(2,C) invariant polynomials. 92j:32125 


Items with secondary classifications in 32S25 

Behnke, Kurt (with Christophersen, Jan Arthur) Hypersurface sections and obstructions 
(rational surface singularities). 92¢:14002 

Christophersen, Jan Arthur see Behnke, Kurt, 92c:14002 

Dimca, Alexandru * Topics on real and complex singularities. 92d:32048 

Geandier, Francoise Déformations 4 nombre de Milnor constant: quelques résultats sur les 
polynémes de Bernstein. [Deformations with constant Milnor number: some results on 
Bernstein polynomials] 92e:32020a 

— Erratum to: “Deformations with constant Milnor number: some results on Bernstein 
polynomials”. (French) 92¢e:32020b 

de Jong, Theo (with van Straten, Duco) On the base space of a semi-universal deformation 
of rational quadruple points. 92k:32067 

Katz, Sheldon H. Small resolutions of Gorenstein threefold singularities. 92f:14001 

Kearton, Cherry (with Steenbrink, J. H. M.) Spherical algebraic knots increase with 
dimension. 92j:57015 

Palamodov, V. P. Tangent fields on deformations of complex spaces. (Russian) 92k:32034 

Schrauwen, Rob Deformations and the Milnor number of nonisolated plane curve 
singularities. 92j:32128 

Shi, He The positivity of the Chern characters of a hypersurface with singularities. 
92¢:14004 

Siersma, Dirk Hypersurfaces with singular locus a plane curve and transversal type A). 
92a:32044 

Steenbrink, J. H.M. see Kearton, Cherry, 92j:57015 

van Straten, Duco see de Jong, Theo, 92k:32067 

Timm, Mathew The simple connectivity of links of singularities with one-dimensional 
critical locus. 92m:57029 

Veys, W. Relations between numerical data of an embedded resolution. 92g:14011 

Watanabe, Kimio Distribution formula for terminal singularities on the minimal resolution 
of a quasi-homogeneous simple K3 singularity. 92d:32053 





32830 


32S30 Deformations of singularities; vanishing cycles 
[see also 14B07] 


Barlet, Daniel Interaction de strates consécutives pour les cycles évanescents. [Interaction of 
consecutive strata for vanishing cycles] 92j:32126 

Christophersen, Jan Arthur On the components and discriminant of the versal base space of 
cyclic quotient singularities. 92j:32127 

Goryunov, V. V. Monodromy of the image of the mapping C? — C?. (Russian) 92m:32060 

Hauser, Herwig (with Miller, Gerd) Analytic curves in power series rings. 92f:32062 

de Jong, Theo (with van Straten, Duco) Deformations of the normalization of hypersur- 
faces. 92d:32050 

— (with van Straten, Duco) On the base space of a semi-universal deformation of rational 
quadruple points. 92k:32067 

Mond, D. M. Q. The number of vanishing cycles for a quasihomogeneous mapping from C” 
to C?. 92i:32038 

Miller, Gerd see Hauser, Herwig, 92f:32062 

Schrauwen, Rob Deformations and the Milnor number of nonisolated plane curve 
singularities. 92j:32128 

Shioda, Tetsuji Mordell-Weil lattices of type Eg and deformation of singularities. 
92k:32068 

Siersma, Dirk Vanishing cycles and special fibres. 92j:32129 

van Straten, Duco see de Jong, Theo, 92d:32050 and 92k:32067 

Vasil’ev, V.A. Topology of complements to discriminants and loop spaces. 92¢e:32019 

Wall, C.T.C. Deformations of real singularities. 92c:32045 


Items with secondary classifications in 32S30 


Aleksandrov, A.G. Nonisolated hypersurface singularities. 92b:32039 

Behnke, Kurt (with Kahn, Constantin; Riemenschneider, Oswald) Infinitesimal deforma- 
tions of quotient surface singularities. 92a:14003 

— (with Christophersen, Jan Arthur) Hypersurface sections and obstructions (rational 
surface singularities). 92c:14002 

Briancon, Joél (with Geandier, Francoise; Maisonobe, Philippe) Déformation d’une 
singularité isolée d’hypersurface et polynémes de Bernstein. (English summary) 
[Deformation of an isolated hypersurface singularity and Bernstein polynomials] 
92k:32065 

Christophersen, Jan Arthur see Behnke, Kurt, 92c:14002 

Damon, James .9% -equivalence and the equivalence of sections of images and discriminants. 
92m:32057 

— (with Mond, D. M. Q.) .%-codimension and the vanishing topology of discriminants. 
92m:58011 

Geandier, Francoise Déformations 4 nombre de Milnor constant: quelques résultats sur les 
polynémes de Bernstein. [Deformations with constant Milnor number: some results on 
Bernstein polynomials] 92¢:32020a 

— Erratum to: “Deformations with constant Milnor number: some results on Bernstein 
polynomials”. (French) 92e:32020b 

— see also Briancon, Joél; et al., 92k:32065 

Janeczko, Stanislaw On quasicaustics and their logarithmic vector fields. 92j:32124 

Jeddi, Ahmed Singularité réelle isolée. (English summary) [Isolated real singularities] 
92i:32039 

de Jong, Theo (with van Straten, Duco) A deformation theory for nonisolated singularities. 
92a:14004 

Kahn, Constantin see Behnke, Kurt; et al., 92a:14003 

Kostov, V. P. On the stratification and singularities of the Stokes hypersurface of one- and 
two-parameter families of polynomials. 92f:32068 

Luengo, Ignacio (with Pfister, Gerhard) Normal forms and moduli spaces of curve 
singularities with semigroup (2p, 2g, 2pq +d). 92k:32063 

Maisonobe, Philippe see Briancon, Joél; et al., 92k:32065 

Miyajima, Kimio Deformations of a complex manifold near a strongly pseudo-convex 
real hypersurface and a realization of Kuranishi family of strongly pseudo-convex CR 
structures. 92b:32031 

— Deformations of strongly pseudo-convex CR structures and deformations of normal 
isolated singularities. 92g:32041 

Mond, D. M. Q. see Damon, James, 92m:58011 

Palamodov, V. P. Tangent fields on deformations of complex spaces. (Russian) 92k:32034 

Parameswaran, A. J. Topological equisingularity for isolated complete intersection 
singularities. 92k:32064 

Pfister, Gerhard see Luengo, Ignacio, 92k:32063 

Riemenschneider, Oswald see Behnke, Kurt; et al., 92a:14003 

van Straten, Duco see de Jong, Theo, 92a:14004 

Szpirglas, Aviva Singularités de bord: dualité, formules de Picard-Lefschetz relatives et 
diagrammes de Dynkin. (English summary) [Boundary singularities: duality, relative 
Picard-Lefschetz formulas and Dynkin diagrams] 92e:32023 

Varchenko, A. N. Mappings of periods that are connected with the versal deformation of a 
critical point of a function, and the discriminant. (Russian) (see 92f:58004) 

Vasil’ev, V. A. Cohomology of knot spaces. 92a:57016 


32S35 Mixed Hodge theory of singular varieties [see also 14C30, 
14D07] 


Homann, Wilfried * Isolierte Singularitaten und gemischte Hodge-Strukturen. (German) 
[Isolated singularities and mixed Hodge structures] 92k:32069 

Karpishpan, Yakov Pole order filtration on the cohomology of algebraic links. 92d:32051 

Tu, Li Huang On the complexes that induce the Clemens-Schmid exact sequence: the case of 
isolated singularities. (Chinese. English summary) 92b:32040 


Items with secondary classifications in 32835 


Cecotti, S. N = 2 Landau-Ginzburg vs. Calabi-Yau o-models: nonperturbative aspects. 
92h:32038 


Dimca, Alexandru Differential forms and hypersurface singularities. 92j:32123 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


1992 448 


Lé Van Thanh Quelques remarques sur le spectre de singularité d’un germe de courbe plane. 
[Some remarks on the singularity spectrum of a plane-curve germ] 92£:32064 

Saito, Morihiko Period mapping via Brieskorn modules. (French summary) 92h:32052 

— On Steenbrink’s conjecture. 92e:32021 


32S40 Monodromy; relations with differential equations and 
D-modules 


Artal-Bartolo, Enrique Sur la monodromie des singularités superisolées. (English summary) 
[On the monodromy of superisolated singularities] 92d:32052 

Barlet, Daniel La forme hermitienne canonique pour une singularité presque isolée. [The 
canonical Hermitian form for an almost isolated singularity] 92k:32070 

Briancon, Jo@l (with Laurent, Yves; Maisonobe, Philippe) Sur les modules différentiels 
holonomes réguliers, cohérents relativement a une projection. (English summary) [On 
regular holonomic modules coherent relative to a projection] 92g:32064 

Date, Etsuré (with Jimbo, Michio; Matsuo, Atsushi; Miwa, Tetsuji) Hypergeometric-type 
integrals and the si(2,C) Knizhnik-Zamolodchikov equation. 92f:32063 

Geandier, Francoise Déformations 4 nombre de Milnor constant: quelques résultats sur les 
polynémes de Bernstein. [Deformations with constant Milnor number: some results on 
Bernstein polynomials] 92¢e:32020a 

— Erratum to: “Deformations with constant Milnor number: some results on Bernstein 
polynomials”. (French) 92e:32020b 

Jeddi, Ahmed Singularité réelle isolée. (English summary) [Isolated real singularities} 
92i:32039 

Jimbo, Michio see Date, Etsurd; et al., 92f:32063 

Laurent, Yves see Briancon, Joél; et al., 92g:32064 

Maisonobe, Philippe see Briancon, Joél; et al., 92g:32064 

Matsuo, Atsushi see Date, Etsurd; et al., 92f:32063 

Miwa, Tetsuji see Date, Etsurd; et al., 92f:32063 

Oka, Mutsuo’ Principal zeta-function of nondegenerate complete intersection singularity. 
92b:32041 

Saito, Morihiko Period mapping via Brieskorn modules. (French summary) 92h:32052 

— On Steenbrink’s conjecture. 92e:32021 

Shatalov, V. E. see Sternin, B. Yu., 92i:32040 

Siersma, Dirk Variation mappings on singularities with a 1-dimensional critical locus. 
92e:32022 

Sternin, B. Yu. (with Shatalov, V. E.) A formula for the asymptotic expansion of an integral 
in complex analysis. (Russian) 92i:32040 

Szpirglas, Aviva Singularités de bord: dualité, formules de Picard-Lefschetz relatives et 
diagrammes de Dynkin. (English summary) [Boundary singularities: duality, relative 
Picard-Lefschetz formulas and Dynkin diagrams] 92¢:32023 

Varchenko, A. N. Mappings of periods that are connected with the versal deformation of a 
critical point of a function, and the discriminant. (Russian) (see 92f:58004) 


Items with secondary classifications in 32S40 

Aomoto, Kazuhiko Finiteness of a cohomology associated with certain Jackson integrals. 
92¢:33035 

Cartier, Pierre Développements récents sur les groupes de tresses. Applications a la 
topologie et a l’algébre. [Recent developments on braid groups. Applications to topology 
and algebra] 92d:20053 

Feigin, B. L. (with Schechtman, V. V.; Varchenko, A. N.) On algebraic equations satisfied 
by correlators in Wess-Zumino-Witten models. 92d:81121 

Francoise, J.-P. Relative cohomology and volume forms. 92h:32051 

Goryunov, V. V. Monodromy of the image of the mapping C? — C?. (Russian) 92m:32060 

Lawrence, R. J. Homological representations of the Hecke algebra. 92d:16020 

Matsuo, Atsushi An application of Aomoto-Gel’fand hypergeometric functions to the SU(n) 
Knizhnik-Zamolodchikov equation. 92g:33026 

Moussu, R. (with Roche, Claude André) Théorie de Hovanskii et probleme de Dulac. 
[Khovanskii’s theory and the Dulac problem] 92e:58169 

Némethi, Andrés Generalized local and global Sebastiani-Thom type theorems. 92m:32061 

— Global Sebastiani-Thom theorem for polynomial maps. 92d:32054 

Orlik, Peter Milnor fiber complexes for Shephard groups. 92a:52020 

Roche, Claude André see Moussu, R., 92¢:58169 

Schechtman, V. V. (with Varchenko, A. N.) Hypergeometric solutions of Knizhnik- 
Zamolodchikov equations. 92g:33027 

— see also Feigin, B. L.; et al., 92d:81121 

Shioda, Tetsuji Mordell-Weil lattices of type Eg and deformation of singularities. 
92k:32068 

Varchenko, A. N. Multidimensional hypergeometric functions and their appearance in 
conformal field theory, algebraic K-theory, algebraic geometry, etc. 92i:33004 

— see also Feigin, B. L.; et al., 92d:81121 and Schechtman, V. V., 92g:33027 


32S45 Modifications; resolution of singularities [see also 14E15] 


Bierstone, Edward (with Milman, Pierre D.) A simple constructive proof of canonical 
resolution of singularities. 92h:32053 

Gonzalez-Sprinberg, Gerard Quelques descriptions de désingularisations plongées de 
surfaces. [Some descriptions of embedded desingularizations of surfaces] 92g:32065 

Lé Van Thanh Quelques remarques sur Ic spectre de singularité d’un germe de courbe plane. 
[Some remarks on the singularity spectrum of a plane-curve germ] 92f:32064 

Milman, Pierre D. see Bierstone, Edward, 92h:32053 

Watanabe, Kimio Distribution formula for terminal singularities on the minimal resolution 
of a quasi-homogeneous simple K3 singularity. 92d:32053 


Items with secondary classifications in 32845 


Ando, Tetsuya An example of an exceptional (—2n — 1, n)-curve in an algebraic 3-fold. 
92g:14010 

Cossart, V. Contact maximal en caractéristique positive et petite multiplicité. [Maximal 
contact for positive characteristic and small multiplicity] 92e:14010 

Ishida, Masa-Nori Cusp singularities given by reflections of stellable cones. 92m:14067 





449 1992 


Katz, Sheldon H. Small resolutions of Gorenstein threefold singularities. 92f:14001 

Oka, Mutsuo’ Principal zeta-function of nondegenerate complete intersection singularity. 
92b:32041 

Veys, W. Relations between numerical data of an embedded resolution. 92g:14011 


32S50 Topological aspects: Lefschetz theorems, topological 
classification, invariants 


Montaldi, James (with van Straten, Duco) One-forms on singular curves and the topology 
of real curve singularities. 92e:32024 

Némethi, Andrés (with Zaharia, Alexandru) On the bifurcation set of a polynomial 
function and Newton boundary. 92¢:32046 

— Global Sebastiani-Thom theorem for polynomial maps. 924:32054 

Oka, Mutsuo! On the topology of full nondegenerate complete intersection variety. 
92¢:32047 

van Straten, Duco see Montaldi, James, 92e:32024 

Zbigniew Topological invariants of weighted homogeneous polynomials. 

92j:32130 

Yau, Stephen S.-T. Topological types and multiplicities of isolated quasihomogeneous 
surface singularities. 92b:32042 

Zaharia, Alexandru see Némethi, Andras, 92c:32046 


Items with secondary classifications in 32S50 

Damon, James (with Mond, D. M. Q.) .-codimension and the vanishing topology of 
discriminants. 92m:58011 

Goryunov, V. V. Monodromy of the image of the mapping C? — C>. (Russian) 92m:32060 

Hamm, Helmut A. (with Lé Ding Trang) Rectified homotopical depth and Grothendieck 
conjectures. 92j:32131 

Herzig, K. (with Weissgold, M.; Tataru-Mihai, P. 1.) Connecting random matrix and 
topological LG models via integrability. 92m:58061 

Jambu, Michel Yves Arrangements d’hyperplans. II. Topologie et géométrie. 2. (English 
summary) [Arrangements of hyperplanes. II. Topology and geometry. 2] 92a:52018 

Laudal, O. A. (with Martin, Bernd; Pfister, Gerhard) Moduli of plane curve singularities 
with C*-action. 92j:14030 

Lé Ding Trang see Hamm, Helmut A., 92j:32131 

Martin, Bernd see Laudal, O. A.; et al., 92j:14030 

Massy, David B. The Lé varieties. II]. 92c:32049 

Mond, D. M.Q. The number of vanishing cycles for a quasihomogeneous mapping from C? 
to C>. 92i:32038 

— see also Damon, James, 92m:58011 

Orlik, Peter Arrangements in topology. 92k:52023 

Pfister, Gerhard see Laudal, O. A.; et al., 92j:14030 

Siersma, Dirk Vanishing cycles and special fibres. 92j:32129 

Tataru-Mihai, P.1. see Herzig, K.; et al., 92m:58061 

Weissgold, M. see Herzig, K.; et al., 92m:58061 


32S55 Milnor fibration; relations with knot theory 
[see also 57M25, 57Q45] 


Fiedler, Thomas Algebraic links and the Hopf fibration. 92¢:32048 

Ha Huy Vui Sur lirrégularité du diagramme splice pour I’entrelacement a l’infini des 
courbes planes. (English summary) [On the irregularity of the splice diagram for the link 
at infinity of plane curves] 92k:32071 

Lé Ding Trang (with Michel, Francoise; Weber, Claude) Courbes polaires et topologie des 
courbes planes. [Polar curves and topology of plane curves] 92b:32043 

Massey, David B. The Lé varieties. II. 92¢:32049 

Michel, Francoise see Lé Diing Trang; et al., 92b:32043 

Némethi, Andras Generalized local and global Sebastiani-Thom type theorems. 92m:32061 

Shubladze, M. Sh. Infinitely determined hyperplane singularities. (Russian. English and 
Georgian summaries) 92a:32043 

Siersma, Dirk Hypersurfaces with singular locus a plane curve and transversal type A). 
92a:32044 

Weber, Claude see Lé Ding Trang; et al., 92b:32043 


Items with secondary classifications in 32S55 


Artal-Bartolo, Enrique Sur la monodromie des singularités superisolées. (English summary) 
[On the monodromy of superisolated singularities] 924:32052 

Du Bois, Philippe (with Michel, Francoise) Sur la forme de Seifert des entrelacs 
algébriques. (English summary) [On the Seifert form of algebraic links] 92g:57035 

Homann, Wilfried * Isolierte Singularitaten und gemischte Hodge-Strukturen. (German) 
[Isolated singularities and mixed Hodge structures] 92k:32069 

Kearton, Cherry (with Steenbrink, J. H.M.) Spherical algebraic knots increase with 
dimension. 92j:57015 

Lé Ding Trang Complex analytic functions with isolated singularities. 92j:32132 

Michel, Francoise see Du Bois, Philippe, 92g:57035 

Némethi, Andras (with Zaharia, Alexandru) On the bifurcation set of a polynomial 
function and Newton boundary. 92¢:32046 

Oka, Mutsuo' Principal zeta-function of nondegenerate complete intersection singularity. 
92b:32041 

Siersma, Dirk Variation mappings on singularities with a 1-dimensional critical locus. 
92e:32022 e 

Steenbrink, J. H. M. see Kearton, Cherry, 92j:57015 

Szafraniec, Zbigniew On the Euler characteristic mod 2 of real projective hypersurfaces. 
(Russian summary) 92d:14046 

Timm, Mathew The simple connectivity of links of singularities with one-dimensional 
critical locus. 92m:57029 

Yau, Stephen S.-T. Topological types and multiplicities of isolated quasihomogeneous 
surface singularities. 92b:32042 

Zaharia, Alexandru see Némethi, Andras, 92c:32046 


32S Singularities 


32S60 Stratifications; constructible sheaves; intersection 
cohomology [see also 58C27] 


Andronikof, Emmanuel Intégrales de Nilsson et faisceaux constructibles. (English summary) 
[Nilsson integrals and constructible sheaves] 92k:32072 

Bolondi, Giorgio Homologie des espaces complexes. [Homology of complex spaces] 
924:32055 

Fu, Joseph H. G. On Verdier’s specialization formula for Chern classes. 92k:32073 

Hamm, Helmut A. Morse theory on singular spaces and Lefschetz theorems. 92b:32044 

— (with Lé Ding Trang) Rectified homotopical depth and Grothendieck conjectures. 
92j:32131 

Lé Ding Trang Complex analytic functions with isolated singularities. 92j:32132 

— see also Hamm, Helmut A., 92j:32131 

Ohsawa, Takeo Cheeger-Goreski [Goresky]-MacPherson’s conjecture for the varieties with 
isolated singularities. 92d:32056 

Schwartz, Marie-Hélene * Champs radiaux sur une stratification analytique. (French) 
[Radial fields on an analytic stratification] 92i:32041 

Yokura, Shoji On a generalization of MacPherson’s Chern homology class. II. 92a:32045 


Items with secondary classifications in 32S60 

Barlet, Daniel Interaction de strates consécutives pour les cycles évanescents. [Interaction of 
consecutive strata for vanishing cycles] 92j:32126 

Bekka, K. C-régularité et trivialité topologique. [C-regularity and topological triviality] 
92h:58012 

Bjérner, Anders (with Ziegler, Ginter M.) Combinatorial stratification of complex 
arrangements. 92k:52022 

Brasselet, Jean-Paul (with Fieseler, Karl-Heinz; Kaup, Ludger) Classes caractéristiques 
pour les cones projectifs et homologie d’intersection. [Characteristic classes for projective 
cones and intersection homology] 92k:14022 

Briancon, Joél (with Geandier, Francoise; Maisonobe, Philippe) Déformation d’une 
singularité isolée d’hypersurface et polynémes de Bernstein. (English summary) 
[Deformation of an isolated hypersurface singularity and Bernstein polynomials} 
92k:32065 

Fieseler, Karl-Heinz see Brasselet, Jean-Paul; et al., 92k:14022 

Geandier, Francoise see Briancon, Joél; et al., 92k:32065 

Gelfand, I. M. (with Kapranov, M. M.; Zelevinskii, A. V.) Generalized Euler integrals and 
A-hypergeometric functions. 92e:33015 

— (with Graev, M. I.; Retakh, V. S.) Hypergeometric functions on strata of small codimen- 
sions in G;,». (Russian. English summary) 92h:33027 

Graev, M. 1. see Gelfand, I. M.; et al., 92h:33027 

Hain, Richard M. (with MacPherson, Robert) Higher logarithms. 92c:14016 

Hauser, Herwig (with Miiller,Gerd) Analytic curves in power series rings. 92f:32062 

Kapranov, M. M. see Gelfand, I. M.; et al., 92e:33015 

Kaup, Ludger see Brasselet, Jean-Paul; et al., 92k:14022 

Kostov, V. P. On the stratification and singularities of the Stokes hypersurface of one- and 
two-parameter families of polynomials. 92f:32068 

Lojasiewicz, Stanislaw (with Wachta, K.; Stasica, J.) Stratifications sous-analytiques et la 
condition de Verdier. [Subanalytic stratifications and the Verdier condition] 92j:32021 

MacPherson, Robert see Hain, Richard M., 92c:14016 

Maisonobe, Philippe see Briancon, Joél; et al., 92k:32065 

Mebkhout, Zoghman Le théoréme de positivité de l’irrégularité pour les y-modules. [The 
positivity theorem for the irregularity of Zy-modules] 92j:32031 

Mostowski, Tadeusz Tangent cones and Lipschitz stratifications. 92f:32008 

— Acriterion for Lipschitz equisingularity. (Russian summary) 92b:32038 

Moussu, R. (with Roche, Claude André) Théorie de Hovanskii et probleme de Dulac. 
[Khovanskii’s theory and the Dulac problem] 92e:58169 

Miiller, Gerd see Hauser, Herwig, 92f:32062 

Nagase, Masayoshi Remarks on the L?-Dolbeault cohomology groups of singular algebraic 
surfaces and curves. 92d:58199 

Ohsawa, Takeo A vanishing theorem on Kahler manifolds with certain stratified structures. 
92i:32006 

Pardon, William L. (with Stern, Mark A.) L?-d-cohomology of complex projective 
varieties. 92i:32034 

Retakh, V.S. see Gelfand, I. M.; et al., 92h:33027 

Roche, Claude André see Moussu, R., 92¢:58169 

Saper, Leslie (with Zucker, Steven M.) An introduction to L?-cohomology. 92k:14023 

Schapira, Pierre Operations on constructible functions. 92h:32012 

Stasica, J. see Lojasiewicz, Stanistaw; et al., 92j:32021 

Stern, Mark A. see Pardon, William L., 92i:32034 

Wachta, K. see Lojasiewicz, Stanistaw; et al., 92j:32021 

Yokura, Shoji Some variants of Deligne-Grothendieck-MacPherson’s natural transforma- 
tion C, of Chern class. 92j:14013 

Zelevinskii, A. V. see Gelfand, I. M.; et al., 92e:33015 

Ziegler, Ginter M. see Bjérner, Anders, 92k:52022 

Zucker, Steven M. see Saper, Leslie, 92k:14023 


32S65 Singularities of holomorphic vector fields 


Beloshapka, V. K. Holomorphic transformations of a quadric. (Russian) 92f:32065 

Brasselet, Jean-Paul (with Sebastiani, Marcos) Une remarque sur la divergence des champs 
de vecteurs. (English summary) [On the divergence of vector fields] 92f:32066 

Cerveau, Dominique Résultats de type Artin pour les systemes dynamiques holomorphes. 
[Artin-type results for holomorphic dynamical systems] 92f:32067 

Ito, Toshikazu Transversality of linear holomorphic vector field on C”. 92i:32042 

Mabuchi, Toshiki C-actions with divisorial fixed point loci. 

Sebastiani, Marcos see Brasselet, Jean-Paul, 92f:32066 


Items with secondary classifications in 32S65 
Janeczko, Stanislaw On quasicaustics and their logarithmic vector fields. 92j:32124 





32865 


Sergeichuk, V. V. A remark on the classification of holomorphic matrices up to similarity. 
(Russian) 92k:58035 
32S70 Other operations on singularities 


Kostov, V. P. On the stratification and singularities of the Stokes hypersurface of one- and 
two-parameter families of polynomials. 92f:32068 


33-XX Special functions {33-XX deals with the 
properties of functions as functions. For 
orthogonal functions, see also 42Cxx; for 
aspects of combinatorics, see 05Axx; for 
number-theoretic aspects, see 11-—XX; for 
representation theory, see 22Exx.} 


Items with secondary classifications in 33-XX 


Dzyadyk, V. K. New approaches to the theory of special functions and their approximations. 
(Russian) (see 92i:00028a) 


33-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Brychkov, Yu. A. * Hexoropsie 2udbepeniMaIbHbIe COOTHOMECHHA AIA CleMHasIbHbIX 
éyxxuut. (Russian) [Some differential relations for special functions] 92d:33001 


33-01 Instructional exposition (textbooks, tutorial papers, etc.) 
Askey, Richard A. Graphs as an aid to understanding special functions. (see 91b:00040) 
Seaborn, James B. * Hypergeometric functions and their applications. 92h:33001 
Items with secondary classifications in 33-01 


Janich, Klaus * Analysis fiir Physiker und Ingenieure. (German) [Analysis for physicists 
and engineers] 92a:00008 


33-02 Research exposition (monographs, survey articles) 


Ismail, Mourad El Houssieny (with Zhang, Ruiming) The Hellmann-Feynman theorem and 
the variation of zeros of special functions. 92g:33001 

Iwasaki, Katsunori (with Kimura, Hironobu; Shimomura, Shun; Yoshida, Masaaki) 
* From Gauss to Painlevé. 92j:33001 

Kimura, Hironobu see Iwasaki, Katsunori; et al., 92j:33001 

Matsumoto, Keiji (with Sasaki, Takeshi; Yoshida, Masaaki) The Aomoto-Gel’fand 
hypergeometric function and period mappings. (Japanese) 92a:33001 

Sasai, Takao Evaluating finite monodromy groups of generalized hypergeometric equations 
and the algebraic processing system MACSYMA. (Japanese) 92a:33002 

Sasaki, Takeshi see Matsumoto, Keiji; et al., 92a:33001 

Shimomura, Shun see Iwasaki, Katsunori; et al., 92j:33001 

Yoshida, Masaaki see Matsumoto, Keiji; et al., 92a:33001 and Iwasaki, Katsunori; et al., 
92j:33001 

Zhang, Ruiming see Ismail, Mourad El Houssieny, 92g:33001 


Items with secondary classifications in 33-02 
(Brychkov, Yu. A.) see Olver, F. W. J., 92b:41050 


Nikiforov, A. F. (with Suslov, S. K.; Uvarov, V. B.) * Classical orthogonal polynomials of a 
discrete variable. 92m:33019 


Olver, F. W. J. *& AcummToruka #4 cnenmambubie bynxmun. (Russian) [Asymptotics and 
special functions] 92b:41050 

(Prudnikov, A. P.) see Olver, F. W. J., 92b:41050 

Suslov, S. K. see Nikiforov, A. F.; et al., 92m:33019 

Uvarov, V. B. see Nikiforov, A. F.; et al., 92m:33019 


33-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Stolarsky, Kenneth B. Gauss’ gamma multiplication theorem: analogues and extensions. 
92m:33001 


Items with secondary classifications in 33-03 

Askey, Richard A. Ramanujan and hypergeometric and basic hypergeometric series. 
92k:01019 

— S. Ramanujan and hypergeometric and basic hypergeometric series. (Russian) 92k:01020 

(Atakishiev, N.M.) see Askey, Richard A., 92k:01020 

Li, E. Herbert (with Tin, S.-K.) The Lobachevskiy’s function and related integrals. 
92j:01037 

(Lobachevskii, N. I.) see Li, E. Herbert, 92j:01037 

(Suslov, S. K.) see Askey, Richard A., 92k:01020 

Tin, S.-K. see Li, E. Herbert, 92j:01037 


33-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES 


Items with secondary classifications in 33-04 

Almkvist, Gert (with Zeilberger, Doron) The method of differentiating under the integral 
sign. 924:26003 

Piquette, Jean C. A method for symbolic evaluation of indefinite integrals containing special 
functions or their products. 92g:68069 

Sasai, Takao Evaluating finite monodromy groups of generalized hypergeometric equations 
and the algebraic processing system MACSYMA. (Japanese) 92a:33002 

Zeilberger, Doron see Almkvist, Gert, 92d:26003 


33-06 Proceedings, conferences, collections, etc. 


(Kashiwara, Masaki) see Special functions, 92m:33002 
(Miwa, Tetsuji) see Special functions, 92m:33002 


Items listed otherwise than by author 
Conference: 

Special Functions * Special functions. 92m:33002 
Okayama * Special functions. 92m:33002 
Special functions * Special functions. 92m:33002 


Items with secondary classifications in 33-06 


(Dimovski, Ivan H.) see Complex analysis and applications ’87, 924:30002 
(Kiryakova, Virginia S.) see Complex analysis and applications ’87, 92d:30002 
(Raghunathan, T.T.} see Symposium: Analysis, 92b:00048 

(Ramanujan, Srinivasa) see Symposium: Analysis, 92b:00048 

(Sharma, Krishna Chandra) see Symposium: Analysis, 92b:00048 

(Thakare, N. K.) see Symposium: Analysis, 92b:00048 


Items listed otherwise than by author 
Anniversary: 
Birth of Ramanujan, Srinivasa * Ramanujan International Symposium on Analysis. 
92b:00048 
Colloquium: 
Theory of Differential Equations in the Complex Field * Equations différentielles dans 
le champ complexe. Vol. II. [Differential equations in the complex field. Vol. II] 
92m:00039 
Complex analysis and applications °87 * Complex analysis and applications ’87. 92d:30002 
Conference: 
Complex Analysis and Applications * Complex analysis and applications ’87. 92d:30002 
Differential equations in the complex field * Equations différentielles dans le champ 
complexe. Vol. II. [Differential equations in the complex field. Vol. II] 92m:00039 
Equations différentielles dans le champ complexe * Equations différentielles dans le champ 
complexe. Vol. II. [Differential equations in the complex field. Vol. IT] 92m:00039 
Pune * Ramanujan International Symposium on Analysis. 92b:00048 
Representation theory of groups and special functions * Gun no hydgenron to tokushu 
kansi. (Japanese) [Representation theory of groups and special functions] 92d:20005 
Strasbourg * Equations différentielles dans le champ complexe. Vol. II. [Differential 
equations in the complex field. Vol. II] 92m:00039 
Symposium: 
Analysis * Ramanujan International Symposium on Analysis. 92b:00048 
Representation Theory of Groups and Special Functions * Gun no hydgenron to tokushu 
kans0. (Japanese) [Representation theory of groups and special functions] 92d:20005 
Varna * Complex analysis and applications ’87. 92d4:30002 


33Bxx Elementary classical functions 


33B10 Exponential and trigonometric functions 


Audit, Philippe see Truong, T. T., 92f:33001 

Carpenter, Amos J. (with Varga, Richard S.; Waldvogel, Jorg) Asymptotics for the zeros of 
the partial sums of e7. I. 92m:33003 

— see also Varga, Richard S., 92m:33004 

Hayek, Nacere (with Negrin, E.R.) On modified Bourget’s functions. 92j:33002 

— (with Negrin, E. R.) On modified Bourget’s functions of several arguments. 92j:33003 

Mishra, Sadhana Integrals involving exponential function, generalized hypergeometric se- 
ries and Fox’s H-function, and Fourier series for products of generalized hypergeometric 
functions. 92b:33001 

Negrin, E.R. see Hayek, Nacere, 92j:33002 and 92j:33003 

Stone, Alexander P. Power series expansions for trigonometric functions via solutions to 
initial value problems. 92j:33004 

Truong, T. T. (with Audit, Philippe) Generalised hyperbolic functions and some physical 
applications. 92f:33001 

Varga, Richard S. (with Carpenter, Amos J.) Asymptotics for the zeros of the partial sums 
of e7. II. 92m:33004 

— see also Carpenter, Amos J.; et al., 92m:33003 

Waldvogel, Jorg see Carpenter, Amos J.; et al., 92m:33003 


Items with secondary classifications in 33B10 

Hain, Richard M. (with MacPherson, Robert) Higher logarithms. 92c:14016 

Kobayashi, Kazuya On generalized gamma functions occurring in diffraction theory. 
92k:33014 

MacPherson, Robert see Hain, Richard M., 92c:14016 

Paganoni Marzegalli, Stefania On a class of functional equations characterizing the sine 
function. 92k:39013 

(Ramanujan, Srinivasa) see Somasundaram, D., 92a:11023 

Somasundaram, D. Some trigonometric formulae of Srinivasa Ramanujan in notebook 3. 
92a:11023 





451 1992 


33B15 Gamma, beta and polygamma functions 


Al-Saqabi, B. N. (with Kalla, Shyam L.; Srivastava, Hari M.) A certain family of infinite 
series associated with digamma functions. 92j:33005 

Anderson, Greg W. A short proof of Selberg’s generalized beta formula. 92j:33006 

Aular de Duran, Judith (with Kalla, Shyam L.) Functional relations with hypergeometric 
and digamma functions. (Spanish. English summary) 92j:33007 

Berry, Michael Victor Infinitely many Stokes smoothings in the gamma function. 
92h:33002 

Bohman, Jan (with Fréberg, Carl-Erik) The I’-function revisited: power series expansions 
and real-imaginary zero lines. 92e:33001 

Divis, Zita Asymptotic behavior of beta transform of a singular function. 92m:33005 

Froberg, Carl-Erik see Bohman, Jan, 92e:33001 

Gustafson, Robert A. Some g-beta and Mellin-Barnes integrals with many parameters 
associated to the classical groups. 92m:33006 

Kalla, Shyam L. see Al-Saqabi, B. N.; et al., 92j:33005 and Aular de Duran, Judith, 92j:33007 

Raab, Werner Abschatzungen der unvollstandigen Beta-Funktion in mehreren reellen 
Variablen und Parametern. (English summary) [Estimates of the incomplete beta 
function in several real variables and parameters] 92d:33002 

Srivastava, Hari M. see Al-Saqabi, B. N.; et al., 92j:33005 

Wagner, Eberhard Eine asymptotische Entwicklung von I'(z + a)/I'(z + £8) fiir |z| — oo und 
unbeschrankte a, 8. [An asymptotic expansion of I'(z + a)/I'(z + 8) for |z| - oo and 
unbounded a, 8] 92c:33001 


Items with secondary classifications in 33B15 

Brandt, F.T. (with Frenkel, J.; Taylor, John Clayton) Calculation of finite-temperature 
effects in field theories. 92h:81102 

de Doelder, P. J. On some series containing y(x) — w(y) and (w(x) — w(y))? for certain 
values of x and y. 92m:40002 

Frenkel, J. see Brandt, F. T.; et al., 92h:81102 

Kalia, R. N. Theorems arising from Leibniz rule of fractional calculus. 

Kapoulitsas, George M. The cooling of a slab under conti ly varying boundary 
conditions. 92¢:80006 

Kuga, Michio (with Parry, Walter; Sah, Chih-Han) Invariants and Hodge cycles. III. 
92h:11053a 

— (with Parry, Walter; Sah, Chih-Han) Invariants and Hodge cycles. IV. 92h:11053b 

Kurokawa, Nobushige Multiple sine functions and Selberg zeta functions. 92d:11094 

Lupag, Luciana The G-function of E. W. Barnes. 92¢:39024 

Parry, Walter see Kuga, Michio; et al., 92h:11053a and 92h:11053b 

Rovinskii, M. Z. Meromorphic functions connected with polylogarithms. (Russian) 
92h:11058 

Sah, Chih-Han see Kuga, Michio; et al., 92h:11053a and 92h:11053b 

Sandor, Jézsef * On some Diophantine equations involving the factorial of a number. 
92h:11028 

Soni, K. (with Soni, R. P.) An approximation connected with the exponential function. 
92g:41036 

Soni, R. P. see Soni, K., 92g:41036 

Taylor, John Clayton see Brandt, F. T.; et al., 92h:81102 





33B20 Incomplete beta and gamma functions (error functions, 
probability integral, Fresnel integrals) 

Gabutti, B. (with Kalla, Shyam L.; Hubbell, John H.) Some expansions related to the 
Hubbell rectangular-source integral. 92k:33001 

Guthmann, Andreas Asymptotische Entwicklungen fiir unvollstandige Gammafunktionen. 
(English summary) [Asymptotic expansions for incomplete gamma functions] 92b:33002 

Hubbell, John H. see Gabutti, B.; et al., 92k:33001 

Kalla, Shyam L. see Gabutti, B.; et al., 92k:33001 

Items with secondary classifications in 33B20 

Berry, Michael Victor Infinitely many Stokes smoothings in the gamma function. 
92h:33002 

Olver, F. W. J. Uniform, exponentially improved, asymptotic expansions for the general- 
ized exponential integral. 92g:41034 

Trimeéche, K. Opérateurs de permutation et analyse harmonique associés 4 des opérateurs 
aux dérivées partielles. [Permutation operators and harmonic analysis associated with 
partial differential operators] 92g:43004 


33B99 None of the above, but in this section 


Berndt, Bruce C. (with Evans, Ronald J.) An integral functional equation of Ramanujan 
related to the dilogarithm. 92:33002 
Evans, Ronald J. see Berndt, Bruce C., 92f:33002 


Items with secondary classifications in 33B99 


Sorokin, V. N. Convergence of simultaneous Padé approximants to two dilogarithms. 
(Russian summary) 92¢:41015 


33Cxx Hypergeometric functions 
Mathai, A. M. On scalar functions of many matrix variables. 92h:33003 


Items with secondary classifications in 33Cxx 


Brychkov, Yu. A. * Hexoroppie quddbepenumasbHble COOTHOMICHHA AI ClletHasIbHbIX 
éyxuxunn. (Russian) [Some differential relations for special functions] 92d:33001 
Niederhausen, Heinrich Initial value problems in the logarithmic algebra. 92m:05013 


33C05 Classical hypergeometric functions, >F; 
Arya, J.P. see Joshi, C. M., 92f:33003 


SPECIAL FUNCTIONS 


Bajpai, P. P. see Raina, R. K. 

Banerji, P.K. see Manihar, Jagdish, 92h:33007 

Borwein, Jonathan M. (with Borwein, Peter B.) A remarkable cubic mean iteration. 
92b:33003 

Borwein, Peter B. see Borwein, Jonathan M., 92b:33003 

Desarkar, Bandana Some generating functions involving hypergeometric polynomials by Lie 
algebraic method. 924:33003 

Galué, Leda A generalization of the Hubbell integral. (Spanish. English summary) 
92j:33008 

Grin‘ko, A. P. (with Kilbas, A. A.) On compositions of generalized fractional integrals and 
evaluation of definite integrals with Gauss hypergeometric functions. 92h:33004 

Joshi, C.M. (with Arya, J. P.) Some inequalities for the Gauss and Kummer hypergeomet- 
ric functions. 92f:33003 

Joyce, G.S. (with Zucker, I. J.) Special values of the hypergeometric series. 92h:33005a 

— (with Zucker, I. J.) Corrigendum: “Special values of the hypergeometric series”. 
92h:33005b 

Kilbas, A. A. see Grin‘ko, A. P., 92h:33004 

Kimura, Tosihusa (with Shima, Kazuhisa) A note on the monodromy of the hypergeometric 
differential equation. 92h:33006 

Koti, Kallappa M. Some inequalities in hypergeometric functions using statistical tech- 
niques. 92m:33007 

Manihar, Jagdish (with Banerji, P. K.) Transformation formulae of hypergeometric 
functions. 92h:33007 

Mishra, Sadhana Some results involving Bessel functions, generalized hypergeometric series 
and Fox’s H-function. 924:33004 

Niukkanen, A. W. A new approach to the theory of hypergeometric series and special 
functions of mathematical physics. (Russian) 92k:33002 

Raina, R. K. Some new generating functions. (Serbo-Croatian summary) 

— (with Bajpai, P. P.) Some new generating functions. II. 

Shima, Kazuhisa see Kimura, Tosihusa, 92h:33006 

Ueno, Kazuo Hypergeometric series formulas through operator calculus. 92b:33004 

— Hypergeometric series formulas generated by the Chu-Vandermonde convolution. 
92b:33005 

Wagner, Eberhard Asymptotische Entwicklungen der GauBschen hypergeometrischen 
Funktion fiir unbeschrankte Parameter. (English and Russian summaries) [Asymptotic 
expansions of the Gaussian hypergeometric function for unbounded parameters] 
92k:33003 

Zacker, I. J. see Joyce, G. S., 92h:33005a and 92h:33005b 


Items with secondary classifications in 33C05 


Exton, Harold On the confluent Heun equation (0, 2, 12]. 92h:34003 

Grin’‘ko, A. P. Solution of a nonlinear differential equation with a generalized fractional 
derivative. (Russian. English summary) 92i:26011 

— (with Kilbas, A. A.) On compositions of generalized fractional integrals. 92m:26009 

Habsieger, Laurent Linear recurrent sequences and irrationality measures. 92e:11074 

Hendriksen, Erik Associated Jacobi-Laurent polynomials. 92b:33019 

Kilbas, A. A. see Grin’ko, A. P., 92m:26009 

Koranyi, Adam Transformation properties of the generalized Muirhead operators. 
92b:35156 

Matsuda, Michihiko * Lectures on algebraic solutions of hypergeometric differential 
equations. 92a:14007 

Meshcherin, I. V. see Volkodavov, V. F., (92d:35003) 

Nakamura, Akira? Explicit one-soliton solutions of the (1 + 1)-dimensional Toda molecule 
equation and their large molecule limit of the infinite Toda lattice. 92d:58084 

Seaborn, James B. * Hypergeometric functions and their applications. 92h:33001 

Tratnik, M. V. Some multivariable orthogonal polynomials of the Askey tableau— 
continuous families. 92h:33023 

Volkodavov, V. F. (with Meshcherin, I. V.) Uniqueness and existence for some Volterra 
integral operators of the first and the third kind with a hypergeometric function in the 
kernels and their application. (Russian) (see 924:35003) 

Wilson, James A. Orthogonal functions from Gram determinants. 92¢:33018 


33C10 Bessel and Airy functions, cylinder functions, oF; 


Abad, Julio (with Sesma, Javier) Roots of Jo(z) — iJ;(z) = 0 as saddle points of the reduced 
logarithmic derivative of Jo(z). 

Adamchik, V.S. (with Kilbas, A. A.) Asymptotics of the Laplace convolution of two Bessel 
functions. (Russian) 92j:33009 

Agrest, M. M. Some relations for exponential-integral Bessel functions of the first kind. 
(Russian) 

Al-Hawaj, A. Y. see Bajpai, Shri Dhar, 92d:33005 

Apelblat, Alexander Integral representation of Kelvin functions and their derivatives with 
respect to the order. 92k:33004 

Bajpai, Shri Dhar Some formulae involving Bessel polynomial, confluent hypergeometric 
function and Meijer’s G-function. 

— (with Al-Hawaj, A. Y.) Application of Bessel polynomial and Meijer’s G-function in the 
study of time-domain synthesis problem. 92d:33005 

Bakulev, A. P. On an integral with modified Bessel function. 92j:33010 

— see also Glasser, M. L. 

(Balakrishnan, Narayanaswamy) see Gautschi, Walter 

Bissu, S. K. see Joshi, C. M., 92d:33007 

Carmesin, Hans-Otto Generalization of Bessel and hypergeometric functions. 92g:33002 

Chiccoli, C. see Dattoli, G.; et al., 92c:33002 and 92m:33009 

Chukwumah, G. C. Lie group theory of the Bessel equation of the first kind of integral order. 
92m:33008 

Coffey, Mark W. Calculation of generalized Lommel integrals for modified Bessel 
functions. 92f:33004 

Colwell, Peter Bessel functions and Kepler’s equation. 92j:33011 

Dattoli, G. (with Torre, Amalia; Lorenzutta, S.; Maino, Giuseppe; Chiccoli, C.) Theory of 
generalized Bessel functions. II. 92¢:33002 





33C10 


— (with Chiccoli, C.; Lorenzutta, S.; Maino, Giuseppe; Richetta, M.; Torre, Amalia) A note 

on the theory of n-variable generalized Bessel functions. 92m:33009 
, Bandana A new class of generating functions of generalised Bessel polynomials 

from the group theoretic point of view. 92g:33003 

Dunster, T. M. (with Lutz, D. A.) Convergent factorial series expansions for Bessel 
functions. 92g:33004 

Eke, Anthony N. Asymptotic representations for Airy functions. 924:33006 

Elbert, Arpad (with Kosik, Pal; Laforgia, Andrea) Monotonicity properties of the zeros of 
derivative of Bessel functions. 92k:33006 

— (with Laforgia, Andrea) A convexity property of zeros of Bessel functions. (Italian 
summary) 92m:33010 

— An approximation for the zeros of Bessel functions. 92h:33008 

— (with Laforgia, Andrea) On the zeros of generalized Airy functions. 92f:33005 

— (with Siafarikas, P.D.) On the zeros of aC,(x) + xCj(x), where C,(x) is a cylinder 
function. 92k:33005 

Exton, Harold Series of Bessel polynomials. 92h:33009 

Gauischi, Walter Comment on the paper: “A continued fraction approximation of the 
modified Bessel function /,(t)” [Appl. Math. Lett. 4 (1991), no. 1, 25-27] by P. R. 
Parthasarathy and N. Balakrishnan. 

Glasser, M. L. Comment: “On an integral with modified Bessel function” [J. Phys. A 24 
(1991), no. 24, 5747-5750; MR 92j:33010] by A. P. Bakulev. 

Gonzalez de Zamora, Magda (with Kalla, Shyam L.) A study of incomplete cylindrical 
functions. (Spanish. English summary) 92j:33012 

Gonzalez Rodriguez, José Manuel Study of a variant of the function of M. Wright. (Spanish) 
(see 92g:00024) 

Gu, Er Zuo see Yang, Wen Xiong; et al., 92g:33007 

Hatik, Milo’ (with Michalikova, Elena) A note on monotonicity of zeros of Bessel 
functions as functions of order. (German, Russian and Czech summaries) 92b:33006 

Hayek, Nacere Third-order Bessel-Clifford functions. (Spanish. English summary) (see 
92g:00024) 

— (with Negrin, E.R.) Ona function connected with the Bourget’s function. 92h:33010 

Hayek Calil, Nacere * Tablas de ecuaciones diferenciales integrables mediante funciones de 
Bessel-Clifford. (Spanish) [Tables of differential equations that are integrable via Bessel- 
Clifford functions] 92b:33007 

Ifantis, Evangelos K. (with Kokologiannaki, C. G.; Kouris, C. B.) On the positive zeros of 
the second derivative of Bessel functions. 92i:33001 

Joshi, C.M. (with Bissu, S. K.) Some inequalities of Bessel and modified Bessel functions. 
92d:33007 

Kalla, Shyam L. see Gonzalez de Zamora, Magda, 92j:33012 

Kerimov, M. K. (with Skorokhodov, S. L.) Some asymptotic formulas for cylindrical Bessel 
functions. (Russian) 92f:33006 

Kilbas, A. A. see Adamchik, V. S., 92j:33009 

Kiryakova, Virginia S. (with Spirova, Svetla) Representations of the solutions of hyper- 
Bessel differential equations via Meijer’s G-function. (see 92d:30002) 

Klusch, Dieter On the summation of Bessel functions and Hankel transforms. 92j:33013 

Kokologiannaki, C.G. see Ifantis, Evangelos K.; et al., 92i:33001 

Kosik, Pal see Elbert, Arpad; et al., 92k:33006 

Kouris, C. B. see Ifantis, Evangelos K.; et al., 92i:33001 

Laforgia, Andrea Bounds for modified Bessel functions. 92f:33007 

— see also Elbert, Arpad, 92£:33005; 92k:33006 and 92m:33010 

Lang, T. see Wong, Raderick, 92f:33008 and 92i:33003 

Londergan, J.T. see Mehrem, R.; et al., 92h:33011 

Lorch, Lee (with Szego, Peter) On the points of inflection of Bessel functions of positive 
order. I. 92i:33002a 

— (with Szego, Peter) Corrigenda to: “On the points of inflection of Bessel functions of 
positive order. I”. 92i:33002b 

Lorenzutta, S. see Dattoli, G.; et al., 92c:33002 and 92m:33009 

Latz, D. A. see Dunster, T. M., 92g:33004 

MacDonald, Duncan Anthony The zeros of (4 ) — Jo(¢)J2(¢) = 0 with an application to 
swirling flow in a tube. 92g:33005 

Macfarlane, M. H. see Mehrem, R.; et al., 92h:33011 

Maino, Giuseppe see Dattoli, G.; et al., 92c:33002 and 92m:33009 

Mehrem, R. (with Londergan, J. T.; Macfarlane, M. H.) Analytic expressions for integrals 
of products of spherical Bessel functions. 92h:33011 

Michalikov4, Elena see Hatik, MiloS, 92b:33006 

Miller, Allen R. Representations for incomplete integrals of cylindrical functions. 
92b:33008 

— (with Srivastava, Hari M.) Reduction formulas for Kampé de Fériet functions associated 
with certain classes of incomplete Lipschitz-Hankel type integrals of cylindrical functions. 
92m:33011 

Muldoon, M. E. On the positive roots of an equation involving modified Bessel functions. 
92g:33006 

Negrin, E.R. see Hayek, Nacere, 92h:33010 

(Parthasarathy, P.R.) see Gautschi, Walter 

Pittaluga, Giovanna (with Sacripante, Laura) Inequalities for the zeros of the Airy 
functions. 92b:33009 

Rahim, T. Bessel functions with applications to wave theory. 92m:33012 

Richetta, M. see Dattoli, G.; et al., 92m:33009 

Riekstins, E. * ®yuxuuu Jlommens. (Russian) [Lommel functions] 92d:33008 

Sacripante, Laura see Pittaluga, Giovanna, 92b:33009 

Sesma, Javier see Abad, Julio 

Siafarikas, P.D. see Elbert, Arpad, 92k:33005 

Skorokhodov, S. L. see Kerimov, M. K., 92f:33006 

Spirova, Svetla see Kiryakova, Virginia S., (92d:30002) 

Srivastava, Hari M. see Miller, Allen R., 92m:33011 

Svaiter, B. F. (with Svaiter, N. F.) A new Kontorowich-Lebedev-like transformation. 
924:33009 

Svaiter, N. F. see Svaiter, B. F., 92d:33009 

Szego, Peter see Lorch, Lee, 92i:33002a and 92i:33002b 

Torre, Amalia see Dattoli, G.; et al., 92c:33002 and 92m:33009 


SPECIAL FUNCTIONS 


1992 452 


Trione, Susana Elena Inversion of ultrahyperbolic Bessel operators. 92¢:33002 

Wong, Roderick (with Lang, T.) Asymptotic behaviour of the inflection points of Bessel 
functions. 92i:33003 

— (with Lang, T.) On the points of inflection of Bessel functions of positive order. II. 
92£:33008 

Yang, Wen Xiong (with Gu, Er Zuo; Zhu, Min) Extraction of characteristic roots on Bessel- 
Neumann’s mixed equations. (Chinese. English summary) 92g:33007 

Zhu, Min see Yang, Wen Xiong; et al., 92g:33007 


Items listed otherwise than by author 
Tables: 


Differential equations that are integrable via Bessel-Clifford functions see Hayek Calil, 
Nacere, 92b:33007 


Items with secondary classifications in 33C10 


Babushkina, L. V. (with Kerimov, M. K.; Nikitin, A. I.) Tables of Hankel functions in a 
complex domain. (Russian) 92i:65044 

— (with Kerimov, M. K.; Nikitin, A. I.) Tables of spherical Bessel functions of the third 
kind in a complex domain. (Russian) 

Barcelé, Juan Antonio Spherical Bessel functions: convergence in L”? norm. (Spanish. 
English summary) 92f:42034 

Bondarenko, V. F. Efficient summation of Schlémilch series of cylindrical functions. 
(Russian) 92j:40002 

Bouhaik, Mostafa (with Gallardo, Léonard) A Mehler-Heine formula for disk polynomials. 
92k:33008 

Brazel, Neal (with Lawless, Fiona; Wood, Alastair D.) Exponential asymptotics for an 

ig lue of a problem involving parabolic cylinder functions. 92g:34027 

Chiccoli, C. see Dattoli, G.; et al., 92m:33037 

Chongdar, A. K. On generating functions of Bessel polynomials by group-theoretic method. 
(Italian summary) 92h:33032 

Dattoli, G. (with Chiccoli, C.; Lorenzutta, S.; Maino, Giuseppe; Richetta, M.; Torre, 
Amalia) Generating functions of multivariable generalized Bessel functions and Jacobi- 
elliptic functions. 92m:33037 

Desarkar, Bandana Extension of bilateral generating relations of some special functions. 
92:33012 

Dib, Hacen Fonctions de Bessel sur une algébre de Jordan. [Bessel functions on a Jordan 
algebra] 92e:33017 

Dorta Diaz, José A. (with Méndez Pérez, José Manuel Romulo) Expansions in series of 
Bessel-Clifford functions and associated finite transforms. (Spanish. English summary) 
(see 92m:00049) 

DoSla, Zuzana Higher monotonicity properties of special functions: application on Bessel 
case |u| < $. 92b:34044 

Dudek-Chwaiek, Elzbieta The Bessel operators and its product with application to the 
boundary problems. (Polish summary) (see 92c:00013) 

Gallardo, Léonard see Bouhaik, Mostafa, 92k:33008 

Guadalupe Hernandez, José Javier (with Pérez, Mario; Ruiz Blasco, Francisco José; Varona, 
Juan Luis) Two notes on convergence and divergence a.e. of Fourier series with respect to 
some orthogonal systems. 92m:42032 

Han, Sung S. (with Kwon, Kil H.) Spectral analysis of Bessel polynomials in Krein space. 
92g:49031 

Howard, F.T. Sums of powers of the zeros of the Bessel polynomials. 92g:33016 

Iserles, A. (with Norsett, S. P.; Saff, E. B.) On transformations and zeros of polynomials. 
92£:42028 

Ismail, Mourad El Houssieny (with Zhang, Ruiming) The Hellmann-Feynman theorem and 
the variation of zeros of special functions. 92g:33001 

Jones, William B. (with Magnus, Arne; McCabe, John H.; Wyshinski, Nancy J.) Asymptotic 
properties of a family of orthogonal polynomial sequences. 92¢:42024 

Kabe, D. G. On the equivalence of two Bessel functions of matrix argument. 92h:62082 

Kerimov, M. K. see Babushkina, L. V.; et al., 921:65044 

Kholodov, A. N. The umbral calculus and orthogonal polynomials. 92b:33022 

Klusch, Dieter The sampling theorem, Dirichlet series and Bessel functions. 92i:41004 

Kvitsinskii, A. A. (with Merkur'ev, S. P.) Three-body plane wave at zero angular momen- 
tum and some addition theorems. 92a:81215 

Kwon, Kil H. see Han, Sung S., 92g:49031 

Lawless, Fiona see Brazel, Neal; et al., 92g:34027 

Lewanowicz, Stanislaw Evaluation of Bessel function integrals with algebraic singularities. 
921:65046 

Lorenzutta, S. see Dattoli, G.; et al., 92m:33037 

Magnus, Arne see Jones, William B.; et al., 92c:42024 

Maino, Giuseppe see Dattoli, G.; et al., 92m:33037 

Malika, Marianna see Malitky, Peter, 92c:65027 

Maliéky, Peter (with Malitka, Marianna) On the computation of Riccati-Bessel functions. 
(Slovak summary) 92¢:65027 

Markett, Clemens Initial-boundary value problems associated with a partial differential 
equation with two singular lines. 92b:35089 

McCabe, John H. see Jones, William B.; et al., 92c:42024 

McClure, J. P. (with Wong, Roderick) Asymptotic expansion of a quadruple integral 
involving a Bessel function. 924:41058 

Méndez Pérez, José Manuel Romulo see Dorta Diaz, José A., (92m:00049) 

Merkur'ev, S. P. see Kvitsinskii, A. A., 92a:81215 

Miller, Allen R. (with Moskowitz, Ira S.) Incomplete Weber integrals of cylindrical 
functions. 92h:33012 

Mirovitskaya, S. D. see Vorontsov, A. A., 92m:35196 

Mishra, Sadhana Some results involving Bessel functions, generalized hypergeometric series 
and Fox’s H-function. 924:33004 

Moiseev, E. I. The basis property of eigenfunctions of a nonlocal boundary value probl 
(Russian) 92h:35164 

Moskowitz, Ira S. see Miller, Allen R., 92h:33012 

Negrin, E.R. The K-transformation index. 92¢:44005 

Nikitin, A. I. see Babushkina, L. V.; et al., 921:65044 











453 1992 


Nersett, S. P. see Iserles, A.; et al., 92f:42028 

Pérez, Mario see Guadalupe Hernandez, José Javier; et al., 92m:42032 

Piessens, Robert On the computation of zeros and turning points of Bessel functions. 
92e:65019 

Prasad, Narendra see Rao, V. V. L. N., 92f:44002 

Rao, V. V.L.N. (with Prasad, Narendra) On self-reciprocal functions. 92f:44002 

Richetta, M. see Dattoli, G.; et al., 92m:33037 

Ruiz Blasco, Francisco José see Guadalupe Hernandez, José Javier; et al., 92m:42032 

Sadek, I.S. see Yiirekli, Osman, 92g:44005 

Saff, E. B. see Iserles, A.; et al., 92f:42028 

Torre, Amalia see Dattoli, G.; et al., 92m:33037 

Varona, Juan Luis see Guadalupe Hernandez, José Javier; et al., 92m:42032 

Vorontsov, A. A. (with Mirovitskaya, S. D.) * Cnennanbubie byHkuMH 3aa4 TeopHH 
paccesuua. (Russian) [Special functions in problems of scattering theory] 92m:35196 

Wong, Roderick see McClure, J. P., 92d:41058 

Wood, Alastair D. see Brazel, Neal; ct al., 92g:34027 

Wyshinski, Nancy J. see Jones, William B.; et al., 92c:42024 

Yiirekli, Osman (with Sadek, I. S.) A Parseval-Goldstein type theorem on the Widder 
potential transform and its applications. 92g:44005 

Zhang, Ruiming see Ismail, Mourad El Houssieny, 92g:33001 

Zhang, Ruo Jing A new solution to the Airy equation and its application to the analysis of 
hydrodynamic stability. (Chinese. English summary) 


33C15 Confluent hypergeometric functions, Whittaker functions, 
iF; 


Exton, Harold A generalised confluent hypergeometric equation and an application to a 
class of anharmonic oscillator. 92d:33010 

Gatteschi, Luigi New inequalities for the zeros of confluent hypergeometric functions. 
92b:33010 

Mathur, P. K. see Narain, Kuldeep, 92h:33013 

Miller, Allen R. (with Moskowitz, Ira S.) Incomplete Weber integrals of cylindrical 
functions. 92h:33012 

Moskowitz, Ira S. see Miller, Allen R., 92h:33012 

Narain, Kuldeep (with Mathur, P. K.) Simultaneous dual series equations invo'ving the 
product of ‘r’ generalized Bateman k-function. 92h:33013 

de Oliveira, E. Capelas On Jacobi expansions. 92e:33003 

— On generating functions. 92m:33013 

Ragab, Shahwar F. New analysis of Wittaker [Whittaker] functions. 92c:33003 


Items with secondary classifications in 33C15 

Arriola, E.R. (with Zarzo, A.; Dehesa, J. S.) Spectral properties of the biconfluent Heun 
differential equation. 92i:34033 

Aular de Duran, Judith (with Kalla, Shyam L.) Functional relations with hypergeometric 
and digamma functions. (Spanish. English summary) 92j:33007 

Bajpai, Shri Dhar Some formulae involving Bessel polynomial, confluent hypergeometric 
function and Meijer’s G-function. 

— Some results involving Meijer’s G-function and a new orthogonal combination of 
confluent hypergeometric functions. 92g:33023 

Bisht, C.S. see Srivastava, Hari M.; et al., 92g:11022 

Dehesa, J.S. see Arriola, E. R.; et al., 92i:34033 

Eaqub Ali, S. M. Unusual generating functions for the generalized Laguerre polynomials of 
Chatterjea. 92m:33015 

Exton, Harold A multidimensional generating function. 92k:33011 

Ismail, Mourad El Houssieny (with Li, Xin>) Bound on the extreme zeros of orthogonal 
polynomials. 92h:33019 

Joshi, J. M.C. see Srivastava, Hari M.; et al., 92g:11022 

Kalla, Shyam L. see Aular de Duran, Judith, 92j:33007 

Li, Xin? see Ismail, Mourad El Houssieny, 92h:33019 

Mitschi, Claude Differential Galois groups and G-functions. 92¢:12006 

Niwa, Shinji On generalized Whittaker functions on Siegel’s upper half space of degree 2. 
924:11050 

Olver, F. W. J. Uniform, exponentially improved, asymptotic expansions for the confluent 
hypergeometric function and other integral transforms. 92g:41035 

Singh Chandel, R. C. (with Vishwakarma, P. K.) Fractional integration and integral 
representations of Karlsson’s multiple hypergeometric function and its confluent forms. 

Srivastava, Hari M. (with Joshi, J. M. C.; Bisht, C. S.) Fractional calculus and the sum of 
powers of natural numbers. 92g:11022 

Villalba, Victor M. Separation of variables for the Klein-Gordon and Dirac equations in 
two-dimensional space-times with a null coordinate. (French summary) 92b:81032 

Vishwakarma, P. K. see Singh Chandel, R. C. 

Zarzo, A. see Arriola, E. R.; et al., 92i:34033 


33C20 Generalized hypergeometric series, ,F, 


Agrawal, B.D. (with Dave,G.N.) A few recurrence relations and finite difference formulae 
for a generalized multivariate polynomial system. 92f:33009 

— (with Dave, G. N.) Some m-dimensional generating relations for B4{(xXm),y}. 92g:33008 

Bihring, Wolfgang Generalized hypergeometric functions at unit argument. 92c:33004 

Danto, Jozef, Jr. (with Huta, Anton, Jr.) On the differential equation for the generalized 
hypergeometric function. (Russian and Slovak summaries) 92b:33011 

Dave, G. N. see Agrawal, B. D., 92f:33009 and 92g:33008 

Dotsenko, M. R. On some applications of Wright’s hypergeometric function. 92j:33014 

Ekhad, Shalosh B. A short proof of a “strange” combinatorial identity conjectured by 
Gosper. 92:33010 

Gavr, Neelima see Goyal, S. P.; et al., 92d:33011 

Goyal, S. P. (with Jain, R. M.; Gaur, Neelima) Fractional integral operators involving 
a product of generalized hypergeometric functions and a general class of polynomials. 
924:33011 

Huta, Anton, Jr. see Danvo, Jozef, Jr., 92b:33011 


33C Hypergeometric functions 


Jain, R.M. see Goyal, S. P.; et al., 92d:33011 

Masson, David R. Associated Wilson polynomials. 92h:33014 

— Wilson polynomials and some continued fractions of Ramanujan. 92h:33015 

Miller, Elizabeth A. (with Srivastava, Hari M.) A note on a generalized hypergeometric 
identity and certain related transformation and summation formulas. 92e:33004 

Nguyén Thanh Hai see Saigo, Megumi, 92d:33012 

Rahman, Mizan Biorthogonality of a system of rational functions with respect to a positive 
measure on [—1, 1]. 92h:33016 

Rathie, Arjun K. see Sharma, Geeta, 92k:33007 

Richards, Donald St. P. Totally positive kernels, Pélya frequency functions, and generalized 
hypergeometric series. 92a:33003 

Saigo, Megumi (with Nguyén Thanh Hai) The asymptotic representations of Appell series 
F, and Horn series H3 near boundaries of their Be regions. 924:33012 

Sharma, Geeta (with Rathie, Arjun K.) Integrals of a new series of hypergeometrical series. 
(Hindi. English summary) 92k:33007 

Singh, Dudh Nath see Singh, R. K., 92b:33012 

Singh, R. K. (with Singh, Dudh Nath) Finite difference formula for the generalized 
polynomial set 77 (x,y). 92b:33012 

Singh, Ramji P. see Singh, Shambhoo Nath, 92b:33013 

Singh, Shambhoo Nath (with Singh, Ramji P.) A generalised polynomial set {7;,(x,y)} and 
its representation in hypergeometric forms. 92b:33013 

Srivastava, Hari M. Ordinary and basic (or g-) hypergeometric functions and associated 
orthogonal polynomials. 92f:33011 

— Some recent developments in the theory of generalized hypergeometric functions. (see 
92d:30002) 

— Some recent results on g-series and g-polynomials. 92g:33009 

— see also Miller, Elizabeth A., 92e:33004 

Varchenko, A. N. Multidimensional hypergeometric functions and their appearance in 
conformal field theory, algebraic K-theory, algebraic geometry, etc. 92i:33004 

Weniger, Ernst Joachim On the summation of some divergent hypergeometric series and 
related perturbation expansions. 92d:33013 

Yan, Zhimin Generalized hypergeometric functions. (French summary) 92g:33010 

Zeilberger, Doron A holonomic systems approach to special functions identities. 92b:33014 

— The method of creative telescoping. 92c:33005 

Zeng, Jiang Un modéle symétrique pour l’identité de Al-Salam-Fields. (English summary) 
[A symmetric model for the identity of Al-Salam and Fields] 92j:33015 





Items with secondary classifications in 33C20 

Al-Saqabi, B. N. (with Kalla, Shyam L.; Srivastava, Hari M.) A certain family of infinite 
series associated with digamma functions. 92j:33005 

Bragg, L. R. Transmutations and ascent. 92m:35010 

Cherepnev, M. A. Algebraic independence of values of hypergeometric E-functions. 
(Russian) 92e:11079 

Dwork, Bernard * Generalized hypergeometric functions. 92h:14006 

Eaqub Ali, S. M. Unusual generating functions for the generalized Laguerre polynomials of 
Chatterjea. 92m:33015 

Grinkevich, G. V. On the compositional structure and inversion of an integral operator with 
the Saran function Fg in the kernel. (Russian) (see 92a:35004) 

Ismail, Mourad El Houssieny (with Letessier, J.; Valent, G.; Wimp, Jet) Two families of 
associated Wilson polynomials. 92b:33021 

Kalla, Shyam L. see Al-Saqabi, B. N.; et al., 92j:33005 

Kilbas, A. A. (with Saigo, Megumi; Zhuk, V. A.) On the composition of operators of 
generalized fractional integration with a differential operator in axisymmetric potential 
theory. (Russian) 92j:31004 

Koti, Kallappa M. Some inequalities in hypergeometric functions using statistical tech- 
niques. 92m:33007 

Letessier, J. see Ismail, Mourad El Houssieny; et al., 92b:33021 

Mishra, Sadhana Integrals involving Legendre function, generalized hypergeometric 
series and Fox’s H-function, and Fourier-Legendre series for products of generalized 
hypergeometric functions. 92b:33037 

Niukkanen, A. W. A new approach to the theory of hypergeometric series and special 
functions of mathematical physics. (Russian) 92k:33002 

Saigo, Megumi see Kilbas, A. A.; et al., 92j:31004 

Sasai, Takao Evaluating finite monodromy groups of generalized hypergeometric equations 
and the algebraic processing system MACSYMA. (Japanese) 92a:33002 

Srivastava, Hari M. see Al-Saqabi, B. N.; et al., 92j:33005 

Ueno, Kazuo Hypergeometric series formulas generated by the Chu- Vandermonde 
convolution. 92b:33005 

Valent, G. see Ismail, Mourad El Houssieny; et al., 92b:33021 

Wimp, Jet see Ismail, Mourad El Houssieny; et al., 92b:33021 

Zhuk, V. A. see Kilbas, A. A.; et al., 92j:31004 


33C45 Orthogonal polynomials and functions (Chebyshev, 
Legendre, Gegenbauer, Jacobi, Laguerre, Hermite, Hahn, 
etc.) 


Agarwal, Ravi P. (with Milovanovi¢, Gradimir V.) A characterization of the classical 
orthogonal polynomials. 924:33014 

Agrawal, B. D. (with Mukherjee, Sanchita) Some finite integral representations involving 
multiple hypergeometric series. (Hindi. English summary) 92e:33005 

Atakishiev, N. M. (with Suslov, S. K.) On the moments of classical and related polynomi- 
als. (Spanish summary) 92a:33004 

— (with Suslov, S. K.) Continuous orthogonality property for some classical polynomials of 
a discrete variable. (Spanish summary) 

Bala, R. N. (with Singh, S. N.) On the modified Laguerre polynomials. 92e:33006 

— see also Singh, Surya Narain, 92h:33020 

Basu, D. K. see Hazra, Mrityunjoy 

Bauldry, William C. Estimates of asymmetric Freud polynomials on the real line. 92¢:33008 





33C45 


Beerends, R. J. Chebyshev polynomials in several variables and the radial part of the 
Laplace-Beltrami operator. 92c:33006 

Belmehdi, Sald On the associated orthogonal polynomials. 92e:33007 

— see also Ronveaux, A., 92g:33020 

Bhatt, R.C. see Singh, O. V., 92f:33015 

Bhonsle, B. R. see Hardaha, D. R., 92g:33014 

Biedenharn, L.C. see Lohe, M. A.; et al., 924:33017 

Boichev, Georgi S. On Jacobi series having polar singularities on the boundaries of their 
convergence regions. 92j:33016 

Bonan, Stanford S. (with Clark, Dean S.) Estimates of the Hermite and the Freud 
polynomials. 92¢:33007 

Bouhaik, Mostafa (with Gallardo, Léonard) A Mehler-Heine formula for disk polynomials. 
92k:33008 

Brezinski, Claude Generalizations of the Christoffel-Darboux identity for adjacent families 
of orthogonal polynomials. 92k:33009 

Bunyak, Yu. A. Class of discrete orthogonal systems of subexponential functions. (Russian) 
92b:33015 

Chakrabarty, S. P. An extension of Chatterjea’s bilateral generating function involving 
Hermite polynomials. I, II. 92k:33010 

Charris Castaiieda, Jairo A. (with Rodriguez-Blanco, Guillermo) On systems of orthogonal 
polynomials with inner and end point masses. (Spanish) 92j:33017 

Chatterjea, S. K. On a generalization of Hermite polynomials. I, II. 

— (with Srivastava, Hari M.) Operational representations for the classical Hermite 
polynomials. 92e:33008 

— (with Eaqub Ali, S.M.) Some formulas of L. Carlitz on Hermite polynomials. 92h:33017 

Chen, Li-Chen (with Ismail, Mourad El Houssieny) On asymptotics of Jacobi polynomials. 
92g:33011 

Chongdar, A. K. see Sharma, 2.. 92c:33016 

Chukhrukidze, N. K. Approximate formulas for associated spherical Legendre functions of 
the first kind with an imaginary argument. (Russian) 92m:33014 

Clark, Dean S. see Bonan, Stanford S., 92c:33007 

Criscuolo, Giuliana (with Mastroianni, Giuseppe; Nevai, Paul) Associated generalized 
Jacobi functions and polynomials. 92h:33018 

Dehesa, J.S. see Zarzo, A.; et al., 92b:33028 

Desarkar, Bandana On a class of trilateral generating functions for modified Jacobi 
polynomials. 92g:33012 

— Extension of bilateral generating relations of some special functions. 92f:33012 

— Group-theoretic origins of certain generating functions involving modified Jacobi 
polynomials. 92j:33018 

Dhillon, S.S. A note on certain trilinear generating relations involving a class of polynomi- 
als. 92b:33016 

Dini, J. (with Maroni, Pascal) La multiplication d’une forme linéaire par une fraction ra- 
tionnelle. Application aux formes de Laguerre-Hahn. (English summary) [Multiplication 
of a linear form by a rational fraction. Application to Laguerre-Hahn forms] 92b:33017 

Domingo, Francisco (with Vinuesa Tejedor, Jaime) Orthogonal polynomials: zeros as 
parameters. (Spanish. English summary) (see 92g:00024) 

Duran Guardeiio, Antonio J. A bound on the Laguerre polynomials. 92i:33005 

Dwivedi, A. P. (with Shukla, S.C.) Quadruple series equations involving the product of “r” 
Jacobi polynomials of different indices. 92¢:33010 

Eaqub Ali,S. M. A theorem on bilateral generating function involving generalized Hermite 
polynomials. 92a:33005 

— Unusual generating functions for the generalized Laguerre polynomials of Chatterjea. 
92m:33015 

— see also Chatterjea, S. K., 92h:33017 

Exton, Harold A multidimensional generating function. 92k:33011 

Fischer, Bernd (with Golub, Gene Howard) On generating polynomials which are 
orthogonal over several intervals. 924:33015 

Fitouhi, A. (with Hamza, M. M.) A uniform expansion for the eigenfunction of a singular 
second-order differential operator. 92a:33006 

Frenzen, C. L. Error bounds via complete monotonicity for a uniform asymptotic expansion 
of the Legendre function P-™(cosh z). 92b:33018 

Gallardo, Léonard see Bouhaik, Mostafa, 92k:33008 

Gawronski, Wolfgang (with Shawyer, Bruce) Strong asymptotics and the limit distribution 
of the zeros of Jacobi polynomials P(2"**""**)_ 925:33019 

Golub, Gene Howard see Fischer, Bernd, 92d:33015 

Grinshpun, Z.S. A connection between /-incomplete linear combinations of orthogonal 
polynomials and Bernstein-Szegé polynomials, and localization of zeros of normalizing 
Fejér polynomials. (Russian) (see 92i:00016) 

Gupta, Dharma P. (with Ismail, Mourad El Houssieny; Masson, David R.) Associated 
continuous Hahn polynomials. 92m:33016 

Habsieger, Laurent Intégrales de Selberg et applications. (English summary) [Selberg 
integrals and applications] 92i:33006 

Hamza, M. M. see Fitouhi, A., 92a:33006 

Hardaha, D. R. Some generating functions of three variables analogue of Jacobi polynomi- 
als, Si mk (Xs y,Z). 92g:33013 

— (with Bhonsle, B. R.) Some generating functions of two variable analogue of Jacobi 
polynomials. 92g:33014 

Hazra, Mrityunjoy (with Basu, D. K.) Derivation of certain bilateral generating functions 
for Hermite polynomials with even and odd degree. 

Hendriksen, Erik Associated Jacobi-Laurent polynomials. 92b:33019 

— (with van Rossum, Herman) Orthogonal moments. 92f:33013 

— (with Njastad, Olav) Biorthogonal Laurent polynomials «vith biorthogonal derivatives. 
92g:33015 

Howard, F.T. Sums of powers of the zeros of the Bessel polynomials. 92g:33016 

Hubbell, John H. (with Srivastava, Hari M.) Certain theorems on bilateral generating 
functions involving Hermite, Laguerre, and Gegenbauer polynomials. 92b:33020 

Ismail, Mourad El Houssieny (with Letessier, J.; Valent, G.; Wimp, Jet) Two families of 
associated Wilson polynomials. 92b:33021 

— (with Li, Xin*) Bound on the extreme zeros of orthogonal polynomials. 92h:33019 

— see also Chen, Li-Chen, 92g:33011 and Gupta, Dharma P.; et al., 92m:33016 


SPECIAL FUNCTIONS 


Jo6, Istvan On Hermite-conjugate function. 92m:33017 

Kholodov, A. N. The umbral calculus and orthogonal polynomials. 92b:33022 

Kim, Sung S. (with Kwon, Kil H.) Generalized weights for orthogonal polynomials. 
92g:33017 

Koekoek, Roelof Generalizations of Laguerre polynomials. 924:33016 

Kwon, Kil H. see Kim, Sung S., 92g:33017 

Langer, Helmut (with Schneider, Albert!) Some remarks about polynomials which are 
orthogonal with respect to an indefinite weight. 92m:33018 

Lassalle, Michel Polynémes de Laguerre généralisés. (English summary) [Generalized 
Laguerre polynomials] 92g:33018 

— Polynémes de Jacobi généralisés. (English summary) [Generalized Jacobi polynomials] 
92g:33019 

Lesky, Peter, Jr. Die Vervollstandigung der diskreten klassischen Orthogonalpolynome. 
[The completion of discrete classical orthogonal polynomials] 

Letessier, J. see Ismail, Mourad E! Houssieny; et al., 92b:33021 

Li, Xin° see Ismail, Mourad El Houssieny, 92h:33019 

Lohe, M. A. (with Biedenharn, L. C.; Louck, J.D.) Tensor operator formulation of Weyl- 
ordered polynomials. 924:33017 

Lohéfer, G. Inequalities for Legendre functions and Gegenbauer functions. 92¢:33011 

Louck, J.D. see Lohe, M. A,; et al., 92d:33017 

Lyskova, A. S. Orthogonal polynomials of several variables. (Russian) 92j:33020 

Madhekar, H.C. see Thakare, N. K., 92b:33026 

Marcellan, Francisco Semiclassical orthogonal polynomials: a constructive approximation. 
(Spanish. English summary) 92c¢:33012 

Maroni, Pascal Introduction a l’étude des 6-polynémes orthogonaux semi-classiques. 
[Introduction to the study of semiclassical orthogonal 6-polynomials] 92¢:33013 

— Variations autour des polynémes orthogonaux classiques. (English summary) [Variations 
on classical orthogonal polynomials] 92i:33007 

— see also Dini, J., 92b:33017 

Masson, David R. see Gupta, Dharma P.; et al., 92m:33016 

Mastroianni, Giuseppe see Criscuolo, Giuliana; et al., 92h:33018 

Mhaskar, H. N. Bounds for certain Freud-type orthogonal polynomials. 92c:33009 

Milovanovi¢, Gradimir V. see Agarwal, Ravi P., 924:33014 

Mishra, Sadhana Integrals involving Hermite polynomials, generalized hypergeometric 
series and Fox’s H-function, and Fourier-Hermite series for products of generalized 
hypergeometric functions. 92j:33021 

Moshinskii, A. I. Some integral expansions of an arbitrary function in Legendre function. 
(Russian) 92f:33014 

Mukha, V.S. Multidi ional 
92b:33023 

Mukherjee, Sanchita see Agrawal, B. D., 92e:33005 

Nevai, Paul see Criscuolo, Giuliana; et al., 92h:33018 

Nikiforov, A. F. (with Suslov, S. K.; Uvarov, V. B.) * Classical orthogonal polynomials of a 
discrete variable. 92m:33019 

Nijastad, Olav see Hendriksen, Erik, 92g:33015 

Noskov, Yu. V. (with Pospelov, V. V.) A class of orthogonal polynomials. (Russian) 
924:33018 

Notaris, Sotirios E. Some new formulae for the Stieltjes polynomials relative to classical 
weight functions. 924:33019 

Pandey, Ram Nakshatra (with Tripathi, U. K.; Pandey, Sharad Kumar) Integral representa- 
tion of the polynomials Mp,¢-(x, y). (Hindi. English summary) 92a:33007 

— see also Singh, Ramji B., 92c:33017 

Pandey, Sharad Kumar see Pandey, Ram Nakshatra; et al., 92a:33007 

Poonam (with Sethi, P. L.) Dual series equations involving Laguerre polynomials with 
matrix argument. 92m:33020 

Pospelov, V. V. see Noskov, Yu. V., 92d:33018 

Radoux, Christian Déterminant de Hankel construit sur les polyndmes de Hermite. [A 
Hankel determinant constructed on Hermite polynomials] 92c:33014 

Radulescu, Vicentiu D. A study of some special functions with Lie theory. 92i:33008 

Rai, V.S. (with Singh, Surya Narain) Some polynomials associated with a generalized 
polynomial set. 92d:33020 

Rodriguez-Blanco, Guillermo see Charris Castaitieda, Jairo A., 92j:33017 

Ronveaux, A. Some 4th order differential equations related to classical orthogonal 
polynomials. 92¢:33015 

— (with Belmehdi, Said) About polynomials related to multiphotonic bremsstrahlung 
effects. 92g:33020 

— see also Zarzo, A.; et al., 92b:33028 

van Rossum, Herman see Hendriksen, Erik, 92f:33013 

Schneider, Albert! see Langer, Helmut, 92m:33018 

Sethi, P. L. see Poonam, 92m:33020 

Sharma, R. (with Chongdar, A. K.) An extension of bilateral generating functions of 
modified Laguerre polynomials. 92¢:33016 

Shawyer, Bruce see Gawronski, Wolfgang, 92j:33019 

Shrivastava, B. M. L. see Singh, M. B., 92d:33021 

Shukla, S.C. see Dwivedi, A. P., 92c:33010 

Singh, M. B. (with Shrivastava, B. M. L.) Application of Jacobi polynomials to nonlinear 
differential equation associated with the product of generalized hypergeometric function 
and H-function. 924:33021 

Singh, O. V. (with Bhatt, R. C.) Bilateral generating functions for Jacobi polynomials. 
92:33015 

Singh, Ramji B. (with Pandey, Ram Nakshatra) Generalized polynomial set {z7(x, y)} and 
its representation in hypergeometric forms. (Hindi. English summary) 92c:33017 

Singh, Ramji P. see Singh, Shambhoo Nath, 92m:33021 

Singh, S. N. see Bala, R. N., 92e:33006 

Singh, Shambhoo Nath (with Singh, Ramji P.) On a new generalized polynomial set 
{Us(x,y)}. 92m:33021 

Singh, Surya Narain (with Bala, R. N.) Ona generalized Hermite distribution. 92h:33020 

— see also Rai, V. S., 92d:33020 

Skorokhod, A. V. (with Stepakhno, V.I.) A generalization of Hermite polynomials. 
(Russian. Ukrainian summary) 92¢:33009 








455 1992 


Srivastava, Hari M. A unified presentation of certain bilateral generating functions for a 
class of polynomials. 92j:33022 

— Some Lauricella multiple hypergeometric series associated with the product of several 
Bessel functions. 92j:33023 

— Some bilinear generating functions for the Laguerre polynomials. 92b:33024 

— see also Hubbell, John H., 92b:33020 and Chatterjea, S. K., 92e:33008 

Stanéek, Vaclav On the polynomials orthogonal in the interval (—oo, +00) with the weight 
function exp(—x*). (Slovak summary) 92d:33022 

Stepakhno, V.I. see Skorokhod, A. V., 92e:33009 

Subramanian, P. R. Springs of the Hermite polynomials. 92b:33025 

— A new starting point for the Hermite polynomials. 92g:33021 

Suslov, S. K. see Atakishiev, N. M., 92a:33004; Nikiforov, A. F.; et al., 92m:33019 and 
Atakishiev, N. M. 

Thakare, N. K. (with Madhekar, H.C.) Results involving biorthogonal polynomials 
suggested by the Hermite polynomials. 92b:33026 

Thangavelu, S. Summability of Laguerre expansions. (Russian summary) 92h:33021 

Torrano, Emilio (with Vinuesa Tejedor, Jaime) Laurent orthogonal polynomials: the 
Hankel-Stieltjes case. (Spanish. English summary) 92b:33027 

Tripathi, U. K. see Pandey, Ram Nakshatra; et al., 92a:33007 

Uvarov, V. B. see Nikiforov, A. F.; et al., 92m:33019 

Valent, G. see Ismail, Mourad E! Houssieny; et al., 92b:33021 

Van Assche, Walter Orthogonal polynomials, associated polynomials and functions of the 
second kind. 92j:33024 

Vinuesa Tejedor, Jaime see Torrano, Emilio, 92b:33027 and Domingo, Francisco, 
(92g:00024) 

Viskov, O. V. Some remarks on Hermite polynomials. (Russian) 92i:33009 

Wilson, James A. Orthogonal functions from Gram determinants. 92c:33018 

Wimp, Jet Pollaczek polynomials and Padé approximants: some closed-form expressions. 
92£:33016 

— see also Ismail, Mourad El Houssieny; et al., 92b:33021 

Zarzo, A. (with Dehesa, J. S.; Ronveaux, A.) Newton sum rules of zeros of semiclassical 
orthogonal polynomials. 92b:33028 


Items with secondary classifications in 33C45 

Adomian, George A. see Rach, R. C.; et al., 921:34034 

Agrawal, B. D. (with Dave, G. N.) Ona few properties of B4{(xm),y}. 9233019 

Al-Bassam, M. A. On applications of fractional calculus to differential equations of special 
functions. 92m:26008 

Alfaro, Manuel (with Pérez, Mario) Modifications of orthogonal polynomials: relations 
between the roots. (Spanish) (see 92g:00024) 

Al-Salam, W. A. Characterization theorems for orthogonal polynomials. 92g:42011 

Arteca, Gustavo A. Algebraic recurrences for some integrals involving orthogonal functions 
in asymmetric intervals. 92g:81057 

Astrov, Igor’ The choice of Laguerre constant in the approximation of an impulse transfer 
function by difference Laguerre polynomials. (Russian. English and Estonian summaries) 
92d:65038 

Avanissian, Vazgain Quelques applications des fonctionelles analytiques. [Some applica- 
tions of analytic functionals] 924:46105 

— (with Supper, Raphaéle) Forctionnelles analytiques et sommes de séries de puissances a 
coefficients produits de polynémes orthogonaux. (English summary) [Analytic functionals 
and sums of power series whose coefficients are products of orthogonal polynomials] 
92¢:32002 

Baghdasarian, A. see Rach, R. C.; et al., 92i:34034 

Bannai, Eiichi Orthogonal polynomials in coding theory and algebraic combinatorics. 
92c:05163 

Baringhaus, Ludwig Testing for spherical symmetry of a multivariate distribution. 
92i:62111 

Belmehdi, Said see Ronveaux, A.; et al., 92m:42028 

Beohar, Archana see Beohar, Neha; et al., 92d:41045 

Beohar, Neha (with Sohle, Varsha; Beohar, Archana) Approximation of functions by (C, 1) 
mean of Jacobi series. (Hindi. English summary) 92d:41045 

van den Berg, M. Heat equation on a hemisphere. 92f:58173 

Bergeron, Francois Combinatoire des polynémes orthogonaux classiques: une approche 
unifiée. [Combinatorics of classical orthogonal polynomials: a unified approach] 
92e:05125 

Bhatt, R. C. see Singh, O. V., 92¢:33020 

Boersma, J. (with Jansen, J. K.M.) * Electromagnetic field singularities at the tip of an 
elliptic cone. 92g:78015 

Carroll, Joseph E. (with Yanosko, Ken) The determination of a class of primitive integral 
triangles. 92a:11039 

Chihara, T.S. The one-quarter class of orthogonal polynomials. 92f:42027 

Chu, Wen Chang see Xu, Li Zhi, 92g:41038 

Chukhrukidze, N. K. On a version of the construction of approximate formulas for 
associated spherical Legendre functions. (Russian) 

Dave, G. N. see Agrawal, B. D., 92f:33019 

Dhillon, S.S. A note on certain trilinear generating relations involving a class of polyno- 
mial. 92h:33034 

Elbert, Arpad (with Laforgia, Andrea) Asymptotic formulas for ultraspherical polynomials 
P4(x) and their zeros for large values of A. 92e:33011 

Everitt, W. Norrie (with Littlejohn, L. L.; Williams, Stanley Carl) The left-definite Legendre 
type boundary problem. 92h:34061 

Frahm, Holger (with Thacker, H. B.) Corner transfer matrix eigenstates for the six-vertex 
model. 92m:82038 

Germano, B. Non-Hermitian orthogonality on the unit circle and symmetric polynomials. 
(Italian. English summary) 92m:42026 

Gilbert, George T. Zeros of symmetric, quasi-definite, orthogonal polynomials. 92j:42025 

Guadalupe Garcia, Rafael see Torrano, Emilio, (92a:42002) 

Guadalupe Hernandez, José Javier (with Pérez, Mario; Ruiz Blasco, Francisco José; Varona, 
Juan Luis) Two notes on convergence and divergence a.e. of Fourier series with respect to 
some orthogonal systems. 92m:42032 


33C Hypergeometric functions 


33C45 


Gupta, Rajendra Prasad (with Varma, Sushama K.) On degree of approximations by matrix 
operators of Jacobi series. 92i:41024 

— (with Varma, Sushama K.) On degree of approximations by matrix operators of Jacobi 
series. 

Gustafson, Robert A. Some q-beta and Mellin-Barnes integrals with many parameters 
associated to the classical groups. 92m:33006 

Habsieger, Laurent Linear recurrent sequences and irrationality measures. 92e:11074 

Handelman, David Stable positivity of polynomials obtained from three-term difference 
equations. 92d:42011 

Hendriksen, Erik A weight function for the associated Jacobi-Laurent polynomials. 
92d:33023 

Holvorcem, Paulo R. Asymptotic summation of Hermite series. 92k:65009 

Iserles, A. (with Sanz-Serna, J. M.; Koch, Per Erik; Norsett, S. P.) Orthogonality and 
approximation in a Sobolev space. 92a:42042 

— (with Norsett, S. P.; Saff, E. B.) On transformations and zeros of polynomials. 92f:42028 

Ismail, Mourad El Houssieny (with Zhang, Ruiming) The Hellmann-Feynman theorem and 
the variation of zeros of special functions. 92g:33001 

Jain, Suresh see Pathak, Ashutosh, 92m:41025 

Jansen, J. K. M. see Boersma, J., 92g:78015 

Jones, William B. (with Njastad, Olav; Saff, E. B.) Szegé polynomials associated with 
Wiener-Levinson filters. 92e:94001 

Kagramanov, E. D. (with Mir-Kasimov, R. M.; Nagiev, Sh. M.) The covariant linear 
oscillator and generalized realization of the dynamical SU(1, 1) symmetry algebra. 
92b:81024 

Kale, P. P. see Khurana, A. P., 92g:33022 

Kalnei, S.G. On an analogue of S. M. Nikol’skii’s theorem for Jacobi series. (Russian. 
Ukrainian summary) 92h:42038 

Kalnins, E.G. (with Miller, Willard, Jr.; Tratnik, M. V.) Families of orthogonal and 
biorthogonal polynomials on the N-sphere. 92b:33030 

— (with Miller, Willard, Jr.) Hypergeometric expansions of Heun polynomials. 92h:33035a 

— (with Miller, Willard, Jr.) Addendum: “Hypergeometric expansions of Heun polynomi- 
als”. 92h:33035b 

Kant, Shashi (with Koul, C. L.) Integrals involving Fox’s H-function. 92e:33013 

Kerov, S. V. Hall-Littlewood functions and orthogonal polynomials. (Russian) 92f:05098 

Khare, Satya Prakash (with Tripathi, Virendra Kumar) Summability of Laguerre series at 
the point x = 0. 92b:40005 

— see also Singh, Amar Nath, 92c:40007 and 92f:40006 

Khurana, A. P. (with Kale, P. P.) Some contiguous functions relations for the Kampé de 
Fériet’s function F}'?. 92g:33022 

Kim, K.S. see Shield, T. W., 92m:73113 

Koch, Per Erik see Iserles, A.; et al., 92a:42042 

Koul, C. L. see Kant, Shashi, 92e:33013 

Kvitsinskii, A. A. (with Merkur’ev, S. P.) Three-body plane wave at zero angular momen- 
tum and some addition theorems. 92a:81215 

Laforgia, Andrea see Elbert, Arpad, 92e:33011 

Lebedev, N. N. (with Skal/skaya, I. P.) Expansion of an arbitrary function in series in 
squares of Hermite polynomials. (Russian) 92a:42036 

Lesky, Peter, Jr. Reelle orthogonale Polynomlésungen von komplexen Differenzengleichun- 
gen zweiter Ordnung. [Real orthogonal polynomial solutions of complex difference equa- 
tions of second order] 92d:39007 

Linial, Nathan (with Nisan, Noam) Approximate inclusion-exclusion. 924:05167 

Littlejohn, L. L. Symmetry factors for differential equations with applications to orthogonal 
polynomials. 924:34059 

— see also Everitt, W. Norrie; et al., 92h:34061 

Mandal, B. N. (with Roy, Pallabi Guha) A Mehler-Fock type integral transform. 92f:44010 

Marcellan, Francisco (with Ronveaux, A.) On a class of polynomials orthogonal with 
respect to a discrete Sobolev inner product. 92f:42029 

— (with Maroni, Pascal) Orthogonal polynomials on the unit circle and their derivatives. 
92j:42026 

— see also Ronveaux, A.; et al., 92m:42028 

Maroni, Pascal see Marcellan, Francisco, 92j:42026 

Masson, David R. (with Repka, J.) Spectral theory of Jacobi matrices in /?(Z) and the 
su(1, 1) Lie algebra. 92h:33037 

McCabe, John H. see Sri Ranga, A., 92b:30003 

Mercer, A. McD. A new proof of a theorem about generalized orthogonal polynomials. 
92g:42013 

Merkur'ev, S. P. see Kvitsinskii, A. A., 92a:81215 

Mhaskar, H. N. (with Xu, Yuan) Mean convergence of expansions in Freud-type 
orthogonal polynomials. 92a:42037 

Miller, Willard, Jr. see Kalnins, E. G.; et al., 92b:33030; 92h:33035a and 92h:33035b 

Milovanovi¢, Gradimir V. Complex orthogonality on the semicircle with respect to 
Gegenbauer weight: theory and applications. 92e:65027 

— (with Rajkovié, Predrag M.) Geronimus concept of orthogonality for polynomials 
orthogonal on a circular arc. (Italian summary) 92g:42014 

Mir-Kasimov, R. M. see Kagramanov, E. D.; et al., 92b:81024 

Mishra, Sadhana Some integrals and expansion formulae involving associated Legendre 
function, generalized hypergeometric series and Fox’s H-function. 92c:33027 

— Integrals involving Legendre function, generalized hypergeometric series and Fox’s 
H-function, and Fourier-Legendre series for products of generalized hypergeometric 
functions. 92b:33037 

Nagiev, Sh. M. see Kagramanov, E. D.; et al., 92b:81024 

Nisan, Noam see Linial, Nathan, 92d:05167 

Niukkanen, A. W. A new approach to the theory of hypergeometric series and special 
functions of mathematical physics. (Russian) 92k:33002 

Nijastad, Olav see Jones, William B.; et al., 92e:94001 

Nersett, S. P. see Iserles, A.; et al., 92a:42042 and 92f:42028 

Notaris, Sotirios E. On Gauss-Kronrod quadrature formulae of Chebyshev type. 92h:65041 

Osilenker, Boris P. The representation of the trilinear kernel in general orthogonal 
polynomials and some applications. 92k:42035 

Pathak, Ashutosh (with Jain, Suresh) On the degree of approximation of a function by 





33C45 


Norlund means of its Fourier-Jacobi series. 92m:41025 

Patidar, Satish Chandra see Sharma, Sushil, 92g:42017 

Pearson, J. Michael Best constants in Sobolev inequalities for ultraspherical polynomials. 
92k:26051 

Peherstorfer, Franz Orthogonal and Chebyshev polynomials on two intervals. 92i:41036 

— On Bernstein-Szegé orthogonal polynomials on several intervals. II. Orthogonal 
polynomials with periodic recurrence coefficients. 92a:42031 

Pelczewski, Jerzy Application of Legendre polynomials method for some optimal control 
problems. 92a:49055 

Pérez, Mario see Guadalupe Hernandez, José Javier; et al., 92m:42032 and Alfaro, Manuel, 
(92g:00024) 

Peschel, Ingo see Truong, T. T., 92a:82030 

Prasad, Subash see Singh, Ramji B., 92b:11011 

Rach, R. C. (with Baghdasarian, A.; Adomian, George A.) Differential equations with 
singular coefficients. 92i:34034 

Rahman, Mizan Biorthogonality of a system of rational functions with respect to a positive 
measure on [—1, 1]. 92h:33016 

Rajkovi¢é, Predrag M. see Milovanovi¢, Gradimir V., 92g:42014 

Repka, J. see Masson, David R., 92h:33037 

Rivlin, Theodore J. * Chebyshev polynomials. 92a:41016 

Ronveaux, A. (with Belmehdi, Said; Marcellan, Francisco) Orthogonality with respect to the 
sum of two semiclassical regular linear forms. 92m:42028 

— see also Marcellan, Francisco, 92f:42029 

Roy, Pallabi Guha see Mandal, B. N., 92f:44010 

Ruiz Blasco, Francisco José see Guadalupe Hernandez, José Javier; et al., 92m:42032 

Saff, E. B. see Jones, William B.; et al., 92¢:94001 and Iserles, A.; et al., 92f:42028 

Sanz-Serna, J. M. see Iserles, A.; et al., 92a:42042 

Sharma, R. Some generating functions of modified Laguerre polynomials—-a Lie-algebraic 
approach. 924:33039 

Sharma, Sushil (with Patidar, Satish Chandra) On g-|c,a|p summability factors of Jacobi 
series. 92g:42017 

Shestopalov, V. P. see Svishchev, Yu. V.; et al., 92g:45009 

Shield, T. W. (with Kim, K.S.) Beam theory models for thin film segments cohesively 
bonded to an elastic half space. 92m:73113 

Singh, Amar Nath (with Khare, Satya Prakash) Borel summability of Jacobi series. 
92£:40006 

— (N, p*) summability of Jacobi series. (Hindi. English summary) 

— (with Khare, Satya Prakash) (N,p,q) summability of the Laguerre expansion. 92c:40007 

Singh, O. V. (with Bhatt, R. C.) Summation formulae concerning multiple Gaussian 
hypergeometric series. 92c:33020 

Singh, Ramji B. (with Prasad, Subash) An extension of the Bernoulli and Euler polynomi- 
als. 92b:11011 

Skal/skaya, I. P. see Lebedev, N. N., 92a:42036 

Skorokhod, A. V. (with Stepakhno, V.I.) A central limit theorem for Hermite polynomials 
in independent Gaussian variables. (Russian. Ukrainian summary) 92¢:60049 

Smith, Dale T. On the spectral analysis of selfadjoint operators generated by second order 
difference equations. 92j:47058 

Sohle, Varsha see Beohar, Neha; et al., 92d:41045 

Sri Ranga, A. (with McCabe, John H.) On the extensions of some classical distributions. 
92b:30003 

Srivastava, Hari M. Ordinary and basic (or g-) hypergeometric functions and associated 
orthogonal polynomials. 92f:33011 

Stepakhno, V.1I. see Skorokhod, A. V., 92e:60049 

Strain, John A fast Laplace transform based on Laguerre functions. 92¢:44001 

Supper, Raphaéle see Avanissian, Vazgain, 92c:32002 

Suslov, S. K. On the theory of 9 j-symbols. (Russian. English summary) 92i:81089 

Svishchev, Yu. V. (with Tuchkin, Yu. A.; Shestopalov, V. P.) A new class of dual summa- 
tory equations containing a Jacobi polynomial. (Russian) 92g:45009 

Thacker, H. B. see Frahm, Holger, 92m:82038 

Thangavelu, S. On almost everywhere and mean convergence of Hermite and Laguerre 
expansions. 92¢:42030 

— Hermite expansions on R" for radial functions. 92h:42039 

Torrano, Emilio (with Guadalupe Garcia, Rafael) Strictly y-typical sequences of orthogonal 
polynomials. (Spanish) (see 92a:42002) 

Tratnik, M. V. see Kalnins, E. G.; et al., 92b:33030 

Tripathi, Virendra Kumar see Khare, Satya Prakash, 92b:40005 

Truong, T.T. (with Peschel, Ingo) The corner transfer matrix of some free-fermion systems 
and Meixner’s polynomials. 92a:82030 

Tuchkin, Yu. A. see Svishchev, Yu. V.; et al., 92g:45009 

Van Assche, Walter Four lectures on orthogonal polynomials. 92g:42016 

Varma, Sushama K. see Gupta, Rajendra Prasad, 92i:41024 

Varona, Juan Luis see Guadalupe Hernandez, José Javier; et al., 92m:42032 

Viano, G. A. Solution of the Hausdorff moment problem by the use of Pollaczek polynomi- 
als. 92d:44017 

Vishnoi, H.R. Some finite double integral formulas involving Fox’s H-function. 92e:33014 

Watanabe, Shigeru Hilbert spaces of analytic functions and the Gegenbauer polynomials. 
92i:46031 

Williams, Brian Wesley A second class of solvable potentials related to the Jacobi 
polynomials. 92¢:81028 

Williams, Stanley Carl see Everitt, W. Norrie; et al., 92h:34061 

Xu, Li Zhi (with Chu, Wen Chang) A kind of asymptotic expansion using partitions. 
92g:41038 

Xu, Yuan see Mhaskar, H. N., 92a:42037 

Yanosko, Ken see Carroll, Joseph E., 92a:11039 

Zhang, Ruiming see Ismail, Mourad E] Houssieny, 92g:33001 


33C50 Orthogonal polynomials and functions in several variables 
Bhatt, R.C. see Singh, O. V., 92c:33020 


SPECIAL FUNCTIONS 


1992 456 


Hendriksen, Erik A weight function for the associated Jacobi-Laurent polynomials. 
92d:33023 

Ismail, Mourad El Houssieny (with Rahman, Mizan) The associated Askey-Wilson 
polynomials. 92c:33019 

Kale, P. P. see Khurana, A. P., 92g:33022 

Khurana, A. P. (with Kale, P. P.) Some contiguous functions relations for the Kampé de 
Fériet’s function F;'7. 92g:33022 

Rahman, Mizan see Ismail, Mourad El Houssieny, 92c:33019 

Sahgal, Sadhana see Singh Chandel, R. C., 92f:33017 

Singh, O. V. (with Bhatt, R. C.) Summation formulae concerning multiple Gaussian 
hypergeometric series. 92¢:33020 

Singh Chandel, R.C. (with Sahgal, Sadhana) A multivariable analogue of Panda’s 
polynomials. 92f:33017 

— (with Tiwari, Abha) Multivariable analogue of Gould and Hopper’s polynomials defined 
by Rodrigues’ formula. 92h:33022 

Tiwari, Abha see Singh Chandel, R. C., 92h:33022 

Tratnik, M. V. Some multivariable orthogonal polynomials of the Askey tableau— 
continuous families. 92h:33023 

Wilson, James A. Asymptotics for the 4F; polynomials. 92d:33024 


Items with secondary classifications in 33C50 

Agrawal, B. D. (with Dave, G.N.) A few recurrence relations and finite difference formulae 
for a generalized multivariate polynomial system. 92f:33009 

Bala, R. N. (with Singh, S. N.) On the modified Laguerre polynomials. 92e:33006 

Chiccoli, C. see Dattoli, G.; et al., 92c:33002 

Dattoli, G. (with Torre, Amalia; Lorenzutta, S.; Maino, Giuseppe; Chiccoli, C.) Theory of 
generalized Bessel functions. II. 92¢:33002 

Dave, G. N. see Agrawal, B. D., 92f:33009 

Debiard, Amédée (with Gaveau, Bernard) Représentation intégrale de certaines séries 
de fonctions sphériques d’un systéme de racines BC. (English summary) [Integral 
representation of certain series of spherical functions of a BC root system] 92d:33037 

Gaveau, Bernard see Debiard, Amédée, 92d:33037 

Lassalle, Michel Polynémes de Jacobi généralisés. (English summary) [Generalized Jacobi 
polynomials] 92g:33019 

Lorenzutta, S. see Dattoli, G.; et al., 92c:33002 

Maino, Giuseppe see Dattoli, G.; et al., 92c:33002 

Singh, S. N. see Bala, R. N., 92e:33006 

Smith, Dale T. Exponential decay of resolvents and discrete eigenfunctions of banded 
infinite matrices. 92j:47056 

Torre, Amalia see Dattoli, G.; et al., 92c:33002 

Zayed, Ahmed I. On Kramer’s sampling theorem associated with general Sturm-Liouville 
problems and Lagrange interpolation. 92b:34038 


33C55 Spherical functions, spherical harmonics, ultraspherical 


polynomials 

Doha, E.H. The coefficients of differentiated expansions and derivatives of ultraspherical 
polynomials. 92¢:33010 

Elbert, Arpad (with Laforgia, Andrea) Asymptotic formulas for ultraspherical polynomials 
P4(x) and their zeros for large values of 2. 92e:33011 

Fryant, Allan Inductively generating the spherical harmonics. 92c:33021 

Gianfelice, E. (with Verolino, L.; Palumbo, L.; Vaccaro, V.G.) New methods for treatment 
of spheroidal functions in the solution of scalar wave equation. 92b:33029 

Kalnins, E.G. (with Miller, Willard, Jr.; Tratnik, M. V.) Families of orthogonal and 
biorthogonal polynomials on the N-sphere. 92b:33030 

Komarov, L. I. (with Romanova, T. S.; Solodukhin, A.M.) Generalized spherical functions 
in vector parametrization and their quasiclassical asymptotics. (Russian. English 
summary) 92b:33031 

Laforgia, Andrea see Elbert, Arpad, 92e:33011 

Maximon, Leonard C. On the evaluation of the integral over the product of two spherical 
Bessel functions. 92f:33018 

Miller, Willard, Jr. see Kalnins, E. G.; et al., 92b:33030 

Palumbo, L. see Gianfelice, E.; et al., 92b:33029 

Romanova, T.S. see Komarov, L. L,; et al., 92b:33031 

Solodukhin, A. M. see Komarov, L. 1; et al., 92b:33031 

Tratnik, M. V. see Kalnins, E. G.; et al., 92b:33030 

Tret'yakova, N. N. Expansion of a field of quantities in an n-dimensional Euclidean space 
in spherical functions of a group of motions of this space. (Russian. English summary) 
92b:33032 

Vaccaro, V.G. see Gianfelice, E.; et al., 92b:33029 

Verolino, L. see Gianfelice, E.; et al., 92b:33029 


Items with secondary classifications in 33C55 

Al-Sardary, Salar Yaseen Taha see Sharma, Shri Deo, 92d:33028 

Kajima, Yasuhiro Spherical functions on some p-adic classical groups. 92g:22025 

Karageorghis, Andreas (with Phillips, Timothy N.) On the coefficients of differentiated 
expansions of ultraspherical polynomials. 92i:65045 

Konig, Hermann On the complex Grothendieck constant in the n-dimensional case. 
92g:46011 

Koranyi, Adam Hua-type integrals, hypergeometric functions and symmetric polynomials. 
92h:33036 

Levinger, J.S. see Zickendraht, W., 92m:81038 

McClung, H. B. Asymmetric vibrations of an elastic sphere. 92d:73011 

— The whiplash problem: an application of vector spherical harmonics. 92d:73012 

Mirovitskaya, S. D. see Vorontsov, A. A., 92m:35196 

Moshinskii, A. I. Some integral expansions of an arbitrary function in Legendre function. 
(Russian) 92f:33014 

Pearson, J. Michael Best constants in Sobolev inequalities for ultraspherical polynomials. 
92k:26051 

Phillips, Timothy N. see Karageorghis, Andreas, 92i:65045 





457 1992 


Shapiro, Victor L. Special functions and singular quasilinear partial differential equations. 
924:35093 

Sharma, Shri Deo (with Al-Sardary, Salar Yaseen Taha) On multiple integral relation and 
its application to spheroidal functions. 924:33028 

Vorontsov, A. A. (with Mirovitskaya, S. D.) * Cnenuanbabie byHKIMH 3afa4 TeopHH 
paccesnus. (Russian) [Special functions in problems of scattering theory] 92m:35196 

Zickendraht, W. (with Levinger, J. S.) Correlated hyperspherical harmonics. 92m:81038 


33C60 Hypergeometric integrals and functions defined by them 
(E, G and # functions) 


Agrawal, R. D. see Singh Chandel, R. C.; et al., 92c:33025 

Al-Hawaj, A. Y. Double Fourier series for the H-function of two variables. 

— A new class of two-dimensional expansion for Fox’s H-function involving Hermite 
polynomials and Bessel functions. 92m:33022 

— see also Bajpai, Shri Dhar, 92b:33033; 92c:33022 and 92h:33026 

Al-Sardary, Salar Yaseen Taha see Sharma, Shri Deo, 92d:33028 

Bajpai, Shri Dhar (with Al-Hawaj, A. Y.) Meijer’s G-function and ring-shaped heat 
conductor. 92b:33033 

— Some results involving Meijer’s G-function and a new orthogonal combination of 
confluent hypergeometric functions. 92g:33023 

— Three two-dimensional expansions of Meijer’s G-function involving Legendre functions. 
92h:33024 

— (with Al-Hawaj, A. Y.) Meijer’s G-function and heat conduction in a rod with one end at 
zero degree and the other end insulated. 92¢:33022 

— Some results involving Bessel function and Fox’s H-function of two variables. 92b:33034 

— Double and multiple half-range Fourier series of Meijer’s G-function. 92h:33025 

— Fourier expansions for Fox’s H-function of two variables and two-dimensional parabolic 
equations. 92m:33023 

— (with Al-Hawaj, A. Y.) Some double integrals and Fourier series for Fox’s H-function of 
two variables. 92h:33026 

— A new two-dimensional series expansion of Fox’s H-function involving Bessel functions 
and exponential functions. (Serbo-Croatian summary) 924:33025 

— A new two-dimensional expansion of Fox’s H-function involving Bessel functions and 
exponential functions. (Russian and Polish summaries) 

— A typical two-dimensional exponential-Bessel expansion of Fox’s H-function. 

Bhatt, K.N. Integrals involving certain products of biorthogonal polynomials and the H- 
function. (Hindi. English summary) 92a:33008 

Chaurasia, V. B. L. Linear flow of heat in an anisotropic finite solid moving in a conducting 
medium and the multivariable H-function. 92¢:33012 

— (with Tyagi, Sanjeev) Integrals involving generalized Lauricella’s function and the H- 
function of several complex variables. 924:33026 

— Application of the multivariable H-function in heat conduction in a rod with one end at 
zero degree and the other end insulated. 92m:33024 

— (with Lal, Girdhari) Some finite integrals involving the product of the multivariable H- 
function and a general class of polynomials. 92m:33025 

Gaur, Neelima Fractional differential operators and Fox’s H-function. 92b:33035 

Gelfand, I. M. (with Graev, M. I.; Retakh, V. S.) Hypergeometric functions on strata of 
small codimensions in G;,,. (Russian. English summary) 92h:33027 

Graev, M.1. see Gel'fand, I. M.; et al., 92h:33027 

Gupta, Kailash Chandra (with Soni, R.C.) On unified integrals. 92c:33023 

Gupta, O. P. see Saxena, Ram Kishore, 92h:33030 

Gupta, Rajni Transformation formulas for the multivariable H-function. II. 92¢:33024 

Jaimini, B. B. (with Koul, C. L.) On integrals involving the multivariable H-function. 
92m:33026 

Joshi, Narottam Double integrals involving the H-function. 92h:33028 

Kant, Shashi (with Koul, C. L.) On infinite [finite] summation formulae. 92j:33025 

— (with Koul, C. L.) Integrals involving Fox’s H-function. 92¢:33013 

Koul, C. L. see Kant, Shashi, 92e:33013; 92j:33025 and Jaimini, B. B., 92m:33026 

Kumar, Hemant? see Singh Chandel, R. C.; et al., 92c:33025 

Lal, Girdhari see Chaurasia, V. B. L., 92m:33025 

Mathur, Rachna (with Rathie, Arjun K.; Sharma, K. D.) A new expansion formula for the 
H-function involving Jacobi polynomials. 92b:33036 

Mishra, Sadhana Two-dimensional expansion formulae for Fox’s H-function involving 
Laguerre polynomials and Bessel functions. (Arabic summary) 92i:33010 

— Integrals involving Legendre function, generalized hypergeometric series and Fox’s 
H-function, and Fourier-Legendre series for products of generalized hypergeometric 
functions. 92b:33037 

— Integrals involving Jacobi polynomials, generalized hypergeometric series and Fox’s H- 
function, and Fourier-Jacobi series for products of generalized hypergeometric functions. 
92h:33029 

Pandey, Ram Nakshatra see Tiwari, N. K.; et al., 92d:33029 

Pandey, Sharad Kumar see Tiwari, N. K.; et al., 92d:33029 

Ragab, Shahwar F. Evaluation of the E-function when two of the upper parameters are 
equal or differ by an integer. 92b:33038 

Rathie, Arjun K. see Mathur, Rachna; et al., 92b:33036 

Retakh, V.S. see Gelfand, I. M.; et al., 92h:33027 

Ronghe, Ashok Kumar Some unified summation formuale for Fox’s H-function. 

Saxena, Ram Kishore (with Gupta, O. P.) Integrals associated with multivariable H- 
function and a general class of polynomials. 92h:33030 

Sharma, K. D. see Mathur, Rachna; et al., 92b:33036 

Sharma, Rakesh K. An integral involving H-function. (Hindi. English summary) 924:33027 

Sharma, Shri Deo (with Al-Sardary, Salar Yaseen Taha) On multiple integral relation and 
its application to spheroidal functions. 92d:33028 

Chandel, R. C. (with Agrawal, R. D.; Kumar, Hemant”) The multivariable H- 

function of Srivastava and Panda, and its applications in a problem on electrostatic 
potential in spherical regions. 92¢:33025 

Soni, R.C. see Gupta, Kailash Chandra, 92c:33023 

Srivastava, Hari M. Some further reduction formulas for certain classes of generalized 
multiple hypergeometric series arising in physical, astrophysical, and quantum chemical 


33C Hypergeometric functions 


33C70 


applications. 92i:33011 

Tiwari, N. K. (with Pandey, Sharad Kumar; Pandey, Ram Nakshatra) Integrals involving 
the polynomial set {Z> ,(x,y)}. (Hindi. English summary) 924:33029 

Tyagi, Sanjeev see Chaurasia, V. B. L., 92d:33026 

Vishnoi, H. R. Some finite double integral formulas involving Fox’s H-function. 92e:33014 


Items with secondary classifications in 33C60 

Al-Hawaj, A. Y. see Bajpai, Shri Dhar, 924:33005 

Audich, Sunil see Goyal, S. P., 92g:33024 

Bajpai, Shri Dhar Some formulae involving Bessel polynomial, confluent hypergeometric 
function and Meijer’s G-function. 

— (with Al-Hawaj, A. Y.) Application of Bessel polynomial and Meijer’s G-function in the 
study of time-d in synthesis problem. 924:33005 

— (with Mishra, Sadhana) Meijer’s G-function and Fox’s H-function and heat conduction 
in a rod under typical boundary conditions. 92m:80004 

Chaurasia, V. B. L. On simultaneous operational calculus involving a product of Fox’s H- 
function and the multivariable H-function. 92d:44001 

Cherepnev, M. A. On the algebraic independence of values of hypergeometric E-functions 
that satisfy linear inhomogeneous differential equations. (Russian) 92j:11078 

Garg, Mridula A study of fractional integral operators. (Hindi. English summary) 
92g:44003 

Goyal, S. P. (with Vishnoi, H. R.) On the double inverse Laplace transform of the product 
of a general class of polynomials and the multivariable H-function. 92g:44008 

— (with Audich, Sunil) Double integral relations and their applications. 92g:33024 

Gupta, Kailash Chandra (with Soni, R.C.) On the inverse Laplace transform. 92d:44002 

Jain, Nem C. Fourier series of medium rank for the Fox H-functions. (Spanish) 

Kalla, Shyam L. (with Kiryakova, Virginia S.) An H-function generalized fractional 
calculus based upon compositions of Erdélyi-Kober operators in Ly. 92i:26012 

Kiryakova, Virginia S. (with Spirova, Svetia) Representations of the solutions of hyper- 
Bessel differential equations via Meijer’s G-function. (see 92d:30002) 

— see also Kalla, Shyam L., 92i:26012 

Mishra, Sadhana Some results involving Bessel functions, generalized hypergeometric series 
and Fox’s H-function. 92d:33004 

— Integrals involving exponential function, generalized hypergeometric series and Fox’s 
H-function, and Fourier series for products of generalized hypergeometric functions. 
92b:33001 

— Some formulae involving trigonometric cosines, Bessel functions, generalized hypergeo- 
metric series and Fox’s H-function. (Hindi. English summary) 92b:33044 

— Integrals involving Hermite polynomials, generalized hypergeometric series and Fox’s 
H-function, and Fourier-Hermite series for products of generalized hypergeometric 
functions. 92j:33021 

— see also Bajpai, Shri Dhar, 92m:80004 

Singh, Surya Narain Some theorems on the generalized multiple transform. II. (Hindi. 
English summary) 92f:44011 

Soni, R. C. see Gupta, Kailash Chandra, 92d:44002 

Spirova, Svetla see Kiryakova, Virginia S., (92d:30002) 

Vishnoi, H. R. see Goyal, S. P., 92g:44008 





33C65 Appell, Horn and Lauricella functions 


Agrawal, B. D. (with Dave, G. N.) On some nth differential formulae for a generalized 
multivariate polynomial system. 924:33030 

— (with Dave, G. N.) Ona few properties of B4{(xm),y}. 9233019 

— (with Dave, G. N.) A generalized multivariate polynomial system: an introduction. 
92¢:33026 

— (with Dave, G. N.) On a family of generalized polynomial system associated with 
Lauricella functions Fg, Fc and Fp. 924:33031 

Agrawal, B. M. see Gupta, S. C., 92j:33026 

Arya, J. P. see Joshi, C. M., 92h:33031 

Dave, G. N. see Agrawal, B. D., 92c:33026; 92d:33030; 92d:33031 and 92£:33019 

Gupta, S.C. (with Agrawal, B. M.) Double Dirichlet average and fractional derivative. 
92j:33026 

Joshi, C.M. (with Arya, J.P.) Certain inequalities for Appell’s F; and Fy. 92h:33031 

Manocha, H. L. Lie theory of Appell function F,. 924:33032 

Mathai, A. M. Special functions of matrix arguments and statistical distributions. 
92m:33027 

Moothathu, T. S. K. On some bounds for certain special functions. 92f:33020 

Singh, M. B. Application of the Horn’s function of two variables in heat conduction in a 
radiating bar. (Hindi. English summary) 92a:33009 

Items with secondary classifications in 33C65 

Chaurasia, V. B. L. (with Tyagi, Sanjeev) Integrals involving generalized Lauricella’s 
function and the H-function of several complex variables. 92d:33026 

Kohno, Mitsuhiko A global analysis of Fuchsian equations. (see 92m:00038) 

Lebrun, J.-P. M. Functional equation underlying the quantum theory of fields. 92b:81123 

Qureshi, M. I. (with Yasmeen) On reducibility of triple hypergeometric function F). 
92¢:33028 

Tyagi, Sanjeev see Chaurasia, V. B. L., 92d:33026 

Van Assche, Walter Orthogonal polynomials, associated polynomials and functions of the 
second kind. 92j:33024 

Yasmeen see Qureshi, M. I., 92c:33028 


33C70 Other hypergeometric functions and integrals in several 
variables 


Agrawal, R. D. see Singh Chandel, R. C.; et al., 92g:33025 

Al-Bassam, M. A. On fractional operator equations and solutions of a class of third order 
differential equations. (Italian summary) 92b:33039 

Audich, Sunil see Goyal, S. P., 92g:33024 

Bhatt, R.C. see Singh, O. V., 92e:33016 





33C70 


Gelfand, I. M. (with Kapranov, M. M.; Zelevinskii, A. V.) Generalized Euler integrals and 
A-hypergeometric functions. 92e:33015 

Goyal, S. P. (with Audich, Sunil) Double integral relations and their applications. 
92g:33024 

Grebenshchikov, V.I. A special function. (Russian) (see 92a:35004) 

Gross, Kenneth I. (with Richards, Donald St. P.) Hypergeometric functions on complex 
matrix space. 92b:33040 

Hardaha, D. R. A convolution theorem for the integral transform with two variables 
analogue of Jacobi polynomial. 92a:33010 

Kapranov, M. M. see Gel'fand, I. M.; et al., 92e:33015 

Kumar, Hemant? see Singh Chandel, R. C.; et al., 92g:33025 

Mishra, Sadhana Some integrals and expansion formulae involving associated Legendre 
function, generalized hypergeometric series and Fox’s H-function. 92¢:33027 

Nguyén Thanh Hai On the Kampé de Fériet hypergeometric function of two variables. 
(Russian) 924:33033 

Qureshi, M. I. (with Yasmeen) On reducibility of triple hypergeometric function F“). 
92¢:33028 

Raina, R. K. On a reduction formula involving combinatorial coefficients and hyperg 


SPECIAL FUNCTIONS 


1992 458 


Chongdar, A. K. On generating functions of Bessel polynomials by group-theoretic method. 
(Italian summary) 92h:33032 

Churchill, Richard C. see Baider, Alberto, 924:33034 

Das, Sarama Group-theoretic origins of certain generating functions for modified 
hypergeometric polynomials. I. 92d:33036 

Debiard, Amédée (with Gaveau, Bernard) Représentation intégrale de certaines séries 
de fonctions sphériques d’un systéme de racines BC. (English summary) [Integral 
representation of certain series of spherical functions of a BC root system] 92d:33037 

Desarkar, Bandana Some theorems on more general generating functions of Jacobi 
polynomials. 92h:33033 

Devi, Geeta? see Bhargava, M.; et al., 92d:33035 

Dhillon, S.S. A note on certain trilinear generating relations involving a class of polyno- 
mial. 92h:33034 

Dib, Hacen Fonctions de Bessel sur une algébre de Jordan. [Bessel functions on a Jordan 
algebra] 92e:33017 

Exton, Harold A recurrence relation for a quadruple hypergeometric function with SL 
symmetry. 92m:33030 





ric functions. (Italian summary) 92b:33041 

Richards, Donald St. P. see Gross, Kenneth I., 92b:33040 

Sharma, C.K. (with Singh, Indra Jeet) Fractional derivatives of the Lauricella functions 
and the multivariable H-function. 92m:33028 

Singh, Indra Jeet see Sharma, C. K., 92m:33028 

Singh, O. V. (with Bhatt, R. C.) Certain reducible cases of triple hypergeometric functions. 
92e:33016 

Singh Chandel, R.C. (with Agrawal, R. D.; Kumar, Hemant?) A class of polynomials in 
several variables. 92g:33025 

— (with Vishwakarma, P. K.) Fractional integration and integral representations of 
Karlsson’s multiple hypergeometric function and its confluent forms. 

— (with Tiwari, Abha) Generating relations involving hypergeometric functions of four 
variables. 92m:33029 

Srivastava, Hari M. Some operational techniques in the theory of generalized Gaussian and 
Clausenian functions. 92j:33027 

Tiwari, Abha see Singh Chandel, R. C., 92m:33029 

Vishwakarma, P.K. see Singh Chandel, R. C. 

Yasmeen see Qureshi, M. I., 92c:33028 

Zelevinskii, A. V. see Gelfand, 1. M.; et al., 92e:33015 


Items with secondary classifications in 33C70 


Agrawal, B. D. (with Mukherjee, Sanchita) Some finite integral representations involving 
multiple hypergeometric series. (Hindi. English summary) 92e:33005 

Dwivedi, A. P. (with Shukla, S.C.) Quadruple series equations involving the product of “r” 
Jacobi polynomials of different indices. 92c:33010 

Feigin, B. L. (with Schechtman, V. V.; Varchenko, A. N.) On algebraic equations satisfied 
by correlators in Wess-Zumino-Witten models. 924:81121 

Gonzalez de Zamora, Magda (with Kalla, Shyam L.) A study of incomplete cylindrical 
functions. (Spanish. English summary) 92j:33012 

Kalla, Shyam L. see Gonzalez de Zamora, Magda, 92j:33012 

Kapranov, M. M. A characterization of A-discriminantal hypersurfaces in terms of the 
logarithmic Gauss map. 92j:14066 

Koul, C. L. see Sharma, S. C., 92¢:44005 

Mathai, A. M. Special functions of matrix arguments and statistical distributions. 
92m:33027 

Matsumoto, Keiji (with Sasaki, Takeshi; Yoshida, Masaaki) The Aomoto-Gel’fand 
hypergeometric function and period mappings. (Japanese) 92a:33001 

Matsue, Atsushi An application of Aomoto-Gel’fand hypergeometric functions to the SU(n) 
Knizhnik-Zamolodchikov equation. 92g:33026 

Mukherjee, Sanchita see Agrawal, B. D., 92e:33005 

Sahgal, Sadhana see Singh Chandel, R. C., 92£:33017 

Sasaki, Takeshi see Matsumoto, Keiji; et al., 92a:33001 

Schechtman, V. V. (with Varchenko, A. N.) Hypergeometric solutions of Knizhnik- 
Zamolodchikov equations. 92g:33027 

— see also Feigin, B. L.; et al., 92d:81121 

Sharma, S.C. (with Koul, C. L.) Fractional integral operators involving the multivariable 
H-function. 92¢:44005 

Shukla, S.C. see Dwivedi, A. P., 92c:33010 

Singh Chandel, R.C. (with Sahgal, Sadhana) A multivariable analogue of Panda’s 
polynomials. 92f:33017 

Ueno, Kazuo Hypergeometric series formulas through operator calculus. 92b:33004 

Varchenko, A. N. see Feigin, B. L.; et al., 92d:81121 and Schechtman, V. V., 92g:33027 

Yoshida, Masaaki see Matsumoto, Keiji; et al., 92a:33001 


33C75 Elliptic integrals as hypergeometric functions 


Items with secondary classifications in 33C75 


Carlson, B.C. A table of elliptic integrals: two quadratic factors. 92k:65027 
Kholodov, A. N. The umbral calculus and orthogonal polynomials. 92b:33022 


33C80 Connections with groups, algebras, root systems and 
related topics 


Baider, Alberto (with Churchill, Richard C.) On monodromy groups of second-order 
Fuchsian equations. 924:33034 

Bhargava, M. (with Devi, Geeta”; Prasad, Y. N.) Heat conduction and the J-function of 
several complex variables. 92d:33035 

Chakrabarty, S. P. A unified group-theoretic method of obtaining a more general class of 
generating relations from a given class of usual-bilateral or (usual-bilinear) generating 
relations involving some special functions. 


Feinsilver, Philip Special functions and representations of su(2). 92d:33038 

Gaveau, Bernard see Debiard, Amédée, 92d:33037 

Gillis, J. (with Joyce, Dominic) Some results on combinatorial interpretations for the 
integral of the product of several classical orthogonal polynomials. 92b:33042 

Heckman, G. J. An elementary approach to the hypergeometric shift operators of Opdam. 
92i:33012 

Joyce, Dominic see Gillis, J., 92b:33042 

Kalnins, E.G. (with Miller, Willard, Jr.) Hypergeometric expansions of Heun polynomials. 
92h:33035a 

— (with Miller, Willard, Jr.) Addendum: “Hypergeometric expansions of Heun polynomi- 
als”. 92h:33035b 

Koranyi, Adam Hua-type integrals, hypergeometric functions and symmetric polynomials. 
92h:33036 

Masson, David R. (with Repka, J.) Spectral theory of Jacobi matrices in /?(Z) and the 
su(1, 1) Lie algebra. 92h:33037 

Matsuo, Atsushi An application of Aomoto-Gel’fand hypergeometric functions to the SU(n) 
Knizhnik-Zamolodchikov equation. 92g:33026 

Miller, Willard, Jr. see Kalnins, E. G., 92h:33035a and 92h:33035b 

Prasad, Y. N. see Bhargava, M.; et al., 92d:33035 

Repka, J. see Masson, David R., 92h:33037 

Sasaki, Takeshi Contiguity relations of Aomoto-Gel’fand hypergeometric functions and 
applications to Appell’s system F; and Goursat’s system 3F2. 92i:33013 

Schechtman, V. V. (with Varchenko, A. N.) Hypergeometric solutions of Knizhnik- 
Zamolodchikov equations. 92g:33027 

Sharma, R. Some generating functions of modified Laguerre polynomials—a Lie-algebraic 
approach. 924:33039 

Varchenko, A. N. see Schechtman, V. V., 92g:33027 


Items with secondary classifications in 33C80 

Aldaya, Victor (with Bisquert, J.; Navarro-Salas, José) The quantum relativistic harmonic 
oscillator: generalized Hermite polynomials. 92h:81073 

Beerends, R. J. Chebyshev polynomials in several variables and the radial part of the 
Laplace-Beltrami operator. 92c:33006 

Biedenharn, L. C. see Lohe, M. A.; et al., 92d:33017 

Bisquert, J. see Aldaya, Victor; et al., 92h:81073 

(Bump, Daniel) see Stade, Eric, 92a:11060 

Campigotto, C. (with Smirnov, Yu. F.) On connections between the four-dimensional 
harmonic oscillator and the Coulomb-problem in the representation with the discrete 
basis. 92¢:81021 

Chukwumah, G. C. Lie group theory of the Bessel equation of the first kind of integral order. 
92m:33008 

Date, Etsuré (with Jimbo, Michio; Matsuo, Atsushi; Miwa, Tetsuji) Hypergeometric-type 
integrals and the sI(2,C) Knizhnik-Zamolodchikov equation. 92f:32063 

Desarkar, Bandana Some generating functions involving hypergeometric polynomials by Lie 
algebraic method. 924:33003 

Dowker, J.S. Diffeomorphisms of the 3-sphere. 92d:58007 

Dwork, Bernard * Generalized hypergeometric functions. 92h:14006 

Evans, Ronald J. A character sum for root system G2. 92f:11114 

Feigin, B. L. (with Schechtman, V. V.; Varchenko, A. N.) On algebraic equations satisfied 
by correlators in Wess-Zumino-Witten models. 92d:81121 

(Friedberg, Solomon) see Stade, Eric, 92a:11060 

Gal’bert, O. F. (with Granovskii, Ya. I.; Zhedanov, A. S.) Dynamical symmetry of 
anisotropic singular oscillator. 92e:81021 

Gelfand, I. M. (with Kapranov, M. M.; Zelevinskii, A. V.) Generalized Euler integrals and 
A-hypergeometric functions. 92e:33015 

Ginocchio, Joseph N. A new identity for some six-j symbols. 92m:81079 

Granovskii, Ya. I. (with Zhedanov, A. S.; Lutsenko, I. M.) Quadratic algebras and 
dynamical symmetry of the Schrédinger equation. (Russian) 92g:81062 

— see also Gal’bert, O. F.; et al., 92e:81021 

Gustafson, Robert A. Some g-beta and Mellin-Barnes integrals with many parameters 
associated to the classical groups. 92m:33006 

(Hoffstein, Jeffrey) see Stade, Eric, 92a:11060 

Hubbell, John H. (with Srivastava, Hari M.) Certain theorems on bilateral generating 
functions involving Hermite, Laguerre, and Gegenbauer polynomials. 92b:33020 

Jimbo, Michio see Date, Etsurd; et al., 92f:32063 

Kantseryavichyus, A. Yu. Simple sums of 6j-coefficients. (Russian. English and Lithuanian 
summaries) 92f:81043 

Kapranov, M. M. see Gel'fand, I. M.; et al., 92e:33015 

Klimyk, A. U. see Vilenkin, N. Ya., 92k:22010 

Komarov, L. I. (with Romanova, T. S.; Solodukhin, A.M.) Generalized spherical functions 
in vector parametrization and their quasiclassical asymptotics. (Russian. English 
summary) 92b:33031 





459 1992 


Kostant, Bertram A formula of Gauss-Kummer and the trace of certain intertwining 
operators. 92i:22013 

Lohe, M. A. (with Biedenharn, L. C.; Louck, J. D.) Tensor operator formulation of Weyl- 
ordered polynomials. 924:33017 

Louck, J. D. see Lohe, M. A.; et al., 924:33017 

Lutsenko, I. M. see Granovskii, Ya. 1.; et al., 92g:81062 

Manocha, H. L. Lie theory of Appell function F,. 924:33032 

— (with Sahai, Vivek) On models of irreducible unitary representations of compact Lie 
group SU(2) involving special functions. 92k:22024 

Matsuo, Atsushi see Date, Etsurd; et al., 92f:32063 

Miwa, Tetsuji see Date, Etsurd; et al., 92f:32063 

Navarro-Salas, José see Aldaya, Victor; et al., 92h:81073 

Oda, Tadao (with Park, Hye Sook) Linear Gale transforms and Gel/fand-Kapranov- 
Zelevinskij decompositions. 92d:14042 

Park, Hye Sook see Oda, Tadao, 92d:14042 

Romanova, T.S. see Komarov, L. 1.; et al., 92b:33031 

Rozenblyum, A. V. (with Rozenblyum, L. V.) Matroms of representations of the orthogonal 
group. (Russian) 92¢:22030 

Rozenblyum, L. V. see Rozenblyum, A. V., 92c:22030 

Sahai, Vivek see Manocha, H. L., 92k:22024 

Sasaki, Takeshi (with Yoshida, Masaaki) Tensor products of linear differential equations. 
II. New formulae for the hypergeometric functions. 92h:32040 

Schechtman, V. V. see Feigin, B. L.; et al., 92d:81121 

Sekiguchi, Jiré6 An Euler type integral formula for zonal spherical functions on 
SOpo(m, 2)/SO(m) x SO(2). 92k:43009 

Smirnov, Yu. F. see Campigotto, C., 92c:81021 

Solodukhin, A.M. see Komarov, L. 1; et al., 92b:33031 

Srivastava, Hari M. see Hubbell, John H., 92b:33020 

Stade, Eric On explicit integral formulas for GL(n, R)-Whittaker functions. 92a:11060 

Takemura, Akimichi Zonal polynomials in multivariate analysis. (Japanese) 92a:62087 

Varchenko, A. N. see Feigin, B. L.; et al., 92d:81121 


Vilenkin, N. Ya. (with Klimyk, A. U.) Representations of Lie groups, and special functions. 


(Russian) 92k:22010 
Yoshida, Masaaki see Sasaki, Takeshi, 92h:32040 
Zelevinskii, A. V. see Gel'fand, I. M.; et al., 92e:33015 
Zhedanov, A. S. see Gal’bert, O. F.; et al., 92e:81021 and Granovskii, Ya. 1.; et al., 92g:81062 


33C90 Applications 


Gasper, George Using symbolic computer algebraic systems to derive formulas involving 
orthogonal polynomials and other special functions. 92¢:33029 


Items with secondary classifications in 33C90 


Ahmed, Said Mohamed see Hussein, Nagat Abdel Rahman, 92a:82008 

Brankov, I.G. (with Tonchev, N.S.) An investigation of finite-size scaling for systems with 
long-range interaction: the spherical model. 92a:82033 

Carlson, B.C. B-splines, hypergeometric functions, and Dirichlet averages. 92h:41020 

Clarkson, Peter A. (with Winternitz, Pavel) Nonclassical symmetry reductions for the 
Kadomtsev-Petviashvili equation. 92h:35204 

Drake, G. W. F. see Swainson, Robin A., 92i:81049 

Hussein, Nagat Abdel Rahman (with Ahmed, Said Mohamed) Virial coefficients for the 
square-well potential. 92a:82008 

Kale, P. P. see Khurana, A. P., 92g:33022 

Khurana, A. P. (with Kale, P. P.) Some contiguous functions relations for the Kampé de 
Fériet’s function F;'?. 92g:33022 

Lassalle, Michel Polynémes de Laguerre généralisés. (English summary) [Generalized 
Laguerre polynomials] 92g:33018 

Swainson, Robin A. (with Drake, G. W. F.) A unified treatment of the nonrelativistic and 
relativistic hydrogen atom. III. The reduced Green functions. 92i:81049 

Tonchev, N.S. see Brankov, I. G., 92a:82033 

Williams, Brian Wesley A second class of solvable potentials related to the Jacobi 
polynomials. 92c:81028 

Winternitz, Pavel see Clarkson, Peter A., 92h:35204 


33C99 None of the above, but in this section 


Adamchik, V.S. Wronskians of differential equations of hypergeometric type. (Russian) 
(see 92a:35004) 

Markhasev, G. A system of nonorthogonal polynomials for constructing a solution of the 
Riquier problem in a ball for a semiharmonic equation. (Russian) 92b:33043 

Mishra, Sadhana Some formulae involving trigonometric cosines, Bessel functions, 
generalized hypergeometric series and Fox’s H-function. (Hindi. English summary) 
92b:33044 

Singh, Ramji P. see Tiwary, Rajesh Kumar 

Tiwary, Rajesh Kumar (with Singh, Ramji P.) Different representations of polynomials 
{9n(x,y, z)}§°. 


Items with secondary classifications in 33C99 

Brezinski, Claude A direct proof of the Christoffel-Darboux identity and its equivalence to 
the recurrence relationship. 92a:42028 

Butzer, P. L. (with Hauss, M.) On Stirling functions of the second kind. 92k:11023 

Campos, L. M. B.C. On generalizations of the series of Taylor, Lagrange, Laurent and 
Teixeira. 92a:41018 

Duval, Anne The Kovacic algorithm with applications to special functions. 92i:34038 

Gautam, G. P. (with Jaimini, B. B.) An integral involving A-function of several variables. 

Hauss, M. see Butzer, P. L., 92k:11023 

Holland, Samuel S., Jr. * Applied analysis by the Hilbert space method. 92a:00007 

Jaimini, B. B. see Gautam, G. P. 

Miller, Allen R. Solutions of Fermat’s last equation in terms of Wright’s hypergeometric 
function. 92b:11015 


33D Basic hypergeometric functions 


33D20 


Sharma, Sushil On order of partial sum of Laplace series. (Hindi. English summary) 
92b:42034 


33Dxx Basic hypergeometric functions 


33D05 q-gamma functions, g-beta functions and integrals 


Bressoud, David M. Some directions for multiple hypergeometric series. 92f:33021 

Denis, Remy Y. (with Gustafson, Robert A.) An SU(m) q-beta integral transformation and 
multiple hypergeometric series identities. 92m:33031 

Gasper, George q-extensions of Barnes’, Cauchy’s, and Euler’s beta integrals. 92i:33014 

Gustafson, Robert A. see Denis, Remy Y., 92m:33031 

Koci¢, Viajke Lj. A note on g-gamma function. 92f:33022 

Rahman, Mizan Some infinite integrals of g-Bessel functions. 92d:33040 


Items with secondary classifications in 33D05 

Milne, S.C. A triple product identity for Schur functions. 92g:11021 

Nassrallah, Bassam Basic double series, quadratic transformations and products of basic 
series. 92j:33029 

Rahman, Mizan Some extensions of the beta integral and the hypergeometric function. 
92e:33018 


33D10 Basic theta functions 
Ewell, John A. A trigonometrical identity. 92h:33038 


Items with secondary classifications in 33D10 

Andrews, George E. (with Hickerson, Dean) Ramanujan’s “lost” notebook. VII. The sixth 
order mock theta functions. 92i:11027 

Bressoud, David M. Some directions for multiple hypergeometric series. 92f:33021 

Hickerson, Dean see Andrews, George E., 92i:11027 


33D15 Basic hypergeometric functions in one variable 


Bhagirathi, Neera A. On certain continued fractions and q-series. 92f:33023 

— On certain investigations in g-series and continued fractions. 92f:33024 

— A note on certain papers of Neera A. Bhagirathi: “On certain investigations in g-series and 
continued fractions” [Math. Student 56 (1988), no. 1-4, 158-170; MR 92f:33024], “On 
basic bilateral hypergeometric series and continued fractions” [Math Student 56 (1988), 
no. 1-4, 135-141; MR 90h:33007] and “On certain continued fractions and q-series” 
[Math. Student 56 (1988), no. 1-4, 97-104; MR 92f:33023}. 

Denis, Remy Y. On basic hypergeometric functions and continued fractions. 92m:33032 

— (with Pathan, M. A.) On certain special q-generating functions. 92d:33041 

— On generalization of certain continued fractions. 92b:33045 

Mishra, Anil Kumar On certain basic hypergeometric functions and continued fractions. 
92d:33042 

Pathan, M.A. see Denis, Remy Y., 92d:33041 


Items with secondary classifications in 33D15 


Andrews, George E. A page from Ramanujan’s lost notebook. 92b:11072 

Berndt, Bruce C. Some asymptotic formulas for q-series found in Ramanujan’s third 
notebook and “lost notebook”. 92a:11017 

Biedenharn, L.C. (with Lohe, M. A.) Quantum groups and basic hypergeometric functions. 
92d:33047 

Driver, K. A. (with Lubinsky, D. S.) Convergence of Padé approximants for a q- 
hypergeometric series (Wynn’s power series I). 92g:30036 

Khan, Abdul Hakim see Khan, Mumtaz Ahmad, 92b:33048 

Khan, Mumtaz Ahmad (with Khan, Abdul Hakim) On some characterizations of q-Bessel 
polynomials. 92b:33048 

Lohe, M. A. see Biedenharn, L. C., 924:33047 

Lubinsky, D.S. see Driver, K. A., 92g:30036 

Rahman, Mizan Some infinite integrals of q-Bessel functions. 92d:33040 

(Ramanujan, Srinivasa) see Andrews, George E., 92b:11072 

Singh, Surya Narain Certain transformations of abnormal basic hypergeometric functions. 
924:33045 

Srivastava, Hari M. Some recent results on g-series and g-polynomials. 92g:33009 

Yang, Kung-Wei Partitions, inversions, and g-algebras. 92k:05012 








33D20 Generalized basic hypergeometric series 


Aomoto, Kazuhiko q-analogue of de Rham cohomology associated with Jackson integrals. I. 
92g:33028a 

— q-analogue of de Rham cohomology associated with Jackson integrals. II. 92g:33028b 

Denis, Remy Y. On certain expansions of basic hypergeometric functions and g-fractional 
derivatives. 92i:33015 

— On certain multiple basic hypergeometric identities. 92g:33029 

— On generalization of continued fraction of Gauss. 92b:33046 

Gupta, Mukul Basic hypergeometric series and generalization of a q-series transformation 
of Ramanujan. 92j:33028 

Karlsson, Per W. Some reduction formulas for basic hypergeometric functions. 92h:33039 

Kumar, Rajendra see Saxena, Ram Kishore, 92k:33012 

Nassrallah, Bassam Basic double series, quadratic transformations and products of basic 
series. 92j:33029 

Rahman, Mizan Some extensions of the beta integral and the hypergeometric function. 
92¢:33018 

Saxena, Ram Kishore (with Kumar, Rajendra) Certain transformations of basic hypergeo- 
metric functions of two variables. 92k:33012 

Singh, Surya Narain Certain transformations of q-hypergeometric functions. 92c:33030 

— Certain results involving continued fractions. 92e:33019 





33D20 


Swarttouw, René F. The contiguous function relations for the basic hypergeometric series. 
92¢:33031 


Items with secondary classifications in 33D20 

Andrews, George E. g-trinomial coefficients and Rogers-Ramanujan type identities. 
92e:11109 

Gasper, George q-extensions of Barnes’, Cauchy’s, and Euler’s beta integrals. 92i:33014 

Gustafson, Robert A. The Macdonald identities for affine root systems of classical type and 
hypergeometric series very-well-poised on semisimple Lie algebras. 92k:33015 

Srivastava, Hari M. Ordinary and basic (or q-) hypergeometric functions and associated 
orthogonal polynomials. 92f:33011 

Zeilberger, Doron A holonomic systems approach to special functions identities. 92b:33014 

Zhang, Liang Cheng q-difference equations and Ramanujan-Selberg continued fractions. 
92j:11008 


33D45 Basic orthogonal polynomials and functions in one and 
several variables 


Dave, B. I. see Singhal, J. P., 92b:33052 

Evans, Ronald J. (with Greene, John) Polynomials with nonnegative coefficients whose 
zeros have modulus one. 924:33043 

Greene, John see Evans, Ronald J., 92d:33043 

Gupta, Dharma P. (with Masson, David R.) Exceptional g-Askey-Wilson polynomials and 
continued fractions. 92b:33047 

Gupta, Ram Krishna see Saxena, Ram Kishore, 92b:33050 

Jagtap, T. B. see Patil, K. R., 92i:33016 

Jain, Vinod Kumar see Srivastava, Hari M., 92c:33032 

Khan, Abdul Hakim see Khan, Mumtaz Ahmad, 92b:33048 

Khan, Mumtaz Ahmad (with Khan, Abdul Hakim) On some characterizations of g-Bessel 
polynomials. 92b:33048 

Koekoek, Roelof Generalizations of a g-analogue of Laguerre polynomials. 92m:33033 

Koornwinder, Tom H. The addition formula for little g-Legendre polynomials and the SU(2) 
quantum group. 92f:33025 

— (with Swarttouw, René F.) On q-analogues of the Fourier and Hankel transforms. 
92k:33013 

— see also Van Assche, Walter, 92£:33026 

Madhelar, H.C. On a g-analogue of Hermite polynomials. (Spanish summary) 924:33044 

Masson, David R. see Gupta, Dharma P., 92b:33047 

Mimachi, Katsuhisa see Noumi, Masatoshi, 92b:33049 

Noumi, Masatoshi (with Mimachi, Katsuhisa) Big g-Jacobi polynomials, g-Hahn 
polynomials, and a family of quantum 3-spheres. 92b:33049 

Patil, K.R. (with Jagtap, T. B.) Note on generating function for the g-Jacobi polynomials. 
92i:33016 

Saxena, Ram Kishore (with Gupta, Ram Krishna) Certain multidimensional fractional q- 
integral operators involving Srivastava’s generalized q-hypergeometric function of several 
variables. 92b:33050 

Singh, Surya Narain On certain g-hypergeometric series. 92b:33051 

— Certain transformations of abnormal basic hypergeometric functions. 92d:33045 

Singhal, J.P. (with Dave, B. 1.) Ona q-inversion theorem. 92b:33052 

Srivastava, Hari M. (with Jain, Vinod Kumar) Some formulas involving g-Jacobi and 
related polynomials. 92c:33032 

Swarttouw, René F. see Koornwinder, Tom H., 92k:33013 

Van Assche, Walter (with Koornwinder, Tom H.) Asymptotic behaviour for Wall 
polynomials and the addition formula for little g-Legendre polynomials. 92f:33026 


Items with secondary classifications in 33D45 

Atakishiev, N. M. (with Suslov, S. K.) Difference analogues of the harmonic oscillator. 
(Russian. English summary) 92i:81035 

Denis, Remy Y. (with Pathan, M. A.) On certain special g-generating functions. 92d:33041 

Fivel, Daniel I. Quasi-coherent states and the spectral resolution of the g-Bose field 
operator. 92f:81055 

Gasper, George q-extensions of Barnes’, Cauchy’s, and Euler’s beta integrals. 92i:33014 

Mimachi, Katsuhisa see Noumi, Masatoshi, 92g:33030 

Noumi, Masatoshi (with Mimachi, Katsuhisa) Rogers’s g-ultraspherical polynomials on a 
quantum 2-sphere. 92g:33030 

Pathan, M. A. see Denis, Remy Y., 92d:33041 

Rutkowski, Jerzy On a p-adic analogue of the Legendre system. 92h:11165 

Srivastava, Hari M. Ordinary and basic (or g-) hypergeometric functions and associated 
orthogonal polynomials. 92f:33011 

Suslov, S. K. see Atakishiev, N. M., 92i:81035 

Van Assche, Walter Four lectures on orthogonal polynomials. 92g:42016 

Wilson, James A. Asymptotics for the ,F; polynomials. 924:33024 

— Orthogonal functions from Gram determinants. 92c:33018 

Zhedanov, A.S. Nonlinear shift of g-Bose operators and q-coherent states. 92j:81108 


33D55 Basic spherical functions, spherical harmonics 
(continuous and discrete) 
Mimachi, Katsuhisa see Noumi, Masatoshi, 92g:33030 
Noumi, Masatoshi (with Mimachi, Katsuhisa) Rogers’s g-ultraspherical polynomials on a 
quantum 2-sphere. 92g:33030 
Items with secondary classifications in 33D55 


Rahman, Mizan Some extensions of the beta integral and the hypergeometric function. 
92e:33018 


SPECIAL FUNCTIONS 


1992 460 


33D60 Basic hypergeometric integrals and functions defined by 
them 


Kobayashi, Kazuya On generalized gamma functions occurring in diffraction theory. 
92k:33014 

Kumar, Rajendra see Saxena, Ram Kishore, 92d:33046 

Saxena, Ram Kishore (with Kumar, Rajendra) Certain finite expansions associated with a 
basic analogue of the G-function. (Spanish summary) 92d:33046 


Items with secondary classifications in 33D60 

Gupta, Ram Krishna see Saxena, Ram Kishore, 92b:33050 

Rahman, Mizan Some infinite integrals of g-Bessel functions. 924:33040 

Saxena, Ram Kishore (with Gupta, Ram Krishna) Certain multidimensional fractional g- 
integral operators involving Srivastava’s generalized q-hypergeometric function of several 
variables. 92b:33050 


33D65 Bibasic functions and multiple bases 


Dave, B.I. see Singhal, J. P., 92m:33034 

Denis, Remy Y. On certain expansions of basic hypergeometric functions and basic 
operators. 92b:33053 

— On certain addition and multiplication theorems for multiple poly-basic hypergeometric 
function. 92i:33017 

Khan, Abdul Hakim (with Khan, Mumtaz Ahmad) A study of certain “bibasic” fractional 
integral operators. 92¢:33033 : 

Khan, Mumtaz Ahmad see Khan, Abdul Hakim, 92c:33033 

Krattenthaler, Christian Einige quadratische, kubische und quartische Summenformelin fiir 
q-hypergeometrische Reihen. [Some quadratic, cubic and quartic summation formulas 
for q-hypergeometric series] 92c:33034 

Singhal, J. P. (with Dave, B. I.) A q-analogue of a general class of polynomials and its 
inverse. 92m:33034 


33D70 Other basic hypergeometric functions and integrals in 
several variables 


Gupta, Ram Krishna see Saxena, Ram Kishore, 92g:33031 and 92h:33040 

Kumar, Rajendra see Saxena, Ram Kishore, 92e:33020 

Rassias, Themistocles M. (with Singh, Surya Narain) Certain transformations involving 
basic hypergeometric series. 92m:33035 

Saxena, Ram Kishore (with Kumar, Rajendra) q-analogues of certain recurrence relations 
of generalized hypergeometric functions. 92e:33020 

— (with Gupta, Ram Krishna) On certain transformations of basic hypergeometric 
functions of three variables. 92g:33031 

— (with Gupta, Ram Krishna) On certain g-expansions associated with multivariable basic 
hypergeometric functions of Srivastava. 92h:33040 

Singh, Surya Narain see Rassias, Themistocles M., 92m:33035 


Items with secondary classifications in 33D70 


Bressoud, David M. Some directions for multiple hypergeometric series. 92f:33021 

Gasper, George q-extensions of Barnes’, Cauchy’s, and Euler’s beta integrals. 92i:33014 

Gustafson, Robert A. The Macdonald identities for affine root systems of classical type and 
hypergeometric series very-well-poised on semisimple Lie algebras. 92k:33015 

Kumar, Rajendra see Saxena, Ram Kishore, 92k:33012 

Nassrallah, Bassam Basic double series, quadratic transformations and products of basic 
series. 92j:33029 

Prati, M.C. see Salvetti, Mario, 92m:52023 

Salvetti, Mario (with Prati, M.C.) On local systems over complements to arrangements of 
hyperplanes associated to Grassmann strata. 92m:52023 

Saxena, Ram Kishore (with Kumar, Rajendra) Certain transformations of basic hypergeo- 
metric functions of two variables. 92k:33012 


33D80 Connections with groups, algebras, and related topics 

Aomoto, Kazuhiko Finiteness of a cohomology associated with certain Jackson integrals. 
92¢:33035 

Biedenharn, L.C. (with Lohe, M. A.) Quantum groups and basic hypergeometric functions. 
92d:33047 

Bragiel, Kazimierz On the spherical and zonal spherical functions on a compact quantum 
group. 92h:33041 

Garvan, Frank G. (with Gonnet, Gaston H.) Macdonald’s constant term conjectures for 
exceptional root systems. 92b:33054 

Gonnet, Gaston H. see Garvan, Frank G., 92b:33054 

Gracia-Bondia, José M. see Varilly, Joseph C.; et al., 92a:33012 

Gustafson, Robert A. The Macdonald identities for affine root systems of classical type and 
hypergeometric series very-well-poised on semisimple Lie algebras. 92k:33015 

Kachurik, I. 1. (with Klimyk, A. U.) On Racah coefficients of the quantum algebra U,(su2). 
92a:33011 

Klimyk, A. U. see Kachurik, I. I., 92a:33011 

Koornwinder, Tom H. Orthogonal polynomials in connection with quantum groups. 
92i:33018 

Korogodskii, L. I. see Vaksman, L. L. 

Lohe, M. A. see Biedenharn, L. C., 92d:33047 

Manocha, H. L. On models of irreducible qg-representations of sl(2,C). 92h:33042 

Nomura, Masao Recursion relations for the Clebsch-Gordan coefficient of quantum group 
SU, (2). 92b:33055a 

— Addendum to: “Recursion relations for the Clebsch-Gordan coefficient of quantum group 
SU,(2)”. 92b:33055b 

Schempp, Walter see Varilly, Joseph C.; et al., 92a:33012 

Vaksman, L. L. (with Korogodskii, L. 1.) Spherical functions on the quantum group 
SU(1, 1) and a g-anaiogue of the Mehler-Fock formula. (Russian) 





461 1992 


Varilly, Joseph C. (with Gracia-Bondia, José M.; Schempp, Walter) The Moyal representa- 
tion of quantum mechanics and special function theory. 92a:33012 


Items with secondary classifications in 33D80 


Curtright, Thomas L. Deformations, coproducts, and U. 92:17015 

Denis, Remy Y. (with Gustafson, Robert A.) An SU(m) q-beta integral transformation and 
multiple hypergeometric series identities. 92m:33031 

Gustafson, Robert A. see Denis, Remy Y., 92m:33031 

Kharitonov, Yu. I. see Smirnov, Yu. F.; et al., 92e:81098 

Koornwinder, Tom H. (with Swarttouw, René F.) On g-analogues of the Fourier and Hankel 
transforms. 92k:33013 

Mimachi, Katsuhisa see Noumi, Masatoshi, 92b:33049 

Nomura, Masao A Jordan-Schwinger representation of quadratic relations for SU,(2) 
operators and of the g-analog Wigner-Eckart theorem. 92a:17020a 

— Erratum: “A Jordan-Schwinger representation of quadratic relations for SU,(2) operators 
and of the g-analog Wigner-Eckart theorem”. 92a:17020b 

Noumi, Masatoshi (with Mimachi, Katsuhisa) Big g-Jacobi polynomials, g-Hahn 
polynomials, and a family of quantum 3-spheres. 92b:33049 

Smirnov, Yu. F. (with Tolstoi, V. N.; Kharitonov, Yu. I.) Method of projection operators 
and the q analog of the quantum theory of angular momentum. Clebsch-Gordan 
coefficients and irreducible tensor operators. (Russian) 92¢:81098 

Soibel/man, Ya. S. see Vaksman, L. L., 92e:58021 

Swarttouw, René F. see Koornwinder, Tom H., 92k:33013 

Takhtadzhyan, L. A. Quantum groups and integrable models. 92d:58090 

Tolstoi, V. N. see Smirnov, Yu. F.; et al., 92e:81098 

Vaksman, L. L. (with Soibel/man, Ya. S.) Algebra of functions on the quantum group 
SU(n + 1), and odd-dimensional quantum spheres. (Russian) 92e:58021 


33D90 Applications 


Items with secondary classifications in 33D90 

Chu, Wen Chang Exponential-type rational interpolations and q-series inverse relations. 
92i:41002 

Gasper, George Using symbolic computer algebraic systems to derive formulas involving 
orthogonal polynomials and other special functions. 92¢:33029 


33D99 None of the above, but in this section 


Popov, Blagoj S. Linearization of a product of Q-Appell polynomials. (Macedonian 
summary) 92m:33036 


Items with secondary classifications in 33D99 


Denis, Remy Y. On generalization of certain g-series results of Ramanujan. 92m:11019 

Gabutti, B. (with Kalla, Shyam L.; Hubbell, John H.) Some expansions related to the 
Hubbell rectangular-source integral. 92k:33001 

Hazewinkel, Michiel Introductory recommendations for the study of Hopf algebras in 
mathematics and physics. 92h:16035 

Hubbell, John H. see Gabutti, B.; et al., 92k:33001 

Kalla, Shyam L. see Gabutti, B.; et al., 92k:33001 


33Exx Other special functions 


33E05 Elliptic functions and integrals 


Al-Saqabi, B. N. see Kalla, Shyam L., 92h:33043 

Carlson, B.C. A table of elliptic integrals: one quadratic factor. 92b:33056 

Chiccoli, C. see Dattoli, G.; et al., 92m:33037 

Dattoli, G. (with Chiccoli, C.; Lorenzutta, S.; Maino, Giuseppe; Richetta, M.; Torre, 
Amalia) Generating functions of multivariable generalized Bessel functions and Jacobi- 
elliptic functions. 92m:33037 

Kalla, Shyam L. (with Al-Saqabi, B. N.) Some results for a class of generalized elliptic-type 
integrals. 92h:33043 

Lorenzutta, S. see Dattoli, G.; et al., 92m:33037 

Maino, Giuseppe see Dattoli, G.; et al., 92m:33037 

Petrov, G.S. Nonoscillation of elliptic integrals. (Russian) 92c:33036 

Richetta, M. see Dattoli, G.; et al., 92m:33037 

Torre, Amalia see Dattoli, G.; et al., 92m:33037 


Items with secondary classifications in 33E05 


Belykh, V. N. Calculation on a computer of the complete elliptic integrals K(x) and E(x). 
(Russian) 92g:65026 

Berndt, Bruce C. * Ramanujan’s notebooks. Part III. 92j:01069 

— (with Bhargava, Srinivasamurthy) Ramanujan’s inversion formulas for the lemniscate 
and allied functions. 92j:33030 

Beyer, W. A. (with Fawcett, L. R.; Harten, L. P.; Swartz, B. K.) The volume common to two 
congruent circular cylinders. 92k:51031 

Bhargava, Srinivasamurthy see Berndt, Bruce C., 92j:33030 

Carlson, B.C. A table of elliptic integrals: two quadratic factors. 92k:65027 

Fawcett, L. R. see Beyer, W. A.; et al., 92k:51031 

Harten, L. P. see Beyer, W. A.; et al., 92k:51031 

Hirata-Kohno, Noriko Formes linéaires d’intégrales elliptiques. [Linear forms of elliptic 
integrals] 92g:11074 

Horiguchi, Tsuyoshi Lattice Green’s function for anisotropic triangular lattice. 92h:82025 

Joyce, G.S. (with Zucker, I. J.) Special values of the hypergeometric series. 92h:33005a 

— (with Zucker, I. J.) Corrigendum: “Special values of the hypergeometric series”. 
92h:33005b 

Karlsson, Per W. Inductance and hypergeometric functions. 92i:94026 


33E Other special functions 


33E99 


Kholyavka, Ya. M. Approximation of the invariants of an elliptic function. (Russian. 
Ukrainian summary) 92e:11078 

Ramamani, V. On some algebraic identities connected with Ramanujan’s work. 92k:11044 

(Ramanujan, Srinivasa) see Berndt, Bruce C., 92j:01069 

Rousseau, Christiane (with Zoladek, Henryk) Zeroes of complete elliptic integrals for 1 : 2 
resonance. 92j:58086 

Swartz, B. K. see Beyer, W. A; et al., 92k:51031 

Taha, T.S. Applications of the Jacobian elliptic functions in operator theory. 92k:47096 

Todorov, Pavel G. Maximal domains of univalence of the full elliptic integrals of the first 
and the second kind considered as analytic functions of the complex modulus. 92h:30037 

Vaskevich, V.L. On a system of harmonic polynomials in three-dimensional space. 
(Russian) 92g:31007 

Zoladek, Henryk see Rousseau, Christiane, 92j:58086 

Zacker, I. J. see Joyce, G. S., 92h:33005a and 92h:33005b 


33E10 Lamé, Mathieu, and spheroidal wave functions 


Wang, Hong Yu” A study on angular prolate spheroidal wave functions of zero order. 
(Chinese. English summary) 


Items with secondary classifications in 33E10 

Barcelé, Juan Antonio Spherical Bessel functions: convergence in L? norm. (Spanish. 
English summary) 92f:42034 

Exton, Harold The doubly confluent Heun equation: a differential equation associated with 
the naked singularity in cosmology. (Italian summary) 92m:34046 

Inayat-Hussain, A. A. Mathieu integral transforms. 92b:35043 

Volkov, D. B. Geometric parameters and the conformal mapping of domains bounded by 
circular quadrangles. (Russian) 92b:30005 


33E20 Other functions defined by series and integrals 


Berndt, Bruce C. (with Bhargava, Srinivasamurthy) Ramanujan’s inversion formulas for the 
lemniscate and allied functions. 92j:33030 

Bhargava, Srinivasamurthy see Berndt, Bruce C., 92j:33030 

Klusch, Dieter Astrophysical spectroscopy and neutron reactions: integral transforms and 
Voigt functions. 92k:33016 

Prather, C. L. Some generalized Pélya-Turan inequalities. 92b:33057 

Sahgal, Sadhana see Singh Chandel, R. C., 92f:33027 

Singh Chandel, R.C. (with Sahgal, Sadhana) A multivariable analogue of Gould’s and 
Gould-Hopper’s polynomials. 92f:33027 


Items with secondary classifications in 33E20 

Hendriksen, Erik (with Njastad, Olav) Biorthogonal Laurent polynomials with biorthogo- 
nal derivatives. 92g:33015 

Kitaev, A. V. Symmetric solutions for the first and the second Painlevé equation. (Russian. 
English summary) 92m:34011 

Njastad, Olav see Hendriksen, Erik, 92g:33015 

Ozliik, AliE. (with Snyder, Chip) An identity involving Nérlund polynomials. 92c:11046 

Snyder, Chip see Ozliik, Ali E., 92c:11046 

Taimanov, I. A. Prym theta functions and hierarchies of nonlinear equations. (Russian) 
92k:14044 

Wojtkowiak, Zdzislaw A construction of analogs of the Bloch-Wigner function. 92b:11084 


33E30 Other functions coming from differential, difference and 
integral equations 


Frydryszak, Andrzej On the Grassmannian special functions. I. 924:33048 
Yi, Da Fang Parabolic function expansion and its application to EM theory. 92h:33044 


Items with secondary classifications in 33E30 

Corless, R. M. (with Jeffrey, D. J.; Rasmussen, H.) Numerical evaluation of Airy functions 
with complex arguments. 92k:65028 

Hendriksen, Erik (with Njastad, Olav) Biorthogonal Laurent polynomials with biorthogo- 
nal derivatives. 92g:33015 

Jeffrey, D. J. see Corless, R. M.; et al., 92k:65028 

Kapaev, A. A. Essential singularity of the Painlevé function of the second kind and the 
nonlinear Stokes phenomenon. (Russian. English summary) 92m:34012 

Kitaev, A. V. Turning points of linear systems, and double asymptotics of Painlevé 
transcendents. (Russian. English summary) 92m:34008 

— Symmetric solutions for the first and the second Painlevé equation. (Russian. English 
summary) 92m:34011 

Markhasev, G. A system of nonorthogonal polynomials for constructing a solution of the 
Riquier problem in a ball for a semiharmonic equation. (Russian) 92b:33043 

Nijastad, Olav see Hendriksen, Erik, 92g:33015 

Nobuki, Takayama Euler-Poisson-Darboux equation, harmonic equation and special 
functions of two variables. (see 92m:00039) 

Novokshénov, V. Yu. The Boutroux ansatz for the second Painlevé equation in the complex 
domain. (Russian) 92c:34006 

Paris, R. B. The asymptotic behaviour of Pearcey’s integral for complex variables. 
92h:41064 

Rasmussen, H. see Corless, R. M.; et al., 92k:65028 


33E99 None of the above, but in this section 


Walker, Peter .. Infinitely differentiable generalized logarithmic and exponential functions. 
924d:33049 





34-XX 


34-XX Ordinary differential equations 


34-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 34-00 

Hayek Calil, Nacere * Tablas de ecuaciones diferenciales integrables mediante funciones de 
Bessel-Clifford. (Spanish) [Tables of differential equations that are integrable via Bessel- 
Clifford functions] 92b:33007 

Zwillinger, Daniel * Handbook of differential equations. 92j:00014 


Items listed otherwise than by author 
Tables: 


Differential equations that are integrable via Bessel-Clifford functions see Hayek Calil, 
Nacere, 92b:33007 


34-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Arnol'd, V. I. * Gewéhnliche Differentialgleichungen. (German) [Ordinary differential 
equations] 92a:34001 

Braun, Martin * Differentialgleichungen und ihre Anwendungen. (German) [Differential 
equations and their applications] 92j:34001 

Carrier, George F. (with Pearson, Carl E.) * Ordinary differential equations. 

Collatz, Lothar * Differentialgleichungen. (German) [Differential equations] 92d:34001 

Hubbard, John H. (with West, Beverly H.) * Differential equations: a dynamical systems 
approach. Part I. 92b:34001 

Ibragimov, N. Kh. *& Onbit rpynnosoro aHau3a OObIKHOBeHHBIX DHdepenuMasIbHBIX 
ypapHennit. (Russian) [The experience of group analysis of ordinary differential 
equations] 92i:34001 

(Mai, Brigitte) see Arnold, V. I., 92a:34001 

Mitrinovi¢, Dragoslav S. * Predavanja o diferencijalnim jednatinama. (Serbo-Croatian) 
[Lectures on differential equations] 92e:34001 

Pearson, Carl E. see Carrier, George F. 

(Plischke, W.) see Arnol’d, V. I., 92a:34001 

Rassias, John M. * Counterexamples in differential equations and related topics. 
92h:34001 

(Tremmel, T.) see Braun, Martin, 92j:34001 

West, Beverly H. see Hubbard, John H., 92b:34001 

Yosida, Késaku * Lectures on differential and integral equations. 92a:34002 


Items with secondary classifications in 34-01 


Holland, Samuel S., Jr. * Applied analysis by the Hilbert space method. 92a:00007 

Janich, Klaus * Analysis fiir Physiker und Ingenieure. (German) [Analysis for physicists 
and engineers] 92a:00008 

La, Zhen Qiu * Jingdian he xiandai shuxue wuli fangcheng. (Chinese) [Equations of 
classical and modern mathematical physics] 92f:00005 

O'Malley, Robert E., Jr. * Singular perturbation methods for ordinary differential 
equations. 92i:34071 

Skowronski, J. M. * Nonlinear Liapunov dynamics. 92b:34004 

Vekua, N. P. * Hexoropsie sompocbi Teopux AuddepeHuMabHbIX ypaBHeEHH H IpHOKeHHA 
B MexaHuke. (Russian) [Some problems in the theory of differential equations and 
applications in mechanics] 92h:70001 


34-02 Research exposition (monographs, survey articles) 


Bogaevskii, V.N. (with Povzner, A.) * Algebraic methods in nonlinear perturbation 
theory. 92j:34002 

Gil’, M. I. * Metog onepatopxbix @yHKUMEK B TeopHH AHepenMaNbHBIX ypaBHeHHh (c 
IpHOKeHHAMH K 3afa4aM 9KONOrHH). (Russian) [The method of operator functions in the 
theory of differential equations (with applications to problems of ecology)] 92b:34002 

Gromak, V.1. (with Lukashevich, N. A.) * AHanuTH4ecKHe cBOMCTBa pelieHHi ypaBHeHHht 
Tlennese. (Russian) [Analytic properties of solutions of Painlevé equations] 92b:34003 

Kulik, V. L. see Mitropol'skii, Yu. A.; et al., 92m:34001 

Lukashevich, N. A. see Gromak, V. I., 92b:34003 

Mitropol’skii, Yu. A. (with Samoilenko, A. M.; Kulik, V. L.) * Accnenosanua quxoTOMHH 
JMHeHHBIX CHCTeM AHepeHUMaIbHbIX ypaBHeHHH c NOMoUIbIO dyHKunh JianyHosa. 
(Russian) [Studies in the dichotomy of linear systems of differential equations by means 
of Lyapunov functions] 92m:34001 

Povzner, A. see Bogaevskii, V. N., 92j:34002 

Samoilenko, A. M. see Mitropol’skii, Yu. A.; et al., 92m:34001 

Schaaf, Renate * Global solution branches of two-point boundary value problems. 
92a:34003 

Skowronski, J. M. * Nonlinear Liapunov dynamics. 92b:34004 

Slavyanov, S. Yu. * AcHMnToTHKa pemieHuit ofHOMepHOroO ypaBHeHua Ll pennurepa. 
(Russian) [Asymptotic behavior of solutions of a one-dimensional Schrédinger equation] 
92h:34002 


Items with secondary classifications in 34-02 


Hino, Yoshiyuki (with Murakami, Satoru; Naito, Toshiki) * Functional-differential 
equations with infinite delay. 92g:34088 

Krein, S.G. (with Tovbis, A.I.) Linear singular differential equations in finite-dimensional 
and Banach spaces. (Russian) 92e:34003 

Kurbatov, V.G. * JIuHeftubie audbdbepenuManbHO-pasHocTHbie ypaBHeHua. (Russian) [Linear 
differential-difference equations] 92k:34082 

Martynyuk, A. A. Analysis of the stability of nonlinear systems on the basis of Lyapunov 
matrix functions (a survey). (Russian. English summary) 92i:34066 

Murakami, Satoru see Hino, Yoshiyuki; et al., 92g:34088 

Naito, Toshiki see Hino, Yoshiyuki; et al., 92g:34088 


ORDINARY DIFFERENTIAL EQUATIONS 


Rudenko, O. V. see Vinogradova, M. B.; et al., 92j:00028 

Sibuya, Yasutaka * Linear differential equations in the complex domain: problems of 
analytic continuation. 92a:34010 

Sukhorukov, A. P. see Vinogradova, M. B.; et al., 92j:00028 

Tovbis, A. I. see Krein, S. G., 92e:34003 

Vinogradova, M. B. (with Rudenko, O. V.; Sukhorukov, A. P.) * Teopua Bonn. (Russian) 
[Wave theory] 92j:00028 


34-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 34-03 


Bittanti, Sergio Count Riccati and the early days of the Riccati equation. (see 92d:93008) 

Erbe, Lynn H. A survey of G. J. Butler’s research in the qualitative theory of ordinary 
differential equations. 92¢:01057 4 

Filippova, G. V. see Markush, I. I., 92m:01038 

Giuntini, Sandra The correspondence of Gabriele Manfredi and Giovanni Poleni. (Italian) 
92d:01018 

(Lappo-Danilevskii, I. A.) see Popova, N. Ya., 92i:01024 

Lavrent'ev, M. A. * M36panubie TpyabI. Matematuka 4 MexaHuka. (Russian) [Selected 
works. Mathematics and mechanics] 92d:01078 

(Lexell, A. J.) see Lysenko, V. I., 92g:01037 

Lysenko, V.I. Differential equations in the works of A. J. Lexell. (Russian) 92g:01037 

Mahoney, Michael S. Infinitesimals and transcendent relations: the mathematics of motion 
in the late seventeenth century. 92h:01019 

(Manfredi, Gabriele) see Giuntini, Sandra, 92d:01018 

Markush, I. 1. (with Filippova, G. V.) Ya. D. Tamarkin’s investigations on asymptotic 
methods in the theory of ordinary linear differential equations that contain a large 
parameter. (Russian) 92m:01038 

Mawhin, Jean L. Integration and the fundamental theory of ordinary differential equations: 
a historical sketch. 92h:01038 

Pikus, D. L. see Popova, N. Ya., 92i:01024 

(Poleni, Giovanni) see Giuntini, Sandra, 92d:01018 

Popova, N. Ya. (with Pikus, D. L.) I. A. Lappo-Danilevskii’s generalization of a problem of 
Riemann. (Russian) 92i:01024 

(Riccati, Jacopo) see Bittanti, Sergio, (92d:93008) 

(Tamarkin, Ya. D.) see Markush, I. I., 92m:01038 


Items listed otherwise than by author 
Bibliography: 

Lavrent'ev, M. A. see Lavrent’ev, M. A., 92d:01078 
Biography: 

Lavrent'ev, M. A. see Lavrent’ev, M. A., 92d:01078 


34-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Items with secondary classifications in 34-04 

Andersen, Carl M. (with Geer, James F.) Investigating a hybrid perturbation-Galerkin 
technique using computer algebra. 92i:65130 

Barbot, J.-P. (with Pantalos, N.) Using symbolic calculus for singularly perturbed nonlinear 
systems. (see 92i:93004) 

Berkovich, L. M. (with Gerdt, V. P.; Kostova, Z. T.; Nechaevskii, M. L.) * Computer 
algebra generating related 2nd order linear differential equation. 92¢:34006 

Bittner, Mario (with Zakharov, A. Yu.; Sadkov, S. V.; Khantemirov, R. R.) On the 
application of the B-consistent W-method for solving stiff Cauchy problems. (Russian. 
English summary) 92m:34036 

Doshita, Shuji see Nishida, Toyoaki, 92f:65094 

Geer, James F. see Andersen, Carl M., 92i:65130 

Gerdt, V. P. see Berkovich, L. M.; et al., 92e:34006 

Grossman, Robert Using trees to compute approximate solutions to ordinary differential 
equations exactly. 92f:34011 

Khantemirov, R. R. see Biittner, Mario; et al., 92m:34036 

Kostova, Z.T. see Berkovich, L. M.; et al., 92e:34006 

Lal, Mohan Iterative solution of nonlinear boundary value problems. 924:34027 

Levelt, A. H. M. Stabilizing differential operators. A method for computing invariants at 
irregular singularities. 92h:34013 

Mambriani, Giuseppe Determining differential equations and their solutions, and the 
possibility of constructing an active data base for them. (Italian. English summary) 
92£:34002 

Nechaevskii, M. L. see Berkovich, L. M.; et al., 92e:34006 

Nishida, Toyoaki (with Doshita, Shuji) PSX: a program that explores phase portraits of 
two-dimensional piecewise linear differential equations. 92f:65094 

Pantalos, N. see Barbot, J.-P., (92i:93004) 

Sacks, Elisha P. Automatic analysis of one-parameter planar ordinary differential equations 
by intelligent numeric simulation. 92c:68185 

Sadkov, S. V. see Biittner, Mario; et al., 92m:34036 

Wang, Dong Ming Mechanical manipulation for a class of differential systems. 92g:58002 

Zakharov, A. Yu. see Bittner, Mario; et al., 92m:34036 


34-06 Proceedings, conferences, collections, etc. 


(Borne, P.) see Lyapunov functions method and applications, 92i:34003 

(Klokov, Yu. A.) see Mathematics. Differential equations, 92f:34001 

(Matrosov, V. M.) see Lyapunov functions method and applications, 92i:34003 

(Samoilenko, A. M.) see Methods for investigating differential and functional-differential 
equations, 92d:34002 

(Singer, Michael F.) see Differential equations and computer algebra, 92a:34004 





463 1992 


(Tsyganova, N. Ya.) see Differential equations and applied problems, 92i:34002 
Items listed otherwise than by author 


Differential equations and applied problems * J[uddepenuuanbubie ypaBHeHHA H NpHKNagHBIe 
3agaun. (Russian) [Differential equations and applied problems] 92i:34002 

Differential equations and computer algebra * Differential equations and computer algebra. 
92a:34004 

Lyapunov functions method and applications * The Lyapunov functions method and 
applications. 92i:34003 

Mathematics. Differential equations * Matematuka. JInddbepentManbubie ypaBHenna. 
(Russian) [Mathematics. Differential equations] 92f:34001 

Methods for investigating differential and functional-differential equations * Metos»1 
HCCeOBaHHA LHdepenMaIbHbIX H CPyHKUMOHAIbHO-TMdpepeHUMaIbHbIX ypaBHeHHh. 
(Russian) [Methods for investigating differential and functional-differential equations] 
92d:34002 


Items with secondary classifications in 34-06 


(Berezovskii, A. A.) see Nonlinear evolution equations in applied problems, 92m:00021 

(Busenberg, Stavros N.) see Delay differential equations and dynamical systems, 92f:34057 

(Cooke, Kenneth L.) see Delay differential equations and dynamical systems, 92f:34057 

(Garbey, Marc) see Asymptotic analysis and the numerical solution of partial differential 
equations, 92b:00035 

(Jarvis, R. J.) see Ordinary and partial differential equations, 92m:00046 

(Jones, Christopher K. R. T.) see Dynamics reported: expositions in dynamical systems, 
92k:58002 

(Kaper, Hans G.) see Asymptotic analysis and the numerical solution of partial differential 
equations, 92b:00035 

(Kirchgraber, U.) see Dynamics reported: expositions in dynamical systems, 92k:58002 

(Kurzhanskii, A. B.) see Dynamical systems, 92b:00038 

(Kurzweil, Jaroslav) see Equadiff, 92f:00023 

(Lundqvist, S.O.) see Order and chaos in nonlinear physical systems, 92i:58001 

(March, Norman H.) see Order and chaos in nonlinear physical systems, 92i:58001 

(Martelli, Mario) see Delay differential equations and dynamical systems, 92f:34057 

(Matveev, N. M.) see Partial differential equations, 92¢:00011 

(Mitropol’skii, Yu. A.) see Nonlinear boundary value problems of mathematical physics and 
their applications, 92m:00020 and Nonlinear evolution equations in applied problems, 
92m:00021 

(Sigmund, Karl) see Dynamical systems, 92b:00038 

(Sleeman, B. D.) see Ordinary and partial differential equations, 92m:00046 

(Tosi, Mario P.) see Order and chaos in nonlinear physical systems, 92i:58001 

(Walther, Hans-Otto) see Dynamics reported: expositions in dynamical systems, 92k:58002 

Items listed otherwise than by author 

A IL * Asymptotic analysis and the numerical solution of partial differential 
equations. 92b:00035 

Asymptotic analysis and the numerical solution of partial differential equations * Asymptotic 
analysis and the numerical solution of partial differential equations. 92b:00035 

Bifurcation phenomena in nonlinear systems and theory of dynamical systems * Hisenkei 
kei ni mirareru bunki gensh6 to rikigaku kei riron. [Bifurcation phenomena in nonlinear 
systems and theory of dynamical systems] 92c:58024 

Birthday: 

Cooke, Kenneth * Delay differential equations and dynamical systems. 92f:34057 
Claremont, CA * Delay differential equations and dynamical systems. 92f:34057 
Colloquium: 

Theory of Differential Equations in the Complex Field * Equations différentielles 

dans le champ complexe. Vol. I. [Differential equations in the complex field. Vol. I] 
92m:00038 

— * Equations différentielles dans le champ complexe. Vol. II. [Differential equations in 

the complex field. Vol. II] 92m:00039 
Conference: 

Differential Equations and Applications to Biology and Population Dynamics * Delay 

differential equations and dynamical systems. 92f:34057 

Differential Equations and their Applications * Equadiff 7. 92f:00023 

Ordinary and Partial Differential Equations * Ordinary and partial differential equations. 

Vol. III. 92m:00046 

Delay differential equations and dynamical systems * Delay differential equations and 
dynamical systems. 92f:34057 

Differential equations in the complex field * Equations différentielles dans le champ 
complexe. Vol. I. [Differential equations in the complex field. Vol. I] 92m:00038 

— * Equations différentielles dans le champ complexe. Vol. II. [Differential equations in the 
complex field. Vol. II] 92m:00039 

Dundee * Ordinary and partial differential equations. Vol. II]. 92m:00046 

Dynamical systems * Dynamical systems. 92b:00038 

Dynamics reported: expositions in dynamical systems * Dynamics reported: expositions in 
dynamical systems. 92k:58002 

Equadiff * Equadiff 7. 92f:00023 

Equations différentielles dans le champ complexe * Equations différentielles dans le champ 
complexe. Vol. I. [Differential equations in the complex field. Vol. I] 92m:00038 

— * Equations différentielles dans le champ complexe. Vol. II. [Differential equations in the 
complex field. Vol. II] 92m:00039 

Lecture Notes in Economics and Mathematical Systems * Dynamical systems. 92b:00038 

Lecture Notes in Mathematics * Delay differential equations and dynamical systems. 

921:34057 
Nonlinear boundary value problems of mathematical physics and their applications 

* Henmuettusie Kpaesbie 3aa4H MaTeMaTH4ecKON H3HKH H AX NpHIOKeHUa. (Russian) 

[Nonlinear boundary value problems of mathematical physics and their applications] 

92m:00020 
Nonlinear evolution equations in applied problems * HenuHettubie 980 010MOHHbIe ypaBHeHHA 

B IPHKNAaGHbIX 3aga4yax. (Russian) [Nonlinear evolution equations in applied problems] 

92m:00021 





34A General theory 


34A05 


Order and chaos in nonlinear physical systems * Order and chaos in nonlinear physical 
systems. 92i:58001 
Ordinary and partial differential equations * Ordinary and partial differential equations. 
Vol. III. 92m:00046 
Partial differential equations * Jlupdepenumanbubie ypaBHeHUA C YaCTHBIMK MPOH3BOZHBIMH. 
(Russian) [Partial differential equations] 92e:00011 
Prague * Equadiff 7. 92f:00023 
Sopron * Dynamical systems. 92b:00038 
Strasbourg * Equations différentielles dans le champ complexe. Vol. I. [Differential 
equations in the complex field. Vol. I] 92m:00038 
— * Equations différentielles dans le champ complexe. Vol. II. [Differential equations in the 
complex field. Vol. II] 92m:00039 
Symposium: 
Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems 
* Hisenkei kei ni mirareru bunki gensho to rikigaku kei riron. [Bifurcation phenomena 
in nonlinear systems and theory of dynamical systems] 92c:58024 
Workshop: 
Asymptotic Analysis and the Numerical Solution of Partial Differential Equations 
* Asymptotic analysis and the numerical solution of partial differential equations. 
92b:00035 
Mathematics of Dynamic Processes * Dynamical systems. 92b:00038 


34Axx General theory 


Items with secondary classifications in 34Axx 


Collatz, Lothar * Differentialgleichungen. (German) [Differential equations] 92d:34001 

Hubbard, John H. (with West, Beverly H.) * Differential equations: a dynamical systems 
approach. Part I. 92b:34001 

West, Beverly H. see Hubbard, John H., 92b:34001 


34A05 Explicit solutions and reductions 


Bensch, F. see Niiiez, Josué Arturo; et al., 92d:34003 

Bhuiani, O. P. (with Vijayakumar, K.) On certain new and exact solutions of the Emden- 
Fowler equation and Emden equation via invariant variational principles and group 
invariance. 92a:34005 

Can, Mehmet see Khan, Tariq M., 92b:34005 and 92b:34006 

Coomes, Brian (with Zurkowski, Victor) Linearization of polynomial flows and spectra of 
derivations. 92m:34002 

Derevenskii, V. P. Solvability in quadratures of second-order matrix differential equations. 
(Russian) 92m:34003 

— Solvability in quadratures of third-order linear ordinary differential equations in the 
adjoint representation of Lie algebras. (Russian) 92m:34004 

Dong, Ju Qing see Tang, Guang Song; et al., 92k:34001 

Dragani, Raffaele (with Vassallo, Salvatore) A class of nonlinear equations: some exact 
results. (see 92b:58003) 

Exton, Harold Solutions of Mathieu’s equation. 92c¢:34001 

— On the confluent Heun equation [0, 2, 12]. 92h:34003 

Flessas, G. P. (with Leach, P.G. L.) A completely integrable case in the complex Lorenz 
equations. 92i:34004 

Hervas, Antonio (with Navarro, Enrique) Closed-form solutions for Riccati matrix 
differential equations. (Spanish. English summary) (see 92b:00044) 

Jédar, Lucas (with Navarro, Enrique) A closed form solution for nonsymmetric Riccati 
differential equations with invertible quadratic coefficient. 92a:34006 

Jones, John, Jr. Matrix differential equations and Lyapunov transformations. (see 
92c:90002) 

Khan, Tariq M. (with Can, Mehmet) The initial value problem and some special solutions 
of the fourth Painlevé equation. (Turkish summary) 92b:34005 

— (with Can, Mehmet) On the special solutions of the second Painlevé equation. (Turkish 
summary) 92b:34006 

Korsch, H. J. see Nuiiez, Josué Arturo; et al., 92d:34003 

Leach, P. G. L. see Flessas, G. P., 92i1:34004 

Li, Hong Xiang (with Starc, Zdravko F.) Several classes of integrable nonlinear ordinary 
differential equations. I. First-order equations. (Chinese. English summary) 

— Several classes of integrable nonlinear ordinary differential equations. I]. Higher-order 
equations. (Chinese. English summary) 

Li, Qiong Yao The relation between the solution to Y’ = PY + f(x) and f\")(x). (Chinese) 

Makar‘ina, I. A. Rational solutions of the Riccati equation. (Russian) 92h:34004 

Mambriani, Giuseppe Determining differential equations and their solutions, and the 
possibility of constructing an active data base for them. (Italian. English summary) 
92:34002 

Navarro, Enrique see Jédar, Lucas, 92a:34006 and Hervas, Antonio, (92b:00044) 

Niifiez, Josué Arturo (with Bensch, F.; Korsch, H. J.) On the solution of Hill’s equation 
using Milne’s method. 924:34003 

Ramankutty, P. The complementary function and the general solution. 92b:34007 

Rosi¢, Nikola. (with Vutkovi¢, Miroslav) Double transformations and their application 
to the solution of homogeneous second-order differential equations with variable 
coefficients. (Serbo-Croatian summary) 92i:34005 

Sapkarev, Ilija A. The existence and construction of a polynomial solution of a class of 
second-order linear differential equations. (Macedonian. German summary) 92j:34003 

Starc, Zdravko F. see Li, Hong Xiang; et al. 

Strel/chenya, V.M. A new case of integrability of the general Riccati equation and its 
application to relaxation problems. 92h:34005 

Tang, Guang Song (with Dong, Ju Qing) Integrable types of nonlinear ordinary differential 
equations of higher orders. (Chinese. English summary) 92k:34001 

Vassallo, Salvatore see Dragani, Raffaele, (92b:58003) 

Vijayakumar, K. see Bhutani, O. P., 92a:34005 

Vutkovié, Miroslav see Rosi¢, Nikola, 92i:34005 

Zaurkowski, Victor see Coomes, Brian, 92m:34002 





34A05 


Items with secondary classifications in 34A05 


Al-Bassam, M. A. On fractional operator equations and solutions of a class of third order 
differential equations. (Italian summary) 92b:33039 

— On Gauss’ differential equation and its twenty-four Kummer’s solutions. 92k:01015 

Antonino, José A. (with Romaguera, Salvador) Analytic solution in the unit disc of an 
equation with complex variables. (Spanish. English summary) (see 92b:00044) 

Arriola, E.R. (with Zarzo, A.; Dehesa, J. S.) Spectral properties of the biconfluent Heun 
differential equation. 92i:34033 

(Barbu, Viorel) see Differential equations and control theory, 92m:49004 

Bogatushin, I. Ya. (with Zaitsev, V. F.) On a form of the general integral of first-order 
nonlinear ordinary differential equations. (Russian) (see 92i:34002) 

Chalkley, Roger The differential equation Q = 0 in which Q is a quadratic form in y”, y’,y 
having meromorphic coefficients. 92m:34006 

Chhajlany, S.C. Exact results for the potentials V = —ax?5 + bx‘*+?_ 92a:81021 

Choi, Chiu H. Time-varying Riccati differential equations with known analytic solutions. 
925:93045 

Czichowski, Ginter Lie theory of differential equations and computer algebra. 92h:58176 

Dehesa, J.S. see Arriola, E. R.; et al., 92i:34033 

Dixon, J. M. (with Tuszynski, J. A.; Otwinowski, M.) Special analytical solutions of the 
damped-anharmonic-oscillator equation. 92g:34043 

Georgievska, Slobodanka S. Reduction of a fourth-order boundary value problem to a 
second-order boundary value problem. (Macedonian) 92j:34032 

Goncharenko, A. M. (with Karpenko, V. A.; Mogilevich, V. N.) On potentials that admit 
solutions of the one-dimensional stationary Schrédinger equation in known functions. 
(Russian. English summary) 92g:81032 

Gromak, V.I. (with Tsegel'nik, V. V.) Solutions of a system of three differential equations 
with quadratic nonlinearities. (Russian) 92c¢:34011 

Guerra, J. A. (with Kalla, Shyam L.) Fractional calculus applied to the solution of 
differential equations. (Spanish. English summary) 92b:26014 

Jédar, Lucas Closed form solutions of coupled algebraic and differential matrix equations. 
92e:34013 

— (with Navarro, Enrique) Exact solution of a class of strongly coupled Riccati matrix 
differential equations. 92a:90094 

— Explicit solutions of Riccati equations appearing in differential games. 92b:90258a 

— Solving coupled Riccati matrix differential systems. 92b:90258b 

— (with Navarro, Enrique) Explicit solutions for boundary value problems related to the 
operator equations X'2) — AX =0. (Czech summary) 92k:34017 

— (with Navarro, Enrique) Solving boundary value problems for the matrix equation 
X(t) — AX(t) = F(t). 92k:34018 

— (with Navarro, Enrique) Analytic solution of Riccati equations occurring in open-loop 
Nash multiplayer differential games. 92k:90139 

— (with Navarro, Enrique) Solving coupled systems of linear second-order differential 
equations knowing a part of the spectrum of the companion matrix. 92m:34020 

— see also Navarro, Enrique, 92h:34046 

Kalla, Shyam L. see Guerra, J. A., 92b:26014 

Karpenko, V. A. see Goncharenko, A. M.; et al., 92g:81032 

Krause, Jorge (with Michel, Louis) Classification of the symmetries of ordinary differential 
equations. 92m:58119 

Michel, Louis see Krause, Jorge, 92m:58119 

Mogilevich, V. N. see Goncharenko, A. M.; et al., 92g:81032 

Navarro, Enrique (with Jédar, Lucas) Solving two-point boundary value problems for the 
nonmonic regular matrix differential equation AX)(t) — BX(t) = F(t). 92h:34046 

— see also Jédar, Lucas, 92a:90094; 92k:34017; 92k:34018; 92k:90139 and 92m:34020 

Otwinowski, M. see Dixon, J. M.; et al., 92g:34043 

Parnev, I. V. Some problems of integration in closed form and of the stability of systems of 
differential equations. (Russian) (see 92e:00011) 

Romaguera, Salvador see Antonino, José A., (92b:00044) 

Trenéevski, Kostadin On the solution of arbitrary system of linear differential equations. 
(Macedonian summary) 

Triméche, K. Transmutation operators and mean-periodic functions associated with 
differential operators. 92¢:43004 

Tsegel’nik, V. V. see Gromak, V. I., 92c:34011 

Tuszytiski, J. A. see Dixon, J. M.; et al., 92g:34043 

Zaitsev, V. F. see Bogatushin, I. Ya., (92i:34002) 

Zarzo, A. see Arriola, E. R.; et al., 92i:34033 


Items listed otherwise than by author 
Conference: 
Differential Equations and Control Theory * Differential equations and control theory. 
92m:49004 
Differential equations and control theory * Differential -quations and control theory. 
92m:49004 
lagi * Differential equations and control theory. 92m:49004 


34A09 Implicit equations 


Griepentrog, Eberhard The index of differential-algebraic equations and its significance for 
the circuit simulation. 92h:34006 

— Geometrical aspects of the index reduction in differential-algebraic equations. (see 
92e:65003) 

Hanke, Michael On the asymptotic representation of a regularization approach to nonlinear 
semiexplicit higher-index differential-algebraic equations. 92h:34007 

Marz, Roswitha Analysis and numerical treatment of differential-algebraic sy 
92h:34008 

Rabier, Patrick J. (with Rheinboldt, Werner C.) A general existence and uniqueness theory 
for implicit differential-algebraic equations. 92d:34004 

Reich, Sebastian On a geometrical interpretation of differential-algebraic equations. (see 
92¢:65003) 


— On an exisicnce and uniqueness theory for nonlinear differential-algebraic equations. 
92k:34002a 





ORDINARY DIFFERENTIAL EQUATIONS 


1992 464 


— Erratum to: “On an existence and uniqueness theory for nonlinear differential-algebraic 
equations”. 92k:34002b 

Rheinboldt, Werner C. On the existence and uniqueness of solutions of nonlinear semi- 
implicit differential-algebraic equations. 92c:34002 

— see also Rabier, Patrick J., 92d:34004 

Zernov, A. E. Solution of a singular Cauchy problem of implicit form. (Russian. Ukrainian 
summary) 92g:34001 


Items with secondary classifications in 34A09 

Arnold, M. Linearly implicit Runge-Kutta methods for DAEs of index 1—two approaches. 
(see 92e:65003) 

Bai, Yin A perturbed collocation method for boundary-value problems in differential- 
algebraic equations. 92i:65123 

Barrlund, Anders Constrained least squares methods for linear time varying DAE systems. 
92h:65101 

Brenan, K. E. (with Campbell, Stephen L.; Petzold, Linda R.) * Numerical solution of 
initial value problems in differential-algebraic equations. 92¢:65001 

Campbell, Stephen L. see Brenan, K. E.; et al., 92e:65001 

Chernyshov, K.I. Asymptotic expansions of solutions of an equation with a Fredholm 
operator in front of the derivative in the critical case. 92a:34055 

Denisenko, P.M. An unsaturated method for the discretization of systems of linear 
differential equations that are not solved with respect to the derivatives. (Russian) 
92c:65079 

Engl, Heinz W. (with Hanke, Michael; Neubauer, Andreas) Tikhonov regularization of 
nonlinear differential-algebraic equations. (see 92a:00040) 

Fihrer, Claus (with Leimkuhler, B. J.) Numerical solution of differential-algebraic 
equations for constrained mechanical motion. 92f:65080 

— see also Simeon, Bernd; et al., 92i:70017 

Gear, C. W. see Leimkuhler, B. J.; et al., 92e:65091 

Griepentrog, Eberhard Transformation methods for differential-algebraic equations. 
92f:65081 

— The numerical treatment of the motion equations of mass point systems. 92e:70001 

Hairer, Ernst Order of convergence of Runge-Kutta methods for stiff and differential- 
algebraic problems. (see 92e:65003) 

Hanke, Michael Approximation of higher index differential-algebraic systems. (see 
92e:65003) 

— see also Engl, Heinz W.; et al., (92a:00040) 

Hill, David J. (with Mareels, [ven M. Y.) Stability theory for differential /algebraic systems 
with application to power systems. (see 92b:93007) 

Horwitz, Alan Homogeneous, isobaric, and autonomous algebraic differential equations. 
92j:12011 

Kaczynski, Tomasz Implicit differential equations which are not solvable for the highest 
derivative. 92i:34026 . 

Kunkel, Peter (with Mehrmann, Volker) Smooth factorizations of matrix valued functions 
and their derivatives. 92h:65103 

Lee, Meei-Yow Lin Estimation of the error in the reduced basis method solution of 
differential algebraic equation systems. 924:65120 

Leimkuhler, B. J. (with Petzold, Linda R.; Gear, C. W.) Approximation methods for the 
consistent initialization of differential-algebraic equations. 92e:65091 

— see also Fihrer, Claus, 92f:65080 

Mareels, Iven M. Y. see Hill, David J., (92b:93007) 

Martynov, I. P. (with Pron’ko, V. A.) Single-valued solutions of a class of differential 
equations. (Russian) 924:34015 

Marz, Roswitha Higher-index differential-algebraic equations: analysis and numerical 
treatment. 92d:65121 

— On integration methods applied to higher index differential algebraic systems. (see 
92e:65003) 

Mehrmann, Volker see Kunkel, Peter, 92h:65103 

Neubauer, Andreas see Engl, Heinz W.; et al., (92a:00040) 

Niepage, Hans-Dietrich On the numerical solution of differential-algebraic equations with 
discontinuities. (see 92e:65003) 

Petzold, Linda R. see Brenan, K. E.; et al., 92e:65001 and Leimkuhler, B. J.; et al., 92e:65091 

Potra, Florian A. (with Rheinboldt, Werner C.) On the numerical solution of Euler- 
Lagrange equations. 92i:65121 

Pron’ko, V. A. see Martynov, I. P., 924:34015 

Rentrop, Peter see Simeon, Bernd; et al., 92i:70017 

Rheinboldt, Werner C. The theory and numerics of differential-algebraic equations. (see 
92f:65005) 

— see also Potra, Florian A., 92i:65121 

Ricceri, Biagio On the Cauchy problem for the differential equation f(t, x, x’,---, x) =0. 
92j:34004 

Roche, Michel The numerical solution of diffe ial-algebraic sy by Rosenbrock 
methods. (see 92e:65003) 

Schneider, Klaus R. A note on the waveform relaxation method. 92h:65105 

Simeon, Bernd (with Fihrer, Claus; Rentrop, Peter) Differential-algebraic equations in 
vehicle system dynamics. 92i:70017 

Srinivasu, P.D.N. see Venkatesulu, M., 92e:34064 

Stepanova, T. V. Representations of generalized O-solutions of the general Bendixson 
equation in the quasi-analytic case. (Russian) 92i:34011 

Strehmel, Karl (with Weiner, Riidiger) Linearly-implicit Runge-Kutta methods for 
singularly perturbed problems and index-1-DAEs. (see 92e:65003) 

Venkatesulu, M. (with Srinivasu, P.D.N.) Stability of solutions of a nonstandard ordinary 
differential system by Lyapunov’s second method. 92e:34064 

Weiner, Riidiger see Strehmel, Karl, (92e:65003) 

Zernov, A. E. Solvability and asymptotic behavior of solutions of a Cauchy problem. 
(Russian. English and Georgian summaries) 92c:34904 

Zheng, Qinghua Hopf bifurcation in differential algebraic equations and applications to 
circuit simulation. 92¢:34052 








465 1992 


34A12 Initial value problems, existence, uniqueness, continuous 
dependence and continuation of solutions 


Abdullaev, A. R. Solvability of the Cauchy problem for a singular second-order equation in 
the critical case. (Russian. English and Georgian summaries) 92c:34003 

Ad”yutov, M. M. (with Klokov, Yu. A.) Uniqueness of the solution of an initial value 
problem for second-order ordinary differential equations with singularities. (Russian. 
English and Latvian summaries) 92g:34002 

Afyan, S. K. A system of ordinary differential equations of noncanonical form. I. (Russian. 
English and Armenian summaries) 92¢:34002 

Antonino, José A. The Picard theorem on a surface. (Spanish. English summary) (see 
92g:00024) 

Augé, Juan On the general solution of a differential system. (Spanish) 

Aziz, Sawsan M. Existence and smoothness of solutions of a system of degenerate ordinary 
differential equations of Euler’s type. 92d:34005 

Batard Martinez, Lorgio The Euler equation with a small parameter. 92m:34005 

Chew, Tuan Seng (with Flordeliza, Francisco) On x’ = f(t, x) and Henstock-Kurzweil 
integrals. 92h:34009 

Das, Purna C. (with Venkatesulu, M.) A nontraditional approach to the existence theory of 
differential equations. 92d:34006 

Erbe, Lynn H. (with Liang, Zhong Chao) Continuation and uniqueness for generalised 
Emden-Fowler systems. 92f:34003 

Ferrer, M. V. (with Vidal, Antonio) A theorem on the existence of surfaces for the 
differential equation x’(t) = f(t, x(t)). (Spanish. English summary) (see 92m:00049) 

Flordeliza, Francisco see Chew, Tuan Seng, 92h:34009 

Grigor’eva, N. V. On the existence of a solution of the Abel equation of the first kind in a 
Banach space. (Russian) (see 92e:00011) 

Hervas, Antonio (with Jédar, Lucas) Solution of coupled initial value matrix differential 
problems that arise in Scott’s [embedding] algorithm. (Spanish. English summary) (see 
92m:00052) 

Howell, G. W. (with Lakshmikantham, V.) A new approach to monotone iterative 
technique for solution of differential equations. 92b:34008 

Jédar, Lucas see Hervas, Antonio, (92m:00052) 

Kloeden, Peter Remarks on Peano-like theorems for fuzzy differential equations. 92h:34010 

Klokov, Yu. A. see Ad”yutov, M. M., 92g:34002 

Kvinikadze, G.G. A singular Cauchy problem for nonlinear ordinary differential equations. 
(Russian. English and Slovak summaries) 92b:34009 

Lakshmikantham, V. see Howell, G. W., 92b:34008 

Liang, Zhong Chao see Erbe, Lynn H., 92f:34003 

Ligeza, Jan On generalized solutions of some differential equations. 92b:34010 

Lungu, Nicolae Noncontinuation results for some classes of differential systems. (see 
92m:00032) 

Manrilla, Dusan Solutions of second-order nonlinear differential equations belonging to the 
class Lp. (Slovak. English, French and Russian summaries) 92d:34007 

Persson, Jan Regularization of nonlinear measure differential equations. 92d:34008 

— Distribution differential equations. Regularization and bending of a rod. 92a:34007 

Ricceri, Biagio On the Cauchy problem for the differential equation f(t, x,x’,---,x)) =0. 
92j:34004 

Solnechnyi, E.M. Robustness of a linear system that depends on a scalar parameter. 
(Russian) 92a:34008 

Venkatesulu, M. see Das, Purna C., 92d:34006 

Vidal, Antonio see Ferrer, M. V., (92m:00049) 

Wagner, Eberhard Uber ein abzahlbares System gewohnlicher linearer Differentialgleichun- 
gen von Bandstruktur. [On a countable system of ordinary linear differential equations of 
band structure] 92b:34011 

Ye, Hui An extension of the Cauchy-Peano existence theorem. (Chinese) 924:34009 

Zernov, A. E. Solvability and asymptotic behavior of solutions of a Cauchy problem. 
(Russian. English and Georgian summaries) 92c¢:34004 


Items with secondary classifications in 34A12 


Akhmetov, M. U. (with Perestyuk, N. A.) On the existence of higher-order B-derivatives of 
solutions of impulse systems with respect to initial data. (Russian. English and Kazakh 
summaries) 92h:34028 

— (with Perestyuk, N. A.) Periodic solutions of quasilinear impulse systems in the critical 
case. (Russian. Ukrainian summary) 92d:34088 

Angelov, Vasil G. A coincidence theorem in uniform spaces and applications. 92h:54058 

Atdaev, S. * AHamHTH4ecKHe MeTOLbI ABYCTOPOHHHX NpHOMxKeHHH In O6bIKHOBCHHBIX 
muddepenmHanbHbix ypapenennht. (Russian) [Analytic methods of two-sided approxima- 
tions for ordinary differential equations] 92g:34017 

Bainov, Drumi D. (with Kostadinov, St. I.; Myshkis, A.D.) Properties of the Ly-solutions 
of linear impulsive equations in a Banach space. 92g:34078 

— (with Kostadinov, St. I.; Zabreiko, P. P.) Existence of solutions of nonlinear impulsive 
differential equations with exponentially dichotomous or dichotomous linear part. 
92k:34012 

— see also Dishliev, A. B., 92b:34025 and 92m:34027 

Barkova, E. A. (with Zabreiko, P. P.) The Cauchy problem for higher-order differential 
equations with deteriorating operators. (Russian) 924:34125 

Bobisud, L. E. (with Lee, Y.S.) Existence of monotone or positive solutions of singular 
second-order sublinear differential equations. 92k:34022 

Boutet de Monvel-Berthier, Anne-Marie (with Nenciu, Gheorghe) On the theory of 
adiabatic invariants for linear Hamiltonian systems. (French summary) 92b:81048 

Brantley, Rick (with Henderson, Johnny) Some analogues of a theorem of Peano for 
boundary value problems. 92¢:34025 

Brenan, K. E. (with Campbell, Stephen L.; Petzold, Linda R.) * Numerical solution of 
initial value problems in differential-algebraic equations. 92¢:65001 

Bullen, P.S. (with Vyborny, Rudolf) Some applications of a theorem of Marcinkiewicz. 
92d:26016 

Byszewski, Ludwik (with Lakshmikantham, V.) Theorem about the existence and 
uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space. 
92h:34121 


34A General theory 


Campbell, Stephen L. see Brenan, K. E.; et al., 92e:65001 

Can, Mehmet see Khan, Tariq M., 92b:34005 

Deuflhard, P. J. Uniqueness theorems for stiff ODE initial value problems. (see 924:65009) 

Dishliev, A. B. (with Bainov, Drumi D.) Continuous dependence of the solution of a system 
of differential equations with impulses on the initial condition. 92m:34027 

— (with Bainov, Drumi D.) Continuous dependence on the initial condition and a 
parameter of the solutions of a class of differential equations with variable structure and 
impulses. 92b:34025 

Dobrokhotova, M. A. Exponential solutions of a third-order linear differential equation with 
periodic coefficients. (Russian. English and Georgian summaries) 92a:34030 

Dosumov, T. B. On a theory of the generalized solution of the Cauchy problem. (Russian. 
Kazakh summary) 92m:34138 

Emmanuele, Giovanni Existence of approximate solutions for O.D.E.s under Carathéodory 
assumptions in closed, convex sets of Banach spaces. 92m:34139 

Fuhrman, M. Bounded solutions for abstract time-periodic parabolic equations with 
nonconstant domains. 92f:34054 

Garay, Barnabas M. Deleting homeomorphisms and the failure of Peano’s existence 
theorem in infinite-dimensional Banach spaces. 92i:34081 

Henderson, Johnny see Brantley, Rick, 92c:34025 

Huang, Cheng Gui The explicit solutions of the Sturm-Liouville problem. 92k:34029 

Tlolov, M. see Samoilenko, A. M., 92b:34071 and 92m:34034 

Ismailov, Z.1. A poly ial approximation of the solution of the Cauchy problem. 
(Russian. Ukrainian summary) 92e:34074 

Izé, A. F. An infinite-dimensional extension of theorems of Hartman and Wintner on 
monotone positive solutions of ordinary differential equations. 92m:34140 

Kenzhebaev, K. see Samoilenko, A. M.; et al., 92b:34022 

Khalilov, M.S. Differentiable dependence on the initial data of the solution of a functional- 
differential equation. (Russian) 92¢:34071 

Khan, Tariq M. (with Can, Mehmet) The initial value problem and some special solutions 
of the fourth Painlevé equation. (Turkish summary) 92b:34005 

Khoang Zyong Tuan A theorem on the continuous parameter dependence of the solution 
set of differential inclusions in a Banach space with closed right-hand side. (Russian. 
Ukrainian summary) 92m:34045 

Konyukhova, N. B. On the existence and uniqueness of solutions, bounded in time, of 
systems of evolution quasilinear equations with first-order partial derivatives. (Russian) 
92m:35115 

Korzhavin, A.O. Asymptotic solution of a singularly perturbed Cauchy problem. (Russian) 
92d:34114 

Kostadinov, St. 1. see Bainov, Drumi D.; et al., 92g:34078 and 92k:34012 

Kvinikadze, G. G. Rapidly increasing solutions of systems of nonlinear ordinary differential 
equations. (Russian. English and Georgian summaries) 92d:34070 

Lakshmikantham, V. see Byszewski, Ludwik, 92h:34121 

Lambert, J. D. * Numerical methods for ordinary differential systems. 92i:65114 

Laptinskii, V. N. see Samoilenko, A. M.,; et al., 92b:34022 

Lee, Y.S. see Bobisud, L. E., 92k:34022 

Lin, Fa Xing The existence of almost periodic solutions and periodic solutions. 92b:34050 

Luchik, V. E. A truncation method for linear equations with impulses in a space of bounded 
numerical sequences. (Russian) 92f:34009 

Maksimovich, S. I. (with Yurchuk, N. I.) The Cauchy problem for operator-differential 
equations of Fuchsian type. (Russian) 92h:34115 

Mir, Nazir A. Implicit 4-cyclic 4-step methods of order 7. 

Mortola, Stefano (with Peirone, Roberto) The homogenization of an ordinary differential 
equation with a chessboard structure. (Italian. English summary) 92d:34034 

Myshkis, A. D. see Bainov, Drumi D.; et al., 92g:34078 

Nazarov, V. I. Solvability of the Cauchy problem for differential equations in locally convex 
spaces. (Russian) 92h:34110 

Nenciu, Gheorghe see Boutet de Monvel-Berthier, Anne-Marie, 92b:81048 

Otsuki, Tominosuke A Cauchy type theorem on ordinary differential equations and its 
applications. 92m:53074 

Peirone, Roberto see Mortola, Stefano, 92d:34034 

Perestyuk, N. A. see Akhmetov, M. U., 92d:34088 and 92h:34028 

Petzold, Linda R. see Brenan, K. E.; et al., 92e:65001 

Poreda, Tadeusz On generalized differential equations in Banach spaces. 92i:34079 

Rabier, Patrick J. (with Rheinboldt, Werner C.) A general existence and uniqueness theory 
for implicit differential-algebraic equations. 92d:34004 

Ramankutty, P. The complementary function and the general solution. 92b:34007 

Rheinboldt, Werner C. On the existence and uniqueness of solutions of nonlinear semi- 
implicit differential-algebraic equations. 92¢:34002 

— see also Rabier, Patrick J., 92d:34004 

Rogovchenko, S. P. (with Rogovchenko, Yu. V.) Continuous dependence of solutions of 
impulse evolution systems on the initial data. (Russian) 92m:34033 

Rogovchenko, Yu. V. see Rogovchenko, S. P., 92m:34033 

Rogovtsov, N. N. On the solution of the Cauchy problem for infinite systems of differential 
equations that describe the process of multiphoton collisionless excitation of molecules. 
(Russian) 92b:34023 

Saakyan, B. A. Solutions of some differential equations of fractional order. (Russian. 
English and Armenian summaries) 92e:34007 

Samoilenko, A.M. (with Kenzhebaev, K.; Laptinskii, V. N.) Investigation of a periodic 
boundary value problem for nonlinear systems of differential equations. (Russian) 
92b:34022 

— (with Iolov, M.) On the theory of evolution equations with impulse action. (Russian) 
92b:34071 

— (with lolov, M.) On the theory of time-inhomogeneous evolution equations with impulse 
actions. (Russian) 92m:34034 

Shkarin, S. A. Some results on the solvability of ordinary linear differential equations in 
locally convex spaces. (Russian) 92c:34068 

Shpakovich, O. V. Differentiability with respect to the parameter of an exponentially 
dichotomous invariant torus of a quasilinear system of differential equations. (Russian) 
92h:34092 

Slemrod, Marshall Coagulation-diffusion systems: derivation and existence of solutions for 








34A12 


the diffuse interface structure equations. 92b:82090 

Spezamiglio, Adalberto Bounded solutions of ordinary differential equations, and stability. 
(Portuguese. English summary) 92h:34073 

Srinivasu, P. D. N. see Venkatesulu, M., 92¢:34064 

Starun, I. I. Solution of the Cauchy problem for a singularly perturbed linear system. 
(Russian. Ukrainian summary) 92f:34052 

Sun, Yong A fixed point theorem for mixed monotone operators with applications. 
92g:47088 

Tan, Yong see Thouless, D. J. 

Thouless, D. J. (with Tan, Yong) Total bandwidth for the Harper equation. III. Corrections 
to scaling. 

Venkatesulu, M. (with Srinivasu, P.D.N.) Stability of solutions of a nonstandard ordinary 
differential system by Lyapunov’s second method. 92¢:34064 

Volkmann, Peter Quelques résultats récents sur les équations différentielles dans les espaces 
de Banach. (English summary) [Some recent results on differential equations in Banach 
spaces] 92h:34125 

Vulanovi¢, Relja A second order numerical method for nonlinear singular perturbation 
problems without turning points. (Russian summary) 92¢:34017 

Vyborny, Rudolf see Bullen, P. S., 92d:26016 

Yurchuk, N.I. see Maksimovich, S. I., 92h:34115 

Zabreiko, P. P. see Barkova, E. A., 92d:34125 and Bainov, Drumi D.; et al., 92k:34012 

Zaidman, Samuel Uniqueness of bounded solutions for some abstract differential equations. 
92d:34124 

— A local existence result for the equation (d/dt)Bu(t) = Au(t) + f(t) in Hilbert spaces. 
(French summary) 92e:34078 

Zernov, A. E. On the asymptotic behavior of solutions of a Cauchy problem. (Russian. 
Ukrainian summary) 924:34112 

— Solution of a singular Cauchy problem of implicit form. (Russian. Ukrainian summary) 
92g:34001 

Zheng, Quan? Uniqueness, existence and wellposedness of solutions of first order abstract 
Cauchy problem. 92h:34120 

— Global solutions to abstract differential equations and their applications. (Chinese) 
92h:34111 

Zhukova, G.S. Asymptotic behavior of the solutions of a class of linear systems with a 
degenerate matrix multiplying the derivative. (Russian) 92b:34063 


34A20 Differential equations in the complex domain 
[see also 30D05, 32G34] 


Antonino, José A. (with Romaguera, Salvador) Analytic solution in the unit disc of an 
equation with complex variables. (Spanish. English summary) (see 92b:00044) 

— (with Romaguera, Salvador) Analytic and univalent solutions of Briot-Bouquet 
differential equations. 92d:34010 

Balser, Werner Dependence of differential equations upon parameters in their Stokes’ 
multipliers. 92d:34011 

Bank, Steven B. On the oscillation theory of periodic linear differential equations. 
92d:34012 

— (with Langley, J. K.) On the zeros of the solutions of the equation w) + (Re? + Q)w = 
0. 92a:34009 

— (with Langley, J. K.) Oscillation theory for higher order linear differential equations with 
entire coefficients. 92g:34003 

— On oscillation, continuation, and asymptotic expansions of solutions of linear differential 
equations. 92j:34005 

Barry, P. D. (with Hurley, D. J.) A context for addition formulae. 

Chalkley, Roger The differential equation Q = 0 in which Q is a quadratic form in y”, y’, y 
having meromorphic coefficients. 92m:34006 

Chen, Zu Ming see Guan, Ke Ying; et al. 

Dimitrovski, Dragan see Rajovi¢, Miloje, 92i:34006 

Fujita, Kenji see Ishizaki, Katsuya, 92m:34007 

Gao, Shi An Two theorems on the complex oscillation theory of nonhomogeneous linear 
differential equations. 92j:34006 

Gérard, Raymond Sur le théor¢me de Maillet. [On Maillet’s theorem] 92j:34013 

Gonzalez, Patricio Dimension of the vector space of analytic solutions of certain singular 
differential equations. 92b:34012 

Gorbachevskii, A. E. see Mokhon’ko, V. D., 92j:34010 

Guan, Ke Ying (with Chen, Zu Ming) Doubly periodic solutions of the Riccati equation in 
complex domain. 

He, Yu Zan (with Zou, Xiu Lin; Lin, Yong) Meromorphic solutions to ordinary differential 
equations. (Chinese) 92h:34011 

Huang, Cun Zhi Real zeros of solutions of second order linear differential equations. 
92b:34013 

— Some results on the complex oscillation theory of second order linear differential 
equations. 92k:34003 

Hurley, D. J. see Barry, P. D. 

Ilievski, Borko A theorem on the analytic solution of a first-order p-differential equation 
with an analytic right-hand side. (Macedonian. Russian summary) 92j:34007 

Ishii, Masaharu Painlevé property and algebraic integrability of single variable ordinary 
differential equations with dominants. 92d:34013 

Ishizaki, Katsuya Admissible solutions of the Schwarzian differential equation. 92c:34005 

— On a conjecture of Gackstatter and Laine on some differential equations. 92j:34008 

— (with Fujita, Kenji) Deficient and ramified small functions for admissible solutions of 
some differential equations. II. 92m:34007 

Iwano, Masahiro A new method to construct bounded solutions at an irregular type 
singularity. (see 92m:00038) 

Kapaev, A. A. (with Kitaev, A. V.) The limit transition P2 — P;. (Russian. English 
summary) 92m:34009 

— Weakly nonlinear solutions of the equation P?. (Russian. English summary) 92m:34010 

— Essential singularity of the Painlevé function of the second kind and the nonlinear Stokes 
phenomenon. (Russian. English summary) 92m:34012 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 466 


Kimura, Tosihusa Maps with polynomial Schwarzian derivatives and the Jacobian problem. 
(see 92m:00039) 

Kitaev, A. V. Quadratic transformations for the sixth Painlevé equation. 924:34014 

— Turning points of linear systems, and double asymptotics of Painlevé transcendents. 
(Russian. English summary) 92m:34008 

— Symmetric solutions for the first and the second Painlevé equation. (Russian. English 
summary) 92m:34011 

— see also Kapaev, A. A., 92m:34009 

Klarés, Bernard (with Sadler, Charles) Irregular singularity, iterated integrals and 
connexion problem. 92m:34013 

— Irregular singular point of a linear differential system—dependence on the initial 
matrices. 92h:34012 

Klimashevskaya, I. N. (with Kondratenya, S.G.) Elementary classes of autonomous sys- 
tems of two differential equations that do not have solutions with movable nonalgebraic 
singular points. (Russian) 92f:34004 

Kohno, Mitsuhiko A global analysis of Fuchsian equations. (see 92m:00038) 

Kondratenya, S.G. see Klimashevskaya, I. N., 92f:34004 

Krein, S.G. (with Tovbis, A. 1.) Linear singular differential equations in finite-dimensional 
and Banach spaces. (Russian) 92¢:34003 

Kuiken, Kathryn (with Masterson, John T.) Monodromy groups of differential equations on 
Riemann surfaces of genus 1. 92b:34014 

Langley, J. K. Some oscillation theorems for higher order linear differential equations with 
entire coefficients of small growth. 92g:34004 

— see also Bank, Steven B., 92a:34009 and 92g:34003 

Leontovich, E. A. (with Tareev, V. P.) On the problem of splitting a complex separatrix loop 
by “field rotation”. (Russian) 92b:34015 

Levelt, A. H. M. Stabilizing differential operators. A method for computing invariants at 
irregular singularities. 92h:34013 

Li, Ji Bin see Liu, Yi Rong; et al., 92j:34009 

Lin, Ch’ing Ho A locally prescribed Stokes phenomenon. 92g:34005 

Lin, Yong Meromorphic solutions to several classes of typical nonlinear ordinary differential 
equations. II. (Chinese. English summary) 92h:34014 

— see also He, Yu Zan; et al., 92h:34011 

Liu, Yi Rong Formulas of values of singular point and the integrability conditions for a class 
of cubic system, M(3) > 7. 92¢:34004 

— (with Li, Ji Bin) Theory of values of singular point in complex autonomous differential 
systems. 92j:34009 

Lutsevich, Zh. A. On a theory of second-order differential equations whose general integral 
has no moving critical points. (Russian) 92k:34004 

Martynov, I. P. (with Pron’ko, V. A.) Single-valued solutions of a class of differential 
equations. (Russian) 92d:34015 

Masterson, John T. see Kuiken, Kathryn, 92b:34014 

Mokhon‘ko, V. D. (with Gorbachevskii, A. E.) Meromorphic solutions of first-order 
differential equations. (Russian) 92j:34010 

Novokshénov, V. Yu. The Boutroux ansatz for the second Painlevé equation in the complex 
domain. (Russian) 92c:34006 

Pron’ko, V. A. see Martynov, I. P., 92d:34015 

Pushkevich, G. E. (with Yablonskii, A. I.) Moving singular points of systems of differential 
equations that describe genetic models. (Russian) 92h:34015 

Puttaswamy, T. K. Solution in the large of a certain Nth order differential equation. 
92h:34016 

Rajovi¢, Miloje (with Dimitrovski, Dragan) Sur la méthode de l’intégrale généralisée de 
Laplace appliquée aux équations aréolaires linéaires. (Serbo-Croatian summary) [The 
Laplace generalized-integral method applied to linear areolar equations] 92i:34006 

Reich, Ludwig Uber verallgemeinerte Differentialgleichungen von Aczél-Jabotinsky im 
komplexen (Parameterabhangigkeit und holomorphe Fortsetzung von Integralen). 
(English summary) {On generalized differential equations of Aczél and Jabotinsky in the 
complex domain (parameter dependence and holomorphic continuation of integrals)] 
92k:34005 

Romaguera, Salvador see Antonino, José A., 92d:34010 and (92b:00044) 

Rubel, Lee A. Quotients of solutions of linear algebraic differential equations. 92b:34016 

Sadler, Charles see Klarés, Bernard, 92m:34013 

Salmassi, Mohammad Entire solutions of nonhomogeneous differential equations. 
92j:34011 

Schiafke, R. (with Volkmer, H.) On the formal fundamental solution of a differential 
equation depending on a parameter. 92f:34005 

Shimomura, Shun On solutions of the fifth and the third Painlevé equations on the positive 
real axis. (see 92m:00039) 

Sibuya, Yasutaka Two-point connection problems and the method of K. Okubo. (see 
92m:00038) 

— * Linear differential equations in the complex domain: problems of analytic continuation. 
92a:34010 

— Gevrey asymptotics and Stokes multipliers. 92j:34012 

Steinmetz, Norbert Linear differential equations with exceptional fundamental sets. 
92m:34014 

Takano, Kyoichi The fixed singular points of Painlevé systems. (see 92m:00039) 

Tan, Yue Wu Meromorphic solutions to a class of ordinary differential equations with 
rational coefficients. (Chinese. English summary) 

— Meromorphic solutions to a class of ordinary differential equations with rational 
coefficients. (Chinese. English summary) 92g:34006 

Tareev, V. P. see Leontovich, E. A., 92b:34015 

Tovbis, A. I. Normal forms of singular differential operators and the corresponding normal 
forms of holomorphic matrix functions. (Russian) (see 92a:00033) 

— see also Krein, S. G., 92e:34003 

Urabe, Hironobu (with Yang, Chung-chun') On factorization of entire functions satisfying 
differential equations. 92g:34007 

Volkmer, H. see Schiafke, R., 92f:34005 

Wagenfihrer, Ekkehard Regular solutions of a system of linear differential equations at a 
singular point. (see 92m:00038) 

Wang, Shu Pei Complex oscillation properties of solutions to the equation f” + P(z) f’ + 





467 1992 


Q(z)f =0. (Chinese. English summary) 92a:34011 

Yablonskii, A. I. see Pushkevich, G. E., 92h:34015 

Yang, Chung-chun! see Urabe, Hironobu, 92g:34007 

Zinchenko, I. L. Poincaré’s recurrence theorem for complex analytic systems. (Russian) 
92h:34017 

Zou, Xiu Lin see He, Yu Zan; et al., 92h:34011 

Zou, Zhong Zhu Analytic solutions to Briot-Bouquet differential equations. (Chinese. 
English summary) 92e:34005 


Items with secondary classifications in 34A20 

Ablowitz, Mark J. Painlevé equations and the inverse scattering and inverse monodromy 
transforms. 92¢:35147 

Airault, Hélene Two asymptotic expansions: solutions of v” = Av’ + v" — v and solutions of 
P(dP/dv) =AP + v" — v. (see 92m:00040) 

Babbitt, D.G. (with Varadarajan, V.S.) Formal reduction of meromorphic differential 
equations containing a parameter. 92i:32023 

Baider, Alberto (with Churchill, Richard C.) On monodromy groups of second-order 
Fuchsian equations. 924:33034 

Bolibrukh, A. A. Construction of a Fuchsian equation from a monodromy representation. 
(Russian) 924:14008 

— The Riemann-Hilbert problem. (Russian) 92j:14014 

Bunyakin, A. V. Singular points of the solution of the Lorenz system of differential 
equations. (Russian) 92j:34054 

Calafiore, S. (with Santoro, P.) Polynomial flows in complex fields. (Italian. English 
summary) 92i:58147 

Can, Mehmet see Khan, Tariq M., 92b:34005 and 92b:34006 

Cerveau, Dominique Résultats de type Artin pour les systtmes dynamiques holomorphes. 
[Artin-type results for holomorphic dynamical systems] 92f:32067 

Churchill, Richard C. (with Rod, David L.) On the determination of Ziglin monodromy 
groups. 92m:32038 

— see also Baider, Alberto, 924:33034 

Coomes, Brian (with Zurkowski, Victor) Linearization of polynomial flows and spectra of 
derivations. 92m:34002 

Dimovski, Ivan H. (with Vasilev, Mladen V.) New representations of commutants of 
powers of the differentiation operator. 92g:47036 

Ecalle, Jean P. Finitude des cycles-limites et accéléro-sommation de l’application de retour. 
[Finiteness of limit-cycles and accelero-summation of the return mapping] 92e:58166 

Fedoryuk, M. V. Isomonodromic deformations of equations with irregular singularities. 
(Russian) 92¢:32025 

Flessas, G. P. (with Leach, P. G. L.) A completely integrable case in the complex Lorenz 
equations. 92i:34004 

Fordy, Allan P. (with Pickering, Andrew) Analysing negative resonances in the Painlevé 
test. 92k:58108 

Gavrilov, Ljubomir (with Khorozov, E. 1.) Limit cycles and zeroes of abelian integrals 
satisfying third order Picard-Fuchs equations. 92e:58167 

Gorina, O. V. Solvability of a differential equation with constant coefficients in classes of 
analytic functions with given estimates for the derivatives. (Russian) (see 92f:00019) 

Hinkkanen, A. (with Rossi, John) Schwarzian derivatives and zeros of solutions to second 
order linear differential equations. 92b:34046 

Ilyashenko, Yu. S. (with Khovanskii, A.G.) Galois groups, Stokes operators and a theorem 
of Ramis. (Russian) 92£:32038 

Iwasaki, Katsunori (with Kimura, Hironobu; Shimomura, Shun; Yoshida, Masaaki) 
* From Gauss to Painlevé. 92j:33001 

— Moduli and deformation for Fuchsian projective connections on a Riemann surface. 
92m:32039 

Khan, Tariq M. (with Can, Mehmet) The initial value problem and some special solutions 
of the fourth Painlevé equation. (Turkish summary) 92b:34005 

— (with Can, Mehmet) On the special solutions of the second Painlevé equation. (Turkish 
summary) 92b:34006 

Khorozov, E.I. see Gavrilov, Ljubomir, 92e:58167 

Khovanskii, A. G. see Il'yashenko, Yu. S., 92f:32038 

Kimura, Hironobu see Iwasaki, Katsunori; et al., 92j:33001 

Konyaev, Yu. A. Sufficient conditions for the stability of solutions of some classes of 
ordinary differential equations in critical cases. (Russian) 92a:34051 

Kozubovskaya, I.G. Periodic solutions of some systems of nonlinear differential equations. 
(Russian) 92h:34083 

Kozulin, A. V. A third-order equation with a special particular integral. (Russian) 
92m:34023 

Kuzyk, A. D. (with Sheremeta, M. N.) Entire functions that satisfy linear differential 
equations. (Russian) 92b:30031 

Lakshmanan, M. see Parthasarathy, S., 92c:70025 

Leach, P. G. L. see Flessas, G. P., 92i:34004 

Makar'ina, I. A. Rational solutions of the Riccati equation. (Russian) 92h:34004 

Makhlouf, Amar (with Nahon, Fernand) On a family of Hill’s equations in the complex 
field. (French summary) 92k:70019 

Malgrange, B. * Equations différentielles a coefficients polynomiaux. (French) [Differential 
equations with polynomial coefficients] 92k:32020 

Markov, S. N. On the behavior of solutions of a second-order system of special type near 
moving singular points. (Russian) (see 92f:00018) 

Mitschi, Claude Differential Galois groups and G-functions. 92e:12006 

Nahon, Fernand see Makhlouf, Amar, 92k:70019 

Parthasarathy, S. (with Lakshmanan, M.) On the analytic structure of the driven 
pendulum. 92¢:70025 

Pickering, Andrew see Fordy, Allan P., 92k:58108 

Rod, David L. see Churchill, Richard C., 92m:32038 

Romanovskii, V.G. The properties of an ideal that is generated by Lyapunov quantities. 
(Russian) 92h:58164 

Rossi, John see Hinkkanen, A., 92b:34046 

Rovnyak, James A vector extension of Loewner’s differential equation. 92h:30016 

Santoro, P. see Calafiore, S., 92i:58147 


34A General theory 


34A25 


Sasaki, Takeshi (with Yoshida, Masaaki) Tensor products of linear differential equations. 
II. New formulae for the hypergeometric functions. 92h:32040 

Sheremeta, M. N. see Kuzyk, A. D., 92b:30031 

Shimomura, Shun see Iwasaki, Katsunori; et al., 92j:33001 

Varadarajan, V.S. Meromorphic differential equations. 92i:32024 

— see also Babbitt, D. G., 92i:32023 

Vasilev, Mladen V. see Dimovski, Ivan H., 92g:47036 

Wang, Duo Hopf bifurcation at the nonzero foci in 1:4 resonance. 92d:58157 

Yakushina, I. N. The asymptotics of solutions of nth-order linear differential equations with 
two turning points. (Russian. English summary) 924:34117 

Yoshida, Masaaki see Sasaki, Takeshi, 92h:32040 and Iwasaki, Katsunori; et al., 92j:33001 

Zarkowski, Victor see Coomes, Brian, 92m:34002 


Items listed otherwise than by author 
Colloquium: 

Theory of Differential Equations in the Complex Field * Equations différentielles 
dans le champ complexe. Vol. I. [Differential equations in the complex field. Vol. I] 
92m:00038 

Differential equations in the complex field * Equations différentielles dans le champ 
complexe. Vol. I. [Differential equations in the complex field. Vol. I] 92m:00038 

Equations différentielles dans le champ complexe * Equations différentielles dans le champ 
complexe. Vol. I. [Differential equations in the complex field. Vol. I] 92m:00038 

Strasbourg * Equations différentielles dans le champ complexe. Vol. I. [Differential 
equations in the complex field. Vol. I] 92m:00038 


34A25 Analytical theory: series, transformations, transforms, 
operational calculus, etc. [see also 44-XX, 47E05] 


Al-Bassam, M. A. On solutions of some classes of differential equations of Riemann- 
Papperitz type and the extension of Riemann P-function. 92m:34015 

Alymkulov, E. D.-A. * O60c06 p 1x B OGo6mleHHBIX cucTemax JloTKH- 
Boasteppa. (Russian) [Isolation of variables in generalized Lotka-Volterra systems] 
92b:34017 

Astrelin, A. V. An estimate for the degree of irreducible eigenpolynomials of a differential 
operator of a certain type. (Russian) 92d:34016 

Athorne, Chris (with Nimmo, J. J.C.) Darboux theorems and factorization of second- and 
third-order ordinary differential operators. 92j:34014 

Baumann, Gerd (with Freyberger, M.) Generalized symmetries and conserved quantities of 
the Lotka-Volterra model. 92g:34008 

BeneS, Karel Analog solution of a given problem in the back time. (Russian and Czech 
summaries) 

Berkovich, L.M. (with Gerdt, V. P.; Kostova, Z. T.; Nechaevskii, M. L.) * Computer 
algebra generating related 2nd order linear differential equation. 92¢:34006 

Cooper, K. D. (with Cooper, S. Clement; Jones, William B.) More on C-fraction solutions 
to Riccati equations. 92b:34018 

Cooper, S. Clement see Cooper, K. D.; et al., 92b:34018 

Duarte, L.G.S. see Euler, N.; et al., 92d:34017 

Euler, N. (with Steeb, Willi-Hans; Duarte, L. G. S.; Moreira, I. C.) Invertible point 
transformations, Painlevé test, and the second Painlevé transcendent. 92d:34017 

Exton, Harold On the biconfluent Heun equation. 92h:34018 

Freyberger, M. see Baumann, Gerd, 92g:34008 

Gerdt, V. P. see Berkovich, L. M.; et al., 92¢:34006 

Guo, Fu Kui A method for solving a class of polynomial differential equations. (Chinese. 
English summary) 924:34018 

Jones, William B. see Cooper, K. D.; et al., 92b:34018 

Khapalyuk, A. P. Solutions of the Bessel equation. (Russian) 92f:34006 

Kostova, Z.T. see Berkovich, L. M.; et al., 92¢:34006 

Miller, Kenneth S. (with Ross, Bertram) Fractional Green’s functions. 92h:34019 

Moreira, I. C. see Euler, N.; et al., 92d:34017 

Nechaevskii, M. L. see Berkovich, L. M.; et al., 92¢:34006 

Neuman, Frantisek Ordered groups, commuting matrices and iterations of functions in 
transformations of differential equations. 92m:34016 

Nimmo, J. J.C. see Athorne, Chris, 92j:34014 

Pap, Endre (with Takati, Djurdjica) On linear differential equations in spaces of locally 
integrable functions and of Mikusinski operators. 92k:34006 

Rivero Alvarez, Margarita see Trujillo, Juan J., (92b:00044) 

Rosi¢, Nikola (with Vutkovié, Miroslav) On a characteristic of the unknown function 
linear transformation. (Serbo-Croatian summary) 92g:34009 

— On the method of differential combination. (Serbo-Croatian summary) 92e:34009 

— see also Starc, Zdravko F., 92e:34008 

Ross, Bertram see Miller, Kenneth S., 92h:34019 

Saakyan, B. A. Solutions of some differential equations of fractional order. (Russian. 
English and Armenian summaries) 92¢:34007 

Sharkawi, I. E. The formal solution of a system of operator differential equations. 
92£:34007 

Starc, Zdravko F. (with Rosi¢é, Nikola) Some applications of Pejovi¢’s-Erugin’s substi- 
tution on the linear differential equations of second order. (Serbo-Croatian summary) 
92e:34008 

Steeb, Willi-Hans see Euler, N.; et al., 92d:34017 

Stepanova, T. V. Representations of TO-solutions of the Bendixson equation with a quasi- 
analytic right-hand side. (Russian) 92j:34015 

Takati, Djurdjica see Pap, Endre, 92k:34006 

Tesatikova, Eva To the theory of global transformation of the second order linear 
differential equations of finite type, special. (Russian and Czech summaries) 92):34016 

Trujillo, Juan J. (with Rivero Alvarez, Margarita) An application of Riemann-Liouville 
fractional operators to ordinary differential equations. (Spanish. English summary) (see 
92b:00044) 

Voskresenskii, E. V. Classifications of differential equations. (Russian) 92m:34017 

Vutkovi¢, Miroslav see Rosi¢, Nikola, 92g:34009 








34A25 


Items with secondary classifications in 34A25 

Adomian, George A. (with Rach, R.C.) Nonlinear transformation of series. II. 

Cooke, Kenneth L. see Wiener, Joseph; et al., 92k:34010 

Derevenskii, V. P. The Lie algebraic method for integrating some forms of nonlinear 
differential systems. (Russian) (see 92f:00018) 

Exton, Harold The interaction V(r) = —Ze?/(r + #) and the confluent Heun equation. 
92i:81040 

— The doubly confluent Heun equation: a differential equation associated with the naked 
singularity in cosmology. (Italian summary) 92m:34046 

Fényes, Tamas On an operational differential equation. 92k:44007 

Gear, C. W. see Keiper, J. B., 92a:65228 

Gonzalez-Gascén, Francisco (with Gonzalez-Lépez, Artemio) Dynamical symmetries and 
integration of differential equations. 92e:34012 

Gonzalez-Lépez, Artemio see Gonzdlez-Gascoén, Francisco, 92e:34012 

Kamran, Niky Contributions to the study of the equivalence problem of Elie Cartan and its 
applications to partial and ordinary differential equations. (French summary) 92h:58008 

Keiper, J. B. (with Gear, C. W.) The analysis of generalized backward difference formula 
methods applied to Hessenberg form differential-algebraic equations. 92a:65228 

Kierat, Wiadysiaw Parametric solutions of differential equations. (see 92d:30002) 

Kitaev, A. V. Quadratic transformations for the sixth Painlevé equation. 92d:34014 

Leach, P.G. L. see Mahomed, F. M., 92i:58163 

Mahomed, F. M. (with Leach, P. G. L.) Contact symmetry algebras of scalar second-order 
ordinary differential equations. 92i:58163 

Malamud, M. M. On transformation operators for ordinary differential equations. 
(Russian) 92£:34076 

Moreira, I.C. (with Ritter,O.M.) Lie symmetries and invariants for the time-dependent 
generalizations of the equation R + C;R"L+ C,R"R=0. 924:34033 

Nishimoto, Katsuyuki * An essence of Nishimoto’s fractional calculus. 924:26013 

Peschel, Manfred Generalized exponentials and dynamical networks. 92d:34035 

Profilo, Gabriella (with Soliani, Giulio) Noether invariants and complete Lie-point 
symmetries for equations of the Hill type. 92¢:58153 

Rach, R.C. see Adomian, George A. 

Ritter,O.M. see Moreira, I. C., 92d:34033 

Sachdev, P. L. * Nonlinear ordinary differential equations and their applications. 
92i:34010 

Schiifke, R. (with Volkmer, H.) On the formal fundamental solution of a differential 
equation depending on a parameter. 92f:34005 

Shah, Swarupchand M. see Wiener, Joseph; et al., 92k:34010 

Soliani, Giulio see Profilo, Gabriella, 92c:58153 

Volkmer, H. see Schiafke, R., 92f:34005 

Votava, Milan The second generalized phase, and the polar and Radon function of a second- 
order linear differential equation. (Czech. English summary) 924:34021 

Wiener, Joseph (with Cooke, Kenneth L.; Shah, Swarupchand M.) Coexistence of analytic 
and distributional solutions for linear differential equations. II. 92k:34010 

Wiener, Klaus Lésungen inhomogener Differentialgleichungen mit Ableitungen von 
nichtganzzahliger Ordnung. IV. [Solutions of inhomogeneous differential equations with 
derivatives of nonintegral order. IV] 92i:34012 


34A26 Geometric methods in differential equations 


Voit, Eberhard O. Symmetries of S-systems. 92m:34018 
Zelikin, M.1. On the theory of the matrix Riccati equation. (Russian) 92g:34010 


Items with secondary classifications in 34A26 


Cariiiena, José F. (with Lopez Lacasta, Carlos; Martinez, Eduardo) Sections along a map 
applied to higher-order Lagrangian mechanics. Noether’s theorem. 92m:58041 

Gonzalez-Lépez, Artemio (with Kamran, Niky; Olver, Peter J.) Lie algebras of vector fields 
in the real plane. 92m:17038 

Guggenheimer, H. Applications of the theory of generalized differential equations. 
92m:34047 

Helmke, Uwe Isospectral flows on symmetric matrices and the Riccati equation. 92c:58048 

Ibragimov, N. Kh. * Onsit rpynnosoro aHanu3a OObIKHOBeHHBIX DHdbepeniMaNbHBIX 
ypabrenuit. (Russian) [The experience of group analysis of ordinary differential 
equations] 92i:34001 

Kamran, Niky see Gonzdlez-Lépez, Artemio; et al., 92m:17038 

Krause, Jorge (with Michel, Louis) Classification of the symmetries of ordinary differential 
equations. 92m:58119 

Leach, P.G. L. see Mahomed, F. M., 92i:58163 

Lépez Lacasta, Carlos see Cariiiena, José F.; et al., 92m:58041 

Mahomed, F. M. (with Leach, P.G. L.) Contact symmetry algebras of scalar second-order 
ordinary differential equations. 92i:58163 

Marsden, J.E. (with O’Reilly, O. M.; Wicklin, F. J.; Zombro, B. W.) Symmetry, stability, 
geometric phases, and mechanical integrators. I. 92e:58072 

Martinez, Eduardo see Carifiena, José F.; et al., 92m:58041 

Meboniya, I. D. Reduction of strongly reducible fifth-order differential systems to the 
structure of a stable nonlinear connection. (Russian) 

Michel, Louis see Krause, Jorge, 92m:58119 

Nadirashvili, N.S. Les systemes dynamiques uniformément monotones. (English summary) 
[Uniformly monotone dynamical systems] 92g:34057 

Nakamura, Yoshimasa Geometry of rational functions and nonlinear integrable systems. 
92k:58121 

Olver, Peter J. see Gonzalez-Lépez, Artemio; et al., 92m:17028 

O'Reilly, O. M. see Marsden, J. E.; et al., 92e:58072 

Wicklin, F. J. see Marsden, J. E.; et al., 92e:58072 

Zombro, B. W. see Marsden, J. E.; et al., 92e:58072 


34A30 Linear equations and systems 


Adams, Ernst Wilhelm (with Cordes, D.; Keppler, H.) Enclosure methods as applied to 
linear periodic ODEs and matrices. (German and Russian summaries) 92a:34012 


ORDINARY DIFFERENTIAL EQUATIONS 


Andersen, Kurt Munk see Sandgqvist, Allan, 92i:34008 

Baraniski, Feliks Construction of the system of linear independent integrals for the product 
of the second order differential operators. (Polish summary) (see 92c:00013) 

Cooke, Kenneth L. see Wiener, Joseph; et al., 92k:34010 

Cordes, D. see Adams, Ernst Wilhelm; et al., 92a:34012 

Diblik, Josef On existence of d-bounded solutions of a nonhomogeneous linear system of 
differential equations. 92i:34007 

Falko, N.S. On the non-almost reducible Hill equation with almost-periodic coefficients. 
(Russian. English and Moldavian summaries) 92h:34020 

Gass6, Maite see Hernandez, Vicente G., 92g:34011 

Gasymov, E. A. Asymptotic formulas and an inversion formula for solutions of some linear 
differential systems of equations with a parameter. (Russian. English and Azerbaijani 
summaries) 924:34019 

Glavan, V. A. On linear almost periodic differential systems with Favard-type conditions. 
(see 92m:49004) 

Harte, Robin Exactness in elementary differential equations. 

Hernandez, Vicente G. (with Gass6, Maite) Factorization of matrix polynomials in the 
solution of nonmonic matrix differential equations. 92g:34011 

Hong, Jia Lin Exponential trichotomy and uniformly characteristic exponents of differen- 
tial systems. 92k:34007 

Izobov, N. A. (with Stepanovich, O. P.) Properties of the coefficient of nonregularity of 
linear systems. (Russian) 92¢:34007 

— (with Prokhorova, R. A.) On the Conti problem for intersections of sets L’S of linear 
systems. (Russian) 92¢:34010 

Jédar, Lucas Approximate solutions and error bounds for solving matrix differential 
equations without increasing the dimension of the problem. 92m:34019 

— (with Navarro, Enrique) Solving coupled systems of linear second-order differential 
equations knowing a part of the spectrum of the companion matrix. 92m:34020 

Keppler, H. see Adams, Ernst Wilhelm; et al., 92a:34012 

Kibenko, A. V. Application of asymptotic equilibrium to the solution of a two-point 
problem with a parameter on the half-axis. (Russian) 92h:34021 

Kulik, A. N. see Kulik, V. L., 92h:34022 

Kulik, V. L. (with Kulik, A. N.) On the existence of sign-variable Lyapunov functions for 
linear systems of differential equations. (Russian) 92h:34022 

Laitoch, Miroslav Associated differential equation to a selfadjoint third-order linear 
differential equation. (Russian and Czech summaries) 92k:34008 

Ligeza, Jan The distributional solutions of some systems of linear differential equations. 
92b:34019 

Lin, Fa Xing On the relationship between exponential dichotomies and Fredholm operator. 

Makarov, E. K. A remark on sets of nonregularity of almost periodic linear differential 
systems. (Russian) 92a:34013 

— On acriterion for joint behavior of higher sigma exponents of a triangular system and the 
system of its diagonal approximation. (Russian) 92g:34012 

Mazanik, S. A. An exponential representation of solutions of a linear matrix differential 
equation. (Russian) 92f:34008 

Mieloszyk, Eligiusz About solving some abstract linear differential equations. (see 
924:30002) 

Navarro, Enrique see Jédar, Lucas, 92m:34020 

Neumann, Michael (with Tsatsomeros, Michael J.) Symbiosis points for linear differential 
systems. 924:34020 

Pakholok, B. B. see Tatsii, R. M., 92c:34008 

Parnev, I. V. Some problems of integration in closed form and of the stability of systems of 
differential equations. (Russian) (see 92e:60011) 

Pieniazek, Alicja The fundamental solutivn for certain class of fourth order iterated 
ordinary differential equations. (Polish summary) (see 92c:00013) 

Prokhorova, R. A. see Izobov, N. A., 92e:34010 

Przeworska-Rolewicz, Danuta Smooth solutions of linear equations with scalar coefficients 
in a right invertible operator. (see 92b:90012) 

Ross, Clay C., Jr. Why the method of undetermined coefficients works. 92j:34017 

Sandgqvist, Allan (with Andersen, Kurt Munk) On the number of closed solutions to an 
equation x = f(t, x), where fyn(t, x) >0 (n= 1,2, or 3). 92i:34008 

Shah, Swarupchand M. see Wiener, Joseph; et al., 92k:34010 

Shapiro, Victor L. One-sided conditions for quasilinear Jacobi differential equations. 
92b:34020 

Stepanovich, O. P. see Izobov, N. A., 92¢:34007 

Tatsii, R. M. (with Pakholok, B. B.) On the order of generalized functions in the right-hand 
sides of differential equations. (Russian. English summary) 92c:34008 

Tkachenko, V.I. On the reducibility of a nondichotomous linear quasiperiodic system. 
(Russian) 92k:34009 

Trenéevski, Kostadin On the solution of arbitrary system of linear differential equations. 
(Macedonian summary) 

Tsatsomeros, Michael J. see Neumann, Michael, 92d:34020 

Votava, Milan The second generalized phase, and the polar and Radon function of a second- 
order linear differential equation. (Czech. English summary) 924:34021 

Wang, Xi Zhen A method for solving linear systems of equations with special generalized 
circulant matrices. (Chinese. English summary) 92m:34021 

Wiener, Joseph (with Cooke, Kenneth L.; Shah, Swarupchand M.) Coexistence of analytic 
and distributional solutions for linear differential equations. II. 92k:34010 

Xie, Qing Xiang Boundedness conditions of nth order nonhomogeneous linear differential 
equations in terms of Green functions. 92j:34018 

Zaghrout, Afaf A.S. On generalized Floquet theory. 92¢:34009 

Zeng, Wei Yao Existence and estimates of roughness of dichotomies. (Chinese) 92b:34021 

Zubov, V.1. Integrators of differential equations. (Russian) 92k:34011 





Items with secondary classifications in 34A30 


Abakirov, T. Sh. Auxiliary exponents of exponentially separated systems. (Russian) 
922:34061 

Afyan, S. K. A system of ordinary differential equations of noncanonical form. I. (Russian. 
English and Armenian summaries) 92¢:34002 





469 1992 


Anokhin, A. V. (with Braverman, E. Ya.) Linear impulsive functional-differential 
equations. (Russian) 92b:34073 

Ashirov, O. A. Preservation of stability in impulse systems. (Russian) 92m:34026 

Bainov, Drumi D. (with Kostadinov, St. I.; Myshkis, A. D.) Properties of the L,-solutions 
of linear impulsive equations in a Banach space. 92g:34078 

— see also Milev, N. V., 92j:34024 and 92j:34025 

Bank, Steven B. On the oscillation theory of periodic linear differential equations. 
924:34012 

— On oscillation, continuation, and asymptotic expansions of solutions of linear differential 
equations. 92j:34005 

Beklemisheva, L. A. Application of matrix coefficient functions to some problems in 
mathematical analysis. (Russian) 92a:15023 

Bravermen, E. Ya. see Anokhin, A. V., 92b:34073 

Bugir, M. K. Some properties of nonoscillatory solutions. (Russian) 92c¢:34038 

Bulgakov, A. Ya. Justification of guaranteed accuracy for identifying invariant subspaces of 
nonselfadjoint matrices. (Russian) 92¢:65052a 

— The basis of guaranteed accuracy in the problem of separation of invariant subspaces for 
nonselfadjoint matrices. I [translation of Trudy Inst. Mat. (Novosibirsk) 15 (1989), Chisl. 
Anal., 12-93; MR 92c:65052a]. 92c:65052b 

Cao, Qing Jie (with Xiong, Kai Qi) On the partial asymptotic stability for the linear time- 
varying systems. 92a:34046 

Chernyshov, K. I. On the asymptotics of the solution of a linear reduced equation. (Russian) 
92m:34124 

Conti, Roberto Errata: “Linear ordinary differential equations of class L’?S”. 92d:34100b 

Corduneanu, Adrian The equation y” + Q(x)y = f(x) with “small” Q and f. (Romanian 
summary) 92a:34036 

Craciunas, P.T. see Mangeron, Dumitru Ion; et al. 

Derevenskii, V. P. Solvability in quadratures of second-order matrix differential equations. 
(Russian) 92m:34003 

— Solvability in quadratures of third-order linear ordinary differential equations in the 
adjoint representation of Lie algebras. (Russian) 92m:34004 

DoSly, Ondiej On the existence of conjugate points for linear differential systems. (Russian 
summary) 92a:34028 

— On some problems in the oscillation theory of selfadjoint linear differential equations. 
92b:34045 

Duval, Anne The Kovacic algorithm with applications to special functions. 92i:34038 

Dzhumabaev, D.S. Approximation of a bounded solution, and exponential dichotomy on 
the line. (Russian) 92j:34028 

Exton, Harold The doubly confluent Heun equation: a differential equation associated with 
the naked singularity in cosmology. (Italian summary) 92m:34046 

Gonzalez, Patricio Dimension of the vector space of analytic solutions of certain singular 
differential equations. 92b:34012 

Grigor’ev, D. Yu. Complexity of the recognition of the irreducibility of a system of linear 
ordinary differential equations. (Russian. English summary) 92f:12011 

Hayek Calil, Nacere * Tablas de ecuaciones diferenciales integrables mediante funciones de 
Bessel-Clifford. (Spanish) [Tables of differential equations that are integrable via Bessel- 
Clifford functions] 92b:33007 

Hoang Hi’uDuw’o’ng (with Nguyén Van Minh) Singularities of the stability frontier of 
generic families of linear differential equations. 92d:58015 

Hu, Shi Geng A comparison criterion for stability of linear systems. (Chinese. English 
summary) 92k:34058 

Ilarionova, O. G. Stability of the kth central exponent of a linear system of differential 
equations. (Russian) 92k:34062 

Ivanov, B. F. Conditions for the boundedness of solutions of some linear systems. (Russian) 
92a:34031 

Izé, A. F. Lyapunov numbers for a countable system of ordinary differential equations. 
92m:34134 

Izobov, N. A. (with Stepanovich, O. P.) Exponentially decreasing perturbations that 
preserve the characteristic exponents of a linear diagonal system. (Russian) 92a:34047 

— Characteristic exponents of linear sy with Grob perturbations. (Russian) 
92¢:34053 

— On the existence of Grobman spectral sets of positive measure for linear systems. 
(Russian) 92k:34063 

Jédar, Lucas (with Navarro, Enrique) Rectangular co-solutions of polynomial matrix 
equations and applications. 92¢e:15022 

— (with Navarro, Enrique) Solving boundary value problems for the matrix equation 
X)(t) — AX(t) = F(t). 92k:34018 

— see also Legua Fernandez, Matilde, (92b:00044) 

Johnson, C. D. see Zhu, Jianchao, 92b:15024 

Korobeinik, Yu. F. Nontrivial expansions of zero in absolutely representing systems. 
Applications to convolution operators. (Russian) 92m:34024 

Kostadinov, St. I. see Bainov, Drumi D.; et al., 92g:34078 

Krall, Allan M. Direct decomposition of M(A) matrices for Hamiltonian systems. 
924:34055 

— The decomposition of M(A) surfaces using Niessen’s limit circles. 92g:34029 

Krein, S.G. (with Tovbis, A. I.) Linear singular differential equations in finite-dimensional 
and Banach spaces. (Russian) 92e:34003 

Kulik, V. L. see Mitropol’skii, Yu. A.; et al., 92m:34001 

Kurbanshoev, S. Z. Stability of solutions of a linear system of differential equations with 
impulse actions. (Russian. Tajiki summary) 

Legua Fernandez, Matilde (with Jédar, Lucas) Matrix boundary value problems: approxi- 
mate solutions and error bounds. (Spanish. English summary) (see 92b:00044) 

Lei, Ming Rong Stability of time-varying linear systems. (Chinese. English summary) 
92m:34119 

Lenyuk, M. P. see Mangeron, Dumitru Ion; et al. 

Levelt, A. H. M. Stabilizing differential operators. A method for computing invariants at 
irregular singularities. 92h:34013 

Li, Jun Ru (with Tu, Bo Xun) Stability of compound systems of ordinary linear differential 
equations. (Chinese. English summary) 92m:34121 

Lin, Fa Xing Almost-automorphic structurally stable [structural stability] of almost- 





34A General theory 


automorphic differential equations. 92g:34065 

Lin, Zhen Sheng Theory of linear systems. 92a:34037 

Lébus, Jérg-Uwe Generalized second order differential operators. 92m:60064 

Lachik, V. E. A truncation method for linear equations with impulses in a space of bounded 
numerical sequences. (Russian) 92f:34009 

Mambriani, Giuseppe Determining differential equations and their solutions, and the 
possibility of constructing an active data base for them. (Italian. English summary) 
92:34002 

Mangeron, Dumitru Ion (with Lenyuk, M. P.; Craciunas, P. T.) Differential systems that 
generate classes of functions and their applications. III. Fourier-Hankel hybrid integral 
transformations of the second kind on a right-bounded axis and their applications to 
problems in mathematical physics. (Russian. French summary) 

Marz, Roswitha Analysis and numerical treatment of differential-algebraic systems. 
92h:34008 

Mieloszyk, Eligiusz Boundary value problems for an abstract differential equation. 
92k:47025 

Milev, N. V. (with Bainov, Drumi D.) Ordinary dichotomy and perturbations of the 
coefficient matrix of the linear impulsive differential equation. 92j:34024 

— (with Bainov, Drumi D.) Dichotomies for linear impulsive differential equations with 
variable structure. 92j:34025 

Mirzoev, K. A. Conditions for the existence of solutions of quasidifferential equations that 
do not belong to the space ?(0,+00). (Russian) 92j:34049 

Mitropol'skii, Yu. A. (with Samoilenko, A. M.; Kulik, V. L.) * Mccnegosanusa 2HxXOTOMHH 
JIMHeHHBIX CHCTeM DuepenlHaNbHbIX ypaBHeHHA C NOMOUIbIO byHkKuHA JianyHosa. 
(Russian) [Studies in the dichotomy of linear systems of differential equations by means 
of Lyapunov functions] 92m:34001 

Myshkis, A. D. see Bainov, Drumi D.; et al., 92g:34078 

Navarro, Enrique see Jédar, Lucas, 92e:15022 and 92k:34018 

Neumann, Michael (with Stern, Ronald Jay; Tsatsomeros, Michael J.) The reachability 
cones of essentially nonnegative matrices. 92b:15030 

Nguyén-Dinh Cong Auxiliary and central exp of linear systems with coefficients that 
are perturbed by white noise. (Russian) 92b:34065 

Nguyén Van Minh see Hoang Hi’u-Du’d’ng, 924:58015 

Pavlikova, Elena A remark on higher monotonicity properties of certain Sturm-Liovville 
functions. (Slovak. English, German and Russian summaries) 92¢:34060 

Pogorelov, D. Yu. Iterative methods for investigating parametrically perturbed linear 
dynamical systems. (Russian) 92j:70020 

Race, D. (with Zettl, Anton) On the commutativity of certain quasidifferential expressions. 
I. 92h:34163 

Rosié¢, Nikola (with Vutkovi¢, Miroslav) On a characteristic of the unknown function 
lirear transformation. (Serbo-Croatian summary) 92g:34009 

— On the method of differential combination. (Serbo-Croatian summary) 92¢:34009 

— see also Starc, Zdravko F., 92e:34008 

Rozhkov, V.1. Periodic solutions of linear singularly perturbed systems with certain 
singularities. (Russian) 92k:34050 

Rubel, Lee A. The differential equation y’” = 0 revisited. 924:34036 

Saakyan, B. A. Solutions of some differential equations of fractional order. (Russian. 
English and Armenian summaries) 92¢:34007 

Samoilenko, A. M. see Mitropol’skii, Yu. A.; et al., 92m:34001 

Schwabik, Stefan The Perron product integral and generalized linear differential equations. 
(Czech summary) 924:26020 

Singer, Michael F. Liouvillian solutions of linear differential equations with Liouvillian 
coefficients. 92b:12011 

Singh, Shambhoo Nath On a second order matrix differential operator. 

Skorokhod, I. V. On the limit behavior of an oscillatory system in the presence of random 
perturbations of parameters of this system. II. (Russian. Ukrainian summary) 92b:34066 

Starc, Zdravko F. (with Rosi¢é, Nikola) Some applications of Pejovi¢’s-Erugin’s substi- 
tution on the linear differential equations of second order. (Serbo-Croatian summary) 
92e:34008 

Steinmetz, Norbert Linear differential equations with exceptional fundamental sets. 
92m:34014 

Stepanovich, O. P. see Izobov, N. A., 92a:34047 

Stern, Ronald Jay see Neumann, Michael; et al., 92b:15030 

Tovbis, A. I. see Krein, S. G., 92e:34003 

Tsatsomeros, Michael J. see Neumann, Michael; et al., 92b:15030 

Tu, Bo Xun see Li, Jun Ru; et al., 92m:34121 

Vekua, N. P. * Hexotoppie sonpocsi Teopun 2udepenHasbHbIX ypaBHeHHA H NpHIOKeHHA 
B Mexanuke. (Russian) {Some problems in the theory of differential equations and 
applications in mechanics] 92h:70001 

Vinograd, Robert E. Exact bounds for exponential dichotomy roughness. III. Semistrong 
dichotomy. 92¢:34047 

Vutkovi¢, Miroslav see Rosi¢, Nikola, 92g:34009 

Wagner, Eberhard Uber ein abzahibares System gewohnlicher linearer Differentialgleichun- 
gen von Bandstruktur. [On a countable system of ordinary linear differential equations of 
band structure] 92b:34011 

Wang, Quan Yi Equivalence of the properties of having a pure point spectrum and being 
almost reducible. (Chinese) 92¢:34054 

Wyderka, Zdzislaw On generalized dynamical systems derived from linear differential 
equations with measures as coefficients. 92h:34095 

Xiong, Kai Qi see Cao, Qing Jie; et al., 92a:34046 

Zettl, Anton see Race, D., 92h:34163 

Zhang, Wen Kui Oscillation and spectral analysis of generalized differential equations. 
92a:34029 

Zhao, Jia Xiang Remarks on recurrent solutions for linear recurrent systems. 92d:34093 

Zhu, Jianchao (with Johnson, C. D.) Unified canonical forms for matrices over a 
differential ring. 92b:15024 

Zhukova, G. S. Asymptotic behavior of the solutions of a class of linear systems with a 
degenerate matrix multiplying the derivative. (Russian) 92b:34063 








34A30 


Items listed otherwise than by author 


Tables: 
Differential equations that are integrable via Bessel-Clifford functions see Hayek Calil, 
Nacere, 92b:33007 


34A34 Nonlinear equations and systems, general 


Ad”yutov, M. M. (with Zmitrenko, N. V.; Klokov, Yu. A.) On a generalization of the 
Emden equation. (Russian) 92h:34023 

Alymkulov, E. D.-A. Some aggregation and stability problems for systems of ordinary 
differential equations. (Russian) 92j:34019 

Ammar, Gregory S. see Martin, Clyde Franklin, (92d:93008) 

Antonino, José A. (with Ferrer, M. V.) A result characterizing when the solutions of the 
system x(t) = f(t, x(t)) are in a closed set. (Spanish. English summary) (see 92b:00044) 

Athorne, Chris Polyhedral Ermakov systems. 92e:34011 

— Rational Ermakov systems of Fuchsian type. 92m:34022 

Bitmead, Robert R. (with Gevers, Michel) Riccati difference and differential equations: 
convergence, monotonicity and stability. (see 92d:93008) 

Bittanti, Sergio (with Colaneri, Patrizio, De Nicolao, Giuseppe) The periodic Riccati 
equation. (see 92d:93008) 

Bogatushin, I. Ya. (with Zaitsev, V. F.) On a form of the general integral of first-order 
nonlinear ordinary differential equations. (Russian) (see 92i:34002) 

Colaneri, Patrizio see Bittanti, Sergio; et al., (92d:93008) 

De Nicolao, Giuseppe see Bittanti, Sergio; et al., (92d:93008) 

Derevenskii, V. P. The Lie algebraic method for integrating some forms of nonlinear 
differential systems. (Russian) (see 92f:00018) 

Egorov, M. A. Some properties of the matrix Riccati equation. (Russian. English summary) 
92d:34022 

Estévez, P.G. The generalized damped cubic equation: integrability and general solution. 
92d:34023 

Ferrer, M. V. see Antonino, José A., (92b:00044) 

Fijatkowski, Piotr On the equation x”(t) = F(t, x(t)) in the Sobolev space H'(R). 
92d:34024 

Gevers, Michel see Bitmead, Robert R., (92d:93008) 

Giacomini, H. J. (with Repetto, C. E.; Zandron, O. P.) Integrals of motion of three- 
dimensional non-Hamiltonian dynamical systems. 92h:34024 

Gonzalez-Gascén, Francisco (with Gonzalez-Lépez, Artemio) Dynamical symmetries and 
integration of differential equations. 92e:34012 

Gonzalez-Lépez, Artemio see Gonzdlez-Gascén, Francisco, 92e:34012 

Grabowski, Piotr Comments on: “Generalized Lyapunov functions for Liénard-type 
nonlinear systems” (Internat. J. Control 48 (1988), no. 2, 805-812; MR 89j:34017] by H. 
Miyagi, T. Ohshiro and K. Yamashita. 92c:34010 

Gritsai, A.G. see Shevelo, V. N., 92j:34022 

Gromak, V.1. (with Tsegel'nik, V. V.) Solutions of a system of three differential equations 
with quadratic nonlinearities. (Russian) 92c¢:34011 

Jédar, Lucas Closed form solutions of coupled algebraic and differential matrix equations. 
92e:34013 

Kenzhebaev, K. see Samoilenko, A. M.; et al., 92b:34022 

Klokov, Yu. A. see Ad’yutov, M. M.; et al., 92h:34023 

Kozulin, A. V. A third-order equation with a special particular integral. (Russian) 
92m:34023 

Kuznetsova, V. A. Analytic conditions for the recognition of a type of sector of surging 
dynamical systems for a special case (n = 2, m = 2). (Russian) 92g:34013 

Laptinskii, V.N. see Samoilenko, A. M.; et al., 92b:34022 

Liu, Xinzhi Monotone iterative technique for impulsive differential equations in a Banach 
space. 92g:34014 

Martin, Clyde Franklin (with Ammar, Gregory S.) The geometry of the matrix Riccati 
equation and associated eigenvalue methods. (see 92d:95908) 

Matsuno, Yoshimasa Two-dimensional dynamical system associated with Abel’s nonlinear 
differential equation. 92h:34025 

Medina, Rigoberto On the boundedness and stability of the solutions of semilinear 
differential equations. 92h:34026 

(Miyagi, H.) see Grabowski, Piotr, 92c:34010 

Muratbekov, M. B. On the smoothness and approximation properties of solutions of a 
nonlinear Dirac system. (Russian. English and Kazakh summaries) 92j:34020 

(Ohshiro, T.) see Grabowski, Piotr, 92c:34010 

Pieniazek, Alicja On Cauchy function for certain class of ordinary differential equations 
with factorised operators. (Polish summary) (see 92c:00013) 

Pinto, Manuel Intégration asymptotique des équations différentielles ordinaires non- 
linéaires. [Asymptotic integration of nonlinear ordinary differential equations] (see 
92m:00038) 

— Intégration asymptotique des équations différentielles ordinaires non-linéaires. [Asymp- 
totic integration of nonlinear ordinary differential equations] (see 92m:00038) 

— Continuation, nonoscillation and asymptotic formulae of solutions of second order 
nonlinear differential equations. 92¢:34014 

Rauch-Wojciechowski, Stefan A method of studying integrals of dynamica’ systems based 
on Frobenius’ integrability theorem. 92i:34009 

Reinfelds, Andrejs see Sermone, L. D., 92j:34021 

Repetto, C. E. see Giacomini, H. J.; et al., 92h:34024 

Sachdev, P. L. * Nonlinear ordinary differential equations and their applications. 
92i:34010 

Samoilenko, A. M. (with Kenzhebaev, K.; Laptinskii, V. N.) Investigation of a periodic 
boundary value problem for nonlinear systems of differential equations. (Russian) 
92b:34022 

Savkin, A. V. Bounded solutions of a Riccati matrix differential equation. (Russian) 
92g:34015 

Sermone, L. D. (with Reinfelds, Andrejs) Equivalence of differential equations with 
impulse action. (Russian. English and Latvian summaries) 92j:34021 

Shayman, Mark A. A geometric view of the matrix Riccati equation. (see 92d:93008) 


ORDINARY DIFFERENTIAL EQUATIONS 1992 470 


Shevelo, V. N. (with Gritsai, A.G.) Some approaches to the study of the properties of 
solutions of differential equations with involutions. (Russian) 92j:34022 

Starc, Zdravko F. The boundary curves of three classes of the second order nonlinear 
ordinary differential equations. (Serbo-Croatian summary) 

Stepanova, T. V. Representations of generalized O-solutions of the general Bendixson 
equation in the quasi-analytic case. (Russian) 92i:34011 

Tsegel/nik, V. V. see Gromak, V. I., 92¢:34011 

Tvrdy, Milan Generalized differential equations in the space of regulated functions 
(boundary value problems and controllability). (Czech summary) 92j:34023 

Usami, Hiroyuki On positive decaying solutions of singular Emden-Fowler-type equations. 
92e:34015 

Voskresenskii, E. V. Asymptotic behavior of solutions of differential equations with 
functional perturbation. (Russian) 924:34025 

— Lyapunov functions and the asymptotic behavior of solutions of perturbed differential 
equations. (Russian) 92h:34027 

— The direct Lyapunov method in the theory of asymptotic equivalence of differential 
equations. (Russian. Ukrainian summary) 92a:34014 

Wiener, Klaus Lésungen inhomogener Diffe gleichungen mit Ableitungen von 
nichtganzzahliger Ordnung. IV. [Solutions of inhomogeneous differential equations with 
derivatives of nonintegral order. IV] 92i:34012 

(Yamashita, Katsumi) see Grabowski, Piotr, 92c:34010 

Zaitsev, V.F. see Bogatushin, I. Ya., (92i:34002) 

Zandron, O. P. see Giacomini, H. J.; et al., 92h:34024 

Zhao, Xian Zeng The general solution of Riccati’s equation. (Chinese) 

Zmitrenko, N. V. see Ad’yutov, M. M.; et al., 92h:34023 

Zubov, V.1. Ergodic behavior of macro parameters. (Russian) 92g:34016 





Items with secondary classifications in 34A34 


Abdullaev, A. R. Solvability of the Cauchy problem for a singular second-order equation in 
the critical case. (Russian. English and Georgian summaries) 92c:34003 

Ad"yutov, M. M. (with Klokov, Yu. A.) Uniqueness of the solution of an initial value 
problem for second-order ordinary differential equations with singularities. (Russian. 
English and Latvian summaries) 92g:34002 

Akhmetov, M. U. (with Perestyuk, N. A.) On the existence of higher-order B-derivatives of 
solutions of impulse systems with respect to initial data. (Russian. English and Kazakh 
summaries) 92h:34028 

Anderson, David Hezekiah (with Roller, Towanna) Equilibrium points for nonlinear 
compartmental models. 92b:92016 

Angelov, Vasil G. A coincidence theorem in uniform spaces and applications. 92h:54058 

Ayad, A. (with Holail, F. S.; Ramadan, Z.) A spline approximation of an arbitrary order for 
the solution of system of second order differential equations. (Romanian summary) 

Bainov, Drumi D. see Simeonov, P. S., 92j:34026 

Balachandran, Krishnan see Thandapani, E., 92j:34068 

Bebbouchi, Rachid Problémes physiques du troisi¢me ordre. [Third-order physical 
problems] 92g:34058 

Beckers, J. see Hussin, Véronique; et al., (92f:81008) 

Bobisud, L. E. (with Lee, Y.S.) Existence for a class of nonlinear singular boundary value 
problems. 92k:34021 

Bohl, Erich A boundary layer phenomenon for linear systems with a rank deficient matrix. 
(German and Russian summaries) 92h:92005 

Boichuk, A. A. (with Zhuravlév, V. F.; Chuiko, S. M.) Periodic solutions of nonlinear 
autonomous systems in critical cases. (Russian. Ukrainian summary) 92¢:34053 

Brockett, Roger W. Dynamical systems that sort lists, diagonalize matrices, and solve linear 
programming problems. 92j:90043 

Bryuno, A. D. Local method of nonlinear analysis. 92k:58242 

Burov, A. A. (with Subkhankulov, G.I.) Some difference schemes for equations of 
dynamics that have first integrals. (Russian) 92h:34093 

Can, Mehmet On the relation between nonlinear Schrédinger equation and Painlevé IV 
equation. 92a:35144 

Chuiko, S. M. see Boichuk, A. A.; et al., 92e:34053 

Cibulis, Andris Not all solutions of an equation with a discontinuous nonlinearity are 
attainable by solutions of smoothed problems. (Russian. English and Latvian summaries) 
92h:34031 

Czichowski, Ginter Lie theory of differential equations and computer algebra. 92h:58176 

Damianou, Pantelis A. The Volterra model and its relation to the Toda lattice. 92g:58045 

Dobrokhotova, M. A. Necessary and sufficient conditions for the existence of linearly 
ordered periodic solutions of a second-order Riccati equation. (Russian) (see 92f:00018) 

Dong, Ju Qing see Tang, Guang Song; et al., 92k:34001 

Duarte, L.G.S. (with Moreira, I. C.; Euler, N.; Steeb, Willi-Hans) Invertible point 
transformations, Lie symmetries and the Painlevé test for the equation ¥ + f{(t)x + 
Ao(t)x + fa(t)x" = 0. 92d:58187 

Elaydi, Saber (with Hajek, Otomar) Exponential dichotomy and trichotomy of nonlinear 
differential equations. 92a:34045 

Erbe, Lynn H. (with Liang, Zhong Chao) Qualitative behavior of a generalized Emden- 
Fowler differential system. 92g:34039 

— (with Liang, Zhong Chao) Continuation and uniqueness for generalised Emden-Fowler 
systems. 92f:34003 

Euler, N. see Duarte, L. G. S.; et al., 92d:58187 

Fiebig-Wittmaack, Melitta On the number of solutions of a Duffing equation. 92h:34049 

Flaschka, Hermann (with Newell, Alan C.; Tabor, M.) Integrability. 92i:58074 

Flashner, Henryk see Guttalu, Ramesh S., 92a:34032 

Flessas, G. P. (with Leach, P.G. L.) A completely integrable case in the complex Lorenz 
equations. 92i:34004 

Gagnon, Langis see Hussin, Véronique; et al., (92f:81008) 

Goncharenko, A. M. (with Kukushkin, V. G.; Logvin, Yu. A.; Samson, A. M.) Ermakov 
Hamiltonian systems in a problem on the propagation of two orthogonally polarized 
beams in a nonlinear medium. (Russian. English summary) 92j:78027 

Grammaticos, B. see Ramani, A.; et al., 92j:39011 

Granas, Andrzej (with Guenther, R. B.; Lee, John Walter) Some general existence 
principles in the Carathéodory theory of nonlinear differential systems. 92d:34041 





471 1992 


Griepentrog, Eberhard The index of differential-algebraic equations and its significance for 
the circuit simulation. 92h:34006 

— Transformation methods for differential-algebraic equations. 92f:65081 

Grigor’eva, N. V. On the existence of a solution of the Abel equation of the first kind in a 
Banach space. (Russian) (see 92e:00011) 

Gromak, V.1. (with Lukashevich, N. A.) * AHamuTH4eckHe CBOMCTBa pelleHHi ypaBHenult 
Tlennese. (Russian) [Analytic properties of solutions of Painlevé equations] 92b:34003 

Guenther, R. B. see Granas, Andrzej; et al., 92d:34041 

Guttalu, Ramesh S. (with Flashner, Henryk) Analysis of dynamical systems by truncated 
point mappings and cell mapping. 92a:34032 

Hajek, Otomar see Elaydi, Saber, 92a:34045 

Hanke, Michael On the asymptotic representation of a regularization approach to nonlinear 
semiexplicit higher-index differential-algebraic equations. 92h:34007 

Hervas, Antonio (with Navarro, Enrique) Closed-form solutions for Riccati matrix 
differential equations. (Spanish. English summary) (see 92b:00044) 

Hietarinta, Jarmo see Ramani, A.; et al., 92j:39011 

Holail, F.S. see Ayad, A.; et al. 

Horwitz, Alan Homogeneous, isobaric, and autonomous algebraic differential equations. 
92j:12011 

Howell, G. W. (with Lakshmikantham, V.) A new approach to 
technique for solution of differential equations. 92b:34008 

Hussin, Véronique (with Beckers, J.; Gagnon, Langis; Winternitz, Pavel) Nonlinear 
equations with superposition principles, the Lie group G2 and its maximal subgroups. (see 
92£:81008) 

Ishii, Masaharu Painlevé property and algebraic integrability of single variable ordinary 
differential equations with dominants. 92d:34013 

Iwano, Masahiro On a 4-parameter family of bounded solutions of a nonlinear 4-system 
with an irregular type singularity not satisfying Poincaré’s condition. 924:34068 

Iwasaki, Katsunori (with Kimura, Hironobu; Shimomura, Shun; Yoshida, Masaaki) 
* From Gauss to Painlevé. 92j:33001 

Jin, Jun Boundedness of solutions to nonlinear systems of fourth order. (Chinese. English 
summary) 92d:34102 

— Uniform boundedress of solutions to a class of nonlinear differential equations. (Chinese. 
English summary) 92¢:34045 

Jédar, Lucas (with Navarro, Enrique) A closed form solution for nonsymmetric Riccati 
differential equations with invertible quadratic coefficient. 92a:34006 

Kanevskii, A. Ya. Lyapunov functions in the absence of cycles. 92j:34104 

Kashcheev, V. N. * SapucTH4eckHe MeTOLbI NONyYYeHHS PeLeHHA HENHHeMHBIX ypaBHeHHh 
comuTouuku. (Russian) [Heuristic methods for obtaining solutions of nonlinear equations 
of solitonics] 92g:35194 

Khvan, A. M. Systems of differential equations that are reducible to the Nambu system of 
equations. (Russian) 92i:70035 

Kimura, Hironobu see Iwasaki, Katsunori; et al., 92j:33001 

Klokov, Yu. A. see Ad”yutov, M. M., 92g:34002 

Kukushkin, V.G. see Goncharenko, A. M.; et al., 92j:78027 

Kulik, V. L. see Samoilenko, A. M., 92d:34095 

Kuo, Chung Shéng On the semilinear elliptic equation Aw — $y - Vw + Aw — w~* =O in 
R". 92j:35051 

Kvinikadze, G. G. A singular Cauchy problem for nonlinear ordinary differential equations. 
(Russian. English and Slovak summaries) 92b:34009 

Lakshmikantham, V. (with Leela, S.; Martynyuk, A. A.) * Practical stability of nonlinear 
systems. 92g:34067 

— see also Howell, G. W., 92b:34008 

Leach, P. G. L. Generalized Ermakov systems. 92h:58177 

— see also Flessas, G. P., 92i1:34004 

Lee, John Walter see Granas, Andrzej; et al., 92d:34041 

Lee, Y.S. see Bobisud, L. E., 92k:34021 

Leela, S. see Lakshmikantham, V.; et al., 92g:34067 

Leonov, G. A. (with Smirnova, V. B.) Nonlocal reduction method in differential equations 
theory. 92f:34048 

— Instability in attractors that are close to two-dimensional surfaces. (Russian) 92g:34066 

Liang, Zhong Chao see Erbe, Lynn H., 92:34003 and 92g:34039 

Logvin, Yu. A. see Goncharenko, A. M.; et al., 92j:78027 

Lukashevich, N. A. see Gromak, V. I., 92b:34003 

Manrilla, Dusan On solutions of nonlinear differential equation in the class Lp. (German, 
Russian and Czech summaries) 924:34071 

Manolov, S. Autonomous sy with sy y. (Russian. English summary) 92a:34041 

Martynov, I. P. (with Pron’ko, V. A.) Single-valued solutions of a class of differential 
equations. (Russian) 92d:34015 

Martynyuk, A. A. Boundedness of solutions of nonlinear systems with small perturbations. 
(Russian) 92m:34112 

— see also Lakshmikantham, V.; et al., 92g:34067 

van der Merwe, P. du T. Solvable forms of a generalized Hénon-Heiles system. 92¢:58073 

Michelson, Daniel Bunsen flames as steady solutions of the Kuramoto-Sivashinsky 
equation. 92j:35179 

Moreira, I. C. see Duarte, L. G. S.; et al., 92d:58187 

Mortola, Stefano (with Peirone, Roberto) The horaogenization of an ordinary differential 
equation with a chessboard structure. (Italian. English summary) 924:34034 

Navarro, Enrique see Jédar, Lucas, 92a:34006 and Hervas, Antonio, (92b:00044) 

Newell, Alan C. see Flaschka, Hermann; et al., 921:58074 

Onishchenko, S. M. Rigid monotone stabilization of solutions of nonlinear differential 
equations by the direct Lyapunov method. (Russian) 92f:34046 

Pan, Xing Bin Existence of singular solutions of semi-linear elliptic equation in R”. 
92m:35079 

Peirone, Roberto see Mortola, Stefano, 92d:34034 

Perestyuk, N. A. see Akhmetov, M. U., 92h:34028 and Samoilenko, A. M.; et al., 92i:34013 

Popa, M. N. Application of invariant processes to the study of homogeneous linear 
particular integrals of a differential system. (Russian) 92h:34065 

— (with Sibirskii, K. S.) Integral lines of a general quadratic differential system. (Russian. 
English and Moldavian summaries) 92h:34064 





iterative 





34A General theory 


34A37 


Pron’ko, V. A. see Martynov, I. P., 92d:34015 

Pucci, Patrizia (with Serrin, James) Continuation and limit properties for solutions of 
strongly nonlinear second order differential equations. 92j:34069 

Ramadan, Z. see Ayad, A.; et al. 

Ramani, A. (with Grammaticos, B.; Hietarinta, Jarmo) Discrete versions of the Painlevé 
equations. 92j:390i1 

P. V. A note on Abel’s constant and Lewis invariants. 92d:70022 

Reich, Sebastian On an existence and uniqueness theory for nonlinear differential-algebraic 
equations. 92k:34002a 

— Erratum to: “On an existence and uniqueness theory for nonlinear differential-algebraic 
equations”. 92k:34002b 

Reithmeier, E. Periodic solutions of nonlinear dynamical systems with discontinuities. 
92b:34051 

Rivero Mendoza, Jestis (with Szigeti, F.) Composition of Sobolev functions and its 
applications to ordinary differential equations. 92d:46087 

Roller, Towanna see Anderson, David Hezekiah, 92b:92016 

Saito, Seiji (with Yamamoto, Minoru) The continuous dependence of periodic solutions 
for the periodic quasilinear ordinary differential system containing a parameter. 
92£:34035 

Samoilenko, A. M. (with Kulik, V. L.) Linear extensions of dynamical systems on a torus, 
and Green functions. (Russian. Ukrainian summary) 924:34095 

— (with Perestyuk, N. A.; Trofimchuk, S. I.) Generalized solutions of impulse systems, and 
the beats phenomenon. (Russian. Ukrainian summary) 92i:34013 

Samson, A. M. see Goncharenko, A. M.; et al., 92j:78027 

Serrin, James see Pucci, Patrizia, 92j:34069 

Shimomura, Shun On an asymptotic property of a nonlinear ordinary differential equation. 
92k:34068 

— see also Iwasaki, Katsunori; et al., 92j:33001 

Shrivastava, B. M. L. see Singh, M. B., 924:33021 

Sibirskii, K.S. see Popa, M. N., 92h:34064 

Simeonov, P.S. (with Bainov, Drumi D.) Asymptotic properties of the solutions of systems 
of differential equations with impulse effect. 92j:34026 

Singh, M. B. (with Shrivastava, B. M. L.) Application of Jacobi polynomials to nonlinear 
differential equation associated with the product of generalized hypergeometric function 
and H-function. 92d:33021 

Smirnova, V. B. see Leonov, G. A., 92f:34048 

Spezamiglio, Adalberto Bounded solutions of ordinary differential equations, and stability. 
(Portuguese. English summary) 92h:34073 

Spigler, Renato (with Vianello, Marco) Global existence and uniqueness for the Kummer 
transformation problem subject to non-Cauchy data. 92i:34018 

Steeb, Willi-Hans see Duarte, L. G. S.; et al., 92d:58187 

Subkhankulov, G.I. see Burov, A. A., 92h:34093 

Suleimenov, Zh. S. The existence of a conditionally periodic solution of a quasilinear 
equ1tion in the critical case. (Russian. English and Kazakh summaries) 92g:34050 

Szigeti, x. see Rivero Mendoza, Jestis, 92d:46087 

Tabor, M. see Flaschka, Hermann; et al., 92i:58074 

Tang, Guang Song (with Dong, Ju Qing) Integrable types of nonlinear ordinary differential 
equations of higher orders. (Chinese. English summary) 92k:34001 

Taniguchi, Takeshi On the estimate of solutions of perturbed linear differential equations. 
92¢:34041 

Tatarinov, Ya. V. Superposition of nonlinear oscillations with evolution near the equilib- 
rium manifold of reversible systems. (Russian) 92b:34049 

Thandapani, E. (with Balachandran, Krishnan) A note on the nonoscillation of a nonlinear 
equation. 92j:34068 

Toma, Ileana Techniques of computation by linear equivalence. 92c:65099 

Trofimchuk, S.1. see Samoilenko, A. M.; et al., 92i:34013 

Vianello, Marco see Spigler, Renato, 92i:34018 

Voit, Eberhard O. Symmetries of S-systems. 92m:34018 

Voskresenskii, E. V. On the asymptotic behavior of solutions of nonlinear differential 
equations. (Russian. Ukrainian summary) 92h:34105 

Wang, Duo Applications of the representation theory of sl(2, R) to normal form theory. 
92e:58192 

Winternitz, Pavel see Hussin, Véronique; et al., (92f:81008) 

Yamamoto, Minoru see Saito, Seiji, 92f:34035 

Yeh, Cheh Chih Levin’s comparison theorems for second order nonlinear differential 
equations and inequalities. (Serbo-Croatian summary) 

— Levin’s comparison theorems for second order nonlinear differential equations and 
inequalities. 92g:34042 

Yoshida, Masaaki see Iwasaki, Katsunori; et al., 92j:33001 

Zaghrout, Afaf A.S. On generalized Floquet theory. 92c:34009 

Zhuraviév, V.F. see Boichuk, A. A.; et al., 92e:34053 


34A35 Differential equations of infinite order 


Korobeinik, Yu. F. Nontrivial expansions of zero in absolutely representing systems. 
Applications to convolution operators. (Russian) 92m:34024 

Rogovtsov, N. N. On the solution of the Cauchy problem for infinite systems of differential 
equations that describe the process of multiphoton collisionless excitation of molecules. 
(Russian) 92b:34023 


Items with secondary classifications in 34A35 
Nishimoto, Katsuyuki * Fractional calculus. Vol. IV. 92j:26008 


34A37 Differential equations with impulses 


Akhmetov, M. U. (with Perestyuk, N. A.) On the existence of higher-order B-derivatives of 
solutions of impulse systems with respect to initial data (Russian. English and Kazakh 
summaries) 92h:34028 

— Periodic solutions of nonautonomous systems of differential equations with impulse 
action in the critical case. (Russian. Kazakh summary) 92m:34025 





34A37 


Ashirov, O. A. Preservation of stability in impulse systems. (Russian) 92m:34026 

Bainov, Drumi D. (with Kostadinov, St. I.; Zabreiko, P. P.) Existence of solutions 
of nonlinear impulsive differential equations with exponentially dichotomous or 
dichotomous linear part. 92k:34012 

— (with Kostadinov, St. I.; Zabreiko, P. P.) Lp-equivalence of a linear and a nonlinear 
impulsive differential equation in a Banach space. 92h:34029 

— see also Kulev, G. K., 92b:34024; Dishliev, A. B., 92b:34025; Milev, N. V., 92j:34024; 
92j:34025; Simeonov, P. S., 92j:34026; 92j:34027; Dishliev, A. B., 92m:34027; Simeonov, 
P. S., 92m:34028; Kulev, G. K., 92m:34029 and Dishliev, A. B., 92m:34030 

Dishliev, A. B. (with Bainov, Drumi D.) Continuous dependence of the solution of a system 
of differential equations with impulses on the initial condition. 92m:34027 

— (with Bainov, Drumi D.) Continuous dependence on the initial condition and a 
parameter of the solutions of a class of differential equations with variable structure and 
impulses. 92b:34025 

— (with Bainov, Drumi D.) Uniform stability with respect to the impulsive perturbations of 
the solutions of impulsive differential equations. 92m:34030 

Filippov, V. V. Asymptotic integration of ordinary differential equations with discontinu- 
ities in the right-hand side. (Russian) 92m:34031 

Tlolov, M. see Samoilenko, A. M., 92m:34034 

Kostadinov, St. I. see Bainov, Drumi D.; et al., 92h:34029 and 92k:34012 

Krishna, S. V. (with Ravindranadh Babu, G. V.; Vasundhara Devi, J.) Dichotomies for 
impulsive differential systems. 92m:34032 

Kulev, G. K. (with Bainov, Drumi D.) (/4o, 4)-boundedness of the solutions of differential 
systems with impulses. 92b:34024 

— (with Bainov, Drumi D.) Lipschitz stability of impulsive systems of differential 
equations. 92m:34029 

Kurbanbaév, O. O. see Samoilenko, A. M.; et al., 92a:34015 

Lachik, V. E. A truncation method for linear equations with impulses in a space of bounded 
numerical sequences. (Russian) 92f:34009 

— see also Samoilenko, A. M.; et al., 92c:34012 

Milev, N. V. (with Bainov, Drumi D.) Ordinary dichotomy and perturbations of the 
coefficient matrix of the linear impulsive differential equation. 92j:34024 

— (with Bainov, Drumi D.) Dichotomies for linear impulsive differential equations with 
variable structure. 92j:34025 

Perestyuk, N. A. see Akhmetov, M. U., 92h:34028 and Samoilenko, A. M.; et al., 92i:34013 

Ravindranadh Babu, G. V. see Krishna, S. V.; et al., 92m:34032 

Rogovchenko, S. P. (with Rogovchenko, Yu. V.) Continuous dependence of solutions of 
impulse evolution systems on the initial data. (Russian) 92m:34033 

Rogovchenko, Yu. V. see Rogovchenko, S. P., 92m:34033 

Ronto, N.I. see Samoilenko, A. M.; et al., 92a:34015 

Samoilenko, A. M. (with Ronto, N. L; Kurbanbaév, O.O.) Determination of the solutions 
of boundary value problems for differential equations with impulse action. (Russian) 
92a:34015 

— (with Teplinskii, Yu. V.; Luchik, V. E.) Reducibility of differential equations with 
impulses in the space of bounded numerical sequences. (Russian. English summary) 
92¢:34012 

— (with llolov, M.) On the theory of time-inhomogeneous evolution equations with impulse 
actions. (Russian) 92m:34034 

— (with Perestyuk, N. A.; Trofimchuk, S. I.) Generalized solutions of impulse systems, and 
the beats phenomenon. (Russian. Ukrainian summary) 92i:34013 

Simeonov, P.S. (with Bainov, Drumi D.) Asymptotic properties of the solutions of systems 
of differential equations with impulse effect. 92j:34026 

— (with Bainov, Drumi D.) On the asymptotic properties of the solutions of systems of 
differential equations with impulse effect. 92m:34028 

— (with Bainov, Drumi D.) Application of the method of the two-sided approximations to 
the solution of the periodic problem for impulsive differential equations. 92j:34027 

Sivasundaram, S. (with Sun, Yong) Application of interval analysis to impulsive differential 
equations. 92m:34035 

Sun, Yong see Sivasundaram, S., 92m:34035 

Teplinskii, Yu. V. see Samoilenko, A. M.; et al., 92c:34012 

Trofimchuk, S. I. see Samoilenko, A. M.; et al., 92i:34013 

Vasundhara Devi, J. see Krishna, S. V.; et al., 92m:34032 

Vyshenskaya, O. V. On the invariant set of a dynamical system. (Russian) 92i:34014 

Zabreiko, P. P. see Bainov, Drumi D.; et al., 92h:34029 and 92k:34012 


Items with secondary classifications in 34A37 


Akhmetov, M. U. (with Perestyuk, N. A.) Periodic solutions of quasilinear impulse systems 
in the critical case. (Russian. Ukrainian summary) 92d:34088 

Alchekov, A. K. Stability in the mean of a linear system with impulse action at the epochs of 
a renewal process. (Russian) 92i:60110 

— Sta lity of a linear system with Poisson impulse action. (Russian) 92b:34059 

Anokhin, A. V. (with Braverman, E. Ya.) Linear impulsive functional-differential 
equations. (Russian) 92b:34073 

Ashirov, O. A. (with Perestyuk, N. A.) The freezing method in systems with impulse action. 
(Russian. Ukrainian summary) 92m:34123 

Bainov, Drumi D. (with Zabreiko, P. P.; Kostadinov, St. I.) Stability of the general exponent 
of nonlinear differential equations with impulse effect in a Banach space. 92f:34041 

— (with Kostadinov, St. L; Myshkis, A.D.) Asymptotic equivalence of impulsive differen- 
tial equations in a Banach space. 92a:34067 

— (with Kostadinov, St. I.; Myshkis, A. D.) Properties of the L,-solutions of linear 
impulsive equations in a Banach space. 92b:34067 

— (with Kostadinov, St. .; Myshkis, A. D.) Properties of the L,-solutions of linear 
impulsive equations in a Banach space. 92g:34078 

— see also Milev, N. V., 92a:34048; Khristova, S. G., 92c:34080; Kulev, G. K., 92d:34104; 
Dishliev, A. B., 92d:34109; Kulev, G. K., 92d:34110; 92e:34106; Khristova, S. G., 
92g:34110; Kulev, G. K., 92h:34104; Simeonov, P. S., 92j:34097 and 92j:34098 

Boichuk, A. A. (with Perestyuk, N. A.; Samoilenko, A. M.) Periodic solutions of impulse 
differential systems in critical cases. (Russian) 92i:34052 

Braverman, E. Ya. see Anokhin, A. V., 92b:34073 

Caldas, I. L. see Viana, R. L.; et al., 92h:34066 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 472 


Dal Maso, Gianni (with Rampazzo, Franco) On systems of ordinary differential equations 
with measures as controls. 92g:49037 

Diamond, Phil Impulsive evolution equations and population models. (see 92f:92004) 

Dishliev, A. B. (with Bainov, Drumi D.) Uniform stability with respect to the impulsive 
perturbations of the solutions of differential equations with impulses. (Italian summary) 
92d:34109 

Elgondyev, K. K. see Samoilenko, V. Gr., 92m:34094 

Erbe, Lynn H. (with Liu, Xinzhi) Existence of periodic solutions of impulsive differential 
systems. 92d:34090 

Gutsu, V. I. On the bounded solutions of differential equations with impulses. (see 
92m:49004) 

Tlolov, M. see Samoilenko, A. M., 92b:34071 

Karelina, I.G. see Pokornyi, Yu. V., 92k:34083 

Khristova, S.G. (with Bainov, Drumi D.) The method of the small parameter in the theory 
of differential-difference equations with impulse effect. 92c:34080 

— (with Bainov, Drumi D.) Application of the monotone-iterative techniques of V. 
Lakshmikantham to the solution of the initial value problem for impulsive differential 
equations with “supremum”. 92g:34110 

Kostadinov, St. I. see Bainov, Drumi D.; et al., 92a:34067; 92b:34067; 92f:34041 and 
92g:34078 

Kulev, G. K. (with Bainov, Drumi D.) Stability under persistent disturbances for systems 
with impulses via Lyapunov’s direct method. 924:34104 

— (with Bainov, Drumi D.) Lipschitz quasistability of impulsive systems of differential 
equations. 92d:34110 

— (with Bainov, Drumi D.) Global stability of the solutions of systems with impulse effect. 
92h:34104 

— (with Bainov, Drumi D.) Stability of the solutions of impulsive integro-differential 
equations in terms of two measures. (French summary) 92¢:34106 

Kurbanshoev, S. Z. Stability of solutions of a linear system of differential equations with 
impulse actions. (Russian. Tajiki summary) 

Lakshmikantham, V. (with Leela, S.; Martynyuk, A. A.) * Practical stability of nonlinear 
systems. 92g:34067 

Leela, S. see Lakshmikantham, V.; et al., 92g:34067 

Liu, Xinzhi Stability analysis for impulsive differential equations in terms of two different 
measures. 92k:34066 

— see also Erbe, Lynn H.; et al., 92d:34090 

Liz, E. (with Nieto, Juan J.) Periodic solutions of discontinuous impulsive differential 
systems. 92m:34093 

Luchik, V. E. see Teplinskii, Yu. V., 92d:34123 

Martynyuk, A. A. see Lakshmikantham, V.; et al., 92g:34067 

Milev, N. V. (with Bainov, Drumi D.) Stability of linear impulsive differential equations. 
92a:34048 

Myshkis, A. D. see Bainov, Drumi D.; et al., 92a:34067; 92b:34067 and 92g:34078 

Nieto, Juan J. see Liz, E., 92m:34093 

(Pakes, Anthony G.) see Diamond, Phil, (92f:92004) 

Perestyuk, N. A. see Akhmetov, M. U., 92d:34088; Boichuk, A. A.; et al., 92i:34052 and 
Ashirov, O. A., 92m:34123 

Pokornyi, Yu. V. (with Karelina, I.G.) On the Green function for the Dirichlet problem on 
agraph. (Russian) 92k:34083 

Rampazzo, Franco see Dal Maso, Gianni, 92g:49037 

Reinfelds, Andrejs see Sermone, L. D., 92j:34021 

Samoilenko, A. M. (with Ilolov, M.) On the theory of evolution equations with impulse 
action. (Russian) 92b:34071 

— see also Boichuk, A. A.; et al., 92i:34052 

Samoilenko, V. Gr. (with Elgondyev, K. K.) Periodic and almost periodic solutions of linear 
homogeneous differential equations with impulse action. (Russian) 92m:34094 

Sermone, L. D. (with Reinfelds, Andrejs) Equivalence of differential equations with 
impulse action. (Russian. English and Latvian summaries) 92j:34021 

Simeonov, P.S. (with Bainov, Drumi D.) Theory of Lyapunov’s characteristic exponents 
for impulsive differential systems. I. General properties of the characteristic exponents. 
(Bulgarian summary) 92j:34097 

— (with Bainov, Drumi D.) Theory of Lyapunov’s characteristic exponents for impulsive 
differential systems. II. Inequalities of Wazewski and Lyapunov for impulsive systems. 
Reducible systems. (Bulgarian summary) 92j:34098 

Tasso, H. see Viana, R. L.; et al., 92h:34066 

Teplinskii, Yu. V. (with Luchik, V. E.) Reducibility of differential equations with impulses 
in the space of bounded numerical sequences. (Russian. Ukrainian summary) 924:34123 

Tkachenko, V.I. On the existence of a piecewise-smooth invariant torus of an impulse 
system. (Russian) 92g:34055 

Trofimchuk, S. I. On averaging impulse systems. (Russian) 92g:34052 

Urmanchev, V. I. Dynamical systems with impulse action on a sphere. (Russian) 92d:54057 

Viana, R. L. (with Caldas, I. L.; Tasso, H.) Limit cycle behaviour in some nonlinear 
parametric impulsive excitation problems. 92h:34066 

Zabreiko, P. P. see Bainov, Drumi D.; et al., 92f:34041 


34A40 Differential inequalities 


Azbelev, N. V. (with Domoshnitskii, A. I.) On the question of linear differential inequali- 
ties. I. (Russian) 92¢:34016 

Constantin, Adrian Some observations on a Conti’s result. (Italian summary) 92f:34010 

Domoshnitskii, A. I. see Azbelev, N. V., 92e:34016 

Filatov, O. P. Differential inequalities in stability theory. (Russian) 92k:34013 

Matveev, P. N. Integral inequalities with a small parameter. (Russian) (see 92e:00011) 

Zhou, Bao Xi On the Gronwall inequality. (Chinese. English summary) 92h:34030 


Items with secondary classifications in 34A40 


Adje, Assohoun Monotone iterative techniques for solutions of nonlinear second order 
ordinary differential equations. 92j:34034 

Atdaev, S. * AHanvTH4ecKHe MeTOZbI ABYCTOPOHHHX NpHONWKeHHH 118 OObIKHOBCHHBIX 
AuddepenuMabubix ypapenenun. (Russian) [Analytic methods of two-sided approxima- 





473 1992 


tions for ordinary differential equations] 92g:34017 

Azbelev, N. V. (with Maksimov, V. P.; Rakhmatullina, L. F.) * Bsezenue 8 Teopuio 
yHKUHOHaI_HO-AudepenuMaNbHBIX ypaBHeHHH. (Russian) [Introduction to the theory of 
functional-differential equations] 92j:34123 

— (with Domoshnitskii, A. I.) On the question of linear differential inequalities. II. 
(Russian) 92h:34129 

Bainov, Drumi D. see Khristova, S. G., 92k:34081 

Chen, Xiu Singular perturbation of two-point boundary value problems for a class of 
nonlinear systems of higher order. (Chinese. English summary) 92m:34053 

Conlan, James (with Wang, Chung-Lie) A unified approach to Gronwall-Bihari inequalities. 
(Chinese summary) 92k:26041 

Domoshnitskii, A. I. see Azbelev, N. V., 92h:34129 

El-Dawaliby, N. see Zaghrout, Afaf A. S., 92a:26020 

Erbe, Lynn H. (with Kong, Qing Kai) Stieltjes integral inequalities of Gronwall type and 
applications. 92f:26031 

Jin, Jun Some notes on the Gronwall inequality. (Chinese. English summary) 92d:26034 

Karelina, I.G. see Pokornyi, Yu. V., 92k:34083 

Khristova, S.G. (with Bainov, Drumi D.) Application of the m« -iterative techniques 
of V. Lakshmikantham to the solution of the initial value problem for functional- 
differential equations. $2k:34081 

Kong, Qing Kai (with Zhang, Bing Gen) High-dimensional Gronwall-Bihari type inequali- 
ties involving improper integrals. 92h:26024 

— see also Erbe, Lynn H., 92£:26031 

Lu, Xiao Cheng Differential inequalities in cones and global existence of the unique solution 
for differential equations in Banach spaces. 92m:34141 

Ma, Wan Biao see Si, Li Geng, 92h:34150; 92i:34114a and 92i:34114b 

Maksimov, V. P. see Azbelev, N. V.; et al., 92j:34123 

Pachpatte, B.G. A note on certain generalizations of Opial’s inequality. 92g:26028 

Pinto, Manuel Integral inequalities of Bihari-type and applications. 92a:26015 

Pokornyi, Yu. V. (with Karelina, I.G.) On the Green function for the Dirichlet problem on 
agraph. (Russian) 92k:34083 

Rakhmatullina, L. F. see Azbelev, N. V.; et al., 92j:34123 

Si, LiGeng (with Ma, Wan Biao) Delay differential inequalities and their applications. 
(Chinese. English summary) 92i:34114a 

— (with Ma, Wan Biao) Nonlinear reverse delay differential inequalities and their 
applications in the theory of instability. (Chinese. English summary) 92i:34114b 

— (with Ma, Wan Biao) Differential-difference inequalities with unbounded delays and their 
applications. 92h:34150 

Sivasundaram, S. (with Sun, Yong) Application of interval analysis to impulsive differential 
equations. 92m:34035 

Sun, Yong see Sivasundaram, S., 92m:34035 

Umamaheswaram, S. (with Venkata Rama, M.) Focal subfunctions and second order 
differential inequalities. 92j:34045 

Venkata Rama, M. see Umamaheswaram, S., 92j:34045 

Walter, Wolfgang L. Differential inequalities. 92f:26029 

Wang, Chung-Lie see Conlan, James; et al., 92k:26041 

Yeh, Cheh Chih Levin’s comparison theorems for second order nonlinear differential 
equations and inequalities. (Serbo-Croatian summary) 

— Levin’s comparison theorems for second order nonlinear differential equations and 
inequalities. 92g:34042 

Zaghrout, Afaf A.S. (with El-Dawaliby, N.) Generalizations of Gronwall-Bellman-Reid 
inequalities. 92a:26020 

Zhang, Bing Gen see Kong, Qing Kai; et al., 92h:26024 

Zvyagintsev, A. I. An extremal problem connected with a priori estimates for the solutions 
of differential inequalities. (Russian. English and Latvian summaries) 92h:41034 





34A45 Theoretical approximation of solutions 


Adomian, George A. see Rach, R. C.; et al., 92i:34015 

Ashyralyev, A. Coercive stability of a difference scheme of the second order of approxima- 
tion for differential equations in a Banach space with a time-dependent operator. (Rus- 
sian) (see 92d:28002) 

Atdaev, S. * AHanuTHueckHe MeTOgbI JBYCTOpOHHEX npHOHxKeHHA M198 OObIKHOBeHHBIX 
Auddepenunanbubix ypapenenuh. (Russian) [Analytic methods of two-sided approxima- 
tions for ordinary differential equations] 92g:34017 

Cibulis, Andris Not all solutions of an equation with a discontinuous nonlinearity are 
attainable by solutions of smoothed problems. (Russian. English and Latvian summaries) 
92h:34031 

Duisova, A.D. Approximation of a solution of a linear limit-periodic differential equation 
that is bounded on the entire axis. (Russian. English and Kazakh summaries) 92k:34014 

Dzhumabaev, D.S. Approximation of a bounded solution, and exponential dichotomy on 
the line. (Russian) 92j:34028 

Grossman, Robert Using trees to compute approximate solutions to ordinary differential 
equations exactly. 92f:34011 

Horvath, Miklés (with Jo6, Istvan; S6évegjart6, A.) On Sturm-Liouville difference 
equations. 92b:34026 

Jo6, Istvin see Horvath, Miklés; et al., 92b:34026 

Meyers, R. E. see Rach, R. C.; et al., 92i:34015 

O’Hara, P. J. (with Osteen, R.; Rodriguez, R. S.) A method of solving y*) — f(x)y =0. 
92j:34029 

Osteen, R. see O’Hara, P. J.; et al., 92j:34029 

Rach, R.C. (with Adomian, George A.; Meyers, R. E.) A modified decomposition. 
92i:34015 

Rodriguez, R.S. see O’Hara, P. J.; et al., 92j:34029 

Sévegjarté, A. see Horvath, Miklés; et al., 92b:34026 


Items with secondary classifications in 34A45 


Adje, Assohoun Monotone iterative techniques for solutions of nonlinear second order 
ordinary differential equations. 92j:34034 


34A General theory 


34A45 


Altynnikova, L. A. A variant of the method of integral identities for a first-order equation 
with a small parameter multiplying the derivative. (Russian) 92g:34069 

Bainov, Drumi D. see Khristova, S. G., 92g:34110; Simeonov, P. S., 92j:34027 and Khristova, 
S. G., 92k:34081 

Baris, Ya.S. An error estimate for an approximate integral manifold. (Russian) 92j:34092 

Barkova, E. A. (with Zabreiko, P. P.) The Cauchy problem for higher-order differential 
equations with deteriorating operators. (Russian) 92d:34125 

Bobkov, V. V. Adaptive methods for the numerical integration of differential equations. 
(Russian. English summary) (see 92b:65010) 

Bodnarchuk, P.I. One-step iterative numerical methods for studying stiff problems. 
(Russian. English summary) 92e:65090 

Boyd, John Philip A comparison of numerical and analytical methods for the reduced wave 
equation with multiple spatial scales. 92g:34018 

Chornyi, V. Z. see Mitropol/skii, Yu. A., 92k:34049 

Cooper, K. D. (with Cooper, S. Clement; Jones, William B.) More on C-fraction solutions 
to Riccati equations. 92b:34018 

Cooper, S. Clement see Cooper, K. D.; et al., 92b:34018 

Coroian, Lia On a theorem of Dieudonné. 924:34127 

Dai, Shi Qiang Generalization of the method of full approximation and its applications. 
(Chinese. English summary) 92g:34068 

Dassie, G. see Reali, M., 924:65142 

Dement'eva, A. M. (with Krasnosel'skii, A. M.; Yumagulov, M. G.) On the approximate 
construction of periodic solutions of a first-order nonlinear equation. (Russian. Tajiki 
summary) 92j:34083 

Dovietov, D. M. A nonlocal boundary value problem of the first kind for the Sturm-Liouville 
operator in a differential and a difference formulation. (Russian) 92g:34030 

Engl, Heinz W. (with Hanke, Michael; Neubauer, Andreas) Tikhonov regularization of 
nonlinear differential-algebraic equations. (see 92a:00040) 

Fetkan, Michal Discretization in the method of averaging. 92c:34052 

Fink, A. M. (with Gatica, Juan A.; Hernandez, Gaston E.; Waltman, Paul) Approximation 
of solutions of singular second order boundary value problems. 92f:34016 

Gatica, Juan A. see Fink, A. M.; et al., 92f:34016 

Glinskii, Ya. N. Uniformly monotone explicit approximation methods for first-order 
operator-differential equations in a Hilbert space. (Ukrainian. Russian summary) 
92a:34068 

Gorodetskii, V. V. Polynomial approximation of solutions of evolution equations of 
parabolic type in a Hilbert space. (Russian) 92¢e:34073 

Hairer, Ernst (with Wanner, G.) * Solving ordinary differential equations. II. 92a:65016 

Hanke, Michael see Engl, Heinz W.; et al., (92a:00040) 

Heikkila, Seppo (with Kumpulainen, M.; Lakshmikantham, V.) On solvability of mixed 
monotone operator equations with applications to mixed quasimonotone differential 
systems involving discontinuities. 92j:47120 

Hernandez, Gastén E. see Fink, A. M.; et al., 92f:34016 

Ismailov, Z. 1. A polynomial approximation of the solution of the Cauchy problem. 
(Russian. Ukrainian summary) 92e:34074 

Jones, William B. see Cooper, K. D.; et al., 92b:34018 

Khristova, S.G. (with Bainov, Drumi D.) Application of the monotone-iterative techniques 
of V. Lakshmikantham to the solution of the initial value problem for functional- 
differential equations. 92k:34081 

— (with Bainov, Drumi D.) Application of the monotone-iterative techniques of V. 
Lakshmikantham to the solution of the initial value problem for impuisive differential 
equations with “supremum”. 92g:34110 

Kopaneva, V.I. An overdetermined problem for a differential equation in a Hilbert space. 
(Russian) 92e:34075 

Kosenko, I. 1. The application of Chebyshev polynomials for constructing a trajectory of 
perturbed motion in nonlinear mechanics. (Russian) 92a:34034 

Kovalev, V. A. On a case of the existence of a periodic solution of a system of differential 
equations. (Russian) 92j:34087 

Krasnosel’skii, A. M. see Dement'eva, A. M.; et al., 92j:34083 

Kumpulainen, M. see Heikkila, Seppo; et al., 92j:47120 

Kutov, V. P. see Smelov, V. V.; et al., 92m:65099 

Lakshmikantham, V. see Heikkila, Seppo; et al., 92j:47120 

Le Lyong Tai see Samoilenko, A. M., 924:34050 

Liu, Xinzhi Monotone iterative technique for impulsive differential equations in a Banach 
space. 92g:34014 

Martynyuk, S. V. see Samoilenko, A. M., 92i:65134 

Miller, John J. H. (with Mullarkey, Edward; O’Riordan, Eugene; Shishkin, G.I.) A 
simple recipe for uniformly convergent finite-difference schemes for singularly perturbed 
problems. (French summary) 92e:34069 

Mitropol’skii, Yu. A. (with Chornyi, V. Z.) Two-sided approximations of periodic solutions 
of systems of second-order differential equations. (Russian) 92k:34049 

Mullarkey, Edward see Miller, John J. H.; et al., 92¢:34069 

Neubauer, Andreas see Engl, Heinz W.; et al., (92a:00040) 

Nikitina, N. V. On modeling delay in link-chain mechanics. (Russian. English summary) 
92g:34108 

Novikov, Vyacheslav Aleksandrovich (with Rogalév, A. N.) The influence of the “wrapping” 
effect on the obtaining of upper and lower bounds on solutions of systems of ordinary 
differential equations. (Russian) 92d:65122 

O'Riordan, Eugene see Miller, John J. H.; et al., 92e:34069 

Pavlov, B. V. (with Rodionova, O. E.) Numerical solution of stiff locally unstable systems of 
ordinary differential equations. (Russian. English summary) (see 92b:65010) 

Platonov, A. K. see Sazonov, V. V.; et al., (92b:65010) 

Popova, G. S. see Smelov, V. V.; et al., 92m:65099 

Reali, M. (with Dassie,G.) Enhanced accuracy and applicability of analytico-numerical 
solutions to ordinary differential problems. (German and Russian summaries) 92d:65142 

Rodionova, O. E. see Pavlov, B. V., (975:65010) 

Rogalév, A. N. see Novikov, Vyacheslav Aleksandrovich, 924:65122 

Samoilenko, A. M. (with Le Lyong Tai) A method for studying boundary value problems 
with nonlinear boundary conditions. (Russian. Ukrainian summary) 924:34050 

— (with Martynyuk, S. V.) Justification of the numerical-analytic method of successive 








34A45 


approximations for problems with integral boundary conditions. (Russian. Ukrainian 
summary) 92i:65134 

Sazonov, V. V. (with Starostin, E. L.; Platonov, A. K.) A numerical method for constructing 
steady-state regimes for tracking systems. (Russian. English summary) (see 92b:65010) 

Shawagfeh, N. T. Nonperturbative series solution for a nonlinear differential equation. 
92j:34108 

Shirkov, P. D. Rosenbrock schemes with complex coefficients for stiff systems of differential 
equations. (Russian. English summary) (see 92b:65010) 

Shishkin, G.I. see Miller, John J. H.; et al., 92e:34069 

Simeonov, P.S. (with Bainov, Drumi D.) Application of the method of the two-sided 
approximations to the solution of the periodic problem for impulsive differential 
equations. 92j:34027 

Slon‘ovs’kii, R. V. New fractional-rational numerical methods for solving stiff systems. 
(Russian. English summary) 92f:65095 

Smelov, V. V. (with Kutov, V. P.; Popova, G. S.) * C-pa3snoxeHHa B anropHTMax pelleHua 
MHOroMepHBIX 3afa4. (Russian) [C-expansions in algorithms for solving multidimen- 
sional problems] 92m:65099 

Starostin, E. L. see Sazonov, V. V.; et al., (92b:65010) 

Vel‘ov, V. M. Second-order discrete approximation to linear differential inclusions. 
92m:49051 

Waltman, Paul see Fink, A. M.; et al., 92f:34016 

Wanner, G. see Hairer, Ernst, 92a:65016 

Wé6jtowicz, Bogdan Periodic solutions of integro-differential equations that contain an 
integral-power series. (Russian) 92k:34099 

Yumagulov, M.G. see Dement'eva, A. M.; et al., 92j:34083 

Zabreiko, P. P. see Barkova, E. A., 924:34125 


34A46 Theoretical solution methods other than approximations 


Chen, Wei Huan Existence of integrating factors for complete differential equations. 
(Chinese) 924:34026 

Neigauz, M. G. On the method of slow combinations for equations of chemical kinetics. 
(Russian) 92i:34016 


Items with secondary classifications in 34A46 


Bourquin, Frédéric Analysis and comparison of several component mode synthesis methods 
on one-dimensional domains. 92a:65323 


34A47 Bifurcation 


Items with secondary classifications in 34A47 

Alchekov, A. K. see Korolyuk, V. S., 92i:60113 

Aliev, Z.S. see Makhmudov, A. P., 924:47079 

Brown, K. J. (with Tertikas, Achilles) On the bifurcation of radially symmetric steady-state 
solutions arising in population genetics. 92e:92018 

Doedel, Eusebius J. see Friedman, Mark J., 92e:34058 

Fetkan, Michal Positive solutions of a certain type of two-point boundary value problems. 
92e:34030 

Fiebig-Wittmaack, Melitta On the number of solutions of a Duffing equation. 92h:34049 

Friedman, Mark J. (with Doedel, Eusebius J.) Numerical computation and continuation of 
invariant manifolds connecting fixed points. 92e:34058 

Firkotter, Monica (with Rodrigues, Hildebrando Munhoz) On harmonic and subharmonic 
solutions of nonlinear second order equations: symmetry and bifurcation. 92g:34049 

Heinz, Hans-Peter Bifurcation from the essential spectrum for nonlinear perturbations of 
Hill’s equation. 92e:34115 

Korolyuk, V.S. (with Alchekov, A. K.) Stability of an impulse ergodic Markov action. 
(Russian. Ukrainian summary) 92i:60113 

Krasnosel’skii, A.M. On the occurrence of large-amplitude oscillatory regimes in systems 
with saturation. (Russian) 92j:34075 

Kipper, Tassilo (with Stuart, Charles A.) Gap-bifurcation for nonlinear perturbations of 
Hill’s equation. 92¢c:47076 

— Verzweigung aus dem wesentlichen Spektrum. [Bifurcation from the essential spectrum] 
92e:58042 

Labisch, F. K. On shearable non-linearly elastic rings. 92h:73018 

Makhmudov, A. P. (with Aliev, Z.S.) Nondifferentiable perturbations of spectral problems 
for a pair of selfadjoint operators and global bifurcation. (Russian) 92d:47079 

Nguyén Xuan Tan A combination method for local bifurcation from characteristic values 
with multiplicity. 92j:47128 

Przybycin, Jolanta Some applications of bifurcation theory to ordinary differential 
equations of the fourth order. 92e:58043 

Rodrigues, Hildebrando Munhoz see Firkotter, Monica, 92g:34049 

Rother, Wolfgang! Existence and bifurcation results for a class of nonlinear boundary value 
problems in (0,00). 92k:34025 

Stuart, Charles A. see Kipper, Tassilo, 92c:47076 

Tertikas, Achilles see Brown, K. J., 92e:92018 


34A50 Numerical approximation of solutions {For numerical 
analysis, see 65Lxx.} 


Bao, Xue Song see Xu, Hong Yi; et al., 92d:34028 

BeneS, Karel Dynamic systems described by differential equations with singularities of the 
type § and their machine solving. 

Boyd, John Philip A comparison of numerical and analytical methods for the reduced wave 
equation with multiple spatial scales. 92g:34018 

Bittner, Mario (with Zakharov, A. Yu.; Sadkov, S. V.; Khantemirov, R. R.) On the 
application of the B-consistent W-method for solving stiff Cauchy problems. (Russian. 
English summary) 92m:34036 

Han, Guo Qiang Correct solution of finite difference and spline approximation for a class of 
singular two-point boundary value problems. 92m:34037 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 474 


Ignatovich, V.K. A new method for solving the one-dimensional Schrodinger equation. 
(Russian. English summary) 92m:34038 

Kenzhebaev, K. see Samoilenko, A. M.; et al., 92a:34016 

Khantemirov, R. R. see Bittner, Mario; et al., 92m:34036 

Lal, Mohan Iterative solution of nonlinear boundary value problems. 924:34027 

Laptinskii, V. N. see Samoilenko, A. M.; et al., 92a:34016 

Martynyuk, S. V. see Samoilenko, A. M.; et al., 92h:34032 

Petukhova, N. Yu. A numerical method for solving a singularly perturbed boundary value 
problem. (Russian. English summary) 92m:34039 

Ronto, N. I. see Samoilenko, A. M.; et al., 92h:34032 

Sadkov, S. V. see Biittner, Mario; et al., 92m:34036 

Samoilenko, A.M. (with Kenzhebaev, K.; Laptinskii, V. N.) Iterative methods for 
constructing solutions of multipoint boundary value problems. (Russian) 92a:34016 

— (with Ronto, N. I.; Martynyuk, S. V.) On a numerical-analytic method for problems with 
integral boundary conditions. (Russian. English summary) 92h:34032 

Vulanovié, Relja A second order numerical method for nonlinear singular perturbation 
problems without turning points. (Russian summary) 92e:34017 

Xu, Hong Yi (with Bao, Xue Song) A class of optimal methods for solving the second-order 
differential equation y” = f(x,y). (Chinese. English summary) 92d:34028 

Zakharov, A. Yu. see Bittner, Mario; et al., 92m:34036 


Items with secondary classifications in 34A50 

Abrahamsson, Leif (with Kreiss, Heinz-Otto) Explicit methods for mildly stiff oscillatory 
systems. 92h:65100 

— (with Kreiss, Heinz-Otto) Explicit methods for mildly stiff oscillatory systems. 
92h:65100 

Adomian, George A. (with Rach, R.C.) Linear and nonlinear Schrédinger equations. 
92g:81027 

Alexander, Roger The modified Newton method in the solution of stiff ordinary differential 
equations. 92a:65207 

Andersen, Carl M. (with Geer, James F.) Investigating a hybrid perturbation-Galerkin 
technique using computer algebra. 92i:65130 

Arnold, M. Linearly implicit Runge-Kutta methods for DAEs of index 1—two approaches. 
(see 92e:65003) 

Artem’ev, S.S. (with Shkurko, I. O.) Numerical analysis of dynamics of oscillatory 
stochastic systems. 92h:65205 

— see also Averina, T. A., 92k:65102 

Ascher, Uri M. (with Petzold, Linda R.) Projected implicit Runge-Kutta methods for 
differential-algebraic equations. 92f:65082 

Atdaev, S. * AnamuTHueckHe MeTOZbI ABYCTOPOHHHX NpHONHKeHHA A190 OObIKHOBCHHBIX 
auddepenuManbubix ypapenenut. (Russian) [Analytic methods of two-sided approxima- 
tions for ordinary differential equations] 92g:34017 

Auzinger, W. (with Frank, Reinhard M.; Kirlinger, G.) Error structures for stiff initial value 
problems. (see 92e:65003) 

— {with Frank, Reinhard M.; Kirlinger, G.) An extension of B-convergence for Runge- 
Kutta methods. 92k:65109 

Averina, T. A. (with Artem’ev, S. S.) * UncnenHoe MogenuposBanie B 3afa4ax ahaiu3a A 
CHHTe3a CTOXaCTHYeCKHX CHCTeM yipaBsieHua. (Russian) [Numerical modeling in problems 
of analysis and synthesis of stochastic control systems] 92k:65102 

Bai, Qing Yuan see Lin, Peng Cheng; et al., 92b:65053 

Bai, Yin A perturbed collocation method for boundary-value p 
algebraic equations. 92i:65123 

Bakaev, N. Yu. Estimates for the stability of the Runge-Kutta method for differential 
equations with a variable operator. (Russian. Ukrainian summary) 924d:65141 

Bao, Xue Song (with Xu, Hong Yi; Rui, You Cai) A class of multistep method containing 
second order derivatives for solving stiff ordinary differential equations. 92j:65105 

— (with Xu, Hong Yi) A class of optimal methods with the largest periodic interval for 
solving the differential equation y” = f(x,y). (Chinese. English summary) 

Barrlund, Anders Constrained least squares methods for linear time varying DAE systems. 
92h:65101 

Basov, A.M. see Dzyadyk, V. K., 92a:65223 

Bensch, F. see Nuiiez, Josué Arturo; et al., 924:34003 

Bobkov, V. V. (with Mandrik, P. A.; Repnikov, V. I.) Adaptive methods for numerical 
solution of stiff systems. 92k:65115 

Bramley, J.S. (with Dieci, Luca; Russell, Robert D.) Numerical solution of eigenvalue 
problems for linear boundary value ODEs. 924:65138 

Brenan, K. E. (with Campbell, Stephen L.; Petzold, Linda R.) * Numerical solution of 
initial value problems in differential-algebraic equations. 92¢:65001 

Brown, B. Malcolm (with Kirby, V.G.; Pryce, John D.) A numerical method for the 
determination of the Titchmarsh-Weyl m-coefficient. 92j:34047 

Bursal, E.H. (with Tongue, B. H.) A hybrid symbolic-numerical method for integrating 
ordinary differential equations. 92j:65096 

Campbell, Stephen L. see Brenan, K. E.; et al., 92e:65001 

Casastis Latorre, Luis see Gonzalez Pinto, Severiano; et al., 92k:65104 

Chen, Ming Lun (with Wang, Guo Ying) Completely exponentially finite difference 
methods for problems of turning point. (Chinese. English summary) 92¢:65105 

Costabile, F. (with Luceri, R.) A fifth-order explicit five-step method for the Cauchy 
differential problem. (Italian. English summary) 92i:65119 

Crisci, Maria Rosaria (with Russo, Elvira) P-stability of a class of methods derived from 
the tau method. 921:65129 

Delinitz, M. A computational method and path following for periodic solutions with 
symmetry. 924:65131 

Denisenko, P.M. An unsaturated method for the discretization of systems of linear 
differential equations that are not solved with respect to the derivatives. (Russian) 
92¢:65079 

Dieci, Luca see Bramley, J. S.; et al., 92d:65138 

Di Lena, G. (with Piazza, G.) Existence and stability of equilibrium states of Runge-Kutta 
schemes. (Italian. English summary) 92k:65111 

Doual, Nasser (with Howland, James L.; Vaillancourt, Rémi) Selective solutions to 
transcendental equations. 92h:65083 





in differential- 





475 1992 


Dovletov, D. M. A nonlocal boundary value problem of the first kind for the Sturm-Liouville 
operator in a differential and a difference interpretation. (Russian) 92¢:34036 

— Anonlocal boundary value problem of the first kind for the Sturm-Liouville operator in a 
differential and a difference formulation. (Russian) 92g:34030 

Dutchak, B. I. A method for increasing accuracy in the solution of differential equations by 
one-step methods. (Russian) 92j:65097 

Dzyadyk, V.K. (with Basov, A. M.) Effective solution of boundary value problems for 
systems of ordinary differential equations. (Russian) 92a:65223 

Eirola, T. (with Sanz-Serna, J. M.) Conservation of integrals and symplectic structure in the 
integration of differential equations by multistep methods. 92m:65090 

Fedorenko, R. P. Stiff systems of ordinary differential equations. (Russian. English 
summary) 92¢:65097 

Fil'ts, R. V. Numerical integration by implicit methods of nonlinear systems of algebro- 
differential equations multiplying the discontinuous first derivatives. (Russian) 
92a:65168 

Frank, Reinhard M. see Auzinger, W.; et al., 92k:65109 and (92e:65003) 

Fihrer, Claus (with Leimkuhler, B. J.) Numerical solution of differential-algebraic 
equations for constrained mechanical motion. 92f:65080 

Gear, C. W. (with Juang, Fen-Lien) The speed of waveform methods for ODEs. 92i:65113 

— see also Leimkuhler, B. J.; et al., 92e:65091 

Geer, James F. see Andersen, Carl M., 92i:65130 

Gonzalez Pinto, Severiano (with Casasis Latorre, Luis; Gonzalez-Vera, Pablo) Two 
uniform schemes for the singularly perturbed Riccati equation. 92k:65104 

Gonzalez-Vera, Pablo see Pérez-Acosta, Francisco, 92j:65122 and Gonzalez Pinto, Severiano; 
et al., 92k:65104 

Greengard, Leslie Spectral integration and two-point b y value problems. 92h:65033 

Griepentrog, Eberhard The numerical treatment of the motion equations of mass point 
systems. 92e:70001 

Grossman, Robert Using trees to compute approximate solutions to ordinary differential 
equations exactly. 92f:34011 

Grossmann, Christian Enclosures of the solution of the Thomas-Fermi equation by 
monotone discretization. 92m:65085 

Hairer, Ernst Order of convergence of Runge-Kutta methods for stiff and differential- 
algebraic problems. (see 92e:65003) 

Han, Guo Qiang Correction and extrapolation of difference and spline methods for singular 
boundary value problems. (Chinese. English summary) 92i:65125 

Hanke, Michael Approximation of higher index differential-algebraic systems. (see 
92¢:65003) 

Hansbo, Anita Error estimates for the numerical solution of a time-periodic linear parabolic 
problem. 92i:65159 

Hermann, Martin (with Ullrich, K.) RWPKV: a software package for continuation and 
bifurcation problems in two-point boundary value problems. 

Higham, Desmond J. Monotonic piecewise cubic interpolation, with applications to ODE 
plotting. 

Howland, James L. see Doual, Nasser; et al., 92h:65083 

Huang, Yun Qing Term by term asymptotic expansions of standard and nonstandard finite 
element solutions to two-point boundary value problems. (Chinese. English summary) 
92i:65131 

Jankowski, Tadeusz On the convergence of multistep methods for nonlinear two-point 
boundary value problems. 92¢:65090 

Jédar, Lucas Stable solutions of discrete eigenvalue problems. 92f:65091 

— Approximate solutions and error bounds for solving matrix differential equations without 
increasing the dimension of the problem. 92m:34019 

Juang, Fen-Lien see Gear, C. W., 92i:65113 

Khaliq, A.Q. M. see Twizell, E. H.; et al., 92j:65103 

Khamraev, Yu. Yu. see Makarov, I. L. 

Kiehl, M. Smoothing the function of the multiple-shooting equation. 92i:65128 

Kirby, V.G. see Brown, B. Malcolm; et al., 92j:34047 

Kirlinger, G. see Auzinger, W.; et al., 92k:65109 and (92¢:65003) 

Korsch, H. J. see Niiiez, Josué Arturo; et al., 92d:34003 

Kreiss, Heinz-Otto see Abrahamsson, Leif, 92h:65100 and 92h:65100 

Lambert, J. D. * Numerical methods for ordinary differential systems. 92i:65114 

Lee, Meei-Yow Lin Estimation of the error in the reduced basis method solution of 
differential algebraic equation systems. 92d:65120 

Leimkuhler, B. J. (with Petzold, Linda R.; Gear, C. W.) Approximation methods for the 
consistent initialization of differential-algebraic equations. 92¢:65091 

— see also Fihrer, Claus, 92£:65080 

Levitina, T. V. Conditions for the applicability of an algorithm for solving two-parameter 
selfadjoint boundary value problems. (Russian) 92k:34019 

Li, Shou Fu (with Yi, Meng Hong) (A, B, D)-methods for Volterra functional-differential 
equations. (Chinese. English summary) 92m:65166 

Lin, P. A numerical method for quasilinear singular perturbation problems with turning 
points. (German summary) 92h:65120 

Lin, Peng Cheng (with Bai, Qing Yuan) Numerical solution of nonlinear ordinary 
differential equation for a turning point problem. (Chinese. English summary) 92b:65053 

Linden, Hansjérg Leighton’s bounds for Sturm-Liouville eigenvalues with eigenvalue 
parameter in the boundary conditions. 924:34158 

Liseikin, V.D. see Petrenko, V. E., 92d:65143 

Luceri, R. see Costabile, F., 92i:65119 

Makarov, I. L. (with Khamraev, Yu. Yu.) Difference schemes of high order of accuracy in 
the case of nonselfadjoint boundary value p for systems of second-order linear 
ordinary differential equations with degeneration. (Russian) 

Mandrik, P. A. see Bobkov, V. V.; et al., 92k:65115 

Mannshardt, R. Enclosing a solution of an ordinary differential equation by sub- and 
superfunctions. (see 92d:65006) 

Marletta, Marco (with Pryce, John D.) Automatic solution of Sturm-Liouville problems 
using the Pruess method. 

Mi§rz, Roswitha Analysis and numerical treatment of differential-algebraic systems. 
92h:34008 

— On integration methods applied to higher index differential algebraic systems. (see 








34A General theory 


34A50 


92¢:65003) 

Marzulli, Pietro Global error estimates for the dard parallel sh 
924:65133 

Matar, S. A. see Twizell, E. H.; et al., 92j:65103 

Mika, Janusz R. (with Palczewski, Andrzej) Asymptotic analysis of singularly perturbed 
systems of ordinary differential equations. 92e:34068 

Molnarka, G. (with Raczkevi, B.) Stability analysis of implicit single step extra term 
method for solution of ordinary differential equations. 92m:65087 

Nakao, Mitsuhiro T. A numerical verification method for the existence of solutions for 
nonlinear boundary value problems. (see 92d:65006) 

— A numerical verification method for the existence of weak solutions for nonlinear 
boundary value problems. 92j:34043 

Niepage, Hans-Dietrich On the numerical solution of differential-algebraic equations with 
discontinuities. (see 92e:65003) 

Nipp, K. Numerical integration of stiff ODEs of singular perturbation type. (German 
summary) 92b:65062 

Niifiez, Josué Arturo (with Bensch, F.; Korsch, H. J.) On the solution of Hill’s equation 
using Milne’s method. 924:34003 

Palczewski, Andrzej see Mika, Janusz R., 92e:34068 

Pekar, Jan An algorithm for solving the three-point boundary value probl 
(Russian and Slovak summaries) 924:65134 

Pérez-Acosta, Francisco (with Gonzalez-Vera, Pablo) Computing rational collocation 
matrices. (Spanish. English summary) 92j:65122 

Peschel, Manfred Generalized exponentials and dynamical networks. 92d:34035 

Petrenko, V. E. (with Liseikin, V.D.) * Hexotopsie sonpocn! Ka¥ecTBeHHOTO H YHCeEHHOTO 
HCCJI€¢AOBaHHA CHHTYIAPHO-BOSMYIICHHBIX 3a1a4. (Russian) [Some problems in the 
qualitative and numerical investigation of singularly perturbed problems] 924:65143 

Petzold, Linda R. see Brenan, K. E.; et al., 92e:65001; Leimkuhler, B. J.; et al., 92e:65091 and 
Ascher, Uri M., 92f:65082 

Piazza, G. see Di Lena, G., 92k:65111 

Plum, Michael Verified existence and inclusion results for two-point boundary value 
problems. (see 92d:65006) 

— Computer-assisted existence proofs for two-point boundary value problems. (German 
summary) 924:34049 

Pogorelov, D. Yu. Iterative methods for investigating parametrically perturbed linear 
dynamical systems. (Russian) 92j:70020 

Popov, A. M. see Rozhkov, V. I., 92h:65116 

Potra, Florian A. (with Rheinboldt, Werner C.) On the numerical solution of Euler- 
Lagrange equations. 92i:65121 

— (with Yen, Jeng) Implicit numerical integration for Euler-Lagrange equations via tangent 
space parametrization. 92m:65105 

Pryce, John D. see Brown, B. Malcolm; et al., 92j:34047 and Marietta, Marco 

Qin, Meng Zhao Cross-schemes for equation ¥ = f(x). 92g:65088 

Rach, R.C. see Adomian, George A., 92g:81027 

Raczkevi, B. see Molnarka, G., 92m:65087 

Repnikov, V.I. see Bobkov, V. V.; et al., 92k:65115 

Rheinboldt, Werner C. see Potra, Florian A., 92i:65121 

Roche, Michel The numerical solution of differential-algebraic systems by Rosenbrock 
methods. (see 92e:65003) 

Roos, Hans-Gérg A uniformly convergent discretization method for a singularly perturbed 
boundary value problem of the fourth order. (Serbo-Croatian summary) 92¢:65108 

— An analytically oriented discretization technique for boundary value problems. 
92h:34058 

Rozhkov, V.1I. (with Popov, A. M.) Periodic solutions of Runge-Kutta difference schemes. 
(Russian) 92h:65116 

Rui, You Cai see Bao, Xue Song; et al., 92j:65105 

Rundell, William (with Sacks, Paul E.) Reconstruction techniques for classical inverse 
Sturm-Liouville problems. 92h:34034 

Russell, Robert D. see Bramley, J. S.; et al., 92d:65138 

Russo, Elvira see Crisci, Maria Rosaria, 92i:65129 

Sacks, Paul E. see Rundell, William, 92h:34034 

Sanz-Serna, J. M. The relations between numerical analysis and dynamical systems: a 
perspective. (Spanish. English summary) (see 92m:00052) 

— see also Eirola, T., 92m:65090 

Schneider, Klaus R. A note on the waveform relaxation method. 92h:65105 

Schwetlick, Hubert Nichtlineare Parameterschatzung: Modelle, Schatzkriterien und 
numerische Algorithmen. [Nonlinear parameter estimation: models, estimation criteria 
and numerical algorithms] 92j:65015 

Scovel, Clint Symplectic numerical integration of Hamiltonian systems. 92h:58004 

Shablitskaya, L. N. (with Yakut, L. I.) An algorithm for difference schemes that approxi- 
mate the Cauchy problem for ordinary differential equations of arbitrary order. (Russian) 

Shkurko, I. O. see Artem’ev, S. S., 92h:65205 

Sivasundaram, S. (with Sun, Yong) Application of interval analysis to impulsive differential 
equations. 92m:34035 

Slon‘ovs‘kii, R. V. Multistep rational numerical methods for the solution of stiff systems of 
differential equations. (see 92i:65009) 

Socea, D. Une résolution numérique du probleme de Cauchy relative a l’équation 
différentielle non-linéaire de premier ordre. (Romanian summary) [A numerical solution 
of the Cauchy problem for a first-order nonlinear differential equation] 

Spigler, Renato (with Vianello, Marco) Global existence and uniqueness for the Kummer 
transformation problem subject to non-Cauchy data. 92i:34018 

Srinivasu, P. D. N. (with Venkatesulu, M.) Quadratically convergent numerical schemes for 
nonstandard initial value problems. 92m:65089b 

— see also Venkatesulu, M., 92m:65089a 

Stewart, David Edward A high accuracy method for solving ODEs with discontinuous right- 
hand side. 92c:65081 

Sun, Xiao Di The Abrahamsson scheme for a singularly perturbed turning point problem. 
(Chinese. English summary) 92m:65100 

Sun, Yong see Sivasundaram, S., 92m:34035 

Tongue, B. H. see Bursal, E. H., 92j:65096 





ing method. 


for O.D.E. 








34A50 


Twizell, E.H. (with Matar, S. A.; Voss, D. A.; Khaliq, A. Q. M.) Explicit numerical 
methods with enhanced stability properties for first-order autonomous initial value 
problems. 92j:65103 

Ullrich, K. see Hermann, Martin 

Urbani, A.M. Modified ROW methods for stiff problems. (Italian. English summary) 
92m:65088 

Vaillancourt, Rémi see Doual, Nasser; et al., 92h:65083 

Venkatesulu, M. (with Srinivasu, P. D.N.) Numerical solutions of nonstandard first order 
initial value problems. 92m:65089a 

— see also Srinivasu, P. D. N., 92m:65089b 

Vianello, Marco see Spigler, Renato, 92i:34018 

Voss, D. A. see Twizell, E. H.; et al., 92j:65103 

Vulanovié, Relja On numerical solution of quasilinear boundary value probl 
small parameters. 92j:65117 

— Some switching schemes for quasilinear singular perturbation problems. 92k:65116 

Wang, Guo Ying see Chen, Ming Lun; et al., 92e:65105 

Xu, Hong Yi see Bao, Xue Song; et al., 92j:65105 

Yakut, L. I. see Shablitskaya, L. N. 

Yen, Jeng see Potra, Florian A., 92m:65105 

Yi, Meng Hong see Li, Shou Fu; et al., 92m:65166 

Zhang, Guang Yu An improvement on numerical solutions to stiff and highly oscillatory 
systems of ordinary differential equations. (Chinese. English summary) 92i:65117 


with two 





34A55 Inverse problems 


Acharyya, Sudip Kumar see Chakravarty, N. K., 92h:34033 

Andersson, Lars-Erik Algorithms for solving inverse eigenvalue problems for Sturm- 
Liouville equations. (see 92a:00040) 

Chakravarty, N. K. (with Acharyya, Sudip Kumar) On an inverse problem involving a 
second-order differential system. 92h:34033 

Chen, X. A. (with Zhang, Wen Xun) Differential operator method for one-dimensional 
inverse scattering problems. 

Choulli, M. Abstract inverse problem and application. 92k:34015 

Frangos, Panayiotis V. (with Jaggard, Dwight L.) Analytical and numerical solution to the 
two-potential Zakharov-Shabat inverse scattering problem. 

Gasymov, M. G. (with Guseinov, I. M.; Nabiev, I. M.) An inverse problem for the Sturm- 
Liouville operator with nonseparable selfadjoint boundary conditions. (Russian) 
92b:34027 

Gonchar, A. A. (with Novikova, N. N.; Khenkin, G. M.) Multipoint Padé approximants in 
an inverse Sturm-Liouville problem. (Russian) 92j:34030 

Gorbachuk, M. L. (with Knyukh, B.1I.) An inverse problem for the elliptic Sturm-Liouville 
equation in a Hilbert space. (Russian. Ukrainian summary) 92m:34040 

Guillot, J.-C. (with Ralston, James V.) Inverse spectral theory for a singular Sturm- 
Liouville operator on [0, 1]. 92d:34029 

Guseinov, I. M. see Gasymov, M. G.; et al., 92b:34027 

Jaggard, Dwight L. see Frangos, Panayiotis V. 

Khenkin, G. M. see Gonchar, A. A.; et al., 92j:34030 

Knyukh, B.I. see Gorbachuk, M. L., 92m:34040 

McLaughlin, Joyce R. An inverse eigenvalue problem and an extremal eigenvalue problem. 
(see 92a:00040) 

Nabiev, I. M. see Gasymov, M. G.; et al., 92b:34027 

Novikova, N. N. see Gonchar, A. A.; et al., 92j:34030 

Ralston, James V. see Guillot, J.-C., 92d:34029 

Rundell, William (with Sacks, Paul E.) Reconstruction techniques for classical inverse 
Sturm-Liouville problems. 92h:34034 

Sacks, Paul E. see Rundell, William, 92h:34034 

Yamamoto, Masahiro Inverse eigenvalue problem for a vibration of a string with viscous 
drag. 92e:34018 

Zhang, Wen Xun see Chen, X. A. 


Items with secondary classifications in 34A55 

Abiowitz, Mark J. Painlevé equations and the inverse scattering and inverse monodromy 
transforms. 92¢:35147 

— see also Villarroel, Javier, 92k:58130 

Anders, I. A. (with Kotlyarov, V. P.) Characterization of scattering data for Schrodinger 
and Dirac operators. (Russian. English summary) 92m:34187 

Anger, Gottfried * Inverse problems in differential equations. 92b:35166a 

— * Inverse problems in differential equations. 92b:35166b 

Anikonov, Yu. E. Inverse problems for nonlinear equations, and synergetics. (Russian) 
92b:35168 

Babasyan, S. V. An inverse scattering problem for higher-order differential operators on a 
half-line. (Russian. English and Armenian summaries) 92e:34119 

Baev, A. V. Solution of inverse problems of dissipative scattering theory. (Russian) 
92a:35159 

Beals, Richard (with Sattinger, D. H.) On the complete integrability of completely 
integrable systems. 92m:58051 

Berezanskii, Yu. M. Inverse problems of spectral analysis and the integration of nonlinear 
equations. 92b:58180 

Bogdanov, L. V. (with Zakharov, V.E.) Decreasing solutions and dispersion laws in a (2 + 
1)-dimensional dressing method. (Russian) 92k:35264 

Bogolyubov, N. N., Jr. (with Prikarpat-skii, A.K.) A bilocal periodic problem for Sturm- 
Liouville and Dirac operators, and some applications in the theory of nonlinear 
dynamical systems. I. (Russian. Ukrainian summary) 92a:58059 

Clarkson, Peter A. see Kruskal, Martin D., 92k:35245 

Deift, Percy (with Zhou, Xin) Direct and inverse scattering on the line with arbitrary 
singularities. 92g:34112 

— Inverse scattering on the line—an overview. (see 92d:00026) 

Dubrovskii, V.G. (with Konopel'chenko, B. G.) Coherent structures for the Ishimori 
equation. I. Localized solitons with stationary boundaries. 92f:35126 

— see also Konupel/chenko, B. G., 92k:35244 


ORDINARY DIFFERENTIAL EQUATIONS 1992 476 


Eremin, M.S. On the spectral matrix of the Sturm-Liouville equation with an impurity 
potential that is bounded on the line. (Russian) 92c:34098 

Fokas, Athanassios S. see Sung, Li-Yeng, 92d:34157 

Frenkin, A. R. see Gostev, V. B., 92j:81027 

Geng, Xian Guo A quintic Hamiltonian system that generates the reflectionless potential of 
the Jaulent-Miodek equation. (Chinese) 92d:35277 

Gladwell, G. M. L. Conditions on the data in inverse problems in vibration. (see 92a:00040) 

— The application of Schur’s algorithm to an inverse eigenvalue problem. 924:65139 

Gostev, V. B. (with Frenkin, A. R.) An oscillator with a centrifugal barrier. The inverse 
problem. (Russian. English summary) 92j:81027 

Kappeler, Thomas Fibration of the phase space for the Korteweg-de Vries equation. (French 
summary) 92k:58212 

Khasanev, A. B. The inverse scattering problem for a perturbed finite-gap Sturm-Liouville 
operator. (Russian) 92¢:34120a 

— The inverse scattering problem for a perturbed finite-gap Sturm-Liouville operator. 
(Russian) 92e:34120b 

Khristov, E. Kh. see Zhidkov, E. P., 92i:58145 

Khuri, N. N. Inverse scattering revisited: explicit solution of the Marchenko-Martin 
method. 92a:81218 

Kirst, Th. Inverse scattering, output kernels, and Jost solutions. 92d:81146 

Kobayashi, Mei Sturm-Liouville systems with potentials 0.5 cos 2nx. 92a:65229 

(Kocherga, O. D.) see Sitenko, A. G., 92e:81279 

Konopel’chenko, B. G. (with Dubrovskii, V.G.) Inverse spectral transform for the modified 
Kadomtsev-Petviashvili equation. 92k:35244 

— see also Dubrovskii, V. G., 92£:35126 

Kotlyarov, V. P. see Anders, I. A., 92m:34187 

Kruskal, Martin D. (with Clarkson, Peter A.) The Painlevé-Kowalevski and poly-Painlevé 
tests for integrability. 92k:35245 

Marchenko, V. A. The Cauchy problem for the KdV equation with nondecreasing initial 
data. 924:34156 

Melik-Adamyan, F.E. A class of canonical differential operators. (Russian. English and 
Armenian summaries) 92a:47056 

Melnikov, V. K. Integration of the nonlinear Schroedinger equation with a self-consistent 
source. 92b:35145 

Mishev, Yordan Perrov Crum-Krein transforms and A-operators for radial Schrédinger 
equations. 92b:34105 

Orlovskii, D.G. An inverse problem for an equation of hyperbolic type in a Hilbert space. 
(Russian) 92m:35274 

Pan, Tao (with Qian, Min) Conditionally periodic solutions to nonlinear Schrédinger 
equations—inverse spectral problem of Dirac operators. 92a:35149 

Pastur, L. A. (with Tkachenko, Vadim Aleksandrovich) An inverse problem for a class 
of one-dimensional Schrédinger operators with complex periodic potential. (Russian) 
92¢:34099 

Podol'skii, V. E. Reconstruction of the Sturm-Liouville operator from its weighted zeta- 
function. (Russian) 92d:34160 

(Pontecorvo, G.) see Zakhar'ev, B. N., 92d:81142 

Prikarpat-skii, A. K. see Bogolyubov, N. N., Jr., 92a:58059 

Qian, Min see Pan, Tao; et al., 92a:35149 

Rojo, Oscar (with Soto, Ricardo) Conditions for an additive inverse eigenvalue problem. 
(Spanish) 92j:15006 

Sabatier, Pierre C. Spectral transform for nonlinear evolution equations with N space 
dimensions. 

Sakhnovich, A. L. The N-wave problem on the half-line. (Russian) 92j:35182 

Sakhnovich, L. A. A hyperbolic sine-Gordon equation. (Russian) 92i:35111 

— Integrable nonlinear equations on the semi-axis. (Russian. Ukrainian summary) 
92m:35240 

Sattinger, D. H. see Beals, Richard, 92m:58051 

Schwetlick, Hubert Nichtlineare Parameterschatzung: Modelle, Schatzkriterien und 
numerische Algorithmen. [Nonlinear parameter estimation: models, estimation criteria 
and numerical algorithms] 92j:65015 

Simbirskii, M. N. The inverse Sturm-Liouville problem for almost periodic potentials with 
positive Fourier exponents. (Russian. English summary) 92e:34123 

Sitenko, A. G. * Scattering theory. 92e:81279 

Snieder, Roel An extension of Backus-Gilbert theory to nonlinear inverse problems. 
92¢:65066 

Soto, Ricardo see Rojo, Oscar, 92j:15006 

Sung, Li-Yeng (with Fokas, Athanassios S.) Inverse problem for N x N hyperbolic systems 
on the plane and the N-wave interactions. 924:34157 

Suz‘ko, A. A. see Zakhar'ev, B. N., 92d:81142 

Tkachenko, Vadim Aleksandrovich see Pastur, L. A., 92c:34099 

Villarroel, Javier (with Ablowitz, Mark J.) On the Hamiltonian formalism for the Davey- 
Stewartson system. 92k:58130 

Yurko, V. A. A problem in elasticity theory. (Russian) 92b:73032 

— Integration of the Boussinesq equation on the half-line. (Russian) 92i:35102 

— Determination of differential operators on the half-line. (Russian) 92j:47090 

— Solution of the Boussinesq equation on the half-line by the inverse problem method. 
92m:35225 

Zakhar'ev, B. N. (with Suz’ko, A. A.) * Direct and inverse problems. 92d:81142 

Zakharevich, I.S. Spectral problems for the Sturm-Liouville equation with a parameter. 
The geometry of finite-gap potentials. (Russian) 92h:34162 

Zakharov, V. E. see Bogdanov, L. V., 92k:35264 

Zhang, Bing-Yu Unique continuation for the Korteweg-de Vries equation. 92k:35252 

Zhidkov, E. P. (with Khristov, E. Kh.) Spectral problems of mathematical physics related 
to nonlinear equations of the KdV type. (Russian. English summary) 92i:58145 

Zhou, Xin see Deift, Percy, 92g:34112 


34A60 Equations with multivalued right-hand sides 
[see also 49J24, 49K24] 


Artstein, Zvi Extensions of Lipschitz selections and an application to differential inclusions. 





477 1992 


924:34030 

Aubin, Jean-Pierre (with Da Prato, Giuseppe) Solutions contingentes de l’équation de 
la variété centrale. (English summary) [Contingent solutions to the center manifold 
equation] 92b:34028 

Barabanov, N. E. Stability of two-dimensional differential inclusions. (Russian) 92c¢:34013 

Biles, Daniel C. (with Spraker, John S.) A study of almost-everywhere singleton-valued 
Filippovs. 92¢:34019 

Bonanno, Gabriele (with Marano, Salvatore A.) Random differential inclusions depending 
on a parameter. 92h:34035 

Bressan, A., Jr. Selections of Lipschitz multifunctions generating a continuous flow. 
92h:34036 

Cellina, Arrigo (with Staicu, Vasile) On evolution equations having monotonicities of 
opposite sign. 92¢:34014 

— (with Staicu, Vasile) Well posedness for differential inclusions on closed sets. 92f:34012 

Da Prato, Giuseppe see Aubin, Jean-Pierre, 92b:34028 

Davideanu, Catalina The study of a class of multivoc differential equations. (Romanian 
summary) 924:34031 

De Blasi, F.S. (with Pianigiani, G.) Non-convex-valued differential inclusions in Banach 
spaces. 92h:34037 

Erbe, Lynn H. (with Kx 
92c:34015 

Frankowska, Halina (with Quincampoix, Marc) Viability kernels of differential inclusions 
with constraints: algorithm and applications. 92m:34041 

Frigon, Marlene Problémes aux limites pour des inclusions différentielles sans condition de 
croissance. (English summary) [Boundary value probl for differential inclusions with 
no growth condition] 92k:34016 

Fryszkowski, Andrzej (with Rzezuchowski, Tadeusz) Continuous version of Filippov- 
Wazewski relaxation theorem. 92j:34031 

Gavioli, Andrea Approximation from the exterior of a multifunction and its applications in 
the “sweeping process”. 92h:34038 

Goncharov, V. V. Existence of solutions of a class of differential inclusions on a compact set. 
(Russian) 92¢:34020 

Guseinov, Kh. G. (with Ushakov, V.N.) Strongly and weakly invariant sets with respect to 
a differential inclusion, their derivatives and application to control problems. (Russian) 
92b:34029 

— Strongly invariant sets and periodic solutions of a differential inclusion. (Russian) 
92¢:34016 

HaStak, Alexander Asymptotic and integral equivalence of multivalued differential systems. 
92c:34017 

Hu, Shou Chuan (with Lakshmikantham, V.; Papageorgiou, Nikolaos S.) On the solution 
set of nonlinear evolution inclusions. 92m:34042 

K4nnai, Zoltén Viability theorems with convex and weakly compact right-hand side. 
92m:34043 

— (with Tallés, Péter) Viable trajectories of nonconvex differential inclusions. 92m:34044 

Khoang Zyong Tuan A theorem on the continuous parameter dependence of the solution 
set of differential inclusions in a Banach space with closed right-hand side. (Russian. 
Ukrainian summary) 92m:34045 

Krawcewicz, W. see Erbe, Lynn H., 92c:34015 

Lakshmikantham, V. see Hu, Shou Chuan; et al., 92m:34042 

Marano, Salvatore A. see Bonanno, Gabriele, 92h:34035 

Naselli Ricceri, Ornella (with Ricceri, Biagio) Differential inclusions depending on a 
parameter. (Russian summary) 92e:34021 

Nguyén Dinh Huy Existence of solutions for a class of differential inclusions with memory. 
92¢e:34022 

Papageorgiou, Nikolaos S. Sensitivity analysis of evolution inclusions and its applications to 
the variational stability of optimal control problems. 92a:34017 

— Existence of monotone, y-minimal solutions of differential inclusions. 92h:34039 

— see also Hu, Shou Chuan; et al., 92m:34042 

Pianigiani, G. see De Blasi, F. S., 92h:34037 

Polovinkin, E.S. The properties of continuity and differentiation of solution sets of 
Lipschitzean differential inclusions. 92h:34040 

Quincampoix, Marc see Frankowska, Halina, 92m:34041 

Ricceri, Biagio see Naselli Ricceri, Ornella, 92¢:34021 

Rzezuchowski, Tadeusz see Fryszkowski, Andrzej, 92j:34031 

Saint-Pierre, Patrick Viability of boundary of the viability kernel. 92h:34041 

Smirnov, G. V. The topological properties of an integral funnel of a differential inclusion 
with a Lipschitz right-hand side. (Russian) 92d:34032 

Spraker, John S. see Biles, Daniel C., 92¢:34019 

Staicu, Vasile (with Wu, He) Arcwise connectedness of solution sets to Lipschitzean 
differential inclusions. (Italian summary) 92i:34017 

— see also Cellina, Arrigo, 92c:34014 and 92£:34012 

Tallés, Péter see Kannai, Zoltan, 92m:34044 

Ushakov, V. N. see Guseinov, Kh. G., 92b:34029 

Viadimirov, A. A. Differential inclusions with nonstationary maximal monotone operators. 
(Russian) 92¢:34018 

Wu, He see Staicu, Vasile, 92i:34017 

Zhu, Qi Ji On the solution set of differential inclusions in Banach space. 92h:34042 





icz, W.) Boundary value probl for differential inclusions. 





Items with secondary classifications in 34A60 

Abushaev, E. N. see Povolotskii, A. I., (92g:47002) 

Adje, Assohoun Sur-et sous-solutions pour une certaine classe de problémes aux limites 
multivoques avec des conditions aux limites non lineaires. (English summary) [Super- and 
subsolutions for a certain class of multivalued boundary value problems with nonlinear 
boundary conditions] 92c:34023 

Aftabizadeh, A. R. (with Pavel, Nicolae H.) Nonlinear boundary value problems for 
some ordinary and partial differential equations associated with monotone operators. 
92h:47091 

Aseev, S.M. Smooth approximations of differential inclusions and the time-optimality 
problem. (Russian) 92m:49039 


34A General theory 


34A60 


Aubin, Jean-Pierre (with Frankowska, Halina) Controllability and observability of control 
systems under uncertainty. 92a:93016 

— * Viability theory. 92k:49003 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Nonconvex perturbations of 
evolution equations with m-dissipative operators in Banach spaces. 92h:35093 

Bobylév, N. A. (with Kondakov, G. V.) A deformation method for studying nonsmooth 
optimization problems. (Russian) 92j:49009 

Bulgakov, A. I. Continuous selections of multivalued mappings, and functional-differential 
inclusions with a nonconvex right-hand side. (Russian) 92j:54025 

Cardinali, Tiziana (with Papalini, Francesca) Characterization of the lower semicontinuity 
of the boundary of a multifunction in normed spaces. (Italian. English summary) 
92j:47097 

— Relations between a multifunction and its boundary. (Italian) 92m:28019 

Colli, Pierluigi (with Visintin, Augusto) On a class of doubly nonlinear evolution equations. 
92¢e:47120 

Dawidowski, Marian Hyperbolic differential inclusions with nonconvex right hand side. 
92k:35305 

Donchev, Tzanko Donchev Functional-differential inclusion with monotone right-hand side. 
92a:34070 

Fan, Xian Ling (with Wang, Bi Xiang) Remarks on periodic solutions of prescribed energy 
for singular Hamiltonian systems. 92i:58150 

Filippova, T. F. Connectivity of the information set of an observable system. (Russian) 
92b:93016 

Finogenko, I. A. Functional-differential inclusions on closed subsets. (Russian) 92g:34085 

Frankowska, Halina see Aubin, Jean-Pierre, 92a:93016 

Goncharov, V. V. (with Tolstonogov, A. A.) Continuous selectors and properties of 
solutions of differential inclusions with m-accretive operators. (Russian) 92h:34122 

— (with Tolstonogov, A. A.) Common continuous selections of multivalued mappings with 
nonconvex values, and their applications. (Russian) 92k:47099 

Guseinov, Kh. G. (with Ushakov, V. N.) Differential properties of integral funnels and 
stable bridges. (Russian) 92d:49006 

Huang, Fa Lun (with Liang, Jin; Xiao, Ti Jun) Fixed points of set-valued mappings and 
existence of solutions and periodic solutions to differential inclusions. (Chinese. English 
summary) 92m:47113 

Kaczynski, Tomasz Implicit differential equations which are not solvable for the highest 
derivative. 92i:34026 

Kisielewicz, Michal (with Motyl, Jerzy) Controllability of the neutral functional-differential 
inclusion with M-dissipative right hand side. 92:93015 

Komarov, V. A. Necessary and sufficient conditions for optimality in a time-optimality 
problem with phase constraints. (Russian) 92b:49042 

— (with Pevchikh, K. E.) A method for the approximation of attainability sets of differential 
inclusions with given accuracy. (Russian) 92a:93014 

Kondakov, G. V. see Bobylév, N. A., 92j:49009 

Kravvaritis, Dimitrios (with Papageorgiou, Nikolaos S.) A boundary value problem for a 
class of evolution inclusions. 92e:47116 

Levakov, A. A. Stability of periodic systems. (Russian. English summary) 92¢:34056 

Liang, Jin see Huang, Fa Lun; et al., 92m:47113 

Luczak-Kumorek, Elzbieta The existence theorem for neutral functional-differential 
inclusions. 924:34131 

Macki, Jack W. (with Nistri, Paolo; Zecca, Pietro) A theoretical justification of the method 
of harmonic balance for systems with discontinuities. 92i:34046 

Makhmudov, E. N. Sufficient conditions for optimality on a nonfixed time interval for 
differential inclusions with delay, and duality. (Russian) 92i:49041 

— A sufficient condition for optimality for convex differential inclusions with distributed 
parameters, and duality. (Russian) 92j:49021 

— Optimization of differential inclusions with a phase constraint, and duality. (Russian) 
92k:49044 

Maruyama, Toru A variational problem governed by a multi-valued differential equation in 
a separable Hilbert space. 92b:49009 

Minchenko, L. I. Optimal trajectories of differential inclusions in a problem with con- 
straints on the ends of the trajectories. (Russian) 92b:49010 

— On the extremality of trajectories of differential inclusions with phase constraints. 
(Russian) 92¢:49007 

— Derivatives of multivalued mappings and the maximum principle for differential 
inclusions. (Russian) 92j:49022 

— A problem for the optimal control of differential inclusions. (Russian. English summary) 
92m:49040 

Mirenghi, Elvira (with Salvatore, Addolorata) Periodic solutions of Lagrangian inclusions. 
92i:49020 

Motyl, Jerzy On the minimal solution property of neutral functional-differential inclusion. 
92m:34185 

— see also Kisielewicz, Michal, 92f:93015 

Naselli Ricceri, Ornella Classical solutions of the problem x’ € F(t,x,x’), x(to) = 
Xo, X’(to) = Yo in Banach spaces. 92d:34129 

Nistri, Paolo see Macki, Jack W.; et al., 92i1:34046 

Nowakowski, Andrzej (with Rogowski, Andrzej) Periodic solutions for a class of nonlinear 
hyperbolic equations. 92i:49007 

Ornelas, A. Approximation of relaxed solutions for lower semicontinuous differential 
inclusions. 92m:28018 

Papageorgiou, Nikolaos S. Optimal control of nonlinear evolution inclusions. 92b:49012 

— Sensitivity analysis of evolution inclusions and its applications to the variational stability 
of optimal control problems. 92m:49046 

— On the optimal control and relaxation of finite-dimensional systems driven by maxima! 
monotone differential inclusions. (Russian summary) 92i:49008 

— see also Krawvaritis, Dimitrios, 92e:47116 and Avgerinos, Evgenios P., 92h:35093 

Papalini, Francesca see Cardinali, Tiziana, 92j:47097 

Pavel, Nicolae H. see Aftabizadeh, A. R., 92h:47091 

Pevchikh, K. E. see Komaroy, V. A., 92a:93014 

Povolotskii, A. I. (with Abushaev, E. N.) Almost periodic multivalued functions. (Russian) 
(see 92g:47002) 





34A60 


Quincampoix, Marc Target problems and viability kernels. 92h:49002 

— Differential inclusions and target problems. (French summary) 92k:49010 

Ricceri, Biagio On the Cauchy problem for the differential equation f(t, x, x’,---,x) =0. 
92j:34004 

Rogowski, Andrzej see Nowakowski, Andrzej, 92i1:49007 

Ryan, E. P. Finite-time stabilization of uncertain nonlinear planar systems. 92f:93104 

— A universal adaptive stabilizer for a class of nonlinear systems. 92g:93082 

Salvadori, Anna Integral functionals convergence and connections with some variational 
inequalities. (Russian summary) 924:49018 

Salvatore, Addolorata see Mirenghi, Elvira, 92i:49020 

Smirnov, G. V. * Cna6as acamnToTHueckas yCTOHYMBOCTE LuddepeHHaIbHbIX BKIOYeCHHH 
nlo neppomy npu61uxeHuw. (Russian) [Weak asymptotic stability of differential inclusions 
according to the first approximation] 92h:34099 

— Discrete approximations and optimal solutions of differential inclusions. (Russian. 
English and Ukrainian summaries) 92h:49019 

Tallés, Péter Viability problems for nonautonomous differential inclusions. 92b:49014 

Timoumi, Mohsen Solutions périodiques de systemes hamiltoniens convexes non coercitifs. 
(English summary) [Periodic solutions of noncoercive convex Hamiltonian systems] 
92m:58112 

Tolstonogov, A. A. Extremal selectors of multivalued mappings and the “bang-bang” 
principle for evolution inclusions. (Russian) 92f:49011 

— Properties of integral solutions of differential inclusions with m-accretive operators. 
(Russian) 92k:47127 

— see also Goncharov, V. V., 92h:34122 and 92k:47099 

Ushakov, V.N. see Guseinov, Kh. G., 924:49006 

Valadier, Michel Lipschitz approximation of the sweeping (or Moreau) process. 92i:49039 

Vel’ov, V. M. Second-order discrete approximation to linear differential inclusions. 
92m:49051 

Visintin, Augusto see Colli, Pierluigi, 92e:47120 

Viadimirov, A. A. Nonstationary dissipative evolution equations in a Hilbert space. 
92h:47099 

Wang, Bi Xiang see Fan, Xian Ling, 92i:58150 

Xiao, Ti Jun see Huang, Fa Lun; et al., 92m:47113 

Zecca, Pietro see Macki, Jack W.; et al., 92i:34046 


34A65 Stiff equations 


Items with secondary classifications in 34A65 

Abrahamsson, Leif (with Kreiss, Heinz-Otto) Explicit methods for mildly stiff oscillatory 
systems. 92h:65100 

Alexander, Roger The modified Newton method in the solution of stiff ordinary differential 
equations. 92a:65207 

Auzinger, W. (with Frank, Reinhard M.; Kirlinger,G.) Error structures for stiff initial value 
problems. (see 92e:65003) 

Bobkov, V. V. (with Mandrik, P. A.; Repnikov, V. I.) Adaptive methods for numerical 
solution of stiff systems. 92k:65115 

Bodnarchuk, Fr. i. One-step iterative numerical methods for studying stiff problems. 
(Russian. English summary) 92¢:65090 

Bittner, Mario (with Zakharov, A. Yu.; Sadkov, S. V.; Khantemirov, R. R.) On the 
application of the B-consistent W-method for solving stiff Cauchy problems. (Russian. 
English summary) 92m:34036 

Deuflhard, P. J. Uniqueness theorems for stiff ODE initial value problems. (see 92d:65009) 

Fedorenko, R. P. Stiff systems of ordinary differential equations. (Russian. English 
summary) 92c:65097 

Frank, Reinhard M. see Auzinger, W.; et al., (92e:65003) 

Kaps, Peter (with Ostermann, Alexander) L(a)-stable variable order Rosenbrock methods. 
(see 92e:65003) 

Khantemirov, R. R. see Bittner, Mario; et al., 92m:34036 

Kirlinger, G. see Auzinger, W.; et al., (92¢:65003) 

Kreiss, Heinz-Otto see Abrahamsson, Leif, 92h:65100 

Mandrik, P. A. see Bobkov, V. V.; et al., 92k:65115 

Ostermann, Alexander see Kaps, Peter, (92¢e:65003) 

Pavlov, B. V. (with Rodionova, O. E.) Numerical solution of stiff locally unstable systems of 
ordinary differential equations. (Russian. English summary) (see 92b:65010) 

Petukhova, N. Yu. A numerical method for solving a singularly perturbed boundary value 
problem. (Russian. English summary) 92m:34039 

Platonov, A. K. see Sazonov, V. V.; et al., (92b:65010) 

Repnikov, V.1. see Bobkov, V. V.; et al., 92k:65115 

Rodionova, O. E. see Pavlov, B. V., (92b:65010) 

Sadkov, S. V. see Bittner, Mario; et al., 92m:34036 

Sazonov, V. V. (with Starostin, E. L.; Platonov, A. K.) A numerical method for constructing 
steady-state regimes for tracking systems. (Russian. English summary) (see 92b:65010) 

Schmitt, Bernhard A. Krylov approximations for matrix square roots in stiff boundary value 
problems. 92¢:65109 

Shirkov, P. D. Rosenbrock schemes with complex coefficients for stiff systems of differential 
equations. (Russian. English summary) (see 92b:65010) 

Slon’ovs‘kii, R. V. New fractional-rational numerical methods for solving stiff systems. 
(Russian. English summary) 92f:65095 

Starostin, E. L. see Sazonov, V. V.; et al., (92b:65010) 

Urbani, A.M. Modified ROW methods for stiff problems. (Italian. English summary) 
92m:65088 

Zakharov, A. Yu. see Bittner, Mario; et al., 92m:34036 

Zhang, Guang Yu An improvement on numerical solutions to stiff and highly oscillatory 
systems of ordinary differential equations. (Chinese. English summary) 92i:65117 


34A99 None of the above, but in this section 


Agoshkov, V.I. (with Ipatova, V.M.) * O6 ucnomb30BaHHH 3aKOHOB COXpaHeHHA Ip 
NOCTPOeCHHH CONPAXKEHHbIX OnepaTopos. (Russian) [The use of conservation laws in the 


ORDINARY DIFFERENTIAL EQUATIONS 


construction of dual operators] 92g:34019 

Alarcon Athens, Winston A lemma on integrating factors. (Spanish) (see 92e:00013) 

Craciunas, P.T. see Mangeron, Dumitru Ion; et al. 

Cveticanin, L. An approximate solution for a system of two coupled differential equations. 

Dudek-Chwatek, Elzbieta The Bessel operators and its product with application to the 
boundary problems. (Polish summary) (see 92c:00013) 

Exton, Harold The doubly confluent Heun equation: a differential equation associated with 
the naked singularity in cosmology. (Italian summary) 92m:34046 

Fridman, L. M. Singular redefinitions of discontinuous systems, and stability. (Russian) 
92b:34030 

Guggenheimer, H. Applications of the theory of generalized differential equations. 
92m:34047 

Illner, Reinhard (with Wick, Joachim) On statistical and measure-valued solutions of 
differential equations. 92g:34020 

Ipatova, V. M. see Agoshkov, V. I., 92g:34019 

Lenyuk, M. P. see Mangeron, Dumitru Ion; et al. 

Mangeron, Dumitru Ion (with Lenyuk, M. P.; Craciunas, P. T.) Differential systems that 
generate classes of functions and their applications. III. Fourier-Hankel hybrid integral 
transformations of the second kind on a right-bounded axis and their applications to 
problems in mathematical physics. (Russian. French summary) 

Moreira, I.C. (with Ritter,O.M.) Lie symmetries and invariants for the time-dependent 
generalizations of the equation R + C,R"L+C,;R"R=0. 92d:34033 

Mortola, Stefano (with Peirone, Roberto) The homogenization of an ordinary differential 
equation with a chessboard structure. (Italian. English summary) 924:34034 

Olver, Peter J. A nonlinear differential operator series that commutes with any function. 
92m:34048 

Peirone, Roberto see Mortola, Stefano, 92d:34034 

Peschel, Manfred Generalized exponentials and dynamical networks. 924:34035 

Ritter,O.M. see Moreira, I. C., 92d:34033 

Rubel, Lee A. The differential equation y’” = 0 revisited. 92d:34036 

Spigler, Renato (with Vianello, Marco) Global existence and uniqueness for the Kummer 
transformation problem subject to non-Cauchy data. 92i:34018 

Vianello, Marco see Spigler, Renato, 92i:34018 

Wick, Joachim see Iliner, Reinhard, 92g:34020 

Zabov, V.I. Interpolation of systems of differential equations. (Russian) 92h:34043 


Items with secondary classifications in 34A99 

Adam, John A. Solution uniqueness and stability criteria for a model of growth factor 
production. 

Adamchik, V.S. Wronskians of differential equations of hypergeometric type. (Russian) 
(see 92a:35004) 

Adomian, George A. A review of the decomposition method and some recent results for 
nonlinear equations. 92h:00002a 

— A review of the decomposition method and some recent results for nonlinear equations. 
92h:00002b 

— Errata to: “A review of the decomposition method and some recent results for nonlinear 
equations”. 92h:00002c 

— (with Rach, R. C.) Nonlinear transformation of series. II. 

Al-Bassam, M. A. On applications of fractional calculus to differential equations of special 
functions. 92m:26008 

Ammar, Gregory S. see Martin, Clyde Franklin, (92d:93008) 

Babianiski, Wojciech (with Bittner, Ryszard; Latecki, Longin) The criteria for the existence 
and uniqueness for solutions of abstract differential equations. 92m:44015 

Bittanti, Sergio (with Colaneri, Patrizio) A monotonicity result for the periodic Riccati 
equation. 92d:93059 

— (with Colaneri, Patrizio; De Nicolao, Giuseppe) The periodic Riccati equation. (see 
92d:93008) 

Bittner, Ryszard see Babiatiski, Wojciech; et al., 92m:44015 

Bloch, Anthony M. Steepest descent, linear programming, and Hamiltonian flows. 
924:58073 

Bouquet, Serge (with Feix, Marc R.; Leach, P.G. L.) Properties of second-order ordinary 
differential equations invariant under time translation and self-similar transformation. 
92¢:58130 

Colaneri, Patrizio see Bittanti, Sergio, 92d:93059 and (92d:93008) 

De Nicolao, Giuseppe see Bittanti, Sergio; et al., (92d:93008) 

Donato, Jerry Path dependent analysis. 92e:58005 

DoSla, Zuzana Higher monotonicity properties of special functions: application on Bessel 
case |u| < $. 92b:34044 

Duzhin, S. V. (with Lychagin, V. V.) Symmetries of distributions and quadrature of 
ordinary differential equations. 92g:35011 

Fagnani, Fabio (with Willems, Jan C.) Representations of time-reversible systems. 
92j:93011 

Feix, Marc R. see Bouquet, Serge; et al., 92c:58130 

Galkin, V.M. (with Stepan’yants, Yu. A.) On the existence of stationary solitary waves in a 
rotating fluid. (Russian) 92j:76096 

Gonzalez-Gascén, Francisco (with Gonzalez-Lopez, Artemio) Dynamical symmetries and 
integration of differential equations. 92¢:34012 

Gonzalez-Lépez, Artemio see Gonzalez-Gascén, Francisco, 92e:34012 

Guo, Fu Kui A method for solving a class of polynomial differential equations. (Chinese. 
English summary) 924:34018 

Hamano, F. On the existence of a solution of Riccati equation and the mismatch threshold 
in practical stabilization of uncertain dynamical systems. (see 92h:93007) 

Karelina, I.G. see Pokornyi, Yu. V., 92e:34043 

Kim, Sung S. (with Kwon, Kil H.) Generalized weights for orthogonal polynomials. 
92g:33017 

Klionskii, A. B. The method of mathematical induction and the theory of differential 
equations. (Russian) (see 92b:00031) 

Kuznetsova, V. A. Analytic conditions for the recognition of a type of sector of surging 
dynamical systems for a special case (n = 2, m = 2). (Russian) 92g:34013 

Kwon, Kil H. see Kim, Sung S., 92g:33017 





479 1992 


Latecki, Longin see Babiatiski, Wojciech; et al., 92m:44015 

Leach, P.G. L. see Bouquet, Serge; et al., 92c:58130 

Lychagin, V. V. see Duzhin, S. V., 92g:35011 

Martin, Clyde Franklin (with Ammar, Gregory S.) The geometry of the matrix Riccati 
equation and associated eigenvalue methods. (see 92d:93008) 

Micali, Artibano Algébres non associatives et équations différentielles. [Nonassociative 
algebras and differential equations] 92f:17041 

Musette, M. Painlevé-Darboux transformation in nonlinear PDEs. (see 92a:00040) 

Ou, Jin Ping? (with Wang, Guang Yuan; Wang, Pei Zhuang) Fuzzy processes and a method 
for solving fuzzy differential equations. (Chinese. English summary) 

Pokornyi, Yu. V. (with Karelina, I.G.) Nonlinear comparison theorems on graphs. 
(Russian. Ukrainian summary) 92e:34043 

Rach, R.C. see Adomian, George A. 

Ran, An?ré C.M. (with Rodman, Leiba) Stable solutions of real algebraic matrix Riccati 
equations. 92k:93061 

Richardson, Daniel Finding roots of equations involving functions defined by first order 
algebraic differential equations. 92f:14064 

Rodman, Leiba see Ran, André C. M., 92k:93061 

Rodriguez Ricard, Mariano Analytic solutions to the Orr-Sommerfeld equation. (Spanish. 
English summary) 92h:76041 

Rudakov, I. A. A convolution equation in Gevrey spaces. (Russian) 92k:47053 

Rybakowski, Krzysztof P. Formulas for higher-order Fréchet derivatives of composite maps, 
implicitly defined maps and solutions of differential equations. 92j:58010 

Sacks, Elisha P. Automatic analysis of one-parameter planar ordinary differential equations 
by intelligent numeric simulation. 92c:68185 

Shayman, Mark A. A geometric view of the matrix Riccati equation. (see 92d:93008) 

Singer, Michael F. Liouvillian first integrals of differential equations. 92m:12014 

Stepan’yants, Yu. A. see Galkin, V. M., 92j:76096 

Sun, Yong Sheng Optimal recovery of differential operators on a class of smooth functions. 
92h:41070 

Tumashev, Yu. S. Definition of the convolution of inverse matrices defined in the class of 
functions of two variables. (Russian) 92h:15018 

Voskresenskii, E. V. Classifications of differential equations. (Russian) 92m:34017 

Wang, Guang Yuan see Ou, Jin Ping’; et al. 

Wang, Pei Zhuang see Ou, Jin Ping’; et al. 

Willems, Jan C. see Fagnani, Fabio, 92j:93011 


34Bxx Boundary value problems {For ordinary 
differential operators, see 34Lxx.} 


34B05 Linear equations 


Abdalla, H. A. see Mohamed, M. L,; et al., 92£:34013 

Abramov, A. A. On the determination of the eigenvalues and eigenfunctions of a selfadjoint 
differential problem. (Russian) 92i:34019 

van den Akker, J. M. (with Koolen, J. H.; Vaessens, R. J. M.) Addendum: “Perfect codes 
with distinct protective radii” [Discrete Math. 81 (1990), no. 1, 103-109; MR 91c:94027]. 

Atanasova, E. see Georgievska, Slobodanka S., 92m:34049 

Churikov, V. A. Solution of a boundary value problem for a system of two linear ordinary 
differential equations. (Russian) 92¢:34019 

Darwish, A. A. On a singular boundary value problem with spectral parameter in the 
boundary condition. 924:34037 

Elsawi, A. see Mohamed, M. L.; et al., 92f:34013 

Gaudenzi, Marcellino On the comparison of the mth eigenvalue for the equation Ly + 
Aq(x)y =0. 92i:34020 

Georgievska, Slobodanka S. (with Atanasova, E.) Transcendental equations obtained by a 
sixth-order Sturm-Liouville problem. (Macedonian. English summary) 92m:34049 

— Reduction of a fourth-order boundary value problem to a second-order boundary value 
problem. (Macedonian) 92j:34032 

Greengard, Leslie (with Rokhlin, Vladimir V.) On the numerical solution of two-point 
boundary value problems. 92a:34018 

Hankerson, Darrel (with Henderson, Johnny) Positive solutions and extremal points for 
differential equations. 92a:34019 

— (with Peterson, Allan C.) Positive solutions of a boundary value problem. 92h:34044 

Henderson, Johnny see Hankerson, Darrel, 92a:34019 

Hoda, Syed Nasrul On a selfadjoint boundary value problem associated with a fifth order 
linear differential equation. 

Jiang, Fu Ru On the boundary value probl for ordinary differential equations with 
turning points. (Chinese. English summary) 92e:34023 

Jédar, Lucas (with Navarro, Enrique) Explicit solutions for boundary value problems 
related to the operator equations X2) — AX = 0. (Czech summary) 92k:34017 

— (with Navarro, Enrique) Solving boundary value problems for the matrix equation 
X)(t) — AX(t) = F(t). 92k:34018 

— see also Navarro, Enrique, 92h:34046; Rubio Navarro, Gregorio, (92b:00044); Legua 
Fernandez, Matilde, (92b:00044) and (92b:00044) 

Koolen, J. H. see van den Akker, J. M.; et al. 

Kuznetsova, N. A. Estimates in L2 for the solution of the Dirichlet problem for a second- 
order degenerate differential equation. (Russian) 92h:34045 

Lakshmi, P. V.S. see Murty, K. N., 92b:34031 

Laptinskii, V.N. An approach to searching for periodic solutions of differential equations. 
(Russian. English summary) 92c:34020 

Legua Fernandez, Matilde (with Jédar, Lucas) Matrix boundary value problems: approxi- 
mate solutions and error bounds. (Spanish. English summary) (see 92b:00044) 

— (with Jédar, Lucas) Explicit solutions of boundary value problems for Euler matrix 
equations. (Spanish. English summary) (see 92b:00044) 

Levitina, T. V. Conditions for the applicability of an algorithm for solving two-parameter 
selfadjoint boundary value problems. (Russian) 92k:34019 








34B Boundary value problems 


34B05 





Mohamed, M. I. (with Abdalla, H. A.; Elsawi, A.) Two-point boundary value problem with 
eigenvalue parameter contained in the boundary conditions. 92f:34013 

Murty, K.N. (with Lakshmi, P. V.S.) On two-point boundary value problems. 92b:34031 

Navarro, Enrique (with Jédar, Lucas) Solving two-point boundary value problems for the 
nonmonic regular matrix differential equation AX?)(t) — BX(t) = F(t). 92h:34046 

— see also Jédar, Lucas, 92k:34017 and 92k:34018 

Orudzhev, E.G. Boundary value probl for a fourth-order differential equation that 
depends polynomially on the spectral parameter. (Russian. English and Azerbaijani 
summaries) 92f:34014 

Peterson, Allan C. see Hankerson, Darrel, 92h:34044 

Rokhlin, Viadimir V. see Greengard, Leslie, 92a:34018 

Rubio Navarro, Gregorio (with Jédar, Lucas) Solution of boundary value probl by 
Green matrix functions. (Spanish. English summary) (see 92b:00044) 

Singh, Ramji P. see Singh, Shambhoo Nath, 92e:34024 and 92f:34015 

Singh, Shambhoo Nath (with Singh, Ramji P.) On an eigen value problem in the finite 
interval. 92¢:34024 

— (with Singh, Ramji P.) Eigenvalue problem associated with second order matrix 
differential operator. 92f:34015 

Vaessens, R. J. M. see van den Akker, J. M.; et al. 

Yataev, N. M. On the theory of an operator of the form (d/dt)p(t)d?/dt? + a. (Russian) 
92g:34021 











Items with secondary classifications in 34B05 

Abramovich, Shoshana The gap between the first two eigenvalues of a one-dimensional 
Schrédinger operator with symmetric potential. 92f:34077 

Adiié, Nevenka On orthogonal series solution for b y layer p 

Agarwal, Ravi P. * Difference equations and inequalities. 92m:39002 

Aliev, 1. V. see Maksudov, F. G., 92m:34135 

Arkhipov, V. P. Asymptotic representations of solutions of second-order degenerate 
differential equations. (Russian) 92¢:34071 

Bai, Yin A perturbed collocation method for boundary-value problems in differential- 
algebraic equations. 92i:65123 

Baranetskii, Ya. E. A boundary value problem for operator-differential equations of even 
order. (Russian) 92d:34152 

— (with Kalenyuk, P. 1.) Multiparametric nonlocal spectral problems for operator- 
differential equations. (Russian) 92b:47026 

Benammar, M. Classification of regularly solvable first-order differential operators. 
92k:34109 

Bramley, J.S. (with Dieci, Luca; Russell, Robert D.) Numerical solution of eigenvalue 
problems for linear boundary value ODEs. 924:65138 

Chéng, Sui Shéng Lyapunov inequality for system disconjugacy of even order differential 
equations. 92j:34065 

Craciunas, P.T. see Mangeron, Dumitru Ion; et al. 

Dieci, Luca see Bramley, J.S.; et al., 92d:65138 

Dimovski, Ivan H. (with Petrova, Radka I.) Finite integral transforms for nonlocal 
boundary value problems. (see 92d:30002) 

Dudek-Chwalek, Elzbieta The Bessel operators and its product with application to the 
boundary problems. (Polish summary) (see 92c:00013) 

Fiedler, Frank About certain fourth-order ordinary differential operators—oscillation and 
discreteness of their spectrum. 92¢:34114 

Frank, L.S. On a singularly perturbed eigenvalue problem in the theory of elastic rods. 
92j:34110 

Georgiou, M. (with Olmstead, W. E.) Some Fredholm equations with boundary layer 
resonance. 92f:34051 

Gorbachuk, M. L. see Gorbachuk, V. I., 92m:34133 

Gorbachuk, V. I. (with Gorbachuk, M. L.) * Boundary value problems for operator 
differential equations. 92m:34133 

Greengard, Leslie Spectral integration and two-point boundary value problems. 92h:65033 

Hanke, Michael On the asymptotic representation of a regularization approach to nonlinear 
semiexplicit higher-index differential-algebraic equations. 92h:34007 

Huang, Yun Qing Term by term asymptotic expansions of standard and nonstandard finite 
element solutions to two-point boundary value problems. (Chinese. English summary) 
92i:65131 

Jédar, Lucas Boundary value problems and Green’s operator functions. (Serbo-Croatian 
summary) 92¢:34065 

— Stable solutions of discrete eigenvalue problems. 92f:65091 

Kalenyuk, P.1I. see Baranetskii, Ya. E., 92b:47026 

Khamraev, Yu. Yu. see Makarov, I. L. 

Kibenko, A. V. Application of asymptotic equilibrium to the solution of a two-point 
problem with a parameter on the half-axis. (Russian) 92h:34021 

Kopaneva, V. I. An overdetermined problem for a differential equation in a Hilbert space. 
(Russian) 92e:34075 

Krall, Allan M. The decomposition of M(A) surfaces using Niessen’s limit circles. 
92g:34029 

Kurbanbaév, O. O. see Samoilenko, A. M.; et al., 92a:34015 

Langer, Heinz (with Moller, Manfred) Linearization of boundary eigenvalue problems. 
92g:47069 

Lenyuk, M. P. see Mangeron, Dumitru Ion; et al. 

Luzhina, L. M. Regularity of spectral problems with supplementary conditions at interior 
points. (Russian) 92j:34143 

Magerramov, A. M. see Maksudov, F. G.; et al., 92a:47055 

Makarov, I. L. (with Khamraev, Yu. Yu.) Difference schemes of high order of accuracy in 
the case of nonselfadjoint boundary value problems for systems of second-order linear 
ordinary differential equations with degeneration. (Russian) 

Maksudov, F.G. (with Magerramov, A. M.; Mamedov, M. Z.) Spectral analysis of pencils 
of differential operators of special type. (Russian) 92a:47055 

— (with Aliev, I. V.) Second-order operator-differential equations with nonregular boundary 
conditions. (Russian) 92m:34135 

Mamedov, M. Z. see Maksudov, F. G.; et al., 92a:47055 

Mangeron, Dumitru Ion (with Lenyuk, M. P.; Craciunas, P. T.) Differential systems that 





92£:34049 





34B05 


generate classes of functions and their applications. III. Fourier-Hankel hybrid integral 
transformations of the second kind on a right-bounded axis and their applications to 
problems in mathematical physics. (Russian. French summary) 

Mel/nikova, I. V. Conditions for the solvability of abstract boundary value problems. 
(Russian) 92h:34116 

Mironov, B. G. On the theory of extensions of J-symmetric operators. (Russian) 92h:47046 

Miller, Manfred see Langer, Heinz, 92g:47069 

Obert, David G. The angle between two cones. 92¢:46045 

Olmstead, W. E. see Georgiou, M., 92f:34051 

Petrova, Radka I. see Dimovski, Ivan H., (92d:30002) 

Petukhova, N. Yu. A numerical method for solving a singularly perturbed boundary value 
problem. (Russian. English summary) 92m:34039 

Pituk, Michal Adjoint operators and boundary value problems for linear differential 
equations. 92m:34186 

Rojo, Oscar (with Soto, Ricardo) Conditions for an additive inverse eigenvalue problem. 
(Spanish) 92j:15006 

Ronto, N. I. see Samoilenko, A. M.; et al., 92a:34015 

Roos, Hans-Gorg A uniformly convergent discretization method for a singularly perturbed 
boundary value problem of the fourth order. (Serbo-Croatian summary) 92¢:65108 

Rubio Navarro, Gregorio Boundary value problems for systems of differential equations 
with constant coefficients. (Spanish. English summary) (see 92m:00049) 

Russell, Robert D. see Bramley, J. S.; et al., 92d:65138 

Samoilenko, A.M. (with Ronto, N. I.; Kurbanbaév, O. O.) Determination of the solutions 
of boundary value problems for differential equations with impulse action. (Russian) 
92a:34015 

Soto, Ricardo see Rojo, Oscar, 92):15006 

Yunusov, M. Yu. A two-sided power boundary layer in nonlocal problems. (Russian) 
92¢:34077 


34B10 Multipoint boundary value problems 


Aftabizadeh, A. R. (with Deimling, Klaus) A three-point boundary value problem. 
92b:34032 

Andres, Jan Four-point and asymptotic boundary value problems via a possible modifica- 
tion of Poincaré’s mapping. 92m:34050 

Barskii, I. L. On the behavior of the spectrum of some linear multipoint boundary value 
problems for ordinary differential equations. (Russian) 92i:34021 

Bespalova, S. A. (with Klokov, Yu. A.) A generalization of the Falkner-Skan equation. II. 
(Russian. English and Latvian summaries) 92m:34051 

Chyan, Chuan J. (with Henderson, Johnny) Application of Liapunov theory to multipoint 
boundary value problems. 92¢:34025 

Deimling, Klaus see Aftabizadeh, A. R., 92b:34032 

Diaz, Jerry Comparison theorems for eigenvalue problems for right disfocal differential 
equations. 924:34038 

Eloe, Paul W. (with Hankerson, Darrel; Henderson, Johnny) Positive solutions and 
conjugate points for multipoint boundary value problems. 92j:34033 

Gupta, Chaitan P. (with Lakshmikantham, V.) Existence and uniqueness theorems for a 
third-order three-point boundary value problem. 92d:34039 

Hankerson, Darrel see Eloe, Paul W.; et al., 92j:34033 

He, Ye Qi Boundary value problems for piecewise-continuous ordinary differential 
equations. (Chinese. English summary) 92h:34047 

Henderson, Johnny see Chyan, Chuan J., 92e:34025 and Eloe, Paul W.; et al., 92j:34033 

Klokov, Yu. A. see Bespalova, S. A., 92m:34051 

Lakshmikantham, V. see Gupta, Chaitan P., 92d:34039 

Marty, K. N. (with Prasad, K. R.) Solution of a nonhomogeneous Liapunov’s equation. 
92¢:34021 

Prasad, K.R. see Murty, K. N., 92c:34021 

Rusnak, Jan Constructions of lower and upper solutions for a nonlinear boundary value 
problem of the third order and their applications. (Russian summary) 92c:34022 


Items with secondary classifications in 34B10 


Andres, Jan On some modification of the Levinson operator and its application to a three- 
point boundary value problem. (Russian and Czech summaries) 92m:34052 

Brantley, Rick (with Henderson, Johnny) Some analogues of a theorem of Peano for 
boundary value problems. 92c:34025 

Day, W. A. Inequalities associated with standing wave solutions of a hyperbolic equation. 
92e:35101 

Dijksma, A. (with de Spoo, H. S. V.; El Sabbagh, A. A.) Selfadjoint extensions of regular 
canonical systems with Stieltjes boundary conditions. 92h:47065 

Ehme, Jeffrey (with Hankerson, Darrel) Existence of solutions for right focal boundary 
value problems. 92j:34036 

El Sabbagh, A. A. see Dijksma, A.; et al., 92h:47065 

Hankerson, Darrel see Ehme, Jeffrey, 92j:34036 

Henderson, Johnny see Brantley, Rick, 92c:34025 

Kenzhebaev, K. see Samoilenko, A. M.; et al., 92a:34016 

Laptinskii, V.N. see Samoilenko, A. M.; et al., 92a:34016 

Lin, Zong Chi Estimation of solutions to a class of fourth-order nonlinear differential 
equations with boundary perturbations. (Chinese) 92a:34058 

Lomov, I. S. Properties of root functions of the Sturm-Liouville operator that are discontin- 
uous on an everywhere dense set. (Russian) 92e:34116 

Pekar, Jan An algorithm for solving the three-point boundary value problem for O.D.E. 
(Russian and Slovak summaries) 924:65134 

Piao, Wu Xing (with Shi, Xi Fu) Existence and uniqueness of two-point and three-point 
boundary value problems for third order nonlinear differential equations. 92h:34057 

Rachinkov4, Irena On a certain three-point boundary value problem. (Russian summary) 
92¢e:34033a 

— On some three-point problems for third-order differential equations. 92m:34063 

Samoilenko, A. M. (with Kenzhebaev, K.; Laptinskii, V. N.) Iterative methods for 
constructing solutions of multipoint boundary value problems. (Russian) 92a:34016 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 480 


Shi, Xi Fu Existence of solutions to three-point boundary value problems for nonlinear 
third-order equations. (Chinese. English summary) 92d:34052 

— see also Piao, Wu Xing; et al., 92h:34057 

de Snoo, H.S. V. see Dijksma, A.; et al., 92h:47065 

Umamaheswaram, S. (with Venkata Rama, M.) Existence theorems for focal boundary 
value problems. 92g:34025 

Venkata Rama, M. see Umamaheswaram, S., 92g:34025 

Wang, Jin Zhi Existence and uniqueness of solutions to b y value p for 
nonlinear ordinary differential equations of third order. (Chinese. English summary) 
92m:34064 


hi 





34B15 Nonlinear boundary value problems 


Adje, Assohoun Monotone iterative techniques for solutions of nonlinear second order 
ordinary differential equations. 92j:34034 

— Sur-et sous-solutions pour une certaine classe de problémes aux limites multivoques avec 
des conditions aux limites non lineaires. (English summary) [Super- and subsolutions 
for a certain class of multivalued boundary value problems with nonlinear boundary 
conditions] 92¢:34023 

Allakhverdiev, T. I. Some nonlinear boundary value problems for fourth-order equations. 
(Russian) (see 92g:00019) 

Andres, Jan On some modification of the Levinson operator and its application to a three- 
point boundary value problem. (Russian and Czech summaries) 92m:34052 

Anichini, Giuseppe (with Conti, Giuseppe; Zecca, Pietro) Using solution sets for solving 
boundary value problems for ordinary differential equations. 92k:34020 

Baxley, John V. Radially symmetric solutions of some singular elliptic equations. 
92¢:34024 

— Some singular nonlinear boundary value problems. 92f:34017 

Biadilov, N. B. see Kasymov, K. A. 

Bobisud, L. E. (with Lee, Y. S.) Existence for a class of nonlinear singular boundary value 
problems. 92k:34021 

— (with Lee, Y.S.) Existence of monotone or positive solutions of singular second-order 
sublinear differential equations. 92k:34022 

Boichuk, A. A. * KoxncTpyKTHBHBIe MeTOsbI aHasH3a KpaeBbIx 3aa4. (Russian) [Construc- 
tive methods in the analysis of boundary value problems] 92a:34020 

Brantley, Rick (with Henderson, Johnny) Some analogues of a theorem of Peano for 
boundary value problems. 92¢:34025 

Brykalov, S. A. Existence and nonuniqueness of solutions of some nonlinear boundary value 
problems. (Russian) 92b:34033 

Cao, Dao Min (with Deng, Yin Bin) On the existence and nodal character of solutions of 
singular nonlinear boundary value problems. 92h:34048 

Capietto, Anna (with Mawhin, Jean L.; Zanolin, Fabio) Continuation theorems for periodic 
perturbations of autonomous systems. 92¢:34026 

Cepitis, J. On the existence of a bounded solution for a system of second-order ordinary 
differential cquations with nonsummable singularities. (Russian. English and Latvian 
summaries) 92j:34035 

Chen, Chao-Nien Multiple solutions for a class of nonlinear Sturm-Liouville problems when 
nonlinearities are not odd. 92¢:34026 

Chen, Xiu Singular perturbation of two-point boundary value problems for a class of 
nonlinear systems of higher order. (Chinese. English summary) 92m:34053 

Choi, Yung Sze A singular boundary value problem arising from near-ignition analysis of 
flame structure. 92¢:34027 

Conti, Giuseppe see Anichini, Giuseppe; et al., 92k:34020 

Costa, David G. Morse index and exact number of solutions for ODEs with jumping 
nonlinearities. 92m:34054 

(Danilenko, V. A.) see Boichuk, A. A., 92a:34020 

Del Pino, Manuel A. (with Manasevich, Raul F.; Murda, Alejandro E.) Existence and 
multiplicity of solutions with prescribed period for a second order quasilinear ODE. 
92m:34055 

Deng, Yin Bin (with Wang, Guang Fa) Uniqueness of k-node solutions to a class of 
nonlinear boundary value problems. (Chinese. English summary) 92i:34022 

— see also Cao, Dao Min; et al., 92h:34048 

Do, T.S. (with Lee, Hung Hwan) Existence of solutions for singular nonlinear two-point 
boundary value problems. 92i:34023 

Dudek-Chwatek, Elzbieta The nonlinear boundary problem for certain ordinary differential 
equation of the fourth order. (Polish summary) (see 92c:00013) 

Ehme, Jeffrey (with Hankerson, Darrel) Existence of solutions for right focal boundary 
value problems. 92j:34036 

Erbe, Lynn H. (with Knobloch, H.-W.) A note on boundary value problems for second 
order differential equations. 92¢:34027 

— (with Krawcewicz, W.; Kaczynski, Tomasz) Solvability of two-point boundary value 
problems for systems of nonlinear differential equations of the form y” = g(t, y, y’, y”). 
92e:34028 

Fabry, C. (with Fonda, A.) Periodic solutions of nonlinear differential equations with 
double resonance. 92¢:34029 

Fetkan, Michal Positive solutions of a certain type of two-point boundary value problems. 
92e:34030 

Fiebig-Wittmaack, Melitta On the number of solutions of a Duffing equation. 92h:34049 

de Figueiredo, Djairo G. (with Ruf, Bernhard) On a superlinear Sturm-Liouville equation 
and a related bouncing problem. 92j:34037 

Fink, A. M. (with Gatica, Juan A.; Hernandez, Gaston E.; Waltman, Paul) Approximation 
of solutions of singular second order boundary value problems. 92f:34016 

Fonda, A. see Fabry, C., 92e:34029 

Fu, Wen Jiang On the existence, uniqueness and the dependency of the solution of a 
two-point boundary value problem for a nonlinear second-order ordinary differential 
equation. 92j:34038 

Fulier, Jozef On a nonlinear two-point boundary vaiue problem. (Russian and Slovak 
summaries) 92i:34024 

Garcia-Huidobro, Marta Jumping nonlinearities for a nonlinear equation with an nth order 
disconjugate operator. 92m:34056 





481 1992 


Gasanov, A. Z. Existence and oscillatory properties of the eigenfunctions of some nonlinear 
boundary value problems. (Russian) (see 92g:00019) 

Gatica, Juan A. (with Oliker, Viadimir; Waltman, Paul) Iterative procedures for nonlinear 
second order boundary value problems. 92j:34039 

— see also Fink, A. M.; et al., 92f:34016 

Ge, Wei Gao On the existence of harmonic solutions of Liénard systems. 924:34040 

Granas, Andrzej (with Guenther, R. B.; Lee, John Walter) Some general existence 
principles in the Carathéodory theory of nonlinear differential systems. 92d:34041 

Guennoun, Zine E. A. Existence de solutions au sens de Carathéodory pour le probléme 
de Neumann y” = f(t, y, y’). (English summary) [Existence of solutions in the sense of 
Carathéodory for the Neumann problem y” = f(t, y, y’)] 92h:34050 

Guenther, R. B. see Granas, Andrzej; et al., 92d:34041 

Gupta, Chaitan P. Asymptotic conditions for the solvability of a fourth order boundary 
value problem with periodic boundary conditions. 92e:34031 

— Existence and uniqueness theorems for a fourth order boundary value problem of Sturm- 
Liouville type. 92i:34025 

— Solvability of a fourth-order boundary value problem with periodic boundary conditions. 
II. 92b:34034 

Habets, P. (with Ramos, Miguel; Sanchez, Luis) Jumping nonlinearity for 2nd order ODE 
with positive forcing. 92m:34057 

HaluSka, Vladimir On the existence of a solution of a vector periodic boundary value 
problem. 924:34042 

Hankerson, Darrel see Ehme, Jeffrey, 92j:34036 

Hastings, S. P. (with Lu, Chun Qing; MacGillivray, A.D.) A boundary value problem with 
multiple solutions from the theory of laminar flow. 92j:34040 

Henderson, Johnny (with Yin, Kuo-Chuan) Singular boundary value problems. 92j:34041 

— see also Brantley, Rick, 92c:34025 

Hernandez, Gastén E. see Fink, A. M.; et al., 92f:34016 

Kaczynski, Tomasz Implicit differential equations which are not solvable for the highest 
derivative. 92i:34026 

— see also Erbe, Lynn H.; et al., 92e:34028 

Kajikiya, Ryuji Infinitely many radially symmetric solutions of certain semilinear elliptic 
equations. 92m:34058 

Kaper, Hans G. (with Knaap, Mariette; Kwong, Man Kain) Existence theorems for second 
order boundary value problems. 92m:34059 

Kasymov, K. A. (with Biadilov, N. B.) The third boundary value problem for a second-order 
quasilinear differential equation with an internal jump. (Kazakh) 

Kelevedzhiev, Pet'o S. Globally a priori estimates for the gradient of the solution of second- 
order nonlinear ordinary differential equations. (Bulgarian. English summary) 924:34043 

Knaap, Mariette see Kaper, Hans G.; et al., 92m:34059 

Knobloch, H.-W. see Erbe, Lynn H., 92¢:34027 

Koleva, M. (with Kutev, Nikolai D.) Monotony methods and minimal and maximal 
solutions for nonlinear ordinary differential equations. 92d:34044 

Krawcewicz, W. see Erbe, Lynn H.; et al., 92e:34028 

Kryszewski, W. An application of A-mapping theory to boundary value problems for 
ordinary differential equations. 92h:34051 

Kutev, Nikolai D. see Koleva, M., 924:34044 

Kwong, Man Kam see Kaper, Hans G.,; et al., 92m:34059 

Lakshmikantham, V. (with Nieto, Juan J.; Sun, Yong) An existence result about periodic 
boundary value problems of second order differential equations. 92i:34027 

Lazer, Alan C. (with McKenna, P. J.) Nonresonance conditions for the existence, 
uniqueness, and stability of periodic solutions of differential equations with asymmetric 
nonlinearities. 92b:34035 

Lee, Hung Hwan see Do, T. S., 92i:34023 

Lee, John Walter see Granas, Andrzej; et al., 92d:34041 

Lee, Y.S. see Bobisud, L. E., 92k:34021 and 92k:34022 

Le Lyong Tai see Samoilenko, A. M., 92d:34050 

Lepin, A. Ya. Solvability of boundary value problems for a second-order equation with the 
Schréder condition. (Russian. English and Latvian summaries) 92h:34052 

— Existence of solutions of boundary value problems for a second-order equation. (Russian) 
92a:34021 

Lepin, L. A. On the absence of monotone solutions to a nonlinear boundary value problem. 
(Russian. English and Latvian summaries) 92h:34053 

Lepina, E. Boundary value problems without maximal solution. II. (Russian. English and 
Latvian summaries) 92h:34054 

Li, Yong® (with Zhou, Qin De) The Nagumo theorem for singular boundary value 
problems. (Chinese. English summary) 92d:34045 

Ligeza, Jan Applications of the smooth integral in the theory of weak solutions of ordinary 
differential equations. (Russian and Czech summaries) 92a:34022 

Lin, Su Rong see Lin, Zong Chi; et al., 92e:34032 

Lin, Zong Chi (with Lin, Su Rong) Singular perturbation of boundary value problem of 
systems for quasilinear ordinary differential equations. (Chinese. English summary) 
92e:34032 

Linttner, Malgorzata The boundary value p for quasi-linear ordinary differential 
equation of order 27 and the linear boundary data. (Polish summary) (see 92c:00013) 

Liu, Jia Quan A note on resonance problem. (Italian summary) 92g:34022 

La, Chun Qing see Hastings, S. P.; et al., 92j:34040 

MacGillivray, A. D. see Hastings, S. P.; et al., 92j:34040 

Makhlouf, Amar Sur les solutions périodiques d’une famille d’équations de Hill. (English 
summary) [On the periodic solutions of a family of Hill’s equations] 92k:34023 

Manasevich, Raul F. see Del Pino, Manuel A.; et al., 92m:34055 

Martinez-Amores, Pedro (with Mawhin, Jean L.; Ortega, Rafael; Willem, M.) Generic 
results for the existence of nondegenerate periodic solutions of some differential systems 
with periodic nonlinearities. 92h:34055 

Mawhin, Jean L. (with Schmitt, Klaus) Nonlinear eigenvalue problems with the parameter 
near resonance. 92d:34046 

— see also Capietto, Anna; et al., 92e:34026 and Martinez-Amores, Pedro; et al., 92h:34055 

McKenna, P. J. see Lazer, Alan C., 92b:34035 

McLeod, J. B. (with Troy, William C.) The Skyrme model for nucleons under spherical 
symmetry. 92h:34056 





34B Boundary value problems 


Metzen, Gerhard Semilinear fourth order boundary value probl 

Muriia, Alejandro E. see Del Pino, Manuel A.; et al., 92m:34055 

Nagle, R. Kent (with Sinkala, Zachariah) Semilinear equations at resonance where the 
kernel has dimension two. 92j:34042 

Nakao, Mitsuhiro T. A numerical verification method for the existence of weak solutions for 
nonlinear boundary value problems. 92j:34043 

Ni, Ming Kang A critical case of general nonlinear boundary value problems. (Chinese. 
English summary) 92k:34024 

Nieto, Juan J. (with Sree Hari Rao, V.) Periodic solutions for scalar Liénard equations. 
92):34044 

— see also Lakshmikantham, V.; et al., 92i:34027 

Oliker, Viadimir see Gatica, Juan A.; et al., 92j:34039 

O’Regan, Donal Some new results for second order boundary value problems. 92c:34028 

— Existence of solutions to third order boundary value problems. 92m:34060 

— Solvability of some singular and nonsingular nonlinear third order boundary value 
problems. 92g:34023 

— Singular third-order boundary value problems. 92i:34028 

— Second and higher order systems of boundary value problems. 92c:34029 

— Solvability of some fourth (and higher) order singular boundary value problems. 
92i:34029 

— Solvability of some second and higher order boundary value problems. 92¢:34030 

— Boundary value probl for second and higher order differential equations. 92b:34036 

Ortega, Rafael see Martinez-Amores, Pedro; et al., 92h:34055 

Petracovici, Boris Nonlinear two-point boundary value problems. 92d:34048 

Piao, Wu Xing (with Shi, Xi Fu) Existence and uniqueness of two-point and three-point 
boundary value problems for third order nonlinear differential equations. 92h:34057 

Pieniazek, Alicja The nonlinear problem for the system of the two ordinary differential 
equations of second order with nonlinear boundary conditions. (Polish summary) (see 
92c:00013) 

— The nonlinear problem for the selfadjoint ordinary differential equation of second order. 
(Polish summary) (see 92c:00013) 

Plum, Michael Computer-assisted existence proofs for two-point boundary value problems. 
(German summary) 92d:34049 

Rachinkova, Irena On a certain three-point boundary value problem. (Russian summary) 
92e:34033a 

— The first kind periodic solutions of differential equations of the second order. (Russian 
summary) 92e:34033b 

— Periodic boundary value problems for second order differential equations. (Russian and 
Czech summaries) 92m:34061 

— Periodic boundary value probl for third-order differential equations. 92m:34062 

— On some three-point problems for third-order differential equations. 92m:34063 

Ramos, Miguel see Habets, P.; et al., 92m:34057 

Roos, Hans-Gérg An analytically oriented discretization technique for boundary value 
problems. 92h:34058 

Rother, Wolfgang' Existence and bifurcation results for a class of nonlinear boundary value 
problems in (0,00). 92k:34025 

Ruf, Bernhard see de Figueiredo, Djairo G., 92j:34037 

Rusnak, Jan On certain nonlinear boundary value problems of the third order. (German, 
Russian and Slovak summaries) 92¢:34034 

Sachdev, S. K. Positive solutions of a nonlinear boundary value problem on half-line. 
92h:34059 

Sadyrbaev, F. Zh. A two-point boundary value problem for a fourth-order equation. 
(Russian. English and Latvian summaries) 92i:34030 

Samoilenko, A. M. (with Le Lyong Tai) A method for studying boundary value problems 
with nonlinear boundary conditions. (Russian. Ukrainian summary) 924:34050 

Sanchez, Luis Boundary value probl for some fourth order ordinary differential 
equations. 92g:34024 

— see also Habets, P.; et al., 92m:34057 

Schmitt, Klaus see Mawhin, Jean L., 92d:34046 

Schréder, Johann Numerical algorithms for existence proofs and error estimates for two- 
point boundary value problems. 924:34051 

Shi, Xi Fu Existence of solutions to three-point boundary value problems for nonlinear 
third-order equations. (Chinese. English summary) 92d:34052 

— see also Piao, Wu Xing; et al., 92h:34057 

Shibata, Tetsutaro The relationship between the variational eigenvalues and its critical 
values for semilinear Sturm-Liouville problems. (Italian summary) 92i:34031 

Sinkala, Zachariah Existence of T-periodic solutions to second order nonlinear systems at 
resonance. 92k:34026 

— see also Nagle, R. Kent, 92j:34042 

Sree Hari Rao, V. see Nieto, Juan J., 92j:34044 

Sun, Yong Unique solution to periodic boundary value problems. 92h:34060 

— see also Lakshmikantham, V.; et al., 92i:34027 

Tineo, Antonio Existence of solutions for the Sturm-Liouville problem associated with the 
equation X” = F(T, X, X'). (Spanish) 92a:34023 

Troy, William C. see McLeod, J. B., 92h:34056 

Umamaheswaram, S. (with Venkata Rama, M.) Existence theorems for focal boundary 
value problems. 92g:34025 

— (with Venkata Rama, M.) Focal subfunctions and second order differential inequalities. 
92j:34045 

Uvah, J. A. (with Vatsala, A.S.) Monotone iterative technique for nonlinear boundary 
value problem of first-order differential systems with rectangular coefficients. 92j:34046 

Vatsala, A.S. see Uvah, J. A., 92j:34046 

Venkata Rama, M. see Umamaheswaram, S., 92g:34025 and 92j:34045 

Vu Quoc Thanh Generalization of a theorem of M. M. Gekhtman for a nonlinear Sturm- 
Liouville equation. (Russian) 92¢:34035 

Waltman, Paul see Fink, A. M.; et al., 92f:34016 and Gatica, Juan A.; et al., 92j:34039 

Wang, Guang Fa see Deng, Yin Bin; et al., 92i:34022 

Wang, Hai Yan Solvability of some boundary value problems for the equation (a(t, y)y’)’ = 
S(t,y,y’). (Chinese) 92¢:34031 





. 92d:34047 























34B15 


— Solvability of some boundary value problems for the singular equation 
(p(t)r(t,y)y’)'/a(t) = f(t, y, pry’). (Chinese) 92k:34027 

Wang, Jin Zhi Existence and uniqueness of solutions to boundary value problems for 
nonlinear ordinary differential equations of third order. (Chinese. English summary) 
92m:34064 

Welsh, Stewart C. Sufficient conditions for periodic solutions to a class of second-order 
differential equations. 92g:34026 

Willem, M. see Martinez-Amores, Pedro; et al., 92h:34055 

Wong, Fu Hsiang (with Yeh, Cheh Chih) Uniqueness of positive solutions of nonlinear 
boundary value problems. 92a:34024 

Wypich, Malgorzata On the existence of a solution of nonlinear periodic boundary value 
problems. 92k:34028 

Yeh, Cheh Chih see Wong, Fu Hsiang, 92a:34024 

Yin, Kuo-Chuan see Henderson, Johnny; et al., 92j:34041 

Zanolin, Fabio see Capietto, Anna; et al., 92e:34026 

Zecca, Pietro see Anichini, Giuseppe; et al., 92k:34020 

Zhang, Yong Existence of solutions to systems of second-order periodic boundary value 
problems in m dimensions. (Chinese. English summary) 92b:34037 

Zhou, Qin De see Li, Yong‘; et al., 924:34045 

Zhou, Zhe Yan A nonlinear eigenvalue problem with boundary perturbation. (Chinese. 
English summary) 92i:34032 


Items with secondary classifications in 34B15 

Ad"yutov, M. M. (with Zmitrenko, N. V.; Klokov, Yu. A.) On a generalization of the 
Emden equation. (Russian) 92h:34023 

Aftabizadeh, A. R. (with Pavel, Nicolae H.) Nonlinear boundary value problems for 
some ordinary and partial differential equations associated with monotone operators. 
92h:47091 

Aizicovici, Sergiu (with Pavel, Nicolae H.) Anti-periodic solutions to a class of nonlinear 
differential equations in Hilbert space. 92k:34078 

— Un probléme d’évolution antipériodique dans un espace de Hilbert. (English summary) 
[An antiperiodic evolution problem in a Hilbert space] 92k:34079 

Andersen, Kurt Munk see Sandqvist, Allan, 92i:34008 

Andres, Jan On a certain nonlinear differential equation of the third order involving the 
sinusoidal restoring term. 924:34089 

— Four-point and asymptotic boundary value problems via a possible modification of 
Poincaré’s mapping. 92m:34050 

Appell, Jiirgen (with Krasnosel’skii, A.M.) New theorems on asymptotic bifurcation 
points. 92m:47122 

Atdaev, S. * AnamHTH4ecKHe MeTO{bI JBYCTOPOHHHX NpHOnMxKeHHH 110 OObIKHOBCHHBIX 
nuddepenumasbubix ypapenenuit. (Russian) [Analytic methods of two-sided approxima- 
tions for ordinary differential equations] 92g:34017 

Basov, A.M. see Dzyadyk, V. K., 92a:65223 

Bernis, Francisco (with Peletier, L. A.; Williams, S.M.) Source type solutions of a fourth 
order nonlinear degenerate parabolic equation. 92k:35162 

Bertsch, Michiel (with Klaver, M. H. A.) On positive solutions of Au + Af(u) = 0 with f 
discontinuous. 92h:35075 

Bespalova, S. A. (with Klokov, Yu. A.) A generalization of the Falkner-Skan equation. II. 
(Russian. English and Latvian summaries) 92m:34051 

Biadilov, N. B. A second-order singularly perturbed quasilinear differential equation with an 
internal initial jump. (Russian. Kazakh summary) 92g:34070 

Bielawski, Dariusz (with Pruszko, Tadeusz) On the structure of the set of solutions of a 
functional equation with applications to boundary value problems. 92k:47120 

Borsch-Supan, Wolfgang (with Fiebig-Wittmaack, Melitta) Stability of stationary solutions 
of a one-dimensional parabolic equation with homogeneous Neumann boundary 
conditions. 92k:35151 

Brewster, M. E. Thin plates and compressive membrane solutions. I. Global breakdown. 
92i:73059 

Brown, K. J. (with Tertikas, Achilles) On the bifurcation of radially symmetric steady-state 
solutions arising in population genetics. 92e:92018 

Brykalov, S. A. Solvability of a nonlinear boundary value problem in a fixed set of 
functions. (Russian) 92m:34150 

Capietto, Anna (with Mawhin, Jean L.; Zanolin, Fabio) The coincidence degree of some 
functional-differential operators in spaces of periodic functions and related continuation 
theorems. 92h:34131 

Chen, Chiun Chuan (with Lin, Chang-Shou) Uniqueness of the ground state solutions of 
Au + f(u) =Oin R", n> 3. 92j:35048 

Chen, Xiu Singular perturbations of boundary value problems for nonlinear systems with 
turning points. (Chinese. English summary) 92h:34106 

Del Pino, Manuel A. (with Manasevich, Raul F.) Global bifurcation from the eigenvalues 
of the p-Laplacian. 92g:35028 

Dement'eva, A. M. (with Krasnosel/skii, A. M.; Yumagulov, M. G.) The operator of a 
periodic problem for a first-order equation. (Russian. Tajiki summary) 92b:34102 

— (with Krasnosel'skii, A. M.; Yumagulov, M. G.) On the approximate construction 
of periodic solutions of a first-order nonlinear equation. (Russian. Tajiki summary) 
92j:34083 

Doedel, Eusebius J. see Friedman, Mark J., 92e:34058 

Douraid, Daly Solutions périodiques dans un puits de potentiel. (English summary) 
[Periodic solutions in a potential well] 92d:58032 

Du, Jing De Singularly perturbed boundary value problems for a class of higher-order 
semilinear equations. (Chinese. English summary) 92b:34062 

— Singularly perturbed boundary value problem for linear equations with turning points. 
92d:34116 

Duyadyk, V.K. (with Basov, A. M.) Effective solution of boundary value probl for 
systems of ordinary differential equations. (Russian) 92a:65223 

Erbe, Lynn H. (with Krawcewicz, W.) Boundary value problems for differential inclusions. 
92¢:34015 

Fetkan, Michal A symmetry theorem for variational problems. 924:47082 

Feng, De Xing see Li, Shu Jie; et al., 92j:47125 

Ferretti, R. (with Larrouturou, B.) Error estimates for truncated domain approximations of 





ORDINARY DIFFERENTIAL EQUATIONS 


travelling wave solutions of a combustion model. 92j:80006 

Fiebig-Wittmaack, Melitta see Borsch-Supan, Wolfgang, 92k:35151 

Fitzpatrick, P. M. (with Pesjsachowicz, Jacobo) Nonorientability of the index bundle and 
several-parameter bifurcation. 92g:58019 

Fonda, A. (with Lazer, Alan C.) Subharmonic solutions of conservative systems with 
nonconvex potentials. 92h:34082 

Fournier, Gilles (with Willem, M.) The mountain circle theorem. 92k:58045 

Friedman, Mark J. (with Doedel, Eusebius J.) Numerical computation and continuation of 
invariant manifolds connecting fixed points. 92e:34058 

Frigon, Marlene Problémes aux limites pour des inclusions différentielles sans condition de 
croissance. (English summary) [Boundary value problems for differential inclusions with 
no growth condition] 92k:34016 

Furi, Massimo (with Pera, Maria Patrizia) A continuation principle for the forced spherical 
pendulum. (French summary) 92£:58146 

Gomes, Sénia M. (with Sprekels, Jiirgen) Krasnosel’skii’s theorem on operators compress- 
ing a cone: application to some singular boundary value problems. 92h:47081 

Gossez, Jean-Pierre (with Omari, Pierpaolo) Periodic solutions of a second order ordinary 
differential equation: a necessary and sufficient condition for nonresonance. 92m:34090 

Grabmiiller, Hans Wrinkle-free solutions in the theory of annular elastic membranes. 
92i:73062 

Grigolyuk, E. 1. (with Shalashilin, V. I.) * Problems of nonlinear deformation. 92i:73001 

Guo, Zong Ming Solvability of some singular nonlinear b y value probl and 
existence of positive radial solutions of some nonlinear elliptic problems. 92c:35008 

Gupta, Chaitan P. (with Lakshmikantham, V.) Existence and uniqueness theorems for a 
third-order three-point boundary value problem. 924:34039 

Han, Guo Qiang Correct solution of finite difference and spline approximation for a class of 
singular two-point boundary value problems. 92m:34037 

— Correction and extrapolation of difference and spline methods for singular boundary 
value problems. (Chinese. English summary) 92i:65125 

Hanebaly, E. Un théoréme du point fixe et solutions périodiques d’équations différentielles 
V -dissipatives. (English summary) [A fixed-point theorem and periodic solutions of V- 
dissipative differential equations] 92j:47119 

Harris, W. A., Jr. (with Shao, Sai Lai) Refined approximations of the solutions of a coupled 
system with turning points. 92i:34074 

Heikkila, Seppo (with Lakshmikantham, V.; Sun, Yong) Fixed point results in ordered 
normed spaces with applications to abstract and differential equations. 92j:47110 

Herrero, Miguel A. (with Velazquez, Juan J. L.) Radial solutions of a semilinear elliptic 
problem. 92e:35021 

Huang, Xian Kai 27-periodic solutions to n-dimensional Liénard equations at resonance. 
(Chinese. English summary) 92j:34086 

Hwang, Tzy Wei (with Kuo, Ts’ang Hai; Wang, Ch’ing An) On similarity solutions of 
surface-tension driven flows in a slot with an insulated bottom. 92a:76080 

Jankowski, Tadeusz On the convergence of multistep methods for nonlinear two-point 
boundary value problems. 92¢:65090 

Jeffries, John S. (with Smith, Donald Ray) The Dirichlet problem for a quasilinear 
singularly perturbed second order system. 92g:34072 

— A strongly coupled singularly perturbed quasilinear second-order system. 92i:34069 

Kajikiya, Ryuji Radially symmetric solutions of semilinear elliptic equations, existence and 
Sobolev estimates. 92a:35061 

Karelina, I.G. see Pokornyi, Yu. V., 92e:34043 

Ketkemétyova, Maria On the existence of a solution for nonlinear operator equations in 
Fréchet spaces. 92m:47126 

Keller, Herbert B. Domain decomposition for two-point boundary value problems. 
92a:65329 

Kenzhebaev, K. see Samoilenko, A. M.; et al., 92b:34022 

Klaver, M. H. A. see Bertsch, Michiel, 92h:35075 

Klokov, Yu. A. see Ad"yutov, M. M.; et al., 92h:34023 and Bespalova, S. A., 92m:34051 

Kolosov, A. I. A class of equations with concave operators that depend on a parameter. 
(Russian) 92¢:47075 

(Konyaeva, M. P.) see Grigolyuk, E. I., 92i:73001 

Krasnosel’skii, A. M. Joint norm of operators and the study of nonlinear problems. 
(Russian. Ukrainian summary) 92b:47101 

— On the occurrence of large-amplitude oscillatory regimes in systems with saturation. 
(Russian) 92j:34075 

— see also Dement'eva, A. M.; et al., 92b:34102; 92j:34083 and Appell, Jiirgen, 92m:47122 

Krawcewicz, W. see Erbe, Lynn H., 92c:34015 

Kubicova, Monika Periodic solutions to a nonlinear differential equation of the order 2n + 
1. (Italian summary) 92m:34092 

Kuo, Ts’ang Hai see Hwang, Tzy Wei; et al., 92a:76080 

Kwong, Man Kam (with Zhang, LiQun) Uniqueness of the positive solution of Au + f(u) = 
Oin an annulus. 92b:35015 

— (with Li, Yi?) Uniqueness of radial solutions of semilinear elliptic equations. 92k:35102 

Labisch, F. K. On shearable non-linearly ciastic rings. 92h:73018 

Lakshmikantham, V. see Gupta, Chaitan P., 92d:34039 and Heikkila, Seppo; et al., 
92j:47110 

Lal, Mohan Iterative solution of nonlinear boundary value problems. 92d:34027 

Laptinskii, V. N. An approach to searching for periodic solutions of differential equations. 
(Russian. English summary) 92¢:34020 

— see also Samoilenko, A. M.; et al., 92b:34022 

Larrouturou, B. see Ferretti, R., 92j:80006 

Lassoued, L. Periodic solutions of a second order superquadratic system with a change of 
sign in the potential. 92j:34088 

Lazer, Alan C. (with McKenna, P. J.) Large-amplitude periodic oscillations in suspension 
bridges: some new connections with nonlinear analysis. 92g:73059 

— see also Fonda, A., 92h:34082 

Li, Shu Jie (with Feng, De Xing) A new proof of the Hadamard monodromy theorem and 
the periodic solution for a class of O.D.E. systems at resonance. 92j:47125 

— Multiple critical points of periodic functional and some applications. 92k:58047 

Li, Yi? see Kwong, Man Kam, 92k:35102 

Li, Yong® (with Wang, Huai Zhong) Periodic solutions to higher-order Duffing equations. 








483 1992 


(Chinese. English summary) 92k:34048 

Lin, Chang-Shou see Chen, Chiun Chuan, 92j:35048 

Lin, P. A numerical method for quasilinear singular perturbation problems with turning 
points. (German summary) 92h:65120 

Lin, Zong Chi Singular perturbation of second-order nonlinear systems with nonlinear 
boundary conditions. (Chinese. English summary) 92m:34127 

Liu, Qing Rong (with Sun, Wan Gui) Multiplicity of solutions to Hammerstein’s equations 
and their applications. (Chinese. English summary) 92m:47142 

Liu, Shu De Nonmonotone interior layer theory for singularly perturbed nonlinear 
boundary value problems with generalized turning points. 92g:34073 

Lupo, D. (with Micheletti, A.M.) An application to bifurcation problems of cusps in 
Banach spaces. 92i:58037 

Maksimov, V. P. On the study of the solvability of nonlinear boundary value probl by 
constructive methods. (Russian) 92g:34090 

Malarvizhi, G. see Ramanaiah, G., 92a:76083 

Manasevich, Raul F. see Del Pino, Manuel A., 92g:35028 

Martynyuk, S. V. see Samoilenko, A. M.; et al., 92h:34032 

Mawhin, Jean L. (with Tshinanga, S. B.) Extension des théorémes d’existence de Schmitt 
et Smith aux perturbations d’opérateurs de Fredholm d’indice zéro. [Extension of the 
Schmitt-Smith existence theorems to perturbations of Fredholm operators of index zero] 
92k:47123 

— Generic properties of nonlinear boundary value problems. 92f:47066 

— see also Capietto, Anna; et al., 92h:34131 

McKenna, P. J. see Lazer, Alan C., 92g:73059 

Micheletti, A.M. see Lupo, D., 92i:58037 

Mohapatra, Ram Narayan see Soewono, E.; et al., 92m:76054 

Nabutovsky, Alexander Number of solutions with a norm bounded by a given constant of a 
semilinear elliptic PDE with a generic right-hand side. 92j:35069 

Nakao, Mitsuhiro T. A numerical verification method for the existence of solutions for 
nonlinear boundary value problems. (see 92d:65006) 

Nguyén Xuan Tan Bifurcation problems for equations involving Lipschitz continuous 
mappings. 92a:58029 

Nicolaescu, Liviu I. Radial solutions of some nonlinear elliptic equations involving critical 
Sobolev exponents. (see 92m:49004) 

Nualart, David (with Pardoux, Etienne) Boundary value probl 
equations. 92j:60072 

O’Malley, Robert E., Jr. Different perspectives on some singular perturbation problems. 
92i:34070 

Omari, Pierpaolo see Gossez, Jean-Pierre, 92m:34090 

Pardoux, Etienne see Nualart, David, 92j:60072 

Pavel, Nicolae H. see Aftabizadeh, A. R., 92h:47091 and Aizicovici, Sergiu, 92k:34078 

Peixoto, M. M. (with da Silva, A. R.) Enumerative two-point boundary value problems and 
a theorem of S. Bernstein. 92d:58021 

Peletier, L. A. see Bernis, Francisco; et al., 92k:35162 

Pera, Maria Patrizia see Furi, Massimo, 92f:58146 

Pesjsachowicz, Jacobo see Fitzpatrick, P. M., 92g:58019 

Plum, Michael Verified existence and inclusion results for two-point boundary value 
problems. (see 92d:65006) 

Pokhozhaev, S. 1. Elliptic problems in R” with a supercritical exponent of nonlinearity. 
(Russian) 924:35092 

Pokornyi, Yu. V. (with Karelina, I.G.) Nonlinear comparison theorems on graphs. 
(Russian. Ukrainian summary) 92¢:34043 

Precup, Radu Topological transversality, perturbation theorems and second order 
differential equations. 92i:47081 

Pruszko, Tadeusz see Bielawski, Dariusz, 92k:47120 

Przeradzki, B. An abstract version of the resonance theorem. 92m:47130 

Przybycin, Jolanta Some applications of bifurcation theory to ordinary differential 
equations of the fourth order. 92e:58043 

Pu, Lai Wu Asymptotic solutions to boundary value problems for a class of singularly 
perturbed third-order systems. (Chinese. English summary) 

Rabinowitz, Paul H. (with Tanaka, Kazunaga) Some results on connecting orbits for a class 
of Hamiltonian systems. 92e:58075 

Ramanaiah, G. (with Malarvizhi, G.) A note on exact solutions of certain nonlinear 
boundary value p governing convection in porous media. 92a:76083 

Rivero Mendoza, Jestis (with Szigeti, F.) Composition of Sobolev functions and its 
applications to ordinary differential equations. 92d:46087 

Ronto, N.I. see Samoilenko, A. M.; et al., 92h:34032 

Roos, Hans-Gérg Uniformly enclosing discretization methods for semilinear boundary 
value problems. 92a:65227 

Rudakov, V. P. A generalization of the Eshukov b 
92m:47131 

Samoilenko, A. M. (with Kenzhebaev, K.; Laptinskii, V. N.) Investigation of a periodic 
boundary value problem for nonlinear systems of differential equations. (Russian) 
92b:34022 

— (with Ronto, N. I.; Martynyuk, S. V.) On a numerical-analytic method for problems with 
integral boundary conditions. (Russian. English summary) 92h:34032 

Sandqvist, Allan (with Andersen, Kurt Munk) On the number of closed solutions to an 
equation x = f(t, x), where f,»(t,x) > 0 (n= 1,2, or 3). 92i:34008 

Schaaf, Renate * Global solution branches of two-point boundary value problems. 
92a:34003 

Schuricht, Friedemann Minimax principle for eigenvalue variational inequalities in the 
nonsmooth case. 92i:58052 

Shalashilin, V.I. see Grigolyuk, E. I., 92i:73001 

Shao, Sai Lai see Harris, W. A., Jr., 92i:34074 

da Silva, A. R. see Peixoto, M. M., 92d:58021 

Smith, Donald Ray see Jeffries, John S., 92g:34072 

Ss , E. (with Vajravelu, K.; Mohapatra, Ram Narayan) Existence and nonuniqueness 
of solutions of a singular nonlinear boundary-layer problem. 92m:76054 

— (with Vajravelu, K.; Mohapatra, Ram Narayan) Existence of solutions of a nonlinear 
boundary value problem, arising in flow and heat transfer over a stretching sheet. 








s for stochastic differential 








hl 


dary value p (Russian) 





34B Boundary value problems 


34B20 


Sprekels, Jiirgen see Gomes, Sénia M., 92h:47081 

Sumin, V.I. Volterra functional-operator equations in a problem on the stability of the 
existence of global solutions of boundary value problems. (Russian) 92j:34125 

Sun, Jing Xian Some new fixed point theorems of increasing operators and applications. 
92g:47087 

Sun, Wan Gui see Liu, Qing Rong; et al., 92m:47142 

Sun, Yong A fixed point theorem for mixed monotone operators with applications. 
92g:47088 

— see also Heikkila, Seppo; et al., 92j:47110 

Szigeti, F. see Rivero Mendoza, Jestis, 92d:46087 

Tanaka, Kazunaga see Rabinowitz, Paul H., 92e:58075 

Tertikas, Achilles (with Toland, J. F.) Graph intersection and uniqueness results for some 
nonlinear elliptic problems. 92m:34078 

— see also Brown, K. J., 92e:92018 

Thompson, H. B. Further existence results for two point boundary value probl 
electrodiffusion. (see 92g:00031) 

Tineo, Antonio Existence of two periodic solutions for the periodic equation * = g(t, x). 
92c:34050 

Tiryaki, Aydin Periodic solutions of certain fifth order differential equations. (Turkish 
summary) 92h:34085 

Toland, J. F. see Tertikas, Achilles, 92m:34078 

Tshinanga, S. B. see Mawhin, Jean L., 92k:47123 

Tvrdy, Milan Generalized differential equations in the space of regulated functions 
(boundary value problems and controllability). (Czech summary) 92j:34023 

Usami, Hiroyuki On positive decaying solutions of singular Emden-Fowler-type equations. 
92e:34015 

Vajravelu, K. see Soewono, E.; et al., 92m:76054 

Velazquez, Juan J.L. see Herrero, Miguel A., 92e:35021 

Visentin, F. Stability properties of bifurcating periodic solutions of periodic systems. 
92i:34051 

Viéek, Vladimir To existence of the periodic solution of a third-order nonlinear differential 
equation. (Russian and Czech summaries) 92k:34051 

— Note on existence of periodic solutions to the third-order nonlinear differential equation. 
(Russian and Czech summaries) 92k:34052 

Vol'pert, Vit. A. (with Vol'pert, V1. A.) Propagation velocity estimation for condensed phase 
combustion. 92i:80011 

Vol'pert, V1. A. see Vol’pert, Vit. A., 92i:80011 

Vulanovié, Relja On numerical solution of quasilinear boundary value problems with two 
small parameters. 92j:65117 

— Asecond order numerical method for nonlinear singular perturbation problems without 
turning points. (Russian summary) 92¢:34017 

— Some switching schemes for quasilinear singular perturbation problems. 92k:65116 

Wang, Ch’ing An see Hwang, Tzy Wei; et al., 92a:76080 

Wang, Huai Zhong see Li, Yong’; et al., 92k:34048 

Wang, Jun Yu A boundary value problem for a nonlinear ordinary differential equation 
involving a small parameter—the Riemann problem for a generalized diffusion equation. 
92¢:35059 

Willem, M. see Fournier, Gilles, 92k:58045 

Williams, S. M. see Bernis, Francisco; et al., 92k:35162 

Xie, Xiang Sheng Existence of periodic solutions to nonautonomous systems. (Chinese. 
English summary) 92h:34087 

Xu, Qing The homotopy continuation method for solving 22-periodic solutions to Duffing’s 
equation. (Chinese. English summary) 92g:65063 

Yanagida, Eiji Uniqueness of positive radial solutions of Au + g(r)u + A(r)u? =0in R". 
92g:35067 

-- Structure of positive radial solutions of Matukuma’s equation. 92a:35012 

Yumagulov, M. G. see Dement'eva, A. M.; et al., 92b:34102 and 92j:34083 

Zanolin, Fabio see Capietto, Anna; et al., 92h:34131 

Zhang, LiQun see Kwong, Man Kam, 92b:35015 

Zhang, Xiang Boundary and interior layer behavior for singularly perturbed vector problem. 
(Chinese. English summary) 92g:34075 

— Singular perturbations of nonlinear vector problems with turning points. (Chinese. 
English summary) 92k:34072 

Zhao, Wei Li Singular perturbations of boundary value p 
nonlinear ordinary differential equations. 92c:34063 

Zhidkov, P. E. On existence of denumerable set of the solution of a polaron problem theory. 
(see 92i1:65009) 

Zithan, P. The parametric least squares technique for A-nonlinear eigenvalue problems. 
92m:65102 

Zmitrenko, N. V. see Ad”yutov, M. M.; et al., 92h:34023 





arising in 





for a class of third order 


34B20 Weyl theory and its generalizations 


Abdel-Rahman, A-M. M. see El-Deberky, A. A., 924:34053 

Brazel, Neal (with Lawless, Fiona; Wood, Alastair D.) Exponential asymptotics for an 
eigenvalue of a problem involving parabolic cylinder functions. 92g:34027 

Brown, B. Malcolm (with Kirby, V. G.; Pryce, John D.) A numerical method for the 
determination of the Titchmarsh-Weyl m-coefficient. 92j:34047 

El-Deberky, A. A. (with Abdel-Rahman, A-M. M.) On the limit-2 of fourth order 
diff ial expression. (Arabic summary) 924:34053 

El-Zayat, M. F. On the limit-point classification of a weighted fourth order differential 
expression with complex coefficients. 

Frentzen, Hilbert Limit-point criteria for not necessarily symmetric ordinary differential 
expressions. 924:34054 

Harris, B. J. A note on the asymptotic series associated with a certain Titchmarsh-Weyl m- 
function. 92g:34028 

Kirby, V.G. see Brown, B. Malcolm; et al., 92j:34047 

Krall, Allan M. Direct decomposition of M(A) matrices for Hamiltonian systems. 
924:34055 

— The decomposition of M(A) surfaces using Niessen’s limit circles. 92g:34029 








34B20 


Kroopnick, Allan J. L'-solutions to a class of limit point operators. 92j:34048 

Lawless, Fiona see Brazel, Neal; et al., 92g:34027 

Mirzoev, K. A. Conditions for the existence of solutions of quasidifferential equations that 
do not belong to the space 4?(0,+00). (Russian) 92j:34049 

Pryce, John D. see Brown, B. Malcolm; et al., 92j:34047 

Wood, Alastair D. see Brazel, Neal; et al., 92g:34027 

Xu, Zhi Ting On the limit circle criterion of a type of nonlinear second order ordinary 
differential equations. 92j:34050 


Items with secondary classifications in 34B20 

Danielyan, A. A. (with Levitan, B. M.) Asymptotic behavior of the Weyl-Titchmarsh m- 
function. (Russian) 92d:34056 

Evans, William Desmond (with Everitt, W. Norrie) Hardy-Littlewood integral inequalities. 
92i:34035 

— (with Everitt, W. Norrie) HELP inequalities for limit-circle and regular problems. 
921:34036 

Everitt, W. Norrie (with Littlejohn, L. L.; Williams, Stanley Carl) The left-definite Legendre 
type boundary problem. 92h:34061 

— see also Evans, William Desmond, 92i:34035 and 92i:34036 

Hinton, D. B. (with Shaw, J. K.) Differential operators with spectral parameter incom- 
pletely in the boundary conditions. 92i:34116 

Levitan, B. M. see Danielyan, A. A., 92d:34056 

Littlejohn, L. L. see Everitt, W. Norrie; et al., 92h:34061 

Misyura, T. V. An asymptotic formula for Weyl solutions of Dirac equations. (Russian. 
English summary) 92g:34113 

Shaw, J. K. see Hinton, D. B., 92i:34116 

Williams, Stanley Carl see Everitt, W. Norrie; et al., 92h:34061 


34B24 Sturm-Liouville theory [see also 34Lxx] 


Borovikov, V. A. The Sturm-Liouville problem with nonregular asymptotics of the 
eigenvalues. (Russian) 92m:34065 

Connett, William C. (with Schwartz, Alan L.) Positive product formulas and hypergroups 
associated with singular Sturm-Liouville problems on a compact interval. 92¢:34032 

Danielyan, A. A. (with Levitan, B. M.) Asymptotic behavior of the Weyl-Titchmarsh m- 
function. (Russian) 924:34056 

Dovletov, D. M. A nonlocal boundary value problem of the first kind for the Sturm-Liouville 
operator in a differential and a difference interpretation. (Russian) 92¢:34036 

— Anonlocal boundary value problem of the first kind for the Sturm-Liouville operator in a 
differential and a difference formulation. (Russian) 92g:34030 

Endovitskii, I. 1. On the problem of the stability of solutions of a second-order linear 
equation. (Russian) 92f:34018 

Everitt, W. Norrie (with Littlejohn, L. L.; Williams, Stanley Carl) The left-definite Legendre 
type boundary problem. 92h:34061 

Huang, Cheng Gui The explicit solutions of the Sturm-Liouville problem. 92k:34029 

Hughes, J.B. A homomorphic transformation for eigenfunctions of the Sturm Liouville 
differential operator. 92d:34057 

Levitan, B. M. see Danielyan, A. A., 92d:34056 

Lin, Zhong Yan An estimate for the rate of convergence of expansions in a basis of 
eigenfunctions of a Sturm-Liouville operator of second order. (Chinese. English 
summary) 92f:34019 

Littlejohn, L. L. see Everitt, W. Norrie; et al., 92h:34061 

Mingarelli, A. B. A survey of Sturm-Liouville problems with an indefinite principal part. 
(see 92m:00055) 

Schwartz, Alan L. see Connett, William C., 92c:34032 

Shuster, L. A. A priori estimates for the solutions of the Sturm-Liouville equation and A. M. 
Molchanov’s criterion. (Russian) 92m:34066 

Williams, Stanley Carl see Everitt, W. Norrie; et al., 92h:34061 

Yang, Yisong A comparison of eigenvalues of two Sturm-Liouville problems. 92¢:34033 

Yuan, Xiao Ping Regular Sturm-Liouville problems under mixed selfadjoint boundary 
conditions. (Chinese. English summary) 92h:34062 

Zayed, Ahmed I. On Kramer’s sampling theorem associated with general Sturm-Liouville 
problems and Lagrange interpolation. 92b:34038 


Items with secondary classifications in 34B24 

Andersson, Lars-Erik Algorithms for solving inverse eigenvalue problems for Sturm- 
Liouville equations. (see 92a:00040) 

Ashbaugh, Mark S. (with Svirsky, Roman) Periodic potentials with minimal energy bands. 
92¢:34097 

Bensch, F. see Niihez, Josué Arturo; et al., 92d:34003 

Binding, P. A. (with Browne, Patrick J.) Asymptotics of eigencurves for second order 
ordinary differential equations. I. 92b:34101 

— (with Browne, Patrick J.) Asymptotics of eigencurves for second order ordinary 
differential equations. II. 92i:34115 

Bogolyubov, N. N., Jr. (with Prikarpat-skii, A. K.) A bilocal periodic problem for Sturm- 
Liouville and Dirac operators, and some applications in the theory of nonlinear 
dynamical systems. I. (Russian. Ukrainian summary) 92a:58059 

Browne, Patrick J. see Binding, P. A., 92b:34101 and 92i:34115 

Connett, William C. (with Markett, Clemens; Schwartz, Alan L.) Convolution and 
hypergroup structures associated with a class of Sturm-Liouville systems. 92j:43005 

Craig, Walter Floquet exponents for Jacobi fields. 92f:58129 

Darwish, A. A. On a singular boundary value problem with spectral parameter in the 
boundary condition. 924:34037 

De Meyer, Hans E. see Vanden Berghe, Guido, 92a:65230 

Doual, Nasser (with Howland, James L.; Vaillancourt, Rémi) Selective solutions to 
transcendental equations. 92h:65083 

Eremin, M.S. On the spectral matrix of the Sturm-Liouville equation with an impurity 
potential that is bounded on the line. (Russian) 92¢:34098 

Gasymov, M. G. (with Guseinov, I. M.; Nabiev, I. M.) An inverse problem for the Sturm- 
Liouville operator with nonseparable selfadjoint boundary conditions. (Russian) 


ORDINARY DIFFERENTIAL EQUATIONS 


92b:34027 

Gekhtman, M. M., Jr. On estimates for normalized eigenfunctions of the Sturm-Liouville 
operator with nonsmooth coefficients. (Russian) 

Gladwell, G. M. L. The application of Schur’s algorithm to an inverse eigenvalue problem. 
92d:65139 

Gonchar, A. A. (with Novikova, N. N.; Khenkin, G. M.) Multipoint Padé approximants in 
an inverse Sturm-Liouville problem. (Russian) 92j:34030 

Gorbachuk, M. L. (with Knyukh, B. I.) An inverse problem for the elliptic Sturm-Liouville 
equation in a Hilbert space. (Russian. Ukrainian summary) 92m:34040 

Gordon, A. Ya. A deterministic potential with a purely point spectrum. (Russian) 
92b:34104 

Guillot, J.-C. (with Ralston, James V.) Inverse spectral theory for a singular Sturm- 
Liouville operator on [0,1]. 92d:34029 

Gupta, Chaitan P. Existence and uniqueness theorems for a fourth order boundary value 
problem of Sturm-Liouville type. 92i:34025 

Guseinov, I. M. see Gasymov, M. G.; et al., 92b:34027 

Horvath, Miklés (with Jo6, Istvan; Sévegjart6, A.) On Sturm-Liouville difference 
equations. 92b:34026 

Howland, James L. see Doual, Nasser; et al., 92h:65083 

Izvekov, I. G. The localization principle for expansions of generalized functions in 
eigenfunctions of the Sturm-Liouville operator on a finite interval. (Russian. Ukrainian 
summary) 92e:34121 

Jédar, Lucas Sturm-Liouville problems for the second order Euler operator differential 
equation. 92¢:34066 

Jo6, Istvan see Horvath, Miklés; et al., 92b:34026 

Karelina, I.G. see Pokornyi, Yu. V., 92e:34043 

Khenkin, G. M. see Gonchar, A. A.; et al., 92j:34030 

Knyukh, B. I. see Gorbachuk, M. L., 92m:34040 

Kobayashi, Mei Sturm-Liouville systems with potentials 0.5 cos 2nx. 92a:65229 

Korsch, H. J. see Nuiiez, Josué Arturo; et al., 92d:34003 

Levitan, B. M. (with Sargsyan, I. S.) * Sturm-Liouville and Dirac operators. 92i:34119 

Lezcano Rodriguez, Luis Enrique A distribution formula for the eigenvalues of the Sturm- 
Liouville operator. (Spanish. English summary) 92c:34096 

Linden, Hansjérg Leighton’s bounds for Sturm-Liouville eigenvalues with eigenvalue 
parameter in the boundary conditions. 924:34158 

Lomov, I. S. Properties of root functions of the Sturm-Liouville operator that are discontin- 
uous on an everywhere dense set. (Russian) 92e:34116 

Lorch, Lee Report on some higher monotonicity properties of Sturm-Liouville functions. 
92g:34040 

Ma, Zhong Qi Generalized Levinson’s theorem. (see 92b:58002) 

Malamud, M. M. On transformation operators for ordinary differential equations. 
(Russian) 92:34076 

Mantlik, Frank (with Schneider, Albert!) Note on the absolutely continuous spectrum of 
Sturm-Liouville operators. 92b:34103 

— Ona conjecture of J. Weidmann. 92d:34159 

Markett, Clemens see Connett, William C.; et al., 92j:43005 

Marletta, Marco (with Pryce, John D.) Automatic solution of Sturm-Liouville problems 
using the Pruess method. 

Miiller-Pfeiffer, E. On the existence of conjugate points for Sturm-Liouville equations on 
noncompact intervals. 92h:34071 

Nabiev, I. M. see Gasymov, M. G.; et al., 92b:34027 

Novikova, N. N. see Gonchar, A. A.; et al., 92j:34030 

Niifiez, Josué Arturo (with Bensch, F.; Korsch, H. J.) On the solution of Hill’s equation 
using Milne’s method. 924:34003 

Pivovarchik, V. N. The Sturm-Liouville problem with a potential linear in spectral 
parameter. (see 92c:00015) 

Pokornyi, Yu. V. (with Karelina, I. G.) Nonlinear comparison theorems on graphs. 
(Russian. Ukrainian summary) 92¢e:34043 

Prikarpat-skii, A. K. see Bogolyubov, N. N., Jr., 92a:58059 

Pryce, John D. see Marletta, Marco 

Pych-Taberska, Paulina On the rate of convergence of Sturm-Liouville expansions. (Russian 
summary) 92e:34118 

Ralston, James V. see Guillot, J.-C., 92d:34029 

del Rio Castillo, Rafael R. Embedded eigenvalues of Sturm-Liouville operators. 92h:47067 

— Stability of a singular continuous spectrum of Sturm-Liouville operators. 92k:34115 

Rundell, William (with Sacks, Paul E.) Reconstruction techniques for classical inverse 
Sturm-Liouville problems. 92h:34034 

Sacks, Paul E. see Rundell, William, 92h:34034 

Sargsyan, I.S. see Levitan, B. M., 92i:34119 

Schneider, Albert! see Mantlik, Frank, 92b:34103 

Schwartz, Alan L. see Connett, William C.; et al., 92j:43005 

Shibata, Tetsutaro The relationship between the variational eigenvalues and its critical 
values for semilinear Sturm-Liouville problems. (Italian summary) 92i:34031 

Shterengas, S.S. Riesz summability in L, of series in eigenfunctions of the Sturm-Liouville 
operator. (Russian) 924:34154 

Simbirskii, M. N. The inverse Sturm-Liouville problem for almost periodic potentials with 
positive Fourier exponents. (Russian. English summary) 92e:34123 

Sévegjarté, A. see Horvath, Miklés; et al., 92b:34026 

Stolz, Ginter On the absolutely continuous spectrum of perturbed Sturm-Liouville 
operators. 92d:34161 

Svirsky, Roman see Ashbaugh, Mark S., 92c:34097 

Vaillancourt, Rémi see Doual, Nasser; et al., 92h:65083 

Vanden Berghe, Guido (with De Meyer, Hans E.) Accurate computation of higher Sturm- 
Liouville eigenvalues. 92a:65230 

Vu Quoc Thanh Generalization of a theorem of M. M. Gekhtman for a nonlinear Sturm- 
Liouville equation. (Russian) 92¢:34035 

Xia, Ning Mao The eigenfunction expansion of the solution for the nonhomogeneous 
Sturm-Liouville problem containing white noise. 92f:34079 

Yurko, V. A. Solution of the Boussinesq equation on the half-line by the inverse problem 
method. 92m:35225 



















485 





1992 


Zahreddine, Z. Reducibility of second order differential operators with complex coefficients. 
92d:34162 

Zakharevich, I. S. Spectral problems for the Sturm-Liouville equation with a parameter. 
The geometry of finite-gap potentials. (Russian) 92h:34162 


34B27 Green functions 


Castellanos Pena, René see Lépez Vidaurreta, Jorge; et al., 92d:34058 

Dudek-Chwatek, Elzbieta Green function for boundary value problems of certain ordinary 
differential equation. (Polish summary) (see 92c:00013) 

Lépez Iribar, José see Lépez Vidaurreta, Jorge; et al., 92d:34058 

Lépez Vidaurreta, Jorge (with Oses Recio, Jorge; Castellanos Pena, René; Lopez Iribar, José) 
Construction of the Green function for L = d?/dx? + q and the associated discrete case. 
(Spanish. English summary) 92d:34058 

Oses Recio, Jorge see Lépez Vidaurreta, Jorge; et al., 92d:34058 

Items with secondary classifications in 34B27 

Boichuk, A. A. * KoucTpyKTHBHbIe MeTObI aHasiH3a KpaeBbIx 3aa4. (Russian) [Construc- 
tive methods in the analysis of boundary value problems] 92a:34020 

(Danilenko, V. A.) see Boichuk, A. A., 92a:34020 

Ermilov, A. N. see Kabanovich, V. 1.; et al., 92d:39004 

Greengard, Leslie (with Rokhlin, Vladimir V.) On the numerical solution of two-point 
boundary value problems. 92a:34018 

Kabanovich, V. 1. (with Ermilov, A. N.; Kurbatov, A. M.) On recursive definition of the 
Green function of finite difference and differential operators. 92d:39004 

Khristov, E. Kh. see Zhidkov, E. P., 92i:58145 

Kurbatov, A. M. see Kabanovich, V. L.; et al., 92d:39004 

Murty, K. N. (with Prasad, K. R.) Solution of a nonhomogeneous Liapunov’s equation. 
92¢:34021 

Prasad, K.R. see Murty, K. N., 92c:34021 

Rokhlin, Vladimir V. see Greengard, Leslie, 92a:34018 

Rusnak, Jan On certain nonlinear boundary value problems of the third order. (German, 
Russian and Slovak summaries) 92¢:34034 

Zhidkov, E. P. (with Khristov, E. Kh.) Spectral problems of mathematical physics related 
to nonlinear equations of the KdV type. (Russian. English summary) 92i:58145 


34B30 Special equations (Mathieu, Hill, Bessel, etc.) 


Adomian, George A. see Rach, R. C.; et al., 92i:34034 

Arriola, E.R. (with Zarzo, A.; Dehesa, J. S.) Spectral properties of the biconfluent Heun 
differential equation. 92i:34033 

Baghdasarian, A. see Rach, R. C.; et al., 92i:34034 

Dehesa, J.S. see Arriola, E. R.; et al., 92i:34033 

Goldberg, Wallace A generalization of an inverse problem on a second order boundary value 
problem. 92g:34031 

Rach, R.C. (with Baghdasarian, A.; Adomian, George A.) Differential equations with 
singular coefficients. 92i:34034 

Romanovich, T. N. Calculation of a class of improper integrals by the method of a hybrid 
Fourier-second kind Hankel-Fourier integral transformation. (Russian) 92m:34067 

Stepin, S. A. Spectral analysis of a singular boundary value problem that models the 
vibrations of the atmosphere. (Russian) 92f:34020 

— The vertical structure of vibrations in the atmosphere: double completeness of eigenfunc- 
tions of the problem. (Russian) 92f:34021 

Zarzo, A. see Arriola, E. R.; et al., 92i:34033 


Items with secondary classifications in 34B30 

Aktosun, Tuncay (with van der Mee, C. V. M.) Scattering for 1D Schrédinger equation 
with energy-dependent potentials and the recovery of the potential from the reflection 
coefficient. 92b:81211 

Beckers, J. (with Debergh, N.) On the symmetries of relativistic spin-} particle equations. 
92i:81105 

Chiccoli, C. see Dattoli, G.; et al., 92m:33037 

Danto, Jozef, Jr. (with Huta, Anton, Jr.) On the differential equation for the generalized 
hypergeometric function. (Russian and Slovak summaries) 92b:33011 

Dattoli, G. (with Chiccoli, C.; Lorenzutta, S.; Maino, Giuseppe; Richetta, M.; Torre, 
Amalia) Generating functions of multivariable generalized Bessel functions and Jacobi- 
elliptic functions. 92m:33037 

Debergh, N. see Beckers, J., 92i:81105 

Elbert, Arpad (with Siafarikas, P.D.) On the zeros of aC,(x) + xCi(x), where C,(x) isa 
cylinder function. 92k:33005 

Farid, F.O. Spectral properties of perturbed linear operators and their application to 
infinite matrices. 92b:47017 

Han, Sung S. (with Kwon, Kil H.) Spectral analysis of Bessel polynomials in Krein space. 
92g:49031 

Hufa, Anton, Jr. see Danto, Jozef, Jr., 92b:33011 

Inayat-Hussain, A. A. Mathieu integral transforms. 92b:35043 

Khapalyuk, A. P. Solutions of the Bessel equation. (Russian) 92f:34006 

Kwon, Kil H. see Han, Sung S., 92g:49031 

Lorenzutta, S. see Dattoli, G.; et al., 92m:33037 

Maino, Giuseppe see Dattoli, G.; et al., 92m:33037 

van der Mee, C. V. M. see Aktosun, Tuncay, 92b:81211 

Richetta, M. see Dattoli, G.; et al., 92m:33037 

Rusnak, Jan Constructions of lower and upper solutions for a nonlinear boundary value 
problem of the third order and their applications. (Russian summary) 92c:34022 

Siafarikas, P.D. see Elbert, Arpad, 92k:33005 

Spigler, Renato (with Vianello, Marco) Global existence and uniqueness for the Kummer 
transformation problem subject to non-Cauchy data. 92i:34018 

Tan, Yong see Thouless, D. J. 

Thouless, D. J. (with Tan, Yong) Total bandwidth for the Harper equation. III. Corrections 

to scaling. 


34C Qualitative theory 





Torre, Amalia see Dattoli, G.; et al., 92m:33037 

Vianello, Marco see Spigler, Renato, 92i:34018 

Yurko, V. A. A problem in elasticity theory. (Russian) 92b:73032 

Zhang, De Tong A homotopy method for solving a class of two-point boundary value 
problems. (Chinese. English summary) 92b:65057 


34B99 None of the above, but in this section 


Evans, William Desmond (with Everitt, W. Norrie) Hardy-Littlewood integral inequalities. 
92i:34035 

— (with Everitt, W. Norrie) HELP inequalities for limit-circle and regular problems. 
92i:34036 

Everitt, W. Norrie see Evans, William Desmond, 92i:34035 and 92i:34036 

Ilkiv, V.S. Perturbations of a nonlocal problem for differential equations with pseudodif- 
ferential coefficients. (Russian) 92e:34037 

Littlejohn, L. L. Symmetry factors for differential equations with applications to orthogonal 
polynomials. 924:34059 


Items with secondary classifications in 34B99 


Daniels, P.G. (with Weinstein, Marcel Mordechai) A note on the solution of a third-order 
eigenvalue problem arising in convective instability. 

El Bestawy, R.S. see Sobeih, M. M. 

Greenberg, Leon An oscillation method for fourth-order, selfadjoint, two-point boundary 
value problems with nonlinear eigenvalues. 92c:65094 

Sobeih, M. M. (with El Bestawy, R.S.) A study for finding the solution of a differential 
equation by using approximations. (Arabic summary) 

Tamanyan, G. Yu. Estimation of the remainders of asymptotic expansions of solutions of 
higher-order equations. (Russian) 92a:34056 

Weinstein, Marcel Mordechai see Daniels, P. G. 


34Cxx Qualitative theory [see also 58Fxx] 


Bautin, N. N. (with Leontovich, E. A.) * Metogpi 4 mpHeMbI KayecTBeHHOrO HCCNeMOBaHHA 
J\MHaMH4eCKHX CHCTeM Ha mockocTu. (Russian) [Methods and rules for the qualitative 
study of dynamical systems on the plane] 92j:34051 

Leontovich, E. A. see Bautin, N. N., 92j:34051 


Items with secondary classifications in 34Cxx 


Beyn, Wolf-Jiirgen Numerical methods for dynamical systems. (see 92f:65005) 

(Campbell, David K.) see Nonlinear science: the next decade, 92j:00035 

(Ecke, Robert E.) see Nonlinear science: the next decade, 92j:00035 

Hubbard, John H. (with West, Beverly H.) * Differential equations: a dynamical systems 
approach. Part I. 92b:34001 

(Hyman, James M.) see Nonlinear science: the next decade, 92j:00035 

Jackson, E. Atlee * Perspectives of nonlinear dynamics. Vol. 1. 92m:58032 

— * Perspectives of nonlinear dynamics. Vol. 2. 92m:58033 

Mardanov, I. Dzh. Construction of the integral manifold of solutions of a system of 
difference equations. (Russian) 

Wang, Fu Jun Two epidemic models for the migration of populations. (Chinese. English 
summary) 

West, Beverly H. see Hubbard, John H., 92b:34001 


Items listed otherwise than by author 


Conference: 
Center for Nonlinear Studies * Nonlinear science: the next decade. 92j:00035 
Nonlinear Science: the Next Decade * Nonlinear science: the next decade. 92j:00035 
Los Alamos, NM * Nonlinear science: the next decade. 92j:00035 
Nonlinear science: the next decade * Nonlinear science: the next decade. 92j:00035 


34C05 Location of integral curves, singular points, limit cycles 


Alekseev, A. A. On the absence of simple and multiple limit cycles of a system of differential 
equations. (Russian) 92g:34032 

Amelkin, V. V. Classification of limit cycles. (Russian) 92j:34052 

— Some properties of generalized strong limit cycles. (Russian. English summary) 
92h:34063 

Baltag, V. A. Cubic null-systems of differential equations. (Russian) 92c¢:34034 

Billeke G., J. (with Burgos Vega, Hernan; Wallace C., Myrna) Some theorems on the 
nonexistence, uniqueness and existence of two limit cycles for the Liénard equation of 
degree five. 92j:34053 

— see also Burgos, H., 92d:34060 

Bunyakin, A. V. Singular points of the solution of the Lorenz system of differential 
equations. (Russian) 92j:34054 

Burgos, H. (with Billeke G., J.) Stability problems of perturbed Liénard equations by 
polynomials in 8/@y direction. (Spanish) 92d:34060 

Burgos Vega, Hernan see Billeke G., J.; et al., 92j:34053 

Burkin, I. M. On the existence of limit cycles of the second kind of multidimensional phase 
synchronization systems. (Russian) 92m:34068 

Cai, Sui Lin (with Zhang, Ping Guang) Uniqueness of limit cycles of quadratic systems. 
(Chinese. English summary) 92k:34030 

— (with Ma, Hui) The center-focus decision problem for singular points of generalized 
Liénard equations. (Chinese. English summary) 92k:34031 

— see also Zhang, Ping Guang, 92j:34064 

Caldas, I. L. see Viana, R. L.; et al., 92h:34066 

Chaika, I. V. see Ushkho, D. S., 92a:34027 

Chalkova, N.S. see Mints, R. M., 92m:34072 

Chen, Chao Yi On the existence of exactly n limit cycles for the Liénard type differential 
equation. II. (Chinese. English summary) 92a:34025 

Chen, Xiu Dong (with Zhang, Xin Xiang) Qualitative analysis of a class of differential 

equation models for a first-stage saturation reaction. (Chinese. English summary) 


34C05 


Conti, Roberto On centers of cubic systems. 92¢:34038 

Coppel, W. A. A new class of quadratic systems. 92j:34055 

Dang, Xin Yi (with Li, Lin) Bounded cubic systems. III. (Chinese. English summary) 

— see also Li, Lin; et al. 

Danilyuk, V.I. (with Shubé, A. S.) Distinguishing the cases of the center and focus for 
cubic systems with six parameters. (Russian) 92i:34037 

Duval, Anne The Kovacic algorithm with applications to special functions. 92i:34038 

Gu, Dao Xiu A qualitative analysis of a class of multimolecular biochemical systems. 
(Chinese. English summary) 92m:34069 

Guo, Zhi Zhong Realization of C; (1 < k < 2n + 1) for the polynomial X = P2n41(x,y), ¥ = 
Qon+1(X, y). (Chinese. English summary) 92j:34056 

Han, Li (with Tian, Jing Huang) * The maximum number of singularities with index 1. 
92g:34033 

Han, Mao An A class of limit cycles of differential equations with three singular points. 
(Chinese) 92k:34032 

— Research methods for two-dimensional Liénard systems and their results. (Chinese. 
English summary) 92m:34070 

Han, Yu Liang A class of cubic systems with a ninth order singular point. 92f:34022 

Huang, Li Hong (with Qian, Xiang Zheng) Uniqueness and existence of limit-cycles in two 
classes of nonlinear differential systems. 92¢:34039 

— (with Yu, Jian She; Qian, Xiang Zheng) Limit cycles of a class of nonlinear differential 
systems. (Chinese. English summary) 924:34061 

James, E.M. (with Lloyd, N.G.) A cubic system with eight small-amplitude limit cycles. 
92m:34071 

Jiang, You Lin Uniqueness of limit cycles of a class of predator-prey systems. (Chinese. 
English summary) 92j:34057 

Kalin, Yu. F. Conditions for qualitative pictures with centers for a complete quadratic 
system with Jo = 0, K; #0.(Russian) 92j:34058 

Karshiev, A. Sh. Qualitative investigation of a polynomial generalized-h geneous 
differential system of the second degree of class (a;,a2). (Russian) 92j:34059 

Kazakevich, M. 1. (with Red’ko, S. F.) Evolutions of domains of attraction in the nonlinear 
asymmetric Duffing system. (Russian. English summary) 

Kooij, Robert E. Existence and uniqueness of limit cycles in quadratic systems of class 
(III);-m=0- 92j:34060 

Li, Ji Bin see Ren, Hong Shan; et al., 924d:34062 

Li, Lin (with Dang, Xin Yi) Bounded cubic systems. II. (Chinese. English summary) 

— see also Dang, Xin Yi; et al. 

Li, Wen Hua see Zhang, Ping Guang; et al. 

Li, Xue Min A criterion for identifying the local topological structure of a class of cubic 
differential systems. (Chinese) 

Liu, De Ming! Necessary and sufficient conditions of existence and uniqueness of limit 
cycles for a class of polynomial system. 92g:34034 

— Necessary and sufficient conditions for existence and uniqueness of a limit cycle for a class 
of polynomial systems. (Chinese) 92c:34035 

Lloyd, N. G. (with Pearson, Jane Margaret) Conditions for a centre and the bifurcation of 
limit cycles in a class of cubic systems. 92b:34039 

— see also James, E. M., 92m:34071 

Lynch, S. Small-amplitude limit cycles of Liénard systems. 92j:34062 

Ma, Hui see Cai, Sui Lin; et al., 92k:34031 

Makeev, N.G. The structure of the first return function in a neighborhood of a separatrix 
loop of a complex saddle. (Russian) 92i:34039 

— A differential equation that determines the Poincaré function in a neighborhood of a 
focus. (Russian) 92f:34023 

Malyshev, Yu. V. (with Zakharov, V. P.) Linear generalized Lyapunov functions and limit 
cycles. (Russian) 92¢:34036 

Markov, S. N. On the behavior of solutions of a second-order system of special type near 
moving singular points. (Russian) (see 92f:00018) 

Mints, R. M. (with Chalkova, N.S.) Application of the geometric method of A. A. 
Andronov to the investigation of equilibrium states in three-dimensional space. (Russian) 
92m:34072 

Pearson, Jane Margaret see Lloyd, N. G., 92b:34039 

Popa, M.N. Application of invariant processes to the study of homogeneous linear 
particular integrals of a differential system. (Russian) 92h:34065 

— (with Sibirskii, K. S.) Integral lines of a general quadratic differential system. (Russian. 
English and Moldavian summaries) 92h:34064 

Qian, Xiang Zheng see Huang, Li Hong; et al., 92d:34061; Yu, Jian She; et al., 92d:34063 and 
Huang, Li Hong; et al., 92e:34039 

Red‘ko, S. F. see Kazakevich, M. I. 

Ren, Hong Shan (with Li, Ji Bin) A further classification by the number of singular points 
of Yan Qian Ye’s method of classifying quadratic differential systems in the plane. 
(Chinese. English summary) 924:34062 

Sabatini, Marco A sufficient condition for a polynomial centre to be global. (Italian 
summary) 92m:34073 

Sadovskii, A. P. Conditions for the problem of the center and focus to arise for an A3- 
system. (Russian) 92a:34026 

Schlomiuk, Dana Algebraic integrals of quadratic systems with a weak focus. 92b:34040 

Shen, Bo Qian The problem of the existence of limit cycles and separatrix cycles of cubic 
curves in quadratic systems. (Chinese) 92k:34033 

— A necessary and sufficient condition for the existence of parabolic separatrix cycles in a 
quadratic system. (Chinese. English summary) 92k:34034 

— see also Zhao, Zhen Hai; et al. 

Shube, A.S. see Danilyuk, V. I., 92i:34037 

Sibirskii, K.S. see Popa, M. N., 92h:34064 

Sun, Jian Hua The limit cycles of a class of higher-degree polynomial systems and their 
application to the quadratic system (III). (Chinese) 92b:34041 

Suo, Guang Jian The maximum number of limit cycles of the system of differential 
equations x = y, y = x(1 — x”) + (a — x”)y and their relative positions. (Chinese) 

Tasso, H. see Viana, R. L.; et al., 92h:34066 

Tian, Jing Huang * On weak singular points of quadratic systems. 92g:34035 

— see also Han, Li, 92g:34033 





ORDINARY DIFFERENTIAL EQUATIONS 


1992 486 


Ushkho, D.S. (with Chaika, I. V.) Limit cycles of an autonomous system with algebraic 
right-hand sides. (Russian) 92a:34027 

Viana, R. L. (with Caldas, I. L.; Tasso, H.) Limit cycle behaviour in some nonlinear 
parametric impulsive excitation problems. 92h:34066 

Vulpe, N. I. Coefficient conditions for the number and multiplicity of singular points of a 
quadratic differential system. (Russian) 92c:34037 

Wallace C., Myrna see Billeke G., J.; et al., 92j:34053 

Wang, Dong Ming A class of cubic differential systems with 6-tuple focus. 92g:34036 

Wang, Feng” About the super-bound of the limit circles number of the perturbation system. 
92g:34037 

Wang, Ke’ A generalization of the Poincaré-Bendixson annular region theorem. (Chinese. 
English summary) 92j:34063 

Wang, Xian The conditions for having at most two limit cycles in Liénard systems. 
(Chinese. English summary) 92k:34035 

— Some cubic Liénard systems with at most one limit cycle. 92k:34036 

Xie, Xiang Dong On the existence and uniqueness of limit cycle for a class of cubic system. 
92h:34067 

Yang, Xin An A survey of cubic systems. 92k:34037 

Yu, Jian She (with Qian, Xiang Zheng) Existence and uniqueness theorems for limit cycles 
of the Liénard equation. (Chinese. English summary) 924:34063 

— see also Huang, Li Hong; et al., 92d:34061 

Zakharov, V. P. see Malyshev, Yu. V., 92c:34036 

Zhang, Ping Guang Study of nonexistence of limit cycle around a weak focus of order two 
or three for quadratic systems. 924:34064 

— The uniqueness problem of limit cycle of quadratic systems (II)_,). 92j:34061 

— (with Cai, Sui Lin) Quadratic systems with a weak focus. 92j:34064 

— (with Li, Wen Hua) A quadratic system with weak focus and strong focus. 

— see also Cai, Sui Lin; et al., 92k:34030 

Zhang, Xin Xiang see Chen, Xiu Dong; et al. 

Zhao, Zhen Hai (with Shen, Bo Qian) Uniqueness of limit cycles of a class of quadratic 
systems. (Chinese. English summary) 

Zhu, De Ming Cycle control functions and the number of limit cycles. 924:34065 

Zhuang, Yu Limit cycles of quadratic systems with parabolic solutions. (Chinese. English 
summary) 92m:34074 


Items with secondary classifications in 34C05 

Amemiya, Takashi On the global asymptotic stability of nonlinear discrete time systems 
depending on several past steps. 92g:54052 

Andreev, A. F. Justification of Frommer’s method for systems of class C®. (Russian) 
92k:34056 

Belikov, S. A. (with Samborskii, S. N.) “Canard”-cycles of fast-slow fields with a one- 
dimensional slow component. (Russian) 92f:34050 

Belyustina, L. N. (with Kinyapina, M. S.; Fishman, L. Z.) The dynamics of a phase 
synchronization system with delay. (Russian) 92i:34091 

Bryuno, A. D. On a finitely smooth linearization of a system of differential equations near a 
hyperbolic singular point. (Russian) 92j:58092 

Cafias, Moisés see Urbina, A. M.; et al., 92f:58144 

Carbonell, Marc (with Llibre, Jaume) Hopf bifurcation, averaging methods and Liapunov 
quantities for polynomial systems with homogeneous nonlinearities. 92m:34087 

Chen, Wei Huan Existence of integrating factors for complete differential equations. 
(Chinese) 924:34026 

Chen, Xiu Dong see Li, Jia Xu; et al., 92b:92018 

Chicone, Carmen (with Jacobs, Marc) Bifurcation of limit cycles from quadratic 
isochrones. 92¢:58143 

Ecalle, Jean P. Finitude des cycles-limites et accéléro-sommation de l’application de retour. 
[Finiteness of limit-cycles and accelero-summation of the return mapping] 92e:58166 

Ekimov, A. V. On the bifurcation of birth of a limit cycle from a compound complex focus. 
(Russian. English summary) 92h:34078 

El-Leithy, O. A. see El-Owaidy, H. 

El-Owaidy, H. (with El-Leithy,O. A.) Limit cycles in a predator-prey system with mutual 
interference and density-dependent death rates. 

Fan, Hong Yi? see Li, Jia Xu; et al., 92b:92018 

Fishman, L. Z. see Belyustina, L. N.; et al., 92i:34091 

Forbes, Lawrence K. (with Myerscough, Mary R.; Gray, Brian F.) On the presence of 
limit-cycles in a model exothermic chemical reaction: Sal‘nikov’s oscillator with two 
temperature-dependent reaction rates. 92j:80008 

Furi, Massimo (with Pera, Maria Patrizia) A continuation principle for the forced spherical 
pendulum. (French summary) 92f:58146 

Gasull, Armengol Disappearance of limit cycles for some families of planar vector fields. 
92i:58148 

Gray, Brian F. see Forbes, Lawrence K.; et al., 92j:80008 

Gu, Dao Xiu Existence and uniqueness of a class of limit cycles of quartic ecological 
systems. (Chinese. English summary) 92c:92021 

Hatik, Milo’ (with Michalikova, Elena) A note on monotonicity of zeros of Bessel 
functions as functions of order. (German, Russian and Czech summaries) 92b:33006 

Hara, Tadayuki see Sugie, Jitsuro, 92m:34095 

Huang, Xun Cheng Uniqueness of limit cycles in a predator-prey model simulating an 
immune response. 92b:92051 

Ilyashenko, Yu. S. Finiteness theorems for limit cycles. (Russian) 92a:58110 

— * Finiteness theorems for limit cycles. 92k:58221 

— Finiteness theorems for limit cycles. 92¢:58110 

Jacobs, Mare see Chicone, Carmen, 92e:58143 

Jiang, Tian Lai see Li, Jia Xu; et al., 92b:92018 

Karakostas, George The rate of satiation in a cooperative system. 92c¢:92023 

Kashchenko, S. A. Normalization in a neighborhood of a cycle of systems of parabolic 
equations with small diffusion. (Russian. Ukrainian summary) 92j:35096 

Keller, Joseph B. Diffusively coupled dynamical systems. 92k:35132 

Kinyapina, M.S. see Belyustina, L. N.; et al., 92i:34091 

Komuro, Motomasa Periodic and homoclinic orbits in continuous piecewise linear vector 
fields. 92g:58106 





487 1992 


Leon de la Barra, G. see Urbina, A. M.; et al., 92f:58144 

Le6n de la Barra, M. see Urbina, A. M.; et al., 92f:58144 

Li, Ji Bin see Liu, Yi Rong; et al., 92b:58190 and 92}:34009 

Li, Jia Xu (with Fan, Hong Yi; Jiang, Tian Lai; Chen, Xiu Dong) Qualitative analysis of 
differential equations for a class of multimolecular reaction models. (Chinese. English 
summary) 92b:92018 

Liang, Zhao Jun Topological classification of the quadratic differential systems on RP?. 
(Chinese) 92a:58111 

— Several problems on the global analysis of polynomial differential systems. (Chinese 
summary) 92m:58117 

Litvinenko, D. V. Generating cycles of quadratic systems with a cubic Hamiltonian. 
(Russian. English summary) 92d:58167 

Liu, Yi Rong (with Li, Ji Bin) On the singularity values of complex autonomous differential 
systems at singular points. (Chinese) 92b:58190 

— (with Li, Ji Bin) Theory of values of singular point in complex autonomous differential 
systems. 92j:34009 

Llibre, Jaume see Carbonell, Marc, 92m:34087 

MardeSié, Pavao An explicit bound for the multiplicity of zeros of generic Abelian integrals. 
92h:58163 

(McFaden, Harold H.) see Il'yashenko, Yu. S., 92k:58221 

Medved, Milan Normal forms and bifurcations of some equivariant vector fields. (Russian 
summary) 92c:58133 

Michalikova, Elena see Hatik, Milo’, 92b:33006 

Mints, R. M. (with Sintsova, N. B.) A study of the phase space of a mathematical model of 
the interaction of two types of prey and one type of predator. (Russian) 92c:92032 

Mirenghi, Elvira (with Salvatore, Addolorata) Periodic solutions of Lagrangian inclusions. 
92i:49020 

Mischaikow, Konstantin Dynamic phase transitions: a connection matrix approach. 
92b:82091 

Mourtada, Abderaouf Cyclicité finie des polycycles hyperboliques du plan. (English 
summary) [Finite cyclicity of hyperbolic polycycles in the plane] 92¢:58168 

Moussu, R. (with Roche, Claude André) Théorie de Hovanskii et probleme de Dulac. 
[Khovanskii’s theory and the Dulac problem] 92e:58169 

Muratori, Simona see Rinaldi, Sergio, 92i:92016 

Myerscough, Mary R. see Forbes, Lawrence K.; et al., 92j:80008 

Pera, Maria Patrizia see Furi, Massimo, 92f:58146 

Perko, L. M. Bifurcation of limit cycles: geometric theory. 92¢:34046 

Pittaluga, Giovanna (with Sacripante, Laura) Inequalities for the zeros of the Airy 
functions. 92b:33009 

Rinaldi, Sergio (with Muratori, Simona) Limit cycles in slow-fast forest-pest models. 
92i:92016 

Roche, Claude André see Moussu, R., 92e:58169 

Roitenberg, V. Sh. Bifurcations of separatrices that are asymptotic to a separatrix contour. 
(Russian) 92e:58148 

Romanovskii, V.G. The properties of an ideal that is generated by Lyapunov quantities. 
(Russian) 92h:58164 

Rousseau, Christiane (with Zoladek, Henryk) Zeroes of complete elliptic integrals for 1 : 2 
resonance. 92j:58086 

Sacripante, Laura see Pittaluga, Giovanna, 92b:33009 

Salvatore, Addolorata see Mirenghi, Elvira, 92i:49020 

Samborskii, S. N. see Belikov, S. A., 92f:34050 

Selgrade, James F. Limits of heteroclinic orbits in a competitive model with genetic 
variation. 92b:92025 

Shashkov, M. V. Bifurcation of separatrix contours on two-dimensional surfaces. I. 
(Russian) 92d:34086 

Sintsova, N. B. see Mints, R. M., 92c:92032 

Sugie, Jitsuro (with Hara, Tadayuki) Nonexistence of periodic solutions of the Liénard 
system. 92m:34095 

Terp, Christian Flow-invariant sets. 92h:34097 

Urbina, A. M. (with Cafias, Moisés; Leén de la Barra, G.; Leén de la Barra, M.) Perturba- 
tions of a Hamiltonian family of cubic vector fields. 92f:58144 

Virogradov, V. V. Limit cycles of a system of interacting populations. (Russian. English 
summary) 92h:34086 

Vol’berg, A. L. Asymptotically holomorphic functions and certain of their applications. (see 
92m:00054) 

Wang, Cheng Wen A new proof of Poincaré-Bendixson’s annular-region theorem. (Chinese. 
English summary) 92e:58170 

— A class of functional response ecological systems with prey having constant rate of 
increase. (Chinese. English summary) 92k:34053 

Wang, Yu Quan The limit cycle and the global stability of a class of biochemical reaction 
models. (Chinese summary) 92b:92014 

Ye, Wei Yin see Ye, Yan Qian; et al., 92k:58222 

Ye, Yan Qian Rotated vector fields decomposition method and its application. 92b:58194 

— Relative position of the critical points of a certain cubic system and a generalization of the 
Bendixon index formula. 92a:58081 

— (with Ye, Wei Yin) Triangulation and fundamental triangles of the phase-portraits of a 
quadratic differential system. 92k:58222 

Zhang, Ping Guang A qualitative analysis of two ecological systems. (Chinese. English 
summary) 92k:92022 

Zhang, Wei-Bin Cyclical economic growth—re-examining the Goodwin model. 92c:90034 

Zoladek, Henryk see Rousseau, Christiane, 92j:58086 


34C10 Oscillation theory, zeros, disconjugacy and comparison 
theory 


Ali, Z. see Zaghrout, Afaf A. S., 92h:34072 

Atadzhanov, B. A. Sufficient conditions for oscillation and nonoscillation of fourth-order 
equations. (Russian. English summary) 92b:34042 

Balachandran, Krishnan see Thandapani, E., 92j:34068 


34C Qualitative theory 


34C10 


Bugir, M. K. Some properties of nonoscillatory solutions. (Russian) 92¢:34038 

— Oscillation properties of systems of differential equations with nonnegative coefficients. 
(Russian. English summary) 92m:34075 

Chanturiya, T. A. see Khvedelidze, N. N., 92d:34067 and 92h:34070 

Cheng, Chong Gao (with Deng, Zong Qi) Sturm comparison theorems for derivatives of 
solutions to second-order linear homogeneous equations. (Chinese. English summary) 

Chéng, Sui Shéng Lyapunov inequality for system disconjugacy of even order differential 
equations. 92j:34065 

Coles, W. J. Oscillation for selfadjoint second order matrix differential equations. 
92b:34043 

Danilov, L. I. (with Ivanov, A.G.) A comparison theorem on the uniform oscillation of a 
linear equation. (Russian) 92h:34068 

— (with Ivanov, A. G.) Effective sufficient conditions for the uniform oscillation of a linear 
differential equation. (Russian) 92h:34069 

Del Pino, Manuel A. (with Elgueta, Manuel; Manasevich, Raul F.) Generalizing Hartman’s 
oscillation result for (|x’|?-2x’)’ + c(t)|x|?-2x =0, p > 1. 92e:34040 

Deng, Zong Qi (with Ruan, Shi Gui) Oscillation with respect to partial variables of linear 
second-order differential systems. 92g:34038 

— see also Ruan, Shi Gui; et al., 92i:34040 and Cheng, Chong Gao; et al. 

DoSl4, Zuzana Higher monotonicity properties of special functions: application on Bessel 
case |u| < }. 92b:34044 

Doily, Ondiej (with Ositka, Jan) On oscillation criteria for selfadjoint linear differential 
equation of the fourth order. (Russian and Czech summaries) 92e:34041 

— On the existence of conjugate points for linear differential systems. (Russian summary) 
92a:34028 

— On some problems in the oscillation theory of selfadjoint linear differential equations. 
92b:34045 

Elgueta, Manuel see Del Pino, Manuel A.; et al., 92¢:34040 

Erbe, Lynn H. (with Liang, Zhong Chao) Qualitative behavior of a generalized Emden- 
Fowler differential system. 92g:34039 

Hatik, Milo’ (with Omey, Edward) On the zeros of oscillatory solutions of linear second- 
order differential equations. 92m:34076 

Harris, B. J. On an oscillation criterion of Cohn. 92j:34066 

Hinkkanen, A. (with Rossi, John) Schwarzian derivatives and zeros of solutions to second 
order linear differential equations. 92b:34046 

Huang, Shu Rong (with Tang, Mu Zhong) Oscillation of solution of second-order 
differential equations. 92j:34067 

Ivanov, A. G. see Danilov, L. 1., 92h:34068 and 92h:34069 

Jones, Gary D. Oscillatory solutions of a fourth order linear differential equation. 
92d:34066 

Karelina, I1.G. see Pokornyi, Yu. V., 92¢:34043 

Katranov, A. G. On the asymptotics of zeros of oscillating solutions of some two- 
dimensional linear differential systems. (Russian) (see 92i:34002) 

Khvedelidze, N. N. Integral conditions for the existence of oscillatory solutions of 
third-order linear differential equations. (Russian. English and Georgian summaries) 
92e:34042 

— (with Chanturiya, T. A.) Oscillation of solutions of third-order linear ordinary differen- 
tial equations. (Russian) 924:34067 

— (with Chanturiya, T. A.) Oscillation of solutions of third-order linear ordinary differen- 
tial equations. II. (Russian) 92h:34070 

Kosmala, Witold A. Oscillatory behavior of bounded solutions of a higher order equation. 
92¢:34039 

Liang, Zhong Chao see Erbe, Lynn H., 92g:34039 

Lorch, Lee Report on some higher monotonicity properties of Sturm-Liouville functions. 
92¢:34040 

Mandsevich, Raul F. see Del Pino, Manuel A.; et al., 92e:34040 

Miiller-Pfeiffer, E. On the existence of conjugate points for Sturm-Liouville equations on 
noncompact intervals. 92h:34071 

Omey, Edward see Hatik, Milos, 92m:34076 

Ositka, Jan see Dodly, Ondfej, 92e:34041 

Philos, Ch. G. (with Purnaras, I. K.) Oscillations in superlinear differential equations of 
second order. 92m:34077 

Pokornyi, Yu. V. (with Karelina, I. G.) Nonlinear comparison theorems on graphs. 
(Russian. Ukrainian summary) 92e:34043 

Purnaras, I. K. see Philos, Ch. G., 92m:34077 

Ragab, A. A. see Zaghrout, Afaf A. S., 92e:34044 

Rossi, John see Hinkkanen, A., 92b:34046 

Ruan, Shi Gui (with Deng, Zong Qi) Oscillation of second-order linear differential systems. 
(Chinese. English summary) 92i:34040 

— see also Deng, Zong Qi, 92g:34038 

Tang, Mu Zhong see Huang, Shu Rong; et al., 92j:34067 

Tertikas, Achilles (with Toland, J. F.) Graph intersection and uniqueness results for some 
nonlinear elliptic problems. 92m:34078 

Thandapani, E. (with Balachandran, Krishnan) A note on the nonoscillation of a nonlinear 
equation. 92j:34068 

— A note on: “Oscillation criteria for second order nonlinear perturbed differential 
equations” [J. Math. Anal. Appl. 138 (1989), no. 1, 157-165; MR 90j:34054] by C. C. 
Yeh. 

Toland, J. F. see Tertikas, Achilles, 92m:34078 

Wong, James S. W. Oscillation of sublinear second order differential equations with 
integrable coefficients. 92i:34041 

— Oscillation criteria for second order nonlinear differential equations with integrable 
coefficients. 92i:34042 

Yeh, Cheh Chih Levin’s comparison theorems for second order nonlinear differential 
equations and inequalities. (Serbo-Croatian summary) 

— see also Thandapani, E. 

Yu, Yuan Hong Leighton type oscillation criterion and Sturm type comparison theorem. 
92k:34038 

Zaghrout, Afaf A.S. (with Ragab, A. A.) Oscillatory behaviour of solutions of y” + P(x)y = 
S (x). 920:34044 





34C10 


— (with Ali, Z.) On oscillations of second order linear differential equations. 92h:34072 
Zhang, Wen Kui Oscillation and spectral analysis of generalized differential equations. 
92a:34029 


Items with secondary classifications in 34C10 
Awrejcewicz, J. Numerical versus analytical conditions for chaos, using the example of the 
’ Duffing oscillator. 92d:58127 

Bank, Steven B. On the oscillation theory of periodic linear differential equations. 
92d:34012 

— (with Langley, J. K.) On the zeros of the solutions of the equation w*) + (Re? + Q)w = 
0. 92a:34009 

— (with Langley, J. K.) Oscillation theory for higher order linear differential equations with 
entire coefficients. 92g:34003 

— On oscillation, continuation, and asymptotic expansions of solutions of linear differential 
equations. 92j:34005 

Berezovskaya, F.S. (with Medvedeva, N. B.) A complex singular point of the “center- 
focus” type and the Newton diagram. (Russian) 92b:58189 

Diaz, Jerry Comparison theorems for eigenvalue problems for right disfocal differential 
equations. 92d:34038 

Dodly, Ondrej Oscillation criteria and the discreteness of the spectrum of selfadjoint, even 
order, differential operators. 92h:34159 

Eastham, M.S. P. The number of resonant states in perturbed harmonic oscillation. 
92d:34075 

Fiedler, Frank About certain fourth-order ordinary differential operators—oscillation and 
discreteness of their spectrum. 92e:34114 

Gao, Shi An Two theorems on the complex oscillation theory of nonhomogeneous linear 
differential equations. 92j:34006 

Gasanov, A. Z. Existence and oscillatory properties of the eigenfunctions of some nonlinear 
boundary value problems. (Russian) (see 92g:00019) 

Grace, S. R. On the oscillatory and asymptotic behavior of d. 
equations. 92a:34071 

Grove, E. A. (with Kulenovi¢é, M. R. S.; Ladas, G.) A Myskis-type comparison result for 
neutral equations. 92e:34095 

Huang, Cun Zhi Some results on the complex oscillation theory of second order linear 
differential equations. 92k:34003 

Kajikiya, Ryuji Infinitely many radially symmetric solutions of certain semilinear elliptic 
equations. 92m:34058 

Karelina, I.G. see Pokornyi, Yu. V., 92k:34083 and 92k:34084 

Karsai, J. Some attractivity results for second order nonlinear ordinary differential 
equations. 92¢:34040 

Klaczak, Jerzy Kneser oscillation theorem for differential equations with piecewise constant 
argument. 92m:34158 

Knop, W. see Scheffczyk, C.; et al. 

Kulenovi¢é, M. R.S. see Grove, E. A.; et al., 92e:34095 

Kurz, T. see Scheffczyk, C.; et al. 

Ladas, G. (with Qian, Chuan Xi) Oscillatory behavior of difference equations with positive 
and negative coefficients. 92j:39007 

— (with Qian, Chuan Xi) Comparison results and linearized oscillations for higher-order 
difference equations. 92j:39010 

— (with Qian, Chuan Xi; Yan, Ju Rang) A comparison result for the oscillation of delay 
differential equations. 92g:34097 

— see also Grove, E. A.; et al., 92e:34095 

Langley, J. K. Some oscillation theorems for higher order linear differential equations with 
entire coefficients of small growth. 92g:34004 

— see also Bank, Steven B., 92a:34009 and 92g:34003 

Lauterborn, Werner see Scheffczyk, C.; et al. 

La, Wa Du Oscillation of solutions to second-order differential equations of advanced type. 
(Chinese) 92m:34163 

Mazurov, M. E. Solution of Diophantine inequalities in problems on the synchronization of 
relaxation oscillations. (Russian) 92m:11032 

Medvedeva, N. B. see Berezovskaya, F. S., 92b:58189 

Meng, Fan Wei On oscillation of solution of nth-order forced functional-differential 
equations. 92¢:34082 

Parhi, N. Oscillatory behaviour of solutions of first-order ordinary and delay differential 
equations. 92a:34077 

Parlitz, U. see Scheffczyk, C.; et al. 

Peterson, Allan C. (with Ridenhour, Jerry) Oscillation of second order linear matrix 
difference equations. 92e:39010 

— (with Ridenhour, Jerry) Atkinson’s superlinear oscillation theorem for matrix difference 
equations. 92k:39003 

Pinto, Manuel Continuation, nonoscillation and asymptotic formulae of solutions of second 
order nonlinear differential equations. 92e:34014 

Pokornyi, Yu. V. (with Karelina, I.G.) On the Green function for the Dirichlet problem on 
agraph. (Russian) 92k:34083 

— (with Karelina, I.G.) Nonlinear comparison theorems on graphs. (Russian) 92k:34084 

Postnikov, N.S. Stochastic self-induced oscillations in a relay system with hysteresis. 
(Russian) 92i:34088 

Qian, Chuan Xi see Ladas, G.; et al., 92g:34097; 92j:39007 and 92j:39010 

Ridenhour, Jerry see Peterson, Allan C., 92e:39010 and 92k:39003 

Sazonov, V. V. On the dependence of solutions of equations of motion of mechanical 
systems on a large parameter. (Russian) 92b:70015 

Scheffezyk, C. (with Parlitz, U.; Kurz, T.; Knop, W.; Lauterborn, Werner) Comparison of 
bifurcation structures of driven dissipative nonlinear oscillators. 

Shi, Song Ling On the finiteness of certain boundary cycles for nth degree polynomial 
vector fields. 92b:58193 

Simirad, Constantin (with Ursescu, Corneliu) On the boundedness of solutions and 
oscillations of some classes of differential systems. 92m:34079 

Szafratiski, Zdzistaw (with Szmanda, Blazej) Oscillatory properties of solutions of some 
difference systems. (Serbo-Croatian summary) 92¢:39015 

Szmanda, Blaiej see Szafrariski, Zdzislaw, 92e:39015 


Lait: 


ped functic ential 





ORDINARY DIFFERENTIAL EQUATIONS 


Ursescu, Corneliu see Simirad, Constantin, 92m:34079 

Wang, Shu Pei Complex oscillation properties of solutions to the equation f” + P(z) f’ + 
Q(z)f =0. (Chinese. English summary) 92a:34011 

Yan, Ju Rang see Ladas, G.; et al., 92g:34097 


34C11 Growth, boundedness, comparison of solutions 


Bochkarév, P.M. Boundedness properties of solutions of a two-parameter family of second- 
order differential equations. (Russian) (see 92e:00011) 

Dobrokhotova, M. A. Exponential solutions of a third-order linear differential equation with 
periodic coefficients. (Russian. English and Georgian summaries) 92a:34030 

Gutsu, V.I. On the bounded solutions of differential equations with impulses. (see 
92m:49004) 

Ivanov, B. F. Conditions for the boundedness of solutions of some linear systems. (Russian) 
92a:34031 

Iwano, Masahiro On a 4-parameter family of bounded solutions of a nonlinear 4-system 
with an irregular type singularity not satisfying Poincaré’s condition. 924:34068 

Jin, Jun Uniform boundedness of solutions to a class of nonlinear differential equations. 
(Chinese. English summary) 92e:34045 

Karsai, J. Some attractivity results for second order nonlinear ordinary differential 
equations. 92c:34040 

Kato, Junji A simple boundedness theorem for a Liénard equation with damping. 
92d:34069 

Kvinikadze, G.G. Rapidly increasing solutions of systems of nonlinear ordinary differential 
equations. (Russian. English and Georgian summaries) 92d:34070 

Manmrilla, Dugan On solutions of nonlinear differential equation in the class Lp. (German, 
Russian and Czech summaries) 92d:34071 

McLeod, Kevin A general /-theorem for semilinear elliptic equations. (see 92m:35003) 

Memory, Margaret C. (with Ward, James Robert, Jr.) The Conley index and the method of 
averaging. 92f:34024 

Molony, Jeffrey L. Autonomous polynomial differential systems with finite escape times. 
92b:34047 

Pucci, Patrizia (with Serrin, James) Continuation and limit properties for solutions of 
strongly nonlinear second order differential equations. 92j:34069 

Seifert, George Global asymptotic behavior of solutions of positively damped Liénard 
equations. 92d:34072 

Serrin, James see Pucci, Patrizia, 92j:34069 

Simirad, Constantin (with Ursescu, Corneliu) On the boundedness of solutions and 
oscillations of some classes of differential systems. 92m:34079 

Smith, Hal L. Periodic tridiagonal competitive and cooperative systems of differential 
equations. 92g:34041 

Spezamiglio, Adalberto Bounded solutions of ordinary differential equations, and stability. 
(Portuguese. English summary) 92h:34073 

Taniguchi, Takeshi On the estimate of solutions of perturbed linear differential equations. 
92¢:34041 

Ursescu, Corneliu see Simirad, Constantin, 92m:34079 

Vinograd, Robert E. Exact bounds for exponential dichotomy roughness. II. An example of 
attainability. 92e:34046 

— Exact bounds for exponential dichotomy roughness. III. Semistrong dichotomy. 
92e:34047 

Ward, James Robert, Jr. Averaging, homotopy, and bounded solutions of ordinary 
differential equations. 92k:34039 

— see also Memory, Margaret C., 92f:34024 

Yeh, Cheh Chih Levin’s comparison theorems for second order nonlinear differential 
equations and inequalities. 92g:34042 


Items with secondary classifications in 34C11 

Alymkulov, E. D.-A. Aggregation of systems of ordinary differential equations, and stability 
problems. (Russian) 92f:34040 

Andres, Jan Four-point and asymptotic boundary value problems via a possible modifica- 
tion of Poincaré’s mapping. 92m:34050 

Bainov, Drumi D. see Kulev, G. K., 92b:34024; Dishliev, A. B., 92b:34025 and Simeonov, P. 
S., 92m:34028 

Cepitis, J. On the existence of a bounded solution for a system of second-order ordinary 
differential equations with nonsummable singularities. (Russian. English and Latvian 
summaries) 92j:34035 

Chang, Ch’iu Chiin (with Fang, Yung Fu) Remarks on the existence of positive solutions of 
semilinear elliptic equations in R". 92k:35089 

Chen, Bo Shan The asymptotic behavior of some differential equations with unbounded 
delay. (Chinese) 92¢:34086 

Chen, Shao Zhu (with Huang, Qing Guang; Erbe, Lynn H.) Bounded and zero-convergent 
solutions of a class of Stieltjes integro-differential equations. 92¢:34075 

Del Pino, Manuel A. (with Elgueta, Manuel; Manasevich, Raul F.) Generalizing Hartman’s 
oscillation result for (|x’|?-2x’)’ + c(t)|x|?-2x =0, p > 1. 92e:34040 

Diblik, Josef On existence of d-bounded solutions of a nonhomogeneous linear system of 
differential equations. 92i:34007 

Dishliev, A. B. (with Bainov, Drumi D.) Continuous dependence on the initial condition 
and a parameter of the solutions of a class of differential equations with variable structure 
and impulses. 92b:34025 

Duisova, A.D. Approximation of a solution of a linear limit-periodic differential equation 
that is bounded on the entire axis. (Russian. English and Kazakh summaries) 92k:34014 

Dzhumabaev, D.S. Approximation of a bounded solution, and exponential dichotomy on 
the line. (Russian) 92j:34028 

Elgueta, Manuel see Del Pino, Manuel A.; et al., 92e:34040 

Erbe, Lynn H. (with Liang, Zhong Chao) Qualitative behavior of a generalized Emden- 
Fowler differential system. 92g:34039 

— see also Chen, Shao Zhu; et al., 92¢:34075 

Fang, Yung Fu see Chang, Ch’iu Chiin; et al., 92k:35089 

Huang, Qing Guang see Chen, Shao Zhu; et al., 92¢:34075 

Jiang, Ji Fa A Liapunov function for three-dimensional feedback systems. 92g:93080 





489 1992 


Jin, Jun Boundedness of solutions to nonlinear systems of fourth order. (Chinese. English 
summary) 924:34102 

Jones, Gary D. Oscillatory solutions of a fourth order linear differential equation. 
92d:34066 

Karakostas, George The rate of satiation in a cooperative system. 92c:92023 

Koksal, Semen Boundedness properties and perturbing Lyapunov functions. 92m:34122 

Krishna, S. V. (with Ravindranadh Babu, G. V.; Vasundhara Devi, J.) Dichotomies for 
impulsive differential systems. 92m:34032 

Kulcsér, Stefan Boundedness and stability of solutions of a certain nonlinear differential 
equation of the second order. 92m:34107 

Kulev, G. K. (with Bainov, Drumi D.) (/o, h)-boundedness of the solutions of differential 
systems with impulses. 92b:34024 

Kulik, V. L. see Mitropol’skii, Yu. A.; et al., 92m:34001 

Kuo, Chung Shéng On the semilinear elliptic equation Aw — }y - Vw + Aw — w~4 =Oin 
R". 92j:35051 

Liang, Zhong Chao see Erbe, Lynn H., 92g:34039 

Lin, Fa Xing On the relationship between exponential dichotomies and Fredholm operator. 

Lin, Yi Zhong The equivalence problem for the existence of bounded solutions to systems 
of ordinary differential equations and to systems of differential-difference equations of 
advanced type. (Chinese. English summary) 92e:34101 

Manasevich, Raul F. see Del Pine, Manuel A.; et al., 92e:34040 

Marié, Vojislav (with Tomi¢, Miodrag) A classification of solutions of second order linear 
differential equations by means of regularly varying functions. 92m:34129 

Medina, Rigoberto On the boundedness and stability of the solutions of semilinear 
differential equations. 92h:34026 

Michelson, Daniel Bunsen flames as steady solutions of the Kuramoto-Sivashinsky 
equation. 92j:35179 

Mitropol'skii, Yu. A. (with Samoilenko, A. M.; Kulik, V. L.) * Mccnezosanua aHxoTOMHH 
JIMHEMHBIX CHCTeM ZudepeHUMasIbHbIX ypaBHeHHH Cc NOMOUIbIO byHKuHA JlanyHosa. 
(Russian) [Studies in the dichotomy of linear systems of differential equations by means 
of Lyapunov functions] 92m:34001 

Pan, Xing Bin Existence of singular solutions of semi-linear elliptic equation in R". 
92m:35079 

Ravindranadh Babu, G. V. see Krishna, S. V.; et al., 92m:34032 

Rother, Wolfgang! Existence and bifurcation results for a class of nonlinear boundary value 
problems in (0,00). 92k:34025 

Samoilenko, A. M. see Mitropol'skii, Yu. A.; et al., 92m:34001 

Savkin, A. V. Bounded solutions of a Riccati matrix differential equation. (Russian) 
92g:34015 

Scheurle, Jiirgen Splitting of separatrices and chaos. 92b:58124 

Simeonov, P.S. (with Bainov, Drumi D.) On the asymptotic properties of the solutions of 
systems of differential equations with impulse effect. 92m:34028 

Spigler, Renato (with Vianello, Marco) Global existence and uniqueness for the Kummer 
transformation problem subject to non-Cauchy data. 92i:34018 

Tang, Bao Rong Global behavior of a class of cooperative systems. (Chinese) 92i:34059 

Tomi¢, Miodrag see Mari¢, Vojislav, 92m:34129 

Vasundhara Devi, J. see Krishna, S. V.; et al., 92m:34032 

Vianello, Marco see Spigler, Renato, 92i:34018 

Xie, Qing Xiang Boundedness conditions of nth order nonhomogeneous linear differential 
equations in terms of Green functions. 92j:34018 

Xu, Zhi Ting On the limit circle criterion of a type of nonlinear second order ordinary 
differential equations. 92j:34050 


34C15 Nonlinear oscillations 


Amick, Charles J. A problem in neural networks. 92k:34040 

Andres, Jan Problem of Barbashin in the case of forcing. 92f:34025 

Aronson, D. G. (with Doedel, Eusebius J.; Othmer, Hans G.) The dynamics of coupled 
current-biased Josephson junctions. II. 92¢:34042 

(Ballesteros Elias, Antonio) see Butenin, N. V.; et al., 92k:34042 

Belogortsev, A. B. Analytical approach to the torus bifurcations in the quasiperiodically 
forced van der Pol oscillator. 92j:34070 

Belykh, V. N. (with Chemodanov, V.1.) Qualitative investigation of a mathematical model 
of interacting rotators. (Russian) 92j:34071 

Belyustina, L. N. (with Kiveleva, K.G.) Complex motions in the nonautonomous van der 
Pol equation. (Russian) 92i:34043 

Bibikov, Yu. N. Construction of invariant tori of systems of differential equations with a 
small parameter. (Russian) 92i:34044 

— *% Muoroyacroruble HemHHehubie Kone6aHus Hu Hx GudypKauun. (Russian) [Multifrequency 
nonlinear oscillations and their bifurcations] 92i:34045 

Bosley, D. L. (with Kevorkian, J.) Sustained resonance in very slowly varying oscillatory 
Hamiltonian systems. 92f:34026 

Bountis, Tassos see Mahmoud, G. M., 92g:34046 

Bourland, F. Jay (with Haberman, Richard) Separatrix crossing: time-invariant potentials 
with dissipation. 924:34073 

— (with Haberman, Richard) Capture and the connection formulas for the transition across 
a separatrix. 924:34074 

— (with Haberman, Richard; Kath, William L.) Averaging methods for the phase shift 
of arbitrarily perturbed strongly nonlinear oscillators with an application to capture. 
92k:34041 

Broomhead, D.S. see Healey, J. J.; et al., 92a:34033 

Butenin, N. V. (with Neimark, Yu. I.; Fufaev, N. A.) * Introduccidn a la teoria de 
oscilaciones no lineales. (Spanish) [Introduction to the theory of nonlinear oscillations] 
92k:34042 

Cassell, J.S. Nonresonant solutions of the perturbed harmonic oscillator and related 
differential systems. 92¢e:34048 

Chang, Yi-Hua (with Segur, Harvey) An asymptotic symmetry of the rapidly forced 
pendulum. 92h:34074 

Chemodanov, V.I. see Belykh, V. N., 92j:34071 


34C Qualitative theory 


34C15 


Chen, Shu Hui (with Zhang, You Qi; Lau, S. L.) On perturbation procedure for limit cycle 
analysis. 92b:34048 

Cheng, Chong Qing The Hopf-Landau noncrossed sequence of a nonlinear oscillatory 
system. (Chinese) 

Cherednikov, P.I. see Zuev, N. G.; et al. 

Cliffe, K. A. see Healey, J. J.; et al., 92a:34033 

DeLong, K. W. (with Yumoto, Junji; Finlayson, N.) Dynamics of the nonperiodic discrete 
self-trapping equation. 92h:34075 

Ditto, W. L. see Heagy, J., 92j:34073 

Dixon, J. M. (with Tuszytski, J. A.; Otwinowski, M.) Special analytical solutions of the 
damped-anharmonic-oscillator equation. 92g:34043 

Doedel, Eusebius J. see Aronson, D. G.; et al., 92¢:34042 

Dum, R. see Schmidt, Ginter, 92a:34035 

Eastham, M.S. P. The number of resonant states in perturbed harmonic oscillation. 
92d:34075 

Englisch, V. (with Lauterborn, Werner) Regular window structure of a double-well Duffing 
oscillator. 92d:34076 

Ermentrout, George Bard see Kopell, N.; et al., 92m:34081 

Fernandez Sanjuan, M. A. (with Valero, J. L.; Velarde, Manuel G.) Dissipative hydrody- 
namic oscillators. VII. The two-component Lorenz model as a Duffing oscillator, and in- 
tegrability. 92j:34072 

Finlayson, N. see DeLong, K. W.; et al., 92h:34075 

Flashner, Henryk see Guttalu, Ramesh S., 92a:34032 

Foale, S. (with Thompson, J. M. T.) Geometrical concepts and computational techniques 
of nonlinear dynamics. 92g:34044 

Fufaev, N. A. see Butenin, N. V.; et al., 92k:34042 

Glebskaya, O. Yu. (with Korolev, V. I.; Rotkov, L. Yu.) Periodic and quasiperiodic 
oscillations in a self-oscillating system with three degrees of freedom. (Russian) 
92m:34080 

Guttalu, Ramesh S. (with Flashner, Henryk) Analysis of dynamical systems by truncated 
point mappings and cell mapping. 92a:34032 

Haberman, Richard see Bourland, F. Jay, 92d:34073; 92d:34074 and 92k:34041 

Heagy, J. (with Ditto, W. L.) Dynamics of a two-frequency parametrically driven Duffing 
oscillator. 92j:34073 

Healey, J. J. (with Broomhead, D. S.; Cliffe, K. A.; Jones, Robin; Mullin, T.) The origins of 
chaos in a modified van der Pol oscillator. 92a:34033 

Henderson, M. E. (with Levi, Mark L.; Odeh, F.) The geometry and computation of the 
dynamics of coupled pendula. 92g:34045 

Ilyashenko, Yu. S. Rapidly-linear relaxation oscillations. (Russian) 92j:34074 

Jiménez Olivo, Pedro see Petia Miralles, Juan; et al., (92b:00044) 

Jin, Jun Existence, uniqueness and asymptotic stability of periodic solutions of a nonlinear 
equation in phase locked technology. 924:34077 

Jones, Robin see Healey, J. J.; et al., 92a:34033 

Kath, William L. see Bourland, F. Jay; et al., 92k:34041 

Kevorkian, J. see Bosley, D. L., 92f:34026 

Kiveleva, K.G. see Belyustina, L. N., 92i:34043 

Kopell, N. (with Ermentrout, George Bard; Williams, T. L.) On chains of oscillators forced 
at one end. 92m:34081 

Korolev, V. I. see Glebskaya, O. Yu.; et al., 92m:34080 

Kosenko, I. I. The application of Chebyshev polynomials for constructing a trajectory of 
perturbed motion in nonlinear mechanics. (Russian) 92a:34034 

Kozubovskaya, I.G. Amplitude characteristic of a generalized Mathieu equation. (Russian) 
92£:34027 

Krasnosel/skii, A. M. On the occurrence of large-amplitude oscillatory regimes in systems 
with saturation. (Russian) 92j:34075 

Landa, P.S. Stochastic and chaotic self-induced oscillations in dynamical systems. 
(Russian) 92¢:34043 

Lau, S. L. see Chen, Shu Hui; et al., 92b:34048 

Lauterborn, Werner see Englisch, V., 92d:34076 

Lazer, Alan C. (with McKenna, P. J.) Periodic bouncing for a forced linear spring with 
obstacle. 92m:34082 . 

Levi, Mark L. see Henderson, M. E.; et al., 92g:34045 ' 

Macki, Jack W. (with Nistri, Paolo; Zecca, Pietro) A theoretical justification of the method 
of harmonic balance for systems with discontinuities. 92i:34046 

Mahmoud, G. M. (with Bountis, Tassos) On synchronized periodic solutions of a 
parametrically forced van der Pol oscillator. 92g:34046 

McKenna, P. J. see Lazer, Alan C., 92m:34082 

Mickens, Ronald E. (with Oyedeji,O.) Dual periodic modes for two linearly coupled 
identical singular oscillators. 

Mikhailov, A. S. (with Poteryaiko, I. Yu.) Some types of dynamical behavior in models of 
reproductive networks. (Russian. English summary) 92k:34043 

Mirollo, Renato E. see Strogatz, Steven H., 92h:34077 

Morozov, A. D. On the qualitative behavior of solutions in a neighborhood of the nonlinear 
center of two-dimensional time-periodic systems that are close to Hamiltonian systems. 
(Russian) 92m:34083 

Mullin, T. see Healey, J. J.; et al., 92a:34033 

Muiioz-Cobo Gonzalez, José Luis see Petia Miralles, Juan; et al., (92b:00044) 

Neimark, Yu. 1. see Butenin, N. V.; et al., 92k:34042 

Nistri, Paolo see Macki, Jack W.,; et al., 92i:34046 

Nocilla, Silvio On exact calculation of forced vibrations of a system with hysteresis. 
92j:34076 

Odeh, F. see Henderson, M. E.; et al., 92g:34045 

Ostrovskii, L. A. From nonlinear oscillations to nonlinear waves. (Russian) 92j:34077 

— (with Soustova, I. A.) Phase-locking effects in a system of nonlinear oscillators. 92i:34047 

Othmer, Hans G. see Aronson, D. G.; et al., 92¢:34042 

Otwinowski, M. see Dixon, J. M.; et al., 92g:34043 

Oyedeji, O. see Mickens, Ronald E. 

Peiia Miralles, Juan (with Sanchis Arnal, Ricardo; Jiménez Olivo, Pedro; Verdi Martin, 
Gumersindo; Muiioz-Cobo Gonzalez, José Luis) Domains of attraction of a nonlinear 
oscillator. (Spanish. English summary) (see 92b:00044) 





34C15 


Pierre, Christophe (with Shaw, Steven W.) Mode localization due to symmetry-breaking 
nonlinearities. 924:34078 

— see also Shaw, Steven W., 92j:34078 

Poteryaiko, I. Yu. see Mikhailov, A. S., 92k:34043 

Rotkov, L. Yu. see Glebskaya, O. Yu.; et al., 92m:34080 

Ryabov, V. B. (with Vavriv, D. M.) Conditions of quasiperiodic oscillation destruction in 
the weakly nonlinear Duffing oscillator. 92c:34044 

Saet, Yuly A. (with Viviani, G. L.) Quasilinear and relaxational realms in multiple regime 
self-oscillators. 92i:34048 

Sanchis Arnal, Ricardo see Peita Miralles, Juan; et al., (92b:00044) 

Sandrakov, G. V. Evolution of resonances under perturbation of a system with constant 
frequencies. (Russian) 92g:34047 

Saribaév, M. Integral manifolds of multifrequency oscillatory systems. (Russian) 
92m:34084 

Schmidt, Ginter (with Dum, R.) Parametrically excited nonlinear vibrations, onset of 
chaos. (German and Russian summaries) 92a:34035 

Segur, Harvey see Chang, Yi-Hua, 92h:34074 

Seshadri, M.S. Perturbative treatment of conservative and nonconservative oscillators. 
92h:34076 

Shaw, Steven W. (with Pierre, Christophe) Nonlinear normal modes and invariant 
manifolds. 92j:34078 

— see also Pierre, Christophe, 924:34078 

Shen, Wen Xian Dynamical behavior in the equation of J-J type with large DC-current. 
(Chinese summary) 92i:34049 

Soustova, I. A. see Ostrovskii, L. A., 92i:34047 

Strogatz, Steven H. (with Mirollo, Renato E.) Stability of incoherence in a population of 
coupled oscillators. 92h:34077 

— see also Swift, James W.; et al., 92m:34085 

Swift, James W. (with Strogatz, Steven H.; Wiesenfeld, Kurt) Averaging of globally coupled 
oscillators. 92m:34085 

Tatarinov, Ya. V. Superposition of nonlinear oscillations with evolution near the equilib- 
rium manifold of reversible systems. (Russian) 92b:34049 

Thompson, J. M.T. see Foale, S., 92g:34044 

Titarenko, A. M. see Zuev, N. G.; et al. 

Tomberg, E. A. Self-induced oscillations in nonlinear systems. (Russian) 92k:34044 

Tuszytiski, J. A. see Dixon, J. M.; et al., 92g:34043 

Valero, J. L. see Fernandez Sanjuan, M. A.; et al., 92j:34072 

Vavriv, D. M. see Ryabov, V. B., 92¢:34044 

Velarde, Manuel G. see Fernandez Sanjuan, M. A.; et al., 92j:34072 

Verdi Martin, Gumersindo see Peiia Miralles, Juan; et al., (92b:00044) 

Viviani, G. L. see Saet, Yuly A., 92i:34048 

Wiesenfeld, Kurt see Swift, James W.; et al., 92m:34085 

Williams, T. L. see Kopell, N.; et al., 92m:34081 

Xu, Tong Ren see Zhao, Yu Qin; et al. 

Yumoto, Junji see DeLong, K. W.; et al., 92h:34075 

Zecca, Pietro see Macki, Jack W.; et al., 92i:34046 

Zhang, You Qi see Chen, Shu Hui; et al., 92b:34048 

Zhao, Yu Qin (with Xu, Tong Ren) A computer-aided analysis of the analytic solution to 
the Mathieu equation. (Chinese. English summary) 

Zheng, Zhi Ming Qualitative analysis of van der Pol type equation with periodic forcing 
term. 924:34079 

Zuev, N.G. (with Titarenko, A. M.; Cherednikov, P. I.) On the boundaries of zones of 
parametric instability of a nonlinear dissipative oscillatory system. (Russian) 


Items with secondary classifications in 34C15 

Andrianov, I. V. see Obraztsov, I. F.; et al., 92i:70042 

Awrejcewicz, J. Routes to chaos in complex physical systems. (Russian and Polish 
summaries) 92i:58113 

— (with Someya, Tsuneo) Periodic, quasi-periodic and chaotic orbits and their bifurcations 
in a system of coupled oscillators. 92k:70024 

— (with Reinhardt, W.-D.) Observation of chaos in the nonautonomous system with two 
degrees of freedom. 92g:70020 

Bazhenov, M. V. (with Goryachenko, V. D.; Privalov, A. V.) Investigation of nonlinear 
models of the dynamics of reactors on the phase plane. (Russian) 92m:82154 

Bezruchko, B. P. (with Gulyaev, Yu. V; Pudovochkin, O. B.; Seleznev, E. P.) Multistability 
in oscillation systems with period doubling and unidirectional coupling. (Russian) 
92):58067 

Borisenko, O. V. Nonlinear oscillations with small random perturbations. (Russian) 
92b:34064 

— Random oscillations of a second-order nonautonomous system in the nonresonance case. 
(Russian) 92g:34076 

Boyko, E.R. see Cadwell, L. H., 92i:70041 

Bravo Yuste, S. On Duffing oscillators with slowly varying parameters. 92k:70026 

— Comments on the method of harmonic balance in which Jacobi elliptic functions are used. 
92a:70020 

Brindley, J. (with Kapitaniak, Tomasz; El Naschie, M.S.) Analytical conditions for strange 
chaotic and nonchaotic attractors of the quasiperiodically forced van der Pol equation. 
92h:58171 

Broer, H. W. (with Vegter, Gert) Bifurcational aspects of parametric resonance. 
92m:58096 

Cadwell, L. H. (with Boyko, E.R.) Linearization of the simple pendulum. 92i:70041 

Caldas, I. L. see Viana, R. L.; et al., 92h:34066 

Candy, Jeff (with Rozmus, W.) Rational resonances in a wave driven linear oscillator. 
92i:70040 

Capecchi, Danilo Periodic response and stability of hysteretic oscillators. 92b:70030 

Chen, Ji Peng Almost periodic solutions of higher-dimensional Liénard systems. 92h:34088 

Chen, Shu Hui see Zhang, You Qi; et al., 92d:70024 

Cheng, Fu De A group of chaotic motion of soft spring quadratic Duffing equations. 
(Chinese. English summary) 92m:70040 

— see also Shen, Jia Qi; et al., 92h:58135 


ORDINARY DIFFERENTIAL EQUATIONS 


Chicone, Carmen On bifurcation of limit cycles from centers. 92f:58142 

Choi, Han S. (with Lou, Jack Y. K.) Nonlinear behavior and chaotic motions of an SDOF 
system with piecewise-nonlinear stiffness. 92j:70025 

Chua, Leon O. see Komuro, Motomasa; et al., 92j:58073 

Collins, William D. Oscillations of miniature synchronous motors. 

Cuerno, R. (with Rafiada, Antonio F.; Ruiz-Lorenzo, J. J.) Deterministic chaos in the 
elastic pendulum: a simple laboratory for nonlinear dynamics. 92j:70028 

Dai, Shi Qiang Generalization of the method of full approximation and its applications. 
(Chinese. English summary) 92g:34068 

Defontaines, Anne-Dominique (with Pomeau, Yves; Rostand, Bruno) Chain of coupled 
bistable oscillators: a model. 92¢:58075 

Dement'eva, A. M. (with Krasnosel’skii, A. M.; Yumagulov, M. G.) The operator of a 
periodic problem for a first-order equation. (Russian. Tajiki summary) 92b:34102 

Eichwald, C. see Kaiser, Friedemann, 92f:34031 

EI Naschie, M.S. see Brindley, J.; et al., 92h:58171 

Epstein, Irving R. see Kepler, Thomas B.; et al., 92k:58253 

Ermentrout, George Bard (with Kopell, N.) Multiple pulse interactions and averaging in 
systems of coupled neural oscillators. 92c:92005 

Feigin, M. I. A bifurcation approach to the control of oscillations. (Russian) 92c:70029 

Fidlin, A. Ya. Averaging in systems with a variable number of degrees of freedom. (Russian) 
92i:34058 

Filippov, M. G. On the reducibility of systems of linear differential equations with almost 
periodic coefficients. (Russian) 92j:34079 

Filonenko, L. A. see Zevin, Aleksandr Aronovich, 92a:70016 

Forbes, Lawrence K. Forced transverse oscillations in a simple spring-mass system. 
92g:70018 

Fournier-Prunaret, Daniele (with Mira, Christian) Harmonic synchronization area of a 
nonautonomous system with quadratic nonlinearities. (see 92d:58003) 

Firkotter, Monica (with Rodrigues, Hildebrando Munhoz) On harmonic and subharmonic 
solutions of nonlinear second order equations: symmetry and bifurcation. 92g:34049 

Goryachenko, V. D. see Bazhenov, M. V.; et al., 92m:82154 

Grabowski, Piotr Comments on: “Generalized Lyapunov functions for Liénard-type 
nonlinear systems” [Internat. J. Control 48 (1988), no. 2, 805-812; MR 89j:34017] by H. 
Miyagi, T. Ohshiro and K. Yamashita. 92c:34010 

Gulyaev, Yu. V see Bezruchko, B. P.; et al., 92j:58067 

Guo, You Zhong (with Liu, Zeng Rong; Jiang, Xia Mei; Han, Zhi Bin) Higher-order 
Melnikov method. (Chinese. English summary) 924:34083 

Han, Zhi Bin see Guo, You Zhong; et al., 92d:34083 

Hanggi, Peter see Jung, Peter, 92a:70021 

He, Xiang Jian Hopf bifurcation at infinity with discontinuous nonlinearities. 92i:34050 

Heinz, G. see Schneider, Klaus R., 92d:34085 

Hotta, A. see Komuro, Motomassa; et al., 92j:58073 

Huang, Ke Lei see To, C. W.S.; et al., 924:34087 

Huang, Li Hong (with Yu, Jian She; Qian, Xiang Zheng) Limit cycles of a class of nonlinear 
differential systems. (Chinese. English summary) 924:34061 

Huang, Xian Kai 27-periodic solutions to n-dimensional Liénard equations at resonance. 
(Chinese. English summary) 92j:34086 

Huseyin, Koncay (with Lin, Rui) An intrinsic multiple-scale harmonic balance method for 
nonlinear vibration and bifurcation problems. 92k:70027 

— (with Wang, S.) An extension of the intrinsic harmonic balancing technique to the 
analysis of forced vibrations. 92f:70019 

— (with Lin, Rui) A perturbation method for the analysis of vibrations and bifurcations 
associated with nonautonomous systems. I. Nonresonance case. 92m:70041 

— see also Lin, Rui, 92m:70042 

Ignat'ev, A.O. On the instability of the equilibrium position of a linear oscillator with 
variable parameters. (Russian) 92j:70022 

Inagaki, Yoshio see Shirao, Yoshiaki; et al., 92e:70033 

(Jaumotte, André L.) see Preumont, André, 92i:70047 

Jiang, Xia Mei see Guo, You Zhong; et al., 92d:34083 

Jiang, Ziping (with McCall, Martin) A theoretical study of coupled laser systems. 
92m:78021 

Jiménez Olivo, Pedro (with Sanchis Arnal, Ricardo; Pea Miralles, Juan; Verdi Martin, 
Gumersindo; Muiioz-Cobo Gonzalez, José Luis) Transition to chaos of a nonlinear 
oscillator using Mel‘nikov analysis. (Spanish. English summary) (see 92b:00044) 

Jung, Peter (with Hanggi, Peter) Invariant measure of a driven nonlinear oscillator with 
external noise. 92a:70021 

Just, Wolfram Dynamics of the stochastic Duffing oscillator in Gaussian approximation. 
92£:58120 

Kagan, Michael L. see Kepler, Thomas B.; et al., 92k:58253 

Kaiser, Friedemann (with Eichwald, C.) Bifurcation structure of a driven, multi-limit-cycle 
van der Pol oscillator. I. The superharmonic resonance structure. 92f:34031 

Kamen’, V. B. (with Spivakovskii, V. B.) On an optimal control problem. (see 92m:49004) 

Kaper, Tasso J. (with Wiggins, Stephen) Lobe area in adiabatic Hamiltonian systems. 
92j:58078 

Kapitaniak, Tomasz The loss of chaos in a quasiperiodically-forced nonlinear oscillator. 
92h:70021 

— (with Steeb, Willi-Hans) Transition to hyperchaos in coupled generalized van der Pol 
equations. 92e:58135 

— see also Brindley, J.; et al., 92h:58171 

Kato, Junji A simple boundedness theorem for a Liénard equation with damping. 
92d:34069 

Kawabata, Hiroaki see Shirao, Yoshiaki; et al., 92e:70033 

Kepler, Thomas B. (with Kagan, Michael L.; Epstein, Irving R.) Geometric phases in 
dissipative systems. 92k:58253 

Ketema, Yohannes An oscillator with cubic and piecewise-linear springs. 92f:70021 

Khazin, L.G. (with Shnol’, E. E.) *& Stability of critical equilibrium states. 92d:34103 

Kim, Y. B. (with Noah, S. T.) Stability and bifurcation analysis of oscillators with 
piecewise-linear characteristics: a general approach. 92e:70031 

Kolesov, A. Yu. (with Mishchenko, E. F.) On the mechanism of the destruction of an 
invariant torus of the van der Pol relaxation system with harmonic action on the slow 





491 1992 


variable. (Russian) 92m:34102 

Komuro, Motomasa (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) 
Global bifurcation analysis of the double scroll circuit. 92j:58073 

— (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) Errata: “Global 
bifurcation analysis of the double scroll circuit” [Internat. J. Bifur. Chaos Appl. Sci. 
Engrg. 1 (1991), no. 1, 139-182; MR 92j:58073]. 

Kopell, N. see Ermentrout, George Bard, 92c:92005 

Krasnosel'skii, A.M. see Dement'eva, A. M.; et al., 92b:34102 

Krasnosel'skii, M. A. (with Mawhin, Jean L.; Pokrovskii, A. V.) New theorems on forced 
periodic oscillations and bounded solutions. (Russian) 92m:34091 

Krechetov, G.S. On the stability of the Mathieu equation with damping. (Russian) 
92i:34060 

Kurz, T. see Parlitz, U.; et al., 92c:58081 and Scheffczyk, C.; et al., 92f:58123 

Laederich, Stephane Periodic solutions of nonlinear differential-difference equations. 
92e:34098 

Lakshmanan, M. see Parthasarathy, S., 92c:70025 

Lau, S. L. (with Yuen, S. W.) The Hopf bifurcation and limit cycle by the incremental 
harmonic balance method. 92j:34082 

— see also Zhang, You Qi; et al., 92d:70024 

Lauterborn, Werner see Parlitz, U.; et al., 92c:58081 and Scheffczyk, C.; et al., 92f:58123 

Lazer, Alan C. (with McKenna, P. J.) Large-amplitude periodic oscillations in suspension 
bridges: some new connections with nonlinear analysis. 92g:73059 

Levi, Mark L. KAM theory for particles in periodic potentials. 92a:58118 

Lin, Rui (with Huseyin, Koncay) A perturbation method for the analysis of vibrations and 
bifurcations associated with nonautonomous systems. II. Resonance case. 92m:70042 

— see also To, C. W.S.; et al., 92d:34087; Huseyin, Koncay, 92k:70027 and 92m:70041 

Liu, Bin Existence of subharmonic solutions of any order for a nonconservative system. 
92i:34055 

Liu, Zeng Rong see Guo, You Zhong; et al., 92d:34083 

Lou, Jack Y. K. see Choi, Han S., 92j:70025 

Lozi, René (with Ushiki, Shigehiro) Confinors and bounded-time patterns in Chua’s circuit 
and the double scroll family. 92a:58090 

La, Bang Zheng (with Zhou, Ling Yun) Chaos and bifurcation of periodic solution on the 
problem of Euler dynamical bending. (see 92i:00013) 

La, Qi Shao see To, C. W.S.; et al., 92d:34087 

Lundqvist, S.O. Chaos, order, patterns, fractals—an overview. (see 92i:58001) 

MacKay, R.S. Transition of the phase-resetting map for kicked oscillators. 92g:58107 

Manevich, L.1. (with Pilipchuk, V. N.) Localization of oscillations in linear and nonlinear 
chains. (Russian. English summary) 92f:70018 

Martinez-Amores, Pedro (with Mawhin, Jean L.; Ortega, Rafael; Willem, M.) Generic 
results for the existence of nondegenerate periodic solutions of some differential systems 
with periodic nonlinearities. 92h:34055 

Matsumoto, Takashi see Komuro, Motomasa; et al., 92j:58073 

Matviichuk, K.S. Technical stability of nonlinear dynamical systems with slow and fast 
motions. (Russian) 92c:34057 

Mawhin, Jean L. see Martinez-Amores, Pedro; et al., 92h:34055 and Krasnosel’skii, M. A.; et 
al., 92m:34091 

McCall, Martin see Jiang, Ziping, 92m:78021 

McKenna, P. J. see Lazer, Alan C., 92g:73059 

McRobie, F. A. (with Thompson, J. M. T.) Lobe dynamics and the escape from a potential 
well. 92j:58065 

Mira, Christian see Fournier-Prunaret, Daniele, (92d:58003) 

Mishchenko, E. F. see Kolesov, A. Yu., 92m:34102 

(Miyagi, H.) see Grabowski, Piotr, 92c:34010 

Muiioz-Cobo Gonzalez, José Luis see Jiménez Olivo, Pedro; et al., (92b:00044) 

Murdock, James A. * Perturbations. 92i:34067 

Nagahara, Toshikuni see Shirao, Yoshiaki; et al., 92e:70033 

Nerubailo, B. V. see Obraztsov, I. F.; et al., 92i:70042 

Noah, S.T. see Kim, Y. B., 92e:70031 

Obraztsov, I. F. (with Andrianov, I. V.; Nerubailo, B. V.) Continual approximation for 
high-frequency oscillations of a chain, and composite equations. (Russian) 92i:70042 

(Ohshiro, T.) see Grabowski, Piotr, 92c:34010 

Olson, Collin L. (with Olsson, M.G.) Dynamical symmetry breaking and chaos in Duffing’s 
equation. 92j:58071 

Olsson, M.G. see Olson, Collin L., 92j:58071 

Ortega, Rafael see Martinez-Amores, Pedro; et al., 92h:34055 

Othmer, Hans G. see Watanabe, Masaji, 92j:34094 

Parlitz, U. (with Scheffczyk, C.; Kurz, T.; Lauterborn, Werner) Two-dimensional maps 
modelling periodically driven strictly dissipative oscillators. 92c:58081 

— see also Scheffczyk, C.; et al., 92f:58123 

Parthasarathy, S. (with Lakshmanan, M.) On the analytic structure of the driven 
pendulum. 92c:70025 

Peiia Miralles, Juan see Jiménez Olivo, Pedro; et al., (92b:00044) 

Pilipchuk, V. N. see Manevich, L. I., 92f:70018 

Pliss, V. A. Relaxation oscillations in systems with switching. (Russian) 92j:58079 

— The existence of a hyperbolic integral set of a special periodic system. (Russian) 
92£:58128 

Pokrovskii, A. V. see Krasnosel'skii, M. A.; et al., 92m:34091 

Pomeau, Yves see Defontaines, Anne-Dominique; et al., 92c:58075 

Preumont, André * Vibrations aléatoires et analyse spectrale. (French) [Random vibrations 
and spectral analysis] 92i:70047 

Privalov, A. V. see Bazhenov, M. V.; et al., 92m:82154 

Pudovochkin, O. B. see Bezruchko, B. P.; et al., 92j:58067 

Qian, Xiang Zheng see Huang, Li Hong; et al., 92d:34061 and Yu, Jian She; et al., 92d:34063 

Qiao, Zong Chun On the asymptotic solutions for a class of second order differential 
equations with slowly varying coefficients. (Chinese. English summary) 92m:34125 

Raiiada, Antonio F. see Cuerno, R.; et al., 92j:70028 

Red-Horse, J. R. (with Spanos, Pol-T. D.) A generalization to stochastic averaging in 
random vibration. 92j:70029 

Reinhardt, W.-D. see Awrejcewicz, J., 92g:70020 


34C Qualitative theory 


Rodrigues, Hildebrando Munhoz see Firkotter, Monica, 92g:34049 

Ross, John see Vance, William N., 92h:58149 

Rostand, Bruno see Defontaines, Anne-Dominique; et al., 92c:58075 

Rozmus, W. see Candy, Jeff, 92i:70040 

Ruiz-Lorenzo, J. J. see Cuerno, R.; et al., 92j:70028 

Sanchis Arnal, Ricardo see Jiménez Olivo, Pedro; et al., (92b:00044) 

Sanmartin, Juan R. Coherent excitation of nonlinear oscillators. 92f:70020 

Sazonov, V. V. (with Sidorenko, V. V.) Perturbed motions of a rigid body that are close to 
regular Lagrange precessions. (Russian) 92a:70003 

Scheffczyk, C. (with Parlitz, U.; Kurz, T.; Lauterborn, Werner) Comparison of bifurcation 
sets of driven strictly dissipative oscillators. 92f:58123 

— see also Parlitz, U.; et al., 92c:58081 

Schneider, Klaus R. (with Heinz, G.) Branch inclusion in generic Hopf bifurcation: the case 
of scaled van der Pol’s equation. 924:34085 

Seleznev, E. P. see Bezruchko, B. P.; et al., 92j:58067 

Shaw, Jinsiang (with Shaw, Steven W.) Nonlinear resonance of an unbalanced rotating 
shaft with internal damping. 92b:73031 

— see also Shaw, Steven W., (92g:73003) 

Shaw, Steven W. (with Shaw, Jinsiang) Nonlinear dynamics of a rotating shaft. (see 
92g:73003) 

— see also Shaw, Jinsiang, 92b:73031 

Shen, Jia Qi (with Cheng, Fu De) Chaotic behavior of a class of generalized Duffing 
equations of Holmes type. (Chinese. English summary) 92h:58135 

Shevchenko, K. N. Stability of oscillations of a mathematical pendulum on a moving frame 
at upper and lower points of the trajectory. (Russian) 

Shi, Nan Ting Periodic solutions to the equation * + f(x, x)x + g(x) = p(t). (Chinese) 

Shirao, Yoshiaki (with Kawabata, Hiroaki; Nagahara, Toshikuni; Inagaki, Yoshio) A study 
of period-doubling bifurcations of 4/7-harmonics in the nonautonomous piecewise linear 

y with unsy ical restoring force. 92e:70033 

Shnol’, E. E. see Khazin, L. G., 924:34103 

Sidorenko, V. V. see Sazonov, V. V., 92a:70003 

Skorokhod, I. V. On the limit behavior of an oscillatory system in the presence of random 
perturbations of parameters of this system. II. (Russian. Ukrainian summary) 92b:34066 

Someya, Tsuneo see Awrejcewicz, J., 92k:70024 

Spanos, Pol-T. D. see Red-Horse, J. R., 92j:70029 

Spivakovskii, V.B. see Kamen’, V. B., (92m:49004) 

Stanzhitskii, A. N. Invariant tori of systems with random perturbation. (Russian) 
92f:34053 

Steeb, Willi-Hans see Kapitaniak, Tomasz, 92e:58135 

Steindl, Alois see Troger, Hans, 92k:34060 

Stone, Emily F. Frequency entrainment of a phase coherent attractor. 92k:58186 

S litiska-S icka, W. The approximate criteria for chaos in multi-well potential 
vibrating systems. 92b:70032 

Tasso, H. see Viana, R. L.; et al., 92h:34066 

Thompson, J. M.T. see McRobie, F. A., 92j:58065 

To, C. W.S. (with Lin, Rui; Huang, Ke Lei; Lu, Qi Shao) Primary bifurcations in two non- 
linearly coupled oscillators. 92d:34087 

Tokunaga, R. see Komuro, Motomasa; et al., 92j:58073 

Troger, Hans (with Steindl, Alois) * Nonlinear stability and bifurcation theory. 92k:34060 

Unal, Aynur Control of chaos in nonlinear dynamical systems. (see 92h:93007) 

Ushiki, Shigehiro see Lozi, René, 92a:58090 

Vance, William N. (with Ross, John) Bifurcation structures of periodically forced 
oscillators. 92h:58149 

Vegter, Gert see Broer, H. W., 92m:58096 

Verdi Martin, Gumersindo see Jiménez Olivo, Pedro; et al., (92b:00044) 

Viana, R. L. (with Caldas, I. L.; Tasso, H.) Limit cycle behaviour in some nonlinear 
parametric impulsive excitation problems. 92h:34066 

Vincent, Thomas L. (with Yu, Jian Zu) Control of a chaotic system. 92k:93075 

Wang, S. see Huseyin, Koncay, 92f:70019 

Watanabe, Masaji (with Othmer, Hans G.) Persistence of invariant tori in systems of 
coupled oscillators. II. Degenerate problems. 92j:34094 

Wiggins, Stephen see Kaper, Tasso J., 92j:58078 

Willem, M. see Martinez-Amores, Pedro; et al., 92h:34055 

Yagasaki, K. Chaos in a weakly nonlinear oscillator with parametric and external reso- 
nances. 92a:70019 

(Yamashita, Katsumi) see Grabowski, Piotr, 92c:34010 

Yu, Jian She (with Qian, Xiang Zheng) Existence and uniqueness theorems for limit cycles 
of the Liénard equation. (Chinese. English summary) 92d:34063 

— see also Huang, Li Hong; et al., 92d:34061 

Yu, Jian Zu see Vincent, Thomas L., 92k:93075 

Yuen, S. W. see Lau, S. L., 92j:34082 

Yumagulov, M. G. see Dement'eva, A. M.; et al., 92b:34102 

Zevin, Aleksandr Aronovich (with Filonenko, L. A.) Forced oscillations of a nonlinear 
system with a repulsive positional force. (Russian) 92a:70016 

Zhang, Meng Qiu Harmonic oscillations of time-varying linear systems. (Chinese. English 
summary) 

Zhang, You Qi (with Chen, Shu Hui; Lau, S. L.) A modified Lindstedt-Poincaré method for 
certain strongly nonlinear oscillators. 92d:70024 

Zheng, Qinghua Hopf bifurcation in differential algebraic equations and applications to 
circuit simulation. 92e:34052 

Zheng, Zhi Ming Time dependence of the solutions of van der Pol type equation with 
periodic forcing term. 92f:34036 

Zheng, Zuo Huan Periodic solutions of the Josephson equation. 924:34091 

Zhou, Ling Yun see Lu, Bang Zheng; et al., (92i:00013) 

Zubov, V.1. Steady-state oscillations and waves. (Russian) 92d:34096 

— High-frequency excitation of oscillations in a low-frequency domain. (Russian) 
92h:70020 














34C20 


34C20 Transformation and reduction of equations and systems, 
normal forms 


Basov, V. V. (with Ruiz Chaveco, Antonio Ivan; Velazquez, A.; Bermudez, Juana Emilia) 
Generalized quasinormal form for systems of ordinary differential equations. (Spanish. 
English summary) 92f:34028 

Bermudez, Juana Emilia see Basov, V. V.; et al., 92f:34028 

Bryuno, A. D. A system that is similar to a normal form. (Russian) 92¢:34049 

Chow, Shui-Nee (with Lu, Kening; Shen, Yun Qiu) Normal form and linearization for 
quasiperiodic systems. 92g:34048 

Corduneanu, Adrian The equation y” + Q(x)y = f(x) with “small” Q and f. (Romanian 
summary) 92a:34036 

Filippov, M. G. On the reducibility of systems of linear differential equations with almost 
periodic coefficients. (Russian) 92j:34079 

— On the reducibility of systems of differential equations with almost periodic periurbation 
that are given on a torus. (Russian) 92d:34080 

Gusyatnikova, V.N. (with Yumaguzhin, V. A.) Point transformations and linearizability of 
second-order ordinary differential equations. (Russian) 92c:34045 

Jezequel, L. (with Lamarque, C.-H.) Analysis of nonlinear structural vibrations by normal 
transform theory. 924:34081 

Lamarque, C.-H. see Jezequel, L., 92d:34081 

Lin, Zhen Sheng Theory of linear systems. 92a:34037 

La, Kening see Chow, Shui-Nee; et al., 92g:34048 

Nezbailo, T.G. Reduction of ordinary differential equations to a form with constant 
coefficients. (Russian) 92d:34082 

Ruiz Chaveco, Antonio Ivan On the application of the theory of normal forms to the study of 
the stability of motion in some critical cases. (Spanish. English summary) 92f:34029 

— Quasinormal form for a system of equations with m pairs of pure imaginary eigenvalues. 
(Spanish. English summary) 92f:34030 

— see also Basov, V. V.; et al., 92:34028 

Sanders, Jan A. On the computation of normal forms. 92k:34045 

Shen, Yun Qiu see Chow, Shui-Nee; et al., 92g:34048 

Velazquez, A. see Basov, V. V.; et al., 92£:34028 

Walcher, Sebastian On differential equations in normal form. 92m:34086 

Yumaguzhin, V. A. see Gusyatnikova, V. N., 92¢:34045 


Items with secondary classifications in 34C20 

Andrade, R. F.S. see Miranda Filho, R. C., 92h:58178 

Baider, Alberto (with Sanders, Jan A.) Unique normal forms: the nilpotent Hamiltonian 
case. 92g:58113 

Baris, Ya. S. (with Lykova, O. B.) Integral manifolds and the reduction principle in stability 
theory. III. (Russian. Ukrainian summary) 92m:34106 

Beloglazov, V. A. see Voskresenskii, E. V., 92m:34109 

Bibikov, Yu. N. Construction of invariant tori of systems of differential equations with a 
small parameter. (Russian) 92i:34044 

— * MuorouacToruble HesHHehHbIe KoeOaHua H HX OucdypKauuH. (Russian) [Multifrequency 
nonlinear oscillations and their bifurcations] 92i:34045 

Bogaevskii, V. N. (with Povzner, A.) * Algebraic methods in nonlinear perturbation 
theory. 92j:34002 

Bryuno, A. D. Local method of nonlinear analysis. 92k:58242 

— On a finitely smooth linearization of a system of differential equations near a hyperbolic 
singular point. (Russian) 92j:58092 

Chalkley, Roger The differential equation Q = 0 in which Q is a quadratic form in y”, y’, y 
having meromorphic coefficients. 92m:34006 

Chekanov, N. A. (with Gonchar, V. Yu.; Markovskii, B. L.; Vinitskii, S. I.) % Normal form 
and approximate integrals of two-dimensional Hamiltonian systems. 92k:58244 

— see also Gonchar, V. Yu.; et al., 92c:70002 

Dochev, Docho T. (with Zhukovskii, V. I.) A mean-square and arbitrated solution to a 
multicriterial problem with uncertainty. (Bulgarian. English and Russian summaries) 

Duarte, L.G.S. (with Moreira, I. C.; Euler, N.; Steeb, Willi-Hans) Invertible point 
transformations, Lie symmetries and the Painlevé test for the equation X + f\(t)x + 
fo(t)x + fa(t)x" =0. 92d:58187 

Eliasson, L.H. Hamiltonian systems with linear normal form near an invariant torus. 
921:58156 

Euler, N. see Duarte, L. G. S.; et al., 92d:58187 

Freire Macias, Emilio see Gamero, Estanislao; et al., 92d:58186 

Gamero, Estanislao (with Freire Macias, Emilio; Ponce, Enrique) Normal forms for planar 
systems with nilpotent linear part. 92d:58186 

Gol'tser, Ya. M. Some bifurcational problems of the theory of stability. 92j:34080 

Gonchar, V. Yu. (with Chekanov, N. A.; Markovskii, B. L.; Rostovtsev, V. A.; Vinitskii, 
S. I.) *& The program of analytical calculation of the normal Birkhoff-Gustavson form. 
92c:70002 

— see also Chekanov, N. A.; et al., 92k:58244 

Hubbard, Mont see Krener, Arthur J.; et al., 92k:93065 

Ilyashenko, Yu. S. (with Yakovenko, S. Yu.) Finitely smooth normal forms of local 
families of diffeomorphisms and vector fields. (Russian) 92i:58165 

Invernizzi, Sergio Remarks on Hopf bifurcation formulae. (Italian summary) 92k:34046 

Jacobs, S. J. Existence of a slow manifold in a model system of equations. 92m:34100 

Karahan, Sinan see Krener, Arthur J.; et al., 92k:93065 

Kashchenko, S. A. Normalization in a neighborhood of a cycle of systems of parabolic 
equations with small diffusion. (Russian. Ukrainian summary) 92j:35096 

Krause, Jorge (with Michel, Louis) Classification of the symmetries of ordinary differential 
equations. 92m:58119 

Krein, S.G. (with Tovbis, A.I.) Linear singular differential equations in finite-dimensional 
and Banach spaces. (Russian) 92e:34003 

Krener, Arthur J. (with Hubbard, Mont; Karajan, Sinan; Phelps, Andrew R.; Maag, 
Benoit) Poincaré’s linearization method applied to the design of nonlinear compensators. 
92k:93065 

Kunitsyn, A. L. (with Tashimov, L. T.) * Hexoroppie 3ama4M ycTOWYMBOCTH HEMHeHHbIX 
Pe3OHaHCHbIX cucTeM. (Russian) [Some problems on the stability of nonlinear resonance 


ORDINARY DIFFERENTIAL EQUATIONS 


systems] 92b:34057 

Leach, P. G. L. Generalized Ermakov systems. 92h:58177 

Levelt, A. H. M. Stabilizing differential operators. A method for computing invariants at 
irregular singularities. 92h:34013 

Li, Ji Bin see Liu, Yi Rong; et al., 92j:34009 

Liu, Yi Rong Formulas of values of singular point and the integrability conditions for a class 
of cubic system, M(3) > 7. 92e:34004 

— (with Li, Ji Bin) Theory of values of singular point in complex autonomous differential 
systems. 92j:34009 

Loginov, B. V. A general approach to the study of the bifurcation of the birth of a cycle 
under conditions of group symmetry. (Russian. Uzbek summary) 92c:58094 

Luchik, V. E. see Samoilenko, A. M.; et al., 92c:34012 and Teplinskii, Yu. V., 924:34123 

Lykova, O. B. see Baris, Ya. S., 92m:34106 

Maag, Benoit see Krener, Arthur J.; et al., 92k:93065 

Markovskii, B. L. see Gonchar, V. Yu.; et al., 92c:70002 and Chekanov, N. A.; et al., 
92k:58244 

Medved, Milan Normal forms and bifurcations of some equivariant vector fields. (Russian 
summary) 92¢:58133 

Meyer, Kenneth R. Lie transform tutorial. II. 92¢:58134 

Michel, Louis see Krause, Jorge, 92m:58119 

Miranda Filho, R. C. (with Andrade, R. F. S.) Normal form analysis of integrable 
Hamiltonian systems. 92h:58178 

Moreira, I.C. see Duarte, L. G. S.; et al., 92d:58187 

Morozov, A. D. On the qualitative behavior of solutions in a neighborhood of the nonlinear 
center of two-dimensional time-periodic systems that are close to Hamiltonian systems. 
(Russian) 92m:34083 

Phelps, Andrew R. see Krener, Arthur J.; et al., 92k:93065 

Ponce, Enrique see Gamero, Estanislao; et al., 92d:58186 

Povzner, A. see Bogaevskii, V. N., 92j:34002 

Rostovtsev, V. A. see Gonchar, V. Yu.; et al., 92c:70002 

Sachdev, P. L. * Nonlinear ordinary differential equations and their applications. 
92i:34010 

Sadovskii, A. P. Conditions for the problem of the center and focus to arise for an A3- 
system. (Russian) 92a:34026 

Samoilenko, A. M. (with Teplinskii, Yu. V.; Luchik, V. E.) Reducibility of differential 
equations with impulses in the space of bounded numerical sequences. (Russian. English 
summary) 92c:34012 

— (with Sukhomlin, A. A.) A measure of difference reducible systems. (Russian. Ukrainian 
summary) 92b:39008 

Sanders, Jan A. see Baider, Alberto, 92g:58113 

Sergeichuk, V. V. A remark on the classification of holomorphic matrices up to similarity. 
(Russian) 92k:58035 

Sosnitskii, S. P. On the normal form of Hamiltonian systems near an equilibrium position. 
(Russian) 92b:58212 

Spigler, Renato (with Vianello, Marco) Global existence and uniqueness for the Kummer 
transformation problem subject to non-Cauchy data. 92i:34018 

Steeb, Willi-Hans see Duarte, L. G. S.; et al., 92d:58187 

Stolovitch, Laurent Sur les forms normales de systémes nilpotents. (English summary) [On 
normal forms of nilpotent systems] 92m:58120 

Sukhomlin, A. A. see Samoilenko, A. M., 92b:39008 

Tashimov, L. T. see Kunitsyn, A. L., 92b:34057 

Teplinskii, Yu. V. (with Luchik, V. E.) Reducibility of differential equations with impulses 
in the space of bounded numerical sequences. (Russian. Ukrainian summary) 924:34123 

— see also Samoilenko, A. M.; et al., 92c:34012 

Tkachenko, V.I. On the reducibility of a nondichotomous linear quasiperiodic system. 
(Russian) 92k:34009 

Tovbis, A. I. Norma! forms of singular differential operators and the corresponding normal 
forms of holomorphic matrix functions. (Russian) (see 92a:00033) 

— see also Krein, S. G., 92e:34003 

Tseryanov, M. P. Asymptotic solutions for some classes of systems of differential equations 
with fast and slow variables. I. (Bulgarian. English and Russian summaries) 

— On asymptotic solutions of some classes of systems of differential equations with fast and 
slow variables. II. (Bulgarian. English and Russian summaries) 

Veretennikov, V.G. An algorithm for constructing periodic solutions of Lyapunov systems. 
(Russian. English summary) 92¢:34051 

Vianello, Marco see Spigler, Renato, 92i1:34018 

Vinitskii, S. I. see Gonchar, V. Yu.; et al., 92c:70002 and Chekanov, N. A.; et al., 92k:58244 

Voskresenskii, E. V. (with Beloglazov, V. A.) On the Cesari problem on the existence of 
asymptotic equilibrium. (Russian) 92m:34109 

Yakovenko, S. Yu. see Il’'yashenko, Yu. S., 92i:58165 

Yang, Xin An (with Zhang, Jian Feng) Algebraic classification of polynomial systems in the 
plane. 92a:58124 

Yatskin, N. I. Almost reducibility of linear differential equations on manifolds. (Russian) 
92e:58103 

Zhang, Jian Feng see Yang, Xin An; et al., 92a:58124 

Zhao, Jia Xiang On partial asymptotic stability and limiting equations. (Chinese summary) 
92d:34107 

Zhukovskii, V. 1. see Dochev, Docho T. 


34C23 Bifurcation [See mainly 58F14] 


Carbonell, Marc (with Llibre, Jaume) Hopf bifurcation, averaging methods and Liapunov 
quantities for polynomial systems with homogeneous nonlinearities. 92m:34087 

Eichwald, C. see Kaiser, Friedemann, 92f:34031 

Ekimov, A. V. On the bifurcation of birth of a limit cycle from a compound complex focus. 
(Russian. English summary) 92h:34078 

Farkas, Henrik (with Gy6ékér, Solt; Wittmann, Maria) Investigation of global equilibrium 
bifurcations by the method of parametric representation. (Hungarian. English summary) 
92a:34038 

Fedorov, E. L. see Medvedev, Vladislav Sergeevich, 92f:34032 





493 1992 


Freire Macias, Emilio see Rodriguez-Luis, Alejandro J.; et al., 92d:34084; Gamero, 
Estanislao; et al., (92m:00052) and Rodriguez-Luis, Alejandro J.; et al., (92m:00052) 

Galeotti, Marcello (with Gori, Franco) Bifurcations and limit cycles in a family of planar 
polynomial dynamical systems. 92¢:34050 

Gamero, Estanislao (with Rodriguez-Luis, Alejandro J.; Freire Macias, Emilio) Degenerate 
Hopf bifurcations in an electronic oscillator. (Spanish. English summary) (see 92m:00052) 

Gol'tser, Ya. M. Some bifurcational problems of the theory of stability. 92j:34080 

Gori, Franco see Galeotti, Marcello, 92e:34050 

Guo, You Zhong (with Liu, Zeng Rong; Jiang, Xia Mei; Han, Zhi Bin) Higher-order 
Melnikov method. (Chinese. English summary) 924:34083 

Gydkér, Solt see Farkas, Henrik; et al., 92a:34038 

Han, Zhi Bin see Guo, You Zhong; et al., 92d:34083 

He, Xiang Jian Hopf bifurcation at infinity with discontinuous nonlinearities. 92i:34050 

Heinz, G. see Schneider, Klaus R., 92d:34085 

Huang, Ke Lei see To, C. W. S.; et al., 924:34087 

Invernizzi, Sergio Remarks on Hopf bifurcation formulae. (Italian summary) 92k:34046 

Jiang, Xia Mei see Guo, You Zhong; et al., 92d:34083 

Kaiser, Friedemann (with Eichwald, C.) Bifurcation structure of a driven, multi-limit-cycle 
van der Pol oscillator. I. The superharmonic resonance structure. 92f:34031 

Karandzhulov, L. 1. Branching of periodic solutions of quasilinear autonomous systems in 
the resonance case. (Russian. Ukrainian summary) 92j:34081 

Lakshmanan, M. see Rajasekar, S. 

Lansbury, A. N. see Stewart, H. B.; et al., 92h:34079 

Lau, S. L. (with Yuen, S. W.) The Hopf bifurcation and limit cycle by the incremental 
harmonic balance method. 92j:34082 

Li, Ji Bin (with Wan, Shi Dong) Global bifurcations in a disturbed Hamiltonian vector 
field approaching a 3:1 resonant Poincaré map. I. 92e:34051 

Lin, Rui see To, C. W. S.; et al., 92d:34087 

Liu, Zeng Rong see Guo, You Zhong; et al., 92d:34083 

Llibre, Jaume see Carbonell, Marc, 92m:34087 

Lu, Qi Shao see To, C. W.S.; et al., 92d:34087 

Medvedev, Vladislav Sergeevich (with Fedorov, E. L.) A sufficient condition for the 
existence of bifurcation manifolds of saddle separatrices. (Russian) 92f:34032 

Perko, L. M. Bifurcation of limit cycles: geometric theory. 92¢:34046 

Ponce, Enrique see Rodriguez-Luis, Alejandro J.; et al., 92d:34084 and (92m:00052) 

Rajasekar, S. (with Lakshmanan, M.) Controlling of chaos in Bonhoeffer-van der Pol 
oscillator. 

Rodriguez-Luis, Alejandro J. (with Freire Macias, Emilio; Ponce, Enrique) On a codimen- 
sion 3 bifurcation arising in an autonomous electronic circuit. 924:34084 

— (with Ponce, Enrique; Freire Macias, Emilio) A continuation method for the study of 
bifurcations of periodic orbits. (Spanish. English summary) (see 92m:00052) 

— see also Gamero, Estanislao; et al., (92m:00052) 

Schneider, Klaus R. (with Heinz, G.) Branch inclusion in generic Hopf bifurcation: the case 
of scaled van der Pol’s equation. 924:34085 

Shashkov, M. V. Bifurcation of separatrix contours on two-dimensional surfaces. I. 
(Russian) 92d:34086 

Shen, Jia Qi A note on local codimension two bifurcations of flow double zero eigenvalues. 
(Chinese. English summary) 

— The meaning of the Mel/nikov function in physics. (Chinese. English summary) 

— Local bifurcations of Rossler’s equation. 

Stewart, H. B. (with Thompson, J. M. T.; Lansbury, A. N.; Ueda, Yoshisuke) Generic 
patterns of bifurcation governing escape from potential wells. 92h:34079 

Thompson, J. M.T. see Stewart, H. B.; et al., 92h:34079 

To, C. W.S. (with Lin, Rui; Huang, Ke Lei; Lu, Qi Shao) Primary bifurcations in two non- 
linearly coupled oscillators. 92d:34087 

Ueda, Yoshisuke see Stewart, H. B.; et al., 92h:34079 

Visentin, F. Stability properties of bifurcating periodic solutions of periodic systems. 
92i:34051 

Wan, Shi Dong see Li, Ji Bin; et al., 92e:34051 

Wittmann, Maria see Farkas, Henrik; et al., 92a:34038 

Yang, Zhong Hua! Detecting codimension two bifurcations with a pure imaginary and a 
simple zero eigenvalue. 

Yuen, S. W. see Lau, S. L., 92j:34082 

Zheng, Qinghua Hopf bifurcation in differential algebraic equations and applications to 
circuit simulation. 92¢e:34052 

Zoladek, Henryk Remarks on the delay of the loss of stability of systems with changing 
parameter. 92f:34033 


Items with secondary classifications in 34C23 

Abad, Alberto (with Deprit, André; Elipe Sanchez, Antonio C.; Sein-Echaluce, Maria Luisa) 
Simplification for a perturbed quartic oscillator. (see 92b:00044) 

Adachi, Norihike see Mitobe, Kazuhisa 

Afendikov, A. L. Bifurcation on the slow cycle in some hydrodynamic problems. (see 
92g:73003) 

Alekseev, V. V. (with Kharrasov, M. Kh.) Sequences of period-doubling bifurcations in 
Rossler-type models. (Russian. English summary) 92h:58138 

Alvares-Ribeiro, Rosério Periodic solutions and global bifurcations of the FitzHugh 
equations for the nerve impulse. (Portuguese) (see 92g:00024) 

Ambrosetti, Antonio (with Bessi, Ugo) Bifurcation of periodic solutions for Keplerian 
problems. (Italian summary) 92f:70011 

Ariaratnam, S.T. (with Xie, Wei Chau) Stochastic bifurcations in engineering mechanics. 
(French summary) 92a:34062 

Armbruster, Dieter (with Chossat, Pascal) Heteroclinic orbits in a spherically invariant 
system. 92g:58092 

Arrowsmith, D. K. The mathematics of chaos. (see 92h:00013) 

Awrejcewicz, J. (with Someya, Tsuneo) Periodic, quasi-periodic and chaotic orbits and 
their bifurcations in a system of coupled oscillators. 92k:70024 

Bae, Hyeong Ohk (with Lee, Chung-Nim; Poston, Timothy) An application of the Hopf 
bifurcation theorem in economics. 


34C Qualitative theory 


34C23 


Battelli, Flaviano (with Lazzari, Claudio) Exponential dichotomies, heteroclinic orbits, and 
Mel’nikov functions. 92d:58177 

Belikov, S. A. (with Samborskii, S. N.) “Canard”-cycles of fast-slow fields with a one- 
dimensional slow component. (Russian) 92f:34050 

Belogortsev, A. B. Analytical approach to the torus bifurcations in the quasiperiodically 
forced van der Pol oscillator. 92j:34070 

Belyustina, L. N. (with Kiveleva, K.G.) Complex motions in the nonautonomous van der 
Pol equation. (Russian) 92i:34043 

— (with Kinyapina, M. S.; Fishman, L. Z.) The dynamics of a phase synchronization system 
with delay. (Russian) 92i:34091 

Bernfeld, S. R. (with Salvadori, L.; Visentin, F.) Existence of bifurcating periodic solutions 
of planar periodic systems at resonance. (Italian summary) 92b:58151 

— Existence and stability of bifurcating tori in a neighborhood of an equilibrium position. 
92e:58140 

Bessi, Ugo see Ambrosetti, Antonio, 92f:70011 

Bibikov, Yu. N. Bifurcation of a stable invariant torus from the equilibrium state. (Russian) 
92b:58152 

— Construction of invariant tori of systems of differential equations with a small parameter. 
(Russian) 92i:34044 

— *& Muorouactorubie HemHHeHHbIe Koe6aHHs Hu HX GudypKauuu. (Russian) [Multifrequency 
nonlinear oscillations and their bifurcations] 92i:34045 

Billeke G., J. (with Caiias, Moisés; Saez, Eduardo; Szanté, Ivan) Linear bifurcations in S? 
of a 2-cusp. 92f:58117 

— (with Burgos Vega, Hernan; Wallace C., Myrna) Some theorems on the nonexistence, 
uniqueness and existence of two limit cycles for the Liénard equation of degree five. 
92j:34053 

— see also Burgos, H., 924:34060 

Blank, M. L. Phase space discretization in chaotic dynamical systems. 92h:58125 

Bourland, F. Jay (with Haberman, Richard) Capture and the connection formulas for the 
transition across a separatrix. 924:34074 

Braiman, Y. (with Goldhirsch, I.) Taming chaotic dynamics with weak periodic perburba- 
tions. 92b:58139 

Bravo Castillero, Julian Bifurcations of the equilibrium states of a dynamical system. 
(Spanish. English summary) 92m:58095 

Brindley, J. (with Kapitaniak, Tomasz) Analytic predictors for strange nonchaotic 
attractors. 92d:58130 

Broer, H. W. Quasi-periodic bifurcations, applications. 92f:58118 

— (with Vegter, Gert) Bifurcational aspects of parametric resonance. 92m:58096 

Broomhead, D.S. see Healey, J. J.; et al., 92a:34033 

Brown, Ray (with Chua, Leon O.) Generalizing the twist-and-flip paradigm. 92k:58187 

Bruhn, B. (with Koch, B. P.) Heteroclinic bifurcations and invariant manifolds in rocking 
block dynamics. 92c¢:70026 

Bryuno, A. D. Bifurcations of periodic solutions in the symmetric case of a multiple pair of 
imaginary eigenvalues. (Russian. English summary) 92e:58141 

Burgos, H. (with Billeke G., J.) Stability problems of perturbed Liénard equations by 
polynomials in 0/0y direction. (Spanish) 924:34060 

Burgos Vega, Hernan see Billeke G., J.; et al., 92j:34053 

Campbell, Sue Ann (with Holmes, Philip) Bifurcation from O(2) symmetric heteroclinic 
cycles with three interacting modes. 92i:58132 

Canias, Moisés see Billeke G., J.; et al., 92f:58117 and Urbina, A. M.; et al., 92f:58144 

Candelpergher, Bernard (with Diener, Francine; Diener, Marc) Retard 4 la bifurcation: du 
local au global. [Delay to bifurcation: from local to global] 92k:58188 

Castro, Liliana see Moiola, Jorge; et al., 92c:58095 

Cendra, Hernan see Moiola, Jorge; et al., 92¢:58095 

Champneys, Alan R. Homoclinic orbits in the dynamics of articulated pipes conveying fluid. 
92:73042 

Cheng, Chong Qing The Hopf-Landau noncrossed sequence of a nonlinear oscillatory 
system. (Chinese) 

Cheng, Fu De A group of chaotic motion of soft spring quadratic Duffing equations. 
(Chinese. English summary) 92m:70040 

Chicone, Carmen On bifurcation of limit cycles from centers. 92f:58142 

— (with Jacobs, Marc) On a computer algebra aided proof in bifurcation theory. 92e:58142 

— (with Jacobs, Marc) Bifurcation of limit cycles from quadratic isochrones. 92e:58143 

Chossat, Pascal (with Lauterbach, Reiner; Melbourne, Ian) Steady-state bifurcation with 
O(3)-symmetry. 92d:58034 

— see also Armbruster, Dieter, 92g:58092 

Chow, Shui-Nee (with Deng, Bo; Terman, David) The bifurcation of homoclinic orbits 
from two heteroclinic orbits—a topological approach. 92g:58093 

Chua, Leon O. see Komuro, Motomasa; et al., 92j:58073; Brown, Ray, 92k:58187 and 
Komuro, Motomasa; et al. 

Cicogna, G. A nonlinear version of the equivalent bifurcation lemma. 92a:58105 

Clerc, René-Louis (with Hartmann, Christian; Razafimandimby, Boniface) Structures in 
conservative or dissipative dynamical systems. 92g:58094 

— (with Hartmann, Christian; Razafimandimby, Boniface) Propriétés analytiques de 
champs de vecteurs équivariants de R?. (English summary) [Analytic properties for R?- 
equivariant vector fields] 92a:58106 

Cliffe, K. A. see Healey, J. J.; et al., 92a:34033 

Contopoulos, G. The generation of spiral characteristics. 92f:70004 

Crawford, John David (with Knobloch, Edgar; Riecke, Hermann) Mode interactions and 
symmetry. 92e:58145 

Dankworth, David C. (with Sundaresan, S.; Kevrekidis, loannis G.) Infinite-wavelength 
analysis for two-phase flow: a three-parameter computer-assisted study of global 
bifurcations. 92m:76143 

Dellnitz, M. A computational method and path following for periodic solutions with 
symmetry. 924:65131 

Delshams, Amadeo (with Martinez-Seara, Ma. Teresa) On the existence of homoclinic 
orbits in a family of vector fields near an equilibrium point. 92¢:58093 

Deng, Bo The bifurcations of countable connections from a twisted heteroclinic loop. 
92b:58155 

— The existence of infinitely many traveling front and back waves in the Fitz Hugh-Nagumo 





34C23 


equations. 92k:35141 

— see also Chow, Shui-Nee; et al., 92g:58093 

Deprit, André see Abad, Alberto; et al., (92b:00044) 

Desages, Alfredo C. see Moiola, Jorge; et al., 92c:58095 

Diener, Francine see Candelpergher, Bernard; et al., 92k:58188 

Diener, Marc see Candelpergher, Bernard; et al., 92k:58188 

van den Driessche, P. see Hethcote, H. W., 92c:92028 

Edalat, Abbas Equivalence of degenerate Hopf bifurcations. 92g:58095 

Elgin, John see Kent, Phillip, 92i:58135 and 92k:58192 

Elipe Sanchez, Antonio C. see Abad, Alberto; et al., (92b:00044) 

Elskens, Yves (with Escande, D. F.) Slowly pulsating separatrices sweep homoclinic tangles 
where islands must be small: an extension of classical adiabatic theory. 92h:58066 

Englisch, V. (with Lauterborn, Werner) Regular window structure of a double-well Duffing 
oscillator. 92d:34076 

Ershov, S. V. (with Potapov, A. B.) Bifurcations of inertial manifolds in a model problem. 
(Russian. English summary) 92m:58098 

Escande, D. F. see Elskens, Yves, 92h:58066 

Fairgrieve, Thomas F. (with Jepson, Allan D.) O. K. Floquet multipliers. 924:65130 

Feng, Zaichun (with Sethna, P. R.) Global bifurcation and chaos in parametrically forced 
systems with one-one resonance. 92b:58158 

— see also Sethna, P. R.; et al., 92h:58147 

Feng, Zhao Shu see Zhu, Si Ming; et al., 92k:54054 

Fishman, L. Z. see Belyustina, L. N.; et al., 92i:34091 

Foale, S. (with Thompson, J. M. T.) Geometrical concepts and computational techniques 
of nonlinear dynamics. 92g:34044 

Forbes, Lawrence K. (with Myerscough, Mary R.; Gray, Brian F.) On the presence of 
limit-cycles in a model exothermic chemical reaction: Sal‘nikov’s oscillator with two 
temperature-dependent reaction rates. 92j:80008 

— Forced transverse oscillations in a simple spring-mass system. 92g:70018 

Forysiak, W. (with Moloney, J. V.; Harrison, R.G.) Bifurcations of an optically pumped 
three-level laser model. 92h:78019 

Fiirkotter, Monica (with Rodrigues, Hildebrando Munhoz) On harmonic and subharmonic 
solutions of nonlinear second order equations: symmetry and bifurcation. 92g:34049 

Farter, J. E. On the bifurcations of subharmonics in reversible systems. 92i:58134 

Gaeta, Giuseppe Symmetry and periodic solutions of nonlinear dynamical systems. (see 
92b:58003) 

Gardner, Robert Alan Stability and Hopf bifurcation of steady state solutions of a singularly 
perturbed reaction-diffusion system. 92k:35143 

Gasull, Armengol Disappearance of limit cycles for some families of planar vector fields. 
92i:58148 

Gavrilik, A.M. Geometry in nonlinear quantum field models on Stiefel manifolds, 
and bifurcations of associated autonomous systems. (Russian. Ukrainian summary) 
92m:81153 

Gavrilov, N. K. Some bifurcations of equilibrium states of codimension two of zero- 
divergence vector fields. 924:58148 

Goldhirsch, I. see Braiman, Y., 92b:58139 

Golubitsky, Martin (with Krupa, Martin; Lim, Chjan C.) Time-reversibility and particle 
sedimentation. 92¢:76021 

Gray, Brian F. see Forbes, Lawrence K.; et al., 92j:80008 

Haberman, Richard see Bourland, F. Jay, 924:34074 

Harrison, R. G. see Forysiak, W.; et al., 92h:78019 

Hartmann, Christian see Clerc, René-Louis; et al., 92a:58106 and 92g:58094 

Healey, J.J. (with Broomhead, D. S.; Cliffe, K. A.; Jones, Robin; Mullin, T.) The origins of 
chaos in a modified van der Pol oscillator. 92a:34033 

Heinz, G. see Schneider, Klaus R., 92h:58146 

Henderson, M. E. (with Levi, Mark L.; Odeh, F.) The geometry and computation of the 
dynamics of coupled pendula. 92g:34045 

Hermann, Martin (with Ullmann, Thomas) Axisymmetric buckling of hollow spheres: 
bifurcation phenomena in a TPBVP with a regular singularity. (see 92e:65003) 

— (with Ullrich, K.) RWPKV: a software package for continuation and bifurcation 
problems in two-point boundary value problems. 

Hethcote, H. W. (with van den Driessche, P.) Some epidemiological models with nonlinear 
incidence. 92¢:92028 

Hill, Andrew (with Stewart, lan N.) Hopf-steady-state mode interactions with O(2) 
symmetry. 92h:58141 

Hirschberg, P. (with Knobloch, Edgar) An unfolding of the Takens-Bogdanov singularity. 
924:58149 

Holm, Darryl D. (with Kovatit, Gregor; Sundaram, Bala) Chaotic iaser-matter interaction. 
92m:58088 

Holmes, Philip see Campbell, Sue Ann, 92i:58132 

Hotta, A. see Komuro, Motomasa; et al., 92j:58073 

Huang, Xian Hua A mathematical model of a cubic system in physics. (Chinese summary) 
924:58150 

Huseyin, Koncay (with Lin, Rui) An intrinsic multiple-scale harmonic balance method for 
nonlinear vibration and bifurcation problems. 92k:70027 

— (with Lin, Rui) A perturbation method for the analysis of vibrations and bifurcations 
associated with nonautonomous systems. I. Nonresonance case. 92m:70041 

— see also Lin, Rui, 92m:70042 

Ida, T. see Tokunaga, R.; et al., 92m:58100 

Il'yashenko, Yu. S. (with Yakovenko, S. Yu.) Finitely smooth normal forms of local 
families of diffeomorphisms and vector fields. (Russian) 92i:58165 

Inagaki, Yoshio see Shirao, Yoshiaki; et al., 92e:70033 

Invernizzi, Sergio (with Treu, Giulia) Quantitative analysis of the Hopf bifurcation in the 
Goodwin n-dimensional metabolic control system. 92k:92008 

Jacobs, Marc see Chicone, Carmen, 92e:58142 and 92e:58143 

Janovsky, Vladimir (with Plechaé, Petr) Asymptotic analysis of perturbed Takens- 
Bogdanov points. 92h:58142 

Jepson, Allan D. see Fairgrieve, Thomas F., 924:65130 

Jiménez-Lara, Lidia Periodic-orbit structure in the Stérmer problem: period 3. (Spanish. 
English summary) 92m:78012 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 494 


Jing, Zhu Jun Local and global bifurcations and applications in a predator-prey system with 
several parameters. 92h:92016 

Jones, Robin see Healey, J. J.; et al., 92a:34033 

Kapitaniak, Tomasz see Brindley, J., 92d:58130 

Kawabata, Hiroaki see Shirao, Yoshiaki; et al., 92e:70033 

Kay, Steven R. Global bifurcations in a simple, autocatalytic reaction. 92d:58151 

Kent, Phillip (with Elgin, John) Noose bifurcation of periodic orbits. 92k:58192 

— (with Elgin, John) A Shil'nikov-type analysis in a system with symmetry. 92i:58135 

Kertész, V. (with Kooij, Robert E.) Degenerate Hopf bifurcation in two dimensions. 
92i:58095 

Kevrekidis, Ioannis G. see Peckham, Bruce B., 92k:58194 and Dankworth, David C.; et al., 
92m:76143 

Kharrasov, M. Kh. see Alekseev, V. V., 92h:58138 

Kim, Y. B. (with Noah, S. T.) Stability and bifurcation analysis of oscillators with 
piecewise-linear characteristics: a general approach. 92e:70031 

Kinyapina, M.S. see Belyustina, L. N.; et al., 92i:34091 

Kirchgraber, U. (with Lasagni, F.; Nipp, K.; Stoffer, Daniel) On the application of invariant 
manifold theory, in particular to numerical analysis. 92h:58143 

Kiveleva, K.G. see Belyustina, L. N., 92i:34043 

Knobloch, Edgar see Hirschberg, P., 92d:58149; Crawford, John David; et al., 92e:58145; 
Landsberg, A. S., 92i:58136 and Silber, Mary, 92j:58075 

Koch, B. P. see Bruhn, B., 92c:70026 

Kolesov, A. Yu. (with Kolesov, Yu. S.) Bifurcation of self-induced oscillations of a 
singularly perturbed wave equation. (Russian) 92¢:35031 

Kolesov, Yu. S. see Kolesov, A. Yu., 92e:35031 

Komuro, Motomasa (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) 
Global bifurcation analysis of the double scroll circuit. 92j:58073 

— (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) Errata: “Global 
bifurcation analysis of the double scroll circuit” [Internat. J. Bifur. Chaos Appl. Sci. 
Engrg. 1 (1991), no. 1, 139-182; MR 92j:58073]. 

Kooij, Robert E. see Kertész, V., 92i:58095 

Kovatié, Gregor see Holm, Darryl D.; et al., 92m:58088 

Krupa, Martin see Golubitsky, Martin; et al., 92c:76021 

Kunkel, Peter Augmented systems for generalized turning points. 92g:58097 

Kurz, T. see Scheffczyk, C.; et al., 92£:58123 

Landsberg, A.S. (with Knobloch, Edgar) Direction-reversing traveling waves. 92i:58136 

Lasagni, F. see Kirchgraber, U.; et al., 92h:58143 

Lauterbach, Reiner see Chossat, Pascal; et al., 92d:58034 

Lauterborn, Werner see Englisch, V., 92d:34076 and Scheffczyk, C.; et al., 92f:58123 

Lazzari, Claudio see Battelli, Flaviano, 92d:58177 

Lee, Chung-Nim see Bae, Hyeong Ohk; et al. 

Leén de la Barra, G. see Urbina, A. M.; et al., 92f:58144 

Leén de la Barra, M. see Urbina, A. M.; et al., 92f:58144 

Leontovich, E. A. (with Tareev, V. P.) On the problem of splitting a complex separatrix loop 
by “field rotation”. (Russian) 92b:34015 

Lerman, L.M. Complex dynamics and bifurcations in a Hamiltonian system having a 
transversal homoclinic orbit to a saddle focus. 92h:58152 

Levi, Mark L. see Henderson, M. E.; et al., 92g:34045 

Liang, Zhao Jun Several problems on the global analysis of polynomial differential systems. 
(Chinese summary) 92m:58117 

Lim, Chjan C. see Golubitsky, Martin; et al., 92c:76021 

Lin, Rui (with Huseyin, Koncay) A perturbation method for the analysis of vibrations and 
bifurcations associated with nonautonomous systems. II. Resonance case. 92m:70042 

— see also Huseyin, Koncay, 92k:70027 and 92m:70041 

Lin, Xiao-Biao Using Mel‘nikov’s method to solve Silnikov’s problems. 92b:58195 

Litvinenko, D. V. Generating cycles of quadratic systems with a cubic Hamiltonian. 
(Russian. English summary) 92d:58167 

Lloyd, N. G. (with Pearson, Jane Margaret) Conditions for a centre and the bifurcation of 
limit cycles in a class of cubic systems. 92b:34039 

Loginov, B. V. A general approach to the study of the bifurcation of the birth of a cycle 
under conditions of group symmetry. (Russian. Uzbek summary) 92c:58094 

— (with Rusak, Yu. B.) Generalized Jordan structure in the problem of the stability of 
bifurcating solutions. 92j:34122 

Lu, Bang Zheng (with Zhou, Ling Yun) Chaos and bifurcation of periodic solution on the 
problem of Euler dynamical bending. (see 92i:00013) 

Lyubimov, D. V. (with Pikovskii, A. S.; Zaks, M. A.) * Universal scenarios of transitions to 
chaos via homoclinic bifurcations. 92j:58074 

Martinez-Seara, Ma. Teresa see Delshams, Amadeo, 92c:58093 

Matsumoto, Takashi see Komuro, Motomasa; et al., 92j:58073; Tokunaga, R.; et al., 
92m:58100 and Komuro, Motomasa; et al. 

Matsuno, Yoshimasa Two-dimensional dynamical system associated with Abel’s nonlinear 
differential equation. 92h:34025 

McCord, Christopher (with Mischaikow, Konstantin) Connected simple systems, transition 
matrices, and heteroclinic bifurcations. 92k:58193 

Medved, Milan Normal forms and bifurcations of some equivariant vector fields. (Russian 
summary) 92c¢:58133 

Melbourne, Ian see Chossat, Pascal; et al., 92d:58034 

Mischaikow, Konstantin see McCord, Christopher, 92k:58193 

Mitobe, Kazuhisa (with Adachi, Norihiko) Hopf bifurcation in an adaptive d.c. servo 
system. 

Miya, K. see Tokunaga, R.; et al., 92m:58100 

Moiola, Jorge (with Castro, Liliana; Cendra, Hernan; Desages, Alfredo C.) Degenerate 
bifurcations and catastrophe sets via frequency analysis. 92c:58095 

Moloney, J. V. see Forysiak, W.; et al., 92h:78019 

Moroz, Irene M. Some complex differential equations arising in telecommunications. 
92g:94005 

Mourtada, Abderaouf Cyclicité finie des polycycles hyperboliques du plan. (English 
summary) [Finite cyclicity of hyperbolic polycycles in the plane] 92¢:58168 

Mullin, T. see Healey, J. J.; et al., 92a:34033 and Price, T. J., 92b:76054 

Muratori, Simona _ see Rinaldi, Sergio, 92i:92016 





495 1992 


Myerscough, Mary R. see Forbes, Lawrence K.; et al., 92j:80008 

Nagahara, Toshikuni see Shirao, Yoshiaki; et al., 92e:70033 

Nagata, Wayne A perturbed Hopf bifurcation with reflection symmetry. 924:58035 

Nipp, K. see Kirchgraber, U.; et al., 92h:58143 

Noah, S. T. see Kim, Y. B., 92e:70031 

Odeh, F. see Henderson, M. E.; et al., 92g:34045 

Parlitz, U. see Scheffczyk, C.; et al., 92f:58123 

Pearson, Jane Margaret see Lloyd, N. G., 92b:34039 

Peckham, Bruce B. (with Kevrekidis, Ioannis G.) Period doubling with higher-order 
degeneracies. 92k:58194 

Perko, L.M. Bifurcation of limit cycles. 92¢:58111 

Pikovskii, A.S. see Lyubimov, D. V.; et al., 92j:58074 

Plechdt, Petr see Janovsky, Viadimir, 92h:58142 

Poston, Timothy see Bae, Hyeong Ohk; et al. 

Potapov, A. B. see Ershov, S. V., 92m:58098 

Price, T. J. (with Mullin, T.) An experimental observation of a new type of intermittency. 
92b:76054 

Razafimandimby, Boniface see Clerc, René-Louis; et al., 92a:58106 and 92g:58094 

Riecke, Hermann see Crawford, John David; et al., 92¢:58145 

Rinaldi, Sergio (with Muratori, Simona) Limit cycles in slow-fast forest-pest models. 
92i:92016 

Rodrigues, Hildebrando Munhoz see Firkotter, Monica, 92g:34049 

Roitenberg, V. Sh. Bifurcations of separatrices that are asymptotic to a separatrix contour. 
(Russian) 92e:58148 

Ross, John see Vance, William N., 92h:58149 

Rothe, Franz (with Shafer, Douglas S.) Bifurcation in a quartic polynomial system arising 
in biology. 92d:92034 

Rousseau, Christiane (with Zotadek, Henryk) Zeroes of complete elliptic integrals for 1 : 2 
resonance. 92j:58086 

Rubanovskii, V.N. (with Sergeev, V.S.) Stationary solutions of a nonlinear diffusion 
problem. (Russian) 924:35150 

Rusak, Yu. B. see Loginov, B. V., 92j:34122 

Sacks, Elisha P. Automatic analysis of one-parameter planar ordinary differential equations 
by intelligent numeric simulation. 92c:68185 

Saet, Yuly A. (with Viviani, G. L.) Quasilinear and relaxational realms in multiple regime 
self-oscillators. 92i:34048 

Saez, Eduardo see Billeke G., J.; et al., 92f:58117 

Salvadori, L. Existence and stability of bifurcating periodic solutions of planar periodic 
systems at resonance. 92j:58087 

— see also Bernfeld, S. R.; et al., 92b:58151 

Samborskii, S. N. see Belikov, S. A., 92f:34050 

Schaaf, Renate * Global solution branches of two-point boundary value problems. 
92a:34003 

Scheffczyk, C. (with Parlitz, U.; Kurz, T.; Lauterborn, Werner) Comparison of bifurcation 
sets of driven strictly dissipative oscillators. 92f:58123 

Scheurle, Jiirgen Splitting of separatrices and chaos. 92b:58124 

Schneider, Klaus R. (with Heinz, G.) Branch inclusion in generic Hopf bifurcation: general 
approach. (German and Russian summaries) 92h:58146 

Sein-Echaluce, Maria Luisa see Abad, Alberto; et al., (92b:00044) 

Sergeev, V.S. see Rubanovskii, V. N., 92d:35150 

Sethna, P.R. (with Feng, Zaichun; Yang, X. L.) On symmetry breaking bifurcations: local 
and global phenomena. 92h:58147 

— see also Feng, Zaichun, 92b:58158 

Sextro, Walter see Stelter, Peter, 92b:58163 

Shafer, Douglas S. see Rothe, Franz, 92d:92034 

Shen, Bo Qian A necessary and sufficient condition for the existence of parabolic separatrix 
cycles in a quadratic system. (Chinese. English summary) 92k:34034 

Shimizu, Toshihiro Perturbation theory analysis of chaos. III. Period doubling bifurcations 
in a simple model. 92m:58091 

Shirao, Yoshiaki (with Kawabata, Hiroaki; Nagahara, Toshikuni; Inagaki, Yoshio) A study 
of period-doubling bifurcations of 4/7-harmonics in the nonautonomous piecewise linear 

y with unsy ical restoring force. 92e:70033 

Shobukhov, A. V. Branching off of spatially inhomogeneous periodic solutions from limit 
cycles of autonomous systems of ordinary differential equations perturbed by small 
diffusion terms. 92f:35027 

Silber, Mary (with Knobloch, Edgar) Hopf bifurcation on a square lattice. 92j:58075 

Soliman, Mohamed S. (with Thompson, J. M. T.) Basin organization prior to a tangled 
saddle-node bifurcation. 92f:58104 

— see also Thompson, J. M. T., 92k:58195 

Someya, Tsuneo see Awrejcewicz, J.,92k:70024 

Steindl, Alois see Troger, Hans, 92k:34060 

Stelter, Peter (with Sextro, Walter) Bifurcations in dynamic systems with dry friction. 
92b:58163 

Stewart, H. B. (with Ueda, Yoshisuke) Catastrophes with indeterminate outcome. 
92g:58016 

Stewart, Ian N. see Hill, Andrew, 92h:58141 

Stoffer, Daniel see Kirchgraber, U.; et al., 92h:58143 

Sundaram, Bala see Holm, Darryl D.; et al., 92m:58088 

Sundaresan, S. see Dankworth, David C.; et al., 92m:76143 

Sz4nté, Ivan see Billeke G., J.; et al., 92f:58117 

Takeuchi, Yasuhiro Diffusion-mediated persistence in three-species competition models 
with heteroclinic cycles. 92m:92017 

Tareev, V. P. see Leontovich, E. A., 92b:34015 

Terman, David Chaotic spikes arising from a model of bursting in excitable membranes. 
92h:92004 

— see also Chow, Shui-Nee; et al., 92g:58093 

Thompson, J. M.T. (with Soliman, Mohamed S.) Indeterminate jumps to resonance from a 
tangled saddle-node bifurcation. 92k:58195 

— see also Soliman, Mohamed S., 92f:58104 and Foale, S., 92g:34044 





34C Qualitative theory 


34C25 


Tokunaga, R. (with Matsumoto, Takashi; Ida, T.; Miya, K.) Homoclinic linkage in the 
double scroll circuit and the cusp-constrained circuit. 92m:58100 

— see also Komuro, Motomasa; et al., 92j:58073 

Treu, Giulia see Invernizzi, Sergio, 92k:92008 

Troger, Hans (with Steindl, Alois) * Nonlinear stability and bifurcation theory. 92k:34060 

Ueda, Yoshisuke see Stewart, H. B., 92g:58016 

Uezu, Tatsuya Topological structure in flow systems. 92f:58124 

Ullmann, Thomas see Hermann, Martin, (92¢:65003) 

Ullrich, K. see Hermann, Martin 

Urbina, A. M. (with Cafias, Moisés; Leén de la Barra, G.; Leon de la Barra, M.) Perturba- 
tions of a Hamiltonian family of cubic vector fields. 92:58144 

Vance, William N. (with Ross, John) Bifurcation structures of periodically forced 
oscillators. 92h:58149 

Vanderbauwhede, André Period-doublings and orbit-bifurcations in symmetric systems. 
924d:58156 

— Hopf bifurcation for equivariant conservative and time-reversible systems. 92f:58125 

Vegter, Gert see Broer, H. W., 92m:58096 

Visentin, F. see Bernfeld, S. R.; et al., 92b:58151 

Viviani, G. L. see Saet, Yuly A., 92i:34048 

Wallace C., Myrna see Billeke G., J.; et al., 92j:34053 

Walther, Hans-Otto Bifurcation from a saddle c ion in functi 
equations: an approach with inclination lemmas. 92¢:34084 

Wang, Duo Hopf bifurcation at the nonzero foci in 1:4 resonance. 92d:58157 

Wiggins, Stephen * Introduction to applied nonlinear dynamical systems and chaos. 
92a:58041 

Xie, Wei Chau see Ariaratnam, S. T., 92a:34062 

Yakovenko, S. Yu. see Il'yashenko, Yu. S., 92i:58165 

Yang, X. L. see Sethna, P. R.; et al., 92h:58147 

Zaks, M. A. see Lyubimov, D. V.; et al., 92j:58074 

Zhang, Wei-Bin Cyclical economic growth—re-examining the Goodwin model. 92c:90034 

Zheng, Zhi Ming Qualitative analysis of van der Pol type equation with periodic forcing 
term. 924:34079 

Zhou, Ling Yun see Lu, Bang Zheng; et al., (92i:00013) 

Zhu, Si Ming (with Feng, Zhao Shu) Bifurcation for invariant sets of dynamical systems in 
metric spaces. (Chinese) 92k:54054 

Zoladek, Henryk see Rousseau, Christiane, 92):58086 


1-differential 





34C25 Periodic solutions 


Akhmetov, M. U. (with Perestyuk, N. A.) Periodic solutions of quasilinear impulse systems 
in the critical case. (Russian. Ukrainian summary) 924:34088 

Aleksiev, D. P. Periodic solutions of quasilinear systems of second-order differential 
equations in a special case. (Bulgarian. English and Russian summaries) 

Ananich, T. I. Nonlinear periodic systems with a linear Poincaré mapping. (Russian) 
92h:34080 

Andres, Jan Solution with periodic second derivative of a certain third order differential 
equation. (Russian summary) 92m:34088 

— On a certain nonlinear differential equation of the third order involving the sinusoidal 
restoring term. 924:34089 

Awrejcewicz, J. (with Someya, Tsuneo) Analytical condition for the existence of two- 
parameter family of periodic orbits in the autonomous system. 92¢:34047 

Bertotti, Maria Letizia Forced oscillations of singular dynamical systems with an applica- 
tion to the restricted three-body problem. 92k:34047 

Boichuk, A. A. (with Zhuravlév, V. F.; Chuiko, S. M.) Periodic solutions of nonlinear 
autonomous systems in critical cases. (Russian. Ukrainian summary) 92e:34053 

— (with Perestyuk, N. A.; Samoilenko, A. M.) Periodic solutions of impulse differential 
systems in critical cases. (Russian) 92i:34052 

— Conditions for the rise of periodic solutions of linear systems. (Russian) 92m:34089 

Chen, Xiu Dong (with Li, Jia Xu; Fan, Hong Yi?) Harmonic solutions to the equation 
X¥ + f(x)x + g(x) = p(t). (Chinese) 92c:34048 

Chornyi, V. Z. see Mitropol’skii, Yu. A., 92k:34049 

Chuiko, S. M. see Boichuk, A. A.; et al., 92e:34053 

Dell’Antonio, Gianfausto Periodic solutions near the Lagrange equilibrium points in the 
restricted three-body problem, for mass ratios near Routh’s critical value. 92a:34039 

Dement’eva, A. M. (with Krasnosel’skii, A. M.; Yumagulov, M. G.) On the approximate 
construction of periodic solutions of a first-order nonlinear equation. (Russian. Tajiki 
summary) 92j:34083 

Derayeh, S. (with Mehri, B.; Rashidi, H.R.) Periodic solution of certain nonlinear second 
order differential equation. (see 92m:00055) 

Devlin, J. Word problems related to derivatives of the displacement map. 92h:34081 

Dobrokhotova, M. A. Necessary and sufficient conditions for the existence of linearly 
ordered periodic solutions of a second-order Riccati equation. (Russian) (see 92f:00018) 

Dzyuba, S. M. Periodic solutions of some functional equations. (Russian) 92i:34053 

Elgondyev, K. K. see Samoilenko, V. Gr., 92m:34094 

El-Nahhas, A. Small constant perturbations of a nonlinear nonautonomous nth order 
differential equation. 92j:34084 

Erbe, Lynn H. (with Liu, Xinzhi) Existence of periodic solutions of impulsive differential 
systems. 92d:34090 

Fan, Hong Yi? see Chen, Xiu Dong; et al., 92c:34048 

Fernandes, M. L. C. (with Zanolin, Fabio) On periodic solutions, in a given set, for 
differential systems. 92i:34054 

Fonda, A. (with Lazer, Alan C.) Subharmonic solutions of conservative systems with 
nonconvex potentials. 92h:34082 

Firkotter, Monica (with Rodrigues, Hildebrando Munhoz) On harmonic and subharmonic 
solutions of nonlinear second order equations: symmetry and bifurcation. 92g:34049 

Gossez, Jean-Pierre (with Omari, Pierpaolo) Periodic solutions of a second order ordinary 
differential equation: a necessary and sufficient condition for nonresonance. 92m:34090 

Grechko, V. I. On the determination of periodic solutions of countable systems of ordinary 
differential equations. (Russian) 92j:34085 





34C25 


Habets, P. (with Sanchez, Luis) Periodic solutions of dissipative dynamical systems with 
singular potentials. 92a:34040 

Han, Zheng-Chao Periodic solutions of a class of dynamical systems of second order. 
92¢:34049 

Hara, Tadayuki see Sugie, Jitsuro, 92m:34095 

Huang, Xian Kai 27-periodic solutions to n-dimensional Liénard equations at resonance. 
(Chinese. English summary) 92j:34086 

Jin, Jun Existence and uniqueness of periodic solutions to nonlinear periodic systems with 
slowly varying coefficients. (Chinese. English summary) 92e:34054 

Karandzhulov, L. I. Periodic solutions of classes of autonomous systems with a single 
characteristic in the resonance and boundary conditions. (Russian. English and Bulgarian 
summaries) 

KneZevi¢é, Jukka Periodical solutions of some differential equations with small parameter. 
(Serbo-Croatian summary) 

Kovalev, V. A. On a case of the existence of a periodic solution of a system of differential 
equations. (Russian) 92j:34087 

Kozubovskaya, I. G. Periodic solutions of some systems of nonlinear differential equations. 
(Russian) 92h:34083 

Krasnosel’skii, A. M. see Dement'eva, A. M.; et al., 92j:34083 

Krasnosel'skii, M. A. (with Mawhin, Jean L.; Pokrovskii, A. V.) New theorems on forced 
periodic oscillations and bounded solutions. (Russian) 92m:34091 

Kubicova, Monika Periodic solutions to a nonlinear differential equation of the order 2n + 
1. (Italian summary) 92m:34092 

Lassoued, L. Periodic solutions of a second order superquadratic system with a change of 
sign in the potential. 92j:34088 

Lazer, Alan C. see Fonda, A., 92h:34082 

Li, Jia Xu see Chen, Xiu Dong; et al., 92c:34048 

Li, Yong® Existence and uniqueness theorems for periodic solutions to second-order 
ordinary vector differential equations. (Chinese. English summary) 92e:34055 

— (with Wang, Huai Zhong) Periodic solutions to higher-order Duffing equations. (Chinese. 
English summary) 92k:34048 

Lin, Fa Xing The existence of almost periodic solutions and periodic solutions. 92b:34050 

Liu, Bin An existence theorem for harmonic solutions to semilinear Duffing equations. 
(Chinese) 92j:34089 

— Existence of subharmonic solutions of any order for a nonconservative system. 92i:34055 

Liu, Xinzhi see Erbe, Lynn H.; et al., 92d:34090 

Liz, E. (with Nieto, Juan J.) Periodic solutions of discontinuous impulsive differential 
systems. 92m:34093 

Manolov, S. Autonomous systems with symmetry. (Russian. English summary) 92a:34041 

Mawhin, Jean L. see Krasnosel'skii, M. A.; et al., 92m:34091 

Mehri, B. see Derayeh, S.; et al., (92m:00055) 

Mitropol'skii, Yu. A. (with Chornyi, V. Z.) Two-sided approximations of periodic solutions 
of systems of second-order differential equations. (Russian) 92k:34049 

Nieto, Juan J. see Liz, E., 92m:34093 

Omari, Pierpaolo Nonordered lower and upper solutions and solvability of the periodic 
problem for the Liénard and the Rayleigh equations. (Italian summary) 92f:34034 

— see also Gossez, Jean-Pierre, 92m:34090 

Ortega, Rafael Topological degree and stability of periodic solutions for certain differential 
equations. 92a:34042 

— The first interval of stability of a periodic equation of Duffing type. 92j:34090 

Otrokova, I. N. Periodic motions in systems with a cylindrical phase space. (Russian) (see 
92:00018) 

Perestyuk, N. A. see Akhmetov, M. U., 92d:34088 and Boichuk, A. A.; et al., 921:34052 

Pokrovskii, A. V. see Krasnosel’skii, M. A.; et al., 92m:34091 

Rashidi, H. R. see Derayeh, S.; et al., (92m:00055) 

Reithmeier, E. Periodic solutions of nonlinear dynamical systems with discontinuities. 
92b:34051 

Rodrigues, Hildebrando Munhoz see Firkotter, Monica, 92g:34049 

Rozhkov, V.I. Periodic solutions of linear singularly perturbed systems with certain 
singularities. (Russian) 92k:34050 

Saito, Seiji (with Yamamoto, Minoru) The continuous dependence of periodic solutions 
for the periodic quasilinear ordinary differential system containing a parameter. 
92£:34035 

Samoilenko, A. M. see Boichuk, A. A.; et al., 92i:34052 

Samoilenko, V.Gr. (with Elgondyev, K. K.) Periodic and almost periodic solutions of linear 
homogeneous differential equations with impulse action. (Russian) 92m:34094 

Sanchez, Luis see Habets, P., $2a:34040 

Sandrakov, G. V. Ona problem of H. Poincaré. (Russian) 92h:34084 

Shi, Nan Ting Periodic solutions to the equation ¥ + f(x, x)x + g(x) = p(t). (Chinese) 

Sidorov, E. A. On the number of periodic solutions of some differential and functional 
equations. (Russian) 92j:34091 

Someya, Tsuneo see Awrejcewicz, J., 92¢:34047 

Sugie, Jitsuro (with Hara, Tadayuki) Nonexistence of periodic solutions of the Liénard 
system. 92m:34095 

Takat, Peter Linearly stable subharmonic orbits in strongly monotone time-periodic 
dynamical systems. 92i:34056 

Terékhin, M. T. Conditions for the existence of a singular value of the parameter of a 
system of ordinary differential equations. (Russian) 92¢:34056 

Tineo, Antonio Existence of two periodic solutions for the periodic equation * = g(t, x). 
92¢:34050 

Tiryaki, Aydin Periodic solutions of certain systems of fourth, fifth and sixth order 
differential equations. 

— Periodic solutions of certain fifth order differential equations. (Turkish summary) 
92h:34085 

Veretennikov, V.G. An algorithm for constructing periodic solutions of Lyapunov systems. 
(Russian. English summary) 92c:34051 

Vinogradov, V. V. Limit cycles of a system of interacting populations. (Russian. English 
summary) 92h:34086 

Viéek, Viadimir To existence of the periodic solution of a third-order nonlinear differential 
equation. (Russian and Czech summaries) 92k:34051 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 496 


— Note on existence of periodic solutions to the third-order nonlinear differential equation. 
(Russian and Czech summaries) 92k:34052 

Wang, Cheng Wen A class of functional response ecological systems with prey having 
constant rate of increase. (Chinese. English summary) 92k:34053 

Wang, Huai Zhong see Li, Yong’; et al., 92k:34048 

Wang, Quan Yi The existence of periodic solution of Hamilton system. 92m:34096 

Xie, Xiang Sheng Existence of periodic solutions to nonautonomous systems. (Chinese. 
English summary) 92h:34087 

Yamamoto, Minoru see Saito, Seiji, 92f:34035 

You, Jian Gong Periodic solutions to pendulum type equations. (Chinese. English summary) 
92a:34043 

Yumagulov, M. G. see Dement’eva, A. M.; et al., 92j:34083 

Zanolin, Fabio Permanence and positive periodic solutions for Kolmogorov competing 
species systems. 92m:34097 

— see also Fernandes, M. L. C., 92i:34054 

Zhang, Meng Qiu Harmonic oscillations of time-varying linear systems. (Chinese. English 
summary) 

Zhao, Huai Zhong The periodic solutions of Riccati equation with periodic coefficients. 
92m:34098 

— Periodic solutions to the Riccati equation with periodic coefficients. (Chinese. English 
summary) 

Zheng, Zhi Ming Time dependence of the solutions of van der Pol type equation with 
periodic forcing term. 92f:34036 

Zheng, Zuo Huan Periodic solutions of the Josephson equation. 92d:34091 

— On the nonexistence of periodic solutions for Liénard equations. 92b:34052 

Zhuravlév, V.F. see Boichuk, A. A.; et al., 92¢:34053 


Items with secondary classifications in 34C25 


Adams, Ernst Wilhelm (with Cordes, D.; Keppler, H.) Enclosure methods as applied to 
linear periodic ODEs and matrices, (German and Russian summaries) 92a:34012 

Akhmetov, M. U. Periodic solutions of nonautonomous systems of differential equations 
with impulse action in the critical case. (Russian. Kazakh summary) 92m:34025 

Albanese, Claudio (with Frohlich, Jiirg) Perturbation theory for periodic orbits in a class of 
infinite-dimensional Hamiltonian systems. 92i:58149 

Alvarez G., Carlos S. Two competing species in a T-periodic environment in N-different 
locations. 92e:92017 

Andersen, Kurt Munk see Sandgqvist, Allan, 92i:34008 

Arrate Peiia, Manuel (with Domingo, Francisco) Existence and uniqueness of periodic 
solutions of ordinary differential equations in Banach spaces. (Spanish) (see 92b:00044) 

Bahri, Abbas (with Rabinowitz, Paul H.) Periodic solutions of Hamiltonian systems of 3- 
body type. 92k:58223 

Bainov, Drumi D. see Simeonov, P. S., 92j:34027 

Beirao da Veiga, H. Periodic solutions for a class of autonomous Hamiltonian systems. 
92¢:58112 

Bernfeld, S. R. (with Salvadori, L.; Visentin, F.) Existence of bifurcating periodic solutions 
of planar periodic systems at resonance. (Italian summary) 92b:58151 

Bessi, Ugo (with Coti Zelati, Vittorio) Symmetries and noncollision closed orbits for planar 
N-body-type problems. 92a:70006 

Bountis, Tassos see Mahmoud, G. M., 92¢:34046 

Brousseau, V. Espaces de Krein et index des systémes hamiltoniens. (English summary) 
[Krein spaces and the index of Hamiltonian systems] 92e:58067 

Burkin, I. M. On the existence of limit cycles of the second kind of multidimensional phase 
synchronization systems. (Russian) 92m:34068 

Canino, Annamaria Periodic solutions of Lagrangian systems on manifolds with boundary. 
92a:58026 

Capietto, Anna (with Mawhin, Jean L.; Zanolin, Fabio) Continuation theorems for periodic 
perturbations of autonomous systems. 92¢:34026 

Capozzi, Alberto (with Solimini, Sergio; Terracini, Susanna) On a class of dynamical 
systems with singular potential. 92f:58145 

Chen, Zu Ming see Guan, Ke Ying; et al. 

Chicone, Carmen On bifurcation of limit cycles from centers. 92f:58142 

— (with Jacobs, Marc) On a computer algebra aided proof in bifurcation theory. 92e:58142 

Clark, Mark E. (with Gross, Louis J.) Periodic solutions to nonautonomous difference 
equations. 92¢:39003 

Cordes, D. see Adams, Ernst Wilhelm; et al., 92a:34012 

Coti Zelati, Vittorio (with Ekeland, Ivar; Lions, Pierre-Louis) Index estimates and critical 
points of functionals not satisfying Palais-Smale. 92a:58027 

— see also Bessi, Ugo, 92a:70006 

Delinitz, M. A computational method and path following for periodic solutions with 
symmetry. 924:65131 

Del Pino, Manuel A. (with Manasevich, Raul F.; Murda, Alejandro E.) Existence and 
multiplicity of solutions with prescribed period for a second order quasilinear ODE. 
92m:34055 

Dobrokhotova, M. A. Exponential solutions of a third-order linear differential equation with 
periodic coefficients. (Russian. English and Georgian summaries) 92a:34030 

Domingo, Francisco see Arrate Peiia, Manuel, (92b:00044) 

Dorogovtsev, A. Ya. Stochastically periodic solutions of differential equations with operator 
coefficients. (Russian. Ukrainian summary) 92i:60123 

Douraid, Daly Solutions périodiques dans un puits de potentiel. (English summary) 
[Periodic solutions in a potential well] 92d:58032 

Ekeland, Ivar see Coti Zelati, Vittorio; et al., 92a:58027 

Ekimov, A. V. On the bifurcation of birth of a limit cycle from a compound complex focus. 
(Russian. English summary) 92h:34078 

Elgin, John see Kent, Phillip, 92k:58192 

Evlampiev, N. P. Periodic solutions of a functional equation with linear deviation of the 
argument. (Russian) 

Fabry, C. (with Fonda, A.) Periodic solutions of nonlinear differential equations with 
double resonance. 92¢:34029 

Fan, Xian Ling (with Wang, Bi Xiang) Remarks on periodic solutions of prescribed energy 
for singular Hamiltonian systems. 92i:58150 





497 1992 


Fetkan, Michal A symmetry theorem for variational problems. 92d:47082 

Feng, De Xing see Li, Shu Jie; et al., 92j:47125 

Fernandes, M. L. C. (with Zanolin, Fabio) Repelling conditions for boundary sets using 
Liapunov-like functions. II. Persistence and periodic solutions. 92a:58079 

Field, Mike (with Swift, James W.) Stationary bifurcation to limit cycles and heteroclinic 
cycles. 92k:58191 

Fonda, A. see Fabry, C., 92e:34029 

Freedman, H. I. see Yang, Feng, 92k:92021 

Frohlich, Jiirg see Albanese, Claudio, 92i:58149 

Furter, J. E. On the bifurcations of subharmonics in reversible systems. 92i:58134 

Ge, Wei Gao On the existence of harmonic solutions of Liénard systems. 924:34040 

Girardi, Mario (with Matzeu, Michele) Convergence results for periodic solutions of 
nonautonomous Hamiltonian systems. (Italian summary) 924:58169 

— (with Matzeu, Michele) Dual Morse index estimates for periodic solutions of Hamilton- 
ian systems in some nonconvex superquadratic cases. 92k:58224 

Glebskaya, O. Yu. (with Korolev, V. 1.; Rotkov, L. Yu.) Periodic and quasiperiodic 
oscillations in a self-oscillating system with three degrees of freedom. (Russian) 
92m:34080 

Golubitsky, Martin (with Krupa, Martin; Lim, Chjan C.) Time-reversibility and particle 
sedimentation. 92c:76021 

Gross, Louis J. see Clark, Mark E., 92¢:39003 

Guan, Ke Ying (with Chen, Zu Ming) Doubly periodic solutions of the Riccati equation in 
complex domain. 

Guo, You Zhong (with Liu, Zeng Rong; Jiang, Xia Mei; Han, Zhi Bin) Higher-order 
Melnikov method. (Chinese. English summary) 924:34083 

Gupta, Chaitan P. Asymptotic conditions for the solvability of a fourth order boundary 
value problem with periodic boundary conditions. 92¢:34031 

— Solvability of a fourth-order boundary value problem with periodic boundary conditions. 
Il. 92b:34034 ; 

Guseinov, Kh. G. Strongly invariant sets and periodic solutions of a differential inclusion. 
(Russian) 92¢:34016 

Habets, P. (with Ramos, Miguel; Sanchez, Luis) Jumping nonlinearity for 2nd order ODE 
with positive forcing. 92m:34057 

HaluSka, Vladimir On the existence of a solution of a vector periodic boundary value 
problem. 924:34042 

Han, Mao An Research methods for two-dimensional Liénard systems and their results. 
(Chinese. English summary) 92m:34070 

Han, Zhi Bin see Guo, You Zhong; et al., 92d:34083 

Hanebaly, E. Un théoréme du point fixe et solutions périodiques d’équations différentielles 
V -dissipatives. (English summary) [A fixed-point theorem and periodic solutions of V- 
dissipative differential equations] 92j:47119 

He, Xiang Jian Hopf bifurcation at infinity with discontinuous nonlinearities. 92i:34050 

Hofbauer, Josef (with Mallet-Paret, J.; Smith, Hal L.) Stable periodic solutions for the 
hypercycle systems. 92m:34103 

Hong, Jia Lin (with Wang, Rong Hua) Existence of periodic motions in limit sets. 
(Chinese. English summary) 

Huang, Fa Lun (with Liang, Jin; Xiao, Ti Jun) Fixed points of set-valued mappings and 
existence of solutions and periodic solutions to differential inclusions. (Chinese. English 
summary) 92m:47113 

Jacobs, Marc see Chicone, Carmen, 92e:58142 

Jiang, Xia Mei see Guo, You Zhong; et al., 92d:34083 

Jiménez Olivo, Pedro see Sanchis Arnal, Ricardo; et al., (92b:00044) 

Jin, Jun Existence, uniqueness and asymptotic stability of periodic solutions of a nonlinear 
equation in phase locked technology. 924:34077 

Karandzhulov, L.I. Branching of periodic solutions of quasilinear autonomous systems in 
the resonance case. (Russian. Ukrainian summary) 92j:34081 

Keller, Joseph B. Diffusively coupled dynamical systems. 92k:35132 

Kent, Phillip (with Elgin, John) Noose bifurcation of periodic orbits. 92k:58192 

Kenzhebaev, K. see Samoilenko, A. M.; et al., 92b:34022 

Keppler, H. see Adams, Ernst Wilhelm; et al., 92a:34012 

Khatskevich, V. L. Solvability of a periodic problem for a nonlinear Hamiltonian system. 
(Russian) 92m:47127 

Korolev, V. I. see Glebskaya, O. Yu.; et al., 92m:34080 

Krupa, Martin see Golubitsky, Martin; et al., 92c:76021 

Kunitsyn, A. L. (with Tashimov, L. T.) * Hexoroppie 3aqa4” ycTOM4MBOCTH HeJIMHeMHBIX 
pe30HaHCHBIX cuctem. (Russian) [Some problems on the stability of nonlinear resonance 
systems] 92b:34057 

Laederich, Stephane Periodic solutions of nonlinear differential-difference equations. 
92¢e:34098 

Lakshmikantham, V. (with Nieto, Juan J.; Sun, Yong) An ex.stence resi:!t about periodic 
boundary value problems of second order differential equations. 92i:34027 

Laptinskii, V. N. An approach to searching for periodic solutions of differential equations. 
(Russian. English summary) 92c:34020 

— see also Samoilenko, A. M.; et al., 92b:34022 

Lazer, Alan C. (with McKenna, P. J.) Nonresonance conditions for the existence, 
uniqueness, and stability of periodic solutions of differential equations with asymmetric 
nonlinearities. 92b:34035 

— (with McKenna, P. J.) Periodic bouncing for a forced linear spring with obstacle. 
92m:34082 

Li, Shu Jie (with Feng, De Xing) A new proof of the Hadamard monodromy theorem and 
the periodic solution for a class of O.D.E. systems at resonance. 92j:47125 

Li, Tie Cheng On periodic solution of forced second order vector delay-differential 
equation. 92b:34076 

Liang, Jin see Huang, Fa Lun; et al., 92m:47113 

Lim, Chjan C. see Golubitsky, Martin; et al., 92c:76021 

Lin, Xiao-Biao Using Mel‘nikov’s method to solve Silnikov’s problems. 92b:58195 

Lions, Pierre-Louis see Coti Zelati, Vittorio; et al., 92a:58027 

Liu, Jia Quan A note on resonance problem. (Italian summary) 92g:34022 

Liu, Zeng Rong see Guo, You Zhong; et al., 92d:34083 

Loginov, B. V. (with Rakhmatova, Kh. R.; Yuldashev, N. N.) Ona branching equation of 








34C Qualitative theory 


34C25 


periodic solutions with a crystallographic symmetry group. (Russian) 92j:47126 

Long, Yi Ming (with Zehnder, Eduard) Morse-theory for forced oscillations of asymptoti- 
cally linear Hamiltonian systems. 92j:58019 

— Periodic solutions of perturbed superquadratic Hamiltonian systems. 92c:58113 

— Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian 
systems. 92d:58171 

Macki, Jack W. (with Nistri, Paolo; Zecca, Pietro) A theoretical justification of the method 
of harmonic balance for systems with discontinuities. 92i:34046 

Mahmoud, G. M. (with Bountis, Tassos) On synchronized periodic solutions of a 
parametrically forced van der Pol oscillator. 92g:34046 

Makhlouf, Amar Sur les solutions périodiques d’une famille d’équations de Hill. (English 
summary) [On the periodic solutions of a family of Hill’s equations] 92k:34023 

Mallet-Paret, J. see Hofbauer, Josef; et al., 92m:34103 

Malyshev, Yu. V. (with Zakharov, V. P.) Linear generalized Lyapunov functions and limit 
cycles. (Russian) 92¢:34036 

Manasevich, Raul F. see Del Pino, Manuel A.; et al., 92m:34055 

Martinez, I. see Pérez del Rio, J. Suarez, (92g:00024) 

Martinez-Amores, Pedro Generic properties of forced conservative systems with periodic 
potential. (Spanish) 92f:58147 

Matzeu, Michele see Girardi, Mario, 92d:58169 and 92k:58224 

Mawhin, Jean L. (with Schmitt, Klaus) Nonlinear eigenvalue problems with the parameter 
near resonance. 924:34046 

— Generic properties of nonlinear boundary value problems. 92f:47066 

— see also Capietto, Anna; et al., 92e:34026 

McKenna, P. J. see Lazer, Alan C., 92b:34035 and 92m:34082 

Mirenghi, Elvira (with Tucci, Maria) Existence of T-periodic solutions for a class of 
Lagrangian systems. 92b:58196 

Mitropolskii, Yu. A. On an adiabatic invariant. (Russian) 92b:70033a 

— An adiabatic invariant for a double pendulum with slowly changing lengths. (Russian) 
92b:70033b 

Morozov, A. D. On the qualitative behavior of solutions in a neighborhood of the nonlinear 
center of two-dimensional time-periodic systems that are close to Hamiltonian systems. 
(Russian) 92m:34083 

Muiioz-Cobo Gonzalez, José Luis see Sanchis Arnal, Ricardo; et al., (92b:00044) 

Muratori, Simona An application of the separation principle for detecting slow-fast limit 
cycles in a three-dimensional system. 92b:92052 

Muria, Alejandro E. see Del Pino, Manuel A.; et al., 92m:34055 

Nagle, R. Kent (with Sinkala, Zachariah) Semilinear equations at resonance where the 
kernel has dimension two. 92j:34042 

Nieto, Juan J. (with Sree Hari Rao, V.) Periodic solutions for scalar Liénard equations. 
92j:34044 

— see also Lakshmikantham, V.; et al., 92i:34027 

Nistri, Paolo see Macki, Jack W.; et al., 92i:34046 

Nolte, Klaus-Georg Universal appearance of periodic orbits in the Lorenz equations. 
(French summary) 92e:58171 

Okochi, Hiroko An invitation to the anti-periodic problem. 92e:34080 

Peiia Miralles, Juan see Sanchis Arnal, Ricardo; et al., (92b:00044) 

Pérez del Rio, J. Suarez (with Martinez, I.) Evolution from a periodic regime to a chaotic 
one in some second-order recurrences. (Spanish) (see 92g:00024) 

Perko, L. M. Bifurcation of limit cycles: geometric theory. 92¢:34046 

Pliss, V. A. The existence of a hyperbolic integral set of a special periodic system. (Russian) 
92£:58128 

Rabinowitz, Paul H. (with Tanaka, Kazunaga) Some results on connecting orbits for a class 
of Hamiltonian systems. 92e:58075 

— see also Bahri, Abbas, 92k:58223 

Rachinkova, Irena Periodic boundary value problems for third-order differential equations. 
92m:34062 

Rakhmatova, Kh. R. see Loginov, B. V.; et al., 92j:47126 

Ramos, Miguel see Habets, P.; et al., 92m:34057 

Rao, Nagaraj S. (with Roxin, Emilio O.) Controlled growth of competing species. 
92b:92045 

Rivera, William (with Sweet, Daniel) Periodic families of solutions for difference equations 
with a first integral. 92h:39006 

Rotkov, L. Yu. see Glebskaya, O. Yu.; et al., 92m:34080 

Roxin, Emilio O. see Rao, Nagaraj S., 92b:92045 

Salvadori, L. Existence and stability of bifurcating periodic solutions of planar periodic 
systems at resonance. 92j:58087 

— see also Bernfeld, S. R.; et al., 92b:58151 

Samoilenko, A. M. (with Kenzhebaev, K.; Laptinskii, V. N.) Investigation of a periodic 
boundary value problem for nonlinear systems of differential equations. (Russian) 
92b:34022 

Sanchez, Luis see Habets, P.; et al., 92m:34057 

Sanchis Arnal, Ricardo (with Jiménez Olivo, Pedro; Pefia Miralles, Juan; Verdi Martin, 
Gumersindo; Mufioz-Cobo Gonzalez, José Luis) Computation of the periodic solutions 
of the oscillator + KX + a,x + a2x? + a3x) = Acos wt. (Spanish. English summary) (see 
92b:00044) 

Sandqvist, Allan (with Andersen, Kurt Munk) On the number of closed solutions to an 
equation x = f(t, x), where f,.(t,x) >0 (n= 1,2, or 3). 92i:34008 

Schmitt, Klaus see Mawhin, Jean L., 92d:34046 

Serra, Enrico Periodic solutions for some nonlinear differential equations of neutral type. 
92m:34165 

Seshadri, M.S. Perturbative treatment of conservative and nonconservative oscillators. 
92h:34076 

Shen, Yu Yi (with Zhang, Bing Gen) On the periodic solution process to the stochastic 
model of single species. 92k:92020 

Shmuley, I. I. Some well-posed problems for finding periodic solutions of evolution 
equations. (Russian) 92i:34087 

Simeonov, P. S. (with Bainov, Drumi D.) Application of the method of the two-sided 
approximations to the solution of the periodic problem for impulsive differential 
equations. 92j:34027 





34C25 


Simirad, Constantin (with Ursescu, Corneliu) On the boundedness of solutions and 
oscillations of some classes of differential systems. 92m:34079 

Sinkala, Zachariah Existence of T-periodic solutions to second order nonlinear systems at 
resonance. 92k:34026 

— see also Nagle, R. Kent, 92j:34042 

Smith, Hal L. see Hofbauer, Josef; et al., 92m:34103 

Solimini, Sergio see Capozzi, Alberto; et al., 92f:58145 

Sree Hari Rao, V. see Nieto, Juan J., 92j:34044 

Stellmacher, Irene Solutions périodiques 4 longues périodes pour la résonance 4: 1 : 4. 
(English summary) [Periodic solutions with long periods for the resonance 4: | : 4] 
92e:58173 

Struwe, Michael * Variational methods. 92b:49002 

— Existence of periodic solutions of Hamiltonian systems on almost every energy surface. 
92k:58225 

Sugie, Jitsuro Nonexistence of periodic solutions for the FitzHugh nerve system. 
92m:92006 

Sun, Yong Unique solution to periodic boundary value problems. 92h:34060 

— see also Lakshmikantham, V.; et al., 92i:34027 

Sweet, Daniel see Rivera, William, 92h:39006 

Swift, James W. see Field, Mike, 92k:58191 

Talpalaru, Pavel On periodic solutions of nonlinear differential equations in Banach spaces. 
92:34056 

Tanaka, Kazunaga see Rabinowitz, Paul H., 92e:58075 

Tashimov, L. T. see Kunitsyn, A. L., 92b:34057 

Terracini, Susanna see Capozzi, Alberto; et al., 92f:58145 

Timoumi, Mohsen Solutions périodiques de systémes hamiltoniens convexes non coercitifs. 
(English summary) [Periodic solutions of noncoercive convex Hamiltonian systems] 
92m:58112 

Tucci, Maria see Mirenghi, Elvira, 92b:58196 

Ursescu, Corneliu see Simirad, Constantin, 92m:34079 

Vanderbauwhede, André Period-doublings and orbit-bifurcations in symmetric systems. 
924d:58156 

— Periodic and homoclinic orbits in conservative and reversible systems. 92¢:58174 

Verdi Martin, Gumersindo see Sanchis Arnal, Ricardo; et al., (92b:00044) 

Visentin, F. Stability properties of bifurcating periodic solutions of periodic systems. 
92i:34051 

— see also Bernfeld, S. R.; et al., 92b:58151 

Walther, Hans-Otto Bifurcation from a saddle connection in functional-differential 
equations: an approach with inclination lemmas. 92¢:34084 

Wang, Bi Xiang see Fan, Xian Ling, 92i:58150 

Wang, Rong Hua see Hong, Jia Lin; et al. 

Wang, Xian Some cubic Liénard systems with at most one limit cycle. 92k:34036 

Welsh, Stewart C. Sufficient conditions for periodic solutions to a class of second-order 
differential equations. 92g:34026 

Xiao, Ti Jun see Huang, Fa Lun; et al., 92m:47113 

Xu, Qing The homotopy continuation method for solving 27-periodic solutions to Duffing’s 
equation. (Chinese. English summary) 92g:65063 

Yang, Feng (with Freedman, H. I.) Competing predators for a prey in a chemostat model 
with periodic nutrient input. 92k:92021 

Yuldashev, N. N. see Loginov, B. V.; et al., 92j:47126 

Zaghrout, Afaf A.S. On generalized Floquet theory. 92¢:34009 

Zakharov, V. P. see Malyshev, Yu. V., 92¢:34036 

Zanolin, Fabio see Fernandes, M. L. C., 92a:58079 and Capietto, Anna; et al., 92e:34026 

Zecca, Pietro see Macki, Jack W.; et al., 92i:34046 

Zehnder, Eduard see Long, Yi Ming, 92j:58019 

Zhang, Bing Gen see Shen, Yu Yi, 92k:92020 

Zhang, Ping Guang A qualitative analysis of two ecological systems. (Chinese. English 
summary) 92k:92022 

Zhang, Yong Existence of solutions to systems of second-order periodic boundary value 
problems in n dimensions. (Chinese. English summary) 92b:34037 

Zhu, Da Xin A geometric approach to a result of Benci and Giannoni for Hamiltonian 
systems with singular potentials. 92k:58226 


34C27 Almost-periodic solutions 


Chen, Ji Peng Almost periodic solutions of higher-dimensional Liénard systems. 92h:34088 

He, Chong You see Sun, Jian Hua; et al., 92i:34057 

Ivanov, G. G. (with Kravets, T. F.) A remark on the number of almost-periodic solutions of 
first-order differential equations. (Russian. English summary) 92f:34037 

Kravets, T. F. see Ivanov, G. G., 92f:34037 

Manfredi, Bianca More on the quasiperiodic solutions of quasiperiodic dynamical systems. 
(Italian. English summary) 924:34092 

Stanék, Svatoslay Existence theorems for almost periodic solutions of first-order differential 
equations. (Russian and Czech summaries) 92k:34054 

Suleimenov, Zh. S. The existence of a conditionally periodic solution of a quasilinear 
equation in the critical case. (Russian. English and Kazakh summaries) 92g:34050 

Sun, Jian Hua (with He, Chong You) Almost periodic solution for the system X + f(x)x + 
e(t)g(x) = h(t). (Chinese summary) 92i:34057 

Zhao, Jia Xiang Existence and stability of almost periodic solutions in two kinds of 
separable almost periodic equations. 92¢:34057 


Items with secondary classifications in 34C27 


Bibikov, Yu. N. * Mxoroyacrorubie HenMHeftubie Kone6aHua HM ux 6udypKauun. (Russian) 
[Multifrequency nonlinear oscillations and their bifurcations] 92i:34045 

Blot, Joél Une méthode hilbertienne pour les trajectoires presque-périodiques. (English 
summary) [A Hilbert method for the almost periodic trajectories] 92g:58027 

Cazenave, Thierry (with Haraux, Alain; Weissler, Fred B.) Une équation des ondes 
complétement intégrable avec non-linéarité homogéne de degré trois. (English summary) 
[A completely integrable wave equation with a cubic nonlocal nonlinearity] 92g:35137 

Elgondyev, K. K. see Samoilenko, V. Gr., 92m:34094 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 498 


Gerko, A. I. Some existence theorems of Lyapunov stable, Poisson stable, recurrent (in 
the sense of Birkhoff), distal and almost Bohr periodic solutions of multidimensional 
differential equations. (Russian. English and Moldavian summaries) 92h:34094 

Glavan, V. A. On linear almost periodic differential systems with Favard-type conditions. 
(see 92m:49004) 

Glebskaya, O. Yu. (with Korolev, V. 1I.; Rotkov, L. Yu.) Periodic and quasiperiodic 
oscillations in a self-oscillating system with three degrees of freedom. (Russian) 
92m:34080 

Haraux, Alain see Cazenave, Thierry; et al., 92g:35137 

Henriquez, Hernan R. Asymptotically almost-periodic solutions of abstract differential 
equations. 92h:34113 

Korolev, V. I. see Glebskaya, O. Yu.; et al., 92m:34080 

Levi, Mark L. KAM theory for particles in periodic potentials. 92a:58118 

Lin, Fa Xing The existence of almost periodic solutions and periodic solutions. 92b:34050 

Lin, Zhen Sheng Theory of linear systems. 92a:34037 

Liu, Bin Existence of subharmonic solutions of any order for a nonconservative system. 
92i:34055 

Makarov, E. K. A remark on sets of nonregularity of almost periodic linear differential 
systems. (Russian) 92a:34013 

Moser, Jiirgen Quasi-periodic solutions of nonlinear elliptic partial differential equations. 
92g:35024 

Ragimov, M. B. Operator pencils and almost periodicity of bounded solutions of second- 
order differential equations. (Russian) 92h:34117 

Rotkov, L. Yu. see Glebskaya, O. Yu.; et al., 92m:34080 

Samoilenko, V. Gr. (with Elgondyev, K. K.) Periodic and almost periodic solutions of linear 
homogeneous differential equations with impulse action. (Russian) 92m:34094 

Satyanarayan Rao, Aribindi On the Stepanov almost periodic solution of a second-order 
infinitesimal generator differential equation. 92k:34076 

Simirad, Constantin (with Ursescu, Corneliu) On the boundedness of solutions and 
oscillations of some classes of differential systems. 92m:34079 

Ursescu, Corneliu see Simirad, Constantin, 92m:34079 

Varsan, C. Stochastic differential equations and asymptotic almost periodic solutions. 
92:60140 

Weissler, Fred B. see Cazenave, Thierry; et al., 92g:35137 

Zaubov, V.1. Ergodic behavior of macro parameters. (Russian) 92g:34016 


34C28 Other types of “recurrent” solutions 
Zhao, Jia Xiang Remarks on recurrent solutions for linear recurrent systems. 924:34093 


Items with secondary classifications in 34C28 


Gerko, A. I. Some existence theorems of Lyapunov stable, Poisson stable, recurrent (in 
the sense of Birkhoff), distal and almost Bohr periodic solutions of multidimensional 
differential equations. (Russian. English and Moldavian summaries) 92h:34094 

Mikhailov, A.S. (with Poteryaiko, I. Yu.) Some types of dynamical behavior in models of 
reproductive networks. (Russian. English summary) 92k:34043 

Poteryaiko, I. Yu. see Mikhailov, A. S., 92k:34043 

Zubov, V.1. Steady-state oscillations and waves. (Russian) 92d:34096 


34C29 Averaging method 


Fetkan, Michal Discretization in the method of averaging. 92c:34052 

— Asymptotic behavior of stable manifolds. 92d:34094 

Fidlin, A. Ya. Averaging in systems with a variable number of degrees of freedom. (Russian) 
92i:34058 

Nosirov, F. U. Averaging in some special systems in the theory of gyroscopes. (Russian) 
92b:34053 

Pechenev, A. V. Averaging of systems with hierarchy of phase rotation speeds on substan- 
tially large time intervals. (Russian) 92h:34089 

Saenz, A. W. Higher order averaging for nonperiodic systems. 92g:34051 

Trofimchuk, S. I. On averaging impulse systems. (Russian) 92g:34052 


Items with secondary classifications in 34C29 

Bogaevskii, V. N. (with Povzner, A.) * Algebraic methods in nonlinear perturbation 
theory. 92j:34002 

Bosley, D. L. (with Kevorkian, J.) Sustained resonance in very slowly varying oscillatory 
Hamiltonian systems. 92f:34026 

Bountis, Tassos see Mahmoud, G. M., 92g:34046 

Bourland, F. Jay (with Haberman, Richard; Kath, William L.) Averaging methods for the 
phase shift of arbitrarily perturbed strongly nonlinear oscillators with an application to 
capture. 92k:34041 

Bravo Yuste, S. On Duffing oscillators with slowly varying parameters. 92k:70026 

Carbonell, Marc (with Llibre, Jaume) Hopf bifurcation, averaging methods and Liapunov 
quantities for polynomial systems with homogeneous nonlinearities. 92m:34087 

Dumas, H.S. (with Ellison, J. A.; Saenz, A. W.) Axial channeling in perfect crystals, the 
continuum model, and the method of averaging. 92f:82069 

Ellison, J. A. see Dumas, H. S.; et al., 92f:82069 

Fasso, Francesco Lie series method for vector fields and Hamiltonian perturbation theory. 
92¢:58126 

Filatov, O. P. Differential inequalities in stability theory. (Russian) 92k:34013 

Golse, Francois Moyennisation des champs de vecteurs et EDP. [The averaging of vector 
fields and PDEs] 92a:35017 

Gulamov, R. (with Larionov, G. S.) The averaging method in the dynamics of biological 
communities. (Russian) 92m:92013 

Haberman, Richard see Bourland, F. Jay; et al., 92k:34041 

Ivanov, A. E. Partial averaging in a class of differential equations in a non-Banach space. 
(Russian) (see 92e:00011) 

Jiménez Olivo, Pedro see Sanchis Arnal, Ricardo; et al., (92b:00044) 

Kath, William L. see Bourland, F. Jay; et al., 92k:34041 

Kevorkian, J. see Bosley, D. L., 92f:34026 





499 1992 


Kovaleva, A.S. Construction of successive approximations in the perturbation method for 
systems with random coefficients. (Russian) 92k:34073 

Larionov, G.S. see Gulamov, R., 92m:92013 

Llibre, Jaume see Carbonell, Marc, 92m:34087 

Mahmoud, G. M. (with Bountis, Tassos) On synchronized periodic solutions of a 
parametrically forced van der Pol oscillator. 92g:34046 

Memory, Margaret C. (with Ward, James Robert, Jr.) The Conley index and the method of 
averaging. 92f:34024 

Morozov, A. D. On the qualitative behavior of solutions in a neighborhood of the nonlinear 
center of two-dimensional time-periodic systems that are close to Hamiltonian systems. 
(Russian) 92m:34083 

Muiioz-Cobo Gonzalez, José Luis see Sanchis Arnal, Ricardo; et al., (92b:00044) 

Murdock, James A. * Perturbations. 92i:34067 

Mastafoev, Kh. Z. see Samoilenko, A. M., 92g:34099 

Neishtadt, A. I. Probabilistic phenomena in perturbed systems. (Russian) 92d:70020 

Peiia Miralles, Juan see Sanchis Arnal, Ricardo; et al., (92b:00044) 

Povzner, A. see Bogaevskii, V. N., 92j:34002 

Red-Horse, J. R. (with Spanos, Pol-T. D.) A generalization to stochastic averaging in 
random vibration. 92j:70029 

Saenz, A. W. see Dumas, H. S.; et al., 92f:82069 

Samoilenko, A. M. (with Mustafoev, Kh. Z.) On the averaging principle for a class of 
systems of differential equations with deviating argument. (Russian) 92g:34099 

Sanchis Arnal, Ricardo (with Jiménez Olivo, Pedro; Petia Miralles, Juan; Verda Martin, 
Gumersindo; Mufioz-Cobo Gonzalez, José Luis) Computation of the periodic solutions 
of the oscillator % + kx + a,x + a,x? + a3x3 = Acos wt. (Spanish. English summary) (see 
92b:00044) 

Sandrakov, G. V. Evolution of resonances under perturbation of a system with constant 
frequencies. (Russian) 92g:34047 

— Ona problem of H. Poincaré. (Russian) 92h:34084 

Saribaév, M. An error estimate for the method of averaging two-frequency systems. 
(Russian) 92g:34100 

Sidorenko, V. V. On the evolution of the motion of a heavy rigid body under the action of a 
dissipative perturbing moment. II. (Russian) 92m:70010 

Spanos, Pol-T. D. see Red-Horse, J. R., 92j:70029 

Strogatz, Steven H. see Swift, James W.; et al., 92m:34085 

Suleimenov, Zh. S. The existence of a conditionally periodic solution of a quasilinear 
equation in the critical case. (Russian. English and Kazakh summaries) 92g:34050 

Swift, James W. (with Strogatz, Steven H.; Wiesenfeld, Kurt) Averaging of globally coupled 
oscillators. 92m:34085 

Verdi Martin, Gumersindo see Sanchis Arnal, Ricardo; et al., (92b:00044) 

Ward, James Robert, Jr. see Memory, Margaret C., 92f:34024 

Wiesenfeld, Kurt see Swift, James W.; et al., 92m:34085 


34C30 Manifolds of solutions 


Baris, Ya.S. An error estimate for an approximate integral manifold. (Russian) 92j:34092 

Burov, A. A. (with Karapetyan, A. V.) Existence and stability of invariant sets of dynamical 
systems. (Russian) 92k:34055 

Doedel, Eusebius J. see Friedman, Mark J., 92e:34058 

Friedman, Mark J. (with Doedel, Eusebius J.) Numerical computation and continuation of 
invariant manifolds connecting fixed points. 92¢:34058 

Grod, I. N. Conditions for the differentiability of Green functions and invariant manifolds. 
(Russian) 92g:34053 

Gyokér, Solt A line segment of equilibria and its junction by solution curves. 92f:34038 

Hong, Jia Lin On a problem of Hale. (Chinese. English summary) 92a:34044 

IVin, Yu. A. An analogue of the Lyapunov-Perron theorem for essentially nonlinear systems 
of differential equations. (Russian. English summary) 92h:34090 

Irtegov, V.D. Submanifolds of invariant manifolds of stationary motions and their 
properties. (Russian) 92m:34099 

Jacobs, S. J. Existence of a slow manifold in a model system of equations. 92m:34100 

Karapetyan, A. V. see Burov, A. A., 92k:34055 

Knobloch, H.-W. Invariant manifolds for ordinary differential equations. 92m:34101 

Kolesov, A. Yu. (with Mishchenko, E. F.) On the mechanism of the destruction of an 
invariant torus of the van der Pol relaxation system with harmonic action on the slow 
variable. (Russian) 92m:34102 

Kulik, A. N. (with Kulik, V. L.) An estimate for the Green function of linear extensions of 
dynamical systems on a torus. (Russian) 92h:34091 

Kulik, V. L. Sign changing Lyapunov functions and perturbation of invariant tori of 
dynamical systems. 92f:34039 

— The Green function for a problem on invariant tori, and properties of solutions of a 
system that follow from its existence. (Russian) 92g:34054 

— see also Kulik, A. N., 92h:34091 

Mishchenko, E. F. see Kolesov, A. Yu., 92m:34102 

Shen, Jia Qi The approximate invariant manifold of a system of differential equations with 
a small parameter. (Chinese) 

Shpakovich, O. V. Differentiability with respect to the parameter of an exponentially 
dichotomous invariant torus of a quasilinear system of differential equations. (Russian) 
92h:34092 

Tezin, A.M. Concave singularities of multi-dimensional surfaces and bounded integral 
manifolds. (Russian) (see 92a:35004) 

— Two-dimensional and one-dimensional integral manifolds of autonomous systems. 
(Russian) (see 92d:35005) 

Tkachenko, V.I. On the existence of a piecewise-smooth invariant torus of an impulse 
system. (Russian) 92g:34055 


Items with secondary classifications in 34C30 


Aubin, Jean-Pierre (with Da Prato, Giuseppe) Solutions contingentes de l’équation de 
la variété centrale. (English summary) [Contingent solutions to the center manifold 
equation] 92b:34028 


34C Qualitative theory 


34C35 


Baris, Ya.S. (with Lykova, O. B.) Integral manifolds and the reduction principle in stability 
theory. III. (Russian. Ukrainian summary) 92m:34106 

Cox, Stephen M. (with Roberts, A. J.) Centre manifolds of forced dynamical systems. 
92h:58174 

Da Prato, Giuseppe see Aubin, Jean-Pierre, 92b:34028 

Easton, Robert W. Capture orbits and Mel‘nikov integrals in the planar three-body problem. 
92m:70015 

Gu, Zhong-Mei A method for solving singularly perturbed systems containing singuiar 
manifolds. 92j:34111 

Kalitin, B.S. Development of Lyapunov’s theorem on stability. (Russian) 92j:34103 

Karydas, Nicholas (with Schinas, John) The integral manifold theorem for a discrete 
system. (Serbo-Croatian summary) 92m:39007 

Kedyk, T. V. Invariant manifolds of hybrid quasimonotone extensions. (Russian. English 
summary) 92m:34105 

Kirchgraber, U. (with Lasagni, F.; Nipp, K.; Stoffer, Daniel) On the application of invariant 
manifold theory, in particular to numerical analysis. 92h:58143 

Kulik, V. L. see Mitropol’skii, Yu. A.; et al., 92m:34001 

Lasagni, F. see Kirchgraber, U.; et al., 92h:58143 

Lykova, O. B. see Baris, Ya. S., 92m:34106 

Mitropol’skii, Yu. A. (with Samoilenko, A. M.; Kulik, V. L.) * Viccacqoseama MXOTOMHH 
JIMHCHHBIX CHCTEM ZuepeHuHaJIbHbIX ypaBHeHHA C 10 
(Russian) [Studies in the dichotomy of linear systems of differential equations by: means 
of Lyapunov functions] 92m:34001 

Nipp, K. see Kirchgraber, U.; et al., 92h:58143 

Pego, Robert L. Stabilization in a gradient system with a conservation law. 92g:34059 

Pliss, V. A. The existence of a hyperbolic integral set of a special periodic system. (Russian) 
92f:58128 

Polatik, Peter Existence of unstable sets for invariant sets in compact semiflows. Applica- 
tions in order-preserving semiflows. 92f:58151 

Roberts, A. J. see Cox, Stephen M., 92h:58174 

Samoilenko, A. M. see Mitropol’skii, Yu. A.; et al., 92m:34001 

Saribaév, M. Integral manifolds of multifrequency oscillatory systems. (Russian) 
92m:34084 

Scarpellini, Bruno Center manifolds of infinite dimensions. I. Main results and applications. 
92i:58170 

— Center manifolds of infinite dimensions. II. Proofs of the main results. 92i:58171 

Schinas, John see Karydas, Nicholas, 92m:39007 

Shoshitaishvili, A. N. Singularities for projections of integral manifolds with applications to 
control and observation problems. 92g:93034 

Stanzhitskii, A. N. Invariant tori of systems with random perturbation. (Russian) 
92£:34053 

Stoffer, Daniel see Kirchgraber, U.; et al., 92h:58143 

Vyshenskaya, O. V. On the invariant set of a dynamical system. (Russian) 92i:34014 

Zhanbusinova, V. Kh. A condition for C’'-differentiability of an invariant torus of a 
countable system of differential-difference equations. (Russian) 92h:34155 





34C35 Dynamical systems [see also 54H20, 58Fxx, 70-XX] 


Burov, A. A. (with Subkhankulov, G. I.) Some difference schemes for equations of 
dynamics that have first integrals. (Russian) 92h:34093 

Gerko, A. I. Some existence theorems of Lyapunov stable, Poisson stable, recurrent (in 
the sense of Birkhoff), distal and almost Bohr periodic solutions of multidimensional 
differential equations. (Russian. English and Moldavian summaries) 92h:34094 

Hofbauer, Josef (with Mallet-Paret, J.; Smith, Hal L.) Stable periodic solutions for the 
hypercycle systems. 92m:34103 

Kulik, V. L. see Samoilenko, A. M., 92d:34095 

Mallet-Paret, J. see Hofbauer, Josef; et al., 92m:34103 

Mierczytiski, Janusz A class of strongly cooperative systems without compactness. 
92g:34056 

Nadirashvili, N.S. Les systemes dynamiques uniformément monotones. (English summary) 
(Uniformly monotone dynamical systems] 92g:34057 

Othmer, Hans G. see Watanabe, Masaji, 92j:34094 

Samoilenko, A. M. (with Kulik, V. L.) Linear extensions of dynamical systems on a torus, 
and Green functions. (Russian. Ukrainian summary) 924:34095 

Slavkova, M. Ya. Singular curves in resonance solutions of two-frequency dynamical 
systems. (Bulgarian. English and Russian summaries) 

Smith, Hal L. see Hofbauer, Josef; et al., 92m:34103 

Subkhankulov, G.I. see Burov, A. A., 92h:34093 

Waltman, Paul A brief survey of persistence in dynamical systems. 92j:34093 

Watanabe, Masaji (with Othmer, Hans G.) Persistence of invariant tori in systems of 
coupled oscillators. II. Degenerate problems. 92j:34094 

Wyderka, Zdzislaw On generalized dynamical systems derived from linear differential 
equations with measures as coefficients. 92h:34095 

Yu, Shu Xiang Applications of the theory of isolating blocks in the planar qualitative theory 
of differential equations. (Chinese) 92¢:34059 


Items with secondary classifications in 34C35 

Afraimovich, V.S. see Aranson, I. S.; et al., 92i:58112 

Akin, Ethan The differential geometry of population genetics and evolutionary games. 
92h:92006 

Alexander, James C. (with Cai, Da Yong) On the dynamics of bursting systems. 92c:92010 

Amemiya, Takashi On the global asymptotic stability of nonlinear discrete time systems 
depending on several past steps. 92g:54052 

(Andersson, Ake E.) see Zhang, Wei-Bin, 92b:90058 

Aranson, I. S. (with Afraimovich, V. S.; Rabinovich, M. I.) *& Multidimensionai strange 
attractors and turbulence. 92i:58112 

Aranson, S. Kh. Topological invariants of vector fields on the disk on a plane with limit sets 
of Cantor type. (Russian) 92e:58165 

Benci, Vieri_ A new approach to the Morse-Conley theory and some applications. 92k:58043 

Billeke G., J. see Burgos, H., 92d:34060 





34C35 


Borne, P. (with Richard, J.-P.) Local and global stability of attractors by use of vector 
norms. 92j:34106 

Bronshtein, I. U. (with Chernii, V. F.) A criterion for the existence of a continuous 
invariant section of an affine extension. (Russian. Ukrainian summary) 92b:58202 

Burgos, H. (with Billeke G., J.) Stability problems of perturbed Liénard equations by 
polynomials in 0/dy direction. (Spanish) 92d:34060 

Byrnes, Christopher I. (with Lindquist, A; McGregor, T.) Predictability and unpredictabil- 
ity in Kalman filtering. 92c:93075 

Cai, Da Yong see Alexander, James C., 92c:92010 

Capitiski, Marek Hopf equation for some nonlinear differential delay equation and 
invariant for corresponding dy: ical system. 92m:34148 

Cheban, D. N. The structure of the Levinson center of a dissipative dynamical system 
with a condition for hyperbolicity on the closure of a set of recurrent motions. (Russian) 
924:58159 

Chernii, V. F. see Bronshtein, I. U., 92b:58202 

Chirkova, I. A. Lyapunov-stable points of discontinuous dispersive dynamical systems. 
(Russian) 

Ciesielski, Krzysztof The characterization of the cut of funnel in a planar semidynamical 
system. 92¢:54050 

— Dynamical systems created from semidynamical systems. 92g:54054 

— Kneser type theorems and Baire properties for planar semidynamical systems. 92b:54081 

Coomes, Brian (with Zurkowski, Victor) Linearization of polynomial flows and spectra of 
derivations. 92m:34002 

Debussche, Arnaud (with Temam, Roger) Inertial manifolds and slow manifolds. 
92£:58161 

Demengel, Francoise (with Ghidaglia, Jean-Michel) Some remarks on the smoothness of 
inertial manifolds. 92f:58162 

Eden, A. (with Foias, Ciprian; Temam, Roger) Local and global Lyapunov exponents. 
92d:58118 

Elaydi, Saber (with Hajek, Otomar) Exponential dichotomy and trichotomy of nonlinear 
differential equations. 92a:34045 

Elkhader, A. S. Global stability in a synthrophic chain model. 924:92029 

Ershov, S. V. Lyapunov exponents are measure-average in a spin space. (Russian. English 
summary) 92f:58098 

Faibusovich, L. E. Dynamical systems which solve optimization problems with linear 
constraints. 92i:90054 

— Hamiltonian structure of dynamical systems which solve linear programming problems. 
92i:90055 

Feng, Zhao Shu see Zhu, Si Ming; et al., 92k:54054 

Fila, Marek (with Marko, Franti8ek) A remark on a flow with a homoclinic trajectory. 
(Russian and Slovak summaries) 92b:58167 

Flashner, Henryk see Guttalu, Ramesh S., 92a:34032 

Foias, Ciprian see Eden, A.; et al., 92d:58118 

Fokkink, Robbert J. There are uncountably many homeomorphism types of orbits in flows. 
92b:54082 

Freedman, H.1I. see Wa, Jian Hong, 92j:34141 

Ghidaglia, Jean-Michel see Demengel, Francoise, 92f:58162 

Giovannini, Franco (with Politi, Antonio) Homoclinic tangencies, generating partitions and 
curvature of invariant manifolds. 92d:58119 

Golse, Francois Moyennisation des champs de vecteurs et EDP. [The averaging of vector 
fields and PDEs] 92a:35017 

Gonchenko, S. V. On a two-parameter family of systems close to a system with a nonrough 
homoclinic curve. I [translation of Methods of the qualitative theory of differential 
equations (Russian), 55-72, Gor'kov. Gos. Univ., Gorki, 1985]. 92b:58160 

Grassberger, Peter Information and complexity in dy ical systems. (see 
92£:00011) 

Grod, I. N. Conditions for the differentiability of Green functions and invariant manifolds. 
(Russian) 92g:34053 

Guttalu, Ramesh S. (with Flashner, Henryk) Analysis of dynamical systems by truncated 
point mappings and cell mapping. 92a:34032 

Hadeler, K. P. Traveling fronts in parabolic and hyperbolic equations. 92g:35096 

Hajek, Otomar see Elaydi, Saber, 92a:34045 

Hao, Bai Lin Symbolic dynamics and characterization of complexity. 92k:58075 

Haraux, Alain * Systémes dynamiques dissipatifs et applications. (French) [Dissipative 
dynamical systems and applications] 92b:35002 

Hirsch, Morris W. Systems of differential equations that are competitive or cooperative. V. 
Convergence in 3-dimensional systems. 92h:58110 

— Systems of differential equations that are competitive or cooperative. IV. Structural 
stability in three-dimensional systems. 92h:58109 

Hofbauer, Josef (with Sigmund, Karl) Permanence for replicator equations. (see 
92b:00038) 

— An index theorem for dissipative semiflows. 92b:58203 

Hong, Jia Lin (with Wang, Rong Hua) Existence of periodic motions in limit sets. 
(Chinese. English summary) 

Hu, Shi Geng Type K monotone semiflows generated by a class of functional-differential 
equations. (Chinese) 92i:34095 

Hudson, John L. see Rissler, Otto E.; et al., 92b:58148 

Jiang, Ji Fa Strongly monotone flows with positive Lyapunov stability. (Chinese) 
92e:34061 

(Jones, Christopher K. R. T.) see Dynamics reported: expositions in dynamical systems, 
92k:58002 

Kalitin, B.S. Development of Lyapunov’s theorem on stability. (Russian) 92j:34103 

Karapetyan, A. V. Stability of sets of nonisolated stationary motions. (Russian) 92f:34045 

Kedyk, T. V. Invariant manifolds of hybrid quasimonotone extensions. (Russian. English 
summary) 92m:34105 

— (with Obolenskii, A. Yu.) On the stability with respect to two measures of hybrid 
quasimonotone extensions. (Russian. English summary) 92m:34184 

Kimoto, Masahide see Mukougawa, Hitoshi; et al., 92e:86001 

(Kirchgraber, U.) see Dynamics reported: expositions in dynamical systems, 92k:58002 

Kiapyta, Janina A classification of dynamical systems. 92i:54043 











ORDINARY DIFFERENTIAL EQUATIONS 


Klein, Michael see Réssler, Otto E.; et al., 92b:58148 

Kulik, A. N. (with Kulik, V. L.) An estimate for the Green function of linear extensions of 
dynamical systems on a torus. (Russian) 92h:34091 

Kulik, V. L. see Kulik, A. N., 92h:34091 and Mitropol'skii, Yu. A.; et al., 92m:34001 

Lasota, Andrzej (with Tyrcha, Joanna) On the strong convergence to equilibrium for 
randomly perturbed dynamical systems. 92i:58159 

Latushkin, Yu. D. (with Stépin, A.M.) Weighted shift operators and linear extensions of 
dynamical systems. (Russian) 92k:47062 

Leonov, G. A. An estimate for the Hausdorff dimension of the attractors of dynamical 
systems. (Russian) 92:58102 

Leontovich, E. A. (with Tareev, V. P.) On the problem of splitting a complex separatrix loop 
by “field rotation”. (Russian) 92b:34015 

Levakov, A. A. Stability of I-systems. (Russian) 92k:54051 

Lindquist, A. see Byrnes, Christopher I.; et al., 92c:93075 

Makeev, N.G. The structure of the first return function in a neighborhood of a separatrix 
loop of a complex saddle. (Russian) 92i:34039 

Marko, Frantisek see Fila, Marek, 92b:58167 

McCord, Christopher (with Mischaikow, Konstantin) Connected simple systems, transition 
matrices, and heteroclinic bifurcations. 92k:58193 

McGregor, T. see Byrnes. Christopher I.; et al., 92c:93075 

Miklavéit, Milan A sharp condition for existence of an inertial manifold. 92h:34123 

Mira, Christian see Réssler, Otto E.; et al., 92b:58148 

Mischaikow, Konstantin see McCord, Christopher, 92k:58193 

Mitropol'skii, Yu. A. (with Samoilenko, A. M.; Kulik, V. L.) * MAccnenosanua quxoTOMHH 
JIMHCMHBIX CHCTEM udepeHMasIbHbIX ypaBHeHHA C 10 byHkuHh Jlany 
(Russian) [Studies in the dichotomy of linear systems of differential equations by means 
of Lyapunov functions] 92m:34001 

Mukougawa, Hitoshi (with Kimoto, Masahide; Yoden, Shigeo) A relationship between local 
error growth and quasistationary states: case study in the Lorenz system. 92e:86001 

Nieuwenhuis, Johannes W. see Willems, Jan C., 92d:93054 

Obolenskii, A. Yu. see Kedyk, T. V., 92m:34184 

Osipenko, G.S. Testing the transversality condition by the methods of symbolic dynamics. 
(Russian) 92b:58122 

Ovsyannikov, I. M. (with Shil/nikov, L. P.) Systems with a homoclinic curve of a multidi- 
mensional saddle-focus, and spiral chaos. (Russian) 92k:58181 

Pelczar, Andrzej Remarks on limit sets in generalized semisystems. 92j:54058 

Pilyugin, S. Yu. The space of dynamical systems with C°-topology. (Russian) 92b:58123 

— * Introduction to structurally stable systems of differential equations. 92k:58145 

Pliss, V. A. The existence of a hyperbolic integral set of a special periodic system. (Russian) 
92f:58128 

— (with Sell, George R.) Perturbations of attractors of differential equations. 92f:58094 

— The nonwandering set of a special system of differential equations. 92f:58148 

Polatik, Peter Existence of unstable sets for invariant sets in compact semiflows. Applica- 
tions in order-preserving semiflows. 92:58151 

Politi, Antonio see Giovannini, Franco, 92d:58119 

Rabinovich, M.I. see Aranson, I. S.; et al., 92i:58112 

Reineck, James F. A connection matrix analysis of ecological models. 92j:92020 

Richard, J.-P. see Borne, P., 92j:34106 

Réssler, Otto E. (with Hudson, John L.; Klein, Michael; Mira, Christian) Self-similar basin 
boundary in a continuous system. 92b:58148 

Samoilenko, A.M. see Mitropol’skii, Yu. A.; et al., 92m:34001 

Sanz-Serna, J. M. The relations between numerical analysis and dynamical systems: a 
perspective. (Spanish. English summary) (see 92m:00052) 

Sell, George R. see Pliss, V. A., 92f:58094 . 

Serra, Enrico (with Tarallo, Massimo) A new proof of the Poincaré-Bendixson theorem. 
92b:58192 

Shil/nikov, L. P. see Ovsyannikov, I. M., 92k:58181 

Sigmund, Karl see Hofbauer, Josef, (92b:00038) 

Sinai, Ya. G. Finite-dimensional randomness. (Russian) 92h:58118 

Smith, Hal L. (with Tang, Betty; Waltman, Paul) Competition in an n-vessel gradostat. 
92m:92016 

— (with Thieme, Horst R.) Convergence for strongly order-preserving semiflows. 
92m:34145 

Stépin, A.M. see Latushkin, Yu. D., 92k:47062 

Szmolyan, P. Transversal heteroclinic and homoclinic orbits in singular perturbation 
problems. 92e:58185 

Takat, Peter Large-time behavior of a time-periodic cooperative system of reaction- 
diffusion equations depending on parameters. 92j:35091 

Tang, Betty see Smith, Hal L.; et al., 92m:92016 

Tarallo, Massimo see Serra, Enrico, 92b:58192 

Tareev, V. P. see Leontovich, E. A., 92b:34015 

Temam, Roger see Eden, A.; et al., 92d:58118 and Debussche, Arnaud, 92f:58161 

Terp, Christian Flow-invariant sets. 92h:34097 

Thieme, Horst R. see Smith, Hal L., 92m:34145 

Tyrcha, Joanna see Lasota, Andrzej, 92i:58159 

Uezu, Tatsuya Topological structure in flow systems. 92f:58124 

Urmanchev, V. I. Dynamical systems with impulse action on a sphere. (Russian) 92d:54057 

Vul, E. B. Some numerical studies of dynamical systems. 92e:58157 

Vyshenskaya, O. V. On the invariant set of a dynamical system. (Russian) 92i:34014 

Walther, Hans-Otto Bifurcation from a saddle connection in functional-differential 
equations: an approach with inclination lemmas. 92¢:34084 

— see also Dynamics reported: expositions in dynamical systems, 92k:58002 

Waltman, Paul see Smith, Hal L.; et al., 92m:92016 

Wang, Rong Hua see Hong, Jia Lin; et al. 

Wedig, W. V. Lyapunov exponents and invariant measures of dynamic systems. 924:58112 

Weiland, Siep (with Willems, Jan C.) Dissipative dynamical systems in a behavioral 
context. 92a:93005 

Wiggins, Stephen * Introduction to applied nonlinear dynamical systems and chaos. 
92a:58041 








501 1992 


Willems, Jan C. (with Nieuwenhuis, Johannes W.) Continuity of latent variable models. 
924:93054 

— see also Weiland, Siep, 92a:93005 

Wu, Jian Hong (with Freedman, H. I.) Monotone semiflows generated by neutral 
functional-differential equations with application to compartmental systems. 92j:34141 

Ye, Wei Yin see Ye, Yan Qian; et al., 92k:58222 

Ye, Yan Qian (with Ye, Wei Yin) Triangulation and fundamental triangles of the phase- 
portraits of a quadratic differential system. 92k:58222 

Yoden, Shigeo see Mukougawa, Hitoshi; et al., 92e:86001 

Zak, Michail Spontaneously activated systems in neurodynamics. 92b:92013 

Zhang, Wei-Bin * Synergetic economics. 92b:90058 

Zhu, Si Ming (with Feng, Zhao Shu) Bifurcation for invariant sets of dynamical systems in 
metric spaces. (Chinese) 92k:54054 

Zarkowski, Victor see Coomes, Brian, 92m:34002 


Items listed otherwise than by author 


Dynamics reported: expositions in dynamical systems * Dynamics reported: expositions in 
dynamical systems. 92k:58002 


34C37 Homoclinic and heteroclinic solutions [see also 58F 15] 


Byatt-Smith, John G. On the existence of homoclinic and heteroclinic orbits for differential 
equations with a small parameter. 92h:34096 

Freire Macias, Emilio (with Ponce, Enrique; Rodriguez-Luis, Alejandro J.) A continuation 
method for homoclinic orbits in two-parameter plane autonomous systems. (Spanish. 
English summary) (see 92b:00044) 

Holmes, Philip see Stone, Emily F., 92b:34054 

Ponce, Enrique see Freire Macias, Emilio; et al., (92b:00044) 

Rodriguez-Luis, Alejandro J. see Freire Macias, Emilio; et al., (92b:00044) 

Stone, Emily F. (with Holmes, Philip) Unstable fixed points, heteroclinic cycles and 
exponential tails in turbulence production. 92b:34054 


Items with secondary classifications in 34C37 

Armbruster, Dieter (with Chossat, Pascal) Heteroclinic orbits in a spherically invariant 
system. 92g:58092 

Battelli, Flaviano (with Lazzari, Claudio) Exponential dichotomies, heteroclinic orbits, and 
Melnikov functions. 92d:58177 

Benci, Vieri (with Giannoni, Fabio) Homoclinic orbits on compact manifolds. 92h:58150 

Bruhn, B. Homoclinic points in higher-dimensional dynamical systems. 92c:58100 

Campbell, Sue Ann (with Holmes, Philip) Bifurcation from O(2) symmetric heteroclinic 
cycles with three interacting modes. 92i:58132 

Champneys, Alan R. Homoclinic orbits in the dynamics of articulated pipes conveying fluid. 
92:73042 

Chang, Yi-Hua (with Segur, Harvey) An asymptotic symmetry of the rapidly forced 
pendulum. 92h:34074 

Chentsova, N. N. The discovery of Smale horseshoe for dynamical system generated by 
autogenerator with tunnel diode. 92f:58106 

Chossat, Pascal see Armbruster, Dieter, 92g:58092 

Chow, Shui-Nee (with Yamashita, Masahiro) Geometry of the Mel’nikov vector. 
92h:58173 

Chua, Leon O. see Komuro, Motomasa; et al., 92j:58073 

Clerc, René-Louis (with Hartmann, Christian; Razafimandimby, Boniface) Propriétés 
analytiques de champs de vecteurs équivariants de R2. (English summary) [Analytic 
properties for R?-equivariant vector fields] 92a:58106 

Contopoulos, G. The generation of spiral characteristics. 92f:70004 

Delshams, Amadeo (with Martinez-Seara, Ma. Teresa) On the existence of homoclinic 
orbits in a family of vector fields near an equilibrium point. 92¢:58093 

Doedel, Eusebius J. see Friedman, Mark J., 92e:34058 

Easton, Robert W. Capture orbits and Mel/nikov integrals in the planar three-body problem. 
92m:70015 

Fetkan, Michal On the existence of homoclinic points. 92k:58190 

Field, Mike (with Swift, James W.) Stationary bifurcation to limit cycles and heteroclinic 
cycles. 92k:58191 

Friedman, Mark J. (with Doedel, Eusebius J.) Numerical computation and continuation of 
invariant manifolds connecting fixed points. 92¢:34058 

Giannoni, Fabio see Benci, Vieri, 92h:58150 

Hartmann, Christian see Clerc, René-Louis; et al., 92a:58106 

Henderson, M. E. (with Levi, Mark L.; Odeh, F.) The geometry and computation of the 
dynamics of coupled pendula. 92g:34045 

Holmes, Philip see Campbell, Sue Ann, 92i:58132 

Hotta, A. see Komuro, Motomasa; et al., 92j:58073 

Hou, Dian Hui see Liu, Zeng Rong; et al., 92i:58123 

Ida, T. see Tokunaga, R.; et al., 92m:58100 

Komuro, Motomasa Periodic and homoclinic orbits in continuous piecewise linear vector 
fields. 92g:58106 

— (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) Global bifurcation 
analysis of the double scroll circuit. 92j:58073 

— (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) Errata: “Global 
bifurcation analysis of the double scroll circuit” (Internat. J. Bifur. Chaos Appl. Sci. 
Engrg. 1 (1991), no. 1, 139-182; MR 92j:58073}. 

Kozlov, Valerii V. (with Neishtadt, A. I.) Realization of holonomic constraints. (Russian) 
92b:70014 

Lazzari, Claudio see Battelli, Flaviano, 924:58177 

Levi, Mark L. see Henderson, M. E.; et al., 92g:34045 

Liang, Zhao Jun Several problems on the global analysis of polynomial differential systems. 
(Chinese summary) 92m:58117 

Liu, Zeng Rong (with Xu, Zheng Fan; Wang, Qi Gao; Hou, Dian Hui) Completed and 
incompleted stochastic webs. (Chinese. English summary) 92i:58123 

Martinez-Seara, Ma. Teresa see Delshams, Amadeo, 92c:58093 


34C Qualitative theory 


34C€99 


Matsumoto, Takashi see Komuro, Motomassa; et al., 92j:58073; Tokunaga, R.; et al., 
92m:58100 and Komuro, Motomasa; et al. 

McRobie, F. A. (with Thompson, J. M. T.) Lobe dynamics and the escape from a potential 
well. 92j:58065 

Melbourne, Ian An example of a nonasymptotically stable attractor. 92f:58093 

Miya, K. see Tokunaga, R.; et al., 92m:58100 

Neishtadt, A.I. see Kozlov, Valerii V., 92b:70014 

Odeh, F. see Henderson, M. E.; et al., 92g¢:34045 

Ovsyannikov, I. M. (with Shil‘nikov, L. P.) Systems with a homoclinic curve of a multidi- 
mensional saddle-focus, and spiral chaos. (Russian) 92k:58181 

Palmer, Kenneth J. Existence of transversal homoclinic points in a degenerate case. 
92k:58238 

Rabinowitz, Paul H. A variational approach to heteroclinic orbits for a class of Hamiltonian 
systems. 92f:58034 

Razafimandimby, Boniface see Clerc, René-Louis; et al., 92a:58106 

Segur, Harvey see Chang, Yi-Hua, 92h:34074 

Séré, Eric Existence of infinitely many homoclinic orbits in Hamiltonian systems. 
92k:58201 

Shen, Bo Qian The problem of the existence of limit cycles and separatrix cycles of cubic 
curves in quadratic systems. (Chinese) 92k:34033 

Shil/nikov, L. P. see Ovsyannikov, I. M., 92k:58181 

Swift, James W. see Field, Mike, 92k:58191 

Szmolyan, P. Tr Ih linic and homoclinic orbits in singular perturbation 
problems. 92¢:58185 

— Analysis of a singularly perturbed traveling wave problem. 92m:82141 

Thompson, J. M.T. see McRobie, F. A., 92j:58065 

Tokunaga, R. (with Matsumoto, Takashi; Ida, T.; Miya, K.) Homoclinic linkage in the 
double scroll circuit and the cusp-constrained circuit. 92m:58100 

— see also Komuro, Motomasa; et al., 92j:58073 

Vanderbauwhede, André Periodic and homoclinic orbits in conservative and reversible 
systems. 92e:58174 

Wang, Qi Gao see Liu, Zeng Rong; et al., 92i:58123 

Xu, Zheng Fan see Liu, Zeng Rong; et al., 92i:58123 

Yamashita, Masahiro see Chow, Shui-Nee, 92h:58173 





34C40 Equations and systems on manifolds [See mainly 58F xx, 
58Gxx] 


Items with secondary classifications in 34C40 

Dieci, Luca (with Lorenz, Jens; Russell, Robert D.) Numerical calculation of invariant tori. 
92b:65061 

Jaroslawski, Robert (with Koschany, Artur; Obermair, Gustav M.) Transformation 
properties of the Lyapunov exponent of dynamical systems under diffeomorphisms. 
92b:58118 

Koschany, Artur see Jaroslawski, Robert; et al., 92b:58118 

Lorenz, Jens see Dieci, Luca; et al., 92b:65061 

Obermair, Gustav M. see Jaroslawski, Robert; et al., 92b:58118 

Osipenko, G.S. Testing the transversality condition by the methods of symbolic dynamics. 
(Russian) 92b:58122 

Pliss, V. A. The nonwandering set of a special system of differential equations. 92f:58148 

Russell, Robert D. see Dieci, Luca; et al., 92b:65061 

Yatskin, N. I. Almost reducibility of linear differential equations on manifolds. (Russian) 
92e:58103 


34C45 Method of integral manifolds 


Items with secondary classifications in 34C45 


Baris, Ya. S. An error estimate for an approximate integral manifold. (Russian) 92j:34092 

Knobloch, H.-W. Invariant manifolds for ordinary differential equations. 92m:34101 

Kooij, Robert E. (with Reyn, J. W.) On the phase-plane analysis of self-similar gravity 
currents. 92a:76034 

Othmer, Hans G. see Watanabe, Masaji, 92j:34094 

Pierre, Christophe see Shaw, Steven W., 92j:34078 

Reyn, J. W. see Kooij, Robert E., 92a:76034 

Shaw, Steven W. (with Pierre, Christophe) Nonlinear normal modes and invariant 
manifolds. 92j:34078 

Watanabe, Masaji (with Othmer, Hans G.) Persistence of invariant tori in systems of 
coupled oscillators. II. Degenerate problems. 92j:34094 


34C50 Method of accelerated convergence 


Items with secondary classifications in 34C50 


Suleimenov, Zh. S. The existence of a conditionally periodic solution of a quasilinear 
equation in the critical case. (Russian. English and Kazakh summaries) 92g:34050 


34C99 None of the above, but in this section 


Alymkulov, E. D.-A. Aggregation of systems of ordinary differential equations, and stability 
problems. (Russian) 92f:34040 

Andreev, A. F. Justification of Frommer’s method for systems of class C®. (Russian) 
92k:34056 

Bebbouchi, Rachid Problémes physiques du troisitme ordre. [Third-order physical 
problems] 92g:34058 

Brands, J.J. A.M. Tubes. (see 92i:93006) 

Elaydi, Saber (with Hajek, Otomar) Exponential dichotomy and trichotomy of nonlinear 
differential equations. 92a:34045 

Fu, Tian Wu A qualitative analysis for a class of differential ecosystems with density 
constraints. (Chinese) 





34C99 


Hajek, Otomar see Elaydi, Saber, 92a:34045 

Hu, Gang Distribution and stability of Mel/nikov orbits. (Chinese. English summary) 
92m:34104 

Kedyk, T. V. Invariant manifolds of hybrid quasimonotone extensions. (Russian. English 
summary) 92m:34105 

Pavlikovd, Elena A remark on higher monotonicity properties of certain Sturm-Liouville 
functions. (Slovak. English, German and Russian summaries) 92¢:34060 

Tang, Bao Rong Global behavior of a class of cooperative systems. (Chinese) 92i:34059 

Terp, Christian Flow-invariant sets. 92h:34097 

Veremenyuk, V. V. The existence of the rotation number of the equation x = A(t, x) with a 
right-hand side that is periodic in x and almost periodic in t. (Russian) 92h:34098 

Volkov, S. V. Construction of dynamical systems in three-dimensional space. (Russian) 
92k:34057 

Zubov, V.I. Steady-state oscillations and waves. (Russian) 924:34096 


Items with secondary classifications in 34C99 

Albano, A. M. (with Passamante, A.; Farrell, Mary Eileen) Using higher-order correlations 
to define an embedding window. 92i:58111 

Arriola, E.R. (with Zarzo, A.; Dehesa, J. S.) Spectral properties of the biconfluent Heun 
differential equation. 92i:34033 

Arrowsmith, D. K. The mathematics of chaos. (see 92h:00013) 

Athorne, Chris Polyhedral Ermakov systems. 92e:34011 

— On generalized Ermakov systems. 92j:58030 

Bacry, Henri Comment on: “The relationship between the symmetries of and the existence 
of conserved vectors for the equation ¥ + f(r)L + g(r)r=0” [J. Phys. A 23 (1990), no. 13, 
2765-2774; MR 91h:34070] by P. G. L. Leach and V. M. Gorringe. 92j:70016 

Bainov, Drumi D. see Simeonov, P. S., 92j:34026 

Baumann, Gerd (with Freyberger, M.) Generalized symmetries and conserved quantities of 
the Lotka-Volterra model. 92g:34008 

Bittanti, Sergio (with Colaneri, Patrizio) A monotonicity result for the periodic Riccati 
equation. 924:93059 

Blais, Francois Fleuves critiques. (English summary) [Critical rivers] 92k:58220 

— Théoréme d’existence de fleuves. (English summary) [Existence theorem for rivers] 
92h:58162 

Bohl, Erich A boundary layer phenomenon for linear systems with a rank deficient matrix. 
(German and Russian summaries) 92h:92005 

Bronshtein, I. U. Jet transversality and conditions for the existence of a smooth Green- 
Samoilenko function. (Russian) 92f:58007 

Busenberg, Stavros N. (with Cooke, Kenneth L.; Thieme, Horst R.) Demographic change 
and persistence of HIV/AIDS in a heterogeneous population. 92j:92016 

Butkovskii, A.G. * Phase portraits of control dynamical systems. 92j:93003 

Cantwell, B. J. see Chong, M. S.; et al., 92b:76037 

Capelo, Antonio C. * Modelli matematici in biologia. (Italian) [Mathematical models in 
biology] 92i:92001 

Celletti, Alessandra (with Chierchia, Luigi) Invariant curves for area-preserving twist maps 
far from integrable. 92i:58154 

Chappell, Michael J. (with Godfrey, Keith R.) Structural identifiability of the parameters 
of a nonlinear batch reactor model. 92j:92014 

Chen, Shao Zhu Asymptotic integrations of nonoscillatory second order differential 
equations. 92a:34057 

Chernikov, Aleksandr Ant ich see Zaslavskii, G. M.; et al., 92m:58092 

Chierchia, Luigi see Celletti, Alessandra, 92i:58154 

Chong, M.S. (with Perry, A. E.; Cantwell, B. J.) A general classification of three- 
dimensional flow fields. 92b:76037 

Colaneri, Patrizio see Bittanti, Sergio, 92d:93059 

Cooke, Kenneth L. see Busenberg, Stavros N.; et al., 92j:92016 

Dehesa, J.S. see Arriola, E. R.; et al., 92i1:34033 

Diacu, Florin Nicolae Tame and chaotic behavior in the planar isosceles 3-body problem. 
92m:70014 

Diekmann, Odo (with Kretzschmar, Mirjam) Patterns in the effects of infectious diseases 
on population growth. 92m:92012 

Doshita, Shuji see Nishida, Toyoaki, 92f:65094 

van den Driessche, P. see Hethcote, H. W., 92c:92028 

Ercolani, Nicholas M. (with Siggia, Eric D.) Painlevé property and integrability. 92c:58031 

Falko, N.S. On the non-almost reducible Hill equation with almost-periodic coefficients. 
(Russian. English and Moldavian summaries) 92h:34020 

Farrell, Mary Eileen see Albano, A. M.; et al., 92i:58111 

Fordy, Allan P. The Hénon-Heiles system revisited. 92i:58075 

Freedman, H.I. see Yang, Feng, 92k:92021 

Freyberger, M. see Baumann, Gerd, 92g:34008 

Futak, Jan On the asymptotic behaviour of the solutions of operator-differential equations. 
92g:34079 

Godfrey, Keith R. see Chappell, Michael J., 92j:92014 

(Gorringe, V.M.) see Bacry, Henri, 92j:70016 

Goryachenko, V. D. (with Privalov, A. V.; Shilov, B. N.) Investigation on the phase plane of 
a nonlinear model of the dynamics of a reactor. (Russian) 92m:82155 

Griffiths, D. F. see Yee, H. C.; et al., 92i:76075 

Hadeler, K. P. Modeling AIDS in structured populations. (French summary) 92c:92013 

Hankerson, Darrel (with Henderson, Johnny) Positive solutions and extremal points for 
differential equations. 92a:34019 

Henderson, Johnny see Hankerson, Darrel, 92a:34019 

Hethcote, H. W. (with van den Driessche, P.) Some epidemiological models with nonlinear 
incidence. 92¢:92028 

Hoang Hi’u-Du’d’ng (with Nguyén Van Minh) Singularities of the stability frontier of 
generic families of linear differential equations. 92d:58015 

Horak, Jiti Qualitative dynamics, scenarios of generation of chaos and homoclinic 
Structures. 92d:58135 

Hughes, David W. (with Proctor, Michael R. E.) Chaos and the effect of noise in a model of 
three-wave model coupling. 92i:58117 

Hutson, V. The existence of an equilibrium for permanent systems. 92g:92016 





ORDINARY DIFFERENTIAL EQUATIONS 


1992 502 


IVichev, V.G. Fragment of a mathematical theory of competition among biological species 
in a variable environment. (Russian) 92b:92039 

Ilner, Reinhard (with Wick, Joachim) On statistical and measure-valued solutions of 
differential equations. 92g:34020 

Izobov, N. A. On the existence of Grobman spectral sets of positive measure for linear 
systems. (Russian) 92k:34063 

Jacquez, John A. see Simon, Carl P. 

Krasil/nikov, P.S. Generalized spaces of germs of smooth solutions of a first-order equation 
and their connection with the direct Lyapunov method. (Russian) 924:35069 

Kretzschmar, Mirjam see Diekmann, Odo, 92m:92012 

Kfivan, Vlastimil Construction of population growth equations in the presence of viability 
constraints. 92k:92019 

Kuznetsova, V. A. Analytic conditions for the recognition of a type of sector of surging 
dynamical systems for a special case (n = 2, m = 2). (Russian) 92g:34013 

Kvinikadze, G. G. A singular Cauchy problem for nonlinear ordinary differential equations. 
(Russian. English and Slovak summaries) 92b:34009 

(Leach, P.G.L.) see Bacry, Henri, 92j:70016 

Liu, Li (with Lu, Zheng Yi; Wang, Dong Ming) The structure of LaSalle’s invariant set of 
Lotka-Volterra systems. 92m:34108 

La, Zheng Yi see Liu, Li; et al., 92m:34108 

Malkus, David S. (with Nohel, John A.; Plohr, Bradley J.) Analysis of new phenomena in 
shear flow of non-Newtonian fluids. 92f:76010 

Margolis, Stephen B. New routes to quasiperiodic combustion of solids and high-density 
fluids near resonant Hopf bifurcation points. 92d:80005 

— Erratum: “New routes to quasiperiodic combustion of solids and high-density fluids near 
resonant Hopf bifurcation points” [SIAM J. Appl. Math. 51 (1991), no. 3, 693-726; MR 
92d:80005]. 

Mkhitaryan, K. N. (with Pavlotskii, I. P.) The mathematical properties of the Vlasov’s 
equation for the Volterra’s dynamical systems. 92j:82061 

Muldowney, James S. Compound matrices and ordinary differential equations. 92h:15002 

Neimark, Yu. I. A mathematical producers-product gers model. (Russian) 

Neishtadt, A. I. Probability phenomena due to separatrix crossing. 92i:58161 

Neumann, Michael (with Stern, Ronald Jay; Tsatsomeros, Michael J.) The reachability 
cones of essentially nonnegative matrices. 92b:15030 

— (with Tsatsomeros, Michael J.) Symbiosis points for linear differential systems. 
92d:34020 

Nguyén Van Minh see Hoang Hi’u-Du’d’ng, 92d:58015 

Nishida, Toyoaki (with Doshita, Shuji) PSX: a program that explores phase portraits of 
two-dimensional piecewise linear differential equations. 92f:65094 

Nohel, John A. see Malkus, David S.; et al., 92f:76010 

Nosirov, F. U. On lowering the order of gyroscopic systems. (Russian. Ukrainian summary) 
92d:70014 

Ottino, J. M. see Shariff, Karim; et al., 92k:76027 

Passamante, A. see Albano, A. M.; et al., 92i:58111 

Pavlotskii, I. P. see Mkhitaryan, K. N., 92j:82061 

Perry, A. E. see Chong, M. S.; et al., 92b:76037 

Plohr, Bradley J. see Malkus, David S.; et al., 92f:76010 

Ponomarenko, V. P. see Zaulin, I. A. 

Privalov, A. V. see Goryachenko, V. D.; et al., 92m:82155 

Proctor, Michael R. E. see Hughes, David W., 92i:58117 

Pulliam, T. H. see Shariff, Karim; et al., 92k:76027 

Pullin, D.1. (with Saffman, P.G.) Long-time symplectic integration: the example of four- 
vortex motion. 92g:65083 

Rabier, Patrick J. (with Rheinboldt, Werner C.) A general existence and uniqueness theory 
for implicit differential-algebraic equations. 92d:34004 

Rauch-Wojciechowski, Stefan A method of studying integrals of dynamical systems based 
on Frobenius’ integrability theorem. 92i:34009 

Rheinboldt, Werner C. see Rabier, Patrick J., 92d:34004 

(Sabaev, E. F.) see Applied problems in the theory of oscillations, 92g:00016 

Saffman, P.G. see Pullin, D. I., 92g:65083 

Sagdeev, R. Z. see Zaslavskii, G. M.; et al., 92m:58092 

Shariff, Karim (with Pulliam, T. H.; Ottino, J. M.) A dynamical systems analysis of 
kinematics in the time-periodic wake of a circular cylinder. 92k:76027 

Shen, Jia Qi The approximate invariant manifold of a system of differential equations with 
a small parameter. (Chinese) 

Shilov, B. N. see Goryachenko, V. D.; et al., 92m:82155 

Siggia, Eric D. see Ercolani, Nicholas M., 92c:58031 

Simeonov, P.S. (with Bainov, Drumi D.) Asymptotic properties of the solutions of systems 
of differential equations with impulse effect. 92j:34026 

Simon, Carl P. (with Jacquez, John A.) Reproduction numbers and the stability of 
equilibria of SI models for heterogeneous populations. 

Smith, Hal L. Microbial growth in periodic gradostats. 92d:92032 

— Periodic tridiagonal competitive and cooperative systems of differential equations. 
92g:34041 

Stern, Ronald Jay see Neumann, Michael; et al., 92b:15030 

Sweby, P. K. see Yee, H. C.; et al., 92i:76075 

Tang, Mo Xun Persistence of a class of higher-dimensional population dynamical systems. 
(Chinese. English summary) 92c¢:92033 

Thieme, Horst R. see Busenberg, Stavros N.; et al., 92j:92016 

Tsatsomeros, Michael J. see Neumann, Michael; et al., 92b:15030 and 924:34020 

Usikov, D. A. see Zaslavskii, G. M.; et al., 92m:58092 

Vincent, Thomas L. (with Yu, Jian Zu) Control of a chaotic system. 92c:58088 

Voskresenskii, E. V. Asymptotic behavior of solutions of differential equations with 
functional perturbation. (Russian) 92d:34025 

Vrscay, Edward R. Irregular behaviour arising from quasiperiodic forcing of simple 
quantum systems: insight from perturbation theory. 92c:81034 

Waltman, Paul A brief survey of persistence in dynamical systems. 92j:34093 

Wang, Dong Ming see Liu, Li; et al., 92m:34108 

Whiston, G. S. Singularities in vibro-impact dynamics. 92m:58080 

Wick, Joachim see Illner, Reinhard, 92g:34020 








503 1992 


Yang, Feng (with Freedman, H. I.) Competing predators for a prey in a chemostat model 
with periodic nutrient input. 92k:92021 

Yee, H.C. (with Sweby, P. K.; Griffiths, D. F.) Dynamical approach study of spurious 
steady-state numerical solutions of nonlinear differential equations. I. The dynamics of 
time discretization and its implications for algorithm development in computational fluid 
dynamics. 92i:76075 

Yu, Jian Zu see Vincent, Thomas L., 92c:58088 

Zaghrout, Afaf A.S. Asymptotic behavior of solutions of competition in gradostat with two 
limiting complementary substrates. 

Zaitsev, V. V. The second Lyapunov method for estimates of domains of reachability of 
nonlinear systems. (Russian) 92¢:34070 

Zarzo, A. see Arriola, E. R.; et al., 92i:34033 

Zaslavskii, G. M. (with Sagdeev, R. Z.; Usikov, D. A.; Chernikov, Aleksandr Antonovich) 
A stochastic spiderweb and the symmetry of structures. (Russian) 92m:58092 

Zaulin, I. A. (with Ponomarenko, V. P.) Investigation of a mathematical model of a system 
for the synchronization of a complex signal with an incoherent delay discriminator. 
(Russian) 

Zinchenko, I. L. Poincaré’s recurrence theorem for complex analytic systems. (Russian) 
92h:34017 

Zabov, V.1. Ergodic behavior of macro parameters. (Russian) 92g:34016 


Items listed otherwise than by author 


Applied problems in the theory of oscillations * IIpuxnagubie npo6. 
(Russian) [Applied problems in the theory of oscillations] 92g:00016 


6. * 





TeopHH K¢ 


34Dxx Stability theory [see also 58F 10, 93Dxx] 


Chetaev, N. G. * Ycrotunpocts zsuxenua. (Russian) [Stability of motion] 92j:34095 
(Rumyantsev, V. V.) see Chetaev, N. G., 92j:34095 


Items with secondary classifications in 34Dxx 


Kiapyta, Janina A classification of dynamical systems. 92i:54043 
Skowronski, J. M. * Nonlinear Liapunov dynamics. 92b:34004 


34D05 Asymptotic properties 


Bainov, Drumi D. (with Zabreiko, P. P.; Kostadinov, St. I.) Stability of the general exponent 
of nonlinear differential equations with impulse effect in a Banach space. 92f:34041 

Baris, Ya.S. (with Lykova, O. B.) Integral manifolds and the reduction principle in stability 
theory. III. (Russian. Ukrainian summary) 92m:34106 

Beloglazov, V. A. see Voskresenskii, E. V., 92m:34109 

Bitsoris, Georges On the inverse problem of the comparison principle. 92j:34096 

Cao, Qing Jie (with Xiong, Kai Qi) On the partial asymptotic stability for the linear time- 
varying systems. 92a:34046 

Chen, Bo Shan Asymptotic stability of nonautonomous systems. 

Furta, S. D. Asymptotic solutions of autonomous systems of differential equations in the 
critical case of several zero eigenvalues. (Russian) (see 92f:70001) 

Gil’, M.1. Operator functions method in the theory of continuous systems. (see 92i:34003) 

Ha, Shi Geng A comparison criterion for stability of linear systems. (Chinese. English 
summary) 92k:34058 

Jiang, Ji Fa Strongly monotone flows with positive Lyapunov stability. (Chinese) 
92e:34061 

Kostadinov, St. I. see Bainov, Drumi D.; et al., 92f:34041 

Krechetov, G.S. On the stability of the Mathieu equation with damping. (Russian) 
921:34060 

Kulesér, Stefan Boundedness and stability of solutions of a certain nonlinear differential 
equation of the second order. 92m:34107 

Kurbanshoev, S. Z. Stability of solutions of a linear system of differential equations with 
impulse actions. (Russian. Tajiki summary) 

Leonov, G. A. (with Raitmann, F.) Asymptotic behavior of solutions of differential 
equations on a flat manifold. (Russian. English summary) 92k:34059 

Liu, Li (with Lu, Zheng Yi; Wang, Dong Ming) The structure of LaSalle’s invariant set of 
Lotka-Volterra systems. 92m:34108 

La, Zheng Yi see Liu, Li; et al., 92m:34108 

Lunin, A. A. Stability of a system of linear differential equations with random coefficients. 
(Russian) 92i:34061 

Lykova, O. B. see Baris, Ya. S., 92m:34106 

Pego, Robert L. Stabilization in a gradient system with a conservation law. 92g:34059 

Raitmann, F. see Leonov, G. A., 92k:34059 

Slyusarchuk, V. E. On the instability of autonomous systems according to the linear 
approximation. (Russian) 92g:34060 

Smirnov, G. V. * Cna6aa acumnToTuyeckad yCTOMYMBOCTE AudbepeHUMaIbHbIX BKIOYeHHA 
lo neppomy npHOmuxennto. (Russian) [Weak asymptotic stability of differential inclusions 
according to the first approximation] 92h:34099 

Steindl, Alois see Troger, Hans, 92k:34060 

Troger, Hans (with Steindl, Alois) * Nonlinear stability and bifurcation theory. 92k:34060 

Voskresenskii, E. V. (with Beloglazov, V. A.) On the Cesari problem on the existence of 
asymptotic equilibrium. (Russian) 92m:34109 

Wang, Bing Hong’ The globally asymptotic stability of the nonautonomous system. 
92e:34062 

Wang, Dong Ming see Liu, Li; et al., 92m:34108 

Wang, Xiang Rong Necessary and sufficient conditions for global stability of the zero 
solution to a class of second-order nonlinear systems of differential equations. (Chinese. 
English summary) 92m:34110 

Xiong, Kai Qi see Cao, Qing Jie; et al., 92a:34046 

Xu, Ning Xiong Approximation of a class of special infinite-dimensional linear systems. 
(Chinese. English summary) 

Zabreiko, P. P. see Bainov, Drumi D.; et al., 92f:34041 

Zhao, Jia Xiang Investigating total stability properties by means of limiting equations. 
(Chinese) 92k:34061 


34D Stability theory 


34D05 


Items with secondary classifications in 34D05 


Aisagaliev, S. A. On the theory of the controllability of linear systems. (Russian) 92a:93015 

Alchekov, A. K. Stability in the mean of a linear system with impulse action at the epochs of 
a renewal process. (Russian) 92i:60110 

— see also Korolyuk, V. S., 92i:60113 

Alvarez G., Carlos S. Two competing species in a T-periodic environment in N-different 
locations. 92e:92017 

Alymkulov, E. D.-A. Aggregation of systems of ordinary differential equations, and stability 
problems. (Russian) 92f:34040 

Andres, Jan Problem of Barbashin in the case of forcing. 92f:34025 

Ashirov, O. A. Preservation of stability in impulse systems. (Russian) 92m:34026 

Bainov, Drumi D. (with Kostadinov, St. I.; Zabreiko, P. P.) L,-equivalence of a linear and a 
nonlinear impulsive differential equation in a Banach space. 92h:34029 

— see also Simeonov, P. S., 92j:34026 

Barabanov, N. E. Stability of two-dimensional differential inclusions. (Russian) 92c:34013 

Bobylév, N. A. (with Kondakov, G. V.) A deformation method for studying nonsmooth 
optimization problems. (Russian) 92j:49009 

Boikov, I. V. Stability of solutions of differential and difference equations in critical cases. 
(Russian) 924:34126 

Castro, Liliana see Desages, Alfredo C.; et al., 92i:93070 

Cendra, Hernan see Desages, Alfredo C.; et al., 92i:93070 

Chen, Xiu Dong (with Zhang, Xin Xiang) Qualitative analysis of a class of differential 
equation models for a first-stage saturation reaction. (Chinese. English summary) 

Chigur, I. 1. see Kozlov, Valerii V., 92k:58143 

Corless, Martin Asymptotic stability of singularly perturbed systems that have marginally 
stable boundary-layer systems. 92¢:34066 

Demenin, A. N. (with Diesperova, M. M.) Stability of linear dynamical systems with 
parameters that change randomly in time. (Russian. English summary) 92d:93117 

Desages, Alfredo C. (with Castro, Liliana; Cendra, Hernan) Distance of a complex 
coefficient stable polynomial from the boundary of the stability set. 92i:93070 

Diesperova, M. M. see Demenin, A. N., 92d:93117 

El-Nahhas, A. Small constant perturbations of a nonlinear nonautonomous nth order 
differential equation. 92j:34084 

Fairgrieve, Thomas F. (with Jepson, Allan D.) O. K. Floquet multipliers. 924:65130 

Futak, Jan On the asymptotic behaviour of the solutions of operator-differential equations. 
92g:34079 

Gardner, Robert Alan (with Jones, Christopher K. R. T.) Stability of one-dimensional 
waves in weak and singular limits. 92k:35130 

Gasull, Armengol (with Sotomayor, Jorge) On the basin of attraction of dissipative planar 
vector fields. 92a:58088 

— (with Llibre, Jaume; Sotomayor, Jorge) Global asymptotic stability of differential 
equations in the plane. 92j:34102 

Gorni, Gianluca (with Zampieri, Gaetano) A class of integrable Hamiltonian systems 
including scattering of particles on the line with repulsive interactions. 92k:58111 

Grabowski, Piotr Comments on: “Generalized Lyapunov functions for Liénard-type 
nonlinear systems” [Internat. J. Control 48 (1988), no. 2, 805-812; MR 89j:34017] by H. 
Miyagi, T. Ohshiro and K. Yamashita. 92¢:34010 

Holm, Darryl D. Hamiltonian structure and stability analysis. 92k:58141 

Izobov, N. A. (with Prokhorova, R. A.) On the Conti problem for intersections of sets L?S 
of linear systems. (Russian) 92e:34010 

Jacquez, John A. see Simon, Carl P. 

Jepson, Allan D. see Fairgrieve, Thomas F., 924:65130 

Jiang, Ji Fa A note on a global stability theorem of M. W. Hirsch. 92b:58119 

Jin, Jun Existence, uniqueness and asymptotic stability of periodic solutions of a nonlinear 
equation in phase locked technology. 924:34077 

Johnson, Russell Cantor spectrum for the quasi-periodic Schrédinger equation. 92i:34118 

Jones, Christopher K. R. T. see Gardner, Robert Alan, 92k:35130 

Kaiser, Friedemann see Merkle, D., 92a:81242 

Kawski, Matthias Families of dilations and asymptotic stability. 92h:93073 

Kibenko, A. V. Application of asymptotic equilibrium to the solution of a two-point 
problem with a parameter on the half-axis. (Russian) 92h:34021 

Kondakov, G. V. see Bobylév, N. A., 92j:49009 

Korolyuk, V.S. (with Alchekov, A. K.) Stability of an impulse ergodic Markov action. 
(Russian. Ukrainian summary) 92i:60113 

Kostadinov, St. 1. see Bainov, Drumi D.; et al., 92h:34029 

Kozlov, Valerii V. (with Chigur, I. I.) On the stability of periodic trajectories of a three- 
dimensional billiard. (Russian) 92k:58143 

Lasota, Andrzej (with Tyrcha, Joanna) On the strong convergence to equilibrium for 
randomly perturbed dynamical systems. 92i:58159 

Li, Jun Ru (with Tu, Bo Xun) Stability of compound systems of ordinary linear differential 
equations. (Chinese. English summary) 92m:34121 

Lin, Zhen Sheng Theory of linear systems. 92a:34037 

Llibre, Jaume see Gasull, Armengol; et al., 92j:34102 

Ma, Wan Biao see Si, Li Geng; et al., 92c:34089 

Maffei, C. (with Moauro, Vinicio; Negrini, Piero) On the inversion of the Lagrange- 
Dirichlet theorem in a case of nonhomogeneous potential. 92c:70024 

Melbourne, Ian An example of a nonasymptotically stable attractor. 92f:58093 

Merkle, D. (with Kaiser, Friedemann) Dynamics of the passive optical ring resonator: 
stability analysis and the onset of self-pulsing. 92a:81242 

Millionshchikov, V.M. Behavior of conditional stability with parameter change. (Russian) 
92d:34097 

(Miyagi, H.) see Grabowski, Piotr, 92c:34010 

Moauro, Vinicio see Maffei, C.; et al., 92c:70024 

Muldowney, James S. Compound matrices and ordinary differential equations. 92h:15002 

Negrini, Piero see Maffei, C.; et al., 92c:70024 

(Ohshiro, T.) see Grabowski, Piotr, 92c:34010 

Onishchenko, S. M. Rigid monotone stabilization of solutions of nonlinear differential 
equations by the direct Lyapunov method. (Russian) 92f:34046 

Peiffer, K. On the inversion of Lagrange-Dirichlet’s theorem. (see 92i:34003) 





34D05 


Pivovarchik, V. N. On the total algebraic multiplicity of the spectrum in the right half-plane 
for a class of quadratic operator pencils. (Russian) 92g:47018 

Prokhorova, R. A. see Izobov, N. A., 92e:34010 

Quan, Hong Shun Three-dimensional ecosystems with group defensive ability. (Chinese. 
English summary) 92e:92023 

Ruiz Chaveco, Antonio Ivan On the application of the theory of normal forms to the study of 
the stability of motion in some critical cases. (Spanish. English summary) 92f:34029 

Salvadori, L. Existence and stability of bifurcating periodic solutions of planar periodic 
systems at resonance. 92j:58087 

Si, Li Geng (with Ma, Wan Biao) Stability of functional-differential equations of super- 
neutral type and their applications. (Chinese. English summary) 92c:34089 

Simeonov, P.S. (with Bainov, Drumi D.) Asymptotic properties of the solutions of systems 
of differential equations with impulse effect. 92j:34026 

Simon, Carl P. (with Jacquez, John A.) Reproduction numbers and the stability of 
equilibria of SI models for heterogeneous populations. 

Sotomayor, Jorge see Gasull, Armengol, 92a:58088 and 92j:34102 

Tang, Bao Rong Global behavior of a class of cooperative systems. (Chinese) 92i:34059 

Tkachenko, V. 1. On the reducibility of a nondichotomous linear quasiperiodic system. 
(Russian) 92k:34009 

Tu, Bo Xim_ see Li, Jun Ru; et al., 92m:34121 

Tyrcha, Joanna see Lasota, Andrzej, 92i:58159 

Visentin, F. Stability properties of bifurcating periodic solutions of periodic systems. 
92i:34051 

Wang, Dong Ming A class of cubic differential systems with 6-tuple focus. 92g:34036 

Wang, Fu Jun Stability analysis for two kinds of equations in two-species population 
dynamics. (Chinese. English summary) 

Xie, Qing Xiang Boundedness conditions of nth order nonhomogeneous linear differential 
equations in terms of Green functions. 92j:34018 

(Yamashita, Katsumi) see Grabowski, Piotr, 92c:34010 

Yang, Hua Qualitative theory of neural network. 92f:92013 

Yu, Shu Xiang Applications of the theory of isolating blocks in the planar qualitative theory 
of differential equations. (Chinese) 92¢:34059 

Zabreiko, P. P. see Bainov, Drumi D.; et al., 92h:34029 

Zampieri, Gaetano see Gorni, Gianluca, 92k:58111 

Zeng, Wei Yao Existence and estimates of roughness of dichotomies. (Chinese) 92b:34021 

Zhang, Xin Xiang see Chen, Xiu Dong; et al. 

Zinchenko, I. L. Poincaré’s recurrence theorem for complex analytic systems. (Russian) 
92h:34017 


34D08 Lyapunov exponents 


Abakirov, T. Sh. Auxiliary exponents of exponentially separated systems. (Russian) 
92g:34061 

Bainov, Drumi D. see Simeonov, P. S., 92j:34097 and 92j:34098 

Ilarionova, O. G. Stability of the kth central exponent of a linear system of differential 
equations. (Russian) 92k:34062 

Izobov, N. A. Characteristic exponents of linear systems with Grobman perturbations. 
(Russian) 92c:34053 

— On the existence of Grobman spectral sets of positive 
(Russian) 92k:34063 

Millionshchikov, V.M. Behavior of conditional stability with parameter change. (Russian) 
92d:34097 

Nguyén-Dinh Céng On Lyapunov exponents and central exponents of linear systems of 
differential equations with almost periodic coefficients under random perturbations. 
92b:34055 

Simeonov, P.S. (with Bainov, Drumi D.) Theory of Lyapunov’s characteristic exponents 
for impulsive differential systems. I. General properties of the characteristic exponents. 
(Bulgarian summary) 92j:34097 

— (with Bainov, Drumi D.) Theory of Lyapunov’s characteristic exponents for impulsive 
differential systems. II. Inequalities of Wazewski and Lyapunov for impulsive systems. 
Reducible systems. (Bulgarian summary) 92j:34098 

Wang, Quan Yi Equivalence of the properties of having a pure point spectrum and being 
almost reducible. (Chinese) 92¢:34054 





for linear sy 


Items with secondary classifications in 34D08 

Baxendale, Peter H. Statistical equilibrium and two-point motion for a stochastic flow of 
diffeomorphisms. 92m:60051 

Berlyand, L. V. (with Molchanov, S. A.) A localization problem for a random one- 
dimensional elastic continuum with dispersion. (Russian) 92i:34076 

(Chan, K.S.) see Tong, Howell, 92a:62141 

Eden, A. (with Foias, Ciprian; Temam, Roger) Local and global Lyapunov exponents. 
924:58118 

Ershov, S. V. Lyapunov exponents are measure-average in a spin space. (Russian. English 
summary) 92f:58098 

Falko, N.S. On the non-almost reducible Hill equation with almost-periodic coefficients. 
(Russian. English and Moldavian summaries) 92h:34020 

Foias, Ciprian see Eden, A.; et al., 924:58118 

Giovannini, Franco (with Politi, Antonio) Homoclinic tangencies, generating partitions and 
curvature of invariant manifolds. 92d:58119 

Hoang Hii’u-Du’d’ng (with Nguyén Van Minh) Local models of the greatest characteristic 
exponent of differential equations depending on parameters. 92e:58026 

Hong, Jia Lin Exponential trichotomy and uniformly characteristic exponents of differen- 
tial systems. 92k:34007 

Izé, A. F. Lyapunov numbers for a countable system of ordinary differential equations. 
92m:34134 

Izobov, N. A. (with Stepanovich, O. P.) Properties of the coefficient of nonregularity of 
linear systems. (Russian) 92¢:34007 

Jaroslawski, Robert (with Koschany, Artur; Obermair, Gustav M.) Transformation 


properties of the Lyapunov exponent of dynamical systems under diffeomorphisms. 
92b:58118 


ORDINARY DIFFERENTIAL EQUATIONS 


Koschany, Artur see Jaroslawski, Robert; et al., 92b:58118 

Kozin, Frank (with Zhang, Z. Y.) The exact almost sure stability for a specific class of 
nonlinear Ito differential equations. 92a:34063 

Lin, Zhen Sheng Theory of linear systems. 92a:34037 

Livi, Roberto (with Ruffo, Stefano) Liapunov exponents in symplectic dynamics. 
92c:58036 

Makarov, E. K. On a criterion for joint behavior of higher sigma exponents of a triangular 
system and the system of its diagonal approximation. (Russian) 92g:34012 

Malinetskii, G.G. (with Potapov, A. B.) The geometry of strange attractors and determina- 
tion of Lyapunov exponents from time series. (Russian. English summary) 92m:58090 

Mao, Xue Rong * Stability of stochastic differential equations with respect to semimartin- 
gales. 92h:60096 

Miyazaki, Syuji see Yoshida, Takeshi, 92d:58125 

Mohammed, Salah Eldin A. (with Scheutzow, Michael K. R.) Lyapunov exponents and 
stationary solutions for affine stochastic delay equations. 92a:60148 

Molchanov, S. A. see Berlyand, L. V., 92i:34076 

Nguyén Dinh Cong Auxiliary and central exponents of linear systems with coefficients that 
are perturbed by white noise. (Russian) 92b:34065 

Nguyén Van Minh see Hoang Hii’u-Du’d’ng, 92¢:58026 

Obermair, Gustay M. see Jaroslawski, Robert; et al., 92b:58118 

Pinsky, Mark (with Wihstutz, Volker) Lyapunov exponents for white and real noise driven 
two-dimensional systems. 92i:60116 

Politi, Antonio see Giovannini, Franco, 92d:58119 

Potapov, A. B. see Malinetskii, G. G., 92m:58090 

Ruffo, Stefano see Livi, Roberto, 92c:58036 

Scheutzow, Michael K. R. see Mohammed, Salah Eldin A., 92a:60148 

Stepanovich, O. P. see Izobov, N. A., 92c:34007 

Teichert, Heidrun Asymptotic analysis of the Lyapunov exponents of a fourth-order 
differential operator with random coefficients. 92k:34074 

Temam, Roger see Eden, A.; et al., 92d:58118 

Tong, Howell * Nonlinear time series. 92a:62141 

Wedig, W. V. Lyapunov exponents and invariant of dy 

Wihstutz, Volker see Pinsky, Mark, 921:60116 

Yoshida, Takeshi (with Miyazaki, Syuji) Global bifurcations and fluctuation spectra of 
local expansion rates in nonlinear dynamical systems. 924:58125 

Zhang, Z. Y. see Kozin, Frank, 92a:34063 





y . 92d:58112 


34D10 Perturbations 


Alekseeva, E.I. (with Kirzhner, V. M.) Stability of dynamical systems on a graph. 
(Russian) 92m:34111 

Bainov, Drumi D. see Milev, N. V., 92a:34048 

Bimenov, D. A. (with Kunitsyn, A. L.) Stability of quasi-autonomous systems in the 
presence of one internal resonance. (Russian. English and Kazakh summaries) 92j:34099 

Izobov, N. A. (with Stepanovich, O. P.) Exponentially decreasing perturbations that 
preserve the characteristic exponents of a linear diagonal system. (Russian) 92a:34047 

Kirzhner, V. M. see Alekseeva, E. I., 92m:34111 

Korenevskii, D. G. * YctotunpocTh .HHaMH4YeCKHX CHCTeM pH Cy4ahHbIX BOSMYMIeCHHAX 
napametpos. (Russian) [Stability of dynamical systems under random perturbations of 
parameters] 92f:34042 

Kravets, T. F. An analytic criterion for the stability of the periodic motion of systems with a 
small parameter. (Russian) 92j:34100 

Kunitsyn, A. L. see Bimenov, D. A., 92j:34099 

Miladzhanov, V.G. On a form of aggregation of large-scale systems under structural 
perturbations. (Russian. English summary) 92j:34101 

Milev, N. V. (with Bainov, Drumi D.) Stability of linear impulsive differential equations. 
92a:34048 

Monte, Anna-Maria Global stability properties for a perturbed almost periodic equation. 
(Italian summary) 92i:34062 

Ohe, Takashi (with Yamamoto, Minoru) On the perturbation of exponential- 
asymptotically stable nonlinear systems. 92b:34056 

Stepanovich, O. P. see Izobov, N. A., 92a:34047 

Yamamoto, Minoru see Ohe, Takashi, 92b:34056 


Items with secondary classifications in 34D10 


Ashirov, O. A. Preservation of stability in impulse systems. (Russian) 92m:34026 

Bainov, Drumi D. see Kulev, G. K., 92d:34104; Milev, N. V., 92j:34024 and Dishliev, A. B., 
92m:34030 

Bibikov, Yu. N. * MuoroyacToTHble HemHHeMHbIe KoneOaHua H HX OudypKauun. (Russian) 
[Multifrequency nonlinear oscillations and their bifurcations] 92i:34045 

Datko, R. (with You, Yun Cheng) Some second-order vibrating systems cannot tolerate 
small time delays in their damping. 92m:34132 

Dishliev, A. B. (with Bainov, Drumi D.) Uniform stability with respect to the impulsive 
perturbations of the solutions of impulsive differential equations. 92m:34030 

Dovgai, V. V. see Dzyra, B. I., 92g:34077 

Dzyra, B.1. (with Dovgai, V. V.) Stability of a second-order system under constantly acting 
random perturbations of white noise type. (Russian) 92g:34077 

Elaydi, Saber (with Hajek, Otomar) Exponential dichotomy and trichotomy of nonlinear 
differential equations. 92a:34045 

Feng, Zhao Shu see Liu, Yong Qing; et al., 92f:39011 

Gol'tser, Ya. M. Some bifurcational problems of the theory of stability. 92j:34080 

Hajek, Otomar see Elaydi, Saber, 92a:34045 

Hu, Gang Distribution and stability of Mel/nikov orbits. (Chinese. English summary) 
92m:34104 

Knobloch, Edgar see Weiss, Jeffrey B., 92a:60141 

Krishna, S. V. (with Ravindranadh Babu, G. V.; Vasundhara Devi, J.) Dichotomies for 
impulsive differential systems. 92m:34032 

Kulev, G. K. (with Bainov, Drumi D.) Stability under persistent disturbances for systems 
with impulses via Lyapunov’s direct method. 92d:34104 





505 1992 


Kulik, V. L. Sign changing Lyapunov functions and perturbation of invariant tori of 
dynamical systems. 92£:34039 

Kuz'mina, L. K. On the solution of a singularly perturbed problem on stability. (Russian) 
92k:34070 

Liu, Yong Qing (with Feng, Zhao Shu) Complete stability of perturbed discrete systems. 
92£:39011 

Loginov, B. V. (with Rusak, Yu. B.) Generalized Jordan structure in the problem of the 
stability of bifurcating solutions. 92j:34122 

Medina, Rigoberto On the boundedness and stability of the solutions of semilinear 
differential equations. 92h:34026 

Miladzhanov, V.G. Asymptotic stability of large-scale systems under structural perturba- 
tions. (Russian. English summary) 92m:34120 

Milev, N. V. (with Bainov, Drumi D.) Ordinary dichotomy and perturbations of the 
coefficient matrix of the linear impulsive differential equation. 92j:34024 

Neimark, Yu. I. Robust stability of linear systems. (Russian) 92m:93038 

Ravindranadh Babu, G. V. see Krishna, S. V.; et al., 92m:34032 

Rusak, Yu. B. see Loginov, B. V., 92j:34122 

Vasundhara Devi, J. see Krishna, S. V.; et al., 92m:34032 

Voskresenskii, E. V. Lyapunov functions and the asymptotic behavior of solutions of 
perturbed differential equations. (Russian) 92h:34027 

Weiss, Jeffrey B. (with Knobloch, Edgar) A stochastic return map for stochastic differential 
equations. 92a:60141 

Wolkowicz, Gail S. K. Invasion of a persistent system. 92c:92027 

You, Yun Cheng see Datko, R., 92m:34132 


34D15 Singular perturbations 


Martynyuk, A. A. Boundedness of solutions of nonlinear systems with small perturbations. 
(Russian) 92m:34112 


Items with secondary classifications in 34D15 

Hsieh, Ché Kuang see Su, Juhng Perng 

Iyashenko, Yu. S. Rapidly-linear relaxation oscillations. (Russian) 92j:34074 

Jimbo, Shuichi see Morita, Yoshihisa, 92m:35134 

Morita, Yoshihisa (with Jimbo, Shuichi) Ordinary differential equations (ODEs) on inertial 
manifolds for reaction-diffusion systems in a singularly perturbed domain with several 
thin channels. 92m:35134 

O’Malley, Robert E., Jr. Different perspectives on some singular perturbation problems. 
92i:34070 

Su, Juhng Perng (with Hsieh, Ché Kuang) Corrigendum: “Composite feedback control for 
a class of nonlinear singularly perturbed systems with fast actuators” [Internat. J. Control 
§2 (1990), no. 3, 571-579}. 

Wallet, Guy Surstabilité pour une équation différentielle analytique en dimension un. 
(English summary) [Superstability for an analytic differential equation in dimension one] 
92¢:34061 


34D20 Lyapunov stability 


Agase, S. B. (with Leela, S.) Perturbing Lyapunov functions and global results. 92a:34049 

Akhmetgaleev, I. 1. Eigenvectors and system stability. 92m:34113 

Alekseeva, E.1. (with Kirzhner, V.M.) Dependence of the stability of a set of dynamical 
systems on the structure of the coupling between them. (Russian) 924:34098 

Aminov, A. B. (with Sirazetdinov, T. K.) Conditions for sign-definiteness of composite 
functions and stability of the motion of nonlinear systems. (Russian) 92d:34099 

Andreev, Aleksandr Sergeevich Investigation of partial asymptotic stability. (Russian) 
92m:34114 

Azimov, R. K. (with Martynyuk, A. A.) Analysis of the stability of a stochastic system by the 
Lyapunov matrix function method. (Russian) 92¢:34055 

Bainov, Drumi D. see Kulev, G. K., 924:34104 

Barone Netto, Angelo see Cesar, Mauro de Oliveira, 92i:34063 and 92m:34116 

Billings, S. A. see Owens, D. H.; et al., 92d:34105 and Zheng, Ying; et al., 92d:34106 

Biyarov, T. N. Stability and stabilization of motion on a finite time interval. (Russian. 
Kazakh summary) 92e:34063 

Campanini, R. Sufficient conditions for some properties of partial hyperboundedness. 
(Italian. English summary) 92m:34115 

Cesar, Mauro de Oliveira (with Barone Netto, Angelo) The existence of Liapunov functions 
for some nonconservative positional mechanical systems. 92i:34063 

— (with Barone Netto, Angelo) A necessary and sufficient condition for the stability of the 
equilibrium. 92m:34116 

Charron, R. J. Lyapunov stability via differential moments. 92f:34043 

Conti, Roberto Linear ordinary differential equations of class L’S. 924:34100a 

— Errata: “Linear ordinary differential equations of class L’S”. 924:34100b 

Feng, Bin Lu Asymptotic stability with respect to part of the variables of solutions to 
systems of differential equations. (Chinese. English summary) 92m:34117 

Feng, Zhao Shu see Hu, Xuan Da; et al., 92i:34064 

Galunova, K. V. A method for studying stability. (Russian) (see 92b:00031) 

Gasull, Armengol (with Llibre, Jaume; Sotomayor, Jorge) Global asymptotic stability of 
differential equations in the plane. 92j:34102 

Gruji¢, Ljubomir T. Solutions to Lyapunov stability problems: nonlinear systems with 
globally differentiable motions. 92m:34118 

Hang, Yong Zhen A numerical method for constructing Lyapunov functions. (Chinese. 
English summary) 92g:34062 

Harris, Christopher A simplex approach to the optimum determination of the domain of 
attraction. 92f:34044 

Hatvani, Laszlé6 On the uniform attractivity of solutions of ordinary differential equations 
by two Lyapunov functions. 92g:34063 

He, Jian Xun (with Zheng, Lie Lie) An equilibrium structure method for discussing 
practical stability of large-scale systems and existence of limit cycles. (Chinese. English 
summary) 924:34101 

Hollot, C. V. see Huang, Lin; et al., 92h:34100 


34D Stability theory 


34D20 


Hu, Xuan Da (with Feng, Zhao Shu) The Mo-stability of random differential systems. 
(Chinese. English summary) 92i:34064 

Huang, Lin (with Hollot, C. V.; Xu, Zhong Ling) Some prob 
linear continuous-time system. 92h:34100 

Huang, Ming Qian Global stability of zero solutions to higher-order nonlinear equations. 
(Chinese. English summary) 

Huang, Wen Hu see Xu, Xiao Hao; et al. 

(Jacyno, Z.) see Shen, Xuemin and Zelentsovskii, A. L. 

Jin, Jun Boundedness of solutions to nonlinear systems of fourth order. (Chinese. English 
summary) 92d:34102 

Kalitin, B.S. Development of Lyapunov’s theorem on stability. (Russian) 92j:34103 

Kanevskii, A. Ya. Lyapunov functions in the absence of cycles. 92j:34104 

Kang, Yong Hai see Mao, Cheng Li; et al. 

Karapetyan, A. V. Stability of sets of nonisolated stationary motions. (Russian) 92f:34045 

Khazin, L.G. (with Shnol’, E. E.) * Stability of critical equilibrium states. 92d:34103 

Kirzhner, V. M. see Alekseeva, E. I., 92d:34098 

Koksch, N. On application of Ljapunov functions and comparison systems to analysis of 
stability for nonlinear ordinary differential equations. 92a:34050 

Konosevich, B. I. On a criterion for Routh-Lyapunov-Salvadori stability. (Russian) 
92k:34064 

Konyaev, Yu. A. Sufficient conditions for the stability of solutions of some classes of 
ordinary differential equations in critical cases. (Russian) 92a:34051 

Kozlov, R. I. Sublinear vector Lyapunov functions for linear differential equations in 
Banach spaces. (see 92m:49004) 

Krechetov, G.S. On the stability in the large of a second-order autonomous system. 
(Russian) 92i:34065 

Kulev, G. K. (with Bainov, Drumi D.) Stability under persistent disturbances for systems 
with impulses via Lyapunov’s direct method. 924:34104 

Kunitsyn, A. L. (with Tashimov, L. T.) * Hexotoppie 3ama4 ycTOMuMBocTH HeHHeMHBIX 
Pe3OHaHCHBIX cuctem. (Russian) [Some problems on the stability of nonlinear resonance 
systems] 92b:34057 

Lakshmikantham, V. (with Leela, S.; Rama Mohana Rao, M.) New directions in the 
method of vector Lyapunov functions. 92a:34052 

Leela, S. see Agase, S. B., 92a:34049 and Lakshmikantham, V.; et al., 92a:34052 

Lei, Ming Rong Stability of time-varying linear systems. (Chinese. English summary) 
92m:34119 

Levakov, A. A. Stability of periodic systems. (Russian. English summary) 92¢:34056 

Li, Qing On the construction of globally asymptotically stable Liapunov’s functions of a 
type of nonlinear third-order systems. 92g:34064 

Li, Sen Lin (with Zhang, Meng Qiu) A new idea for studying the theory of stability of 
motion. (Chinese. English summary) 92k:34065 

Li, Yong® Asymptotic stability and ultimate boundedness. 92a:34053 

Liu, Yong Qing see Tang, Gong You; et al. 

Llibre, Jaume see Gasull, Armengol; et al., 92j:34102 

Mao, Cheng Li (with Kang, Yong Hai) Stability of a class of nonstationary systems. 
(Chinese. English summary) 

Martynyuk, A. A. Analysis of the stability of nonlinear systems on the basis of Lyapunov 
matrix functions (a survey). (Russian. English summary) 92i:34066 

— see also Azimov, R. K., 92¢:34055 

Matrosova, N. I. On the theory of critical cases in investigations of stability of motion. (see 
92i:34003) 

Matviichuk, K.S. Technical stability of nonlinear dynamical systems with slow and fast 
motions. (Russian) 92¢:34057 

Miladzhanov, V.G. Asymptotic stability of large-scale systems under structural perturba- 
tions. (Russian. English summary) 92m:34120 

Moroz, O. A. On nonasymptotic stability. (Russian) 92a:34054 

Onishchenko, S.M. Rigid monotone stabilization of solutions of nonlinear differential 
equations by the direct Lyapunov method. (Russian) 92f:34046 

Owens, D. H. (with Zheng, Ying; Billings, S. A.) Fast sampling and stability of nonlinear 
sampled-data systems. I. Existence theorems. 92d:34105 

— see also Zheng, Ying; et al., 92d:34106 

Peng, Xiao Lin Stability of a class of quasilinear large-scale systems. (Chinese. English 
summary) 92j:34105 

Rama Mohana Rao, M. see Lakshmikantham, V.; et al., 92a:34052 

Ruan, Shi Gui Connective stability of discontinuous large scale systems. 92h:34101 

Shen, Xuemin Comments on: “Explicit direct solution of the Lyapunov matrix equation” [J. 
Franklin Inst. 326 (1989), no. 6, 793-801; MR 91a:34035] by Z. Jacyno. 

Shnol’, E.E. see Khazin, L. G., 924:34103 

Sirazetdinov, T. K. see Aminov, A. B., 92d:34099 

Sotomayor, Jorge see Gasull, Armengol; et al., 92j:34102 

Srinivasu, P. D. N. see Venkatesulu, M., 92¢:34064 

Tang, Gong You (with Liu, Yong Qing) On stable region of interconnected parameters for 
large scale systems. 

Tashimov, L.T. see Kunitsyn, A. L., 92b:34057 

Turcu, Aurel Sur les méthodes de construction des fonctions de Liapunoff. [Methods for 
constructing Lyapunov functions] 92c:34058 

— Sur la construction des fonctions vectorielles de Liapounoff. [On the construction of 
Lyapunov vector functions] (see 92i:00018) 

Venkatesulu, M. (with Srinivasu, P.D.N.) Stability of solutions of a nonstandard ordinary 
differential system by Lyapunov’s second method. 92¢:34064 

Vitrichenko, I. E. On the stability in the critical case of a zero root and of a pair of 
purely imaginary roots of a nonautonomous nth order quasilinear equation. (Russian) 
92b:34058 

Voronova, V. V. (with Zemlyakov, A. S.) Iterational algorithms of the decomposition- 
agrigeration [aggregation]. (see 92i:34003) 

Wang, Lin Shan A generalization of Lyapunov’s theorem on stability. (Chinese) 92f:34047 

Wu, Yao Hua? see Xu, Xiao Hao; et al. 

Xu, Xiao Hao (with Huang, Wen Hu; Wu, Yao Hua’) The stability analysis on model 
following LSS and the time-varying weighted sum method. 

Xu, Zhong Ling see Huang, Lin; et al., 92h:34100 





s of Lyap method in 





34D20 


Zelentsovskii, A. L. Comments on: “Explicit direct solution of the Lyapunov matrix 
equation” [J. Franklin Inst. 326 (1989), no. 6, 793-801; MR 91a:34035] by Z. Jacyno. 

Zemlyakov, A. S. see Voronova, V. V., (92i1:34003) 

Zhang, Meng Qiu see Li, Sen Lin; et al., 92k:34065 


Zhang, Yi! (with Zhang, Yi?) Stability of zero solutions to large-scale time-varying systems. 


(Chinese. English summary) 92h:34102 

Zhang, Yi? see Zhang, Yi’; et al., 92h:34102 

Zhao, Jia Xiang On partial asymptotic stability and limiting equations. (Chinese summary) 
924:34107 

Zheng, Lie Lie see He, Jian Xun; et al., 92d:34101 

Zheng, Ying (with Owens, D. H.; Billings, S. A.) Fast sampling and stability of nonlinear 
sampled-data systems. II. Sampling rate estimations. 924:34106 

— see also Owens, D. H.; et al., 924:34105 

Zabov, V.1I. Integral equations for the Lyapunov function. (Russian) 92¢:34065 


Items with secondary classifications in 34D20 
Bainov, Drumi D. see Kulev, G. K., 92e:34106; 92h:34104 and 92m:34029 
Belonosov, V.S. The second Lyapunov’s method for abstract parabolic equations and its 
applications to equations with partial derivatives. 92j:34119 
(Borne, P.) see Lyapunov functions method and applications, 92i:34003 
Burov, A. A. (with Subkhankulov, G. I.) Some difference schemes for equations of 
dynamics that have first integrals. (Russian) 92h:34093 
Cai, Wei Xuan see Yang, Hong Kun; et al., 92i:34104 
Cao, Jun (with Zhou, Chu Ping) Stability of a class of biochemical systems. (Chinese. 
English summary) 92¢e:92027 
Chen, Bo Shan An improvement on the Razumikhin theorem. (Chinese) 92j:34133 
— Asymptotic stability of nonautonomous systems. 
Chou, Jyh Horng New approach for the stability analysis of linear time-varying state-space 
models. 92i:93064 
Elkhader, A. S. Global stability in a synthrophic chain model. 92d:92029 
Erbe, Lynn H. (with Liu, Xinzhi) On asymptotic stability for functional-differential 
systems. 92k:34101 
Filonenko, L. A. see Zevin, Aleksandr Aronovich, 92a:70016 
Fridman, L. M. Singular redefinitions of discontinuous systems, and stability. (Russian) 
92b:34030 
Furta, S. D. Asymptotic solutions of autonomous systems of differential equations in the 
critical case of several zero eigenvalues. (Russian) (see 92f:70001) 
Gerko, A. I. Some existence theorems of Lyapunov stable, Poisson stable, recurrent (in 
the sense of Birkhoff), distal and almost Bohr periodic solutions of multidimensional 
differential equations. (Russian. English and Moldavian summaries) 92h:34094 
Hill, David J. (with Mareels, Iven M. Y.) Stability theory for differential/algebraic systems 
with application to power systems. (see 92b:93007) 
Huang, Lin see Zhao, Yong Dong; et al., 92e:15028 
Jiang, Ji Fa Strongly monotone flows with positive Lyapunov stability. (Chinese) 
92e:34061 
Jin, Jun Uniform boundedness of solutions to a class of nonlinear differential equations. 
(Chinese. English summary) 92e:34045 
Kato, Junji A simple boundedness theorem for a Liénard equation with damping. 
92d:34069 
Koksal, Semen Boundedness properties and perturbing Lyapunov functions. 92m:34122 
Kozlov, Valerii V. see Vujiti¢, Veliko A., 92d:70019 and 92j:70024 
Krasil‘nikov, P.S. Generalized spaces of germs of smooth solutions of a first-order equation 
and their connection with the direct Lyapunov method. (Russian) 924:35069 
Kravets, T. F. An analytic criterion for the stability of the periodic motion of systems with a 
small parameter. (Russian) 92j:34100 
Kulesér, Stefan Boundedness and stability of solutions of a certain nonlinear differential 
equation of the second order. 92m:34107 
Kulev, G. K. (with Bainov, Drumi D.) Lipschitz stability of impulsive systems of differen- 
tial equations. 92m:34029 
— (with Bainov, Drumi D.) Global stability of the solutions of systems with impulse effect. 
92h:34104 
— (with Bainov, Drumi D.) Stability of the solutions of impulsive integro-differential 
equations in terms of two measures. (French summary) 92e:34106 
Kulik, V. L. see Mitropol’skii, Yu. A.; et al., 92m:34001 
Laederich, Stephane (with Levi, Mark L.) Invariant curves and time-dependent potentials. 
92g:58110 
Lakshmikantham, V. (with Leela, S.; Martynyuk, A. A.) * Practical stability of nonlinear 
systems. 92g:34067 
— Recent advances in the stability theory of nonlinear systems. 92h:01036 
— Recent advances in Lyapunov method for delay differential equations. 92e:34107 
— (with Leela, S.; Sivasundaram, S.) Lyapunov functions on product spaces and stability 
theory of delay differential equations. 92a:34086 
Leela, S. see Lakshmikantham, V.; et al., 92a:34086 and 92g:34067 
Leonov, G. A. (with Smirnova, V. B.) Nonlocal reduction method in differential equations 
theory. 92f:34048 
Levi, Mark L. see Laederich, Stephane, 92g:58110 
Lin, Fa Xing The existence of almost periodic solutions and periodic solutions. 92b:34050 
Liu, Xinzhi see Erbe, Lynn H.; et al., 92k:34101 
Makay, G. On the asymptotic stability in terms of two measures for functional-differential 
equations. 92b:34093 
Malikov, A. I. Vector Lyapunov functions in the problems of reliability and vitality of 
dynamic systems. (see 92i:34003) 
Mareels, Iven M. Y. see Hill, David J., (92b:93007) 
Martynyuk, A. A. (with Miladzhanov, V.G.) On the theory of stability of singularly 
perturbed Lur’e systems. (Russian. English and Serbo-Croatian summaries) 92a:34060 
— see also Lakshmikantham, V.; et al., 92g:34067 
(Matrosov, V. M.) see Lyapunov functions method and applications, 92i:34003 
Miladzhanov, V.G. On a form of aggregation of large-scale systems under structural 
perturbations. (Russian. English summary) 92j:34101 
— see also Martynyuk, A. A., 92a:34060 


ORDINARY DIFFERENTIAL EQUATIONS 1992 506 


Millionshchikov, V.M. Behavior of conditional stability with parameter change. (Russian) 
92d:34097 

Mitropol’skii, Yu. A. (with Samoilenko, A. M.; Kulik, V. L.) * MccneqosaHua QHx0TOMHH 
JIMHEHHBIX CHCTEM AuGiepeHUMabHbIX ypaBHeHHA C NOMOUIbIO PyHKUHA JlanyHosa. 
(Russian) [Studies in the dichotomy of linear systems of differential equations by means 
of Lyapunov functions] 92m:34001 

Nadirashvili, N.S. Les systemes dynamiques uniformément monotones. (English summary) 
[Uniformly monotone dynamical systems] 92g:34057 

Ohe, Takashi (with Yamamoto, Minoru) On the perturbation of expenential- 
asymptotically stable nonlinear systems. 92b:34056 

Ortega, Rafael Topological degree and stability of periodic solutions for certain differential 
equations. 92a:34042 

— The first interval of stability of a periodic equation of Duffing type. 92j:34090 

Papaschinopoulos, Garyfalos Dichotomies in terms of Lyapunov functions for linear 
difference equations. 92c:39009 

Samoilenko, A. M. see Mitropol’skii, Yu. A.; et al., 92m:34001 

Seifert, George Global asymptotic behavior of solutions of positively damped Liénard 
equations. 92d:34072 

Siljak, Dragoslav D. * Decentralized control of complex systems. 92b:93005 

Sivasundaram, S. see Lakshmikantham, V.; et al., 92a:34086 

Skowronski, J. M. * Nonlinear Liapunov dynamics. 92b:34004 

Smirnova, V. B. see Leonov, G. A., 92f:34048 

Subkhankulov, G.I. see Burov, A. A., 92h:34093 

Tsarkov, E. F. About parametric stochastic resonance. (Serbo-Croatian summary) 
92m:34130 

Tsinias, John Asymptotic feedback stabilization: a sufficient condition for the existence of 
control Lyapunov functions. 92a:93099 

— Existence of control Lyapunov functions and applications to state feedback stabilizability 
of nonlinear systems. 92c:93067 

Vujiti¢, Veljko A. (with Kozlov, Valerii V.) On equilibrium stability in a nonpotential force 
field. (Russian. English and Serbo-Croatian summaries) 92d:70019 

— (with Kozlov, Valerii V.) On the Lyapunov problem on stability with respect to given 
state functions. (Russian) 92j:70024 

Wang, Bing Hong” The globally asymptotic stability of the nonautonomous system. 
92e:34062 

Wang, Dong Ming Mechanical manipulation for a class of differential systems. 92g:58002 

Wiener, Z. Instability of a nonisolated equilibrium. 92i:70039 

Yamamoto, Minoru see Ohe, Takashi, 92b:34056 

Yang, Hong Kun (with Cai, Wei Xuan) The connective generalized exponential stability of 
delay systems. (Chinese. English summary) 92i:34104 

Zaitsev, V. V. The second Lyapunov method for estimates of domains of reachability of 
nonlinear systems. (Russian) 92c¢:34070 

Zeng, Fu Xiang The pseudoprime property of meromorphic solutions to a class of algebraic 
differential equations. (Chinese. English summary) 

Zevin, Aleksandr Aronovich (with Filonenko, L. A.) Forced oscillations of a nonlinear 
system with a repulsive positional force. (Russian) 92a:70016 

Zhang, Bo! On the retarded Liénard equation. 92i:34106 

Zhao, Jia Xiang Existence and stability of almost periodic solutions in two kinds of 
separable almost periodic equations. 92¢:34057 

Zhao, Yong Dong (with Huang, Lin) The geometric properties of the set of Lyapunov 
matrices and the stability of the matrix family. 92¢:15028 

Zhou, Chu Ping see Cao, Jun; et al., 92e:92027 


Items listed otherwise than by author 


Lyapunov functions method and applications * The Lyapunov functions method and 
applications. 92i:34003 


34D30 Structural stability and analogous concepts 
[see also 58F10, 58F 12] 


Li, Jun Ru (with Tu, Bo Xun) Stability of compound systems of ordinary linear differential 
equations. (Chinese. English summary) 92m:34121 

Lin, Fa Xing Almost-automorphic structurally stable [structural stability] of almost- 
automorphic differential equations. 92g:34065 

Tu, Bo Xun see Li, Jun Ru; et al., 92m:34121 


Items with secondary classifications in 34D30 

Hirsch, Morris W. Systems of differential equations that are competitive or cooperative. V. 
Convergence in 3-dimensional systems. 92h:58110 

— Systems of differential equations that are competitive or cooperative. IV. Structural 
stability in three-dimensional systems. 92h:58109 

Osipenko, G. S. Testing the transversality condition by the methods of symbolic dynamics. 
(Russian) 92b:58122 

Pilyugin, S. Yu. * Introduction to structurally stable systems of differential equations. 
92k:58145 

Pogonysheva, V. N. Stability of an attracting set with respect to the metric R,. (Russian. 
English summary) 92¢:58128 


34D35 Stability of manifolds of solutions 


Items with secondary classifications in 34D35 

Baris, Ya. S. (with Lykova, O. B.) Integral manifolds and the reduction principle in stability 
theory. III. (Russian. Ukrainian summary) 92m:34106 

Burov, A. A. (with Karapetyan, A. V.) Existence and stability of invariant sets of dynamical 
systems. (Russian) 92k:34055 

Karapetyan, A. V. see Burov, A. A., 92k:34055 

Kulik, V. L. see Mitropol’skii, Yu. A.; et al., 92m:34001 

Lykova, O. B. see Baris, Ya. S., 92m:34106 





507 1992 


Mitropol'skii, Yu. A. (with Samoilenko, A. M.; Kulik, V. L.) * Mccnenosanua 2uxOTOMHH 
JIMHEMHBIX CHCTEM AH epeHUMaIbHbIX ypaBHeEHHA C NOMOUIbIO byHKuHh JLanyHosa. 
(Russian) [Studies in the dichotomy of linear systems of differential equations by means 
of Lyapunov functions] 92m:34001 

Othmer, Hans G. see Watanabe, Masaji, 92j:34094 

Samoilenko, A. M. see Mitropol'skii, Yu. A.; et al., 92m:34001 

Vyshenskaya, O. V. On the invariant set of a dynamical system. (Russian) 92i:34014 

Watanabe, Masaji (with Othmer, Hans G.) Persistence of invariant tori in systems of 
coupled oscillators. II. Degenerate problems. 92j:34094 


34D40 Ultimate boundedness 


Koksal, Semen Boundedness properties and perturbing Lyapunov functions. 92m:34122 
Zhao, Xiao Qiang The qualitative analysis of n-species Lotka-Volterra periodic competition 
systems. 92h:34103 


Items with secondary classifications in 34D40 

Gasull, Armengol (with Sotomayor, Jorge) On the basin of attraction of dissipative planar 
vector fields. 92a:58088 

Krishna, S. V. (with Ravindranadh Babu, G. V.; Vasundhara Devi, J.) Dichotomies for 
impulsive differential systems. 92m:34032 

Li, Yong’ Asymptotic stability and ultimate boundedness. 92a:34053 

Ravindranadh Babu, G. V. see Krishna, S. V.; et al., 92m:34032 

Sotomayor, Jorge see Gasull, Armengol, 92a:58088 

Vasundhara Devi, J. see Krishna, S. V.; et al., 92m:34032 

Wang, Cheng Wen A class of functional response ecological systems with prey having 
constant rate of increase. (Chinese. English summary) 92k:34053 

Zhang, Bo! On the retarded Liénard equation. 92i:34106 


34D45 Attractors 


Borne, P. (with Richard, J.-P.) Local and global stability of attractors by use of vector 
norms. 92j:34106 

Leonov, G. A. Instability in attractors that are close to two-dimensional surfaces. (Russian) 
92g:34066 

Richard, J.-P. see Borne, P., 92j:34106 


Items with secondary classifications in 34D45 


Afraimovich, V.S. (with Reiman, A. M.) Dimension and entropy in multidimensional 
systems. (Russian) 92g:58080 

— On attractors. (Russian) 92h:58120 

— see also Aranson, I. S.; et al., 92i:58112 

Albano, A. M. (with Passamante, A.; Farrell, Mary Eileen) Using higher-order correlations 
to define an embedding window. 92i:58111 

Alexander, James C. (with Cai, Da Yong) On the dynamics of bursting systems. 92¢:92010 

Aranson, I.S. (with Afraimovich, V. S.; Rabinovich, M. I.) * Multidimensional strange 
attractors and turbulence. 92i:58112 

Artigue, M. (with Gautheron, V.; Isambert, E.) Une notion non standard d’attracteurs: les 
fleuves. [A nonstandard notion of attractors: rivers] 92e:58126 

Bartuccelli, M. (with Doering, Charles R.; Gibbon, John D.) Ladder theorems for the 2D 
and 3D Navier-Stokes equations on a finite periodic domain. 92b:35122 

Brindley, J. (with Kapitaniak, Tomasz) Analytic predictors for strange nonchaotic 
attractors. 924:58130 

Bunyakin, A. V. Singular points of the solution of the Lorenz system of differential 
equations. (Russian) 92j:34054 

Cai, Da Yong see Alexander, James C., 92c:92010 

Doering, Charles R. see Bartuccelli, M.; et al., 92b:35122 

Eden, A. (with Foias, Ciprian; Temam, Roger) Local and global Lyapunov exponents. 
924:58118 

Fabes, Eugene B. (with Luskin, Mitchell; Sell, George R.) Construction of inertial 
manifolds by elliptic regularization. 92b:34072 

Farrell, Mary Eileen see Albano, A. M.; et al., 92i:58111 

Flahaut, Isabelle Attractors for the dissipative Zakharov system. 924:35232 

Foias, Ciprian see Eden, A.; et al., 92d:58118 

Frank, G. W. (with Lookman, Turab; Nerenberg, M. A. H.) Recovering the attractor: a 
review of chaotic time-series analysis. 92b:58145 

Gautheron, V. see Artigue, M.; et al., 92e:58126 

Ghidaglia, Jean-Michel (with Marzocchi, A.) Finite-dimensional global attractors for 
strongly damped wave equations. (see 92k:35002) 

Gibbon, John D. see Bartuccelli, M.; et al., 92b:35122 

Giovannini, Franco (with Politi, Antonio) Homoclinic tangencies, generating partitions and 
curvature of invariant manifolds. 92d:58119 

Grassberger, Peter Information and complexity 
92:00011) 

Guttalu, Ramesh S. see Skowronski, J. M., 92d:58123 

Harris, Christopher A simplex approach to the optimum determination of the domain of 
attraction. 92f:34044 

Hirsch, Morris W. Systems of differential equations that are competitive or cooperative. V. 
Convergence in 3-dimensional systems. 92h:58110 

Hofbauer, Josef (with Sigmund, Karl) Permanence for replicator equations. (see 
92b:00038) 

Isambert, E. see Artigue, M.; et al., 92e:58126 

Jimbo, Shuichi see Morita, Yoshihisa, 92m:35134 

Kapitaniak, Tomasz see Brindley, J., 92d:58130 

Kimoto, Masahide see Mukougawa, Hitoshi; et al., 92e:86001 

Kostin, I. N. A regular approach to a problem on the attractors of singularly perturbed 
equations. (Russian. English summary) 92i:34083 

Ladyzhenskaya, O. A. * Attractors for semigroups and evolution equations. 92k:58040 

Leonov, G. A. An estimate for the Hausdorff dimension of the attractors of dynamical 
systems. (Russian) 92f:58102 





in dy: ical sy . (see 


34D Stability theory 


34D99 


Lookman, Turab see Frank, G. W.; et al., 92b:58145 

Lozi, René (with Ushiki, Shigehiro) Coexisting chaotic attractors in Chua’s circuit. 
92m:58089 

Laskin, Mitchell see Fabes, Eugene B.; et al., 92b:34072 

Malinetskii, G.G. (with Potapov, A.B.) The geometry of strange attractors and determina- 
tion of Lyapunov exponents from time series. (Russian. English summary) 92m:58090 

Marzocchi, A. see Ghidaglia, Jean-Michel, (92k:35002) 

Melbourne, Ian An example of a nonasymptotically stable attractor. 92f:58093 

Miyazaki, Syuji see Yoshida, Takeshi, 92d:58125 

Morita, Yoshihisa (with Jimbo, Shuichi) Ordinary differential equations (ODEs) on inertial 
manifolds for reaction-diffusion systems in a singularly perturbed domain with several 
thin channels. 92m:35134 

Mukougawa, Hitoshi (with Kimoto, Masahide; Yoden, Shigeo) A relationship between local 
error growth and quasistationary states: case study in the Lorenz system. 92¢:86001 

Nerenberg, M. A. H. see Frank, G. W.; et al., 92b:58145 

Passamante, A. see Albano, A. M.,; et al., 92i:58111 

Pliss, V. A. (with Sell, George R.) Perturbations of attractors of differential equations. 
92f:58094 

Politi, Antonio see Giovannini, Franco, 92d:58119 

Potapov, A. B. see Malinetskii, G. G., 92m:58090 

Promislow, Keith (with Temam, Roger) Localization and approximation of attractors for 
the Ginzburg-Landau equation. 92m:58121 

Rabinovich, M.1. see Aranson, I. S.; et al., 92i:58112 

Reiman, A. M. see Afraimovich, V. S., 92g:58080 

Ryan, E. P. Finite-time stabilization of uncertain nonlinear planar systems. (see 92h:93007) 

Sell, George R. see Fabes, Eugene B.; et al., 92b:34072 and Pliss, V. A., 92£:58094 

Sigmund, Karl see Hofbauer, Josef, (92b:00038) 

Skowronski, J. M. (with Guttalu, Ramesh S.) Real-time attractors. 92d:58123 

Taboada, Mario Approximate inertial manifolds for parabolic evolutionary equations via 
Yosida approximations. 92m:34146 

Temam, Roger see Eden, A.; et al., 92d:58118 and Promislow, Keith, 92m:58121 

Ushiki, Shigehiro see Lozi, René, 92m:58089 

Yoden, Shigeo see Mukougawa, Hitoshi; et al., 92¢:86001 

Yoshida, Takeshi (with Miyazaki, Syuji) Global bifurcations and fluctuation spectra of 
local expansion rates in nonlinear dynamical systems. 92d:58125 

Yu, Shu Xiang Applications of the theory of isolating blocks in the planar qualitative theory 
of differential equations. (Chinese) 92¢e:34059 

Zanolin, Fabio Permanence and positive periodic solutions for Kolmogorov competing 
species systems. 92m:34097 

Zhao, Xiao Qiang The qualitative analysis of n-species Lotka-Volterra periodic competition 
systems. 92h:34103 

Zheng, Zhi Ming Qualitative analysis of van der Pol type equation with periodic forcing 
term. 924:34079 


34D99 None of the above, but in this section 


Alchekov, A. K. Stability of a linear system with Poisson impulse action. (Russian) 
92b:34059 

Ashirov, O. A. (with Perestyuk, N. A.) The freezing method in systems with impulse action. 
(Russian. Ukrainian summary) 92m:34123 

Bainov, Drumi D. see Dishliev, A. B., 92d:34109; Kulev, G. K., 92d:34110 and 92h:34104 

Belyaeva, A. N. (with Egorov, I. G.) On the Aizerman problem for a second-order system. 
(Russian) 92j:34107 

Bereketoglu, Hiiseyin On the instability of trivial solutions of a class of eighth-order 
differential equations. 92d:34108 

Dishliev, A. B. (with Bainov, Drumi D.) Uniform stability with respect to the impulsive 
perturbations of the solutions of differential equations with impulses. (Italian summary) 
92d:34109 

Egorov, I. G. see Belyaeva, A. N., 92j:34107 

He, Jian Xun Concise criteria for strong practical stability of discontinuous systems. 
(Chinese. English summary) 

Ikegami, Giké Constrained stability for nonlinear electrical circuits. (see 92m:58003) 

Kulev, G. K. (with Bainov, Drumi D.) Lipschitz quasistability of impulsive systems of 
differential equations. 92d:34110 

— (with Bainov, Drumi D.) Global stability of the solutions of systems with impulse effect. 
92h:34104 

Lakshmikantham, V. (with Leela, S.; Martynyuk, A. A.) * Practical stability of nonlinear 
systems. 92g:34067 

Leela, S. see Lakshmikantham, V.; et al., 92g:34067 

Leonov, G. A. (with Smirnova, V. B.) Nonlocal reduction method in differential equations 
theory. 92f:34048 

Liu, Xinzhi Stability analysis for impulsive differential equations in terms of two different 
measures. 92k:34066 

Lyapunov, I. B. An algorithm for investigating the stability of solutions of Hamiltonian 
systems with periodic coefficients. (Russian) (see 92¢:00016) 

Martynyuk, A. A. see Lakshmikantham, V.; et al., 92g:34067 

Pakshin, P. V. Stability of rand ameter and random-structure linear systems. 
(Russian) 92k:34067 

Perestyuk, N. A. see Ashirov, O. A., 92m:34123 

Smirnova, V. B. see Leonov, G. A., 92f:34048 











Items with secondary classifications in 34D99 


Adam, John A. Solution uniqueness and stability criteria for a model of growth factor 
production. 

Adams, Ernst Wilhelm (with Cordes, D.; Keppler, H.) Enclosure methods as applied to 
linear periodic ODEs and matrices. (German and Russian summaries) 92a:34012 

Alekseeva, E. 1. (with Kirzhner, V.M.) Dependence of the stability of a set of dynamical 
systems on the structure of the coupling between them. (Russian) 92d:34098 

Alymkulov, E. D.-A. Some aggregation and stability problems for systems of ordinary 
differential equations. (Russian) 92j:34019 





34D99 


Ananich, T.I. Nonlinear periodic systems with a linear Poincaré mapping. (Russian) 
92h:34080 

Bainov, Drumi D. see Milev, N. V., 92j:34025; Simeonov, P. S., 92m:34028 and Kulev, G. K.., 
92m:34029 

Billeke G., J. see Burgos, H., 924:34060 

Burgos, H. (with Billeke G., J.) Stability problems of perturbed Liénard equations by 
polynomials in 0/dy direction. (Spanish) 924:34060 

Busenberg, Stavros N. (with Hadeler, K. P.) Demography and epidemics. 92d:92026 

Capelo, Anténio C. * Modelli matematici in biologia. (Italian) [Mathematical models in 
biology] 92i:92001 

Chen, Xiu Dong (with Li, Jia Xu; Fan, Hong Yi?) Harmonic solutions to the equation 
X + f(x)x + g(x) =p(t). (Chinese) 92c:34048 

Cheng, Jian (with Wojtkowski, Maciej P.) Linear stability of a periodic orbit in the system 
of falling balls. 92h:58065 

Cordes, D. see Adams, Ernst Wilhelm; et al., 92a:34012 

Dell’Antonio, Gianfausto Periodic solutions near the Lagrange equilibrium points in the 
restricted three-body problem, for mass ratios near Routh’s critical value. 92a:34039 

Dzhumabaev, D.S. Approximation of a bounded solution, and exponential dichotomy on 
the line. (Russian) 92j:34028 

Endovitskii, I. I. On the problem of the stability of solutions of a second-order linear 
equation. (Russian) 92f:34018 

Fan, Hong Yi? see Chen, Xiu Dong; et al., 92c:34048 

Farkas, M. On the stability of one-predator two-prey systems. 92b:92050 

Fernandes, M. L.C. (with Zanolin, Fabio) Repelling conditions for boundary sets using 
Liapunov-like functions. II. Persistence and periodic solutions. 92a:58079 

Furta, S.D. Asymptotic solutions of autonomous systems of differential equations in the 
critical case of several zero eigenvalues. (Russian) (see 92f:70001) 

— The instability of equilibrium positions of constrained mechanical systems. (Russian. 
English summary) 92b:70026 

Gahinet, Pascal M. (with Laub, Alan J.; Kenney, Charles S.; Hewer, Gary A.) Sensitivity of 
the stable discrete-time Lyapunov equation. 92a:93071 

Gerencsér, Laszl6 Almost sure exponential stability of random linear differential equations. 
92i:34077 

Goncharenko, V. I. On the stabilization of the motion of linear systems. (Russian. English 
summary) 92j:70021 

Gouzé, Jean-Luc Stabilisation globale de systemes non-linéaires par un contrdle positif. 
(English summary) [Global stabilization of nonlinear systems by a positive control] 
92b:93062 

Hadeler, K.P. Modeling AIDS in structured populations. (French summary) 92¢:92013 

— see also Busenberg, Stavros N., 92d:92026 

He, Chong You see Sun, Jian Hua; et al., 92i:34057 

Hewer, Gary A. see Gahinet, Pascal M.; et al., 92a:93071 

Hong, Jia Lin Exponential trichotomy and uniformly characteristic exponents of differen- 
tial systems. 92k:34007 

Ignat'ev, A.O. On the instability of the equilibrium position of a linear oscillator with 
variable parameters. (Russian) 92j:70022 

Ikeda, Masao (with Ohta, Yuzo; Siljak, Dragoslav D.) Parametric stability. 92f:93077 

Ilchenko, A. V. Investigation of the stability of a class of systems of stochastic differential 
equations with nonregular dependence on a small parameter. (Russian) 92j:34112 

Johnson, C.D. see Zhu, Jianchao, 92b:15024 

Karigl, Ginther Global stability in a nonautonomous discrete growth system. 92a:39002 

Kenney, Charles S. see Gahinet, Pascal M.; et al., 92a:93071 

Keppler, H. see Adams, Ernst Wilhelm; et al., 92a:34012 

Kertész, V. (with Kooij, Robert E.) Degenerate Hopf bifurcation in two dimensions. 
92i:58095 

Kirzhner, V.M. see Alekseeva, E. I., 92d:34098 

Konosevich, B. I. On a criterion for Routh-Lyapunov-Salvadori stability. (Russian) 
92k:34064 

Kooij, Robert E. see Kertész, V., 92i:58095 

Kozlov, Valerii V. The stability of equilibrium positions in a nonstationary force field. 
(Russian) 92b:70027 

Kulev, G. K. (with Bainov, Drumi D.) Lipschitz stability of impulsive systems of differen- 
tial equations. 92m:34029 

Kulik, A. N. see Kulik, V. L., 92h:34022 

Kulik, V. L. (with Kulik, A. N.) On the existence of sign-variable Lyapunov functions for 
linear systems of differential equations. (Russian) 92h:34022 

Kuz'mina, L. K. Methods of stability theory in solving the singularly perturbed problems. 
(see 92i:34003) 

Laptinskii, V. N. The problem of stabilizing the rotational motions of a dynamically 
symmetric satellite. (Russian. English summary) 92j:70030 

Laub, Alan J. see Gahinet, Pascal M.; et al., 92a:93071 

Leonov, G. A. Instability in attractors that are close to two-dimensional surfaces. (Russian) 
92g:34066 

Levakov, A. A. Stability of I-systems. (Russian) 92k:54051 

Li, Jia Xu see Chen, Xiu Dong; et al., 92c:34048 

Lin, Fa Xing On the relationship between exponential dichotomies and Fredholm operator. 

Lin, Wen Gou see Wang, Shun Hsiang, 92k:93096 

Malyshev, Yu. V. (with Zakharov, V. P.) Linear generalized Lyapunov functions and limit 
cycles. (Russian) 92¢:34036 

Matsuno, Yoshimasa Two-dimensional dynamical system associated with Abel’s nonlinear 
differential equation. 92h:34025 

Megan, Mihail (with Preda, Petre) Conditions for exponential stability of difference 
equations in Banach spaces. 92j:93081 

Milev, N. V. (with Bainov, Drumi D.) Dichotomies for linear impulsive differential 
equations with variable structure. 92j:34025 

Mirollo, Renato E. see Strogatz, Steven H., 92h:34077 

Murdock, James A. * Perturbations. 92i:34067 

Ohta, Yuzo see Ikeda, Masao; et al., 92f:93077 

Parnev, I. V. Some problems of integration in closed form and of the stability of systems of 
differential equations. (Russian) (see 92e:00011) 


ORDINARY DIFFERENTIAL EQUATIONS 


Preda, Petre see Megan, Mihail, 92j:93081 

Scarpellini, Bruno Center manifolds of infinite dimensions. I. Main results and applications. 
92i:58170 

— Center manifolds of infinite dimensions. II. Proofs of the main results. 92i:58171 

Shevchenko, K. N. Stability of oscillations of a mathematical pendulum on a moving frame 
at upper and lower points of the trajectory. (Russian) 

Siljak, Dragoslav D. see Ikeda, Masao; et al., 92f:93077 

Simeonov, P.S. (with Bainov, Drumi D.) On the asymptotic properties of the solutions of 
systems of differential equations with impulse effect. 92m:34028 

Smith, Hal L. Periodic tridiagonal competitive and cooperative systems of differential 
equations. 92g:34041 

Spezamiglio, Adalberto Bounded solutions of ordinary differential equations, and stability. 
(Portuguese. English summary) 92h:34073 

Strogatz, Steven H. (with Mirollo, Renato E.) Stability of incoherence in a population of 
coupled oscillators. 92h:34077 

Sun, Jian Hua (with He, Chong You) Almost periodic solution for the system ¥ + f(x)x + 
e(t)g(x) = A(t). (Chinese summary) 92i:34057 

Tang, Mo Xun Persistence of a class of higher-dimensional population dynamical systems. 
(Chinese. English summary) 92c:92033 

Tomberg, E. A. Self-induced oscillations in nonlinear systems. (Russian) 92k:34044 

Veremenyuk, V. V. The existence of the rotation number of the equation x = A(t, x) witha 
right-hand side that is periodic in x and almost periodic in ¢. (Russian) 92h:34098 

Vinograd, Robert E. Exact bounds for exponential dichotomy roughness. III. Semistrong 
dichotomy. 92e:34047 

Wang, Fu Jun A three-dimensional prey-predator patch model. (Chinese. English summary) 

Wang, Shun Hsiang (with Lin, Wen Gou) A new approach to the stability analysis of 
interval systems. 92k:93096 

Wang, Yu Quan The limit cycle and the global stability of a class of biochemical reaction 
models. (Chinese summary) 92b:92014 

Wojtkowski, Maciej P. see Cheng, Jian, 92h:58065 

Yakubovich, V. A. Stability of nonlinear systems with periodically nonstationary linear part. 
92k:93092 

Zaghrout, Afaf A.S. Asymptotic behavior of solutions of competition in gradostat with two 
limiting complementary substrates. 

Zakharov, V.P. see Malyshev, Yu. V., 92c:34036 

Zanolin, Fabio see Fernandes, M. L. C., 92a:58079 

Zhu, Jianchao (with Johnson, C. D.) Unified canonical forms for matrices over a 
differential ring. 92b:15024 

Zoladek, Henryk Remarks on the delay of the loss of stability of systems with changing 
parameter. 92f:34033 


34Exx Asymptotic theory 
Murdock, James A. * Perturbations. 92i:34067 


Items with secondary classifications in 34Exx 

Filippova, G. V. see Markush, I. I., 92m:01038 

Markush, I. I. (with Filippova, G. V.) Ya. D. Tamarkin’s investigations on asymptotic 
methods in the theory of ordinary linear differential equations that contain a large 
parameter. (Russian) 92m:01038 

(Tamarkin, Ya. D.) see Markush, I. I., 92m:01038 


34E05 Asymptotic expansions 


Airault, Hélene Two asymptotic expansions: solutions of v” = Av’ + v" — v and solutions of 
P(dP/dv)=AP + v" — v. (see 92m:00040) 

Alabau, Fatiha Uniform asymptotic error estimates for semiconductor device and 
electrochemistry equations. 92i:34068 

Al-Hammadi, A.S. A. Asymptotic theory for third-order differential equations with 
extension to higher odd-order equations. 92¢:34059 

— see also Eastham, M. S. P., 92b:34060 

Chernyshov, K. I. Asymptotic expansions of solutions of an equation with a Fredholm 
operator in front of the derivative in the critical case. 92a:34055 

— On the asymptotics of the solution of a linear reduced equation. (Russian) 92m:34124 

Dochev, Docho T. (with Zhukovskii, V. I.) A mean-square and arbitrated solution to a 
multicriterial problem with uncertainty. (Bulgarian. English and Russian summaries) 

Eastham, M.S. P. (with Al-Hammadi, A. S. A.) Asymptotic solution of differential 
equations with small oscillatory coefficients. 92b:34060 

Geluk, J. L. On slowly varying solutions of the linear second order differential equation. 
92d:34111 

Hanson, F. B. see Wazwaz, Abdul-Majid, 92j:34109 

Johri, A. K. see Varshney, J. P., 92b:34061 

Qiao, Zong Chun On the asymptotic solutions for a class of second order differential 
equations with slowly varying coefficients. (Chinese. English summary) 92m:34125 

Shawagfeh, N. T. Nonperturbative series solution for a nonlinear differential equation. 
92j:34108 

Shimomura, Shun On an asymptotic property of a nonlinear ordinary differential equation. 
92k:34068 

Tamanyan, G. Yu. Estimation of the remainders of asymptotic expansions of solutions of 
higher-order equations. (Russian) 92a:34056 

Tseryanov, M. P. Asymptotic solutions for some classes of systems of differential equations 
with fast and slow variables. I. (Bulgarian. English and Russian summaries) 

— On asymptotic solutions of some classes of systems of differential equations with fast and 
slow variables. II. (Bulgarian. English and Russian summaries) 

Varshney, J. P. (with Johri, A. K.) Asymptotic behaviour of Falkner-Skan equation in the 
boundary layer flows through porous media. 92b:34061 

Voskresenskii, E. V. On the asymptotic behavior of solutions of nonlinear differential 
equations. (Russian. Ukrainian summary) 92h:34105 

Wazwaz, Abdul-Majid (with Hanson, F. B.) Moments of extinction for a singular 
perturbation problem in the diffusion process. 92j:34109 





509 1992 


Zemnov, A. E. On the asymptotic behavior of solutions of a Cauchy problem. (Russian. 
Ukrainian summary) 92d:34112 
Zhukovskii, V. 1. see Dochev, Docho T. 


Items with secondary classifications in 34E05 

Abgaryan, K. A. Holomorphic quasidiagonalization of a square matrix. (Russian) 
92g:15001 

Blais, Francois Fleuves critiques. (English summary) [Critical rivers] 92k:58220 

Can, Mehmet see Khan, Tariq M., 92b:34005 and 92b:34006 

Cassell, J.S. Nonresonant solutions of the perturbed harmonic oscillator and related 
differential systems. 92¢:34048 

Du, Jing De Singularly perturbed boundary value p for a class of higher-order 
semilinear equations. (Chinese. English summary) 92b:34062 

Exton, Harold On the biconfluent Heun equation. 92h:34018 

Fitouhi, A. (with Hamza, M. M.) A uniform expansion for the eigenfunction of a singular 
second-order differential operator. 92a:33006 

Frank, L.S. On a singularly perturbed eigenvalue problem in the theory of elastic rods. 
92j:34110 

Gasymov, E. A. Asymptotic formulas and an inversion formula for solutions of some linear 
differential systems of equations with a parameter. (Russian. English and Azerbaijani 
summaries) 924:34019 

Ray d Sur le théoréme de Maillet. [On Maillet’s theorem] 92j:34013 

Gudkov, V. V. (with Zmitrenko, N. V.) Asymptotic behavior of the solutions of a system 
of ordinary differential equations that arise in a self-similar problem on the heating of a 
spherical target. (Russian. English and Latvian summaries) (see 92f:34001) 

Hamza, M. M. see Fitouhi, A., 92a:33006 

Harris, B. J. A note on the asymptotic series associated with a certain Titchmarsh-Weyl m- 
function. 92g:34028 

Joye, A. (with Pfister, Charles-Edouard) Full asymptotic expansion of transition probabili- 
ties in the adiabatic limit. 92e:81022 

Kakishov, K. K. Singularly perturbed sy of Fredholm-type nonlinear integro- 
differential equations in cases when the degenerate equation has discontinuous solutions. 
(Russian) 92b:34096 

Khan, Tariq M. (with Can, Mehmet) The initial value problem and some special solutions 
of the fourth Painlevé equation. (Turkish summary) 92b:34005 

— (with Can, Mehmet) On the special solutions of the second Painlevé equation. (Turkish 
summary) 92b:34006 

Krein, S. G. (with Tovbis, A.I.) Linear singular differential equations in finite-dimensional 
and Banach spaces. (Russian) 92e:34003 

Motylev, L. Yu. Asymptotics near a turning point for a second-order nonlinear equation. 
(Russian) 92h:34108 

Novokshénov, V. Yu. The Boutroux ansatz for the second Painlevé equation in the complex 
domain. (Russian) 92¢:34006 

Pfister, Charles-Edouard see Joye, A., 92e:81022 

Pinto, Manuel Intégration asympiotique des équations différentielles ordinaires non- 
linéaires. [Asymptotic integration of nonlinear ordinary differential equations] (see 
92m:00038) 

— Intégration asymptotique des équations différentielles ordinaires non-linéaires. [Asymp- 
totic integration of nonlinear ordinary differential equations] (see 92m:00038) 

— Continuation, nonoscillation and asymptotic formulae of solutions of second order 
nonlinear differential equations. 92e:34014 

Puttaswamy, T. K. Solution in the large of a certain Nth order differential equation. 
92h:34016 

Reyna, Luis G. (with Ward, Michael J.) Drift-dominated current flow in forward-biased 
semiconductor devices. 92m:78020 

Sandrakov, G. V. On a problem of H. Poincaré. (Russian) 92h:34084 

Schiifke, R. (with Volkmer, H.) On the formal fundamental solution of a differential 
equation depending on a parameter. 92f:34005 

Sibuya, Yasutaka Gevrey asymptotics and Stokes multipliers. 92j:34012 

Slavyanov, S. Yu. * AcumnToTuka pemieHuit ofHOMepHoro ypaBHenua [I pequnrepa. 
(Russian) [Asymptotic behavior of solutions of a one-dimensional Schrédinger equation] 
92h:34002 

Tao, Ming De Asymptotic solutions of Mathieu equation with damping. (Chinese. English 
summary) 

Tovbis, A. I. see Krein, S. G., 92e:34003 

Volkmer, H. see Schifke, R., 92f:34005 

Ward, Michael J. see Reyna, Luis G., 92m:78020 

Wazwaz, Abdul-Majid On the asymptotic solutions of a differential equation with multiple 
singular points. 92d:34115 

Yakovets, V. P. Asymptotic behavior of solutions of a class of linear singularly perturbed 
systems. (Russian. English summary) 92¢:34062 

Zhang, Ju Ling Extended Airy function and differential equations with n-turning points. 
(Chinese. English summary) 92i:34075 

Zhukova, G.S. Asymptotic behavior of the solutions of a class of linear systems with a 
degenerate matrix multiplying the derivative. (Russian) 92b:34063 

— Asymptotic behavior of solutions of a system of linear nonhomogeneous singularly 
perturbed differential equations. (Russian. Ukrainian summary) 92¢:34070 

Zmitrenko, N. V. see Gudkov, V. V., (92f:34001) 











34E10 Perturbations, asymptotics 
Chen, Shao Zhu Asymptotic integrations of nonoscillatory second order differential 
equations. 92a:34057 


Dai, Shi Qiang Generalization of the method of full approximation and its applications. 
(Chinese. English summary) 92g:34068 


Items with secondary classifications in 34E10 


Bogaevskii, V.N. (with Povzner, A.) * Algebraic methods in nonlinear perturbation 
theory. 92j:34002 


34E Asymptotic theory 


34E15 


Bourland, F. Jay (with Haberman, Richard) Separatrix crossing: time-invariant potentials 
with dissipation. 92d:34073 

— (with Haberman, Richard; Kath, William L.) Averaging methods for the phase shift 
of arbitrarily perturbed strongly nonlinear oscillators with an application to capture. 
92k:34041 

Chang, Yi-Hua (with Segur, Harvey) An asymptotic symmetry of the rapidly forced 
pendulum. 92h:34074 

Eastham, M.S. P. The number of resonant states in perturbed harmonic oscillation. 
924:34075 

Filippov, V. V. Asymptotic integration of ordinary differential equations with discontinu- 
ities in the right-hand side. (Russian) 92m:34031 

Haberman, Richard see Bourland, F. Jay, 92d:34073 and 92k:34041 

Kath, William L. see Bourland, F. Jay; et al., 92k:34041 

Krétzsch, Guillermo see Wolf, Kurt Bernardo, 92m:58050 

Povzner, A. see Bogaevskii, V. N., 92j:34002 

Sandrakov, G. V. Evolution of resonances under perturbation of a system with constant 
frequencies. (Russian) 92g:34047 

Segur, Harvey see Chang, Yi-Hua, 92h:34074 

Voskresenskii, E. V. Lyapunov functions and the asymptotic behavior of solutions of 
perturbed differential equations. (Russian) 92h:34027 

— The direct Lyapunov method in the theory of asymptotic equivalence of differential 
equations. (Russian. Ukrainian summary) 92a:34014 

Wolf, Kurt Bernardo (with Krétzsch, Guillermo) Group-classified polynomials of phase 
space in higher-order aberration expansions. 92m:58050 


34E15 Singular perturbations, general theory 


Adizié, Nevenka On orthogonal series solution for boundary layer problems. 92:34049 

Altynnikova, L. A. A variant of the method of integral identities for a first-order equation 
with a small parameter multiplying the derivative. (Russian) 92g:34069 

Belikov, S. A. (with Samborskii, S. N.) “Canard”-cycles of fast-slow fields with a one- 
dimensional slow component. (Russian) 92f:34050 

Biadilov, N. B. A second-order singularly perturbed quasilinear differential equation with an 
internal initial jump. (Russian. Kazakh summary) 92g:34070 

Bobochko, V. N. (with Kolomiets, V.G.) Asymptotic integration of an equation of Orr- 
Sommerfeld type. (Russian) 92c¢:34060 

— A singularly perturbed Cauchy problem with a turning point. (Russian) 92k:34069 

Butuzov, V. F. see Vasil’eva, A. B., 92i:34072 

Corless, Martin Asymptotic stability of singularly perturbed systems that have marginally 
stable boundary-layer systems. 92¢:34066 

Du, Jing De Singularly perturbed boundary value problems for a class of higher-order 
semilinear equations. (Chinese. English summary) 92b:34062 

Frank, L.S. On a singularly perturbed eigenvalue problem in the theory of elastic rods. 
92j:34110 

Georgiou, M. (with Olmstead, W. E.) Some Fredholm equations with boundary layer 
resonance. 92f:34051 

Glangetas, Léo Sur une limite singuliére d’un systéme d’équations différentielles. (English 
summary) [On a singular limit of a system of differential equations] 92d:34113 

Gu, Zhong-Mei A method for solving singularly perturbed systems containing singular 
manifolds. 92j:34111 

Ikegami, Giké Show the existence of higher-dimensional ducks. (see 92m:58003) 

Ishii, Hiroyuki Singular perturbation problems for higher order differential equations. 
Interior transition layer phenomena, multiple solutions. 92g:34071 

Jeffries, John S. (with Smith, Donald Ray) The Dirichlet problem for a quasilinear 
singularly perturbed second order system. 92g:34072 

— Astrongly coupled singularly perturbed quasilinear second-order system. 92i:34069 

Karpenko, Yu. I. see Shkil’, N. I., 92g:34074 

Kolesov, A. Yu. A new class of relaxation systems in general position. (Russian) 92e:34067 

Kolomiets, V.G. see Bobochko, V. N., 92c:34060 

Korzhavin, A.O. Asymptotic solution of a singularly perturbed Cauchy problem. (Russian) 
92d:34114 

Kuz'mina, L. K. Methods of stability theory in solving the singularly perturbed problems. 
(see 92i:34003) 

— On the solution of a singularly perturbed problem on stability. (Russian) 92k:34070 

Kuz'mina, R. P. Asymptotic behavior of the solution of differential equations with integer 
powers of the small parameter multiplying the derivatives. (Russian) 92m:34126 

Lin, Zong Chi Estimation of solutions to a class of fourth-order nonlinear differential 
equations with boundary perturbations. (Chinese) 92a:34058 

— Singular perturbation of second-order nonlinear systems with nonlinear boundary 
conditions. (Chinese. English summary) 92m:34127 

Liu, Shu De Nonmonotone interior layer theory for singularly perturbed nonlinear 
boundary value problems with generalized turning points. 92g:34073 

Lomov, S. A. Sharpening the concept of an asymptotic series for singularly perturbed 
problems. (Russian) 92a:34059 

Martynyuk, A. A. (with Miladzhanov, V.G.) On the theory of stability of singularly 
perturbed Lur’e systems. (Russian. English and Serbo-Croatian summaries) 92a:34060 

Mika, Janusz R. (with Palczewski, Andrzej) Asymptotic analysis of singularly perturbed 
systems of ordinary differential equations. 92¢:34068 

Miladzhanov, V.G. see Martynyuk, A. A., 92a:34060 

Miller, John J. H. (with Mullarkey, Edward; O’Riordan, Eugene; Shishkin, G.I.) A 
simple recipe for uniformly convergent finite-difference schemes for singularly perturbed 
problems. (French summary) 92¢:34069 

Mullarkey, Edward see Miller, John J. H.; et al., 92e:34069 

Ni, Shou Ping The second boundary layer phenomena for initial value problems of 
nonlinear vector equations with singular perturbations. (Chinese. English summary) 

Olmstead, W. E. see Georgiou, M., 92£:34051 

O’Malley, Robert E., Jr. Different perspectives on some singular perturbation problems. 
92i:34070 

— * Singular perturbation methods for ordinary differential equations. 92i:34071 





34E15 


— Singular perturbations, asymptotic evaluation of integrals, and computational challenges. 
(see 92b:00035) 

O'Riordan, Eugene see Miller, John J. H.; et al., 92e:34069 

Palczewski, Andrzej see Mika, Janusz R., 92e:34068 

Pu, Lai Wu Asymptotic solutions to boundary value problems for a class of singularly 
perturbed third-order systems. (Chinese. English summary) 

Samborskii, S. N. see Belikov, S. A., 92f:34050 

Shishkin, G.I. see Miller, John J. H.; et al., 92e:34069 

Shkil’, N. I. (with Karpenko, Yu. I.) Asymptotic solution of a singularly perturbed second- 
order system with point resonance. (Russian. English summary) 92g:34074 

Skripnik, V. P. Systems with a small nonsymmetric matrix multiplying the derivative. 
(Russian. Ukrainian summary) 92a:34061 

Smith, Donald Ray see Jeffries, John S., 92g:34072 

Starun, I. I. Solution of the Cauchy problem for a singularly perturbed linear system. 
(Russian. Ukrainian summary) 92f:34052 

Trandafir, Paula-Manuela Asymptotic study of a singular perturbation problem. (Roma- 
nian) 92m:34128 

Vasil‘eva, A. B. (with Butuzov, V. F.) * AcummToTH4eckHe MeTOBI B TCOpHH CHHTYAPHBIX 
Bo3sMymeHH. (Russian) [Asymptotic methods in the theory of singular perturbations] 
92i:34072 

Wallet, Guy Surstabilité pour une équation différentielle analytique en dimension un. 
(English summary) [Superstability for an analytic differential equation in dimension one] 
92¢:34061 

Wazwaz, Abdul-Majid On the asymptotic solutions of a differential equation with multiple 
singular points. 924:34115 

Yakovets, V. P. Asymptotic behavior of solutions of a class of linear singularly perturbed 
systems. (Russian. English summary) 92c:34062 

— Asymptotic behavior of a general solution of a singularly perturbed linear system in the 
case of a singular pencil of limit matrices. (Russian. English summary) 92i:34073 

Zhang, Xiang Boundary and interior layer behavior for singularly perturbed vector problem. 
(Chinese. English summary) 92g:34075 

Zhao, Wei Li Singular perturbations of boundary value problems for a class of third order 
nonlinear ordinary differential equations. 92¢:34063 

Zhukova, G.S. Asymptotic behavior of the solutions of a class of linear systems with a 
degenerate matrix multiplying the derivative. (Russian) 92b:34063 

— Asymptotic behavior of solutions of a system of linear nonhomogeneous singularly 
perturbed differential equations. (Russian. Ukrainian summary) 92¢:34070 


Items with secondary classifications in 34E15 

Adzié, Nevenka On the spectral approximation for boundary value problems. (Serbo- 
Croatian summary) 92b:65052 

Artigue, M. (with Gautheron, V.; Isambert, E.) Une notion non standard d’attracteurs: les 
fleuves. [A nonstandard notion of attractors: rivers] 92e:58126 

Ashyralyev, A. (with Fattorini, H.O.) On uniform difference schemes for second-order 
singular perturbation problems in Banach spaces. 92k:65143 

Bainov, Drumi D. see Voulov, H. D., 92b:34094 

Bajaj, A.K. see Happawana, G. S.; et al., 92i:70037 

Barbot, J.-P. (with Pantalos, N.) Using symbolic calculus for singularly perturbed nonlinear 
systems. (see 92i:93004) 

Batard Martinez, Lorgio The Euler equation with a small parameter. 92m:34005 

Biadilov, N. B. see Kasymov, K. A. 

Bibikov, Yu. N. Bifurcation of a stable invariant torus from the equilibrium state. (Russian) 
92b:58152 

Bogaevskii, V. N. (with Povzner, A.) * Algebraic methods in nonlinear perturbation 
theory. 92j:34002 

Burkov, I. V. Stabilization of the motion of a rigid and an elastic robot by means of strong 
feedback. (Russian. English summary) 92d:70026 

Candelpergher, Bernard (with Diener, Francine; Diener, Marc) Retard a la bifurcation: du 
local au global. [Delay to bifurcation: from local to global] 92k:58188 

Casasis Latorre, Luis see Gonzalez Pinto, Severiano; et al., 92k:65104 and (92b:00044) 

Chapman, P. B. (with Noakes, J. Lyle) Singular perturbations and interpolation—a 
problem in robotics. 92m:70003 

Chen, Xiu Singular perturbation of two-point boundary value problems for a class of 
nonlinear systems of higher order. (Chinese. English summary) 92m:34053 

Cherevko, I. M. see Fodchuk, V. I., 92k:34091 

Corless, Martin (with Ryan, E. P.) Robust feedback control of singularly perturbed 
uncertain dynamical systems. 92f:93057 

Diener, Francine see Candelpergher, Bernard; et al., 92k:58188 

Diener, Marc see Candelpergher, Bernard; et al., 92k:58188 

Du, Jing De Singularly perturbed boundary value problem for linear equations with turning 
points. 92d:34116 

Fattorini, H.O. see Ashyralyev, A., 92k:65143 

Fodchuk, V.1. (with Cherevko, I. M.) Integral manifolds of linear singularly perturbed 
functional-differential equations. (Russian) 92k:34091 

Fomenko, A. V. Synthesis of a singularly perturbed control system using fields of slow and 
fast extremals. (Russian) 

Fomin, V.I. see Krein, S. G., 92e:34076 

Fridman, E.M. Decomposition of linear optimal singularly perturbed systems with 
aftereffect. (Russian) 92b:93028 

Fridman, L. M. Singular redefinitions of discontinuous systems, and stability. (Russian) 
92b:34030 

(Garbey, Marc) see Asymptotic analysis and the numerical solution of partial differential 
equations, 92b:00035 

Gardner, Robert Alan Stability and Hopf bifurcation of steady state solutions of a singularly 
perturbed reaction-diffusion system. 92k:35143 

Gautheron, V. see Artigue, M.; et al., 92¢:58126 

Gonzalez Pinto, Severiano (with Casasis Latorre, Luis) A quadratic uniform-convergence 
scheme for the singularly perturbed Riccati equation. (Spanish. English summary) (see 
92b:00044) 

— (with Casasis Latorre, Luis; Gonzalez-Vera, Pablo) Two uniform schemes for the 


ORDINARY DIFFERENTIAL EQUATIONS 


singularly perturbed Riccati equation. 92k:65104 

Gonzalez-Vera, Pablo see Gonzalez Pinto, Severiano; et al., 92k:65104 

Hanke, Michael On the asymptotic representation of a regularization approach to nonlinear 
semiexplicit higher-index differential-algebraic equations. 92h:34007 

Happawana, G.S. (with Bajaj, A. K.; Nwokah, Osita D. I.) A singular perturbation 
perspective on mode localization. 92i:70037 

Heck, Bonnie S. Sliding-mode control for singularly perturbed systems. 92b:93029 

Herceg, Dragoslav see Vulanovic¢, Relja; et al., 92b:65056 

Ikegami, Giké Constrained stability for nonlinear electrical circuits. (see 92m:58003) 

I’yashenko, Yu. S. Rapidly-linear relaxation oscillations. (Russian) 92j:34074 

Isambert, E. see Artigue, M.; et al., 92e:58126 

Jiang, Fu Ru On the boundary value problems for ordinary differential equations with 
turning points. (Chinese. English summary) 92e:34023 

Kabanov, Yu. M. (with Pergamenshchikov, S.M.) Singularly perturbed stochastic equations 
and partial differential equations. (Russian) 92d:60063 

— (with Pergamenshchikov, S. M.) Singular perturbations of stochastic differential 
equations. (Russian) 924:60064 

Kachalov, V. I. Smoothness of solutions of differential equations that contain a parameter. 
(Russian) 92d:34122 

(Kaper, Hans G.) see Asymptotic analysis and the numerical solution of partial differential 
equations, 92b:00035 

Kasymov, K. A. (with Biadilov, N. B.) The third boundary value problem for a second-order 
quasilinear differential equation with an internal jump. (Kazakh) 

— Estimates for solutions of b y value probl for a singularly perturbed linear 
integro-differential equation. (Russian. English and Kazakh summaries) 92k:45019 

Khapaev, Mikhail Mikhailovich Conditions for the controllability of singularly perturbed 
systems that contain singular controls. (Russian) 

— see also Trushin, S. A.; et al., 92g:76084 

Kolesov, A. Yu. (with Kolesov, Yu. S.) Bifurcation of self-induced oscillations of a 
singularly perturbed wave equation. (Russian) 92¢:35031 

— (with Mishchenko, E. F.) On the mechanism of the destruction of an invariant torus of 
the van der Pol relaxation system with harmonic action on the slow variable. (Russian) 
92m:34102 

Kolesov, Yu. S. see Kolesov, A. Yu., 92e:35031 

Kostin, I. N. A regular approach to a problem on the attractors of singularly perturbed 
equations. (Russian. English summary) 92i:34083 

Krein, S.G. (with Fomin, V. 1.) Small perturbations of singular differential equations with 
unbounded operator coefficients. (Russian) 92¢:34076 

Lange, Charles G. (with Miura, Robert M.) Singular perturbation analysis of boundary 
value p for diffe ial-di equations. IV. A nonlinear example with layer 
behavior. 92¢:34073 

Lee, Y.S. Singular perturbation of a nonlinear time-dependent problem in Hilbert space. 
92a:34069 

Lin, Su Rong see Lin, Zong Chi; et al., 92e:34032 

Lin, Xiao-Biao Using Mel/nikov’s method to solve Silnikov’s problems. 92b:58195 

Lin, Zong Chi (with Lin, Su Rong) Singular perturbation of boundary value problem of 
systems for quasilinear ordinary differential equations. (Chinese. English summary) 
92¢e:34032 

Liseikin, V. D. see Petrenko, V. E., 92d:65143 and (92f:65010) 

Markechko, M. I. (with Rybashov, M. V.) Optimization of a quasistationary regime in 
nonlinear systems using singularly perturbed equations. (Russian) 92a:93049 

Miller, John J. H. (with Shishkin, G.I.) On the construction of uniformly convergent finite 
difference schemes for singularly perturbed problems for a quasilinear elliptic equation. 
92m:65128 

Mishchenko, E. F. see Kolesov, A. Yu., 92m:34102 

Miura, Robert M. see Lange, Charles G., 92¢:34073 

Muratori, Simona An application of the separation principle for detecting slow-fast limit 
cycles in a three-dimensional system. 92b:92052 

— see also Rinaldi, Sergio, 92i:92016 

Ni, Ming Kang A critical case of general nonlinear boundary value problems. (Chinese. 
English summary) 92k:34024 

Nipp, K. Numerical integration of stiff ODEs of singular perturbation type. (German 
summary) 92b:65062 

Noakes, J. Lyle see Chapman, P. B., 92m:70003 

Nosirov, F. U. Averaging in some special systems in the theory of gyroscopes. (Russian) 
92b:34053 

Nwokah, Osita D.I. see Happawana, G. S.; et al., 92i:70037 

Othmer, Hans G. see Watanabe, Masaji, 92j:34094 

Pantalos, N. see Barbot, J.-P., (92i:93004) 

Peng, Shi Ge A new type of singularly perturbed diffusion and its applications. 92k:60134 

Pergamenshchikov, S. M. see Kabanov, Yu. M., 92d:60063 and 924:60064 

Petrenko, V. E. (with Liseikin, V. D.) * Hexotoppie sompocbi Ka¥ecTBeHHOrO H YHCeHHOTO 
HCCl€OBaHHA CHHTYJIAPHO-BO3MYMIeCHHBIX 3afa4. (Russian) [Some problems in the 
qualitative and numerical investigation of singularly perturbed problems] 924:65143 

— (with Liseikin, V.D.) On majorizing functions and difference grids for the numerical 
solution of problems with boundary and internal layers. (Russian) (see 92f:65010) 

Petrovi¢é, N. see Vulanovi¢, Relja; et al., 92b:65056 

Petukhova, N. Yu. A numerical method for solving a singularly perturbed boundary value 
problem. (Russian. English summary) 92m:34039 

Pliss, V. A. The existence of a hyperbolic integral set of a special periodic system. (Russian) 
92f:58128 

Povzner, A. see Bogaevskii, V. N., 92j:34002 

Rinaldi, Sergio (with Muratori, Simona) Limit cycles in slow-fast forest-pest models. 
92i:92016 

Roos, Hans-Gérg A uniformly convergent discretization method for a singularly perturbed 
boundary value problem of the fourth order. (Serbo-Croatian summary) 92¢e:65108 

— An analytically oriented discretization technique for boundary value problems. 
92h:34058 

Rozhkov, V.I. Periodic solutions of linear singularly perturbed systems with certain 
singularities. (Russian) 92k:34050 














511 1992 


Ryan, E. P. see Corless, Martin, 92f:93057 

Rybashov, M. V. see Markechko, M. I., 92a:93049 

Segel, Lee A. (with Slemrod, Marshall) The quasi-steady-state assumption: a case study in 
perturbation. 92f:92003 

Shishkin, G.I. see Miller, John J. H., 92m:65128 

Sholin, G. V. see Trushin, S. A.; et al., 92g:76084 

Skripnik, V. P. A connection between an implicit function and solutions of a singularly 
perturbed equation. (Russian) 92g:26019 

Slemrod, Marshall see Segel, Lee A., 92f:92003 

Sobolev, V. A. Singular perturbations in a linear-quadratic problem of optimal control. 
(Russian) 924:49067 

Strehmel, Karl (with Weiner, Riidiger) Linearly-implicit Runge-Kutta methods for 
singularly perturbed problems and index-1-DAEs. (see 92e:65003) 

Szmolyan, P. T; Ih linic and homoclinic orbits in singular perturbation 
problems. 92¢e:58185 

— Analysis of a singularly perturbed traveling wave problem. 92m:82141 

Trushin, S. A. (with Khapaev, Mikhail Mikhailovich; Sholin, G. V.) Application of 
methods of the theory of singularly perturbed systems to the analysis of the condition for 
freezing of a magnetic field in an electronic fluid. (Russian) 92g:76084 

Voulov, H. D. (with Bainov, Drumi D.) Asymptotic stability of the solutions of a linear 
singularly perturbed system with unbounded delay. 92b:34094 

Vulanovi¢, Relja On numerical solution of a turning point problem. (Serbo-Croatian 
summary) 92b:65055 

— (with Herceg, Dragoslav; Petrovi¢é, N.) A numerical solution of the singular perturbation 
problem arising from a weakly coupled system. (Serbo-Croatian summary) 92b:65056 

— On numerical solution of quasilinear boundary value problems with two small parame- 
ters. 92j:65117 

— A second order numerical method for nonlinear singular perturbation problems without 
turning points. (Russian summary) 92¢:34017 

— Some switching schemes for quasilinear singular perturbation problems. 92k:65116 

Wang, Zhen Quan see Xu, Ke Kang; et al., 92d:93028 

Watanabe, Masaji (with Othmer, Hans G.) Persistence of invariant tori in systems of 
coupled oscillators. II. Degenerate problems. 92j:34094 

Weiner, Riidiger see Strehmel, Karl, (92¢:65003) 

Xu, Ke Kang (with Wang, Zhen Quan) D-controllability and control of multiparameter and 
multiple time-scale singularly perturbed systems. 92d:93028 

Yunusov, M. Yu. A two-sided power boundary layer in nonlocal problems. (Russian) 
92e:34077 

Zhang, Xiang Singular perturbations of nonlinear vector problems with turning points. 
(Chinese. English summary) 92k:34072 





Items listed otherwise than by author 
Argonne, IL * Asymptotic analysis and the numerical solution of partial differential 
equations. 92b:00035 
Asymptotic analysis and the numerical solution of partial differential equations * Asymptotic 
analysis and the numerical solution of partial differential equations. 92b:00035 
Workshop: 
Asymptotic Analysis and the Numerical Solution of Partial Differential Equations 
* Asymptotic analysis and the numerical solution of partial differential equations. 
92b:00035 


34E20 Singular perturbations, turning point theory, WKB 
methods 


Chen, Xiu Singular perturbations of boundary value problems for nonlinear systems with 
turning points. (Chinese. English summary) 92h:34106 

Chernyavskaya, N. A. (with Shuster, L. A.) WKB-approximations from the perturbation 
theory viewpoint. (see 92c:00015) 

Du, Jing De Singularly perturbed boundary value problem for linear equations with turning 
points. 92d:34116 

Harris, W. A., Jr. (with Shao, Sai Lai) Refined approximations of the solutions of a coupled 
system with turning points. 92i:34074 

Liu, Jinsong (with Wood, Alastair D.) Matched asymptotics for a generalisation of a model 
equation for optical tunnelling. 92h:34107 

Motylev, L. Yu. Asymptotics near a turning point for a second-order nonlinear equation. 
(Russian) 92h:34108 

Nakano, Minoru (with Namiki, Masatoshi; Nishimoto, Toshihiko) On the WKB method 
for certain third order ordinary differential equations. 92k:34071 

Namiki, Masatoshi see Nakano, Minoru; et al., 92k:34071 

Nishimoto, Toshihiko Confluent W-K-B approximation. (see 92m:00038) 

— see also Nakano, Minoru; et al., 92k:34071 

Ohkohchi, Shigemi Uniform simplification at a transition point and the problem of 
resonance. 92¢:34064 

Shao, Sai Lai see Harris, W. A., Jr., 92i:34074 

Shuster, L. A. see Chernyavskaya, N. A., (92c:00015) 

Wood, Alastair D. see Liu, Jinsong, 92h:34107 

Yakushina, I. N. The asymptotics of solutions of nth-order linear differential equations with 
two turning points. (Russian. English summary) 924:34117 

Zhang, Ju Ling Extended Airy function and differential equations with n-turning points. 
(Chinese. English summary) 92i:34075 

Zhang, Xiang Singular perturbations of nonlinear vector problems with turning points. 
(Chinese. English summary) 92k:34072 


Items with secondary classifications in 34E20 

Bai, Qing Yuan see Lin, Peng Cheng; et al., 92b:65053 

Bersani, Alberto (with Sciarretta, Cecilia) Asymptotic analysis for a closed processor- 
sharing system with switching times: normal usage. 92f:60153 

Brazel, Neal (with Lawless, Fiona; Wood, Alastair D.) Exponential asymptotics for an 
eigenvalue of a problem involving parabolic cylinder functions. 92g:34027 


34F Equations and systems with randomness 


34F05 


Brewster, M. E. Thin plates and compressive membrane solutions. I. Global breakdown. 
92i:73059 

Chen, Ming Lan (with Wang, Guo Ying) Completely exponentially finite difference 
methods for problems of turning point. (Chinese. English summary) 92¢:65105 

Chernyshov, K. I. On the asymptotics of the solution of a linear reduced equation. (Russian) 
92m:34124 

Cohen, J. (with Slavyanov, S. Yu.) Quasiclassical asymptotics of the spectrum for lower 
states of an anharmonic oscillator. (Russian) 92k:81035 

Dammert, Orjan Energy eigenvalues for an arbitrary potential well with N minima. 
92h:81030 

Hanson, F. B. see Wazwaz, Abdul-Majid, 92j:34109 

Jiang, Fu Ru On the boundary value problems for ordinary differential equations with 
turning points. (Chinese. English summary) 92¢e:34023 

Kapaev, A. A. (with Kitaev, A. V.) The limit transition P, — P,. (Russian. English 
summary) 92m:34009 

— Weakly nonlinear solutions of the equation P?. (Russian. English summary) 92m:34010 

— Essential singularity of the Painlevé function of the second kind and the nonlinear Stokes 
phenomenon. (Russian. English summary) 92m:34012 

Karpenko, Yu. I. see Shkil’, N. 1., 92g:34074 

Kitaev, A. V. Turning points of linear systems, and double asymptotics of Painlevé 
transcendents. (Russian. English summary) 92m:34008 

— see also Kapaev, A. A., 92m:34009 

Lawless, Fiona see Brazel, Neal; et al., 92g:34027 

Lin, P. A numerical method for quasilinear singular perturbation problems with turning 
points. (German summary) 92h:65120 

Lin, Peng Cheng (with Bai, Qing Yuan) Numerical solution of nonlinear ordinary 
differential equation for a turning point problem. (Chinese. English summary) 92b:65053 

Loh, K. K. (with Low, K. S.) On the equivalence of the classical-limit scattering matrix to 
the Wentzel-Kramers-Brillouin formalism. 92g:81043 

Low, K.S. see Loh, K. K., 92g:81043 

Marz, Christoph Spectral asymptotics for Hill’s equation near the potential maximum. 
92e:34122 

O’Malley, Robert E., Jr. * Singular perturbation methods for ordinary differential 
equations. 92i:34071 

Parisse, Bernard Résonances pour l’opérateur de Dirac. (English summary) [Resonances for 
the Dirac operator] 92i:81060 

Cecilia see Bersani, Alberto, 92f:60153 

Shkil’, N. I. (with Karpenko, Yu. I.) Asymptotic solution of a singularly perturbed second- 
order system with point resonance. (Russian. English summary) 92g:34074 

Slavyanov, S. Yu. * AcuMnToTHKa pemieHuft ofHOMepHoro ypaBHeHua [I pequurepa. 
(Russian) [Asymptotic behavior of solutions of a one-dimensional Schrédinger equation] 
92h:34002 

— see also Cohen, J., 92k:81035 

Sun, Xiao Di The Abrahamsson scheme for a singularly perturbed turning point problem. 
(Chinese. English summary) 92m:65100 

Wang, Guo Ying see Chen, Ming Lun; et al., 92e:65105 

Wazwaz, Abdul-Majid On the asymptotic solutions of a differential equation with multiple 
singular points. 92d:34115 

— (with Hanson, F. B.) Moments of extinction for a singular perturbation problem in the 
diffusion process. 92j:34109 

Wood, Alastair D. see Brazel, Neal; et al., 92g:34027 


34E99 None of the above, but in this section 


Arkhipov, V. P. Asymptotic representations of solutions of second-order degenerate 
differential equations. (Russian) 92e:34071 

Marié¢, Vojislav (with Tomié, Miodrag) A classification of solutions of second order linear 
differential equations by means of regularly varying functions. 92m:34129 

Tomié, Miodrag see Marié¢, Vojislav, 92m:34129 


Items with secondary classifications in 34E99 

Blais, Francois Théoréme d’existence de fleuves. (English summary) [Existence theorem for 
rivers] 92h:58162 

Brands, J. J.A.M. Tubes. (see 92i:93006) 

HaStak, Alexander Asymptotic and integral equivalence of multivalued differential systems. 
92¢:34017 

Kassoy, David R. see Kirkképrii, Kadir, 92c:80028 

Kirkképri, Kadir (with Kassoy, David R.) High-speed reaction zone structure for variable 
mole chemistry. 92¢:80028 

Maslov, V. P. * AcumnToTH4ecKHe MeTO/BI H Teopua BOsMylmeHHA. (Russian) [Asymptotic 
methods and perturbation theory] 92i:35013 

Mortola, Stefano (with Peirone, Roberto) The homogenization of an ordinary differential 
equation with a chessboard structure. (Italian. English summary) 924:34034 

Peirone, Roberto see Mortola, Stefano, 924:34034 

Zernov, A. E. Solution of a singular Cauchy problem of implicit form. (Russian. Ukrainian 
summary) 92g:34001 


34F05 Equations and systems with randomness 
[see also 34K50, 60H10, 93E03] 


Ahmed, N. U. Stability of limit measures induced by stochastic differential equations on 
Hilbert space. 92h:34109 

Ariaratnam, S.T. (with Xie, Wei Chau) Stochastic bifurcations in engineering mechanics. 
(French summary) 92a:34062 

Berlyand, L. V. (with Molchanov, S. A.) A localization problem for a random one- 
dimensional elastic continuum with dispersion. (Russian) 92i:34076 

Borisenko, O. V. Nonlinear oscillations with small random perturbations. (Russian) 
92b:34064 





34F05 


— Random oscillations of a second-order nonautonomous system in the nonresonance case. 
(Russian) 92g:34076 

Cao, Li! see Wang, Hui Xian; et al., 92d:34120 

Dovgai, V. ¥. see Dzyra, B. I., 92g:34077 

Dzyra, B. I. (with Dovgai, V. V.) Stability of a second-order system under constantly acting 
random perturbations of white noise type. (Russian) 92g:34077 

Gerencsér, Laszl6 Almost sure exponential stability of random linear differential equations. 
92i:34077 

Il'chenko, A. V. Investigation of the stability of a class of systems of stochastic differential 
equations with nonregular dependence on a small parameter. (Russian) 92j:34112 

Ivashkevich, L. V. The behavior of phase trajectories of a linear oscillator under random 
parametric excitation. (Russian) 92e:34072 : 

Kovaleva, A. S. Construction of successive approximations in the perturbation method for 
systems with random coefficients. (Russian) 92k:34073 

Kozin, Frank (with Zhang, Z. Y.) The exact almost sure stability for a specific class of 
nonlinear Ito differential equations. 92a:34063 

Lasota, Andrzej see Mackey, Michael C.; et al., 92d:34118 

Lépingle, Dominique (with Ribémont, Bernard) Un schéma multipas d’approximation de 
l’équation de Langevin. (English summary) [A multistep approximation scheme for the 
Langevin equation] 92i:34078 

Longtin, André see Mackey, Michael C.; et al., 92d:34118 

Mackey, Michael C. (with Longtin, André; Lasota, Andrzej) Noise-induced global 
asymptotic stability. 924:34118 

Meredov, A. M. Extremal perturbation sets for stochastic differential equations. (Russian. 
English summary) 924:34119 

Mitropol’skii, Yu. A. (with Nguyen Tien Khiem) A class of nonlinear oscillatory systems 
for which the Fokker-Planck-Kolmogorov equation admits an exact solution. (Russian. 
Ukrainian summary) 92j:34113 

Molchanov, S. A. see Berlyand, L. V., 92i:34076 

Nguyén Dinh Céng Auxiliary and central exponents of linear systems with coefficients that 
are perturbed by white noise. (Russian) 92b:34065 

Nguyen Tien Khiem see Mitropol’skii, Yu. A., 92j:34113 

Nowak, Andrzej S. Nonanticipative solutions of random functional-differential equations. 
92a:34064 

Ribémont, Bernard see Lépingle, Dominique, 92i:34078 

Skorokhod, I. V. On the limit behavior of an oscillatory system in the presence of random 
perturbations of parameters of this system. II. (Russian. Ukrainian summary) 92b:34066 

Stanzhitskii, A. N. Invariant tori of systems with random perturbation. (Russian) 
92:34053 

Teichert, Heidrun The structure of the spectrum of fourth-order differential operators with 
random coefficients. 92j:34114 

— Asymptotic analysis of the Lyapunov exponents of a fourth-order differential operator 
with random coefficients. 92k:34074 

Tsar’kov, E. F. About parametric stochastic resonance. (Serbo-Croatian summary) 
92m:34130 

Wang, Hui Xian (with Cao, Li'; Wu, Da Jin) The theory of quadratic noise in multivariable 
systems. (Chinese. English summary) 924:34120 

Wa, Da Jin see Wang, Hui Xian; et al., 924:34120 

Xie, Wei Chau see Ariaratnam, S. T., 92a:34062 

Zhang, Z. Y. see Kozin, Frank, 92a:34063 


Items with secondary classifications in 34F05 

Ahmed, N. U. see Li, Peng, 92j:93132 

Albeverio, Sergio (with Réckner, Michael) Stochastic differential equations in infinite 
dimensions: solutions via Dirichlet forms. 92k:60123 

Alchekov, A. K. Stability in the mean of a linear system with impulse action at the epochs of 
a renewal process. (Russian) 92i:60110 

— Stability of a linear system with Poisson impulse action. (Russian) 92b:34059 

— see also Korolyuk, V. S., 92i:60113 

Artem’ev, S.S. (with Shkurko, I. O.) Numerical analysis of dynamics of oscillatory 
stochastic systems. 92h:65205 

— see also Averina, T. A., 92k:65102 

Averina, T. A. (with Artem’ev, S. S.) * UncnenHoe MofenuposBaHne B 3aa4ax ahasi3a H 
CMHT€3a CTOXACTHYCCKHX CHCTeM ynipaBsieHua. (Russian) [Numerical modeling in problems 
of analysis and synthesis of stochastic control systems] 92k:65102 

Azimov, R. K. (with Martynyuk, A. A.) Analysis of the stability of a stochastic system by the 
Lyapunov matrix function method. (Russian) 92¢:34055 

Balabushkin, A. N. Prediction of the state of a dynamical object at the time of reaching a 
boundary under small disturbances. (Russian) 92m:93046 

Bonanno, Gabriele (with Marano, Salvatore A.) Random differential inclusions depending 
on a parameter. 92h:34035 

Bunimovich, L. A. (with Jauslin, H. R.; Lebowitz, Joel L.; Pellegrinotti, A.; Nielaba, P.) 
Diffusive energy growth in classical and quantum driven oscillators. 92h:82075 

Carmona, René (with Lacroix, Jean) * Spectral theory of random Schrodinger operators. 
92k:47143 

Chen, Xiong Comparison theorem for strong solution of two-parameter Poisson type 
stochastic differential equation. 

Delph, T. J. see Harlow, D. G., 92j:65100 

Demenin, A. N. Stochastic evolution systems with random perturbations of low intensity. 
(Russian) 92i:60112 

— (with Diesperova, M. M.) Stability of linear dynamical systems with parameters that 
change randomly in time. (Russian. English summary) 92d:93117 

Diesperova, M. M. see Demenin, A. N., 92d:93117 

Dorogovtsev, A. Ya. Stochastically periodic solutions of differential equations with operator 
coefficients. (Russian. Ukrainian summary) 92i:60123 

Drummond, P. D. (with Mortimer, I. K.) Computer simulations of multiplicative stochastic 
differential equations. 92a:65036 

Engel’son, L. E. Stability in the mean of a linear functional-differential equation with a 
random operator. (Russian. English and Latvian summaries) 92j:34135 

Feng, Zhao Shu see Hu, Xuan Da; et al., 92i:34064 


ORDINARY DIFFERENTIAL EQUATIONS 


Frezza, Ruggero see Krener, Arthur J.; et al., 92c:60084 

Fujiwara, Tsukasa On the jump-diffusion approximation of stochastic difference equations 
driven by a mixing sequence. 92¢:60128 

Grigoriu, Mircea A consistent closure method for nonlinear random vibration. 92i:70044 

Hala, Martin Asymptotic normality of eigenvalues of random ordinary differential 
operators. (Czech summary) 92g:60088 

Hanggi, Peter see Jung, Peter, 92a:70021 

Harlow, D. G. (with Delph, T. J.) The numerical solution of random initial value problems. 
92j:65100 

Hu, Gang (with Zhu, Shun Quan) Probability hole at a deterministic saddle in a colored 
noise system. (Chinese summary) 92c:82079 

Hu, Xuan Da (with Feng, Zhao Shu) The Mo-stability of random differential systems. 
(Chinese. English summary) 92i:34064 

— An existence and uniqueness theorem for a class of semilinear stochastic evolution 
equations in the dual of a nuclear space. (Chinese. English summary) 

(Jaumotte, André L.) see Preumont, André, 92i:70047 

Jauslin, H.R. see Bunimovich, L. A.; et al., 92h:82075 

Jumarie, Guy Towards an approach to stochastic adaptive control using the maximum 
entropy principle. 92b:93076 

Jung, Peter (with Hanggi, Peter) Invariant measure of a driven nonlinear oscillator with 
external noise. 92a:70021 

Just, Wolfram Dynamics of the stochastic Duffing oscillator in Gaussian approximation. 
92£:58120 

Kabanov, Yu. M. (with Pergamenshchikov, S. M.) Singularly perturbed stochastic equations 
and partial differential equations. (Russian) 92d:60063 

— (with Pergamenshchikov, S. M.) Singular perturbations of stochastic differential 
equations. (Russian) 92d:60064 

Kloeden, Peter (with Platen, Eckhard; Schurz, H.) The numerical solution of nonlinear 
stochastic dynamical systems: a brief introduction. 92k:60129 

Knobloch, Edgar see Weiss, Jeffrey B., 92a:60141 

Kolomiets, V. G. (with Mel‘nikov, A. I.) On the existence and properties of solutions, 
bounded in the mean square, of a class of quasilinear stochastic evolution equations. 
(Russian) 92g:60080 

Korenevskii, D. G. * Ycrotuupoctb MHaMH4eCKHX CHCTeM MIpH Culy4aHHbIX BOSMYIICHHAX 
napametpos. (Russian) [Stability of dynamical systems under random perturbations of 
parameters] 92f:34042 

Korolyuk, V.S. (with Alchekov, A. K.) Stability of an impulse ergodic Markov action. 
(Russian. Ukrainian summary) 92i:60113 

Krasovskii, A. A. A stochastic qualitative theory of the search for an extremum. (Russian) 

Krener, Arthur J. (with Frezza, Ruggero; Levy, Bernard C.) Gaussian reciprocal processes 
and selfadjoint stochastic differential equations of second order. 92c:60084 

Kushner, Harold J. Functional occupation measures and ergodic cost problems for 
singularly perturbed stochastic systems. 92g:93104 

Lacroix, Jean see Carmona, René, 92k:47143 

Lasota, Andrzej (with Tyrcha, Joanna) On the strong convergence to equilibrium for 
randomly perturbed dynamical systems. 92i:58159 

Lebowitz, Joel L. see Bunimovich, L. A.; et al., 92h:82075 

Levy, Bernard C. see Krener, Arthur J.; et al., 92c:60084 

Li, Peng (with Ahmed, N. U.) Feedback stabilization of some nonlinear stochastic systems 
on Hilbert space. 92j:93132 

Lindenberg, Katja see Porra, Josep M.; et al., 92h:58111 

Liptser, R. Sh. (with Stoyanov, Jordan) Stochastic version of the averaging principle for 
diffusion type processes. 92a:60138 

Lunin, A. A. Stability of a system of linear differential equations with random coefficients. 
(Russian) 92i:34061 

Ma, Song She (with Wu, Zhong Guang”) A new application of the method of adiabatic 
elimination by eigenfunction expansion. (Chinese. English summary) 92a:82094 

Marano, Salvatore A. see Bonanno, Gabriele, 92h:34035 

Martynyuk, A. A. see Azimov, R. K., 92¢:34055 

Maslowski, Bohdan (with Seidler, Jan; Vrkoé, Ivo) An averaging principle for stochastic 
evolution equations. II. (Czech summary) 92j:60076 

Masoliver, Jaume see Porra, Josep M.; et al., 92h:58111 

Melnikov, A. I. see Kolomiets, V. G., 92g:60080 

Mirollo, Renato E. see Strogatz, Steven H., 92h:34077 

Mortimer, I. K. see Drummond, P. D., 92a:65036 

Narita, Kiyomasa Averaging and weak convergence methods for stochastic differential 
equations of the McKean type. 92¢:60126 

— The Smoluchowski-Kramers approximation for stochastic Liénard equation with mean- 
field. 92f:60107a 

— Asymptotic behavior of velocity process in Smoluchowski-Kramers approximation for 
stochastic differential equations. 92f:60107b 

Nguyén-‘Dinh Cong On Lyapunov exponents and central exponents of linear systems of 
differential equations with almost periodic coefficients under random perturbations. 
92b:34055 

Nielaba, P. see Bunimovich, L. A.; et al., 92h:82075 

Nualart, David (with Pardoux, Etienne) Boundary value problems for stochastic differential 
equations. 92j:60072 

Pakshin, P. V. Stability of random-parameter and random-structure linear systems. 
(Russian) 92k:34067 

Pardoux, Etienne see Nualart, David, 92j:60072 

Pellegrinotti, A. see Bunimovich, L. A.; et al., 92h:82075 

Peng, Shi Ge A new type of singularly perturbed diffusion and its applications. 92k:60134 

Pergamenshchikov, S. M. see Kabanov, Yu. M., 92d:60063 and 92d:60064 

Pinsky, Mark (with Wihstutz, Volker) Lyapunov exponents for white and real noise driven 
two-dimensional systems. 92i:60116 

Platen, Eckhard see Kloeden, Peter; et al., 92k:60129 

Porra, Josep M. (with Masoliver, Jaume; Lindenberg, Katja) Bistability driven by 
dichotomous noise. 92h:58111 

Preumont, André * Vibrations aléatoires et analyse spectrale. (French) [Random vibrations 
and spectral analysis] 92i:70047 





513 1992 


Pugachev, V.S. (with Sinitsyn, I. N.) *& Croxacruueckue qudepenuManbubie CHCTeMBI. 
(Russian) [Stochastic differential systems] 92f:93003 

Red-Horse, J. R. (with Spanos, Pol-T. D.) A generalization to stochastic averaging in 
random vibration. 92j:70029 

Réckner, Michael see Albeverio, Sergio, 92k:60123 

Rozovskii, B. L. * Stochastic evolution systems. 92k:60136 

Schurz, H. see Kloeden, Peter; et al., 92k:60129 

Seidler, Jan see Maslowski, Bohdan; et al., 92j:60076 

Shen, Yu Yi (with Zhang, Bing Gen) On the periodic solution process to the stochastic 
model of single species. 92k:92020 

Shkurko, I. O. see Artem’ev, S. S., 92h:65205 

Sinitsyn, I. N. see Pugachev, V. S., 92:93003 

Sitnitskii, A. E. Colored noise in a stochastic differential equation. 92m:82103 

Situ, Rong Theory and application of stochastic differential equations in China. 92k:60137 

Skorokhod, A. V. Dynamical systems under the influence of fast random perturbations. 
(Russian. Ukrainian summary) 92¢:60127 

Socha, Leslaw (with Soong, T. T.) Linearization in analysis of nonlinear stochastic systems. 
92h:70022 

Soize, C. Exact stationary response of multi-dimensional nonlinear Hamiltonian dynamical 
systems under parametric and external stochastic excitations. 92i:70048 

Soong, T. T. see Socha, Lestaw, 92h:70022 

Spanos, Pol-T. D. see Red-Horse, J. R., 92j:70029 

Sri Namachchivaya, N. Instability theorem based on the nature of the boundary behaviour 
for one-dimensional diffusion. 92g:60085 

Stoyanov, Jordan see Liptser, R. Sh., 92a:60138 

Strogatz, Steven H. (with Mirollo, Renato E.) Stability of incoherence in a population of 
coupled oscillators. 92h:34077 

Tyrcha, Joanna see Lasota, Andrzej, 92i:58159 

Varsan, C. Stochastic differential equations and asymptotic almost periodic solutions. 
92a:60140 

Vrkot, Ivo see Maslowski, Bohdan; et al., 92j:60076 

Weiss, Jeffrey B. (with Knobloch, Edgar) A stochastic return map for stochastic differential 
equations. 92a:60141 

Wihstutz, Volker see Pinsky, Mark, 92i:60116 

Wu, Zhong Guang” see Ma, Song She; et al., 92a:82094 

Xia, Ning Mao The eigenfunction expansion of the solution for the nonhomogeneous 
Sturm-Liouville problem containing white noise. 92f:34079 

(Yarkho, A.) see Rozovskii, B. L., 92k:60136 

Yasinskaya, L. I. (with Yasinskii, V. K.) Stability of stochastic differential equations with 
variable delay in the presence of Poisson perturbations. (Russian) 92a:60142 

Yasinskii, V.K. see Yasinskaya, L. I., 92a:60142 

Yavin, Yaakov A search for a randomly moving object: a numerical study. 92m:65179 

Zhang, Bing Gen see Shen, Yu Yi, 92k:92020 

Zhogal’, S. P. Stability of solutions of some stochastic complex systems with delay. 
(Russian) (see 92d:00008) 

Zhu, Shun Quan see Hu, Gang; et al., 92c:82079 


34Gxx Differential equations in abstract spaces 
[see also 58D25] 


Nazarov, V.I. Solvability of the Cauchy problem for differential equations in locally convex 
spaces. (Russian) 92h:34110 

Poreda, Tadeusz On generalized differential equations in Banach spaces. 92i:34079 

Song, Zai Feng Remarks on ordinary differential equations in Banach spaces. (Chinese 
summary) 92m:34131 

Zheng, Quan? Global solutions to abstract differential equations and their applications. 
(Chinese) 92h:34111 


Items with secondary classifications in 34Gxx 


(Clément, Philippe P.) see Semigroup theory and evolution equations, 92m:47001 

Gil’, M. I. * Mertog onepaTopxsix yHKUMH B TeopuH DudhepenuMaTbHbIX ypaBHeHHh (c 
IpHJIO*KeCHHAMH K 3afa4aM 9KONOrHH). (Russian) [The method of operator functions in the 
theory of differential equations (with applications to problems of ecology)] 92b:34002 

(Mitidieri, Enzo) see Semigroup theory and evolution equations, 92m:47001 

Oppenheimer, Seth F. An abstract spectral approximation theorem from the theory of 
semigroups. 92m:47140 

(de Pagter, Ben) see Semigroup theory and evolution equations, 92m:47001 


Items listed otherwise than by author 
Conference: 
Semigroup Theory and Evolution Equations * Semigroup theory and evolution equations. 
92m:47001 
Delft * Semigroup theory and evolution equations. 92m:47001 
Semigroup theory and evolution equations * Semigroup theory and evolution equations. 
92m:47001 


34G10 Linear equations [see also 47Axx, 47Bxx, 47D06, 47D09] 


Aliev, I. V. see Maksudov, F. G., 92m:34135 

Bainov, Drumi D. (with Kostadinov, St. I.; Myshkis, A.D.) Properties of the Ly-solutions 
of linear impulsive equations in a Banach space. 92b:34067 

— (with Kostadinov, St. I.; Myshkis, A. D.) Properties of the L,-solutions of linear 
impulsive equations in a Banach space. 92g:34078 

Datko, R. (with You, Yun Cheng) Some second-order vibrating systems cannot tolerate 
small time delays in their damping. 92m:34132 

Dedushev, A. V. A method for solving differential equations with operator coefficients. 
(Russian) 924:34121 

Favini, Angelo Parabolicity of second order differential equations in Hilbert space. 
92b:34068 


34G Differential equations in abstract spaces 


34G10 


Fomin, V.I. see Krein, S. G., 92e:34076 

Fuhrman, M. Bounded solutions for abstract time-periodic parabolic equations with 
nonconstant domains. 92f:34054 

Futék, Jan On the asymptotic behaviour of the solutions of operator-differential equations. 
92g:34079 

Gershtein, L.M. A coupled system of abstract differential equations of thermoelasticity 
type. (Russian. English and Azerbaijani summaries) 92h:34112 

Geymonat, Giuseppe (with Grisvard, Pierre) Expansions on generalized eigenvectors of 
operators arising in the theory of elasticity. 92j:34115 

Gorbachuk, M. L. see Gorbachuk, V. I., 92m:34133 

Gorbachuk, V. I. (with Gorbachuk, M. L.) * Boundary value probl 
differential equations. 92m:34133 

Gorodetskii, V. V. Polynomial approximation of solutions of evolution equations of 
parabolic type in a Hilbert space. (Russian) 92e:34073 

Grisvard, Pierre see Geymonat, Giuseppe, 92j:34115 

Henriquez, Hernan R. Asymptotically almost-periodic solutions of abstract differential 
equations. 92h:34113 

Huang, Fa Lun Some problems for linear elastic systems with damping. 92h:34114 

llolov, M. see Samoilenko, A. M., 92b:34071 

Ismailov, Z. I. A polynomial approximation of the solution of the Cauchy problem. 
(Russian. Ukrainian summary) 92¢:34074 

Izé, A. F. Lyapunov numbers for a countable system of ordinary differential equations. 
92m:34134 

Jédar, Lucas Stu-m-Liouville problems for the second order Euler operator differential 
equation. 92¢:34066 

— Boundary value problems and Green’s operator functions. (Serbo-Croatian summary) 
92¢:34065 

Kachalov, V. I. Smoothness of solutions of differential equations that contain a parameter. 
(Russian) 924:34122 

Kandelaki, N. P. (with Lomtatidze, A.G.) Approximate solution of an evolution equation. 
(Russian) 92j:34116 

Kirichuk, P. A. A probabilistic formula for solving an abstract Cauchy problem for a third- 
order equation. (Russian) 92g:34080 

Kopaneva, V.I. An overdetermined problem for a differential equation in a Hilbert space. 
(Russian) 92e:34075 

Kostadinov, St. 1. see Bainov, Drumi D.; et al., 92b:34067 and 92g:34078 

Krein, S. G. (with Fomin, V.1.) Small perturbations of singular differential equations with 
unbounded operator coefficients. (Russian) 92¢:34076 

Kuzhel’,S. A. A condition for the uniform well-posedness of the Cauchy problem in the case 
of spaces with an indefinite metric. (Russian. Ukrainian summary) 92b:34069 

deLaubenfels, Ralph J. Existence and uniqueness families for the abstract Cauchy problem. 
92k:34075 

Lomovtsev, F. E. The Cauchy problem for second-order hyperbolic differential equations 
with a variable domain of the operator coefficients. (Russian. English summary) 
92g:34081 

Lomtatidze, A. G. see Kandelaki, N. P., 92j:34116 

Luchik, V. E. see Teplinskii, Yu. V., 92d:34123 

Lumer, Gunter Problémes dissipatifs et “analytiques” mal posés: solutions et théorie 
asymptotique. (English summary) [Dissipative and “analytic” ill-posed problems: 
solutions and asymptotic theory] 92c:34067 

Luterotti, Fabio On a class of abstract differential equations of Fuchs’ type. (Italian 
summary) 92b:34070 

Maksimovich, S. 1. (with Yurchuk, N. I.) The Cauchy problem for operator-differential 
equations of Fuchsian type. (Russian) 92h:34115 

Maksudov, F.G. (with Aliev, I. V.) Second-order operator-differential equations with 
nonregular boundary conditions. (Russian) 92m:34135 

Matos, Marivaldo Pereira (with Pereira, Ducival C.) On a hyperbolic equation with strong 
damping. 92j:34117 

Melnikova, I. V. Conditions for the solvability of abstract boundary value problems. 
(Russian) 92h:34116 

Myshkis, A. D. see Bainov, Drumi D.; et al., 92b:34067 and 92g:34078 

Nazarov, V.I. see Zabreiko, P. P., 92h:34119 

Orlovskii, D.G. Weak and strong solutions of inverse problems for differential equations in 
a Banach space. (Russian) 92g:34082 

Pereira, Ducival C. see Matos, Marivaldo Pereira, 92j:34117 

Ragimov, M. B. Operator pencils and almost periodicity of bounded solutions of second- 
order differential equations. (Russian) 92h:34117 

Reissig, Michael An abstract Cauchy-Kovalevsky problem of higher order. 92h:34118 

Samoilenko, A. M. (with Ilolov, M.) On the theory of evolution equations with impulse 
action. (Russian) 92b:34071 

Satyanarayan Rao, Aribindi On the Stepanov almost periodic solution of a second-order 
infinitesimal generator differential equation. 92k:34076 

Shelukhin, V. V. On the solution of linear evolution equations by the variational method. 
(Russian) 92i:34080 

Shkarin, S. A. Some results on the solvability of ordinary linear differential equations in 
locally convex spaces. (Russian) 92c:34068 

Sobolevskii, E. P. (with Sobolevskii, P. E.) The commutant method and the coercivity of 
the Cauchy problem. (Russian) 92f:34055 

Sobolevskii, P. E. see Sobolevskii, E. P., 92:34055 

Tanaka, Naoki Linear evolution equations in Banach spaces. 92m:34136 

Teplinskii, Yu. V. (with Luchik, V. E.) Reducibility of differential equations with impulses 
in the space of bounded numerical sequences. (Russian. Ukrainian summary) 924:34123 

Urmambetov, B. M. Coercive problems for differential equations. (Kazakh. English and 
Russian summaries) 92k:34077 

Varlamov, V. V. On a hyperbolic equation of high order in a Banach space. 92j:34118 

Winiarska, Teresa Parabolic equations with coefficients depending on ¢ and parameters. 
92a:34065 

You, Yun Cheng see Datko, R., 92m:34132 

Yunusov, M. Yu. A two-sided power boundary layer in nonlocal problems. (Russian) 
92e:34077 





for operator 





34G10 


Yurchuk, N. I. see Maksimovich, S. I., 92h:34115 

Zabreiko, P. P. (with Nazarov, V. 1.) Smoothness of solutions of linear differential 
equations in Banach spaces. (Russian) 92h:34119 

Zaidman, Samuel Uniqueness of bounded solutions for some abstract differential equations. 
924:34124 

— A local existence result for the equation (d/dt)Bu(t) = Au(t) + f(t) in Hilbert spaces. 
(French summary) 92¢:34078 

Zheng, Quan? Uniqueness, existence and wellposedness of solutions of first order abstract 
Cauchy problem. 92h:34120 


Items with secondary classifications in 34G10 


Ahmed, N. U. * Semigroup theory with applications to systems and control. 92¢:47069 

— Stability of limit measures induced by stochastic differential equations on Hilbert space. 
92h:34109 

Ali Mehmeti, Felix (with Nicaise, Serge) Some realizations of interaction problems. (see 
92m:47001) 

— Existence and regularity of solutions of Cauchy problems for inhomogeneous wave 
equations with interaction. 92m:35176 

Almamedov, M.S. (with Bairamogly, M.; Katanova, V.1I.) Trace formulas for an even-order 
differential equation with an unbounded operator coefficient. (Russian) 92i:47052 

— (with Katanova, V.I.) Regularization of the trace of a higher-order differential operator 
with a bounded operator coefficient. (Russian) 92i:47053 

Ashyralyev, A. Coercive stability of a difference scheme of the second order of approxima- 
tion for differential equations in a Banach space with a time-dependent operator. (Rus- 
sian) (see 92d:28002) 

— (with Fattorini, H.O.) On uniform difference schemes for second-order singular 
perturbation problems in Banach spaces. 92k:65143 

Atakhodzhaev, M. A. (with Egamberdiev, O.M.) The Cauchy problem for an abstract 
bicaloric equation. (Russian) 92¢:35055 

Bainov, Drumi D. (with Kostadinov, St. I.; Zabreiko, P. P.) L,-equivalence of a linear and a 
nonlinear impulsive differential equation in a Banach space. 92h:34029 

Bairamogly, M. see Almamedov, M. S.; et al., 92i:47052 

Bakaev, N. Yu. (with Bakushinskii, A. B.) On the theory of approximate methods for 
solving an ill-posed abstract Cauchy problem. (Russian) 92a:65181 

— Estimates for the stability of the Runge-Kutta method for differential equations with a 
variable operator. (Russian. Ukrainian summary) 924:65141 

— Stability of some difference schemes with smoothing operators. (Russian) 92¢:65074 

Bakushinskii, A. B. see Bakaev, N. Yu., 92a:65181 

Baranetskii, Ya. E. A boundary value problem for operator-differential equations of even 
order. (Russian) 924:34152 

— (with Kalenyuk, P. I.) Multiparametric nonlocal spectral problems for operator- 
differential equations. (Russian) 92b:47026 

Bragg, L.R. The iterated abstract Euler-Poisson-Darboux problem for negative values of the 
parameter. 92m:35198 

— Transmutations and ascent. 92m:35010 

Chernyshov, K. I. Asymptotic expansions of solutions of an equation with a Fredholm 
operator in front of the derivative in the critical case. 92a:34055 

Choulli, M. Abstract inverse problem and application. 92k:34015 

Chu, Yi Linear transport equation with indefinite collision operator. 92m:82126 

Clément, Philippe P. (with Da Prato, Giuseppe) Some results on nonlinear heat equations 
for materials of fading memory type. 92a:45031 

Cooke, Charlie H. (with McMorran, Andrew G.) Asymptotic factorization of evolution 
equations which involve linear operators. 92b:65077 

Da Prato, Giuseppe see Clément, Philippe P., 92a:45031 

Delladio, Silvano Some remarks on time-dependent evolution systems in the hyperbolic 
case. 92f:35076 

Demenin, A. N. Stochastic evolution systems with random perturbations of low intensity. 
(Russian) 92i:60112 

Diekmann, Odo (with Gyllenberg, Mats; Thieme, Horst R.) Semigroups and renewa 
equations on dual Banach spaces with applications to population dynamics. 92h:47053 

Dopazo, Esther (with Morant, José Luis) A characterization of the infinitesimal gener- 
ator of uniformly continuous positive semigroups. (Spanish. English summary) (see 
92b:00044) 

Dore, Giovanni (with Venni, Alberto) Maximal regularity for parabolic initial-boundary 
value problems in Sobolev spaces. 92i:47092 

Egamberdiev, O.M. see Atakhodzhaev, M. A., 92c:35055 

Engel, Klaus-J. Growth estimates for semigroups generated by 2 x 2 operator matrices. 
92¢:47070 

Engler, Hans Regularity properties of solutions of linear integrodifferential equations with 
singular kernels. 924:47094 

Fattorini, H. O. see Ashyralyev, A., 92k:65143 

Favini, Angeio (with Obrecht, Enrico) Conditions for parabolicity of second order abstract 
differential equations. 92m:47078 

Giga, Mariko (with Giga, Yoshikazu; Sohr, Hermann) L? estimate for abstract linear 
parabolic equations. 92¢:35042 

Giga, Yoshikazu see Giga, Mariko; et al., 92e:35042 

Glinskii, Ya. N. Uniformly monotone explicit approximation methods for first-order 
operator-differential equations in a Hilbert space. (Ukrainian. Russian summary) 
92a:34068 

Gomilko, A. M. (with Radzievskii,G. V.) Asymptotics with respect to the parameter of 
solutions of linear functional-differential equations. (Russian. Ukrainian summary) 
92¢:34090 

Gorbachuk, M. L. (with Knyukh, B. I.) An inverse problem for the elliptic Sturm-Liouville 
equation in a Hilbert space. (Russian. Ukrainian summary) 92m:34040 

Greiner, Giinther (with Schwarz, Manfred) Weak spectral mapping theorems for 
functional-differential equations. 92k:47079 

(Grobbelaar-van Dalsen, Marié) see Erratum: “On B-evolution theory and dynamic boundary 
conditions on a portion of the boundary” 

Gyllenberg, Mats see Diekmann, Odo; et al., 92h:47053 

Ha, Ki Sik (with Kim, Jai Heui; Kim, Jong Kyu) Linear abstract Cauchy problem 





ORDINARY DIFFERENTIAL EQUATIONS 


1992 


associated with an exponentially bounded C-semigroup in a Banach space. 92c:47050 

Hansbo, Anita Error estimates for the numerical solution of a time-periodic linear parabolic 
problem. 92i:65159 

Henriquez, Hernan R. (with Hernandez, Eduardo A.) On the abstract Cauchy problem in 
Fréchet spaces. 92i:47043 

Hernandez, Eduardo A. see Henriquez, Hernan R., 92i:47043 

Hieber, Matthias Laplace transforms and a-times integrated semigroups. 92k:47075 

— Integrated semigroups and differential operators on L” spaces. 92g:47052 

— (with Rabiger, Frank) A remark on the abstract Cauchy problem on spaces of Hélder 
continuous functions. 92i:47044 

Holderrieth, A. Matrix multiplication operators generating one parameter semigroups. 
92b:47058 

Huang, Fa Lun A note on linear parabolic equations in Hilbert spaces. 92m:35117 

Tlolov, M. see Samoilenko, A. M., 92m:34034 

Jeong, Jin-Mun Stabilizability of retarded functional-differential equation in Hilbert space. 
92k:34107 

Jédar, Lucas (with Navarro, Enrique) Explicit solutions for boundary value probl 
related to the operator equations X‘2) — AY =0. (Czech summary) 92k:34017 

Kalenyuk, P.1. see Baranetskii, Ya. E., 92b:47026 

Katanova, V.I. see Almamedov, M. S.; et al., 92i:47052 and 92i:47053 

Kedyk, T. V. Invariant manifolds of hybrid quasimonotone extensions. (Russian. English 
summary) 92m:34105 

Kim, Jai Heui see Ha, Ki Sik; et al., 92c:47050 

Kim, Jong Kyu see Ha, Ki Sik; et al., 92¢:47050 

Kirichuk, P. A. An operator-valued function of Mittag-Leffler type and a probabilistic 
formula for solving the abstract Cauchy problem. (Russian) 92j:47077 

Knyukh, B. 1. see Gorbachuk, M. L., 92m:34040 

Korzyuk, V.1. (with Yurchuk, N. I.) The Cauchy problem for third-order hyperbolic 
operator-differential equations. (Russian) 92i:35077 

Kostadinov, St. I. see Bainov, Drumi D.; et al., 92h:34029 

Kozhanov, A. I. Some remarks on pseudohyperbolic equations with third-order dissipation 
of variable direction. (Russian) (see 92e:35003) 

Kozlov, R. I. Sublinear vector Lyapunov functions for linear differential equations in 
Banach spaces. (see 92m:49004) 

Kpekpassi, M. An analogue of Dubinskii’s theorem for differential equations on an infinite- 
dimensional superspace. (Russian) 92k:58036 

Krein, S. G. (with Tovbis, A. I.) Linear singular differential equations in finite-dimensional 
and Banach spaces. (Russian) 92¢:34003 

Lasiecka, Irena Exponential decay rates for the solutions of Euler-Bernoulli equations with 
boundary dissipation occurring in the moments only. 92k:35073 

deLaubenfels, Ralph J. Bounded, commuting multiplicative perturbations of strongly 
continuous group generators. 92f:47039 

Li, Cun Hua A class of semigroups generated by differential operators and solutions to 
initial value problems for evolution equations. (Chinese. English summary) 92k:47080 

Liang, Jin see Xiao, Ti Jun, 92b:47062 

Lomoyv, S. A. Sharpening the concept of an asymptotic series for singularly perturbed 
problems. (Russian) 92a:34059 

Lomovtsev, F.E. Necessary and sufficient conditions for the solvability of the Cauchy 
problem for an evolution operator-differential equation. (Russian. English summary) 
92m:47154 

Luchik, V. E. A truncation method for linear equations with impulses in a space of bounded 
numerical sequences. (Russian) 92f:34009 

— see also Samoilenko, A. M.; et al., 92c:34012 

Lunardi, Alessandra Some regularity results for linear variational second-order parabolic 
equations. (see 92m:47001) 

Makin, R.S. On the completeness of root vectors of a linearized problem on the dynamics 
of nuclear reactors. (Russian) 92d:82111 

Malyutin, V. B. Approximate calculation of path integrals with respect to measure generated 
by a system of differential equations of parabolic type. (Russian. English summary) 
92¢:65029 

Maslowski, Bohdan (with Seidler, Jan; Vrkoé, Ivo) An averaging principle for stochastic 
evolution equations. II. (Czech summary) 92j:60076 

McMorran, Andrew G. see Cooke, Charlie H., 92b:65077 

Miloslavskii, A. I. On the instability spectrum of an operator pencil. (Russian) 92d:47018 

Morant, José Luis see Dopazo, Esther, (92b:00044) 

Nambu, Takao Stabilization of parabolic systems via a degenerate nonnegative feedback. 
92j:93103 

Navarro, Enrique see Jédar, Lucas, 92k:34017 

Nazarov, V. 1. Solvability of linear operator-differential equations in Roumieu scales 
constructed with respect to a given linear unbounded operator. (Russian) 92¢:35169 

Nicaise, Serge Differential equations in Hilbert spaces and applications to boundary value 
problems in nonsmooth domains. 92a:35051 

— see also Ali Mehmeti, Felix, (92m:47001) 

Niechwiej, Jan Cosine functions of unbounded operators and second order differential 
equations. (Serbo-Croatian summary) 92c:47051 

Obrecht, Enrico see Favini, Angelo, 92m:47078 

Pandolfi, Luciano A Lyapunov theorem for semigroups of operators. 92b:47060 

Piskarév, S. I. Approximation of positive Co-semigroups of operators. (Russian) 
92m:47079 

Rabiger, Frank see Hieber, Matthias, 92i:47044 

Radzievskii, G. V. see Gomilko, A. M., 92c:34090 

Rapp, Piotr Point initial value problem for linear functional-differential equations in 
Banach spaces. 92i:34109 

Samoilenko, A. M. (with Teplinskii, Yu. V.; Luchik, V. E.) Reducibiiity of differential 
equations with impulses in the space of bounded numerical sequences. (Russian. English 
summary) 92¢:34012 

— (with Ilolov, M.) On the theory of time-inhomogeneous evolution equations with impulse 
actions. (Russian) 92m:34034 

Schwarz, Manfred see Greiner, Giinther, 92k:47079 

Seidler, Jan see Maslowski, Bohdan; et al., 92j:60076 








515 1992 


Shkalikov, A. A. (with Shkred, A. V.) A problem on steady oscillations of a transversally 
isotropic half-cylinder. (Russian) 92j:47140 

Shkred, A. V. see Shkalikov, A. A., 92j:47140 

Sohr, Hermann see Giga, Mariko; et al., 92¢:35042 

Teplinskii, Yu. V. see Samoilenko, A. M.; et al., 92c:34012 

Thieme, Horst R. see Diekmann, Odo; et al., 92h:47053 

Tovbis, A. I. see Krein, S. G., 92e:34003 

Tyurin, V.M. Invertibility of linear differential operators in some function spaces. 
(Russian) 92k:47091 

Umezu, Kenichiro On the Cauchy problem for analytic semigroups with weak singularity. 
92m:47080 

Varlamov, V. V. Asymptotic behavior of energy for an integro-differential equation that 
describes acoustic waves in a medium with relaxation. (Russian) 

Vasil’ev, V. V. The Cauchy problem for a second-order equation with a nondensely defined 
operator. (Russian) 92¢:47072 

Venni, Alberto see Dore, Giovanni, 92i:47092 

Vespri, Vincenzo Abstract quasilinear parabolic equations with variable domains. 
92h:34124 

— Analytic semigroups generated by ultraweak operators. 92j:47074 

Viadimirov, A. A. Realization of some input-output correspondences in a finite-dimensional 
space. (Russian) 92b:93019 

Vrkot, Ivo see Maslowski, Bohdan; et al., 92j:60076 

Wagner, Eberhard Uber ein abzahlbares System gewohnlicher linearer Differentialgleichun- 
gen von Bandstruktur. [On a countable system of ordinary linear differential equations of 
band structure] 92b:34011 

Winiarska, Teresa Eigenvalues and eigenspaces with a parameter. (Russian summary) 
92j:47141 

Xiao, Ti Jun (with Liang, Jin) A note on the propagators of second order linear diff ial 


34G Differential equations in abstract spaces 


34G20 


Hokkanen, Veli-Matti An implicit nonlinear time dependent equation has a solution. 
92i:34082 

Ivanov, A. E. Partial averaging in a class of differential equations in a non-Banach space. 
(Russian) (see 92e:00011) 

Izé, A. F. An infinite-dimensional extension of theorems of Hartman and Wirtner on 
monotone positive solutions of ordinary differential equations. 92m:34140 

Kostadinov, St. 1. see Bainov, Drumi D.; et al., 92a:34067 

Kostin, I. N. A regular app htoap on the attractors of singularly perturbed 
equations. (Russian. English summary) 92i:34083 

Krakowiak, Anna On the stability of the solution of differential equations in Banach spaces. 
(Polish summary) (see 92c:00013) 

Lakshmikantham, V. see Byszewski, Ludwik, 92h:34121 

Lee, Y.S. Singular perturbation of a nonlinear time-dependent problem in Hilbert space. 
92a:34069 

Loginov, B. V. (with Rusak, Yu. B.) Generalized Jordan structure in the problem of the 
stability of bifurcating solutions. 92j:34122 

Lu, Xiao Cheng Differential inequalities in cones and global existence of the unique solution 
for differential equations in Banach spaces. 92m:34141 

Luskin, Mitchell see Fabes, Eugene B.; et al., 92b:34072 

Miklavéié, Milan A sharp condition for existence of an inertial manifold. 92h:34123 

Mrozek, Marian (with Rybakowski, Krzysztof P.) Nontrivial full bounded solutions of 
time-periodic semilinear parabolic PDEs. 92i:34084 

Myshkis, A. D. see Bainov, Drumi D.; et al., 92a:34067 

Naselli Ricceri, Ornella Classical solutions of the problem x’ € F(t, x, x’), x(to) = 
Xo, X'(to) = Yo in Banach spaces. 924:34129 

Nashed, M. Zuhair (with Nguyén Xuan Tan) Nontrivial solutions of nonlinear equations 
from simple eigenvalues and their stability. 92m:34142 


WN 








equations in Hilbert spaces. 92b:47062 

Yagi, Atsushi Generation theorem of semigroup for multivalued linear operators. 
92j:47075 

Yurchuk, N. 1. see Korzyuk, V. 1., 92i:35077 

Zabreiko, P. P. see Bainov, Drumi D.; et al., 92h:34029 

Zheng, Quan’ Solvability and well-posedness of higher-order abstract Cauchy problems. 
92k:47081 


Items listed otherwise than by author 
Erratum: 
“On B-evolution theory and dynamic boundary conditions on a portion of the boundary” 
Erratum: “On B-evolution theory and dynamic boundary conditions on a portion 
of the boundary” [Appl. Anal. 40 (1991), no. 2-3, 151-172; MR 91k:35248] by M. 
Grobbelaar-van Dalsen. 


34G20 Nonlinear equations [see also 47Hxx] 


Aizicovici, Sergiu (with Pavel, Nicolae H.) Anti-periodic solutions to a class of nonlinear 
differential equations in Hilbert space. 92k:34078 

— Un probléme d’évolution antipériodique dans un espace de Hilbert. (English summary) 
[An antiperiodic evolution problem in a Hilbert space] 92k:34079 

Arrate Peiia, Manuel (with Domingo, Francisco) Existence and uniqueness of periodic 
solutions of ordinary differential equations in Banach spaces. (Spanish) (see 92b:00044) 

Bahaguna, D. (with Pani, Amiya K.; Raghavendra, V.) Rothe’s method to semilinear 
hyperbolic integrodifferential equations. 92a:34066 

Bainov, Drumi D. (with Kostadinov, St. I.; Myshkis, A. D.) Asymptotic equivalence of 
impulsive differential equations in a Banach space. 92a:34067 

Barbaszewska-Wisniowska, Anna The weak solutions of the Navier-Stokes type differential 
equation in Hilbert space. (Polish summary) 92m:34137 

Barkova, E. A. (with Zabreiko, P. P.) The Cauchy problem for higher-order differential 
equations with deteriorating operators. (Russian) 92d:34125 

Belonosov, V.S. The second Lyapunov’s method for abstract parabolic equations and its 
applications to equations with partial derivatives. 92j:34119 

Bochenek, Jan An abstract nonlinear second order differential equation. 92g:34083 

Boikov, I. V. Stability of solutions of differential and difference equations in critical cases. 
(Russian) 924:34126 

Botsenyuk, A. N. (with Pankov, A. A.) The method of fractional steps generated by the 
splitting of the phase space. (Russian) 92¢:34079 

Burdujan, [lie On n-homogeneous polynomial differential equations. (Romanian summary) 
92j:34120 

Byszewski, Ludwik (with Lakshmikantham, V.) Theorem about the existence and 
uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space. 
92h:34121 

Chen, Zhi Min A remark on flow invariance for semilinear parabolic equations. 92j:34121 

Coroian, Lia On a theorem of Dieudonné. 924:34127 

Domingo, Francisco see Arrate Peiia, Manuel, (92b:00044) 

Dosumov, T. B. On a theory of the generalized solution of the Cauchy problem. (Russian. 
Kazakh summary) 92m:34138 

Emmanuele, Giovanni Existence of approximate solutions for O.D.E.s under Carathéodory 
assumptions in closed, convex sets of Banach spaces. 92m:34139 

Fabes, Eugene B. (with Luskin, Mitchell; Sell, George R.) Construction of inertial 
manifolds by elliptic regularization. 92b:34072 

Futak, Jaén On the existence of solutions of operator-differential equations. 

Garay, Barnabas M. Deleting homeomorphisms and the failure of Peano’s existence 
theorem in infinite-dimensional Banach spaces. 92i:34081 

Glinskii, Ya. N. Uniformly monotone explicit approximation methods for first-order 
operator-differential equations in a Hilbert space. (Ukrainian. Russian summary) 
922:34068 

Goncharov, V. V. (with Tolstonogov, A. A.) Continuous selectors and properties of 
solutions of differential inclusions with m-accretive operators. (Russian) 92h:34122 

Hale, Jack K. (with Verduyn Lunel, S.M.) Averaging in infinite dimensions. 924:34128 


I , V. 1. The generalized Peano theorem in scales of Banach spaces with completely 
continuous embeddings. (Russian. English summary) 92i:34085 

— see also Zabreiko, P. P., 92k:34080 

Nguyén Xuan Tan see Nashed, M. Zuhair, 92m:34142 

Okochi, Hiroko An invitation to the anti-periodic problem. 92e:34080 

Ozdarska, Danuta On the relationship between bounded solutions of linear and quasilinear 
differential equations in Banach spaces. 92i:34086 

Pachpatte, B.G. On abstract second order differential equations. 92¢:34069 

Pani, Amiya K. see Bahaguna, D.; et al., 922:34066 

Panizzi, Stefano Abstract nonlinear Timoshenko beam equation. 92m:34143 

Pankov, A. A. see Botsenyuk, A. N., 92e:34079 

Pavel, Nicolae H. see Aizicovici, Sergiu, 92k:34078 

Polewczak, Jacek Ordinary differential equations on closed subsets of locally convex spaces 
with applications to fixed point theorems. 92g:34084 

Raghavendra, V. see Bahaguna, D.; et al., 922:34066 

Ruess, W. M. Asymptotic behavior of solutions to the abstract Cauchy problem. (see 
92m:00055) 

Rusak, Yu. B. see Loginov, B. V., 92j:34122 

Rybakowski, Krzysztof P. see Mrozek, Marian, 92i:34084 

Sell, George R. see Fabes, Eugene B.; et al., 92b:34072 

Shmulev, I. I. Some well-posed problems for finding periodic solutions of evolution 
equations. (Russian) 92i:34087 

Stawik, Lech On statistical solutions of nonlinear differential equations in Hilbert spaces. 
92m:34144 

Smith, Hal L. (with Thieme, Horst R.) Convergence for strongly order-preserving 
semiflows. 92m:34145 

Sofonea, Mircea Some remarks concerning a class of nonlinear evolution equations in 
Hilbert spaces. 92d:34130 

Taboada, Mario Approximate inertial manifolds for parabolic evolutionary equations via 
Yosida approximations. 92m:34146 

Talpalaru, Pavel On periodic solutions of nonlinear differential equations in Banach spaces. 
92£:34056 

Thieme, Horst R. see Smith, Hal L., 92m:34145 

Tolstonogov, A. A. see Goncharov, V. V., 92h:34122 

Verduyn Lunel, S. M. see Hale, Jack K., 924:34128 

Vespri, Vincenzo Abstract quasilinear parabolic equations with variable domains. 
92h:34124 

Volkmann, Peter Quelques résultats récents sur les équations différentielles dans les espaces 
de Banach. (English summary) [Some recent results on differential equations in Banach 
spaces] 92h:34125 

Zabreiko, P. P. (with Nazarov, V. 1.) Smoothness properties of the solutions of nonlinear 
differential equations. (Russian) 92k:34080 

— see also Barkova, E. A., 924:34125 


Items with secondary classifications in 34G20 

Abdelouhab, Laziz Nonlocal dispersive equations in weighted Sobolev spaces. 92k:35226 

Aftabizadeh, A. R. (with Pavel, Nicolae H.) Nonlinear boundary value probl for 
some ordinary and partial differential equations associated with monotone operators. 
92h:47091 

Agrachév, A. A. see Gamkrelidze, R. V.; et al., 92b:58056 

Ahmed, N. U. see Li, Peng, 92j:93132 

Akhmerov, R. R. (with Kamenskii, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskii, B. N.) 
* Measures of noncompactness and condensing operators. 92k:47104 

Albanese, Claudio (with Frohlich, Jiirg) Perturbation theory for periodic orbits in a class of 
infinite-dimensional Hamiltonian systems. 92i:58149 

Amann, Herbert Hopf bifurcation in quasilinear reaction-diffusion systems. 92h:35102 

— Highly degenerate quasilinear parabolic systems. 92m:35145 

Antonino, José A. (with Checa, Emilio; Romaguera, Salvador) Semicontinuity conditions 
applied to fixed-point theorems. (Spanish. English summary) (see 92g:00024) 

Arosio, A. (with Garavaldi, S.) On the mildly degenerate Kirchhoff string. 92¢:35072 

Aston, P. J. see Spence, A.; et al., (92d:65009) 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Nonconvex perturbations of 
evolution equations with m-dissipative operators in Banach spaces. 92h:35093 








34G20 


Babin, A. V. (with Vishik, M. 1.) Uniform finite-parameter asymptotics of solutions of 
nonlinear evolution equations. 92j:35016 

Bainov, Drumi D. (with Zabreiko, P. P.; Kostadinov, St. 1.) Stability of the general exponent 
of nonlinear differential equations with impulse effect in a Banach space. 92:34041 

— (with Kostadinov, St. I.; Zabreiko, P. P.) Existence of solutions of nonlinear impulsive 
differential equations with exponentially dichotomous or dichotomous linear part. 
92k:34012 

— (with Kostadinov, St. I.; Zabreiko, P. P.) Lp-equivalence of a linear and a nonlinear 
impulsive differential equation in a Banach space. 92h:34029 

Bernardi, Marco Luigi (with Pozzi, Gianni Arrigo) On a class of singular nonlinear 
parabolic variational inequalities. (Italian summary) 92m:47136 

Bradley, M. E. (with Lasiecka, Irena) Existence of the solutions to the Euler-Bernoulli plate 
model with semilinear boundary conditions. 924:35196 

Brunovsky, Pavol (with Tereséak, Ignac) Regularity of invariant manifolds. 92j:58095 

Brzeiniak, Zdzistaw Asymptotic behaviour as f — oo of solutions to nonlinear evolution 
equations. (Russian summary) 92b:47109 

Burton, T. A. (with Zhang, Bo') Periodic solutions of abstract differential equations with 
infinite delay. 92e:34085 

Cazenave, Thierry (with Haraux, Alain; Weissler, Fred B.) Une équation des ondes 
complétement intégrable avec non-linéarité homogéne de degré trois. (English summary) 
[A completely integrable wave equation with a cubic nonlocal nonlinearity] 92g:35137 

Cellina, Arrigo (with Staicu, Vasile) On evolution equations having monotonicities of 
opposite sign. 92¢:34014 

Checa, Emilio see Antonino, José A.; et al., (92g:00024) 

Chobanov, Georgi Iv. (with Marino, Antonio; Scolozzi, D.) Evolution equation for 
the eigenvalue problem for the Laplace operator with respect to an obstacle. (Italian 
summary) 92m:35049 

Chow, Shui-Nee (with Lin, Xiao-Biao; Lu, Kening) Smooth invariant foliations in infinite- 
dimensional spaces. 92k:58210 

Colli, Pierluigi (with Visintin, Augusto) On a class of doubly nonlinear evolution equations. 
92¢:47120 

Cotsiolis, Athanase see Karazeeva, N. A.; et al., 92k:58251 

Crandall, Michael G. (with Souganidis, Panagiotis E.) On nonlinear equations of evolution. 
92c:47081 

— (with Lions, Pierre-Louis) Viscosity solutions of Hamilton-Jacobi equations in infinite 
dimensions. V. Unbounded linear terms and B-continuous solutions. 92g:35043 

Dal Maso, Gianni (with Rampazzo, Franco) On systems of ordinary differential equations 
with measures as controls. 92g:49037 

De Blasi, F.S. (with Pianigiani, G.) Non-convex-valued differential inclusions in Banach 
spaces. 92h:34037 

Debussche, Arnaud (with Temam, Roger) Inertial manifolds and slow manifolds. 
921:58161 

Demengel, Francoise (with Ghidaglia, Jean-Michel) Inertial manifolds for partial 
differential evolution equations under time-discretization: existence, convergence, and 
applications. (French summary) 92¢:35079 

— (with Ghidaglia, Jean-Michel) Some remarks on the smoothness of inertial manifolds. 
92:58162 

Desch, Wolfgang (with Schappacher, W.; Zhang, Kang Pei) Semilinear evolution equations. 
92d:47087 

— (with Miller, Richard K.; Skaar, Steven B.) A slewing beam problem. 92a:73044 

Diamond, Phil Impulsive evolution equations and population models. (see 92f:92004) 

Di Blasio, Gabriella Optimal control with infinite horizon for distributed parameter systems 
with constrained controls. 92¢:49014 

Diekmann, Odo (with van Gils, Stephan A.) The center manifold for delay equations in the 
light of suns and stars. 92m:47151 

Donchev, Tzanko Donchev Functional-differential inclusion with monotone right-hand side. 
92a:34070 

Dorogovtsev, A. Ya. Stochastically periodic solutions of differential equations with operator 
coefficients. (Russian. Ukrainian summary) 92i:60123 

Du, Yi Hong Fixed points of increasing operators in ordered Banach spaces and applica- 
tions. 92f:47057 

Eden, A. (with Foias, Ciprian; Temam, Roger) Local and global Lyapunov exponents. 
924:58118 

Ershov, S. V. (with Potapov, A. B.) Bifurcations of inertial manifolds in a model problem. 
(Russian. English summary) 92m:58098 

Escher, Joachim Some global existence and blow-up results for semilinear parabolic systems 
with nonlinear boundary conditions. (see 92m:47001) 

Feireisl, Eduard (with Norbury, John) Some existence, uniqueness and nonuniqueness 
theorems for solutions of parabolic equations with discontinuous nonlinearities. 
92g:35139 

Fitzgibbon, William E. (with Parrott, Mary E.) Linearized stability of semilinear delay 
equations in fractional power spaces. 92c:34091 

Flahaut, Isabelle Approximate inertial manifolds for the sine-Gordon equation. 92g:35192 

— Attractors for the dissipative Zakharov system. 92d:35232 

Foias, Ciprian The approximation by algebraic sets of the attractors of dissipative ordinary 
or partial differential equations. 92m:35035 

— (with Jolly, M. S.; Kevrekidis, Ioannis G.; Titi, Edriss Saleh) Dissipativity of numerical 
schemes. 92f:65099 

— see also Eden, A.; et al., 92d:58118 

Frigon, Marlene (with Saccon, Claudio) Heat equations with discontinuous nonlinearities 
on convex and nonconvex constraints. 92k:35167 

Frohlich, Jiirg see Albanese, Claudio, 92i:58149 

Fryszkowski, Andrzej (with Rzezuchowski, Tadeusz) Continuous version of Filippov- 
Wazewski relaxation theorem. 92j:34031 

Gamkrelidze, R. V. (with Agrachév, A. A.; Vakhrameev, S. A.) Ordinary differential 
equations on vector bundles, and chronological calculus. (Russian) 92b:58056 

Garavaldi, S. see Arosio, A., 92c:35072 

Garay, Barnabas M. Parallelizability in Banach spaces: parallelizable dynamical systems 
with bounded trajectories. 92e:58181 

Gardner, Robert Alan (with Jones, Christopher K. R. T.) Stability of one-dimensional 


ORDINARY DIFFERENTIAL EQUATIONS 


waves in weak and singular limits. 92k:35130 

Garroni, Maria Giovanna (with Vivaldi, M. A.) Quasilinear, parabolic, integro-differential 
problems with nonlinear oblique boundary conditions. 92¢:35093 

Georgiev, Vladimir S. (with Todorova, Grozdena) Existence of solution of the wave 
equation with nonlinear damping and source terms. (French summary) 92j:35125 

Gerko, A. I. Some existence th of Lyapunov stable, Poisson stable, recurrent (in 
the sense of Birkhoff), distal and almost Bohr periodic solutions of multidimensional 
differential equations. (Russian. English and Moldavian summaries) 92h:34094 

Gershtein, L. M. (with Sil/chenko, Yu. T.; Sobolevskii, P. E.) Semigroup approaches to the 
investigation of problems in thermoelasticity. (Russian) 92a:35077 

Ghidaglia, Jean-Michel (with Marzocchi, A.) Finite-dimensional global attractors for 
strongly damped wave equations. (see 92k:35002) 

— (with Marzocchi, A.) Exact decay estimates for solutions to semilinear parabolic 
equations. 92d:35047 

— see also Demengel, Francoise, 92¢:35079 and 92f:58162 

van Gils, Stephan A. see Diekmann, Odo, 92m:47151 

Goldstein, Jerome A. (with Lin, Chin Yuan) An L? semigroup approach to degenerate 
parabolic boundary value problems. 92k:47137 

Gompa, Raghu R. Time-dependent normal form theory and Schrédinger initial value 
problems. 92a:81032 

Grechko, V. I. On the determination of periodic solutions of countable systems of ordinary 
differential equations. (Russian) 92j:34085 

Grillakis, Manoussos G. (with Shatah, Jalal; Strauss, Walter Alexander) Stability theory of 
solitary waves in the presence of symmetry. II. 92a:35135 

Guo, Da Jun Nonnegative solutions of two-point boundary value probl 
second order integrodifferential equations in Banach spaces. 92b:34075 

Hale, Jack K. (with Raugel, Genevieve) Partial differential equations on thin domains. 
92i:35012 

Hanebaly, E. Un théoréme du point fixe et solutions périodiques d’équations différentielles 
V -dissipatives. (English summary) [A fixed-point theorem and periodic solutions of V- 
dissipative differential equations] 92j:47119 

Haraux, Alain see Cazenave, Thierry; et al., 92g:35137 

Heikkila, Seppo (with Kumpulainen, M.; Lakshmikantham, V.) On solvability of mixed 
monotone operator equations with applications to mixed quasimonotone differential 
systems involving discontinuities. 92j:47120 

Heinz, G. see Schneider, Klaus R., 92h:58146 

Hijab, Omar Infinite-dimensional Hamilton-Jacobi equations with large zeroth-order 
coefficient. 92m:35044 

Hu, Shou Chuan (with Lakshmikantham, V.; Papageorgiou, Nikolaos S.) On the solution 
set of nonlinear evolution inclusions. 92m:34042 

Hu, Xuan Da An existence and uniqueness theorem for a class of semilinear stochastic 
evolution equations in the dual of a nuclear space. (Chinese. English summary) 

Huang, Ai Xiang see Li, Kai Tai; et al., 92k:35223 

(Iacob, A.) see Akhmerov, R. R.; et al., 92k:47104 

Tooss, G. (with Mielke, Alexander) Bifurcating time-periodic solutions of Navier-Stokes 
equations in infinite cylinders. 92b:35027 

Jimbo, Shuichi see Morita, Yoshihisa, 92m:35134 

Jiménez, Rail F. Nonlinear evolution probl on 
tuguese summary) 92k:35309 

Jolly, M.S. (with Kevrekidis, loannis G.; Titi, Edriss Saleh) Preserving dissipation in 
approximate inertial forms for the Kuramoto-Sivashinsky equation. 92b:35165 

— see also Foias, Ciprian; et al., 92f:65099 

Jones, Christopher K. RR. T. see Gardner, Robert Alan, 92k:35130 

Jung, Jong Soo (with Takahashi, Wataru) Dual convergence theorems for the infinite 
products of resolvents in Banach spaces. 92k:47102 

Kaczor, W. Measures of noncompactness and an existence theorem for differential 
equations in Banach spaces. (Polish summary) 924:47083 

Kamenskii, M.I. see Akhmerov, R. R.; et al., 92k:47104 

Kanda, Shigeo Existence of solutions to u’(t) = Au(t) for A weakly closed. 92k:47132 

Kannai, Zoltén Viability theorems with convex and weakly compact right-hand side. 
92m:34043 

— (with Tallés, Péter) Viable trajectories of nonconvex differential inclusions. 92m:34044 

Karazeeva, N. A. (with Cotsiolis, Athanase; Oskolkov, A. P.) Dynamical systems generated 
by initial-boundary value problems for equations of motion of linear viscoelastic fluids. 
(Russian) 92k:58251 

Kartsatos, Athanassios G. Applications of nonlinear perturbation theory to the existence of 
methods of lines for functional evolutions in reflexive Banach spaces. (Polish summary) 
92d:34149 

— The existence of bounded solutions on the real line of perturbed nonlinear evolution 
equations in general Banach spaces. 92i:34108 

— On the method of steps for time-dependent delay equations in general Banach spaces. 
92d:34150 

Kato, Tosio Liapunov functions and monotonicity in the Navier-Stokes equation. 
92a:35131 

— Weak solutions of infinite-dimensional Hamiltonian systems. 924:35064 

Kevrekidis, Ioannis G. see Jolly, M. S.; et al., 92b:35165 and Foias, Ciprian; et al., 92f:65099 

Khatskevich, V. L. Solvability of a periodic problem for a nonlinear Hamiltonian system. 
(Russian) 92m:47127 

Khoang Zyong Tuan A theorem on the continuous parameter dependence of the solution 
set of differential inclusions in a Banach space with closed right-hand side. (Russian. 
Ukrainian summary) 92m:34045 

Kloeden, Peter Remarks on Peano-like theorems for fuzzy differential equations. 92h:34010 

Kolomiets, V.G. (with Mel'nikov, A. I.) On the existence and properties of solutions, 
bounded in the mean square, of a class of quasilinear stochastic evolution equations. 
(Russian) 92g:60080 

Kostadinov, St. 1. see Bainov, Drumi D.; et al., 92f:34041; 92h:34029 and 92k:34012 

Kovalév, P. I. Parametrizable subsets of Banach spaces. (Russian) 92j:46036 

Krawvaritis, Dimitrios (with Papageorgiou, Nikolaos S.) A boundary value problem for a 
class of evolution inclusions. 92¢:47116 

Kfivan, Vlastimil Perturbation of viability problem. 92a:49005 





for nonlinear 








ifolds without boundary. (Por- 





517 1992 


Kumpulainen, M. see Heikkila, Seppo; et al., 92j:47120 

Ladyzhenskaya, O. A. * Attractors for igroups and e equations. 92k:58040 

Lakshmikantham, V. see Heikkila, Seppo; et al., 92j:47120 and Hu, Shou Chuan; et al., 
92m:34042 

Lasiecka, Irena see Bradley, M. E., 92d:35196 

Letavin, M. I. Stability of evolution equations with a nonlinear first approximation. 
(Russian) 92k:47133 

Li, Kai Tai (with Huang, Ai Xiang) Approximate inertial manifolds for Navier-Stokes 
equations. (Chinese. English summary) 92k:35223 

Li, Peng (with Ahmed, N. U.) Feedback stabilization of some nonlinear stochastic systems 
on Hilbert space. 92j:93132 

Li, Zheng Yuan see Ye, Qi Xiao; et al., 92i:35067 

Lin, Chin Yuan see Goldstein, Jerome A., 92k:47137 

Lin, Xiao-Biao see Chow, Shui-Nee; et al., 92k:58210 

Lions, Pierre-Louis see Crandall, Michael G., 92g:35043 

Liu, Xinzhi Monotone iterative technique for impulsive differential equations in a Banach 
space. 92g:34014 

Lu, Kening see Chow, Shui-Nee; et al., 92k:58210 

Lunardi, Alessandra On a class of fully nonlinear parabolic equations. 92c:35058 

Magenes, E. Numerical approximation of nonlinear evolution problems. 92f:65096 

Marino, Antonio see Chobanov, Georgi Iv.; et al., 92m:35049 

Maruyama, Toru A variational problem governed by a multi-valued differential equation in 
a separable Hilbert space. 92b:49009 

Marzocchi, A. see Ghidaglia, Jean-Michel, 924:35047 and (92k:35002) 

Maslov, V. P. * AcuMnToTH4eCKHe MeTObI H TeopHsa BOsMyuleHHH. (Russian) [Asymptotic 
methods and perturbation theory] 92i:35013 

Melnik, V.S. Extremal problems for operator-differential systems. (Russian) 92g:49003 

Melnikov, A. I. see Kolomiets, V. G., 92g:60080 

Mielke, Alexander Locally invariant manifolds for quasilinear parabolic equations. 
92i:58169 

— see also looss, G., 92b:35027 

Miklavéit, Milan Galerkin approximations for weakly nonlinear second order evolution 
equations. 92b:65044 

Miller, Richard K. see Desch, Wolfgang; et al., 92a:73044 

Mokhtar-Kharroubi, Mustapha Time asymptotic behaviour and compactness in transport 
theory. 92k:82063 

Morita, Yoshihisa (with Jimbo, Shuichi) Ordinary differential equations (ODEs) on inertial 
manifolds for reaction-diffusion systems in a singularly perturbed domain with several 
thin channels. 92m:35134 

Moroganu, G. (with Petrovanu, Dan) Time periodic solutions for a class of hyperbolic 
partial differential systems. 92¢:35012 

Naselli Ricceri, Ornella (with Ricceri, Biagio) Differential inclusions depending on a 
parameter. (Russian summary) 92e:34021 

Norbury, John see Feireisl, Eduard, 92g:35139 

Nowakowski, Andrzej (with Rogowski, Andrzej) Periodic solutions for a class of nonlinear 
hyperbolic equations. 92i:49007 

Orlov, A. V. On the periodic solvability of nonlinear evolution equations. (Russian) (see 
92i:00016) 

Orlovskii, D.G. An inverse problem for an equation of hyperbolic type in a Hilbert space. 
(Russian) 92m:35274 

— see also Prilepko, A. 1., 92k:35283 

Oskolkov, A. P. see Karazeeva, N. A.; et al., 92k:58251 

(Pakes, Anthony G.) see Diamond, Phil, (92f:92004) 

Pankov, A. A. * Bounded and almost periodic solutions of nonlinear operator differential 
equations. 92f:35002 

Nikolaos S. On the well-posedness and relaxability of nonlinear distributed 

parameter systems. (see 92f:93005) 

— Volterra integrodifferential inclusions in reflexive Banach spaces. 92i:34112 

— Sensitivity analysis of evolution inclusions and its applications to the variational stability 
of optimal control problems. 92m:49046 

— see also Krawvaritis, Dimitrios, 92e:47116; Avgerinos, Evgenios P., 92h:35093 and Hu, 
Shou Chuan; et al., 92m:34042 

Parrott, Mary E. see Fitzgibbon, William E., 92c:34091 

Pavel, Nicolae H. see Aftabizadeh, A. R., 92h:47091 

Peplow, A. T. see Stuart, A. M., 92j:65101 

Petrovanu, Dan see Morogsanu, G., 92c:35012 

Pianigiani, G. see De Blasi, F. S., 92h:34037 

Poldtik, Peter Complicated dynamics in scalar semilinear parabolic equations in higher 
space dimension. 92¢:35063 

Poreda, Tadeusz Generalized differential equations for maps of Banach spaces. 92j:47139 

Potapov, A. B. see Ershov, S. V., 92m:58098 

Potapov, A.S. see Akhmerov, R. R.; et al., 92k:47104 

Pozzi, Gianni Arrigo see Bernardi, Marco Luigi, 92m:47136 

Precup, Radu Topological transversality, perturbation theorems and second order 
differential equations. 92i:47081 

Prilepko, A. I. (with Orlovskii, D.G.) Determination of the evolution of a parameter in an 
abstract parabolic equation. (Russian) 92k:35283 

Promislow, Keith (with Temam, Roger) Approximate interaction laws for small and large 
waves in the Ginzburg-Landau equation. 92¢:35157 

— (with Temam, Roger) Localization and approximation of attractors for the Ginzburg- 
Landau equation. 92m:58121 

Qin, Tie Hu Classical solutions of boundary value probl 
92a:35100 

Rampazzo, Franco see Dal Maso, Gianni, 92g:49037 

Raugel, Genevieve see Hale, Jack K., 92i:35012 

Reichert, Marianne Zusammenhang der Fixpunktmenge bei verdichtenden Volterra- 
Operatoren. [Connectedness of the fixed point set in the case of condensing Volterra 
operators] 92g:47095 

Ricceri, Biagio see Naselli Ricceri, Ornella, 92e:34021 

Rodkina, A. E. see Akhmerov, R. R.; et al., 92k:47104 








of Carleman equation. 


34G Differential equations in abstract spaces 


34G20 


Rodriguez Bernal, Anibal Inertial manifolds for dissipative semiflows in Banach spaces. 
92h:58170 

Rogovchenko, S. P. (with Rogovchenko, Yu. V.) Continuous dependence of solutions of 
impulse evolution systems on the initial data. (Russian) 92m:34033 

Rogovchenko, Yu. V. see Rogovchenko, S. P., 92m:34033 

Rogowski, Andrzej see Nowakowski, Andrzej, 92i:49007 

Romaguera, Salvador see Antonino, José A.; et al., (92g:00024) 

Romanov, A. V. On the dimension of the center manifold for semilinear parabolic 
equations. (Russian. Ukrainian summary) 92f:35077 

— Conditions for asymptotic k-dimensionality of semilinear parabolic equations. (Russian) 
92e:35090 

Ruess, W. M. (with Summers, W. H.) Weak almost periodicity and the strong ergodic limit 
theorem for periodic evolution systems. 92¢:47082 

Rzezuchowski, Tadeusz see Fryszkowski, Andrzej, 92j:34031 

Saccon, Claudio see Frigon, Marlene, 92k:35167 

Sadovskii, B. N. see Akhmerov, R. R.; et al., 92k:47104 

Scarpellini, Bruno Center manifolds of infinite dimensions. I. Main results and applications. 
92i:58170 

— Center manifolds of infinite dimensions. II. Proofs of the main results. 92i:58171 

Schappacher, W. see Desch, Wolfgang; et al., 92d:47087 

Schneider, Klaus R. (with Heinz,G.) Branch inclusion in generic Hopf bifurcation: general 
approach. (German and Russian summaries) 92h:58146 

Scolozzi, D. see Chobanov, Georgi Iv.; et al., 92m:35049 

Shatah, Jalal see Grillakis, Manoussos G.; et al., 92a:35135 

Shelukhin, V. V. A problem with time-average data for nonlinear parabolic equations. 
(Russian) 92g:35093 

Shutyaev, V. P. On the perturbation method for a first-order weakly nonlinear hyperbolic 
problem. (Russian) 

Sil’chenko, Yu. T. see Gershtein, L. M.; et al., 92a:35077 

Skaar, Steven B. see Desch, Wolfgang; et al., 92a:73044 

So, Joseph Wai-Hung (with Wu, Jian Hong) Topological dimensions of global attractors for 
semilinear PDEs with delays. 92g:58116 

Sobolevskii, P. E. see Gershtein, L. M.; et al., 92a:35077 

Panagiotis E. see Crandall, Michael G., 92c:47081 

Spence, A. (with Aston, P. J.; Wu, Wei') Bifurcation and stability analysis in nonlinear 
equations using symmetry breaking in extended systems. (see 92d:65009) 

Staicu, Vasile see Cellina, Arrigo, 92c:34014 

Strauss, Walter Alexander see Grillakis, Manoussos G.; et al., 92a:35135 

Stuart, A.M. (with Peplow, A. T.) The dynamics of the theta method. 92j:65101 

Summers, W. H. see Ruess, W. M., 92c:47082 

Sun, Jing Xian Fixed-point theorems for increasing operators and applications to nonlinear 
equations with discontinuous terms in Banach spaces. (Chinese) 92m:47119 

Takdaé, Peter Linearly stable subharmonic orbits in strongly monotone time-periodic 
dynamical systems. 92i:34056 

Takahashi, Wataru see Jung, Jong Soo, 92k:47102 

Tallés, Péter see Kannai, Zoltan, 92m:34044 

Tataru, Daniel Time dependent m-accretive operators generating differential evolutions. 
92£:47070 

— Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms. 
92m:47155 

Temam, Roger see Eden, A.; et al., 92d:58118; Promislow, Keith, 92e:35157; Debussche, 
Arnaud, 92f:58161 and Promislow, Keith, 92m:58121 

TereStak, Igndc see Brunovsky, Pavol, 92j:58095 

Tesalkin, A. V. An infinite-dimensional van der Pol-type equation. (Russian) 92¢e:35163 

Thieme, Horst R. Semiflows generated by Lipschitz perturbations of non-densely defined 
operators. 92¢:47121 

Titi, Edriss Saleh Un critére pour l’approximation des solutions périodiques des équations 
de Navier-Stokes. (English summary) [A criterion for approximating time-periodic 
solutions to the Navier-Stokes equations] 92e:35130 

— see also Jolly, M. S.; et al., 92b:35165 and Foias, Ciprian; et al., 92f:65099 

Todorova, Grozdena see Georgiev, Vladimir S., 92j:35125 

Tolstonogov, A. A. Extremal selectors of multivalued mappings and the “bang-bang” 
principle for evolution inclusions. (Russian) 92f:49011 

— Properties of integral solutions of differential inclusions with m-accretive operators. 
(Russian) 92k:47127 

Umarov, Kh. G. The Cauchy problem in a Banach space for an analogue of a diffusion 
equation that is not solved with respect to the time derivative. (Russian) 92¢:35077 

Vakhrameev, S. A. see Gamkrelidze, R. V.; et al., 92b:58056 

Valadier, Michel Lipschitz approximation of the sweeping (or Moreau) process. 92i:49039 

Vidossich, Giovanni Periodic solutions of hyperbolic equations using ordinary differential 
equations. 92g:35022 

Vishik, M.1. see Babin, A. V., 92j:35016 

Visintin, Augusto see Colli, Pierluigi, 92e:47120 

Vivaldi, M. A. see Garroni, Maria Giovanna, 92¢:35093 

Vladimirov, A. A. Differential inclusions with nonstationary maximal monotone operators. 
(Russian) 92¢:34018 

— Nonstationary dissipative evolution equations in a Hilbert space. 92h:47099 

Vuillermot, Pierre-A. A geometric theory for semilinear almost-periodic parabolic partial 
differential equations on R”. (see 92m:35004) 

Weissler, Fred B. see Cazenave, Thierry; et al., 92g:35137 

Winiarska, Teresa Nonlinear evolution equation with a parameter. (Russian summary) 
92j:47142 

Wu, Jian Hong Unified treatment of local theory of NFDES with infinite delay. 92h:34141 

— see also So, Joseph Wai-Hung, 92g:58116 

Wu, Wei! see Spence, A.; et al., (92d:65009) 

Xu, Xiang Sheng Application of nonlinear semigroup theory to a system of PDEs governing 
diffusion processes in a heterogeneous medium. 92j:47143 

Yagi, Atsushi Abstract quasilinear evolution equations of parabolic type in Banach spaces. 
(Italian summary) 92h:47100 





34G20 


Ye, Qi Xiao (with Li, Zheng Yuan) * Fanying kuosan fangcheng yinlun. (Chinese) 
{Introduction to reaction-diffusion equations] 92i:35067 

Zabreiko, P. P. see Bainov, Drumi D.; et al., 92f:34041; 92h:34029 and 92k:34012 

(Zayachkovskii, V.S.) see Pankov, A. A., 92£:35002 

Zhang, Bo' see Burton, T. A., 92e:34085 

Zhang, Kang Pei see Desch, Wolfgang; et al., 92d:47087 

Zhu, Qi Ji On the solution set of differential inclusions in Banach space. 92h:34042 


34G99 None of the above, but in this section 


Items with secondary classifications in 34G99 

Albeverio, Sergio (with Réckner, Michael) Stochastic differential equations in infinite 
dimensions: solutions via Dirichlet forms. 92k:60123 

Debnath, Lokenath see Wiener, Joseph, 92d:35290 

Konyukhova, N. B. On the existence and uniqueness of solutions, bounded in time, of 
systems of evolution quasilinear equations with first-order partial derivatives. (Russian) 
92m:35115 

Mascarenhas, M. Luisa I-limite d’une fonctionnelle liée 4 un phénoméne de mémoire. 
(English summary) [I-limit of a functional associated with a memory effect phenomenon] 
924:49021 

Rickner, Michael see Albeverio, Sergio, 92k:60123 

Shutyaev, V. P. On the calculation of a functional in a nonlinear problem using a conjugate 
equation. (Russian) 92m:47148 

Wiener, Joseph (with Debnath, Lokenath) Partial differential equations with piecewise 
constant delay. 924:35290 


34H05 Control problems [see also 49J25, 49K25, 93C15] 


Postnikov, N.S. Stochastic self-induced oscillations in a relay system with hysteresis. 
(Russian) 92i:34088 

Zaitsev, V.V. The second Lyapunov method for estimates of domains of reachability of 
nonlinear systems. (Russian) 92c:34070 


Items with secondary classifications in 34H05 


Acquistapace, P. (with Flandoli, Franco; Terreni, B.) Initial-boundary value problems and 
optimal control for nonautonomous parabolic systems. 92b:49038 

Ahmed, N. U. see Li, Peng, 92j:93132 

Alekseev, N. K. * 3apHcHMocTb MHOXeCTBa YpaBsIAeMOCTH OT NapameTpa. (Russian) 
[Dependence of a controllability set on a parameter] 92a:93013 

Appeil, Jiirgen (with Krasnosel’skii, A.M.) New theorems on asymptotic bifurcation 
points. 92m:47122 

Arnold, Ludwig Stochastic differential equations as dynamical systems. (see 92b:93006) 

Artem’ev, S.S. see Averina, T. A., 92k:65102 

Aseev, S.M. Smooth approximations of differential inclusions and the time-optimality 
problem. (Russian) 92m:49039 

Averina, T. A. (with Artem’ev, S. S.) * UncnenHoe MofenMpoBaHHe B 3aja4ax aHasH3a A 
CHHTe3a CTOXACTHYCCKHX CHCTeM ynpaByeHHa. (Russian) [Numerical modeling in problems 
of analysis and synthesis of stochastic control systems] 92k:65102 

Bacciotti, Andrea * Local stabilizability of nonlinear control systems. 92k:93005 

Banks, S. P. (with Chanane, B.) Functional expansion and stability for nonlinear input- 
output maps. 92a:93090 

Battilotti, Stefano A sufficient condition for nonlinear noninteracting control with stability 
via dynamic state feedback. 92k:93048 

— (with Dayawansa, W. P.) Stabilization of globally noninteractive nonlinear systems via 
dynamic state-feedback. 92j:93097 

Bello, Juan A. (with Fernandez Cara, Enrique) Geometric control, differentiation with 
respect to domains and applications (Navier-Stokes). (Spanish) 924:49080 

Boothby, W. M. (with Marino, Riccardo) The center manifold theorem in feedback 
stabilization of planar, single input systems. 92b:93060 

Brokate, Martin Optimal control of systems described by ordinary differential equations 
with nonlinear characteristics of hysteresis type. [I]. (Russian) 92m:49002 

Buslaeva, L.T. A numerical procedure for solving a discrete-continuous control problem. 
(Russian) 92b:49057 

Butkovskii, A.G. * Phase portraits of control dynamical systems. 92j:93003 

Chanane, B. see Banks, S. P., 92a:93090 

Corless, Martin (with Ryan, E. P.) Robust feedback control of singularly perturbed 
uncertain dynamical systems. 92f:93057 

Dal Maso, Gianni (with Rampazzo, Franco) On systems of ordinary differential equations 
with measures as controls. 92g:49037 

Datta, K. B. see Sen, Siddhartha”, 92m:93035 

Dayawansa, W. P. see Battilotti, Stefano, 92j:93097 

De Abreu-Garcia, J. A. see Mossayebi, F.; et al., 92i:58109 

Di Blasio, Gabriella Optimal control with infinite horizon for distributed parameter systems 
with constrained controls. 92¢:49014 

Dragan, V. (with Halanay, Aristide) Preservation of exponential stability under discrete 
realization of control with application to adaptive stabilization. (Russian) 92b:93069 

— (with Halanay, Aristide) Asymptotic expansions for Liapunov and Riccati equations as- 
sociated to linear control systems with two time scales and applications. (see 92m:49004) 

El-Ansary, Mohamed Stochastic feedback design for a class of nonlinear singularly 
perturbed systems. 92h:93046 

Elkin, V. 1. Subsystems of affine control systems. ( Russian) 92d:93032 

Fernandez Cara, Enrique see Bello, Juan A., 92d:49080 

Flandoli, Franco see Acquistapace, P.; et al., 92b:49038 

Fomenko, A. V. Synthesis of a singularly perturbed control system using fields of slow and 
fast extremals. (Russian) 

Fridman, E.M. Decomposition of linear optimal singularly perturbed systems with 
aftereffect. (Russian) 92b:93028 

Fridman, L. M. Singular redefinitions of discontinuous systems, and stability. (Russian) 
92b:34030 


ORDINARY DIFFERENTIAL EQUATIONS 


Garnaev, A. Yu. see Sedykh, L. G., 92d:80004 

Goebel, Manfred (with Raitums, Uldis) Optimal control of two-point boundary value 
problems. (see 92i:93007) 

— (with Raitums, Uldis) On necessary optimality conditions for systems governed by a two- 
point boundary value problem. II. 92a:49029 

Hajek, Otomar * Control theory in the plane. 92b:93002 

Halanay, Aristide see Dragan, V., 92b:93069 and (92m:49004) 

Hartley, Tom T. see Mossayebi, F.; et al., 92i:58109 

Heck, Bonnie S. Sliding-mode control for singularly perturbed systems. 92b:93029 

Hollot,C. V. see Huang, Lin; et al., 92h:34100 

Hsieh, Ché Kuang see Su, Juhng Perng 

Huang, Lin (with Hollot, C. V.; Xu, Zhong Ling) Some problems of Lyapunov method in 
linear continuous-time system. 92h:34100 

Hubbard, Mont see Krener, Arthur J.; et al., 92k:93065 

Kamen’, V. B. (with Spivakovskii, V. B.) On an optimal control problem. (see 92m:49004) 

Karahan, Sinan see Krener, Arthur J.; et al., 92k:93065 

Kawski, Matthias Families of dilations and asymptotic stability. 92h:93073 

Khapaev, Mikhail Mikhailovich Conditions for the controllability of singularly perturbed 
systems that contain singular controls. (Russian) 

Khrustalev, M. M. Estimates, exact description of reachable sets and global properties of 
dynamic systems. (see 92i:34003) 

(Kolmanovskii, V. B.) see Brokate, Martin, 92m:49002 

(Koroleva, N. 1.) see Brokate, Martin, 92m:49002 

Kovalev, A. M. Oriented manifolds and the controllability of dynamical systems. (Russiaii) 
92h:93024 

Krasnosel'skii, A. M. see Appell, Jiirgen, 92m:47122 

Krener, Arthur J. (with Hubbard, Mont; Karahan, Sinan; Phelps, Andrew R.; Maag, 
Benoit) Poincaré’s linearization method applied to the design of nonlinear compensators. 
92k:93065 

Krivan, Viastimil Perturbation of viability problem. 92a:49005 

— Construction of population growth equations in the presence of viability constraints. 
92k:92019 

Lasiecka, Irena (with Triggiani, Roberto) * Differential and algebraic Riccati equations 
with application to boundary/point control problems: continuous theory and approxima- 
tion theory. 92k:93009 

Li, Peng (with Ahmed, N. U.) Feedback stabilization of some nonlinear stochastic systems 
on Hilbert space. 92j:93132 

Liao, Xiao Xin A new criterion for absolute stability of general Lur’e control systems. 
(Chinese) 92a:93076 

Lin, Yeong Ching see Vincent, Thomas L., (92i:93005) 

Maag, Benoit see Krener, Arthur J.; et al., 92k:93065 

Makhmudov, E. N. Sufficient conditions for optimality on a nonfixed time interval for 
differential inclusions with delay, and duality. (Russian) 92i:49041 

— A sufficient condition for optimality for convex differential inclusions with distributed 
parameters, and duality. (Russian) 92j:49021 

Mao, Xue Rong * Stability of stochastic differential equations with respect to semimartin- 
gales. 92h:60096 

Marino, Riccardo see Boothby, W. M., 92b:93060 

Martos, B. Viable control trajectories in linear systems. (Russian summary) 92i:93015 

Minchenko, L. I. A problem for the optimal control of differential inclusions. (Russian. 
English summary) 92m:49040 

Mossayebi, F. (with Hartley, Tom T.; De Abreu-Garcia, J. A.) A fundamental theorem for 
the model reduction of nonlinear systems. 92i:58109 

Papageorgiou, Nikolaos S. On the well-posedness and relaxability of nonlinear distributed 
parameter systems. (see 92f:93005) 

— Optimal control of nonlinear evolution inclusions. 92b:49012 

— On the optimal control and relaxation of finite-dimensional systems driven by maximal 
monotone differential inclusions. (Russian summary) 92i:49008 

— A minimax optimal control problem for evolution inclusions. 92k:49013 

Phelps, Andrew R. see Krener, Arthur J.; et al., 92k:93065 

Pliss, P. V. Behavior of the controllability set of the van der Pol equation with control 
during the change of parameter along a curve of discontinuities. (Russian. English 
summary) 92i:93017 

Plotnikov, A. V. (with Plotnikova, L. I.) Two problems of encounter under conditions of 
uncertainty. (Russian) 92m:49041 

Plotnikova, L.I. see Plotnikev, A. V.,92m:49041 

Polovinkin, E.S. The properties of continuity and differentiation of solution sets of 
Lipschitzean differential inclusions. 92h:34040 

Quincampoix, Marc Differential inclusions and target problems. (French summary) 
92k:49010 

Raitums, Uldis see Goebel, Manfred, 92a:49029 and (92i:93007) 

Rampazzo, Franco see Dal Maso, Gianni, 92g:49037 

Rao, Nagaraj S. (with Roxin, Emilio O.) Controlled growth of competing species. 
92b:92045 

Roxin, Emilio O. see Rao, Nagaraj S., 92b:92045 

Ryan, E. P. Finite-time stabilization of uncertain nonlinear planar systems. (see 92h:93007) 

— Finite-time stabilization of uncertain nonlinear planar systems. 92f:93104 

— A universal adaptive stabilizer for a class of nonlinear systems. 92g:93082 

— see also Corless, Martin, 92f:93057 

Savkin, A. V. Bounded solutions of a Riccati matrix differential equation. (Russian) 
92g:34015 

Sedykh, L. G. (with Garnaev, A. Yu.) Nonlinear differential equations in studying the 
dynamics of the adsorption process. (Russian) 92d:80004 

Sen, Siddhartha? (with Datta, K. B.) Singular perturbation analysis of discrete cheap 
control problems. 92m:93035 

Shcherbak, V. F. Invariant relations and the property of reversibility of control systems. 
(Russian) 92m:93027 

Shoshitaishvili, A. N. Singularities for projections of integral manifolds with applications to 
control and observation problems. 92g:93034 

— Control of the structure of nonlinear systems. (Russian) 92m:93024 





519 1992 


Sobolev, V. A. Singular perturbations in a linear-quadratic problem of optimal control. 
(Russian) 92d:49067 

Sokolov, B. N. Stabilization of holonomic control systems near the equilibrium position. 
(Russian) 92j:70032 

Spivakovskii, V.B. see Kamen’, V. B., (92m:49004) 

Su, Juhng Perng (with Hsieh, Ché Kuang) Corrigendum: “Composite feedback control for 
a class of nonlinear singularly perturbed systems with fast actuators” [Internat. J. Control 
§2 (1990), no. 3, 571-579]. 

Sumin, V.I. Sufficient stability conditions for the existence of global solutions of control- 
lable boundary value problems. (Russian) 92¢:49009 

Terreni, B. see Acquistapace, P.; et al., 92b:49038 

Tomberg, E. A. Self-induced oscillations in nonlinear systems. (Russian) 92k:34044 

Triggiani, 2oberto see Lasiecka, Irena, 92k:93009 

Trigub, M. V. Numerical solution of free boundary problem in optimal control of nonlinear 
systems. 924:49053 

Turcu, Aurel Sur les méthodes de construction des fonctions de Liapunoff. [Methods for 
constructing Lyapunov functions] 92¢:34058 

Vakhrameev, S. A. Hilbert manifolds with angles of finite codimension, and optimal control 
theory. (Russian) 92b:58057 

Vincent, Thomas L. (with Lin, Yeong Ching) Regions of attraction for two-dimensional 
uncertain dynamic systems. (see 92i:93005) 

Wang, Zhen Quan see Xu, Ke Kang; et al., 92d:93028 

Wang, Zi Cai see Yao, Yu; et al. 

Wen, John Ting-Yung Stability of a class of interconnected evolution systems. 92j:93084 

Willems, Jan C. Paradigms and puzzles in the theory of dynamical systems. 92h:93006 

Xu, Ke Kang (with Wang, Zhen Quan) D-controllability and control of multiparameter and 
multiple time-scale singularly perturbed systems. 92d:93028 

Xu, Zhong Ling see Huang, Lin; et al., 92h:34100 

Yakubovich, V. A. A linear-quadratic problem of optimization and the frequency theorem 
for periodic systems. II. (Russian) 92d:49070 

— Stability of nonlinear systems with periodically nonstationary linear part. 92k:93092 

Yao, Yu (with Wang, Zi Cai) A design of order-reduced observers for nonlinear systems. 
(Chinese. English summary) 

Zelikin, M.1. On the theory of the matrix Riccati equation. (Russian) 92g:34010 

Zhumatov, S.S. Construction of systems of equations of motion according to certain 
properties. (Russian. English and Kazakh summaries) 

Zubov, V.1. Interpolation of systems of differential equations. (Russian) 92h:34043 


34Kxx Functional-differential and differential-difference 
equations, with or without deviating arguments 


(Busenberg, Stavros N.) see Delay differential equations and dynamical systems, 92f:34057 
(Cooke, Kenneth L.) see Delay differential equations and dynamical systems, 92f:34057 
(Martelli, Mario) see Delay differential equations and dynamical systems, 92f:34057 


Items listed otherwise than by author 
Birthday: 

Cooke, Kenneth * Delay differential equations and dynamical systems. 92f:34057 
Claremont, CA * Delay differential equations and dynamical systems. 92f:34057 
Conference: 

Differential Equations and Applications to Biology and Population Dynamics * Delay 

differential equations and dynamical systems. 92f:34057 
Delay differential equations and dynamical systems * Delay differential equations and 
dynamical systems. 92f:34057 
Lecture Notes in Mathematics * Delay differential equations and dynamical systems. 
92:34057 


Items with secondary classifications in 34Kxx 
Corduneanu, C. * Integral equations and applications. 92h:45001 


34K05 General theory 


Anguraj, A. see Balachandran, Krishnan, 92j:34124 

Anokhin, A. V. (with Braverman, E. Ya.) Linear impulsive functional-differential 
equations. (Russian) 92b:34073 

Azbelev, N. V. (with Maksimov, V. P.; Rakhmatullina, L. F.) * Bsegenue 8 Teopuio 
yHKWMOHAaIbH IbHBIX ypaBHeHuA. (Russian) [Introduction to the theory of 
functional-differential equations] 92j:34123 

Bainov, Drumi D. see Khristova, S. G., 92k:34081 

Balachandran, Krishnan (with Anguraj, A.) Continuous dependence for integrodifferential 
equations with infinite delay. 92j:34124 

Braverman, E. Ya. see Anokhin, A. V., 92b:34073 

Brunner, Hermann Direct quadrature methods for nonlinear Volterra integro-differential 
equations with infinite delay. 92m:34147 

Burton, T. A. (with Feng, You He) Continuity in functional-differential equations with 
infinite delay. 92h:34126 

Capirtiski, Marek Hopf equation for some nonlinear differential delay equation and 
invariant measures for corresponding dynamical system. 92m:34148 

Donchev, Tzanko Donchev Fi iffe ial inclusion with monotone right-hand side. 
92a:34070 

Feng, You He see Burton, T. A.; et al., 92h:34126 

Finogenko, I. A. Functional-differential inclusions on closed subsets. (Russian) 92g:34085 

Gomilko, A. M. (with Radzievskii, G. V.) Basis properties of eigenfunctions of a regular 
boundary value problem for a vector functional-differential equation. (Russian) 
92£:34058 

Gyéri, Istvan On approximation of the solutions of delay differential equations by using 
piecewise constant arguments. 92g:34086 

— (with Turi, Janos) Uniform approximation of a nonlinear delay equation on infinite 
intervals. 92f:34059 











34K Functional-differential and differential-difference equations, with or without deviating arguments 


34K05 


Hale, Jack K. (with Ladeira, Luiz A.C.) Differentiability with respect to delays. 92g:34087 

Hino, Yoshiyuki (with Murakami, Satoru; Naito, Toshiki) * Functional-differential 
equations with infinite delay. 92g:34088 

Hong, Jia Lin Linearization of delay differential equations. 92i:34089 

Hu, Zuo Sheng Estimate of solutions to nonlinear integral-type difference equations. 
92h:34127 

Karelina, I. G. see Pokornyi, Yu. V., 92k:34083 and 92k:34084 

Khalilov, M.S. Differentiable dependence on the initial data of the solution of a functional- 
differential equation. (Russian) 92c:34071 

Khristova, S.G. (with Bainov, Drumi D.) Application of the monotone-iterative techniques 
of V. Lakshmikantham to the solution of the initial value problem for functional- 
differential equations. 92k:34081 

Kurbatov, V.G. * JIunettubie udepenuManbHO-pa3HocTubie ypaBHenua. (Russian) [Linear 
differential-difference equations] 92k:34082 

Ladeira, Luiz A.C. see Hale, Jack K., 92g:34087 

Luczak-Kumorek, Elzbieta The existence theorem for neutral functional-differential 
inclusions. 924:34131 

Maksimov, V. P. On the parametrization of the solution set of a functional-differential 
equation. (Russian) 92¢:34072 

— see also Azbelev, N. V.; et al., 92j:34123 

Metelskii, A. V. Pointwise completeness of functional-differential equations. (Russian) 
92h:34128 

Mironov, N. P. Estimation of the deviation of solutions of a first-order differential equation 
with delay. (Russian) (see 92d:35005) 

Murakami, Satoru see Hino, Yoshiyuki; et al., 92g:34088 

Muresan, Viorica On some classes of differential equations with deviating argument. 
92e:34081 

Naito, Toshiki see Hino, Yoshiyuki; et al., 92g:34088 

Pokornyi, Yu. V. (with Karelina, I. G.) On the Green function for the Dirichlet problem on 
agraph. (Russian) 92k:34083 

— (with Karelina, I.G.) Nonlinear comparison theorems on graphs. (Russian) 92k:34084 

Radzievskii, G. V. Properties of solutions of linear functional-differential equations that 
depend on a parameter. (Russian. Ukrainian summary) 92m:34149 

— see also Gomilko, A. M., 92£:34058 

Rakhmatullina, L. F. see Azbelev, N. V.; et al., 92j:34123 

Sedletskii, A.M. Backward continuation of solutions of a homogeneous convolution 
equation of retarded type. (Russian) 92¢:34082 

Turi, Janos see Gyéri, Istvan, 92f:34059 


Items with secondary classifications in 34K05 


Akhmerov, R. R. (with Kamenskii, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskii, B. N.) 
* Measures of noncompactness and condensing operators. 92k:47104 

Aliev, R.G. Normal solvability of a functional-differential equation with operator 
coefficients in a Hilbert space. (Russian) 92m:34181 

Anguraj, A. see Balachandran, Krishnan 

de Avellar, C. E. (with Marconato, S. A. S.) Difference equations with delays depending on 
time. 92m:39003 

Azbelev, N. V. (with Domoshnitskii, A. I.) On the question of linear differential inequali- 
ties. II. (Russian) 92h:34129 

Bainov, Drumi D. see Khristova, S. G., 92a:65209 

Balachandran, Krishnan An existence theorem for nonlinear integro-differential equation 
with infinite delay. 92m:45006 

— (with Anguraj, A.) Existence and uniqueness of the solution of a nonlinear integro- 
differential equation. 

Baouche, Amar On the existence of solutions of a Nicoletti problem for an integro- 
differential equation with advanced argument. 92f:45010 

Beklaryan, L. A. * JluddbepenunanbHoe ypaBHeHHe C OTKJIOHAIONIMMCA apryMeHTOM Kak 
6eckoneyHOMepHasd AMHaMH4ecKas cuctema. (Russian) [A differential equation with 
deviating argument as an infinite-dimensional dynamical system] 92c:58129 

Chistyakov, Aleksandr Vladimirovich Properties of a class of noncompact operators. 
(Russian) 92:47026 

Corduneanu, C. Abstract Volterra equations and weak topologies. 92k:47121 

Dauylbaev, M. K. (with Kasymov, K. A.) Singularly perturbed integro-differential 
equations with singularities. (Russian. Kazakh summary) 92h:45015 

Desch, Wolfgang (with Schappacher, W.; Zhang, Kang Pei) Semilinear evolution equations. 
92d:47087 

Didenko, V. D. see Vitrichenko, E. E., (92:00016) 

Domoshnitskii, A. I. see Azbelev, N. V., 92h:34129 

Drekova, G. V. see Vitrichenko, E. E. 

Erbe, Lynn H. (with Liu, Xinzhi) Monotone iterative methods for differential systems with 
finite delay. 92¢:65097 

Furumochi, Tetsuo (with Hayashi, Akifumi) Stability and oscillation in delay differential 
equations with piecewise constant arguments. 92¢:34092 

Greiner, Giinther (with Schwarz, Manfred) Weak spectral mapping theorems for 
functional-differential equations. 92k:47079 

Hale, Jack K. (with Verduyn Lunel, S. M.) Averaging in infinite dimensions. 92d:34128 

Hara, Tadayuki (with Yoneyama, Toshiaki; Miyazaki, R.) Volterra integro-differential 
inequality and asymptotic criteria. 92m:34174 

Hayashi, Akifumi see Furumochi, Tetsuo, 92e:34092 

Hu, Zuo Sheng Boundedness of solutions to functional integro-differential equations. 
92e:34097 

Huang, Fa Lun see Liang, Jin; et al., 92e:47108 

(Iacob, A.) see Akhmerov, R. R.; et al., 92k:47104 

Jédar, Lucas Explicit closed-form solution of coupled systems of Volterra integrodifferential 
systems. 92j:45003 

Kamenskii, M. I. see Akhmerov, R. R.; et al., 92k:47104 

Kasymov, K. A. see Dauylbaev, M. K., 92h:45015 

Khristova, S.G. (with Bainov, Drumi D.) Application of the monotone-iterative techniques 
of Lakshmikantham to the solution of the initial value problem for functional-differential 
equations. 92a:65209 





34K05 


Li, Shou Fu (with Yi, Meng Hong) (A, B, D)-methods for Volterra functional-differential 
equations. (Chinese. English summary) 92m:65166 

Liang, Jin (with Huang, Fa Lun) Horn-type theorem in Fréchet spaces and application. 
92e:47108 

Lin, Yi Zhong Bounded generalized solutions to differential equations with advanced 
variables. (Chinese. English summary) 92e:34100 

Liu, Xinzhi see Erbe, Lynn H.; et al., 92¢:65097 

Marconato, S. A. S. see de Avellar, C. E., 92m:39003 

Miyazaki, R. see Hara, Tadayuki; et al., 92m:34174 

Papageorgiou, Nikolaos S. Nonlinear Volterra integrodifferential evolution inclusions and 
optimal control. 92k:49009 

Pelyukh, G. P. see Samoilenko, A. M., 92c:34093 

Potapov, A.S. see Akhmerov, R. R.; et al., 92k:47104 

Rapp, Piotr Point initial value problem for linear functional-differential equations in 
Banach spaces. 92i:34109 

Rodkina, A. E. see Akhmerov, R. R.; et al., 92k:47104 

Sadovskii, B. N. see Akhmerov, R. R.; et al., 92k:47104 

Samoilenko, A.M. (with Pelyukh, G. P.) Existence and uniqueness of solutions, bounded 


on the entire axis, of systems of nonlinear differential-difference equations of neutral type. 


(Russian. Ukrainian summary) 92¢:34093 

Schappacher, W. see Desch, Wolfgang; et al., 92d:47087 

Schwarz, Manfred see Greiner, Giinther, 92k:47079 

Staffans, Olof J. Stable and unstable subspaces of a critical functional-differential equation. 
92b:34098 

Takano, Katsuo On the positive and integrable solution of the delay differential equations. 
924:34143 

Verduyn Lunel, S.M. The closure of the generalised eigenspace of a class of infinitesimal 
generators. 92c:47048 

— see also Hale, Jack K., 924:34128 

Vitrichenko, E. E. (with Didenko, V.D.) The collocation method for the approximate 
solution of a singular integro-differential equation. (Russian) (see 92f:00016) 

— (with Drekova, G. V.) Some projection methods for solving singular integro-differential 
equations in the exceptional case. (Russian) 

Yi, Meng Hong see Li, Shou Fu; et al., 92m:65166 

Yoneyama, Toshiaki see Hara, Tadayuki; et al., 92m:34174 

Zhang, Kang Pei see Desch, Wolfgang; et al., 92d:47087 


34K10 Boundary value problems 


Agarwal, Ravi P. Existence-uniqueness and iterative methods for right focal point boundary 
value problems for differential equations with deviating arguments. 92b:34074 

Azbelev, N. V. (with Domoshnitskii, A. I.) On the question of linear differential inequali- 
ties. II. (Russian) 92h:34129 

Beklaryan, L. A. A method for the regularization of boundary value problems for differen- 
tial equations with deviating argument. (Russian) 92i:34090 

Boichuk, A. A. (with Chuiko, S.M.) Periodic solutions of nonlinear autonomous systems 
with delay in critical cases. (Russian. English summary) 92k:34085 

Brykalov, S. A. Solvability of a nonlinear boundary value problem in a fixed set of 
functions. (Russian) 92m:34150 

Chuiko, S. M. see Boichuk, A. A., 92k:34085 

Domoshnitskii, A. I. see Azbelev, N. V., 92h:34129 

Gomilko, A. M. (with Radzievskii, G. V.) Equivalence in L,[0, 1] of the system e!2*** 
(k = 0,+1,---) and the system of eigenfunctions of an ordinary functional-differentiai 
operator. (Russian) 92m:34151 

Guo, Da Jun Nonnegative solutions of two-point boundary value problems for nonlinear 
second order integrodifferential equations in Banach spaces. 92b:34075 

Huang, Qing Guang Limit boundary value problems for first-order delay differential 
equations. 92g:34089 

Lange, Charles G. (with Miura, Robert M.) Singular perturbation analysis of boundary 
value problems for differential-difference equations. IV. A nonlinear example with layer 
behavior. 92c:34073 

Li, Tie Cheng On periodic solution of forced second order vector delay-differential 
equation. 92b:34076 

Maksimov, V. P. On the study of the solvability of nonlinear boundary value problems by 
constructive methods. (Russian) 92g:34090 

Miao, Shu Mei Asymptotic estimation of solutions to singularly perturbed boundary value 
problems for nonlinear differential-difference equations. (Chinese. English summary) 
92e:34083 

Miura, Robert M. see Lange, Charles G., 92¢:34073 

Ntouyas, S. K. (with Tsamatos, P. Ch.) Existence of solutions of boundary value problems 
for functional-differential equations. 92g:34091 

Precup, Radu Topological transversality and boundary problems for second-order 
functional-differential equations. (see 92m:49004) 

Qian, Chuan Xi see Zhang, Feng Qin; et al., 92c:34074 

Radzievskii, G. V. see Gomilko, A. M., 92m:34151 

Shteingol‘d, S. D. Smoothness of generalized solutions of boundary value problems for 
functional-differential equations. (Russian) 92k:34086 

Stanék, Svatoslav Three-point boundary value problem of ded functional-differential 
equation of the second order with parameter. (Russian and Czech summaries) 92k:34087 

Sumin, V.I. Volterra functional-operator equations in a problem on the stability of the 
existence of global solutions of boundary value problems. (Russian) 92j:34125 

Tsamatos, P. Ch. see Ntouyas, S. K., 92g:34091 

Tskhadaya, O. T. Multipoint boundary value problems for higher-order functional- 
differential equations. (Russian. English and Georgian summaries) 92:34060 

Vernole, Paola A nonhomogeneous Dirichlet problem for a delay differential equation. (see 
92m:47001) 

Yan, Ju Rang see Zhang, Feng Qin; et al., 92c:34074 

Zhang, Feng Qin (with Yan, Ju Rang; Qian, Chuan Xi) Limit boundary value problems 
of first order equations with piecewise constant arguments. (Serbo-Croatian summary) 
92¢:34074 





ORDINARY DIFFERENTIAL EQUATIONS 


Items with secondary classifications in 34K10 


Bliev, E. N. Estimates for the solutions of boundary value problems with an initial jump 
of zero order for third-order linear integro-differential equations. (Russian. English and 
Kazakh summaries) 92k:45016 

Brykalov, S. A. Existence and nonuniqueness of solutions of some nonlinear boundary value 
problems. (Russian) 92b:34033 

Cahlon, Baruch (with Nachman, Louis J.) Numerical methods for discontinuous linear 
boundary value probl with deviation arguments. 92f:65086 

Ehme, Jeffrey (with Hankerson, Darrel) Existence of solutions for right focal boundary 
value problems. 92j:34036 

Erbe, Lynn H. (with Krawcewicz, W.) Boundary value probl 
92¢:34015 

Gomilko, A. M. (with Radzievskii, G. V.) Equiconvergence of series in eigenfunctions of 
ordinary functional-differential operators. (Russian) 92f:47054 

Hankerson, Darrel see Ehme, Jeffrey, 92j:34036 

Jankowski, Tadeusz Numerical solution of two-point boundary value problems for retarded 
differential equations. (Russian summary) 92i:65127 

Karelina, I.G. see Pokornyi, Yu. V., 92k:34083 

Kashchenko, S. A. Spatially heterogeneous structures in the simplest models with delay and 
diffusion. (Russian. English summary) 92j:92015 

Kasymov, K. A. Estimates for solutions of boundary value p for a singularly 
perturbed linear integro-differential equation. (Russian. English and Kazakh summaries) 
92k:45019 

Kesel/man, G. M. Regularized traces of a second-order functional-differential operator. 
(Russian) 92b:47078 

Krawcewicz, W. see Erbe, Lynn H., 92c:34015 

Maksimov, V. P. On the parametrization of the solution set of a functional-differential 
equation. (Russian) 92c:34072 

Muresan, Viorica On some classes of differential equations with deviating argument. 
92e:34081 

Nachman, Louis J. see Cahlon, Baruch, 92f:65086 

Ntouyas, S. K. see Tsamatos, P. Ch., 92k:26038 

Pokornyi, Yu. V. (with Karelina, I.G.) On the Green function for the Dirichlet problem on 
agraph. (Russian) 92k:34083 

Ponomarev, V. D. Existence of a solution to a system of two operator equations. (Russian. 
English and Latvian summaries) 92i:47080 

Radzievskii, G. V. see Gomilko, A. M., 92f:47054 

Tsamatos, P. Ch. (with Ntouyas, S. K.) On a Bellman-Bihari type integral inequality with 
delay. 92k:26038 

Vlasov, V. V. On the solvability of a class of functional-differential equations on the semi- 
axis and some spectral problems. (Russian) 92m:47156 

Yu, Hong Yi PBVP for integro-differential equations of Volterra type in B.S. 92j:45004 





for diffe ial inclusions. 








34K15 Qualitative theory 


Angelova, D. Ts. (with Bainov, Drumi D.) Nonoscillatory solutions of second order forced 
functional-differential equations. 92k:34088 

Arino, Ovide (with Niri, Khadija) Oscillations in vector spaces: a comparison result for 
monotone delay differential systems. 92h:34130 

Bainov, Drumi D. (with Myshkis, A. D.; Zakhariev, Andrei) Necessary and sufficient 
conditions for oscillation of the solutions of linear functional-differential equations of 
neutral type with distributed delay. 92e:34084 

— (with Petrov, V. V.) Oscillation and asymptotic behaviour of neutral equations with 
distributed delay. 

— (with Myshkis, A. D.; Zakhariev, Andrei) On the oscillatory properties of the solutions of 
a class of integro-differential equations of neutral type. 92j:34126 

— see also Khristova, S. G., 92c:34080 and Angelova, D. Ts., 92k:34088 

Bao, Jun Dong Oscillation of solutions to second-order linear differential-difference 
equations of neutral type. (Chinese. English summary) 

Belyustina, L. N. (with Kinyapina, M. S.; Fish , L. Z.) The dynamics of a phase 
synchronization system with delay. (Russian) 92i:34091 

Bilchev, Svetoslav I. (with Grammatikopoulos, Myron K.; Stavroulakis, I. P.) Oscillations 
of higher order neutral differential equations. 92k:34089 

Burton, T. A. Uniform boundedness for delay equations. 92g:34092 

— (with Zhang, Bo') Periodic solutions of abstract differential equations with infinite delay. 
92e:34085 

Capietto, Anna (with Mawhin, Jean L.; Zanolin, Fabio) The coincidence degree of some 
functional-differential operators in spaces of periodic functions and related continuation 
theorems. 92h:34131 

Chang, K. W. (with Gao, Rui Jia) Perturbations of nonlinear functional equations of 
neutral type. 924:34132 

Chen, Bo Shan The asymptotic behavior of some differential equations with unbounded 
delay. (Chinese) 92¢:34086 

Chen, Shao Zhu (with Huang, Qing Guang) Necessary and sufficient conditions for the 
oscillations of solutions to systems of neutral functional-differential equations. 92e:34087 

— (with Huang, Qing Guang; Erbe, Lynn H.) Bounded and zero-convergent solutions of a 
class of Stieltjes integro-differential equations. 92¢:34075 

— see also Huang, Qing Guang, 92a:34073 

Chen, Yong Shao Existence of oscillatory solution of second order functional-differential 
equations. 92¢:34088 

— The existence of periodic solutions of the equation x’(t) = —f (x(t), x(t — t)). 92m:34152 

Chen, Zheng Yi (with Yu, Jian She) Oscillation of solutions and asymptotic behavior of 
nonoscillatory solutions to second-order equations of neutral type. (Chinese. English 
summary) 92h:34132 

Cheng, Yuan Ji Oscillation criteria for higher-order functional-differential equation of 
mixed type. 92¢e:34089 

— Oscillation criteria for first order differential equations with deviating arguments. 
92¢:34076 

Cherevko, I. M. see Fodchuk, V. I., 92k:34091 








521 1992 


Cooke, Kenneth L. (with Wiener, Joseph) A survey of differential equations with piecewise 
continuous arguments. 92h:34133 

Corduneanu, C. Some results on the ultimate behavior of solutions of Volterra functional- 
differential equations. 924:34133 

Csaté, S. On the structure of the solutions of an autonomous differential-delay system by the 
method of characteristic equation. 92e:34090 

Cui, Bao Tong Oscillation criteria for nth order delay differential equations. 92b:34077 

— Oscillation criteria for nth order delay differential equations. 92i:34092 

Dahiya, R.S. see Tantawy, A. S., 92a:34081 

Derfel’,G. A. Kato problem for functional-differential equations and difference Schrodinger 
operators. 92g:34093 

Dolgii, Yu. F. (with Plastinin, N. V.) Asymptotics of the eigenvalues of the monodromy 
operator for periodic systems of differential equations with deviating argument of neutral 
type. (Russian) 92i:34093 

Du, Michael S. (with Kwong, Man Kam) Sturm comparison theorems for second-order 
delay equations. 92e:34091 

Erbe, Lynn H. see Chen, Shao Zhu; et al., 92c:34075 

Farkas, M. (with Stépan, G.) On perturbation of the kernel in infinite delay systems. 
92m:34153 

Feldstein, Alan see Kuang, Yang, 92c:34081 

Feng, Yue Cai Oscillation of a class of second-order linear functional-differential equations. 
(Chinese. English summary) 

— Oscillation of second-order nonlinear functional-differential equations of neutral type. 
(Chinese. English summary) 

— Oscillation of second order nonlinear neutral functional-differential equation. 92h:34134 

— Oscillatory behavior for certain class of second order nonlinear neutral functional- 
differential equations with forcing term. 92k:34090 

Fishman, L. Z. see Belyustina, L. N.; et al., 92i:34091 

Fodchuk, V. 1. (with Cherevko, I. M.) Integral manifolds of linear singularly perturbed 
functional-differential equations. (Russian) 92k:34091 

Franke, Jeffery M. (with Stech, Harlan W.) Extensions of an algorithm for the analysis of 
nongeneric Hopf bifurcations, with applications to delay-difference equations. 92k:34092 

Fu, Xi Lin Asymptotic behavior of solutions to second-order neutral functional-differential 
equations. (Chinese. English summary) 92m:34154 

— see also Yu, Yuan Hong, 92i:34098 

Furumochi, Tetsuo (with Hayashi, Akifumi) Stability and oscillation in delay differential 
equations with piecewise constant arguments. 92¢:34092 

Futdk, Jan On the asymptotic behaviour of solutions of functional-differential equations 
with deviating argument. (Russian and Slovak summaries) 92k:34093 

Gao, Guo Zhu Oscillations of neutral differential difference equations. 92c:34077 

Gao, Rui Jia see Chang, K. W., 92d:34132 

Georgiou, D. A. (with Ladas, G.; Schultz, S. W.) Oscillations of neutral equations with 
variable coefficients. 92f:34061 

— (with Qian, Chuan Xi) Oscillation criteria in neutral equations of n order with variable 
coefficients. 92d:34134 

Gopalsamy, Kondalsamy (with Ladas,G.) On the oscillation and asymptotic behavior of 
N(t) = N(t)[a + bN(t — t) — cN2(t — 1)]. 926:34062 

— (with He, Xue Zhong; Wen, Li Zhi) On a periodic neutral logistic equation. 92j:34127 

— (with Lalli, Bikkar S.) Necessary and sufficient conditions for “zero crossing” in 
integrodifferential equations. 92b:34078 

— see also Zhang, Bing Gen, 92k:34100 

Grace, S. R. Oscillatory properties of functional-differential equations. 92i:34094 

— Oscillatory and asymptotic behavior of certain functional-differential equations. 
92m:34155 

— On the oscillatory and asymptotic behavior of damped functional-differential equations. 
92a:34071 

— Oscillation of even order nonlinear functional-differential equations with deviating 
arguments. 92b:34079 

— see also Lalli, Bikkar S., 92b:34084 

Graef, John R. (with Spikes, Paul W.; Grammatikopoulos, Myron K.) On the behavior of 
solutions of a first order nonlinear neutral delay differential equation. 92a:34072 

— (with Grammatikopoulos, Myron K.; Spikes, Paul W.) Asymptotic and oscillatory 
behavior of solutions of first order nonlinear neutral delay differential equations. 
92e:34093 

— (with Grammatikopoulos, Myron K.; Spikes, Paul W.) On the asymptotic behavior of 
solutions of a second order nonlinear neutral delay differential equation. 92e:34094 

Grammatikopoulos, Myron K. see Graef, John R.; et al., 92a:34072; 92¢:34093; 92e:34094 
and Bilchev, Svetoslav I.; et al., 92k:34089 

Grigor’eva, E. V. (with Kashchenko, S. A.) Relaxation oscillations in a system of equations 
describing the operation of a solid-state laser with a nonlinear element of delaying action. 
(Russian) 92h:34135 

Grove, E. A. (with Kulenovi¢, M. R. S.; Ladas, G.) A Myskis-type comparison result for 
neutral equations. 92e:34095 

Guan, Zhi Hong Oscillatory comparison theorems for solutions to nonlinear vector 
functional-differential equations. (Chinese. English summary) 92j:34128 

Hale, Jack K. Dynamics and delays. 92m:34156 

Hamedani, G. G. (with Krenz, Gary S.) Oscillation properties of certain nth order 
functional-differential equations. 92¢:34096 

Hatvani, Lészi6 On the existence of periodic solutions to functional-differential equations. 
92j:34129 

Hayashi, Akifumi see Furumochi, Tetsuo, 92e:34092 

He, Xue Zhong Oscillatory and asymptotic properties of first-order neutral delay differential 
equations with nonpositive coefficients. (Chinese. English summary) 92j:34130 

— see also Gopalsamy, Kondalsamy; et al., 92j:34127 

Hering, Roger H. Boundedness and periodic solutions in infinite delay systems. 92m:34157 

Hu, Jian Yong Stability and boundedness of a class of retarded functional-differential 
equations. 92f:34063 

Hu, Shi Geng Type K monotone semiflows generated by a class of functional-differential 
equations. (Chinese) 92i:34095 

— The oscillatory behavior of solutions of a class of functional-differential equations. 


34K Functional-differential and differential-difference equations, with or without deviating arguments 


34K15 


(Chinese. English summary) 924:34135 

— The global asymptotic behavior of a class of functional-differential equations. (Chinese. 
English summary) 92j:34131 

Hu, Zuo Sheng Boundedness of solutions to functional integro-differential equations. 
92e:34097 

Huang, Qing Guang (with Chen, Shao Zhu) Oscillation of neutral differential equations 
with periodic coefficients. 92a:34073 

— see also Chen, Shao Zhu; et al., 92c:34075 and 92e:34087 

Ivanov, Anatolii Fiedorovich On a singular perturbed differential delay equation. 924:34136 

Jaro’, Jaroslav Necessary and sufficient conditions for oscillations of first order delay 
differential equations and inequalities. (Russian and Slovak summaries) 92a:34074 

— An application of change of independent variable in the oscillation theory of differential 
equations with unbounded delays. (Russian and Slovak summaries) 92h:34136 

— On characterization of oscillations in first-order linear neutral differential equations. 
92h:34137 

— An oscillation test for a class of linear neutral differential equations. 92h:34138 

Jian, Chao On the oscillation of linear differential equations with deviating arguments. 
(Chinese) 92¢:34079 

Jiang, Zhi Min' On comparison theorems for oscillation of Volterra-Stieltjes integro- 
differential equations. 92b:34080 

Kashchenko, S. A. Application of the large parameter method for studying the dynamics of 
a system of two coupled autogenerators with delay. (Russian) 92b:34081 

— see also Grigor'eva, E. V., 92h:34135 

Khatskevich, V. L. Bounded solutions of monotone systems with delay. (Russian) 
924:34137 

Khristova, S.G. (with Bainov, Drumi D.) The method of the small parameter in the theory 
of differential-difference equations with impulse effect. 92c:34080 

Kinyapina, M.S. see Belyustina, L. N.; et al., 92i:34091 

Klaczak, Jerzy Kneser oscillation th for diffe 
argument. 92m:34158 

Knyazhishche, L. B. Localization of a part of the limit set for delay equations. 92f:34064 

Koplatadze, R.G. Monotone and oscillating solutions of nth-order differential equations 
with retarded argument. (Russian. English summary) 92h:34139 

— Specific properties of solutions of differential equations with deviating argument. 
(Russian. Ukrainian summary) 92g:34094 

Krenz, Gary S. see Hamedani, G. G., 92¢:34096 

Kuang, Yang (with Feldstein, Alan) Boundedness of solutions of a nonlinear nonau- 
tonomous neutral delay equation. 92c:34081 

— (with Zhang, Bing Gen; Zhao, Tao) Qualitative analysis of a nonautonomous nonlinear 
delay differential equation. 92m:34159 

— Qualitative analysis of one- or two-species neutral delay population models. 92m:34160 

Kulenovi¢, M. R.S. (with Ladas, G.; Sficas, Y.G.) Comparison results for oscillations of 
delay equations. 92a:34075 

— see also Grove, E. A.; et al., 92e:34095 

Kwong, Man Kam Oscillation of first-order delay equations. 92b:34082 

— see also Du, Michael S., 92e:34091 

Ladas, G. (with Qian, Chuan Xi) Oscillation in differential equations with positive and 
negative coefficients. 92b:34083 

— (with Philos, Ch. G.; Sficas, Y. G.) Oscillations of integro-differential equations. 
92g:34095 

— (with Qian, Chuan Xi) Linearized oscillations for even-order neutral differential 
equations. 92g:34096 

— (with Qian, Chuan Xi; Yan, Ju Rang) Oscillations of higher order neutral differential 
equations. 92k:34094 

— (with Qian, Chuan Xi; Yan, Ju Rang) A comparison result for the oscillation of delay 
differential equations. 

— see also Kulenovié, M. R. S.; et al., 92a:34075; Qian, Chuan Xi, 92d:34141; Grove, E. A.; et 
al., 92e:34095; Georgiou, D. A.; et al., 92f:34061 and Gopalsamy, Kondalsamy, 92f:34062 

Laederich, Stephane Periodic solutions of nonlinear differential-difference equations. 
92¢:34098 

Lalli, Bikkar S. (with Zhang, Bing Gen) Oscillation of first order neutral differential 
equations. 92a:34076 

— (with Grace, S. R.) Asymptotic and oscillatory behavior of a class of second order 
functional-differential equations. 92b:34084 

— see also Gopalsamy, Kondalsamy, 92b:34078 

Li, Bing Tuan An estimate for the distance between adjacent zeros of solutions to first-order 
differential equations with delays. (Chinese. English summary) 92b:34085 

Li, Guang Hua’ Existence criteria for nonoscillating solutions to a certain class of neutral 
equations. (Chinese. English summary) 92d:34138 

— Existence criteria for nonoscillation solutions to varying deviating neutral equations. 
(Chinese. English summary) 92m:34161 

— Oscillation and asymptotic behavior of nonlinear functional-differential equations. 
(Chinese. English summary) 92k:34095 

Li, Li Ming Stationary oscillation for higher-dimensional functional-differential systems. 
(Chinese) 92¢:34099 

Lin, Li Cong (with Wang, Gen Qiang) A class of nonlinear differential inequalities with 
time delay arguments. 92g:34098 

— (with Wang, Gen Qiang) Oscillatory and asymptotic behaviour of first order nonlinear 
differential equations with retarded argument [/]. 

Lin, Yi Zhong Bounded generalized solutions to differential equations with advanced 
variables. (Chinese. English summary) 92e:34100 

— The equivalence problem for the existence of bounded solutions to systems of ordinary 
differential equations and to systems of differential-difference equations of advanced type. 
(Chinese. English summary) 92e:34101 

Liu, Bi Yu A criterion for oscillation of first-order integro-differential equations. (Chinese. 
English summary) 

Liu, Shun Bao Oscillation of solutions to a class of second-order time-delay differential 
equations. (Chinese. English summary) 92m:34162 

Lu, Wu Du Necessary and sufficient condition for oscillations of neutral differential 
equations. 92¢:34078 





ial equations with piecewise constant 





34K15 


— Oscillations of high order neutral differential equations with oscillatory coefficient. 
92d:34139 

— Oscillation of solutions to second-order differential equations of advanced type. (Chinese) 
92m:34163 

Matraimov, M. T. Existence of bounded solutions of differential equations with reflection of 
the argument. (Russian) 92b:34089b 

— see also Ved', Yu. A., 92b:34089a 

Mawhin, Jean L. see Capietto, Anna; et al., 92h:34131 

Meng, Fan Wei On oscillation of solution of nth-order forced functional-differential 
equations. 92c¢:34082 

Mihalikova, Bozena On the oscillation of a class of nonlinear differential systems with 
deviating arguments. (Russian summary) 92k:34096 

Mitropol’skii, Yu. A. (with Nguyen Dong Anh; Nguyen Tien Khiem) Oscillations in first- 
order systems with delay. (Russian. Ukrainian summary) 92j:34132 

Mustafoev, Kh. Z. see Samoilenko, A. M., 92g:34099 

Myshkis, A. D. see Bainov, Drumi D.; et al., 92¢:34084 and 92j:34126 

Nadareishvili, V. A. Oscillation of solutions of higher-order linear differential equations 
with deviating arguments. (Russian. English and Georgian summaries) 924:34140 

Nasr, A. H. Asymptotic behaviour and oscillation of classes of integrodifferential equations. 
92k:34097 

Nguyen Dong Anh see Mitropol’skii, Yu. A.; et al., 92j:34132 

Nguyen Tien Khiem see Mitropol’skii, Yu. A.; et al., 92j:34132 

Niri, Khadija see Arino, Ovide, 92h:34130 

Paatashvili, D. V. Existence of unbounded solutions of second-order linear differential 
equations with retarded arguments. (Russian. English and Georgian summaries) 
92¢:34083 

Pan, Jia Qi (with Yue, Xi Ting) A Hopf bifurcation formula for the Liénard equation with 
finite delay. (Chinese) 92b:34086 

Parhi, N. Oscillatory behaviour of solutions of first-order ordinary and delay differential 
equations. 92a:34077 

Petrov, V. V. see Bainov, Drumi D. 

Philos, Ch. G. (with Sficas, Y.G.) On the nature of the nonoscillatory solutions of a class of 
neutral delay differential equations. 92a:34078 

— Oscillations of first order linear retarded differential equations. 92f:34065 

— Oscillations of some delay differential equations with periodic coefficients. 92k:34098 

— see also Ladas, G.; et al., 92g:34095 

Plastinin, N. V. see Dolgii, Yu. F., 92i:34093 

Qian, Chuan Xi (with Ladas, G.) Oscillations of higher order neutral differential equations 
with variable coefficients. 92d:34141 

— see also Ladas, G., 92b:34083; Georgiou, D. A., 92d:34134; Ladas, G., 92g:34096; 
92g:34097 and 92k:34094 

Qian, Xiang Zheng Necessary and sufficient conditions for oscillations in a class of neutral 
differential equations. (Chinese. English summary) 92b:34087 

— (with Yu, Jian She) Oscillation criteria for solutions to nonlinear neutral differential 
equations of second order. (Chinese. English summary) 92m:34164 

— see also Wang, Zhi Cheng!; et al. 

Ruan, Shi Gui Oscillations for first order neutral differential equations with variable 
coefficients. 92a:34079 

— Oscillations of nth-order functional-differential equations. 92b:34088 

Samoilenko, A. M. (with Mustafoev, Kh. Z.) On the averaging principle for a class of 
systems of differential equations with deviating argument. (Russian) 92g:34099 

Saribaév, M. An error estimate for the method of averaging two-frequency systems. 
(Russian) 92g:34100 

— (with Shpakovich, V. P.) A single-frequency method for the asymptotic integration of 
systems with delay. (Russian) 92f:34066 

Schultz, S. W. see Georgiou, D. A.; et al., 92f:34061 

Serra, Enrico Periodic solutions for some nonlinear differential equations of neutral type. 
92m:34165 

Sficas, Y.G. see Kulenovié, M. R. S.; et al., 92a:34075; Philos, Ch. G., 92a:34078 and Ladas, 
G,; et al., 92g:34095 

Shi, Lei Boundness and periodicity of solutions of neutral functional-differential equations 
with infinite delay. 

Shpakovich, V. P. see Saribaév, M., 92£:34066 

Sibgatullin, G. Kh. Comparison and estimation of solutions of a second-order differential 
equation with delay. (Russian) (see 92f:35003) 

Song, Kai Tai see Zhou, Li; et al., 92i:34099 

Spanikova, Eva Oscillatory properties of the solutions of three-dimensional nonlinear 
differential systems with deviating arguments. (Russian and Slovak summaries) 
92a:34080 

Spikes, Paul W. see Graef, John R.; et al., 92a:34072; 92e:34093 and 92¢:34094 

Stavroulakis, I. P. see Bilchev, Svetoslav I.; et al., 92k:34089 

Stech, Harlan W. Generic Hopf bifurcation in a class of integro-differential equations. 
92d:34142 

— see also Franke, Jeffery M., 92k:34092 

Stépan, G. see Farkas, M., 92m:34153 

Takano, Katsuo On the positive and integrable solution of the delay differential equations. 
92d:34143 

— On positive and integrable solution of first order delay differentiable equation with 
measurable coefficients. 92f:34067 

Tang, De Quan Oscillation of second-order nonlinear functional-differential equations. 
(Chinese. English summary) 

— see also Tang, Mu Zhong; et al. 

Tang, Mu Zhong (with Tang, De Quan) Asymptotic properties of solutions to a class of 
second-order differential equations with time delay. (Chinese. English summary) 

— Oscillatory property of solutions for second order functional-differential equation to be 
changed into an “integrally small” coefficient. 92m:34166 

Tantawy, A.S. (with Dahiya, R.S.) Oscillation of even order neutral delay differential 
equations. 92a:34081 

Ved’, Yu. A. (with Matraimov, M. T.) Problems of well-posedness, boundedness and 
stabilization of solutions of the Cauchy problem for differential equations with reflection 


ORDINARY DIFFERENTIAL EQUATIONS 


of the argument. (Russian) 92b:34089a 

Walther, Hans-Otto Bifurcation from a saddle connection in functional-differential 
equations: an approach with inclination lemmas. 92¢:34084 

Wang, Gen Qiang see Lin, Li Cong; et al., 92g:34098 

Wang, Kai Xun Oscillation of a class of odd-order nonlinear neutral equations. (Chinese. 
English summary) 92m:34167 

— Oscillation and asymptotic behavior of solutions of mth order nonlinear neutral 
differential equations. 92f:34068 

— Oscillation of a class of nonlinear neutral differential equations of higher order. (Chinese) 
92¢e:34102 

Wang, Ke! On the existence and uniqueness of periodic solutions of Volterra integral 
differential equations. 92¢:34103 

Wang, Lian Wen Classification of nonoscillatory solutions to neutral functional-differential 
equations of higher order. (Chinese) 92i:34096 

Wang, Zhi Cheng! (with Qian, Xiang Zheng) Some oscillation problems for delay 
differential equations. (Chinese) 

— A necessary and sufficient condition for the oscillation of higher-order neutral equations 
with several delays. 92h:34140 

Wen, Li Zhi see Gopalsamy, Kondalsamy; et al., 92j:34127 

Weng, Pei Xuan The oscillation and asymptotic behavior of solutions to second-order 
nonlinear functional-differential equations of neutral type. (Chinese. English summary) 
92m:34168 

— Oscillations of solutions of first-order neutral differential difference equations. 92f:34069 

— Oscillation of second order neutral nonlinear functional-differential equation. 92m:34169 

Wiener, Joseph see Cooke, Kenneth L., 92h:34133 

Wéjtowicz, Bogdan Periodic solutions of integro-differential equations that contain an 
integral-power series. (Russian) 92k:34099 

Wa, Jian Hong Uniform behaviors of solutions of neutral equations with infinite delay. II. 
924:34144 

— Strong monotonicity principles and applications to Volterra integrodifferential equations. 
92e:34104 

— Unified treatment of local theory of NFDES with infinite delay. 92h:34141 

Wa, Jiong Yu Oscillation and nonoscillation of functional-differential equations of second 
order. (Chinese) 92h:34142 

Wa, Xiang Bao Oscillation and asymptotic behavior of solutions to neutral differential- 
difference equations. (Chinese) 92¢:34085 

Wu, Yong Tang see Zhu, Si Ming; et al., 92a:34083 

Xie, Xiang Sheng Oscillation theorems for nth order nonlinear functional-differential 
equations. (Chinese. English summary) 92g:34101 

Xu, Yuan Tong Necessary and sufficient conditions for oscillation of singular neutral 
functional-differential equations of higher order. (Chinese) 92i:34097 

Yan, Ju Rang Comparison theorems for differential equations of mixed type. 92m:34170 

— Comparison theorems and applications of oscillation of neutral differential equations. 
92:34070 

— see also Ladas, G.; et al., 92g:34097 and 92k:34094 

Yu, Jian She Oscillatory behavior of first order delay differential equations with oscillating 
coefficients. 924:34145 

— Neutral time-delay differential equations with positive and negative coefficients. (Chinese) 
92m:34171 

— The oscillation of solutions to time-delay differential equations of neutral type. (Chinese. 
English summary) 92h:34143 

— see also Chen, Zheng Yi; et al., 92h:34132 and Qian, Xiang Zheng; et al., 92m:34164 

Yu, Yuan Hong (with Fu, Xi Lin) Oscillation and asymptotic behavior of certain second 
order neutral differential equations. (Serbo-Croatian summary) 92i:34098 

Yuan, Rong Existence of almost periodic solution of functional-differential equations. 
92h:34144 

Yue, Xi Ting see Pan, Jia Qi; et al., 92b:34086 

Zakhariev, Andrei see Bainov, Drumi D.; et al., 92e:34084 and 92}:34126 

Zanolin, Fabio see Capietto, Anna; et al., 92h:34131 

Zhang, Bing Gen The Riccati method for oscillation equations of neutral type. (Chinese) 
92m:34172 

— (with Gopalsamy, Kondalsamy) Oscillation and nonoscillation in higher order neutral 
equations. 92k:34100 

— see also Lalli, Bikkar S., 92a:34076 and Kuang, Yang; et al., 92m:34159 

Zhang, Bo! see Burton, T. A., 92e:34085 

Zhang, Meng Qiu Oscillation of solutions to systems of linear partial difference variable 
differential equations. (Chinese. English summary) 92m:34173 

Zhang, Wei De Asymptotic behavior of a class of first-order differential equations of neutral 
type. (Chinese. English summary) 

Zhang, Yi! see Zhang, Yi’; et al., 92c:34086 

Zhang, Yi? (with Zhang, Yi') The necessary and sufficient conditions for the existence of 
periodic solutions of a type of neutral functional-differential equations. 92¢:34086 

Zhao, Tao see Kuang, Yang; et al., 92m:34159 

Zhao, Xiao Qiang Fixed point of set-valued mapping and periodic solution of a class of 
functional-differential equations. 92g:34102 

Zhou, De Tang Oscillations of solutions to neutral functional-differential equations. 
(Chinese. English summary) 92a:34082 

Zhou, Li (with Song, Kai Tai) The effect of large time lags on Hopf bifurcation in prey- 
predator systems with time lags and migration. (Chinese) 92i:34099 

Zhu, Si Ming (with Wu, Yong Tang) Periodic solutions to autonomous functional- 
differential equations with a piecewise constant function. (Chinese. English summary) 
92a:34083 

Zinner, B. Stability of traveling wavefronts for the discrete Nagumo equation. 924:34146 


Items with secondary classifications in 34K15 

Abdou, Thabet Ahmed (with Ahmed, Abdel-Hadi Alem) On perturbations of nonlinear 
integrodifferential equations. 92m:45008 

Ahmed, Abdel-Hadi Alem see Abdou, Thabet Ahmed, 92m:45008 

Azbelev, N. V. (with Maksimov, V. P.; Rakhmatullina, L. F.) * Bsezenue 8 Teopxi0 
yHKUHOHaNbHO-AuhepeHuMaNbHbIX ypaBHeHHH. (Russian) [Introduction to the theory of 





523 1992 


functional-differential equations] 92j:34123 

Boichuk, A. A. (with Chuiko, S.M.) Periodic solutions of nonlinear autonomous systems 
with delay in critical cases. (Russian. English summary) 92k:34085 

Burton, T. A. (with Eloe, Paul W.; Islam, Muhammad Nurul) Periodic solutions of linear 
integro-differential equations. 92k:45017 

Casal, Alfonso C. Periodic solutions of functional-differential equations: stability. (Spanish. 
English summary) (see 92b:00044) 

— see also Talibi, H., 92d:58154 

Chen, Qiang Total boundedness and total global asymptotic stability of solutions to 
functional-differential equations. (Chinese. English summary) 92i:34101 

Chuiko, S. M. see Boichuk, A. A., 92k:34085 

Diamond, Harold George (with Halberstam, H.; Richert, H.-E.) A boundary value problem 
for a pair of differential delay equations related to sieve theory. I. 92a:11107 

Diekmann, Odo (with van Gils, Stephan A.) The center manifold for delay equations in the 
light of suns and stars. 92m:47151 

Dubyagina, Yu. V. see Gelig, A. Kh. 

Eloe, Paul W. see Burton, T. A.; et al., 92k:45017 

Eviampiev, N. P. (with Filippov, I. E.) Periodic solution of a linear functional equation with 
a variable coefficient. (Russian) 92m:39018 

Filippov, I. E. see Evlampiev, N. P., 92m:39018 

Freedman, H.I. see Wu, Jian Hong, 92j:34141 

Gelig, A. Kh. (with Dubyagina, Yu. V.) Stability of periodic solutions of a class of 
functional-differential equations. (Russian. English summary) 

Georgiou, D. A. (with Grove, E. A.; Ladas, G.) Oscillation of neutral difference equations 
with variable coefficients. 92b:39002 

van Gils, Stephan A. see Diekmann, Odo, 92m:47151 

Grove, E. A. see Georgiou, D. A.; et al., 92b:39002 

Gyéri, Istvan (with Ladas, G.; Pakula, L.) Conditions for oscillation of difference equations 
with applications to equations with piecewise constant arguments. 92¢:39004 

Halberstam, H. see Diamond, Harold George; et al., 92a:11107 

He, Meng Xing Abstract functional-differential equation. VII. Bounded, periodic, almost 
periodic solutions; stable and unstable manifolds. (Chinese) 92b:34099 

Hino, Yoshiyuki (with Murakami, Satoru; Naito, Toshiki) * Functional-differential 
equations with infinite delay. 92g:34088 

Hu, Zuo Sheng Estimate of solutions to nonlinear integral-type difference equations. 
92h:34127 

Hutson, V. The existence of an equilibrium for permanent systems. 92g:92016 

Islam, Muhammad Nurul see Burton, T. A.; et al., 92k:45017 

Karakostas, George (with Philos, Ch. G.; Sficas, Y.G.) The dynamics of some discrete 
population models. 92j:39004 

Kartsatos, Athanassios G. The existence of bounded solutions on the real line of perturbed 
nonlinear evolution equations in general Banach spaces. 92i:34108 

Karydas, Nicholas (with Schinas, John) The integral manifold theorem for a discrete 
system. (Serbo-Croatian summary) 92m:39007 

Kashchenko, S. A. An asymptotic analysis of relaxation oscillations in elementary models of 
population dynamics. (Russian) (see 92g:00016) 

— Spatially heterogeneous structures in the simplest models with delay and diffusion. 
(Russian. English summary) 92j:92015 

Kuang, Yang On neutral delay logistic Gause-type predator-prey systems. 92h:34147 

Kuruklis, S. A. see Qian, Chuan Xi; et al., 92k:39004 

Ladas, G. Oscillations of difference equations with positive and negative coefficients. 
92c:39006 

— Recent developments in the oscillation of delay difference equations. 92¢:39005 

— see also Georgiou, D. A.; et al., 92b:39002; Gyéri, Istvan; et al., 92c:39004 and Qian, Chuan 
Xi; et al., 92k:39004 

Li, Tie Cheng On periodic solution of forced second order vector delay-differential 
equation. $2b:34076 

Lin, Xiao-Biao Using Mel/nikov’s method to solve Silnikov’s problems. 92b:58195 

Lizana Pefia, Marcos Attractors for systems of functional-differential equations. 92k:58240 

Maksimov, V. P. see Azbelev, N. V.; et al., 92j:34123 

Mihalikovaé, Bozena Asymptotic behaviour of all solutions of differential systems with 
deviating arguments. (Russian summary) 92b:34097 

Murakami, Satoru (with Yoshizawa, Taro) Relationships between BC-stabilities and p- 
stabilities in functional-differential equations with infinite delay. 92k:34105 

— see also Hino, Yoshiyuki; et al., 92g:34088 

Naito, Toshiki see Hino, Yoshiyuki; et al., 

Nguyén Dinh Huy Existence of solutions for a class of differential inclusions with memory. 
92¢e:34022 

Nocilla, Silvio On exact calculation of forced vibrations of a system with hysteresis. 
925:34076 

Norris, D.O. (with Soewono, E.) Period doubling and chaotic behavior of solutions to 
y'(t) = wy(t)(1 — y(G[(t + a)/d))). 920:58080 

Pakula, L. see Gyéri, Istvan; et al., 92c:39004 

Papageorgiou, Nikolaos S. Volterra integrodifferential inclusions in reflexive Banach spaces. 
92i:34112 

Petzeltova, Hana The Hopf bifurcation theorem for parabolic equations with infinite delay. 
(Czech summary) 92m:34182 

Philos, Ch. G. see Karakostas, George; et al., 92j:39004 

Qian, Chuan Xi On some conjectures on neutral differential equations. 92h:34156 

— (with Kuruklis, S. A.; Ladas, G.) Oscillations of systems of difference equations with 
variable coefficients. 92k:39004 

Qian, Xiang Zheng see Wang, Zhi Cheng’; et al., 92a:34089 

Rakhmatullina, L. F. see Azbelev, N. V.; et al., 92j:34123 

Richert, H.-E. see Diamond, Harold George; et al., 92a:11107 

Schinas, John see Karydas, Nicholas, 92m:39007 

Seifert, George On an interval map associated with a delay logistic equation with discontin- 
uous delays. 92k:58218 

Sficas, Y.G. see Karakostas, George; et al., 92j:39004 

Smirnova, V. B. Global stability and oscillations of distributed parameter synchronization 
systems. (see 92m:49004) 


34K Functional-differential and differential-difference equations, with or without deviating arguments 


34K20 


So, Joseph Wai-Hung (with Wu, Jian Hong) Topological dimensions of global attractors for 
semilinear PDEs with delays. 92g:58116 

Soewono, E. see Norris, D. O., 92c:58080 

Song, Kai Tai see Zhou, Li; et al., 92m:35137 

Staffans, Olof J. Stable and unstable subspaces of a critical functional-differential equation. 
92b:34098 

Talibi, H. (with Casal, Alfonso C.) A perturbation approach to bifurcation branches of 
periodic solutions for some functional-differential equations. (Serbo-Croatian summary) 
924d:58154 

Torelli, Lucio A sufficient condition for GPN-stability for delay differential equations. 
92h:65127 

Waltman, Paul A brief survey of persistence in dynamical systems. 92j:34093 

Wang, Ke! Periodic solutions of neutral Volterra integral differential equations with infinite 
delay. 92h:34157 

— Quasi periodic solutions of neutral Volterra integral differential equations with infinite 
delay. (Chinese summary) 92g:45012 

Wang, Zhi Cheng! (with Qian, Xiang Zheng; Yu, Jian She) Oscillation criteria for solutions 
to neutral differential equations with mixed arguments. (Chinese. English summary) 
92a:34089 

Wei, Jun Jie Oscillation of linear neutral difference-differential equations with variable 
coefficients. (Chinese) 92e:34113 

Wu, Jian Hong (with Freedman, H. I.) Monotone semiflows generated by neutral 
functional-differential equations with application to compartmental systems. 92j:34141 

— see also So, Joseph Wai-Hung, 92g:58116 

Wa, Jiong Yu Existence of nonconstant periodic solutions to an ecological system with 
infinite delay. (Chinese. English summary) 92¢:92034 

Yoshizawa, Taro see Murakami, Satoru, 92k:34105 

Yu, Jian She see Wang, Zhi Cheng’; et al., 92a:34089 

Zanolin, Fabio Permanence and positive periodic solutions for Kolmogorov competing 
species systems. 92m:34097 

Zhanbusinova, V. Kh. A condition for C'-differentiability of an invariant torus of a 
countable system of differential-difference equations. (Russian) 92h:34155 

Zhang, Bo! On the retarded Liénard equation. 92i:34106 

Zhang, Yi! (with Zhang, Yi*) Periodic solutions to second-order linear neutral differential 
equations with constant coefficients. (Chinese) 

Zhang, Yi? see Zhang, Yi’; et al. 

Zhou, Li (with Song, Kai Tai) The analysis of Hopf bifurcation for the prey-predator 
system with diffusion and delay. 92m:35137 


34K20 Stability theory 


Azbelev, N. V. (with Berezanskii, L.M.) Stability of solutions of equations with aftereffect. 
(Russian) 92a:34084 

— (with Berezanskii, L. M.; Simonov, P. M.; Chistyakov, Aleksandr Vladimirovich) The 
stability of linear systems with aftereffect. II. (Russian) 92h:34145 

Bainov, Drumi D. see Voulov, H. D., 92b:34094 and Kulev, G. K., 92e:34106 

Berezanskii, L.M. see Azbelev, N. V., 92a:34084 and 92h:34145 

Bernui, Armando Stability of discontinuous differential equations with finite number of 
retarded terms by Lyapunov functions. 92i:34100 

Boese, F.G. Delay-independent stability of a special sequence of neutral difference- 
differential equations with one delay. 92f:34071 

Cai, Wei Xuan see Yang, Hong Kun; et al., 92i:34104 

Carvalho, L. A. V. (with Cooke, Kenneth L.) On dichotomic maps for a class of differential- 
difference equations. 92c:34087 

Casal, Alfonso C. Periodic solutions of functional-differential equations: stability. (Spanish. 
English summary) (see 92b:00044) 

Chen, Bo Shan An improvement on the Razumikhin theorem. (Chinese) 92j:34133 

Chen, Qiang Total boundedness and total global asymptotic stability of solutions to 
functional-differential equations. (Chinese. English summary) 92i:34101 

Cheng, Jun Ping (with Li, Zhi Yong) The sufficient and necessary conditions of uncondi- 
tional stability and the delay bound of the third-order neutral delay differential equation. 
(Chinese. English summary) 92i:34102 

Chistyakov, Aleksandr Vladimirovich see Azbelev, N. V.; et al., 92h:34145 

Chukwu, E. N. Global behavior of linear retarded functional-differential equations. 
92j:34134 

Cooke, Kenneth L. see Carvalho, L. A. V., 92c:34087 

Cui, Bao Tong Stability of neutral systems. (Chinese. English summary) 92a:34085 

Dormayer, P. The stability of special symmetric solutions of x(t) = af (x(t — 1)) with small 
amplitudes. 92b:34090 

Dubyagina, Yu. V. see Gelig, A. Kh. 

Engel’son, L. E. Stability in the mean of a linear functional-differential equation with a 
random operator. (Russian. English and Latvian summaries) 92j:34135 

Erbe, Lynn H. (with Liu, Xinzhi) On asymptotic stability for functional-differential 
systems. 92k:34101 

Feng, Zhao Shu (with Liu, Yong Qing; Zhao, Huai Zhong) Necessary and sufficient 
conditions for delay-independent stability of multidelay linear systems. 92g:34103 

Freedman, H.I. see Weng, Xiao Qing; et al., 92g:34106 

Fu, Yu Li On Lipschitz stability for F.D.E. 92h:34146 

Galunova, K. V. (with Kir'yanen, A. I.) On the problem of the stability of linear systems 
with aftereffect. (Russian) 92g:34104 

Gelig, A. Kh. (with Dubyagina, Yu. V.) Stability of periodic solutions of a class of 
functional-differential equations. (Russian. English summary) 

Grebenshchikov, B. G. Stability of linear systems with constant delay and with exponential 
coefficients. (Russian) 92g:34105 

— Stability of stationary sy of linear diffe 
that depends linearly on time. (Russian) 

Hara, Tadayuki (with Yoneyama, Toshiaki; Miyazaki, R.) Volterra integro-differential 
inequality and asymptotic criteria. 92m:34174 

Hatvani, Laészl6 On the asymptotic stability of the solutions of functional-differential 
equations. 92f:34072 





ial equations of neutral type with delay 





34K20 


Hawdon, B. J. (with O'Gorman, J.; Heffernan, D. M.) Stability characteristics of nonlinear 
delay systems. 92b:34091 

Heffernan, D. M. see Hawdon, B. J.; et al., 92b:34091 

Hornor, William E. Correction: “Invariance principles and asymptotic constancy of 
solutions of precompact functional-differential equations” [Téhoku Math. J. (2) 42 
(1990), no. 2, 217-229; MR 91c:34102]. 92d:34147 

Hu, Shi Geng Asymptotic stability of linear functional-differential equations. (Chinese) 
92j:34136 

Huang, Kun Lun see Huang, Qi Chang; et al., 92c:34088 

Huang, Qi Chang (with Zhang, Bo'; Huang, Kun Lun) Generalized Ascoli-Arzela’s lemma 
and stability of functional-differential equations with infinite delay. (Chinese summary) 
92¢:34088 

Huang, Wen Gang The stability of RDDE X(t) + p;(t)X(t) + qi(t)x(0) + po(t) x(t — r(t)) + 
q2(t)x(t — r(t)) =0. 92i:34103 

Huang, Wen Zhang On asymptotic stability for linear delay equations. 92j:34137 

Jiang, Jing Hong see Li, Li Ming; et al., 92h:34148 

Kan Van Tuat Exponential dichotomy and stability of a differential system with retarded 
arguments. (Russian. Ukrainian summary) 92m:34175 

Karakostas, George (with Philos, Ch. G.; Sficas, Y.G.) Stable steady state of some 
population models. 92m:34176 

Karatueva, N. A. Vector Lyapunov functions for the systems with delay. (see 92i:34003) 

Kertész, V. Stability investigations and exponential estimations for functional-differential 
equations of retarded type. 92e:34105 

Khusainov, D. Ya. Estimates for solutions of linear systems with delay. (Russian) 
92m:34177 

— Estimates for the stability of solutions of systems of functional-differential equations of 
neutral type. (Russian. Ukrainian summary) 92k:34102 

Kir’yanen, A.I. see Galunova, K. V., 92g:34104 

Krisztin, T. On stability properties for one-dimensional functional-differential equations. 
92k:34103 

Kuang, Yang On neutral delay logistic Gause-type predator-prey systems. 92h:34147 

— Global stability for a class of nonlinear nonautonomous delay equations. 92j:34138 

Kulev, G. K. (with Bainov, Drumi D.) Stability of the solutions of impulsive integro- 
differential equations in terms of two measures. (French summary) 92¢:34106 

Lakshmikantham, V. Current state of the Lyapunov method for delay differential equations. 
(see 92i:34003) 

— Recent advances in Lyapunov method for delay differential equations. 92¢:34107 

— (with Leela, S.; Sivasundaram, S.) Lyapunov functions on product spaces and stability 
theory of delay differential equations. 92a:34086 

Leela, S. see Lakshmikantham, V.; et al., 92a:34086 

Li, Li Ming Stability for linear nonautonomous delay differential equations. 92b:34092 

— (with Jiang, Jing Hong) The stability of nonautonomous delay systems. 92h:34148 

Li, Zhi Yong see Cheng, Jun Ping; et al., 92i:34102 

Liang, Jin (with Xiao, Ti Jun) Functional-differential equations with infinite delay in 
Banach spaces. 92¢:34108 

Liao, Xiao Xin Stability of time-delay linear systems. (Chinese) 92m:34178 

Liu, Xinzhi Boundedness and Lagrange stability for functional-differential systems. 
92m:34179 

— see also Erbe, Lynn H.; et al., 92k:34101 

Liu, Yong Qing see Feng, Zhao Shu; et al., 92g:34103 

Louisell, James A stability analysis for a class of differential-delay equations having time- 
varying delay. 92h:34149 

Ma, Wan Biao see Si, Li Geng; et al., 92¢:34089and 92h:34150 

Ma, Zhi En see Weng, Xiao Qing; et al., 92g:34106 

Magomedov, A. R. Stability of solutions of linear periodic systems of differential equations 
with maxima. (Russian) 92k:34104 

Makay, G. On the asymptotic stability in terms of two measures for functional-differential 
equations. 92b:34093 

Milota, Jaroslav Stability for a linear functional-differential equation with infinite delay. 
(see 92b:00038) 

Miyazaki, R. see Hara, Tadayuki; et al., 92m:34174 

Murakami, Satoru (with Yoshizawa, Taro) Relationships between BC-stabilities and p- 
stabilities in functional-differential equations with infinite delay. 92k:34105 

O’Gorman, J. see Hawdon, B. J.; et al., 92b:34091 

Philos, Ch. G. see Karakostas, George; et al., 92m:34176 

Sficas, Y.G. see Karakostas, George; et al., 92m:34176 

Si, LiGeng (with Ma, Wan Biao) Stability of functional-differential equations of super- 
neutral type and their applications. (Chinese. English summary) 92¢:34089 

— (with Ma, Wan Biao) A study on stability of time-delay differential equations of neutral 
type. (Chinese. English summary) 

— (with Ma, Wan Biao) Differential-difference inequalities with unbounded delays and their 
applications. 92h:34150 

Simonov, P. M. see Azbelev, N. V.; et al., 92h:34145 

Sivasundaram, S. see Lakshmikantham, V.; et al., 92a:34086 

Tang, Xian Ying (with Wang, Lian) Construction of Lyapunov functionals of nonconvolu- 
tion type. (Chinese) 92e:34109 

Terjéki, J. Power-asymptotic stability for functional-differential equations. (see 92i:34003) 

Voulov, H. D. Uniform asymptotic stability of a scalar differential equation with “maxi- 
mum”. 92j:34139 

— (with Bainov, Drumi D.) Asymptotic stability of the solutions of a linear singularly 
perturbed system with unbounded delay. 92b:34094 

Wang, Huan Chen see Wu, Chong Feng; et al., 92h:34151 

Wang, Lian (with Zhang, Yi?) On stability of the large scale systems with time-lag under 
structural perturbations. 92b:34095 

— see also Tang, Xian Ying; et al., 92e:34109 

Weng, Xiao Qing (with Ma, Zhi En; Freedman, H. I.) Global stability of Volterra models 
with time delay. 92g:34106 

Wu, Chong Feng (with Wang, Huan Chen) A practical algebraic method for delay- 
independent e-stability of linear time-delay systems of neutral type. (Chinese) 92h:34151 

Xiao, Ti Jun see Liang, Jin, 92e:34108 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 524 


Xie, Sheng Li A new decomposition method of C,-stability for large-scale neutral type 
systems with time-delay. (Chinese. English summary) 

Xie, Zuo Shi see Xu, Dao Yi; et al., 92e:34111 

Xu, Dao Yi Conditions for all the roots of a class of transcendental equations to have 
negative real parts. (Chinese) 92¢:34110 

— Unconditional stability of linear systems with delay. (Chinese) 924:34148 

— (with Xie, Zuo Shi) Stability of large-scale Volterra integro-differential systems. (Chinese. 
English summary) 92¢:34111 

Xu, Yuan Tong A study on Mp-stability of 
(Chinese. English summary) 92k:34106 

Yang, Hong Kun (with Cai, Wei Xuan) The connective generalized exponential stability of 
delay systems. (Chinese. English summary) 92i:34104 

Yoneyama, Toshiaki see Hara, Tadayuki; et al., 92m:34174 

Yoshizawa, Taro see Murakami, Satoru, 92k:34105 

Yu, Yuan Hong Sufficient conditions for asymptotic instability of differential delay systems. 
92i:34105 

Zelentsovskii, A. L. Algebraic conditions for the existence of the Lyapunov-Razumikhin 
function. (see 92i:34003) 

Zhang, Bo! On the retarded Liénard equation. 92i:34106 

— see also Huang, Qi Chang; et al., 92c:34088 

Zhang, Yi? see Wang, Lian; et al., 92b:34095 

Zhao, Huai Zhong see Feng, Zhao Shu; et al., 92g:34103 


Items with secondary classifications in 34K20 


Abdou, Thabet Ahmed (with Ahmed, Abdel-Hadi Alem) On perturbations of nonlinear 
integrodifferential equations. 92m:45008 

Ahmed, Abdel-Hadi Alem see Abdou, Thabet Ahmed, 92m:45008 

Azbelev, N. V. (with Maksimov, V. P.; Rakhmatullina, L. F.) * Bsezenue B Teopnio 
byHKUHOHAaNbHO-AHepenMabHBIX ypaBHeHuUA. (Russian) [Introduction to the theory of 
functional-differential equations] 92j:34123 

Baker, Christopher T. H. (with Ford, Neville J.) Some applications of the boundary-locus 
method and the method of D-partitions. 92e:65171 

(Borne, P.) see Lyapunov functions method and applications, 92i:34003 

Brauer, Fred see Hao, Dun Yuan, 92e:92021 

Cherevko, I. M. see Fodchuk, V. I., 92k:34091 

Chernetskaya, L. N. see Martynyuk, A. A.; et al., 92k:76038 

Cooke, Kenneth L. (with Wiener, Joseph) A survey of differential equations with piecewise 
continuous arguments. 92h:34133 

Datko, R. (with You, Yun Cheng) Some second-order vibrating systems cannot tolerate 
small time delays in their damping. 92m:34132 

Devanathan, Rajagopalan Stability analysis of first order time delay systems under PID 
control for simultaneous parameter variation. 92k:93110 

Farkas, M. (with Stépan, G.) On perturbation of the kernel in infinite delay systems. 
92m:34153 

Fitzgibbon, William E. (with Parrott, Mary E.) Linearized stability of semilinear delay 
equations in fractional power spaces. 92c:34091 

Fodchuk, V. I. (with Cherevko, I. M.) Integral manifolds of linear singularly perturbed 
functional-differential equations. (Russian) 92k:34091 

Ford, Neville J. see Baker, Christopher T. H., 92e:65171 

Freedman, H. 1. (with Kuang, Yang) Stability switches in linear scalar neutral delay 
equations. 92m:34183 

— (with Wu, Jian Hong) Persistence and global asymptotic stability of single species 
dispersal models with stage structure. 92f:92028 

— see also Wu, Jian Hong, 92j:34141 

Fu, Minyue (with Olbrot, Andrzej W.; Polis, Michael P.) The edge theorem and graphical 
tests for robust stability of neutral time-delay systems. 92f:93087 

Furumochi, Tetsuo (with Hayashi, Akifumi) Stability and oscillation in delay differential 
equations with piecewise constant arguments. 92¢:34092 

Galunova, K. V. On the stabilizability of systems with aftereffect. (Russian. English 
summary) 

Gopalsamy, Kondalsamy (with Ladas,G.) On the oscillation and asymptotic behavior of 
N(t) = N(t)[a + bN(t — t) — cN2(t — 1)]. 926:34062 

— (with He, Xue Zhong; Wen, Li Zhi) On a periodic neutral logistic equation. 92j:34127 

— On a neutral Lotka-Volterra system. 92k:92016 

Grigor'eva, E. V. (with Kashchenko, S. A.) Asymptotic investigation of multistability 
phenomena in laser models with opto-electronic feedback. (Russian) 92h:81213 

Hao, Dun Yuan (with Brauer, Fred) Analysis of a characteristic equation. 92e:92021 

Hayashi, Akifumi see Furumochi, Tetsuo, 92e:34092 

He, Meng Xing Abstract functional-differential equation. VII. Bounded, periodic, almost 
periodic solutions; stable and unstable manifolds. (Chinese) 92b:34099 

He, Xue Zhong see Gopalsamy, Kondalsamy; et al., 92j:34127 

Hering, Roger H. Boundedness and periodic solutions in infinite delay systems. 92m:34157 

Hino, Yoshiyuki (with Murakami, Satoru; Naito, Toshiki) * Functional-differential 
equations with infinite delay. 92g:34088 

— (with Murakami, Satoru) Total stability and uniform asymptotic stability for linear 
Volterra equations. 92i:45004 

Ha, Jian Yong Stability and boundedness of a class of retarded functional-differential 
equations. 92f:34063 

Hu, Shi Geng Type K monotone semiflows generated by a class of functional-differential 
equations. (Chinese) 92i:34095 

Jeong, Jin-Mun Stabilizability of retarded functional-differential equation in Hilbert space. 
92k:34107 

Kashchenko, S. A. see Grigor’eva, E. V., 92h:81213 

Kedyk, T. V. (with Obolenskii, A. Yu.) On the stability with respect to two measures of 
hybrid quasimonotone extensions. (Russian. English summary) 92m:34184 

Kharitonov, V.L. A stability criterion for a family of quasipolynomials of delaying type. 
(Russian) 92e:93038 

Kocié, Vlajko Lj. (with Ladas, G.) Global attractivity in nonlinear delay difference 
equations. 92j:39005 

Korenevskii, D. G. * YctofunpocTb AMHaMMYeCKHX CHCTeM MPH Cy4ahHbIX BOSMYWIeCHHAX 


ded functi Lait 








ial equations. 





525 1992 


napametpos. (Russian) [Stability of dynamical systems under random perturbations of 
parameters] 92f:34042 

Kuang, Yang (with Smith, Hal L.; Martin, R. H., Jr.) Global stability for infinite-delay, 
dispersive Lotka-Volterra systems: weakly interacting populations in nearly identical 
patches. 92h:34154 

— Qualitative analysis of one- or two-species neutral delay population models. 92m:34160 

— see also Freedman, H. I., 92m:34183 

Ladas, G. (with Qian, Chuan Xi) Oscillation in differential equations with positive and 
negative coefficients. 92b:34083 

— see also Gopalsamy, Kondalsamy, 92f:34062 and Koci¢, Viajko Lj., 92j:39005 

Lakshmikantham, V. (with Leela, S.; Martynyuk, A. A.) * Practical stability of nonlinear 
systems. 92g:34067 

Leela, S. see Lakshmikantham, V.; et al., 92g:34067 

Li, Li Ming Stationary oscillation for higher-dimensional functional-diff ial sy 
(Chinese) 92e:34099 

Ma, Wan Biao see Si, Li Geng; et al., 92i:34114a and 92i:34114b 

Mahfoud, W. E. Asymptotic stability of an integrodifferential system. 92g:45011 

Maksimov, V. P. see Azbelev, N. V.; et al., 92j:34123 

Mao, Xue Rong Exponential stability for stochastic differential delay equations in Hilbert 
spaces. 92a:34090 

Martin, R. H., Jr. see Kuang, Yang; et al., 92h:34154 

Martynyuk, A. A. (with Obolenskii, A. Yu.; Chernetskaya, L. N.) Stability of complex 
hydrodynamic systems (a survey). (Russian. English summary) 92k:76038 

— see alsc Lakshmikantham, V.; et al., 92g:34067 

(Matrosov, V. M.) see Lyapunov functions method and applications, 92i:34003 

Memory, Margaret C. Stable and unstable manifolds for partial functional-differential 
equations. 928:35156 

Murakami, Satoru see Hino, Yoshiyuki; et al., 92g:34088 and 92i:45004 

Naito, Toshiki see Hino, Yoshiyuki; et al., 92g:34088 

Obolenskii, A. Yu. see Martynyuk, A. A.; et al., 92k:76038 and Kedyk, T. V., 92m:34184 

Olbrot, Andrzej W. see Fu, Minyue; et al., 92f:93087 

Pal, V.N. see Rama Mohana Rao, M., 92k:92024 

Parrott, Mary E. see Fitzgibbon, William E., 92c:34091 

Polis, Michael P. see Fu, Minyue; et al., 92f:93087 

Qian, Chuan Xi see Ladas, G., 92b:34083 

Rai, Bindhyachal (with Singh, Abhimanyu) Delayed positive feedbacks and stability in a 
predator-prey-mutualist system. 

Rakhmatullina, L. F. see Azbelev, N. V.; et al., 92j:34123 

Rama Mohana Rao, M. (with Pal, V.N.) Asymptotic stability of grazing systems with 
unbounded delay. 92k:92024 

Sergeev, V.S. Instability of solutions of integro-differential equations of Volterra type in the 
critical case of a pair of purely imaginary roots. (Russian) 92i:45007b 

— On the instability of solutions of integro-differential equations in a certain case. (Russian) 
92i:45007a 

Si, LiGeng (with Ma, Wan Biao) Delay differential inequalities and their applications. 
(Chinese. English summary) 92i:34114a 

— (with Ma, Wan Biao) Nonlinear reverse delay differential inequalities and their 
applications in the theory of instability. (Chinese. English summary) 92i:34114b 

Simirad, Constantin see Talpalaru, Pavel, 92f:34075 

Singh, Abhimanyu see Rai, Bindhyachal 

Sinha, A. S.C. Stabilization of large-scale nonlinear infinite delay systems. 92a:93096 

Smirnova, V. B. Global stability and oscillations of distributed parameter synchronization 
systems. (see 92m:49004) 

Smith, Hal L. see Kuang, Yang; et al., 92h:34154 

Stépan, G. see Farkas, M., 92m:34153 

Talpalaru, Pavel (with Simirad, Constantin) Estimates for the solutions of a certain 
differential equation of neutral type. (Romanian summary) 92f:34075 

Torelli, Lucio A sufficient condition for GPN-stability for delay differential equations. 
92h:65127 

Wei, Jun Jie The asymptotic behavior of the solutions to the retarded functional-differential 
equation x(t) = F(x(t)) — G(x(t — t;(t)),---,x(t — tn(t))). (Chinese. English summary) 
92h:34153 

Wen, Li Zhi see Gopalsamy, Kondalsamy; et al., 92j:34127 

Wiener, Joseph see Cooke, Kenneth L., 92h:34133 

Wau, Jian Hong Uniform behaviors of solutions of neutral equations with infinite delay. II. 
92d:34144 

— (with Freedman, H. 1.) Monotone semiflows generated by neutral functional-differential 
equations with application to compartmental systems. 92j:34141 

— see also Freedman, H. I., 92f:92028 

Yasinskaya, L. 1. (with Yasinskii, V. K.) Stability of stochastic differential equations with 
variable delay in the presence of Poisson perturbations. (Russian) 92a:60142 

Yasinskii, V.K. see Yasinskaya, L. I., 92a:60142 

You, Yun Cheng see Datko, R., 92m:34132 

Zelentsovskii, A. L. Stability with probability 1 of solutions of systems of linear stochastic 
It6 differential-difference equations. (Russian. Ukrainian summary) 92i:34113 

Zhang, Zong Da Stability of large-scale systems of Volterra integro-differential equations 
under structural perturbations. (Chinese. English summary) 92k:45021 

Zinner, B. Stability of traveling wavefronts for the discrete Nagumo equation. 924:34146 

Zubov, N. V. Stability in systems with after-effect. (Russian) 92k:93111 





Items listed otherwise than by author 


Lyapunov functions method and applications * The Lyapunov functions method and 
applications. 92i:34003 


34K25 Asymptotic theory 


Diblik, Josef Existence of solutions with asymptotic behavior of a certain type of some 
systems of delay functional-differential equations. (Russian) 92i:34107 

Foltyriska, Izabela Some properties of functional integrability of the system of n second 
order differential equations with deviating argument. 92f:34073 


34K Functional-differential and differential-difference equations, with or without deviating arguments 


34K25 


Gomilko, A. M. (with Radzievskii,G. V.) Asymptotics with respect to the parameter of 
solutions of linear functional-differential equations. (Russian. Ukrainian summary) 
92¢:34090 

Kakishov, K. K. Singularly perturbed systems of Fredholm-type nonlinear integro- 
differential equations in cases when the degenerate equation has discontinuous solutions. 
(Russian) 92b:34096 

Kostova, T. V. Asymptotic and oscillatory properties of solutions to nonlinear delay 
equations. 92j:34140 

Kuznetsov, A.O. (with Nasretdinov, S.S.) Perturbation of a second-order differential 
equation by a small nonlinear integro-differential term. (Russian) 92m:34180 

Mihalikova, Bozena Some properties of differential systems with deviating arguments. 
92h:34152 

— Asymptotic behaviour of all solutions of differential systems with deviating arguments. 
(Russian summary) 92b:34097 

Nasretdinov, S.S. see Kuznetsov, A. O., 92m:34180 

Radzievskii, G. V. see Gomilko, A. M., 92c:34090 

Staffans, Olof J. Stable and unstable subspaces of a critical functional-differential equation. 
92b:34098 

Voronoi, A. N. (with Zavizion, G. V.) Construction of asymptotic expansions of solutions 
of a system of second-order linear integro-differential equations. (Russian) 92a:34087 

Wei, Jun Jie The asymptotic behavior of the solutions to the retarded functional-differential 
equation x(t) = F(x(t)) — G(x(t — t;(t)),---, x(t — ta(t))). (Chinese. English summary) 
92h:34153 

Zavizion, G. V. see Voronoi, A. N., 92a:34087 


Items with secondary classifications in 34K25 

Azbelev, N. V. (with Maksimov, V. P.; Rakhmatullina, L. F.) * Baezenue 8 Teopxi0 
yHKUMOHAaIE dbdep JbHBIX ypaBHeHHA. (Russian) [Introduction to the theory of 
functional-differential equations] 92j:34123 

Bainov, Drumi D. (with Petrov, V. V.) Oscillation and asymptotic behaviour of neutral 
equations with distributed delay. 

Chen, Bo Shan The asymptotic behavior of some differential equations with unbounded 
delay. (Chinese) 92e:34086 

Chen, Shao Zhu (with Huang, Qing Guang) Necessary and sufficient conditions for the 
oscillations of solutions to systems of neutral functional-differential equations. 92¢:34087 

— see also Huang, Qing Guang, 92a:34073 

Corduneanu, C. Some results on the ultimate behavior of solutions of Volterra functional- 
differential equations. 92d:34133 

Csaté, S. On the structure of the solutions of an autonomous differential-delay system by the 
method of characteristic equation. 92¢:34090 

Deift, Percy see Venakides, Stephanos; et al., 92m:35242 

Driver, R. D. (with Ladas, G.; Vlahos, P. N.) Asymptotic behavior of a linear delay 
difference equation. 92i:39004 

Fu, Xi Lin Asymptotic behavior of solutions to second-order neutral functional-differential 
equations. (Chinese. English summary) 92m:34154 

Gacki, Henryk (with Lasota, Andrzej) Markov operators defined by Volterra type integrals 
with advanced argument. 924:47044 

Gelashvili, Sh. M. Numerical solution of boundary value problems for systems of nonlinear 
functional-differential equations. (Russian. English and Georgian summaries) 92b:65058 

Grace, S. R. Oscillatory properties of functional-differential equations. 92i:34094 

— see also Lalli, Bikkar S., 92b:34084 

Graef, John R. (with Grammatikopoulos, Myron K.; Spikes, Paul W.) Asymptotic and 
oscillatory behavior of solutions of first order nonlinear neutral delay differential 
equations. 92e:34093 

— (with Grammatikopoulos, Myron K.; Spikes, Paul W.) On the asymptotic behavior of 
solutions of a second order nonlinear neutral delay differential equation. 92¢:34094 

Grammatikopoulos, Myron K. see Graef, John R.; et al., 92e:34093 and 92e:34094 

Hatvani, Laszié6 On the asymptotic stability of the solutions of functional-differential 
equations. 92f:34072 

Hornor, William E. Correction: “Invariance principles and asymptotic constancy of 
solutions of precompact functional-differential equations” [Téhoku Math. J. (2) 42 
(1990), no. 2, 217-229; MR 91¢:34102]. 92d:34147 

Hu, Jian Yong Stability and boundedness of a class of retarded functional-differential 
equations. 92f:34063 

Hu, Shi Geng Globally asymptotic behaviour of a class of integro-differential equations. 
(Chinese summary) 92i:45005 

Huang, Qing Guang (with Chen, Shao Zhu) Oscillation of neutral differential equations 
with periodic coefficients. 92a:34073 

— see also Chen, Shao Zhu, 92e:34087 

Koplatadze, R. G. Specific properties of solutions of differential equations with deviating 
argument. (Russian. Ukrainian summary) 92g:34094 

Ladas, G. see Driver, R. D.; et al., 92i:39004 

Lalli, Bikkar S. (with Grace, S. R.) Asymptotic and oscillatory behavior of a class of second 
order functional-differential equations. 92b:34084 

Lasota, Andrzej see Gacki, Henryk, 92d:47044 

Maksimov, V. P. see Azbelev, N. V.; et al., 92j:34123 

Matraimov, M. T. Existence of bounded solutions of differential equations with reflection of 
the argument. (Russian) 92b:34089b 

— see also Ved’, Yu. A., 92b:34089a 

Miao, Shu Mei Asymptotic estimation of solutions to singularly perturbed boundary value 
problems for nonlinear differential-difference equations. (Chinese. English summary) 
92¢e:34083 

Nadareishvili, V. A. Oscillation of solutions of higher-order linear differential equations 
with deviating arguments. (Russian. English and Georgian summaries) 92d:34140 

Nasr, A. H. Asymptotic behaviour and oscillation of classes of integrodifferential equations. 
92k:34097 

Oba, Roger see Venakides, Stephanos; et al., 92m:35242 

Parhi, N. Oscillatory behaviour of solutions of first-order ordinary and delay differential 
equations. 92a:34077 

Petrov, V. V. see Bainov, Drumi D. 








34K25 


Rakhmatullina, L. F. see Azbelev, N. V.; et al., 92j:34123 

Saribaév, M. (with Shpakovich, V. P.) A single-frequency method for the asymptotic 
integration of systems with delay. (Russian) 92f:34066 

Shpakovich, V. P. see Saribatv, M., 92f:34066 

Spikes, Paul W. see Graef, John R.; et al., 92e:34093 and 92e:34094 

Tang, De Quan see Tang, Mu Zhong; et al. 

Tang, Mu Zhong (with Tang, De Quan) Asymptotic properties of solutions to a class of 
second-order differential equations with time delay. (Chinese. English summary) 

Ved’, Yu. A. (with Matraimov, M. T.) Problems of well-posedness, boundedness and 
stabilization of solutions of the Cauchy problem for differential equations with reflection 
of the argument. (Russian) 92b:34089a 

Venakides, Stephanos (with Deift, Percy; Oba, Roger) The Toda shock problem. 
92m:35242 

Viahos, P. N. see Driver, R. D.; et al., 92i:39004 

Wang, Kai Xun Oscillation and asymptotic behavior of solutions of nth order nonlinear 
neutral differential equations. 92f:34068 

Weng, Pei Xuan Oscillations of solutions of first-order neutral differential difference 
equations. 92f:34069 

Wa, Xiang Bao Oscillation and asymptotic behavior of solutions to neutral differential- 
difference equations. (Chinese) 92c:34085 

Yu, Yuan Hong Sufficient conditions for asymptotic instability of differential delay systems. 
92i:34105 


34K30 Equations in abstract spaces [see also 34Gxx] 


Aliev, R.G. Normal solvability of a functional-differential equation with operator 
coefficients in a Hilbert space. (Russian) 92m:34181 

Azbelev, N. V. (with Islamov, G.G.) On an abstract theory of a linear equation. (Russian) 
92a:34088 

Fitzgibbon, William E. (with Parrott, Mary E.) Linearized stability of semilinear delay 
equations in fractional power spaces. 92¢:34091 

He, Meng Xing Abstract functional-differential equation. VII. Bounded, periodic, almost 
periodic solutions; stable and unstable manifolds. (Chinese) 92b:34099 

Islamov, G. G. see Azbelev, N. V., 92a:34088 

Jeong, Jin-Mun Stabilizability of retarded functional-differential equation in Hilbert space. 
92k:34107 

Kartsatos, Athanassios G. Applications of nonlinear perturbation theory to the existence of 
methods of lines for functional evolutions in reflexive Banach spaces. (Polish summary) 
92d:34149 

— The existence of bounded solutions on the real line of perturbed nonlinear evolution 
equations in general Banach spaces. 92i:34108 

— On the method of steps for time-dependent delay equations in general Banach spaces. 
92d:34150 

Kuang, Yang (with Smith, Hal L.; Martin, R. H., Jr.) Global stability for infinite-delay, 
dispersive Lotka-Volterra systems: weakly interacting populations in nearly identical 
patches. 92h:34154 

Martin, R. H., Jr. see Kuang, Yang; et al., 92h:34154 

Moroz, O. V. (with Sotnichenko, N. A.) Differential equations with deviating argument in a 
Banach space and their asymptotics. (Russian. English summary) 92k:34108 

Parrott, Mary E. see Fitzgibbon, William E., 92c:34091 

Petzeltové, Hana The Hopf bifurcation theorem for parabolic equations with infinite delay. 
(Czech summary) 92m:34182 

Rapp, Piotr Point initial value problem for linear functional-differential equations in 
Banach spaces. 92i:34109 

Shin, Jong Son On Kneser-type theorem for functional-differential equations with the phase 
space €, in Banach spaces. 92i:34110 

Smith, Hal L. see Kuang, Yang; et al., 92h:34154 

Sotnichenko, N. A. see Moroz, O. V., 92k:34108 

Zhanbusinova, V. Kh. A condition for C’-differentiability of an invariant torus of a 
countable system of differential-difference equations. (Russian) 92h:34155 


Items with secondary classifications in 34K30 


Adimy, Mostafa Bifurcation de Hopf locale par semi-groupes intégrés. (English summary) 
[Local Hopf bifurcation using integrated semigroups] 92b:47108 

Bainov, Drumi D. (with Kostadinov, St. I.; Zabreiko, P. P.) Lp-equivalence of a linear and a 
nonlinear impulsive differential equation in a Banach space. 92h:34029 

Craig, Jessica M. (with Kartsatos, Athanassios G.) Functional evolution equations 
involving 7-accretive and T-Lipschitz operators in Banach lattices. 92d:47092 

Dhakne, M. B. (with Pachpatte, B.G.) On some abstract functional integrodifferential 
equations. 92e:47127 

Donchev, Tzanko Donchev Functional-differential inclusion with monotone right-hand side. 
$2a:34070 

Gomilko, A. M. (with Radzievskii,G. V.) Asymptotics with respect to the parameter of 
solutions of linear functional-differential equations. (Russian. Ukrainian summary) 
92¢:34090 

— (with Radzievskii, G. V.) Equivalence in L,[0, 1] of the system e'2*** (k = 0,+1,---) and 
the system of eigenfunctions of an ordinary functional-differential operator. (Russian) 
92m:34151 

Guo, Da Jun Nonnegative solutions of two-point boundary value problems for nonlinear 
second order integrodifferential equations in Banach spaces. 92b:34075 

Hale, Jack K. (with Verduyn Lunel, S.M.) Averaging in infinite dimensions. 924:34128 

Kartsatos, Athanassios G. see Craig, Jessica M., 92d:47092 

Kenmochi, Nobuyuki (with Koyama, Tetsuya) Nonlinear functional variational inequalities 
governed by time-dependent subdifferentials. 92j:47122 

Kostadinov, St. I. see Bainov, Drumi D.; et al., 92h:34029 

Koyama, Tetsuya see Kenmochi, Nobuyuki, 92j:47122 

Liang, Jin (with Xiao, Ti Jun) Functional-differential equations with infinite delay in 
Banach spaces. 92¢:34108 

— see also Xiao, Ti Jun, 92b:47062 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 526 


Milman, M.H. (with Schumitzky, Alan) Factorization and quadratic cost problems in 
Hilbert spaces. 92a:49061 

Pachpatte, B.G. see Dhakne, M. B., 92e:47127 

Precup, Radu Topological transversality and boundary problems for second-order 
functional-differential equations. (see 92m:49004) 

Radzievskii, G. V. see Gomilko, A. M., 92c:34090 and 92m:34151 

Schumitzky, Alan see Milman, M. H., 92a:49061 

Tataru, Daniel Time dependent m-accretive operators generating differential evolutions. 
92:47070 

Thieme, Horst R. Semiflows generated by Lipschitz perturbations of non-densely defined 
operators. 92e:47121 

Tsuruta, Kunio Wellposedness and resolvent operators of linear Volterra integro-differential 
equations in a Banach space. 92g:47102 

Verduyn Lunel, S. M. see Hale, Jack K., 92d:34128 

Wu, Jian Hong Semigroup and integral form of a class of partial differential equations with 
infinite delay. 92k:35282 

Xiang, Xiao Ling (with Yang, Zheng Pin) Semilinear parabolic problem with deviation 
argument in the time variable. (Chinese summary) 924:35291 

Xiao, Ti Jun (with Liang, Jin) A note on the propagators of second order linear differential 
equations in Hilbert spaces. 92b:47062 

— see also Liang, Jin, 92e:34108 

Yang, Zheng Pin see Xiang, Xiao Ling; et al., 92d:35291 

Zabreiko, P. P. see Bainov, Drumi D.; et al., 92h:34029 





34K35 Control problems [see also 49325, 49K25, 93C15] 


Andreeva, E. A. Sufficient optimality conditions for a discontinuous optimal control 
problem with delay. (Russian. English summary) 92¢:34092 

Buldaev, A. S. * Uncnenubie anropHTMbI ONTHMH3alHH B 3a{a4ax ypaBeHHA [IA CHCTeM C 
3ama3{bIBaHHAMH. (Russian) [Numerical optimization algorithms in control problems for 
systems with delays] 92i:34111la 

— * AnropuTM onTHMH3aMH ynpaBsieHHsa Kone6aHHAMH B CHCTeMax C 3al1a3/IbIBaHHAMH. 
(Russian) [An algorithm for the optimization of the control of oscillations in systems 
with delays] 92i:34111b 

Corduneanu, C. Some control problems for abstract Volterra functional-differential 
equations. 92g:34107 

Minyuk, S. A. Complete controllability of linear stationary systems with aftereffect. 
(Russian) 92e:34112 

Papageorgiou, Nikolaos S. Volterra integrodifferential inclusions in reflexive Banach spaces. 
92i:34112 


Items with secondary classifications in 34K35 

Bogataj, L. The estimation of the influence of uncertain delay in the control on the objective 
function. (Serbo-Croatian summary) 924:49044 

Chen, Han Fu (with Zhang, Ji Feng) Identification and adaptive control for systems with 
unknown orders, delay, and coefficients. 92c:93050 

Cheres, E. (with Palmor, Z. J.; Gutman, Shaul) Min-max predictor control for uncertain 
systems with input delays. 92a:93092 

Clarke, F.H. (with Wolenski, P.R.) The sensitivity of optimal control problems to time 
delay. (French summary) 924:49045 

Devanathan, Rajagopalan Stability analysis of first order time delay systems under PID 
control for simultaneous parameter variation. 92k:93110 

Dibrov, B. F. see Gelfand, E. V.; et al., (92a:35004) 

Dvalishvili, F. A. On the continuity of the minimum of a functional in a nonlinear optimal 
control problem with distributed delay. (Russian. English and Georgian summaries) 
922:49046 

— Some problems in the qualitative theory of optimal control with distributed delay. 
(Russian. English and Georgian summaries) 

Emel’yanov, S. V. (with Korovin, S. K.; Mamedov, I. G.; Nosov, A. P.) Asymptotic 
invariance of control systems with delay. (Russian) 92d:93100 

Gelfand, E. V. (with Dibrov, B. F.; Zhabotinskii, A. M.; Neifakh, Yu. A.; Orlova, M. P.) 
Investigation of solutions of a class of integro-differential equations. (Russian) (see 
92a:35004) 

Gutman, Shaul see Cheres, E.; et al., 92a:93092 

Hannsgen, Kenneth B. (with Wheeler, Robert L.) Viscoelastic and boundary feedback 
damping: precise energy decay rates when creep modes are dominant. 92a:45034 

Hmamed, A. Further results on the delay-independent asymptotic stability of linear systems. 
92a:93074 

Ibiejugba, M. A. A penalty optimization technique for a class of regulator problems. III. 
92j:49033 

Kappel, F. Approximation of LQR-problems for delay systems: a survey. 92j:49001 

Kenmochi, Nobuyuki (with Koyama, Tetsuya) Nonlinear functional variational inequalities 
governed by time-dependent subdifferentials. 92j:47122 

Kisielewicz, Michal (with Motyl, Jerzy) Controllability of the neutral functional-differential 
inclusion with M-dissipative right hand side. 92f:93015 

Korovin, S. K. see Emel’yanov, S. V.; et al., 92d:93100 

Koyama, Tetsuya see Kenmochi, Nobuyuki, 92j:47122 

Kwun, Young Chel (with Park, Jong Yeoul; Ryu, Jong Won) Approximate controllability 
and controllability for delay Volterra system. 92k:93023 

Lee, E. Bruce (with Lu, Wu Sheng) Feedback with delays: stabilization of linear time-delay 
and two-dimensional systems. 92c:93066 

Lu, Wu Sheng see Lee, E. Bruce, 92c:93066 

Makhmudov, E. N. Sufficient conditions for optimality on a nonfixed time interval for 
differential inclusions with delay, and duality. (Russian) 92i:49041 

— Optimization of differential inclusions with a phase constraint, and duality. (Russian) 
92k:49044 

Mamedov, I. G. see Emel’yanoyv, S. V.; et al., 92d:93100 

Milman, M. H. (with Schumitzky, Alan) Factorization and quadratic cost problems in 
Hilbert spaces. 92a:49061 

Motyl, Jerzy see Kisielewicz, Michal, 92f:93015 





527 1992 


Neifakh, Yu. A. see Gel'fand, E. V.; et al., (92a:35004) 

Nosov, A. P. see Emel’yanov, S. V.; et al., 92d:93100 

Orlova, M. P. see Gelfand, E. V.; et al., (92a:35004) 

Palmor, Z. J. see Cheres, E.; et al., 92a:93092 

Papageorgiou, Nikolaos S. Nonlinear Volterra integrodifferential evolution inclusions and 
optimal control. 92k:49009 

Park, Jong Yeoul see Kwun, Young Chel; et al., 92k:93023 

Pimenov, V. G. On the existence of generalized optimal controls in systems with delay in the 
control. (Russian) 92k:49011 

Pritchard, A. J. (with Townley, S.) Real stability radii for infinite-dimensional systems. 
92:93091 

Ryu, Jong Won see Kwun, Young Chel; et al., 92k:93023 

Sadurskis, Karlis Stabilization of a tracking man-machine system by means of Markov 
perturbations. (Russian) 924:93118 

Schumitzky, Alan see Milman, M. H., 92a:49061 

Sinha, A. S.C. Stabilization of large-scale nonlinear infinite delay systems. 92a:93096 

Townley, S. see Pritchard, A. J., 92f:93091 

Tran, Hien T. Numerical studies of the linear- 
with delay in control. (see 92g:93006) 

Wheeler, Robert L. see Hannsgen, Kenneth B., 92a:45034 

Wolenski, P.R. see Clarke, F. H., 92d:49045 

Zhabotinskii, A.M. see Gelfand, E. V.; et al., (92a:35004) 

Zhang, Ji Feng see Chen, Han Fu, 92c:93050 


dratic control probl 





for retarded systems 


34K40 Neutral equations 


Freedman, H. 1. (with Kuang, Yang) Stability switches in linear scalar neutral delay 
equations. 92m:34183 

— see also Wu, Jian Hong, 92j:34141 

Kuang, Yang see Freedman, H. I., 92m:34183 

Minyuk, S. A. On the theory of the completeness of systems with aftereffect with constraints 
on the initial conditions. (Russian) 92f:34074 

Nikitina, N. V. On modeling delay in link-chain mechanics. (Russian. English summary) 
92g:34108 

Pelyukh, G. P. see Samoilenko, A. M., 92c:34093 

Qian, Chuan Xi On some conjectures on neutral differential equations. 92h:34156 

Qian, Xiang Zheng see Wang, Zhi Cheng; et al., 92a:34089 

Samoilenko, A. M. (with Pelyukh, G. P.) Existence and uniqueness of solutions, bounded 
on the entire axis, of systems of nonlinear differential-difference equations of neutral type. 
(Russian. Ukrainian summary) 92c:34093 

Simirad, Constantin see Talpalaru, Pavel, 92:34075 

Talpalaru, Pavel (with Simirad, Constantin) Estimates for the solutions of a certain 
differential equation of neutral type. (Romanian summary) 92f:34075 

Wang, Ke! Periodic solutions of neutral Volterra integral differential equations with infinite 
delay. 92h:34157 

Wang, Zhi Cheng! (with Qian, Xiang Zheng; Yu, Jian She) Oscillation criteria for solutions 
to neutral differential equations with mixed arguments. (Chinese. English summary) 
92a:34089 

Wei, Jun Jie Oscillation of linear neutral difference-differential equations with variable 
coefficients. (Chinese) 92e:34113 

Wu, Jian Hong (with Freedman, H. I.) Monotone semiflows generated by neutral 
functional-differential equations with application to compartmental systems. 92j:34141 

Yu, Jian She see Wang, Zhi Cheng'; et al., 92a:34089 

Zhang, Bing Gen Forced oscillations of equations of neutral type. (Chinese) 

Zhang, Yi! (with Zhang, Yi*) Periodic solutions to second-order linear neutral differential 
equations with constant coefficients. (Chinese) 

Zhang, Yi? see Zhang, Yi’; et al. 


Items with secondary classifications in 34K40 

Bainov, Drumi D. (with Myshkis, A. D.; Zakhariev, Andrei) Necessary and sufficient 
conditions for oscillation of the solutions of linear functional-differential equations of 
neutral type with distributed delay. 92¢:34084 

Bartsch, Thomas (with Mawhin, Jean L.) The Leray-Schauder degree of S'-equivariant 
operators associated to autonomous neutral equations in spaces of periodic functions. 
92e:58029 

Bilchev, Svetoslav I. (with Grammatikopoulos, Myron K.; Stavroulakis, I. P.) Oscillations 
of higher order neutral differential equations. 92k:34089 

Boese, F.G. Delay-independent stability of a special sequence of neutral difference- 
differential equations with one delay. 92:34071 

Chang, K. W. (with Gao, Rui Jia) Perturbations of nonlinear functional equations of 
neutral type. 92d4:34132 

Chen, Shao Zhu (with Huang, Qing Guang) Necessary and sufficient conditions for the 
oscillations of solutions to systems of neutral functional-differential equations. 92e:34087 

— see also Huang, Qing Guang, 92a:34073 

Chen, Zheng Yi (with Yu, Jian She) Oscillation of solutions and asymptotic behavior of 
nonoscillatory solutions to second-order equations of neutral type. (Chinese. English 
summary) 92h:34132 

Cheng, Jun Ping (with Li, Zhi Yong) The sufficient and necessary conditions of uncondi- 
tional stability and the delay bound of the third-order neutral delay differential equation. 
(Chinese. English summary) 92i:34102 

Cheng, Yuan Ji Oscillation criteria for higher-order functional-differential equation of 
mixed type. 92e:34089 

Chernetskaya, L. N. see Martynyuk, A. A.; et al., 92k:76038 

Cui, Bao Tong Stability of neutral systems. (Chinese. English summary) 92a:34085 

Dahiya, R.S. see Tantawy, A. S., 92a:34081 

Dolgii, Yu. F. (with Plastinin, N. V.) Asymptotics of the eigenvalues of the monodromy 
operator for periodic systems of differential equations with deviating argument of neutral 
type. (Russian) 92i:34093 

Feldstein, Alan see Kuang, Yang, 92c:34081 





34K Functional-differential and differential-difference equations, with or without deviating arguments 


34K40 


Feng, Yue Cai Oscillation of second-order nonlinear functional-differential equations of 
neutral type. (Chinese. English summary) 

— Oscillation of second order nonlinear neutral functional-differential equation. 92h:34134 

Fu, Xi Lin see Yu, Yuan Hong, 92i:34098 

Gao, Guo Zhu Oscillations of neutral differential difference equations. 92¢:34077 

Gao, Rui Jia see Chang, K. W., 92d:34132 

Georgiou, D. A. (with Ladas, G.; Schultz, S. W.) Oscillations of neutral equations with 
variable coefficients. 92f:34061 

— (with Qian, Chuan Xi) Oscillation criteria in neutral equations of n order with variable 
coefficients. 92d:34134 

Gonzalez, Patricio Dimension of the vector space of analytic solutions of certain singular 
differential equations. 92b:34012 

, Kondalsamy (with He, Xue Zhong; Wen, Li Zhi) On a periodic neutral logistic 

equation. 92j:34127 

— (with Lalli, Bikkar S.) Necessary and sufficient conditions for “zero crossing” in 
integrodifferential equations. 92b:34078 

— On a neutral Lotka-Volterra system. 92k:92016 

— see also Zhang, Bing Gen, 92k:34100 

Graef, John R. (with Grammatikopoulos, Myron K.; Spikes, Paul W.) Asymptotic and 
oscillatory behavior of solutions of first order nonlinear neutral delay differential 
equations. 92¢:34093 

— (with Grammatikopoulos, Myron K.; Spikes, Paul W.) On the asymptotic behavior of 
solutions of a second order nonlinear neutral delay differential equation. 92e:34094 

Grammatikopoulos, Myron K. see Graef, John R.; et al., 92¢:34093; 92¢e:34094 and Bilchev, 
Svetoslav I,; et al., 92k:34089 

Grebenshchikov, B. G. Stability of stationary systems of linear differential equations of 
neutral type with delay that depends linearly on time. (Russian) 

Greiner, Giinther (with Schwarz, Manfred) Weak spectral mapping theorems for 
functional-differential equations. 92k:47079 

Grove, E. A. (with Kulenovié, M. R. S.; Ladas, G.) A Myskis-type comparison result for 
neutral equations. 92¢:34095 

Gyéri, Istvan On approximation of the solutions of delay differential equations by using 
piecewise constant arguments. 92g:34086 

— (with Wu, Jian Hong) A neutral equation arising from compartmentai systems with pipes. 
924:92017 

He, Xue Zhong Oscillatory and asymptotic properties of first-order neutral delay differential 
equations with nonpositive coefficients. (Chinese. English summary) 92j:34130 

— see also Gopalsamy, Kondalsamy; et al., 92j:34127 

Huang, Qing Guang (with Chen, Shao Zhu) Oscillation of neutral differential equations 
with periodic coefficients. 92a:34073 

— see also Chen, Shao Zhu, 92¢:34087 

Jackiewicz, Z. (with Lo, E.) The numerical solution of neutral functional-differential 
equations by Adams predictor-corrector methods. 

— (with Kwapisz, Marian) The numerical solution of functional-differential equations, a 
survey. 92i:65195 

Jaro’, Jaroslav On characterization of oscillations in first-order linear neutral differential 
equations. 92h:34137 

— An oscillation test for a class of linear neutral differential equations. 92h:34138 

Khusainov, D. Ya. Estimates for the stability of solutions of systems of functional- 
differential equations of neutral type. (Russian. Ukrainian summary) 92k:34102 

Kuang, Yang On neutral delay logistic Gause-type predator-prey systems. 92h:34147 

— (with Feldstein, Alan) Boundedness of solutions of a nonlinear nonautonomous neutral 
delay equation. 92c:34081 

— Qualitative analysis of one- or two-species neutral delay population models. 92m:34160 

Kulenovi¢, M. R.S. see Grove, E. A.; et al., 92e:34095 

Kwapisz, Marian see Jackiewicz, Z., 92i:65195 

Ladas, G. (with Qian, Chuan Xi) Linearized oscillations for even-order neutral differential 
equations. 92g:34096 

— (with Qian, Chuan Xi; Yan, Ju Rang) Oscillations of higher order neutral differential 
equations. 92k:34094 

— see also Qian, Chuan Xi, 92d:34141; Grove, E. A.; et al., 92e:34095 and Georgiou, D. A.; et 
al., 92f:34061 

Lalli, Bikkar S. (with Zhang, Bing Gen) Oscillation of first order neutral differential 
equations. 92a:34076 

— see also Gopalsamy, Kondalsamy, 92b:34078 

Li, Guang Hua’ Existence criteria for nonoscillating solutions to a certain class of neutral 
equations. (Chinese. English summary) 924:34138 

— Existence criteria for nonoscillation solutions to varying deviating neutral equations. 
(Chinese. English summary) 92m:34161 

Li, Li Ming Stationary oscillation for higher-dimensional functional-differential systems. 
(Chinese) 92¢:34099 

Li, Zhi Yong see Cheng, Jun Ping; et al., 92i:34102 

Lo, E. see Jackiewicz, Z. 

Lu, Wu Du Necessary and sufficient condition for oscillations of neutral differential 
equations. 92¢:34078 

— Oscillations of high order neutral differential equations with oscillatory coefficient. 
924d:34139 

Ma, Wan Biao see Si, Li Geng; et al., 92c:34089 

Martynyuk, A. A. (with Obolenskii, A. Yu.; Chernetskaya, L. N.) Stability of complex 
hydrodynamic systems (a survey). (Russian. English summary) 92k:76038 

Mawhin, Jean L. see Bartsch, Thomas, 92e:58029 

Metel’skii, A. V. Pointwise completeness of functional-differential equations. (Russian) 
92h:34128 

Myshkis, A. D. see Bainov, Drumi D.; et al., 92e:34084 

Obolenskii, A. Yu. see Martynyuk, A. A.; et al., 92k:76038 

Plastinin, N. V. see Dolgii, Yu. F., 92i:34093 

Qian, Chuan Xi (with Ladas, G.) Oscillations of higher order neutral differential equations 
with variable coefficients. 92d:34141 

— see also Georgiou, D. A., 92d:34134; Ladas, G., 92g:34096 and 92k:34094 

Qian, Xiang Zheng Necessary and sufficient conditions for oscillations in a class of neutral 





34K40 


differential equations. (Chinese. English summary) 92b:34087 

— (with Yu, Jian She) Oscillation criteria for solutions to nonlinear neutral differential 
equations of second order. (Chinese. English summary) 92m:34164 

Ruan, Shi Gui Oscillations for first order neutral differential equations with variable 
coefficients. 92a:34079 

Schultz, S. W. see Georgiou, D. A.; et al., 92f:34061 

Schwarz, Manfred see Greiner, Giinther, 92k:47079 

Serra, Enrico Periodic solutions for some nonlinear differential equations of neutral type. 
92m:34165 

Shi, Lei Boundness and periodicity of solutions of neutral functional-differential equations 
with infinite delay. 

Si, Li Geng (with Ma, Wan Biao) Stability of functional-differential equations of super- 
neutral type and their applications. (Chinese. English summary) 92c:34089 

— (with Ma, Wan Biao) A study on stability of time-delay differential equations of neutral 
type. (Chinese. English summary) 

Spikes, Paul W. see Graef, John R.; et al., 92e:34093 and 92e:34094 

Stavroulakis, I. P. see Bilchev, Svetoslav 1; et al., 92k:34089 

Tantawy, A.S. (with Dahiya, R. S.) Oscillation of even order neutral delay differential 
equations. 92a:34081 

Wang, Huan Chen see Wu, Chong Feng; et al., 92h:34151 

Wang, Kai Xun Osciliation of a class of odd-order nonlinear neutral equations. (Chinese. 
English summary) 92m:34167 

— Oscillation of a class of nonlinear neutral differential equations of higher order. (Chinese) 
92e:34102 

Wang, Ke! Quasi periodic solutions of neutral Volterra integral differential equations with 
infinite delay. (Chinese summary) 92g:45012 

Wang, Lian Wen Classification of nonoscillatory solutions to neutral functional-differential 
equations of higher order. (Chinese) 92i:34096 

Wang, Zhi Cheng! A necessary and sufficient condition for the oscillation of higher-order 
neutral equations with several delays. 92h:34140 

Wen, Li Zhi see Gopalsamy, Kondalsamy; et al., 92j:34127 

Weng, Pei Xuan The oscillation and asymptotic behavior of solutions to second-order 
nonlinear functional-differential equations of neutral type. (Chinese. English summary) 
92m:34168 

— Oscillations of solutions of first-order neutral differential difference equations. 92f:34069 

— Oscillation of second order neutral nonlinear functional-differential equation. 92m:34169 

Wa, Chong | Feng (with Wang, Huan Chen) A practical algebraic method for delay- 

ity of linear time-delay systems of neutral type. (Chinese) 92h:34151 

Wa, Jian Hong Uniform behaviors of solutions of neutral equations with infinite delay. II. 
92d:34144 

— Unified treatment of local theory of NFDES with infinite delay. 92h:34141 

— see also Gyiri, Istvan, 924:92017 

Wa, Xiang Bao Oscillation and asymptotic behavior of solutions to neutral differential- 
difference equations. (Chinese) 92c¢:34085 

Xie, Sheng Li A new decomposition method of C\-stability for large-scale neutral type 
systems with time-delay. (Chinese. English summary) 

Xu, Yuan Tong Necessary and sufficient conditions for oscillation of singular neutral 
functional-differential equations of higher order. (Chinese) 92i:34097 

Yan, Ju Rang Comparison theorems and applications of oscillation of neutral differential 
equations. 92f:34070 

— see also Ladas, G.; et al., 92k:34094 

Yu, Jian She Neutral time-delay differential equations with positive and negative coeffi- 
cients. (Chinese) 92m:34171 

— The oscillation of solutions to time-delay differential equations of neutral type. (Chinese. 
English summary) 92h:34143 

— see also Chen, Zheng Yi; et al., 92h:34132 and Qian, Xiang Zheng; et al., 92m:34164 

Yu, Yuan Hong (with Fu, Xi Lin) Oscillation and asymptotic behavior of certain second 
order neutral differential equations. (Serbo-Croatian summary) 92i:34098 

Zakhariev, Andrei see Bainov, Drumi D.; et al., 92e:34084 

Zhang, Bing Gen (with Gopalsamy, Kondalsamy) Oscillation and nonoscillation in higher 
order neutral equations. 92k:34100 

— see also Lalli, Bikkar S., 92a:34076 

Zhang, Wei De Asymptotic behavior of a class of first-order differential equations of neutral 
type. (Chinese. English summary) 

Zhang, Yi! see Zhang, Yi’; et al., 92c:34086 

Zhang, Yi? (with Zhang, Yi') The necessary and sufficient conditions for the existence of 
periodic solutions of a type of neutral functional-differential equations. 92c:34086 

Zhou, De Tang Oscillations of solutions to neutral functional-differential equations. 
(Chinese. English summary) 92a:34082 





t e-stabil 








34K50 Stochastic delay equations [see also 34F05, 60Hxx] 

Mao, Xue Rong Exponential stability for stochastic differential delay equations in Hilbert 
spaces. 92a:34090 

Zelentsovskii, A. L. Stability with probability 1 of solutions of systems of linear stochastic 
Ité differential-difference equations. (Russian. Ukrainian summary) 92i:34113 


Items with secondary classifications in 34K50 

Engel’son, L. E. Stability in the mean of a linear functional-differential equation with a 
random operator. (Russian. English and Latvian summaries) 92j:34135 

Nowak, Andrzej S. Nonanticipative solutions of random functional-differential equations. 
92a:34064 

Scheutzow, Michael K. R. Stationary stochastic perturbation of a linear delay equation. 
92£:60109 


Zhogal’, S. P. Stability of solutions of some stochastic complex systems with delay. 
(Russian) (see 924:00008) 


34K99 None of the above, but in this section 
Bainov, Drumi D. see Kazakova, N. G., 92b:34100 and Khristova, S. G., 92g:34110 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 528 


Driver, Bruce K. (with Driver, R. D.) Simplicity of solutions of x’(t) = bx(t— 1). 
92g:34109 

Driver, R. D. see Driver, Bruce K., 92g:34109 

Evlampiev, N. P. see Mokeichev, V. S., 92h:34158 

Kazakova, N. G. (with Bainov, Drumi D.) An approximate solution of the initial value 
problem for integro-differential equations with a deviating argument. 92b:34100 

Kedyk, T. V. (with Obolenskii, A. Yu.) On the stability with respect to two measures of 
hybrid quasimonotone extensions. (Russian. English summary) 92m:34184 

Khristova, S.G. (with Bainov, Drumi D.) Application of the monotone-iterative techniques 
of V. Lakshmikantham to the solution of the initial value problem for i 
differential equations with “supremum”. 92g:34110 

La, Lian Hua A block trapezoidal formula for delay differential equations and its stability. 
(Chinese. English summary) 924:34151 

Ma, Wan Biao see Si, Li Geng; et al., 92i:34114a and 92i:34114b 

Mokeichev, V.S. (with Evlampiev, N. P.) Solution of a differential-Q-difference equation 
on the semi-axis. (Russian) 92h:34158 

Motyl, Jerzy On the minimal solution property of neutral functional-differential inclusion. 
92m:34185 

Narita, Kazuaki Complex cubic Volterra equation. 92j:34142 

Obolenskii, A. Yu. see Kedyk, T. V., 92m:34184 

Si, LiGeng (with Ma, Wan Biao) Delay differential inequalities and their applications. 
(Chinese. English summary) 92i:34114a 

— (with Ma, Wan Biao) Nonlinear reverse delay differential inequalities and their 
applications in the theory of instability. (Chinese. English summary) 92i:34114b 





v 


Items with secondary classifications in 34K99 

Al-Bassam, M. A. On applications of fractional calculus to differential equations of special 
functions. 92m:26008 

Amick, Charles J. A problem in neural networks. 92k:34040 

Bahaguna, D. (with Pani, Amiya K.; Raghavendra, V.) Rothe’s method to semilinear 
hyperbolic integrodifferential equations. 92a:34066 

Ball, J. M. (with Carr, Jack) The discrete coagulation-fragmentation equations: existence, 
uniqueness, and density conservation. 92h:82086 

Blanco Garcia, Covadonga Periodic solutions for a delay differential equation modelling 
hematopoiesis. (Spanish) (see 92g:00024) 

Bulgakov, A. I. Continuous selections of multivalued mappings, and functional-differential 
inclusions with a nonconvex right-hand side. (Russian) 92j:54025 

Carr, Jack see Ball, J. M., 92h:82086 

Chan Khy-u Bong On the Fredholm property for linear differential operators with delay and 
with a small parameter. (Russian. Tajiki summary) 92c:47065 

Debnath, Lokenath see Wiener, Joseph, 92d:35290 

Deift, Percy see Venakides, Stephanos; et al., 92m:35242 

Ermentrout, George Bard see Kopell, N.; et al., 92m:34081 

Grin‘ko, A. P. Solution of a nonlinear differential equation with a generalized fractional 
derivative. (Russian. English summary) 92i:26011 

Herdman, Terry L. (with Turi, Janos) On the solutions of a class of integral equations 
arising in unsteady aerodynamics. 92c¢:76042 

Hildebrand, Adolf The asymptotic behavior of the solutions of a class of differential- 
difference equations. 92f:11123 

in *t Hout, Karel J. (with Spijker, Marc N.) The @-methods in the numerical solution of 
delay differential equations. (see 92e:65003) 

Ito, Kazufumi (with Tran, Hien T.; Manitius, A.) A fully-discrete spectral method for delay- 
differential equations. 92¢:65089 

Jackiewicz, Z. (with Kwapisz, Marian) The numerical solution of functional-differential 
equations, a survey. 92i:65195 

Khenkin, G. M. (with Polterovich, V.M.) Schumpeterian dynamics as a nonlinear wave 
theory. 92i:90029 

Kopell, N. (with Ermentrout, George Bard; Williams, T. L.) On chains of oscillators forced 
at one end. 92m:34081 

Kozhukhar’, P. A. A Hardy-type inequality and the absence of eigenvalues in an integral- 
difference operator. (Russian. English and Moldavian summaries) 92i:47062 

Kwapisz, Marian see Jackiewicz, Z., 92i:65195 

Levi, D. (with Ragnisco, O.) The inhomogeneous Toda lattice: its hierarchy and Darboux- 
Backlund transformations. 92¢:58095 

Manitius, A. see Ito, Kazufumi; et al., 92c:65089 

Martynyuk, S. V. see Samoilenko, A. M., 92i:65134 

Mascarenhas, M. Luisa I-limite d’une fonctionnelle liée 4 un phénoméne de mémoire. 
(English summary) [I’-limit of a functional associated with a memory effect phenomenon] 
924:49021 

Oba, Roger see Venakides, Stephanos; et al., 92m:35242 

Pani, Amiya K. see Bahaguna, D.; et al., 92a:34066 

Polterovich, V.M. see Khenkin, G. M., 92i:90029 

Raghavendra, V. see Bahaguna, D.; et al., 92a:34066 

Ragnisco, O. see Levi, D., 92e:58095 

Samoilenko, A. M. (with Martynyuk, S. V.) Justification of the numerical-analytic method 
of successive approximations for problems with integral boundary conditions. (Russian. 
Ukrainian summary) 92i:65134 

Slemrod, Marshall A note on the kinetic equations of coagulation. 92b:82113 

Spijker, Marc N. see in ’t Hout, Karel J., (92¢:65003) 

Suris, Yu. B. Generalized Toda chains in discrete time. (Russian) 92g:58058 

Tran, Hien T. see Ito, Kazufumi; et al., 92c:65089 

Turi, Janos see Herdman, Terry L., 92c:76042 

Venakides, Stephanos (with Deift, Percy; Oba, Roger) The Toda shock problem. 
92m:35242 J 

Vereshchagin, V. L. Spectral theory of one-phase solutions of a Volterra chain. (Russian) 
92m:58069 

Wiener, Joseph (with Debnath, Lokenath) Partial differential equations with piecewise 
constant delay. 92d:35290 

Williams, T. L. see Kopell, N.; et al., 92m:34081 





529 1992 


Zeng, Guang Da A recursive analysis of Volterra series solutions for nonlinear networks. 
(Chinese. English summary) 

Zhdanov, V. I. Convergence of iteration method in the relativistic two-body problem, taking 
into account the retardation of interactions. 92i:70034 


34Lxx Ordinary differential operators [see also 47E05] 


Items with secondary classifications in 34Lxx 


Levitan, B. M. (with Sargsyan, I. S.) * Sturm-Liouville and Dirac operators. 92i:34119 
Sargsyan, I.S. see Levitan, B. M., 92i:34119 


34L05 General spectral theory 


Baranetskii, Ya. E. A boundary value problem for operator-differential equations of even 
order. (Russian) 92d:34152 

Benammar, M. Classification of regularly solvable first-order differential operators. 
92k:34109 

Binding, P. A. (with Browne, Patrick J.) Asymptotics of eigencurves for second order 
ordinary differential equations. I. 92b:34101 

— (with Browne, Patrick J.) Asymptotics of eigencurves for second order ordinary 
differential equations. II. 92i:34115 

Browne, Patrick J. see Binding, P. A., 92b:34101 and 92i:34115 

Dement'eva, A. M. (with Krasnosel’skii, A. M.; Yumagulov, M. G.) The operator of a 
periodic problem for a first-order equation. (Russian. Tajiki summary) 92b:34102 

Doily, Ondiej Oscillation criteria and the discreteness of the spectrum of selfadjoint, even 
order, differential operators. 92h:34159 

Edmunds, David E. (with Jiong, Sun) Embedding theorems and the spectra of certain 
differential operators. 92k:34110 

Fiedler, Frank About certain fourth-order ordinary differential operators—oscillation and 
discreteness of their spectrum. 92¢:34114 

Heinz, Hans-Peter Bifurcation from the essential spectrum for nonlinear perturbations of 
Hill’s equation. 92e:34115 

Imamberdyev, B. I. On the spectral function of an ordinary differential operator of odd 
order. (Russian) 92¢:34094 

Jiong, Sun see Edmunds, David E., 92k:34110 

Krasnosel’skii, A.M. see Dement'eva, A. M.; et al., 92b:34102 

Li, Wen Ming see Shang, Zai Jiu; et al., 92h:34160 

Luzhina, L.M. Regularity of spectral problems with supplementary conditions at interior 
points. (Russian) 92j:34143 

Malamud, M. M. On transformation operators for ordinary differential equations. 
(Russian) 92£:34076 

Mantlik, Frank (with Schneider, Albert') Note on the absolutely continuous spectrum of 
Sturm-Liouville operators. 92b:34103 

Pituk, Michal Adjoint operators and boundary value problems for linear differential 
equations. 92m:34186 

Rofe-Beketov, F.S. The inverse Sturm-Liouville problem for the spectral matrix on the 
whole axis and associated problems. (see 92b:35006) 

Schneider, Albert! see Mantlik, Frank, 92b:34103 

Shang, Zai Jiu (with Li, Wen Ming) Some problems concerning J-symmetric differential 
operators. (Chinese. English summary) 92h:34160 

Yumagulov, M. G. see Dement'eva, A. M.; et al., 92b:34102 


Items with secondary classifications in 34L05 

Abdel-Rahman, A-M. M. see El-Deberky, A. A., 92d:34053 

Acharyya, Sudip Kumar see Chakravarty, N. K., 92h:34033 

Arutyunyan, T. N. The eigenvalue function and a uniqueness theorem in an inverse problem 
for the Dirac operator with a discrete spectrum. (Russian) 92k:34113 

Barkar’,S. M. On the spectrum of a boundary value problem in the open right half-plane. 
(Russian. English and Moldavian summaries) 92i:47054 

Barskii, I. L. On the behavior of the spectrum of some linear multipoint boundary value 
problems for ordinary differential equations. (Russian) 92i:34021 

Belokolos, E. D. Spectral theory of finite-gap potentials. 92j:58082 

Berezanskii, Yu. M. Inverse problems of spectral analysis and the integration of nonlinear 
equations. 92b:58180 

Berkovich, L.M. Analogue of the Eisenstein criterion for ordinary linear differential 
operators. (Russian) 92a:13022 

Chakravarty, N. K. (with Acharyya, Sudip Kumar) On an inverse problem involving a 
second-order differential system. 92h:34033 

Chojnacki, Wojciech Eigenvalues of almost periodic Schrodinger operators in L?(bR) are at 
most double. 92h:47064 

Danielyan, A. A. (with Levitan, B. M.) Asymptotic behavior of the Weyl-Titchmarsh m- 
function. (Russian) 924:34056 

Dubrovskii, V. V. Regularized trace formulas for operators with compact resolvent. 
(Russian) 92a:47002 

El-Deberky, A. A. (with Abdel-Rahman, A-M. M.) On the limit-2 of fourth order 
differential expression. (Arabic summary) 924:34053 

Everitt, W. Norrie (with Littlejohn, L. L.; Williams, Stanley Carl) The left-definite Legendre 
type boundary problem. 92h:34061 

Frentzen, Hilbert Limit-point criteria for not necessarily symmetric ordinary differential 
expressions. 924:34054 

Fu, Shou Zhong Extension problems for differential operators in direct sum spaces—J- 
selfadjoint problems in direct sum spaces. II. (Chinese. English summary) 92h:47066 

Gorbachuk, M. L. see Gorbachuk, V. I., 92m:34133 

Gorbachuk, V. I. (with Gorbachuk, M. L.) * Boundary value problems for operator 
differential equations. 92m:34133 

Gordon, A. Ya. A deterministic potential with a purely point spectrum. (Russian) 
92b:34104 

Harris, B. J. A note on the asymptotic series associated with a certain Titchmarsh-Weyl m- 
function. 


34L Ordinary differential operators 


34L10 


Johnson, Russell Cantor spectrum for the quasi-periodic Schrédinger equation. 92i:34118 

Kalenyuk, P.I. (with Nitrebich, Z. N.) A multiparameter analogue of the M. V. Keldysh 
system that determines chains of eigen- and associated vectors of operator pencils 
associated with operator-differential equations. (Russian) 92¢:47018 

Kesel'man, G. M. Regularized traces of a second-order functional-differential operator. 
(Russian) 92b:47078 

Khryashchév, S. V. Discrete spectrum for a periodic Schroedinger operator perturbed by a 
decreasing potential. 92f:34078 

Kozhukhar’, P. A. Point spectrum of singular nonselfadjoint differential operators. 
(Russian) 92j:47089 

Krall, Allan M. Direct decomposition of M(A) matrices for Hamiltonian systems. 
92d:34055 

Levitan, B. M. see Danielyan, A. A., 92d:34056 

Littlejohn, L. L. see Everitt, W. Norrie; et al., 92h:34061 

Livinskii, V. A. The differential operators of a string. (Russian) 92e:47083 

Lokutsievskaya, E.O. The structure of the spectrum of the Schrédinger operator with 
quasiperiodic potential near the ground state. The discrete and the continuous case. 
(Russian. English summary) 92h:34161 

Magerramov, A.M. see Maksudov, F. G.; et al., 92a:47055 

Maksudov, F.G. (with Magerramov, A. M.; Mamedov, M. Z.) Spectral analysis of pencils 
of differential operators of special type. (Russian) 92a:47055 

Mamedov, M. Z. see Maksudov, F. G.; et al., 92a:47055 

Mantlik, Frank On a conjecture of J. Weidmann. 924:34159 ; 

McLaughlin, Joyce R. An inverse eigenvalue problem and an extremal eigenvalue problem. 
(see 92a:00040) 

Melik-Adamyan, F. E. A class of canonical differential operators. (Russian. English and 
Armenian summaries) 92a:47056 

Misyura, T. V. An asymptotic formula for Weyl solutions of Dirac equations. (Russian. 
English summary) 92g:34113 

Nitrebich, Z. N. see Kalenyuk, P. I., 92c:47018 

Pivovarchik, V.N. On the total algebraic multiplicity of the spectrum in the right half-plane 
for a class of quadratic operator pencils. (Russian) 92g:47018 

Podol'skii, V. E. Reconstruction of the Sturm-Liouville operator from its weighted zeta- 
function. (Russian) 924:34160 

del Rio Castillo, Rafael R. Stability of a singular continuous spectrum of Sturm-Liouville 
operators. 92k:34115 

Sakhnovich, A. L. Spectral functions of a second-order canonical system. (Russian) 
92¢:47056 

Shuster, L. A. A priori estimates for the solutions of the Sturm-Liouville equation and A. M. 
Molchanov’s criterion. (Russian) 92m:34066 

Skubachevskii, A. L. (with Steblov,G. M.) On the spectrum of differential operators with a 
domain that is not dense in L2(0, 1). (Russian) 92m:47087 

Stakun, A. A. Spectral properties of a singular differential operator. (Russian) 92c:34101 

Steblov, G. M. see Skubachevskii, A. L., 92m:47087 

Storozh, O. G. Extremal extensions of a nonnegative operator, and accretive boundary value 
problems. (Russian. Ukrainian summary) 92m:47012 

Teichert, Heidrun The structure of the spectrum of fourth-order differential operators with 
random coefficients. 92j:34114 


‘Triméche, K. Transmutation operators and mean-periodic functions associated with 


differential operators. 92¢:43004 

— Transformation intégrale de Weyl généralisée associée 4 un opérateur différentiel 
singulier sur (0,00) et probléme de radiation de Weinstein généralisé. (English summary) 
[Generalized integral Weyl transform associated with a singular differential operator on 
(0, co) and the Weinstein generalized radiation problem] 92j:46072 

Tyurin, V. M. Invertibility of linear differential operators in some function spaces. 
(Russian) 92k:47091 

Williams, Stanley Carl see Everitt, W. Norrie; et al., 92h:34061 

Yamamoto, Masahiro Inverse eigenvalue problem for a vibration of a string with viscous 
drag. 92e:34018 

Yurko, V. A. Determination of differential operators on the half-line. (Russian) 92j:47090 

Zhang, Wen Kui Oscillation and spectral analysis of generalized differential equations. 
92a:34029 


34L10 Eigenfunction expansions, completeness of eigenfunctions 


Barnovska, M. see Moiseev, E. I., 92e:34117 

Budaev, V. D. On the Bessel inequality for systems of root functions of differential 
operators. (Russian) 92j:34144 

Hinton, D. B. (with Shaw, J. K.) Differential operators with spectral parameter incom- 
pletely in the boundary conditions. 92i:34116 

Horvath, Miklés On eigenfunction expansions. 92d:34153 

IVin, Viadimir Aleksandrovich Componentwise localization principle and componentwise 
equiconvergence with a trigonometric series for expansions in root vectors of the 
Schrédinger operator with a matrix potential. (Russian) 92k:34111 

— Equiconvergence with a trigonometric series of expansions in root functions of the 
Schrédinger operator with an arbitrary summable complex-valued potential. (Russian) 
92k:34112 

Jo6, Istvan On the summation of some expansions. 92i:34117 

Loi, N. H. On the equiconvergence of the Riesz means for the functions from the class L5. 
92¢:34095 

Lomov, I. S. Properties of root functions of the Sturm-Liouville operator that are discontin- 
uous on an everywhere dense set. (Russian) 92e:34116 

Moiseev, E. I. (with Barnovska, M.) Unconditional basis property of the system of 
eigen- and associated functions for a first-order differential operator in spaces of vector 
functions. (Russian. English summary) 92e:34117 

Shaw, J. K. see Hinton, D. B., 92i:34116 

Shterengas, S.S. Riesz summability in L, of series in eigenfunctions of the Sturm-Liouville 
operator. (Russian) 924:34154 

Vagabov, A. I. On the violation of the equiconvergence of Fourier series that are connected 
with pencils of ordinary differential operators, and of trigonometric series. (Russian) 





34L10 


924:34155 


Items with secondary classifications in 34L10 


Abdalla, H. A. see Mohamed, M. 1.; et al., 92:34013 

Avdonin, S. A. (with Ivanov, S. A.; Jo6, Istvan) On Riesz bases from vector exponentials. I, 
II. 92m:42034 

Baranetskii, Ya. E. A boundary value problem for operator-differential equations of even 
order. (Russian) 924:34152 

— (with Kalenyuk, P.1I.) Multiparametric nonlocal spectral problems for operator- 
differential equations. (Russian) 92b:47026 

Dolgii, Yu. F. (with Plastinin, N. V.) Asymptotics of the eigenvalues of the monodromy 
operator for periodic systems of differential equations with deviating argument of neutral 
type. (Russian) 92i:34093 

Elsawi, A. see Mohamed, M. I.; et al., 92f:34013 

Everitt, W. Norrie (with Littlejohn, L. L.; Williams, Stanley Carl) The left-definite Legendre 
type boundary problem. 92h:34061 

Geymonat, Giuseppe (with Grisvard, Pierre) Expansions on generalized eigenvectors of 
operators arising in the theory of elasticity. 92j:34115 

Gomilko, A. M. (with Radzievskii,G. V.) Basis properties of eigenfunctions of a regular 
boundary value problem for a vector functional-differential equation. (Russian) 
92£:34058 

— (with Radzievskii, G. V.) Equiconvergence of series in eigenfunctions of ordinary 
functional-differential operators. (Russian) 92f:47054 

— (with Radzievskii, G. V.) Equivalence in L,[0, 1] of the system e'2*** (k = 0,+1,---) and 
the system of eigenfunctions of an ordinary functional-differential operator. (Russian) 
92m:34151 

Gorbachuk, M. L. see Gorbachuk, V. I., 92m:34133 

Gorbachuk, V.1I. (with Gorbachuk, M. L.) * Boundary value problems for operator 
differential equations. 92m:34133 

Grisvard, Pierre see Geymonat, Giuseppe, 92j:34115 

Hala, Martin Asymptotic normality of eigenvalues of random ordinary differential 
operators. (Czech summary) 92g:60088 

Inayat-Hussain, A. A. Mathieu integral transforms. 92b:35043 

Ivanov, S. A. see Avdonin, S. A.; et al., 92m:42034 

Izvekov, I.G. The localization principle for expansions of generalized functions in 
eigenfunctions of the Sturm-Liouville operator on a finite interval. (Russian. Ukrainian 
summary) 92e:34121 

Jo6, Istvan On the divergence of eigenfunction expansions. 92d:47030 

— see also Avdonin, S. A.; et al., 92m:42034 

Kalenyuk, P.I. see Baranetskii, Ya. E., 92b:47026 

Kopylov, V. I. The Dirac system in a space with an indefinite metric. (Russian) 92j:47088 

Kritskov, L. V. The unconditional basis property for systems of root functions of the one- 
dimensional singular Schrédinger operator. (Russian) 92j:34145 

Langer, Heinz (with Schneider, Albert') On spectral properties of regular quasidefinite 
pencils F — AG. 924:47017 

Lin, Zhong Yan An estimate for the rate of convergence of expansions in a basis of 
eigenfunctions of a Sturm-Liouville operator of second order. (Chinese. English 
summary) 92f:34019 

Littlejohn, L. L. see Everitt, W. Norrie; et al., 92h:34061 

Lomov, I.S. The basis property of root vectors of loaded second-order differential operators 
on an interval. (Russian) 92g:47070 

Mohamed, M. I. (with Abdalla, H. A.; Elsawi, A.) Two-point boundary value problem with 
eigenvalue parameter contained in the boundary conditions. 92f:34013 

Moshinskii, A. I. Some integral expansions of an arbitrary function in Legendre function. 
(Russian) 92f:33014 

Orudzhev, E.G. Boundary value problems for a fourth-order differential equation that 
depends polynomially on the spectral parameter. (Russian. English and Azerbaijani 
summaries) 92f:34014 

Plastinin, N. V. see Dolgii, Yu. F., 92i:34093 

Radzievskii, G. V. see Gomilko, A. M., 92£:34058; 92f:47054 and 92m:34151 

Schneider, Albert! see Langer, Heinz, 92d:47017 

Stepin, S. A. Spectral analysis of a singular boundary value problem that models the 
vibrations of the atmosphere. (Russian) 92f:34020 

— The vertical structure of vibrations in the atmosphere: double completeness of eigenfunc- 
tions of the problem. (Russian) 92f:34021 

Thangavelu, S. Summability of Laguerre expansions. (Russian summary) 92h:33021 

Williams, Stanley Carl see Everitt, W. Norrie; et al., 92h:34061 

Xia, Ning Mao The eigenfunction expansion of the solution for the nonhomogeneous 
Sturm-Liouville problem containing white noise. 92f:34079 


34L15 Estimation of eigenvalues, upper and lower bounds 


Items with secondary classifications in 34L15 

Abramov, A. A. On the determination of the eigenvalues and eigenfunctions of a selfadjoint 
differential problem. (Russian) 92i:34019 

Abramovich, Shoshana The gap between the first two eigenvalues of a one-dimensional 
Schrédinger operator with symmetric potential. 92f:34077 

Almamedov, M.S. (with Bairamogly, M.; Katanova, V.1I.) Trace formulas for an even-order 
differential equation with an unbounded operator coefficient. (Russian) 92i:47052 

— (with Katanova, V.I.) Regularization of the trace of a higher-order differential operator 
with a bounded operator coefficient. (Russian) 92i:47053 

Ashbaugh, Mark S. (with Svirsky, Roman) Periodic potentials with minimal energy bands. 
92¢:34097 

Bairamogly, M. see Almamedov, M. S.; et al., 92i:47052 

Katanova, V.I. see Almamedov, M. S.; et al., 92i:47052 and 92i:47053 

Lomovtsev, F. E. The Cauchy problem for second-order hyperbolic differential equations 


with a variable domain of the operator coefficients. (Russian. English summary) 
92¢:34081 


ORDINARY DIFFERENTIAL EQUATIONS 


1992 530 


Marz, Christoph Spectral asymptotics for Hill’s equation near the potential maximum. 
92¢e:34122 

Svirsky, Roman see Ashbaugh, Mark S., 92c:34097 

Yuan, Xiao Ping Regular Sturm-Liouville problems under mixed selfadjoint boundary 
conditions. (Chinese. English summary) 92h:34062 


34L20 Asymptotic distribution of eigenvalues, asymptotic theory 
of eigenfunctions 


Brander, O. Some asymptotic results on coherent-state matrix elements. (see 92a:00040) 

Lezcano Rodriguez, Luis Enrique A distribution formula for the eigenvalues of the Sturm- 
Liouville operator. (Spanish. English summary) 92¢:34096 

Pych-Taberska, Paulina On the rate of convergence of Sturm-Liouville expansions. (Russian 
summary) 92¢e:34118 

Sobolev, Aleksandr Vladimirovich Weyl asymptotics for the discrete spectrum of the 
perturbed Hill operator. (see 92g:35153) 


Items with secondary classifications in 34L20 


Arkhipov, V. P. Asymptotic representations of solutions of second-order degenerate 
differential equations. (Russian) 92¢e:34071 

(Birman, M. Sh.) see Estimates and asymptotics for discrete spectra of integral and 
differential equations, 92g:35153 

Borovikov, V. A. The Sturm-Liouville problem with gular asymp 
eigenvalues. (Russian) 92m:34065 

Cohen, J. (with Slavyanov, S. Yu.) Quasiclassical asymptotics of the spectrum for lower 
states of an anharmonic oscillator. (Russian) 92k:81035 

Slavyanov, S. Yu. see Cohen, J., 92k:81035 





ics of the 








Items listed otherwise than by author 


Estimates and asymptotics for discrete spectra of integral and differential equations 
* Estimates and asymptotics for discrete spectra of integral and differential equations. 
92g:35153 

Leningrad * Estimates and asymptotics for discrete spectra of integral and differential 
equations. 92g:35153 

Seminar: 
Mathematical Physics * Estimates and asymptotics for discrete spectra of integral and 

differential equations. 92g:35153 


34L25 Scattering theory 


Anders, I. A. (with Kotlyarov, V. P.) Characterization of scattering data for Schrédinger 
and Dirac operators. (Russian. English summary) 92m:34187 

Atkinson, D. Reflection coefficients and poles. 92g:34111 

Babasyan, S. V. An inverse scattering problem for higher-order differential operators on a 
half-line. (Russian. English and Armenian summaries) 92¢:34119 

Deift, Percy (with Zhou, Xin) Direct and inverse scattering on the line with arbitrary 
singularities. 92g:34112 

— Inverse scattering on the line—an overview. (see 92d:00026) 

Fokas, Athanassios S. see Sung, Li-Yeng, 92d:34157 

Khasanov, A. B. The inverse scattering problem for a perturbed finite-gap Sturm-Liouville 
operator. (Russian) 92e:34120a 

— The inverse scattering problem for a perturbed finite-gap Sturm-Liouville operator. 
(Russian) 92e:34120b 

Kotlyarov, V. P. see Anders, I. A., 92m:34187 

Marchenko, V. A. The Cauchy problem for the KdV equation with nondecreasing initial 
data. 92d:34156 

Sung, Li-Yeng (with Fokas, Athanassios S.) Inverse problem for N x N hyperbolic systems 
on the plane and the N-wave interactions. 92d:34157 

Zhou, Xin see Deift, Percy, 92g:34112 


Items with secondary classifications in 34L25 

Ablowitz, Mark J. see Villarroel, Javier, 92k:58130 

Aktosun, Tuncay (with Klaus, Martin; van der Mee, C. V. M.) Inverse scattering in 1-D 
nonhomogeneous media and recovery of the wave speed. 92m:81300 

Athorne, Chris see Liu, Qing Ping, 92g:58052 

Baev, A. V. Solution of inverse problems of dissipative scattering theory. (Russian) 
92a:35159 

Beals, Richard (with Sattinger, D. H.) On the complete integrability of completely 
integrable systems. 92m:58051 

Bogolyubov, N.N., Jr. (with Prikarpat-skii, A. K.) A bilocal periodic problem for Sturm- 
Liouville and Dirac operators, and some applications in the theory of nonlinear 
dynamical systems. I. (Russian. Ukrainian summary) 92a:58059 

Brander, O. Some asymptotic results on coherent-state matrix elements. (see 92a:00040) 

Chen, X. A. (with Zhang, Wen Xun) Differential operator method for one-dimensional 
inverse scattering problems. 

Dubrovskii, V.G. see Konopel’chenko, B. G., 92k:35244 

Frangos, Panayiotis V. (with Jaggard, Dwight L.) Analytical and numerical solution to the 
two-potential Zakharov-Shabat inverse scattering problem. 

Frenkin, A. R. see Gostev, V. B., 92j:81027 

Geng, Xian Guo A quintic Hamiltonian system that generates the reflectionless potential of 
the Jaulent-Miodek equation. (Chinese) 92d:35277 

Gesztesy, F. (with Schweiger, W.; Simon, Barry) Commutation methods applied to the 
mKdV-equation. 92b:35132 

Gostev, V. B. (with Frenkin, A. R.) An oscillator with a centrifugal barrier. The inverse 
problem. (Russian. English summary) 92j:81027 

Jaggard, Dwight L. see Frangos, Panayiotis V. 

(Khalilov, F. A.) see Liu, Qing Ping, 92g:58052 

Khristov, E. Kh. see Zhidkov, E. P., 92i:58145 

(Khruslov, E. Ya.) see Liu, Qing Ping, 92g:58052 





531 1992 


Khuri, N. N. Inverse scattering revisited: explicit solution of the Marchenko-Martin 
method. 92a:81218 

— Entire functions and potentials: zeros of the zeta function as redundant poles. 92b:81214 

Kirst, Th. Inverse scattering, output kernels, and Jost solutions. 92d4:81146 

Klaus, Martin see Aktosun, Tuncay; et al., 92m:81300 

(Kocherga, O. D.) see Sitenko, A. G., 92e:81279 

Konopelchenko, B. G. Inverse spectral transform for the (2 + 1)-dimensional Gardner 
equation. 92h:35211 

— (with Dubrovskii, V.G.) Inverse spectral transform for the modified Kadomtsev- 
Petviashvili equation. 92k:35244 

(Lazarov, Raicho D.) see Integral equations and inverse problems, 92b:35006 

Liu, Qing Ping (with Athorne, Chris) Comment on: “Matrix generalisation of the modified 
Korteweg-de Vries equation” [Inverse Problems 6 (1990), no. 2, 193-204; MR 91d:58093] 
by F. A. Khalilov and E. Ya. Khruslov. 92g:58052 

Ma, Zhong Qi Generalized Levinson’s theorem. (see 92b:58002) 

van der Mee, C. V. M. see Aktosun, Tuncay; et al., 92m:81300 

Melnikov, V. K. Integration of the nonlinear Schroedinger equation with a self-consistent 
source. 92b:35145 

Mishev, Yordan Perrov Crum-Krein transforms and A-operators for radial Schrodinger 
equations. 92b:34105 

(Petkov, Vesselin M.) see Integral equations and inverse problems, 92b:35006 

(Pontecorvo, G.) see Zakhar’ev, B. N., 92d:81142 

Prikarpat-skii, A. K. see Bogolyubov, N. N., Jr., 92a:58059 

Sabatier, Pierre C. Spectral transform for nonlinear evolution equations with N space 
dimensions. 

Sakhnovich, L. A. A hyperbolic sine-Gordon equation. (Russian) 92i:35111 

Sattinger, D. H. see Beals, Richard, 92m:58051 

Schweiger, W. see Gesztesy, F.; et al., 92b:35132 

Simon, Barry see Gesztesy, F.; et al., 92b:35132 

Sitenko, A. G. * Scattering theory. 92e:81279 

Snieder, Roel An extension of Backus-Gilbert theory to nonlinear inverse problems. 
32g:65066 

Suz’‘ko, A. A. see Zakhar'ev, B. N., 92d:81142 

Villarroel, Javier (with Ablowitz, Mark J.) On the Hamiltonian formalism for the Davey- 
Stewartson system. 92k:58130 

Yurko, V. A. Integration of the Boussinesq equation on the half-line. (Russian) 92i:35102 

— Solution of the Boussinesq equation on the half-line by the inverse problem method. 
92m:35225 

Zakhar'ev, B. N. (with Suz‘ko, A. A.) * Direct and inverse problems. 924:81142 

Zhang, Bing-Yu Unique continuation for the Korteweg-de Vries equation. 92k:35252 

Zhang, Wen Xun see Chen, X. A. 

Zhidkov, E. P. (with Khristov, E. Kh.) Spectral problems of mathematical physics related 
to nonlinear equations of the KdV type. (Russian. English summary) 92i:58145 


Items listed otherwise than by author 
Conference: 
Integral Equations and Inverse Problems * Integral equations and inverse problems. 
92b:35006 
Integral equations and inverse problems * Integral equations and inverse problems. 
92b:35006 
Varna * Integral equations and inverse problems. 92b:35006 


34L40 Particular operators (Dirac, one-dimensional Schrédinger, 
etc.) 


Abramovich, Shoshana The gap between the first two eigenvalues of a one-dimensional 
Schrédinger operator with symmetric potential. 92f:34077 

Arutyunyan, T. N. The eigenvalue function and a uniqueness theorem in an inverse problem 
for the Dirac operator with a discrete spectrum. (Russian) 92k:34113 

Ashbaugh, Mark S. (with Svirsky, Roman) Periodic potentials with minimal energy bands. 
92¢:34097 

Bagrov, V.G. (with Shapovalov, A. V.; Shirokov, I. V.) Generation of new exactly solvable 
potentials for the nonstationary Schrédinger equation. (Russian. English summary) 
92m:34188 

Eremin, M.S. On the spectral matrix of the Sturm-Liouville equation with an impurity 
potential that is bounded on the line. (Russian) 92c:34098 

Frolov, S. V. see Pavlov, B. S., 92m:34189 

Gordon, A. Ya. A deterministic potential with a purely point spectrum. (Russian) 
92b:34104 

Hagan, Patrick S. (with Ockendon, J. R.) Half-range analysis of a counter-current 
separator. 92k:34114 

Izvekov, I.G. The localization principle for expansions of generalized functions in 
eigenfunctions of the Sturm-Liouville operator on a finite interval. (Russian. Ukrainian 
summary) 92¢:34121 

Johnson, Russell Cantor spectrum for the quasi-periodic Schrédinger equation. 92i:34118 

Khryashchév, S. V. Discrete spectrum for a periodic Schroedinger operator perturbed by a 
decreasing potential. 92f:34078 

Kritskov, L. V. The unconditional basis property for systems of root functions of the one- 
dimensional singular Schrédinger operator. (Russian) 92j:34145 

Levitan, B. M. (with Sargsyan, I. S.) * Sturm-Liouville and Dirac operators. 92i:34119 

Linden, Hansjorg Leighton’s bounds for Sturm-Liouville eigenvalues with eigenvalue 
parameter in the boundary conditions. 924:34158 

Lokutsievskaya, E.O. The structure of the spectrum of the Schrédinger operator with 
quasiperiodic potential near the ground state. The discrete and the continuous case. 
(Russian. English summary) 92h:34161 

Mantlik, Frank On a conjecture of J. Weidmann. 924:34159 

Ma§rz, Christoph Spectral asymptotics for Hill’s equation near the potential maximum. 
92e:34122 

Mishev, Yordan Perrov Crum-Krein transforms and A-operators for radial Schrodinger 
equations. 92b:34105 


34L Ordinary differential operators 


34L40 


Misyura, T. V. An asymptotic formula for Weyl solutions of Dirac equations. (Russian. 
English summary) 92g:34113 

Novitskii, M. V. On a complete description of the principal discrete series of spectral 
invariants of the Hill operator. (see 92c:00015) 

Ockendon, J.R. see Hagan, Patrick S., 92k:34114 

Pastur, L. A. (with Tkachenko, Vadim Aleksandrovich) An inverse problem for a class 
of one-dimensional Schrédinger operators with complex periodic potential. (Russian) 
92¢:34099 

Pavlov, B.S. (with Frolov, S. V.) Spectral identities for the zone spectrum in the one- 
dimensional case. (Russian. English summary) 92m:34189 

Peng, Qing Zhi (with Wang, Xin Dong; Zeng, Jin Yan) Analytic solution to the Schrédinger 
equation with a harmonic oscillator potential plus d-potential. 92j:34146 

Pivovarchik, V. N. The Sturm-Liouville problem with a potential linear in spectral 
parameter. (see 92c:00015) 

Podol'skii, V. E. Reconstruction of the Sturm-Liouville operator from its weighted zeta- 
function. (Russian) 924:34160 

del Rio Castillo, Rafael R. Singular spectrum of Sturm-Liouville operators under local 
perturbations. 92¢:34100 

— Stability of a singular continuous spectrum of Sturm-Liouville operators. 92k:34115 

Sargsyan, I. S. see Levitan, B. M., 92i:34119 

Shapovalov, A. V. see Bagrov, V. G.; et al., 92m:34188 

Shirokov, I. V. see Bagrov, V. G.; et al., 92m:34188 

Simbirskii, M. N. The inverse Sturm-Liouville problem for almost periodic potentials with 
positive Fourier exponents. (Russian. English summary) 92¢:34123 

Singh, Shambhoo Nath On a second order matrix differential operator. 

Stakun, A. A. Spectral properties of a singular differential operator. (Russian) 92c:34101 

Stolz, Giinter On the absolutely continuous spectrum of perturbed Sturm-Liouville 
operators. 92d:34161 

Svirsky, Roman see Ashbaugh, Mark S., 92c:34097 

Syroid, I.-P. P. On the discrete spectrum of the one-dimensional Dirac operator. (Russian) 
(see 92g:47001) 

Tkachenko, Vadim Aleksandrovich see Pastur, L. A., 92c:34099 

Wang, Xin Dong see Peng, Qing Zhi; et al., 92j:34146 

Xia, Ning Mao The eigenfunction expansion of the solution for the nonhomogeneous 
Sturm-Liouville problem containing white noise. 92f:34079 

Zahreddine, Z. Reducibility of second order differential operators with complex coefficients. 
92d:34162 

Zakharevich, I. S. Spectral problems for the Sturm-Liouville equation with a parameter. 
The geometry of finite-gap potentials. (Russian) 92h:34162 

Zeng, Jin Yan see Peng, Qing Zhi; et al., 92j:34146 


Items with secondary classifications in 34L40 

Abdalla, H. A. see Mohamed, M. L.; et al., 92f:34013 

Abdel-Rahman, A-M. M. see El-Deberky, A. A., 924:34053 

Aliev, I. V. see Maksudov, F. G., 92m:34135 

Arriola, E.R. (with Zarzo, A.; Dehesa, J. S.) Spectral properties of the biconfluent Heun 
differential equation. 92i:34033 

Athorne, Chris (with Nimmo, J. J.C.) Darboux theorems and factorization of second- and 
third-order ordinary differential operators. 92j:34014 

Atkinson, D. Reflection coefficients and poles. 92g:34111 

Borovikov, V. A. The Sturm-Liouville problem with nonregular asymptotics of the 
eigenvalues. (Russian) 92m:34065 

Brazel, Neal (with Lawless, Fiona; Wood, Alastair D.) Exponential asymptotics for an 

ig lue of a p involving parabolic cylinder functions. 92g:34027 

Brown, B. Malcolm (with Kirby, V. G.; Pryce, John D.) A numerical method for the 
determination of the Titchmarsh-Weyl m-coefficient. 92j:34047 

Buffoni, Boris Discrete spectrum of perturbed Dirac systems with real and periodic 
coefficients. 92¢:47079 

Buslaev, V.S. (with Dmitrieva, L. A.) Bloch electrons in an external electric field. 
92g:81037 

Carmona, René (with Lacroix, Jean) * Spectral theory of random Schrédi 
92k:47143 

Castellanos Pena, René see Lépez Vidaurreta, Jorge; et al., 92d:34058 

Chojnacki, Wojciech Eigenvalues of almost periodic Schrodinger operators in L?(bR) are at 
most double. 92h:47064 

Chulaevskii, V. A. (with Sinai, Ya. G.) The exponential localization and structure of the 
spectrum for 1D quasi-periodic discrete Schrodinger operators. 92j:82036 

Cohen, J. (with Slavyanov, S. Yu.) Quasiclassical asymptotics of the spectrum for lower 
states of an anharmonic oscillator. (Russian) 92k:81035 

Danielyan, A. A. (with Levitan, B. M.) Asymptotic behavior of the Weyl-Titchmarsh m- 
function. (Russian) 92d:34056 

Darwish, A. A. On a singular boundary value problem with spectral parameter in the 
boundary condition. 924:34037 

Dehesa, J.S. see Arriola, E. R.; et al., 92i:34033 

Dmitrieva, L. A. see Buslaev, V. S., 92g:81037 

Dubrovskii, V.G. (with Konopel/chenko, B. G.) Coherent structures for the Ishimori 
equation. I. Localized solitons with stationary boundaries. 92f:35126 

El-Deberky, A. A. (with Abdel-Rahman, A-M. M.) On the limit-2 of fourth order 
differential expression. (Arabic summary) 924:34053 

Elsawi, A. see Mohamed, M. L.; et al., 92£:34013 

Everitt, W. Norrie (with Littlejohn, L. L.; Williams, Stanley Carl) The left-definite Legendre 
type boundary problem. 92h:34061 

Exner, Pavel Bound states and resonances in quantum wires. 92h:82143 

Farid, F.O. Spectral properties of perturbed linear operators and their application to 
infinite matrices. 92b:47017 

Fassari, Silvestre On the bound states of nonrelativistic Krénig-Penney Hamiltonians with 
short range impurities. 92h:81035a 

— On the bound states of relativistic Krénig-Penney Hamiltonians with short range 
impurities. 92h:81035b 








S" v 





34L40 


Fiedler, Frank About certain fourth-order ordinary differential operators—oscillation and 
discreteness of their spectrum. 92¢:34114 

Fitouhi, A. (with Hamza, M. M.) A uniform expansion for the eigenfunction of a singular 
second-order differential operator. 92a:33006 

Gasymov, M. G. (with Guseinov, I. M.; Nabiev, I. M.) An inverse problem for the Sturm- 
Liouville operator with nonseparable selfadjoint boundary conditions. (Russian) 
92b:34027 

Gonchar, A. A. (with Novikova, N. N.; Khenkin, G. M.) Multipoint Padé approximants in 
an inverse Sturm-Liouville problem. (Russian) 92j:34030 

Guillot, J.-C. (with Ralston, James V.) Inverse spectral theory for a singular Sturm- 
Liouville operator on [0, 1]. 924:34029 

Guseinov, I. M. see Gasymov, M. G.; et al., 92b:34027 

Hala, Martin Asymptotic normality of eigenvalues of random ordinary differential 
operators. (Czech summary) 92g:60088 

Hamza, M. M. see Fitouhi, A., 92a:33006 

Han, Sung S. (with Kwon, Kil H.) Spectral analysis of Bessel polynomials in Krein space. 
92g:49031 

Horvath, Miklés On eigenfunction expansions. 924:34153 

Hughes, J.B. A homomorphic transformation for eigenfunctions of the Sturm Liouville 
differential operator. 924:34057 

Ibragimov, E. Ch. see Yakubov, S. Ya., 92m:47088 

IVin, Vladimir Aleksandrovich Componentwise localization principle and componentwise 
equiconvergence with a trigonometric series for expansions in root vectors of the 
Schrédinger operator with a matrix potential. (Russian) 92k:34111 

— Equiconvergence with a trigonometric series of expansions in root functions of the 
Schrédinger operator with an arbitrary summable complex-valued potential. (Russian) 
92k:34112 

Kappeler, Thomas Fibration of the phase space for the Korteweg-de Vries equation. (French 
summary) 92k:58212 

Khasanov, A. B. The inverse scattering problem for a perturbed finite-gap Sturm-Liouville 
operator. (Russian) 92¢:34120a 

— The inverse scattering problem for a perturbed finite-gap Sturm-Liouville operator. 
(Russian) 92e:34120b 

Khenkin, G. M. see Gonchar, A. A.; et al., 92j:34030 

Kirby, V.G. see Brown, B. Malcolm; et al., 92j:34047 

Kirsch, Werner (with Molchanov, S. A.; Pastur, L. A.) The one-dimensional Schrédinger 
operator with unbounded potential: the pure point spectrum. (Russian) 92¢:47080 

Kitoroage, D. I. (with Konyukhova, N. B.; Pariiskii, B. S.) %* MogudumuposaHHiit MeTos, 
ba30BbIx *byHKUH B CHHIYIAPHBIX 3a,a4aX KBAHTOBOM (U3HKH Ha CBAZAHHbIC COCTOAHHA 
yactuu. (Russian) [A modified method of phase functions in singular problems of 
quantum physics for bound states of particles] 92d:81027 

— (with Konyukhova, N. B.; Pariiskii, B. S.) * MeToa TpuroHoMeTpH4eckHx MaTpHI 
pelleHHA CHCTeM runeppaqHabHbIx ypaBHeHul [pequnrepa (B 3aja4ax KBAaHTOBOM :bu3HKH 
Ha CBA3AHHbIe COCTOAHHA 4YacTHU). (Russian) [The method of trigonometric matrices for 
solving systems of hyperradial Schrédinger equations (in problems of quantum physics 
for bound states of particles)] 92c:65098 

Kochubei, A. N. Selfadjoint extensions of Schroedinger operators with singular potentials. 
92e:47081 

— An operator of Schrédinger type over the p-adic number field. (Russian. English 
summary) 92e:47082 

Konopel'chenko, B. G. see Dubrovskii, V. G., 92f:35126 

Konyukhova, N. B. see Kitoroage, D. 1.; et al., 92c:65098 and 92d:81027 

Kopylov, V. I. The Dirac system in a space with an indefinite metric. (Russian) 92j:47088 

Krantz, Steven G. (with Paulsen, William H.) Asymptotic eigenfrequency distributions for 
the N-beam Euler-Bernoulli coupled beam equation with dissipative joints. 92b:73027 

Kroopnick, Allan J. L'-solutions to a class of limit point operators. 92j:34048 

Kwon, Kil H. see Han, Sung S., 92g:49031 

Lacroix, Jean see Carmona, René, 92k:47143 

Lawless, Fiona see Brazel, Neal; et al., 92g:34027 

Levitan, B. M. see Danielyan, A. A., 92d:34056 

Littlejohn, L. L. see Everitt, W. Norrie; et al., 92h:34061 

Loi, N. H. On the equiconvergence of the Riesz means for the functions from the class L5. 
92¢:34095 

Lépez Iribar, José see Lépez Vidaurreta, Jorge; et al., 92d:34058 

Lépez Vidaurreta, Jorge (with Oses Recio, Jorge; Castellanos Pena, René; Lépez Iribar, José) 
Construction of the Green function for L = d?/dx? + q and the associated discrete case. 
(Spanish. English summary) 92d:34058 

Maksudov, F.G. (with Aliev, I. V.) Second-order operator-differential equations with 
nonregular boundary conditions. (Russian) 92m:34135 

Mantlik, Frank (with Schneider, Albert!) Note on the absolutely continuous spectrum of 
Sturm-Liouville operators. 92b:34103 

Mohamed, M. I. (with Abdalla, H. A.; Elsawi, A.) Two-point boundary value problem with 
eigenvalue parameter contained in the boundary conditions. 92f:34013 

Molchanov, S. A. see Kirsch, Werner; et al., 92¢e:47080 

Montemayor, R. (with Salem, L. D.) Modified Riccati approach to partially solvable 
quantum Hamiltonians. II. Morse-oscillator-related family. 92i:81048b 

— see also Salem, L. D., 92i:81048a 

Muratbekov, M. B. On the smoothness and approximation properties of solutions of a 
nonlinear Dirac system. (Russian. English and Kazakh summaries) 92j:34020 

Nabiev, I. M. see Gasymov, M. G.; et al., 92b:34027 

(Nazaikinskii, V.E.) see Zhitomirskaya, S. Ya., 92j:81039 

Nimmo, J. J.C. see Athorne, Chris, 92j:34014 

Novikova, N. N. see Gonchar, A. A.; et al., 92j:34030 

Obaya Garcia, Rafael (with Paramio, Miguel) An application of the KAM theory to 
the study of the spectrum of quasiperiodic Schrédinger operators. (Spanish. English 
summary) (see 92b:00044) 

Orochko, Yu. B. Spectral representation of a hyperbolic evolution process that is connected 
with the Sturm-Liouville differential expression. (Russian) 92d4:47058 

Oses Recio, Jorge see Lépez Vidaurreta, Jorge; et al., 92d:34058 

Pan, Tao (with Qian, Min) Conditionally periodic solutions to nonlinear Schrédinger 


ORDINARY DIFFERENTIAL EQUATIONS 


equations—inverse spectral problem of Dirac operators. 92a:35149 

Paramio, Miguel see Obaya Garcia, Rafael, (92b:00044) 

Pariiskii, B.S. see Kitoroage, D. L.; et al., 92c:65098 and 92d:81027 

Pastur, L. A. see Kirsch, Werner; et al., 92e:47080 

Paulsen, William H. see Krantz, Steven G., 92b:73027 

Pertsch, Dietrich Exact solution of the Schrédinger equation for a potential well with a 
barrier and other potentials. 92b:81028 

Pryce, John D. see Brown, B. Malcolm; et al., 92j:34047 

Pych-Taberska, Paulina On the rate of convergence of Sturm-Liouville expansions. (Russian 
summary) 92e:34118 

Qian, Min see Pan, Tao; et al., 92a:35149 

Raikov, George D. The spectrum of a linear 
symmetry. 92j:76107 

Ralston, James V. see Guillot, J.-C., 924:34029 

del Rio Castillo, Rafael R. Embedded eigenvalues of Sturm-Liouville operators. 92h:47067 

Salem, L. D. (with Montemayor, R.) Modified Riccati approach to partially solvable 
quantum Hamiltonians. Finite Laurent-type potentials. 92i:81048a 

— see also Montemayor, R., 92i:81048b 

Schneider, Albert! see Mantlik, Frank, 92b:34103 

Schultze, Bernd On the deficiency index problem for Sturm-Liouville type operators. 

Shubov, Marianna A. Asymptotics of the di spectrum for a radial Schrédinger 
operator with nearly Coulomb potential. 92f:35111 

Shuster, L. A. A priori estimates for the solutions of the Sturm-Liouville equation and A. M. 
Molchanov’s criterion. (Russian) 92m:34066 

Sinai, Ya. G. see Chulaevskii, V. A., 92j:82036 

Singh, Ramji P. see Singh, Shambhoo Nath, 92f:34015 

Singh, Shambhoo Nath (with Singh, Ramji P.) Eigenvalue problem associated with second 
order matrix differential operator. 92f:34015 

Skubachevskii, A. L. (with Steblov,G.M.) On the spectrum of differential operators with a 
domain that is not dense in L2(0, 1). (Russian) 92m:47087 

Slavyanov, S. Yu. see Cohen, J., 92k:81035 

Steblov, G. M. see Skubachevskii, A. L., 92m:47087 

Teichert, Heidrun The structure of the spectrum of fourth-order differential operators with 
random coefficients. 92j:34114 

Vu Quoc Thanh Generalization of a theorem of M. M. Gekhtman for a nonlinear Sturm- 
Liouville equation. (Russian) 92¢:34035 

Williams, Stanley Carl see Everitt, W. Norrie; et al., 92h:34061 

Wood, Alastair D. see Brazel, Neal; et al., 92g:34027 

Yakubov, S. Ya. (with Ibragimov, E. Ch.) Estimates for the solutions of an ordinary 
differential equation with a parameter and functional conditions. (Russian) 92m:47088 

Yataev, N. M. On the theory of an operator of the form (d/dt)p(t)d?/dt? + a. (Russian) 
92g:34021 

Yurko, V. A. Solution of the Boussinesq equation on the half-line by the inverse problem 
method. 92m:35225 

Zarzo, A. see Arriola, E. R.; et al., 92i:34033 

Zhitomirskaya, S. Ya. Singular spectral properties of a one-dimensional Schrédinger 
operator with almost periodic potential. 92j:81039 





gnetohydrodynamic model with cylindrical 





34L99 None of the above, but in this section 


Gekhtman, M. M., Jr. On estimates for normalized eigenfunctions of the Sturm-Liouville 
operator with nonsmooth coefficients. (Russian) 

Race, D. (with Zettl, Anton) On the commutativity of certain quasidifferential expressions. 
I. 92h:34163 

Zettl, Anton see Race, D., 92h:34163 


Items with secondary classifications in 34L99 

Beeva, B. D. see Bozinov, Nikolai S. 

BozZinov, Nikolai S. (with Beeva, B.D.) Mean-periodic extensions of continuous functions 
with respect to generalized translation operators associated with second order differential 
operators. 

Connett, William C. (with Schwartz, Alan L.) Positive product formulas and hypergroups 
associated with singular Sturm-Liouville problems on a compact interval. 92¢:34032 

Craig, Walter Floquet exponents for Jacobi fields. 92f:58129 

Dijksma, A. (with de Snoo, H. S. V.; El Sabbagh, A. A.) Selfadjoint extensions of regular 
canonical systems with Stieltjes boundary conditions. 92h:47065 

El Sabbagh, A. A. see Dijksma, A.; et al., 92h:47065 

Evans, William Desmond (with Everitt, W. Norrie) Hardy-Littlewood integral inequalities. 
92i:34035 

— (with Everitt, W. Norrie) HELP inequalities for limit-circle and regular problems. 
92i:34036 

Everitt, W. Norrie see Evans, William Desmond, 92i:34035 and 92i:34036 

Gasanov, A. Z. Existence and oscillatory properties of the eigenfunctions of some nonlinear 
boundary value problems. (Russian) (see 92g:00019) 

Gaudenzi, Marcellino On the comparison of the mth eigenvalue for the equation Ly + 
Aq(x)y =0. 92i:34020 

Ilkiv, V.S. Perturbations of a nonlocal problem for differential equations with pseudodif- 
ferential coefficients. (Russian) 92e:34037 

Jiang, Hui Kun see Zheng, Wei Xing; et al., 92b:11087 

Levitina, T. V. Conditions for the applicability of an algorithm for solving two-parameter 
selfadjoint boundary value problems. (Russian) 92k:34019 

Mironov, B. G. On the theory of extensions of J-symmetric operators. (Russian) 92h:47046 

Olver, Peter J. A nonlinear differential operator series that commutes with any function. 
92m:34048 

Schwartz, Alan L. see Connett, William C., 92c:34032 

de Snoo, H.S. V. see Dijksma, A.; et al., 92h:47065 

Su, Wei Yi see Zheng, Wei Xing; et al., 92b:11087 

Tamanyan, G. Yu. Estimation of the remainders of asymptotic expansions of solutions of 
higher-order equations. (Russian) 92a:34056 





533 1992 


Urmambetov, B. M. Coercive probl for diffe 
Russian summaries) 92k:34077 

Zeng, Yun Bo Recurrence operators and the Painlevé property. (Chinese) 92d:35264 

Zheng, Wei Xing (with Su, Wei Yi; Jiang, Hui Kun) A note to the concept of derivatives on 
local fields. 92b:11087 





ial equations. (Kazakh. English and 


35-XX Partial differential equations 


35-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 35-00 

Asano, Naruyoshi (with Kato, Yusuke) * Algebraic and spectral methods for nonlinear 
wave equations. 92d:35001 

Kato, Yusuke see Asano, Naruyoshi, 924:35001 

Zwillinger, Daniel * Handbook of differential equations. 92j:00014 


35-01 Instructional exposition (textbooks, tutorial papers, etc.) 


(Ballesteros Elias, Antonio) see Kulakov, A. V., 92g:35001 

Bartak, Jaroslav (with Herrmann, Leopold; Lovicar, Vladimir; Vejvoda, Otto) * Partial 
differential equations of evolution. 92b:35001 

(Basu, P.) see Tikhonov, A. N., 92j:35001 

Crandall, Michael G. Viscosity solutions of partial differential equations. 92k:35001 

Herrmann, Leopold see Bartaék, Jaroslav; et al., 92b:35001 

Kulakov, A. V. (with Rumyantsev, A. A.) * Introduccién a la fisica de procesos no lineales. 
(Spanish) [Introduction to the physics of nonlinear processes] 92g:35001 

Lovicar, Vladimir see Bartak, Jaroslav; et al., 92b:35001 

(Robson, A. R. M.) see Tikhonov, A. N., 92j:35001 

Rumyantsev, A. A. see Kulakov, A. V., 92g:35001 

Samarskii, A. A. see Tikhonov, A. N., 92j:35001 

Strauss, Walter Alexander * Partial differential equations. 92m:35001 

Tikhonov, A. N. (with Samarskii, A. A.) * Equations of mathematical physics. 92j:35001 

Vejvoda, Otto see Barték, Jaroslav; et al., 92b:35001 

Zaidman, Samuel * Une introduction 4 la théorie des équations aux dérivées partielles. 
(French) [An introduction to the theory of partial differential equations] 92c:35001 


Items with secondary classifications in 35-01 

(Artola, Michel) see Dautray, Robert, 92k:00006 

(Cessenat, Michel) see Dautray, Robert, 92k:00006 

Collatz, Lothar * Differentialgleichungen. (German) [Differential equations] 92d:34001 

(Craig, Alan W.) see Dautray, Robert, 92k:00006 

Dautray, Robert (with Lions, Jacques-Louis) * Mathematical analysis and numerical 
methods for science and technology. Vol. 5. 92k:00006 

Holland, Samuel S., Jr. * Applied analysis by the Hilbert space method. 92a:00007 

(Lanchon, Hélene) see Dautray, Robert, 92k:00006 

Lions, Jacques-Louis see Dautray, Robert, 92k:00006 

La, Zhen Qiu * Jingdian he xiandai shuxue wuli fangcheng. (Chinese) [Equations of 
classical and modern mathematical physics] 92f:00005 

(McFaden, Harold H.) see Sobolev, Sergei L’vovich, 92¢:46067 

(Palamodov, V. P.) see Sobolev, Sergei L'vovich, 92e:46067 

Rassias, John M. * Counterexamples in differential equations and related topics. 
92h:34001 

Sobolev, Sergei L'vovich * Some applications of functional analysis in mathematical 
physics. 92¢:46067 

Wong, M. W. * An introduction to pseudo-differential operators. 92b:47083 

Yan, Zhen Jun * Shuxue wuli fangcheng. (Chinese) [Equations of mathematical physics] 
92g:00003 


35-02 Research exposition (monographs, survey articles) 

Asano, Naruyoshi (with Kato, Yusuke) * Algebraic and spectral methods for nonlinear 
wave equations. 92d:35001 

Begehr, Heinrich G. W. see Wen, Guo Chun, 92a:35002 

Calogero, F. Why are certain nonlinear PDEs both widely applicable and integrable? 
92£:35001 

Fife, Paul C. (with Geng, Xiao) Mathematical aspects of electrophoresis. 92e:35001 

Geng, Xiao see Fife, Paul C., 92e:35001 

Haraux, Alain * Systémes dynamiques dissipatifs et applications. (French) [Dissipative 
dynamical systems and applications] 92b:35002 

Hernandez, Jesis Maximum principles and decoupling for positive solutions of reaction- 
diffusion systems. 92a:35001 

Hess, Peter * Periodic-parabolic boundary value problems and positivity. 92h:35001 

Kato, Yusuke see Asano, Naruyoshi, 924:35001 

Matano, Hiroshi Nonlinear partial differential equations and infinite-dimensional 
dynamical systems. (Japanese) 92b:35003 

Pankov, A. A. * Bounded and almost periodic solutions of nonlinear operator differential 
equations. 92f:35002 

Schulz, Friedmar * Regularity theory for quasilinear elliptic systems and Monge-Ampére 
equations in two dimensions. 92d:35002 

Troianiello, Giovanni Maria * Elliptic differential equations and obstacle problems. 
92b:35004 

Wen, Guo Chun (with Begehr, Heinrich G. W.) * Boundary value problems for elliptic 
equations and systems. 92a:35002 


PARTIAL DIFFERENTIAL EQUATIONS 


(Zayachkovskii, V.S.) see Pankov, A. A., 92f:35002 


Items with secondary classifications in 35-02 


Anger, Gottfried * Inverse problems in differential equations. 92b:35166a 

— * Inverse problems in differential equations. 92b:35166b 

Boyd, John Philip New directions in solitons and nonlinear periodic waves: polycnoidal 
waves, imbricated solitons, weakly nonlocal solitary waves, and numerical boundary value 
algorithms. 92d:35237 

Carvalho e Silva, Jaime M. M. A survey of the necessary or sufficient conditions for 
the existence and unicity of C~ solutions for hyperbolic equations and systems. (see 
92b:00044) 

(Crowley, Anna) see Meirmanov, A. M., 92m:35282 

Das, Ashok * Integrable models. 92a:58061 

Davies, E. B. * Heat kernels and spectral theory. 92a:35035 

Davydov, A.S. * Solitons in molecular systems. 92k:35234 

Egorov, Yurii Vladimirovich Generalized functions and their applications. 92h:46053 

Friedman, Avner * BapHauvoHHbie NpHHUAMBI A 3aa4H CO CBOS6OMHBIMH TpaHHaMH. 
(Russian) [Variational principles and free-boundary problems] 92k:35005 

Gorbachuk, M. L. see Gorbachuk, V. I., 92m:34133 

Gorbachuk, V. I. (with Gorbachuk, M. L.) * Boundary value probl 
differential equations. 92m:34133 

(Gétz, I. G.) see Meirmanov, A. M., 92m:35282 

Grindrod, Peter * Patterns and waves. 92k:35145 

(Kryachko, E.S.) see Davydov, A. S., 92k:35234 

Li, Zheng Yuan see Ye, Qi Xiao; et al., 92i:35067 

Meirmanov, A. M. * The Stefan problem. 92m:35282 

(Niezgédka, Marek) see Meirmanov, A. M., 92m:35282 

(Pontecorvo, G.) see Zakhar'ev, B. N., 92d:81142 

(Rozhkovskaya, T. N.) see Friedman, Avner, 92k:35005 

Rudenko, O. V. see Vinogradova, M. B.; et al., 92j:00028 

Shulman, E.I. see Zakharov, V. E., 92c:35091 

Sukhorukov, A. P. see Vinogradova, M. B.; et al., 92j:00028 

Suz’ko, A. A. see Zakhar'ev, B. N., 92d:81142 

(Ural'tseva, N.N.) see Friedman, Avner, 92k:35005 

Vinogradova, M. B. (with Rudenko, O. V.; Sukhorukov, A. P.) * Teopus som. (Russian) 
[Wave theory] 92j:00028 

Ye, Qi Xiao (with Li, Zheng Yuan) * Fanying kuosan fangcheng yinlun. (Chinese) 
[Introduction to reaction-diffusion equations] 92i:35067 

Zaidman, Samuel * Une introduction 4 la théorie des équations aux dérivées partielles. 
(French) [An introduction to the theory of partial differential equations] 92c:35001 

Zakhar'ev, B. N. (with Suz’ko, A. A.) * Direct and inverse problems. 924:81142 

Zakharov, V. E. On the dressing method. 924:35280 

— (with Shul'man, E. 1.) Integrability of nonlinear systems and perturbation theory. 
92¢:35091 





for operator 


35-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Bandle, Catherine Uber die Payne-Pélya-Weinbergersche Vermutung. [On the Payne-Pélya- 
Weinberg conjecture] 
Ginther, Paul Huygens’ principle and Hadamard’s conjecture. 92e:35002 


Items with secondary classifications in 35-03 


Bemelmans, Josef (with Hildebrandt, Stefan; von Wahl, Wolf) Partielle Differentialgle- 
ichungen und Variationsrechnung. [Partial differential equations and calculus of varia- 
tions] 92e:01050 

Hildebrandt, Stefan see Bemelmans, Josef; et al., 92¢:01050 

von Wahl, Wolf see Bemelmans, Josef; et al., 92e:01050 


35-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Hereman, Willy Exact solitary wave solutions of coupled nonlinear evolution equations 
using MACSYMA. 92a:35003 

Morales-Luna, G. see Sailer, V., 92g:35002 

Sailer, V. (with Morales-Luna, G.) On the polynomial representation of generalized 
Liouville operators. 92g:35002 


Items with secondary classifications in 35-04 


Gragert, Peter K.H. (with Kersten, Paul H. M.) Graded differential geometry in REDUCE: 
supersymmetry structures of the modified KdV equation. 92h:58003 
Kersten, Paul H. M. see Gragert, Peter K. H., 92h:58003 


35-06 Proceedings, conferences, collections, etc. 


(Bates, Peter W.) see Current directions in nonlinear partial differential equations, 92b:35005 

(Beals, Michael) see Microlocal analysis and nonlinear waves, 92c:35002 

(Chikhanov, Kh. A.) see Analytic methods for solving differential equations, 92d:35003 

(Dzhuraev, T. D.) see Boundary value problems for differential equations of mixed types, 
92m:35002 

(Egorov, Yurii Viadimirovich) see Partial differential equations, 92f:35005 

(Fife, Paul C.) see Current directions in nonlinear partial differential equations, 92b:35005 

(Fusco, D.) see Nonlinear waves and dissipative effects, 92k:35002 

(Godunov, S. K.) see Boundary value problems for partial differential equations, 92d:35004 

(Grinfeld, Michael) see Partial differential equations, 92f:35005 

(Jeffrey, A.) see Nonlinear waves and dissipative effects, 92k:35002 

(Lavrent'ev, M. M.) see Conditionally well-posed problems, 92d:35006 

(Lazarov, Raicho D.) see Integral equations and inverse problems, 92b:35006 

(Li, Da Qian) see Qualitative aspects and applications of nonlinear evolution equations, 
92m:35004 





35-06 


(Lloyd, N. G.) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

(Melrose, Richard B.) see Microlocal analysis and nonlinear waves, 92c:35002 

(de Mottoni, Piero) see Qualitative aspects and applications of nonlinear evolution equations, 
92m:35004 

(Ni, Wei-Ming) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

(Peletier, L. A.) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

(Petkov, Vesselin M.) see Integral equations and inverse problems, 92b:35006 

(Rauch, Jeffrey) see Microlocal analysis and nonlinear waves, 92c:35002 

(Sakharova, V.P.) see Partial differential equations, 92f:35004 

(Salakhitdinov, M.S.) see Boundary value problems for differential equations of mixed types, 
92m:35002 

(Serrin, James) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

(Shearer, Michael) see Viscous profiles and numerical methods for shock waves, 92h:35002 

(Shubin, M. A.) see Partial differential equations, 92f:35005 

(Vakhrameev, S. A.) see Partial differential equations, 92:35006 

(Volkodavov, V. F.) see Differential and integral equations, 92a:35004; Boundary value 
problems for partial differential equations, 92d:35005 and Classical and nonclassical 
problems for differential equations, 92f:35003 

(Vragov, V.N.) see Nonclassical partial differential equations, 92d:35008 and Application 
of the methods of functional analysis to nonclassical equations of mathematical physics, 
92e:35003 


Items listed otherwise than by author 


Analytic methods for solving differential equations * AHanuTu4eckHe MeTOBI pelleHHa 
audbdbepenmmanbubix ypapHenuit. (Russian) [Analytic methods for solving differential 
equations] 92d:35003 

Application of the methods of functional analysis to nonclassical equations of mathemat- 
ical physics * Iipumenenne MeTogos cbyHKIMOHaIbHOTO aHasIM3a K HEKACCHYCCKHM 
ypaBHeHHAM MaTeMaTH4ecKon dbusuKu. (Russian) [Application of the methods of func- 
tional analysis to nonclassical equations of mathematical physics] 92¢:35003 

Boundary value problems for differential equations of mixed types * Kpaesbie 3aqa4H 218 
nudbdbepenuwasibHbIX ypaBHeHHA CMeaHHbIX TuNOB. (Russian) [Boundary value problems 
for differential equations of mixed types] 92m:35002 

Boundary value problems for partial differential equations * Kpaesbie 3aqa4H 210 ypaBHeHut 
C YaCTHbIMH NpOH3BOHBIMH. (Russian) [Boundary value problems for partial differential 
equations] 92d:35004 

— * Kpaesbie 3ana4H 21a QuddepeHuMarbHbIX ypaBHeHHA C 4YaCTHBIMH NPOHSBOTHBIMH. 
(Russian) [Boundary value problems for partial differential equations] 92d:35005 

Boundary value problems of mathematical physics * Boundary value problems of mathemat- 
ical physics. XIV. 

Classical and nonclassical problems for differential equations * Knaccuyeckue u 
HekylaccH4eckHe 3a1a4H Lia TuddbepentMarbHbIX ypaBHeHHK. (Russian) [Classical and non- 
classical problems for differential equations] 92f:35003 

Colloquium: 

Nonlinear Waves and Dissipative Effects * Nonlinear waves and dissipative effects. 
92k:35002 

Conditionally well-posed problems * YcnosHo KoppexTuHble 3aqaun. (Russian) [Conditionally 
well-posed problems] 92d:35006 

Conference: 

Evolution Equations and Applications to Nonlinear Problems * Hatten hoteishiki 
to hisenkei mondai e no oyd. [Evolution equations and applications to nonlinear 
problems] 92d:35007 

Integral Equations and Inverse Problems * Integral equations and inverse problems. 
92b:35006 

Nonlinear Diffusion Equations and their Equilibrium States * Nonlinear diffusion 
equations and their equilibrium states. 3. 92m:35003 

Nonlinear Partial Differential Equations * Current directions in nonlinear partial 
differential equations. 92b:35005 

Partial Differential Equations * Journées “Equations aux Dérivées Partielles”. [Proceed- 
ings of the Conference on Partial Differential Equations] 92d:35009 

Some Topics in Nonlinear PDEs * Some topics in nonlinear PDEs. 92k:35004 

Current directions in nonlinear partial differential equations * Current directions in 
nonlinear partial differential equations. 92b:35005 

Current problems in mathematics. Newest results * Current problems in mathematics. 
Newest results. Vol. 37. 92g:35003 

Differential and integral equations * Jluddepennmanbubie H HHTerpasibHble ypaBHeHua. 
(Russian) [Differential and integral equations] 92a:35004 

Encyclopaedia of Mathematical Sciences * Partial differential equations. III. 92f:35005 

Evolution equations and applications to nonlinear problems * Hatten hdteishiki to hisenkei 
mondai e no dy6. [Evolution equations and applications to nonlinear problems] 
924:35007 

Gregynog * Nonlinear diffusion equations and their equilibrium states. 3. 92m:35003 

Integral equations and inverse problems * Integral equations and inverse problems. 
92b:35006 

Itogi Nauki i Tekhniki * JJuddepenmuanbubie ypaBHeHHa Cc 4aCTHbIMH MPOH3BOLHEIMH. 3. 
(Russian) [Partial differential equations. 3] 92f:35004 

— * Jluboepenmmanbubie ypaBHenus c 4aCTHbIMH NpOM3BOAHEIMKH. 8. (Russian) [Partial 
differential equations. 8] 92f:35006 

Microlocal analysis and nonlinear waves * Microlocal analysis and nonlinear waves. 
92c:35002 

Minneapolis, MN * Microlocal analysis and nonlinear waves. 92¢:35002 

Nonclassical partial differential equations * Hexnaccuyeckue qudepenuManbubie ypaBHeHHuA 
B 4aCTHBIX NpOH3BOMHBIX. (Russian) [Nonclassical partial differential equations] 
924:35008 

Nonlinear diffusion equations and their equilibrium states * Nonlinear diffusion equations 
and their equilibrium states. 3. 92m:35003 

Nonlinear waves and dissipative effects * Nonlinear waves and dissipative effects. 
92k:35002 


Partial differential equations * JIudbepenumanbubie ypaBHeHHs C YaCTHBIMH NIpOU3BOHBIMH. 
3. (Russian) [Partial differential equations. 3] 92f:35004 


PARTIAL DIFFERENTIAL EQUATIONS 


— * Partial differential equations. III. 92f:35005 

— *& JIuddepenumanbubie ypaBHeHUA C 4aCTHBIMH NpOH3BOAHEIMH. 8. (Russian) [Partial 
differential equations. 8] 92f:35006 

Proceedings: 

Conference on Partial Differential Equations * Journées “Equations aux Dérivées 
Partielles”. [Proceedings of the Conference on Partial Differential Equations] 
92d:35009 

Provo, UT * Current directions in nonlinear partial differential equations. 92b:35005 

Qualitative aspects and applications of nonlinear evolution equations * Qualitative aspects 
and applications of nonlinear evolution equations. 92m:35004 

Raleigh, NC * Viscous profiles and numerical methods for shock waves. 92h:35002 

Reggio di Calabria * Nonlinear waves and dissipative effects. 92k:35002 

Research on the structure of solutions to partial differential equations * Hembibun hoteishiki 
no kai no k6z6 no kenkya. (Japanese) [Research on the structure of solutions to partial 
differential equations] 92k:35003 

Saint Jean de Monts * Journées “Equations aux Dérivées Partielles”. [Proceedings of the 
Conference on Partial Differential Equations] 92d:35009 

School: 

Qualitative Aspects and Applications of Nonlinear Evolution Equations * Qualitative 
aspects and applications of nonlinear evolution equations. 92m:35004 

Seminar: 

Partial Differential Equations * Séminaire sur les Equations aux Dérivées Partielles. 
1990-1991. (French) [Seminar on Partial Differential Equations. 1990-1991] 
92£:35007 

Some topics in nonlinear PDEs * Some topics in nonlinear PDEs. 92k:35004 

Space-like structures of solutions to fluid equations * Ryitai hoteishiki no kai no kukanteki 
k6z0. (Japanese) [Space-like structures of solutions to fluid equations] 92a:35005 

Symposium: 

Research on the Structure of Solutions to Partial Differential Equations * Hembibun 
hoteishiki no kai no k6z6 no kenkya. (Japanese) [Research on the structure of solutions 
to partial differential equations] 92k:35003 

Space-like Structures of Solutions to Fluid Equations * Rydtai hoteishiki no kai no 
kukanteki k6z6. (Japanese) [Space-like structures of solutions to fluid equations] 
92a:35005 

Trieste * Qualitative aspects and applications of nonlinear evolution equations. 
92m:35004 

Turin * Some topics in nonlinear PDEs. 92k:35004 

Varna * Integral equations and inverse problems. 92b:35006 

Viscous profiles and numerical methods for shock waves * Viscous profiles and numerical 
methods for shock waves. 92h:35002 

Workshop: 

Microlocal Analysis and Nonlinear Waves * Microlocal analysis and nonlinear waves. 
92¢:35002 

Shock Waves * Viscous profiles and numerical methods for shock waves. 92h:35002 


Items with secondary classifications in 35-06 


(Ames, W. F.) see Nonlinear equations in the applied sciences, 92d:58002 

(Bar’yakhtar, V.G.) see Integrability and kinetic equations for solitons, 92m:00028 

(Bennewitz, Christer) see Differential equations and mathematical physics, 924:00026 

(Berezovskii, A. A.) see Nonlinear evolution equations in applied problems, 92m:00021 

(Boffi, V.C.) see Mathematical aspects of fluid and plasma dynamics, 92a:82003 

(Bogolyubov, N. N.) see Solitons and applications, 92i:58002 

(Brézis, Haim) see Nonlinear partial differential equations and their applications. College de 
France Seminar, 92d:00018 

(Busenberg, Stavros N.) see Delay differential equations and dynamical systems, 92f:34057 

(Chernousenko, V. M.) see Integrability and kinetic equations for solitons, 92m:00028 

(Clément, Philippe P.) see Semigroup theory and evolution equations, 92m:47001 

(Cooke, Kenneth L.) see Delay differential equations and dynamical systems, 92f:34057 

(Dahlberg, B.) see Partial differential equations with minimal smoothness and applications, 
92m:00047 

(Desch, Wolfgang) see Estimation and control of distributed parameter systems, 92m:93001 

(Engquist, Bjorn E.) see Conference: Hyperbolic Problems, 92a:00036 

(Exner, Pavel) see Order, disorder and chaos in quantum systems, 92c:00015 

(Fabes, Eugene B.) see Partial differential equations with minimal smoothness and applica- 
tions, 92m:00047 

(Fedyanin, V. K.) see Solitons and applications, 92i:58002 

(Fefferman, R.) see Partial differential equations with minimal smoothness and applications, 
92m:00047 

(Fushchich, V.I.) see Algebra-theoretic analysis of equations in mathematical physics, 
92b:35011 

(Galitsyn, A. S.) see Special boundary value problems in heat exchange theory, 92d:00021 

(Garbey, Marc) see Asymptotic analysis and the numerical solution of partial differential 
equations, 92b:00035 

(Gindikin, S.G.) see Spectral theory of operators, 92m:00059 

(Godunov, S. K.) see Embedding theorems and their applications to problems in mathematical 
physics, 92m:00025 and Partial differential equations, 92m:00029 

(Gu, Chao Hao) see Nonlinear physics, 92b:00043 

(Gustafsson, Bertil) see Conference: Hyperbolic Problems, 922:00036 

(Hussin, Véronique) see Lie theory, differential equations and representation theory, 
92b:00042 

(Ivanov, Simeon) see Spectral theory of operators, 92m:00059 

(Jarvis, R. J.) see Ordinary and partial differential equations, 92m:00046 

(Jerison, David) see Partial differential equations with minimal smoothness and applications, 
92m:00047 

(Kaper, Hans G.) see Asymptotic analysis and the numerical solution of partial differential 
equations, 92b:00035 

(Kappel, F.) see Estimation and control of distributed parameter systems, 92m:93001 

(Kasahara, Koji) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 





535 1992 


(Kenig, Carlos E.) see Partial differential equations with minimal smoothness and applica- 
tions, 92m:00047 
(Kreiss, Heinz-Otto) see Conference: Hyperbolic Problems, 922:00036 
(Kiihnau, R.) see Boundary value and initial value problems in complex analysis: studies 
in complex analysis andits applications to partial differential equations, 92h:00020 and 
Geometric function theory and applications of complex analysis to mechanics: studies in 
complex analysis and its applications to partial differential equations, 92h:00021 
(Kunisch, Karl) see Estimation and control of distributed parameter systems, 92m:93001 
(Kurzweil, Jaroslav) see Equadiff, 92f:00023 
(Lavrent'ev, M. M.) see Mathematical analysis and discrete mathematics, 92d:00011 
(Li, Yi Shen) see Nonlinear physics, 92b:00043 
(Lions, Jacques-Louis) see Nonlinear partial differential equations and their applications. 
College de France Seminar, 924:00018 
(Makhan’kov, V.G.) see Solitons and applications, 92i:58002 
(Martelli, Mario) see Delay differential equations and dynamical systems, 92f:34057 
(Matveev, N. M.) see Partial differential equations, 92e:00011 
(Mitidieri, Enzo) see Semigroup theory and evolution equations, 92m:47001 
(Mitropol’skii, Yu. A.) see Nonlinear boundary value problems of mathematical physics and 
their applications, 92m:00020 and Nonlinear evolution equations in applied problems, 
92m:00021 
(Mizohata, Sigeru) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 
(Mshimba, Ali Seif) see Functional analytic methods in complex analysis and applications to 
partial differential equations, 92i:00023 
(Neidhardt, Hagen) see Order, disorder and chaos in quantum systems, 92c:00015 
(Ohya, Yujiro) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 
(Oliker, Vladimir) see Geometry and nonlinear partial differential equations, 92k:53001 
(de Pagter, Ben) see Semigroup theory and evolution equations, 92m:47001 
(Pashaev, O. K.) see Solitons and applications, 92i:58002 
(Pipher, Jill) see Partial differential equations with minimal smoothness and applications, 
92m:00047 
(Rionero, S.) see Mathematical aspects of fluid and plasma dynamics, 92a:82003 
(Rogers, Colin) see Nonlinear equations in the applied sciences, 92d:58002 
(Sattinger, D. H.) see Inverse scattering and applications, 92f:00025 
(Shimakura, N.) see Recent developments in mathematical analysis and partial differential 
equations, 92c:00018a and 92c:00018b 
(Sleeman, B. D.) see Ordinary and partial differential equations, 92m:00046 
(Toscani, Giuseppe) see Mathematical aspects of fluid and plasma dynamics, 92a:82003 
(Tracy, Craig A.) see Inverse scattering and applications, 92f:00025 
(Treibergs, Andrejs) see Geometry and nonlinear partial differential equations, 92k:53001 
(Tu, Gui Zhang) see Nonlinear physics, 92b:00043 
(Tutschke, Wolfgang) see Boundary value and initial value problems in complex analysis: 
studies in complex analysis andits applications to partial differential equations, 92h:00020; 
Geometric function theory and applications of complex analysis to mechanics: studies 
in complex analysis and its applications to partial differential equations, 92h:00021 and 
Functional analytic methods in complex analysis and applications to partial differential 
equations, 92i:00023 
(Venakides, Stephanos) see Inverse scattering and applications, 92f:00025 
(Wen, Guo Chun) see Integral equations and boundary value problems, 92a:00039 and 
Conference: Integral Equations and Boundary Value Problems, 92f:00022 
(Zakharov, V. E.) see Wave collapses, 92f:76009 and Integrability and kinetic equations for 
solitons, 92m:00028 
(Zhao, Zhen) see Integral equations and boundary value problems, 92a:00039 and Confer- 
ence: Integral Equations and Boundary Value Problems, 92f:00022 
Items listed otherwise than by author 
Algebra-theoretic analysis of equations in mathematical physics * TeopeTuxo-anre6panyec- 
kui aHasiM3 ypaBHeHHit MaTeMaTHYeckon dbusuKu. (Russian) [Algebra-theoretic analysis of 
equations in mathematical physics] 92b:35011 
All-Union Seminar: 
Solitons in Nonintegrable Systems * Solitons and applications. 92i:58002 
American Mathematical Society Translations, Series 2 * Spectral theory of operators. 
92m:00059 
Amherst, MA * Inverse scattering and applications. 92f:00025 
Argonne, IL * Asymptotic analysis and the numerical solution of partial differential 
equations. 92b:00035 
Asymptotic analysis and the numerical solution of partial differential equations * Asymptotic 
analysis and the numerical solution of partial differential equations. 92b:00035 
Beijing * Integral equations and boundary value problems. 92a:00039 
— * International Conference on Integral Equations and Boundary Value Problems. 
92£:00022 
Birmingham, AL * Differential equations and mathematical physics. 92d:00026 
Birthday: 
Bogolyubov, N. N. * Solitons and applications. 92i:58002 
Cooke, Kenneth * Delay differential equations and dynamical systems. 92f:34057 
Kreiss, Heinz-Otto * Third International Conference on Hyperbolic Problems. Vol. I, II. 
922:00036 
Mizohata, Sigeru * Recent developments in mathematical analysis and partial differen- 
tial equations. Vol. II. 92c:00018b 
Boundary value and initial value problems in complex analysis: studies in complex analysis 
and its applications to partial differential equations * Boundary value and initial value 
problems in complex analysis: studies in complex analysis and its applications to partial 
differential equations. 1. 92h:00020 
Chicago, IL * Partial differential equations with minimal smoothness and applications. 
92m:00047 
Claremont, CA * Delay differential equations and dynamical systems. 92f:34057 
Colloquium: 
Theory of Differential Equations in the Complex Field * Equations différentielles dans le 
champ complexe. Vol. III. (French) [Differential equations in the complex field. Vol. 


PARTIAL DIFFERENTIAL EQUATIONS 


Colloquium: (cont'd. ) 
IIT] 92m:00040 
Conference: 

Complex Analysis and its Applications to Partial Differential Equations * Boundary value 
and initial value problems in complex analysis: studies in complex analysis and its 
applications to partial differential equations. 1. 92h:00020 

— * Geometric function theory and applications of complex analysis to mechanics: 
studies in complex analysis and its applications to partial differential equations. 2. 
92h:00021 

Control and Estimation of Distributed Parameter Systems * Estimation and control of 
distributed parameter systems. 92m:93001 

Differential Equations and Applications to Biology and Population Dynamics * Delay 
differential equations and dynamical systems. 92f:34057 

Differential Equations and Mathematical Physics * Differential equations and mathemat- 
ical physics. 924:00026 

Differential Equations and their Applications * Equadiff 7. 92f:00023 

Hyperbolic Problems * Third International Conference on Hyperbolic Problems. Vol. I, 
Il. 92a:00036 

Integral Equations and Boundary Value Problems * Integral equations and boundary 
value problems. 92a:00039 

— * International Conference on Integral Equations and Boundary Value Problems. 
92f:00022 

Inverse Scattering on the Line * Inverse scattering and applications. 92f:00025 

Nonlinear Physics * Nonlinear physics. 92b:00043 

Order, Disorder and Chaos in Quantum Systems * Order, disorder and chaos in quantum 
systems. 92c:00015 

Ordinary and Partial Differential Equations * Ordinary and partial differential equations. 
Vol. III. 92m:00046 

Partial Differential Equations with Minimal Smoothness and Applications * Partial 
differential equations with minimal smoothness and applications. 92m:00047 

Semigroup Theory and Evolution Equations * Semigroup theory and evolution equations. 
92m:47001 

Contemporary Mathematics * Inverse scattering and applications. 92f:00025 

— * Geometry and nonlinear partial differential equations. 92k:53001 

Delay differential equations and dynamical systems * Delay differential equations and 
dynamical systems. 92f:34057 

Delft * Semigroup theory and evolution equations. 92m:47001 

Differential equations and mathematical physics * Differential equations and mathematical 
physics. 924:00026 

Differential equations in the complex field * Equations différentielles dans le champ 
complexe. Vol. III. (French) [Differential equations in the complex field. Vol. III] 
92m:00040 

Dubna * Order, disorder and chaos in quantum systems. 92c:00015 

— * Solitons and applications. 92i:58002 

Dundee * Ordinary and partial differential equations. Vol. II]. 92m:00046 

Embedding theorems and their applications to problems in mathematical physics * Teopembi 
BIOKCHHA H HX NPHJOKeHHA K 3ajayaM MaTeMaTH4eCKON u3sHKH. (Russian) [Embedding 
theorems and their applications to problems in mathematical physics] 92m:00025 

Equadiff * Equadiff 7. 92f:00023 

Equations différentielles dans le champ complexe * Equations différentielles dans le champ 
complexe. Vol. III. (French) [Differential equations in the complex field. Vol. III] 
92m:00040 

Errata: 

Current directions in nonlinear partial differential equations Errata: Current directions in 
nonlinear partial differential equations [Rocky Mountain J. Math. 21 (1991), no. 2; MR 
92b:35005]. 92j:00031 

Estimation and control of distributed parameter systems * Estimation and control of 
distributed parameter systems. 92m:93001 

Fayetteville, AR * Geometry and nonlinear partial differential equations. 92k:53001 

Functional analytic methods in complex analysis and applications to partial differential 
equations * Functional analytic methods in complex analysis and applications to partial 
differential equations. 92i:00023 

Geometric function theory and applications of complex analysis to mechanics: studies in 
complex analysis and its applications to partial differential equations * Geometric 
function theory and applications of complex analysis to mechanics: studies in complex 
analysis and its applications to partial differential equations. 2. 92h:00021 

Geometry and nonlinear partial differential equations * Geometry and nonlinear partial 
differential equations. 92k:53001 

Halle * Boundary value and initial value problems in complex analysis: studies in complex 
analysis and its applications to partial differential equations. 1. 92h:00020 

— * Geometric function theory and applications of complex analysis to mechanics: studies 
in complex analysis and its applications to partial differential equations. 2. 92h:00021 

Integrability and kinetic equations for solitons * MuterpupyemoctT» # KHHeTHYeCKHe 
ypaBHeHus 110 conuTouos. (Russian) [Integrability and kinetic equations for solitons] 
92m:00028 

Integral equations and boundary value problems * Integral equations and boundary value 
problems. 92a:00039 

Inverse scattering and applications * Inverse scattering and applications. 92f:00025 

Lecture Notes in Mathematics * Mathematical aspects of fluid and plasma dynamics. 
92a:82003 

— * Delay differential equations and dynamical systems. 92f:34057 

Lie theory, differential equations and representation theory * Lie theory, differential 
equations and representation theory. 92b:00042 

Limit problems for differential equations * The limit problems for differential equations. 
92c:00013 

Mathematical analysis and discrete mathematics * MatTemaTuueckHh aHanu3 H JMCKpeTHas 
Matemartuka. (Russian) [Mathematical analysis and discrete mathematics] 92d:00011 

Mathematical analysis of phenomena in fluid and plasma dynamics * Rydtai to purazuma no 
shogensho no stgaku kaiseki. [Mathematical analysis of phenomena in fluid and plasma 
dynamics] 92f:76005 





35-06 


Mathematical aspects of fluid and plasma dynamics * Mathematical aspects of fluid and 
plasma dynamics. 92a:82003 

Mathematical aspects of nonlinear waves in fluids * Rydtaichi no hisenkei had6 no siriteki 
sokumen. (Japanese) [Mathematical aspects of nonlinear waves in fluids] 92a:76004 

Microlocal analysis and its applications * Chokyokusho kaiseki to sono oy6. (Japanese) 
[Microlocal analysis and its applications] 924:58200 

Montreal, PQ * Lie theory, differential equations and representation theory. 92b:00042 

Nonlinear boundary value problems of mathematical physics and their applications 

%* Henmnettusie Kpaesbie 3aa4H MaTeMaTH4eCKON (H3HKH H HX NpHNoxenuaA. (Russian) 

[Nonlinear boundary value problems of mathematical physics and their applications] 

92m:00020 

Nonlinear equations in the applied sciences * Nonlinear equations in the applied sciences. 
92d:58002 

Nonlinear evolution equations in applied problems * HesHHeftuble 3B0TI0NHOHHbIe ypaBHeHHA 
B IpHKNaqHBIX 3agayax. (Russian) [Nonlinear evolution equations in applied problems] 
92m:00021 

Nonlinear partial differential equations and their applications. College de France Seminar 
* Nonlinear partial differential equations and their applications. Collége de France 
Seminar. Vol. X. 92d:00018 

Nonlinear physics * Nonlinear physics. 92b:00043 

Novgorod * Spectral theory of operators. 92m:00059 

Novosibirsk * Wave collapses. 92f:76009 

Order, disorder and chaos in quantum systems * Order, disorder and chaos in quantum 
systems. 92c:00015 

Ordinary and partial differential equations * Ordinary and partial differential equations. 
Vol. III. 92m:00046 

Paris * Nonlinear partial differential equations and their applications. Collége de France 
Seminar. Vol. X. 92d:00018 

Partial differential equations * JjuddepenuManbHbie ypaBHeHHA C YaCTHbIMH DPOH3BOZHbIMH. 
(Russian) [Partial differential equations] 92m:00029 

— * [lndbtepenmmanbubie ypaBHeHHA C YaCTHbIMH NpOHSBOZHIMH. (Russian) [Partial 
differential equations] 92¢:00011 

Partial differential equations with minimal smoothness and applications * Partial differential 
equations with minimal smoothness and applications. 92m:00047 

Prague * Equadiff 7. 92f:00023 

Recent developments in mathematical analysis and partial differential equations * Recent 
developments in mathematical analysis and partial differential equations. Vol. I. 
92c:00018a 

— * Recent developments in mathematical analysis and partial differential equations. Vol. 
II. 92¢:00018b 

Salice Terme * Mathematical aspects of fluid and plasma dynamics. 92a:82003 

School: 
Operators in Functional Spaces * Spectral theory of operators. 92m:00059 

Semigroup theory and evolution equations * Semigroup theory and evolution equations. 
92m:47001 

Seminar: 

Applied Mathematics * Nonlinear partial differential equations and their applications. 
Collége de France Seminar. Vol. X. 92d:00018 

Lie Theory, Differential Equations and Representation Theory * Lie theory, differential 
equations and representation theory. 92b:00042 

Session: 
Geometry, Physics and Nonlinear Partial Differential Equations * Geometry and 
nonlinear partial differential equations. 92k:53001 

Shanghai * Nonlinear physics. 92b:00043 

Solitons and applications * Solitons and applications. 92i:58002 

Solutions for nonlinear elliptic equations * Hisenkei daenkei hembibun hoteishiki no kai. 
(Japanese) [Solutions for nonlinear elliptic equations] 92d:35075 

Special boundary value problems in heat exchange theory * CnenHanbHbie rpaHw4Hbie 3a7a4H 
Teopuu Tenmoo6mexa. (Russian) [Special boundary value problems in heat exchange 
theory] 92d:00021 

Spectral theory of operators * Spectral theory of operators. 92m:00059 

Strasbourg * Equations différentielles dans le champ complexe. Vol. III. (French) 
[Differential equations in the complex field. Vol. III] 92m:00040 

Symposium: 

Mathematical Analysis of Phenomena in Fluid and Plasma Dynamics * Ryitai to 
purazuma no shogensh6 no sigaku kaiseki. [Mathematical analysis of phenomena in 
fluid and plasma dynamics] 92f:76005 

Mathematical Aspects of Nonlinear Waves in Fluids * Rydtaichi no hisenkei had6é no 
siriteki sokumen. (Japanese) [Mathematical aspects of nonlinear waves in fluids] 
92a:76004 

Microlocal Analysis and its Applications * Chokyokusho kaiseki to sono dyo. (Japanese) 
[Microlocal analysis and its applications] 92d:58200 

Solutions for Nonlinear Elliptic Equations * Hisenkei daenkei hembibun hoteishiki no 
kai. (Japanese) [Solutions for nonlinear elliptic equations] 92d:35075 

Trieste * Functional analytic methods in complex analysis and applications to partial 
differential equations. 92i:00023 

Uppsala * Third International Conference on Hyperbolic Problems. Vol. I, II. 92a:00036 

Vorau * Estimation and control of distributed parameter systems. 92m:93001 

Wave collapses * Wave collapses. 92f:76009 

Workshop: 

Asymptotic Analysis and the Numerical Solution of Partial Differential Equations 
* Asymptotic analysis and the numerical solution of partial differential equations. 
92b:00035 

Functional Analytic Methods in Complex Analysis and Applications to Partial Differential 
Equations * Functional analytic methods in complex analysis and applications to 
partial differential equations. 92i:00023 

Mathematical Aspects of Fluid and Plasma Dynamics * Mathematical aspects of fluid 
and plasma dynamics. 92a:82003 

Solitons and Applications * Solitons and applications. 92i:58002 

Wave Collapse Physics * Wave collapses. 92f:76009 


PARTIAL DIFFERENTIAL EQUATIONS 


35Axx General theory 


Items with secondary classifications in 35Axx 
Rosinger, Elemer E. * Nonlinear partial differential equations. 92d:46098 


35A05 General existence and uniqueness theorems 


Bolley, Pierre (with Camus, Jacques; Métivier,Guy) Théoréme d’unicité pour des vecteurs 
analytiques. [Uniqueness theorem for analytic vectors] 92d:35010 

Byszewski, Ludwik Theorems about the existence and uniqueness of solutions of a 
semilinear evolution nonlocal Cauchy problem. 92m:35005 

Camus, Jacques see Bolley, Pierre; et al., 92d:35010 

Fetkan, Michal A new method for the existence of solutions of nonlinear differential 
equations. 92¢:35004 

Gindikin, S. G. see Volevich, L. R., 92i:35001 

Kozera, Ryszard Existence and uniqueness in photometric stereo. 92g:35004 

Métivier, Guy see Bolley, Pierre; et al., 92d:35010 

Robbiano, Luc Théoréme d’unicité adapté au contréle des solutions des problémes 
hyperboliques. [A uniqueness theorem adapted to the control of solutions of hyperbolic 
problems] 92j:35002 

Sogge, Christopher D. Uniqueness in Cauchy problems for hyperbolic differential operators. 
92m:35006 

Takeuchi, Jiro Le probleme de Cauchy pour quelques équations aux dérivées partielles 
du type de Schrédinger. (English summary) [The Cauchy problem for some partial 
differential equations of Schrédinger type] 92f:35008 

— Le probléme de Cauchy pour quelques équations aux dérivées partielles du type de 
Schrédinger. II. (English summary) [The Cauchy problem for some partial differential 
equations of Schrédinger type. II] 92£:35009 

Volevich, L. R. (with Gindikin, S.G.) The Cauchy problem. (Russian) 92i:35001 


Items with secondary classifications in 35A05 


Begehr, Heinrich G. W. (with Wen, Guo Chun; Zhao, Zhong Xin) An initial and boundary 
value problem for nonlinear composite type systems of three equations. 92h:35158 

Bony, Jean-Michel Existence globale a données de Cauchy petites pour les modéles discrets 
de l’équation de Boltzmann. [Global existence, for small Cauchy data, of the solutions of 
discrete models of the Boltzmann equation] 92m:35263 

Cabannes, Henri On the initial value problem in discrete kinetic theory. 92i:82091 

Ceppitelli, Rita (with Villarini, Massimo) Error bounds for solutions of systems of quasi 
linear hyperbolic partial differential equations in diagonal form. 92d:35173 

Chen, Zhi Min Long time small solutions to nonlinear parabolic equations. 92¢:35085 

Comte, Myriam Solutions of elliptic equations with critical Sobolev exponent in dimension 
three. 92i:35050 

De Simon, Luciano (with Torelli, Giovanni) The Cauchy problem for a class of linear 
partial differential equations with discontinuous coefficients. (Italian. English summary) 
92g:35218 

Drabek, Pavel (with Nicolosi, Francesco) Semilinear boundary value problems at resonance 
with general nonlinearities. 92k:35099 

Feireisl, Eduard Global in time solutions to quasilinear telegraph equations involving 
operators with time delay. (Czech summary) 92j:35123 

Gongaives, J. V. A. (with Miyagaki, Olimpio H.) Existence of nontrivial solutions for 
semilinear elliptic equations at resonance. 924:35101 

Grenon, Nathalie Résultats d’existence pour des équations paraboliques quasilinéaires. 
(English summary) [Existence results for some quasilinear parabolic equations] 
92d:35143 

von Grudzinski, Olaf * Quasihomogeneous distributions. 92g:46038 

Hui, Kin Ming A Fatou theorem for the solution of the heat equation at the corner points of 
acylinder. 92m:35106 

Kamynin, L.I. Applications of parabolic Pagni potentials to boundary value problems in 
mathematical physics. I. (Russian) 92¢:35078 

— Applications of parabolic Pagni potentials to boundary value problems in mathematical 
physics. II. (Russian) 92j:35079 

Liu, Xiu Pu Nonexistence theorems for solutions to exterior problems for semilinear elliptic 
systems. (Chinese. English summary) 92g:35073 

Marchioni, Giovanna Solvability in Gevrey spaces of convolution equations. (Italian. 
English summary) 92m:46054 

Miyagaki, Olimpio H. see Goncalves, J. V. A., 92d:35101 

Morgan, J.J. Global existence for semilinear parabolic systems on one-dimensional 
bounded domains. 92f:35079 

Morimoto, Hiroko On the existence of weak solutions of stationary Boussinesq equation. 
92g:35196 

Nicolosi, Francesco see Drabek, Pavel, 92k:35099 

Oskoikov, A. P. (with Shadiev, R. D.) On the theory of global solvability on [0, 00) of 
initial-boundary value problems for equations of motion of Oldroyd fluids and Kelvin- 
Voigt fluids. (Russian) 92¢:35133 

Palagachev, D. K. see Popivanov, Petr R., 92m:35096 

Popivanov, Petr R. (with Palagachev, D. K.) On the tangential oblique derivative problem 
for quasilinear elliptic operators. 92m:35096 

Robbiano, Luc Théoréme d’unicité adapté au contrdéle des solutions des problémes 
hyperboliques. [Uniqueness theorem adapted to the control of the solutions of hyperbolic 
problems] (see 924:35009) 

Rosinger, Elemer E. Characterization for the solvability of nonlinear partial differential 
equations. 92f:35042 

Russo, Alessandro Uniqueness results for a class of nonlinear problems. 92a:35067 

Shadiev, R. D. see Oskolkov, A. P., 92e:35133 

Subbotin, A. I. On a property of a subdifferential. (Russian) 92i:49033 

Torelli, Giovanni see De Simon, Luciano, 92g:35218 

Villarini, Massimo see Ceppitelli, Rita, 92d:35173 

Wen, Guo Chun see Begehr, Heinrich G. W.; et al., 92h:35158 

Yashkin, V.I. see Yurchuk, N. 1., 92k:35173 





537 1992 


Yarchuk, N. 1. (with Yashkin, V. 1.) On the classical solution of a mixed problem for a 
three-dimensional hyperbolic equation with central symmetry. (Russian) 92k:35173 

Zhao, Zhong Xin see Begehr, Heinrich G. W.; et al., 92h:35158 

Zheng, Yu Xi C i lation for the velocity fields in two-dimensional 
incompressible fluid flows. 92e:35131 





35A07 Local existence and uniqueness theorems [see also 35H05, 
35Sxx] 


Corli, Andrea (with Rodino, Luigi) The problem of the local solvability of the linear partial 
differential equations. 92m:35007 

Mendoza, Gerardo A. Solvability of partial differential equations. (Spanish) 92i:35002 

Rodino, Luigi see Corli, Andrea, 92m:35007 


Items with secondary classifications in 35A07 


Cziapinski, Tomasz A boundary value problem for quasilinear hyperbolic systems of partial 
differential-functional equations of the first order. (Italian summary) 92h:35229 

DeTurck, Dennis M. Local solvability for systems with “extra symbol equivariance”. 
92b:53053 

Ehrenpreis, Leon Lewy unsolvability and several complex variables. 92g:32038 

Igari, Katsuju Characteristic Cauchy problems and analytic continuation of holomorphic 
solutions. 92£:35010 

Lesky, Peter, Jr. Local existence for solutions of fully nonlinear wave equations. 92h:35143 

Matos, Marivaldo Pereira Mathematical analysis of the nonlinear model for the vibrations 
of a string. 92k:35191 

Mendoza, Gerardo A. (with Tréves, Francois) Local solvability in a class of overdetermined 
systems of linear PDE. 92i:58177 

Miller, Detlef Horst A new criterion for local nonsolvability of homogeneous left invariant 
differential operators on nilpotent Lie groups. 92f:22011 

Renardy, Michael An existence theorem for model equations resulting from kinetic theories 
of polymer solutions. 92b:35159 

Robbiano, Luc Théoréme d’unicité adapté au contréle des solutions des problémes 
hyperboliques. [A uniqueness theorem adapted to the control of solutions of hyperbolic 
problems] 92j:35002 

Treves, Francois see Mendoza, Gerardo A., 92i:58177 


35A08 Fundamental solutions 


Berest, Yu. Yu. Construction of fundamental solutions for Huygens equations as invariant 
solutions. (Russian) 92¢:35005 

Chang, Liang Ming (with Du, Qing Hua) Establishing fundamental solutions by using 
differential operator theory. (Chinese. English summary) 92d:35011 

Du, Qing Hua see Chang, Liang Ming; et al., 92d:35011 

Leray, Jean Expressions explicites des solutions fondamentales pour le demi-plan élastique. 
(English summary) [A closed form of fundamental solution for the elastic half-plane] 
92g:35005 

Pletner, Yu. D. Fundamental solutions of operators of Sobolev type. (Russian) 

— Fundamental solution of an equation of internal waves, and some initial-boundary value 
problems. (Russian) 92g:35006 

Shinkai, Kenzo Stokes multipliers and a weakly hyperbolic operator. 92¢:35006 


Items with secondary classifications in 35A08 

Alatancang Coefficient interchange properties of fundamental solutions to a class of 
differential equations. (Chinese. English summary) 92d:35071 

Badyukov, V. F. A method for constructing fundamental solutions in scattering problems. 
(Russian) 92h:35170 i 

Baranovskaya, S. N. Classical solution of a mixed problem for a one-dimensional hyperbolic 
equation. (Russian) 92g:35121 

Bondarenko, A. N. Singular structure of the fundamental solution of the transport equation, 
and inverse problems in particle scattering theory. (Russian) 

Chen, De Quan see Ji, Xin Hua, 92e:35113 

Darkhosh, Teymour Hyperbolicity of invariant wave equations. 92j:35116 

Ji, Xin Hua (with Chen, De Quan) A representation of the solution of the Cauchy’s prob- 
lem for a degenerate hyperbolic equation in several independent variables. 92e:35113 

Kecs, W. W. Generalized solution of the Cauchy problem for longitudinal vibrations in 
viscoelastic rods of Maxwell type. 92h:73030 

Kipriyanov, I. A. (with Kulikov, A. A.) Fundamental solutions of B-hypo-elliptic equations. 
(Russian) 92k:35057 

Kulikov, A. A. see Kipriyanov, I. A., 92k:35057 

Lopushans‘ka, G. P. An approach to the study of boundary value probl in spaces 
of distributions, and boundary integral equations. (Russian. Ukrainian summary) 
92j:35030 

Mantlik, Frank Partial differential operators depending analytically on a parameter. 
(French summary) 92m:35026 

Shinkai, Kenzo (with Taniguchi, Kazuo) Fundamental solution for a degenerate hyperbolic 
operator in Gevrey classes. 92m:35184 

Taniguchi, Kazuo A fundamental solution for a degenerate hyperbolic operator of second 
order and Fourier integral operators of complex phase. 92m:35185 

— see also Shinkai, Kenzo, 92m:35184 

Xu, Zhen Yuan' A function theory for the operator D — 2. 92b:47074 





35A10 Cauchy-Kovalevskaya theorems 


Heersink, Rudolf (with Tutschke, Wolfgang) * Solution of initial value problems of 
Cauchy-Kovalevskaya type satisfying a partial second order differential equation of 
prescribed type. 92m:35008 

Igari, Katsuju Characteristic Cauchy problems and analytic continuation of holomorphic 
solutions. 92f:35010 

Khavinson, Dmitry Singularities of harmonic functions in C". 92m:35009 


35A General theory 


35A15 


Kitagawa, Keiichiro Sur le théoreme de Cauchy-Kowalevski: une remarque sur le mémoire 
du méme titre de S. Mizohata. [On the Cauchy-Kovalevskaya theorem: remarks on a 
memoir by S. Mizohata] 92b:35007 

Matsumoto, Waichiré (with Yamahara, Hideo) On the Cauchy-Kowalevskaya theorem for 
systems. 92i:35003 

Parks, Harold R. An application of the Cauchy-Kowalewsky theorem: the minimal surface 
equation at corners. 92d:35012 

Tutschke, Wolfgang The Cauchy-Kowalewski theorems. (see 92i:00023) 

— see also Heersink, Rudolf, 92m:35008 

Yamahara, Hideo see Matsumoto, Waichiré, 92i:35003 


Items with secondary classifications in 35A10 


Maf'tseva, Zh. L. Unsteady long waves in a two-layer fluid. (Russian) 92a:76013 

Reissig, Michael A nonstationary nonlinear mixed problem for analytic functions. 
(Russian. English and Georgian summaries) 

Ryan, John Inner product algebras and the function theory of associated Dirac operators. 
92k:30066 

Tabor, M. Painlevé property for partial differential equations. (see 92f:58090) 


35A15 Variational methods 


Fang, Hui Zhong Variational problems and non-Dirichlet problems of quasilinear 
degenerate elliptic equations. 92h:35003 

Friedman, Avner * BapualMoHHbie NpHHWAMBI A 3aa4H CO CBOGOAHbIMH rpaHHllaMH. 
(Russian) [Variational principles and free-boundary problems] 92k:35005 

Li, Gong Bao see Yan, Shu Sen, 92¢:35008 

Lukovskii, I. A. (with Timokha, A. N.) The Bateman variational principle for a class of 
problems on the dynamics and stability of surface waves. (Russian. Ukrainian summary) 
92k:35006 

Rogowski, Andrzej Necessary conditions for optimality in problems with hyperbolic partial 
differential equations. 92e:35007 

(Rozhkovskaya, T. N.) see Friedman, Avner, 92k:35005 

Shah, Jayant Properties of energy-minimizing segmentations. 92k:35007 

Timokha, A. N. see Lukovskii, I. A., 92k:35006 

(Ural’tseva, N.N.) see Friedman, Avner, 92k:35005 

Yan, Shu Sen (with Li, Gong Bao) A minimization problem involving a critical Sobolev 
exponent and its related Euler-Lagrange equation. 92¢:35008 


Items with secondary classifications in 35A15 

Adimurthi Some remarks on the Dirichlet problem with critical growth for the n-Laplacian. 
92m:35083 

Alimov, M. M. Conditions for an extremum of filtration flow rate. (Russian) 92b:76084 

Allegretto, W. (with Yu, L.S.) On the existence of multiple decaying positive solutions of 
elliptic equations. 92f:35017 

Ambrosetti, Antonio (with Yang, Jian Fu) Asymptotic behaviour in planar vortex theory. 
(Italian summary) 924:35224 

Athanassoulis, G. A. (with Voutsinas, S. G.; Theodoulidis, A. A.) A Hamiltonian varia- 
tional principle for steady, nonlinear, free surface flows. (see 92a:65021) 

Bakhvalov, N.S. (with Eglit, M. E.) Variational properties of averaged equations of 
periodic media. (Russian) 92k:73006 

Ball, J. M. Dynamics and minimizing sequences. 92d:73007 

Broeze, Jan (with van Daalen, Edwin F.G.) Radiation boundary conditions for the two- 
dimensional wave equation from a variational principle. 92e:35099 

— see also van Daalen, Edwin F. G.; et al., 92e:35098 

Carriero, Michele (with Leaci, Antonio; Tomarelli, Franco) Plastic free discontinuities and 
special bounded Hessian. (French summary) 92m:49016 

Cederbaum, L.S. see Meyer, Hans-Dieter; et al., 92a:81214 

Chen, Wen Xiong (with Li, Congming) Prescribing Gaussian curvatures on surfaces with 
conical singularities. 92j:53004 

Chien, N. see Honein, T.; et al., 92d:58052 

van Daalen, Edwin F. G. (with Broeze, Jan; van Groesen, Embrecht) Variational principles 
and conservation laws in the derivation of radiation boundary conditions for wave 
equations. 92e:35098 

— see also Broeze, Jan, 92e:35099 

Debnath, Lokenath On linear and nonlinear water waves on a running stream. 92c:76008 

Dubois, Francois Une formulation tourbillon-vitesse-pression pour le probléme de Stokes. 
(English summary) [A vorticity-velocity-pressure formulation for the Stokes problem] 
92m:35203 

Eglit, M. E. see Bakhvalov, N. S., 92k:73006 

Floer, Andreas Elliptic methods in variational problems. 92k:58059 

Fonseca, Irene The Wulff theorem revisited. 92¢:49053 

van Groesen, Embrecht see van Daalen, Edwin F. G.; et al., 92e:35098 

Herrmann, G. see Honein, T.; et al., 92d:58052 

Honein, T. (with Chien, N.; Herrmann, G.) On conservation laws for dissipative systems. 
92d:58052 

Hordatek, J. see Meyer, Hans-Dieter; et al., 92a:81214 

Kinderlehrer, David (with Pedregal, Pablo) Weak convergence of integrands and the Young 
measure representation. 92m:49076 

Leaci, Antonio see Carriero, Michele; et al., 92m:49016 

Le Dret, Hervé * Problémes variationnels dans les multi-domaines. (French) [Variational 
problems in multidomains] 92k:73002 

Li, Congming see Chen, Wen Xiong, 92j:53004 

Lin, Chang-Shou (with Lin, Sung Shan) Positive radial solutions for Au + K(r)u("*?)/("-2 = 
0 in R” and related topics. 92m:35016 

Lin, Sung Shan see Lin, Chang-Shou, 92m:35016 

Lar’e, K. A. The extension of optimisation problems containing controls in the coefficients. 
922:49036 

Meyer, Hans-Dieter (with Horatek, J.; Cederbaum, L. S.) Schwinger and anomaly-free 
Kohn variational principles and a generalized Lanczos algorithm for nonsymmetric 
operators. 92a:81214 





35A15 


Motreanu, Dumitru Morse functions in variational and boundary value problems. (see 
92m:49004) 

Pankratov, L.S. Asymptotic behavior of solutions of variational problems in domains with 
“accumulators”. (Russian) 92k:49025 

Pedregal, Pablo see Kinderlehrer, David, 92m:49076 

Ruas, Vitoriano Une formulation vitesse-tourbillon des équations de Navier-Stokes 
incompressibles tridimensionnelles. (English summary) [A velocity-vorticity formulation 
of the three-dimensional incompressible Navier-Stokes equations] 92j:35147 

Sandier, Etienne Symétrie des applications harmoniques minimisantes d’une couronne vers 
la sphére. (English summary) [The symmetry of minimizing harmonic maps from an 
annulus to the sphere] 92k:58066 

Shelukhin, V. V. On the solution of linear evolution equations by the variational method. 
(Russian) 92i:34080 

— On a quadratic functional in a nonlocal boundary value problem for the heat equation. 
(Russian) 92d:35121 

Showalter, R. E. (with Walkington, Noel J.) Micro-structure models of diffusion in fissured 
media. 92e:35138 

Smirnov, Yu. G. The method of operator pencils in b 
for a system of elliptic equations. (Russian) 92m:35073 

Struwe, Michael * Variational methods. 92b:49002 

Theodoulidis, A. A. see Athanassoulis, G. A.; et al., (92a:65021) 

Tian, Mao Ying The general boundary value problem for nonlinear degenerate elliptic 
equation of second order in the plane. (see 92a:00039) : 

Tomarelli, Franco see Carriero, Michele; et al., 92m:49016 

Voutsinas, S.G. see Athanassoulis, G. A.; et al., (92a:65021) 

Walkington, Noel J. see Showalter, R. E., 92e:35138 

Yang, Jian Fu see Ambrosetti, Antonio, 92d:35224 

Yu, L.S. see Allegretto, W., 92f:35017 


hl 





y value p of conjugation 


35A20 Analytic methods, singularities 


Banasiak, Jacek (with Roach, Gary F.) On corner singularities of solutions to mixed 
boundary-value problems for second-order elliptic and parabolic equations. 92f:35011 
Beyerstedt, Ralf Removable singularities of solutions to elliptic Monge-Ampére equations. 
92j:35003 

Bolley, Pierre (with Camus, Jacques; Métivier, Guy) Vecteurs analytiques réduits et 
analyticité. (English summary) [Reduced analytic vectors and analyticity] 92c¢:35003 

Camus, Jacques see Bolley, Pierre; et al., 92c:35003 

Gérard, Raymond Une classe d’opérateurs non linéaires a singularité réguliére. [A class of 
nonlinear operators with regular singularity] (see 92m:00040) 

— (with Tahara, Hidetoshi) Holomorphic and singular solutions of nonlinear singular first 
order partial differential equations. 92b:35008 

Gronau, Detlef Partielle Differentialgleichungen im Komplexen, ein Uberblick. [Partial 
differential equations in the complex domain: a survey] (see 92m:00034) 

Hanges, Nicholas (with Tréves, Francois) On the analyticity of solutions of first-order 
nonlinear PDE. 92h:35004 

Kral, Josef Hausdorff measures and removable singularities of solutions of partial 
differential equations. (Czech) 92j:35004 

Lascar, B. (with Lascar, R.) Propagation des singularités Gevrey pour la diffraction. 
[Propagation of Gevrey singularities for diffraction] 92f:35012 

Lascar, R. see Lascar, B., 92f:35012 

Leichtnam, Eric Le probleme de Cauchy ramifié. I. [The ramified Cauchy problem. I] 
92e:35009 

— Le probléme de Cauchy ramifié semi-linéaire d’ordre deux. [The second-order semilinear 
ramified Cauchy problem] 92c:35004 

Liu, Lin Qi Propagation of stronger singularities of solutions to semilinear wave equations. 
92e:35010 

Madi, Nour Said (with Yoshino, Masafumi) Uniqueness and solvability of nonlinear 
Fuchsian equations. (French summary) 92b:35009 

— Probleme de Cauchy a deux variables fuchsiennes. [Cauchy problem with two Fuchsian 
variables] 92k:35008 

Métivier, Guy see Bolley, Pierre; et al., 92c:35003 

Meziani, Abdelhamid Condition P for singular real analytic differential forms in the plane. 
92k:35009 

Petrini, M. (with Sordoni, V.) Propagation of singularities for a class of hyperbolic 
operators with triple characteristics. 92f:35013 

Ralston, James V. Mixed problems since 1969. (see 92a:00036) 

Reissig, Michael A nonstationary nonlinear mixed problem for analytic functions. 
(Russian. English and Georgian summaries) 

Roach, Gary F. see Banasiak, Jacek, 92f:35011 

Sordoni, V. see Petrini, M., 92f:35013 

Tahara, Hidetoshi see Gérard, Raymond, 92b:35008 

Treves, Francois see Hanges, Nicholas, 92h:35004 

Urabe, Jiichiroh Meromorphic representations of the solutions of the singular Cauchy 
problem. II. 92¢:35005 

Vasil’ev, V. A. Lacunae of hyperbolic partial differential operators and singularity theory. 
(Russian) (see 92f:58004) 

Williams, Mark Interaction of singularities and propagation into shadow regions in 
semilinear boundary problems. 92¢:35011 

Yoshino, Masafumi see Madi, Nour Said, 92b:35009 


Items with secondary classifications in 35A20 
Alkhutov, Yu. A. Removable singularities of solutions of second-order parabolic equations. 
(Russian) 92m:35110 


Arisumi, T. Propagation of Gevrey singularities for a class of microdifferential operators. 
921:35004 


Babin, A. V. On the smoothness of solutions of differential equations at singular points of 
the domain boundary. (Russian) 92a:35031 
Baker, Greg Singularities in the complex physical plane. (see 92a:00036) 


PARTIAL DIFFERENTIAL EQUATIONS 1992 


Bardos, Claude Practical applications of the notions of propagation of singularities. 
92£:35025 

Beagles, A. E. (with Sandig, A.-M.) Singularities of rotationally symmetric solutions of 
boundary value problems for the Lamé equations. (German and Russian summaries) 
92i:73029 

Berhanu, S. (with Chanillo, Sagun) Boundedness of the FBI transform on Sobolev spaces 
and propagation of singularities. 92k:35307 

Caflisch, Russel E. Singularity formation for vortex sheets and hyperbolic equations. 
92c:76015 

Chanillo, Sagun see Berhanu, S., 92k:35307 

Chemin, Jean-Yves Evolution of a punctual singularity in an Eulerian flow. (see 92c:35002) 

Chen, Shu Xing Interaction of strong and weak singularities for hyperbolic systems of 
conservation laws in multidimensional space. 92a:35106 

Chen, Xue Nong see He, You Sheng; et al., 92d:76018 

(Chikhanov, Kh. A.) see Analytic methods for solving differential equations, 92d:35003 

Chlebik, M. (with Kral, Josef) Removable singularities of the functional wave equation. 
(German and Russian summaries) 92f:35140 : 

Cicognani, Massimo The geometric optics for a class of hyperbolic second order operators 
with Hélder continuous coefficients with respect to time. 92i:35075 

Cordaro, Paulo (with Tréves, Francois) Homology and cohomology in hypo-analytic 
structures of the hypersurface type. 92h:32034 

Dzhangibekov, G. A problem of linear conjugation of solutions to elliptic systems of 
differential equations with singular coefficients in the plane. (Russian) 92h:35063 

Egorov, Yurii Viadimirovich On the th of boundary values. (Russian) 92¢:35018 

El-Sabbagh, M. F. see Hassan, M. M., 92h:35141 

Gérard, Raymond (with Tahara, Hidetoshi) Théoréme du type Maillet pour une classe 
d’équations aux dérivées partielles analytiques singuliéres. (English summary) [A Maillet- 
type theorem for a class of singular analytic partial differential equations] 92g:35042 

Hassan, M. M. (with El-Sabbagh, M. F.) Transport equations of higher order discontinu- 
ities for quasilinear hyperbolic systems. 92h:35141 

He, You Sheng (with Lu, Chuan Jing; Chen, Xue Nong) Analytical solutions of singularities 
moving with an arbitrary path when two fluids are present. (Chinese. English summary) 
92d:76018 

Hlavaty, Ladislav On the Painlevé classification of partial differential equations. 92d:35020 

Hoshiro, Toshihiko On hypoellipticity for a certain operator with double characteristic. 
92d:35073 

Hrusa, William J. (with Messaoudi, Salim A.) On formation of singularities in one- 
dimensional nonlinear thermoelasticity. 92b:35152 

Kajitani, Kunihiko (with Wakabayashi, Seiichiro) Propagation of singularities for several 
classes of pseudodifferential operators. (French summary) 92m:35285 

Katrakhov, V. V. Singular boundary value problems for some elliptic equations in domains 
with corner points. (Russian) 92f:35054 

Khesin, B. A. Singularities of light hypersurfaces and structure of hyperbolicity sets for 
systems of partial differential equations. 92c:58145 

Kral, Josef see Chiebik, M., 92£:35140 

Kudryashov, N. A. (with Savina, T. V.) Invariant solutions of an equation of gas filtration in 
a porous medium for large Reynolds numbers. (Russian. English summary) 92f:76085 

Larin, A. A. Properties of the eigenfunctions of some singular elliptic operators. (Russian) 
92g:35155 

Liu, Tai-Ping Quasilinear hyperbolic-parabolic partial differential equations. 92e:35128 

Lu, Chuan Jing see He, You Sheng; et al., 92d:76018 

Messaoudi, Salim A. see Hrusa, William J., 92b:35152 

Nacinovich, Mauro Cauchy problem for overdetermined systems. (Italian summary) 
92a:35117 

Oganesyan, G. R. The weighted Dirichlet problem for a second-order singular elliptic 
equation. (Russian. English and Armenian summaries) 92m:35068 

Oh, Yong-Geun Removal of boundary singularities of pseudo-holomorphic curves with 
Lagrangian boundary conditions. 92k:58065 

Ohyama, Yousuke Self-duality and integrable systems. 92d:58086 

Ouchi, Sunao An integral representation of singular solutions and removable singularities of 
solutions to linear partial differential equations. 92b:35034 

von Petersdorff, T. (with Stephan, Ernst P.) Decompositions in edge and corner singularities 
for the solution of the Dirichlet problem of the Laplacian in a polyhedron. 92h:35053 

Petkov, Vesselin M. Singularities of the scattering kernel for nonconvex obstacles. 
92h:35173 

Radzhabov, N. R. Linear hyperbolic equations with two super singular lines. (see 92a:00039) 

Ruf, Bernhard Singularity theory and the geometry of a nonlinear elliptic equation. 
92d:35107 : 

Sandig, A.-M. see Beagles, A. E., 92i:73029 

Savina, T. V. see Kudryashov, N. A., 92f:76085 

Shinkai, Kenzo Stokes multipliers and a weakly hyperbolic operator. 92¢e:35006 

Shmarév, S. I. The instantaneous origin of singularities in a solution of a degenerate 
parabolic equation. (Russian) 92b:35083 

Sjistrand, Johannes Asymptotique des résonances pour des obstacles. [Asymptotics of 
resonances for obstacles] 92¢:35036 

Sogge, Christopher D. Propagation of singularities and maximal functions in the plane. 
92i:58192 

Stephan, Ernst P. see von Petersdorff, T., 92h:35053 

Tahara, Hidetoshi see Gérard, Raymond, 92g:35042 

Tasmambetov, Zh. N. Construction of the solution of a system of partial differential 
equations with a regular singularity by the generalized Frobenius method. (Russian) 
92k:35014 

Trépreau, Jean-Marie Propagation dans les variétés CR. [Propagation in CR manifolds] 
92d:32024 

— Sur la propagation des singularités dans les variétés CR. (English summary) [On the 
propagation of singularities in CR manifolds] 92b:58229 

Tréves, Francois see Cordaro, Paulo, 92h:32034 

Umezu, Kenichiro On the Cauchy problem for analytic semigroups with weak singularity. 
92m:47080 

Wakabayashi, Seiichiro see Kajitani, Kunihiko, 92m:35285 











539 1992 


Yanushauskas, Algimantas Some problems in the analytic theory of elliptic equations. 
(Russian. English and Lithuanian summaries) 92k:35112 

Yu, Yue Nian Reflection of progressing waves for quasilinear hyperbolic systems. 
924:35185 


Items listed otherwise than by author 


Analytic methods for solving differential equations * AHanuTH4uecKHe MeTObI pellieHua 
audepenunabHbix ypaBHenuk. (Russian) [Analytic methods for solving differential 
equations] 924:35003 


35A22 Transform methods (e.g. integral transforms) 


Bragg, L. R. Transmutations and ascent. 92m:35010 

Calderén, Alberto P. (with Sagher, Yoram) The Hilbert transform of the Gaussian. 
92k:35010 

Hanil, Jaroslav The Fourier method for the linear partial differential equations of the nth 
order. (Russian and Czech summaries) 924:35013 

— The Laplace method of the linear partial differential equations of the nth order. (Russian 
and Czech summaries) 924:35014 

Kalamkarov, A. L. (with Kudryavtsev, B. A.; Parton, V. Z.) Generalization of Fourier 
integral transform in boundary value probl for periodic nonhomogeneous medium. 
(French summary) 924:35015 

Kudryavtsev, B. A. see Kalamkarov, A. L.; et al., 924:35015 

Lluna Reig, Luis On a partial differential equation of fractional order. (Spanish. English 
summary) (see 92b:00044) 

— On the partial differential equations F,2,2 + aF,, + bF = ®(x,y); Fy2y2 + bF = O(x,y). 
(Spanish. English summary) (see 92b:00044) 

— On the partial differential equations F,s, + aF,2 + bF = ®(x,y) and Fy, + bF = (x,y). 
(Spanish. English summary) (see 92b:00044) 

— On the partial differential equation F,s + AF,2, + BF, + ABF, = (x,y). (Spanish. 
English summary) (see 92b:00044) 

Parton, V. Z. see Kalamkarov, A. L.; et al., 92d:35015 

Sagher, Yoram see Calderén, Alberto P., 92k:35010 

Thangavelu, S. Riesz transforms and the wave equation for the Hermite operator. 
92e:35012 





Items with secondary classifications in 35A22 

Anikonov, Yu. E. (with Shneiberg, I. Ya.) The Radon transformation with variable 
absorption. (Russian) 92¢:44002 

Bownds, John M. (with Rizk, Tony A.) The inverse Laplace transform of an exact analytical 
solution for a BVP in groundwater theory. 92m:35201 

Callebaut, D. K. see El Sheikh, M. G.; et al., 92c:73087 

Dimitrovski, Dragan (with Rajovié, Miloje) The physical significance and technical 
importance of transformations of Laplace areolars. (Macedonian. French summary) 
92m:44004 

El Sheikh, M. G. (with Khater, A. H.; Callebaut, D. K.) On the stationary vibrations of a 
rectangular plate subjected to stress prescribed partially at the circumference. 92c:73087 

Gregor, Jiti Convolutional solutions of partial difference equations. 92d:39012 

Gzyl, Henryk (with Jiménez, Raul) Probabilistic approach to wave propagation problems. 
I. 924:35017a 

— Probabilistic approach to wave propagation p 
924:35017b 

— Probabilistic approach to wave propagation problems. III. Brownian local times and 
waves in layered media. 92i:35076 

Iério, Rafael José, Jr. KdV, BO and friends in weighted Sobolev spaces. 92h:35209 

Jiménez, Rail see Gzyl, Henryk, 92d:35017a 

Khater, A. H. see El Sheikh, M. G.; et al., 92c:73087 

Majchrowski, Marian (with Rogulski, Jan) An inverse problem for a parabolic system of 
partial differential equations. 92g:35234 

Rajovi¢é, Miloje see Dimitrovski, Dragan, 92m:44004 

Rizk, Tony A. see Bownds, John M., 92m:35201 

Rogulski, Jan see Majchrowski, Marian, 92g:35234 

Saitoh, Saburou Isometrical identities and inverse formulas in the one-dimensional 
Schrédinger equation. 92g:35057 

Shneiberg, I. Ya. see Anikonov, Yu. E., 92c:44002 





. II. Boundary value problems. 


35A25 Other special methods 


Baghdasarian, A. Comments on the validity of a proposed counterexample on the method 
of decomposition. Comment on: “Adomian’s method of decomposition: critical review 
and examples of failure” [J. Comput. Appl. Math. 23 (1988), no. 3, 389-393; MR 
89k:35012] by Paul Nelson. 92g:35007 

Blender, Richard Iterative solution of nonlinear partial differential equations. 92d:35016 

Capitiski, Marek (with Cutland, Nigel J.) Statistical solutions of PDEs by nonstandard 
densities. 92h:35005 

Chait, Yossi see MacClwer, C. R., 92f:35015 

Coifman, Ronald R. (with Lions, Pierre-Louis; Meyer, Yves; Semmes, Stephen) Compacité 
par compensation et espaces de Hardy. [Compensated compactness and Hardy spaces] 
92f:35014 

Cutland, Nigel J. see Capitiski, Marek, 92h:35005 

Egorchenko, I. A. see Fushchich, V. 1., 92g:35008 

Fushchich, V.1. (with Egorchenko, I. A.) Reduction and solutions of a nonlinear equation 
for the vector potential. (Russian. English summary) 92g:35008 

Gevorgyan, O. V. Estimates for monomials in terms of quasipolynomials and the coercivity 
of quasidifferential operators. (Russian. English and Armenian summaries) 92c:35006 

Gzyl, Henryk (with Jiménez, Raul) Probabilistic approach to wave propagation problems. 
I. 924:35017a 

— Probabilistic approach to wave propagation problems. II. Boundary value problems. 
924:35017b 


35A General theory 


35A25 


Han, Wei Min Notes on: “A separation of the variables method for solving coupled systems 
of second-order partial differential equations: exact, approximate solutions and error 
bounds” [J. Comput. Appl. Math. 31 (1990), no. 2, 243-251; MR 91f:35013] by L. Jédar. 

Jiménez, Rail see Gzyl, Henryk, 92d:35017a 

(Jédar, Lucas) see Han, Wei Min 

Lions, Pierre-Louis see Coifman, Ronald R.; et al., 92f:35014 

MacCluer, C. R. (with Chait, Yossi) Choosing an inner p 
92f:35015 

Meyer, Yves see Coifman, Ronald R.; et al., 92f:35014 

Mikhailov, L.G. On the complex analysis methods for some classes of partial differential 
equations. (see 92d:00037) 

(Nelson, Paul, Jr.) see Baghdasarian, A., 92g:35007 

Riprich, Wolfgang Fine operatorentheoretisch-orientierte, funktionalanalytische 
Lésuhgsmethode fiir nichtlineare, raumliche Diffe ialgleichungsprobl erster Ord- 
nung. (English, Russian and Georgian summaries) [An operator-theoretically oriented 
functional-analytical solution method for nonlinear spatial problems of first-order differ- 
ential equations] 

Semmes, Stephen see Coifman, Ronald R.; et al., 92f:35014 

Tutschke, Wolfgang Introduction: the new methods of complex analysis. (see 92i:00023) 


Items with secondary classifications in 35A25 

Achdou, Yves (with Pironneau, Olivier) The x-method for the Navier-Stokes equations. 
(French summary) 92b:35120 

Adomian, George A. A review of the decomposition method and some recent results for 
nonlinear equations. 92h:00002a 

— A review of the decomposition method and some recent results for nonlinear equations. 
92h:00002b 

— Errata to: “A review of the decomposition method and some recent results for nonlinear 
equations”. 92h:00002c 

Aleksandrovich, I. N. Construction of differential operators that determine the solution of a 
differential equation of hyperbolic type. (Russian) (see 92d:35005) 

Bagrov, V.G. (with Samsonov, B. F.; Shapovalov, A. V.; Shirokov, I. V.) Complete sets of 
symmetry operators that contain a second-order operator, and the problem of separation 
of variables in the wave equation. (Russian) 92h:35117 

Bleuler, Konrad The Infeld factorization in relation to various problems in mathematical 
physics. (see 92a:00040) 

Brebbia, C. A. see Partridge, P. W.; et al., 92i:65178 

Firoozye, Nikan B. Optimal use of the translation method and relaxations of variational 
problems. 92h:49011 

Fuchs, J.C. Symmetry groups and similarity solutions of MHD equations. 92g:76083 

(Fushchich, V.1.) see Algebra-theoretic analysis of equations in mathematical physics, 
92b:35011 

Gerdt, V. P. (with Kostov, N. A.; Spasov, A. Ya.) Investigation of four wave interaction in 
y* theory using computer algebra methods. 92j:35176 

Guo, Fu Kui A method for solving a class of polynomial differential equations. (Chinese. 
English summary) 924:34018 

Haniél, Jaroslav A use of the Laplace method in differential equations. (Russian and Czech 
summaries) 

Huang, Jian Jun The triangular matrix method for reaction-diffusion systems. (Chinese. 
English summary) 92m:35131 

Huang, Lie De The efficiency of integral equation methods in mathematical problems of 
nonlinear phenomena. (see 92a:00039) 

Kashcheev, V. N. * SapucTHyeckHe MeTObI NOMyIeHHA pelleHHA HeMHeMHBIX ypaBHeHHA 
comuTouuKu. (Russian) [Heuristic methods for obtaining solutions of nonlinear equations 
of solitonics] 92g:35194 

Korotkov, D. Yu. * Metogpi npH6nuxeHHon dakTopH3allHn AA peuleHua ypaBHeHHA 
guMnTH4ecKoro Tuna. (Russian) [Approximate factorization methods for solving elliptic- 
type equations] 92d:65170 

Kostov, N. A. see Gerdt, V. P.; et al., 92j:35176 

Levenshtam, V. B. Higher approximations of the averaging method for a convection 
problem in a field of rapidly oscillating forces. (Russian) 

Miller, Willard, Jr. Mechanisms for variable separation in partial differential equations and 
their relationship to group theory. 92e:58237 

Miyake, Masatake Newton polygons and formal Gevrey indices in the Cauchy-Goursat- 
Fuchs type equations. 92f:45012 

Oecvel, Walter see Strampp, Walter, 92b:58108 

Partridge, P. W. (with Brebbia, C. A.; Wrobel, L. C.) * The dual reciprocity boundary 
element method. 92i:65178 

Pironneau, Olivier see Achdou, Yves, 92b:35120 

Pleshchinskaya, I. E. Method of potential equations in the theory of systems of the first- 
order linear partial-differential equations. (see 92h:00020) 

Rubel, Lee A. Closed-form solutions of some partial differential equations via quasi- 
solutions. II. 92j:35022 

Sadowski, Antoni Concerning some sequences of iterates in R"-space. 92e:39019 

Samsonov, B. F. see Bagrov, V. G.; et al., 92h:35117 

Shapovalov, A. V. see Bagrov, V. G.; et al., 92h:35117 

Shirokov, I. V. see Bagrov, V. G.; et al., 92h:35117 

Spasov, A. Ya. see Gerdt, V. P.; et al., 92j:35176 

Strampp, Walter (with Oevel, Walter) Recursion operators and Hamiltonian structures in 
Sato’s theory. 92b:58108 

Titskii, V. P. On the method of R-functions and the method of integral equations in the 
solution of problems in mathematical physics. (Russian) 92k:65185 

Wospakrik, Hans J. A direct heat kernel method for generating the conserved quantities of 
the ZS-AKNS system. 924:58092 

Wrobel, L. C. see Partridge, P. W.; et al., 92i:65178 


a 





that separates variables. 





Items listed otherwise than by author 

Algebra-theoretic analysis of equations in mathematical physics * Teopetuxo-anre6panuec- 
KH aHasu3 ypaBHeHHA MaTemMaTu4ecKon dbuzuKu. (Russian) [Algebra-theoretic analysis of 
equations in mathematical physics] 92b:35011 





35A27 


35A27 Microlocal methods; methods of sheaf theory and 
homological algebra in PDE [see also 32C38, 58G07] 


Arisumi, T. Propagation of Gevrey singularities for a class of microdifferential operators. 
92i:35004 

Derridj, Makhlouf Microlocalisation et estimations pour ,. [Microlocalization and 
estimates for 3,] (see 92£:35007) 

Helffer, B. (with Sjéstrand, Johannes) Semiclassical analysis for Harper’s equation. III. 
Cantor structure of the spectrum. (French summary) 92m:35011 

Kataoka, Kiyémi (with Tose, Nobuyuki) On microhyperbolic mixed problems. 92b:35010 

Marschall, Jiirgen Microlocal analysis for solutions of nonlinear partial differential 
equations in weighted function spaces. 92g:35009 

Popov, Georgi S. Quasimodes for the Laplace operator and glancing hypersurfaces. 
92e:35013 

Sa Barreto, Antonio On the interactions of conormal waves for semilinear wave equations. 
(see 92¢:35002) 

Sjéstrand, Johannes see Helffer, B., 92m:35011 

Tose, Nobuyuki see Kataoka, Kiyomi, 92b:35010 


Items with secondary classifications in 35A27 


Agliardi, Rossella Pseudo-differential operators of infinite order on J, (2, ey) and 
applications to the Cauchy problem for some elementary operators. (Italian summary) 
92m:35286 

(Beals, Michael) see Microlocal analysis and nonlinear waves, 92c:35002 

Berhanu, S. (with Chanillo, Sagun) Boundedness of the FBI transform on Sobolev spaces 
and propagation of singularities. 92k:35307 

Chanillo, Sagun see Berhanu, S., 92k:35307 

Chen, Hua! On the partially microlocal hypoellipticity for a class of totally characteristic 
operators with characteristics of constant multiplicity. 92g:35049 

— Microlocally tangential hypoellipticity for a class of totally characteristic k-evolution 
operators. 92¢:35054 

D’Agnolo, Andrea (with Schapira, Pierre) An inverse image theorem for sheaves with 
applications to the Cauchy problem. 92k:58260 

Gérard, Patrick Microlocal defect measures. 92k:35027 

(Houzel, Christian) see Kashiwara, Masaki, 92a:58132 

Kajitani, Kunihiko (with Wakabayashi, Seiichiro) Propagation of singularities for several 
classes of pseudodifferential operators. (French summary) 92m:35285 

Kashiwara, Masaki (with Schapira, Pierre) * Sheaves on manifolds. 92a:58132 

Leichtnam, Eric Le probleme de Cauchy ramifié semi-linéaire d’ordre deux. [The second- 
order semilinear ramified Cauchy problem] 92¢:35004 

Liu, Lin Qi Propagation of stronger singularities of solutions to semilinear wave equations. 
92e:35010 

Malgrange, B. * Equations différentielles a coefficients polynomiaux. (French) [Differential 
equations with polynomial coefficients] 92k:32020 

Melin, Anders Inverse problems and microlocal analysis. (see 92d:35009) 

(Melrose, Richard B.) see Microlocal analysis and nonlinear waves, 92c:35002 

Mendoza, Gerardo A. Solvability of partial differential equations. (Spanish) 92i:35002 

Morioka, Tatsushi Some remarks on microhypoelliptic operators of infinitely degenerate 
type. 92k:35060 

Ohyama, Yousuke Self-duality and integrable systems. 92d:58086 

Petrini, M. (with Sordoni, V.) Propagation of singularities for a class of hyperbolic 
operators with triple characteristics. 92f:35013 

(Rauch, Jeffrey) see Microlocal analysis and nonlinear waves, 92c:35002 

Sa Barreto, Antonio Second microlocal ellipticity and propagation of conormality for 
semilinear wave equations. 92h:35144 

Schapira, Pierre (with Schneiders, Jean-Pierre) Paires elliptiques. II. Classe d’Euler et 
indice. (English summary) [Elliptic pairs. II. Euler class and index] 92d:32017 

— see also Kashiwara, Masaki, 92a:58132 and D’Agnolo, Andrea, 92k:58260 

Schneiders, Jean-Pierre see Schapira, Pierre, 92d:32017 

Sordoni, V. see Petrini, M., 92f:35013 

Uchida, Motoo (with Zampieri, Giuseppe) Second microlocalization at the boundary and 
microhyperbolicity. 92a:32014 

Vicente, José L. Algebraic theory of linear systems of partial differential equations. (see 
92b:00044) 

Wakabayashi, Seiichiro see Kajitani, Kunihiko, 92m:35285 

Yu, Yue Nian Reflection of progressing waves for quasilinear hyperbolic systems. 
924:35185 

Zampieri, Giuseppe see Uchida, Motoo, 92a:32014 

Zaretskaya, M. A. On the spectrum of quadratic operators that are different from normal 
ones. (Russian) 92b:35110 

Zworski, Maciej Shift of the shadow boundary in high frequency scattering. 92e:58224 


Items listed otherwise than by author 

Microlocal analysis and its applications * Chdkyokusho kaiseki to sono Oyo. (Japanese) 
[Microlocal analysis and its applications] 92d4:58200 

Microlocal analysis and nonlinear waves * Microlocal analysis and nonlinear waves. 
92c:35002 

Microlocal analysis of differential equations * Bibun hdteishiki no chokyokusho kaiseki. 
[Microlocal analysis of differential equations] 92h:58186 

Minneapolis, MN * Microlocal analysis and nonlinear waves. 92c:35002 

Symposium: 
Microlocal Analysis and its Applications * Chokyokusho kaiseki to sono yo. (Japanese) 

[Microlocal analysis and its applications] 92d:58200 


Microlocal Analysis of Differential Equations * Bibun hoteishiki no chokyokusho kaiseki. 


[Microlocal analysis of differential equations] 92h:58186 
Workshop: 
Microlocal Analysis and Nonlinear Waves * Microlocal analysis and nonlinear waves. 
92¢:35002 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 540 


35A30 Geometric theory, characteristics, transformations 
[see also 58G35, 58G37] 


Abell, M. see Ames, W. F.; et al., 92e:35014 

Ames, W.F. (with Peters, J. E.; Abell, M.) Symmetry and semi-symmetry reduction in wave 
propagation and lubrication. 92e:35014 

Antoniou, Ioannis E. (with Misra, Baidyanath) Nonunitary transformation of conservative 
to dissipative evolutions. 92d:35018 

Athorne, Chris (with Nimmo, J. J.C.) On the Moutard transformation for integrable 
partial differential equations. 92k:35011 

Barannik, A. F. Reduction of the eikonal equation in the Minkowski space R, 4. (Russian) 
(see 92b:35011) 

— On aconnection between the Hamilton-Jacobi and the eikonal equation. (Russian) (see 
92b:35011) 

Barannik, L. F. Exact solutions of the multidimensional Liouville equation. (Russian) (see 
92b:35011) 

Bluman, George Potential symmetries. 92m:35012 

— (with Kumei, S.) Symmetry-based algorithms to relate partial differential equations. I. 
Local symmetries. 92e:35015 

— (with Kumei, S.) Symmetry-based algorithms to relate partial differential equations. II. 
Linearization by nonlocal symmetries. 92¢:35016 

Burnat, Marek On the qualitative and Fourier analysis for quasilinear autonomous 
hyperbolic systems. (see 92a:00036) 

Chen, Huai Yong see Xu, Xue Zi; et al., 92g:35014 

Chirkunov, Yu. A. Group classification of systems of first-order linear differential equations 
with two unknown functions in two variables. (Russian) 924:35019 

Chopik, V.I. (with Mironyuk, P. I.) Conditional invariance and reduction of the two- 
dimensional Khokhlov-Zabolotskaya equation. (Russian) (see 92b:35011) 

Cole, Julian D. Scale factors in similarity solutions. 92g:35010 

Duzhin, S. V. (with Lychagin, V. V.) Symmetries of distributions and quadrature of 
ordinary differential equations. 92g:35011 

Fedorchuk, V. M. Operators invariant under nonsplittable subgroups of the generalized 
Poincaré group P(1,4). (Russian) (see 92b:35011) 

Ferapontov, E. V. Autotransformations with respect to the solution, and hydrodynamic 
symmetries. (Russian) 92m:35013 

Fushchich, V. I. On a generalization of S. Lie’s method. (Russian) (see 92b:35011) 

— see also Algebra-theoretic analysis of equations in mathematical physics, 92b:35011 

Grundland, Alfred M. (with Martina, L.) On fluid dynamics equations from the point of 
view of the symmetry group reduction and Riemann invariants methods. 92g:35012 

Hlavaty, Ladislav On the Painlevé classification of partial differential equations. 924:35020 

Ibragimov, N. Kh. (with Torrisi, Mariano; Valenti, Antonino) Preliminary group classifica- 
tion of equations vy, = f(x, Vx)Uxx + g(x, Ux). 92m:35014 

Kichenassamy, Satyanad Symmetrization on the sphere and applications. 92i:35005 

Krylov, A. V. Justification of the method of internal averaging along characteristics of 
weakly nonlinear systems. II. (Russian. English and Lithuanian summaries) 92c:35007 

Kumei, S. see Bluman, George, 92¢:35015 and 92¢:35016 

Lychagin, V. V. see Duzhin, S. V., 92g:35011 

Magnanini, Rolando On functions whose curves of steepest descent are straight lines. 
92d:35021 

Martina, L. see Grundland, Alfred M., 92g:35012 

Mironyuk, P. I. see Chopik, V. I., (92b:35011) 

Misra, Baidyanath see Antoniou, Ioannis E., 92d:35018 

Mitropol'skii, Yu. A. (with Shul‘ga, M. V.) Approximate symmetry of the nonlinear heat 
equation. (Russian. Ukrainian summary) 92g:35013 

Nezbailo, T. G. Transformation of partial differential equations into ordinary differential 
equations. (Russian) (see 92f:00018) 

Nimmo, J. J.C. see Athorne, Chris, 92k:35011 

Nixon, J.H. Application of Lie groups and differentiable manifolds to general methods for 
simplifying systems of partial differential equations. 92e:35017 

Onufriichuk, S. P. Invariance algebra for the two-particle Breit equation. (Russian) (see 
92b:35011) 

Peters, J. E. see Ames, W. F.; et al., 92e:35014 

Popovich, R. E. Symmetry properties of an integro-differential equation of Hartree type. 
(Russian) (see 92b:35011) 

Pucci, Edvige (with Saccomandi, Giuseppe) On the weak symmetry groups of partial 
differential equations. 92k:35012 

Rudykh, G. A. (with Semenov, E. I.) Commutational representations and Backlund trans- 
formations for the one-dimensional nonlinear equation of evolution. (see 92m:49004) 

Saccomandi, Giuseppe see Pucci, Edvige, 92k:35012 

Semenov, E. I. see Rudykh, G. A., (92m:49004) 

Shtelen’, V. M. Solutions of the Schrodinger equation that are invariant with respect to the 
Lorentz algebra. (Russian) (see 92b:35011) 

Shul/ga, M. V. Symmetry of subsets of solutions of the nonlinear wave equation for a 
complex field. (Russian) (see 92b:35011) 

— see also Mitropol'skii, Yu. A., 92g:35013 

Smalii, V. F. A Galilei-invariant generalization of the Schiff equation. (Russian) (see 
92b:35011) 

Spichak, S. V. Vector representation of the Poincaré algebra and exact solution of the Dirac 
equation. (Russian) (see 92b:35011) 

Takei, Yoshitsugu The geometry of bicharacteristics and the global existence of holomor- 
phic solutions of systems of linear differential equations. 92k:35013 

Tenenblat, Keti Multidimensional equations and differential geometry. 92e:35018 

Torrisi, Mariano see Ibragimov, N. Kh.; et al., 92m:35014 

Tychinin, V. A. Nonlocal symmetries and exact solutions of the nonlinear wave equation. 
(Russian) (see 92b:35011) 

— Nonlinear equations associated with the Euler-Ampére transformation with Korteweg-de 
Vries equations, their exact solutions and nonlocal symmetries. (Russian) (see 92d:00021) 

Valenti, Antonino see Ibragimov, N. Kh.; et al., 92m:35014 

von Wolfersdorf, Lothar On an electromagnetic inverse problem for dispersive media. 
92d:35022 





541 1992 


Xu, Xue Zi (with Chen, Huai Yong) Application of one-parameter groups of transformation 
in mechanics. (Chinese. English summary) 92g:35014 

Zhdanov, R. Z. General solution of a two-dimensional nonlinear Galilei-invariant spinor 
equation. (Russian) (see 92b:35011) 


Items listed otherwise than by author 
Algebra-theoretic analysis of equations in mathematical physics * Teopetuxo-anre6panuec- 


KHH aHasIn3 ypaBHeHHA MaTeMaTH4ecKon usuKH. (Russian) [Algebra-theoretic analysis of 
equations in mathematical physics] 92b:35011 


Items with secondary classifications in 35A30 

Abdinazarov, S. see Dzhuraev, T. D., 92f:35046 

Alavidze, T.G. Pointwise factorization of systems of evolution equations. (Russian) 
92b:58033 

Ancona, Alano (with Taylor, John Christopher) Some remarks on Widder’s theorem and 
uniqueness of isolated singularities for parabolic equations. (see 92m:00047) 

Andreev, V. K. A group classification of equations of one-dimensional motions of a gas in 
Lagrangian coordinates. (Russian) 92a:76074 

Angenent, Sigurd Parabolic equations for curves on surfaces. II. Intersections, blow-up and 
generalized solutions. 92b:58039 

Arrigo, D. J. Group properties of uxx — uy'uyy = f(u). 92j:35122 

Baikov, V. A. ‘with Gazizov, R. K.; Ibragimov, N. Kh.) Approximate symmetries and 
conservation laws. (Russian) 92m:58151 

Bakkaloglu, A. see Suhubi, Erdogan S., 92k:35177 

Bartaék, Jaroslav (with Vejvoda, Otto) Periodic solutions to linear partial differential 
equations of the first order. 92d:35036 

Bayada, G. see El Alaoui Talibi, M., 92k:76024 

Berkovich, L.M. Transformation of variables as a method for finding exact invariant 
solutions of the Kolmogorov-Petrovskii-Piskunov equation and related nonlinear heat 
equations. (Russian) 

Bernardi, Enrico (with Nishitani, Tatsuo) Remarks on symmetrization of 2 x 2 systems and 
the characteristic manifolds. 92k:35176 

Bharathikannan, R. see Porsezian, K.; et al., 92d:35258 

Bochkareva, O. V. Boundary value problems that have solutions with an infinite jump on 
lines of the characteristic degeneracy of a hyperbolic equation. (Russian) (see 92f:35003) 

Boillat, Guy Sur l’équation générale de Monge-Ampére 4 plusieurs variables. (English 
summary) [On the general Monge-Ampére equation in several dimensions] 92h:35069 

Boiti, M. (with Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. K.) New features of 
Backlund and Darboux transformations in 2 + 1 dimensions. 92i:58167 

Burchard, Paul Differential operators on cones. 92h:32013 

Caffarelli, Luis A. The regularity of mappings with a convex potential. 92j:35018 

Calogero, F. (with De Lillo, S.) The Burgers equation on the semiline with general boundary 
conditions at the origin. 92a:35137 

Carillo, Sandra see Fuchssteiner, Benno; et al., 92i:35109 

Chau, Ling-Lie (with Shao, Chin Ch’ang; Yen, Huang Ch’é) An alternative explicit 
construction of N-soliton solutions in 1 + 1 dimensions. 92h:35198 

Chemin, Jean-Yves Persistance des structures géométriques liées aux poches de tourbillon. 
[Persistence of geometric structures associated with vortex patches] (see 92:35007) 

Chen, Hua’ On the partially microlocal hypoellipticity for a class of totally characteristic 
operators with characteristics of constant multiplicity. 92g:35049 

— Well-posedness of Gevrey classes of the Cauchy problem for a class of totally char- 
acteristic hyperbolic operators with characteristic of constant multiplicity. (Chinese) 
92m:35162 

Cheng, Yi! see Li, Yi Shen; et al., 92b:58102 

Chrastina, Jan On formal theory of differential equations. III. (Czech summary) 92g:58137 

Cohen de Lara, Michel A note on the symmetry group and perturbation algebra of a 
parabolic partial differential equation. 92g:35095 

Dafermos, C. M. (with Geng, Xiao) Generalized characteristics uniqueness and regularity 
of solutions in a hyperbolic system of conservation laws. (French summary) 92h:35135 

Daniel, Muthiah see Porsezian, K.; et al., 92d:35258 

Darkhosh, Teymour Hyperbolicity of invariant wave equations. 92j:35110 

De Lillo, S. Initial-boundary value problem for integrable equations. 92g:35191 

— see also Calogero, F., 92a:35137 

Donato, Andrea Nonlinear waves. 92h:35123 

Dorodnitsyn, V. A. (with Svirshchevskii, S. R.) Group properties of a system of equations 
for the inversion of a wave front of optic radiation in nonlinear media. (Russian. English 
summary) 92g:35207 

Dubrovskii, V.G. (with Konopel’chenko, B. G.) On the interrelation between the solutions 
of the mKP and KP equations via the Miura transformation. 92i:35108 

Dzhuraev, Dzh. T. A boundary value problem for a parabolic-hyperbolic equation with two 
noncharacteristic lines of change of type. (Russian) 92g:35145 

Dzhuraev, T. D. (with Abdinazarov, S.) A nonclassical boundary value problem for a 
higher-order equation with multiple characteristics. (Russian) 92f:35046 

Edelen, Dominic G. B. Ideals and solutions of nonlinear field equations. 92a:58004 

— (with Wang, Jian Hua”) Transformation methods for solving nonlinear field equations. 
92d:58222 

El Alaoui Talibi, M. (with Bayada, G.) Une méthode du type caractéristique pour la 
résolution d’un probléme de lubrification hydrodynamique en régime transitoire. (English 
summary) [A characteristic-type method for the solution of a hydrodynamical lubrication 
problem in transient mode] 92k:76024 

El-Sabbagh, M. F. The Painlevé property and coordinate transformations. 92k:58246 

Fava, Franco (with Garbiero, Sergio) The Backlund problem for the equation f(x, t)Zx. — 
Z = 0. (Italian summary) 92e:58238 

Ferapontov, E. V. * Ipeo6pa3osanua Boxnynaa runep6ommueckux cuctem Auddep- 
CHI{MaJIbHBIX ypaBHeHuA. (Russian) [Backlund transformations of hyperbolic systems of 
differential equations] 92a:35104 

Fokas, Athanassios S. Integrable nonlinear equations. 92j:58048 

Fordy, Allan P. Integrable equations associated with simple Lie algebras and symmetric 
spaces. (see 92f:58090) 

— Prolongation structures of nonlinear evolution equations. (see 92f:58090) 


35A General theory 


35A30 


Fuchssteiner, Benno (with Schulze, Thorsten; Carillo, Sandra) Explicit solutions for the 
Harry Dym equation. 92i:35109 

Fushchich, V.1. (with Serov, N. 1.) Conditional invariance and reduction of a nonlinear 
heat equation. (Russian. English summary) 92a:35083 

— (with Serov, N. I.; Repeta, V. K.) Conditional symmetry, reduction and exact solutions of 
the nonlinear wave equation. (Russian. English summary) 92h:35140 

— (with Serov, N. I.) Conditional invariance of the nonlinear wave equation. (Russian. 
Ukrainian summary) 92b:35096 

Galas, F. (with Richter, E. W.) Exact similarity solutions of ideal MHD equations for plane 
motions. 92¢:76063 

Gandarias-Niiiez, M. L. (with Ramirez-Labrador, J.; Pérez Cuéllar, A.) A group- 
classification problem for a reaction-diffusion equation. (Spanish. English summary) (see 
92b:00044) 

— see also Pérez Cuéllar, A.; et al., (92b:00044) 

Garbiero, Sergio see Fava, Franco, 92e:58238 

Gautrin, H.-F. (with Grundland, Alfred M.) Invariance algebra for Euler equations. 
92g:58135 

Gazizov, R. K. see Baikov, V. A.; et al., 92m:58151 

Ge, Zhong Equivariant symplectic difference schemes and generating functions. 92h:58068 

Gegelia, J.T. (with Markovskii, B. L.) * Symmetry of the homogeneous linear partial 
differential equations and separation of variables. 92f:35045 

Geng, Xiao see Dafermos, C. M., 92h:35135 

Gémez, R. (with Winicour, J.; Isaacson, R.) Evolution of scalar fields from characteristic 
data. 92j:65148 

Grebenév, V. N. On a coordinate transformation in a problem with a free boundary. 
(Russian) 92k:35295 

Grillakis, Manoussos G. (with Shatah, Jalal; Strauss, Walter Alexander) Stability theory of 
solitary waves in the presence of symmetry. II. 92a:35135 

Grinevich, P.G. (with Orlov, A. Yu.) Effect of additional symmetries of K-P equation on 
finite-gap solutions and variations of Riemann surfaces. The Krichever-Novikov problem. 
(see 92i:58002) 

Grundland, Alfred M. (with Lawruk, Bohdan) The Lagrange-Riemann method for 
integration of quasilinear partial differential equations. 924:35183 

— see also Gautrin, H.-F., 92g:58135 

Gu, Xin Shen Multiple Darboux transformations and multiple pole solutions for AKNS 
hierarchy. 924:35247 

— Double Darboux transformation for AKNS hierarchy. 92i:35118 

Gu, Zhu Quan New integrable systems and the mKdV hierarchy. 92m:58059 

Gundersen, Roy M. Three-dimensional n-tuple sine-Gordon and related equations. 
92a:35140 

Guo, Bo Ling (with Pan, Xing De) Similarity transformation, the structure of the traveling 
waves solution and the existence of a global smooth solution to generalized Kuramoto- 
Sivashinsky type equations. 92d:35249 

Guo, Fu Kui A bilinear Backlund transformation with two parameters for the Boussinesq 
equation. (Chinese. English summary) 92g:35193 

Hanges, Nicholas (with Tréves, Francois) On the analyticity of solutions of first-order 
nonlinear PDE. 92h:35004 

van den Hijligenberg, N. W. see Roelofs, G. H. M., 92e:58195 

Hu, Xing Biao (with Li, Yong®) Some results on the Caudrey-Dodd-Gibbon-Kotera-Sawada 
equation. 92d:35250 

Huang, Nian Ning Darboux transformations for the Korteweg-de Vries equation. 92j:35161 

Ibragimov, N. Kh. see Baikov, V. A.; et al., 92m:58151 

Isaacson, R. see Gomez, R.; et al., 92j:65148 

Kamran, Niky Contributions to the study of the equivalence problem of Elie Cartan and its 
applications to partial and ordinary differential equations. (French summary) 92h:58008 

Khabibullin, I. T. Backlund transformation and integrable initial-boundary value problems. 
(Russian) 92c:35107 

Khesin, B. A. Singularities of light hypersurfaces and structure of hyperbolicity sets for 
systems of partial differential equations. 92¢:58145 

Kingston, J.G. On point transformations of evolution equations. 92¢:35054 

— (with Sophocleous, C.) On point transformations of a generalised Burgers equation. 
92a:35142 

— see also Sophocleous, C., 92k:35250 

Kitaev, A. V. Quadratic transformations for the sixth Painlevé equation. 924:34014 

Kolesnik, A. D. Lie symmetries of the equation of Markov random evolution in the plane. 
(Russian) 92k:35304 

Konopel’chenko, B. G. see Dubrovskii, V. G., 92i:35108 

Koranyi, Adam Transformation properties of the generalized Muirhead operators. 
92b:35156 

Kosmodem’yanskii, A. A., Jr. Isoperimetric estimates for the solution of the second 
boundary value problem for the Poisson equation. (Russian) 92m:35051 

Krein, S. G. (with Pesenson, I. Z.) * Ilpocrpanctsa rmaqKHXx 3eMeHTOB, NOPOKACHHbIX 
npeyctapenuem rpynnsi JIu. (Russian) [Spaces of smooth elements generated by the 
representation of a Lie group] 92g:22023 

Lawruk, Bohdan see Grundland, Alfred M., 924:35183 

Leichtnam, Eric Le probleme de Cauchy ramifié. I. [The ramified Cauchy problem. I] 
92¢e:35009 

Lenyuk, M. P. (with Shinkarik, N.1I.) Integral Mehler-Fock transformations of the first kind 
on a polar axis with one conjugate point. (Russian) 92m:44011 

Li, YiShen (with Cheng, Yi!) Symmetries in (1 + 1)-dimensional integrable system with 
their algebraic structures and conserved quantities. 92b:58102 

Li, Yong’ see Hu, Xing Biao, 92d:35250 

Lou, Sen Yue Pseudopotentials, Lax pairs and Backlund transformations for some variable 
coefficient nonlinear equations. 924:35252 

Ma, Wen Xiu Generators of vector fields and time dependent symmetries of evolution 
equations. 92i:58077 

Madi, Nour Said (with Yoshino, Masafumi) Uniqueness and solvability of nonlinear 
Fuchsian equations. (French summary) 92b:35009 

Markovskii, B. L. see Gegelia, J. T., 92f:35045 

Meyer, Richard E. On exponential asymptotics for nonseparable wave equations. I. 





35A30 


Complex geometrical optics and connection. 92m:35059 

Michalski, Marek W. n-dimensional characteristic probl 
noninteger order. 92j:35115 

Miller, Willard, Jr. Mechanisms for variable separation in partial differential equations and 
their relationship to group theory. 92e:58237 

Miyake, Masatake Characterizations of the well posed Cauchy problem for a system in a 
complex domain. 92e:35052 

Murakami, Youichi see Tajiri, Masayoshi, 92h:35193 

Nakamura, Gen Existence and propagation of Rayleigh waves and pulses. 92j:35109 

Natterer, Frank An inverse problem for a transport equation and integral geometry. 
92d:35302 

Nikitin, A.G. Superalgebras of symmetry operators of the Dirac equation. (Russian) (see 
92b:35011) 

— (with Prilipko, A. I.) Generalized Killing tensors and the symmetry of the Klein-Gordon- 
Fock equation. (Russian. English summary) 92b:58250 

Nishitani, Tatsuo see Bernardi, Enrico, 92k:35176 

Oliveri, Francesco Derivation of the substitution principle in gas-dynamics by means of Lie 
group techniques. 92a:76076 

Olver, Peter J. Internal symmetries of differential equations. 92e:58239 

Orlov, A. Yu. see Grinevich, P. G., (92i:58002) 

Pan, Xing De see Guo, Bo Ling; et al., 92d:35249 

Pempinelli, F. see Boiti, M.; et al., 92i:58167 

Pérez Cuéllar, A. (with Gandarias-Niifiez, M. L.; Ramirez-Labrador, J.) An admissible 
Lie-Backlund group for a reaction-diffusion equation. (Spanish. English summary) (see 
92b:00044) 

— see also Gandarias-Niiiez, M. L.; et al., (92b:00044) 

Pesenson, I. Z. see Krein, S. G., 92g:22023 

Pogrebkov, A. K. see Boiti, M.; et al., 92i:58167 

Polivanov, M. K. see Boiti, M.; et al., 92i:58167 

Porsezian, K. Backlund transformations and explicit solutions of certain inhomogeneous 
nonlinear Schrédinger-type equations. 92f:35132 

— (with Daniel, Muthiah; Bharathikannan, R.) Generalized x-dependent Hirota equation: 
singularity structure, Backlund transformation and soliton solutions. 924:35258 

Post, Gerhard On Backlund transformations and identities in bilinear form. 92b:58253 

Prilipko, A. I. Hidden symmetry of the Kemmer-Duffin-Pétiau equation. (Russian) (see 
92b:35011) 

— see also Nikitin, A. G., 92b:58250 

Punithavathi, P. see Tamizhmani, K. M., 92b:35136 and 92b:58209 

Ramirez-Labrador, J. see Gandarias-Niiiez, M. L.; et al., (92b:00044) and Pérez Cuéllar, A.; 
et al., (92b:00044) 

Repeta, V. K. Some conditionally invariant solutions of the nonlinear wave equation. 
(Russian) (see 92b:35011) 

— see also Fushchich, V. L.; et al., 92h:35140 

Richter, E.W. see Galas, F., 92e:76063 

Roelofs, G. H. M. (with van den Hijligenberg, N. W.) Prolongation structures for 
supersymmetric equations. 92e:58195 

Rollins, David K. Painlevé analysis and Lie group symmetries of the regularized long-wave 
equation. 

Roy Choudhury, S. Painlevé analysis and partial integrability of a class of reaction-diffusion 
equations. 92k:35149 

Riprich, Wolfgang Complex forms of partial differential equations. (see 92i:00023) 

Rybnikov, A. K. The geometry of the solutions of a third-order partial differential equation. 
(Russian) 92h:53018 

Saccomandi, Giuseppe (with Salvatori, M. C.) Conservation laws for the von Karman 
equations of a thin plate. (Italian summary) 92g:35136 

Sakovich, S. Yu. Fujimoto-Watanabe equations and differential substitutions. 92c:58137 

Salvatori, M.C. see Saccomandi, Giuseppe, 92g:35136 

Schulze, Thorsten see Fuchssteiner, Benno; et al., 92i:35109 

Senashov, S. I. Group analysis of equations of an anisotropic ideally plastic medium. 
(Russian) 92f:73025 

Serov, N. I. Conditional invariance of a nonlinear semi-wave equation with respect to a 
conformal algebra. (Russian) (see 92b:35011) 

— see also Fushchich, V. I., 92a:35083; 92b:35096 and 92h:35140 

Serova, M. M. see Shulgin, V. V., (92b:35011) 

Shao, Chin Ch’ang see Chau, Ling-Lie; et al., 92h:35198 

Shatah, Jalal see Grillakis, Manoussos G.; et al., 92a:35135 

Shemarulin, V. E. The basis of contact conservation laws in one-dimensional gas dynamics. 
(Russian) 92m:76116 

Shinkarik, N. I. see Lenyuk, M. P., 92m:44011 

Shulgin, V. V. (with Serova, M. M.) Determination of the rheological characteristics of a 
viscoelastic medium by group methods. (Russian) (see 92b:35011) 

Simulik, V.M. A connection between the symmetry properties of the Dirac and Maxwell 
equations and conservation laws. (Russian. English summary) 92i:81109 

Sophocleous, C. (with Kingston, J.G.) A class of Backlund transformations for equations 
of the type uxy = f(u, ux). 92k:35250 

— Miura-type transformations. 92k:35251 

— see also Kingston, J. G., 92a:35142 

Strauss, Walter Alexander see Grillakis, Manoussos G.; et al., 92a:35135 

Suhubi, Erdogan S. (with Bakkaloglu, A.) Group properties and similarity solutions for a 
quasi-linear wave equation in the plane. 92k:35177 

Svirshchevskii, S. R. see Dorodnitsyn, V. A., 92g:35207 

Tajiri, Masayoshi (with Murakami, Youichi) Rational growing mode: exact solutions to the 
Boussinesq equation. 92h:35193 

Tamizhmani, K. M. (with Punithavathi, P.) Addendum to: “The infinite-dimensional 
Lie algebraic structure and the symmetry reduction of a nonlinear higher-dimensional 
equation” [J. Phys. Soc. Japan 59 (1990), no. 3, 843-847; MR 91¢:58160]. 92b:58209 

— (with Punithavathi, P.) Similarity reductions and Painlevé property of the coupled 
higher-dimensional Burgers’ equation. 92b:35136 

Taylor, John Christopher see Ancona, Alano, (92m:00047) 

Tenenblat, Keti On the intrinsic generalized wave and sine-Gordon equations. 92h:35214 





for the Mang) equation of 


PARTIAL DIFFERENTIAL EQUATIONS 


Tréves, Francois see Hanges, Nicholas, 92h:35004 

Tsujishita, Toru Homological method of computing invariants of systems of differential 
equations. 92h:58184 

Vassiliou, P. J. Geometry and the method of Darboux. 92g:35128 

Vejvoda, Otto see Bartak, Jaroslav, 92d:35036 

Vinogradov, A. M. Scalar differential invariants, diffieties and characteristic classes. 
92¢e:58244 

Vinogradov, V.S. On the reduction of a first-order elliptic system in the plane to a complex 
special form. (Russian) 92k:35084 

Vorob’ev, E.M. Reduction and quotient equations for differential equations with symme- 
tries. 92i:58206 

Wang, Jian Hua’ see Edelen, Dominic G. B., 92d:58222 

Weiss, John Backlund transformations and the Painlevé property. 92d:58192 

— Backlund transformations and the Painlevé property. 924:58191 

Williams, Mark Interaction of singularities and propagation into shadow regions in 
semilinear boundary problems. 92e:35011 

Winicour, J. see Gémez, R.; et al., 92j:65148 

Winternitz, Pavel Kac-Moody-Virasoro symmetries of integrable nonlinear partial 
differential equations. 92¢:58055 ‘ 

Xie, Han Guang (with Xu, Bao Zhi) The Backlund transformations for the sine-Gordon 
equation with nonuniformity terms and the permutability theorem. (Chinese. English 
summary) 92h:35215 

Xu, Bao Zhi see Xie, Han Guang; et al., 92h:35215 

Yamilov, R. I. Invertible substitutions of variables generated by Backlund transformations. 
(Russian. English summary) 92¢:58196 

Yen, Huang Ch’é see Chau, Ling-Lie; et al., 92h:35198 

Yoshino, Masafumi see Madi, Nour Said, 92b:35009 


35A35 Theoretical approximation to solutions 


Hamann, Uwe (with Wildenhain, Giinther) Approximation by solutions of elliptic 
boundary value problems. 92f:35016 

Tasmambetov, Zh. N. Construction of the solution of a system of partial differential 
equations with a regular singularity by the generalized Frobenius method. (Russian) 
92k:35014 

Wildenhain, Giinther see Hamann, Uwe, 92f:35016 


Items with secondary classifications in 35A35 


Acker, Andrew On the multi-layer fluid problem: regularity, uniqueness, convexity, and 
successive approximation of solutions. 92k:35290 

Alekseev, A. A. (with Kudryashov, N. A.) The Wahlquist-Estabrook method for evolution 
equations with a small parameter: a technique of approximating pseudopotentials. 
92m:35217 

Ansorge, Rainer (with Lei, JinGan) The convergence of discretization methods if applied 
to weakly formulated problems. Theory and examples. (German and Russian summaries) 
92:65063 

Dinh Nho Hao see Tran-Di’c Van 

Dobrokhotov, S. Yu. (with Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A. I.) Asymptotic 
rapidly decreasing solutions of linear strictly hyperbolic systems with variable coefficients. 
(Russian) 92d:35172 

Doelman, Arjen Finite-dimensional models of the Ginzburg-Landau equation. 92b:35139 

Du, Ming Sheng On stability and convergence of the finite difference methods for the 
nonlinear pseudo-parabolic system. 92k:65121 

Dzhuraev, Kh. Sh. A regularizing algorithm for constructing approximate solutions of the 
Cauchy problem for the Helmholtz equation. (Russian. Tajiki summary) 

Funaro, Daniele (with Kavian, Otared) Approximation of some diffusion evolution 
equations in unbounded domains by Hermite functions. 92k:35156 

Gafiichuk, V. V. (with Lubashevskii, I. A.; Osipov, V. V.) * JuHamuxka dopmupoBaHHa 
MIOBEPXHOCTHBIX CTPyKTyp B CHCTeMax Co cBO6ogHOHK rpaHuuek. (Russian) [Dynamics of the 
formation of surface structures in systems with a free boundary] 92b:35176 

Gorbaichuk, V. I. Inverse theorems of approximation by special continuation operators and 
their applications to some problems in mathematical physics. (Russian) 92m:41050 

Hamann, Uwe Approximation durch Lésungen elliptischer Randwertprobieme auf offenen 
Mengen. I. (English and Russian summaries) [Approximation on open sets by solutions of 
elliptic boundary value problems. I] 92h:35062 

Han, Hou De (with Wu, Xiao Nan) The approximation of the exact boundary conditions at 
an artificial boundary for linear elastic equations and its applications. 92k:35076 

Kamont, Zdzislaw (with Zacharek, S.) Line method approximations to the initial- 
boundary value problem of Neumann type for parabolic differential-functional equations. 
92j:65182 

Kavian, Otared see Funaro, Daniele, 92k:35156 

Kudryashov, N. A. see Alekseev, A. A., 92m:35217 

Lasiecka, Irena (with Sokotowski, Jan; Neittaanmaki, Pekka) Regularization and finite 
element approximation of the wave equation with Dirichlet boundary data. 924:65195 

Lei, Jin Gan see Ansorge, Rainer, 92f:65063 

Leszezynski, Henryk General finite difference approximation to the Cauchy problem for 
nonlinear parabolic differential-functional equations. 92¢:35166 

Li, Hong Zhen see Li, Zi Zhi, (92a:00039) 

Li, Wen Shen (with Luo, Si Qing) An iterative solution to the characteristic problem for 
a class of fourth-order nonlinear differential equations. (Chinese. English summary) 
92j:35031 

Li, Zi Zhi (with Li, Hong Zhen) The method of approximate solution of mixed boundary 
value problem for nonlinear elliptic complex equations of second order. (see 92a:00039) 

Lin, Pei Xiong Young measures and an application of compensated compactness to one- 
dimensional nonlinear elastodynamics. 92¢:35106 

Lubashevskii, I. A. see Gafiichuk, V. V.; et al., 92b:35176 

Luo, Si Qing see Li, Wen Shen; et al., 92j:35031 

Lyashko, S. I. Approximate solution of equations of pseudoparabolic type. (Russian) 

Maslov, V. P. see Dobrokhotov, S. Yu.; et al., 92d:35172 

McCoy, Peter A. Solutions of the Helmholtz equation having rapid growth. 92m:35054 





543 1992 


Meyer, Richard E. On exponential asymptotics for nonseparable wave equations. I. 
Complex geometrical optics and connection. 92m:35059 

— On exponential asymptotics for nonseparable wave equations. II. EBK quantization. 
92m:35060 

Minenko, A. S. The minimum problem for a class of integral functions with an unknown 
domain of integration. (Russian) 92j:35191 

Neittaanmaki, Pekka see Lasiecka, Irena; et al., 92d:65195 

Nochetto, Ricardo H. On fixed domain approximations to free boundary problems with 
interface estimates. 92a:65299 

Osipov, V. V. see Gafiichuk, V. V.; et al., 92b:35176 

Reid, Gregory J. Algorithms for reducing a system of PDEs to standard form, determining 
the dimension of its solution space and calculating its Taylor series solution. 92k:65141 

Shafarevich, A. I. see Dobrokhotov, S. Yu.; et al., 92d:35172 

Simon, Lészlé Nonlinear elliptic differential equations with nonlocal boundary conditions. 
92g:35075 

Singh, Kumud Existence and approximation of solutions for nonlinear elliptic equations. 
(see 92k:65004) 

Sokoltowski, Jan see Lasiecka, Irena; et al., 92d:65195 

Tamme, Enn Solution of a parabolic equation by the method of subdomains. (Russian. 
English summary) 92k:65134 

Tarkhanov, N. N. Approximation in Sobolev spaces by solutions of elliptic systems. 
(Russian) 92a:35057 

Tran -Di’c Van (with Dinh Nho Hao) Pseudodifferential operators with real analytic 
symbols and approximation methods for pseudodifferential equations. 

Wu, Xiao Nan see Han, Hou De, 92k:35076 

Zacharek, S. see Kamont, Zdzistaw, 92j:65182 

Zhevandrov, P. N. see Dobrokhotov, S. Yu.; et al., 92d:35172 


35A40 Numerical approximation to solutions {For numerical 
analysis, see 65Mxx, 65Nxx, 65P05.} 


Items with secondary classifications in 35A40 


Barles, G. (with Souganidis, Panagiotis E.) Convergence of approximation schemes for 
fully nonlinear second order equations. 92d:35137 

Gerasimenko, V.1. (with Stashenko, M. A.) The method of hydrodynamic potentials in a 
domain with a complex boundary. (Ukrainian. Russian summary) 924:35226 

Gilbert, R. P. (with Thejll, Peter) Solving elliptic equations in three dimensions using 
symbolic manipulation. 92k:65177 

Heinrichs, Wilhelm EinschlieBung: gen bei Sy semilinearer parabolischer 
Differentialgleichungen. (Czech summary) [Inclusion statements for systems of 
semilinear parabolic differential equations] 92g:35086 

Laigle, P. (with Mastrangelo, Victor; Vial, D.; Xhemalce, S.) Résolution stochastique de 
systémes d’équations aux dérivées partielles du type parabolique affine et applications 
physiques. [Stochastic solution of affine parabolic partial differential equations and 
physical applications] 92i:35060 

Mastrangelo, Victor see Laigle, P.; et al., 92i:35060 

Peplow, A. T. see Stuart, A. M., 92j:65101 

Shen, Jie On error estimates of projection methods for Navier-Stokes equations: first-order 
schemes. 92m:35213 

Souganidis, Panagiotis E. see Barles, G., 92d:35137 

Stashenko, M. A. see Gerasimenko, V. I., 92d:35226 

Stuart, A. M. (with Peplow, A. T.) The dynamics of the theta method. 92j:65101 

Temam, Roger Stability analysis of the nonlinear Galerkin method. 92b:65073 

Thejll, Peter see Gilbert, R. P., 92k:65177 

Vial, D. see Laigle, P.; et al., 92i:35060 

Warchall, Henry A. Wave propagation at computational domain boundaries. 92a:65251 

Xhemalce, S. see Laigle, P.; et al., 92i:35060 





35Bxx Qualitative properties of solutions 


Kondrat'ev, V. A. (with Landis, E.M.) Qualitative theory of second-order linear partial 
differential equations. (Russian) 92m:35015 
Landis, E.M. see Kondrat'ev, V. A., 92m:35015 


Items with secondary classifications in 35Bxx 

Haraux, Alain * Systtmes dynamiques dissipatifs et applications. (French) [Dissipative 
dynamical systems and applications] 92b:35002 

Hess, Peter * Periodic-parabolic boundary value probl and positivity. 92h:35001 

(Lloyd, N.G.) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

(Ni, Wei-Ming) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

Pankov, A. A. * Bounded and almost periodic solutions of nonlinear operator differential 
equations. 92f:35002 

(Peletier, L. A.) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

(Serrin, James) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

Sritharan, S.S. * Invariant manifold theory for hydrodynamic transition. 92g:35181 

(Zayachkovskii, V.S.) see Pankov, A. A., 92f:35002 





Items listed otherwise than by author 
Conference: 
Nonlinear Diffusion Equations and their Equilibrium States * Nonlinear diffusion 
equations and their equilibrium states. 3. 92m:35003 
Gregynog * Nonlinear diffusion equations and their equilibrium states. 3. 92m:35003 
Nonlinear diffusion equations and their equilibrium states * Nonlinear diffusion equations 
and their equilibrium states. 3. 92m:35003 


35B Qualitative properties of solutions 


35B05 


35B05 General behavior of solutions of PDE (comparison 
theorems; oscillation, zeros and growth of solutions; 
mean value theorems) 


Allegretto, W. (with Yu, L. S.) On the existence of multiple decaying positive solutions of 
elliptic equations. 92f:35017 

— (with Yu, L.S.) Decaying solutions of 2mth order elliptic problems. 92h:35006 

Bandle, Catherine Blow up in exterior domains. 92d:35023 

— (with Essén, Matts) On positive solutions of Emden equations in cone-like domains. 
92):35005 

Bertsch, Michiel (with Ughi, Maura) Positivity properties of viscosity solutions of a 
degenerate parabolic equation. 92a:35006 

Betta, Maria Francesca Neumann problem: comparison results. (Italian summary) 
92):35006 

Bouchekif, Mohammed (with Gérowski, J.) Propriétés oscillatoires des solutions de 
certaines équations elliptiques. (Serbo-Croatian summary) [Oscillation properties of the 
solutions of some elliptic equations] 92h:35007 

— Comportement oscillatoire des solutions d’une équation elliptique. (English summary) 
[Oscillatory behavior of the solutions of an elliptic equation] 92k:35015 

Cao, Dao Min Yamabe problem in R" and related problems. 92a:35007 

— Positive solution and bifurcation from the essential spectrum of a semilinear elliptic 
equation on R". 92a:35008 

Chan, Chiu Yeung (with Cobb, Shannon S.) Critical lengths for semilinear singular 
parabolic mixed boundary value problems. 92g:35015 

Chang, Ch’iu Chiin On the asymptotic behavior of positive radial solutions of semi-linear 
elliptic equations in R". 92e:35019 

Chéng, Kuo Shun (with Lin, Tai Chia) The structure of solutions of a semilinear elliptic 
equation. 92j:35007 

Chu, Ch’i P’ing (with Wang, Huai Ch’iian) Semilinear elliptic problems on an infinite cone. 
92b:35012 

Cobb, Shannon S. see Chan, Chiu Yeung, 92g:35015 

Cosner, Chris (with Schaefer, Philip W.) Some comparison principles for weakly coupled 
systems of elliptic equations. 924:35024 

Delfour, Michel C. (with Zolésio, Jean-Paul) Anatomy of the shape Hessian. (French 
summary) 92k:35016 

Dhaigude, D. B. Sturmian theorems for the time degenerate parabolic inequalities. 
92j:35008 

Ding, Yi Nonradial solutions of a semilinear elliptic equation. 92b:35013 

Egnell, Henrik Positive solutions of semilinear equations in cones. 92f:35018 

Essén, Matts see Bandle, Catherine, 92j:35005 

Fan, Guangwei see Leung, Anthony W., 92e:35023 

Fusco, Giorgio (with Rocha, Carlos) A permutation related to the dynamics of a scalar 
parabolic PDE. 92h:35008 

Galaktionov, V. A. (with Posashkov, S. A.) Erratum: “Any large solution of a nonlinear heat 
equation with a source becomes monotonic in time” [Akad. Nauk SSSR Inst. Prikl. Mat. 
Preprint 1989, no. 109; MR 91k:35015]. (Russian) 92e:35020 

— On blow-up sets for the quasilinear heat equation with a source. (Russian. English 
summary) 92h:35009 

Ghidaglia, Jean-Michel (with Temam, Roger) Lower bound on the dimension of the 
attractor for the Navier-Stokes equations in space dimension 3. 92g:35016 

Giga, Yoshikazu (with Goto, Shun’ichi; Ishii, Hitoshi; Sato, Moto-Hiko) Comparison 
principle and convexity preserving properties for singular degenerate parabolic equations 
on unbounded domains. 92h:35010 

Gérowski, J. see Bouchekif, Mohammed, 92h:35007 

Goto, Shun’ichi see Giga, Yoshikazu; et al., 92h:35010 

Grundland, Alfred M. On the behaviour of solutions of the Laplace-Beltrami equations. 
92a:35009 

Guo, Zong Ming Solvability of some singular nonlinear boundary value problems and 
existence of positive radial solutions of some nonlinear elliptic problems. 92c:35008 

Gutiérrez, Cristian E. (with Wheeden, Richard L.) Mean value and Harnack inequalities for 
degenerate parabolic equations. 924:35025 

Headley, V. B. Elliptic oscillation theory. (German and Russian summaries) 92¢:35009 

Herrero, Miguel A. (with Velazquez, Juan J. L.) Radial solutions of a semilinear elliptic 
problem. 92e:35021 

Hoh, Walter (with Jacob, Niels) Remarks on mean value properties of solutions of second 
order differential operators. 92k:35017 

Ishii, Hitoshi see Giga, Yoshikazu; et al., 92h:35010 

Jacob, Niels see Hoh, Walter, 92k:35017 

Kalita, E. A. The Liouville theorem for higher-order elliptic systems of Cordes type. 
(Russian. Ukrainian summary) 924:35026 

Kazarinoff, Nicholas D. see Wang, Shin-Hwa, 92a:35010 

Khallaev, M. Kh. Some th of Phragr Lindeléf type for solutions of semilinear 
parabolic inequalities. (Russian) 92e:35022 

Kim, Jong Uhn Exponential decay of the energy of a one-dimensional nonhomogeneous 
medium. 92¢:35010 

Kipriyanova, N. I. A mean-value theorem for iterations of the operator Ag from solutions of 
a B-polyharmonic equation. (Russian) 92f:35019 

Kobachi, Nobuo (with Yoshida, Kiyoshi) Existence and qualitative t for 
tive solutions of a semilinear elliptic equation. 92d:35027 

Kozlov, Vladimir Arkad’evich On the behavior of solutions of elliptic boundary value 
problems in an angle. (Russian) 92d:35028 

Krylov, A. V. Averaging of weakly nonlinear hyperbolic sy 
mean. (Russian. Ukrainian summary) 924:35029 

Kurta, V. V. Qualitative properties of solutions of some classes of second-order quasilinear 
elliptic equations. (Russian. English summary) 92b:35014 

Kwong, Man Kam (with Zhang, LiQun) Uniqueness of the positive solution of Au + f(u) = 
0 in an annulus. 92b:35015 

Leung, Anthony W. (with Fan, Guangwei) Existence of positive solutions for elliptic 
systems—degenerate and nondegenerate ecological models. 92e:35023 

Li, Congming Monotonicity and symmetry of solutions of fully nonlinear elliptic equations 














with a ne iform integral 





35B05 


on unbounded domains. 92e:35024 

Liang, Xi Ting (with Yu, Ming Qi) Positiveness of nonnegative supersolutions of elliptic 
equations. 92b:35016 

Lin, Chang-Shou (with Lin, Sung Shan) Positive radial solutions for Au + K(r)u("+?)/("-2) = 
0 in R" and related topics. 92m:35016 

Lin, Sung Shan Positive radial solutions and nonradial bifurcation for semilinear elliptic 
equations in annular domains. 92k:35018 

— On the number of positive solutions for nonlinear elliptic equations when a parameter is 
large. 924:35030 

— (with Pai, Feng Ming) Existence and multiplicity of positive radial solutions for 
semilinear elliptic equations in annular domains. 92h:35011 

— Existence of positive nonradial solutions for nonlinear elliptic equations in annular 
domains. 92k:35019 

— see also Lin, Chang-Shou, 92m:35016 

Lin, Tai Chia see Chéng, Kuo Shun, 92j:35007 

Liu, Xun Ming (with Zou, Feng Wu) Oscillatory solutions to equations of Schrodinger type. 
(Chinese. English summary) 92e:35025 

Lu, Zheng Yi The inverse problem for Asgeirsson’s mean value equality. (Chinese 
summary) 92g:35017 

McCoy, Peter A. Optimal approximation and growth of solutions to a class of elliptic partial 
differential equations. 92d:35031 

Meshkov, V. Z. On the possible rate of decrease at infinity of the solutions of second-order 
partial differential equations. (Russian) 92d:35032 

Ouyang, Tiancheng On the positive solutions of semilinear equations Au + Au + hu? =Oon 
compact manifolds. II. 92m:35017 

— On the positive solutions of semilinear equations Au + Au — hu? = 0 on the compact 
manifolds. 92h:35012 

Pai, Feng Ming see Lin, Sung Shan, 92h:35011 

Pan, Xing Bin Positive solutions of Au + K(x)u? = 0 without decay conditions on K(x). 
92i:35006 

Pinsky, Ross G. A probabilistic approach to a theorem of Gilbarg and Serrin. 92j:35009 

Pokhozhaev, S. I. On entire solutions of a class of quasilinear elliptic equations. (Russian) 
92h:35013 

Posashkov, S. A. see Galaktionov, V. A., 92e:35020 

Rocha, Carlos see Fusco, Giorgio, 92h:35008 

Santanilla M., Jairo Existence and nonexistence of positive radial solutions for some 
semilinear elliptic problems in annular domains. 92¢:35026 

Sate, Moto-Hiko see Giga, Yoshikazu; et al., 92h:35010 

Schaefer, Philip W. see Cosner, Chris, 92d:35024 

Shalimova, I. A. A mean-value theorem for a system of Lamé equations at a noncentral 
point. (Russian) (see 92g:65003) 

Suzuki, Takashi Introduction to geometric potential theory. 924:35033 

Tazhimuratov, I. T. On the existence of a center and focus of a quasilinear partial differen- 
tial equation. (Russian. Kazakh summary) 92h:35014 

Temam, Roger see Ghidaglia, Jean-Michel, 92g:35016 

Ughi, Maura see Bertsch, Michiel, 92a:35006 

Velazquez, Juan J. L. see Herrero, Miguel A., 92e:35021 

Volchkov, V. V. Mean-value theorems for some differential equations. (Russian. English 
summary) 92k:35020 

Wang, Huai Ch’iian see Chu, Ch’i P’ing; et al., 92b:35012 

Wang, Shin-Hwa (with Kazarinoff, Nicholas D.) On positive solutions of some semilinear 
elliptic equations. 92a:35010 

Wang, Shixiao The existence of a positive solution of semilinear elliptic equations with 
limiting Sobolev exponent. 92a:35011 

Wen, Ru Qing The blow-up of solutions to semilinear heat equations of the fourth order. 
(Chinese. English summary) 92g:35018 

Wheeden, Richard L. see Gutiérrez, Cristian E., 92d:35025 

Xu, Hai Xiang The blow-up property of initial-boundary value problems for variational flow 
systems of equations. (Chinese. English summary) 92m:35018 

Xue, Ru Ying Existence and uniqueness of positive solutions to semilinear elliptic equations 
on an annulus. (Chinese. English summary) 924:35034 

Yanagida, Eiji Structure of positive radial solutions of Matukuma’s equation. 92a:35012 

Yoshida, Kiyoshi see Kobachi, Nobuo, 924:35027 

Yu, L.S. see Allegretto, W., 92f:35017 and 92h:35006 

Yu, Ming Qi see Liang, Xi Ting, 92b:35016 

Zhang, Li Qun see Kwong, Man Kam, 92b:35015 

Zheng, Song Mu Extinction properties of solutions to hyperbolic equations. 924:35035 

Zhu, Xi Ping A perturbation result on positive entire solutions of a semilinear elliptic 
equation. 92g:35019 

Ziemian, Bogdan Mean value theorems for linear and semi-linear rotation invariant 
operators. 92b:35017 

Zolésio, Jean-Paul see Delfour, Michel C., 92k:35016 

Zou, Feng Wu see Liu, Xun Ming; et al., 92e:35025 


Items with secondary classifications in 35B05 


Acker, Andrew On the multi-layer fluid problem: regularity, uniqueness, convexity, and 
successive approximation of solutions. 92k:35290 

Adimurthi (with Yadava, S.L.) Multiplicity results for semilinear elliptic equations in a 
bounded domain of R? involving critical exponents. 92¢:35045 

— (with Yadava, S. L.) Elementary proof of the nonexistence of nodal solutions for the 
semilinear elliptic equations with critical Sobolev exponent. 92j:35056 

— (with Yadava, S. L.) Existence and nonexistence of positive radial solutions of Neumann 
problems with critical Sobolev exponents. 92e:35069 

— (with Yadava, S.L.) Positive solution for Neumann problem with critical nonlinearity on 
boundary. 92m:35082 

— Some remarks on the Dirichlet problem with critical growth for the n-Laplacian. 
92m:35083 

— (with Srikanth, P. N.; Yadava, S. L.) Phenomena of critical exponent in R?. 92h:35068 

— (with Yadava, S. L.) Nonexistence of nodal solutions of elliptic equations with critical 
growth in R?. 92):35057 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 544 


Agemi, Rentaro Blow-up of solutions to nonlinear wave equations in two space dimensions. 
92k:35184 

Aikawa, Hiroaki (with Hayashi, Nakao) Holomorphic solutions of semilinear heat 
equations. 92¢:35084 

Alessandrini, Giovanni Characterizing spheres by functional relations on solutions of elliptic 
and parabolic equations. 92¢:35070 

Aliev, A. B. (with Aliev, Fakhraddin Abbas oglu) On the existence of minimal attractors 
for nonlinear hyperbolic equations. (Russian. English and Azerbaijani summaries) 
92d:35193 

Aliev, Fakhraddin Abbas oglu see Aliev, A. B., 92d:35193 

Allegretto, W. (with Nistri, Paolo; Zecca, Pietro) Positive solutions of elliptic nonpositone 
problems. 92k:35088 

Antontsev, S. N. (with Shmarév, S. I.) A local energy method and vanishing of weak 
solutions of nonlinear parabolic equations. (Russian) 92g:35087 

Arcoya, D. Positive solutions for semilinear Dirichlet problems in an annulus. 92j:35058 

Badiale, Marino (with Bardi, Martino) Symmetry properties of solutions of Hamilton- 
Jacobi equations without uniqueness. 92d:35067 

Bardi, Martino see Badiale, Marino, 924:35067 

Bebernes, J. (with Bressan, A., Jr.) Blowup for some reactive-Euler induction models. 
92a:35086 

— (with Lacey, A. A.) Finite time blowup for semilinear reactive-diffusive systems. 
92m:35128 

Bianchi, Gabriele (with Egnell, Henrik) Local existence and uniqueness of positive 
solutions of the equation Au + (1 + eg(r))u("+2)/("-2) = 0, in R" and a related equation. 
(see 92m:35003) 

Biroli, Marco (with Dal Fabbro, Florangela) Bounded or almost periodic solutions of a 
wave equation with nonlinear viscosity. 92¢:35013 

Bogdanov, L. V. (with Zakharov, V. E.) Decreasing solutions and dispersion laws in a (2 + 
1)-dimensional dressing method. (Russian) 92k:35264 

Borchers, Wolfgang (with Miyakawa, Tetsuro) Algebraic L? decay for Navier-Stokes flows 
in exterior domains. 92d:35225 

Bouillet, Julio E. Hyperbolic properties of solutions of some parabolic equations. (Spanish) 
92d:35138 

Bramanti, Marco Symmetrization in parabolic Neumann problems. 92g:35081 

Brenier, Yann Remarks on some linear hyperbolic equations with oscillatory coefficients. 
(see 92a:00036) 

Bressan, A., Jr. see Bebernes, J., 92a:35086 

Bugir, M. K. Some properties of nonoscillatory solutions. (Russian) 92c:34038 

Caginalp, G. (with Nishiura, Yasumasa) The existence of travelling waves for phase field 
equations and convergence to sharp interface models in the singular limit. 92f:35084 

Cazenave, Thierry (with Weissler, Fred B.) The structure of solutions to the pseudo- 
conformally invariant nonlinear Schrédinger equation. 92¢:35111 

Chabrowski, J. On entire solutions of the p-Laplacian. 92m:35076 

Chang, Ch’iu Chiin (with Fang, Yung Fu) Remarks on the existence of positive solutions of 
semilinear elliptic equations in R". 92k:35089 

Chen, Hong see Ling, Ling, (92a:00039) 

Chen, Yun Gang Blow-up solutions of a semilinear parabolic equation with the Neumann 
and Robin boundary conditions. 92m:35138 

Chéng, Kuo Shun (with Ni, Wei-Ming) On the structure of the conformal Gaussian 
curvature equation on R?. 92£:35061 

— (with Wang, Jenn-Nan) On the classification of solutions of a semilinear elliptic equation. 
92h:35070 

— On the structure of solutions for some semilinear elliptic equations. (see 92m:35003) 

Chipot, Michel (with Fila, Marek; Quittner, Pavol) Stationary solutions, blow up and 
convergence to stationary solutions for semilinear parabolic equations with nonlinear 
boundary conditions. 92h:35110 

Christ, Michael (with Weinstein, Michael I.) Dispersion of small amplitude solutions of the 
generalized Korteweg-de Vries equation. 92h:35203 

Chueshov, I. D. An inertial manifold in a problem on nonlinear oscillations of an infinite 
panel. (Russian. Ukrainian summary) 92a:35112 

Citti, Giovanna Existence of positive solutions of quasilinear degenerate elliptic equations 
on unbounded domains. (Italian summary) 92m:35101 

Clément, Philippe P. (with Sweers, Guido) On subsolutions to a semilinear elliptic problem. 
92d:35097 

Crandall, Michael G. (with Ishii, Hitoshi; Lions, Pierre-Louis) User’s guide to viscosity 
solutions of second order partial differential equations. 92j:35050 

Dal Fabbro, Florangela see Biroli, Marco, 92c:35013 

Dancer, E. N. On the number of positive solutions of some weakly nonlinear equations on 
annular regions. 92k:35097 

Delort, Jean-Marc Oscillations semi-linéaires multiphasées compatibles en dimensior 2 ou 
3 d’espace. [Compatible multiphase semilinear oscillations in space dimension 2 or 3] 
92g:35138 

Deng, Yin Bin On the superlinear Ambrosetti-Prodi problem involving critical Sobolev 
exponents. 92k:35098 

— Existence of multiple positive solutions of inhomogeneous semi-linear elliptic problems 
involving critical exponents. 92m:35087 

Diaz, Gregorio Boundaries of positivity in Hamilton-Jacobi equations with monotonic 
perturbations. (Spanish) 92d:35068 

DiBenedetto, E. (with Kwong, Ying C.) Harnack estimates and extinction profile for weak 
solutions of certain singular parabolic equations. 92f:35033 

Ding, Xia Xi (with Ding, Yi) The concentration-compactness principle and inverse power 
method. 924:35219 

Ding, Yi see Ding, Xia Xi; et al., 92d:35219 

Diotko, Tomasz Parabolic equation modelling diffusion with strong absorption. 92g:35103 

Egnell, Henrik (with Kaj, Ingemar) Positive global solutions of a nonhomogeneous 
semilinear elliptic equation. 92m:35078 

— see also Bianchi, Gabriele, (92m:35003) 

Erbe, Lynn H. (with Freedman, H. I.; Liu, Xinzhi; Wu, Jian Hong) Comparison principles 
for impulsive parabolic equations with applications to models of single species growth. 
92¢:92020 





545 1992 


Escauriaza, Luis A note on Krylov-Tso’s parabolic inequality. 92j:35078 

Escher, Joachim Some global existence and blow-up results for semilinear parabolic systems 
with nonlinear boundary conditions. (see 92m:47001) 

Evans, L. C. (with Spruck, Joel) Motion of level sets by mean curvature. I. 92h:35097 

Fabes, Eugene B. (with Garofalo, Nicola; Salsa, Sandro) A control on the set where a 
Green’s function vanishes. 92a:35074 

Fan, Guangwei see Leung, Anthony W., 92d:65218 

Fang, Yung Fu see Chang, Ch’iu Chin; et al., 92k:35089 

Fila, Marek (with Hulshof, Josephus) A note on the quenching rate. 92a:35090 

— see also Chipot, Michel; et al., 92h:35110 

Floater, M.S. Blow-up at the boundary for degenerate semilinear parabolic equations. 
92m:35139 

Freedman, H. I. see Erbe, Lynn H.; et al., 92c:92020 

Fukagai, Nobuyoshi (with Yoshida, Kiyoshi) An existence theorem for positive solutions of 
degenerate semilinear elliptic equations. 92d:35100 

Furusho, Yasuhiro Existence of positive entire solutions for weakly coupled semilinear 
elliptic systems. 92j:35044 

Galaktionov, V. A. (with Posashkov, S. A.) On the monotonicity property for a quasilinear 
degenerate parabolic equation and its applications. (Russian. English summary) 
92e:35097 

— Monotonicity in time at the single point for the semilinear heat equation with source. 
92j:35087 

— On a blow-up set for a nonlinear equation of diffusion and combustion. (Russian) 
92h:35113 

— (with Posashkov, S. A.) Single point blow-up for N-dimensional quasilinear equations 
with gradient diffusion and source. 92h:35098 

— (with Posashkov, S. A.) Monotonicity in time and stationary solutions for the quasilinear 
heat equation with source. 92k:35129 

— Best possible upper bound for blowup solutions of the quasilinear heat conduction 
equation with source. 924:35142 

— Monotonicity in time outside the initial support for a quasilinear heat equation. 
92m:35120 

— see also Velézquez, Juan J. L.; et al., 92d:35151 

Garofalo, Nicola see Fabes, Eugene B.; et al., 92a:35074 

Ghoreishi, Afshin (with Logan, Roger) Positive solutions of a class of biological models in a 
heterogeneous environment. 92f:35059 

— see also Li, Lige, 92b:35053 

Glangetas, Léo Multiplicité exacte de solutions positives d’une équation elliptique avec 
exposant critique. (English summary) [Exact multiplicity of positive solutions of an 
elliptic equation involving the critical exponent] 92f:35064 

Gongalves Ribeiro, J. M. Finite time blow-up for some nonlinear Schrédinger equations 
with an external magnetic field. 92b:35140 

Grillakis, Manoussos G. Regularity and asymptotic behaviour of the wave equation with a 
critical nonlinearity. 92c:35080 

Hayashi, Nakao see Aikawa, Hiroaki, 92e:35084 

Headley, V. B. Oscillation and nonoscillation theorems for linear elliptic systems. 
92d:35087 

Healey, Timothy J. (with Kielhéfer, Hansjérg) Positivity of global branches of fully 
nonlinear elliptic boundary value problems. 92j:35013 

Herrero, Miguel A. see Velazquez, Juan J. L.; et al., 92d:35151 

Hoh, Walter (with Jacob, Niels) On the potential theory of the Kolmogorov equation. 
92m:31008 

Hulshof, Josephus see Fila, Marek, 92a:35090 

Imai, Takashi (with Mochizuki, Kiyoshi; Suzuki, Ryuichi) On blow-up sets for the 
parabolic equation 0,8(u) = Au + f(u) ina ball. 92d:35145 

— (with Mochizuki, Kiyoshi) On blow-up of solutions for quasilinear degenerate parabolic 
equations. 92k:35164 

Ishii, Hitoshi see Crandall, Michael G.; et al., 92j:35050 

Ishimura, Naoyuki Generalized ground states for quasilinear elliptic equations. 92d:35102 

Jacob, Niels see Hoh, Walter, 92m:31008 

Jager, Willi (with Luckhaus, Stephan) On explosions of solutions to a system of partial 
differential equations modelling chemotaxis. 92e:35159 

Jarnicki, Marek (with Stawik, Lech) A note on blow-up points for a semilinear parabolic 
equation. 92j:35095 

Jiang, LiShang see Zhang, Zhen Bu; et al., 92m:35143 

Kaj, Ingemar see Egnell, Henrik, 92m:35078 

Kajikiya, Ryuji Radially symmetric solutions of semilinear elliptic equations, existence and 
Sobolev estimates. 92a:35061 

Kalashnikov, A.S. Diffusion of mixtures in the presence of long-range action. (Russian) 
92b:35077 

Kaper, Hans G. (with Kwong, Man Kam; Li, Yi?) On the positive solutions of the free- 
boundary problem for Emden-Fowler type equations. (see 92m:00047) 

Kawanago, Tadashi The behavior of solutions of quasi-linear heat equations. 92¢:35062 

Kawohl, Bernhard Remarks on quenching, blow up and dead cores. (see 92m:35003) 

Kesavan, S. On a comparison theorem via symmetrisation. 92h:35057 

Kielhéfer, Hansjérg see Healey, Timothy J., 92j:35013 

Komornik, Vilmos On the vibrations of a spherical membrane. 92a:35095 

Kordyukov, Yu. A. L?-theory of elliptic differential operators on manifolds of bounded 
geometry. 92f:58164 

Kossowski, Marek Local existence of multivalued solutions to analytic symplectic Monge- 
Ampére equations (the nondegenerate and type changing cases). 92h:58202 

Kuo, Chung Shéng On a quenching problem with the Robin boundary condition. 92k:35158 

Kurata, Kazuhiro (with Ogawa, Takayoshi) Remarks on blowing-up of solutions for some 
nonlinear Schrédinger equations. 92i:35115 

Kutev, Nikolai D. Global solvability and boundary gradient blow up for one-dimensional 
parabolic equations. (see 92m:35004) 

Kwong, Man Kam see Kaper, Hans G.; et al., (92m:00047) 

Kwong, Ying C. see DiBenedetto, E., 92f:35033 

Lacey, A. A. (with Wake, G.C.) Critical initial conditions for spatially-distributed thermal 
explosions. 92k:35133 


35B Qualitative properties of solutions 


35B05 


— see also Bebernes, J., 92m:35128 

Lasiecka, Irena Exponential decay rates for the solutions of Euler-Bernoulli equations with 
boundary dissipation occurring in the moments only. 92k:35073 

Lavrenko, M. V. Behavior of solutions of the first boundary value problem for a quasi- 
elliptic equation in an unbounded domain. (Russian. English summary) 92b:35061 

Lazzo, Monica Solutions positives multiples pour une équation elliptique non linéaire 
avec l’exposant critique de Sobolev. (English summary) [Multiple positive solutions of a 
nonlinear elliptic equation involving critical Sobolev exponent] 92j:35066 

Lepin, L. A. On the absence of monotone solutions to a nonlinear boundary value problem. 
(Russian. English and Latvian summaries) 92h:34053 

Leung, Anthony W. (with Fan, Guangwei) Positive solutions for degenerate and nondegen- 
erate elliptic systems: existence and numerical approximations. 924:65218 

Levine, Howard A. A Fujita type global existence-global nonexistence theorem for a weakly 
coupled system of reaction-diffusion equations. 92g:35097 

— Advances in quenching. (see 92m:35003) 

Li, Congming Monotonicity and symmetry of solutions of fully nonlinear elliptic equations 
on bounded domains. 924:35104 

Li, Da Qian Lower bounds of the life-span of small classical solutions for nonlinear wave 
equations. (see 92c:35002) 

— (with Yu, Xin?) Life-span of classical solutions to fully nonlinear wave equations. 
92:35103 

Li, Gong Bao see Yan, Shu Sen; et al., 92d:35221 

Li, Lige (with Ghoreishi, Afshin) On positive solutions of general nonlinear elliptic 
symbiotic interacting systems. 92b:35053 

— (with Logan, Roger) Positive solutions to general elliptic competition models. 92c:35049 

Li, Yan Yan On prescribing scalar curvature problem on S? and S*. (French summary) 
92m:53064 

Li, Yi? see Kaper, Hans G.; et al., (92m:00047) 

Li, Zheng Yuan see Wang, Ming Xin’; et al., (92m:35004) 

Liang, Jin (with Xiao, Ti Jun) Well-posedness of the Cauchy problem for equations of 
catalysis type and the exponential growth property of their solutions. (Chinese. English 
summary) 

Liang, Xi Ting see Wang, Xiang Dong; et al., 92c:35043 

Lin, Ying Biao Positive solutions to exterior boundary value probl 
equations. (Chinese. English summary) 92h:35080 

Ling, Ling (with Chen, Hong) Some problems of qualitative researches on ultra-hyperbolic 
equations. (see 92a:00039) 

Lions, Pierre-Louis see Crandall, Michael G.; et al., 92j:35050 

Liu, Xinzhi see Erbe, Lynn H.; et al., 92c:92020 

Logan, Roger see Li, Lige, 92c:35049 and Ghoreishi, Afshin, 92f:35059 

Lépez, Martin (with Martinez Sanchez, Francisco Rafael; Omar Silva, Jorge) On the initial- 
boundary value problem for the heat equation. (Spanish. English summary) 92m:35107 

Lu, Guang Cun The existence of multiple solutions for quasilinear elliptic equations of 
higher order. 92i:35051 

Luckhaus, Stephan see Jager, Willi, 92e:35159 

Lui, Roger Positive solutions of an elliptic system arising from a model in evolutionary 
ecology. 92i:35046 

Luo, Ya Ping see Zhang, Qin; et al., 92m:35256 

Ma, Li Some notes about positive solutions of Au + a(x)u + u(%*2)/(N-2) = 0. 92):35067 

Magalhaes, C. A. Multiplicity results for a semilinear elliptic problem with crossing of 
multiple eigenvalues. 92f:35067 

Makarenko, A. S. Justification of the computation of the peaking time in problems with 
nonsmooth solutions. (Russian) 92m:35168 

Malonek, Helmuth (with Miiller, Bernd) Zur Giiltigkeit eines Satzes vom Phragmén- 
Lindeléfschen Typ fiir Lésungen einer verallgemeinerten Beltramigleichung im R™*'. [On 
the validity of a Phragmén-Lindeléf-type theorem for solutions of a generalized Beltrami 
equation in R”*'] 92m:30087 

Marino, Giuseppe (with Pietramala, Paolamaria; Struppa, Daniele Carlo) Factorization of 
solutions of convolution equations. II. 92e:46082 

Martinez Sanchez, Francisco Rafael see Lépez, Martin; et al., 92m:35107 

McCoy, Peter A. Solutions of the Helmholtz equation having rapid growth. 92m:35054 

Mercaldo, Anna On a nonlinear elliptic equation with critical Sobolev exponent. (Italian. 
English summary) 92j:35068 

Merle, Frank (with Peletier, L. A.) Positive solutions of elliptic equations involving 
supercritical growth. 92g:35074 

— Solution of a nonlinear heat equation with arbitrarily given blow-up points. 92k:35160 

Miersemann, Erich On the singular behaviour of fluid in a vertical wedge. (German and 
Russian summaries) 92j:76013 

Min, Ji A remark on the symmetry of solutions to nonlinear elliptic equations. 92k:35103 

Miyakawa, Tetsuro see Borchers, Wolfgang, 92d:35225 

Mochizuki, Kiyoshi see Imai, Takashi; et al., 92d:35145 and 92k:35164 

Morro, Angelo (with Payne, Lawrence E.; Straughan, Brian) Decay, growth, continuous 
dependence and uniqueness results in generalized heat conduction theories. 92h:35090 

de Mottoni, Piero (with Schatzman, Michelle) Development of interfaces in R”. 92e:35092 

Moutoussamy, Isabelle (with Véron, Laurent) Source type positive solutions of nonlinear 
parabolic inequalities. 92g:35115 

Miller, Bernd see Malonek, Helmuth, 92m:30087 

Nakao, Mitsuhiro Remarks on the existence and uniqueness of global decaying solutions of 
the nonlinear dissipative wave equations. 92d:35202 

Ni, Wei-Ming (with Takagi, Izumi) On the shape of least-energy solutions to a semilinear 
Neumann problem. 92i:35052 

— (with Takagi, Izumi) On the existence and shape of solutions to a semilinear Neumann 
problem. (see 92m:35003) 

— see also Chéng, Kuo Shun, 92f:35061 

Nicolaescu, Liviu I. Radial solutions of some nonlinear elliptic equations involving critical 
Sobolev exponents. (see 92m:49004) 

Nishiura, Yasumasa see Caginalp, G., 92f:35084 

Nistri, Paolo see Allegretto, W.; et al., 92k:35088 

Noussair, Ezzat S. (with Swanson, Charles A.) Properties of potential systems in R. 
92k:35083 





for semilinear elliptic 





35B05 


Novick-Cohen, A. (with Peletier, L. A.) The steady states of the one-dimensional Cahn- 
Hilliard equation. 

Oganesyan, A. O. Generalization of the Lagnese-Stellmacher method to a class of equations 
that satisfy the Huygens principle. (Russian. English and Armenian summaries) 

— The Huygens principle for a class of hyperbolic equations with variable coefficients. 
(Russian) 92g:35119 

Ogawa, Takayoshi (with Tsutsumi, Yoshio) Blow-up of H' solution for the nonlinear 
Schrodinger equation. 92k:35262 

— see also Kurata, Kazuhiro, 92i:35115 

Oh, Yong-Geun On positive multi-lump bound states of nonlinear Schrodinger equations 
under multiple well potential. 92a:35148 

Omar Silva, Jorge see Lépez, Martin; et al., 92m:35107 

de Pablo, Arturo (with Vazquez, Juan Luis) Travelling waves and finite propagation in a 
reaction-diffusion equation. 92h:35108 

Piivarinta, Lassi (with Runst, Thomas) Multiplicity results for semilinear elliptic boundary 
value problems in Besov and Triebel-Lizorkin spaces. 92j:35070 

Pan, Xing Bin Existence of singular solutions of semi-linear elliptic equation in R”. 
92m:35079 

— Solutions of elliptic equations Au + K(x)e™ = f(x). 92h:35073 

Payne, Lawrence E. (with Webb, J. R. L.) Comparison results in second order quasilinear 
Dirichlet problems. 92h:35081 

— see also Morro, Angelo; et al., 92h:35090 

Peletier, L. A. see Merle, Frank, 92g:35074 and Novick-Cohen, A. 

Pietramala, Paolamaria see Marino, Giuseppe; et al., 92e:46082 

Pletner, Yu. D. Properties of the solutions of equations that are analogous to the two- 
dimensional Sobolev equation. (Russian) 92k:35052 

Pokhozhaev, S. I. On classes of positivity of elliptic operators in R” with a supercritical 
nonlinearity index. (Russian) 92b:35056 

Posashkov, S. A. see Galaktionov, V. A., 92e:35097; 92h:35098 and 92k:35129 

Quittner, Pavol see Chipot, Michel; et al., 92h:35110 

Rascle, Michel On the static and dynamic study of oscillations for some nonlinear 
hyperbolic systems of conservation laws. (French summary) 92j:35121 

Rodriguez, Ana (with Vazquez, Juan Luis) Maximal solutions of singular diffusion 
equations with general initial data. (see 92m:35003) 

Runst, Thomas see Paivarinta, Lassi, 92j:35070 

Salsa, Sandro see Fabes, Eugene B.; et al., 92a:35074 

Schatzman, Michelle see de Mottoni, Piero, 92e:35092 

Schmalfuss, B. Long-time behaviour of the stochastic Navier-Stokes equation. 92e:35179 

Selmi, Mohamed Comparaison des noyaux de Green sur les domaines C':'. [Comparison of 
Green kernels on C's! domains] 92k:35048 

Serre, Denis Oscillations non linéaires des systemes hyperboliques: méthodes et résultats 
qualitatifs. (English summary) [Nonlinear oscillations of hyperbolic systems: methods 
and qualitative results] 92h:35138 

Sheina, E. A. On a positive solution of a quasilinear elliptic equation in R”. (Russian) 
92g:35065 

Shimomura, Katsunori A note on the definition of inner NTA domain. 92h:31007 

Shmarév, S.1. see Antontsev, S. N., 92g:35087 

Stawik, Lech see Jarnicki, Marek, 92j:35095 

Sokolov, V. V. see Svinolupov, S. I., 92d:35129 

Spruck, Joel see Evans, L. C., 92h:35097 

Srikanth, P. N. see Adimurthi; et al., 92h:35068 

Straughan, Brian see Morro, Angelo; et al., 92h:35090 

Struppa, Daniele Carlo see Marino, Giuseppe; et al., 92e:46082 

Suzuki, Fukuzo Energy inequalities for a mixed problem for the wave equation in a domain 
with a corner. 92f:35095 

Suzuki, Ryuichi On blow-up sets and asymptotic behavior of interfaces of one-dimensional 
quasilinear degenerate parabolic equations. 92m:35125 

— see also Imai, Takashi; et al., 92d:35145 

Svinolupov, S. I. (with Sokolov, V. V.) Weak nonlocalities in evolution equations. (Russian) 
924:35129 

Swanson, Charles A. see Noussair, Ezzat S., 92k:35083 

Sweers, Guido Strong positivity in C(Q) for elliptic systems. 92j:35046 

— see also Clément, Philippe P., 92d:35097 

Tada, Toshimasa Martin compactification for a Schrédinger equation in an angular domain. 
92e:35059 

Takagi, Izumi see Ni, Wei-Ming, 92i:35052 and (92m:35003) 

Tarantello, Gabriella Nodal solutions of elliptic equations with critical exponent. (French 
summary) 92m:35097 

— Nodal solutions of semilinear elliptic equations with critical exponent. 92k:35109 

Tertikas, Achilles (with Toland, J. F.) Graph intersection and uniqueness results for some 
nonlinear elliptic problems. 92m:34078 

Thompson, Russell C. (with Walter, Wolfgang L.) A qualitative study on a parabolic free 
boundary problem. 92i:35134 

Toland, J. F. see Tertikas, Achilles, 92m:34078 

Tsutsumi, Yoshio see Ogawa, Takayoshi, 92k:35262 

Tungatarov, A. A class of continuous solutions of the Carleman-Vekua equation with a 
singular point. (Russian. Kazakh summary) 

Urbas, John I. E. On the existence of nonclassical solutions for two classes of fully 
nonlinear elliptic equations. 92h:35074 

Vazquez, Juan Luis (with Véron, Laurent) Solutions positives d’équations elliptiques 
semi-linéaires sur des variétés riemanniennes compactes. (English summary) [Positive 
solutions of semilinear elliptic equations on compact Riemannian manifolds] 92g:35066 

— see also de Pablo, Arturo, 92h:35108 and Rodriguez, Ana, (92m:35003) 

Velazquez, Juan J.L. (with Galaktionov, V. A.; Herrero, Miguel A.) The space structure 
near a blow-up point for semilinear heat equations: a formal approach. (Russian 
summary) 924:35151 

Véron, Laurent see Vazquez, Juan Luis, 92g:35066 and Moutoussamy, Isabelle, 92g:35115 

Vespri, Vincenzo On the local behaviour of solutions of certain singular parabolic equations. 
92k:35136 

Wake, G.C. see Lacey, A. A., 92k:35133 


PARTIAL DIFFERENTIAL EQUATIONS 


Walter, Wolfgang L. see Thompson, Russell C., 92i:35134 

Wang, Jenn-Nan see Chéng, Kuo Shun, 92h:35070 

Wang, Ming Xin? (with Li, Zheng Yuan; Ye, Qi Xiao) Existence of positive solutions for 
semilinear elliptic system. (see 92m:35004) 

Wang, Shixiao Some nonlinear elliptic equations with subcritical growth and critical 
behavior. 92d:35112 

Wang, Xiang Dong (with Liang, Xi Ting) Boundedness of generalized solutions to a class of 
elliptic equations. (Chinese. English summary) 92c¢:35043 

Watson, N. A. Mean values and thermic majorization of subtemperatures. 92k:31001 

Webb, J. R. L. see Payne, Lawrence E., 92h:35081 

Wei, Zhi Hui (with Wu, Xin Min) A multiplicity result for quasilinear elliptic equations 
involving critical Sobolev exponents. 92m:35098 

Weinstein, Michael I. see Christ, Michael, 92h:35203 

Weissler, Fred B. see Cazenave, Thierry, 92c:35111 

Wu, Jian Hong see Erbe, Lynn H.; et al., 92c:92020 

Wu, Xin Min see Wei, Zhi Hui, 92m:35098 

Xiao, Ti Jun see Liang, Jin; et al. 

Yadava, S. L. see Adimurthi, 92c:35045; 92e:35069; 92h:35068; 92j:35056; 92j:35057 and 
92m:35082 

Yan, Shu Sen (with Li, Gong Bao) Eigenvalue problem for field equation involving limiting 
nonlinearity. 92d:35221 

Yanagida, Eiji Uniqueness of positive radial solutions of Au + g(r)u + h(r)u? =0 in R". 
92g:35067 

Ye, Qi Xiao see Wang, Ming Xin’; et al., (92m:35004) 

Yin, Jing Xue The comparison principle for solutions to the first boundary value problem 
for singular and degenerate nonlinear diffusion equations. (Chinese. English summary) 
92d:35162 

Yoshida, Kiyoshi see Fukagai, Nobuyoshi, 92d:35100 

Yoshida, Norio Oscillatory properties of solutions of certain elliptic equations. 92m:35070 

You, Yun Xiang Blow-up of solutions to quasilinear parabolic equations. (Chinese. English 
summary) 

Yu, Xin? see Li, Da Qian, 92f:35103 

Zakharov, V. E. see Bogdanov, L. V., 92k:35264 

Zecca, Pietro see Allegretto, W.; et al., 92k:35088 

Zhang, LiQun Uniqueness of positive solutions to semilinear elliptic equations. (Chinese) 
925:35055 

Zhang, Qin (with Luo, Ya Ping) The blow-up phenomenon for solutions to nonlinear 
systems of equations of Schrédinger type. (Chinese. English summary) 92m:35256 

Zhang, Zhen Bu (with Jiang, Li Shang) Blow-up of solutions of a class of nonlinear 
parabolic equations. 92m:35143 

Zvyagin, V.G. On the number of solutions of the Dirichlet problem for equations that are 
elliptic on the solution set. (Russian) 92¢:35075 


35B10 Periodic solutions 


Bartak, Jaroslav (with Vejvoda, Otto) Periodic solutions to linear partial differential 
equations of the first order. 92d:35036 

Brown, K. J. (with Hess, Peter) Positive periodic solutions of predator-prey reaction- 
diffusion systems. 92h:35015 

Capozzi, Alberto A Birkhoff-Lewis type result for a semilinear wave equation. 92e:35027 

Caycedo, J. F. see Ortega, L. A., 92e:35029 

Chen, Ning (with Lu, Zheng Yi) Global stability of periodic solutions to reaction-diffusion 
systems. (Chinese) 92i:35007 

Choi, Q-Heung (with Jung, Tacksun) On periodic solutions of the nonlinear suspension 
bridge equation. 92a:35013 

Fan, Guangwei (with Leung, Anthony W.) Existence and stability of periodic solutions for 
competing species diffusion systems with Dirichlet boundary conditions. 92b:35018 

(Hanna, Sarwat N.) see Newton, Paul K. 

He, Meng Xing Periodic solutions of partial functional-differential equations. (Chinese) 
92¢:35011 

Hess, Peter see Brown, K. J., 92h:35015 

Izbasarov, B. (with Umbetzhanov, D. U.) Solutions of second-order parabolic equations 
that are quasiperiodic with respect to time and periodic with respect to the space 
variables. (Russian. English and Kazakh summaries) 92i:35008 

Jung, Tacksun see Choi, Q-Heung, 92a:35013 

Kubo, Masahiro (with Langlais, Michel) Solutions périodiques pour un probléme de 
dynamique des populations. [Periodic solutions for a population-dynamics problem} 
92g:35020 

Kuzin, I. A. The existence of a countable set of periodic spherically symmetric solutions of 
the nonlinear wave equation. (Russian) 92g:35021 

Langlais, Michel see Kubo, Masahiro, 92g:35020 

Leung, Anthony W. see Fan, Guangwei, 92b:35018 

La, Zheng Yi see Chen, Ning; et al., 92i:35007 

Moroganu, G. (with Petrovanu, Dan) Time periodic solutions for a class of hyperbolic 
partial differential systems. 92¢:35012 

Musal’yan, A. G. Existence of bounded and periodic solutions of elliptic equations with a 
nonlinear right-hand side. (Russian. Tajiki summary) 

Newton, Paul K. Letter: “Stability of periodic plane wave solutions of wave equations” [J. 
Comput. Appl. Math. 34 (1991), no. 1, 41-46; MR 91k:35024] by S. N. Hanna. 

Ni, Ming Kang Periodic solution to a kind of singularly perturbed differential equations of 
parabolic type in chemical kinetics. (Chinese. English summary) 92i:35009 

Nieto, Juan J. Periodic-Neumann boundary value problem for nonlinear parabolic 
equations and application to an elliptic equation. 92¢e:35028 

Orlov, A. V. On the periodic solvability of nonlinear evolution equations. (Russian) (see 
92i:00016) 

Ortega, L. A. (with Caycedo, J. F.) Positive periodic solutions of a nonlinear parabolic 
eigenvalue problem. 92e:35029 

Petrovanu, Dan see Moroganu, G., 92c:35012 

Prokhorenko, V.1. Theorems on the smoothness of periodic solutions of differential 
equations with singular points. (Russian) 





547 1992 


Tret'yakova, L.G. On the problem of w-periodic solutions of the quasilinear telegraph 
equation. (Russian) 92b:35019 

— see also Zabreiko, P. P., 92£:35020 

Umbetzhanov, D. U. see Izbasarov, B., 92i:35008 

Vejvoda, Otto see Bartak, Jaroslav, 92d:35036 

Vidossich, Giovanni Periodic solutions of hyperbolic equations using ordinary differential 
equations. 92g:35022 

Wen, Shih Liang see Wu, Daxin, 92k:35021 

Wa, Daxin (with Wen, Shih Liang) Existence and uniqueness of a periodic solution to the 
two-dimensional generalized Korteweg-de Vries equation. 92k:35021 

Zabreiko, P. P. (with Tret'yakova, L.G.) Periodic solutions of a quasilinear telegraph 
equation. (Russian) 92f:35020 


Items with secondary classifications in 35B10 

Abylkairov, U. U. Periodic solution of approximations of a nonhomogeneous viscous fluid. 
(Russian) 92h:35179 

Aiki, Toyohike (with Shinoda, Junichi; Kenmochi, Nobuyuki) Periodic stability for some 
degenerate parabolic equations with nonlinear flux conditions. 92m:35144 

Akhromeeva, T.S. (with Malinetskii, G. G.; Potapov, A. B.; Tsertsvadze, G. Z.) Periodic 
and symmetric solutions of the Kuramoto-Tsuzuki equation. (Russian. English summary) 
92m:35246 

Alfimov, G. L. (with Eleonskii, V. M.; Kulagin, N. E.; Lerman, L. M.; Silin, V. P.) Non-one- 
dimensional self-localized solutions of the equations of elliptic type. (see 92i:58002) 

Berkovits, Juha (with Mustonen, Vesa) On multiple solutions for a class of semilinear wave 
equations. 92d:35195 

— (with Mustonen, Vesa) On the existence of multiple solutions for semilinear equations 
with monotone nonlinearities crossing a finite number of eigenvalues. 92j:47118 

Cannon, John R. (with Yin, Hong Ming) A periodic free boundary problem arising in some 
diffusion chemical reaction processes. 92g:35240 

Chan, Chiu Yeung (with Ke, Lan) Critical lengths for periodic solutions of semilinear 
parabolic systems. 92k:35154 

Christiansen, P. L. see Muto, V.; et al., 92k:35246 

Dvoryaninov, S. V. Approximate periodic solutions of autonomous singularly perturbed 
parabolic systems. (Russian) (see 92d:35003) 

Eleonskii, V. M. see Alfimov, G. L.; et al., (92i:58002) 

Emel'yanova, D. V. see Oskolkov, A. P., 92f:35117 

Feireisl, Eduard Weakly damped quasilinear wave equation: existence of time-periodic 
solutions. 92k:35186 

Fraile Peléez, José Maria see Sabina, José C., 92k:35161 

Gopalsamy, Kondalsamy (with Weng, Pei Xuan) On the dynamics of a periodic delay 
logistic equation with diffusion. 92k:35157 

Greenberg, J. M. (with Rascle, Michel) Time-periodic solutions to systems of conservation 
laws. 92):35119 

looss, G. (with Mielke, Alexander) Bifurcating time-periodic solutions of Navier-Stokes 
equations in infinite cylinders. 92b:35027 

Ke, Lan see Chan, Chiu Yeung, 92k:35154 

Kenmochi, Nobuyuki Asymptotic stability for nonlinear degenerate parabolic equations with 
Neumann boundary conditions. 924:35164 

— see also Aiki, Toyohiko; et al., 92m:35144 

Kichenassamy, Satyanad Breather solutions of the nonlinear wave equation. 92i:35086 

Krawvaritis, Dimitrios (with Papageorgiou, Nikolaos S.) A boundary value problem for a 
class of evolution inclusions. 92¢:47116 

Kulagin, N. E. see Alfimov, G. L.; et al., (92i:58002) 

Lazer, Alan C. (with McKenna, P. J.) Large-amplitude periodic oscillations in suspension 
bridges: some new connections with nonlinear analysis. 92g:73059 

Lerman, L. M. see Alfimov, G. L.; et al., (92i:58002) 

Lomdahl, P.S. see Muto, V.; et al., 92k:35246 

Malinetskii, G.G. see Akhromeeva, T. S.; et al., 92m:35246 

Maremonti, Paolo Existence and stability of time-periodic solutions to the Navier-Stokes 
equations in the whole space. 92d:35227 

McKenna, P. J. see Lazer, Alan C., 92g:73059 

Mielke, Alexander see looss, G., 92b:35027 

Milojevi¢, P.S. Solvability of operator equations and periodic solutions of semilinear 
hyperbolic equations. 92j:47127 

Moore, Richard L. Exact nonlinear forced periodic solutions of the Navier-Stokes equation. 
92h:35184 

Mustonen, Vesa see Berkovits, Juha, 92d:35195 and 92j:47118 

Muto, V. (with Christiansen, P. L.; Lomdahl, P.S.) Periodic traveling wave solutions of a 
set of coupled Boussinesq-like equations. 92k:35246 

Oskolkov, A. P. (with Emel'yanova, D. V.) Some nonlocal problems for two-dimensional 
equations of motion of Oldroyd fluids. (Russian. English summary) 92f:35117 

Nikolaos S. see Krawvaritis, Dimitrios, 92¢:47116 

Parker, A. Periodic solutions of the intermediate long-wave equation: a nonlinear 
superposition principle. 92k:35247 

Potapov, A. B. see Akhromeeva, T. S.; et al., 92m:35246 

Rascle, Michel see Greenberg, J. M., 92j:35119 

Sabina, José C. (with Fraile Pelaez, José Maria) Wave analysis of a nonstationary gas- 
transport model. (Spanish) 92k:35161 

Safarov, D.S. Doubly periodic generalized analytic functions. (Russian) 92h:30088 

Shinoda, Junichi see Aiki, Toyohiko; et al., 92m:35144 

Shmuley, I. 1. Some well-posed problems for finding periodic solutions of evolution 
equations. (Russian) 92i:34087 

Shobukhov, A. V. Branching off of spatially inhomogeneous periodic solutions from limit 
cycles of autonomous systems of ordinary differential equations perturbed by small 
diffusion terms. 92:35027 

Silin, V. P. see Alfimov, G. L.; et al., (92i:58002) 

Solimini, Sergio (with Terracini, Susanna) A multiplicity result for periodic solutions of 
autonomous conservative systems. 92f:58149 

Terracini, Susanna see Solimini, Sergio, 92:58149 

Tsertsvadze, G. Z. see Akhromeeva, T. S.; et al., 92m:35246 


35B Qualitative properties of solutions 


35B20 


Vasil’eva, A. B. (with Volkov, V.T.) Asymptotic approximation of a periodic solution 
of the second boundary value problem for a system with small diffusion. (Russian) 
92g:35108 

Volkov, V.T. see Vasil’eva, A. B., 92g:35108 

Weng, Pei Xuan see Gopalsamy, Kondalsamy, 92k:35157 

Yin, Hong Ming see Cannon, John R., 92g:35240 

Zagrodzitiski, J. Dispersion equation technique for periodic solutions of NLPDEs. 
92k:58235 


35B15 Almost periodic solutions 


Biroli, Marco (with Dal Fabbro, Florangela) Bounded or almost periodic solutions of a 
wave equation with nonlinear viscosity. 92¢:35013 

— Almost periodicity and degenerate parabolic equations. 92g:35023 

Dal Fabbro, Florangela see Biroli, Marco, 92c:35013 

Fraguela Collar, Andrés Sufficient conditions for not almost periodicity of solutions of the 
S. L. Sobolev equation. (Russian) 

Moser, Jiirgen Quasi-periodic solutions of nonlinear elliptic partial differential equations. 
92g:35024 

Umbetzhanov, D. U. Almost periodic solutions of systems of equations of parabolic and 
elliptic types. (Russian. Kazakh summary) 92i:35010 

Vuillermot, Pierre-A. A geometric theory for semilinear almost-periodic parabolic partial 
differential equations on R”. (see 92m:35004) 


Items with secondary classifications in 35B15 

Blot, Joél Une méthode hilbertienne pour les trajectoires presque-périodiques. (English 
summary) [A Hilbert method for the almost periodic trajectories] 92g:58027 

Chen, So-Chin Global regularity of the 7-Neumann problem in dimension two. 92h:32027 

looss, G. (with Los, Jéréme E.) Bifurcation of spatially quasi-periodic solutions in 
hydrodynamic stability problems. 92b:35026 

Joly, Jean-Luc (with Rauch, Jeffrey) Nonlinear resonance can create dense oscillations. 
92k:35180 

Krol, M.S. On the averaging method in nearly time-periodic advection-diffusion problems. 
92h:76077 

Los, Jéréme E. see looss, G., 92b:35026 

Rauch, Jeffrey see Joly, Jean-Luc, 92k:35180 


35B20 Perturbations 


Irac-Astaud, M. Perturbation around exact solutions for nonlinear dynamical systems: 
application to the perturbed Burgers equation. (French summary) 92b:35020 

Penning, F. D. Continuous dependence results for parabolic problems with time-dependent 
coefficients. 92b:35021 

Shutyaev, V. P. On the perturbation method for a first-order weakly nonlinear hyperbolic 
problem. (Russian) 


Items with secondary classifications in 35B20 

Arrieta, José M. (with Hale, Jack K.; Han, Qing) Eigenvalue problems for non-smoothly 
perturbed domains. 92f:35110 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Nonconvex perturbations of 
evolution equations with m-dissipative operators in Banach spaces. 92h:35093 

Beals, Michael (with Strauss, Walter Alexander) Time decay estimates for a perturbed 
wave equation. (see 92d:35009) 

Bender, Carl M. (with Boettcher, Stefan; Milton, Kimball A.) A new perturbative approach 
to nonlinear partial differential equations. 92j:35160 

Boettcher, Stefan see Bender, Carl M.; et al., 92j:35160 

Bogaevskii, V. N. (with Povzner, A.) * Algebraic methods in nonlinear perturbation 
theory. 92j:34002 

Bondarev, B. V. Averaging in parabolic systems subject to weakly dependent random 
perturbations. The L,-approach. (Russian. Ukrainian summary) 924:35133 

Chen, Zong Yun (with Huang, Nian Ning; Liao, Guojun G.) A perturbation theory for the 
modified nonlinear Schrédinger equation with corrections. 92m:35248 

Chipot, Michel (with Vergara-Caffarelli, G.) Some results in viscoelasticity theory via a 
simple perturbation argument. 924:73025 

Diaz, Gregorio Boundaries of positivity in Hamilton-Jacobi equations with monotonic 
perturbations. (Spanish) 92d:35068 

Di Piazza, Luisa A perturbation result for a class of superlinear variational elliptic 
problems. (Italian. English summary) 92j:35065 

Dzyublik, A. Ya. Solution of the time-dependent Schrédinger equation in a nontraditional 
Hilbert space. (Russian. English summary) 92j:35036 

Engelbrecht, Jiiri K. Solutions to the perturbed KdV equation. 924:35245 

Feldman, Joel (with Knérrer, Horst; Trubowitz, Eugene) Perturbatively unstable eigenval- 
ues of a periodic Schrédinger operator. 92k:35067 

Gérard, Patrick Mesures semi-classiques et ondes de Bloch. [Semiclassical measures and 
Bloch waves] 92k:35068 

Golovatyi, Yu. D. (with Nazarov, S. A.; Oleinik,O. A.) Asymptotic expansions of eigenval- 
ues and eigenfunctions of problems on oscillations of a medium with concentrated pertur- 
bations. (Russian) 92b:35113 

Gordienko, V.M. (with Tyshchenko, A. V.) A condition for the coincidence of the rate 
of propagation of perturbations in the wave equation and its symmetrization. (Russian) 
92£:58177 

Gurarie, David Multiparameter averaging and inverse spectral problem for anharmonic 
oscillators in R". 92k:35203 

Hale, Jack K. see Arrieta, José M.; et al., 92f:35110 

Han, Qing see Arrieta, José M.; et al., 92f:35110 

Henshaw, William D. (with Kreiss, Heinz-Otto) A numerical study of the propagation 
of perturbations in the solution of the 2D incompressible Navier-Stokes equations. 
92b:65075 

Huang, Nian Ning see Chen, Zong Yun; et al., 92m:35248 





35B20 


Irac-Astaud, M. Perturbed nonlinear equations: application to the Korteweg-de Vries 
equation considered as a perturbed Euler equation. 92h:35210 
Kai, Shoichi see Tribel/skii, M. 1.; et al., 92j:35174 


Karpeshina, Yu. E. Perturbation theory for the Schrodinger operator with periodic potential. 


(Russian) 92f:35052 

Keller, Joseph B. see Ward, Michael J., 92b:35119 

Knorrer, Horst see Feldman, Joel; et al., 92k:35067 

Kreiss, Heinz-Otto see Henshaw, William D., 92b:65075 

Kuznetsov, A. O. (with Nasretdinov, S. S.) Perturbation of a second-order differential 
equation by a small nonlinear integro-differential term. (Russian) 92m:34180 

Lasiecka, Irena Exponential stabilization of hyperbolic systems with nonlinear, unbounded 
perturbations—Riccati operator approach. 92m:47153 

Liao, Guojun G. see Chen, Zong Yun; et al., 92m:35248 

Lo Surdo, C. Some aspects of the axisymmetric magnetohydrostatic problem. 92m:35222 

Malyshev, Igor On some perturbation techniques for quasi-linear parabolic equations. 
924:35149 

Milton, Kimball A. see Bender, Carl M.; et al., 92j:35160 

Murdock, James A. * Perturbations. 92i:34067 

Nabutovsky, Alexander Number of solutions with a norm bounded by a given constant of a 
semilinear elliptic PDE with a generic right-hand side. 92j:35069 

Nasretdinov, S.S. see Kuznetsov, A. O., 92m:34180 

Nazarov, S. A. see Golovatyi, Yu. D.; et al., 92b:35113 

Newton, Paul K. Branching near plane waves in perturbed dispersive systems. 92c:76030 

Nochetto, Ricardo H. (with Verdi, Claudio) Approximation of multidimensional Stefan- 
like problems via hyperbolic relaxation. 92a:35165 

Oleinik, O. A. see Golovatyi, Yu. D.; et al., 92b:35113 

Papageorgiou, Nikolaos S. see Avgerinos, Evgenios P., 92h:35093 

Pedersen, Michael Pseudodifferential perturbations and stabilization of distributed 
parameter systems: Dirichlet feedback control problems. 92b:93071 

Petkov, Vesselin M. Péles de la matrice de diffusion pour des perturbations captives. [Poles 
of the scattering matrix for bound perturbations] 92k:35208 

Povzner, A. see Bogaevskii, V. N., 92j:34002 

Pyasetskaya, T. E. Oscillations of a string in the presence of random perturbations. 
(Russian) 92¢:35132 

Schaaf, Renate (with Schmitt, Klaus) Periodic perturbations of linear problems at 
resonance on convex domains. 92a:35046 

Schmitt, Klaus see Schaaf, Renate, 92a:35046 

Seleznev, S.G. see Shutyaev, V. P., 92h:35131 and 92h:35132 

Shulman, E. 1. see Zakharov, V. E., 92c:35091 

Shutyaev, V. P. (with Seleznev, S.G.) * Ksa3sunmHehubie quddbepenyManbuble ypaBHeHHs B 
YaCTHBIX NPOHSBOAHBIX HW HX NPHJIOKeHHA B 3aaiaxX MaTeMaTHYeCKON u3uKH. (Russian) 
[Quasilinear partial differential equations and their applications in problems of 
mathematical physics] 92h:35131 

— (with Seleznev, S.G.) * ConpsxeHHbie ypaBHeHHs H aJITOpHTMbI BOSMYIIeHHH 18 
KBa3HJIHHeHHOTO ypaBHeHHa JBuxKeHHA. (Russian) [Conjugate equations and perturbation 
algorithms for a quasilinear equation of motion] 92h:35132 

— A perturbation algorithm for a second-order quasilinear elliptic problem. (Russian) (see 
92m:00024) 

— On a justification of a perturbation algorithm in a nonlinear hyperbolic problem. 
(Russian) 92h:35133 

— Justification of perturbation algorithm for weakly nonlinear elliptic second-order 
boundary value problem. 92h:35082 

Sjostrand, Johannes (with Zworski, Maciej) Complex scaling and the distribution of 
scattering poles. 92g:35166 

Skiba, Yu. N. * O quHamuke Bo3MylIeHH pelwieHH ypaBHeHHA BAXPA CKOPOCTH HeaIbHOK 
%KHIKOCTH Ha ciepe. (Russian) [The dynamics of perturbations of solutions of a vortex 
equation of the velocity of an ideal fluid on a sphere] 92g:35187 

Strauss, Walter Alexander see Beals, Michael, (92d:35009) 

Tribel'skii, M.1. (with Kai, Shoichi; Yamazaki, Hideki) Transitions between different 
stable states in one-dimensional Ginzburg-Landau equation. 92j:35174 

Trubowitz, Eugene see Feldman, Joel; et al., 92k:35067 

Tyshchenko, A. V. see Gordienko, V. M., 92£:58177 

Verdi, Claudio see Nochetto, Ricardo H., 92a:35165 

Vergara-Caffarelli, G. see Chipot, Michel, 924:73025 

Ward, Michael J. (with Keller, Joseph B.) Nonlinear eigenvalue problems under strong 
localized perturbations with applications to chemical reactors. 92b:35119 

Watanabe, Kazuo Smooth perturbations of the selfadjoint operator |A|*/?. 92j:47094 

Yamamoto, Kazuhiro Scattering theory and spectral representations for general wave 
equations with short range perturbations. 92j:35144 

Yamazaki, Hideki see Tribel’skii, M. 1.; et al., 92j:35174 

Zakharov, V. E. (with Shul'man, E. 1.) Integrability of nonlinear systems and perturbation 
theory. 92¢:35091 

Zhou, Zhe Yan A nonlinear eigenvalue problem with boundary perturbation. (Chinese. 
English summary) 92i:34032 

Zworski, Maciej see Sjostrand, Johannes, 92g:35166 


35B25 Singular perturbations 


Ashino, Ryuichi On the weak admissibility of singular perturbations in Cauchy problems. 
92a:35014 

— On Nagumo’s H‘-stability in singular perturbations. 92m:35019 

Bronsard, Lia (with Kohn, Robert V.) Motion by mean curvature as the singular limit of 
Ginzburg-Landau dynamics. 924:35037 

Buchnev, V. Yu. see Butuzov, V. F., 92g:35025 

Butuzov, V. F. (with Esimova, S. T.) A smoothing procedure in a singularly perturbed 
parabolic problem. (Russian) 92¢:35014 

— (with Buchnev, V. Yu.) On the asymptotic behavior of the solution of a singularly 
perturbed two-dimensional problem of reaction-diffusion-transport type. (Russian) 
92g:35025 

— see also Vasil’eva, A. B.; et al., (92i:65009) 


PARTIAL DIFFERENTIAL EQUATIONS 1992 548 


Cai, Jian Ping Singular perturbation of elliptic fourth-order equations with turning points. 
(Chinese. English summary) 924:35038 

Colli, Pierluigi (with Rodrigues, José-Francisco) Hyperbolic perturbation problems 
involving time derivatives on the boundary. 92a:35015 

Debussche, Arnaud A singular perturbation of the Cahn-Hilliard equation. 92i:35011 

Dvoryaninov, S. V. Approximate periodic solutions of autonomous singularly perturbed 
parabolic systems. (Russian) (see 92d:35003) 

Eizenberg, Alexander The exponential leveling in elliptic singular perturbation problems 
with complicated attractors. 92b:35022 

— (with Freidlin, M.) Partial differential systems with a small parameter and diffusion 
process with a discrete component. 92j:35010 

Esimova, S.T. see Butuzov, V. F., 92c:35014 

Freidlin, M. see Eizenberg, Alexander, 92j:35010 

Gardner, Robert Alan (with Jones, Christopher K. R. T.) Traveling waves of a perturbed 
diffusion equation arising in a phase field model. 92d:35039 

Hale, Jack K. (with Raugel, Genevieve) Partial differential equations on thin domains. 
92i:35012 

Halpern, Laurence Artificial boundary conditions for incompletely parabolic perturbations 
of hyperbolic systems. 92m:35020 

van Hassel, R. R. Accurate asymptotics for singularly perturbed dynamic free boundary 
problems. 92c:35015 

Jiang, Ben Xian see Lin, Peng Cheng; et al., 92c:35016 

Jones, Christopher K. R. T. see Gardner, Robert Alan, 92d:35039 

Kadykenov, B. M. see Kasymov, K. A., 92h:35016 

Kasymov, K. A. (with Kadykenov, B. M.) Estimates for solutions of a boundary value 
problem for systems of linear hyperbolic equations with a small parameter. (Russian. 
English and Kazakh summaries) 92h:35016 

Kohn, Robert V. see Bronsard, Lia, 924:35037 

Koike, Shigeaki On the rate of convergence of solutions in singular perturbation problems. 
92k:35022 

Kolesov, A. Yu. Self-induced oscillations of singularly perturbed parabolic systems of the 
first degree of structural instability. (Russian) 92g:35026 

Lin, Peng Cheng (with Jiang, Ben Xian) A singular perturbation problem for periodic 
boundary partial differential equation. (Chinese. English summary) 92c:35016 

Lin, Zong Chi Singular perturbation of the fourth order elliptic equation when the limit 
equation is elliptic-parabolic. (Chinese. English summary) 92a:35016 

Louro, Bento Asymptotic analysis of the electrochemistry equations: correctors in the multi- 
dimensional case. 92k:35023 

Maslov, V. P. * AcuMnToTHYecKHe MeTOZbI H TeOpHa BOSMyueHHK. (Russian) [Asymptotic 
methods and perturbation theory] 92i:35013 

Mo, Jia Qi Singularly perturbed elliptic partial differential equations of fourth order. 
(Chinese. English summary) 92k:35024 

Najman, B. Resolvent estimates for singularly perturbed elliptic operators. (Serbo-Croatian 
summary) 92¢:35017 

Nefédov, N. N. see Vasil’eva, A. B.; et al., (92i1:65009) 

Panasenko, G. P. Multicomponent averaging of processes in strongly inhomogeneous 
structures. (Russian) 92h:35017 

Perthame, Benoit Singular perturbations of a dynamical system with a turning point—PDE 
methods. 92j:35011 

Raugel, Genevieve see Hale, Jack K., 92i:35012 

Rodrigues, José-Francisco see Colli, Pierluigi, 92a:35015 

Schatzman, Michelle Postprocessing of dispersive approximations to a hyperbolic problem. 
92b:35023 

Sevéovit, Daniel Limiting behavior of global attractors for singularly perturbed beam 
equations with strong damping. 92f:35021 

Teta, Alessandro Quadratic forms for singular perturbations of the Laplacian. 92g:35027 

Vasil‘eva, A. B. (with Butuzov, V. F.; Nefédov, N. N.) The contrast structure type solutions 
of nonlinear singularly perturbed equations. (see 92i:65009) 

Ward, Michael J. Singular perturbations and a free boundary problem in the modeling of 
field-effect transistors. 92j:35012 

Zhang, Xiang Singular perturbations of the Robin problem for a class of quasilinear elliptic 
equations. (Chinese) 92i:35014 


Items with secondary classifications in 35B25 

Abduvalieva, G. K. (with Sushko, V.G.) Asymptotic representations of solutions of some 
singularly perturbed problems for equations of mixed type. (Russian) 

Alikakos, Nicholas D. (with McKinney, William R.) Remarks on the equilibrium theory for 
the Cahn-Hilliard equation in one space dimension. 92b:35081 

— (with Bates, Peter W.; Fusco, Giorgio) Slow motion for the Cahn-Hilliard equation in one 
space dimension. 92a:35152 

— (with Bates, Peter W.; Fusco, Giorgio) Slow motion manifolds for a class of singular 
perturbation problems: the linearized equations. 92i:35068 

Ashyralyev, A. (with Fattorini, H.O.) On uniform difference schemes for second-order 
singular perturbation problems in Banach spaces. 92k:65143 

Bardi, Martino (with Perthame, Benoit) Uniform estimates for some degenerating 
quasilinear elliptic equations and a bound on the Harnack constant for linear equations. 
92a:35028 

Bates, Peter W. see Alikakos, Nicholas D.; et al., 92a:35152 and 92i:35068 

Bennett, Allan D. Continuous dependence on modeling in the Cauchy problem for nonlinear 
elliptic equations. 92j:35047 

Berezin, B. 1. (with Sushko, V.G.) Asymptotic expansion with respect to a small parameter 
of the solution of a problem with degeneration. (Russian) 92i:35025 

Boglaev, I. P. (with Sirotkin, V. V.) The integral-difference method for quasilinear singular 
perturbation problems. 92k:65144 

Bourquin, Frédéric (with Ciarlet, Philippe G.) Modeling and justification of eigenvalue 
problems for junctions between elastic structures. 92¢:73032 

Bulycheva, O. N. (with Vasil’eva, A. B.; Sushko, V.G.) Asymptotic expansions with respect 
to small parameters of the solutions of some problems for parabolic equations. (Russian) 
92h:35091 

Butuzov, V. F. see Vasil‘eva, A. B., 92i:34072 





549 1992 


Caffarelli, Luis A. Free boundary problems and their singular perturbations. 92k:35291 

Chernyaev, P. K. Asymptotics of functionals on solutions of Dirichlet and Neumann 
problems in a domain with cuts depending on a small parameter. (Russian. English 
summary) 92h:35037 

Chin, R. C. Y. (with Hedstrom, G. W.) Domain decomposition: an instrument of 
asymptotic-numerical methods. (see 92b:00035) 

Ciarlet, Philippe G. see Bourquin, Frédéric, 92¢:73032 

Cox, Robert W. Stress-assisted diffusion: a free boundary problem. 92i:35131 

Donato, Andrea (with Palumbo, Annunziata) Approximate invariant solutions to 
dissipative systems. (see 92k:35002) 

Fabre, Caroline (with Puel, Jean-Pierre) Wave equations with singular right-hand side: 
application to exact controllability. 92m:35031 

Fattorini, H.O. see Ashyralyev, A., 92k:65143 

Fusco, Giorgio see Alikakos, Nicholas D.; et al., 92a:35152 and 92i:35068 

Garbey, Mare (with Scroggs, Jeffrey S.) Asymptotic-induced numerical methods for 
conservation laws. 92e:65132 

— see also Asymptotic analysis and the numerical solution of partial differential equations, 
92b:00035 

Golovatyi, Yu. D. The spectral Neumann problem for the Laplace operator with singularly 
perturbed density. (Russian) 92g:35162 

Han, Zheng-Chao Asymptotic approach to singular solutions for nonlinear elliptic 
equations involving critical Sobolev exponent. (French summary) 92¢:35047 

Hedstrom, G. W. see Chin, R. C. Y., (92b:00035) 

Kachalov, V. I. Smoothness of solutions of differential equations that contain a parameter. 
(Russian) 924:34122 

(Kaper, Hans G.) see Asymptotic analysis and the numerical solution of partial differential 

, 92b:00035 

Kholodkov, A. V. see Loginov, B. V., 92¢:35036 

Kolesov, A. Yu. (with Kolesov, Yu. S.) Bifurcation of self-induced oscillations of a 
singularly perturbed wave equation. (Russian) 92e:35031 

Kolesov, Yu.S. see Kolesov, A. Yu., 92e:35031 

Li, Rong Hua see Yang, Hong Tao, 92c:65143 

Lin, Ping' see Su, Yu Cheng; et al., 92d:65173 

Lin, Sung Shan Semilinear elliptic equations on singularly perturbed domains. 92f:35066 

— On the number of positive solutions for nonlinear elliptic equations when a parameter is 
large. 92d:35030 

Liu, Guo Qing see Su, Yu Cheng; et al., 92k:65149 

Loginov, B. V. (with Kholodkov, A. V.) The Bitsadze-Samarskii problem for the Laplace 
equation with a small parameter. (Russian) 92¢:35036 

Maz'ya, V.G. (with Nazarov, S. A.; Plamenevskii, B. A.) * Asymptotische Theorie elliptis- 
cher Randwertaufgaben in singular gestérten Gebieten. I. (German) [Asymptotic theory 
of elliptic boundary value p in singularly perturbed domains. I.] 92g:35059 

McKinney, William R. see Alikakos, Nicholas D., 92b:35081 

Miller, John J. H. (with Shishkin, G.I.) On the construction of uniformly convergent finite 
difference schemes for singularly perturbed problems for a quasilinear elliptic equation. 
92m:65128 

Mo, Jia Qi Singular perturbation of initial-boundary value problems for a class of reaction 
diffusion systems. (Chinese. English summary) 92h:35106 

Murdock, James A. * Perturbations. 92i:34067 

Nazarov, S. A. Asymptotic expansion of the solution of the Dirichlet problem for an 
equation with rapidly oscillating coefficients in a rectangle. (Russian) 92h:35038 

— see also Maz'ya, V. G.; et al., 92g:35059 

Ni, Ming Kang Periodic solution to a kind of singularly perturbed differential equations of 
parabolic type in chemical kinetics. (Chinese. English summary) 92i:35009 

Nishiura, Yasumasa Singular limit approach to stability and bifurcation for bistable 
reaction diffusion systems. 92h:35107 

Oleinik, O. A. Spectral properties of operators singularly depending on parameters and 
applications to mathematical physics. 92e:47128 

O’Riordan, Eugene (with Stynes, Martin) A globally uniformly convergent finite element 
method for a singularly perturbed elliptic problem in two dimensions. 92j:65174 

Palumbo, Annunziata see Donato, Andrea, (92k:35002) 

Pavel/ev, A. V. see Vasileva, A. B. 

Perthame, Benoit see Bardi, Martino, 92a:35028 

Plamenevskii, B. A. see Maz'ya, V. G.; et al., 92g:35059 

Puel, Jean-Pierre see Fabre, Caroline, 92m:35031 

Reiter, Edna see Rodrigue, Garry H., 92:65151 

Ringhofer, Christian An asymptotic analysis of the quantum Liouville equation. 92¢:35035 

Rodrigue, Garry H. (with Reiter, Edna) An asymptotically induced domain decomposition 
method for parabolic boundary layer problems. 92f:65151 

Scroggs, Jeffrey S. see Garbey, Marc, 92e:65132 

Shen, Quan see Su, Yu Cheng; et al., 92j:65155 

Shishkin, G.I. Difference approximation of a singularly perturbed quasilinear elliptic 
equation that degenerates into a first-order equation. (Russian) 92g:65107 

— Grid approximation of singularly perturbed boundary value problem for the quasi-linear 
elliptic equation degenerating into the first-order equation. 92f:65126 

— Grid approximation of singularly perturbed boundary value problem for quasi-linear 
parabolic equations in the case of complete degeneracy in spatial variables. 92i:65135 

— Difference approximation of singularly perturbed parabolic equations that are degenerate 
on the boundary. (Russian) 92i:65158 

— Grid approximation of a singularly perturbed boundary value problem for a quasilinear 
elliptic equation in the case of complete degeneration. (Russian) 92k:65148 

— see also Miller, John J. H:, 92m:65128 

Sirotkin, V. V. see Boglaev, I. P., 92k:65144 

Skvortsov, M. Yu. see Vishik, M. I., 92k:35122 

Stewart, D. Scott Surface evolution equations from detonation theory. (see 92b:00035) 

Stynes, Martin see O’Riordan, Eugene, 92j:65174 

Su, Yu Cheng (with Lin, Ping') An exponentially fitted difference scheme for the 
hyperbolic-hyperbolic singularly perturbed initial-boundary value problem. (Chinese. En- 
glish summary) 924:65173 

— (with Shen, Quan) The numerical solution of a singularly perturbed problem for 





35B Qualitative properties of solutions 


35B27 


semilinear parabolic differential equation. (Chinese. English summary) 92j:65155 

— (with Liu, Guo Qing) Numerical solution of singular perturbation problems for the 
fourth-order elliptic differential equations. (Chinese. English summary) 92k:65149 

Sushko, V. G. see Bulycheva, O. N.; et al., 92h:35091; Berezin, B. I., 92i:35025 and 
Abduvalieva, G. K. 

Toyoizumi, Hiroshi Continuous dependence on obstacles in variational inequalities. 
92h:35089 

Vasil’eva, A. B. (with Butuzov, V. F.) * AcuMnToTH4¥ecKHe MeTOJbI B TEOPHH CHHTYIApHBIX 
BosmymleHHi. (Russian) [Asymptotic methods in the theory of singular perturbations] 
92i:34072 

— (with Pavel’ev, A. V.) On the formation of a solution of contrast structure type for a 
singularly perturbed parabolic equation for large time values. (Russian. English summary) 

— see also Bulycheva, O. N.; et al., 92h:35091 

Vishik, M.1. (with Skvortsov, M. Yu.) Asymptotic behavior of elements of attractors 
corresponding to singularly perturbed parabolic equations. (Russian) 92k:35122 

Vulanovié, Relja Nonequidistant finite difference methods for elliptic singular perturbation 
problems. (see 92i:65007) 

Yang, Hong Tao (with Li, Rong Hua) BEM for singular perturbation problems and uniform 
estimates of their convergence rates. 92¢:65143 


Items listed otherwise than by author 


Argonne, IL * Asymptotic analysis and the numerical solution of partial differential 
equations. 92b:00035 
Asymptotic analysis and the numerical solution of partial differential equations * Asymptotic 
analysis and the numerical solution of partial differential equations. 92b:00035 
Workshop: 
Asymptotic Analysis and the Numerical Solution of Partial Differential Equations 
%* Asymptotic analysis and the numerical solution of partial differential equations. 
92b:00035 


35B27 Homogenization; partial differential equations in media 
with periodic structure [see also 73B27, 76D30] 


Alexandre, Radjesvarane (with Hamdache, Kamel) Homogénéisation d’équations 
cinétiques en milieu perforé. (English summary) [Homogenization of kinetic equations 
in a perforated domain] 92f:35022 

Allaire, Grégoire Homogenization of the Navier-Stokes equations and derivation of 
Brinkman’s law. 92m:35021 

— Homogenization of the Navier-Stokes equations with a slip boundary condition. 
92d:35040 

Amirat, Youcef (with Hamdache, Kamel; Ziani, Abdelhamid) Homogenization of a model 
of compressible miscible flow in porous media. (Italian summary) 92f:35023 

— (with Hamdache, Kamel; Ziani, Abdelhamid) Homogénéisation non locale pour 
des équations dégénérées a coefficients périodiques. (English summary) [Nonlocal 
homogenization for degenerate equations with periodic coefficients] 92b:35024 

BabuSka, Ivo see Morgan, R. C., 92b:35025 

Boccardo, Lucio (with Gallouét, Thierry) Homogenization for “Castro-Lazer equation”. 
92i:35015 

— (with Del Vecchio, T.) Homogenization of strongly nonlinear equations with gradient 
dependent lower order nonlinearity. 92k:35025 

Cioranescu, Doina (with Donato, Patrizia; Murat, Francois; Zuazua, Enrike) Homogeniza- 
tion and corrector for the wave equation in domains with small holes. 92i:35016 

Damlamian, Alain (with Donato, Patrizia) Homogenization with small perforations of 
increasingly complicated shapes. 924:35041 

Del Vecchio, T. On the homogenization of a class of pseudomonotone operators in 
divergence form. (Italian summary) 92¢:35030 

— see also Boccardo, Lucio, 92k:35025 

Donato, Patrizia see Damlamian, Alain, 92d:35041 and Cioranescu, Doina; et al., 92i:35016 

E, Wei Nan Homogenization of linear and nonlinear transport equations. 92k:35026 

Gallouét, Thierry see Boccardo, Lucio, 92i:35015 

Gérard, Patrick Microlocal defect measures. 92k:35027 

Golse, Francois Moyennisation des champs de vecteurs et EDP. [The averaging of vector 
fields and PDEs] 92a:35017 

Hamdache, Kamel see Amirat, Youcef; et al., 92b:35024; Alexandre, Radjesvarane, 92f:35022 
and Amirat, Youcef; et al., 92£:35023 

Héron, Bernard (with Mossino, Jacqueline; Picard, Colette) Homogénéisation de structures 
stratifiées avec faible et forte conductivités. (English summary) [Homogenization of 
stratified structures with low and high conductivities] 92m:35022 

Hou, Thomas Y. (with Xin, Xue) Homogenization of linear transport equations with 
oscillatory vector fields. 92k:35028 

Kaizu, Satoshi The Poisson equation with nonautonomous semilinear boundary conditions 
in domains with many time holes. 92f:35024 

Khruslov, E. Ya. Homogenized models of composite media. 92m:35023 

Kozlov, S.M. Geometry and asymptotics in homogenization. (see 92h:73002) 

— (with Vucans, Janis) Explicit formula for effective thermoconductivity on the quadratic 
lattice structure. (French summary) 92m:35024 

Lobo-Hidalgo, Miguel (with Pérez, Eugenia; Samartin, Avelino) Homogenization problems 
in engineering: a numerical experiment. (Spanish. English summary) 

Mikeli¢, Andro Homogenization of nonstationary Navier-Stokes equations in a domain 
with a grained boundary. 92h:35018 

Morgan, R. C. (with BabuSka, Ivo) An approach for constructing families of homogenized 
equations for periodic media. II. Properties of the kernel. 92b:35025 

Mosco, Umberto Composite media and Dirichlet forms. (see 92h:73002) 

Mossino, Jacqueline see Héron, Bernard; et al., 92m:35022 

Murat, Francois see Cioranescu, Doina; et al., 92i:35016 

Pérez, Eugenia see Lobo-Hidalgo, Miguel; et al. 

Picard, Colette see Héron, Bernard; et al., 92m:35022 

Samartin, Avelino see Lobo-Hidalgo, Miguel; et al. 

Santosa, Fadil A dispersive effective medium theory for waves in periodic media. (see 
92a:65021) 





35B27 


Tartar, Luc Memory effects and homogenization. 92h:35019 

Vucins, Janis see Kozlov, S. M., 92m:35024 

Xin, Xue see Hou, Thomas Y., 92k:35028 

Ziani, Abdelhamid see Amirat, Youcef; et al., 92b:35024 and 92f:35023 
Zaazma, Enrike see Cioranescu, Doina; et al., 92i:35016 


Items with secondary classifications in 35B27 


Aganovi¢, Ibrahim Homogenization of small oscillations of a heavy inviscid fluid in an open 
reservoir containing many solid tubes. (French summary) 92m:76021 

Alexopoulos, Georges La conjecture de Kato pour des opérateurs différentiels elliptiques, 4 
coefficients périodiques. (English summary) [Kato’s conjecture for second-order elliptic 
differential operators with periodic coefficients] 924:35082 

Arbogast, Todd (with Douglas, Jim, Jr.; Hornung, Ulrich) Modeling of naturally fractured 
reservoirs by formal homogenization techniques. 92f:76081 

Bakhvalov, N.S. (with Panasenko, G. P.) * Homogenisation: averaging processes in 
periodic media. 92d:73002 

Cioranescu, Doina (with Saint Jean Paulin, J.) A general method to study very thin cellular 
structures. 92i:73067 

Dall’Aglio, A. (with Tchou, Nicoletta Anna) G-convergence and semilinear elliptic 
equations. 92g:35069 

Douglas, Jim, Jr. see Arbogast, Todd; et al., 92f:76081 

E, Wei Nan A class of homogenization problems in the calculus of variations. 92h:49010 

— (with Serre, Denis) Correctors for the homogenization of conservation laws with 
oscillatory forcing terms. 92m:35170 

Gérard, Patrick Mesures semi-classiques et ondes de Bloch. [Semiclassical measures and 
Bloch waves] 92k:35068 

Golse, Francois Particle transport in nonhomogeneous media. (see 92a:82003) 

Hnid, Mohammed Etude de transmission a travers des inclusions minces faiblement 
conductrices de “codimension un”: homogénéisation et optimisation des structures. 
(English summary) [Study of transmission via codimension-one weakly conducting thin 
inclusions: homogenization and optimization of structures] 92j:73003 

Hornung, Ulrich (with Jager, Willi) Diffusion, convection, adsorption, and reaction of 
chemicals in porous media. 92i:76095 

— Miscible displacement in porous media influenced by mobile and immobile water. 
92£:76084 

— see also Arbogast, Todd; et al., 92f:76081 

Jager, Willi see Hornung, Ulrich, 92i:76095 

Kozlova, M. V. (with Panasenko, G. P.) Averaging a three-dimensional problem of elasticity 
theory in a nonhomogeneous rod. (Russian) 92m:73009 

Kurdyumov, S. P. (with Malinetskii, G. G.; Potapov, A. B.) An approximate study of 
symmetric localized structures. (Russian) 92g:35104 

(Leites, D. A.) see Bakhvalov, N. S., 92d:73002 

Lévy, Thérese see Wodie, Jean-Christophe, 92f:76088 

Lobo-Hidalgo, Miguel (with Pérez, Eugenia) Periodic solutions of the system of linear 
elasticity on unbounded domains. (Spanish) 92h:73013 

Malinetskii, G.G. see Kurdyumoy, S. P.; et al., 92g:35104 

Maugin, Gérard A. see Turbé, N., 92j:73059 

Nandakumar, A. K. Steady and evolution Stokes equations in a porous media [medium] 
with nonhomogeneous boundary data: a homogenization process. 92m:35210 

Panasenko, G. P. see Bakhvalov, N. S., 92d:73002 and Kozlova, M. V., 92m:73009 

Pankov, A. A. Strong G-convergence of nonlinear elliptic operators and homogenization. 
(see 924:00037) 

Pérez, Eugenia see Lobo-Hidalgo, Miguel, 92h:73013 

Potapov, A. B. see Kurdyumoy, S. P.; et al., 92g:35104 

Saint Jean Paulin, J. see Cioranescu, Doina, 92i:73067 

Santosa, Fadil (with Symes, William W.) A dispersive effective medium for wave 
propagation in periodic composites. 92g:73006 

Serre, Denis see E, Wei Nan, 92m:35170 

Symes, William W. see Santosa, Fadil, 92g:73006 

Tchou, Nicoletta Anna see Dall’Aglio, A., 92g:35069 

Turbé, N. (with Maugin, Gérard A.) On the linear piezoelectricity of composite materials. 
92j:73059 

Wodie, Jean-Christophe (with Lévy, Thérése) Correction nonlinéaire de la loi de Darcy. 
(English summary) [Nonlinear rectification of Darcy’s law] 92f:76088 


35B30 Dependence of solutions of PDE on initial and boundary 
data, parameters [see also 58F14] 


Bardos, Claude Practical applications of the notions of propagation of singularities. 
92:35025 

Egorov, Yurii Viadimirovich On the smoothness of boundary values. (Russian) 92c:35018 

Fardigola, L. V. A nonlocal boundary value problem in a layer: the influence of the 
parameters on the properties of the solutions. (Russian) 92k:35029 

Firmani, B. Continuous dependence of the solution of a Goursat problem on the data. 
(Italian. English summary) 92m:35025 

Hoff, David (with Serre, Denis) The failure of continuous dependence on initial data for the 
Navier-Stokes equations of compressible flow. 92¢:35019 

Kreiss, Gunilla The dependence on the outflow boundary condition of the solution of 
steady, incompressible Euler equations. 92f:35026 

Mantlik, Frank Partial differential operators depending analytically on a parameter. 
(French summary) 92m:35026 

Raitums, Uldis On the continuous dependence of solutions of semilinear elliptic equations 
upon parameters. (Russian and Latvian summaries) (see 92d:00013) 

Serre, Denis see Hoff, David, 92c:35019 


Items with secondary classifications in 35B30 
Andreucci, Daniele Existence and uniqueness of solutions to a concentrated capacity 


problem with change of phase. 922:80006 


@’Aujourd’hui, Marcel On the resonance set and the domain shape for a semilinear equation. 
925:35059 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 550 


Bennett, Allan D. Continuous dependence on modeling in the Cauchy problem for nonlinear 
elliptic equations. 92j:35047 

Beretta, Elena (with Vogelius, Michael) An inverse problem originating from magnetohy- 
drodynamics. 924:35294 

Chen, Yun Gang Blow-up solutions of a semilinear parabolic equation with the Neumann 
and Robin boundary conditions. 92m:35138 

Eskin, Gregory The wave equation in a wedge with general boundary conditions. 
92m:35152 

Garguichevich, Graciela G. (with Tarzia, Domingo Alberto) A two-phase Stefan problem 
with internal energy source. (Spanish) 92e:35176 

Kitagawa, Keiichiro Sur le principe de Duhamel. [On the Duhamel principle] 92¢:35053 

Korzyuk, V.1. (with Yurchuk, N. I.) The Cauchy problem for third-order hyperbolic 
operator-differential equations. (Russian) 92i:35077 

Lee, Tzong-Yow (with Ni, Wei-Ming) Global existence, large time behavior and life span of 
solutions of a semilinear parabolic Cauchy problem. 92k:35134 

Lin, Sung Shan Symmetry breaking for semilinear elliptic equations on sectorial domains in 
R?. 92h:35079 

Mamontov, E. V. On a problem with an oblique derivative for the wave equation. (Russian) 
92a:35097 

Mkhitaryan, K. N. Classical solutions of equations of Vlasov type. Uniqueness and 
continuous dependence on the initial condition. (Russian) 92a:35154 

Morro, Angelo (with Straughan, Brian) Continuous dependence on the source parameters 
for convective motion in porous media. 92m:76141 

Ni, Wei-Ming see Lee, Tzong-Yow, 92k:35134 

Ramaswamy, Mythily On a counterexample to a conjecture of Saint-Venant. 92¢:73023 

Straughan, Brian see Morro, Angelo, 92m:76141 

Takat, Peter Large-time behavior of a time-periodic cooperative system of reaction- 
diffusion equations depending on parameters. 92j:35091 

Tarzia, Domingo Alberto see Garguichevich, Graciela G., 92e:35176 

Vogelius, Michael see Beretta, Elena, 92d:35294 

Wei, Guang Zu Uniqueness and continuous dependence of solutions to Cauchy problems 
for pseudodifferential equations of order m. (Chinese) 92i:35137 

Yang, Jian Fu Positive solutions of a semilinear elliptic equation and its asymptotic 
behaviour. 92m:35081 

Yurchuk, N. I. see Korzyuk, V. I., 92i:35077 


35B32 Bifurcation [see also 58F 14] 


Allgower, Eugene L. (with BOhmer, Klaus; Mei, Zhen) On new bifurcation results for 
semilinear elliptic equations with symmetries. 92i:35017 

Béhmer, Klaus see Allgower, Eugene L.; et al., 92i:35017 

Cao, Dao Min Bifurcation for quasilinear elliptic systems on R” with natural growth 
conditions. 92m:35027 

Chou, Mo Hong Hopf bifurcation in a reaction-diffusion system governed by the FitzHugh- 
Nagumo equations. 92k:35030 

Del Pino, Manuel A. (with Manasevich, Raul F.) Global bifurcation from the eigenvalues 
of the p-Laplacian. 92g:35028 

Deng, Yin Bin see Zhou, Huan Song; et al., 92f:35029 

Healey, Timothy J. (with Kielhéfer, Hansjérg) Symmetry and nodal properties in the global 
bifurcation analysis of quasi-linear elliptic equations. 924:35042 

— (with Kielhéfer, Hansjérg) Positivity of global branches of fully nonlinear elliptic 
boundary value problems. 92j:35013 

Imai, Hitoshi (with Kawarada, Hideo) A method for finding bifurcation points. (Russian 
and Polish summaries) 92h:35020 

Iooss, G. (with Los, Jéréme E.) Bifurcation of spatially quasi-periodic solutions in 
hydrodynamic stability problems. 92b:35026 

— (with Mielke, Alexander) Bifurcating time-periodic solutions of Navier-Stokes equations 
in infinite cylinders. 92b:35027 

Kawarada, Hideo see Imai, Hitoshi, 92h:35020 

Kielhéfer, Hansjérg see Healey, Timothy J., 92d:35042 and 92j:35013 

Kolesov, A. Yu. (with Kolesov, Yu. S.) Bifurcation of self-induced oscillations of a 
singularly perturbed wave equation. (Russian) 92¢:35031 

Kolesov, Yu. S. see Kolesov, A. Yu., 92e:35031 

Krejéi, Pavel see Vejvoda, Otto, 92f:35028 

Les, Jéréme E. see Iooss, G., 92b:35026 

Manasevich, Raul F. see Del Pino, Manuel A., 92g:35028 

Mei, Zhen see Allgower, Eugene L.; et al., 92i:35017 

Mielke, Alexander see Iooss, G., 92b:35027 

Nakane, Shizuo A bifurcation phenomenon for a Dirichlet problem with an exponential 
nonlinearity. 92h:35021 

Rother, Wolfgang’ The existence of infinitely many solutions all bifurcating from 4 = 0. 
92h:35022 

Shobukhov, A. V. Branching off of spatially inhomogeneous periodic solutions from limit 
cycles of autonomous systems of ordinary differential equations perturbed by small 
diffusion terms. 92f:35027 

Vejvoda, Otto (with Krejti, Pavel) A note to a bifurcation result of H. Kielhéfer for the 
wave equation. (Czech summary) 92f:35028 

Zhou, Huan Song (with Deng, Yin Bin) The L” bifurcation problem for semilinear elliptic 
equations in striplike domains. (Chinese. English summary) 92f:35029 

— see also Zhu, Xi Ping; et al., 92a:35018 

Zhu, Xi Ping (with Zhou, Huan Song) The problem of bifurcation from the essential 
spectrum. (Chinese) 92a:35018 


Items with secondary classifications in 35B32 

Adimurthi (with Yadava, S.L.) Multiplicity results for semilinear elliptic equations in a 
bounded domain of R? involving critical exponents. 92¢:35045 

Allgower, Eugene L. (with Bohmer, Klaus; Mei, Zhen) A complete bifurcation scenario 
for the 2-d nonlinear Laplacian with Neumann boundary conditions on the unit square. 
92e:58044 

Amann, Herbert Hopf bifurcation in quasilinear reaction-diffusion systems. 92h:35102 





551 1992 


Baginski, Frank E. The buckling of elastic spherical caps. 92g:73049 

Barkley, Dwight see Tuckerman, Laurette S., 92g:76046 

Bazley, N. W. (with Nguyen Xuan Tan) On the primary and secondary bifurcation of 
equations involving scalar nonlinearities. 92¢:58015 

Bertsch, Michiel (with Klaver, M. H. A.) On positive solutions of Au + Af(u) = 0 with f 
discontinuous. 92h:35075 

Bohmer, Klaus see Allgower, Eugene L.; et al., 92e:58044 

Bokolishvili, I. B. (with Kashchenko, S. A.; Malinetskii, G. G.; Potapov, A. B.) Complex 
ordering and stochastic oscillations in some reaction-diffusion systems. (see 92i:65009) 

Brown, K. J. (with Tertikas, Achilles) On the bifurcation of radially symmetric steady-state 
solutions arising in population genetics. 92e:92018 

Burnell, J.G. see Wake, G. C.; et al., 92b:80014 

Cantrell, Robert Stephen (with Cosner, Chris) Diffusive logistic equations with indefinite 
weights: population models in disrupted environments. II. 92h:92015 

Cao, Dao Min Positive solution and bifurcation from the essential spectrum of a semilinear 
elliptic equation on R". 92a:35008 

Chen, Benito C. (with Jorge, M. C.; Minzoni, A. A.) Bifurcation of solutions for an inverse 
problem in potential theory. 92j:35185 

Chow, Shui-Nee (with Deng, Bo; Terman, David) The bifurcation of homoclinic orbits 
from two heteroclinic orbits—a topological approach. 92g:58093 

Collet, Pierre Amplitude analysis of the Swift-Hohenberg equation. 924:35139 

Corréa, F. J.S.de A. On pairs of positive solutions for a class of sub-superlinear elliptic 
problems. 92j:35064 

Cosner, Chris see Cantrell, Robert Stephen, 92h:92015 

Crouzeix, Michel (with Rappaz, Jacques) * On numerical approximation in bifurcation 
theory. 924:65003 

Demékhin, E. A. (with Tokarev, G. Yu.; Shkadov, V. Ya.) Hierarchy of bifurcations of 
space-periodic structures in a nonlinear model of active dissipative media. 92k:58249 

Deng, Bo see Chow, Shui-Nee; et al., 92g:58093 

Ehrenstein, Uwe (with Koch, Werner) * Nonlinear bifurcation study of plane Poiseuille 
flow. 92f:76035 

Ei, S.-I. see Mimura, Masayasu; et al., 92g:92017 

Eilbeck, J.C. (with Furter, J. E.) Understanding steady-state bifurcation diagrams for a 
model reaction-diffusion system. 92b:58157 

Eleonskii, V.M. (with Korolev, V. G.; Kulagin, N. E.; Shil/nikov, L. P.) Branching 
bifurcations of vector envelope solitons and integrability of Hamiltonian systems. 
(Russian) 92e:35145 

Ermentrout, George Bard Stripes or spots? Nonlinear effects in bifurcation of reaction- 
diffusion equations on the square. 92g:92007 

Fang, Qing see Mimura, Masayasu; et al., 92g:92017 

Farter, J. E. see Eilbeck, J. C., 92b:58157 

Garbey, Mare (with Kaper, Hans G.; Kwong, Man Kam) Symboli ipulation software 
and the study of differential equations. (see 92b:00035) 

Gardner, Robert Alan Stability and Hopf bifurcation of steady state solutions of a singularly 
perturbed reaction-diffusion system. 92k:35143 

Graham-Eagle, J.G. see Wake, G. C.; et al., 92b:80014 

Gray, Brian F. see Wake, G. C.; et al., 92b:80014 

Healey, Timothy J. Stability and bifurcation of rotating nonlinearly elastic loops. 92f:73031 

Jorge, M.C. see Chen, Benito C.; et al., 92j:35185 

Kaper, Hans G. see Garbey, Marc; et al., (92b:00035) 

Kashchenko, S. A. see Bokolishvili, I. B.; et al., (92i:65009) 

Klaver, M. H. A. see Bertsch, Michiel, 92h:35075 

Koch, Werner see Ehrenstein, Uwe, 92:76035 

Kokubu, Hiroshi (with Nishiura, Yasumasa; Oka, Hiroe) Heteroclinic and homoclinic 
bifurcations in bistable reaction diffusion systems. 92a:58128 

Korolev, V. G. see Eleonskii, V. M.; et al., 92¢:35145 

Kulagin, N. E. see Eleonskii, V. M.; et al., 92e:35145 

Kipper, Tassilo Verzweigung aus dem wesentlichen Spektrum. [Bifurcation from the 
essential spectrum] 92¢e:58042 

Kwong, Man Kam see Garbey, Marc; et al., (92b:00035) 

Lauterbach, Reiner Dynamics near steady state bifurcations in problems with spherical 
symmetry. 92f:58121 

Lin, Sung Shan Symmetry breakings for Au + 2de“ = 0 on disk with general boundary 
conditions. 92d:35105 

— Positive radial solutions and nonradial bifurcation for semilinear elliptic equations in 
annular domains. 92k:35018 

— Symmetry breaking for semilinear elliptic equations on sectorial domains in R?. 
92h:35079 

— Existence of positive nonradial solutions for nonlinear elliptic equations in annular 
domains. 92k:35019 

Lupo, D. (with Micheletti, A.M.) An application to bifurcation problems of cusps in 
Banach spaces. 92i:58037 

Malinetskii, G.G. see Bokolishvili, I. B.; et al., (92i:65009) 

Malomed, B. A. (with Mitlin, V. S.; Nikolaevskii, V. N.) Short-wave bifurcation in a model 
of a seismically active medium, and dominant frequencies. (Russian) 92m:73059 

Margolis, Stephen B. New routes to quasiperiodic combustion of solids and high-density 
fluids near resonant Hopf bifurcation points. 92d:80005 

— Erratum: “New routes to quasiperiodic combustion of solids and high-density fluids near 
resonant Hopf bifurcation points” [SIAM J. Appl. Math. 51 (1991), no. 3, 693-726; MR 
92d:80005]. 

Mei, Zhen Bifurcations of a simplified buckling problem and the effect of discretizations. 
92i:47078 

— see also Aligower, Eugene L.; et al., 92e:58044 

Micheletti, A.M. see Lupo, D., 92i:58037 

Miersemann, Erich (with Mittelmann, Hans D.) On the stability in obstacle problems with 
applications to the beam and plate. (German and Russian summaries) 92i:47086 

Mimura, Masayasu (with Ei, S.-I.; Fang, Qing) Effect of domain-shape on coexistence 
problems in a competition-diffusion system. 92g:92017 

Minzoni, A. A. see Chen, Benito C.; et al., 92j:35185 

Mitlin, V.S. see Malomed, B. A.; et al., 92m:73059 





35B Qualitative properties of solutions 


35B35 


Mittelmann, Hans D. see Miersemann, Erich, 92i:47086 

Negrén-Marrero, Pablo V. Shear instabilities for the buckling of non-linearly elastic plates. 
92g:73051 

Nguyén Xuan Tan see Bazley, N. W., 92c:58015 

Nicolds-Carrizosa, Alfredo A finite difference approach to the Kuramoto-Sivashinsky 
equation. (see 92a:00035) 

Nikolaevskii, V. N. see Malomed, B. A.; et al., 92m:73059 

Nishiura, Yasumasa Singular limit approach to stability and bifurcation for bistable 
reaction diffusion systems. 92h:35107 

— see also Kokubu, Hiroshi; et al., 92a:58128 

Oka, Hiroe see Kokubu, Hiroshi; et al., 92a:58128 

Petzeltova, Hana The Hopf bifurcation theorem for parabolic equations with infinite delay. 
(Czech summary) 92m:34182 

Pismen, L. M. Prototype long-scale equations of dissipative dynamics. 92a:58122 

Pomeau, Yves Extended systems: the impact of nonlinear science. 92i:76053 

Pospiech, Christoph A Dirichlet problem exhibiting global bifurcation with symmetry 
breaking. 92b:58241 

Potapov, A. B.. see Bokolishvili, I. B.; et al., (92i:65009) 

Rappaz, Jacques see Crouzeix, Michel, 92d:65003 

Ratiner, N. M. see Zvyagin, V. G., 92g:47091 

Rubanovskii, V.N. (with Sergeev, V.S.) Stationary solutions of a nonlinear diffusion 
problem. (Russian) 924:35150 

Ruf, Bernhard Singularity theory and the bifurcation structure of a nonlinear elliptic 
equation. 92f:58194 

Schmitt, Klaus (with Wang, Zhi Qiang) On bifurcation from infinity for potential 
operators. 92i:58038 

Sergeev, V.S. see Rubanovskii, V. N., 92d:35150 

Shang, Xin Chun Tensile instability of nonlinear spherical membrane with large deforma- 
tion. (Chinese. English summary) 92m:73085 

Shil/nikov, L. P. see Eleonskii, V. M.; et al., 92e:35145 

Shkadov, V. Ya. see Demékhin, E. A.; et al., 92k:58249 

Smoller, Joel A. (with Wasserman, Arthur G.) Symmetry-breaking bifurcations. 92k:58272 

Song, Kai Tai see Zhou, Li; et al., 92m:35137 

Tebaldi, C. Fixed points behaviour in truncated two-dimensional Navier-Stokes equations. 
(see 92b:58003) 

Terman, David see Chow, Shui-Nee; et al., 92g:58093 

Tertikas, Achilles Global bifurcation of positive solutions in R". (see 92m:35003) 

— see also Brown, K. J., 92e:92018 

Tokarev, G. Yu. see Demékhin, E. A.; et al., 92k:58249 

Trifonov, Yu. Ya. Two-periodical and quasi-periodical wave solutions of the Kuramoto- 
Sivashinsky equation and their stability and bifurcations. 92m:35223 

Tuckerman, Laurette S. (with Barkley, Dwight) Bifurcation analysis of the Eckhaus 
instability. 92g:76046 

Wake, G. C. (with Burnell, J. G.; Graham-Eagle, J. G.; Gray, Brian F.) A new scaling of a 
problem in combustion theory. 92b:80014 

Wang, Zhi Qiang see Schmitt, Klaus, 92i:58038 

Wasserman, Arthur G. see Smoller, Joel A., 92k:58272 

Winters, K. H. Bifurcation and stability: a computational approach. 92a:65339 

Yadava, S. L. see Adimurthi, 92¢:35045 

Zhou, Li (with Song, Kai Tai) The analysis of Hopf bifurcation for the prey-predator 
system with diffusion and delay. 92m:35137 

Zvyagin, V.G. (with Ratiner, N. M.) Oriented degree of Fredholm mappings of nonnega- 
tive index and its application to a problem on the global bifurcation of solutions. (Rus- 
sian) 92g:47091 

— The oriented degree of a class of perturbations of Fredholm mappings and the bifurcation 
of the solutions of a nonlinear boundary value problem with noncompact perturbations. 
(Russian) 92m:58020 


35B35 Stability, boundedness 


Ames, Karen A. (with Isakov, Victor) An explicit stability estimate for an ill-posed Cauchy 
problem for the wave equation. 92d:35043 

Brauner, Claude-Michel (with Noor Ebad, S.; Schmidt-Lainé, Claudine) Nonlinear stability 
analysis of singular travelling waves in combustion—a one-phase problem. 92k:35031 

Da Prato, Giuseppe (with Lunardi, Alessandra) Floquet exponents and stabilizability in 
time-periodic parabolic systems. 92¢:35032 

Denisov, V. N. Stabilization of the means of the solution of the Cauchy problem for 
hyperbolic equations. (Russian) 92g:35029 

Ikeda, Hideo (with Mimura, Masayasu) Stability analysis of stationary solutions of bistable 
reaction-variable diffusion systems. 92k:35032 

Isakov, Victor see Ames, Karen A., 92d:35043 

Kirane, Mokhtar Global bounds for solutions for a strongly coupled system of reaction- 
diffusion equations. 92a:35019 

Kuiper, Hendrik J. On boundedness and stability of solutions to quasilinear parabolic 
equations with nonlocal nonlinearities. 92j:35014 

Liang, Xi Ting The boundedness for generalized solutions of quasilinear elliptic equations. 
92i:35018 

Logunov, S. L. Stability estimates for solutions of conditionally well-posed problems on a set 
of functions satisfying the Hélder condition. (Russian) 92g:35030 

— A stability estimate in the Skorokhod metric for a dynamic problem of seismic prospect- 
ing. (Russian) 92g:35031 

Lunardi, Alessandra see Da Prato, Giuseppe, 92¢:35032 

Malovichko, V. A. Solvability of boundary value problems for systems of fourth-order 
differential equations. (Russian) 92m:35028 

Mimura, Masayasu see Ikeda, Hideo, 92k:35032 

Mukminov, F. Kh. Uniform stabilization of solutions of the first mixed problem for a 
parabolic equation. (Russian) 92a:35020 

Noor Ebad, S. see Brauner, Claude-Michel; et al., 92k:35031 

Schmidt-Lainé, Claudine see Brauner, Claude-Michel; et al., 92k:35031 





35B35 


Serazetdinov, T. K. The definite sign conditions for functionals and partial differential 
equations solution stability. (see 92i:34003) 

Swinton, Jonathan The stability of homoclinic pulses: a generalisation of Evans’s method. 
92m:35029 

Tertikas, Achilles Stability and instability of positive solutions of semipositone problems. 
92g:35032 

Wen, Guo Chun (with Yang, Guang Wu; Xu, Ke Ming) Stability of solutions to the Poincaré 
problem for a system of nonlinear elliptic second-order equations. (Chinese. English 
summary) 92f:35030 

Xu, Ke Ming see Wen, Guo Chun; et al., 92f:35030 

Yang, Guang Wu see Wen, Guo Chun; et al., 92£:35030 

Zhestkov, S. V. Stability of the Cauchy problem for a matrix system of partial differential 
equations of F. I. Fedorov type. (Russian. Ukrainian summary) 92g:35033 


Items with secondary classifications in 35B35 

Abarbanel, Saul (with Gottlieb, David) Spurious frequencies as a result of numerical 
boundary treatments. (see 92a:00036) 

Aiki, Toyohike (with Shinoda, Junichi; Kenmochi, Nobuyuki) Periodic stability for some 
degenerate parabolic equations with nonlinear flux conditions. 92m:35144 

Alessandrini, Giovanni Determining conductivity by boundary measurements, the stability 
issue. (see 92i1:00020) 

Alexander, James C. (with Gardner, Robert Alan; Jones, Christopher K.R.T.) A 
topological invariant arising in the stability analysis of travelling waves. 92d:58028 

Ashino, Ryuichi On Nagumo’s H°-stability in singular perturbations. 92m:35019 

Bairamov, F. D. see Sirazetdinov, T. K., 924:35317 

Bardos, Claude Practical applications of the notions of propagation of singularities. 
92:35025 

Bennett, Allan D. Continuous dependence on modeling in the Cauchy problem for nonlinear 
elliptic equations. 92j:35047 

Bertsch, Michiel (with Klaver,M.H. A.) On positive solutions of Au + Af(u) = 0 with f 
discontinuous. 92h:35075 

— (with Peletier, L. A.; Verduyn Lunel, S. M.) The effect of temperature dependent viscosity 
on shear flow of incompressible fluids. 92a:76036 

Blokhin, A. M. (with Druzhinin, I. Yu.) Formulation of problems on the stability of 
discontinuities in magnetohydrodynamics. (Russian) 92f:35120 

Bonilla, Luis L. (with Higuera, Francisco J.; Vega, J. M.) Stability of stationary solutions of 
extended reaction-diffusion-convection equations on a finite segment. 92e:35091 

Borsch-Supan, Wolfgang (with Fiebig-Wittmaack, Melitta) Stability of stationary solutions 
of a one-dimensional parabolic equation with homogeneous Neumann boundary 
conditions. 92k:35151 

Cantrell, Robert Stephen (with Cosner, Chris) Diffusive logistic equations with indefinite 
weights: population models in disrupted environments. II. 92h:92015 

Chen, Ning (with Lu, Zheng Yi) Global stability of periodic solutions to reaction-diffusion 
systems. (Chinese) 92i:35007 

Chen, Shi Ming Uniqueness and stability of solutions to the Cauchy problem for a class of 
higher-dimensional semilinear heat-conduction equations. (Chinese. English summary) 

Chikhi, Jamel Réflexion d’ondes striées pour un systéme 4 deux vitesses. (English summary) 
[Reflection of striated waves for a two-speed system] 92e:35109 

Cosner, Chris see Cantrell, Robert Stephen, 92h:92015 

Denisov, V. N. On the stabilization of the solution of the Cauchy problem for a second-order 
parabolic equation. (Russian) 924:35124 

— Stabilization of the solution of the Cauchy problem for the iterated heat equation. 
(Russian) 92k:35123 

— Stabilization of solutions of parabolic equations, and the central limit theorem. (Russian) 
92d:35122 

DiPerna, R. J. (with Lions, Pierre-Louis) Global weak solutions of kinetic equations. 
92a:35128 

Druzhinin, I. Yu. see Blokhin, A. M., 92£:35120 

Fan, Guangwei (with Leung, Anthony W.) Existence and stability of periodic solutions for 
competing species diffusion systems with Dirichlet boundary conditions. 92b:35018 

Fiebig-Wittmaack, Melitta see Borsch-Supan, Wolfgang, 92k:35151 

Freistihler, Heinrich Instability of vanishing viscosity approximation to hyperbolic systems 
of conservation laws with rotational invariance. 924:35187 

Friedman, Avner Blow-up of solutions of nonlinear heat and wave equations. (see 
92b:00035) 

Gafiichuk, V. V. (with Lubashevskii, I. A.; Osipov, V. V.) * J[uHamuxa dopmuposanna 
MOBEPXHOCTHBIX CTPyKTyp B CHCTeMax Co cBO6oZHOHK rpannuen. (Russian) [Dynamics of the 
formation of surface structures in systems with a free boundary] 92b:35176 

Gajewski, Herbert (with Gréger, Konrad) Semiconductor equations for variable mobilities 
based on Boltzmann statistics or Fermi-Dirac statistics. 92d:35281 

Gardner, Robert Alan Stability and Hopf bifurcation of steady state solutions of a singularly 
perturbed reaction-diffusion system. 92k:35143 

— see also Alexander, James C.; et al., 92d:58028 

Goncalves Ribeiro, J. M. Instability of symmetric stationary states for some nonlinear 
Schrédinger equations with an external magnetic field. (French summary) 92i:35113 

Gottlieb, David see Abarbanel, Saul, (92a:00036) 

Grillakis, Manoussos G. (with Shatah, Jalal; Strauss, Walter Alexander) Stability theory of 
solitary waves in the presence of symmetry. II. 92a:35135 

Groger, Konrad see Gajewski, Herbert, 92d:35281 

Han, Xiao You see Zhang, Wei Guo; et al., 92i:35112 

(Hanna, Sarwat N.) see Newton, Paul K. 

Healey, Timothy J. Stability and bifurcation of rotating nonlinearly elastic loops. 92f:73031 

Herrero, Miguel A. (with Velazquez, Juan J. L.) Stability analysis of a closed ther- 
mosyphon. 92i:76091 

Higuera, Francisco J. see Bonilla, Luis L.; et al., 92e:35091 

Hu, Min De The stability of solutions for elliptic systems of several complex equations of 
first order. (see 92a:00039) 

Hu, Yue Ming see Liao, Xiao Xin; et al., 92h:35096 

Huang, Si Xun Local stability of logistic age-dependent population growth. (Chinese. 
English summary) 92b:92036 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 552 


IVichev, A. T. (with Seménov, A. Yu.) * Stability of subcritical solitary wave solutions to 
fifth order evolution equation. 92j:35162 

— (with Seménov, A. Yu.) Orbital stability of boundary states in the theory of long waves 
with additional pressure. (Russian) 92k:35227 

IVin, Viadimir Aleksandrovich (with Zhilyaev, A. I.; Tikhomirov, V. V.) On the solution 
of the eikonal equation in a vertically nonhomogeneous medium. (Russian. English 
summary) 92h:35043 

Jones, Christopher K. R. T. see Alexander, James C.; et al., 92d:58028 

Kawashima, Shuichi Existence and stability of stationary solutions to the discrete Boltz- 
mann equation. 92k:35279 

Kedyk, T. V. (with Obolenskii, A. Yu.) On the stability with respect to two measures of 
hybrid quasimonotone extensions. (Russian. English summary) 92m:34184 

Kenmochi, Nobuyuki Asymptotic stability for nonlinear degenerate parabolic equations with 
Neumann boundary conditions. 924:35164 

— see also Aiki, Toyohiko; et al., 92m:35144 

Kirane, Mokhtar On stabilization of solutions of the system of parabolic differential 
equations describing the kinetics of an autocatalytic reversible chemical reaction. 
92e:35083 

Klaver, M. H. A. see Bertsch, Michiel, 92h:35075 

Kolesov, A. Yu. (with Kolesov, Yu. S.) Bifurcation of self-induced oscillations of a 
singularly perturbed wave equation. (Russian) 92¢:35031 

— The existence and stability of relaxation traveling waves in the nonlinear telegraph 
equation with small diffusion. (Russian) 

Kolesov, Yu. S. see Kolesov, A. Yu., 92e:35031 

Komornik, Vilmos (with Russell, David L.; Zhang, Bing-Yu) Stabilisation de l’équation de 
Korteweg-de Vries. (English summary) [Stabilization of the Korteweg-de Vries equation] 
92b:35134 

Kostin, I. N. A regular approach to a problem on the attractors of singularly perturbed 
equations. (Russian. English summary) 92i:34083 

Lavkin, A.G. The direct Lyapunov method and the stability of some solutions of the 
nonlinear Klein-Gordon equation. (Russian) 

Leung, Anthony W. see Fan, Guangwei, 92b:35018 

Lezhenina, I. F. (with Sobolevskii, P. E.) Estimation of solutions of a parabolic equation 
with a singular estimate for the coefficient. (Russian) 92j:35081 

Liao, Xiao Xin (with Hu, Yue Ming; Xiao, Hui Min) The stability of a class of large scale 
systems described by partial differential equations. (Chinese summary) 92h:35096 

Lions, Pierre-Louis see DiPerna, R. J., 92a:35128 

Liu, Yi? A “cooling” theorem. (Chinese. English summary) 92i:35071 

Lépez-Goémez, Julidn (with Marquez, Viviana; Wolanski, Noemi) Blow up results and 
localization of blow up points for the heat equation with a nonlinear boundary condition. 
92j:35098 

La, Zheng Yi see Chen, Ning; et al., 92i:35007 

Lubashevskii, I. A. see Gafiichuk, V. V.; et al., 92b:35176 

Lui, Roger Existence and stability of travelling wave solutions for a simplified bistable 
evolutionary ecology model. 92i:92015 

Lunardi, Alessandra Stabilizability of time-periodic parabolic equations. 92i:93083 

Makin, R.S. Boundedness of the domain of attraction of a stationary solution of a 
nonlinear diffusion system of the equations of the dynamics of a controllable reactor. 
(Russian) 92j:35090 

Maksimov, V.I. On the stable solution of inverse problems for nonlinear distributed 
systems. II. (Russian) 92k:49077 

Maremonti, Paolo Existence and stability of time-periodic solutions to the Navier-Stokes 
equations in the whole space. 924:35227 

Marquez, Viviana see Lépez-Gémez, Julian; et al., 92j:35098 

Newton, Paul K. Letter: “Stability of periodic plane wave solutions of wave equations” [J. 
Comput. Appl. Math. 34 (1991), no. 1, 41-46; MR 91k:35024] by S. N. Hanna. 

Nishiura, Yasumasa Singular limit approach to stability and bifurcation for bistable 
reaction diffusion systems. 92h:35107 

Obolenskii, A. Yu. see Kedyk, T. V., 92m:34184 

Ogawa, Takayoshi (with Tsutsumi, Yoshio) Blow-up of solutions for the nonlinear 
Schrédinger equation with quartic potential and periodic boundary condition. 92e:35156 

Osipov, V. V. see Gafiichuk, V. V.; et al., 92b:35176 

Parkes, E. J. The modulational instability of the nonlinear Klein-Gordon equation. 
92b:35098 

Peletier, L. A. see Bertsch, Michiel; et al., 92a:76036 

Poorkarimi, Hushang see Shah, Swarupchand M.,; et al., 92a:35157 

Pucci, Patrizia (with Serrin, James) Global asymptotic stability for strongly nonlinear 
second order systems. (see 92m:35003) 

Pukhnachéva, T. P. see Romanov, V. G., 92a:35162 

Quittner, Pavol A remark on the stability of stationary solutions of parabolic variational 
inequalities. 92f:47069 

Ramm, A. G. Stability of the solution to inverse scattering problem with exact data. 

Ricci, Riccarde (with Xie, Wei Qing) On the stability of some solutions of the Stefan 
problem. 92i:80006 

Romanov, V.G. (with Pukhnachéva, T. P.) Determination of the coefficients of a system of 
equations of electrodynamics in a class of functions that are analytic with respect to some 
of the variables. (Russian) 92a:35162 

Russell, David L. see Komornik, Vilmos; et al., 92b:35134 

Seménov, A. Yu. see IVichev, A. T., 92j:35162 and 92k:35227 

Serrin, James see Pucci, Patrizia, (92m:35003) 

Shah, Swarupchand M. (with Poorkarimi, Hushang; Wiener, Joseph) Bounded solutions of 
retarded nonlinear hyperbolic equations. 92a:35157 

Shatah, Jalal see Grillakis, Manoussos G.; et al., 92a:35135 

Shinoda, Junichi see Aiki, Toyohiko; et al., 92m:35144 

Sirazetdinov, T. K. (with Bairamov, F. D.) Stability and an estimate for the transient in 
systems with distributed parameters. (Russian. English summary) 924:35317 

Skiba, Yu. N. Lyapunov instability of the Rossby-Haurwitz waves and dipole modons. 
92m:76039 

Sobolevskii, P. E. see Lezhenina, I. F., 92j:35081 

Souganidis, Panagiotis E. (with Strauss, Walter Alexander) Instability of a class of 











553 1992 


dispersive solitary waves. 92a:35143 

Strauss, Walter Alexander see Grillakis, Manoussos G.; et al., 92a:35135 and Souganidis, 
Panagiotis E., 92a:35143 

Sumin, V. 1. Sufficient stability conditions for the existence of global solutions of control- 
lable boundary value problems. (Russian) 92¢:49009 

Szigeti, F. On the stability problems of first order partial differential equations. 92h:35040 

Tedeev, A. F. Estimates for the rate of stabilization as t — 00 of the solution of the second 
mixed problem for a second-order quasilinear parabolic equation. (Russian) 92m:35142 

— Two-sided estimates for the rate of stabilization of the solution of the second mixed 
problem for a second-order quasilinear parabolic equation. (Russian. English summary) 
92e:35094 

— Stabilization of the solution of the third mixed problem for second-order quasilinear 
parabolic equations in a noncylindrical domain. (Russian) 92j:35100 

Temam, Roger Stability analysis of the nonlinear Galerkin method. 92b:65073 

Tikhomirov, V. V. see Il'in, Viadimir Aleksandrovich; et al., 92h:35043 

Trifonov, Yu. Ya. Two-periodical and quasi-periodical wave solutions of the Kuramoto- 
Sivashinsky equation and their stability and bifurcations. 92m:35223 

Tsutsumi, Yoshio see Ogawa, Takayoshi, 92¢:35156 

Vega, J. M. see Bonilla, Luis L.; et al., 92¢:35091 

Velazquez, Juan J.L. see Herrero, Miguel A., 92i:76091 

Verduyn Lunel, S. M. see Bertsch, Michiel; et al., 92a:76036 

Wan, Yieh Hei On Vlasov-Poisson equation. 924:35236 

Wiener, Joseph see Shah, Swarupchand M.,; et al., 92a:35157 

Wolanski, Noemi see Lépez-Gémez, Julian; et al., 92j:35098 

Xiao, Hui Min see Liao, Xiao Xin; et al., 92h:35096 

Xie, Wei Qing see Ricci, Riccardo, 92i:80006 

Zaitsev, Yu. M. Stability in the large and in the totality of systems with distributed 
parameters. (Russian) 92k:35037 

Zhang, Bing-Yu see Komornik, Vilmos; et al., 92b:35134 

Zhang, Wei Guo (with Han, Xiao You) The Cauchy problem for the generalized Benjamin- 
Bona-Mahony equation with dissipative terms. (Chinese. English summary) 92i:35112 

Zhilyaev, A. 1. see IVin, Viadimir Aleksandrovich; et al., 92h:35043 


35B37 PDE in connection with control problems [see also 49J20, 
49K20, 93C20] 


Ain Seba, Bedr’eddine see El Badia, Abdellatif, 92m:35030 

El Badia, Abdellatif (with Ain Seba, Bedr’eddine) Contrélabilité exacte de l’équation de 
Burgers. (English summary) [Exact controllability of Burgers’ equation] 92m:35030 

Fabre, Caroline (with Puel, Jean-Pierre) Wave equations with singular right-hand side: 
application to exact controllability. 92m:35031 

Glowinski, Roland see Li, Chin Hsien, 92h:35023 

Gonzalez, Roberto L. V. (with Tidball, Mabel M.) Sur l’ordre de convergence des solutions 
discrétisées en temps et en espace de l’équation de Hamilton-Jacobi. (English summary) 
[On the rates of convergence of fully discrete solutions of Hamilton-Jacobi equations] 
92k:35033 

Grisvard, Pierre Exact controllability of the wave equation in presence of corners and 
cracks. (see 92m:47001) 

Jo6, Istvin The control of a string in two interior points. 92k:35034 

Komornik, Vilmos (with Zuazua, Enrike) A direct method for the boundary stabilization of 
the wave equation. 92c¢:35020 

Li, Chin Hsien (with Glowinski, Roland) On the exact Neumann boundary control of wave 
equations. 92h:35023 

Murat, Francois Homogenization of renormalized solutions of elliptic equations. (French 
summary) 92m:35032 

Nambu, Takao On fractional powers of a class of elliptic differential operators with 
feedback boundary conditions. 92b:35028 

Pedersen, Michael Regularity of pointwise boundary control sy 

Puel, Jean-Pierre see Fabre, Caroline, 92m:35031 

Sprekels, Jiirgen (with Zheng, Song Mu) Optimal control problems for a thermodynami- 
cally consistent model of phase-field type for phase transitions. 92m:35033 

Tidball, Mabel M. see Gonzalez, Roberto L. V., 92k:35033 

Triggiani, Roberto Regularity of some structurally damped problems with point control and 
with boundary control. 92k:35036 

You, Yun Cheng Energy decay and exact controllability for the Petrovsky equation in a 
bounded domain. 92b:35029 

Zaitsev, Yu. M. Stability in the large and in the totality of systems with distributed 
parameters. (Russian) 92k:35037 

Zheng, Song Mu see Sprekels, Jiirgen, 92m:35033 

Zuazua, Enrike Uniform stabilization of the wave equation by nonlinear boundary 
feedback. 92¢:35021 

— see also Komornik, Vilmos, 92c:35020 


Items with secondary classifications in 35B37 


Acquistapace, P. (with Flandoli, Franco; Terreni, B.) Initial-boundary value problems and 
optimal control for nonautonomous parabolic systems. 92b:49038 

Airapetyan, R.G. (with Kantardzhyan, L. S.) On the exact control of a mixed problem for 
an equation of the vibrations of a string. (Russian. English and Armenian summaries) 
92m:35150 

Anita, Sebastian? Optimal impulse-control of population dynamics with diffusion. (see 
92m:49004) 

Aubin, Jean-Pierre (with Frankowska, Halina) Systemes hyperboliques d’inclusions 
aux dérivées partielles. (English summary) [Hyperbolic systems of partial differential 
inclusions] 92a:35171 

Avdonin, S. A. Exact and approximate controllability of evolution systems. (Russian) 
92a:93017 

— (with Belishev, M. I.; Ivanov, S. A.) Boundary control and an inverse matrix problem for 
the equation uy, — ux, + V(x)u=0. (Russian) 924:35293 

Barbu, Viorel The approximate solvability of the inverse one phase Stefan problem. 
92g:35239 





. 92k:35035 


35B Qualitative properties of solutions 


35B37 


— Null controllability of first order quasilinear equations. 92g:93012 

— The dynamic programming equation for the time-optimal control problem in infinite 
dimensions. 92a:49049 

Bardos, Claude Practical applications of the notions of propagation of singularities. 
92:35025 

Belishev, M.I. (with Sheronova, T. L.) Methods of boundary control theory in a non- 
stationary inverse problem for an inhomogeneous string. (Russian. English summary) 
92a:35160 

— see also Avdonin, S. A.; et al., 92d:35293 

Bensoussan, Alain (with Frehse, Jens) Sur les équations de Bellman du contrdéle ergodique 
dans R”. (English summary) [On the Bellman equations of ergodic control in R"] 
92a:93116 

Blaquieére, A. Controllability of a Fokker-Planck equation, the Schrédinger system, and a 
related stochastic optimal control. 92k:93021 

Bonnans, Joseph Frédéric (with Casas Renteria, Eduardo) Un principe de Pontryagine 
pour le contréle des systémes semilinéaires elliptiques. (English summary) [A Pontryagin 
principle for the control of semilinear elliptic systems] 92d:49035 

Bradley, M. E. (with Lasiecka, Irena) Local exponential stabilization for a non-linearly 
perturbed von Karman plate. 92m:73091 

Byrnes, Christopher I. Some partial differential equations arising in nonlinear control and 
optimization. 92j:93061 

Cannarsa, Piermarco (with Da Prato, Giuseppe) The vanishing viscosity method in infinite 
dimensions. (Italian summary) 92i:49046 

— (with Da Prato, Giuseppe) Second-order Hamilton-Jacobi equations in infinite 
dimensions. 92b:49052 

Cannon, John R. (with Lin, Yan Ping; Wang, Shingmin) Determination of a control 
parameter in a parabolic partial differential equation. 92e:35171 

Casas Renteria, Eduardo (with Fernandez, Luis Alberto) Optimal control of quasilinear 
elliptic equations. (Spanish) 92k:49042 

— see also Bonnans, Joseph Frédéric, 924:49035 

Cioranescu, Doina (with Donato, Patrizia; Zuazua, Enrike) Contrdélabilité exacte frontiére 
de l’équation des ondes dans des domaines avec des petits trous. [Exact boundary 
controllability for the wave equation in domains with small holes] 92e:93005 

Curtain, Ruth F. Robustness of distributed parameter systems. 92f:93108 

Da Prato, Giuseppe see Cannarsa, Piermarco, 92b:49052 and 92i:49046 

Donato, Patrizia see Cioranescu, Doina; et al., 92e:93005 

Fabre, Caroline Quelques résultats de contrélabilité exacte de l’équation de Schrodinger. 
Application a l’équation des plaques vibrantes. (English summary) [Exact controllability 
of the Schrédinger equation. Application to the vibrating-plate equation] 92h:93022 

Fernandez, Luis Alberto see Casas Renteria, Eduardo, 92k:49042 

Flandoli, Franco see Acquistapace, P.; et al., 92b:49038 

Frankowska, Halina see Aubin, Jean-Pierre, 92a:35171 

Frehse, Jens see Bensoussan, Alain, 92a:93116 

Gunzburger, Max D. (with Hou, LiSheng; Svobodny, Thomas P.) Boundary velocity control 
of incompressible flow with an application to viscous drag reduction. 92k:49043 

Haraux, Alain On a completion problem in the theory of distributed control of wave 
equations. 92k:93022 

Hou, LiSheng see Gunzburger, Max D.; et al., 92k:49043 

Ivanov, S. A. see Avdonin, S. A.; et al., 924:35293 

Kamyad, A. V. (with Rubio, J. E.; Wilson, D. A.) Optimal control of the multidimensional 
diffusion equation. 92d:49005 

Kantardzhyan, L. S. see Airapetyan, R. G., 92m:35150 

Kostousova, E. K. On the weak observability property for the one-dimensional wave 
equation with a point nonstationary observation operator. (Russian) 92k:93031 

Kukhta, K. Ya. Solution of a nonlinear nonstationary conti discrete b d 
problem with discrete perturbations in control theory. (Russian. English pero 

Lagnese, John E. Local controllability of dynamic von Karman plates. 92f:93018 

Lasiecka, Irena (with Triggiani, Roberto) Exact controllability of the Euler-Bernoulli 
equation with boundary controls for displacement and moment. 92h:35058 

— (with Triggiani, Roberto) Exact controllability of semilinear abstract systems with 
application to waves and plates boundary control problems. 92a:93021 

— (with Triggiani, Roberto) Exact controllability and uniform stabilization of Euler- 
Bernoulli equations with boundary control only in Aw|s. (Italian summary) 92i:93013 

— (with Triggiani, Roberto) Exact controllability and uniform stabilization of Kirchoff 
[Kirchhoff] plates with boundary control only on Aw|s; and homogeneous boundary 
displacement. 92i:93014 

— see also Bradley, M. E., 92m:73091 

Lin, Yan Ping see Cannon, John R.; et al., 92e:35171 

Lions, Jacques-Louis Exact controllability for distributed systems. Some trends and some 
problems. 92m:93007 

Lubyshev, F. V. Approximation and regularization of optimal control problems for a 
nonselfadjoint elliptic equation with variable coefficients. (Russian) 92b:49055 

Lar’e, K. A. The extension of optimisation problems containing controls in the coefficients. 
922:49036 

Makhmudov, E. N. A sufficient condition for optimality for convex differential inclusions 
with distributed parameters, and duality. (Russian) 92j:49021 

Neittaanmaki, Pekka (with Tiba, Dan) Optimal control for state constrained two-phase 
Stefan problems. 924:49039 

Okhezin, S. P. A mathematical model of the Stefan problem. (Russian) 92f:35148 

Papageorgiou, Nikolaos S. On the well-posedness and relaxability of nonlinear distributed 
parameter systems. (see 92d:00037) 

— An existence theorem for a class of nonlinear elliptic optimal control problems. 92j:49002 

Plotnikov, A. V. Compactness of the attainability set of a controllable differential inclusion 
in partial derivatives. (Russian) 92b:49013 

Popa, Catalin Trotter product formulae for Hamilton-Jacobi equations in infinite 
dimensions. 92k:47136 

Raitums, Uldis On the continuous dependence of solutions of semilinear elliptic equations 
upon parameters. (Russian and Latvian summaries) (see 92d:00013) 

Rivero Mendoza, Jestis see Sira-Ramirez, Hebertt J., 92b:93039 

Rubio, J. E. see Kamyad, A. V.; et al., 924:49005 








35B37 


Schmidt, E. J. P. Georg On the modelling and exact controllability of networks of vibrating 
strings. 92m:73094 

Sheronova, T. L. see Belishev, M. I., 92a:35160 

Shreve, Steven E. see Soner, Halil Mete, 92b:35179 

Sira-Ramirez, Hebertt J. (with Rivero Mendoza, Jesis) Sliding mode control of nonlinear 
first-order distributed parameter systems. 92b:93039 

Soner, Halil Mete (with Shreve, Steven E.) A free boundary problem related to singular 
stochastic control: the parabolic case. 92b:35179 

Sritharan, S.S. An optimal control problem in exterior hydrodynamics. 92e:76018 

Svobodny, Thomas P. see Gunzburger, Max D.; et al., 92k:49043 

Szigeti, F. see Vera R., Carmen Elena, 92g:49020 

Tagiev, R. K. An estimate for the accuracy of difference approximations and the regulariza- 
tion of a problem of the optimal control of the coefficients of an elliptic equation. (Rus- 
sian) 92c:65114 

Taylor, Stephen W. Gevrey solutions for equations of Euler-Bernoulli type. 92k:35276 

Terreni, B. see Acquistapace, P.; et al., 92b:49038 

Tiba, Dan see Neittaanmaki, Pekka, 92d:49039 

Triggiani, Roberto see Lasiecka, Irena, 92a:93021; 92h:35058; 92i:93013 and 92i:93014 

Vera R., Carmen Elena (with Szigeti, F.) Time optimality of linear systems described by 
partial differential equations. 92g:49020 

Wang, Shingmin see Cannon, John R.; et al., 92e:35171 

Wilson, D. A. see Kamyad, A. V.; et al., 92d:49005 

Yagubov, G. Ya. A difference method for solving a problem of the optimal control of the 
coefficient of a quasilinear Schrédinger equation. (Russian) 92¢:65115 

Yong, Jiong Min (with Zheng, Song Mu) Feedback stabilization and optimal control for the 
Cahn-Hilliard equation. 92h:93077 

You, Yun Cheng Boundary stabilization of two-dimensional Petrovsky equation: vibrating 
plate. 92b:93052 

Zheng, Song Mu see Yong, Jiong Min, 92h:93077 

Zuazua, Enrike Exact boundary controllability for the semilinear wave equation. (French 
summary) 92k:93029 

— see also Cioranescu, Doina; et al., 92e:93005 


35B40 Asymptotic behavior of solutions 


Abergel, Frédéric Dimension of invariant sets for Lipschitz continuous 
92m:35034 

Akulov, V. F. (with Shishkov, A. E.) Asymptotic properties of solutions of mixed problems 
for quasilinear parabolic equations in unbounded domains. (Russian) 92j:35015 

Babin, A. V. (with Vishik, M. I.) Uniform finite-parameter asymptotics of solutions of 
nonlinear evolution equations. 92j:35016 

— Asymptotic behavior as |x| — oo of strongly perturbed Poiseuille flows. (Russian) 
92b:35030 

Bellomo, N. (with Lachowicz, Mirosiaw) Some mathematical results on the asymptotic 
behaviour of the solutions to the initial value problem for the Enskog equation. 
92a:35021 

Borovikov, V. A. Asymptotics, as f — oo, of the Green function for the equation of internal 
waves. (Russian) 

Bressan, A., Jr. Blowup asymptotics for the reactive-Euler gas model. 92j:35017 

Breuer, Shlomo (with Roseman, Joseph J.) Spatial decay theorems for nonlinear parabolic 
equations in semi-infinite cylinders. 92d:35044 

Chabrowski, J. On pairs of decaying positive solutions of semilinear elliptic equations in 
unbounded domains. (Italian summary) 924:35045 

Chow, Pao Liu Stochastic analysis and quasilinear parabolic equations. 92a:35022 

Dombrovskii, V. A. An asymptotic method for studying the solutions of distributed systems 
with slowly changing parameters. (Russian) 

Escobedo, Miguel (with Zuazua, Enrike) Comportement asymptotique des solutions 
d’une équation de convection-diffusion. (English summary) [Asymptotic behavior of the 
solutions of a convection-diffusion equation] 92d:35046 

Fila, Marek (with Quittner, Pavol) The blow-up rate for the heat equation with a nonlinear 
boundary condition. 92a:35023 

Finzi Vita, Stefano (with Tchou, Nicoletta Anna) Correctors results for relaxed Dirichlet 
problems. 92k:35038 

Foias, Ciprian The approximation by algebraic sets of the attractors of dissipative ordinary 
or partial differential equations. 92m:35035 

Fraguela Collar, Andrés The limiting amplitude principle for some abstract hyperbolic 
equations in Hilbert spaces. (Spanish. English summary) 92a:35024 

Galaktionov, V. A. see Vazquez, Juan Luis, 92a:35027 

Ghidaglia, Jean-Michel (with Marzocchi, A.) Exact decay estimates for solutions to 
semilinear parabolic equations. 924:35047 

— (with Marzocchi, A.) Longtime behaviour of strongly damped wave equations, global 
attractors and their dimension. 92¢:35033 

Guan, Ping On asymptotic behavior of time-dependent solutions to a kind of semiconduc- 
tor equations. 92a:35025 

Haraux, Alain (with Kenmochi, Nobuyuki) Asymptotic behaviour of solutions to some 
degenerate parabolic equations. 92g:35034 

Jung, Hartmut * Zur Zeitasymptotik von Wellenausbreitungs- und Warmeleitungsprozessen 
in inhomogenen Medien. (German) [On the time asymptotics of wave propagation and 
heat conduction processes in inhomogeneous media] 92b:35031 

Kamynin, V. L. Asymptotic behavior of solutions of the Cauchy problem for parabolic 
equations of nondivergence type. (Russian) 92i:35019 

Kenmochi, Nobuyuki see Haraux, Alain, 92g:35034 

Kikyo, Yoke M.G. Asymptotic behavior of semilinear partial differential equations of 
parabolic type. 92e:35034 

Lachowicz, Mirostaw see Bellomo, N., 92a:35021 

Lagnese, John E. Uniform asymptotic energy estimates for solutions of the equations of 
dynamic plane elasticity with nonlinear dissipation at the boundary. 924:35048 

Levashkin, S. P. Asymptotic properties for generalized solutions of the Dirichlet problem 
for a polyharmonic equation in nonsmooth domains. (Russian) 





ies 





PARTIAL DIFFERENTIAL EQUATIONS 


1992 554 


Maier, Stanislaus * Asymptotic behaviour of spherical symmetric solutions of semilinear 

elliptic equations. 92h:35024 
A. see Ghidaglia, Jean-Michel, 92d:35047 and 92e:35033 

Melnik, T. A. Averaging of elliptic equations that describe processes in strongly inhomo- 
geneous thin punctured domains with rapidly changing thickness. (Russian. English sum- 
mary) 92m:35036 

Motai, Takahiro Asymptotic behavior of solutions to the Klein-Gordon equation with a 
nonlinear dissipative term. 92d:35049 

Naumkin, P. I. (with Shishmarév, I. A.) On the asymptotic behavior for large time values of 
solutions of a system of equations of surface waves. (Russian) 92f:35031 

— (with Shishmarév, I. A.) Asymptotic behaviour of solutions of dissipative nonlinear 
evolution equations for large time. 92k:35039 

Qi, Yuan-Wei The asymptotics of blow-up solutions to a degenerate parabolic equation. 
92£:35032 

Qian, Bao Kang The asymptotic behavior of solutions to a class of nonlinear parabolic 
equations. (Chinese. English summary) 

— The asymptotic behavior of solutions to a class of quasilinear parabolic equations. 
(Chinese. English summary) 

Quittner, Pavol see Fila, Marek, 92a:35023 

Ringhofer, Christian An asymptotic analysis of the quantum Liouville equation. 92e:35035 

Roseman, Joseph J. see Breuer, Shlomo, 92d:35044 

Shen, Wei Xi Threshold behavior for second initial-boundary value problem of F-N 
equations. 92h:35025 

Shishkov, A. E. see Akulov, V. F., 92j:35015 

Shishmarév, I. A. see Naumkin, P. I., 92f:35031 and 92k:35039 

Sjéstrand, Johannes Asymptotique des résonances pour des obstacles. [Asymptotics of 
resonances for obstacles] 92¢:35036 

Soldatov, A. P. Asymptotic behavior of solutions of boundary value problems for elliptic 
systems near corner points. (Russian) 92¢:35037 

Stankovi¢é, Bogoljub S-asymptotic of solutions of the elliptic partial differential equation. 
(Serbo-Croatian summary) 92a:35026 

Tchou, Nicoletta Anna see Finzi Vita, Stefano, 92k:35038 

Vazquez, Juan Luis (with Galaktionov, V. A.) Asymptotic behavior of solutions of a 
nonlinear diffusion-absorption equation with a critical exponent. (Russian) 92a:35027 

Vishik, M.I. see Babin, A. V., 92j:35016 

Vishnevskii, M. P. Asymptotic behavior of solutions of mixed problems for quasilinear 
parabolic equations. (Russian) 92h:35026 

Zuazua, Enrike see Escobedo, Miguel, 924:35046 


Items with secondary classifications in 35B40 

Abd El-Rady, A. S. (with El-Sherbiny, H. M.; Akll, M. S.) On asymptotic properties of 
solutions of inhomogeneous second order elliptic equations in the exterior of a bounded 
region. (Arabic summary) 92j:35039 

Akll, M.S. see Abd El-Rady, A. S.; et al., 92j:35039 

Alt, Hans Wilhelm (with Pawtow, Irena) A mathematical model and an existence theory for 
nonisothermal phase separation. 92f:35080 

Amick, Charles J. On the asymptotic form of Navier-Stokes flow past a body in the plane. 
92b:35121 

Andersen, Carl M. see Geer, James F., 92d:65191 

Ashbaugh, Mark S. (with Benguria, Rafael D.; Yarur, Cecilia) Properties of the positive 
solution of a generalized Thomas-Fermi-von Weizsacker equation. 92f:35122 

Avrin, Joel D. Qualitative theory of the Cauchy problem for a one-step reaction model on 
bounded domains. 92h:35103 

Bandle, Catherine Blow up in exterior domains. 92d:35023 

Bebernes, J. (with Bressan, A., Jr.) Blowup for some reactive-Euler induction models. 
92a:35086 

Benguria, Rafael D. see Ashbaugh, Mark S.; et al., 92f:35122 

Bikbaev, R. F. Whitham restructuring and time asymptotics of the solution of a nonlinear 
Schrédinger equation with finite-gap behavior as x — too. (Russian) 92g:35198 

Bressan, A., Jr. see Bebernes, J., 92a:35086 

Brochet, D. (with Hilhorst, Danielle) Universal attractor and inertial sets for the phase field 
model. 92g:35102 

Buchnev, V. Yu. see Butuzov, V. F., 92g:35025 

Butuzov, V. F. (with Buchnev, V. Yu.) On the asymptotic behavior of the solution of a 
singularly perturbed two-dimensional problem of reaction-diffusion-transport type. 
(Russian) 92g:35025 

— see also Vasileva, A. B.; et al., (92i:65009) 

Chen, Jian Li see Liang, Jian Hua; et al., 92b:35080 

Chen, Pei-Li Asymptotic behavior and steady state solutions of a myelinated axon model 
with FitzHugh-Nagumo dynamics. 92b:92012 

Chen, Xinfu Generation and propagation of interfaces for reaction-diffusion equations. 
92m:35129 

Chen, Zhen Tao A class of Volterra reaction-diffusion equations. (Chinese. English 
summary) 92m:35130 

Chen, Zhi Min A sharp decay result on strong solutions of the Navier-Stokes equations in 
the whole space. 92g:35173 

Chéng, Kuo Shun (with Ni, Wei-Ming) On the structure of the conformal Gaussian 
curvature equation on R?. II. 92i:53017 

— (with Lin, Tai Chia) The structure of solutions of a semilinear elliptic equation. 
92j:35007 

Chipot, Michel (with Fila, Marek; Quittner, Pavol) Stationary solutions, blow up and 
convergence to stationary solutions for semilinear parabolic equations with nonlinear 
boundary conditions. 92h:35110 

— (with Kersner, Robert) On a critical threshold for nonlinear diffusion equations. 
92k:35126 

Chow, Shui-Nee (with Lin, Xiao-Biao; Lu, Kening) Smooth invariant foliations in infinite- 
dimensional spaces. 92k:58210 

Cole, Julian D. Scale factors in similarity solutions. 92g:35010 

Colli, Pierluigi (with Rodrigues, José-Francisco) Hyperbolic perturbation problems 
involving time derivatives on the boundary. 92a:35015 





555 1992 


Cook, L. Pamela Transonics and asymptotics. 92¢:76039 

Cotsiolis, Athanase (with Oskolkov, A. P.; Shadiev, R. D.) Asymptotic stability and time 
periodicity of “small” solutions of equations of motion of Oldroyd fluids and Kelvin- 
Voigt fluids. (Russian. English summary) 92¢:35132 

Dassios, George (with Zafiropoulos, Filareti) Equipartition of energy in linearized 3-D 
viscoelasticity. 92e:73021 

Deift, Percy (with Zhou, Xin) A steepest descent method for oscillatory Riemann-Hilbert 
problems. 92g:35171 

Deng, Keng (with Kwong, Man Kam; Levine, Howard A.) The influence of nonlocal 
nonlinearities on the long time behavior of solutions of Burgers’ equation. 92k:35241 

Denisov, V. N. Stabilization of the means of the solution of the Cauchy problem for 
hyperbolic equations. (Russian) 92g:35029 

Desvillettes, L. (with Dolbeault, Jean) On long time asymptotics of the Viasov-Poisson- 
Boltzmann equation. 92b:35153 

Dobrokhotov, S. Yu. (with Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A. I.) Asymptotic 
rapidly decreasing solutions of linear strictly hyperbolic systems with variable coefficients. 
(Russian) 924:35172 

Dolbeault, Jean see Desvillettes, L., 92b:35153 

Dold, J. W. see Kapila, A. K., (92b:00035) 

Duan, Li Li see Liang, Jian Hua; et al., 92b:35080 

Elliott, Charles M. (with Zheng, Song Mu) Global existence and stability of solutions to the 
phase field equations. 92g:35214 

El-Sherbiny, H. M. see Abd El-Rady, A. S.; et al., 92j:35039 

Escobedo, Miguel (with Zuazua, Enrike) Large time behavior for convection-diffusion 
equations in R". 92i:35063 

Eskin, L. D. On the asymptotic behavior of solutions of degenerate parabolic equations. 
(Russian) 92i:35070 

Farhy, Leon S. Asymptotic behaviour of solutions of the wave equation outside trapping 
obstacles. (see 92m:35004) 

Figueiredo, I. M. N. A justification of the Donnell-Mushtari-Vlasov model by the asymp- 
totic expansion method. 92f:73038 

Fila, Marek see Chipot, Michel; et al., 92h:35110 

Fokas, Athanassios S. see Santini, P. M., 92d:35274 

Fushchich, V.I. (with Parasyuk, I.O.) A qualitative analysis of families of bounded 
solutions of the multidimensional nonlinear Schrédinger equation. (Russian. Ukrainian 
summary) 92g:35054 

Galaktionov, V. A. (with Vazquez, Juan Luis) Asymptotic behaviour of nonlinear parabolic 
equations with critical exponents. A dynamical systems approach. 92k:35128 

— (with Posashkov, S. A.) Any large solution of a nonlinear heat conduction equation 
becomes monotonic in time. 924:35141 

Garroni, Maria Giovanna (with Menaldi, José-Luis) Green’s function and invariant density 
for an integro-differential operator of second order. 92¢:35053 

Gawinecki, Jerzy L’-L‘-time decay estimate for solution of the Cauchy problem for 
hyperbolic partial differential equations of linear thermoelasticity. 92d:35180 

Geer, James F. (with Andersen, Carl M.) A hybrid perturbation-Galerkin technique for 
partial differential equations. 92d:65191 

Goncalves Ribeiro, J. M. Finite time blow-up for some nonlinear Schrédinger equations 
with an external magnetic field. 92b:35140 

Gum, T. see Tam, K. Kuen 

Guo, Bo Ling Global solutions to a class of three-dimensional nonlinear Schrédinger 
systems of equations with magnetic effects and their asymptotic properties. (Chinese. 
English summary) 92g:35201 

Hagstrom, Thomas Asymptotic analysis of dissipative waves with applications to their 
numerical simulation. (see 92b:00035) 

van Hassel, R.R. Accurate asymptotics for singularly perturbed dynamic free boundary 
problems. 92¢:35015 

He, Yuanping (with Moodie, T. B.) The signaling problem in nonlinear hyperbolic wave 
theory. 92j:35116 

Herrero, Miguel A. (with Velazquez, Juan J. L.) Comportement générique au voisinage 
d’un point d’explosion pour des solutions d’équations paraboliques unidimensionnelles. 
(English summary) [Generic blow-up behavior of solutions of one-dimensional semilinear 
parabolic problems] 92m:35140 

Hess, Peter Asymptotics in semilinear periodic diffusion equations with Dirichlet or Robin 
boundary conditions. 92m:35141 

Hilhorst, Danielle see Brochet, D., 92g:35102 

Hsiao, George C. (with Wendland, Wolfgang L.) On the low frequency asymptotics for 
exterior elasticity problems. 92g:73038 

Hunter, John K. Interacting weakly nonlinear hyperbolic and dispersive waves. 92¢:35103 

IVina, A. V. On the asymptotic behavior with respect to the small parameter of solutions of 
a fourth-order nonlinear evolution system that admits an L-A representation. (Russian) 

James, Matthew R. (with Le Gland, Francois) Identification of partially observed 
diffusions with small noise. 924:93116 

Kaizu, Satoshi The Poisson equation with nonautonomous semilinear boundary conditions 
in domains with many time holes. 92:35024 

Kalyakin, L. A. The method of matching in a problem on long-wave modulation of 
nonlinear two-dimensional waves with dispersion. (Russian) 92a:35110 

Kapila, A. K. (with Dold, J. W.) Evolution to detonation in a nonuniformly heated reactive 
medium. (see 92b:00035) 

Kawanago, Tadashi The behavior of solutions of quasi-linear heat equations. 92c:35062 

Kersner, Robert see Chipot, Michel, 92k:35126 

Khallaev, M. Kh. Estimation of the growth of solutions of some quasilinear elliptic 
inequalities. (Russian) 92e:35073 

Kim, Jong Uhn Exponential decay of the energy of a one-dimensional nonhomogeneous 
medium. 92¢:35010 

King, Andrew Charles Nonlinear capillary waves induced by a moving contact line. (see 
92a:65021) 

King, John Robert Integral results for nonlinear diffusion equations. 924:35146 

Klepikov, V.N. Exact asymptotics for a functional of a solution of the stochastic Goursat 
problem. (Russian) 92¢:60092 

Korobkin, A. A. (with Sturova, I. V.) Numerical evaluation of unsteady surface waves using 


35B Qualitative properties of solutions 


35B40 


Maslov’s operator method. 92b:76009 

Kozono, Hideo (with Ozawa, Tohru) Stability in L’ for the Navier-Stokes flow in a n- 
dimensional bounded domain. 92j:35145 

— (with Ogawa, Takayoshi; Sohr, Hermann) Asymptotic behaviour in L’ for weak solutions 
of the Navier-Stokes equations in exterior domains. 92k:35220 

Kusano, Takagi (with Swanson, Charles A.) Existence theorems for Monge-Ampére 
equations in RY. 92a:35063 

Kwong, Man Kam see Deng, Keng; et al., 92k:35241 

Lee, Tzong-Yow (with Ni, Wei-Ming) Global existence, large time behavior and life span of 
solutions of a semilinear parabolic Cauchy problem. 92k:35134 

Le Gland, Francois see James, Matthew R., 92d:93116 

Levenshtam, V. B. Asymptotic integration of a convection problem. (Russian) 92e:35081 

— Exponential dichotomy and the averaging method for parabolic equations with rapidly 
oscillating principal part. (Russian) 92i:35066 

Levine, Howard A. see Deng, Keng; et al., 92k:35241 

Liang, Jian Hua (with Chen, Jian Li; Duan, Li Li) Definite conditions and asymptotic 
solution of one nonlinear partial differential equation in morphogenesis. 92b:35080 

Lin, Sung Shan On the number of positive solutions for nonlinear elliptic equations when a 
parameter is large. 924:35030 

Lin, Tai Chia see Chéng, Kuo Shun, 92j:35007 

Lin, Xiao-Biao see Chow, Shui-Nee; et al., 92k:58210 

Liu, Tai-Ping Quasilinear hyperbolic-parabolic partial differential equations. 92e:35128 

Liu, Yue Asymptotic behavior of solutions of Schrédinger equations. (Chinese) 92e:35155 

La, Kening see Chow, Shui-Nee; et al., 92k:58210 

La, Yun Guang Existence and asymptotic behavior of solutions to inhomogeneous equations 
of elasticity with little viscosity. 92e:35082 

— (with Zhao, Hui Jiang) Existence and asymptotic behavior of solutions to 2 « 2 hyperbolic 
quadratic conservation laws with small viscosity. 92g:35135 

Ma, Xiaoyun (with McOwen, Robert C.) Complete conformal metrics with zero scalar 
curvature. 92h:53049 

Maslov, V. P. *& AcHMnTOTH¥eCKHe MeTOBI H Teopua BOSMyueHH. (Russian) [Asymptotic 
methods and perturbation theory] 92i:35013 

— see also Dobrokhotov, S. Yu.; et al., 92d:35172 

Maz’ya, V.G. (with Nazarov, S. A.; Plamenevskii, B. A.) * Asymptotische Theorie elliptis- 
cher Randwertaufgaben in singular gestérten Gebieten. I. (German) [Asymptotic theory 
of elliptic boundary value problems in singularly perturbed domains. I.] 92g:35059 

Mazzeo, Rafe Regularity for the singular Yamabe problem. 92k:53071 

Mclver, P. Trapping of surface water waves by fixed bodies in a channel. 92a:76016 

McOwen, Robert C. see Ma, Xiaoyun, 92h:53049 

Menaldi, José-Luis see Garroni, Maria Giovanna, 92c:35053 

Meyer, Richard E. On exponential asymptotics for nonseparable wave equations. I. 
Complex geometrical optics and connection. 92m:35059 

— On exponential asymptotics for nonseparable wave equations. II. EBK quantization. 
92m:35060 

Miklavéié, Milan A sharp condition for existence of an inertial manifold. 92h:34123 

Moodie, T. B. see He, Yuanping, 92j:35116 

Nagase, Haruo On an asymptotic behaviour of solutions of nonlinear parabolic variational 
inequalities. 92a:35094 

Naumkin, P. 1. (with Shishmarév, I. A.) Asymptotic behavior as t — oo of solutions of a 
nonlinear nonlocal Schrédinger equation. (Russian) 92h:35216 

Nazarov, S. A. Asymptotic behavior of the solution of the Dirichlet problem in an angular 
domain with a periodically changing boundary. (Russian) 92g:35062 

— see also Maz'ya, V. G.; et al., 92g:35059 

Nefédov, N. N. see Vasil’eva, A. B.; et al., (92i:65009) 

Ni, Wei-Ming see Chéng, Kuo Shun, 92i:53017 and Lee, Tzong-Yow, 92k:35134 

Noussair, Ezzat S. (with Swanson, Charles A.) Asymptotics for semilinear elliptic systems. 
92h:35072 

Ogawa, Takayoshi see Kozono, Hideo; et al., 92k:35220 

Oskolkov, A. P. see Cotsiolis, Athanase; et al., 92e:35132 

Ozawa, Tohru see Kozono, Hideo, 92j:35145 

Pankov, A. A. Strong G-convergence of nonlinear elliptic operators and homogenization. 
(see 92d:00037) 

Pankratov, L.S. Asymptotic behavior of solutions of variational problems in domains with 
“accumulators”. (Russian) 92k:49025 

Parasyuk, I. O. see Fushchich, V. 1., 92g:35054 

Pawiow, Irena see Alt, Hans Wilhelm, 92:35080 

Perlin, P. 1. On the asymptotics of solutions of boundary value p of potential theory 
and elasticity theory near conical points of the boundary. (Russian) 92k:73022 

Plamenevskii, B. A. see Maz’ya, V. G.; et al., 92g:35059 

Pletner, Yu. D. Asymptotics of the fundamental solution of the equation of internal waves 
as t + co and the quasifront phenomenon. (Russian) 92j:76100 

— (with Tverskaya, L. V.) On a problem on the oscillations of a rotating stratified fluid 
excited by a plane two-sided disk. (Russian) 92m:76146 

Polatik, Peter Existence of unstable sets for invariant sets in compact semiflows. Applica- 
tions in order-preserving semiflows. 92f:58151 

Posashkov, S. A. see Galaktionov, V. A., 92d:35141 

Qin, Tie Hu Classical solutions of boundary value problems of Carleman equation. 
92a:35100 

Quittner, Pavol Blow-up for semilinear parabolic equations with a gradient term. 92g:35092 

— see also Chipot, Michel; et al., 92h:35110 

Razzhevaikin, V. N. Finite stability for an equation of inhomogeneous diffusion with a 
nonlinear source (on modeling population space dynamics). (Russian) 92b:35078 

Reiter, Edna see Rodrigue, Garry H., 92f:65151 

Rocha, Carlos Properties of the attractor of a scalar parabolic PDE. 92m:35122 

Rodrigue, Garry H. (with Reiter, Edna) An asymptotically induced domain decomposition 
method for parabolic boundary layer problems. 92f:65151 

Rodrigues, José-Francisco see Colli, Pierluigi, 92a:35015 

Ruess, W. M. Asymptotic behavior of solutions to the abstract Cauchy problem. (see 
92m:00055) 

Sacks, Paul E. Limiting behavior of solutions of u, = Au” as m — co. 92f:35083 








35B40 


Santini, P.M. (with Fokas, Athanassios S.) Dromions, a new manifestation in nonlinear 
phenomena. 924:35274 

Sanziel, Maria Cristina (with Tarzia, Domingo Alberto) Necessary and sufficient condition 
to obtain n phases in a one-dimensional medium with a flux condition on the fixed face. 
92h:80012 

Schaaf, Renate (with Schmitt, Klaus) Asymptotics for solution branches of semilinear 
elliptic problems at resonance. 92k:35106 

Schmitt, Klaus see Schaaf, Renate, 92k:35106 

Schonbek, Maria E. Lower bounds of rates of decay for solutions to the Navier-Stokes 
equations. 92j:35148 

Schulze, Bert-Wolfgang Elliptic regularity with continuous and branching edge asymptotics. 
92g:35038 

von Seggern, Rainer * Lésungen von Randwertproblemen zweiter Art fiir die 
Warmeleitungsgleichung in geschichteten Materialien. (German) [Solutions of boundary 
value problems of the second kind for the equation of heat conduction in composite mate- 
rials] 92a:35073 

Sevéovit, Daniel Limiting behavior of global attractors for singularly perturbed beam 
equations with strong damping. 92f:35021 

Shadiev, R. D. see Cotsiolis, Athanase; et al., 92e:35132 

Shafarevich, A.I. see Dobrokhotov, S. Yu.; et al., 924:35172 

Shishmarév, I. A. see Naumkin, P. I., 92h:35216 

Sinai, Ya. G. Two results concerning asymptotic behavior of solutions of the Burgers 
equation with force. 924:35261 

Skvortsov, M. Yu. see Vishik, M. I., 92k:35122 

Slemrod, Marshall Large time behavior of the Broadwell model of a discrete velocity gas 
with specularly reflective boundary conditions. 92b:82104 

Smiley, Michael W. Complex-valued time-periodic solutions and breathers of nonlinear 
wave equations. 92b:35099 

Sohr, Hermann see Kozono, Hideo; et al., 92k:35220 

Song, Min Initial value problems for a class of nonlinear systems of Schrédinger equations. 
(Chinese. English summary) 92m:35255 

Sturova, I. V. see Korobkin, A. A., 92b:76009 

Sugimoto, N. Burgers equation with a fractional derivative; hereditary effects on nonlinear 
acoustic waves. 92¢:76063 

Suleimanov, B. I. The second Painlevé equation in a problem on nonlinear effects near 
caustics. (Russian. English summary) 924:35275 

Sun, S. M. Existence of a generalized solitary wave solution for water with positive Bond 
number less than 1/3. 92d:76011b 

Suzuki, Ryuichi On blow-up sets and asymptotic behavior of interfaces of one-dimensional 
quasilinear degenerate parabolic equations. 92m:35125 

Swanson, Charles A. see Kusano, TakaSi, 92a:35063 and Noussair, Ezzat S., 92h:35072 

Tam, K. Kuen (withGum,T.) An aspect of unstable solution of a nonlinear heat equation. 

Tan, Shao Bin On the generalized system of ferro-magnetic chain with Gilbert damping 
term. 924:82062 

Tarzia, Domingo Alberto Exponential asymptotic behavior in a porous-medium equation 
with absorption. (Spanish. English summary) 92b:35180 

— A variant of the heat balance integral method and a new proof of the exponentially 
fast asymptotic behavior of the solutions in heat conduction problems with absorption. 
924:35155 

— see also Sanziel, Maria Cristina, 92h:80012 

Tedeev, A. F. Stabilization of the solution of the third mixed problem for second-order 
quasilinear parabolic equations in a noncylindrical domain. (Russian) 92j:35100 

Turner, Cristina Vilma Diffusion of a solvent in a nonhomogeneous polymer. (Spanish) 
924:35314 

Tverskaya, L. V. see Pletner, Yu. D., 92m:76146 

Valencia, Marta Invariant regions and asymptotic bounds for a hyperbolic version of the 
nerve equation. 92f:92016 

Vasil’eva, A. B. (with Volkov, V. T.) Asymptotic approximation of a periodic solution 
of the second boundary value problem for a system with small diffusion. (Russian) 
92g:35108 

— (with Butuzov, V. F.; Nefédov, N. N.) The contrast structure type solutions of nonlinear 
singularly perturbed equations. (see 92i:65009) 

Vazquez, Juan Luis see Galaktionov, V. A., 92k:35128 

Velazquez, Juan J.L. see Herrero, Miguel A., 92m:35140 

Vishik, M.1. (with Skvortsov, M. Yu.) Asymptotic behavior of elements of attractors 
corresponding to singularly perturbed parabolic equations. (Russian) 92k:35122 

Volkov, V.T. see Vasil’eva, A. B., 92g:35108 

Weck, N. (with Witsch, K. J.) Exterior Dirichlet problem for the reduced wave equation: 
asymptotic analysis of low frequencies. 92d:35079 

Wendland, Wolfgang L. see Hsiao, George C., 92g:73038 

Witsch, K. J. see Weck, N., 92d:35079 

Xing, Jia Sheng Global strong solutions to a class of Burgers-BBM equations. (Chinese. 
English summary) 92m:35244 

Yang, Jian Fu Existence and asymptotic behavior in planar vortex theory. 92m:35224 

Yang, Zhong Hua' Global asymptotic behavior of solutions to nonsteady state thermal 
ignition problems. (Chinese. English summary) 92g:35109 

Yarur, Cecilia see Ashbaugh, Mark S.; et al., 92£:35122 

Yin, Jing Xue Finite speed of propagation of solutions for some quasilinear higher order 
parabolic equations with doubly strong degeneration. 92h:35115 

Zafiropoulos, Filareti see Dassios, George, 92e:73021 

Zhang, Zhuang Zhi The existence and asymptotic behavior of solutions for evolution 
equations and applications to P.D.E. 92j:35101 

Zhao, Hui Jiang see Lu, Yun Guang, 92g:35135 

Zheng, Song Mu see Elliott, Charles M., 92g:35214 

Zhevandrov, P. N. see Dobrokhotov, S. Yu.; et al., 92d:35172 

Zhou, Xin see Deift, Percy, 92g:35171 

Zuazua, Enrike see Escobedo, Miguel, 92i:35063 


PARTIAL DIFFERENTIAL EQUATIONS 


35B45 _ A priori estimates 


Adachi, Kenzé Hilder estimates for the 9-problem in some convex domains with real 
analytic boundary. 92i:35020 

Azzam, Ali (with Kondrat'ev, V. A.) Schauder-type estimates of solutions of second order 
elliptic systems in divergence form, in nonregular domains. 92m:35037 

Bardi, Martino (with Perthame, Benoit) Uniform estimates for some degenerating 
quasilinear elliptic equations and a bound on the Harnack constant for linear equations. 
92a:35028 

Borsuk, M. V. Nonimprovable estimates for solutions of the Dirichlet problem for second- 
order linear elliptic equations of nondivergence type in a domain with a conic point. 
(Russian) 

Brown, Russell M. (with Shen, Zhong Wei) A note on L? estimates for parabolic systems in 
Lipschitz cylinders. (see 92m:00047) 

Denisova, I. V. A priori estimates for the solution of the linear nonstationary problem 
connected with the motion of a drop in a liquid medium. (Russian) 92k:35040 

DiBenedetto, E. (with Kwong, Ying C.) Harnack estimates and extinction profile for weak 
solutions of certain singular parabolic equations. 92f:35033 

Ivanov, Aleksandr Vasil’evich (with Mkrtychyan, P. Z.) A weighted estimate of the gradient 
for nonnegative generalized solutions of quasilinear doubly degenerate parabolic 
equations. (Russian. English summary) 92c¢:35022 

Kondrat'ev, V. A. see Azzam, Ali, 92m:35037 

Krasovskii, Yu. P. Estimation of the solutions of parabolic problems without an initial 
condition. (Russian) 92g:35035 

Kwong, Ying C. see DiBenedetto, E., 92f:35033 

Lavrent‘ev, M. M., Jr. Estimation of the highest derivative for some nonlinear parabolic 
equations. (Russian) 92¢:35023 

Lieberman, Gary M. On the Hélder gradient estimate for solutions of nonlinear elliptic and 
parabolic oblique boundary value problems. 92¢:35024 

Mkrtychyan, P. Z. see Ivanov, Aleksandr Vasilevich, 92¢:35022 

Nazarov, A. I. Conditional estimates for the maximum for quasilinear equations. (Russian) 
(see 92m:00029) 

Pelczar, Andrzej Some qualitative problems in the theory of second order partial differential 
equations. 92a:35029 

Perthame, Benoit see Bardi, Martino, 92a:35028 

Pulkina, L.S. Ana priori estimate for the solution of a problem with shift for an equation 
of mixed type. (Russian) (see 92d:35003) 

Shen, Zhong Wei see Brown, Russell M., (92m:00047) 

Vitali, Enrico An L?-estimate for a class of quasilinear parabolic systems. (Italian. English 
summary) 924d:35050 

Zajaczkowski, Wojciech M. A priori estimates for solutions to noncharacteristic mixed 
problems to nonlinear symmetric hyperbolic systems of the first order with dissipation. 
(Russian summary) 924:35051 


Items with secondary classifications in 35B45 

Affouf, M. L? estimates for the perturbed phase transitions in unbounded one-dimensional 
nonlinear viscoelasticity. 92¢:73060 

Alikakos, Nicholas D. (with McKinney, William R.) Remarks on the equilibrium theory for 
the Cahn-Hilliard equation in one space dimension. 92b:35081 

Alinhac, Serge Approximation et temps de vie des solutions des équations d’Euler 
isentropiques en dimension deux d’espace. [Approximation and life span of the solutions 
of isentropic Euler equations in two space dimensions] (see 92£:35007) 

Amann, Herbert Global existence for a class of highly degenerate parabolic systems. 
92£:35090 

Amato, Roberto A fundamental estimate and an inequality of Caccioppoli’s type for 
nonlinear parabolic systems of higher order. 92i:35062 

Attia Hussein, Hassan (with El-Fiky, Ahmed S.) Estimating the exponential growth of the 
solution of certain linear partial differential equations. 92a:35158 

Baev, A.D. Ana priori estimate for solutions of boundary value problems for a class of 
degenerate pseudo-differential equations. (Russian) (see 92e:35003) 

Bagirov, L. A. (with Myshkis, P. A.) An a priori estimate for the solution of boundary 
value problems for a second-order elliptic equation in domains with edges. (Russian) 
92d:35084 

Beals, Michael (with Strauss, Walter Alexander) Time decay estimates for a perturbed 
wave equation. (see 92d:35009) 

Begehr, Heinrich G. W. (with Wen, Guo Chun; Zhao, Zhong Xin) An initial and boundary 
value problem for nonlinear composite type systems of three equations. 92h:35158 

Borsuk, M. V. Estimates for solutions of the Dirichlet problem for a second-order 
quasilinear elliptic equation of nondivergence type near a corner point. (Russian) 

Brézis, Haim (with Merle, Frank) Uniform estimates and blow-up behavior for solutions of 
—Au = V(x)e" in two dimensions. 92m:35084 

Bruckner, A. M. (with Petruska, Gyérgy; Preiss, David; Thomson, Brian S.) The equation 
UxUy = 0 factors. 92h:35042 

Caffarelli, Luis A. (with Spruck, Joel) Variational problems with critical Sobolev growth 
and positive Dirichlet data. 92d:35083 

Cao, Dao Min Bifurcation for quasilinear elliptic systems on R” with natural growth 
conditions. 92m:35027 

Chang, Sun-Yung A. (with Yang, Paul C.) A perturbation result in prescribing scalar 
curvature on S". 92m:53063 

Chen, Ya Zhe Strong solution of the obstacle problem for fully nonlinear elliptic equations. 
92g:35080 

Chen, Zhi Min Long time small solutions to nonlinear parabolic equations. 92¢:35085 

Cheng, Qing Ming Complete hypersurfaces in a 4-dimensional unit sphere with constant 
mean curvature. 92m:53092 

Dang Dinh Hai On a wave equation with nonlinear strong damping. 92a:35109 

Datti, P.S. (with Joseph, K. T.; Vanninathan, M.) Geometrical optics approximation for 
general scalar conservation laws. 92¢:35075 

Derridj, Makhlouf (with Tartakoff, David S.) Local analyticity for the 7-Neumann problem 
and for 0, in some model domains without maximal estimates. 92h:32028 

Deuring, Paul Addendum: “An integral operator related to the Stokes system in exterior 





557 1992 


domains” [Math. Methods Appl. Sci. 13 (1990), no. 4, 323-333; MR 91i:35151]. 

Dias, Jofo-Paulo (with Figueira, Mario) On the existence of a global solution of the Cauchy 
problem for a Klein-Gordon-Dirac system. (French summary) 92¢:35140 

Diotko, Tomasz Local solvability of semilinear parabolic equations. 92j:35086 

Dong, Guang Chang Viscosity solutions of the first boundary value problem for the second 
order fully nonlinear parabolic equation under natural structure conditions. 92f:35085 

Efendiev, M. 1. Strictly hyperbolic higher-order equations in L?(R") spaces, 1 < p < +00. 
(Russian) 92c:35071 

Elezovi¢, Neven (with Mikelié, Andro) On the stochastic Cahn-Hilliard equation. 
92h:35251 

El-Fiky, Ahmed S. see Attia Hussein, Hassan, 92a:35158 

Engler, Hans (with Kawohl, Bernhard; Luckhaus, Stephan) Gradient estimates for 
solutions of parabolic equations and systems. 92b:35082 

Figueira, Mario see Dias, Joaio-Paulo, 92¢:35140 

Fitzgibbon, William E. (with Morgan, J. J.; Sanders, R. S.; Waggoner, S. J.) Estimates for 
spatio-temporally dependent reaction diffusion systems. 92h:35104 

Fursikov, A. V. The Cauchy problem for a second-order elliptic equation in a conditionally 
well-posed formulation. (Russian) 92a:35049 

Ganzha, E.1. A growth estimate for the derivatives of the solution of a class of second-order 
differential equations. (Russian) (see 92e:00011) 

Giarrusso, Ester Estimates for generalized subsolutions of first order Hamilton-Jacobi 
equations and rearrangements. 92j:35028 

Guan, Be (with Spruck, Joel) Interior gradient estimates for solutions of prescribed 
curvature equations of parabolic type. 92k:35131 

Hayasida, Kazuya On a backward estimate of solutions of the porous media equation. 
924:35144 

— An ill-posed estimate for a class of degenerate quasilinear elliptic equations. 92i:35055 

Hirata, Hitoshi The Cauchy problem for Hartree type Schrédinger equation in weighted 
Sobolev space. 92m:47152 

IVin, Viadimir Aleksandrovich (with Moiseev, E. I.) A two-dimensional nonlocal boundary 
value problem for the Poisson operator in the differential and the difference interpreta- 
tion. (Russian. English summary) 924:35076 

Joseph, K.T. see Datti, P. S.; et al., 92¢:35075 

Kadykenov, B. M. see Kasymov, K. A., 92h:35016 

Kadyrov, R. R. see Mirsagatov, Sh. Sh.; et al., 92h:35154 

Kalita, E. A. Behavior of solutions of quasilinear elliptic sy ata 
point. (Russian) 92g:35063 

Karagodov, V. P. Local solvability of three-dimensional problems of heat convection of a 
viscous incompressible fluid. (Russian) 92k:35229 

Kasymov, K. A. (with Kadykenov, B. M.) Estimates for solutions of a boundary value 
problem for systems of linear hyperbolic equations with a small parameter. (Russian. 
English and Kazakh summaries) 92h:35016 

Kawohl, Bernhard see Engler, Hans; et al., 92b:35082 

Kichenassamy, Satyanad Symmetrization on the sphere and applications. 92i:35005 

Kondrat'ev, V. A. (with Oleinik, O. A.) Hardy and Korn inequalities for a class of 
unbounded domains and their applications in elasticity theory. (Russian) 92b:35155 

Kounchev, Ognyan Iv. Exact estimates of the Laplacian of a polyharmonic function and 
approximation through polyharmonic functions. 92j:35042a 

— Sharp estimate of the Laplacian of a polyharmonic function and applications. 92j:35042b 

Kurta, V. V. On the behavior of solutions of second-order quasilinear parabolic equations in 
unbounded noncylindrical domains. (Russian. English summary) 92i:35069 

Laptev, G.I. Solvability of initial-boundary value problems for third-order quasilinear 
partial differential equations. (Russian) 92a:35091 

Latypov, I. A. Estimates for a linearized Stefan problem in the Sobolev spaces te 
(Russian) (see 92e:00011) ; 

Li, Jia Yu? Gradient estimates and Harnack inequalities for nonlinear parabolic and 
nonlinear elliptic equations on Riemannian manifolds. 92k:58257 

Li, Yan Yan On uniformly rotating stars. 92e:85002 

— Interior gradient estimates for solutions of certain fully nonlinear elliptic equations. 
92a:35071 

Li, Zhi Shen The approximate solutions and the error estimates for generalized BBM 
equations and KdV-B equations. (see 92a:00039) 

Lieberman, Gary M. The Dirichlet problem with L” boundary data in domains with Dini 
continuous normal. 92j:35041 

Liess, Otto Decay estimates for the solutions of the system of crystal optics. 92e:35158 

Luckhaus, Stephan see Engler, Hans; et al., 92b:35082 

Luo, You Song Second order elliptic equations with Venttsel’ boundary conditions. 
92m:35067 

— On the quasilinear elliptic Venttsel’ boundary value problem. 92c:35050 

— (with Trudinger, Neil S.) Linear second order elliptic equations with Venttsel’ boundary 
conditions. 92i:35040 

Malecki, Romuald Estimates of the solution of the boundary value problem with a complex 
parameter for a certain elliptic system. 92i:35042 

McKinney, William R. see Alikakos, Nicholas D., 92b:35081 

Merle, Frank see Brézis, Haim, 92m:35084 

Métivier, Guy Ondes soniques. [Sound waves] 92:35045 

Mikeli¢é, Andro see Elezovié, Neven, 92h:35251 

Mirsagatov, Sh. Sh. (with Kadyrov, R. R.; Yakubov, O.) Classes of uniqueness for 
solutions of elliptic-parabolic equations in unbounded domains. (Russian. Uzbek 
summary) 92h:35154 

Moiseev, E. 1. see IVin, Viadimir Aleksandrovich, 92d:35076 

Morgan, J. J. Global existence for semilinear parabolic systems on one-dimensional 
bounded domains. 92f:35079 > 

— see also Fitzgibbon, William E.; et al., 92h:35104 

Muratbekov, M. B. Separability and estimates for the widths of sets connected with the 
domain of a nonlinear operator of Schrédinger type. (Russian) 92g:35202 

Myshkis, P. A. see Bagirov, L. A., 92d:35084 

Naumann, Joachim (with Wolff, Michael) A uniqueness theorem for weak solutions of the 
stationary semiconductor equations. 92k:35275 





gular boundary 


35B Qualitative properties of solutions 


35B50 


Norris, James R. (with Stroock, Daniel W.) Estimates on the fundamental solution to heat 
flows with uniformly elliptic coefficients. 92a:35075 

Ohno, Mayumi (with Shizuta, Yasushi; Yanagisawa, Taku) The initial-boundary value 
problems for linear symmetric hyperbolic systems with characteristic boundary. 
92g:35125 

Oleinik, O. A. see Kondrat’ev, V. A., 92b:35155 

O'Riordan, Eugene (with Stynes, Martin) A globally uniformly convergent finite element 
method for a singularly perturbed elliptic problem in two dimensions. 92j:65174 

Pan, Zhong Xiong (with Wang, Yi Fei) Numerical method for the system of reaction- 
diffusion equations with a small parameter. (Chinese. English summary) 92m:35135 

Payne, Lawrence E. (with Webb, J.R.L.) Spatial decay estimates for second order partial 
differential equations. 92m:35095 

Perzhan, A. V. Estimating the solutions of second-order hyperbolic equations with large 
parameters multiplying the inferior derivatives. (see 92m:49004) 

Petruska, Gyérgy see Bruckner, A. M.; et al., 92h:35042 

Porzio, Maria Michaela L?°-estimates for degenerate and singular parabolic equations. 
92i:35072 

Preiss, David see Bruckner, A. M.; et al., 92h:35042 

Rofe-Beketov, F.S. Selfadjointness of elliptic operators and estimates of energy type over 
the whole R". I. Second-order. (Russian) 92g:35056 

Roitberg, Ya. A. Boundary and mixed problems for general hyperbolic systems in a complete 
scale of spaces of Sobolev type. (Russian) 92h:35126 

Sad, J. E. Large time behaviour of the doubly nonlinear porous medium equation. 
92c:76069 

Sanders, R. S. see Fitzgibbon, William E.; et al., 92h:35104 

Sauvigny, Friedrich A new proof of the gradient estimate for graphs of prescribed mean 
curvature. 92m:53014 

Serre, Denis Sur la variation totale comme fonction de Liapounov pour un systéme de lois 
de conservation. (English summary) [On the total variation as a Lyapunov function for 
systems of conservation laws] 92d:35189 

Shao, Wu Shan (with Sheng, Qi Rong) Existence and uniqueness of global solutions to the 
Cauchy problem for nonlinear wave equations. (Chinese. English summary) 92m:35181 

Sheng, Qi Rong see Shao, Wu Shan; et al., 92m:35181 

Shizuta, Yasushi see Ohno, Mayumi; et al., 92g:35125 

Sideris, Thomas C. A decay estimate for the three-dimensional inhomogeneous Klein- 
Gordon equation and global existence for nonlinear equations. (see 92c:35002) 

Sprekels, Jiirgen Global solutions in one-dimensional 
92g:73073 

Spruck, Joel see Caffarelli, Luis A., 92d:35083 and Guan, Bo, 92k:35131 

Strauss, Walter Alexander see Beals, Michael, (92d:35009) 

Stroock, Daniel W. see Norris, James R., 92a:35075 

Stynes, Martin see O’Riordan, Eugene, 92j:65174 

Tartakoff, David S. see Derridj, Makhlouf, 92h:32028 

Thangavelu, S. Riesz transforms and the wave equation for the Hermite operator. 
92e:35012 

Thomson, Brian S. see Bruckner, A. M.; et al., 92h:35042 

Tian, Mao Ying The general boundary value problem for nonlinear degenerate elliptic 
equation of second order in the plane. (see 92a:00039) 

Trudinger, Neil S. see Luo, You Song, 92i:35040 

Tuchin, A. V. Separability and coercive estimates of a differential operator in L,(R"). 
(Russian. English and Kazakh summaries) 92k:35071 

Vanninathan, M. see Datti, P. S.; et al., 92c:35075 

Waggoner, S. J. see Fitzgibbon, William E.; et al., 92h:35104 

von Wahl, Wolf Abschatzungen fiir das Neumann-Problem und die Helmholtz-Zerlegung 
von L?. (English summary) [Estimates for the Neumann problem and the Helmholtz 
decomposition of L?] 924:35078 

Wang, Yi Fei see Pan, Zhong Xiong; et al., 92m:35135 

Webb, J. R. L. see Payne, Lawrence E., 92m:35095 

Weinberger, Hans F. Long-time behavior for a regularized scalar conservation law in the 
absence of genuine nonlinearity. (French summary) 92k:35137 

Wen, Guo Chun see Begehr, Heinrich G. W.; et al., 92h:35158 

Wolff, Michael see Naumann, Joachim, 92k:35275 

Wu, Jiang A note on estimates of the maximum of subsolutions to a class of elliptic 
equations. (Chinese. English summary) 

— Estimates for the maximum modulus of solutions to second-order linear partial 
differential equations of elliptic type. (Chinese. English summary) 

Xiang, Xin Min see Zhang, Fa Yong; et al., 92a:65263 

Xu, Ke Ming see Yang, Guang Wu, 92b:35058 

Xu, Xiang Sheng A diffusion problem involving two free boundaries. 92h:35249 

Yakubov, O. see Mirsagatov, Sh. Sh.; et al., 92h:35154 

Yanagisawa, Taku see Ohno, Mayumi; et al., 92g:35125 

Yang, Guang Wu (with Xu, Ke Ming) Riemann-Hilbert boundary value problems with 
weaker coefficients in the boundary condition. 92b:35058 

Yang, Paul C. see Chang, Sun-Yung A., 92m:53063 

Yao, Jing Qi Solutions to a Schrédinger-Hartree equation. (Chinese) 92j:35156 

You, Yun Cheng Energy decay and exact controllability for the Petrovsky equation in a 
bounded domain. 92b:35029 

Yuan, Guang Wei Gradient bounds for a class of semilinear elliptic equations and the 
Liouville theorem. (Chinese. English summary) 92a:35065 

Zhang, Fa Yong (with Xiang, Xin Min) The pseudospectral method for a class of nonlinear 
systems of equations under long-short wave interactions. (Chinese. English summary) 
922:65263 

Zhao, Zhong Xin see Begehr, Heinrich G. W.; et al., 92h:35158 





h . leatin: 
gn moviscoelasticity. 


35B50 Maximum principles 


Byszewski, Ludwik Strong maximum and minimum principles for parabolic functional- 
differential problems with initial inequalities u(to, x) e K. 92k:35041a 

— Strong maximum and minimum principles for parabolic functional-differential problems 
with nonlocal inequalities [u/ (to, x) — K/] + ¥), hi(x){w (Ti, x) - K/},§,0. 92k:35041b 





35B50 


— Strong maximum and minimum principles for parabolic problems with nonlocal 
inequalities. 92¢:35025 

— Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities 
together with arbitrary functionals. 92b:35032 

Caristi, Gabriella (with Mitidieri, Enzo) Further results on maximum principles for 

perative elliptic systems. 92i:35021 

Churbanov, V. V. The generalized maximum principle for semilinear parabolic systems. 
(Russian) 92¢:35038 

Hassen, Abdulkadir (with Porru, Giovanni; Zeleke, Aklilu) Maximum principles for some 
second order nonhomogeneous semilinear equations. (Italian summary) 92i:35022 

Karafiat, Andrzej Discrete maximum principle in parabolic boundary-value problems. 
924d:35052 

Maz'ya, V.G. (with Rossmann, Jiirgen) On the Agmon-Miranda maximum principle for 
solutions of elliptic equations in polyhedral and polygonal domains. 92h:35027 

Mitidieri, Enzo see Caristi, Gabriella, 92i:35021 

Muresan, Anton S. Maximum principles for systems of equations of mixed parabolic- 
hyperbolic type. 92h:35028 

Porru, Giovanni see Hassen, Abdulkadir; et al., 92i:35022 

Rossmann, Jiirgen see Maz'ya, V. G., 92h:35027 

Rus, Ioan A. On some elliptic equations with deviating arguments. 924:35053 

Sabitov, K. B. Maximum modulus principles for some classes of second-order elliptic and 
hyperbolic systems. (Russian) 92a:35030 

Soldevilla Moreno, Ma. del Mar A weak maximum principle for elliptic equations. 

Turski, Andrzej W. A modern proof of the maximum principle. 92¢:35026 

Valiakhmetov, A. A. The local extremum principle for an equation of hyperbolic type with 
strong degeneration on a part of the boundary of the domain. (Russian) (see 924:35005) 

Vyborny, Rudolf The Hadamard three-circles theorems for nonlinear equations. 924:35054 

— Maximum principles, boundary point lemmas and convexity. 92h:35029 

Zeleke, Aklilu see Hassen, Abdulkadir; et al., 92i:35022 

Zhou, Chi Ping Maximum principles for elliptic systems. 92h:35030 





Items with secondary classifications in 35B50 


Andreev, A. B. Investigation of the convergence of difference methods for some nonlinear 
stationary problems. (Russian. English and Bulgarian summaries) 92m:65107 

Bahri, Abbas (with Li, Yan Yan) On a min-max procedure for the existence of a positive 
solution for certain scalar field equations in R". 92b:35054 

Bauman, Patricia (with Owen, Nicholas C.; Phillips, Daniel) Maximum principles and 
a priori estimates for a class of problems from nonlinear elasticity. (French summary) 
92¢:35040 

Bian, Bao Jun see Dong, Guang Chang; et al., 92e:35086 

Cancelier, C. E. (with Chemin, Jean-Yves) Sous-ellipticité d’opérateurs intégro-différentiels 
vérifiant le principe du maximum. (English summary) [Subellipticity of integro- 
differential operators satisfying the maximum principle] 92k:45023 

Cao, Zhen Chao (with Gu, Lian Kun) An integral type maximum principle for solutions 
to a class of fast diffusion equations and their blow-up on the region boundary. (Chinese. 
English summary) 92j:35094 

Chan, Chiu Yeung (with Cobb, Shannon S.) Critical lengths for semilinear singular 
parabolic mixed boundary value problems. 92g:35015 

Chemin, Jean-Yves see Cancelier, C. E., 92k:45023 

Chéng, Kuo Shun (with Ni, Wei-Ming) On the structure of the conformal Gaussian 
curvature equation on R?. 92f:35061 

— (with Ni, Wei-Ming) On the structure of the conformal Gaussian curvature equation on 
R?. II. 92i:53017 

Cheng, Qing Ming Complete hypersurfaces in a 4-dimensional unit sphere with constant 
mean curvature. 92m:53092 

Cobb, Shannon S. see Chan, Chiu Yeung, 92g:35015 

Dong, Guang Chang (with Bian, Bao Jun) Uniqueness of viscosity solutions of fully 
nonlinear second order parabolic PDEs. 92e:35086 

Grunau, Hans-Christoph The Dirichlet problem for some semilinear elliptic differential 
equations of arbitrary order. 92f:35065 

Ga, Lian Kun see Cao, Zhen Chao; et al., 92j:35094 

Guo, Ben Yu (with Rogers, Colin; Siegel, David) Application to [of] maximum principles to 
boundary value problems in nonlinear heat conduction. 92e:35087 

He, Bo Rong (with Wang, Zhen Biao) The maximum principle of some difference schemes 
for coupled partial differential equations in geothermal calculations. (Chinese. English 
summary) 92h:65156 

Hernandez, Jestis Maximum principles and decoupling for positive solutions of reaction- 
diffusion systems. 92a:35001 

Kapustin, N. Yu. (with Sabitov, K. B.) The role of the Riccati equation in the theory of 
transonic gas dynamic flows. (Russian. English summary) 92m:76080 

Khallaev, M. Kh. Some theorems of Phragmén-Lindeléf type for solutions of semilinear 
parabolic inequalities. (Russian) 92e:35022 

Kuo, Chung Shéng On the quenching rate estimate. 92j:35097 

Lancaster, Kirk E. Boundary behavior near re-entrant corners for solutions of certain 
elliptic equations. 92m:35066 

Lerner, M. E. Qualitative properties of the Riemann function. (Russian) 92m:35159 

Li, Congming Monotonicity and symmetry of solutions of fully nonlinear elliptic equations 
on bounded domains. 924:35104 

Li, Lige (with Logan, Roger) Positive solutions to general elliptic competition models. 
92¢:35049 

Li, Yan Yan see Bahri, Abbas, 92b:35054 

Logan, Roger see Li, Lige, 92c:35049 

Luo, You Song Second order elliptic equations with Venttsel’ boundary conditions. 
92m:35067 

— (with Trudinger, Neil S.) Linear second order elliptic equations with Venttsel’ boundary 
conditions. 92i:35040 

Ni, Wei-Ming see Chéng, Kuo Shun, 92f:35061 and 92i:53017 

Owen, Nicholas C. see Bauman, Patricia; et al., 92c:35040 

Palagachev, D. K. The tangential oblique derivative problem for linear parabolic equations 
of second order. II. 92i:35059 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 558 


Payne, Lawrence E. (with Webb, J. R. L.) Spatial decay estimates for second order partial 
differential equations. 92m:35095 

Phillips, Daniel see Bauman, Patricia; et al., 92¢c:35040 

Porru, Giovanni (with Ragnedda, F.) Convexity properties for solutions of some second 
order elliptic semilinear equations. 92m:35080 

Ragnedda, F. see Porru, Giovanni, 92m:35080 

Ramaswamy, Mythily A counterexample to the conjecture of Saint Venant via reflection 
methods. 92b:35072 

Rogers, Colin see Guo, Ben Yu; et al., 92e:35087 

Sabitov, K. B. see Kapustin, N. Yu., 92m:76080 

Salakhitdinov, M.S. (with Urinov, A. K.) Problems of Bitsadze-Samarskii type for an 
equation of mixed type. (Russian) 92g:35149 

Shaker, A. W. On symmetry in elliptic systems. 92c¢:35039 

Siegel, David see Guo, Ben Yu; et al., 92e:35087 

Silva, Elves Alves de B.e Linking theorems and applications to semilinear elliptic problems 
at resonance. 924:35108 

Trudinger, Neil S. see Luo, You Song, 92i:35040 

Urinov, A. K. see Salakhitdinov, M. S., 92g:35149 

Urinov, U. K. Problems for the general Lavrent'ev-Bitsadze equation in a doubly connected 
domain. (Russian. Uzbek summary) 92h:35157 

Walczak, S. Optimality conditions for a Bolza problem governed by a hyperbolic system of 
Darboux-Goursat type. 92¢:49015 

Wang, Zhen Biao see He, Bo Rong; et al., 92h:65156 

Webb, J. R. L. see Payne, Lawrence E., 92m:35095 

Weck, N. (with Witsch, K. J.) The low frequency limit of the exterior Dirichlet problem for 
the reduced wave equation. 92h:35054 

Witsch, K. J. see Weck, N., 92h:35054 


35B60 Continuation and prolongation of solutions of PDE 
[see also 58A15, 58A17, 58Hxx] 


Apel'tsin, V. F. Analytic continuations of solutions of boundary value problems for the 
stationary wave equation. (Russian) 92k:35042 

Ruiz, Alberto (with Vega, Luis) Unique continuation for the solutions of the Laplacian plus 
a drift. (French summary) 92k:35043 

— (with Vega, Luis) Unique continuation for Schrédinger operators with potential in 
Morrey spaces. 92e:35039 

Shatalov, V. E. see Sternin, B. Yu., (92m:58004) 

Sternin, B. Yu. (with Shatalov, V. E.) Continuation of solutions of elliptic equations and 
localization of singularities. (Russian) (see 92m:58004) 

Vega, Luis see Ruiz, Alberto, 92e:35039 and 92k:35043 

Wolff, Thomas H. Note on counterexamples in strong unique continuation problems. 
92e:35040 


Items with secondary classifications in 35B60 

Bardos, Claude (with Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrike) 
Stabilisation de l’équation des ondes au moyen d’un feedback portant sur la condition aux 
limites de Dirichlet. (English summary) [Stabilization of the wave equation by Dirichlet- 
type boundary feedback] 92k:93100 

Berdimuratov, A.M. Continuation of generalized solutions of systems of differential 
equations that are defined in a neighborhood of several characteristic subspaces. (Russian. 
Tajiki summary) 92e:35049 

Garofalo, Nicola Unique continuation for degenerate elliptic equations. (see 92m:00047) 

Halpern, Laurence see Bardos, Claude; et al., 92k:93100 

Igari, Katsuju Characteristic Cauchy problems and analytic continuation of holomorphic 
solutions. 92f:35010 

Ishimura, Naoyuki Generalized ground states for quasilinear elliptic equations. 924:35102 

Jin, Zhi Ren (with Kazdan, Jerry L.) On the rank of harmonic maps. 92h:58053 

Kataoka, Kiyémi (with Tose, Nobuyuki) On microhyperbolic mixed problems. 92b:35010 

Kazdan, Jerry L. see Jin, Zhi Ren, 92h:58053 

Kim, Jong Uhn A unique continuation property of a beam equation with variable 
coefficients. (see 92m:93001) 

Kola, Martin Cells of harmonicity. 92m:32018 

Lebeau, Gilles see Bardos, Claude; et al., 92k:93100 

Lee, Will Y. On a counterexample of Garofalo-Lin for a unique continuation of Schrédinger 
equation. 92g:35055 

Mandai, Takeshi Existence and nonexistence of null-solutions for some non-Fuchsian 
partial differential operators with T-dependent coefficients. 92g:35152 

Rauch, Jeffrey see Bardos, Claude; et al., 92k:93100 

Sogge, Christopher D. Uniqueness in Cauchy problems for hyperbolic differential operators. 
92m:35006 

Tose, Nobuyuki see Kataoka, Kiyomi, 92b:35010 

Vabishchevich, P. N. Reduction of the Cauchy problem for elliptic equations to an extension 
problem. (see 92b:35006) 

Vorob’ev, E.M. Reduction and quotient equations for differential equations with symme- 
tries. 92i:58206 

Yamazaki, Taeko On the L7(R”) well-posedness of some singular or degenerate partial 
differential equations of hyperbolic type. 92i:35088 

Zampieri, Giuseppe An application of the second microlocalization at the boundary to the 
extension of solutions of differential systems. 92e:58203 

Zhang, Bing-Yu Unique continuation for the Korteweg-de Vries equation. 92k:35252 

Zuazua, Enrike see Bardos, Claude; et al., 92k:93100 


35B65 Smoothness/regularity of solutions of PDE 


Albano, Luisa (with Rodino, Luigi) Analytic and Gevrey regularity for linear partial 
differential operators. 92¢:35027 

Aubert, G. Sur une équation quasilinéaire d’ordre 2 non elliptique. (English summary) [A 
second-order nonelliptic quasilinear equation] 92e:35041 





559 1992 


Babin, A. V. On the smoothness of solutions of differential equations at singular points of 
the domain boundary. (Russian) 92a:35031 

Bao, Gang (with Symes, William W.) A trace theorem for solutions of linear partial 
differential equations. 92h:35031 

Beals, Michael Regularity of nonlinear waves associated with a cusp. 92f:35034 

Benmohamed, A. (with Robbiano, Luc) Exposant critique de Sobolev et régularité des 
solutions d’équations elliptiques. (English summary) [Sobolev critical exponent and 
regularity of the solutions of elliptic equations] 92d:35055 

Caffarelli, Luis A. The regularity of mappings with a convex potential. 92j:35018 

Chemin, Jean-Yves Evolution of a punctual singularity in an Eulerian flow. (see 92c:35002) 

Chistyakov, V. M. see Koshelev, A. I., 92d:35057 

Choe, Hi Jun Hélder regularity for the gradient of solutions of certain singular parabolic 
systems. 92m:35038 

Craig, Walter (with Kappeler, Thomas; Strauss, Walter Alexander) Infinite gain of 
regularity for dispersive evolution equations. (see 92c:35002) 

Danétek, J. On the interior regularity of weak solutions to nonlinear elliptic systems of 
second order. (German and Russian summaries) 92j:35019 

Debbaj, Omar Régularité L’ des problémes aux limites de type Hermite et Tricomi. [L?- 
regularity of Hermite and Tricomi boundary value problems] 924:35056 

DiPerna, R. J. (with Lions, Pierre-Louis; Meyer, Yves) L? regularity of velocity averages. 
(French summary) 92g:35036 

Escauriaza, Luis (with Fabes, Eugene B.; Verchota, Gregory) On a regularity theorem for 
weak solutions to transmission problems with internal Lipschitz boundaries. 92j:35020 

Fabes, Eugene B. see Escauriaza, Luis; et al., 92j:35020 

Gérard, Patrick (with Golse, Francois) Averaging regularity results for PDEs under 
transversality assumptions. 92k:35044 

Giga, Mariko (with Giga, Yoshikazu; Sohr, Hermann) L? estimate for abstract linear 
parabolic equations. 92e:35042 

Giga, Yoshikazu see Giga, Mariko; et al., 92e:35042 

Golse, Francois see Gérard, Patrick, 92k:35044 

Hernandez, Gaston E. (with Roussos, Ioannis M.) The Hélder exponent for radially 
symmetric solutions of porous medium type equations. 92g:35037 

Jarusek, Jiti On the regularity of solutions of a thermoelastic system under noncontinuous 
heating regimes. II. (Czech summary) 92¢:35043 

Kappeler, Thomas see Craig, Walter; et al., (92c:35002) 

Koshelev, A. I. (with Chistyakov, V.M.) The regularity of solutions for some problems of 
mathematical physics. 92d:35057 

Lions, Pierre-Louis see DiPerna, R. J.; et al., 92g:35036 

Lunardi, Alessandra (with Vespri, Vincenzo) Hélder regularity in variational parabolic 
nonhomogeneous equations. 92j:35021 

Meyer, Yves see DiPerna, R. J.; et al., 92g:35036 

Netas, Jindtich (with Sverak, Vladimir) On regularity of solutions of nonlinear parabolic 
systems. 92d:35058 

Rakotoson, Jean-Michel Quasilinear equations and spaces of Campanato-Morrey type. 
92k:35045 

Robbiano, Luc see Benmohamed, A., 92d:35055 

Rodino, Luigi see Albano, Luisa, 92c:35027 

Roussos, Ioannis M. see Hernéndez, Gastén E., 92g:35037 

Schulze, Bert-Wolfgang Elliptic regularity with continuous and branching edge asymptotics. 
92g:35038 

Sohr, Hermann see Giga, Mariko; et al., 92¢:35042 

Spring, David On the regularity of solutions in convex integration theory. 92¢:35044 

Strauss, Walter Alexander see Craig, Walter; et al., (92c:35002) 

Sverak, Viadimir see Netas, Jindtich, 92d:35058 

Symes, William W. see Bao, Gang, 92h:35031 

Verchota, Gregory see Escauriaza, Luis; et al., 92j:35020 

Vespri, Vincenzo see Lunardi, Alessandra, 92j:35021 

Wirsching, Ginther A theorem on global regularity of solutions of a singular elliptic 
equation. 92g:35039 

Zajaczkowski, Wojciech M. On the existence and regularity of solutions to the problem of 
transmission. 92¢:35028 


Items with secondary classifications in 35B65 

Babich, M. V. Smoothness of real finite-gap solutions of equations connected with the sine- 
Gordon equation. (Russian) 924:35241 

— Real finite-gap solutions of the equation Au = chu. (Russian) 92k:35240 

Baisugurov, B. A. Membership of the solution of the Tricomi problem for an equation of 
mixed type of the second kind in the class of Hélder functions. (Russian. English and 
Kazakh summaries) 

Bauman, Patricia (with Phillips, Daniel; Owen, Nicholas C.) Maximal smoothness of 
solutions to certain Euler-Lagrange equations from nonlinear elasticity. 92m:73042 

Ben-Artzi, M. (with Devinatz, Allen) Local smoothing and convergence properties of 
Schrédinger type equations. 92k:35064 

Boccardo, Lucio (with Murat, Francois) An existence result via L’ regularity for some 
nonlinear elliptic equations. (see 92m:35003) 

Bouchut, Francois Existence de solutions réguliéres globales pour le systme de Vlasov- 
Poisson-Fokker-Planck en dimension trois. [Existence of global regular solutions for the 
Vlasov-Poisson-Fokker-Planck system in three dimensions] 92g:35213 

Caffarelli, Luis A. Free boundary problems and their singular perturbations. 92k:35291 

— Some regularity properties of solutions of Monge Ampére equation. 92h:35088 

Chen, Bao Yao see He, Xu Dong; et al., 92f:35043 

Chkadua, O. O. see Natroshvili, D. G.; et al., 92e:35162 

Choe, Hi Jun A regularity theory for a general class of quasilinear elliptic partial differential 
equations and obstacle problems. 92b:35068 

— Regularity for minimizers of certain degenerate functionals with nonstandard growth 
conditions. 92k:35110 

— Hélder continuity for solutions of certain degenerate parabolic sy . 92m:35147 

Cygan, Jacek M. (with Richardson, Leonard F.) Global regularity on 3-dimensional 
solvmanifolds. 92e:22018 





35B Qualitative properties of solutions 


35B65 


Dachev, G. D. On the existence of smooth solutions of boundary value problems for a class 
of equations of mixed type. (Russian) 92h:35151 

Delladio, Silvano Some remarks on time-dependent evolution systems in the hyperbolic 
case. 92f:35076 

Denisov, V. N. Stabilization of the solution of the Cauchy problem for an iterated heat 
equation. (Russian) 

Derridj, Makhlouf (with Tartakoff, David S.) Local analyticity for the 2-Neumann problem 
and for O, in some model domains without maximal estimates. 92h:32028 

Deuring, Paul The Stokes-system in exterior domains: existence, uniqueness, and regularity 
of solutions in L?-spaces. 92k:35217 

De Vescovi, Andrea Study of a relaxed degenerate Dirichlet problem. 924:35113 

Devinatz, Allen see Ben-Artzi, M., 92k:35064 

DiBenedetto, E. (with Manfredi, Juan J.; Vespri, Vincenzo) A note on boundary regularity 
for certain degenerate parabolic equations. (see 92m:35003) 

Dzhuraev, A. D. Elliptic systems on the plane with discontinuous coefficients, and their 
applications. (Russian) 92b:35052 

Dzhuraev, T. D. (with Zikirov, O. S.) An equation of composite type. (Russian. Uzbek 
summary) 92b:35106 

Fang, Hui Zhong The first boundary value problem for quasilinear degenerate parabolic 
equations—uniqueness and regularity of solutions. (Chinese. English summary) 
92e:35095 

Gajewski, Herbert (with Gréger, Konrad) Semiconductor equations for variable mobilities 
based on Boltzmann statistics or Fermi-Dirac statistics. 92d:35281 

Grillakis, Manoussos G. Regularity and asymptotic behaviour of the wave equation with a 
critical nonlinearity. 92¢:35080 

Gréger, Konrad see Gajewski, Herbert, 92d:35281 

Guo, Bo Ling Global smooth solutions for the system of Zakharov equations in nonhomoge- 
neous medium. 92i:35120 

— (with Tan, Shao Bin) On smooth solutions to the initial value problem for the mixed 
nonlinear Schrédinger equations. 92i:35114 

— see also Zhou, Yu Lin; et al., 92i:82030 

He, Xu Dong (with Chen, Bao Yao) Regularity of H' n L"’-'/2-” weak solutions for 
nonlinear elliptic systems. 92f:35043 

Heibig, Arnaud Régularité des solutions du probléme de Riemann. (English summary) 
[Smoothness of solutions of the Riemann problem] 92g:35131 

Horsin-Molinaro, Thierry Régularité a la fronti¢re pour l’évolution des surfaces 4 courbure 
moyenne prescrite. (English summary) [Boundary regularity for the evolution of surfaces 
with prescribed mean curvature] 92h:35111 

Itoh, Tatsuo On the existence and smoothness of invariant manifolds of semilinear 
evolution equations. 92a:58020 

Ivanov, Aleksandr Vasil‘evich Regularity of generalized solutions of second-order quasilin- 
ear degenerate parabolic systems. (Russian) 92f:35092 

Jaffard, Stéphane Pointwise smoothness, two-microlocalization and wavelet coefficients. 
92j:46057 

Jerison, David Regularity of the Poisson kernel and free boundary problems. 92b:35177 

Jian, Huai Yu “Quasi-ellipticity” conditions and partial regularity of systems of nonlinear 
partial differential equations of second order. (Chinese summary) 92b:35036 

— Partial regularity for solutions of higher order nonlinear partial differential systems. 
(Chinese summary) 92g:35048 

Kamynin, L. I. Applications of parabolic Pagni potentials to boundary value probl in 
mathematical physics. I. (Russian) 92e:35078 

Khodja, Khedoudja (with Moussaoui, Mohand) Régularité hélderienne des solutions d’un 
probléme aux limites unilatérales. (English summary) [Hélder regularity of the solutions 
of an elliptic problem with unilateral boundary conditions] 92b:35070 

Larkin, N. A. Smooth solutions of nonlinear hyperbolic equations. (Russian) 92h:35142 

Lasiecka, Irena (with Triggiani, Roberto) Regularity theory for a class of nonhomogeneous 
Euler-Bernoulli equations: a cosine operator approach. 92h:35059 

— (with Triggiani, Roberto) Sharp regularity theory for second order hyperbolic equations 
of Neumann type. (Italian summary) 92k:35172 

— (with Triggiani, Roberto) Sharp regularity theory for second order hyperbolic equations 
of Neumann type. I. L2 nonhomogeneous data. 92e:35102 

Laurence, Peter (with Stredulinsky, Edward) Existence of regular solutions with convex 
levels for semilinear elliptic equations with nonmonotone L! nonlinearities. I. An 
approximating free boundary problem. 92m:35279 

— (with Stredulinsky, Edward) Existence of regular solutions with convex level sets for 
semilinear elliptic equations with nonmonotone L! nonlinearities. II. Passage to the limit. 
92m:35280 

Leonetti, Francesco On the regularity of w-minima. (Italian summary) 92i:49060 

Li, Cai Zhong (with Yang, Ze Jiang) Existence of global smooth solutions to initial 
value problems for a class of quasilinear equations with dissipation. (Chinese. English 
summary) 92k:35190 

Li, Sheng Hong see Peng, Fu Lian; et al., 92e:35076 

Lieberman, Gary M. The natural generalization of the natural conditions of Ladyzhenskaya 
and Ural'tseva for elliptic equations. 92c:35041 

Lions, Pierre-Louis (with Perthame, Benoit) Propagation of moments and regularity for the 
3-dimensional Vlasov-Poisson system. (French summary) 92e:35160 

Lanardi, Alessandra Some regularity results for linear variational second-order parabolic 
equations. (see 92m:47001) 

Mamedov, F.I. see Novruzov, A. A. 

Manfredi, Juan J. see DiBenedetto, E.; et al., (92m:35003) 

Marschall, Jiirgen Microlocal analysis for solutions of nonlinear partial differential 
equations in weighted function spaces. 92g:35009 

McCoy, Peter A. Optimal approximation and growth of solutions to a class of elliptic partial 
differential equations. 92d:35031 

Moiseev, E. I. Ona problem of Lions. (Russian) 92g:35117 

Moussaoui, Mohand see Khodja, Khedoudja, 92b:35070 

Ma, Jun (with Ziemer, William P.) Smooth regularity of solutions of double obstacle 
problems involving degenerate elliptic equations. 92h:35086 

Murat, Francois see Boccardo, Lucio, (92m:35003) 

Nadir, B. (with Varenne, J.-P.) Régularité conormale classique des problémes de Cauchy et 











35B65 


de réflexion transverse pour un systéme 2 x 2 semi-linéaire. (English summary) [Classical 
conormal regularity of the Cauchy and transverse reflection problems for a semilinear 
2 x 2 system] 92m:35166 

Natroshvili, D. G. (with Chkadua, O. O.; Shargorodskii, E.M.) Mixed problems for 
homogeneous anisotropic elastic media. (Russian. English and Georgian summaries) 
92e:35162 

Novruzov, A. A. (with Mamedov, F.I.) Smoothness of solutions of second-order degenerate 
quasilinear elliptic equations. (Russian) 

Owen, Nicholas C. see Bauman, Patricia; et al., 92m:73042 

de Pablo, Arturo (with Vazquez, Juan Luis) Regularity of solutions and interfaces of a 
generalized porous medium equation in R”. 92g:35091 

Panyushkin, V. N. Regularity of solutions of degenerate elliptic equations. (Russian) (see 
92d:28002) 

Pedersen, Michael Regularity of pointwise boundary control systems. 92k:35035 

Peng, Fu Lian (with Li, Sheng Hong) Regularity of solutions to quasilinear elliptic 
variational inequalities. (Chinese. English summary) 92e:35076 

Perestyuk, N. A. see Samoilenko, A. M.; et al., 92a:35040 

Perthame, Benoit see Lions, Pierre-Louis, 92e:35160 

Phillips, Daniel see Bauman, Patricia; et al., 92m:73042 

Pipher, Jill (with Verchota, Gregory) Area integral estimates for the biharmonic operator 
in Lipschitz domains. 92a:35052 

Prokhorenko, V. I. Theorems on the smoothness of periodic solutions of differential 
equations with singular points. (Russian) 

Promislow, Keith Time analyticity and Gevrey regularity for solutions of a class of 
dissipative partial differential equations. 92h:35192 

Rey, Olivier Concentration des solutions d’équations elliptiques avec nonlinéarité critique. 
[Concentration of the solutions of elliptic equations with critical nonlinearity] 92a:35066 

Richardson, Leonard F. see Cygan, Jacek M., 92e:22018 

Réckner, Michael (with Zegarlifiski, Boguslaw) The Dirichlet problem for quasi-linear 
partial differential operators with boundary data given by a distribution. 92a:35170 

Rudneva, T. P. Smoothness of the solution of the problem E for a degenerate parabolic 
equation. (Russian) 92g:35111 

Sadallah, Boubaker-Khaled Smoothness of the singularity for the heat equation in a 
polygonal domain. II. (Arabic. English summary) 92k:35114 

Samoilenko, A. M. (with Perestyuk, N. A.; Tasmambetov, Zh. N.) Solutions in finite form 
of a regular system of partial differential equations. (Russian) 92a:35040 

Schulz, Friedmar * Regularity theory for quasilinear elliptic systems and Monge-Ampére 
equations in two dimensions. 924:35002 

—- Regularity for certain quasilinear elliptic systems of divergence structure. 92:35062 

Sforza, Daniela Parabolic integrodifferential equations with singular kernels. 92k:45028 

Shargorodskii, E.M. see Natroshvili, D. G.; et al., 92e:35162 

Skubachevskii, A. L. (with Tsvetkov, E.L.) The second boundary value problem for elliptic 
differential-difference equations. (Russian) 92b:35163 

Smiley, Michael W. On the existence of smooth breathers for nonlinear wave equations. 
92k:35193 

Sorokin, V. A. On the smoothness of the solution of an electrostatic problem. (Russian) 
92g:35052 

Stredulinsky, Edward see Laurence, Peter, 92m:35279 and 92m:35280 

Takeuchi, Jiro Le probleme de Cauchy pour certaines équations aux dérivées partielles 
du type de Schrédinger. III. (English summary) [The Cauchy problem for some partial 
differential equations of Schrédinger type. III] 92a:35047 

Tan, Shao Bin see Guo, Bo Ling, 92i:35114 and Zhou, Yu Lin; et al., 92i:82030 

Tartakoff, David S. see Derridj, Makhlouf, 92h:32028 

Tasmambetov, Zh. N. see Samoilenko, A. M.; et al., 92a:35040 

Triggiani, Roberto see Lasiecka, Irena, 92e:35102; 92h:35059 and 92k:35172 

Tsvetkov, E.L. see Skubachevskii, A. L., 92b:35163 

Urbas, John I. E. Boundary regularity for solutions of the equation of prescribed Gauss 
curvature. 92k:35094 

— Boundary regularity for solutions of the equation of prescribed Gauss curvature. 
92h:35083 

Varenne, J.-P. see Nadir, B., 92m:35166 

Vazquez, Juan Luis see de Pablo, Arturo, 92g:35091 

Yerchota, Gregory see Pipher, Jill, 92a:35052 

Vespri, Vincenzo see DiBenedetto, E.; et al., (92m:35003) 

Vitali, Enrico An L’-estimate for a class of quasilinear parabolic systems. (Italian. English 
summary) 92d:35050 

Wang, Lihe On the regularity theory of fully nonlinear parabolic equations. I. 92m:35126 

— On the regularity theory of fully nonlinear parabolic equations. II. 92m:35127 

Yajima, Kenji On smoothing property of Schrédinger propagators. 92¢:35060 

Yang, Jian Fu Existence and regularity for a quasilinear elliptic equation involving critical 
exponents. 92b:35065 

Yang, Xiao Ping Existence and regularity of solutions to a class of semilinear higher-order 
obstacle problems. (Chinese. English summary) 92m:35104 

Yang, Ze Jiang see Li, Cai Zhong; et al., 92k:35190 

Zegarlitiski, Bogusiaw see Rockner, Michael, 92a:35170 

Zhou, Yu Lin (with Guo, Bo Ling; Tan, Shao Bin) Existence and uniqueness of smooth 
solution for system of ferro-magnetic chain. 92i:82030 

Ziemer, William P. see Mu, Jun, 92h:35086 

Zikirov, O.S. see Dzhuraev, T. D., 92b:35106 


35B99 None of the above, but in this section 


Items with secondary classifications in 35B99 

Ishii, Hitoshi Perron’s method for monotone systems of second-order elliptic partial 
differential equations. 92h:35071 

Jolly, M.S. (with Kevrekidis, loannis G.; Titi, Edriss Saleh) Preserving dissipation in 
approximate inertial forms for the Kuramoto-Sivashinsky equation. 92b:35165 

Kevrekidis, Ioannis G. see Jolly, M. S.; et al., 92b:35165 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 560 


Naumkin, P.I. (with Shishmarév, I. A.) A problem on the decay of step-like data for the 
Korteweg-de Vries-Burgers equation. (Russian) 92f:35131 

Shishmarév, I. A. see Naumkin, P. I., 92f:35131 

Titi, Edriss Saleh see Jolly, M.S.; et al., 92b:35165 


35Cxx Representations of solutions 


Items with secondary classifications in 35Cxx 

Gronau, Detlef Partielle Differentialgleichungen im Komplexen, ein Uberblick. [Partial 
differential equations in the complex domain: a survey] (see 92m:00034) 

Rosinger, Elemer E. * Nonlinear partial differential equations. 92d:46098 


35C05 Solutions in closed form 


Abdel-Gawad, H. I. Solutions of the equation 8? f(x, t) = L(x, t) f(x, t) + S(x, t). Exact 
solutions of some partial differential equations in mechanics and physics. 92g:35040 

Grigorov, A. see Martinov, Nikolai Konstantinov; et al., 92f:35035 

Kapor, Darko V. (with Skrinjar, M.; Stojanovi¢, S.) Comment on: “Exact solutions for 
some coupled nonlinear equations. II” [J. Phys. A 23 (1990), no. 18, 4097-4105; MR 
91k:35050b] by H. B. Lan and K. L. Wang. 92m:35039 

Karachik, V. V. Construction of polynomial solutions of differential equations with 
constant coefficients. (Russian) 92b:35033 

Khokhlov, Yu. E. Exact solutions in a problem on Hele-Shaw flows. (Russian) 92i:35023 

(Lan, Hui Bin) see Kapor, Darko V.; et al., 92m:35039 

Martinov, Nikolai Konstantinov (with Ouroushev, D.; Grigorov, A.) About one superposi- 
tion of solutions of the Laplace equation. 92f:35035 

Ouroushev, D. see Martinov, Nikolai Konstantinov; et al., 92f:35035 

Rubel, Lee A. Closed-form solutions of some partial differential equations via quasi- 
solutions. I. 92h:35032 

— Closed-form solutions of some partial differential equations via quasi-solutions. II. 
92j:35022 

Skrinjar, M. see Kapor, Darko V.; et al., 92m:35039 

Stojanovi¢, S. see Kapor, Darko V.; et al., 92m:35039 

(Wang, Ke Lin) see Kapor, Darko V.; et al., 92m:35039 


Items with secondary classifications in 35C05 

Ablowitz, Mark J. (with De Lillo, S.) Forced and semiline solutions of the Burgers 
equation. 92¢:35101 

Amick, Charles J. (with Toland, J. F.) Uniqueness and related analytic properties for the 
Benjamin-Ono equation—a nonlinear Neumann problem in the plane. 92i:35099 

Andreitsev, A. Yu. Some exact solutions of the nonlinear Dirac equation. (Russian) (see 
92b:35011) 

Anikonov, Yu. E. Representations of solutions of equations with variable coefficients, and 
inverse problems. (Russian) 92m:35045 

— Formulas for solutions of some inverse problems for evolution equations. (Russian) 

Au, Chi A series of new exact solutions to the nonlinear equation y; + Yxxx — 6y7yx + 
6Ay, =0. 924:35256 

Babich, M. V. Real finite-gap solutions of the equation Au = chu. (Russian) 92k:35240 

Baldo, M. (with Grassi, Antonio; Raudino, A.) Time-dependent rototranslational diffusion 
equation with multiple mixed boundary conditions: a formally exact analytical solution. 
92m:35262 

Barannik, A. F. (with Marchenko, V. A.; Fushchich, V. I.) Reduction and exact solutions 
of nonlinear multidimensional Schrédinger equations. (Russian. English summary) 
92k:35253 

— see also Fushchich, V. 1.; et al., 92b:58249 

Barannik, L. F. Exact solutions of the multidimensional Liouville equation. (Russian) (see 
92b:35011) 

Berezkina, N.S. (with Martynov, I. P.) A system of partial differential equations. (Russian) 
92¢:35033 

Berglez, P. Zur Darstellung von Lésungen bei Systemen partieller Differentialgleichungen, 
insbesondere bei isolierten Singularitaéten. (English summary) [On the representation 
of solutions in systems of partial differential equations, in particular with isolated 
singularities] 92m:35046 

Bobula, Eugeniusz Free boundary problem for the spontaneous diffusion. 92a:35164 

Bownds, John M. (with Rizk, Tony A.) The inverse Laplace transform of an exact analytical 
solution for a BVP in groundwater theory. 92m:35201 

Carillo, Sandra see Fuchssteiner, Benno; et al., 92i:35109 

Chen, Xue Nong see He, You Sheng; et al., 92d:76018 

Chen, Yin Tong A general expression for analytic solutions to the Cauchy problem for 
systems of linear partial differential equations of order p. (Chinese) 92b:35039 

Chen, Zhi Xiong (with Guo, Ben Yu) Analytic solutions of the Nagumo equation. 
92k:35139 

Cheng, Yi! see Wang, Cun Qi; et al., 92d:35262 

Chursin, V. B. Generalizations of the problems A, and A>. (Russian) 92m:35199 

Clarkson, Peter A. New exact solutions of the Boussinesq equation. 924:35244 

De, Mrityunjoy (with Roy Chowdhury, A.) Exact solutions, deformed integrable NLS 
equation and Riemann problem. 92m:35250 

Degasperis, A. The Davey-Stewartson | equation: a class of explicit solutions including the 
special case of the dromions. (see 92a:00040) 

De Lillo, S. see Ablowitz, Mark J., 92c:35101 

Fabrikant, V. I. Mixed boundary value problem of potential theory in toroidal coordinates. 
92k:31005 

Ferapontov, E. V. (with Tsarév, S. P.) Systems of hydrodynamic type that arise in gas 
chromatography. Riemann invariants and exact solutions. (Russian. English summary) 
92m:76136 

Fokas, Athanassios S. see Santini, P. M., 92d:35274 

Fuchssteiner, Benno (with Schulze, Thorsten; Carillo, Sandra) Explicit solutions for the 
Harry Dym equation. 92i:35109 





561 1992 


Fushchich, V.1I. The symmetries and exact solutions of multidimensional nonlinear spinor 
equations. 92h:35195 

— (with Barannik, A. F.; Moskalenko, Yu. D.) Exact solutions of d’Alembert and Liouville 
equations in the pseudo-Euclidean space R22. II. (Russian. Ukrainian summary) 
92b:58249 

— (with Serov, N. I.; Repeta, V. K.) Conditional symmetry, reduction and exact solutions of 
the nonlinear wave equation. (Russian. English summary) 92h:35140 

— (with Mironyuk, P. I.) Conditional symmetry and exact solutions of an equation of 
nonlinear acoustics. (Russian) 92j:35124 

— (with Repeta, V. K.) Exact solutions of some equations of gas dynamics and nonlinear 
acoustics. (Russian. English summary) 92k:35278 

— see also Barannik, A. F.; et al., 92k:35253 

Gagnon, Langis Quelques solutions exactes a la théorie d’auto-focalisation optique obtenues 
par la méthode de réduction par symétries. [Some exact solutions to the theory of optical 
self-focusing obtained via the method of reduction by symmetries] 92g:35199 

Gandarias-Nuiiez, M. L. (with Ramirez-Labrador, J.) An exact solution of the Fokker- 
Planck equation for a potential involving Airy functions. (Spanish. English summary) (see 
92m:00052) 

Gesztesy, F. (with Holden, Helge; Saab, Elias; Simon, Barry) Explicit construction of 
solutions of the modified Kadomtsev-Petviashvili equation. 92h:35206 

Grassi, Antonio see Baldo, M.; et al., 92m:35262 

Grigorov, A. see Ouroushev, D.; et al., 92d:35257 and Martinov, Nikolai Konstantinov; et al., 
92m:35053 

Guo, Ben Yu see Chen, Zhi Xiong, 92k:35139 

Halford, W. D. see Viieg-Hulstman, M., 92g:35197 

He, You Sheng (with Lu, Chuan Jing; Chen, Xue Nong) Analytical solutions of singularities 
moving with an arbitrary path when two fluids are present. (Chinese. English summary) 
92d:76018 

Holden, Helge see Gesztesy, F.; et al., 92h:35206 

Hu, Xing Biao (with Li, Yong*®) Nonlinear superposition formulae of the Ito equation and a 
model equation for shallow water waves. 92d:35235 

Jeffrey, A. (with Mohamad, M.N. B.) Exact solutions to the KdV-Burgers’ equation. 
925:35163 

Jédar, Lucas see Legua Fernandez, Matilde, (92m:00052) 

Joshi, Nalini An explicit one-soliton solution of the (2 + 1)-dimensional generalized sine- 
Gordon equations. 92f:35130 

Kalnins, E.G. see Miller, Willard, Jr., 92f:35036 

Kamen’, V. B. Wave equation with a concentrated moving source. 92¢:35069 

Kashcheev, V. N. * SapucTHuecKHe MeTOAbI NOTy4eHHA pelieHHH HeTHHeMHBIX ypaBHeHHit 
commToHHKH. (Russian) [Heuristic methods for obtaining solutions of nonlinear equations 
of solitonics] 92g:35194 

Khapaev, A. M. see Volodin, B. A., 92g:35210 

King, John Robert Exact solutions to a nonlinear diffusion equation. 92d:35147 

Konopel'chenko, B. G. Inverse spectral transform for the (2 + 1)-dimensional Gardner 
equation. 92h:35211 

Korobeinik, Yu. F. (with Mikhailov, A. B.) Analytic solutions of the Cauchy problem. 
(Russian) 92a:35037 

Kozlov, S. M. (with Vucans, Janis) Explicit formula for effective thermoconductivity on the 
quadratic lattice structure. (French summary) 92m:35024 

Kudryashov, N. A. On types of nonlinear nonintegrable equations with exact solutions. 
92¢:35148 

Lagno, V.I. see Zhdanov, R. Z., (92b:35011) 

Legua Fernandez, Matilde (with Jédar, Lucas) Explicit solutions of mixed problems for 
coupled systems of partial differential equations. (Spanish. English summary) (see 
92m:00052) 

Leray, Jean Expressions explicites des solutions fondamentales pour le demi-plan élastique. 
(English summary) [A closed form of fundamental solution for the elastic half-plane] 
92g:35005 

Li, Yong? see Hu, Xing Biao, 924:35235 

Litvin, O. N. Exact solution of the Cauchy problem for the equation []/_9(9/dt — 
a?8?/Ax)u(x, t) = g(x, t). (Russian. English summary) 

Lu, Chuan Jing see He, You Sheng; et al., 92d:76018 

Malanyuk, T. M. A class of exact solutions of the Kadomtsev-Petviashvili equation. 
(Russian) 92j:35165 

Mal'kov, K. V. Nonselfadjoint L—A-representation for some nonlinear nonlocal problems. 
(Russian) 92¢:35151 

Marchant, T. R. (with Smyth, N. F.) Initial-boundary value problems for the Korteweg-de 
Vries equation. 92h:35213 

Marchenko, V. A. see Barannik, A. F.; et al., 92k:35253 

Markett, Clemens Initial-boundary value problems associated with a partial differential 
equation with two singular lines. 92b:35089 

Martinov, Nikolai Konstantinov (with Ouroushev, D.; Grigorov, A.) New class solutions of 
the 3-D Laplace equation. 92m:35053 

— see also Ouroushev, D.; et al., 924:35257 

Martynov, I. P. see Berezkina, N. S., 92¢:35033 

Meshcherin, I. V. Solution of a problem using Volterra integral equations of the first and 
second kind. (Russian) 92j:35111 

Mikhailov, A. B. see Korobeinik, Yu. F., 92a:35037 

Miller, Willard, Jr. (with Kalnins, E.G.) Separation of variables methods for systems of 
differential equations in mathematical physics. 92f:35036 

Mironyuk, P. 1. see Fushchich, V. I., 92j:35124 

Mohamad, M.N. B. see Jeffrey, A., 92j:35163 

Moskalenko, Yu. D. see Fushchich, V. 1.; et al., 92b:58249 

Murakami, Youichi see Tajiri, Masayoshi, 92h:35193 

Musiatek, Jan (with Pytel-Kudela, Marzenna) Biparabolic limit problem for half- 
unbounded domain and Lauricella boundary conditions. (Polish summary) 

Nikolaev, N. Ya. see Volkodavov, V. F., (92f:35003) 

Odulo, Anatoly A method of obtaining exact particular solutions of a system of two first- 
order quasilinear partial differential equations. 924:35175 

Oggioni, S. (with Spiga, Giampiero) On exact solutions to a discrete-velocity model of the 


35C_ Representations of solutions 


extended kinetic equations. 92d:82093 

Otwinowski, M. (with Paul, Reginald; Tuszyski, J. A.) Nonhomogeneous three- 
dimensional structures described by the nonlinear Klein-Gordon equation. 924:35273 

Ouroushev, D. (with Martinov, Nikolai Konstantinov; Grigorov, A.) An approach for 
solving the two-dimensional sine-Gordon equation. 92d:35257 

—— see also Martinov, Nikolai Konstantinov; et al., 92m:35053 

Papiez, Lech S. (with Sandison, George A.) A diffusion model with loss of particles. 
92:35073 

Pardasani, K. R. see Saxena, V. P.; et al. 

Paul, Reginald see Otwinowski, M.; et al., 92d:35273 

Perestyuk, N. A. see Samoilenko, A. M.; et al., 92a:35040 

Potasek, M. J. (with Tabor, M.) Exact solutions for an extended nonlinear Schrodinger 
equation. 92a:35150 

Pytel-Kudela, Marzenna see Musiaiek, Jan 

Ramirez-Labrador, J. see Gandarias-Nuiiez, M. L., (92m:00052) 

Ranger, K. B. A complex variable integration technique for the two-dimensional Navier- 
Stokes equations. 92g:35180 

Raudino, A. see Baldo, M.; et al., 92m:35262 

Repeta, V. K. see Fushchich, V. 1.; et al., 92h:35140 and 92k:35278 

Rizk, Tony A. see Bownds, John M., 92m:35201 

Roy Choudhury, S. Painlevé analysis and partial integrability of a class of reaction-diffusion 
equations. 92k:35149 

Roy Chowdhury, A. see De, Mrityunjoy, 92m:35250 

Rudykh, G. A. (with Semenov, E. I.) Application of Liouville equation to construction of 
special exact solutions for the quasilinear heat equation. (see 92i:34003) 

Saab, Elias see Gesztesy, F.; et al., 92h:35206 

Saitoh, Saburou Isometrical identities and inverse formulas in the one-dimensional heat 
equation. 92d:35120 

Samoilenko, A. M. (with Perestyuk, N. A.; Tasmambetov, Zh. N.) Solutions in finite form 
of a regular system of partial differential equations. (Russian) 92a:35040 

Sander, G. C. Exact solutions to nonlinear diffusion-convection problems on finite domains. 
92m:76130 

Sandison, George A. see Papiez, Lech S., 92f:35073 

Santini, P.M. (with Fokas, Athanassios S.) Dromions, a new manifestation in nonlinear 
phenomena. 924:35274 

Saxena, Praveen M. see Saxena, V. P.; et al. 

Saxena, V. P. (with Pardasani, K. R.; Saxena, Praveen M.) Exact solutions to temperature 
distribution problems in spherical tissue layers. 

Schulze, Thorsten see Fuchssteiner, Benno; et al., 92i:35109 

Semenov, E.I. see Rudykh, G. A., (92i:34003) 

Serov, N. I. Reduction and exact solutions for the one-dimensional Born-Infeld equation. 
(Russian. English summary) 92k:35232 

— see also Fushchich, V. 1; et al., 92h:35140 

Shishkin, G. V. (with Yasin, Mohammed Ali) Generalized Volkov problem. 92m:81036 

Shulev, K. A solution of the Navier-Stokes differential equations. (Russian and Bulgarian 
summaries) 92b:76026 

Simon, Barry see Gesztesy, F.; et al., 92h:35206 

Sirendaoerji An exact solution to a nonlinear evolution equation. (Chinese. English 
summary) 92h:35145 

Smith, S. Paul Polynomial solutions to constant coefficient differential equations. 
92:35050 

Smyth, N. F. see Marchant, T. R., 92h:35213 

Spiga, Giampiero see Oggioni, S., 92d:82093 

Sudakov, G. G. see Zubtsov, A. V., 92c:76007 

Tabor, M. see Potasek, M. J., 92a:35150 

Tajiri, Masayoshi (with Murakami, Youichi) Rational growing mode: exact solutions to the 
Boussinesq equation. 92h:35193 

Tasmambetov, Zh. N. see Samoilenko, A. M.; et al., 92a:35040 

Tippett, Michael K. (with Ziolkowski, Richard W.) A bidirectional wave transformation of 
the cold plasma equations. 92h:35124 

Toland, J. F. see Amick, Charles J., 92i:35099 

Tsarév, S. P. see Ferapontov, E. V., 92m:76136 

Tsegel/nik, V. V. A class of self-similar solutions of systems of three-wave interaction. 
(Russian. English summary) 92a:35102 

Tuszytiski, J. A. see Otwinowski, M.; et al., 92d:35273 

Urabe, Jiichiroh Meromorphic representations of the solutions of the singular Cauchy 
problem. II. 92¢:35005 

Vagapov, V. Z. The problems A; and A for the Euler-Darboux equation in rectangular 
bounded domains. (Russian) 92m:35200 

Vlieg-Hulstman, M. (with Halford, W. D.) The Korteweg-de Vries-Burgers’ equation: a 
reconstruction of exact solutions. 92g:35197 

Volkodavov, V. F. (with Nikolaev, N. Ya.) Particular solutions of an equation of hyperbolic 
type, and boundary value problems. (Russian) (see 92f:35003) 

Volodin, B. A. (with Khapaev, A. M.) Exact solution of the relativistic Klein-Gordon wave 
equation. (Russian) 92g:35210 

Vucins, Janis see Kozlov, S. M., 92m:35024 

Wang, Cun Qi (with Cheng, Yi') A new Backlund transformation for the MKdV equation 
and a class of new solutions. (Chinese) 92d:35262 

Yasin, Mohammed Ali see Shishkin, G. V., 92m:81036 

Yuan, Yi Wu Some exact solutions to heat conduction problems for variable thermal 
conductivities. (Chinese. English summary) 

Zakharov, V. E. On the dressing method. 92d:35280 

Zhdanov, R. Z. (with Lagno, V.1.) Exact solutions of the nonlinear d’Alembert equation 
that contain arbitrary functions. (Russian) (see 92b:35011) 

Ziolkowski, Richard W. see Tippett, Michael K., 92h:35124 

Zubtsov, A. V. (with Sudakov, G.G.) Asymptotic solution of the axisymmetric problem of 
ideal fluid flow in the neighborhood of cusped cavities. (Russian) 92c:76007 





35C€10 


35C10 Series solutions, expansion theorems 


Boltzev, K.S. Representation of a manifold of solutions, and boundary value problems of 
Cauchy-Dirichlet type for a fourth-order model equation with a singular line. (Russian. 
Tajiki summary) 

Dzhabirov, D. K. On the representation of a manifold of solutions in the form of series for a 
fourth-order differential equation with a singular plane. (Russian. Tajiki summary) 

Filimonov, M. Yu. On the representation of solutions of mixed problems for the nonlinear 
wave equation by special double series. (Russian) 92i:35024 

Kalnins, E.G. see Miller, Willard, Jr., 92f:35036 

Knyazev, M. A. Spectral composition of a spatially homogeneous periodic solution of the 
nonlinear wave equation. (Russian. English summary) 

Markett, Clemens (with Piingel, Jiirgen; Wallner, Herbert) Multiple power series 


PARTIAL DIFFERENTIAL EQUATIONS 1992 562 


Vafodorova, Gulpari Problems without initial conditions for a parabolic equation. (Russian. 
English and Lithuanian summaries) 92h:35092 

Vissers, F. P. L.M. (with Kamp, Leon P. J.; Sluijter, F. W.) Some generalizations of radial 
Bremmer series. 92c:78011 

Wallace, D.1. (with Wolf, Joseph A.) Observability of evolution equations for invariant 
differential operators. 92m:35108 

Wilhelmsson, H. see Jancel, R., 92d:35126 

Wolf, Joseph A. see Wallace, D. I., 92m:35108 


35C15 Integral representations of solutions of PDE 
And a, L. N. see Ivasishen, S. D., 92d:35061 





v 


tations for Riemann functions of selfadjoint equations. 92m:35040 

Miller, Willard, Jr. (with Kalnins, E.G.) Separation of variables methods for systems of 
differential equations in mathematical physics. 92f:35036 

Moiseev, E. I. Representation of the solution of the Tricomi problem in the form of a 
biorthogonal series. (Russian) 92f:35037 

Natroshvili, D.G. The method of generalized series in the anisotropic theory of elasticity. 
(Russian. English and Georgian summaries) 92d:35059 

Pingel, Jiirgen see Markett, Clemens; et al., 92m:35040 

Ryan, John Applications of Clifford analysis to axially symmetric partial differential 
equations. 924:35060 

Torres del Castillo, G. F. Solution of nonscalar equations in cylindrical coordinates. 
(Spanish summary) 92j:35023 

Wallner, Herbert see Markett, Clemens; et al., 92m:35040 


Items with secondary classifications in 35C10 

Adomian, George A. (with Rach, R.C.) A further consideration of partial solutions in the 
decomposition method. 92k:00024 

Bajpai, Shri Dhar Fourier expansions for Fox’s H-function of two variables and two- 
dimensional parabolic equations. 92m:33023 

Barclay, D. W. (with Moodie, T. B.) Isochromatic curve patterns for some wave propaga- 
tion in problems in elastic plates. (see 92a:65021) 

Conca, C. Bloch decomposition of an eigenvalue problem involving Helmholtz equation. 
92m:35193 

Dahmardah, H. O. A Fourier series solution of the Crank-Gupta equation. (see 92m:00055) 

Gérard, Raymond (with Tahara, Hidetoshi) Théoréme du type Maillet pour une classe 
d’équations aux dérivées partielles analytiques singuliéres. (English summary) [A Maillet- 
type theorem for a class of singular analytic partial differential equations] 92g:35042 

Geymonat, Giuseppe (with Grisvard, Pierre) Expansions on generalized eigenvectors of 
operators arising in the theory of elasticity. 92j:34115 

Grisvard, Pierre see Geymonat, Giuseppe, 92j:34115 

Han, Wei Min Notes on: “A separation of the variables method for solving coupled systems 
of second-order partial differential equations: exact, approximate solutions and error 
bounds” [J. Comput. Appl. Math. 31 (1990), no. 2, 243-251; MR 91f:35013] by L. Jédar. 

Hull, Andrew J. see MacCluer, C. R.; et al., 92m:76126 

Jancel, R. (with Wilhelmsson, H.) Quasi-linear parabolic equations: some properties of 
physical significance. 92d:35126 

Janssen, Hugo L. (with Lambert, Hendrik L.) Recursive construction of particular 
solutions to nonhomogeneous linear partial differential equations of elliptic type. 
92m:65164 

Jeffrey, A. (with Mohamad, M.N. B.) Exact solutions to the KdV-Burgers’ equation. 
92j:35163 

Jédar, Lucas (with Legua Fernandez, Matilde) Numerical solution of coupled systems of 
partial differential equations. (Spanish. English summary) 92g:65104 

— see also Han, Wei Min 

Kamp, Leon P. J. see Vissers, F. P. L. M.; et al., 92c:78011 

Karachik, V. V. Construction of polynomial solutions of differential equations with 
constant coefficients. (Russian) 92b:35033 

Kholodkov, A. V. see Loginov, B. V., 92c:35036 

Kichenassamy, Satyanad Breather solutions of the nonlinear wave equation. 92i:35086 

Kuzenkov, O. A. (with Plotnikov, V. I.) The Fourier method for vector equations of 
parabolic type. (Russian) 92m:35118 

Lambert, Hendrik L. see Janssen, Hugo L., 92m:65164 

Legua Fernandez, Matilde see Jédar, Lucas, 92g:65104 

Loginov, B. V. (with Kholodkov, A. V.) The Bitsadze-Samarskii problem for the Laplace 
equation with a small parameter. (Russian) 92¢:35036 

Look, D. C., Jr. Separation of variables on a triangular geometry. 92i:65160 

MacCluer, C. R. (with Radcliffe, C. J.; Hull, Andrew J.) Diagonalizing acoustic models. 
92m:76126 

Malfliet, W. Series solution of nonlinear coupled reaction-diffusion equations. 92g:35098 

Mallozzi, Lina On Dirichlet’s problem for the quasi-elliptic equation (82, — x3)?*-'u + 
(82, — x?)u =0 in x; > 0 with slowly increasing boundary condition. (Italian summary) 
92k:35081 

Mohamad, M.N. B. see Jeffrey, A., 92j:35163 

Moodie, T. B. see Barclay, D. W., (92a:65021) . 

Omar, Tarek Approximate solution of certain dual trigonometric series. (Arabic summary) 
92g:65061 

Plotnikov, V.I. see Kuzenkov, O. A., 92m:35118 

Rach, R.C. see Adomian, George A., 92k:00024 

Radcliffe, C. J. see MacCluer, C. R.; et al., 92m:76126 

Shmulev, I. I. Some well-posed problems for finding periodic solutions of evolution 
equations. (Russian) 92i:34087 

Sluijter, F. W. see Vissers, F. P. L. M.; et al., 92c:78011 

Suveika, I. V. Solution of exterior boundary value problems for an operator that reduces to 
the Helmholtz operator. (Russian) 92i:35037 

Tahara, Hidetoshi see Gérard, Raymond, 92g:35042 

Trigub, S. G. Justification of the Fourier method for solving a boundary value p 
mathematical physics with random initial conditions. (Russian) 





Betz, Cristina (with Gzyl, Henryk) Probabilistic approach to wave propagation problems. 
IV. Reflecting boundaries. 92k:35046 

Dzheldikbaev, S.S. Integral representation of the solution of a boundary value problem for 
a hyperbolic equation in a nonclassical domain. (Russian. Kazakh summary) 

Gzyl, Henryk see Betz, Cristina, 92k:35046 

Hoang Dinh Dung Integral representations of some (p, q)-wave functions and their 
application. 92¢:35045 

Ivasishen, S. D. (with Androsova, L. N.) Integral representation of solutions of a class of 
degenerate parabolic equations of Kolmogorov type. (Russian) 92d:35061 

Jentsch, Lothar Green’s contact functions for heat conduction of two half-spaces and half- 
planes with application to several boundary contact problems. 92k:35047 

Jiang, Song Local energy decay for the damped plate equation in exterior domains. 
92m:35041 

Kadirov, G. M. Integral representations of a system of differential equations of hyperbolic 
type. (Russian) (see 92d:35003) 

Khapko, R. S. Integral representation and fundamental solutions of some systems of elliptic 
equations. (Russian. English summary) 

Kipriyanov, I. A. (with Zasorin, Yu. V.) On the Green function of a two-dimensional 
problem. (Russian) 92c:35029 

Kowata, Atsutaka On the construction of spherical hyperfunctions on R?*?. 92h:35033 

Lanckau, Eberhard Bergman-Vekua operators for nonlinear equations—to begin with. (see 
92h:00020) 

— Bergman-Vekua-Operatoren fiir nichtlineare Gleichungen—ein Anfang. [Bergman-Vekua 
operators for nonlinear equations—a beginning] 92h:35034 

Lenyuk, M. P. Integral Fourier transform on a left-bounded half-axis with a conjugation 
point. (Russian) 92a:35032 

Mukhlisov, F.G. Uniqueness of the solution of a generalized problem of Dirichlet type. 
(Russian) (see 92d:35003) 

Ouchi, Sunao An integral representation of singular solutions and removable singularities of 
solutions to linear partial differential equations. 92b:35034 

Radzhabov, N. R. Integral representations and boundary value problems for some second 
order linear elliptic systems with regular and singular coefficients. (see 92d:30002) 

Rasulov, T. M. Construction of a strongly quasilinear kernel, and jump formulas for the 
corresponding potential. (Russian) 92a:35033 

— Construction of a strongly quasiregular kernel of potential for the solution of a spectral 
problem. (Russian) 92f:35038 

Sattarov, A. S. Integral representations of the solution of some degenerate equations with a 
singular line. (Russian. Tajiki summary) 924:35062 

— Integral representations and Cauchy-type problems for a fourth-order degenerate equation 
of the first kind with two singular lines. (Russian. English summary) 92h:35035 

— Integral representations and boundary value problems for a fourth-order equation with 
two singular lines. (Russian. English summary) 92h:35036 

— see also Smirnov, M. M., 92£:35039 

Selmi, Mohamed Comparaison des noyaux de Green sur les domaines C':'. [Comparison of 
Green kernels on C!:! domains] 92k:35048 

Shilinets, V. A. see Stel'mashuk, N. T., 92d:35063 

Smirnov, M. M. (with Sattarov, A. S.) Integral representations and boundary value 
problems for a fourth-order mixed-singular equation. (Russian. Tajiki summary) 
92£:35039 

Stel‘mashuk, N.T. (with Shilinets, V. A.) Construction of integral representations for some 
forms of equations in formal derivatives. (Russian) 92d:35063 

Tokibetov, Zh. A. A method for representing the solution of the generalized Cauchy- 
Riemann system. (Russian. English and Lithuanian summaries) 92j:35024 

Zasorin, Yu. V. see Kipriyanov, I. A., 92c:35029 

Zhuraev, B. B. Boundary value problems for a fourth-order equation with multiple 
characteristics in infinite domains. (Russian) (see 92m:35002) 


Items with secondary classifications in 35C15 


Abdurakhmanov, R. Some convolution operators and boundary value problems for 
equations of composite type. (Russian. Tajikisummary) 92a:35115 

Abenov, M. M. see Kim, E. I. 

Agmon, Shmuel A representation theorem for solutions of the Helmholtz equation and 
resolvent estimates for the Laplacian. 92a:35043 

Aksen’, E.M. The quasi-inversion method for some hyperbolic equations. (Russian) 
92j:35113 

Apel'tsin, V. F. On the synthesis of field scattered by a perfectly conducting obstacle. 
92g:35222 

Asadova, O. G. Solution of a mixed problem for a parabolic equation that contains powers 
of the Laplace operator in the principal part. (Russian) 92d:35132 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Nonconvex perturbations of 
evolution equations with m-dissipative operators in Banach spaces. 92h:35093 

Baranski, Feliks (with Musiatek, Jan) The limit problem for the parabolic equation of the 
fourth order. (Polish summary) 92f:35078 

Brown, Russell M. The trace of the heat kernel in domains with nonsmooth boundaries. 
(see 92m:00047) 

Chen, De Quan see Ji, Xin Hua, 92¢:35113 

Chow, Pao Liu Stochastic analysis and quasilinear parabolic equations. 92a:35022 





563 1992 


Dahiya, R.S. (with Vinayagamoorthy, M.) Laplace transform pairs of n-dimensions and 
heat conduction problem. 92g:44002 

Dassios, George (with Zafiropoulos, Filareti) Equipartition of energy in linearized 3-D 
viscoelasticity. 92e:73021 

Davis, Burgess Intrinsic ultracontractivity and probability. (see 92m:00047) 

Dzhuraev, T. D. (with Zikirov, O. S.) An equation of composite type. (Russian. Uzbek 
summary) 92b:35106 

Fabrikant, V.I. Neumann problem for an annular disk. 92h:35051 

Gilbert, R. P. (with Thejll, Peter) Solving elliptic equations in three dimensions using 
symbolic manipulation. 92k:65177 

Heersink, Rudolf Zur lokalen Existenz Greenscher Funktionen fiir elliptische Differential- 
gleichungen zweiter Ordnung mit komplexen Koeffizienten in p + 2 Variablen. [On the lo- 
cal existence of Green’s functions for elliptic differential equations of second order with 
complex coefficients in p + 2 variables] 92m:35063 

Tlolov, M. The heat equation with deviating time argument. (Russian) 92f:35141 

Ji, Xin Hua (with Chen, De Quan) A representation of the solution of the Cauchy’s prob- 
lem for a degenerate hyperbolic equation in several independent variables. 92e:35113 

Kheifits, A. I. The Riesz-Herglotz formula for generalized harmonic functions and their 
boundary behavior. (Russian) 

Kim, E.1. (with Abenov, M. M.) On the oblique derivative problem for a two-dimensional 
heat equation in a quarter-plane. (Russian) 

Kitagawa, Keiichiro Sur le principe de Duhamel. [On the Duhamel principle] 92e:35053 

Kreyszig, Erwin Bergman-Vekua theory in differential form. 92i:35030 

Lazarev, M.1. Numerical solution of boundary value probl by the potential method. 
(Russian) 

Maiecki, Romuald Estimates of the solution of the boundary value problem with a complex 
parameter for a certain elliptic system. 92i:35042 

Malyshev, Igor On the parabolic potentials in degenerate-type heat equation. 92d:35166 

Maslova, E. V. Solution of the Cauchy problem for several differential equations that 
contain the Laplace operator in a superspace. (Russian) 92b:58030 

Hiroyuki? The short time asymptotics of the traces of the heat kernels for the 

magnetic Schrédinger operators. 92e:35117 

McAvity, D. M. (with Osborn, Hugh) A DeWitt expansion of the heat kernel for manifolds 
with a boundary. 92¢:58208 

— (with Osborn, Hugh) Errata: “A DeWitt expansion of the heat kernel for manifolds with 
a boundary” [Classical Quantum Gravity 8 (1991), no. 4, 603-638; MR 92e:58208}. 

Mikhailov, L.G. On the complex analysis methods for some classes of partial differential 
equations. (see 92d:00037) 

Miller, Allen R. (with Moskowitz, Ira S.) Incomplete Weber integrals of cylindrical 
functions. 92h:33012 

Moiseev, E. I. On the solution of the Frankl’ problem in quadratures. (Russian. English 
summary) 

Mokin, Yu. I. Calculation of the Green functions for elliptic operators with discontinuous 
coefficients. (Russian) 92i:35121 

Moskowitz, Ira S. see Miller, Allen R., 92h:33012 

Mshimba, Ali Seif The Cauchy-Lebesgue integral and boundary value problems. 92k:30062 

Mukhlisov, F.G. Some conditions for the existence of the Green function for a Dirichlet- 
type problem. (Russian) (see 92d:35005) 

Musialek, Jan (with Pytel-Kudela, Marzenna) Biparabolic limit problem for half- 
unbounded domain and Lauricella boundary conditions. (Polish summary) 

— see also Baratiski, Feliks, 92f:35078 

Osborn, Hugh see McAvity, D. M., 92e:58208 

Papageorgiou, Nikolaos S. see Avgerinos, Evgenios P., 92h:35093 

Petrova, Radka I. Convolutional representation of the solution of a nonlocal boundary value 
problem for the heat equation. (Bulgarian. English and Russian summaries) 

Pfirsch, D. (with Sudan, R. N.) Green’s functions in WKB approximation. 92h:35045 

Pinchover, Yehuda Large time behavior of the heat kernel and the behavior of the Green 
function near criticality for nonsymmetric elliptic operators. 92m:35109 

Popov, I. Yu. Theory of extensions and the localization of resonances for domains of trap 
type. (Russian) 92k:47094 

Popov, N. N. (with Solodov, V. M.) An algorithm for solving evolution equations of 
parabolic type. (Russian) 92i:35058 

Pytel-Kudela, Marzenna see Musialek, Jan 

Rasulov, T. M. Solution of a mixed problem for a linearized system of equations of motion 
of viscoplastic media. (Russian) 92m:35261 

Renelt, H. An integral formula for the derivatives of solutions of certain elliptic systems. 
925:35045 

Sadowski, Antoni A Goursat problem for Mangeron polyvibrating equation in R", n > 3. 
92b:35040 

Sattarov, A.S. Solution of some boundary value problems for an equation with two singular 
lines. (Russian. English summary) 92f:35071 

Schot, Steven H. A simple solution method for the first boundary value problem of the 
polyharmonic equation. 92b:35051 

Shinkai, Kenzo (with Taniguchi, Kazuo) Fundamental solution for a degenerate hyperbolic 
operator in Gevrey classes. 92m:35184 

Solodov, V.M. see Popov, N. N., 92i:35058 

Sudan, R. N. see Pfirsch, D., 92h:35045 

Taniguchi, Kazuo see Shinkai, Kenzo, 92m:35184 

Thejll, Peter see Gilbert, R. P., 92k:65177 

Tret'yakov, P. V. Integral solutions of the wave equation and the problem of diffraction of 
an arbitrary acoustic wave by a wedge. (Russian) 92f:35113 

Tutschke, Wolfgang An elementary proof of the Hoelder continuity of the solution of 
Dirichlet boundary value problem. (see 92i:00023) 

Urinov, U. K. Problems for the general Lavrent'ev-Bitsadze equation in a doubly connected 
domain. (Russian. Uzbek summary) 92h:35157 

Vagabov, A.I. Conditions for the well-posedness of two-dimensional mixed problems for 
hyperbolic systems. (Russian) 92a:35103 

Vinayagamoorthy, M. see Dahiya, R. S., 92g:44002 

Volkov, E. A. A fast method for computing the Green function of the Laplace operator on 
polygons. (Russian) 





35C_ Representations of solutions 


(Wen, Guo Chun) see Integral equations and boundary value problems, 922:00039 

Xu, Zhen Yuan! A function theory for the operator D — A. 92b:47074 

Yang, Dan Ping Mathematical theory and error estimates of boundary integral equation 
method for linear parabolic equations. 92¢:65142 

Zafiropoulos, Filareti see Dassios, George, 92e:73021 

(Zhao, Zhen) see Integral and boundary value problems, 92a:00039 


equations 
Zikirov, O. S. see Dzhuraev, T. D., 92b:35106 


Items listed otherwise than by author 
Beijing * Integral equations and boundary value problems. 92a:00039 
Conference: 
Integral Equations and Boundary Value Problems * Integral equations and boundary 
value problems. 92a:00039 


Integral equations and boundary value problems * Integral equations and boundary value 
problems. 92a:00039 


35C20 Asymptotic expansions 


Azzam, Ali Asymptotic expansions of solutions of the first boundary value problem for 
elliptic equations near corners. 92k:35049 

Berezin, B. 1. (with Sushko, V.G.) Asymptotic expansion with respect to a small parameter 
of the solution of a problem with degeneration. (Russian) 92i:35025 

Chernyaev, P. K. Asymptotics of functionals on solutions of Dirichlet and Neumann 
problems in a domain with cuts depending on a small parameter. (Russian. English 
summary) 92h:35037 

Costabel, Martin (with Dauge, Monique) Développement asymptotique le long d’une aréte 
pour des équations elliptiques d’ordre 2 dans R>. (English summary) [Edge asymptotics 
for second-order elliptic equations in piecewise analytic domains in R>] 92a:35034 

Dauge, Monique see Costabel, Martin, 92a:35034 

Joly, Jean-Luc (with Rauch, Jeffrey) Justification of multidimensional single phase 
semilinear geometric optics. 92f:35040 

Le Floch, Philippe (with Li, Da Qian) A global asymptotic expansion for the solution to the 
generalized Riemann problem. 92c:35030 

Li, Da Qian see Le Floch, Philippe, 92c:35030 

Nazarov, S. A. Asymptotic expansion of the solution of the Dirichlet problem for an 
equation with rapidly oscillating coefficients in a rectangle. (Russian) 92h:35038 

Polishchuk, N. V. (with Sukretnyi, V. 1.) Asymptotic expansion of the solutions of the 
Dirichlet problem in punctured domains for elliptic equations with nonuniformly 
oscillating coefficients. (Russian) (see 92d:00008) 

Radkevich, E. V. Asymptotic expansions of solutions of parabolic boundary value problems 
with a free boundary. (Russian) 92¢:35046 

Rauch, Jeffrey see Joly, Jean-Luc, 92f:35040 

Sukretnyi, V.1. see Polishchuk, N. V., (92d:00008) 

Sushko, V.G. see Berezin, B. I., 92i:35025 

Zhang, Wei Tao Computation of the asymptotic expansions of a kind of nonlinear 
Neumann problems. 92f:35041 





Items with secondary classifications in 35C20 

Abduvalieva, G. K. (with Sushko, V.G.) Asymptotic representations of solutions of some 
singularly perturbed problems for equations of mixed type. (Russian) 

Adler, Jack (with Herbert, D. M.) Diffusion controlled smoulder propagation parallel to a 
plane surface. 92k:80013 

Alber, Mark S. Hyperbolic geometric asymptotics. 92k:58268 

Bourlioux, A. (with Majda, Andrew J.; Roytburd, V.) Nonlinear development of low 
frequency one-dimensional instabilities for reacting shock waves. 92f:80013 

Bulycheva, O. N. (with Vasil'eva, A. B.; Sushko, V.G.) Asymptotic expansions with respect 
to small parameters of the solutions of some problems for parabolic equations. (Russian) 
92h:35091 

Caviglia, Giacomo (with Morro, Angelo) Ray analysis of wave propagation in nonhomoge- 
neous viscoelastic fluids. 92k:76003 

Ciarlet, Philippe G. (with Le Dret, Hervé; Nzengwa, Robert) Junctions between three- 
dimensional and two-dimensional linearly elastic structures. (French summary) 
92d:73033 

Danilov, V.G. Asymptotic compactly supported solutions of degenerate quasilinear 
parabolic equations with small diffusion. (Russian) 92k:35163 

Dzhaikbaev, A. M. (with Isaev, S. A.) Asymptotic expansion of a singular boundary value 
problem for the Navier-Stokes system. (Russian) 92m:35204 

Foias, Ciprian (with Saut, Jean-Claude) Asymptotic integration of Navier-Stokes equations 
with potential forces. I. 92g:35175 

Galaktionov, V. A. (with Herrero, Miguel A.; Velazquez, Juan J. L.) The structure of 
solutions near an extinction point in a semilinear heat equation with strong absorption: 
a formal approach. (see 92m:35003) 

Giannone, Angela Some remarks on the method of high frequency asymptotic waves. 
(Italian summary) 92k:35169 

Golse, Francois Particle transport in nonhomogeneous media. (see 92a:82003) 

Gorman, Arthur D. On caustics associated with hyperbolic systems. 92m:58136 

Han, Zheng-Chao Asymptotic approach to singular solutions for nonlinear elliptic 
equations involving critical Sobolev exponent. (French summary) 92c:35047 

Herbert, D. M. see Adler, Jack, 92k:80013 

Herrero, Miguel A. see Galaktionov, V. A.; et al., (92m:35003) 

Hsiao, George C. (with Stephan, Ernst P.; Wendland, Wolfgang L.) On the Dirichlet 
problem in elasticity for a domain exterior to an arc. 92e:73010 

Ipatov, E. B. (with Lukin, D. S.; Palkin, E. A.) Maslov canonical operator in problems of 
numerical simulation of diffraction and propagation of waves in inhomogeneous media. 
92£:65120 

Isaev, S. A. see Dzhaikbaev, A. M., 92m:35204 

Kalyakin, L. A. Asymptotics of an integral that arises in the perturbation theory of KdV 
solitons. (Russian) 92m:35234 

Keller, Joseph B. (with Rubinstein, Jacob) Nonlinear wave motion in a strong potential. 
92b:35097 





35C20 


Kozlov, Vladimir Arkad‘evich Asymptotics of the Green function and Poisson kernels of 
a mixed parabolic problem in a cone. II. (Russian. English and German summaries) 
92m:35116 

Kroner, Dietmar Asymptotic expansions for a flow with a dynamic contact angle. 92a:76028 

Kurylév, Ya. V. Nonstationary Gaussian wave packets in highly dispersive active media. 
92b:35088 

Le Dret, Hervé see Ciarlet, Philippe G.; et al., 92d:73033 

Letavin, M. I. (with Mishuris, G. S.) A nonstationary temperature boundary layer in a cross 
section of a rotating cylinder. (Russian) 92k:35280 

Lin, Zong Chi Singular perturbation of the fourth order elliptic equation when the limit 
equation is elliptic-parabolic. (Chinese. English summary) 92a:35016 

Lakin, D.S. see Ipatov, E. B.; et al., 92f:65120 

Majda, Andrew J. see Bourlioux, A.; et al., 92f:80013 

Malherbe, J. A.G. see McNamara, D. A.; et al., 92m:78017 

Mafl'tseva, Zh. L. Unsteady long waves in a two-layer fluid. (Russian) 92a:76013 

McNamara, D. A. (with Pistorius, C. W. 1.; Malherbe, J. A. G.) * Introduction to the 
uniform geometrical theory of diffraction. 92m:78017 

Mishuris, G.S. see Letavin, M. I., 92k:35280 

Mo, Jia Qi A class of singularly perturbed nonlinear reaction diffusion integral-differential 
equation. (see 92a:00039) 

— Singular perturbation of initial-boundary value problems for a class of reaction diffusion 
systems. (Chinese. English summary) 92h:35106 

— Singularly perturbed elliptic partial differential equations of fourth order. (Chinese. 
English summary) 92k:35024 

Morro, Angelo see Caviglia, Giacomo, 92k:76003 

Movchan, N. V. (with Nazarov, S. A.) Asymptotics of the singularity exponents for cracks 
that are angular in a plane. (Russian. English summary) 92h:73017 

Naumkin, P.1. (with Shishmarév, I. A.) Nonlinear nonlocal equations in wave theory. II. 
A system of equations of surface waves. Asymptotics of dissipative equations. (Russian) 
92a:35092 

Nazarov, S. A. Asymptotic solution of a variational inequality that models friction. 
(Russian) 92b:35071 

— see also Movchan, N. V., 92h:73017 

Nicolas-Vullierme, B. Formal top-down derivation of “doubly asymptotic approximations”. 
(English summary) 92¢:73103 

Nzengwa, Robert see Ciarlet, Philippe G.; et al., 92d:73033 

Palkin, E. A. see Ipatov, E. B.; et al., 92f:65120 

Pistorius, C. W. I. see McNamara, D. A.; et al., 92m:78017 

Ringeisen, E. (with Sentis, R.) On the diffusion approximation of a transport process 
without time scaling. 92j:35181 

Rossmann, Jiirgen The asymptotics of the solutions of linear elliptic variational problems in 
domains with edges. (German and Russian summaries) 92j:35043 

Roytburd, V. see Bourlioux, A.; et al., 92f:80013 

Rubinstein, Jacob see Keller, Joseph B., 92b:35097 

Saut, Jean-Claude see Foias, Ciprian, 92g:35175 

Sentis, R. see Ringeisen, E., 92j:35181 

Shishmarév, I. A. see Naumkin, P. I., 92a:35092 

Soldatov, A. P. Asymptotic behavior of solutions of boundary value problems for elliptic 
systems near corner points. (Russian) 92e:35037 

Stephan, Ernst P. see Hsiao, George C.; et al., 92e:73010 

Sushko, V.G. see Bulycheva, O. N.; et al., 92h:35091 and Abduvalieva, G. K. 

Vasil'eva, A. B. see Bulycheva, O. N.; et al., 92h:35091 

Velazquez, Juan J.L. see Galaktionov, V. A.; et al., (92m:35003) 

Wendland, Wolfgang L. see Hsiao, George C.; et al., 92e:73010 

Xu, Cheng Long Asymptotic solutions to semilinear elliptic equations in unbounded 
domains. (Chinese) 92i:35048 


35C99 None of the above, but in this section 
Xu, Zhen Yuan! The dual of M;(,)(Q; Cm). 92b:35035 


Items with secondary classifications in 35C99 


Baghdasarian, A. Comments on the validity of a proposed counterexample on the method 
of decomposition. Comment on: “Adomian’s method of decomposition: critical review 
and examples of failure” [J. Comput. Appl. Math. 23 (1988), no. 3, 389-393; MR 
89k:35012] by Paul Nelson. 92g:35007 

Baratiski, Feliks (with Koronski, Jan) The limit problem for quasilinear diffusion equation 
for m-dimensional cuboid with nonlinear boundary conditions. (Polish summary) (see 
92c:00013) 

— (with Filar, Maria) The boundary value problem for Poisson’s equation, for spatial octant 
and for boundary conditions of the third kind. (Polish summary) (see 92c:00013) 

Chait, Yossi see MacCluer, C. R., 92f:35015 

Filar, Maria see Baratiski, Feliks, (92c:00013) 

(Fushchich, V.1.) see Algebra-theoretic analysis of equations in mathematical physics, 
92b:35011 

Hui, Kin Ming A Fatou theorem for the solution of the heat equation at the corner points of 
acylinder. 92m:35106 

Koronski, Jan see Baratiski, Feliks, (92c:00013) 

Kosmodem’yanskii, A. A., Jr. A theorem on the representation of the solution of the second 
boundary value problem. (Russian) 92f:35055 

MacCluer, C. R. (with Chait, Yossi) Choosing an inner product that separates variables. 
92£:35015 

Malonek, Helmuth (with Miiller, Bernd) Zur Giiltigkeit eines Satzes vom Phragmén- 
Lindeléfschen Typ fiir Lésungen einer verallgemeinerten Beltramigleichung im R”*!. [On 
the validity of a Phragmén-Lindeléf-type theorem for solutions of a generalized Beltrami 
equation in R”*+'} 92m:30087 

Miller, Bernd see Malonek, Helmuth, 92m:30087 

(Nelson, Paul, Jr.) see Baghdasarian, A., 92g:35007 

N6no, Kiyoharu On the linearization of a partial differential operator. 92j:35026 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 564 


Riprich, Wolfgang Fine operatorentheoretisch-orientierte, funktionalanalytische 
Lésuhgsmethode fiir nichtlineare, raumliche Differentialglei bl erster Ord- 
nung. (English, Russian and Georgian summaries) [An operator-theoretically oriented 
functional-analytical solution method for nonlinear spatial problems of first-order differ- 
ential equations] 





Items listed otherwise than by author 


Algebra-theoretic analysis of equations in mathematical physics * Teopetuko-anre6panyec- 
KH aHasM3 ypaBHeHH MaTeMaTHu4ecKon dbusuKu. (Russian) [Algebra-theoretic analysis of 
equations in mathematical physics] 92b:35011 


35Dxx Generalized solutions of partial differential 
equations 


Items with secondary classifications in 35Dxx 


Egorov, Yurii Viadimirovich On the theory of generalized functions. (Russian) 924:46097 
— Generalized functions and linear differential equations. (Russian) 924:46096 
Rosinger, Elemer E. * Nonlinear partial differential equations. 924:46098 


35D05 Existence of generalized solutions 


Davies, E. B. * Heat kernels and spectral theory. 92a:35035 

Ishchanov, B. Zh. Nonclosed singular sets for weak solutions of linear differential equations. 
(Russian) (see 92i:00016) 

Kato, Tosio Weak solutions of infinite-dimensional Hamiltonian systems. 924:35064 

Kuzenkov, O. A. (with Plotnikov, V. I.) Existence and uniqueness of a generalized solution 
of a linear vector equation of parabolic type in the third boundary value problem. 
(Russian) 92i:35026 

Lafon, F. (with Oberguggenberger, Michael) Generalized solutions to symmetric hyperbolic 
systems with discontinuous coefficients: the multidimensional case. 92h:35039 

Oberguggenberger, Michael see Lafon, F., 92h:35039 

Ostapenko, V. A. Generalized solutions of an initial-boundary value problem. (see 
92m:49004) 

Plotnikov, V.1. see Kuzenkov, O. A., 92i:35026 

Roitberg, Ya. A. (with Serdyuk, V. A.) Theory of solvability in generalized functions 
for elliptic problems with a parameter, for general systems of equations. (Russian) 
92a:35036 

Rosinger, Elemer E. Characterization for the solvability of nonlinear partial differential 
equations. 92f:35042 

Semerdzhieva, Rositsa I. Generalized solutions for a class of quasi-linear hyperbolic 
equations with degenerating principal parts. 

Serdyuk, V. A. see Roitberg, Ya. A., 92a:35036 


Items with secondary classifications in 35D05 


Abd El-Rady, A. S. (with El-Sherbiny, H. M.; Akll, M. S.) On asymptotic properties of 
solutions of inhomogeneous second order elliptic equations in the exterior of a bounded 
region. (Arabic summary) 92j:35039 

Aklil, M.S. see Abd El-Rady, A. S.; et al., 92j:35039 

Akulov, V. F. (with Shishkov, A. E.) Asymptotic properties of solutions of mixed problems 
for quasilinear parabolic equations in unbounded domains. (Russian) 92j:35015 

Allegretto, W. see Xie, Hong, 92m:35099 

Andreucci, Daniele (with DiBenedetto, E.) A new approach to initial traces in nonlinear 
filtration. (French summary) 92g:35089 

Angenent, Sigurd Parabolic equations for curves on surfaces. II. Intersections, blow-up and 
generalized solutions. 92b:58039 

Antontsev, S. N. (with Shmarév, S. 1.) A local energy method and vanishing of weak 
solutions of nonlinear parabolic equations. (Russian) 92g:35087 

Badiale, Marino (with Citti, Giovanna) Concentration compactness principle and 
quasilinear elliptic equations in R". 92m:35075 

Barbaszewska-Wisniowska, Anna The weak solutions of the Navier-Stokes type differential 
equation in Hilbert space. (Polish summary) 92m:34137 

Bian, Bao Jun Existence of viscosity solutions of second order fully nonlinear elliptic 
equations. 92d:35095 

Borchers, Wolfgang (with Miyakawa, Tetsuro) Algebraic L? decay for Navier-Stokes flows 
in exterior domains. 92d:35225 

Cannarsa, Piermarco (with Da Prato, Giuseppe) The vanishing viscosity method in infinite 
dimensions. (Italian summary) 92i:49046 

Capinski, Marek (with Cutland, Nigel J.) Statistical solutions of PDEs by nonstandard 
densities. 92h:35005 

Chaperon, Marc Lois de conservation et géométrie symplectique. (English summary) 
[Conservation laws and symplectic geometry] 92¢:58068 

Chen, Yun Mei Evolution problems of harmonic maps in higher dimensions. (see 
92m:35004) 

Chen, Zu Chi The first boundary value problem for strongly degenerate quasilinear 
parabolic equations. 92c:35065 

Chipot, Michel (with Kersner, Robert) On a critical threshold for nonlinear diffusion 
equations. 92k:35126 

Citti, Giovanna Existence of positive solutions of quasilinear degenerate elliptic equations 
on unbounded domains. (Italian summary) 92m:35101 

— see also Badiale, Marino, 92m:35075 

Crandall, Michael G. (with Ishii, Hitoshi; Lions, Pierre-Louis) User’s guide to viscosity 
solutions of second order partial differential equations. 92j:35050 

Cutland, Nigel J. see Capiriski, Marek, 92h:35005 

Cztapitiski, Tomasz On the existence of generalized solutions of nonlinear first order partial 
differential-functional equations in two independent variables. 92h:35228 

Da Prato, Giuseppe see Cannarsa, Piermarco, 921:49046 

DiBenedetto, £. (with Herrero, Miguel A.) Nonnegative solutions of the evolution p- 
Laplacian equation. Initial traces and Cauchy problem when | < p < 2. 92g:35088 





565 1992 


— see also Andreucci, Daniele, 92g:35089 

DiPerna, R. J. (with Lions, Pierre-Louis) Global weak solutions of kinetic equations. 
92a:35128 

Domanskii, A. V. Stabilization of generalized solutions of degenerate problems in two-phase 
filtration. (Russian) 92h:35189 

Dong, Guang Chang Viscosity solutions of the first boundary value problem for the second 
order fully nonlinear parabolic equation under natural structure conditions. 92f:35085 

Dubovskii, P. B. Generalized solutions of the coagulation equation. (Russian) 92k:45024 

Dupuis, Paul (with Ishii, Hitoshi) On oblique derivative problems for fully nonlinear 
second-order elliptic partial differential equations on nonsmooth domains. 92b:35059 

El-Sherbiny, H. M. see Abd El-Rady, A. S.; et al., 92j:35039 

Evans, L. C. (with Spruck, Joel) Motion of level sets by mean curvature. I. 92h:35097 

Filinovskii, A. V. see Muravei, L. A., 92g:35083 

Giga, Yoshikazu (with Goto, Shun’ichi; Ishii, Hitoshi; Sato, Moto-Hiko) Comparison 
principle and convexity preserving properties for singular degenerate parabolic equations 
on unbounded domains. 92h:35010 

— (with Sato, Moto-Hiko) Generalized interface evolution with the Neumann boundary 
condition. 92k:35121 

Gorodetskii, V. V. (with Zhitaryuk, I. V.) The Cauchy problem for a class of parabolic 
systems with a Bessel operator in spaces of generalized functions. (Russian. English 
summary) 92m:35119 

Goto, Shun’ichi see Giga, Yoshikazu; et al., 92h:35010 

Grebenév, V. N. On a coordinate transformation in a problem with a free boundary. 
(Russian) 92k:35295 

Guan, Ping (with Wang, Yuan Ming) Existence of weak solutions to a class of semicon- 
ductor equations under the influence of a magnetic field. (Chinese. English summary) 
92i:35119 

Herrero, Miguel A. see DiBenedetto, E., 92g:35088 

Hoffmann, Karl-Heinz' (with Niezgodka, Marek; Zheng, Song Mu) Existence and 
uniqueness of global solutions to an extended model of the dynamical developments in 
shape memory alloys. 92e:73003 

Hu, Jia Xin Existence of weak solutions to single balance law equations. (Chinese) 
92¢:35076 

Hulshof, Josephus Similarity solutions of the porous medium equation with sign changes. 
92£:35082 

Ishii, Hitoshi (with Koike, Shigeaki) Viscosity solutions for monotone systems of second- 
order elliptic PDEs. 92h:35066 

— (with Koike, Shigeaki) Viscosity solutions of a system of nonlinear second-order elliptic 
PDEs arising in switching games. 92h:35067 

— see also Dupuis, Paul, 92b:35059; Giga, Yoshikazu; et al., 92h:35010 and Crandall, 
Michael G.; et al., 92j:35050 

Kersner, Robert see Chipot, Michel, 92k:35126 

Khe Kan Cher Estimation of the solutions of Darboux-Protter problems for the two- 
dimensional wave equation. (Russian) 92m:35154a 

— Erratum: “Estimation of the solutions of Darboux-Protter problems for the two- 
dimensional wave equation”. (Russian) 92m:35154b 

Koike, Shigeaki see Ishii, Hitoshi, 92h:35066 and 92h:35067 

Kozono, Hideo (with Ogawa, Takayoshi; Sohr, Hermann) Asymptotic behaviour in L’ for 
weak solutions of the Navier-Stokes equations in exterior domains. 92k:35220 

Kruzhkov, S. N. (with Panov, E. Yu.) First-order conservative quasilinear laws with an 
infinite domain of dependence on the initial data. (Russian) 92m:35172 

Kurta, V. V. Qualitative properties of solutions of some classes of second-order quasilinear 
elliptic equations. (Russian. English summary) 92b:35014 

Kuzenkov, O. A. (with Plotnikov, V. 1.) The Fourier method for vector equations of 
parabolic type. (Russian) 92m:35118 

Lenhart, Suzanne M. (with Yamada, Naoki) Perron’s method for viscosity solutions 
associated with piecewise-deterministic processes. 92i:35136 

Li, Jun Jie* Initial value problems for a family of degenerate quasilinear parabolic systems 
of equations. (Chinese. English summary) 92k:35125 

Liang, Xi Ting The boundedness for generalized solutions of quasilinear elliptic equations. 
92i:35018 

Lions, Pierre-Louis see DiPerna, R. J.,92a:35128 and Crandall, Michael G.; et al., 92j:35050 

Lopushans’ka, G. P. An approach to the study of boundary value problems in spaces 
of distributions, and boundary integral equations. (Russian. Ukrainian summary) 
92j:35030 

Marchioni, Giovanna Solvability in Gevrey spaces of convolution equations. (Italian. 
English summary) 92m:46054 

Matarazzo, Giovanni A uniqueness theorem for a nonlinear hyperbolic equation. (Italian. 
English summary) 92m:35179 

Milota, Jaroslav Mathematical description of viscoelasticity. (see 92m:35004) 

Miyakawa, Tetsuro see Borchers, Wolfgang, 92d:35225 

Morimoto, Hiroko On nonstationary Boussinesq equations. 92k:35230 

Muravei, L. A. (with Filinovskii, A. V.) A parabolic boundary value problem. (Russian) 
92g:35083 

Naumann, Joachim On the existence of weak solutions of the stationary semiconductor 
equations with velocity saturation. 92m:35094 

— (with Wolff, Michael) A uniqueness theorem for weak solutions of the stationary 
semiconductor equations. 92k:35275 

Niezgédka, Marek see Hoffmann, Karl-Heinz'; et al., 92e:73003 

Nosov, V. A. (with Pugach, M. I.) A class of generalized solutions and a solution of 
boundary value problems for equations that are degenerate on a part of the boundary of 
the domain. (Russian) (see 92d:35005) 

Oberguggenberger, Michael Semilinear wave equations with rough initial data: generalized 
solutions. 92f:35104 

Ogawa, Takayoshi (with Ozawa, Tohru) Trudinger type inequalities and uniqueness of 
weak solutions for the nonlinear Schrédinger mixed problem. 92a:35147 

— see also Kozono, Hideo; et al., 92k:35220 

Ozawa, Tohru see Ogawa, Takayoshi, 92a:35147 

Panov, E. Yu. see Kruzhkov, S. N., 92m:35172 

Peng, Yue Jun Probléme de Cauchy pour la dynamique des gaz. (English summary) [Cauchy 





35D Generalized solutions of partial differential equations 


problem for gas dynamics] 92m:35264 

Plotnikov, V. I. see Kuzenkov, O. A., 92m:35118 

Pugach, M. I. see Nosov, V. A., (92d:35005) 

Rakotoson, Jean-Michel Equations et inéquations avec des données mesures. (English 
summary) [Equations and inequalities with measures as data] 92m:35103 

Sacks, Paul E. Behavior near ¢ = 0 for solutions of the Dirichlet problem for u, = Ag(u) — 
f(u) in bounded domains. 924:35158 

Samokhin, V. N. On a system of equations in the magnetohydrody 
viscous media. (Russian) 92g:35216 

Sato, Moto-Hiko see Giga, Yoshikazu; et al., 92h:35010 and 92k:35121 

Seleznev, S. G. see Shutyaev, V. P., 92h:35131 

Shishkov, A. E. see Akulov, V. F., 92j:35015 

Shmarév, S. I. see Antontsev, S. N., 92g:35087 

Shutyaev, V. P. (with Seleznev, S.G.) * Ksasununettunie auddepenumanbubie ypaBHeHHa B 
4aCTHBIX NPOHSBOAHBIX H HX IIPHJIOXKCHHA B 3alayax MaTeMaTH4eCKON usuKu. (Russian) 
(Quasilinear partial differential equations and their applications in problems of 
mathematical physics] 92h:35131 

— Justification of perturbation algorithm for weakly nonlinear elliptic second-order 
boundary value problem. 92h:35082 

Singh, Kumud Nonlinear elliptic systems in unbounded domain with quadratic growth 
conditions. 92a:35054 

Sklobovskii, N. K. (with Tupchiev, V. A.) Functional solutions to conservation laws, and 
difference schemes. (Russian. English summary) 92k:35183 

Slemrod, Marshall Dynamics of measure valued solutions to a backward-forward heat 
equation. 92m:35124 

Smiley, Michael W. Breathers for nonlinear wave equations. (Italian summary) 92m:35182 

Sohr, Hermann see Kozono, Hideo; et al., 92k:35220 

Spruck, Joel see Evans, L. C., 92h:35097 

Su, Ning An elliptic-parabolic system arising from the fluid-solute-heat flow through 
saturated porous media. 92f:76087 

Ts’ai, Lung I Nonlinear elliptic equations in unbounded domains. 924:35110 

Tupchiev, V. A. see Sklobovskii, N. K., 92k:35183 

Vespri, Vincenzo Analytic semigroups generated by ultraweak operators. 92j:47074 

Wang, Chuan Fang (with Xue, Ru Ying) Nontrivial solutions for some semilinear elliptic 
equations with critical Sobolev exponents. 92i:35054 

Wang, Yuan Ming see Guan, Ping; et al., 92i:35119 

Wolff, Michael see Naumann, Joachim, 92k:35275 

Xie, Hong (with Allegretto, W.) C*(Q) solutions of a class of nonlinear degenerate elliptic 
systems arising in the thermistor problem. 92m:35099 

Xie, Wei Qiang Generalized solutions to a class of noniinear elliptic equations. (Chinese. 
English summary) 

Xu, Hai Xiang Existence and blow-up of global weak solutions to systems of hyperlinear 
evolution equations. (Chinese. English summary) 92k:35179 

Xue, Ru Ying see Wang, Chuan Fang; et al., 92i:35054 

Yamada, Naoki see Lenhart, Suzanne M., 92i:35136 

Yin, Jing Xue The property of finite speed of propagation of generalized solutions to 
nonlinear diffusion equations. (Chinese) 92h:35112 

— The compensated compactness method applied to quasilinear parabolic equations of 
higher order with doubly strong degeneration. 92k:35124 

Zeman, Juraj On existence of the weak solution for nonlinear diffusion equation. (Slovak 
summary) 92a:35093 

Zheng, Song Mu see Hoffmann, Karl-Heinz'; et al., 92e:73003 

Zhitaryuk, I. V. see Gorodetskii, V. V., 92m:35119 

Zhou, Bao Xi see Zhou, Yu Lin; et al., 92f:35094 

Zhou, Yu Lin (with Zhou, Bao Xi) On a quasilinear degenerate equation of fifth order. 
(Chinese. English summary) 92£:35094 





ics of nonlinearly 


35D10 Regularity of generalized solutions 


Chen, Bao Yao see He, Xu Dong; et al., 92f:35043 

He, Xu Dong (with Chen, Bao Yao) Regularity of H'  L"’-'/2-” weak solutions for 
nonlinear elliptic systems. 92f:35043 

Jakobowsky, Norbert On interior and boundary regularity of weak solutions to a certain 
quasilinear elliptic system. 92m:35042 

Jian, Huai Yu “Quasi-ellipticity” conditions and partial regularity of systems of nonlinear 
partial differential equations of second order. (Chinese summary) 92b:35036 

Leonetti, Francesco An integral estimate for weak solutions to some quasilinear elliptic 
systems. 92i:35027 


‘Li, Sheng Hong The Hélder continuity of solutions to general quasilinear weakly elliptic 


systems of equations of divergence type. (Chinese. English summary) 924:35065 

Liang, Xi Ting Boundary Holder continuity of generalized solutions to diagonal nonuni- 
formly elliptic systems. (Chinese. English summary) 92i:35028 

Lin, Chang Hao The C'! regularity of weak solutions to a class of nonlinear elliptic systems 
of equations. (Chinese. English summary) 92j:35025 

Mekh, I. Ya. On the smoothness of weak solutions of systems that are elliptic in the sense of 
Douglis and Nirenberg. (Russian. Ukrainian summary) 92k:35050 

Nakai, Mitsuru Continuity of solutions of Schrédinger equations. 92g:35041 

Tutschke, Wolfgang The Weyl lemma. 92k:35051 


Items with secondary classifications in 35D10 

Arefev, V. N. On the smoothness of solutions of second-order hyperbolic equations with 
discontinuous coefficients. (Russian) 92g:35217 

Bagirov, L. A. On the regularity of generalized solutions of a higher-order parabolic 
equation. (Russian) 92d:35131 

Bao, Gang (with Symes, William W.) A trace theorem for solutions of linear partial 
differential equations. 92h:35031 

Belingeri, C. A Cauchy problem for a parabolic equation in spaces of ultradistributions. 
(Italian. English summary) 92b:35073 

Betta, Maria Francesca (with Mercaldo, Anna) Existence and regularity results for a 
nonlinear elliptic equation. 92j:35061 





35D10 


Borsuk, M. V. Behavior of generalized solutions of the Dirichlet problem for second- 
order quasilinear elliptic equations of divergence type near a conical point. (Russian) 
924:35089 

Chen, Bao Yao see Lou, Zhuo Ming; et al., 92k:35113 

Chen, Zu Chi see Qian, Chun Lin; et al., 92d:35115 

Danétek, J. On the interior regularity of weak solutions to nonlinear elliptic systems of 
second order. (German and Russian summaries) 92j:35019 

Debbaj, Omar Régularité L’ des problémes aux limites de type Hermite et Tricomi. [L?- 
regularity of Hermite and Tricomi boundary value problems] 924:35056 

De Vescovi, Andrea Study of a relaxed degenerate Dirichlet problem. 924:35113 

DiBenedetto, E. Local regularity and extinction free boundary for a singular parabolic 
equation. 92b:35175 

Di Fazio, Giuseppe Poisson equations and Morrey spaces. 92k:35074 

Fattorusso, Luisa A differentiability result for nonlinear parabolic systems under mono- 
tonicity conditions. (Italian. English summary) 92f:35081 

Gianazza, Ugo Wiener points and energy decay for a relaxed Dirichlet problem relative to a 
degenerate elliptic operator. 92d:35114 

Gramchev, Todor Powers of Mizohata type operators in Gevrey classes. (Italian summary) 
924:35072 

Ivanov, Aleksandr Vasil‘evich Regularity of generalized solutions of second-order quasilin- 
ear degenerate parabolic systems. (Russian) 92f:35092 

Kalita, E. A. Regularity of a boundary point for second-order quasilinear elliptic systems. 
(Russian. Ukrainian summary) 924:35091 

Kapitanskii, L.V. The Cauchy problem for the semilinear wave equation. III. (Russian. 
English summary) 92d:35200 

Kenmochi, Nobuyuki Asymptotic stability for nonlinear degenerate parabolic equations with 
Neumann boundary conditions. 924:35164 

Koike, Shigeaki On the rate of convergence of solutions in singular perturbation problems. 
92k:35022 

Leonetti, Francesco On the regularity of weak solutions to nonlinear elliptic systems. 
92e:35066 

Li, Gong Bao see Yan, Shu Sen; et al. 

Liang, Xi Ting The everywhere Hélder continuity of generalized solutions to quasilinear 
degenerate elliptic systems in diagonal form. (Chinese) 

— see also Wang, Xiang Dong; et al., 92¢:35043 

Lou, Zhuo Ming (with Chen, Bao Yao) Everywhere regularity for weak solutions to 
variational inequalities of triangular form. 92k:35113 

La, Li Jiang Monge-Ampére equations on the nonstrict convex domains. 924:35106 

Lunardi, Alessandra (with Vespri, Vincenzo) Hdlder regularity in variational parabolic 
nonhomogeneous equations. 92j:35021 

Marcellini, Paolo Regularity and existence of solutions of elliptic equations with p, g- 
growth conditions. 92¢:35061 

Mendoza, Gerardo A. Solvability of partial differential equations. (Spanish) 92i:35002 

Mercaldo, Anna see Betta, Maria Francesca, 92j:35061 

Mysovskikh, P. I. Generalized solutions of some degenerate equations of parabolic type. 
(Russian) 92d:35287 

Nakai, Mitsuru Continuity of solutions of Schrodinger equations. 92g:35041 

Nourrigat, J. Systémes sous-elliptiques. II. [Subelliptic systems. II] 92f:35048 

Qian, Chun Lin (with Chen, Zu Chi) Local regularity of generalized solutions in W'” toa 
class of degenerate elliptic equations. (Chinese) 92d:35115 

Rakotoson, Jean-Michel Quasilinear equations and spaces of Campanato-Morrey type. 
92k:35045 

Stahel, Andreas Existence and uniqueness of solutions to degenerate semilinear parabolic 
equations. 92g:35112 

Symes, William W. see Bao, Gang, 92h:35031 

Vespri, Vincenzo see Lunardi, Alessandra, 92j:35021 

Vieira, Maria Cristina de Campos Hidden regularity for a coupled system of nonlinear 
hyperbolic equations. 92j:35118 

Wang, Xiang Dong (with Liang, Xi Ting) Boundedness of generalized solutions to a class of 
elliptic equations. (Chinese. English summary) 92¢:35043 

Wirsching, Giinther A theorem on global regularity of solutions of a singular elliptic 
equation. 92g:35039 

Xu, Xiang Sheng Existence and regularity theorems for a free boundary problem governing 
a simple climate model. 92h:35248 

— On the regularity of weak solutions of a one-dimensional two-phase degenerate Stefan 
problem with convection. 92¢:35129 

— A diffusion problem involving two free boundaries. 92h:35249 

Yan, Shu Sen (with Li, Gong Bao) Partial regularity for weak solutions of quasilinear 
elliptic systems. 





35D99 None of the above, but in this section 


Items with secondary classifications in 35D99 

Anita, Sebastian? Existence and uniqueness for the population dynamics with nonlinear 
diffusion. 92g:35101 

Berdimuratov, A.M. Continuation of generalized solutions of systems of differential 
equations that are defined in a neighborhood of several characteristic subspaces. (Russian. 
Tajiki summary) 92e:35049 

Gupalo, A.S. (with Lopushans’ka, G. P.) Generalized boundary values of the solution of a 
second-order homogeneous parabolic equation. (Russian) 92b:35074 

Ivanov, Aleksandr Vasil‘evich Hélder estimates near the boundary for generalized solutions 
of quasilinear parabolic equations that admit double degeneration. (Russian. English 
summary) 92k:35165 

Lopushans‘ka, G. P. see Gupalo, A. S., 92b:35074 

Stankovi¢, Bogoljub S-asymptotic of solutions of the elliptic partial differential equation. 
(Serbo-Croatian summary) 92a:35026 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 566 


35Exx Equations and systems with constant coefficients 
[see also 35N05] 


35E05 Fundamental solutions 


Heise, Ulrich Singular and fundamental solutions to potential and elasticity problems for a 
Riemann surface. 92c:35031 

Rosay, Jean-Pierre A very elementary proof of the Malgrange-Ehrenpreis theorem. 
92¢:35047 


Items with secondary classifications in 35E05 


Bragg, L. R. Transmutations and ascent. 92m:35010 

Chang, Liang Ming (with Du, Qing Hua) Establishing fundamental solutions by using 
differential operator theory. (Chinese. English summary) 924:35011 

Du, Qing Hua see Chang, Liang Ming; et al., 92d:35011 

Karachik, V. V. Construction of polynomial solutions of differential equations with 
constant coefficients. (Russian) 92b:35033 

Mantlik, Frank Partial differential operators depending analytically on a parameter. 
(French summary) 92m:35026 


35E10 Convexity properties 


Items with secondary classifications in 35E10 
Schapira, Pierre Operations on constructible functions. 92h:32012 


35E15 Initial value problems 


Carvalho e Silva, Jaime M. M. About the necessity of a sufficient condition for the C®-well- 
posedness of a Goursat problem. (see 92g:00024) 

Korobeinik, Yu. F. (with Mikhailov, A. B.) Analytic solutions of the Cauchy problem. 
(Russian) 92a:35037 

Mikhailov, A. B. see Korobeinik, Yu. F., 92a:35037 

Zhamalov, R.S. The oblique derivative problem for some third-order equations. (Russian) 
92e:35048 

— The second initial-boundary value problem for an evolution equation. (Russian) (see 
92d:00011) 


Items with secondary classifications in 35E15 

Ashino, Ryuichi On the weak admissibility of singular perturbations in Cauchy problems. 
92a:35014 

Gindikin, S.G. see Volevich, L. R., 92i:35001 

Volevich, L. R. (with Gindikin, S.G.) The Cauchy problem. (Russian) 92i:35001 


35E20 General theory 


Berdimuratov, A.M. Continuation of generalized solutions of systems of differential 
equations that are defined in a neighborhood of several characteristic subspaces. (Russian. 
Tajikisummary) 92e:35049 

Chikhanov, Kh. A. On the solution of boundary value problems for elliptic equations with 
constant coefficients in finite domains. (Russian) (see 92d:35003) 

Dahmen, Wolfgang (with Micchelli, Charles A.) Local dimension of piecewise polynomial 
spaces, syzygies, and solutions of systems of partial differential equations. 92i:35029 

Gai, Bing Zheng A theorem on the construction of general solutions to linear partial 
differential equations with constant coefficients and its application to mechanical 
problems. (Chinese. English summary) 

Micchelli, Charles A. see Dahmen, Wolfgang, 92i:35029 

Néno, Kiyoharu Characterization of linearizations of a differential operator of second order 
and function theory. 92m:35043 

— On the linearization of a partial differential operator. 92j:35026 

Oshorov, B. B. On the uniqueness of the solution of some boundary value probl fora 
system of Bitsadze equations. (Russian) (see 92d:00011) 

Pletner, Yu. D. Properties of the solutions of equations that are analogous to the two- 
dimensional Sobolev equation. (Russian) 92k:35052 

Ramm, A. G. Necessary and sufficient condition for 7 to have property C. 92a:35038 

Smith, S. Paul Polynomial solutions to constant coefficient differential equations. 
92e:35050 

Tovmasyan, N. E. Boundary value problems for inexplicitly elliptic equations in the 
halfplane. (see 92h:00020) 





Items with secondary classifications in 35E20 


Albrecht, Ernst (with Ricker, Werner J.) Local spectral properties of constant coefficient 
differential operators in L?(R”). 92b:47048 

Dzhuraev, T. D. (with Popiolek, Jan) Classification and reduction to canonical form of 
third-order partial differential equations. (Russian) 92m:35047 

von Grudzinski, Olaf * Quasihomogeneous distributions. 92g:46038 

Hieber, Matthias Integrated semigroups and the Cauchy problem for systems in L? spaces. 
92j:47070 

Khesin, B. A. Singularities of light hypersurfaces and structure of hyperbolicity sets for 
systems of partial differential equations. 92¢:58145 

Kolesnik, A. D. Lie symmetries of the equation of Markov random evolution in the plane. 
(Russian) 92k:35304 

Kral, Josef Hausdorff measures and removable singularities of solutions of partial 
differential equations. (Czech) 92j:35004 

Lu, Zheng Yi The inverse problem for Asgeirsson’s mean value equality. (Chinese 
summary) 92g:35017 

Meise, Reinhold (with Taylor, B. A.; Vogt, Dietmar) Characterization of the linear partial 
differential operators with constant coefficients that admit a continuous linear right 
inverse. (French summary) 92¢:46083 





567 1992 


Nacinovich, Mauro Cauchy problem for overdetermined systems. (Italian summary) 
92a:35117 

Oberst, Ulrich Multidimensional constant linear systems. 92f:93007 

Pleshchinskaya, I. E. Method of potential equations in the theory of systems of the first- 
order linear partial-differential equations. (see 92h:00020) 

Popiolek, Jan see Dzhuraev, T. D., 92m:35047 

Ricker, Werner J. see Albrecht, Ernst, 92b:47048 

Sabitov, K. B. Maximum modulus principles for some classes of second-order elliptic and 
hyperbolic systems. (Russian) 92a:35030 

Tarkhanov, N. N. * Metoy napametpukca B Teopun AuddepeHMaNbHBIX KOMIICKCOB. 
(Russian) [The parametrix method in the theory of differential complexes] 92j:58100 

Taylor, B. A. see Meise, Reinhold; et al., 92¢:46083 

Virabyan, G. V. Operator pencils generated by the Poincaré problem. (Russian. English and 
Armenian summaries) 92m:47098 

Vogt, Dietmar see Meise, Reinhold; et al., 92¢:46083 

Wada, Ryoko A uniqueness set for linear partial differential operators with real coefficients. 
92h:32021 

Zaretskaya, M. A. On the spectrum of quadratic operators that are different from normal 
ones. (Russian) 92b:35110 


35E99 None of the above, but in this section 


Items with secondary classifications in 35E99 
Xu, Zhen Yuan! The dual of M,(,)(Q; Cm). 92b:35035 


35Fxx General first-order equations and systems 


35F05 General theory of linear first-order PDE 


Bojarski, Bogdan Old and new on Beltrami equations. (see 92i:00023) 

Gérard, Raymond (with Tahara, Hidetoshi) Théoréme du type Maillet pour une classe 
d’équations aux dérivées partielles analytiques singuliéres. (English summary) [A Maillet- 
type theorem for a class of singular analytic partial differential equations] 92g:35042 

Hounie, Jorge Local solvability of first order linear operators with Lipschitz coefficients. 
92d:35066 

Kreyszig, Erwin Bergman-Vekua theory in differential form. 92i:35030 

Salekhova, I. G. Some boundary value problems for a plane with a countable set of 
periodically distributed cracks. (Russian) (see 92:00016) 

Szigeti, F. On the stability problems of first order partial differential equations. 92h:35040 

Tahara, Hidetoshi see Gérard, Raymond, 92g:35042 

Tazhimuratov, I. T. On the reducibility of systems of first-order linear partial differential 
equations with identical principal parts. (Russian) 

Wen, Guo Chun Clifford analysis and elliptic systems, hyperbolic systems of first order 
equations. (see 92a:00039) 

Zaubov, V.I. Vortex surfaces. (Russian) 


Items with secondary classifications in 35F05 


Andreev, A. A. (with Chadaev, V. V.) A boundary value problem for a system of first-order 
equations with distributed parameters. (Russian) (see 92f:35003) 

Bairamov, F. D. see Sirazetdinov, T. K., 92d:35317 

Bartak, Jaroslav (with Vejvoda, Otto) Periodic solutions to linear partial differential 
equations of the first order. 92d:35036 

Chadaev, V. V. see Andreev, A. A., (92£:35003) 

Chardin, Marc Differential resultants and subresultants. (see 92g:68007) 

Chirkunov, Yu. A. Group classification of systems of first-order linear differential equations 
with two unknown functions in two variables. (Russian) 924:35019 

Dadiomov, V.M. On spaces generated by the zeros of the symbol of some singular integral 
equations. (Russian) 92e:47086 

Duffin, Richard J. Reexamination of Ohm’s law and a relation to generalized analytic 
functions. 92i:78025 

Fokas, Athanassios S. see Sung, Li-Yeng, 92i:35126 

Nishimoto, Katsuyuki * Fractional calculus. Vol. IV. 92j:26008 

Nixon, J. H. Application of Lie groups and differentiable manifolds to general methods for 
simplifying systems of partial differential equations. 92¢:35017 

Pfirsch, D. (with Sudan, R. N.) Green’s functions in WKB approximation. 92h:35045 

Safarov, D.S. Doubly periodic generalized analytic functions. (Russian) 92h:30088 

Sirazetdinov, T. K. (with Bairamov, F. D.) Stability and an estimate for the transient in 
systems with distributed parameters. (Russian. English summary) 924:35317 

Straubel, Klaus-Peter A note on some monogenicity criterions arising in Clifford analysis. 
92g:30044 

Subbotin, A. I. Existence and uniqueness results for Hamilton-Jacobi equations. 92¢:49008 

Sudan, R. N. see Pfirsch, D., 92h:35045 

Sung, Li-Yeng (with Fokas, Athanassios S.) Inverse problems in multidimensions. 
92i:35126 

Vaillant, Jean Léon Conditions d’hyperbolicité des systé¢mes. (English summary) [Hyperbol- 
icity conditions for systems of linear partial differential operators] 92h:35125 

Vejvoda, Otto see Bartak, Jaroslav, 92d:35036 





35F10 Initial value problems for linear first-order PDE, linear 
evolution equations 
Zhestkov, S. V. Exponential stability of the Cauchy problem for linear partial differential 
systems. (Russian) 
Items with secondary classifications in 35F10 


De Simon, Luciano (with Torelli, Giovanni) The Cauchy problem for a class of linear 
partial differential equations with discontinuous coefficients. (Italian. English summary) 
92g:35218 


35F General first-order equations and systems 


35F20 


Dzhuraev, A. D. The Cauchy problem for nohomogeneous Cauchy-Riemann systems. 
(Russian) 92m:30086 

Hieber, Matthias Laplace transforms and a-times integrated semigroups. 92k:47075 

Torelli, Giovanni see De Simon, Luciano, 92g:35218 


35F15 Boundary value problems for linear first-order PDE 


Huang, Sha (with Li, Sheng Xun) On oblique derivative problem for generalized regular 
functions with values in a real Clifford algebra. (see 92a:00039) 

Li, Sheng Xun see Huang, Sha, (92a:00039) 

Matveeva, I. 1. Boundary value problems for the S. L. Sobolev system. (Russian) (see 
92c:00016) 

Stern, I. Boundary value probl 
92k:35053 

Vinogradov, V.S. On boundary value problems for spinor systems. 92h:35041 

Zhao, Zhen Boundary value p for complex elliptic equations on the plane and 
singular integral equation of composite type. 92b:35037 





for generalized Cauchy-Riemann systems in the space. 





Items with secondary classifications in 35F15 

Chang, Ching-Lung Finite element approximation for grad-div type systems in the plane. 
92k:65159 

Dzhuraev, A. D. On Cauchy and Schwarz problems for elliptic systems. 92b:30046 

Fernandes, Teresa Monteiro Formulation des valeurs au bord pour les syst¢mes reguliers. 
[Boundary value formulation for regular systems] 92k:58261 

Pilant, Michael (with Rundell, William) Age structured population dynamics. (see 
92a:00040) 

Rundell, William see Pilant, Michael, (92a:00040) 


35F20 General theory of nonlinear first-order PDE 


Badiale, Marino (with Bardi, Martino) Symmetry properties of solutions of Hamilton- 
Jacobi equations without uniqueness. 924:35067 

Bardi, Martino see Badiale, Marino, 924:35067 

Barles, G. Uniqueness and regularity results for first-order Hamilton-Jacobi equations. 
92b:35038 

Bruckner, A. M. (with Petruska, Gyérgy; Preiss, David; Thomson, Brian S.) The equation 
UxUy = 0 factors. 92h:35042 

Crandall, Michael G. (with Lions, Pierre-Louis) Viscosity solutions of Hamilton-Jacobi 
equations in infinite dimensions. V. Unbounded linear terms and B-continuous solutions. 
92g:35043 

Diaz, Gregorio Boundaries of positivity in Hamilton-Jacobi equations with monotonic 
perturbations. (Spanish) 92d:35068 

Hijab, Omar Infinite-dimensional Hamilton-Jacobi equations with large zeroth-order 
coefficient. 92m:35044 

Ikramov, Kh. D. A bi-orthogonal algorithm as a Lanczos method in a metric of nonfixed 
sign. (Russian) 

Isakov, Victor Completeness of products of solutions and some inverse problems for PDE. 
92g:35044 

Krasil/nikov, P.S. Generalized spaces of germs of smooth solutions of a first-order equation 
and their connection with the direct Lyapunov method. (Russian) 924:35069 

Lions, Pierre-Louis see Crandall, Michael G., 92g:35043 

Métivier, Guy Ondes soniques. [Sound waves] 92g:35045 

Nazaikinskii, V. E. (with Sternin, B. Yu.; Shatalov, V. E.) Local solvability of differential 
equations in spaces of multivalued analytic functions. (Russian) 92j:35027 

Petruska, Gyorgy see Bruckner, A. M.; et al., 92h:35042 

Preiss, David see Bruckner, A. M.; et al., 92h:35042 

Riprich, Wolfgang Complex forms of partial differential equations. (see 92i:00023) 

Shatalov, V. E. see Nazaikinskii, V. E.; et al., 92j:35027 

Sternin, B. Yu. see Nazaikinskii, V. E.; et al., 92j:35027 

Thomson, Brian S. see Bruckner, A. M.; et al., 92h:35042 

Wang, Zhi Hong Reduction enumeration and the Hamiltonian structure of reduced 
equations. (Chinese. English summary) 92e:35051 


Items with secondary classifications in 35F20 

Attia Hussein, Hassan (with El-Fiky, Ahmed S.) Estimating the exponential growth of the 
solution of certain linear partial differential equations. 92a:35158 

Barannik, A. F. On a connection between the Hamilton-Jacobi and the eikonal equation. 
(Russian) (see 92b:35011) 

Begehr, Heinrich G. W. (with Wen, Guo Chun; Zhao, Zhen) An initial and boundary value 
problem for nonlinear composite type systems of three equations. (see 92a:00039) 

Brandi, Primo (with Kamont, Zdzislaw; Salvadori, Anna) Approximate solutions of mixed 
problems for first order partial differential-functional equations. 92e:35165 

Cannarsa, Piermarco (with Gozzi, Fausto; Soner, Halil Mete) Ab y value p 
for Hamilton-Jacobi equations in Hilbert spaces. 92h:49029 

Craik, A.D. D. see McDougall, S. R., 92a:76014 

Cziapitiski, Tomasz On the existence of generalized solutions of nonlinear first order partial 
differential-functional equations in two independent variables. 92h:35228 

El-Fiky, Ahmed S. see Attia Hussein, Hassan, 92a:35158 

Ge, Zhong Equivariant symplectic difference schemes and generating functions. 92h:58068 

Gérard, Raymond (with Tahara, Hidetoshi) Holomorphic and singular solutions of 
nonlinear singular first order partial differential equations. 92b:35008 

Gonzalez, Roberto L. V. (with Tidball, Mabel M.) Sur l’ordre de convergence des solutions 
discrétisées en temps et en espace de l’équation de Hamilton-Jacobi. (English summary) 
[On the rates of convergence of fully discrete solutions of Hamilton-Jacobi equations] 
92k:35033 

Gozzi, Fausto see Cannarsa, Piermarco; et al., 92h:49029 

Han, Chong-Kyu The theorema egregium of Gauss from a viewpoint of partial differential 
equations. 92k:53070 

Hanges, Nicholas (with Tréves, Francois) On the analyticity of solutions of first-order 
nonlinear PDE. 92h:35004 


hil, 








35F20 


Hokkanen, Veli-Matti An implicit nonlinear time dependent equation has a solution. 
92i:34082 

Kamont, Zdzislaw see Brandi, Primo; et al., 92e:35165 

Kozera, Ryszard Existence and uniqueness in photometric stereo. 92g:35004 

Marsden, J. E. (with Ratiu, T. S.; Raugel, Genevitve) Symplectic connections and the 
linearisation of Hamiltonian systems. 92k:58083 

McDougall, S. R. (with Craik, A.D. D.) Blow-up in nonconservative second-harmonic 
resonance. 92a:76014 

Perthame, Benoit Singular perturbations of a dynamical system with a turning point—PDE 
methods. 92j:35011 

Ratiu, T.S. see Marsden, J. E.; et al., 92k:58083 

Rangel, Genevieve see Marsden, J. E.; et al., 92k:58083 

Salvadori, Anna see Brandi, Primo; et al., 92e:35165 

Serazetdinov, T. K. The definite sign conditions for functionals and partial differential 
equations solution stability. (see 92i:34003) 

Soner, Halil Mete see Cannarsa, Piermarco; et al., 92h:49029 

Swinton, Jonathan The stability of homoclinic pulses: a generalisation of Evans’s method. 
92m:35029 

Tahara, Hidetoshi see Gérard, Raymond, 92b:35008 

Tataru, Daniel On the equivalence between the dynamic programming principle and the 
dynamic programming equation. 92m:49049 

— Viscosity solutions for the dynamic programming equations. 92k:49057 

— Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms. 
92m:47155 

Tazhimuratov, I. T. On the existence of a center and focus of a quasilinear partial differen- 
tial equation. (Russian. Kazakh summary) 92h:35014 

Tidball, Mabel M. see Gonzalez, Roberto L. V., 92k:35033 

Tréves, Francois see Hanges, Nicholas, 92h:35004 

Volle, Michel Compléments sur la relation entre la régularisation de Lasry-Lions et 
l’équation de Hamilton-Jacobi. [Complements on the relation between the Lasry-Lions 
regularization and the Hamilton-Jacobi equation] 92g:49012 

— Régularisation des fonctions fortement minorées dans les espaces de Hilbert. [Regulariza- 
tion of functions strongly bounded from below in Hilbert spaces] 92g:49013 

Wen, Guo Chun see Begehr, Heinrich G. W.; et al., (92a:00039) 

Zhao, Zhen see Begehr, Heinrich G. W.; et al., (92a:00039) 


35F25 Initial value problems for nonlinear first-order PDE, 
nonlinear evolution equations 


Brunovsky, Pavol (with Komornik, Jozef) Dynamics of first-order partial differential 
equations used to model self-reproducing cell populations. 92f:35044 

IVin, Vladimir Aleksandrovich (with Zhilyaev, A. I.; Tikhomirov, V. V.) On the solution 
of the eikonal equation in a vertically nonhomogeneous medium. (Russian. English 
summary) 92h:35043 

Komornik, Jozef see Brunovsky, Pavol, 92f:35044 

Tikhomirov, V. V. see Il'in, Viadimir Aleksandrovich; et al., 92h:35043 

Zhilyaev, A.1. see IVin, Viadimir Aleksandrovich; et al., 92h:35043 


Items with secondary classifications in 35F25 

Chaperon, Marc Lois de conservation et géométrie symplectique. (English summary) 
[Conservation laws and symplectic geometry] 92e:58068 

Guerriero, Gabriele Global solutions and L'-stability to a nonlinear evolution problem in 
the diffusion of the particles of a mixture. 92i:76094 

Luca, Rodica Observations on a Hamilton-Jacobi equation. (Romanian summary) 
92b:47114 

Nadir, B. (with Varenne, J.-P.) Régularité conormale classique des problémes de Cauchy et 
de réflexion transverse pour un systéme 2 x 2 semi-linéaire. (English summary) [Classical 
conormal regularity of the Cauchy and transverse reflection problems for a semilinear 
2 x 2 system] 92m:35166 

Varenne, J.-P. see Nadir, B., 92m:35166 

Zhestkov, S. V. Stability of the Cauchy problem for a matrix system of partial differential 
equations of F. I. Fedorov type. (Russian. Ukrainian summary) 92g:35033 





35F30 Boundary value problems for nonlinear first-order PDE 


Barles, G. (with Lions, Pierre-Louis) Fully nonlinear Neumann type boundary conditions 
for first-order Hamilton-Jacobi equations. 92d:35070 

Giarrusso, Ester Estimates for generalized subsolutions of first order Hamilton-Jacobi 
equations and rearrangements. 92j:35028 

Lions, Pierre-Louis see Barles, G., 92d:35070 

Liu, Yun Kang An initial-boundary value problem for a semilinear partial differential 
system of equations of first order. (Chinese. English summary) 92k:35054 

Mshimba, Ali Seif Boundary value problems for partial differential equations in the plane 
Tevisited. 92g:35046 


Items with secondary classifications in 35F30 


Mshimba, Ali Seif On the solution of a mixed boundary value problem for an elliptic 
differential equation in Sobolev spaces. 92k:35087 

Tutschke, Wolfgang Optimal bounds for the derivative with respect to a parameter and an 
application to partial complex differential equations. (see 92a:00039) 


35F99 None of the above, but in this section 


Items with secondary classifications in 35F99 

Dzhuraev, A. D. Some first-order nonelliptic overdetermined systems and their application. 
(Russian) 92m:35189 

Malonek, Helmuth (with Miiller, Bernd) Zur Giiltigkeit eines Satzes vom Phragmén- 
Lindeléfschen Typ fiir Lésungen einer verallgemeinerten Beltramigleichung im R”*!. [On 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 568 


the validity of a Phragmén-Lindeléf-type theorem for solutions of a generalized Beltrami 
equation in R™*+'] 92m:30087 
Miller, Bernd see Malonek, Helmuth, 92m:30087 


35Gxx General higher-order equations and systems 


Items with secondary classifications in 35Gxx 


Egorov, Yurii Viadimirovich Generalized functions and linear differential equations. 
(Russian) 924:46096 


35G05 General theory of linear higher-order PDE 


Adomian, George A. (with Rach, R. C.) Inhomogeneous nonlinear partial differential 
equations with variable coefficients. 

Alatancang Coefficient interchange properties of fundamental solutions to a class of 
differential equations. (Chinese. English summary) 92d:35071 

Altin, Abdullah Some solutions of a third-order singular partial differential equation. 
(Turkish. English summary) 92a:35039 

Anikonov, Yu. E. Representations of solutions of equations with variable coefficients, and 
inverse problems. (Russian) 92m:35045 

Berglez, P. Zur Darstellung von Lésungen bei Systemen partieller Differentialgleichungen, 
insbesondere bei isolierten Singularitaten. (English summary) [On the representation 
of solutions in systems of partial differential equations, in particular with isolated 
singularities] 92m:35046 

Borzymowski, Andrzej A contribution to the study of Mangeron polyvibrating equations. 
(French summary) 92h:35044 

Chen, Chuan Dan (with Lin, Cai Han) Consistency and stability of difference methods for 
initial value problems of partial differential equations with general third-order spatial 
derivatives. (Chinese. English summary) 92j:35029 

Das Gupta, S.C. Riemann’s method in solving partial differential equation. (see 92b:00036) 

Ganzha, E.1I. A growth estimate for the derivatives of the solution of a class of second-order 
differential equations. (Russian) (see 92e:00011) 

Gegelia, J.T. (with Markovskii, B. L.) * Symmetry of the homogeneous linear partial 
differential equations and separation of variables. 92f:35045 

Hanil, Jaroslav A use of the Laplace method in differential equations. (Russian and Czech 
summaries) 

Hanges, Nicholas (with Himonas, A. Alexandrou) Singular solutions for sums of squares of 
vector fields. 92i:35031 

Himonas, A. Alexandrou see Hanges, Nicholas, 92i:35031 

Kakhramanov, A. Sh. Boundary value problems for equations that are not solved with 
respect to the highest derivative. (Russian) (see 92g:00019) 

Lin, Cai Han see Chen, Chuan Dan; et al., 92j:35029 

Markovskii, B. L. see Gegelia, J. T., 92f:35045 

Miyake, Masatake Characterizations of the well posed Cauchy problem for a system in a 
complex domain. 92e:35052 

Perestyuk, N. A. see Samoilenko, A. M.; et al., 92a:35040 

Pfirsch, D. (with Sudan, R. N.) Green’s functions in WKB approximation. 92h:35045 

Pleshchinskaya, I. E. Method of potential equations in the theory of systems of the first- 
order linear partial-differential equations. (see 92h:00020) 

Rach, R.C. see Adomian, George A. 

Samoilenko, A. M. (with Perestyuk, N. A.; Tasmambetov, Zh. N.) Solutions in finite form 
of a regular system of partial differential equations. (Russian) 92a:35040 

Skubachevskii, A. L. The method of cut-off functions in the theory of nonlocal problems. 
(Russian) 92k:35055 

Sudan, R.N. see Pfirsch, D., 92h:35045 

Tasmambetov, Zh. N. see Samoilenko, A. M.; et al., 92a:35040 

Yang, Guang see Zhang, Hong Qing’; et al., 92i:35032 

Zhang, Hong Qing! (with Yang, Guang) Constructions of the general solution for a system 
of partial differential equations with variable coefficients. (Chinese. English summary) 
92i:35032 

Zhang, Xue Yuan Uniform well-posedness of the Cauchy problem for high-dimensional 
self-conjugate linear partial differential systems of equations with variable coefficients. 
(Chinese. English summary) 92g:35047 


Items with secondary classifications in 35G05 

Bao, Gang (with Symes, William W.) A trace theorem for solutions of linear partial 
differential equations. 92h:35031 

Braun, Riidiger W. (with Meise, Reinhold; Vogt, Dietmar) Applications of the projective 
limit functor to convolution and partial differential equations. 92b:46119 

Crandall, Michael G. Viscosity solutions of partial differential equations. 92k:35001 

Haddak, Akli see Pommaret, Jean-Francois, 92i:58208 

Holderrieth, A. Matrix multiplication operators generating one parameter semigroups. 
92b:47058 

Khankhasaev, V. N. On the theory of fourth-order nonlinear equations of mixed type. 
(Russian) 92h:35153 

Kipriyanov, I. A. (with Zasorin, Yu. V.) On the Green function of a two-dimensional 
problem. (Russian) 92¢:35029 

Maslova, E. V. Solution of the Cauchy problem for several differential equations that 
contain the Laplace operator in a superspace. (Russian) 92b:58030 

Meise, Reinhold (with Taylor, B. A.; Vogt, Dietmar) Partial differential operators with 
continuous linear right inverse. 92b:46122 

— see also Braun, Riidiger W.; et al., 92b:46119 

Pinsky, Ross G. A probabilistic approach to a theorem of Gilbarg and Serrin. 92j:35009 

Pommaret, Jean-Francois (with Haddak, Akli) Effective methods for systems of algebraic 
partial differentiai equations. 92i:58208 

Riiprich, Wolfgang Fine operatorentheoretisch-orientierte, funktionalanalytische 
Lésuhgsmethode fiir nichtlineare, raumliche Differentialglei gsprobl erster Ord- 
nung. (English, Russian and Georgian summaries) [An operator-theoretically oriented 








569 1992 


functional-analytical solution method for nonlinear spatial problems of first-order differ- 
ential equations] 

Symes, William W. see Bao, Gang, 92h:35031 

Taylor, B. A. see Meise, Reinhold; et al., 92b:46122 

Triméche, K. Opérateurs de permutation et analyse harmonique associés a des opérateurs 
aux dérivées partielles. [Permutation operators and harmonic analysis associated with 
partial differential operators] 92g:43004 

Vogt, Dietmar see Braun, Riidiger W.; et al., 92b:46119 and Meise, Reinhold; et al., 
92b:46122 

Zasorin, Yu. V. see Kipriyanov, I. A., 92c:35029 


35G10 Initial value problems for linear higher-order PDE, linear 
evolution equations 


Chen, Yin Tong A general expression for analytic solutions to the Cauchy problem for 
systems of linear partial differential equations of order p. (Chinese) 92b:35039 

Dinh Nho Hao see Tran-Di’c Van; et al., 92h:35046 

Gorenflo, Rudolf see Tran-Du’c Van; et al., 92h:35046 

Kitagawa, Keiichiro Sur le principe de Duhamel. [On the Duhamel principle] 92e:35053 

Repnikov, V. D. Limit relations between solutions of some equations of hyperbolic, 
parabolic and elliptic types. (Russian) 

Takeuchi, Jiro Le probléme de Cauchy pour certains systémes de Leray-Volevit du type 
de Schrédinger. V. (English summary) [The Cauchy problem for certain Leray-Volevich 
systems of Schrédinger type. V] 92i:35033 

Tran-Di’c Van (with Dinh Nho Hao; Trinh Ngoc Minh; Gorenflo, Rudolf) On the Cauchy 
problems for systems of partial differential equations with a distinguished variable. 
92h:35046 

Trinh Ngoc Minh see Tran-Dw’c Van; et al., 92h:35046 


Items with secondary classifications in 35G10 

Ashino, Ryuichi On Nagumo’s H°-stability in singular perturbations. 92m:35019 

Gindikin, S.G. see Volevich, L. R., 92i:35001 

Madi, Nour Said Probléme de Cauchy 4 deux variables fuchsiennes. [Cauchy problem with 
two Fuchsian variables] 92k:35008 

Sattarov, A.S. Integral representations and Cauchy-type problems for a fourth-order 
degenerate equation of the first kind with two singular lines. (Russian. English summary) 
92h:35035 

Volevich, L. R. (with Gindikin, S.G.) The Cauchy problem. (Russian) 92i:35001 


35G15 Boundary value problems for linear higher-order PDE 


Antypko, I. 1. (with Borok, V.M.) The Neumann boundary value problem in an infinite 
layer. (Russian) 92h:35047 

Borok, V. M. see Antypko, I. I., 92h:35047 

Jédar, Lucas see Legua Fernandez, Matilde, (92m:00052) 

Kamynin, L.I. Applications of parabolic potentials to boundary value problems in 
mathematical physics. I. (Russian) 92¢:35032 

Legua Fernandez, Matilde (with Jédar, Lucas) Explicit solutions of mixed problems for 
coupled systems of partial differential equations. (Spanish. English summary) (see 
92m:00052) 

Lopushans‘ka, G. P. An approach to the study of boundary value problems in spaces 
of distributions, and boundary integral equations. (Russian. Ukrainian summary) 
92j:35030 

Mamedov, Yu. A. Application of the residue method to the solution of a nonclassical mixed 
problem. (Russian) (see 91k:35003) 

Obolashvili, E. 1. Effective solutions of some boundary value problems in two- and three- 
dimensional cases. (see 92i:00023) . 

Sadowski, Antoni A Goursat problem for Mangeron polyvibrating equation in R", n > 3. 
92b:35040 

Skrypnik, I. V. The averaging of nonlinear Dirichlet problems in domains with channels. 
(Russian) 


Items with secondary classifications in 35G15 

Malovichko, V. A. Solvability of boundary value problems for systems of fourth-order 
differential equations. (Russian) 92m:35028 

Takhtadzhyan, L. A. (with Zograf, P.G.) The Selberg zeta function and a new Kahler 
metric on the moduli space of punctured Riemann surfaces. 92a:58149 

Zhuraev, B. B. Boundary value probl for a fourth-order equation with multiple 
characteristics in infinite domains. (Russian) (see 92m:35002) 

Zograf, P.G. see Takhtadzhyan, L. A., 92a:58149 





35G20 General theory of nonlinear higher-order PDE 


Berezkina, N.S. (with Martynov, I. P.) A system of partial differential equations. (Russian) 
92¢:35033 

Cacuci, Dan G. (with Protopopescu, V.) Canonical propagators for nonlinear systems: 
theory and sample applications. 92b:35041 

Dzhuraev, T. D. (with Popiolek, Jan) Classification and reduction to canonical form of 
third-order partial differential equations. (Russian) 92m:35047 

Jian, Huai Yu Partial regularity for solutions of higher order nonlinear partial differential 
systems. (Chinese summary) 92g:35048 

Li, Wen Shen (with Luo, Si Qing) An iterative solution to the characteristic problem for 
a class of fourth-order nonlinear differential equations. (Chinese. English summary) 
92j:35031 

Luo, Si Qing see Li, Wen Shen; et al., 92):35031 

Martynov, I. P. see Berezkina, N. S., 92¢:35033 

Popiolek, Jan see Dzhuraev, T. D., 92m:35047 

Protopopescu, V. see Cacuci, Dan G., 92b:35041 

Suhubi, Erdogan S. Corrigenda: “Isovector fields and similarity solutions for general balance 
equations” [Internat. J. Engrg. Sci. 29 (1991), no. 1, 133-150; MR 91m:35062]. 


35H Hypoelliptic equations and systems 


35H05 


Items with secondary classifications in 35G20 


Alekseev, A. A. (with Kudryashov, N. A.) The Wahlquist-Estabrook method for evolution 
equations with a small parameter: a technique of approximating pseudopotentials. 
92m:35217 

Aubert, G. Sur une équation quasilinéaire d’ordre 2 non elliptique. (English summary) [A 
second-order nonelliptic quasilinear equation] 92e:35041 

Crandall, Michael G. (with Ishii, Hitoshi; Lions, Pierre-Louis) User’s guide to viscosity 
solutions of second order partial differential equations. 92j:35050 

Ishii, Hitoshi see Crandall, Michael G.; et al., 92j:35050 

Khapaev, Mikhail Mikhailovich On the determination of averaged physical parameters in 
periodic media. (Russian) 924:35299 

Kudryashov, N. A. see Alekseev, A. A., 92m:35217 

Lanckau, Eberhard Bergman-Vekua-Operatoren fiir nichtlineare Gleichungen—ein Anfang. 
[Bergman-Vekua operators for nonlinear equations—a beginning] 92h:35034 

Lions, Pierre-Louis see Crandall, Michael G.; et al., 92j:35050 

Ma, Wen Xiu The confocal involutive system and the integrability of the nonlinearized Lax 
systems for AKNS hierarchy. 92b:35148 

van der Merwe, P. du T. Solvable forms of a generalized Hénon-Heiles system. 92e:58073 

Miles, John Nonlinear asymmetric excitation of edge waves. 92f:76014 

Morales-Luna, G. see Sailer, V., 92g:35002 

Osher, Stanley (with Shu, Chi-Wang) High-order essentially nonoscillatory schemes for 
Hamilton-Jacobi equations. 92e:65118 

Pelczar, Andrzej Some qualitative problems in the theory of second order partial differential 
equations. 92a:35029 

Riprich, Wolfgang Operator-theoretic functional-analytic methods in the theory of partial 
differential equations in R". 92k:47139 

Rybnikov, A. K. The geometry of the solutions of a third-order partial differential equation. 
(Russian) 92h:53018 

Sailer, V. (with Morales-Luna, G.) On the polynomial representation of generalized 
Liouville operators. 92g:35002 

Shu, Chi-Wang see Osher, Stanley, 92¢:65118 

Spring, David On the regularity of solutions in convex integration theory. 92e:35044 

Taylor, Michael E. * Pseudodifferential operators and nonlinear PDE. 92j:35193 

Vakulenko, S. A. Existence of chemical waves with a complex motion of the front. (Russian) 
92h:92020 


35G30 Boundary value problems for nonlinear higher-order PDE 


Abdinazarov, S. see Dzhuraev, T. D., 92f:35046 

Dzhuraev, T. D. (with Abdinazarov, S.) A nonclassical boundary value p 
higher-order equation with multiple characteristics. (Russian) 92f:35046 

Ismailova, N.G. see Mamedov, Yu. A.; et al., 92c:35034 

Mamedov, Yu. A. (with Sattorov, A. Kh.; Ismailova, N.G.) A boundary value problem with 
a nonselfadjoint principal part. (Russian) 92¢:35034 

Sattorov, A. Kh. see Mamedov, Yu. A.; et al., 92¢:35034 

Xu, Chao Jiang Probléme de Dirichlet pour les équations associées 4 un systeme de champs 
de vecteurs. [Dirichlet problem for equations associated with a system of vector fields] 
92j:35032 


hil 





fora 


Items with secondary classifications in 35G30 

Bianchi, Monica Existence of a solution of the Cauchy problem for an equation associated 
with nonlinear viscoelastic phenomena. (Italian) 924:35285 

Drabek, Pavel (with Nicolosi, Francesco) Semilinear boundary value probl 
with general nonlinearities. 92k:35099 

Hulshof, Josephus Spherically symmetric solutions of an elliptic-parabolic Neumann 
problem. 92g:35151 

Kumagai, Donna Solutions of 9*u/8 zdZ = e*“ and analytic multivalued functions. 
92j:32041 

Nicolosi, Francesco see Drabek, Pavel, 92k:35099 





at resonance 


35H05 Hypoelliptic equations and systems 
[see also 58Gxx] 


Chen, Hua! On the partially microlocal hypoellipticity for a class of totally characteristic 
operators with characteristics of constant multiplicity. 92g:35049 

— Microlocally tangential hypoellipticity for a class of totally characteristic k-evolution 
operators. 92¢:35054 

Christ, Michael Certain sums of squares of vector fields fail to be analytic hypoelliptic. 
92k:35056 

— Some nonanalytic-hypoelliptic sums of squares of vector fields. 92e:35055 

Egorov, Yurii Viadimirovich (with Nguen Min’ Chi) Maximally hypoelliptic operators with 
a noninvolutive characteristic set. (Russian) 92i:35034 

Gramchev, Todor Powers of Mizohata type operators in Gevrey classes. (Italian summary) 
92d:35072 

— (with Popivanov, Pet”r R.; Yoshino, Masafumi) Some note on Gevrey hypoellipticity and 
solvability on torus. 92h:35048 

Himonas, A. Alexandrou Finite type analytic partial differential operators and analytic 
hypoellipticity. 92m:35048 

Hoshiro, Toshihiko On hypoellipticity for a certain operator with double characteristic. 
92d:35073 

Karapetyan, G. A. Regular equations with a parameter. (Russian. English and Armenian 
summaries) 92f:35047 

Kazaryan, G. G. (with Markaryan, V.N.) Lower bounds on the functional dimension of the 
solution space of hypoelliptic operators. (Russian) 92a:35041 

Kipriyanov, I. A. (with Kulikov, A. A.) Fundamental solutions of B-hypo-elliptic equations. 
(Russian) 92k:35057 

Koike, Minoru A note on hypoellipticity of degenerate elliptic operators. 92k:35058 

Kulikov, A. A. see Kipriyanov, I. A., 92k:35057 

Markaryan, V.N. see Kazaryan, G. G., 92a:35041 





35H05 


Morioka, Tatsushi Hypoellipticity for semi-elliptic operators which degenerate on 
hypersurface. 92k:35059 

— Some remarks on microhypoelliptic operators of infinitely degenerate type. 92k:35060 

Nguen Min’ Chi Fourth-order hypoelliptic pseudodifferential operators with a noninvolutive 
characteristic set. (Russian) 92a:35042 

— On the property of global hypoellipticity of a differential operator. (Russian) 924:35074 

— see also Egorov, Yurii Vladimirovich, 92i:35034 

Nourrigat, J. Systé¢mes sous-elliptiques. II. [Subelliptic systems. II] 92f:35048 

Popivanov, Petr R. see Gramchev, Todor; et al., 92h:35048 

Smith, Hart F. Parametrix construction for a class of subelliptic differential operators. 
92h:35049 

Xun, Jian Ping Hypoelliptic boundary value problems for a class of hypoelliptic operators 
with variable coefficients. (Chinese. English summary) 92g:35050 

Yoshino, Masafumi see Gramchev, Todor; et al., 92h:35048 


Items with secondary classifications in 35H05 

Albano, Luisa (with Rodino, Luigi) Analytic and Gevrey regularity for linear partial 
differential operators. 92¢:35027 

Boimatov, K. Kh. Spectral projectors of hypoelliptic operators. (Russian) 92i:47056 

Bolley, Pierre (with Camus, Jacques; Métivier, Guy) Vecteurs analytiques réduits et 
analyticité. (English summary) [Reduced analytic vectors and analyticity] 92c:35003 

Camus, Jacques see Bolley, Pierre; et al., 92c:35003 

Chen, Mu Fa (with Zhou, Xian Yin) Applications of Malliavin calculus to stochastic 
differential equations with time-dependent coefficients. 92i:60107 

Cygan, Jacek M. (with Richardson, Leonard F.) D-harmonic distributions and global 
hypoellipticity on nilmanifolds. 92h:22019 

Geller, Daryl Approximate projections and analytic pseudolocality of the Szegé projection 
on domains in C?. 92j:32083 

Guan, Pengfei On an example of a subelliptic boundary value problem. 92h:35056 

Hanges, Nicholas (with Himonas, A. Alexandrou) Singular solutions for sums of squares of 
vector fields. 92i:35031 

Haruki, Shigeru see Tsutsumi, Akira, 92j:39018 

Himonas, A. Alexandrou see Hanges, Nicholas, 92i:35031 

Jang, Lee-Chae Some properties of hypoelliptic pseudodifferential operators. 

Marchioni, Giovanna Solvability in Gevrey spaces of convolution equations. (Italian. 
English summary) 92m:46054 

Métivier, Guy see Bolley, Pierre; et al., 92c:35003 

Omori, Hideki On global hypoellipticity of horizontal Laplacians on compact principal 
bundles. 92f:58165 

Poppenberg, Markus A sufficient condition of type (Q) for tame splitting of short exact 
sequences of Fréchet spaces. 92k:46007 

Richardson, Leonard F. see Cygan, Jacek M., 92h:22019 

Rodino, Luigi see Albano, Luisa, 92c:35027 

Saloff-Coste, Laurent (with Stroock, Daniel W.) Opérateurs uniformément sous-elliptiques 
sur les groupes de Lie. (English summary) [Uniformly subelliptic operators on Lie groups] 
92k:58264 

Stroock, Daniel W. see Saloff-Coste, Laurent, 92k:58264 

Tsutsumi, Akira (with Haruki, Shigeru) On hypoelliptic functional equations. 92j:39018 

Ustiinel, Ali Sileyman Hypoellipticity of the stochastic partial differential operators. 
92d:60067 

Xu, Chao Jiang Subelliptic variational problems. (French summary) 92b:49008 

Zhou, Xian Yin see Chen, Mu Fa; et al., 92i:60107 


35Jxx Partial differential equations of elliptic type 
[see also 58G05, 58G10] 


Yanushauskas, Algimantas * Metogbi noTeHi{Hana B TeOpHH SIHNTHYECKHX ypaBHeHHA. 
(Russian) [Potential methods in the theory of elliptic equations] 92h:35050 


Items listed otherwise than by author 
Solutions for nonlinear elliptic equations * Hisenkei daenkei hembibun hoteishiki no kai. 
(Japanese) [Solutions for nonlinear elliptic equations] 92d:35075 
Symposium: 
Solutions for Nonlinear Elliptic Equations * Hisenkei daenkei hembibun hoteishiki no 
kai. (Japanese) [Solutions for nonlinear elliptic equations] 92d:35075 


Items with secondary classifications in 35Jxx 

(Lloyd, N.G.) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 
(Ni, Wei-Ming) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 
(Peletier, L. A.) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 
(Serrin, James) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 


Items listed otherwise than by author 
Conference: 
Nonlinear Diffusion Equations and their Equilibrium States * Nonlinear diffusion 
equations and their equilibrium states. 3. 92m:35003 
Gregynog * Nonlinear diffusion equations and their equilibrium states. 3. 92m:35003 
Nonlinear diffusion equations and their equilibrium states * Nonlinear diffusion equations 
and their equilibrium states. 3. 92m:35003 


35305 Laplace equation, reduced wave equation (Helmholtz), 
Poisson equation [see also 31Axx, 31Bxx] 
Agmon, Shmuel A representation theorem for solutions of the Helmholtz equation and 
resolvent estimates for the Laplacian. 92a:35043 


Akhmetov, R.G. The agreement method in the problem on diffusion to a particle. (Russian) 
92b:35042 


Alber, H.-D. The highest order singularities of the scattering kernel. (see 92b:35006) 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 570 


Angell, T.S. (with Kleinman, R. E.; Hettlich, F.) The resistive and conductive problems for 
the exterior Helmholtz equation. 92¢:35035 

Bandrovskii, S.S. see Sibil’, Yu. N. 

Baraniski, Feliks (with Filar, Maria) The boundary value problem for Poisson’s equation, 
for spatial octant and for boundary conditions of the third kind. (Polish summary) (see 
92c:00013) 

Chobanov, Georgi Iv. (with Marino, Antonio; Scolozzi, D.) Evolution equation for 
the eigenvalue problem for the Laplace operator with respect to an obstacle. (Italian 
summary) 92m:35049 

Croc, Elisabeth (with Durand, Marc) Probleme de Dirichlet pour l’opérateur de Helmholtz 
dans un cylindre privé de son axe. (English summary) [Dirichlet problem for the 
Helmholtz equation in a cylinder without its axis] 92i:35035 

Durand, Marc see Croc, Elisabeth, 92i:35035 

Eidus, D. The perturbed Laplace operator in a weighted L?-space. 92k:35061 

Fabrikant, V. I. Neumann problem for an annular disk. 92h:35051 

Faierman, Mel An oblique derivative problem involving an indefinite weight. 92a:35044 

Filar, Maria (with M k, Maria) Boundary value problems for the equation (A — 
c*)u(X) = f(X) ina certain unbounded domain of the Euclidean n-space. (Polish 
summary) (see 92c:00013) 

— Boundary value problems for the nonhomogeneous Helmholtz equation in a rectangular 
polyhedral angle of the Euclidean n-space. 92f:35049 

— see also Baranski, Feliks, (92c:00013) 

Fishman, Louis Exact and approximate solutions of the Helmholtz, Weyl composition 
equation in scalar wave propagation. 92g:35051 

Gleason, Stewart (with Wolff, Thomas H.) Lewy’s harmonic gradient maps in higher 
dimensions. 92k:35062 

Grachev, N. V. (with Maz'ya, V.G.) A contact problem for the Laplace equation in the 
exterior of the boundary of a dihedral angle. (Russian) 92i:35036 

Grigorov, A. see Martinov, Nikolai Konstantinov; et al., 92m:35053 

Han, Wei Min The best constant in a trace inequality. 92j:35033 

Hettlich, F. see Angell, T. S.; et al., 92¢:35035 

Ilin, Viadimir Aleksandrovich (with Moiseev, E.1I.) A two-dimensional nonlocal boundary 
value problem for the Poisson operator in the differential and the difference interpreta- 
tion. (Russian. English summary) 924:35076 

Inayat-Hussain, A. A. Mathieu integral transforms. 92b:35043 

Katrakhov, V. V. On a singular boundary value problem for the Poisson equation. (Russian) 
92j:35034 

Kholodkov, A. V. see Loginov, B. V., 92c:35036 

Kiselev, A. A. (with Popov, I. Yu.) Higher moments in a zero-width aperture model. 
(Russian. English summary) 92m:35050 

Kleinman, R. E. see Angell, T. S.; et al., 92¢:35035 

Klibanov, M. V. (with Santosa, Fadil) A computational quasi-reversibility method for 
Cauchy problems for Laplace’s equation. 92h:35052 

Koronski, Jan (with Zdankiewicz, Zbigniew) The Green function for the Helmholtz 
equation for three-dimensional strip and Neumann boundary conditions and its 
application to the boundary problem. (Polish summary) (see 92c:00013) 

Kosmodem’yanskii, A. A., Jr. Isoperimetric estimates for the solution of the second 
boundary value problem for the Poisson equation. (Russian) 92m:35051 

Laneev, E. B. (with Lovetskii, K. P.; Sevast'yanov, L. A.) Stable solution of the elec- 
troencephalography problem using the principle of the minimum of a smoothed A. N. 
Tikhonov functional. (Russian) (see 92d:00023) 

Lenczner, Michel Caractérisation des fonctions singuliéres duales, et calcul du coefficient de 
singularité de la solution de l’équation de Laplace 3-D dans un domaine fissuré. (English 
summary) [Stress intensity factor computation for the Laplace equation in a three- 
dimensional body with a crack] 92m:35052 

Loginov, B. V. (with Kholodkov, A. V.) The Bitsadze-Samarskii problem for the Laplace 
equation with a small parameter. (Russian) 92c:35036 

Lovetskii, K.P. see Laneev, E. B.; et al., (92d:00023) 

Makeev, G. N. Systems of differential equations of Laplace type. (Russian) (see 92f:00018) 

Marczak, Maria see Filar, Maria, (92c:00013) 

Marino, Antonio see Chobanov, Georgi Iv.; et al., 92m:35049 

Martinov, Nikolai Konstantinov (with Ouroushev, D.; Grigorov, A.) New class solutions of 
the 3-D Laplace equation. 92m:35053 

Maz'ya, V.G. see Grachev, N. V., 92i:35036 

McCoy, Peter A. Solutions of the Helmholtz equation having rapid growth. 92m:35054 

Meister, Erhard (with Rawlins, A. D.; Speck, Frank-Olme) Double-knife edge problems 
with elastic/plastic type screens. 92e:35056 

Moiseev, E. 1. see I'in, Viadimir Aleksandrovich, 92d:35076 

Mshimba, Ali Seif The Dirichlet boundary value problem for holomorphic functions in 
Sobolev spaces. (see 92i:00023) 

Ouroushev, D. see Martinov, Nikolai Konstantinov; et al., 92m:35053 

Payne, Lawrence E. (with Philippin, G. A.) Some overdetermined boundary value problems 
for harmonic functions. (French summary) 92j:35035 

von Petersdorff, T. (with Stephan, Ernst P.) Decompositions in edge and corner singularities 
for the solution of the Dirichlet problem of the Laplacian in a polyhedron. 92h:35053 

Philippin, G. A. see Payne, Lawrence E., 92j:35035 

Podlipenko, Yu. K. Boundary valuc problems for the Helmholtz equation in certain domains 
with infinite boundaries. (Russian) 92a:35045 

Popov, I. Yu. The extension theory and the opening in semitransparent surface. 92k:35063 

— see also Kiselev, A. A., 92m:35050 

Rawlins, A. D. see Meister, Erhard; et al., 92e:35056 

Santosa, Fadil see Klibanov, M. V., 92h:35052 

Schaaf, Renate (with Schmitt, Klaus) Periodic perturbations of linear problems at 
resonance on convex domains. 92a:35046 

Schmitt, Klaus see Schaaf, Renate, 92a:35046 

Scolozzi, D. see Chobanov, Georgi Iv.; et al., 92m:35049 

Sevast’yanov, L. A. see Laneev, E. B.; et al., (92d:00023) 

Sibil’, Yu. N. (with Bandrovskii, S. S.) The Dirichlet problem for the Helmholtz equation in 
the case of open boundaries. (Russian) 7 

Simader, Christian G. The weak Dirichlet and Neumann problem for the Laplacian in L¢ 








571 1992 


for bounded and exterior domains. Applications. 92m:35055 

Smagin, S.I. A new class of integral equations that lower the dimension of diffraction 
problems. (Russian) 92b:35044 

Sorokin, V. A. On the smoothness of the solution of an electrostatic problem. (Russian) 
92g:35052 

Speck, Frank-Olme see Meister, Erhard; et al., 92e:35056 

Starkova, L. K. The method of iterations in a problem on diffraction by a system of bodies. 
(Russian) 92g:35053 

Stephan, Ernst P. (with Suri, Manil) Integral equation methods for screen and crack 
problems. 92¢:35057 

— see also von Petersdorff, T., 92h:35053 

Suri, Manil see Stephan, Ernst P., 92e:35057 

Suveika, I. V. Solution of exterior boundary value problems for an operator that reduces to 
the Helmholtz operator. (Russian) 92i:35037 

Teixeira, F.S. Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation. 
924:35077 

Viasov, V.1. (with Volkov, D. B.) * Pemenue 3azaum JIupuxne aa ypapHenus Iyaccona 
B H€KOTOpbIX O6s1aCTAX CO CIOKHBIM CTPOeHHeM rpaHHuB. (Russian) [Solution of the 
Dirichlet problem for the Poisson equation in some domains with a complex boundary 
structure] 92e:35058 

Volkov, D. B. see Viasov, V. I., 92e:35058 

von Wahl, Wolf Abschatzungen fiir das Neumann-Problem und die Helmholtz-Zerlegung 
von L?. (English summary) [Estimates for the Neumann problem and the Helmholtz 
decomposition of L?] 924:35078 

Weck, N. (with Witsch, K. J.) The low frequency limit of the exterior Dirichlet problem for 
the reduced wave equation. 92h:35054 

— (with Witsch, K. J.) Exterior Dirichlet problem for the reduced wave equation: 
asymptotic analysis of low frequencies. 924:35079 

Witsch, K. J. see Weck, N., 924:35079 and 92h:35054 

Wolff, Thomas H. see Gleason, Stewart, 92k:35062 

Yanushauskas, Algimantas Non-Fredholm boundary-value probl 
elliptic equations. (see 92b:00033) 

Zbigniew see Koronski, Jan, (92c:00013) 


Items with secondary classifications in 35J05 


Acker, Andrew Addendum to: “On the nonconvexity of solutions in free-boundary problems 
arising in plasma physics and fluid dynamics” [Comm. Pure Appl. Math. 42 (1989), no. 8, 
1165-1174; MR 91a:35167]. 92h:35243 

Alber, H.-D. Uniform L2-asymptotics of the scattering amplitude in the high frequency 
limit. (Russian summary) 92m:35195 

Amini, S. (with Ke, Chen) Multigrid solution of boundary integral reformulation of the 
time-harmonic acoustic wave scattering problem in a nonsmooth domain. (see 92a:65021) 

Apel'tsin, V. F. On the synthesis of field scattered by a perfectly conducting obstacle. 
92g:35222 

— Analytic continuations of solutions of boundary value problems for the stationary wave 
equation. (Russian) 92k:35042 

Arrieta, José M. (with Hale, Jack K.; Han, Qing) Eigenvalue problems for non-smoothly 
perturbed domains. 92:35110 

Ashbaugh, Mark S. (with Benguria, Rafael D.) Isoperimetric bound for A3/A2 for the 
membrane problem. 92h:35165 

Badyukov, V. F. The weak Rayleigh hypothesis anc some properties of systems of metahar- 
monic functions. (Russian. English summary) 92k:35204 

Balzano, Michele (with Paderni, Gabriella) Dirichlet problems in domains bounded by thin 
layers with random thickness. 92a:35167 

Bass, Ludvik see Green, H. S.; et al., 92h:31002 

Bazdyreva, M. B. An inverse problem for Poisson equations. (Russian) (see 92d:35006) 

Benguria, Rafael D. see Ashbaugh, Mark S., 92h:35165 

Berger, Ginter Different eigenvalue asymptotics for Dirichlet and Neumann boundary 
conditions of elliptic operators of second order in some irregular domains. 92g:35161 

Berman, Robert D. (with Singman, David) Boundary behavior of positive solutions of the 
Helmholtz equation and associated potentials. 92k:31007 

Bitsadze, A. V. Singular integral equations of the first kind. (Russian) 92k:45002 

Bracken, A. J. see Green, H. S.; et al., 92h:31002 

Bratus’, A.S. (with Myshkis, A. D.) Extremal eigenvalue problems with a free boundary for 
the Laplace operator and their applications. (Russian) 92c:35084 

Buttazzo, Giuseppe (with Dal Maso, Gianni) Shape optimization for Dirichlet problems: 
relaxed formulation and optimality conditions. 92¢:49055 

Chen, Qi Hong Classical solution to the electropainting problem. 92¢:35124 

Chen, Yung Ming see Wang, S. L., 92h:65147 

Conca, C. Bloch decomposition of an eigenvalue problem involving Helmholtz equation. 
92m:35193 

Dal Maso, Gianni see Buttazzo, Giuseppe, 92¢:49055 

Damlamian, Alain (with Donato, Patrizia) Homogenization with small perforations of 
increasingly complicated shapes. 924:35041 

Despres, Bruno Domain decomposition method and the Helmholtz problem. (see 
92a:65021) 

Donato, Patrizia see Damlamian, Alain, 924:35041 

Dzhuraev, Kh. Sh. A regularizing algorithm for constructing approximate solutions of the 
Cauchy problem for the Helmholtz equation. (Russian. Tajiki summary) 

Eisen, Henner (with Heinrichs, Wilhelm; Witsch, Kristian) Spectral collocation methods 
and polar coordinate singularities. 92g:65118 

Erémin, Yu. A. (with Sveshnikov, A.G.) Development of auxiliary source methods in 
electromagnetic problems of diffraction. (Russian. English summary) 92h:78005 

Fabrikant, V. I. Mixed boundary value problem of potential theory in toroidal coordinates. 
92k:31005 

— see also Ramm, A. G., 92k:31006 

Gautesen, A. K. (with Ziolkowski, Richard W.; McLeod, R. R.) A solution to the scattering 
of electromagnetic waves from a dielectric semi-cylinder. 92i:78013 

Giorgadze, M. G. (with Myshkis, A. D.) A problem for the isoperimetric extremum of an 
eigenvalue. (Russian) 92k:35200 





for multi-dimensional 


35J Partial differential equations of elliptic type 


35J05 


Golovatyi, Yu. D. (with Nazarov, S. A.; Oleinik, O. A.) Asymptotic expansions of eigenval- 
ues and eigenfunctions of problems on oscillations of a medium with concentrated pertur- 
bations. (Russian) 92b:35113 

Green, H.S. (with Bracken, A. J.; Bass, Ludvik) Harmonic functions satisfying a radiation 
boundary condition. 92h:31002 

Griesinger, Regina Decompositions of L’ and Hy" with respect to the operator rot. 
92g:47072 

Grigorov, A. see Martinov, Nikolai Konstantinov; et al., 92f:35035 

Grinberg, N. I. Inverse scattering problem for an elastic layered medium. 92m:73056 

Grisvard, Pierre Some known results that fail on nonconvex domains. (see 92d:00018) 

Guan, Pengfei On an example of a subelliptic boundary value probl 92h:35056 

Ha-Duong, Tuong On the boundary integral equations for the crack opening displacement 
of flat cracks. 92j:35142 

Hahne, G. E. Transition operators in acoustic-wave diffraction theory. I. General theory. 
92a:76079a 

— Transition operators in acoustic-wave diffraction theory. II. Short-wavelength behavior, 
dominant singularities of Z,, and 2, 92a:76079b 

Hale, Jack K. see Arrieta, José M.; et al., 92f:35110 

Han, Qing see Arrieta, José M.; et al., 92f:35110 

Heinrichs, Wilhelm see Eisen, Henner; et al., 92g:65118 

Hersch, Joseph (with Sawyer, William) Numerical implementation of coherence for the 
example of the “Swiss cross”. 92j:65162 

IVinskii, A. S. Integral equations for the problems of waves diffraction on screens. 
92h:45011 

— (with Maslovskaya, O. M.) The finite element method in the problem of diffraction by a 
local nonhomogeneity. (Russian) 924:65193 

Jentsch, Lothar Green’s contact functions for heat conduction of two half-spaces and half- 
planes with application to several boundary contact probl 92k:35047 

Jerison, David The first nodal line of a convex planar domain. 924:35210 

Kaizu, Satoshi The Poisson equation with nonautonomous semilinear boundary conditions 
in domains with many time holes. 92f:35024 

Kamp, Leon P. J. see Vissers, F. P. L. M.; et al., 92c:78011 

Kazakov, A. Ya. A “topological” variant of the Casimir effect. (Russian) 92a:81128 

Ke, Chen see Amini, S., (92a:65021) 

Kheifits, A. I. Removable sets, regular boundary points and the Poisson-Jensen formula for 
generalized subharmonic functions. (Russian) 92i:31003 

— Smooth approximation of a generalization of subharmonic functions. (Russian) 

Khryashchév, S. V. Discrete spectrum for a periodic Schroedinger operator perturbed by a 
decreasing potential. 92f:34078 

Kobachi, Nobuo (with Yoshida, Kiyoshi) Existence and qualitative theorems for nonnega- 
tive solutions of a semilinear elliptic equation. 924:35027 

Kozlov, S. M. (with Vucans, Janis) Explicit formula for effective thermoconductivity on the 
quadratic lattice structure. (French summary) 92m:35024 

LeBrun, Claude Explicit self-dual metrics on CP2#---#CP2. 92g:53040 

Lin, Fang-Hua Nodal sets of solutions of elliptic and parabolic equations. 92b:58224 

La, Zhi Qin On estimates of the first eigenvalue of the Laplacian of the convex domain on a 
2-dimensional sphere. 92k:35201 

Martin, Paul Andrew Identification of irregular frequencies in simple direct integral- 
equation methods for scattering by homogeneous inclusions. 92e:35119 

Martinov, Nikolai Konstantinov (with Ouroushev, D.; Grigorov, A.) About one superposi- 
tion of solutions of the Laplace equation. 92f:35035 

Maslovskaya, O. M. see Ilinskii, A. S., 92d:65193 

McCoy, Peter A. Optimal approximation and growth of solutions to a class of elliptic partial 
differential equations. 92d:35031 

McLeod, R. R. see Gautesen, A. K.; et al., 92i:78013 

Millar, R. F. An inverse moving boundary problem for Laplace’s equation. (see 92h:00016) 

Moiseev, E. 1. The basis property of eigenfunctions of a nonlocal boundary value problem. 
(Russian) 92h:35164 

Myshkis, A. D. see Bratus’, A. S., 92c:35084 and Giorgadze, M. G., 92k:35200 

Nair, Balan see White, Benjamin S., 92k:73029 

Nazarov, S. A. see Golovatyi, Yu. D.; et al., 92b:35113 

Nicolas-Vullierme, B. Formal top-down derivation of “doubly asymptotic approximations”. 
(English summary) 92c:73103 

Oleinik, O. A. see Golovatyi, Yu. D.; et al., 92b:35113 

Ouroushev, D. see Martinov, Nikolai Konstantinov; et al., 92f:35035 

Ozawa, Shin Fluctuation of spectra in random media. II. 92j:35133 

Paderni, Gabriella see Balzano, Michele, 92a:35167 

Paulick, Thomas C. Applicability of the Rayleigh hypothesis to real materials. 92b:78005 

Piven’, V. F. The method of axisymmetric generalized analytic functions in the investigation 
of dynamic processes. (Russian) 92g:73019 

Popov, Georgi S. Quasimodes for the Laplace operator and glancing hypersurfaces. 
92e:35013 

Piitter, Rolf On the nodal lines of second eigenfunctions of the free membrane problem. 
92g:35156 

Ramm, A. G. (with Xie,Gan Quan) Uniqueness result for inverse problem of geophysics. 
Il. 92b:35171 

— (with Fabrikant, V. I.) Justification of Fabrikant’s method for solving mixed problems of 
potential theory. 92k:31006 

Rassias, Themistocles M. Eigenvalues of the Laplacian. 92g:35160 

Rempel, S. (with Schmidt, Gunther) Eigenvalues for spherical domains with corners via 
boundary integral equations. 924:65183 

Robert, D. High energy asymptotics for scattering phases for perturbations of Laplace 
operator. 92k:35209 

Ryaben’kii, V.S. Method of difference potentials for numerical solution of problems in 
mechanics of continuous media. (see 92j:76058) 

Santanilla M., Jairo Existence and nonexistence of positive radial solutions for some 
semilinear elliptic problems in annular domains. 92e:35026 

Sawyer, William see Hersch, Joseph, 92j:65162 

Schmidt, Gunther see Rempel, S., 92d:65183 

Shahgholian, Henrik On the Newtonian potential of a heterogeneous ellipsoid. 92f:31006 











35J05 


Simon, Barry The Neumann Laplacian of a jelly roll. 92£:58188 

Singman, David see Berman, Robert D., 92k:31007 

Sleeman, B. D. Interior and exterior inverse problems for the Helmholtz equation. (see 
92h:00016) 

Sluijter, F. W. see Vissers, F. P. L. M.; et al., 92c:78011 

Sukhinin, S. V. The waveguide effect of a one-dimensional-periodic permeable structure. 
(Russian) 92¢:76058 

Sveshnikov, A. G. see Erémin, Yu. A., 92h:78005 

Tarzia, Domingo Alberto Mixed elliptic problems with solutions of nonconstant sign. 
924:35312 

Torres del Castillo, G. F. Solution of nonscalar equations in cylindrical coordinates. 
(Spanish summary) 92j:35023 

Trad, Ahmed Sur la méthode de Werner pour le probleme de Neumann extérieur. 
Application acoustique. (English summary) [Werner’s method and the exterior Neumann 
problem. An acoustic application] 92f:76080 

Tyurin, K.I. Extremal properties of eigenvalues of the Laplace operator on a ball. (Russian) 
92j:35137 

Vissers, F. P.L.M. (with Kamp, Leon P. J.; Sluijter, F. W.) Some generalizations of radial 
Bremmer series. 92c:78011 

Voichkov, V. V. Mean-value theorems for some differential equations. (Russian. English 
summary) 92k:35020 

Volkov, E. A. A fast method for computing the Green function of the Laplace operator on 
polygons. (Russian) 

Vucans, Janis see Kozlov, S. M., 92m:35024 

Wang, S. L. (with Chen, Yung Ming) An efficient numerical method for exterior and 
interior inverse problems of Helmholtz equation. 92h:65147 

White, Benjamin S. (with Nair, Balan) Stochastic geometry and the intensity of random 
waves. 92k:73029 

Wilde, Peter Impedance boundary value problems in acoustics. (see 92a:65021) 

Witsch, Kristian see Eisen, Henner; et al., 92g:65118 

Wolff, Thomas H. Note on counterexamples in strong unique continuation problems. 
92e:35040 

Wong, M. W. The spectra of the Laplacian. 92f:47050 

Wu, Hong You Symmetric properties of eigenfunctions of the Laplace operator on compact 
Riemannian manifolds. 92a:58148 

Xie, Gan Quan see Ramm, A. G., 92b:35171 

Xu, Yong Zhi An injective far-field pattern operator and inverse scattering problem in a 
finite depth ocean. 92¢:35123 

Yoshida, Kiyoshi see Kobachi, Nobuo, 92d:35027 

Zayed, E.M.E. An inverse eigenvalue problem for an arbitrary multiply connected 
bounded region in R?. 92d:35305 

— Hearing the shape of a general doubly-connected domain in R? with mixed boundary 
conditions. 92f:58179 

Ziolkowski, Richard W. see Gautesen, A. K.; et al., 92i:78013 

Zworski, Maciej High frequency scattering by a convex obstacle. 92c:35070 


35J10 Schrodinger operator [see also 35Pxx] 


Aktosun, Tuncay (with van der Mee, C. V. M.) Wiener-Hopf factorization in the inverse 
scattering theory for the n-D Schrédinger equation. 92f:35050 

Baiwelos, Rodrigo Intrinsic ultracontractivity and eigenfunction estimates for Schrédinger 
operators. 92k:35066 

Ben-Artzi, M. (with Devinatz, Allen) Local smoothing and convergence properties of 
Schrédinger type equations. 92k:35064 

Cranston, M.C. (with Zhao, Zhong Xin) Some regularity results and eigenfunction 
estimates for the Schrédinger operator. 92d:35080 

Davis, Burgess Intrinsic ultracontractivity and the Dirichlet Laplacian. 92k:35065 

Devinatz, Allen (with Moeckel, Richard; Rejto, Peter) A limiting absorption principle for 
Schrédinger operators with von Neumann-Wigner type potentials. 92f:35051 

— see also Ben-Artzi, M., 92k:35064 

Dzyublik, A. Ya. Solution of the time-dependent Schrédinger equation in a nontraditional 
Hilbert space. (Russian. English summary) 92j:35036 

Evans, William Desmond (with Lewis, Roger T.; Saitd, Yoshimi) Eigenvalue properties of 
nonisotropic Schrédinger operators with applications. (see 92m:00046) 

Feldman, Joel (with Knérrer, Horst; Trubowitz, Eugene) Perturbatively unstable eig i 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 572 


Kon, Mark A. see Hughes, Rhonda J., 92m:35057 and Gurarie, David; et al., (92£:34057) 

Landesman, Edward see Gurarie, David; et al., (92f:34057) 

Lee, Will Y. On a counterexample of Garofalo-Lin for a unique continuation of Schrédinger 
equation. 92g:35055 

Lévy-Bruhl, Pierre Spectre d’opérateurs de Schrédinger avec potentiel et champ magnétique 
polynomiaux. [Spectrum of Schrédinger operators with polynomial potential and 
magnetic field] 92i:35038 

Lewis, Roger T. see Evans, William Desmond; et al., (92m:00046) 

Li, Zhi Chan (with Ren, Yan Xia) The generalized Dirichlet probl 
equations. (Chinese. English summary) 92j:35037 

Lieb, Elliott H. Bounds on Schrédinger operators and generalized Sobolev-type inequalities 
with applications in mathematics and physics. (see 91m:26002) 

van der Mee, C. V. M. see Aktosun, Tuncay, 92f:35050 

Meyer, Richard E. On exponential asymptotics for nonseparable wave equations. I. 
Complex geometrical optics and connection. 92m:35059 

— On exponential asymptotics for nonseparable wave equations. II. EBK quantization. 
92m:35060 

Moeckel, Richard see Devinatz, Allen; et al., 92f:35051 

Nagasawa, Masao Can the Schrédinger equation be a Boltzmann equation? 92£:35053 

Ozawa, Tohru Space-time behavior of propagators for Schrédinger evolution equations with 
Stark effect. 92i:35039 

Papanicolaou, Vassilis G. Almost periodic potentials in higher dimensions. 92m:35061 

Parasyuk, I.O. see Fushchich, V. I., 92g:35054 

Pfister, Charles-Edouard see Joye, A., 92m:35058 

Ponce, Gustavo see Kenig, Carlos E.; et al., 92d:35081 

Rejto, Peter see Devinatz, Allen; et al., 92:35051 

Ren, Yan Xia see Li, Zhi Chan; et al., 92j:35037 

Roach, Gary F. (with Zhang, Bo') On transmission probl 
92¢:35037 

Rofe-Beketov, F.S. Selfadjointness of elliptic operators and estimates of energy type over 
the whole R". I. Second-order. (Russian) 92g:35056 

Saitd, Yoshimi see Evans, William Desmond; et al., (92m:00046) 

Saitoh, Saburou Isometrical identities and inverse formulas in the one-dimensional 
Schrédinger equation. 92g:35057 

Tada, Toshimasa Martin compactification for a Schrédinger equation in an angular domain. 
92e:35059 

— Essential sets of Picard principle for rotation free densities. 92b:35046 

Takeuchi, Jiro Le probleme de Cauchy pour certaines équations aux dérivées partielles 
du type de Schrédinger. III. (English summary) [The Cauchy problem for some partial 
differential equations of Schrodinger type. III] 92a:35047 

Trubowitz, Eugene see Feldman, Joel; et al., 92k:35067 

Vega, Luis see Kenig, Carlos E.; et al., 92d:35081 

Wang, Xue Ping Semiclassical resolvent estimates for N-body Schrédinger operators. (see 
92b:35006) 

Wa, Jiang Estimates for the maximum modulus of solutions to second-order linear partial 
differential equations of elliptic type. (Chinese. English summary) 

Willer, Ulrich Geometric methods in scattering theory of the charge transfer model. 
92k:35070 

Yafaev, D. R. On solutions of the Schrédinger equation with radiation conditions at infinity. 
(see 92g:35153) 

Yajima, Kenji On smoothing property of Schrédinger propagators. 92e:35060 

Yamada, Osanobu Spectral theory of magnetic Schrédinger operators with exploding 
potentials. 92b:35047 

Zhang, Bo! see Roach, Gary F., 92c:35037 

Zhao, Zhong Xin see Cranston, M. C., 92d:35080 





for Schrédi 


= 





for the Schrédinger equation. 


Items with secondary classifications in 35J10 


Aktosun, Tuncay (with van der Mee, C. V. M.) Multidimensional inverse quantum 
scattering problem and Wiener-Hopf factorization. (see 92a:00040) 

— (with van der Mee, C. V. M.) Scattering for 1D Schrédinger equation with energy- 
dependent potentials and the recovery of the potential from the reflection coefficient. 
92b:81211 

— (with van der Mee, C. V. M.) Solution of the inverse scattering problem for the three- 
dimensional Schrédinger equation using a Fredholm integral equation. 92a:81217 





ues of a periodic Schrédinger operator. 92k:35067 

Fraguela Collar, Andrés The limiting absorption principle for Schrédinger-type operators 
and its applications to the Cauchy-Poisson problem with a cylindrical bottom. (Russian) 
92m:35056 

Fushchich, V.I. (with Parasyuk, I.O.) A qualitative analysis of families of bounded 
solutions of the multidimensional nonlinear Schrédinger equation. (Russian. Ukrainian 
summary) 92g:35054 

Gérard, Patrick Mesures semi-classiques et ondes de Bloch. [Semiclassical measures and 
Bloch waves] 92k:35068 

Gurarie, David (with Kalisch, Gerhard; Kon, Mark A.; Landesman, Edward) Radial bounds 
for Schrédinger operators in Euclidean domains. (see 92f:34057) 

Herbst, Ira W. Spectral and scattering theory for Schrédinger operators with potentials 
independent of |x|. 92k:35069 

Hughes, Rhonda J. (with Kon, Mark A.) Norm group convergence for singular Schrodinger 
operators. (French summary) 92m:35057 

Iwatsuka, Akira Essential selfadjointness of the Schrédinger operators with magnetic fields 
diverging at infinity. 92b:35045 

Joye, A. (with Pfister, Charles-Edouard) Exponentially small adiabatic invariant for the 
Schrédinger equation. 92m:35058 

Kalisch, Gerhard see Gurarie, David; et al., (92f:34057) 

Karpeshina, Yu. E. Perturbation theory for the Schrodinger operator with periodic potential. 
(Russian) 92£:35052 

Kenig, Carlos E. (with Ponce, Gustavo; Vega, Luis) Oscillatory integrals and regularity of 
dispersive equations. 92d:35081 

Knérrer, Horst see Feldman, Joel; et al., 92k:35067 


Ash , R. R. Bi-orthogonal expansions of a nonselfadjoint Schrédinger operator. 
(Russian) 92g:47071 

Atabaev, A. see Toraev, A., 92d:35212 

Auberson, G. On a class of spectral problems admitting partial algebraization. 92d:35208 

Badyukov, V. F. A method for constructing fundamental solutions in scattering problems. 
(Russian) 92h:35170 

Barnovska, M. (with Il/in, V. A.) On the order of equiconvergence almost everywhere of 
Riesz means of nonselfadjoint extensions of the Laplace operator. (Russian. English 
summary) 92m:47089 

Beland, R. see Konstantopoulos, C.; et al., 92i:81078 

Birman, M. Sh. (with Solomyak, M. Z.) Interpolation estimates for the number of negative 
eigenvalues of a Schroedinger operator. 92e:35115 

— (with Solomyak, M. Z.) Negative discrete spectrum of the Schroedinger operator with 
large coupling constant: a qualitative discussion. 92j:35136 

-— (with Solomyak, M. Z.) Estimates for the number of negative eigenvalues of the 
Schrédinger operator and its generalizations. (see 92g:35153) 

— Discrete spectrum in the gaps of a continuous one for perturbations with large coupling 
constant. (see 92g:35153) 

— (with Raikov, George D.) Discrete spectrum in the gaps for perturbations of the magnetic 
Schrédinger operator. (see 92g:35153) 

— (with Solomyak, M. Z.) The estimates for the number of negative bound states of the 
Schrédinger operator for large coupling constants. 92g:35159 

— On a discrete spectrum in gaps of a second-order perturbed periodic operator. (Russian) 
92m:47090 

— see also Estimates and asymptotics for discrete spectra of integral and differential equations, 
92g:35153 





573 1992 


de Bivar-Weinholtz, Anténio Sequential formulations of the Feynman integral. (Portuguese. 
English summary) (see 92b:00044) 

Bleuler, Konrad The Infeld factorization in relation to various problems in mathematical 
physics. (see 92a:00040) 

Brasche, J. F. Generalized Schrédinger operators, an inverse problem in spectral analysis 
and the Efimov effect. 92m:47091 

Brummelhuis, R. (with Uribe, Alejandro) A semi-classical trace formula for Schrédinger 
operators. 92¢:35085 

Carvalho, Maria Conceicaé V. On the relation between two different methods to treat 
Hamiltonians with point interactions. 92i:81052 

Chantelau, Klaus Coulombic potentials in the semi-classical limit. 92a:81035 

Cheremshantsev, S. E. Averaged wave operators in the problem of scattering by a Brownian 
particle. (Russian) 92b:35116 

Chojnacki, Wojciech Eigenvalues of almost periodic Schrodinger operators in L?(bR) are at 
most double. 92h:47064 

Colin de Verdiére, Yves Sur les singularités de van Hove génériques. [On generic van Hove 
singularities] 92h:35160 

Derezitiski, Jan Exponential bounds in cones for eigenfunctions of N-body Schrédinger 
operators. II. 92g:35154 

Domarkas, A. L. (with Ivanauskas, Feliksas) Existence of solutions of a system of nonlinear 
Schrédinger equations. (Russian) 92¢:35154 

Drake, G. W. F. see Swainson, Robin A., 92d:81025a and 924:81025b 

von Dreifus, Henrique (with Klein, Abel) Localization for random Schrédinger operators 
with correlated potentials. 92i:82061 

Evans, William Desmond (with Lewis, Roger T.; Saits, Yoshimi) Some geometric spectral 
properties of N-body Schrédinger operators. 92h:35166 

Fabre, Caroline Quelques résultats de contrdélabilité exacte de l’équation de Schrodinger. 
Application a l’équation des plaques vibrantes. (English summary) [Exact controllability 
of the Schrédinger equation. Application to the vibrating-plate equation] 92h:93022 

Ford, Richard L. Generalized potentials and obstacle scattering. 92e:35118 

Friedlander, Leonid On the spectrum of the periodic problem for the Schrédinger operator. 
92i:35092a 

— Erratum to: “On the spectrum of the periodic problem for the Schrédinger operator”. 
92i:35092b 

Gérard, Christian Complétude asymptotique des systémes a N corps a courte portée 
(d’aprés I. M. Sigal et A. Soffer). [Asymptotic completeness of short-range N-body 
systems (after I. M. Sigal and A. Soffer)] 92c:81218 

— Résonances et time decay en limite semiclassique. [Resonances and time decay in the 
semiclassical limit] (see 92f:35007) 

Gieseker, D. (with Knérrer, Horst; Trubowitz, Eugene) An overview of the geometry of 
algebraic Fermi curves. 92i:14026 

Golovatyi, Yu. D. The spectral Neumann problem for the Laplace operator with singularly 
perturbed density. (Russian) 92g:35162 

Guillot, J.-C. (with Ralston, James V.) Inverse spectral theory for a singular Sturm- 
Liouville operator on [0, 1]. 92d:34029 

Gurarie, David 2-sphere Schrédinger operators with odd potentials. 92e:58218 

— Multiparameter averaging and inverse spectral problem for anharmonic oscillators in R”. 
92k:35203 

Helffer, B. (with Sjéstrand, Johannes) Semiclassical analysis for Harper’s equation. III. 
Cantor structure of the spectrum. (French summary) 92m:35011 

— (with Sjéstrand, Johannes) On diamagnetism and de Haas-van Alphen effect. (French 
summary) 92a:81237 

Hempel, Rainer (with Herbst, Ira W.; Hinz, Andreas M.; Kalf, Hubert) Intervals of dense 
point spectrum for spherically sy tric Schrédinger operators of the type —A + cos |x|. 
92£:35109 

Herbst, Ira W. (with Skibsted, Erik) Time-dependent approach to radiation conditions. 
92k:47140 

— see also Hempel, Rainer; et al., 92f:35109 

Hinz, Andreas M. see Hempel, Rainer; et al., 92f:35109 

Howland, James S. Spectral concentration for dense point spectrum. 92b:35107 

Ikebe, Teruo (with Shimada, Shin-ichi) Spectral and scattering theory for the Schrédinger 
operators with penetrable wall potentials. 92b:35108 

IVin, V. A. see Barnovska, M., 92m:47089 

IVin, Vladimir Aleksandrovich The Riesz basis property for systems of root vector functions 
for a discontinuous Schrédinger operator with matrix potential. (Russian) 92k:35197 

— (with Moiseev, E. I.) A mean-value formula for root functions of the Schrédinger 
operator. (Russian) 92k:35198 

Inomata, Akira (with Wilson, Raj) Factorization-algebraization-path integration and 
dynamical groups. 92e:81057 

Isozaki, Hiroshi Structure of S-matrices for three-body Schrédinger operators. 92k:35205 

— La structure de la matrice S pour le probléme 4 trois corps. [The structure of the S-matrix 
for the three-body problem] 92k:81226 

— Some remarks on the multi-dimensional Borg-Levinson theorem. 92h:35239 

Ivanauskas, Feliksas see Domarkas, A. L., 92e:35154 

Ivrii, V. Ya. Eigenvalue asymptotics for Schrédinger and Dirac operators with the constant 
magnetic field and with electric potential decreasing at infinity. (see 92d:35009) 

Kalf, Hubert see Hempel, Rainer; et al., 92f:35109 

Kalnins, E.G. (with Levine, Raphael D.; Miller, Willard, Jr.) Conformal symmetries and 
generalized recurrences for heat and Schrédinger equations in one spatial dimension. 
924:58221 

Karpeshina, Yu. E. Perturbation theory for Schroedinger operator with a periodic potential. 
92m:35191 

Kenzhebaeva, M.S. (with Turmukhambetov, D. N.) Estimates for the s-numbers of 
a nonselfadjoint Schrédinger operator. (Russian. English and Kazakh summaries) 
92k:47093 

Kern, Michel Numerical schemes for the paraxial wave equations. 92a:65269 

Khryashchév, S. V. On the discrete spectrum of a perturbed periodic Schrédinger operator. 
(Russian. English summary) 92h:35168 

Klein, Abel The supersymmetric replica trick and smoothness of the density of states for 
random Schrédinger operators. 92b:82076 





35J Partial differential equations of elliptic type 


35310 


— see also von Dreifus, Henrique, 92i:82061 

Klein, Markus (with Schwarz, Erika) An elementary approach to formal WKB expansions 
in R". 924:35213 

Knorrer, Horst see Gieseker, D.; et al., 92i:14026 

Konstantopoulos, C. (with Mittag, L.; Sandri, Guido v. H.; Beland, R.) Schrédinger free- 
particle flow group and the classical diffusion semi-group. 92i:81078 

Lerner, Nicolas (with Nourrigat, J.) Lower bounds for pseudo-differential operators. 
(French summary) 92a:35172 

Levine, Raphael D. see Kalnins, E. G.; et al., 92d:58221 

Lewis, Roger T. see Evans, William Desmond; et al., 92h:35166 

Liu, Xun Ming (with Zou, Feng Wu) Oscillatory solutions to equations of Schrédinger type. 
(Chinese. English summary) 92e:35025 

Makin, A.S. Riesz means of bi-orthogonal expansions in root functions of nonselfadjoint 
extensions of the Schrédinger operator. (Russian) 92m:47096 

Martinez, André Résonances dans |’approximation de Born-Oppenheimer. I. (English 
summary) [Resonances in the Born-Oppenheimer approximation. I] 92c:81027 

Matsumoto, Hiroyuki? The short time asymptotics of the traces of the heat kernels for the 
magnetic Schrédinger operators. 92¢:35117 

— Classical and nonclassical eigenvalue asymptotics for magnetic Schrédinger operators. 
92b:35114 

van der Mee, C. V.M. see Aktosun, Tuncay, 92a:81217; 92b:81211 and (922:00040) 

Meftah, Mokhtar Conditions suffisantes pour la compacité de la résolvante d’un opérateur 
de Schrédinger avec un champ magnétique. [Sufficient conditions for the compactness of 
the resolvent of a Schrédinger operator with a magnetic field] 92h:35196 

Melin, Anders On functions of the Schrédinger operator and a trace formula. 92j:35132 

Metvalli, A. A. Uniform convergence of spectral expansions of a singular elliptic operator. 
(Russian. Uzbek summary) 92g:35158 

Miller, Willard, Jr. see Kalnins, E. G.; et al., 92d:58221 

Mittag, L. see Konstantopoulos, C.; et al., 92i:81078 

Mohamed, Abdérémane (with Nourrigat, J.) Encadrement du N(A) pour un opérateur de 
Schrédinger avec un champ magnétique et un potentiel électrique. [Two-sided estimation 
of N(A) for a Schrédinger operator with a magnetic field and an electric potential] 
92a:35122 

Moiseev, E.1. see lin, Viadimir Aleksandrovich, 92k:35198 

Muratbekov, M. B. Separability and estimates for the widths of sets connected with the 
domain of a nonlinear operator of Schrédinger type. (Russian) 92g:35202 

(Nazaikinskii, V.E.) see Zhitomirskaya, S. Ya., 92j:81039 

Nourrigat, J. see Mohamed, Abdérémane, 92a:35122 and Lerner, Nicolas, 92a:35172 

Novikov, R.G. The two-dimensional inverse scattering problem at fixed positive energy and 
the Riemann generalized nonlocal problem. (French summary) 92¢:35120 

Oh, Yong-Geun On positive multi-lump bound states of nonlinear Schrédinger equations 
under multiple well potential. 92a:35148 

Ozawa, Tohru Invariant subspaces for the Schrédinger evolution group. (French summary) 
92g:81206 

— Nonexistence of wave operators for Stark effect Hamiltonians. 924:35215 

Raikov, George D. Eigenvalue asymptotics for the Schrédinger operator with homogeneous 
magnetic potential and decreasing electric potential. I. Behaviour near the essential 
spectrum tips. (French summary) 92b:35115 

— Semiclassical and weak-magnetic-field eigenvalue asymptotics for the Schrodinger 
operator with electromagnetic potential. 92i:35095 

— Strong electric field eigenvalue asymptotics for the Schrédinger operator with electromag- 
netic potential. 92k:81031la 

— Errata: “Strong electric field eigenvalue asymptotics for the Schrodinger operator with 
electromagnetic potential”. 92k:81031b 

— see also Birman, M. Sh., (92g:35153) 

Ralston, James V. see Guillot, J.-C., 92d:34029 

Ramm, A. G. (with Weaver, O. L.) 3D inverse scattering. 92g:35165 

— Symmetry properties of scattering amplitudes and applications to inverse problems. 
924:35211 

Robert, D. High energy asymptotics for scattering phases for perturbations of Laplace 
operator. 92k:35209 

— (with Wang, Xue Ping) Time-delay and spectral density for Stark Hamiltonians. II. 
Asymptotics of trace formulae. 92k:35210 

Ruiz, Alberto (with Vega, Luis) Unique continuation for Schrédinger operators with 
potential in Morrey spaces. 92¢:35039 

Saitd, Yoshimi see Evans, William Desmond; et al., 92h:35166 

Sandri, Guido v. H. see Konstantopoulos, C.; et al., 92i:81078 

Schiff, J. L. (with Walker, W. J.) Potential theory for the Yukawa equation. 92j:31003 

Schmeelk, John Infinite-dimensional Fock spaces and Schrédinger equation solutions. 
92e:35168 

Schwarz, Erika see Klein, Markus, 92d:35213 

Serov, V.S. Reconstruction of potential in a three-dimensional problem in scattering 
theory. (Russian) 92j:35189 

Shimada, Shin-ichi see Ikebe, Teruo, 92b:35108 

Shtelen’, V. M. Solutions of the Schrédinger equation that are invariant with respect to the 
Lorentz algebra. (Russian) (see 92b:35011) 

Shubov, Marianna A. Asymptotics of the discrete spectrum for a radial Schrodinger 
operator with nearly Coulomb potential. 92f:35111 

Siedentop, Heinz (with Weikard, Rudi) A new phase space localization technique with 
application to the sum of negative eigenvalues of Schrédinger operators. 92d:81152 

Sjéstrand, Johannes Estimations sur les résonances pour le laplacien avec une perturbation 
a support compact. [Resonance estimates for the Laplacian with compactly supported 
perturbation] (see 92f:35007) 

— see also Helffer, B., 92a:81237 and 92m:35011 

Skibsted, Erik see Herbst, Ira W., 92k:47140 

Sobolev, Aleksandr Vladimirovich On the asymptotics of discrete spectrum for the 
Schroedinger operator in electric and homogeneous magnetic fields. (see 92c:00015) 

Sohrab, Houshang H. Normal solvability criteria for certain pseudo-differential operators 
with nontemperate symbols. 92b:47082 

Solomyak, M. Z. see Birman, M. Sh., 92¢:35115; 92g:35159; 92):35136 and (92g:35153) 











35J10 


Sun, Zi Qi Uniqueness for formally determined inverse boundary value problems. 
92g:35237 

Sunada, Toshikazu A periodic Schrédinger operator on an abelian cover. 92e:58222 

Swainson, Robin A. (with Drake, G. W. F.) A unified treatment of the nonrelativistic and 
relativistic hydrogen atom. I. The wavefunctions. 924:81025a 

— (with Drake, G. W. F.) A unified treatment of the nonrelativistic and relativistic 
hydrogen atom. II. The Green functions. 92d:81025b 

Tachizawa, Kazuya Asymptotic distribution of eig, lues of Schréding 
nonclassical potentials. 92a:35125 

Taimanov, I. A. Two-dimensional finite-gap potential Schrodinger operators. (Russian) 
92g:58059 

Takeuchi, Jiro Le probléme de Cauchy pour quelques équations aux dérivées partielles 
du type de Schrédinger. (English summary) [The Cauchy problem for some partial 
differential equations of Schrédinger type] 92f:35008 

— Le probléme de Cauchy pour quelques équations aux dérivées partielles du type de 
Schrodinger. II. (English summary) [The Cauchy problem for some partial differential 
equations of Schrédinger type. II] 92f:35009 

— Le probléme de Cauchy pour certains systémes de Leray-Volevit du type de Schrédinger. 
V. (English summary) [The Cauchy problem for certain Leray-Volevich systems of 
Schrédinger type. V] 92i:35033 

Tamura, Hideo Propagation estimate for N-body quantum systems. 92c:81220 

— Asymptotic completeness for N-body Schrédinger operators with short-range interactions. 
92h:35169 

— The Efimov effect of three-body Schrédinger operators. 92¢:81225 

— Asymptotic completeness for three-body Schrédinger operators with short-range 
interactions. 92a:81216 

Tarasov, R. P. The Cauchy problem for equations of wave packets in a curved dielectric 
cylinder. (Russian) 92a:35056 

Tayoshi, Takao Nonexistence of positive eigenvalues of the Schrédinger operator in a 
domain with unbounded boundary. 92h:35162 

Teta, Alessandro Quadratic forms for singular perturbations of the Laplacian. 92g:35027 

Thangavelu, S. Riesz transforms and the wave equation for the Hermite operator. 
92e:35012 

Toraev, A. (with Atabaev, A.) Negative eigenvalues of elliptic operators. (Russian. English 
summary) 924:35212 

Trubowitz, Eugene see Gieseker, D.; et al., 92i:14026 

Turmukhambetov, D. N. see Kenzhebaeva, M. S., 92k:47093 

Uribe, Alejandro see Brummelhuis, R., 92c:35085 

Ushveridze, A.G. Quasi-exactly solvable multi-dimensional Schrédinger equations. 
92h:81033 

Vega, Luis see Ruiz, Alberto, 92¢:35039 

Venkov, A. B. On the Selberg trace formula for an automorphic Schrédinger operator. 
(Russian) 92m:11051 

Walker, W. J. see Schiff, J. L., 92j:31003 

Wang, Xue Ping see Robert, D.; et al., 92k:35210 

Weaver, O. L. see Ramm, A. G., 92g:35165 

Weder, Ricardo Generalized limiting absorption method and multidimensional inverse 
scattering theory. 92g:35168 

Weikard, Rudi see Siedentop, Heinz, 92d:81152 

White, D. A. W. The Stark effect and long range scattering in two Hilbert spaces. 92¢:35123 

Wilson, Raj see Inomata, Akira, 92e:81057 

Yafaev, D. R. On the asymptotics of scattering phases for the Schrédinger equation. (French 
summary) 92b:35118 

— On some spectral properties of the scattering matrix. (see 92b:35006) 

Zhitomirskaya, S. Ya. Singular spectral properties of a one-dimensional Schrédinger 
operator with almost periodic potential. 92j:81039 

Zou, Feng Wu see Liu, Xun Ming; et al., 92e:35025 





operators with 


Items listed otherwise than by author 


Estimates and asymptotics for discrete spectra of integral and differential equations 
* Estimates and asymptotics for discrete spectra of integral and differential equations. 
92g:35153 

Leningrad * Estimates and asymptotics for discrete spectra of integral and differential 
equations. 92g:35153 

Seminar: 
Mathematical Physics * Estimates and asymptotics for discrete spectra of integral and 

differential equations. 92g:35153 


35J15 General theory of second-order, elliptic equations 


Alber, H.-D. Erratum: “Estimates for the asymptotic behavior of solutions of the Helmholtz 
equation, with an application to second-order elliptic differential operators with variable 
coefficients” [Math. Z. 167 (1979), no. 3, 213-226; MR 80f:35040]. 92m:35062 

Alexopoulos, Georges La conjecture de Kato pour des opérateurs différentiels elliptiques, a 
coefficients périodiques. (English summary) [Kato’s conjecture for second-order elliptic 
differential operators with periodic coefficients] 92d:35082 

Azovskii, V. V. A problem with shift for an equation with an operator F%,. (Russian) (see 
92a:35004) 

Chipot, Michel (with Vergara-Caffarelli,G.) A remark on G-convergence for nonsymmetric 
operators. (Italian summary) 92g:35058 

Heersink, Rudolf Zur lokalen Existenz Greenscher Funktionen fir elliptische Differential- 
gleichungen zweiter Ordnung mit komplexen Koeffizienten in p + 2 Variablen. [On the lo- 
cal existence of Green’s functions for elliptic differential equations of second order with 
complex coefficients in p + 2 variables] 92m:35063 

Marcellini, Paolo Regularity and existence of solutions of elliptic equations with p, q- 
growth conditions. 92e:35061 

Okazawa, Noboru Sectorialness of second order elliptic operators in divergence form. 
92b:35048 

Shelepov, V. Yu. (with Tedeev, A. F.) An inequality for solutions of elliptic equations and 
its application in the theory of boundary properties. (Russian) 92b:35049 


PARTIAL DIFFERENTIAL EQUATIONS 


Tedeev, A. F. see Shelepov, V. Yu., 92b:35049 

Tuchin, A. V. Separability and coercive estimates of a differential operator in L,(R"). 
(Russian. English and Kazakh summaries) 92k:35071 

Vabishchevich, P. N. Reduction of the Cauchy problem for elliptic equations to an extension 
problem. (see 92b:35006) 

Vergara-Caffarelli, G. see Chipot, Michel, 92g:35058 

Wu, Jang-Mei Examples of capacity for some elliptic operators. 92k:35072 


Items with secondary classifications in 35J15 


Borsuk, M. V. Nonimprovable estimates for solutions of the Dirichlet problem for second- 
order linear elliptic equations of nondivergence type in a domain with a conic point. 
(Russian) 

Bugir, M. K. Some properties of nonoscillatory solutions. (Russian) 92c:34038 

Colzani, Leonardo (with Travaglini, Giancarlo) Estimates for Riesz kernels of eigenfunc- 
tion expansicns of elliptic differential operators on compact manifolds. 92i:58176 

Davies, E. B. * Heat kernels and spectral theory. 92a:35035 

Escauriaza, Luis (with Fabes, Eugene B.; Verchota, Gregory) On a regularity theorem for 
weak solutions to transmission problems with internal Lipschitz boundaries. 92j:35020 

Fabes, Eugene B. see Escauriaza, Luis; et al., 92j:35020 

Kondrat'ev, V. A. (with Landis, E.M.) Qualitative theory of second-order linear partial 
differential equations. (Russian) 92m:35015 

Korotkov, D. Yu. * Metogb! npu6nuxeHHON dbakKTOpH3allHH IIA pelwieHuaA ypaBHeHHA 
aumMnTHyeckoro Tuna. (Russian) [Approximate factorization methods for solving elliptic- 
type equations] 924:65170 

Kovalenko, V. F. (with Semenov, Yu. A.) Criteria for m-accretive closability of a second- 
order linear elliptic operator. (Russian) 92i:47057 

Landis, E.M. see Kondrat'ev, V. A., 92m:35015 

Larin, A. A. Properties of the eigenfunctions of some singular elliptic operators. (Russian) 
92g:35155 

Melnik, T. A. Averaging of elliptic equations that describe processes in strongly inhomo- 
geneous thin punctured domains with rapidly changing thickness. (Russian. English sum- 
mary) 92m:35036 

Murata, Minoru On construction of Martin boundaries for second order elliptic equations. 
92d:58216 

Pinchover, Yehuda Large time behavior of the heat kernel and the behavior of the Green 
function near criticality for nonsymmetric elliptic operators. 92m:35109 

Pinsky, Ross G. A probabilistic approach to a theorem of Gilbarg and Serrin. 92j:35009 

Polishchuk, N. V. (with Sukretnyi, V. I.) Asymptotic expansion of the solutions of the 
Dirichlet problem in punctured domains for elliptic equations with nonuniformly 
oscillating coefficients. (Russian) (see 92d:00008) 

Rokva, Zh. P. Numerical solution of a fundamental mixed problem of the plane theory of 
elasticity for domains with a piecewise-smooth boundary. (Russian. English and Georgian 
summaries) 92f:73018 

Rus, Ioan A. On some elliptic equations with deviating arguments. 92d:35053 

Semenov, Yu. A. see Kovalenko, V. F., 92i:47057 

Shimomura, Katsunori A note on the definition of inner NTA domain. 92h:31007 

Sukretnyi, V.I. see Polishchuk, N. V., (92d:00008) 

Travaglini, Giancarlo see Colzani, Leonardo, 92i:58176 

Verchota, Gregory see Escauriaza, Luis; et al., 92j:35020 

Vyborny, Rudolf Maximum principles, boundary point lemmas and convexity. 92h:35029 


35J20 Variational methods for second-order, elliptic equations 


Caffarelli, Luis A. (with Spruck, Joel) Variational problems with critical Sobolev growth 
and positive Dirichlet data. 924:35083 

Lasiecka, Irena Exponential decay rates for the solutions of Euler-Bernoulli equations with 
boundary dissipation occurring in the moments only. 92k:35073 

Laurence, Peter (with Stredulinsky, Edward) Convex equimeasurable rearrangement: a 
counterexample and an example. (French summary) 92j:35038 

Leaci, Antonio (with Scolozzi, D.) Existence and multiplicity of nonlinear eigenvalues of 
the operator —A — g with respect to two obstacles. (Italian. English summary) 92a:35048 

Scolozzi, D. see Leaci, Antonio, 92a:35048 

Spruck, Joel see Caffarelli, Luis A., 92d:35083 

Stredulinsky, Edward see Laurence, Peter, 92j:35038 

Xu, Hai Xiang Existence of nonzero solutions to the natural boundary value problem for 
elliptic systems of second order. (Chinese. English summary) 92e:35062 


Items with secondary classifications in 35J20 

Bernardi, Christine (with Girault, Vivette; Halpern, Laurence) Variational formulation for 
a nonlinear elliptic equation in a three-dimensional exterior domain. 92¢:35046 

Bonnans, Joseph Frédéric The Pontryagin principle for the control of elliptic systems with 
state constraints: the penalty method. (Spanish) 92f:49009 

Brézis, Haim * Mathematical problems of liquid crystals. 92e:58049 

Cao, Guo Xiang see He, Ye; et al., 92j:65169 

Casas Renteria, Eduardo (with Fernandez, Luis Alberto) On the variational formulation of 
the Neumann problem for quasilinear equations. (Spanish) 92d4:35096 

Chen, Wen Xiong (with Li, Congming) Prescribing Gaussian curvatures on surfaces with 
conical singularities. 92j:53004 

Citti, Giovanna Existence of positive solutions of quasilinear degenerate elliptic equations 
on unbounded domains. (Italian summary) 92m:35101 

Coffman, Charles V. (with Ziemer, William K.) A prescribed mean curvature problem on 
domains without radial symmetry. 92d:35098 

Collins, Charles (with Luskin, Mitchell) Optimal-order error estimates for the finite 
element approximation of the solution of a nonconvex variational problem. 92a:65276 

Deng, Yin Bin On the superlinear Amb i-Prodi problem involving critical Sobolev 
exponents. 92k:35098 

Di Piazza, Luisa A perturbation result for a class of superlinear variational elliptic 
problems. (Italian. English summary) 92j:35065 

Fang, Hui Zhong Variational problems and non-Dirichlet problems of quasilinear 
degenerate elliptic equations. 92h:35003 








575 1992 


Fetkan, Michal A symmetry theorem for variational problems. 92d:47082 

Fernandez, Luis Alberto see Casas Renteria, Eduardo, 92d:35096 

Floer, Andreas Elliptic methods in variational problems. 92k:58059 

Fursikov, A. V. The Cauchy problem for a second-order elliptic equation in a conditionally 
well-posed formulation. (Russian) 92a:35049 

Garguichevich, Graciela G. (with Tarzia, Domingo Alberto) A two-phase Stefan problem 
with internal energy source. (Spanish) 92e:35176 

Gatica, Gabriel N. (with Hsiao, George C.) On a class of variational formulations for some 
nonlinear interface problems. (Italian summary) 92m:35089 

Girault, Vivette see Bernardi, Christine; et al., 92c:35046 

Halpern, Laurence see Bernardi, Christine; et al., 92c:35046 

He, Ye (with Cao, Guo Xiang; Wang, Yuan Ming) Theory and method of eliminating 
numerical oscillation of diffusion-drift equation. 92j:65169 

Hebey, Emmanuel (with Vaugon, Michel) Remarque sur le probléme de Yamabe. (English 
summary) [A remark about the Yamabe problem] 92c:53018 

— (with Vaugon, Michel) Multiplicité pour le probléme de Yamabe. (English summary) 
[Multiplicity for the Yamabe problem] 92c:53019 

Hook, Stephen M. Bounds for the fundamental frequencies of an elastic medium. 
92m:35194 

Hsiao, George C. see Gatica, Gabriel N., 92m:35089 

Kazakov, A. Ya. A “topological” variant of the Casirair effect. (Russian) 92a:81128 

Kobachi, Nobuo (with Yoshida, Kiyoshi) Existence and qualitative theorems for nonnega- 
tive solutions of a semilinear elliptic equation. 924:35027 

Kuzin, I. A. A variational method for determining the critical points of a functional and its 
application. (Russian) 92f:49002 

Li, Congming see Chen, Wen Xiong, 92j:53004 

Liu, Xiu Pu Nonexistence theorems for solutions to exterior problems for semilinear elliptic 
systems. (Chinese. English summary) 92g:35073 

Laskin, Mitchell see Collins, Charles, 92a:65276 

Ma, Li Some notes about positive solutions of Au + a(x)u + u(%+2)/(N-2) = 0. 92):35067 

Ma, Ru Nian see Shen, Yao Tian; et al., 92i:35053 

Panchenkov, A. N. A new area of application for a class of ill-posed extremal problems. 
(Russian) 92m:76017 

Peternell, Thomas (with Schneider, Michael Hellmut) Compactifications of C”: a survey. 
92j:32105 

Rey, Olivier Blow-up points of solutions to elliptic equations with limiting nonlinearity. 
921:35056 

Rother, Wolfgang! The existence of infinitely many solutions all bifurcating from 4 = 0. 
92h:35022 

Saavedra, Patricia (with Scott, L. Ridgway) Variational formulation of a model free- 
boundary problem. 92a:35166 

Schechter, Martin A variation of the mountain pass lemma and applications. 92k:35107 

Schneider, Michael Hellmut see Peternell, Thomas, 92j:32105 

Scott, L. Ridgway see Saavedra, Patricia, 92a:35166 

Serovaiskii, S. Ya. Necessary and sufficient conditions for optimality for a system described 
by a nonlinear elliptic equation. (Russian) 92j:49020 

Shen, Yao Tian (with Ma, Ru Nian) On the natural growth quasilinear elliptic Euler 
equations. 92i:35053 

Tarzia, Domingo Alberto see Garguichevich, Graciela G., 92e:35176 

Taylor, Jean E. Crystals, in equilibrium and otherwise. 92¢:58019 

Vaugon, Michel see Hebey, Emmanuel, 92c:53018 and 92c:53019 

Wang, Chuan Fang (with Xue, Ru Ying) Nontrivial solutions for some semilinear elliptic 
equations with critical Sobolev exponents. 92i:35054 

Wang, Shixiao Some nonlinear elliptic equations with subcritical growth and critical 
behavior. 92d:35112 

Wang, Xu Jia Neumann problems of semilinear elliptic equations involving critical Sobolev 
exponents. 92j:35072 

Wang, Yuan Ming see He, Ye; et al., 92j:65169 

Wang, Zhi Qiang On a superlinear elliptic equation. (French summary) 92a:35064 

Weisz, Juraj A posteriori error estimate of approximate solutions to a nonlinear elliptic 
boundary value problem. (Russian and Slovak summaries) 92g:35076 

Xue, Ru Ying see Wang, Chuan Fang; et al., 92i:35054 

Yoshida, Kiyoshi see Kobachi, Nobuo, 92d:35027 

Zhang, Zheng Jie The eigenvalue problem of quasilinear elliptic equation. 92h:35178 

Zhu, Xi Ping A perturbation result on positive entire solutions of a semilinear elliptic 
equation. 92g:35019 

Ziemer, William K. see Coffman, Charles V., 92d:35098 


35J25 Boundary value problems for second-order, elliptic 
equations 


Abd El-Rady, A. S. (with El-Sherbiny, H. M.; Akll, M. S.) On asymptotic properties of 
solutions of inhomogeneous second order elliptic equations in the exterior of a bounded 
region. (Arabic summary) 92j:35039 

Ahner, John F. (with Wiener, Howard W.) On an exterior Laplace equation problem with 
Robin boundary condition. 92¢:35063 

Akll, M.S. see Abd El-Rady, A. S.; et al., 92j:35039 

Aliev, N. A. (with Suleimanov, N.S.) Investigation of the solution of boundary value 
problems containing a parameter in the boundary condition. (Russian) (see 92g:00019) 

Babayan, A. O. A boundary value problem for the Bitsadze equation. (Russian. Armenian 
summary) 92h:35055 

Bagirov, L. A. (with Myshkis, P. A.) An a priori estimate for the solution of boundary 
value problems for a second-order elliptic equation in domains with edges. (Russian) 
924:35084 

Chechkin, G. A. Boundary value problems for an elliptic second-order equation with 
oscillating boundary conditions. (Russian) (see 92d:35008) 

Di Fazio, Giuseppe Poisson equations and Morrey spaces. 92k:35074 

Di Gironimo, Patrizia (with Transirico, Maria) Second order elliptic equations in weighted 
Sobolev spaces on unbounded domains. (Italian summary) 92k:35075 


35J Partial differential equations of elliptic type 


35J25 


— (with Transirico, Maria) Existence and uniqueness results for the Dirichlet problem in 
unbounded domains. (Italian summary) 92m:35064 

El-Sherbiny, H. M. see Abd El-Rady, A. S.; et al., 92j:35039 

Faierman, Mel An elliptic boundary value problem in a half-space. (Italian summary) 
92m:35065 

Fursikov, A. V. The Cauchy problem for a second-order elliptic equation in a conditionally 
well-posed formulation. (Russian) 92a:35049 

Guan, Pengfei On an example of a subelliptic boundary value problem. 92h:35056 

Guo, Yu Zhu (with Qiu, Feng) The boundary value problems and initial-boundary value 
problems for systems of second order partial differential equations. (see 92a:00039) 

Gurzova, G. V. The Dirichlet problem for an elliptic equation with two planes of singularity 
in a cylindrical domain. (Russian) (see 92d:35003) 

Han, Hou De (with Wu, Xiao Nan) The approximation of the exact boundary conditions at 
an artificial boundary for linear elastic equations and its applications. 92k:35076 

Karachik, V. V. Solvability of a problem with higher-order normal derivatives with respect 
to the boundary. (Russian) 

Katrakhov, V. V. Singular boundary value problems for some elliptic equations in domains 
with corner points. (Russian) 92f:35054 

— see also Kipriyanov, I. A., 92j:35040 

Kenig, Carlos E. Boundary value problems for elliptic equations. 92b:35050 

Kesavan, S. On a comparison theorem via symmetrisation. 92h:35057 

Kipriyanov, I. A. (with Katrakhov, V. V.) A boundary value p for second-order 
elliptic equations in domains on a sphere. (Russian) 92j:35040 

Kosmodem’yanskii, A. A., Jr. A theorem on the representation of the solution of the second 
boundary value problem. (Russian) 92f:35055 

Krutin’, Yu. 1. (with Tuchkin, Yu. A.; Shestopalov, V. P.) Regularization of a boundary 
value problem on diffraction by a semitransparent lattice made of rods of arbitrary cross 
section with the Dirichlet boundary condition. (Russian) 92k:35077 

Lancaster, Kirk E. Boundary behavior near re-entrant corners for solutions of certain 
elliptic equations. 92m:35066 

Lasiecka, Irena (with Triggiani, Roberto) Exact controllability of the Euler-Bernoulli 
equation with boundary controls for displacement and moment. 92h:35058 

— (with Triggiani, Roberto) Regularity theory for a class of nonhomogeneous Euler- 
Bernoulli equations: a cosine operator approach. 92h:35059 

Lieberman, Gary M. The Dirichlet problem with L” boundary data in domains with Dini 
continuous normal. 92j:35041 

Luo, You Song Second order elliptic equations with Venttsel’ boundary conditions. 
92m:35067 

— (with Trudinger, Neil S.) Linear second order elliptic equations with Venttsel’ boundary 
conditions. 92i:35040 

Maz’ya, V.G. (with Nazarov, S. A.; Plamenevskii, B. A.) * Asymptotische Theorie elliptis- 
cher Randwertaufgaben in singular gestérten Gebieten. I. (German) [Asymptotic theory 
of elliptic boundary value problems in singularly perturbed domains. I.] 92g:35059 

Myshkis, P. A. see Bagirov, L. A., 92d:35084 

Nazarov, S. A. see Maz'ya, V. G.; et al., 92g:35059 

Nguyén Phuong Cac On a Dirichlet problem with jumping nonlinearity. 92g:35060 

Oganesyan, G. R. The weighted Dirichlet problem for a second-order singular elliptic 
equation. (Russian. English and Armenian summaries) 92m:35068 

Paneyakh, B. P. On the theory of the solvability of the oblique derivative problem. II. 
(Russian) 92d:35085 

Pettineo, Maria On the nonregular oblique derivative problem with respect to elliptic linear 
partial differential equations. (Italian. English summary) 92i:35041 

Plamenevskii, B. A. see Maz’'ya, V. G.; et al., 92g:35059 

Qiu, Feng see Guo, Yu Zhu, (92a:00039) 

Radzhabov, N.R. Ri Hilbert b y value p 
elliptic systems with singular coefficients. (see 92h:00020) 

Shestopalov, V. P. see Krutin’, Yu. 1.; et al., 92k:35077 

Suleimanov, N.S. see Aliev, N. A., (92g:00019) 

Transirico, Maria see Di Gironimo, Patrizia, 92k:35075 and 92m:35064 

Triggiani, Roberto see Lasiecka, Irena, 92h:35058 and 92h:35059 

Trudinger, Neil S. see Luo, You Song, 92i:35040 

Tuchkin, Yu. A. see Krutin’, Yu. 1.; et al., 92k:35077 

Wiener, Howard W. see Ahner, John F., 92e:35063 

Wu, Xiao Nan see Han, Hou De, 92k:35076 


Items with secondary classifications in 35J25 

Allegretto, W. (with Nistri, Paolo; Zecca, Pietro) Positive solutions of elliptic nonpositone 
problems. 92k:35088 

Amosov, B. A. Approximate solution of elliptic pseudodifferential equations on a smooth 
closed curve. (Russian. English and German summaries) 92g:35249 

Azzam, Ali Asymptotic expansions of solutions of the first boundary value problem for 
elliptic equations near corners. 92k:35049 

Babin, A. V. On the smoothness of solutions of differential equations at singular points of 
the domain boundary. (Russian) 92a:35031 

Bakhvalov, N.S. (with Knyazev, Andrei Vladimirovich) A new iterative algorithm for 
solving problems of the method of fictitious flows for elliptic equations. (Russian) 
924:65213 

Banasiak, Jacek (with Roach, Gary F.) On corner singularities of solutions to mixed 
boundary-value p for second-order elliptic and parabolic equations. 92f:35011 

Bellout, Hamid (with Friedman, Avner; Isakov, Victor) Stability for an inverse problem in 
potential theory. 92j:31010 

Beretta, Elena (with Vogelius, Michael) An inverse problem originating from magnetohy- 
drodynamics. 924:35294 

Bhattacharya, Kaushik Korn’s inequality for sequences. 92i:73030 

Cerutti, M. Cristina (with Escauriaza, Luis; Fabes, Eugene B.) Uniqueness for some 
diffusions with discontinuous coefficients. 92i:60137 

Chabrowski, J. Existence results for singular elliptic equations. 92m:35077 

Cianchi, Andrea Elliptic equations on manifolds and isoperimetric inequalities. 92i:58193 

Costabel, Martin (with Dauge, Monique) Développement asymptotique le long d’une aréte 
pour des équations elliptiques d’ordre 2 dans R>. (English summary) [Edge asymptotics 





hi 


for the second-order linear 














35325 


for second-order elliptic equations in piecewise analytic domains in R*] 92a:35034 

Dauge, Monique see Costabel, Martin, 92a:35034 

Delfour, Michel C. (with Zolésio, Jean-Paul) Anatomy of the shape Hessian. (French 
summary) 92k:35016 

Eizenberg, Alexander The exponential leveling in elliptic singular perturbation problems 
with complicated attractors. 92b:35022 

Escauriaza, Luis see Cerutti, M. Cristina; et al., 92i:60137 

Fabes, Eugene B. see Cerutti, M. Cristina; et al., 92i:60137 

Feng, De Xing see Zhang, Wei Tao, 92h:49018 

Finzi Vita, Stefano (with Tchou, Nicoletta Anna) Correctors results for relaxed Dirichlet 
problems. 92k:35038 

Friedman, Avner see Bellout, Hamid; et al., 92j:31010 

Fursevich, L. V. see Galitsyn, A. S., 92k:35117 

Gadzhiev, M. M. Well-posedness of multidimensional inverse problems for some classes of 
degenerate elliptic equations. (Russian) 92i:35124 

Galitsyn, A.S. (with Fursevich, L. V.) A method for solving essentially nonhomogeneous 
problems of heat conduction with boundary conditions of impedance type. (Russian) 
92k:35117 

Gavrikov, A. I. Functional-integral equations and elliptic boundary value problems. 
(Russian) 92j:35184 

Grachev, N. V. (with Maz'ya, V.G.) A contact problem for the Laplace equation in the 
exterior of the boundary of a dihedral angle. (Russian) 92i:35036 

Hamann, Uwe (with Wildenhain, Giinther) Approximation by solutions of elliptic 
boundary value problems. 92f:35016 

Héron, Bernard (with Mossino, Jacqueline; Picard, Colette) Homogénéisation de structures 
stratifiées avec faible et forte conductivités. (English summary) [Homogenization of 
stratified structures with low and high conductivities] 92m:35022 

Hook, Stephen M. Bounds for the fundamental frequencies of an elastic medium. 
92m:35194 

Ioffe, Dimitri (with Pinsky, Ross G.) Asymptotics for the solution of the exterior Dirichlet 
problem for second-order elliptic operators with small first-order perturbations. 
92h:60121 

Isakov, Victor see Bellout, Hamid; et al., 92j:31010 

Ito, Hiroya On certain mixed-type boundary value problems of elastostatics—with a simple 
example of Melin’s inequality for a system. 92i:35138 

Jerison, David Regularity of the Poisson kernel and free boundary problems. 92b:35177 

Kipriyanova, N.1I. Uniform convergence of expansions in eigenfunctions of a B-harmonic 
operator in a closed domain. (Russian) 

Knyazev, Andrei Vladimirovich see Bakhvalov, N. S., 92d:65213 

Kwong, Man Kam (with Li, Yi*) Uniqueness of radial solutions of semilinear elliptic 
equations. 92k:35102 

Li, Yi?_ see Kwong, Man Kam, 92k:35102 

Lubyshev, F. V. Approximation and regularization of optimal control problems for a 
nonselfadjoint elliptic equation with variable coefficients. (Russian) 92b:49055 

Malamud, M. M. Boundary value problems for Hermitian operators with gaps. (Russian) 
92¢:47028 

Maz'ya, V.G. see Grachev, N. V., 92i:35036 

Mekh, I. Ya. On the smoothness of weak solutions of systems that are elliptic in the sense of 
Douglis and Nirenberg. (Russian. Ukrainian summary) 92k:35050 

Mokin, Yu. I. Calculation of the Green functions for elliptic operators with discontinuous 
coefficients. (Russian) 92i:35121 

Mossino, Jacqueline see Héron, Bernard; et al., 92m:35022 

Nistri, Paolo see Allegretto, W.; et al., 92k:35088 

Picard, Colette see Héron, Bernard; et al., 92m:35022 

Pinsky, Ross G. see Ioffe, Dimitri, 92h:60121 

Plum, Michael Bounds for eigenvalues of second-order elliptic differential operators. 
92h:35167 

Radzhabov, N. R. Integral representations and boundary value problems for some second 
order linear elliptic systems with regular and singular coefficients. (see 92d:30002) 

Roach, Gary F. see Banasiak, Jacek, 92f:35011 

Selmi, Mohamed Comparaison des noyaux de Green sur les domaines C!!. [Comparison of 
Green kernels on C':! domains] 92k:35048 

Shestopalov, Yu. V. On the theory of cylindrical resonators. 92¢:78016 

Shi, Xue Yu Boundary value problems for a class of elliptic equations with discontinuous 
coefficients in a half-space. (Chinese. English summary) 92d:35288 

Soldatov, A. P. * OnHoMepxbie CHHTy1spHbIe OnepaTopbi H KpaeBble 3aa4H Teopun yHKUMH. 
(Russian) [One-dimensional singular operators and boundary value problems in function 
theory] 92i:47060 

Sun, Zi Qi The inverse conductivity problem in two dimensions. 92a:35163 

Tchou, Nicoletta Anna see Finzi Vita, Stefano, 92k:35038 

Tsybikov, B. N. An inverse problem for an elliptic equation. (Russian) 92i:35128 

Vegas, José M. A functional-analytic framework for the study of elliptic equations on 
variable domains. 92d:35111 

Vespri, Vincenzo Analytic semigroups generated by ultraweak operators. 92j:47074 

Vogelius, Michael see Beretta, Elena, 924:35294 

Wildenhain, Ginther see Hamann, Uwe, 92f:35016 

Wirsching, Giinther A theorem on global regularity of solutions of a singular elliptic 
equation. 92g:35039 

Zakirov, S. Kh. A nonlocal boundary value problem for an elliptic equation that is 
degenerate inside the domain. (Russian) 92j:35075 

Zecca, Pietro see Allegretto, W.; et al., 92k:35088 

Zhang, Wei Tao (with Feng, De Xing) Analysis of the boundary singularity of a singular 
optimal control problem. 92h:49018 

Zhao, Qian Gui A numerical method for solving the inverse problem of parameters for two- 
dimensional elliptic equations. (Chinese. English summary) 92j:35190 

Zolésio, Jean-Paul see Delfour, Michel C., 92k:35016 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 576 


35J30 General theory of higher-order, elliptic equations 
[see also 31A30, 31B30] 


Amdebrhan, Tewodros An integral inequality for a class of elliptic operators of fourth order. 
(Italian summary) 92k:35078 

Cosner, Chris On the definition of ellipticity for systems of partial differential equations. 
92h:35060 

Davtyan, A. A. On the spaces w} and coercive properties of equations of elliptic type. 
(Russian) 924:35086 

Headley, V. B. Nodal oscillation and weak oscillation of elliptic equations of order 2m. 
92¢:35038 

Kounchev, Ognyan Iv. Exact estimates of the Laplacian of a polyharmonic function and 
approximation through polyharmonic functions. 92j:35042a 

— Sharp estimate of the Laplacian of a polyharmonic function and applications. 92j:35042b 

Quarteroni, Alfio (with Valli, Alberto) Theory and application of Steklov-Poincaré 
operators for boundary-value problems. 92m:35069 

Usami, Hiroyuki On bounded positive entire solutions of fourth order semilinear elliptic 
equations. 92g:35061 

Valli, Alberto see Quarteroni, Alfio, 92m:35069 

Yoshida, Norio Oscillatory properties of solutions of certain elliptic equations. 92m:35070 


Items with secondary classifications in 35J30 


Bouchekif, Mohammed (with Gérowski, J.) Propriétés oscillatoires des solutions de 
certaines équations elliptiques. (Serbo-Croatian summary) [Oscillation properties of the 
solutions of some elliptic equations] 92h:35007 

— Comportement oscillatoire des solutions d’une équation elliptique. (English summary) 
[Oscillatory behavior of the solutions of an elliptic equation] 92k:35015 

Foote, Robert L. Homogeneous complex Monge-Ampére equations and algebraic embed- 
dings of parabolic manifolds. 92f:32023 

Gérowski, J. see Bouchekif, Mohammed, 92h:35007 

Grundland, Alfred M. On the behaviour of solutions of the Laplace-Beltrami equations. 
92a:35009 

Headley, V. B. Elliptic oscillation theory. (German and Russian summaries) 92c:35009 

Heise, Ulrich Singular and fundamental solutions to potential and elasticity problems for a 
Riemann surface. 92¢:35031 

Ikehata, Masaru A special Green’s function for the biharmonic operator and its application 
to an inverse boundary value problem. 92g:35229 

Kalita, E. A. The Liouville theorem for higher-order elliptic systems of Cordes type. 
(Russian. Ukrainian summary) 924:35026 

Roitberg, Ya. A. (with Serdyuk, V. A.) Theory of solvability in generalized functions 
for elliptic problems with a parameter, for general systems of equations. (Russian) 
92a:35036 

Serdyuk, V. A. see Roitberg, Ya. A., 92a:35036 

Skrypnik, I. V. A condition for the regularity of a boundary point for a higher-order 
quasilinear elliptic equation. (Russian) 

Skubachevskii, A. L. On the stability of index of nonlocal elliptic problems. 92m:58128 

Stankovié, Bogoljub S-asymptotic of solutions of the elliptic partial differential equation. 
(Serbo-Croatian summary) 92a:35026 

Strugov, Yu. F. Homeomorphism of some classes of three-dimensional p-harmonic 
mappings. (Russian) 92g:31011 

Watanabe, Kazuo Smooth perturbations of the selfadjoint operator |A|*/?. 92j:47094 


35J35 Variational methods for higher-order, elliptic equations 


Rossmann, Jiirgen The asymptotics of the solutions of linear elliptic variational problems in 
domains with edges. (German and Russian summaries) 92j:35043 


Items with secondary classifications in 35J35 


Badiale, Marino (with Citti, Giovanna) Concentration compactness principle and 
quasilinear elliptic equations in R". 92m:35075 

Chabrowski, J. On entire solutions of the p-Laplacian. 92m:35076 

Citti, Giovanna see Badiale, Marino, 92m:35075 

Edmunds, David E. (with Fortunato, Donato; Jannelli, Enrico) Fourth-order nonlinear 
elliptic equations with critical growth. (Italian summary) 92m:35088 

Faierman, Mel (with Mennicken, Reinhard) An elliptic boundary value problem depending 
nonlinearly upon the eigenvalue parameter. 92k:35212 

Fortunato, Donato see Edmunds, David E.; et al., 92m:35088 

Geba, Leszek (with Pruszko, Tadeusz) Some applications of minimax and topological 
degree to the study of the Dirichlet problem for elliptic partial differential equations. 
92m:35072 

Jannelli, Enrico see Edmunds, David E.; et al., 92m:35088 

Laurence, Peter (with Stredulinsky, Edward) Existence of regular solutions with convex 
levels for semilinear elliptic equations with nonmonotone L! nonlinearities. I. An 
approximating free boundary problem. 92m:35279 

Mennicken, Reinhard see Faierman, Mel, 92k:35212 

Pruszko, Tadeusz see Geba, Leszek, 92m:35072 

Schechter, Martin Solution of nonlinear problems at resonance. 92b:35057 

Stredulinsky, Edward see Laurence, Peter, 92m:35279 

Wei, Zhi Hui (with Wu, Xin Min) A multiplicity result for quasilinear elliptic equations 
involving critical Sobolev exponents. 92m:35098 

Wu, Xin Min see Wei, Zhi Hui, 92m:35098 


35J40 Boundary value problems for higher-order, elliptic 
equations 


Atakhodzhaev, M. A. On the nonuniqueness of the solution of an ill-posed problem for the 
biharmonic equation. (Russian) 92m:35071 

Bugir, M. K. Uniqueness conditions for a boundary value problem for fourth-order 
equations of elliptic type. (Russian. English summary) 92k:35079 

Gatica, Gabriel N. On the coerciveness property of the biharmonic operator. 92k:35080 





577 1992 


Geba, Leszek (with Pruszko, Tadeusz) Some applications of minimax and topological 
degree to the study of the Dirichlet problem for elliptic partial differential equations. 
92m:35072 

Guidetti, Davide On elliptic problems in Besov spaces. 92f:35056 

Gupta, Chaitan P. (with Kwong, Ying C.; Netas, Jindtich) Nonresonance conditions for the 
strong solvability of a general elliptic partial differential operator. 92h:35061 

Hamann, Uwe Approximation durch Lésungen elliptischer Randwertprobleme auf offenen 
Mengen. I. (English and Russian summaries) [Approximation on open sets by solutions of 
elliptic boundary value problems. I] 92h:35062 

Korotiski, Jan (with Zdankiewicz, Zbigniew) Boundary value problem for the equation 
Au = f and for the strip of the p-dimensional space with boundary conditions of Riquier 
type. (Polish summary) (see 92c:00013) 

Kovalenko, I. A. (with Roitberg, Ya. A.) Solvability of boundary value problems that are 
elliptic with a parameter for general systems of equations in Ly-spaces of generalized 
functions. (Russian) 92f:35057 

Kwong, Ying C. see Gupta, Chaitan P.; et al., 92h:35061 

Lé Quang Trung A noncoercive problem for singular integro-differential equations. 
(Russian) 92a:35050 

Linttner, Malgorzata On the linear boundary value problem for a certain elliptic equation of 
order 2p in the ball. (Polish summary) (see 92c:00013) 

Romuald Estimates of the solution of the boundary value problem with a complex 
parameter for a certain elliptic system. 92i:35042 

Mallozzi, Lina On Dirichlet’s problem for the quasi-elliptic equation (92, — x3)?*—'u + 
(82 — x?)u =0 in x, > 0 with slowly increasing boundary condition. (Italian summary) 
92k:35081 

Mamedova, N. G. Application of the residue method to the solution of a mixed problem for 
a fourth-order equation in a two-dimensional domain. (Russian) 92f:35058 

Nazarov, S. A. Asymptotic behavior of the solution of the Dirichlet problem in an angular 
domain with a periodically changing boundary. (Russian) 92g:35062 

Netas, Jindiich see Gupta, Chaitan P.; et al., 92h:35061 

Nicaise, Serge Differential equations in Hilbert spaces and applications to boundary value 
problems in nonsmooth domains. 92a:35051 

Pipher, Jill (with Verchota, Gregory) Area integral estimates for the biharmonic operator 
in Lipschitz domains. 92a:35052 

Pruszko, Tadeusz see Geba, Leszek, 92m:35072 

Roitberg, Ya. A. see Kovalenko, I. A., 92f:35057 

Schot, Steven H. A simple solution method for the first boundary value problem of the 
polyharmonic equation. 92b:35051 

Sten‘kin, V. V. A method for reducing the solution of the biharmonic equation to boundary 
integral equations. (Russian. English summary) 

Verchota, Gregory see Pipher, Jill, 92a:35052 

Zdankiewicz, Zbigniew see Kororiski, Jan, (92c:00013) 


Items with secondary classifications in 35J40 

Bil'man, B. M. (with Dzhangibekov, G.) Some systems of two-dimensional singular integral 
equations. (Russian) 92i:45003 

Cai, Jian Ping Singular perturbation of elliptic fourth-order equations with turning points. 
(Chinese. English summary) 92d:35038 

Chen, Zu Chi (with Qian, Chun Lin) Estimates for discrete spectrum of Laplacian operator 
with any order. (Chinese summary) 92c:35087 

Dalmasso, Robert On singular nonlinear elliptic problems of second and fourth orders. 
(French summary) 92m:35086 

Drabek, Pavel (with Nicolosi, Francesco) Semilinear boundary value probl 
with general nonlinearities. 92k:35099 

Dzhangibekov, G. see Bil'man, B. M., 92i:45003 

Egorov, Yurii Viadimirovich (with Kondrat'ev, V. A.) The negative spectrum of an elliptic 
operator. (Russian) 924:35209 

Hamann, Uwe (with Wildenhain, Giinther) Approximation by solutions of elliptic 
boundary value problems. 92f:35016 

— Approximation mittels Linearkombinationen von Fundamentallésungen elliptischer Dif- 
ferentialoperatoren. (English summary) [Approximation by means of linear combinations 
of fundamental solutions of elliptic differential operators] 92j:41032 

Jensen, Soren S. An Hj" interpolation result. 92¢:65117 

Kaper, Hans G. (with Knaap, Mariette; Kwong, Man Kam) Existence theorems for second 
order boundary value problems. 92m:34059 

Kipriyanova, N.I. A mean-value theorem for iterations of the operator Ag from solutions of 
a B-polyharmonic equation. (Russian) 92f:35019 

Knaap, Mariette see Kaper, Hans G.; et al., 92m:34059 

Kondrat'ev, V. A. see Egorov, Yurii Vladimirovich, 92d:35209 

Kozlov, Vladimir Arkad’evich (with Maz'ya, V.G.) On the spectrum of an operator pencil 
generated by the Neumann problem in a cone. (Russian) 92m:47093 

— (with Rossmann, Jiirgen) On the behaviour of the spectrum of parameter-dependent 
operators under small variation of the domain and an application to operator pencils 
generated by elliptic b y value p inacone. 92m:47095 

— On the spectrum of a pencil generated by the Dirichlet problem for an elliptic equation in 
an angle. (Russian) 92m:47094 

Kwong, Man Kam see Kaper, Hans G.,; et al., 92m:34059 

Le Van Hap see Tran-Dii’c Van, 92¢:35131 

Levashkin, S. P. Asymptotic properties for generalized solutions of the Dirichlet problem 
for a polyharmonic equation in nonsmooth domains. (Russian) 

Levendorskii, S. Z. The asymptotics of the spectrum of operators that are elliptic in the 
sense of Douglis-Nirenberg. (Russian) 92a:35124 

Levitskii, B. E. Reduced p-modulus and the interior p-harmonic radius. (Russian) 
92h:30049 

Lin, Zong Chi Singular perturbation of the fourth order elliptic equation when the limit 
equation is elliptic-parabolic. (Chinese. English summary) 92a:35016 

Liu, Guo Qing see Su, Yu Cheng; et al., 92k:65149 

Maz’ya, V.G. (with Rossmann, Jiirgen) On the Agmon-Miranda maximum principle for 
solutions of elliptic equations in polyhedral and polygonal domains. 92h:35027 

— see also Kozlov, Viadimir Arkad’evich, 92m:47093 





at resonance 





35J Partial differential equations of elliptic type 


35545 


Mo, Jia Qi Singularly perturbed elliptic partial differential equations of fourth order. 
(Chinese. English summary) 92k:35024 

Najman, B. Resolvent estimates for singularly perturbed elliptic operators. (Serbo-Croatian 
summary) 92¢:35017 

Nicolosi, Francesco see Drabek, Pavel, 92k:35099 

Peikrishvili, N.S. Approximate solution of boundary value probl 
equation. (Russian) 

Qian, Chun Lin see Chen, Zu Chi; et al., 92c:35087 

Rossmann, Jiirgen see Maz'ya, V. G., 92h:35027 and Kozlov, Viadimir Arkad’evich, 
92m:47095 

Su, Yu Cheng (with Liu, Guo Qing) Numerical solution of singular perturbation prob- 
lems for the fourth-order elliptic differential equations. (Chinese. English summary) 
92k:65149 

Tran-Di’c Van (with Le Van Hap) On the uniqueness of the solution for the boundary value 
problem of infinite order. 92¢:35131 

Tsoi, Sun Bon The Neumann problem for the biharmonic equation. (Russian) 92h:31003 

Wildenhain, Ginther see Hamann, Uwe, 92f:35016 





for the biharmonic 


35J45 General theory of elliptic systems of PDE 


Balabaev, V. E. First-order canonical elliptic systems. (Russian) 92k:35082 

Dzhangibekov, G. A problem of linear conjugation of solutions to elliptic systems of 
differential equations with singular coefficients in the plane. (Russian) 92h:35063 

Furusho, Yasuhiro Existence of positive entire solutions for weakly coupled semilinear 
elliptic systems. 92j:35044 

Headley, V. B. Oscillation and nonoscillation theorems for linear elliptic systems. 
92d:35087 

Ha, Min De The stability of solutions for elliptic systems of several complex equations of 
first order. (see 92a:00039) 

Ishii, Hitoshi (with Koike, Shigeaki) Viscosity solutions for monotone systems of second- 
order elliptic PDEs. 92h:35066 

Koike, Shigeaki see Ishii, Hitoshi, 92h:35066 

Li, Gong Bao see Yan, Shu Sen; et al. 

Malikov, Z. Cauchy problems for the multidimensional Cauchy-Riemann system. (Russian) 

Mshimba, Ali Seif General solution for first order elliptic systems in the plane. (see 
92i:00023) 

— The Riemann b 
W, p(D). 92a:35053 

Noussair, Ezzat S. (with Swanson, Charles A.) Properties of potential systems in R”. 
92k:35083 

Renelt, H. An integral formula for the derivatives of solutions of certain elliptic systems. 
92)j:35045 

Shaker, A. W. On symmetry in elliptic systems. 92¢:35039 

Singh, Kumud Nonlinear elliptic systems in unbounded domain with quadratic growth 
conditions. 92a:35054 

Soldatov, A. P. A mixed-contact boundary value problem for elliptic systems. (Russian) 
92a:35055 

Swanson, Charles A. see Noussair, Ezzat S., 92k:35083 

Tarasov, R. P. The Cauchy problem for equations of wave packets in a curved dielectric 
cylinder. (Russian) 92a:35056 

Tarkhanov, N. N. Approximation in Sobolev spaces by solutions of elliptic systems. 
(Russian) 92a:35057 

Vinogradov, V.S. Construction of regularizers for elliptic boundary problems on the plane. 
(Russian) 92a:35058 

— On the reduction of a first-order elliptic system in the plane to a complex special form. 
(Russian) 92k:35084 

Yan, Shu Sen (with Li, Gong Bao) Partial regularity for weak solutions of quasilinear 
elliptic systems. 





y value problem for nonlinear elliptic systems in Sobolev space 


Items with secondary classifications in 35J45 


Bakhvalov, N.S. (with Knyazev, Andrei Vladimirovich) Effective computation of averaged 
characteristics of composites of periodic structure that consist of essentially different 
materials. (Russian) 92m:73007 

Basheleishvili, M.O. Generalized Cauchy-Riemann conditions in the two-dimensional 
theory of elasticity and some of their applications. (Russian. English and Georgian 
summaries) 92h:73019 

Begehr, Heinrich G. W. see Wen, Guo Chun, 92a:35002 

Boimatov, K. Kh. On the asymptotics of the eigenvalues of nonselfadjoint elliptic systems in 
arbitrary domains of finite measure. (Russian) 92b:35112 

Bojarski, Bogdan Old and new on Beltrami equations. (see 92i:00023) 

Chen, Bao Yao see He, Xu Dong; et al., 92f:35043 

Cosner, Chris (with Schaefer, Philip W.) Some comparison principles for weakly coupled 
systems of elliptic equations. 92d:35024 

— On the definition of ellipticity for systems of partial differential equations. 92h:35060 

Dzhuraev, A. D. On kernel matrices and holomorphic vectors. 92¢:32020 

Fan, Guangwei see Leung, Anthony W., 92d:65218 

He, Xu Dong (with Chen, Bao Yao) Regularity of H' m L"’-'/2-” weak solutions for 
nonlinear elliptic systems. 92f:35043 

Hélein, Frédéric Régularité des applications faiblement harmoniques entre une surface et 
une sphére. (English summary) [Regularity of weakly harmonic maps between a surface 
and an n-sphere] 92a:58034 

Hernandez, Jestis Maximum principles and decoupling for positive solutions of reaction- 
diffusion systems. 92a:35001 

Ishii, Hitoshi Perron’s method for monotone systems of second-order elliptic partial 
differential equations. 92h:35071 

Khapko, R. S. Integral representation and fundamental solutions of some systems of elliptic 
equations. (Russian. English summary) 

Knyazev, Andrei Vladimirovich see Bakhvalov, N. S., 92m:73007 

Leung, Anthony W. (with Fan, Guangwei) Positive solutions for degenerate and nondegen- 
erate elliptic systems: existence and numerical approximations. 924:65218 





35345 


Li, Sheng Hong The Hélder continuity of solutions to general quasilinear weakly elliptic 
systems of equations of divergence type. (Chinese. English summary) 92d:35065 

Lin, Chang Hao The C' regularity of weak solutions to a class of nonlinear elliptic systems 
of equations. (Chinese. English summary) 92j:35025 

Makeev, G. N. Systems of differential equations of Laplace type. (Russian) (see 92f:00018) 

Mikeli¢, Andro Mathematical theory of stationary miscible filtration. 92e:35136 

Sabitov, K. B. Maximum modulus principles for some classes of second-order elliptic and 
hyperbolic systems. (Russian) 92a:35030 

Schaefer, Philip W. see Cosner, Chris, 924:35024 

Schulz, Friedmar * Regularity theory for quasilinear elliptic systems and Monge-Ampére 
equations in two dimensions. 92d:35002 

Shalimova, I. A. A mean-value theorem for a system of Lamé equations at a noncentral 
point. (Russian) (see 92g:65003) 

Tokibetov, Zh. A. A method for representing the solution of the generalized Cauchy- 
Riemann system. (Russian. English and Lithuanian summaries) 92j:35024 

Umbetzhanov, D. U. Almost periodic solutions of systems of equations of parabolic and 
elliptic types. (Russian. Kazakh summary) 92i:35010 

Vinogradov, V.S. Spinor systems. (Russian) 92j:35155 

Wen, Guo Chun (with Begehr, Heinrich G. W.) * Boundary value problems for elliptic 
equations and systems. 92a:35002 

— (with Yang, Guang Wu; Xu, Ke Ming) Stability of solutions to the Poincaré problem 
for a system of nonlinear elliptic second-order equations. (Chinese. English summary) 
92£:35030 

Xu, Ke Ming see Wen, Guo Chun; et al., 92f:35030 

Yang, Guang Wu see Wen, Guo Chun; et al., 92f:35030 


35J50 Variational methods for elliptic systems 


Guo, Xin Kang see Shen, Yao Tian; et al., 92h:35064 
Shen, Yao Tian (with Guo, Xin Kang) A class of quasilinear elliptic systems with natural 
growth condition. 92h:35064 


Items with secondary classifications in 35J50 

Cao, Dao Min Bifurcation for quasilinear elliptic systems on R" with natural growth 
conditions. 92m:35027 

Floer, Andreas Elliptic methods in variational problems. 92k:58059 

Fusco, Nicola (with Hutchinson, John E.) Partial regularity in problems motivated by 
nonlinear elasticity. 92k:49080 

Hutchinson, John E. see Fusco, Nicola, 92k:49080 

Lin, Sung Shan Positive radial solutions and nonradial bifurcation for semilinear elliptic 
equations in annular domains. 92k:35018 

— Existence of positive nonradial solutions for nonlinear elliptic equations in annular 
domains. 92k:35019 

Schechter, Martin The mountain pass alternative. 92d:58033 

Xu, Chao Jiang Subelliptic variational problems. (French summary) 92b:49008 


35J55 Boundary value problems for elliptic systems 


Babaev, S. A. A boundary value problem for some elliptic systems in the plane. (Russian. 
Tajiki summary) 92a:35059 

— On the uniqueness and solvability of the Dirichlet problem for some elliptic systems. 
(Russian. Tajiki summary) 

Chen, Dong Gui The second problem for a class of elliptic systems of equations of second 
order. (Chinese. English summary) 92h:35065 

Dzhuraev, A. D. Elliptic systems on the plane with discontinuous coefficients, and their 
applications. (Russian) 92b:35052 

— A boundary value problem for a system of Moisil-Teodorescu equations. (Russian) 
92e:35064 

— First-order elliptic systems that are degenerate on the boundary with two variables. 
(Russian) 92i:35043 

— On the theory of elliptic systems in multiply connected domains on the plane. (Russian) 
92i:35044 

— A first-order overdetermined elliptic system. (Russian) 92k:35085 

Ghoreishi, Afshin (with Logan, Roger) Positive solutions of a class of biological models in a 
heterogeneous environment. 92f:35059 

— see also Li, Lige, 92b:35053 

Gu, Lian Kun see Yang, Shi Xin; et al., 92i:35047 

Hu, Guo En The nonlinear boundary value problems of three elements for the first order 
quasilinear elliptic systems. 

Isakhanov, R.S. A boundary value problem of linear conjugation for solutions of systems of 
differential equations of elliptic type. (Russian. English and Georgian summaries) 

Ishii, Hitoshi (with Koike, Shigeaki) Viscosity solutions of a system of nonlinear second- 
order elliptic PDEs arising in switching games. 92h:35067 

Kalita, E. A. Behavior of solutions of quasilinear elliptic sy ata gular boundary 
point. (Russian) 92g:35063 

Koike, Shigeaki see Ishii, Hitoshi, 92h:35067 

Kozlov, Viadimir Arkad’evich (with Maz'ya, V.G.) On the spectrum of an operator pencil 
generated by the Dirichlet problem in a cone. 92i:35045 

Lé Quang Trung On a noncoercive problem for singular integro-differential equations. 
(Russian) 92k:35086 

Li, Lige (with Ghoreishi, Afshin) On positive solutions of general nonlinear elliptic 
symbiotic interacting systems. 92b:35053 

Logan, Roger see Ghoreishi, Afshin, 92f:35059 

Li, De The generalized Ri i problem for second-order elliptic systems of 
equations of class E>. (Chinese. English summary) 92d:35088 

Lui, Roger Positive solutions of an elliptic system arising from a model in evolutionary 
ecology. 92i:35046 

Maz'ya, V.G. see Kozlov, Viadimir Arkad’evich, 92i:35045 

Mshimba, Ali Seif Solutions to boundary value problems for first order elliptic systems in 
the complex plane. (see 92i:00023) 








PARTIAL DIFFERENTIAL EQUATIONS 


1992 578 





— On the solution of a mixed boundary value probl 
Sobolev spaces. 92k:35087 

Nazarov, S. A. (with Plamenevskii, B. A.) The Neumann problem for selfadjoint elliptic 
systems in a domain with a piecewise-smooth boundary. (Russian) 92e:35065 

Plamenevskii, B. A. see Nazarov, S. A., 92e:35065 

Smirnov, Yu. G. The method of operator pencils in boundary value problems of conjugation 
for a system of elliptic equations. (Russian) 92m:35073 

Soldatov, A. P. A general boundary value problem for elliptic systems. (Russian) 92a:35060 

Sulkhanishvili, G.I. On the Dirichlet problem for a four-dimensional system. (Russian. 
English and Lithuanian summaries) 92g:35064 

Sweers, Guido Strong positivity in C(Q) for elliptic systems. 92):35046 

Yang, Shi Xin (with Gu, Lian Kun) Nonnegative solutions to boundary value problems 
for a nonlinear degenerate elliptic system of equations. (Chinese. English summary) 
92i:35047 


for an elliptic differential equation in 


Items with secondary classifications in 35J55 


Azzam, Ali (with Kondrat'ev, V. A.) Schauder-type estimates of solutions of second order 
elliptic systems in divergence form, in nonregular domains. 92m:35037 

Beagles, A. E. (with Sandig, A.-M.) Singularities of rotationally symmetric solutions of 
boundary value problems for the Lamé equations. (German and Russian summaries) 
92i:73029 

Caristi, Gabriella (with Mitidieri, Enzo) Further results on maximum principles for 
noncooperative elliptic systems. 92i:35021 

Dzhuraev, A. D. On Cauchy and Schwarz problems for elliptic systems. 92b:30046 

Fan, Guangwei see Leung, Anthony W., 92e:35023 

Guo, Xin Kang see Shen, Yao Tian; et al., 92h:35064 

Kondrat'ev, V. A. see Azzam, Ali, 92m:35037 

Kovalenko, I. A. (with Roitberg, Ya. A.) Solvability of boundary value problems that are 
elliptic with a parameter for general systems of equations in L,-spaces of generalized 
functions. (Russian) 92f:35057 

Kozhevnikov, A. N. Diagonalization of systems, elliptic in the sense of Douglis-Nirenberg, 
on a manifold with boundary. (Russian) 92m:58127 

Leung, Anthony W. (with Fan, Guangwei) Existence of positive solutions for elliptic 
systems—degenerate and nondegenerate ecological models. 92e:35023 

Malecki, Romuald Estimates of the solution of the boundary value problem with a complex 
parameter for a certain elliptic system. 92i:35042 

Mitidieri, Enzo see Caristi, Gabriella, 92i:35021 

Radzhabov, N. R. Integral representations and boundary value problems for some second 
order linear elliptic systems with regular and singular coefficients. (see 92d:30002) 

Roitberg, Ya. A. see Kovalenko, I. A., 92f:35057 

Siandig, A.-M. see Beagles, A. E., 92i:73029 

Shen, Yao Tian (with Guo, Xin Kang) A class of quasilinear elliptic systems with natural 
growth condition. 92h:35064 

Singh, Kumud Quasilinear system of equations with quadratic growth in unbounded 
domains. 92j:35054 

Soldatov, A. P. Asymptotic behavior of solutions of boundary value probl 
systems near corner points. (Russian) 92¢:35037 

Stern, I. Boundary value problems for generalized Cauchy-Riemann systems in the space. 
92k:35053 

Zajaczkowski, Wojciech M. On the existence and regularity of solutions to the problem of 
transmission. 92c:35028 

Zhao, Zhen Boundary value problems for complex elliptic equations on the plane and 
singular integral equation of composite type. 92b:35037 

Zhou, Chi Ping Maximum principles for elliptic systems. 92h:35030 





for elliptic 


35J60 Nonlinear PDE of elliptic type 


Adams, David R. (with Pierre, Michel) Capacitary strong type estimates in semilinear 
problems. (French summary) 92m:35074 

Adimurthi (with Srikanth, P. N.; Yadava, S. L.) Phenomena of critical exponent in R?. 
92h:35068 

Alfimov, G. L. (with Eleonskii, V. M.; Kulagin, N. E.; Lerman, L. M.; Silin, V. P.) Non-one- 
dimensional self-localized solutions of the equations of elliptic type. (see 92i:58002) 

Allegretto, W. (with Nistri, Paolo; Zecca, Pietro) Positive solutions of elliptic nonpositone 
problems. 92k:35088 

-Hilbert problem for a first-order 

quasilinear elliptic equation in B-classes in the plane. (Russian. English and Kazakh 
summaries) 

Badiale, Marino (with Citti, Giovanna) Concentration compactness principle and 
quasilinear elliptic equations in R". 92m:35075 

Bahri, Abbas (with Li, Yan Yan) On a min-max procedure for the existence of a positive 
solution for certain scalar field equations in RY. 92b:35054 

Bauman, Patricia (with Owen, Nicholas C.; Phillips, Daniel) Maximum principles and 
a priori estimates for a class of problems from nonlinear elasticity. (French summary) 
92c:35040 

Bénilan, Philippe (with Blanchard, Dominique; Ghidouche, Hamid) On a nonlinear system 
for shape memory alloys. 92:35060 

Bennett, Allan D. Continuous dependence on modeling in the Cauchy problem for nonlinear 
elliptic equations. 92j:35047 

Blanchard, Dominique see Bénilan, Philippe; et al., 92f:35060 

Boillat, Guy Sur l’équation générale de Monge-Ampére 4 plusieurs variables. (English 
summary) [On the general Monge-Ampére equation in several dimensions] 92h:35069 

Borsuk, M. V. Behavior of generalized solutions of the Dirichlet problem for second- 
order quasilinear elliptic equations of divergence type near a conical point. (Russian) 
924:35089 

Chabrowski, J. On entire solutions of the p-Laplacian. 92m:35076 

— Existence results for singular elliptic equations. 92m:35077 

Chang, Ch’iu Chiin (with Fang, Yung Fu) Remarks on the existence of positive solutions of 
semilinear elliptic equations in R". 92k:35089 








579 1992 


Chen, Chiun Chuan (with Lin, Chang-Shou) Uniqueness of the ground state solutions of 
Au + f(u)=O0in R", n> 3. 92j:35048 

Chéng, Kuo Shun (with Ni, Wei-Ming) On the structure of the conformal Gaussian 
curvature equation on R?. 92f:35061 


— (with Wang, Jenn-Nan) On the classification of solutions of a semilinear elliptic equation. 


92h:35070 

— On the structure of solutions for some semilinear elliptic equations. (see 92m:35003) 

Chobanov, Georgi Iv. Nonzero solutions for a homogeneous semilinear elliptic equation. 
925:35049 

Choe, Hi Jun (with Lewis, John L.) On the obstacle problem for quasilinear elliptic 
equations of p Laplacian type. 92b:35055 

Citti, Giovanna see Badiale, Marino, 92m:35075 

Crandall, Michael G. (with Ishii, Hitoshi; Lions, Pierre-Louis) User’s guide to viscosity 
solutions of second order partial differential equations. 92j:35050 

Dynkin, E. B. A probabilistic approach to one class of nonlinear differential equations. 
92d:35090 

Egnell, Henrik (with Kaj, Ingemar) Positive global solutions of a nonhomogeneous 
semilinear elliptic equation. 

Eleonskii, V.M. see Alfimov, G. L.; et al., (92i:58002) 

Escobedo, Miguel (with Zuazua, Enrike) Self-similar solutions for a convection-diffusion 
equation with absorption in R". 92k:35090 

Fang, Yung Fu see Chang, Ch’iu Chiin; et al., 92k:35089 

Franchi, Bruno Global solutions for a class of Monge-Ampére equations. (see 92m:35003) 

Ghidouche, Hamid see Bénilan, Philippe; et al., 92f:35060 

Gongalves, J. V. A. (with Miyagaki, Olimpio H.) Remarks on semilinear elliptic problems 
at resonance. 92k:35091 

Ishii, Hitoshi Perron’s method for monotone systems of second-order elliptic partial 
differential equations. 92h:35071 

— see also Crandall, Michael G.; et al., 92j:35050 

Kaj, Ingemar see Egnell, Henrik, 92m:35078 

Kajikiya, Ryuji Radially symmetric solutions of semilinear elliptic equations, existence and 
Sobolev estimates. 92a:35061 

Kalita, E. A. Regularity of a boundary point for second-order quasilinear elliptic systems. 
(Russian. Ukrainian summary) 924:35091 

Khabirov, S. V. Nonisentropic one-dimensional motions of a gas constructed by means of a 
contact group of the inhomogeneous Monge-Ampére equation. (Russian) 92a:35062 

Kulagin, N. E. see Alfimov, G. L.; et al., (92i:58002) 

Kuo, Chung Shéng On the semilinear elliptic equation Aw — $y - Vw + Aw — w~* =Oin 
R". 92j:35051 

Kusano, Takasi (with Swanson, Charles A.) Existence theorems for Monge-Ampére 
equations in RY. 92a:35063 

Kutev, Nikolai D. see Popivanov, Pet’'r R., (92d:30002) 

Kuzin, I. A. Multivalued solvability of some elliptic problems in RY. (Russian) 92k:35092 

Leonetti, Francesco On the regularity of weak solutions to nonlinear elliptic systems. 
92e:35066 

Lerman, L. M. see Alfimov, G. L.; et al., (92i:58002) 

Lewis, John L. see Choe, Hi Jun, 92b:35055 

Li, Yan Yan see Bahri, Abbas, 92b:35054 

Liang, Xi Ting see Wang, Xiang Dong; et al., 92c:35043 

Lieberman, Gary M. The natural generalization of the natural conditions of Ladyzhenskaya 
and Ural'tseva for elliptic equations. 92¢:35041 

Lin, Chang-Shou see Chen, Chiun Chuan, 92j:35048 

Lions, Pierre-Louis see Crandall, Michael G.; et al., 92j:35050 

Miyagaki, Olimpio H. see Gongalves, J. V. A., 92k:35091 

Miiller, Stefan Det = det. A remark on the distributional determinant. (French summary) 
92¢:35042 

Ni, Wei-Ming see Chéng, Kuo Shun, 92f:35061 

Nicolaescu, Liviu I. Radial solutions of some nonlinear elliptic equations involving critical 
Sobolev exponents. (see 92m:49004) 

Nistri, Paolo see Allegretto, W.; et al., 92k:35088 

Nolder, Craig A. Hardy-Littlewood theorems for solutions of elliptic equations in 
divergence form. 92j:35052 

Noussair, Ezzat S. (with Swanson, Charles A.) Asymptotics for semilinear elliptic systems. 
92h:35072 

Owen, Nicholas C. see Bauman, Patricia; et al., 92c:35040 

Pan, Xing Bin Existence of singular solutions of semi-linear elliptic equation in R”. 
92m:35079 

— Solutions of elliptic equations Au + K(x)e2“ = f(x). 92h:35073 

Pankov, A. A. Strong G-convergence of nonlinear elliptic operators and homogenization. 
(see 92d:00037) 

Phillips, Daniel see Bauman, Patricia; et al., 92c:35040 

Pierre, Michel see Adams, David R., 92m:35074 

Pokhozhaev, S. I. On classes of positivity of elliptic operators in R” with a supercritical 
nonlinearity index. (Russian) 92b:35056 

— Elliptic problems in R” with a supercritical exponent of nonlinearity. (Russian) 
924:35092 

Popivanov, Pet’r R. (with Kutev, Nikolai D.) Classical solutions for the complex Monge- 
Ampére operator in a ball. (see 92d:30002) 

Porru, Giovanni (with Ragnedda, F.) Convexity properties for solutions of some second 
order elliptic semilinear equations. 92m:35080 

Pucci, Patrizia (with Serrin, James) Global asymptotic stability for strongly nonlinear 
second order systems. (see 92m:35003) 


Qian, Bao Kang Uniqueness of solutions to a class of semilinear elliptic equations. (Chinese. 


English summary) 
Ragnedda, F. see Porru, Giovanni, 92m:35080 
Rakotoson, Jean-Michel Quasilinear elliptic problems with measures as data. 92e:35067 
Schechter, Martin Solution of nonlinear problems at resonance. 92b:35057 
Schulz, Friedmar Regularity for certain quasilinear elliptic systems of divergence structure. 
92£:35062 
Serrin, James see Pucci, Patrizia, (92m:35003) 


35J Partial differential equations of elliptic type 


35.560 


Shapiro, Victor L. Quasilinear ellipticity and the Ist eigenvalue. 92j:35053 

— Special functions and singular quasilinear partial differential equations. 924:35093 

Sheina, E. A. On a positive solution of a quasilinear elliptic equation in R". (Russian) 
92g:35065 

Silin, V. P. see Alfimov, G. L.; et al., (92i:58002) 

Singh, Kumud Quasilinear system of equations with quadratic growth in unbounded 
domains. 92j:35054 

Skrypnik, I. V. A condition for the regularity of a boundary point for a higher-order 
quasilinear elliptic equation. (Russian) 

Srikanth, P. N. see Adimurthi; et al., 92h:35068 

Swanson, Charles A. see Kusano, Takai, 92a:35063 and Noussair, Ezzat S., 92h:35072 

de Thélin, Francois (with Vélin, Jean) Existence et nonexistence de solutions non 
triviales pour des systémes elliptiques non linéaires. (English summary) [Existence and 
nonexistence results for a nonlinear elliptic system] 92k:35093 

Urbas, John I. E. On the existence of nonclassical solutions for two classes of fully 
nonlinear elliptic equations. 92h:35074 

— Boundary regularity for solutions of the equation of prescribed Gauss curvature. 
92k:35094 

Vazquez, Juan Luis (with Véron, Laurent) Solutions positives d’équations elliptiques 
semi-linéaires sur des variétés riemanniennes compactes. (English summary) [Positive 
solutions of semilinear elliptic equations on compact Riemannian manifolds] 92g:35066 

Vélin, Jean see de Thélin, Francois, 92k:35093 

Véron, Laurent see Vazquez, Juan Luis, 92g¢:35066 

Wang, Jenn-Nan see Chéng, Kuo Shun, 92h:35070 

Wang, Xiang Dong (with Liang, Xi Ting) Boundedness of generalized solutions to a class of 
elliptic equations. (Chinese. English summary) 92¢:35043 

Wang, Zhi Qiang On a superlinear elliptic equation. (French summary) 92a:35064 

Wa, Jiang A note on estimates of the maximum of subsolutions to a class of elliptic 
equations. (Chinese. English summary) 

Xu, Cheng Long Asymptotic solutions to semilinear elliptic equations in unbounded 
domains. (Chinese) 92i:35048 

— Some remarks on the elliptic equation in the plane. (Chinese summary) 924:35094 

Xu, Ke Ming see Yang, Guang Wu, 92b:35058 

Yadava, S. L. see Adimurthi; et al., 92h:35068 

Yamasaki, Maretsugu Nonlinear Poisson equations on an infinite network. 92¢:35068 

Yanagida, Eiji Uniqueness of positive radial solutions of Au + g(r)u + h(r)u? =0 in R". 
92g:35067 

Yang, Guang Wu (with Xu, Ke Ming) Riemann-Hilbert boundary value probl with 
weaker coefficients in the boundary condition. 92b:35058 

Yang, Jian Fu Existence of solutions to semilinear elliptic equations on unbounded 
domains—the critical Sobolev exponent case. (Chinese) 92¢:35044 

— Positive solutions of a semilinear elliptic equation and its asymptotic behaviour. 
92m:35081 

Yuan, Guang Wei Gradient bounds for a class of semilinear elliptic equations and the 
Liouville theorem. (Chinese. English summary) 92a:35065 

Zadina, Kh. U. see Auezbaeva, T. E. 

Zecca, Pietro see Allegretto, W.; et al., 92k:35088 

Zeng, Yue Sheng A note on a solution to the four-dimensional Liouville equation. (Chinese. 
English summary) 

Zhang, LiQun Uniqueness of positive solutions to semilinear elliptic equations. (Chinese) 
92j:35055 

Zhou, De Tang Solutions of second order elliptic equations. 92k:35095 

Zuazua, Enrike see Escobedo, Miguel, 92k:35090 








Items with secondary classifications in 35J60 

Allegretto, W. (with Yu, L.S.) Decaying solutions of 2mth order elliptic problems. 
92h:35006 

Barles, G. (with Souganidis, Panagiotis E.) Convergence of approximation schemes for 
fully nonlinear second order equations. 92d:35137 

Barrett, David E. Uniqueness for the Dirichlet problem for harmonic maps from the 
annulus into the space of planar discs. 92k:30061 

Benmohamed, A. (with Robbiano, Luc) Exposant critique de Sobolev et régularité des 
solutions d’équations elliptiques. (English summary) [Sobolev critical exponent and 
regularity of the solutions of elliptic equations] 92d:35055 

Berger, Melvyn S. * Mathematical structures of nonlinear science. 924:58050 

Beyerstedt, Ralf Removable singularities of solutions to elliptic Monge-Ampére equations. 
92j:35003 

Boccardo, Lucio (with Del Vecchio, T.) Homogenization of strongly nonlinear equations 
with gradient dependent lower order nonlinearity. 92k:35025 

Bonnans, Joseph Frédéric (with Casas Renteria, Eduardo) Un principe de Pontryagine 
pour le contréle des systémes semilinéaires elliptiques. (English summary) [A Pontryagin 
principle for the control of semilinear elliptic systems] 92d:49035 

Butuzov, V. F. see Vasileva, A. B.; et al., (92i:65009) 

Caffarelli, Luis A. The regularity of mappings with a convex potential. 92j:35018 

Cao, Dao Min Yamabe problem in R” and related problems. 92a:35007 

— (with Deng, Yin Bin) On the existence and nodal character of solutions of singular 
nonlinear boundary value problems. 92h:34048 

— Positive solution and bifurcation from the essential spectrum of a semilinear elliptic 
equation on R”. 92a:35008 

Casas Renteria, Eduardo see Bonnans, Joseph Frédéric, 924:49035 

Chang, Ch’iu Chiin On the asymptotic behavior of positive radial solutions of semi-linear 
elliptic equations in R". 92e:35019 

Chang, Sun-Yung A. (with Yang, Paul C.) A perturbation result in prescribing scalar 
curvature on S". 92m:53063 

Chen, Bao Yao see He, Xu Dong; et al., 92f:35043 

Chen, Wen Xiong (with Li, Congming) Prescribing Gaussian curvatures on surfaces with 
conical singularities. 92j:53004 

Chéng, Kuo Shun (with Ni, Wei-Ming) On the structure of the conformal Gaussian 
curvature equation on R?. II. 92i:53017 





35560 


— (with Smoller, Joel A.) Conformal metrics on S? with prescribed scalar curvature. 
92i:53031 

— (with Lin, Tai Chia) The structure of solutions of a semilinear elliptic equation. 
92j:35007 

Crandall, Michael G. Viscosity solutions of partial differential equations. 92k:35001 

Danétek, J. On the interior regularity of weak solutions to nonlinear elliptic systems of 
second order. (German and Russian summaries) 92j:35019 

Delanoé, Philippe L’opérateur de Monge-Ampére réel et la géométrie des sous-variétés. [The 
real Monge-Ampére equation and the geometry of submanifolds] 92f:53007 

— Extending Calabi’s conjecture to complete noncompact Kahler manifolds which are 
asymptotically C”, n > 2. 92d:32014 

Del Vecchio, T. On the homogenization of a class of pseudomonotone operators in 
divergence form. (Italian summary) 92e:35030 

— see also Boccardo, Lucio, 92k:35025 

Deng, Yin Bin see Zhou, Huan Song; et al., 92f:35029 and Cao, Dao Min; et al., 92h:34048 

Ding, Xia Xi (with Ding, Yi) The concentration-compactness principle and inverse power 
method. 924:35219 

Ding, Yi Nonradial solutions of a semilinear elliptic equation. 92b:35013 

— see also Ding, Xia Xi; et al., 92d:35219 

Eleonskii, V.M. (with Lerman, L.M.) Nonintegrable field equations and homoclinic loops 
of Hamiltonian systems. 92j:58096 

Fabes, Eugene B. (with Luskin, Mitchell; Sell, George R.) Construction of inertial 
manifolds by elliptic regularization. 92b:34072 

Furusho, Yasuhiro Existence of positive entire solutions for weakly coupled semilinear 
elliptic systems. 92j:35044 

Fusco, Nicola (with Hutchinson, John E.) Partial regularity in problems motivated by 
nonlinear elasticity. 92k:49080 

Goyal, Vinod B. Remark on a paper of Cheng and Smoller. 92b:58243 

Guo, Xin Kang see Shen, Yao Tian; et al., 92b:58036 

Hamza, Hichem Sur les transformations conformes des variétés riemanniennes a bord. 
(English summary) [On conformal transformations of Riemannian manifolds with 
boundary] 92f:58195 

Hassen, Abdulkadir (with Porru, Giovanni; Zeleke, Aklilu) Maximum principles for some 
second order nonhomogeneous semilinear equations. (Italian summary) 92i:35022 

He, Xu Dong (with Chen, Bao Yao) Regularity of H! n L”’-'/2-7 weak solutions for 
nonlinear elliptic systems. 92f:35043 

Healey, Timothy J. (with Kielhéfer, Hansjérg) Symmetry and nodal properties in the global 
bifurcation analysis of quasi-linear elliptic equations. 92d:35042 

Hebey, Emmanuel (with Vaugon, Michel) Remarque sur le probléme de Yamabe. (English 
summary) [A remark about the Yamabe problem] 92c:53018 

— (with Vaugon, Michel) Multiplicité pour le probleme de Yamabe. (English summary) 
[Multiplicity for the Yamabe problem] 92c:53019 

— (with Vaugon, Michel) Remarque sur le probleme de Yamabe. (English summary) 
[Remark on the Yamabe problem] 92¢:53050 

Heinz, Hans-Peter Lacunary bifurcation for operator equations and nonlinear boundary 
value problems on R”. 92j:47121 

Herb, Thomas The Darboux system and embedding problems in three-dimensional 
Riemannian spaces. 92k:53115 

Herrero, Miguel A. (with Velazquez, Juan J. L.) Radial solutions of a semilinear elliptic 
problem. 92e:35021 

Hutchinson, John E. see Fusco, Nicola, 92k:49080 

Ishii, Hitoshi (with Koike, Shigeaki) Viscosity solutions for monotone systems of second- 
order elliptic PDEs. 92h:35066 

Jagy, William C. Minimal hypersurfaces foliated by spheres. 92b:53101 

Jakobowsky, Norbert On interior and boundary regularity of weak solutions to a certain 
quasilinear elliptic system. 92m:35042 

Jian, Huai Yu “Quasi-ellipticity” conditions and partial regularity of systems of nonlinear 
partial differential equations of second order. (Chinese summary) 92b:35036 

Jung, Yoon-Tae On the conformal deformation of Riemannian structures. 92b:58244 

Kalita, E. A. Behavior of solutions of quasilinear elliptic systems at a nonregular boundary 
point. (Russian) 92g:35063 

Kato, Shin Symmetric solutions of the equation for the scalar curvature under conformal 
deformation of a Riemannian metric. 92k:58273 

Kichenassamy, Satyanad Symmetrization on the sphere and applications. 92i:35005 

Kielhofer, Hansjérg see Healey, Timothy J., 92d:35042 

Koike, Shigeaki see Ishii, Hitoshi, 92h:35066 

Kossowski, Marek Local existence of multivalued solutions to analytic symplectic Monge- 
Ampére equations (the nondegenerate and type changing cases). 92h:58202 

Kumagai, Donna Solutions of 8?u/9z9Z = e™“ and analytic multivalued functions. 
92)j:32041 

Kurta, V. V. Qualitative properties of solutions of some classes of second-order quasilinear 
elliptic equations. (Russian. English summary) 92b:35014 

Labourie, Francois Probleme de Minkowski et surfaces 4 courbure constante dans les 
variétés hyperboliques. (English summary) [Minkowski problem and surfaces of constant 
curvature in hyperbolic manifolds] 92k:53077 

Lempert, Laszl6 (with Széke, Rébert) Global solutions of the homogeneous complex 
Monge-Ampére equation and complex structures on the tangent bundle of Riemannian 
manifolds. 92m:32022 

Leonetti, Francesco An integral estimate for weak solutions to some quasilinear elliptic 
systems. 92i:35027 

Lerman, L. M. see Eleonskii, V. M., 92j:58096 

Leung, Anthony W. (with Stojanovic, Srdjan) Direct methods for some distributed games. 
92a:49011 

Li, Congming see Chen, Wen Xiong, 92j:53004 

Li, Gong Bao see Yan, Shu Sen; et al., 92d:35221 

Li, Jia Yu? Gradient estimates and Harnack inequalities for nonlinear parabolic and 
nonlinear elliptic equations on Riemannian manifolds. 92k:58257 

Li, Sheng Hong The Hdlder continuity of solutions to general quasilinear weakly elliptic 
systems of equations of divergence type. (Chinese. English summary) 924:35065 

Li, Yan Yan On prescribing scalar curvature problem on S? and S‘. (French summary) 





PARTIAL DIFFERENTIAL EQUATIONS 


92m:53064 

Liang, Xi Ting The boundedness for generalized solutions of quasilinear elliptic equations. 
92i:35018 

— (with Yu, Ming Qi) Positiveness of nonnegative supersolutions of elliptic equations. 
92b:35016 

Lieberman, Gary M. On the Hdlder gradient estimate for solutions of nonlinear elliptic and 
parabolic oblique boundary value problems. 92c:35024 

Lin, Chang Hao The C'* regularity of weak solutions to a class of nonlinear elliptic systems 
of equations. (Chinese. English summary) 92j:35025 

Lin, Chang-Shou (with Lin, Sung Shan) Positive radial solutions for Au + K(r)u("*2)/("-2) = 
0 in R" and related topics. 92m:35016 

Lin, Sung Shan see Lin, Chang-Shou, 92m:35016 

Lin, Tai Chia see Chéng, Kuo Shun, 92j:35007 

Laskin, Mitchell see Fabes, Eugene B.; et al., 92b:34072 

Maier, Stanislaus * Asymptotic behaviour of spherical symmetric solutions of semilinear 
elliptic equations. 92h:35024 

Manfredi, Juan J. Isolated singularities of p-harmonic functions in the plane. 92¢:31016 

Matano, Hiroshi Nonlinear partial differential equations and infinite-dimensional 
dynamical systems. (Japanese) 92b:35003 

Mazzeo, Rafe Regularity for the singular Yamabe problem. 92k:53071 

McLeod, Kevin A general /-theorem for semilinear elliptic equations. (see 92m:35003) 

Moser, Jiirgen Quasi-periodic solutions of nonlinear elliptic partial differential equations. 
92g:35024 

Murat, Francois Homogenization of renormalized solutions of elliptic equations. (French 
summary) 92m:35032 

Musal’yan, A. G. Existence of bounded and periodic solutions of elliptic equations with a 
nonlinear right-hand side. (Russian. Tajiki summary) 

Nazarov, A. I. Conditional estimates for the maximum for quasilinear equations. (Russian) 
(see 92m:00029) 

Nefédov, N. N. see Vasil’eva, A. B.; et al., (92i1:65009) 

Ng, Kin-Chung The nonlinear caustic. 92i:78019 

Nguyén Phuong Cac On a Dirichlet problem with jumping nonlinearity. 92g:35060 

Ni, Wei-Ming see Chéng, Kuo Shun, 92i:53017 

(Oliker, Viadimir) see Geometry and nonlinear partial differential equations, 92k:53001 

Ouyang, Tiancheng On the positive solutions of semilinear equations Au + Au + hu? = 0 on 
compact manifolds. II. 92m:35017 

— On the positive solutions of semilinear equations Au + Au — hu? = 0 on the compact 
manifolds. 92h:35012 

Pan, Xing Bin Positive solutions of Au + K(x)u? = 0 without decay conditions on K(x). 
92i:35006 

Parks, Harold R. An application of the Cauchy-Kowalewsky theorem: the minimal surface 
equation at corners. 92d:35012 

Pokhozhaev, S. 1. On entire solutions of a class of quasilinear elliptic equations. (Russian) 
92h:35013 

Porru, Giovanni see Hassen, Abdulkadir; et al., 92i:35022 

Raitums, Uldis On the continuous dependence of solutions of semilinear elliptic equations 
upon parameters. (Russian and Latvian summaries) (see 92d:00013) 

Rakotoson, Jean-Michel A compactness lemma for elliptic problem with measures as data. 
92¢:35117b 

— Quasilinear equations and spaces of Campanato-Morrey type. 92k:35045 

Robbiano, Luc see Benmohamed, A., 92d:35055 

Rother, Wolfgang! The existence of infinitely many solutions all bifurcating from 4 = 0. 
92h:35022 

Rubel, Lee A. Closed-form solutions of some partial differential equations via quasi- 
solutions. I. 92h:35032 

Sauvigny, Friedrich A new proof of the gradient estimate for graphs of prescribed mean 
curvature. 92m:53014 

Schechter, Martin (with Tintarev, Kyril) Families of “first eigenfunctions” for semilinear 
elliptic eigenvalue problems. 92m:35197 

— A bounded mountain pass lemma without the (PS) condition and applications. 
92h:58040 

Schulz, Friedmar * Regularity theory for quasilinear elliptic systems and Monge-Ampére 
equations in two. dimensions. 92d:35002 

Sell, George R. see Fabes, Eugene B.; et al., 92b:34072 

Serovaiskii, S. Ya. Necessary and sufficient conditions for optimality for a system described 
by a nonlinear elliptic equation. (Russian) 92j:49020 

Sheina, E. A. Eigenfunctions of a quasilinear elliptic operator in R”. (Russian) 92h:35177 

Shen, Yao Tian (with Guo, Xin Kang) The nontrivial critical points of the functional 
Jog F(x, u, Du) dx. (Chinese) 92b:58036 

Smale, Nathan An equivariant construction of minimal surfaces with nontrivial singular 
sets. 92i:53011 

Smoller, Joel A. see Chéng, Kuo Shun, 92i:53031 

Souganidis, Panagiotis E. see Barles, G., 92d:35137 

Spada, M. (with Wobig, H.) On the existence and uniqueness of dissipative plasma 
equilibria in a toroidal domain. 92m:76158 

Stojanovic, Srdjan see Leung, Anthony W., 92a:49011 

Suzuki, Takashi Introduction to geometric potential theory. 92d:35033 

Szike, Rébert see Lempert, Lészl6, 92m:32022 

Tertikas, Achilles (with Toland, J. F.) Graph intersection and uniqueness results for some 
nonlinear elliptic problems. 92m:34078 

Tintarev, Kyril see Schechter, Martin, 92m:35197 

Toland, J. F. see Tertikas, Achilles, 92m:34078 

(Treibergs, Andrejs) see Geometry and nonlinear partial differential equations, 92k:53001 

Trubek, Jeanne Conformal metrics and scalar curvature on cylinders. 92a:53062 

Usami, Hiroyuki On bounded positive entire solutions of fourth order semilinear elliptic 
equations. 92g:35061 

Vasil‘eva, A. B. (with Butuzov, V. F.; Nefédov, N. N.) The contrast structure type solutions 
of nonlinear singularly perturbed equations. (see 92i:65009) 

Vaugon, Michel see Hebey, Emmanuel, 92c:53018; 92c:53019 and 92e:53050 

Velazquez, Juan J.L. see Herrero, Miguel A., 92e:35021 





581 1992 


Vyborny, Rudolf The Hadamard three-circles theorems for nonlinear equations. 92d:35054 

Wobig, H. see Spada, M., 92m:76158 

Yamashita, Shinji Local maxima of the spherical derivative. 92m:30057 

Yan, Shu Sen (with Li, Gong Bao) Eigenvalue problem for field equation involving limiting 
nonlinearity. 92d:35221 

Yanagida, Eiji Structure of positive radial solutions of Matukuma’s equation. 92a:35012 

Yang, Paul C. see Chang, Sun-Yung A., 92m:53063 

Yu, L.S. see Allegretto, W., 92h:35006 

Yu, Ming Qi see Liang, Xi Ting, 92b:35016 

Zeleke, Aklilu see Hassen, Abdulkadir; et al., 92i:35022 

Zhang, Zheng Jie The eigenvalue problem of quasilinear elliptic equation. 92h:35178 

Zhou, Huan Song (with Deng, Yin Bin) The L” bifurcation problem for semilinear elliptic 
equations in striplike domains. (Chinese. English summary) 92f:35029 

Zhu, Xi Ping A perturbation result on positive entire solutions of a semilinear elliptic 
equation. 92g:35019 

Ziemian, Bogdan Mean value theorems for linear and semi-linear rotation invariant 
operators. 92b:35017 


Items listed otherwise than by author 

Contemporary Mathematics * Geometry and nonlinear partial differential equations. 
92k:53001 

Fayetteville, AR *x Geometry and nonlinear partial differential equations. 92k:53001 

Geometry and nonlinear partial differential equations * Geometry and nonlinear partial 
differential equations. 92k:53001 

Session: 
Geometry, Physics and Nonlinear Partial Differential Equations * Geometry and 

nonlinear partial differential equations. 92k:53001 


35J65 Nonlinear boundary value problems for linear elliptic 
PDE; boundary value problems for nonlinear elliptic PDE 


Adimurthi (with Yadava, S. L.) Multiplicity results for semilinear elliptic equations in a 
bounded domain of R? involving critical exponents. 92¢:35045 

— (with Yadava, S. L.) Elementary proof of the nonexistence of nodal solutions for the 
semilinear elliptic equations with critical Sobolev exponent. 92j:35056 

— (with Yadava, S. L.) Existence and nonexistence of positive radial solutions of Neumann 
problems with critical Sobolev exponents. 92¢:35069 

— (with Yadava, S.L.) Positive solution for Neumann problem with critical nonlinearity on 
boundary. 92m:35082 

— Some remarks on the Dirichlet problem with critical growth for the n-Laplacian. 
92m:35083 

— (with Yadava, S. L.) Nonexistence of nodal solutions of elliptic equations with critical 
growth in R?. 92j:35057 

Alessandrini, Giovanni Characterizing spheres by functional relations on solutions of elliptic 
and parabolic equations. 92e:35070 

Allegretto, W. see Xie, Hong, 92m:35099 

Arcoya, D. Positive solutions for semilinear Dirichlet problems in an annulus. 92j:35058 

d@’Aujourd’hui, Marcel On the resonance set and the domain shape for a semilinear equation. 
92j:35059 

Azimov, Sh. O. The oblique derivative problem for a first-order nonlinear elliptic system on 
a plane. (Russian. Kazakh summary) 92j:35060 

Bandle, Catherine (with Pozio, Maria Assunta) On a class of nonlinear Neumann problems. 
92:35063 

— Positive solutions of Emden equations in cone-like domains. (see 92m:35003) 

Berestycki, H. (with Nirenberg, Louis) Travelling front solutions of semilinear equations in 
n dimensions. 92i:35049 

Bernardi, Christine (with Girault, Vivette; Halpern, Laurence) Variational formulation for 
a nonlinear elliptic equation in a three-dimensional exterior domain. 92¢:35046 

Bertsch, Michiel (with Klaver, M. H. A.) On positive solutions of Au + Af(u) = 0 with f 
discontinuous. 92h:35075 

Bethuel, Fabrice Passage a la limite faible dans des équations aux dérivées partielles 
non linéaires. [Passage to the weak limit in nonlinear partial differential equations] 
92k:35096 

Betta, Maria Francesca (with Mercaldo, Anna) Existence and regularity results for a 
nonlinear elliptic equation. 92j:35061 

Bian, Bao Jun Existence of viscosity solutions of second order fully nonlinear elliptic 
equations. 92d:35095 

Bianchi, Gabriele (with Egnell, Henrik) Local existence and uniqueness of positive 
solutions of the equation Au + (1 + eg(r))u("*)/("-2) = 0, in R" and a related equation. 
(see 92m:35003) 

Boccardo, Lucio (with Murat, Francois) An existence result via L‘’ regularity for some 
nonlinear elliptic equations. (see 92m:35003) 

Borsuk, M. V. Estimates for solutions of the Dirichlet problem for a second-order 
quasilinear elliptic equation of nondivergence type near a corner point. (Russian) 

Brézis, Haim (with Merle, Frank) Uniform estimates and blow-up behavior for solutions of 
—Au = V(x)e“ in two dimensions. 92m:35084 

Casas Renteria, Eduardo (with Fernandez, Luis Alberto) On the variational formulation of 
the Neumann problem for quasilinear equations. (Spanish) 924:35096 

Chabrowski, J. Some existence theorems for the Dirichlet problem for quasilinear elliptic 
equations. 92j:35062 

Chen, Bao Yao see Chen, Jie”; et al. 

Chen, Jie? (with Chen, Bao Yao) An eigenvalue problem for diagonal quasilinear elliptic 
systems of equations. (Chinese. English summary) 

Chen, Wen Xiong Infinitely many solutions for a nonlinear elliptic equation involving 
critical Sobolev exponent. 92m:35085 

Clément, Philippe P. (with Sweers, Guido) On subsolutions to a semilinear elliptic problem. 
924:35097 

Coffman, Charles V. (with Ziemer, William K.) A prescribed mean curvature problem on 
domains without radial symmetry. 92d:35098 


35J Partial differential equations of elliptic type 


35565 


Comte, Myriam (with Knaap, Mariette) Existence of solutions of elliptic equations 
involving critical Sobolev exponents with Neumann boundary condition in general 
domains. 92j:35063 

— Solutions of elliptic equations with critical Sobolev exponent in dimension <hree. 
92i:35050 

Corona, Carlos M. Monge-Ampére equations on convex regions of the plane. 92g:35068 

Corréa, F. J.S.de A. On pairs of positive solutions for a class of sub-superlinear elliptic 
problems. 92j:35064 

Dall’Aglio, A. (with Tchou, Nicoletta Anna) G-convergence and semilinear elliptic 
equations. 92g:35069 

Dalmasso, Robert On singular nonlinear elliptic problems of second and fourth orders. 
(French summary) 92m:35086 

Dancer, E. N. On the number of positive solutions of some weakly nonlinear equations on 
annular regions. 92k:35097 

Delanoé, Philippe Classical solvability in dimension two of the second boundary-value 
problem associated with the Monge-Ampére operator. (French summary) 92g:35070 

Deng, Yin Bin On the superlinear Ambrosetti-Prodi problem involving critical Sobolev 
exponents. 92k:35098 

— Existence of multiple positive solutions of inhomogeneous semi-linear elliptic problems 
involving critical exponents. 92m:35087 

Di Piazza, Luisa A perturbation result for a class of superlinear variational elliptic 
problems. (Italian. English summary) 92j:35065 

Drabek, Pavel (with Nicolosi, Francesco) Semilinear boundary value probl 
with general nonlinearities. 92k:35099 

Dupuis, Paul (with Ishii, Hitoshi) On oblique derivative problems for fully nonlinear 
second-order elliptic partial differential equations on nonsmooth domains. 92b:35059 

— (with Ishii, Hitoshi) On oblique derivative problems for fully nonlinear second-order 
elliptic PDEs on domains with corners. 92b:35060 

Edmunds, David E. (with Fortunato, Donato; Jannelli, Enrico) Fourth-order nonlinear 
elliptic equations with critical growth. (Italian summary) 92m:35088 

Egnell, Henrik see Bianchi, Gabriele, (92m:35003) 

Fernandez, Luis Alberto see Casas Renteria, Eduardo, 92d:35096 

de Figueiredo, Djairo G. (with Massabd, Ivar) Semilinear elliptic equations with the 
primitive of the nonlinearity interacting with the first eigenvalue. 924:35099 

— (with Miyagaki, Olimpio H.) Semilinear elliptic equations with the primitive of the 
nonlinearity away from the spectrum. 92k:35100 

Fortunato, Donato see Edmunds, David E.; et al., 92m:35088 

Fukagai, Nobuyoshi (with Yoshida, Kiyoshi) An existence theorem for positive solutions of 
degenerate semilinear elliptic equations. 924:35100 

Gatica, Gabriel N. (with Hsiao, George C.) On a class of variational formulations for some 
nonlinear interface problems. (Italian summary) 92m:35089 

Girault, Vivette see Bernardi, Christine; et al., 92c:35046 

Glangetas, Léo Multiplicité exacte de solutions positives d’une équation elliptique avec 
exposant critique. (English summary) [Exact multiplicity of positive solutions of an 
elliptic equation involving the critical exponent] 92:35064 

Gongalves, J. V. A. (with Miyagaki, Olimpio H.) Existence of nontrivial solutions for 
semilinear elliptic equations at resonance. 924:35101 

Gossez, Jean-Pierre (with Omari, Pierpaolo) A necessary and sufficient condition of 
nonresonance for a semilinear Neumann problem. 92e:35071 

Grunau, Hans-Christoph The Dirichlet problem for some semilinear elliptic differential 
equations of arbitrary order. 92f:35065 

Halpern, Laurence see Bernardi, Christine; et al., 92c:35046 

Han, Zheng-Chao Asymptotic approach to singular solutions for nonlinear elliptic 
equations involving critical Sobolev exponent. (French summary) 92¢:35047 

Hassan, I. M. Nonlocal and nonlinear first boundary value problem for quasilinear partial 
differential equations. 92k:35101 

Heikkila, Seppo On an elliptic boundary value problem with discontinuous nonlinearity. 
92g:35071 

Hong, Jia Xing Dirichlet problems for general Monge-Ampére equations. 92m:35090 

Hsiao, George C. see Gatica, Gabriel N., 92m:35089 

Hu, Min De A mixed boundary value problem for nonlinear elliptic systems of equations of 
second order. (Chinese. English summary) 92m:35091 

Ishii, Hitoshi Fully nonlinear oblique derivative problems for nonlinear second-order 
elliptic PDEs. 92¢:35048 

— see also Dupuis, Paul, 92b:35059 and 92b:35060 

Ishimura, Naoyuki Generalized ground states for quasilinear elliptic equations. 92d:35102 

Ivochkina, N. M. The Dirichlet problem for the curvature equation of order m. (Russian) 
92¢:35072 

Jannelli, Enrico see Edmunds, David E.; et al., 92m:35088 

Khallaev, M. Kh. Estimation of the growth of solutions of some quasilinear elliptic 
inequalities. (Russian) 92e:35073 

Klaver, M. H. A. see Bertsch, Michiel, 92h:35075 

Knaap, Mariette see Comte, Myriam, 92j:35063 

Kondrat'ev, V. A. (with Nikishkin, V. A.) On the uniqueness of the solution of a singular 
boundary value problem for semilinear elliptic equations. (Russian) 92g:35072 

Krzywicki, A. (with Nadzieja, T.) Poisson-Boltzmann equation in R®. 924:35103 

— (with Nadzieja, T.) Some results concerning the Poisson-Boltzmann equation. 
92m:35092 

Kutev, Nikolai D. On the solvability of Monge-Ampére type equations in nonuniformly 
convex domains. 92h:35076 

Kwong, Man Kam (with Li, Yi?) Uniqueness of radial solutions of semilinear elliptic 
equations. 92k:35102 

Lavrenko, M. V. Behavior of solutions of the first boundary value problem for a quasi- 
elliptic equation in an unbounded domain. (Russian. English summary) 92b:35061 

Lazzo, Monica Solutions positives multiples pour une équation elliptique non linéaire 
avec l’exposant critique de Sobolev. (English summary) [Multiple positive solutions of a 
nonlinear elliptic equation involving critical Sobolev exponent] 92):35066 

Li, Congming Monotonicity and symmetry of solutions of fully nonlinear elliptic equations 
on bounded domains. 924:35104 

Li, Hong Zhen see Li, Zi Zhi, (92a:00039) 





at resonance 





35J65 


Li, Jun Jie> Degenerate nonlinear boundary value problems for fully nonlinear elliptic 
equations of second order. 92h:35077 

Li, Lige (with Logan, Roger) Positive solutions to general elliptic competition models. 
92c:35049 

Li, Yi? see Kwong, Man Kam, 92k:35102 

Li, Zheng Yuan see Wang, Ming Xin’; et al., (92m:35004) 

Li, Zi Zhi (with Li, Hong Zhen) The method of approximate solution of mixed boundary 
value problem for nonlinear elliptic complex equations of second order. (see 92a:00039) 

Lieberman, Gary M. The conormal derivative problem for equations of variational type in 
nonsmooth domains. 92h:35078 

Lin, Sung Shan Symmetry breakings for Au + 2de" = 0 on disk with general boundary 
conditions. 924:35105 

— Semilinear elliptic equations on singularly perturbed domains. 92f:35066 

— Symmetry breaking for semilinear elliptic equations on sectorial domains in R?. 
92h:35079 

Lin, Ying Biao Positive solutions to exterior boundary value problems for semilinear elliptic 
equations. (Chinese. English summary) 92h:35080 

Liu, Xiu Pu Nonexistence theorems for solutions to exterior problems for semilinear elliptic 
systems. (Chinese. English summary) 92g:35073 

Logan, Roger see Li, Lige, 92c:35049 

Lu, Guang Cun The existence of multiple solutions for quasilinear elliptic equations of 
higher order. 92i:35051 

La, Li Jiang Monge-Ampére equations on the nonstrict convex domains. 924:35106 

Luo, You Song On the quasilinear elliptic Venttsel’ boundary value problem. 92c:35050 

Ma, Li Some notes about positive solutions of Au + a(x)u + u(%+2)/(N-2) = 0. 92j:35067 

Ma, Ru Nian see Shen, Yao Tian; et al., 92i:35053 

Magalhies, C. A. Multiplicity results for a semilinear elliptic problem with crossing of 
multiple eigenvalues. 92f:35067 

Massaba, Ivar see de Figueiredo, Djairo G., 92d:35099 

Mercaldo, Anna On a nonlinear elliptic equation with critical Sobolev exponent. (Italian. 
English summary) 92j:35068 

— see also Betta, Maria Francesca, 92j:35061 

Merle, Frank (with Peletier, L. A.) Positive solutions of elliptic equations involving 
supercritical growth. 92g:35074 

— (with Peletier, L.A.) On supercritical phenomena. (see 92m:35003) 

— see also Brézis, Haim, 92m:35084 

Min, Ji A remark on the symmetry of solutions to nonlinear elliptic equations. 92k:35103 

Miyagaki, Olimpio H. see Goncalves, J. V. A., 92d:35101 and de Figueiredo, Djairo G., 
92k:35100 

Mizoguchi, Noriko Existence of nontrivial solutions of partial differential equations with 
discontinuous nonlinearities. 92k:35104 

— Nontrivial solutions of semilinear elliptic equations with continuous or discontinuous 
nonlinearities. 92m:35093 

Murat, Francois see Boccardo, Lucio, (92m:35003) 

Nabutovsky, Alexander Number of solutions with a norm bounded by a given constant of a 
semilinear elliptic PDE with a generic right-hand side. 92j:35069 

Nadzieja, T. see Krzywicki, A., 92d:35103 and 92m:35092 

Naumann, Joachim On the existence of weak solutions of the stationary semiconductor 
equations with velocity saturation. 92m:35094 

Nguyén Phuong Cac (with Schulz, Friedmar) Multiple solutions for a class of semilinear 
Dirichlet problems. 92b:35062 

Ni, Wei-Ming (with Takagi, Izumi) On the shape of least-energy solutions to a semilinear 
Neumann problem. 92i:35052 

— (with Takagi, Izumi) On the existence and shape of solutions to a semilinear Neumann 
problem. (see 92m:35003) 

Nicolosi, Francesco see Drabek, Pavel, 92k:35099 

Nikishkin, V. A. see Kondrat'ev, V. A., 92g:35072 

Nirenberg, Louis see Berestycki, H., 92i:35049 

Omari, Pierpaolo see Gossez, Jean-Pierre, 92e:35071 

Paivarinta, Lassi (with Runst, Thomas) Multiplicity results for semilinear elliptic boundary 
value problems in Besov and Triebel-Lizorkin spaces. 92j:35070 

Palagachev, D. K. see Popivanov, Petr R., 92m:35096 

Payne, Lawrence E. (with Webb, J. R. L.) Comparison results in second order quasilinear 
Dirichlet problems. 92h:35081 

— (with Webb, J. R. L.) Spatial decay estimates for second order partial differential 
equations. 92m:35095 

Peletier, L. A. see Merle, Frank, 92g:35074 and (92m:35003) 

Popivanov, Petr R. (with Palagachev, D. K.) On the tangential oblique derivative problem 
for quasilinear elliptic operators. 92m:35096 

Pozio, Maria Assunta see Bandle, Catherine, 92f:35063 

Rey, Olivier Concentration des solutions d’équations elliptiques avec nonlinéarité critique. 
[Concentration of the solutions of elliptic equations with critical nonlinearity] 92a:35066 

Ruf, Bernhard Singularity theory and the geometry of a nonlinear elliptic equation. 
924:35107 

Rumbos, Adolfo A semilinear elliptic boundary value problem at resonance where the 
nonlinearity may grow linearly. 92e:35074 

Runst, Thomas Solvability of semilinear elliptic boundary value problems in Besov-Triebel- 
Lizorkin spaces. 92k:35105 

— see also Paivarinta, Lassi, 92j:35070 

Russo, Alessandro Uniqueness results for a class of nonlinear problems. 92a:35067 

Sargsyan, G. A. see Virabyan, G. V., 92a:35068 

Schaaf, Renate (with Schmitt, Klaus) Asymptotics for solution branches of semilinear 
elliptic problems at resonance. 92k:35106 

Schechter, Martin Nonlinear elliptic boundary value problems at resonance. 92b:35063 

— A variation of the mountain pass lemma and applications. 92k:35107 

Schmitt, Klaus see Schaaf, Renate, 92k:35106 

Schulz, Friedmar see Nguyén Phuong Cac, 92b:35062 

Shen, Yao Tian (with Ma, Ru Nian) On the natural growth quasilinear elliptic Euler 
equations. 92i:35053 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 582 


Shutyaev, V. P. A perturbation algorithm for a second-order quasilinear elliptic problem. 
(Russian) (see 92m:00024) 

— Justification of perturbation algorithm for weakly nonlinear elliptic second-order 
boundary value problem. 92h:35082 

Silva, Elves Alves de B.e Linking theorems and applications to semilinear elliptic problems 
at resonance. 924:35108 

Simon, Laszlé Nonlinear elliptic differential equations with nonlocal boundary conditions. 
92g:35075 

Singh, Kumud Existence and approximation of solutions for nonlinear elliptic equations. 
(see 92k:65004) 

Sweers, Guido see Clément, Philippe P., 92d:35097 

Szilagyi, P. Boundary value problems for strongly-elliptic quasi-linear systems with upper 
and lower solutions. 92d:35109 

Takagi, Izumi see Ni, Wei-Ming, 92i:35052 and (92m:35003) 

Talenti, Giorgio G. Rearrangements and PDE. 92k:35108 

Tarantello, Gabriella Nodal solutions of elliptic equations with critical exponent. (French 
summary) 92m:35097 

— Nodal solutions of semilinear elliptic equations with critical exponent. 92k:35109 

Tchou, Nicoletta Anna see Dall’Aglio, A., 92g:35069 

Ts’ai, Lung I Nonlinear elliptic equations in unbounded domains. 924:35110 

Tso, Kaising Nonexistence of elliptic solutions to some fully nonlinear equations. 92j:35071 

Urbas, John I. E. Boundary regularity for solutions of the equation of prescribed Gauss 
curvature. 92h:35083 

Vegas, José M. A functional-analytic framework for the study of elliptic equations on 
variable domains. 924:35111 

Virabyan, G. V. (with Sargsyan, G. A.) The Dirichlet problem for the Monge-Ampére 
equation. (Russian. English and Armenian summaries) 92a:35068 

Wang, Chuan Fang (with Xue, Ru Ying) Nontrivial solutions for some semilinear elliptic 
equations with critical Sobolev exponents. 92i:35054 

Wang, Ming Xin? (with Li, Zheng Yuan; Ye, Qi Xiao) Existence of positive solutions for 
semilinear elliptic system. (see 92m:35004) 

Wang, Shixiao Some nonlinear elliptic equations with subcritical growth and critical 
behavior. 92d:35112 

Wang, Xu Jia Neumann problems of semilinear elliptic equations involving critical Sobolev 
exponents. 92j:35072 

Webb, J. R. L. see Payne, Lawrence E., 92h:35081 and 92m:35095 

Wei, Zhi Hui (with Wu, Xin Min) A multiplicity result for quasilinear elliptic equations 
involving critical Sobolev exponents. 92m:35098 

Weisz, Juraj A posteriori error estimate of approximate solutions to a nonlinear elliptic 
boundary value problem. (Russian and Slovak summaries) 92g:35076 

— On a posteriori error estimate of approximate solutions to a mildly nonlinear nonpotential 
elliptic boundary value problem. 92h:35084 

Wu, Xin Min see Wei, Zhi Hui, 92m:35098 

Xie, Hong (with Allegretto, W.) C*(Q) solutions of a class of nonlinear degenerate elliptic 
systems arising in the thermistor problem. 92m:35099 

Xie, Wei Qiang Generalized solutions to a class of nonlinear elliptic equations. (Chinese. 
English summary) 

Xu, Ke Ming see Yang, Guang Wu; et al., 92h:35085 

Xue, Ru Ying see Wang, Chuan Fang; et al., 92i:35054 

Yadava, S. L. see Adimurthi, 92c:35045; 92e:35069; 92j:35056; 92j:35057 and 92m:35082 

Yang, Guang Wu (with Xu, Ke Ming) The Dirichlet problem for nonlinear complex elliptic 
equations of second order in Sobolev spaces. (Chinese. English summary) 92h:35085 

Yang, Jian Fu Existence of nontrivial solutions to quasilinear elliptic equations in 
unbounded domains. (Chinese) 92b:35064 

— Existence and regularity for a quasilinear elliptic equation involving critical exponents. 
92b:35065 

Yang, Ling E The Dirichlet problem for strong nonlinear elliptic equations on an un- 
bounded domain. (Chinese. English summary) 92f:35068 

Ye, Qi Xiao see Wang, Ming Xin’; et al., (92m:35004) 

Yoshida, Kiyoshi see Fukagai, Nobuyoshi, 924:35100 

Zhidkov, P. E. * O6 ofHok HenHHeHHON snmMNnTHYeCKON 3ana4e. (Russian) [A nonlinear 
elliptic problem] 

Ziemer, William K. see Coffman, Charles V., 92d:35098 

Zvyagin, V.G. On the structure of the set of solutions of a nonlinear elliptic problem with 
fixed boundary conditions [in Topological and g tric methods of analysis (Russian), 
152-158, Voronezh. Gos. Univ., Voronezh, 1989; MR 91c:35060]. (see 92b:58001) 

— On the number of solutions of the Dirichlet problem for equations that are elliptic on the 
solution set. (Russian) 92e:35075 








Items with secondary classifications in 35J65 


Aftabizadeh, A. R. (with Pavel, Nicolae H.) Nonlinear boundary value problems for 
some ordinary and partial differential equations associated with monotone operators. 
92h:47091 

Allegretto, W. (with Yu, L.S.) On the existence of multiple decaying positive solutions of 
elliptic equations. 92f:35017 

Allgower, Eugene L. (with Bohmer, Klaus; Mei, Zhen) A complete bifurcation scenario 
for the 2-d nonlinear Laplacian with Neumann boundary conditions on the unit square. 
92e:58044 

— (with Bohmer, Klaus; Mei, Zhen) On new bifurcation results for semilinear elliptic 
equations with symmetries. 92i:35017 

Bandle, Catherine (with Essén, Matts) On positive solutions of Emden equations in cone- 
like domains. 92j:35005 

Baxley, John V. Radially symmetric solutions of some singular elliptic equations. 
92¢:34024 


— Some singular nonlinear boundary value problems. 92f:34017 

Bethuel, Fabrice Energies relaxées pour applications harmoniques. [Relaxed energies for 
harmonic mappings] 92b:58048 

Boccardo, Lucio (with Gallouét, Thierry) Nonlinear elliptic and parabolic equations 
involving measure data. 92d:35286 

— (with Gallouét, Thierry) Homogenization for “Castro-Lazer equation”. 92i:35015 





583 1992 


Bohmer, Klaus see Allgower, Eugene L.; et al., 92e:58044 and 92i:35017 

Brézis, Haim * Mathematical problems of liquid crystals. 92e:58049 

— (with Nirenberg, Louis) Remarks on finding critical points. 92i:58032 

Brown, K. J. (with Tertikas, Achilles) On the bifurcation of radially symmetric steady-state 
solutions arising in population genetics. 92e:92018 

Caffarelli, Luis A. (with Spruck, Joel) Variational problems with critical Sobolev growth 
and positive Dirichlet data. 92d:35083 

Carl, Siegfried (with Heikkila, Seppo) An existence result for elliptic differential inclusions 
with discontinuous nonlinearity. 92m:35268 

Casas Renteria, Eduardo (with Fernandez, Luis Alberto) Optimal control of quasilinear 
elliptic equations. (Spanish) 92k:49042 

Chabrowski, J. On pairs of decaying positive solutions of semilinear elliptic equations in 
unbounded domains. (Italian summary) 924:35045 

Chen, Zu Chi see Qian, Chun Lin; et al., 924:35115 

Chiappinelli, Raffaele On the eigenvalue problem for quasilinear elliptic operators. 
92i:35096 

Chipot, Michel (with Cimatti, Giovanni) A uniqueness result for the thermistor problem. 
92£:80003 

Chistyakov, V.M. see Koshelev, A. I., 92d:35057 

Chu, Ch’i P’ing (with Wang, Huai Ch’iian) Semilinear elliptic problems on an infinite cone. 
92b:35012 

Cimatti, Giovanni see Chipot, Michel, 92f:80003 

Collin, Pascal (with Krust, R.) Le probléme de Dirichlet pour l’équation des surfaces 
minimales sur des domaines non bornés. (English summary) [The Dirichlet problem for 
the minimal surface equation in unbounded domains] 92m:53007 

Concus, Paul (with Finn, Robert) Exotic containers for capillary surfaces. 92c:76014 

Delanoé, Philippe The Dirichlet problem for an equation of given Lorentz-Gaussian 
curvature. (Russian. Ukrainian summary) 92a:58152 

Del Pino, Manuel A. (with Manasevich, Raul F.) Global bifurcation from the eigenvalues 
of the p-Laplacian. 92g:35028 

Egnell, Henrik Positive solutions of semilinear equations in cones. 92f:35018 

Essén, Matts see Bandle, Catherine, 92j:35005 

Fernandez, Luis Alberto see Casas Renteria, Eduardo, 92k:49042 

Fink, A. M. (with Gatica, Juan A.; Hernandez, Gastén E.; Waltman, Paul) Approximation 
of solutions of singular second order boundary value problems. 92f:34016 

Finn, Robert see Concus, Paul, 92c:76014 

Gallouét, Thierry see Boccardo, Lucio, 924:35286 and 92i:35015 

Gatica, Gabriel N. (with Hsiao, George C.) On the coupled BEM and FEM for a nonlinear 
exterior Dirichlet problem in R?. 92j:65179 

Gatica, Juan A. see Fink, A. M.; et al., 92f:34016 

Geba, Leszek (with Pruszko, Tadeusz) Some applications of minimax and topological 
degree to the study of the Dirichlet problem for elliptic partial differential equations. 
92m:35072 

Geisler, Michael (with Runst, Thomas) On a superlinear Ambrosetti-Prodi problem in 
Besov and Triebel-Lizorkin spaces. 92k:46048 

Ghoreishi, Afshin (with Logan, Roger) Positive solutions of a class of biological models in a 
heterogeneous environment. 92f:35059 

Guo, Zong Ming Solvability of some singular nonlinear boundary value probl and 
existence of positive radial solutions of some nonlinear elliptic problems. 92c:35008 

Gupta, Chaitan P. (with Kwong, Ying C.; Netas, Jindfich) Nonresonance conditions for the 
strong solvability of a general elliptic partial differential operator. 92h:35061 

Healey, Timothy J. (with Kielhéfer, Hansjérg) Positivity of global branches of fully 
nonlinear elliptic boundary value problems. 92j:35013 

Heikkila, Seppo see Carl, Siegfried, 92m:35268 

Hernandez, Gaston E. see Fink, A. M.; et al., 92£:34016 

Hernandez, Jesis Maximum principles and decoupling for positive solutions of reaction- 
diffusion systems. 92a:35001 

Hong, Jia Xing (with Zuily, Claude) L? and Hélder estimates for a class of degenerate 
elliptic boundary value problems. Application to the Monge-Ampére equation. 92j:35073 

Hsiao, George C. see Gatica, Gabriel N., 92j:65179 

Kajikiya, Ryuji Infinitely many radially symmetric solutions of certain semilinear elliptic 
equations. 92m:34058 

Kaper, Hans G. (with Kwong, Man Kam; Li, Yi?) On the positive solutions of the free- 
boundary problem for Emden-Fowler type equations. (see 92m:00047) 

Kazarinoff, Nicholas D. see Wang, Shin-Hwa, 92a:35010 

Kielhéfer, Hansjérg see Healey, Timothy J., 92j:35013 

Koshelev, A. I. (with Chistyakov, V.M.) The regularity of solutions for some problems of 
mathematical physics. 92d:35057 

Kovatik, Ondrej (with Rakosnik, Jiti) On spaces L?“) and W*?(*). 92m:46047 

Krust, R. see Collin, Pascal, 92m:53007 

Kurdyumov, S. P. (with Malinetskii, G. G.; Potapov, A. B.) An approximate study of 
symmetric localized structures. (Russian) 92g:35104 

Kwong, Man Kam (with Zhang, LiQun) Uniqueness of the positive solution of Au + f(u) = 
Oin an annulus. 92b:35015 

— see also Kaper, Hans G.; et al., (92m:00047) 

Kwong, Ying C. see Gupta, Chaitan P.; et al., 92h:35061 

Laurence, Peter (with Stredulinsky, Edward) Existence of regular solutions with convex 
level sets for semilinear elliptic equations with nonmonotone L' nonlinearities. II. 
Passage to the limit. 92m:35280 

Li, Congming Monotonicity and symmetry of solutions of fully nonlinear elliptic equations 
on unbounded domains. 92¢:35024 

Li, Yi? see Kaper, Hans G.; et al., (92m:00047) 

Li, Zheng Yuan see Ye, Qi Xiao; et al., 92i:35067 

Liang, Xi Ting Boundary Hdlder continuity of generalized solutions to diagonal nonuni- 
formly elliptic systems. (Chinese. English summary) 92i:35028 

Liao, Guojun G. (with Su, J.) Grid generation via deformation. 

Lin, Sung Shan Positive radial solutions and nonradial bifurcation for semilinear elliptic 
equations in annular domains. 92k:35018 

— On the number of positive solutions for nonlinear elliptic equations when a parameter is 
large. 92d:35030 





35J Partial differential equations of elliptic type 


35565 


— (with Pai, Feng Ming) Existence and multiplicity of positive radial solutions for 
semilinear elliptic equations in annular domains. 92h:35011 

— Existence of positive nonradial solutions for nonlinear elliptic equations in annular 
domains. 92k:35019 

Lions, Jacques-Louis Nonlinear sentinels for distributed systems. (Russian) 92a:49003 

Logan, Roger see Ghoreishi, Afshin, 92f:35059 

Luo, You Song Second order elliptic equations with Venttsel’ boundary conditions. 
92m:35067 

Ma, Li On nonlinear eigenproblems of quasi-linear elliptic operators. 92h:35176 

Malinetskii, G.G. see Kurdyumoy, S. P.; et al., 92g:35104 

Manasevich, Rail F. see Del Pino, Manuel A., 92g:35028 

Mawhin, Jean L. Generic properties of nonlinear boundary value problems. 92f:47066 

Mei, Zhen see Allgower, Eugene L.; et al., 92e:58044 and 92i:35017 

Mikelié, Andro (with Suhadolc, A.; Veselié, K.) On the potential flow of an ideal incom- 
pressible fluid through a porous boundary. 92g:35178 

— Mathematical theory of stationary miscible filtration. 92¢:35136 

Mshimba, Ali Seif The Cauchy-Lebesgue integral and boundary value problems. 92k:30062 

Nakane, Shizuo A bifurcation phenomenon for a Dirichlet problem with an exponential 
nonlinearity. 92h:35021 

Naumann, Joachim (with Wolff, Michael) A uniqueness theorem for weak solutions of the 
stationary semiconductor equations. 92k:35275 

Netas, Jindfich see Gupta, Chaitan P.; et al., 92h:35061 

Nieto, Juan J. Periodic-Neumann boundary value problem for nonlinear parabolic 
equations and application to an elliptic equation. 92¢:35028 

Nirenberg, Louis see Brézis, Haim, 92i:58032 

Omata, Seiro (with Yamaura, Yoshihiko) A free boundary problem for nonlinear elliptic 
equations. 92e:35177 

Pai, Feng Ming see Lin, Sung Shan, 92h:35011 

Papageorgiou, Nikolaos S. An existence theorem for a class of nonlinear elliptic optimal 
control problems. 92j:49002 

Pavel, Nicolae H. see Aftabizadeh, A. R., 92h:47091 

Payne, Lawrence E. (with Philippin, G. A.) On two free boundary problems in potential 
theory. 92k:35298 

(Petrushko, I. M.) see Lions, Jacques-Louis, 92a:49003 

Philippin, G. A. see Payne, Lawrence E., 92k:35298 

Pokhozhaev, S. I. The fibration method for solving nonlinear boundary value problems. 
(Russian) 92m:47129 

Potapov, A. B. see Kurdyumoyv, S. P.; et al., 92g:35104 

Pruszko, Tadeusz see Geba, Leszek, 92m:35072 

Przeradzki, B. An abstract version of the resonance theorem. 92m:47130 

Qian, Chun Lin (with Chen, Zu Chi) Local regularity of generalized solutions in W'” toa 
class of degenerate elliptic equations. (Chinese) 924:35115 

Rakosnik, Jiti see Kovatik, Ondrej, 92m:46047 

Ratiner, N. M. see Zvyagin, V. G., 92g:47091 

Réckner, Michael (with Zegarlinski, Boguslaw) The Dirichlet problem for quasi-linear 
partial differential operators with boundary data given by a distribution. 92a:35170 

Ruf, Bernhard Singularity theory and the bifurcation structure of a nonlinear elliptic 
equation. 92f:58194 

Runst, Thomas see Geisler, Michael, 92k:46048 

Schechter, Martin (with Tintarev, Kyril) Eigenvalues for semilinear boundary value 
problems. 92¢:47077 

— (with Tintarev, Kyril) Points of spherical maxima and solvability of semilinear elliptic 
equations. 92i:47076 

— The in cliff th 92h:58039 

Schmitt, Klaus (with Wang, Zhi Qiang) On bifurcation from infinity for potential 
operators. 92i:58038 

Singh, Kumud Nonlinear elliptic sy in unbounded d 
conditions. 92a:35054 

Spréssig, W. On a class of nonlinear boundary and eigenvalue problems. 92m:30091 

Spruck, Joel see Caffarelli, Luis A., 92d:35083 

Stredulinsky, Edward see Laurence, Peter, 92m:35280 

Su, J. see Liao, Guoiun G. 

Suhadole, A. see Mikeli¢, Andro; et al., 92g:35178 

Tertikas, Achilles Stability and instability of positive solutions of semipositone problems. 
92g:35032 

— see also Brown, K. J., 92e:92018 

Tintarev, Kyril see Schechter, Martin, 92c:47077 and 92i:47076 

Troianiello, Giovanni Maria * Elliptic differential equations and obstacle problems. 
92b:35004 

Veseli¢é, K. see Mikeli¢, Andro; et al., 92g:35178 

Waltman, Paul see Fink, A. M.; et al., 92f:34016 

Wang, Huai Ch’iian see Chu, Ch’i P’ing; et al., 92b:35012 

Wang, Shin-Hwa (with Kazarinoff, Nicholas D.) On positive solutions of some semilinear 
elliptic equations. 92a:35010 

Wang, Shixiao The existence of a positive solution of semilinear elliptic equations with 
limiting Sobolev exponent. 92a:35011 

Wang, Zhi Qiang see Schmitt, Klaus, 92i:58038 

Wolff, Michael see Naumann, Joachim, 92k:35275 

Wong, Fu Hsiang (with Yeh, Cheh Chih) Uniqueness of positive solutions of nonlinear 
boundary value problems. 92a:34024 

Wau, Shao Ping On the surjectivity of the almost linear operator and its applications. 
92k:47128 

Xu, Hai Xiang Existence of nonzero solutions to the natural boundary value problem for 
elliptic systems of second order. (Chinese. English summary) 92e:35062 

Xue, Ru Ying Existence and uniqueness of positive solutions to semilinear elliptic equations 
on an annulus. (Chinese. English summary) 924:35034 

Yamaura, Yoshihiko see Omata, Seiro, 92e:35177 

Yang, Jian Fu Positive solutions of a semilinear elliptic equation and its asymptotic 
behaviour. 92m:35081 











ain with quadratic growth 





35365 


Ye, Qi Xiao (with Li, Zheng Yuan) * Fanying kuosan fangcheng yinlun. (Chinese) 
[Introduction to reaction-diffusion equations] 92i:35067 

Yeh, Cheh Chih see Wong, Fu Hsiang, 92a:34024 

Yu, L.S. see Allegretto, W., 92f:35017 

Zegarliriski, Bogustaw see Rockner, Michael, 92a:35170 

Zhang, Li Qun see Kwong, Man Kam, 92b:35015 

Zhang, Wei Tao Computation of the asymptotic expansions of a kind of nonlinear 
Neumann problems. 92f:35041 

Zhang, Xiang Singular perturbations of the Robin problem for a class of quasilinear elliptic 
equations. (Chinese) 92i:35014 

Zhou, Huan Song see Zhu, Xi Ping; et al., 92a:35018 

Zhou, Zhe Yan A nonlinear eigenvalue problem with boundary perturbation. (Chinese. 
English summary) 92i:34032 

Zhu, Xi Ping (with Zhou, Huan Song) The problem of bifurcation from the essential 
spectrum. (Chinese) 92a:35018 

Zuily, Claude see Hong, Jia Xing, 92j:35073 

Zvyagin, V.G. (with Ratiner, N. M.) Oriented degree of Fredholm mappings of nonnega- 
tive index and its application to a problem on the global bifurcation of solutions. (Rus- 
sian) 92g:47091 

— The properness of elliptic and parabolic differential operators [in Global analysis and 
nonlinear equations (Russian), 58-75, Voronezh. Gos. Univ., Voronezh, 1988; MR 
90k:58224]. (see 92b:58001) 


35J67 Boundary values of solutions to elliptic PDE 


Bafuelos, Rodrigo (with Bass, Richard F.; Burdzy, Krzysztof) Hélder domains and the 
boundary Harnack principle. 92g:35077 

Bass, Richard F. see Baiiuelos, Rodrigo; et al., 92g:35077 

Burdzy, Krzysztof see Baiuelos, Rodrigo; et al., 92g:35077 


Items with secondary classifications in 35367 

Bourgain, Jean (with Wolff, Thomas H.) A remark on gradients of harmonic functions in 
dimension > 3. 92¢:31012 

Brakke, Kenneth A. Minimal surfaces, corners, and wires. 92k:49083 

Shelepov, V. Yu. (with Tedeev, A. F.) An inequality for solutions of elliptic equations and 
its application in the theory of boundary properties. (Russian) 92b:35049 

Tedeev, A. F. see Shelepov, V. Yu., 92b:35049 

Vyborny, Rudolf Maximum principles, boundary point lemmas and convexity. 92h:35029 

Wolff, Thomas H. see Bourgain, Jean, 92c:31012 


35J70 Elliptic partial differential equations of degenerate type 


Aliev, M. D. On the behavior of the solution of a mixed problem in a neighborhood of 
a boundary point for a strongly degenerate elliptic equation. (Russian. English and 
Azerbaijani summaries) 92b:35066 

Andreev, A. A. (with Senitskii, A. Yu.) The Cauchy problem for a system of degenerate 
equations of Lykov type. (Russian) (see 924:35008) 

Berezin, A. Yu. A theorem on an alternative for a degenerate problem with an oblique 
derivative. (Russian. English and Lithuanian summaries) 92f:35069 

Calabritto, Massimo Symmetrization for a nonlinear degenerate elliptic mixed problem. 
(Italian. English summary) 92m:35100 

Chen, Zu Chi Existence of the solution for a nonlinear Keldys-Fichera boundary value 
problem. (see 92a:00039) 

— see also Qian, Chun Lin; et al., 92d:35115 

Choe, Hi Jun Regularity for minimizers of certain degenerate functionals with nonstandard 
growth conditions. 92k:35110 

Citti, Giovanna Existence of positive solutions of quasilinear degenerate elliptic equations 
on unbounded domains. (Italian summary) 92m:35101 

Colombini, Ferruccio (with Del Santo, Daniele) Some uniqueness results for degenerate 
elliptic operators in two variables. 92k:35111 

Del Santo, Daniele see Colombini, Ferruccio, 92k:35111 

De Vescovi, Andrea Study of a relaxed degenerate Dirichlet problem. 924:35113 

Galstyan, A. A. (with Yagdzhyan, K. A.) Uniqueness of the solution of the Cauchy problem 
for degenerate elliptic equations. (Russian) 92g:35078 

Garofalo, Nicola Unique continuation for degenerate elliptic equations. (see 92m:00047) 

Gianazza, Ugo Wiener points and energy decay for a relaxed Dirichlet problem relative to a 
degenerate elliptic operator. 92d:35114 

Hayasida, Kazuya An ill-posed estimate for a class of degenerate quasilinear elliptic 
equations. 92i:35055 

Hong, Jia Xing (with Zuily, Claude) L’ and Hdélder estimates for a class of degenerate 
elliptic boundary value problems. Application to the Monge-Ampére equation. 92j:35073 

Kuwano, Hiroshi A construction of the minimal diffusion processes associated with some 
degenerate elliptic operators. 92f:35070 

Liang, Xi Ting The everywhere Hélder continuity of generalized solutions to quasilinear 
degenerate elliptic systems in diagonal form. (Chinese) 

Makatsariya, G. T. A class of degenerate elliptic systems on the plane. (Russian. English and 
Georgian summaries) 

Mamedov, F.I. see Novruzov, A. A. 

Ma, Jun (with Ziemer, William P.) Smooth regularity of solutions of double obstacle 
problems involving degenerate elliptic equations. 92h:35086 

Mu, Mu The boundary value problem for a degenerate elliptic equation. (Chinese. English 
summary) 92a:35069 

Nosov, V. A. (with Pugach, M.I.) A class of generalized solutions and a solution of 
boundary value problems for equations that are degenerate on a part of the boundary of 
the domain. (Russian) (see 92d:35005) 

Novruzov, A. A. (with Mamedov, F. I.) Smoothness of solutions of second-order degenerate 
quasilinear elliptic equations. (Russian) 

Panyushkin, V. N. Regularity of solutions of degenerate elliptic equations. (Russian) (see 
924d:28002) 

Pugach, M.I. see Nosov, V. A., (92d:35005) 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 584 


Pyatkov, S.G. Solvability of boundary value problems for a nonlinear degenerate elliptic 
equation. (Russian) 92g:35079 

Qian, Chun Lin (with Chen, Zu Chi) Local regularity of generalized solutions in W'” toa 
class of degenerate elliptic equations. (Chinese) 92d:35115 

Sattarov, A. S. Solution of some boundary value problems for an equation with two singular 
lines. (Russian. English summary) 92f:35071 

Senitskii, A. Yu. see Andreev, A. A., (92d:35008) 

Serra Cassano, Francesco An extension of G-convergence to the class of degenerate elliptic 
operators. (Italian) 92a:35070 

Sharipova, R.M. Uniquely solvable boundary value problems for a degenerate elliptic 
system. (Russian. Tajiki summary) 92b:35067 

Tian, Mao Ying The general boundary value problem for nonlinear degenerate elliptic 
equation of second order in the plane. (see 92a:00039) 

Xu, Deng Zhou (with Yao, Qing Liu; Zhang, Ji Hui) Degenerate elliptic problems with 
discontinuous nonlinearities. (Chinese. English summary) 92j:35074 

Yagdzhyan, K. A. see Galstyan, A. A., 92g:35078 

Yanushauskas, Algimantas Some problems in the analytic theory of elliptic equations. 
(Russian. English and Lithuanian summaries) 92k:35112 

Yao, Qing Liu see Xu, Deng Zhou; et al., 92j:35074 

Zaikina, T. B. Uniqueness of the solution of boundary value probl 
degenerate elliptic equations. (Russian) 

Zakirov, S. Kh. A nonlocal boundary value problem for an elliptic equation that is 
degenerate inside the domain. (Russian) 92j:35075 

Zhang, Ji Hui see Xu, Deng Zhou; et al., 92j:35074 

Ziemer, William P. see Mu, Jun, 92h:35086 

Zuily, Claude see Hong, Jia Xing, 92j:35073 





for a system of 


Items with secondary classifications in 35J70 


Alikulov, R. K. Spectral asymptotics of a class of nonselfadjoint elliptic differential 
operators with degeneration on the boundary of the domain. (Russian. Tajiki summary) 
92b:35111 

Allegretto, W. see Xie, Hong, 92m:35099 

Amano, Kazuo Global isometric embedding of a Riemannian 2-manifold with nonnegative 
curvature into a Euclidean 3-space. 92k:53004 

Bardi, Martino (with Perthame, Benoit) Uniform estimates for some degenerating 
quasilinear elliptic equations and a bound on the Harnack constant for linear equations. 
92a:35028 

Boimatov, K. Kh. Multidimensional distribution functions for degenerate elliptic operators. 
(Russian) 92¢:47084 

Boltaev, K.S. Representation of a manifold of solutions, and boundary value problems of 
Cauchy-Dirichlet type for a fourth-order model equation with a singular line. (Russian. 
Tajiki summary) 

Choe, Hi Jun (with Lewis, John L.) On the obstacle problem for quasilinear elliptic 
equations of p Laplacian type. 92b:35055 

Chow, Shui-Nee (with Dunninger, D. R.; Miklavéié, Milan) Galerkin approximations for 
singular linear elliptic and semilinear parabolic problems. 92f:65133 

Collins, Charles (with Luskin, Mitchell) Optimal-order error estimates for the finite 
element approximation of the solution of a nonconvex variational problem. 92a:65276 

Debbaj, Omar Régularité L’ des problémes aux limites de type Hermite et Tricomi. [L?- 
regularity of Hermite and Tricomi boundary value problems] 924d:35056 

Dunninger, D. R. see Chow, Shui-Nee; et al., 92f:65133 

Dupuis, Paul (with Ishii, Hitoshi) On oblique derivative problems for fully nonlinear 
second-order elliptic PDEs on domains with corners. 92b:35060 

Dzhabirov, D. K. On the representation of a manifold of solutions in the form of series for a 
fourth-order differential equation with a singular plane. (Russian. Tajiki summary) 

Dzhuraev, A. D. First-order elliptic systems that are degenerate on the boundary with two 
variables. (Russian) 92i:35043 

Fan, Guangwei see Leung, Anthony W., 92e:35023 

Fang, Hui Zhong Variational problems and non-Dirichlet problems of quasilinear 
degenerate elliptic equations. 92h:35003 

Gadzhiev, M. M. Well-posedness of multidimensional inverse problems for some classes of 
degenerate elliptic equations. (Russian) 92i:35124 

Gu, Lian Kun see Yang, Shi Xin; et al., 92i:35047 

Ishii, Hitoshi see Dupuis, Paul, 92b:35060 

Kadyrov, R. R. see Mirsagatov, Sh. Sh.; et al., 92h:35154 

Katrakhov, V. V. On a singular boundary value problem for the Poisson equation. (Russian) 
925:35034 

Koike, Minoru A note on hypoellipticity of degenerate elliptic operators. 92k:35058 

Leung, Anthony W. (with Fan, Guangwei) Existence of positive solutions for elliptic 
systems—degenerate and nondegenerate ecological models. 92¢:35023 

Lewis, John L. see Choe, Hi Jun, 92b:35055 

Li, Jun Jie? Degenerate nonlinear boundary value problems for fully nonlinear elliptic 
equations of second order. 92h:35677 

Luo, You Song (with Trudinger, Neil S.) Linear second order elliptic equations with 
Venttsel’ boundary conditions. 92i:35040 

Laskin, Mitchell see Collins, Charles, 92a:65276 

Mazzeo, Rafe Regularity for the singular Yamabe problem. 92k:53071 

Miklavéié, Milan see Chow, Shui-Nee; et al., 92f:65133 

Mirsagatov, Sh. Sh. (with Kadyrov, R. R.; Yakubov, O.) Classes of uniqueness for 
solutions of elliptic-parabolic equations in unbounded domains. (Russian. Uzbek 
summary) 92h:35154 

Perthame, Benoit see Bardi, Martino, 92a:35028 

Sattarov, A.S. Integral representations and boundary value problems for a fourth-order 
equation with two singular lines. (Russian. English summary) 92h:35036 

Schulze, Bert-Wolfgang * Pseudo-differential operators and asymptotics on manifolds with 
corners. IX. 92i:58187 

Strugov, Yu. F. Homeomorphy of Q,-extremal mappings. (Russian) 92i:30022 

Trudinger, Neil S. see Luo, You Song, 92i:35040 

Tsybikov, B. N. An inverse problem for an elliptic equation. (Russian) 92i:35128 

Wilson, J. Michael Some two-parameter square function inequalities. 92m:26014 








585 1992 


Xie, Hong (with Allegretto, W.) C(Q) solutions of a class of nonlinear degenerate elliptic 
systems arising in the thermistor problem. 92m:35099 

Yakubov, O. see Mirsagatov, Sh. Sh.; et al., 92h:35154 

Yang, Shi Xin (with Gu, Lian Kun) Nonnegative solutions to boundary value problems 
for a nonlinear degenerate elliptic system of equations. (Chinese. English summary) 
92i:35047 


35J85 Unilateral problems and variational inequalities for elliptic 
PDE [see also 35R35, 49340] 


Ambrosio, Luigi (with Virga, Epifanio G.) A boundary value problem for nematic liquid 
crystals with a variable degree of orientation. 92h:35087 

Caffarelli, Luis A. Some regularity properties of solutions of Monge Ampére equation. 
92h:35088 

Chen, Bao Yao see Lou, Zhuo Ming; et al., 92k:35113 

Chen, Ya Zhe Strong solution of the obstacle problem for fully nonlinear elliptic equations. 
92g:35080 

Choe, Hi Jun A regularity theory for a general class of quasilinear elliptic partial differential 
equations and obstacle problems. 92b:35068 

Giannoni, Fabio Multiplicity of solutions for elliptic inequalities in presence of symmetries. 
(Italian summary) 92b:35069 

Khodja, Khedoudja (with Moussaoui, Mohand) Régularité hélderienne des solutions d’un 
probléme aux limites unilatérales. (English summary) [Hélder regularity of the solutions 
of an elliptic problem with unilateral boundary conditions] 92b:35070 

Li, Sheng Hong see Peng, Fu Lian; et al., 92¢:35076 

Li, Yan Yan Interior gradient estimates for solutions of certain fully nonlinear elliptic 
equations. 92a:35071 

Li, Yi? see Lin, Fang-Hua, 924:35116 

Lieberman, Gary M. Regularity of solutions to some degenerate double obstacle problems. 
92m:35102 

Lin, Fang-Hua (with Li, Yi?) Boundary C' regularity for variational inequalities. 
924d:35116 

Lou, Zhuo Ming (with Chen, Bao Yao) Everywhere regularity for weak solutions to 
variational inequalities of triangular form. 92k:35113 

La, Zhu Jia A remark on three-surface theorem. (see 92m:35004) 

Michael, J. H. (with Ziemer, William P.) Existence of solutions to obstacle problems. 
924:35117 

Moussaoui, Mohand see Khodja, Khedoudja, 92b:35070 

Nazarov, S. A. Asymptotic solution of a variational inequality that models friction. 
(Russian) 92b:35071 

Peng, Fu Lian (with Li, Sheng Hong) Regularity of solutions to quasilinear elliptic 
variational inequalities. (Chinese. English summary) 92e:35076 

Rakotoson, Jean-Michel Equations et inéquations avec des données mesures. (English 
summary) (Equations and inequalities with measures as data] 92m:35103 

Rey, Olivier Blow-up points of solutions to elliptic equations with limiting nonlinearity. 
921:35056 

Sitnikova, E.G. A boundary value problem in the disk. (Russian) 92d:35118 

Toyoizumi, Hiroshi Continuous dependence on obstacles in variational inequalities. 
92h:35089 

Virga, Epifanio G. see Ambrosio, Luigi, 92h:35087 

Vogelsang, Volker On the strong unique continuation principle for inequalities of Maxwell 
type. 92a:35072 


Yang, Xiao Ping Existence of multiple solutions to quasilinear elliptic obstruction problems. 


(Chinese) 92i:35057 

— Existence and regularity of solutions to a class of semilinear higher-order obstacle 
problems. (Chinese. English summary) 92m:35104 

Ziemer, William P. see Michael, J. H., 92d:35117 


Items with secondary classifications in 35J85 

Adimurthi (with Srikanth, P. N.; Yadava, S. L.) Phenomena of critical exponent in R?. 
92h:35068 

Boccardo, Lucio (with Giachetti, D.; Murat, Francois) A generalization of a theorem of H. 
Brézis & F. E. Browder and applications to some unilateral problems. (French and Italian 
summaries) 92¢:46037 

Bonnans, Joseph Frédéric The Pontryagin principle for the control of elliptic systems with 
state constraints: the penalty method. (Spanish) 92f:49009 

Buttazzo, Giuseppe (with Tomarelli, Franco) Compatibility conditions for nonlinear 
Neumann problems. 92i:49003 

— (with Freddi, Lorenzo) Functionals defined on measures and applications to non-equi- 
uniformly elliptic problems. (Italian summary) 92k:49020 

Chipot, Michel Uniqueness results for some variational inequalities with application to the 
Reynolds equation. 92i:49015 

Choe, Hi Jun (with Lewis, John L.) On the obstacle problem for quasilinear elliptic 
equations of p Laplacian type. 92b:35055 

Finzi Vita, Stefano A numerical approach to a class of unilateral elliptic problems of 
nonvariational type. (French summary) 92c:65128 

Freddi, Lorenzo see Buttazzo, Giuseppe, 92k:49020 

Garguichevich, Graciela G. (with Tarzia, Domingo Alberto) A two-phase Stefan problem 
with internal energy source. (Spanish) 92¢:35176 

Giachetti, D. see Boccardo, Lucio; et al., 92c:46037 

Kilpelainen, Tero (with Ziemer, William P.) Pointwise regularity of solutions to nonlinear 
double obstacle problems. 92g:49006 

Kuo, Chung Shéng A variational inequality associated with a lubrication problem. 
92:49015 

Laurence, Peter (with Stredulinsky, Edward) Convex equimeasurable rearrangement: a 
counterexample and an example. (French summary) 92j:35038 

Leaci, Antonio (with Scolozzi, D.) Existence and multiplicity of nonlinear eigenvalues of 
the operator —A — g with respect to two obstacles. (Italian. English summary) 92a:35048 

Lewis, John L. see Choe, Hi Jun, 92b:35055 


35K Parabolic equations and systems 


35K05 


Liang, Xi Ting (with Yu, Ming Qi) Positiveness of nonnegative supersolutions of elliptic 
equations. 92b:35016 

Marchi, Silvana Boundary regularity for weighted quasi-minima. 92g:49035 

Marino, Antonio (with Tosques, M.) Some variational problems with lack of convexity and 
some partial differential inequalities. 92b:49006 

Murat, Francois see Boccardo, Lucio; et al., 92c:46037 

Myslinski, A. Mixed variational approach for shape optimization in contact problem with 
prescribed friction. 92¢:49057 

Rus, Ioan A. On some elliptic equations with deviating arguments. 92d:35053 

Scolozzi, D. see Leaci, Antonio, 92a:35048 

Simader, Christian G. The weak Dirichlet and Neumann problem for the Laplacian in L?¢ 
for bounded and exterior domains. Applications. 92m:35055 

Srikanth, P. N. see Adimurthi; et al., 92h:35068 

Steinbach, Jérg FDM approximation of variational inequalities with an application to 
injection moulding. (see 92b:65009) 

Stredulinsky, Edward see Laurence, Peter, 92j:35038 

Suzuki, Takashi Introduction to geometric potential theory. 92d:35033 

Tarafdar, E. Nonlinear variational inequality with application to the boundary value 
problem for quasilinear operator in generalized divergence form. 92¢:47079 

Tarzia, Domingo Alberto see Garguichevich, Graciela G., 92¢:35176 

Tomarelli, Franco see Buttazzo, Giuseppe, 92i:49003 

Tosques, M. see Marino, Antonio, 92b:49006 

Troianiello, Giovanni Maria * Elliptic differential equations and obstacle problems. 
92b:35004 

Vyborny, Rudolf The Hadamard three-circles theorems for nonlinear equations. 924:35054 

Walter, Wolfgang L. Differential inequalities. 92f:26029 

Xie, Zheng Hui Incomplete biquadratic nonconforming plate element approximation of 
variational inequalities. (Chinese. English summary) 92d:73050 

— Approximation of nonconforming finite element of free boundary problem. (Chinese 
summary) 92¢:65157 

Yadava, S. L. see Adimurthi; et al., 92h:35068 

Yang, Xiao Ping Regularity and nonexistence of solutions to a class of free boundary 
problems. (Chinese. English summary) 92e:35178 

Yu, Ming Qi see Liang, Xi Ting, 92b:35016 

Zhang, Xiao Lan The FVI element approximation for variational inequalities with 
biharmonic operators. (Chinese. English summary) 92d:65202 

Ziemer, William P. see Kilpelainen, Tero, 92g:49006 


35J99 None of the above, but in this section 


Ramaswamy, Mythily A counterexample to the conjecture of Saint Venant via reflection 
methods. 92b:35072 


Items with secondary classifications in 35J99 

Bolley, Pierre (with Camus, Jacques; Métivier, Guy) Vecteurs analytiques réduits et 
analyticité. (English summary) [Reduced analytic vectors and analyticity] 92c¢:35003 

Camus, Jacques see Bolley, Pierre; et al., 92c:35003 

Dubrovskii, V. V. Abstract formulas for regularized traces of elliptic smooth differential 
operators defined on compact manifolds. (Russian) 92m:47092 

Frank, L.S. Toeplitz matrices and the theory of one-parameter families of difference 
operators. 92d:47048 

Jerison, David Prescribing harmonic measure on convex domains. 92k:31003 

Kwon, Youngmee (with Williams, Ruth J.) Reflected Brownian motion in a cone with 
radially homogeneous reflection field. 92a:60174 

Métivier, Guy see Bolley, Pierre; et al., 92c:35003 

Robinson, Derek W. * Elliptic operators and Lie groups. 92m:58133 

— Elliptic differential operators on Lie groups. 924:22013 

Ruiz, Alberto (with Vega, Luis) Unique continuation for the solutions of the Laplacian plus 
a drift. (French summary) 92k:35043 

Schulze, Bert-Wolfgang Elliptic regularity with continuous and branching edge asymptotics. 
92g:35038 

Skubachevskii, A. L. (with Tsvetkov, E. L.) The second boundary value problem for elliptic 
differential-difference equations. (Russian) 92b:35163 

Tsvetkov, E. L. see Skubachevskii, A. L., 92b:35163 

Vega, Luis see Ruiz, Alberto, 92k:35043 

Williams, Ruth J. see Kwon, Youngmee, 92a:60174 


35Kxx Parabolic equations and systems [see also 35Bxx, 
35Dxx, 35R30, 35R35, 58G11] 


Items with secondary classifications in 35Kxx 

(Lloyd, N. G.) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

(Ni, Wei-Ming) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

(Peletier, L. A.) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 

Radkevich, E. V. Asymptotic expansions of solutions of parabolic boundary value problems 
with a free boundary. (Russian) 92e:35046 

(Serrin, James) see Nonlinear diffusion equations and their equilibrium states, 92m:35003 


Items listed otherwise than by author 
Conference: 
Nonlinear Diffusion Equations and their Equilibrium States * Nonlinear diffusion 
equations and their equilibrium states. 3. 92m:35003 
Gregynog * Nonlinear diffusion equations and their equilibrium states. 3. 92m:35003 
Nonlinear diffusion equations and their equilibrium states * Nonlinear diffusion equations 
and their equilibrium states. 3. 92m:35003 


35K05 Heat equation 
Abenov, M. M. see Kim, E. I. 





35K05 


Casas Renteria, Eduardo The Cauchy problem for the heat equation in a half-space. 
(Spanish) 92j:35076 

Denisov, V. N. Stabilization of the solution of the Cauchy problem for an iterated heat 
equation. (Russian) 

Dinh Nho Hao (with Gorenflo, Rudolf) A noncharacteristic Cauchy problem for the heat 
equation. 92m:35105 

Gorenflo, Rudolf see Dinh Nho Hao, 92m:35105 

Hachaj, Jadwiga The limit problem for the heat equation with boundary conditions of the 
third kind. (Polish summary) (see 92c:00013) 

— The Fourier problem for the rectangular with mixed boundary data. (Polish summary) 
(see 92¢:00013) 

— The Fourier problem for the time-spatial rectangular. (Polish summary) (see 92c:00013) 

Hsiao, George C. (with Saranen, J.) Integral equation solution of some heat conduction 
problems. 924:35119 

Hui, Kin Ming A Fatou theorem for the solution of the heat equation at the corner points of 
acylinder. 92m:35106 

Kim, E. I. (with Abenov, M. M.) On the oblique derivative problem for a two-dimensional 
heat equation in a quarter-plane. (Russian) 

Koilyshov, U. K. The first boundary value problem for the heat equation in a degenerate 
domain. (Russian) 92c:35051 

Lewis, John L. (with Murray, Margaret A.M.) Regularity properties of commutators and 
layer potentials associated to the heat equation. 92c:35052 

Lépex, Martin (with Martinez Sanchez, Francisco Rafael; Omar Silva, Jorge) On the initial- 

dary value p for the heat equation. (Spanish. English summary) 92m:35107 

Martinez Sanchez, Francisco Rafael see Lépez, Martin; et al., 92m:35107 

Migon, Jerzy Fourier-Poincaré problem for the strip. (Polish summary) (see 92c:00013) 

Milewski, Jan The Fourier problem for trapezium. (Polish summary) (see 92c:00013) 

Morro, Angelo (with Payne, Lawrence E.; Straughan, Brian) Decay, growth, continuous 
dependence and uniqueness results in generalized heat conduction theories. 92h:35090 

Murray, Margaret A. M. see Lewis, John L., 92c:35052 

Musiatek, Jan (with Pytel-Kudela, Marzenna) Biparabolic limit problem for half- 
unbounded domain and Lauricella boundary conditions. (Polish summary) 

Omar Silva, Jorge see Lépez, Martin; et al., 92m:35107 

Payne, Lawrence E. see Morro, Angelo; et al., 92h:35090 

Protasov, A. N. see Zubov, N. V.; et al., 92j:35077 

Pytel-Kudela, Marzenna see Musiaiek, Jan 

Roos, Hans-Girg The direct computation of the quasi-stationary temperature field for heat 
conduction problems with periodically oscillating temperature fields. 

Sadallah, Boubaker-Khaled Smoothness of the singularity for the heat equation in a 
polygonal domain. II. (Arabic. English summary) 92k:35114 

Saitoh, Saburou Isometrical identities and inverse formulas in the one-dimensional heat 
equation. 92d:35120 

Saranen, J. see Hsiao, George C., 92d:35119 

von Seggern, Rainer * ' Lésungen von Randwertproblemen zweiter Art fiir die 
War gsgleichung in geschichteten Materialien. (German) [Solutions of boundary 
value problems of the second kind for the equation of heat conduction in composite mate- 
rials] 92a:35073 

Shelukhin, V. V. On a quadratic functional in a nonlocal boundary value probl 
heat equation. (Russian) 924:35121 

Stranghan, Brian see Morro, Angelo; et al., 92h:35090 

Tal-Figiel, Barbara The limit problem for the exterior of the ball for heat conduction. 
(Polish summary) (see 92c:00013) 

— The limit problem for the ball for heat conduction. (Polish summary) (see 92c:00013) 

Tarasov, A. A. see Zubov, N. V.; et al., 92j:35077 

Wachnicka, Krystyna The parabolic problem for the interior of the sphere and for the 
boundary conditions of the third kind. (Polish summary) (see 92c:00013) 

Wallace, D. 1. (with Wolf, Joseph A.) Observability of evolution equations for invariant 
differential operators. 92m:35108 

Wolf, Joseph A. see Wallace, D. I., 92m:35108 

Zayed, E.M.E. Heat equation for a general convex domain in R? with a finite number of 
piecewise impedance boundary conditions. 92f:35072 

Zabov, N. V. (with Protasov, A. N.; Tarasov, A. A.) Analytic methods for ensuring the 
reliability of a heat-exchange apparatus at the design stage. (Russian) 92j:35077 











for the 


Items with secondary classifications in 35K05 

Acker, Andrew (with Lancaster, Kirk E.) Existence and geometry of a free boundary 
problem for the heat equation. 92b:35174 

Alessandrini, Giovanni Characterizing spheres by functional relations on solutions of elliptic 
and parabolic equations. 92e:35070 

Amerov, T. K. Conditional invariance of the nonlinear heat equation. (Russian) (see 
92b:35011) 

Athanasopoulos, Ioannis (with Salsa, Sandro) An application of a parabolic comparison 
principle to free boundary problems. 924:35306 

Bajpai, Shri Dhar (with Mishra, Sadhana) Meijer’s G-function and Fox’s H-function and 
heat conduction in a rod under typical boundary conditions. 92m:80004 

Barlow, Martin T. Random walks and diffusions on fractals. (see 92m:00054) 

van den Berg, M. Heat equation on a hemisphere. 92f:58173 

Bobula, Eugeniusz Free boundary problem for the spontaneous diffusion. 92a:35164 

Brown, Russell M. The trace of the heat kernel in domains with nonsmooth boundaries. 
(see 92m:00047) 

Calderén, Alberto P. (with Sagher, Yoram) The Hilbert transform of the Gaussian. 
92k:35010 

Carja, Ovidiu The minimal time function for the heat equation with boundary control. (see 
92m:93001) 

Davies, E. B. * Heat kernels and spectral theory. 92a:35035 

Davis, Burgess Intrinsic ultracontractivity and probability. (see 92m:00047) 

Ehriacher, A. see Naciri, T.; et al., (92a:65021) 

Funaro, Daniele (with Kavian, Otared) Approximation of some diffusion evolution 
equations in unbounded domains by Hermite functions. 92k:35156 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 586 


Grigor’'yan, A. A. The heat equation on noncompact Riemannian manifolds. (Russian) 
92h:58189 

Grisvard, Pierre Some known results that fail on nonconvex domains. (see 92d:00018) 

Guo, Lijia (with Murio, Diego A.) A mollified space-marching finite-difference algorithm 
for the two-dimensional inverse heat conduction problem with slab symmetry. 92b:80010 

Ilolov, M. The heat equation with deviating time argument. (Russian) 92f:35141 

Jung, Hartmut * Zur Zeitasymptotik von Wellenausbreitungs- und Warmeleitungspro- 
zessen in inhomogenen Medien. (German) [On the time asymptotics of wave propagation 
and heat conduction processes in inhomogeneous media] 92b:35031 

Kaliev, I. A. (with Razinkov, E. N.) On the Stefan problem with phase relaxation. (Russian) 
92b:35178 

Kalnins, E.G. (with Levine, Raphael D.; Miller, Willard, Jr.) Conformal symmetries and 
generalized recurrences for heat and Schrédinger equations in one spatial dimension. 
92d:58221 

Kamyad, A. V. (with Rubio, J. E.; Wilson, D. A.) Optimal control of the multidimensional 
diffusion equation. 924:49005 

Kavian, Otared see Funaro, Daniele, 92k:35156 

Khankishiev, Z. F. Convergence of a difference scheme that corresponds to a mixed 
problem for the heat equation that contains a time derivative in the boundary conditions. 
(Russian) 92b:65082 

Lancaster, Kirk E. see Acker, Andrew, 92b:35174 

Levine, Raphael D. see Kalnins, E. G.; et al., 92d:58221 

Li, Wen Shen A moving boundary problem for the heat conduction equation. (Chinese. 
English summary) 92f:35147 

Lin, Fang-Hua Nodal sets of solutions of elliptic and parabolic equations. 92b:58224 

Martinet, Jean * Thermocinétique approfondie. (French) [Advanced thermokinetics] 
924:80001 

Messina, Angelo see de Rienzo, V., 92k:35300 

Miller, Willard, Jr. see Kalnins, E. G.; et al., 92d:58221 

Mishra, Sadhana see Bajpai, Shri Dhar, 92m:80004 

Mohamed, Fouad A. Determination of an unknown function in parabolic problems with 
standard and nonstandard boundary data. 92d:35301 

Mario, Diego A. see Guo, Lijia, 92b:80010 

Naciri, T. (with Navi, P.; Ehrlacher, A.) Harmonic wave propagation in viscoelastic 
composite materials. (see 92a:65021) 

Navi, P. see Naciri, T.; et al., (92a:65021) 

Pesquera, L. see Valle, A.; et al., 92a:82116 

Razinkov, E. N. see Kaliev, I. A., 92b:35178 

de Rienzo, V. (with Messina, Angelo) On the solidification of a well-agitated fluid. (Italian. 
English summary) 92k:35300 

Rodriguez, Miguel Angel see Valle, A.; et al., 92a:82116 

Rubio, J. E. see Kamyad, A. V.; et al., 92d:49005 

Sagher, Yoram see Calderén, Alberto P., 92k:35010 

Salsa, Sandro see Athanasopoulos, Ioannis, 92d:35306 

Shi, Xue Yu Boundary value problems for a class of elliptic equations with discontinuous 
coefficients in a half-space. (Chinese. English summary) 924:35288 

Tarzia, Domingo Alberto (with Turner, Cristina Vilma) A note on the existence of a waiting 
time for a two-phase Stefan problem. 92k:35301 

Turner, Cristina Vilma see Tarzia, Domingo Alberto, 92k:35301 

Ueki, Naomasa A probabilistic approach to the heat equation for the 9-Neumann problem. 
92k:58265 

Vabishchevich, P. N. Difference methods for solving a boundary inverse probl 
conduction. (Russian) 92f:65107 

Valle, A. (with Rodriguez, Miguel Angel; Pesquera, L.) Diffusion in a continuous medium 
with space-correlated disorder. 92a:82116 

Watson, N. A. Mean values and thermic majorization of subtemperatures. 92k:31001 

Wilson, D. A. see Kamyad, A. V.; et al., 92d:49005 

Yin, Hong Ming A free boundary problem describing an irreversible crystallization process. 
92b:35181 

Yuan, Yi Wu Some exact solutions to heat conduction problems for variable thermal 
conductivities. (Chinese. English summary) 

ZAankiewicz, Zbigniew The heat conduction problem with nonlinear boundary conditions 
for the strip. (Polish summary) (see 92c:00013) 





of heat 


35K10 General theory of second-order, parabolic equations 


Ancona, Alano (with Taylor, John Christopher) Some remarks on Widder’s theorem and 
uniqueness of isolated singularities for parabolic equations. (see 92m:00047) 

Babich, V.M. Absence of singularities on a Gaussian beam in the case of a diffusion 
equation. (Russian. English summary) 

Bulycheva, O. N. (with Vasil‘eva, A. B.; Sushko, V.G.) Asymptotic expansions with respect 
to small parameters of the solutions of some problems for parabolic equations. (Russian) 
92h:35091 

Denisov, V. N. Stabilization of solutions of parabolic equations, and the central limit 
theorem. (Russian) 924:35122 

Fabes, Eugene B. (with Garofalo, Nicola; Salsa, Sandro) A control on the set where a 
Green’s function vanishes. 92a:35074 

Garofalo, Nicola see Fabes, Eugene B.; et al., 92a:35074 

Levenshtam, V. B. Higher approximations of the averaging method for a convection 
problem in a field of rapidly oscillating forces. (Russian) 

Norris, James R. (with Stroock, Daniel W.) Estimates on the fundamental solution to heat 
flows with uniformly elliptic coefficients. 92a:35075 

Papiez, Lech S. (with Sandison, George A.) A diffusion model with loss of particles. 
92£:35073 

Petrushko, I. M. Boundary values of solutions of second-order parabolic equations that are 
d ate on the boundary of the domain. (Russian) 92d:35123 

Pinchover, Yehuda Large time behavior of the heat kernel and the behavior of the Green 
function near criticality for nonsymmetric elliptic operators. 92m:35109 

Popov, N. N. (with Solodov, V.M.) An algorithm for solving evolution equations of 
parabolic type. (Russian) 92i:35058 








587 1992 


Salsa, Sandro see Fabes, Eugene B.; et al., 92a:35074 
Sandison, George A. see Papiez, Lech S., 92f:35073 
Solodov, V. M. see Popov, N. N., 92i:35058 

Stroock, Daniel W. see Norris, James R., 92a:35075 
Sushko, V.G. see Bulycheva, O. N.; et al., 92h:35091 
Taylor, John Christopher see Ancona, Alano, (92m:00047) 
Vasileva, A. B. see Bulycheva, O. N.; et al., 92h:35091 


Items with secondary classifications in 35K10 

Guo, Bao Qi see Yang, Guang; et al. and Li, Ying Hua!; et al. 

Hieber, Matthias Integrated semigroups and differential operators on L? spaces. 92g:47052 

I¥in, V. P. Incomplete factorization methods for solving parabolic equations. (Russian) 
92g:65109 

Izbasarov, B. (with Umbetzhanov, D. U.) Solutions of second-order parabolic equations 
that are quasiperiodic with respect to time and periodic with respect to the space 
variables. (Russian. English and Kazakh summaries) 92i:35008 

Kondrat'ev, V. A. (with Landis, E.M.) Qualitative theory of second-order linear partial 
differential equations. (Russian) 92m:35015 

Krasovskii, Yu. P. Estimation of the solutions of parabolic problems without an initial 
condition. (Russian) 92g:35035 

Landis, E.M. see Kondrat'ev, V. A., 92m:35015 

Li, Ying Hua! (with Guo, Bao Qi; Wu, Jian Cheng; Niu, Pei Kun) An inverse problem for 
determining the unknown coefficient k(x) in the equation u, — (k(x)ux)x. + B(x)ux + 
c(x)u = 0. (Chinese. English summary) 

Lunardi, Alessandra (with Vespri, Vincenzo) Hélder regularity in variational parabolic 
nonhomogeneous equations. 92j:35021 

Niu, Pei Kun see Li, Ying Hua’; et al. 

Saitoh, Saburou Isometrical identities and inverse formulas in the one-dimensional 
Schrédinger equation. 92g:35057 

Sobolevskii, E. P. (with Sobolevskii, P. E.) The commutant method and the coercivity of 
the Cauchy problem. (Russian) 92f:34055 

Sobolevskii, P. E. see Sobolevskii, E. P., 92f:34055 

Turski, Andrzej W. A modern proof of the maximum principle. 92c:35026 

Umbetzhanov, D. U. see Izbasarov, B., 92i:35008 

Vespri, Vincenzo see Lunardi, Alessandra, 92j:35021 

Winiarska, Teresa Parabolic equations with coefficients depending on ¢ and parameters. 
92a:34065 

Wa, Jian Cheng see Li, Ying Hua’; et al. 

Yang, Guang (with Guo, Bao Qi) The inverse problem for determining unknown coefficient 
in the parabolic equation. I. 


35K15 Initial value problems for second-order, parabolic 
equations 


Belingeri, C. A Cauchy problem for a parabolic equation in spaces of ultradistributions. 
(Italian. English summary) 92b:35073 

Brenier, Yann Remarks on some linear hyperbolic equations with oscillatory coefficients. 
(see 92a:00036) 

Denisov, V. N. On the stabilization of the solution of the Cauchy problem for a second-order 
parabolic equation. (Russian) 92d:35124 

Litvin, O. N. Exact solution of the Cauchy problem for the equation []/_o(9/t — 
a?0?/8x*)u(x, t) = g(x, t). (Russian. English summary) 

Palagachev, D. K. The tangential oblique derivative problem for linear parabolic equations 
of second order. II. 92i:35059 

Sultanov, M. A. Stability of a one-dimensional inverse problem for the Schrédinger 
equation. (Russian) (see 92d:00011) 

Umarov, Kh. G. The Cauchy problem in a Banach space for an analogue of a diffusion 
equation that is not solved with respect to the time derivative. (Russian) 92¢e:35077 


Items with secondary classifications in 35K15 

Akhtamova, S.S. (with Belov, Yu. Ya.) Some inverse problems for parabolic equations. 
(Russian) 924:35292 

Belleni-Morante, Aldo (with Totaro, Silvia) A mathematical model for human body 
temperature. 92f:92017 

Belopol’skaya, Ya. 1. Parabolic equations in sections of principal bundles. (Russian) 
92m:58149 

Belov, Yu. Ya. see Akhtamova, S. S., 92d:35292 

Bonzani, I. (with Riganti, R.; Zavattaro, M. G.) Transient solution to the diffusion equation 
for nonlinear stochastically perturbed systems. 92d:93102 

Borodich, S.M. The behavior, as t — +00, of solutions of some nonautonomous equations. 
(Russian) 92£:58160 

Cannon, John R. (with Lin, Yan Ping; Wang, Shingmin) Determination of a control 
parameter in a parabolic partial differential equation. 92¢:35171 

Chen, Xinfu Generation and propagation of interfaces for reaction-diffusion equations. 
92m:35129 

Eidus, D. The perturbed Laplace operator in a weighted L?-space. 92k:35061 

Guo, Bao Qi A class of inverse problems of determining the coefficients of the first 
derivatives of parabolic equations. II. (Chinese. English summary) 92k:35287 

Krol, M.S. On the averaging method in nearly time-periodic advection-diffusion problems. 
92h:76077 

Lin, Yan Ping see Cannon, John R.; et al., 92e:35171 

Patricio, F. A class of methods for diffusion-convection equations. 92g:65094 

Riganti, R. see Bonzani, 1.; et al., 92d:93102 

Totaro, Silvia see Belleni-Morante, Aldo, 92f:92017 

Wang, Shingmin see Cannon, John R.; et al., 92e:35171 

Zavattaro, M.G. see Bonzani, 1.; et al., 92d:93102 


35K Parabolic equations and systems 


35K20 


35K20 Boundary value problems for second-order, parabolic 
equations 


Alkhutov, Yu. A. Removable singularities of solutions of second-order parabolic equations. 
(Russian) 92m:35110 

Bramanti, Marco Symmetrization in parabolic Neumann problems. 92g:35081 

Escauriaza, Luis A note on Krylov-Tso’s parabolic inequality. 92j:35078 

Filinovskii, A. V. see Muravei, L. A., 92g:35083 and 92k:35119 

Frolova, E. V. A nonstationary problem in a dihedral angle. I. (Russian. English summary) 
92k:35115 

— see also Solonnikov, V. A., 92k:35116 

Fursevich, L. V. see Galitsyn, A. S., 92k:35117 

Galitsyn, A. S. (with Fursevich, L. V.) A method for solving essentially nonhomogeneous 
problems of heat conduction with boundary conditions of impedance type. (Russian) 
92k:35117 

Garroni, Maria Giovanna (with Menaldi, José-Luis) Green’s function and invariant density 
for an integro-differential operator of second order. 92c:35053 

Glushankova, L. Ya. (with Kolesnikova, N.S.) Mixed problems for a diffusion equation 
with a variable coefficient. (Russian) (see 92b:00031) 

Gitz, I. G. (with Zal‘tsman, B. B.) On the behaviour of mushy region in a Stefan problem. 
(see 92b:65009) 

Guan, Zhi Cheng Groundwater mass transport and homogeneous equilibrium chemistry in 
the presence of flux boundary conditions. 92f:35074 

Gupalo, A. S. (with Lopushans‘ka, G. P.) Generalized boundary values of the solution of a 
second-order homogeneous parabolic equation. (Russian) 92b:35074 

Kaliaskarova, T. R. Conditionally well-posed boundary value problems with a time 
derivative in the boundary conditions for heat and mass exchange systems. (Russian. 
English summary) 92k:35118 

Kamynin, L. I. Applications of parabolic Pagni potentials to boundary value probl in 
mathematical physics. I. (Russian) 92¢:35078 

— Applications of parabolic potentials to boundary value probl 
Il. (Russian) 924:35125 

— Application of parabolic potentials to boundary value problems in mathematical physics. 
Ill. (Russian) 92g:35082 

— Applications of parabolic Pagni potentials to boundary value problems in mathematical 
physics. II. (Russian) 92j:35079 

Kolesnikova, N.S. see Glushankova, L. Ya., (92b:00031) 

Laigle, P. (with Mastrangelo, Victor; Vial, D.; Xhemalce, S.) Résolution stochastique de 
systémes d’équations aux dérivées partielles du type parabolique affine et applications 
physiques. [Stochastic solution of affine parabolic partial differential equations and 
physical applications] 92i:35060 

G. P. see Gupalo, A. S., 92b:35074 

Mastrangelo, Victor see Laigle, P.; et al., 92i:35060 

Menaldi, José-Luis see Garroni, Maria Giovanna, 92c:35053 

Mishev, D. P. Necessary and sufficient conditions for oscillation of neutral type of parabolic 
differential equations. 92m:35111 

Muravei, L. A. (with Filinovskii, A. V.) A parabolic boundary value probl 
92g:35083 

— (with Filinovskii, A. V.) A problem with a nonlocal boundary condition for a parabolic 
equation. (Russian) 92k:35119 

Nur-Eddin, Benuar (with Yurchuk, N. 1.) A mixed problem with an integral condition for 
parabolic equations with a Bessel operator. (Russian) 92k:35120 

Petrova, Radka I. Convolutional representation of the solution of a nonlocal boundary value 
problem for the heat equation. (Bulgarian. English and Russian summaries) 

Safarov, Dzhuma Problems without initial conditions for nonclassical systems. (Russian. 
English and Lithuanian summaries) 92f:35075 

Safiev, .K. On the membership in class V;"° of the classical solution of a mixed problem 
for second-order parabolic systems. (Russian) 

Solonnikov, V. A. (with Frolova, E. V.) A nonstationary problem in a dihedral angle. II. 
(Russian. English summary) 92k:35116 

Tersenov, S. A. On the first boundary value problem for a direct-inverse parabolic equation. 
(Russian) 92j:35080 

Ugowski, Henryk On the first Fourier problem for a linear parabolic equation without 
compatibility condition. 92m:35112 

Vafodorova, Gulpari Problems without initial conditions for a parabolic equation. (Russian. 
English and Lithuanian summaries) 92h:35092 

Vial, D. see Laigle, P.; et al., 92i:35060 

Xhemalce, S. see Laigle, P.; et al., 92i:35060 

Yurchuk, N. I. see Nur-Eddin, Benuar, 92k:35120 

Zal'tsman, B. B. see Gotz, I. G., (92b:65009) 


Items with secondary classifications in 35K20 


Bajpai, Shri Dhar Fourier expansions for Fox’s H-function of two variables and two- 
dimensional parabolic equations. 92m:33023 

Banasiak, Jacek (with Roach, Gary F.) On corner singularities of solutions to mixed 
boundary-value problems for second-order elliptic and parabolic equations. 92f:35011 

Barbu, Viorel The approximate solvability of the inverse one phase Stefan problem. 
92g:35239 

Belov, Yu. Ya. (with Savateev, E.G.) An inverse problem for a parabolic equation with an 
unknown coefficient multiplying the time derivative. (Russian) 92h:35236 

Betta, Maria Francesca Neumann problem: comparison results. (Italian summary) 
92j:35006 

Bownds, John M. (with Rizk, Tony A.) The inverse Laplace transform of an exact analytical 
solution for a BVP in groundwater theory. 92m:35201 

Brauner, Claude-Michel (with Noor Ebad, S.; Schmidt-Lainé, Claudine) Nonlinear stability 
analysis of singular travelling waves in combustion—a one-phase problem. 92k:35031 

Cannon, John R. (with Rundell, William) Recovering a time dependent coefficient in a 
parabolic differential equation. 92g:35227 

Chen, Zhi Ming Numerical solutions of two phase continuous casting problem. 924:65174 

Day, W. A. A theorem about work in dynamic linear thermoelasticity. 92¢:73010 








in mathematical physics. 





(Russian) 





35K20 


Dinh Phi Bang see Radyno, Ya. V., 92m:35283 

Dore, Giovanni (with Venni, Alberto) Maximal regularity for parabolic initial-boundary 
value problems in Sobolev spaces. 92i:47092 

Favini, Angelo Parabolicity of second order differential equations in Hilbert space. 
92b:34068 

Fazano, A. (with Primicerio, Mario; Radkevich, E. V.) Transition zone problems. (Russian) 
92k:35293 

Friedman, Avner (with Reitich, Fernando) The Stefan problem with small surface tension. 
92¢:35125 

Gilliam, David S. (with Martin, Clyde Franklin) Discrete observability of parabolic initial- 
boundary value problems. 92a:35161 

Gutman, Semion (with White, Luther W.) The estimation of L© diffusion coefficients in the 
parabolic equations. 92g:35228 

Jackson, Dennis E. Error estimates for the semidiscrete finite element approximation of 
linear nonlocal parabolic equations. 92i:65149 

Jensen, Soren S. (with Laitinen, Erkki Juhani; Neittaanmaki, Pekka; Seidman, Thomas I.) 
Computational stability of an initially radial solution of a growth/dissolution problem in 
a nonradial implementation. (see 92b:65009) 

Karafiat, Andrzej Discrete maximum principle in parabolic boundary-value problems. 
924:35052 

Khapalov, A. Yu. see Kurzhanskii, A. B., 92k:93032 

Kowalewski, Adam Optimality conditions for a parabolic time delay system. 92¢:49035 

Kurzhanskii, A. B. (with Khapalov, A. Yu.) An observation theory for distributed- 
parameter systems. 92k:93032 

Kuzenkov, O. A. (with Plotnikov, V. 1.) Existence and uniqueness of a generalized solution 
of a linear vector equation of parabolic type in the third boundary value problem. 
(Russian) 92i:35026 

Laitinen, Erkki Juhani see Jensen, Soren S.; et al., (92b:65009) 

Li, JiChun see Wu, Qi Guang; et al., 92g:65095 

Li, Zheng Yuan see Ye, Qi Xiao; et al., 92i1:35067 

Lunardi, Alessandra Stabilizability of time-periodic parabolic equations. 92i:93083 

Martin, Clyde Franklin see Gilliam, David S., 92a:35161 

Miyazaki, Yéichi Domains of square roots of regularly accretive operators. 92c:47045 

Mukminov, F. Kh. Uniform stabilization of solutions of the first mixed problem for a 
parabolic equation. (Russian) 92a:35020 

Neittaanmaki, Pekka see Jensen, Soren S.; et al., (92b:65009) 

Noor Ebad, S. see Brauner, Claude-Michel; et al., 92k:35031 

Orlovskii, D. G. Solvability of an inverse problem for a parabolic equation in the Hélder 
class. (Russian) 92m:35275 

Palagachev, D. K. The tangential oblique derivative problem for linear parabolic equations 
of second order. II. 92i:35059 

Pardasani, K. R. see Saxena, V. P.; et al. 

Penning, F. D. Continuous dependence results for parabolic probl 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 588 


Brown, Russell M. (with Shen, Zhong Wei) The initial-Dirichlet problem for a fourth-order 
parabolic equation in Lipschitz cylinders. 92b:35075 

Delladio, Silvano Some remarks on time-dependent evolution systems in the hyperbolic 
case. 92f:35076 

Demengel, Francoise (with Ghidaglia, Jean-Michel) Inertial manifolds for partial 
differential evolution equations under time-discretization: existence, convergence, and 
applications. (French summary) 92e:35079 

Freedman, M. A. Further investigation of the relation of the operator 0/0 + 0/87 to 
evolution governed by accretive operators. 92i:35061 

Ghidaglia, Jean-Michel see Demengel, Francoise, 92e:35079 

Giga, Yoshikazu (with Sohr, Hermann) Abstract L? estimates for the Cauchy problem with 
applications to the Navier-Stokes equations in exterior domains. 92m:35114 

— (with Sato, Moto-Hiko) Generalized interface evolution with the Neumann boundary 
condition. 92k:35121 

IVina, A. V. On the asymptotic behavior with respect to the small parameter of solutions of 
a fourth-order nonlinear evolution system that admits an L-A representation. (Russian) 

Jancel, R. (with Wilhelmsson, H.) Quasi-linear parabolic equations: some properties of 
physical significance. 92d:35126 

Kingston, J.G. On point transformations of evolution equations. 92¢:35054 

Kitagawa, Keiichiro Sur des conditions nécessaires pour les équations en évolution pour 
que le probléme de Cauchy soit bien posé dans les classes de fonctions C™. I. [Necessary 
conditions for the well-posedness of the Cauchy problem in classes of C°°-functions for 
evolution equations. I] 924:35127 

— Sur des conditions nécessaires pour les équations en évolution pour que le probléme de 
Cauchy soit bien posé dans les classes de fonctions C™. II. [Necessary conditions for the 
well-posedness of the Cauchy problem in classes of C®-functions for evolution equations. 
II] 92g:35084 

Konyukhova, N. B. On the existence and uniqueness of solutions, bounded in time, of 
systems of evolution quasilinear equations with first-order partial derivatives. (Russian) 
92m:35115 

Lakshmanan, M. see Tamizhmani, K. M.,; et al., 924:35130 

Lezhenina, I. F. (with Sobolevskii, P. E.) Estimation of solutions of a parabolic equation 
with a singular estimate for the coefficient. (Russian) 92j:35081 

Mikhailov, A.S. Intermittency of growth and solitons of the nonlinear Schrédinger 
equation. 92d:35128 

Papageorgiou, Nikolaos S. see Avgerinos, Evgenios P., 92h:35093 

Romanov, A. V. On the dimension of the center manifold for semilinear parabolic 
equations. (Russian. Ukrainian summary) 92f:35077 

Sahadevan, R. see Tamizhmani, K. M.; et al., 92d:35130 

Sato, Moto-Hiko see Giga, Yoshikazu, 92k:35121 

Shen, Zhong Wei see Brown, Russell M., 92b:35075 

Skvortsov, M. Yu. see Vishik, M. I., 92k:35122 








with time-dep 
coefficients. 92b:35021 

Plotnikov, V.I. see Kuzenkov, O. A., 92i:35026 

Primicerio, Mario see Fazano, A.; et al., 92k:35293 

Radkevich, E. V. The Gibbs-Thompson correction and conditions for the existence of a 
classical solution of the modified Stefan problem. (Russian) 92k:35299 

— see also Fazano, A.; et al., 92k:35293 

Radyno, Ya. V. (withDinh Phi Bong) A free boundary problem for a second-order 
equation of parabolic type. (Russian) 92m:35283 

Reitich, Fernando see Friedman, Avner, 92¢:35125 

Rizk, Tony A. see Bownds, John M., 92m:35201 

Roach, Gary F. see Banasiak, Jacek, 92f:35011 

Rundell, William see Cannon, John R., 92g:35227 

Savateev, E.G. see Belov, Yu. Ya., 92h:35236 

Saxena, Praveen M. see Saxena, V. P.; et al. 

Saxena, V. P. (with Pardasani, K. R.; Saxena, Praveen M.) Exact solutions to temperature 
distribution problems in spherical tissue layers. 

Schmidt-Lainé, Claudine see Brauner, Claude-Michel; et al., 92k:35031 

Seidman, Thomas I. see Jensen, Soren S.; et al., (92b:65009) 

Shishkin, G.I. Difference approximation of singularly perturbed parabolic equations that 
are degenerate on the boundary. (Russian) 92i:65158 

Tautenhahn, Ulrich Parameter identification in parabolic equations. (see 91f:65004) 

Ton, Bai An On the classical solution of a single phase Stefan type problem for parabolic 
equations in planar domains with intersecting fixed and free boundaries. (Italian 
summary) 92c¢:35128 

Venni, Alberto see Dore, Giovanni, 92i:47092 

Vespri, Vincenzo Abstract quasilinear parabolic equations with variable domains. 
92h:34124 

White, Luther W. see Gutman, Semion, 92g:35228 

Wa, Qi Guang (with Li, JiChun) Numerical methods for parabolic equation with a small 
parameter in time variable. (Chinese. English summary) 92g:65095 

Xu, Cheng Long An inverse problem for parabolic equations. (Chinese. English summary) 
92b:35173 

Yang, Dan Ping Mathematical theory and error estimates of boundary integral equation 
method for linear parabolic equations. 92¢:65142 

Ye, Qi Xiao (with Li, Zheng Yuan) * Fanying kuosan fangcheng yinlun. (Chinese) 
[Introduction to reaction-diffusion equations] 92i:35067 

Yin, Hong Ming Global solvability for some parabolic inverse problems. 92m:35276 


35K22 Evolution equations (any order in the spatial derivatives) 
[see also 58D25] 


Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Nonconvex perturbations of 
evolution equations with m-dissipative operators in Banach spaces. 92h:35093 

Bertsch, Michiel Nonlinear evolution equations as models in physics and applied sciences. 
(see 92m:35004) 

Boffi, V.C. Nonlinear evolution problems in extended kinetic theory. 92m:35113 


Sobolevskii, P. E. see Lezhenina, I. F., 92j:35081 

Sohr, Hermann see Giga, Yoshikazu, 92m:35114 

Sokolov, V. V. see Svinolupov, S. I., 92d:35129 

Steinriick, H. The one-dimensional Wigner-Poisson problem and its relation to the 
Schrédinger-Poisson problem. 92h:35094 

Svinolupov, S. I. (with Sokolov, V. V.) Weak nonlocalities in evolution equations. (Russian) 
924d:35129 

Tamizhmani, K.M. (with Sahadevan, R.; Lakshmanan, M.) Painlevé property and Lie- 
Backlund symmetries of a class of coupled nonlinear evolution equations. 924:35130 

Vishik, M. 1. (with Skvortsov, M. Yu.) Asymptotic behavior of elements of attractors 
corresponding to singularly perturbed parabolic equations. (Russian) 92k:35122 

Wilhelmsson, H. see Jancel, R., 92d:35126 





Items with secondary classifications in 35K22 

Anikonov, Yu. E. Formulas in multidimensional inverse problems for evolution equations. 
(Russian) 92b:35167 

Antoniou, Ioannis E. (with Misra, Baidyanath) Nonunitary transformation of conservative 
to dissipative evolutions. 924:35018 

Babin, A. V. (with Vishik, M. I.) * AtTrpakTopbI 9BO710NHOHHBIX ypaBHenui. (Russian) 
[Attractors of evolution equations] 92f:58101 

— (with Vishik, M. 1.) Uniform finite-parameter asymptotics of solutions of nonlinear 
evolution equations. 92j:35016 

Balashov, L. A. (with Dreizin, Yu. A.; Mel/nikov, M. S.) Relative proximity of functions, 
and Laplace transforms. (Russian) 92a:44001 

Botsenyuk, A. N. (with Pankov, A. A.) The method of fractional steps generated by the 
splitting of the phase space. (Russian) 92¢e:34079 

Byszewski, Ludwik Theorems about the existence and uniqueness of solutions of a 
semilinear evolution nonlocal Cauchy problem. 92m:35005 

Calogero, F. Why are certain nonlinear PDEs both widely applicable and integrable? 
92£:35001 

Cooke, Charlie H. (with McMorran, Andrew G.) Asymptotic factorization of evolution 
equations which involve linear operators. 92b:65077 

Debussche, Arnaud (with Temam, Roger) Inertial manifolds and slow manifolds. 
92£:58161 

Demiralp, Metin (with Rabitz, Herschel) Factorization of certain evolution operators using 
Lie algebra: formulation of the method. 92e:58036a 

— (with Rabitz, Herschel) Factorization of certain evolution operators using Lie algebra: 
convergence theorems. 92e:58036b 

Dold, J. W. see Kapila, A. K., (92b:00035) 

Dreizin, Yu. A. see Balashov, L. A.; et al., 92a:44001 

Eckmann, Jean-Pierre (with Wayne, C. E.) Propagating fronts and the center manifold 
theorem. 92e:58198 

Gerdt, V. P. (with Zharkov, A. Yu.) * AnropHTMbI HCCieqOBaHHA HHTerpupyeMocTH 
KBa3HJIMHHHBIX 9BOJIIONMOHHBIX CHCTEM C HEBbIPOKACHHOH riaBHOK MaTpuuen. (Russian) 
[Algorithms for investigating the integrability of quasilinear evolution systems with a 
nonsingular principal matrix] 92£:58080 

(Grobbelaar-van Dalsen, Marié) see Erratum: “On B-evolution theory and dynamic boundary 
conditions on a portion of the boundary” 





589 1992 


Hu, Xing Biao New sets of symmetries for some nonlinear evolution equations. (Chinese. 
English summary) 92k:58241 

Itoh, Tatsuo On the existence and smoothness of invariant manifolds of semilinear 
evolution equations. 92a:58020 

Kandelaki, N. P. (with Lomtatidze, A.G.) Approximate solution of an evolution equation. 
(Russian) 92j:34116 

Kapila, A. K. (with Dold, J. W.) Evolution to detonation in a nonuniformly heated reactive 
medium. (see 92b:00035) 

Kinderlehrer, David (with Pedregal, Pablo) Weak convergence of integrands and the Young 
measure representation. 92m:49076 

Kolomiets, Yu. V. Averaging of evolution equations with perturbed coefficients. (Russian) 
92j:60075 

Kostova, T. V. (with Milner, Fabio) Nonlinear age-dependent population dynamics with 
constant size. 92h:92011 

Kurzhanskii, A. B. (with Sivergina, I. F.) Irreversible evolution systems: guaranteed 
estimation and regularization problems. (Russian) 92e:93027 

Letavin, M.1. Stability of evolution equations with a nonlinear first approximation. 
(Russian) 92k:47133 

Li, Cun Hua A class of semigroups generated by differential operators and solutions to 
initial value problems for evolution equations. (Chinese. English summary) 92k:47080 

(Li, Da Qian) see Qualitative aspects and applications of nonlinear evolution equations, 
92m:35004 

Lomtatidze, A. G. see Kandelaki, N. P., 92j:34116 

Ma, Wen Xiu Generators of vector fields and time dependent symmetries of evolution 
equations. 92i:58077 

Malovichko, V. A. Solvability of nonlocal boundary value problems for some systems of 
evolution differential equations. (Russian. Ukrainian summary) 92b:35101 

McMorran, Andrew G. see Cooke, Charlie H., 92b:65077 

Melnikov, M.S. see Balashov, L. A.; et al., 92a:44001 

Milner, Fabio see Kostova, T. V., 92h:92011 

Misra, Baidyanath see Antoniou, Ioannis E., 92d:35018 

(de Mottoni, Piero) see Qualitative aspects and applications of nonlinear evolution equations, 
92m:35004 

Okochi, Hiroko An invitation to the anti-periodic problem. 92¢:34080 

Pankov, A. A. see Botsenyuk, A. N., 92e:34079 

Pedregal, Pablo see Kinderlehrer, David, 92m:49076 

Rabitz, Herschel see Demiralp, Metin, 92e:58036a and 92¢e:58036b 

Sivergina, I. F. see Kurzhanskii, A. B., 92e:93027 

Taboada, Mario Approximate inertial manifolds for parabolic evolutionary equations via 
Yosida approximations. 92m:34146 

Tanaka, Naoki Linear evolution equations in Banach spaces. 92m:34136 

Temam, Roger see Debussche, Arnaud, 92f:58161 

Vishik, M.1. see Babin, A. V., 92f:58101 and 92j:35016 

Wallace, D. I. (with Wolf, Joseph A.) Observability of evolution equations for invariant 
differential operators. 92m:35108 

Wayne, C. E. see Eckmann, Jean-Pierre, 92e:58198 

Wolf, Joseph A. see Wallace, D. I., 92m:35108 

Zharkov, A. Yu. see Gerdt, V. P., 92f:58080 


Items listed otherwise than by author 
Erratum: 
“On B-evolution theory and dynamic boundary conditions on a portion of the boundary” 
Erratum: “On B-evolution theory and dynamic boundary conditions on a portion 
of the boundary” [Appl. Anal. 40 (1991), no. 2-3, 151-172; MR 91k:35248] by M. 
Grobbelaar-van Dalsen. 
Qualitative aspects and applications of nonlinear evolution equations * Qualitative aspects 
and applications of nonlinear evolution equations. 92m:35004 
School: 
Qualitative Aspects and Applications of Nonlinear Evolution Equations * Qualitative 
aspects and applications of nonlinear evolution equations. 92m:35004 
Trieste * Qualitative aspects and applications of nonlinear evolution equations. 
92m:35004 


35K25 General theory of higher-order, parabolic equations 


Amato, Roberto A fundamental estimate and an inequality of Caccioppoli’s type for 
nonlinear parabolic systems of higher order. 92i:35062 

Bagirov, L. A. On the regularity of generalized solutions of a higher-order parabolic 
equation. (Russian) 92d:35131 

Kozlov, Vladimir Arkad’evich Asymptotics of the Green function and Poisson kernels of 
a mixed parabolic problem in a cone. II. (Russian. English and German summaries) 
92m:35116 

Novick-Cohen, A. (with Peletier, L. A.) The steady states of one-dimensional Sivashinsky 
equations. 92a:35076 

Peletier, L. A. see Novick-Cohen, A., 92a:35076 

Sheveleva, V.N. A problem of contact heat conduction. (Russian) 


Items with secondary classifications in 35K25 

Belleni-Morante, Aldo (with Totaro, Silvia) A mathematical model for human body 
temperature. 92f:92017 

Brzeiniak, Zdzislaw Asymptotic behaviour as t — oo of solutions to nonlinear evolution 
equations. (Russian summary) 92b:47109 

Fraguela Collar, Andrés Sufficient conditions for not almost periodicity of solutions of the 
S. L. Sobolev equation. (Russian) 

Giuga, S. Feedback solution of a control problem for a parabolic operator of order 2m. 
92b:49066 

Kamynin, V. L. Estimates for the convergence rate of solutions of parabolic equations with 
weakly converging coefficients. (Russian) 924:65175 

Pedersen, Michael Pseudodifferential perturbations and stabilization of distributed 
parameter systems: Dirichlet feedback control problems. 92b:93071 


35K Parabolic equations and systems 


35K40 


Racke, Reinhard (with Zheng, Song Mu) Global existence of solutions to a fully nonlinear 
fourth-order parabolic equation in exterior domains. 92k:35135a 

— (with Zheng, Song Mu) Erratum: “Global existence of solutions to a fully nonlinear 
fourth-order parabolic equation in exterior domains”. 92k:35135b 

Totaro, Silvia see Belleni-Morante, Aldo, 92f:92017 

Wei, Dongming Existence, uniqueness, and numerical analysis of solutions of a quasilinear 
parabolic problem. 92m:65156 

Yin, Jing Xue Finite speed of propagation of solutions for some quasilinear higher order 
parabolic equations with doubly strong degeneration. 92h:35115 

Zheng, Song Mu see Racke, Reinhard, 92k:35135a and 92k:35135b 


35K30 Initial value problems for higher-order, parabolic 
equations 


Atakhodzhaev, M. A. (with Egamberdiev, O. M.) The Cauchy problem for an abstract 
bicaloric equation. (Russian) 92¢:35055 

Denisov, V. N. Stabilization of the solution of the Cauchy problem for the iterated heat 
equation. (Russian) 92k:35123 

Egamberdiev, O. M. see Atakhodzhaev, M. A., 92c:35055 

Odinokov, O. V. On the theory of the well-posedness of the Cauchy problem in a complex 
domain. (Russian) 92j:35082 


Items with secondary classifications in 35K30 


Bernis, Francisco (with Peletier, L. A.; Williams, S.M.) Source type solutions of a fourth 
order nonlinear degenerate parabolic equation. 92k:35162 

Gorodetskii, V. V. (with Zhitaryuk, I. V.) On the rate of localization of solutions of the 
Cauchy problem for equations of parabolic type with degeneration. (Russian) 92c:35067 

Peletier, L. A. see Bernis, Francisco; et al., 92k:35162 

Williams, S. M. see Bernis, Francisco; et al., 92k:35162 

Zhitaryuk, I. V. see Gorodetskii, V. V., 92c:35067 


35K35 Boundary value problems for higher-order, parabolic 
equations 


Asadova, O. G. Solution of a mixed problem for a parabolic equation that contains powers 
of the Laplace operator in the principal part. (Russian) 924:35132 

Baderko, E. A. A parabolic boundary value problem in a domain of simple form. (Russian) 
92h:35095 

Baranski, Feliks (with Musialek, Jan) Bicaloric problem for the strip with Lauricella 
boundary conditions. 92b:35076 

— (with Musialek, Jan) The limit problem for the parabolic equation of the fourth order. 
(Polish summary) 92f:35078 

Byszewski, Ludwik On quasilinear m-iterated problems of parabolic type in an unbounded 
cylindrical domain contained in R"*!. (Polish summary) (see 92c:00013) 

Fardigola, L. V. A criterion for well-posedness in a layer of a boundary value problem with 
an integral condition. (Russian. Ukrainian summary) 92¢:35056 

— T-stability for an integral boundary-value problem in a layer. 

Huang, Fa Lun A note on linear parabolic equations in Hilbert spaces. 92m:35117 

Lyashko, S. I. Approximate solution of equations of pseudoparabolic type. (Russian) 

Milewski, Jan The limit problem for certain parabolic equation of fifth order. (Polish 
summary) (see 92c:00013) 

Musiatek, Jan see Baratiski, Feliks, 92b:35076 and 92:35078 

Polubinskii, A.S. Boundary regimes with peaking for a biparabolic equation. (Russian) (see 
92d:00021) 

Pyrchla, Zbigniew The limit problems for the bicaloric equations and for cylindrical 
domains. (Polish summary) (see 92c:00013) 

— The limit problems for the bicaloric equations. (Polish summary) (see 92c:00013) 

— The limit problems for factorised biparabolic equation. (Polish summary) (see 92c:00013) 

Yin, Jing Xue The compensated compactness method applied to quasilinear parabolic 
equations of higher order with doubly strong degeneration. 92k:35124 


Items with secondary classifications in 35K35 


Shmuley, I. I. Some well-posed problems for finding periodic solutions of evolution 
equations. (Russian) 92i:34087 


35K40 General theory of parabolic systems of PDE 


Bondarev, B. V. Averaging in parabolic systems subject to weakly dependent random 
perturbations. The L;-approach. (Russian. Ukrainian summary) 924:35133 

— Averaging in parabolic systems that are subject to weakly dependent random actions. The 
L>-approach. (Russian. Ukrainian summary) 92e:35080 

Campanato, Sergio Nonvariational basic parabolic systems of second order. (Italian 
summary) 92g:35085 

Donato, Andrea (with Palumbo, Annunziata) Approximate invariant solutions to 
dissipative systems. (see 92k:35002) 

Gershtein, L. M. (with Sil/chenko, Yu. T.; Sobolevskii, P. E.) Semigroup approaches to the 
investigation of problems in thermoelasticity. (Russian) 92a:35077 

Grabarska, Halina The approximation of solutions of the Fourier problem of the first kind 
for systems of parabolic equations. 92j:35083 

Heinrichs, Wilhelm EinschlieBungs gen bei Sy semilinearer parabolischer 
Differentialgleichungen. (Czech summary) [Inclusion statements for systems of 
semilinear parabolic differential equations] 92g:35086 

Hu, Yue Ming see Liao, Xiao Xin; et al., 92h:35096 

Kuzenkov, O. A. (with Plotnikov, V. 1.) The Fourier method for vector equations of 
parabolic type. (Russian) 92m:35118 

Levenshtam, V. B. Asymptotic integration of a convection problem. (Russian) 92e:35081 

Liao, Xiao Xin (with Hu, Yue Ming; Xiao, Hui Min) The stability of a class of large scale 
systems described by partial differential equations. (Chinese summary) 92h:35096 

Palumbo, Annunziata see Donato, Andrea, (92k:35002) 








35K40 


Plotnikov, V.I. see Kuzenkov, O. A., 92m:35118 

Sil’chenko, Yu. T. see Gershtein, L. M.; et al., 92a:35077 

Sobolev, V. A. Nonlocal integral manifolds and decoupling of nonlinear parabolic systems 
[in Global analysis and nonlinear equations (Russian), 152-158, Voronezh. Gos. Univ., 
Voronezh, 1988; MR 91c:35064]. (see 92b:58001) 

Sobolevskii, P.E. see Gershtein, L. M.; et al., 92a:35077 

Taraborkin, L.A. A problem with mixed evolution conjugation conditions for a semilinear 
parabolic system of equations. (Russian) 924:35134 

Xiao, Hui Min see Liao, Xiao Xin; et al., 92h:35096 

Xie, Sheng Li see Zhang, Zu Fa; et al. 

Zhang, Zu Fa (with Xie, Sheng Li) Sector stability of the steady state of the Lotka-Volterra 
diffusion model with continuous time-delays. (Chinese. English summary) 


Items with secondary classifications in 35K40 

Bebernes, J. (with Lacey, A. A.) Finite time blowup for semilinear reactive-diffusive 
systems. 92m:35128 

Brown, Russell M. (with Shen, Zhong Wei) A note on L? estimates for parabolic systems in 
Lipschitz cylinders. (see 92m:00047) 

Chen, Yun Mei Evolution problems of harmonic maps in higher dimensions. (see 
92m:35004) 

Da Prato, Giuseppe (with Lunardi, Alessandra) Floquet exponents and stabilizability in 
time-periodic parabolic systems. 92e:35032 

Dvoryaninov, S. V. Approximate periodic solutions of autonomous singularly perturbed 
parabolic systems. (Russian) (see 92d:35003) 

Eizenberg, Alexander (with Freidlin, M.) Partial differential systems with a small parameter 
and diffusion process with a discrete component. 92j:35010 

Fraile Peléez, José Maria see Sabina, José C., 92k:35161 

Freidlin, M. see Eizenberg, Alexander, 92j:35010 

Gerdt, V. P. (with Zharkov, A. Yu.) * AnropHTMbI HccyleqoBaHHA HHTerpupyeMocTH 
KBa3HJIMHCMHBIX SBOJIOUHOHHBIX CHCTEM C HEBbIPOKJeCHHOK rnaBHOK MaTpuek. (Russian) 
[Algorithms for investigating the integrability of quasilinear evolution systems with a 
nonsiagular principal matrix] 92f:58080 

Hu, Xing Biao New sets of symmetries for some nonlinear evolution equations. (Chinese. 
English summary) 92k:58241 

Kedyk, T. V. Invariant manifolds of hybrid quasimonotone extensions. (Russian. English 
summary) 92m:34105 

Khaidarov, A. Stability estimates in inverse problems for hyperbolic equations. (Russian) 
92h:35240 

King, John Robert (with Meere, M. G.; Rogers, T. G.) Asymptotic analysis of a nonlinear 
model for substitutional diffusion in semiconductors. 

Krzywicki, A. (with Nadzieja, T.) A nonstationary problem in the theory of electrolytes. 
92k:35272 

Lacey, A. A. see Bebernes, J., 92m:35128 

Lojczyk-Krélikiewicz, Irena The unbounded solutions to systems of differential-functional 
inequalities of parabolic type. (Polish summary) 92g:35248 

Lunardi, Alessandra see Da Prato, Giuseppe, 92e:35032 

Majchrowski, Marian (with Rogulski, Jan) An inverse problem for a parabolic system of 
partial differential equations. 92g:35234 

Malyutin, V. B. Approximate calculation of path integrals with respect to measure generated 
by a system of differential equations of parabolic type. (Russian. English summary) 
92c:65029 

Meere, M. G. see King, John Robert; et al. 

Nadzieja, T. see Krzywicki, A., 92k:35272 

Nambu, Takao Stabilization of parabolic systems via a degenerate nonnegative feedback. 
925:93103 

Rogers, T. G. see King, John Robert; et al. 

Rogulski, Jan see Majchrowski, Marian, 92g:35234 

Sabina, José C. (with Fraile Pelaez, José Maria) Wave analysis of a nonstationary gas- 
transport model. (Spanish) 92k:35161 

Shen, Zhong Wei see Brown, Russell M., (92m:00047) 

Shobukhov, A. V. Branching off of spatially inhomogeneous periodic solutions from limit 
cycles of autonomous systems of ordinary differential equations perturbed by small 
diffusion terms. 92f:35027 

Umbetzhanov, D. U. Almost periodic solutions of systems of equations of parabolic and 
elliptic types. (Russian. Kazakh summary) 92i:35010 

Voller, R. L. Solving Volterra-Lotka systems with diffusion by monotone iteration. 
92h:92014 

Wiegner, Michael Global solutions to a class of strongly coupled parabolic systems. 
92m:35136 

Xu, Hai Xiang Existence and blow-up of global weak solutions to systems of hyperlinear 
evolution equations. (Chinese. English summary) 92k:35179 

Yang, Zhi Ping Conditions of coexistence and stability of a predator-prey system. (Chinese 
summary) 92k:92025 

Zharkov, A. Yu. see Gerdt, V. P., 92f:58080 


35K45 Initial value problems for pararabolic systems 


Gorodetskii, V. V. (with Zhitaryuk, I. V.) The Cauchy problem for a class of parabolic 
systems with a Bessel operator in spaces of generalized functions. (Russian. English 
summary) 92m:35119 

Li, Jun Jie* Initial value problems for a family of degenerate quasilinear parabolic systems 
of equations. (Chinese. English summary) 92k:35125 

Liu, Wen Xiong A parabolic system arising in film development. 92a:35078 

Lu, Yun Guang Existence and asymptotic behavior of solutions to inhomogeneous equations 
of elasticity with little viscosity. 92e:35082 

Safarov, D. Kh. An initial value problem for a multidimensional nonclassical system. 
(Russian. Tajiki summary) 

Zhitaryuk, I. V. see Gorodetskii, V. V., 92m:35119 


PARTIAL DIFFERENTIAL EQUATIONS 


Items with secondary classifications in 35K45 


Belopol’skaya, Ya. I. Second-order parabolic equations in principal fibre bundles and 
associated vector bundles [in Topological and geometric methods of analysis (Russian), 
29-42, Voronezh. Gos. Univ., Voronezh, 1989; MR 91e:58209]. (see 92b:58001) 

Byszewski, Ludwik Theorems about the existence and uniqueness of solutions of a 
semilinear evolution nonlocal Cauchy problem. 92m:35005 

Churbanov, V. V. The generalized maximum principle for semilinear parabolic systems. 
(Russian) 92e:35038 

Epstein, E. see Fang, Wei Fu; et al., 92i:76093 

Fang, Wei Fu (with Shillor, Meir; Stahel, E.; Epstein, E.; Ly, C.; McNiel, J.; Zaron, E.) A 
mathematical model for outgassing and contamination. 92i:76093 

Ly, C. see Fang, Wei Fu; et al., 92i:76093 

McNiel, J. see Fang, Wei Fu; et al., 92i:76093 

Reznitskaya, K.G. A two-dimensional problem concerning a source. The linearized case. 
(Russian) 92f:35145 

Shillor, Meir see Fang, Wei Fu; et al., 92i:76093 

Stahel, E. see Fang, Wei Fu; et al., 92i:76093 

Vitali, Enrico An L?-estimate for a class of quasilinear parabolic systems. (Italian. English 
summary) 924:35050 

Zaron, E. see Fang, Wei Fu; et al., 92i:76093 


35K50 Boundary value problems for parabolic systems 


Cimatti, Giovanni A nonlinear parabolic system. (Italian summary) 924:35135 

Kirane, Mokhtar On stabilization of solutions of the system of parabolic differential 
equations describing the kinetics of an autocatalytic reversible chemical reaction. 
92e:35083 

Mamedov, N. M. A mixed problem for some parabolic systems with mixed boundary 
conditions that contain derivatives that are higher-order with respect to time. (Russian) 
92a:35079 

— (with Salimova, G. A.) Solution of a mixed problem for a system of heat and mass 
exchange equations. (Russian) (see 91k:35003) 

Morgan, J.J. Global existence for semilinear parabolic systems on one-dimensional 
bounded domains. 92f:35079 

Salimova, G. A. see Mamedov, N. M., (91k:35003) 

Showalter, R. E. (with Walkington, Noel J.) Diffusion of fluid in a fissured medium with 
microstructure. 92j:35084 

Walkington, Noel J. see Showalter, R. E., 92j:35084 

Yotsutani, Shoji Chemical interfacial reaction models with radial symmetry. (see 
92m:35003) 


Items with secondary classifications in 35K50 


Amann, Herbert Highly degenerate quasilinear parabolic systems. 92m:35145 

— Global existence for a class of highly degenerate parabolic systems. 92:35090 

Baratiski, Feliks (with Pieniazek, Alicja) The nonlinear problem for a system of parabolic 
equations. (Polish summary) (see 92c:00013) 

Chen, Zhi Min A remark on flow invariance for semilinear parabolic equations. 92j:34121 

Chow, Chen Yu (with Wu, Jun) * A method of determining boundary position for a double 
porosity medium system. 924:35295 

Chrzanowski, Eugeniusz On some problems for the system of diffusion equations with 
overspecified boundary data. 92a:35116 

Churbanov, V. V. The generalized maximum principle for semilinear parabolic systems. 
(Russian) 92e:35038 

Dal Passo, Roberta (with de Mottoni, Piero; Schatzman, Michelle) On a superdegenerate 
parabolic system. 92c:35066 

Engler, Hans (with Kawohl, Bernhard; Luckhaus, Stephan) Gradient estimates for 
solutions of parabolic equations and systems. 92b:35082 

Fan, Guangwei (with Leung, Anthony W.) Existence and stability of periodic solutions for 
competing species diffusion systems with Dirichlet boundary conditions. 92b:35018 

Fitzgibbon, William E. (with Morgan, J. J.; Sanders, R. S.; Waggoner, S. J.) Estimates for 
spatio porally dependent reaction diffusion systems. 92h:35104 

Kaliaskarova, T. R. Ill-posedness of a class of boundary value problems for second-order 
parabolic systems. (Russian. English and Kazakh summaries) 92g:35221 

Kawohl, Bernhard see Engler, Hans; et al., 92b:35082 

Leung, Anthony W. see Fan, Guangwei, 92b:35018 

Luckhaus, Stephan see Engler, Hans; et al., 92b:35082 

Martin, R. H., Jr. (with Pierre, Michel) Nonlinear reaction-diffusion systems. 92k:35148 

Morgan, J.J. see Fitzgibbon, William E.; et al., 92h:35104 

de Mottoni, Piero see Dal Passo, Roberta; et al., 92c:35066 

Ni, Ming Kang Periodic solution to a kind of singularly perturbed differential equations of 
parabolic type in chemical kinetics. (Chinese. English summary) 92i:35009 

Pieniazek, Alicja see Baratiski, Feliks, (92c:00013) 

Pierre, Michel see Martin, R. H., Jr., 92k:35148 

Sanders, R.S. see Fitzgibbon, William E.; et al., 92h:35104 

Schatzman, Michelle see Dal Passo, Roberta; et al., 92¢:35066 

Sprekels, Jiirgen (with Zheng, Song Mu) Optimal control problems for a thermodynami- 
cally consistent model of phase-field type for phase transitions. 92m:35033 

Sztander, Wanda Existence and uniqueness of solutions of a certain system of parabolic 
nonhomogeneous equations in an area with free boundary. 92h:35247 

Waggoner, S. J. see Fitzgibbon, William E.; et al., 92h:35104 

Wu, Jun see Chow, Chen Yu, 92d:35295 

Xu, Hai Xiang The blow-up property of initial-boundary value problems for variational flow 
systems of equations. (Chinese. English summary) 92m:35018 

Zheng, Song Mu see Sprekels, Jiirgen, 92m:35033 





35K55 Nonlinear PDE of parabolic type 


Abdullaev, U.G. Peaking regimes in problems for a quasilinear heat-mass transfer equation 
with convection. (Russian) 92¢:35057 
Acquistapace, P. (with Terreni, B.) Fully nonlinear parabolic systems. 92a:35080 





591 1992 


Aikawa, Hiroaki (with Hayashi, Nakao) Holomorphic solutions of semilinear heat 
equations. 92e:35084 

Alt, Hans Wilhelm (with Pawiow, Irena) A mathematical model and an existence theory for 
nonisothermal phase separation. 92f:35080 

Amerov, T. K. Conditional invariance of the nonlinear heat equation. (Russian) (see 
92b:35011) 

Andreucci, Daniele (with DiBenedetto, E.) A new approach to initial traces in nonlinear 
filtration. (French summary) 9 

Antontsev, S. N. (with Shmarév, S. I.) Localization of solutions of nonlinear parabolic 
equations with linear sources of general form. (Russian) 924:35136 

— (with Shmarév, S. 1.) A local energy method and vanishing of weak solutions of nonlinear 
parabolic equations. (Russian) 92g:35087 

Barles, G. (with Souganidis, Panagiotis E.) Convergence of approximation schemes for 
fully nonlinear second order equations. 924:35137 

Bertsch, Michiel (with Dal Passo, Roberta) A parabolic equation with a mean-curvature 
type operator. (see 92m:35003) 

Bian, Bao Jun see Dong, Guang Chang; et al., 92e:35086 

Blanchard, Dominique (with Francfort, G. A.) A few results on a class of degenerate 
parabolic equations. 92j:35085 

Bouillet, Julio E. Hyperbolic properties of solutions of some parabolic equations. (Spanish) 
924:35138 

Busenberg, Stavros N. (with Fang, Wei Fu; Shillor, Meir) Analysis of a diffusion-convection 
system modeling a contamination problem. 92a:35081 

Cannon, John R. (with Yin, Hong Ming) On a class of nonlinear parabolic equations with 
nonlinear trace type functionals. 92a:35082 

Chen, Shi Ming Uniqueness and stability of solutions to the Cauchy problem for a class of 
higher-dimensional semilinear heat-conduction equations. (Chinese. English summary) 

Chen, Zhi Min Long time small solutions to nonlinear parabolic equations. 92¢:35085 

Chipot, Michel (with Kersner, Robert) On a critical threshold for nonlinear diffusion 
equations. 92k:35126 

Christov, K. see Todorova, Grozdena, 92h:35100 

Collet, Pierre Amplitude analysis of the Swift-Hohenberg equation. 924:35139 

Dal Passo, Roberta see Bertsch, Michiel, (92m:35003) 

Danilov, V.G. (with Subochev, P. Yu.) Interaction of kinks in the KPP-Fisher equation. 
(Russian) 

— (with Subochev, P. Yu.) Wave solutions of semilinear parabolic equations. (Russian. 
English summary) 92k:35127 

DiBenedetto, E. (with Herrero, Miguel A.) Nonnegative solutions of the evolution p- 
Laplacian equation. Initial traces and Cauchy problem when | < p < 2. 92g:35088 

— see also Andreucci, Daniele, 92g:35089 

Diotko, Tomasz Local solvability of semilinear parabolic equations. 92j:35086 

Dong, Guang Chang (with Bian, Bao Jun) Uniqueness of viscosity solutions of fully 
nonlinear second order parabolic PDEs. 92e:35086 

Escobedo, Miguel (with Zuazua, Enrike) Large time behavior for convection-diffusion 
equations in R". 92i:35063 

Evans, L. C. (with Spruck, Joel) Motion of level sets by mean curvature. I. 92h:35097 

Fang, Wei Fu see Busenberg, Stavros N.; et al., 92a:35081 

Fattorusso, Luisa A differentiability result for nonlinear parabolic systems under mono- 
tonicity conditions. (Italian. English summary) 92f:35081 

Francfort, G. A. see Blanchard, Dominique, 92j:35085 

Fushchich, V.I. (with Serov, N. 1.) Conditional invariance and reduction of a nonlinear 
heat equation. (Russian. English summary) 92a:35083 

Galaktionov, V. A. (with Posashkov, S. A.) Ignition conditions for combustion for the 
nonlinear heat equation with a source. (Russian. English summary) 924:35140 

— Monotonicity in time at the single point for the semilinear heat equation with source. 
925:35087 

— (with Posashkov, S. A.) Single point blow-up for N-dimensional quasilinear equations 
with gradient diffusion and source. 92h:35098 

— (with Vazquez, Juan Luis) Asymptotic behaviour of nonlinear parabolic equations with 
critical exponents. A dynamical systems approach. 92k:35128 

— (with Posashkov, S. A.) Any large solution of a nonlinear heat conduction equation 
becomes monotonic in time. 924:35141 

— (with Posashkov, S. A.) Monotonicity in time and stationary solutions for the quasilinear 
heat equation with source. 92k:35129 

— Best possible upper bound for blowup solutions of the quasilinear heat conduction 
equation with source. 92d:35142 

— Monotonicity in time outside the initial support for a quasilinear heat equation. 
92m:35120 

— (with Herrero, Miguel A.; Velazquez, Juan J. L.) The structure of solutions near an 
extinction point in a semilinear heat equation with strong absorption: a formal approach. 
(see 92m:35003) 

— see also Velazquez, Juan J. L.; et al., 92d:35151 

Gao, Ce Li Existence and uniqueness of global solutions to exterior problems for a class of 
nonlinear parabolic equations. (Chinese. English summary) 92g:35090 

Gardner, Robert Alan (with Jones, Christopher K. R. T.) Stability of one-dimensional 
waves in weak and singular limits. 92k:35130 

Gatabon, V.D. A boundary value problem for a third-order quasilinear equation. (Russian) 
(see 92d:35008) 

Gladkov, A. L. On the solvability of the Cauchy problem with an initial function that 
arbitrarily increases at infinity for some degenerate quasilinear parabolic equations. 
(Russian) 92a:35084 

Grenon, Nathalie Résultats d’existence pour des équations paraboliques quasilinéaires. 
(English summary) [Existence results for some quasilinear parabolic equations] 
924:35143 

Guan, Bo (with Spruck, Joel) Interior gradient estimates for solutions of prescribed 
curvature equations of parabolic type. 92k:35131 

Gum, T. see Tam, K. Kuen 

Guo, Bai Chang Necessary and sufficient conditions for classical solutions to a class of 
nonlinear parabolic equations. (Chinese) 92i:35064 

Guo, Ben Yu (with Rogers, Colin; Siegel, David) Application to [of] maximum principles to 





35K Parabolic equations and systems 


35K55 


h A 





y value prob in nonlinear heat conduction. 92e:35087 

Guzev, M. A. (with Klyatskin, V. I.) Approximation of the parabolic equation and the 
wavefield of a point source in a layered random medium. 92i:35065 

Hayashi, Nakao see Aikawa, Hiroaki, 92e:35084 

Hayasida, Kazuya On a backward estimate of solutions of the porous media equation. 
924:35144 

Herrero, Miguel A. see Velazquez, Juan J. L.; et al., 92d:35151; DiBenedetto, E., 92g:35088 
and Galaktionov, V. A.; et al., (92m:35003) 

Hill, Desmond L. see Hill, James M., 92¢:35088 

Hill, James M. (with Hill, Desmond L.) On the derivation of first integrals for similarity 
solutions. 92e:35088 

Hulshof, Josephus Similarity solutions of the porous medium equation with sign changes. 
92£:35082 

Imai, Takashi (with Mochizuki, Kiyoshi; Suzuki, Ryuichi) On blow-up sets for the 
parabolic equation 0,8(u) = Au + f(u) ina ball. 924:35145 

Jones, Christopher K. R. T. see Gardner, Robert Alan, 92k:35130 

Kalashnikov, A.S. Diffusion of mixtures in the presence of long-range action. (Russian) 
92b:35077 

Keller, Joseph B. Diffusively coupled dynamical systems. 92k:35132 

Kersner, Robert see Chipot, Michel, 92k:35126 

King, John Robert Integral results for nonlinear diffusion equations. 92d:35146 

— Exact solutions to a nonlinear diffusion equation. 924:35147 

Kitada, Akihiko (with Umehara, Hiroyuki) A rapid proof for a flattening property of a 
classical solution of the Mullins equation. 92e:35089 

Kloutek, P. see Netas, Jindtich, 92h:35099 

Klyatskin, V. I. see Guzev, M. A., 92i:35065 

Kutev, Nikolai D. Global solvability and boundary gradient blow up for one-dimensional 
parabolic equations. (see 92m:35004) 

Lacey, A. A. (with Wake, G.C.) Critical initial conditions for spatially-distributed thermal 
explosions. 92k:35133 

Lair, Alan V. Uniqueness for the Cauchy problem for nonlinear parabolic equations and 
inequalities. 92d:35148 

Lee, Tzong-Yow (with Ni, Wei-Ming) Global existence, large time behavior and life span of 
solutions of a semilinear parabolic Cauchy problem. 92k:35134 

Levenshtam, V. B. Exponential dichotomy and the averaging method for parabolic 
equations with rapidly oscillating principal part. (Russian) 92i:35066 

Liu, Wen Xiong Singular solutions for a convection diffusion equation with absorption. 
92m:35121 

Lunardi, Alessandra On a class of fully nonlinear parabolic equations. 92c:35058 

Malyshev, Igor On some perturbation techniques for quasi-linear parabolic equations. 
92d:35149 

Mochizuki, Kiyoshi see Imai, Takashi; et al., 92d:35145 

Netas, Jindfich (with Klouéek, P.) The solution of transonic flow problems by the method 
of stabilization. 92h:35099 

Ni, Wei-Ming see Lee, Tzong-Yow, 92k:35134 

de Pablo, Arturo (with Vazquez, Juan Luis) Regularity of solutions and interfaces of a 
generalized porous medium equation in R”. 92g:35091 

Pawiow, Irena see Alt, Hans Wilhelm, 92f:35080 

Posashkov, S. A. see Galaktionov, V. A., 92d:35140; 92d:35141; 92h:35098 and 92k:35129 

Quittner, Pavol Blow-up for semilinear parabolic equations with a gradient term. 92g:35092 

Racke, Reinhard (with Zheng, Song Mu) Global existence of solutions to a fully nonlinear 
fourth-order parabolic equation in exterior domains. 92k:35135a 

— (with Zheng, Song Mu) Erratum: “Global existence of solutions to a fully nonlinear 
fourth-order parabolic equation in exterior domains”. 92k:35135b 

Razzhevaikin, V. N. Finite stability for an equation of inhomogeneous diffusion with a 
nonlinear source (on modeling population space dynamics). (Russian) 92b:35078 

Rocha, Carlos Properties of the attractor of a scalar parabolic PDE. 92m:35122 

Rodriguez, Ana (with Vazquez, Juan Luis) Maximal solutions of singular diffusion 
equations with general initial data. (see 92m:35003) 

Rogers, Colin see Guo, Ben Yu; et al., 92e:35087 

Romanov, A. V. Conditions for asymptotic k-dimensionality of semilinear parabolic 
equations. (Russian) 92e:35090 

Rubanovskii, V. N. (with Sergeev, V. S.) Stationary solutions of a nonlinear diffusion 
problem. (Russian) 92d:35150 

Rudykh, G. A. (with Semenov, E. I.) Application of Liouville equation to construction of 
special exact solutions for the quasilinear heat equation. (see 92i:34003) 

Sacks, Paul E. Limiting behavior of solutions of u, = Au” as m — co. 92£:35083 

Schierwagen, Andreas see Villmann, Thomas, 92j:35088 

Schroeder, Gary H. L?(R”) bounds on the solution of u, — Ap(u) = f for 1 < p < co. 
92m:35123 

Semenov, E. I. see Rudykh, G. A., (92i:34003) 

Sergeev, V.S. see Rubanovskii, V. N., 92d:35150 

Serov, N. 1. Conditional invariance and exact solutions of a nonlinear heat equation. 
(Russian. Ukrainian summary) 92a:35085 

— see also Fushchich, V. 1., 92a:35083 

Shelukhin, V. V. A problem with time-average data for nonlinear parabolic equations. 
(Russian) 92g:35093 

Shillor, Meir see Busenberg, Stavros N.; et al., 92a:35081 

Shmarév, S. I. see Antontsev, S. N., 92d:35136 and 92g:35087 

Siegel, David see Guo, Ben Yu; et al., 92e:35087 

Slemrod, Marshall Dynamics of measure valued solutions to a backward-forward heat 
equation. 92m:35124 

Souganidis, Panagiotis E. see Barles, G., 924:35137 

Spruck, Joel see Evans, L. C., 92h:35097 and Guan, Bo, 92k:35131 

Subochev, P. Yu. see Danilov, V. G., 92k:35127 

Suzuki, Ryuichi On blow-up sets and asymptotic behavior of interfaces of one-dimensional 
quasilinear degenerate parabolic equations. 92m:35125 

— see also Imai, Takashi; et al., 92d:35145 

Tam, K. Kuen (with Gum, T.) An aspect of unstable solution of a nonlinear heat equation. 

Terreni, B. see Acquistapace, P., 92a:35080 





35K55 


Todorova, Grozdena (with Christov, K.) Existence of solutions of semilinear parabolic 
equations with Hélder nonlinear boundary data. 92h:35100 

Umehara, Hiroyuki see Kitada, Akihiko, 92e:35089 

Vazquez, Juan Luis see de Pablo, Arturo, 92g:35091; Galaktionov, V. A., 92k:35128 and 
Rodriguez, Ana, (92m:35003) 

Velazquez, Juan J.L. (with Galaktionov, V. A.; Herrero, Miguel A.) The space structure 
near a blow-up point for semilinear heat equations: a formal approach. (Russian 
summary) 924:35151 

— see also Galaktionov, V. A.; et al., (92m:35003) 

Vespri, Vincenzo On the local behaviour of solutions of certain singular parabolic equations. 
92k:35136 

Villmann, Thomas (with Schierwagen, Andreas) The symmetries of a nerve conduction 
equation. 92j:35088 

Wake, G.C. see Lacey, A. A., 92k:35133 

Wang, Jun Yu A boundary value problem for a nonlinear ordinary differential equation 
involving a small parameter—the Riemann problem for a generalized diffusion equation. 
92¢:35059 

Wang, Lihe On the regularity theory of fully nonlinear parabolic equations. I. 92m:35126 

— On the regularity theory of fully nonlinear parabolic equations. II. 92m:35127 

Weinberger, Hans F. Long-time behavior for a regularized scalar conservation law in the 
absence of genuine nonlinearity. (French summary) 92k:35137 

Yin, Hong Ming see Cannon, John R., 92a:35082 

You, Yun Xiang Blow-up of solutions to quasilinear parabolic equations. (Chinese. English 
summary) 

Zheng, Song Mu see Racke, Reinhard, 92k:35135a and 92k:35135b 

Zuazma, Enrike see Escobedo, Miguel, 92i:35063 


Items with secondary classifications in 35K55 


Ahmad, Shair (with Lazer, Alan C.) An elementary approach to traveling front solutions to 
a system of N competition-diffusion equations. 92c:35060 

Akhromeeva, T.S. (with Malinetskii, G. G.; Potapov, A. B.; Tsertsvadze, G. Z.) New 
properties of quasiperiodic solutions of the Kuramoto-Tsuzuki equation. (Russian) 
92m:35247 

Alikakos, Nicholas D. (with Bates, Peter W.; Fusco, Giorgio) Slow motion for the Cahn- 
Hilliard equation in one space dimension. 92a:35152 

Anderson, Jeffrey R. Local existence and uniqueness of solutions of degenerate parabolic 
equations. 92d:35163 

Baizhanova, K.S. (with Razzhevaikin, V.N.) Traveling waves in a population problem with 
degenerate diffusion. (Russian) 92b:92030 

Bandle, Catherine (with Pozio, Maria Assunta) On a class of nonlinear Neumann problems. 
92£:35063 

Banks, H. T. (with Reich, Simeon; Rosen, I. G.) Galerkin approximation for inverse 
problems for nonautonomous nonlinear distributed systems. 92i:65102 

Bates, Peter W. see Alikakos, Nicholas D.; et al., 92a:35152 

Belov, Yu. Ya. An inverse problem for a semilinear parabolic equation. (Russian) 92f:35142 

Blanchard, Dominique (with Ghidouche, Hamid) A nonlinear system for irreversible phase 
changes. 92g:80007 

Brauner, Claude-Michel (with Lunardi, Alessandra; Schmidt-Lainé, Claudine) Stabilité et 
instabilité des ondes stationnaires d’un probléme de détonation a deux phases. (English 
summary) [Stability and instability of travelling waves in a two-phase detonation 
problem] 92f:80014 

Brunovsky, Pavol (with Tere3cak, Ignac) Regularity of invariant manifolds. 92j:58095 

Byszewski, Ludwik Strong maximum and minimum principles for parabolic problems with 
nonlocal inequalities. 92¢:35025 

Cannarsa, Piermarco (with Da Prato, Giuseppe) The vanishing viscosity method in infinite 
dimensions. (Italian summary) 92i:49046 

— (with Da Prato, Giuseppe) Second-order Hamilton-Jacobi equations in infinite 
dimensions. 92b:49052 

Cannon, John R. (with DuChateau, Paul; Steube, Ken) Identifying a time dependent 
unknown coefficient in a nonlinear heat equation. (see 92m:35003) 

Caycedo, J. F. see Ortega, L. A., 92e:35029 

Chauvin, B. (with Rouault, Alain) Supercritical branching Brownian motion and K-P-P 
equation in the critical speed-area. 92m:60075 

Chen, Pei-Li Asymptotic behavior and steady state solutions of a myelinated axon model 
with FitzHugh-Nagumo dynamics. 92b:92012 

Choe, Hi Jun Hélder regularity for the gradient of solutions of certain singular parabolic 
systems. 92m:35038 

Chow, Bennett The Ricci flow on the 2-sphere. 92d:53036 

— On the entropy estimate for the Ricci flow on compact 2-orbifolds. 92¢e:58228 

Chow, Pao Liu Stochastic analysis and quasilinear parabolic equations. 92a:35022 

Chow, Shui-Nee (with Dunninger, D. R.; Miklavéit, Milan) Galerkin approximations for 
singular linear elliptic and semilinear parabolic problems. 92:65133 

Clément, Philippe P. (with Da Prato, Giuseppe) Some results on nonlinear heat equations 
for materials of fading memory type. 92a:45031 

Cole, Julian D. Scale factors in similarity solutions. 92g:35010 

Cortdzar, Carmen (with Elgueta, Manuel; Vazquez, Juan Luis) Diffusivity determination in 
nonlinear diffusion. 92g:76076 

Craig, Walter (with Kappeler, Thomas; Strauss, Walter Alexander) Infinite gain of 
regularity for dispersive evolution equations. (see 92c:35002) 

Da Prato, Giuseppe see Clément, Philippe P., 92a:45031; Cannarsa, Piermarco, 92b:49052 
and 92i:49046 

DiBenedetto, E. Local regularity and extinction free boundary for a singular parabolic 
equation. 92b:35175 

— (with Kwong, Ying C.) Harnack estimates and extinction profile for weak solutions of 
certain singular parabolic equations. 92f:35033 

Doedel, Eusebius J. see Friedman, Mark J., 92e:34058 

DuChateau, Paul see Cannon, John R.; et al., (92m:35003) 

Dunninger, D. R. see Chow, Shui-Nee; et al., 92f:65133 

Dziuk, Gerhard (with Kawohl, Bernhard) On rotationally symmetric mean curvature flow. 
92h:53011 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 592 


Ecker, Klaus (with Huisken, Gerhard) Interior estimates for hypersurfaces moving by mean 
curvature. 92i:53010 

Elgueta, Manuel see Cortazar, Carmen; et al., 92g:76076 

Engl, Heinz W. (with Langthaler, Thomas) Control of the solidification front by secondary 
cooling in continuous casting of steel. (see 92b:00026) 

Epperson, James F. Semigroup linearization for nonlinear parabolic equations. 92a:65264 

Escobedo, Miguel (with Zuazua, Enrike) Comportement asymptotique des solutions 
d’une équation de convection-diffusion. (English summary) [Asymptotic behavior of the 
solutions of a convection-diffusion equation] 92d:35046 

— (with Zuazua, Enrike) Self-similar solutions for a convection-diffusion equation with 
absorption in R’. 92k:35090 

Evans, L.C. (with Spruck, Joel) Motion of level sets by mean curvature. II. 92f:58050 

Farag, M. Kh. A numerical solution to a nonlinear problem of the identification of the 
characteristics of a mathematical model of heat exchange. (Russian) 92c:65077 

Feireisl, Eduard A note on uniqueness for parabolic problems with discontinuous nonlinear- 
ities. 92d:35319 

Friedman, Mark J. (with Doedel, Eusebius J.) Numerical computation and continuation of 
invariant manifolds connecting fixed points. 92¢:34058 

Frigon, Marlene (with Saccon, Claudio) Heat equations with discontinuous nonlinearities 
on convex and nonconvex constraints. 92k:35167 

Fusco, Giorgio see Alikakos, Nicholas D.; et al., 92a:35152 

Galaktionov, V. A. (with Posashkov, S. A.) Erratum: “Any large solution of a nonlinear heat 
equation with a source becomes monotonic in time” [Akad. Nauk SSSR Inst. Prikl. Mat. 
Preprint 1989, no. 109; MR 91k:35015]. (Russian) 92e:35020 

— On blow-up sets for the quasilinear heat equation with a source. (Russian. English 
summary) 92h:35009 

— On a blow-up set for a nonlinear equation of diffusion and combustion. (Russian) 
92h:35113 

Gardner, Robert Alan (with Jones, Christopher K. R. T.) Traveling waves of a perturbed 
diffusion equation arising in a phase field model. 924:35039 

— (with Jones, Christopher K. R. T.) Stability of travelling wave solutions of diffusive 
predator-prey systems. 92a:92004 

Ghidaglia, Jean-Michel (with Marzocchi, A.) Exact decay estimates for solutions to 
semilinear parabolic equations. 92d:35047 

Ghidouche, Hamid see Blanchard, Dominique, 92g:80007 

Hayes, C. K. A new traveling-wave solution of Fisher’s equation with density-dependent 
diffusivity. 92d:92002 

Hernandez, Gastén E. (with Roussos, Ioannis M.) The Hélder exponent for radially 
symmetric solutions of porous medium type equations. 92g:35037 

— Anticrowding population models in several space variables. 92c:92022 

Hill, Desmond L. (with Hill, James M.) Utilization of nonlinear diffusion solutions for n- 
diffusion and power-law materials. 92m:76134 

Hill, James M. see Hill, Desmond L., 92m:76134 

Huisken, Gerhard see Ecker, Klaus, 92i:53010 

Inoue, Masaaki Derivation of a porous medium equation from many Markovian particles 
and the propagation of chaos. 92c:60124 

Ivanauskas, Feliksas The splitting method for solving systems of nonlinear evolution 
equations. (Russian. English and Lithuanian summaries) 92b:65078 

Jager, Willi (with Katur, Jozef) Solution of porous medium type systems by linear 
approximation schemes. 92j:76092 

— (with Katur, Jozef) Solutions of porous medium type systems. 92j:76093 

Jarusek, Jiri On the regularity of solutions of a thermoelastic system under noncontinuous 
heating regimes. (Czech summary) 92a:73009 

Jiménez, Rail F. Nonlinear evolution problems on manifolds without boundary. (Por- 
tuguese summary) 92k:35309 

Jones, Christopher K. R. T. see Gardner, Robert Alan, 92a:92004 and 924:35039 

Katur, Jozef see Jager, Willi, 92j:76092 and 92j:76093 

Kamynin, V. L. Asymptotic behavior of solutions of the Cauchy problem for parabolic 
equations of nondivergence type. (Russian) 92i:35019 

Kappeler, Thomas see Craig, Walter; et al., (92c:35002) 

Kawohl, Bernhard see Dziuk, Gerhard, 92h:53011 

Keller, Joseph B. (with Rubinstein, Jacob) Nonlinear wave motion in a strong potential. 
92b:35097 

Kikyo, Yoko M.G. Asymptotic behavior of semilinear partial differential equations of 
parabolic type. 92¢:35034 

Kuiper, Hendrik J. On boundedness and stability of solutions to quasilinear parabolic 
equations with nonlocal nonlinearities. 92j:35014 

Kuo, Chung Shéng On the semilinear elliptic equation Aw — $y - Vw + Aw — w-* =Oin 
R". 92j:35051 

Kwong, Ying C. see DiBenedetto, E., 92£:35033 

Langthaler, Thomas see Engl, Heinz W., (92b:00026) 

Lazer, Alan C. see Ahmad, Shair, 92c:35060 

Leszezytiski, Henryk General finite difference approximation to the Cauchy problem for 
nonlinear parabolic differential-functional equations. 92¢:35166 

Li, Jia Yu? Gradient estimates and Harnack inequalities for nonlinear parabolic and 
nonlinear elliptic equations on Riemannian manifolds. 92k:58257 

Lieberman, Gary M. On the Hélder gradient estimate for solutions of nonlinear elliptic and 
parabolic oblique boundary value problems. 92c:35024 

Lin, Zhi Gui The diffraction problem and Verigin problem of quasilinear parabolic equation 
in divergence form for the one-dimensional case. 92m:35221 

Lunardi, Alessandra see Brauner, Claude-Michel; et al., 92f:80014 

Magenes, E. Numerical approximation of nonlinear evolution problems. 92f:65096 

Malinetskii, G.G. see Akhromeeva, T. S.; et al., 92m:35247 

Manthey, Ralf Convergence of successive approximation for parabolic partial differential 
equations with additive white noise. 92a:35168 

Marzocchi, A. see Ghidaglia, Jean-Michel, 924:35047 

Mielke, Alexander Locally invariant manifolds for quasilinear parabolic equations. 
92i:58169 

Miklavéit, Milan see Chow, Shui-Nee; et al., 92f:65133 

Mitropol'skii, Yu. A. (with Shul’ga, M. V.) Approximate symmetry of the nonlinear heat 








1992 35K Parabolic equations and systems 


equation. (Russian. Ukrainian summary) 92g:35013 

Nefas, Jindtich (with Sverak, Viadimir) On regularity of solutions of nonlinear parabolic 
systems. 92d:35058 

Nieto, Juan J. Nonuniqueness for nonlinear problems. 92h:47092 

— Periodic-Neumann boundary value problem for nonlinear parabolic equations and 
application to an elliptic equation. 92e:35028 

Ortega, L. A. (with Caycedo, J. F.) Positive periodic solutions of a nonlinear parabolic 
eigenvalue problem. 92¢:35029 

Pilant, Michael (with Rundell, William) A method for identifying nonlinear terms in 
parabolic initial-boundary value problems. 92b:35170 

Posashkov, S. A. see Galaktionov, V. A., 92e:35020 

Potapov, A. B. see Akhromeeva, T. S.; et al., 92m:35247 

Pozio, Maria Assunta see Bandle, Catherine, 92f:35063 

Qian, Bao Kang The asymptotic behavior of solutions to a class of nonlinear parabolic 
equations. (Chinese. English summary) 

— The asymptotic behavior of solutions to a class of quasilinear parabolic equations. 
(Chinese. English summary) 

Rakotoson, Jean-Michel A compactness result for quasilinear problems: application to 
parabolic equations with measures as data. 92¢:35117a 

Ramirez, W. Fred see Zgurovskii, M. Z., 92g:93090 

Razzhevaikin, V. N. see Baizhanova, K. S., 92b:92030 

Reich, Simeon see Banks, H. T.; et al., 92i:65102 

Rey, Olivier Heat flow for the equation of surfaces with prescribed mean curvature. 
92k:58263 

Rosen, I. G. see Banks, H. T.; et al., 92i:65102 

Rouault, Alain see Chauvin, B., 92m:60075 

Roussos, Ioannis M. see Hernandez, Gastén E., 92g:35037 

Rubinstein, Jacob see Keller, Joseph B., 92b:35097 

Rudykh, G. A. (with Semenov, E. I.) Commutational representations and Backlund trans- 
formations for the one-dimensional nonlinear equation of evolution. (see 92m:49004) 

Ruess, W. M. Asymptotic behavior of solutions to the abstract Cauchy problem. (see 
92m:00055) 

Rundell, William see Pilant, Michael, 92b:35170 

Saccon, Claudio see Frigon, Marlene, 92k:35167 

Schmidt-Lainé, Claudine see Brauner, Claude-Michel; et al., 92f:80014 

Semenov, E.1I. see Rudykh, G. A., (92m:49004) 

Shen, Wei Xi Threshold phenomena for the system of equations for transmission of nerve 
impulses. (Chinese. English summary) 92c¢:92009 

Shul’ga, M. V. see Mitropol'skii, Yu. A., 92g:35013 

Sobolev, V. A. Nonlocal integral manifolds and decoupling of nonlinear parabolic systems 
[in Global analysis and nonlinear equations (Russian), 152-158, Voronezh. Gos. Univ., 
Voronezh, 1988; MR 91c:35064]. (see 92b:58001) 

Spruck, Joel see Evans, L. C., 92f:58050 

Steube, Ken see Cannon, John R.; et al., (92m:35003) 

Strauss, Walter Alexander see Craig, Walter; et al., (92c:35002) 

Struwe, Michael The evolution of harmonic maps: existence, partial regularity, and 
singularities. (see 92m:35003) 

Sverak, Vladimir see Netas, Jindtich, 92d:35058 

Tarzia, Domingo Alberto Exponential asymptotic behavior in a porous-medium equation 
with absorption. (Spanish. English summary) 92b:35180 

Teres’tak, Igndc see Brunovsky, Pavol, 92j:58095 

Tsertsvadze, G. Z. see Akhromeeva, T. S.; et al., 92m:35247 

Tso, Kaising Convex hypersurfaces with prescribed Gauss-Kronecker curvature. 92j:53029 

Urbas, John I. E. On the expansion of starshaped hypersurfaces by symmetric functions of 
their principal curvatures. 92¢:53037 

Vazquez, Juan Luis see Cortézar, Carmen; et al., 92g:76076 

Vitali, Enrico An L?-estimate for a class of quasilinear parabolic systems. (Italian. English 
summary) 924d:35050 

Vyborny, Rudolf The Hadamard three-circles theorems for nonlinear equations. 924:35054 

Winiarska, Teresa Nonlinear evolution equation with a parameter. (Russian summary) 
92j:47142 

Wu, Lang-Fang The Ricci flow on 2-orbifolds with positive curvature. 92d:53037 

Xiang, Xiao Ling (with Yang, Zheng Pin) Semilinear parabolic problem with deviation 
argument in the time variable. (Chinese summary) 924:35291 

Xu, Xiang Sheng Application of nonlinear semigroup theory to a system of PDEs governing 
diffusion processes in a heterogeneous medium. 92j:47143 

Yang, Shi Xin see Zhuang, Qiong Shan; et al., 92b:35084 

Yang, Zheng Pin see Xiang, Xiao Ling; et al., 924:35291 

Yin, Jing Xue The compensated compactness method applied to quasilinear parabolic 
equations of higher order with doubly strong degeneration. 92k:35124 

Zgurovskii, M. Z. (with Ramirez, W. Fred) Estimating the states and parameters of 
stochastic distributed processes that develop in different temporal domains. (Russian. 
English summary) 92g:93090 

Zhao, Jun Ning Source-type solutions of degenerate quasilinear parabolic equations. 
92m:35149 

Zhuang, Qiong Shan (with Yang, Shi Xin) Nonlinear boundary value problems for 
nonlinear degenerate parabolic systems of equations. (Chinese. English summary) 
92b:35084 

Zuazua, Enrike see Escobedo, Miguel, 924:35046 and 92k:35090 





35K57 Reaction-diffusion equations 


Ahmad, Shair (with Lazer, Alan C.) An elementary approach to traveling front solutions to 
a system of N competition-diffusion equations. 92c:35060 

Alekseev, A. A. (with Kudryashov, N. A.) Nonabelian pseudopotentials and conservation 
laws of reaction-diffusion equations. 92h:35101 

Amann, Herbert Hopf bifurcation in quasilinear reaction-diffusion systems. 92h:35102 

Avrin, Joel D. Qualitative theory of the Cauchy problem for a one-step reaction model on 
bounded domains. 92h:35103 


35K57 


Bebernes, J. (with Bressan, A., Jr.) Blowup for some reactive-Euler induction models. 
92a:35086 

— (with Lacey, A. A.) Finite time blowup for semilinear reactive-diffusive systems. 
92m:35128 

Bokolishvili, I. B. (with Kashchenko, S. A.; Malinetskii, G. G.; Potapov, A. B.) Complex 
ordering and stochastic oscillations in some reaction-diffusion systems. (see 92i:65009) 

Bonilla, Luis L. (with Higuera, Francisco J.; Vega, J. M.) Stability of stationary solutions of 
extended reaction-diffusion-convection equations on a finite segment. 92e:35091 

Borzi, Carlos (with Wio, Horacio) Pattern formation in reaction-diffusion systems with 
finite geometry. 92; 

Bressan, A., Jr. see Bebernes, J., 92a:35086 

Britton, N. F. An integral for a reaction-diffusion system. 92a:35087 

Carvalho, Alexandre N. (with Hale, Jack K.) Large diffusion with dispersion. 92k:35138 

Chen, Jian Li see Liang, Jian Hua; et al., 92b:35080 

Chen, Xinfu Generation and propagation of interfaces for reaction-diffusion equations. 
92m:35129 

Chen, Zhen Tao A class of Volterra reaction-diffusion equations. (Chinese. English 
summary) 92m:35130 

Chen, Zhi Xiong (with Guo, Ben Yu) Analytic solutions of the Nagumo equation. 
92k:35139 

Cohen de Lara, Michel A note on the symmetry group and perturbation algebra of a 
parabolic partial differential equation. 92g:35095 

Cortazar, Carmen (with Elgueta, Manuel) Unstability of the steady solution of a nonlinear 
reaction-diffusion equation. 92k:35140 

Deng, Bo The existence of infinitely many traveling front and back waves in the FitzHugh- 
Nagumo equations. 92k:35141 

Di Liddo, Andrea (with Maddalena, Lucia) Mathematical analysis of a chemical reaction 
with lumped temperature and strong absorption. 92k:35142 

Dold, J. W. On asymptotic forms of reactive-diffusive runaway. 92d:35152 

Duan, Li Li see Liang, Jian Hua; et al., 92b:35080 

Elgueta, Manuel see Cortazar, Carmen, 92k:35140 

Fitzgibbon, William E. (with Morgan, J. J.; Sanders, R. S.; Waggoner, S. J.) Estimates for 
spatio-temporally dependent reaction diffusion systems. 92h:35104 

Gandarias-Niiiiez, M. L. (with Ramirez-Labrador, J.; Pérez Cuéllar, A.) A group- 
classification problem for a reaction-diffusion equation. (Spanish. English summary) (see 
92b:00044) 

— see also Pérez Cuéllar, A.; et al., (92b:00044) 

Gardner, Robert Alan Stability and Hopf bifurcation of steady state solutions of a singularly 
perturbed reaction-diffusion system. 92k:35143 

Gilding, Brian H. (with Kersner, Robert) Diffusion-convection-réaction, frontiéres libres 
et une équation intégrale. (English summary) [Diffusion-convection-reaction, free 
boundaries and an integral equation] 92k:35144 

Grindrod, Peter * Patterns and waves. 92k:35145 

— (with Lewis, M. A.; Murray, J.D.) A geometrical approach to wave-type solutions of 
excitable reaction-diffusion systems. 924:35153 

Grundy, R. E. The asymptotics of extinction in nonlinear diffusion reaction equations. 
92k:35146 

Guo, Ben Yu see Chen, Zhi Xiong, 92k:35139 

Hadeler, K. P. Traveling fronts in parabolic and hyperbolic equations. 92g:35096 

Hale, Jack K. see Carvalho, Alexandre N., 92k:35138 

Hetzer, Georg (with Schmidt, Paul Ginter) A global attractor and stationary solutions for a 
reaction-diffusion system arising from climate modeling. 92a:35088 

Higuera, Francisco J. see Bonilla, Luis L.; et al., 92e:35091 

Huang, Jian Jun The triangular matrix method for ion-diffusion 
English summary) 92m:35131 

Jimbo, Shuichi see Morita, Yoshihisa, 92m:35134 

Kanel’, Ya. I. The existence of a solution of traveling wave type for the Belousov- 
Zhabotinskii system of equations. II. (Russian) 92m:35132 

Karma, Alain Universal limit of spiral wave propagation in excitable media. 92a:35089 

Kashchenko, S. A. see Bokolishvili, I. B.; et al., (92i1:65009) 

Kazarinoff, Nicholas D. (with Yan, Joseph G. G.) Spatially periodic steady-state solutions 
of a reversible system at strong and subharmonic resonances. 92b:35079 

Kersner, Robert see Gilding, Brian H., 92k:35144 

Kirane, Mokhtar (with Youkana, A.) A reaction-diffusion system modelling the post 
irradiation oxidation of an isotactic polypropylene. 92c:35061 

Kudryashov, N. A. see Alekseev, A. A., 92h:35101 

Lacey, A. A. see Bebernes, J., 92m:35128 

Lazer, Alan C. see Ahmad, Shair, 92c:35060 

Levine, Howard A. A Fujita type global existence-global nonexistence theorem for a weakly 
coupled system of reaction-diffusion equations. 92g:35097 

Lewis, M. A. see Grindrod, Peter; et al., 92d:35153 

Li, Zheng Yuan (with Ye, Qi Xiao) Travelling wave front solutions for reaction-diffusion 
systems. 92h:35105 

— The existence of travelling wave front solutions for reaction-diffusion system. 92j:35089 

— see also Ye, Qi Xiao; et al., 92i:35067 

Liang, Jian Hua (with Chen, Jian Li; Duan, Li Li) Definite conditions and asymptotic 
solution of one nonlinear partial differential equation in morphogenesis. 92b:35080 

Liang, Jin On the semiconductor system. 92m:35133 

Lu, Kening A Hartman-Grobman theorem for scalar reaction-diffusion equations. 
92k:35147 

Maddalena, Lucia see Di Liddo, Andrea, 92k:35142 

Makin, R.S. Boundedness of the domain of attraction of a stationary solution of a 
nonlinear diffusion system of the equations of the dynamics of a controllable reactor. 
(Russian) 92j:35090 

Malfliet, W. Series solution of nonlinear coupled reaction-diffusion equations. 92g:35098 

Malinetskii, G.G. see Bokolishvili, I. B.; et al., (92i:65009) 

Martin, R. H., Jr. (with Pierre, Michel) Nonlinear reaction-diffusion systems. 92k:35148 

Mimura, Masayasu Wave propagation and its failure in bistable reaction-diffusion systems. 
924:35154 

Mo, Jia Qi A class of singularly perturbed nonlinear reaction diffusion integral-differential 








. (Chinese. 





35K57 


equation. (see 92a:00039) 

— Singular perturbation of initial-boundary value problems for a class of reaction diffusion 
systems. (Chinese. English summary) 92h:35106 

Morgan, J.J. see Fitzgibbon, William E.; et al., 92h:35104 

Morita, Yoshihisa (with Jimbo, Shuichi) Ordinary differential equations (ODEs) on inertial 
manifolds for reaction-diffusion systems in a singularly perturbed domain with several 
thin channels. 92m:35134 

de Mottoni, Piero (with Schatzman, Michelle) Development of interfaces in R". 92e:35092 

Murray, J.D. see Grindrod, Peter; et al., 924:35153 

Nishiura, Yasumasa Singular limit approach to stability and bifurcation for bistable 
reaction diffusion systems. 92h:35107 

de Pablo, Arturo (with Vazquez, Juan Luis) Travelling waves and finite propagation in a 
reaction-diffusion equation. 92h:35108 

Pan, Zhong Xiong (with Wang, Yi Fei) Numerical method for the system of reaction- 
diffusion equations with a small parameter. (Chinese. English summary) 92m:35135 

Papanicolaou, George C. (with Xin, Xue) Reaction-diffusion fronts in periodically layered 
media. 92g:35099 

Pérez Cuéllar, A. (with Gandarias-Niiiez, M. L.; Ramirez-Labrador, J.) An admissible 
Lie-Backlund group for a reaction-diffusion equation. (Spanish. English summary) (see 
92b:00044) 

— see also Gandarias-Niiiez, M. L.; et al., (92b:00044) 

Pierre, Michel see Martin, R. H., Jr., 92k:35148 

Potapov, A. B. see Bokolishvili, I. B.; et al., (921:65009) 

Ramirez-Labrador, J. see Gandarias-Nuiiez, M. L.; et al., (92b:00044) and Pérez Cuéllar, A.; 
et al., (92b:00044) 

Roy Choudhury, S. Painlevé analysis and partial integrability of a class of reaction-diffusion 
equations. 92k:35149 

Sanders, R.S. see Fitzgibbon, William E.; et al., 92h:35104 

Schatzman, Michelle see de Mottoni, Piero, 92e:35092 

Schmidt, Paul Ginter see Hetzer, Georg, 92a:35088 

So, Joseph Wai-Hung Inertial manifold for a reaction diffusion equation model of 
competition in a chemostat. 92g:35100 

Song, Kai Tai see Zhou, Li; et al., 92m:35137 

Takat, Peter Large-time behavior of a time-periodic cooperative system of reaction- 
diffusion equations depending on parameters. 92j:35091 

Tarzia, Domingo Alberto A variant of the heat balance integral method and a new proof of 
the exponentially fast asymptotic behavior of the solutions in heat conduction problems 
with absorption. 924:35155 

Vazquez, Juan Luis see de Pablo, Arturo, 92h:35108 

Vega, J. M. see Bonilla, Luis L.; et al., 92e:35091 

Waggoner, S. J. see Fitzgibbon, William E.; et al., 92h:35104 

Wang, Yi Fei see Pan, Zhong Xiong; et al., 92m:35135 

Wiegner, Michael Global solutions to a class of strongly coupled parabolic systems. 
92m:35136 

Wio, Horacio see Borzi, Carlos, 92g:35094 

Xin, Xue Existence and uniqueness of travelling waves in a reaction-diffusion equation with 
combustion nonlinearity. 92h:35109 

— Existence and stability of traveling waves in periodic media governed by a bistable 
nonlinearity. 92k:35150 

— see also Papanicolaou, George C., 92g:35099 

Yan, Joseph G. G. see Kazarinoff, Nicholas D., 92b:35079 

Yang, Shi Xin A monotone iteration method for a nonquasimonotone system of reaction- 
diffusion equations. (Chinese. English summary) 92j:35092 

Ye, Qi Xiao (with Li, Zheng Yuan) * Fanying kuosan fangcheng yinlun. (Chinese) 
[Introduction to reaction-diffusion equations] 92i:35067 

— see also Li, Zheng Yuan; et al., 92h:35105 

Youkana, A. see Kirane, Mokhtar, 92c:35061 

Zhou, Li (with Song, Kai Tai) The analysis of Hopf bifurcation for the prey-predator 
system with diffusion and delay. 92m:35137 


Items with secondary classifications in 35K57 

Abdullaev, U.G. Peaking regimes in problems for a quasilinear heat-mass transfer equation 
with convection. (Russian) 92¢:35057 

Alexander, James C. (with Gardner, Robert Alan; Jones, Christopher K. R. T.) A 
topological invariant arising in the stability analysis of travelling waves. 92d:58028 

Almirantis, Y. (with Kaufman, M.) Numerical study of travelling waves in a reaction- 
diffusion system: response to a spatiotemporal forcing. 

Arneodo, Alain see Elezgaray, J., 92c:80026 

Azmy, Y. Y. (with Protopopescu, V.) On the dynamics of a discrete reaction-diffusion 
system. 92k:58134 

Bagajewicz, Miguel J. see Marcos, Gladys; et al., 92f:80004 

Bernoff, Andrew J. Spiral wave solutions for reaction-diffusion equations in a fast 
reaction/slow diffusion limit. 92i:80013 

Bertsch, Michiel Nonlinear evolution equations as models in physics and applied sciences. 
(see 92m:35004) 

— (with Peletier, L. A.; Verduyn Lunel, S. M.) The effect of temperature dependent viscosity 
on shear flow of incompressible fluids. 92a:76036 

Brown, K. J. (with Hess, Peter) Positive periodic solutions of predator-prey reaction- 
diffusion systems. 92h:35015 

Buchnev, V. Yu. see Butuzov, V. F., 92g:35025 

Burnell, J.G. see Wake, G. C.; et al., 92b:80014 

Butuzov, V. F. (with Buchnev, V. Yu.) On the asymptotic behavior of the solution of a 
singularly perturbed two-dimensional problem of reaction-diffusion-transport type. 
(Russian) 92g:35025 

Capasso, V. Reaction-diffusion models for the spread of a class of infectious diseases. (see 
924:00033) 

Chen, Ning (with Lu, Zheng Yi) Global stability of periodic solutions to reaction-diffusion 
systems. (Chinese) 92i:35007 

Chou, Mo Hong Hopf bifurcation in a reaction-diffusion system governed by the FitzHugh- 
Nagumo equations. 92k:35030 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 594 


Chow, Shui-Nee (with Deng, Bo; Terman, David) The bifurcation of homoclinic orbits 
from two heteroclinic orbits—a topological approach. 92g:58093 

Davtyan, S. P. see Vol'pert, Vit. A.; et al., 92m:80018 

Deng, Bo see Chow, Shui-Nee; et al., 92g:58093 

Diotko, Tomasz Parabolic equation modelling diffusion with strong absorption. 92g:35103 

Dockery, Jack D. Numerical solution of travelling waves for reaction-diffusion equations 
via the sinc-Galerkin method. 92m:65119 

Eilbeck, J.C. (with Furter, J. E.) Understanding steady-state bifurcation diagrams for a 
model reaction-diffusion system. 92b:58157 

Elezgaray, J. (with Arneodo, Alain) Modeling reaction-diffusion pattern formation in the 
Couette flow reactor. 92c:80026 

Ermentrout, George Bard Stripes or spots? Nonlinear effects in bifurcation of reaction- 
diffusion equations on the square. 92g:92007 

Fife, Paul C. (with Geng, Xiao) Mathematical aspects of electrophoresis. 92e:35001 

Flandoli, Franco A stochastic reaction-diffusion equation with multiplicative noise. 
92d:35316 

Friedman, Avner (with Reitich, Fernando) Parameter identification in reaction-diffusion 
models. 92j:35186 

Furter, J. E. see Eilbeck, J. C., 92b:58157 

Galaktionov, V. A. see Vazquez, Juan Luis, 92a:35027 

Gardner, Robert Alan see Alexander, James C.; et al., 92d:58028 

Geng, Xiao see Fife, Paul C., 92e:35001 

Graham-Eagle, J.G. see Wake, G. C.; et al., 92b:80014 

Gray, Brian F. see Wake, G. C.; et al., 92b:80014 

Hagstrom, Thomas Asymptotic analysis of dissipative waves with applications to their 
numerical simulation. (see 92b:00035) 

Hale, Jack K. (with Raugel, Genevieve) Lower semicontinuity of the attractor for a 
singularly perturbed hyperbolic equation. 92g:58076 

— (with Raugel, Geneviéve) A damped hyperbolic equation on thin domains. 92g:58077 

Hernandez, Jesis Maximum principles and decoupling for positive solutions of reaction- 
diffusion systems. 92a:35001 

Hess, Peter * Periodic-parabolic boundary value problems and positivity. 92h:35001 

— see also Brown, K. J., 92h:35015 

Hetzer, Georg (with Schmidt, Paul Ginter) Branches of stationary solutions for parameter- 
dependent reaction-diffusion systems from climate modeling. 92k:86002 

Hilhorst, Danielle (with Nishiura, Yasumasa; Mimura, Masayasu) A free boundary 
problem arising in some reacting-diffusing system. 92k:35296 

Holodniok, M. (with Kubitek, M.; Marek, M.) Disintegration of an invariant torus in a 
reaction-diffusion system. (see 92e:65003) 

Hornung, Ulrich (with Jager, Willi) Diffusion, convection, adsorption, and reaction of 
chemicals in porous media. 92i:76095 

Ikeda, Hideo (with Mimura, Masayasu) Stability analysis of stationary solutions of bistable 
reaction-variable diffusion systems. 92k:35032 

Ioffe, Dimitri On some applicable versions of abstract large deviations theorems. 
92m:60026 

Jager, Willi see Hornung, Ulrich, 92i:76095 

Jones, Christopher K. R. T. see Alexander, James C.; et al., 92d:58028 

Kaufman, M. see Almirantis, Y. 

Keener, James P. (with Tyson, John J.) The dynamics of scroll waves in excitable media. 
92k:92010 

Kessler, David A. (with Levine, Herbert) Spiral selection as a free boundary problem. 
92£:92038 

Kirane, Mokhtar On stabilization of solutions of the system of parabolic differential 
equations describing the kinetics of an autocatalytic reversible chemical reaction. 
92e:35083 

— Global bounds for solutions for a strongly coupled system of reaction-diffusion equations. 
92a:35019 

Kokubu, Hiroshi (with Nishiura, Yasumasa; Oka, Hiroe) An application of hetero- and 
homoclinic bifurcations to bistable reaction diffusion systems. 92g:58115 

— (with Nishiura, Yasumasa; Oka, Hiroe) Heteroclinic and homoclinic bifurcations in 
bistable reaction diffusion systems. 92a:58128 

Kratsch, F. (with Roos, Hans-Gérg) Monotonieerhaltende upwind-Schemata im zweidi- 
mensionalen Fall. (English and Russian summaries) [Monotonicity-preserving upwind- 
schemes in the two-dimensional case] 92m:65134 

Kubiéek, M. see Holodniok, M.,; et al., (92e:65003) 

Lamb, Kevin G. see Majda, Andrew J., 92c:80019 

Levine, Herbert see Kessler, David A., 92f:92038 

Lu, Zheng Yi see Chen, Ning; et al., 92i:35007 

Majda, Andrew J. (with Lamb, Kevin G.) Simplified equations for low Mach number 
combustion with strong heat release. 92c:80019 

Marcos, Gladys (with Tailleur, Susana; Bagajewicz, Miguel J.) Analytical approximate 
solutions of certain nonlinear equations of reaction-diffusion kind. 92:80004 

Marek, M. see Holodniok, M.; et al., (92e:65003) 

Markus, Lawrence Generic heat diffusion is scalar controllable. 92¢:93017 

Martin, R. H., Jr. (with Smith, Hal L.) Reaction-diffusion systems with time delays: 
monotonicity, invariance, comparison and convergence. 92b:35162 

Megrabova, I. N. see Vol'pert, Vit. A.; et al., 92m:80018 

Mimura, Masayasu Pattern formation in reaction-diffusion systems. (see 92m:00054) 

— see also Ikeda, Hideo, 92k:35032 and Hilhorst, Danielle; et al., 92k:35296 

Mitchell, Andrew Ronald (with Murray, B. A.; Sleeman, B. D.) Numerical solution of 
Hamiltonian systems in reaction-diffusion by symplectic difference schemes. 92h:65139 

Murray, B. A. see Mitchell, Andrew Ronald; et al., 92h:65139 

Nishiura, Yasumasa see Kokubu, Hiroshi; et al., 92a:58128; 92g:58115 and Hilhorst, 
Danielle; et al., 92k:35296 

Oka, Hiroe see Kokubu, Hiroshi; et al., 92a:58128 and 92g:58115 

Ortega, L. A. On the Leung-Chen feedback model for nuclear fission. 92m:82156 

Peletier, L. A. see Bertsch, Michiel; et al., 92a:76036 

Peplow, A. T. see Stuart, A. M., 92j:65101 

Protopopescu, V. An example of a reaction-diffusion system with nonlinear competitive 
interactions. (see 92h:82112) 





595 1992 


— see also Azmy, Y. Y., 92k:58134 

Qin, Su Di see Tang, Shi Min; et al., 92g:65102 

Raugel, Genevieve see Hale, Jack K., 92g:58076 and 92g:58077 

Reitich, Fernando see Friedman, Avner, 92j:35186 

Roos, Hans-Giérg see Kratsch, F., 92m:65134 

Roy Choudhury, S. Painlevé analysis and special solutions of two families of reaction- 
diffusion equations. 92h:58204 

Schmidt, Paul Ginter see Hetzer, Georg, 92k:86002 

Shen, Jie Convergence of approximate attractors for a fully discrete system for reaction- 
diffusion equations. 924:65155 

Shen, Wei Xi Threshold behavior for second initial-boundary value problem of F-N 
equations. 92h:35025 

Sleeman, B. D. see Mitchell, Andrew Ronald; et al., 92h:65139 

Slemrod, Marshall Coagulation-diffusion systems: derivation and existence of solutions for 
the diffuse interface structure equations. 92b:82090 

Smith, Hal L. see Martin, R. H., Jr., 92b:35162 

Stuart, A. M. (with Peplow, A. T.) The dynamics of the theta method. 92j:65101 

Surkov, N. F. see Vol'pert, Vit. A.; et al., 92m:80018 

Tailleur, Susana see Marcos, Gladys; et al., 92f:80004 

Takaé, Peter Linearly stable subharmonic orbits in strongly monotone time-periodic 
dynamical systems. 92i:34056 

Tang, Shi Min (with Qin, Su Di; Weber, R.O.) Numerical solution of a nonlinear reaction- 
diffusion equation. (Chinese. English summary) 92g:65102 

Terman, David see Chow, Shui-Nee; et al., 92g:58093 

Tyson, John J. see Keener, James P., 92k:92010 

Vazquez, Juan Luis (with Galaktionov, V. A.) Asymptotic behavior of solutions of a 
nonlinear diffusion-absorption equation with a critical exponent. (Russian) 92a:35027 

Verduyn Lunel, S. M. see Bertsch, Michiel; et al., 92a:76036 

Vol’pert, Vit. A. (with Vol'pert, V1. A.; Davtyan, S. P.; Megrabova, I. N.; Surkov, N. F.) 
Two-dimensional combustion modes in condensed flow. 92m:80018 

Vol'pert, V1. A. see Vol'pert, Vit. A.; et al., 92m:80018 

Wake, G.C. (with Burnell, J. G.; Graham-Eagle, J. G.; Gray, Brian F.) A new scaling of a 
problem in combustion theory. 92b:80014 

Weber, R.O. see Tang, Shi Min; et al., 92g:65102 

Wei, Feng Coupled system of reaction-diffusion equations and applications in carrier 
facilitated diffusion. 92j:92009 


35K60 Nonlinear boundary value problems for linear parabolic 
PDE; boundary value problems for nonlinear parabolic 
PDE 


Alikakos, Nicholas D. (with McKinney, William R.) Remarks on the equilibrium theory for 
the Cahn-Hilliard equation in one space dimension. 92b:35081 

— (with Bates, Peter W.; Fusco, Giorgio) Slow motion manifolds for a class of singular 
perturbation problems: the linearized equations. 92i:35068 

Anita, Sebastian? Existence and uniqueness for the population dynamics with nonlinear 
diffusion. 92g:35101 

Atkinson, Colin (with Champion, C. R.) Some boundary-value problems for nonlinear (N) 
diffusion and pseudo-plastic flow. 92j:35093 

Baratiski, Feliks (with Koronski, Jan) The limit problem for quasilinear diffusion equation 
for m-dimensional cuboid with nonlinear boundary conditions. (Polish summary) (see 
92¢:00013) 

— (with Pieniazek, Alicja) The nonlinear problem for a system of parabolic equations. 
(Polish summary) (see 92c:00013) 

Bates, Peter W. see Alikakos, Nicholas D.; et al., 92i:35068 

Berkovich, L.M. Transformation of variables as a method for finding exact invariant 
solutions of the Kol Petrovskii-Piskunov equation and related nonlinear heat 
equations. (Russian) 

Borsch-Supan, Wolfgang (with Fiebig-Wittmaack, Melitta) Stability of stationary solutions 
of a one-dimensional parabolic equation with homogeneous Neumann boundary 
conditions. 92k:35151 

Brochet, D. (with Hilhorst, Danielle) Universal attractor and inertial sets for the phase field 
model. 92g:35102 

Byszewski, Ludwik Existence of a solution of a Fourier nonlocal quasilinear parabolic 
problem. 92k:35152 

— Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems. 

Caginalp, G. (with Nishiura, Yasumasa) The existence of travelling waves for phase field 
equations and convergence to sharp interface models in the singular limit. 92f:35084 

Cao, Zhen Chao (with Gu, Lian Kun) An integral type maximum principle for solutions 
to a class of fast diffusion equations and their blow-up on the region boundary. (Chinese. 
English summary) 92j:35094 

— Properties of solutions to a porous medium flow equation. (Chinese. English summary) 
92k:35153 

Champion, C. R. see Atkinson, Colin, 92j:35093 

Chan, Chiu Yeung (with Ke, Lan) Critical lengths for periodic solutions of semilinear 
parabolic systems. 92k:35154 

Chen, Yun Gang Blow-up solutions of a semilinear parabolic equation with the Neumann 
and Robin boundary conditions. 92m:35138 

Chipot, Michel (with Fila, Marek; Quittner, Pavol) Stationary solutions, blow up and 
convergence to stationary solutions for semilinear parabolic equations with nonlinear 
boundary conditions. 92h:35110 

Diotko, Tomasz Parabolic equation modelling diffusion with strong absorption. 92g:35103 

Dong, Guang Chang Viscosity solutions of the first boundary value problem for the second 
order fully nonlinear parabolic equation under natural structure conditions. 92f:35085 

Dorroh, J. R. (with Rieder, Gistle Ruiz) A singular quasilinear parabolic problem in one 
space dimension. 924:35156 

Du, Zhong Fu see Zhao, Jun Ning; et al., 92g:35110 

Elliott, Charles M. (with Mikelié, Andro) Existence for the Cahn-Hilliard phase separation 
model with a nondifferentiable energy. 92k:35155 





35K Parabolic equations and systems 


35K60 


Engler, Hans (with Kawohl, Bernhard; Luckhaus, Stephan) Gradient estimates for 
solutions of parabolic equations and systems. 92b:35082 

Escher, Joachim Some global existence and blow-up results for semilinear parabolic systems 
with nonlinear boundary conditions. (see 92m:47001) 

Fiebig-Wittmaack, Melitta see Borsch-Supan, Wolfgang, 92k:35151 

Fila, Marek (with Hulshof, Josephus) A note on the quenching rate. 92a:35090 

— see also Chipot, Michel; et al., 92h:35110 

Floater, M.S. Blow-up at the boundary for degenerate semilinear parabolic equations. 
92m:35139 

Fraile Peldez, José Maria see Sabina, José C., 92k:35161 

Friedman, Avner Blow-up of solutions of nonlinear heat and wave equations. (see 
92b:00035) 

Funaro, Daniele (with Kavian, Otared) Approximation of some diffusion evolution 
equations in unbounded domains by Hermite functions. 92k:35156 

Fusco, Giorgio see Alikakos, Nicholas D.; et al., 92i:35068 

Garroni, Maria Giovanna (with Vivaldi, M. A.) Quasilinear, parabolic, integro-differential 
problems with nonlinear oblique boundary conditions. 92e:35093 

Gianni, Roberto see Primicerio, Mario, 92c:35064 

Gopalsamy, Kondalsamy (with Weng, Pei Xuan) On the dynamics of a periodic delay 
logistic equation with diffusion. 92k:35157 

Gu, Lian Kun see Cao, Zhen Chao; et al., 92j:35094 

Herrero, Miguel A. (with Velazquez, Juan J. L.) Comportement générique au voisinage 
dun point d’explosion pour des solutions d’équations paraboliques unidimensionnelles. 
(English summary) [Generic blow-up behavior of solutions of one-dimensional semilinear 
parabolic problems] 92m:35140 

Hess, Peter Asymptotics in semilinear periodic diffusion equations with Dirichlet or Robin 
boundary conditions. 92m:35141 

Hilhorst, Danielle (with Hilhorst, H. J.) On a conjecture by Hagan and Brenner. (see 
92m:35003) 

— see also Brochet, D., 92g:35102 

Hilhorst, H. J. see Hilhorst, Danielle, (92m:35003) 

Horsin-Molinaro, Thierry Régularité 4 la frontiére pour l’évolution des surfaces 4 courbure 
moyenne prescrite. (English summary) [Boundary regularity for the evolution of surfaces 
with prescribed mean curvature] 92h:35111 

Hulshof, Josephus see Fila, Marek, 92a:35090 

Jarnicki, Marek (with Slawik, Lech) A note on blow-up points for a semilinear parabolic 
equation. 92j:35095 

Jiang, Li Shang see Zhang, Zhen Bu; et al., 92m:35143 

Kashchenko, S. A. Normalization in a neighborhood of a cycle of systems of parabolic 
equations with small diffusion. (Russian. Ukrainian summary) 92j:35096 

Kavian, Otared see Funaro, Daniele, 92k:35156 

Kawanago, Tadashi The behavior of solutions of quasi-linear heat equations. 92c:35062 

Kawohl, Bernhard Remarks on quenching, blow up and dead cores. (see 92m:35003) 

— see also Engler, Hans; et al., 92b:35082 

Ke, Lan see Chan, Chiu Yeung, 92k:35154 

Kikuchi, Norio A construction of a solution for 9u/8t = a(Au) (a € C'(—00, 00), a(0) = 
0, a’ > 0) with initial and boundary conditions of class C3+* (0 < a < 1). 92f:35086 

Kororski, Jan see Baratiski, Feliks, (92c:00013) 

Kuo, Chung Shéng On a quenching problem with the Robin boundary condition. 92k:35158 

— On the quenching rate estimate. 92j:35097 

Kurdyumov, S. P. (with Malinetskii, G. G.; Potapov, A. B.) An approximate study of 
symmetric localized structures. (Russian) 92g:35104 

Karta, V. V. On the behavior of solutions of second-order quasilinear parabolic equations in 
unbounded noncylindrical domains. (Russian. English summary) 92i:35069 

Laptev, G.I. Solvability of initial-boundary value problems for third-order quasilinear 
partial differential equations. (Russian) 92a:35091 

Lavrent'ev, M. M., Jr. A priori smoothness of solutions for a number of equations of 
variable type. (Russian. English summary) 92f:35087 

Lei, Ying Guo The third boundary value p for general one-dimensional filtration 
equation. (Chinese summary) 92k:35159 

Levine, Howard A. Advances in quenching. (see 92m:35003) 

Liang, Jin The one-dimensional quasilinear Verigin problem. 92f:35088 

Lépez-Gémez, Julidn (with Marquez, Viviana; Wolanski, Noemi) Blow up results and 
localization of blow up points for the heat equation with a nonlinear boundary condition. 
92j:35098 

Luckhaus, Stephan see Engler, Hans; et al., 92b:35082 

Ma, Tian (with Yu, Qing Yu) The initial-boundary value problem for equations with 
nonnegative characteristic forms. (Chinese) 92d:35157 

Malinetskii, G.G. see Kurdyumoy, S. P.; et al., 92g:35104 

Marquez, Viviana see Lépez-Gémez, Julian; et al., 92j:35098 

McKinney, William R. see Alikakos, Nicholas D., 92b:35081 

Merle, Frank Solution of a nonlinear heat equation with arbitrarily given blow-up points. 
92k:35160 

Mikeli¢, Andro see Elliott, Charles M., 92k:35155 

Naumkin, P. I. (with Shishmarév, I. A.) Nonlinear nonlocal equations in wave theory. II. 
A system of equations of surface waves. Asymptotics of dissipative equations. (Russian) 
92a:35092 

Nishiura, Yasumasa see Caginalp, G., 92f:35084 

Novick-Cohen, A. On Cahn-Hilliard type equations. 92g:35105 

Palagachev, D. K. The tangential oblique derivative problem for second order quasilinear 
parabolic operators. 92g:35106 

Pavel’ev, A. V. see Vasil’eva, A. B. 

Pieniazek, Alicja see Baranski, Feliks, (92c:00013) 

Polatik, Peter Realization of any finite jet in a scalar semilinear parabolic equation on the 
ball in R>. 92g:35107 

— Complicated dynamics in scalar semilinear parabolic equations in higher space dimen- 
sion. 92¢:35063 

— Imbedding of any vector field in a scalar semilinear parabolic equation. 92j:35099 

Potapov, A. B. see Kurdyumoy, S. P.; et al., 92g:35104 








35K60 


Primicerio, Mario (with Gianni, Roberto) * La filtracién en medios porosos. (Spanish) 
[Filtration in porous media] 92c:35064 

Quittner, Pavol see Chipot, Michel; et al., 92h:35110 

Rasulov, A. S. Solution of a boundary value problem for a nonlinear equation of non- 
isotropic diffusion. (Russian) (see 92g:65003) 

Rieder, Giséle Ruiz see Dorroh, J. R., 92d:35156 

Sabina, José C. (with Fraile Peléez, José Maria) Wave analysis of a nonstationary gas- 
transport model. (Spanish) 92k:35161 

Sacks, Paul E. Behavior near t = 0 for solutions of the Dirichlet problem for u, = Ag(u) — 
J(u) in bounded domains. 924:35158 

Shishmaréy, I. A. see Naumkin, P. 1., 92a:35092 

Stawik, Lech see Jarnicki, Marek, 92j:35095 

(Tarzia, Domingo Alberto) see Primicerio, Mario, 92c:35064 

Tedeev, A. F. Estimates for the rate of stabilization as t — oo of the solution of the second 
mixed problem for a second-order quasilinear parabolic equation. (Russian) 92m:35142 

— Two-sided estimates for the rate of stabilization of the solution of the second mixed 
problem for a second-order quasilinear parabolic equation. (Russian. English summary) 
92¢e:35094 

— Stabilization of the solution of the third mixed problem for second-order quasilinear 
parabolic equations in a noncylindrical domain. (Russian) 92j:35100 

Tzavaras, Athanassios E. Strain softening in viscoelasticity of the rate type. 92d:35159 

Ural'tseva, N. N. A nonlinear problem with an oblique derivative for parabolic equations. 
(Russian. English summary) 924:35160 

Vasil’eva, A. B. (with Pavel’ev, A. V.) On the formation of a solution of contrast structure 
type for a singularly perturbed parabolic equation for large time values. (Russian. English 
summary) 

— (with Volkov, V.T.) Asymptotic approximation of a periodic solution of the second 
boundary value problem for a system with small diffusion. (Russian) 92g:35108 

Velazquez, Juan J.L. see Herrero, Miguel A., 92m:35140 

Vivaldi, M. A. see Garroni, Maria Giovanna, 92e:35093 

Volkov, V.T. see Vasil’eva, A. B., 92g:35108 

Wang, Guang Lie (with Wang, Wei!°) The first boundary value problem for general 
parabolic Monge-Ampére equation. 924:35161 

Wang, Wei!® see Wang, Guang Lie; et al., 924:35161 

Weidemaier, P. Local existence for a parabolic problem with fully nonlinear boundary 
condition arising in nonlinear heat conduction: an Lpy-approach. (see 92m:47001) 

Weng, Pei Xuan see Gopalsamy, Kondalsamy, 92k:35157 

Wolanski, Noemi see Lépez-Gémez, Julian; et al., 92j:35098 

Yang, Zhong Hua! Global asymptotic behavior of solutions to nonsteady state thermal 
ignition problems. (Chinese. English summary) 92g:35109 

Yin, Jing Xue The property of finite speed of propagation of generalized solutions to 
nonlinear diffusion equations. (Chinese) 92h:35112 

— The comparison principle for solutions to the first boundary value problem for singular 
and degenerate nonlinear diffusion equations. (Chinese. English summary) 924:35162 

— A note on the existence of classical solutions to filtration equations. (Chinese. English 
summary) 92f:35089 

Yu, Qing Yu see Ma, Tian; et al., 924:35157 

Zdankiewicz, Zbigniew The heat conduction problem with nonlinear boundary conditions 
for the strip. (Polish summary) (see 92c:00013) 

Zeman, Juraj On existence of the weak solution for nonlinear diffusion equation. (Slovak 
summary) 92a:35093 

Zhang, Zhen Bu (with Jiang, Li Shang) Blow-up of solutions of a class of nonlinear 
parabolic equations. 92m:35143 

Zhang, Zhuang Zhi The existence and asymptotic behavior of solutions for evolution 
equations and applications to P.D.E. 92j:35101 

Zhao, Jun Ning (with Du, Zhong Fu) Uniqueness of solution of the initial value problem 
for u,; = Au™ — u?. 92g:35110 


Items with secondary classifications in 35K60 


Akulov, V. F. (with Shishkov, A. E.) Asymptotic properties of solutions of mixed problems 
for quasilinear parabolic equations in unbounded domains. (Russian) 92j:35015 

Andreucci, Daniele Existence and uniqueness of solutions to a concentrated capacity 
problem with change of phase. 92g:80006 

Bai, Dong Hua (with Tan, Qi Jian) Initial-boundary value problems for quasilinear 
parabolic equations with discontinuous coefficients. (Chinese. English summary) 
92b:35161 

Bandle, Catherine Blow up in exterior domains. 924:35023 

Berestycki, H. (with Nirenberg, Louis) Travelling front solutions of semilinear equations in 
n dimensions. 92i:35049 

Bertsch, Michiel (with Hilhorst, Danielle) The interface between regions where u < 0 and 
u > 0 in the porous medium equation. 92d:35308 

Boccardo, Lucio (with Gallouét, Thierry) Nonlinear elliptic and parabolic equations 
involving measure data. 92d:35286 

Breuer, Shlomo (with Roseman, Joseph J.) Spatial decay theorems for nonlinear parabolic 
equations in semi-infinite cylinders. 924:35044 

Butuzov, V. F. (with Esimova, S. T.) A smoothing procedure in a singularly perturbed 
paraboiic problem. (Russian) 92c:35014 

Cannon, John R. (with Yin, Hong Ming) A periodic free boundary problem arising in some 
diffusion chemical reaction processes. 92g:35240 

Cantrell, Robert Stephen (with Cosner, Chris) Diffusive logistic equations with indefinite 
weights: population models in disrupted environments. II. 92h:92015 

Chan, Chiu Yeung (with Cobb, Shannon S.) Critical lengths for semilinear singular 
parabolic mixed boundary value problems. 92g:35015 

Chen, Xinfa (with Reitich, Fernando) Local existence and uniqueness of solutions of the 
Stefan problem with surface tension and kinetic undercooling. 92m:35277 

Chen, Zu Chi The first boundary value problem for strongly degenerate quasilinear 
parabolic equations. 92¢:35065 

Chipot, Michel (with Cimatti, Giovanni) A uniqueness result for the thermistor problem. 
924:80003 


Cimatti, Giovanni A nonlinear parabolic system. (Italian summary) 92d:35135 


PARTIAL DIFFERENTIAL EQUATIONS 


— see also Chipot, Michel, 92f:80003 

Cobb, Shannon S. see Chan, Chiu Yeung, 92g:35015 

Cosner, Chris see Cantrell, Robert Stephen, 92h:92015 

Cox, Robert W. Stress-assisted diffusion: a free boundary problem. 92i:35131 

Dettori, L. Spectral approximations of attractors of a class of semilinear parabolic 
equations. 92k:58250 

Diaz Diaz, Jestis Ildefonso (with Lifian, Amable) The release of gas in long pipelines: 
modeling and study of a doubly nonlinear parabolic equation. (Spanish) 92d:76043 

— (with Shmarév, S. I.) On the behaviour of the interface in nonlinear processes with 
convection dominating diffusion via Lagrangian coordinates. 92m:35278 

Ei, S.-I. see Mimura, Masayasu; et al., 92g:92017 

Esimova, S.T. see Butuzov, V. F., 92c:35014 

Fang, Qing see Mimura, Masayasu; et al., 92g:92017 

Fardigola, L. V. A nonlocal boundary value prob in a layer: the influence of the 
parameters on the properties of the solutions. (Russian) 92k:35029 

Fila, Marek (with Quittner, Pavol) The blow-up rate for the heat equation with a nonlinear 
boundary condition. 92a:35023 

Foias, Ciprian (with Jolly, M. S.; Kevrekidis, Ioannis G.; Titi, Edriss Saleh) Dissipativity of 
numerical schemes. 92:65099 

Fusco, Giorgio (with Rocha, Carlos) A permutation related to the dynamics of a scalar 
parabolic PDE. 92h:35008 

Gallouét, Thierry see Boccardo, Lucio, 92d:35286 

Hilhorst, Danielle see Bertsch, Michiel, 92d:35308 

Hsiao, George C. (with Saranen, J.) Integral equation solution of some heat conduction 
problems. 924:35119 

Hu, Bei Diffusion of penetrant in a polymer: a free boundary problem. 92d:35309 

Imai, Takashi (with Mochizuki, Kiyoshi) On blow-up of solutions for quasilinear 
degenerate parabolic equations. 92k:35164 

Jarusek, Jiti On the regularity of solutions of a thermoelastic system under noncontinuous 
heating regimes. II. (Czech summary) 92e:35043 

Jolly, M.S. see Foias, Ciprian; et al., 92f:65099 

Kamont, Zdzislaw (with Zacharek, S.) Line method approximations to the initial- 
boundary value problem of Neumann type for parabolic differential-functional equations. 
92j:65182 

Kenmochi, Nobuyuki A new proof of the uniqueness of solutions to two-phase Stefan 
problems for nonlinear parabolic equations. 92k:35297 

Kevrekidis, Ioannis G. see Foias, Ciprian; et al., 92f:65099 

Kolesov, A. Yu. Self-induced oscillations of singularly perturbed parabolic systems of the 
first degree of structural instability. (Russian) 92g:35026 

Lavrent'ev, M. M., Jr. Estimation of the highest derivative for some nonlinear parabolic 
equations. (Russian) 92¢:35023 

Lenhart, Suzanne M. (with Stojanovic, Srdjan; Protopopescu, V.) Variational approach for 
competitive systems with obstacles. 92e:90139 

Lepin, L. A. On the absence of monotone solutions to a nonlinear boundary value problem. 
(Russian. English and Latvian summaries) 92h:34053 

Lifidn, Amable see Diaz Diaz, Jestis Ildefonso, 92d:76043 

Meirmanov, A. M. On the vanishing of the transition phase in a spherically symmetric 
Stefan problem. (Russian) 92m:35281 

Memory, Margaret C. Stable and unstable manifolds for partial functional-differential 
equations. 92a:35156 

Milner, Fabio A mixed finite element method for the Cahn-Hilliard and the Sivashinsky 
equations. (Portuguese summary) 92c:65109 

Mimura, Masayasu (with Ei, S.-I.; Fang, Qing) Effect of domain-shape on coexistence 
problems in a competition-diffusion system. 92g:92017 

Mochizuki, Kiyoshi see Imai, Takashi, 92k:35164 

Morgan, J. J. Global existence for semilinear parabolic systems on one-dimensional 
bounded domains. 92f:35079 

Muzylév, N. V. On the uniqueness of the simultaneous determination of the coefficient in 
a quasilinear parabolic equation and the coefficient in the boundary condition. (Russian) 
92m:35273 

Neittaanmaki, Pekka (with Tiba, Dan) Optimal control for state constrained two-phase 
Stefan problems. 924:49039 

Nirenberg, Louis see Berestycki, H., 92i:35049 

Nizhnik, L. P. (with Taraborkin, L. A.) Selfadjoint operators generated by nonhomoge- 
neous elliptic problems with discontinuous boundary conditions and conjugation condi- 
tions. (Russian. Ukrainian summary) 92e:47085 

Philip, J. R. Exact solutions for redistribution by nonlinear convection-diffusion. 
92m:76129 

Protopopescu, V. see Lenhart, Suzanne M.; et al., 92e:90139 

Quittner, Pavol see Fila, Marek, 92a:35023 

Reitich, Fernando see Chen, Xinfu, 92m:35277 

Rocha, Carlos see Fusco, Giorgio, 92h:35008 

Roseman, Joseph J. see Breuer, Shlomo, 92d:35044 

Sad, J. E. Large time behaviour of the doubly nonlinear porous medium equation. 
92¢:76069 

Sander, G.C. Exact solutions to nonlinear diffusion-convection problems on finite domains. 
92m:76130 

Saranen, J. see Hsiao, George C., 92d:35119 

Shen, Quan see Su, Yu Cheng; et al., 92j:65155 

Shishkov, A. E. see Akulov, V. F., 92j:35015 

Shmarév, S.1I. see Diaz Diaz, Jestis Ildefonso, 92m:35278 

Siddique, A. A class of generalized transform and their application in the boundary value 
problem of heat conduction. 92¢:44007 

Stojanovic, Srdjan see Lenhart, Suzanne M.; et al., 92e:90139 

Su, Yu Cheng (with Shen, Quan) The numerical solution of a singularly perturbed problem 
for semilinear parabolic differential equation. (Chinese. English summary) 92j:65155 

Tan, Qi Jian see Bai, Dong Hua; et al., 92b:35161 

Taraborkin, L. A. see Nizhnik, L. P., 92e:47085 

Thompson, Russell C. (with Walter, Wolfgang L.) A qualitative study on a parabolic free 
boundary problem. 92i:35134 








597 1992 


— (with Walter, Wolfgang L.) An existence theorem for a parabolic free boundary problem. 
92k:35302 

Tiba, Dan see Neittaanmaki, Pekka, 92d:49039 

Titi, Edriss Saleh see Foias, Ciprian; et al., 92f:65099 

Vishnevskii, M. P. Asymptotic behavior of solutions of mixed problems for quasilinear 
parabolic equations. (Russian) 92h:35026 

Vuillermot, Pierre-A. A geometric theory for semilinear almost-periodic parabolic partial 
differential equations on R’. (see 92m:35004) 

Walter, Wolfgang L. see Thompson, Russell C., 92i:35134 and 92k:35302 

Wen, Ru Qing The blow-up of solutions to semilinear heat equations of the fourth order. 
(Chinese. English summary) 92g:35018 

Xu, Xiang Sheng On the regularity of weak solutions of a one-dimensional two-phase 
degenerate Stefan problem with convection. 92¢:35129 

— A diffusion problem involving two free boundaries. 92h:35249 

Yagi, Atsushi Abstract quasilinear evolution equations of parabolic type in Banach spaces. 
(Italian summary) 92h:47100 

Yin, Hong Ming see Cannon, John R., 92g:35240 

Yong, Jiong Min (with Zheng, Song Mu) Feedback stabilization for the phase field 
equations. 92d:93098 

Yu, Wang Hui Existence of classical solution of a quasilinear Stefan-Signorini problem. 
92g:35247 

Zacharek, S. see Kamont, Zdzistaw, 92j:65182 

Zheng, Song Mu see Yong, Jiong Min, 92d:93098 

Zvyagin, V.G. The properness of elliptic and parabolic differential operators [in Global 
analysis and nonlinear equations (Russian), 58-75, Voronezh. Gos. Univ., Voronezh, 
1988; MR 90k:58224]. (see 92b:58001) 


35K65 Parabolic partial differential equations of degenerate type 


Aiki, Toyohiko (with Shinoda, Junichi; Kenmochi, Nobuyuki) Periodic stability for some 
degenerate parabolic equations with nonlinear flux conditions. 92m:35144 

Akkalainen, L. E. (with Sviridyuk, G. A.) An initial-boundary value problem for a 
degenerate parabolic equation. (Russian) (see 92g:47001) 

Amann, Herbert Highly degenerate quasilinear parabolic systems. 92m:35145 

— Global existence for a class of highly degenerate parabolic systems. 92f:35090 

Anderson, Jeffrey R. Local existence and uniqueness of solutions of degenerate parabolic 
equations. 92d:35163 

Andreucci, Daniele (with DiBenedetto, E.) On the Cauchy problem and initial traces for a 
class of evolution equations with strongly nonlinear sources. 92m:35146 

Bernis, Francisco Nonlinear parabolic equations arising in semiconductor and viscous 
droplets models. (see 92m:35003) 

— (with Peletier, L. A.; Williams, S. M.) Source type solutions of a fourth order nonlinear 
degenerate parabolic equation. 92k:35162 

Chen, Zu Chi The first boundary value probl 
parabolic equations. 92c:35065 

Choe, Hi Jun Hélder continuity for solutions of certain degenerate parabolic systems. 
92m:35147 

Dal Passo, Roberta (with de Mottoni, Piero; Schatzman, Michelle) On a superdegenerate 
parabolic system. 92¢:35066 

Danilov, V.G. Asymptotic compactly supported solutions of degenerate quasilinear 
parabolic equations with small diffusion. (Russian) 92k:35163 

DiBenedetto, E. (with Manfredi, Juan J.; Vespri, Vincenzo) A note on boundary regularity 
for certain degenerate parabolic equations. (see 92m:35003) 

— see also Andreucci, Daniele, 92m:35146 

Eskin, L. D. On the asymptotic behavior of solutions of degenerate parabolic equations. 
(Russian) 92i:35070 

Fang, Hui Zhong The first boundary value problem for quasilinear degenerate parabolic 
equations—uniqueness and regularity of solutions. (Chinese. English summary) 
92e:35095 

Fukuda, Isamu (with Tsutsumi, Masayoshi) The initial-boundary value problem for a 
nonlinear degenerate parabolic equation. 92¢:35096 

Galaktionov, V. A. (with Posashkov, S. A.) On the monotonicity property for a quasilinear 
degenerate parabolic equation and its applications. (Russian. English summary) 
92e:35097 

— On a blow-up set for a nonlinear equation of diffusion and combustion. (Russian) 
92h:35113 

Gorodetskii, V. V. (with Zhitaryuk, I. V.) On the rate of localization of solutions of the 
Cauchy problem for equations of parabolic type with degeneration. (Russian) 92c:35067 

Gitz, I. G. The nonuniqueness in a model for phase transitions in binary alloys. (see 
92b:65009) 

Guedda, M. (with Hilhorst, Danielle; Picard, Colette) The one-dimensional porous 
medium equation with convection: continuous differentiability of interfaces after the 
waiting time. 92j:35102 

Gutiérrez, Cristian E. (with Wheeden, Richard L.) Harnack’s inequality for degenerate 
parabolic equations. 92f:35091 

Hilhorst, Danielle see Guedda, M.; et al., 92j:35102 

Huang, Zhi Da (with Primicerio, Mario) The surface evaporation problem with Signorini 
boundary condition. 92m:35148 

Imai, Takashi (with Mochizuki, Kiyoshi) On blow-up of solutions for quasilinear 
degenerate parabolic equations. 92k:35164 

Ivanov, Aleksandr Vasil‘evich Regularity of generalized solutions of second-order quasilin- 
ear degenerate parabolic systems. (Russian) 92f:35092 

— Hélder estimates near the boundary for generalized solutions of quasilinear parabolic 
equations that admit double degeneration. (Russian. English summary) 92k:35165 

Kenmochi, Nobuyuki Asymptotic stability for nonlinear degenerate parabolic equations with 
Neumann boundary conditions. 924:35164 

— see also Aiki, Toyohiko; et al., 92m:35144 

Lesaint, P. (with Pousin, Jéréme) Existence and approximation results for thermal 
boundary layer equations of reactive flows. 92¢:35068 





for strongly degenerate quasilinear 





35K Parabolic equations and systems 


35K65 


Li, Hui Lai Similarity solutions to a class of quasilinear degenerate parabolic equations. 
(Chinese. English summary) 924:35165 

Liu, Yi? A “cooling” theorem. (Chinese. English summary) 92i:35071 

Malyshev, Igor On the parabolic potentials in degenerate-type heat equation. 924:35166 

Manfredi, Juan J. see DiBenedetto, E.; et al., (92m:35003) 

Mochizuki, Kiyoshi see Imai, Takashi, 92k:35164 

de Mottoni, Piero see Dal Passo, Roberta; et al., 92c:35066 

Peletier, L. A. see Bernis, Francisco; et al., 92k:35162 

Picard, Colette see Guedda, M.; et al., 92j:35102 

Porzio, Maria Michaela L7°-estimates for degenerate and singular parabolic equations. 
92i:35072 

Posashkov, S. A. see Galaktionov, V. A., 92¢:35097 

Pousin, Jéréme see Lesaint, P., 92c:35068 

Primicerio, Mario see Huang, Zhi Da, 92m:35148 

Rudneva, T. P. Smoothness of the solution of the problem E for a degenerate parabolic 
equation. (Russian) 92g:35111 

Schatzman, Michelle see Dal Passo, Roberta; et al., 92c:35066 

Shinoda, Junichi see Aiki, Toyohiko; et al., 92m:35144 

Shishkov, A. E. Classes of uniqueness of solutions of the Cauchy problem for nonlinear 
degenerate parabolic equations. (Russian) 92f:35093 

Shmarév, S. I. The instantaneous origin of singularities in a solution of a degenerate 
parabolic equation. (Russian) 92b:35083 

Stahel, Andreas Existence and uniqueness of solutions to degenerate semilinear parabolic 
equations. 92g:35112 

Sviridyuk, G. A. see Akkalainen, L. E., (92g:47001) 

Tsutsumi, Masayoshi see Fukuda, Isamu, 92¢:35096 

Vespri, Vincenzo see DiBenedetto, E.; et al., (92m:35003) 

Wegert, Elias On the global solvability of the diffusion equation of Satsuma and Mimura. 
(German and Russian summaries) 92j:35104 

Wheeden, Richard L. see Gutiérrez, Cristian E., 92f:35091 

Williams, S. M. see Bernis, Francisco; et al., 92k:35162 

von Wolfersdorf, Lothar Travelling wave solutions of a nonlinear diffusion equation with 
integral term. (German and Russian summaries) 92j:35103 

Yang, Shi Xin A lower-upper solution method for nonlinear degenerate parabolic systems of 
equations. (Chinese. English summary) 92h:35114 

— see also Zhuang, Qiong Shan; et al., 92b:35084 

Yin, Jing Xue Finite speed of propagation of solutions for some quasilinear higher order 
parabolic equations with doubly strong degeneration. 92h:35115 

Zhang, Dao Wen Existence and uniqueness of solutions to the Cauchy problem for a class of 
bidegenerate filtration equations. (Chinese. English summary) 

Zhang, Jian Initial-boundary value problems for a class of degenerate parabolic equations. 
(Chinese. English summary) 92k:35166 

Zhao, Jun Ning Source-type solutions of degenerate quasilinear parabolic equations. 
92m:35149 

Zhitaryuk, I. V. see Gorodetskii, V. V., 92c:35067 

Zhou, Bao Xi see Zhou, Yu Lin; et al., 92f:35094 

Zhou, Yu Lin (with Zhou, Bao Xi) On a quasilinear degenerate equation of fifth order. 
(Chinese. English summary) 92f:35094 

Zhuang, Qiong Shan (with Yang, Shi Xin) Nonlinear boundary value problems for 
nonlinear degenerate parabolic systems of equations. (Chinese. English summary) 
92b:35084 


Items with secondary classifications in 35K65 


Amirat, Youcef Ecoulements en milieu poreux n’obéissant pas a la loi de Darcy. (English 
summary) [Flows in porous media not obeying the Darcy law] 92c:76066 

Androsova, L. N. see Ivasishen, S. D., 924:35061 

Berezin, B.1. (with Sushko, V.G.) Asymptotic expansion with respect to a small parameter 
of the solution of a problem with degeneration. (Russian) 92i:35025 

Bertsch, Michiel (with Ughi, Maura) Positivity properties of viscosity solutions of a 
degenerate parabolic equation. 92a:35006 

Biroli, Marco Almost periodicity and degenerate parabolic equations. 92g:35023 

Blanchard, Dominique (with Francfort, G. A.) A few results on a class of degenerate 
parabolic equations. 92j:35085 

Bouillet, Julio E. Hyperbolic properties of solutions of some parabolic equations. (Spanish) 
924:35138 

Choe, Hi Jun Holder regularity for the gradient of solutions of certain singular parabolic 
systems. 92m:35038 

Colli, Pierluigi (with Visintin, Augusto) On a class of doubly nonlinear evolution equations. 
92e:47120 

Dhaigude, D. B. Sturmian theorems for the time degenerate parabolic inequalities. 
92j:35008 

DiBenedetto, E. (with Kwong, Ying C.) Harnack estimates and extinction profile for weak 
solutions of certain singular parabolic equations. 92f:35033 

Dorroh, J. R. (with Rieder, Gistle Ruiz) A singular quasilinear parabolic problem in one 
space dimension. 924:35156 

Du, Zhong Fu see Zhao, Jun Ning; et al., 92g:35110 

Floater, M.S. Blow-up at the boundary for degenerate semilinear parabolic equations. 
92m:35139 

Francfort, G. A. see Blanchard, Dominique, 92j:35085 

Gagneux, Gérard (with Madaune-Tort, Monique) Three-dimensional solutions of nonlinear 
degenerate diffusion-convection processes. (French. English summary) 92h:76075 

Galaktionov, V. A. Monotonicity in time outside the initial support for a quasilinear heat 
equation. 92m:35120 

Giga, Yoshikazu (with Goto, Shun’ichi; Ishii, Hitoshi; Sato, Moto-Hiko) Comparison 
principle and convexity preserving properties for singular degenerate parabolic equations 
on unbounded domains. 92h:35010 

— (with Sato, Moto-Hiko) Generalized interface evolution with the Neumann boundary 
condition. 92k:35121 

Goldstein, Jerome A. (with Lin, Chin Yuan) An L” semigroup approach to degenerate 
parabolic boundary value problems. 92k:47137 





35K65 


Goto, Shun’ichi see Giga, Yoshikazu; et al., 92h:35010 

Grebenév, V. N. On a coordinate transformation in a problem with a free boundary. 
(Russian) 92k:35295 

Gutiérrez, Cristian E. (with Wheeden, Richard L.) Mean value and Harnack inequalities for 
degenerate parabolic equations. 92d:35025 

Haraux, Alain (with Kenmochi, Nobuyuki) Asymptotic behaviour of solutions to some 
degenerate parabolic equations. 92g:35034 

Hoh, Walter (with Jacob, Niels) On the potential theory of the Kolmogorov equation. 
92m:31008 

Ishii, Hitoshi see Giga, Yoshikazu; et al., 92h:35010 

Ivanov, Aleksandr Vasil’evich (with Mkrtychyan, P. Z.) A weighted estimate of the gradient 
for nonnegative generalized solutions of quasilinear doubly degenerate parabolic 
equations. (Russian. English summary) 92¢:35022 

Ivasishen, S. D. (with Androsova, L. N.) Integral representation of solutions of a class of 
degenerate parabolic equations of Kolmogorov type. (Russian) 924:35061 

Jacob, Niels see Hoh, Walter, 92m:31008 

Kadyrov, R. R. see Mirsagatov, Sh. Sh.; et al., 92h:35154 

Kenmochi, Nobuyuki see Haraux, Alain, 92g:35034 

Kwong, Ying C. see DiBenedetto, E., 92f:35033 

Li, Hui Lai Radial solutions of free boundary problems for degenerate parabolic equations. 
924:35310 

Li, Jun Jie® Initial value problems for a family of degenerate quasilinear parabolic systems 
of equations. (Chinese. English summary) 92k:35125 

Li, Yi‘ see Zhao, Jun Ning; et al., 92d:35315 

Lin, Chin Yuan see Goldstein, Jerome A., 92k:47137 

La, Guo Fu Some properties of free boundary for solution of porous medium equation with 
gravity term in one dimension. 92g:35245 

Ma, Tian (with Yu, Qing Yu) The initial-boundary value problem for equations with 
nonnegative characteristic forms. (Chinese) 92d:35157 

Madaune-Tort, Monique see Gagneux, Gérard, 92h:76075 

Malovichko, V. A. A nonlocal boundary value problem for a degenerate pseudoparabolic 
system. (Russian. English summary) 92b:35085 

Mirsagatov, Sh. Sh. (with Kadyrov, R. R.; Yakubov, O.) Classes of uniqueness for 
solutions of elliptic-parabolic equations in unbounded domains. (Russian. Uzbek 
summary) 92h:35154 

Mkrtychyan, P. Z. see Ivanov, Aleksandr Vasil’evich, 92¢:35022 

Mysovskikh, P.I. Generalized solutions of some degenerate equations of parabolic type. 
(Russian) 924:35287 

Nochetto, Ricardo H. (with Verdi, Claudio) Approximation of multidimensional Stefan- 
like probiems via hyperbolic relaxation. 92a:35165 

Petrushko, I. M. Boundary values of solutions of second-order parabolic equations that are 
degenerate on the boundary of the domain. (Russian) 924:35123 

Qi, Yuan-Wei The asymptotics of blow-up solutions to a degenerate parabolic equation. 
92£:35032 

Rieder, Gistle Ruiz see Dorroh, J. R., 92d:35156 

Sacks, Paul E. Limiting behavior of solutions of u, = Au” as m — oo. 92£:35083 

Sato, Moto-Hiko see Giga, Yoshikazu; et al., 92h:35010 and 92k:35121 

Showalter, R. E. (with Walkington, Noel J.) Diffusion of fluid in a fissured medium with 
microstructure. 92j:35084 

Sushko, V.G. see Berezin, B. I., 92i:35025 

Suzuki, Ryuichi On blow-up sets and asymptotic behavior of interfaces of one-dimensional 
quasilinear degenerate parabolic equations. 92m:35125 

Ughi, Maura see Bertsch, Michiel, 92a:35006 

Verdi, Claudio see Nochetto, Ricardo H., 92a:35165 

Visintin, Augusto see Colli, Pierluigi, 92e:47120 

Walkington, Noel J. see Showalter, R. E., 92j:35084 

Wheeden, Richard L. see Gutiérrez, Cristian E., 924:35025 

Xu, Xiang Sheng A diffusion problem involving two free boundaries. 92h:35249 

Yakubov, O. see Mirsagatov, Sh. Sh.; et al., 92h:35154 

Yin, Jing Xue The comparison principle for solutions to the first boundary value problem 
for singular and degenerate nonlinear diffusion equations. (Chinese. English summary) 
924d:35162 

— The compensated compactness method applied to quasilinear parabolic equations of 
higher order with doubly strong degeneration. 92k:35124 

Yu, Qing Yu see Ma, Tian; et al., 92d:35157 

Zhao, Jun Ning (with Li, Yi*) A free boundary problem for quasilinear degenerate 
parabolic equations with general degeneracy. 92d:35315 

— (with Du, Zhong Fu) Uniqueness of solution of the initial value problem for u, = Au” — 
u?. 92g:35110 


35K70 Ultraparabolic, pseudoparabolic PDE, etc. 


Belov, Yu. Ya. (with Lyubanova, A. Sh.) The method of fictitious domains for nonlinear 
pseudoparabolic equations. (Russian) 92g:35113 

Dai, Dao Qing Function theoretic methods for semilinear pseudoparabolic equations in two 
space dimensions. (see 92a:00039) 

Lyubanova, A. Sh. see Belov, Yu. Ya., 92g:35113 

Malovichko, V. A. A nonlocal boundary value problem for a degenerate pseudoparabolic 
system. (Russian. English summary) 92b:35085 

— Solvability of boundary value problems for some systems of differential equations. 
(Russian. Ukrainian summary) 924:35167 

Orlova, S. A. On the first boundary value problem for a directly and an inversely ultra- 
parabolic equation. (Russian) 92b:35086 

Orynbasarov, M.O. The Dirichlet problem for a class of ultraparabolic equations in a 
domain with a nonsmooth boundary. (Russian. Kazakh summary) 92g:35114 

Warchulski, Kazimierz The limit problem for the nonlinear polyparabolic equation. (Polish 
summary) (see 92c:00013) 

Zhou, Bao Xi see Zhou, Yu Lin; et al. 

Zhou, Yu Lin (with Zhou, Bao Xi) On the initial-boundary value problem for a class of 
pseudoparabolic system with degenerate term of higher order. (Chinese summary) 


PARTIAL DIFFERENTIAL EQUATIONS 


Items with secondary classifications in 35K70 

Drin’, Ya. M. see Gorodetskii, V. V., 92k:35308 

Gorodetskii, V. V. (with Drin’, Ya. M.) Parabolic pseudodifferential equations in spaces of 
generalized periodic functions. (Russian. English summary) 92k:35308 


35K85 Unilateral problems and variational inequalities for 
parabolic PDE [see also 35R35, 49J40] 


Frigon, Marlene (with Saccon, Claudio) Heat equations with discontinuous nonlinearities 
on convex and nonconvex constraints. 92k:35167 

Gallo, Angela (with Piccirillo, Anna Maria) On a class of first-order evolutionary 
variational inequalities. (Italian. English summary) 92j:35105 

Glazatov, S. N. A one-sided problem for an equation in the theory of a boundary layer. 
(Russian) (see 92d:35008) 

Kubo, Masahiro Some variational inequalities for age-dependent population dynamics. 
92d:35168 

Maksimov, V. I. On the modeling of control in parabolic variational inequalities. (Russian) 
92h:35116 

Moutoussamy, Isabelle (with Véron, Laurent) Source type positive solutions of nonlinear 
parabolic inequalities. 92g:35115 

Nagase, Haruo On an asymptotic behaviour of solutions of nonlinear parabolic variational 
inequalities. 92a:35094 

Piccirillo, Anna Maria see Gallo, Angela, 92j:35105 

Saccon, Claudio see Frigon, Marlene, 92k:35167 

Santos, Lisa A diffusion problem with gradient constraint and evolutive Dirichlet condition. 
92k:35168 

Véron, Laurent see Moutoussamy, Isabelle, 92g:35115 


Items with secondary classifications in 35K85 

Bachelis, Gregory F. (with Massey, Frank J., III) A coin tossing problem of R. L. Rivest. 
922:60106 

Bernardi, Marco Luigi (with Pozzi, Gianni Arrigo) On a class of singular nonlinear 
parabolic variational inequalities. (Italian summary) 92m:47136 

Bertoluzza, S. Discretization of parabolic inequalities. 92b:65059 

Byszewski, Ludwik Strong maximum and minimum principles for parabolic functional- 
differential problems with initial inequalities u(to, x) rn K. 92k:35041a 

— Strong maximum and minimum principles for parabolic functional-differential problems 
with nonlocal inequalities [u/ (t,x) — K/]+ 5, hi(x)[w/ (Ti, x) - K/\§ 0. 92k:35041b 

— Strong maximum principles for parabolic nonlinear problems with noalocal inequalities 
together with arbitrary functionals. 92b:35032 

Dhaigude, D. B. Sturmian theorems for the time degenerate parabolic inequalities. 
92j:35008 

Diaz Diaz, Jestis Ildefonso Sur la contrélabilité approchée des inéquations variationnelles et 
d’autres problémes parabol non linéaires. (English summary) [On the approximate 
controllability of variational inequalities and other nonlinear parabolic problems] 
92a:49014 

Friedman, Avner (with Reitich, Fernando) The Stefan problem with small surface tension. 
92¢:35125 

Garroni, Maria Giovanna (with Vivaldi, M. A.) Quasilinear, parabolic, integro-differential 
problems with nonlinear oblique boundary conditions. 92e:35093 

Guo, Bai Chang Necessary and sufficient conditions for classical solutions to a class of 
nonlinear parabolic equations. (Chinese) 92i:35064 

Hoffmann, Karl-Heinz! (with Niezgodka, Marek; Zheng, Song Mu) Existence and 
uniqueness of global solutions to an extended model of the dynamical developments in 
shape memory alloys. 92e:73003 

Huang, Zhi Da (with Primicerio, Mario) The surface evaporation problem with Signorini 
boundary condition. 92m:35148 

Khallaev, M. Kh. Some th of Phrag: 
parabolic inequalities. (Russian) 92¢:35022 

Lair, Alan V. Uniqueness for the Cauchy problem for nonlinear parabolic equations and 
inequalities. 92d:35148 

Lapin, A. V. Domain decomposition method to realize implicit mesh schemes for some 
singular parabolic equations. 92¢:65146 

Malec, Marian (with Selvaggi, R.; Sisto, I.) Functional-differential inequalities of parabolic 
type. 92i:35122 

Massey, Frank J., III see Bachelis, Gregory F., 92a:60106 

Niezgédka, Marek see Hoffmann, Karl-Heinz’; et al., 92e:73003 

Pozzi, Gianni Arrigo see Bernardi, Marco Luigi, 92m:47136 

Primicerio, Mario see Huang, Zhi Da, 92m:35148 

Quittner, Pavol A remark on the stability of stationary solutions of parabolic variational 
inequalities. 92f:47069 

— An instability criterion for variational inequalities. 92b:58059 

Reitich, Fernando see Friedman, Avner, 92¢:35125 

Selvaggi, R. see Malec, Marian; et al., 92i:35122 

Shi, Peter (with Shillor, Meir) Uniqueness and stability of the solution to a thermoelastic 
contact problem. 92f:73010 

Shillor, Meir see Shi, Peter, 92f:73010 

Sisto, I. see Malec, Marian; et al., 92i:35122 

Vivaldi, M. A. see Garroni, Maria Giovanna, 92e:35093 

Vyborny, Rudolf The Hadamard three-circles theorems for nonlinear equations. 92d:35054 

Walter, Wolfgang L. Differential inequalities. 92f:26029 

Zheng, Song Mu see Hoffmann, Karl-Heinz'; et al., 92e:73003 








Lindeléf type for solutions of semilinear 


35K99 None of the above, but in this section 


Items with secondary classifications in 35K99 


Alavidze, T.G. Pointwise factorization of systems of evolution equations. (Russian) 
92b:58033 





599 1992 


Angenent, Sigurd Parabolic equations for curves on surfaces. II. Intersections, blow-up and 
generalized solutions. 92b:58039 

Dancer, E. N. (with Hess, Peter) Stability of fixed points for order-preserving discrete-time 
dynamical systems. 92i:47088 

Erbe, Lynn H. (with Freedman, H. I.; Liu, Xinzhi; Wu, Jian Hong) Comparison principles 
for impulsive parabolic equations with applications to models of single species growth. 
92¢:92020 

Freedman, H.1I. see Erbe, Lynn H.; et al., 92c:92020 

Giga, Mariko (with Giga, Yoshikazu; Sohr, Hermann) L? estimate for abstract linear 
parabolic equations. 92¢e:35042 

Giga, Yoshikazu see Giga, Mariko; et al., 92e:35042 

Hess, Peter see Dancer, E. N., 92i:47088 

Karatzas, Ioannis (with Shreve, Steven E.) * Brownian motion and stochastic calculus. 
92h:60127 

Kuwano, Hiroshi A construction of the minimal diffusion processes associated with some 
degenerate elliptic operators. 92f:35070 

Liu, Xinzhi see Erbe, Lynn H.; et al., 92c:92020 

Milewski, Jan The limit problem for factorised partial differential equation APu = /. 
(Polish summary) (see 92¢:00013) 

Reissig, Michael A nonstationary nonlinear mixed problem for analytic functions. 
(Russian. English and Georgian summaries) 

Shreve, Steven E. see Karatzas, Ioannis, 92h:60127 

Sohr, Hermann see Giga, Mariko; et al., 92e:35042 

Turner, Cristina Vilma Diffusion of a solvent in a nonhomogeneous polymer. (Spanish) 
924:35314 

Wa, Jian Hong see Erbe, Lynn H.; et al., 92c:92020 


35Lxx Partial differential equations of hyperbolic type 
[see also 58G16] 

Carvalho e Silva, Jaime M. M. A survey of the necessary or sufficient conditions for 
the existence and unicity of C© solutions for hyperbolic equations and systems. (see 
92b:00044) 

Items with secondary classifications in 35Lxx 

(Engquist, Bjorn E.) see Conference: Hyperbolic Problems, 92a:00036 

(Gustafsson, Bertil) see Conference: Hyperbolic Problems, 92a:00036 

(Kreiss, Heinz-Otto) see Conference: Hyperbolic Problems, 92a:00036 

Items listed otherwise than by author 

Birthday: 


Kreiss, Heinz-Otto * Third International Conference on Hyperbolic Problems. Vol. I, II. 


92a:00036 
Conference: 
Hyperbolic Problems * Third International Conference on Hyperbolic Problems. Vol. I, 
Il. 92a:00036 
Uppsala * Third International Conference on Hyperbolic Problems. Vol. I, II. 92a:00036 


35L05 Wave equation 


Airapetyan, R. G. (with Kantardzhyan, L. S.) On the exact control of a mixed problem for 
an equation of the vibrations of a string. (Russian. English and Armenian summaries) 
92m:35150 

Alekseev, A.S. (with Avdeev, A. V.; Fat'yanov, A. G.; Cheverda, V. A.) * BosHosbie 
IIpOlecchl B BEPTHKAIbHO-HEOAHOPOTHbIX Cpefax: NpAMbie H O6paTubie 3aya4n. (Russian) 
[Wave processes in vertically inhomogeneous media: direct and inverse problems] 
92m:35151 

Ali Mehmeti, Felix (with Nicaise, Serge) Some realizations of interaction problems. (see 
92m:47001) 

Arnaudov, Ya. N. see Georgiev, Vladimir S., 92i:35074 

Avdeev, A. V. see Alekseev, A. S.; et al., 92m:35151 

Bagrov, V.G. (with Samsonov, B. F.; Shapovalov, A. V.; Shirokov, I. V.) Complete sets of 
symmetry operators that contain a second-order operator, and the problem of separation 
of variables in the wave equation. (Russian) 92h:35117 

Beals, Michael (with Strauss, Walter Alexander) Time decay estimates for a perturbed 
wave equation. (see 92d:35009) 

Behle, Alfred see Freter, Harald; et al., (92a:65021) 

Bielak, Jacobo (with MacCamy, Richard C.) Dissipative boundary conditions for one- 
dimensional wave propagation. 924:35169 

Broeze, Jan (with van Daalen, Edwin F.G.) Radiation boundary conditions for the two- 
dimensional wave equation from a variational principle. 92e:35099 

— see also van Daalen, Edwin F. G.; et al., 92e:35098 

Cardoso, Fernando (with Petkov, Vesselin M.; Stoyanov, Luchezar N.) Singularities of the 
scattering kernel for generic obstacles. 92i:35073 

Cheverda, V. A. see Alekseev, A. S.; et al., 92m:35151 

Collini Lanzi, Tiziana (with Prouse, Giovanni) On the motion of a discrete string vibrating 
against a rigid wall. (Italian summary) 924:35170 

van Daalen, Edwin F.G. (with Broeze, Jan; van Groesen, Embrecht) Variational principles 
and conservation laws in the derivation of radiation boundary conditions for wave 
equations. 92¢:35098 

— see also Broeze, Jan, 92e:35099 

Duistermaat, J. J. Huygens’ principle for linear partial differential equations. (see 
92m:78001) 

Eskin, Gregory The wave equation in a wedge with general boundary conditions. 
92m:35152 

Faraoni, V. see Sonego, Sebastiano, 92k:35171 

Farhy, Leon S. Asymptotic behaviour of solutions of the wave equation outside trapping 
obstacles. (see 92m:35004) 

Fat'yanov, A.G. see Alekseev, A. S.; et al., 92m:35151 


35L Partial differential equations of hyperbolic type 


35L05 


Freter, Harald (with Schrader, Jochen; Behle, Alfred) Simulation of wave propagation in 
viscoacoustic media by an integral equation method. (see 92a:65021) 

Fujiwara, Daisuke (with Takakuwa, Shdéichir6) Correction to: “A varifold solution to the 
nonlinear wave equation of motion of a vibrating membrane” [Kodai Math. J. 9 (1986), 
no. 1, 84-116; MR 87f:35139]. 92h:35118 

Georgiev, Vladimir S. (with Arnaudov, Ya. N.) Inverse scattering problem for dissipative 
wave equation. 92i:35074 

Giannone, Angela Some remarks on the method of high frequency asymptotic waves. 
(Italian summary) 92k:35169 

Grisvard, Pierre Some known results that fail on nonconvex domains. (see 92d:00018) 

van Groesen, Embrecht see van Daalen, Edwin F. G.; et al., 92e:35098 

Guzev, M. A. A space-time approach in the statistical theory of nonstationary wave 
processes. (Russian) 92m:35153 

Haraux, Alain (with Komornik, Vilmos) On the vibrations of rectangular plates. 92j:35106 

Hillion, Pierre Plane waves with transverse structure. 92j:35107 

Hislop, Peter D. (with Martinez, André) Scattering resonances of a Helmholtz resonator. 
92k:35170 

Horvath, Miklés The vibration of a membrane in different points. 92j:35108 

Kamen’, V. B. Wave equation with a concentrated moving source. 92c:35069 

Kantardzhyan, L.S. see Airapetyan, R. G., 92m:35150 

Khe Kan Cher Estimation of the solutions of Darboux-Protter problems for the two- 
dimensional wave equation. (Russian) 92m:35154a 

— Erratum: “Estimation of the solutions of Darboux-Protter problems for the two- 
dimensional wave equation”. (Russian) 92m:35154b 

Kolesov, A. Yu. The existence and stability of relaxation traveling waves in the nonlinear 
telegraph equation with small diffusion. (Russian) 

Komornik, Vilmos On the vibrations of a spherical membrane. 92a:35095 

— Rapid boundary stabilization of the wave equation. 924:35171 

— see also Haraux, Alain, 92j:35106 

Kreith, Kurt A selfadjoint problem for the wave equation in higher dimensions. 92a:35096 

MacCamy, Richard C. see Bielak, Jacobo, 924:35169 

Mamontov, E. V. On a problem with an oblique derivative for the wave equation. (Russian) 
92a:35097 

Martinez, André see Hislop, Peter D., 92k:35170 

Mikhailova, T. Yu. Equivalence of the Cauchy problem for the wave equation and its 
symmetrization. (Russian) 92g:35116 

Moiseev, E. 1. On a problem of Lions. (Russian) 92g:35117 

Nakamura, Gen Existence and propagation of Rayleigh waves and pulses. 92j:35109 

Nazaikinskii, V. E. (with Sternin, B. Yu.; Shatalov, V. E.) Application of Maslov’s operator 
method to a diffraction problem. (Russian) 

Nicaise, Serge see Ali Mehmeti, Felix, (92m:47001) 

Petkov, Vesselin M. see Cardoso, Fernando; et al., 92i:35073 

Prouse, Giovanni see Collini Lanzi, Tiziana, 92d:35170 

Rikhter, S. V. Necessary and sufficient conditions for well-posedness of a mixed problem for 
the wave equation in an unbounded domain with higher-order derivatives in the boundary 
condition. (Russian) (see 924:35008) 

Sadybekov, M. A. The Dirichlet problem and nonlocal boundary value problh 
wave equation. (Russian) 92b:35087 

Samsonov, B. F. see Bagrov, V. G.; et al., 92h:35117 

Schrader, Jochen see Freter, Harald; et al., (92a:65021) 

Shapovalov, A. V. see Bagrov, V. G.; et al., 92h:35117 

Shatalov, V. E. see Nazaikinskii, V. E.; et al. 

Shirokov, I. V. see Bagrov, V. G.; et al., 92h:35117 

Sonego, Sebastiano (with Faraoni, V.) Huygens’ principle and characteristic propagation 
property for waves in curved space-times. 92k:35171 

Sternin, B. Yu. see Nazaikinskii, V. E.; et al. 

Stoyanov, Luchezar N. see Cardoso, Fernando; et al., 92i:35073 

Strauss, Walter Alexander see Beals, Michael, (92d:35009) 

Takakuwa, Shéichiré see Fujiwara, Daisuke, 92h:35118 

Tutschke, Wolfgang An elementary proof of the Hoelder continuity of the solution of 
Dirichlet boundary value probl (see 92i:00023) 

Weston, V.H. Invariant imbedding for the wave equation in three dimensions and the 
applications to the direct and inverse problems. 92e:35100 

Zworski, Maciej High frequency scattering by a convex obstacle. 92¢:35070 





for the 





Items with secondary classifications in 35L05 


Affouf, M. L? estimates for the perturbed phase transitions in unbounded one-dimensional 
nonlinear viscoelasticity. 92c:73060 

Ames, Karen A. (with Isakov, Victor) An explicit stability estimate for an ill-posed Cauchy 
problem for the wave equation. 924:35043 

Amirov, A. Kh. (with Pashaev, R. T.) An inverse problem for the wave equation. (Russian) 

An, Yu Kun see Xu, Deng Zhou; et al. 

Antoniou, Ioannis E. (with Misra, Baidyanath) Nonunitary transformation of conservative 
to dissipative evolutions. 924:35018 

Barclay, D. W. (with Moodie, T. B.) Isochromatic curve patterns for some wave propaga- 
tion in problems in elastic plates. (see 92a:65021) 

Bardos, Claude (with Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrike) 
Stabilisation de l’équation des ondes au moyen d’un feedback portant sur la condition aux 
limites de Dirichlet. (English summary) [Stabilization of the wave equation by Dirichlet- 
type boundary feedback] 92k:93100 

Bauer, Heinz Dirichlet problem and irregular boundary points. 

Belishev, M.I. (with Kurylév, Ya. V.) Boundary control, wave field continuation and 
inverse problems for the wave equation. 92h:35235 

Benker, H. see Drabla, S., 92k:73028 

Borovikov, I. P. Uniqueness of the solution of an inverse problem for the wave equation. 
(Russian) 92g:35223 

Boyd, John Philip A comparison of numerical and analytical methods for the reduced wave 
equation with multiple spatial scales. 92g:34018 

Budaev, B. V. Diffraction of elastic waves by wedge-shaped structures. (Russian. English 
summary) 92a:35118 





35L05 


Cabaiia, Enrique M. On two parameter Wiener process and the wave equation. 

€anak, Milos S. Application of some results of mathematical theory of music in function 
and making of music instruments. I. The stringed instruments. 92j:00023 

Carminati, John (with Czapor, S. R.; McLenaghan, Raymond G.; Williams, Graeme C.) 
Consequences of the validity of Huygens’ principle for the conformally invariant scalar 
wave equation, Weyl’s neutrino equation and Maxwell’s equations on Petrov type II 
space-times. (French summary) 92k:83031 

Chen, Benito C. (with Jorge, M. C.; Minzoni, A. A.) Bifurcation of solutions for an inverse 
problem in potential theory. 92j:35185 

Chen, Goong see Zhou, Jian-Xin, 92b:93068 

Chiebik, M. (with Kral, Josef) Removable singularities of the functional wave equation. 
(German and Russian summaries) 92:35140 

Cioranescu, Doina (with Donato, Patrizia; Zuazua, Enrike) Contrdélabilité exacte frontiére 
de l’équation des ondes dans des domaines avec des petits trous. [Exact boundary 
controllability for the wave equation in domains with small holes] 92e:93005 

— (with Donato, Patrizia; Murat, Francois; Zuazua, Enrike) Homogenization and corrector 
for the wave equation in domains with small holes. 92i:35016 

Collino, F. see Sei, A., (92a:65021) 

Czapor, S. R. see Carminati, John; et al., 92k:83031 

De Bievre, S. (with Pravica, D. W.) Spectral analysis for optical fibres and stratified fluids. 
I. The limiting absorption principle. 92e:35114 

Deeba, Elias Y. (with Koh, E. L.) d’Alembert functional equations in distributions. 
92k:46066 

Dikasov, V. M. An inverse problem for the wave equation in a ball. (Russian) 92d:35296 

Dittmar, Bodo (with Schenk, Birgit) Zur Berechnung Stekloffscher Eigenwerte—numerische 
Beispiele. (English summary) [On the computation of Steklov eigenvalues—numerical 
examples] 924:65181 

Donato, Patrizia see Cioranescu, Doina; et al., 92e:93005 and 92i:35016 

Drabla, S. (with Benker, H.) Résolution d’un probléme de ressort. (English and German 
summaries) [Solution of a spring motion problem] 92k:73028 

Fabre, Caroline (with Puel, Jean-Pierre) Wave equations with singular right-hand side: 
application to exact controllability. 92m:35031 

Farhy, Leon S. Poles of the scattering matrix produced by a trapped periodic ray with two 
eigenvalues of the Poincaré mapping equal to one and two different from one. 92h:35172 

Georgiev, Vladimir S. Uniform boundedness of the energy for time-periodic potentials. 
92:47008 

Glowinski, Roland see Li, Chin Hsien, 92h:35023 

Gordienko, V.M. (with Tyshchenko, A. V.) A condition for the coincidence of the rate 
of propagation of perturbations in the wave equation and its symmetrization. (Russian) 
92£:58177 

Grisvard, Pierre Exact controllability of the wave equation in presence of corners and 
cracks. (see 92m:47001) 

Ha-Duong, Tuong (with Joly, Patrick) A generalized image principle for the wave equation 
with absorbing boundary conditions and applications to fourth order finite difference 
schemes. (see 92a:00036) 

Hagstrom, Thomas Consistency and convergence for numerical radiation conditions. (see 
92a:65021) 

Halpern, Laurence see Bardos, Claude; et al., 92k:93100 

Hansen, Sénke Solution of a hyperbolic inverse problem by linearization. 924:35298 

Haraux, Alain On a completion problem in the theory of distributed control of wave 
equations. 92k:93022 

Hill, Desmond L. see Hill, James M., 92e:35088 

Hill, James M. (with Hill, Desmond L.) On the derivation of first integrals for similarity 
solutions. 92e:35088 

Hoang Dinh Dung Integral representations of some (p, q)-wave functions and their 
application. 92¢:35045 

Hull, Andrew J. see MacCluer, C. R.; et al., 92m:76126 

Ibragimov, N. Kh. (with Oganesyan, A.O.) Hierarchy of Huygens equations in spaces with 
a nontrivial conformal group. (Russian) 92m:58137 

Ikawa, Mitsuru On the distribution of poles of the scattering matrix for several convex 
bodies. 92a:35126 

— On the poles of the scattering matrix. (Japanese) 92b:35117 

— On scattering by obstacles. (see 92m:00054) 

Isakov, Victor see Ames, Karen A., 92d:35043 

Joly, Patrick see Ha-Duong, Tuong, (92a:00036) 

Jorge, M.C. see Chen, Benito C.; et al., 92j:35185 

Jung, Hartmut * Zur Zeitasymptotik von Wellenausbreitungs- und Warmeleitungsprozessen 
in inhomogenen Medien. (German) [On the time asymptotics of wave propagation and 
heat conduction processes in inhomogeneous media] 92b:35031 

Kabanikhin, S.1. (with Satybaev, A. D.) Finite-difference regularization of a linearized 
inverse problem for the two-dimensional wave equation. (Russian) 92e:35173 

Kamp, Leon P. J. see Vissers, F. P. L. M.; et al., 92c:78011 

Kaplan, L. E. A self-consistent problem on the oscillations of an infinitely long string loaded 
with a moving concentrated mass. (Russian) 92a:73022 

Klyatskin, V. I. Plane waves in layered random media. The role of boundary conditions. 
(see 92i:00020) 

Koh, E. L. see Deeba, Elias Y., 92k:46066 

Komornik, Vilmos Exact controllability of hyperbolic systems. (Spanish) 92f:93016 

— (with Zuazua, Enrike) A direct method for the boundary stabilization of the wave 
equation. 92¢:35020 

Kostousova, E. K. On the weak observability property for the one-dimensional wave 
equation with a point nonstationary observation operator. (Russian) 92k:93031 

Kral, Josef see Chiebik, M., 92f:35140 

Kurylév, Ya. V. see Belishev, M. I., 92h:35235 

Lasiecka, Irena (with Sokolowski, Jan; Neittaanmaki, Pekka) Regularization and finite 
element approximation of the wave equation with Dirichlet boundary data. 924:65195 

— (with Sokolowski, Jan) Sensitivity analysis of optimal control problems for wave 
equations. 924:49048 

Lavrent'ev, M. M., Jr. Reconstruction of a piecewise-constant coefficient of the wave 
equation. (Russian) 92g:35231 


PARTIAL DIFFERENTIAL EQUATIONS 


Lebeau, Gilles see Bardos, Claude; et al., 92k:93100 

Lewis, Robert Michael (with Symes, William W.) On the relation between the velocity 
coefficient and boundary value for solutions of the one-dimensional wave equation. 
92g:35233 

Li, Chin Hsien (with Glowinski, Roland) On the exact Neumann boundary control of wave 
equations. 92h:35023 

Logunov, S. L. A stability estimate in the Skorokhod metric for a dynamic problem of 
seismic prospecting. (Russian) 92g:35031 

Lyalinov, M. A. Fock’s asymptotics in the problem of diffraction by a moving smooth 
contour. (Russian. English summary) 92k:35207 

MacCluer, C. R. (with Radcliffe, C. J.; Hull, Andrew J.) Diagonalizing acoustic models. 
92m:76126 

McLenaghan, Raymond G. see Carminati, John; et al., 92k:83031 

Minzoni, A. A. see Chen, Benito C.; et al., 92j:35185 

Misra, Baidyanath see Antoniou, Ioannis E., 924:35018 

Moodie, T. B. see Barclay, D. W., (92a:65021) 

Murat, Francois see Cioranescu, Doina; et al., 92i:35016 

Neittaanmaki, Pekka see Lasiecka, Irena; et al., 92d:65195 

Oganesyan, A. O. see Ibragimov, N. Kh., 92m:58137 

Ogorodnikov, E.I. see Shaidurov, V. V., (92a:65021) 

Pashaev, R.T. see Amirov, A. Kh. 

Petkov, Vesselin M. Les singularités du noyau de l’opérateur de diffusion pour des obstacles 
non-convexes. [Singularities of the scattering operator kernel for nonconvex obstacles] 
92£:35112 

— Singularities of the scattering kernel for nonconvex obstacles. 92h:35173 

— Péles de la matrice de diffusion pour des perturbations captives. [Poles of the scattering 
matrix for bound perturbations] 92k:35208 

Pletner, Yu. D. Fundamental solution of an equation of internal waves, and some initial- 
boundary value problems. (Russian) 92g:35006 

Popov, Georgi S. Quasimodes for the Laplace operator and glancing hypersurfaces. 
92e:35013 

Popov, I. Yu. Theory of extensions and the localization of resonances for domains of trap 
type. (Russian) 92k:47094 

Pravica, D. W. see De Bievre, S., 92e:35114 

Puel, Jean-Pierre see Fabre, Caroline, 92m:35031 

Radcliffe, C. J. see MacCluer, C. R.; et al., 92m:76126 

Ramm, A. G. (with Sjéstrand, Johannes) An inverse problem of the wave equation. 
924:35303 

Rauch, Jeffrey see Bardos, Claude; et al., 92k:93100 

Satybaev, A. D. see Kabanikhin, S. I., 92e:35173 

Schenk, Birgit see Dittmar, Bodo, 92d:65181 

Schiavone, S. E. Fractional powers of the retarded potential. 92h:47019 

Sei, A. (with Collino, F.) Discretization of the wave equation in heterogeneous media. (see 
92a:65021) 

Shaidurov, V. V. (with Ogorodnikov, E. I.) Some numerical method of solving Helmholtz 
wave equation. (see 92a:65021) 

Sjéstrand, Johannes Asymptotique des résonances pour des obstacles. [Asymptotics of 
resonances for obstacles] 92¢:35036 

— see also Ramm, A. G., 924:35303 

Sluijter, F.W. see Vissers, F. P. L. M.; et al., 92c:78011 

Sochacki, James A. Absorbing boundary conditions using regions with exponential decay. 
(see 92a:65021) 

Soga, H. The scattering kernel of the elastic wave equation. (see 92b:35006) 

Sokotowski, Jan see Lasiecka, Irena, 92d:49048 and 924:65195 

Srumova, F. V. Resonance properties of energy radiated by randomly distributed sources of 
oscillations. (Russian) 

Stefanov, Plamen D. Inverse scattering problems for the wave equation with time dependent 
impurities. (see 92a:00040) 

— Some inverse problems in potential scattering. (see 92b:35006) 

— Inverse scattering problem for moving obstacles. 92h:35174 

Stoyanov, Luchezar N. Nonexistence of generalized scattering rays and singularities of the 
scattering kernel for generic domains in R?. 92b:58236 

Stuart, David M. A. A particle-field theory in the form of a hyperbolic free boundary 
problem. 92h:35246 

Symes, William W. Layered velocity inversion: a model problem from reflection seismology. 
92e:35175 

— see also Lewis, Robert Michael, 92g:35233 

Tret'yakov, P. V. Integral solutions of the wave equation and the problem of diffraction of 
an arbitrary acoustic wave by a wedge. (Russian) 92f:35113 

Triméche, K. Transformation intégrale de Weyl généralisée associée 4 un opérateur 
différentiel singulier sur (0, 00) et probléme de radiation de Weinstein généralisé. (English 
summary) [Generalized integral Weyl transform associated with a singular differential 
operator on (0, co) and the Weinstein generalized radiation problem] 92j:46072 

Tyshchenko, A. V. see Gordienko, V. M., 92f:58177 

Vavilov, S. A. On the solvability of a class of operator equations. (Russian) 92h:47093 

Vissers, F. P.L. M. (with Kamp, Leon P. J.; Sluijter, F. W.) Some generalizations of radial 
Bremmer series. 92¢:78011 

Warchall, Henry A. Wave propagation at computational domain boundaries. 92a:65251 

Weck, N. (with Witsch, K. J.) The low frequency limit of the exterior Dirichlet problem for 
the reduced wave equation. 92h:35054 

Weston, V.H. Wave splitting and the reflection operator for the wave equation. (see 
92a:00040) 

Wilcox, Calvin H. The Cauchy problem for the wave equation with distribution data: an 
elementary approach. 92h:35227 

Williams, Graeme C. see Carminati, John; et al., 92k:83031 

Witsch, K. J. see Weck, N., 92h:35054 

Xu, Deng Zhou (with An, Yu Kun) Multiple solutions to a class of asymptotic linear wave 
equations without monotonicity hypotheses. (Chinese. English summary) 

Yamamoto, Kazuhiro The behavior of the analytically continued resolvent operator near 
«x = 0 and an application to energy decay. 92j:35134 





601 1992 


Zheng, Jia Mao Inversion of coefficients of a wave function under nonzero initial 
conditions. (Chinese. English summary) 92i:35129 

Zhou, Jian-Xin (with Chen, Goong) The wave method for determining the asymptotic 
damping rates of eigenmodes. I. The wave equation on a rectangular or circular domain. 
92b:93068 

Zuazua, Enrike Uniform stabilization of the wave equation by nonlinear boundary 
feedback. 92¢:35021 

— see also Komornik, Vilmos, 92c:35020; Cioranescu, Doina; et al., 92e:93005; 92i:35016 and 
Bardos, Claude; et al., 92k:93100 

Zworski, Maciej Shift of the shadow boundary in high frequency scattering. 92e:58224 


35L10 General theory of second-order, hyperbolic equations 


Aleksandrovich, I. N. Construction of differential operators that determine the solution of a 
differential equation of hyperbolic type. (Russian) (see 92d:35005) 

Barbulescu, I. see Rosculet, Marcel N. 

Bochkareva, O. V. Boundary value problems that have solutions with an infinite jump on 
lines of the characteristic degeneracy of a hyperbolic equation. (Russian) (see 92f:35003) 

Bubnov, B. A. Solvability of an inverse problem for a hyperbolic equation in a class of 
functions of finite smoothness. (Russian) 92g:35118 

Bystrova, O. K. An investigation on boundary value problems for two equations of 
hyperbolic type with n lines of weak degeneracy. (Russian) (see 92d:35005) 

Chursin, V. B. see Volkodavov, V. F., (92d:35005) 

Darkhosh, Teymour Hyperbolicity of invariant wave equations. 92j:35110 

Dekhkonboev, N. I. see Radzhabov, N. R. 

Friedlander, F.G. Notes on closed billiard ball trajectories in polygonal domains. II. 
92m:35155 

Karpukhin, Yu. P. The problem A, in an unbounded domain. (Russian) 92m:35156 

Kurylév, Ya. V. Nonstationary Gaussian wave packets in highly dispersive active media. 
92b:35088 

Kuz'min, A. T. The existence of a solution of a problem for an equation of hyperbolic type 
in a four-dimensional space. (Russian) (see 92a:35004) 

Lazarenko, L. A. The problem AS? with its generalizations. (Russian) (see 92d:35005) 

Meshcherin, I. V. Solution of a problem using Volterra integral equations of the first and 
second kind. (Russian) 92j:35111 

Oganesyan, A. O. Structure of hyperbolic equations with variable coefficients that satisfy the 
Huygens principle. (Russian) 92j:35112 

— The Huygens principle for a class of hyperbolic equations with variable coefficients. 
(Russian) 92g:35119 

Radzhabov, N. R. (with Dekhkonboev, N. I.) On the theory of a class of nonmodel linear 
hyperbolic equations with two singular lines. (Russian. Tajiki summary) 

Rodionova, I. N. The A-problem for the generalized Euler-Darboux equation in the right 
half-plane. (Russian) 92m:35157 

Rogculet, Marcel N. (with Barbulescu, I.) Integral operators that generalize differential 
equations. XIV. Hyperbolic partial differential equations. (Romanian. French summary) 

— Analyticité hypérbolique. (English and Romanian summaries) [Hyperbolic analyticity] 

Sakhabieva, G. A. On an inversion formula and its application. (Russian) 92m:35158 

Shindin, I. P. The Darboux problem for an equation of hyperbolic type with transcendental 
coefficients. (Russian) (see 92d:35003) 

Volkodavov, V. F. (with Chursin, V. B.) The Riemann function for a class of hyperbolic 
equations. (Russian) (see 92d:35005) 


Items with secondary classifications in 35L10 

Arefev, V. N. On the smoothness of solutions of second-order hyperbolic equations with 
discontinuous coefficients. (Russian) 92g:35217 

Betz, Cristina (with Gzyl, Henryk) Probabilistic approach to wave propagation problems. 
IV. Reflecting boundaries. 92k:35046 

Choi, Yang Sze (with Jen, K. C.; McKenna, P. J.) The structure of the solution set for 
periodic oscillations in a suspension bridge model. 92k:73052 

Choquet-Bruhat, Yvonne (with McLenaghan, Raymond G.) Noyau de diffusion en 
coordonnées de Bondi de l’opérateur des ondes sur une variété lorentzienne. (English 
summary) [An expression for the diffusion kernel of wave operators on a 4-dimensional 
Lorentzian manifold in Bondi coordinates] 92b:58228 

Fava, Franco (with Garbiero, Sergio) The Backlund problem for the equation f(x, t)Zx. — 
Z = 0. (Italian summary) 92e:58238 

Garbiero, Sergio see Fava, Franco, 92e:58238 

Ginther, Paul Huygens’ principle and Hadamard’s conjecture. 92e:35002 

Gzyl, Henryk see Betz, Cristina, 92k:35046 

Jen, K.C. see Choi, Yung Sze; et al., 92k:73052 

Khokhlov, Yu. E. Exact solutions in a problem on Hele-Shaw flows. (Russian) 92i:35023 

Klibanov, M. V. (with Malinsky, Joseph) Newton-Kantorovich method for three- 
dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy 
problem with time-dependent data. 92k:65128 

Lions, Jacques-Louis Sentinels and stealthy perturbations. Semicomplete set of sentinels. 
924:93071 

Malinsky, Joseph see Klibanov, M. V., 92k:65128 

Markett, Clemens (with Piingel, Jiirgen; Wallner, Herbert) Multiple power series represen- 
tations for Riemann functions of selfadjoint equations. 92m:35040 

Matos, Marivaldo Pereira (with Pereira, Ducival C.) On a hyperbolic equation with strong 
damping. 92j:34117 

McKenna, P. J. see Choi, Yung Sze; et al., 92k:73052 

McLenaghan, Raymond G. see Choquet-Bruhat, Yvonne, 92b:58228 

Messano, Basilio Questions concerning functional equations of the form A(x) — A(t(x)) = 
g(x) and the Goursat problem for u,, = 0. (Italian. English summary) 92g:47094 

Pereira, Ducival C. see Matos, Marivaldo Pereira, 92j:34117 

Pingel, Jiirgen see Markett, Clemens; et al., 92m:35040 

Ralston, James V. Mixed problems since 1969. (see 92a:00036) 

Showalter, R. E. (with Walkington, Noel J.) A hyperbolic Stefan problem. 92h:35244 

Tucsnak, Marius Exact controllability for a beam subjected to a variable end thrust. (Italian 
summary) 92j:73054 


35L Partial differential equations of hyperbolic type 


35L20 


Walkington, Noel J. see Showalter, R. E., 92h:35244 

Wall, David J. N. On some differential equations arising in time domain scattering problems 
for a dissipative wave equation. 92h:45020 

Wallner, Herbert see Markett, Clemens; et al., 92m:35040 


35L15 Initial value problems for second-order, hyperbolic 
equations 


Aksen’, E.M. The quasi-inversion method for some hyperbolic equations. (Russian) 
92j:35113 

Bystrova, O. K. Construction of the Riemann function for two equations of hyperbolic type, 
and the Cauchy problem. (Russian) (see 92d:35003) 

Chabakaev, R. R. see Zhegalov, V. I., 92h:35120 

Chursin, V. B. Cauchy and Darboux problems for a hyperbolic equation of general form. 
(Russian) (see 92d:35003) 

Cicognani, Massimo The geometric optics for a class of hyperbolic second order operators 
with Hélder continuous coefficients with respect to time. 92i:35075 

He, Sailing Factorization of a dissipative wave equation and the Green functions technique 
for axially symmetric fields in a stratified slab. 92j:35114 

Kikuchi, Koji (with Tamura, Hideo) Limiting amplitude principle for acoustic propagators 
in perturbed stratified fluids. 92h:35119 

Lasiecka, Irena (with Triggiani, Roberto) Sharp regularity theory for second order 
hyperbolic equations of Neumann type. (Italian summary) 92k:35172 

Lerner, M. E. Qualitative properties of the Riemann function. (Russian) 92m:35159 

Liang, Jin (with Xiao, Ti Jun) Well-posedness of the Cauchy problem for equations of 
catalysis type and the exponential growth property of their solutions. (Chinese. English 
summary) 

Markett, Clemens Initial-boundary value problems associated with a partial differential 
equation with two singular lines. 92b:35089 

Mishnaevskii, P. A. (with Ramm, A.G.) A uniqueness theorem for a problem of Goursat- 
Darboux type. (Russian) 92m:35160 

Nishitani, Tatsuo Note on Ivrii-Petkov-Hérmander condition of hyperbolicity. 92g:35120 

Perzhan, A. V. Estimating the solutions of second-order hyperbolic equations with large 
parameters multiplying the inferior derivatives. (see 92m:49004) 

Ramm, A. G. see Mishnaevskii, P. A., 92m:35160 

Suzuki, Fukuzo Energy inequalities for a mixed problem for the wave equation in a domain 
with a corner. 92f:35095 

Tamura, Hideo see Kikuchi, Koji, 92h:35119 

Triggiani, Roberto see Lasiecka, Irena, 92k:35172 

Vagapov, V. Z. The problem A, for an equation of hyperbolic type in an unbounded domain. 
(Russian) (see 92d:35003) 

Xiao, Ti Jun see Liang, Jin; et al. 

Yashkin, V.1. see Yurchuk, N. 1., 92k:35173 

Yurchuk, N. 1. (with Yashkin, V. 1.) On the classical solution of a mixed problem for a 
three-dimensional hyperbolic equation with central symmetry. (Russian) 92k:35173 

Zhegalov, V.1. (with Chabakaev, R. R.) Nonlocal Cauchy-Goursat problem. 92h:35120 


Items with secondary classifications in 35L15 

Berest, Yu. Yu. Construction of fundamental solutions for Huygens equations as invariant 
solutions. (Russian) 92¢:35005 

Borodich, S. M. The behavior, as t — +00, of solutions of some nonautonomous equations. 
(Russian) 92f:58160 

Denisov, V. N. On the stabilization of means of the solution of the Cauchy problem for 
hyperbolic equations in symmetric spaces. (Russian) 92a:35129 

— Stabilization of the means of the solution of the Cauchy problem for hyperbolic equations. 
(Russian) 92g:35029 

Dias, Joaio-Paulo (with Figueira, Mario) The simplified Wheeler-DeWitt equation: the 
Cauchy problem and some spectral properties. (French summary) 924:83036 

Figueira, Mario see Dias, Joao-Paulo, 92d:83036 

Fraguela Collar, Andrés The limiting amplitude principle for some abstract hyperbolic 
equations in Hilbert spaces. (Spanish. English summary) 92a:35024 

— The limiting absorption principle for Schrédinger-type operators and its applications to 
the Cauchy-Poisson problem with a cylindrical bottom. (Russian) 92m:35056 

Gzyl, Henryk (with Jiménez, Rail) Probabilistic approach to wave propagation problems. 
I. 924:35017a 

Jiménez, Rail see Gzyl, Henryk, 924:35017a 

Petkov, Vesselin M. Phase de diffusion pour des perturbations captives. [Scattering phase 
for captive perturbations] 92e:35121 

Shinkai, Kenzo Stokes multipliers and a weakly hyperbolic operator. 92¢:35006 

— (with Taniguchi, Kazuo) Fundamental solution for a degenerate hyperbolic operator in 
Gevrey classes. 92m:35184 

Taniguchi, Kazuo see Shinkai, Kenzo, 92m:35184 

Werner, Peter Resonance phenomena in periodic structures. 92b:35109a 

— Resonances in periodic media. 92b:35109b 

Yang, Yisong A comparison of eigenvalues of two Sturm-Liouville problems. 92c:34033 


35L20 Boundary value problems for second-order, hyperbolic 
equations 


Aldashev, S. A. Boundary value problems for second-order multidimensional hyperbolic 
equations. (Russian) (see 92d:00011) 

— Some boundary value probl for second-order linear multidimensional hyperbolic 
equations. (Russian. Ukrainian summary) 92f:35096 

Baranovskaya, S. N. Classical solution of a mixed problem for a one-dimensional hyperbolic 
equation. (Russian) 92g:35121 

Bochkareva, O. V. Weighted boundary value problems for a hyperbolic equation. (Russian) 
(see 92d:35003) 

Cheng, Jin? (with Li, Ming Zhong) Boundary value problems for complex overdetermined 
partial differential equations of second order. (see 92a:00039) 








35L20 


Day, W. A. Inequalities associated with standing wave solutions of a hyperbolic equation. 
92e:35101 

Ezhov, A.M. Some boundary value problems in three-dimensional domains. (Russian) (see 
92a:35004) 

Fedorov, Yu. I. The problem A) for a class of hyperbolic equations. (Russian) (see 
92a:35004) 

Gzyl, Henryk Probabilistic approach to wave propagation problems. III. Brownian local 
times and waves in layered media. 92i:35076 

Kirilich, V. M. (with Myshkis, A. D.) A boundary value problem without initial conditions 
for a linear one-dimensional system of equations of hyperbolic type. (Russian. English 
summary) 

Lasiecka, Irena (with Triggiani, Roberto) Sharp regularity theory for second order 
hyperbolic equations of Neumann type. I. L2 nonhomogeneous data. 92e:35102 

Lazarenko, L.A. The problems A; and A; for a three-dimensional equation in unbounded 
characteristic layers. (Russian) (see 92a:35004) 

Li, Ming Zhong see Cheng, Jin”, (92a:00039) 

Lunardi, Alessandra Some regularity results for linear variational second-order parabolic 
equations. (see 92m:47001) 

Maksudov, R. Z. Solvability of an inverse problem for a hyperbolic equation. (Russian) (see 
92d:00011) 

Myshkis, A. D. see Kirilich, V. M. 

Nikolaev, N. Ya. see Volkodavov, V. F., (92:35003) 

Oganesyan, A. O. Generalization of the Lagnese-Stellmacher method to a class of equations 
that satisfy the Huygens principle. (Russian. English and Armenian summaries) 

Radzhabov, N. R. Linear hyperbolic equations with two super singular lines. (see 92a:00039) 

Rakesh see Ramm, A. G., 92a:35098 

Ramm, A. G. (with Rakesh) Property C and an inverse problem for a hyperbolic equation. 
92a:35098 

Robbiano, Luc Théoréme d’unicité adapté au contréle des solutions des problémes 
hyperboliques. [Uniqueness theorem adapted to the control of the solutions of hyperbolic 
problems] (see 92d:35009) 

Shevchenko, G. N. A problem with nonlocal boundary conditions and discontinuous 
conjugation conditions for a hyperbolic equation of the second kind. (Russian) (see 
92a:35004) 

Triggiani, Roberto see Lasiecka, Irena, 92e:35102 

Volkodavov, V.F. (with Nikolaev, N. Ya.) Particular solutions of an equation of hyperbolic 
type, and boundary value problems. (Russian) (see 92f:35003) 

Vostrova, L. E. A boundary value problem with a normal derivative for a general hyperbolic 
equation in a noncharacteristic three-dimensional domain. (Russian) (see 92a:35004) 


Items with secondary classifications in 35L20 


Amirov, R. Kh. A multidimensional inverse problem for a hyperbolic equation and a related 
spectral problem. (Russian) 92k:35285 

Avdonin, S. A. (with Belishev, M. I.; Ivanov, S. A.) Boundary control and an inverse matrix 
problem for the equation u,,; — ux, + V(x)u=0.(Russian) 924:35293 

Bardos, Claude Practical applications of the notions of propagation of singularities. 
92:35025 

— (with Lebeau, Gilles; Rauch, Jeffrey) Control and stabilization for hyperbolic equations. 
92:93060 

Belishev, M.I. see Avdonin, S. A.; et al., 92d:35293 

Bubnov, B. A. Necessary and sufficient conditions for solvability of an inverse problem 
for a hyperbolic equation in a class of periodic functions with respect to ft. (Russian) 
92g:35225 

— (with Kemelov, D. U.) Investigation and a numerical method for the solution of an 
inverse problem for multidimensional hyperbolic equations. (Russian) 92g:35224 

Chursin, V. B. Generalizations of the problems A; and A2. (Russian) 92m:35199 

Cioranescu, Doina (with Donato, Patrizia; Murat, Francois; Zuazua, Enrike) Homogeniza- 
tion and corrector for the wave equation in domains with small holes. 92i:35016 

Colli, Pierluigi (with Rodrigues, José-Francisco) Hyperbolic perturbation problems 
involving time derivatives on the boundary. 92a:35015 

Dawidowski, Marian Hyperbolic differential inclusions with nonconvex right hand side. 
92k:35305 

Donato, Patrizia see Cioranescu, Doina; et al., 92i:35016 

Dzheldikbaev, S.S. Integral representation of the solution of a boundary value problem for 
a hyperbolic equation in a nonclassical domain. (Russian. Kazakh summary) 

Firmani, B. Continuous dependence of the solution of a Goursat problem on the data. 
(Italian. English summary) 92m:35025 

Fraguela Collar, Andrés The limiting absorption principle for Schrédinger-type operators 
and its applications to the Cauchy-Poisson problem with a cylindrical bottom. (Russian) 
92m:35056 

Gzyl, Henryk Probabilistic approach to wave propagation problems. II. Boundary value 
problems. 92d:35017b 

Isakov, Victor An inverse hyperbolic problem with many boundary measurements. 
92i:35125 

Ivanov, S. A. see Avdonin, S. A.; et al., 92d:35293 

Jiang, Song Local energy decay for the damped plate equation in exterior domains. 
92m:35041 

Kemelov, D. U. see Bubnov, B. A., 92g:35224 

Kim, Jong Uhn Exponential decay of the energy of a one-dimensional nonhomogeneous 
medium. 92c:35010 

Kolesov, A. Yu. (with Kolesov, Yu. S.) Bifurcation of self-induced oscillations of a 
singularly perturbed wave equation. (Russian) 92e:35031 

Kolesov, Yu. S. see Kolesov, A. Yu., 92e:35031 

Kopaneva, V.I. An overdetermined problem for a differential equation in a Hilbert space. 
(Russian) 92¢:34075 

Lasiecka, Irena (with Triggiani, Roberto) Sharp regularity theory for second order 
hyperbolic equations of Neumann type. (Italian summary) 92k:35172 

Lebeau, Gilles see Bardos, Claude; et al., 92f:93060 

Letavin, M. I. On the well-posedness of a one-dimensional single-phase hyperbolic Stefan 
problem. (Russian) 92g:35243 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 602 


Maksudov, R. Z. Necessary and sufficient conditions for the solvability of a multidimen- 
sional inverse problem for a hyperbolic equation. (Russian) 92g:35226 

Mohamed, Fouad A. Recovery of an unknown function in hyperbolic problems with 
standard and nonstandard boundary data. 92g:35235 

Motai, Takahiro Asymptotic behavior of solutions to the Klein-Gordon equation with a 
nonlinear dissipative term. 924:35049 

Murat, Francois see Cioranescu, Doina; et al., 92i:35016 

Nikolaev, N. Ya. see Volkodavov, V. F., 92b:35128 

Orochko, Yu. B. Spectral representation of a hyperbolic evolution process that is connected 
with the Sturm-Liouville differential expression. (Russian) 92d:47058 

Rauch, Jeffrey see Bardos, Claude; et al., 92f:93060 

Rodrigues, José-Francisco see Colli, Pierluigi, 92a:35015 

Tanaguzov, B. T. An inverse problem for a hyperbolic equation. (Russian) (see 92e:35003) 

Triggiani, Roberto see Lasiecka, Irena, 92k:35172 

Vagapov, V. Z. The problems A, and A; for the Euler-Darboux equation in rectangular 
bounded domains. (Russian) 92m:35200 

Vainberg, B. R. Scattering by periodically moving obstacles. (Russian) 92h:35175 

Vidossich, Giovanni Periodic solutions of hyperbolic equations using ordinary differential 
equations. 92g:35022 

Volkodavov, V. F. (with Nikolaev, N. Ya.) Boundary value probl 
equation. (Russian) 92b:35128 

Walczak, S. Optimality conditions for a Bolza problem governed by a hyperbolic system of 
Darboux-Goursat type. 92c:49015 

Zheng, Song Mu Extinction properties of solutions to hyperbolic equations. 924:35035 

Zuazua, Enrike see Cioranescu, Doina; et al., 92i:35016 





for the Klein-Gordon 


35L25 General theory of higher-order, hyperbolic equations 


Altin, Abdullah Hobson’s theorem for ultrahyperbolic operators. 92k:35174 

Dobrokhotov, S. Yu. (with Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A.I.) Asymptotic 
rapidly decreasing solutions of linear strictly hyperbolic systems with variable coefficients. 
(Russian) 92d:35172 

Efendiev, M. I. Strictly hyperbolic higher-order equations in L?(R") spaces, 1 < p < +00. 
(Russian) 92¢:35071 

Maslov, V. P. see Dobrokhotov, S. Yu.; et al., 92d:35172 

Michalski, Marek W. n-dimensional characteristic problem for the Mangeron equation of 
noninteger order. 92j:35115 

Shafarevich, A. I. see Dobrokhotov, S. Yu.; et al., 92d:35172 

Shishkov, A. E. (with Sleptsova, I. P.) Classes of uniqueness and solvability of mixed 
problems for some evolution equations in unbounded domains. (Russian) 92m:35161 

Sleptsova, I. P. see Shishkov, A. E., 92m:35161 

Zhevandrov, P. N. see Dobrokhotov, S. Yu.; et al., 92d:35172 


Items with secondary classifications in 35L25 

Borzymowski, Andrzej A contribution to the study of Mangeron polyvibrating equations. 
(French summary) 92h:35044 

Kolesnik, A. D. Lie symmetries of the equation of Markov random evolution in the plane. 
(Russian) 92k:35304 

Pedersen, Michael Pseudodifferential perturbations and stabilization of distributed 
parameter systems: Dirichlet feedback control problems. 92b:93071 

Petrini, M. (with Sordoni, V.) Propagation of singularities for a class of hyperbolic 
operators with triple characteristics. 92f:35013 

Pickett, Douglas Scattering theory for hyperbolic equations of order 2m. 92m:47016 

(Pontecorvo, G.) see Zakhar’ev, B. N., 92d:81142 

Robbiano, Luc Théoréme d’unicité adapté au contrdéle des solutions des problémes 
hyperboliques. [A uniqueness theorem adapted to the control of solutions of hyperbolic 
problems] 92j:35002 

Sogge, Christopher D. Uniqueness in Cauchy problems for hyperbolic differential operators. 
92m:35006 

Sordoni, V. see Petrini, M., 92f:35013 

Suz‘ko, A. A. see Zakhar'ev, B. N., 92d:81142 

Yamamoto, Kazuhiro Scattering theory and spectral representations for general wave 
equations with short range perturbations. 92j:35144 

Zakhar'ev, B. N. (with Suz’ko, A. A.) * Direct and inverse problems. 924:81142 


35L30 Initial value problems for higher-order, hyperbolic 
equations 


Aleksandrovich, I. N. (with Zrazhevskaya, V. F.) The Cauchy problem and the characteris- 
tic problem for a class of higher-order, linear hyperbolic equations. (Russian. English sum- 
mary) 92:35097 

Chen, Hua! Well-posedness of Gevrey classes of the Cauchy problem for a class of totally 
characteristic hyperbolic operators with characteristic of constant multiplicity. (Chinese) 
92m:35162 

Korzyuk, V.I. (with Yurchuk, N. I.) The Cauchy problem for third-order hyperbolic 
operator-differential equations. (Russian) 92i:35077 

Yurehuk, N. I. see Korzyuk, V. I., 92i:35077 

Zrazhevskaya, V.F. see Aleksandrovich, I. N., 92f:35097 


Items with secondary classifications in 35L30 
Varlamov, V. V. On a hyperbolic equation of high order in a Banach space. 92j:34118 


35L35 Boundary value problems for higher-order, hyperbolic 
equations 


D’Acunto, Berardino (with D’Anna, A.) Existence, uniqueness and stability for a semi- 
linear equation of the viscoelasticity. (Italian summary) 92g:35122 

D’Anna, A. see D’Acunto, Berardino, 92g:35122 

Korzyuk, V. I. An energy inequality for a boundary value problem for a third-order 
hyperbolic equation with a wave operator. (Russian) 92g:35123 





603 1992 


Lavrenyuk, S. P. A mixed problem for an equation of plate-oscillation type that is 
degenerate at a finite moment of time. (Russian) 92k:35175 

Mukhyev, B. A boundary value problem for a third-order equation of hyperbolic type. 
(Russian) (see 92d:00011) 

Varlamov, V. V. On a hyperbolic equation that describes wave processes in media with 
dispersion and absorption. (Russian) 92h:35121 


Items with secondary classifications in 35L35 


Chalabi, Abdallah Analyse de schémas décentrés pour des lois de conservation bidimen- 
sionnelles non homogeénes. (English summary) [Analysis of upwind schemes of two- 
dimensional nonhomogeneous conservation laws] 92c¢:65103 

Kataoka, Kiyémi (with Tose, Nobuyuki) On microhyperbolic mixed problems. 92b:35010 

Tose, Nobuyuki see Kataoka, Kiyémi, 92b:35010 


35L40 General theory of hyperbolic systems of first-order PDE 


Agoshkov, V. I. %& Heo6xoquMbie # OcTaTOYHbIe YCMOBHA Pa3pellIMMOCTH HEKOTOPBIX 3a1a4 
uid ranepG6ommyeckHX ypaBHeHHA Nepsoro nopayKka. (Russian) [Necessary and sufficient 
conditions for the solvability of some problems for first-order hyperbolic equations] 
92h:35122 

Arosio, A. (with Garavaldi, S.) On the mildly degenerate Kirchhoff string. 92c:35072 

Bakkaloglu, A. see Suhubi, Erdogan S., 92k:35177 

Bampi, F. (with Zordan, C.) Evanescent waves and dissipative systems. (see 92k:35002) 

Bernardi, Enrico (with Nishitani, Tatsuo) Remarks on symmetrization of 2 x 2 systems and 
the characteristic manifolds. 92k:35176 

Boffi, V.C. (with Caraffini, G. L.) On a 3 x 3 semilinear hyperbolic system arising in 
extended kinetic theory. 92g:35124 

Brio, M. (with Hunter, John K.) Nonlinear transverse waves in an isotropic medium. 
92b:35090 

Caraffini, G. L. see Boffi, V. C., 92g:35124 

Ceppitelli, Rita (with Villarini, Massimo) Error bounds for solutions of systems of quasi 
linear hyperbolic partial differential equations in diagonal form. 924:35173 

Chen, Yu Pin The global behavior of nonlinear population evolution equations. (Chinese. 
English summary) 92a:35099 

Craik, A. D. D. (with Nagata, Masato; Moroz, Irene M.) Second-harmonic resonance in 
nonconservative systems. 92m:35163 

Donato, Andrea Nonlinear waves. 92h:35123 

Frid Neto, Hermano On a nonlinear hyperbolic problem arising in two-phase flows in 
naturally fractured reservoirs. 92m:35164 

Garavaldi, S. see Arosio, A., 92¢:35072 

Gourdin, Daniel Systemes faiblement hyperboliques non linéaires. (English summary) 
[Nonlinear weakly hyperbolic systems] 92f:35098 

He, Yuanping (with Moodie, T. B.) The signaling problem in nonlinear hyperbolic wave 
theory. 92j:35116 

Hu, Jia Xin (with Wang, Jing Hua) The Cauchy problem for a special system of quasilinear 
equations. 92d:35174 

Hunter, John K. Interacting weakly nonlinear hyperbolic and dispersive waves. 92e:35103 

— see also Brio, M., 92b:35090 

Iskenderov, N. Sh. The scattering problem for a system of n first-order hyperbolic equations 
on the semiaxis with given scattered waves. (Russian) (see 92d:00014) 

Joly, Jean-Luc (with Métivier, Guy; Rauch, Jeffrey) Rigorous resonant 1-d nonlinear 
geometric optics. 92e:35104 

— (with Métivier, Guy; Rauch, Jeffrey) Remarques sur l’optique géométrique non linéaire 
multidimensionnelle. [Remarks on multidimensional nonlinear geometric optics] (see 
92£:35007) 

Métivier, Guy see Joly, Jean-Luc; et al., 92e:35104 and (92£:35007) 

Mizohata, Sigeru On hyperbolic matrices. 92f:35099 

Moodie, T. B. see He, Yuanping, 92j:35116 

Morawetz, Cathleen S. An alternative proof of DiPerna’s theorem. 92m:35165 

Moroz, Irene M. see Craik, A. D. D.; et al., 92m:35163 

Nadir, B. (with Varenne, J.-P.) Régularité conormale classique des problémes de Cauchy et 
de réflexion transverse pour un systéme 2 x 2 semi-linéaire. (English summary) [Classical 
conormal regularity of the Cauchy and transverse reflection problems for a semilinear 
2 x 2 system] 92m:35166 

Nagata, Masato see Craik, A. D. D.; et al., 92m:35163 

Nishitani, Tatsuo see Bernardi, Enrico, 92k:35176 

Odulo, Anatoly A method of obtaining exact particular solutions of a system of two first- 
order quasilinear partial differential equations. 924:35175 

Pu, De Qian Function-theoretic process of hyperbolic equations. (see 92a:00039) 

Qin, Tie Hu Classical solutions of boundary value problems of Carleman equation. 
92a:35100 

Rauch, Jeffrey see Joly, Jean-Luc; et al., 92e:35104 and (92f:35007) 

Sainsaulieu, Lionel Ondes progressives solutions de systémes convectifs-diffusifs et systemes 
hyperboliques non conservatifs. (English summary) [Travelling-wave solutions of 
convective-diffusive systems and nonconservative hyperbolic systems] 92d:35176 

Serre, Denis Richness and the classification of quasilinear hyperbolic systems. 92a:35101 

Suhubi, Erdogan S. (with Bakkaloglu, A.) Group properties and similarity solutions for a 
quasi-linear wave equation in the plane. 92k:35177 

Tippett, Michael K. (with Ziolkowski, Richard W.) A bidirectional wave transformation of 
the cold plasma equations. 92h:35124 

Tsegel/nik, V. V. A class of self-similar solutions of systems of three-wave interaction. 
(Russian. English summary) 92a:35102 

Vaillant, Jean Léon Conditions d’hyperbolicité des systémes. (English summary) [Hyperbol- 
icity conditions for systems of linear partial differential operators] 92h:35125 

Varenne, J.-P. see Nadir, B., 92m:35166 

Villarini, Massimo see Ceppitelli, Rita, 92d:35173 

Wang, Jing Hua see Hu, Jia Xin; et al., 924:35174 

Wa, Zi Qian! (with Xuan, Qi Wo; Zhu, Dao Yuan) The system of the functional equations 
and the fourth problem of the hyperbolic system. 

Xuan, Qi Wo see Wu, Zi Qian’; et al. 


35L Partial differential equations of hyperbolic type 


Zhu, Dao Yuan see Wu, Zi Qian; et al. 
Ziolkowski, Richard W. see Tippett, Michael K., 92h:35124 
Zerdan, C. see Bampi, F., (92k:35002) 


Items with secondary classifications in 35L40 


Aubin, Jean-Pierre (with Frankowska, Halina) Syst¢mes hyperboliques d’inclusions 
aux dérivées partielles. (English summary) [Hyperbolic systems of partial differential 
inclusions] 92a:35171 

Besala, Piotr Observations on quasi-linear partial differential equations. 92f:35139 

Bressan, A., Jr. Blowup asymptotics for the reactive-Euler gas model. 92j:35017 

Burnat, Marek On the qualitative and Fourier analysis for quasilinear autonomous 
hyperbolic systems. (see 92a:00036) 

Cardin, F. (with Zanzotto, G.) On continuum theories involving quasilinear first order 
nonconservative systems with involutions and a supplementary inequality. 92f:73012 

Fokas, Athanassios S. see Sung, Li-Yeng, 924:34157 

Frankowska, Halina see Aubin, Jean-Pierre, 92a:35171 

Fritsche, Michael Two-dimensional Runge-Kutta methods. (see 92a:00036) 

Fusco, D. (with Manganaro, N.) A class of linearizable models and generation of material 
response functions to nonlinear hyperbolic heat conduction. 92k:80007 

Gorman, Arthur D. On caustics associated with hyperbolic systems. 92m:58136 

Joly, Jean-Luc (with Rauch, Jeffrey) Justification of multidimensional single phase 
semilinear geometric optics. 92f:35040 

Kadykenov, B. M. see Kasymov, K. A., 92h:35016 

Kasymov, K. A. (with Kadykenov, B. M.) Estimates for solutions of a boundary value 
problem for systems of linear hyperbolic equations with a small parameter. (Russian. 
English and Kazakh summaries) 92h:35016 

Kreiss, Heinz-Otto Well posed hyperbolic initial-boundary value problems and stable 
difference approximations. (see 92a:00036) 

Krylov, A. V. Averaging of weakly nonlinear hyperbolic systems with a nonuniform integral 
mean. (Russian. Ukrainian summary) 924:35029 

Kulikovskii, A.G. (with Pekurovskaya, L. A.) Longitudinal waves in an elastic medium 
with piecewise linear dependence of the stress on deformation. (Russian) 92b:73014 

Manganaro, N. see Fusco, D., 92k:80007 

Métivier, Guy Ondes soniques. [Sound waves] 92g:35045 

Oliveri, Francesco (with Vermiglio,G.) Waves and stability analysis for a hyperbolic model 
describing nerve pulse in neurons. 92e:92008 

Pekurovskaya, L. A. see Kulikovskii, A. G., 92b:73014 

Rauch, Jeffrey see Joly, Jean-Luc, 92f:35040 

Rodionov, I. D. (with Solomatin, E. B.) Algorithms for calculating bound states for the 
Schrédinger equation with a parameter. (Russian. English summary) 92f:81012 

Schatzman, Michelle Postprocessing of dispersive approximations to a hyperbolic problem. 
92b:35023 

Solomatin, E. B. see Rodionov, I. D., 92f:81012 

Sung, Li-Yeng (with Fokas, Athanassios S.) Inverse problem for N x N hyperbolic systems 
on the plane and the N-wave interactions. 924:34157 

Vermiglio, G. see Oliveri, Francesco, 92e:92008 

Zanzotto, G. see Cardin, F., 92f:73012 

Ziéiko, Mariusz Stability of wave propagation and boundary reflections. (see 92a:65021) 


35L45 Initial value problems for hyperbolic systems of first-order 
PDE 


Forestier, Alain (with Le Floch, Philippe) Multivalued solutions to some nonlinear and 
non-strictly hyperbolic systems. 92m:35167 

Le Floch, Philippe see Forestier, Alain, 92m:35167 

Lin, Long Wei Existence and nonexistence of global continuous solutions of Riemann 
problem for quasilinear hyperbolic systems. 92b:35091 

Roitberg, Ya. A. Boundary and mixed problems for general hyperbolic systems in a complete 
scale of spaces of Sobolev type. (Russian) 92h:35126 

Serre, Denis Quelques méthodes d’étude de la propagation d’oscillations hyperboliques 
non linéaires. [Some methods for studying the propagation of nonlinear hyperbolic 
oscillations] 92k:35178 

Shabakaev, R. R. A nonlocal problem of Cauchy-Goursat type for a first-order hyperbolic 
system. (Russian) (see 92d:00011) 

Zadrzytiska, Ewa Noncharacteristic mixed problems for hyperbolic systems of the first 
order. 92i:35078 


Items with secondary classifications in 35L45 

Bernardi, Enrico (with Nishitani, Tatsuo) Remarks on symmetrization of 2 x 2 systems and 
the characteristic manifolds. 92k:35176 

Bony, Jean-Michel Probléme de Cauchy et diffusion 4 données petites pour les modéles 
discrets de la cinétique des gaz. [Cauchy problem and diffusion with small data for 
discrete models of gas kinetics] 92d:82081 

Dafermos, C. M. (with Geng, Xiao) Generalized characteristics uniqueness and regularity 
of solutions in a hyperbolic system of conservation laws. (French summary) 92h:35135 

Geng, Xiao see Dafermos, C. M., 92h:35135 

Lafon, F. (with Oberguggenberger, Michael) Generalized solutions to symmetric hyperbolic 
systems with discontinuous coefficients: the multidimensional case. 92h:35039 

Nishitani, Tatsuo see Bernardi, Enrico, 92k:35176 

Oberguggenberger, Michael see Lafon, F., 92h:35039 

Perthame, Benoit Remarques sur la formulation cinétique des lois de conservation scalaires. 
[Remarks on the kinetic formulation of scalar conservation laws] 92j:35120 

Pilz, Lothar Mathematical modelling of the life cycle in cell populations. 92e:92020 

Shu, Wei-Tong Asymptotic properties of the solutions of linear and nonlinear spin field 
equations in Minkowski space. 92m:58138 

Slemrod, Marshall Large time behavior of the Broadwell model of a discrete velocity gas 
with specularly reflective boundary conditions. 92b:82104 

Suzuki, Fukuzo Energy inequalities for a mixed problem for the wave equation in a domain 
with a corner. 92f:35095 





35L50 


35L50 Boundary value problems for hyperbolic systems of first- 
order PDE 


Dzhuraev, A. D. Some mixed problems for first-order hyperbolic systems. (Russian) 
92i:35079 

Gol/dberg, V. N. On the well-posedness of mixed problems for almost linear hyperbolic 
systems with two independent variables in the class of discontinuous solutions. (Russian) 
92d:35177 

Huang, Ying Nonlocal initial-boundary value problems for quasilinear hyperbolic systems 
of equations. (Chinese) 92i:35080 

Jacovkis, Pablo M. One-dimensional hydrodynamic flow in complex networks and some 
generalizations. 92d:35178 

Makarenko, A.S. Justification of the computation of the peaking time in problems with 
nonsmooth solutions. (Russian) 92m:35168 

Ohno, Mayumi (with Shizuta, Yasushi; Yanagisawa, Taku) The initial-boundary value 
problems for linear symmetric hyperbolic systems with characteristic boundary. 
92g:35125 

Shizuta, Yasushi see Ohno, Mayumi; et al., 92g:35125 

Vagabov, A. I. Conditions for the well-posedness of two-dimensional mixed problems for 
hyperbolic systems. (Russian) 92a:35103 

Yanagisawa, Taku see Ohno, Mayumi; et al., 92g:35125 





Items with secondary classifications in 35L50 

Belinskii, S. P. An existence theorem for the solution of an inverse problem for a hyperbolic 
system of first-order equations. (Russian) 92c:35121 

Bernardi, Enrico (with Nishitani, Tatsuo) Remarks on symmetrization of 2 x 2 systems and 
the characteristic manifolds. 92k:35176 

Capodanno, Pierre Une note sur !’effet d’une cavité d’air sur les vibrations d’une membrane 
de tambour. [A note on the effect of an air cavity on the vibrations of a drum membrane] 
92i:76084 

Cztapitiski, Tomasz A boundary value problem for quasilinear hyperbolic systems of partial 
differential-functional equations of the first order. (Italian summary) 92h:35229 

Das, Purna C. see Kumar, Rajiv, 92a:47042 

Goldberg, Moshe Simple stability criteria for difference approximations of hyperbolic 
initial-boundary value problems. II. (see 92a:00036) 

Kumar, Rajiv (with Das, Purna CC.) Perturbation of linear m-accretive operators in Hilbert 
spaces. 92a:47042 

Li, Da Qian (with Zhao, Yan Chun) Global classical solutions to typical free-boundary 
problems for quasilinear hyperbolic systems. 92g:35244 

Nishitani, Tatsuo see Bernardi, Enrico, 92k:35176 

Roitberg, Ya. A. Boundary and mixed problems for general hyperbolic systems in a complete 
scale of spaces of Sobolev type. (Russian) 92h:35126 

Zadrzytiska, Ewa Noncharacteristic mixed problems for hyperbolic systems of the first 
order. 92i:35078 

Zajaczkowski, Wojciech M. A priori estimates for solutions to noncharacteristic mixed 
problems to nonlinear symmetric hyperbolic systems of the first order with dissipation. 
(Russian summary) 924d:35051 

Zhao, Yan Chun see Li, Da Qian; et al., 92g:35244 

Zheng, Song Mu Extinction properties of solutions to hyperbolic equations. 924:35035 


35L55 Hyperbolic systems of higher-order PDE 


Borzymowski, Andrzej (with Dalla, Zawam A.) A boundary value problem for a system of 
hyperbolic partial differential equations in R”. 92d:35179 

Citrini, Claudio (with D’Acunto, Berardino) A remark on the impact of two vibrating 
strings. 92h:35127 

D’Acunto, Berardino see Citrini, Claudio, 92h:35127 

Dalla, Zawam A. see Borzymowski, Andrzej, 924:35179 

Ferapontov, E. V. * [Ipeo6pa3osanua Boxnynaa runep6ommueckux cuctem qudbep- 
CHIMAJIbHBIX ypaBHeHHit. (Russian) [Backlund transformations of hyperbolic systems of 
differential equations] 92a:35104 

Ganiev,S.S. see Radzhabov, N. R. 

Gawinecki, Jerzy L’-L‘%-time decay estimate for solution of the Cauchy problem for 
hyperbolic partial differential equations of linear thermoelasticity. 92d:35180 

Kovalyov, M. Resonance-type phenomena in nonlinear waves. 92b:35092 

Malovichko, V. A. Boundary value problems for higher-order hyperbolic systems. (Russian) 
925:35117 

Men’'shikh, O. F. The Cauchy problem for a class of systems of quasilinear hyperbolic 
equations. (Russian) 92¢:35073 

Mitropol’skii, Yu. A. (with Urmancheva, L. B.) The two-point problem for systems of 
hyperbolic equations. (Russian. Ukrainian summary) 924:35181 

Pavel, Paraschiva Sur un systéme d’équations aux dérivées partielles. [On a system of partial 
differential equations] 92g:35126 

Radzhabov, N. R. (with Ganiev, S.S.) A method for solving a fourth-order nonmodel 
hyperbolic equation with a singular line. (Russian. Tajiki summary) 

Roitberg, Ya. A. The Cauchy problem for general hyperbolic systems in a complete scale of 
Sobolev-type spaces. (Russian) 92a:35105 

Shibata, Yoshihiro (with Zheng, Song Mu) On some nonlinear hyperbolic systems with 
damping boundary conditions. 92h:35128 

Tang, Xian Jiang On the mixed boundary value problems for weakly hyperbolic equations 
of second order. (Chinese summary) 92e:35105 

Tunitskii, D. V. Nonlinear hyperbolic systems with two independent variables. (Russian) 
92g:35127 

Urmancheva, L. B. see Mitropol’skii, Yu. A., 92d:35181 

Vassiliou, P. J. Geometry and the method of Darboux. 92g:35128 

Vieira, Maria Cristina de Campos Hidden regularity for a coupled system of nonlinear 
hyperbolic equations. 92j:35118 

Wa, Zi Qian’ (with Xuan, Qi Wo) A boundary value problem for a hyperbolic system 
of equations in a region with boundary having characteristic slope. (Chinese. English 
summary) 92¢:35074 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 604 


— (with Xuan, Qi Wo; Zhu, Dao Yuan; Zhong, Ju Kang) Discrete phenomena of unique 
solvability of characteristic problems for plane hyperbolic systems of equations. II. 
(Chinese. English summary) 924:35182 

Xu, Hai Xiang Existence and blow-up of global weak solutions to systems of hyperlinear 
evolution equations. (Chinese. English summary) 92k:35179 

Xuan, Qi Wo see Wu, Zi Qian’; et al., 92c:35074 and 924:35182 

Zheng, Song Mu see Shibata, Yoshihiro, 92h:35128 

Zhong, Ju Kang see Wu, Zi Qian'; et al., 92d:35182 

Zhu, Dao Yuan see Wu, Zi Qian’; et al., 92d:35182 


Items with secondary classifications in 35L55 

Baker, Greg Singularities in the complex physical plane. (see 92a:00036) 

Dobrokhotov, S. Yu. (with Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A. I.) Asymptotic 
rapidly decreasing solutions of linear strictly hyperbolic systems with variable coefficients. 
(Russian) 92d:35172 

Han, Wei Min Notes on: “A separation of the variables method for solving coupled systems 
of second-order partial differential equations: exact, approximate solutions and error 
bounds” [J. Comput. Appl. Math. 31 (1990), no. 2, 243-251; MR 91f:35013] by L. Jodar. 

Hughes, David W. (with Proctor, Michael R. E.) Chaos and the effect of noise in a model of 
three-wave model coupling. 92i:58117 

(Jédar, Lucas) see Han, Wei Min 

Kadirov, G. M. Integral representations of a system of differential equations of hyperbolic 
type. (Russian) (see 92d:35003) 

Kurusa, A. A characterization of the Radon transform’s range by a system of PDEs. 
92k:44002 

Maslov, V. P. see Dobrokhotov, S. Yu.; et al., 92d:35172 

Men’shikh, O. F. The Cauchy problem and boundary value problems for a class of systems 
of quasilinear hyperbolic equations. (Russian) 92i:35087 

Picard, Rainer H. Asymptotic partition of energy for abstract uniformly propagative 
systems. 92a:47049 

Proctor, Michael R. E. see Hughes, David W., 92i:58117 

Rogowski, Andrzej Necessary conditions for optimality in problems with hyperbolic partial 
differential equations. 92e:35007 

Rozendorn, E. R. Networks of lines that depend on a parameter, and sufficient conditions 
for their convergence. (Russian) 92h:53015 

Sabitov, K. B. Maximum modulus principles for some classes of second-order elliptic and 
hyperbolic systems. (Russian) 92a:35030 

Schmidt, E. J. P. Georg On the modelling and exact controllability of networks of vibrating 
strings. 92m:73094 

Serre, Denis Richness and the classification of quasilinear hyperbolic systems. 92a:35101 

Shafarevich, A. I. see Dobrokhotov, S. Yu.; et al., 924:35172 

Xu, Hai Xiang The blow-up property of initial-boundary value problems for variational flow 
systems of equations. (Chinese. English summary) 92m:35018 

Zhevandrov, P. N. see Dobrokhotov, S. Yu.; et al., 92d:35172 


35L60 Nonlinear first-order PDE of hyperbolic type 


Abasov, M. T. (with Rasulov, M. A.; Ibragimov, T. M.; Ragimova, T. A.) A method for 
solving the Cauchy problem for a first-order nonlinear equation of hyperbolic type with 
a smooth initial condition. (Russian) 92f:35100 

E, Wei Nan (with Kohn, Robert V.) The initial value problem for measure-valued solutions 
of a canonical 2 x 2 system with linearly degenerate fields. 92h:35129 

Grundland, Alfred M. (with Lawruk, Bohdan) The Lagrange-Riemann method for 
integration of quasilinear partial differential equations. 92d:35183 

Heibig, Arnaud Unicité des solutions du probleme de Riemann. (English summary) 
[Uniqueness of solutions of the Riemann problem] 92h:35130 

Ibragimov, T. M. see Abasov, M. T.; et al., 92f:35100 

Joly, Jean-Luc (with Rauch, Jeffrey) Nonlinear resonance can create dense oscillations. 
92k:35180 

Kohn, Robert V. see E, Wei Nan, 92h:35129 

Lawruk, Bohdan see Grundland, Alfred M., 924:35183 

Lin, Pei Xiong Young measures and an application of compensated compactness to one- 
dimensional nonlinear elastodynamics. 92e:35106 

Liu, Fa Gui Existence and nonexistence of global solutions to the Cauchy problem for 
quasilinear hyperbolic equations with dissipative terms. (Chinese. English summary) 
92g:35129 

Ragimova, T. A. see Abasov, M. T.; et al., 92f:35100 

Rasulov, M. A. see Abasov, M. T.; et al., 92f:35100 

Rauch, Jeffrey see Joly, Jean-Luc, 92k:35180 

Seleznev, S. G. see Shutyaev, V. P., 92h:35131 and 92h:35132 

Shabakaev, R. R. A nonlocal boundary value problem for a hyperbolic system. (Russian) 
(see 92e:00010) 

Shemetov, N. V. The Stefan problem for a hyperbolic heat equation. 924:35184 

Shutyaev, V. P. (with Seleznev, S.G.) * Kaasununetinpie nuddbepenManbHble ypaBHeHHA B 
YaCTHBIX NPOH3BOAHBIX H MX MPHOKeHHA B 3aayax MaTeMaTHYeCcKON dusuKu. (Russian) 
[Quasilinear partial differential equations and their applications in problems of 
mathematical physics] 92h:35131 

— (with Seleznev, S. G.) * CompsxeHHbIe ypaBHeHHA M aJITOpHTMbI BOSMYLICHHA AA 
KBa3HJIMHCMHOTO ypaBHeHHA ABHKeHHA. (Russian) [Conjugate equations and perturbation 
algorithms for a quasilinear equation of motion] 92h:35132 

— Properties of solutions of a conjugate equation in a nonlinear hyperbolic problem. 
(Russian) (see 92m:00024) 

— On a justification of a perturbation algorithm in a nonlinear hyperbolic problem. 
(Russian) 92h:35133 

— An algorithm for computing functionals for a class of nonlinear problems using the 
conjugate equation. 92h:35134 

Tertikas, Achilles Global bifurcation of positive solutions in R”. (see 92m:35003) 

Toparkus, H. Zur Lésung des charakteristischen Anfangswertproblems bei hyperbolischen 
Systemen erster Ordnung im skal li Fall. (English, Russian and Georgian 








605 1992 


summaries) [On the solution of the characteristic initial value problem in first-order 
hyperbolic systems in the scalar linear case] 

Yu, Yue Nian Reflection of progressing waves for quasilinear hyperbolic systems. 
924:35185 


Items with secondary classifications in 35L60 

Boffi, V.C. (with Caraffini, G. L.) Ona 3 x 3 semilinear hyperbolic system arising in 
extended kinetic theory. 92g:35124 

Bressan, A., Jr. Blowup asymptotics for the reactive-Euler gas model. 92j:35017 

Caflisch, Russel E. Singularity formation for vortex sheets and hyperbolic equations. 
92¢:76015 

Caraffini, G. L. see Boffi, V. C., 92g:35124 

Donato, Andrea Nonlinear waves. 92h:35123 

Goldberg, V. N. On the well-posedness of mixed problems for almost linear hyperbolic 
systems with two independent variables in the class of discontinuous solutions. (Russian) 
924:35177 

Huang, Ying Nonlocal initial-boundary value problems for quasilinear hyperbolic systems 
of equations. (Chinese) 92i:35080 

Joly, Jean-Luc (with Rauch, Jeffrey) Justification of multidimensional single phase 
semilinear geometric optics. 92f:35040 

Krylov, A. V. Averaging of weakly nonlinear hyperbolic systems with a nonuniform integral 
mean. (Russian. Ukrainian summary) 924:35029 

Li, Da Qian (with Zhao, Yan Chun) Global classical solutions to typical free-boundary 
problems for quasilinear hyperbolic systems. 92g:35244 

Lin, Long Wei Existence and nonexistence of global continuous solutions of Riemann 
problem for quasilinear hyperbolic systems. 92b:35091 

Lions, Pierre-Louis (with Perthame, Benoit) Propagation of moments and regularity for the 
3-dimensional Vlasov-Poisson system. (French summary) 92¢:35160 

Moroganu, G. (with Petrovanu, Dan) Time periodic solutions for a class of hyperbolic 
partial differential systems. 92¢:35012 

Perthame, Benoit see Lions, Pierre-Louis, 92e:35160 

Petrovanu, Dan see Morosanu, G., 92c:35012 

Rauch, Jeffrey see Joly, Jean-Luc, 92f:35040 

Shutyaev, V. P. On the perturbation method for a first-order weakly nonlinear hyperbolic 
problem. (Russian) 

Turo, Jan Global solvability of the mixed problem for first order functional partial 
differential equations. 92b:35164 

Zadrzytiska, Ewa Noncharacteristic mixed problems for hyperbolic systems of the first 
order. 92i:35078 

Zajaczkowski, Wojciech M. A priori estimates for solutions to noncharacteristic mixed 
problems to nonlinear symmetric hyperbolic systems of the first order with dissipation. 
(Russian summary) 924:35051 

Zhao, Yan Chun see Li, Da Qian; et al., 92g:35244 


35L65 Conservation laws 


Backer, Manfred (with Dressler, Klaus) A kinetic method for strictly nonlinear conserva- 
tion laws. 92f:35101 

Bézard, Max Probléme de Riemann généralisé pour un systéme de lois de conservation 
vraiment non linéaire multidimensionnel. [Generalized Riemann problem for a 
multidimensional truly nonlinear system of conservation laws] (see 91e:35005) 

Boillat, Guy Expression explicite des chocs caractéristiques de croisement. (English 
summary) [Explicit form of the characteristic shocks of crossing eigenvalues] 92b:35093 

Boing, H. (with Werner, K.-D.) The geometrical shock correction method for constructing 
the entropy solution of hyperbolic conservation laws. (see 92a:00036) 

Canon, Eric (with James, Francois) Resolution of the Cauchy problem for non-strictly 
hyperbolic systems arising in chemical engineering. (see 92a:00036) 

— (with James, Francois) Resolution of the Cauchy problem for several hyperbolic systems 
arising in chemical engineering. (French summary) 92m:35169 

Chen, Gui Qiang Hyperbolic systems of conservation laws with a symmetry. 92g:35130 

Chen, Shu Xing Interaction of strong and weak singularities for hyperbolic systems of 
conservation laws in multidimensional space. 92a:35106 

Chern, I-Liang Multiple-mode diffusion waves for viscous non-strictly hyperbolic conserva- 
tion laws. 92e:35107 

Dafermos, C. M. (with Geng, Xiao) Generalized characteristics uniqueness and regularity 
of solutions in a hyperbolic system of conservation laws. (French summary) 92h:35135 

Datti, P.S. (with Joseph, K. T.; Vanninathan, M.) Geometrical optics approximation for 
general scalar conservation laws. 92c:35075 

Demengel, Francoise (with Serre, Denis) Nonvanishing singular parts of measure valued 
solutions for scalar hyperbolic equations. 924:35186 

Dressler, Klaus see Backer, Manfred, 92f:35101 

E, Wei Nan (with Serre, Denis) Correctors for the homogenization of conservation laws 
with oscillatory forcing terms. 92m:35170 

Engquist, Bjorn E. see Sjégreen, Bjérn, 92b:35095 

Fan, Haitao The uniqueness and stability of the solution of the Riemann problem of a 
system of conservation laws of mixed type. 92m:35171 

Freistihler, Heinrich Instability of vanishing viscosity approximation to hyperbolic systems 
of conservation laws with rotational invariance. 92d:35187 

— Linear degeneracy and shock waves. 92¢:35108 

Geng, Xiao see Dafermos, C. M., 92h:35135 

Gimse, Tore (with Risebro, Nils Henrik) Riemann problems with a discontinuous flux 
function. 92b:35094 

Glimm, James Nonlinear and stochastic phenomena: the grand challenge for partial 
differential equations. 92i:35081 

Greenberg, J. M. (with Rascle, Michel) Time-periodic solutions to systems of conservation 
laws. 92j:35119 

Heibig, Arnaud Régularité des solutions du probleme de Riemann. (English summary) 
[Smoothness of solutions of the Riemann problem] 92g:35131 

Holden, Helge (with Risebro, Nils Henrik) A stochastic approach to conservation laws. (see 
92a:00036) 


35L Partial differential equations of hyperbolic type 


35L65 


— (with Risebro, Nils Henrik) Stochastic properties of the scalar Buckley-Leverett equation. 
92h:35136 

Hu, Jia Xin Existence of weak solutions to single balance law equations. (Chinese) 
92¢:35076 

James, Francois see Canon, Eric, 92m:35169 and (92a:00036) 

Joseph, K.T. (with Veerappa Gowda, G. D.) Explicit formula for the solution of convex 
conservation laws with boundary condition. 92h:35137 

— see also Datti, P. S.; et ai., 92¢:35075 

Kan, Pui Tak Non-strictly hyperbolic conservation laws. 92¢:35077 

Kaptsov, O. V. Integral symmetries and conservation laws. (Russian) 92f:35102 

Keyfitz, Barbara Lee Admissibility conditions for shocks in conservation laws that change 
type. 92g:35132 

— see also Kranzer, Herbert C., 92g:35133 

Kranzer, Herbert C. (with Keyfitz, Barbara Lee) A strictly hyperbolic system of conserva- 
tion laws admitting singular shocks. 92g:35133 

Kreiss, Gunilla Convergence to steady state of solutions of viscous conservation laws. 
92g:35134 

Kruzhkov, S. N. (with Panov, E. Yu.) First-order conservative quasilinear laws with an 
infinite domain of dependence on the initial data. (Russian) 92m:35172 

Lin, Long Wei (with Yang, Tong) Convergence of the Lax-Friedrichs’ scheme for equations 
of isentropic gas dynamics in Lagrangian coordinates. 92k:35181 

— (with Yang, Tong) Existence and nonexistence of global smooth solutions for damped p- 
system with “really large” initial data. 92i:35082 

Liu, Tai-Ping On the viscosity criterion for hyperbolic conservation laws. 92k:35182 

Lu, Yun Guang (with Zhao, Hui Jiang) Existence and asymptotic behavior of solutions to 
2 * 2 hyperbolic quadratic conservation laws with small viscosity. 92g:35135 

Mao, De Kang A treatment for discontinuities. (see 92a:00036) 

de Mottoni, Piero see Xiao, Ling, 92m:35174 

Natalini, Roberto Solutions non bornées pour des lois de conservation avec source. (English 
summary) [Unbounded solutions for conservation laws with source] 92m:35173 

Panov, E. Yu. see Kruzhkov, S. N., 92m:35172 

Perthame, Benoit Remarques sur la formulation cinétique des lois de conservation scalaires. 
[Remarks on the kinetic formulation of scalar conservation laws] 92j:35120 

Rascle, Michel On the static and dynamic study of oscillations for some nonlinear 
hyperbolic systems of conservation laws. (French summary) 92j:35121 

— see also Greenberg, J. M., 92j:35119 

Risebro, Nils Henrik see Gimse, Tore, 92b:35094; Holden, Helge, 92h:35136 and 
(92a:00036) 

Saccomandi, Giuseppe (with Salvatori, M. C.) Conservation laws for the von Karman 
equations of a thin plate. (Italian summary) 92g:35136 

Salvatori, M. C. see Saccomandi, Giuseppe, 92g:35136 

Schecter, Stephen (with Shearer, Michael) Undercompressive shocks for non-strictly 
hyperbolic conservation laws. 924:35188 

Schochet, Steven Sufficient conditions for local existence via Glimm’s scheme for large BV 
data. 92¢:35078 

Serre, Denis Oscillations non linéaires des systemes hyperboliques: méthodes et résultats 
qualitatifs. (English summary) [Nonlinear oscillations of hyperbolic systems: methods 
and qualitative results] 92h:35138 

— Sur la variation totale comme fonction de Liapounov pour un systéme de lois de 
conservation. (English summary) [On the total variation as a Lyapunov function for 
systems of conservation laws] 924:35189 

— see also Demengel, Francoise, 924:35186 and E, Wei Nan, 92m:35170 

Shearer, Michael see Schecter, Stephen, 92d:35188 

Shemarulin, V. E. Contact symmetries and conservation laws of some equations in gas 
dynamics. (Russian) 92a:35107 

Sjégreen, Bjérn (with Engquist, Bjorn E.) Numerical approximation of hyperbolic 
conservation laws with stiff terms. 92b:35095 

Sklobovskii, N. K. (with Tupchiev, V. A.) Functional solutions to conservation laws, and 
difference schemes. (Russian. English summary) 92k:35183 

Strumia, A. Wave propagation and symmetric hyperbolic systems of conservation laws with 
constrained field variables. III. Lagrangian systems. 92h:35139 

Tadmor, Eitan Local error estimates for discontinuous solutions of nonlinear hyperbolic 
equations. 92d:35190 

Ting, T.C.T. see Zhu, Guangshan, (92a:00036) 

Tupchiev, V. A. see Sklobovskii, N. K., 92k:35183 

Vanninathan, M. see Datti, P. S.; et al., 92c:35075 

Veerappa Gowda, G. D. see Joseph, K. T., 92h:35137 

Werner, K.-D. see Boing, H., (92a:00036) 

Xiao, Ling (with de Mottoni, Piero) On a quasilinear degenerate hyperbolic system of 
conservation laws describing nonlinear advection phenomena. 92m:35174 

Yang, Shu Li (with Zhang, Tong) The MMB difference solutions of 2-D Riemann problems 
for a2 x 2 hyperbolic system of conservation laws. 92i:35083 

Yang, Tong see Lin, Long Wei; et al., 92i:35082 and 92k:35181 

Zhang, Tong see Yang, Shu Li, 92i:35083 

Zhao, Hui Jiang see Lu, Yun Guang, 92g:35135 

Zhu, Guangshan (with Ting, T. C. T.) Hyperbolic conservation laws with self-similar 
simple wave curves. (see 92a:00036) 


Items with secondary classifications in 35L65 

Asakura, Fumioki Existence of global solutions to one-dimensional nonlinear Maxwell’s 
equations. 92b:35151 

Balk, A. M. A new invariant for Rossby wave systems. 92f:35134 

Béing, H. (with Werner, K.-D.; Jackisch, H.) Construction of the entropy solution 
of hyperbolic conservation laws by a geometrical interpretation of the conservation 
principle. 92d:65168 

Broeze, Jan (with van Daalen, Edwin F. G.) Radiation boundary conditions for the two- 
dimensional wave equation from a variational principle. 92¢:35099 

— see also van Daalen, Edwin F. G.; et al., 92e:35098 

Bustos, M. C. (with Paiva, Freddy) Entropy solution and its application to the problem of 
sedimentation in a thickener. (Spanish) 92j:76095 





35L65 


Chin, Yan Shin see Lin, San Yih, 92i:65157 

Choe, Kyu Y. (with Holsapple, Keith A.) The Taylor-Galerkin discontinuous finite element 
method—an explicit scheme for nonlinear hyperbolic conservation laws. 92i:65146 

Christie, I. (with Palencia, C.) An exact Riemann solver for a fluidized bed model. 
92m:76142 

Colella, Phillip see Trangenstein, John A., 92f:73029 

van Daalen, Edwin F.G. (with Broeze, Jan; van Groesen, Embrecht) Variational principles 
and conservation laws in the derivation of radiation boundary conditions for wave 
equations. 92e:35098 

— see also Broeze, Jan, 92e:35099 

Donat, Rosa Studies on error propagation for ENO schemes. (see 92a:00036) 

E, Wei Nan (with Kohn, Robert V.) The initial value problem for measure-valued solutions 
of a canonical 2 x 2 system with linearly degenerate fields. 92h:35129 

Forestier, Alain (with Le Floch, Philippe) Multivalued solutions to some nonlinear and 
non-strictly hyperbolic systems. 92m:35167 

Thierry (with Vila, J.-P.) Finite volume schemes for conservation laws of mixed 

type. 92m:76099 

Garbey, Mare (with Scroggs, Jeffrey S.) Asymptotic-induced numerical methods for 
conservation laws. 92¢:65132 

Glimm, James Nonlinear waves: overview and problems. 92c¢:76055 

van Groesen, Embrecht see van Daalen, Edwin F. G.; et al., 92e:35098 

Hicks, Darrell L. see Kuttler, Kenneth, 92i:76079 

Holsapple, Keith A. see Choe, Kyu Y., 92i:65146 

Huang, Fa Lun Some problems for linear elastic systems with damping. 92h:34114 

Iliner, Reinhard (with Wick, Joachim) On statistical and measure-valued solutions of 
differential equations. 92g:34020 

Jackisch, H. see Boing, H.; et al., 92d:65168 

Jin, Bao Xia Construction of a class of uniformly second-order accurate nonoscillatory 
schemes for hyperbolic conservation laws. 92g:65103 

Joseph, K.T. (with Veerappa Gowda, G. D.) Explicit formula for the limit of a difference 
approximation. 924:65147 

Karamzin, Yu. N. (with Sukhorukov, A. P.; Trofimov, V. A.) *& MatemaTuyeckoe 
MOJeHpOBaHHe B HeIHHeMHOK onTuKe. (Russian) [Mathematical modeling in nonlinear 
optics] 92i:78023 

Kohn, Robert V. see E, Wei Nan, 92h:35129 

Kuttler, Kenneth (with Hicks, Darrell L.) The one-dimensional displacement in an 
isothermal viscous compressible fluid with a nonmonotone equation of state. 92i:76079 

Lafon, F. (with Osher, Stanley) High order filtering methods for approximating hyperbolic 
systems of conservation laws. 924:76038 

Le Flech, Philippe (with Li, Da Qian) A global asymptotic expansion for the solution to the 
generalized Riemann problem. 92c:35030 

— see also Forestier, Alain, 92m:35167 

Li, Da Qian see Le Floch, Philippe, 92c:35030 

Li, De Ning Rarefaction and shock waves for multidimensional hyperbolic conservation 
laws. 924:35191 

Li, Song Bo The symmetrical dissipative difference schemes for quasi-linear hyperbolic 
conservation laws. 

Lin, San Yih (with Chin, Yan Shin) An upwind finite-volume scheme with a triangular 
mesh for conservation laws. 92i:65157 

Liu, Fa Gui Existence and nonexistence of global solutions to the Cauchy problem for 
quasilinear hyperbolic equations with dissipative terms. (Chinese. English summary) 
92g:35129 

Malkus, David S. (with Nohel, John A.; Plohr, Bradley J.) Analysis of new phenomena in 
shear flow of non-Newtonian fluids. 92f:76010 

Nohel, John A. see Malkus, David S.; et al., 92f:76010 

Olver, Peter J. Recursion operators and Hamiltonian systems. 92j:58094 

Osher, Stanley see Lafon, F., 92d:76038 

Ostapenko, VY. V. Approximation of conservation laws by difference schemes of thorough 
computation. (Russian) 924:65149 

Paiva, Freddy see Bustos, M. C., 92j:76095 

Palencia, C. see Christie, I., 92m:76142 

Perthame, Benoit (with Tadmor, Eitan) A kinetic equation with kinetic entropy functions 
for scalar conservation laws. 92d:82095 

Plohr, Bradley J. see Malkus, David S.; et al., 92f:76010 

Risebro, Nils Henrik (with Tveito, Aslak) Front tracking applied to a non-strictly 
hyperbolic system of conservation laws. 92h:65154 

Scroggs, Jeffrey S. see Garbey, Marc, 92e:65132 

Serre, Denis Quelques méthodes d’étude de la propagation d’oscillations hyperboliques 
non linéaires. [Some methods for studying the propagation of nonlinear hyperbolic 
oscillations] 92k:35178 

Sokolov, V. V. see Svinolupov, S. I., 924:35129 

Stewart, D. Scott Surface evolution equations from detonation theory. (see 92b:00035) 

Stromberg, Marc Sinc approximate solution of quasilinear equations of conservation law 
type. 92a:65262 

Sukhorukov, A. P. see Karamzin, Yu. N.; et al., 92i:78023 

Svinolupov, S. I. (with Sokolov, V. V.) Weak nonlocalities in evolution equations. (Russian) 
924:35129 

Szepessy, A. Convergence of a streamline diffusion finite element method for scalar 
conservation laws with boundary conditions. (French summary) 92g:65115 

Tadmor, Eitan Essentially nonoscillatory spectral viscosity approximations. 92b:65076 

— see also Perthame, Benoit, 924:82095 

Ting, T.C.T. see Zhu, Guangshan, 92g:73039 

Trangenstein, John A. (with Colella, Phillip) A higher-order Godunov method for modeling 
finite deformation in elastic-plastic solids. 92f:73029 

Trofimov, V. A. see Karamzin, Yu. N.; et al., 92i:78023 

Tveito, Aslak (with Winther, Ragnar) A well posed system of hyperbolic conservation laws. 
(see 92a:00036) 

— see also Risebro, Nils Henrik, 92h:65154 

Varadhan, S.R.S. On the derivation of conservation laws for stochastic dynamics. 
92a:60211 


PARTIAL DIFFERENTIAL EQUATIONS 


Veerappa Gowda, G. D. see Joseph, K. T., 924:65147 

Viallon, Marie-Claude Convergence of the two-point upstream weighting scheme. 
924:65156 

Vila, J.-P. see Gallouét, Thierry, 92m:76099 

Volkov, Lyuben G. Conservation laws of gas dynamics in Lagrangian variables. (Russian) 
92k:76076 

Weinberger, Hans F. Long-time behavior for a regularized scalar conservation law in the 
absence of genuine nonlinearity. (French summary) 92k:35137 

Werner, K.-D. see Boing, H.; et al., 92d:65168 - 

Wick, Joachim see Illner, Reinhard, 92g:34020 

Winther, Ragnar see Tveito, Aslak, (92a:00036) 

Xu, Guo Rong A modified MacCormack’s scheme. 92j:65130 

Zhu, Guangshan (with Ting, T. C. T.) Wave curves with the presence of an umbilic point 
and an umbilic line for plane waves in isotropic elastic solids. 92g:73039 


35L67 Shocks and singularities [see also 58C27, 76L05] 


Ames, Karen A. (with Keyfitz, Barbara Lee) Stability of shocks in systems that change type: 
the linear approximation. (see 92a:00036) 

Goodman, Jonathan Remarks on the stability of viscous shock waves. (see 92h:35002) 

He, Yuanping see Moodie, T. B., (92k:35002) 

Keyfitz, Barbara Lee see Ames, Karen A., (92a:00036) 

Li, De Ning Rarefaction and shock waves for multidimensional hyperbolic conservation 
laws. 92d:35191 

Mehiman, G. An approximate Riemann solver for fluid systems based on a shock curve 
decomposition. 92¢:35079 

Métivier, Guy Stability of multi-dimensional weak shocks. 92a:35108 

Moodie, T. B. (with He, Yuanping) Weakly nonlinear hyperbolic waves with interior 
shocks. (see 92k:35002) 

Ostapenko, V. V. Expansion of the difference solution of the front of a shock wave. 
(Russian) 

Schecter, Stephen (with Shearer, Michael) Transversality for undercompressive shocks in 
Riemann problems. 92m:35175 

Schochet, Steven Sufficient conditions for local existence via Glimm’s scheme for large BV 
data. (see 92a:00036) 

Shearer, Michael see Schecter, Stephen, 92m:35175 

Teshukov, V.M. Three-dimensional problems of interaction of shock waves. 924:35192 


Items with secondary classifications in 35L67 

Abell, M. see Ames, W. F.; et al., 92e:35014 

Almgren, Robert F. High-frequency acoustic waves in a reacting gas. 92d:76042 

Ames, W.F. (with Peters, J. E.; Abell, M.) Symmetry and semi-symmetry reduction in wave 
propagation and lubrication. 92¢:35014 

Blokhin, A. M. (with Mishchenko, E. V.) Formulation of a problem on the stability of 
shock waves in relativistic gas dynamics. (Russian) 92i:76105 

— (with Druzhinin, I. Yu.) Well-posedness of some linear problems on the stability of strong 
discontinuities in magnetohydrody ics. (Russian) 92¢:76028 

Boillat, Guy Expression explicite des chocs caractéristiques de croisement. (English 
summary) [Explicit form of the characteristic shocks of crossing eigenvalues] 92b:35093 

Brio, M. (with Hunter, John K.) Nonlinear transverse waves in an isotropic medium. 
92b:35090 

Choe, Kyu Y. (with Holsapple, Keith A.) The discontinuous finite element method with the 
Taylor-Galerkin approach for nonlinear hyperbolic conservation laws. 92m:65118 

Druzhinin, I. Yu. see Blokhin, A. M., 92e:76028 

Elzanowski, Marek (with Epstein, Marcelo) Coupled shocks in nonlinear elasticity. (see 
92a:65021) 

Epstein, Marcelo see Elzanowski, Marek, (92a:65021) 

Fil’ko, S. A. see Gavrilyuk, S. L., 92m:76083 

Freistihler, Heinrich Linear degeneracy and shock waves. 92e:35108 

Gavrilyuk, S. L. (with Fil‘ko, S. A.) Shock waves in polydispersive bubble media with 
dissipation. (Russian) 92m:76083 

Giannone, Angela On the velocities of electromagnetic shock waves. (German and Russian 
summaries) 92h:78010 

He, Yuanping (with Moodie, T. B.) The signaling problem in nonlinear hyperbolic wave 
theory. 92j:35116 

Holsapple, Keith A. see Choe, Kyu Y., 92m:65118 

Hunter, John K. see Brio, M., 92b:35090 

Keyfitz, Barbara Lee (with Warnecke, Gerald G.) The existence of viscous profiles and 
admissibility for transonic shocks. 92i:76063 

— Admissibility conditions for shocks in conservation laws that change type. 92g:35132 

— see also Kranzer, Herbert C., 92g:35133 

Kranzer, Herbert C. (with Keyfitz, Barbara Lee) A strictly hyperbolic system of conserva- 
tion laws admitting singular shocks. 92g:35133 

LeVeque, Randall J. * Numerical methods for conservation laws. 92m:65106 

Manganaro, N. (with Valenti, Giovanna) On shock propagation for a compressible fluid 
supplemented by a generalized von Karman law. 92h:76057 

McCarthy, Matthew F. Shock waves in a particulate suspension. 92h:76058 

Men’shov, I.S. Generalized problem on the decay of an arbitrary discontinuity. (Russian) 
92j:76082 

Mishchenko, E. V. see Blokhin, A. M., 92i:76105 

Moodie, T. B. see He, Yuanping, 92j:35116 

Nadir, B. (with Varenne, J.-P.) Régularité conormale classique des probleémes de Cauchy et 
de réflexion transverse pour un systéme 2 x 2 semi-linéaire. (English summary) [Classical 
conormal regularity of the Cauchy and transverse reflection problems for a semilinear 
2 x 2 system] 92m:35166 

Peters, J. E. see Ames, W. F.; et al., 92e:35014 

Piechor, Kazimierz A discrete kinetic model admitting compression and expansion shock 
waves. (Russian and Polish summaries) 92c:76061 

Ruggeri, T. Shock waves in hyperbolic dissipative systems: nonequilibrium gases. 
92m:76084 











607 1992 


Sainsaulieu, Lionel Ondes progressives solutions de syst¢mes convectifs-diffusifs et systémes 
hyperboliques non conservatifs. (English summary) [Travelling-wave solutions of 
convective-diffusive systems and nonconservative hyperbolic systems] 92d:35176 

Schochet, Steven Sufficient conditions for local existence via Glimm’s scheme for large BV 
data. 92c:35078 

(Shearer, Michael) see Viscous profiles and numerical methods for shock waves, 92h:35002 

Shih, Shagi-Di Shock layer structure of Burgers’ equation. 92m:35241 

Valenti, Giovanna see Manganaro, N., 92h:76057 

Varenne, J.-P. see Nadir, B., 92m:35166 

Warnecke, Gerald G. see Keyfitz, Barbara Lee, 92i:76063 

Watson, M. Nonlinear waves in pipeline two-phase flows. 92a:76086 

Wendroff, Burton A study of nonuniqueness and instability for convex materials. 92a:76056 


Items listed otherwise than by author 


Raleigh, NC * Viscous profiles and numerical methods for shock waves. 92h:35002 
Viscous profiles and numerical methods for shock waves * Viscous profiles and numerical 
methods for shock waves. 92h:35002 
Workshop: 
Shock Waves * Viscous profiles and numerical methods for shock waves. 92h:35002 


35L70 Nonlinear second-order PDE of hyperbolic type 


Abulov, M. A. Solvability of a mixed problem for a higher-order nonlinear equation. 
(Russian) (see 92d:00011) 

Agemi, Rentaro Blow-up of solutions to nonlinear wave equations in two space dimensions. 
92k:35184 

Aliev, A. B. (with Aliev, Fakhraddin Abbas oglu) On the existence of minimal attractors 
for nonlinear hyperbolic equations. (Russian. English and Azerbaijani summaries) 
924:35193 

Aliev, Fakhraddin Abbas oglu see Aliev, A. B., 92d:35193 

Ali Mehmeti, Felix Existence and regularity of solutions of Cauchy problems for inhomoge- 
neous wave equations with interaction. 92m:35176 

An, Yu Kun see Xu, Deng Zhou; et al. 

Arrigo, D. J. Group properties of uxx — uy"uyy = f(u). 92j:35122 

Ball, J. M. (with Holmes, Philip; James, Richard Dana; Pego, Robert L.; Swart, P. J.) On 
the dynamics of fine structure. 92d4:35194 

Barannik, A. F. (with Barannik, L. F.; Fushchich, V. 1.) Reduction of a multidimensional 
Poincaré-invariant nonlinear equation to two-dimensional equations. (Russian. Ukrainian 
summary) 92k:35185 

Barannik, L. F. see Barannik, A. F.; et al., 92k:35185 

Berkovits, Juha (with Mustonen, Vesa) On multiple solutions for a class of semilinear wave 
equations. 924:35195 

Bradley, M. E. (with Lasiecka, Irena) Existence of the solutions to the Euler-Bernoulli plate 
model with semilinear boundary conditions. 924:35196 

Byszewski, Ludwik Theorem about existence and uniqueness of continuous solution of 
nonlocal problem for nonlinear hyperbolic equation. 92d:35197 

Cazenave, Thierry (with Haraux, Alain; Weissler, Fred B.) Une équation des ondes 
complétement intégrable avec non-linéarité homogéne de degré trois. (English summary) 
[A completely integrable wave equation with a cubic nonlocal nonlinearity] 92g:35137 

Chikhi, Jamel Réflexion d’ondes striées pour un systéme a deux vitesses. (English summary) 
[Reflection of striated waves for a two-speed system] 92¢:35109 

Dang Dinh Hai On a wave equation with nonlinear strong damping. 92a:35109 

Delort, Jean-Marc Oscillations semi-linéaires multiphasées compatibles en dimension 2 ou 
3 d’espace. [Compatible multiphase semilinear oscillations in space dimension 2 or 3] 
92g:35138 

Ebihara, Yukiyoshi Semilinear wave equations with local and nonlocal nonlinearities. 
92d:35198 

Egorchenko, I. A. Stationary solutions of the nonlinear wave equation. (Russian) (see 
92b:35011) 

El-Sabbagh, M. F. see Hassan, M. M., 92h:35141 

Feireisl, Eduard Global in time solutions to quasilinear telegraph equations involving 
operators with time delay. (Czech summary) 92j:35123 

— Weakly damped quasilinear wave equation: existence of time-periodic solutions. 
92k:35186 

— (with Norbury, John) Some existence, uniqueness and nonuniqueness theorems for 
solutions of parabolic equations with discontinuous nonlinearities. 92g:35139 

Fushchich, V.I. Some new wave equations in mathematical physics. (Russian) (see 
92b:35011) 

— (with Zhdanov, R. Z.; Revenko, I. V.) Compatibility and solutions of nonlinear 
d’Alembert and Hamilton equations. (Russian) 924:35199 

— (with Serov, N. 1.; Repeta, V. K.) Conditional symmetry, reduction and exact solutions of 
the nonlinear wave equation. (Russian. English summary) 92h:35140 

— (with Mironyuk, P. I.) Conditional symmetry and exact solutions of an equation of 
nonlinear acoustics. (Russian) 92j:35124 

— (with Zhdanov, R. Z.; Revenko, I. V.) A general solution of the nonlinear wave equation 
and of the eikonal. (Russian. English summary) 92k:35187 

— (with Serov, N. 1.) Conditional invariance of the nonlinear wave equation. (Russian. 
Ukrainian summary) 92b:35096 

— (with Zhdanov, R. Z.; Revenko, I. V.) General solutions of the nonlinear wave equation 
and the eikonal equation. (Russian. Ukrainian summary) 92m:35177 

— see also Barannik, A. F.; et al., 92k:35185 

Georgiev, Vladimir S. (with Popivanov, Pet’r R.) Global solution to the two-dimensional 
Klein-Gordon equation. 92g:35140 

— (with Todorova, Grozdena) Existence of solution of the wave equation with nonlinear 
damping and source terms. (French summary) 92j:35125 

Gramchev, Todor Weak limits of solutions to nonlinear hyperbolic Cauchy problems with 
singular initial data. (see 92m:35004) 

Grillakis, Manoussos G. Regularity and asymptotic behaviour of the wave equation with a 
critical nonlinearity. 92c:35080 


35L Partial differential equations of hyperbolic type 


35L70 


Guzev, M. A. On the theory of wave front propagation in nonlinear layered media. 
(Russian) 

Ha-Duong, Tuong (with Joly, Patrick) Energy identities for the wave equation with high 
order boundary conditions. (see 92a:65021) 

Haraux, Alain see Cazenave, Thierry; et al., 92g:35137 

Hassan, M. M. (with El-Sabbagh, M. F.) Transport equations of higher order discontinu- 
ities for quasilinear hyperbolic systems. 92h:35141 

Holmes, Philip see Ball, J. M.; et al., 92d:35194 

Hérmander, Lars The fully nonlinear Cauchy problem with small data. 92k:35188 

Hosoya, Masanori (with Yamada, Yoshio) On some nonlinear wave equations. I. Local 
existence and regularity of solutions. 92i:35084 

— (with Yamada, Yoshio) On some nonlinear wave equations. II. Global existence and 
energy decay of solutions. 92i:35085 

James, Richard Dana see Ball, J. M.; et al., 924:35194 

Joly, Patrick see Ha-Duong, Tuong, (92a:65021) 

Kalyakin, L. A. The method of matching in a problem on long-wave modulation of 
nonlinear two-dimensional waves with dispersion. (Russian) 92a:35110 

Kapitanskii, L.V. The Cauchy problem for the semilinear wave equation. III. (Russian. 
English summary) 92d:35200 

Keller, Joseph B. (with Rubinstein, Jacob) Nonlinear wave motion in a strong potential. 
92b:35097 

Kichenassamy, Satyanad Breather solutions of the nonlinear wave equation. 92i:35086 

Kilp, Helgi The differential-geometric structure of a hyperbolic system of first-order 
nonlinear equations with two independent variables. (Russian) 92d:35201 

Kirilich, V.M. (with Myshkis, A. D.) Generalized semilinear hyperbolic Stefan problem on 
a straight line. (Russian) 92e:35110 

Kong, De Xing The third boundary value problem for one-dimensional quasilinear wave 
equations. (Chinese. English summary) 92k:35189 

Lagno, V.I. see Zhdanov, R. Z., (92b:35011) 

Larkin, N. A. Smooth solutions of nonlinear hyperbolic equations. (Russian) 92h:35142 

Lasiecka, Irena see Bradley, M. E., 92d:35196 

Lavrenyuk, S. P. A mixed problem for an equation of plate-oscillation type. (Russian. 
English summary) 92m:35178 

Lebeau, Gilles Equations des ondes semi-linéaires. II. Contréle des singularités et caustiques 
non-linéaires. [Semilinear wave equations. II. Control of nonlinear singularities and 
caustics] 92j:35126a 

— Equations des ondes semi-linéaires. II. Contréle des singularités et caustiques non 
linéaires. (English summary) [Semilinear wave equations. II. Control of nonlinear 
singularities and caustics] 92j:35126b 

Lesky, Peter, Jr. Local existence for solutions of fully nonlinear wave equations. 92h:35143 

Li, Cai Zhong (with Yang, Ze Jiang) Existence of global smooth solutions to initial 
value problems for a class of quasilinear equations with dissipation. (Chinese. English 
summary) 92k:35190 

Li, Da Qian Lower bounds of the life-span of small classical solutions for nonlinear wave 
equations. (see 92¢:35002) 

— (with Yu, Xin?) Life-span of classical solutions to fully nonlinear wave equations. 
92£:35103 

Liu, Tai-Ping Interactions of nonlinear hyperbolic waves. 92a:35111 

Lokshin, A. A. (with Sagomonyan, E. A.) Factorizations of the nonlinear wave equation. 
(Russian) 92j:35127 

Matarazzo, Giovanni A uniqueness theorem for a nonlinear hyperbolic equation. (Italian. 
English summary) 92m:35179 

Matos, Marivaldo Pereira Mathematical analysis of the nonlinear model for the vibrations 
of a string. 92k:35191 

Men’shikh, O. F. The Cauchy problem and boundary value probl 
of quasilinear hyperbolic equations. (Russian) 92i:35087 

Mironyuk, P.1. see Fushchich, V. I., 92j:35124 

Morais Pereira, J. see Perla Menzala, Gustavo, 92m:35180 

Muiioz Rivera, Jaime Edilberto Remarks on quasilinear evolutions equations. 92g:35141 

Mustonen, Vesa see Berkovits, Juha, 92d:35195 

Myshkis, A. D. see Kirilich, V. M., 92e:35110 

Nakao, Mitsuhiro On solutions of the wave equation with a sublinear dissipative term. Il. 
92e:35111 

— Remarks on the existence and uniqueness of global decaying solutions of the nonlinear 
dissipative wave equations. 924:35202 

Norbury, John see Feireisl, Eduard, 92g:35139 

Oberguggenberger, Michael Semilinear wave equations with rough initial data: generalized 
solutions. 92f:35104 

Parkes, E. J. The modulational instability of the nonlinear Klein-Gordon equation. 
92b:35098 

Pego, Robert L. see Ball, J. M.; et al., 92d:35194 

Perla Menzala, Gustavo (with Morais Pereira, J.) On a nonlinear wave equation and the 
instability of traveling waves. 92m:35180 

Persson, Jan Regularization of a nonlinear wave equation with measures as potential and 
driving force. 92j:35128 

Popivanov, Petr R. see Georgiev, Vladimir S., 92g:35140 

Puel, Jean-Pierre (with Tucsnak, Marius) Stabilisation frontitre pour les équations de 
von Karman. (English summary) [Boundary stabilization of the von Karman equations] 
92k:35192 

Repeta, V. K. Some conditionally invariant solutions of the nonlinear wave equation. 
(Russian) (see 92b:35011) 

— see also Fushchich, V. 1.; et al., 92h:35140 

Revenko, I. V. see Fushchich, V. L.; et al., 92d:35199; 92k:35187 and 92m:35177 

Rubinstein, Jacob see Keller, Joseph B., 92b:35097 

Sa Barreto, Anténio Second microlocal ellipticity and propagation of conormality for 
semilinear wave equations. 92h:35144 

Sagomonyan, E. A. see Lokshin, A. A., 92j:35127 

Salvatore, Addolorata Errata corrige: “Solutions of minimal period for a semilinear wave 
equation” [Ann. Mat. Pura Appl. (4) 155 (1989), 271-284; MR 91f:35032]}. 92d:35203 

Samsonov, A. M. On some exact travelling wave solutions for nonlinear hyperbolic 





for a class of systems 





35L70 


equations. (see 92k:35002) 

Scarpellini, Bruno Stable manifold constructions for nonlinear wave equations. 92j:35129 

Serov, N. I. Conditional invariance of a nonlinear semi-wave equation with respect to a 
conformal algebra. (Russian) (see 92b:35011) 

— see also Fushchich, V. I., 92b:35096 and 92h:35140 

Shao, Wu Shan (with Sheng, Qi Rong) Existence and uniqueness of global solutions to the 
Cauchy problem for nonlinear wave equations. (Chinese. English summary) 92m:35181 

Sheng, Qi Rong see Shao, Wu Shan; et al., 92m:35181 

Sideris, Thomas C. A decay estimate for the three-dimensional inhomogeneous Klein- 
Gordon equation and global existence for nonlinear equations. (see 92c:35002) 

Sirendaoerji An exact solution to a nonlinear evolution equation. (Chinese. English 
summary) 92h:35145 

Smiley, Michael W. Breathers for nonlinear wave equations. (Italian summary) 92m:35182 

— Complex-valued time-periodic solutions and breathers of nonlinear wave equations. 
92:35099 

— On the existence of smooth breathers for nonlinear wave equations. 92k:35193 

Struwe, Michael Semi-linear wave equations. 92e:35112 

Swart, P. J. see Ball, J. M.; et al., 924:35194 

Todorova, Grozdena see Georgiev, Viadimir S., 92j:35125 

Tucsnak, Marius see Puel, Jean-Pierre, 92k:35192 

Vityuk, A. N. Properties of solutions of hyperbolic differential equations with a multivalued 
right-hand side. (Russian) 

Weissler, Fred B. see Cazenave, Thierry; et al., 92g:35137 

Xu, Deng Zhou (with An, Yu Kun) Multiple solutions to a class of asymptotic linear wave 
equations without monotonicity hypotheses. (Chinese. English summary) 

Yamada, Yoshio see Hosoya, Masanori, 92i:35084 and 92i:35085 

Yang, Ze Jiang see Li, Cai Zhong; et al., 92k:35190 

Yu, Xin? see Li, Da Qian, 92f:35103 

Zhdanov, R. Z. (with Lagno, V.1.) Exact solutions of the nonlinear d’Alembert equation 
that contain arbitrary functions. (Russian) (see 92b:35011) 

— see also Fushchich, V. L.; et al., 924:35199; 92k:35187 and 92m:35177 

Zuazua, Enrike Exact controllability for the semilinear wave equation. (French summary) 
92b:35100 


Items with secondary classifications in 35L70 

Akashi, Wilson Yoshihiro (with Miller, Célia Peitl) The method of topological degree of a 
mapping in hyperbolic problems. (Portuguese. English summary) 92j:47117 

Babich, M. V. Smoothness of real finite-gap solutions of equations connected with the sine- 
Gordon equation. (Russian) 924:35241 

Bahaguna, D. (with Pani, Amiya K.; Raghavendra, V.) Rothe’s method to semilinear 
hyperbolic integrodifferential equations. 92a:34066 

Bakkaloglu, A. see Suhubi, Erdogan S., 92k:35177 

Barannik, A. F. see Fushchich, V. L.; et al., 92b:58248 and 92b:58249 

Beals, Michael Regularity of nonlinear waves associated with a cusp. 92£:35034 

— see also Microlocal analysis and nonlinear waves, 92c:35002 

Berkovits, Juha (with Mustonen, Vesa) On the existence of multiple solutions for semi- 
linear equations with monotone nonlinearities crossing a finite number of eigenvalues. 
92j:47118 

Biroli, Marco (with Dal Fabbro, Florangela) Bounded or almost periodic solutions of a 
wave equation with nonlinear viscosity. 92¢:35013 

Brokate, Martin Optimal control of the semilinear wave equation with hysteresis. 
92d:49003 

Capozzi, Alberto A Birkhoff-Lewis type result for a semilinear wave equation. 92¢:35027 

Cztapitiski, Tomasz A boundary value problem for quasilinear hyperbolic differential- 
functional systems. 92h:35230 

Dal Fabbro, Florangela see Biroli, Marco, 92c:35013 

Dawidowski, Marian (with Kubiaczyk, Ireneusz) An existence theorem for the generalized 
hyperbolic equation zy, € F (x,y,z) in Banach space. 92£:35150 

Dzundza, A.I. The problem of estimating calculated actions in hyperbolic systems. 
(Russian) 92h:35250 

Eleonskii, V.M. (with Lerman, L. M.) Nonintegrable field equations and homoclinic loops 
of Hamiltonian systems. 92j:58096 

Filimonov, M. Yu. On the representation of solutions of mixed problems for the nonlinear 
wave equation by special double series. (Russian) 92i:35024 

Friedman, Avner Blow-up of solutions of nonlinear heat and wave equations. (see 
92b:00035) 

Fushchich, V.1. (with Barannik, A. F.; Moskalenko, Yu. D.) Exact solutions of the 
d’Alembert and Liouville equations in the pseudo-Euclidean space R22. I. (Russian. 
Ukrainian summary) 92b:58248 

— (with Barannik, A. F.; Moskalenko, Yu. D.) Exact solutions of d’Alembert and Liouville 
equations in the pseudo-Euclidean space R22. II. (Russian. Ukrainian summary) 
92b:58249 

Ghidaglia, Jean-Michel (with Marzocchi, A.) Longtime behaviour of strongly damped 
wave equations, global attractors and their dimension. 92e:35033 

Gramchev, Todor Nonlinear maps in spaces of distributions. 92j:46068 

Grundland, Alfred M. (with Tuszynski, J. A.; Winternitz, Pavel) Jacobi elliptic solutions of 
the quintic nonlinear Klein-Gordon equations. (see 92:81008) 

Hadeler, K. P. Traveling fronts in parabolic and hyperbolic equations. 92g:35096 

Hale, Jack K. (with Raugel, Genevit¢ve) Lower semicontinuity of the attractor for a 
singularly perturbed hyperbolic equation. 92g:58076 

— (with Raugel, Genevieve) A damped hyperbolic equation on thin domains. 92g:58077 

Ianakiev, Krasimir G. Scattering for nonlinear wave equation with small initial data. 
924:35214 

Inerbaev, M.S. Justification of difference schemes with additional unknowns for quasilinear 
equations of hyperbolic type. (Russian) 92k:65122 

Knyazev, M. A. Spectral composition of a spatially homogeneous periodic solution of the 
nonlinear wave equation. (Russian. English summary) 

Kostin, I. N. A regular approach to a problem on the attractors of singularly perturbed 
equations. (Russian. English summary) 92i:34083 

Kovalyov, M. Resonance-type phenomena in nonlinear waves. 92b:35092 


PARTIAL DIFFERENTIAL EQUATIONS 


Krejéi, Pavel see Vejvoda, Otto, 92f:35028 

Krylov, A. V. Justification of the method of internal averaging along characteristics of 
weakly nonlinear systems. II. (Russian. English and Lithuanian summaries) 92c:35007 

Kubiaczyk, Ireneusz see Dawidowski, Marian, 92:35150 

Kuzin, I. A. The existence of a countable set of periodic spherically symmetric solutions of 
the nonlinear wave equation. (Russian) 92g:35021 

Lerman, L. M. see Eleonskii, V. M., 92j:58096 

Liu, Lin Qi Propagation of stronger singularities of solutions to semilinear wave equations. 
92e:35010 

Maremonti, Paolo (with Russo, Remigio) On the wave propagation in finite elasticity. 
92k:73025 

Marzocchi, A. see Ghidaglia, Jean-Michel, 92e:35033 

(Melrose, Richard B.) see Microlocal analysis and nonlinear waves, 92c:35002 

Men’shikh, O. F. The Cauchy problem for a class of systems of quasilinear hyperbolic 
equations. (Russian) 92¢:35073 

Miller, Célia Peitl see Akashi, Wilson Yoshihiro, 92j:47117 

Milojevi¢é, P. S. Solvability of operator equations and periodic solutions of semilinear 
hyperbolic equations. 92j:47127 

Moskalenko, Yu. D. see Fushchich, V. I.; et al., 92b:58248 and 92b:58249 

Mustonen, Vesa see Berkovits, Juha, 92j:47118 

Orlovskii, D.G. An inverse problem for an equation of hyperbolic type in a Hilbert space. 
(Russian) 92m:35274 

Pani, Amiya K. see Bahaguna, D.; et al., 922:34066 

Pavel, Paraschiva Sur un systeme d’équations aux dérivées partielles. [On a system of partial 
differential equations] 92g:35126 

Poorkarimi, Hushang see Shah, Swarupchand M.; et al., 92a:35157 

Raghavendra, V. see Bahaguna, D.; et al., 922:34066 

(Rauch, Jeffrey) see Microlocal analysis and nonlinear waves, 92c:35002 

Raugel, Genevieve see Hale, Jack K., 92g:58076 and 92g:58077 

Russo, Remigio see Maremonti, Paolo, 92k:73025 

Rzepecki, Bogdan On the hyperbolic equation zx, = f(x,y, z) in Banach spaces. 92c:35119 

Sa Barreto, Anténio On the interactions of conormal waves for semilinear wave equations. 
(see 92¢:35002) 

Sainsaulieu, Lionel Ondes progressives solutions de systémes convectifs-diffusifs et systemes 
hyperboliques non conservatifs. (English summary) [Travelling-wave solutions of 
convective-diffusive systems and nonconservative hyperbolic systems] 92d:35176 

Sakhnovich, L. A. A hyperbolic sine-Gordon equation. (Russian) 92i:35111 

Schierwagen, Andreas Impulse propagation in nonuniform nerve fibres: analytical 
treatment. (see 92k:35002) 

Shah, Swarupchand M. (with Poorkarimi, Hushang; Wiener, Joseph) Bounded solutions of 
retarded nonlinear hyperbolic equations. 92a:35157 

Shu, Wei-Tong Asymptotic properties of the solutions of linear and nonlinear spin field 
equations in Minkowski space. 92m:58138 

Shul/ga, M. V. Symmetry of subsets of solutions of the nonlinear wave equation for a 
complex field. (Russian) (see 92b:35011) 

Suhubi, Erdogan S. (with Bakkaloglu, A.) Group properties and similarity solutions for a 
quasi-linear wave equation in the plane. 92k:35177 

Teodoru, Georgeta Absolutely continuous solutions of Cauchy problem for a multi-valued 
hyperbolic equation. (Romanian summary) 92¢:35133 

— Continuous selections of multi-valued maps with nonconvex right-hand side and the 
Goursat problem for the multi-valued hyperbolic equation 07z/9xdy € F(x, y, z). 
92¢:35134 

— An application of the contraction principle of Covitz and Nadler to the Darboux problem 
for a multivalued equation. 924:35320 

Tret'yakova, L.G. On the problem of w-periodic solutions of the quasilinear telegraph 
equation. (Russian) 92b:35019 

— see also Zabreiko, P. P., 92f:35020 

Tuszytiski, J. A. see Grundland, Alfred M.; et al., (92£:81008) 

Tychinin, V. A. Nonlocal symmetries and exact solutions of the nonlinear wave equation. 
(Russian) (see 92b:35011) 

Vassiliou, P. J. Geometry and the method of Darboux. 92g:35128 

Vejvoda, Otto (with Krejci, Pavel) A note to a bifurcation result of H. Kielhéfer for the 
wave equation. (Czech summary) 92f:35028 

Vityuk, A. N. Existence of solutions of a class of multivalued partial differential equations. 
(Russian. Ukrainian summary) 92b:35183 

Wang, Xue Feng! The Cauchy problem for a class of quasilinear parabolic equations with 
discontinuous initial values. (Chinese. English summary) 92g:35219 

Wiener, Joseph see Shah, Swarupchand M.; et al., 92a:35157 

Williams, Mark Interaction of singularities and propagation into shadow regions in 
semilinear boundary problems. 92e:35011 

Winternitz, Pavel see Grundland, Alfred M.; et al., (92f:81008) 

Zabreiko, P. P. (with Tret'yakova, L.G.) Periodic solutions of a quasilinear telegraph 
equation. (Russian) 92f:35020 

Zuazua, Enrike Exact boundary controllability for the semilinear wave equation. (French 
summary) 92k:93029 


Items listed otherwise than by author 

Microlocal analysis and nonlinear waves * Microlocal analysis and nonlinear waves. 
92¢:35002 

Minneapolis, MN * Microlocal analysis and nonlinear waves. 92c:35002 

Workshop: 


Microlocal Analysis and Nonlinear Waves * Microlocal analysis and nonlinear waves. 
92¢:35002 


35L75 Nonlinear hyperbolic PDE of higher (> 2) order 


Chueshov, I. D. An inertial manifold in a problem on nonlinear oscillations of an infinite 
panel. (Russian. Ukrainian summary) 92a:35112 
Liu, Da Cheng see Liu, Ya Cheng; et al., 92f:35105 





609 1992 


Liu, Ya Cheng (with Liu, Da Cheng) The initial-boundary value problem for the equation 
Uy — aAu, — Au = f(u). (Chinese. English summary) 92f:35105 

Malovichko, V. A. Solvability of nonlocal boundary value probl for some systems of 
evolution differential equations. (Russian. Ukrainian summary) 92b:35101 

Serov, N. I. (with Serova, M. M.) Conformal invariance of a nonlinear polywave equation. 
(Russian) (see 92d:00021) 

Serova, M. M. see Serov, N. I., (92d:00021) 





Items with secondary classifications in 35L75 
Ostrovskii, L. A. From nonlinear oscillations to nonlinear waves. (Russian) 92j:34077 
Panizzi, Stefano Abstract nonlinear Timoshenko beam equation. 92m:34143 


Tunitskii, D. V. Nonlinear hyperbolic systems with two independent variables. (Russian) 
92g:35127 


35L80 Hyperbolic PDE of degenerate type 


Andreev, A. A. The Cauchy problem for some degenerate second- and fourth-order 
hyperbolic systems. (Russian) 92d:35204 

Bystrova, O. K. see Volkodavov, V. F., 92g:35143 

Chen, De Quan see Ji, Xin Hua, 92e:35113 

Chen, Hong see Ling, Ling, (92a:00039) 

,T.G. see Salakhitdinov, M. S., (92m:35002) 

Ezhov, A.M. On the Riemann function for some degenerate operators. (Russian) 
92m:35183 

Hong, Jia Xing Cauchy probl for degenerate hyperbolic Monge-Ampére equations and 
some applications. 924:35205 

Ji, Xin Hua (with Chen, De Quan) A representation of the solution of the Cauchy’s prob- 
lem for a degenerate hyperbolic equation in several independent variables. 92e:35113 

Jian, Su Wen The relation between the differentiability of solution and lower-order terms of 
the Cauchy problem for a class of weakly hyperbolic equations with singular coefficients. 
92h:35146 

Kasimov, Kh. N. Nonlocal boundary value problems for a hyperbolic equation that is 
degenerate in the interior of the domain. (Russian) 92a:35113 

Kharibegashvili, S.S. A characteristic problem for second-order hyperbolic systems with 
degeneration of type and order. (Russian. English and Georgian summaries) 

Kubo, Akisato Well posedness for the mixed probl of degenerate hyperbolic equations. 
92g:35142 

Ling, Ling (with Chen, Hong) Some problems of qualitative researches on ultra-hyperbolic 
equations. (see 92a:00039) 

Nikol/skaya, L. N. The generalized Goursat problem for the Euler-Darboux equation with 
positive parameters in an infinite rectangular domain. (Russian) (see 92a:35004) 

Ogorodnikov, E. N. A nonlocal boundary value problem for a model degenerate system of 
hyperbolic type. (Russian) (see 92d:35008) 

, Kh. O. On a boundary value problem for strongly degenerate hyperbolic 

equations in a space. (Russian) (see 92d:00011) 

Repin, O. A. A nonlocal problem for a hyperbolic equation that is degenerate in the interior 
of the domain. (Russian) (see 92a:35004) 

Salakhitdinov, M.S. (with Ergashev, T. G.) Some local and nonlocal problems for a 
hyperbolic-type equation of the second kind. (Russian) (see 92m:35002) 

Shinkai, Kenzo (with Taniguchi, Kazuo) Fundamental solution for a degenerate hyperbolic 
operator in Gevrey classes. 92m:35184 

Taniguchi, Kazuo A fundamental solution for a degenerate hyperbolic operator of second 
order and Fourier integral operators of complex phase. 92m:35185 

— see also Shinkai, Kenzo, 92m:35184 

Volkodavov, V. F. (with Bystrova, O. K.) Construction of Riemann-Hadamard functions 
for a degenerate equation. (Russian) 92g:35143 

Yamazaki, Taeko On the L?(R”) well-posedness of some singular or degenerate partial 
differential equations of hyperbolic type. 92i:35088 








Items with secondary classifications in 35L80 


Bystrova, O. K. An investigation on boundary value probl for two equations of 
hyperbolic type with n lines of weak degeneracy. (Russian) (see 92d:35005) 

Dosumov, S.T. An inverse problem for a degenerate hyperbolic equation. (Russian) (see 
92d:35008) 

Kozhanov, A. I. Some remarks on pseudohyperbolic equations with third-order dissipation 
of variable direction. (Russian) (see 92e:35003) 

Lavrenyuk, S. P. A mixed problem for an equation of plate-oscillation type that is 
degenerate at a finite moment of time. (Russian) 92k:35175 

de Mottoni, Piero see Xiao, Ling, 92m:35174 

Nochetto, Ricardo H. (with Verdi, Claudio) Approximation of multidimensional Stefan- 
like problems via hyperbolic relaxation. 92a:35165 

Semerdzhieva, Rositsa I. Generalized solutions for a class of quasi-linear hyperbolic 
equations with degenerating principal parts. 

Shinkai, Kenzo Stokes multipliers and a weakly hyperbolic operator. 92¢:35006 

Valiakhmetov, A. A. The local extremum principle for an equation of hyperbolic type with 
strong degeneration on a part of the boundary of the domain. (Russian) (see 92d:35005) 

Verdi, Claudio see Nochetto, Ricardo H., 92a:35165 

Xiao, Ling (with de Mottoni, Piero) On a quasilinear degenerate hyperbolic system of 
conservation laws describing nonlinear advection phenomena. 92m:35174 

Xu, Hong Lian The mixed problem for a class of two-dimensional Euler-Poisson-Darboux 
equations. (Chinese. English summary) 92f:35114 





35L85 Unilateral problems; variational inequalities for hyperbolic 
PDE [see also 35R35, 49J40] 


Bernardi, Marco Luigi (with Luterotti, Fabio; Pozzi, Gianni Arrigo) On a class of singular 
or degenerate hyperbolic variational inequalities. 92j:35130 

Katyshev, V. V. The second boundary value problem for a variational inequality for a 
hyperbolic operator with a constraint on the solution. (Russian) 92h:35147 


35M _ Partial differential equations of special type (mixed, composite, etc.) 


35M10 


Krupenin, V. L. Trapezoidal profiles of a string striking a vibrating wall. (Russian) 
92k:35194 

Luterotti, Fabio see Bernardi, Marco Luigi; et al., 92j:35130 

Pozzi, Gianni Arrigo see Bernardi, Marco Luigi; et al., 92j:35130 

Sapronov, Yu. I. Nonlocal finite-dimensional reductions in variational boundary value 
problems. (Russian) 92g:35144 


Items with secondary classifications in 35L85 

Citrini, Claudio (with D’Acunto, Berardino) A remark on the impact of two vibrating 
strings. 92h:35127 

D’Acunto, Berardino see Citrini, Claudio, 92h:35127 

Sadovskii, V.M. Hyperbolic variational inequalities in problems on the dynamics of 
elastoplastic bodies. (Russian) 92m:73063 


35L99 None of the above, but in this section 


Items with secondary classifications in 35L99 

Barannik, L. F. Exact solutions of the multidimensional Liouville equation. (Russian) (see 
92b:35011) 

Czarnowski, Krzysztof (with Pruszko, Tadeusz) On the structure of fixed point sets of 
compact maps in Bo spaces with applications to integral and differential equations in 
unbounded domain. 92b:47090 

Grasselli, Maurizio (with Kabanikhin, S. I.; Lorenzi, A.) An inverse hyperbolic integrodif- 
ferential problem arising in geophysics. II. 92k:35286 

Kabanikhin, S. 1. see Grasselli, Maurizio; et al., 92k:35286 

Kajitani, Kunihiko (with Wakabayashi, Seiichiro) Propagation of singularities for several 
classes of pseudodifferential operators. (French summary) 92m:35285 

Lorenzi, A. see Grasselli, Maurizio; et al., 92k:35286 

Makhmudov, E. N. Problems on the extremum for discrete and differential inclusions with 
distributed parameters of hyperbolic type. (Russian. Ukrainian summary) 92¢:49016 

Salvatore A. Classical solutions of partial differential inclusions in Banach spaces. 
92h:35252 

Pruszko, Tadeusz see Czarnowski, Krzysztof, 92b:47090 

Serre, Denis Un modéle relaxé pour les cables inextensibles. (English summary) [A relaxed 
model for inextensible strings] 92g:73054 

Shestopalov, V. P. Morse critical points of dispersion equations. (Russian) 924:82099 

Vasil’ev, V. A. Lacunae of hyperbolic partial differential operators and singularity theory. 
(Russian) (see 92f:58004) 

Wakabayashi, Seiichiro see Kajitani, Kunihiko, 92m:35285 

Wald, Robert M. (with Yurtsever, Ulvi) General proof of the averaged null energy 
condition for a massless scalar field in two-dimensional curved spacetime. 92m:81194 

Yurtsever, Ulvi see Wald, Robert M., 92m:81194 


35Mxx Partial differential equations of special type 
(mixed, composite, etc.) {For degenerate types, 
see 35J70, 35K65, 35L80.} 


Items with secondary classifications in 35Mxx 
(Dzhuraev, T. D.) see Boundary value problems for differential equations of mixed types, 
92m:35002 


(Salakhitdinov, M.S.) see Boundary value problems for differential equations of mixed types, 
92m:35002 


Items listed otherwise than by author 


Boundary value problems for differential equations of mixed types * Kpaespie 3aa4H 118 
aubdepenuHanbHbix ypaBHeHHA CMellaHHbIx Tuo. (Russian) [Boundary value problems 
for differential equations of mixed types] 92m:35002 


35M10 PDE of mixed type 


Abdullaev, A. S. A boundary value problem for a mixed equation of three types. (Russian) 
(see 92m:35062) 

Abduvalieva, G. K. (with Sushko, V.G.) Asymptotic representations of solutions of some 
singularly perturbed problems for equations of mixed type. (Russian) 

Alatancang (with Zhang, Zhao Tian) The discrete phenomenon of uniqueness in higher- 
order mixed problems. (Chinese. English summary) 92k:35195 

Aldashev, S. A. The Tricomi problem for a multidimensional Lavrent’ev-Bitsadze equation. 
(Russian. Ukrainian summary) 92c:35081 

Apakov, Yu. P. A problem with discontinuous gluing conditions for an equation of mixed 
type in three-dimensional space. (Russian) (see 92m:35002) 

Astafeva, L. K. Nonlinear boundary value problems of power type for the Lavrent’ev- 
Bitsadze equation. (Russian) (see 92e:00010) 

Azovskii, V. V. Generalized solution of the Cauchy problem for the equation (.¥ ) yuxx + 
Uyy + C;(x, y)u = 0. (Russian) (see 92d:35005) 

Baisugurov, B. A. Membership of the solution of the Tricomi problem for an equation of 
mixed type of the second kind in the class of Hélder functions. (Russian. English and 
Kazakh summaries) 

Bazarbekov, A. B. A criterion for the existence of a strong solution of the Tricomi problem 
for the Gellerstedt equation. (Russian) 92c:35082 

Bazarov, D. Some nonlocal boundary value problems for a second-order elliptic-parabolic 
equation. (Russian) 92h:35148 

— An analogue of the Frankl’ problem for a three-dimensional equation of mixed type. 
(Russian) 92h:35149 

Berdyshev, A. S. A Bitsadze-Samarskii-type problem for a parabolic-hyperbolic equation 
with two lines of degeneracy. (Russian) (see 92m:35002) 

Borisko, N. A. Uniqueness of the solution of two boundary value problems for an equation 
of mixed type of the second kind. (Russian) (see 92d:35003) 





35M10 


Chang, Ch’iu Chiin On a weighted eigenvalue problem of equations of mixed type. 
92£:35106 

Dachev, G. D. On the existence of smooth solutions of boundary value probl 
of equations of mixed type. (Russian) 92h:35151 

Dzhokhadze, O. M. On some variants of Frank!”s problem for the Lavrent'ev-Bitsadze 
equation in a half-plane. 92f:35107 

Dzhuraev, Dzh. T. A boundary value problem for a parabolic-hyperbolic equation with two 
noncharacteristic lines of change of type. (Russian) 92g:35145 

Egisbaev, N.O. A method for proving the well-posedness of the generalized Tricomi 
problem. (Russian) 92d:35206 

Egorov, I. E. (with Fedorov, V. E.) The first boundary value probl 
equation of mixed type. (Russian) 92b:35102 

Ergashev, T.G. An analogue of the Tricomi problem for a mixed parabolic-hyperbolic 
equation of the second kind. (Russian) 92h:35152 

Fedorov, V. E. see Egorov, I. E., 92b:35102 

Islomov, B. Analogues of the Tricomi problem for an equation of mixed parabolic- 
hyperbolic type with two lines and different order of degeneracy. (Russian) 92g:35146 

— see also Salakhitdinov, M. S., 92g:35148 

Kadyrov, R. R. see Mirsagatov, Sh. Sh.; et al., 92h:35154 

Kapustin, N. Yu. (with Sabitov, K. B.) Solution of a problem in the theory of the Frankl’ 
problem for equations of mixed type. (Russian) 92i:35089 

— (with Sabitov, K. B.) On the solution of a problem in the theory of the Frankl’ problem 
for equations of mixed type. (Russian) 92h:35150 

— (with Sabitov, K. B.) On the uniqueness of solutions of the generalized Tricomi problem 
that arises in the theory of the Laval nozzle. (Russian) 

Karatopraklieva, M.G. A nonlocal boundary value problem for an equation of mixed type. 
(Russian) 92k:35196 

Karimov, Sh. T. Problems of Bitsadze-Samarskii type with a normal derivative for the 
general Lavrent’ev-Bitsadze equation. (Russian) 

Khalmuratov, D. The Cauchy problem for a third-order equation of parabolic-hyperbolic 
type. (Russian) (see 92m:35002) 

Khankhasaev, V. N. On the theory of fourth-order nonlinear equations of mixed type. 
(Russian) 92h:35153 

Kobelev, I. A. The problem F for an equation of mixed type in a noncharacteristic domain 
with two lines of degeneracy. (Russian) (see 92d:35003) 

— Uniqueness of the solution of the Gellerstedt problem for an equation of mixed type. 
(Russian) (see 92d:35005) 

Korzhavina, M. V. The problem P for the equation S. (Russian) 92b:35103 

Krumin’, L.E. The problem 7, for an equation of mixed type with a modified Karol’- 
Tricomi operator in a bounded domain. (Russian) (see 92a:35004) 

Kurbankulyev, G. see Meredov, M. 

Kuz'min, A.G. * Hexnaccwueckue ypaBHeHHA CMeWIaHHOro THMa H HX NpHIOKeHHA K 
ra3oqMHamuke. (Russian) [Nonclassical equations of mixed type and their applications to 
gas dynamics] 924:35207 

Lazarenko, L.A. The problem T~ for the Lavrent’ev-Bitsadze equation in a multidimen- 
sional space. (Russian) (see 92a:35004) 

Lerner, M. E. (with Pul‘kina, L. S.) A problem with nonlocal boundary conditions for the 
Lavrent'ev-Bitsadze equation. (Russian) (see 92d:35008) 

— On the formulation and solvability of a class of boundary value problems for the 
Lavrent'ev-Bitsadze equation. (Russian) 92i:35090 

Makarov, S. I. The Tricomi problem with combined gluing conditions for an equation of 
mixed type with two lines of degeneracy. (Russian) (see 92d:35003) 

Makeev, V.I. The problem 7 for the generalized Tricomi equation. (Russian) 92b:35104 

— The problem 775 for the generalized Tricomi equation of mixed type. (Russian) (see 
92d:35003) 

— The problem T~ for the generalized Tricomi equation of mixed type. (Russian) 
92i:35091 

Mamadaliev, N. K. Boundary value problems for a third-order equation of parabolic- 
hyperbolic type of the second kind. (Russian. Uzbek summary) 92g:35147 

— see also Salakhitdinov, M. S. 

Meredov, M. (with Kurbankulyev, G.) A boundary value problem for a system of equations 
of mixed type. (Russian. English summary) 

Mikhailov, K.I. Boundary value problems for an elliptic-parabolic equation. I. (Bulgarian. 
English and Russian summaries) 92m:35186 

Mirsagatov, Sh. Sh. (with Kadyrov, R. R.; Yakubov, O.) Classes of uniqueness for 
solutions of elliptic-parabolic equations in unbounded domains. (Russian. Uzbek 
summary) 92h:35154 

Moiseev, E. I. On the solution of the Frankl’ problem in quadratures. (Russian. English 
summary) 

Muminov, F.M. A nonlocal boundary value problem for a semilinear equation of mixed 
type. (Russian) (see 92d:00011) 

Nagornyi, A.M. Boundary value problems for a third-order equation with an operator of 
mixed type. (Russian) (see 92m:35002) 

Nikolaev, N. Ya. The problem N for an equation of mixed type in an unbounded domain. 
(Russian) (see 92d:35005) 

Popivanov, N. I. (with Schneider, Michael Hellmut) A boundary value problem for the 
nonlinear Tricomi equation in three dimensions. (Russian) 92h:35155 

Pulkina, L.S. see Lerner, M. E., (92d:35008) 

Pyatkov, S.G. Solvability of boundary value problems for a second-order equation of mixed 
type. (Russian) 92f:35108 

Rassias, John M. The well-posed Tricomi-Bitsadze-Lavrentjev problem in the Euclidean 
plane. 92m:35187 

— On the well-posedness of the extended Tricomi-Chaplygin-Frankl problem in a multidi- 
mensional region. 92h:35156 

Repin, O. A. A boundary value problem with M. Saigo’s nonlocal condition for an equation 
of mixed type of the second kind. (Russian) (see 924:35005) 

Root, Robert G. Existence theory for higher order elliptic-parabolic equations with an 

application to elasticity. 92b:35105 

Sabitov, K. B. see Kapustin, N. Yu., 92h:35150and 92i:35089 

Sadybekov, M. A. see Toizhanova, G. D. 


for a class 








for a higher-order 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 610 


Salakhitdinov, M.S. (with Islomov, B.) Boundary value problems for an equation of mixed 
type with two inner lines of degeneracy. (Russian) 92g:35148 

— (with Urinov, A. K.) Problems of Bitsadze-Samarskii type for an equation of mixed type. 
(Russian) 92g:35149 

— (with Mamadaliev, N. K.) The Gellerstedt problem for an equation of parabolic- 
hyperbolic type with a characteristic line of degeneracy. (Russian) 

Saltuganov, N. M. Uniqueness of the solution of an analogue of the Gellerstedt problem 
in an unbounded domain with trapezoidal domains of hyperbolicity. (Russian) (see 
92£:35003) 

Saltykova, N. M. The Bitsadze-Samarskii boundary value problem with discontinuous- 
continuous gluing for an equation of mixed type with two lines of degeneracy. (Russian) 
92g:35150 

Sattarov, A.S. Solution of the Tricomi problem for a mixed-singular equation. (Russian. 
Tajiki summary) 

Schneider, Michael Hellmut see Popivanov, N. I., 92h:35155 

Sun, He Sheng The global solutions of a nonlinear system of equations of changing type. 
92j:35131 

Sushko, V.G. see Abduvalieva, G. K. 

Timergaliev, S. N. The Tricomi problem in the case of a multiply connected domain. 
(Russian) 92c:35083 

Toizhanova, G. D. (with Sadybekov, M. A.) Spectral properties of an analogue of the 
Tricomi problem for an equation of mixed parabolic-hyperbolic type. (Russian. Kazakh 
summary) 

Urinov, A. K. Uniqueness of the solution of some problems of Bitsadze-Samarskii type for 
an equation of mixed type. (Russian) 92a:35114 

— see also Salakhitdinov, M. S., 92g:35149 

Urinov, U. K. Problems for the general Lavrent’ev-Bitsadze equation in a doubly connected 
domain. (Russian. Uzbek summary) 92h:35157 

Vu Van Tkhoa Numerical solution of a problem with Frank!’ and Tricomi conditions for the 
general Lavrent'ev-Bitsadze equation. (Russian) (see 92g:00019) 

Yakubov, O. see Mirsagatov, Sh. Sh.; et al., 92h:35154 

Zhang, Zhao Tian see Alatancang; et al., 92k:35195 


Items with secondary classifications in 35M10 

Abeyaratne, Rohan (with Knowles, James K.) Kinetic relations and the propagation of 
phase boundaries in solids. 92a:73006 

Agoshkov, V. I. * Heo6xoguMbie 4 2OCTaTO4HbIe yCIOBHA pa3spelIMMOCTH HEKOTOPbIX 3a1a4 
quia ranep6omm4eckKux ypaBHeHHit nepBoro nopsayKa. (Russian) [Necessary and sufficient 
conditions for the solvability of some problems for first-order hyperbolic equations] 
92h:35122 

Ames, Karen A. (with Keyfitz, Barbara Lee) Stability of shocks in systems that change type: 
the linear approximation. (see 92a:00036) 

Bocharov, O. B. (with Monakhov, V. N.) Nonisothermal filtration of immiscible fluids with 
variable residual saturations. (Russian) 92h:76080 

Debbaj, Omar Régularité L’ des problémes aux limites de type Hermite et Tricomi. [L”- 
regularity of Hermite and Tricomi boundary value problems] 924:35056 

Gilquin, Hervé Numerical approximation of the motion of an elastic string. (see 92a:00036) 

Hilhorst, Danielle (with Hulshof, Josephus) An elliptic-parabolic problem in combustion 
theory: convergence to travelling waves. 92g:35242 

Hong, Jia Xing Cauchy problems for degenerate hyperbolic Monge-Ampére equations and 
some applications. 92d:35205 

Hulshof, Josephus see Hilhorst, Danielle, 92g:35242 

Kapustin, N. Yu. (with Sabitov, K. B.) The role of the Riccati equation in the theory of 
transonic gas dynamic flows. (Russian. English summary) 92m:76080 

Keyfitz, Barbara Lee (with Warnecke, Gerald G.) The existence of viscous profiles and 
admissibility for transonic shocks. 92i:76063 

— Admissibility conditions for shocks in conservation laws that change type. 92g:35132 

— see also Ames, Karen A., (92a:00036) 

Knowles, James K. see Abeyaratne, Rohan, 92a:73006 

Malovichko, V. A. Solvability of boundary value p 
equations. (Russian. Ukrainian summary) 924:35167 

Moiseev, E. I. Representation of the solution of the Tricomi problem in the form of a 
biorthogonal series. (Russian) 92f:35037 

Monakhov, V. N. see Bocharov, O. B., 92h:76080 

Morawetz, Cathleen S. (with Stevens, D. C.; Weitzner, H.) A numerical experiment on a 
second-order partial differential equation of mixed type. 92i:65153 

Muratbekov, M. B. Separability of an operator of mixed type and the completeness of its 
root vectors. (Russian) 92k:35199 

Muresan, Anton S. Maximum principles for systems of equations of mixed parabolic- 
hyperbolic type. 92h:35028 

Pardis, Cyrus J. On difference methods for the Darboux problem for an equation of mixed 
hyperbolic-parabolic type. 924:65150 

Pul'kina, L.S. Ana priori estimate for the solution of a problem with shift for an equation 
of mixed type. (Russian) (see 92d:35003) 

Sabitov, K. B. On the spectrum of a gasdynamic problem of Frankl’ for equations of mixed 
type. (Russian) 92¢:35086 

— Construction of eigenfunctions of a conjugate Tricomi problem for the Lavrent'ev- 
Bitsadze operator. (Russian) 92f:65131 

— see also Kapustin, N. Yu., 92m:76080 

Sattarov, A.S. Integral representations of the solution of some degenerate equations with a 
singular line. (Russian. Tajiki summary) 924:35062 

— see also Smirnov, M. M., 92£:35039 

Schaeffer, David G. (with Shearer, Michael) Loss of hyperbolicity in yield vertex plasticity 
models under nonproportional loading. 92f:73022 

Shearer, Michael see Schaeffer, David G., 92f:73022 

Smirnov, M. M. (with Sattarov, A. S.) Integral representations and boundary value 
problems for a fourth-order mixed-singular equation. (Russian. Tajiki summary) 
92£:35039 

Stevens, D.C. see Morawetz, Cathleen S.; et al., 92i:65153 

Warnecke, Gerald G. see Keyfitz, Barbara Lee, 92i:76063 





for some systems of differential 





611 1992 


Weitzner, H. see Morawetz, Cathleen S.; et al., 92i:65153 


35M20 PDE of composite type 


Abdurakhmanov, R. Some convolution operators and boundary value problems for 
equations of composite type. (Russian. Tajiki summary) 92a:35115 

Begehr, Heinrich G. W. (with Wen, Guo Chun; Zhao, Zhong Xin) An initial and boundary 
value problem for nonlinear composite type systems of three equations. 92h:35158 

Dzhuraev, T. D. (with Zikirov, O.S.) An equation of composite type. (Russian. Uzbek 
summary) 92b:35106 


— (with Zikirov, O. S.) Boundary value problems for an equation of mixed-composite type. 


(Russian) (see 92m:35002) 
Hulshof, Josephus Spherically symmetric solutions of an elliptic-parabolic Neumann 
problem. 92g:35151 


Kurbatova, N. M. A boundary value problem for a system of first-order equations. (Russian. 


English and Lithuanian summaries) 92h:35159 

Milewski, Jan The limit problem for factorised partial differential equation APu = f. 
(Polish summary) (see 92¢:00013) 

Renner, A.G. Weighted boundary value problems for a class of third-order equations of 
mixed-composite type. (Russian) (see 92d:35003) 

Sanginov, A. On the b y value p for a system of equations of composite type 
that is degenerate on a line. (Russian. Tajiki summary) 

Wen, Guo Chun see Begehr, Heinrich G. W.; et al., 92h:35158 

Zhao, Zhong Xin see Begehr, Heinrich G. W.; et al., 92h:35158 

Zikirov, O.S. see Dzhuraev, T. D., 92b:35106 and (92m:35002) 





Items with secondary classifications in 35M20 

Faizibaev, O. E. see Kaverina, I. A.; et al., (92m:35002) 

Frid Neto, Hermano On a nonlinear hyperbolic problem arising in two-phase flows in 
naturally fractured reservoirs. 92m:35164 

Guo, Yu Zhu (with Qiu, Feng) The boundary value problems and initial-boundary value 
problems for systems of second order partial differential equations. (see 92a:00039) 

Kaverina, I. A. (with Loginov, B. V.; Faizibaev, O. E.) Calculation of eigen- and associated 
elements of some operators of composite type. (Russian) (see 92m:35002) 

Loginov, B. V. see Kaverina, I. A.; et al., (92m:35002) 

Qiu, Feng see Guo, Yu Zhu, (92a:00039) 

Racke, Reinhard (with Shibata, Yoshihiro) Global smooth solutions and asymptotic 
stability in one-dimensional nonlinear thermoelasticity. 92g:35211 

Shibata, Yoshihiro see Racke, Reinhard, 92g:35211 


35M99 None of the above, but in this section 


Mandai, Takeshi Existence and nonexistence of null-solutions for some non-Fuchsian 
partial differential operators with T-dependent coefficients. 92g:35152 


35Nxx Overdetermined systems [see also 58G05, 58G07, 
58Hxx] 


35N05 Overdetermined systems with constant coefficients 


Chrzanowski, Eugeniusz On some problems for the system of diffusion equations with 
overspecified boundary data. 92a:35116 

Nacinovich, Mauro Cauchy problem for overdetermined systems. (Italian summary) 
92a:35117 


Items with secondary classifications in 35N05 


Hernandez Heredero, R. see Martinez Alonso, L.; et al., 92b:35144 

Martinez Alonso, L. (with Medina Reus, E.; Hernandez Heredero, R.) Multidimensional 
localized coherent structures in the bilinear formalism of integrable systems. 92b:35144 

Medina Reus, E. see Martinez Alonso, L.; et al., 92b:35144 

Oberst, Ulrich Multidimensional constant linear systems. 92f:93007 


35N10 Overdetermined systems with variable coefficients 
(general) 


Dudnikov, P. 1. (with Samborskii, S. N.) Linear overdetermined systems of partial 
differential equations, and boundary and initial-boundary value problems for them. 
(Russian) 92m:35188 

Dzhuraev, A. D. Some first-order nonelliptic overdetermined systems and their application. 
(Russian) 92m:35189 

Korovina, M. V. Finiteness of the number of conditions for the agreement of the Cauchy 
problem for overdetermined systems of linear differential equations. (Russian) 

Mikhailov, L.G. On complex methods for some classes of overdetermined systems of 
partial differential equations. (see 92h:00020) 

Samborskii, S. N. see Dudnikov, P. I., 92m:35188 


Items with secondary classifications in 35N10 


Bryant, Robert L. (with Chern, Shiing Shen; Gardner, Robert B.; Goldschmidt, Hubert; 
Griffiths, Phillip A.) * Exterior differential systems. 92h:58007 

Chern, Shiing Shen see Bryant, Robert L.; et al., 92h:58007 

Cosgrove, Christopher M. On an overdetermined Euclidean/Poincaré-invariant system of 
partial differential equations. 92h:58205 

Cosner, Chris On the definition of ellipticity for systems of partial differential equations. 
92h:35060 

Dzhuraev, A. D. A first-order overdetermined elliptic system. (Russian) 92k:35085 

Fushchich, V.I. (with Zhdanov, R. Z.; Revenko, I. V.) General solutions of the nonlinear 
wave equation and the eikonal equation. (Russian. Ukrainian summary) 92m:35177 

Gardner, Robert B. see Bryant, Robert L.; et al., 92h:58007 


35N Overdetermined systems 


Goldschmidt, Hubert see Bryant, Robert L.; et al., 92h:58007 

Griffiths, Phillip A. see Bryant, Robert L.; et al., 92h:58007 

Kopaneva, V.I. An overdetermined problem for a differential equation in a Hilbert space. 
(Russian) 92¢:34075 

Mendoza, Gerardo A. (with Tréves, Francois) Local solvability in a class of overdetermined 
systems of linear PDE. 92i:58177 

Revenko, I. V. see Fushchich, V. 1.; et al., 92m:35177 

Takei, Yoshitsugu The geometry of bicharacteristics and the global existence of holomor- 
phic solutions of systems of linear differential equations. 92k:35013 

Tréves, Francois see Mendoza, Gerardo A., 92i:58177 

Zhdanov, R. Z. see Fushchich, V. L.; et al., 92m:35177 


35N15 0-Neumann problem and generalizations; formal 
complexes [see also 32F20 and 58G05] 


Boas, Harold P. (with Straube, Emil J.) Sobolev estimates for the complex Green operator 
on a class of weakly pseudoconvex boundaries. 92m:35190 
Straube, Emil J. see Boas, Harold P., 92m:35190 


Items with secondary classifications in 35N15 


Adachi, Kenz6 Hdlder estimates for the 9-problem in some convex domains with real 
analytic boundary. 92i:35020 

Amar, E. L?-estimates for 8 in C. 92g:32006 

Beals, Richard (with Stanton, Nancy K.) Estimates on kernels for the -equation and the 
8-Neumann problem. 92b:32026 

Bitar, Liliane Résolution de 8 sur des portions de sphéres ou d’anneaux. [Solution of 3 on 
portions of spheres or annuli] 92f:32025 

Bonami, Aline (with Charpentier, Philippe) Comparing the Bergman and the Szeg6 
projections. 92¢:32018 

— L?-estimates with loss for the Bergman projection and the canonical solution to 3. 
92k:32028 

Catlin, David Extension of CR structures. 92k:32032 

Charpentier, Philippe see Bonami, Aline, 92c:32018 

Chen, So-Chin Global regularity of the 9-Neumann problem in dimension two. 92h:32027 

Christ, Michael On the 3, equation for three-dimensional CR manifolds. 92g:32035 

— On the 8 equation in weighted L? norms in C'. 92j:32066 

Cordaro, Paulo (with Tréves, Francois) Homology and cohomology in hypo-analytic 
structures of the hypersurface type. 92h:32034 

Derridj, Makhlouf (with Tartakoff, David S.) Maximal and semi-maximal estimates for 3, 
on pseudoconvex manifolds. 92g:32036 

— Microlocalisation et estimations pour 3,. [Microlocalization and estimates for 3] (see 
92:35007) 

— (with Tartakoff, David S.) Local analyticity for the 9-Neumann problem and for 0, in 
some model domains without maximal estimates. 92h:32028 

— (with Tartakoff, David S.) Local analyticity for the 2-Neumann problem and 0,—some 
model domains without maximal estimates. 92j:32055 

— Microlocalisation et estimations pour 3, dans quelques hypersurfaces pseudoconvexes. 
(English summary) [Microlocalization and estimates for 8, in some pseudoconvex 
hypersurfaces] 92k:32029 

Dzhuraev, A. D. Holomorphic vectors in C? and kernel matrices. (Russian) 92h:32029 

Epstein, Charles (with Melrose, Richard B.; Mendoza, Gerardo A.) Resolvent of the 
Laplacian on strictly pseudoconvex domains. 92i:32016 

Forness, John Erik (with Sibony, Nessim) On L? estimates for 9. 92h:32030 

Geller, Daryl Approximate projections and analytic pseudolocality of the Szegé projection 
on domains in C?. 92j:32083 

Greiner, Peter On second order hypoelliptic differential operators and the -Neumann 
problem. 92i:32017 

Ho, Lop-Hing Sufficient conditions for subellipticity of the 2-Neumann problem on 
nonpseudoconvex domains. 92m:32023 

— 8-problem on weakly q-convex domains. 92j:32052 

Melrose, Richard B. see Epstein, Charles; et al., 92i:32016 

Mendoza, Gerardo A. see Epstein, Charles; et al., 92i:32016 

Meng, Xiang Wu 7-operator in C" and its applications. 92d:32022 

Peters, Klaus Solution operators for the 9-equation on nontransversal intersections of 
strictly pseudoconvex domains. 92m:32007 

Polking, John C. The Cauchy-Riemann equations in convex domains. 92j:32058 

Salinas, Norberto Noncompactness of the -Neumann problem and Toeplitz C*-algebras. 
92j:32086 

Schmalz, Gerd Solution of the 3-equation on th strictly g-concave domains with 
Hélder estimates and the Andreotti-Vesentini separation theorem. 92f:32026 

Shaw, Mei-Chi L? estimates for local solutions of 9, on strongly pseudo-convex CR 
manifolds. 92b:32028 

— Local solvability and estimates for 9, on CR manifolds. 92j:32059 

— L? existence theorems for the 8,-Neumann problem on strongly pseudoconvex CR 
manifolds. 92j:32060 

Sibony, Nessim see Fornass, John Erik, 92h:32030 

Soraggi, Roberto Luiz The Cauchy-Riemann operator in infinite-dimensional spaces. 
92g:46056 

— The 8-problem for a (0, 2)-form in a D.F.N. space. 92g:46057 

Stanton, Nancy K. see Beals, Richard, 92b:32026 

Takegoshi, Kenshé A new method to introduce a priori estimates for the 9 Neumann 
problem. 92h:32031 

Tartakoff, David S. see Derridj, Makhlouf, 92g:32036; 92h:32028 and 92j:32055 

Tréves, Francois see Cordaro, Paulo, 92h:32034 

Ueki, Naomasa A probabilistic approach to the heat equation for the 8-Neumann problem. 
92k:58265 





35N99 None of the above, but in this section 





35N99 


Items with secondary classifications in 35N99 


Shirinbekov, M. On the theory of the generalized Cauchy-Riemann system in two complex 
variables. (Russian) 92m:32010 


35Pxx Spectral theory and eigenvalue problems for 
partial differential operators [see also 47 Axx, 
47Bxx, 47F05] 


(Birman, M. Sh.) see Estimates and asymptotics for discrete spectra of integral and 
differential equations, 92g:35153 


Items listed otherwise than by author 


Estimates and asymptotics for discrete spectra of integral and differential equations 
* Estimates and asymptotics for discrete spectra of integral and differential equations. 
92g:35153 

Leningrad * Estimates and asymptotics for discrete spectra of integral and differential 
equations. 92g:35153 


Mathematical Physics * Estimates and asymptotics for discrete spectra of integral and 
differential equations. 92g:35153 


Items with secondary classifications in 35Pxx 
(Lazarov, Raicho D.) see Integral equations and inverse problems, 92b:35006 


(Petkov, Vesselin M.) see Integral equations and inverse problems, 92b:35006 
Ramm, A. G. * Random fields estimation theory. 92g:00012 


Items listed otherwise than by author 
Conference: 
Integral Equations and Inverse Problems * Integral equations and inverse problems. 
92b:35006 


Integral equations and inverse problems * Integral equations and inverse problems. 
92b:35006 


Varna * Integral equations and inverse problems. 92b:35006 


35P05 General spectral theory of PDE 


Auberson, G. On a class of spectral problems admitting partial algebraization. 92d:35208 

Birman, M. Sh. (with Raikov, George D.) Discrete spectrum in the gaps for perturbations 
of the magnetic Schrédinger operator. (see 92g:35153) 

Bratus’, A.S. (with Myshkis, A.D.) Extremal eigenvalue problems with a free boundary for 
the Laplace operator and their applications. (Russian) 92¢:35084 

Brown, Russell M. The trace of the heat kernel in domains with nonsmooth boundaries. 
(see 92m:00047) 

Brummelhuis, R. (with Uribe, Alejandro) A semi-classical trace formula for Schrédinger 
operators. 92¢:35085 

Budaev, B. V. Diffraction of elastic waves by wedge-shaped structures. (Russian. English 
summary) 92a:35118 

Colin de Verdiere, Yves Sur les singularités de van Hove génériques. [On generic van Hove 
singularities] 92h:35160 


Danilov, L. 1. On the spectrum of the Dirac operator in R” with periodic potential. (Russian. 


English summary) 92a:35119 

De Bievre, S. (with Pravica, D. W.) Spectral analysis for optical fibres and stratified fluids. 
I. The limiting absorption principle. 92e:35114 

Derezinski, Jan Exponential bounds in cones for eigenfunctions of N-body Schrédinger 
operators. II. 92g:35154 

Dubrovskii, V. V. see Sadovnichii, V. A.’, 92h:35161 

Egorov, Yurii Vladimirovich (with Kondrat’ev, V. A.) The negative spectrum of an elliptic 
operator. (Russian) 92d:35209 

Friedlander, Leonid On the spectrum of the periodic problem for the Schrédinger operator. 
92i:35092a 

— Erratum to: “On the spectrum of the periodic problem for the Schrédinger operator”. 
92i:35092b 

Gérard, Christian Résonances et time decay en limite semiclassique. [Resonances and time 
decay in the semiclassical limit] (see 92f:35007) 

Giga, Yoshikazu see Yoshida, Zensho, 92a:35120 

Hempel, Rainer (with Herbst, Ira W.; Hinz, Andreas M.; Kalf, Hubert) Intervals of dense 


point spectrum for spherically symmetric Schrédinger operators of the type —A + cos |x|. 
92:35109 


Herbst, Ira W. see Hempel, Rainer; et al., 92f:35109 

Hinz, Andreas M. see Hempel, Rainer; et al., 92f:35109 

Howland, James S. Spectral concentration for dense point spectrum. 92b:35107 

Ikebe, Teruo (with Shimada, Shin-ichi) Spectral and scattering theory for the Schrédinger 
operators with penetrable wall potentials. 92b:35108 

Jerison, David The first nodal line of a convex planar domain. 924:35210 

Kalf, Hubert see Hempel, Rainer; et al., 92f:35109 

Karpeshina, Yu. E. Perturbation theory for Schroedinger operator with a periodic potential. 
92m:35191 

Kondrat'ev, V. A. see Egorov, Yurii Viadimirovich, 924:35209 

Larin, A. A. Properties of the eigenfunctions of some singular elliptic operators. (Russian) 
92g:35155 

Melin, Anders On functions of the Schrédinger operator and a trace formula. 92j:35132 

Myshkis, A. D. see Bratus’, A. S., 92c:35084 

Ozawa, Shin Fluctuation of spectra in random media. II. 92j:35133 

Pravica, D. W. see De Bievre, S., 92e:35114 

Piitter, Rolf On the nodal lines of second eigenfunctions of the free membrane problem. 
92¢:35156 

Raikov, George D. see Birman, M. Sh., (92g:35153) 


Ramm, A. G. Symmetry properties of scattering amplitudes and applications to inverse 
problems. 924:35211 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 612 


Rasulov, T. M. Solution of the first boundary value spectral problem for a system of the 
static theory of elasticity with a complex parameter. (Russian) 92g:35157 

Sabitov, K. B. On the spectrum of a gasdynamic problem of Frankl’ for equations of mixed 
type. (Russian) 92¢:35086 

Sadovnichii, V. A.’ (with Dubrovskii, V. V.) A formula for the first regularized trace of the 
Laplace-Beltrami operator with potential. (Russian) 92h:35161 

Shimada, Shin-ichi see Ikebe, Teruo, 92b:35108 

Tayoshi, Takao Nonexistence of positive eigenval: 
domain with unbounded boundary. 92h:35162 

Uribe, Alejandro see Brummelhuis, R., 92c:35085 

Werner, Peter Resonance phenomena in periodic structures. 92b:35109a 

— Resonances in periodic media. 92b:35109b 

Xu, Gen Qi A spectral analysis of a class of abstract dynamic operators. (Chinese) 
92h:35163 

Yamamoto, Kazuhiro The behavior of the analytically continued resolvent operator near 
x = 0 and an application to energy decay. 92j:35134 

Yoshida, Zensho (with Giga, Yoshikazu) Remarks on spectra of operator rot. 92a:35120 

Zaretskaya, M. A. On the spectrum of quadratic operators that are different from normal 
ones. (Russian) 92b:35110 





of the Schrédinger operator in a 


Items with secondary classifications in 35P05 

Agmon, Shmuel A representation theorem for solutions of the Helmholtz equation and 
resolvent estimates for the Laplacian. 92a:35043 

Agranovich, M.S. Spectral properties of elliptic operators of negative order. (see 
92b:35006) 

Albrecht, Ernst (with Ricker, Werner J.) Local spectral properties of constant coefficient 
differential operators in L?(R"). 92b:47048 

Anderson, Michael T. Remarks on the compactness of isospectral sets in low dimensions. 
92m:58140 

Ashurov, R. R. On an asymptotic estimate in L for the spectral function of nonselfadjoint 
operators. (Russian) 92b:47073 

— Bi-orthogonal expansions of a nonselfadjoint Schrédinger operator. (Russian) 92g:47071 

Avez, André Massivité des espaces de Sobolev et spectre du Laplacien des variétés 
Riemanniennes compactes. [Massiveness of Sobolev spaces and spectrum of the 
Laplacian of compact Riemannian manifolds] 92d:58208 

Barkar’, S. M. On the spectrum of a boundary value p 
(Russian. English and Moldavian summaries) 92i:47054 

Belleni-Morante, Aldo see Lauro, Giuliana, (92m:47001) 

Birman, M. Sh. Discrete spectrum in the gaps of a continuous one for perturbations with 
large coupling constant. (see 92g:35153) 

Bochenek, Jan On positive eigenvectors of a linear eigenvalue problem. 92f:47049 

Boimatov, K. Kh. Spectral projectors of hypoelliptic operators. (Russian) 92i:47056 

Capodanno, Pierre Une note sur l’effet d’une cavité d’air sur les vibrations d’une membrane 
de tambour. [A note on the effect of an air cavity on the vibrations of a drum membrane] 
92i:76084 

Chang, Ch’iu Chiin On a weighted eig lue probl 
92£:35106 

Chenais, D. (with Rousselet, Bernard) Dependence of the buckling load of a nonshallow 
arch with respect to the shape of its midcurve. (French summary) 92d:73028 

Chobanov, Georgi Iv. (with Marino, Antonio; Scolozzi, D.) Evolution equation for 
the eigenvalue problem for the Laplace operator with respect to an obstacle. (Italian 
summary) 92m:35049 

Cranston, M.C. (with Zhao, Zhong Xin) Some regularity results and eigenfunction 
estimates for the Schrédinger operator. 92d:35080 

Dancer, E. N. Upper and lower stability and index theory for positive mappings and 
applications. 92k:47122 

Davis, Burgess Intrinsic ultracontractivity and the Dirichlet Laplacian. 92k:35065 

DeTurck, Dennis M. Audible and inaudible geometric properties. 92i:58197 

Deuring, Paul Addendum: “An integral operator related to the Stokes system in exterior 
domains” [Math. Methods Appl. Sci. 13 (1990), no. 4, 323-333; MR 911:35151]. 

Devinatz, Allen (with Moeckel, Richard; Rejto, Peter) A limiting absorption principle for 
Schrédinger operators with von Neumann-Wigner type potentials. 92f:35051 

Dias, Joaio-Paulo (with Figueira, Mario) The simplified Wheeler-DeWitt equation: the 
Cauchy problem and some spectral properties. (French summary) 924:83036 

Donnelly, Harold (with Fefferman, Charles L.) Growth and geometry of eigenfunctions of 
the Laplacian. 92:58184 

— (with Fefferman, Charles L.) Nodal sets of eigenfunctions: Riemannian manifolds with 
boundary. 92¢:58216 

— (with Fefferman, Charles L.) Nodal sets for eigenfunctions of the Laplacian on surfaces. 
924:58209 

Eickermann, Th. (with Spatschek, K. H.) The “IST” as a diagnostic tool for perturbed 
nonlinear Schrédinger systems. (see 92a:00040) 

Eidus, D. The perturbed Laplace operator in a weighted L?-space. 92k:35061 

Evans, William Desmond (with Lewis, Roger T.; Saito, Yoshimi) Eigenvalue properties of 
nonisotropic Schrédinger operators with applications. (see 92m:00046) 

Fefferman, Charles L. see Donnelly, Harold, 92d:58209; 92e:58216 and 92£:58184 

Figueira, Mario see Dias, Joao-Paulo, 92d:83036 

Gieseker, D. (with Knérrer, Horst; Trubowitz, Eugene) An overview of the geometry of 
algebraic Fermi curves. 92i:14026 

(Gindikin, S.G.) see Spectral theory of operators, 92m:00059 

Gurarie, David 2-sphere Schrédinger operators with odd potentials. 92e:58218 

Helffer, B. (with Sjéstrand, Johannes) Semiclassical analysis for Harper’s equation. III. 
Cantor structure of the spectrum. (French summary) 92m:35011 

Howland, James S. A note on spectral concentration for nonisolated eigenvalues. 92g:47013 

losif'yan, G. A. see Oleinik, O. A.; et al., 92a:73021 

Isozaki, Hiroshi Some remarks on the multi-dimensional Borg-Levinson theorem. 
92h:35239 

(Ivanov, Simeon) see Spectral theory of operators, 92m:00059 

Kalenyuk, P.1. (with Nitrebich, Z. N.) A multiparameter analogue of the M. V. Keldysh 
system that determines chains of eigen- and associated vectors of operator pencils 





in the open right half-plane. 





of equations of mixed type. 





613 1992 


associated with operator-differential equations. (Russian) 92c:47018 

Khryashchév, S. V. Discrete spectrum for a periodic Schroedinger operator perturbed by a 
decreasing potential. 92f:34078 

Kikuchi, Koji (with Tamura, Hideo) Limiting amplitude principle for acoustic propagators 
in perturbed stratified fluids. 92h:35119 

Kiselev, A. A. (with Popov, I. Yu.) Higher moments in a zero-width aperture model. 
(Russian. English summary) 92m:35050 

Knérrer, Horst see Gieseker, D.; et al., 92i:14026 

Kozlov, Vladimir Arkad’evich (with Maz'ya, V.G.) On the spectrum of an operator pencil 
generated by the Neumann problem in a cone. (Russian) 92m:47093 

— (with Rossmann, Jiirgen) On the behaviour of the spectrum of parameter-dependent 
operators under small variation of the domain and an application to operator pencils 
generated by elliptic boundary value problems in a cone. 92m:47095 

— On the spectrum of a pencil generated by the Dirichlet problem for an elliptic equation in 
an angle. (Russian) 92m:47094 

Kreith, Kurt A selfadjoint problem for the wave equation in higher dimensions. 92a:35096 

Kipper, Tassilo Verzweigung aus dem wesentlichen Spektrum. [Bifurcation from the 
essential spectrum] 92¢:58042 

Lauro, Giulianz (with Belleni-Morante, Aldo) On some spectral properties of the streaming 
operator with mollified boundary conditions. (see 92m:47001) 

Lévy-Bruhl, Pierre Spectre d’opérateurs de Schrédinger avec potentiel et champ magnétique 
polynomiaux. [Spectrum of Schrédinger operators with polynomial potential and 
magnetic field] 92i:35038 

Lewis, Roger T. see Evans, William Desmond; et al., (92m:00046) 

Li, Peter (with Treibergs, Andrejs; Yau, Shing-Tung) How to hear the volume of convex 
domains. 92m:35272 

Lieb, Elliott H. Bounds on Schrédinger operators and generalized Sobolev-type inequalities 
with applications in mathematics and physics. (see 91m:26002) 

Lifschitz, Alexander E. Essential spectrum and local stability condition in hydrodynamics. 
92a:76021 

Lin, Fang-Hua An eigenvalue problem on negatively curved manifolds. 92m:58144 

Marino, Antonio see Chobanov, Georgi Iv.; et al., 92m:35049 

Martinez, André Résonances dans l’approximation de Born-Oppenheimer. I. (English 
summary) [Resonances in the Born-Oppenheimer approximation. I] 92c:81027 

Maz’ya, V.G. see Kozlov, Viadimir Arkad'evich, 92m:47093 

Miklavtit, Milan Eigenvalues of the Orr-Sommerfeld equation. 92c:35098 

Moeckel, Richard see Devinatz, Allen; et al., 92f:35051 

Najman, B. Resolvent estimates for singularly perturbed elliptic operators. (Serbo-Croatian 
summary) 92¢:35017 

Nakamura, Shu! Semiclassical resolvent estimates for the barrier top energy. 92k:81037 

(Nazaikinskii, V. E.) see Zhitomirskaya, S. Ya., 92j:81039 

Nitrebich, Z. N. see Kalenyuk, P. I., 92c:47018 

Oleinik, O. A. Spectral properties of operators singularly depending on parameters and 
applications to mathematical physics. 92e:47128 

— (with Sanchez-Hubert, Jacqueline; Iosif'yan, G. A.) On vibrations of a membrane with 
concentrated masses. (French summary) 92a:73021 

Orochko, Yu. B. Spectral representation of a hyperbolic evolution process that is connected 
with the Sturm-Liouville differential expression. (Russian) 92d:47058 

Papanicolaou, Vassilis G. Almost periodic potentials in higher dimensions. 92m:35061 

Pempinelli, F. Solitons and spectral transform for the Kadomtsev-Petviashvili equation. 
92b:35131 

Popov, I. Yu. see Kiselev, A. A., 92m:35050 

Radkevich, E. V. The spectrum of the pencil of a two-phase Stefan problem. (Russian) 
92¢:35127 

Raikov, George D. The spectrum of a linear magnetohydrodynamic model with cylindrical 
symmetry. 92j:76107 

Rassias, Themistocles M. The isoperimetric inequality and eigenvalues of the Laplacian. 
92h:58200 

Rasulov, T. M. Construction of a strongly quasiregular kernel of potential for the solution of 
a spectral problem. (Russian) 92f:35038 

Rejto, Peter see Devinatz, Allen; et al., 92f:35051 

Ricker, Werner J. see Albrecht, Ernst, 92b:47048 

Rossmann, Jiirgen see Kozlov, Viadimir Arkad’evich, 92m:47095 

Rousselet, Bernard see Chenais, D., 92d:73028 

Sadybekov, M. A. see Toizhanova, G. D. 

Saitd, Yoshimi see Evans, William Desmond; et al., (92m:00046) 

Sanchez-Hubert, Jacqueline see Oleinik, O. A.; et al., 92a:73021 

Schaaf, Renate (with Schmitt, Klaus) Periodic perturbations of linear problems at 
resonance on convex domains. 92a:35046 

Schmitt, Klaus see Schaaf, Renate, 92:35046 

Scolozzi, D. see Chobanov, Georgi Iv.; et al., 92m:35049 

Seeger, Andreas Endpoint estimates for multiplier transformations on compact manifolds. 
921:58166 

Shima, Tadashi On eigenvalue problems for the random walks on the Sierpiriski pre-gaskets. 
92g:60094 

Shubin, M. A. Weak Bloch property and weight estimates for elliptic operators. 92f:58167 

Shul‘man, V.S. Multiplication operators and spectral synthesis. (Russian) 92f:47016 

Simon, Barry The Neumann Laplacian of a jelly roll. 92f:58188 

Sjéstrand, Johannes see Helffer, B., 92m:35011 and Shubin, M. A., 92£:58167 

Skubachevskii, A. L. (with Tsvetkov, E. L.) The second boundary value probl 
differential-difference equations. (Russian) 92b:35163 

Sohrab, Houshang H. Normal solvability criteria for certain pseudo-differential operators 
with nontemperate symbols. 92b:47082 

Spatschek, K. H. see Eickermann, Th., (92a:00040) 

Sweers, Guido Strong positivity in C(Q) for elliptic systems. 92):35046 

Tamura, Hideo Propagation estimate for N-body quantum systems. 92c:81220 

— see also Kikuchi, Koji, 92h:35119 

Thangavelu, S. Hermite expansions on R2" for radial functions. 92h:42039 

Toizhanova, G. D. (with Sadybekov, M. A.) Spectral properties of an analogue of the 
Tricomi problem for an equation of mixed parabolic-hyperbolic type. (Russian. Kazakh 











for elliptic 


35P Spectral theory and eigenvalue problems for partial differential operators 


summary) 

Treibergs, Andrejs see Li, Peter; et al., 92m:35272 

Trubowitz, Eugene see Gieseker, D.; et al., 92i:14026 

Tsvetkov, E. L. see Skubachevskii, A. L., 92b:35163 

Viterbo, Claude An introduction to symplectic topology. (see 92d:35009) 

Winiarska, Teresa Eigenvalues and eigenspaces with a parameter. (Russian summary) 
92j:47141 

Wong, M. W. The spectra of the Laplacian. 92f:47050 

Wa, Hong You Symmetric properties of eigenfunctions of the Laplace operator on compact 
Riemannian manifolds. 92a:58148 

Xu, Zhen Yuan' A function theory for the operator D — 4. 92b:47074 

Yamada, Osanobu Spectral theory of magnetic Schrédinger operators with exploding 
potentials. 92b:35047 

Yau, Shing-Tung see Li, Peter; et al., 92m:35272 

Yoshino, Masafumi Representation formula for cluster sets of eigenvalues. 92i:58194 

Zayed, E.M. E. Heat equation for a general convex domain in R? with a finite number of 
piecewise impedance boundary conditions. 92f:35072 

— An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R?. 
92d:35305 

Zhao, Zhong Xin see Cranston, M. C., 92d:35080 

Zhitomirskaya, S. Ya. Singular spectral properties of a one-dimensional Schrédinger 
operator with almost periodic potential. 92j:81039 


Items listed otherwise than by author 
American Mathematical Society Translations, Series 2 * Spectral theory of operators. 
92m:00059 
Novgorod * Spectral theory of operators. 92m:00059 
School: 
Operators in Functional Spaces * Spectral theory of operators. 92m:00059 
Spectral theory of operators * Spectral theory of operators. 92m:00059 


35P10 Completeness of eigenfunctions, eigenfunction expansions 
for PDO 


Bastys, Algirdas J. Divergence almost everywhere of Riesz means of spectral expansions 
in eigenfunctions of the Laplace operator. (Russian. English and Lithuanian summaries) 
92a:35121 

Ilin, Viadimir Aleksandrovich The Riesz basis property for systems of root vector functions 
for a discontinuous Schrédinger operator with matrix potential. (Russian) 92k:35197 

— (with Moiseev, E. I.) A mean-value formula for root functions of the Schrédinger 
operator. (Russian) 92k:35198 

Kipriyanova, N. 1. Uniform convergence of expansions in eigenfunctions of a B-harmonic 
operator in a closed domain. (Russian) 

Lyashenko, A. A. On the completeness of the system of generalized eigenfunctions of an 
operator generated by the first boundary value problem for the S. L. Sobolev equation. 
(Russian) 92j:35135 

Metvalli, A. A. Uniform convergence of spectral expansions of a singular elliptic operator. 
(Russian. Uzbek summary) 92g:35158 

Moiseev, E.1I. The basis property of eigenfunctions of a nonlocal boundary value problem. 
(Russian) 92h:35164 

— see also lin, Viadimir Aleksandrovich, 92k:35198 

Muratbekov, M. B. Separability of an operator of mixed type and the completeness of its 
root vectors. (Russian) 92k:35199 

Yoshida, Zensho Eigenfunction expansions associated with the curl derivatives in cylindri- 
cal geometries: completeness of Chandrasekhar-Kendall eigenfunctions. 92m:35192 


Items with secondary classifications in 35P10 


Barnovska, M. (with Il'in, V. A.) On the order of equiconvergence almost everywhere of 
Riesz means of nonselfadjoint extensions of the Laplace operator. (Russian. English 
summary) 92m:47089 

Colzani, Leonardo Riesz means of eigenfunction expansions of elliptic differential operators 
on compact manifolds. (Italian summary) 92b:58232 

— (with Travaglini, Giancarlo) Hardy-Lorentz spaces and expansions in eigenfunctions of 
the Laplace-Beltrami operator on compact manifolds. 92¢:58142 

— (with Travaglini, Giancarlo) Estimates for Riesz kernels of eigenfunction expansions of 
elliptic differential operators on compact manifolds. 92i:58176 

Faierman, Mel An oblique derivative problem involving an indefinite weight. 92a:35044 

Friedlander, F.G. Notes on closed billiard ball trajectories in polygonal domains. II. 
92m:35155 

Horvath, Miklés The vibration of a membrane in different points. 92j:35108 

IVin, V. A. see Barnovské, M., 92m:47089 

Kamimura, Yutaka An expansion formula for spectral functions. 924:47036 

Makin, A.S. Riesz means of bi-orthogonal expansions in root functions of nonselfadjoint 
extensions of the Schrédinger operator. (Russian) 92m:47096 

Makin, R.S. On the completeness of root vectors of a linearized problem on the dynamics 
of nuclear reactors. (Russian) 92d:82111 

Markov, K. V. Nonselfadjoint L-A-representation for some nonlinear nonlocal problems. 
(Russian) 92¢:35151 

Smirnov, Yu. G. The method of operator pencils in boundary value problems of conjugation 
for a system of elliptic equations. (Russian) 92m:35073 

Travaglini, Giancarlo see Colzani, Leonardo, 92c:58142 and 92i:58176 


35P15 Estimation of eigenvalues, upper and lower bounds 


Arrieta, José M. (with Hale, Jack K.; Han, Qing) Eigenvalue problems for non-smoothly 
perturbed domains. 92f:35110 

Ashbaugh, Mark S. (with Benguria, Rafael D.) Isoperimetric bound for A3/A2 for the 
membrane problem. 92h:35165 

Atabaev, A. see Toraev, A., 92d:35212 

Benguria, Rafael D. see Ashbaugh, Mark S., 92h:35165 





35P15 


Birman, M. Sh. (with Solomyak, M. Z.) Negative discrete spectrum of the Schroedinger 
operator with large coupling constant: a qualitative discussion. 92j:35136 

— (with Solomyak, M. Z.) The estimates for the number of negative bound states of the 
Schrédinger operator for large coupling constants. 92g:35159 

Chen, Zu Chi (with Qian, Chun Lin) Estimates for discrete spectrum of Laplacian operator 
with any order. (Chinese summary) 92c:35087 

Conca, C. Bloch decomposition of an eigenvalue problem involving Helmholtz equation. 
92m:35193 

Evans, William Desmond (with Lewis, Roger T.; Saitd, Yoshimi) Some geometric spectral 
properties of N-body Schrédinger operators. 92h:35166 

Faizibaev, O. E. see Kaverina, I. A.; et al., (92m:35002) 

Giorgadze, M. G. (with Myshkis, A. D.) A problem for the isoperimetric extremum of an 
eigenvalue. (Russian) 92k:35200 

Hale, Jack K. see Arrieta, José M.; et al., 92f:35110 

Han, Qing see Arrieta, José M.; et al., 92f:35110 

Hook, Stephen M. Bounds for the fundamental frequencies of an elastic medium. 
92m:35194 

Kaverina, I. A. (with Loginov, B. V.; Faizibaev, O. E.) Calculation of eigen- and associated 
elements of some operators of composite type. (Russian) (see 92m:35002) 

Lewis, Roger T. see Evans, William Desmond; et al., 92h:35166 

Loginov, B. V. see Kaverina, I. A.; et al., (92m:35002) 

La, Zhi Qin On estimates of the first eigenvalue of the Laplacian of the convex domain on a 
2-dimensional sphere. 92k:35201 

Mohamed, Abdérémane (with Nourrigat, J.) Encadrement du N(A) pour un opérateur de 
Schrédinger avec un champ magnétique et un potentiel électrique. [Two-sided estimation 
of N(A) for a Schrédinger operator with a magnetic field and an electric potential] 
92a:35122 

Myshkis, A. D. see Giorgadze, M. G., 92k:35200 

Nourrigat, J. see Mohamed, Abdérémane, 92a:35122 

Plum, Michael Bounds for eigenvalues of second-order elliptic differential operators. 
92h:35167 

Prikazchikov, V.G. An asymptotic estimate for the accuracy of a discrete spectral problem 
for a fourth-order equation. (Russian) 92i:35093 

Qian, Chun Lin see Chen, Zu Chi; et al., 92c:35087 

Rassias, Themistocles M. Eigenvalues of the Laplacian. 92g:35160 

Saitd, Yoshimi see Evans, William Desmond; et al., 92h:35166 

Sjéstrand, Johannes Estimations sur les résonances pour le laplacien avec une perturbation 
4 support compact. [Resonance estimates for the Laplacian with compactly supported 
perturbation] (see 92f:35007) 

Solomyak, M. Z. see Birman, M. Sh., 92g:35159 and 92j:35136 

Toraev, A. (with Atabaev, A.) Negative eigenvalues of elliptic operators. (Russian. English 
summary) 924:35212 

Tyurin, K.1. Extremal properties of eigenvalues of the Laplace operator on a ball. (Russian) 
92j:35137 


Items with secondary classifications in 35P15 

Bandle, Catherine Uber die Payne-Pélya-Weinbergersche Vermutung. [On the Payne-Polya- 
Weinberg conjecture] 

Baiuelos, Rodrigo Intrinsic ultracontractivity and eigenfunction estimates for Schrédinger 
operators. 92k:35066 

Bérard, Pierre A lower bound for the least eigenvalue of A+ V. 92e:58214 

Berger, Ginter Different eigenvalue asymptotics for Dirichlet and Neumann boundary 
conditions of elliptic operators of second order in some irregular domains. 92g:35161 

Camera, G. A. Some inequalities for the first eigenvalue of the Laplace-Beltrami operator. 
92¢:58147 

Dittmar, Bodo (with Schenk, Birgit) Zur Berechnung Stekloffscher Eigenwerte—numerische 
Beispiele. (English summary) [On the computation of Steklov eigenvalues—numerical 
examples] 924:65181 

Escobar, José F. Uniqueness theorems on conformal deformation of metrics, Sobolev 
inequalities, and an eigenvalue estimate. 92f:58038 

Feldman, Joel (with Knoérrer, Horst; Trubowitz, Eugene) Perturbatively unstable eigenval- 
ues of a periodic Schrédinger operator. 92k:35067 

Gardner, Robert Alan Stability and Hopf bifurcation of steady state solutions of a singularly 
perturbed reaction-diffusion system. 92k:35143 

Haaren, E. see Still, G.; et al., 92d:65184 

Han, Wei Min The best constant in a trace inequality. 92j:35033 

Hersch, Joseph (with Sawyer, William) Numerical implementation of coherence for the 
example of the “Swiss cross”. 92j:65162 

Hettich, R. see Still, G.; et al., 924:65184 

Kenzhebaeva, M.S. (with Turmukhambetov, D. N.) Estimates for the s-numbers of 
a nonselfadjoint Schrédinger operator. (Russian. English and Kazakh summaries) 
92k:47093 

Knorrer, Horst see Feldman, Joel; et al., 92k:35067 

Kordyukov, Yu. A. L’-theory of elliptic differential operators on manifolds of bounded 
geometry. 92f:58164 

Kozlov, Viadimir Arkad’evich (with Maz'ya, V.G.) On the spectrum of an operator pencil 
generated by the Dirichlet problem in a cone. 92i:35045 

Laura, P. A. A. Optimization of eigenvalues according to Lord Rayleigh’s criterion. 
(Spanish) 92j:49044 

Lerner, Nicolas (with Nourrigat, J.) Lower bounds for pseudo-differential operators. 
(French summary) 92a:35172 

Leung, Pui Fai On the consecutive eigenvalues of the Laplacian of a compact minimal 
submanifold in a sphere. 924:58212 

Levillain, Vincent Eigenvalue approximation by a mixed method for resonant inhomoge- 
neous cavities with metallic boundaries. 92f:65130 

Lichnerowicz, André La premiére valeur propre de l’opérateur de Dirac pour une variété 
kahlérienne et son cas limite. (English summary) [The first eigenvalue of the Dirac 
operator for a Kahler manifold and the limiting case] 92a:58147 

Mar'ya, V.G. see Kozlov, Viadimir Arkad’evich, 92i:35045 

Nourrigat, J. see Lerner, Nicolas, 92a:35172 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 614 


Payne, Lawrence E. Some comments on the past fifty years of isoperimetric inequalities. 
92f:26042 

— (with Philippin, G. A.) Some overdetermined boundary value problems for harmonic 
functions. (French summary) 92j:35035 

Philippin, G. A. see Payne, Lawrence E., 92j:35035 

Rempel, S. (with Schmidt, Gunther) Eigenvalues for spherical domains with corners via 
boundary integral equations. 924:65183 

Robert, D. (with Wang, Xue Ping) Time-delay and spectral density for Stark Hamiltonians. 
II. Asymptotics of trace formulae. 92k:35210 

Sawyer, William see Hersch, Joseph, 92j:65162 

Schenk, Birgit see Dittmar, Bodo, 924:65181 

Schmidt, Gunther see Rempel, S., 92d:65183 

Siedentop, Heinz (with Weikard, Rudi) A new phase space localization technique with 
application to the sum of negative eig lues of Schrédinger operators. 92d:81152 

Simon, Barry Fifty years of eigenvalue perturbation theory. 92i:81059 

Still, G. (with Haaren, E.; Hettich, R.) A numerical comparison of two approaches to 
compute membrane eigenvalues by defect minimization. 924:65184 

Trubowitz, Eugene see Feldman, Joel; et al., 92k:35067 

Turmukhambetov, D. N. see Kenzhebaeva, M. S., 92k:47093 

Wang, Xue Ping see Robert, D.; et al., 92k:35210 

Weikard, Rudi see Siedentop, Heinz, 92d:81152 

White, Gregory B. Splitting of the Dirac operator in the nonrelativistic limit. (French 
summary) 92a:81031 

Wilson, J. Michael Some two-parameter square function inequalities. 92m:26014 





35P20 Asymptotic distribution of eigenvalues and eigenfunctions 
for PDO 


Alikulov, R. K. Spectral asymptotics of a class of nonselfadjoint elliptic differential 
operators with degeneration on the boundary of the domain. (Russian. Tajiki summary) 
92b:35111 

Berger, Ginter Different eigenvalue asymptotics for Dirichlet and Neumann boundary 
conditions of elliptic operators of second order in some irregular domains. 92g:35161 

Binding, P. A. (with Browne, Patrick J.; Huang, Yin Xi; Picard, Rainer H.) On eigencurves 
of elliptic boundary value problems. 92j:35138 

Birman, M. Sh. (with Solomyak, M. Z.) Interpolation estimates for the number of negative 
eigenvalues of a Schroedinger operator. 92e:35115 

— (with Solomyak, M. Z.) Estimates for the number of negative eigenvalues of the 
Schrédinger operator and its generalizations. (see 92g:35153) 

Boimatov, K. Kh. On the asymptotics of the eigenvalues of nonselfadjoint elliptic systems in 
arbitrary domains of finite measure. (Russian) 92b:35112 

— Multidimensional spectral asymptotics for elliptic operators in domains that satisfy the 
cone condition. (Russian) 92j:35140 

— Spectral asymptotics of nonselfadjoint pseudodifferential operators in bounded domains. 
(Russian) 92k:35202 

— Multidimensional spectral asymptotics for elliptic differential operators. (Russian) 
92j:35139 

Browne, Patrick J. see Binding, P. A.; et al., 92j:35138 

Caetano, Anténio M. Some domains where the eigenvalues of the Dirichlet Laplacian have 
nonpower second term asymptotic estimates. 92i:35094 

Filippov, E. see Ivrii, V. Ya.; et al., 92e:35116 

Gadoev, M. G. Spectral asymptotics of deg 
(Russian. Tajiki summary) 92a:35123 

Golovatyi, Yu. D. (with Nazarov, S. A.; Oleinik,O. A.) Asymptotic expansions of eigenval- 
ues and eigenfunctions of problems on oscillations of a medium with concentrated pertur- 
bations. (Russian) 92b:35113 

— The spectral Neumann problem for the Laplace operator with singularly perturbed 
density. (Russian) 92g:35162 

Gurarie, David Multiparameter averaging and inverse spectral problem for anharmonic 
oscillators in R". 92k:35203 

Huang, Yin Xi see Binding, P. A.; et al., 92j:35138 

Ivrii, V. Ya. (with Kachalkina, A.) Spectral asymptotics with highly accurate remainder 
estimates. (see 92c:00015) 

— (with Filippov, E.; Kachalkina, A.) Precise spectral asymptotics. 92e:35116 

— Eigenvalue asymptotics for Schrédinger and Dirac operators with the constant magnetic 
field and with electric potential decreasing at infinity. (see 92d:35009) 

— Non-Weylian spectral asymptotics with accurate remainder estimate. (see 92f:35007) 

Kachalkina, A. see Ivrii, V. Ya.; et al., 92e:35116 and (92c:00015) 

Khryashchév, S. V. On the discrete spectrum of a perturbed periodic Schrodinger operator. 
(Russian. English summary) 92h:35168 

Klein, Markus (with Schwarz, Erika) An elementary approach to formal WKB expansions 
in R". 92d:35213 

Laptev, A. A. (with Safarov, Yu. G.) Error estimate in the generalized Szegé theorem. 
92j:35141 

Levendorskii, S. Z. The asymptotics of the spectrum of operators that are elliptic in the 
sense of Douglis-Nirenberg. (Russian) 92a:35124 

Matsumoto, Hiroyuki? The short time asymptotics of the traces of the heat kernels for the 
magnetic Schrédinger operators. 92¢:35117 

— Classical and nonclassical eigenvalue asymptotics for magnetic Schrédinger operators. 
92b:35114 

Nazarov, S. A. see Golovatyi, Yu. D.; et al., 92b:35113 

Oleinik, O. A. see Golovatyi, Yu. D.; et al., 92b:35113 

Picard, Rainer H. see Binding, P. A.; et al., 92j:35138 

Prikazchikov, V.G. An asymptotic estimate for the accuracy of a discrete spectral problem. 
(Russian) 92¢:35088 

Raikov, George D. Eigenvalue asymptotics for the Schrodinger operator with homogeneous 
magnetic potential and decreasing electric potential. I. Behaviour near the essential 
spectrum tips. (French summary) 92b:35115 

— Semiclassical and weak-magnetic-field eigenvalue asymptotics for the Schrodinger 
operator with electromagnetic potential. 92i:35095 





ate sy of differential operators. 





615 1992 


Sabziev, E. N. Asymptotic distribution of eigenvalues for differential operators of variable 
order. (Russian. English and Azerbaijani summaries) 92c:35089 

Safarov, Yu. G. see Laptev, A. A., 92j:35141 

Schwarz, Erika see Klein, Markus, 924:35213 

Shubov, Marianna A. Asymptotics of the discrete spectrum for a radial Schrodinger 
operator with nearly Coulomb potential. 92f:35111 

Sobolev, Aleksandr Vladimirovich On the asymptotics of discrete spectrum for the 
Schroedinger operator in electric and homogeneous magnetic fields. (see 92c:00015) 

Solomyak, M. Z. see Birman, M. Sh., 92e:35115 and (92g:35153) 

Tachizawa, Kazuya Asymptotic distribution of eigenvalues of Schréding: 
nonclassical potentials. 92a:35125 

Tamura, Hideo Asymptotic completeness for N-body Schrédinger operators with short- 
range interactions. 92h:35169 





operators with 


Items with secondary classifications in 35P20 


Andreev, Aleksandr Sergeevich Estimates for the spectrum of compact pseudodifferential 
operators in unbounded domains. (Russian) 924:47069 

Birman, M. Sh. On a discrete spectrum in gaps of a second-order perturbed periodic 
operator. (Russian) 92m:47090 

Boimatov, K. Kh. (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of 
differential operators. (Russian) 92d:47063 

— (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of differential 
operators on a compact manifold without boundary. (Russian) 92a:47057 

— Multidimensional distribution functions for degenerate elliptic operators. (Russian) 
92¢:47084 

— (with Kostyuchenko, A. G.) Spectral asymptotics of poly 
operators in bounded domains. (Russian) 92i:47055 

— Spectral asymptotics of linear and nonlinear pencils of pseudodifferential operators that 
are elliptic in the Douglis-Nirenberg sense. (Russian) 92m:58141 

Chantelau, Klaus Coulombic potentials in the semi-classical limit. 92a:81035 

Chen, Goong see Wang, Han Kun, 92a:93100 and Zhou, Jian-Xin, 92b:93068 

El Houakmi, Z. (with Helffer, B.) Comportement semi-classique en présence de symétries: 
action d’un groupe de Lie compact. (English summary) [Semiclassical behavior in the 
Pp of sy ries: action of a compact Lie group] 92m:47103 

Guseinov, G. Sh. Asymptotic behavior of eigenfunctions and eigenvalues of the Laplace- 
Beltrami operator on the fundamental domain of a discrete group in n-dimensional 
Lobachevskii space. (Russian) 92a:58143 

Helffer, B. see El Houakmi, Z., 92m:47103 

Ivrii, V. Ya. Precise spectral asymptotics for Schrédinger and Dirac operators with strong 
magnetic field. 92g:47073 

Khalilova, L.G. Lower bounds for the m-spectrum asymptotics of the distribution function 
of the natural frequencies of a shell of revolution that is in contact with a fluid. (Russian. 
English and Azerbaijani summaries) 92e:73036 

Kostyuchenko, A. G. see Boimatov, K. Kh., 92a:47057; 92d:47063 and 92i:47055 

Lapidus, Michel L. Can one hear the shape of a fractal drum? Partial resolution of the Weyl- 
Berry conjecture. 92d:58211 

Manchon, Dominique Formule de Weyl pour les groupes de Lie nilpotents. [The Weyl 
formula for nilpotent Lie groups] 92j:22023 

Nazarov, S. A. Asymptotic expansion of the solution of the Dirichlet problem for an 
equation with rapidly oscillating coefficients in a rectangle. (Russian) 92h:35038 

Raikov, George D. Strong electric field eigenvalue asymptotics for the Schrédinger operator 
with electromagnetic potential. 92k:81031a 

— Errata: “Strong electric field eigenvalue asymptotics for the Schrédinger operator with 
electromagnetic potential”. 92k:81031b 

Safarov, Yu. G. Precise spectral asymptotics and inverse problems. (see 92b:35006) 

Sjéstrand, Johannes Asymptotique des résonances pour des obstacles. [Asymptotics of 
resonances for obstacles] 92¢:35036 

Vasil‘ev, D. G. One can hear the dimension of a connected fractal in R?. (see 92b:35006) 

Volovoi, A. V. Corrections to: “Verification of the Hamilton flow conditions associated with 
Weyl’s conjecture” [Ann. Global Anal. Geom. 8 (1990), no. 2, 127-136; MR 91m:58157]. 

Wang, Han Kun (with Chen, Goong) Asymptotic locations of eigenfrequencies of Euler- 
Bernoulli beam with nonhomogeneous structural and viscous damping coefficients. 
92a:93100 

Wang, Xue Ping Semiclassical resolvent estimates for N-body Schrédinger operators. (see 
92b:35006) 

Zayed, E.M.E. Hearing the shape of a general doubly-connected domain in R? with mixed 
boundary conditions. 92f:58179 

Zhou, Jian-Xin (with Chen, Goong) The wave method for determining the asymptotic 
damping rates of eigenmodes. I. The wave equation on a rectangular or circular domain. 
92b:93068 

Zielinski, Lech Complétude asymptotique pour un modéle du transfert de charge. (English 
summary) [Asymptotic completeness for a charge transfer model] 92h:81189 





ial pencils of differential 











35P25 Scattering theory for PDE [see also 47A40] 


Aktosun, Tuncay (with van der Mee, C. V. M.) Wiener-Hopf factorization in multidimen- 
sional inverse Schrodinger scattering. 92g:35163 

Alber, H.-D. Uniform L2-asymptotics of the scattering amplitude in the high frequency 
limit. (Russian summary) 92m:35195 

Badyukov, V. F. A method for constructing fundamental solutions in scattering problems. 
(Russian) 92h:35170 

— The weak Rayleigh hypothesis and some properties of systems of metaharmonic 
functions. (Russian. English summary) 92k:35204 

Blahut, Richard E. (with Miller, Willard, Jr.; Wilcox, Calvin H.) * Radar and sonar. Part I. 
92h:35171 

Cheremshantsev, S. E. Averaged wave operators in the problem of scattering by a Brownian 
particle. (Russian) 92b:35116 

Colton, David (with Kirsch, Andreas) An approximation problem in inverse scattering 
theory. 92¢:35090 


35P Spectral theory and eigenvalue problems for partial differential operators 


35P25 


Dunin, S. Z. (with Maksimov, G. A.) Scattering of scalar fields by statistically rough 
surfaces. (Russian) 92g:35164 

Farhy, Leon S. Poles of the scattering matrix produced by a trapped periodic ray with two 
eigenvalues of the Poincaré mapping equal to one and two different from one. 92h:35172 

Fishman, Louis Phase space and functional integral methods in direct and inverse 
scattering. (see 92a:00040) 

Ford, Richard L. Generalized potentials and obstacle scattering. 92e:35118 

(Friedman, Avner) see Blahut, Richard E.; et al., 92h:35171 

Ha-Duong, Tuong On the boundary integral equations for the crack opening displacement 
of flat cracks. 92j:35142 

Ianakiev, Krasimir G. Scattering for nonlinear wave equation with small initial data. 
924:35214 

Ikawa, Mitsuru On the distribution of poles of the scattering matrix for several convex 
bodies. 92a:35126 

— On the poles of the scattering matrix. (Japanese) 92b:35117 

— On scattering by obstacles. (see 92m:00054) 

Isozaki, Hiroshi Structure of S-matrices for three-body Schrédinger operators. 92k:35205 

Kirsch, Andreas see Colton, David, 92c:35090 

Langerholc, John Calculation of forward-scattering amplitudes from a focused beam: exact 
values for the Gaussian parameters. 92k:35206 

Lyalinov, M. A. Fock’s asymptotics in the problem of diffraction by a moving smooth 
contour. (Russian. English summary) 92k:35207 

Maksimov, G. A. see Dunin, S. Z., 92g:35164 

Martin, Paul Andrew Identification of irregular frequencies in simple direct integral- 
equation methods for scattering by homogeneous inclusions. 92e:35119 

van der Mee, C. V. M. see Aktosun, Tuncay, 92g:35163 

Miller, Willard, Jr. see Blahut, Richard E.; et al., 92h:35171 

Mirovitskaya, S. D. see Vorontsov, A. A., 92m:35196 

Newton, Roger G. New results on 3D Schrédinger inverse scattering. (see 92a:00040) 

Novikov, R. G. The two-dimensional inverse scattering problem at fixed positive energy and 
the Riemann generalized nonlocal problem. (French summary) 92¢:35120 

Ozawa, Tohru Nonexistence of wave operators for Stark effect Hamiltonians. 92d:35215 

Pascu, Mihai N. Asymptotic completeness of the wave operators for simply characteristic 
operators and long-range potentials by Enns’ method. 924:35216 

Petkov, Vesselin M. Phase de diffusion pour des perturbations captives. [Scattering phase 
for captive perturbations] 92e:35121 

— Les singularités du noyau de l’opérateur de diffusion pour des obstacles non-convexes. 
[Singularities of the scattering operator kernel for nonconvex obstacles] 92f:35112 

— Singularities of the scattering kernel for nonconvex obstacles. 92h:35173 

— Péles de la matrice de diffusion pour des perturbations captives. [Poles of the scattering 
matrix for bound perturbations] 92k:35208 

Ramm, A. G. (with Weaver, O. L.) 3D inverse scattering. 92g:35165 

Robert, D. High energy asymptotics for scattering phases for perturbations of Laplace 
operator. 92k:35209 

— (with Wang, Xue Ping) Time-delay and spectral density for Stark Hamiltonians. II. 
Asymptotics of trace formulae. 92k:35210 

Serov, V.S. On the Green function in the mathematical theory of scattering. (Russian) 
92e:35122 

Sjéstrand, Johannes (with Zworski, Maciej) Complex scaling and the distribution of 
scattering poles. 92g:35166 

Smyshlyaev, V. P. “Almost forward” scattering by a smooth convex cone. (Russian. English 
summary) 92k:35211 

Soga, H. The scattering kernel of the elastic wave equation. (see 92b:35006) 

Stefanov, Plamen D. Inverse scattering problems for the wave equation with time dependent 
impurities. (see 92a:00040) 

— Stability of the inverse problem in potential scattering at fixed energy. (French summary) 
92d:35217 

— Inverse scattering problem for moving obstacles. 92h:35174 

Swart, J. H. The stability of Maxwell’s equations associated with an initial-boundary value 
problem in quarter space. 924:35218 

Tret'yakov, P. V. Integral solutions of the wave equation and the problem of diffraction of 
an arbitrary acoustic wave by a wedge. (Russian) 92f:35113 

Vainberg, B. R. Scattering by periodically moving obstacles. (Russian) 92h:35175 

Vorontsov, A. A. (with Mirovitskaya, S. D.) * Cneunanbubie byHKuHH 3aza4 TeOpHH 
paccesnua. (Russian) [Special functions in problems of scattering theory] 92m:35196 

Wang, Xue Ping see Robert, D.; et al., 92k:35210 

Weaver, O. L. see Ramm, A. G., 92g:35165 

Weder, Ricardo Characterization of the scattering data in multidimensional inverse 
scattering theory. 92g:35167 

— Global uniqueness at fixed energy in multidimensional inverse scattering theory. 
925:35143 

— Generalized limiting absorption method and multidimensional inverse scattering theory. 
92g:35168 

Weston, V.H. Wave splitting and the reflection operator for the wave equation. (see 
92a:00040) 

White, D. A. W. The Stark effect and long range scattering in two Hilbert spaces. 92e:35123 

Wilcox, Calvin H. see Blahut, Richard E.; et al., 92h:35171 

Yafaev, D. R. On the asymptotics of scattering phases for the Schrédinger equation. (French 
summary) 92b:35118 

— Asymptotics of limit phases in a problem of potential scattering. (Russian) 92a:35127 

Yamamoto, Kazuhiro Scattering theory and spectral representations for general wave 
equations with short range perturbations. 92j:35144 

Zworski, Maciej see Sjéstrand, Johannes, 92g:35166 


Items with secondary classifications in 35P25 

Abrahams, I. D. (with Wickham, G. R.) The scattering of water waves by two semi-infinite 
opposed vertical walls. 92f:76013 

Aktosun, Tuncay (with van der Mee, C. V. M.) Multidimensional inverse quantum 
scattering problem and Wiener-Hopf factorization. (see 92a:00040) 





35P25 


— (with van der Mee, C. V. M.) Inverse scattering problem for the 3-D Schrédinger 
equation and Wiener-Hopf factorization of the scattering operator. 92¢:35120 . 

— (with van der Mee, C. V. M.) Scattering for 1D Schrédinger equation with energy- 
dependent potentials and the recovery of the potential from the reflection coefficient. 
92b:81211 

— (with van der Mee, C. V. M.) Wiener-Hopf factorization in the inverse scattering theory 
for the n-D Schrédinger equation. 92f:35050 

— (with van der Mee, C. V. M.) Solution of the inverse scattering problem for the three- 
dimensional Schrédinger equation using a Fredholm integral equation. 92a:81217 

Aluffi-Pentini, Filippo (with Caglioti, Emanuele; Misici, Luciano; Zurilli, Francesco) A 
numerical method for the three-dimensional inverse acoustic scattering problem with 
incomplete data. (see 92a:00035) 

Apel'tsin, V. F. On the synthesis of field scattered by a perfectly conducting obstacle. 
92g:35222 

Arefev, V. N. On the smoothness of solutions of second-order hyperbolic equations with 
discontinuous coefficients. (Russian) 92g:35217 

Arnaudov, Ya. N. see Georgiev, Viadimir S., 92i:35074 

Athorne, Chris (with Nimmo, J. J.C.) On the Moutard transformation for integrable 
partial differential equations. 92k:35011 

Bachelot, Alain Scattering operator for Maxwell equations outside Schwarzschild black- 
hole. 92£:58176 

Baev, A. V. Solution of inverse problems of dissipative scattering theory. (Russian) 
92a:35159 

Bates, R.H.T. (with Smith, V. A.; Murch, R. D.) Manageable multidimensional inverse 
scattering theory. 92f:78008 

Brind, R. J. (with Wickham, G.R.) Near-field behaviour of the fundamental elastodynamic 
solutions for a semi-infinite homogeneous isotropic elastic solid. 92¢:73035 

Budaev, B. V. Diffraction of elastic waves by wedge-shaped structures. (Russian. English 
summary) 92a:35118 

Caglioti, Emanuele see Aluffi-Pentini, Filippo; et al., (92a:00035) 

Cardoso, Fernando (with Petkov, Vesselin M.; Stoyanov, Luchezar N.) Singularities of the 
scattering kernel for generic obstacles. 92i:35073 

Carmona, René (with Lacroix, Jean) * Spectral theory of random Schrédinger operators. 
92k:47143 

Chen, Zong Yun (with Huang, Nian Ning; Liao, Guojun G.) A perturbation theory for the 
modified nonlinear Schrédinger equation with corrections. 92m:35248 

Colton, David (with Monk, Peter B.) The inverse scattering problem for time harmonic 
electromagnetic waves. 92e:35172 

De, Mrityunjoy (with Roy Chowdhury, A.) On a double Riemann-Hilbert approach to 
stimulated Raman scattering. 92g:35170 

Donnelly, Harold (with Lee, Jeffrey M.) Heat kernel remainders and inverse spectral theory. 
92b:58233 

Efremov, A. V. Cell decompositions and the Novikov-Shubin invariants. (Russian) 
92m:58143 

Eskin, Gregory (with Ralston, James V.) Inverse backscattering in two dimensions. 
92m:81301 

Georgiev, Viadimir S. Uniform boundedness of the energy for time-periodic potentials. 
92£:47008 

— (with Arnaudov, Ya. N.) Inverse scattering problem for dissipative wave equation. 
92i:35074 

Gredeskul, S. A. see Kivshar, Yu. S.; et al., 92m:35228 

Grinberg, N. I. Inverse scattering problem for an elastic layered medium. 92m:73056 

Guillot, J.-C. (with Ralston, James V.) Inverse spectral theory for a singular Sturm- 
Liouville operator on [0, 1]. 92d:34029 

Guzev, M. A. (with Klyatskin, V.I.) Plane waves in a layered weakly dissipative randomly 
inhomogeneous medium. 92b:35182 

Hagstrom, Thomas Consistency and convergence for numerical radiation conditions. (see 
92a:65021) 

Hahne, G. E. Transition operators in acoustic-wave diffraction theory. I. General theory. 
92a:76079a 

— Transition operators in acoustic-wave diffraction theory. II. Short-wavelength behavior, 
dominant singularities of Z,, and Z;,'. 92a:76079b 

Hazard, Christophe Scattering frequencies and resonant states of the linear sea-keeping 
problem. (see 92a:65021) 

He, Sailing Factorization of a dissipative wave equation and the Green functions technique 
for axially symmetric fields in a stratified slab. 92j:35114 

Herbst, Ira W. Spectral and scattering theory for Schrédinger operators with potentials 
independent of |x|. 92k:35069 

Hislop, Peter D. (with Martinez, André) Scattering resonances of a Helmholtz resonator. 
92k:35170 

Huang, Nian Ning see Chen, Zong Yun; et al., 92m:35248 

lizuka, Takeshi (with Wadati, Miki; Yajima, Tetsu) The unstable nonlinear Schrédinger 
equation and dark solitons. 92k:35259 

Ikawa, Mitsuru On scattering matrices and zeta functions for several convex bodies. 
92j:58112 

Ikebe, Teruo (with Shimada, Shin-ichi) Spectral and scattering theory for the Schrédinger 
operators with penetrable wall potentials. 92b:35108 

IVinskii, A.S. (with Maslovskaya,O.M.) The finite element method in the problem of 
diffraction by a local nonhomogeneity. (Russian) 92d:65193 

Iskenderov, N. Sh. The scattering problem for a system of n first-order hyperbolic equations 
on the semiaxis with given scattered waves. (Russian) (see 92d:00014) 

Isozaki, Hiroshi La structure de la matrice S pour le probléme 4 trois corps. [The structure 
of the S-matrix for the three-body problem] 92k:81226 

Jensen, Arne” (with Yajima, Kenji) On the long range scattering for Stark Hamiltonians. 
92h:81185 

Kitada, Hitoshi Asymptotic completeness of N-body wave operators. I. Short-range 
quantum systems. 92k:81227 

— Asymptotic completeness for N-body long-range quantum systems. 92k:47019 

Kivshar, Yu. S. (with Gredeskul, S. A.; Sanchez, Angel; Vazquez, Luis) Scattering properties 
of envelope solitons in disordered systems: decay of localization effects by strong 


PARTIAL DIFFERENTIAL EQUATIONS 


nonlinearity. 92m:35228 

Klibanov, M. V. (with Malinsky, Joseph) Newton-Kantorovich method for three- 
dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy 
problem with time-dependent data. 92k:65128 

Klyatskin, V.I. see Guzev, M. A., 92b:35182 

(Kocherga, O. D.) see Sitenko, A. G., 92e:81279 

Konopel’chenko, B. G. Soliton eigenfunction equations: the IST integrability and some 
properties. 92g:58051 

Konotop, V. V. (with Vekslerchik, V. E.) Randomly modulated dark soliton. 92f:81241 

Kress, Rainer Inverse acoustic obstacle scattering. (see 92a:65021) 

Kvitsinskii, A. A. (with Merkur'ev, S. P.) A plane wave in a three-body system with zero 
total orbital momentum. (Russian) 92h:81188 

Lacroix, Jean see Carmona, René, 92k:47143 

Lee, Jeffrey M. see Donnelly, Harold, 92b:58233 

Li, Jian Hua' see Xie, Gan Quan 

Liao, Guojun G. see Chen, Zong Yun; et al., 92m:35248 

Magri, Franco (with Morosi, C.; Tondo, G.) The geometry of soliton equations. 92i:58078 

Malinsky, Joseph see Klibanov, M. V., 92k:65128 

Martinez, André see Hislop, Peter D., 92k:35170 

Maslovskaya, O. M. see IVinskii, A. S., 92d:65193 

van der Mee, C. V. M. see Aktosun, Tuncay, 92a:81217; 92b:81211; 92¢:35120; 92f:35050 and 
(92a:00040) 

Meister, Erhard (with Rawlins, A. D.; Speck, Frank-Olme) Double-knife edge problems 
with elastic/plastic type screens. 92e:35056 

— (with Rottbrand, K.; Speck, Frank-Olme) Wiener-Hopf equations for waves scattered by 
a system of parallel Sommerfeld half-planes. 92h:65200 

Melin, Anders Inverse problems and microlocal analysis. (see 92d:35009) 

Merkur'ev, S. P. see Kvitsinskii, A. A., 92h:81188 

Mil'man, A. L. An inverse problem in acoustic scattering theory for centrally symmetric 
finite obstacles in a two-dimensional space. (Russian. Ukrainian summary) 92e:35174 

Misici, Luciano see Aluffi-Pentini, Filippo; et al., (92a:00035) 

Monk, Peter B. see Colton, David, 92e:35172 

Morosi, C. see Magri, Franco; et al., 92i:58078 

Murch, R. D. see Bates, R. H. T.; et al., 92f:78008 

Newton, Roger G. Wiener-Hopf factorization of the S matrix. 92g:47010 

Ng, Kin-Chung The nonlinear caustic. 92i:78019 

Nimmo, J. J.C. see Athorne, Chris, 92k:35011 

Ozawa, Tohru Long range scattering for nonlinear Schrédinger equations in one space 
dimension. 92j:35172 

Petkov, Vesselin M. see Cardoso, Fernando; et al., 92i:35073 

Pickett, Douglas Scattering theory for hyperbolic equations of order 2m. 92m:47016 

Podil'chuk, Yu. N. (with Soroka, P. N.; Rubtsov, Yu. K.) The geometric diffraction theory 
in problems of the scattering of harmonic elastic waves by smooth convex cavities. 
(Russian. English summary) 92c:73041 

Popov, I. Yu. Theory of extensions and the localization of resonances for domains of trap 
type. (Russian) 92k:47094 

— The extension theory and the opening in semitransparent surface. 92k:35063 

Raikov, George D. Strong electric field eigenvalue asymptotics for the Schrodinger operator 
with electromagnetic potential. 92k:81031a 

— Errata: “Strong electric field eigenvalue asymptotics for the Schrédinger operator with 
electromagnetic potential”. 92k:81031b 

Ralston, James V. see Guillot, J.-C., 92d:34029 and Eskin, Gregory, 92m:81301 

Ramm, A. G. Exact inversion of fixed energy scattering data. (see 92a:65021) 

— An approximation problem. 92g:35236 

— Can a constant be the fixed-energy scattering amplitude for an integrable local potential? 
92d:81144 

— Stability of the solution to inverse scattering problem with exact data. 

Rawlins, A. D. see Meister, Erhard; et al., 92e:35056 

Rottbrand, K. see Meister, Erhard; et al., 92h:65200 

Roy Chowdhury, A. see De, Mrityunjoy, 92g:35170 

Rubtsov, Yu. K. see Podil/chuk, Yu. N.; et al., 92c:73041 

Sabatier, Pierre C. Three-dimensional impedance scattering theory. 92g:78017 

Sanchez, Angel see Kivshar, Yu. S.; et al., 92m:35228 

Serov, V.S. Reconstruction of potential in a three-dimensional problem in scattering 
theory. (Russian) 92j:35189 

Shimada, Shin-ichi see Ikebe, Teruo, 92b:35108 

Sitenko, A. G. * Scattering theory. 92e:81279 

Smirnov, Yu. G. The Fredholm property of the problem of diffraction by a flat bounded 
ideally conducting screen. (Russian) 92k:78007 

Smith, V. A. see Bates, R. H. T.; et al., 92f:78008 

Sochacki, James A. Absorbing boundary conditions using regions with exponential decay. 
(see 92a:65021) 

Soroka, P. N. see Podil'chuk, Yu. N.; et al., 92¢:73041 

Speck, Frank-Olme see Meister, Erhard; et al., 92e:35056 and 92h:65200 

Stefanov, Plamen D. Some inverse problems in potential scattering. (see 92b:35006) 

Stephan, Ernst P. (with Suri, Manil) Integral equation methods for screen and crack 
problems. 92e:35057 

Stoyanov, Luchezar N. Nonexistence of generalized scattering rays and singularities of the 
scattering kernel for generic domains in R?. 92b:58236 

— see also Cardoso, Fernando; et al., 92i:35073 

Suri, Manil see Stephan, Ernst P., 92e:35057 

Tamura, Hideo Asymptotic completeness for three-body Schrédinger operators with short- 
Tange interactions. 92a:81216 

Tan, D.G. H. Review of recent research into inverse methods at the University of 
Canterbury. (see 92h:00016) 

Tondo, G. see Magri, Franco; et al., 92i:58078 

Tong, Yu Sun Local scattering in Krein spaces. (Chinese) 92m:47017 

Uzunov, Ivan M. Comparison between the characters of the influence of nonlinear 
dispersion and intrapulse Raman scattering on stationary waves. 92i:81378 

Vazquez, Luis see Kivshar, Yu. S.; et al., 92m:35228 





617 1992 


Vekslerchik, V. E. see Konotop, V. V., 92f:81241 

Venkov, A. B. On the Selberg trace formula for an automorphic Schrodinger operator. 
(Russian) 92m:11051 

Vodev, G. Polynomial bounds on the number of scattering poles for symmetric systems. 
(French summary) 92j:81349 

Wadati, Miki see Iizuka, Takeshi; et al., 92k:35259 

Weder, Ricardo Multidimensional inverse scattering theory. (see 92a:65021) 

Wickham, G. R. see Brind, R. J., 92c:73035 and Abrahams, I. D., 92f:76013 

Wiiller, Ulrich Geometric methods in scattering theory of the charge transfer model. 
92k:35070 

Xie, Gan Quan (with Li, Jian Hua!) Nonlinear integral equation of inverse scattering 
problems of wave equation and iteration. 

— (with Zou, Qisu) A parallel algorithm for solving the 3D inverse scattering problem. 
92a:65367 

Yafaev, D. R. On some spectral properties of the scattering matrix. (see 92b:35006) 

Yajima, Kenji see Jensen, Arne”, 92h:81185 

Yajima, Tetsu see lizuka, Takeshi; et al., 92k:35259 

Zou, Qisu see Xie, Gan Quan, 92a:65367 

Zaurilli, Francesco see Aluffi-Pentini, Filippo; et al., (92a:00035) 

Zworski, Maciej High frequency scattering by a convex obstacle. 92¢:35070 

— Shift of the shadow boundary in high frequency scattering. 92e:58224 


35P30 Nonlinear eigenvalue problems, nonlinear spectral theory 
for PDO 


Chiappinelli, Raffaele On the eigenvalue problem for quasilinear elliptic operators. 
92i:35096 

Ding, Xia Xi (with Ding, Yi) The concentration-compactness principle and inverse power 
method. 924:35219 

Ding, Yi see Ding, Xia Xi; et al., 92d:35219 

Faierman, Mel (with Mennicken, Reinhard) An elliptic boundary value problem depending 
nonlinearly upon the eigenvalue parameter. 92k:35212 

Ivanov, V. A. (with Samerkhanov, R. Z.) On the solution of a nonlinear eigenvalue problem 
in problems of mathematical physics. (Russian) 92i:35097 

Keller, Joseph B. see Ward, Michael J., 92b:35119 

Li, Gong Bao see Yan, Shu Sen; et al., 92d:35221 

Ma, Li On nonlinear eigenproblems of quasi-linear elliptic operators. 92h:35176 

Mennicken, Reinhard see Faierman, Mel, 92k:35212 

Samerkhanov, R. Z. see Ivanov, V. A., 92i:35097 

Schechter, Martin (with Tintarev, Kyril) Families of “first eigenfunctions” for semilinear 
elliptic eigenvalue problems. 92m:35197 

Sheina, E. A. Eigenfunctions of a quasilinear elliptic operator in R". (Russian) 92h:35177 

Shkred, A. V. Letter to the editors: “Linearization of spectral problems with a parameter 
in a boundary condition, and properties of derivatives of M. V. Keldysh’s chains” [Mat. 
Zametki 46 (1989), no. 4, 99-109; MR 91m:35172]. (Russian) 92d:35220 

Tintarev, Kyril see Schechter, Martin, 92m:35197 

Ward, Michael J. (with Keller, Joseph B.) Nonlinear eigenvalue problems under strong 
localized perturbations with applications to chemical reactors. 92b:35119 

Yan, Shu Sen (with Li, Gong Bao) Eigenvalue problem for field equation involving limiting 
nonlinearity. 92d:35221 

Zhang, Zheng Jie The eigenvalue problem of quasilinear elliptic equation. 92h:35178 


Items with secondary classifications in 35P30 


Alber, H.-D. The highest order singularities of the scattering kernel. (see 92b:35006) 

Bazley, N. W. (with Nguyén Xuan Tan) On the primary and secondary bifurcation of 
equations involving scalar nonlinearities. 92¢:58015 

Boiti, M. (with Leon, Jéréme Jp.; Pempinelli, F.) On the spectral theory of the Davey- 
Stewartson equation. 92b:35138 

Buslaev, A. P. (with Tikhomirov, V.M.) The spectra of nonlinear differential equations and 
widths of Sobolev classes. (Russian) 92f:46036 

Caycedo, J. F. see Ortega, L. A., 92e:35029 

Chen, Bao Yao see Chen, Jie’; et al. 

Chen, Jie? (with Chen, Bao Yao) An eigenvalue problem for diagonal quasilinear elliptic 
systems of equations. (Chinese. English summary) 

Del Pino, Manuel A. (with Manasevich, Raul F.) Global bifurcation from the eigenvalues 
of the p-Laplacian. 92g:35028 

Heinz, Hans-Peter Bifurcation from the essential spectrum for nonlinear perturbations of 
Hill’s equation. 92e:34115 

Knapp, Robert (with Papanicolaou, George C.; White, Benjamin S.) Transmission of waves 
by a nonlinear random medium. 92h:73010 

Kreiss, Gunilla Convergence to steady state of solutions of viscous conservation laws. 
92g:35134 

Leaci, Antonio (with Scolozzi, D.) Existence and multiplicity of nonlinear eigenvalues of 
the operator —A — g with respect to two obstacles. (Italian. English summary) 92a:35048 

Leon, Jéréme Jp. see Boiti, M.; et al., 92b:35138 

Raul F. see Del Pino, Manuel A., 92g:35028 

MeFnikov, V. K. Integration of the nonlinear Schrédinger equation with a source. 
92k:35261 

Merle, Frank (with Peletier, L. A.) Positive solutions of elliptic equations involving 
supercritical growth. 92g:35074 

Miersemann, Erich (with Mittelmann, Hans D.) On the stability in obstacle problems with 
applications to the beam and plate. (German and Russian summaries) 92i:47086 

Mittelmann, Hans D. see Miersemann, Erich, 92i:47086 

Nguyén Xuan Tan see Bazley, N. W., 92c:58015 

Ortega, L. A. (with Caycedo, J. F.) Positive periodic solutions of a nonlinear parabolic 
eigenvalue problem. 92¢:35029 

Pan, Tao (with Qian, Min) Conditionally periodic solutions to nonlinear Schrédinger 
equations— inverse spectral problem of Dirac operators. 92a:35149 

Papanicolaou, George C. see Knapp, Robert; et al., 92h:73010 

Peletier, L. A. see Merle, Frank, 92g:35074 


35Q Equations of mathematical physics and other areas of application 


35Qxx 


Pempinelli, F. see Boiti, M.; et al., 92b:35138 

Qian, Min see Pan, Tao; et al., 92a:35149 

Schechter, Martin (with Tintarev, Kyril) Eigenvalues for semilinear boundary value 
problems. 92c:47077 

— (with Tintarev, Kyril) Points of spherical maxima and solvability of semilinear elliptic 
equations. 92i:47076 

Scolozzi, D. see Leaci, Antonio, 92a:35048 

Shapiro, Victor L. Quasilinear ellipticity and the Ist eigenvalue. 92j:35053 

— Special functions and singular quasilinear partial differential equations. 924:35093 

Spréssig, W. On a class of nonlinear boundary and eig lue problems. 92m:30091 

Tikhomirov, V.M. see Buslaev, A. P., 92f:46036 

Tintarev, Kyril see Schechter, Martin, 92c:47077 and 92i:47076 

White, Benjamin S. see Knapp, Robert; et al., 92h:73010 





35P99 None of the above, but in this section 


Items with secondary classifications in 35P99 


Chigur, I. 1. Branching billiards. (Russian) 92c:73043 

Christ, Michael L? bounds for spectral multipliers on nilpotent groups. 92k:42017 

Fursevich, L. V. see Galitsyn, A. S., 92k:35117 

Galitsyn, A.S. (with Fursevich, L. V.) A method for solving essentially nonhomogeneous 
problems of heat conduction with boundary conditions of impedance type. (Russian) 
92k:35117 

Picard, Rainer H. Asymptotic partition of energy for abstract uniformly propagative 
systems. 92a:47049 


35Qxx Equations of mathematical physics and other 
areas of application [see also 35J05, 3510, 
35K05, 35L05] 


Calogero, F. Some ideas on nonlinear evolution equations. (see 92b:00043) 

DiPerna, R. J. (with Lions, Pierre-Louis) Global weak solutions of kinetic equations. 
92a:35128 

Frycz, P. see Infeld, E., 92g:35169 

Infeld, E. (with Frycz, P.) Nonlinear waves: change of structure and collapse. 92g:35169 

Lions, Pierre-Louis see DiPerna, R. J., 92a:35128 

Shulman, E.1. see Zakharov, V. E., 92c:35091 

Zakharov, V. E. (with Shulman, E. 1.) Integrability of nonlinear systems and perturbation 
theory. 92¢:35091 


Items with secondary classifications in 35Qxx 


Abdel-Gawad, H. I. Solutions of the equation 97 f(x, t) = L(x, t) f(x, t) + S(x, t). Exact 
solutions of some partial differential equations in mechanics and physics. 92g:35040 

Ames, W. F. Symmetry in nonlinear mechanics. 92k:58277 

Asano, Naruyoshi (with Kato, Yusuke) * Algebraic and spectral methods for nonlinear 
wave equations. 924:35001 

(Ballesteros Elias, Antonio) see Kulakov, A. V., 92g:35001 

Cacuci, Dan G. (with Protopopescu, V.) Canonical propagators for nonlinear systems: 
theory and sample applications. 92b:35041 

Calogero, F. Why are certain nonlinear PDEs both widely applicable and integrable? 
92f:35001 

Das, Ashok * Integrable models. 92a:58061 

Fushchich, V. 1. On a generalization of S. Lie’s method. (Russian) (see 92b:35011) 

— see also Algebra-theoretic analysis of equations in mathematical physics, 92b:35011 

Gémez, R. (with Winicour, J.; Isaacson, R.) Evolution of scalar fields from characteristic 
data. 92j:65148 

Huang, Lie De The efficiency of integral equation methods in mathematical problems of 
nonlinear phenomena. (see 92a:00039) 

Isaacson, R. see Gomez, R.; et al., 92j:65148 

Kaashoek, J. F. * Modeling one-dimensional pattern formation by anti-diffusion. 
92¢:00008 

Kato, Yusuke see Asano, Naruyoshi, 92d:35001 

Kulakov, A. V. (with Rumyantsev, A. A.) * Introducci6n a la fisica de procesos no lineales. 
(Spanish) [Introduction to the physics of nonlinear processes] 92g:35001 

Ladyzhenskaya, O. A. * Attractors for semigroups and evolution equations. 92k:58040 

La, Zhen Qiu * Jingdian he xiandai shuxue wuli fangcheng. (Chinese) [Equations of 
classical and modern mathematical physics] 92f:00005 

Naumkin, P. I. (with Shishmarév, I. A.) Nonlinear nonlocal equations in wave theory. II. 
A system of equations of surface waves. Asymptotics of dissipative equations. (Russian) 
92a:35092 

— (with Shishmarév, I. A.) Asymptotic behaviour of solutions of dissipative nonlinear 
evolution equations for large time. 92k:35039 

Newell, Alan C. The dynamics and analysis of patterns. (see 92d:00004) 

Newton, Paul K. Branching near plane waves in perturbed dispersive systems. 92¢:76039 

Ostrovskii, L. A. From nonlinear oscillations to nonlinear waves. (Russian) 92j:34077 

Pismen, L. M. Prototype long-scale equations of dissipative dynamics. 92a:58122 

Protopopescu, V. see Cacuci, Dan G., 92b:35041 

Rudenko, O. V. see Vinogradova, M. B.; et al., 92j:00028 

Rumyantsev, A. A. see Kulakov, A. V., 92g:35001 

Shishmarév, I. A. see Naumkin, P. I., 92a:35092 and 92k:35039 

Sukhorukov, A. P. see Vinogradova, M. B.; et al., 92j:00028 

Taboada, Mario Approximate inertial manifolds for parabolic evolutionary equations via 
Yosida approximations. 92m:34146 

Vinogradova, M. B. (with Rudenko, O. V.; Sukhorukov, A. P.) * Teopus somn. (Russian) 
[Wave theory] 92j:00028 

Winicour, J. see Gémez, R.; et al., 92j:65148 





35Qxx 


Items listed otherwise than by author 

Algebra-theoretic analysis of equations in mathematical physics * Teopetuxo-anre6panyec- 
KH aHanHu3 ypaBHeHAl MaTeMaTH4ecKon dbusuKu. (Russian) [Algebra-theoretic analysis of 
equations in mathematical physics] 92b:35011 


35Q05 Euler-Poisson-Darboux equation and generalizations 


Bochkareva, O. V. Generalization of the Darboux problem for the Euler-Darboux equation 
with equal positive parameters in a bounded trapezoidal domain. (Russian) (see 
924:35005) 

Bragg, L. R. The iterated abstract Euler-Poisson-Darboux problem for negative values of the 
parameter. 92m:35198 

Chursin, V. B. Generalizations of the problems A, and A>. (Russian) 92m:35199 

Denisov, V. N. On the stabilization of means of the solution of the Cauchy problem for 
hyperbolic equations in symmetric spaces. (Russian) 92a:35129 

Dzhuraev, Kh. Sh. Solution of the Cauchy problem for a system of Euler-Poisson-Darboux 
equations. (Russian. Tajiki summary) 92d:35222 

Ivanov, L. A. Free oscillations of a half-space. (Russian) 92d:35223 

Nobuki, Takayama Euler-Poisson-Darboux equation, harmonic equation and special 
functions of two variables. (see 92m:00039) 

Tomina, E. I. Generalization of the Darboux problem for an equation of hyperbolic type in 
an unbounded domain. (Russian) (see 92d:35005) 

Vagapov, V.Z. The problems A, and A; for the Euler-Darboux equation in rectangular 
bounded domains. (Russian) 92m:35200 

Xu, Hong Lian The mixed problem for a class of two-dimensional Euler-Poisson-Darboux 
equations. (Chinese. English summary) 92f:35114 


Items with secondary classifications in 35Q05 

Bernardi, Marco Luigi (with Luterotti, Fabio; Pozzi, Gianni Arrigo) On a class of singular 
or degenerate hyperbolic variational inequalities. 92j:35130 

Ezhov, A.M. On the Riemann function for some degenerate operators. (Russian) 
92m:35183 

Karpukhin, Yu. P. The problem A, in an unbounded domain. (Russian) 92m:35156 

Laterotti, Fabio see Bernardi, Marco Luigi; et al., 92j:35130 

Nikol’skaya, L. N. The generalized Goursat problem for the Euler-Darboux equation with 
positive parameters in an infinite rectangular domain. (Russian) (see 92a:35004) 

Pozzi, Gianni Arrigo see Bernardi, Marco Luigi; et al., 92j:35130 

Rodionova, I. N. The A-problem for the generalized Euler-Darboux equation in the right 
half-plane. (Russian) 92m:35157 

Sakhabieva, G. A. On an inversion formula and its application. (Russian) 92m:35158 


35Q15 Riemann-Hilbert problems [see also 30E25, 31A25, 
31B20] 


De, Mrityunjoy (with Roy Chowdhury, A.) On a double Riemann-Hilbert approach to 
stimulated Raman scattering. 92g:35170 

Deift, Percy (with Zhou, Xin) A steepest descent method for oscillatory Riemann-Hilbert 
problems. 92g:35171 

Roy Chowdhury, A. see De, Mrityunjoy, 92g:35170 

Zhou, Xin see Deift, Percy, 92g:35171 


Items with secondary classifications in 35Q15 

Aktosun, Tuncay (with van der Mee, C. V.M.) Wiener-Hopf factorization in multidimen- 
sional inverse Schrédinger scattering. 92g:35163 

Bolibrukh, A. A. The Riemann-Hilbert problem. (Russian) 92j:14014 

Bullough, R. K. (with Olafsson, Sverrir) Algebra of Riemann-Hilbert problems and the 
integrable models—a sketch. 92e:58085 

De, Mrityunjoy (with Roy Chowdhury, A.) Exact solutions, deformed integrable NLS 
equation and Riemann problem. 92m:35250 

Dubrovskii, V.G. see Konopel/chenko, B. G., 92k:35244 

Eskin, Gregory The wave equation in a wedge with general boundary conditions. 
92m:35152 

Hon, Bo Yu see Li, Wei’, 92d:83032 

Iwasaki, Katsunori Moduli and deformation for Fuchsian projective connections on a 
Riemann surface. 92m:32039 

Konopel'chenko, B. G. (with Dubrovskii, V.G.) Inverse spectral transform for the modified 
Kadomtsev-Petviashvili equation. 92k:35244 

Li, Wei’ (with Hou, Bo Yu) The Riemann-Hilbert problem approach to a representation of 
the Virasoro group. II. 92d:83032 

van der Mee, C. V.M. see Aktosun, Tuncay, 92g:35163 

Olafsson, Sverrir see Bullough, R. K., 92e:58085 

Roy Chowdhury, A. see De, Mrityunjoy, 92m:35250 

Stern, I. Boundary value problems for generalized Cauchy-Riemann systems in the space. 
92k:35053 

Varadarajan, V.S. Meromorphic differential equations. 92i:32024 

Vinogradov, V.S. On boundary value problems for spinor systems. 92h:35041 

Wegert, Elias (with von Wolfersdorf, Lothar) Potential flow past a circular cylinder with 
permeable surface and nonlinear filtration law. (German and Russian summaries) 
92g:76012 

von Wolfersdorf, Lothar see Wegert, Elias, 92g:76012 


35Q30 Stokes and Navier-Stokes equations [see also 76D05, 
76D07, 76N10] 


Abergel, Frédéric (with Bona, Jerry L.) A mathematical theory for viscous, free-surface 
flows over a perturbed plane. 92k:35213 

Abylkairov, U. U. Periodic solution of approximations of a nonhomogeneous viscous fluid. 
(Russian) 92h:35179 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 618 


Achdou, Yves (with Pironneau, Olivier) The x-method for the Navier-Stokes equations. 
(French summary) 92b:35120 

Akhmatov, M. M. see Oskolkov, A. P.; et al., 92d:35228 

Alinhac, Serge Approximation et temps de vie des solutions des équations d’Euler 
isentropiques en dimension deux d’espace. [Approximation and life span of the solutions 
of isentropic Euler equations in two space dimensions] (see 92f:35007) 

— Remarques sur l’instabilité du probleme des poches de tourbillon. (English summary) 
[Remarks on the instability of the vortex-patch problem] 92g:35172 

Ambrosetti, Antonio (with Yang, Jian Fu) Asymptotic behaviour in planar vortex theory. 
(Italian summary) 924:35224 

Amick, Charles J. On the asymptotic form of Navier-Stokes flow past a body in the plane. 
92b:35121 

Amrouche, Chérif (with Girault, Vivette) On the existence and regularity of the solution of 
Stokes problem in arbitrary dimension. 92i:35098 

Babin, A. V. The asymptotic behavior as |x| — oo of functions lying on the attractor of 
the two-dimensional Navier-Stokes system in an unbounded plane domain. (Russian) 
92k:35214 

Bartuccelli, M. (with Doering, Charles R.; Gibbon, John D.) Ladder theorems for the 2D 
and 3D Navier-Stokes equations on a finite periodic domain. 92b:35122 

Bogovskii, M. E. (with Maslennikova, V. N.; Uérdian, Zh. A.) A boundary value problem 
with discontinuous boundary conditions in ocean dynamics under the action of a 
hurricane. (Russian) 

Bona, Jerry L. see Abergel, Frédéric, 92k:35213 

Borchers, Wolfgang (with Miyakawa, Tetsuro) Algebraic L? decay for Navier-Stokes flows 
in exterior domains. 924:35225 

Boudourides, Moses A. (with Nikoudes, Apostolos C.) The attractor of thermosolutal 
convection. 92a:35130 

Bownds, John M. (with Rizk, Tony A.) The inverse Laplace transform of an exact analytical 
solution for a BVP in groundwater theory. 92m:35201 

Brzeiniak, Zdzislaw On analytic dependence of solutions of Navier-Stokes equations with 
respect to exterior force and initial velocity. 92m:35202 

Capirtiski, Marek (with Cutland, Nigel J.) Statistical solutions of Navier-Stokes equations 
by nonstandard densities. 92k:35215 

Chae, Dongho The vanishing viscosity limit of statistical solutions of the Navier-Stokes 
equations. I. 2-D periodic case. 92¢:35124 

— The vanishing viscosity limit of statistical solutions of the Navier-Stokes equations. II. 
The general case. 92e:35125 

Chemin, Jean-Yves Poches de tourbillon et structure géométrique dans les fluides incom- 
pressibles bidimensionnels. (English summary) [Vortex patches and geometric structure 
in two-dimensional incompressible fluids] (see 92d:35009) 

— Persistance des structures géométriques liées aux poches de tourbillon. [Persistence of 
geometric structures associated with vortex patches] (see 92£:35007) 

Chen, Zhi Min A sharp decay result on strong solutions of the Navier-Stokes equations in 
the whole space. 92g:35173 

Constantin, Peter Remarks on the Navier-Stokes equations. (see 92:76006) 

Cutland, Nigel J. see Capitiski, Marek, 92k:35215 

Deckelnick, Klaus Decay estimates for the compressible Navier-Stokes equations in 
unbounded domains. 92k:35216 

Delort, Jean-Marc Existence de nappes de tourbillon pour l’équation d’Euler sur le plan. 
[Existence of vortex sheets for the Euler equation in the plane] (see 92f:35007) 

Denisova, I. V. (with Solonnikov, V. A.) Solvability in Hélder spaces of a model initial- 
boundary value problem generated by a problem on the motion of two fluids. (Russian. 
English summary) 92¢:35126 

Deuring, Paul The Stokes-system in exterior domains: existence, uniqueness, and regularity 
of solutions in L’-spaces. 92k:35217 

— Addendum: “An integral operator related to the Stokes system in exterior domains” 
(Math. Methods Appl. Sci. 13 (1990), no. 4, 323-333; MR 91i:35151]. 

Doering, Charles R. (with Gibbon, John D.) Note on the Constantin-Foias-Temam 
attractor dimension estimate for two-dimensional turbulence. 92e:35127 

— see also Bartuccelli, M.; et al., 92b:35122 

Dubois, Francois Une formulation tourbillon-vitesse-pression pour le probléme de Stokes. 
(English summary) [A vorticity-velocity-pressure formulation for the Stokes problem] 
92m:35203 

Dubois, T. (with Jauberteau, F.; Marion, Martine; Temam, Roger) Subgrid modelling and 
the interaction of small and large wavelengths in turbulent flows. 92b:35123 

Dubrovin, B. A. On the differential geometry of strongly integrable systems of hydrodynam- 
ics type. (Russian) 92g:35174 

Dzhaikbaev, A. M. (with Isaev, S. A.) Asymptotic expansion of a singular boundary value 
problem for the Navier-Stokes system. (Russian) 92m:35204 

Emel’yanova, D. V. see Oskolkov, A. P., 92f:35117 

Foias, Ciprian (with Saut, Jean-Claude) Asymptotic integration of Navier-Stokes equations 
with potential forces. I. 92g:35175 

Forste, J. Das Driftmodell fiir FlieBgewasser mit Schwebstoffen. (English and Russian 
summaries) [The drift water for flowing water with suspended matter] 92g:35176 

Fushchich, V.1I. (with Shtelen’, V. M.; Slavutskii, S. L.) Reduction and exact solutions of 
the Navier-Stokes equations. 92¢:35092 

Gerasimenko, V.1. (with Stashenko, M. A.) The method of hydrodynamic potentials in a 
domain with a complex boundary. (Ukrainian. Russian summary) 924:35226 

Gibbon, John D. see Bartuccelli, M.; et al., 92b:35122 and Doering, Charles R., 92e:35127 

Gil’, M. 1. On the uniqueness and stability of steady-state flows of a viscous incompressible 
fluid. (Russian. English summary) 92m:35205 

Girault, Vivette (with Sequeira, Adélia) A well-posed problem for the exterior Stokes 
equations in two and three dimensions. 92c:35093 

— (with Giroire, Jean; Sequeira, Adélia) Formulation variationnelle en fonction courant- 
tourbillon du probléme de Stokes extérieur dans des espaces de Sobolev a poids. (English 
summary) [A variational stream-function and vorticity formulation for the exterior 
Stokes problem in weighted Sobolev spaces] 92h:35180 

— see also Amrouche, Chérif, 92i:35098 

Giroire, Jean see Girault, Vivette; et al., 92h:35180 

Goodman, Jonathan (with Hou, Thomas Y.) New stability estimates for the 2-D vortex 





619 1992 


method. 92g:35177 

Gustafsson, Bertil (with Stoor, Hans) Navier-Stokes equations for almost incompressible 
flow. 92m:35206 

Halpern, Laurence Conditions aux limites artificielles pour le systtme de Navier-Stokes 
incompressible. [Artificial boundary conditions for an incompressible Navier-Stokes 
system] 92h:35181 

Holly, Konstanty Some application of the implicit function theorem to the stationary 
Navier-Stokes equations. 92b:35124 

— A local perturbation of the free fluid in R? causing the motion of a given molecule with a 
given initial acceleration. An example of an instantaneous p with compact support. 
92m:35207 

— Navier-Stokes equations in R? as a system of nonsingular integral equations of Hammer- 
stein type. An abstract approach. 92m:35208 

Hou, Thomas Y. see Goodman, Jonathan, 92g:35177 

Huang, Ai Xiang see Li, Kai Tai; et al., 92k:35223 

IVin, A. A. Euler equations with dissipation. (Russian) 92k:35218 

Isaev,S. A. see Dzhaikbaev, A. M., 92m:35204 

Jauberteau, F. see Dubois, T.; et al., 92b:35123 

Johansson, B. Christer V. Well-posedness in the generalized sense for the incompressible 
Navier-Stokes equation. 92h:35182 

— Well-posedness in the generalized sense for boundary layer 
conditions. 92k:35219 

Kato, Tosio Liapunov functions and monotonicity in the Navier-Stokes equation. 
92a:35131 

Keil‘man, N. E. Solvability in the large of a class of flows of a viscous homogeneous fluid. 
(Russian) 92f:35115 

Kozono, Hideo (with Ozawa, Tohru) Stability in L’ for the Navier-Stokes flow in a n- 
dimensional bounded domain. 92j:35145 

— (with Ogawa, Takayoshi; Sohr, Hermann) Asymptotic behaviour in L’ for weak solutions 
of the Navier-Stokes equations in exterior domains. 92k:35220 

Krutitskii, P. A. On the energy of non-steady-state oscillations of a stratified fluid in a 
semibounded channel. (Russian) 92h:35183 

Kukavica, Igor On the time analyticity radius of the solutions of the two-dimensional 
Navier-Stokes equations. 92k:35221 

Lachowicz, Mirostaw Solutions of nonlinear kinetic equations on the level of the Navier- 
Stokes dynamics. 92k:35222 

Ladyzhenskaya, O. A. First boundary value problem for the Navier-Stokes equations in 
domains with nonsmooth boundaries. (French summary) 92m:35209 

Li, Kai Tai (with Huang, Ai Xiang) Approximate inertial manifolds for Navier-Stokes 
equations. (Chinese. English summary) 92k:35223 

Liu, Tai-Ping Quasilinear hyperbolic-parabolic partial differential equations. 92e:35128 

Liu, Xiaosong On approximate inertial manifolds for two- and three-dimensional turbulent 
flows. 92k:35224 

Marchioro, Carlo On the Euler equations with a singular external velocity field. 922:35094 

Maremonti, Paolo Existence and stability of time-periodic solutions to the Navier-Stokes 
equations in the whole space. 92d:35227 

Marion, Martine see Dubois, T.; et al., 92b:35123 

Maslennikova, V. N. see Bogovskii, M. E.; et al. 

Maslova, N. B. Statistical solutions of Euler equations. (Russian) 92c:35095 

Mikeli¢é, Andro (with Suhadolc, A.; Veseli¢é, K.) On the potential flow of an ideal incom- 
pressible fluid through a porous boundary. 92g:35178 

Miyakawa, Tetsuro see Borchers, Wolfgang, 92d:35225 

Moore, Richard L. Exact nonlinear forced periodic solutions of the Navier-Stokes equation. 
92h:35184 

Nadirashvili, N.S. Wandering solutions of the two-dimensional Euler equation. (Russian) 

Nandakumar, A. K. Steady and evolution Stokes equations in a porous media [medium] 
with nonhomogeneous boundary data: a homogenization process. 92m:35210 

Nikonova, S. V. The linearization method in a problem on the stability of the flow of a fluid 
in a layer. (Russian) 92f:35116 

Nikoudes, Apostolos C. see Boudourides, Moses A., 92a:35130 

Ogawa, Takayoshi see Kozono, Hideo; et al., 92k:35220 

Oskolkov, A. P. (with Akhmatov, M. M.; Shadiev, R. D.) Nonlocal problems for equations 
of the filtration of non-Newtonian fluids in a porous medium. (Russian. English 
summary) 924:35228 

— (with Emel'yanova, D. V.) Some nonlocal problems for two-dimensional equations of 
motion of Oldroyd fluids. (Russian. English summary) 92f:35117 

— (with Shadiev, R. D.) Some nonlocal problems for modified Navier-Stokes equations. 
(Russian. English summary) 92j:35146 

Otelbaev, M. Existence and uniqueness of a regular solution of the Navier-Stokes equation. 
(Kazakh. English and Russian summaries) 92g:35179 

Ozawa, Tohru see Kozono, Hideo, 92)j:35145 

Petunin, I. M. The Cauchy problem for a system of equations of a rotating compressible 
fluid. (Russian) 924:35229 

Pironneau, Olivier see Achdou, Yves, 92b:35120 

Ponce, Gustavo Remarks on the convergence with vanishing viscosity of Navier-Stokes flow 
to ideal flows in R", n = 2,3. (Spanish summary) 92e:35129 

Prilepko, A. I. (with Vasin, I. A.) Ona nonlinear nonstationary inverse problem of 
hydrodynamics. 92f:35118 

Prouse, Giovanni A uniqueness criterion for the solution of the stationary Navier-Stokes 
equations. (Italian summary) 92m:35211 

Ranger, K. B. A complex variable integration technique for the two-dimensional Navier- 
Stokes equations. 92g:35180 

Rasulov, T. M. Solution of a problem of underground hydromechanics. (Russian. English 
and Azerbaijani summaries) 92b:35125 

Rizk, Tony A. see Bownds, John M., 92m:35201 

Ruas, Vitoriano Une formulation vitesse-tourbillon des équations de Navier-Stokes 
incompressibles tridimensionnelles. (English summary) [A velocity-vorticity formulation 
of the three-dimensional incompressible Navier-Stokes equations] 92j:35147 

Salvi, Rodolfo The equations of viscous incompressible nonhomogeneous fluids in 
noncylindrical domains: on the existence and regularity. (Italian summary) 92a:35132 








ppressing boundary 





35Q Equations of mathematical physics and other areas of application 


35Q30 


— Some problems for nonhomogeneous fluids with time dependent domains and convex 
sets. (Italian summary) 924:35230 

— The equations of viscous incompressible nonhomogeneous fluids: on the existence and 
regularity. 92k:35225 

Samaitis, Kazimieras Solvability of a two-dimensional boundary value p for a system 
of Stokes equations in a domain with zero external cusps. II. (Russian) 92m:35212a 

— Solvability of a two-dimensional boundary value p for a system of Stokes 
equations in a domain with zero external cusps. III. (Russian. English and Lithuanian 
summaries) 92m:35212b 

Saut, Jean-Claude see Foias, Ciprian, 92g:35175 

Schonbek, Maria E. Lower bounds of rates of decay for solutions to the Navier-Stokes 
equations. 92j:35148 

Sequeira, Adélia see Girault, Vivette, 92c:35093 and 92h:35180 

Serre, Denis Evolution d’une masse finie de fluide en dimension 1. (English summary) 
[One-dimensional evolution of a finite mass of fluid] 92h:35185 

Shadiev, R. D. see Oskolkov, A. P.; et al., 92d:35228 and 92):35146 

Shen, Jie On error estimates of projection methods for Navier-Stokes equations: first-order 
schemes. 92m:35213 

Shen, Zhong Wei Boundary value probl for parabolic Lamé systems and a nonstationary 
linearized system of Navier-Stokes equations in Lipschitz cylinders. 92a:35133 

Shtelen’, V. M. see Fushchich, V. L,; et al., 92c:35092 

Sideris, Thomas C. The lifespan of smooth solutions to the three-dimensional compressible 
Euler equations and the incompressible limit. 92f:35119 

Slavutskii, S.L. see Fushchich, V. 1; et al., 92c:35092 

Sohr, Hermann see Kozono, Hideo; et al., 92k:35220 

Solonnikov, V. A. On a boundary value problem for the Navier-Stokes equations with 
discontinuous boundary data. (Italian summary) 92m:35214 

— see also Denisova, I. V., 92e:35126 

Sritharan, S.S. * Invariant manifold theory for hydrodynamic transition. 92g:35181 

Stashenko, M. A. see Gerasimenko, V. I., 92d:35226 

Stoor, Hans see Gustafsson, Bertil, 92m:35206 

Suhadolc, A. see Mikeli¢, Andro; et al., 92g:35178 

Tebaldi, C. Fixed points behaviour in truncated two-dimensional Navier-Stokes equations. 
(see 92b:58003) 

Temam, Roger see Dubois, T.; et al., 92b:35123 

Titi, Edriss Saleh Un critére pour l’approximation des solutions périodiques des équations 
de Navier-Stokes. (English summary) [A criterion for approximating time-periodic 
solutions to the Navier-Stokes equations] 92¢:35130 

Uerdian, Zh. A. see Bogovskii, M. E.; et al. 

Varnhorn, Werner Zur Konstruktion einer numerischen Lésung des Anfangsrandwertprob- 
lems fiir die nichtlinearen Gleichungen von Navier-Stokes. (English summary) [On the 
construction of a numerical solution of the initial-boundary value p for nonlinear 
Navier-Stokes equations] 92h:35186 

Vasin, I. A. see Prilepko, A. I., 92:35118 

Veselié, K. see Mikelié, Andro; et al., 92g:35178 

Wang, Min Zhong see Xu, Xin Sheng; et al., 92m:35215 

Wau, Wang Yi see Zeng, Yu; et al. 

Xu, Xin Sheng (with Wang, Min Zhong) An analytic function method for axisymmetric 
problems for Stokes and ideal flows. (Chinese. English summary) 92m:35215 

Yang, Jian Fu see Ambrosetti, Antonio, 92d:35224 

Zajaczkowski, Wojciech M. On the motion of a drop of a viscous incompressible fluid in an 
ideal incompressible fluid. (Russian and Polish summaries) 92m:35216 

Zeng, Yu (with Wu, Wang Yi) A new exact solution to the Stokes equation. (Chinese) 

Zheng, Yu Xi Concentration-cancellation for the velocity fields in two-dimensional 
incompressible fluid flows. 92e:35131 

Zhura, N. A. A nonlocal boundary value problem for a stationary Stokes system in a 
multiply connected domain. (Russian) 92j:35149 

















Items with secondary classifications in 35Q30 

Abrahams, I. D. (with Wickham, G. R.) The scattering of water waves by two semi-infinite 
opposed vertical walls. 92f:76013 

Alber, H.-D. Existence of three-dimensional, steady, inviscid, incompressible flows with 
nonvanishing vorticity. 92m:76034 

Allaire, Grégoire Homogenization of the Navier-Stokes equations and derivation of 
Brinkman’s law. 92m:35021 

— Homogenization of the Navier-Stokes equations with a slip boundary condition. 
92d:35040 

Anderson, Robert Leonard (with Hebda, Piotr W.; Rideau, Guy) Hamiltonian treatment of 
quasi-linear systems via a Bateman Lagrangian. 92k:58077 

Antontsev, S. N. (with Diaz Diaz, Jess Ildefonso) Space and time localization in the flow 
of two immiscible fluids through a porous medium: energy methods applied to systems. 
92a:76081 

Athanassoulis, G. A. (with Voutsinas, S. G.; Theodoulidis, A. A.) A Hamiltonian varia- 
tional principle for steady, nonlinear, free surface flows. (see 92a:65021) 

Babin, A. V. Asymptotic behavior as |x| — oo of strongly perturbed Poiseuille flows. 
(Russian) 92b:35030 

Baiocchi, Claudio (with Pukhnachev, V. V.) Problems with unilateral constraints for 
Navier-Stokes equations, and the problem of a dynamic boundary angle. (Russian) 
92:76030 

Bakhtizin, R. N. (with Mukhamedshin, R. K.) Invariant solutions of equations of a 
nonisothermic steady-state flow of a viscous fluid in pipes. (Russian) 

Baranov, Yu. S. Semigroups of diffeomorphisms and a case of the motion of a viscous fluid. 
(Russian) 92k:58042 

Barbaszewska-Wisniowska, Anna The weak solutions of the Navier-Stokes type differential 
equation in Hilbert space. (Polish summary) 92m:34137 

Beale, J. Thomas The approximation of weak solutions to the 2-D Euler equations by vortex 
elements. 92b:76018 

Bello, Juan A. (with Fernandez Cara, Enrique; Simon, Jacques) Variation par rapport 
au domaine de l’énergie visqueuse dissipée dans un fluide de Navier-Stokes. (English 
summary) [Variation with respect to the domain of the viscous energy dissipated in a 





35Q30 


Navier-Stokes flow] 92k:76023 

Bergstrom, Lars Initial algebraic growth of small angular dependent disturbances in pipe 
Poiseuille flow. 

Biringen, S. see Danabasoglu, G.; et al., 92b:76041 

Bargers, Christoph Domain imbedding methods for the Stokes equations. 924:65179 

Boules, Adel N. On the existence and uniqueness of the flow in a torus. 92a:76025 

Bruneau, Charles-Henri Least-squares computation of hypersonic flows. 92h:65153 

Bykhovskii, E. B. Mathematical problems in the theory of a one-dimensional isothermic 
flow of gas with cavities. (Russian) 92k:76074 

Chemin, Jean-Yves Evolution of a punctual singularity in an Eulerian flow. (see 92c:35002) 

Chen, Guo Qian (with Chen, Yao Song; Gao, Zhi) Some theoretical aspects of the simplified 
Navier-Stokes (SNS) equations. 

Chen, Xinfu Axially symmetric jets of compressible fluid. 92g:76067 

Chen, Yao Song see Chen, Guo Qian; et al. 

Chow, Chen Yu (with Kao, K. H.) Movement of the dividing streamline in unsteady 
stagnation-point flows. 92a:76027 

Cimatti, Giovanni Bifurcation for the “corona” problem. 92i:78010 

Constantin, Peter (with Kadanoff, Leo P.) Dynamics of a complex interface. 92i:76030 

Danabasoglu, G. (with Saati, A.; Biringen, S.) Three-dimensional simulations of incom- 
pressible and compressible flow stability. 92b:76041 

Debnath, Lokenath The linear and nonlinear Cauchy-Poisson wave problems for an inviscid 
or viscous liquid. 92i:76014 

— On linear and nonlinear water waves on a running stream. 92¢:76008 

Delort, Jean-Marc Existence de nappes de tourbillon en dimension deux. [Existence of 
vortex sheets in dimension two] 92f:76019 

Denisova, I. V. A priori estimates for the solution of the linear nonstationary problem 
connected with the motion of a drop in a liquid medium. (Russian) 92k:35040 

Diaz Diaz, Jestis Ildefonso see Antontsev, S. N., 92a:76081 

Edelen, Dominic G. B. (with Wang, Jian Hua”) Transformation methods for solving 
nonlinear field equations. 92d:58222 

Fernandez Cara, Enrique see Bello, Juan A.; et al., 92k:76023 

Gabov, S. A. (with Sveshnikov, A. G.) * JImnefubie 32244" TeOopHH HeECTalMOHapHBIX 
BHYTpeHHHX BouH. (Russian) [Linear problems in the theory of unsteady internal waves] 
92i:76015 

Galdi, Giovanni P. (with Padula, Mariarosaria) A new approach to energy theory in the 
stability of fluid motion. 92a:76050 

Gao, Zhi see Chen, Guo Qian; et al. 

Gautrin, H.-F. (with Grundland, Alfred M.) Invariance algebra for Euler equations. 
92g:58135 

Ghidaglia, Jean-Michel (with Temam, Roger) Lower bound on the dimension of the 
attractor for the Navier-Stokes equations in space dimension 3. 92g:35016 

Giga, Yoshikazu (with Sohr, Hermann) Abstract L? estimates for the Cauchy problem with 
applications to the Navier-Stokes equations in exterior domains. 92m:35114 

Gliklikh, Yu. E. On a Lagrangian approach to the hydrodynamics of a viscous incompress- 
ible fluid. (Russian) 92j:58015 

Goncharova, O. N. The method of hydrodynamic potentials in stationary problems of the 
dynamics of a viscous fluid. (Russian) 92i:76017 

Grundland, Alfred M. (with Martina, L.) On fluid dynamics equations from the point of 
view of the symmetry group reduction and Riemann invariants methods. 92g:35012 

— see also Gautrin, H.-F., 92g:58135 

Gunzburger, Max D. (with Hou, LiSheng; Svobodny, Thomas P.) Analysis and finite 
element approximation of optimal control problems for the stationary Navier-Stokes 
equations with Dirichlet controls. (French summary) 92k:49061 

— (with Hou, LiSheng; Svobodny, Thomas P.) Boundary velocity control of incompressible 
flow with an application to viscous drag reduction. 92k:49043 

Giirlebeck, Klaus Approximate solution of the stationary Navier-Stokes equations. 
92a:65310 

Hagstrom, Thomas Asymptotic analysis of dissipative waves with applications to their 
numerical simulation. (see 92b:00035) 

Halpern, Laurence Artificial boundary conditions for incompletely parabolic perturbations 
of hyperbolic systems. 92m:35020 

Hazard, Christophe Scattering frequencies and resonant states of the linear sea-keeping 
problem. (see 92a:65021) 

Hebda, Piotr W. see Anderson, Robert Leonard; et al., 92k:58077 

Henshaw, William D. (with Kreiss, Heinz-Otto) A numerical study of the propagation 
of perturbations in the solution of the 2D incompressible Navier-Stokes equations. 
92b:65075 

Hertzog, Alain (with Orenga, Pierre) Existence et unicité d’un probléme de mécanique 
des fluides intervenant en océanographie physique. (English summary) [Existence and 
uniqueness of a fluid-mechanics problem in physical oceanography] 92h:76084 

Hoff, David Convection of discontinuities in solutions of the Navier-Stokes equations for 
compressible flow. 92¢e:76051 

— (with Serre, Denis) Nonphysical limits of solutions of the Navier-Stokes equations for 
compressible flow. (see 92h:35002) 

— Discontinuous solutions of the Navier-Stokes equations for compressible flow. 92e:76052 

— (with Serre, Denis) The failure of continuous dependence on initial data for the Navier- 
Stokes equations of compressible flow. 92¢:35019 

Holm, Darryl D. Hamiltonian structure and stability analysis. 92k:58141 

Hou, LiSheng see Gunzburger, Max D.; et al., 92k:49043 and 92k:49061 

Hou, Thomas Y. (with Xin, Xue) Homogenization of linear transport equations with 
oscillatory vector fields. 92k:35028 

Iooss, G. (with Los, Jéréme E.) Bifurcation of spatially quasi-periodic solutions in 
hydrodynamic stability problems. 92b:35026 

— (with Mielke, Alexander) Bifurcating time-periodic solutions of Navier-Stokes equations 
in infinite cylinders. 92b:35027 

Kadanoff, Leo P. see Constantin, Peter, 92i:76030 

Kao, K. H. see Chow, Chen Yu, 92a:76027 

Karagodov, V. P. Estimates for Galerkin approximations for solutions of three-dimensional 
problems of the convection of a viscous incompressible fluid. (Russian) (see 92d:00021) 

Khablov, V. V. Representation of solutions of Euler equations. (Russian) 92f:76020 





PARTIAL DIFFERENTIAL EQUATIONS 


1992 620 


Kholodovskii, S. E. Boundary-value problems with external matching conditions and their 
application to flow through porous media. (Russian) 92k:76079 

Khosla, P. K. see Pordal, H. S.; et al., (92d:00025) 

Kopachevskii, N. D. Inversion of Lagrange’s theorem on the stability of small oscillations of 
a capillary viscous fluid. (Russian) 92c:76035 

Kosorin, K. Solution of problem of unknown boundary in free surface flow calculations. 
(see 92m:65004) 

Krasulina, T. Yu. The Stokes formula for the force of resistance. (Russian) 92c:76018 

Kratz, W. (with Peyerimhoff, A.) A numerical algorithm for the Stokes problem based on 
an integral equation for the pressure via conformal mappings. 92a:65334 

Kreiss, Gunilla The dependence on the outflow boundary condition of the solution of 
steady, incompressible Euler equations. 92f:35026 

Kreiss, Heinz-Otto see Henshaw, William D., 92b:65075 

Kroner, Dietmar Asymptotic expansions for a flow with a dynamic contact angle. 92a:76028 

Kulbitskii, Yu. N. (with Struminskii, V. V.) General solution of a problem on the 
hydrodynamic interaction of N particles. (Russian) 92d:76048 

— Continual description of the hydrodynamic interaction of particles. (Russian) 92d:76049 

Kuttler, Kenneth Regularity of the displacement in a one-dimensional viscoelastic material. 
92¢:76057 

Lagunova, M. V. (with Solonnikov, V. A.) Nonstationary problem of thermocapillary 
convection. 92j:76024 

Liao, C. B. see Shih, S. M., 92d:76041 

Lions, Jacques-Louis Remarks on Darcy’s law. 92b:76087 

Liu, Tai-Pirg Interactions of nonlinear hyperbolic waves. 92a:35111 

Los, Jéréme E. see Iooss, G., 92b:35026 

Luke, Jonathan H.C. A minimum principle for Stokes flows containing rigid particles and 
an upper bound on the sedimentation speed. 92m:76046 

Luo, Zhen Dong A mixed finite element analysis for the Navier-Stokes problem in two- 
dimensional spaces. (Chinese. English summary) 

Martina, L. see Grundland, Alfred M., 92g:35012 

Mielke, Alexander see Iooss, G., 92b:35027 

Mikeli¢é, Andro Homogenization of nonstationary Navier-Stokes equations in a domain 
with a grained boundary. 92h:35018 

Minenko, A. S. The minimum problem for a class of integral functions with an unknown 
domain of integration. (Russian) 92j:35191 

Mohapatra, Ram Narayan see Soewono, E.; et al. 

Monakhov, V. N. Problems of the filtration of an incompressible fluid with a composite free 
boundary. (Russian) 92d:76047 

Morino, Luigi Helmholtz and Poincaré potential-vorticity decompositions for the analysis 
of unsteady compressible viscous flows. (see 92h:76002) 

Morro, Angelo (with Straughan, Brian) Continuous dependence on the source parameters 
for convective motion in porous media. 92m:76141 

Moseenkov, V. B. An initial-boundary value problem of the convection of a viscous weakly 
compressible fluid in the presence of axial symmetry. I. Unique solvability in the large. 
(Russian. Ukrainian summary) 92b:76082 

Mukhamedshin, R. K. see Bakhtizin, R. N. 

Nazarov, S. A. (with Pileckas, Konstantinas) The Reynolds flow of a fluid in a thin three- 
dimensional channel. (Russian. English and Lithuanian summaries) 92b:76031 

Neustupa, Jiri (with Novotny, Antonin) Global weak solvability to the regularized viscous 
compressible heat conductive flow. (Czech summary) 92m:76109 

— The global existence of solutions to the equations of motion of a viscous gas with an 
artificial viscosity. 92b:76068 

Novotny, Antonin see Neustupa, Jiri, 92m:76109 

Oliveri, Francesco Derivation of the substitution principle in gas-dynamics by means of Lie 
group techniques. 92a:76076 

Orenga, Pierre see Hertzog, Alain, 92h:76084 

Padula, Mariarosaria see Galdi, Giovanni P., 92a:76050 

Pavlov, B.S. (with Popov, I. Yu.) An acoustic model of zero-width slits and the hydrody- 
namic stability of a boundary layer. (Russian. English summary) 92¢:76057 

Peradzytiski, Z. Isobaric flows of an ideal fluid. (Russian and Polish summaries) 92m:76110 

Perthame, Benoit Second-order Boltzmann schemes for compressible Euler equations in one 
and two space dimensions. (French summary) 92m:76111 

Peyerimhoff, A. see Kratz, W., 92a:65334 

Pileckas, Konstantinas see Nazarov, S. A., 92b:76031 

Pogu, Marc (with Tournemine, Georges) Modelling and study of viscous flows in domains 
with corner. 92i:76020 

Popov, I. Yu. see Pavlov, B. S., 92e:76057 

Pordal, H.S. (with Khosla, P. K.; Rubin, Stanley G.) A flux-split solution procedure for the 
Euler equations. (see 92d:00025) 

Prilepko, A. I. (with Vasin, I. A.) Some nonstationary inverse p 
with final observation. (Russian) 

Primicerio, Mario Systems with nonfading memory encountered in the modellization of 
industrial problems. 92k:76082 

Pukhnachev, V. V. see Baiocchi, Claudio, 92f:76030 

Quarteroni, Alfio (with Valli, Alberto) Theory and application of Steklov-Poincaré 
operators for boundary-value problems. 92m:35069 

Renardy, Michael Compatibility conditions at corners between walls and inflow boundaries 
for fluids of Maxwell type. (German and Russian summaries) 92a:76007 

Rideau, Guy see Anderson, Robert Leonard; et al., 92k:58077 

Ruas, Vitoriano Variational approaches to the two-dimensional Stokes system in terms of 
the vorticity. 92i:76024 

Rubin, Stanley G. see Pordal, H. S.; et al., (92d:00025) 

Saati, A. see Danabasoglu, G.; et al., 92b:76041 

Saccomandi, Giuseppe Group properties and invariant solutions of plane micropolar flows. 
92a:76008 

Schulte-Werning, Burkhard * Numerische Simulation und topologische Analyse der 
abgelésten Stromung an einer Kugel. (German) [Numerical simulation and topological 
analysis of separated flow around a sphere] 92b:76062 

Serre, Denis Ecoulement parfait incompressible a rotationnel croissant avec le temps. 
(English summary) [Inviscid incompressible flow with a linear time-growth of the 





of hyd a4 


J 





621 1992 


vorticity] 92b:76020 

— Variations de grande amplitude pour la densité d’un fluide visqueux compressible. 
(English summary) [Large-amplitude variations of density for a compressible viscous 
fluid] 92b:76069 

— see also Hoff, David, 92c:35019 and (92h:35002) 

Shelukhin, V. V. A problem with time-average data for nonlinear parabolic equations. 
(Russian) 92g:35093 

Shih, S.M. (with Liao, C. B.) A semi-implicit projection method for the numerical solution 
of the incompressible Navier-Stokes equations. 92d:76041 

Shishkov, S. Yu. Physical meaning of the Casimirs of a four-dimensional ideal fluid. 
(Russian. English summary) 92¢:76001 

Shulev, K. A solution of the Navier-Stokes differential equations. (Russian and Bulgarian 
summaries) 92b:76026 

Simon, Jacques see Bello, Juan A.; et al., 92k:76023 

Skobelev, B. Yu. Nonlinear theory of hydrodynamic stability and bifurcations of solutions 
of the Navier-Stokes equations. (Russian) 92c:76031 

— Finite-dimensional invariant approximation of the Navier-Stokes equations and self- 
oscillating modes of the Poiseuille flow. (Russian) 92a:76029 

Soewono, E. (with Vajravelu, K.; Mohapatra, Ram Narayan) Existence of solutions of a 
nonlinear boundary value problem, arising in flow and heat transfer over a stretching 
sheet. 

Sohr, Hermann see Giga, Yoshikazu, 92m:35114 

Solonnikov, V. A. An initial-boundary value problem for a Stokes system that arises in the 
study of a problem with a free boundary. (Russian) 92m:76048 

— (with Tani, A.) Free boundary problem for a viscous compressible flow with a surface 
tension. 92g:35246 

— Solvability of a problem on the evolution of a viscous incompressible fluid, bounded by a 
free surface, on a finite time interval. (Russian) 92h:35245 

— see also Lagunova, M. V., 92j:76024 

Sritharan, S.S. An optimal control problem in exterior hydrodynamics. 92e:76018 

Stoker, J. J. * Water waves. 92m:76029 

Straughan, Brian see Morro, Angelo, 92m:76141 

Struminskii, V. V. see Kul’/bitskii, Yu. N., 92d:76048 

Sudakov, G. G. see Zubtsov, A. V., 92c:76007 

Sveshnikov, A. G. see Gabov, S. A., 92i:76015 

Svobodny, Thomas P. see Gunzburger, Max D.; et al., 92k:49043 and 92k:49061 

Tani, A. see Solonnikov, V. A., 92g:35246 

Temam, Roger see Ghidaglia, Jean-Michel, 92g:35016 

Theodoulidis, A. A. see Athanassoulis, G. A.; et al., (92:65021) 

Tournemine, Georges see Pogu, Marc, 92i:76020 

Tzabiras, G. (with Ventikos, Y.) Calculation of the wave pattern generated by a 2D 
submerged hydrofoil: a Navier-Stokes approach. (see 92a:65021) 

Vajravelu, K. see Soewono, E.; et al. 

Valli, Alberto see Quarteroni, Alfio, 92m:35069 

Varnhorn, Werner Time stepping procedures for the nonstationary Stokes equations. 
92m:76049 

Vasin, I. A. see Prilepko, A. I. 

Ventikos, Y. see Tzabiras, G., (92a:65021) 

Voutsinas, S.G. see Athanassoulis, G. A.; et al., (92a:65021) 

Wang, Jian Hua’ see Edelen, Dominic G. B., 92d:58222 

Wang, Min Zhong see Xu, Xin Sheng, 92m:76050 

Wendland, Wolfgang L. (with Zhu, Jia Lin) The boundary element method for three- 
dimensional Stokes flows exterior to an open surface. 92j:65180 

Wickham, G. R. see Abrahams, I. D., 92f:76013 

Xin, Xue see Hou, Thomas Y., 92k:35028 

Xiong, Xiao Jin (with Zhang, Zi Li) The BEM to the stationary Stokes problem in R?. (see 
92a:00039) 

— see also Zhang, Zi Li; et al. 

Xu, Xin Sheng (with Wang, Min Zhong) General complete solutions of the equations of 
spatial and axisymmetric Stokes flow. 92m:76050 

Ying, Long An The viscosity splitting solutions of the Navier-Stokes equations. 92b:76027 

— Viscosity-splitting scheme for the Navier-Stokes equations. 92k:65150 

Zajaczkowski, Wojciech M. Remarks on the breakdown of smooth solutions for the 3-d 
Euler equations in a bounded domain. (Russian summary) 92a:76022 

Zhang, Lian Wen Finite-element analysis of axisymmetric Navier-Stokes equations. 
(Chinese. English summary) 92b:65092 

Zhang, Zi Li (with Xiong, Xiao Jin) Error estimates of the boundary element method for 
three-dimensional stationary Stokes problems. (Chinese. English summary) 

— see also Xiong, Xiao Jin; et al., (92a:00039) 

Zhu, Jia Lin see Wendland, Wolfgang L., 92j:65180 

Zubtsov, A. V. (with Sudakov, G.G.) Asymptotic solution of the axisymmetric problem of 
ideal fluid flow in the neighborhood of cusped cavities. (Russian) 92c:76007 





35Q35 Other equations arising in fluid mechanics 


Abdelouhab, Laziz Nonlocal dispersive equations in weighted Sobolev spaces. 92k:35226 

Albert, J. P. (with Bona, Jerry L.) Total positivity and the stability of internal waves in 
stratified fluids of finite depth. 92c:35096 

Alekseev, A. A. (with Kudryashov, N. A.) The Wahlquist-Estabrook method for evolution 
equations with a small parameter: a technique of approximating pseudopotentials. 
92m:35217 

Amick, Charles J. (with Toland, J. F.) Uniqueness and related analytic properties for the 
Benjamin-Ono equation—a nonlinear Neumann problem in the plane. 92i:35099 

Ascher, Uri M. (with Markowich, Peter A.; Pietra, Paola; Schmeiser, Christian) A phase 
plane analysis of transonic solutions for the hydrodynamic semiconductor model. 
92h:35187 

Baraille, Rémy (with Bourdin, Ghislaine; Dubois, Frangois; LeRoux, Alain Yves) Une ver- 
sion a pas fractionnaires du schéma de Godunov pour I’hydrodynamique. (English sum- 
mary) [A split version of the Godunov scheme for hydrodynamic models] 92m:35218 


35Q Equations of mathematical physics and other areas of application 


35Q35 


Bikbaev, R. F. The Cauchy problem for waves on shallow water. (Russian. English 
summary) 92b:35126 

Blokhin, A. M. (with Druzhinin, I. Yu.) Formulation of problems on the stability of 
discontinuities in magnetohydrody ics.(Russian) 92f:35120 

Bona, Jerry L. see Albert, J. P., 5096 

Bourdin, Ghislaine see Baraille, Rémy; et al., 92m:35218 

Brown, H.S. (with Kevrekidis, loannis G.; Oron, A.; Rosenau, P.) Bifurcations and pattern 
formation in the “regularized” Kuramoto-Sivashinsky equation. 92m:35219 

Brzeiniak, Zdzislaw (with Capitiski, Marek; Flandoli, Franco) Stochastic partial differential 
equations and turbulence. 924:35231 

Capitiski, Marek see Brzeiniak, Zdzistaw; et al., 92d:35231 

Cotsiolis, Athanase (with Oskolkov, A. P.; Shadiev, R. D.) Asymptotic stability and time 
periodicity of “small” solutions of equations of motion of Oldroyd fluids and Kelvin- 
Voigt fluids. (Russian. English summary) 92e:35132 

Dériat, Emmanuel (with Guiraud, Jean-Pierre) Des fonctions propres de l’opérateur d’Orr- 
Sommerfeld et de son adjoint dans le cas du domaine semi-infini. (English summary) 
[Eigenfunctions of the Orr-Sommerfeld direct and adjoint operators in the semi-infinite 
case] 92h:35188 

Descloux, J. see Kako, Takashi, 92h:35190 

Dobrokhotov, S. Yu. (with Krichever, los. M.) Multiphase solutions of the Benjamin-Ono 
equation and their averaging. (Russian) 92g:35182 

Domanskii, A. V. Stabilization of generalized solutions of degenerate problems in two-phase 
filtration. (Russian) 92h:35189 

Druzhinin, I. Yu. see Blokhin, A. M., 92f:35120 

Du, Qiang (with Gunzburger, Max D.) Analysis of a Ladyzhenskaya model for incompress- 
ible viscous flow. 92e:35134 

Dubois, Francois see Baraille, Rémy; et al., 92m:35218 

van Duijn, C. J. (with Knabner, P.) Solute transport in porous media with equilibrium and 
nonequilibrium multiple-site adsorption: travelling waves. 92a:35134 

Ferapontov, E. V. Integration of weakly nonlinear hydrodynamic systems in Riemann 
invariants. 92j:35150 

Flahaut, Isabelle Attractors for the dissipative Zakharov system. 92d:35232 

Flandoli, Franco see Brzeiniak, Zdzislaw; et al., 92d:35231 

Gil, L. Space and time intermittency behaviour of a one-dimensional complex Ginzburg- 
Landau equation. 92g:35183 

Gishlarkaev, V.1I. Uniqueness of the solution of the Cauchy problem in two-dimensional 
case for the Hopf equation and the direct Kolmogorov equation. (Russian) 92d:35233 

Grillakis, Manoussos G. (with Shatah, Jalal; Strauss, Walter Alexander) Stability theory of 
solitary waves in the presence of symmetry. II. 92a:35135 

Guillopé, Colette (with Saut, Jean-Claude) Existence and stability of steady flows of weakly 
viscoelastic fluids. 92i:35100 

Guiraud, Jean-Pierre see Dériat, Emmanuel, 92h:35188 

Gunzburger, Max D. see Du, Qiang, 92¢:35134 

Guo, Bo Ling The existence and nonexistence of a global smooth solution for the initial 
value problem of generalized Kuramoto-Sivashinsky type equations. (Chinese summary) 
92d:35234 

Hattori, Yoshinori (with Ohya, Yujiro) On a differential operator appearing in the analysis 
of water waves. 92f:35121 

Hu, Xing Biao (with Li, Yong*) Nonlinear superposition formulae of the Ito equation and a 
model equation for shallow water waves. 92d:35235 

IVichev, A. T. (with Seménov, A. Yu.) Orbital stability of boundary states in the theory of 
long waves with additional pressure. (Russian) 92k:35227 

Ivanov, V. A. (with Skiba, Yu. N.) * Hexotopsie TeopembI BuIOKeHHA Ha KOMMAKTHBIX 
OJHOPODHBIX MpPOCTpaHCTBaXx HM HX IPHMeHeHHE K HCCIELOBaHHIO yCTOMYHBOCTH 
6apoTponHonk xusAKOcTH Ha cihepe. (Russian) [Some embedding theorems on compact ho- 
mogeneous spaces and their application to the study of the stability of a barotropic fluid 
onasphere] 92g:35184 

Kako, Takashi {with Descloux, J.) Spectral approximation for the linearized MHD 
operator in cylindrical region. 92h:35190 

Kalis, Harijs Edmunds Formulation and solvability of a nonlinear boundary value problem 
with a discontinuous solution that arises in the description of the electrolysis process. 
(Russian) 92k:35228 

Karagodov, V. P. Local solvability of three-dimensional problems of heat convection of a 
viscous incompressible fluid. (Russian) 92k:35229 

Kenmochi, Nobuyuki (with Kubo, Masahiro) Periodic stability of flow in partially saturated 
porous media. (see 91m:35004) 

Kevrekidis, Ioannis G. see Brown, H. S.; et al., 92m:35219 

Knabner, P. see van Duijn, C. J., 92a:35134 

Krichever, Ios. M. see Dobrokhotov, S. Yu., 92g:35182 

Kubo, Masahiro see Kenmochi, Nobuyuki, (91m:35004) 

Kudashev, V. R. (with Sharapov, S. E.) Hydrodynamic symmetries for the Whitham 
equations for the sine-Gordon equation. 92m:35220 

— (with Sharapov, S. E.) Inheritance of symmetries in the Whitham averaging of the 
Korteweg-de Vries equation, and hydrodynamic symmetries of the Whitham equations. 
(Russian. English summary) 92e:35135 

Kudryashov, N. A. see Alekseev, A. A., 92m:35217 

Kuznetsov, N. G. Uniqueness of the solution of a linear problem on steady oscillations of a 
fluid. (Russian) 92¢:35097 

Lax, Peter D. The zero dispersion limit, a deterministic analogue of turbulence. 92j:35151 

LeRoux, Alain Yves see Baraille, Rémy; et al., 92m:35218 

Li, Yong’ see Hu, Xing Biao, 924:35235 

Lin, Zhi Gui The diffraction problem and Verigin problem of quasilinear parabolic equation 
in divergence form for the one-dimensional case. 92m:35221 

Lo Surdo, C. Some aspects of the axisymmetric magnetohydrostatic problem. 92m:35222 

Markowich, Peter A. see Ascher, Uri M.; et al., 92h:35187 

Matsumura, Akitaka see Yanagisawa, Taku, 92c:35099 

Matsuno, Yoshimasa Backlund transformation, conservation laws, and inverse scattering 
transform of a model integrodifferential equation for water waves. 92a:35136 

MatuSi-Netasova, Sarka Global solution to the isothermal compressible bipolar fluid in a 
finite channel with nonzero input and output. (Czech summary) 92b:35127 











35Q35 


McKay, Geoffrey Continuous dependence on the heat supply for the Boussinesq equations 
with a cubic density law. 92h:35191 

Mikeli¢, Andro Mathematical theory of stationary miscible filtration. 92e:35136 

Miklavtit, Milan Eigenvalues of the Orr-Sommerfeld equation. 92c:35098 

Morgulis, A. B. Lagrangian description of two-dimensional generalized flows of an ideal 
fluid. (Russian) 92g:35185 

Morimoto, Hiroko On nonstationary Boussinesq equations. 92k:35230 

Murakami, Youichi see Tajiri, Masayoshi, 92h:35193 

Ohya, Yujiro see Hattori, Yoshinori, 92f:35121 

Oron, A. see Brown, H. S.; et al., 92m:35219 

Oskolkov, A. P. (with Shadiev, R. D.) On the theory of global solvability on [0, 00) of 
initial-boundary value problems for equations of motion of Oldroyd fluids and Kelvin- 
Voigt fluids. (Russian) 92e:35133 

— see also Cotsiolis, Athanase; et al., 92e:35132 

Pietra, Paola see Ascher, Uri M.; et al., 92h:35187 

Ponce, Gustavo On the global well-posedness of the Benjamin-Ono equation. 92e:35137 

Promislow, Keith Time analyticity and Gevrey regularity for solutions of a class of 
dissipative partial differential equations. 92h:35192 

Rollins, David K. Painlevé analysis and Lie group symmetries of the regularized long-wave 
equation. 

Rosenau, P. see Brown, H. S.; et al., 92m:35219 

Saut, Jean-Claude see Guillopé, Colette, 92i:35100 

Schmeiser, Christian see Ascher, Uri M.; et al., 92h:35187 

Seménov, A. Yu. see Il/ichev, A. T., 92k:35227 

Serégin, G. A. On a dynamical system generated by two-dimensional equations of motion of 
Bingham fluid. (Russian. English summary) 92g:35186 

Shadiev, R. D. see Cotsiolis, Athanase; et al., 92e:35132 and Oskolkov, A. P., 92e:35133 

Sharapov, S. E. see Kudashev, V. R., 92e:35135 and 92m:35220 

Shatah, Jalal see Grillakis, Manoussos G.; et al., 92a:35135 

Showalter, R. E. (with Walkington, Noel J.) Micro-structure models of diffusion in fissured 
media. 92e:35138 

Skiba, Yu. N. * O qHHamMuke BO3MyLICHHM peliecHH ypaBHeHHA BHXPA CKOPOCTH HyleaIbHOK 
%KHAKOCTH Ha chepe. (Russian) [The dynamics of perturbations of solutions of a vortex 
equation of the velocity of an ideal fluid on a sphere] 92g:35187 

— see also Ivanov, V. A., 92g:35184 

Strauss, Walter Alexander see Grillakis, Manoussos G.; et al., 92a:35135 

Tajiri, Masayoshi (with Murakami, Youichi) Rational growing mode: exact solutions to the 
Boussinesq equation. 92h:35193 

Toland, J. F. see Amick, Charles J., 92i:35099 

Trifonov, Yu. Ya. Two-periodical and quasi-periodical wave solutions of the Kuramoto- 
Sivashinsky equation and their stability and bifurcations. 92m:35223 

Walkington, Noel J. see Showalter, R. E., 92e:35138 

Wang, Shou Hong On the 2D model of large-scale atmospheric motion: well-posedness and 
attractors. 92i:35101 

Yanagisawa, Taku (with Matsumura, Akitaka) The fixed boundary value problems for the 
equations of ideal magnetohydrodynamics with a perfectly conducting wall condition. 
92¢:35099 

Yang, Jian Fu Existence and asymptotic behavior in planar vortex theory. 92m:35224 

Yurko, V. A. Integration of the Boussinesq equation on the half-line. (Russian) 92i:35102 

— Solution of the Boussinesq equation on the half-line by the inverse problem method. 
92m:35225 

Zhamalov, R.S. A mixed problem for an evolution equation. (Russian) 92g:35188 


Items with secondary classifications in 35Q35 

Albert, J. P. (with Bona, Jerry L.) Comparisons between model equations for long waves. 
92h:35202 

Arrigo, D. J. Group properties of ux; — uy'uyy = f(u). 92j:35122 

Baisuieuva, Zh. N. Difference schemes for equations of a barotropic viscous gas with a 
nonmonotone state function with cylindrical symmetry. (Russian) (see 92d:35008) 

Barkley, Dwight see Tuckerman, Laurette S., 92g:76046 

Bayada, G. see El Alaoui Talibi, M., 92k:76024 

Beale, J. Thomas Exact solitary water waves with capillary ripples at infinity. 92d:76011a 

Bechtold, John K. (with Margolis, Stephen B.) Nonlinear hydrodynamic stability and 
spinning deflagration of liquid propellants. 92h:80014 

Bellomo, N. (with Lachowicz, Mirostaw; Polewczak, Jacek; Toscani, Giuseppe) 

* Mathematical topics in nonlinear kinetic theory. II. 92m:82110 

Bernardi, Christine (with Pironneau, Olivier) On the shallow water equations at low 
Reynolds number. 92b:76022 

Bernis, Francisco Nonlinear parabolic equations arising in semiconductor and viscous 
droplets models. (see 92m:35003) 

Beyer, K. Die Gleichgewichtsform eines Ferrofluid-Tropfens in zweiter Naherung. (English 
and Russian summaries) [The equilibrium form of a ferrofluid drop in second-order 
approximation] 92j:76101 

Bhattacharjee, Jayanta K. Parametric resonance in Rayleigh-Bénard convection with 
corrugated geometry. 92f:76038 

Biragov, V.S. An investigation of the model equation of stationary waves in a thin layer of a 
viscous incompressible fluid. 92¢:76025 

Bloch, Anthony M. (with Brockett, Roger W.; Kodama, Yuji; Ratiu, T.S.) Spectral 
equations for the long wave limit of the Toda lattice equations. 92h:58079 

Blokhin, A.M. Symmetrization of London equations in the theory of the hydrodynamics of 
superconductors. (Russian) 92j:76102 

Bluman, George Potential symmetries. 92m:35012 

Bocharov, O. B. (with Monakhov, V. N.) Nonisothermal filtration of immiscible fluids with 
variable residual saturations. (Russian) 92h:76080 

Bona, Jerry L. see Albert, J. P., 92h:35202 

Brockett, Roger W. see Bloch, Anthony M.; et al., 92h:58079 

Carbonaro, Bruno Wave propagation in a modified theory of viscous fluid dynamics. 
92m:76107 

Cardin, F. (with Zanzotto, G.) On continuum theories involving quasilinear first order 
nonconservative systems with involutions and a supplementary inequality. 92f:73012 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 622 


Caviglia, Giacomo (with Morro, Angelo) Ray analysis of wave propagation in nonhomoge- 
neous viscoelastic fluids. 92k:76003 

Chester, W. Acoustic resonance in spherically symmetric waves. 92e:76055 

Constantin, Peter (with Kadanoff, Leo P.) Singularities in complex interfaces. 92e:76016 

Cotsiolis, Athanase see Karazeeva, N. A.; et al., 92k:58251 

Cox, Stephen M. (with Roberts, A. J.) Centre manifolds of forced dynamical systems. 
92h:58174 

Craig, Walter Water waves, Hamiltonian systems and Cauchy integrals. (see 92¢:35002) 

Craik, A.D. D. Note on a paper of C. E. Grosch & H. Salwen: “The continuous spectrum of 
the Orr-Sommerfeld equation. I. The spectrum and the eigenfunctions” [J. Fluid Mech. 87 
(1978), no. 1, 33-54; MR 58 #14268]. 92c:76033 

Cullen, M. J.P. (with Norbury, John; Purser, R. J.) Generalised Lagrangian solutions for 
atmospheric and oceanic flows. 92g:76081 

Debussche, Arnaud A singular perturbation of the Cahn-Hilliard equation. 92i:35011 

Doelman, Arjen (with Eckhaus, Wiktor) Quasi-periodic and homoclinic solutions of 
modulation equations. 92f:76047 

(Doolen, Gary D.) see Lattice gas methods for partial differential equations, 92e:82003 

Eckhaus, Wiktor see Doelman, Arjen, 92f:76047 

Eckmann, Jean-Pierre (with Procaccia, Itamar) The generation of spatio-temporal chaos in 
large aspect ratio hydrodynamics. 92b:76053 

EI Alaoui Talibi, M. (with Bayada, G.) Une méthode du type caractéristique pour la 
résolution d’un probléme de lubrification hydrodynamique en régime transitoire. (English 
summary) [A characteristic-type method for the solution of a hydrodynamical lubrication 
problem in transient mode] 92k:76024 

Ferapontov, E. V. Autotransformations with respect to the solution, and hydrodynamic 
symmetries. (Russian) 92m:35013 

— (with Tsarév, S. P.) Systems of hydrodynamic type that arise in gas chromatography. 
Riemann invariants and exact solutions. (Russian. English summary) 92m:76136 

Friedlander, Susan (with Vishik, M. M.) Dynamo theory, vorticity generation, and 
exponential stretching. 92h:76088 

(Frisch, Uriel) see Lattice gas methods for partial differential equations, 92e:82003 

Fushchich, V.I. (with Mironyuk, P. 1.) Conditional symmetry and exact solutions of an 
equation of nonlinear acoustics. (Russian) 92j:35124 

Galkin, V.M. (with Stepan’yants, Yu. A.) On the existence of stationary solitary waves in a 
rotating fluid. (Russian) 92j:76096 

Gianni, Roberto A filtration problem with ponding. (Italian summary) 92k:35294 

Giovine, Pasquale On the dynamics of a mixture of two compressible immiscible fluids. 
(Italian. English summary) 92¢:76050 

Goto, Shun’ichi Singular limit of the incompressible ideal magneto-fluid motion with 
respect to the Alfvén number. 92k:76085 

(Grosch, Chester E.) see Craik, A. D. D., 92¢:76033 

Guo, Bo Ling (with Wu, Xiang Hui) The spectral method for the generalized Kuramoto- 
Sivashinsky equation. 92m:65122 

Gurbatov, S. N. (with Malakhov, A. N.; Saichev, A. I.) * Hennuetiupie cny4atuble BOmHBI B 
cpeax 6e3 qucnepcun. (Russian) [Nonlinear random waves in media without dispersion] 
92£:76001 

(Hasslacher, Brosl) see Lattice gas methods for partial differential equations, 92e:82003 

Heard, Melvin L. Generalized solutions for one-dimensional flows of K-BKZ fluids. 
92£:45011 

Hill, Desmond L. (with Hill, James M.) Utilization of nonlinear diffusion solutions for n- 
diffusion and power-law materials. 92m:76134 

Hill, James M. see Hill, Desmond L., 92m:76134 

Icha, Andrzej An application of first integrals method in magnetic diffusion problem. 
92k:76086 

Jacovkis, Pablo M. One-dimensional hydrodynamic flow in complex networks and some 
generalizations. 924:35178 

Kadanoff, Leo P. see Constantin, Peter, 92¢:76016 

Karazeeva, N. A. (with Cotsiolis, Athanase; Oskolkov, A. P.) Dynamical systems generated 
by initial-boundary value problems for equations of motion of linear viscoelastic fluids. 
(Russian) 92k:58251 

Kartashova, E. A. On properties of weakly nonlinear wave interactions in resonators. 
92m:76055 

Keil'man, N. E. Solvability in the large of a class of flows of a viscous homogeneous fluid. 
(Russian) 92:35115 

Kharif, Christian see Poitevin, Joel, (92a:65021) 

Kodama, Yuji see Bloch, Anthony M.; et al., 92h:58079 

Komarenko, A. N. Construction of positive-definite functionals by means of a quadratic 
form that arises in the theory of hydroelasticity. (Russian) 92g:73064 

Kopp, A. (with Schindler, K.) Singular perturbation theory applied to magnetohydrostatic 
equilibria: proof of convergence. 92b:76093 

Krol, M.S. On the averaging method in nearly time-periodic advection-diffusion problems. 
92h:76077 

Kupershmidt, Boris A. Nonnegativity of mass and entropy in continuous dynamics. 
92£:58059 

Kuttler, Kenneth Initial-boundary value problems for the displacement in an isothermal, 
viscous gas. 92b:76071 

Kuznetsov, N. G. The variational method for determining the natural frequencies of 
oscillations of a fluid in a channel. (Russian) 92d:76014 

Lachowicz, Mirostaw see Bellomo, N.; et al., 92m:82110 

Legowski, Z. A method for improving the smoothness of solutions to probl of i 
flow of a perfect fluid. (Russian and Polish summaries) 92m:76113 

Levi, D. Integrable systems and water waves. An example of symmetry analysis applied to a 
physical problem. 92d:58183 

— Kadomtsev-Petviashvili equations in the description of water waves. 92d:76015 

Lin, Xiao-Biao Existence theory for damped gravity waves in a closed rectangular basin. 
92b:76011 

Malakhov, A. N. see Gurbatov, S. N.; et al., 92:76001 

Manganaro, N. (with Valenti, Giovanna) On shock propagation for a compressible fluid 
supplemented by a generalized von Karman law. 92h:76057 

Margolis, Stephen B. see Bechtold, John K., 92h:80014 





i 





623 1992 


Marin Antunia, J. see Sveshnikov, A. G.; et al., 92a:76073 

Matsuno, Yoshimasa Similarity solution of a nonlinear diffusion equation describing Alfvén 
wave propagation. 92m:76153 

Miersemann, Erich On the singular behaviour of fluid in a vertical wedge. (German and 
Russian summaries) 92j:76013 

Mikeli¢, Andro Remark on the result on homogenization in hydrodynamical lubrication by 
G. Bayada and M. Chambat. (French summary) 92b:76030 

Mironyuk, P. I. see Fushchich, V. I., 92j:35124 

Monakhov, V. N. see Bocharov, O. B., 92h:76080 

Morro, Angelo see Caviglia, Giacomo, 92k:76003 

Naumkin, P.1. (with Shishmarév, I. A.) On the asymptotic behavior for large time values of 
solutions of a system of equations of surface waves. (Russian) 92f:35031 

Netas, Jindrich (with Novotny, Antonin) Some qualitative properties of the viscous 
compressible heat conductive multipolar fluid. 92m:76016 

Norbury, John see Cullen, M. J. P.; et al., 92g:76081 

Novick-Cohen, A. On Cahn-Hilliard type equations. 92g:35105 

Novotny, Antonin Global existence theorems for compressible multipolar fluids. (see 
92m:35004) 

— see also Netas, Jindtich, 92m:76016 

Nutku, Y. (with Szmigielski, J.) Kac-Moody algebras and Hamiltonian operators. 
92i:58080 

(Orszag, Steven A.) see Lattice gas methods for partial differential equations, 92e:82003 

Oskolkov, A. P. see Karazeeva, N. A.; et al., 92k:58251 

Owen, Nicholas C. Gradient theory of phase transitions with general singular perturbations. 
92j:49027 

Parada, Raul Felipe Study of a linear pencil of operators associated with a stability problem 
in fluid mechanics. (Spanish. English summary) 92i:76048 

Peradzytiski, Z. On the initial-boundary value problem for equations of the laminar and 
turbulent flow of superfluid He*. (Russian and Polish summaries) 92f:76011 

Pericak-Spector, K. A. On uniqueness for the slow flow of a dilute suspension of solid 
particles in a fluid. 92m:76144 

Philip, J. R. Exact solutions for redistribution by nonlinear convection-diffusion. 
92m:76129 

Pironneau, Olivier see Bernardi, Christine, 92b:76022 

Pistiner, Arieh (with Shapiro, Michael; Rubin, Hillel) A new solution for the nonlinear 
diffusion-convection equation. 92h:76081 

Pletner, Yu. D. Structural properties of solutions of the equation of gravity-gyroscopic 
waves and the explicit solution of a problem of the dynamics of a stratified rotating fluid. 
(Russian) 92m:76105 

— Representation of solutions of a two-dimensional equation of gravity-gyroscopic waves by 
generalized Taylor and Laurent series. (Russian) 92m:76106 

— Asymptotics of the fundamental solution of the equation of internal waves as f — oo and 
the quasifront phenomenon. (Russian) 92j:76100 

— (with Tverskaya, L. V.) On a problem on the oscillations of a rotating stratified fluid 
excited by a plane two-sided disk. (Russian) 92m:76146 

Poitevin, Joel (with Kharif, Christian) Subharmonic transition of a nonlinear wave train on 
deep water. (see 92a:65021) 

Polewczak, Jacek see Bellomo, N.; et al., 92m:82110 

Pomeau, Yves Extended systems: the impact of nonlinear science. 92i:76053 

Procaccia, Itamar see Eckmann, Jean-Pierre, 92b:76053 

Purser, R. J. see Cullen, M. J. P.; et al., 92g:76081 

Rasulov, M. A. Solution of the plane-radial flow of a fluid in piecewise-h 
(Russian) 92a:76084 

Ratiu, T.S. see Bloch, Anthony M.; et al., 92h:58079 

Roberts, A. J. see Cox, Stephen M., 92h:58174 

Rubin, Hillel see Pistiner, Arieh; et al., 92h:76081 

Rudraiah, N. see Venkatachalappa, M.; et al. 

Ruelle, David The turbulent fluid as a dynamical system. (see 92f:76006) 

Sachdev, P. L. see Venkatachalappa, M.; et al. 

Saichev, A. I. see Gurbatov, S. N.; et al., 92f:76001 

(Salwen, Harold) see Craik, A. D. D., 92c:76033 

Sander, G.C. Exact solutions to nonlinear diffusion-convection problems on finite domains. 
92m:76130 

Schindler, K. see Kopp, A., 92b:76093 

Secchi, Paolo On the evolution equations of viscous gaseous stars. 92j:85005 

Shapiro, Michael see Pistiner, Arieh; et al., 92h:76081 

Sheina, E. A. see Smirnov, A. P., 92f:76022 

Shemarulin, V. E. The basis of contact conservation laws in one-dimensional gas dynamics. 
(Russian) 92m:76116 

Shishmarév, I. A. see Naumkin, P. I., 92f:35031 

Simakov, S.T. see Sveshnikov, A. G.; et al., 92a:76073 

Smirnov, A. P. (with Sheina, E. A.) On a positive infinitely smooth vortex in a zonal flow. 
(Russian. English summary) 92f:76022 

Smyshlyaev, P. P. (with Suranchiev, A. Zh.) Singularly optimal control of the motion of a 
viscous weakly compressible fluid. (Russian) 92f:49010 

Spada, M. (with Wobig, H.) On the existence and uniqueness of dissipative plasma 

ilibri idal domain. 92m:76158 








lainat 

Stepan‘yants, Yu. A. see Galkin, V. M., 92j:76096 

Su, Ning An elliptic-parabolic system arising from the fluid-solute-heat flow through 
saturated porous media. 92f:76087 

Sun, S. M. Existence of a generalized solitary wave solution for water with positive Bond 
number less than 1/3. 92d:76011b 

Sundukova, A. V. Fundamental solution of the equation of gravity-gyroscopic waves and the 
solvability of the interior and the exterior Dirichlet problem. (Russian) 92m:76147 

Suranchiev, A. Zh. see Smyshlyaev, P. P., 92f:49010 

Sveshnikov, A. G. (with Simakov, S. T.; Marin Antunia, J.) Unsteady oscillations of a 
viscous compressible fluid under spatial-periodic excitation. (Russian) 92a:76073 

Sviridyuk, G. A. Solvability of a problem of the thermoconvection of a viscoelastic 
incompressible fluid. (Russian) 92¢:76002 

Szmigielski, J. see Nutku, Y., 92i:58080 


35Q Equations of mathematical physics and other areas of application 


35Q40 


Tkachev, V.G. Some estimates for the mean curvature of graphs over domains in R". 
(Russian) 92i:31004 

Toscani, Giuseppe see Bellomo, N.; et al., 92m:82110 

Tsarév, S. P. The geometry of Hamiltonian systems of hydrodynamic type. The generalized 
hodograph method. (Russian) 92b:58109 

— see also Ferapontov, E. V., 92m:76136 

Tuckerman, Laurette S. (with Barkley, Dwight) Bifurcation analysis of the Eckhaus 
instability. 92g:76046 

Tverskaya, L. V. see Pletner, Yu. D., 92m:76146 

Valenti, Giovanna see Manganaro, N., 92h:76057 

Varlamov, V. V. On a hyperbolic equation that describes wave processes in media with 
dispersion and absorption. (Russian) 92h:35121 

Venkatachalappa, M. (with Rudraiah, N.; Sachdev, P. L.) Exact nonlinear travelling 
hydromagnetic wave solutions. 

Vishik, M. M. see Friedlander, Susan, 92h:76088 

Wobig, H. see Spada, M., 92m:76158 

(Wolfram, Stephen) see Lattice gas methods for partial differential equations, 92e:82003 

Wu, Xiang Hui see Guo, Bo Ling, 92m:65122 

Zanzotto, G. see Cardin, F., 92f:73012 


Items listed otherwise than by author 
Bibliography: 
Lattice gas experimentation and theory * Lattice gas methods for partial differential 
equations. 92¢:82003 
Lattice gas methods for partial differential equations * Lattice gas methods for partial 
differential equations. 92¢:82003 
Santa Fe, NM * Lattice gas methods for partial differential equations. 92¢:82003 
Workshop: 
Large Nonlinear Systems * Lattice gas methods for partial differential equations. 
92e:82003 


35Q40 Equations from quantum mechanics 


Andreitsev, A. Yu. Some exact solutions of the nonlinear Dirac equation. (Russian) (see 
92b:35011) 

Ashbaugh, Mark S. (with Benguria, Rafael D.; Yarur, Cecilia) Properties of the positive 
solution of a generalized Thomas-Fermi-von Weizsacker equation. 92f:35122 

Benguria, Rafael D. see Ashbaugh, Mark S.; et al., 92f:35122 

Chebotarév, A. M. see Konstantinov, A. A.; et al., 92i:35103 

Chen, Qing Yi Octet solutions to Dirac systems of equations. (Chinese. English summary) 
92h:35194 

Degond, Pierre (with Markowich, Peter A.) A quantum-transport model for semicon- 
ductors: the Wigner-Poisson problem on a bounded Brillouin zone. (French summary) 
92e:35139 

Dias, Joao-Paulo (with Figueira, Mario) On the existence of a global solution of the Cauchy 
problem for a Klein-Gordon-Dirac system. (French summary) 92e:35140 

Fedorchuk, I. M. Reduction of the Born-Infeld equation. (Russian) (see 92b:35011) 

Figueira, Mario see Dias, Joao-Paulo, 92e:35140 

Fushchich, V. I. The symmetries and exact solutions of multidimensional nonlinear spinor 
equations. 92h:35195 

Georgiev, Vladimir S. (with Kovachev, V. Khr.) Nonlinear problems in quantum mechan- 
ics. 92j:35152 

— Small amplitude solutions of the Maxwell-Dirac equations. (see 92m:35004) 

Hai, Wen Hua A class of nonlinear K-G equations over R2" and their soliton solutions. 
(Chinese) 92k:35231 

Kappeler, Thomas (with Pinn, Klaus; Wieczerkowski, Christian) Renormalization group 
flow of a hierarchical sine-Gordon model by partial differential equations. 92j:35153 

Kedzia, Katarzyna see Lawrynowicz, Julian; et al., 92j:35154 

Konstantinov, A. A. (with Maslov, V. P.; Chebotarév, A. M.) Probabilistic representations 
of solutions of the Cauchy problem for equations of quantum mechanics. (Russian) 
92i:35103 

Kovachev, V. Khr. see Georgiev, Vladimir S., 92j:35152 

Lavkin, A. G. The direct Lyapunov method and the stability of some solutions of the 
nonlinear Klein-Gordon equation. (Russian) 

Lawrynowicz, Julian (with Kedzia, Katarzyna; Suzuki, Osamu) Supercomplex structures, 
surface soliton equations, and quasiconformal mappings. 92j:35154 

Markowich, Peter A. see Degond, Pierre, 92e:35139 

Maslov, V. P. see Konstantinov, A. A.; et al., 92i:35103 

Meftah, Mokhtar Conditions suffisantes pour la compacité de la résolvante d’un opérateur 
de Schrédinger avec un champ magnétique. [Sufficient conditions for the compactness of 
the resolvent of a Schrédinger operator with a magnetic field] 92h:35196 

Nikolaev, N. Ya. see Volkodavov, V. F., 92b:35128 

Ottesen, Johnny Tom The Dirac equation with light-cone data. 92c:35100 

Pinn, Klaus see Kappeler, Thomas; et al., 92j:35153 

Serov, N. I. Reduction and exact solutions for the one-dimensional Born-Infeld equation. 
(Russian. English summary) 92k:35232 

Suzuki, Osamu see Lawrynowicz, Julian; et al., 92j:35154 

Tu, Khiet Analytic solution to the Thomas-Fermi and Thomas-Fermi-Dirac-Weizsacker 
equations. 

Vinogradov, V.S. Spinor systems. (Russian) 92j:35155 

Volkodavov, V. F. (with Nikolaev, N. Ya.) Boundary value problems for the Klein-Gordon 
equation. (Russian) 92b:35128 

Wan, Yieh Hei On Vlasov-Poisson equation. 924:35236 

Wieczerkowski, Christian see Kappeler, Thomas; et al., 92j:35153 

Yao, Jing Qi Solutions to a Schrédinger-Hartree equation. (Chinese) 92j:35156 

Yarur, Cecilia see Ashbaugh, Mark S.; et al., 92f:35122 


Items with secondary classifications in 35Q40 
Ablowitz, Mark J. see Chakravarty, Sarbarish; et al., 92a:81111a and 92a:81111b 





35Q40 


Anderson, Arlen Intertwining of exactly solvable Dirac equations with one-dimensional 
potentials. 92a:81020 

Arnold, Anton (with Nier, Francis) The two-dimensional Wigner-Poisson problem for an 
electron gas in the charge neutral case. 92m:82077 

— (with Nier, Francis) Numerical analysis of the deterministic particle method applied to 
the Wigner equation. 92g:65096 

Bagrov, Y.G. (with Shapovalov, A. V.; Shirokov, I. V.) Generation of new exactly solvable 
potentials for the nonstationary Schrédinger equation. (Russian. English summary) 
92m:34188 

Barannik, A. F. (with Barannik, L. F.; Fushchich, V.1.) Reduction and exact solutions of 
the eikonal equation. (Russian. Ukrainian summary) 92h:58203 

Barannik, L. F. see Barannik, A. F.; et al., 92h:58203 

Bogolyubov, N. N., Jr. (with Prikarpat-skii, A.K.) A bilocal periodic problem for Sturm- 
Liouville and Dirac operators, and some applications in the theory of nonlinear 
dynamical systems. I. (Russian. Ukrainian summary) 92a:58059 

Borgardt, A. A. (with Karpenko, D. Ya.) New solutions in the Cauchy problem for the 
Klein-Fock equation. (Russian. English summary) 92m:81030 

Boutet de Monvel-Berthier, Anne-Marie An optimal Carleman-type inequality for the Dirac 
operator. 924:47064 

Brezzi, Franco (with Markowich, Peter A.) The three-dimensional Wigner-Poisson 
problem: existence, uniqueness and approximation. 92b:82118 

Cabos, William D. see Shishkin, G. V., 92m:81037 

Cao, Xuan Chuan The theory of coupled differential equations in supersymmetric quantum 
mechanics. 92j:81058 

Casahorran, Javier (with Nam, Soonkeon) Group theory and kink stability equations. 
92£:81088 

Cazenave, Thierry (with Haraux, Alain; Weissler, Fred B.) Une équation des ondes 
complétement intégrable avec non-linéarité homogéne de degré trois. (English summary) 
[A completely integrable wave equation with a cubic nonlocal nonlinearity] 92g:35137 

, Sarbarish (with Ablowitz, Mark J.; Clarkson, Peter A.) Reductions of self- 

dual Yang-Mills fields and classical systems. 92a:81111la 

— (with Ablowitz, Mark J.; Clarkson, Peter A.) Errata: “Reductions of self-dual Yang-Mills 
fields and classical systems”. 92a:81111b 

Chernikov, N. A. * The system whose Hamiltonian is a time-dependent quadratic form in 
coordinates and momenta. 92e:81015 

Choquet-Bruhat, Yvonne (with Noutchegueme, Norbert) Solution des systemes de Yang- 
Mills-Vlasov: théorémes d’existence locale. (English summary) [Solutions of the Yang- 
Mills-Vlasov systems: local existence theorems] 92b:58227 

— (with Noutchegueme, Norbert) Solutions globales du systeme de Yang-Mills-Vlasov 
(masse nulle). (English summary) [Global solutions of the Yang-Mills-Vlasovy system with 
zero rest mass] 92g:58128 

— Yang-Mills fields on Lorentzian manifolds. 92e:58212 

Clarkson, Peter A. see Chakravarty, Sarbarish; et al., 92a:81111a and 92a:81111b 


Danilov, L. I. On the spectrum of the Dirac operator in R” with periodic potential. (Russian. 


English summary) 92a:35119 

Das, Ashok (with Roy, Shibaji) Covariant Lax operators and Kac-Moody algebras. 
92e:58088 

Drake, G. W. F. see Swainson, Robin A., 92i:81049 

Diindarer, A. Resit Multi-instanton solutions in eight-dimensional curved space. 92k:81110 

Fishman, Louis Exact and approximate solutions of the Helmholtz, Weyl composition 
equation in scalar wave propagation. 92g:35051 

Fujii, Akira see Quano, Yas-Hiro, 92k:17026 

Fushchich, V. 1. Some new wave equations in mathematical physics. (Russian) (see 
92b:35011) 

— Construction of solutions of nonlinear d’Alembert, Maxwell, Yang-Mills equations by 
solutions of nonlinear spinor equations. 92j:81081 

— see also Barannik, A. F.; et al., 92h:58203 and Zhdanov, R. Z., 92j:81084 

Georgiev, Viadimir S. (with Popivanov, Pet”r R.) Global solution to the two-dimensional 
Klein-Gordon equation. 92g:35140 

Grosse, H. (with Martin, André; Stubbe, Joachim) Order of energy levels for the Klein- 
Gordon equation. 92b:81023 

Gurarie, David Multiparameter averaging and inverse spectral problem for anharmonic 
oscillators in R". 92k:35203 

Haraux, Alain see Cazenave, Thierry; et al., 92g:35137 

Imaeda, K. see Tachibana, H., 92e:81077 

Imam, Fathia A. see Morsy, M. W. 

Karpenko, D. Ya. see Borgardt, A. A., 92m:81030 

Kato, Tosio (with Yajima, Kenji) Dirac equations with moving nuclei. (French summary) 
92i:81041 

Krolikowski, Wiestaw (with Lambert, Dominique; Lawrynowicz, Julian; Rembielinski, 
Jakub) The CR problem and Hurwitz pairs applied to field theory and solid state physics. 
92m:53121 

Lambert, Dominique see Krélikowski, Wiestaw; et al., 92m:53121 

Larsson, Jonas Hermitian structure for the linearized Vlasov-Poisson and Vlasov-Maxwell 
equations. 92a:82121 

Lawrynovwicz, Julian see Krélikowski, Wiestaw; et al., 92m:53121 

Laziev, M. E. Energy spectrum of the open elliptic membrane. (Russian) 92k:81150 

Li, YiShen see Zeng, Yun Bo, 92h:58098 

Markowich, Peter A. see Brezzi, Franco, 92b:82118 

Martin, André see Grosse, H.; et al., 92b:81023 

Martinez, André Résonances dans !’approximation de Born-Oppenheimer. I. (English 
summary) [Resonances in the Born-Oppenheimer approximation. I] 92c:81027 

Maslov, E. M. Corrigenda: “The inverse problem of dynamics for the nonlinear Klein- 
Gordon equation” [Inverse Problems 7 (1991), no. 1, LI-L5; MR 91k:35254]. 

Masson, David R. Schrédinger’s equation and continued fractions. 92b:81026 

Morsy, M. W. (with Imam, Fathia A.) Effective one-dimensional equation of motion for 
nuclear fission. (Arabic summary) 

Moshinsky, Marcos see Quesne, C., 92a:81025 

Nam, Soonkeon see Casahorran, Javier, 92f:81088 

Nier, Francis see Arnold, Anton, 92g:65096 and 92m:82077 


PARTIAL DIFFERENTIAL EQUATIONS 1992 624 


Nikitin, A.G. Superalgebras of symmetry operators of the Dirac equation. (Russian) (see 
92b:35011) 

Noutchegueme, Norbert see Choquet-Bruhat, Yvonne, 92b:58227 and 92g:58128 

Onufriichuk, S. P. Invariance algebra for the two-particle Breit equation. (Russian) (see 
92b:35011) 

Otchik, V.S. Coloumb spheroidal functions of the continuous spectrum. (Russian. English 
summary) 92m:81035 

Paquin, Gérald Les symétries de Kac-Moody-Virasoro d’une équation d’ondes longues 
dispersives en 2 + 1 dimensions. [The Kac-Moody-Virasoro symmetries of a dispersive 
long wave equation in 2 + 1 dimensions] 92¢:58186 

Parisse, Bernard Résonances pour l’opérateur de Dirac. (English summary) [Resonances for 
the Dirac operator] 92i:81060 

Popivanov, Petr R. see Georgiev, Vladimir S., 92g:35140 

Popov, I. Yu. Integral equations in a model of apertures of zero width. (Russian) 92h:47068 

Prants, S. V. (with Yakupova, L. S.) Analytic solutions to the Bloch equations for 
amplitude- and frequency-modulated fields. (Russian) 92a:81243 

Prikarpat-skii, A. K. see Bogolyubov, N. N., Jr., 92a:58059 

Quano, Yas-Hiro (with Fujii, Akira) Generalized Sklyanin algebra. 92k:17026 

Quesne, C. (with Moshinsky, Marcos) Symmetry Lie algebra of the Dirac oscillator. 
92a:81025 

Rembielinski, Jakub see Krélikowski, Wiestaw; et al., 92m:53121 

Ringhofer, Christian An asymptotic analysis of the quantum Liouville equation. 92e:35035 

Rosenhaus, V. On semi-invariant solutions of self-dual p-brane equations. 92d:81109 

Roy, Shibaji see Das, Ashok, 92e:58088 

Shapovalov, A. V. (with Shirokov, I. V.) Noncommutative integration of Klein-Gordon and 
Dirac equations in Riemannian spaces with a group of motions. (Russian) 92h:81064 

— see also Bagrov, V. G.; et al., 92m:34188 

Shirokov, I. V. see Shapovalov, A. V., 92h:81064 and Bagrov, V. G.; et al., 92m:34188 

Shishkin, G. V. (with Yasin, Mohammed Ali) Generalized Volkov problem. 92m:81036 

— Some generalizations of Volkov’s problem. 92j:81031 

— (with Cabos, William D.) Dirac equation in external fields: separation of variables in 
curvilinear coordinates. 92m:81037 

Sideris, Thomas C. A decay estimate for the three-dimensional inhomogeneous Klein- 
Gordon equation and global existence for nonlinear equations. (see 92¢:35002) 

Simulik, V.M. A connection between the symmetry properties of the Dirac and Maxwell 
equations and conservation laws. (Russian. English summary) 92i:81109 

Smalii, V. F. A Galilei-invariant generalization of the Schiff equation. (Russian) (see 
92b:35011) 

Smith, Penny D. Removable singularities for the Yang-Mills-Higgs equations in two 
dimensions. (French summary) 92a:53035 

Sniatycki, Jedrzej Regularity of constraints in the Minkowski space Yang-Mills theory. 
92i:58190 

Solovej, Jan Philip Proof of the ionization conjecture in a reduced Hartree-Fock model. 
92£:81238 

Spichak, S. V. Vector representation of the Poincaré algebra and exact solution of the Dirac 
equation. (Russian) (see 92b:35011) 

Stubbe, Joachim see Grosse, H.; et al., 92b:81023 

Swainson, Robin A. (with Drake, G. W. F.) A unified treatment of the nonrelativistic and 
relativistic hydrogen atom. III. The reduced Green functions. 92i:81049 

Tachibana, H. (with Imaeda, K.) “4 + 6”-decomposition of ten-dimensional octonionic 
spinor wave equations and derivation of four-dimensional massless Dirac equations. 
92e:81077 

Torres del Castillo, G. F. Solution of nonscalar equations in cylindrical coordinates. 
(Spanish summary) 92j:35023 

Turakulov, Z. Ya. Separating coordinate systems in the Minkowskian space-time. 92f:83038 

Villalba, Victor M. Separation of variables for the Klein-Gordon and Dirac equations in 
two-dimensional space-times with a null coordinate. (French summary) 92b:81032 

Wang, Ronggang The existence of Chern-Simons vortices. 92f:58043 

Weissler, Fred B. see Cazenave, Thierry; et al., 92g:35137 

Xu, Zhen Yuan! The dual of Mj(,(Q; Cm). 92b:35035 

— A function theory for the operator D — A. 92b:47074 

Yajima, Kenji see Kato, Tosio, 92i:81041 

Yakupova, L.S. see Prants, S. V., 92a:81243 

Yang, Yisong Self-dual monopoles in a seven-dimensional gauge theory. 92f:81109 

— On the abelian Higgs model with sources. 92f:58044 

— A generalized self-dual Chern-Simons Higgs theory. 92m:81175 

— Vacuum decay of nonabelian vortices. 92m:58024 

Yasin, Mohammed Ali see Shishkin, G. V., 92m:81036 

Zeng, Yun Bo (with Li, Yi Shen) Two kinds of finite-dimensional systems related to the 
generalized Schrédinger equation. 92h:58098 

Zhdanov, R. Z. General solution of a two-dimensional nonlinear Galilei-invariant spinor 
equation. (Russian) (see 92b:35011) 

— (with Fushchich, V. I.) On the non-Lie symmetry of a Galilei-invariant equation for a 
particle with spin s = 1/2. (Russian. English summary) 92j:81084 

Zhong, Zai Zhe Regular double Riemann-Hilbert problems and double Kac-Moody 
algebraic structures for two-dimensional reduced gravity. 92e:58197 


35Q51 Solitons [see also 58F07] 


Abdullaev, F. Kh. (with Darmanyan, S. A.; Dzhumaev, M. R.) Stochastic parametric 
resonance of solitons. 92j:35157 

Ablowitz, Mark J. Nonlinear evolution equations, solitons and cellular automata. 
92e:35141 

Achuthan, P. (with Narasimhan, R.; Rangarajan, R.) On KdV solitons and Padé approxi- 
mants. 92k:35233 

Belashov, V. Yu. Stability of two-dimensional and three-dimensional solitons in weakly 
dispersive media. (Russian) 92m:35226 

Bogoyavienskii, O. I. Overturning solitons. II. (Russian) 92¢:35142 

— Overturning solitons. III. (Russian) 92¢:35143 

— Overturning solitons. IV. (Russian) 92e:35144 





1992 


Boiti, M. (with Leon, Jéréme Jp.; Pempinelli, F.) Multidimensional solitons and their 
spectral transforms. 92b:35129 

Boyd, John Philip New directions in solitons and nonlinear periodic waves: polycnoidal 
waves, imbricated solitons, weakly nonlocal solitary waves, and numerical boundary value 
algorithms. 924:35237 

Campbell, David K. (with Peyrard, Michel) Chaos and order in nonintegrable model field 
theories. 92h:35197 

Chau, Ling-Lie (with Shao, Chin Ch’ang; Yen, Huang Ch’é) An alternative explicit 
construction of N-soliton solutions in 1 + 1 dimensions. 92h:35198 

Chen, De Fang (with Lou, Sen Yue) Deformation theory for traveling wave solutions of 
KdV equations and higher-order KdV equations. (Chinese. English summary) 92g:35189 

Darmanyan, S. A. see Abdullaev, F. Kh.; et al., 92j:35157 

Davydov, A.S. * Solitons in molecular systems. 92k:35234 

Doktorov, E. V. (with Prokopenya, I. N.) Algebraic version of the soliton perturbation 
theory. 92k:35235 

Dubrovskii, V.G. see Konopel’chenko, B. G., (92f:00025) 

Dzhumaev, M. R. see Abdullaev, F. Kh.; et al., 92j:35157 

Eickermann, Th. see Spatschek, K. H.; et al., (92d:58004) 

Eleonskii, V.M. (with Korolev, V. G.; Kulagin, N. E.; Shil/nikov, L. P.) Branching 
bifurcations of vector envelope solitons and integrability of Hamiltonian systems. 
(Russian) 92e:35145 

Fedorov, Alexey V. (with Malomed, B. A.) Generation of flexural waves on a quasi-one- 
dimensional KP soliton by a point-like dipole. 92m:35227 

Fedyanin, V. K. (with Lisy, V.) On the scattering of solitons at the interface of two sine- 
Gordon systems. (see 92i:58002) 

Fernandez, J.-C. see Reinisch, G., 92k:35237 

Fuchssteiner, Benno Linear aspects in the theory of solitons and nonlinear integrable 
equations. 92i:35104 

Gredeskul, S. A. see Kivshar, Yu. S.; et al., 92m:35228 

Hadouaj, Hichem (with Maugin, Gérard A.) Surface solitons on elastic structures: theory 
and numerics. (see 92a:65021) 

— (with Malomed, B. A.; Maugin, Gérard A.) Dynamics of a soliton in a generalized 
Zakharov system with dissipation. 92g:35190 

Herman, Russell L. Evolution of a modulated KP soliton. 92f:35123 

Hirota, Ryogo (with Ohta, Yasuhiro) Hierarchies of coupled soliton equations. I. 
92b:35130 

Hodnett, P. F. see Moloney, T. P., 92d:35239 

Ichikawa, Yoshi H. see Konno, Kimiaki; et al., 92d:35238 

Infeld, E. see Murawski, K.; et al., 92d:35240 

Kakutani, Tsunehiko see Yoshinaga, Takao; et al., 92k:35239 

Kivshar, Yu. S. (with Gredeskul, S. A.; Sanchez, Angel; Vazquez, Luis) Scattering properties 
of envelope solitons in disordered systems: decay of localization effects by strong 
nonlinearity. 92m:35228 

Konno, Kimiaki (with Mituhashi, Mituo; Ichikawa, Yoshi H.) Soliton on thin vortex 
filament. 924:35238 

Konopel'chenko, B. G. (with Dubrovskii, V.G.) Localized solitons for the Ishimori 
equation. (see 92f:00025) 

Korolev, V.G. see Eleonskii, V. M.; et al., 92e:35145 

Krichever, Igor M. The averaging procedure for the soliton-like solutions of integrable 
systems. 92i:35105 

(Kryachko, E.S.) see Davydov, A. S., 92k:35234 

Kulagin, N. E. see Eleonskii, V. M.; et al., 92e:35145 

Laedke, E. W. see Spatschek, K. H.; et al., (92d:58004) 

Lee, Jong Eao Riemann surface theory in the nonlinear evolution equations. 92k:35236 

Leon, Jéréme Jp. see Boiti, M.; et al., 92b:35129 

Lisy, V. see Fedyanin, V. K., (92i:58002) 

Lou, Sen Yue see Chen, De Fang; et al., 92g:35189 

Malkin, V.M. (with Shapiro, E.G.) Elementary excitations for solitons of the nonlinear 
Schrédinger equation. 92h:35199 

Malomed, B. A. (with Shrira, V.1.) Soliton caustics. 92h:35200 

— see also Hadouaj, Hichem; et al., 92g:35190 and Fedorov, Alexey V., 92m:35227 

Masuda, Mitsuhiro see Yoshinaga, Takao; et al., 92k:35239 

Matayoshi, Seitaro see Sakuda, Yasuhiro, 92i:35106 

Maugin, Gérard A. see Hadouaj, Hichem; et al., 92g:35190 and (92a:65021) 

Meinhold, Peter Uber Solitonenlésungen der Korteweg-de Vries-Gleichung. [On soliton 
solutions of the Korteweg-de Vries equation] 92f:35124 

Mituhashi, Mituo see Konno, Kimiaki; et al., 92d:35238 

Moloney, T. P. (with Hodnett, P. F.) Note on the structure of a three-soliton solution of the 
Korteweg-de Vries equation. 92d:35239 

Murakami, Youichi (with Tajiri, Masayoshi) Interactions between two y-periodic solitons: 
solutions to the Kadomtsev-Petviashvili equation with positive dispersion. 92¢e:35146 

Murawski, K. (with Ziemkiewicz, J.; Infeld, E.) On the stability of plane wave and soliton 
solutions to the Zakharov equations. 924:35240 

Narasimhan, R. see Achuthan, P.; et al., 92k:35233 

Ohta, Yasuhiro see Hirota, Ryogo, 92b:35130 

Pempinelli, F. Solitons and spectral transform for the Kadomtsev-Petviashvili equation. 
92b:35131 

— see also Boiti, M.; et al., 92b:35129 

Persheev, D. V. see Sukhorukov, A. P., 92m:35229 

Peyrard, Michel see Campbell, David K., 92h:35197 

Pietsch, H. see Spatschek, K. H.; et al., (92d:58004) 

Prokopenya, I. N. see Doktorov, E. V., 92k:35235 

Rangarajan, R. see Achuthan, P.; et al., 92k:35233 

Reinisch, G. (with Fernandez, J.-C.) Ehrenfest theorem for nonlinear Klein-Gordon 
solitary waves. 92k:35237 

Sakuda, Yasuhiro (with Matayoshi, Seitaro) A coupling between an envelope soliton 
equation and a bell soliton equation. 1. (Japanese. English summary) 92i:35106 

Sanchez, Angel see Kivshar, Yu. S.; et al., 92m:35228 

Sasa, Narimasa (with Satsuma, Junkichi) New-type of soliton solutions for a higher-order 
nonlinear Schrédinger equation. 92h:35201 


35Q Equations of mathematical physics and other areas of application 


Satsuma, Junkichi see Sasa, Narimasa, 92h:35201 

Shao, Chin Ch’ang see Chau, Ling-Lie; et al., 92h:35198 

Shapiro, E.G. see Malkin, V. M., 92h:35199 

Shil/nikov, L. P. see Eleonskii, V. M.; et al., 92e:35145 

Shrira, V. I. see Malomed, B. A., 92h:35200 

Spatschek, K. H. (with Pietsch, H.; Laedke, E. W.; Eickermann, Th.) On the role of soliton 
solutions in temporal chaos: examples for plasmas and related systems. (see 92d:58004) 

Stalyunas, K. see Valyulis, G., 92k:35238 

Sukhorukov, A. P. (with Persheev, D. V.) Envelope solitons in nonlinear coupled wave- 
guides. (Russian) 92m:35229 

Tajiri, Masayoshi see Murakami, Youichi, 92e:35146 

Tattibekov, K.S. Soliton waves of a magnon-phonon system. (Russian) 

Valyulis, G. (with Stalyunas, K.) Integrability and soliton solutions of equations of three- 
wave interaction. (Russian. English and Lithuanian summaries) 92k:35238 

Vazquez, Luis see Kivshar, Yu. S.; et al., 92m:35228 

Yen, Huang Ch’é see Chau, Ling-Lie; et al., 92h:35198 

Yoneyama, Tohru Interacting soliton equations and a new way to obtain soliton solution— 
KdV case. (see 92d:58003) 

Yoshinaga, Takao (with Masuda, Mitsuhiro; Kakutani, Tsunehiko) Trapping of KdV 
solitons in sinusoidally nonuniform media with weak dissipation. 92k:35239 

Zhang, Peng On a conjecture about the invariance of the collision between solitary waves. 
92m:35230 

Ziemkiewicz, J. see Murawski, K.; et al., 92d:35240 


Items with secondary classifications in 35Q51 

Abdalla, Saad M. (with Osman, El-Sayed) Localization of solitons in disordered materials. 
92i:82118 

Ablowitz, Mark J. (with Herbst, B. M.; Keiser, J. M.) Solitons, numerical chaos and cellular 
automata. 92f:58073 

— (with Herbst, B. M.; Keiser, J. M.) Nonlinear evolution equations, solitons, chaos and 
cellular automata. 92m:58070 

Blaszak, Maciej Symmetries, conservation laws and multisoliton perturbation theory. 
92k:58101 

(Bogolyubov, N. N.) see Solitons and applications, 92i:58002 

Boiti, M. (with Leon, Jéréme Jp.; Pempinelli, F.) On the spectral theory of the Davey- 
Stewartson equation. 92b:35138 

Calogero, F. (with Degasperis, A.) Spectral transform and solitons: how to solve and 
investigate nonlinear evolution equations. (see 92i:58001) 

Cao, Ce Wen (with Geng, Xian Guo) A nonconfocal generator of involutive systems and 
three associated soliton hierarchies. 92j:58043 

Carillo, Sandra see Fuchssteiner, Benno; et al., 92g:58048 

Carson, Larry B = 3 nuclei as quantized multi-skyrmions. 92a:81229 

Degasperis, A. see Calogero, F., (92i:58001) 

Doktorov, E. V. (with Prokopenya, I. N.) Soliton evolution in a gradient light conductor in 
the presence of perturbations. (Russian. English summary) 92¢e:35153 

Dubrovin, B. A. Weakly deformed soliton lattices. 92k:58106 

(Fedyanin, V. K.) see Solitons and applications, 92i:58002 

Flaschka, Hermann (with Newell, Alan C.; Tabor, M.) Integrability. 92i:58074 

Fordy, Allan P. Soliton theory: a brief synopsis. (see 92:58090) 

— Integrable Hamiltonian systems and their fermionic and supersymmetric extensions. 
92j:58049 

— see also Soliton theory: a survey of results, 92f:58090 

Fuchssteiner, Benno (with Konopel’chenko, B. G.; Carillo, Sandra) The action-angle 
transformation for interacting solitons and the dynamics of eigenfunctions for soliton 
equations. (Italian summary) 92g:58048 

Gagnon, Langis (with Winternitz, Pavel) Exact solutions of the cubic-quintic nonlinear 
Schrédinger equation obtained by symmetry reduction. (see 92£:81008) 

Geng, Xian Guo see Cao, Ce Wen, 92):58043 

Grinevich, P. G. (with Krichever, los. M.) Algebraic-geometry methods in soliton theory. 
(see 92£:58090) 

Hadouaj, Hichem (with Malomed, B. A.; Maugin, Gérard A.) Soliton-soliton collisions in a 
generalized Zakharov system. 92f:58163 

Hai, Wen Hua A class of nonlinear K-G equations over R2” and their soliton solutions. 
(Chinese) 92k:35231 

Hasegawa, Akira Optical solitons in fibers—a theoretical review. (see 92m:78001) 

Herbst, B. M. see Ablowitz, Mark J.; et al., 92f:58073 and 92m:58070 

Huang, Nian Ning (with Liao, Guojun G.) Soliton solutions of the nonlinear Schrodinger 
equation and locations of poles of the transmission coefficient. 92a:35145 

— see also Liu, Zhong Zhu; et al., 92b:35143 

lizuka, Takeshi (with Wadati, Miki; Yajima, Tetsu) The unstable nonlinear Schrédinger 
equation and dark solitons. 92k:35259 

Infeld, E. (with Rowlands, George) * Nonlinear waves, solitons and chaos. 92c:76001 

Jaulent, M. (with Martinez Alonso, L.) Multidimensional solitons in terms of fermions. 
(see 92a:00040) 

Joshi, Nalini see Kruskal, Martin D., 92a:58068 

Kapor, Darko V. On the analytical soliton-like solution for the anisotropic Heisenberg 
model. 92e:82019 

Keiser, J. M. see Ablowitz, Mark J.; et al., 92f:58073 and 92m:58070 

Kivshar, Yu. S. Soliton dynamics in coupled sine-Gordon chains. 92e:82067 

Kobayashi, Ken-ichiro N = 2 supersymmetric soliton equation. 92a:58067 

Konopel'chenko, B. G. Soliton eigenfunction equations: the IST integrability and some 
properties. 92g:58051 

— see also Fuchssteiner, Benno; et al., 92g:58048 

Konotop, V. V. (with Vekslerchik, V. E.) Randomly modulated dark soliton. 92f:81241 

Kotlyarov, V. P. The effect of a doubly continuous spectrum of the Dirac operator on 
asymptotic solitons of the nonlinear Schrédinger equation. (Russian) 92d:35271 

Krichever, Ios. M. see Grinevich, P. G., (92f:58090) 

Krélikowski, Wieslaw On some Lagrangian model concerning the solitary waves. 
92m:58064 





35Q51 


Kruskal, Martin D. (with Joshi, Nalini) Soliton theory, Painlevé property, and integrability. 


92a:58068 

Lambert, F. (with Willox, R.) Combinatorial aspects of some classes of linearizable and 
bilinearizable NLPDEs. (see 92a:00040) 

Lee, Choonkyu (with Min, Hyunsoo; Rim, Chaiho) Zero modes of the self-dual Maxwell 
Chern-Simons solitons. 92¢:81147 


Leon, Jéréme Jp. Nonlinear evolutions, spectral transform and solitons in 3 + 1 dimensions. 


924:35279 

— see also Boiti, M.; et al., 92b:35138 

Liao, Guojun G. see Huang, Nian Ning, 92a:35145 

Liu, Zhong Zhu (with Huang, Nian Ning) The direct method of Hirota for finding soliton 
solutions to a generalized nonlinear Schrédinger equation with higher-order corrections. 
(Chinese. English summary) 92b:35143 

Magri, Franco (with Morosi, C.; Tondo, G.) The geometry of soliton equations. 92i:58078 

(Makhan‘kov, V.G.) see Solitons and applications, 92i:58002 

Malomed, B. A. see Hadouaj, Hichem; et al., 92f:58163 

Martinez Alonso, L. see Jaulent, M., (92a:00040) 

Maugin, Gérard A. see Hadouaj, Hichem; et al., 92f:58163 

McLeod, J. B. (with Troy, William C.) The Skyrme model for nucleons under spherical 
symmetry. 92h:34056 

Melnikov, V. K. Integration of the nonlinear Schroedinger equation with a self-consistent 
source. 92b:35145 

Mertsching, J. On the modulation instability of nonlinear Schrédinger equations. 
924:35272 

Mikhailov, A.S. Intermittency of growth and solitons of the nonlinear Schrédinger 
equation. 92d:35128 

Min, Hy see Lee, Choonkyu; et al., 92e:81147 

Miwa, Tetsuji Infinite-dimensional Lie algebras as hidden symmetries of soliton equations. 
(see 92£:58090) 

Morosi, C. see Magri, Franco; et al., 92i:58078 

Nakamura, Akira? Explicit one-soliton solutions of the (1 + 1)-dimensional Toda molecule 
equation and their large molecule limit of the infinite Toda lattice. 92d:58084 

Narita, Kazuaki Soliton solution for discrete Hirota equation. 92d:39013 

— Soliton solutions for discrete Hirota equation. II. 92g:39002 

Newell, Alan C. see Flaschka, Hermann; et al., 92i:58074 

Ortiz, Eduardo L. On the numerical treatment of a system of nonlinear partial differential 
equations related to solitons propagation with the tau method. (see 92e:65003) 

Osman, El-Sayed see Abdalla, Saad M., 92i:82118 

(Pashaev, O. K.) see Solitons and applications, 92i:58002 

Pempinelli, F. see Boiti, M.; et al., 92b:35138 

Pesenson, M. Z. Nonlinear waves traveling upon a front of solitons. 92h:76023 

Potasek, M. J. see Tasgal, R. S., 92j:35173 

Prokopenya, I. N. see Doktorov, E. V., 92e:35153 

Razgulin, A. V. (with Shameeva, T. Yu.) Approximation and regularization of an optimal 
control problem for a nonlinear equation of Schrédinger type. (Russian) 92a:49038 

Rim, Chaiho see Lee, Choonkyu; et al., 92e:81147 

Rogers, Colin Backlund transformations in soliton theory. (see 92f:58090) 

Rowlands, George see Infeld, E., 92c:76001 

Ruijsenaars, S. N. M. Finite-dimensional soliton systems. 92g:58056 

Sachs, J.R. see Takahashi, D.; et al., 92¢:86009 

Satsuma, Junkichi see Takahashi, D.; et al., 92g:86009 

Schilling, Randolph James Multiple Hamiltonian structures and soliton equations with 
explicit x-dependence. 92k:58126 

Shameeva, T. Yu. see Razgulin, A. V., 92a:49038 

Tabor, M. see Flaschka, Hermann; et al., 92i:58074 

Takagi, Shin Electromagnetic steering of charged nonlinear Schrédinger solitons. 
92g:81035 

Takahashi, D. (with Sachs, J. R.; Satsuma, Junkichi) Soliton phenomena in a porous 
medium. 92g:86009 

Tasgal, R.S. (with Potasek, M. J.) Soliton solutions to coupled higher-order nonlinear 
Schrédinger equations. 92j:35173 

Tenenblat, Keti Multidimensional equations and differential geometry. 92e:35018 

Tondo, G. see Magri, Franco; et al., 92i:58078 

Troy, William C. see McLeod, J. B., 92h:34056 

Vazquez, Luis Remarks about the dynamics of the solitary waves. (see 92b:00047) 

Vekslerchik, V. E. see Konotop, V. V., 92f:81241 

Wadati, Miki Deformation of solitons in random media. 92a:82117 

— see also lizuka, Takeshi; et al., 92k:35259 

Willox, R. see Lambert, F., (92a:00040) 

Winternitz, Pavel see Gagnon, Langis, (92f:81008) 

Yajima, Tetsu see lizuka, Takeshi; et al., 92k:35259 


Items listed otherwise than by author 
All-Union Seminar: 
Solitons in Nonintegrable Systems * Solitons and applications. 92i:58002 
Birthday: 
Bogolyubov, N. N. * Solitons and applications. 92i:58002 
Dubna * Solitons and applications. 92i:58002 
Soliton theory: a survey of results * Soliton theory: a survey of results. 92f:58090 
Solitons and applications * Solitons and applications. 92i:58002 
Workshop: 
Solitons and Applications * Solitons and applications. 92i:58002 





35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine- 
Gordon, sinh-Gordon, etc.) [see also 58F07] 
Abdullaev, F. Kh. (with Darmanyan, S. A.; Umarov, B. A.) Chaotic dynamics of the sine- 
Gordon solitons under the action of periodic perturbations. 92j:35158 


Ablowitz, Mark J. Painlevé equations and the inverse scattering and inverse monodromy 
transforms. 92¢:35147 


PARTIAL DIFFERENTIAL EQUATIONS 1992 626 


— (with De Lillo, S.) Forced and semiline solutions of the Burgers equation. 92¢:35101 

— (with Villarroel, Javier) On the Kadomtsev-Petviashvili equation and associated 
constraints. 92i:35107 

— see also Villarroel, Javier, 92m:35243 

Albert, J. P. (with Bona, Jerry L.) Comparisons between model equations for long waves. 
92h:35202 

Amick, Charles J. (with Toland, J. F.) Uniqueness of Benjamin’s solitary-wave solution of 
the Benjamin-Ono equation. 92c:35102 

Anderson, Robert Leonard An aspect of the application of F-P-S linearization to soliton 
equations—the distorted Fourier transform. (see 92b:00042) 

Au, Chi A series of new exact solutions to the nonlinear equation y; + xxx — 6y?yx + 
6Ay, =0. 924:35256 

Babich, M. V. Smoothness of real finite-gap solutions of equations connected with the sine- 
Gordon equation. (Russian) 92d:35241 

— Real finite-gap solutions of the equation Au = chu. (Russian) 92k:35240 

Babu, M. Surendra Prasad On the construction of the differential equation for the group of 
Burgers’ equation. 92j:35159 

Bender, Carl M. (with Boettcher, Stefan; Milton, Kimball A.) A new perturbative approach 
to nonlinear partial differential equations. 92j:35160 

Bessis, Daniel (with Fournier, J.-D.) Complex singularities and the Riemann surface for 
the Burgers equation. 92d:35242 

Bharathikannan, R. see Porsezian, K.; et al., 92d:35258 

Bikbaev, R. F. (with Tarasov, V.O.) An inhomogeneous b y value p on the 
semi-axis and on a segment for the sine-Gordon equation. (Russian) 92m:35231 

Boettcher, Stefan see Bender, Carl M.; et al., 92j:35160 

Bona, Jerry L. see Albert, J. P., 92h:35202 

Burman, Sukhanya see Roy Chowdhury, A., 92k:35248 

Calogero, F. (with De Lillo, S.). The Burgers equation on the semiline with general boundary 
conditions at the origin. 92a:35137 

Camassa, R. (with Wu, Theodore Yao-tsu) Stability of some stationary solutions for the 
forced KdV equation. 92f:35125 

Carillo, Sandra see Fuchssteiner, Benno; et al., 92i:35109 

Casastis Latorre, Luis (with Molina Iglesias, Castor) Integral formulation of the KdV 
equation and related equations. (Spanish. English summary) (see 92b:00044) 

Caudrey, P. J. Spectral transforms. (see 92f:58090) 

— Two-dimensional spectral transforms. (see 92f:58090) 

Chen, Qing Yi (with Zou, Feng Wu) Relative oscillations on an active Josephson junction 
line. (see 92g:73001) 

Chen, Wei Zhong see Lou, Sen Yue, 92d:35253 

Cheng, Yi! (with Li, YiShen) The constraint of the Kadomtsev-Petviashvili equation and 
its special solutions. 92d:35243 

— see also Wang, Cun Qi; et al., 92d:35262 

Christ, Michael (with Weinstein, Michael I.) Dispersion of small amplitude solutions of the 
generalized Korteweg-de Vries equation. 92h:35203 

Christiansen, P. L. see Muto, V.; et al., 92k:35246 

Clarkson, Peter A. New exact solutions of the Boussinesq equation. 924:35244 

— (with Winternitz, Pavel) Nonclassical symmetry reductions for the Kadomtsev- 
Petviashvili equation. 92h:35204 

— see also Kruskal, Martin D., 92k:35245 

Coffey, Mark W. On the integrability of Schamel’s modified Korteweg-de Vries equation. 
92h:35205 

Csizmazia, A. P. The Phoenix equation. 92c:35103 

Daniel, Muthiah see Porsezian, K.; et al., 92d:35258 

Darmanyan, S. A. see Abdullaev, F. Kh.; et al., 92j:35158 

Deift, Percy see Venakides, Stephanos; et al., 92m:35242 

De Lillo, S. Initial-boundary value problem for integrable equations. 92g:35191 

— see also Calogero, F., 92a:35137 and Ablowitz, Mark J., 92c:35101 

Deng, Keng (with Kwong, Man Kam; Levine, Howard A.) The influence of nonlocal 
nonlinearities on the long time behavior of solutions of Burgers’ equation. 92k:35241 

Dix, Daniel B. Temporal asymptotic behavior of solutions of the Benjamin-Ono-Burgers 
equation. 92¢:35104 

Dtotko, Tomasz Some remarks concerning the one-dimensional Burgers equation. 
92a:35138 

Dubrovskii, V.G. (with Konopel'chenko, B. G.) On the interrelation between the solutions 
of the mKP and KP equations via the Miura transformation. 92i:35108 

— (with Konopel’chenko, B. G.) Coherent structures for the Ishimori equation. I. Localized 
solitons with stationary boundaries. 92f:35126 

— see also Konopel'chenko, B. G., 92k:35244 

El-Sherbiny, H. M. The equivalence between the KdV equation and a class of nonlinear 
differential equations. (Arabic summary) 

Engelbrecht, Jiri K. Solitary waves in systems with energy influx. (see 92k:35002) 

— Solutions to the perturbed KdV equation. 92d:35245 

Ercolani, Nicholas M. (with Forest, M. G.; McLaughlin, David W.) Geometry of the 
modulational instability. III. Homoclinic orbits for the periodic sine-Gordon equation. 
92k:35242 

Euler, N. (with Steeb, Willi-Hans; Mulser, P.) Symmetries of a nonlinear equation in 
plasma physics. 

— (with Steeb, Willi-Hans; Mulser, P.) Lie Backlund vector fields and similarity solutions. 
92¢:35105 

— (with Steeb, Willi-Hans; Mulser, P.) Corrigendum: “Symmetries of a nonlinear equation 
in plasma physics” [J. Phys. A 24 (1991), no. 14, L785-L787]. 

Flahaut, Isabelle Approximate inertial manifolds for the sine-Gordon equation. 92g:35192 

Fofana, D. An integrable system that extends the Korteweg-de Vries equation. (Russian) 
92m:35232 

Forest, M. G. see Ercolani, Nicholas M.; et al., 92k:35242 

Fournier, J.-D. (with Spiegel, E. A.; Thual, O.) Meromorphic integrals of two nonintegrable 
systems. 924:35246 

— see also Bessis, Daniel, 92d:35242 

Fuchssteiner, Benno (with Schulze, Thorsten; Carillo, Sandra) Explicit solutions for the 
Harry Dym equation. 92i:35109 








1992 


Gesztesy, F. (with Holden, Helge; Saab, Elias; Simon, Barry) Explicit construction of 
solutions of the modified Kadomtsev-Petviashvili equation. 92h:35206 

— (with Schweiger, W.; Simon, Barry) Commutation methods applied to the mKdV- 
equation. 92b:35132 

Ghidaglia, Jean-Michel (with Marzocchi, A.) Finite-dimensional global attractors for 
strongly damped wave equations. (see 92k:35002) 

Grammaticos, B. see Ramani, A., 924:35259 

Grigorov, A. see Ouroushev, D.; et al., 92d:35257 

Grimshaw, Roger H. J. (with Tang, Shao Jie) The rotation-modified Kadomtsev- 
Petviashvili equation: an analytical and numerical study. 92a:35139 

Grundland, Alfred M. (with Tuszyiiski, J. A.; Winternitz, Pavel) Jacobi elliptic solutions of 
the quintic nonlinear Klein-Gordon equations. (see 92f:81008) 

Gu, Xin Shen Multiple Darboux transformations and multiple pole solutions for AKNS 
hierarchy. 924:35247 

Gu, Zhu Quan The Lax representation, the Backlund transformation and an infinite family 
of conservation laws for a KP equation. (Chinese) 

Gundersen, Roy M. Three-dimensional n-tuple sine-Gordon and related equations. 
92a:35140 

Guo, Bo Ling Some problems of the generalized Kuramoto-Sivashinsky type equations with 
dispersive effects. 924:35248 

— (with Pan, Xing De) Similarity transformation, the structure of the traveling waves 
solution and the existence of a global smooth solution to generalized Kuramoto- 
Sivashinsky type equations. 924:35249 

Guo, Fu Kui A bilinear Backlund transformation with two parameters for the Boussinesq 
equation. (Chinese. English summary) 92g:35193 

Gutshabash, E. Sh. Gauge equivalence of the Euclidean O(3) o-model and of the elliptic 
sinh-Gordon equation. (Russian. English summary) 92h:35207 

Halford, W. D. see Viieg-Hulstman, M., 92g:35197 

Han, Xiao You see Zhang, Wei Guo; et al., 92i:35112 

Hayashi, Nakao Solutions of the (generalized) Korteweg-de Vries equation in the Bergman 
and the Szegé spaces on a sector. 92f:35127 

— Analyticity of solutions of the Korteweg-de Vries equation. 92h:35208 

Herman, Russell L. Resolution of the motion of a perturbed KdV soliton. 92a:35141 

— Lax pairs, recursion operators and the perturbation of nonlinear evolution equations. (see 
92f:00025) 

Holden, Helge see Gesztesy, F.; et al., 92h:35206 

Hu, Xing Biao (with Li, Yong®>) Some results on the Caudrey-Dodd-Gibbon-Kotera-Sawada 
equation. 924:35250 

— Nonlinear superposition formula of the KdV equation with a source. 92m:35233 

Huang, Guo Xiang see Lou, Sen Yue; et al., 92¢:35109 

Huang, Lie De The necessary condition for short range soliton solution of GKdV equation. 
92£:35128 

Huang, Nian Ning Darboux transformations for the Korteweg-de Vries equation. 92j:35161 

IVichev, A. T. Theory of nonlinear waves described by fifth-order evolution equations. 
(Russian) 92f:35129 

— (with Seménov, A. Yu.) * Stability of subcritical solitary wave solutions to fifth order 
evolution equation. 92j:35162 

Iério, Rafael José, Jr. KdV, BO and friends in weighted Sobolev spaces. 92h:35209 

— Errata to: “On the Cauchy problem for the Benjamin-Ono equation” (Comm. Partial 
Differential Equations 11 (1986), no. 10, 1031-1081; MR 88b:35034]. 92b:35133 

— The Benjamin-Ono equation in weighted Sobolev spaces. 92d:35251 

Irac-Astaud, M. Perturbed nonlinear equations: application to the Korteweg-de Vries 
equation considered as a perturbed Euler equation. 92h:35210 

Jeffrey, A. (with Mohamad, M. N. B.) Exact solutions to the KdV-Burgers’ equation. 
92j:35163 

Joshi, Nalini An explicit one-soliton solution of the (2 + 1)-dimensional generalized sine- 
Gordon equations. 92f:35130 

Kalyakin, L. A. Asymptotics of an integral! that arises in the perturbation theory of KdV 
solitons. (Russian) 92m:35234 

Kashcheev, V. N. * SapucTH4eckHe MeTOJbI NOMy4eHHA pellicHHA HeTHHeMHBIX ypaBHeHHA 
commTouHKH. (Russian) [Heuristic methods for obtaining solutions of nonlinear equations 
of solitonics] 92g:35194 

Kenig, Carlos E. (with Ponce, Gustavo; Vega, Luis) Well-posedness of the initial value 
problem for the Korteweg-de Vries equation. 92c:35106 

Khabibullin, I. T. Backlund transformation and integrable initial-boundary value problems. 
(Russian) 92c:35107 

Khokhlova, Vera Nonlinear waves in nondispersive media—basic equations and properties. 
(see 92m:35004) 

Khristov, E. Kh. (with Yordanov, R. G.) On the linearized nonlinear evolution equations 
associated with Zakharov-Shabat system. 92i:35110 

Kichenassamy, Satyanad Breathers and the sine-Gordon equation. 92m:35235 

Kingston, J.G. (with Sophocleous, C.) On point transformations of a generalised Burgers 
equation. 92a:35142 

— see also Sophocleous, C., 92k:35250 

Komornik, Vilmos (with Russell, David L.; Zhang, Bing-Yu) Stabilisation de l’équation de 
Korteweg-de Vries. (English summary) [Stabilization of the Korteweg-de Vries equation] 
92b:35134 

Konno, Kimiaki Conservation laws of the resonant Boussinesq equation in the complex t- 
plane. 92k:35243 

Konopel'chenko, B. G. (with Strampp, Walter) The AKNS hierarchy as symmetry constraint 
of the KP hierarchy. 92¢:35108 

— Inverse spectral transform for the (2 + 1)-dimensional Gardner equation. 92h:35211 

— (with Dubrovskii, V.G.) Inverse spectral transform for the modified Kadomtsev- 
Petviashvili equation. 92k:35244 

— see also Dubrovskii, V. G., 92:35126 and 92i:35108 

Korsunskii, S. V. Self-similar solutions of two-dimensional equations of Khokhlov- 
Zabolotskaya type. (Russian) 92j:35164 

Kruskal, Martin D. (with Clarkson, Peter A.) The Painlevé-Kowalevski and poly-Painlevé 
tests for integrability. 92k:35245 

Kudryashov, N. A. On types of nonlinear nonintegrable equations with exact solutions. 





35Q Equations of mathematical physics and other areas of application 


35Q53 


92e:35148 

Kwong, Man Kam see Deng, Keng; et al., 92k:35241 

Lambert, F. (with Willox, R.) Combinatorial aspects of some classes of linearizable and 
bilinearizable NLPDEs. (see 92a:00040) 

— (with Willox, R.) Standard nonlinearities associated with KdV-like two-soliton solutions. 
92e:35149 

— (with Willox, R.) Combinatorial properties of some hierarchies of NLPDEs with two- 
soliton potential solutions. 92m:35236 

Levine, Howard A. see Deng, Keng; et al., 92k:35241 

Li, YiShen see Cheng, Yi', 92d:35243 

Li, Yong® see Hu, Xing Biao, 92d:35250 

Li, Zhi Shen The approximate solutions and the error estimates for generalized BBM 
equations and KdV-B equations. (see 92a:00039) 

— see also Zhang, Wei Guo; et al., 92m:35245 

Liu, Qi Ming The Painlevé property of the KdV-mKdV-Burgers equation with time- 
dependent coefficients. (Chinese. English summary) 92e:35150 

— Double Wronskian solutions of the AKNS and the classical Boussinesq hierarchies. 
92g:35195 

Lomdahl, P.S. see Muto, V.; et al., 92k:35246 

Lou, Sen Yue Left-running soliton solutions to the KdV equation and their interactions. 
(Chinese. English summary) 92b:35135 

— (with Huang, Guo Xiang; Ruan, Hang Yu) Exact solitary waves in a convecting fluid. 
92¢:35109 

— Pseudopotentials, Lax pairs and Backlund transformations for some variable coefficient 
nonlinear equations. 92d:35252 

— (with Chen, Wei Zhong) Multidimensional solutions of the nonlinear Klein-Gordon 
equation. 924:35253 

— Generalized Boussinesq equation and KdV equation—Painlevé properties, Backlund 
transformations and Lax pairs. 92m:35237 

Maistrenko, Yu. L. (with Stukanév, I. I.) The first boundary value problem for the Burgers 
equations. (Russian) 92¢:35110 

Malanyuk, T. M. A class of exact solutions of the Kadomtsev-Petviashvili equation. 
(Russian) 92j:35165 

Malkov, K. V. Nonselfadjoint L-A-representation for some nonlinear nonlocal problems. 
(Russian) 92e:35151 

Malomed, B. A. Dynamics of quasi-one-dimensional kinks in the two-dimensional sine- 
Gordon model. 92h:35212 

Marchant, T. R. (with Smyth, N. F.) Initial-boundary value problems for the Korteweg-de 
Vries equation. 92h:35213 

Martinov, Nikolai Konstantinov see Ouroushev, D.; et al., 92d:35257 

Marzocchi, A. see Ghidaglia, Jean-Michel, (92k:35002) 

McLaughlin, David W. see Ercolani, Nicholas M.; et al., 92k:35242 

Milton, Kimball A. see Bender, Carl M.; et al., 92j:35160 

Mohamad, M. N. B. Exact solutions to the combined KdV and mKdV equation. 92j:35166 

— see also Jeffrey, A., 92j:35163 

Molina Iglesias, Castor see Casasiis Latorre, Luis, (92b:00044) 

Morimoto, Hiroko On the existence of weak solutions of stationary Boussinesq equation. 
92g:35196 

Mulser, P. see Euler, N.; et al., 92¢:35105 

Mato, V. (with Christiansen, P. L.; Lomdahl, P. S.) Periodic traveling wave solutions of a 
set of coupled Boussinesq-like equations. 92k:35246 

Naumkin, P.1. (with Shishmarév, I. A.) A problem on the decay of step-like data for the 
Korteweg-de Vries-Burgers equation. (Russian) 92f:35131 

Oba, Roger see Venakides, Stephanos; et al., 92m:35242 

Oliveri, Francesco Painlevé analysis and similarity solutions of Burgers’ equation with 
variable coefficients. 92j:35167 

Osborne, A. R. Nonlinear Fourier analysis for the infinite-interval Korteweg-de Vries 
equation. I. An algorithm for the direct scattering transform. 92d:35254 

— see also Provenzale, A., 924:35255 

Ouroushev, D. (with Martinov, Nikolai Konstantinov; Grigorov, A.) An approach for 
solving the two-dimensional sine-Gordon equation. 924:35257 

Pan, Xing De see Guo, Bo Ling; et al., 92d:35249 

Parker, A. Periodic solutions of the intermediate long-wave equation: a nonlinear 
superposition principle. 92k:35247 

Peipman, T. Spectral changes in formation of solitary waves. (see 92k:35002) 

Ponce, Gustavo see Kenig, Carlos E.; et al., 92c:35106 

Popov, A. G. see Poznyak, E. G., 92m:35238 

Porsezian, K. (with Daniel, Muthiah; Bharathikannan, R.) Generalized x-dependent 
Hirota equation: singularity structure, Backlund transformation and soliton solutions. 
924:35258 

Poznyak, E.G. (with Popov, A. G.) Geometry of the sine-Gordon equation. (Russian) 
92m:35238 

Provenzale, A. (with Osborne, A. R.) Nonlinear Fourier analysis for the infinite-interval 
Korteweg-de Vries equation. II. Numerical tests of the direct scattering transform. 
92d:35255 

Punithavathi, P. see Tamizhmani, K. M., 92b:35136 

Qiao, Zhi Jun A commutator representation of D-AKNS hierarchies. (Chinese. English 
summary) 92m:35239 

Ramani, A. (with Grammaticos, B.) The mKdV with one-half degree of nonlinearity is not 
integrable. Comment on: “A new integrable modified Korteweg-de Vries equation with 
one half degree of nonlinearity” [J. Phys. A 24 (1991), no. 1, LI-L2; MR 91k:35238] by 
Y. Xiao. 92d:35259 

Roberts, A. J. Low dimensionality—approximations in mechanics. (see 92d:00025) 

Rodriguez Bernal, Anibal Remarks on the Kuramoto-Velarde equation. 92d:35260 

Roy Chowdhury, A. (with Burman, Sukhanya) Inverse KdV hierarchy and the soliton 
solution. 92k:35248 

Ruan, Hang Yu see Lou, Sen Yue; et al., 92c:35109 

Russell, David L. see Komornik, Vilmos; et al., 92b:35134 

Saab, Elias see Gesztesy, F.; et al., 92h:35206 

Sakhnovich, L. A. A hyperbolic sine-Gordon equation. (Russian) 92i:35111 





35Q53 


— Integrable nonlinear equations on the semi-axis. (Russian. Ukrainian summary) 
92m:35240 

Schulze, Thorsten see Fuchssteiner, Benno; et al., 92i:35109 

Schweiger, W. see Gesztesy, F.; et al., 92b:35132 

Seménov, A. Yu. see Ilichev, A. T., 92j:35162 

Shih, Shagi-Di Shock layer structure of Burgers’ equation. 92m:35241 

Shishmarév, I. A. see Naumkin, P. I., 92f:35131 

Simon, Barry see Gesztesy, F.; et al., 92b:35132 and 92h:35206 

Sinai, Ya. G. Two results concerning asymptotic behavior of solutions of the Burgers 
equation with force. 924:35261 

Smyth, N. F. see Marchant, T. R., 92h:35213 

Sobczyk, Kazimierz Korteweg-de Vries solitons in a randomly varying medium. 92k:35249 

Sophocleous, C. (with Kingston, J.G.) A class of Backlund transformations for equations 
of the type ux, = f(u,ux). 92k:35250 

— Miura-type transformations. 92k:35251 

— see also Kingston, J. G., 92a:35142 

Souganidis, Panagiotis E. (with Strauss, Walter Alexander) Instability of a class of 
dispersive solitary waves. 92a:35143 

Spiegel, E. A. see Fournier, J.-D.; et al., 92d:35246 

Steeb, Willi-Hans see Euler, N.; et al., 92c:35105 

Strampp, Walter see Konopel'chenko, B. G., 92c:35108 

Strauss, Walter Alexander see Souganidis, Panagiotis E., 92a:35143 

Stukanéyv, I. 1. see Maistrenko, Yu. L., 92c:35110 

Tabor, M. Painlevé property for partial differential equations. (see 92f:58090) 

Tamizhmani, K. M. (with Punithavathi, P.) Similarity reductions and Painlevé property of 
the coupled higher-dimensional Burgers’ equation. 92b:35136 

Tang, Shao Jie see Grimshaw, Roger H. J., 92a:35139 

Tarasov, V.O. see Bikbaev, R. F., 92m:35231 

Tenenblat, Keti On the intrinsic generalized wave and sine-Gordon equations. 92h:35214 

Thual, O. see Fournier, J.-D.; et al., 92d:35246 

Toland, J. F. see Amick, Charles J., 92c:35102 

Tuszytiski, J. A. see Grundland, Alfred M.; et al., (92f:81008) 

Umarov, B. A. see Abdullaev, F. Kh.; et al., 92j:35158 

Vega, Luis see Kenig, Carlos E.; et al., 92¢:35106 

Venakides, Stephanos The Korteweg-de Vries equation with small dispersion: higher order 
Lax-Levermore theory. 92j:35168 

— (with Deift, Percy; Oba, Roger) The Toda shock problem. 92m:35242 

Villarroel, Javier (with Ablowitz, Mark J.) On the method of solution to the 2 + 1 Toda 
equation. 92m:35243 

— see also Ablowitz, Mark J., 92i:35107 

Viieg-Hulstman, M. (with Halford, W.D.) The Korteweg-de Vries-Burgers’ equation: a 
reconstruction of exact solutions. 92g:35197 

Wang, Cun Qi (with Cheng, Yi!) A new Backlund transformation for the MKdV equation 
and a class of new solutions. (Chinese) 924:35262 

Weinstein, Michael I. see Christ, Michael, 92h:35203 

Wen, Shih Liang see Wu, Daxin; et al., 92d:35263 

Willox, R. see Lambert, F., 92e:35149; 92m:35236 and (92a:00040) 

Winternitz, Pavel see Clarkson, Peter A., 92h:35204 and Grundland, Alfred M.; et al., 
(92£:81008) 

Wa, Daxin (with Wen, Shih Liang) A note on the linear stabilities of the solitary and 
cnoidal wave solutions to the two-dimensional KdV equation. 

— (with Wen, Shih Liang) A uniqueness theorem for the two-dimensional generalized 
Kortweg-de Vries equation. 924:35263 

Wa, Theodore Yao-tsu see Camassa, R., 92f:35125 

(Xiao, Yi) see Ramani, A., 924:35259 

Xie, Han Guang (with Xu, Bao Zhi) The Backlund transformations for the sine-Gordon 
equation with nonuniformity terms and the permutability theorem. (Chinese. English 
summary) 92h:35215 

Xing, Jia Sheng Global strong solutions to a class of Burgers-BBM equations. (Chinese. 
English summary) 92m:35244 

Xiong, Shu Lin A class of analytic solutions to the Burgers-KdV equation. (Chinese) 

Xu, Bao Zhi see Xie, Han Guang; et al., 92h:35215 

Yordanov, R. G. see Khristov, E. Kh., 92i:35110 


Zeng, Yun Bo On the use of the Painlevé property for obtaining Miura type transformation. 


92b:35137 

— Recurrence operators and the Painlevé property. (Chinese) 92d:35264 

Zhang, Bing-Yu Unique continuation for the Korteweg-de Vries equation. 92k:35252 

— see also Komornik, Vilmos; et al., 92b:35134 

Zhang, Wei Guo (with Li, Zhi Shen) A class of exact travelling wave solutions to the n- 
dimensional B-BBM equation and the B-KdV equation. (Chinese. English summary) 
92m:35245 

— (with Han, Xiao You) The Cauchy problem for the generalized Benjamin-Bona-Mahony 
equation with dissipative terms. (Chinese. English summary) 92i:35112 

Zou, Feng Wu see Chen, Qing Yi; et al., (92g:73001) 


Items with secondary classifications in 35Q53 

Abdelouhab, Laziz Nonlocal dispersive equations in weighted Sobolev spaces. 92k:35226 

Abdullaev, F. Kh. (with Darmanyan, S. A.; Dzhumaev, M. R.) Stochastic parametric 
resonance of solitons. 92j:35157 

Ablowitz, Mark J. (with Villarroel, Javier) On the complete integrability of certain 
nonlinear evolution equations in one and two spatial dimensions. 92b:58080 

Achuthan, P. (with Narasimhan, R.; Rangarajan, R.) On KdV solitons and Padé approxi- 
mants. 92k:35233 

Adams, Malcolm R. (with Anderson, Robert Leonard; Varley, Robert) Remarks on 
integrable hierarchies in finite dimensions. 92i:58069 

Ain Seba, Bedr’eddine see El Badia, Abdellatif, 92m:35030 

Alber, Solomon J. Associated integrable systems. 92b:58081 

Alekseev, A. A. (with Kudryashov, N. A.) Nonabelian pseudopotentials and conservation 
laws of reaction-diffusion equations. 92h:35101 

Ali, A.H. A. see Gardner, L. R. T.; et al., 92h:65014 and Gardner, G. A.; et al., (92a:65021) 


PARTIAL DIFFERENTIAL EQUATIONS 1992 628 


Anderson, Robert Leonard (with Hebda, Piotr W.; Rideau, Guy) Hamiltonian treatment of 
quasi-linear systems via a Bateman Lagrangian. 92k:58077 

— see also Adams, Malcolm R.; et al., 92i:58069 

Andreev, V. A. (with Burova, M. V.) Lower Korteweg-de Vries equations and the supersym- 
metric structure of the sine-Gordon and Liouville equations. (Russian. English summary) 
92b:58082 

Andrushkiw, R.I. see Tu, Gui Zhang; et al., 92h:58094 

Athorne, Chris see Liu, Qing Ping, 92g:58052 

Baikov, V. A. (with Gazizov, R. K.; Ibragimov, N. Kh.) Approximate symmetries and 
conservation laws. (Russian) 92m:58151 

Bakas, Ioannis (with Depireux, Didier A.) Errata: “A fractional KdV hierarchy”. 
92k:58098b 

— (with Depireux, Didier A.) Self-duality and generalized KdV flows. 92k:58099 

Bellomo, N. (with Bonzani, I.; Sobczyk, Kazimierz) On nonlinear wave processes generated 
by random signals. 92m:35284 

Blaszak, Maciej Symmetries, conservation laws and multisoliton perturbation theory. 
92k:58101 

Blender, Richard Iterative solution of nonlinear partial differential equations. 924:35016 

Bluman, George (with Kumei, S.) Symmetry-based algorithms to relate partial differential 
equations. I. Local symmetries. 92¢e:35015 

— (with Kumei, S.) Symmetry-based algorithms to relate partial differential equations. II. 
Linearization by nonlocal symmetries. 92¢:35016 

Bobenko, A. I. (with Kuksin, S. B.) Finite-gap periodic solutions of the KdV equation are 
nondegenerate. 92m:58052 

Boiti, M. (with Leon, Jéréme Jp.; Pempinelli, F.) Multidimensional solitons and their 
spectral transforms. 92b:35129 

— see also Pempinelli, F.; et al., 92g:58114 

Bona, Jerry L. (with Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William 
R.) Fully-discrete methods with grid refinement for the generalized Korteweg-de Vries 
equation. (see 92h:35002) 

Bonzani, I. see Bellomo, N.; et al., 92m:35284 

Boyd, John Philip see Haupt, Sue Ellen, 92c:76013 

Brio, M. (with Temple-Raston, M.) Regularizations of the inviscid Burgers equation. 
921:65152 

Broeze, Jan see van Daalen, Edwin F. G.; et al., 92e:35098 

Brugarino, Tommaso (with Greco, Antonio M.) Painlevé analysis and reducibility to the 
canonical form for the generalized Kadomtsev-Petviashvili equation. 92¢:58042 

Buchner, K. see Gerold, A., 92k:53007 

Burova, M. V. see Andreev, V. A., 92b:58082 

Calogero, F. (with Nucci, M.C.) Lax pairs galore. 92c:58043 

Campbell, David K. see Newman, William L.; et al., (92a:65021) 

Cao, Ce Wen A classical integrable system and the involutive representation of solutions of 
the KdV equation. 92k:58103 

Capel, H. W. (with Nijhoff, Frank; Papageorgiou, V.G.) Complete integrability of 
Lagrangian mappings and lattices of KdV type. 92f:58077 

Casahorran, Javier (with Nam, Soonkeon) Group theory and kink stability equations. 
92£:81088 

Chan, Wai Leung (with Zheng, Yu Kun) Nonisospectral variable-coefficient higher-order 
Korteweg-de Vries equations. 922:58125 

Chen, De Fang (with Lou, Sen Yue) Deformation theory for traveling wave solutions of 
KdV equations and higher-order KdV equations. (Chinese. English summary) 92g:35189 

— see also Lou, Sen Yue; et al., 92h:58086 

Chen, Deng Yuan (with Zhu, Guo Cheng; Li, Yi Shen) The symmetries of a matrix 
evolution equation of KdV type and its Lie algebra. (Chinese. English summary) 
92e:58194 

Chen, Min see Zou, Feng Wu; et al., 92g:73034 

Chen, Su Qing see Ni, Guang Jiong; et al., 92j:81295 

Chen, Wei Zhong see Lou, Sen Yue; et al., 92h:58086 

Cheng, Yi! Hierarchies of nonlinear integrable equations and their symmetries in 2 + 1 
dimensions. 92h:58081 

— (with Li, YiShen) Lax algebra for the AKNS system. 92k:58105 

— (with Li, Yi Shen) Constraints of the (2 + 1)-dimensional integrable soliton systems. 
92k:35266 

Christiansen, P. L. (with Lomdahl, P. S.; Muto, V.) On a Toda lattice model with a 
transversal degree of freedom. 92d:92023 

van Daalen, Edwin F.G. (with Broeze, Jan; van Groesen, Embrecht) Variational principles 
and conservation laws in the derivation of radiation boundary conditions for wave 
equations. 92e:35098 

Darmanyan, S. A. see Abdullaev, F. Kh.; et al., 92j:35157 

Das, Ashok (with Roy, Shibaji) The zero curvature formulation of the sKdV equations. 
92i:58073 

— (with Roy, Shibaji) Covariant Lax operators and Kac-Moody algebras. 92e:58088 

— (with Huang, Wen-Jui; Roy, Shibaji) The supersymmetric Boussinesq equation. 
92g:58046 

— (with Huang, Wen-Jui; Roy, Shibaji) The zero curvature formulation of the Boussinesq 
equation. 92j:58046 

— (with Huang, Wen-Jui; Panda, Sudhakar) The Hamiltonian structures of the KP 
hierarchy. 92m:58055 

Dean, Edward Jerome (with Gubernatis, P.) Pointwise control of Burgers’ equation—a 
numerical approach. 92i:65107 

Deift, Percy (with Li, Luen Chau; Tomei, Carlos) Matrix factorizations and integrable 
systems. 92a:58062 

— (with Zhou, Xin) A steepest descent method for oscillatory Riemann-Hilbert problems. 
92g:35171 

Demengel, Francoise (with Ghidaglia, Jean-Michel) Inertial manifolds for partial 
differential evolution equations under time-discretization: existence, convergence, and 
applications. (French summary) 92e:35079 

Depireux, Didier A. see Bakas, Ioannis, 92k:58098b and 92k:58099 

Dickey, L. A. Another example of a t-function. 92g:58047 

— Field theoretical (multi-time) Hamiltonian formalism and its application to integrable 





629 1992 


systems. 92h:58083 

— General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants 
of motion. 92b:58087 

— Erratum: “General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and 
constants of motion” [Comm. Math. Phys. 132 (1990), no. 3, 485-497; MR 92b:58087]. 

Dittrich, Peter Travelling waves and long-time behaviour of the weakly asymmetric 
exclusion process. 92¢:60192 

Dougalis, Vassilios A. see Bona, Jerry L.; et al., (92h:35002) 

Dubrovin, B. A. On the differential geometry of strongly integrable systems of hydrodynam- 
ics type. (Russian) 92g:35174 

Dzhumaev, M. R. see Abdullaev, F. Kh.; et al., 92j:35157 

El Badia, Abdellatif (with Ain Seba, Bedr’eddine) Contrélabilité exacte de l’équation de 
Burgers. (English summary) [Exact controllability of Burgers’ equation] 92m:35030 

Fedyanin, V. K. (with Lisy, V.) On the scattering of solitons at the interface of two sine- 
Gordon systems. (see 92i:58002) 

Fei, Zhang (with Vazquez, Luis) Two energy conserving numerical schemes for the sine- 
Gordon equation. 92¢:65122 

Ferapontov, E. V. (with Pavlov, M. V.) Quasiclassical limit of coupled KdV equations. 
Riemann invariants and multi-Hamiltonian structure. 92h:58084 

Fernandez, J.-C. see Reinisch, G., (92d:58004) 

Ferrari, Pablo Augusto (with Kipnis, Claude; Saada, Ellen) Microscopic structure of 
travelling waves in the asymmetric simple exclusion process. 92b:60099 

Flaschka, Hermann (with Newell, Alan C.; Tabor, M.) Integrability. 92i:58074 

Fokas, Athanassios S. see Sung, Li-Yeng, 924:34157 

Fordy, Allan P. Integrable equations associated with simple Lie algebras and symmetric 
spaces. (see 92f:58090) 

— (with Pickering, Andrew) Analysing negative resonances in the Painlevé test. 92k:58108 

Freeman, N.C. (with Gilson, C. R.; Nimmo, J. J.C.) Two-component KP hierarchy and the 
classical Boussinesq equation. 92c¢:58045 

Fuchssteiner, Benno Linear aspects in the theory of solitons and nonlinear integrable 
equations. 92i:35104 

Gabl, Edward F. see Wineberg, Stephen B.; et al., 92k:65139 

Garcia-Archilla, Bosco A supraconvergent scheme for the Korteweg-de Vries equation. 
92k:65146 

Gardner, G. A. (with Gardner, L. R. T.; Ali, A. H. A.) Modelling nonlinear waves with B- 
spline finite elements. (see 92a:65021) 

— see also Gardner, L. R. T.; et al., 92h:65014 

Gardner, L.R.T. (with Gardner, G. A.; Ali, A. H. A.) Simulations of solitons using 
quadratic spline finite elements. 92h:65014 

— see also Gardner, G. A.; et al., (922:65021) 

Gazizov, R. K. see Baikov, V. A.; et al., 92m:58151 

Gerold, A. (with Buchner, K.) Solitons and isometric immersions. 92k:53007 

Ghidaglia, Jean-Michel see Demengel, Francoise, 92e:35079 

Gilson, C. R. see Freeman, N. C.; et al., 92c:58045 

Goldstein, Raymond E. (with Petrich, Dean M.) The Korteweg-de Vries hierarchy as 
dynamics of closed curves in the plane. 92g:58050 

Gragert, Peter K. H. (with Kersten, Paul H. M.) Graded differential geometry in REDUCE: 
supersymmetry structures of the modified KdV equation. 92h:58003 

— see also Kersten, Paul H. M., (92:81008) 

Greco, Antonio M. see Brugarino, Tommaso, 92c:58042 

Grinevich, P.G. (with Orlov, A. Yu.) Effect of additional symmetries of K-P equation on 
finite-gap solutions and variations of Riemann surfaces. The Krichever-Novikov problem. 
(see 92i:58002) 

van Groesen, Embrecht see van Daalen, Edwin F. G.; et al., 92e:35098 

Gu, Zhu Quan New integrable systems and the mKdV hierarchy. 92m:58059 

Gubernatis, P. see Dean, Edward Jerome, 92i:65107 

Hammack, Joseph L. see Segur, Harvey; et al., 92c:76011 

(Hanna, Sarwat N.) see Newton, Paul K. 

Haupt, Sue Ellen (with Boyd, John Philip) Double cnoidal waves of the Korteweg-de Vries 
equation: a boundary value app h. 92¢:76013 

Hebda, Piotr W. see Anderson, Robert Leonard; et al., 92k:58077 

Hereman, Willy Exact solitary wave solutions of coupled nonlinear evolution equations 
using MACSYMA. 92a:35003 

Hirota, Ryogo see Ohta, Yasuhiro 

Hlavaty, Ladislav On the Painlevé classification of partial differential equations. 92d:35020 

Hodnett, P. F. see Moloney, T. P., 92d:35239 

Huang, Wen-Jui see Das, Ashok; et al., 92g:58046; 92j:58046 and 92m:58055 

Huang, Xun Cheng see Tu, Gui Zhang; et al., 92h:58094 

Hunter, John K. Interacting weakly nonlinear hyperbolic and dispersive waves. 92¢:35103 

Hyman, James M. see Newman, William I.; et al., (92a:65021) 

Ibragimov, N. Kh. see Baikov, V. A.; et al., 92m:58151 

IVichev, A. T. (with Seménov, A. Yu.) Orbital stability of boundary states in the theory of 
long waves with additional pressure. (Russian) 92k:35227 

Inami, Takeo (with Kanno, Hiroaki) Lie superalgebraic approach to super Toda lattice and 
generalized super KdV equations. 92f:58082 

Irac-Astaud, M. Perturbation around exact solutions for nonlinear dynamical systems: 
application to the perturbed Burgers equation. (French summary) 92b:35020 

Kajiwara, Kenji (with Satsuma, Junkichi) The conserved quantities and symmetries of the 
two-dimensional Toda lattice hierarchy. 92b:58093 

Kakutani, Tsunehiko see Yoshinaga, Takao; et al., 92k:35239 

Kanno, Hiroaki see Inami, Takeo, 92f:58082 

Kappeler, Thomas Fibration of the phase space for the Korteweg-de Vries equation. (French 
summary) 92k:58212 

Kaptsov, O. V. Integral symmetries and conservation laws. (Russian) 92f:35102 

Karakashian, Ohannes A. (with McKinney, William R.) On optimal high-order in time 
approximations for the Korteweg-de Vries equation. 92h:65172 

— see also Bona, Jerry L.; et al., (92h:35002) 

Kersten, Paul H. M. (with Gragert, Peter K. H.) Graded differential geometry in REDUCE 
3 and symmetries of super KdV equation. (see 92f:81008) 

— see also Gragert, Peter K. H., 92h:58003 





35Q Equations of mathematical physics and other areas of application 


35Q53 


Khabibullin, I. T. Integrable initial-boundary value problems. (Russian. English summary) 
92a:35146 

(Khalilov, F. A.) see Liu, Qing Ping, 92g:58052 

Kholod, P. I. (with Pakulyak, S. Z.) On the superextension of the Kadomtsev-Petviashvili 
equation and finite-gap solutions of Korteweg-de Vries superequations. 92b:58094 

Khristov, E. Kh. see Zhidkov, E. P., 92i:58145 

(Khruslov, E. Ya.) see Liu, Qing Ping, 92g:58052 

Kipnis, Claude see Ferrari, Pablo Augusto; et al., 92b:60099 

Kiso, Kazuhiro On the relation between certain evolution equations defined by Lax 
equations. 92b:58096 

Kitaev, A. V. Quadratic transformations for the sixth Painlevé equation. 924:34014 

Kivshar, Yu. S. see Zhang, Fei; et al., 92h:82130 

Kodama, Yuji Solutions of the dispersionless Toda equation. 92b:58097 

Konopel’chenko, B. G. (with Strampp, Walter) On the structure and properties of the 
singularity manifold equations of the KP hierarchy. 92b:58098 

— (with Rogers, Colin) On (2 + 1)-dimensional nonlinear systems of Loewner-type. 
92k:58115 

Kreiss, Gunilla Convergence to steady state of solutions of viscous conservation laws. 
92g:35134 

ten Kroode, Fons (with van de Leur, Johan) Representations of the infinite matrix algebra. 
92b:17033 

Kudashev, V. R. (with Sharapov, S. E.) Inheritance of symmetries in the Whitham 
averaging of the Korteweg-de Vries equation, and hydrodynamic symmetries of the 
Whitham equations. (Russian. English summary) 92e:35135 

Kudryashov, N. A. see Alekseev, A. A., 92h:35101 

Kuksin, S. B. see Bobenko, A. I., 92m:58052 

Kumei, S. see Bluman, George, 92e:35015 and 92¢:35016 

Labelle, P. (with Mathieu, Pierre) A new N = 2 supersymmetric Korteweg-de Vries 
equation. 92b:58099 

Lambert, F. (with Willox, R.) Towards an extension of the Sawada Kotera hierarchy. 
92b:58101 

Lax, Peter D. The zero dispersion limit, a deterministic analogue of turbulence. 92j:35151 

Lebedev, D. R. (with Orlov, A. Yu.; Pakulyak, S. Z.; Zabrodin, A.) Nonlocal integrable 
equations as reductions of the Toda hierarchy. 92k:58119 

Leon, Jéréme Jp. see Boiti, M.; et al., 92b:35129 and Pempinelli, F.; et al., 92g:58114 

van de Leur, Johan see ten Kroode, Fons, 92b:17033 

Levi, D. Integrable systems and water waves. An example of symmetry analysis applied to a 
physical problem. 924:58183 

Li, Guang Ye A pseudospectral method for a class of systems of equations of the interaction 
of a complex Schrédinger field and a real Klein-Gordon field. (Chinese. English summary) 
92b:65102 

Li, Luen Chau see Deift, Percy; et al., 92a:58062 

Li, YiShen see Chen, Deng Yuan; et al., 92e:58194; Cheng, Yi' , 92k:35266 and 92k:58105 

Lin, Yuan Qu see Zhuang, Da Wei, 92e:58105 

Lipovskii, V.D. (with Shirokov, A. V.) The 2 + 1 Toda lattice. Il. Hamiltonian formalism. 
(Russian. English summary) 924:58080 

Lisy, V. see Fedyanin, V. K., (92i:58002) 

Liu, Qi Ming Transformation for the solutions of the two-dimensional Toda lattice. 
92h:58180 

— Explicit /-reduced hierarchy of the KP hierarchy. 92¢:58096 

Liu, Qing Ping (with Athorne, Chris) Comment on: “Matrix generalisation of the modified 
Korteweg-de Vries equation” [Inverse Problems 6 (1990), no. 2, 193-204; MR 91d:58093] 
by F. A. Khalilov and E. Ya. Khruslov. 92g:58052 

Lomdahl, P.S. see Christiansen, P. L.; et al., 92d:92023 

Lou, Sen Yue (with Ruan, Hang Yu; Chen, De Fang; Chen, Wei Zhong) Similarity 
reductions of the KP equation by a direct method. 92h:58086 

— see also Chen, De Fang; et al., 92g:35189 

Malomed, B. A. Perturbative analysis of the interaction of a g* kink with inhomogeneities. 
92k:82076 

— see also Zhang, Fei; et al., 92h:82130 

Marchenko, V. A. The Cauchy problem for the KdV equation with nondecreasing initial 
data. 924:34156 

Maritz, M. F. (with Schoombie, S. W.) Exact analysis of nonlinear instability in a discrete 
Burgers’ equation. 92i:65142 

Marshall, Ian A Lie algebraic setting for Miura maps related to an energy dependent linear 
problem. 92e:58097 

Martina, L. see Pempinelli, F.; et al., 92g:58114 

Martinez Alonso, L. (with Medina Reus, E.; Olmedilla, Eugenio) Breathers in 2 + | 
dimensions. 92g:58053 

Martinov, Nikolai Konstantinov (with Vitanov, N.) On the correspondence between the 
self-consistent 2D Poisson-Boltzmann structures and the sine-Gordon waves. 92j:82053 

Masuda, Mitsuhiro see Yoshinaga, Takao; et al., 92k:35239 

Mathieu, Pierre Extended Virasoro algebras and the second Hamiltonian structure of scalar 
Lax equations. (see 92f:81008) 

— N = 1,2 supersymmetric Korteweg-de Vries equations. 92f:58085 

— see also Labelle, P., 92b:58099 

McGrath, Joseph F. see Wineberg, Stephen B.; et al., 92k:65139 

McKinney, William R. see Karakashian, Ohannes A., 92h:65172 and Bona, Jerry L.; et al., 
(92h:35002) 

Medina Reus, E. see Martinez Alonso, L.; et al., 92g:58053 

Meinhold, Peter Uber Solitonenlésungen der Korteweg-de Vries-Gleichung. [On soliton 
solutions of the Korteweg-de Vries equation] 92f:35124 

Melkonian, S. (with Winternitz, Pavel) Symmetry properties and solutions of nonlinear 
dispersive thin-film equations in three dimensions. 92i:76019 

Moloney, T. P. (with Hodnett, P. F.) Note on the structure of a three-soliton solution of the 
Korteweg-de Vries equation. 924:35239 

Montano, David (with Rivlis, Gil) Solving (1,q) KdV gravity. 92g:81181 

Motai, Takahiro Asymptotic behavior of solutions to the Klein-Gordon equation with a 
nonlinear dissipative term. 92d:35049 

Musette, M. Painlevé-Darboux transformation in nonlinear PDEs. (see 92a:00040) 





35Q53 


— Painlevé analysis for integrable and nonintegrable P.D.E.s. 92k:58247 

Muto, V. see Christiansen, P. L.; et al., 924:92023 

Nakata, Isamu The modified Korteweg-de Vries equations for planar ferro- and isotropic 
antiferromagnets. 92j:82069 

Nam, Soonkeon see Casahorran, Javier, 92f:81088 

Narasimhan, R. see Achuthan, P.; et al., 92k:35233 

Newell, Alan C. see Flaschka, Hermann; et al., 92i:58074 

Newman, William I. (with Campbell, David K.; Hyman, James M.) Identification and 
determination of solitary wave structures in nonlinear wave propagation. (see 92a:65021) 

Newton, Paul K. Letter: “Stability of periodic plane wave solutions of wave equations” [J. 
Comput. Appl. Math. 34 (1991), no. 1, 41-46; MR 91k:35024] by S. N. Hanna. 

Ni, Guang Jiong (with Xu, Dao Hua; Yang, Ji Feng; Chen, Su Qing) Soliton mass and 
discrete coupling constants in the quantized sine-Gordon model. 92j:81295 

Nijhoff, Frank see Capel, H. W.; et al., 92:58077 

Nimmo, J. J.C. Hirota’s method. (see 92f:58090) 

— see also Freeman, N. C.; et al., 92¢:58045 

Nozaki, Kazuhiro see Yamada, Hiroyasu, 92d:35284 

Nucci, M. C. see Calogero, F., 92¢:58043 

Oecvel, Walter see Strampp, Walter, 92b:58108 

Ohta, Yasuhiro (with Hirota, Ryogo) A discrete KdV equation and its Casorati determinant 
solution. 

Olmedilla, Eugenio see Martinez Alonso, L.; et al., 92g:58053 

Orlov, A. Yu. see Lebedev, D. R.; et al., 92k:58119 and Grinevich, P. G., (92i:58002) 

Osborne, A. R. (with Segre, E.) Numerical construction of nonlinear wave train solutions of 
the periodic Korteweg-de Vries equation. (see 92a:00040) 

Pakulyak, S. Z. see Kholod, P. I., 92b:58094 and Lebedev, D. R.; et al., 92k:58119 

Panda, Sudhakar see Das, Ashok; et al., 92m:58055 

Papageorgiou, V.G. see Capel, H. W.; et al., 92f:58077 

Pavlov, M. V. see Ferapontov, E. V., 92h:58084 

Pempinelli, F. Solitons and spectral transform for the Kadomtsev-Petviashvili equation. 
92b:35131 

— (with Boiti, M.; Leon, Jéréme Jp.; Martina, L.) Backlund transformations and localized 
solitons in multidimensions. 92g:58114 

— see also Boiti, M.; et al., 92b:35129 

Petrich, Dean M. see Goldstein, Raymond E., 92g:58050 

Pickering, Andrew see Fordy, Allan P., 92k:58108 

Popov, A. G. A geometric approach to the interpretation of solutions of the sine-Gordon 
equation. (Russian) 92i:82008 

Qian, Min (with Xu, Ping) Coherent states, inverse mapping formula for Weyl transforma- 
tions and application to equations of KdV type. 92b:58104 

Rabelo, Mauro L. (with Tenenblat, Keti) A classification of pseudospherical surface 
equations of type u; = Uxx. + G(u,uUx,Uxx). 92m:58068 

Radul, A.O. Two series of Hamiltonian structures for a hierarchy of Kadomtsev- 
Petviashvili equations. (Russian) 92b:58105 

Ragnisco, O. (with Santini, P.M.) A unified algebraic approach to integral and discrete 
evolution equations. 92b:58106 

Rangarajan, R. see Achuthan, P.; et al., 92k:35233 

Reinisch, G. (with Fernandez, J.-C.) The Josephson fluxon mechanics. (see 92d:58004) 

Rideau, Guy see Anderson, Robert Leonard; et al., 92k:58077 

Rivlis, Gil see Montano, David, 92g:81181 

Rogers, Colin see Konopel’chenko, B. G., 92k:58115 

Roy, Shibaji see Das, Ashok, 92e:58088; 92g:58046; 92i:58073 and 92j:58046 

Ruan, Hang Yu see Lou, Sen Yue; et al., 92h:58086 

Rubel, Lee A. Closed-form solutions of some partial differential equations via quasi- 
solutions. I. 92h:35032 

Russell, David L. Computational study of the Korteweg-de Vries equation with localized 
control action. 92¢:65113 

Saada, Ellen see Ferrari, Pablo Augusto; et al., 92b:60099 

Sachs, Robert L. On the existence of small amplitude solitary waves with strong surface 
tension. 92a:76018 

Sakovich, S. Yu. On special Backlund autotransformations. 92a:58127 

— Fujimoto-Watanabe equations and differential substitutions. 92¢:58137 

Sanchez, Angel (with Vazquez, Luis) Stationary stochastic configurations of the sine- 
Gordon system under spatial white noise. (see 92d:58004) 

Santini, P.M. Algebraic properties and symmetries of integrable evolution equations. 
92g:58057 

— see also Ragnisco, O., 92b:58106 

Satsuma, Junkichi see Kajiwara, Kenji, 92b:58093 

Savel’ev, M. V. On specializing the Brockett equation for nonabelian versions of the 
generalized Toda lattices. 92k:58125 

Scarpellini, Bruno Center manifolds of infinite dimensions. I. Main results and applications. 
92i:58170 

— Center manifolds of infinite dimensions. II. Proofs of the main results. 92i:58171 

Scheffner, Norman W. see Segur, Harvey; et al., 92c:76011 

Schoombie, S. W. see Maritz, M. F., 92i:65142 

Schwarz, Martin, Jr. Commuting flows and invariant tori: Korteweg-de Vries. 92k:58127 

Scott, L. Ridgway see Wineberg, Stephen B.; et al., 92k:65139 

Segal, Graeme B. The geometry of the KdV equation. 92e:58102 

Segre, E. see Osborne, A. R., (92a:00040) 

Segur, Harvey (with Hammack, Joseph L.; Scheffner, Norman W.) The Kadomtsev- 
Petviashvili equation and water waves. 92c:76011 

Seménov, A. Yu. see Il/ichev, A. T., 92k:35227 

Sharapov, S. E. see Kudashev, V. R., 92e:35135 

Sharipov, R. A. Minimal tori in a five-dimensional sphere in C3. (Russian. English 
summary) 92k:53118 

Shirokov, A. Y. see Lipovskii, V. D., 92d:58080 

Smiley, Michael W. Complex-valued time-periodic solutions and breathers of nonlinear 
wave equations. 92b:35099 

Smirnov, A.O. Real elliptic solutions of the sine-Gordon equation. (Russian) 92g:14046 

Sobczyk, Kazimierz see Bellomo, N.; et al., 92m:35284 


PARTIAL DIFFERENTIAL EQUATIONS 


Southwell, Charles E. see Wineberg, Stephen B.; et al., 92k:65139 

Strampp, Walter (with Oevel, Walter) Recursion operators and Hamiltonian structures in 
Sato’s theory. 92b:58108 

— see also Konopelchenko, B. G., 92b:58098 

Sugimoto, N. Burgers equation with a fractional derivative; hereditary effects on nonlinear 
acoustic waves. 92c:76063 

Sung, Li-Yeng (with Fokas, Athanassios S.) Inverse problem for N x N hyperbolic systems 
on the plane and the N-wave interactions. 924:34157 

Suris, Yu. B. Generalized Toda chains in discrete time. (Russian) 92g:58058 

Svinolupov, S. I. Jordan algebras and generalized Korteweg-de Vries equations. (Russian. 
English summary) 92k:58129 

Tabor, M. see Flaschka, Hermann; et al., 92i:58074 

Taimanov, I. A. Prym varieties of branched coverings, and nonlinear equations. (Russian) 
92a:14026 

Tarasov, V.O. The integrable initial-boundary value problem on a semiline: nonlinear 
Schrédinger and sine-Gordon equations. 92f:35133 

Temple-Raston, M. see Brio, M., 92i:65152 

Tenenblat, Keti Multidimensional equations and differential geometry. 92e:35018 

— see also Rabelo, Mauro L., 92m:58068 

Tomei, Carlos see Deift, Percy; et al., 92a:58062 

Tu, Gui Zhang (with Andrushkiw, R. I.; Huang, Xun Cheng) A trace identity and its 
application to integrable systems of 1 + 2 dimensions. 92h:58094 

Turetaev, I. D. A linear finite-difference scheme for the Bona-Smith and the Burgers- 
Korteweg-de Vries equations. (Russian. Kazakh summary) 92c:65157 

— A linear finite-difference scheme for the Korteweg-de Vries equation. (Russian. English 
and Kazakh summaries) 

Tychinin, V. A. Nonlinear equations associated with the Euler-Ampére transformation with 
Korteweg-de Vries equations, their exact solutions and nonlocal symmetries. (Russian) 
(see 92d:00021) 

Varley, Robert see Adams, Malcolm R.; et al., 92i:58069 

Vazquez, Luis see Fei, Zhang, 92e:65122; Zhang, Fei; et al., 92h:82130 and Sanchez, Angel, 
(92d:58004) 

Villarroel, Javier see Ablowitz, Mark J., 92b:58080 

Vitanov, N. see Martinov, Nikolai Konstantinov, 92j:82053 

Weiss, John Backlund transformations and the Painlevé property. 924:58191 

Wen, Shih Liang see Wu, Daxin, 92k:35021 

Willox, R. see Lambert, F., 92b:58101 

Wineberg, Stephen B. (with McGrath, Joseph F.; Gabl, Edward F.; Scott, L. Ridgway; 
Southwell, Charles E.) Implicit spectral methods for wave propagation problems. 
92k:65139 

Winternitz, Pavel see Melkonian, S., 92i:76019 

Wospakrik, Hans J. A direct heat kernel method for generating the conserved quantities of 
the ZS-AKNS system. 924:58092 

Wa, Daxin (with Wen, Shih Liang) Existence and uniqueness of a periodic solution to the 
two-dimensional generalized Korteweg-de Vries equation. 92k:35021 

Xie, Han Guang Deformation of structure and spectrum of evolution equations. (Chinese. 
English summary) 92k:58213 

Xie, Wenzheng A sharp pointwise bound for functions with L?-Laplacians on arbitrary 
domains and its applications. 92h:26029 

Xu, Dao Hua see Ni, Guang Jiong; et al., 92j:81295 

Xu, Ping see Qian, Min; et al., 92b:58104 

Yamada, Hiroyasu (with Nozaki, Kazuhiro) Interaction of pulses in dissipative systems. 
FitzHugh-Nagumo equations. 92d:35284 

Yamilov, R. 1. Invertible substitutions of variables generated by Backlund transformations. 
(Russian. English summary) 92e:58196 

Yang, Ji Feng see Ni, Guang Jiong; et al., 92j:81295 

Yang, Shu Feng see Zhang, Fa Yong; et al. 

Yoneyama, Tohru Interacting soliton equations and a new way to obtain soliton solution— 
KdV case. (see 92d:58003) 

Yoshinaga, Takao (with Masuda, Mitsuhiro; Kakutani, Tsunehiko) Trapping of KdV 
solitons in sinusoidally nonuniform media with weak dissipation. 92k:35239 

Zabrodin, A. see Lebedev, D. R.; et al., 92k:58119 

Zeng, Yun Bo The constraint on potential and decomposition for (2 + 1)-dimensional 
integrable systems. 92k:58131 

— An approach to the deduction of the finite-dimensional integrability from the infinite- 
dimensional integrability. 92k:58132 

Zhang, Fa Yong (with Yang, Shu Feng) The Chebyshev pseudospectral method for higher- 
dimensional generalized Burgers equations. (Chinese. English summary) 

Zhang, Fei (with Kivshar, Yu. S.; Malomed, B. A.; Vazquez, Luis) Kink capture by a local 
impurity in the sine-Gordon model. 92h:82130 

Zheng, Yu Kun see Chan, Wai Leung, 92a:58125 

Zhidkov, E. P. (with Khristov, E. Kh.) Spectral problems of mathematical physics related 
to nonlinear equations of the KdV type. (Russian. English summary) 92i:58145 

Zhou, Xin see Deift, Percy, 92g:35171 

Zhou, Zi Xiang Determination of nondegenerate Darboux operators of first order in 1 + 2 
dimensions. 92¢:58138 

Zhu, Guo Cheng see Chen, Deng Yuan; et al., 92e:58194 

Zhuang, Da Wei (with Lin, Yuan Qu) Nonlinearization of the Lax pair for the KdV 
equation and integrable Hamiltonian systems. 92¢:58105 

Zou, Feng Wu (with Chen, Min) Influence of finite deformations and viscoelastic damping 
on longitudinal strain solitary waves. (Chinese. English summary) 92g:73034 


35Q55 NLS-like (nonlinear Schrodinger) equations 
[see also 58F07] 


Ablowitz, Mark J. (with Herbst, B. M.) On homoclinic boundaries in the nonlinear 
Schrédinger equation. 924:35265 
Akhromeeva, T.S. (with Malinetskii, G. G.; Potapov, A. B.; Tsertsvadze, G. Z.) Periodic 


and symmetric solutions of the Kuramoto-Tsuzuki equation. (Russian. English summary) 
92m:35246 





631 1992 


— (with Malinetskii, G. G.; Potapov, A. B.; Tsertsvadze, G. Z.) New properties of 
quasiperiodic solutions of the Kuramoto-Tsuzuki equation. (Russian) 92m:35247 

Barannik, A. F. (with Marchenko, V. A.; Fushchich, V. 1.) Reduction and exact solutions 
of nonlinear multidimensional Schrédinger equations. (Russian. English summary) 
92k:35253 

Barashenkov, I. V. (with Puzynin, I. V.; Zhanlav, T.; Boyadzhiev, Todor L.) Stability of the 
moving bubbles in the Bose condensate. 92j:35169 

Baumann, Gerd Integrability and chaos for two copropagating pulses in optical fibers. 
92d:35266 

— (with Gléckle, W. G.; Nonnenmacher, T. F.) Singular point analysis and integrals of 
motion for coupled nonlinear Schrédinger equations. 92¢:35152 

Bikbaev, R. F. Whitham restructuring and time asymptotics of the solution of a nonlinear 
Schrédinger equation with finite-gap behavior as x — too. (Russian) 92g:35198 

— (with Tarasov, V.O.) Initial-boundary value problem for the nonlinear Schrédinger 
equation. 924:35267 

Biktashev, V. N. Drift of a reverberator in an active medium under interaction with the 
boundaries. (Russian) (see 92d:00031) 

Blaha, R. see Laedke, E. W.; et al., 92m:35254 

Boiti, M. (with Leon, Jéréme Jp.; Pempinelli, F.) On the spectral theory of the Davey- 
Stewartson equation. 92b:35138 

— (with Leon, Jéréme Jp.; Pempinelli, F.; Pogrebkov, A. K.) Solitons and spectral transform 
for the DSI and KPI equations. 92j:35170 

Boutet de Monvel-Berthier, Anne-Marie Sur les fonctions harmoniques et holomorphes de 
classe H' et le probleme de Ginzburg-Landau en deux dimensions. [On harmonic and 
holomorphic functions of class H' and the Ginzburg-Landau problem in two dimensions] 
(see 92£:35007) 

Boyadzhiev, Todor L. see Barashenkov, I. V.; et al., 92j:35169 

Bu, Qiyue see Carroll, Robert Wayne, 92d:35268 

Can, Mehmet On the relation between nonlinear Schrédinger equation and Painlevé IV 
equation. 92a:35144 

Carroll, Robert Wayne (with Bu, Qiyue) Solution of the forced nonlinear Schrédinger 
(NLS) equation using PDE techniques. 924:35268 

Cazenave, Thierry (with Weissler, Fred B.) The structure of solutions to the pseudo- 
conformally invariant nonlinear Schrédinger equation. 92¢:35111 

Chen, Zong Yun (with Huang, Nian Ning; Liao, Guojun G.) A perturbation theory for the 
modified nonlinear Schrédinger equation with corrections. 92m:35248 

Chopik, V.I. Non-Lie reduction of the nonlinear Schrédinger equation. (Ukrainian. 
Russian summary) 92m:35249 

Colin, Thierry Sur une équation de Schrédinger non linéaire et non locale intervenant en 
physique des plasmas. (English summary) [On a nonlocal, nonlinear Schrodinger equation 
occurring in plasma physics] 92k:35254 

De, Mrityunjoy (with Roy Chowdhury, A.) Exact solutions, deformed integrable NLS 
equation and Riemann problem. 92m:35250 

Degasperis, A. The Davey-Stewartson 1 equation: a class of explicit solutions including the 
special case of the dromions. (see 92a:00040) 

Doelman, Arjen Finite-dimensional models of the Ginzburg-Landau equation. 92b:35139 

Doktorov, E. V. (with Prokopenya, I. N.) Soliton evolution in a gradient light conductor in 
the presence of perturbations. (Russian. English summary) 92e:35153 

Domarkas, A. L. (with Ivanauskas, Feliksas) Existence of solutions of a system of nonlinear 
Schrédinger equations. (Russian) 92¢:35154 

— Blow-up of solutions of a system of nonlinear Schrédinger equations. (Russian. English 
and Lithuanian summaries) 92m:35251 

Eickermann, Th. (with Spatschek, K.H.) The “IST” as a diagnostic tool for perturbed 
nonlinear Schrédinger systems. (see 92a:00040) 

Elizalde, E. On the solutions of a general class of nonlinear Schrédinger equations. 
92k:35255 

Fokas, Athanassios S. see Santini, P. M., 92d:35274 

Fraiman, G. M. see Smirnov, A. I., 92i:35117 

Fushchich, V.I. see Barannik, A. F.; et al., 92k:35253 

Gagnon, Langis (with Winternitz, Pavel) Exact solutions of the cubic-quintic nonlinear 
Schrédinger equation obtained by symmetry reduction. (see 92f:81008) 

— Quelques solutions exactes a la théorie d’auto-focalisation optique obtenues par la 
méthode de réduction par symétries. [Some exact solutions to the theory of optical self- 
focusing obtained via the method of reduction by symmetries] 92g:35199 

Gibbon, John D. Why the NLS equation is simultaneously a success, a mediocrity and a 
failure in the theory of nonlinear waves. (see 92f:58090) 

Gilson, C. R. (with Nimmo, J. J.C.) A direct method for dromion solutions of the Davey- 
Stewartson equations and their asymptotic properties. 92k:35256 

— Resonant behaviour in the Davey-Stewartson equation. 92k:35257 

Gléckle, W.G. see Baumann, Gerd; et al., 92e:35152 

Gémez-Gesteira, M. (with Pérez-Muifiuzuri, V.; Pérez-Villar, V.) An analytical-numerical 
technique for solving nonlinear differential equations in Fourier space. (Spanish 
summary) 92g:35200 

Gongalves Ribeiro, J. M. Instability of symmetric stationary states for some nonlinear 
Schrédinger equations with an external magnetic field. (French summary) 92i:35113 

— Finite time blow-up for some nonlinear Schrédinger equations with an external magnetic 
field. 92b:35140 

Guerch, Bouchaib (with Véron, Laurent) Local properties of stationary solutions of some 
nonlinear singular Schrédinger equations. 924:35269 

Guo, Bo Ling Global solutions to a class of three-dimensional nonlinear Schrédinger 
systems of equations with magnetic effects and their asymptotic properties. (Chinese. 
English summary) 92g:35201 

— (with Tan, Shao Bin) On smooth solutions to the initial value problem for the mixed 
nonlinear Schrédinger equations. 92i:35114 

Hai, Wen Hua General soliton solutions of an n-dimensional nonlinear Schrédinger 
equation. 92m:35252 

Hayashi, Nakao Global existence of small analytic solutions to nonlinear Schrédinger 
equations. 92d:35270 

Hennig, D. The discrete self-trapping equation and the Painlevé property. 92k:35258 

Herbst, B. M. see Ablowitz, Mark J., 92d:35265 


35Q Equations of mathematical physics and other areas of application 


35Q55 


Hernandez Heredero, R. see Martinez Alonso, L.; et al., 92b:35144 

Hirayama, Hiroyuki see Hirayama, Minoru; et al., 92m:35253 

Hirayama, Minoru (with Hirayama, Hiroyuki; Igai, Mitsuyoshi; Ishida, Jun) Nonconstant 
stable solutions of the Ginzburg-Landau equation in finite domains. 92m:35253 

Huang, Nian Ning (with Liao, Guojun G.) Soliton solutions of the nonlinear Schrédinger 
equation and locations of poles of the transmission coefficient. 92a:35145 

— see also Liu, Zhong Zhu; et al., 92b:35143 and Chen, Zong Yun; et al., 92m:35248 

Igai, Mitsuyoshi see Hirayama, Minoru; et al., 92m:35253 

lizuka, Takeshi (with Wadati, Miki; Yajima, Tetsu) The unstable nonlinear Schrédinger 
equation and dark solitons. 92k:35259 

Ishida, Jun see Hirayama, Minoru; et al., 92m:35253 

Ivanauskas, Feliksas see Domarkas, A. L., 92e:35154 

Kai, Shoichi see Tribel’skii, M. 1.; et al., 92j:35174 

Khabibullin, I. T. Integrable initial-boundary value problems. (Russian. English summary) 
92a:35146 

Kotlyarov, V. P. The effect of a doubly continuous spectrum of the Dirac operator on 
asymptotic solitons of the nonlinear Schrédinger equation. (Russian) 92d:35271 

Kurata, Kazuhiro (with Ogawa, Takayoshi) Remarks on blowing-up of solutions for some 
nonlinear Schrédinger equations. 92i:35115 

Kuznetsov, Evgenii Alekseevich see Laedke, E. W.; et al., 92m:35254 

Laedke, E. W. (with Blaha, R.; Spatschek, K. H.; Kuznetsov, Evgenii Alekseevich) On the 
stability of collapse in the critical case. 92m:35254 

Latifi, A. (with Leon, Jéréme Jp.) An integrable model for small amplitude nonlinear 
coupled waves produced during laser-plasma interaction. 92b:35141 

Leo, R. A. (with Martina, L.; Soliani, Giulio) Gauge equivalence theory of the noncompact 
Ishimori model and the Davey-Stewartson equation. 92j:35171 

Leon, Jéréme Jp. see Boiti, M.; et al., 92b:35138; Latifi, A., 92b:35141 and Boiti, M.; et al., 
92j:35170 

Li, Wei Jiang A numerical study on discrete heterogeneous nonlinear Schrédinger 
equations. (Chinese. English summary) 92b:35142 

Liao, Guojun G. see Huang, Nian Ning, 92a:35145 and Chen, Zong Yun; et al., 92m:35248 

Liu, Yue Asymptotic behavior of solutions of Schrédinger equations. (Chinese) 92¢:35155 

Liu, Zhong Zhu (with Huang, Nian Ning) The direct method of Hirota for finding soliton 
solutions to a generalized nonlinear Schrédinger equation with higher-order corrections. 
(Chinese. English summary) 92b:35143 

Luo, Ya Ping see Zhang, Qin; et al., 92m:35256 

Makhan‘kov, V.G. (with Slavov, S. I.) Breather type solutions of the vector nonlinear 
Schrédinger equation with quasi-constant boundary conditions. (see 92i:58002) 

Malinetskii, G.G. see Akhromeeva, T. S.; et al., 92m:35246 and 92m:35247 

Malomed, B. A. (with Stenfio, L.) Modulational instabilities and soliton solutions of a 
generalized nonlinear Schrédinger equation. 92i:35116 

Manganaro, N. Similarity reduction of the nonlinear Schrédinger equation with variable 
coefficients. (see 92k:35002) 

Marchenko, V. A. see Barannik, A. F.; et al., 92k:35253 

Martina, L. see Leo, R. A.; et al., 92j:35171 

Martinez Alonso, L. (with Medina Reus, E.; Hernandez Heredero, R.) Multidimensional 
localized coherent structures in the bilinear formalism of integrable systems. 92b:35144 

— (with Medina Reus, E.) Exotic coherent structures in the Davey-Stewartson equation. 
92k:35260 

Medina Reus, E. see Martinez Alonso, L.; et al., 92b:35144 and 92k:35260 

Melnikov, V. K. Integration of the nonlinear Schroedinger equation with a self-consistent 
source. 92b:35145 

— Integration of the nonlinear Schrédinger equation with a source. 92k:35261 

Mertsching, J. On the modulation instability of nonlinear Schrodinger equations. 
92d:35272 

Muratbekov, M. B. Separability and estimates for the widths of sets connected with the 
domain of a nonlinear operator of Schrédinger type. (Russian) 92g:35202 

Naumkin, P. I. (with Shishmarév, I. A.) Asymptotic behavior as t — oo of solutions of a 
nonlinear nonlocal Schrédinger equation. (Russian) 92h:35216 

Newman, D. L. see Robinson, P. A., 92h:35217 

Nimmo, J. J.C. see Gilson, C. R., 92k:35256 

Nonnenmacher, T. F. see Baumann, Gerd; et al., 92e:35152 

Ogawa, Takayoshi (with Tsutsumi, Yoshio) Blow-up of solutions for the nonlinear 
Schrédinger equation with quartic potential and periodic boundary condition. 92e:35156 

— (with Tsutsumi, Yoshio) Blow-up of H' solution for the nonlinear Schrédinger equation. 
92k:35262 

— (with Ozawa, Tohru) Trudinger type inequalities and uniqueness of weak solutions for 
the nonlinear Schrédinger mixed problem. 92a:35147 

— see also Kurata, Kazuhiro, 92i:35115 

Oh, Yong-Geun On positive multi-lump bound states of nonlinear Schrédinger equations 
under multiple well potential. 92a:35148 

Otwinowski, M. (with Paul, Reginald; Tuszynski, J. A.) Nonhomogeneous three- 
dimensional structures described by the nonlinear Klein-Gordon equation. 924:35273 

Ozawa, Tohru Long range scattering for nonlinear Schrédinger equations in one space 
dimension. 92j:35172 

— (with Tsutsumi, Yoshio) The nonlinear Schrédinger limit and the initial layer of the 
Zakharov equations. 

— see also Ogawa, Takayoshi, 92a:35147 

Pan, Tao (with Qian, Min) Conditionally periodic solutions to nonlinear Schrodinger 
equations—inverse spectral problem of Dirac operators. 92a:35149 

Paul, Reginald see Otwinowski, M.; et al., 92d:35273 

Pempinelli, F. see Boiti, M.; et al., 92b:35138 and 92j:35170 

Pérez-Munuzuri, V. see Gémez-Gesteira, M.; et al., 92g:35200 

Pérez-Villar, V. see Gémez-Gesteira, M.; et al., 92g:35200 

Petrukhnovskii, S. I. An existence theorem for some nonlinear nonlocal Schroedinger 
operators and the soliton-like solutions for the corresponding dynamic systems. (see 
92c:00015) 

Pogrebkov, A. K. see Boiti, M.; et al., 92j:35170 

Porsezian, K. Backlund transformations and explicit solutions of certain inhomogeneous 
nonlinear Schrédinger-type equations. 92f:35132 





35Q55 


Potapov, A. B. see Akhromeeva, T. S.; et al., 92m:35246 and 92m:35247 

Potasek, M. J. (with Tabor, M.) Exact solutions for an extended nonlinear Schrédinger 
equation. 92a:35150 

— see also Tasgal, R. S., 92j:35173 

Prokopenya, I. N. see Doktorov, E. V., 92e:35153 

Promislow, Keith (with Temam, Roger) Approximate interaction laws for small and large 
waves in the Ginzburg-Landau equation. 92e:35157 

Puzynin, I. V. see Barashenkov, I. V.; et al., 92j:35169 

Qian, Min see Pan, Tao; et al., 92a:35149 

Robinson, P. A. (with Newman, D. L.) Scaling behavior of the vector nonlinear Schrédinger 
and Zakharov equations with driving and dissipation. 92h:35217 

Roy Chowdhury, A. see De, Mrityunjoy, 92m:35250 

Sakaguchi, Hidetsugu Instability of the hole solution in the complex Ginzburg-Landau 
equation. 92b:35146 

Santini, P.M. (with Fokas, Athanassios S.) Dromions, a new manifestation in nonlinear 
phenomena. 924:35274 

Shishmarév, I. A. see Naumkin, P. I., 92h:35216 

Slavov, S. I. see Makhan’kov, V. G., (92i:58002) 

Smirnov, A. I. (with Fraiman, G.M.) The interaction representation in the self-focusing 
theory. 92i:35117 

Soliani, Giulio see Leo, R. A.; et al., 92j:35171 

Song, Min Existence of a global solution to a nonlinear system of Schrodinger equations. 
(Chinese. English summary) 92h:35218 

— Initial value problems for a class of nonlinear systems of Schrédinger equations. (Chinese. 
English summary) 92m:35255 

Spatschek, K.H. see Laedke, E. W.; et al., 92m:35254 and Eickermann, Th., (92a:00040) 

Stenflo, L. see Malomed, B. A., 92i:35116 

Stubbe, Joachim Global solutions and stable ground states of nonlinear Schrédinger 
equations. 92b:35147 

Suleimanov, B. I. The second Painlevé equation in a problem on nonlinear effects near 
caustics. (Russian. English summary) 924:35275 

Tabor, M. see Potasek, M. J., 92a:35150 

Talanov, V.1. see Viasov, S. N., (92d:00031) 

Tan, Shao Bin see Guo, Bo Ling, 92i:35114 

Tarasov, V.O. The integrable initial-boundary value problem on a semiline: nonlinear 
Schrédinger and sine-Gordon equations. 92f:35133 

— see also Bikbaev, R. F., 924:35267 

Tasgal, R.S. (with Potasek, M. J.) Soliton solutions to coupled higher-order nonlinear 
Schrédinger equations. 92j:35173 

Temam, Roger see Promislow, Keith, 92e:35157 

Tribel’skii, M. 1. (with Kai, Shoichi; Yamazaki, Hideki) Transitions between different 
stable states in one-dimensional Ginzburg-Landau equation. 92j:35174 

Tsertsvadze, G. Z. see Akhromeeva, T. S.; et al., 92m:35246 and 92m:35247 

Tsutsumi, Masayoshi On global solutions to the initial-boundary value problem for the 
nonlinear Schrédinger equations in exterior domains. 92j:35175 

Tsutsumi, Yoshio see Ogawa, Takayoshi, 92e:35156; 92k:35262 and Ozawa, Tohru 

Tuszyriski, J. A. see Otwinowski, M.; et al., 924:35273 

Véron, Laurent see Guerch, Bouchaib, 92d:35269 

Vlasov, S.N. (with Talanov, V.I.) Distributed wave collapse in a model of the nonlinear 
Schrédinger equation. (Russian) (see 92d:00031) 

Wadati, Miki see lizuka, Takeshi; et al., 92k:35259 

Weinstein, Michael I. On the vortex solutions of some nonlinear scalar field equations. 
92k:35263 

Weissler, Fred B. see Cazenave, Thierry, 92c:35111 

Winternitz, Pavel see Gagnon, Langis, (92f:81008) 

Yajima, Tetsu see lizuka, Takeshi; et al., 92k:35259 

Yamazaki, Hideki see Tribel’skii, M. 1.; et al., 92j:35174 

Zhang, Qin (with Luo, Ya Ping) The blow-up phenomenon for solutions to nonlinear 
systems of equations of Schrédinger type. (Chinese. English summary) 92m:35256 

Zhanlavy, T. see Barashenkov, I. V.; et al., 92j:35169 

Zhidkov, P. E. An invariant measure for the nonlinear Schrédinger equation. (Russian) 
92g:35203 


Items with secondary classifications in 35Q55 


Abdalla, E. (with de Castro, A. S. M.; Lima Santos, A.) A relation between the massive 
Thirring model and the Grassmann valued nonlinear Schrédinger equation. 92m:81149 

Abdullaev, F. Kh. (with Darmanyan, S. A.; Dzhumaev, M. R.) Stochastic parametric 
resonance of solitons. 92j:35157 

Ablowitz, Mark J. (with Villarroel, Javier) On the complete integrability of certain 
nonlinear evolution equations in one and two spatial dimensions. 92b:58080 

— (with Herbst, B. M.; Weideman, J. A. C.) Dynamics of semi-discretizations of the 
defocusing nonlinear Schrédinger equation. 92h:65160 

— see also Herbst, B. M., 92c:58139 and Villarroel, Javier, 92k:58130 

Adomian, George A. (with Rach, R. C.) Linear and nonlinear Schrédinger equations. 
92g:81027 

Akrivis, Georgios D. (with Dougalis, Vassilios A.; Karakashian, Ohannes A.) On fully 
discrete Galerkin methods of second-order temporal accuracy for the nonlinear 
Schrédinger equation. 92a:65256 

Alt, Hans Wilhelm (with Pawiow, Irena) A mathematical model and an existence theory for 
nonisothermal phase separation. 92f:35080 

Anders, I. A. (with Kotlyarov, V. P.) Characterization of scattering data for Schrodinger 
and Dirac operators. (Russian. English summary) 92m:34187 

Bakurov, V.G. Poisson brackets for two-dimensional systems that are integrable by the 
inverse scattering method. (Russian. English summary) 92g:58041 

Boiti, M. (with Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. K.) New features of 
Backlund and Darboux transformations in 2 + 1 dimensions. 92i:58167 

Borisov, A. B. Convergence of symmetric Crank-Nicolson type numerical methods for the 
nonlinear Schrédinger equation. 92i:65139 

Bronsard, Lia (with Kohn, Robert V.) Motion by mean curvature as the singular limit of 
Ginzburg-Landau dynamics. 924:35037 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 632 


Canoglu, Ahmet (with Giildogan, Bahri; Salihoglu, Selami) Nonlinear Schrodinger 
equations on super symmetric spaces related to Lie superalgebras A(m,n). 92j:58042 

de Castro, A.S. M. see Abdalla, E.; et al., 92m:81149 

Cheng, Yi! Integrable systems associated with the Schrédinger spectral problem in the 
plane. 92c:58044 

Darmanyan, S. A. see Abdullaev, F. Kh.; et al., 92j:35157 

Das, S. N. Two-wave hypothesis of matter and the sine-Gordon equation. 92d:81014 

David, Daniel (with Tratnik, M. V.) Polarization modulated solitary waves in an optical 
fiber. 92h:78004 

Davies, Brian Higher conservation laws for the quantum nonlinear Schrédinger equation. 
92b:81220 

Demengel, Francoise (with Ghidaglia, Jean-Michel) Inertial manifolds for partial 
differential evolution equations under time-discretization: existence, convergence, and 
applications. (French summary) 92¢:35079 

Dickey, L. A. Field theoretical (multi-time) Hamiltonian formalism and its application to 
integrable systems. 92h:58083 

Doliwa, Adam (with Sym, Antoni) On Kida class of vortex filament motions. 92h:76029 

Dougalis, Vassilios A. see Akrivis, Georgios D.; et al., 92a:65256 

Dzhumaev, M.R. see Abdullaev, F. Kh.; et al., 92j:35157 

Ercolani, Nicholas M. (with McLaughlin, David W.) Toward a topological classification of 
integrable PDEs. 92f:58135 

Freeman, N.C. (with Gilson, C. R.; Nimmo, J. J.C.) Two-component KP hierarchy and the 
classical Boussinesq equation. 92c:58045 

Gerdzhikov, V.S. Generating operators and Zy-reductions. (see 92i:58002) 

Ghidaglia, Jean-Michel see Demengel, Francoise, 92e:35079 

Gilson, C.R. see Freeman, N. C.; et al., 92c:58045 

Grossman, Bernard Hierarchy of soliton solutions to the gauged nonlinear Schrédinger 
equation on the plane. 92a:81113 

Giildogan, Bahri see Canoglu, Ahmet; et al., 92j:58042 

Hasegawa, Akira Optical solitons in fibers—a theoretical review. (see 92m:78001) 

Herbst, B. M. (with Ablowitz, Mark J.) On numerical chaos in the nonlinear Schrodinger 
equation. 92¢:58139 

— see also Ablowitz, Mark J.; et al., 92h:65160 

Hirata, Hitoshi The Cauchy problem for Hartree type Schrédinger equation in weighted 
Sobolev space. 92m:47152 

Hronek, Jaromir Two-component nonlinear Schrédinger equations with a self-consistent 
source. 92k:81229 

lizuka, Takeshi see Wadati, Miki; et al., 92h:82115 

Ivanauskas, Feliksas Difference schemes for nonlinear equations of Schrédinger type. 
(Russian) 92h:65136 

Jaulent, M. (with Martinez Alonso, L.) Multidimensional solitons in terms of fermions. 
(see 92a:00040) 

Kalyakin, L. A. The method of matching in a problem on long-wave modulation of 
nonlinear two-dimensional waves with dispersion. (Russian) 92a:35110 

Kapor, Darko V. (with Skrinjar, M.; Stojanovié, S.) Comment on: “Exact solutions for 
some coupled nonlinear equations. II” [J. Phys. A 23 (1990), no. 18, 4097-4105; MR 
91k:35050b] by H. B. Lan and K. L. Wang. 92m:35039 

Karakashian, Ohannes A. see Akrivis, Georgios D.; et al., 92:65256 

Kawahara, Takuji see Kishiba, Seigo; et al., 92j:58097 

Kenig, Carlos E. (with Ponce, Gustavo; Vega, Luis) Oscillatory integrals and regularity of 
dispersive equations. 924:35081 

Kishiba, Seigo (with Toh, Sadayoshi; Kawahara, Takuji) An estimation of energy spectra of 
the Ginzburg-Landau chaos. 92j:58097 

Klein, Rupert (with Majda, Andrew J.) Self-stretching of a perturbed vortex filament. I. The 
asymptotic equation for deviations from a straight line. 92d:76020 

— (with Majda, Andrew J.) Self-stretching of perturbed vortex filaments. II. Structure of 
solutions. 92m:76038 

Kohn, Robert V. see Bronsard, Lia, 924:35037 

Konopelchenko, B. G. (with Sidorenko, Yu. N.; Strampp, Walter) (1 + 1)-dimensional 
integrable systems as symmetry constraints of (2 + 1)-dimensional systems. 92k:58116 

Kotlyarov, V. P. see Anders, I. A., 92m:34187 

Lakshmanan, M. (with Porsezian, K.) Planar radially symmetric Heisenberg spin 
system and generalized nonlinear Schrédinger equation: gauge equivalence, Backlund 
transformations and explicit solutions. 92a:82024 

— see also Porsezian, K., 92m:82091 

(Lan, Hui Bin) see Kapor, Darko V.; et al., 92m:35039 

Langer, Joel (with Perline, Ron) Poisson geometry of the filament equation. 92k:58118 

Lee, Jong Eao Riemann surface theory in the nonlinear evolution equations. 92k:35236 

Lima Santos, A. see Abdalla, E.; et al., 92m:81149 

Liu, Xun Ming (with Zou, Feng Wu) Oscillatory solutions to equations of Schrédinger type. 
(Chinese. English summary) 92e:35025 

Majda, Andrew J. see Klein, Rupert, 92d:76020 and 92m:76038 

Malkin, V. M. (with Shapiro, E.G.) Elementary excitations for solitons of the nonlinear 
Schrédinger equation. 92h:35199 

Malomed, B. A. Bound solitons in the nonlinear Schrédinger-Ginzburg-Landau equation. 
921:82108 

Martinez Alonso, L. see Jaulent, M., (92a:00040) 

McLaughlin, David W. see Ercolani, Nicholas M., 92:58135 

Mikhailov, A.S. Intermittency of growth and solitons of the nonlinear Schrédinger 
equation. 924:35128 

Morris, J. L. see Pathria, D., 92k:65138 

van Niekerk, Frederik D. see Rosinger, Elemer E., (92k:65004) 

Nimmo, J. J.C. see Freeman, N. C.; et al., 92¢:58045 

Pathria, D. (with Morris, J. L.) A variable degree spectral collocation algorithm for the 
solution of nonlinear evolutionary equations. 92k:65138 

Pawiow, Irena see Alt, Hans Wilhelm, 92f:35080 

Pempinelli, F. see Boiti, M.; et al., 92i:58167 

Perline, Ron see Langer, Joel, 92k:58118 

Persheev, D. V. see Sukhorukov, A. P., 92m:35229 

Pogrebkov, A. K. see Boiti, M.; et al., 92i:58167 








633 1992 


Polivanov, M. K. see Boiti, M.; et al., 92i:58167 

Ponce, Gustavo see Kenig, Carlos E.; et al., 92d:35081 

Porsezian, K. (with Lakshmanan, M.) On the dynamics of the radially symmetric 
Heisenberg ferromagnetic spin system. 92m:82091 

— see also Lakshmanan, M., 92a:82024 

Promislow, Keith (with Temam, Roger) Localization and approximation of attractors for 
the Ginzburg-Landau equation. 92m:58121 

— Time analyticity and Gevrey regularity for solutions of a class of dissipative partial 
differential equations. 92h:35192 

Purkait, S. (with Roy Chowdhury, A.) On the Noetherian condition for implectic operators 
and bi-Hamiltonian structure. 92g:58055 

Rach, R.C. see Adomian, George A., 92g:81027 

Ricca, Renzo L. Intrinsic equations for the kinematics of a classical vortex string in higher 
dimensions. 92g:76026 

Rosinger, Elemer E. (with van Niekerk, Frederik D.) Discontinuous finite elements for the 
nonlinear Schrédinger equation. (see 92k:65004) 

Roy Chowdhury, A. (with Sen, Shibani) Excitation spectrum and quantum inverse problem 
for an alternative version of the nonlinear Schrédinger equation. 92b:81221 

— (with Sen, Shibani) On the Bethe ansatz approach to the quantum inverse problem for 
nonultralocal integrable systems. 92b:81030 

— see also Purkait, S., 92g:58055 

Rubinstein, Jacob Self-induced motion of line defects. 92c:73018 

Sakhnovich, L. A. Integrable nonlinear equations on the semi-axis. (Russian. Ukrainian 
summary) 92m:35240 

Salihoglu, Selmi see Canoglu, Ahmet; et al., 92j:58042 

Sasa, Narimasa (with Satsuma, Junkichi) New-type of soliton solutions for a higher-order 
nonlinear Schrédinger equation. 92h:35201 

Satsuma, Junkichi see Sasa, Narimasa, 92h:35201 

Sen, Shibani see Roy Chowdhury, A., 92b:81030 and 92b:81221 

Shapiro, E.G. see Malkin, V. M., 92h:35199 

Shen, Hui Chuan Application of inverse scattering method in vibration of sandwich plates 
with large deflection. 92m:73081 

Sidorenko, Yu. N. see Konopel’chenko, B. G.; et al., 92k:58116 

Skrinjar, M. see Kapor, Darko V.; et al., 92m:35039 

Steinriick, H. The one-dimensional Wigner-Poisson problem and its relation to the 
Schrédinger-Poisson problem. 92h:35094 

Stojanovi¢, S. see Kapor, Darko V.; et al., 92m:35039 

Strachan, I. A. B. Self-dual Yang-Mills fields and the nonlinear Schrédinger equation. 
92b:81118 

Strampp, Walter see Konopel'chenko, B. G.; et al., 92k:58116 

Sukhorukov, A. P. (with Persheev, D. V.) Envelope solitons in nonlinear coupled wave- 
guides. (Russian) 92m:35229 

Sym, Antoni see Doliwa, Adam, 92h:76029 

Takagi, Shin Electromagnetic steering of charged nonlinear Schrédinger solitons. 
92g:81035 

Temam, Roger see Promislow, Keith, 92m:58121 

Toh, Sadayoshi see Kishiba, Seigo; et al., 92j:58097 

Tourigny, Yves Optimal H' estimates for two time-discrete Galerkin approximations of a 
nonlinear Schrédinger equation. 92i:65172 

Tratnik, M. V. see David, Daniel, 92h:78004 

Uzunov, Ivan M. Comparison between the characters of the influence of nonlinear 
dispersion and intrapulse Raman scattering on stationary waves. 92i:81378 

Vega, Luis see Kenig, Carlos E.; et al., 92d:35081 

Villarroel, Javier (with Ablowitz, Mark J.) On the Hamiltonian formalism for the Davey- 
Stewartson system. 92k:58130 

— see also Ablowitz, Mark J., 92b:58080 

Wadati, Miki (with lizuka, Takeshi; Yajima, Tetsu) Soliton phenomena in unstable media. 
92h:82115 

(Wang, Ke Lin) see Kapor, Darko V.; et al., 92m:35039 

Weideman, J. A.C. see Ablowitz, Mark J.; et al., 92h:65160 

Xiang, Xin Min see Zhang, Fa Yong; et al., 92:65263 

Yagubov, G. Ya. A difference method for solving a problem of the optimal control of the 
coefficient of a quasilinear Schrédinger equation. (Russian) 92c:65115 

Yajima, Tetsu see Wadati, Miki; et al., 92h:82115 

Yamilov, R. I. Invertible substitutions of variables generated by Backlund transformations. 
(Russian. English summary) 92e:58196 

Yong, Wen An Explicit dissipative schemes for boundary problems of generalized 
Schrédinger systems. 92d:65220 

Zhang, Fa Yong (with Xiang, Xin Min) The pseudospectral method for a class of nonlinear 
systems of equations under long-short wave interactions. (Chinese. English summary) 
92a:65263 

— The Fourier pseudospectral method for a class of systems of nonselfadjoint nonlinear 
Schrédinger equations. (Chinese. English summary) 924:65221 

Zou, Feng Wu see Liu, Xun Ming; et al., 92e:35025 


35Q58 Other completely integrable equations [see also 58F07] 


Abd El-Rady, A. S. see El-Sherbiny, H. M.; et al. 

Abdel-Razek, M. A. see El-Sherbiny, H. M., 92k:35267 

Bloch, Anthony M. see Brockett, Roger W., 92c:35112 

Bogdanov, L. V. (with Zakharov, V. E.) Decreasing solutions and dispersion laws in a (2 + 
1)-dimensional dressing method. (Russian) 92k:35264 

Brockett, Roger W. (with Bloch, Anthony M.) Sorting with the dispersionless limit of the 
Toda lattice. 92¢:35112 

Calogero, F. C-integrable nonlinear partial differential equations in N + 1 dimensions. 
92m:35257 

— (with De Lillo, S.) The Eckhaus equation in an external potential. 92k:35265 

Chen, Deng Yuan see Zeng, Yun Bo; et al., 92k:35270 

Cheng, Yi! (with Li, Yi Shen) Constraints of the (2 + 1)-dimensional integrable soliton 
systems. 92k:35266 


35Q Equations of mathematical physics and other areas of application 


35Q58 


Conte, R. see Musette, M., 92k:35269 

Daniel, Muthiah (with Sahadevan, R.) Painlevé analysis and integrability of the evolution 
equation u; = Uxxx + U7Uxx + 3uuz + fu‘u,. 92d:35276 

Dasgupta, N. see Roy Chowdhury, A., 92h:35219 

De Lillo, S. see Calogero, F., 92k:35265 

El-Sherbiny, H. M. (with Abdel-Razek, M. A.) On the well-posedness of a dissipative RLW 
class of equations. (Arabic summary) 92k:35267 

— (with Abd El-Rady, A. S.; Abdel-Razek, M. A.) Solitary waves and Backlund transforma- 
tion of a class of nonlinear dispersive dissipative differential equations. (Arabic summary) 

Geng, Xian Guo A quintic Hamiltonian system that generates the reflectionless potential of 
the Jaulent-Miodek equation. (Chinese) 92d:35277 

Gerdt, V. P. (with Kostov, N. A.; Spasov, A. Ya.) Investigation of four wave interaction in 
g* theory using computer algebra methods. 92):35176 

— (with Kostov, N. A.; Zharkov, A. Yu.) Nonlinear evolution equations and solving 
algebraic systems: the importance of computer algebra. 92j:35177 

Ghose, Chandana see Roy Chowdhury, A., 92b:35150 

Grébert, B. (with Guillot, J.-C.) Gaps of one-dimensional periodic AKNS systems. (see 
92a:00040) 

Grimshaw, Roger H. J. (with Hooper, A. P.) The nonexistence of a certain class of 
travelling wave solutions of the Kuramoto-Sivashinsky equation. 924:35278 

Gu, Xin Shen Double Darboux transformation for AKNS hierarchy. 92i:35118 

Guillot, J.-C. see Grébert, B., (922:00040) 

Hooper, A. P. see Grimshaw, Roger H. J., 924:35278 

Kaup, D. J. see Rao, N. N., 92g:35204 

Konno, Kimiaki Conservation laws of modified Sawada-Kotera equation in complex plane. 
92k:35268 

Kostov, N. A. see Gerdt, V. P.; et al., 92j:35176 and 92j:35177 

Langer, Christian see Strampp, Walter, 92g:35205 

Leon, Jéréme Jp. Nonlinear evolutions, spectral transform and solitons in 3 + 1 dimensions. 
924:35279 

Li, Yi Shen see Cheng, Yi', 92k:35266 and Zeng, Yun Bo; et al., 92k:35270 

Ma, Wen Xiu The confocal involutive system and the integrability of the nonlinearized Lax 
systems for AKNS hierarchy. 92b:35148 

Mikhalév, V.G. Differential-geometric structures in the theory of two-dimensional 
integrable equa..ons. (Russian. English summary) 92b:35149 

Musette, M. (with Conte, R.) Algorithmic method for deriving Lax pairs from the invariant 
Painlevé analysis of nonlinear partial differential equations. 92k:35269 

Rao, N. N. (with Kaup, D. J.) A new class of exact solutions for coupled scalar field 
equations. 92g:35204 

Roy Chowdhury, A. (with Ghose, Chandana) On continual Lie algebra and a new class of 
integrable nonlinear equations. 92b:35150 

— (with Dasgupta, N.) Pseudo-differential operators, BKP equation and Weierstrass g(x) 
function. 92h:35219 

Sabatier, Pierre C. Spectral transform for nonlinear evolution equations with N space 
dimensions. 

Sahadevan, R. see Daniel, Muthiah, 924:35276 

Spasov, A. Ya. see Gerdt, V. P.; et al., 92j:35176 

Strampp, Walter (with Langer, Christian) The KP hierarchy and aspects of the Painlevé 
property. 92g:35205 

Zakharov, V. E. On the dressing method. 92d:35280 

— see also Bogdanov, L. V., 92k:35264 

Zeng, Yun Bo (with Li, Yi Shen; Chen, Deng Yuan) The hierarchy of completely integrable 
Hamiltonian systems associated with generalized Harry Dym hierarchy. (Chinese 
summary) 92k:35270 

— The generalized Neumann hierarchy associated with the energy dependent Schrédinger 
equation. 92m:35258 

Zharkov, A. Yu. see Gerdt, V. P.; et al., 92j:35177 


Items with secondary classifications in 35Q58 

Antonowicz, M. (with Fordy, Allan P.; Liu, Qing Ping) Energy-dependent third-order Lax 
operators. 92j:58040 

Beals, Richard (with Sattinger, D. H.) Complete integrability of “completely integrable” 
systems. 92k:58100 

— (with Sattinger, D. H.) On the complete integrability of completely integrable systems. 
92m:58051 

Berezkina, N.S. (with Martynov, I. P.) A system of partial differential equations. (Russian) 
92c:35033 

Bogoyavienskii, O.1. Algebraic constructions of integrable dynamical systems—extension 
of the Volterra system. (Russian) 92j:58041 

Calogero, F. Some ideals and results on integrable nonlinear evolution systems. 92g:58042 

— (with Ji, Xiao Da) C-integrable nonlinear partial differentiation equations. |. 92a:58060 

Capel, H. W. Integrable lattice equations and hierarchies. 92g:58043 

— Integrable lattice equations and hierarchies. (see 92i:58002) 

Carroll, Robert Wayne Some remarks on KP. 92j:58044 

Casahorran, Javier Solitary waves and polynomial potentials. 92b:81103 

Chen, Deng Yuan (with Zhu, Guo Cheng; Li, Yi Shen) New symmetries for a matrix 
evolution equation of AKNS type and its Lie algebra. (Chinese) 92c:58135 

Cheng, Yi! (2 + 1)-dimensional integrable hierarchies, Lax operators and relevant algebraic 
structures. 92g:58044 

— see also Li, Yi Shen; et al., 92b:58102 

Clarkson, Peter A. see Kruskal, Martin D., 92k:35245 

Conte, R. Painlevé singular manifold equation and integrability. 92d:58076 

Craik, A.D. D. see McDougall, S. R., 92a:76014 

Dubrovin, B. A. Weakly deformed soliton lattices. 92k:58106 

Eckmann, Jean-Pierre (with Wayne, C. E.) Propagating fronts and the center manifold 
theorem. 92e:58198 

El-Sabbagh, M. F. The Painlevé property and coordinate transformations. 92k:58246 

Euler, N. see Steeb, Willi-Hans; et al., 92k:58128 and Hereman, Willy; et al. 

Fokas, Athanassios S. (with Santini, P. M.) Conservation laws for integrable systems. 
92j:58047 





35Q58 


— Integrable nonlinear equations. 92j:58048 

Fordy, Allan P. Prolongation structures of nonlinear evolution equations. (see 92f:58090) 

— see also Antonowicz, M.; et al., 92j:58040 

Fujimoto, Atsuo (with Watanabe, Yoshihide) Classification of fifth-order polynomial 
evolution equations of not normal type admitting infinitely many symmetries. 92b:58213 

Ghose, Chandana (with Roy Chowdhury, A.) Periodic inverse problem for a new hierarchy 
of coupled evolution equations. 92f:35144 

Gu, Zhu Quan Complex confocal involutive systems associated with the solutions of the 
AKNS evolution equations. 92k:58112 

— see also Zhang, Bao Cai, 92k:58133 

Giirses, Metin (with Karasu, Atalay) Integrable sigma models. 92a:58066 

Hai, Wen Hua Canonical Backlund transformations and new solutions of some field 
equations. 92a:58126 

Helminck, G. F. A geometric construction of solutions of matrix hierarchies. 92k:58113 

Hereman, Willy (with Steeb, Willi-Hans; Euler, N.) Comment on: “Towards the conserva- 
tion laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimen- 
sions” [J. Phys. A 19 (1986), no. 10, 1775-1781; MR 87i:58086] by A. Roy Chowdhury 
and M. Naskar. 

Iério, Rafael José, Jr. KdV, BO and friends in weighted Sobolev spaces. 92h:35209 

Ji, Xiao Da see Calogero, F., 92a:58060 

Jolly, M.S. (with Kevrekidis, loannis G.; Titi, Edriss Saleh) Preserving dissipation in 
approximate inertial forms for the Kuramoto-Sivashinsky equation. 92b:35165 

Karasu, Atalay see Giirses, Metin, 92a:58066 

Kedzia, Katarzyna see Lawrynowicz, Julian; et al., 92j:35154 

Kevrekidis, Ioannis G. see Jolly, M. S.; et al., 92b:35165 

Konopel’chenko, B. G. (with Sidorenko, Yu. N.; Strampp, Walter) (1 + 1)-dimensional 
integrable systems as symmetry constraints of (2 + 1)-dimensional systems. 92k:58116 

Kruskal, Martin D. (with Clarkson, Peter A.) The Painlevé-Kowalevski and poly-Painlevé 
tests for integrability. 92k:35245 

Kupershmidt, Boris A. Factorization of quasiclassical integrable systems. 92¢:58094 

Lakshmanan, M. see Tamizhmani, K. M.; et al., 92d:35130 

Lambert, F. (with Willox, R.) Combinatorial properties of some hierarchies of NLPDEs 
with two-soliton potential solutions. 92m:35236 

Latifi, A. (with Leon, Jéréme Jp.) On the interaction of Langmuir waves with acoustic 
waves in plasmas. 92a:82122 

Lawrynowicz, Julian (with Kedzia, Katarzyna; Suzuki, Osamu) Supercomplex structures, 
surface soliton equations, and quasiconformal mappings. 92j:35154 

Lebedev, D. R. (with Orlov, A. Yu.; Pakulyak, S. Z.; Zabrodin, A.) Nonlocal integrable 
equations as reductions of the Toda hierarchy. 92k:58119 

— (with Pakulyak, S. Z.) Zakharov-Shabat technique with quantized spectral parameter in 
the theory of integrable models. 92k:58120 

Leon, Jéréme Jp. see Latifi, A., 92a:82122 

Li, YiShen (with Cheng, Yi!) Symmetries in (1 + 1)-dimensional integrable system with 
their algebraic structures and conserved quantities. 92b:58102 

— see also Chen, Deng Yuan; et al., 92c:58135 

Liu, Qi Ming Transformation for the solutions of the two-dimensional Toda lattice. 
92h:58180 

Liu, Qing Ping see Antonowicz, M.; et al., 92j:58040 

Martynov, I. P. see Berezkina, N. S., 92¢:35033 

McDougall, S. R. (with Craik, A.D. D.) Blow-up in nonconservative second-harmonic 
resonance. 92a:76014 

Micali, Artibano (with Rachidi, Mustapha) Sur certains systémes différentiels de type de 
Lax. (English and Portuguese summaries) [On some differential systems of Lax type] 
92m:58065 

Morosi, C. (with Tondo, G.) GN manifolds, Yang-Baxter equations and ILW hierarchies. 
92e:58098 


Mulser, P. see Steeb, Willi-Hans; et al., 92k:58128 

(Naskar, Minati) see Hereman, Willy; et al. 

Orlov, A. Yu. see Lebedev, D. R.; et al., 92k:58119 

Pakulyak, S. Z. see Lebedev, D. R.; et al., 92k:58119 and 92k:58120 

Pasquier, J.-Y. (with Pasquier, R.) Paired integral expressions associated with some 
nonlinear partial differential equations: basic definitions in one example. 92d:58190 

Pasquier, R. see Pasquier, J.-Y., 92d:58190 

Post, Gerhard On Backlund transformations and identities in bilinear form. 92b:58253 

Promislow, Keith Time analyticity and Gevrey regularity for solutions of a class of 
dissipative partial differential equations. 92h:35192 

Punithavathi, P. see Tamizhmani, K. M., 92b:58209 

Rachidi, Mustapha see Micali, Artibano, 92m:58065 

Roy Chowdhury, A. see Ghose, Chandana, 92f:35144 and Hereman, Willy; et al. 

Sahadevan, R. see Tamizhmani, K. M.; et al., 924:35130 

Santini, P.M. see Fokas, Athanassios S., 92j:58047 

Sattinger, D. H. see Beals, Richard, 92k:58100 and 92m:58051 

Sidorenko, Yu. N. see Konopel’chenko, B. G.; et al., 92k:58116 

Stalyunas, K. see Valyulis, G., 92k:35238 

Steeb, Willi-Hans (with Euler, N.; Mulser, P.) On a hierarchy of nonlinear dynamical 
systems and Painlevé test. 92k:58128 

— see also Hereman, Willy; et al. 

Strampp, Walter see Konopel’chenko, B. G.; et al., 92k:58116 

Suzuki, Osamu see Lawrynowicz, Julian; et al., 92j:35154 

Tamizhmani, K.M. (with Sahadevan, R.; Lakshmanan, M.) Painlevé property and Lie- 
Backlund symmetries of a class of coupled nonlinear evolution equations. 92d:35130 

— (with Punithavathi, P.) Addendum to: “The infinite-dimensional Lie algebraic structure 
and the symmetry reduction of a nonlinear higher-dimensional equation” [J. Phys. Soc. 
Japan 59 (1990), no. 3, 843-847; MR 91¢:58160]. 92b:58209 

Titi, Edriss Saleh see Jolly, M. S.; et al., 92b:35165 

Tondo, G. see Morosi, C., 92e:58098 

Tu, Gui Zhang An extension of a theorem on gradients of conserved densities of integrable 
systems. 92a:58069 

Valyulis,G. (with Stalyunas, K.) Integrability and soliton solutions of equations of three- 
wave interaction. (Russian. English and Lithuanian summaries) 92k:35238 


PARTIAL DIFFERENTIAL EQUATIONS 


Watanabe, Yoshihide see Fujimoto, Atsuo, 92b:58213 

Wayne, C. E. see Eckmann, Jean-Pierre, 92e:58198 

Weiss, John Backlund transformations and the Painlevé property. 92d:58192 

— Factorization of the (2 + 1)-dimensional BLP integrable system by the periodic fixed 
points of its Backlund transformations. 92k:58248 

Willox, R. see Lambert, F., 92m:35236 

Wilson, George On antiplectic pairs in the Hamiltonian formalism of evolution equations. 
92)j:58054 

Yamagishi, Kengo A Hamiltonian structure of KP hierarchy, W,,... algebra, and self-dual 
gravity. 92f:58089 

Zabrodin, A. see Lebedev, D. R.; et al., 92k:58119 

Zhang, Bao Cai (with Gu, Zhu Quan) The coupled HD hierarchy and a classical integrable 
system of the complex form. 92k:58133 

Zhu, Guo Cheng see Chen, Deng Yuan; et al., 92¢:58135 


35Q60 Equations of electromagnetic theory and optics 


Achdou, Yves Effet d’un revétement métallisé mince sur la réflexion d’une onde 
électromagnétique. (English summary) [Effect of a thin metallized coating on the reflec- 
tion of an electromagnetic wave] 92k:35271 

Asakura, Fumioki Existence of global solutions to one-dimensional nonlinear Maxwell’s 
equations. 92b:35151 

Balk, A. M. A new invariant for Rossby wave systems. 92f:35134 

Battig, D. (with Guillot, J.-C.) The Fermi surface for the discretized Maxwell equations. 
(see 92d:35009) 

Busenberg, Stavros N. (with Fang, Wei Fu) Identification of semiconductor contact 
resistivity. 92g:35206 

Cimatti, Giovanni Existence and uniqueness for the equations of the Joule-Thomson effect. 
92:35135 

Costabel, Martin A coercive bilinear form for Maxwell’s equations. 92¢:35113 

Dorodnitsyn, V. A. (with Svirshchevskii, S. R.) Group properties of a system of equations 
for the inversion of a wave front of optic radiation in nonlinear media. (Russian. English 
summary) 92g:35207 

Fang, Wei Fu see Busenberg, Stavros N., 92g:35206 

Friedman, Avner (with Liu, Wen Xiong) A system of partial differential equations arising in 
electrophotography. 92¢:35114 

Fujioka, J. (with Riveros, H.) Nonlinear equations describing controlled-current transients 
in semiconductors and insulators. (Spanish summary) 92g:35208 

Gajewski, Herbert (with Gréger, Konrad) Semiconductor equations for variable mobilities 
based on Boltzmann statistics or Fermi-Dirac statistics. 92d:35281 

— (with Gréger, Konrad) Initial-boundary value problems modelling heterogeneous 
semiconductor devices. 92h:35220 

Gréger, Konrad see Gajewski, Herbert, 92d:35281 and 92h:35220 

Guan, Ping (with Wang, Yuan Ming) Existence of weak solutions to a class of semicon- 
ductor equations under the influence of a magnetic field. (Chinese. English summary) 
92i:35119 

Guillot, J.-C. see Battig, D., (92d:35009) 

Hoffmann, Karl-Heinz' (with Liu, Kunkun) A thermodynamical model of ferromagnetism 
and its numerical simulation. 924:35282 

Katauskis, Pranas Solvability of a nonlinear problem of magnetization. (Russian. English 
and Lithuanian summaries) 

Khapaev, A. M. see Volodin, B. A., 92g:35210 

Krzywicki, A. (with Nadzieja, T.) A nonstationary problem in the theory of electrolytes. 
92k:35272 

Kurbanov, I.O. Nonlinear boundary value problems of elect gr lasticity with 
memory. (Russian) 92a:35151 

— Solvability of nonlinear boundary value problems for Maxwell equations with memory. 
(Russian) 92k:35273 

— Solvability of linear Maxwell equations with memory. (Russian. Ukrainian summary) 
92d:35283 

— see also Mitropol'skii, Yu. A., 92¢:35115 

Kuznetsov, S. B. A method of domain decomposition in 3-D problems of magnetostatics. 
(French summary) 

Leimkuhler, B. J. (with Miekkala, Ulla; Nevanlinna, Olavi) Waveform relaxation for linear 
RC-circuits. 92h:35221 

Liess, Otto Decay estimates for the solutions of the system of crystal optics. 92e:35158 

Liu, Kunkun see Hoffmann, Karl-Heinz! , 92d:35282 

Liu, Wen Xiong see Friedman, Avner, 92c:35114 

Menyuk, Curtis R. (with Seidman, Thomas I.) Transient stimulated Raman scattering. 
92m:35259 

Miekkala, Ulla see Leimkuhler, B. J.; et al., 92h:35221 

Mitropol'skii, Yu. A. (with Kurbanov, I. O.) Solvability of the boundary value problems of 
electr gnetoelasticity with memory. (Russian) 92c:35115 

Moses, Harry E. (with Nagem, Raymond J.; Sandri, Guido v. H.) The general solution 
of the three-dimensional acoustic equation and of Maxwell’s equations in the infinite 
domain in terms of the asymptotic solution in the wave zone. 92k:35274 

Nadzieja, T. see Krzywicki, A., 92k:35272 

Nagem, Raymond J. see Moses, Harry E.; et al., 92k:35274 

Naumann, Joachim (with Wolff, Michael) A uniqueness theorem for weak solutions of the 
stationary semiconductor equations. 92k:35275 

Nevanlinna, Olavi see Leimkuhler, B. J.; et al., 92h:35221 

van Putten, Maurice H. P.M. Maxwell’s equations in divergence form for general media 
with applications to MHD. 92h:35222 

Riveros, H. see Fujioka, J., 92g:35208 

Sandri, Guido v. H. see Moses, Harry E.; et al., 92k:35274 

Schmeiser, Christian Voltage-current characteristics of multidimensional semiconductor 
devices. 92g:35209 

Seidman, Thomas I. see Menyuk, Curtis R., 92m:35259 

Svirshchevskii, S. R. see Dorodnitsyn, V. A., 92g:35207 











635 1992 


Volodin, B. A. (with Khapaev, A. M.) Exact solution of the relativistic Klein-Gordon wave 
equation. (Russian) 92g:35210 

Wang, Yuan Ming see Guan, Ping; et al., 92i:35119 

Wolff, Michael see Naumann, Joachim, 92k:35275 


Items with secondary classifications in 35Q60 

Allegretto, W. see Xie, Hong, 92m:35099 

Arminjon, Paul (with Smith, Luc) A finite volume scheme with limited anti-diffusion for 
numerical simulation of electric discharges. (see 92a:00036) 

Ascher, Uri M. (with Markowich, Peter A.; Pietra, Paola; Schmeiser, Christian) A phase 
plane analysis of transonic solutions for the hydrodynamic semiconductor model. 
92h:35187 

Bachelot, Alain Scattering operator for Maxwell equations outside Schwarzschild black- 
hole. 92£:58176 

Barouch, Eytan (with Hollerbach, Uwe; Orszag, Steven A.) Wave propagation in a 3D 
medium with time varying complex refractive index. (see 92a:65021) 

Bellandi Filho, J. (with Covolan, R. J. M.; Dobrigkeit, C.; Costa, C. G. S.; Mundim Fo., L. 
M.) Electromagnetic cascades: an alternative solution. 

Breckon, W. R. Measurement and reconstruction in electrical impedance tomography. (see 
92h:00016) 

Cao, Guo Xiang see He, Ye; et al., 92j:65169 

Carminati, John (with Czapor, S. R.; McLenaghan, Raymond G.; Williams, Graeme C.) 
Consequences of the validity of Huygens’ principle for the conformally invariant scalar 
wave equation, Weyl’s neutrino equation and Maxwell’s equations on Petrov type II 
space-times. (French summary) 92k:83031 

Cheney, Margaret see Somersalo, E. J.; et al., 92i:65193 

Colton, David (with Kress, Rainer) Time harmonic electromagnetic waves in an inhomoge- 
neous medium. 92a:78004 

— (with Monk, Peter B.) The inverse scattering problem for time harmonic electromagnetic 
waves. 92¢e:35172 

Costa, C. G.S. see Bellandi Filho, J.; et al. 

Covolan, R. J. M. see Bellandi Filho, J.; et al. 

Cox, M. see McKenzie, J. S.; et al., 92g:82111 

Czapor, S. R. see Carminati, John; et al., 92k:83031 

Degond, Pierre (with Raviart, Pierre-Arnaud) An asymptotic analysis of the one- 
dimensional Vlasov-Poisson system: the Child-Langmuir law. 92f:82062 

— (with Raviart, Pierre-Arnaud) An analysis of the Darwin model of approximation to 
Maxwell’s equations. 92m:78005 

Dobrigkeit, C. see Bellandi Filho, J.; et al. 

Dobryakov, A. B. (with Nazin, G.I.) Solution branches of the discrete stationary Vlasov 
equation. (Russian. English summary) 92i:82107 

Dobson, David C. (with Friedman, Avner) The time-harmonic Maxwell equations in a 
doubly periodic structure. 92m:78015 

Egorchenko, I. A. see Fushchich, V. I., 92g:35008 

Erémin, Yu. A. (with Orlov, N. V.; Sveshnikov, A. G.) The method of discrete sources in 
problems of wave scattering by several magnetodielectric bodies. (Russian) 

Farzan, Ruszlin H. Application of integral equation methods to the solution of Maxwell 
equations. (see 92k:65004) 

Fiedler, O. A. Some conditions for the convergence of the Gummel method. (Russian) 
92f:65153 

Fordy, Allan P. (with Holm, Darryl D.) A tri-Hamiltonian formulation of the self-induced 
transparency equations. 92k:58109 

Friedlander, Susan (with Vishik, M. M.) Dynamo theory, vorticity generation, and 
exponential stretching. 92h:76088 

Friedman, Avner see Dobson, David C., 92m:78015 

Fushchich, V. I. Construction of solutions of nonlinear d’Alembert, Maxwell, Yang-Mills 
equations by solutions of nonlinear spinor equations. 92j:81081 

— (with Egorchenko, I. A.) Reduction and solutions of a nonlinear equation for the vector 
potential. (Russian. English summary) 92g:35008 

Gajewski, Herbert (with Gartner, Klaus) On the iterative solution of van Roosbroeck’s 
equations. (German and Russian summaries) 92m:65133 

Gartner, Klaus see Gajewski, Herbert, 92m:65133 

Georgiev, Viadimir S. Small amplitude solutions of the Maxwell-Dirac equations. 92i:81107 

Glassey, Robert T. Convergence of an energy-preserving scheme for the Zakharov equations 
in one space dimension. 92¢:65123 

Gu, Qi Shan see Liu, Yu Jing; et al., 92g:65123 

Guan, Ping On asymptotic behavior of time-dependent solutions to a kind of semiconduc- 
tor equations. 92a:35025 

Guerch, Bouchaib (with Véron, Laurent) Local properties of stationary solutions of some 
nonlinear singular Schrédinger equations. 924:35269 

He, Ye (with Cao, Guo Xiang; Wang, Yuan Ming) Theory and method of eliminating 
numerical oscillation of diffusion-drift equation. 92j:65169 

Hollerbach, Uwe see Barouch, Eytan; et al., (92a:65021) 

Holm, Darryl D. see Fordy, Allan P., 92k:58109 

Isaacson, David see Somersalo, E. J.; et al., 92i:65193 

Isaacson, Eli Leon see Somersalo, E. J.; et al., 92i:65193 

Ivanchenko, E. A. (with Tsarév, S. P.) Invariant solutions of nonlinear evolution equations 
of a helical magnet. (Russian. English and Ukrainian summaries) 92a:82085 

Jerome, Joseph W. (with Kerkhoven, Thomas) A finite element approximation theory for 
the drift diffusion semiconductor model. 92k:65012 

Kabanikhin, S. 1. (with Lorenzi, A.) An identification problem related to the integrodiffer- 
ential Maxwell’s equations. 92k:35288 

Katauskis, Pranas Unique solvability of a problem of the type of magnetization of a 
medium composed of single-domain particles in L, spaces. (Russian. English and 
Lithuanian summaries) 92¢:82066 

Kerkhoven, Thomas see Jerome, Joseph W., 92k:65012 

Khapaev, Mikhail Mikhailovich see Osipov, S. G., 92m:78019 

Khusainov, R. N. Determination of the relaxation times and equilibrium magnetization in 
an inverse problem for the Bloch equation. (Russian) 92¢:35122 


35Q Equations of mathematical physics and other areas of application 


35Q60 


King, John Robert (with Meere, M. G.; Rogers, T. G.) Asymptotic analysis of a nonlinear 
model for substitutional diffusion in semiconductors. 

Kress, Rainer see Colton, David, 92a:78004 

Kristensson, G. (with Krueger, R. J.; Winther, R. C.) Existence and construction of 
solutions of dissipative inverse problems. 92h:35241 

Krueger, R. J. see Kristensson, G.; et al., 92h:35241 

Krutitskii, P. A. Flow of an electric current from rectilinear electrodes in a magnetized 
semiconducting film. (Russian) 92b:78006 

— Application of S. A. Gabov’s potentials in semiconductor physics. (Russian) 92d:82112 

Kurbanov, I.O. The existence of an electromagnetic field in a plate with memory. (Russian) 
92:78003 

— Solvability of nonlinear boundary value problems of electrodynamics with memory. 
(Russian) 92f:78004 

— see also Mitropol'skii, Yu. A., 92h:73036 

Leland, Robert Patton A white-noise approach to modeling laser propagation in atmospheric 
turbulence. 92k:86003 

Liang, Jin On the semiconductor system. 92m:35133 

Liu, Yu Jing (with Gu, Qi Shan) A surface fitting method for the boundary element analysis 
of nonlinear electromagnetic fields. (Chinese. English summary) 92g:65123 

Lorenzi, A. see Kabanikhin, S. 1., 92k:35288 

Maikov, A. R. (with Poezd, A. D.; Sveshnikov, A. G.; Yakunin, S. A.) Nonstationary 
partial radiation conditions for an inhomogeneous medium. The spherical case. (Russian. 
English summary) 92j:78017 

Markov, Yu. A. (with Rudykh, G. A.; Sidorov, N. A.; Sinitsyn, A. V.) Some families cf 
solutions of the Vlasov-Maxwell system and their stability. 92m:82133 

— (with Rudykh, G. A.; Sidorov, N. A.; Sinitsyn, A. V.) A family of solutions of the Vlasov- 
Maxwell system and their stability. (Russian. English summary) 92h:78020 

Markowich, Peter A. On steady state Euler-Poisson models for semiconductors. 92h:76093 

— see also Ascher, Uri M.; et al., 92h:35187 

McKenzie, J.S. (with O’Brien, M. R.; Cox, M.) Solution of three-dimensional Fokker- 
Planck equations for tokamak plasmas using an operator splitting technique. 92g:82111 

McLenaghan, Raymond G. see Carminati, John; et al., 92k:83031 

Meere, M.G. see King, John Robert; et al. 

Mitropol'skii, Yu. A. (with Kurbanov, I. O.) Solvability of a problem of electromagnetoelas- 
ticity with memory. (Russian. Ukrainian summary) 92h:73036 

Monk, Peter B. A comparison of finite element methods for the time dependent Maxwell 
equations. 92a:65298 

— A mixed method for approximating Maxwell’s equations. 92j:65173 

— see also Colton, David, 92e:35172 

Morro, Angelo (with Straughan, Brian) A uniqueness theorem in the dynamical theory of 
piezoelectricity. 92d:73044 

Mundim Fo., L. M. see Bellandi Filho, J.; et al. 

Mustieles, Francisco-José Global existence of weak solutions for a system of nonlinear 
Boltzmann equations in semiconductor physics. 92d:82092 

Naumann, Joachim On the existence of weak solutions of the stationary semiconductor 
equations with velocity saturation. 92m:35094 

Nazin, G.I. see Dobryakov, A. B., 92i:82107 

O’Brien, M. R. see McKenzie, J. S.; et al., 92g:82111 

Orlov, N. V. see Erémin, Yu. A.; et al. 

Orszag, Steven A. see Barouch, Eytan; et al., (92a:65021) 

Osipov, S.G. (with Khapaev, Mikhail Mikhailovich) Modeling of micromagnetic 
structures. (Russian) 92m:78019 

Pidcock, M. K. Recent developments in electrical impedance tomography. (see 92a:00040) 

Pietra, Paola see Ascher, Uri M.; et al., 92h:35187 

Pochanina, I. E. (with Shestopalov, V. P.; Yashina, N. P.) Interaction and forced natural 
oscillations of open waveguide resonators. (Russian) 

Poezd, A. D. see Maikov, A. R.; et al., 92j:78017 

Pujols, Agnes Time dependent integral method for Maxwell equations. 92a:65352 

Pukhnachéva, T. P. see Romanov, V. G., 92j:78009 

Ramm, A. G. (with Somersalo, E. J.) Electromagnetic inverse problems at low frequencies. 
(see 92a:00040) 

Raviart, Pierre-Arnaud Approximate models for Maxwell’s equations and applications. (see 
92a:00036) 

— see also Degond, Pierre, 92f:82062 and 92m:78005 

Rogers, T.G. see King, John Robert; et al. 

Romanov, V. G. (with Pukhnachéva, T. P.) A theorem on the stability of the solution of a 
problem on determining the coefficients of the system of Maxwell equations. (Russian) 
92j:78009 

Rudykh, G. A. see Markov, Yu. A.; et al., 92h:78020 and 92m:82133 

Schmeiser, Christian see Ascher, Uri M.; et al., 92h:35187 

Sheina, E. A. see Smirnov, A. P., 92g:76088 

Shestopalov, V. P. see Pochanina, I. E.; et al. 

Shu, Wei-Tong Asymptotic properties of the solutions of linear and nonlinear spin field 
equations in Minkowski space. 92m:58138 

Sidorov, N. A. see Markov, Yu. A.; et al., 92h:78020 and 92m:82133 

Simulik, V.M. A connection between the symmetry properties of the Dirac and Maxwell 
equations and conservation laws. (Russian. English summary) 92i:81109 

Sinitsyn, A. V. see Markov, Yu. A.; et al., 92h:78020 and 92m:82133 

Smirnov, A. P. (with Sheina, E. A.) On the existence of a solitary traveling vortex in a 
magnetized plasma in the presence of an inhomogeneous electrical field. (Russian) 
92g:76088 

Smirnov, Yu. G. The Fredholm property of the problem of diffraction by a flat bounded 
ideally conducting screen. (Russian) 92k:78007 

Smith, Luc see Arminjon, Paul, (92a:00036) 

Somersalo, E. J. (with Cheney, Margaret; Isaacson, David; Isaacson, Eli Leon) Layer 
stripping: a direct numerical method for impedance imaging. 92i:65193 

— (with Cheney, Margaret; Isaacson, David; Isaacson, Eli Leon) Corrigendum: “Layer 
stripping: a direct numerical method for impedance imaging” [Inverse Problems 7 (1991), 
no. 6, 899-926; MR 92i:65193}. 

— see also Ramm, A. G., (92a:00040) 





35Q60 


Straughan, Brian see Morro, Angelo, 92d:73044 

Sun, Zi Qi (with Uhlmann, Gunther) Generic uniqueness for an inverse boundary value 
problem. 92b:35172 

Sveshnikov, A. G. see Maikov, A. R.; et al., 92j:78017 and Erémin, Yu. A.; et al. 

Swart, J. H. The stability of Maxwell’s equations associated with an initial-boundary value 
problem in quarter space. 924:35218 

Tan, Shao Bin On the generalized system of ferro-magnetic chain with Gilbert damping 
term. 924:82062 

Tsarév, S. P. see Ivanchenko, E. A., 92a:82085 

Uhlmann, Gunther see Sun, Zi Qi, 92b:35172 

Véron, Laurent see Guerch, Bouchaib, 924:35269 

Villalba, Victor M. Separation of variables and exact solution of the Dirac equation in 
nonstatic Minkowski spacetimes. 92i:81050 

Vishik, M. M. see Friedlander, Susan, 92h:76088 

Vogelsang, Volker On the strong unique continuation principle for inequalities of Maxwell 
type. 92a:35072 

Wang, Yuan Ming see He, Ye; et al., 92j:65169 

Williams, Graeme C. see Carminati, John; et al., 92k:83031 

Winther, R.C. see Kristensson, G.; et al., 92h:35241 

von Wolfersdorf, Lothar On an electromagnetic inverse problem for dispersive media. 
924:35022 

Xie, Hong (with Allegretto, W.) C2(Q) solutions of a class of nonlinear degenerate elliptic 
systems arising in the thermistor problem. 92m:35099 

Yakunin, S. A. see Maikov, A. R.; et al., 92j:78017 

Yashina, N. P. see Pochanina, I. E.; et al. 

Yoshida, Zensho Eigenfunction expansions associated with the curl derivatives in cylindri- 
cal geometries: completeness of Chandrasekhar-Kendall eigenfunctions. 92m:35192 


35Q72 Other equations from mechanics 


Carbonaro, Bruno (with Russo, Remigio) Uniqueness in plane linear elastostatics for 
exterior domains. (Italian summary) 92m:35260 

Chudinovich, I. Yu. Methods for solving boundary equations in problems on the dynamics 
of elastic media. (Russian. English summary) 92£:35136 

Eckmann, Jean-Pierre (with Zamora, M.) Stationary solutions for the Swift-Hohenberg 
equation in nonuniform backgrounds. (French summary) 92£:35137 

Hrusa, William J. (with Messaoudi, Salim A.) On formation of singularities in one- 
dimensional nonlinear thermoelasticity. 92b:35152 

Melnik, V. N. Existence and uniqueness theorems for a generalized solution of a class of 
nonstationary problems of coupled electroelasticity. (Russian) 92h:35223 

Messaoudi, Salim A. see Hrusa, William J., 92b:35152 

Racke, Reinhard (with Shibata, Yoshihiro) Global smooth solutions and asymptotic 
stability in one-dimensional nonlinear thermoelasticity. 92g:35211 

Russo, Remigio see Carbonaro, Bruno, 92m:35260 

Shibata, Yoshihiro see Racke, Reinhard, 92g:35211 

Taylor, Stephen W. Gevrey solutions for equations of Euler-Bernoulli type. 92k:35276 

Zamora, M. see Eckmann, Jean-Pierre, 92f:35137 


Items with secondary classifications in 35Q72 

Ball, J. M. (with Holmes, Philip; James, Richard Dana; Pego, Robert L.; Swart, P. J.) On 
the dynamics of fine structure. 924:35194 

Begehr, Heinrich G. W. (with Gilbert, R. P.; Lo, C. Y.) The two-dimensional nonlinear 
orthotropic plate. 92m:73077 

(Bry, Lesly) see Zeytounian, R. Kh., 92b:86010 

Bukhvostov, A. P. (with Lipatov, L. N.) Covariantly homogeneous classical solutions in o 
models. (Russian) 92¢:58050 

Burov, A. A. (with Subkhankulov, G. I.) Some difference schemes for equations of 
dynamics that have first integrals. (Russian) 92h:34093 

Chang, Liang Ming (with Du, Qing Hua) Establishing fundamental solutions by using 
differential operator theory. (Chinese. English summary) 92d:35011 

Chipot, Michel (with Vergara-Caffarelli, G.) Some results in viscoelasticity theory via a 
simple perturbation argument. 92d:73025 

Choi, Q-Heung (with Jung, Tacksun) On periodic solutions of the nonlinear suspension 
bridge equation. 92a:35013 

Choi, Yung Sze (with Jen, K. C.; McKenna, P. J.) The structure of the solution set for 
periodic oscillations in a suspension bridge model. 92k:73052 

Chudinovich, I. Yu. Boundary equations in problems of the dynamics of elastic media. 
(Russian. English summary) 92c:73033 

Colli, Pierluigi Mathematical study of an evolution problem describing the thermomechani- 
cal process in shape memory alloys. (Italian summary) 92h:73008 

Connell, H. J. see May, R. L., (92d:00025) 

Countryman, M. (with Kannan, Rangachary) Forced oscillations of elastic strings with 
nonlinear damping. 92m:73074 

Do Duc Hung (with Gawinecki, Jerzy) Matrix of fundamental solutions for the system of 
dynamic equations of classical three-dimensional thermoelasticity theory. 92d:73003 

Du, Qing Hua see Chang, Liang Ming; et al., 92d:35011 

Galba, E. F. see Molchanov, I. N., 92b:73006 

Gawinecki, Jerzy see Do Duc Hung, 924:73003 

Gilbert, R. P. see Begehr, Heinrich G. W.; et al., 92m:73077 

Gzyl, Henryk * Hamiltonian flows and evolution semigroups. 92a:58054 

Holmes, Philip see Ball, J. M.; et al., 92d:35194 


Ionescu, loan R. Functional and numerical methods in rate-type viscoplasticity. (Romanian. 


English summary) 92¢:73050 

James, Richard Dana see Ball, J. M.; et al., 92d:35194 

Jen, K.C. see Choi, Yung Sze; et al., 92k:73052 

Jung, Tacksun see Choi, Q-Heung, 92a:35013 

Kannan, Rangachary see Countryman, M., 92m:73074 

Kaptsov, O. V. Integral symmetries and conservation laws. (Russian) 92f:35102 

Knops, R. J. (with Rionero, S.; Russo, Remigio) Stability and related results in linear 
elastodynamics on unbounded regions. 92b:73024 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 636 


Kondrat'ev, V. A. (with Oleinik,O. A.) A new approach to Boussinesq and Cerruti problems 
for a system in the theory of elasticity. (Russian) 92e:73012 

Kopets, A.S. Discontinuous solutions in the classical theory of bending of plates. (Russian. 
Ukrainian summary) 92¢:73079 

Leray, Jean Expressions explicites des solutions fondamentales pour le demi-plan élastique. 
(English summary) [A closed form of fundamental solution for the elastic half-plane] 
92g:35005 

Lipatov, L. N. see Bukhvostov, A. P., 92e:58050 

Le, C. Y. see Begehr, Heinrich G. W.; et al., 92m:73077 

Luca, I. Domain of influence and uniqueness in viscothermoelasticity of integral type. 
92b:73003 

May, R. L. (with Connell, H. J.) A model of the deployment of a towed body. (see 
92d:00025) 

McKenna, P. J. see Choi, Yung Sze; et al., 92k:73052 

Molchanov, I. N. (with Galba, E. F.) Variational formulations of a static problem in 
elasticity theory under given external forces. (Russian. Ukrainian summary) 92b:73006 

Nazarov, S. A. Manifestation of the three-dimensional structure of a stress field in a 
neighborhood of a corner point of a thin plate. (Russian) 92m:73045 

Oleinik, O. A. see Kondrat'ev, V. A., 92e:73012 

Pego, Robert L. see Ball, J. M.; et al., 92d:35194 

Peletier, L. A. (with Troy, William C.) Self-similar solutions for infiltration of dopant into 
semiconductors. 92m:82139 

Ramaswamy, Mythily On a counterexample to a conjecture of Saint-Venant. 92¢:73023 

Rionero, S. see Knops, R. J.; et al., 92b:73024 

Russell, David L. A comparison of certain elastic dissipation mechanisms via decoupling 
and projection techniques. 92e:73029 

Russo, Remigio see Knops, R. J.; et al., 92b:73024 

Scarpetta, Edoardo Theorems of continuous dependence and uniqueness for nonlinear 
elastodynamics in unbounded domains. (Italian summary) 92b:73022 

Shkalikov, A. A. (with Shkred, A. V.) A problem on steady oscillations of a transversally 
isotropic half-cylinder. (Russian) 92j:47140 

Shkred, A. V. see Shkalikov, A. A., 92j:47140 

Stuart, David M. A. A particle-field theory in the form of a hyperbolic free boundary 
problem. 92h:35246 

Subkhankulov, G.I. see Burov, A. A., 92h:34093 

Swart, P. J. see Ball, J. M.; et al., 92d:35194 

Tataru, Grigore * Elemente de teoria distributiilor cu aplicatii in mecanica. (Romanian) 
[Elements of the theory of distributions with applications to mechanics] 92m:46051 

Troy, William C. see Peletier, L. A., 92m:82139 

Tzavaras, Athanassios E. Strain softening in viscoelasticity of the rate type. 92d:35159 

Vala, Jiti Variational solutions in dynamics of linear viscoelastic body. 92b:73021 

Vergara-Caffarelli, G. see Chipot, Michel, 92d:73025 

Zeytounian, R. Kh. * Asymptotic modeling of atmospheric flows. 92b:86010 


35Q75 PDE in relativity 


Carminati, John (with McLenaghan, Raymond G.) On the validity of Huygens’ principle 
for the wave equation on curved space-time. (see 92m:78001) 

Khapaev, A. M. see Volodin, B. A., 92¢c:35116 

McLenaghan, Raymond G. see Carminati, John, (92m:78001) 

Volodin, B. A. (with Khapaev, A. M.) Ona method for constructing a solution of a 
relativistic wave equation. (Russian) 92¢:35116 


Items with secondary classifications in 35Q75 

Chrusciel, Piotr T. Semi-global existence and convergence of solutions of the Robinson- 
Trautman (2-dimensional Calabi) equation. 92a:83007 

Georgiev, Vladimir S. Small amplitude solutions of the Maxwell-Dirac equations. 92i:81107 

Kitaev, A. V. Isomonodromic deformations and self-similar solutions of the Einstein- 
Maxwell equations. (Russian. English summary) 92b:83036 

Ohyama, Yousuke Self-duality and integrable systems. 92d:58086 

Pletyukhov, V. A. On the internal symmetry of relativistic wave equations. (Russian) 
92k:81061 

Tertychnyi, S. I. Some representations of the general solution of the linearised vacuum 
Einstein equations for axially symmetric stationary metrics. 92b:83010 

Zhou, Qi Huang The exterior metric approach to a charged axisymmetric celestial body. The 
exact solutions of Einstein-Maxwell equations. (Chinese summary) 92d:83025 


35Q80 Applications of PDE in areas other than physics 


Hu, Bei A fiber-tapering problem. 92g:35212 

Jager, Willi (with Luckhaus, Stephan) On explosions of solutions to a system of partial 
differential equations modelling chemotaxis. 92¢:35159 

Luckhaus, Stephan see Jager, Willi, 92e:35159 

Nozaki, Kazuhiro see Yamada, Hiroyasu, 92d:35284 

Rasulov, T. M. Solution of a mixed problem for a linearized system of equations of motion 
of viscoplastic media. (Russian) 92m:35261 

Yamada, Hiroyasu (with Nozaki, Kazuhiro) Interaction of pulses in dissipative systems. 
FitzHugh-Nagumo equations. 924:35284 


Items with secondary classifications in 35Q80 


Berezovskaya, L. M. (with Berezovskii, A. A.,; Zhuraev, K. O.) Basic equations of 
axisymmetric hypothermy and the cryodestruction of biological tissue. (Russian) 
92f:92018a 

Berezovskii, A. A. (with Zhuraev, K. O.; Yurtin, I. 1.) Nonstationary problems of the 
spherically symmetric hypothermy of biological tissue. (Russian) 92f:92018b 

— see also Berezovskaya, L. M.; et al., 92f:92018a 

Chen, Pei-Li Asymptotic behavior and steady state solutions of a myelinated axon model 
with FitzHugh-Nagumo dynamics. 92b:92012 

Chen, Yu Pin The global behavior of nonlinear population evolution equations. (Chinese. 
English summary) 92a:35099 





637 1992 


Chou, Mo Hong Hopf bifurcation in a reaction-diffusion system governed by the FitzHugh- 
Nagumo equations. 92k:35030 

Chyan, Chuan J. (with Webb, G. F.) A model of proliferating cell populations with 
correlation of mother-daughter mitotic times. 92m:92011 

Huang, Jian Jun The triangular matrix method for 
English summary) 92m:35131 

Huang, Si Xun Local stability of logistic age-dependent population growth. (Chinese. 
English summary) 92b:92036 

Ikeda, Tsutomu (with Nagai, Toshitaka) A mathematical study on effects of narrow gap 
width in myelinated nerve axons. 924:92015 

Kanel’, Ya. I. The existence of a solution of traveling wave type for the Belousov- 
Zhabotinskii system of equations. II. (Russian) 92m:35132 

Khenkin, G. M. (with Polterovich, V.M.) Schumpeterian dynamics as a nonlinear wave 
theory. 92i:90029 

Kubo, Masahiro (with Langlais, Michel) Solutions périodiques pour un probléme de 
dynamique des populations. [Periodic solutions for a population-dynamics problem] 
92g:35020 





diffusion sy (Chinese. 


— (with Langlais, Michel) Periodic solutions for a population dynamics problem with age- 
dependence and spatial structure. 92d:92030 

— Some variational inequalities for age-dependent population dynamics. 924:35168 

Langlais, Michel see Kubo, Masahiro, 92d:92030 and 92g:35020 

Louro, Bento Asymptotic analysis of the electrochemistry equations: correctors in the multi- 
dimensional case. 92k:35023 

Lui, Roger Existence and stability of travelling wave solutions for a simplified bistable 
evolutionary ecology model. 92i:92015 

Maksimov, A. G. (with Nekorkin, V.I.) Heteroclinic orbits and fronts of complex form in 
the FitzHugh-Nagumo model. (Russian. English summary) 92d:92016 

Milner, Fabio A numerical method for a model of inhomogeneous muscle fibers: a parallel 
implementation. 92a:65243 

Moll, V. (with Rosencrans, S. 1.) Calculation of the threshold surface for nerve equations. 
92¢:92008 

Nagai, Toshitaka see Ikeda, Tsutomu, 92d:92015 

Nagylaki, Thomas The diffusion model for migration and selection. (see 90d:92028) 

Nekorkin, V. I. see Maksimov, A. G., 92d:92016 

Oliveri, Francesco (with Vermiglio,G.) Waves and stability analysis for a hyperbolic model 
describing nerve pulse in neurons. 92e:92008 

Pilz, Lothar Mathematical modelling of the life cycle in cell populations. 92e:92020 

Polterovich, V.M. see Khenkin, G. M., 92i:90029 

Rosencrans, S. I. see Moll, V., 92c:92008 

Roy Choudhury, S. Painlevé analysis and partial integrability of a class of reaction-diffusion 
equations. 92k:35149 

Smith, Hal L. Equilibrium distribution of species among vessels of a gradostat. A singular 
perturbation approach. 92g:92021 

Song, Kai Tai see Zhou, Li; et al., 92m:35137 

Thieme, Horst R. Semiflows generated by Lipschitz perturbations of non-densely defined 
operators. 92e:47121 

Valencia, Marta Invariant regions and asymptotic bounds for a hyperbolic version of the 
nerve equation. 92f:92016 

Vermiglio, G. see Oliveri, Francesco, 92¢:92008 

Wang, Ming Xin? (with Ye, Qi Xiao) Traveling wave front solutions to a class of three- 
dimensional mathematical models for chemical reactions. (Chinese. English summary) 

Webb, G. F. see Chyan, Chuan J., 92m:92011 

Ye, Qi Xiao see Wang, Ming Xin’; et al. 

Yurtin, I. 1. see Berezovskii, A. A.; et al., 92f:92018b 

Zhou, Li (with Song, Kai Tai) The analysis of Hopf bifurcation for the prey-predator 
system with diffusion and delay. 92m:35137 

Zhuraev, K.O. see Berezovskaya, L. M.; et al., 92f:92018a and Berezovskii, A. A.; et al., 
92£:92018b 


35Q99 None of the above, but in this section 


Alikakos, Nicholas D. (with Bates, Peter W.; Fusco, Giorgio) Slow motion for the Cahn- 
Hilliard equation in one space dimension. 92a:35152 

Alt, Hans Wilhelm (with Pawtow, Irena) Dynamics of nonisothermal phase separation. 
92k:35277 

Baldo, M. (with Grassi, Antonio; Raudino, A.) Time-dependent rototranslational diffusion 
equation with multiple mixed boundary conditions: a formally exact analytical solution. 
92m:35262 

Bates, Peter W. see Alikakos, Nicholas D.; et al., 92a:35152 

Batt, Jiirgen (with Rein, Gerhard) Global classical solutions of the periodic Viasov-Poisson 
system in three dimensions. (French summary) $2f:35138 

Bianchi, Monica Existence of a solution of the Cauchy problem for an equation associated 
with nonlinear viscoelastic phenomena. (Italian) 924:35285 

Bony, Jean-Michel Existence globale 4 données de Cauchy petites pour les modéles discrets 
de l’équation de Boltzmann. [Global existence, for small Cauchy data, of the solutions of 
discrete models of the Boltzmann equation] 92m:35263 

Bouchut, Francois Existence de solutions réguliéres globales pour le systéme de Vlasov- 
Poisson-Fokker-Planck en dimension trois. [Existence of global regular solutions for the 
Viasov-Poisson-Fokker-Planck system in three dimensions] 92g:35213 

Chkadua, O. O. see Natroshvili, D. G.; et al., 92e:35162 

Desvillettes, L. (with Dolbeault, Jean) On long time asymptotics of the Vlasov-Poisson- 
Boltzmann equation. 92b:35153 

Dolbeault, Jean see Desvillettes, L., 92b:35153 

Elliott, Charles M. (with Zheng, Song Mu) Global existence and stability of solutions to the 
phase field equations. 92g:35214 

Esipov, S. E. Stability for a high-absorption wave. Arbitrary equilibrium as a solution of the 
velocity selection problem. 92h:35224 

Fusco, Giorgio see Alikakos, Nicholas D.; et al., 92a:35152 

Fushchich, V.1. (with Repeta, V. K.) Exact solutions of some equations of gas dynamics 
and nonlinear acoustics. (Russian. English summary) 92k:35278 


35Q Equations of mathematical physics and other areas of application 


35Q99 


Gandarias-Niiiez, M. L. (with Ramirez-Labrador, J.) An exact solution of the Fokker- 
Planck equation for a potential involving Airy functions. (Spanish. English summary) (see 
92m:00052) 

— see also Ramirez-Labrador, J., (92m:00052) 

Grassi, Antonio see Baldo, M.; et al., 92m:35262 

Guo, Bo Ling Global smooth solutions for the system of Zakharov equations in nonhomoge- 
neous medium. 92i:35120 

Jiang, Zhuhan Construction of inverse data in multidimensions. 92b:35154 

Kawashima, Shuichi Existence and stability of stationary solutions to the discrete Boltz- 
mann equation. 92k:35279 

Kim, Jong Uhn A unique continuation property of a beam equation with variable 
coefficients. (see 92m:93001) 

Kondrat'ev, V. A. (with Oleinik, O. A.) Hardy and Korn inequalities for a class of 
unbounded domains and their applications in elasticity theory. (Russian) 92b:35155 

Koranyi, Adam Transformation properties of the generalized Muirhead operators. 
92b:35156 

Letavin, M. I. (with Mishuris, G. S.) A nonstationary temperature boundary layer in a cross 
section of a rotating cylinder. (Russian) 92k:35280 

Levy, Arnon Existence and uniqueness for Majda’s model of dynamic combustion. (see 
92m:35004) 

Lin, Zheng Guo The solvability of the initial-boundary problem for equations in combus- 
tion dynamics with large parameter. 92b:35157 

Lions, Pierre-Louis (with Perthame, Benoit) Régularité des solutions du systéme de Vlasov- 
Poisson en dimension 3. (English summary) [Regularity of solutions of the Vlasov- 
Poisson system in three dimensions] 92b:35158 

— (with Perthame, Benoit) Propagation of moments and regularity for the 3-dimensional 
Vlasov-Poisson system. (French summary) 92¢:35160 

Maslova, N. B. Mathematical methods for studying the Boltzmann equation. (Russian) 
92j:35178 

McKee, Sean see Tang, Tao; et al., 92m:35267 

Michelson, Daniel Bunsen flames as steady solutions of the Kuramoto-Sivashinsky 
equation. 92j:35179 

Mishuris, G.S. see Letavin, M. 1., 92k:35280 

Mkkhitaryan, K. N. Classical solutions of equations of Vlasov type. Existence. (Russian) 
92a:35153 

— Classical solutions of equations of Vlasov type. Uniqueness and continuous dependence 
on the initial condition. (Russian) 92a:35154 

— Classical solutions of equations of Vlasov type. Smooth dynamical systems. (Russian) 
92a:35155 

Mustieles, Francisco-José Global existence of solutions of the nonlinear Boltzmann 
equation of semiconductor physics. 92¢:35161 

Nakamura, Masa-Aki On the magnetic Bénard problem. 92h:35225 

— On an equilibrium of the plasma in a tokamak with a limiter. 92j:35180 

Natroshvili, D. G. (with Chkadua, O. O.; Shargorodskii, E. M.) Mixed problems for 
homogeneous anisotropic elastic media. (Russian. English and Georgian summaries) 
92e:35162 

Novick-Cohen, A. (with Peletier, L. A.) The steady states of the one-dimensional Cahn- 
Hilliard equation. 

Oleinik, O. A. see Kondrat'ev, V. A., 92b:35155 

Pawiow, Irena see Alt, Hans Wilhelm, 92k:35277 

Peletier, L. A. see Novick-Cohen, A. 

Peng, Yue Jun Probléme de Cauchy pour la dynamique des gaz. (English summary) [Cauchy 
problem for gas dynamics] 92m:35264 

Pérez Cuéllar, A. Similarity solutions for the Kolmogorov equation with an initial 
condition. (Spanish. English summary) (see 92m:00052) 

Perthame, Benoit see Lions, Pierre-Louis, 92b:35158 and 92e:35160 

Pletner, Yu. D. Some properties of solutions of an equation of gravitational-gyroscopic 
waves. (Russian) 92g:35215 

Ramirez-Labrador, J. (with Gandarias-Nuifiez, M. L.) A symmetry solution of the Fokker- 
Planck equation with potential depending on some trigonometric functions. (Spanish. 
English summary) (see 92m:00052) 

— see also Gandarias-Niiiez, M. L., (92m:00052) 

Raudino, A. see Baldo, M.; et al., 92m:35262 

Reeks, M. W. see Tang, Tao; et al., 92m:35267 

Rein, Gerhard see Batt, Jiirgen, 92f:35138 

Renardy, Michael An existence theorem for model equations resulting from kinetic theories 
of polymer solutions. 92b:35159 

Repeta, V. K. see Fushchich, V. I., 92k:35278 

Ringeisen, E. (with Sentis, R.) On the diffusion approximation of a transport process 
without time scaling. 92j:35181 

Sakabekov, A. On the existence of a global solution of an initial-boundary value problem for 
the Boltzmann equation. (Russian) 

— Dissipativity of boundary conditions for a nonstationary system of Boltzmann moment 
equations. (Russian. English and Kazakh summaries) 

— An initial-boundary value problem for a one-dimensional system of Boltzmann moment 
equations in an odd approximation. (Russian) 92m:35265 

Sakhnovich, A. L. The N-wave problem on the half-line. (Russian) 92j:35182 

Samokhin, V. N. On a system of equations in the hydrodynamics of nonlinearly 
viscous media. (Russian) 92g:35216 

Senashoyv, S. I. Conservation laws for equations of plasticity. (Russian) 

Sentis, R. see Ringeisen, E., 92j:35181 

Shargorodskii, E.M. see Natroshvili, D. G.; et al., 92e:35162 

Strohmer, Gerhard About compressible viscous fluid flow in a bounded region. 92b:35160 

Takeno, Shigeharu Initial-boundary value problems for isentropic gas dynamics. 
92m:35266 

Tang, Tao (with McKee, Sean; Reeks, M. W.) On a moving boundary solution to the 
Fokker-Planck equation for particle transport in turbulent flows with absorbing 
boundaries. 92m:35267 

Tesalkin, A. V. An infinite-dimensional van der Pol-type equation. (Russian) 92e:35163 

Varlamov, V. V. Asymptotic behavior of energy for an integro-differential equation that 





J 





35Q99 


describes acoustic waves in a medium with relaxation. (Russian) 

Victory, Harold Dean, Jr. On the existence of global weak solutions for Viasov-Poisson- 
Fokker-Planck systems. 92j:35183 

Zheng, Song Mu see Elliott, Charles M., 92g:35214 


Items with secondary classifications in 35Q99 


Abarbanel, Saul (with Gottlieb, David) Spurious frequencies as a result of numerical 
boundary treatments. (see 92a:00036) 

Abeyaratne, Rohan (with Knowles, James K.) Implications of viscosity and strain-gradient 
effects for the kinetics of propagating phase boundaries in solids. 92m:73011 

Aitaliev, Sh. M. (with Alekseeva, L. A.; Dil’dabaev, Sh. A.; Zakir'yanova, G. K.) A regular 
representation of Kirchhoff and Somigliana formulas for the nonstationary dynamics of 
anisotropic media on wave fronts. (Russian) 92f:73020 

Alekseeva, L. A. (».th Zakir'yanova, G. K.) Nonstationary equations of motion of 
anisotropic media in a space of generalized functions. The Gauss formula. (Russian. 
Kazakh summary) 92g:73029 

— see also Aitaliev, Sh. M.; et al., 92:73020 

Alikakos, Nicholas D. (with Bates, Peter W.; Fusco, Giorgio) Slow motion manifolds for a 
class of singular perturbation problems: the linearized equations. 92i:35068 

Andreev, V. K. A group classification of equations of one-dimensional motions of a gas in 
Lagrangian coordinates. (Russian) 92a:76074 

Arkeryd, Leif (with Cercignani, Carlo; Iliner, Reinhard) Measure solutions of the steady 
Boltzmann equation in a slab. 92m:82109 

Bardos, Claude Kinetic and macroscopic equations. 92b:82101 

Bates, Peter W. see Alikakos, Nicholas D.; et al., 92i:35068 

Baumann, Gerd (with Freyberger, M.; Gléckle, W. G.; Nonnenmacher, T. F.) Similarity 
solutions in fragmentation kinetics. 92i:82136 

Belleni-Morante, Aldo (with Fasano, A.; Primicerio, Mario) Outgassing and mass exchange 
between two surfaces. 92k:80005 

Bellomo, N. (with Lachowicz, Mirostaw) Some mathematical results on the asymptotic 
behaviour of the solutions to the initial value problem for the Enskog equation. 
92a:35021 

— (with Lachowicz, Miroslaw) On the asymptotic theory of the Boltzmann and Enskog 
equations: a rigorous H-theorem for the Enskog equation. 92h:82095 

— (with Gustafsson, T.) The discrete Boltzmann equation: a review of the mathematical 
aspects of the initial and initial-boundary value problems. 92h:82096 

Bénilan, Philippe (with Blanchard, Dominique; Ghidouche, Hamid) Ona nonlinear system 
for shape memory alloys. 92£:35060 

Bergé, L. (with Pelletier, Guy; Pesme, D.) Collapsing solutions of the Zakharov equations 
with anisotropic contraction rates. 92g:76085 

Blanchard, Dominique see Bénilan, Philippe; et al., 92f:35060 

Blaquiére, A. Controllability of a Fokker-Planck equation, the Schrédinger system, and a 
related stochastic optimal control. 92k:93021 

Blokhin, A. M. (with Druzhinin, I. Yu.) Well-posedness of some linear problems on the 
stability of strong discontinuities in yhydrody ics. (Russian) 92¢e:76028 

Bondar’, T. A. Stability of an adiabatic noncirculating chemical reactor. (Russian) 
92k:80014 

Bouchut, Francois Global weak solution of the Vlasov-Poisson system for smali electrons 
mass. 92k:82066 

Brenier, Yann Polar factorization and monotone rearrangement of vector-valued functions. 
92d:46088 

Bressan, A., Jr. Blowup asymptotics for the reactive-Euler gas model. 92j:35017 

Brezzi, Franco (with Markowich, Peter A.) The three-dimensional Wigner-Poisson 
problem: existence, uniqueness and approximation. 92b:82118 

Brind, R. J. (with Wickham, G. R.) Near-field behaviour of the fundamental elastodynamic 
solutions for a semi-infinite homogeneous isotropic elastic solid. 92c:73035 

Busoni, Giorgio (with Palczewski, Andrzej) Stationary Boltzmann’s equation with a source 
term. 92h:82098 

Cabannes, Henri On the initial-value problem in discrete kinetic theory. 92b:82102 

— Solution globale de l’équation de Boltzmann discréte avec collisions multiples. (English 
summary) [Global solution of the discrete Boltzmann equation with multiple collisions] 
92i:82092 

Cai, Heng Jin (with Chen, Pei Ren) Exact solution to linear Vlasov equation and 
discussions on Landau damping, instabilities and resonant interactions. 92d:82098 

Campbell, Sue Ann (with Holmes, Philip) Bifurcation from O(2) symmetric heteroclinic 
cycles with three interacting modes. 92i:58132 

Carbonaro, Bruno (with Russo, Remigio) Singularity problems in linear elastodynamics. 
92h:73012 

Carbonaro, P. Infinite Lie groups of point transformations leaving invariant the linear 
equation which describes in the hodograph plane the isentropic one-dimensional gas flow. 
92}:76081 

(Case, Kenneth M.) see Modern mathematical methods in transport theory, 92h:82112 

Cercignani, Carlo Mathematical models in rarefied gas dynamics. 92m:76120 

— On the initial-boundary value problem for the Boltzmann equation. 92m:82114 

— see also Arkeryd, Leif; et al., 92m:82109 

Chemin, Jean-Yves Dynamique des gaz a masse totale finie. (English summary) [Dynamics 
of gases with finite total mass] 92a:76075 

Chen, Pei Ren see Cai, Heng Jin; et al., 924:82098 

Cherniga, R. M. Exact solutions of traveling wave type of a nonlinear problem of the 
melting and vaporization of a metal. (Russian) (see 92b:35011) 

Chopik, V.1I. (with Mironyuk, P. I.) Conditional invariance and reduction of the two- 
dimensional Khokhlov-Zabolotskaya equation. (Russian) (see 92b:35011) 

CieSlitiski, Jan Nonisospectral deformations of the Heisenberg ferromagnet equation. 
92a:82083 








Craig, Walter (with Kappeler, Thomas; Strauss, Walter Alexander) Infinite gain of 
regularity for dispersive evolution equations. (see 92c:35002) 

Daniel, Muthiah (with Kruskal, Martin D.; Lakshmanan, M.; Nakamura, Katsuhiro) 
Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and 
transverse field: nonintegrability and chaos. 92m:82090 

Dautray, Robert Linear partial differential equations and nuclear energy. (see 91m:00042) 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 638 


Denisenko, A. N. (with Zhukovskii, A. N.) The method of least squares for computations of 
mass exchange in gas-static porous bearings. (Russian) (see 92d:00021) 

Desai, Rashmi C. see Puri, Sanjay; et al., 92d:58193 

Dil‘dabaev, Sh. A. see Aitaliev, Sh. M.; et al., 92f:73020 

DiPerna, R. J. (with Lions, Pierre-Louis; Meyer, Yves) L? regularity of velocity averages. 
(French summary) 92g:35036 

Dolbeault, Jean Stationary states in plasma physics: Maxwellian solutions of the Vlasov- 
Poisson system. 92g:82110 

Druzhinin, I. Yu. see Blokhin, A. M., 92e:76028 

Dunin, S. Z. (with Maksimov, G. A.) Propagation of impulses in media with small 
dispersion of velocities and with a relaxation time spectrum of the form 1/t. Exact 
solution. (Russian) 92f:73021 

E, Wei Nan Homogenization of linear and nonlinear transport equations. 92k:35026 

Edelen, Dominic G. B. Monge-Ampére waves in a 1-dimensional elastic medium. 
92k:73024 

Elezovi¢, Neven (with Mikeli¢é, Andro) On the stochastic Cahn-Hilliard equation. 
92h:35251 

Elizarova, T. G. (with Sheretov, Yu. V.) Properties of solutions of shock-wave type for 
quasi-gas-dynamic equations. (Russian) 92m:76082 

Elliott, Charles M. (with Mikeli¢, Andro) Existence for the Cahn-Hilliard phase separation 
model with a nondifferentiable energy. 92k:35155 

Elton, Bracy H. (with Levermore, C. David; Rodrigue, Garry H.) Lattice Boltzmann 
methods for some 2-D nonlinear diffusion equations: computational results. 92d:82087 

Esteban, Maria J. (with Perthame, Benoit) On the modified Enskog equation for elastic 
and inelastic collisions. Models with spin. (French summary) 92i:82094 

Fabrizio, Mauro (with Lazzari, Barbara) On the existence and the asymptotic stability of 
solutions for linearly viscoelastic solids. 92k:73040 

Fasano, A. see Belleni-Morante, Aldo; et al., 92k:80005 

Feng, Kang (with Qin, Meng Zhao) Hamiltonian algorithms for Hamiltonian systems and a 
comparative numerical study. 92¢:65104 

Forestier, Alain (with Le Floch, Philippe) Multivalued solutions to some nonlinear and 
non-strictly hyperbolic systems. 92m:35167 

Freyberger, M. see Baumann, Gerd; et al., 92i:82136 

Frosali, Giovanni Functional-analytic techniques in the study of time-dependent electron 
swarms in weakly ionized gases. 92m:82132 

Fusco, Giorgio see Alikakos, Nicholas D.; et al., 92i:35068 

Galas, F. (with Richter, E. W.) Exact similarity solutions of ideal MHD equations for plane 
motions. 92¢:76063 

Gavrikov, M. B. Aperiodic oscillations of a cold plasma. (Russian. English summary) 
92k:76088 

Ghidouche, Hamid see Bénilan, Philippe; et al., 92f:35060 

Giga, Yoshikazu see Yoshida, Zensho, 92a:35120 

Gilbert, R. P. (with Shi, Peter; Shillor, Meir) A quasi-static contact problem in linear 
thermoelasticity. (Italian summary) 92m:73109 

Gléckle, W. G. see Baumann, Gerd; et al., 92i:82136 

Golse, Francois Particle transport in nonhomogeneous media. (see 92a:82003) 

Gottlieb, David see Abarbanel, Saul, (92a:00036) 

(Greenberg, William) see Modern mathematical methods in transport theory, 92h:82112 

Griniv,O.O. The central limit theorem for the Burgers equation with random initial 
conditions. (Russian) (see 92c:00016) 

Guo, Bo Ling see Zhou, Yu Lin; et al., 92i:82030 

Gustafsson, T. see Bellomo, N., 92h:82096 

Hernandez, Diego Bricio Diffusion processes in nonequilibrium thermodynamics. (Italian 
summary) 92h:82093 

Herrero, Miguel A. (with Velazquez, Juan J. L.) Stability analysis of a closed ther- 
mosyphon. 92i:76091 

Holmes, Philip see Campbell, Sue Ann, 92i:58132 

Hsiao, George C. (with Stephan, Ernst P.; Wendland, Wolfgang L.) On the Dirichlet 
problem in elasticity for a domain exterior to an arc. 92e:73010 

Huang, Sheng Qing see Liu, Rong Sheng; et al., 92c:82101 

Ignaczak, Jézef Domain of influence results in generalized thermoelasticity—a survey. 
92e:73004 

Iliner, Reinhard see Arkeryd, Leif; et al., 92m:82109 

Il'yashenko, Yu. S. The concept of minimal attractor and maximal attractors of partial 
differential equations of the Kuramoto-Sivashinsky type. 92k:58165 

losif'yan, G. A. see Oleinik, O. A.; et al., 92i:73009 

Kalamkarov, A. L. (with Kudryavtsev, B. A.; Parton, V. Z.) New integral transformations 
in boundary value problems for laminated composites of periodic structure. (Russian) 
92m:73033 

Kalinichenko, M. I. (with Karamzin, Yu. N.; Trofimov, V. A.) A model of the macrokinet- 
ics of gas-phase reactions under optic radiation. (Russian) 92k:80016 

Kappeler, Thomas see Craig, Walter; et al., (92c:35002) 

Kapral, Raymond see Puri, Sanjay; et al., 92d:58193 

Karamzin, Yu. N. see Kalinichenko, M. L.; et al., 92k:80016 

Kartashova, E. A. Partitioning of ensembles of weakly interacting dispersing waves in 
resonators into disjoint classes. 92¢:11153 

Kiosek-Dygas, M. M. see Naeh, T.; et al., 92i:60115 

Knowles, James K. see Abeyaratne, Rohan, 92m:73011 

Kruskal, Martin D. see Daniel, Muthiah; et al., 92m:82090 

Kudryashov, N. A. (with Savina, T. V.) Invariant solutions of an equation of gas filtration in 
a porous medium for large Reynolds numbers. (Russian. English summary) 92f:76085 

Kudryavtsev, B. A. see Kalamkarov, A. L.; et al., 92m:73033 

Kuperin, Yu. A. A selfadjoint dilation of the linear Boltzmann operator. (see 92c:00015) 

Lachowicz, Mirostaw see Bellomo, N., 92a:35021 and 92h:82095 

Lakshmanan, M. see Daniel, Muthiah; et al., 92m:82090 

Lami Dozo, E. Sur les équations de la plasticité. [On the equations of plasticity] 92k:73033 

Larsson, Jonas Hermitian structure for the linearized Vlasov-Poisson and Vlasov-Maxwell 
equations. 92a:82121 

Latyshev, Anatolii Vasil’evich (with Yushkanov, A. A.) Exact solution of the Boltzmann 
equation with a BGK collision operator in a problem of weak evaporation. (Russian. 





639 1992 


English summary) 92g:82093 

— An analytic solution of the Boltzmann equation with a collision operator of mixed type. 
(Russian) 92c¢:82092 

Lavrent'ev, M. M., Jr. A priori smoothness of solutions for a number of equations of 
variable type. (Russian. English summary) 92f:35087 

Lazzari, Barbara see Fabrizio, Mauro, 92k:73040 

Le Floch, Philippe see Forestier, Alain, 92m:35167 

Legowski, Z. (with Wiodarczyk, E.) Application of the method for improving the 
smoothness of the solutions to one-dimensional initial-boundary value problems of gas 
dynamics. (Russian and Polish summaries) 92m:76114 

Levermore, C. David see Elton, Bracy H.; et al., 924:82087 

Lichnerowicz, André La premiére valeur propre de l’opérateur de Dirac pour une variété 
kahlérienne et son cas limite. (English summary) [The first eigenvalue of the Dirac 
operator for a Kahler manifold and the limiting case] 92a:58147 

Lim, Chee Seng Semi-Cherenkov and bi-Cherenkov problems. 92j:78016 

Lions, Pierre-Louis see DiPerna, R. J.; et al., 92g:35036 

Liu, Rong Sheng (with Huang, Sheng Qing) Parameter problems for the slab model with 
partially reflecting boundary conditions. (Chinese) 92c:82101 

Lodovici, C. (with Misici, Luciano; Pacelli, G.) The direct and inverse problem for two- 
dimensional turbulent diffusion. 92g:86003 

Luca, I. A uniqueness theorem in anisotropic viscothermoelasticity of integral type. 
(Russian and Polish summaries) 92i:73047 

Maksimov, G. A. see Dunin, S. Z., 92f:73021 

Malovichko, V. A. Solvability of nonlocal boundary value problems for some systems of 
evolution differential equations. (Russian. Ukrainian summary) 92b:35101 

Maremonti, Paolo (with Russo, Remigio) On the wave propagation in finite elasticity. 
92k:73025 

Markowich, Peter A. see Brezzi, Franco, 92b:82118 

Matkowsky, Bernard J. see Naeh, T.; et al., 92i:60115 

Men’shov, I. S. Generalized problem on the decay of an arbitrary discontinuity. (Russian) 
92j:76082 

Meyer, Yves see DiPerna, R. J.; et al., 92g:35036 

Mikeli¢, Andro see Elezovi¢, Neven, 92h:35251 and Elliott, Charles M., 92k:35155 

Millonas, Mark M. (with Reichl, Linda E.) Stochastic chaos in a class of Fokker-Planck 
equations. 92m:82100 

Milota, Jaroslav Mathematical description of viscoelasticity. (see 92m:35004) 

Mironyuk, P. 1. see Chopik, V. I., (92b:35011) 

Misici, Luciano see Lodovici, C.; et al., 92g:86003 

Montanaro, Adriano On tensor functions whose gradients have some skew-symmetries. 
(Italian summary) 92i:73024 

Mulone, G. (with Salemi, F.) Some continuous dependence theorems in MHD with Hall 
and ion-slip currents in unbounded domains. (Italian summary) 92i:76101 

Naeh, T. (with Ktosek-Dygas, M. M.; Matkowsky, Bernard J.; Schuss, Z.) Uniform solution 
of Kramers’ problem by a direct approach. 92i:60115 

Nakamura, Katsuhiro see Daniel, Muthiah; et al., 92m:82090 

Natterer, Frank An inverse problem for a transport equation and integral geometry. 
92d:35302 

Nazarova, T. M. Polynomial conservation laws for equations of gas dynamics. (Russian) 
(see 92e:35003) 

Netas, Jindtich (with Novotny, Antonin; Sverak, Viadimir) Uniqueness of solutions to the 
systems for thermoelastic bodies with strong viscosity. 92m:73025 

Nonnenmacher, T. F. see Baumann, Gerd; et al., 92i:82136 

Novotny, Antonin see Netas, Jindiich; et al., 92m:73025 

Oggioni, S. (with Spiga, Giampiero) On exact solutions to a discrete-velocity model of the 
extended kinetic equations. 924:82093 

Oleinik, O. A. (with losif'yan, G. A.; Shamaev, A. S.) %& MaTemaTuueckHe 3afa4” TeopHu 
CHJIbBHO HEOMHOPOAHBIX ynpyrux cpeg. (Russian) [Mathematical problems in the theory of 
strongly inhomogeneous elastic media] 92i:73009 

Oliveri, Francesco The substitution principle in magnetogasdynamics: Lie group analysis 
approach. 92m:76154 

Orsingher, Enzo Random motions governed by third-order equations. 92c:60110 

Pacelli, G. see Lodovici, C.; et al., 92g:86003 

Palczewski, Andrzej (with Wennberg, B.) The Boltzmann equation with weakly inhomoge- 
neous data and a source term. 924:82094 

— see also Busoni, Giorgio, 92h:82098 

Panasenko, G. P. Multicomponent averaging of processes in strongly inhomogeneous 
structures. (Russian) 92h:35017 

Parton, V. Z. see Kalamkarov, A. L.; et al., 92m:73033 

Pelletier, Guy see Bergé, L.; et al., 92g:76085 

Perthame, Benoit see Esteban, Maria J., 92i:82094 

Pesme, D. see Bergé, L.; et al., 92g:76085 

Pogu, Mare (with Tournemine, Georges) Une méthode fonctionnelle de résolution 
approchée d’un probleme transsonique. (English summary) [Functional approach to the 
approximate solution of a transonic problem] 92h:76056 

(Polewczak, Jacek) see Modern mathematical methods in transport theory, 92h:82112 

Pospelov, V. L. Stability of the stationary solution of a problem in magnetohydrody 
(Russian) 92b:76046 

Poupaud, Frédéric Solutions stationnaires des équations de Vlasov-Poisson. (English 
summary) [Stationary solutions of Vlasov-Poisson equations] 92b:82120 

Primicerio, Mario see Belleni-Morante, Aldo; et al., 92k:80005 

Pucci, Edvige (with Saccomandi, Giuseppe) On the weak symmetry groups of partial 
differentia! equations. 92k:35012 

Puri, Sanjay (with Desai, Rashmi C.; Kapral, Raymond) Coupled map model with a 
conserved order parameter. 92d:58193 

Qin, Guo Qiang see Wang, Zai Hua; et al., 92f:82077 

Qin, Meng Zhao see Feng, Kang, 92c:65104 

Raikov, George D. The spectrum of a linear magnetohydrodynamic model with cylindrical 
symmetry. 92j:76107 

Reichl, Linda E. see Millonas, Mark M., 92m:82100 

Reitich, Fernando Singular solutions of a transmission problem in plane linear elasticity for 








35Q Equations of mathematical physics and other areas of application 


wedge-shaped regions. 92m:73046 

Richter, E. W. see Galas, F., 92e:76063 

Rodrigue, Garry H. see Elton, Bracy H.; et al., 92d:82087 

Riprich, Wolfgang Operator-theoretic functional-analytic methods in the theory of partial 
differential equations in R". 92k:47139 

Russo, Remigio see Carbonaro, Bruno, 92h:73012 and Maremonti, Paolo, 92k:73025 

Saccomandi, Giuseppe see Pucci, Edvige, 92k:35012 

Sakabekov, A. Boundary conditions for a system of Boltzmann moment equations. 
(Russian. Kazakh summary) 92g:82095 

— The moment method for the nonlinear Boltzmann equation. (Russian) 92g:82096 

Salemi, F. see Mulone, G., 92i:76101 

Savina, T. V. see Kudryashov, N. A., 92£:76085 

Schaeffer, David G. (with Shearer, Michael) Loss of hyperbolicity in yield vertex plasticity 
models under nonproportional loading. 92f:73022 

Schaeffer, Jack Global existence of smooth solutions to the Vlasov-Poisson system in three 
dimensions. 92g:82113 

Schuss, Z. see Naeh, T.; et al., 92i1:60115 

Shamaev, A. S. see Oleinik, O. A.; et al., 92i:73009 

Shearer, Michael see Schaeffer, David G., 92f:73022 

Sheretov, Yu. V. see Elizarova, T. G., 92m:76082 

Shi, Peter see Gilbert, R. P.; et al., 92m:73109 

Shillor, Meir see Gilbert, R. P.; et al., 92m:73109 

Shtelen’, V. M. (with Stognii, V. I.) Exact and approximate solutions of the Fokker-Planck 
equation for a laser model. (Russian. English summary) 92m:82102 

— see also Stognii, V. 1., 92g:82084 

(Shtern, A. I.) see Temam, Roger, 92g:73040 

Shtilman, L. (with Sivashinsky, G.) On the hexagonal structure of cellular flames. 
92c:80020 

Sil'vestrov, V. V. Fundamental mixed problem of elasticity theory on a two-sheeted surface. 
(Russian) 92m:73040 

Sivashinsky, G. see Shtilman, L., 92c:80020 

Spiga, Giampiero see Oggioni, S., 92d:82093 

Sprekels, Jiirgen Global solutions in one-dimensional magr hermoviscoelasticity. 
92g:73073 

— (with Zheng, Song Mu) Optimal control problems for a thermodynamically consistent 
model of phase-field type for phasé transitions. 92m:35033 

Stephan, Ernst P. see Hsiao, George C.; et al., 92e:73010 

Stognii, V. 1. (with Shtelen’, V.M.) Symmetry and exact solutions of certain Fokker-Planck 
equations. (Russian. Ukrainian summary) 9 

— see also Shtelen’, V. M., 92m:82102 

Strauss, Walter Alexander see Craig, Walter; et al., (92c:35002) 

Sverak, Viadimir see Netas, Jindtich; et al., 92m:73025 

Tan, Shao Bin see Zhou, Yu Lin; et al., 92i:82030 

Temam, Roger * Matematuueckue 3aa4H TeopHu MlacrH4HocTu. (Russian) [Mathematical 
problems in plasticity theory] 92g:73040 

Toscani, Giuseppe (with Walus, Wiodzimierz) The initial-boundary value problem for the 
four-velocity plane Broadwell model. 92i:82098 

Totaro, Silvia Upper bounds and approximation for the solution of a nonlinear particle 
transport problem with Maxwell type boundary conditions. 92g:82105 

Tournemine, Georges see Pogu, Marc, 92h:76056 

Trofimov, V. A. see Kalinichenko, M. L.; et al., 92k:80016 

Velazquez, Juan J. L. see Herrero, Miguel A., 92i:76091 

Volkov, Lyuben G. Conservation laws of gas dynamics in Lagrangian variables. (Russian) 
92k:76076 

Walus, Wiodzimierz see Toscani, Giuseppe, 92i:82098 

Wang, Zai Hua (with Yang, Ming Zhu; Qin, Guo Qiang) Positive solution to a neutron 
transport equation with a parameter. 92f:82077 

Wendland, Wolfgang L. see Hsiao, George C.; et al., 92e:73010 

Wennberg, B. see Palczewski, Andrzej, 924:82094 

Wickham, G. R. see Brind, R. J., 92c:73035 

Whodarczyk, E. see Legowski, Z., 92m:76114 

Xu, Jian Jun’ On regular-tip solutions for steady dendrite growth. 92f:80009 

Yamazaki, Mitsuru Existence globale pour les modéles discrets de l"équation de Boltzmann 
dans un tube mince infini. (English summary) [Global existence for solutions of discrete 
models of the Boltzmann equation in an infinite thin tube] 92h:82105 

Yang, Ming Zhu see Wang, Zai Hua; et al., 92:82077 

Yong, Jiong Min (with Zheng, Song Mu) Feedback stabilization and optimal control for the 
Cahn-Hilliard equation. 92h:93077 

Yoshida, Zensho (with Giga, Yoshikazu) Remarks on spectra of operator rot. 92a:35120 

Yuan, Miao En Global solution of the Boltzmann equation for interparticle potentials of the 
form U(r) =r-‘, s > 2. (Chinese summary) 92e:82052 

— Solution of the equation Q( f, f) = 0 for Ianiro and Triolo model Boltzmann equation. 
(Chinese summary) 92k:82052 

Yudovich, V. I. Cosymmetry, degeneration of solutions of operator equations, and the onset 
of filtration convection. (Russian) 92m:47157 

Yushkanov, A. A. see Latyshev, Anatolii Vasil‘evich, 92g:82093 

Zakir'yanova, G. K. see Aitaliev, Sh. M.; et al., 92f:73020 and Alekseeva, L. A., 92g:73029 

Zheng, Song Mu see Yong, Jiong Min, 92h:93077 and Sprekels, Jiirgen, 92m:35033 

Zhou, Yu Lin (with Guo, Bo Ling; Tan, Shao Bin) Existence and uniqueness of smooth 
solution for system of ferro-magnetic chain. 92i:82030 

Zhukovskii, A. N. see Denisenko, A. N., (92d:00021) 

Znamenskii, V. V. Singular solutions of a three-dimensional equation of ablation. (Russian) 
92d:76031 

(Zweifel, Paul F.) see Modern mathematical methods in transport theory, 92h:82112 





Items listed otherwise than by author 


Blacksburg, VA * Modern mathematical methods in transport theory. 92h:82112 
Conference: 


Transport Theory * Modern mathematical methods in transport theory. 92h:82112 





35Q99 


Modern mathematical methods in transport theory * Modern mathematical methods in 
transport theory. 92h:82112 

Symposium: 
Case, Kenneth M. * Modern mathematical methods in transport theory. 92h:82112 
Zweifel, Paul * Modern mathematical methods in transport theory. 92h:82112 


35Rxx Miscellaneous topics involving partial differential 
equations {For equations on manifolds, see 
58Gxx; for manifolds of solutions, see 58Bxx; 
for stochastic PDEs, see also 60H15.} 


35RO05 PDE with discontinuous coefficients or data 


Aref'ev, V. N. On the smoothness of solutions of second-order hyperbolic equations with 
discontinuous coefficients. (Russian) 92g:35217 

Bai, Dong Hua (with Tan, Qi Jian) Initial-boundary value problems for quasilinear 
parabolic equations with discontinuous coefficients. (Chinese. English summary) 
92b:35161 

Boccardo, Lucio (with Gallouét, Thierry) Nonlinear elliptic and parabolic equations 
involving measure data. 924:35286 

Carl, Siegfried (with Heikkila, Seppo) An existence result for elliptic differential inclusions 
with discontinuous nonlinearity. 92m:35268 

De Simon, Luciano (with Torelli, Giovanni) The Cauchy problem for a class of linear 
partial differential equations with discontinuous coefficients. (Italian. English summary) 
92g:35218 

Dzhenaliev, M. T. Solvability of boundary value problems for linear loaded equations with 
nonregular coefficients. (Russian) 92h:35226 

Gallouét, Thierry see Boccardo, Lucio, 92d:35286 

Heikkilé, Seppo see Carl, Siegfried, 92m:35268 

Mokin, Yu. I. Calculation of the Green functions for elliptic operators with discontinuous 
coefficients. (Russian) 92i:35121 

Mysovskikh, P.I. Generalized solutions of some degenerate equations of parabolic type. 
(Russian) 92d:35287 

Rakotoson, Jean-Michel A compactness result for quasilinear problems: application to 
parabolic equations with measures as data. 92c:35117a 

— A compactness lemma for elliptic problem with measures as data. 92¢:35117b 

Shi, Xue Yu Boundary value problems for a class of elliptic equations with discontinuous 
coefficients in a half-space. (Chinese. English summary) 92d:35288 

Tan, Qi Jian see Bai, Dong Hua; et al., 92b:35161 

Torelli, Giovanni see De Simon, Luciano, 92g:35218 

Wang, Xue Feng! The Cauchy problem for a class of quasilinear parabolic equations with 
discontinuous initial values. (Chinese. English summary) 92g:35219 

Wilcox, Calvin H. The Cauchy problem for the wave equation with distribution data: an 
elementary approach. 92h:35227 


Items with secondary classifications in 35R05 


Anita, Sebastian? Existence and uniqueness for the population dynamics with nonlinear 
diffusion. 92g:35101 

Bai, Dong Hua (with Tan, Qi Jian) Local solutions to a class of free boundary problems. 
(Chinese. English summary) 924:35307 

Bertsch, Michiel (with Klaver, M. H. A.) On positive solutions of Au + Af(u) = 0 with f 
discontinuous. 92h:35075 

Demengel, Francoise (with Serre, Denis) Nonvanishing singular parts of measure valued 
solutions for scalar hyperbolic equations. 924:35186 

Di Gironimo, Patrizia (with Transirico, Maria) Second order elliptic equations in weighted 
Sobolev spaces on unbounded domains. (Italian summary) 92k:35075 

— (with Transirico, Maria) Existence and uniqueness results for the Dirichlet problem in 
unbounded domains. (Italian summary) 92m:35064 

Feireisl, Eduard A note on uniqueness for parabolic problems with discontinuous nonlinear- 
ities. 92d:35319 

— (with Norbury, John) Some existence, uniqueness and nonuniqueness theorems for 
solutions of parabolic equations with discontinuous nonlinearities. 92g:35139 

Ford, Richard L. Generalized potentials and obstacle scattering. 92e:35118 

Frigon, Marlene (with Saccon, Claudio) Heat equations with discontinuous nonlinearities 
on convex and nonconvex constraints. 92k:35167 

Heikkila, Seppo On an elliptic boundary value problem with discontinuous nonlinearity. 
92g:35071 

Jarusek, Jiti On the regularity of solutions of a thermoelastic system under noncontinuous 
heating regimes. (Czech summary) 92a:73009 

— On the regularity of solutions of a thermoelastic system under noncontinuous heating 
regimes. II. (Czech summary) 92¢:35043 

Kamynin, L.I. Applications of parabolic Pagni potentials to boundary value problems in 
mathematical physics. II. (Russian) 92j:35079 

Klaver, M. H. A. see Bertsch, Michiel, 92h:35075 

Lafon, F. (with Oberguggenberger, Michael) Generalized solutions to symmetric hyperbolic 
systems with discontinuous coefficients: the multidimensional case. 92h:35039 

Lin, Zhi Gui The diffraction problem and Verigin problem of quasilinear parabolic equation 
in divergence form for the one-dimensional case. 92m:35221 

Mizoguchi, Noriko Existence of nontrivial solutions of partial differential equations with 
discontinuous nonlinearities. 92k:35104 

Nizhnik, L. P. (with Taraborkin, L. A.) Selfadjoint operators generated by nonhomoge- 
neous elliptic problems with discontinuous boundary conditions and conjugation condi- 
tions. (Russian. Ukrainian summary) 92e:47085 

Norbury, John see Feireisl, Eduard, 92g:35139 

Oberguggenberger, Michael The Carleman system with positive measures as initial data— 
generalized sclutions. 92f:82055 

— see also Lafon, F., 92h:35039 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 640 


Pavlenko, V. N. On the existence of semiregular solutions of the first boundary value prob- 
lem for an equation of parabolic type with a discontinuous nonmonotone nonlinearity. 
(Russian) 92a:35169 

— The method of monotone operators for equations with discontinuous nonlinearities. 
(Russian) 92k:47124 

Radzhabov, N. R. Riemann-Hilbert boundary value problems for the second-order linear 
elliptic systems with singular coefficients. (see 92h:00020) 

Rakotoson, Jean-Michel Quasilinear elliptic probl with as data. 92e:35067 

Rasulov, M. A. Solution of the plane-radial flow of a fluid in piecewise-h layers. 
(Russian) 92a:76084 

Reiter, Edna see Rodrigue, Garry H., 92f:65151 

Rodrigue, Garry H. (with Reiter, Edna) An asymptotically induced domain decomposition 
method for parabolic boundary layer problems. 92f:65151 

Saccon, Claudio see Frigon, Marlene, 92k:35167 

Schatzman, Michelle Postprocessing of dispersive approximations to a hyperbolic problem. 
92b:35023 

Serre, Denis see Demengel, Francoise, 92d:35186 

Shevchenko, G. N. A problem with nonlocal boundary conditions and discontinuous 
conjugation conditions for a hyperbolic equation of the second kind. (Russian) (see 
92a:35004) 

Shishkin, G.I. Grid approximation of singularly perturbed boundary value probl with 
convective terms. 92h:65142 

Solonnikov, V. A. On a boundary value problem for the Navier-Stokes equations with 
discontinuous boundary data. (Italian summary) 92m:35214 

Tan, Qi Jian see Bai, Dong Hua; et al., 92d:35307 

Taraborkin, L. A. see Nizhnik, L. P., 92e:47085 

Transirico, Maria see Di Gironimo, Patrizia, 92k:35075 and 92m:35064 

Turo, Jan Global solvability of the mixed problem for first order functional partial 
differential equations. 92b:35164 

Vityuk, A. N. Properties of solutions of hyperbolic differential equations with a multivalued 
right-hand side. (Russian) 

Wang, Jun Yu A boundary value problem for a nonlinear ordinary differential equation 
involving a small parameter—the Riemann problem for a generalized diffusion equation. 
92¢:35059 

Xu, Deng Zhou (with Yao, Qing Liu; Zhang, Ji Hui) Degenerate elliptic problems with 
discontinuous nonlinearities. (Chinese. English summary) 92j:35074 

Yamazaki, Taeko On the L?(R”) well-posedness of some singular or degenerate partial 
differential equations of hyperbolic type. 92i:35088 

Yao, Qing Liu see Xu, Deng Zhou; et al., 92j:35074 

Zhang, Ji Hui see Xu, Deng Zhou; et al., 92j:35074 











35R10 Partial functional-differential or differential-difference 
equations, with or without deviating arguments 


Andreev, A. A. (with Shindin, I. P.) On the well-posedness of boundary value probl for 
a differential equation with involution of a special type. (Russian) (see 92d:35005) 

Besala, Piotr Observations on quasi-linear partial differential equations. 92f:35139 

Brandi, Primo (with Kamont, Zdzislaw; Salvadori, Anna) Differential and differential- 
difference inequalities related to mixed problems for first order partial differential- 
functional equations. 92e:35164 

— (with Kamont, Zdzistaw; Salvadori, Anna) Approximate solutions of mixed problems for 
first order partial differential-functional equations. 92¢:35165 

Chlebik, M. (with Kral, Josef) Removable singularities of the functional wave equation. 
(German and Russian summaries) 92f:35140 

Colli, Pierluigi (with Grasselli, Maurizio) An existence result for a hyperbolic phase 
transition problem with memory. 92k:35281 

Cztapitiski, Tomasz A boundary value problem for quasilinear hyperbolic differential- 
functional systems. 92h:35230 

— A boundary value problem for quasilinear hyperbolic systems of partial differential- 
functional equations of the first order. (Italian summary) 92h:35229 

— On the existence of generalized solutions of nonlinear first order partial differential- 
functional equations in two independent variables. 92h:35228 

Debnath, Lokenath see Wiener, Joseph, 92d:35290 

Gavrikov, A. I. Functional-integral equations and elliptic boundary value problems. 
(Russian) 92j:35184 

Grasselli, Maurizio see Colli, Pierluigi, 92k:35281 

Tlolov, M. The heat equation with deviating time argument. (Russian) 92f:35141 

Kamont, Zdzislaw see Brandi, Primo; et al., 92e:35164 and 92¢:35165 

Kral, Josef see Chiebik, M., 92£:35140 

Leszezytiski, Henryk General finite difference approximation to the Cauchy problem for 
nonlinear parabolic differential-functional equations. 92e:35166 

Lojczyk-Krélikiewicz, Irena Systems of parabolic differential-functional inequalities in 
arbitrary domains. (Polish summary) (see 92c:00013) 

Malec, Marian (with Selvaggi, R.; Sisto, I.) Functional-differential inequalities of parabolic 
type. 92i:35122 

Martin, R. H., Jr. (with Smith, Hal L.) Reaction-diffusion systems with time delays: 
monotonicity, invariance, comparison and convergence. 92b:35162 

Memory, Margaret C. Stable and unstable manifolds for partial functional-differential 
equations. 92a:35156 

Michalski, Marek W. Some boundary value probl 
noninteger order. 92i:35123 

Poorkarimi, Hushang see Shah, Swarupchand M.; et al., 92a:35157 

Salvadori, Anna see Brandi, Primo; et al., 92¢:35164 and 92e:35165 

Selvaggi, R. see Malec, Marian; et al., 92i:35122 

Shah, Swarupchand M. (with Poorkarimi, Hushang; Wiener, Joseph) Bounded solutions of 
retarded nonlinear hyperbolic equations. 92a:35157 

Shindin, I. P. see Andreev, A. A., (92d:35005) 

Sisto, I. see Malec, Marian; et al., 92i:35122 

Skubachevskii, A. L. (with Tsvetkov, E. L.) The second boundary value problem for elliptic 
differential-difference equations. (Russian) 92b:35163 








for a partial differential equation of 





641 1992 


Smith, Hal L. see Martin, R. H., Jr., 92b:35162 

Sosulski, Wiadystaw On neutral partial functional-differential inclusions of hyperbolic type. 
92h:35231 

Tsvetkov, E. L. see Skubachevskii, A. L., 92b:35163 

Turo, Jan Global solvability of the mixed problem for first order functional partial 
differential equations. 92b:35164 

Wiener, Joseph Boundary value problems for partial differential equations with piecewise 
constant delay. 924:35289 

— (with Debnath, Lokenath) Partial differential equations with piecewise constant delay. 
924:35290 

— see also Shah, Swarupchand M.; et al., 92a:35157 

Wa, Jian Hong Semigroup and integral form of a class of partial differential equations with 
infinite delay. 92k:35282 

Xiang, Xiao Ling (with Yang, Zheng Pin) Semilinear parabolic problem with deviation 
argument in the time variable. (Chinese summary) 924:35291 

Yang, Zheng Pin see Xiang, Xiao Ling; et al., 92d:35291 

Items with secondary classifications in 35R10 

Anikonov, Yu. E. Inverse problems in mathematical physics and biology. (Russian) 
92h:35233 

Byszewski, Ludwik Strong maximum and minimum principles for parabolic functional- 
differential problems with initial inequalities u(to, x) S )K . 92k:35041a 

— Strong maximum and minimum principles for parabolic functional-differential problems 
with nonlocal inequalities [w/ (to, x) — K/] + 5; hi(x)[u/(Tj, x) — K*] $)0. 92k:35041b 

— Strong maximum and minimum principles for parabolic problems with nonlocal 
inequalities. 92¢:35025 

Chen, Zhen Tao A class of Volterra reaction-diffusion equations. (Chinese. English 
summary) 92m:35130 

Feireisl, Eduard A nonlinear functional equation on a torus with applications to the time- 
periodic problems in viscoelasticity. (Portuguese summary) 92a:58121 

Fitzgibbon, William E. (with Parrott, Mary E.) Linearized stability of semilinear delay 
equations in fractional power spaces. 92¢:34091 

Gopalsamy, Kondalsamy (with Weng, Pei Xuan) On the dynamics of a periodic delay 
logistic equation with diffusion. 92k:35157 

Grasselli, Maurizio (with Kabanikhin, S. I.; Lorenzi, A.) An inverse hyperbolic integrodif- 
ferential problem arising in geophysics. II]. 92k:35286 

Gupta, Chaitan P. (with Kwong, Ying C.; Netas, Jindfich) Nonresonance conditions for the 
strong solvability of a general elliptic partial differential operator. 92h:35061 

Gusarenko, S. A. The generalized Volterra property and its applications to a linear 
functional-partial differential equation. (Russian) (see 91e:34070) 

Hale, Jack K. (with Verduyn Lunel, S.M.) Averaging in infinite dimensions. 92d:34128 

He, Meng Xing Periodic solutions of partial functional-differential equations. (Chinese) 
92¢:35011 

Helminck, G. F. A geometric construction of solutions of matrix hierarchies. 92k:58113 

Hirano, Norimichi On a forced quasilinear hyperbolic Volterra equation with fading 
memory. 92k:45025 

Hokkanen, Veli-Matti On some nonlinear dynamic systems. (see 92m:49004) 

Hosoya, Masanori (with Yamada, Yoshio) On some nonlinear wave equations. I. Local 
existence and regularity of solutions. 92i:35084 

— (with Yamada, Yoshio) On some nonlinear wave equations. II. Global existence and 
energy decay of solutions. 92i:35085 

Ismagulova, R.S. (with Umbetzhanov, D. U.) An almost multiperiodic solution of a 
system of integro-partial differential equations. (Russian. English and Kazakh summaries) 
92k:45026 

Kabanikhin, S.1. see Grasselli, Maurizio; et al., 92k:35286 

Kamont, Zdzislaw (with Kwapisz, Marian; Zacharek, S.) On difference-functional 
inequalities related to some classes of partial differential-functional equations. 92e:39001 

— (with Zacharek, S.) Line method approximations to the initial-boundary value problem 
of Neumann type for parabolic differential-functional equations. 92j:65182 

— (with Przadka, K.) Difference methods for first order partial differential-functional 
equations with initial-boundary conditions. (Russian summary) 92h:65190 

Kartsatos, Athanassios G. On the method of steps for time-dependent delay equations in 
general Banach spaces. 924:34150 

Kashchenko, S. A. Spatially heterogeneous structures in the simplest models with delay and 
diffusion. (Russian. English summary) 92j:92015 

Kowalewski, Adam Optimality conditions for a parabolic time delay system. 92¢:49035 

Kurbanov, I. O. Solvability of linear Maxwell equations with memory. (Russian. Ukrainian 
summary) 924:35283 

Kwapisz, Marian see Kamont, Zdzistaw; et al., 92e:39001 

Kwong, Ying C. see Gupta, Chaitan P.; et al., 92h:35061 

Leszczyniski, Henryk Convergence of one-step difference methods for nonlinear parabolic 
differential-functional systems with initial-boundary conditions of Dirichlet type. 
92j:65135 

Levi, D. (with Ragnisco, O.) The inhomogeneous Toda lattice: its hierarchy and Darboux- 
Backlund transformations. 92e:58095 

Lizana Peta, Marcos Attractors for systems of functional-differential equations. 92k:58240 

Lojczyk-Krélikiewicz, Irena The unbounded solutions to systems of differential-functional 
inequalities of parabolic type. (Polish summary) 92g:35248 

Lorenzi, A. see Grasselli, Maurizio; et al., 92k:35286 

Mishev, D. P. Necessary and sufficient conditions for oscillation of neutral type of parabolic 
differential equations. 92m:35111 

Muiioz Rivera, Jaime Edilberto Remarks on quasilinear evolutions equations. 92g:35141 

Netas, Jindtich see Gupta, Chaitan P.; et al., 92h:35061 

Parrott, Mary E. see Fitzgibbon, William E., 92c:34091 

Pelyukh, G. P. Solutions of systems of nonlinear functional equations that are continuous 
and bounded on the real axis. (Russian) 92a:39012 

Petzeltova, Hana The Hopf bifurcation theorem for parabolic equations with infinite delay. 
(Czech summary) 92m:34182 

Polatik, Peter Realization of any finite jet in a scalar semilinear parabolic equation on the 
ball in R>. 92g:35107 


35R Miscellaneous topics involving partial differential equations 


Przadka, K. see Kamont, Zdzislaw, 92h:65190 

Ragnisco, O. see Levi, D., 92e:58095 

Sforza, Daniela Parabolic integrodifferential equations with singular kernels. 92k:45028 

So, Joseph Wai-Hung (with Wu, Jian Hong) Topological dimensions of global attractors for 
semilinear PDEs with delays. 92g:58116 

Song, Kai Tai see Zhou, Li; et al., 92i:34099 

Sumin, V.1. Volterra functional-operator equations in a problem on the stability of the 
existence of global solutions of boundary value problems. (Russian) 92j:34125 

— Volterra functional-operator equations and stability of the existence of global solutions of 
boundary value problems. (Russian. Ukrainian summary) 92i:47082 

Umbetzhanov, D. U. see Ismagulova, R. S., 92k:45026 

Verduyn Lunel, S. M. see Hale, Jack K., 924:34128 

Vernole, Paola A nonhomogeneous Dirichlet problem for a delay differential equation. (see 
92m:47001) 

Wang, Sheng Hua Solutions to parametric equations with continuous energy in transport 
theory. (Chinese. English summary) 92k:82083 

Wegert, Elias On the global solvability of the diffusion equation of Satsuma and Mimura. 
(German and Russian summaries) 92j:35104 

Weng, Pei Xuan see Gopalsamy, Kondalsamy, 92k:35157 

von Wolfersdorf, Lothar Travelling wave solutions of a nonlinear diffusion equation with 
integral term. (German and Russian summaries) 92j:35103 

Wa, Jian Hong see So, Joseph Wai-Hung, 92g:58116 

Yamada, Yoshio see Hosoya, Masanori, 92i:35084 and 92i:35085 

Zacharek, S. see Kamont, Zdzisiaw; et al., 92e:39001 and 92j:65182 

Zhou, Li (with Song, Kai Tai) The effect of large time lags on Hopf bifurcation in prey- 
predator systems with time lags and migration. (Chinese) 92i:34099 


35R15 Partial differential equations on infinite-dimensional (e.g. 
function) spaces (= PDE in infinitely many variables) 
[see also 46Gxx, 58D25] 


Chow, Pao Liu Stochastic differential equations in infinite dimensions. 92e:35167 

Daletskii, A. Yu. On a quasiclassical approximation for a class of infinite-dimensional 
pseudodifferential equations. (Russian) 92g:35220 

(Grobbelaar-van Dalsen, Marié) see Erratum: “On B-evolution theory and dynamic boundary 
conditions on a portion of the boundary” 

Schmeelk, John Infinite-dimensional Fock spaces and Schrédinger equation solutions. 
92¢:35168 


Items listed otherwise than by author 
Erratum: 
“On B-evolution theory and dynamic boundary conditions on a portion of the boundary” 
Erratum: “On B-evolution theory and dynamic boundary conditions on a portion 
of the boundary” [Appl. Anal. 40 (1991), no. 2-3, 151-172; MR 91k:35248] by M. 
Grobbelaar-van Dalsen. 


Items with secondary classifications in 35R15 

Belyankov, A. Ya. Formalism of the exhaustion method in linear algebra. (Russian) 
92j:65051 

Cannarsa, Piermarco (with Da Prato, Giuseppe) A semigroup approach to Kolmogoroff 
equations in Hilbert spaces. 92g:47051 

— (with Gozzi, Fausto; Soner, Halil Mete) A boundary value problem for Hamilton-Jacobi 
equations in Hilbert spaces. 92h:49029 

— (with Da Prato, Giuseppe) Second-order Hamilton-Jacobi equations in infinite 
dimensions. 92b:49052 

Da Prato, Giuseppe see Cannarsa, Piermarco, 92b:49052 and 92g:47051 

Feller, M. N. The scope of harmonic functions of an infinite number of variables. I. 
(Russian. Ukrainian summary) 92b:46062 

— The scope of harmonic functions of an infinite number of variables. II. (Russian. 
Ukrainian summary) 92b:46063 

Gozzi, Fausto see Cannarsa, Piermarco; et al., 92h:49029 

Holly, Konstanty Navier-Stokes equations in R? as a system of nonsingular integral 
equations of Hammerstein type. An abstract approach. 92m:35208 

Khor’kova, N. G. #-spectral sequence of evolution equations. (Russian) 92k:58284 

Kpekpassi, M. An analogue of Dubinskii’s theorem for differential equations on an infinite- 
dimensional superspace. (Russian) 92k:58036 

Lions, Jacques-Louis Nonlinear sentinels for distributed systems. (Russian) 92a:49003 

(Petrushko, I. M.) see Lions, Jacques-Louis, 92a:49003 

Soner, Halil Mete see Cannarsa, Piermarco; et al., 92h:49029 

Soraggi, Roberto Luiz The Cauchy-Riemann operator in infinite-dimensional spaces. 
92g:46056 

— The d-problem for a (0, 2)-form in a D.F.N. space. 92g:46057 

Winiarska, Teresa Parabolic equations with coefficients depending on ¢ and parameters. 
92a:34065 


35R20 Partial operator-differential equations (i.e. PDE on finite- 
dimensional spaces for abstract space valued functions) 
[see also 34Gxx, 47A50, 47D03, 47D06, 47D09, 47H15, 
47H20] 


Attia Hussein, Hassan (with El-Fiky, Ahmed S.) Estimating the exponential growth of the 
solution of certain linear partial differential equations. 92a:35158 

EI-Fiky, Ahmed S. see Attia Hussein, Hassan, 92a:35158 

Fomin, V.I. Behavior of solutions of a degenerate differential equation with a small 
parameter in a Banach space. (Russian) 92¢:35118 

Jolly, M.S. (with Kevrekidis, Ioannis G.; Titi, Edriss Saleh) Preserving dissipation in 
approximate inertial forms for the Kuramoto-Sivashinsky equation. 92b:35165 

Kevrekidis, Ioannis G. see Jolly, M. S.; et al., 92b:35165 





35R20 


Nazarov, V. I. Solvability of linear operator-differential equations in Roumieu scales 
constructed with respect to a given linear unbounded operator. (Russian) 92¢:35169 

Orlovskii, D. G. see Prilepko, A. I., 92k:35283 

Prilepko, A. I. (with Orlovskii, D.G.) Determination of the evolution of a parameter in an 
abstract parabolic equation. (Russian) 92k:35283 

Rzepecki, Bogdan On the hyperbolic equation zx, = f(x,y, z) in Banach spaces. 92c¢:35119 

Titi, Edriss Saleh see Jolly, M. S.; et al., 92b:35165 


Items with secondary classifications in 35R20 


Adjamagbo, Kossivi (with van den Essen, Arno) Eulerian systems of partial differential 
equations and the Jacobian conjecture. 92i:13022 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Nonconvex perturbations of 
evolution equations with m-dissipative operators in Banach spaces. 92h:35093 

Belonosov, V.S. The second Lyapunov’s method for abstract parabolic equations and its 
applications to equations with partial derivatives. 92j:34119 

Choulli, M. An abstract inverse problem. 92b:35169 

Dedushev, A. V. A method for solving differential equations with operator coefficients. 
(Russian) 924:34121 

van den Essen, Arno see Adjamagbo, Kossivi, 92i:13022 

Fraguela Collar, Andrés The limiting amplitude principle for some abstract hyperbolic 
equations in Hilbert spaces. (Spanish. English summary) 92a:35024 

Gorbachuk, M. L. see Gorbachuk, V. I., 92m:34133 

Gorbachuk, V. I. (with Gorbachuk, M. L.) * Boundary value problems for operator 
differential equations. 92m:34133 

Kalenyuk, P.I. (with Nitrebich, Z. N.) A multiparameter analogue of the M. V. Keldysh 
system that determines chains of eigen- and associated vectors of operator pencils 
associated with operator-differential equations. (Russian) 92c:47018 

Korzyuk, V.I. (with Yurchuk, N. 1.) The Cauchy problem for third-order hyperbolic 
operator-differential equations. (Russian) 92i:35077 

Liang, Jin see Xiao, Ti Jun, 92b:47062 

Lomovtsev, F. E. The Cauchy problem for second-order hyperbolic differential equations 
with a variable domain of the operator coefficients. (Russian. English summary) 
92g:34081 

Laterotti, Fabio On a class of abstract differential equations of Fuchs’ type. (Italian 
summary) 92b:34070 

Maksimovich, S.1I. (with Yurchuk, N. 1.) The Cauchy problem for operator-differential 
equations of Fuchsian type. (Russian) 92h:34115 

Marano, Salvatore A. Classical solutions of partial differential inclusions in Banach spaces. 
92h:35252 

Matos, Marivaldo Pereira Mathematical analysis of the nonlinear model for the vibrations 
of a string. 92k:35191 

Mokhtar-Kharroubi, Mustapha Time asymptotic behaviour and compactness in transport 
theory. 92k:82063 

Mrozek, Marian (with Rybakowski, Krzysztof P.) Nontrivial full bounded solutions of 
time-periodic semilinear parabolic PDEs. 92i:34084 

Naselli Ricceri, Ornella On some classes of implicit partial differential equations in Banach 
spaces. (Italian summary) 92b:47104 

Nitrebich, Z. N. see Kalenyuk, P. I., 92c:47018 

Pankov, A. A. * Bounded and almost periodic solutions of nonlinear operator differential 
equations. 92f:35002 

Papageorgiou, Nikolaos S. see Avgerinos, Evgenios P., 92h:35093 

Romanov, A. V. Conditions for asymptotic k-dimensionality of semilinear parabolic 
equations. (Russian) 92¢:35090 

Rybakowski, Krzysztof P. see Mrozek, Marian, 92i:34084 

Sviridyuk, G. A. Semilinear equations of Sobolev type with a relatively bounded operator. 
(Russian) 92g:47097 

Thieme, Horst R. Semiflows generated by Lipschitz perturbations of non-densely defined 
operators. 92e:47121 

Varlamov, V. V. On a hyperbolic equation of high order in a Banach space. 92j:34118 

Winiarska, Teresa Nonlinear evolution equation with a parameter. (Russian summary) 
92j:47142 

Xiao, Ti Jun (with Liang, Jin) A note on the propagators of second order linear differential 
equations in Hilbert spaces. 92b:47062 

Xu, Gen Qi A spectral analysis of a class of abstract dynamic operators. (Chinese) 
92h:35163 

Yurchuk, N. I. see Maksimovich, S. I., 92h:34115 and Korzyuk, V. I., 92i:35077 

(Zayachkovskii, V.S.) see Pankov, A. A., 92f:35002 


35R25 Improperly posed problems for PDE 

Ames, Karen A. Improperly posed problems for nonlinear partial differential equations. 
92h:35232 

Kaliaskarova, T. R. Ill-posedness of a class of boundary value problems for second-order 
parabolic systems. (Russian. English and Kazakh summaries) 92g:35221 


Items with secondary classifications in 35R25 

Atakhodzhaev, M. A. (with Egamberdiev,O.M.) The Cauchy problem for an abstract 
bicaloric equation. (Russian) 92c:35055 

— On the nonuniqueness of the solution of an ill-posed problem for the biharmonic 
equation. (Russian) 92m:35071 

Egamberdiev, O.M. see Atakhodzhaev, M. A., 92c:35055 

Gilliam, David S. (with Mair, Bernard A.) Stability of a convolution method for inverse 
heat conduction problems. 92m:35270 

Klibanov, M. V. (with Santosa, Fadil) A computational quasi-reversibility method for 
Cauchy problems for Laplace’s equation. 92h:35052 

Mair, Bernard A. see Gilliam, David S., 92m:35270 

Santosa, Fadil see Klibanov, M. V., 92h:35052 

Wall, David J. N. On some differential equations arising in time domain scattering problems 
for a dissipative wave equation. 92h:45020 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 642 


35R30 Inverse problems (undetermined coefficients, etc.) for PDE 


Akamatsu, Masayuki (with Nakamura, Gen; Steinberg, Stanly) Identification of Lamé 
coefficients from boundary observations. 92k:35284 

Akhtamova, S.S. (with Belov, Yu. Ya.) Some inverse problems for parabolic equations. 
(Russian) 92d:35292 

Aktosun, Tuncay (with van der Mee, C. V. M.) Inverse scattering problem for the 3- 
D Schrédinger equation and Wiener-Hopf factorization of the scattering operator. 
92¢:35120 

Amirov, A. Kh. (with Pashaev, R. T.) An inverse problem for the wave equation. (Russian) 

Amirov, R. Kh. A multidimensional inverse problem for a hyperbolic equation and a related 
spectral problem. (Russian) 92k:35285 

Anderssen, R.S. see Chow, S.-S., 92h:35237 

Anger, Gottfried * Inverse probl in diffe ial equations. 92b:35166a 

— * Inverse problems in differential equations. 92b:35166b 

Anikonov, Yu. E. Inverse problems for nonlinear equations. (Russian) 92¢:35170 

— Formulas in multidimensional inverse problems for evolution equations. (Russian) 
92b:35167 

— Inverse problems for nonlinear equations, and synergetics. (Russian) 92b:35168 

— Inverse problems in mathematical physics and biology. (Russian) 92h:35233 

— Formulas for solutions of some inverse problems for evolution equations. (Russian) 

— Formulas in inverse problems for second-order equations. (Russian) 

Apel’tsin, V. F. On the synthesis of field scattered by a perfectly conducting obstacle. 
92g:35222 

Avdonin, S. A. (with Belishev, M. I.; Ivanov, S. A.) Boundary control and an inverse matrix 
problem for the equation uj; — uxx + V(x)u=0.(Russian) 92d:35293 

Baev, A. V. Solution of inverse problems of dissipative scattering theory. (Russian) 
92a:35159 

Banks, H. T. (with Wade, J.G.) Weak tau approximations for distributed parameter 
systems in inverse problems. 92h:35234 

Bazdyreva, M. B. An inverse problem for Poisson equations. (Russian) (see 92d:35006) 

Belinskii, S. P. An existence theorem for the solution of an inverse problem for a hyperbolic 
system of first-order equations. (Russian) 92¢:35121 

Belishev, M.I. (with Sheronova, T. L.) Methods of boundary control theory in a non- 
stationary inverse problem for an inhomogeneous string. (Russian. English summary) 
92a:35160 

— (with Kurylév, Ya. V.) Boundary control, wave field continuation and inverse problems 
for the wave equation. 92h:35235 

— see also Avdonin, S. A.; et al., 92d:35293 

Belov, Yu. Ya. An inverse problem for a semilinear parabolic equation. (Russian) 92f:35142 

— (with Savateev, E.G.) An inverse problem for a parabolic equation with an unknown 
coefficient multiplying the time derivative. (Russian) 92h:35236 

— see also Akhtamova, S. S., 924:35292 

Beretta, Elena (with Vogelius, Michael) An inverse problem originating from magnetohy- 
drodynamics. 924:35294 

Boboev, K. see Kabanikhin, S. I. 

Bondarenko, A. N. Singular structure of the fundamental solution of the transport equation, 
and inverse problems in particle scattering theory. (Russian) 

Borovikov, I. P. Uniqueness of the solution of an inverse problem for the wave equation. 
(Russian) 92g:35223 

Breckon, W. R. Measurement and reconstruction in electrical impedance tomography. (see 
92h:00016) 

Bubnov, B. A. Necessary and sufficient conditions for solvability of an inverse problem 
for a hyperbolic equation in a class of periodic functions with respect to ft. (Russian) 
92g:35225 

— (with Salimov, K. D.) Inverse problems for the transport equation (the periodic case). 
(Russian) 92f:35143 

— (with Kemelov, D. U.) Investigation and a numerical method for the solution of an 
inverse problem for multidimensional hyperbolic equations. (Russian) 92g:35224 

Cannon, John R. (with Lin, Yan Ping; Wang, Shingmin) Determination of a control 
parameter in a parabolic partial differential equation. 92e:35171 

— (with Rundell, William) Recovering a time dependent coefficient in a parabolic 
differential equation. 92g:35227 

— (with DuChateau, Paul; Steube, Ken) Identifying a time dependent unknown coefficient 
in a nonlinear heat equation. (see 92m:35003) 

Chen, Benito C. (with Jorge, M. C.; Minzoni, A. A.) Bifurcation of solutions for an inverse 
problem in potential theory. 92j:35185 

Cheney, Margaret sce Isaacson, David, 92h:35238 

Choulli, M. An abstract inverse problem. 92b:35169 

Chow, Chen Yu (with Wu, Jun) * A method of determining boundary position for a double 
porosity medium system. 924:35295 

Chow, S.-S. (with Anderssen, R. S.) Determination of the transmissivity zonation using a 
linear functional strategy. 92h:35237 

Colton, David (with Monk, Peter B.) The inverse scattering problem for time harmonic 
electromagnetic waves. 92e:35172 

Dikasov, V.M. An inverse problem for the wave equation in a ball. (Russian) 924:35296 

Dobson, David C. Estimates on resolution and stabilization for the linearized inverse 
conductivity problem. 92m:35269 

Dosumov, S.T. An inverse problem for a degenerate hyperbolic equation. (Russian) (see 
92d:35008) 

DuChateau, Paul see Cannon, John R.; et al., (92m:35003) 

Fokas, Athanassios S. see Sung, Li-Yeng, 92i:35126 

Friedman, Avner (with Reitich, Fernando) Parameter identification in reaction-diffusion 
models. 92j:35186 

Gadzhiev, M. M. Well-posedness of multidimensional inverse problems for some classes of 
degenerate elliptic equations. (Russian) 92i:35124 

Gentili, Giorgio Dissipativity conditions and inverse problems for heat conduction with 
linear memory. 924:35297 

Ghose, Chandana (with Roy Chowdhury, A.) Periodic inverse problem for a new hierarchy 
of coupled evolution equations. 92f:35144 








643 1992 


Gilliam, David S. (with Martin, Clyde Franklin) Discrete observability of parabolic initial- 
boundary value problems. 92a:35161 

— (with Mair, Bernard A.) Stability of a convolution method for inverse heat conduction 
problems. 92m:35270 

Grasselli, Maurizio (with Kabanikhin, S. I.; Lorenzi, A.) An inverse hyperbolic integrodif- 
ferential problem arising in geophysics. II. 92k:35286 

Gryn’, V.1. Joint reconstruction of the absorption coefficient and the source function for the 
stationary radiation transport equation in R?. (Russian) 

Guo, Bao Qi A class of inverse problems of determining the coefficients of the first 
derivatives of parabolic equations. II. (Chinese. English summary) 92k:35287 

— see also Yang, Guang; et al. and Li, Ying Hua’; et al. 

Gutman, Semion (with White, Luther W.) The estimation of L© diffusion coefficients in the 
parabolic equations. 92g:35228 

Hadjikov, L. see Manoach, E.; et al. 

Handrock-Meyer, Sybille (with Schwarz, Anke) Einige inverse Aufgaben fir lineare 
partielle Differentialgleichungen. [Some inverse problems for linear partial differential 
equations] 92j:35187 

Hansen, Sénke Solution of a hyperbolic inverse problem by linearization. 924:35298 

Ikehata, Masaru A special Green’s function for the biharmonic operator and its application 
to an inverse boundary value problem. 92g:35229 

Isaacson, David (with Cheney, Margaret) Effects of measurement precision and finite 
numbers of electrodes on linear impedance imaging algorithms. 92h:35238 

Isakov, Victor * Inverse source problems. 92g:35230 

— An inverse hyperbolic problem with many boundary measurements. 92i:35125 

Isozaki, Hiroshi Some remarks on the multi-dimensional Borg-Levinson theorem. 
92h:35239 

Ivanov, S. A. see Avdonin, S. A.; et al., 92d:35293 

Janno, Jaan On an inverse problem for determining the creep function with a given 
boundary data close to a singular function. (see 92m:93001) 

— On the identification of the coefficient of permeability by means of method of characteris- 
tics. (Russian and Estonian summaries) 92m:35271 

Jorge, M. C. see Chen, Benito C.; et al., 92j:35185 

Kabanikhin, S. 1. (with Satybaev, A. D.) Finite-difference regularization of a linearized 
inverse problem for the two-dimensional wave equation. (Russian) 92e:35173 

— (with Boboev, K.) The problem of determining the coefficients of the kinetic transport 
equation in the P;-approximation. (Russian. Tajiki summary) 

— (with Lorenzi, A.) An identification problem related to the integrodifferential Maxwell’s 
equations. 92k:35288 

— see also Grasselli, Maurizio; et al., 92k:35286 

Karagiozova, D. see Manoach, E.; et al. 

Kemelov, D. U. see Bubnov, B. A., 92g:35224 

Khaidarov, A. Stability estimates in inverse problems for hyperbolic equations. (Russian) 
92h:35240 

Khapaev, Mikhail Mikhailovich On the determination of averaged physical parameters in 
periodic media. (Russian) 924:35299 

Khusainov, R. N. Determination of the relaxation times and equilibrium magnetization in 
an inverse problem for the Bloch equation. (Russian) 92¢:35122 

Kristensson, G. (with Krueger, R. J.; Winther, R. C.) Existence and construction of 
solutions of dissipative inverse problems. 92h:35241 

Krueger, R. J. see Kristensson, G.; et al., 92h:35241 

Kurylév, Ya. V. see Belishev, M. 1., 92h:35235 

Lavrent'ev, M. M., Jr. Reconstruction of a piecewise-constant coefficient of the wave 
equation. (Russian) 92g:35231 

Lerner, Nicolas Wick-Wigner functions and tomographic methods. 92g:35232 

Le Trong Luc On the inverse source problem for the Newtonian potential. 92h:35242 

Lewis, Robert Michael (with Symes, William W.) On the relation between the velocity 
coefficient and boundary value for solutions of the one-dimensional wave equation. 
92g:35233 

Li, Peter (with Treibergs, Andrejs; Yau, Shing-Tung) How to hear the volume of convex 
domains. 92m:35272 

Li, Ying Hua! (with Guo, Bao Qi; Wu, Jian Cheng; Niu, Pei Kun) An inverse problem for 
determining the unknown coefficient k(x) in the equation u, — (k(x)ux). + B(x)ux + 
c(x)u = 0. (Chinese. English summary) 

Lin, Yan Ping see Cannon, John R.; et al., 92e:35171 

Lorenzi, A. see Grasselli, Maurizio; et al., 92k:35286 and Kabanikhin, S. I., 92k:35288 

Mair, Bernard A. see Gilliam, David S., 92m:35270 

Majchrowski, Marian (with Rogulski, Jan) An inverse problem for a parabolic system of 
partial differential equations. 92g:35234 

Maksimov, V. I. Stable restoration of inputs from measurement results. (Russian. English 
summary) 924:35300 

Maksudov, R. Z. Necessary and sufficient conditions for the solvability of a multidimen- 
sional inverse problem for a hyperbolic equation. (Russian) 92g:35226 

Manoach, E. (with Karagiozova, D.; Hadjikov, L.) An inverse problem for an initially 
heated circular plate under a pulse loading. 

Martin, Clyde Franklin see Gilliam, David S., 92a:35161 

Maslov, E.M. Corrigenda: “The inverse problem of dynamics for the nonlinear Klein- 
Gordon equation” [Inverse Problems 7 (1991), no. 1, LI-L5; MR 91k:35254]. 

van der Mee, C. V.M. see Aktosun, Tuncay, 92c:35120 

Melin, Anders Inverse problems and microlocal analysis. (see 92d:35009) 

Millar, R. F. An inverse moving boundary problem for Laplace’s equation. (see 92h:00016) 

Milman, A. L. An inverse problem in acoustic scattering theory for centrally symmetric 
finite obstacles in a two-dimensional space. (Russian. Ukrainian summary) 92e:35174 

Minzoni, A. A. see Chen, Benito C.; et al., 92j:35185 

Mohamed, Fouad A. Determination of an unknown function in parabolic problems with 
standard and nonstandard boundary data. 924:35301 

— Recovery of an unknown function in hyperbolic probl 
boundary data. 92g:35235 

Monk, Peter B. see Colton, David, 92¢:35172 

Muzylév, N. V. On the uniqueness of the simultaneous determination of the coefficient in 
a quasilinear parabolic equation and the coefficient in the boundary condition. (Russian) 


with standard and nonstandard 





35R Miscellaneous topics involving partial differential equations 


92m:35273 

Nakamura, Gen see Akamatsu, Masayuki; et al., 92k:35284 

Natterer, Frank An inverse problem for a transport equation and integral geometry. 
92d:35302 

Niu, Pei Kun see Li, Ying Hua’; et al. 

Orlovskii, D.G. An inverse problem for an equation of hyperbolic type in a Hilbert space. 
(Russian) 92m:35274 

— Solvability of an inverse problem for a parabolic equation in the Hélder class. (Russian) 
92m:35275 

Pashaev, R. T. see Amirov, A. Kh. 

Pidcock, M. K. Recent developments in electrical impedance tomography. (see 92a:00040) 

— Boundary problems in electrical impedance tomography. (see 92h:00016) 

Pilant, Michael (with Rundell, William) A method for identifying nonlinear terms in 
parabolic initial-boundary value problems. 92b:35170 

Prilepko, A. 1. (with Vasin, I. A.) Some nonstationary inverse probl 
with final observation. (Russian) 

Pukhnachéva, T. P. see Romanov, V. G., 92a:35162 

Ramm, A. G. (with Xie,Gan Quan) Uniqueness result for inverse problem of geophysics. 
Il. 92b:35171 

— An approximation problem. 92g:35236 

— (with Sjéstrand, Johannes) An inverse problem of the wave equation. 924:35303 

— Stability of the solution to inverse scattering problem with exact data. 

Reitich, Fernando see Friedman, Avner, 92j:35186 

Reznitskaya, K.G. A two-dimensional problem concerning a source. The linearized case. 
(Russian) 92f:35145 

Rogulski, Jan see Majchrowski, Marian, 92g:35234 

Romanov, V.G. (with Pukhnachéva, T. P.) Determination of the coefficients of a system of 
equations of electrodynamics in a class of functions that are analytic with respect to some 
of the variables. (Russian) 92a:35162 

Roy Chowdhury, A. see Ghose, Chandana, 92f:35144 

Rundell, William see Pilant, Michael, 92b:35170 and Cannon, John R., 92g:35227 

Safarov, Yu. G. Precise spectral asymptotics and inverse problems. (see 92b:35006) 

Salimov, K. D. see Bubnov, B. A., 92f:35143 

Sariev, A. D. (with Sydykov, G. M.) On the well-posedness “in the large” of some inverse 
transfer problems in a multizone region. (Russian) 92j:35188 

— see also Sydykov, G. M., 92i:35127 

Satybaev, A. D. see Kabanikhin, S. I., 92e:35173 

Savateev, E.G. see Belov, Yu. Ya., 92h:35236 

Schwarz, Anke see Handrock-Meyer, Sybille, 92j:35187 

Serov, V.S. Reconstruction of potential in a three-dimensional problem in scattering 
theory. (Russian) 92j:35189 

Sheronova, T. L. see Belishev, M. I., 92a:35160 

Sjéstrand, Johannes see Ramm, A. G., 92d:35303 

Sleeman, B. D. Interior and exterior inverse problems for the Helmholtz equation. (see 
92h:00016) 

Stefanov, Plamen D. Some inverse problems in potential scattering. (see 92b:35006) 

Steinberg, Stanly see Akamatsu, Masayuki; et al., 92k:35284 

Steube, Ken see Cannon, John R.; et al., (92m:35003) 

Sun, Zi Qi The inverse conductivity problem in two dimensions. 92a:35163 

— Uniqueness for formally determined inverse boundary value problems. 92g:35237 

— (with Uhlmann, Gunther) Generic uniqueness for an inverse boundary value problem. 
92b:35172 

Sung, Li-Yeng (with Fokas, Athanassios S.) Inverse problems in multidimensions. 
92i:35126 

Sydykov, G. M. (with Sariev, A. D.) Inverse problems for the nonstationary transport 
equation in plane-parallel geometry. (Russian) 92i:35127 

— see also Sariev, A. D., 92j:35188 

Sylvester, John (with Uhimann, Gunther) Inverse problems in anisotropic media. 
92k:35289 

Symes, William W. Layered velocity inversion: a model problem from reflection seismology. 
92e:35175 

— see also Lewis, Robert Michael, 92g:35233 

Tan, D.G. H. Review of recent research into inverse methods at the University of 
Canterbury. (see 92h:00016) 

Tanaguzov, B.T. An inverse problem for a hyperbolic equation. (Russian) (see 92e:35003) 

Tautenhahn, Ulrich Parameter identification in parabolic equations. (see 91f:65004) 

Treibergs, Andrejs see Li, Peter; et al., 92m:35272 

Tsybikov, B. N. An inverse problem for an elliptic equation. (Russian) 92i:35128 

— An inverse problem for the multidimensional Chaplygin equation. (Russian) 92g:35238 

Uhimann, Gunther see Sun, Zi Qi, 92b:35172 and Sylvester, John, 92k:35289 

Vasil’ev, D. G. One can hear the dimension of a connected fractal in R?. (see 92b:35006) 

Vasin, I. A. see Prilepko, A. I. 

Vogelius, Michael see Beretta, Elena, 924:35294 

Wade, J.G. see Banks, H. T., 92h:35234 

Wang, Shingmin see Cannon, John R.; et al., 92e:35171 

White, Luther W. see Gutman, Semion, 92g:35228 

Winther, R. C. see Kristensson, G.; et al., 92h:35241 

Wa, Jian Cheng see Li, Ying Hua’; et al. 

Wu, Jun see Chow, Chen Yu, 92d:35295 

Xie, Gan Quan see Ramm, A. G., 92b:35171 

Xu, Cheng Long An inverse problem for parabolic equations. (Chinese. English summary) 
92b:35173 

Xu, Yong Zhi An injective far-field pattern operator and inverse scattering problem in a 
finite depth ocean. 92¢:35123 

Yakhno, V.G. A multidimensional inverse problem for a system of Lamé equations. 
(Russian) 92:35146 

Yang, Guang (with Guo, Bao Qi) The inverse problem for determining unknown coefficient 
in the parabolic equation. I. 

Yau, Shing-Tung see Li, Peter; et al., 92m:35272 

Yin, Hong Ming Global solvability for some parabolic inverse problems. 92m:35276 


of hydrod 
J 





2 





35R30 


Yu, Wen Huan On the existence of an inverse problem. 924:35304 

Zayed, E. M.E. An inverse eigenvalue problem for an arbitrary multiply connected 
bounded region in R?. 924:35305 

Zhao, Qian Gui A numerical method for solving the inverse problem of parameters for two- 
dimensional elliptic equations. (Chinese. English summary) 92j:35190 

Zheng, Jia Mao Inversion of coefficients of a wave function under nonzero initial 
conditions. (Chinese. English summary) 92i:35129 


Items with secondary classifications in 35R30 


Aksent'ev, L. A. see Avkhadiev, F. G.; et al., 92g:76007 

Aktosun, Tuncay (with van der Mee, C. V. M.) Multidimensional inverse quantum 
scattering problem and Wiener-Hopf factorization. (see 92a:00040) 

— (with van der Mee, C. V. M.) Scattering for 1D Schrédinger equation with energy- 
dependent potentials and the recovery of the potential from the reflection coefficient. 
92b:81211 

— (with van der Mee, C. V. M.) Wiener-Hopf factorization in multidimensional inverse 
Schrédinger scattering. 92g:35163 

— (with van der Mee, C. V. M.) Wiener-Hopf factorization in the inverse scattering theory 
for the n-D Schrédinger equation. 92f:35050 

— (with van der Mee, C. V. M.) Solution of the inverse scattering problem for the three- 
dimensional Schrédinger equation using a Fredholm integral equation. 92a:81217 

Alekseev, A.S. (with Avdeev, A. V.; Fat'yanov, A. G.; Cheverda, V. A.) * BomHosbie 
MIPOLecchI B BEPTHKAJIbHO-HEOTHOPOHLIX Cpeyax: IpsMbie # O6paTHbie 3aja4H. (Russian) 
[Wave processes in vertically inhomogeneous media: direct and inverse problems] 
92m:35151 

Alessandrini, Giovanni Determining conductivity by boundary measurements, the stability 
issue. (see 92i:00020) 

Allers, Andrew (with Santosa, Fadil) Stability and resolution analysis of a linearized 
problem in electrical impedance tomography. 92f:92022 

Aluffi-Pentini, Filippo (with Caglioti, Emanuele; Misici, Luciano; Zurilli, Francesco) A 
numerical method for the three-dimensional inverse acoustic scattering problem with 
incomplete data. (see 92a:00035) 

Amirov, A. Kh. Integral geometry and the problem of the reconstruction of the Riemann 
metric. (Russian) 92b:53115 

Anikonov, Yu. E. Representations of solutions of equations with variable coefficients, and 
inverse problems. (Russian) 92m:35045 

Arnaudov, Ya. N. see Georgiev, Viadimir S., 92i:35074 

Avdeev, A. V. see Alekseev, A. S.; et al., 92m:35151 

Avkhadiev, F.G. (with Aksent'ev, L. A.; Elizarov, A.M.) Conditions for the univalence of 
solutions of applied inverse boundary value problems. II. (Russian) 92g:76007 

Babovsky, Hans Identification of scattering media from reflected flows. 92k:82059 

Balk, P.1I. The use of a priori information on the topological features of field sources in the 
solution of an inverse problem in gravimetry. (Russian) 92a:86003 

Banks, H. T. (with Reich, Simeon; Rosen, I. G.) Galerkin approximation for inverse 
problems for nonautonomous nonlinear distributed systems. 92i:65102 

Barbu, Viorel The approximate solvability of the inverse one phase Stefan problem. 
92g:35239 

Bates, R.H.T. (with Smith, V. A.; Murch, R. D.) Manageable multidimensional inverse 
scattering theory. 92f:78008 

Baumeister, Johann (with Kunisch, Karl) Identifiability and stability of a two-parameter 
estimation problem. 92a:49069 

Bellout, Hamid (with Friedman, Avner; Isakov, Victor) Stability for an inverse problem in 
potential theory. 92j:31010 

Bryan, Kurt Numerical recovery of certain discontinuous electrical conductivities. 
92i:65192 

Bubnov, B. A. Solvability of an inverse problem for a hyperbolic equation in a class of 
functions of finite smoothness. (Russian) 92g:35118 

Busenberg, Stavros N. (with Fang, Wei Fu) Identification of semiconductor contact 
resistivity. 92g:35206 

Caglioti, Emanuele see Aluffi-Pentini, Filippo; et al., (92a:00035) 

Cannon, John R. (with Yin, Hong Ming) On a class of nonlinear parabolic equations with 
nonlinear trace type functionals. 92a:35082 

Carasso, Alfred S. Space marching difference schemes in the nonlinear inverse heat 
conduction problem. 92k:65120 

Chao, Hong Yang An iterative algorithm for the coefficient inverse problem of differential 
equations. 92i:65191 

Chavel, Isaac (with Karp, Leon) Movement of hot spots in Riemannian manifolds. 
92b:58223 

Chen, Yung Ming see Wang, S. L., 92h:65147 

Cheney, Margaret (with Isaacson, David) An overview of inversion algorithms for 
impedance imaging. (see 92f:00025) 

— see also Somersalo, E. J.; et al., 92i:65193 

Cheverda, V. A. see Alekseev, A. S.; et al., 92m:35151 

Choulli, M. Abstract inverse problem and application. 92k:34015 

Colton, David (with Kirsch, Andreas) An approximation problem in inverse scattering 
theory. 92c:35090 

De, Mrityunjoy (with Roy Chowdhury, A.) On a double Riemann-Hilbert approach to 
stimulated Raman scattering. 92g:35170 

Donnelly, Harold (with Lee, Jeffrey M.) Heat kernel remainders and inverse spectral theory. 
92b:58233 

Durdiev, D. K. An inverse problem for a three-dimensional wave equation in a medium with 
memory. (Russian) 92m:45007 

Elizarov, A.M. see Avkhadiev, F. G.; et al., 92g:76007 

Engl, Heinz W. (with Neubauer, Andreas) On an inverse problem from magnetostatics. 
(see 924:00025) 

Eskin, Gregory (with Ralston, James V.) Inverse backscattering in two dimensions. 
92m:81301 

Etingof, P. I. Inverse problems of potential theory and flows in porous media with time- 
dependent free boundary. 92h:31006 

Ewing, Richard E. (with Lin, Tao) A class of parameter estimation techniques for fluid flow 


PARTIAL DIFFERENTIAL EQUATIONS 


in porous media. 92b:65080 

Fang, Wei Fu see Busenberg, Stavros N., 92g:35206 

Fat'yanov, A. G. see Alekseev, A. S.; et al., 92m:35151 

Fishman, Louis Phase space and functional integral methods in direct and inverse 
scattering. (see 92a:00040) 

Friedman, Avner see Bellout, Hamid; et al., 92j:31010 

Georgiev, Vladimir S. (with Arnaudov, Ya. N.) Inverse scattering problem for dissipative 
wave equation. 92i:35074 

Gilliam, David S. (with Lund, John R.; Martin, Clyde Franklin) Inverse parabolic problems 
and discrete orthogonality. 92e:65127 

Gordon, Carolyn S. (with Webb, David L.; Wolpert, Scott A.) One cannot hear the shape of 
adrum. 92j:58111 

Grinberg, N. I. Inverse scattering problem for an elastic layered medium. 92m:73056 

Guillot, J.-C. (with Ralston, James V.) Inverse spectral theory for a singular Sturm- 
Liouville operator on [0, 1]. 924:34029 

Guo, Lijia (with Murio, Diego A.) A mollified space-marching finite-difference algorithm 
for the two-dimensional inverse heat conduction problem with slab symmetry. 92b:80010 

Gurarie, David 2-sphere Schrédinger operators with odd potentials. 92e:58218 

— Multiparameter averaging and inverse spectral problem for anharmonic oscillators in R”. 
92k:35203 

Guzev, M. A. A space-time approach in the statistical theory of nonstationary wave 
processes. (Russian) 92m:35153 

Ingham, D. B. (with Yuan, Y.) The solution of a nonlinear inverse elliptic problem by the 
boundary element method. (see 92h:65004) 

Isaacson, David see Somersalo, E. J.; et al., 92i:65193 and Cheney, Margaret, (92f:00025) 

Isaacson, Eli Leon see Somersalo, E. J.; et al., 92i:65193 

Isakov, Victor Completeness of products of solutions and some inverse problems for PDE. 
92¢:35044 

— see also Bellout, Hamid; et al., 92j:31010 

Jiang, Zhuhan Construction of inverse data in multidimensions. 92b:35154 

Kabanikhin, S.I. see Satybaev, A. D., (92f:00020) 

Kabanikhina, I. 1. Numerical comparison of three methods for solving a one-dimensional 
inverse problem. (Russian) (see 92f:00020) 

Kapanadze, D. V. An inverse problem in potential theory for piecewise-smooth multiply 
connected domains. (Russian) 92m:31002 

Karp, Leon see Chavel, Isaac, 92b:58223 

Khuri, N. N. Inverse scattering revisited: explicit solution of the Marchenko-Martin 
method. 92a:81218 

Kim, A. V. (with Korotkii, A. I.; Osipov, Yu. S.) Inverse problems of the dynamics of 
parabolic systems. (Russian) 92a:93034 

Kirsch, Andreas see Colton, David, 92c:35090 

Klibanov, M. V. On an inverse problem of diffraction. (Russian) 92d:78013 

— (with Malinsky, Joseph) Newton-Kantorovich method for three-dimensional potential 
inverse scattering problem and stability of the hyperbolic Cauchy problem with time- 
dependent data. 92k:65128 

Kojima, Fumio A computational method for thermal tomography by time dependent 
boundary integral equation method. (see 92m:93001) 

Korotkii, A. I. see Kim, A. V.; et al., 92a:93034 

Kroller, M. (with Kunisch, Karl) On the choice of the regularization parameter using model 
functions. (see 92a:00040) 

Kunisch, Karl (with Peichl, Gunther) Estimation of a temporally and spatially varying 
diffusion coefficient in a parabolic system by an augmented Lagrangian technique. 
92j:65149 

— see also Baumeister, Johann, 92a:49069 and Kroller, M., (92a:00040) 

Lapidus, Michel L. Can one hear the shape of a fractal drum? Partial resolution of the Weyl- 
Berry conjecture. 92d:58211 

(Lavrent'ev, M. M.) see Conditionally well-posed problems, 924:35006 

Lazarashvili, L. L. On the uniqueness of the solution of an inverse problem in potential 
theory on the plane. (Russian) 

(Lazarov, Raicho D.) see Integral equations and inverse problems, 92b:35006 

Lee, Jeffrey M. see Donnelly, Harold, 92b:58233 

Lin, Tao see Ewing, Richard E., 92b:65080 

Lodovici, C. (with Misici, Luciano; Pacelli, G.) The direct and inverse problem for two- 
dimensional turbulent diffusion. 92g:86003 

Logunov, S. L. An estimate for the stability of the inverse problem for the wave equation. 
(Russian) 92k:65129 

Louis, Alfred K. Numerik inverser Probleme. [Numerics of inverse problems] 92h:65188 

Lu, Zheng Yi The inverse problem for Asgeirsson’s mean value equality. (Chinese 
summary) 92g:35017 

Lund, John R. see Gilliam, David S.; et al., 92e:65127 

Maksimoyv, V. I. On the stable solution of inverse problems for nonlinear distributed 
systems. II. (Russian) 92k:49077 

Malinsky, Joseph see Klibanov, M. V., 92k:65128 

Martin, Clyde Franklin see Gilliam, David S.; et al., 92¢:65127 

van der Mee, C. V. M. see Aktosun, Tuncay, 92a:81217; 92b:81211; 92f:35050; 92g:35163 and 
(92a:00040) 

Miller, F. R. Characterizing principal curvature data as functions of the normal vectors and 
determining the surfaces. 92g:53004 

Misici, Luciano see Lodovici, C.; et al., 92g:86003 and Aluffi-Pentini, Filippo; et al., 
(92a:00035) 

Murch, R. D. see Bates, R. H. T.; et al., 92f:78008 

Murio, Diego A. see Guo, Lijia, 92b:80010 

Nakano, Kazushi (with Sagara, Setsuo) Finite-dimensional function estimation of a 
parabolic distributed-parameter system and related spillover problem. 92¢:93013 

Neubauer, Andreas see Engl, Heinz W., (92d:00025) 

Newton, Roger G. New results on 3D Schrédinger inverse scattering. (see 92a:00040) 

Novikov, R.G. The two-dimensional inverse scattering problem at fixed positive energy and 
the Riemann generalized nonlocal problem. (French summary) 92e:35120 

Orlovskii, D.G. Weak and strong solutions of inverse problems for differential equations in 
a Banach space. (Russian) 92g:34082 





645 1992 


Orudzhaliev, A. P. Numerical solution of a retrospective inverse problem in the mathemati- 
cal modeling of the heat conduction process. (Russian) 92¢:65110 

Osipov, Yu. S. see Kim, A. V.; et al., 92a:93034 

Pacelli, G. see Lodovici, C.; et al., 92g:86003 

Peichl, Gunther see Kunisch, Karl, 92j:65149 

(Petkov, Vesselin M.) see Integral equations and inverse problems, 92b:35006 

Pilant, Michael (with Rundell, William) Multiple undetermined coefficient problems for 
quasi-linear parabolic equations. 92¢:65154 

Prilepko, A. I. (with Vasin, I. A.) Ona nonlinear nonstationary inverse problem of 
hydrodynamics. 92f:35118 

Pukhnachéva, T. P. see Romanov, V. G., 92j:78009 

Piitter, Rolf On the nodal lines of second eigenfunctions of the free membrane problem. 
92¢:35156 

Rakesh see Ramm, A. G., 92a:35098 

Ralston, James V. see Guillot, J.-C., 92d:34029 and Eskin, Gregory, 92m:81301 

Ramm, A. G. (with Weaver, O.L.) 3D inverse scattering. 92g:35165 

— A problem of integral geometry. 92k:53132 

— (with Rakesh) Property C and an inverse problem for a hyperbolic equation. 92a:35098 

— Symmetry properties of scattering amplitudes and applications to inverse problems. 
924:35211 

Reich, Simeon see Banks, H. T.; et al., 92i:65102 

(Roach, Gary F.) see Inverse problems and imaging, 92h:00016 

Romanov, V.G. (with Pukhnachéva, T. P.) A theorem on the stability of the solution of a 
problem on determining the coefficients of the system of Maxwell equations. (Russian) 
92j:78009 

Rosen, I. G. see Banks, H. T.; et al., 921:65102 

Roy Chowdhury, A. see De, Mrityunjoy, 92g:35170 

Rundell, William see Pilant, Michael, 92c:65154 

Sacks, Paul E. (with Symes, William W.) The inverse problem for a fluid over a layered 
elastic half-space. 92d:73021 

Sagara, Setsuo see Nakano, Kazushi, 92e:93013 

Santosa, Fadil see Allers, Andrew, 92f:92022 

Satybaev, A. D. (with Kabanikhin, S. I.) A finite-difference algorithm for solving a one- 
dimensional inverse problem for the wave equation. (Russian) (see 92f:00020) 

Seleznév, V.V. (with Slavutin, M. L.) Univalent solvability of inverse boundary value 
Pp with boundary conditions on the hodograph of a derivative. (Russian) 
92a:30039 

Shah, Piyush C. Application of adjoint equations to estimation of parameters in distributed 
dynamic systems. (see 92h:65031) 

Shirokova, E. A. Solution of an interior inverse boundary value problem for the Beltrami 
equation with respect to the parameter s by reduction to integral equations. (Russian) 
92g:30042 

Slavutin, M. L. see Seleznév, V. V., 92a:30039 

Smith, V. A. see Bates, R. H. T.; et al., 92f:78008 

Somersalo, E. J. (with Cheney, Margaret; Isaacson, David; Isaacson, Eli Leon) Layer 
stripping: a direct numerical method for impedance imaging. 92i:65193 

— (with Cheney, Margaret; Isaacson, David; Isaacson, Eli Leon) Corrigendum: “Layer 
stripping: a direct numerical method for impedance imaging” [Inverse Problems 7 (1991), 
no. 6, 899-926; MR 92i:65193]. 

Stefanov, Plamen D. Inverse scattering problems for the wave equation with time dependent 
impurities. (see 92a:00040) 

— Stability of the inverse problem in potential scattering at fixed energy. (French summary) 
92d:35217 

— Inverse scattering problem for moving obstacles. 92h:35174 

Sultanov, M. A. Stability of a one-dimensional inverse problem for the Schrédinger 
equation. (Russian) (see 92d:00011) 

Symes, William W. see Sacks, Paul E., 92d:73021 

Talagrand, Olivier The use of adjoint equations in numerical modeling of the atmospheric 
circulation. (see 92h:65031) 

Tersenov, S. A. On the first boundary value problem for a direct-inverse parabolic equation. 
(Russian) 92j:35080 

Vabishchevich, P. N. Difference methods for solving a boundary inverse problem of heat 
conduction. (Russian) 92f:65107 

Vasin, I. A. see Prilepko, A. I., 92f:35118 

Vinichenko, A. A. Solution of an inverse boundary value problem of blast ejection with a 
given velocity hodograph. (Russian) 92d:76033 

Wang, S. L. (with Chen, Yung Ming) An efficient numerical method for exterior and 
interior inverse problems of Helmholtz equation. 92h:65147 

Weaver, O. L. see Ramm, A. G., 92g:35165 

Webb, David L. see Gordon, Carolyn S.; et al., 92j:58111 

Weder, Ricardo Characterization of the scattering data in multidimensional inverse 
scattering theory. 92g:35167 

— Global uniqueness at fixed energy in multidimensional inverse scattering theory. 
925:35143 

— Generalized limiting absorption method and multidimensional inverse scattering theory. 
92g:35168 

Weston, V.H. Wave splitting and the reflection operator for the wave equation. (see 
92a:00040) 

— Invariant imbedding for the wave equation in three dimensions and the applications to 
the direct and inverse problems. 92¢:35100 

White, Luther W. The identification of electrical conductivity from potential measure- 
ments. 92¢:78009 

Wiener, Joseph Boundary value probl 
constant delay. 92d:35289 

Wolpert, Scott A. see Gordon, Carolyn S.; et al., 92j:58111 

Xie, Gan Quan (with Zou, Qisu) A parallel algorithm for solving the 3D inverse scattering 
problem. 92a:65367 

Yin, Hong Ming see Cannon, John R., 92a:35082 

Yuan, Y. see Ingham, D. B., (92h:65004) 

Zhang, Tie A finite element method for solving inverse problems for a class of parabolic 








for partial differential equations with piecewise 


35R Miscellaneous topics involving partial differential equations 


equations. (Chinese. English summary) 92m:65121 
Zou, Qisu see Xie, Gan Quan, 92a:65367 
Zaurilli, Francesco see Aluffi-Pentini, Filippo; et al., (92a:00035) 


Items listed otherwise than by author 


Conditionally well-posed problems * YcnoBHo KoppexTubie 3aza4H. (Russian) [Conditionaily 
well-posed problems] 924:35006 

Conference: 
Integral Equations and Inverse Problems * Integral equations and inverse problems. 

92b:35006 

Glasgow * Inverse problems and imaging. 92h:00016 

Integral equations and inverse problems * Integral equations and inverse problems. 
92b:35006 

Inverse problems and imaging * Inverse problems and imaging. 92h:00016 

Meeting: 
Inverse Problems and Imaging * Inverse problems and imaging. 92h:00016 

Varna * Integral equations and inverse problems. 92b:35006 


35R35 Free boundary problems for PDE 


Acker, Andrew On the multi-layer fluid problem: regularity, uniqueness, convexity, and 
successive approximation of solutions. 92k:35290 

— Addendum to: “On the nonconvexity of solutions in free bl arising in 
plasma physics and fluid dynamics” (Comm. Pure ane Math. 42 (1989), no. 8, 1165- 
1174; MR 91a:35167]. 92h:35243 

— (with Lancaster, Kirk E.) Existence and geometry of a free boundary problem for the heat 
equation. 92b:35174 

Angenent, Sigurd Solutions of the one-dimensional porous medium equation are deter- 
mined by their free boundary. 92i:35130 

Athanasopoulos, Ioannis (with Salsa, Sandro) An application of a parabolic comparison 
principle to free boundary problems. 924:35306 

Bai, Dong Hua (with Tan, Qi Jian) Local solutions to a class of free boundary problems. 
(Chinese. English summary) 924:35307 

Barbu, Viorel The approximate solvability of the inverse one phase Stefan problem. 
92g:35239 

Berezovskii, A. A. (with Zhuraev, K.O.) Spherically symmetric problems of Stefan type in 
hypothermia problems. (Russian) (see 92d:00008) 

Bertsch, Michiel (with Hilhorst, Danielle) The interface between regions where u < 0 and 
u > 0 in the porous medium equation. 92d:35308 

Bobula, Eugeniusz Free boundary problem for the spontaneous diffusion. 92a:35164 

Caffarelli, Luis A. Free boundary problems and their singular perturbations. 92k:35291 

Caginalp, G. Phase field models and sharp interface limits: some differences in subtle 
situations. 92k:35292 

Cannon, John R. (with Yin, Hong Ming) A periodic free boundary problem arising in some 
diffusion chemical reaction processes. 92g:35240 

Chen, Qi Hong Classical solution to the electropainting problem. 92¢:35124 

Chen, Xinfu (with Reitich, Fernando) Local existence and uniqueness of solutions of the 
Stefan problem with surface tension and kinetic undercooling. 92m:35277 

Cox, Robert W. Stress-assisted diffusion: a free boundary problem. 92i:35131 

(Crowley, Anna) see Meirmanov, A. M., 92m:35282 

Das, Purna C. see Pani, Amiya K., 92d:35311 

Diaz Diaz, Jestis Iidefonso (with Shmarév, S. 1.) On the behaviour of the interface in 
nonlinear processes with convection dominating diffusion via Lagrangian coordinates. 
92m:35278 

DiBenedetto, E. Local regularity and extinction free boundary for a singular parabolic 
equation. 92b:35175 

Dinh Phi Bong see Radyno, Ya. V., 92m:35283 

Fazano, A. (with Primicerio, Mario; Radkevich, E. V.) Transition zone problems. (Russian) 
92k:35293 

Fazio, Riccardo Similarity analysis of a moving boundary hyperbolic problem. (see 
92a:00036) 

Friedman, Avner (with Hu, Bei) A free boundary problem arising in electrophotography. 
92g:35241 

— (with Reitich, Fernando) The Stefan problem with small surface tension. 92¢:35125 

Gafiichuk, V. V. (with Lubashevskii, I. A.; Osipov, V. V.) * J[mHamuxa dopmMuposaHHa 
NOBEPXHOCTHBIX CTPyKTyp B CHcTeMax co cBo6omHOH rpaHuuen. (Russian) [Dynamics of the 
formation of surface structures in systems with a free boundary] 92b:35176 

Garguichevich, Graciela G. (with Tarzia, Domingo Alberto) A two-phase Stefan problem 
with internal energy source. (Spanish) 92¢:35176 

Gianni, Roberto A filtration problem with ponding. (Italian summary) 92k:35294 

Gilbert, R. P. (with Wen, Guo Chun) Approximate solutions for some free boundary value 
problems occurring in planar fluid dynamics. 92¢:35126 

(Gétz, I. G.) see Meirmanov, A. M., 92m:35282 

Grebenév, V. N. On a coordinate transformation in a problem with a free boundary. 
(Russian) 92k:35295 

Guan, Zhi Cheng Nonequilibrium problems in phase changes. (see 92m:35004) 

Haslinger, Jaroslav (with Neittaanmaki, Pekka) On one identification problem in linear 
elasticity. (see 91m:35004) 

Hilhorst, Danielle (with Hulshof, Josephus) An elliptic-parabolic problem in combustion 
theory: convergence to travelling waves. 92g:35242 

— (with Nishiura, Yasumasa; Mimura, Masayasu) A free boundary problem arising in some 
reacting-diffusing system. 92k:35296 

— see also Bertsch, Michiel, 924:35308 

Hu, Bei Diffusion of penetrant in a polymer: a free boundary problem. 924:35309 

— see also Friedman, Avner, 92g:35241 

Hulshof, Josephus see Hilhorst, Danielle, 92g:35242 

Jerison, David Regularity of the Poisson kernel and free boundary problems. 92b:35177 

Kaliev, I. A. (with Razinkov, E. N.) On the Stefan problem with phase relaxation. (Russian) 
92b:35178 








35R35 


Kaper, Hans G. (with Kwong, Man Kam; Li, Yi*) On the positive solutions of the free- 
boundary problem for Emden-Fowler type equations. (see 92m:00047) 

Kenmochi, Nobuyuki A new proof of the uniqueness of solutions to two-phase Stefan 
problems for nonlinear parabolic equations. 92k:35297 

Kersner, Robert (with Nicolosi, Francesco) On the free boundaries in a nonlinear diffusion- 
convection problem with positive initial conditions. 92i:35132 

Kress, Rainer Inverse acoustic obstacle scattering. (see 92a:65021) 

Kwong, Man Kam see Kaper, Hans G.; et al., (92m:00047) 

Lancaster, Kirk E. see Acker, Andrew, 92b:35174 

Latypov, I. A. Estimates for a linearized Stefan problem in the Sobolev spaces wn 
(Russian) (see 92e:00011) 

Laurence, Peter (with Stredulinsky, Edward) Existence of regular solutions with convex 
levels for semilinear elliptic equations with nonmonotone L! nonlinearities. I. An 
approximating free boundary problem. 92m:35279 

— (with Stredulinsky, Edward) Existence of regular solutions with convex level sets for 
semilinear elliptic equations with nonmonotone L! nonlinearities. II. Passage to the limit. 
92m:35280 

Letavin, M. I. On the well-posedness of a one-dimensional single-phase hyperbolic Stefan 
problem. (Russian) 92g:35243 

Li, Da Qian (with Zhao, Yan Chun) Global classical solutions to typical free-boundary 
problems for quasilinear hyperbolic systems. 92g:35244 

Li, Hui Lai Radial solutions of free boundary probl for deg 
92d:35310 

Li, Wen Shen A moving boundary problem for the heat conduction equation. (Chinese. 
English summary) 92f:35147 

Li, Yi? see Kaper, Hans G.; et al., (92m:00047) 

Li, Yi‘ see Zhao, Jun Ning; et al., 924:35315 

La, Guo Fu Some properties of free boundary for solution of porous medium equation with 
gravity term in one dimension. 92g:35245 

Lubashevskii, I. A. see Gafiichuk, V. V.; et al., 92b:35176 

Lao, Yuan Quan see Zhan, Tong Sheng; et al., 92i:35135 

Meirmanov, A. M. On the vanishing of the transition phase in a spherically symmetric 
Stefan problem. (Russian) 92m:35281 

— * The Stefan problem. 92m:35282 

Messina, Angelo see de Rienzo, V., 92k:35300 

Mimura, Masayasu see Hilhorst, Danielle; et al., 92k:35296 

Minenko, A.S. The minimum problem for a class of integral functions with an unknown 
domain of integration. (Russian) 92j:35191 

Neittaanmaki, Pekka see Haslinger, Jaroslav, (91m:35004) 

Nicolosi, Francesco see Kersner, Robert, 92i:35132 

(Niezgédka, Marek) see Meirmanov, A. M., 92m:35282 

Nishiura, Yasumasa see Hilhorst, Danielle; et al., 92k:35296 

Nochetto, Ricardo H. (with Verdi, Claudio) Approximation of multidimensional Stefan- 
like problems via hyperbolic relaxation. 92a:35165 

Ockendon, J. R. A class of moving boundary problems arising in industry. 92j:35192 

Oestreich, D. A new approach to a free boundary value problem of Miranda. 92i:35133 

Okhezin, S. P. A mathematical model of the Stefan problem. (Russian) 92f:35148 

Omata, Seiro (with Yamaura, Yoshihiko) A free boundary problem for nonlinear elliptic 
equations. 92¢:35177 

Osipov, V. V. see Gafiichuk, V. V.; et al., 92b:35176 

Pan, Gao Tian An investigation of the free boundary problem for heat conduction. 
(Chinese) 

Pani, Amiya K. (with Das, Purna C.) A priori error estimates for a single-phase quasilinear 
Stefan problem in one space dimension. 924:35311 

Payne, Lawrence E. (with Philippin, G. A.) On two free boundary problems in potential 
theory. 92k:35298 

Philippin, G. A. see Payne, Lawrence E., 92k:35298 

Pilant, Michael (with Rundell, William) Age structured population dynamics. (see 
92a:00040) 

Primicerio, Mario see Fazano, A.; et al., 92k:35293 

Radkevich, E. V. The spectrum of the pencil of a two-phase Stefan problem. (Russian) 
92¢:35127 

— The Gibbs-Thompson correction and conditions for the existence of a classical solution of 
the modified Stefan problem. (Russian) 92k:35299 

— see also Fazano, A.; et al., 92k:35293 

Radyno, Ya. V. (withDinh Phi Bong) A free boundary problem for a second-order 
equation of parabolic type. (Russian) 92m:35283 

Ramm, A.G. Exact inversion of fixed energy scattering data. (see 92a:65021) 

Razinkov, E.N. see Kaliev, I. A., 92b:35178 

Reitich, Fernando see Friedman, Avner, 92c:35125 and Chen, Xinfu, 92m:35277 

de Rienze, V. (with Messina, Angelo) On the solidification of a well-agitated fluid. (Italian. 
English summary) 92k:35300 

Rodrigues, José-Francisco (with Yi, Fa Huai) On a two-phase continuous casting Stefan 
problem with nonlinear flux. 92f:35149 

Rundell, William see Pilant, Michael, (92a:00040) 

Saavedra, Patricia (with Scott, L. Ridgway) Variational formulation of a model free- 
boundary problem. 92a:35166 

Salsa, Sandro see Athanasopoulos, Ioannis, 924:35306 

Scott, L. Ridgway see Saavedra, Patricia, 92a:35166 

Shmarév, S.1. see Diaz Diaz, Jestis Ildefonso, 92m:35278 

Showalter, R. E. (with Walkington, Noel J.) A hyperbolic Stefan problem. 92h:35244 

Shreve, Steven E. see Soner, Halil Mete, 92b:35179 

Solonnikov, V. A. (with Tani, A.) Free boundary problem for a viscous compressible flow 
with a surface tension. 92g:35246 

— Solvability of a problem on the evolution of a viscous incompressible fluid, bounded by a 
free surface, on a finite time interval. (Russian) 92h:35245 

Soner, Halil Mete (with Shreve, Steven E.) A free boundary problem related to singular 
stochastic control: the parabolic case. 92b:35179 

Stredulinsky, Edward see Laurence, Peter, 92m:35279 and 92m:35280 





ate parabolic equations. 


PARTIAL DIFFERENTIAL EQUATIONS 


1992 646 


Stuart, David M. A. A particle-field theory in the form of a hyperbolic free boundary 
problem. 92h:35246 

Sztander, Wanda Existence and uniqueness of solutions of a certain system of parabolic 
nonhomogeneous equations in an area with free boundary. 92h:35247 

Tan, Qi Jian see Bai, Dong Hua; et al., 924:35307 

Tani, A. see Solonnikov, V. A., 92g:35246 

Tarzia, Domingo Alberto Mixed elliptic problems with solutions of nonconstant sign. 
92d:35312 

— Exponential asymptotic behavior in a porous-medium equation with absorption. 
(Spanish. English summary) 92b:35180 

— Neumann-like solution for the two-phase Stefan problem with a simple mushy zone 
model. (Portuguese summary) 924:35313 

— (with Turner, Cristina Vilma) A note on the existence of a waiting time for a two-phase 
Stefan problem. 92k:35301 

— see also Garguichevich, Graciela G., 92e:35176 

Thompson, Russell C. (with Walter, Wolfgang L.) A qualitative study on a parabolic free 
boundary problem. 92i:35134 

— (with Walter, Wolfgang L.) An existence theorem for a parabolic free boundary problem. 
92k:35302 

Ton, Bui An On the classical solution of a single phase Stefan type problem for parabolic 
equations in planar domains with intersecting fixed and free boundaries. (Italian 
summary) 92c:35128 

Turner, Cristina Vilma Diffusion of a solvent in a nonhomogeneous polymer. (Spanish) 
924:35314 

— see also Tarzia, Domingo Alberto, 92k:35301 

Twardowska, Krystyna A free boundary value problem in solidification of binary alloys. 
Deterministic and stochastic approach. (see 91k:35006) 

Verdi, Claudio see Nochetto, Ricardo H., 92a:35165 

Walkington, Noel J. see Showalter, R. E., 92h:35244 

Walter, Wolfgang L. see Thompson, Russell C., 92i:35134 and 92k:35302 

Weder, Ricardo Multidimensional inverse scattering theory. (see 92a:65021) 

Wen, Guo Chun see Gilbert, R. P., 92c:35126 

Xu, Xiang Sheng Existence and regularity theorems for a free boundary problem governing 
a simple climate model. 92h:35248 

— On the regularity of weak solutions of a one-dimensional two-phase degenerate Stefan 
problem with convection. 92¢:35129 

— A diffusion problem involving two free boundaries. 92h:35249 

Xu, Zuo Liang A free boundary problem in axisymmetric nonstationary filtration. (see 
92a:00039) 

Yamamoto, Nobito Uniqueness and existence of the solution of a diffusion equation with 
moving boundaries. 92¢:35130 

Yamaura, Yoshihiko see Omata, Seiro, 92e:35177 

Yang, Xiao Ping Regularity and nonexistence of solutions to a class of free boundary 
problems. (Chinese. English summary) 92¢:35178 

Yi, Fa Huai see Rodrigues, José-Francisco, 92f:35149 

Yin, Hong Ming A free boundary problem describing an irreversible crystallization process. 
92b:35181 

— see also Cannon, John R., 92g:35240 

Yu, Wang Hui Existence of classical solution of a quasilinear Stefan-Signorini problem. 
92g:35247 

Zhan, Tong Sheng (with Luo, Yuan Quan) A method for solving a free boundary value 
problem for dam seepage. (Chinese. English summary) 92i:35135 

Zhao, Jun Ning (with Li, Yi*) A free boundary problem for quasilinear degenerate 
parabolic equations with general degeneracy. 924:35315 

Zhao, Yan Chun see Li, Da Qian; et al., 92g:35244 

Zhuraev, K.O. see Berezovskii, A. A., (92d:00008) 


Items with secondary classifications in 35R35 

Achdou, Yves (with Pironneau, Olivier) The y-method for the Navier-Stokes equations. 
(French summary) 92b:35120 

Adler, Jack (with Herbert, D. M.) Diffusion controlled smoulder propagation parallel to a 
plane surface. 92k:80013 

Aiki, Toyohiko (with Shinoda, Junichi; Kenmochi, Nobuyuki) Periodic stability for some 
degenerate parabolic equations with nonlinear flux conditions. 92m:35144 

Alimov, M. M. Conditions for an extremum of filtration flow rate. (Russian) 92b:76084 

Ambrosetti, Antonio (with Yang, Jian Fu) Asymptotic behaviour in planar vortex theory. 
(Italian summary) 924:35224 

Andreucci, Daniele Existence and uniqueness of solutions to a concentrated capacity 
problem with change of phase. 92g:80006 

Arnautu, Viorel On approximation of the inverse one-phase Stefan problem. 92d:49073 

Aronson, D. G. (with Kamin, Shoshana) Disappearance of phase in the Stefan problem: one 
space dimension. 92e:80002 

Bachelis, Gregory F. (with Massey, Frank J., III) A coin tossing problem of R. L. Rivest. 
92a:60106 

Baiocchi, Claudio (with Pukhnachev, V. V.) Problems with unilateral constraints for 
Navier-Stokes equations, and the problem of a dynamic boundary angle. (Russian) 
92£:76030 

Barbu, Viorel (with Friedman, Avner) Optimal design of domains with free-boundary 
problems. 92a:49073 

Barrett, John W. (with Chakrabarti, Roma; Elliott, Charles M.) Finite element approxima- 
tion of a rigid punch indenting a membrane. 92i:73088 

Bermiidez de Castro, Alfredo (with Muniz, M. C.; Quintela, P.) Numerical solution of a 
Stefan problem arising in the thermoelectrical modelling of aluminium electrolytic cells. 
(see 92m:65005) 

Bocharov, O. B. (with Monakhov, V. N.) Nonisothermal filtration of immiscible fluids with 
variable residual saturations. (Russian) 92h:76080 

Borja, Ronaldo I. (with Kishnani, Sunil S.) On the solution of elliptic free-boundary 
problems via Newton’s method. 92¢:76067 

Bossavit, Alain Mixed elements and a two-phase free-boundary problem in magnetostatics. 
92m:65140 





647 1992 


Brandt, Achi see Mikulinsky, V., (92h:65149) 

Bratus’, A.S. (with Myshkis, A.D.) Extremal eigenvalue problems with a free boundary for 
the Laplace operator and their applications. (Russian) 92c:35084 

(Brebbia, C. A.) see Computational modelling of free and moving boundary problems, 
92m:65004 and 92m:65005 

Chadam, J. (with Ortoleva, P.) A mathematical problem in geochemistry: the reaction- 
infiltration instability. 92f:76082 

Chakrabarti, Roma see Barrett, John W.; et al., 92i:73088 

Chanov, A. V. see Lomonosova, I. V., 92f:65154 

Chen, Xinfu Axially symmetric jets of compressible fluid. 92g:76067 

Chen, Zhi Ming Numerical solutions of two phase continuous casting problem. 924:65174 

Clément, F. A migration-based travel-time formulation for the inversion of 2D seismic 
reflection data. (see 92a:65021) 

Coleman, C.J. A boundary integral approach to Stefan problems with many phase changes. 
92a:65313 

Comparini, Elena (with Manni, Carla) An approximation of the thermal field in a 
continuous casting process of a thin metal layer. 92h:80009 

Cuvelier,C. see Schulkes, R. M.S. M., (92b:65009) 

Dahmardah, H. O. A Fourier series solution of the Crank-Gupta equation. (see 92m:00055) 

Das, Purna C. (with Pani, Amiya K.) A priori error estimates in H' and H? norms for 
Galerkin approximations to a single-phase nonlinear Stefan problem in one space 
dimension. 92¢:65126 

— see also Pani, Amiya K., 92c:65139 and 92i:65169 

Denisova, I. V. (with Solonnikov, V. A.) Solvability in Hélder spaces of a model initial- 
boundary value problem generated by a problem on the motion of two fluids. (Russian. 
English summary) 92e:35126 

van Duijn, C. J. (with Grundy, R. E.) The fresh-salt water interface in a semi-pervious 
aquifer. 92g:86001 

— (with Knabner, P.) Solute transport in porous media with equilibrium and nonequilib- 
rium multiple-site adsorption: travelling waves. 92a:35134 

Elliott, Charles M. see Barrett, John W.; et al., 92i:73088 

Entov, V.M. (with Etingof, P. 1.) Bubble contraction in Hele-Shaw cells. 92m:76139 

Etingof, P. 1. see Entov, V. M., 92m:76139 

Farzan, Ruszldén H. (with Mohamed, Ali Shauket) On a free boundary two-dimensional 
problem. 92¢:65155 

Fazio, Riccardo A moving boundary problem for rate-type materials. (see 92k:35002) 

Frankel, Michael L. Free boundary problems and dynamical geometry associated with 
flames. 92g:80010 

Friedman, Avner * BapualMoHHbie NPHHUMNSI H 3aa4H CO CBOGOTHbIMH rpaHHitaMH. 
(Russian) [Variational principles and free-boundary problems] 92k:35005 

— Optimal control for free boundary problems. 92a:49009 

— see also Barbu, Viorel, 92a:49073 

Gilding, Brian H. (with Kersner, Robert) Diffusion-convection-réaction, frontiéres libres 
et une équation intégrale. (English summary) [Diffusion-convection-reaction, free 
boundaries and an integral equation] 92k:35144 

Gitz, I. G. On the correctness of a model for phase transitions in binary alloys. 92h:80010 

— (with Zal‘tsman, B. B.) On the behaviour of mushy region in a Stefan problem. (see 
92b:65009) 

Grundy, R. E. see van Duijn, C. J., 92g:86001 

Guan, Zhi Cheng Groundwater mass transport and heterogeneous equilibrium chemical 
reaction—a kind of free boundary problem. 92b:80015 

Gurevich, I. L. Nonsymmetric flow around a soft shell. (Russian) 92f:76012 

van Hassel, R.R. Accurate asymptotics for singularly perturbed dy ic free boundary 
problems. 92¢:35015 

Herbert, D. M. see Adler, Jack, 92k:80013 

Hu, Yue see Luo, Yuan Quan; et al., (92a:00039) 

Huang, Zhi Da (with Primicerio, Mario) The surface evaporation problem with Signorini 
boundary condition. 92m:35148 

Hiinlich, Rolf see Model, R., (92k:65004) 

Imai, Hitoshi (with Kawarada, Hideo) A method for finding bifurcation points. (Russian 
and Polish summaries) 92h:35020 

Jensen, Soren S. (with Laitinen, Erkki Juhani; Neittaanmaki, Pekka; Seidman, Thomas I.) 
Computational stability of an initially radial solution of a growth/dissolution problem in 
a nonradial implementation. (see 92b:65009) 

Kadoya, Atsushi (with Kenmochi, Nobuyuki) Shape optimization for multi-phase Stefan 
problems. 92d:49081 

Kamin, Shoshana see Aronson, D. G., 92¢:80002 

Kawarada, Hideo see Imai, Hitoshi, 92h:35020 

Kenmochi, Nobuyuki see Kadoya, Atsushi, 92d:49081 and Aiki, Toyohiko; et al., 92m:35144 

Kersner, Robert see Gilding, Brian H., 92k:35144 

Kessler, David A. (with Levine, Herbert) Spiral selection as a free boundary problem. 
92£:92038 

Kirilich, V.M. (with Myshkis, A. D.) Generalized semilinear hyperbolic Stefan problem on 
a straight line. (Russian) 92e:35110 

Kishnani, Sunil S. see Borja, Ronaldo I., 92c:76067 

Knabner, P. see van Duijn, C. J., 92a:35134 

Kroner, Dietmar Asymptotic expansions for a flow with a dynamic contact angle. 92a:76028 

Kuo, Chung Shéng A variational inequality associated with a lubrication problem. 
92a:49015 

Laitinen, Erkki Juhani see Jensen, Soren S.; et al., (92b:65009) 

Lapin, A. V. Domain decomposition method to realize implicit mesh schemes for some 
singular parabolic equations. 92c:65146 

— Domain decomposition method for grid approximation of two-phase Stefan problem. 
924:65211 

Levine, Herbert see Kessler, David A., 92f:92038 

Li, De Ning A 3-dimensional hyperbolic Stefan problem with discontinuous temperature. 
92g:80009 

Liang, Jin The one-dimensional quasilinear Verigin problem. 92f:35088 

Lin, Xiao-Biao Existence theory for damped gravity waves in a closed rectangular basin. 
92b:76011 





35R Miscellaneous topics involving partial differential equations 


35R35 


Lomonosova, I. V. (with Chanov, A. V.) Inverse problems of determining characteristics of 
ion exchangers from the data of dynamic experiments. (Russian) 92f:65154 

Lackhaus, Stephan Solutions for the two-phase Stefan problem with the Gibbs-Thomson 
law for the melting temperature. 92i:80004 

Luo, Yuan Quan (with Hu, Yue; Xu, Zhong Hai) A numerical solution of the free boundary 
problem and its application. (see 92a:00039) 

Magenes, E. Numerical approximation of nonlinear evolution problems. 92f:65096 

Makela, Marko M. see Mannikké, Timo, (92b:65009) 

Manni, Carla see Comparini, Elena, 92h:80009 

Mannikké, Timo (with Makela, Marko M.) Nonsmooth penalty techniques in control of the 
continuous casting process. (see 92b:65009) 

Marangunic, Pedro R. (with Stampella, Mirta B.) Appearance of mushy regions in a 
symmetrical Stefan problem with vanishing heat capacity. 92c:80012 

Massey, Frank J., III see Bachelis, Gregory F., 922:60106 

Men’shikov, Yu. (with Polyakov, N. V.) Numerical-analytical solution of the water entry 
problem. (see 92m:49004) 

Meyer, Gunter H. Front tracking of free boundaries with curvature terms. (see 92b:65009) 

Mikulinsky, V. (with Brandt, Achi) Multigrid treatment of free-boundary conditions. (see 
92h:65149) 

Milner, Fabio A mixed finite element method for the Cahn-Hilliard and the Sivashinsky 
equations. (Portuguese summary) 92c:65109 

Mischaikow, Konstantin Dynamic phase transitions: a connection matrix approach. 
92b:82091 

Misici, Luciano (with Zirilli, Francesco) An inverse problem for the three-dimensional 
Helmholtz equation with Neumann or mixed boundary conditions: a numerical method. 
(see 92a:65021) 

Model, R. (with Hinlich, Rolf) A moving boundary problem in the 2D-technology 
simulation. (see 92k:65004) 

Mohamed, Ali Shauket see Farzan, Ruszidn H., 92c:65155 

Monakhov, V.N. Problems of the filtration of an incompressible fluid with a composite free 
boundary. (Russian) 92d:76047 

— see also Bocharov, O. B., 92h:76080 

Moussa, Nabil A general computational method for solving nonlinear free boundary value 
problems of plane hydrodynamics. 92g:76020 

Muiiiz, M. C. see Bermudez de Castro, Alfredo; et al., (92m:65005) 

Myshkis, A. D. see Bratus’, A. S., 92¢:35084 and Kirilich, V. M., 92e:35110 

Neittaanmaki, Pekka (with Tiba, Dan) Optimal control for state constrained two-phase 
Stefan problems. 924:49039 

— see also Jensen, Soren S.; et al., (92b:65009) and Numerical methods for free boundary 

, 92b:65009 

Ngé Van Lu’o’c On a free boundary problem of earth dams with separated-variable filtration 
coefficients. (see 92b:65009) 

Nochetto, Ricardo H. On fixed domain approximations to free boundary problems with 
interface estimates. 92a:65299 

— Finite element methods for parabolic free boundary problems. (see 92f:65005) 

— (with Paolini, Maurizio; Verdi, Claudio) Design and efficient implementation of an 
adaptive FEM for parabolic FBPs. (see 92b:65009) 

— (with Paolini, Maurizio; Verdi, Claudio) An adaptive finite element method for two- 
phase Stefan problems in two space dimensions. II. Implementation and numerical 
experiments. 92f:65138 

@ksendal, Bernt A stochastic approach to moving boundary problems. 92g:60104 

Ortoleva, P. see Chadam, J., 92f:76082 

Pani, Amiya K. (with Das, Purna C.) A finite element Galerkin method for a unidimen- 
sional single-phase nonlinear Stefan problem with Dirichlet boundary conditions. 
92¢:65139 

— (with Das, Purna C.) A finite element method for a single phase semilinear Stefan 
problem in one space dimension. 92i:65169 

— see also Das, Purna C., 92¢:65126 

Paolini, Maurizio see Nochetto, Ricardo H.; et al., 92f:65138 and (92b:65009) 

Pawiow, Irena Optimal control of dynamical processes in two-phase systems of solid-liquid 
type. 92g:49002 

Pedregal, Pablo The two-dimensional free coating process. (Spanish. English summary) 
92i:76033 

Pironneau, Olivier see Achdou, Yves, 92b:35120 

Polyakov, N. V. On the numerical solution of a nonlinear boundary value probl 
surface. 92m:65165 

~ see also Men'shikov, Yu., (92m:49004) 

Primicerio, Mario (with Xie, Wei Qing; Shu, Mu Zeng) On a problem in condensed two- 
phase combustion. 92f:80018 

— see also Huang, Zhi Da, 92m:35148 

Pukhnachev, V. V. see Baiocchi, Claudio, 92f:76030 

Quintela, P. see Bermudez de Castro, Alfredo; et al., (92m:65005) 

Radkevich, E. V. Asymptotic expansions of solutions of parabolic boundary value probl 
with a free boundary. (Russian) 92¢:35046 

Ricci, Riccardo (with Xie, Wei Qing) On the stability of some solutions of the Stefan 
problem. 92i:80006 

Rivkind, Vladimir Numerical solution of coupled Navier-Stokes and Stefan equations. 
92g:65114 

(Rozhkovskaya, T. N.) see Friedman, Avner, 92k:35005 

Saccon, Claudio On an evolution problem with free boundary. 92f:49001 

Salvi, Rodolfo The equations of viscous incompressible nonhomogeneous fluids in 
noncylindrical domains: on the existence and regularity. (Italian summary) 92a:35132 

Sanziel, Maria Cristina (with Tarzia, Domingo Alberto) Necessary and sufficient condition 
to obtain n phases in a one-dimensional medium with a flux condition on the fixed face. 
92h:80012 

Schulkes, R.M.S.M. (with Cuvelier, C.) Eigenfrequencies of a viscous, incompressible 
fluid with a capillary free boundary. (see 92b:65009) 

Seidman, Thomas I. see Jensen, Soren S.; et al., (92b:65009) 

Shah, Jayant Properties of energy-minimizing segmentations. 92k:35007 

Shemetov, N. V. The Stefan problem for a hyperbolic heat equation. 92d:35184 


with free 











35R35 


Shinoda, Junichi see Aiki, Toyohiko; et al., 92m:35144 

Shopov, Petr I. Numerical method for free-surface hydrodynamical problems. (see 
92b:65009) 

Shreve, Steven E. (with Soner, Halil Mete) A free boundary problem related to singular 
stochastic control. 92f:93130 

Shu, Mu Zeng see Primicerio, Mario; et al., 92£:80018 

Solonnikov, V. A. An initial-boundary value problem for a Stokes system that arises in the 
study of a problem with a free boundary. (Russian) 92m:76048 

— see also Denisova, I. V., 92e:35126 

Soner, Halil Mete see Shreve, Steven E., 92f:93130 

Soulaimani, Azzeddine Arbitrary Lagrangian-Eulerian description for free and moving 
boundary problems. (see 92a:65021) 

Stampella, Mirta B. see Marangunic, Pedro R., 92c:80012 

Streit, Uwe One-dimensional implicit moving boundary problems: a new front tracking 
approach. 92m:65129 

Struwe, Michael The evolution of harmonic mappings with free boundaries. 92d:58045 

Symes, William W. The reflection inverse problem for acoustic waves. (see 92a:65021) 

Tarzia, Domingo Alberto see Sanziel, Maria Cristina, 92h:80012 

Teshukov, V.M. Long wave approximation for vortex free boundary flows. (see 92b:65009) 

Tiba, Dan see Neittaanmaki, Pekka, 92d:49039 

(Ural‘tseva, N. N.) see Friedman, Avner, 92k:35005 

Verdi, Claudio see Nochetto, Ricardo H.; et al., 92f:65138 and (92b:65009) 

Ward, Michael J. Singular perturbations and a free boundary problem in the modeling of 
field-effect transistors. 92j:35012 

Wood, A.S. A fast implementation of the isotherm migration method. (see 92m:65005) 

(Wrobel, L.C.) see Computational modelling of free and moving boundary problems, 
92m:65004 and 92m:65005 

Xie, Wei Qing Phase transition in binary systems and the binary alloy problem. 92m:80014 

— see also Primicerio, Mario; et al., 92f:80018 and Ricci, Riccardo, 92i:80006 

Xie, Zheng Hui Approximation of nonconforming finite element of free boundary problem. 
(Chinese summary) 92¢:65157 

Xu, Zhong Hai see Luo, Yuan Quan; et al., (92a:00039) 

Yang, Jian Fu Positive solutions of a semilinear elliptic equation and its asymptotic 
behaviour. 92m:35081 

— Existence and asymptotic behavior in planar vortex theory. 92m:35224 

— see also Ambrosetti, Antonio, 924:35224 

Zal‘tsman, B. B. see Gotz, I. G., (92b:65009) 

Zirilli, Francesco see Misici, Luciano, (92a:65021) 


Items listed otherwise than by author 


Computational modelling of free and moving boundary problems * Computational modelling 
of free and moving boundary problems. Vol. 1. 92m:65004 
— * Computational modelling of free and moving boundary problems. Vol. 2. 92m:65005 
Conference: 
Computational Modelling of Free and Moving Boundary Problems * Computational 
modelling of free and moving boundary problems. Vol. 1. 92m:65004 
— * Computational modelling of free and moving boundary problems. Vol. 2. 
92m:65005 
Numerical Methods for Free Boundary Problems * Numerical methods for free boundary 
problems. 92b:65009 
Jyvaskyla * Numerical methods for free boundary problems. 92b:65009 
Numerical methods for free boundary problems * Numerical methods for free boundary 
problems. 92b:65009 
Southampton * Computational modelling of free and moving boundary problems. Vol. 1. 
92m:65004 
— * Computational modelling of free and moving boundary problems. Vol. 2. 92m:65005 


35R45 Partial differential inequalities 


Lojczyk-Krélikiewicz, Irena The unbounded solutions to systems of differential-functional 
inequalities of parabolic type. (Polish summary) 92g:35248 


Items with secondary classifications in 35R45 

Byszewski, Ludwik Strong maximum and minimum principles for parabolic problems with 
nonlocal inequalities. 92¢:35025 

Dhaigude, D. B. Sturmian theorems for the time degenerate parabolic inequalities. 
92j:35008 

Krejéi, Pavel Hysteresis memory preserving operators. (Czech summary) 92k:58039 

Lojczyk-Krélikiewicz, Irena Systems of parabolic differential-functional inequalities in 
arbitrary domains. (Polish summary) (see 92c:00013) 

Malec, Marian (with Selvaggi, R.; Sisto, I.) Functional-differential inequalities of parabolic 
type. 92i:35122 

Marino, Antonio (with Tosques, M.) Some variational problems with lack of convexity and 
some partial differential inequalities. 92b:49006 

Selvaggi, R. see Malec, Marian; et al., 92i:35122 

Sisto, I. see Malec, Marian; et al., 92i:35122 

Spring, David On the regularity of solutions in convex integration theory. 92¢:35044 

Tosques, M. see Marino, Antonio, 92b:49006 


35R50 Partial differential equations of infinite order 


Le Van Hap see Tran-Di’c Van, 92c:35131 

Odinokov, O. V. Differential operators of infinite order with symbols from the Gevrey class. 
(Russian) 92k:35303 

Tran-Di’c Van (with Le Van Hap) On the uniqueness of the solution for the boundary value 
problem of infinite order. 92¢:35131 


Items with secondary classifications in 35R50 


Agliardi, Rossella Pseudo-differential operators of infinite order on BOB'S") and 
applications to the Cauchy problem for some elementary operators. (Italian summary) 


PARTIAL DIFFERENTIAL EQUATIONS 


92m:35286 

Gorenflo, Rudolf see Tran-Dii’c Van; et al., 92b:46046 and 92i:46040 

Groshev, L. N. Spaces of almost periodic functions of infinite order and theorems on the 
solvability of nonlinear equations. (Russian) 92¢:46063 

Ha Huy Bang see Tran-Di’c Van; et al., 921:46040 

Le Van Hap see Tran-Dii’c Van; et al., 92b:46046 

Odinokov, O. V. On the theory of the well-posedness of the Cauchy problem in a complex 
domain. (Russian) 92j:35082 

Tran -Di’c Van (with Gorenflo, Rudolf; Le Van Hap) Sobolev-Orlicz spaces of infinite order 
and nonlinear differential equations. 92b:46046 

— (with Ha Huy Bang; Gorenflo, Rudolf) On Sobolev-Orlicz spaces of infinite order for a 
full Euclidean space. 92i:46040 


35R60 Partial differential equations with randomness 
[see also 60H15] 


Bairamov, F. D. see Sirazetdinov, T. K., 92d:35317 

Balzano, Michele (with Paderni, Gabriella) Dirichlet problems in domains bounded by thin 
layers with random thickness. 92a:35167 

Bellomo, N. (with Bonzani, I.; Sobczyk, Kazimierz) On nonlinear wave processes generated 
by random signals. 92m:35284 

Bonzani, I. see Bellomo, N.; et al., 92m:35284 

Dzundza, A. I. The problem of estimating calculated actions in hyperbolic systems. 
(Russian) 92h:35250 

Elezovi¢é, Neven (with Mikeli¢é, Andro) On the stochastic Cahn-Hilliard equation. 
92h:35251 

Flandoli, Franco A stochastic reaction-diffusion equation with multiplicative noise. 
92d:35316 

Griniv,O.O. The central limit theorem for the Burgers equation with random initial 
conditions. (Russian) (see 92c:00016) 

Guzev, M. A. (with Klyatskin, V.I.) Plane waves in a layered weakly dissipative randomly 
inhomogeneous medium. 92b:35182 

Klyatskin, V. I. Plane waves in layered random media. The role of boundary conditions. 
(see 92i:00020) 

— see also Guzev, M. A., 92b:35182 

Kolesnik, A. D. Lie symmetries of the equation of Markov random evolution in the plane. 
(Russian) 92k:35304 

Lenhart, Suzanne M. (with Yamada, Naoki) Perron’s method for viscosity solutions 
associated with piecewise-deterministic processes. 92i:35136 

Manthey, Ralf Convergence of successive approximation for parabolic partial differential 
equations with additive white noise. 92a:35168 

Mikeli¢, Andro see Elezovi¢é, Neven, 92h:35251 

Paderni, Gabriella see Balzano, Michele, 92a:35167 

Pavlenko, V. N. On the existence of semiregular solutions of the first boundary value prob- 
lem for an equation of parabolic type with a discontinuous nonmonotone nonlinearity. 
(Russian) 92a:35169 

Pyasetskaya, T. E. Oscillations of a string in the presence of random perturbations. 
(Russian) 92¢:35132 

Rockner, Michael (with Zegarlitiski, Bogustaw) The Dirichlet problem for quasi-linear 
partial differential operators with boundary data given by a distribution. 92a:35170 

Schmalfuss, B. Long-time behaviour of the stochastic Navier-Stokes equation. 92e:35179 

Sirazetdinov, T. K. (with Bairamov, F. D.) Stability and an estimate for the transient in 
systems with distributed parameters. (Russian. English summary) 92d:35317 

Sobcezyk, Kazimierz see Bellomo, N.; et al., 92m:35284 

Srumova, F. V. Resonance properties of energy radiated by randomly distributed sources of 
oscillations. (Russian) 

Talay, Denis Simulation of solutions of stochastic differential systems for Monte Carlo 
computations. 924:35318 

Trigub, S. G. Justification of the Fourier method for solving a boundary value problem in 
mathematical physics with random initial conditions. (Russian) 

Yamada, Naoki see Lenhart, Suzanne M., 92i:35136 

Zegarlitiski, Bogustaw see Réckner, Michael, 92a:35170 


Items with secondary classifications in 35R60 


Albeverio, Sergio (with Iwata, Koichiro; Kolsrud, T.) Random fields as solutions of the 
inhomogeneous quaternionic Cauchy-Riemann equation. I. Invariance and analytic 
continuation. 92a:81105 

Andreev, A. A. (with Chadaev, V. V.) A boundary value problem for a system of first-order 
equations with distributed parameters. (Russian) (see 92f:35003) 

Bally, Viad On the connection between the Malliavin covariance matrix and Hérmander’s 
condition. 92k:60144 

Barlow, Martin T. Random walks and diffusions on fractals. (see 92m:00054) 

Barnes, C. (with Pendry, J. B.) Multiple scattering of waves in random media: a transfer 
matrix approach. 92m:73028 

Belopol/skaya, Ya. I. Second-order parabolic equations in principal fibre bundles and 
associated vector bundles [in Topological and geometric methods of analysis (Russian), 
29-42, Voronezh. Gos. Univ., Voronezh, 1989; MR 91e:58209]. (see 92b:58001) 

Bogachev, L. V. (with Molchanov, S. A.) Mean field models in the theory of random media. 
III. (Russian. English summary) 92k:82057 

Bondarev, B. V. Averaging in parabolic systems that are subject to weakly dependent 
random actions. The L2-approach. (Russian. Ukrainian summary) 92e:35080 

Brassesco, Stella Some results on small random perturbations of an infinite-dimensional 
dynamical system. 92k:60125 

Bruno, Oscar P. The effective conductivity of composites. 92k:82074 

Brzeiniak, Zdzistaw (with Capinski, Marek; Flandoli, Franco) Stochastic partial differential 
equations and turbulence. 924:35231 

Buckdahn, Rainer (with Pardoux, Etienne) Monotonicity methods for white noise driven 
quasi-linear SPDEs. 92k:60140 

Capiriski, Marek see Brzeéniak, Zdzistaw; et al., 92d:35231 








649 1992 


Caraballo Garrido, Tomas Stability of the second moment for the Ité linear equation with 
perturbations. (Spanish. English summary) (see 92b:00044) 

Carmona, René (with Lacroix, Jean) * Spectral theory of random Schrédinger operators. 
92k:47143 

Cattiaux, Patrick Calcul stochastique et opérateurs dégénérés du second ordre. I. 
Résolvantes, théoréme de Hérmander et applications. (English summary) [Stochastic cal- 
culus and second-order degenerate operators. I. Resolvents, Hérmander theorem, applica- 
tions] 92f:60098 

— Calcul stochastique et opérateurs dégénérés du second ordre. II. Probléme de Dirichlet. 
(English summary) [Stochastic calculus and second-order degenerate operators. II. The 
Dirichlet problem] 92f:60099 

Chadaev, V. V. see Andreev, A. A., (92f:35003) 

Chen, Mu Fa (with Zhou, Xian Yin) Applications of Malliavin calculus to stochastic 
differential equations with time-dependent coefficients. 92i:60107 

Cheremshantsev, S. E. Averaged wave operators in the problem of scattering by a Brownian 
particle. (Russian) 92b:35116 

Chow, Pao Liu Stochastic differential equations in infinite dimensions. 92e:35167 

— Stochastic analysis and quasilinear parabolic equations. 92a:35022 

Dong, Rui-Tao (with Tam, Luen-Fai; Wong, Wing Shing; Yau, Stephen S.-T.) Structure and 
classification theorems of finite-dimensional exact estimation algebras. 92j:93125 

von Dreifus, Henrique (with Klein, Abel) Localization for random Schrédinger operators 
with correlated potentials. 92i:82061 

Dunin, S. Z. (with Maksimov, G. A.) Scattering of scalar fields by statistically rough 
surfaces. (Russian) 92g:35164 

Faris, William G. Localization estimates for off-diagonal disorder. 92f:82032 

— (with Tsay, Woody J.) Wave scattering in random media. 92f:82033 

Flandoli, Franco see Brzeiniak, Zdzistaw; et al., 92d:35231 

Gandarias-Nuifiez, M. L. (with Ramirez-Labrador, J.) An exact solution of the Fokker- 
Planck equation for a potential involving Airy functions. (Spanish. English summary) (see 
92m:00052) 

— see also Ramirez-Labrador, J., (92m:00052) 

Gatarek, Dariusz On convergence of solutions of deterministic and stochastic hyperbolic 
equations. (Italian summary) 92h:60094 

Gishlarkaev, V. I. Uniqueness of the solution of the Cauchy problem in two-dimensional 
case for the Hopf equation and the direct Kolmogorov equation. (Russian) 924:35233 

Glimm, James Nonlinear and stochastic phenomena: the grand challenge for partial 
differential equations. 92i:35081 

Gurbatov, S. N. (with Malakhov, A. N.; Saichev, A. I.) *& Hexmnettupie cryyattubie BONHEI B 
cpeax 6e3 aucnepcuu. (Russian) [Nonlinear random waves in media without dispersion] 
92£:76001 

Guzev, M. A. A space-time approach in the statistical theory of nonstationary wave 
processes. (Russian) 92m:35153 

— (with Klyatskin, V. I.) Approximation of the parabolic equation and the wavefield of a 
point source in a layered random medium. 92i:35065 

Gzyl, Henryk Probabilistic approach to wave propagation problems. III. Brownian local 
times and waves in layered media. 92i:35076 

Herbst, Ira W. (with Pitt, L.D.) Diffusion equation techniques in stochastic monotonicity 
and positive correlations. 92f:60130 

Holden, Helge (with Risebro, Nils Henrik) A stochastic approach to conservation laws. (see 
92a:00036) 

— (with Risebro, Nils Henrik) Stochastic properties of the scalar Buckley-Leverett equation. 
92h:35136 

Ioffe, Dimitri On some applicable versions of abstract large deviations theorems. 
92m:60026 

Iwata, Koichiro see Albeverio, Sergio; et al., 92a:81105 

Kabanov, Yu. M. (with Pergamenshchikov, S.M.) Singularly perturbed stochastic equations 
and partial differential equations. (Russian) 924:60063 

Karatzas, Ioannis (with Shreve, Steven E.) * Brownian motion and stochastic calculus. 
92h:60127 

Klein, Abel The supersymmetric replica trick and smoothness of the density of states for 
random Schrédinger operators. 92b:82076 

— see also von Dreifus, Henrique, 92i:82061 

Kiosek-Dygas, M. M. see Naeh, T.; et al., 92i:60115 

Klyatskin, V.I. see Guzev, M. A., 92i:35065 

Kolesnik, A. D. (with Turbin, A. F.) An infinitesimal hyperbolic operator of Markov 
random evolutions in R". (Russian. English summary) 92d:60076 

Kolsrud, T. see Albeverio, Sergio; et al., 92a:81105 

Krawvaritis, Dimitrios Random semilinear evolution equations in Banach spaces. 92b:47110 

Lacroix, Jean see Carmona, René, 92k:47143 

Laigle, P. (with Mastrangelo, Victor; Vial, D.; Xhemalce, S.) Résolution stochastique de 
systémes d’équations aux dérivées partielles du type parabolique affine et applications 
physiques. [Stochastic solution of affine parabolic partial differential equations and 
physical applications] 92i:35060 

Leland, Robert Patton A white-noise approach to modeling laser propagation in atmospheric 
turbulence. 92k:86003 

Maksimov, G. A. see Dunin, S. Z., 92g:35164 

Malakhov, A. N. see Gurbatov, S. N.; et al., 92f:76001 

Marnevskaya, L. A. (with Yanovich, L. A.) On the mean value and covariance of the 
solution of a type of stochastic partial differential equation. (Russian. English summary) 


92g:60086 

Maslowski, Bohdan (with Seidler, Jan; Vrkot, Ivo) An averaging principle for stochastic 
evolution equations. II. (Czech summary) 92j:60076 

Mastrangelo, Victor see Laigle, P.; et al., 921:35060 

Masuda, Takao Absolute continuity of distributions of solutions of anticipating stochastic 
differential equations. 92¢:60115 

Matkowsky, Bernard J. see Naeh, T.; et al., 92i:60115 

Mikami, Toshio Asymptotic analysis of invariant density of randomly perturbed dynamical 
systems. 92¢:60103 

Molchanov, S. A. see Bogachev, L. V., 92k:82057 

Naeh, T. (with Kiosek-Dygas, M. M.; Matkowsky, Bernard J.; Schuss, Z.) Uniform solution 


35R Miscellaneous topics involving partial differential equations 


35R70 


of Kramers’ problem by a direct approach. 92i:60115 

Nair, Balan (with White, Benjamin S.) High-frequency wave propagation in random 
media—a unified approach. 92j:73027 

— see also White, Benjamin S., 92k:73029 

Oksendal, Bernt Weighted Sobolev inequalities and harmonic measure associated with 
quasiregular functions. 92k:60181 

Ouknine, Youssef Comparaison et non-confluence des solutions d’équations différentielles 
stochastiques unidimensionnelles. [Comparison and nonconfluence of the solutions of 
one-dimensional stochastic differential equations] 92f:60108 

Ozawa, Shin Fluctuation of spectra in random media. II. 92j:35133 

Pardoux, Etienne see Buckdahn, Rainer, 92k:60140 

Pendry, J. B. see Barnes, C., 92m:73028 

Pergamenshchikov, S. M. see Kabanov, Yu. M., 924:60063 

Perthame, Benoit Singular perturbations of a dynamical system with a turning point—PDE 
methods. 92j:35011 

Pesquera, L. see Valle, A.; et al., 92a:82116 

Pitt, L. D. see Herbst, Ira W., 92f:60130 

Ramirez-Labrador, J. (with Gandarias-Nufiez, M. L.) A symmetry solution of the Fokker- 
Planck equation with potential depending on some trigonometric functions. (Spanish. 
English summary) (see 92m:00052) 

— see also Gandarias-Niiiez, M. L., (92m:00052) 

Risebro, Nils Henrik see Holden, Helge, 92h:35136 and (92a:00036) 

Rodriguez, Miguel Angel see Valle, A.; et al., 92a:82116 

Rozovskii, B. L. * Stochastic evolution systems. 92k:60136 

Saichev, A. I. see Gurbatov, S. N.; et al., 92f:76001 

Schuss, Z. see Naeh, T.; et al., 921:60115 

Seidler, Jan see Maslowski, Bohdan; et al., 92j:60076 

Shreve, Steven E. see Karatzas, Ioannis, 92h:60127 

Sobezyk, Kazimierz Korteweg-de Vries solitons in a randomly varying medium. 92k:35249 

Tam, Luen-Fai see Dong, Rui-Tao; et al., 92j:93125 

Tsay, Woody J. see Faris, William G., 92f:82033 

Turbin, A. F. see Kolesnik, A. D., 92d:60076 

Twardowska, Krystyna A free boundary value problem in solidification of binary alloys. 
Deterministic and stochastic approach. (see 91k:35006) 

Ueno, Sueo Stochastic approach to the Cauchy problem of linearized Couette flow. 
92g:76071 

Ustiinel, Ali Silleyman Hypoellipticity of the stochastic partial differential operators. 
92d:60067 

Valle, A. (with Rodriguez, Miguel Angel; Pesquera, L.) Diffusion in a continuous medium 
with space-correlated disorder. 92a:82116 

Varadhan, S. R.S. On the derivation of conservation laws for stochastic dynamics. 
92a:60211 

Varsan, C. Approximation for a Goursat problem of hyperbolic controlled stochastic 
differential equations. (see 92m:49004) 

Vial, D. see Laigle, P.; et al., 92i:35060 

Vrkoé, Ivo see Maslowski, Bohdan; et al., 92j:60076 

White, Benjamin S. (with Nair, Balan) Stochastic geometry and the intensity of random 
waves. 92k:73029 

— see also Nair, Balan, 92j:73027 

Wong, Wing Shing see Dong, Rui-Tao; et al., 92j:93125 

Xhemalce, S. see Laigle, P.; et al., 92i:35060 

Yan, Jia An (with Zhang, Tu Sheng) Dirichlet forms and symmetric diffusions on a 
bounded domain in R?. 92e:60150 

Yanovich, L. A. see Marnevskaya, L. A., 92g:60086 

(Yarkho, A.) see Rozovskii, B. L., 92k:60136 

Yau, Stephen S.-T. see Dong, Rui-Tao; et al., 92j:93125 

Yurinskii, V. Homogenization error estimates for random elliptic operators. 92j:60079 

Zhang, Tu Sheng see Yan, Jia An; et al., 92e:60150 

Zhou, Xian Yin see Chen, Mu Fa; et al., 92i:60107 


35R70 PDE with multivalued right-hand sides 


Aubin, Jean-Pierre (with Frankowska, Halina) Systémes hyperboliques d’inclusions 
aux dérivées partielles. (English summary) [Hyperbolic systems of partial differential 
inclusions] 92a:35171 

Dawidowski, Marian (with Kubiaczyk, Ireneusz) An existence theorem for the generalized 
hyperbolic equation z7, € F(x, y, z) in Banach space. 92£:35150 

— Hyperbolic differential inclusions with nonconvex right hand side. 92k:35305 

Feireisl, Eduard A note on uniqueness for parabolic problems with discontinuous nonlinear- 
ities. 92d:35319 

Frankowska, Halina see Aubin, Jean-Pierre, 92a:35171 

Kubiaczyk, Ireneusz see Dawidowski, Marian, 92f:35150 

Marano, Salvatore A. Classical solutions of partial differential inclusions in Banach spaces. 
92h:35252 

Teodoru, Georgeta Absolutely continuous solutions of Cauchy problem for a multi-valued 
hyperbolic equation. (Romanian summary) 92¢:35133 

— Continuous selections for multifunctions satisfying the Carathéodory type conditions. 
The Cauchy problem associated to a multi-valued equation. (Romanian summary) 
92k:35306 

— Continuous selections of multi-valued maps with nonconvex right-hand side and the 
Goursat problem for the multi-valued hyperbolic equation 07z/Axdy € F(x, y, z). 
92¢:35134 

— An application of the contraction principle of Covitz and Nadler to the Darboux problem 
for a multivalued equation. 92d:35320 

Vityuk, A. N. Existence of solutions of a class of multivalued partial differential equations. 
(Russian. Ukrainian summary) 92b:35183 


Items with secondary classifications in 35R70 


Makhmudov, E. N. Problems on the extremum for discrete and differential inclusions with 
distributed parameters of hyperbolic type. (Russian. Ukrainian summary) 92c:49016 





35R70 


Naselli Ricceri, Ornella On some classes of implicit partial differential equations in Banach 
spaces. (Italian summary) 92b:47104 


35R99 None of the above, but in this section 


Items with secondary classifications in 35R99 


Kossowski, Marek PDE admitting Lagrangian solutions with nontrivial homotopy 
invariants (z-degree, polarization index, Maslov period). 92f:58202 


35Sxx Pseudodifferential operators and other 
generalizations of partial differential operators 
[see also 47G30, 58G15] 


Taylor, Michael E. * Pseudodifferential operators and nonlinear PDE. 92j:35193 


Items with secondary classifications in 35Sxx 
Wong, M. W. * An introduction to pseudo-differential operators. 92b:47083 


35S05 General theory of ‘’“YDO 


Amosov, B. A. Approximate solution of elliptic pseudodifferential equations on a smooth 
closed curve. (Russian. English and German summaries) 92g:35249 

Baev, A. D. An a priori estimate for solutions of boundary value problems for a class of 
degenerate pseudo-differential equations. (Russian) (see 92e:35003) 

Berhanu, S. (with Chanillo, Sagun) Boundedness of the FBI transform on Sobolev spaces 
and propagation of singularities. 92k:35307 

Chanillo, Sagun see Berhanu, S., 92k:35307 

Dinh Nho Hao see Tran-Di’c Van 

Drin’, Ya. M. see Gorodetskii, V. V., 92k:35308 

Gorodetskii, V. V. (with Drin’, Ya. M.) Parabolic pseudodifferential equations in spaces of 
generalized periodic functions. (Russian. English summary) 92k:35308 

Hounie, Jorge A class of bounded pseudo-differential operators. 92e:35180 

Ito, Masato Parametrices for some pseudo-differential operators. 92¢:35135 

Kajitani, Kunihike (with Wakabayashi, Seiichiro) Propagation of singularities for several 
classes of pseudodifferential operators. (French summary) 92m:35285 

Kozhanov, A. I. Some remarks on pseudohyperbolic equations with third-order dissipation 
of variable direction. (Russian) (see 92e:35003) 

Lai, Shao Yong A new result on L? boundedness of pseudodifferential operators with 
nonregular symbols. (Chinese. English summary) 92h:35253 

Lerner, Nicolas (with Nourrigat, J.) Lower bounds for pseudo-differential operators. 
(French summary) 92a:35172 

Makhortov, S. D. Algebra of degenerate pseudodifferential operators. (Russian) (see 
92e:35003) 

Nourrigat, J. see Lerner, Nicolas, 92a:35172 

Tran Di’c Van (with Dinh Nho Hao) Pseudodifferential operators with real analytic 
symbols and approximation methods for pseudodifferential equations. 

Umarov, S. R. An algebra of pseudodifferential operators with variable analytic symbols and 
the well-posedness of the corresponding equations. (Russian) 92g:35251 

— Cn the well-posedness of systems of pseudodifferential equations with variable analytic 
symbols. (Russian) 92g:35250 

Wakabayashi, Seiichiro see Kajitani, Kunihiko, 92m:35285 


Items with secondary classifications in 35S05 

Agranovich, M.S. Spectral properties of elliptic operators of negative order. (see 
92b:35006) 

Amosov, B. A. On the numerical solution of elliptic pseudodifferential equations on a 
smooth closed curve. 924:65166 

Baskakov, A.G. Wiener’s theorem and asymptotic estimates for elements of inverse 
matrices. (Russian) 92g:47049 

Birman, M. Sh. (with Karadzhov, Georgi E.; Solomyak, M. Z.) Boundedness conditions 
and spectrum estimates for the operators b(X)a(D) and their analogs. (see 92g:35153) 

Boimatov, K. Kh. Distribution of eigenvalues of polynomial pencils of pseudodifferential 
operators on a compact manifold without boundary. (Russian) 92i:58186 

— Spectral asymptotics of nonselfadjoint pseudodifferential operators in bounded domains. 
(Russian) 92k:35202 

— Speciral asymptotics of linear and nonlinear pencils of pseudodifferential operators that 
are elliptic in the Douglis-Nirenberg sense. (Russian) 92m:58141 

Budaev, B. V. Diffraction of elastic waves by wedge-shaped structures. (Russian. English 
summary) 92a:35118 

Cancelier, C. E. (with Chemin, Jean-Yves) Sous-ellipticité d’opérateurs intégro-différentiels 
vérifiant le principe du maximum. (English summary) [Subellipticity of integro- 
differential operators satisfying the maximum principle] 92k:45023 

Cattiaux, Patrick Calcul stochastique et opérateurs dégénérés du second ordre. I. 
Résolvantes, théoréme de Hérmander et applications. (English summary) [Stochastic cal- 
culus and second-order degenerate operators. I. Resolvents, Hérmander theorem, applica- 
tions] 92f:60098 

Chemin, Jean-Yves see Cancelier, C. E., 92k:45023 

Chkadua, O. O. see Natroshvili, D. G.; et al., 92e:35162 

Daletskii, A. Yu. On a quasiclassical approximation for a class of infinite-dimensional 
pseudodifferential equations. (Russian) 92g:35220 

Dasgupta, N. see Roy Chowdhury, A., 92h:35219 

Dinh Nho Hao see Tran-Dii’c Van; et al., 92h:35046 

Egorov, Yurii Viadimirovich (with Nguen Min’ Chi) Maximally hypoelliptic operators with 
a noninvolutive characteristic set. (Russian) 92i:35034 

Epstein, Charles (with Melrose, Richard B.; Mendoza, Gerardo A.) Resolvent of the 
Laplacian on strictly pseudoconvex domains. 92i:32016 

Georgiev, Vladimir S. see Kovachev, V. Khr., 92j:58107 





PARTIAL DIFFERENTIAL EQUATIONS 


1992 650 


Gérard, Patrick (with Golse, Francois) Averaging regularity results for PDEs under 
transversality assumptions. 92k:35044 

Gevorgyan, O. V. Estimates for monomials in terms of quasipolynomials and the coercivity 
of quasidifferential operators. (Russian. English and Armenian summaries) 92c:35006 

Golse, Francois see Gérard, Patrick, 92k:35044 

Gorenflo, Rudolf see Tran-Dii’c Van; et al., 92h:35046 

Herbst, Ira W. (with Skibsted, Erik) Time-dependent approach to radiation conditions. 
92k:47140 

Hirschmann, Tankred * Pseudo-differential operators and asymptotics on manifolds with 
corners. V. 92h:58192e 

Jang, Lee-Chae Some properties of hypoelliptic pseudodifferential operators. 

Karadzhov, Georgi E. see Birman, M. Sh.; et al., (92g:35153) 

Kovachev, V. Khr. (with Georgiev, Vladimir S.) A counterpart of the Poincaré group for 
pseudodifferential operators. 92j:58107 

Marschall, Jiirgen Weighted parabolic Triebel spaces of product type. Fourier multipliers 
and pseudo-differential operators. 92m:47104 

McLean, William Local and global descriptions of periodic pseudodifferential operators. 
92£:47055 

Melrose, Richard B. Pseudodifferential operators, corners and singular limits. 92m:58134 

— see also Epstein, Charles; et al., 92i:32016 

Mendoza, Gerardo A. Solvability of partial differential equations. (Spanish) 92i:35002 

— see also Epstein, Charles; et al., 92i:32016 

Mkhitaryan, K. N. Classical solutions of equations of Vlasov type. Existence. (Russian) 
92a:35153 

— Classical solutions of equations of Vlasov type. Uniqueness and continuous dependence 
on the initial condition. (Russian) 92a:35154 

— Classical solutions of equations of Vlasov type. Smooth dynamical systems. (Russian) 
92a:35155 

Mourre, E. Remarques sur le caractére algébrique du procédé pseudo-différentiel et de 
certaines de ses extensions. I. (English summary) [Remarks on the algebraic character of 
the pseudodifferential procedure and some of its extensions. I] 92a:58139 

Nagase, Michihiro (with Umeda, Tomio) Weyl quantized Hamiltonians of relativistic 
spinless particles in magnetic fields. 92a:81030 

Natroshvili, D.G. (with Chkadua, O. O.; Shargorodskii, E.M.) Mixed problems for 
homogeneous anisotropic elastic media. (Russian. English and Georgian summaries) 
92¢e:35162 

Nguen Min’ Chi Fourth-order hypoelliptic pseudodifferential operators with a noninvolutive 
characteristic set. (Russian) 92a:35042 

— see also Egorov, Yurii Vladimirovich, 92i:35034 

Nourrigat, J. Systémes sous-elliptiques. II. [Subelliptic systems. II] 92£:35048 

Pan, Yi Biao (with Sogge, Christopher D.) Oscillatory integrals associated to folding 
canonical relations. 92e:58210 

Petrini, M. (with Sordoni, V.) Propagation of singularities for a class of hyperbolic 
operators with triple characteristics. 92f:35013 

Plamenevskii, B. A. (with Rozenblyum, G. V.) On the index of pseudodifferential operators 
with isolated singularities in the symbols. (Russian) 92h:58188 

Popescu, Emil Sur les sémi-groupes de Feller et les opérateurs pseudo-différentiels. [On 
Feller semigroups and pseudodifferential operators] 92m:47097 

Préssdorf, Siegfried (with Schneider, Reinhold) A spline collocation method for multidi- 
mensional strongly elliptic pseudodifferential operators of order zero. 92f:65142 

— (with Schneider, Reinhold) Convergence of spline approximation methods for periodic 
elliptic pseudodifferential equations. 92k:65169 

Rajeev, S.G. Embedding Yang-Mills theory into universal Yang-Mills theory. 92j:58008 

Rempaia, Jan A. On a proof of the boundedness and nuclearity of pseudodifferential 
operators in R". 92b:47080 

Roy Chowdhury, A. (with Dasgupta, N.) Pseudo-differential operators, BKP equation and 
Weierstrass g(x) function. 92h:35219 

Rozenblyum, G. V. see Plamenevskii, B. A., 92h:58188 

Schneider, Reinhold see Préssdorf, Siegfried, 92f:65142 and 92k:65169 

Schulze, Bert-Wolfgang * Pseudo-differential operators and asymptotics on manifolds with 
corners. I. 92h:58192a 

— Topologies and invertibility in operator spaces with symbolic structures. 92b:47081 

— * Pseudo-differential operators and asymptotics on manifolds with corners. III. 
92h:58192c 

— * Pseudo-differential operators and asymptotics on manifolds with corners. IV. 
92h:58192d 

— * Pseudo-differential operators and asymptotics on manifolds with corners. VI. 
92h:58193 

— Mellin representations of pseudo-differential operators on manifolds with corners. 
92b:58226 

— * Pseudo-differential operators and asymptotics on manifolds with corners. VIII. 
92g:58127 

— * Pseudo-differential operators and asymptotics on manifolds with corners. VII. 
92h:58194 

Schwab, C. (with Wendland, Wolfgang L.) On the numerical integration of singular surface 
integrals in the BEM. 92k:65040 

Shargerodskii, E. M. see Natroshvili, D. G.; et al., 92e:35162 

Skibsted, Erik see Herbst, Ira W., 92k:47140 

Smith, Hart F. Parametrix construction for a class of subelliptic differential operators. 
92h:35049 

Sogge, Christopher D. see Pan, Yi Biao, 92e:58210 

Sohrab, Houshang H. Normal solvability criteria for certain pseudo-differential operators 
with nontemperate symbols. 92b:47082 

Solomyak, M. Z. see Birman, M. Sh.; et al., (92g:35153) 

Sordoni, V. see Petrini, M., 92f:35013 

Tervo, Jouko On global regularity and solvability of linear pseudo-differential equations. 
92c:47064 

— On realizations and positivity of linear integral operators. 92k:47097 

— On equality of minimal and maximal realizations. 92h:47077 

Tran-Di’c Van (with Dinh Nho Hao; Trinh Ngoc Minh; Gorenflo, Rudolf) On the Cauchy 





651 1992 


problems for systems of partial differential equations with a distinguished variable. 
92h:35046 

Trinh Ngoc Minh see Tran-Dii’c Van; et al., 92h:35046 

Umeda, Tomio see Nagase, Michihiro, 92a:81030 

Unterberger, André A relativistic pseudodifferential analysis. 92m:58135 

Vaillant, Jean Léon Conditions d’hyperbolicité des systemes. (English summary) [Hyperbol- 
icity conditions for systems of linear partial differential operators] 92h:35125 

Wendland, Wolfgang L. see Schwab, C., 92k:65040 

Zaidman, Samuel * Distributions and pseudo-differential operators. 92g:47082 


35S10 Initial value problems for ‘DO 


Wei, Guang Zu Uniqueness and continuous dependence of solutions to Cauchy problems 
for pseudodifferential equations of order m. (Chinese) 92i:35137 


Items with secondary classifications in 35S10 

Gindikin, S.G. see Volevich, L. R., 92i:35001 

Naumkin, P. I. (with Shishmarév, I. A.) Asymptotic behavior as ft — 0o of solutions of a 
nonlinear nonlocal Schrédinger equation. (Russian) 92h:35216 

Shishmarév, I. A. see Naumkin, P. I., 92h:35216 

Volevich, L. R. (with Gindikin, S.G.) The Cauchy problem. (Russian) 92i:35001 


35S15 Boundary value problems for ‘’DO 
Agliardi, Rossella Pseudo-differential operators of infinite order on 9\2)(Q”) and 


applications to the Cauchy problem for some elementary operators. (Italian summary) 
92m:35286 


FINITE DIFFERENCES AND FUNCTIONAL EQUATIONS 


39-01 


Kracht, Manfred W. (with Kreyszig, Erwin) On singular integral operators and generaliza- 
tions. 92f:47052 

Kreyszig, Erwin see Kracht, Manfred W., 92f:47052 

Ponce, Gustavo see Kenig, Carlos E.; et al., 92d:35081 

Taniguchi, Kazuo A fundamental solution for a degenerate hyperbolic operator of second 
order and Fourier integral operators of complex phase. 92m:35185 

Tervo, Jouko On the spectra of singularities of Fourier series equations. 92c:47042 

— On realizations of Fourier series operators. 92c:47043 

Vega, Luis see Kenig, Carlos E.; et al., 92d:35081 


Items listed otherwise than by author 


Estimates and asymptotics for discrete spectra of integral and differential equations 
* Estimates and asymptotics for discrete spectra of integral and differential equations. 
92g:35153 

Leningrad * Estimates and asymptotics for discrete spectra of integral and differential 
equations. 92g:35153 


Mathematical Physics * Estimates and asy 
differential equations. 92g:35153 


ics for di 





spectra of integral and 


35S35 Topological aspects: intersection cohomology, stratified 
sets, etc. [see also 32C38, 32840, 32860, 58G07] 


Items with secondary classifications in 35S35 
Grubb, Gerd (with Hérmander, Lars) The transmission property. 92f:58175 
Hirschmann, Tankred Functional analysis in cone and edge Sobolev spaces. 924:58203 





Duduchava, R. V. (with Natroshvili, D. G.; Shargorodskii, E.M.) Boundary value probl 





of the mathematical theory of cracks. (Russian and Georgian summaries) 92d:35321 

Figol’, V. V. A boundary value problem for equations with pseudodifferential operators. 
(Russian) 924:35322 

IVkiv, V.S. (with Polishchuk, V. N.; Ptashnik, B. I.) A nonlocal boundary value problem for 
systems of pseudodifferential equations. (Russian) 92b:35184 

Ito, Hiroya On certain mixed-type boundary value probl of elastostatics—with a simple 
example of Melin’s inequality for a system. 92i:35138 

Lerner, Nicolas An iff solvability condition for the oblique derivative problem. 92m:35287 

Levendorskii, S. Z. The algebra of boundary value problems for a class of pseudodifferential 
operators of variable order. (Russian) 92d:35323 

Natroshvili, D.G. see Duduchava, R. V.; et al., 92d:35321 

Polishchuk, V. N. see IVkiv, V. S.; et al., 92b:35184 

Ptashnik, B.1I. see IVkiv, V. S.; et al., 92b:35184 

Savchenko, Yu. B. On the solvability of a boundary value problem for some pseudodifferen- 
tial equations. (Russian) 92h:35254 

Shargorodskii, E.M. see Duduchava, R. V.; et al., 92d:35321 

Items with secondary classifications in 35S15 

D’Agnolo, Andrea (with Zampieri, Giuseppe) Analysis of the action of a pseudodifferential 
operator over (Cg)x)7; x. 92h:5818S 

Grubb, Gerd (with Kokholm, Niels Jorgen) Calcul symbolique et estimations L, pour les 
problémes aux limites pseudo-différentiels paramétrisés. (English summary) [Symbolic 
calculus and L, estimates for parameter-dependent pseudo-differential boundary 
problems] 92a:47061 

Hsiao, George C. (with Wendland, Wolfgang L.) On the low frequency asymptotics for 
exterior elasticity problems. 92g:73038 

Kokholm, Niels Jorgen see Grubb, Gerd, 92a:47061 

Levi, D. (with Ragnisco, O.) The inhomogeneous Toda lattice: its hierarchy and Darboux- 
Backlund transformations. 92¢:58095 

Ragnisco, O. see Levi, D., 92e:58095 

Schulze, Bert-Wolfgang * Pseudo-differential operators and asymptotics on manifolds with 
corners. II. 92h:58192b 

— * Pseudo-differential operators and asymptotics on manifolds with corners. IX. 
92i:58187 

Wendland, Wolfgang L. see Hsiao, George C., 92g:73038 

Zampieri, Giuseppe see D’Agnolo, Andrea, 92h:58185 





35S30 Fourier integral operators 


Seeger, Andreas (with Sogge, Christopher D.; Stein, Elias M.) Regularity properties of 
Fourier integral operators. 92g:35252 

Sogge, Christopher D. see Seeger, Andreas; et al., 92g:35252 

Stein, Elias M. see Seeger, Andreas; et al., 92g:35252 


Items with secondary classifications in 35S30 


Agliardi, Rossella Fourier integral operators of infinite order on he ale y') with an 
application to a certain Cauchy problem. 92¢:47093 

Banfi, Valeriu On the L?-boundedness of a class of Fourier integral operators with 
singularities. 92a:47060 

(Birman, M. Sh.) see Estimates and asymptotics for discrete spectra of integral and 
differential equations, 92g:35153 

Cicognani, Massimo The geometric optics for a class of hyperbolic second order operators 
with Hélder continuous coefficients with respect to time. 92i:35075 

Daletskii, A. Yu. The Maslov canonical operator on Lagrangian manifolds with a Hilbert 
model. (Russian) 92k:58269 

Efendiev, M.1I. Strictly hyperbolic higher-order equations in L?(R") spaces, | < p < +00. 
(Russian) 92¢:35071 

Fishman, Louis Exact and approximate solutions of the Helmholtz, Weyl composition 
equation in scalar wave propagation. 92g:35051 

Ito, Masato Remarks on Fredholm Fourier integral operators. 92g:47081 

Kenig, Carlos E. (with Ponce, Gustavo; Vega, Luis) Oscillatory integrals and regularity of 
dispersive equations. 92d:35081 


Hormander, Lars see Grubb, Gerd, 92f:58175 


35S50 Paradifferential operators 


Items with secondary classifications in 35S50 

Benmohamed, A. (with Robbiano, Luc) Exposant critique de Sobolev et régularité des 
solutions d’équations elliptiques. (English summary) [Sobolev critical exponent and 
regularity of the solutions of elliptic equations] 924:35055 

Robbiano, Luc see Benmohamed, A., 92d:35055 

Youssfi, Abdellah Continuité-Sobolev de certains opérateurs paradifférentiels. [Sobolev 
continuity of some paradifferential operators] 92m:42018 


35S99 None of the above, but in this section 


Jiménez, Rail F. Nonlinear evolution problems on manifolds without boundary. (Por- 
tuguese summary) 92k:35309 


Items with secondary classifications in 35S99 

Andreev, Aleksandr Sergeevich Estimates for the spectrum of compact pseudodifferential 
operators in unbounded domains. (Russian) 924:47069 

Auscher, Pascal (with Tchamitchian, Philippe) Bases d’ondelettes sur les courbes corde- 
arc, noyau de Cauchy et espaces de Hardy associés. [Wavelet bases on chord-arc curves, 
Cauchy kernel and associated Hardy spaces] 92a:42039 

Khrennikov, A. Yu. Representation of second quantization over non-Archimedean number 
fields. (Russian) 92f:81221 

Laptev, A. A. (with Safarov, Yu. G.) Error estimate in the generalized Szeg6 theorem. 
92j:35141 

Lerner, Nicolas Opérateurs pseudo-différentiels et capacités symplectiques. [Pseudodiffer- 
ential operators and symplectic capacities] 92d:58204 

Safarov, Yu. G. see Laptev, A. A., 92j:35141 

Tchamitchian, Philippe see Auscher, Pascal, 92a:42039 


39-XX Finite differences and functional equations 


39-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Aczél, Janos (with Aczél, S.) Works on functional equations. XVI. 92f:39001 
Aczél, S. see Aczél, Janos, 92:39001 


Items listed otherwise than by author 


Bibliography: 
Functional equations see Aczél, Janos, 92f:39001 


39-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Gordon, Sheldon P. On a quotient operator for sequences. 92j:39001 
Rowlands, George An introduction to the properties of one-dimensional difference 
equations. (see 92i:58001) 


Items with secondary classifications in 39-01 

Agarwal, Ravi P. * Difference equations and inequalities. 92m:39002 

Mitrinovi¢, Dragoslav S. * Predavanja o diferencijalnim jednatinama. (Serbo-Croatian) 
[Lectures on differential equations] 92e:34001 





39-02 


39-02 Research exposition (monographs, survey articles) 


Choczewski, Bogdan see Kuczma, Marek; et al., 92f:39002 
Ger, Roman see Kuczma, Marek; et al., 92f:39002 


Kuczma, Marek (with Choczewski, Bogdan; Ger, Roman) * Iterative functional equations. 


92£:39002 


Items with secondary classifications in 39-02 

Gérard, Raymond (with Lutz, D. A.) Convergent factorial series solutions of singular 
operator equations. 92f:39005 

Latz, D. A. see Gérard, Raymond, 92£:39005 


39-06 Proceedings, conferences, collections, etc. 


(Gronau, Detlef) see Contributions to the theory of functional equations, 92m:39001 
(Reich, Ludwig) see Contributions to the theory of functional equations, 92m:39001 


Items listed otherwise than by author 
Contributions to the theory of functional equations * Contributions to the theory of 
functional equations. 92m:39001 
Graz * Contributions to the theory of functional equations. 92m:39001 
Seminar: 
Contributions to the Theory of Functional Equations * Contributions to the theory of 
functional equations. 92m:39001 


Items with secondary classifications in 39-06 
(Maksa, Gyula) see Symposium: Functional Equations and Inequalities, 92a:39008 


Items listed otherwise than by author 
Noszvaj Report on the Third International Symposium on Functional Equations and 
Inequalities. 92a:39008 
Symposium: 
Functional Equations and Inequalities Report on the Third International Symposium on 
Functional Equations and Inequalities. 92a:39008 


39Axx Difference equations {For dynamical systems, see 
58F xx.} 


39A05 General 


Maté, Attila (with Nevai, Paul) A generalization of Poincaré’s theorem for recurrence 
equations. 92c¢:39001 
Nevai, Paul see Maté, Attila, 92c:39001 


Items with secondary classifications in 39A05 


Rowlands, George An introduction to the properties of one-dimensional difference 
equations. (see 92i:58001) 


39A10 Difference equations [see also 33Dxx] 


Agarwal, Ravi P. (with Usmani, Riaz A.) The formulation of invariant imbedding method 
to solve multipoint discrete boundary value problems. 92i:39001 

— * Difference equations and inequalities. 92m:39002 

Antonyuk, P. N. (with Stanyukovich, K. P.) Periodic solutions of a logistic difference 
equation. (Russian) 92f:39003 

de Avellar, C. E. (with Marconato, S. A. S.) Difference equations with delays depending on 
time. 92m:39003 

Badalov, M.1I. The essence of solutions of a system of terminating partial difference 
equations. (Russian) 92b:39001 


Barkatou, M. A. Characterization of regular singular linear systems of difference equations. 


92m:39004 

Chen, Chao Yi The qualitative structure of solutions to a class of nonlinear difference 
systems in the neighborhood of a singular point. (Chinese. English summary) 

Chéng, Sui Shéng (with Li, Horng Jaan) Bounded solutions of nonlinear difference 
equations. 92¢:39002 

— (with Yan, Tze Cheung; Li, Horng Jaan) Oscillation criteria for second order difference 
equation. 92j:39002 

— (with Lin, S.S.) Existence and uniqueness theorems for nonlinear difference boundary 
value problems. 92j:39003 

Clark, Mark E. (with Gross, Louis J.) Periodic solutions to nonautonomous difference 
equations. 92c:39003 

Daripa, Prabir A new theory for one-dimensional adaptive grid generation and its 
applications. 92m:39005 

Daubechies, Ingrid (with Lagarias, Jeffrey C.) Two-scale difference equations. I. Existence 
and global regularity of solutions. 92d:39001 

Ermilov, A. N. see Kabanovich, V. L.; et al., 924:39004 

Fick, Eugen (with Fick, M.; Hausmann, G.) Logistic equation with memory. 92f:39004 

Fick, M. see Fick, Eugen; et al., 92f:39004 

Gainullin, M. N. see Zakirov, F. K., 92i:39003 

Georgiou, D. A. (with Grove, E. A.; Ladas, G.) Oscillation of neutral difference equations 
with variable coefficients. 92b:39002 

Gérard, Raymond (with Lutz, D. A.) Convergent factorial series solutions of singular 
operator equations. 92f:39005 

Gross, Louis J. see Clark, Mark E., 92c:39003 

Grove, E. A. see Georgiou, D. A.; et al., 92b:39002 

Gyéri, Istvan (with Ladas, G.; Viahos, P. N.) Global attractivity in a delay difference 
equation. 92f:39006 

— (with Ladas, G.; Pakula, L.) Conditions for oscillation of difference equations with 
applications to equations with piecewise constant arguments. 92¢:39004 


FINITE DIFFERENCES AND FUNCTIONAL EQUATIONS 1992 652 


Hankerson, Darrel Right and left disconjugacy in difference equations. 92f:39007 

Hanschke, Thomas Uber die Minimallésung der Poincaré-Perronschen Differenzengle- 
ichung. (English summary) [On the minimal solution of the Poincaré-Perron difference 
equation] 92m:39006 

Hausmann, G. see Fick, Eugen; et al., 92f:39004 

Hayashi, Mitsutoshi On the arithmetic functions and the discrete difference equations. 
92a:39001 

Henderson, Johnny Boundary value problems for nonlinear difference equations. 
92h:39001 

— (with Lee, Linda) Continuous dependence and differentiation of solutions of finite 
difference equations. 92f:39008 

Immink, Geertrui K. Reduction to canonical forms and the Stokes phenomenon in the 
theory of linear difference equations. 92¢:39005 

Jédar, Lucas (with Morera, José Luis) Singular perturbations for systems of second order 
difference equations. 924:39002 

— (with Morera, José Luis) Solution of boundary value p 
difference equations. (Spanish. English summary) 924:39003 

Kabanovich, V.1. (with Ermilov, A. N.; Kurbatov, A. M.) On recursive definition of the 
Green function of finite difference and differential operators. 924:39004 

Kamont, Zdzislaw (with Kwapisz, Marian; Zacharek, S.) On difference-functional 
inequalities related to some classes of partial differential-functional equations. 92e:39001 

Kaptagaev, E.S. Well-posedness of a limit problem for functional-difference systems. 
(Russian) 92b:39003 

Karakostas, George (with Philos, Ch. G.; Sficas, Y.G.) The dy 
population models. 92j:39004 

Karigl, Giinther Global stability in a nonautonomous discrete growth system. 92a:39002 

Karydas, Nichoias (with Schinas, John) The integral manifold theorem for a discrete 
system. (Serbo-Croatian summary) 92m:39007 

Kawabe, Takeshi (with Kondo, Yoshiro) Fractal transformation of the one-dimensional 
chaos produced by logarithmic map. 92d:39005 

Kocié, Viajko Lj. (with Ladas, G.) Global attractivity in nonlinear delay difference 
equations. 92j:39005 

Kondo, Yoshiro see Kawabe, Takeshi, 924:39005 

Korczak, Jadwiga (with Migda, Malgorzata) Asymptotic behaviour of solutions of an mth 
order difference equation. 924:39006 

Korenevskii, D.G. An algebraic coefficient criterion for the exponential mean-square 
stability of solutions of linear stochastic stationary difference equations. (Russian) 
92j:39006 

Kuo, Hui Fang Matrices originating from certain difference equations. 92h:39002 

Kurbanshoev, S. Z. Analytic solutions of systems of functional equations. (Russian. 
Ukrainian summary) 92e:39002 

Kurbatov, A. M. see Kabanovich, V. 1.; et al., 92d:39004 

Kuruklis, S. A. see Qian, Chuan Xi; et al., 92k:39004 

Kurzweil, Jaroslav (with Papaschinopoulos, Garyfalos) Topological equivalence and 
structural stability for linear difference equations. 92k:39001 

Kwapisz, Marian Some existence and uniqueness results for boundary value problems for 
difference equations. 92¢e:39003 

— On boundary value problems for difference equations. 92h:39003 

— see also Kamont, Zdzistaw; et al., 92e:39001 

Laczkovich, Miklés (with Révész, Szilard Gy.) Decompositions into the sum of periodic 
functions belonging to a given Banach space. 92a:39003 

Ladas, G. (with Qian, Chuan Xi) Oscillatory behavior of difference equations with positive 
and negative coefficients. 92j:39007 

— Explicit conditions for the oscillation of difference equations. 92¢:39004 

— Oscillations of difference equations with positive and negative coefficients. 92c:39006 

— (with Philos, Ch. G.; Sficas, Y.G.) Existence of positive solutions for certain difference 
equations. 92f:39009 

— Recent developments in the oscillation of delay difference equations. 92e:39005 

— see also Georgiou, D. A.; et al., 92b:39002; Gyéri, Istvan; et al., 92c:39004; 92:39006; 
Kocié, Viajko Lj., 92j:39005 and Qian, Chuan Xi; et al., 92k:39004 

Lagarias, Jeffrey C. see Daubechies, Ingrid, 92d:39001 

Lalli, Bikkar S. (with Zhang, Bing Gen; Li, Juan Zhao) On the oscillation of solutions and 
existence of positive solutions of neutral difference equations. 92¢e:39006 

Lee, Linda see Henderson, Johnny, 92f:39008 

Lesky, Peter, Jr. Reelle orthogonale Polynomlésungen von komplexen Differenzengleichun- 
gen zweiter Ordnung. [Real orthogonal polynomial solutions of complex difference equa- 
tions of second order] 924:39007 

Li, Horng Jaan see Chéng, Sui Shéng; et al., 92c:39002 and 92j:39002 

Li, Juan Zhao see Lalli, Bikkar S.; et al., 92e:39006 

Lin, S.S. see Chéng, Sui Shéng, 92j:39003 

Lin, Xiao Lin On the boundedness of solutions of difference equations for the partial 
variables. (Chinese summary) 92k:39002 

Latz, D. A. see Gérard, Raymond, 92£:39005 

Maistrenko, Yu. L. Uniformly continuous solutions of difference equations with continuous 
time. 92b:39004 

Maksudov, F.G. (with Mardanov, I. Dzh.) Reduction of a system of linear difference 
equations in a Banach space. (Russian) 92j:39008 

Mallows, Colin L. Conway’s challenge sequence. 92¢:39007 

Marconato, S. A. S. see de Avellar, C. E., 92m:39003 

Mardanov, I. Dzh. Reduction of a system of nonlinear difference equations in a Banach 
space. (Russian) 92j:39009 

— Construction of the integral manifold of solutions of a system of difference equations. 
(Russian) 

— see also Maksudov, F. G., 92j:39008 

Matsukidaira, Junta (with Satsuma, Junkichi) Exactly solvable four-dimensional discrete 
equation expressed by trilinear form. 92m:39008 

Mieloszyk, Eligiusz Boundary value problem for a difference equation. 92a:39004 

Migda, Malgorzata see Korczak, Jadwiga, 92d:39006 

Moadab, Mohammad H. Existence of bounded solutions for systems of discrete equations. 
92m:39009 


for second-order matrix 





ics of some di 








653 1992 


Morera, José Luis see Jédar, Lucas, 924:39002 and 924:39003 

Pachpatte, B.G. Discrete inequalities in two variables and their applications. (Serbo- 
Croatian summary) 92b:39005 

— On Lyapunov type finite difference inequality. 92¢:39007 

Padovan, Giovanni (with Patuzzo Grego, Paola) On a solution formula for systems of 
difference equations. (Italian. English summary) 92d:39008 

Pakula, L. see Gyéri, Istvan; et al., 92¢:39004 

Papaschinopoulos, Garyfalos Linearization near the summable manifold for discrete 
systems. 92h:39004 

— On exponential trichotomy of linear difference equations. 92b:39006 

— see also Kurzweil, Jaroslav, 92k:39001 

Patuzzo Grego, Paola see Padovan, Giovanni, 92d:39008 

Peil, Timothy Disconjugacy of second order linear difference equations. 92¢:39008 

— Disconjugacy for nth order linear difference equations. 92i:39002 

Pelyukh, G. P. Representation of asymptotically periodic solutions of nonlinear difference 
equations. (Russian. Ukrainian summary) 92e:39009 

Peterson, Allan C. (with Ridenhour, Jerry) Oscillation theorems for second order scalar 
difference equations. 920:39007 

— (with Ridenhour, Jerry) Disconjugacy for a second order system of difference equations. 
92g:39001 

— (with Ridenhour, Jerry) Oscillation of second order linear matrix difference equations. 
92e:39010 

— (with Ridenhour, Jerry) Atkinson’s superlinear oscillation theorem for matrix difference 
equations. 92k:39003 

— (with Ridenhour, Jerry) A disconjugacy criterion of W. T. Reid for difference equations. 
92e:39011 

Philos, Ch. G. On oscillations of some difference equations. 92h:39005 


— (with Purnaras, I. K.) Oscillations in linear difference equations with variable coefficients. 


92m:39010 

— Oscillations in certain difference equations. 92e:39012 

— see also Ladas, G.; et al., 92f:39009 and Karakostas, George; et al., 92j:39004 

Purnaras, I. K. see Philos, Ch. G., 92m:39010 

Qian, Chuan Xi (with Kuruklis, S. A.; Ladas, G.) Oscillations of systems of difference 
equations with variable coefficients. 92k:39004 

— see also Ladas, G., 92j:39007 

Révész, Szilard Gy. see Laczkovich, Miklés, 92a:39003 

Ridenhour, Jerry see Peterson, Allan C., 92b:39007; 92¢:39010; 92e:39011; 92g:39001 and 
92k:39003 

Rivera, William (with Sweet, Daniel) Periodic families of solutions for difference equations 
with a first integral. 92h:39006 

Samoilenko, A. M. (with Sukhomlin, A. A.) A measure of difference reducible systems. 
(Russian. Ukrainian summary) 92b:39008 

Satsuma, Junkichi see Matsukidaira, Junta, 92m:39008 

Schinas, John see Karydas, Nicholas, 92m:39007 

Sficas, Y.G. see Ladas, G.; et al., 92f:39009 and Karakostas, George; et al., 92j:39004 

Stanyukovich, K. P. see Antonyuk, P. N., 92f:39003 

Sukhomlin, A. A. On the reducibility of linear systems of difference equations with smooth 
right-hand side. (Russian) (see 92d:34002) 

— see also Samoilenko, A. M., 92b:39008 

Sweet, Daniel see Rivera, William, 92h:39006 

Szafratiski, Zdzistaw (with Szmanda, Blazej) A note on the oscillation of some difference 
equations. 92¢:39013 

— (with Szmanda, Blazej) Oscillatory behavior of difference equations of second order. 
92d:39009 

— (with Szmanda, Blazej) Oscillatory properties of solutions of some difference systems. 
(Serbo-Croatian summary) 92e:39015 

Szmanda, Blazej Oscillatory behaviour of certain difference equations. 92¢:39014 

— see also Szafratiski, Zdzistaw, 92d:39009; 92e:39013 and 92e:39015 

Taniguchi, Takeshi On the estimate of solutions of perturbed linear difference equations. 
92a:39005 

Terteryan, A. A. The maximum principle for difference equations. (Russian) 92b:39009 

Usmani, Riaz A. see Agarwal, Ravi P., 92i:39001 

Viahos, P.N. see Gyéri, Istvan; et al., 92f:39006 

Wang, Zhi Cheng’ (with Yu, Jian She) Oscillation criteria for second order nonlinear 
difference equations. 92h:39007 

Xue, Fang Cun Explicit representation of the solutions to nonhomogeneous linear 
recurrence relations with constant coefficients. (Chinese) 

Yan, Tze Cheung see Chéng, Sui Shéng; et al., 92j:39002 

Yu, Jian She see Wang, Zhi Cheng', 92h:39007 

Zacharek, S. see Kamont, Zdzisiaw; et al., 92e:39001 

Zahar, R. V. M. A generalization of Olver’s algorithm for linear difference systems. 
92¢:39016 

Zakirov, F.K. (with Gainullin, M. N.) Oscillation properties of solutions of the equation 
A™y(n) + p(n)A"-'y(n) = f(n, y(n), y(n + 1),---, y(n + m)). (Russian) 92i:39003 

Zhang, Bing Gen see Lalli, Bikkar S.; et al., 92e:39006 


Items with secondary classifications in 39A10 

Antonyuk, P. N. (with Stanyukovich, K. P.) The logistic difference equation. Period 
doublings and Fermat numbers. (Russian) 92d:11019 

de Barra, G. see Borwein, Jonathan M., 92i:11011 

Borwein, Jonathan M. (with de Barra, G.) Nested radicals. 92i:11011 

Buldygin, V. V. (with Koval’, V. A.) Asymptotic behavior of solutions of stochastic 
difference equations. (Russian) 92k:60146 

Butzer, P. L. (with Markett, Clemens; Schmidt, Michael) Stirling numbers, central factorial 
numbers, and representations of the Riemann zeta function. 92a:11095 

Capel, H. W. see Quispel, G. R. W.; et al., 92i:58082 

Chen, Lan Sun see Fan, Yin Shui; et al., 92h:92008 

Chen, Sui Yang Asymptotic behavior and convergence of solutions to a cooperative- 
competitive system of difference equations. (Chinese. English summary) 92m:92019 


39A Difference equations 


39Al1 


Cooke, Kenneth L. (with Wiener, Joseph) A survey of differential equations with piecewise 
continuous arguments. 92h:34133 

Danilov, V. Ya. (with Ishchuk, V. V.) Splittability of a linear system of difference equations 
on a torus. (Russian) (see 91e:00008) 

Er, M. C. Fast computation of solutions of linear difference equations by Er’s rule. 
92k:65186 

Ermilov, A. N. (with Kabanovich, V. 1.; Kurbatov, A.M.) On the recursive definition of the 
Green function of difference equations. (Russian) 92f:39010 

Fan, Yin Shui (with Chen, Lan Sun) Periodic solutions and period-similarity of a growth 
model with age-structured population. 92h:92008 

Fujiwara, Tsukasa On the jump-diffusion approximation of stochastic difference equations 
driven by a mixing sequence. 92¢:60128 

Gramain, Francois Equations aux différences et polynémes exponentiels. (English summary) 
[Difference equations and exponential polynomials] 92h:30057 

Gupta, Dharma P. (with Masson, David R.) Exceptional g-Askey-Wilson polynomials and 
continued fractions. 92b:33047 

Hutson, V. The existence of an equilibrium for permanent systems. 92g:92016 

Immink, Geertrui K. On the asymptotic behavior of the coefficients of asymptotic power 
series and its relevance to Stokes phenomena. 92m:30074 

Ishchuk, V. V. see Danilov, V. Ya., (91¢e:00008) 

Kabanovich, V.1I. see Ermilov, A. N.; et al., 92:39010 

Koornwinder, Tom H. (with Swarttouw, René F.) On q-analogues of the Fourier and Hankel 
transforms. 92k:33013 

K kii, D.G. Algebraic coefficient criteria for convergence (with fixed “reserve” of 
convergence, exponential stability) of solutions of linear deterministic and stochastic 
stationary difference equations. (Russian) 92f:93123 

Koval’, V. A. see Buldygin, V. V., 92k:60146 

Kurbatov, A. M. see Ermilov, A. N.; et al., 92f:39010 

Levrie, Paul (with Piessens, Robert) Using QR-decompositions in the numerical solution of 
linear recurrence relations. 92d:65223 

Markett, Clemens see Butzer, P. L.; et al., 92a:11095 

Masson, David R. see Gupta, Dharma P., 92b:33047 

Maté, Attila (with Nevai, Paul) A generalization of Poincaré’s theorem for recurrence 
equations. 92c¢:39001 

Matsukidaira, Junta (with Satsuma, Junkichi) Integrable four-dimensional nonlinear 
lattice expressed by trilinear form. 92d:58082 

Megan, Mihail (with Preda, Petre) Conditions for exponential stability of difference 
equations in Banach spaces. 92j:93081 

Nevai, Paul see Maté, Attila, 92c:39001 

Nijhoff, Frank see Quispel, G. R. W.; et al., 92i:58082 

Osborne, M. R. (with Smyth, G. K.) A modified Prony algorithm for fitting functions 
defined by difference equations. 92a:65060 

Papageorgiou, V.G. see Quispel, G. R. W.; et al., 92i:58082 

Piessens, Robert see Levrie, Paul, 924:65223 

Preda, Petre see Megan, Mihail, 92j:93081 

Quispel, G.R. W. (with Capel, H. W.; Papageorgiou, V. G.; Nijhoff, Frank) Integrable 
mappings derived from soliton equations. 92i:58082 

Ross, Clay C., Jr. Why the method of undetermined coefficients works. 92j:34017 

Satsuma, Junkichi see Matsukidaira, Junta, 924:58082 

Schmidt, Michael see Butzer, P. L.; et al., 92a:11095 

Sekiguchi, Takeshi (with Shiota, Yasunobu) A generalization of Hata-Yamaguti’s results on 
the Takagi function. 92i:26010 

Shiota, Yasunobu see Sekiguchi, Takeshi, 92i:26010 

Smyth, G. K. see Osborne, M. R., 92a:65060 

Spizzichino, Fabio Finite-dimensional stochastic filtering in discrete time: the role of 
convolution semigroups. 92d:93113 

Stanyukovich, K.P. see Antonyuk, P. N., 92d:11019 

Swartte.y, René F. see Koornwinder, Tom H., 92k:33013 

Székelyhidi, Laszl6 Mean-value type functional equations. 92e:39025 

Vainerman, L. 1. Hypercomplex systems and finite-difference operators. (Russian) 
92g:43006 

Wiener, Joseph see Cooke, Kenneth L., 92h:34133 





39A11 Stability of difference equations 


Abdullin, R. Z. On practical stability of discrete systems. (see 92i:34003) 

Danilov, V. Ya. (with Ishchuk, V. V.) Splittability of a linear system of difference equations 
on a torus. (Russian) (see 91e:00008) 

van den Driessche, P. see Jeffries, Clark, 92m:39011 

Ishchuk, V. V. see Danilov, V. Ya., (91¢:00008) 

Jeffries, Clark (with van den Driessche, P.) Qualitative stability and solvability of 
difference equations. 92m:39011 

Jédar, Lucas (with Morera, José Luis) Singular perturbations of boundary value problems 
for coupled systems of second-order difference equations. (Spanish. English summary) 
92c:39008 

Kocié, Viajko Lj. (with Ladas, G.) Oscillation and global attractivity in a discrete model of 
Nicholson’s blowflies. 92h:39008 

Ladas, G. (with Qian, Chuan Xi; Vlahos, P. N.; Yan, Ju Rang) Stability of solutions of 
linear nonautonomous difference equations. 92e:39017 

— see also Kocié, Viajko Lj., 92h:39008 

Morera, José Luis see Jédar, Lucas, 92c:39008 

Papaschinopoulos, Garyfalos Dichotomies in terms of Lyapunov functions for linear 
difference equations. 92c:39009 

Qian, Chuan Xi see Ladas, G.; et al., 92e:39017 

Szidarovszky, Ferenc Global asymptotic stability of nonlinear difference: equations with 
nondifferentiable functions. 92d:39010 

Vlahos, P. N. see Ladas, G.; et al., 92e:39017 

Wang, Er Nian Theory and its generalization of the discrete single species models. 
92m:39012 

Wang, Mu Qiu see Zhang, Yi*, 92a:39006 





39A11 


Yan, Ju Rang see Ladas, G.; et al., 92e:39017 
Zhang, Yi? (with Wang, Mu Qiu) On the connective stability of large-scale discrete systems 
with respect to part of the variables. (Chinese. English summary) 92a:39006 
M. Difference equations of Volterra type and extension of Lyapunov’s 
method. 92b:39010 


Items with secondary classifications in 39A11 

Agarwal, Ravi P. * Difference equations and inequalities. 92m:39002 

Baker, John A. see Bean, Michael, 92f:39015 

Bean, Michael (with Baker, John A.) The stability of a functional analogue of the wave 
equation. 92f:39015 

Boikov, I. V. Stability of solutions of differential and difference equations in critical cases. 
(Russian) 924:34126 

Cobos, José Stability sets under permanent perturbations. (Spanish. English summary) (see 
92m:00049) 

Cooke, Kenneth L. (with Wiener, Joseph) A survey of differential equations with piecewise 
continuous arguments. 92h:34133 

Feng, Zhao Shu see Liu, Yong Qing; et al., 92f:39011 

Gajda, Zbigniew Local stability of the functional equation characterizing polynomial 
functions. 924:39026 

Huang, Yong Nian' A note on global stability for discrete one-dimensional population 
models. 92b:92038 

Kocié, Viajko Lj. (with Ladas, G.) Global attractivity in nonlinear delay difference 
equations. 92j:39005 

Ladas, G. see Kocié, Viajko Lj., 92j:39005 

Lakshmikantham, V. (with Leela, S.; Martynyuk, A. A.) * Practical stability of nonlinear 
systems. 92g:34067 

Leela, S. see Lakshmikantham, V.; et al., 92¢:34067 

Leszezytiski, Henryk Convergence of one-step difference methods for nonlinear parabolic 
differential-functional systems with initial-boundary conditions of Dirichlet type. 
925:65135 

Lin, Xiao Lin On the boundedness of solutions of difference equations for the partial 
variables. (Chinese summary) 92k:39002 

Liu, Yong Qing (with Feng, Zhao Shu) Complete stability of perturbed discrete systems. 
92£:39011 

Martynyuk, A. A. see Lakshmikantham, V.; et al., 92g:34067 

Megan, Mihail (with Preda, Petre) Conditions for exponential stability of difference 
equations in Banach spaces. 92j:93081 

Moser, Jiirgen Quasi-periodic solutions of nonlinear elliptic partial differential equations. 
92g:35024 

Papaschinopoulos, Garyfalos Linearization near the summable manifold for discrete 
systems. 92h:39004 

Preda, Petre see Megan, Mihail, 92j:93081 

Wiener, Joseph see Cooke, Kenneth L., 92h:34133 


39A12 Discrete version of topics in analysis 


Cobos, José Stability sets under permanent perturbations. (Spanish. English summary) (see 
92m:00049) 

Driver, R. D. (with Ladas, G.; Vlahos, P. N.) Asymptotic behavior of a linear delay 
difference equation. 92i:39004 

Ermilov, A. N. (with Kabanovich, V. I.; Kurbatov, A.M.) On the recursive definition of the 
Green function of difference equations. (Russian) 92f:39010 

Feng, Zhao Shu see Liu, Yong Qing; et al., 92f:39011 

Fokas, Athanassios S. (with Novikov, R.G.) Discrete analogues of 8-equation and of 
Radon transform. (French summary) 924:39011 

Grammaticos, B. see Ramani, A.; et al., 92j:39011 

Gregor, Jiti Convolutional solutions of partial difference equations. 924:39012 

Hietarinta, Jarmo see Ramani, A.; et al., 92j:39011 

Hirota, Ryogo see Ohta, Yasuhiro 

Kabanovich, V.I. see Ermilov, A. N.; et al., 92£:39010 

Kurbatov, A. M. see Ermilov, A. N.; et al., 92f:39010 

Ladas, G. (with Qian, Chuan Xi) Comparison results and linearized oscillations for higher- 
order difference equations. 92j:39010 

— see also Driver, R. D.; et al., 92i:39004 

Liu, Yong Qing (with Feng, Zhao Shu) Complete stability of perturbed discrete systems. 
92£:39011 

Maeda, Fumi-Yuki (with Murakami, Atsushi; Yamasaki, Maretsugu) Discrete initial value 
problems and discrete parabolic potential theory. 92¢:39010 

Murakami, Atsushi see Maeda, Fumi-Yuki; et al., 92c:39010 

Narita, Kazuaki Soliton solution for discrete Hirota equation. 924:39013 

— Soliton solutions for discrete Hirota equation. II. 92g:39002 

Novikov, R.G. see Fokas, Athanassios S., 92d:39011 

Ohta, Yasuhiro (with Hirota, Ryogo) A discrete KdV equation and its Casorati determinant 
solution. 

Pachpatte, B.G. On multidimensional discrete inequalities and their applications. 
92a:39007 

Qian, Chuan Xi see Ladas, G., 92j:39010 

Ramani, A. (with Grammaticos, B.; Hietarinta, Jarmo) Discrete versions of the Painlevé 
equations. 92j:39011 

Tu, Shih Tung A discrete analog of Laplace’s differential equations. 92b:39011 

Viahos, P.N. see Driver, R. D.; et al., 92i:39004 

Yamasaki, Maretsugu see Maeda, Fumi-Yuki:; et al., 92c:39010 


Items with secondary classifications in 39A12 
Avron, J. E. (with van Mouche, P. H. M.; Simon, Barry) On the measure of the spectrum 
for the almost Mathieu operator. 924:39014a 


— (with van Mouche, P. H. M.; Simon, Barry) Erratum: “On the measure of the spectrum 
for the almost Mathieu operator”. 92d:39014b 


FINITE DIFFERENCES AND FUNCTIONAL EQUATIONS 


1992 654 


Azmy, Y. Y. (with Protopopescu, V.) On the dynamics of a discrete reaction-diffusion 
system. 92k:58134 

Bad‘in, L. V. (with Tarasov, R. P.) Numerical factorization of polynomials on the unit 
circle, and the approximate solution of discrete Wiener-Hopf equations. (Russian) 
92¢:65032 

Barkatou, M. A. Characterization of regular singular linear systems of difference equations. 
92m:39004 

Bishop, A. R. see Scharf, Rainer, 92b:82078 

Bunyak, Yu. A. Class of discrete orthogonal systems of subexponential functions. (Russian) 
92b:33015 

Capel, H. W. (with Nijhoff, Frank; Papageorgiou, V.G.) Complete integrability of 
Lagrangian mappings and lattices of KdV type. 92f:58077 

Chang, Chin (with Georgiou, Tryphon T.) The Schur algorithm: conneciions with the 
difference Riccati equation, the Chandrasekhar algorithm, and square-root filtering. (see 
92£:93005) 

Chéng, Sui Shéng (with Yan, Tze Cheung; Li, Horng Jaan) Oscillation criteria for second 
order difference equation. 92j:39002 

— (with Lin, S.S.) Existence and uniqueness theorems for nonlinear difference boundary 
value problems. 92j:39003 

Chernyshev, V. N. Convergence of absolutely continuous spectral measures for truncations 
of limit Jacobi matrices. (Russian) 92¢:47058 

Cosenza, M. G. (with Swift, J. B.) Influence of asymmetry on multifractal properties of 
maps. 92b:58141 

Gaishun, I. V. (with Hoang Van Quang) Assignment problem of a spectrum and stabiliz- 
ability of two-parameter discrete systems. (Russian. English summary) 92f:93059 

Georgiou, Tryphon T. see Chang, Chin, (92f:93005) 

Gérard, Raymond (with Lutz, D. A.) Convergent factorial series solutions of singular 
operator equations. 92f:39005 

Grammaticos, B. (with Ramani, A.; Papageorgiou, V.G.) Do integrable mappings have the 
Painlevé property? 92f:58081 

Heinemann, V. see Sankat, K., 92j:58056 

Henderson, Johnny Boundary value problems for nonlinear difference equations. 
92h:39001 

— (with Lee, Linda) Continuous dependence and differentiation of solutions of finite 
difference equations. 92f:39008 

Hoang Van Quang see Gaishun, I. V., 92f:93059 

Karafiat, Andrzej Discrete maximum principle in parabolic boundary-value problems. 
92d:35052 

Koci¢, Viajko Lj. (with Ladas, G.) Oscillation and global attractivity in a discrete model of 
Nicholson’s blowflies. 92h:39008 

— (with Ladas, G.) Global attractivity in nonlinear delay difference equations. 92j:39005 

Kuruklis, S. A. see Qian, Chuan Xi; et al., 92k:39004 

Kurzweil, Jaroslav (with Papaschinopoulos, Garyfalos) Topological equivalence and 
structural stability for linear difference equations. 92k:39001 

Kvitsinskii, A. A. Exact solution of the Coulomb problem on a lattice. 92h:81031 

Kwong, Man Kam (with Zettl, Anton) Norm inequalities for derivatives and differences. 
92:26033 

Ladas, G. (with Qian, Chuan Xi) Oscillatory behavicr of difference equations with positive 
and negative coefficients. 92j:39007 

— Explicit conditions for the oscillation of difference equations. 92¢e:39004 

— see also Kocié, Viajko Lj., 92h:39008; 92j:39005 and Qian, Chuan Xi; et al., 92k:39004 

Lalli, Bikkar S. (with Zhang, Bing Gen; Li, Juan Zhao) On the oscillation of solutions and 
existence of positive solutions of neutral difference equations. 92¢:39006 

Lasota, Andrzej (with Tyrcha, Joanna) On the strong convergence to equilibrium for 
randomly perturbed dynamical systems. 92i:58159 

Lee, Linda see Henderson, Johnny, 92f:39008 

Li, Horng Jaan see Chéng, Sui Shéng; et al., 92j:39002 

Li, Juan Zhao see Lalli, Bikkar S.; et al., 92e:39006 

Lin, S.S. see Chéng, Sui Shéng, 92j:39003 

Lin, Xiao Lin On the boundedness of solutions of difference equations for the partial 
variables. (Chinese summary) 92k:39002 

Lerente, Miguel Physical models on discrete space and time. 92k:81046 

Lutz, D. A. see Gérard, Raymond, 92f:39005 

Maksudov, F.G. (with Mardanov, I. Dzh.) Reduction of a system of linear difference 
equations in a Banach space. (Russian) 92j:39008 

Mardanov, I. Dzh. Reduction of a system of nonlinear difference equations in a Banach 
space. (Russian) 92j:39009 

— see also Maksudov, F. G., 92j:39008 

Matsukidaira, Junta (with Satsuma, Junkichi) Exactly solvable four-dimensional discrete 
equation expressed by trilinear form. 92m:39008 

Mieloszyk, Eligiusz Boundary value problem for a difference equation. 92a:39004 

van Mouche, P. H. M. see Avron, J. E.; et al., 92d:39014a and 92d:39014b 

Nijhoff, Frank (with Papageorgiou, V.G.) Similarity reductions of integrable lattices and 
discrete analogues of the Painlevé II equation. 92b:58103 

— see also Capel, H. W.; et al., 92£:58077 

Papageorgiou, V.G. see Nijhoff, Frank, 92b:58103; Capel, H. W.; et al., 92£:58077 and 
Grammaticos, B.; et al., 92f:58081 

Papaschinopoulos, Garyfalos On exponential trichotomy of linear difference equations. 
92b:39006 

— see also Kurzweil, Jaroslav, 92k:39001 

Peterson, Allan C. (with Ridenhour, Jerry) Oscillation theorems for second order scalar 
difference equations. 92b:39007 

— (with Ridenhour, Jerry) Oscillation of second order linear matrix difference equations. 
92e:39010 

— (with Ridenhour, Jerry) A disconjugacy criterion of W. T. Reid for difference equations. 
92e:39011 

Philos, Ch. G. (with Purnaras, I. K.) Oscillations in linear difference equations with 
variable coefficients. 92m:39010 

Protopopescu, V. see Azmy, Y. Y., 92k:58134 

Purnaras, I. K. see Philos, Ch. G., 92m:39010 





655 1992 


Qian, Chuan Xi (with Kuruklis, S. A.; Ladas, G.) Oscillations of systems of difference 
equations with variable coefficients. 92k:39004 

— see also Ladas, G., 92j:39007 

Ramani, A. see Grammaticos, B.; et al., 92f:58081 

Ridenhour, Jerry see Peterson, Allan C., 92b:39007; 92e:39010 and 92e:39011 

Sankat, K. (with Heinemann, V.) Estimates for the set of diverging points. 92j:58056 

Satsuma, Junkichi see Matsukidaira, Junta, 92m:39008 

Scharf, Rainer (with Bishop, A. R.) Properties of the nonlinear Schrodinger equation on a 
lattice. 92b:82078 

Simon, Barry see Avron, J. E.; et al., 92d:39014a and 924:39014b 

Smith, Dale T. On the spectral analysis of selfadjoint operators generated by second order 
difference equations. 92j:47058 

Swift, J. B. see Cosenza, M. G., 92b:58141 

Szafratiski, Zdzistaw (with Szmanda, Blazej) A note on the oscillation of some difference 
equations. 92e:39013 

Szmanda, Biazej Oscillatory behaviour of certain difference equations. 92e:39014 

— see also Szafranski, Zdzistaw, 92e:39013 

Tarasov, R. P. see Bad’in, L. V., 92¢:65032 

Tyrcha, Joanna see Lasota, Andrzej, 92i:58159 

Wang, Er Nian Theory and its generalization of the discrete single species models. 
92m:39012 

Wang, Zhi Cheng! (with Yu, Jian She) Oscillation criteria for second order nonlinear 
difference equations. 92h:39007 

Yan, Tze Cheung see Chéng, Sui Shéng; et al., 92j:39002 

Yu, Jian She see Wang, Zhi Cheng', 92h:39007 

Zettl, Anton see Kwong, Man Kam, 92f:26033 

Zhang, Bing Gen see Lalli, Bikkar S.; et al., 92e:39006 


39A70 Difference operators [see also 47B39] 


Avron, J. E. (with van Mouche, P. H. M.; Simon, Barry) On the measure of the spectrum 
for the almost Mathieu operator. 92d:39014a 

— (with van Mouche, P. H. M.; Simon, Barry) Erratum: “On the measure of the spectrum 
for the almost Mathieu operator”. 92d:39014b 

Immink, Geertrui K. On meromorphic equivalence of linear difference operators. (French 
summary) 92¢e:39018 

van Mouche, P. H. M. see Avron, J. E.; et al., 92d:39014a and 924:39014b 

Simon, Barry see Avron, J. E.; et al., 92d:39014a and 92d:39014b 


Items with secondary classifications in 39A70 
Allakhverdiev, B. P. (with Bairamov, E. M.) On the spectral theory of a system of first- 
order nonselfadjoint difference operators. (Russian. English and Azerbaijani summaries) 
92b:47047 
Kazuhiko Selfadjointness and limit pointness for adjacency operators on a tree. 
92a:47041 
Bairamov, E.M. see Allakhverdiev, B. P., 92b:47047 
Frank, L.S. Toeplitz matrices and the theory of one-parameter families of difference 
operators. 92d:47048 
Gajda, Zbigniew Local stability of the functional equation characterizing polynomial 
functions. 92d:39026 
Gordon, Sheldon P. On a quotient operator for sequences. 92j:39001 
Kalfat, Abderrahim Remarks on Volterra right inverses for weighted difference operator of 
high degree. 92j:47057 
Kozhukhar’, P. A. A Hardy-type inequality and the absence of eigenvalues in an integral- 
difference operator. (Russian. English and Moldavian summaries) 92i:47062 
Kurbatov, V.G. * JIunetusie zuddepentmanbHo-pa3sHocTubie ypaBHenua. (Russian) [Linear 
differential-difference equations] 92k:34082 
Nagnibida, N. I. Conditions for the completeness of a system of entire functions and their 
application to Pommiez operators. (Russian) 92h:30010 
Garyfalos Dichotomies in terms of Lyapunov functions for linear 
difference equations. 92¢:39009 
Peterson, Allan C. (with Ridenhour, Jerry) A disconjugacy criterion of W. T. Reid for 
difference equations. 92e:39011 
Prikazchikov, V.G. An asymptotic estimate for the accuracy of a di 
for a fourth-order equation. (Russian) 92i:35093 
Rabinovich, V.S. Spectral properties of a class of difference operators. (Russian) 
92m:47065 
Ridenhour, Jerry see Peterson, Allan C., 92e:39011 
Smith, Dale T. Exponential decay of resol and di eigenfunctions of banded 
infinite matrices. 92j:47056 
— On the spectral analysis of selfadjoint operators generated by second order difference 
equations. 92j:47058 
Sodin, M. L. (with Yuditskii, P.M.) The limit-periodic finite-difference operator on /?(Z) 
associated with iterations of quadratic polynomials. 92¢e:58122 
Yuditskii, P.M. see Sodin, M. L., 92e:58122 
Zhu, Ben Ren The continuous spectrum problem of second-order difference operators and 
its applications. 92i:65196 





spectral probl 





39A99 None of the above, but in this section 


Koga, Shinji The inverse problem of Frobenius-Perron equations in 1D difference systems. 
1D map idealization. 


Items with secondary classifications in 39A99 


Aomoto, Kazuhiko g-analogue of de Rham cohomology associated with Jackson integrals. II. 


92g:33028b 
Kersting, Gotz Some properties of stochastic difference equations. 92c:60091 
Popenda, Jerzy Finite difference inequalities. 92f:26040 


39B Functional equations 


39Bxx Functional equations [see also 30D05] 
(Maksa, Gyula) see Symposium: Functional Equations and Inequalities, 92a:39008 


Items listed otherwise than by author 


Graz The Twenty-eighth International Symposium on Functional Equations, August 23- 
September 1, 1990, Graz-Maria Trost, Austria. 92c:39011 
Maria Trost The Twenty-eighth International Symposium on Functional Equations, August 
23-September 1, 1990, Graz-Maria Trost, Austria. 92c:39011 
Noszvaj Report on the Third International Symposium on Functional Equations and 
Inequalities. 92a:39008 
Symposium: 
Functional Equations The Twenty-cighth International Symposium on Functional 
Equations, August 23-September 1, 1990, Graz-Maria Trost, Austria. 92¢:39011 
Functional Equations and Inequalities Report on the Third International Symposium on 
Functional Equations and Inequalities. 92a:39008 


Items with secondary classifications in 39Bxx 

Choczewski, Bogdan see Kuczma, Marek; et al., 92f:39002 

Ger, Roman see Kuczma, Marek; et al., 92f:39002 

Kuczma, Marek (with Choczewski, Bogdan; Ger, Roman) * Iterative functional equations. 
92£:39002 

Marley, A. A. J. A selective review of recent characterizations of stochastic choice models 
using distribution and functional equation techniques. 


39B05 General 


Alagi¢é, M. see Malenica, M., 92m:39013 

Malenica, M. (with Alagi¢é, M.) On the solutions of the functional equation x(t) + 
A(t)x(f(t)) = F(t). (Serbo-Croatian summary) 92m:39013 

Martul de Neyra, Ramén J. On quasi-arithmetic means of uniform probability 
distribution functions. (Spanish) (see 92g:00024) 

— Synthesis of polynomial distribution functions. (Spanish. English summary) (see 
92b:00044) 


Items with secondary classifications in 39B05 

Chlebik, M. (with Kral, Josef) Removable singularities of the functional wave equation. 
(German and Russian summaries) 92f:35140 

Kral, Josef see Chiebik, M., 92f:35140 

Liedl, Roman (with Netzer, N.) Group-theoretic and differential-geometric methods for 
solving the translation-equation. 92a:58074 

Mallows, Colin L. Conway’s challenge sequence. 92e:39007 

Miller, Harry I. Cn several classes of sets. II. 92j:28001 

Mitrinovi¢, Dragoslav S. (with Peéari¢, Josip E.) * Cikli¢ne nejednakosti i cikli¢ne 
funkcionalne jednatine. (Serbo-Croatian) [Cyclic inequalities and cyclic functional 
equations] 92c¢:26012 

Netzer, N. see Liedl, Roman, 92a:58074 

Petari¢, Josip E. see Mitrinovi¢é, Dragoslav S., 92c:26012 


39B12 Iteration theory, iterative and composite equations 
[see also 26A18, 30D05, 58F08] 


Aczél, Janos (with Berg, Lothar; Moszner, Zenon) Sur l’équation de translation multidi- 
mensionnelle. [On the multidimensional translation equation] 92c:39012 

Adamovié, Dugan D. Corrections and supplements of some details in two former papers: 
“Solutions of two functional equations that are close to the Cauchy equation” [Mat. 
Vesnik 9(24) (1972), 19-22; MR 48 #11827] and “An identity and asymptotic behaviour 
of some sequences” [Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 544-576 
(1976), 149-154; MR 56 #6235]. 

Alsina, Claudi On some iterative functional equations involving t-norms. 92c:39013 

Barnsley, Michael F. Lecture notes on iterated function systems. 924:39015 

Berg, Lothar Asymptotic properties of the solutions of the translation equation. 92h:39009 

— see also Aczél, Janos; et al., 92c:39012 

Goscicka, Katarzyna On commutable functions and Abel’s equations. (Polish summary) 
92£:39012 

Jarczyk, Witold * A recurrent method of solving iterative functional equations. 92k:39005 

Lin, You Feng see Ratti, J. S., 92d:39016 

Messano, Basilio Global convergence and nonexistence of periodic points of period 4. 
92a:39009 

Moszner, Zenon see Aczél, Janos; et al., 92c:39012 

Nikodem, Kazimierz On ¢-invariant measures and a functional equation. 92m:39014 

Ratti, J.S. (with Lin, You Feng) A functional equation involving f and f—'. 92d:39016 

Sadowski, Antoni Concerning some sequences of iterates in R"-space. 92¢:39019 

Stephenson, John W. (with Wang, Yong) Relationships between the solutions of Feigen- 
baum’s equation. 92g:39003 

— (with Wang, Yong) Relationships between eigenfunctions associated with solutions of 
Feigenbaum’s equation. 92g:39004 

Tabor, Jézef On the alternative stability of the Cauchy equation. 92k:39006 

Tomas, M.S. On some iteration problems concerning sections of t-norms. 92c:39014 

Wang, Yong see Stephenson, John W., 92g:39003 and 92g:39004 

Wei, Wan Di see Zhang, Fu Ji; et al., 92k:39007 

Yu, Chang An A formula for the solution of a class of recurrence relations with variable 
coefficients having two indices. (Chinese. English summary) 92m:39015 

Zhang, Fu Ji (with Wei, Wan Di) Systems of simultaneous linear recurrence relations with 
constant coefficients. (Chinese summary) 92k:39007 

Zhang, Wei Nian Discussion on the differentiable solutions of the iterated equation 
Die Aifi(x) = F(x). 920:39010 

Zarawiecki, Jerzy Locally reducible iterative systems. 92):39012 





39B1Z 


Items with secondary classifications in 39B12 

Abenda, S. Inverse problem for one-dimensional fractal measures via iterated function 
systems and the moment method. 92£:58095 

Alagi¢é, M. see Malenica, M., 92m:39013 

Aurell, Erik Finding eigenvalues of the period-doubling operator from the characteristic 
equation. 92j:58066 

Barnsley, Michael F. (with Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz- 
Otto; Saupe, Dietmar; Voss, Richard F.) * The science of fractal images. 92a:68145 

Bessis, Daniel Orthogonal polynomials, Padé approximations and Julia sets. 92h:30051 

— (with Mantica, Giorgio) Construction of multifractal measures in dynamical systems 
from their invariance properties. 92c:58060 

Bivins, R. L. (with Louck, J. D.; Metropolis, N.; Stein, M. L.) Classification of all cycles of 
the parabolic map. 92j:58084 

Blokh, A. M. (with Coven, Ethan M.; Misiurewicz, Michal; Nitecki, Zbigniew) Roots of 
continuous piecewise monotone maps of an interval. 92i:58086 

Borwein, David (with Borwein, Jonathan M.) Fixed point iterations for real functions. 
92e:65065 

Borwein, Jonathan M. see Borwein, David, 92e:65065 

Briggs, K.M. (with Quispel, G. R. W.; Thompson, Colin J.) Feigenvalues for Mandelsets. 
92h:58167 

Chen, Fang Yue Nonexistence of concave analytic solutions to Feigenbaum functional 
equations. (Chinese) 

Childress, Stephen (with Klapper, Isaac) On some transport properties of baker’s maps. 
92j:58029 

Coven, Ethan M. see Blokh, A. M.; et al., 92i:58086 

Devaney, Robert L. see Barnsley, Michael F.; et al., 92a:68145 

Epstein, Henri Fixed points of composition operators. (see 92£:58003) 

Feingold, Mario (with Gonzalez, Diego L.; Magnasco, Marcelo O.; Piro, Oreste) On the 
universality class dependence of period doubling indices. 92d:58133 

(Fisher, Yuval) see Barnsley, Michael F.; et al., 92a:68145 

Fruchard, Augustin Canards discrets. (English summary) [Discrete canards] 92m:58099 

Ge, Yuzhen Scaling properties of the measure of constant topological entropy. 92c:58062 

Gilbert, A.D. Global dynamics of a planar mapping exhibiting orbits of periods 1,2, 3 and 
no chaos. 92b:58183 

Gonzalez, Diego L. see Feingold, Mario; et al., 92d:58133 

Handelman, David Stable positivity of polynomials obtained from three-term difference 
equations. 92d:42011 

Hofbauer, Franz (with Keller, Gerhard) Some remarks on recent results about S-unimodal 
maps. 92m:58077 

Jarczyk, Witold Almost iterable functions. 92i:26007 

Karawatzki, R. A practical algorithm for the determination of the positions of superstable 
cycles. 92e:58110 

Keller, Gerhard see Hofbauer, Franz, 92m:58077 

Klapper, Isaac see Childress, Stephen, 92j:58029 

Louck, J. D. see Bivins, R. L.; et al., 92j:58084 

Lao, Lishi see Peng, Shou Li, 92f:58054 

Mackey, Michael C. see Provatas, Nicholas, 92g:58073 

Magnasco, Marcelo O. see Feingold, Mario; et al., 92d:58133 

Malenica, M. (with Alagi¢, M.) On the solutions of the functional equation x(t) + 
A(t)x(f(t)) = F(t). (Serbo-Croatian summary) 92m:39013 

Mandelbrot, Benoit B. see Barnsley, Michael F.; et al., 92a:68145 

Mantica, Giorgio (with Sloan, Alan) Chaotic optimization and the construction of fractals: 
solution of an inverse problem. 92b:28011 

— see also Bessis, Daniel, 92c:58060 

(McGuire, Michael) see Barnsley, Michael F.; et al., 92a:68145 

Metropolis, N. see Bivins, R. L.; et al., 92j:58084 

Misiurewicz, Michal see Blokh, A. M.; et al., 92i:58086 

Nitecki, Zbigniew see Blokh, A. M.; et al., 92i:58086 

Peitgen, Heinz-Otto see Barnsley, Michael F.; et al., 92a:68145 

Peng, Shou Li (with Luo, Lishi) The ordering of critical periodic points in coordinate space 
by symbolic dynamics. 92f:58054 

Piro, Oreste see Feingold, Mario; et al., 92d:58133 

Pollicott, Mark A note on the Artuso-Aurell-Cvitanovic approach to the Feigenbaum 
tangent operator. 92d:58166 

Provatas, Nicholas (with Mackey, Michael C.) Noise-induced asymptotic periodicity in a 
piecewise linear map. 92g:58073 

Quispel, G. R. W. see Briggs, K. M.; et al., 92h:58167 

Reich, Ladwig Iteration of automorphisms of formal power series rings and of complete 
local rings. 92a:13018 

Rowlands, George An introduction to the properties of one-dimensional difference 
equations. (see 92i:58001) 

Saupe, Dietmar see Barnsley, Michael F.; et al., 922:68145 

Schwaiger, Jens Phantom roots and phantom iterates for formal power series in one 
variable. 92a:13019 

Sloan, Alan see Mantica, Giorgio, 92b:28011 

Sodin, M. L. (with Yuditskii, P.M.) The limit-periodic finite-difference operator on /?(Z) 
associated with iterations of quadratic polynomials. 92e:58122 

Stein, M. L. see Bivins, R. L.; et al., 92j:58084 

Targotiski, Gyérgy Iteration theory and functional analysis. 92a:58076 

Thompson, Colin J. see Briggs, K. M.; et al., 92h:58167 

Voss, Richard F. see Barnsley, Michael F .; et al., 92a:68145 

Yuditskii, P.M. see Sodin, M. L., 92e:58122 

Zdun, Marek Cezary On C’ iteration groups. 92a:58116 

Zeegers, Th. On the existence of infinite period-doubling sequences in a class of 4D semi- 
symplectic mappings. 92i:58137 


39B22 Equations for real functions 


Aczél, Janos (with Kuczma, Marek) Generalizations of a “folk-theorem” on simple 
functional equations in a single variable. 924:39017 


FINITE DIFFERENCES AND FUNCTIONAL EQUATIONS 


1992 656 


Alsina, Claudi A synthesis of multidimensional judgements consistent with linear 
transformations. 92c:39015 

— On the stability of a functional equation related to associativity. 92i:39005 

— (with Garcia Roig, J.-L.) On a functional equation related to the exterior powers of 
Euclidean space. 92¢:39020 

Arkeryd, Leif (with Cercignani, Carlo) On a functional equation arising in the kinetic 
theory of gases. (Italian summary) 92f:39013 

Baker, John A. Functional equations, distributions and approximate identities. 92c:39016 

Berg, Lothar Fiinf mehrdimensionale Funktionalgleich [Five multidimensional 
functional equations] 92k:39008 

Brillouét-Belluot, Nicole On some functional equations of Golab-Schinzel type. 92k:39009 

Brzdek, Janusz On solutions of a functional equation connected with some Lie groups. 
(Polish summary) 92g:39005 

— On the solutions of the functional equation f(x f(y)! + yf(x)*) =tf(x)f(y). 92e:39021 

Cercignani, Carlo see Arkeryd, Leif, 92f:39013 

Ebanks, Bruce R. (with Sahoo, P. K.; Sander, Wolfgang) Determination of measurable sum 
form information measures satisfying (2, 2)-additivity of degree (a, 8). (Serbo-Croatian 
summary) 92b:39012 

— (with Sahoo, P. K.; Sander, Wolfgang) General solution of two functional equations 
concerning measures of information. 92¢:39017 

— Differentiable solutions of a generalized cocycle functional equation for six unknown 
functions. 92j:39013 

Garcia Roig, J.-L. see Alsina, Claudi, 92e:39020 

Hammer, Claus (with Volkmann, Peter) Die multiplikativen Lésungen der Parallelogram- 
mgleichung. [The multiplicative solutions of the parallelogram equation] 92k:39010 

Haruki, Hiroshi A new Pythagorean functional equation. 92c:39018 

— New characterizations of the arithmetic-geometric mean of Gauss and other well-known 
mean values. 92f:39014 

Heuvers, Konrad J. A characterization of Cauchy kernels. 924:39018 

Jani¢é, Radovan R. (with Petari¢, Josip E.) Note on some nonlinear functional equations. 
(Serbo-Croatian summary) 92k:39011 

Jarczyk, Witold On continuous solutions of the equation of invariant curves. 92k:39012 

Kaminski, Andrzej On distributional solutions of the generalized entropy equation. 
924:39019 

— (with Rathie, Pushpa Narayan) Distributional solutions of Kurepa’s equation of 
multiplicative type. 92d:39020 

Kannappan, Pl. (with Sahoo, P. K.) On the general solution of a functional equation 
connected to sum form information measures on open domain. V. (Russian and Slovak 
summaries) 92¢:39019 

Kapur, J. N. A general functional equation and measures of information. 92e:39022 

Kuczma, Marek On the quasiarithmetic mean in a mean value property and the associated 
functional equation. 92c:39020 

— see also Aczél, Janos, 924:39017 

Lesonczi, L. Local solutions of functional equations. (Serbo-Croatian summary) 92e:39023 

Lupas, Luciana The G-function of E. W. Barnes. 92¢:39024 

Moszner, Zenon Sur une forme de la solution de l’équation de translation. [On a form of the 
solution of the translation equation] 92j:39014 

Neuman, Frantisek On a canonical parametrization of continuous functions. (Polish 
summary) 92h:39010 

Petari¢, Josip E. see Jani¢é, Radovan R., 92k:39011 

Rathie, Pushpa Narayan see Kamitiski, Andrzej, 92d:39020 

Sablik, Maciej Some remarks on Cauchy equation on a curve. 92d:39021 

Sahoo, P. K. see Ebanks, Bruce R.; et al., 92b:39012; 92c:39017 and Kannappan, P1., 
92¢:39019 

Sander, Wolfgang Weighted additive information measures. 92a:39011 

— see also Ebanks, Bruce R.; et al., 92b:39012 and 92¢:39017 

Székelyhidi, Laszl6 Mean-value type functional equations. 92e:39025 

Volkmann, Peter see Hammer, Claus, 92k:39010 


Items with secondary classifications in 39B22 


Aczél, Janos Merging relative scores: our correct ways and a wrong way. 

Alagi¢, M. see Malenica, M., 92m:39013 

Alsina, Claudi (with Garcia Roig, J.-L.) On the multiplicative Cauchy equation for 
constructible real numbers. 92i:11078 

— A characterization of the room index by means of functional equations. 92d:39025 

Behara, M. * Additive and nonadditive measures of entropy. 92i:94007 

Bhatia, P. K. (with Taneja, H.C.) On characterization of q itati 
of inaccuracy. 92¢:94013 

Conze, Jean-Pierre (with Raugi, Albert) Fonctions harmoniques pour un opérateur de 
transition et applications. (English summary) [Harmonic functions for a transition 
operator, and applications] 92g:60100 

(Diewert, W. E.) see Price level measurement, 92g:90038 

Dubeau, Francois On a generalization of u-means. 92g:26030 

Garcia Roig, J.-L. see Alsina, Claudi, 92i:11078 

Gleissner, Winfried A characterization of the price indices satisfying the Eichhorn-Voeller 
axioms. 92i:90031 

Hyers, D. H. Polynomial operators. 92¢:39030 

Jarczyk, Witold * A recurrent method of solving iterative functional equations. 92k:39005 

Kumar, Ram Awadhesh On a nonlinear difference equation in population genetics. 

Lin, You Feng see Ratti, J. S., 92d:39016 

Malenica, M. (with Alagié, M.) On the solutions of the functional equation x(t) + 
A(t)x(f(t)) = F(t). (Serbo-Croatian summary) 92m:39013 

Messano, Basilio Questions concerning functional equations of the form A(x) — A(t(x)) = 
g(x) and the Goursat problem for ux, = 0. (Italian. English summary) 92g:47094 

Nikodem, Kazimierz On ¢-invariant measures and a functional equation. 92m:39014 

Ratti, J.S. (with Lin, You Feng) A functional equation involving f and f-'. 92d:39016 

Raugi, Albert see Conze, Jean-Pierre, 92g:60100 

Sahoo, P. K. (with Sander, Wolfgang) Sum form information measures on open domain. 
(Serbo-Croatian summary) 92f:94010 

Sander, Wolfgang see Sahoo, P. K., 92f:94010 








re 
e-q ive 





657 1992 


Taneja, H.C. see Bhatia, P. K., 92e:94013 

Wa, Zi Qian' (with Xuan, Qi Wo; Zhu, Dao Yuan; Zhong, Ju Kang) Discrete phenomena 
of unique solvability of characteristic problems for plane hyperbolic systems of equations. 
IL. (Chinese. English summary) 924:35182 

— (with Zhu, Dao Yuan; Xuan, Qi Wo) Stability of a class of functional equations and 
derivative collocation solutions. (Chinese. English summary) 92f:65155 

Xuan, Qi Wo see Wu, Zi Qian’; et al., 92d:35182 and 92:65155 

Zhong, Ju Kang see Wu, Zi Qian’; et al., 92d:35182 

Zhu, Dao Yuan see Wu, Zi Qian’; et al., 92d:35182 and 92f:65155 


Items listed otherwise than by author 
Price level measurement * Price level measurement. 92g:90038 


39B32 Equations for complex functions [see also 30D05] 


Belitskii, G. R. (with Tkachenko, Vadim Aleksandrovich) Locally analytic solvability 
of multidimensional functional equations in a neighborhood of a nonsingular point. 
(Russian) 92g:39006 

Castillo, Enrique (with Ruiz Cobo, Maria Reyes; Cobo Ortega, Angel) Characterization of 
the complex product by means of functional equations. (Spanish. English summary) (see 
92m:00049) 

Cobo Ortega, Angel see Castillo, Enrique; et al., (92m:00049) 

Evlampiev, N. P. Periodic solutions of a functional equation with linear deviation of the 
argument. (Russian) 

Hayman, Walter K. (with Thatcher, A. R.) A functional equation arising from the mortality 
tables. 92d:39022 

Kuznetsov, N. K. On the solution of the functional equation ‘¥(w + 1) = G(w) -[¥(w)P. 
(Russian) 92m:39016 

Marzegalli, Stefania On a class of functional equations characterizing the sine 

function. 92k:39013 

Ruiz Cobo, Maria Reyes see Castillo, Enrique; et al., (92m:00049) 

Thatcher, A. R. see Hayman, Walter K., 924:39022 

Tkachenko, Vadim Aleksandrovich see Belitskii, G. R., 92g:39006 

Walker, Peter L. On the solutions of an abelian functional equation. 92¢:39026 

Zheng, Jian Hua Nonexistence of admissible solution of the function equation 
Theo MA = 1. 920:39021 


Items with secondary classifications in 39B32 

Alzer, Horst A note on a functional inequality. 92m:39021 

Cella, Otto (with Lettl,Ginter) Power series and zeroes of trinomial equations. 92m:30003 

Hyers, D. H. Polynomial operators. 92¢:39030 

Kannappan, Pl. Cauchy equations and some of their applications. 92k:39014 

Lettl, Ginter see Cella, Otto, 92m:30003 

Magnus, Arne (with McCabe, John H.) Continued fractions for g(z) satisfying g(z) = 
9((az + b)/(cz +d)). 92¢:30002 

McCabe, John H. see Magnus, Arne, 92c:30002 

Nishizawa, Kiyoko (with Ohba, Sachio) The Béttcher functional equation and the 
transfinite diameter of a fractal set. (Japanese. English summary) 92k:28015 

Ohba, Sachio see Nishizawa, Kiyoko, 92k:28015 

Qiao, Jian Yong On the growth of compositions of linear and meromorphic functions. 
92i:30030 


39B42 Matrix and operator equations 


Heuvers, Konrad J. (with Moak, Daniel S.) The characterization of determinant and 
permanent functions by the Binet-Cauchy theorem. 92j:39015 

— (with Moak, Daniel S.) The solution of the Binet-Cauchy functional equation for square 
matrices. 92¢:39027 

Moak, Daniel S. see Heuvers, Konrad J., 92e:39027 and 92j:39015 

Pelyukh, G. P. Solutions of systems of nonlinear functional equations that are continuous 
and bounded on the real axis. (Russian) 92a:39012 


Items with secondary classifications in 39B42 


Gleissner, Winfried A characterization of the price indices satisfying the Eichhorn-Voeller 
axioms. 92i:90031 

Lin, You Feng see Ratti, J. S., 924:39016 

Ratti, J.S. (with Lin, You Feng) A functional equation involving f and f~'. 92d:39016 


39B52 Equations for functions with more general domains and/or 
ranges 


Aczél, Janos (with Chung, J. K.; Ng, C. T.) Symmetric second differences in product form 
on groups. 

Alsina, Claudi (with Garcia Roig, J.-L.) On the functional equation |7(x) - T(y)|=|x - y|. 
92j:39016 

Baker, John A. see Bean, Michael, 92£:39015 

Baron, K. (with Kannappan, Pl.) On the Pexider difference. 92a:39013 

Baster, Janusz Almost additive functions on Ehresmann groupoids. 92m:39017 

Bean, Michael (with Baker, John A.) The stability of a functional analogue of the wave 
equation. 92f:39015 

Borelli Forti, Costanza (with Forti, Gian Luigi) On a class of alternative functional 
equations of Cauchy type. 92i:39006 

Battcher, Albrecht (with Heidler, Harald) On linear functional equations with two 
involutions. 92h:39011 

Chaljub-Simon, Alice (with Volkmann, Peter) Bemerkungen zu einem Satz von Rodé. 
[Remarks on a theorem of Rodé] 92i:39007 

Chung, J. K. see Aczél, Janos; et al., 92g:39007 

Dong, Bing Hua A revision of the existence theorem for a class of functional equations. 
(Chinese) 924:39023 

Dyjak, Czestaw BV-solutions of nonlinear functional equations of higher order. 92e:39028 


39B Functional equations 


39B52 


Ebanks, Bruce R. (with Heuvers, Konrad J.; Ng, C. T.) On Cauchy differences of all orders. 
92i:39008 

Eviampiev, N. P. (with Filippov, I. E.) Periodic solution of a linear functional equation with 
a variable coefficient. (Russian) 92m:39018 

Filippov, I. E. see Evlampiev, N. P., 92m:39018 

Forti, Gian Luigi Stability of homomorphisms and their applications to functional 
equations. (Italian. English summary) 924:39024 

— (with Paganoni, Luigi) Q-additive functions on topological groups. 92i:39009 

— (with Paganoni, Luigi) On an alternative Cauchy equation in two unknown functions. 
Some classes of solutions. 92h:39012 

— see also Borelli Forti, Costanza, 92i:39006 

Gajda, Zbigniew A generalization of d’Alembert’s functional equation. 92a:39014 

— Unitary representations of topological groups and functional equations. 92m:39019 

— On stability of additive mappings. 92e:39029 

Garcia Roig, J.-L. see Alsina, Claudi, 92j:39016 

Gudder, Stanley A generalization of d’Alembert’s functional equation. 92i:39010 

Haruki, Hiroshi A new quadratic equation. 92h:39013 

Haruki, Shigeru see Tsutsumi, Akira, 92j:39018 

Heidler, Harald see Battcher, Albrecht, 92h:39011 

Heuvers, Konrad J. (with Moak, Daniel S.) The Binet-Pexider functional equation for 
rectangular matrices. 92g:39008 

— see also Ebanks, Bruce R.; et al., 92i:39008 

Hyers, D. H. Polynomial operators. 92e:39030 

Kannappan, Pl. Cauchy equations and some of their applications. 92k:39014 

— see also Baron, K., 92a:39013 

Lausch, Hans (with Przeworska-Rolewicz, Danuta) Some functional equations appearing 
in algebraic analysis. (Polish summary) 92h:39014 

Mach, Andrzej Sur ies solutions disjointes de I’équation de translation. [On disjoint 
solutions of the translation equation] 92e:39031 

Midura, Stanislaw Sur les solutions des équations fonctionnelles qui déterminent certains 
sous-demi-groupes a deux paramétres du groupe L}. [On solutions of functional equations 
that determine some two-parameter subsemigroups of the group L}] 92g:39009 

Moak, Daniel S. see Heuvers, Konrad J., 92g:39008 

Moszner, Zenon Sur les propriétés complémentaires des solutions de |’équation de 
translation. [Complementary properties of solutions of the translation equation] 
92j:39017 

Ng, C.T. see Aczél, Janos; et al., 92g:39007 and Ebanks, Bruce R.; et al., 92i:39008 

Nikéevi¢, Stana Z. Linear group functional equation and existence of the group inverse of 
the corresponding matrix. (Serbo-Croatian summary) 92i:39011 

Nikodem, Kazimierz The stability of the Pexider equation. 92m:39020 

Paganoni, Luigi see Forti, Gian Luigi, 92h:39012 and 92i:39009 

Przeworska-Rolewicz, Danuta see Lausch, Hans, 92h:39014 

Riedel, Thomas Cauchy’s equation on At. 92h:39015 

Schulz, J. On an abstract version of some functional equation. 92f:39016 

Székelyhidi, Laszl6 * Convolution type functional equations on topological abelian groups. 
92:39017 

Tsutsumi, Akira (with Haruki, Shigeru) On hypoelliptic functional equations. 92j:39018 

Volkmann, Peter see Chaljub-Simon, Alice, 92i:39007 


Items with secondary classifications in 39B52 


Alsina, Claudi On the stability of a functional equation related to associativity. 92i:39005 

Arkeryd, Leif (with Cercignani, Carlo) On a functional equation arising in the kinetic 
theory of gases. (Italian summary) 92£:39013 

Berg, Lothar Fiinf mehrdimensionale Funktionalgleichung 
functional equations] 92k:39008 

Brzdek, Janusz Subgroups of the Clifford group. 92d:20072 

— On the solutions of the functional equation f(x f(y)! + yf(x)*) =tf(x) f(y). 92e:39021 

Butnariu, Dan (with Klement, Erich Peter) Triangular norm-based measures and their 
Markov kernel representation. 92i:28024 

Cercignani, Carlo see Arkeryd, Leif, 92f:39013 

Deeba, Elias Y. (with Koh, E. L.) d’Alembert functional equations in distributions. 
92k:46066 

Ebanks, Bruce R. Differentiable solutions of a generalized cocycle functional equation for 
six unknown functions. 92j:39013 

Gajda, Zbigniew Local stability of the functional equation characterizing polynomial 
functions. 92d:39026 

Herve, Loic Etude d’une équation fonctionnelle matricielle. [Study of a matrix functional 
equation] 92k:42043 

Heuvers, Konrad J. (with Moak, Daniel S.) The Binet-Cauchy functional equation and 
nonsingular multiindexed matrices. 92a:15010 

Klement, Erich Peter see Butnariu, Dan, 92i:28024 

Koh, E. L. see Deeba, Elias Y., 92k:46066 

Kominek, Zygfryd Convex functions and epigraphs. (Serbo-Croatian summary) 92a:46009 

Kucharzewski, Mieczystaw (with Szocitiski, Brunon; Zabka, Marek) On the relations 
between abstract and geometrical equivalence of abstract objects. 92m:20004 

Kwiatkowski, Jan (with Rojek, T.) A method of solving a cocycle functional equation and 
applications. 92g:28029 

Laczkovich, Miklés (with Révész, Szilard Gy.) Decompositions into the sum of periodic 
functions belonging to a given Banach space. 92a:39003 

Ma, Yi Hai see Zhang, Shi Sheng, 92i:47084 

Mazure, M.-L. Equations de convolution et formes quadratiques. (English summary) 
[Convolution equations and quadratic forms] 92k:47144 

Moak, Daniel S. see Heuvers, Konrad J., 92a:15010 

Moszner, Zenon Sur une forme de familles de fonctions commutatives. [On a form of 
families of commutative functions] 92j:20065 

Ritz, J. On orthogonally additive mappings. III. 92d:46057 

Révész, Szilard Gy. see Laczkovich, Miklés, 92:39003 

Rojek, T. see Kwiatkowski, Jan, 92g:28029 

Semrl, Peter The Cauchy functional equation on real Banach algebras. 92h:46072 





[Five multidimensional 





39B52 


Skof, Fulvia Approximately isometric functionals on normed spaces. (Italian summary) 
92c:46020 

— On d-isometries in normed spaces. (Italian. English summary) 92j:46020 

Sumin, V.I. Sufficient stability conditions for the existence of global solutions of control- 
lable boundary value problems. (Russian) 92¢:49009 

Szab6, Gy. On orthogonality spaces admitting nontrivial even orthogonally additive 
mappings. 92i:46024 

— A characterization of generalized inner product spaces (g-orthogonally additive 
mappings). III. 92j:46041 

Szocitiski, Brunon see Kucharzewski, Mieczystaw; et al., 92m:20004 

Zabka, Marek see Kucharzewski, Mieczystaw; et al., 92m:20004 

Zhang, Shi Sheng (with Ma, Yi Hai) Coupled fixed points for mixed monotone condensing 
operators and an existence theorem of the solutions for a class of functional equations 
arising in dynamic programming. 92i:47084 

Zarawiecki, Jerzy Locally reducible iterative systems. 92j:39012 


39B62 Systems of functional equations 


Alsina, Claudi A characterization of the room index by means of functional equations. 
924:39025 


Items with secondary classifications in 39B62 

(Diewert, W. E.) see Price level measurement, 92g:90038 

Kurbanshoev, S. Z. Analytic solutions of systems of functional equations. (Russian. 
Ukrainian summary) 92¢:39002 

Marzegalli, Stefania On a class of functional equations characterizing the sine 

function. 92k:39013 

Zhang, Shi Sheng Some existence theorems of common and coincidence solutions for 
a class of systems of functional equations arising in dynamic programming. (Chinese. 
English summary) 92c:90121 


Items listed otherwise than by author 
Price level measurement * Price level measurement. 92g:90038 


39B72 Inequalities involving unknown functions [see also 26A51, 
26Dxx] 


Alzer, Horst A note on a functional inequality. 92m:39021 
Gajda, Zbigniew Local stability of the functional equation characterizing polynomial 
functions. 92d:39026 


Items with secondary classifications in 39B72 

Alsina, Claudi On the stability of a functional equation related to associativity. 92i:39005 

Baker, John A. see Bean, Michael, 92£:39015 

Bean, Michael (with Baker, John A.) The stability of a functional analogue of the wave 
equation. 92f:39015 

Dragomirescu, Mihai (with Ivan, Constantin) Extensions of Jensen’s inequality. II. 
92b:26033 

Gajda, Zbigniew On stability of additive mappings. 92¢:39029 

Goh, C. J. (with Teo, Kok Lay) Alternative algorithms for solving nonlinear function and 
functional inequalities. 92a:65204 

Ivan, Constantin see Dragomirescu, Mihai, 92b:26033 

Kamont, Zdzislaw (with Kwapisz, Marian; Zacharek, S.) On difference-functional 
inequalities related to some classes of partial differential-functional equations. 92e:39001 

Kubo, Fumio Operator means determined by an operator equation. 92g:47022 

Kwapisz, Marian see Kamont, Zdzisiaw; et al., 92e:39001 

Matkowski, Janusz (with Swiatkowski, Tadeusz) Quasi-monotonicity, subadditive 
bijections of R,, and characterization of L’-norm. 92g:26014 

Nikodem, Kazimierz The stability of the Pexider equation. 92m:39020 

— On e-invariant measures and a functional equation. 92m:39014 

Pales, Zsolt On Young-type inequalities. 92d:26027 

Swiatkowski, Tadeusz see Matkowski, Janusz, 92g:26014 

Tabor, Jézef On the alternative stability of the Cauchy equation. 92k:39006 

Teo, Kok Lay see Goh, C. J., 92a:65204 

Varma, A. K. On some extremal properties of algebraic polynomials. 92m:41042 

Zacharek, S. see Kamont, Zdzistaw; et al., 92e:39001 


39B99 None of the above, but in this section 


Liu, Zhe Sheng On the solutions to linear nonhomogeneous recurrence relations with 
constant coefficients. (Chinese) 


Items with secondary classifications in 39B99 


Lebrun, J.-P. M. Functional equation underlying the quantum theory of fields. 92b:81123 

de la Llave, R. (with Rana, David) Accurate strategies for K.A.M. bounds and their 
implementation. 924:58174 

Rana, David see de la Llave, R., 92d:58174 


FINITE DIFFERENCES AND FUNCTIONAL EQUATIONS 


40-XX Sequences, series, summability 


40-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 40-00 


Brezinski, Claude * A bibliography on continued fractions, Padé approximation, sequence 
transformation and related subjects. 92j:00011 


40-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Items with secondary classifications in 40-01 

(Gregory, James) see Roy, Ranjan, 92a:01029 

(Leibniz, Gottfried Wilhelm) see Roy, Ranjan, 92a:01029 

(Nilakantha, Kerala Gargya) see Roy, Ranjan, 92a:01029 

Roy, Ranjan The discovery of the series formula for 2 by Leibniz, Gregory and Nilakantha. 
92a:01029 


40-02 Research exposition (monographs, survey articles) 

Dem’yanov, V. F. (with Rubinov, A. M.) * OcHosbI Hernagxkoro aHanH3a H KBasu“audep- 
eHIHasbHoe HcuncHeHHe. (Russian) [Foundations of nonsmooth analysis, and quasidiffer- 
ential calculus] 92j:40001 

Rubinov, A. M. see Dem’yanov, V. F., 92j:40001 


40-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 40-03 


Petrova, S.S. Euler-Maclaurin’s summation formula, and asymptotic series. (Russian) 
92£:01021 


40-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Items with secondary classifications in 40-04 
Solomon, Frederick Monte Carlo simulation of infinite series. 


40Axx Convergence and divergence of infinite limiting 
processes 


40A05 Convergence and divergence of series and sequences 


Bagarir, Metin On rates of convergence of sequences. 92g:40001 

Bhattacharyya, Kamal see Sarkar, Biplab, 92i:40002 

Bondarenko, V. F. Efficient summation of Schlémilch series of cylindrical functions. 
(Russian) 92j:40002 

Chandrasekhara Rao, K. The Hahn sequence space. 92c:40001 

Frankové, Dana Nonabsolutely convergent series. 92i:40001 

Fridy, J. A. (with Miller, Harry I.) A matrix characterization of statistical convergence. 
92¢e:40001 

Mikhalin, G. A. (with Mokhort, E. V.; Teslenko, L. S.) A core (in the sense of Knopp) of a 
sequence and its conservative matrix means. (Russian) 92¢:40002 

Miller, Harry I. see Fridy, J. A., 92e:40001 

Mokhort, E. V. see Mikhalin, G. A.; et al., 92e:40002 

Pales, Zsolt On the convergence of means. 92c:40002 

PaStéka, Milan Convergence of series and submeasures of the set of positive integers. 
92b:40001 

Sangél, M. Ali Permutation preserving convergence and divergence of series. 92a:40001 

— On absolute equivalence of permutation functions. 92m:40001 

Sarkar, Biplab (with Bhattacharyya, Kamal) Solution of convergence difficulties in the 
Madelung-sum problem: an extrapolation scheme for sawtooth sequences. 92i:40002 

Smith, Arthur Convergence-preserving functions: an alternative discussion. 

Starbird, Michael (with Starbird, Thomas) Required redundancy in the representation of 
reals. 92f:40001 

Starbird, Thomas see Starbird, Michael, 92f:40001 

Tagamilitski, Yaroslav A. A diagonal principle for generalized sequences and some of its 
applications. 92g:40002 

Teslenko, L.S. see Mikhalin, G. A.; et al., 92e:40002 

Tezin, A.M. Some conditions for the convergence of multiple improper integrals and 
numerical series. (Russian) (see 92d:28002) 


Items with secondary classifications in 40A05 


Adamovi¢, Dugan D. Corrections and supplements of some details in two former papers: 
“Solutions of two functional equations that are close to the Cauchy equation” [Mat. 
Vesnik 9(24) (1972), 19-22; MR 48 #11827] and “An identity and asymptotic behaviour 
of some sequences” [Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 544-576 
(1976), 149-154; MR 56 #6235]. 

Azam, M. (with Jain, Sudhir R.; Lawande, Suresh V.) Conditionally convergent series and 
chaos in deterministic maps. 92g:58081 

de Barra, G. see Borwein, Jonathan M., 92i:11011 

Borwein, Jonathan M. (with de Barra,G.) Nested radicals. 92i:11011 

Bukovska, Zuzana (with Salat, Tibor) Some types of convergence of sequences of real- 
valued functions. (Russian and Slovak summaries) 92k:26016 





659 1992 


— Quasinormal convergence. 92k:26015 

Fehér, L. Gy. (with Laczkovich, Miklés; Tardos, G.) Croftian sequences. 92k:26017 

Hoffman, Michael E. Multiple harmonic series. 92i:11089 

Jain, Sudhir R. see Azam, M.; et al., 92g:58081 

Laczkovich, Miklés see Fehér, L. Gy.; et al., 92k:26017 

Lawande, Suresh V. see Azam, M.; et al., 92g:58081 

Osada, Naoki A method for obtaining sequence transformations. 92m:65011 

Riedel, Roland K ‘genzbeschleunigung von Potenzreihen mittels Euler-Bromwich- 
Transformation. II. [Accelerating the convergence of power series by means of the Euler- 
Bromwich transform. II] 92g:30003 

Salat, Tibor see Bukovské, Zuzana, 92k:26016 

Sulaiman, W.'T. On some summability factors of infinite series. 92i:40009 

Tardos, G. see Fehér, L. Gy.; et al., 92k:26017 





40A10 Convergence and divergence of integrals 


Items with secondary classifications in 40A10 

Mazhar, S. M. On integrability of power series. 92i:26005 

Tezin, A.M. Some conditions for the convergence of multiple improper integrals and 
numerical series. (Russian) (see 92d:28002) 


40A15 Convergence and divergence of continued fractions 
[see also 30B70] 


Boltarovich, E. A. An analogue of the Leighton-Wall test for convergence for branched 
continued fractions. (Russian) (see 92a:00034) 

Hovstad, R. M. A simple continued fraction test for the irrationality of functions. 
925:40003 

Kuchminskaya, Kh. I. Conditions for the convergence of two-dimensional continued 
fractions with complex components. (Russian) 92b:40002 

Levrie, Paul Convergence acceleration for n-fractions. 92k:40001 

Lorentzen, Lisa (with Masson, David R.) A sequence of best parabola theorems for 
continued fractions. 92¢:40003 

Masson, David R. see Lorentzen, Lisa, 92e:40003 

Njastad, Olav (with Waadeland, Haakon) A nearness result for PC-fractions. 92k:40002 

Sus’, O.N. Acceleration of convergence of two-dimensional continued fractions. (Russian) 
92b:40003 

Waadeland, Haakon Boundary version of a twin region convergence theorem for continued 
fractions. 92k:40003 

— see also Njastad, Olav, 92k:40002 


Items with secondary classifications in 40A15 


Brezinski, Claude * History of continued fractions and Padé approximants. 92c:01002 

Gelfgren, Jan see Karlsson, Johan; et al., 92j:30004 

Gupta, Dharma P. (with Masson, David R.) Exceptional g-Askey-Wilson polynomials and 
continued fractions. 92b:33047 

Hendriksen, Erik Associated Jacobi-Laurent polynomials. 92b:33019 

Karlsson, Johan (with Wallin, Hans; Gelfgren, Jan) Iteration of Mébius transforms and 
continued fractions. 92j:30004 

Lorentzen, Lisa Arithmetic operations with regular C-fractions. 92m:65024 

Masson, David R. see Gupta, Dharma P., 92b:33047 

Naumov, E. A. Continued fraction expansions of analytic functions of certain membership 
classes. (Russian) 92k:30007 

Wallin, Hans see Karlsson, Johan; et al., 92j:30004 

Zhang, Liang Cheng q-difference equations and Ramanujan-Selberg continued fractions. 
92j:11008 


40A25 Approximation to limiting values (summation of series, 
etc.) {For the Euler-Maclaurin summation formula, see 
65B15.} 


de Doelder, P. J. On some series containing y(x) — w(y) and (w(x) — w(y))? for certain 
values of x and y. 92m:40002 

Fernandez, Francisco M. Evaluation of partial sums and infinite series in closed form by 
means of an operator method. 92d:40001 

Marichev, O.1. see Vasilev, I. L., 92f:40002 

Vasil’ev, I. L. (with Marichev, O. 1.) An operational method for the summation of series 
based on the Laurent transform. (Russian. English summary) 92f:40002 


Items with secondary classifications in 40A25 

DeTemple, Duane W. (with Wang, Shun-Hwa) Half integer approximations for the partial 
sums of the harmonic series. 92j:41042 

Draux, André On composite sequence transformations. 92a:65025 

Jardas, Cvetan (with Sarapa, Nikola) On summability of pairs of sequences of random 
variables. 92m:60030 

Matos, AnaC. Acceleration methods based on convergence tests. 92a:65026 

Popov, A. Yu. Approximations of the values of some infinite products. (Russian) 92f:11097 

Sarapa, Nikola see Jardas, Cvetan, 92m:60030 

Walz, Guido Asymptotic expansions and acceleration of convergence for higher order 
iteration processes. 92k:65007 

Wang, Shun-Hwa see DeTemple, Duane W., 92j:41042 

Weniger, Ernst Joachim On the derivation of iterated sequence transformations for the 
acceleration of convergence and the summation of divergent series. 92i:65015 

Yukalov, V. I. Method of self-similar approximations. 92c:81035 


40C General summability methods 


40C05 


40A30 Convergence and divergence of series and sequences of 
functions 


Ralbovsky, Pavol On the sequences of bounded variation. (Russian and Slovak summaries) 
92c:40003 


Items with secondary classifications in 40A30 

Ball, Joseph A. (with Fanney, Thomas R.) Uniform limits of sequences of polynomials and 
their derivatives. 92f:41012 

Ceder, Jack G. (with Humke, Paul D.) On series representation of functions. 92e:26005 

Fanney, Thomas R. see Ball, Joseph A., 92f:41012 

Gill, John Inner composition of analytic mappings on the unit disk. 92g:30004 

Humke, Paul D. see Ceder, Jack G., 92e:26005 


40A99 None of the above, but in this section 


Arslanagi¢, Sefket see Starc, Zdravko F. 
Priestley, W. M. Complex sequences whose “moments” all vanish. 92m:40003 
Starc, Zdravko F. (with Arslanagi¢, Sefket) Harmonic numbers. (Serbo-Croatian) 


Items with secondary classifications in 40A99 

Savas, Ekrem Almost convergence and almost summability. 92b:46013 

Wang, Yuan Jiang see Xu, Li Zhi; et al., 92d:26032 

Xu, Li Zhi (with Wang, Yuan Jiang) A refinement of Hilbert’s double series theorem. 
92d:26032 


40B05 Multiple sequences and series (should also be 
assigned at least one other classification number 
in this section) 

Items with secondary classifications in 40B05 


Méoricz, Ferenc On A-strong convergence of double numerical sequences and Fourier series. 
92h:42024 


40Cxx General summability methods 


Items with secondary classifications in 40Cxx 
Silverman, Herb Summing infinite series with sex. 92e:05011 


40C05 Matrix methods 


Atalla, Robert E. Regular matrices and P-sets in 8N ~ N. II. 92h:40001 

Basar, Feyzi Certain matrix sequences on /(p). (Turkish summary) 92b:40004 

— (with Solak, Ihsan) Almost-coercive matrix transformations. (Italian summary) 
92m:40004 

— f-conservative matrix sequences. 92i:40003 

DeFranza, J. (with Zeller, K.) Matrix summability of unbounded sequences. 92h:40002 

Khan, Mushir Ahmad Matrix transformations of sequences of almost bounded variation. 
(Serbo-Croatian summary) 92j:40004 

Khare, Satya Prakash (with Tripathi, Virendra Kumar) Summability of Laguerre series at 
the point x = 0. 92b:40005 

Kishore, Nand (with Misra, U. K.; Panigrahi, C. D.) Ona class of limitation methods. 
92b:40006 

Misra, U. K. see Kishore, Nand; et al., 92b:40006 

Mursaleen Infinite matrices of the type M(E). 92m:40005 

Naray, Fatih see Savas, Ekrem, 92h:40003 

Panigrahi, C. D. see Kishore, Nand; et al., 92b:40006 , 

Pehlivan, Serpil On a characterisation of a certain matrix class. (Turkish. English summary) 
92b:40007 

— Aclass of matrix transformation. 92k:40004 

— The characterization of certain classes of matrix transformations. (Turkish. English 
summary) 92b:40008 

Savas, Ekrem (with Nuray, Fatih) Matrix transformation of /,(s) tol’, I*,I°, and q. 
92h:40003 

Solak, Ihsan Strongly-conservative matrix sequences. (Turkish summary) 92a:40002 

— see also Basar, Feyzi, 92m:40004 

Tripathi, Virendra Kumar see Khare, Satya Prakash, 92b:40005 

Zeller, K. see DeFranza, J., 92h:40002 


Items with secondary classifications in 40C05 

Balc1, M. On absolutely conservative matrices. 92i:47028 

Basarir, Metin Paranormed Cesaro difference sequence space and related matrix transfor- 
mations. (Turkish summary) 92b:40014 

Bultheel, Adhemar (with Van Barel, Marc) A matrix Euclidean algorithm and the matrix 
minimal Padé approximation problem. 92g:41022 

Chandrasekhara Rao, K. The Hahn sequence space. 92c:40001 

Fridy, J. A. (with Miller, Harry I.) A matrix characterization of statistical convergence. 
92e:40001 

Jakimovski, Amnon (with Tietz, Hubert) Eigenvalues for generalized Hausdorff matrices. 
92i:47030 

Miller, Harry I. see Fridy, J. A., 92e:40001 

Natarajan, P. N. On the core of a sequence over valued fields. 92e:46149 

— Criterion for regular matrices in non-Archimedean fields. 92m:46112 

S. see Savas, Ekrem, 92i:40010 
Rhoades, B. E. The point spectra for certain classes of operators in B(/?). 92i:47029 
Sanigil, M. Ali On absolute equivalence of permutation functions. 92m:40001 





40C05 


Savas, Ekrem (with Ozqelik, S.) F,-summability in certain linear topological spaces. 
92i:40010 

Tietz, Hubert see Jakimovski, Amnon, 92i:47030 

Van Barel, Marc see Bultheel, Adhemar, 92g:41022 


40C10 Integral methods 


Moroz, Alexander Summability method for a horn-shaped region. 92a:40003 

Olivier, Patrick (with Rahman, Q. I.; Szynal, Jan) On the (C, 1) means of a power series 
and the positive definiteness of an associated matrix. (Russian summary) 92b:40009 

Rahman, Q.I. see Olivier, Patrick; et al., 92b:40009 

Szynal, Jan see Olivier, Patrick; et al., 92b:40009 


40C15 Function-theoretic methods (including power series 
methods and semicontinuous methods) 
Székelyhidi, Laszl6 Summing power series with exponential polynomial coefficients. 


Items with secondary classifications in 40C15 

Briick, Rainer Summability of sequences of polynomial interpolants in the roots of unity. 
92k:30057 

Olivier, Patrick (with Rahman, Q. L.; Szynal, Jan) On the (C, 1) means of a power series 
and the positive definiteness of an associated matrix. (Russian summary) 92b:40009 

Rahman, Q. I. see Olivier, Patrick; et al., 92b:40009 

Riedel, Roland Konvergenzbeschleunigung von Potenzreihen mittels Euler-Bromwich- 
Transformation. II. [Accelerating the convergence of power series by means of the Euler- 
Bromwich transform. II] 92g:30003 

Szynal, Jan see Olivier, Patrick; et al., 92b:40009 





40C99 None of the above, but in this section 
Schatte, Peter On uniform limitability and Banach limits. 92j:40005 


Items with secondary classifications in 40C99 

Adomian, George A. see Rach, R. C.; et al., 92i:34015 

Meyers, R. E. see Rach, R. C.; et al., 92i:34015 

Rach, R.C. (with Adomian, George A.; Meyers, R. E.) A modified decomposition. 
92i:34015 


40Dxx Direct theorems on summability 


40D05 General theorems 


Items with secondary classifications in 40D05 

Fridy, J. A. (with Miller, Harry I.) A matrix characterization of statistical convergence. 
92e:40001 

Miller, Harry I. see Fridy, J. A., 92e:40001 

Natarajan, P. N. A characterization of the matrix class (/,., Co). 92m:40006 


40D09 Structure of summability fields 

Moricz, Ferenc (with Rhoades, B. E.) Some characterizations of almost convergence for 
single and double sequences. 92d:40002 

Rhoades, B. E. see Méricz, Ferenc, 92d:40002 


Spreng, Karl-Eugen The set of almost convergent sequences as intersections of summability 
fields. 92b:40010 


40D15 Convergence factors and summability factors 


Balci, M. On g-|C,a|, summability factors of Jacobi series. 92b:40011 
Bor, Hiiseyin On strong boundedness factors of infinite series. 92i:40004 
— Factors for |N, pq|, summability of infinite series. 92k:40005 

— On quasi-monotone sequences and their applications. 92¢:40004 


Items with secondary classifications in 40D15 


Bor, Hiiseyin Absolute summability factors for infinite series. 92¢:40005 
Sulaiman, W.T. Multipliers for the g-|C, a|, summability of infinite series. 92a:40005 


40D20 Summability and bounded fields of methods 


Connor, Jeff R-type summability methods, Cauchy criteria, P-sets and statistical conver- 
gence. 92i:40005 


Natarajan, P. N. A characterization of the matrix class (/., Co). 92m:40006 


40D25 Inclusion and equivalence theorems 


Mohanty, D. see Tripathy, B. K., 92m:40007 
Sulaiman, W.T. A study on a relation between two summability methods. 92i:40006 
Tripathy, B. K. Some properties of (N, p,q) methods. 92f:40003 


— (with Mohanty, D.) On some comparison and total comparison theorems in summability. 


92m:40007 


Items with secondary classifications in 40D25 


Connor, Jeff R-type summability methods, Cauchy criteria, P-sets and statistical conver- 
gence. 92i:40005 


Sulaiman, W.T. On a relation between two summability methods. 92c:40008 


SEQUENCES, SERIES, SUMMABILITY 


40D99 None of the above, but in this section 


Chandrasekhara Rao, K. (with Srinivasalu, T.G.) Matrix operators on analytic and entire 
sequences. 92j:40006 
Srinivasalu, T.G. see Chandrasekhara Rao, K., 92j:40006 


Items with secondary classifications in 40D99 

Ecalle, Jean P. Finitude des cycles-limites et accéléro-sommation de l’application de retour. 
[Finiteness of limit-cycles and accelero-summation of the return mapping] 92e:58166 

Ganapathy, M. K. Borel-type transform of Tauberian series. 92:40004 

Savas, Ekrem Almost convergence and almost summability. 92b:46013 

Wiessner, Martin A concept of regularity for summability of Dirichlet series. 92a:30003 


40Exx Inversion theorems 


40E05 Tauberian theorems, general 


Bingham, N. H. (with Luther, Wolfram Jéréme) Ein Tauberscher Restgliedsatz fiir Jacobi- 
Reihen. [A Tauberian remainder theorem for Jacobi series] 92i:40007 

Cline, Daren B. H. Abelian and Tauberian theorems relating the local behavior of an 
integrable function to the tail behavior of its Fourier transform. 92b:40012 

Drozhzhinov, Yu. N. (with Zav'yalov, B. I.) On multidimensional generalizations of 
regularly varying functions and Tauberian and Abelian theorems. 92d:40003 

Ganapathy, M. K. Borel-type transform of Tauberian series. 92f:40004 

Khan, Mohammad Kazim Statistical methods in analysis. I. Some Tauberian theorems for 
absolute summability. 92j:40007 

Kiesel, R. (with Stadtmiiller, U.) Tauberian theorems for general power series methods. 
92m:40008 

Luther, Wolfram Jéréme Abelsche und Taubersche Satze fiir Laguerre-Reihen. (English 
summary) [Abelian and Tauberian theorems for Laguerre expansions] 92m:40009 

— see also Bingham, N. H., 92i:40007 

Maddox, I. J. Tauberian theorems for some classes of discrete Abel means. (Serbo-Croatian 
summary) 92a:40004 

— A Tauberian theorem for discrete Abel means. 92b:40013 

Schlag, Wilhelm A note on complex Tauberian theorems. 92k:40006 

Slepenchuk, K.M. Tauberian-type theorems for matrix transformations of double series. 
(Russian. Ukrainian summary) 92j:40008 

Stadtmiiller, U. see Kiesel, R., 92m:40008 

Tietz, Hubert Schmidtsche Umkehrbedingungen fiir Potenzreihenverfahren. [Schmidt 
inverse conditions for power series methods] 92h:40004 

Zav'yalov, B. 1. see Drozhzhinov, Yu. N., 92d:40003 


Items with secondary classifications in 40E05 

Drozhzhinov, Yu. N. see Viadimirov, V. S.; et al., 92m:46058 

Viadimirov, V.S. (with Drozhzhinov, Yu. N.; Zav'yalov, B. I.) Tauberian theorems for 
distributions. 92m:46058 

Zav'yalov, B. I. see Viadimirov, V. S.; et al., 92m:46058 


40E10 Growth estimates 


Items with secondary classifications in 40E10 
Ganapathy, M. K. Borel-type transform of Tauberian series. 92f:40004 


40E20 Tauberian constants 


Items with secondary classifications in 40E20 
Ganapathy, M. K. Borel-type transform of Tauberian series. 92f:40004 


40F05 Absolute and strong summability 


Al-Madi, Azmi K. On translativity of absolute Rogosinski-Bernstein summability methods. 
92£:40005 

Bor, Hiiseyin Absolute summability factors for infinite series. 92c:40005 

— On the relative strength of two absolute summability methods. 92c:40006 

— On the |N, p,|, summability factors for infinite series. 92m:40010 

— Absolute Nérlund summability factors. 92m:40011 

Cakar, O. (with Orhan, Cihan) A note on absolute summability. 92h:40005 

Orhan, Cihan see Cakar, O., 92h:40005 and Savas, Ekrem, 92h:40006 

Sangiél, M. Ali On absolute summability factors. 92m:40012 

Savas, Ekrem (with Orhan, Cihan) On strongly o-regular summability methods. 92h:40006 

— On strong almost A-summability with respect to a modulus and statistical convergence. 
92k:40007 

Sulaiman, W. T. Multipliers for the g-|C, a|, summability of infinite series. 92a:40005 


Items with secondary classifications in 40F05 


Bor, Hiiseyin On strong boundedness factors of infinite series. 92i:40004 

— On quasi-monotone sequences and their applications. 92¢:40004 

Khan, Mohammad Kazim Statistical methods in analysis. I. Some Tauberian theorems for 
absolute summability. 92j:40007 

Leindler, L. On the strong and very strong summability of orthogonal series. 92m:42036 

Nanda, Sudarsan Banach limits and almost convergence. 92c:46008 

Patidar, Satish Chandra see Sharma, Sushil, 92g:42017 

Rodin, V. A. The space BMO and strong means of Fourier series. (Russian summary) 
92g:42002 

Sharma, Sushil (with Patidar, Satish Chandra) On g-|c,a|p summability factors of Jacobi 
series. 92g:42017 

Sulaiman, W. T. On a relation between two summability methods. 92c:40008 





661 1992 


40Gxx Special methods of summability 


40G05 Cesaro, Euler, Nérlund and Hausdorff methods 


Agrawal, S. R. see Kantawala, Pragna S. 

Drmota, Michael On iterated weighted means of bounded sequences and uniform 
distribution. 92h:40007 

Kantawala, Pragna S. (with Agrawal, S. R.) On the generalized Nérlund summability of 
orthogonal series. 

Khare, Satya Prakash see Singh, Amar Nath, 92c:40007 

Sakata, Hiroshi Convexity theorems for Riesz means. 92k:40008 

Singh, Amar Nath (N, p*) summability of Jacobi series. (Hindi. English summary) 

— (with Khare, Satya Prakash) (N,p,q) summability of the Laguerre expansion. 92c:40007 

Sulaiman, W. T. On a relation between two summability methods. 92c:40008 

Tam, Laying Cesaro and general Euler-Borel summability. 92i:40008 

Tietz, Hubert Ein elementarer Beweis fiir den Aquivalenzsatz von Knopp und Schnee. [An 
elementary proof for the equivalence theorem of Knopp and Schnee] 92¢:40004 


Items with secondary classifications in 40G05 


Balci, M. On g-|C,a|, summability factors of Jacobi series. 92b:40011 

Baron, Simson Summability factors with a rate and multipliers of double Fourier series of 
Lipschitz classes. 92m:42016 

Basarir, Metin Paranormed Cesaro difference sequence space and related matrix transfor- 
mations. (Turkish summary) 92b:40014 

Basili, C. see Etim, E.; et al., 92a:81119 

Blimlinger, Martin (with Obata, Nobuaki) Permutations preserving Cesaro mean, densities 
of natural numbers and uniform distribution of sequences. (French summary) 92j:43002 

Bor, Hiiseyin On strong boundedness factors of infinite series. 92i:40004 

DeFranza, J. (with Zeller, K.) Matrix summability of unbounded sequences. 92h:40002 

Etim, E. (with Pallotta, M.; Basili,C.) Analytic regularisation of inversion transform 
integrals by Cesaro summability. 92a:81119 

Jiang, Hui Kun A class of approximation identity operators on local fields. (Chinese. English 
summary) 92¢:41018 

Khan, Mohammad Kazim Statistical methods in analysis. I. Some Tauberian theorems for 
absolute summability. 92j:40007 

Khare, Satya Prakash (with Tripathi, Virendra Kumar) Summability of Jacobi series. 
92b:42033 

Mohanty, D. see Tripathy, B. K., 92m:40007 

Nestoridis, V. (with Pichorides, S. K.) The circular structure of the set of limit points of 
partial sums of Taylor series. 92h:30005 

Obata, Nobuaki see Bliimlinger, Martin, 92j:43002 

Olivier, Patrick (with Rahman, Q. I.; Szynal, Jan) On the (C, 1) means of a power series 
and the positive definiteness of an associated matrix. (Russian summary) 92b:40009 

Pallotta, M. see Etim, E.; et al., 92a:81119 

Pichorides, S. K. see Nestoridis, V., 92h:30005 

Rahman, Q.I. see Olivier, Patrick; et al., 92b:40009 

Rhoades, B. E. Corrections: “/?-norms of some generalized Hausdorff matrices” [Canad. 
Math. Bull. 32 (1989), no. 4, 500-504; MR 91c:47012]. 92g:47007 

Sangél, M. Ali On absolute weighted mean summability methods. 92h:40008 

Schlag, Wilhelm A note on complex Tauberian theorems. 92k:40006 

Singh, Amar Nath Nérlund summability of Fourier series and its conjugate series. 
92a:42011 

Spreng, Karl-Eugen The set of almost convergent sequences as intersections of summability 
fields. 92b:40010 

Sulaiman, W. T. Multipliers for the g-|C, a|, summability of infinite series. 92a:40005 

— On |C, a, |, summability factors of Fourier series. 

Szynal, Jan see Olivier, Patrick; et al., 92b:40009 

Thangavelu, S. Summability of Laguerre expansions. (Russian summary) 92h:33021 

Tripathi, Virendra Kumar see Khare, Satya Prakash, 92b:42033 

Tripathy, B. K. (with Mohanty, D.) On some comparison and total comparison theorems in 
summability. 92m:40007 

Van Assche, Walter Orthogonal polynomials, associated polynomials and functions of the 
second kind. 92j:33024 

Zeller, K. see DeFranza, J., 92h:40002 


40G10 Abel, Borel and power series methods 


Khare, Satya Prakash see Singh, Amar Nath, 92f:40006 
Singh, Amar Nath (with Khare, Satya Prakash) Borel summability of Jacobi series. 
92£:40006 


Items with secondary classifications in 40G10 

Chen, Guang Yi (with Shen, Cheng Min) Extension of Abel’s first theorem to the hyperreal 
field R*. (Chinese. English summary) 

Ganapathy, M. K. Borel-type transform of Tauberian series. 92f:40004 

Kiesel, R. (with Stadtmiiller, U.) Tauberian theorems for general power series methods. 
92m:40008 

Kopper, Christoph The ’t Hooft reparametrization respects Borel summability. 92i:81189 

Moroz, Alexander Novel summability methods generalizing the Borel method. 92b:81038 

Rebenko, A. L. (with Reznichenko, P. V.) Borel summability of Brydges-Federbush-Mayer 
expansions for multiparticle potentials. (Russian. Ukrainian summary) 92i:82009 

Reznichenko, P. V. see Rebenko, A. L., 92i:82009 

Schlag, Wilhelm A note on complex Tauberian theorems. 92k:40006 

Shen, Cheng Min see Chen, Guang Yi; et al. 

Stadtmiiller, U. see Kiesel, R., 92m:40008 


40G99 None of the above, but in this section 
Sargil, M. Ali On absolute weighted mean summability methods. 92h:40008 


APPROXIMATIONS AND EXPANSIONS 


Sulaiman, W. T. On some summability factors of infinite series. 92i:40009 


Items with secondary classifications in 40G99 

Alexiewicz, A. (with Szmuksta-Zawadzka, M.) Two-norm spaces and summability. 
92m:46019 

Al-Madi, Azmi K. On translativity of absolute Rogosinski-Bernstein summability methods. 
92£:40005 

Okano, Hatsuo E.R. integral method of summation of series. I. 92e:26004 

Szmuksta-Zawadzka, M. see Alexiewicz, A., 92m:46019 

Tripathy, B. K. Some properties of (N, p,q) methods. 92f:40003 


40HOS Functional analytic methods in summability 


Basarir, Metin Paranormed Cesaro difference sequence space and related matrix transfor- 
mations. (Turkish summary) 92b:40014 


Items with secondary classifications in 40H05 

Balc1, M. On absolutely conservative matrices. 92i:47028 

Cakar, O. see Colak, R., 922:46008 

Colak, R. (with Cakar,O.) Banach limits and related matrix transformations. 92a:46008 

Khan, Mushir Ahmad Matrix transformations between some generalized sequence spaces. 
92k:40009 

Mursaleen Infinite matrices of the type M(E). 92m:40005 

Noll, Dominikus Strict singularity of inclusion operators between y-spaces and Meyer-Kénig 
Zeller type theorems. 92b:46025 

Rhoades, B. E. Corrections: “/?-norms of some generalized Hausdorff matrices” [Canad. 
Math. Bull. 32 (1989), no. 4, 500-504; MR 91c:47012]. 92g:47007 


40J05 Summability in abstract structures 
[see also 43A55, 46A35, 46B15] 


Khan, Mushir Ahmad Matrix transformations between some generalized sequence spaces. 
92k:40009 

Ozgelik, S. see Savas, Ekrem, 92i:40010 

Savas, Ekrem (with Ozqelik, S.) Fg-summability in certain linear topological spaces. 
92i:40010 

— o-summable sequences and matrix transformations. 92¢:40009 

Srinivasan, V. K. Steinhaus theorem in summability for p-adic fields. 92m:40013 


Items with secondary classifications in 40J05 

Beekmann, Wolfgang (with Chang, Shao-Chien) Sums of FK-spaces. 92b:46012 

Buntinas, Martin (with Tanovi¢-Miller, Naza) Strong boundedness and strong convergence 
in sequence spaces. 92m:46012 

Chang, Shao-Chien see Beekmann, Wolfgang, 92b:46012 

Ecalle, Jean P. Finitude des cycles-limites et accéléro-sommation de l’application de retour. 
[Finiteness of limit-cycles and accelero-summation of the return mapping] 92e:58166 

Li, Rong La (with Swartz, Charles) K-convergence and the Orlicz-Pettis theorem. 
92j:46013 

Natarajan, P. N. On the core of a sequence over valued fields. 92¢:46149 

Ralbovsky, Pavol On the sequences of bounded variation. (Russian and Slovak summaries) 
92¢:40003 

Swartz, Charles see Li, Rong Lu, 92j:46013 

Tagamlitski, Yaroslav A. A diagonal principle for generalized sequences and some of its 
applications. 92g:40002 

Tanovié-Miller, Naza see Buntinas, Martin, 92m:46012 

Zeng, Ya Shi Duals of nonabsolute vector-valued sequence spaces. (Chinese. English 
summary) 92m:46016 


41-XX Approximations and expansions {For 
all approximation theory in the complex 
domain, see 30E05 and 30E10; for 
all trigonometric approximation and 
interpolation, see 42A10 and 42A15; for 
numerical approximation, see 65Dxx. } 


41-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 41-00 


Brezinski, Claude * A bibliography on continued fractions, Padé approximation, sequence 
transformation and related subjects. 92j:00011 


41-01 Instructional exposition (textbooks, tutorial papers, etc.) 
Kaijser, Sten Interpolation and approximation theory. (Swedish. English summary) 
924:41001 


Marks, Robert J., II * Introduction to Shannon sampling and interpolation theory. 
92j:41001 





41-01 


Items with secondary classifications in 41-01 


Kosmol, Peter * Optimierung und Approximation. (German) [Optimization and approxi- 
mation] 92m:49001 


41-02 Research exposition (monographs, survey articles) 


Brezinski, Claude * Biorthogonality and its applications to numerical analysis. 92m:41001 

DeVore, Ronald A. Degree of nonlinear approximation. 92e:41021 

Dyn, Nira Interpolation and approximation by radial and related functions. 92d:41002 

(Ivanov, Kamen G.) see Korneichuk, N. P., 92m:41002 

Korneichuk, N. P. * Exact constants in approximation theory. 92m:41002 

Lorentz, Rudolph Alexander * Bivariate Birkhoff-Interpolation. (German) [Bivariate 
Birkhoff interpolation] 92f:41001 

Reimer, Manfred * Constructive theory of multivariate functions. 92m:41003 


Items with secondary classifications in 41-02 

(Brychkov, Yu. A.) see Olver, F. W. J., 92b:41050 

(Chui, Charles K.) see Approximation theory and functional analysis, 92g:41001 

Delvos, Franz-Jiirgen (with Schempp, Walter) * Boolean methods in interpolation and 
approximation. 92k:41003 

von Golitschek, Manfred Miintz polynomials and approximation with weights. 92d4:41014 

Olver, F. W. J. *& AcummrorTuka H chelHambHbie byxkuun. (Russian) [Asymptotics and 
special functions] 92b:41050 

(Prudnikov, A. P.) see Olver, F. W. J., 92b:41050 

Schempp, Walter see Delvos, Franz-Jiirgen, 92k:41003 

Szabados, J. (with Vértesi, Péter) * Interpolation of functions. 92j:41009 

Varga, Richard S. * Scientific computation on mathematical problems and conjectures. 
92b:65012 

Vértesi, Péter see Szabados, J., 92j:41009 


Items listed otherwise than by author 
Approximation theory and functional analysis * Approximation theory and functional 
analysis. 92g:41001 
College Station, TX * Approximation theory and functional analysis. 92g:41001 
Conference: 
Approximation Theory and Functional Analysis * Approximation theory and functional 
analysis. 92g:41001 


41-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 41-03 


(Collatz, Lothar) see Meinardus, Ginter; et al., 92g:01063 

Meinardus, Ginter (with Niirnberger, G.; RieBinger, Thomas; Walz, Guido) In memoriam: 
the work of Lothar Collatz in approximation theory. 92g:01063 

Niirnberger, G. see Meinardus, Giinter; et al., 92g:01063 

RieBinger, Thomas see Meinardus, Ginter; et al., 92g:01063 

Walz, Guido see Meinardus, Ginter; et al., 92g:01063 

Zayed, Ahmed I. On sampling theorems and the Gauss-Jacobi mechanical quadrature. 
92k:41012 


41-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Items with secondary classifications in 41-04 
Rall, Louis B. Tools for mathematical computation. 92a:65153 


41-06 Proceedings, conferences, collections, etc. 


(Carbone, Antonio) see Approximation theory, spline functions and applications, 92m:41004 

(Charron, R. J.) see Approximation theory, spline functions and applications, 92m:41004 

(Chui, Charles K.) see Approximation theory and functional analysis, 92g:41001 

(Nevai, Paul) see Progress in approximation theory, 92b:41002 

(Pinkus, Allan) see Progress in approximation theory, 92b:41002 

(Singh, Sankatha Prasad) see Approximation theory, spline functions and applications, 
92m:41004 

(Watson, Bruce B.) see Approximation theory, spline functions and applications, 92m:41004 


Items listed otherwise than by author 
Approximation theory and functional analysis * Approximation theory and functional 
analysis. 92g:41001 
Approximation theory, spline functions and applications * Approximation theory, spline 
functions and applications. 92m:41004 
Boulder, CO * Proceedings of the U.S.-Western Europe Regional Conference on Padé 
Approximants and Related Topics. 92b:41001 
College Station, TX * Approximation theory and functional analysis. 92g:41001 
Conference: 
Approximation Theory and Functional Analysis * Approximation theory and functional 
analysis. 92g:41001 
Padé Approximants and Related Topics * Proceedings of the U.S.-Western Europe 
Regional Conference on Padé Approximants and Related Topics. 92b:41001 
Maratea * Approximation theory, spline functions and applications. 92m:41004 
NATO Advanced Study Institute: 
Approximation Theory, Spline Functions and Applications * Approximation theory, 
spline functions and applications. 92m:41004 
Proceedings: 
Conference on Padé Approximants and Related Topics * Proceedings of the U.S.-Western 
Europe Regional Conference on Padé Approximants and Related Topics. 92b:41001 


APPROXIMATIONS AND EXPANSIONS 


1992 662 


Progress in approximation theory * Progress in approximation theory. 92b:41002 


41A05 Interpolation [see also 42A15 and 65D05] 


Agarwal, Ravi P. Better error estimates in polynomial interpolation. 92h:41001 

— Sharp Hermite interpolation error bounds for derivatives. 92m:41005 

— see also Wong, Patricia J. Y., 92j:41011 

Aljarrah, Radwan (with Al-Khaled, Kamel) Lagrange interpolation and entire functions. 
92m:41006 

Al-Khaled, Kamel see Aljarrah, Radwan, 92m:41006 

Andersson, Lars-Erik (with Elfving, Tommy) Interpolation and approximation by 
monotone cubic splines. 92k:41001 

Andersson, Mats (with Passare, Mikael) Complex Kergin interpolation. 92b:41003 

Balazs, Katherine (with Kilgore, Theodore) Simultaneous approximation of derivatives by 
interpolation. (see 91j:41001) 

— (with Jo6, Istvan) On speed of mean convergence of Lagrange and Hermite interpolation 
based on the roots of Laguerre polynomials. 92m:41007 

Ball, Joseph A. (with Cohen, Nir; Rodman, Leiba) Zero data and interpolation problems 
for rectangular matrix polynomials. 92i:41001 

Ball, Keith Eigenvalues of Euclidean distance matrices. 92k:41002 

Baszenski, Giinter (with Delvos, Franz-Jiirgen) Boolean algebra and multivariate 
interpolation. 92f:41003 

— (with Delvos, Franz-Jiirgen) Remainders for Boolean interpolation. 92f:41002 

Bellen, Alfredo Some open problems concerning mean convergence of extended Lagrange 
interpolation. (Italian. English summary) 92c:41001 

Benedek, Gyora M. see Roth, Ron M., 92h:41009 

Berman, D. L. A generalization of a theorem of R. B. Saxena and S. R. Misra. (Russian) 
92h:41002 

Bojani¢, Ranko (with Varma, A. K.; Vértesi, Péter) Necessary and sufficient conditions for 
uniform convergence of quasi-Hermite-Fejér and extended Hermite-Fejér interpolation. 
92j:41002 

Boyanov, Borislav D. On the total positivity of the truncated power kernel. 92b:41004 

Buhmann, Martin D. (with Micchelli, Charles A.) Multiply monotone functions for 
cardinal interpolation. 92g:41002 

Byrne, Graeme J. (with Mills, T. M.; Smith, Simon J.) On Lagrange interpolation with 
equidistant nodes. 92a:41001 

Carnicer, J. M. On best constrained interpolation. 92m:41008 

Cheney, Elliott Ward see Light, William A., 92c:41004 

Chu, Wen Chang Exponential-type rational interpolations and q-series inverse relations. 
92i:41002 

— Aclass of bivariate rational interpolations. (Chinese. English summary) 

Chui, Charles K. Construction and applications of interpolation formulas. 92¢:41002 

— (with Diamond, Harvey) A general framework for local interpolation. 92b:41005 

— (with Stéckler, Joachim; Ward, Joseph D.) A Faber series approach to cardinal 
interpolation. 92e:41001 

Cohen, Nir see Ball, Joseph A.; et al., 92i:41001 

Costantini, Paolo On some recent methods for bivariate shape-preserving interpolation. 
92h:41003 

Crouch, Peter E. (with Jackson, Joseph W.) A nonholonomic dynamic interpolation 
problem. 92j:41003 

Delvos, Franz-Jiirgen (with Schempp, Walter) * Boolean methods in interpolation and 
approximation. 92k:41003 

— (with Schempp, Walter) Interpolation projectors and closed ideals. 92¢:41003 

— Approximation by optimal periodic interpolation. (Czech summary) 92¢:41003 

— see also Baszenski, Ginter, 92f:41002 and 92f:41003 

De Meyer, Hans E. (with Vanthournout, J.; Vanden Berghe, Guido; Vanderbauwhede, 
André) On the error estimation for a mixed type of interpolation. 92¢:41002 

Demichelis, V. Interpolation by piecewise weighted mean functions. (Italian summary) 
92m:41009 

Deslauriers, Gilles (with Dubois, Jacques; Dubuc, Serge) Schéma itératif d’interpolation. 
(English summary) [Iterative interpolation scheme] (see 92g:42018) 

— (with Dubois, Jacques; Dubuc, Serge) Multidimensional iterative interpolation. 
92g:41003 

De Villiers, J. M. (with Rohwer, C.H.) A nodal spline generalization of the Lagrange 
interpolant. 92h:41004 

Diamond, Harvey see Chui, Charles K., 92b:41005 

Dubois, Jacques see Deslauriers, Gilles; et al., 92g:41003 and (92g:42018) 

Dubuc, Serge see Deslauriers, Gilles; et al., 92g:41003 and (92g:42018) 

Dyn, Nira (with Levin, David) Interpolating subdivision schemes for the generation of 
curves and surfaces. 92h:41005 

Elfving, Tommy see Andersson, Lars-Erik, 92k:41001 

El-Mikkawy, M. E. A. A note on the Lagrangian interpolation and the elementary 
symmetric polynomials. 92m:41010 

Gao, Jun Bin A remark on interpolation by bivariate splines. 92i:41003 

Gonska, Heinz H. (with Knoop, H.-B.) On Hermite-Fejér interpolation: a bibliography 
(1914-1987). 92d:41003 

Guo, Kang Hui (with Sun, Xingping) Scattered data interpolation by linear combinations of 
translates of conditionally positive definite functions. 92h:41006 

He, Jia Xing see Xu, Chun Ning; et al., 92j:41013 

Hermann, T. On Hermite-Fejér interpolation of higher order. 92m:41011 

Jackson, Joseph W. see Crouch, Peter E., 92j:41003 

Jia, Rong Qing (with Sharma, Ambikeshwar) Solvability of some multivariate interpolation 
problems. 92h:41007 

Jiang, Gong Jian Extremum values for the approximation of Lipschitz class functions 
by the second quasi Hermite-Féjer interpolation polynomials. (Chinese summary) 
92d:41004 

Jo6, Istvan (with Szabados, J.) On the weighted mean convergence of interpolating 
processes. 92j:41004 

— see also Balazs, Katherine, 92m:41007 





663 1992 


Kilgore, Theodore Optimal interpolation with exponentially weighted polynomials on an 
unbounded interval. 92k:41004 

— Best interpolation with polynomials lacking the linear term. 92d:41005 

— (with Prestin, Jiirgen) On the order of convergence of simultaneous approximation by 
Lagrange-Hermite interpolation. 92j:41005 

— see also Balazs, Katherine, (91j:41001) 

Klusch, Dieter The sampling theorem, Dirichlet series and Bessel functions. 92i:41004 

Knoop, H.-B. see Gonska, Heinz H., 924:41003 

Kobza, Jiti Quadratic splines interpolating derivatives. 

Lee, Seng Luan The use of homogeneous coordinates in spline functions and polynomial 
interpolation. 92¢:41004 

Lepschy, Antonio (with Mian, Gian Antonio; Viaro, Umberto) Hermite-type interpolation 
of squared-magnitude functions. 92b:41006 

Levin, David see Dyn, Nira, 92h:41005 

Li, Yu Cheng Two representations of a C' quintic interpolation over triangles. 92m:41012 

Li, Zhong Kai A note on convergent polynomials of interpolation. 92k:41005 

Liang, You Dong see Li, Wei; et al., 92m:41013 

Light, William A. (with Cheney, Elliott Ward) Interpolation by piecewise-linear radial basis 
functions. II. 92¢:41004 

Liu, Yong Ping On entire (0, 7, ---,m,)-interpolation on equidistant nodes. 92k:41006 

Lorentz, George G. (with Lorentz, Rudolph Alexander) Bivariate Hermite interpolation 
and applications to algebraic geometry. 92f:41004 

Lorentz, Rudolph Alexander A survey of bivariate Birkhoff interpolation. (see 92g:41001) 

— see also Lorentz, George G., 92f:41004 

Lia, Wei (with Wang, Guo Zhao; Liang, You Dong) On the representations of transfinite 
polynomial interpolants over the simplex. 92m:41013 

Mastroianni, Giuseppe (with Nevai, Paul) Mean convergence of derivatives of Lagrange 
interpolation. 92b:41007 

Maté, Attila (with Nevai, Paul) Necessary conditions for mean convergence of Hermite- 
Fejér interpolation. 92m:41014 

le Méhauté, Alain An efficient algorithm for C* simplicial finite element interpolation in 
R?. 92f:41005 

Mian, Gian Antonio see Lepschy, Antonio; et al., 92b:41006 

Micchelli, Charles A. (with Utreras, Florencio I.) Smoothing and interpolation in a convex 
subset of a Hilbert space. II. The semi-norm case. (French summary) 92g:41004 

— see also Buhmann, Martin D., 92g:41002 

Mills, T. M. (with Smith, Simon J.) Lagrange interpolation polynomials based on 
equidistant nodes. 92j:41006 

— (with Smith, Simon J.) On the Lebesgue function for Lagrange interpolation with 
equidistant nodes. 92k:41007 

— (with Smith, Simon J.) The Lebesgue constant for Lagrange interpolation on equidistant 
nodes. 92m:41015 

— see also Byrne, Graeme J.; et al., 92a:41001 

Min, Guo Hua On mean convergence of quasi-Hermite interpolation. 92j:41007 

— On approximation in the L,-norm by Hermite interpolation. 92k:41008 

Mo, Qi Wu (with Tu, Tian Liang) The Lebesgue function and estimation of the norm of 
the Hermite-Fejér interpolation operator on the unit circle. (Chinese. English summary) 
92i:41005 

Mihlbach, G. On interpolation by rational functions with prescribed poles with applica- 
tions to multivariate interpolation. 924:41006 

Muneer, Y. E. On the convergence of Hermite interpolation. (Serbo-Croatian summary) 
92k:41009 

Nevai, Paul see Mastroianni, Giuseppe, 92b:41007 and Maté, Attila, 92m:41014 

Olevskii, A.M. Some interpolation problems in real and harmonic analysis. 924:41007 

Osipenko, K. Yu. On the Lebesgue constants for interpolation of analytic functions. 
(Russian summary) 92f:41006 

Passare, Mikael see Andersson, Mats, 92b:41003 

Peters, Jorg Smooth interpolation of a mesh of curves. 92h:41008 

Prestin, Jiirgen (with Tasche, Manfred) Trigonometric interpolation for bivariate functions 
of bounded variation. 92d:41008 

— see also Kilgore, Theodore, 92j:41005 

Privalov, Andrei Andreevich Unsolved problems in interpolation theory. (Russian) (see 
92i:00028a) 

Rademacher, Christine (with Scherer, Karl) Best parameter interpolation in L,-norms. 
92c:41005 

Ramharter, Gerhard A remark on Hermite-Lagrange interpolation. 92f:41007 

Reimer, Manfred Nonproduct interpolation and approximation. 92j:41008 

Rodman, Leiba see Ball, Joseph A.; et al., 92i:41001 

Rohwer, C. H. see De Villiers, J. M., 92h:41004 

Roth, Ron M. (with Benedek, Gyora M.) Interpolation and approximation of sparse 
multivariate polynomials over GF(2). 92h:41009 

Rovba, E. A. Interpolational rational functions of Fejér-Bernstein type. (Russian) 

Runck, P.O. (with Vértesi, Péter) Some good point systems for derivative of Lagrange 
interpolatory operators. 92m:41016 

Saff, E. B. (with Shekhtman, Boris) Interpolatory properties of best L-approximants. 
92d:41009 

Sakai, Ryozi Hermite-Fejér interpolation prescribing higher order derivatives. 92m:41017 

Saxena, Anjula Interpolation by quartic splines. 92¢:41005 

— Birkhoff interpolation by quintic splines. 92k:41010 

Schempp, Walter see Delvos, Franz-Jirgen, 92e:41003 and 92k:41003 

Scherer, Karl see Rademacher, Christine, 92c:41005 

Schmidt, Jochen W. On shape preserving spline interpolation: existence theorems and 
determination of optimal splines. 92b:41008 

Schneider, Claus (with Werner, Wilhelm) Hermite interpolation: the barycentric approach. 
(German summary) 92b:41009 

Sharma, Ambikeshwar see Jia, Rong Qing, 92h:41007 

Shekhiman, Boris On polynomial “interpolation” in L;. 92d:41010 

— see also Saff, E. B., 92d:41009 

Shi, Ying Guang On critical order of Hermite-Fejér type interpolation. 92f:41008 

— On Problem XXIV of P. Turan. 92g:41005 


APPROXIMATIONS AND EXPANSIONS 


41A05 


— Convergence criteria for Hermite-Fejér interpolation. (Chinese summary) 92i:41006 

Smith, Simon J. see Byrne, Graeme J.; et al., 92a:41001; Mills, T. M., 92j:41006; 92k:41007 
and 92m:41015 

Sprague, Thomas Recent advances in shape preserving piecewise cubic interpolation. (see 
92h:68004) 

Stéckler, Joachim see Chui, Charles K.; et al., 92e:41001 

Suchomski, Piotr Method of optimal variable-knot spline interpolation in the L2 discrete 
norm. 92i:41007 

Sun, Xingping see Guo, Kang Hui, 92h:41006 

Szabados, J. (with Vértesi, Péter) * Interpolation of functions. 92j:41009 

— (with Varma, A. K.) On the derivatives of Hermite-Fejér interpolating polynomials. 
92¢e:41006 

— see also Jo6, Istvan, 92j:41004 

Tasche, Manfred see Prestin, Jiirgen, 92d:41008 

Tian, Ji Shan see Wang, Zi Yu; et al., 92h:41010 

Tikhomirov, N. B. Extreme values of Lebesgue constants of the interpolational Lagrange 
process. (Russian) (see 92i:00016) 

Trefethen, Lloyd N. (with Weideman, J. A.C.) Two results on polynomial interpolation in 
equally spaced points. 92e:41007 

Tu, Tian Liang see Mo, Qi Wu; et al., 92i:41005 

Utreras, Florencio I. (with Varas, M. Leonor) Monotone interpolation of scattered data in 
R°. 92f:41009 

— see also Micchelli, Charles A., 92g:41004 

Vanden Berghe, Guido see De Meyer, Hans E.; et al., 92e:41002 

Vanderbauwhede, André see De Meyer, Hans E.; et al., 92e:41002 

Vanthournout, J. see De Meyer, Hans E.; et al., 92e:41002 

Varas, M. Leonor see Utreras, Florencio I., 92f:41009 

Varma, A. K. see Szabados, J., 92e:41006 and Bojani¢, Ranko; et al., 92j:41002 

Vértesi, Péter Some recent results on interpolation. 92d:41011 

— Restricted Lebesgue function type sums. 92i:41008 

— Hermite and Hermite-Fejér interpolations of higher order. I]. Mean convergence. 
92m:41018 

— (with Xu, Yuan) Mean convergence of quasi Hermite-Fejér interpolation. 92j:41010 

— see also Bojanié, Ranko; et al., 92j:41002; Szabados, J., 92j:41009 and Runck, P. O., 
92m:41016 

Viaro, Umberto see Lepschy, Antonio; et al., 92b:41006 

Wang, Guo Zhao see Li, Wei; et al., 92m:41013 

Wang, Zi Yu (with Tian, Ji Shan) On the pointwise estimations of approximation of 
functions and their derivatives by Hermite interpolation polynomial. 92h:41010 

Ward, Joseph D. see Chui, Charles K.; et al., 92e:41001 

Weideman, J. A.C. see Trefethen, Lloyd N., 92e:41007 

Werner, Wilhelm see Schneider, Claus, 92b:41009 

Wong, Patricia J. Y. (with Agarwal, Ravi P.) Abel-Gontscharoff interpolation error bounds 
for derivatives. 92j:41011 

Wa, Zheng Chang Norm of the Bernstein left quasi-interpolant operator. 92k:41011 

Wu, Zong Min A convergence analysis for a class of radial basis interpolations. (Chinese. 
English summary) 92j:41012 

Xu, Chun Ning (with He, Jia Xing) The convergence order of x averages of Lagrange 
interpolation polynomials. (Chinese. English summary) 92j:41013 

Xu, Yuan On rational Hermite-Fejér type interpolation. 92f:41010 

— Convergence rate for Hermite-Fejér interpolation of higher order. 92m:41019a 

— Erratum: “Convergence rate for Hermite-Fejér interpolation of higher order”. 
92m:41019b 

— see also Vértesi, Péter, 92j:41010 

Zayed, Ahmed I. On sampling theorems and the Gauss-Jacobi mechanical quadrature. 
92k:41012 

Zhu, Guo Hua Degree of approximation of Hermite-Fejer interpolation based on the zeros 
of Legendre polynomial and its derivative. 92f:41011 

Zabov, V.I. Interpolation and approximation of probability distributions. (Russian) 
92m:41020 


Items with secondary classifications in 41A05 


Al-Zamel, A. (with Wolfe, J.M.) Best multipoint local L, approximation. 92a:41014 

Ammar, Gregory S. (with Dayawansa, W. P.; Martin, Clyde Franklin) System identification 
and exponential interpolation. 92¢:93032 

Anderson, Brian D. O. see Antoulas, A. C., 92g:93028 

Andersson, Mats (with Passare, Mikael) Complex Kergin interpolation and the Fantappié 
transform. 92j:32046 

Antoulas, A.C. (with Anderson, Brian D. O.) State-space and polynomial approaches to 
rational interpolation. 92g:93028 

Babenko, V. F. Widths and best quadrature formulas for classes of convolutions. (Russian. 
Ukrainian summary) 92m:41059 

Bai, Er Wei see Raman, Sundar, 92j:93024 

Bai, Hong see Sun, Yu Shan; et al., 924:65020 

Barry, Phillip J. (with Goldman, Ronald N.) Shape parameter deletion for Polya curves. 
92k:41016 

Bhattacharyya, Kamal see Sarkar, Biplab, 92i:40002 

Bhattacharyya, Prodipeswar (with Kala, V.) On lacunary interpolation by eighth degree 
splines: (0, 1;0, 2,3) case. 92f:41019 

de Boor, Carl (with Ron, Amos) Computational aspects of polynomial interpolation in 
several variables. 92i:65022 

Bresler, Yoram see Willis, N. Parker 

Briick, Rainer Summability of sequences of polynomial interpolants in the roots of unity. 
92k:30057 

Chen, Di Rong Optimal recovery and average n-k widths for some function classes in L(R). 
92m:41061 

Chen, Guan Rong see de Figueiredo, Rui J. P., 92c:46024 

Chen, Han Lin On n-widths of periodic functions. 92h:41052 

Chui, Charles K. (with Wang, Jian Zhong”) On compactly supported spline wavelets and a 
duality principle. 92f:41020 





41A05 


Cordellier, Florent On the use of Kronecker’s algorithm in the generalized rational 
interpolation problem. 92i:65023 

Dayawansa, W. P. see Ammar, Gregory S.; et al., 92c:93032 

Deslauriers, Gilles (with Dubuc, Serge) Erratum: “Symmetric iterative interpolation 
processes” [Constr. Approx. 5 (1989), no. 1, 49-68; MR 90c:65016). 92k:65014 

Dubuc, Serge see Deslauriers, Gilles, 92k:65014 

Dunham, Charles B. see Zhu, Chang Zhong; et al., 92d:41044 

Dyn, Nira Interpolation and approximation by radial and related functions. 92d:41002 

— (with Micchelli, Charles A.) Interpolation by sums of radial functions. 92a:65043 

Edgar, Gerald A. (with Sucheston, Louis) A note on weak inequalities in Orlicz and Lorentz 
spaces. (see 92g:41001) 

Farwig, Reinhard Rate of convergence of moving least squares interpolation methods: the 
univariate case. 924:65019 

Feng, Yu Yu see Hoschek, Josef; et al., 92f:65169 

de Figueiredo, Rui J. P. (with Chen, Guan Rong) Optimal interpolation on a generalized 
Fock space of analytic functions. 92¢:46024 

Foias, Ciprian (with Tannenbaum, Allen) On the singular values of the four-block operator 
and certain generalized interpolation problems. 924:47021 

Gasparo, M. G. (with Morandi, R.) Piecewise cubic monotone interpolation with assigned 
slopes. (German summary) 92h:65012 

Georgiev, R. Asymptotically fast Hermite interpolation. 92b:65016 

Goldman, Ronald N. see Barry, Phillip J., 92k:41016 

Gonzalez-Vera, Pablo (with Santos Leén, Juan C.; Pérez-Acosta, Francisco) Results on 
interpolation and approximation in the space of R-functions. (Spanish. English summary) 
(see 92b:00044) 

Goodman, T. N. T. (with Said, H. B.) A C' triangular interpolant suitable for scattered data 
interpolation. 92h:65023 

Grigor’ev, D. Yu. (with Karpifiski, Marek; Singer, Michael F.) Interpolation of sparse 
rational functions without knowing bounds on exponents. 92k:65015 

Gu, Chuan Qing see Zhu, Gong Qin, 92m:41045 

Hartmann, Erich see Hoschek, Josef; et al., 92f:65169 

Hirschhorn, Philip S. (with Raphael, Louise Arakelian) Coalgebraic foundations of the 
method of divided differences. 92m:05012 

Hoschek, Josef (with Hartmann, Erich; Li, Jing Gong; Feng, Yu Yu) G"~!-functional 
splines for interpolation and approximation of surfaces and solids. 92f:65169 

Huang, Kai Bin (with Li, Zhi Lin) Roundoff error analysis of algorithms for polynomial 
interpolation. (Chinese summary) 92c:65015 

Jetter, Kurt (with Riemenschneider, Sherman D.; Sivakumar, N.) Schoenberg’s exponential 
Euler spline curves. 92f:41021 

Jiang, Gong Jian On the approximation of continuous functions by Pal-type interpolation 
polynomials. 92a:41003 

Kala, V. see Bhattacharyya, Prodipeswar, 92f:41019 

Karpitiski, Marek see Grigor’ev, D. Yu.; et al., 92k:65015 

Katrakhova, A. A. Spline interpolation in weighted spaces. (Russian) 92b:41023 

Kida, Sésabur6 Relation between Padé-type approximation and polynomial interpolation in 
several variables. 92g:41024 

Korneichuk, N. P. On error estimates for interpolating splines with minimal defect. 
92b:41024 

— Behavior of derivatives of spline-interpolation error. (Russian. Ukrainian summary) 
92e:41010 

Lachance, Michael A. (with Schwartz, Arthur J.) Four-point parabolic interpolation. 
92a:65045 

Lee, Seng Luan (with Phillips, George M.) Construction of lattices for Lagrange interpola- 
tion in projective space. 92i:65025 

Lénard, Margit On an n-dimensional quadratic spline approximation. 92j:41022 

Lenze, Burkhard (with Locher, Franz) On ridge-type functions with elliptic contour lines. 
92:41025 

Lepschy, Antonio (with Mian, Gian Antonio; Viaro, Umberto) On rational interpolation 
with positivity constraints. 92g:65013 

Li, Jing Gong see Hoschek, Josef; et al., 92f:65169 

Li, Ping Qian The mixed method of complex variable boundary element with finite element 
for Riemann boundary value problem. (see 92a:00039) 

Li, Zhi Lin see Huang, Kai Bin; et al., 92c:65015 

Locher, Franz see Lenze, Burkhard, 92f:41025 

Lorentz, Rudolph Alexander * Bivariate Birkhoff-Interpolation. (German) [Bivariate 
Birkhoff interpolation] 92f:41001 

Magaril-Il'yaev, G.G. Average dimension, widths and optimal recovery of Sobolev classes 
of functions on a straight line. (Russian) 92k:41034 

Marks, Robert J., If * Introduction to Shannon sampling and interpolation theory. 
92j:41001 

Martin, Clyde Franklin see Ammar, Gregory S.; et al., 92c:93032 

Mian, Gian Antonio see Lepschy, Antonio; et al., 92g:65013 

Micchelli, Charles A. see Dyn, Nira, 92a:65043 

Morandi, R. see Gasparo, M. G., 92h:65012 

Narcowich, Francis J. (with Ward, Joseph D.) Norms of inverses and condition numbers 
for mairices associated with scattered data. 92b:65017 

Nashed, M. Zuhair (with Walter, Gilbert G.) General sampling theorems for functions in 
reproducing kernel Hilbert spaces. 92h:41063 

Novikov, S. I. On /-spline interpolation and approximation on the whole real line. 
92¢:41008 

Passare, Mikael see Andersson, Mats, 92j:32046 

Pérez-Acosta, Francisco see Gonzdlez-Vera, Pablo; et al., (92b:00044) 

Phillips, George M. see Lee, Seng Luan, 92i:65025 

Piedra, René On the differences of simultaneous rational interpolants. 92j:30036 

Prasad, Jagdish On the degree of approximation of the Hermite and Hermite-Fejér 
interpolation. 92k:41024 

— see also Varma, A. K., 92d:41041 

Raman, Sundar (with Bai, Er Wei) A linear, robust and convergent interpolatory algorithm 
for quantifying model uncertainties. 92j:93024 

Raphael, Louise Arakelian see Hirschhorn, Philip S., 92m:05012 


APPROXIMATIONS AND EXPANSIONS 


Riemenschneider, Sherman D. see Jetter, Kurt; et al., 92f:41021 

Ron, Amos see de Boor, Carl, 92i:65022 

Said, H. B. see Goodman, T. N. T., 92h:65023 

Santos Leén, Juan C. see Gonzalez-Vera, Pablo; et al., (92b:00044) 

Sarkar, Biplab (with Bhattacharyya, Kamal) Solution of convergence difficulties in the 
Madelung-sum problem: an extrapolation scheme for sawtooth sequences. 92i:40002 

Saxena, Anjula (0, 1,2,4) interpolation by G-splines. 92h:41026 

Schwartz, Arthur J. see Lachance, Michael A., 92a:65045 

Seip, Kristian Reproducing formulas and double orthogonality in Bargmann and Bergman 
spaces. 92¢:44006 

Shen, Xie Chang Order of approximation by Hermite-Fejér interpolating polynomials in the 
complex plane. 92a:30034 

— (with Tu, Tian Liang) Complex interpolatory approximation. (Chinese. English 
summary) 92i:30035 

Singer, Michael F. see Grigor’ev, D. Yu.; et al., 92k:65015 

Sivakumar, N. see Jetter, Kurt; et al., 92f:41021 

Sucheston, Louis see Edgar, Gerald A., (92g:41001) 

Sun, Yu Shan (with Bai, Hong) Interpolation formulas for intermediate quotients of 
discrete functions. (Chinese. English summary) 924:65020 

Tannenbaum, Allen see Foias, Ciprian, 92d:47021 

Temirgaliev, N. Application of the theory of divisors to the approximate reconstruction and 
integration of periodic functions in several variables. (Russian) 92a:42027 

Tishkin, E. V. Snake theorems for monosplines with multiple nodes. (Russian) 92m:41036 

(Trzeciak, Jerzy) see Korneichuk, N. P., 92b:41024 and Novikov, S. I., 92c:41008 

Tu, Tian Liang see Shen, Xie Chang; et al., 92i:30035 

Vakarchuk, S. B. On interpolation by bilinear splines. (Russian) 92a:41008 

Varma, A. K. (with Prasad, Jagdish) Rate of convergence for lacunary interpolation 
processes based on the roots of unity. 92d:41041 

Verde-Star, Luis Divided differences and combinatorial identities. 92i:65027 

Viaro, Umberto see Lepschy, Antonio; et al., 92g:65013 

Walter, Gilbert G. see Nashed, M. Zuhair, 92h:41063 

Wang, Chung-Lie see Wang, Shao Ming 

Wang, Jia Ye (with Zhang, Cai Ming) Polynomial of degree four interpolation on triangles. 
92m:65016 

Wang, Jian Zhong” see Chui, Charles K., 92f:41020 

Wang, Shao Ming (with Wang, Chung-Lie) Smooth interpolations on some triangulations. 

Ward, Joseph D. see Narcowich, Francis J., 92b:65017 

Willis, N. Parker (with Bresler, Yoram) Norm invariance of minimax interpolation. 

Wolfe, J. M. see Al-Zamel, A., 92a:41014 

Wood, Bruce Some properties of a spline projection. 92m:41039 

Zayed, Ahmed I. On Kramer’s sampling theorem associated with general Sturm-Liouville 
problems and Lagrange interpolation. 92b:34038 

Zhang, Cai Ming see Wang, Jia Ye, 92m:65016 

Zhu, Chang Zhong (with Dunham, Charles B.) Discrete one-sided nonlinear Lp approxima- 
tion. 92d:41044 

Zhu, Gong Qin (with Gu, Chuan Qing) Bivariate Thiele-type vector valued rational 
interpolants. 92m:41045 


41A10 Approximation by polynomials {For approximation by 
trigonometric polynomials, see 42A10.} 


Abdugapparov, A. A. (with Mukhamedov, M. A.) Order of approximation of functions in a 
HGlder class by polynomials. (Russian. Uzbek summary) 92c:41006 

Albrycht, Jerzy (with Marlewski, Adam) Bernstein approximation of a function whose 
derivatives satisfy the Lipschitz condition on bounded square or triangle. 92i:41009 

Aljarrah, Radwan (with Rababah, Abedallah) On the rate of convergence of Hermite-Fejér 
polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials. 
92d:41012 

Anastassiou, George A. Monotone approximation by pseudopolynomials. 92h:41011 

Aniol, G. (with Pych-Taberska, Paulina) On the rate of convergence of the Durrmeyer 
polynomials. 92m:41021 

Badalyan, G. V. (with Edigaryan, V.M.) Solution of a problem of Mendeleev type and 
estimation of the derivatives of polynomials in the Laguerre weighted space L?. (Russian) 
92k:41013 

Balazs, Katherine (with Kilgore, Theodore; Vértesi, Péter) Some remarks on Timan’s 
approximation theorem. (see 91j:41001) 

— (with Kilgore, Theodore; Vértesi, Péter) An interpolatory version of Timan’s theorem on 
simultaneous approximation. 92m:41022 

Ball, Joseph A. (with Fanney, Thomas R.) Uniform limits of sequences of polynomials and 
their derivatives. 92f:41012 

Benhabib, Kety Approximation de la fonction y(t) = (1 + t7)~'/?, p € N*, par une suite de 
polynémes. [Approximation of the function y(t) = (1 + 1*)~'/?, p € N*, by a polynomial 
sequence] 92j:41014 

Ber, M. G. (with Malozémov, V. N.; Pevnyi, A. B.) Approximation of a delta function by 
algebraic polynomials. (Russian. English summary) 92g:41006 

Berens, H. (with Xu, Yuan) On Bernstein-Durrmeyer polynomials with Jacobi weights. 
(see 92g:41001) 

Bernardi, Christine (with Maday, Yvon) Polynomial approximation of some singular 
functions. 92h:41012 

Beska, Marek Convexity and variation diminishing property for Bernstein polynomials in 
higher dimensions. 92f:41013 

Borwein, Peter B. Zeros of Chebyshev polynomials in Markov systems. 92a:41002 

— Variations on Miintz’s theme. 92i:41010 

de la Cal, Jestis see Luquin Martinez, Francisco, 92f:41015 

Cao, Fei Long see Xiong, Jing Yi; et al. 

Chang, Geng Zhe (with Chen, Fa Lai) A short proof of a converse theorem of convexity for 
Bernstein polynomials over simplices. (Chinese. English summary) 92f:41014 

Chen, Fa Lai see Chang, Geng Zhe; et al., 92f:41014 

Edigaryan, V.M. see Badalyan, G. V., 92k:41013 





665 1992 


Elliott, David (with Phillips, George M.) Improved error bounds for near-minimax 
approximations. 92d:41013 

— (with Taylor, Peter John') Polynomial approximation errors for functions of low-order 
continuity. 92j:41015 

Erdélyi, Tamas Estimates for the Lorentz degree of polynomials. 92m:41023 

Fanney, Thomas R. see Ball, Joseph A., 92f:41012 

Fedorov, V. M. Characterization of the smoothness of functions with a given order of 
approximation by polynomials on the real line. 92b:41010 

Fiedler, Heinz (with Jurkat, W.B.) Best L'-approximation by polynomials. II. 92b:41011 

Gal, S.G. Calculus of the modulus of continuity for nonconcave functions and applications. 
92k:41014 

— Approximation of continuous functions by monotone sequences of polynomials with 
integral coefficients. 92h:41013 

von Golitschek, Manfred Miintz polynomials and approximation with weights. 92d:41014 

Guessab, Allal A note on extremal problems for polynomials with nonnegative coefficients. 
(Serbo-Croatian summary) 92h:41014 

Inoue, Tetsuo A remark on zeros of weighted Chebyshev polynomials. 92g:41007 

— Acharacterization of weighted Chebyshev constant. 92k:41015 

Jain, Suresh see Pathak, Ashutosh, 92m:41025 

Jassim, S. K. On Bernstein polynomials for Riemann integrable functions. 92j:41016 

Jiang, Gong Jian On the approximation of continuous functions by Pal-type interpolation 
polynomials. 92a:41003 

— Approximation by type (0, 2) interpolation polynomials. (Chinese. English summary) 
92i:41011 

— see also Li, Zong Duo; et al. 

Jurkat, W. B. see Fiedler, Heinz, 92b:41011 

Khan, Rasul A. Some properties of a Bernstein-type operator of Bleimann, Butzer, and 
Hahn. 92h:41015 

Khvostov, A. P. Generalization of two theorems on the set of polynomials of best approxi- 
mation for some continuous functions of two variables. (Russian) (see 92d:35003) 

— Formulas that express polynomials of best approximation of fixed orders for some forms 
of functions of two variables. (Russian) (see 92d:28002) 

Kilgore, Theodore see Balazs, Katherine; et al., 92m:41022 and (91j:41001) 

Koosis, Paul Mesures orthogonales extrémales pour l’approximation pondérée par des 
polynémes. (English summary) [Extremal orthogonal for d polynomial 
approximation] 92d:41015 

Kostova, V. At. Approximation of bounded nonnegative functions by polynomials with 
positive coefficients in the Hausdorff metric. 92a:41004 

Krein, M. G. (with Levin, B. Ya.; Nudel/man, A. A.) On special representations of 
polynomials that are positive on a system of closed intervals, and some applications. 
92b:41012 

Lai, Ming Jun On dual functionals of polynomials in B-form. 92m:41024 

(Leifman, Lev J.) see Krein, M. G.; et al., 92b:41012 

(Leifman, Tatyana L.) see Krein, M. G.; et al., 92b:41012 

Levin, B. Ya. see Krein, M. G.; et al., 92b:41012 

Li, Luo Qing (with Yang, Ru Yue) Approximation of spherical Jackson polynomials. 
(Chinese. English summary) 92h:41016 

Li, Zong Duo (with Jiang, Gong Jian) A note on approximation of Kantorovich polynomi- 
als. (Chinese. English summary) 

Luquin Martinez, Francisco On the existence and uniqueness of best approximations by 
polynomials with integral coefficients. (Spanish) (see 92g:00024) 

— (with de la Cal, Jess) Use of Bernstein polynomials for approximation of partial 
derivatives of functions on a triangle. 92f:41015 

Maday, Yvon Résultats d’approximation optimaux pour les opérateurs d’interpolation 
polynomiale. (English summary) [Optimal approximation results for polynomial 
interpolation operators] 92d:41016 

— see also Bernardi, Christine, 92h:41012 

Malozémov, V. N. see Ber, M. G.; et al., 92¢:41006 

Marlewski, Adam see Albrycht, Jerzy, 92i1:41009 

Mikhalev, Drago I. Hausdorff approximation by reciprocals of polynomials. (Bulgarian. 
English summary) 92d:41017 

Mukhamedov, M. A. see Abdugapparov, A. A., 92c:41006 

Nessel, R. J. (with van Wickeren, E.) On counterexamples in multivariate approximation. 
92b:41013 

Nguyén Xuan Ky On imbedding th for weighted polynomial approximation and 
modulus of continuity of functions. 92f:41016 

Nudel‘man, A. A. see Krein, M. G.; et al., 92b:41012 

Pathak, Ashutosh (with Jain, Suresh) On the degree of approximation of a function by 
Nérlund means of its Fourier-Jacobi series. 92m:41025 

Peherstorfer, Franz On the connection of Posse’s L;- and Zolotarev’s maximum-norm 
problem. 92j:41017 

Petras, Knut On the minimal norms of polynomial projections. 92b:41014 

Petukhov, A. P. Dependence of the properties of the graph of a function on the rate of its 
various approximations. (Russian) 92j:41018 

Pevnyi, A. B. see Ber, M. G.; et al., 92g:41006 

Phillips, George M. see Elliott, David, 92d:41013 

Privalov, Al. A. Growth of powers of polynomial bases. (Russian) 92b:41015 

Pych-Taberska, Paulina see Aniol, G., 92m:41021 

Rababah, Abedallah see Aljarrah, Radwan, 92d:41012 

Schmid, Ulrich * Gewichtete Approximation durch Polynome auf der reellen Achse. 
(German) [Weighted approximation by polynomials on the real axis] 92b:41016 

Sendov, Blagovest Kh. (with Takev, Milko D.) A theorem of Whitney’s type in R?. 
92h:41017 

Shabozov, M. Sh. see Shabozov, O. Sh. 

Shabozov, O. Sh. (with Shabozov, M. Sh.) On a generalization of Bernstein polynomials. 
(Russian. Tajiki summary) 

Shevchuk, I. A. On the sharpness of an approximation criterion of smoothness for functions 
on a segment. 92b:41017 

Subbotin, Yu. N. Error of approximation by interpolation polynomials of small degrees on 
n-simplices. (Russian) 92b:41018 








APPROXIMATIONS AND EXPANSIONS 


41A10 


Szabados, J. (with Varma, A. K.) On mean convergence of derivatives of Lagrange 
interpolation. 92g:41008 

Takev, Milko D. see Sendov, Blagovest Kh., 92h:41017 

Taylor, Peter John! see Elliott, David, 92j:41015 

(Trzeciak, Jerzy) see Fedorov, V. M., 92b:41010 and Shevchuk, I. A., 92b:41017 

Varma, A. K. see Szabados, J., 92g:41008 

Vértesi, Péter see Balazs, Katherine; et al., 92m:41022 and (91j:41001) 

Wasilkowski, G. W. On piecewise-polynomial approximation of functions with a bounded 
fractional derivative in an L)-norm. 92f:41017 

van Wickeren, E. see Nessel, R. J., 92b:41013 

Wa, Xiang (with Zhou, Song Ping) A problem on coapproximation of functions by 
algebraic polynomials. 92m:41026 

Xiong, Jing Yi (with Cao, Fei Long) Pointwise approximation of the Euler means of 
Jackson-Matsuoka operators in BV, spaces. (Chinese. English summary) 

Xu, Yuan see Berens, H., (92g:41001) 

Yang, Ru Yue see Li, Luo Qing; et al., 92h:41016 

Zhou, Song Ping see Wu, Xiang, 92m:41026 


Items with secondary classifications in 41A10 

Agarwal, Ravi P. Better error estimates in polynomial interpolation. 92h:41001 

Agrawal, Purshottam Narain (with Gupta, Vijay) Simultaneous approximation by linear 
combination of modified Bernstein polynomials. 92d:41042 

Balazs, Katherine (with Jo6, Istvan) On speed of mean convergence of Lagrange and 
Hermite interpolation based on the roots of Laguerre polynomials. 92m:41007 

Barron, Andrew R. (with Sheu, Chyong-Hwa) Approximation of density functions by 
sequences of exponential families. 92m:62038a 

— (with Sheu, Chyong-Hwa) Correction: “Approximation of density functions by sequences 
of exponential families”. 92m:62038b 

Bauldry, William C. Estimates of asymmetric Freud polynomials on the real line. 92¢:33008 

Benedek, Gyora M. see Roth, Ron M., 92h:41009 

Bojani¢, Ranko (with Varma, A. K.; Vértesi, Péter) Necessary and sufficient conditions for 
uniform convergence of quasi-Hermite-Fejér and extended Hermite-Fejér interpolation. 
92j:41002 

Bonan, Stanford S. (with Clark, Dean S.) Estimates of the Hermite and the Freud 
polynomials. 92c:33007 

Brezinski, Claude * Biorthogonality and its applications to numerical analysis. 92m:41001 

Briick, Rainer Summability of sequences of polynomial interpolants in the roots of unity. 
92k:30057 

Byrne, Graeme J. (with Mills, T. M.; Smith, Simon J.) On Lagrange interpolation with 
equidistant nodes. 92a:41001 

Cao, Jia Ding Some remarks on the Groetsch-Shisha theorem. 92g:41030 

Chen, Ke Min (with Zhou, Song Ping) On a note of M. Hasson and O. Shisha: “On the 
condition °* , n?-' Es(f) < oo” [J. Approx. Theory 39 (1983), no. 4, 389-393; MR 
85a:42002]. 

Clark, Dean S. see Bonan, Stanford S., 92c:33007 

Dahmen, Wolfgang A basis for certain spaces of multivariate polynomials and exponentials. 
922:65042 

Detaille, C. see Thiran, J.-P., 92k:30059 

Farouki, Rida T. Computing with barycentric polynomials. 92i:65039 

Freund, Roland W. On Bernstein type inequalities and a weighted Chebyshev approxima- 
tion problem on ellipses. 92¢:30022 

Gupta, Vijay see Agrawal, Purshottam Narain, 924:41042 

(Hasson, Maurice) see Chen, Ke Min; et al. 

(Ivanov, Kamen G.) see Korneichuk, N. P., 92m:41002 

Ivovi¢é, Miodrag see Lazarevic, Ilija 

Jassim, S. K. Best onesided approximation with algebraic polynomials. 92c:41019 

Jo6, Istvan (with Szabados, J.) On the weighted mean convergence of interpolating 
processes. 92j:41004 

— see also Balazs, Katherine, 92m:41007 

Kilgore, Theodore Best interpolation with polynomials lacking the linear term. 92d:41005 

Korneichuk, N. P. * Exact constants in approximation theory. 92m:41002 

Kudryavtsev, L. D. On the estimation of a function of an infinite interval. (Russian) 
92g:26017 

Lachance, Michael A. Approximation by constrained parametric polynomials. 92g:65024 

Lazarevié, Ilija (with Ivovié, Miodrag) A mean value theorem for Fourier coefficients of an 
even function. 

Le, An Bo On the dimension of spaces of pp functions with boundary conditions. 
92a:65058 

Lepschy, Antonio (with Mian, Gian Antonio; Viaro, Umberto) Hermite-type interpolation 
of squared-magnitude functions. 92b:41006 

Lu, Xu Guang Convex approximation by multivariate polynomials. (Chinese. English 
summary) 92b:41039 

Lubinsky, D.S. The approximate approach to orthogonal polynomials for weights on 
(—00, 00). 92b:42030 

Marlewski, Adam Two-dimensional analogues of a certain Voronovskaja type theorem. 
92¢:41024 

Maté, Attila (with Nevai, Paul) Necessary conditions for mean convergence of Hermite- 
Fejér interpolation. 92m:41014 

McAfee, R. Preston (with Reny, Philip J.) A Stone-Weierstrass theorem without closure 
under suprema. 92¢:41033 

Mian, Gian Antonio see Lepschy, Antonio; et al., 92b:41006 

Mills, T. M. (with Smith, Simon J.) Lagrange interpolation polynomials based on 
equidistant nodes. 92j:41006 

— (with Smith, Simon J.) On the Lebesgue function for Lagrange interpolation with 
equidistant nodes. 92k:41007 

— see also Byrne, Graeme J.; et al., 92a:41001 

Min, Guo Hua On approximation in the L,-norm by Hermite interpolation. 92k:41008 

Nevai, Paul see Maté, Attila, 92m:41014 

Nikol’skii, S. M. Approximation of functions by polynomials on a manifold. (Russian) 





41A10 


Novikov, O. A. Approximation of classes of continuous periodic functions by Favard sums. 
(Russian) 92m:42003 

Osipenko, K. Yu. On the Lebesgue constants for interpolation of analytic functions. 
(Russian summary) 92f:41006 

Pan, K.C. (with Saff, E. B.) Some characterization theorems for measures associated with 
orthogonal polynomials on the unit circle. (see 92g:41001) 

Peherstorfer, Franz Orthogonal and Chebyshev polynomials on two intervals. 92i:41036 

Prestin, Jiirgen (with Tasche, Manfred) Trigonometric interpolation for bivariate functions 
of bounded variation. 924:41008 

Rakhmetov, N. K. On the uniqueness of a polynomial of best approximation in the classes 
g(L). (Russian) 92¢:41032 

Reny, Philip J. see McAfee, R. Preston, 92c:41033 

RieBinger, Thomas Overlapping approximation of the exponential function on the positive 
axis. 92j:41028 

Rivlin, Theodore J. * Chebyshev polynomials. 92a:41016 

Rodriguez, G. (with Seatzu, S.) Numerical solution of the finite moment problem in a 
reproducing kernel Hilbert space. 92a:44004 

Roth, Ron M. (with Benedek, Gyora M.) Interpolation and approximation of sparse 
multivariate polynomials over GF(2). 92h:41009 

Saff, E. B. see Pan, K. C., (92g:41001) 

Sakai, Ryozi Hermite-Fejér interpolation prescribing higher order derivatives. 92m:41017 

Seatzu, S. see Rodriguez, G., 922:44004 

Sheu, Chyong-Hwa see Barron, Andrew R., 92m:62038a and 92m:62038b 

(Shisha, Oved) see Chen, Ke Min; et al. 

Smith, Simon J. see Byrne, Graeme J.; et al., 92a:41001; Mills, T. M., 92j:41006 and 
92k:41007 

Szabados, J. (with Varma, A. K.) On the derivatives of Hermite-Fejér interpolating 
polynomials. 92¢:41006 

— see also Joé, Istvan, 92j:41004 

Tasche, Manfred see Prestin, Jiirgen, 92d:41008 

Thiran, J.-P. (with Detaille,C.) On two complex Zolotarev’s first problems. 92k:30059 

Trefethen, Lloyd N. (with Weideman, J. A.C.) Two results on polynomial interpolation in 
equally spaced points. 92e:41007 

Tu, Tian Liang The Bernstein type inequality and simultaneous approximation by 
interpolation polynomials in complex domain. 92m:30073 

Ugulava, D. K. see Zarnadze, D. N., 92m:41070 

Vakarchuk, S. B. Quasi-widths of classes of analytic functions of two complex variables. 
(Russian) 92m:32021 

Van Assche, Walter Orthogonal polynomials, associated polynomials and functions of the 
second kind. 92j:33024 

Varma, A. K. see Szabados, J., 92¢:41006 and Bojani¢, Ranko; et al., 92j:41002 

Vértesi, Péter Hermite and Hermite-Fejér interpolations of higher order. II. Mean 
convergence. 92m:41018 

— A note on approximation of certain functions. 92h:41039 

— see also Bojani¢, Ranko; et al., 92j:41002 

Viaro, Umberto see Lepschy, Antonio; et al., 92b:41006 

Weideman, J. A.C. see Trefethen, Lloyd N., 92e:41007 

Wa, Zheng Chang Norm of the Bernstein left quasi-interpolant operator. 92k:41011 

Zarnadze, D. N. (with Ugulava, D. K.) Best approximations of functions on open intervals. 
(Russian) 92m:41070 

Zhong, Le Fan Interpolation polynomial approximation in Bergman spaces. (Chinese) 
92j:30038 

Zhou, Ding Xuan Inverse theorems for some multidimensional operators. 92¢:41017 

Zhou, Song Ping see Chen, Ke Min; et al. 


41A15 Spline approximation 


Amodei, L. (with Benbourhim, M. N.) A vector spline approximation. 92i:41012 

Anderssen, R.S. (with de Hoog, F. R.; Wahlbin, Lars B.) On pointwise stability of cubic 
smoothing splines with nonuniform sampling points. (French summary) 92j:41019 

Babenko, V. F. (with Pichugov, S. A.) Bernstein-type inequalities for polynomial splines in 
the space L. (Russian. Ukrainian summary) 92¢:41008 

Barry, Phillip J. (with Dyn, Nira; Goldman, Ronald N.; Micchelli, Charles A.) Identities 
for piecewise polynomial spaces determined by connection matrices. 92h:41018 

— (with Goidman, Ronald N.; DeRose, Tony D.) B-splines, Pélya curves, and duality. 
92:41018 

— (with Goldman, Ronald N.) Shape parameter deletion for Pélya curves. 92k:41016 

Bazarkhanov, D. B. Approximation of Cauchy potentials of Borel measures by splines with 
free nodes. (Russian. English and Kazakh summaries) 92g:41009 

Behforooz, G. Approximation of Cauchy principal value integrals by piecewise Hermite 
quartic polynomials by spline. 

Benbourhim, M. N. see Amodei, L., 92i:41012 

Ber, M. G. Natural discrete splines and the averaging problem. (Russian. English summary) 
92i:41013 

Bezhaev, A. Yu. (with Rozhenko, A. I.) Variational splines in tensor products of spaces. 
92h:41019 

Bhattacharyya, Prodipeswar (with Kala, V.) On lacunary interpolation by eighth degree 
splines: (0, 1;0,2,3) case. 92f:41019 

Billera, Louis J. (with Haas, Ruth) The dimension and bases of divergence-free splines; a 
homological approach. 92m:41027 

— (with Rose, Lauren L.) A dimension series for multivariate splines. 92g:41010 

de Boor, Carl (with Dyn, Nira; Ron, Amos) On two polynomial spaces associated with a 
box spline. 924:41018 

Brudnyi, Yu. A. Adaptive approximation of functions with singularities. 92g:41011 

Carlson, B.C. B-splines, hypergeometric functions, and Dirichlet averages. 92h:41020 

Chen, Yuan see Wang, Jian Zhong”, 92m:41037 

Chui, Charles K. * Multivariate splines. 92¢:41009 

— (with Wang, Jian Zhong”) A cardinal spline approach to wavelets. 92b:41019 

— (with Wang, Jian Zhong?) On compactly supported spline wavelets and a duality 
principle. 92f:41020 


APPROXIMATIONS AND EXPANSIONS 


1992 666 


Dahmen, Wolfgang (with Jia, Rong Qing; Micchelli, Charles A.) On linear dependence 
relations for integer translates of compactly supported distributions. 92j:41020 

Davydov, O. V. Conditions for the uniqueness of a spline of best approximation, and the 
best linear method for the class H®. (Russian) 92g:41012 

DeRose, Tony D. see Barry, Phillip J.; et al., 92f:41018 

(Diamond, Harvey) see Chui, Charles K., 92e:41009 

Dikshit, H. P. (with Ojha, Aparajila) Dimensions of multivariate spline spaces. 92c:41007 

Dronov, S.G. Spline schemes of increased accuracy for a boundary value problem. 
(Russian) 92g:41013 

Dubeau, Francois Uniform partition and the best least-squares piecewise polynomial 
approximation. 92h:41021 

Dyn, Nira (with Ron, Amos) Cardinal translation invariant Tchebycheffian B-splines. 
92d:41019 

— (with Yad-Shalom, Itai) Optimal distribution of knots for tensor-product spline 
approximation. 92h:41022 

— see also de Boor, Carl; et al., 92d:41018 and Barry, Phillip J.; et al., 92h:41018 

Fischer, Bernd (with Opfer, Gerhard; Puri, Madan L.) A local algorithm for constructing 
nonnegative cubic splines. 92b:41020 

Fa, Kai Xin (with Guan, Li) The structure of univariate vertex splines. (Chinese. English 
summary) 92i:41014 

Gao, Xie Ping Asymptotic expansion of quartic Hermite-Birkhoff interpolation cardinal 
splines. (Chinese. English summary) 

Gol‘dman, Mikhail Abramovich A remark on splines in Hilbert spaces. (Russian. English and 
Latvian summaries) 92m:41028 

Goldman, Ronald N. see Barry, Phillip J.; et al., 92f:41018; 92h:41018 and 92k:41016 

Goodman, T. N. T. Inflections on curves in two and three dimensions. 92d:41020 

— Closed surfaces defined from biquadratic splines. 92m:41029 

— (with Lee, Seng Luan) Homogeneous polynomial splines. 92i:41015 

Guan, Li see Fu, Kai Xin; et al., 921:41014 

Haas, Ruth Module and vector space bases for spline spaces. 92b:41021 

— see also Billera, Louis J., 92m:41027 

Han, Wei Min see Jou, Emery D., 92a:41006 

de Hoog, F.R. see Anderssen, R. S.; et al., 92j:41019 

Hu, Yingkang Convexity preserving approximation by free knot splines. 92m:41030 

Huang, Da Ren (with Wang, Xiang) On monosplines with odd multiplicity knots. (Chinese. 
English summary) 92j:41021 

Ibrahim, Adel Kh. (with Schumaker, Larry L.) Super spline spaces of smoothness r and 
degree d > 3r +2. 92k:41017 

Ignatov, M. 1. (with Pevnyi, A. B.) * Harypanbubie cnmafHbl MHOTHX NepeMeHHBIX. 
(Russian) [Natural splines of several variables] 92h:41023 

Jetter, Kurt (with Riemenschneider, Sherman D.; Sivakumar, N.) Schoenberg’s exponential 
Euler spline curves. 92f:41021 

Jia, Rong Qing Translation-invariant subspaces and dual bases for box splines. (Chinese) 
92b:41022 

— see also Riemenschneider, Sherman D.; et al., 92g:41015; Lei, Junjiang, 92i:41016 and 
Dahmen, Wolfgang; et al., 92j:41020 

Johnson, Diane L. On generalized polynomial monosplines of minimal uniform norm. 
92a:41005 

Jou, Emery D. (with Han, Wei Min) Minimal-energy splines. I. Plane curves with angle 
constraints. 92a:41006 

Kala, V. see Bhattacharyya, Prodipeswar, 92f:41019 

Katrakhova, A. A. Spline interpolation in weighted spaces. (Russian) 92b:41023 

Klimenko, V.T. Two-dimensional Hermite splines on a curvilinear grid. (Russian) 
92g:41014 

Kobza, Jiti (with Zapalka, DuSan) Natural and smoothing quadratic spline (an elementary 
approach). (Czech summary) 924:41021 

Korneichuk, N. P. On error estimates for interpolating splines with minimal defect. 
92b:41024 

— Behavior of derivatives of spline-interpolation error. (Russian. Ukrainian summary) 
92¢e:41010 

— On obtaining sharp estimates for the derivative of the error of spline interpolation. 
(Russian. Ukrainian summary) 

Kounchev, Ognyan Iv. Basic properties of polysplines. 92m:41031 

Krebs, Friedhelm The dimension of the space of periodic splines on the regular hexagonal 
lattice. 92m:41032 

Kudryavtsev, S. N. Approximations of compact sets of functions by piecewise-polynomial 
surfaces in spaces of smooth functions. (Russian) 92m:41033 

Lee, Seng Luan see Goodman, T. N. T., 92i:41015 

Lei, Junjiang (with Jia, Rong Qing) Approximation by piecewise exponentials. 92i:41016 

Lénard, Margit On an n-dimensional quadratic spline approximation. 92j:41022 

Li, Chun? Some extremal problems for cardinal -splines. (Chinese) 92b:41025 

Litvin, O. N. Two-dimensional interlination on an orthogonal system of lines with 
preservation of the class C¥(Q). (Russian. English summary) 92m:41034 

Liu, Huan Wen The algebraic structure of the space S} (A?)) of doubly periodic spline 
functions. (Chinese. English summary) 92a:41007 

Liu, Yong Ping see Sun, Yong Sheng; et al., 92f:41022 

Madych, W. R. Polyharmonic splines, multiscale analysis and entire functions. 92i:41017 

Manni, Carla On the dimension of bivariate spline spaces over rectilinear partitions. 
92d:41022 

Matveev, E.R. One-sided approximation of a power function by splines. (Russian) (see 
92m:46002) 

McCartin, Brian J. Theory of exponential splines. 92h:41024 

Micchelli, Charles A. see Barry, Phillip J.; et al., 92h:41018 and Dahmen, Wolfgang; et al., 
92j:41020 

Merken, Knut Some identities for products and degree raising of splines. 92d:41023 

ter Morsche, Hennie On the exponential eigen-splines: type-2 triangulation. 92i:41018 

Mulansky, Bernd Chebyshev approximation by spline functions with free knots. 
92m:41035 

Nakonechnaya, T. V. Approximation by local cubic splines on classes of functions defined 
by a modulus of continuity. (Russian) 92j:41023 





667 1992 


Neamtu, M. (with Traas, Cornelis) On computational aspects of simplicial splines. 
92b:41026 

Novikov, S. I. On -spline interpolation and approximation on the whole real line. 
92c:41008 

Ojha, Aparajila see Dikshit, H. P., 92c:41007 

Opfer, Gerhard see Fischer, Bernd; et al., 92b:41020 

Pevnyi, A. B. see Ignatov, M. I., 92h:41023 

Pfeifer, E. Interpolation with exponentially fitted second-order C'-spline functions. 
92¢:41009 

Pichugov, S. A. see Babenko, V. F., 92e:41008 

Postolica, Vasile Spline approximation of countable additive set functions of bounded 2- 
variation. (see 92m:00032) 

Puri, Madan L. see Fischer, Bernd; et al., 92b:41020 

Richards, F. B. A Gibbs phenomenon for spline functions. 92h:41025 

Riemenschneider, Sherman D. (with Jia, Rong Qing; Shen, Zuowei) Multivariate splines 
and dimensions of kernels of linear operators. 92g:41015 

— (with Shen, Zuowei) Box splines, cardinal series, and wavelets. (see 92g:41001) 

— see also Setter, Kurt; et al., 92f:41021 

Ron, Amos On the convolution of a box spline with a compactly supported distribution: the 
exponential-poly ials in the linear span. 92g:41016 

— Acharacterization of the approximation order of multivariate spline spaces. 92g:41017 

— see also de Boor, Carl; et al., 92d:41018 and Dyn, Nira, 92d:41019 

Rose, Lauren L. see Billera, Louis J., 92g:41010 

Rozhenko, A.I. see Bezhaev, A. Yu., 92h:41019 

Sakai, Manabu (with Togashi, Akira) On hyperbolic and trigonometric B-splines on equally 
spaced knots. 92d:41024 

Saxena, Anjula (0, 1,2, 4) interpolation by G-splines. 92h:41026 

Schumaker, Larry L. see Ibrahim, Adel Kh., 92k:41017 

Seidel, Hans-Peter Symmetric recursive algorithms for surfaces: B-patches and the de Boor 
algorithm for polynomials over triangles. 92¢:41010 

Sha, Zhen An identity for s} (A2)). (Chinese. English summary) 924:41025 

Shadrin, A. Yu. Kolmogorov-type inequalities, and estimates for spline-interpolation for 
periodic classes W.”. (Russian) 92b:41027 

Shen, Zuowei see Riemenschneider, Sherman D.; et al., 92g:41015 and (92g:41001) 

Shi, Xi Quan? The dimensions of spline spaces and their singularity. 

Shrivastava, M. Cubic interpolatory spline matching the areas. 92k:41018 

Shumeiko, A. A. Choice of nodes for interpolation by parabolic splines. (Russian) 
92c:41011 

Sivakumar, N. Concerning the linear dependence of integer translates of exponential box 
splines. 92h:41027 

— see also Jetter, Kurt; et al., 92f:41021 

Skrzypczak, Leszek Remark on spline unconditional bases in H'(D). 92c:41012 

Stéckler, Joachim Minimal properties of periodic box-spline interpolation on a three 
direction mesh. (see 90j:41001) 

Sun, Yong Sheng (with Liu, Yong Ping) Best one-sided approximation of some classes of 
smooth functions on the whole real axis by cardinal splines of higher order. 92f:41022 

Thomas-Agnan, Christine Spline functions and stochastic filtering. 92h:41028 

Tishkin, E. V. Snake theorems for monosplines with multiple nodes. (Russian) 92m:41036 

Togashi, Akira see Sakai, Manabu, 92d:41024 

Traas, Cornelis see Neamtu, M., 92b:41026 

(Trzeciak, Jerzy) see Korneichuk, N. P., 92b:41024 and Novikov, S. 1., 92c:41008 

Utreras, Florencio I. Recent results on multivariate smoothing splines. 92j:41024 

Vakarchuk, S. B. On interpolation by bilinear splines. (Russian) 92a:41008 

Verlan, I. 1. Synthesis of positive curves by generalized cubic splines. (Russian) 92b:41028 

Wahlbin, Lars B. see Anderssen, R. S.; et al., 92j:41019 

Walz, Guido * Spline-Funktionen im Komplexen. (German) [Spline functions in the 
complex domain] 92i:41019 

Wang, Jian Zhong? (with Chen, Yuan) A remark on minimal support for bivariate splines. 
92m:41037 

— see also Chui, Charles K., 92b:41019 and 92f:41020 

Wang, Xiang see Huang, Da Ren; et al., 92j:41021 

Whiteley, Walter The combinatorics of bivariate splines. 92m:41038 

Wood, Bruce Some properties of a spline projection. 92m:41039 

Wronicz, Zygmunt Chebyshevian splines. 92h:41029 

Xiong, Zhen Xiang Error analysis of interpolating splines of degree 2n — 1. (Chinese. 
English summary) 92m:41040 

Yad-Shalom, Itai see Dyn, Nira, 92h:41022 

Zalesskii, B. A. Splines of several variables. (Russian. English summary) 92h:41030 

Zépalka, Dugan see Kobza, Jifi, 92d:41021 

Zheludev, V. A. Letter to the editor: “Local spline-approximation on arbitrary grids” [Izv. 
Vyssh. Uchebn. Zaved. Mat. 1987, no. 8, 14-18; MR 89k:41016]. (Russian) 924:41026 

Zhensykbaev, A. A. The fundamental theorem of algebra for monosplines with multiple 
nodes. 92d:41027 

Zvyagintsev, A.I. An extremal problem on the norm of an intermediate derivative. 
(Russian) 92¢:41013 


Items with secondary classifications in 41A15 

Aldroubi, Akram see Unser, Michael; et al. 

Alfeld, Peter (with Sirvent, Maritza) The structure of multivariate superspline spaces of 
high degree. 92m:65017 

Andersson, Lars-Erik (with Elfving, Tommy) Interpolation and approximation by 
monotone cubic splines. 92k:41001 

Asano, Chooichiro see Li, Wei; et al., 92j:65010 

Asmuss, S. Spline functions of two variables in the solution of some interpolation problems. 
(Russian. English summary) 92g:65016 

Boyanov, Borislavy D. On the total positivity of the truncated power kernel. 92b:41004 

Chambolle, Antonin Un théoréme de I’-convergence pour la segmentation des signaux. 
(English summary) [A I'-convergence theorem for signal segmentation] 92k:49015 

Chen, Guan Rong see de Figueiredo, Rui J. P., 92c:46024 

Chui, Charles K. An overview of wavelets. (see 92g:41001) 





APPROXIMATIONS AND EXPANSIONS 


41A15 


— (with Diamond, Harvey) A general framework for local interpolation. 92b:41005 

Ciesielski, Z. Asymptotic nonparametric spline density estimation in several variables. 
92i:62067 

Davydov, O. V. Best uniform approximation of periodic functions by splines. (Russian) 
92m:41063 

Delvos, Franz-Jiirgen (with Schempp, Walter) * Boolean methods in interpolation and 
approximation. 92k:41003 

De Villiers, J. M. (with Rohwer, C. H.) A nodal spline generalization of the Lagrange 
interpolant. 92h:41004 

Diamond, Harvey see Chui, Charles K., 92b:41005 

Dikshit, H. P. Certain interpolating quasiconformal piecewise defined complex mappings in 
the plane. 92a:30017 

Eden, Murray see Unser, Michael; et al. 

Elfving, Tommy see Andersson, Lars-Erik, 92k:41001 

Fang, Gen Sun see Huang, Da Ren; et al., 92e:41024 

Fang, Kui Closed (C?-continuous) Bézier curves with given tangent polygons. 92m:65034 

Farin, Gerald Splines in CAD/CAM. 92i:65029 

Feng, Yu Yu see Hoschek, Josef; et al., 92f:65169 

Fernandez Cordero, Angel see Garcia Vallejo, Francisco, (92b:00044) 

de Figueiredo, Rui J. P. (with Chen, Guan Rong) Optimal interpolation on a generalized 
Fock space of analytic functions. 92¢:46024 

Gao, Jun Bin A remark on interpolation by bivariate splines. 92i:41003 

Garcia Vallejo, Francisco (with Fernandez Cordero, Angel) Applications of B-spline vectors 
to interpolation and design of contours. (Spanish) (see 92b:00044) 

Gonska, Heinz H. Degree of simultaneous approximation of bivariate functions by Gordon 
operators. 92b:41038 

Gregory, John A. see Qu, Rui Bin, (92m:41004) 

Han, Guo Qiang Correct solution of finite difference and spline approximation for a class of 
singular two-point boundary value problems. 92m:34037 

— see also Huang, You Qian; et al., 92i:65031 

Hartmann, Erich see Hoschek, Josef; et al., 92f:65169 

Hong, Dong Spaces of bivariate spline functions over triangulation. 92f:65016 

Hoschek, Josef Approximate conversion of spline curves. (see 92d:00033) 

— (with Hartmann, Erich; Li, Jing Gong; Feng, Yu Yu) G"~'-functional splines for 
interpolation and approximation of surfaces and solids. 92f:65169 

Howell, G. W. (with Varma, A. K.) (0,2) interpolation with quartic splines. 92c:65016 

Huang, Da Ren (with Fang, Gen Sun) Uniqueness of optimal quadrature formulas for W." 
and the fundamental theorem of algebra for periodic monosplines. 92¢:41024 

Huang, You Qian (with Han, Guo Qiang) Construction of spline functions in Hilbert 
spaces. (Chinese. English summary) 92i:65031 

Ikebe, Yasuhiko see Kamada, Masaru; et al., 92g:65012 

(Ivanov, Kamen G.) see Korneichuk, N. P., 92m:41002 

Kaliev, P.U. An algorithm for obtaining exact constants in error estimates for spline 
approximation of odd degree on a uniform grid. (Russian) 92a:65048 

Kallay, Michael General B-spline Hermite interpolation. 92a:65044 

Kamada, Masaru (with Toraichi, Kazuo; Ikebe, Yasuhiko) A note on error estimation for 
spline interpolation method with sampling bases. 92g:65012 

Karpouzas, Ioanis Algorithms for the approximation of corneal contour and radius of 
curvature. 92h:65026 

Karpus, E. Splines for one-sided derivatives that take into account local means. (Russian. 
English and Latvian summaries) 92g:65017 

Kobza, Jiti Some properties of interpolating quadratic spline. (Russian and Czech 
summaries) 92m:65019 

— Quadratic splines interpolating derivatives. 

Korneichuk, N. P. * Exact constants in approximation theory. 92m:41002 

Kulkarni, Rekha (with Laurent, Pierre-Jean) Q-splines. 92i:65032 

Lai, Ming Jun Fortran subroutines for B-nets of box splines on three- and four-directional 
meshes. 

Laurent, Pierre-Jean Inf-convolution splines. 92h:65015 

— see also Kulkarni, Rekha, 92i:65032 

Lee, Seng Luan The use of homogeneous coordinates in spline functions and polynomial 
interpolation. 92e:41004 

Li, Jing Gong see Hoschek, Josef; et al., 92f:65169 

Li, Wei (with Li, Xian Ping; Asano, Chooichiro) A polynomial algorithm on computing 
LAD spline. 92j:65010 

Li, Xian Ping see Li, Wei; et al., 92j:65010 

Liu, Jin Hua On interpolation with the S} (Ao) spaces. (Chinese. English summary) 

Liu, Ke Jian Strong consistency of the periodic smoothing splines. 92h:62059 

Lorente, J. see Ramirez, V., 92d:65025 

Makhotkin, O. A. (with Pirimkulov, M. I.) The use of splines in some statistical modeling 
problems. (Russian) (see 92g:65003) 

Meek, D.S. (with Walton, D. J.) Clothoid spline transition spirals. 92k:65018 

Nachman, Louis J. A note on control polygons and derivatives. 92g:65018 

Nguyén Thi Thiéu Hoa The trigonometric Taylor formula, a trigonometric analogue of 
Sobolev classes, and trigonometric splines. (Russian) 

Norton, Andrew H. Local spline approximants. 92h:65016 

Ovchinnikova, T. E. Sharp error estimates for approximation of local approximation by 
cubic splines. A formula that is exact on first-degree polynomials. (Russian) 92¢:65015 

Papamichael, N. (with Soares, Maria Joana) An O(A®) cubic spline interpolating procedure 
for harmonic functions. 92i:65033 

Pirimkulov, M.1. see Makhotkin, O. A., (92g:65003) 

Qu, Rui Bin (with Gregory, John A.) A subdivision algorithm for nonuniform B-splines. 
(see 92m:41004) 

Ramirez, V. (with Lorente, J.) Convexity of rational quadratic splines. (Spanish) 
924:65025 

Rana, S. S. Local behaviour of the first difference of a discrete cubic spline interpolator. 
92e:65011 

Reztsov, A. V. Parallelepiped cubature formulas and perfect splines. (Russian) 92a:65081 

Rohwer, C. H. see De Villiers, J. M., 92h:41004 

Saxena, Anjula Interpolation by quartic splines. 92¢:41005 





41A15 


— Birkhoff interpolation by quintic splines. 92k:41010 

Schempp, Walter see Delvos, Franz-Jiirgen, 92k:41003 

Schmidt, Jochen W. On shape preserving spline interpolation: existence theorems and 
determination of optimal splines. 92b:41008 

— Convex interval interpolation with cubic splines. II. 92m:65021 

— Rational biquadratic C!-splines in S-convex interpolation. (German summary) 92j:65011 

Schumaker, Larry L. Recent progress on multivariate splines. (see 92d:65007) 

Sirvent, Maritza see Alfeld, Peter, 92m:65017 

Soares, Maria Joana see Papamichael, N., 92i:65033 

Spath, Helmuth * Zweidimensionale Spline-Interpolations-Algorithmen. (German) [Two- 
dimensional spline interpolation algorithms] 92j:65013 

Suchomski, Piotr Method of optimal variable-knot spline interpolation in the L2 discrete 
norm. 92i:41007 

Sun, Jia Chang The B-net structure and recurrence algorithms for B-splines in three 
directions. 92i:65034 

Toraichi, Kazuo see Kamada, Masaru; et al., 92g:65012 

Unser, Michael (with Aldroubi, Akram; Eden, Murray) Polynomial spline signal approxi- 
mations: filter design and asymptotic equivalence with Shannon’s sampling theorem. 

Utreras, Florencio I. (with Varas, M. Leonor) Monotone interpolation of scattered data in 
R°. 92f:41009 

Varas, M. Leonor see Utreras, Florencio I., 92f:41009 

Varma, A. K. see Howell, G. W., 92c:65016 

Walton, D. J. see Meek, D. S., 92k:65018 

Walz, Guido Interpolation mit quadratischen Splines auf Jordan-Kurven. [Interpolation 
with quadratic splines on Jordan curves] 92h:30077 

Wang, Jia Ye see Ye, Zheng Lin; et al., 92k:65024 

Wronicz, Zygmunt On equivalence of spline bases in L, spaces. (Russian summary) 
92b:46034 

— Systems conjugate to biorthogonal spline systems. (Russian summary) 92¢:42027 

Ye, Zheng Lin (with Wang, Jia Ye) The location of singular and inflection points for planar 
cubic B-spline curve. 92k:65024 

Zalesskii, B. A. A description of splines of several variables. Smoothing of surfaces. 
(Russian. English summary) 92m:65023 

Zheludev, V. A. An operational calculus that is connected with periodic splines. (Russian) 
92b:44008 


41A17 Inequalities in approximation (Bernstein, Jackson, 
' Nikol’skii type inequalities) 

Doronin, V.G. (with Ligun, A. A.) Sharpening Jackson-type inequalities for one-sided 
approximations. (Russian) 92g:41018 

Erdélyi, Tamas Bernstein and Markov type inequalities for generalized nonnegative 
polynomials. 92g:41019 

Fischer, Bernd see Freund, Roland W., 92d:41028 

Freund, Roland W. (with Fischer, Bernd) New Bernstein type inequalities for polynomials 
on ellipses. 92d:41028 

von Golitschek, Manfred Short proofs for the inequalities of Szeg6, Markov and Zygmund. 
92j:41025 

Govil, N. K. Some inequalities for derivatives of polynomials. 92h:41031 

Ha Huy Bang (with Morimoto, Mitsuo) On the Bernstein-Nikolsky inequality. 92g:41020 

IY , N. A. On the inequality between moduli of smoothness of various orders in 
different metrics. (Russian) 92m:41041 

Kudaibergenov, S.S. A theorem of Jackson type for the Haar system in the case of various 
metrics. (Russian. Kazakh summary) 92b:41029 

Levin, A. L. (with Lubinsky, D.S.) L.. Markov and Bernstein inequalities for Freud 
weights. 92a:41009 

Ligun, A. A. see Doronin, V. G., 92g:41018 

Lim, Teck Cheong On some L? inequalities in best approximation theory. 92d:41029 

Labinsky, D.S. (with Mthembu, T. Z.) L, Markov-Bernstein inequalities for Erdés 
weights. 924:41030 

— see also Levin, A. L., 92a:41009 

Marinkovi¢, Lidija Z. see Milovanovi¢, Gradimir V., 92h:41032 

Mhaskar, H. N. General Markov-Bernstein and Nikol'skii type inequalities. 92d:41031 

Milovanovi¢, Gradimir V. (with Marinkovi¢, Lidija Z.) Extremal problems for coefficients 
of algebraic polynomials. (Serbo-Croatian summary) 92h:41032 

Morimoto, Mitsuo see Ha Huy Bang, 92g:41020 

Mthembu, T. Z. see Lubinsky, D. S., 92d:41030 

Totik, Vilmos Derivatives of entire functions of higher order. 92¢:41014 

Varma, A. K. On some extremal properties of algebraic polynomials. 92m:41042 

Xu, Yuan On the Marcinkiewicz-Zygmund inequality. 92k:41019 

Yudin, A. A. (with Yudin, V. A.) Jackson theorems in L2. (Russian) 92h:41033 

Yudin, V. A. see Yudin, A. A., 92h:41033 

Zhou, Song Ping Some remarks on Turan’s inequality. 92m:41043 

Zvyagintsev, A.I. An extremal problem connected with a priori estimates for the solutions 
of differential inequalities. (Russian. English and Latvian summaries) 92h:41034 


Items with secondary classifications in 41A17 

Anastassiou, George A. (with Cottin, Claudia; Gonska, Heinz H.) Global smoothness of 
approximating functions. 92h:41047 

Aparicio Bernardo, Emiliano Generalization of a theorem of Fekete to the case of general- 
ized complex polynomials. (Russian. English and Lithuanian summaries) 92f:11089 

Babenko, V. F. (with Pichugov, S. A.) Bernstein-type inequalities for polynomial splines in 
the space L>. (Russian. Ukrainian summary) 92e:41008 

Cottin, Claudia see Anastassiou, George A.; et al., 92h:41047 

Davydov,O.V. Accuracy of the Jackson inequality for individual functions. (Russian. 
Ukrainian summary) 92c:42001 

Erdélyi, Tamas Markov and Bernstein type inequalities for certain classes of constrained 
trigonometric polynomials on an interval shorter than the period. 92k:42002 

Firlej, Barbara A Bernstein-Steckin inequality in Marcinkiewicz-Orlicz spaces. 92¢:46029 

Gonska, Heinz H. see Anastassiou, George A.; et al., 92h:41047 


APPROXIMATIONS AND EXPANSIONS 


1992 668 


Ilyasov, N. A. Approximations of periodic functions by Fejér-Zygmund means in various 
metrics. (Russian) 92j:42003 

Kallioniemi, Henry The Landau problem on compact intervals and optimal numerical 
differentiation. 92¢:65021 

Moskona, E.S. (with Petrushev, P. P.) Uniform rational approximation of functions with 
first derivative in the real Hardy space Re H'. 92a:41010 

Petrushev, P. P. see Moskona, E. S., 92a:41010 

Pichugov, S. A. see Babenko, V. F., 92e:41008 

Plesniak, Wieslaw Applications of Markov’s inequality in differential analysis. (Polish) 
92f:26043 

Shadrin, A. Yu. Kolmogorov-type inequalities, and estimates for spline-interpolation for 
periodic classes W.”. (Russian) 92b:41027 

Taberski, Roman Exponential approximation on the real line. 92e:41011 

Zhou, Song Ping On the relative behaviour of moduli of smoothness. 92c:26002 


41A20 Approximation by rational functions 


Baker, George A., Jr. see Martin, Pablo, 92d:41033 

de Bruin, Marcel G. Some aspects of simultaneous rational approximation. 92b:41030 

Bultheel, Adhemar see Van Barel, Marc, 92b:41034 

Della Vecchia, B. (with Mastroianni, Giuseppe) Pointwise simultaneous approximation by 
rational operators. 92j:41026 

Dolzhenko, E. P. (with Makhmudov, Kh. M.) On rational approximations of functions of 
complex variable integrable over plane domains. (Russian summary) 92b:41031 

Glover, Keith (with Lam, James; Partington, Jonathan R.) Rational approximation of a 
class of infinite-dimensional systems: the L2 case. 92h:41035 

Gonzalez-Vera, Pablo (with Santos Leon, Juan C.; Pérez-Acosta, Francisco) Results on 
interpolation and approximation in the space of R-functions. (Spanish. English summary) 
(see 92b:00044) 

Gutknecht, Martin H. The rational interpolation problem revisited. 92j:41027 

Ivanov, Kamen G. (with Saff, E. B.; Totik, Vilmos) On the behavior of zeros of polynomials 
of best and near-best approximation. 92k:41020 

Lam, James see Glover, Keith; et al., 92h:41035 

Lau, T.C. see Lawson, John Douglas; et al., 92g:41021 

Lawson, John Douglas (with Lau, T. C.; Taylor,G. D.) Existence of Hermite interpolatory 
end point constrained rational approximation. 92g:41021 

Leng, Wen Hao Modified rational L, approximation. (Chinese. English summary) 
92b:41032 

Ma, Zhi Wei? (with Shi, Ying Guang) A variation of rational L; approximation. 
92d:41032 

Makhmudov, Kh. M. On a property of rational approximations of summable functions. 
(Russian) (see 92i:00016) 

— see also Dolzhenko, E. P., 92b:41031 

Martin, Pablo (with Baker, George A., Jr.) Two-point quasifractional approximant in 
physics. Truncation error. 92d:41033 

Mastroianni, Giuseppe see Della Vecchia, B., 92j:41026 

Moskona, E.S. (with Petrushev, P. P.) Uniform rational approximation of functions with 
first derivative in the real Hardy space Re H'. 92a:41010 

Partington, Jonathan R. see Glover, Keith; et al., 92h:41035 

Pérez-Acosta, Francisco see Gonzdlez-Vera, Pablo; et al., (92b:00044) 

Petrushev, P. P. see Moskona, E. S., 92a:41010 

Reddy, A. R. On the size of the coefficients of rational functions approximating powers. II. 
92b:41033 

Ruttan, Arden see Varga, Richard S., (92g:41001) 

Saff, E. B. see Ivanov, Kamen G.; et al., 92k:41020 

Santos Leon, Juan C. see Gonzalez-Vera, Pablo; et al., (92b:00044) 

Shi, Ying Guang see Ma, Zhi Wei”, 92d:41032 

Taylor, G. D. see Lawson, John Douglas; et al., 92g:41021 

Totik, Vilmos see Ivanov, Kamen G.; et al., 92k:41020 

Van Barel, Marc (with Bultheel, Adhemar) A new approach to the rational interpolation 
problem: the vector case. 92b:41034 

Varga, Richard S. (with Ruttan, Arden) Real vs. complex best rational approximation. (see 
92g:41001) 

Wulbert, Daniel E. The rational approximation of circuit design. 92i:41020 

Yarakhmedov, G. Ya. Chebyshev approximation by generalized rational fractions in a space 
of N-bounded real-valued functions. (Russian) 


Items with secondary classifications in 41A20 

Beckermann, Bernhard The structure of the singular solution table of the M-Padé approxi- 
mation problem. 92b:65013 

Belykh, V.M. A problem on the design of a band-pass electrical filter. (Russian. English 
summary) 92e:94003 

Brookes, R. G. (with McInnes, Allan W.) The existence and local behaviour of the 
quadratic function approximation. 92a:41012 

de Bruin, Marcel G. Some aspects of generalized T-fractions. 92h:41040 

Canonne, Jean-Charles (with Fiorot, Jean-Charles) Des conditions suffisantes de raccorde- 
ment C* de surfaces rationnelles mises sous forme (SBR) triangulaire. (English summary) 
[Sufficient conditions for C* continuity between triangular rational surfaces] 92g:65022 

Carpenter, Amos J. see Varga, Richard S.; et al., 92i:65040 

Chu, Wen Chang Exponential-type rational interpolations and g-series inverse relations. 
92i:41002 

Cordellier, Florent On the use of Kronecker’s algorithm in the generalized rational 
interpolation problem. 92i:65023 

Cuenya, Héctor see Marano, Miguel, 92i:41022 

Cuyt, Annie A multivariate convergence theorem of the “de Montessus de Ballore” type. 
92b:65015 

— (with Jones, William B.; Verdonk, Brigitte) Model reduction and stability of two- 
dimensional recursive systems. 92f:93109 

Danchenko, V.I. Rational components of meromorphic functions and their derivatives. 
(Russian. English summary) 92i:30028 





669 1992 


Della Vecchia, B. (with Mastroianni, Giuseppe; Totik, Vilmos) Saturation of the Shepard 
operators. 92e:41020 

DeVore, Ronald A. (with Leviatan, D.; Yu, Xiang Ming) L, approximation by reciprocals 
of trigonometric and algebraic polynomials. 92b:41035 

Farin, Gerald Splines in CAD/CAM. 92i:65029 

Fiorot, Jean-Charles see Canonne, Jean-Charles, 92g:65022 

Gonzalez-Vera, Pablo (with Njastad, Olav) Szegé functions and multipoint Padé approxi- 
mation. 92b:30044 

Goodman, T. N. T. (with Said, H. B.) A C! triangular interpolant suitable for scattered data 
interpolation. 92h:65023 

Graves-Morris, P. R. Extrapolation methods for vector sequences. 92m:65010 

Gutknecht, Martin H. In what sense is the rational interpolation problem well posed? 
92e:30021 

Jones, William B. see Cuyt, Annie; et al., 92f:93109 

Khusanov, Z. Kh. A criterion for fast rational approximation. (Russian) 

Koshizuka, Takeshi (with Kurita, Osamu) Approximate formulas of average distances 
associated with regions and their applications to location problems. 92g:90090 

Kurita, Osamu see Koshizuka, Takeshi, 

Leviatan, D. see DeVore, Ronald A.; et al., 92b:41035 

Levin, A. L. (with Lubinsky, D. S.) Rows and diagonals of the Walsh array for entire 
functions with smooth Maclaurin series coefficients. 92¢:30044 

Litvinov, G. L. Approximate construction of rational approximations and the effect of 
automatic error correction. (Russian) 92a:65059 

Lorente, J. see Ramirez, V., 92d:65025 

Labinsky, D.S. Distribution of poles of diagonal rational approximants to functions of fast 
rational approximability. 92h:30075 

— see also Levin, A. L., 92¢:30044 

Makhmudov, Kh. M. Functions for which the least deviations from polynomials and 
rational functions are close. (Russian) 92m:30072 

Marano, Miguel (with Cuenya, Héctor) Multipoint Padé approximants and rational 
functions of best L? approximation on small intervals. 92i:41022 

Mastroianni, Giuseppe see Della Vecchia, B.; et al., 92e:41020 

McInnes, Allan W. see Brookes, R. G., 92a:41012 

Mihibach, G. On interpolation by rational functions with prescribed poles with applica- 
tions to multivariate interpolation. 924:41006 

Njastad, Olav see Gonzdlez-Vera, Pablo, 92b:30044 

Orel, Bojan Real pole approximations to the exponential function. 924:65040 

Petukhov, A. P. Dependence of the properties of the graph of a function on the rate of its 
various approximations. (Russian) 92j:41018 

Piper, Bruce see Roulier, John; et al., (92g:41001) 

Ramirez, V. (with Lorente, J.) Convexity of rational quadratic splines. (Spanish) 
924:65025 

Rando, Thomas see Roulier, John; et al., (92g:41001) 

Roulier, Joha (with Rando, Thomas; Piper, Bruce) Fairness and monotone curvature. (see 
92g:41001) 

Rusak, V. N. Exact orders of best rational approximations of a convolution of the Weyl 
kernel, and functions from L,. (Russian) 

Ruttan, Arden see Varga, Richard S.; et al., 92i:65040 

Said, H. B. see Goodman, T. N. T., 92h:65023 

Schneider, Claus (with Werner, Wilhelm) Hermite interpolation: the barycentric approach. 
(German summary) 92b:41009 

Totik, Vilmos see Della Vecchia, B.; et al., 92e:41020 

Varga, Richard S. (with Ruttan, Arden; Carpenter, Amos J.) Numerical results on the best 
uniform rational approximations of the function |x| on the interval [—1, 1]. (Russian) 
92i:65040 

Verdonk, Brigitte see Cuyt, Annie; et al., 92f:93109 

Wang, James Li Ming Approximation by rational modules in L’? and BMO. 92j:30037 

Werner, Wilhelm see Schneider, Claus, 92b:41009 

Xu, Yuan On rational Hermite-Fejér type interpolation. 92f:41010 

Yu, Xiang Ming see DeVore, Ronald A.; et al., 92b:41035 


41A21 Padé approximation 


Achuthan, P. (with Ponnuswamy, S.) On general two-point continued fraction expansions 
and Padé tables. 92a:41011 

Baker, George A., Jr. (with Graves-Morris, P. R.) Convergence theorems for rows of 
Hermite-Padé integral approximants. 92h:41036 

— Some numerical results on the convergence of integral approximants. 92m:41044 

Betancor Ortiz, Juan D. see Gonzalez-Vera, Pablo; et al., (92b:00044) and Orive Rodriguez, 
Ramon A.; et al., (92b:00044) 

Brookes, R. G. The local behavior of the quadratic Hermite-Padé approximation. (see 
924:00025) 

— (with McInnes, Allan W.) The existence and local behaviour of the quadratic function 
approximation. 92a:41012 

Bultheel, Adhemar (with Van Barel, Marc) A matrix Euclidean algorithm and the matrix 
minimal Padé approximation problem. 92g:41022 

— see also Van Barel, Marc, 92k:41023 

Cuenya, Héctor see Marano, Miguel, 92i:41022 

Gilewicz, Jacek (with Magnus, Alphonse P.) Sharp inequalities for the Padé approximant 
errors in the Stieltjes case. 92d:41034 

Golub, A. P. Generalized moment representations and Padé-Chebyshev approximations. 
(Russian. Ukrainian summary) 92i:41021 

Gonzalez-Vera, Pablo (with Orive Rodriguez, Ram6n A.; Jiménez Paiz, Mateo M.; Betancor 
Ortiz, Juan D.) Some aspects of the optimization of two-point Padé approximants. 
(Spanish. English summary) (see 92b:00044) 

— (with Njastad, Olav) Convergence of two-point Padé approximants to series of Stieltjes. 
92k:41021 

— see also Orive Rodriguez, Ramén A.; et al., (92b:00044) 

Graves-Morris, P. R. (with Saff, E. B.) Divergence of vector-valued rational interpolants to 
meromorphic functions. 92g:41023 


APPROXIMATIONS AND EXPANSIONS 


— see also Baker, George A., Jr., 92h:41036 

Gu, Chuan Qing see Zhu, Gong Qin, 92m:41045 

Jiménez Paiz, Mateo M. see Gonzalez-Vera, Pablo; et al., (92b:00044) and Orive Rodriguez, 
Ramon A.; et al., (92b:00044) 

Karlberg, Lennart (with Wallin, Hans) Padé type approximants and orthogonal polynomi- 
als for Markov-Stieltjes functions. 92d:41035 

— (with Wallin, Hans) Padé-type approximants for functions of Markov-Stieltjes type. 
92d:41036 

Kida, Sésabur6 Relation between Padé-type approximation and polynomial interpolation in 
several variables. 92g:41024 

— Padé-type and Padé approximants in several variables. 92h:41037 

Li, Jia Liang Existence and convergence of Padé approximants of any order for sign power 
series with coefficients +1. (Chinese. English summary) 92k:41022 

Magnus, Alphonse P. see Gilewicz, Jacek, 924:41034 

Marano, Miguel (with Cuenya, Héctor) Multipoint Padé approximants and rational 
functions of best L? approximation on small intervals. 92i:41022 

McInnes, Allan W. see Brookes, R. G., 92a:41012 

Njastad, Olav see Gonzalez-Vera, Pablo, 92k:41021 

Orive Rodriguez, Ramén A. (with Gonzalez-Vera, Pablo; Jiménez Paiz, Mateo M.; Betancor 
Ortiz, Juan D.) Two-point bivariate Padé approximants. (Spanish. English summary) 
(see 92b:00044) 

— see also Gonzalez-Vera, Pablo; et al., (92b:00044) 

Ponnuswamy, S. see Achuthan, P., 92a:41011 

Saff, E. B. see Graves-Morris, P. R., 92g:41023 

Sorokin, V.N. Convergence of simultaneous Padé approximants to two dilogarithms. 
(Russian summary) 92¢:41015 

— Simultaneous Padé approximations of functions of Stieltjes type. (Russian) 92f:41023 

Van Barel, Mare (with Bultheel, Adhemar) The computation of nonperfect Padé-Hermite 
approximants. 92k:41023 

— see also Bultheel, Adhemar, 92g:41022 

Wallin, Hans see Karlberg, Lennart, 92d:41035 and 924:41036 

Zhu, Gong Qin (with Gu, Chuan Qing) Bivariate Thiele-type vector valued rational 
interpolants. 92m:41045 


Items with secondary classifications in 41A21 

Achuthan, P. (with Narasimhan, R.; Rangarajan, R.) On KdV solitons and Padé approxi- 
mants. 92k:35233 

Agarwal, Girdhar G. Splines in statistics. 92j:62044 

Baker, George A., Jr. see Martin, Pablo, 92d:41033 

Beckermann, Bernhard The structure of the singular solution table of the M-Padé approxi- 
mation problem. 92b:65013 

Belantari, A. Error estimate in vector Padé approximation. 92i:65038 

(Boas, Ralph P.) see Nikishin, E. M., 92i:30037 

Brezinski, Claude * History of continued fractions and Padé approximants. 92c:01002 

de Bruin, Marcel G. Some aspects of generalized T-fractions. 92h:41040 

Bultheel, Adhemar (with Van Barel, Marc) Minimal vector Padé approximation. 
92a:65057 

— see also Van Barel, Marc, 924:65021 

Cabay, Stan see Meleshko, Ron, 92f:65025 

Casasitis Latorre, Luis (with Gonzalez-Vera, Pablo; Pérez-Acosta, Francisco) Orthogonal 
functions, Padé approximation and quadrature formulas. (Spanish) 92f:42026 

— see also Orive Rodriguez, Ramén A.; et al., 92k:30058 

Cuyt, Annie A multivariate convergence theorem of the “de Montessus de Ballore” type. 
92b:65015 

Daras, Nicholas J. The convergence of Padé-type approximants to holomorphic functions 
of several complex variables. 92i:32010 

Driver, K. A. (with Lubinsky, D. S.) Convergence of Padé approximants for a q- 
hypergeometric series (Wynn’s power series I). 92g:30036 

Gat, G. (with Rosenstein, B.) A method for calculating binding energies at weak coupling. 
92a:81109 

Golub, A. P. A property of Padé approximations of hypergeometric functions. (Russian) 
92:30056 

Gonchar, A. A. (with Novikova, N. N.; Khenkin, G. M.) Multipoint Padé approximants in 
an inverse Sturm-Liouville problem. (Russian) 92j:34030 

Gonzalez Concepcién, C. (with Guirao-Pérez, G.) Rational Padé representation of the 
normal distribution function and its application in the computation of Tobit models. 
(Spanish. English summary) 

Gonzalez-Vera, Pablo (with Njastad, Olav) Szegé functions and multipoint Padé approxi- 
mation. 92b:30044 

— see also Casastis Latorre, Luis; et al., 92f:42026; Orive Rodriguez, Ramon A.; et al., 
92k:30058 and Pérez Martin, Francisco, (92b:00044) 

Graves-Morris, P. R. Extrapolation methods for vector sequences. 92m:65010 

Guirao-Pérez, G. see Gonzalez Concepcién, C. 

Gutknecht, Martin H. The rational interpolation problem revisited. 92j:41027 

Jédar, Lucas (with Legua Fernandez, Matilde) Numerical solution of coupled systems of 
partial differential equations. (Spanish. English summary) 92g:65104 

Kaminski, Michael (with Sidi, Avram) Solution of an integer programming problem related 
to convergence of rows of Padé approximants. 92h:90089 

Khenkin, G. M. see Gonchar, A. A.; et al., 92j:34030 

Kumar, Kuldeep Padé approximation and its application in time ceries analysis. 

Le ba Kkhan’ Chin’ Inverse theorems for multipoint Padé approximants. (Russian) 
92£:30057 

Legua Fernandez, Matilde see Jédar, Lucas, 92g:65104 

Litvinov, G. L. Approximate construction of rational approximations and the effect of 
automatic error correction. (Russian) 92a:65059 

Lubinsky, D.S. Distribution of poles of diagonal rational approximants to functions of fast 
rational approximability. 92h:30075 

— see also Driver, K. A., 92g:30036 

Martin, Pablo (with Baker, George A., Jr.) Two-point quasifractional approximant in 
physics. Truncation error. 92d:41033 





41A21 


Matos, Ana C. Some new acceleration methods for periodic-linearly convergent power 
series. 92i:30003 

McInnes, Allan W. Computation of the collocating quadratic Hermite-Padé approximation. 
(see 924:00025) 

— Existence and uniqueness of algebraic function approximations. 92m:41052 

Meleshko, Ron (with Cabay, Stan) On computing Padé approximants quickly and 
accurately. 92f:65025 

Narasimhan, R. see Achuthan, P.; et al., 92k:35233 

Nikishin, E.M. (with Sorokin, V. N.) * Rational approximations and orthogonality. 
92i:30037 

Njastad, Olav (with Waadeland, Haakon) Strongly bounded holomorphic functions and 
corresponding PC-fractions. 92a:30004 

— see also Gonzalez-Vera, Pablo, 92b:30044 

Novikova, N. N. see Gonchar, A. A.; et al., 92j:34030 

Orive Rodriguez, Ramén A. (with Gonzalez-Vera, Pablo; Casasts Latorre, Luis) Choosing 
denominators in Padé approximation. (Spanish. English summary) 92k:30058 

Pérez-Acosta, Francisco see Casastis Latorre, Luis; et al., 92f:42026 

Pérez Martin, Francisco (with Gonzalez-Vera, Pablo) Algorithms for computing two-point 
Padé approximants. (Spanish. English summary) (see 92b:00044) 

Piedra, René On the differences of simultaneous rational interpolants. 92j:30036 

Rangarajan, R. see Achuthan, P.; et al., 92k:35233 

Rosenstein, B. see Gat, G., 92a:81109 

Shiokawa, I. (with Tamura, Jun-ichi) Padé approximations to certain power series. 
92a:30005 

Sidi, Avram Quantitative and constructive aspects of the generalized Koenig’s and de 
Montessus’s theorems for Padé approximants. 92g:30037 

— see also Kaminski, Michael, 92h:90089 

Sorokin, V. N. Simultaneous two-point Padé approximants of Markov functions. (Russian. 
Ukrainian summary) 92h:30076 

— see also Nikishin, E. M., 92i:30037 

Tamura, Jun-ichi see Shiokawa, I., 92a:30005 

Van Barel, Marc (with Bultheel, Adhemar) A new approach to the rational interpolation 
problem. 924:65021 

— see also Bultheel, Adhemar, 92a:65057 

Waadeland, Haakon see Njastad, Olav, 92a:30004 

Wimp, Jet Pollaczek polynomials and Padé approximants: some closed-form expressions. 
92:33016 

Xu, Guo Liang Multivariate Padé approximation and its application in solving systems of 
nonlinear equations. 92i:65096 

Zampieri, Sandro Recursive partial realization for 2-D data arrays. 92f:93031 


41A25 Rate of convergence, degree of approximation 


Agrawal, Purshottam Narain see Gupta, Vijay, 92h:41038 

Beyer, W. A. (with Ebanks, Bruce R.; Qualls, C. R.) Convergence rates and convergence- 
order profiles for sequences. 92i:41023 

Brezinski, Claude The asymptotic behavior of sequences and new series transformations 
based on the Cauchy product. 92d:41037 

DeVore, Ronald A. (with Leviatan, D.; Yu, Xiang Ming) L, approximation by reciprocals 
of trigonometric and algebraic polynomials. 92b:41035 

Dhariyal, I. D. see Rathore, R. K. S.; et al., 92d:41039 

Ebanks, Bruce R. see Beyer, W. A.; et al., 92i:41023 

von Golitschek, Manfred Miintz-Jackson theorems in Lp(0,1), 1<p <2. 92m:41046 

Gupta, Rajendra Prasad (with Varma, Sushama K.) On degree of approximations by matrix 
operators of Jacobi series. 92i:41024 

Gupta, Vijay (with Agrawal, Purshottam Narain) An estimate of the rate of convergence for 
modified Sz4sz-Mirakyan operators of function of bounded variation. 92h:41038 

(Hasson, Maurice) see Zhou, Song Ping, 92m:41049 

Khan, Mohammad Kazim Approximation properties of beta operators. 92m:41047 

Lenze, Burkhard A hyperbolic modulus of smoothness for multivariate functions of 
bounded variation. 92g:41025 

Leviatan, D. see DeVore, Ronald A.; et al., 92b:41035 

Li, Luo Qing see Xu, Ji Hua; et al., 92c:41016 

Munshi, P. see Rathore, R. K. S.; et al., 92d:41039 

Popov, Vasil A. Nonlinear multivariate approximation. 92b:41036 

Powell, M. J. D. Univariate multiquadric approximation: reproduction of linear polynomi- 
als. 92g:41026 

Prasad, Jagdish On the degree of approximation of the Hermite and Hermite-Fejér 
interpolation. 92k:41024 

— see also Varma, A. K., 924:41041 

Pych-Taberska, Paulina On the rate of pointwise convergence of Szasz-Mirakyan operators. 
92d:41038 

— On the rate of convergence of the Feller operators. 92k:41025 

Qualls, C. R. see Beyer, W. A.; et al., 92i:41023 

Rathore, R. K.S. (with Dhariyal, I. D.; Munshi, P.) Generalization of a result on Lipschitz 
classes. 92d:41039 

RieBinger, Thomas Overlapping approximation of the exponential function on the positive 
axis. 92j:41028 

Singh, Suresh Prasad On degree of approximation by Sz4sz type operators. 92d:41040 

Stephani, Irmtraud Entropy and the approximation of continuous functions. 92m:41048 

Varma, A. K. (with Prasad, Jagdish) Rate of convergence for lacunary interpolation 
processes based on the roots of unity. 92d:41041 

Varma, Sushama K. see Gupta, Rajendra Prasad, 92i:41024 

Vértesi, Péter A note on approximation of certain functions. 92h:41039 

Xu, Ji Hua (with Li, Luo Qing) Converse theorems for approximation by Bernstein- 
Durrmeyer polynomials. 92¢:41016 

Yu, Xiang Ming see DeVore, Ronald A.; et al., 92b:41035 

Zhou, Song Ping A note on a paper of M. Hasson: “Comparison between the degrees of 
approximation by lacunary and ordinary algebraic polynomials” [J. Approx. Theory 29 
(1980), no. 2, 103-115; MR 82f:41012]. 92m:41049 


APPROXIMATIONS AND EXPANSIONS 


Items with secondary classifications in 41A25 


Abdugapparov, A. A. (with Mukhamedov, M. A.) Order of approximation of functions in a 
Hélder class by polynomials. (Russian. Uzbek summary) 92c:41006 

Agarwal, Ravi P. Sharp Hermite interpolation error bounds for derivatives. 92m:41005 

— see also Wong, Patricia J. Y., 92j:41011 

Agrawal, Purshottam Narain (with Gupta, Vijay) Simultaneous approximation by linear 
combination of modified Bernstein polynomials. 92d:41042 

— see also Gupta, Vijay; et al., 92g:41029 

Aljarrah, Radwan (with Rababah, Abedallah) On the rate of convergence of Hermite-Fejér 
polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials. 
92d:41012 

Anastassiou, George A. Monotone approximation by pseudopolynomials. 92h:41011 

Andrienko, V. A. Rate of approximation by Riesz means of orthogonal series. (Russian) 
92b:42035 

Aniol, G. (with Pych-Taberska, Paulina) On the rate of convergence of the Durrmeyer 
polynomials. 92m:41021 

Babaev, M.-B. A. On the order of approximation of the Sobolev class W7 by bilinear forms 
in L, for! <q<p<2.(Russian) 92d:46082 

Baker, George A., Jr. (with Graves-Morris, P. R.) Convergence theorems for rows of 
Hermite-Padé integral approximants. 92h:41036 

Balazs, Katherine (with Kilgore, Theodore; Vértesi, Péter) An interpolatory version of 
Timan’s theorem on simultaneous approximation. 92m:41022 

Baszenski, Ginter (with Delvos, Franz-Jiirgen) Remainders for Boolean interpolation. 
92£:41002 

de la Cal, Jestis see Luquin Martinez, Francisco, 92f:41015 

Chen, Guang Rong (with Wu, Garidi) Approximation of convolution type operators in 
Orlicz spaces. (Chinese. English summary) 92j:42002 

De Blasi, F.S. (with Myjak, J.; Papini, P. L.) Porous sets in best approximation theory. 
92h:41066 

Della Vecchia, B. (with Mastroianni, Giuseppe) Pointwise simultaneous approximation by 
rational operators. 92j:41026 

Delvos, Franz-Jiirgen see Baszenski, Giinter, 92f:41002 

DeVore, Ronald A. Degree of nonlinear approximation. 92e:41021 

— (with Yu, Xiang Ming) Nonlinear n-widths in Besov spaces. 92e:41022 

Donchev, Tzanko Donchev (with Farkhi, Elza M.) Moduli of smoothness of vector valued 
functions of a real variable and applications. 92a:41020 

Dryanov, Dimiter P. One-sided approximation by trigonometric polynomials in Lp-norm, 
O<p<1. 92h:42004 

Farkhi, Elza M. see Donchev, Tzanko Donchev, 92a:41020 

Fedorov, V. M. Characterization of the smoothness of functions with a given order of 
approximation by polynomials on the real line. 92b:41010 

Fiedler, Heinz (with Jurkat, W. B.) Best L'-approximation by polynomials. II. 92b:41011 

Gal, S. G. Calculus of the modulus of continuity for nonconcave functions and applications. 
92k:41014 

Graves-Morris, P. R. see Baker, George A., Jr., 92h:41036 

Gupta, Rajendra Prasad (with Varma, Sushama K.) On degree of approximations by matrix 
operators of Jacobi series. 

Gupta, Vijay (with Agrawal, Purshottam Narain; Sahai, Ashok; Sinha, T. A. K.) Lp- 
approximation by combination of modified Szasz-Mirakyan operators. 92g:41029 

— see also Agrawal, Purshottam Narain, 92d:41042 

Ha Huy Bang (with Morimoto, Mitsuo) On the Bernstein-Nikolsky inequality. 92g:41020 

Il'yasov, N. A. On the inequality between moduli of smoothness of various orders in 
different metrics. (Russian) 92m:41041 

Jain, Suresh see Pathak, Ashutosh, 92m:41025 

Janik, Adam On approximation of analytic functions and generalized orders. 92k:32004 

Jiang, Gong Jian On the approximation of continuous functions by Pal-type interpolation 
polynomials. 92a:41003 

Jiang, Hui Kun A class of approximation identity operators on local fields. (Chinese. English 
summary) 92¢:41018 

Jurkat, W. B. see Fiedler, Heinz, 92b:41011 

Kilgore, Theodore (with Prestin, Jiirgen) On the order of convergence of simultaneous 
approximation by Lagrange-Hermite interpolation. 92j:41005 

— see also Balazs, Katherine; et al., 92m:41022 

Leviatan, D. Degree of approximation by polynomials with restricted coefficients. 
92i:41027 

Li, Luo Qing (with Yang, Ru Yue) Approximation of spherical Jackson polynomials. 
(Chinese. English summary) 92h:41016 

Lin, Xu Dong On a conjecture of Hasson. 92i:41034 

Luquin Martinez, Francisco (with de la Cal, Jesis) Use of Bernstein polynomials for 
approximation of partial derivatives of functions on a triangle. 92f:41015 

Mastroianni, Giuseppe see Della Vecchia, B., 92j:41026 

Maté, Attila (with Nevai, Paul) Necessary conditions for mean convergence of Hermite- 
Fejér interpolation. 92m:41014 

Mhaskar, H. N. (with Xu, Yuan) Mean convergence of expansions in Freud-type 
orthogonal polynomials. 92a:42037 

Morimoto, Mitsuo see Ha Huy Bang, 92g:41020 

Moskona, E.S. (with Petrushev, P. P.) Uniform rational approximation of functions with 
first derivative in the real Hardy space Re H'. 92a:41019 

Mukhamedov, M. A. see Abdugapparov, A. A., 92c:41006 

Musielak, Helena Jackson type inequality for one-sided approximation by entire functions 
of exponential type. 92¢:41022 

Myjak, J. see De Blasi, F. S.; et al., 92h:41066 

Nema, H. K. see Qureshi, K. 

Nevai, Paul see Maté, Attila, 92m:41014 

Nguyén Xuan Ky On imbedding th for 
modulus of continuity of functions. 92f:41016 

Papini, P. L. see De Blasi, F. S.; et al., 92h:41066 

Pathak, Ashutosh (with Jain, Suresh) On the degree of approximation of a function by 
No6rlund means of its Fourier-Jacobi series. 92m:41025 

Petrushev, P. P. see Moskona, E. S., 92a:41010 





ighted polynomial approximation and 





671 1992 


Prestin, Jiirgen (with Tasche, Manfred) Trigonometric interpolation for bivariate functions 
of bounded variation. 92d:41008 

— see also Kilgore, Theodore, 92j:41005 

Pych-Taberska, Paulina On the rate of convergence of Sturm-Liouville expansions. (Russian 
summary) 92e:34118 

— (with Taberski, Roman) Exponential approximation in the norms and semi-norms. 
92b:41042 

— see also Aniot, G., 92m:41021 

Qureshi, K. (with Nema, H. K.) On the degree of approximation of functions belonging to 
the weighted class. 

— (with Nema, H. K.) A class of functions and their degree of approximation. 

Rababah, Abedallah see Aljarrah, Radwan, 92d:41012 

Ranadive, A.S. (with Singh, S. P.) An improvement over a th 
(Italian summary) 924:41051 

RieBinger, Thomas Verallgemeinerte Uberlappungsapp 
[Generalized overlapping approximation] 92f:41024 

Runck, P.O. (with Vértesi, Péter) Some good point systems for derivative of Lagrange 
interpolatory operators. 92m:41016 

Rusak, V. N. Exact orders of best rational approximations of a convolution of the Weyl 
kernel, and functions from L,. (Russian) 

Sahai, Ashok see Gupta, Vijay; et al., 92g:41029 

Sakai, Ryozi Hermite-Fejér interpolation prescribing higher order derivatives. 92m:41017 

Shevchuk, I. A. On the sharpness of an approximation criterion of smoothness for functions 
on a segment. 92b:41017 

Shi, Ying Guang On critical order of Hermite-Fejér type interpolation. 92f:41008 

Singh, S. P. see Ranadive, A. S., 92d:41051 

Singh, Suresh Prasad (with Tiwari, M. K.) A note on a theorem of approximation by 
modified Sz4sz operators. 92f:41027 

Sinha, T. A. K. see Gupta, Vijay; et al., 92g:41029 

Szabados, J. (with Varma, A. K.) On mean convergence of derivatives of Lagrange 
interpolation. 92g:41008 

Taberski, Roman Exponential approximation on the real line. 92e:41011 

— see also Pych-Taberska, Paulina, 92b:41042 

Tasche, Manfred see Prestin, Jiirgen, 92d:41008 

Tiwari, M. K. see Singh, Suresh Prasad, 92f:41027 

(Trzeciak, Jerzy) see Fedorov, V. M., 92b:41010 and Shevchuk, I. A., 92b:41017 

Varma, A. K. see Szabados, J., 92g:41008 

Varma, Sushama K. see Gupta, Rajendra Prasad 

Vértesi, Péter (with Xu, Yuan) Mean convergence of quasi Hermite-Fejér interpolation. 
92j:41010 

— see also Runck, P. O., 92m:41016 and Balazs, Katherine; et al., 92m:41022 

Wong, Patricia J. Y. (with Agarwal, Ravi P.) Abel-Gontscharoff interpolation error bounds 
for derivatives. 92j:41011 

Wa, Garidi see Chen, Guang Rong; et al., 92j:42002 

Xu, Yuan On rational Hermite-Fejér type interpolation. 92f:41010 

— Convergence rate for Hermite-Fejér interpolation of higher order. 92m:41019a 

— Erratum: “Convergence rate for Hermite-Fejér interpolation of higher order”. 
92m:41019b 

— see also Mhaskar, H. N., 92a:42037 and Vértesi, Péter, 92j:41010 

Yang, Ru Yue see Li, Luo Qing; et al., 92h:41016 

Yu, Xiang Ming see DeVore, Ronald A., 92e:41022 

Yudin, A. A. (with Yudin, V. A.) Jackson theorems in L2. (Russian) 92h:41033 

Yudin, V. A. see Yudin, A. A., 92h:41033 

Zhu, Guo Hua Degree of approximation of Hermite-Fejer interpolation based on the zeros 
of Legendre polynomial and its derivative. 92f:41011 





of H. H. Gonska. 





imation. (English summary) 


41A27 Inverse theorems 


Gorbaichuk, V. I. Inverse theorems of approximation by special continuation operators and 
their applications to some problems in mathematical physics. (Russian) 92m:41050 
Zhou, Ding Xuan Inverse theorems for some multidimensional operators. 92¢:41017 


Items with secondary classifications in 41A27 

Dryanov, Dimiter P. One-sided approximation by trigonometric polynomials in Ly-norm, 
0<p<1. 92h:42004 

Fedorov, V.M. Characterization of the smoothness of functions with a given order of 
approximation by polynomials on the real line. 92b:41010 

Iliev, Georgi L. The use of the K-functional to obtain direct and inverse theorems for shape 
preserving approximations. (Bulgarian summary) (see 92a:00041) 

Jassim, S. K. On Bernstein polynomials for Riemann integrable functions. 92j:41016 

Kounchev, Ognyan Iv. Exact estimates of the Laplacian of a polyharmonic function and 
approximation through polyharmonic functions. 92j:35042a 

— Sharp estimate of the Laplacian of a polyharmonic function and applications. 92j:35042b 

Li, Luo Qing see Xu, Ji Hua; et al., 92c:41016 

Popov, Vasil A. Nonlinear multivariate approximation. 92b:41036 

(Trzeciak, Jerzy) see Fedorov, V. M., 92b:41010 

Xu, Ji Hua (with Li, Luo Qing) Converse theorems for approximation by Bernstein- 
Durrmeyer polynomials. 92¢:41016 


41A28 Simultaneous approximation 


Agrawal, Purshottam Narain (with Gupta, Vijay) Simultaneous approximation by linear 
combination of modified Bernstein polynomials. 92d:41042 

Atacik, Sermin see Karakus, Yusuf, 92k:41026 

Badea, C. On a Korovkin-type theorem for simultaneous approximation. 92j:41029 

de Bruin, Marcel G. Some aspects of generalized T-fractions. 92h:41040 

Draux, André (with Maanaoui, Abdallah) Vector orthogonal polynomials. 92b:41037 

Gonska, Heinz H. Degree of simultaneous approximation of bivariate functions by Gordon 
operators. 92b:41038 

Gupta, Vijay see Agrawal, Purshottam Narain, 92d:41042 


APPROXIMATIONS AND EXPANSIONS 


41A29 


Huotari, Robert (with Sahab, Salem M. A.) Simultaneous monotone L» approximation, 
p— co. 92h:41041 

Karakus, Yusuf Simultaneous approximation in L, norm. (Turkish summary) 92c:41018 

— (with Atacik, Sermin) Simultaneous approximation in L,[a, 5] when p is noninteger real 
number. 92k:41026 

Maanaoui, Abdallah see Draux, André, 92b:41037 

Mukherjee, Rathindra Nath’ (with Verma, Vandana) Some fixed point theorems and their 
applications to best simultaneous approximations. 92m:41051 

Sahab, Salem M. A. Best simultaneous approximation of quasi-continuous functions by 
monotone functions. 92h:41042 

— Convergence of best simultaneous approximants. 92j:41030 

— see also Huotari, Robert, 92h:41041 

Soriano, Maria Luisa * Aproximacién simultanea en espacios normados. (Spanish) 
[Simultaneous approximation in normed spaces] 92d:41043 

Verma, Vandana see Mukherjee, Rathindra Nath', 92m:41051 

Wingren, Peter Simultaneous multivariate polynomial interpolation and approximation on 
fractal sets. 92h:41043 


Items with secondary classifications in 41A28 


Agarwal, Ravi P. Sharp Hermite interpolation error bounds for derivatives. 92m:41005 

Anastassiou, George A. Monotone approximation by pseudopolynomials. 92h:41011 

Balazs, Katherine (with Kilgore, Theodore) Simultaneous approximation of derivatives by 
interpolation. (see 91j:41001) 

de Bruin, Marcel G. Some aspects of simultaneous rational approximation. 92b:41030 

Della Vecchia, B. (with Mastroianni, Giuseppe) Pointwise simultaneous approximation by 
rational operators. 92j:41026 

Golub, A. P. A property of Padé approximations of hypergeometric functions. (Russian) 
92£:30056 

Kilgore, Theodore (with Prestin, Jiirgen) On the order of convergence of simultaneous 
approximation by Lagrange-Hermite interpolation. 92j:41005 

— see also Balazs, Katherine, (91j:41001) 

Mastroianni, Giuseppe see Della Vecchia, B., 92j:41026 

Prestin, Jiirgen see Kilgore, Theodore, 92j:41005 

Sorokin, V. N. Convergence of simultaneous Padé approximants to two dilogarithms. 
(Russian summary) 92c:41015 

— Simultaneous Padé approximations of functions of Stieltjes type. (Russian) 92f:41023 

Wu, Xiang (with Zhou, Song Ping) A problem on coapproximation of functions by 
algebraic polynomials. 92m:41026 

Zhou, Song Ping see Wu, Xiang, 92m:41026 


41A29 Approximation with constraints 


Dunham, Charles B. One-sided nonlinear mean approximation. 92i:41025 

— see also Zhu, Chang Zhong; et al., 92d:41044 

Huotari, Robert (with Legg, D. A.; Townsend, Douglas) Best L)-approximation by convex 
functions of several variables. 92h:41044 

Jassim, S. K. Best onesided approximation with algebraic polynomials. 92¢:41019 

Kro6, Andras (with Schmidt, Darrell) A Haar-type theory of best L;-approximation with 
constraints. 92g:41027 

Legg, D. A. (with Townsend, Douglas) The Pélya-1 property for convex approximation. 
92i:41026 

— see also Huotari, Robert; et al., 92h:41044 

Leviatan, D. Degree of approximation by polynomials with restricted coefficients. 
92i:41027 

Lu, Xu Guang Convex approximation by multivariate polynomials. (Chinese. English 
summary) 92b:41039 

Makovoz, Y. Linear approximations of functions with several restricted derivatives. (see 
92g:41001) 

RieBinger, Thomas Verallgemeinerte Uberlapp PP 
[Generalized overlapping approximation] 92f:41024 

Schmidt, Darrell see Kroé, Andras, 92g:41027 

Taberski, Roman Exponential approximation on the real line. 92e:41011 

Townsend, Douglas see Huotari, Robert; et al., 92h:41044 and Legg, D. A., 92i:41026 

Weba, Michael Monotone approximation of random functions with multivariate domains 
in respect of lattice semi-norms. 92k:41027 

Weinstein, S. E. (with Xu, Yuesheng) Best quasi-convex uniform approximation. 
92h:41045 

Xu, Shu Sheng Strong uniqueness of generalized polynomial of best approximation having 
bounded coefficients. 92¢:41020 

Xu, Yuesheng see Weinstein, S. E., 92h:41045 

Zhu, Chang Zhong (with Dunham, Charles B.) Discrete one-sided nonlinear L, approxima- 
tion. 924:41044 





Oximation. (English summary) 


Items with secondary classifications in 41A29 


Carnicer, J. M. On best constrained interpolation. 92m:41008 

Dacunha-Castelle, Didier (with Gamboa, Fabrice) Maximum d’entropie et probléme des 
moments. (English summary) [Maximum entropy and the moment problem] 92a:62008 

Dinh Dung Reconstruction and one-sided approximation of periodic functions of several 
variables. (Russian) 

Doronin, V.G. (with Ligun, A. A.) Sharpening Jackson-type inequalities for one-sided 
approximations. (Russian) 92g:41018 

Gamboa, Fabrice see Dacunha-Castelle, Didier, 92a:62008 

von Golitschek, Manfred (with Schumaker, Larry L.) Data fitting by penalized least squares. 
924d:65028 

Hoischen, Lothar Approximation by linear combinations of continuous functions with 
restricted coefficients. 92k:41033 

Kostova, V. At. Approximation of bounded nonnegative functions by polynomials with 
positive coefficients in the Hausdorff metric. 92a:41004 

Lau, T. C. see Lawson, John Douglas; et al., 92g:41021 





41A29 


Lawson, John Douglas (with Lau, T. C.; Taylor,G.D.) Existence of Hermite interpolatory 
end point constrained rational approximation. 92g:41021 

Li, Chong Restricted approximations in normed linear spaces and their applications. 
(Chinese. English summary) 92b:41054 

Ligun, A. A. see Doronin, V. G., 92g:41018 

Lin, Xu Dong On a conjecture of Hasson. 92i:41034 

Sakai, Manabu see Togashi, Akira, 92h:65019 

Schumaker, Larry L. see von Golitschek, Manfred, 92d:65028 

Swetits, J.J. (with Weinstein, S. E.; Xu, Yuesheng) Best Lp-approximation with multiple 
constraints for 1 < p < co. 92¢:41028 

Taylor, G. D. see Lawson, John Douglas; et al., 92g:41021 

Togashi, Akira (with Sakai, Manabu) Convex approximation to convex data. 92h:65019 

Weinstein, S. E. see Swetits, J. J.; et al., 92c:41028 

Wulbert, Daniel E. The rational approximation of circuit design. 92i:41020 

Xu, Yuesheng see Swetits, J. J.; et al., 92c:41028 


41A30 Approximation by other special function classes 


Babenko, V. F. (with Rudenko, A. A.) Optimal reconstruction of convolutions and scalar 
products of functions in various classes. (Russian. Ukrainian summary) 92j:41031 

Beohar, Archana see Beohar, Neha; et al., 92d:41045 

Beohar, Neha (with Sohle, Varsha; Beohar, Archana) Approximation of functions by (C, 1) 
mean of Jacobi series. (Hindi. English summary) 924:41045 

Donevski, B. D. Two-dimensional approximation by the least squares method—the matrix 
approach. (Bulgarian. English and Russian summaries) 

Drozd, V. V. Best simultaneous approximation of functions and their derivatives. (Russian) 
92h:41046 

Dunham, Charles B. Local Lipschitz constant for nonlinear approximation. 

Dyn, Nira (with Lubinsky, D. S.; Shekhtman, Boris) On density of generalized polynomials. 
92d:41046 

Dzhrbashyan, A. M. Uniform approximation of functions of generalized-bounded form in 
a half-plane and an analogue of the Akutowicz theorem. (Russian. English and Armenian 
summaries) 92e:41012 

Dzyadyk, V.K. New approaches to the theory of special functions and their approximations. 
(Russian) (see 92i:00028a) 

Gaimnazarov, G. Jackson theorems in the spaces H,(—o0o, 00) and the approximation of a 
function in the class L)(—0o, 00) by Cesaro and Gauss-Weierstrass means. (Russian. Tajiki 
summary) 

Ginchev, I. Local approximations of higher order for multifunctions of one variable. 
92b:41040 

Gustafson, Sven-Ake (with Stenger, Frank) Convergence acceleration applied to sinc 
approximation with application to approximation of |x|*. (see 92g:93006) 

Hamann, Uwe Approximation mittels Linearkombinationen von Fundamentallésungen 
elliptischer Differentialoperatoren. (English summary) [Approximation by means of 
linear combinations of fundamental solutions of elliptic differential operators] 92j:41032 

Iichev, V. V. Determination of the optimal dimension of basis space in approximation with 
finite functions. 

Kapoor, G. P. (with Nautiyal, A.) Approximation of harmonic functions regular in a finite 
hyperball in R’+?. (see 92b:00048) 

Keinert, Fritz Uniform approximation to |x|* by sinc functions. 92d:41047 

Konyagin, S. V. Parametric approximations of piecewise-analytic functions. (Russian) 
92¢:41021 

Lehmann, N. J. Adaptive Approximation und Anwendungen. [Adaptive approximation and 
applications] 92i:41028 

Lenze, Burkhard (with Locher, Franz) On ridge-type functions with elliptic contour lines. 
92£:41025 

Li, Chun’ see Sun, Yong Sheng; et al., 92k:41028 

Li, Zhong Kai On the degree of approximation of continuous functions by linear means of 
Fourier-Jacobi series. (Chinese summary) 92j:41033 

Locher, Franz see Lenze, Burkhard, 92f:41025 

Labinsky, D.S. see Dyn, Nira; et al., 924:41046 

Magaril-Il’'yaev, G.G. Mean dimension and widths of classes of functions on the line. 
(Russian) 92j:41034 

Martinez-Legaz, Juan-Enrique Uniform approximation by classes of functions closed under 
translation and pointwise supremum. 92b:41041 

McInnes, Allan W. Formulation of the integral form for integral function approximations. 

— Degeneracies of the integral form for integral function approximations. 

— Existence and uniqueness of algebraic function approximations. 92m:41052 

Mikulich, A. V. see Voitsekhovich, V. V.; et al., (92d:00023) 

Musielak, Helena Jackson type inequality for one-sided approximation by entire functions 
of exponential type. 92c:41022 

Nautiyal, A. see Kapoor, G. P., (92b:00048) 

Nersesyan, Ashot A. Approximation by harmonic functions on closed subsets of planar 
domains. (Russian. English and Armenian summaries) 92e:41013 

— Letter to the editors: “Approximation by harmonic functions on closed subsets of planar 
domains” (Izv. Akad. Nauk Armyan. SSR Ser. Mat. 25 (1990), no. 3, 274-283; MR 
92e:41013]. (Russian) 

Precup, Radu Convex functions of order n and P,,-simple functionals. 92d:41048 

Pych-Taberska, Paulina (with Taberski, Roman) Exponential approximation in the norms 
aad semi-norms. 92b:41042 

Rudenko, A. A. see Babenko, V. F., 92j:41031 

Savi¢, Viadimir N. On approximation of continuous functions. (Serbo-Croatian summary) 
92b:41043 

Sevast’yanov, L. A. see Voitsekhovich, V. V.; et al., (92d:00023) 

Shekhtman, Boris see Dyn, Nira; et al., 924:41046 

Sohle, Varsha see Beohar, Neha; et al., 92d:41045 

Stenger, Frank see Gustafson, Sven-Ake, (92g:93006) 

Stepanets, A. I. Classes of functions defined on the real axis, and their approximations by 
entire functions. I. (Russian) 92¢:41014 


APPROXIMATIONS AND EXPANSIONS 


1992 


— Classes of functions defined on the real axis, and their approximations by entire functions. 
II. (Russian. Ukrainian summary) 92e:41015 

— (with Stepanets, N. I.) Approximation by entire functions in the mean on the real axis. 
(Russian. Ukrainian summary) 92m:41053 

Stepanets, N.I. see Stepanets, A. I., 92m:41053 

Sun, Yong Sheng (with Li, Chun>) Optimal recovery for Wj(R) in L7(R). 92k:41028 

Taberski, Roman see Pych-Taberska, Paulina, 92b:41042 

Voitsekhovich, V. V. (with Mikulich, A. V.; Sevast'yanov, L. A.) A variational method for 
the piecewise-plane approximation of a surface by local slopes at points of a uniform 
triangular grid. (Russian) (see 92d:00023) 

Wilson, J. Michael (with Zwick, D.) Best approximation by subharmonic functions. 
92g:41028 

Zwick, D. see Wilson, J. Michael, 92g:41028 


Items with secondary classifications in 41A30 

Attouch, Hédy (with Azé,D.) Approximation and regularization of arbitrary functions in 
Hilbert spaces by the Lasry-Lions method. 92h:41065 

Azé, D. see Attouch, Hédy, 92h:41065 

Badalyan, G. V. (with Edigaryan, V. M.) Solution of a problem of Mendeleev type and 
estimation of the derivatives of polynomials in the Laguerre weighted space L?. (Russian) 
92k:41013 

Bushev, D. N. Some extremal relations for classes of convolutions. (Russian. Ukrainian 
summary) 92b:42001 

Chui, Charles K. (with Wang, Jian Zhong?) On compactly supported spline wavelets and a 
duality principle. 92f:41020 

Cohen, Albert Construction de bases d’ondelettes a-héldériennes. [Construction of a- 
HGlder wavelet bases] 92j:42024 

DeVore, Ronald A. (with Leviatan, D.; Yu, Xiang Ming) L, approximation by reciprocals 
of trigonometric and algebraic polynomials. 92b:41035 

Dyn, Nira Interpolation and approximation by radial and related functions. 924:41002 

— (with Micchelli, Charles A.) Interpolation by sums of radial functions. 92a:65043 

Edigaryan, V. M. see Badalyan, G. V., 92k:41013 

Glasner, Moses (with Yevick, David; Hermansson, Bjérn) Computer generated generalized 
propagation techniques. 92h:65029 

Greco, Luigi An approximation theorem for the I~ -convergence of degenerate quadratic 
functionals. (Italian. English summary) 92a:49020 

Hamann, Uwe Approximation durch Lésungen elliptischer Randwertprobleme auf offenen 
Mengen. I. (English and Russian summaries) [Approximation on open sets by solutions of 
elliptic boundary value problems. I] 92h:35062 

Hermansson, Bjorn see Glasner, Moses; et al., 92h:65029 

Humke, Paul D. (with Laczkovich, Miklés) Approximations of continuous functions by 
squares. 92d:26009 

Huotari, Robert (with Legg, D. A.; Townsend, Douglas) Best L;-approximation by convex 
functions of several variables. 92h:41044 

Ilyasov, N. A. On the inequality between moduli of smoothness of various orders in 
different metrics. (Russian) 92m:41041 

Kro6, Andras (with Peherstorfer, Franz) On the distribution of extremal points of general 
Chebyshev polynomials. 92j:41038 

Laczkovich, Miklés see Humke, Paul D., 92d:26009 

Legg, D. A. (with Townsend, Douglas) The Pélya-1 property for convex approximation. 
92i:41026 

— see also Huotari, Robert; et al., 92h:41044 

Leviatan, D. see DeVore, Ronald A.; et al., 92b:41035 

Magaril-Il’yaev, G. G. (with Osipenko, K. Yu.) Optimal reconstruction of functionals from 
inaccurate data. (Russian) 92m:65025 

Micchelli, Charles A. see Dyn, Nira, 92a:65043 

Nashed, M. Zuhair (with Walter, Gilbert G.) Reconstructing a function from its values on a 
subset of its domain: new sampling theorems. 92g:65020 

Nikol/skii, S.M. Approximation, on a manifold, of functions of Besov class by entire 
functions of exponential type. (Russian) 92m:41069 

Olevskii, A.M. On spectrum-preserving approximation. (Russian) 92a:42030 

Osipenko, K. Yu. Recovery methods that are the best and optimal on classes of harmonic 
functions. (Russian) 92k:41044 

— see also Magaril-Il'yaev, G. G., 92m:65025 

Paramonov, P. V. Harmonic approximations in the C'-norm. (Russian) 92j:31006 

Peherstorfer, Franz see Kro6, Andras, 92j:41038 

Salzer, Herbert E. Confluent Prony approximation. 92g:65021 

— Erratum to: “Confluent Prony approximation” [Comput. Math. Appl. 22 (1991), no. 10, 
25-31; MR 92g:65021]. 

Townsend, Douglas see Huotari, Robert; et al., 92h:41044 and Legg, D. A., 92i:41026 

Vitale, Richard A. Approximation by mutually completely dependent processes. 92h:60054 

Walter, Gilbert G. see Nashed, M. Zuhair, 92g:65020 

Wang, Jian Zhong? see Chui, Charles K., 92f:41020 

Weinstein, S. E. (with Xu, Yuesheng) A duality approach to best uniform convex 
approximation. 92j:41039 

Xu, Yuesheng see Weinstein, S. E., 92j:41039 

Yevick, David see Glasner, Moses; et al., 92h:65029 

Yu, Xiang Ming see DeVore, Ronald A.; et al., 92b:41035 

Zhu, Lai Yi Approximation of functions of ABMV by Euler means. (Chinese. English 
summary) 

Zwick, D. The obstacle problem and best superharmonic approximation. 92c:31008 


41A35 Approximation by operators (in particular, by integral 
operators) 


Agrawal, Purshottam Narain see Gupta, Vijay; et al., 92g:41029 

Anastassiou, George A. (with Cottin, Claudia; Gonska, Heinz H.) Global smoothness of 
approximating functions. 92h:41047 

Bardaro, Carlo (with Vinti, Gianluca) On approximation properties of certain nonconvolu- 
tion integral operators. 92¢:41016 





673 1992 


Chalmers, B. L. (with Metcalf, F. T.) The determination of minimal projections and 
extensions in L'. 92¢:41017 

Chen, Wen Zhong The equivalent approximation theorem for Meyer-K6nig and Zeller type 
operators. (Chinese. English summary) 

— (with Wu, Zi Li) An approximation theorem for linear operators on the space H;, of 
functions of two variables. (Chinese. English summary) 92k:41029 

Cottin, Claudia see Anastassiou, George A.; et al., 92h:41047 

Gonska, Heinz H. see Anastassiou, George A.; et al., 92h:41047 

Guo, Shun Sheng see Wang, Yuan Kui; et al., 92h:41049 

Gupta, Rajendra Prasad (with Varma, Sushama K.) On degree of approximations by matrix 
operators of Jacobi series. 

Gupta, Vijay (with Agrawal, Purshottam Narain; Sahai, Ashok; Sinha, T. A. K.) L,- 
approximation by combination of modified Szasz-Mirakyan operators. 92g:41029 

Jiang, Hui Kun A class of approximation identity operators on local fields. (Chinese. English 
summary) 92e:41018 

Li, Luo Qing (with Xu, Ji Hua) Approximation by integral type Meyer-K6nig and Zeller 
operators. (Chinese summary) 92¢:41023 

Merlina, N. 1. Approximation of continuous functions by linear combinations of modified 
Mirak’yan operators. (Russian) 924:41049 

Metcalf, F. T. see Chalmers, B. L., 92¢:41017 

Sahai, Ashok see Gupta, Vijay; et al., 92g:41029 

Shalaev, V. V. Sharp estimates for the approximation of functions, continuous on a sphere, 
by linear operators of convolution type. (Russian. Ukrainian summary) 92h:41048 

Sheng, Bao Huai (with Wu, Garidi) A new type of binary Bernstein-Kantorovich operators 
and their L, approximation. (Chinese. English summary) 92i:41029 

Sinha, T. A. K. see Gupta, Vijay; et al., 92g:41029 

Takahasi, Sin-ei Bohman-Korovkin-Wulbert operators on C[0, 1] for {1, x, x”, x3, x4}. 
92¢:41019 

Temlyakov, V. N. On estimates of approximation numbers and best bilinear approximation. 
92k:41030 

Timoshin, O. A. Approximation of differential polynomials on classes of vector functions. 
(Russian) 92m:41054 

Varma, Sushama K. see Gupta, Rajendra Prasad 

Vinti, Gianluca see Bardaro, Carlo, 92e:41016 

Wang, Yuan Kui (with Guo, Shun Sheng) Rate of approximation of functions of bounded 
variation by modified Lupas operators. 92h:41049 

Wu, Garidi see Sheng, Bao Huai; et al., 92i:41029 

Wa, Zi Li see Chen, Wen Zhong; et al., 92k:41029 

Xu, Ji Hua see Li, Luo Qing; et al., 92c:41023 

Zhang, Zhen Qiu On weighted approximation by Bernstein-Durrmeyer operators. 
92m:41055 

Zhou, Ding Xuan L?-inverse theorems for beta operators. 92h:41050 


Items with secondary classifications in 41A35 

Agrawal, Purshottam Narain (with Gupta, Vijay) On the iterative combination of Phillips 
operators. 92¢:47131 

— see also Gupta, Vijay, 92h:41038 

Chui, Charles K. (with Diamond, Harvey) A general framework for local interpolation. 
92b:41005 

Delvos, Franz-Jiirgen (with Schempp, Walter) * Boolean methods in interpolation and 
approximation. 92k:41003 

Diamond, Harvey see Chui, Charles K., 92b:41005 

Edgar, Gerald A. (with Sucheston, Louis) A note on weak inequalities in Orlicz and Lorentz 
spaces. (see 92g:41001) 

Gorbaichuk, V.1I. Inverse theorems of approximation by special continuation operators and 
their applications to some problems in mathematical physics. (Russian) 92m:41050 

Gupta, Rajendra Prasad (with Varma, Sushama K.) On degree of approximations by matrix 
operators of Jacobi series. 92i:41024 

Gupta, Vijay (with Agrawal, Purshottam Narain) An estimate of the rate of convergence for 
modified Szasz-Mirakyan operators of function of bounded variation. 92h:41038 

— see also Agrawal, Purshottam Narain, 92e:47131 

Khan, Rasul A. Some properties of a Bernstein-type operator of Bleimann, Butzer, and 
Hahn. 92h:41015 

Li, Luo Qing see Xu, Ji Hua, 92d:41052 

Mo, Qi Wu (with Tu, Tian Liang) The Lebesgue function and estimation of the norm of 
the Hermite-Fejér interpolation operator on the unit circle. (Chinese. English summary) 
92i:41005 

Mohapatra, Ram Narayan (with Rodriguez, R.S.) On the rate of convergence of singular 
integrals for Hélder continuous functions. 92k:42013 

Pannenberg, Michael Stable rank of Fourier algebras and an application to Korovkin theory. 
92b:46077 

Pych-Taberska, Paulina On the rate of convergence of the Feller operators. 92k:41025 

Ranadive, A.S. (with Singh, S. P.) An improvement over a theorem of H. H. Gonska. 
(Italian summary) 92d:41051 

Rodriguez, R.S. see Mohapatra, Ram Narayan, 92k:42013 

Schempp, Walter see Delvos, Franz-Jiirgen, 92k:41003 

Singh, S. P. sce Ranadive, A. S., 92d:41051 

Sucheston, Louis see Edgar, Gerald A., (92g:41001) 

Tu, Tian Liang see Mo, Qi Wu; et al., 92i1:41005 

Varma, Sushama K. see Gupta, Rajendra Prasad, 92i:41024 

Wang, Guan Min The optimal approximation constant for the Matsuoka operator 
In2,1(f;x). (Chinese. English summary) 92m:42004 

Wa, Zheng Chang Norm of the Bernstein left quasi-interpolant operator. 92k:41011 

Xu, Ji Hua (with Li, Luo Qing) Converse theorems on approximation by integral type 
Meyer-K6nig and Zeller operators. 92d:41052 


41A36 Approximation by positive operators 


Altomare, Francesco Lototsky-Schnabl operators on the unit interval. (French summary) 
92j:41035 


APPROXIMATIONS AND EXPANSIONS 


41444 


Baskakov, V. A. The Korovkin-Ul'yanov problem in the theory of linear approximation of 
classes of functions. (Russian) (see 92i:00028a) 

Cao, Jia Ding Some remarks on the Groetsch-Shisha theorem. 92g:41030 

Della Vecchia, B. Some properties of a rational operator of Bernstein-type. 924:41050 

Feng, Yu Yu (with Kozak, Jernej) Asymptotic expansion formula for Bernstein polynomials 
defined on a simplex. 92m:41056 

Jiménez Pozo, Miguel A. (with Lopez Nuiiez, Eduardo F.) Qualitative theorems of 
Korovkin type for the space of Riemann integrable functions. (Spanish. English summary) 
92k:41031 

Kozak, Jernej see Feng, Yu Yu, 92m:41056 

Li, Luo Qing see Xu, Ji Hua, 92d:41052 

Li, Zong Duo An approximation theorem for Bernstein-Durrmeyer-Bézier operators. 
(Chinese. English summary) 92f:41026 

— Approximation properties of Bernstein-Durrmeyer-Bézier operators on L,[0, 1}. (Chinese. 
English summary) 92h:41051 

Lépez Niiiiez, Eduardo F. see Jiménez Pozo, Miguel A., 92k:41031 

Marlewski, Adam Two-dimensional analogues of a certain Voronovskaja type theorem. 
92c:41024 

Ranadive, A.S. (with Singh, S. P.) An improvement over a theorem of H. H. Gonska. 
(Italian summary) 924:41051 

Sato, Ryotaro A counterexample to a discrete Korovkin theorem. 92a:41013 

Singh, S. P. see Ranadive, A. S., 92d:41051 

Singh, Suresh Prasad (with Tiwari, M. K.) A note on a theorem of approximation by 
modified Szasz operators. 92f:41027 

Tiwari, M. K. see Singh, Suresh Prasad, 92f:41027 

Videnskii, V.S. Positive linear operators constructed in the Bernstein basis. (Russian) (see 
92i:00016) 

Wa, Zheng Chang Linear combinations of Bernstein operators on a simplex. 92k:41032 

Xu, Ji Hua (with Li, Luo Qing) Converse theorems on approximation by integral type 
Meyer-K@6nig and Zeller operators. 92d:41052 

Yang, Li Hua On an inverse theorem of approximation. (Chinese summary) 92f:41028 


Items with secondary classifications in 41A36 

Abdugapparov, A. A. (with Mukhamedov, M. A.) Order of approximation of functions in a 
Hdlder class by polynomials. (Russian. Uzbek summary) 92¢:41006 

Anastassiou, George A. A discrete stochastic Korovkin theorem. 92g:60048 

— Korovkin inequalities for stochastic processes. 92f:60091 

Badea, C. On a Korovkin-type theorem for simultaneous approximation. 92j:41029 

Chen, Guang Rong (with Wu, Garidi) Approximation of convolution type operators in 
Orlicz spaces. (Chinese. English summary) 92j:42002 

Ciesielski, Z. Asymptotic nonparametric spline density estimation in several variables. 
92i:62067 

Della Vecchia, B. (with Mastroianni, Giuseppe; Totik, Vilmos) Saturation of the Shepard 
operators. 92e:41020 

Khan, Mohammad Kazim Approximation properties of beta operators. 92m:41047 

Li, Luo Qing see Xu, Ji Hua; et al., 92c:41016 

Mastroianni, Giuseppe see Della Vecchia, B.; et al., 92¢e:41020 

Mukhamedov, M. A. see Abdugapparov, A. A., 92c:41006 

Pych-Taberska, Paulina On the rate of pointwise convergence of Szasz-Mirakyan operators. 
92d:41038 

Totik, Vilmos see Della Vecchia, B.; et al., 92e:41020 

Wu, Garidi see Chen, Guang Rong; et al., 92j:42002 

Xu, Ji Hua (with Li, Luo Qing) Converse theorems for approximation by Bernstein- 
Durrmeyer polynomials. 92¢:41016 


41A40 Saturation 


Della Vecchia, B. (with Mastroianni, Giuseppe; Totik, Vilmos) Saturation of the Shepard 
operators. 92¢:41020 

Mastroianni, Giuseppe see Della Vecchia, B.; et al., 92e:41020 

Nishishiraho, Toshihiko Saturation of iterations for approximation processes on Banach 
spaces. 92m:41057 

— Saturation of iterations of multiplier operators in Banach spaces. 92m:41058 

Sheng, Bao Huai Approximation of Meyer-K6nig-Zeller integral type operators in Orlicz 
spaces. (Chinese. English summary) 924:41053 

Totik, Vilmos see Della Vecchia, B.; et al., 92e:41020 


Items with secondary classifications in 41A40 

Jo6, Istvan On Hermite-conjugate function. 92m:33017 

Li, Luo Qing (with Yang, Ru Yue) Approximation of spherical Jackson polynomials. 
(Chinese. English summary) 92h:41016 

Yang, Ru Yue see Li, Luo Qing; et al., 92h:41016 


41A44 Best constants 


Items with secondary classifications in 41A44 

Govil, N. K. Some inequalities for derivatives of polynomials. 92h:41031 

Inoue, Tetsuo A characterization of weighted Chebyshev constant. 92k:41015 

(Ivanov, Kamen G.) see Korneichuk, N. P., 92m:41002 

Korneichuk, N. P. * Exact constants in approximation theory. 92m:41002 

Mills, T. M. (with Smith, Simon J.) The Lebesgue constant for Lagrange interpolation on 
equidistant nodes. 92m:41015 

Saffari, B. Barker sequences and Littlewood’s “two-sided conjectures” on polynomials with 
+1 coefficients. 92i:11032 

Smith, Simon J. see Mills, T. M., 92m:41015 

Tikhomirov, N. B. Extreme values of Lebesgue constants of the interpolational Lagrange 
process. (Russian) (see 92i:00016) 

Wilkins, J. Ernest, Jr. The Landau constants. 92k:41045 





41A45 


41A45 Approximation by arbitrary linear expressions 


Al-Zamel, A. (with Wolfe, J.M.) Best multipoint local Lp approximation. 92a:41014 

Hammer, Peter L. (with Holzman, R.) Approximations of pseudo-Boolean functions; 
applications to game theory. (German summary) 92i:41030 

Hoischen, Lothar Approximation by linear combinations of continuous functions with 
restricted coefficients. 92k:41033 

Holzman, R. see Hammer, Peter L., 92i:41030 

Pan, K.C. (with Shekhtman, Boris) On minimal interpolating projections and trace duality. 
92£:41029 

Shekhtman, Boris see Pan, K. C., 92f:41029 

Wolfe, J. M. see Al-Zamel, A., 92a:41014 


Items with secondary classifications in 41A45 

Lehmann, N. J. Adaptive Approximation und Anwendungen. [Adaptive approximation and 
applications] 92i:41028 

Wronicz, Zygmunt Chebyshevian splines. 92h:41029 


41A46 Approximation by arbitrary nonlinear expressions; widths 
and entropy 


Babenko, V. F. Widths and best quadrature formulas for classes of convolutions. (Russian. 
Ukrainian summary) 92m:41059 

Belinskii, E.S. Estimates for Kolmogorov widths of classes of functions with conditions for 
the mixed difference in the uniform metric. (Russian) 92m:41060 

Borwein, Jonathan M. (with Lewis, Adrian S.) Convergence of best entropy estimates. 
92b:41044 

Chen, Di Rong Optimal recovery and average n-k widths for some function classes in L2(R). 
92m:41061 

Chen, Han Lin On n-widths of periodic functions. 92h:41052 

Conn, Andrew R. (with Li, Yuying) An approach to nonlinear /,, approximation. 
92¢:41025 

DeVore, Ronald A. (with Yu, Xiang Ming) Nonlinear n-widths in Besov spaces. 92¢:41022 

Dinh Dung Reconstruction and one-sided approximation of periodic functions of several 
variables. (Russian) 

Galeev, E. M. Bernstein diameters for the classes of periodic functions of several variables. 
92m:41062 

Lewis, Adrian S. see Borwein, Jonathan M., 92b:41044 

Li, Chun’ Infinite-dimensional widths in function spaces. I. (Chinese) 

Li, Yuying see Conn, Andrew R., 92c:41025 

Magaril-Il’yaev, G.G. Average dimension, widths and optimal recovery of Sobolev classes 
of functions on a straight line. (Russian) 92k:41034 

Osipenko, K. Yu. (with Stesin, M.1I.) Widths of the Hardy class H2 in the n-dimensional 
ball. (Russian) 92a:41015 

Stesin, M.I. see Osipenko, K. Yu., 92a:41015 

Yu, Xiang Ming see DeVore, Ronald A., 92e:41022 


Items with secondary classifications in 41A46 

Babaev, M.-B. A. Approximation of Sobolev classes of functions by sums of products of 
functions of a smaller number of variables. (Russian) 92h:46037 

Carl, Bernd Entropy and n-widths of operators in Banach spaces. 92k:47040 

Chen, Di Rong (with Wu, Yun Hui) Nonlinear approximation for a variation of L. 
(Chinese. English summary) 92c:41031 

DeVore, Ronald A. Degree of nonlinear approximation. 92e:41021 

Dunham, Charles B. (with Zhu, Chang Zhong) Strong uniqueness of nonlinear Chebyshev 
approximation (with interpolation). 92h:41058 

— see also Zhu, Chang Zhong; et al., 92d:41044 and 92k:41041 

Geymonat, Giuseppe (with Oswald, Peter) Some remarks on approximation by finite 
element methods. 92¢:65130 

Tbragimov, I. A. see Khas'minskii, R. Z., 92b:62049 : 

Khas'minskii, R. Z. (with Ibragimov, I. A.) On density estimation in the view of Kol- 
mogorov’s ideas in approximation theory. 92b:62049 

Kochurov, A.S. Absolute widths and cowidths. (Russian) 924:46040 

Muratbekov, M. B. On the smoothness and approximation properties of solutions of a 
nonlinear Dirac system. (Russian. English and Kazakh summaries) 92j:34020 

Nasyrova, Kh. Weak asymptotics of the widths of a surface in the space L2. (Russian) 
924:46093 

Oswald, Peter see Geymonat, Giuseppe, 92c:65130 

Shalaev, V. V. Widths in L2 classes of differentiable functions that can be determined by 
higher-order moduli of continuity. (Russian. Ukrainian summary) 92b:42003 

Stephani, Irmtraud Entropy and the approximation of continuous functions. 92m:41048 

Tikhomirov, V.M. Some remarks on relative diameters. 92b:41059 

(Trzeciak, Jerzy) see Tikhomirov, V. M., 92b:41059 

Wa, Yun Hui see Chen, Di Rong; et al., 92c:41031 

Zhu, Chang Zhong (with Dunham, Charles B.) Discrete one-sided nonlinear L, approxima- 
tion. 924:41044 

— (with Dunham, Charles B.) Upper semicontinuity of local strong unicity constant 
(function) in nonlinear locally best Chebyshev approximation. 92k:41041 

— see also Dunham, Charles B., 92h:41058 


41A50 Best approximation, Chebyshev systems 

Ali, Sayel A. (with Anastassiou, George A.; Shisha, Oved) Discrete best L; approximation 
in the gauges sense. 92b:41045 

Anastassiou, George A. see Ali, Sayel A.; et al., 92b:41045 

Babenko, V. F. (with Shalaev, V. V.) Estimates of best approximation that follow from the 
Chebyshev criterion. (Russian) 

Bahadur, Lal (with Soni, D.C.) Metric projection “x” and “q”. 92c:41026 

Blatter, Jérg (with Fischer, Thomas) Unique continuous selections for metric projections 
of C(X) onto finite-dimensional vector subspaces. II. 92j:41036 


APPROXIMATIONS AND EXPANSIONS 


Bolshakova, L. V. see Daugavet, V. A.; et al., 92h:41053 

Carbone, Antonio (with Conti, Giuseppe) Multivalued maps and the existence of best 
approximants. 92¢:41027 

Conti, Giuseppe see Carbone, Antonio, 92c:41027 

Daugavet, V. A. (with Bol’shakova, L. V.; Gladkevich, I. K.) One-point and infinite 
alternations in the simplest problem of ZIl-approximation. (Russian. English summary) 
92h:41053 

Davydov, O. V. Best uniform approximation of periodic functions by splines. (Russian) 
92m:41063 

Detaille, C. see Thiran, J.-P., 92k:41036 

Deutsch, Frank (with Li, Wu) Strong uniqueness, Lipschitz continuity, and continuous 
selections for metric projections in L,. 92h:41054 

Dunham, Charles B. see Zhu, Chang Zhong, 92k:41038 

Fang, Gen Sun (with Huang, Da Ren) Optimal recovery on convolution classes of periodic 
functions. 92j:41037 

Faro Rivas, Ricardo Approximation of symmetric convex bodies by polynomial bodies. I. 
Existence theorems. 92i:41031 

— Approximation of symmetric convex bodies by polynomial bodies. II. Uniqueness and 
contact theorems in width and radius cases. 92i:41032 

— Approximation of symmetric convex bodies by polynomial bodies. III. Area case. 
92i:41033 

Fischer, Bernd (with Freund, Roland W.) On the constrained Chebyshev approximation 
problem on ellipses. 92f:41030 

— (with Freund, Roland W.) Chebyshev polynomials are not always optimal. 92d:41054 

Fischer, Thomas see Blatter, Jorg, 92j:41036 

Freund, Roland W. see Fischer, Bernd, 92d:41054 and 92£:41030 

Garkavi, A. L. Algebraic and geometric components of Chebyshev rank of a system of 
vector-valued functions. (Russian) 92d:41055 

Gladkevich, I. K. see Daugavet, V. A.; et al., 92h:41053 

Huang, Da Ren see Fang, Gen Sun; et al., 92j:41037 

Kolosov, A. E. On the best approximation of points by planes. (Russian) 

Kro6, Andras (with Peherstorfer, Franz) On the distribution of extremal points of general 
Chebyshev polynomials. 92j:41038 

Lapidot, Eitan (with Lewis, James T.) Best approximation using a peak norm. 92h:41055 

Lewis, James T. see Lapidot, Eitan, 92h:41055 

Li, Wu see Deutsch, Frank, 92h:41054 

Lim, Teck Cheong (with Smarzewski, Ryszard) On best approximation and coapproxima- 
tion in Lp spaces. 92f:41031 

Lin, Xu Dong Ona conjecture of Hasson. 92i:41034 

Ma, Zhi Wei? Some problems on a variation of L; approximation. 92g:41031 

Mabizela, Sizwe The relationship between Lipschitz extensions, best approximations, and 
continuous selections. 92i:41035 

Narang, T. D. On some approximation problems in metric spaces. 92b:41046 

Nikol'skii, M.S. On the approximation of set-valued mappings in a uniform (Chebyshev) 
metric. 92k:41035 

Peherstorfer, Franz Orthogonal and Chebyshev polynomials on two intervals. 92i:41036 

— see also Kroé, Andras, 92j:41038 

Rivlin, Theodore J. * Chebyshev polynomials. 92a:41016 

Shalaev, V. V. see Babenko, V. F. 

Shi, Ying Guang The Chebyshev theory of a variation of L approximation. 92h:41056 

Shisha, Oved see Ali, Sayel A.; et al., 92b:41045 

Smarzewski, Ryszard see Lim, Teck Cheong, 92f:41031 

Soni, D.C. see Bahadur, Lal, 92c:41026 

Su, Xiao Ye Convexity in best L2 local approximation. 92g:41032 

Swetits, J. J. (with Weinstein, S. E.; Xu, Yuesheng) Best Lp-approximation with multiple 
constraints for 1 < p < co. 92¢:41028 

Thiran, J.-P. (with Detaille, C.) Chebyshev polynomials on circular arcs in the complex 
plane. 92k:41036 

Ubhaya, Vasant A. (with Weinstein, S. E.; Xu, Yuesheng) Best piecewise monotone 
uniform approximation. 92f:41032 

Vasilenko, V. A. The best finite-dimensional LI]-approximations. 92i:41037 

Verdiev, V.G. Estimation of the maximal and minimal divergence of neighboring points of 
Chebyshev alternance. (Russian) 92c:41029 

Vijayaraju, Palaniappan Application of a fixed point theorem to best approximation. 
92k:41037 

Weinstein, S. E. (with Xu, Yuesheng) A duality approach to best uniform convex 
approximation. 92j:41039 

— see also Swetits, J. J.; et al., 92c:41028 and Ubhaya, Vasant A.,; et al., 92f:41032 

Xu, Yuesheng see Swetits, J. J.; et al., 92c:41028; Ubhaya, Vasant A.; et al., 92f:41032 and 
Weinstein, S. E., 92j:41039 

Zalik, R. A. Integral representation of Markov systems and the existence of adjoined 
functions for Haar spaces. 92h:41057 

— (with Zwick, D.) Some properties of Markov systems. 92m:41064 

Zhu, Chang Zhong (with Dunham, Charles B.) Nonlinear Chebyshev approximation with 
varying functions, domains and constraints. 92k:41038 

Zwick, D. Uniform approximation by harmonic and subharmonic functions. 92¢:41030 

— see also Zalik, R. A., 92m:41064 


Items with secondary classifications in 41A50 

Ainulloev, N. An estimate of best approximations of functions in terms of their moduli of 
continuity in Lz. (Russian. Tajiki summary) 

Al-Zamel, A. (with Wolfe, J.M.) Best multipoint local L, approximation. 92a:41014 

Bartelt, Martin (with Kaufman, Edwin H., Jr.; Swetits, J. J.) Uniform Lipschitz constants 
in Chebyshev polynomial approximation. 92a:41017 

Beer, Gerald A. (with Lucchetti, Roberto) Convex optimization and the epi-distance 
topology. 92a:49018 

Borwein, Peter B. Zeros of Chebyshev polynomials in Markov systems. 92a:41002 

Breuer, Kenneth S. (with Everson, Richard M.) On the errors incurred calculating 
derivatives using Chebyshev polynomials. 92k:65030 





1992 


Chen, Di Rong (with Wu, Yun Hui) Nonlinear approximation for a variation of L. 
(Chinese. English summary) 92¢:41031 

Das, Partha Pratim Best simple octagonal distances in digital geometry. 92m:68119 

Davydov, O. V. Conditions for the uniqueness of a spline of best approximation, and the 
best linear method for the class H®. (Russian) 92g:41012 

Deeb, W. (with Khalil, Roshdi) Best approximation in function and operator spaces. 
92a:47020 

Dubeau, Francois Uniform partition and the best least-squares piecewise polynomial 
approximation. 92h:41021 

Dunham, Charles B. (with Zhu, Chang Zhong) Strong uniqueness of nonlinear Chebyshev 
approximation (with interpolation). 92h:41058 

— Exhibiting nonuniqueness of best approximations with application to powered rationals 
and powered products. 92k:41039 

— see also Zhu, Chang Zhong, 92k:41041 

Egger, A. (with Huotari, Robert) Pélya properties in sequence spaces. 92j:41043 

Elliott, David (with Taylor, Peter John') Polynomial approximation errors for functions of 
low-order continuity. 92j:41015 

Everson, Richard M. see Breuer, Kenneth S., 92k:65030 

Fiedler, Heinz (with Jurkat, W.B.) Best L'-approximation by polynomials. I]. 92b:41011 

Golub, A. P. Generalized moment representations and Padé-Chebyshev approximations. 
(Russian. Ukrainian summary) 92i:41021 

Guo, Yuan Ming Strongly unique Chebyshev centers. (Chinese. English summary) 
92f:41035 

(Hasson, Maurice) see Zhou, Song Ping, 92m:41049 

Huotari, Robert see Egger, A., 92j:41043 

Jassim, S. K. Best onesided approximation with algebraic polynomials. 92c:41019 

Jha, Sripati (with Mishra, B. N.) A constructive approach to certain problems in approxi- 
mation theory. 92f:41033 

Jurkat, W. B. see Fiedler, Heinz, 92b:41011 

Kaufman, Edwin H., Jr. see Bartelt, Martin; et al., 92a:41017 

Khalil, Roshdi see Deeb, W., 92a:47020 

Khvostov, A. P. Generalization of two theorems on the set of polynomials of best approxi- 
mation for some continuous functions of two variables. (Russian) (see 92d:35003) 

— Formulas that express polynomials of best approximation of fixed orders for some forms 
of functions of two variables. (Russian) (see 92d:28002) 

Theodore Optimal interpolation with exponentially weighted polynomials on an 

unbounded interval. 92k:41004 

Kilmer, Shelby J. (with Kozlowski, Wojciech M.; Lewicki, Grzegorz) Best approximants in 
modular function spaces. 92¢:46030 

Kirk, W. A. (with Massa, Silvio) Remarks on asymptotic and Chebyshev centers. 
92b:41052 

Kitahara, Kazuaki (with Tanaka, Katsumi”) A two decomposition of a bounded metric 
space. 92b:41053 

Koziowski, Wojciech M. see Kilmer, Shelby J.; et al., 92c:46030 

Lang, Patrick see Teets, Donald, 92g:30038 

Leng, Wen Hao Modified rational L; approximation. (Chinese. English summary) 
92b:41032 

Lewicki, Grzegorz see Kilmer, Shelby J.; et al., 92c:46030 

Lim, Teck Cheong On some L? inequalities in best approximation theory. 92d:41029 

Lin, Tzu-Chu Best approximations and fixed points. 92d:47076 

Liu, Rui Zhen Best approximation in the abstract function space L;(T, u, X). (Chinese. 
English summary) 

Lucchetti, Roberto see Beer, Gerald A., 92a:49018 

Luquin Martinez, Francisco On the existence and uniqueness of best approximations by 
polynomials with integral coefficients. (Spanish) (see 92g:00024) 

Massa, Silvio see Kirk, W. A., 92b:41052 

Mathsen, Ronald M. (with Ubhaya, Vasant A.) Generalized convex functions and best L, 
approximation. 92f:26019 

Mishra, B. N. see Jha, Sripati, 92f:41033 

Papadimitrakis, M. Best uniform approximation by bounded analytic functions. (French 
summary) 92j:30029 

Peherstorfer, Franz On Bernstein-Szegé orthogonal polynomials on several intervals. II. 
Orthogonal polynomials with periodic recurrence coefficients. 92a:42031 

Petras, Knut On the minimal norms of polynomial projections. 92b:41014 

Rakhmetov, N. K. On the uniqueness of a polynomial of best approximation in the classes 
g(L).(Russian) 92¢:41032 

Ruttan, Arden see Varga, Richard S., (92g:41001) 

Sahab, Salem M. A. Convergence of best simultaneous approximants. 92j:41030 

Sejeeni, Fowzi Ahmad Approximation in function modules. 92b:41057 

Sikhov, M. B. On the embedding E,(A) c He".(Russian) 92g:46030 

Swetits, J. J. see Bartelt, Martin; et al., 92a:41017 

Taberski, Roman Partial exponential approximation. 92j:41046 

Tanaka, Katsumi’ see Kitahara, Kazuaki, 92b:41053 

Taylor, Peter John' see Elliott, David, 92j:41015 

Teets, Donald (with Lang, Patrick) Extended Markoff systems in the complex field. 
92g:30038 

Timoshin, O. A. Approximation of differential polynomials on classes of vector functions. 
(Russian) 92m:41054 

Ubhaya, Vasant A. Duality and Lipschitzian selections in best approximation from 
ronconvex cones. 92b:41060 

— see also Mathsen, Ronald M.., 92£:26019 

Ugulava, D. K. see Zarnadze, D. N., 92m:41070 

Varga, Richard S. (with Ruttan, Arden) Real vs. complex best rational approximation. (see 
92g:41001) 

Vesely, Libor Metric projections after renorming. 92h:41072 

Wetterling, Wolfgang Application of Chebyshev approximation to curve fitting. 

Wilson, J. Michael (with Zwick, D.) Best approximation by subharmonic functions. 
92g:41028 

Wolfe, J. M. see Al-Zamel, A., 92a:41014 

Wa, Yun Hui see Chen, Di Rong; et al., 92c:41031 


APPROXIMATIONS AND EXPANSIONS 


Yudin, A. A. (with Yudin, V. A.) Jackson theorems in L2. (Russian) 92h:41033 

Yudin, V. A. see Yudin, A. A., 92h:41033 

Zarnadze, D.N. (with Ugulava, D. K.) Best approximations of functions on open intervals. 
(Russian) 92m:41070 

Zhong, Le Fan Interpolation polynomial approximation in Bergman spaces. (Chinese) 
92j:30038 

Zhou, Song Ping A note on a paper of M. Hasson: “Comparison between the degrees of 
approximation by lacunary and ordinary algebraic polynomials” [J. Approx. Theory 29 
(1980), no. 2, 103-115; MR 82f:41012]. 92m:41049 

Zhu, Chang Zhong (with Dunham, Charles B.) Upper semicontinuity of local strong unicity 
constant (function) in nonlinear locally best Chebyshev approximation. 92k:41041 

— see also Dunham, Charles B., 92h:41058 

Zwick, D. see Wilson, J. Michael, 92g:41028 


41A52 Uniqueness of best approximation 


Bartelt, Martin (with Kaufman, Edwin H., Jr.; Swetits, J. J.) Uniform Lipschitz constants 
in Chebyshev polynomial approximation. 92a:41017 

Chen, Di Rong (with Wu, Yun Hui) Nonlinear approximation for a variation of L. 
(Chinese. English summary) 92c:41031 

Dunham, Charles B. (with Zhu, Chang Zhong) Strong uniqueness of nonlinear Chebyshev 
approximation (with interpolation). 92h:41058 

— Exhibiting nonuniqueness of best approximations with application to powered rationals 
and powered products. 92k:41039 

— see also Zhu, Chang Zhong, 92k:41041 

Sha, Sripati (with Mishra, B. N.) A constructive approach to certain problems in approxi- 
mation theory. 92f:41033 

Kaufman, Edwin H., Jr. see Bartelt, Martin; et al., 92a:41017 

Kitahara, Kazuaki Best L'-approximations. 92k:41040 

Malozémova, L. K. On the strong uniqueness constant in a discrete problem of best 
approximation in the mean. (Russian. English summary) 92h:41059 

Mishra, B. N. see Jha, Sripati, 92f:41033 

Rakhmetov, N. K. On the uniqueness of a polynomial of best approximation in the classes 
g(L). (Russian) 92¢:41032 

— Uniqueness of the element of best approximation in some function spaces. (Russian) 
92d:41056 

— Finite-dimensional Chebyshev subspaces in spaces with an integral metric. (Russian) 
92m:41065 

Swetits, J. J. see Bartelt, Martin; et al., 92a:41017 

Wa, Yun Hui see Chen, Di Rong; et al., 92c:41031 

Zhu, Chang Zhong (with Dunham, Charles B.) Upper semicontinuity of local strong unicity 
constant (function) in nonlinear locally best Chebyshev approximation. 92k:41041 

— see also Dunham, Charles B., 92h:41058 


Items with secondary classifications in 41A52 

Blatter, Jorg (with Fischer, Thomas) Unique continuous selections for metric projections 
of C(X) onto finite-dimensional vector subspaces. II. 92j:41036 

Faro Rivas, Ricardo Approximation of symmetric convex bodies by polynomial bodies. I. 
Existence theorems. 92i:41031 

— Approximation of symmetric convex bodies by polynomial bodies. II. Uniqueness and 
contact theorems in width and radius cases. 92i:41032 

— Approximation of symmetric convex bodies by polynomial bodies. III. Area case. 
92i:41033 

Fischer, Thomas On the duality of a nonconvex optimization problem and the strong 
unicity constant in linear Chebyshev approximation. 92k:49071 

— see also Blatter, Jorg, 92j:41036 

Guo, Yuan Ming Strongly unique Chebyshev centers. (Chinese. English summary) 
92£:41035 

Kamuntavitius, Darius Category properties of a set of nonuniqueness points in the space L,. 
(Russian) 92b:46032 

Kro6, Andras (with Schmidt, Darrell) A Haar-type theory of best L;-approximation with 
constraints. 92g:41027 

Li, Chong Restricted approximations in normed linear spaces and their applications. 
(Chinese. English summary) 92b:41054 

Ma, Zhi Wei? (with Shi, Ying Guang) A variation of rational L; approximation. 
92d:41032 

— Some problems on a variation of L; approximation. 92g:41031 

Schmidt, Darrell see Kroé, Andras, 92g:41027 

Shi, Ying Guang see Ma, Zhi Wei”, 92d:41032 


41A55 Approximate quadratures 


Bedel’baeva, L. E. Optimal quadrature formulas on a weighted Sobolev class. (Russian. 
English and Kazakh summaries) 92i:41038 

Boikov, I. V. Asymptotically optimal cubature formulas for calculating multidimensional 
singular integrals. (Russian) 92j:41040 

Ciesielski, Z. Numerical integration with weights of convex functions of algebraic 
polynomials. 92e:41023 

Dryanov, Dimiter P. (with Jia, Rong Qing; Sharma, Ambikeshwar) Quadrature formulae 
with Birkhoff-type data on equidistant nodes for 22-periodic functions. 92h:41060 

— Quadrature formulae for entire functions with 2-periodic data. 92k:41042 

Engels, Hermann (with Ley-Knieper, Barbara; Schwelm, Richard) Kronrod-Erweiterungen 
Wilfscher Quadraturformein. (English summary) [Kronrod extensions of Wilf quadrature 
formulas] 92i:41039 

Fang, Gen Sun see Huang, Da Ren; et al., 92e:41024 

Gaifullina, L. P. see Kas‘yanov, V. 1., (92¢:00010) 

Ghelardoni, Paolo (with Guerra, Sergio) On a quadrature formula associated with the local 
calculus of elementary functions. (Italian. English summary) 92g:41033 

Guerra, Sergio see Ghelardoni, Paolo, 92g:41033 





41A55 


Huang, Da Ren (with Fang, Gen Sun) Uniqueness of optimal quadrature formulas for W.” 
and the fundamental theorem of algebra for periodic monosplines. 92¢:41024 

Jia, Rong Qing see Dryanov, Dimiter P.; et al., 92h:41060 

Kas'‘yanov, V. I. (with Gaifullina, L. P.) Quadrature formulas for integrals of Cauchy type 
on the real axis. (Russian) (see 92e:00010) 

Lev, V. F. Quadrature formulas for classes with constraints on Fourier coefficients. 
(Russian) 

Ley-Knieper, Barbara see Engels, Hermann; et al., 92i:41039 

Mills, T. M. (with Smith, Simon J.) A note on the Newton-Cotes integration formula. 
92d:41057 

Muntean, Ioan Unbounded divergence of simple quadrature formulas. 92k:41043 

Mynbaev, K. T. Optimal quadrature formulas for functions from weight class. (Russian) 
92h:41061 

Novak, Erich Quadrature formulas for monotone functions. 92h:41062 

Osipenko, K. Yu. Recovery methods that are the best and optimal on classes of harmonic 
funciions. (Russian) 92k:41044 

Schwelm, Richard see Engels, Hermann; et al., 92i:41039 

Sharma, Ambikeshwar see Dryanov, Dimiter P.; et al., 92h:41060 

Smith, H. V. A class of quadrature formulae. 92b:41047 

Smith, Simon J. see Mills, T. M., 92d:41057 


Items with secondary classifications in 41A55 

Babenko, V. F. Widths and best quadrature formulas for classes of convolutions. (Russian. 
Ukrainian summary) 92m:41059 

Behforooz, G. Approximation of Cauchy principal value integrals by piecewise Hermite 
quartic polynomials by spline. 

Bernardi, Christine (with Maday, Yvon) Some spectral approximations of one-dimensional 
fourth-order problems. 92j:65176 

Bocharova, L. P. (with Van’kova, V. S.; Dobrovol’skii, N. M.) Calculation of optimal 
coefficients in multidimensional integrals. (Russian) 92b:65022 

Bregman, M. L. Numerical integration by means of splines. (Russian) (see 92i:00016) 


Daugavet, I. K. A class of cubature formulas for domains with a smooth boundary. (Russian. 


English summary) 92h:65037 

Della Vecchia, B. Some properties of a rational operator of Bernstein-type. 92d:41050 

Dobrovol’skii, N. M. see Bocharova, L. P.; et al., 92b:65022 

Forster, Klaus-Jiirgen (with Petras, Knut) Error estimates in Gaussian quadrature for 
functions of bounded variation. 92a:65077 

Gautschi, Walter Spline approximation and quadrature formulae. 92i:65030 

— Quadrature formulae on half-infinite intervals. 92h:65038 

— (with Li, Shikang) Gauss-Radau and Gauss-Lobatto quadratures with double end points. 
92c:65032 

Gori Nicolo-Amati, Laura (with Santi, Elisabetta) On the convergence of quasi-Gaussian 
functionals. 92g:65028 

— The Posse-Markov-Stieltjes inequality for Turan type quadrature sums. 92g:65029 

Kohler, Peter On a generalization of compound Newton-Cotes quadrature formulas. 
92:65036 

Kotov, M. N. A regularizing quadrature formula for typical divergent integrals of the Green 
function method. (Russian) 92a:65079 

Li, Shikang see Gautschi, Walter, 92c:65032 

Maday, Yvon see Bernardi, Christine, 92j:65176 

Nessel, R. J. (with van Wickeren, E.) On counterexamples in multivariate approximation. 
92b:41013 

Petras, Knut see Forster, Klaus-Jiirgen, 92a:65077 

Pifiar, M. A. (with Ramirez, V.) Reproducing kernels for lacunary functionals. (Spanish. 
English summary) 92f:42032 

Rabinowitz, Philip Product integration of singular integrands using Hermite-Fejér 
interpolation. 92i:65051 

Ramirez, V. see Pinar, M. A., 92f:42032 

Rasputin, G.G. Cubature formulas with a minimal number of nodes for a centrally- 
symmetric n-dimensional integral. (Russian) 92b:65024 

Reztsov, A. V. An estimate for the number of nodes of cubature formulas of Gaussian type. 
(Russian) 92a:65082 

Santi, Elisabetta see Gori Nicolo-Amati, Laura, 92g:65028 

Temlyakov, V. N. Universal cubature formulas. (Russian) 92¢:65030 

Van’kova, V.S. see Bocharova, L. P.; et al., 92b:65022 

Vishnevskii, A. V. Interval quadrature formulas for singular integrals. (Russian) (see 
92e:00010) 

Wagner, Gerold On averaging sets. 92¢:65031 

Wang, Jian Zhong” Approximation of singular integrals by interpolating splines. 92f:65033 

van Wickeren, E. see Nessel, R. J., 92b:41013 

Zayed, Ahmed I. On sampling theorems and the Gauss-Jacobi mechanical quadrature. 
92k:41012 


41A58 Series expansions (e.g. Taylor, Lidstone series, but not 
Fourier series) 


Campos, L. M. B.C. On generalizations of the series of Taylor, Lagrange, Laurent and 
Teixeira. 92a:41018 

Nashed, M. Zuhair (with Walter, Gilbert G.) General sampling theorems for functions in 
reproducing kernel Hilbert spaces. 92h:41063 

Walter, Gilbert G. see Nashed, M. Zuhair, 92h:41063 


Items with secondary classifications in 41A58 

Ceder, Jack G. (with Humke, Paul D.) On series representation of functions. 92e:26005 

Chui, Charles K. (with Stéckler, Joachim; Ward, Joseph D.) A Faber series approach to 
cardinal interpolation. 92¢:41001 

Golightly, George O. Absolutely convergent Lidstone series. II. 92h:30006 

Humke, Paul D. see Ceder, Jack G., 92e:26005 

Klusch, Dieter The sampling theorem, Dirichlet series and Bessel functions. 92i:41004 


APPROXIMATIONS AND EXPANSIONS 1992 676 


Lyubarskii, Yu. I. Properties of systems of linear combinations of powers. (Russian) 
92a:42044 

Makila, Pertti M. Laguerre series approximation of infinite-dimensional systems. 
92b:93040 

Stéckler, Joachim see Chui, Charles K.; et al., 92e:41001 

Stone, Alexander P. Power series expansions for trigonometric functions via solutions to 
initial value problems. 92j:33004 

Ward, Joseph D. see Chui, Charles K.; et al., 92e:41001 


41A60 Asymptotic approximations, asymptotic expansions 
(steepest descent, etc.) [see also 30E15] 


Berg, Lothar Asymptotic expansions of a special integral. 

Berry, Michael Victor Stokes’s phenomenon for superfactorial asymptotic series. 92i:41040 

— (with Howls, C. J.) Hyperasymptotics for integrals with saddles. 92j:41041 

Boersma, J. (with Glasser, M. L.) Asymptotic expansion of a class of Fermi-Dirac integrals. 
92b:41048 

(Brychkov, Yu. A.) see Olver, F. W. J., 92b:41050 

Chu, Wen Chang see Xu, Li Zhi, 92g:41038 

DeTemple, Duane W. (with Wang, Shun-Hwa) Half integer approximations for the partial 
sums of the harmonic series. 92j:41042 

Glasser, M. L. see Boersma, J., 92b:41048 

Gopala Krishna, J. (with Usha Sree Devi, S.) Nonstandard methods in asymptotic analysis. 
92¢:41025 

Howls, C. J. see Berry, Michael Victor, 92j:41041 

Kalla, Shyam L. see Steinacker, Ulrike; et al., 92g:41037 

Kudryavtsev, S. N. Asymptotic behavior at infinity of the zeros of a function when it is 
perturbed. (Russian) 92a:41019 

Leubner, C. see Steinacker, Ulrike; et al., 92g:41037 

Marsaglia, George (with Marsaglia, John C. W.) A new derivation of Stirling’s approxima- 
tion to n!. 92b:41049 

Marsaglia, John C. W. see Marsaglia, George, 92b:41049 

McClure, J. P. (with Wong, Roderick) Asymptotic expansion of a quadruple integral 
involving a Bessel function. 924:41058 

Olver, F. W. J. *& AcumnToTuka H CneljHanbHbie dbyHkuun. (Russian) [Asymptotics and 
special functions] 92b:41050 

— Uniform, exponentially improved, asymptotic expansions for the generalized exponential 
integral. 92g:41034 

— Uniform, exponentially improved, asymptotic expansions for the confluent hypergeomet- 
ric function and other integral transforms. 92g:41035 

Paris, R. B. The asymptotic behaviour of Pearcey’s integral for complex variables. 
92h:41064 

(Prudnikov, A. P.) see Olver, F. W. J., 92b:41050 

Soni, K. (with Soni, R. P.) An approximation connected with the exponential function. 
92g:41036 

Soni, R. P. see Soni, K., 92g:41036 

Spigler, Renato (with Vianello, Marco) Improved estimates for the derivatives of the O- 
symbols in view of numerical applications. 92m:41066 

Steinacker, Ulrike (with Leubner, C.; Kalla, Shyam L.) Uniform asymptotic expansions 
of a class of integrals with finite endpoints of integration on the same path of steepest 
descent and with nearby saddle points. 92g:41037 

Usha Sree Devi, S. see Gopala Krishna, J., 92e:41025 

Vianello, Marco see Spigler, Renato, 92m:41066 

Wang, Shun-Hwa see DeTemple, Duane W., 92j:41042 

Wilkins, J. Ernest, Jr. The Landau constants. 92k:41045 

Wong, Roderick see McClure, J. P., 92d:41058 

Xu, Li Zhi (with Chu, Wen Chang) A kind of asymptotic expansion using partitions. 
92g:41038 

Yulmukhametov, R.S. Asymptotics of the multidimensional Laplace integral. (Russian) (see 
92£:00019) 


Items with secondary classifications in 41A60 


Adamovi¢, DuSan D. Corrections and supplements of some details in two former papers: 
“Solutions of two functional equations that are close to the Cauchy equation” [Mat. 
Vesnik 9(24) (1972), 19-22; MR 48 #11827] and “An identity and asymptotic behaviour 
of some sequences” [Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 544-576 
(1976), 149-154; MR 56 #6235]. 

Barrios, Javier A. see Betancor, Jorge Juan, (92b:00044) 

Berg, Lothar Asymptotic properties of the solutions of the translation equation. 92h:39009 

Berry, Michael Victor Infinitely many Stokes smoothings in the gamma function. 
92h:33002 

Betancor, Jorge Juan (with Barrios, Javier A.) Asymptotic behaviors for Wright’s integral 
transform. (Spanish. English summary) (see 92b:00044) 

Buyarov, V.S. Logarithmic asymptotics of polynomials that are orthogonal on the real axis. 
(Russian) 92k:42033 

Carpenter, Amos J. (with Varga, Richard S.; Waldvogel, Jorg) Asymptotics for the zeros of 
the partial sums of e?. I. 92m:33003 

Chen, Ze Peng see Huang, You Qian; et al., 924:65045 

Deift, Percy (with Zhou, Xin) A steepest descent method for oscillatory Riemann-Hilbert 
problems. 92g:35171 

Dinges, Hermann Asymptotic Laplace-transforms. (see 92i:60002) 

Divis, Zita Asymptotic behavior of beta transform of a singular function. 92m:33005 

Drozhzhinov, Yu. N. see Viadimirov, V. S.; et al., 92m:46058 

Eke, Anthony N. Asymptotic representations for Airy functions. 92d:33006 

Elbert, Arpad An approximation for the zeros of Bessel functions. 92h:33008 

Frenzen, C. L. Error bounds via complete monotonicity for a uniform asymptotic expansion 
of the Legendre function P;”(cosh z). 92b:33018 

Gao, Xie Ping Asymptotic expansion of quartic Hermite-Birkhoff interpolation cardinal 
splines. (Chinese. English summary) 





677 1992 


Gawronski, Wolfgang (with Shawyer, Bruce) Strong asymptotics and the limit distribution 
of the zeros of Jacobi polynomials P(@"*™"*?)_ 923:33019 

Golubov, B. I. Convergence and asymptotic expansion of singular integrals. (Russian) (see 
92i:00028a) 

Grosjean, Carl Clement An Euler-MacLaurin type asymptotic series expansion of the sum of 
TIS(-1)"/Inn. 92665012 

Andreas Asymptotische Entwicklungen fiir unvollstandige Gammafunktionen. 

(English summary) [Asymptotic expansions for incomplete gamma functions] 92b:33002 

Holvorcem, Paulo R. Asymptotic summation of Hermite series. 92k:65009 

Hu, Cheng Lie An extension of the Euler-Maclaurin expansion formula. (Chinese. English 
summary) 92¢:65026 

Huang, You Qian (with Chen, Ze Peng) Asymptotic expansion of Gaussian integration 
formulas with weight function equal to 1. (Chinese. English summary) 924:65045 

Jiang, Feng Asymptotic evaluation of three-dimensional wave packets in parallel flows. 
92a:76037 

Kobayashi, Kazuya Plane wave diffraction by a strip: exact and asymptotic solutions. 
92i:78015 

Komarov, L. 1. (with Romanova, T. S.; Solodukhin, A.M.) Generalized spherical functions 
in vector parametrization and their quasiclassical asymptotics. (Russian. English 
summary) 92b:33031 

MacDonald, Duncan Anthony The zeros of J? (6) — Jo(¢)J2(¢) = 0 with an application to 
swirling flow in a tube. 92g:33005 

Mills, T. M. (with Smith, Simon J.) On the Lebesgue function for Lagrange interpolation 
with equidistant nodes. 92k:41007 

Moroz, Alexander Novel summability methods generalizing the Borel method. 92b:81038 

Naylor, Derek On an asymptotic expansion of the Kontorovich-Lebedev transform. 
92d:44007 

Ng, Kin-Chung The nonlinear caustic. 92i:78019 

Nikoli¢-Despotovi¢é, Danica (with Pilipovié, Stevan) Quasiasymptotic expansions and the 
Stieltjes transformation. (Serbo-Croatian summary) 92k:44004 

Odlyzko, Andrew M. (with Wilf, Herbert S.) Functional iteration and the Josephus 
problem. 92g:05006 

O’Malley, Robert E., Jr. Singular perturbations, asymptotic evaluation of integrals, and 
computational challenges. (see 92b:00035) 

Pilipovi¢, Stevan see Nikoli¢é-Despotovi¢, Danica, 92k:44004 

Reshetnyak, Yu. G. On an asymptotical structure of a convex function [translation of Trudy 
Inst. Mat. (Novosibirsk) 21 (1991), to appear]. 92k:26014 

Riedel, Roland Zur K genzbeschleunigung von Reihen mit logarithmischer Konver- 
genz. (English and Russian summaries) [On the acceleration of convergence for series 
with logarithmic convergence] 92d:65012 

Romanova, T.S. see Komarov, L. 1.; et al., 92b:33031 

Schell, H.-J. Asymptotische Entwicklungen der konfluenten hypergeometrischen Funktio- 
nen U(a, b, z) und M(a, b, z) fiir groBe Werte von b und z. (English and Russian sum- 
maries) [Asymptotic expansions of the confluent hypergeometric functions U(a, b, z) and 
M(a, b, z) for large values of b and z] 92j:31014 

Shatalov, V. E. see Sternin, B. Yu., 92i:32040 

Shawyer, Bruce see Gawronski, Wolfgang, 92j:33019 

Smith, Simon J. see Mills, T. M., 92k:41007 

Solodukhin, A.M. see Komarov, L. 1; et al., 92b:33031 

Stahl, Herbert (with Totik, Vilmos) nth root asymptotic behavior of orthonormal 
polynomials. 92g:42015 

Sternin, B. Yu. (with Shatalov, V. E.) A formula for the asymptotic expansion of an integral 
in complex analysis. (Russian) 92i:32040 

Totik, Vilmos see Stahl, Herbert, 92g:42015 

Varga, Richard S. see Carpenter, Amos J.; et al., 92m:33003 

Viadimirov, V.S. (with Drozhzhinov, Yu. N.; Zav‘yalov, B. I.) Tauberian theorems for 
distributions. 92m:46058 

Wagner, Eberhard Eine asymptotische Entwicklung von I'(z + a)/I'(z + B) fiir |z| — oo und 
unbeschrankte a, 8. [An asymptotic expansion of I'(z + a)/I'(z + £) for |z| — oo and 
unbounded a, 8] 92c:33001 

— Asymptotische Entwicklungen der GauBschen hypergeometrischen Funktion fiir 
unbeschrankte Parameter. (English and Russian summaries) [Asymptotic expansions of 
the Gaussian hypergeometric function for unbounded parameters] 92k:33003 

Waldvogel, Jorg see Carpenter, Amos J.; et al., 92m:33003 

Walz, Guido Asymptotic expansions and acceleration of convergence for higher order 
iteration processes. 92k:65007 

Wen, Gen Wang The steepest descent approximation theory for the study on the boundary 
value problem in physics. (Chinese. English summary) 

Wilf, Herbert S. see Odlyzko, Andrew M., 92g:05006 

Wilson, James A. Asymptotics for the 4F; polynomials. 924:33024 

Wu, Zheng Chang Linear combinations of Bernstein operators on a simplex. 92k:41032 

Zabolotskaya, A. F. * O metoze cxopeftmero cnycxa. (Russian) [The method of steepest 
descent] 92a:65013 

Zahar, R. V. M. A generalization of Olver’s algorithm for linear difference systems. 
92¢:39016 

Zav'yalov, B.1. see Viadimirov, V. S.; et al., 92m:46058 

Zhou, Xin see Deift, Percy, 92g:35171 





41A63 Multidimensional problems (should also be assigned at 
least one other classification number in this section) 


Liu, Jin Hua On interpolation with the S!(A{),) spaces. (Chinese. English summary) 

Piper, Bruce see Roulier, John; et al., (92g:41001) 

Rando, Thomas see Roulier, John; et al., (92g:41001) 

Roulier, John (with Rando, Thomas; Piper, Bruce) Fairness and monotone curvature. (see 
92g:41001) 


Items with secondary classifications in 41A63 
Aniol, G. (with Pych-Taberska, Paulina) On the rate of convergence of the Durrmeyer 


APPROXIMATIONS AND EXPANSIONS 


41A63 


polynomials. 92m:41021 

Bardaro, Carlo (with Vinti, Gianluca) On approximation properties of certain nonconvolu- 
tion integral operators. 92¢:41016 

Baszenski, Ginter (with Delvos, Franz-Jiirgen) Boolean algebra and multivariate 
interpolation. 92f:41003 

Billera, Louis J. (with Haas, Ruth) The dimension and bases of divergence-free splines; a 
homological approach. 92m:41027 

— (with Rose, Lauren L.) A dimension series for multivariate splines. 92g:41010 

de Boor, Carl (with Ron, Amos) Computational aspects of polynomial interpolation in 
several variables. 92i:65022 

Bultheel, Adhemar see Van Barel, Marc, 92b:41034 

Carlson, B.C. B-splines, hypergeometric functions, and Dirichlet averages. 92h:41020 

Chui, Charles K. * Multivariate splines. 92e:41009 

Delvos, Franz-Jiirgen (with Schempp, Walter) Interpolation projectors and closed ideals. 
92¢e:41003 

— see also Baszenski, Ginter, 92f:41003 

Deslauriers, Gilles (with Dubois, Jacques; Dubuc, Serge) Multidimensional iterative 
interpolation. 92g:41003 

(Diamond, Harvey) see Chui, Charles K., 92e:41009 

Dinh Dung Reconstruction and one-sided approximation of periodic functions of several 
variables. (Russian) 

Donchev, Tzanko Donchev (with Farkhi, Elza M.) Moduli of smoothness of vector valued 
functions of a real variable and applications. 92a:41020 

Dubois, Jacques see Deslauriers, Gilles; et al., 92g:41003 

Dubuc, Serge see Deslauriers, Gilles; et al., 92g:41003 

Farkhi, Elza M. see Donchev, Tzanko Donchev, 92a:41020 

Ginchev, I. Local approximations of higher order for multifunctions of one variable. 
92b:41040 

Gonska, Heinz H. Degree of simultaneous approximation of bivariate functions by Gordon 
operators. 92b:41038 

Goodman, T. N. T. Closed surfaces defined from biquadratic splines. 92m:41029 

Guo, Kang Hui (with Sun, Xingping) Scattered data interpolation by linear combinations of 
translates of conditionally positive definite functions. 92h:41006 

Haas, Ruth see Billera, Louis J., 92m:41027 

Hong, Dong Spaces of bivariate spline functions over triangulation. 92f:65016 

Huotari, Robert (with Legg, D. A.; Townsend, Douglas) Best L,-approximation by convex 
functions of several variables. 92h:41044 

Ibrahim, Adel Kh. (with Schumaker, Larry L.) Super spline spaces of smoothness r and 
degree d > 3r +2. 92k:41017 

Ignatov, M. 1. (with Pevnyi, A. B.) * Hatypanbubie cimatu MHOrHX NepeMeHHBIX. 
(Russian) [Natural splines of several variables] 92h:41023 

Jia, Rong Qing (with Sharma, Ambikeshwar) Solvability of some multivariate interpolation 
problems. 92h:41007 

— see also Riemenschneider, Sherman D.; et al., 92g:41015 and Lei, Junjiang, 92i:41016 

Kida, Sésabur6 Relation between Padé-type approximation and polynomial interpolation in 
several variables. 92g:41024 

— Padé-type and Padé approximants in several variables. 92h:41037 

Lachance, Michael A. (with Schwartz, Arthur J.) Four-point parabolic interpolation. 
92a:65045 

Lee, Seng Luan The use of homogeneous coordinates in spline functions and polynomial 
interpolation. 92¢e:41004 

Legg, D. A. see Huotari, Robert; et al., 92h:41044 

Lei, Junjiang (with Jia, Rong Qing) Approximation by piecewise exponentials. 92i:41016 

Lorentz, Rudolph Alexander * Bivariate Birkhoff-Interpolation. (German) [Bivariate 
Birkhoff interpolation] 92f:41001 

— Asurvey of bivariate Birkhoff interpolation. (see 92g:41001) 

Makila, Pertti M. Laguerre series approximation of infinite-dimensional systems. 
92b:93040 

Marlewski, Adam Two-dimensional analogues of a certain Voronovskaja type theorem. 
92¢:41024 

Miihlbach, G. On interpolation by rational functions with prescribed poles with applica- 
tions to multivariate interpolation. 924:41006 

Narcowich, Francis J. (with Ward, Joseph D.) Norms of inverses and condition numbers 
for matrices associated with scattered data. 92b:65017 

Nessel, R. J. (with van Wickeren, E.) On counterexamples in multivariate approximation. 
92b:41013 

Pevnyi, A. B. see Ignatov, M. I., 92h:41023 

Prestin, Jiirgen (with Tasche, Manfred) Trigonometric interpolation for bivariate functions 
of bounded variation. 924:41008 

Pych-Taberska, Paulina see Aniol, G., 92m:41021 

Rademacher, Christine (with Scherer, Karl) Best parameter interpolation in Lp-norms. 
92¢:41005 

Reimer, Manfred * Constructive theory of multivariate functions. 92m:41003 

— Nonproduct interpolation and approximation. 92j:41008 

Riemenschneider, Sherman D. (with Jia, Rong Qing; Shen, Zuowei) Multivariate splines 
and dimensions of kernels of linear operators. 92g:41015 

RieBinger, Thomas Overlapping approximation of the exponential function on the positive 
axis. 92j:41028 

Ron, Amos see de Boor, Carl, 92i:65022 

Rose, Lauren L. see Billera, Louis J., 92g:41010 

Savi¢, Viadimir N. On approximation of continuous functions. (Serbo-Croatian summary) 
92b:41043 

Schempp, Walter see Delvos, Franz-Jirgen, 92¢:41003 

Scherer, Karl see Rademacher, Christine, 92c:41005 

Schmidt, Jochen W. Rational biquadratic C'-splines in S-convex interpolation. (German 
summary) 92j:65011 

Schumaker, Larry L. see Ibrahim, Adel Kh., 92k:41017 

Schwartz, Arthur J. see Lachance, Michael A., 92a:65045 

Sendov, Blagovest Kh. (with Takev, Milko D.) A theorem of Whitney’s type in R?. 
92h:41017 





41A63 


Sha, Zhen An identity for s} (A2)). (Chinese. English summary) 92d:41025 

Sharma, Ambikeshwar see Jia, Rong Qing, 92h:41007 

Shen, Zuowei see Riemenschneider, Sherman D.; et al., 92g:41015 

Sheng, Bao Huai (with Wu, Garidi) A new type of binary Bernstein-Kantorovich operators 
and their L, approximation. (Chinese. English summary) 92i:41029 

Sun, Xingping see Guo, Kang Hui, 92h:41006 

Takev, Milko D. see Sendov, Blagovest Kh., 92h:41017 

Tasche, Manfred see Prestin, Jiirgen, 92d:41008 

Tomczak-Jaegermann, Nicole Projections on 2-dimensional spaces. (see 92g:41001) 

Townsend, Douglas see Huotari, Robert; et al., 92h:41044 

Utreras, Florencio I. Recent results on multivariate smoothing splines. 92j:41024 

— (with Varas, M. Leonor) Monotone interpolation of scattered data in R°. 92f:41009 

Vakarchuk, S. B. On interpolation by bilinear splines. (Russian) 92a:41008 

Van Barel, Marc (with Bultheel, Adhemar) A new approach to the rational interpolation 
problem: the vector case. 92b:41034 

Varas, M. Leonor see Utreras, Florencio I., 92f:41009 

Vinti, Gianluca see Bardaro, Carlo, 92e:41016 

Ward, Joseph D. see Narcowich, Francis J.,92b:65017 

van Wickeren, E. see Nessel, R. J., 92b:41013 

Wingren, Peter Simultaneous multivariate polynomial interpolation and approximation on 
fractal sets. 92h:41043 

Wa, Garidi see Sheng, Bao Huai; et al., 92i:41029 

Wu, Zheng Chang Linear combinations of Bernstein operators on a simplex. 92k:41032 

Zalesskii, B. A. A description of splines of several variables. Smoothing of surfaces. 
(Russian. English summary) 92m:65023 


41A65 Abstract approximation theory (approximation in normed 
linear spaces and other abstract spaces) 


Al-Minawi, H. (with Ayesh, S.) Best approximation in Orlicz spaces. 92b:41051 

Attouch, Hédy (with Azé,D.) Approximation and regularization of arbitrary functions in 
Hilbert spaces by the Lasry-Lions method. 92h:41065 

Ayesh, S. see Al-Minawi, H., 92b:41051 

Azé, D. see Attouch, Hédy, 92h:41065 

Bahadur, Lal see Soni, D. C., 92j:41045 

Borner, Walter Simplexe mit streng monotoner Entropiezahlenfolge. [Simplices with 
strongly monotone entropy sequence] 92m:41067 

Bosznay, Adam P. A remark on the farthest point problems. II. 92k:41046 

Carbone, Antonio Applications of fixed points to approximation theory. 92¢:41026 

— Applications of fixed point theorems. 92¢:41027 

— Approximation results and fixed points. 92m:41068 

De Blasi, F.S. (with Myjak, J.; Papini, P. L.) Porous sets in best approximation theory. 
92h:41066 

Donchev, Tzanko Donchev (with Farkhi, Elza M.) Moduli of smoothness of vector valued 
functions of a real variable and applications. 92a:41020 

Egger, A. (with Huotari, Robert) Pdélya properties in sequence spaces. 92j:41043 

Farkhi, Elza M. see Donchev, Tzanko Donchev, 92a:41020 

Feder, Moshe On proximinal subspaces of continuous function spaces. 92f:41034 

Gulisashvili, A.B. Mean ¢-dimension of classes of functions whose spectra are contained in 
a given set. (Russian) 92h:41067 

Guo, Yuan Ming Strongly unique Chebyshev centers. (Chinese. English summary) 
92£:41035 

Huotari, Robert see Egger, A., 92j:41043 

Iliev, Georgi L. The use of the K-functional to obtain direct and inverse theorems for shape 
preserving approximations. (Bulgarian summary) (see 92a:00041) 


Ilyasov, N. A. Orders of L)-moduli of smoothness of functions on the m-dimensional torus. 


(Russian) (see 92f:45001) 

Kirchhoff, N. (with Nessel, R. J.; van Wickeren, E.) Quantitative condensation of 
singularities for convolution processes of Fejér-type. 92d:41059 

Kirk, W. A. (with Massa, Silvio) Remarks on asymptotic and Chebyshev centers. 
92b:41052 

Kitahara, Kazuaki (with Tanaka, Katsumi”) A two decomposition of a bounded metric 
space. 92b:41053 

Korneichuk, N. P. Some problems of coding and reconstructing functions. (Russian. 
Ukrainian summary) 92k:41047 

Kro6, Andrés (with Schmidt, Darrell; Sommer, M.) Some properties of A-spaces and their 
relationship to L'-approximation. 92k:41048 

Lewicki, Grzegorz see Odyniec, Wiodzimierz P., 92a:41021 

Li, Chong Restricted approximations in normed linear spaces and their applications. 
(Chinese. English summary) 92b:41054 

— A problem on Chebyshev centers. 92j:41044 

Light, William A. A note on proximinality in function spaces F(S, X). 92d:41060 

Liu, Rui Zhen Best approximation in the abstract function space L;(T, u, X). (Chinese. 
English summary) 

Massa, Silvio see Kirk, W. A., 92b:41052 

McAfee, R. Preston (with Reny, Philip J.) A Stone-Weierstrass theorem without closure 
under suprema. 92¢:41033 

Miliéi¢é, Pavie M. La fonctionnelle g et quelques problémes des meilleures approximations 
dans des espaces normés. [The functional g and some problems of best approximation in 
normed spaces] 92g:41039 

Myjak, J. see De Blasi, F. S.; et al., 92h:41066 

Narang, T. D. Metric projections in linear metric spaces. 92b:41055 

— On singletonness of uniquely remotal sets. 92f:41036 

— Some remarks on a paper of K. B. Xu: “A result on best proximity pair of two sets” [J. 
Approx. Theory 54 (1988), no. 3, 322-325; MR 90a:41034]. 

Nersesyan, Ashot A. Bounded point derivations on R(X) and approximation with 
simultaneous interpolation. (Russian) 92f:41037 

Nessel, R. J. see Kirchhoff, N.; et al., 92d:41059 

Nikol’skii, M.S. Everywhere dense sets in the space C(X, Ku(R")) of continuous multival- 
ued mappings. (Russian) 92h:41068 


APPROXIMATIONS AND EXPANSIONS 1992 


Nikol/skii, S.M. Approximation, on a manifold, of functions of Besov class by entire 
functions of exponential type. (Russian) 92m:41069 

— Approximation of functions by polynomials on a manifold. (Russian) 

Nowroji, P.T. see Pai, Devidas, 92i:41041 

Odyniec, Wiodzimierz P. (with Lewicki, Grzegorz) * Minimal projections in Banach 
spaces. 92a:41021 

Pai, Devidas (with Nowroji, P. T.) On restricted centers of sets. 92i:41041 

Papini, P. L. see De Blasi, F. S.; et al., 92h:41066 

Park, Sung Ho Continuous and linear selections for the metric projection. 92b:41056 

Prolla, Joao B. Uniform approximation of continuous functions with values in [0, 1]. 
92h:41069 

Reny, Philip J. see McAfee, R. Preston, 92c:41033 

Schmidt, Darrell see Kro6, Andras; et al., 92k:41048 

Sejeeni, Fowzi Ahmad Approximation in function modules. 92b:41057 

Sommer, M. see Kroé, Andras; et al., 92k:41048 

Song, Wen Hua The Lipschitz continuous selection of metric projections. 92b:41058 

— The linear selections of metric projections in the Lp spaces. 92¢:41034 

Soni, D.C. (with Bahadur, Lal) A note on coapproximation. 92j:41045 

Starkloff, Hans-Jérg Stochastische Analoga des Satzes von Stone-WeierstraB. [Stochastic 
analogues of the Stone-Weierstrass theorem] 92i:41042 

Sternfeld, Yaki Dense subgroups of C(K)—Stone-Weierstrass-type theorems for groups. 
924:41061 

Sun, Yong Sheng Optimal recovery of differential operators on a class of smooth functions. 
92h:41070 

— Optimal sampling for classes of smooth functions. (Chinese. English summary) 
92h:41071 

Taberski, Roman Partial exponential approximation. 92j:41046 

Tanaka, Katsumi’ see Kitahara, Kazuaki, 92b:41053 

Tikhomirov, V.M. Some remarks on relative diameters. 92b:41059 

(Trzeciak, Jerzy) see Tikhomirov, V. M., 92b:41059 

Ubhaya, Vasani A. Duality and Lipschitzian selections in best approximation from 
nonconvex cones. 92b:41060 

Ugulava, D. K. see Zarnadze, D. N., 92m:41070 

Vesely, Libor Accretive metric projections. 92f:41038 

— Metric projections after renorming. 92h:41072 

van Wickeren, E. see Kirchhoff, N.; et al., 92d:41059 

(Xu, Xiu Bin) see Narang, T. D. 

Zarnadze, D. N. (with Ugulava, D. K.) Best approximations of functions on open intervals. 
(Russian) 92m:41070 


Items with secondary classifications in 41A65 

Atacik, Sermin see Karakus, Yusuf, 92k:41026 

Babaev, M.-B. A. On the order of approximation of the Sobolev class W7 by bilinear forms 
in Lp for 1 <q<p<2.(Russian) 92d:46082 

Badea, C. On a Korovkin-type theorem for simultaneous approximation. 92j:41029 

Bahadur, Lal (with Soni, D.C.) Metric projection “x” and “q”. 92¢:41026 

Balaganskii, V.S. Weak openness of the metric projection. (Russian) 92f:46010 

Ball, Joseph A. (with Fanney, Thomas R.) Uniform limits of sequences of polynomials and 
their derivatives. 92f:41012 

Baronti, Marco Strictly contractive projections on classical sequence spaces. 92c:46019 

Bayod, José Manuel (with Masa, M. Concepcién) Chebyshev coefficients for L'-preduals 
and for spaces with the extension property. 92b:46018 

Bazilevich, L. E. Topology of efficient subsets of level sets. (Russian) 92d:54019 

Beer, Gerald A. (with Pai, Devidas) The Prox map. 924:46035 

Benedek, A. (with Panzone, R.) An approximation theorem for certain subsets of Sobolev 
spaces. 92f:46034 

Besler, I. (with Daugavet, I. K.) Approximation of nonlinear operators by Volterra 
polynomials. (Russian) 92h:47097 

Bogachev, V. I. Smooth measures, the Malliavin calculus and approximations in infinite- 
dimensional spaces. 92h:58025 

Chalmers, B. L. (with Metcalf, F. T.) The determination of minimal projections and 
extensions in L'. 92¢:41017 

Chavent, Guy New size x curvature conditions for strict quasiconvexity of sets. 92k:49045 

Combettes, P. L. (with Trussell, H. J.) Method of successive projections for finding a 
common point of sets in metric spaces. 92a:65178 

Dahmen, Wolfgang (with Jia, Rong Qing; Micchelli, Charles A.) On linear dependence 
relations for integer translates of compactly supported distributions. 92j:41020 

Daugavet, I. K. see Besler, I., 92h:47097 

Delvos, Franz-Jiirgen (with Schempp, Walter) Interpolation projectors and closed ideals. 
92¢:41003 

— Approximation by optimal periodic interpolation. (Czech summary) 92c¢:41003 

De Pascale, E. (with Trombetta, G.) Fixed points and best approximations for convexly 
condensing functions in topological vector spaces. (Italian summary) 92h:47082 

Deutsch, Frank (with Li, Wu; Park, Sung Ho) Tietze extensions and continuous selections 
for metric projections. 92b:54037 

— (with Li, Wu) Strong uniqueness, Lipschitz continuity, and continuous selections for 
metric projections in L;. 92h:41054 

DeVore, Ronald A. (with Yu, Xiang Ming) Nonlinear n-widths in Besov spaces. 92e:41022 

(Dickmeis, W.) see Zhou, Song Ping, 92a:46018 

Elumalai, S. (with Ravi, R.) Farthest points on suns. 92i:46015 

Everitt, W. Norrie (with Littlejohn, L. L.) The density of polynomials in a weighted Sobolev 
space. (Italian summary) 92m:46046 

Fanney, Thomas R. see Ball, Joseph A., 92f:41012 

Fleming, Richard J. (with Jamison, James E.) Banach spaces with a basic inequality 
property and the best compact approximation property. 92i:46016a 

— (with Jamison, James E.) M-ideals and a basic inequality in Banach spaces. 92i:46016b 

Govindarajulu, P. Characterization of strictly convex functions. 92g:52009 

Haas, Ruth Module and vector space bases for spline spaces. 92b:41021 

Holub, James R. A note on best approximation and invertibility of operators on uniformly 
convex Banach spaces. 92d:47003 





679 1992 


Huotari, Robert (with Sahab, Salem M. A.) Simultaneous monotone L, approximation, 
p— oo. 92h:41041 

Ingram, John M. (with Marsh, M. M.) Projections onto convex cones in Hilbert space. 
922:46025 

Jamison, James E. see Fleming, Richard J., 92i:46016a and 92i:46016b 

Jia, Rong Qing see Dahmen, Wolfgang; et al., 92j:41020 

Karakus, Yusuf Simultaneous approximation in L, norm. (Turkish summary) 92c:41018 

— (with Atacik, Sermin) Simultaneous approximation in L,[a, b] when p is noninteger real 
number. 92k:41026 

Kasperski, Andrzej Modular approximation in X, 5. by a filtered family of sublinear operators 
and convex operators. 92k:47061a 

— Modular approximation in x} by a filtered family of “linear operators”. 92k:47061b 

Kilmer, Shelby J. (with Kozlowski, Wojciech M.; Lewicki, Grzegorz) Best approximants in 
modular function spaces. 92c:46030 

Kochurov, A.S. Absolute widths and cowidths. (Russian) 924:46040 

Koztowska, Grazyna Some remarks on modular approximation by a filtered family of linear 
operators. 924:46019 

Kozlowski, Wojciech M. (with Lewicki, Grzegorz) On polynomial approximation in 
modular function spaces. 92¢:46033 

— see also Kilmer, Shelby J.; et al., 92c:46030 

Lenze, Burkhard A hyperbolic modulus of smoothness for multivariate functions of 
bounded variation. 92g:41025 

Lewicki, Grzegorz On a theorem of S. N. Bernstein and its application in modular function 
spaces. 92¢:46032 

— see also Kilmer, Shelby J.; et al., 92c:46030 and Kozlowski, Wojciech M., 92c:46033 

Li, Wu see Deutsch, Frank; et al., 92b:54037 and 92h:41054 

Lim, Teck Cheong (with Smarzewski, Ryszard) On best approximation and coapproxima- 
tion in Lp spaces. 92:41031 

— (with Xu, Hong Kun; Xu, Zong Ben) Some L? inequalities and their applications to fixed 
point theory and approximation theory. 92j:47112 

Lin, Tzu-Chu Best approximations and fixed points. 92d:47076 

Littlejohn, L. L. see Everitt, W. Norrie, 92m:46046 

Liu, Yong Ping see Sun, Yong Sheng; et al., 92f:41022 

Ma, Zhi Wei? Some problems on a variation of L; approximation. 92g:41031 

Mabizela, Sizwe The relationship between Lipschitz extensions, best approximations, and 
continuous selections. 92i:41035 

Magaril-Il'yaev, G.G. Mean dimension and widths of classes of functions on the line. 
(Russian) 92j:41034 

Margolis, Beatriz Compact, convex sets in R” and a new Banach lattice. II. Application: an 
approximation problem. 924:46055b 

Marsh, M. M. see Ingram, John M., 92a:46025 

Martinez-Legaz, Juan-Enrique Uniform approximation by classes of functions closed under 
translation and pointwise supremum. 92b:41041 

Masa, M. Concepcién see Bayod, José Manuel, 92b:46018 

Mena-Jurado, Juan Francisco (with Pay4-Albert, Rafael; Rodriguez-Palacios, Angel; Yost, 
David Thomas) Absolutely proximinal subspaces of Banach spaces. 92¢:46037 

Metcalf, F.T. see Chalmers, B. L., 92e:41017 

Micchelli, Charles A. see Dahmen, Wolfgang; et al., 92j:41020 

Mukherjee, Rathindra Nath! (with Verma, Vandana) Some fixed point theorems and their 
applications to best simultaneous approximations. 92m:41051 

Narang, T. D. On some approximation problems in metric spaces. 92b:41046 

Nashed, M. Zuhair (with Walter, Gilbert G.) General sampling theorems for functions in 
reproducing kernel Hilbert spaces. 92h:41063 

(Nessel, R. J.) see Zhou, Song Ping, 92a:46018 

Nevskii, M. V. On some properties of the approximation and difference characteristics of 
functions in Orlicz classes. (Russian) (see 92m:46002) 

Nikol/skii, S. M. Approximation on a manifold by traces of functions of exponential type. 
(Russian) 92k:46052 

Nishishiraho, Toshihiko Saturation of iterations for approximation processes on Banach 
spaces. 92m:41057 

— Saturation of iterations of multiplier operators in Banach spaces. 92m:41058 

Osipenko, K. Yu. (with Stesin, M.I.) Recovery problems in Hardy and Bergman spaces. 
(Russian) 92e:46053 

Pai, Devidas see Beer, Gerald A., 92d:46035 

Pan, K.C. (with Shekhtman, Boris) On minimal interpolating projections and trace duality. 
92:41029 

Panzone, R. see Benedek, A., 92f:46034 

Park, Sung Ho see Deutsch, Frank; et al., 92b:54037 

Pay4-Albert, Rafael see Mena-Jurado, Juan Francisco; et al., 92¢:46037 

Popescu, George Korovkin theorems in Banach algebras. 92h:46106 

Popov, Vasil A. Nonlinear multivariate approximation. 92b:41036 

Rakhmetov, N. K. Uniqueness of the element of best approximation in some function 
spaces. (Russian) 924:41056 

— Finite-dimensional Chebyshev subspaces in spaces with an integral metric. (Russian) 
92m:41065 

Rao, Geetha S. (with Swaminathan, M.) Best coapproximation and Schauder bases in 
Banach spaces. 92b:46015 

Ravi, R. see Elumalai, S., 92i:46015 

Reimer, Manfred * Constructive theory of multivariate functions. 92m:41003 

Rodriguez-Palacios, Angel see Mena-Jurado, Juan Francisco; et al., 92e:46037 

Rosenthal, Haskell Paul Some aspects of the subspace structure of infinite-dimensional 
Banach spaces. (see 92g:41001) 

Sahab, Salem M. A. Best simultaneous approximation of quasi-continuous functions by 
monotone functions. 92h:41042 

— see also Huotari, Robert, 92h:41041 

Sato, Ryotaro A counterexample to a di Korovkin th 

Schempp, Walter see Delvos, Franz-Jiirgen, 92¢:41003 

Schmeisser, Hans-Jiirgen Characterizations of periodic function spaces of Besov-Sobolev 
type via approximation processes and relations to the strong summability of Fourier 
series. 92c:46042 


92a:41013 





FOURIER ANALYSIS 


42-01 


Shekhtman, Boris see Pan, K. C., 92f:41029 

Sheng, Bao Huai Approximation of Meyer-K6nig-Zeller integral type operators in Orlicz 
spaces. (Chinese. English summary) 924:41053 

Smarzewski, Ryszard see Lim, Teck Cheong, 92f:41031 

Soni, D.C. see Bahadur, Lal, 92c:41026 

Soriano, Maria Luisa * Aproximacién simultanea en espacios normados. (Spanish) 
[Simultaneous approximation in normed spaces] 92d:41043 

Stesin, M. I. see Osipenko, K. Yu., 92e:46053 

Sun, Yong Sheng (with Liu, Yong Ping) Best one-sided approximation of some classes of 
smooth functions on the whole real axis by cardinal splines of higher order. 92f:41022 

Swaminathan, M. see Rao, Geetha S., 92b:46015 

Temirgaliev, N. Application of the theory of divisors to the approximate reconstruction and 
integration of periodic functions in several variables. (Russian) 92a:42027 

Tomezak-Jaegermann, Nicole Projections on 2-dimensional spaces. (see 92g:41001) 

Treiman, J.S. An infinite class of convex tangent cones. 92¢:49028 

Trombetta, G. see De Pascale, E., 92h:47082 

Trussell, H. J. see Combettes, P. L., 92a:65178 

Utreras, Florencio I. (with Varas, M. Leonor) Monotone interpolation of scattered data in 
R°. 92f:41009 

Varas, M. Leonor see Utreras, Florencio I., 92f:41009 

Verma, Vandana see Mukherjee, Rathindra Nath’, 92m:41051 

Vesely, Libor A connectedness property of maximal monotone operators and its application 
to approximation theory. 92i:47064 

Vijayaraju, Palaniappan Application of a fixed point theorem to best approximation. 
92k:41037 

Walter, Gilbert G. see Nashed, M. Zuhair, 92h:41063 

Weba, Michael Monotone approximation of random functions with multivariate domains 
in respect of lattice semi-norms. 92k:41027 

(van Wickeren, E.) see Zhou, Song Ping, 92a:46018 

Wingren, Peter Simultaneous multivariate polynomial interpolation and approximation on 
fractal sets. 92h:41043 

Xiong, Gui Jing The attenuation property of unbounded oscillations of continuous 
functions and its application. (Chinese) 92d:26006 

Xu, Hong Kun see Lim, Teck Cheong; et al., 92j:47112 

Xu, Zong Ben see Lim, Teck Cheong; et al., 92j:47112 

Yang, Chengmin Projections P on C = C[—1, 1] which interpolate at dim(P(C)) or more 
points. 92i:46029 

Yost, David Thomas see Mena-Jurado, Juan Francisco; et al., 92e:46037 

Yu, Xiang Ming see DeVore, Ronald A., 92e:41022 

Zhong, Xin Min Proximity mappings of convex sets in complex Hilbert spaces. (Chinese. 
English summary) 92j:47137 

Zhou, Ding Xuan L?-inverse theorems for beta operators. 92h:41050 

Zhou, Song Ping A note on a paper concerning constructive method: “A general approach 
to quantitative negative results in approximation theory” [in Mathematical structure— 
computational mathematics—mathematical modelling, 2, 141-147, Bulgar. Acad. 
Sci., Sofia, 1984; MR 87b:41036] by W. Dickmeis, R. J. Nessel and E. van Wickeren. 
92a:46018 


41A80 Remainders in approximation formulas 
Kdhler, Peter Dual approximation methods and Peano kernels. 92j:41047 


41A99 Miscellaneous topics 


Items with secondary classifications in 41A99 

Kacewicz, Bolestaw Z. (with Plaskota, L.) On the minimal cost of approximating linear 
problems based on information with deterministic noise. 92¢e:65033 

Kern, Jérg-Detlef The parallel complexity of function approximation. 92k:68037 

Lau, K. K. (with Zietak, K.) A note on linear approximations of matrices. 92k:15053 

Lemaréchal, Claude (with Zowe, J.) The eclipsing concept to approximate a multi-valued 
mapping. 92a:49024 

Plaskota, L. see Kacewicz, Bolestaw Z., 92e:65033 

Stoikova, L.S. Conditions that realize the partitioning of the domain of parameters in a 
Chebyshev extremal problem. (Russian) 92d:60019 

Yukalov, V. I. Method of self-similar approximations. 92c:81035 

Zietak, K. see Lau, K. K., 92k:15053 

Zowe, J. see Lemaréchal, Claude, 922:49024 


42-XX Fourier analysis 


42-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Cartwright, Mark * Fourier methods for mathematicians, scientists and engineers. 
92a:42001 

(Pal, Jené) see Schipp, F.; et al., 92g:42001 

Samuélides, M. (with Touzillier, L.) * Analyse harmonique. (French) [Harmonic analysis] 
92f:42001 

Schipp, F. (with Wade, W. R.; Simon, Péter) * Walsh series. 92g:42001 

Simon, Péter see Schipp, F.; et al., 92g:42001 

Touzillier, L. see Samuélidés, M., 92f:42001 

Wade, W. R. see Schipp, F.; et al., 92g:42001 





42-01 


Items with secondary classifications in 42-01 


Schiicker, Thomas * Distributions, Fourier transforms and some of their applications to 
physics. 924:00001 


42-02 Research exposition (monographs, survey articles) 


David, Guy René (with Semmes, Stephen) Intégrales singuliéres et régularité des sous- 
ensembles de R”. [Singular integrals and regularity of subsets of R"] 92h:42001 

Meyer, Yves Ondelettes sur l’intervalle. [Wavelets on the interval] 92m:42001 

Olevskii, A.M. Some problems in the theory of trigonometric and orthogonal series. 
(Russian) (see 92i:00028a) 

Semmes, Stephen see David, Guy René, 92h:42001 


Items with secondary classifications in 42-02 
(Lemarié, Pierre Gilles) see Wavelets in 1989, 92g:42018 


Items listed otherwise than by author 
Ondelettes en 1989 %& Les ondelettes en 1989. (French) [Wavelets in 1989] 92g:42018 
Seminar: 


Harmonic Analysis * Les ondelettes en 1989. (French) [Wavelets in 1989] 92g:42018 
Wavelets in 1989 * Les ondelettes en 1989. (French) [Wavelets in 1989] 92g:42018 


42-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Brown, Gavin Essay review of Fourier analysis [Cambridge Univ. Press, Cambridge, 1988; 
MR 89f:42001] by T. W. K6rner. (Russian) 

(D’yakonov, K. M.) see Brown, Gavin 

(Korner, T. W.) see Brown, Gavin 

(Nikol'skii, N. K.) see Brown, Gavin 


Items with secondary classifications in 42-03 

Beurling, Arne * The collected works of Arne Beurling. Vol. 1. 92k:01046a 
— * The collected works of Arne Beurling. Vol. 2. 92k:01046b 

(Carleson, Lennart) see Beurling, Arne, 92k:01046a and 92k:01046b 
(Malliavin, Paul) see Beurling, Arne, 92k:01046a and 92k:01046b 
(Neuberger, John W.) see Beurling, Arne, 92k:01046a and 92k:01046b 
(Wermer, John) see Beurling, Arne, 92k:01046a and 92k:01046b 


Items listed otherwise than by author 
Collected Works: 
Beurling, Arne see Beurling, Arne, 92k:01046a and 92k:01046b 


42-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Items with secondary classifications in 42-04 

Boldrighini, C. (with Frigio, S.; Molchanov, S. A.) Divergent Fourier series: numerical 
experiments. 92k:42007 

Frigio, S. see Boldrighini, C.; et al., 92k:42007 

Molchanov, S. A. see Boldrighini, C.; et al., 92k:42007 


42-06 Proceedings, conferences, collections, etc. 


(Agrachév, A. A.) see Commutative harmonic analysis, 92d:42001 

(Cachafeiro Lépez, Ma. Alicia) see Orthogonal polynomials and their applications, 92a:42002 

(Chui, Charles K.) see Wavelets, 92k:42001 

(Godoy, Eduardo) see Orthogonal polynomials and their applications, 92a:42002 

Items listed otherwise than by author 

Commutative harmonic analysis * KommytaTuBHbii rapMOHHYeCKHH aHanH3. 3. (Russian) 
[Commutative harmonic analysis. 3] 92d:42001 

Itogi Nauki i Tekhniki * KommytaTupubili rapMoHHueckHh aHamHs. 3. (Russian) [Commu- 
tative harmonic analysis. 3] 92d:42001 

Orthogonal pelynomials and their applications * Polinomios ortogonales y sus aplicaciones. 
(Spanish) [Orthogonal polynomials and their applications] 92a:42002 

Symposium: 
Orthogonal Polynomials and their Applications * Polinomios ortogonales y sus 

aplicaciones. (Spanish) ‘[Orthogonal polynomials and their applications] 92a:42002 

Vigo * Polinomios ortogonales y sus aplicaciones. (Spanish) [Orthogonal polynomials and 
their applications] 92a:42002 

Wavelets * Wavelets. 92k:42001 


Items with secondary classifications in 42-06 
(Lemarié, Pierre Gilles) see Wavelets in 1989, 92g:42018 


Items listed otherwise than by author 
All-Union School: 

Theory of Functions * Theory of functions. 
Amberd * Theory of functions. 


Ondelettes en 1989 * Les ondelettes en 1989. (French) [Wavelets in 1989] 92g:42018 
Seminar: 


Harmonic Analysis * Les ondelettes en 1989. (French) [Wavelets in 1989] 92g:42018 
Theory of functions * Theory of functions. 
Wavelets in 1989 * Les ondelettes en 1989. (French) [Wavelets in 1989] 92g:42018 


42Axx Fourier analysis in one variable 


FOURIER ANALYSIS 


1992 680 


42A05 Trigonometric polynomials, inequalities, extremal 
problems 


Benke, George On the maximum modulus for a certain class of unimodular trigonometric 
polynomials. 92¢:42001 

— On the minimum modulus of trigonometric polynomials. 92f:42002 

Erdélyi, Tamas Markov and Bernstein type inequalities for certain classes of constrained 
trigonometric polynomials on an interval shorter than the period. 92k:42002 

Konyagin, S. V. A problem of Littlewood. (Russian) 92h:42002 

Révész, Szilard Gy. Some trigonometric extremal problems and duality. 924:42002 

Taikov, L. V. Conjugate trigonometric polynomials. (Russian) 92h:42003 

Varma, A. K. Inequalities for trigonometric polynomials. 92j:42001 

Verdiev, V.G. Evolution of zeros and extreme points of a trigonometric polynomial as its 
extreme value varies. (Russian) 92a:42003 


Items with secondary classifications in 42A05 

Ainulloev, N. A sharp estimate for the second derivative in the space L,. (Russian) 
92i:26006 

Arestov, V. V. Integral inequalities for algebraic polynomials on the unit circle. (Russian) 
92m:30007 

Davydov, O. V. Accuracy of the Jackson inequality for individual functions. (Russian. 
Ukrainian summary) 92c:42001 

Erdélyi, Tamas Estimates for the Lorentz degree of polynomials. 92m:41023 

Maté, Attila (with Nevai, Paul; Totik, Vilmos) Szegé’s extremum problem on the unit 
circle. 92i:42014 

Nasibov, F.G. Extremal problems for polynomials. (Russian) 92k:26034 

Nevai, Paul see Maté, Attila; et al., 92i:42014 

Nguyén Thi Thiéu Hoa The trigonometric Taylor formula, a trigonometric analogue of 
Sobolev classes, and trigonometric splines. (Russian) 

Olivier, Patrick (with Rahman, Q. I.; Szynal, Jan) On the (C, 1) means of a power series 
and the positive definiteness of an associated matrix. (Russian summary) 92b:40009 

Privalov, Al. A. Growth of powers of polynomial bases. (Russian) 92b:41015 

Rahman, Q.I. see Olivier, Patrick; et al., 92b:40009 

Rivlin, Theodore J. * Chebyshev polynomials. 92a:41016 

Schweikard, Achim Trigonometric polynomials with simple roots. 92i:68073 

Szynal, Jan see Olivier, Patrick; et al., 92b:40009 

Totik, Vilmos see Maté, Attila; et al., 92i:42014 

Xu, Yuan On the Marcinkiewicz-Zygmund inequality. 92k:41019 


42A10 Trigonometric approximation 


Ainulloev, N. An estimate of best approximations of functions in terms of their moduli of 
continuity in L2. (Russian. Tajiki summary) 

Amer, M. M. (with Pandzhikidze, L. K.) About approximate properties of Nérlund’s 
means of double conjugate trigonometric series in C and L spaces. (Russian and Georgian 
summaries) 

Belinskii, E.S. Approximation by a “floating” system of exponentials on classes of periodic 
functions with a bounded mixed derivative. (Russian) (see 92m:46002) 

Bushev, D. N. Some extremal relations for classes of convolutions. (Russian. Ukrainian 
summary) 92b:42001 

Chen, Guang Rong (with Wu, Garidi) Approximation of convolution type operators in 
Orlicz spaces. (Chinese. English summary) 92j:42002 

Chen, Ke Min (with Zhou, Song Ping) On a note of M. Hasson and O. Shisha: “On the 
condition >, n?-'Es(f) < oo” [J. Approx. Theory 39 (1983), no. 4, 389-393; MR 
85a:42002]. 

Davydov, O. V. Accuracy of the Jackson inequality for individual functions. (Russian. 
Ukrainian summary) 92c:42001 

Dryanov, Dimiter P. One-sided approximation by trigonometric polynomials in L,-norm, 
O0<p<1. 92h:42004 

Du, Jin Yuan On the trigonometric polynomials interpolating approximate solutions of 
singular integral equations with Hilbert kernel. 924:42003 

Dzimistarishvili, M.G. On the behavior of upper bounds on the deviations of Steklov 
operators. (Russian) 92k:42003 

Gavrilyuk, V.T. Asymptotic estimates for the approximation of continuous periodic 
functions by Fourier sums. (Russian. Ukrainian summary) 92a:42004 

(Hasson, Maurice) see Chen, Ke Min; et al. 

Ilyasov, N. A. Approximations of periodic functions by Fejér-Zygmund means in various 
metrics. (Russian) 92j:42003 

— An inverse theorem of approximation theory in different metrics. (Russian) 92m:42002 

Jaffard, Stéphane A density criterion for frames of complex exponentials. 92i:42001 

Kharkevich, Yu. I. On the approximation of functions of the classes C, , Hy by linear means 
of their Fourier series. (Russian) 92¢:42002 

Lasser, R. Fourier summation with kernels defined by Jacobi polynomials. 92f:42003 

Lin, AChan Approximation of Jackson interpolation polynomials in the Hélder metric. 
(Chinese. English summary) 92f:42004 

Nema, H. K. see Qureshi, K. 

Nguyén Thi Thiéu Hoa The trigonometric Taylor formula, a trigonometric analogue of 
Sobolev classes, and trigonometric splines. (Russian) 

Novikov, O. A. Approximation of classes of continuous periodic functions by Favard sums. 
(Russian) 92m:42003 

Pachulia, N. L. Uniform estimates of (A, g)-strong integral mean deviations of Fourier 
operators. (Russian. Ukrainian summary) 92d:42004 

— Uniform estimates for integral strong average deviations of continuous functions by 
entire functions. (Russian. Ukrainian summary) 92h:42005 

Pandzhikidze, L. K. see Amer, M. M. 

Prestin, Jiirgen (with Préssdorf, Siegfried) Error estimates in generalized trigonometric 
Hélder-Zygmund norms. (German and Russian summaries) 92k:42004 

Privalov, Al. A. An orthogonal trigonometric basis. (Russian) 92f:42005 

Préssdorf, Siegfried see Prestin, Jiirgen, 92k:42004 





681 1992 


Qureshi, K. A class of functions and their degree of approximation. (Hindi. English 
summary) 924:42005 

— (with Nema, H. K.) On the degree of approximation of functions belonging to the 
weighted class. 

— (with Nema, H. K.) A class of functions and their degree of approximation. 

Rusak, V. N. Exact orders of best rational approximations of a convolution of the Weyl 
kernel, and functions from L,. (Russian) 

Schmeisser, Hans-Jiirgen (with Sickel, Winfried) Some remarks on strong approximation 
by Cesaro means. 92¢:42002 

Seitz, K. Groupoids and Fourier approximations. 92b:42002 

Shalaev, V. V. Widths in L2 classes of differentiable functions that can be determined by 
higher-order moduli of continuity. (Russian. Ukrainian summary) 92b:42003 

Sharapudinov, I. 1. Approximation properties of discrete Fourier sums. (Russian) 
92:42006 

Sheng, Shu Yun Some results on L'-approximation. 92k:42005 

— Approximation of Fourier series and their derivatives. (Chinese) 

(Shisha, Oved) see Chen, Ke Min; et al. 

Sickel, Winfried see Schmeisser, Hans-Jirgen, 92e:42002 

Syusyukalov, A.I. Approximation of periodic functions by Riesz means. (Russian. Kazakh 
summary) 92i:42002 

Taberski, Roman Approximation of real-valued functions on the two-dimensional Cartesian 
products. 92b:42004 

Wan, Chuan Liang The limiting constant problem for best approximation by the Fejér 
operator. (Chinese. English summary) 92f:42007 

Wang, Guan Min The optimal approximation constant for the Matsuoka operator 
Jn,2,:(f;). (Chinese. English summary) 92m:42004 

— Approximation constants of operators of Fejér type. (Chinese. English summary) 

Wu, Garidi see Chen, Guang Rong; et al., 92j:42002 

Xie, Ting Fan On the approximation of differentiable functions by Euler means. 92h:42006 

Zhou, Song Ping A problem on approximation by Fourier sums with monotone coefficients. 
92a:42005 

— see also Chen, Ke Min; et al. 

Zhu, Lai Yi Approximation of functions of ABMV by Euler means. (Chinese. English 
summary) 


Items with secondary classifications in 42A10 

Bogolyubov, N. N. * On an arithmetical theorem and its application on the theory of almost 
periodic functions. 92m:42011 

Davydov, O. V. Best uniform approximation of periodic functions by splines. (Russian) 
92m:41063 

Deslauriers, Gilles (with Dubois, Jacques; Dubuc, Serge) Multidimensional iterative 
interpolation. 92g:41003 

Dubois, Jacques see Deslauriers, Gilles; et al., 92g:41003 

Dubuc, Serge see Deslauriers, Gilles; et al., 92g:41003 

Firlej, Barbara (with Rempulska, L.) Approximation theorems for functions of two 
variables in L*? spaces. 92m:42014 

Galeev, E.M. Bernstein diameters for the classes of periodic functions of several variables. 
92m:41062 

von Golitschek, Manfred Short proofs for the inequalities of Szegé, Markov and Zygmund. 
92j:41025 

(Ivanov, Kamen G.) see Korneichuk, N. P., 92m:41002 

Jiang, Hui Kun The kernels of Vallée-Poussin type on p-adic fields. 92b:43015 

Klotz, Latz Some approximation problems in L’-spaces of matrix-valued functions. 
92h:43005 

Korneichuk, N. P. * Exact constants in approximation theory. 92m:41002 

Leindler, L. On strong approximation with consequences of almost everywhere type. 
92b:42008 

Li, Luo Qing (with Yang, Ru Yue) Approximation of spherical Jackson polynomials. 
(Chinese. English summary) 92h:41016 

Matviyuk, L. V. On the embedding of the classes EX An in L4, (Russian) 92i:46038 

Nessel, R. J. (with van Wickeren, E.) On counterexamples in multivariate approximation. 
92b:41013 

Rempulska, L. see Firlej, Barbara, 92m:42014 

Sakai, Manabu (with Togashi, Akira) On hyperbolic and trigonometric B-splines on equally 
spaced knots. 92d:41024 

Sikhov, M. B. On the embedding E,(A) c He". (Russian) 92g:46030 

Togashi, Akira see Sakai, Manabu, 92d:41024 

Vakarchuk, S. B. Quasi-widths of classes of analytic functions of two complex variables. 
(Russian) 92m:32021 

Verdiev, V.G. Estimation of the maximal and minimal divergence of neighboring points of 
Chebyshev alternance. (Russian) 92¢:41029 

van Wickeren, E. see Nessel, R. J., 92b:41013 

Yang, Ru Yue see Li, Luo Qing; et al., 92h:41016 


42A15 Trigonometric interpolation 


Liu, Yong Ping On the trigonometric interpolation and the entire interpolation. 92i:42003 

Varma, A. K. (with Yu, Xiang Ming) Pointwise estimates for an interpolation process of S. 
N. Bernstein. 92j:42004 

Wa, Han Chen Interpolation problems for unitary groups. (Chinese. English summary) 

Yu, Xiang Ming see Varma, A. K., 92j:42004 


Items with secondary classifications in 42A15 

De Meyer, Hans E. (with Vanthournout, J.; Vanden Berghe, Guido; Vanderbauwhede, 
André) On the error estimation for a mixed type of interpolation. 92e:41002 

Elliott, David (with Taylor, Peter John') Polynomial approximation errors for functions of 
low-order continuity. 92j:41015 

Jaffard, Stéphane A density criterion for frames of complex exponentials. 92i:42001 

Taylor, Peter John' see Elliott, David, 92j:41015 

Vanden Berghe, Guido see De Meyer, Hans E.; et al., 92e:41002 


42A Fourier analysis in one variable 


Vanderbauwhede, André see De Meyer, Hans E.; et al., 92¢:41002 
Vanthournout, J. see De Meyer, Hans E.; et al., 92e:41002 


42A16 Fourier coefficients, Fourier series of functions with 
special properties, special Fourier series {For automorphic 
theory, see mainly 11F30.} 


Belov, A.S. On the Salem and Zygmund problem with respect to the smoothness of an 
analytic function that generates a Peano curve. (Russian) 92a:42006 

Buntinas, Martin (with Tanovié-Milier, Naza) New integrability and L'-convergence 
classes for even trigonometric series. (Serbo-Croatian summary) 92k:42006 

Chan, Ling-Yau Generalized Lipschitz classes and asymptotic behavior of Fourier series. 
92e:42003 

Doman, Maigorzata On Musielak-Orlicz sequence spaces of Fourier coefficients of 
uniformly almost periodic functions. 92¢:42003 

Gaur, Abhay K. A theorem for Fourier coefficients of a function of class L?. 92a:42007 

Grow, David (with Stanojevic, Vera B.) Representations of Fourier coefficients in Tauberian 
L'-convergence classes. 92h:42007 

Ivovié, Miodrag see Lazarevié¢, Ilija 

Lazarevié, Ilija (with Ivovicé, Miodrag) A mean value theorem for Fourier coefficients of an 
even function. 

Lebedev, V. V. Change of variable and the rate of decrease of Fourier coefficients. (Russian) 
92a:42008 

Marzuq, Maher M. H. Integrability theorem of multiple trigonometric series. 92f:42008 

Musielak, Julian On generalized Orlicz sequence spaces of Fourier coefficients for 
trigonometric gap series. I. 92h:42008 

Nillsen, Rodney Functions with piecewise linear Fourier transforms. 92f:42009 

Oehring, Charles Some extensions of Konyushkov’s theorem concerning the moduli of 
Fourier coefficients. 92a:42009 

Qian, Wei Chang Summation of trigonometric series by Fourier transforms. 92m:42005 

Stanojevic, Vera B. see Grow, David, 92h:42007 

Tanovié-Miller, Naza see Buntinas, Martin, 92k:42006 

Ulyanov, P. L. Properties of functions in Gevrey classes. (Russian) 92a:42010 


Items with secondary classifications in 42A16 


Baitasova, T. On arithmetic methods for harmonic analysis. (Russian) 92d:11090 

Buntinas, Martin (with Tanovié-Miller, Naza) Strong boundedness and strong convergence 
in sequence spaces. 92m:46012 

Chiccoli, C. see Dattoli, G.; et al., 92m:33037 

Dattoli, G. (with Chiccoli, C.; Lorenzutta, S.; Maino, Giuseppe; Richetta, M.; Torre, 
Amalia) Generating functions of multivariable generalized Bessel functions and Jacobi- 
elliptic functions. 92m:33037 

Elliott, David (with Taylor, Peter John') Polynomial approximation errors for functions of 
low-order continuity. 92j:41015 

Lippus, Jiri On multipliers preserving the classes of functions with a given major of the 
modulus of continuity. 92m:42010 

Lorenzutta, S. see Dattoli, G.; et al., 92m:33037 

Maino, Giuseppe see Dattoli, G.; et al., 92m:33037 

Nemzer, Dennis Periodic Boehmians. II. 92h:46059 

Olevskii, A. M. Some interpolation problems in real and harmonic analysis. 924:41007 

Richetta, M. see Dattoli, G.; et al., 92m:33037 

Tanovié-Miller, Naza see Buntinas, Martin, 92m:46012 

Taylor, Peter John! see Elliott, David, 92j:41015 

Torre, Amalia see Dattoli, G.; et al., 92m:33037 

Zhou, Song Ping A problem on approximation by Fourier sums with monotone coefficients. 
92a:42005 


42A20 Convergence of Fourier and trigonometric series 


Akhobadze, T. I. On the convergence and Cesaro (C, a)-summability of trigonometric 
Fourier series. (Russian) 92b:42005 

Baishanski, Bogdan (with Bojani¢, Ranko) A-regular oscillation and applications. 
92£:42010 

Bojani¢, Ranko see Baishanski, Bogdan, 92f:42010 

Boldrighini, C. (with Frigio, S.; Molchanov, S. A.) Divergent Fourier series: numerical 
experiments. 92k:42007 

Chen, Quan De The rate of convergence of conjugate Fourier series of functions. (Chinese. 
English summary) 

Frigio, S. see Boldrighini, C.; et al., 92k:42007 

Joé, Istvan On the divergence of some function series. 92f:42011 

Mhaskar, H. N. The convergence of Fourier series and a K-functional. 92f:42012 

Misra, Arati see Samantaray, U. N., 92h:42009 

Molchanov, S. A. see Boldrighini, C.; et al., 92k:42007 

Natsis, Dimitrios G. (with Stanojevi¢, Caslav V.) L'-convergence of Fourier series with 
coefficients monotonic with respect to regularly varying sequences. 92j:42005 

Olevskii, A.M. A note on convergence to infinity of Fourier series. 92b:42006 

Rodin, V. A. The space BMO and strong means of Fourier series. (Russian summary) 
92g:42002 

Samantaray, U.N. (with Misra, Arati) On the convergence factor of a series conjugate to a 
Fourier series. 92h:42009 

Sheng, Shu Yun see Shi, Xian Liang; et al., 92c:42004 

Shi, Xian Liang (with Sheng, Shu Yun) A remark on L'-convergence of Fourier cosine 
series. (Chinese) 92¢:42004 

Sjolin, Per Two theorems on convergence of Fourier integrals and Fourier series. 92¢:42004 

Skvortsov, V. A. The A-integral, its properties and applications. (Russian) (see 92i:00028a) 

Stanojevi¢, Caslav V. The Fourier character of series with slowly varying convergence 
moduli. 924:42006 

— see also Natsis, Dimitrios G., 92j:42005 





42A20 


Stanojevic, Vera B. Representations of monotonic Fourier coefficients in Tauberian L'- 
convergence classes. 92k:42008 

Szalay, I. (with Tanovié-Miller, Naza) On Banach spaces of absolutely and strongly 
convergent Fourier series. 92b:42007 

Tanovi¢-Miller, Naza On integrability and L' convergence of cosine series. (Italian 
summary) 92j:42006 

— see also Szalay, 1., 92b:42007 

Waterman, Daniel Uniform estimates of a trigonometric integral. 92h:42010 


Items with secondary classifications in 42A20 

Assani, Idris (with Petersen, Karl) The helical transform as a connection between ergodic 
theory and harmonic analysis. 92g:28025 

Barry, P. D. (with Hurley, D. J.) On series of partial fractions. 92e:30002 

Buntinas, Martin (with Tanovi¢-Miller, Naza) New integrability and L'-convergence 
classes for even trigonometric series. (Serbo-Croatian summary) 92k:42006 

Chan, Ling-Yau Generalized Lipschitz classes and asymptotic behavior of Fourier series. 
92e:42003 

Grigoryan, M. G. Convergence in the L'-metric and almost everywhere convergence of 
Fourier series in complete orthonormal systems. (Russian) 92a:42041 

Gu, Hai Wei (with Zhao, Li Kuan) A discussion on the convergence and divergence of a 
class of trigonometric series. (Chinese) 92a:26008 

Guadalupe Hernandez, José Javier (with Pérez, Mario; Ruiz Blasco, Francisco José; Varona, 
Juan Luis) Two notes on convergence and divergence a.e. of Fourier series with respect to 
some orthogonal systems. 92m:42032 

Harley, D. J. see Barry, P. D., 92e:30002 

Jaffard, Stéphane A density criterion for frames of complex exponentials. 92i:42001 

Kazaryan, K.S. (with Ul'yanov, P. L.) Ona problem of Alexits with respect to the 
divergence of orthogonal Fourier series. (Russian) 924:42013 

Lee, Cheng Ming A symmetric approximate Perron integral for the coefficient problem of 
convergent trigonometric series. 924:26018 

Pérez, Mario see Guadalupe Hernandez, José Javier; et al., 92m:42032 

Petersen, Karl see Assani, Idris, 92g:28025 

Ramsamujh, T. I. The complexity of everywhere divergent Fourier series. 92g:04005 

Ruiz Blasco, Francisco José see Guadalupe Hernandez, José Javier; et al., 92m:42032 

Tanovi¢-Miller, Naza see Buntinas, Martin, 92k:42006 

Ulyanov, P. L. see Kazaryan, K. S., 92d:42013 

Vandeven, Hervé Family of spectral filters for discontinuous problems. 92k:65006 

Varona, Juan Luis see Guadalupe Hernandez, José Javier; et al., 92m:42032 

Wojtaszczyk, P. Some remarks about the space of measures with uniformly bounded partial 
sums and Banach-Mazur distances between some spaces of polynomials. 92m:46040 

Zhao, Li Kuan see Gu, Hai Wei; et al., 92a:26008 


42A24 Summability of Fourier and trigonometric series 


Beohar, Archana see Pipliwal, Priti 

Bhagwat, Purnima (with Shrivastava, Shashi K.) Generalized Nérlund summability of 
Fourier series and its conjugate series. 

Kazaryan, K.S. Summability of generalized Fourier series and their conjugate series. 
92h:42011 

Kudryavtsev, A. I. (with Survillo,G.S.) A criterion for Lp-summability of Fourier series by 
Cesaro methods of negative order. (Russian) 

Kumar, Rajesh see Mittal, Madan Lal, 92m:42007 

Kumar Verma, Devesh On the (Z’,1,,) summability of derived Fourier series. (Hindi. 
English summary) 

Leindler, L. On strong approximation with consequences of almost everywhere type. 
92b:42008 

Lenski, Wiodzimierz On the rate of almost strong summability of Fourier series. 92j:42007 

— On Zygmund’s type strong summation theorem. 92j:42008 

— On the degree of almost strong convergence of Fourier series. 92m:42006 

Mittal, Madan Lal (with Kumar, Rajesh) On matrix summability of Fourier series and its 
conjugate series. 92m:42007 

Pipliwal, Priti (with Beohar, Archana) Approximation of a function by (N, p,) means of 
Fourier series. (Hindi. English summary) 

Shrivastava, Shashi K. see Bhagwat, Purnima 

Singh, Amar Nath Nérlund summability of Fourier series and its conjugate series. 
92a:42011 

Sulaiman, W.T. Multipliers for |C, |, summability of Fourier series. 92a:42012 

Survillo, G.S. see Kudryavtsev, A. I. 

Syusyukalov, A.I. Linear means of conjugate trigonometric series. (Russian) 

Tripathi, L.M. (with Tripathi, M.) On strong (N, p,) summability of a Fourier series. 
92h:42012 

— see also Tripathi, V. N., 92c:42005 

Tripathi, M. see Tripathi, L. M., 92h:42012 

Tripathi, V.N. (with Tripathi, L.M.) On almost Euler summability of a Fourier series. 
92c:42005 

(Trzeciak, Jerzy) see Kazaryan, K. S., 92h:42011 

Zaderei, P. V. Regularity of linear methods of summation of Fourier series of continuous 
functions. (Russian) 92b:42009 


Items with secondary classifications in 42A24 

Akhobadze, T. I. On the convergence and Cesaro (C, a)-summability of trigonometric 
Fourier series. (Russian) 92b:42005 

Bhatnagar, S.C. On de la Vallée-Poussin summability of a series of orthogonal polynomials. 

Buntinas, Martin (with Tanovi¢-Miller, Naza) Strong boundedness and strong convergence 
in sequence spaces. 92m:46012 

Gavrilyuk, V.T. Asymptotic estimates for the approximation of continuous periodic 
functions by Fourier sums. (Russian. Ukrainian summary) 92a:42004 

Gevorkyan, G.G. Uniqueness of trigonometric series that are summable by the Riemann 
method. (Russian) 92b:42013 


FOURIER ANALYSIS 


1992 682 


Ilyasov, N. A. Approximations of periodic functions by Fejér-Zygmund means in various 
metrics. (Russian) 92j:42003 

Jo6, Istvan On the divergence of some function series. 92f:42011 

Kharkevich, Yu. I. On the approximation of functions of the classes C 4 Hy by linear means 
of their Fourier series. (Russian) 92c:42002 

Nema, H. K. see Qureshi, K. 

Nestoridis, V. (with Pichorides, S. K.) The circular structure of the set of limit points of 
partial sums of Taylor series. 92h:30005 

Pichorides, S. K. see Nestoridis, V., 92h:30005 

Qureshi, K. (with Nema, H. K.) On the degree of approximation of functions belonging to 
the weighted class. 

— (with Nema, H. K.) A class of functions and their degree of approximation. 

Schmeisser, Hans-Jiirgen (with Sickel, Winfried) Some remarks on strong approximation 
by Cesaro means. 92¢:42002 

Sickel, Winfried see Schmeisser, Hans-Jirgen, 92e:42002 

Sulaiman, W.T. Multipliers for |C, a, y| summability of Fourier series. (Arabic summary) 
92m:42008 

Syusyukalov, A. I. Approximation of periodic functions by Riesz means. (Russian. Kazakh 
summary) 92i:42002 

Tanovié-Miller, Naza see Buntinas, Martin, 92m:46012 

Xie, Ting Fan On the approximation of differentiable functions by Euler means. 92h:42006 

Zhu, Lai Yi Approximation of functions of ABMV by Euler means. (Chinese. English 
summary) 


42A28 Absolute convergence, absolute summability 


Bor, Hiiseyin Factors for |N, pn;6|, summability of Fourier series. 

Borwein, David The nonlocal nature of the summability of Fourier series by certain absolute 
Riesz methods. 92c:42006 

Muhammed, Amer About Nérlund summation of trigonometric Fourier series and their 
conjugate series in C and L spaces. (Russian and Georgian summaries) 

Okuyama, Yasuo On contraction of Fourier series. 1V. 92h:42014 

— On contraction of Fourier series. II. 92h:42013 

Sulaiman, W.T. Multipliers for |C, a, y| summability of Fourier series. (Arabic summary) 
92m:42008 

— On |C, a, y|, summability factors of Fourier series. 


Items with secondary classifications in 42A28 


Balci, M. On g-|C,a|, summability factors of Jacobi series. 92b:40011 

Bor, Hiiseyin On quasi-monotone sequences and their applications. 92c:40004 

Kholshchevnikova, N. N. On concentrated sets and N-sets. 92f:03054 

Patidar, Satish Chandra see Sharma, Sushil, 92g:42017 

Schmeisser, Hans-Jiirgen Characterizations of periodic function spaces of Besov-Sobolev 
type via approximation processes and relations to the strong summability of Fourier 
series. 92¢:46042 

Sharma, Sushil (with Patidar, Satish Chandra) On g-|c,a|, summability factors of Jacobi 
series. 92g:42017 


42A32 Trigonometric series of special types (positive coefficients, 
monotonic coefficients, etc.) 


Moricz, Ferenc Sidon type inequalities. 92b:42010 

Németh, J. Fourier series with positive coefficients and generalized Lipschitz classes. 
92h:42015 

— Note on Fourier series with nonnegative coefficients. 92k:42009 

— On Fourier series with nonnegative coefficients. 92k:42010 

Stanojevic, Vera B. Convergence and integrability of trigonometric series with coefficients of 
bounded variation of order (m, p). 92f:42013 

Zenei, S. Zahid Ali Integrability of trigonometric series. 92¢:42007 


Items with secondary classifications in 42A32 

Marzuq, Maher M. H. Integrability theorem of multiple trigonometric series. 92f:42008 

Natsis, Dimitrios G. (with Stanojevi¢, Caslav V.) L'-convergence of Fourier series with 
coefficients monotonic with respect to regularly varying sequences. 92j:42005 

Sedletskii, A.M. Uniform convergence of nonharmonic Fourier series. (Russian) 
92m:42037 

Sheng, Shu Yun see Shi, Xian Liang; et al., 92c:42004 

Shi, Xian Liang (with Sheng, Shu Yun) A remark on L!-convergence ot Fourier cosine 
series. (Chinese) 92¢:42004 

Stanojevi¢, Caslav V. The Fourier character of series with slowly varying convergence 
moduli. 924:42006 

— see also Natsis, Dimitrios G., 92j:42005 

Stanojevic, Vera B. Representations of monotonic Fourier coefficients in Tauberian L'- 
convergence classes. 92k:42008 


Zhou, Song Ping A problem on approximation by Fourier sums with monotone coefficients. 
92a:42005 


42A38 Fourier and Fourier-Stieltjes transforms and other 
transforms of Fourier type 

Duffin, Richard J. (with Weinberger, Hans F.) Dualizing the Poisson summation formula. 
92¢:42005 

Georgakis, Constantine The Hausdorff mean of a Fourier-Stieltjes transform. 92m:42009 

Heinig, Hans P. The Fourier transform in weighted spaces. 92c:42008 

Kang, Hyeonbae On the Fourier transform of e~¥). 92f:42014 

Lutsenko, V.I. The Paley-Wiener theorem on an unbounded interval. (Russian) (see 
92:00019) 

Mikosz, Mirostawa Differential properties of the generalized Fourier transform. 92a:42013 

Miller, Richard T. On a theorem of Paley and Wiener. 92b:42011 





683 1992 


Pachulia, N. L. see Stepanets, A. I., 92b:42012 

Stepanets, A. I. (with Pachulia, N. L.) Strong mean deviations of Fourier operators. 
(Russian. Ukrainian summary) 92b:42012 

Weinberger, Hans F. see Duffin, Richard J., 92e:42005 

Wells, Benjamin B. Minimal extrapolations of filters. 92k:42011 


Items with secondary classifications in 42A38 

Cartwright, Mark * Fourier methods for mathematicians, scientists and engineers. 
92a:42001 

Cline, Daren B. H. Abelian and Tauberian theorems relating the local behavior of an 
integrable function to the tail behavior of its Fourier transform. 92b:40012 

De Michele, Leonede (with Di Natale, Marina; Roux, Delfina) Inverse Fourier transform. 
(Italian summary) 92b:42015 

De Sabata, Aldo (with Lipan, Ovidiu) Some applications of the interval mathematics in 
signal processing. 92h:65080 

Di Natale, Marina see De Michele, Leonede; et al., 92b:42015 

Feichtinger, Hans G. Discretization of convolution and reconstruction of band-limited 
functions from irregular sampling. 92m:42012 


Heywood, P. (with Rooney, P.G.) On the inversion of the extended Hankel transformation. 


92m:44010 

Houdré, Christian Linear Fourier and stochastic analysis. 92¢:60096 

Janssen, A. J. E.M. The Zak transform and some counterexamples in time-frequency 
analysis. 92k:94005 

Kalamkarov, A. L. (with Kudryavtsev, B. A.; Parton, V. Z.) Generalization of Fourier 
integral transform in boundary value problems for periodic nonhomogeneous medium. 
(French summary) 924:35015 

Kluvanek, Igor Sampling theorem for groups of operators. (see 92b:00045) 

Kudryavtsev, B. A. see Kalamkarov, A. L.; et al., 92d:35015 

Lenyuk, M. P. Integral Fourier transform on a left-bounded half-axis with a conjugation 
point. (Russian) 92a:35032 

Lipan, Ovidiu see De Sabata, Aldo, 92h:65080 

Matuii, Josef The Fourier integral for a certain class of distributions. (Czech summary) 
92e:46089 

Ovcharenko, O. V. Asymptotics of signals with a finite analytic spectrum. (Russian) 

Parton, V. Z. see Kalamkarov, A. L.; et al., 92d:35015 

Picard, Rainer H. Hilbert spaces of tempered distributions, Hermite expansions and 
sequence spaces. 92k:46065 

Rooney, P. G. see Heywood, P., 92m:44010 

Roux, Delfina see De Michele, Leonede; et al., 92b:42015 

Sadov, S. Yu. Two analogues of the Pleijel inequality. (Russian) 92j:26013 

Schmeelk, John Fourier transforms in generalized Fock spaces. 924:46107 


42A45 Miultipliers 


Berkson, Earl (with Gillespie, T. A.) Transference and extension of Fourier multipliers for 
L?(T). 92a:42014 

Blasco De La Cruz, Oscar A note on vector-valued Hardy and Paley inequalities. 92i:42004 

Bochkarev, S. V. Rearrangements of multiplicative systems. (Russian) 92k:42012 

Gillespie, T. A. see Berkson, Earl, 92a:42014 

Lippus, Jiri On multipliers preserving the classes of functions with a given major of the 
modulus of continuity. 92m:42010 

Pichugov, S. A. The Riesz formula for multiplier operators in a space of trigonometric 
polynomials. (Russian. Ukrainian summary) 92g:42003 

Ricker, Werner J. Spectral-like multipliers in L?(R). 92j:42009 


Items with secondary classifications in 42A45 

Gavrilyuk, V.T. Asymptotic estimates for the approximation of continuous periodic 
functions by Fourier sums. (Russian. Ukrainian summary) 92a:42004 

Kanjin, Yaichi (with Sato, Enji) Some singular measures in M,(G). 92h:43008 

Sato, Enji see Kanjin, Yaichi, 92h:43008 


42A50 Conjugate functions, conjugate series, singular integrals 

Babenko, V. F. (with Glushko, V. N.) Some exact inequalities for L,-norms of conjugate 
functions and their applications. (Russian) 92j:42010 

Dominguez, Marisela Multivariate prediction theory and weighted inequalities. (see 
92£:93005) 

Glushko, V. N. see Babenko, V. F., 92j:42010 

Golubov, B. I. Convergence and asymptotic expansion of singular integrals. (Russian) (see 
92i:00028a) 

Jiang, Hui Ming Weighted-BMO and the Hilbert transform. 92h:42016 

Jones, Roger L. A remark on singular integrals with complex homogeneity. 92f:42015 

Kazaryan, S.S. Integral inequalities in weighted reflexive Orlicz spaces for a conjugate 
function. (Russian. English and Armenian summaries) 92i:42005 

Khatib, M. N. About one-dimensional fractional integrals of H;? classes. (Russian and 
Georgian summaries) 

Lekishvili, M. M. Exponential integrability of a conjugate function. (Russian) 92g:42004 

Lukashenko, T. P. Properties of maximal convolution operators. (Russian) 92h:42017 

Vladimir Arkadievich On the Hilbert transformation along some planar curves in 

a neighborhood of infinity. (Russian) (see 92i:00016) 

Mironova, S. R. Properties of a singular integral in weighted Hélder spaces. (Russian) 
92i:42006 

Mohapatra, Ram Narayan (with Rodriguez, R.S.) On the rate of convergence of singular 
integrals for Hélder continuous functions. 92k:42013 

Pichorides, S. K. A remark on the constants of the Littlewood-Paley inequality. 92f:42016 

Rodriguez, R.S. see Mohapatra, Ram Narayan, 92k:42013 

Samotij, Krzysztof An example of a Hilbert transform. 92a:42015 


Items with secondary classifications in 42A50 
Asmar, Nakhlé H. (with Watson, Saleem) Harmonic conjugation in L' on compact abelian 


42A Fourier analysis in one variable 


42A65 


groups. 92h:43006 

Assani, Idris (with Petersen, Karl; White, Homer) Some connections between ergodic 
theory and harmonic analysis. 92m:28021 

— (with Petersen, Karl) The helical transform as a connection between ergodic theory and 
harmonic analysis. 92g:28025 

Berkson, Earl (with Gillespie, T. A.) The spectral decomposition of weighted shifts and the 
A, condition. 92e:47045 

Colzani, Leonardo (with Vignati, Marco) The Hilbert transform with exponential weights. 
92e:44004 

Duduchava, R. V. (with Shargorodskii, E. M.) Some singular integral operators with fixed 
singularities. (Russian. English summary) 92h:47070 

Gillespie, T. A. see Berkson, Earl, 92e:47045 

Guerre, Sylvie Some remarks on complex powers of (—A) and UMD spaces. 92f:47028 

Jo6, Istvin On Hermite-conjugate function. 92m:33017 

Kokilashvili, V. M. Fractional integrals on curves. (Russian. English summary) 92f:26011 

Kracht, Manfred W. (with Kreyszig, Erwin) On singular integral operators and generaliza- 
tions. 92f:47052 

Kreyszig, Erwin see Kracht, Manfred W., 92f:47052 

Papadimitrakis, M. Best uniform approximation by bounded analytic functions. (French 
summary) 92j:30029 

Petersen, Karl see Assani, Idris, 92g:28025 and 92m:28021 

Pilidi, V.S. Uniform invertibility of strong approximations of one-dimensional singular in- 
tegral operators with piecewise-continuous coefficients on the axis. (Russian) 92g:47078 

Shargorodskii, E.M. see Duduchava, R. V., 92h:47070 

Skvortsov, V. A. The A-integral, its properties and applications. (Russian) (see 92i:00028a) 

Taikov, L. V. Conjugate trigonometric polynomials. (Russian) 92h:42003 

Vartanyan, G.M. Ona resonance theorem. (Russian) 92h:42020 

Vignati, Marco see Colzani, Leonardo, 92¢:44004 

Watson, Saleem see Asmar, Nakhié H., 92h:43006 

White, Homer see Assani, Idris; et al., 92m:28021 


42A55 Lacunary series of trigonometric and other functions; 
Riesz products 


Karanikas,C. On a class of Riesz products on metrizable groups. 92e:42006 

Kochneff, Elizabeth (with Sagher, Yoram; Zhou, Ke Cheng) BMO estimates for lacunary 
series. 92j:42011 

Sagher, Yoram see Kochneff, Elizabeth; et al., 92j:42011 

Zhou, Ke Cheng see Kochneff, Elizabeth; et al., 92j:42011 


Items with secondary classifications in 42A55 


Berkes, Istvan Probability theory of the trigonometric system. 92h:60027 

— Irregular LIL behaviour of lacunary trigonometric series. 92h:42018 

— A note on lacunary trigonometric series. 92m:60029 

— Non-Gaussian limit distributions of lacunary trigonometric series. 92k:60108 

Dooley, Anthony H. Les G-mesures. [G-measures] 92f:28017 

Fukuyama, Katusi A mean central limit theorem for weakly multiplicative systems and its 
application to lacunary trigonometric series. 92g:60027 

Karanikas, C. Examples of Riesz products-type measures on metrizable groups. (Italian 
summary) 92d:43002 

— (with Koumandos, S.) Continuous singular measures with absolutely continuous 
convolution squares on locally compact groups. 92b:43004 

Koumandos, S. see Karanikas, C., 92b:43004 

Laohakosol, Vichian Dependence of arithmetic functions and Dirichlet series. 92i:11080 

Nillsen, Rodney Functions with piecewise linear Fourier transforms. 92f:42009 


42A61 Probabilistic methods 
Berkes, Istvan Irregular LIL behaviour of lacunary trigonometric series. 92h:42018 


Items with secondary classifications in 42A61 

Bagh, S. see Nayak, N. N., 92a:60126 

Baiiuelos, Rodrigo (with Moore, Charles N.) Distribution function inequalities for the 
density of the area integral. (French summary) 92k:42025 

Berkes, Istvan Probability theory of the trigonometric system. 92h:60027 

— Non-Gaussian limit distributions of lacunary trigonometric series. 92k:60108 

Boldrighini, C. (with Frigio, S.; Molchanov, S. A.) Divergent Fourier series: numerical 
experiments. 92k:42007 

Frigio, S. see Boldrighini, C.; et al., 92k:42007 

Fukuyama, Katusi A mean central limit theorem for weakly multiplicative systems and its 
application to lacunary trigonometric series. 92g:60027 

Molchanov, S. A. see Boldrighini, C.; et al., 92k:42007 

Moore, Charles N. see Baiuelos, Rodrigo, 92k:42025 

Nayak, N.N. (with Bagh, S.) On the average number of real zeros of a class of random 
algebraic equations. 92a:60126 

Sun, Dao Chun Boundary properties of lacunary and random series. (Chinese. English 
summary) 92k:60109 


42A63 Uniqueness of trigonometric expansions, uniqueness of 
Fourier expansions, Riemann theory, localization 


Gevorkyan, G. G. Uniqueness of trigonometric series that are summable by the Riemann 
method. (Russian) 92b:42013 
Korner, T. W. A Helson set of uniqueness but not of synthesis. 92e:42007 


42A65 Completeness of sets of functions 


Sedletskii, A.M. Completeness of systems of exponentials on a half-line. (Russian) 
92f:42017 





42A65 


Items with secondary classifications in 42A65 

Aleksandrov, E. L. On the completeness of a system of powers of a random variable in the 
Hilbert space L?(Q,.4,P). (Russian) 92i:60003 

Jaffard, Stéphane A density criterion for frames of complex exponentials. 92i:42001 

Lyubarskii, Yu. I. Properties of systems of linear combinations of powers. (Russian) 
92a:42044 

Vagarshakyan, A. A. Generalizations of theorems of N. Wiener and R. Paley. (Russian. 
English and Armenian summaries) 92f:30036 


42A70 Trigonometric moment problems 


Genchev, Todor G. A solution of the trigonometric moment problem via Tagamlitzki’s 
“theorem of the cones”. 92h:42019 


Items with secondary classifications in 42A70 

Jorgensen, Palle E.T. Existence of smooth solutions to the classical moment problems. 
925:44005 

Seip, Kristian The maximum entropy extension of positive definite Toeplitz matrices. 
(Norwegian. English summary) 92f:60059 


42A75 Classical almost periodic functions, mean periodic 
functions [see also 43A60] 


Abushaev, E.N. see Povolotskii, A. I., (92g:47002) 

Beeva, B. D. see Bozinov, Nikolai S. 

Bogolyubov, N. N. * On an arithmetical theorem and its application on the theory of almost 
periodic functions. 92m:42011 

Bozinov, Nikolai S. (with Beeva, B.D.) Mean-periodic extensions of continuous functions 
with respect to generalized translation operators associated with second order differential 
operators. 

Povolotskii, A. I. (with Abushaev, E. N.) Almost periodic multivalued functions. (Russian) 
(see 92g:47002) 

Walker, W. J. Almost periodic functions with bounded Fourier exponents. 92k:42014 


Items with secondary classifications in 42A75 

Blot, Joél Le théoréme de Markov-Kakutani et la presque-périodicité. (English summary) 
[The Markov-Kakutani theorem and almost periodicity] 92j:43008 

Hard, Harry L. Correlation theory of almost periodically correlated processes. 92¢:60074 

Kulagina, M. F. On the Markushevich boundary value problem for almost periodic 
functions. (Russian) (see 92f:00016) 


42A82 Positive definite functions 


Dym, Harry On reproducing kernels and the continuous covariance extension problem. 
92b:42014 


Items with secondary classifications in 42A82 

Adamyan, V.M. Asymptotic properties for positive and Toeplitz matrices and operators. 
92b:47031 

Girardin, Valérie (with Seghier, Abdellatif) Constructions d’extensions de suites définies 
positives. Cas multidimensionnel. (English summary) [Constructions of extensions of 
positive definite sequences. The multidimensional case] 92f:44016 

Jorgensen, Palle E.T. Integral representations for locally defined positive definite functions 
on Lie groups. 92h:43017 

Seghier, Abdellatif see Girardin, Valérie, 92f:44016 


42A85 Convolution, factorization 


Feichtinger, Hans G. Discretization of convolution and reconstruction of band-limited 
functions from irregular sampling. 92m:42012 


Items with secondary classifications in 42A85 


Chiccoli, C. see Dattoli, G.; et al., 92m:33037 

Dattoli, G. (with Chiccoli, C.; Lorenzutta, S.; Maino, Giuseppe; Richetta, M.; Torre, 
Amalia) Generating functions of multivariable generalized Bessel functions and Jacobi- 
elliptic functions. 92m:33037 

Lorenzutta, S. see Dattoli, G.; et al., 92m:33037 

Maino, Giuseppe see Dattoli, G.; et al., 92m:33037 

Richetta, M. see Dattoli, G.; et al., 92m:33037 

Stepanets, A. I. (with Stepanets, N. I.) Approximation by entire functions in the mean on 
the real axis. (Russian. Ukrainian summary) 92m:41053 

Stepanets, N. I. see Stepanets, A. I., 92m:41053 

Torre, Amalia see Dattoli, G.; et al., 92m:33037 


42A99 None of the above, but in this section 


De Michele, Leonede (with Di Natale, Marina; Roux, Delfina) Inverse Fourier transform. 
(Italian summary) 92b:42015 

Di NatsJe, Marina see De Michele, Leonede; et al., 92b:42015 

Roux, Delfina see De Michele, Leonede; et al., 92b:42015 

Vartanyan, G. M. On a resonance theorem. (Russian) 92h:42020 


Items with secondary classifications in 42A99 

Bullen, P.S. (with Mukhopadhyay, S. N.) The integrability of Riemann summable 
trigonometric series. 92d:26015 

Butzer, P. L. (with Hauss, M.; Stens, R. L.) The sampling theorem and its unique role in 
various branches of mathematics. 92m:94011 

Chen, Han Lin On n-widths of periodic functions. 92h:41052 

De Michele, Leonede (with Di Natale, Marina; Roux, Delfina) On the effectiveness of some 
inversion methods for noisy Fourier series. (see 92m:41004) 


FOURIER ANALYSIS 


Di Natale, Marina see De Michele, Leonede; et al., (92m:41004) 

Hauss, M. see Butzer, P. L.; et al., 92m:94011 

Morita, Tohru An extension of Szegé’s theorem. 92b:82033 

Mukhopadhyay, S. N. see Bullen, P. S., 92d:26015 

Roux, Delfina see De Michele, Leonede; et al., (92m:41004) 

Seip, Kristian Wavelets in H?(R): sampling, interpolation, and phase space density. (see 
92k:42001) 

Stens, R. L. see Butzer, P. L.; et al., 92m:94011 

Zhou, Song Ping On the relative behaviour of moduli of smoothness. 92c:26002 


42Bxx Fourier analysis in several variables {For 
automorphic theory, see mainly 11F30.} 


Items with secondary classifications in 42Bxx 


Triebel, Hans Inequalities in the theory of function spaces: a tribute to Hardy, Littlewood 
and Polya. 92¢:26006 


42B05 Fourier series and coefficients 


Ashurov, R. R. Summability of multiple trigonometric Fourier series. (Russian) 92m:42013 

Berisa, Muharem C. (with Kastrati, R.) Coefficients of double lacunary Fourier series 
of functions that belong to the classes SBS 2, (Russian. English and Serbo-Croatian 
summaries) 92g:42005 

— On coefficients of double lacunary trigonometric series. 92f:42018 

Bloshanskii, I. D. Structural and geometric characteristics of sets of convergence and 
unbounded divergence almost everywhere of multiple Fourier series. (Russian) (see 
92i:00028a) 

D’yachenko, M. I. Convergence almost everywhere of multiple Fourier series of monotone 
functions. (Russian) 92h:42021 

Firlej, Barbara (with Rempulska, L.) Approximation theorems for functions of two 
variables in L*? spaces. 92m:42014 

Gabisoniya, O. D. A condition for the convergence of double Fourier series. (Russian) 
92i:42007 

Grigoryan, M.G. Convergence of Laplace and Fourier series. (Russian) 92c:42009 

Kastrati, R. see Berisa, Muharem C., 92g:42005 

Méoricz, Ferenc On the integrability of double cosine and sine series. I, II. 92b:42016 

— On the integrability and L'-convergence of double trigonometric series. 92h:42022 

Pachulia, N. L. see Stepanets, A. I., 92h:42025 

Rempulska, L. see Firlej, Barbara, 92m:42014 

Salvatori, Maura A remark on a smoothed Fourier series. 924:42007 

Stepanets, A. I. (with Pachulia, N. L.) Multiple Fourier sums on sets of (yw, #)-differentiable 
functions. (Russian) 92h:42025 

— (with Zaderei, P. V.; Zaderei, N. N.) Fourier coefficients of functions of the class Cr H?. 
(Russian. Ukrainian summary) 92c:42010 

Tetunashvili, Sh. T. On the solution of the uniqueness problem for multiple trigonometric 
series. (Russian. English and Georgian summaries) 92h:42023 

Zaderei, N. N. see Stepanets, A. L.; et al., 92c:42010 

Zaderei, P. V. see Stepanets, A. L.; et al., 92c:42010 


Items with secondary classifications in 42B05 

Delvos, Franz-Jiirgen (with Schempp, Walter) * Boolean methods in interpolation and 
approximation. 92k:41003 

Jergensen, Palle E.T. Imprimitivity systems associated to regions in R”, connections 
between geometry and spectrum, a sample of problems. (see 92d:00034) 

K6nig, Hermann On the Fourier-coefficients of vector-valued functions. 92m:46049 

Marzuq, Maher M. H. Integrability theorem of multiple trigonometric series. 92f:42008 

Schempp, Walter see Delvos, Franz-Jiirgen, 92k:41003 


42B08 Summability 


Brandolini, Luca Estimates for Lebesgue constants in dimension two. 92b:42017 

D’yachenko, M. I. The order of growth of Lebesgue constants of Dirichlet kernels of 
monotone type. (Russian) 92b:42018 

D’yachkov, A. M. Description of sets of Lebesgue points and summability points of a 
Fourier series. (Russian) 92i:42008 

Grona, V.L. Uniform convergence of spherical Fourier sums of differentiable functions. 
(Russian. Ukrainian summary) 92b:42019 

Kuang, Ji Chang Approximation by Nérlund means of double Fourier series in X(Q) 
spaces. (Chinese summary) 

— G-mean approximation theorems for double Fourier integrals. (Chinese. English 
summary) 92c:42011 

Méoricz, Ferenc On A-strong convergence of double numerical sequences and Fourier series. 
92h:42024 

Pachulia, N. L. Strong summation of Fourier series of (y, £)-differentiable functions of m 
variables. (Russian) 92h:42026 

Rodin, V. A. Pointwise strong summability of multiple Fourier series. (Russian) 

Skopina, M. A. Almost everywhere convergence of Marcinkiewicz sums of double Fourier 
series. (Russian. English summary) 92i:42009 


Items with secondary classifications in 42B08 

Baron, Simson Summability factors with a rate and multipliers of double Fourier series of 
Lipschitz classes. 92m:42016 

Bourgain, Jean Besicovitch type maximal operators and applications to Fourier analysis. 
92g:42010 

Moricz, Ferenc (with Schipp, F.; Wade, W. R.) Cesaro summability of double Walsh- 
Fourier series. 92j:42028 

Schipp, F. see Moricz, Ferenc; et al., 92j:42028 

Wade, W. R. see Moricz, Ferenc; et al., 92j:42028 





685 1992 


42B10 Fourier and Fourier-Stieltjes transforms and other 
transforms of Fourier type 


Baron, Simson Complementary spaces and multipliers of double Fourier series. 92h:42027 

Benedetto, John J. The spherical Wiener-Plancherel formula and spectral estimation. 
92h:42028 

— A multidimensional Wiener-Wintner theorem and spectrum estimation. 92a:42016 

Carton-Lebrun, C. (with Heinig, Hans P.) Weighted extensions of restriction theorems for 
the Fourier transform. 92a:42017 

Chanysheva, A. Yu. Positive-definite functions of a special type. (Russian) 92a:42018 

Cui, Shang Bin Generalized Fourier transformations and their applications. (Chinese. 
English summary) 92h:42029 

Drury, S. W. (with Guo, Kang Hui) Convolution estimates related to surfaces of half the 
ambient dimension. 92j:42012 

D’yachenko, M. I. A criterion for spherical convergence of Fourier transforms of monotone 
functions of two variables. (Russian) 92j:42013 

Embacher, H. G. (with Griibl,G.) Fourier representation for the two-point function of the 
two-dimensional massless scalar field. 

Evans, Ward R. The Wiener-Plancherel theorem on R". 92b:42020 

Griibl, G. see Embacher, H. G. 

Guo, Kang Hui see Drury, S. W., 92j:42012 

Heinig, Hans P. see Carton-Lebrun, C., 92a:42017 

Iagolnitzer, D. Microlocal analysis and phase-space decompositions. 92a:42019 

Koldobskii, A. L. The Fourier transform technique for convolution equations in infinite- 
dimensional /,-spaces. 92m:42015 

Mockenhaupt, Gerd A restriction theorem for the Fourier transform. 92f:42019 

Strichartz, Robert S. Self-similar measures and their Fourier transforms. I. 92k:42015 

Telyakovskii, S. A. Uniform boundedness of trigonometric polynomials in several variables 
of a special type. 92¢:42008 

(Trzeciak, Jerzy) see Telyakovskii, S. A., 92e:42008 


Items with secondary classifications in 42B10 

Bourgain, Jean Besicovitch type maximal operators and applications to Fourier analysis. 
92g:42010 

Feichtinger, Hans G. An elementary approach to the generalized Fourier transform. 
92h:46055 

Fraenkel, L. E. A space of slowly decreasing functions with pleasant Fourier transforms. 
92k:46041 

Gabardo, Jean-Pierre Tempered distributions supported on a half-space of R" and their 
Fourier transforms. 92h:46056 

Glaeske, Hans-Jiirgen (with Vi Kim Tuan) Mapping properties and composition structure 
of multidimensional integral transforms. 92m:44014 

Sjélin, Per Two theorems on convergence of Fourier integrals and Fourier series. 92e:42004 

Vinogradova, G. A. Smoothness on the unit sphere of the Fourier transform of a homoge- 
neous generalized function. (Russian) 92h:46058 

Vii Kim Tuan see Glaeske, Hans-Jirgen, 92m:44014 


42B15 Multipliers 


Baron, Simson Summability factors with a rate and multipliers of double Fourier series of 
Lipschitz classes. 92m:42016 

Bordin, B. (with Garcia, J.B.) A multiplier theorem on weighted Orlicz spaces. 92k:42016 

Bourgain, Jean On the restriction and multiplier problems in R?. 92m:42017 

Christ, Michael L” bounds for spectral multipliers on nilpotent groups. 92k:42017 

Colzani, Leonardo Hankel transform on Lorentz spaces. 92d:42008 

Garcia, J. B. see Bordin, B., 92k:42016 

Kim, Yong Chan (with Kwon, Ern Geun) On the boundary behavior and Taylor coefficients 
for mixed norm spaces D?4. 92h:42030 

Krug, Donald Boundedness of certain multiplier operators in Fourier analysis on weighted 
Lebesgue spaces. 92k:42018 

Kwon, Ern Geun see Kim, Yong Chan, 92h:42030 

Mauceri, Giancarlo (with Meda, Stefano) Vector-valued multipliers on stratified groups. 
92j:42014 

McIntosh, Alan G. R. (with Qian, Tao) Fourier multipliers on Lipschitz curves. 92k:42019 

Meda, Stefano see Mauceri, Giancarlo, 92j:42014 

Qian, Tao see McIntosh, Alan G. R., 92k:42019 

Seeger, Andreas Remarks on singular convolution operators. 92a:42020 

Yudin, V. A. A multiplier in double Fourier series. (Russian summary) 92h:42031 


Items with secondary classifications in 42B15 


Baron, Simson Complementary spaces and multipliers of double Fourier series. 92h:42027 

Granirer, Edmond E. On convolution operators which are far from being convolution by a 
bounded measure. Expository memoir. 92m:43005a 

— Corrigendum: “On convolution operators which are far from being convolution by a 
bounded measure. Expository memoir”. 92m:43005b 

Marschall, Jiirgen Weighted parabolic Triebel spaces of product type. Fourier multipliers 
and pseudo-differential operators. 92m:47104 

Ruiz, Alberto (with Vega, Luis) Unique continuation for Schrédinger operators with 
potential in Morrey spaces. 92¢e:35039 

Seeger, Andreas Endpoint estimates for multiplier transformations on compact manifolds. 
924:58166 

Vega, Luis see Ruiz, Alberto, 92¢:35039 


42B20 Singular integrals (Calderén-Zygmund, etc.) 


Aimar, Hugo A. (with Harboure, Eleonor O.) On weighted inequalities for nonstandard 
truncations of singular integrals. 92f:42020 

Aliev, I. A. (with Gadzhiev, A. D.) Weighted estimates for singular integrals generated by 
the generalized shift operator. (Russian) 92g:42006 


42B Fourier analysis in several variables 


42B20 


Avellaneda, Marco (with Lin, Fang-Hua) L” bounds on singular integrals in homogeniza- 
tion. 92j:42015 

Chen, Jie Cheng see Wang, Si Lei; et al., 92c:42016 

Chen, Tian Ping (with Zhang, De Zhi) A new description of H?(R") and the boundedness 
of C-Z operators on all H"(R") (p <r < 1). 92¢:42012 

Christ, Michael * Lectures on singular integral operators. 92f:42021 

— A T(b) theorem with remarks on analytic capacity and the Cauchy integral. 92k:42020 

Cotlar, Mischa (with Sadosky, Cora) The Helson-Szegé theorem in L? of the bidimensional 
torus. 92a:42021 

David, Guy René (with Jerison, David) Lipschitz approximation to hypersurfaces, 
harmonic measure, and singular integrals. 92b:42021 

— *® Wavelets and singular integrals on curves and surfaces. 92k:42021 

— (with Semmes, Stephen) Singular integrals and rectifiable sets in R": Beyond Lipschitz 
graphs. (French summary) 92j:42016 

De Rosa, Liliana (with Segovia, Carlos) Convergence of truncated singular integrals with 
two weights. 92h:42032 

Emgusheva, G. P. (with Nogin, V. A.) Convergence in L,(R") of hypersingular integrals 
with nonstandard truncation. (Russian) 

Fojii, Nobuhike A condition for a two-weight norm inequality for singular integral 
operators. 92k:42022 

Gadzhiev, A. D. see Aliev, I. A., 92g:42006 

Harboure, Eleonor O. see Aimar, Hugo A., 92f:42020 

Hernandez, Eugenio Weighted inequalities through factorization. 92f:42022 

Hofmann, Steve Weighted inequalities for commutators of rough singular integrals. 
92d:42009 

Jerison, David see David, Guy René, 92b:42021 

Jiang, Qing Tang Fractional integral operators on product spaces. (Chinese. English 
summary) 92h:42033 

Jones, Peter Wilcox The traveling salesman problem and harmonic analysis. 92c:42013 

Li, Chun? A note on BMO; functions. (Chinese) 92c:42014 

Lin, Fang-Hua see Avellaneda, Marco, 92j:42015 

Lyakhov, L. N. A class of hypersingular integrals. (Russian) 92g:42007 

Macias, R. A. (with Torrea Hernandez, José Luis) Boundedness of singular integrals on 
non-necessarily normalized spaces of homogeneous type. 92f:42023 

Meda, Stefano (with Pini, Rita) Spherical convolution with kernels having singularities on 
an equator. (Italian summary) 92j:42017 

Nogin, V. A. see Emgusheva, G. P. 

Pan, Yi Biao L? boundedness of oscillatory integral operators. 92g:42008 

— Hardy spaces and oscillatory singular integrals. 92e:42009 

Pini, Rita see Meda, Stefano, 92j:42017 

Rzaev, R. M. On the differentiability of some singular integrals. (Russian) (see 92f:45001) 

— A multidimensional singular integral operator in spaces defined by conditions on mean 
oscillation of functions. (Russian) 92c:42015 

Saal, Linda (with Urciuolo, Marta) Singular integrals supported on the image of an analytic 
function. 92b:42022 

Sadosky, Cora see Cotlar, Mischa, 92a:42021 

Sampson, G. H? and L? weighted estimates for convolutions with singular and oscillating 
kernels. 92k:42023 

Segovia, Carlos see De Rosa, Liliana, 92h:42032 

Seifullaev, R. K. On the action of a multidimensional singular integral operator over a 
domain in generalized Hélder spaces. (Russian) (see 92f:45001) 

Semmes, Stephen see David, Guy René, 92j:42016 

Siudut, Stanislaw On the Fatou type convergence of abstract singular integrals. 92k:42024 

Stein, Elias M. (with Wainger, S.) Discrete analogues of singular Radon transforms. 
92¢:42010 

Torchinsky, Alberto (with Wang, Shi Lin) A note on the Marcinkiewicz integral. 92e:42011 

Torrea Hernandez, José Luis see Macias, R. A., 92f:42023 

Urbina, Wilfredo O. On singular integrals with respect to the Gaussian measure. 924:42010 

Urciuolo, Marta see Saal, Linda, 92b:42022 

de la Villa, Agustin Estimation of oscillatory integrals. (Spanish. English summary) (see 
92m:00049) 

Wainger, S. see Stein, Elias M., 92e:42010 

Wang, Shi Lin see Torchinsky, Alberto, 92e:42011 

Wang, Si Lei (with Chen, Jie Cheng) Some notes on square function operators. (Chinese) 
92¢:42016 

Youssfi, Abdellah Continuité-Sobolev de certains opérateurs paradifférentiels. [Sobolev 
continuity of some paradifferential operators] 92m:42018 

Zhang, De Zhi see Chen, Tian Ping; et al., 92c:42012 

Zhao, Kai Operators on functions with derivatives in H”. (Chinese. English summary) 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Christ, Michael, 92f:42021 


Items with secondary classifications in 42B20 

Adams, David R. (with Pierre, Michel) Capacitary strong type estimates in semilinear 
problems. (French summary) 92m:35074 

Chang, Der-Chen E. Estimates for singular integral operators with mixed type homo- 
geneities in Hardy classes. 92c:46022 

— (with Krantz, Steven G.) #? regularities for NIS operators on weakly pseudo-convex 
domains of finite type in C?. 92m:32011 

Cowling, Michael (with Gaudry, G. I.; Qian, Tao) A note on martingales with respect to 
complex measures. 92¢:60087 

David, Guy René (with Semmes, Stephen) Intégrales singulitres et régularité des sous- 
ensembles de R”. [Singular integrals and regularity of subsets of R"] 92h:42001 

Deng, Dong Gao (with Peng, Li Zhong) Wavelet analysis. (Chinese. English summary) 

Drury, S. W. A survey of k-plane transform estimates. 92b:44002 

Fornass, John Erik (with Sibony, Nessim) On L? estimates for 0. 92h:32030 

Gao, Fu Chang Maximal operators and Hilbert transforms along convex curves. (Chinese 
summary) 92a:42022 

Gaudry, G.I. see Cowling, Michael; et al., 92e:60087 





42B20 


Glowacki, Pawel The Rockland condition for nondifferential convolution operators. II. 
92¢:43001 

Grafakos, Loukas Endpoint bounds for an analytic family of Hilbert transforms. 92f:44008 

Greiner, Peter On second order hypoelliptic differential operators and the 2-Neumann 
problem. 92i:32017 

Han, Yong Sheng (with Jawerth, Bjérn; Taibleson, Mitchell H.; Weiss, Guido) Littlewood- 
Paley theory and e-families of operators. 92h:46043 

— (with Sawyer, Eric T.) Para-accretive functions, the weak boundedness property and the 
Tb theorem. 92b:46041 

Hoppe, Wolfram (with Krupnik, N. Ya.) Some counterexamples to a hypothesis connected 
with the local values of the essential norm of operators of local type. 92b:47042 

Jaffard, Stéphane Pointwise smoothness, two-microlocalization and wavelet coefficients. 
92j:46057 

Jawerth, Bjorn see Han, Yong Sheng; et al., 92h:46043 

Jiang, Hui Ming Weighted-BMO and the Hilbert transform. 92h:42016 

Johnson, Raymond L. (with Neugebauer, C. J.) Change of variable results for A,- and 
reverse Hélder RH,-classes. 92¢:42019 

Krantz, Steven G. see Chang, Der-Chen E., 92m:32011 

Krupnik, N. Ya. see Hoppe, Wolfram, 92b:47042 

Kurokawa, Takahide On hypersingular integrals. 92g:31004 

Lewis, John L. (with Murray, Margaret A.M.) Regularity properties of commutators and 
layer potentials associated to the heat equation. 92¢:35052 

Lukashenko, T. P. Properties of maximal convolution operators. (Russian) 92h:42017 

Mauceri, Giancarlo (with Meda, Stefano) Vector-valued multipliers on stratified groups. 
92j:42014 

McIntosh, Alan G. R. Clifford algebras and the higher-dimensional Cauchy integral. 
92d:30032 

— (with Qian, Tao) Singular integrals along Lipschitz curves with holomorphic kernels. 
92j:30040 

McLean, William Local and global descriptions of periodic pseudodifferential operators. 
92£:47055 

Meda, Stefano see Mauceri, Giancarlo, 92j:42014 

Meyer, Yves Ondelettes sur l’intervalle. [Wavelets on the interval] 92m:42001 

Murray, Margaret A. M. see Lewis, John L., 92c:35052 

Neugebauer, C. J. see Johnson, Raymond L., 92c:42019 

Nieminen, Esko Hausdorff measures, capacities, and Sobolev spaces with weights. 
92i:46039 

Peng, Li Zhong see Deng, Dong Gao; et al. 

Pierre, Michel see Adams, David R., 92m:35074 

Pini, Rita A multiplier theorem for H-type groups. 92i:43003 

Qian, Tao see Cowling, Michael; et al., 92e:60087 and McIntosh, Alan G. R., 92j:30040 

Ryan, John Plemelj formulae and transformations associated to plane wave decompositions 
in complex Clifford analysis. 92i:30045 

Samko, S.G. Hypersingular integrals and differences of fractional order. (Russian) 
92g:26009 

Sato, Shuichi Note on a Littlewood-Paley operator in higher dimensions. 92c:42020 

Sawyer, Eric T. (with Wheeden, Richard L.) Carleson conditions for the Poisson integral. 
92h:26028 

— see also Han, Yong Sheng, 92b:46041 

Schmalz, Gerd Solution of the 8-equation on nonsmooth strictly g-concave domains with 
Hdlder estimates and the Andreotti-Vesentini separation theorem. 92f:32026 

Semmes, Stephen Differentiable function theory on hypersurfaces in R” (without bounds on 
their smoothness). 92m:30088 

— Analysis vs. geometry on a class of rectifiable hypersurfaces in R”. 92m:30089 

— see also David, Guy René, 92h:42001 

Sibony, Nessim see Forness, John Erik, 92h:32030 

Staples, Susan G. Doubling measures and quasiconformal maps. 92k:30038 

Stepanov, V. D. Integral operators on the cone of monotone functions and embeddings of 
Lorentz spaces. (Russian) 92¢:47056 

Taibleson, Mitchell H. see Han, Yong Sheng; et al., 92h:46043 

Thangavelu, S. Riesz transforms and the wave equation for the Hermite operator. 
92e:35012 

Vasilevskii, N. L. Nonclassical singular integral operators and algebras generated by them. 
(see 92a:00039) 

Weiss, Guido see Han, Yong Sheng; et al., 92h:46043 

Weisz, Ferenc Convergence of singular integrals. 92a:42038 

— Martingale Hardy spaces, BMO and VMO spaces with nonlinearly ordered stochastic 
basis. (Russian summary) 92c:60069 

Wheeden, Richard L. see Sawyer, Eric T., 92h:26028 

Wilson, J. Michael Some two-parameter square function inequalities. 92m:26014 


42B25 Maximal functions, Littlewood-Paley theory 


Aimar, Hugo A. (with Forzani, Liliana) Weighted weak type inequalities for certain 
_ Maximal functions. 92m:42019 

Alvarez, Josefina (with Milman, Mario) Calderén-Zygmund operators and Poisson-like 
operators. 92b:42023 

Baiiuelos, Rodrigo (with Moore, Charles N.) Distribution function inequalities for the 
density of the area integral. (French summary) 92k:42025 

Beatrous, Frank Boundary estimates for derivatives of harmonic functions. 92g:42009 

Bourgain, Jean Besicovitch type maximal operators and applications to Fourier analysis. 
92g:42010 

Chanillo, Sagun Sobolev inequalities involving divergence free maps. 92m:42020 

Chen, Jie Cheng A note on Carleson measures in product spaces and their applications. 
(Chinese) 92b:42024 

Chen, Tie Ling A two-weight reverse weak-type inequality for the maximal function with 
respect to Vitali convex families. (Chinese. English summary) 92i:42010 

Christ, Michael Examples of singular maximal functions unbounded on 1”. 92:42024 

— The strong maximal function on a nilpotent group. 92j:42018 


FOURIER ANALYSIS 1992 686 


Cifuentes, Patricio (with Dorronsoro, José R.; Sueiro, Juan) Boundary tangential conver- 
gence on spaces of homogeneous type. 92j:42019 

David, Guy René (with Semmes, Stephen) Harmonic analysis and the geometry of subsets 
of R". 92¢:42017 

Dorronsoro, José R. see Cifuentes, Patricio; et al., 92j:42019 

Forzani, Liliana see Aimar, Hugo A., 92m:42019 

Frazier, Michael (with Jawerth, Bjérn; Weiss, Guido) * Littlewood-Paley theory and the 
study of function spaces. 92m:42021 

Gao, Fu Chang Maximal operators and Hilbert transforms along convex curves. (Chinese 
summary) 92a:42022 

Gogatishvili, A.S. (with Kokilashvili, V.M.; Krbec, Miroslav) Maximal functions in the 
classes g(L). (Russian) 92c:42018 

— Maximal functions with respect to the basis of comparable convex sets in weighted 
Lebesgue spaces. (Russian. English summary) 92h:42034 

Gutiérrez, Cristian E. (with Urbina, Wilfredo O.) Estimates for the maximal operator of the 
Ornstein-Uhlenbeck semigroup. 92a:42023 

Jawerth, Bjérn see Frazier, Michael; et al., 92m:42021 

Jiang, Yin Sheng see Lu, Shan Zhen; et al., 92j:42020 

Johnson, Raymond L. (with Neugebauer, C. J.) Change of variable results for A,- and 
reverse Hélder RH,-classes. 92¢:42019 

Kokilashvili, V. M. see Gogatishvili, A. S.; et al., 92c:42018 

Krbec, Miroslav see Gogatishvili, A. S.; et al., 92c:42018 

Krotov, V.G. Estimates for the Peano maximal operators in a ball. (Russian) (see 
92i:00028a) 

Lee, Hung Hwan (with Yoo, Yoon-Jae) Area integrals associated with a measure on R”. 
92k:42026 

Liu, Zhen Hong’ see Qiu, Si Gang; et al., 92k:42027 

La, Shan Zhen (with Jiang, Yin Sheng) Boundedness of maximal Bochner-Riesz means at 
critical index on certain block spaces. (Chinese summary) 92j:42020 

Milman, Mario see Alvarez, Josefina, 92b:42023 

Moore, Charles N. see Baiiuelos, Rodrigo, 92k:42025 

Miller, Detlef Horst On weighted estimates for the Kakeya maximal operator. 92e:42012 

Neugebauer, C. J. see Johnson, Raymond L., 92c:42019 

Pérez, Carlos Two weighted norm inequalities for Riesz potentials and uniform L?- 
weighted Sobolev inequalities. 92a:42024 

— Weighted norm inequalities for general maximal operators. 92b:42025 

Qiu, Si Gang (with Liu, Zhen Hong?) Littlewood-Paley operators on the space of functions 
of weighted bounded mean oscillation. (Chinese summary) 92k:42027 

Ruiz Blasco, Francisco José (with Torrea Hernandez, José Luis) Factorization and 
extrapolation of pairs of weights in two different measure spaces. 92k:42028 

Salinas, Oscar Two-weight norm inequalities for the Hardy-Littlewood maximal function 
for one-parameter rectangles. 92e:42013 

Sato, Shuichi Note on a Littlewood-Paley operator in higher dimensions. 92¢:42020 

Semmes, Stephen see David, Guy René, 92c:42017 

Sinnamon, Gordon The A, condition and a positive, linear operator. 92k:42029 

Sueiro, Juan see Cifuentes, Patricio; et al., 92j:42019 

Torrea Hernandez, José Luis see Ruiz Blasco, Francisco José, 92k:42028 

Urbina, Wilfredo O. see Gutiérrez, Cristian E., 92a:42023 

Wang, Jian Weighted BMO functions and commutators. (Chinese. English summary) 

Weiss, Guido see Frazier, Michael; et al., 92m:42021 

Xing, Bai Fang Vector-valued inequalities with weights for potential operators. (Chinese) 
92e:42014 

Yang, Da Chun Boundedness of generalized Littlewood-Paley functions. (Chinese) 
92j:42021 

Yoo, Yoon-Jae see Lee, Hung Hwan, 92k:42026 

Zhou, Min Qiang Weighted norm inequalities for the maximal function on spaces of 
homogeneous type. 92b:42026 


Items with secondary classifications in 42B25 


Bourgain, Jean On the restriction and multiplier problems in R>. 92m:42017 

Chen, Tian Ping (with Zhang, De Zhi) A new description of H?(R") and the boundedness 
of C-Z operators on all H’(R") (p< r< 1). 92¢:42012 

Christ, Michael * Lectures on singular integral operators. 92f:42021 

— A T(b) theorem with remarks on analytic capacity and the Cauchy integral. 92k:42020 

D’Apuzzo, Livia (with Sbordone, Carlo) Reverse Hélder inequalities: a sharp result. (Italian 
summary) 92¢:26007 

David, Guy René (with Semmes, Stephen) Singular integrals and rectifiable sets in R": 
Beyond Lipschitz graphs. (French summary) 92j:42016 

Frazier, Michael (with Jawerth, Bjérn) A discrete transform and decompositions of 
distribution spaces. 92a:46042 

Hofmann, Steve Weighted inequalities for commutators of rough singular integrals. 
92d:42009 

Jawerth, Bjorn see Frazier, Michael, 92a:46042 

Kolyada, V.I. Estimates of rearrangements and embeddirg theorems. 92¢:46031 

Krug, Donald Boundedness of certain multiplier operators in Fourier analysis on weighted 
Lebesgue spaces. 92k:42018 

Lohoué, Noél (with Zhu, Fu Liu) The weak estimation of certain maximal functions on the 
symmetric spaces. 92d:58202 

Merentes, Nelson A new characterization of the Riesz class Ap. 92b:26021 

Sbordone, Carlo see D’Apuzzo, Livia, 92e:26007 

Semmes, Stephen see David, Guy René, 92j:42016 

Sjédin, Tord Weighted norm inequalities for Riesz potentials and fractional maximal 
functions in mixed norm Lebesgue spaces. 92b:46045 

Sogge, Christopher D. Propagation of singularities and maximal functions in the plane. 
92i:58192 

Staples, Susan G. Maximal functions, A,,-measures and quasiconformal maps. 92¢:30023 

Tkebuchava, G. E. The Hardy-Littlewood maximal function and Fourier-Haar series in 
weighted function spaces. (Russian. English and Georgian summaries) 92h:42040 

(Trzeciak, Jerzy) see Kolyada, V. I., 92c:46031 





687 1992 


Ullrich, David C. Maximal operators in Besov spaces and bounded holomorphic functions 
in the ball. 92a:32006 

Youssfi, Abdellah Continuité-Sobolev de certains opérateurs paradifférentiels. [Sobolev 
continuity of some paradifferential operators] 92m:42018 

Zhang, De Zhi see Chen, Tian Ping; et al., 92c:42012 

Zhu, Fu Liu see Lohoué, Noél; et al., 92d:58202 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Christ, Michael, 92f:42021 


42B30 H?-spaces 


Bui, Huy-Qui Boundary value characterizations for weighted Hardy spaces of harmonic 
functions. 92c:42021 

Jiang, Yin Sheng (with Liu, He Ping; Lu, Shan Zhen) Some properties of elliptic Riesz 
means at critical index on H?(7T"). 92a:42025 

Krotov, V.G. A sharp estimate for the boundary behavior of functions in the Hardy-Sobolev 
classes H?(B") in the critical case ap = n. (Russian) 

Liu, He Ping (with Liu, Zhi Xin; Lu, Shan Zhen) Strong mean approximation on H?(7") 
for the Riesz means at the critical index. 92a:42026 

— see also Jiang, Yin Sheng; et al., 92a:42025 

Liu, Zhi Xin see Liu, He Ping; et al., 92a:42026 

La, Shan Zhen see Jiang, Yin Sheng; et al., 92a:42025 and Liu, He Ping; et al., 92a:42026 

Luecking, Daniel H. Embedding derivatives of Hardy spaces into Lebesgue spaces. 
92k:42030 

Shen, Xie Chang (with Wen, Ming) Biorthogonal bases and multiple interpolation in 
weighted Hardy spaces. 92f:42025 

Wen, Ming see Shen, Xie Chang; et al., 92f:42025 

Yang, Da Chun Weak H? spaces over open subsets of R”. (Chinese. English summary) 
92m:42022 

Yao, Bi Yun The extended Carleson measure and the derivatives of L” functions. 
92k:42031 

Zhu, Xue Xian Atomic composition of H?(R" x --- x R™), 0<p<1.(Chinese) 92i:42011 

— Atomic decomposition of H?(R x --- x R). (Chinese. English summary) 92i:42012 


Items with secondary classifications in 42B30 

Ahern, Patrick (with Jevtié, Miroljub) Inner multipliers of the Besov space, 0 < p < 1. 
92b:46036 

Alvarez, Josefina (with Milman, Mario) Calderén-Zygmund operators and Poisson-like 
operators. 92b:42023 

Beatrous, Frank Boundary estimates for derivatives of harmonic functions. 92g:42009 

Blasco De La Cruz, Oscar Vector valued measures of bounded mean oscillation. 92i:46051 

— A note on vector-valued Hardy and Paley inequalities. 92i:42004 

Chanillo, Sagun Sobolev inequalities involving divergence free maps. 92m:42020 

Chao, J.-A. (with Long, Rui Lin) Martingale transforms with unbounded multipliers. 
92:60072 

Chen, Tian Ping (with Zhang, De Zhi) A new description of H?(R") and the boundedness 
of C-Z operators on all H’(R") (p< r< 1). 92¢:42012 

Christ, Michael A 7(b) theorem with remarks on analytic capacity and the Cauchy integral. 
92k:42020 

Coifman, Ronald R. (with Lions, Pierre-Louis; Meyer, Yves; Semmes, Stephen) Compacité 
par compensation et espaces de Hardy. [Compensated compactness and Hardy spaces] 
92:35014 

Essén, Matts An extension of two theorems of M. Riesz and A. Zygmund to R¢, d > 2. (see 
92d:30002) 

Gtowacki, Pawel The Rockland condition for nondifferential convolution operators. II. 
92¢:43001 

Grafakos, Loukas Endpoint bounds for an analytic family of Hilbert transforms. 92f:44008 

Hilgert, Joachim (with Olafsson, Gestur; Orsted, Bent) Hardy spaces on affine symmetric 
spaces. 92h:22030 

Huang, Ji Gang see Rong, Jian Ping; et al., 92f:30051 

Jevti¢, Miroljub see Ahern, Patrick, 92b:46036 

Lions, Pierre-Louis see Coifman, Ronald R.; et al., 92:35014 

Long, Rui Lin see Chao, J.-A.; et al., 92f:60072 

La, Shan Zhen (with Yang, Da Chun) Some characteristics of Hardy spaces associated with 
a class of block spaces. (Chinese. English summary) 92m:46035 

Mauceri, Giancarlo (with Meda, Stefano) Vector-valued multipliers on stratified groups. 
92j:42014 

Meda, Stefano (with Pini, Rita) Spherical convolution with kernels having singularities on 
an equator. (Italian summary) 92j:42017 

— see also Mauceri, Giancarlo, 92j:42014 

Meyer, Yves see Coifman, Ronald R.; et al., 92f:35014 

Milman, Mario see Alvarez, Josefina, 92b:42023 

Nie, Fu Sheng Some harmonic analysis properties of block functions and their applications 
to Hp. (Chinese. English summary) 92h:30074 

Gestur see Hilgert, Joachim; et al., 92h:22030 

Orsted, Bent see Hilgert, Joachim; et al., 92h:22030 

Pan, Yi Biao Hardy spaces and oscillatory singular integrals. 92e:42009 

Pini, Rita see Meda, Stefano, 92j:42017 

Rong, Jian Ping (with Huang, Ji Gang) The Carleson measure characteristics of UBC 
functions. (Chinese. English summary) 92f:30051 

Semmes, Stephen see Coifman, Ronald R.; et al., 92f:35014 

Strichartz, Robert S. H? Sobolev spaces. 92f:46043 

Weisz, Ferenc On duality problems of two-parameter martingale Hardy spaces. (French 
summary) 92c:60070 

— Interpolation between two-parameter martingale Hardy spaces, the real method. (French 
summary) 92m:46037 

Yang, Da Chun see La, Shan Zhen; et al., 92m:46035 

Zhang, De Zhi see Chen, Tian Ping; et al., 92c:42012 


42C Nontrigonometric Fourier analysis 


42C05 


42B99 None of the above, but in this section 


Galeev, E. M. Order estimates for harmonics, minimal with respect to choice of N, of the 
norms of derivatives of Dirichlet and Favard kernels. (Russian) 92j:42022 

Temirgaliev, N. Application of the theory of divisors to the approximate reconstruction and 
integration of periodic functions in several variables. (Russian) 92a:42027 

Temlyakov, V.N. Behavior of partial sums with respect to hyperbolic crosses of Fourier 
series of periodic functions of several variables. (Russian) 92i:42013 

Zhou, Song Ping A conjecture on approximation to double conjugate functions by Cesaro 
means. (Chinese) 92j:42023 


Items with secondary classifications in 42B99 

Belinskii, E.S. Approximation by a “floating” system of exponentials on classes of periodic 
functions with a bounded mixed derivative. (Russian) (see 92m:46002) 

Berenstein, Carlos A. (with Yger, Alain) Effective Bezout identities in Q[z),---, Z,]. 
92:32004 

Friedrich, Jirgen Nevanlinna parametrization of extensions of positive definite operator- 
valued functions. 924:47023 

Galeev, E. M. Bernstein diameters for the classes of periodic functions of several variables. 
92m:41062 

Garcia-Cuerva, José General endpoint results in extrapolation. 924:46074 

Goldberg, Maxim J. A functional calculus for a scalar perturbation of 8/9z. 92k:46060 

Guo, Wei Chun (with Tang, Yao Sheng) Properties of block generated function spaces. 
(Chinese. English summary) 92m:46041 

Kovalyov, M. (with Légaré, Martin) Fourier transform in non-Euclidean space and its 
applications to physics. 92a:81129 

Légaré, Martin see Kovalyov, M., 92a:81129 

Lev, V. F. Quadrature formulas for classes with constraints on Fourier coefficients. 
(Russian) 

Matviyuk, L. V. On the embedding of the classes E}'"""4" in L¢. (Russian) 921:46038 

M6ricz, Ferenc Sidon type inequalities. 92b:42010 

Nessel, R. J. (with van Wickeren, E.) On counterexamples in multivariate approximation. 
92b:41013 

Seeger, Andreas A note on Triebel-Lizorkin spaces. 92¢:46043 

Sickel, Winfried A remark on orthonormal bases of compactly supported wavelets in 
Triebel-Lizorkin spaces. The case 0 < p,q < co. 92h:46045 

Taberski, Roman Approximation of real-valued functions on the two-dimensional Cartesian 
products. 92b:42004 

Tang, Yao Sheng see Guo, Wei Chun; et al., 92m:46041 

van Wickeren, E. see Nessel, R. J., 92b:41013 

Yger, Alain see Berenstein, Carlos A., 92f:32004 


42Cxx Nontrigonometric Fourier analysis 


(Diamond, Ainsley H.) see Sansone, Giovanni, 92¢:42015 
(Hille, Einar) see Sansone, Giovanni, 92e:42015 
Sansone, Giovanni * Orthogonal functions. 92¢:42015 


Items with secondary classifications in 42Cxx 


Olevskii, A.M. Some problems in the theory of trigonometric and orthogonal series. 
(Russian) (see 92i:00028a) 


42C05 Orthogonal functions and polynomials, general theory 
[see also 33A65, 33C45, 33C50, 33D45] 


Alfaro, Manuel (with Montaner Lavedan, Jestis Maria) On the multiplicity of roots of 
orthogonal polynomials on the unit circle. (Spanish. English summary) (see 92g:00024) 

— (with Pérez, Mario) Modifications of orthogonal polynomials: relations between the 
roots. (Spanish) (see 92g:00024) 

Alfaro, Maria Pilar (with Vigil, Luis) Some results about the location of the zeros of 
orthogonal polynomials. (see 92g:00024) 

Al-Salam, W. A. Characterization theorems for orthogonal polynomials. 92g:42011 

Ambroladze, M. U. On the possible rate of growth of polynomials that are orthogonal with a 
continuous positive weight. (Russian) 92k:42032 

Belmehdi, Sald A study of the class one of semi-classical orthogonal polynomials. 
92b:42027 

— see also Ronveaux, A.; et al., 92m:42028 

Bos, Len Asymptotics for the Christoffel function for the equilibrium measure on a ball in 
R”™. 92b:42028 

Brezinski, Claude A direct proof of the Christoffel-Darboux identity and its equivalence to 
the recurrence relationship. 92a:42028 

Buyarov, V.S. Logarithmic asymptotics of polynomials that are orthogonal on the real axis. 
(Russian) 92k:42033 

Casastis Latorre, Luis (with Gonzalez-Vera, Pablo; Pérez-Acosta, Francisco) Orthogonal 
functions, Padé approximation and quadrature formulas. (Spanish) 92f:42026 

Chihara, T. S. The one-quarter class of orthogonal polynomials. 92f:42027 

Chui, Charles K. An overview of wavelets. (see 92g:41001) 

Cohen, Albert Construction de bases d’ondelettes a-héldériennes. [Construction of a- 
Hélder wavelet bases] 92j:42024 

Dombrowski, J. Orthogonal polynomials and functional analysis. 92m:42023 

Draidi, N. (with Maroni, Pascal) Sur l’adjonction de deux masses de Dirac a une forme 
réguliére quelconque. [On the adjunction of two Dirac masses to an arbitrary regular 
form] 92m:42024 

Dzhrbashyan, M. M. A survey on the theory of orthogonal systems and some open 
problems. 92a:42029 

Ebralidze, A. D. Orthonormal systems of Rademacher type. (Russian) 

Erdélyi, Tamas (with Nevai, Paul; Zhang, John; Geronimo, Jeffrey S.) A simple proof of 
“Favard’s theorem” on the unit circle. 92m:42025 

Garcia-Lazaro, Paloma (with Marcellan, Francisco; Pérez Grasa, Isabel) Orthogonal 
polynomials on BL: a constructive approach. (Spanish. English summary) (see 92g:00024) 





42005 


— (with Marcellan, Francisco; Tasis Montes, Carmen) Semiclassical orthogonal polynomi- 
als in the unit circle. (Spanish. English summary) (see 92b:00044) 

Germano, B. Non-Hermitian orthogonality on the unit circle and symmetric polynomials. 
(Italian. English summary) 92m:42026 

Geronimo, Jeffrey S. see Erdélyi, Tamas; et al., 92m:42025 

Gilbert, George T. Zeros of symmetric, quasi-definite, orthogonal polynomials. 92j:42025 

Godoy, Eduardo (with Marcellan, Francisco) Rational modifications of Borel measures. 
(Spanish. English summary) (see 92g:00024) 

— (with Marcellan, Francisco) An analog of the Christoffel formula for polynomial 
modification of a measure on the unit circle. (Italian summary) 92c:42022 

— see also Marcellan, Francisco, 92m:42027 

Gonzalez-Vera, Pablo see Casastis Latorre, Luis; et al., 92f:42026 

Guadalupe Garcia, Rafael see Torrano, Emilio, (92a:42002) 

Gurevich, A. B. Determinant expressions for orthogonal polynomials. (Russian) (see 
924:35003) 

Handelman, David Stable positivity of polynomials obtained from three-term difference 
equations. 92d:42011 

Husain, Syed A. (with Sehgal, V.M.) Orthonormal expansions and the principle of uniform 
boundedness. 92¢:42023 

Iserles, A. (with Koch, Per Erik; Norsett, S. P.; Sanz-Serna, J. M.) On polynomials 
orthogonal with respect to certain Sobolev inner products. 92b:42029 

— (with Norsett, S. P.; Saff, E. B.) On transformations and zeros of polynomials. 92f:42028 

Jones, William B. (with Magnus, Arne; McCabe, John H.; Wyshinski, Nancy J.) Asymptotic 
properties of a family of orthogonal polynomial sequences. 92c:42024 

Koch, Per Erik see Iserles, A.; et al., 92b:42029 

Li, Xin* (with Saff, E. B.) On Nevai’s characterization of measures with almost everywhere 
positive derivative. 92g:42012 

Labinsky, D.S. The approximate approach to orthogonal polynomials for weights on 
(—00, 00). 92b:42030 

Magnus, Arne see Jones, William B.; et al., 92c:42024 

Marcellén, Francisco (with Ronveaux, A.) On a class of polynomials orthogonal with 
respect to a discrete Sobolev inner product. 92f:42029 

— (with Maroni, Pascal) Orthogonal polynomials on the unit circle and their derivatives. 
92j:42026 

— (with Sansigre, G.) Orthogonal polynomials on the unit circle: symmetrization and 
quadratic decomposition. 92h:42035 

— (with Godoy, Eduardo) Orthogonal polynomials on the unit circle: distribution of zeros. 
92m:42027 

— see also Godoy, Eduardo, 92c:42022; Ronveaux, A.; et al., 92m:42028; Garcia-Lazaro, 
Paloma; et al., (92b:00044); (92g:00024) and Godoy, Eduardo, (92g:00024) 

Maroni, Pascal Sur la suite de polynémes orthogonaux associée a la forme u = 6, + A(x — 
c)~'L. (English summary) [On the sequence of orthogonal polynomials associated with 
the form u=6, +A(x —c)~'L] 92¢:42016 

— Sur la suite de polynémes orthogonaux associée a la forme u = 5, + A(x — c)~'L. (English 
summary) [On the sequence of orthogonal polynomials associated with the form u = 
6- + A(x —c)~'L] 92¢:42025 

— see also Marcellan, Francisco, 92j:42026 and Draidi, N., 92m:42024 

Maté, Attila (with Nevai, Paul; Totik, Vilmos) Szegé’s extremum problem on the unit 
circle. 92i:42014 

— (with Nevai, Paul; Van Assche, Walter) The supports of measures associated with 
orthogonal polynomials and the spectra of the related selfadjoint operators. 92i:42015 

McCabe, John H. see Jones, William B.; et al., 92c:42024 

Mercer, A. McD. A new proof of a theorem about generalized orthogonal polynomials. 
92g:42013 

— A note on the zero distribution of orthogonal polynomials. 92b:42031 

Mhaskar, H. N. (with Saff, E. B.) On the distribution of zeros of polynomials orthogonal on 
the unit circle. 92:42030 

Milovanovi¢, Gradimir V. (with Rajkovi¢, Predrag M.) Geronimus concept of orthogonality 
for polynomials orthogonal on a circular arc. (Italian summary) 92g:42014 

Montaner Lavedan, Jestis Maria see Alfaro, Manuel, (92g:00024) 

Moral, L. The space L?(a;) in a finite union of Jordan curves. (Spanish) (see 92a:42002) 

Morelli, A. (with Verna, I.) Some remarks on the asymptotic behavior of the zeros of 
certain sequences of o-orthogonal polynomials. (Italian. English summary) 92j:42027 

Nevai, Paul Weakly convergent sequences of functions and orthogonal polynomials. 
92£:42031 

— (with Zhang, John; Totik, Vilmos) Orthogonal polynomials: their growth relative to their 
sums. 92k:42034 

— see also Maté, Attila; et al., 92i:42014; 92i:42015 and Erdélyi, Tamds; et al., 92m:42025 

Norsett, S. P. see Iserles, A.; et al., 92b:42029 and 92£:42028 

Olevskii, A.M. On spectrum-preserving approximation. (Russian) 92a:42030 

Osilenker, Boris P. The representation of the trilinear kernel in general orthogonal 
polynomials and some applications. 92k:42035 

Pan, K.C. (with Saff, E. B.) Some characterization th for 
orthogonal polynomials on the unit circle. (see 92g:41001) 

Peherstorfer, Franz On Bernstein-Szegé orthogonal polynomials on several intervals. II. 
Orthogonal polynomials with periodic recurrence coefficients. 92a:42031 

Pérez, Mario see Alfaro, Manuel, (92g:00024) 

Pérez-Acosta, Francisco see Casastis Latorre, Luis; et al., 92f:42026 

Pérez Grasa, Isabel Kernels and polynomic modifications in lemniscates. 92a:42032 

— see also Garcia-Lazaro, Paloma; et al., (92g:00024) 

Pifiar, M. A. (with Ramirez, V.) Reproducing kernels for lacunary functionals. (Spanish. 
English summary) 92f:42032 

Qi, Dong Xu A class of self-similar structures and a new definition of Walsh functions. 
(Chinese) 92k:42036 

Rajkovi¢, Predrag M. see Milovanovi¢, Gradimir V., 92g:42014 

Ramirez, V. see Piiar, M. A., 92f:42032 

Ronveaux, A. (with Belmehdi, Said; Marcellan, Francisco) Orthogonality with respect to the 
sum of two semiclassical regular linear forms. 92m:42028 

— see also Marcellin, Francisco, 92f:42029 

Saff, E.B. Orthogonal polynomials from a complex perspective. 92m:42029 





associated with 


FOURIER ANALYSIS 


1992 688 


— (with Totik, Vilmos) What parts of a measure’s support attract zeros of the corresponding 
orthogonal polynomials? 92¢:42026 

— see also Iserles, A.; et al., 92f:42028; Mhaskar, H. N., 92£:42030; Li, Xin‘; et al., 92g:42012 
and Pan, K. C., (92g:41001) 

Sansigre, G. see Marcellin, Francisco, 92h:42035 

Sanz-Serna, J. M. see Iserles, A.; et al., 92b:42029 

Sehgal, V. M. see Husain, Syed A., 92c:42023 

Stahl, Herbert (with Totik, Vilmos) nth root asymptotic behavior of orthonormal 
polynomials. 92g:42015 

— On regular nth root asymptotic behavior of orthonormal polynomials. 92f:42033 

Suetin, P. K. Orthogonal polynomials in two variables. (Russian) (see 92i:00028a) 

Tandori, K. Uber die Mittel von orthogonalen Funktionen. V. [On the means of orthogonal 
functions. V] 92a:42033 

Tasis Montes, Carmen see Garcia-Lazaro, Paloma; et al., (92b:00044) 

Torrano, Emilio (with Guadalupe Garcia, Rafael) Strictly y-typical sequences of orthogonal 
polynomials. (Spanish) (see 92a:42002) 

Totik, Vilmos Regular behavior of orthogonal polynomials and its localization. 92k:42037 

— Orthogonal polynomials with ratio asymptotics. 92¢:42017 

— see also Saff, E. B., 92c:42026; Stahl, Herbert, 92g:42015; Maté, Attila; et al., 92i:42014 
and Nevai, Paul; et al., 92k:42034 

Van Assche, Walter Four lectures on orthogonal polynomials. 92g:42016 

— Asymptotics for orthogonal polynomials and three-term recurrences. 92k:42038 

— see also Maté, Attila; et al., 92i:42015 

Verna, I. see Morelli, A., 92j:42027 

Vigil, Luis see Alfaro, Maria Pilar, (92g:00024) 

Wronicz, Zygmunt Systems conjugate to biorthogonal spline systems. (Russian summary) 
92¢:42027 

Wyshinski, Nancy J. see Jones, William B.; et al., 92¢c:42024 

Xu, Yuan The Marcinkiewicz-Zygmund inequality with derivatives. 92k:42039 

Zhang, John see Nevai, Paul; et al., 92k:42034 and Erdélyi, Tamas; et al., 92m:42025 


Items with secondary classifications in 42C05 


Avanissian, Vazgain (with Supper, Raphaéle) Fonctionnelles analytiques et sommes 
de séries de puissances a coefficients produits de polynémes orthogonaux. (English 
summary) [Analytic functionals and sums of power series whose coefficients are products 
of orthogonal polynomials] 92c:32002 

Bannai, Eiichi Orthogonal polynomials in coding theory and algebraic combinatorics. 
92¢:05163 

Berger, Marc Aron Wavelets as attractors of random dynamical systems. 92e:58127 

Bessis, Daniel Orthogonal polynomials, Padé approximations and Julia sets. 92h:30051 

(Boas, Ralph P.) see Nikishin, E. M., 92i:30037 

Brezinski, Claude * Biorthogonality and its applications to numerical analysis. 92m:41001 

Bunyak, Yu. A. Class of discrete orthogonal systems of subexponential functions. (Russian) 
92b:33015 

Chui, Charles K. (with Wang, Jian Zhong?) A cardinal spline approach to wavelets. 
92b:41019 

— (with Wang, Jian Zhong”) On compactly supported spline wavelets and a duality 
principle. 92f:41020 

Daubechies, Ingrid (with Lagarias, Jeffrey C.) Two-scale difference equations. I. Existence 
and global regularity of solutions. 92d:39001 

Delsarte, Philippe (with Genin, Yves) On the role of orthogonal polynomials on the unit 
circle in digital signal processing applications. 92b:94002 

— (with Genin, Yves) Tridiagonal approach to the algebraic environment of Toeplitz 
matrices. I. Basic results. 924:65071 

— (with Genin, Yves) Tridiagonal approach to the algebraic environment of Toeplitz 
matrices. II. Zero and eigenvalue problems. 92d:65072 

Fano, Guido Asymptotic behaviour of the coefficients of some sequence of polynomials with 
application to polynomial maps. 92¢:58114 

Gasper, George Using symbolic computer algebraic systems to derive formulas involving 
orthogonal polynomials and other special functions. 92¢:33029 

Gekhtman, M.I. (with Kalyuzhnyi, A. A.) Spectral theory of orthogonal polynomials of 
several variables. (Russian. Ukrainian summary) 92j:47034 

Genin, Yves see Delsarte, Philippe, 92b:94002; 92d:65071 and 924:65072 

Gonzilez-Vera, Pablo (with Njastad, Olav) Convergence of two-point Padé approximants 
to series of Stieltjes. 92k:41021 

Hendriksen, Erik (with van Rossum, Herman) Orthogonal moments. 92f:33013 

— (with Njastad, Olav) Biorthogonal Laurent polynomials with biorthogonal derivatives. 
92g:33015 

Ismail, Mourad El Houssieny (with Letessier, J.; Valent, G.; Wimp, Jet) Two families of 
associated Wilson polynomials. 92b:33021 

— (with Rahman, Mizan) The associated Askey-Wilson polynomials. 92c:33019 

Jones, William B. (with Njastad, Olav; Saff, E. B.) Szegé polynomials associated with 
Wiener-Levinson filters. 92e:94001 

Kalyuzhnyi, A. A. see Gekhtman, M. I., 92j:47034 

Khare, Satya Prakash (with Tripathi, Virendra Kumar) Summability of Laguerre series at 
the point x = 0. 92b:40005 

Koornwinder, Tom H. The addition formula for little g-Legendre polynomials and the SU(2) 
quantum group. 92f:33025 

— see also Van Assche, Walter, 92£:33026 

Lagarias, Jeffrey C. see Daubechies, Ingrid, 92d:39001 

Lesky, Peter, Jr. Die Vervollstandigung der diskreten klassischen Orthogonalpolynome. 
[The completion of discrete classical orthogonal polynomials] 

Letessier, J. see Ismail, Mourad El Houssieny; et al., 92b:33021 

Lyskova, A. S. Orthogonal polynomials of several variables. (Russian) 92j:33020 

Marcellin, Francisco Semiclassical orthogonal polynomials: a constructive approximation. 
(Spanish. English summary) 92c:33012 

Maroni, Pascal Introduction a I’étude des 6-polynémes orthogonaux semi-classiques. 
[Introduction to the study of semiclassical orthogonal d-polynomials}] 92c:33013 

— Variations autour des polynémes orthogonaux classiques. (English summary) [Variations 
on classical orthogonal polynomials] 92i:33007 





689 1992 


McCabe, John H. see Sri Ranga, A., 92b:30003 

Mhaskar, H. N. (with Xu, Yuan) Mean convergence of expansions in Freud-type 
orthogonal polynomials. 92a:42037 

Méricz, Ferenc A.s. behavior of the Cesaro means for quasi-orthogonal random fields. 


92g:60044 

Nikishin, E. M. (with Sorokin, V. N.) * Rational approximations and orthogonality. 
92i:30037 

Nijastad, Olav see Jones, William B.; et al., 92e:94001; Hendriksen, Erik, 92g:33015 and 
Gonzalez-Vera, Pablo, 92k:41021 : 

Peherstorfer, Franz Orthogonal and Chebyshev polynomials on two intervals. 92i:41036 

Privalov, Al. A. An orthogonal trigonometric basis. (Russian) 92f:42005 

Rahman, Mizan see Ismail, Mourad El Houssieny, 92c:33019 


Ricci, P. E. Computing Hankel determinants and orthonormal polynomial systems. (Italian. 


English summary) 92i:65087 

van Rossum, Herman see Hendriksen, Erik, 92f:33013 

Saff, E. B. see Jones, William B.; et al., 92e:94001 

Sorokin, V.N. see Nikishin, E. M., 92i:30037 

Sri Ranga, A. (with McCabe, John H.) On the extensions of some classical distributions. 
92b:30003 

Supper, Raphaéle see Avanissian, Vazgain, 92c:32002 

Torrano, Emilio (with Vinuesa Tejedor, Jaime) Laurent orthogonal polynomials: the 
Hankel-Stieltjes case. (Spanish. English summary) 92b:33027 

Tripathi, Virendra Kumar see Khare, Satya Prakash, 92b:40005 

Valent, G. see Ismail, Mourad El Houssieny; et al., 92b:33021 

Van Assche, Walter Orthogonal polynomials, associated polynomials and functions of the 
second kind. 92j:33024 

— (with Koornwinder, Tom H.) Asymptotic behaviour for Wall polynomials and the 
addition formula for little g-Legendre polynomials. 92f:33026 

Vinuesa Tejedor, Jaime see Torrano, Emilio, 92b:33027 

(Walter, Gilbert G.) see Xie, Ting Fan, 92d:44013 

Wang, Jian Zhong’ see Chui, Charles K., 92b:41019 and 92f:41020 

Wimp, Jet see Ismail, Mourad E] Houssieny; et al., 92b:33021 

Xie, Ting Fan (with Zhou, Song Ping) A remark on a paper of G. G. Walter and A. I. 
Zayed: “The continuous (a, 8)-Jacobi transform and its inverse when a + 8 + lisa 
positive integer” (Trans. Amer. Math. Soc. 305 (1988), no. 2, 653-664; MR 89g:44004]. 
924:44013 

Xu, Yuan see Mhaskar, H. N., 92a:42037 

(Zayed, Ahmed I.) see Xie, Ting Fan, 924:44013 

Zhou, Song Ping see Xie, Ting Fan, 92d:44013 


42C10 Fourier series in special orthogonal functions (Legendre 
polynomials, Walsh functions, etc.) 


Barcelé, Juan Antonio Spherical Bessel functions: convergence in L” norm. (Spanish. 
English summary) 92f:42034 


Bhatnagar, S.C. On de la Vallée-Poussin summability of a series of orthogonal polynomials. 


Boichev, Georgi S. On Laguerre series. (see 92d:30002) 

Bokaev, N. A. Fourier coefficients in a generalized Haar system. (Russian. Kazakh 
summary) 92a:42034 

Boyadzhiev, L.I. (C,5)-summability of series in Laguerre polynomials. (see 92d:30002) 

Brunetti, Maria Enrica (with Zanelli, Vanna) Fractional integration matrices for the Haar 
system. (Italian) 92m:42030 

Bugadze, V. M. Fourier-Haar series of superpositions of functions. (Russian) 92h:42036 

Darkenbaev, S. Z. Convergence of series of Fourier coefficients in multiplicative systems. 
(Russian. Kazakh summary) 

Efimov, Aleksandr Vasilevich Estimation of Fourier coefficients with respect to the 
Chrestenson-Lévy system in the ¥-locally integral metric. (Russian) 92b:42032 

— see also Golubov, B. 1.; et al., 92m:42031 

Epremidze, L. N. Convergence of Fourier-Walsh series in the space L. (Russian. English 
summary) 92f:42035 

Fomin, S. V. see Kargaev, P. P., 92a:42035 

Golubov, B. I. (with Efimov, Aleksandr Vasilevich; Skvortsov, V. A.) * Walsh series and 
transforms. 92m:42031 

Grigoryan, M.G. Convergence almost everywhere of Fourier-Legendre series of integrable 
functions. (Russian. English and Armenian summaries) 92f:42036 

— Convergence of Fourier-Walsh series in the L' metric and almost everywhere. (Russian) 
92h:42037 

Guadalupe Hernandez, José Javier (with Pérez, Mario; Ruiz Blasco, Francisco José; 
Varona, Juan Luis) Convergence in the mean of the Fourier series with respect to 
polynomials associated with the measure (1 — x)*(1 + x)’dx + Mdé_, + N6d,. (Spanish) 
(see 92a:42002) 

— (with Pérez, Mario; Ruiz Blasco, Francisco José; Varona, Juan Luis) Two notes on 


convergence and divergence a.e. of Fourier series with respect to some orthogonal systems. 


92m:42032 

Gutiérrez, José Manuel (with Varona, Juan Luis) Convergence in norm of the Fourier- 
Jacobi series with logarithmic weights. (Spanish. English summary) (see 92m:00049) 

Jain, Nem C. Fourier series of medium rank for the Fox H-functions. (Spanish) 

Kalnei, S.G. On an analogue of S. M. Nikol'skii’s theorem for Jacobi series. (Russian. 
Ukrainian summary) 92h:42038 

Karadzhov, Georgi E. Equiconvergence of Hermite series. (Russian) 92c:42028 

Kargaev, P. P. (with Fomin, S. V.) Walsh-Fourier expansions with random coefficients. 
(Russian) 92a:42035 

Khare, Satya Prakash (with Tripathi, Virendra Kumar) Summability of Jacobi series. 
92b:42033 

Lebedev, N. N. (with Skal/skaya, I. P.) Expansion of an arbitrary function in series in 
squares of Hermite polynomials. (Russian) 92a:42036 

Li, Zhong Kai On approximation of continuous functions by the Fejér sum of Fourier- 
Jacobi series. 92f:42037 

Magnitskii, N. A. A new formula for series expansion of a function of severai variables in 
the unit ball and its application for parallelizing multidimensional mappings and their 


42C Nontrigonometric Fourier analysis 


42C15 


constructive representation by artificial neural networks. (Russian) 

Mhaskar, H. N. (with Xu, Yuan) Mean convergence of expansions in Freud-type 
orthogonal polynomials. 92a:42037 

Méricz, Ferenc (with Schipp, F.) On the integrability and L'-convergence of double Walsh 
series. 92m:42033 

— (with Schipp, F.; Wade, W. R.) Cesaro summability of double Walsh-Fourier series. 
92j:42028 

Patidar, Satish Chandra see Sharma, Sushil, 92g:42017 

Pérez, Mario see Guadalupe Hernandez, José Javier; et al., 92m:42032 and (92a:42002) 

Pospelov, A.S. Some estimates for the Gibbs function for partial sums of Fourier series in 
A-multiplicative systems. (Russian) 92j:42029 

Pych-Taberska, Paulina On the rate of pointwise convergence of double Fourier-Legendre 
series. 92¢:42029 

Rodin, V. A. The space BMO and strong means of Fourier-Walsh series. (Russian) 
92j:42030 

Ruiz Blasco, Francisco José see Guadalupe Hernandez, José Javier; et al., 92m:42032 and 
(92a:42002) 

Schipp, F. On boundedly divergent Walsh-Fourier series. 92¢:42018 

— see also Méricz, Ferenc; et al., 92j:42028 and 92m:42033 

Sharma, Sushil (with Patidar, Satish Chandra) On 9g-|c,a|, summability factors of Jacobi 
series. 92g:42017 

— On order of partial sum of Laplace series. (Hindi. English summary) 92b:42034 

Skal/skaya, I. P. see Lebedev, N. N., 92a:42036 

Skvortsov, V. A. see Golubov, B. L.; et al., 92m:42031 

Thangavelu, S. On almost everywhere and mean convergence of Hermite and Laguerre 
expansions. 92¢:42030 

— Hermite expansions on R2" for radial functions. 92h:42039 

Tkebuchava, G. E. The Hardy-Littlewood maximal function and Fourier-Haar series in 
weighted function spaces. (Russian. English and Georgian summaries) 92h:42040 

Tripathi, Virendra Kumar see Khare, Satya Prakash, 92b:42033 

Varona, Juan Luis Boundedness in norm of Fourier-Neumann series. (Spanish. English 
summary) (see 92m:00049) 

— see also Guadalupe Hernandez, José Javier; et al., 92m:42032; (92a:42002) and Gutiérrez, 
José Manuel, (92m:00049) 

Viasova, E. A. Series in systems of Haar type. (Russian) 92k:42040 

Wade, W.R. see Méricz, Ferenc; et al., 92j:42028 and Golubov, B. L.; et al., 92m:42031 

Weisz, Ferenc Convergence of singular integrals. 92a:42038 

— Inequalities relative to two-parameter Vilenkin-Fourier coefficients. 92k:42041 

Xu, Yuan see Mhaskar, H. N., 92a:42037 

Zanelli, Vanna see Brunetti, Maria Enrica, 92m:42030 


Items with secondary classifications in 42C10 


Al-Hawaj, A. Y. see Bajpai, Shri Dhar, 92h:33026 

Bajpai, Shri Dhar Double and multiple half-range Fourier series of Meijer’s G-function. 
92h:33025 

— (with Al-Hawaj, A. Y.) Some double integrals and Fourier series for Fox’s H-function of 
two variables. 92h:33026 

Balci, M. On g-|C,a|, summability factors of Jacobi series. 92b:40011 

Holub, James R. On integral transforms of Haar functions. 92h:44001 

Jo6, Istvan On the divergence of eigenfunction expansions. 924:47030 

— On the summation of some expansions. 92i:34117 

Li, Zhong Kai On the degree of approximation of continuous functions by linear means of 
Fourier-Jacobi series. (Chinese summary) 92j:41033 

(Pal, Jené) see Schipp, F.; et al., 92g:42001 

Picard, Rainer H. Hilbert spaces of tempered distributions, Hermite expansions and 
sequence spaces. 92k:46065 

Qi, Dong Xu A class of self-similar structures and a new definition of Walsh functions. 
(Chinese) 92k:42036 

Sagher, Yoram (with Zhou, Ke Cheng) On an inequality of Kahane. 92j:46053 

Schipp, F. (with Wade, W. R.; Simon, Péter) * Walsh series. 92g:42001 

Simon, Péter see Schipp, F.; et al., 92g:42001 

Sutter, Erich E. The fast m-transform: a fast computation of cross-correlations with binary 
m-sequences. 924:65075 

Wade, W.R. see Schipp, F.; et al., 92g:42001 

Weideman, J. A.C. The eigenvalues of Hermite and rational spectral differentiation 
matrices. 92k:65071 

Zhou, Ke Cheng see Sagher, Yoram, 92j:46053 


42C15 Series of general orthogonal functions, generalized Fourier 
expansions, nonorthogonal expansions 


Andrienko, V. A. Rate of approximation by Riesz means of orthogonal series. (Russian) 
92b:42035 

— The rate of convergence of multiple orthogonal series. (Russian. Ukrainian summary) 
924:42012 

Argoul, F. see Arneodo, Alain; et al., (92g:42018) 

Arneodo, Alain (with Argoul, F.; Grasseau, G.) Transformation en ondelettes et renormali- 
sation. (English summary) [Wavelet transforms and renormalization] (see 92g:42018) 

Auscher, Pascal (with Tchamitchian, Philippe) Bases d’ondelettes sur les courbes corde- 
arc, noyau de Cauchy et espaces de Hardy associés. [Wavelet bases on chord-arc curves, 
Cauchy kernel and associated Hardy spaces] 92a:42039 

Avdonin, S. A. (with Ivanov, S. A.; Jo6, Istvan) On Riesz bases from vector exponentials. I, 
Il. 92m:42034 

Chuan, Toh Kim Wavelets. 

Cohen, Albert (with Froment, Jacques; Istas, Jacques) Analyse multirésolution des signaux 
aléatoires. (English summary) [Multiscale analysis of random signals] 92a:42040 

Coifman, Ronald R. Adapted multiresolution analysis, computation, signal processing and 
operator theory. (see 92m:00054) 

— (with Meyer, Yves) Remarques sur l’analyse de Fourier a fenétre. (English summary) 
[Remarks on windowed Fourier analysis] 92k:42042 





42C15 


Colella, David (with Heil, Christopher) The characterization of continuous, four-coefficient 
scaling functions and wavelets. 

Dahmen, Wolfgang (with Micchelli, Charles A.) On stationary subdivision and the 
construction of compactly supported orthonormal wavelets. 92h:42041 

David, Guy René Une nouvelle démonstration du théoréme 7(b), d’aprés Coifman et 
Semmes. (English summary) [A new proof of Theorem 7(b), following Coifman and 
Semmes] (see 92g:42018) 

Deng, Dong Gao (with Peng, Li Zhong) Wavelet analysis. (Chinese. English summary) 

Flandrin, Patrick Quelques méthodes temps-fréquence et temps-échelle en traitement 
du signal. (English summary) [Some time-frequency and time-scale methods in signal 
processing] (see 92g:42018) 

— Wavelet analysis and synthesis of fractional Brownian motion. 

Frisch, Uriel see Vergassola, M. 

Froment, Jacques (with Morel, Jean-Michel) Analyse multiéchelle, vision stéréo et 
ondelettes. (English summary) [Multiple-scale analysis, stereo vision and wavelets] (see 
92g:42018) 

— see also Cohen, Albert; et al., 92a:42040 

Getsadze, R. D. On the divergence in measure of strong means of multiple orthogonal 
Fourier series. (Russian. English and Georgian summaries) 92i:42016 

Ghez, J.-M. (with Vaienti, S.) On the wavelet analysis for multifractal sets. 92b:42036 

Grasseau, G. see Arneodo, Alain; et al., (92g:42018) 

Grigoryan, M. G. Convergence in the L'-metric and almost everywhere convergence of 
Fourier series in complete orthonormal systems. (Russian) 92a:42041 

Gréchenig, Karlheinz Describing functions: atomic decompositions versus frames. 
92m:42035 

Heil, Christopher see Colella, David 

Henrich, W. Starke Approximation von Orthogonalreihen mit Cesaroverfahren. [Strong 
approximation of orthogonal series by the Cesaro method] 92c:42031 

Herve, Loic Etude d’une équation fonctionnelle matricielle. [Study of a matrix functional 
equation] 92k:42043 

Holschneider, Matthias (with Tchamitchian, Philippe) Régularite locale de la fonction 
“non-différentiable” de Riemann. (English summary) [Local regularity of Riemann’s 
“nondifferentiable” function] (see 92g:42018) 

Husain, Syed A. Uniform summability-A of orthonormal expansions of summable 
functions. 92b:42037 

Iserles, A. (with Sanz-Serna, J. M.; Koch, Per Erik; Norsett, S. P.) Orthogonality and 
approximation in a Sobolev space. 92a:42042 

Istas, Jacques see Cohen, Albert; et al., 92a:42040 

Ivanov, S. A. see Avdonin, S. A.; et al., 92m:42034 

Janssen, A. J.E.M. The Smith-Barnwell condition and nonnegative scaling functions. 

Jo6, Istvan see Avdonin, S. A.; et al., 92m:42034 

Kasyanchuk, A. V. Problems on the convergence of series in systems { f(t" x)}°o. (Russian) 
92¢:42032 

Kazaryan, K.S. (with Ul'yanov, P. L.) Ona problem of Alexits with respect to the 
divergence of orthogonal Fourier series. (Russian) 924:42013 

— Divergent orthogonal Fourier series. (Russian) 92i:42017 

Kim, M. see Tewfik, Ahmed H. 

Koch, Per Erik see Iserles, A.; et al., 92a:42042 

Lawton, Wayne M. Multiresolution properties of the wavelet Galerkin operator. 92f:42038 

Leindler, L. On the strong and very strong summability of orthogonal series. 92m:42036 

Lemarié, Pierre Gilles Introduction a la théorie des ondelettes. (English summary) 
[Introduction to the theory of wavelets] (see 92g:42018) 

— Analyse multi-échelles et ondelettes 4 support compact. (English summary) [Multiple- 
scale analysis and compactly supported wavelets] (see 92g:42018) 

— Deux constructions de bases d’ondelettes: ondelettes a trace et ondelettes interpolantes. 
[Two constructions of wavelet bases: wavelets with trace and interpolating wavelets] 
92a:42043 

— La propriété de support minimal dans les analyses multi-résolution. (English summary) 
[The minimal-support property in multi-resolution analysis] 92:42039 

— Ondelettes vecteurs a divergence nulle. [Divergence-free vector wavelets] 92i:42018 

— (with Malgouyres, Gérard) Support des fonctions de base dans une analyse multi- 
résolution. (English summary) [Support of the scaling function in a multiresolution 
analysis] 92k:42044 

— see also Wavelets in 1989, 92g:42018 

Lyubarskii, Yu. I. Properties of systems of linear combinations of powers. (Russian) 
920:42044 

Malgouyres, Gérard see Lemarié, Pierre Gilles, 92k:42044 

Meyer, Yves Ondelettes, filtres miroirs en quadrature et traitement numérique de l’image. 
(English summary) [Wavelets, quadrature mirror filters and numerical image processing] 
(see 92g:42018) 

— Construction de bases orthonormées d’ondelettes. [Construction of orthonormal bases of 
wavelets] 92b:42038 

— Orthonormal wavelets. 92h:42042 

— see also Coifman, Ronald R., 92k:42042 

Micchelli, Charles A. A tutorial on multivariate wavelet decomposition. (see 92m:41004) 

— see also Dahmen, Wolfgang, 92h:42041 

Morel, Jean-Michel see Froment, Jacques, (92g:42018) 

Mausielak, Julian On the continuity of some embeddings with respect to two-modular 
convergence. 92b:42039 

Norsett, S. P. see Iserles, A.; et al., 92a:42042 

Olsen, Peder A. (with Seip, Kristian) A note on irregular discrete wavelet transforms. 

Peng, Li Zhong see Deng, Dong Gao; et al. 

Pérez, Mario (with Varona, Juan Luis) Weak behavior of Fourier-Jacobi series. (Spanish. 
English summary) (see 92g:00024) 

Sanz-Serna, J. M. see Iserles, A.; et al., 92a:42042 

Sedletskii, A.M. Nonharmonic Fourier series. (Russian) (see 92i:00028a) 

— Uniform convergence of nonharmonic Fourier series. (Russian) 92m:42037 

Seip, Kristian Wavelets in H?(R): sampling, interpolation, and phase space density. (see 
92k:42001) 

— see also Olsen, Peder A. 


FOURIER ANALYSIS 


1992 690 


Sharapudinov, I. I. On the approximation of discrete functions by Fourier-Hahn sums. 
(Russian summary) 92h:42043 

Tchamitchian, Philippe see Auscher, Pascal, 92a:42039 and Holschneider, Matthias, 
(92g:42018) 

Tewfik, Ahmed H. (with Kim, M.) Correlations structure of the discrete wavelet coefficients 
of fractional Brownian motion. 

Ulyanov, P. L. see Kazaryan, K. S., 92d:42013 

Vaienti, S. see Ghez, J.-M., 92b:42036 

Varona, Juan Luis see Pérez, Mario, (92g:00024) 

Vergassola, M. (with Frisch, Uriel) Wavelet transforms of self-similar processes. 

Items listed otherwise than by author 

Ondelettes en 1989 * Les ondelettes en 1989. (French) [Wavelets in 1989] 92g:42018 

Seminar: 


Harmonic Analysis * Les ondelettes en 1989. (French) [Wavelets in 1989] 92g:42018 
Wavelets in 1989 * Les ondelettes en 1989. (French) [Wavelets in 1989] 92g:42018 


Items with secondary classifications in 42C15 

Adelson, Edward H. see Simoncelli, Eero P.; et al. 

Auscher, Pascal (with Tchamitchian, Philippe) Ondelettes et conjecture de Kato. (English 
summary) [Wavelets and Kato’s conjecture] 92h:47035 

Bochkarev, S. V. Rearrangements of multiplicative systems. (Russian) 92k:42012 

Bonnet, P. (with Remond, D.) Discrete wavelets and fast wavelet transform. 92j:65203 

Calway, Andrew D. see Wilson, Roland; et al. 

Cohen, Albert Construction de bases d’ondelettes a-héldériennes. [Construction of a- 
HGlder wavelet bases] 92j:42024 

Conze, Jean-Pierre (with Raugi, Albert) Fonctions harmoniques pour un opérateur de 
transition et applications. (English summary) [Harmonic functions for a transition 
operator, and applications] 92g:60100 

Delprat, Nathalie (with Escudié, Bernard; Guillemain, Philippe; Kronland-Martinet, 
Richard; Tchamitchian, Philippe; Torrésani, Bruno) Asymptotic wavelet and Gabor 
analysis: extraction of instantaneous frequencies. 

DeVore, Ronald A. (with Jawerth, Bjérn; Lucier, Bradley J.) Image compression through 
wavelet transform coding. 

Escudié, Bernard see Delprat, Nathalie; et al. 

Filippov, V. I. Subsystems of the Faber-Schauder system in function spaces. (Russian) 
92j:46051 

Frazier, Michael (with Jawerth, Bjérn; Weiss, Guido) * Littlewood-Paley theory and the 
study of function spaces. 92m:42021 

Freeman, William T. see Simoncelli, Eero P.; et al. 

Golightly, George O. Coefficients in sine series expansions of special entire functions. II. 
92b:30029 

Gubreev, G. M. Spectral analysis of biorthogonal expansions of functions in series of 
exponentials. (Russian) 92c:47046 

Guillemain, Philippe see Delprat, Nathalie; et al. 

Heeger, David J. see Simoncelli, Eero P.; et al. 

Holschneider, Matthias Inverse Radon transforms through inverse wavelet transforms. 
92h:44003 

Husain, Syed A. (with Sehgal, V.M.) Orthonormal expansions and the principle of uniform 
boundedness. 92¢:42023 

Jaffard, Stéphane Pointwise smoothness, two-microlocalization and wavelet coefficients. 
925:46057 

— Sur la dimension de Hausdorff des points singuliers d’une fonction. (English summary) 
[On the Hausdorff dimension of the singular points of a function] 92m:28012 

Jawerth, Bjérn see Frazier, Michael; et al., 92m:42021 and DeVore, Ronald A.; et al. 

Kronland-Martinet, Richard see Delprat, Nathalie; et al. 

Lacier, Bradley J. see DeVore, Ronald A.; et al. 

Madych, W. R. Polyharmonic splines, multiscale analysis and entire functions. 92i:41017 

Meyer, Yves Ondelettes sur l’intervalle. [Wavelets on the interval] 92m:42001 

Osilenker, Boris P. The representation of the trilinear kernel in general orthogonal 
polynomials and some applications. 92k:42035 

Pearson, Edward R.S. see Wilson, Roland; et al. 

Raugi, Albert see Conze, Jean-Pierre, 92g:60100 

Reimer, Manfred * Constructive theory of multivariate functions. 92m:41003 

Remond, D. see Bonnet, P., 92j:65203 

Ryabinin, A. A. On the generalization of the Steinhaus problem on the convergence of series 
with random signs. (Russian) 92c:60043 

Sehgal, V.M. see Husain, Syed A., 92c:42023 

Sickel, Winfried A remark on orthonormal bases of compactly supported wavelets in 
Triebel-Lizorkin spaces. The case 0 < p,q < 00. 92h:46045 

Simoncelli, Eero P. (with Freeman, William T.; Adelson, Edward H.; Heeger, David J.) 
Shiftable multiscale transforms. 

Tchamitchian, Philippe see Auscher, Pascal, 92h:47035 and Delprat, Nathalie; et al. 

Torrésani, Bruno Wavelets associated with representations of the affine Weyl-Heisenberg 
group. 92j:22021 

— see also Delprat, Nathalie; et al. 

Weiss, Guido sce Frazier, Michael; et al., 92m:42021 

Wilson, Roland (with Calway, Andrew D.; Pearson, Edward R.S.) A generalized wavelet 
transform for Fourier analysis: the multiresolution Fourier transform and its application 
to image and audio signal analysis. 


42C20 Rearrangements and other transformations of Fourier and 
other orthogonal series 


Kazaryan, K.S. Improving a theorem of R. Boas and H. Pollard on multiplicative 
completion. (Russian) 92g:42019 

Miller, Paul F. X. Permutations of the Haar system. 92k:42045 

Items with secondary classifications in 42C20 

Bochkarev, S. V. Rearrangements of multiplicative systems. (Russian) 92k:42012 





691 1992 


Dorta Diaz, José A. (with Méndez Pérez, José Manuel Romulo) An extension of the finite 
Hankel-Clifford transform. (Spanish. English summary) (see 92b:00044) 

Méndez Pérez, José Manuel Romulo (with Socas Robayna, Martin M.) Dini series 
expansions in some generalized-function spaces. (Spanish. English summary) (see 


) 

— (with Socas Robayna, Martin M.) The finite Hankel-Schwartz transform of the third kind 
in some distribution spaces. (Spanish. English summary) (see 92b:00044) 

— see also Dorta Diaz, José A., (92b:00044) 

Socas Robayna, Martin M. see Méndez Pérez, José Manuel Romulo, (92b:00044) and 
(92g:00024) 

Zink, Robert E. Subsystems of the Schauder system whose orthonormalizations are 
Schauder bases for L?[0, 1]. 92a:46021 


42C30 Completeness of sets of functions 


Horvath, Miklés (with Jo6, Istvan) On Riesz bases. II. 92m:42038 

Jo6, Istvin see Horvath, Miklés, 92m:42038 

Items with secondary classifications in 42C30 

Haraux, Alain (with Jaffard, Stéphane) Pointwise and spectral control of plate vibrations. 
(French summary) 92j:93018 

Jaffard, Stéphane see Haraux, Alain, 92j:93018 


Kazaryan, K.S. Improving a theorem of R. Boas and H. Pollard on multiplicative 
completion. (Russian) 92g:42019 


42C99 None of the above, but in this section 


Items with secondary classifications in 42C99 

Beylkin, G. (with Coifman, Ronald R.; Rokhlin, Viadimir V.) Fast wavelet transforms and 
numerical algorithms. I. 92c:65061 

Coifman, Ronald R. see Beylkin, G.; et al., 92c:65061 

Khare, Satya Prakash see Singh, Amar Nath, 92c:40007 

Ramanathan, Jayakumar (with Zeitouni, Ofer) On the wavelet transform of fractional 
Brownian motion. 92b:60077 

Rokhlin, Viadimir V. see Beylkin, G.; et al., 92c:65061 

Singh, Amar Nath (with Khare, Satya Prakash) (N, p,q) summability of the Laguerre 
expansion. 92c:40007 

Urbanik, Kazimierz Analytic stochastic processes. II. 92g:60090 

Zeitouni, Ofer see Ramanathan, Jayakumar, 92b:60077 


43-XX Abstract harmonic analysis {For other 
analysis on topological and Lie groups, 
see 22Exx.} 


43-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Items with secondary classifications in 43-01 

Page, Warren * Topological uniform structures. 924:46001 

(Pal, Jené) see Schipp, F.; et al., 92g:42001 

Samuélidés, M. (with Touzillier, L.) * Analyse harmonique. (French) [Harmonic analysis] 
92£:42001 

Schipp, F. (with Wade, W. R.; Simon, Péter) * Walsh series. 92g:42001 

Simon, Péter see Schipp, F.; et al., 92g:42001 

Touzillier, L. see Samuélidés, M., 92f:42001 

Wade, W. R. see Schipp, F.; et al., 92g:42001 


43-02 Research exposition (monographs, survey articles) 


Items with secondary classifications in 43-02 
Ehrenpreis, Leon The Radon transform and tensor products. 92f:53082 


43-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 43-03 

Beurling, Arne * The collected works of Arne Beurling. Vol. 1. 92k:01046a 
— * The collected works of Arne Beurling. Vol. 2. 92k:01046b 

(Carleson, Lennart) see Beurling, Arne, 92k:01046a and 92k:01046b 
(Malliavin, Paul) see Beurling, Arne, 92k:01046a and 92k:01046b 
(Neuberger, John W.) see Beurling, Arne, 92k:01046a and 92k:01046b 
(Wermer, John) see Beurling, Arne, 92k:01046a and 92k:01046b 


Items listed otherwise than by author 
Collected Works: 
Beurling, Arne see Beurling, Arne, 92k:01046a and 92k:01046b 


43A05 Measures on groups and semigroups, etc. 


Dani, S. G. A characterization of the Cauchy-type distributions on boundaries of semisim- 
ple groups. 92h:43001 


ABSTRACT HARMONIC ANALYSIS 


43A07 


— (with Shah, Riddhi) Contraction subgroups and semistable measures on p-adic Lie 
groups. 92h:43002 

Gtowacki, Pawel The Rockland condition for nondifferential convolution operators. II. 
92¢:43001 

Hora, Akihito Quasi-invariant measures on commutative Lie groups of infinite product 
type. 92m:43001 

Host, Bernard (with Parreau, Francois) Spectral extension for measures. 92d:43001 

Izzo, Alexander J. A functional analysis proof of the existence of Haar measure on locally 
compact abelian groups. 92i:43001 

Karanikas, C. Examples of Riesz products-type measures on metrizable groups. (Italian 
summary) 924:43002 

— Inverses of measures on a class of discrete groups. 92b:43001 

Lau, Ka-Sing (with Zeng, Wei Bin) The convolution equation of Choquet and Deny on 
semigroups. 92b:43002 

Meéla, Jean-Francois Quasi-invariant measures and Fourier properties. 92j:43001 

Parreau, Francois see Host, Bernard, 92d:43001 

Shah, Riddhi see Dani, S. G., 92h:43002 

Tserpes, N. A. A note on conservative measures on semigroups. 92m:43002 

Zeng, Wei Bin see Lau, Ka-Sing, 92b:43002 


Items with secondary classifications in 43A05 


Atanasiu, Dragu Un théoréme du type Bochner-Godement et le probleme des moments. 
(English summary) [A Bochner-Godement-type theorem and the moment problem] 
92b:44009 

Dowling, Patrick N. Radon-Nikodym properties associated with subsets of countable 
discrete abelian groups. 92a:46019 

Erickson, K. Brace The strong Liouville property for a class of random walks. 924:60074 

Heyer, Herbert Convolution semigroups and potential kernels on a commutative hyper- 
group. 92¢:60003 

— (with Turnwald, Gerhard) On local integrability and transience of convolution semi- 
groups of measures. 92¢:60012 

Huang, Yung Yi Functions with a unique topological left introverted and topological left 
invariant mean value. 92k:43001 

Karanikas, C. On a class of Riesz products on metrizable groups. 92¢:42006 

Kholevo, A.S. An analog of the It6 decomposition for multiplicative processes with values 
in a Lie group. 92g:60099 

Leptin, Horst (with Miller, Detlef Horst) Uniform partitions of unity on locally compact 
groups. 92k:22006 

Liu, Jin E (with Xu, Kan) A weak limit behavior of a probability measure on locally 
compact topological semigroups. 92¢:60016 

— Limit behaviors of compositely convergent sequences of probability measures on compact 
abelian semigroups. 92f:60011 

— see also Xu, Kan, 92¢:60017 

Milnes, Paul (with Pym, J.S.) Haar measure for compact right topological groups. 
92e:22009 

Miller, Detlef Horst see Leptin, Horst, 92k:22006 

Nguyén Van Thu Semigroups in Urbanik convolution algebras. 92d:60011 

Paviakos, Panaiotis K. Convolutions and products of partially ordered vector-valued 
positive measures. 92d:46115 

Pym, J.S. see Milnes, Paul, 92e:22009 

Rangi, Albert Caractérisation d’une famille de fonctions harmoniques positives sur les 
groupes moyennables. [Characterization of a family of positive harmonic functions on 
amenable groups] 92k:60015 

Turnwald, Gerhard see Heyer, Herbert, 92c:60012 

Voit, Michael On the Fourier transformation of positive, positive definite measures on 
commutative hypergroups, and dual convolution structures. 92h:43019 

Xu, Kan (with Liu, Jin E) Limit behaviors of probability measures on compact semigroups. 
92¢:60017 

— see also Liu, Jin E, 92e:60016 


43A07 Means on groups, semigroups, etc.; amenable groups 


Blimlinger, Martin (with Obata, Nobuaki) Permutations preserving Cesaro mean, densities 
of natural numbers and uniform distribution of sequences. (French summary) 92j:43002 

Boccuto, A. (with Candeloro, D.) On the existence of continuous invariant means with 
respect to amenable semigroups. (Italian summary) 92a:43001 

Candeloro, D. see Boccuto, A., 92a:43001 

Chojnacki, Wojciech Erratum: “On a theorem of Day, a Mazur-Orlicz theorem and a 
generalization of some theorems of Silverman” [Collog. Math. 50 (1986), no. 2, 257-262; 
MR 88i:43001]. (French) 

Forrest, Brian Some Banach algebras without discontinuous derivations. 92g:43001 

— Complemented ideals in the Fourier algebra and the Radon Nikodym property. 
92m:43003 

Hao, Feng Qi Asymptotic properties of sequences of measurable subsets in locally compact 
groups. (Chinese. English summary) 92b:43003 

Huang, Yung Ya Functions with a unique topological left introverted and topological left 
invariant mean value. 92k:43001 

Miao, Tianxuan Amenability of locally compact groups and subspaces of L™(G). 
92d:43003 

— The existence of left averaging functions that are not right averaging. 92h:43003 

Nagel, Arpad A new proof of a theorem of von Neumann. (Russian) 

Obata, Nobuaki see Blimlinger, Martin, 92j:43002 

Rosenblatt, Joseph Max Automatic continuity is equivalent to uniqueness of invariant 
means. 92f:43001 

Sakai, Koukichi Some remarks on extremely amenable algebras. II. 92c:43002 

Skantharajah, Mahatheva Amenable hypergroups. 92k:43002 

White, M.C. Characters on weighted amenable groups. 92k:43003 

Yang, Zhuocheng Action of amenable groups and uniqueness of invariant means. 92):43003 

Yuan, Chuan Kuan Conjugate convolutions and inner invariant means. 92j:43004 





43A07 


Items with secondary classifications in 43A07 

Blot, Joél Le théortme de Markov-Kakutani et la presque-périodicité. (English summary) 
[The Markov-Kakutani theorem and almost periodicity] 92j:43008 

Foreman, Matthew Locally finite groups of permutations of N acting on /©. 92g:03077 

Forrest, Brian Amenability and bounded approximate identities in ideals of A(G). 
92e:43003 

Giordano, Thierry (with de la Harpe, Pierre) Groupes de tresses et moyennabilité 
intérieure. [Braid groups and inner amenability] 92m:46094 

Grigorchuk, R. I. Growth and amenability of a semigroup and its group of quotients. 
92k:20116 

de la Harpe, Pierre see Giordano, Thierry, 92m:46094 

Joita, Maria see Petrescu, Steliana, 92b:46107 

Lau, Anthony To Ming Amenability and fixed point property for semigroup of nonexpan- 
sive mappings. (French summary) 92j:47133 

Paterson, Alan L. T. Invariant mean characterizations of amenable C*-algebras. 92m:46106 

Petrescu, Steliana (with Joita, Maria) Amenable actions of Katz algebras on von Neumann 
algebras. 92b:46107 

Sunyach, Christian Sur le rayon spectral d’un noyau positif. (English summary) [On the 
spectral radius of a positive kernel] 92h:60012 


43A10 Measure algebras on groups, semigroups, etc. 


Baker, John Walter Measure algebras on semigroups. 92a:43002 

Connett, William C. (with Markett, Clemens; Schwartz, Alan L.) Convolution and 
hypergroup structures associated with a class of Sturm-Liouville systems. 92j:43005 

Ikeshoji, Kiyoshi On Plancherel measures of quotient groups and the Poisson summation 
formula. 92f:43002 

Karanikas, C. (with Koumandos, S.) Continuous singular measures with absolutely 
continuous convolution squares on locally compact groups. 92b:43004 

Koumandos, S. see Karanikas, C., 92b:43004 

Lyons, Russell The local structure of some measure-algebra homomorphisms. 92f:43003 

Markett, Clemens see Connett, William C.; et al., 92j:43005 

Patterson, Paul L. Characterizations of algebras arising from locally compact groups. 
92e:43001 

Schwartz, Alan L. see Connett, William C.; et al., 92j:43005 


Items with secondary classifications in 43A10 


Born, Eike Hemigroups of probability measures on a locally compact group. 92a:60024 

Dzinotyiweyi, Heneri A.M. Foundation semigroups and their generalization. 92a:22005 

Graham, Colin C. (with Lau, Anthony To Ming; Leinert, Michael) Continuity of translation 
and separable invariant subspaces of Banach spaces associated to locally compact groups. 
92d:43004 

— (with Lau, Anthony To Ming; Leinert, Michael) Continuity of translation in the dual of 
L(G) and related spaces. 92d:43005 

Host, Bernard (with Parreau, Francois) The generalized purity law for ergodic measures: a 
simple proof. 92b:28020 

— (with Parreau, Francois) Spectral extension for measures. 924:43001 

Huang, Yung Yi Functions with a unique topological left introverted and topological left 
invariant mean value. 92k:43001 

Lau, Anthony To Ming see Graham, Colin C.; et al., 924:43004 and 924:43005 

Leinert, Michael see Graham, Colin C.; et al., 924:43004 and 924:43005 

Méla, Jean-Francois Quasi-invariant measures and Fourier properties. 92j:43001 

Parreau, Francois see Host, Bernard, 92b:28020 and 924:43001 

Voit, Michael On the dual space of a commutative hypergroup. 924:43008 


43A15 L?-spaces and other function spaces on groups, 
semigroups, etc. 


Alspach, Dale E. (with Ulirich, David C.) Projections onto translation-invariant subspaces 
of H'(R). 92f:43004 

Bekka, Mohammed El Bachir (with Ludwig, Jean) Complemented *-primitive ideals in L!- 
algebras of exponential Lie groups and of motion groups. 92h:43004 

Graham, Colin C. (with Lau, Anthony To Ming; Leinert, Michael) Continuity of translation 
and separable invariant subspaces of Banach spaces associated to locally compact groups. 
92d:43004 

— (with Lau, Anthony To Ming; Leinert, Michael) Continuity of translation in the dual of 
L®™(G) and related spaces. 924:43005 

Gurarii, V. P. On the perspective of the harmonic analysis in weighted spaces. (see 
924:30002) 

Klotz, Latz Some approximation problems in L?-spaces of matrix-valued functions. 
92h:43005 

Lau, Anthony To Ming see Graham, Colin C.; et al., 92d:43004 and 924:43005 

Leinert, Michael see Graham, Colin C.; et al., 92d:43004 and 924:43005 

Ladwig, Jean see Bekka, Mohammed £1 Bachir, 92h:43004 

Takahashi, Yuji Translation invariant linear functionals on Segal algebras. 92a:43003 

Ullrich, David C. see Alspach, Dale E., 92f:43004 


Items with secondary classifications in 43A15 


Christ, Michael The strong maximal function on a nilpotent group. 92j:42018 

Coulhon, Thierry (with Saloff-Coste, Laurent) Semi-groupes d’opérateurs et espaces 
fonctionnels sur les groupes de Lie. (English summary) [Operator semigroups and 
function spaces on Lie groups] 92c:47049 

Forrest, Brian Some Banach algebras without discontinuous derivations. 92g:43001 

— Complemented ideals in the Fourier algebra and the Radon Nikodym property. 
92m:43003 

Furuta, Koji Algebras A, and B, and amenability of locally compact groups. 92m:43004 

Granirer, Edmond E. On convolution operators which are far from being convolution by a 
bounded measure. Expository memoir. 92m:43005a 

— Corrigendum: “On convolution operators which are far from being convolution by a 
bounded measure. Expository memoir”. 92m:43005b 


ABSTRACT HARMONIC ANALYSIS 


1992 692 


Heyer, Herbert Convolution semigroups and potential kernels on a commutative hyper- 
group. 92¢:60003 

Liu, He Ping The group Fourier transforms and multipliers of the Hardy spaces on the 
Heisenberg group. 92j:43006 

Ombe, Hitoshi Besov spaces and Bessel potential spaces on certain groups. 92¢:46066 

Ouyang, Guang Zhong Properties and multipliers of function algebras that are intersections 
of Lipschitz spaces and L;(G). (Chinese) 92h:43009 

Saloff-Coste, Laurent see Coulhon, Thierry, 92c:47049 

Skantharajah, Mahatheva Amenable hypergroups. 92k:43002 

Yuan, Chuan Kuan Conjugate convolutions and inner invariant means. 92j:43004 


43A17 Analysis on ordered groups, 4?-theory 


Asmar, Nakhlé H. (with Watson, Saleem) Harmonic conjugation in L' on compact abelian 
groups. 92h:43006 

Pigno, Lovis (with Saeki, Sadahiro) On the theorem of F. and M. Riesz. 92b:43005 

Saeki, Sadahiro see Pigno, Louis, 92b:43005 

Watson, Saleem see Asmar, Nakhlé H., 92h:43006 

Yamaguchi, Hiroshi? A property of spectrums of measures on certain transformation 
groups. 92h:43007 


Items with secondary classifications in 43A17 
Tonev, Toma V. On the I-entire functions. (see 92b:00048) 


43A20 L!-algebras on groups, semigroups, etc. 


Girkanli, A. Turan Comparison of spectras in some functional spaces. 92a:43004 

Johnson, B. E. Weak amenability of group algebras. 92k:43004 

Yu, Shu Mo Theorems of F. and M. Riesz concerning harmonic analysis of operators on the 
additive group of real numbers. (Chinese) 92f:43005 


Items with secondary classifications in 43A20 

Carcano, Giovanna Algebras of invariant functions on the Silov boundary of generalized 
half-planes. 92f:22013 

Galé, José E. Compactness properties of a locally compact group and analytic semigroups in 
the group algebra. 92i:46055 

Huang, Yung Yi Functions with a unique topological left introverted and topological left 
invariant mean value. 92k:43001 

Li, Daniel M-idéaux et analyse harmonique. [M-ideals and harmonic analysis] 92¢:46036 

Ouyang, Guang Zhong Properties and multipliers of function algebras that are intersections 
of Lipschitz spaces and L;(G). (Chinese) 92h:43009 

Pannenberg, Michael Stable rank of Fourier algebras and an application to Korovkin theory. 
92b:46077 


43A22 Homomorphisms and multipliers of function spaces on 
groups, semigroups, etc. 

Asmar, Nakhlé H. (with Berkson, Earl; Gillespie, T. A.) Transference of strong type 
maximal inequalities by separation-preserving representations. 92b:43006 

Berkson, Earl see Asmar, Nakhlé H.; et al., 92b:43006 

Candeal, Juan Carlos Vectorial extension of some results about multipliers (p, p). (see 
92b:00044) 

Furuta, Koji Algebras A, and B, and amenability of locally compact groups. 92m:43004 

Gebuhrer, Marc-Olivier Multiplicateurs radiaux sur le groupe de Heisenberg. (English 
summary) [Radial multipliers for the Heisenberg group] 92i:43002 

Gillespie, T. A. see Asmar, Nakhlé H.; et al., 92b:43006 

Granirer, Edmond E. On convolution operators which are far from being convolution by a 
bounded measure. Expository memoir. 92m:43005a 

— Corrigendum: “On convolution operators which are far from being convolution by a 
bounded measure. Expository memoir”. 92m:43005b 

Kanjin, Yaichi (with Sato, Enji) Some singular measures in M,(G). 92h:43008 

Liu, He Ping The group Fourier transforms and multipliers of the Hardy spaces on the 
Heisenberg group. 92j:43006 

Onneweer, C. W. (with Quek, T.S.) Multipliers on weighted Hardy spaces over locally 
compact Vilenkin groups. IT. 92f:43006 

Ouyang, Guang Zhong Properties and multipliers of function algebras that are intersections 
of Lipschitz spaces and L;(G). (Chinese) 92h:43009 

Pandey, S. Multipliers for weighted spaces on a locally compact abelian group. 92h:43010 

Pini, Rita A multiplier theorem for H-type groups. 92i:43003 

Quek, T.S. see Onneweer, C. W., 92f:43006 

Sato, Enji see Kanjin, Yéichi, 92h:43008 

Wood, G. V. Small isomorphisms between group algebras. 92b:43007 


Items with secondary classifications in 43A22 

Aiena, Pietro On spectral properties of multipliers. (Italian summary) 92i:46053 

Arendt, Wolfgang (with Voigt, Jiirgen) Approximation of multipliers by regular operators. 
92j:47062 

Christ, Michael L’ bounds for spectral multipliers on nilpotent groups. 92k:42017 

Detre, Peter A. Multipliers of weighted /? spaces. 92h:47033 

Galé, José E. (with Ransford, T. J.; White, M. C.) Weakly compact homomorphisms. 
92h:46074 

Godefroy, Gilles (with Lust-Piquard, Francoise) Some applications of geometry of Banach 
spaces to harmonic analysis. 924:46037 

Lust-Piquard, Francoise see Godefroy, Gilles, 92d:46037 

Lyons, Russell The local structure of some measure-algebra homomorphisms. 92£:43003 

Ransford, T. J. see Galé, José E.; et al., 92h:46074 

Takahasi, Sin-ei An extension of Helson-Edwards theorem to Banach modules. 92¢:46105 

Travaglini, Giancarlo On central multipliers for compact Lie groups. 922:43006 

Voigt, Jiirgen see Arendt, Wolfgang, 92j:47062 

White, M. C. see Galé, José E.; et al., 92h:46074 





693 1992 


Yu, Shu Mo The L'(G, A)-module homomorphism and the invariant operators from 
L?(G, A) to L?(G, X) for 1 < p < 00. (Chinese) 924:46128 


43A25 Fourier and Fourier-Stieltjes transforms on locally 
compact abelian groups 

Benedetto, John J. (with Karanikas, C.) Support dependent Fourier transform norm 
inequalities. (Italian summary) 92h:43011 

Chojnacki, Wojciech Lifting Fourier-Stieltjes transforms and transferring cocycles. 
92j:43007 

Gordon, E. I. Hyperfinite approximations of locally compact abelian groups. (Russian) 
92h:43012 

Karanikas, C. see Benedetto, John J., 92h:43011 

Kaufman, Robert P. Continuous measures and analytic sets. 92e:43002 

Tarieladze, V.1I. A uniqueness theorem for the Fourier transform. (Russian) 92h:43013 


Items with secondary classifications in 43A25 

Feichtinger, Hans G. Generalized amalgams, with applications to Fourier transform. 
92£:46038 

Leptin, Horst (with Miller, Detlef Horst) Uniform partitions of unity on locally compact 
groups. 92k:22006 

Miller, Detlef Horst see Leptin, Horst, 92k:22006 

Pigno, Louis (with Saeki, Sadahiro) On the theorem of F. and M. Riesz. 92b:43005 

Saeki, Sadahiro see Pigno, Louis, 92b:43005 

Yu, Shu Mo Theorems of F. and M. Riesz concerning harmonic analysis of operators on the 
additive group of real numbers. (Chinese) 92f:43005 


43A30 Fourier and Fourier-Stieltjes transforms on nonabelian 
groups and on semigroups, etc. 


Peloso, M. M. Central critical points in the spectrum of the Fourier-Stieltjes algebra of a 
locally compact group. (Italian summary) 92k:43005 

Ramsay, Arlan (with Walter, Martin E.) Fourier-Stieltjes algebras of locally compact 
groupoids. 92h:43014 

Waiter, Martin E. see Ramsay, Arian, 92h:43014 


Items with secondary classifications in 43A30 

Effros, Edward G. (with Ruan, Zhong-jin) Multivariable multipliers for groups and their 
operator algebras. 92c:43007 

Gracia-Bondia, José M. see Varilly, Joseph C.; et al., 92a:33012 

Nassiet, Francis Séries de Fourier a coefficients positifs. (English summary) [Fourier series 
with nonnegative coefficients] 92d:22012 

Ruan, Zhong-jin see Effros, Edward G., 92c:43007 

Schempp, Walter see Virilly, Joseph C.; et al., 92a:33012 

Tarieladze, V.I. A uniqueness theorem for the Fourier transform. (Russian) 92h:43013 

Varilly, Joseph C. (with Gracia-Bondia, José M.; Schempp, Walter) The Moyal representa- 
tion of quantum mechanics and special function theory. 92a:33012 

Voit, Michael On the Fourier transformation of positive, positive definite measures on 
commutative hypergroups, and dual convolution structures. 92h:43019 


43A32 Other transforms and operators of Fourier type 


Bray, William O. (with Solmon, Donald C.) Paley-Wiener theorems on rank one symmetric 
spaces of noncompact type. 92h:43015 
Solmon, Donald C. see Bray, William O., 92h:43015 


Items with secondary classifications in 43A32 


Yamaguchi, Hiroshi? A property of spectrums of measures on certain transformation 
groups. 92h:43007 


43A35 Positive definite functions on groups, semigroups, etc. 


Ali, Hoda A. Negative definite kernels of infinitely many variables. 92h:43016 

Atanasiu, Dragu Bi-fonctions moment. [Moment bifunctions] 92m:43006 

Bekka, Mohammed El Bachir On a question of R. Godement about the spectrum of 
positive, positive definite functions. 92¢:43003 

Bloom, Walter R. (with Ressel, Paul) Positive definite and related functions on hyper- 
groups. 92i:43004 

Friedrich, Jiirgen (with Klotz, Lutz) On different definitions of positive definiteness. 
92k:43006 

Jorgensen, Palle E.T. Integral representations for locally defined positive definite functions 
on Lie groups. 92h:43017 

Klotz, Lutz see Friedrich, Jiirgen, 92k:43006 

Maserick, Peter Harrington (with Youssfi, El Hassan) Le probléme des moments indéfini. 
(English summary) [The indefinite moment problem] 92f:43007 

Nakamura, Yoshihiro (with Sakakibara, Nobuhisa) Perfectness of certain subsemigroups of 
a perfect semigroup. 92b:43008 

Ressel, Paul see Bloom, Walter R., 92i:43004 

Sakakibara, Nobuhisa see Nakamura, Yoshihiro, 92b:43008 

Sasvari, Zoltén On a refinement of the Gel/fand-Raikov theorem. 92f:43008 

Youssfi, El] Hassan see Maserick, Peter Harrington, 92f:43007 


Items with secondary classifications in 43A35 

Friedrich, Jirgen Nevanlinna parametrization of extensions of positive definite operator- 
valued functions. 92d:47023 

Gali, I. M. (with Laila, M. M.) Stone’s theorem for a direct product of commutative 
topological groups. 92a:22003 

Heyer, Herbert Convolution semigroups and potential kernels on a commutative hyper- 
group. 92c:60003 


ABSTRACT HARMONIC ANALYSIS 


43A50 


Jorgensen, Palle E.T. Existence of smooth solutions to the classical moment problems. 
92j:44005 

Laila, M. M. see Gali, I. M., 92a:22003 

Medrecki, Andrzej Minlos’ theorem in non-Archimedean locally convex spaces. 92f:46096 

Merkle, Milan J. On positive definite functions defined on vector spaces. 92g:46058 

Molnar, Lajos Note on Saworotnow’s representation theorem on positive definite functions. 
92j:46097 

Niechwiej, Jan (with Szafraniec, Franciszek Hugon) Cosine representations of Bochner 
type. 92g:47053 

Okb El-Bab, A.S. (with Zabel, A.M.) Harmonic analysis on linear topological spaces. 
92m:46064 

Ressel, Paul (with Schmidtchen, Walter) A new characterization of Laplace functionals and 
probability generating functionals. 92j:60062 

Sasvari, Zoltén Conditionally positive definite functions and unitary group representations 
in 2\-spaces. 92b:22004 

Schmidtchen, Walter see Ressel, Paul, 92j:60062 

Stochel, Jan Characterizations of subnormal operators. 92m:47047 

Szafraniec, Franciszek Hugon see Niechwiej, Jan, 92g:47053 

Voit, Michael On the dual space of a commutative hypergroup. 92d:43008 

Yamasaki, Yasuo On norm-dependent positive definite functions. 924:46119 

Zabel, A.M. see Okb El-Bab, A. S., 92m:46064 


43A40 Character groups and dual objects 


Forrest, Brian Amenability and bounded approximate identities in ideals of A(G). 
92e:43003 


Items with secondary classifications in 43A40 


Voit, Michael On the dual space of a commutative hypergroup. 924:43008 
Vrem, Richard C. Independent sets and lacunarity for hypergroups. 92b:43013 


43A45 Spectral synthesis on groups, semigroups, etc. 

Kechris, Alexander S. (with Louveau, Alain) Covering theorems for uniqueness and 
extended uniqueness sets. 924:43006 

Louvean, Alain see Kechris, Alexander S., 92d:43006 

Parthasarathy, Krishnan (with Varma, Sujatha) On weak spectral synthesis. 92d:43007 

Triméche, K. Transmutation operators and mean-periodic functions associated with 
differential operators. 92¢:43004 

Varma, Sujatha see Parthasarathy, Krishnan, 92d:43007 

Zarrabi, Mohamed Synthése spectrale dans certaines algébres de Beurling sur le cercle unité. 
(English summary) [Spectral synthesis in certain Beurling algebras on the unit circle] 
92b:43009 

— Ensembles de synthése pour certaines algébres de Beurling. (English summary) [Sets of 
synthesis for certain Beurling algebras] 92a:43005 


Items with secondary classifications in 43A45 
Korner, T. W. A Helson set of uniqueness but not of synthesis. 92e:42007 


43A46 Special sets (thin sets, Kronecker sets, Helson sets, 
Ditkin sets, Sidon sets, etc.) 


Bukovska, Zuzana Thin sets in trigonometrical series and quasinormal convergence. 
(Russian summary) 92b:43010 

Godefroy, Gilles On coanalytic families of sets in harmonic analysis. 92b:43011 

Lee, Hung Hwan A characterization of Dirichlet sets. 92b:43012 

Vrem, Richard C. Independent sets and lacunarity for hypergroups. 92b:43013 


Items with secondary classifications in 43A46 

Benedetto, John J. (with Karanikas, C.) Support dependent Fourier transform norm 
inequalities. (Italian summary) 92h:43011 

Blei, Ron C. Fractional tensor products and P & M maps. 92m:46108 

Dowling, Patrick N. Some applications of convolution of operators on Banach spaces. 
92k:46024 

Karanikas, C. see Benedetto, John J., 92h:43011 

Kaufman, Robert P. Continuous measures and analytic sets. 92e:43002 

Kechris, Alexander S. (with Louveau, Alain) Covering theorems for uniqueness and 
extended uniqueness sets. 92d:43006 

Kholshchevnikova, N. N. On concentrated sets and N-sets. 92f:03054 

Korner, T. W. A Helson set of uniqueness but not of synthesis. 92e:42007 

Louveau, Alain see Kechris, Alexander S., 92d:43006 


43A50 Convergence of Fourier series and of inverse transforms 


Travaglini, Giancarlo A simple proof of the divergence of Fourier series on compact 
connected semisimple Lie groups. 92g:43002 


Items with secondary classifications in 43A50 

Colzani, Leonardo (with Vignati, Marco) The Hilbert transform with exponential weights. 
92¢:44004 

Corwin, Lawrence J. (with Greenleaf, Frederick P.) Uniform convergence and decay of 
Fourier series on compact nilmanifolds. 92e:22016 

Greenleaf, Frederick P. see Corwin, Lawrence J., 92e:22016 

Jiang, Song Local energy decay for the damped plate equation in exterior domains. 
92m:35041 

Vignati, Marco see Colzani, Leonardo, 92¢:44004 





43A55 


43A55 Summability methods on groups, semigroups, etc. 
[see also 40J05] 


Colzani, Leonardo (with Giulini, Saverio; Travaglini, Giancarlo; Vignati, Marco) Pointwise 
convergence of Fourier series on compact Lie groups. 92f:43009 

Giulini, Saverio see Colzani, Leonardo; et al., 92f:43009 

Travaglini, Giancarlo see Colzani, Leonardo; et al., 92f:43009 

Vignati, Marco see Colzani, Leonardo; et al., 92f:43009 


Items with secondary classifications in 43A55 

Lasser, R. (with Obermaier, J.) On Fejér means with respect to orthogonal polynomials: a 
hypergroup-theoretic approach. 92j:43009 

Obermaier, J. see Lasser, R., 92j:43009 

Strichartz, Robert S. L’ harmonic analysis and Radon transforms on the Heisenberg group. 
924:22015 

Thangavelu, S. Hermite expansions on R2” for radial functions. 92h:42039 


43A60 Almost periodic functions on groups and semigroups and 
their generalizations (recurrent functions, distal functions, 
etc.); almost automorphic functions 


Blot, Jo&l Le théoréme de Markov-Kakutani et la presque-périodicité. (English summary) 
[The Markov-Kakutani theorem and almost periodicity] 92j:43008 

Chien, Mao Ting The Fourier transform of almost periodic functions on groups. 92h:43018 

Deshpande, M. V. (with Parekh, M. N.) Compact operators on a Banach space into the 
space of almost periodic functions. 92f:43010 

Hansel, Georges (with Troallic, Jean-Pierre) On a class of weakly almost periodic 
mappings. 92¢:43005 

Lau, Anthony To Ming (with Milnes, Paul; Pym, J.S.) Compactifications of locally compact 
groups and closed subgroups. 92¢:43004 

Milnes, Paul see Lau, Anthony To Ming; et al., 92e:43004 

Parekh, M. N. see Deshpande, M. V., 92f:43010 

Pym, J.S. see Lau, Anthony To Ming; et al., 92e:43004 

Rosenblatt, Joseph Max (with Ruess, W. M.; Sentilles, D.) On the critical part of a weakly 
almost periodic function. 92k:43007 

Ruess, W. M. see Rosenblatt, Joseph Max; et al., 92k:43007 

Sentilles, D. see Rosenblatt, Joseph Max; et al., 92k:43007 

Troallic, Jean-Pierre see Hansel, Georges, 92¢:43005 


Items with secondary classifications in 43A60 

Dzinotyiweyi, Heneri A.M. Uniformly continuous and weakly almost periodic functions on 
some topological semigroups. 92¢e:22006 

Kadets, M.I. (with Lyubich, Yu. I.) On the relations between different forms of almost 
periodicity of representations of groups. (Russian) 92c:43006 

Lyubich, Yu. I. see Kadets, M. I., 92c:43006 

Schikiof, Wim H. p-adic almost periodic functions. 924:46185 

Trimeche, K. Opérateurs de permutation et analyse harmonique associés 4 des opérateurs 
aux dérivées partielles. [Permutation operators and harmonic analysis associated with 
partial differential operators] 92g:43004 


43A62 Hypergroups 


Lasser, R. (with Obermaier, J.) On Fejér means with respect to orthogonal polynomials: a 
hypergroup-theoretic approach. 92j:43009 

Obermaier, J. see Lasser, R., 92j:43009 

Voit, Michael On the dual space of a commutative hypergroup. 924:43008 

— On the Fourier transformation of positive, positive definite measures on commutative 
hypergroups, and dual convolution structures. 92h:43019 


Items with secondary classifications in 43A62 

Bloom, Walter R. (with Ressel, Paul) Positive definite and related functions on hyper- 
groups. 92i:43004 

Bouhaik, Mostafa (with Gallardo, Léonard) A Mehler-Heine formula for disk polynomials. 
92k:33008 

Gallardo, Léonard see Bouhaik, Mostafa, 92k:33008 

Ressel, Paul see Bloom, Walter R., 92i:43004 

Skantharajah, Mahatheva Amenable hypergroups. 92k:43002 

Sunder, V.S. II, factors, their bimodules and hypergroups. 92f:46076 


43A65 Representations of groups, semigroups, etc. 
[see also 22A10, 22A20, 22Dxx, 22E45] 


Asmar, Nakhié H. (with Berkson, Earl; Gillespie, T. A.) Distributional control and 
generalized analyticity. 92b:43014 

Berkson, Earl see Asmar, Nakhié H.; et al., 92b:43014 

Fendler, Gero A uniformly bounded representation associated to a free set in a discrete 
group. 924:43009 

Gillespie, T. A. see Asmar, Nakhié H.; et al., 92b:43014 

Kadets, M. I. (with Lyubich, Yu. I.) On the relations between different forms of almost 
periodicity of representations of groups. (Russian) 92¢:43006 

Lyubich, Yu. I. see Kadets, M. I., 92c:43006 

Szwarc, Ryszard Groups acting on trees and approximation properties of the Fourier 
algebra. 92e:43005 


Items with secondary classifications in 43A65 
Anoussis, Michalis Sur les caracttres des groupes de Lie résolubles. (English summary) [On 
the characters of solvable Lie groups] 92i:22009 


Asmar, Nakhlé H. (with Berkson, Earl; Gillespie, T. A.) Transference of strong type 
maximal inequalities by separation-preserving representations. 92b:43006 


ABSTRACT HARMONIC ANALYSIS 


Berkson, Earl see Asmar, Nakhlé H.; et al., 92b:43006 

Bozejko, Marek (with Fendler, Gero) Herz-Schur multipliers and uniformly bounded 
representations of discrete groups. 92k:22008 

Fendler, Gero see Bozejko, Marek, 92k:22008 

Friedrich, Jirgen Local group representations. 92g:22014 

Gali, I. M. (with Laila, M. M.) Stone’s theorem for a direct product of commutative 
topological groups. 92a:22003 

Gillespie, T. A. see Asmar, Nakhlé H.; et al., 92b:43006 

Karanikas, C. Examples of Riesz products-type measures on metrizable groups. (Italian 
summary) 92d:43002 

Khelemskii, A. Ya. * The homology of Banach and topological algebras. 924:46178 

Kuhn, Gabriella (with Steger, Tim) A characterization of spherical series representations of 
the free group. 92j:22010 

Laila, M. M. see Gali, I. M., 92a:22003 

McLean, R. G. Ona problem of Barnes and Duncan. 924:46140 

Prado, Humberto E. A geometric construction of local representations of local Lie groups. 
92j:22014 

Prélat, Daniel Local invariant functions for representations of SO(n) and Gl(n, R). 
92i:22012 

Rindler, Harald On weak containment properties. 92e:22011 

Sasvari, Zoltén On a refinement of the Gel/fand-Raikov theorem. 92f:43008 

Steger, Tim see Kuhn, Gabriella, 92j:22010 

Sun, Shan Li A spectral analysis of the isometric representation of a locally compact abelian 
group. (Chinese) 92j:47073 

(West, Alan) see Khelemskii, A. Ya., 92d:46178 


43A70 Analysis on specific locally compact abelian groups 
[see also 11R56, 22B05] 


Jiang, Hui Kun The kernels of Vallée-Poussin type on p-adic fields. 92b:43015 

Wang, Jian Dong J-type and B-type theorems in H'(K) spaces. (Chinese) 

Items with secondary classifications in 43A70 

Jiang, Hui Kun A class of approximation identity operators on local fields. (Chinese. English 
summary) 92¢e:41018 

— see also Zheng, Wei Xing; et al., 92b:11087 

Ombe, Hitoshi Besov spaces and Bessel potential spaces on certain groups. 92¢:46066 

Onneweer, C. W. (with Quek, T. S.) Multipliers on weighted Hardy spaces over locally 
compact Vilenkin groups. II. 92f:43006 

Quek, T.S. see Onneweer, C. W., 92f:43006 

Su, Wei Yi see Zheng, Wei Xing; et al., 92b:11087 

Zheng, Wei Xing (with Su, Wei Yi; Jiang, Hui Kun) A note to the concept of derivatives on 
local fields. 92b:11087 


43A75 Analysis on specific compact groups 

Pesenson, I. Z. The Bernstein inequality in representations of Lie groups. (Russian) 
92j:43010 

Travaglini, Giancarlo On central multipliers for compact Lie groups. 92a:43006 


Items with secondary classifications in 43A75 

Efimov, Aleksandr Vasilevich see Golubov, B. I.; et al., 92m:42031 

Golubov, B.1. (with Efimov, Aleksandr Vasilevich; Skvortsov, V. A.) * Walsh series and 
transforms. 92m:42031 

Karanikas, C. Examples of Riesz products-type measures on metrizable groups. (Italian 
summary) 924:43002 

(Pal, Jené) see Schipp, F.; et al., 92g:42001 

Rozenblyum, A. V. (with Rozenblyum, L. V.) Matroms of representations of the orthogonal 
group. (Russian) 92c:22030 

Rozenblyum, L. V. see Rozenblyum, A. V., 92c:22030 

Schipp, F. (with Wade, W. R.; Simon, Péter) * Walsh series. 92g:42001 

Simon, Péter see Schipp, F.; et al., 92g:42001 

Skvortsov, V. A. see Golubov, B. L.; et al., 92m:42031 

Wade, W.R. see Schipp, F.; et al., 92g:42001 and Golubov, B. 1.; et al., 92m:42031 


43A77 Analysis on general compact groups 


Items with secondary classifications in 43A77 

Corwin, Lawrence J. (with Greenleaf, Frederick P.) Uniform convergence and decay of 
Fourier series on compact nilmanifolds. 92e:22016 

Greenleaf, Frederick P. see Corwin, Lawrence J., 92e:22016 


43A80 Analysis on other specific Lie groups [see also 22Exx] 


Dziubatiski, Jacek Remark on commutative approximate identities on homogeneous 
groups. 92g:43003 

Effros, Edward G. (with Ruan, Zhong-jin) Multivariable multipliers for groups and their 
operator algebras. 92c:43007 

Ruan, Zhong-jin see Effros, Edward G., 92c:43007 

Saal, Linda The Szegé operator on SU(N, 1). 92h:43020 


Items with secondary classifications in 43A80 

Fang, Zhen Zhen see Zhang, Wei Guo; et al., 92b:22009 

Farah, Slaim Ben (with Kamoun, Lotfi) Distributions coniques sur le cone des matrices de 
rang un et de trace nulle. (English summary) [Conical distributions on the cone of rank- 
one zero-trace matrices] 92d:43010 

Folland, Gerald B. * Harmonic analysis in phase space. 92k:22017 

Guliev, V.S. Boundedness of singular integral operators on the Heisenberg group in 
weighted generalized-Hélder and weighted L,-spaces. (Russian) 92f:22014 





695 1992 


Hansen, Mogens Lemvig Weak amenability of the universal covering group of SU(1, 7). 
92a:22012 

Kamoun, Lotfi see Farah, Slaim Ben, 924:43010 

Krein, S.G. (with Pesenson, I. Z.) * IIpoctpanctsa rnaqKHx 3eMeHTOB, NOpORTeHHBIX 
npeyicTaBienHeM rpynnsi Jin. (Russian) [Spaces of smooth elements generated by the 
representation of a Lie group] 92g:22023 

Mauceri, Giancarlo (with Meda, Stefano) Vector-valued multipliers on stratified groups. 
925:42014 

Meda, Stefano see Mauceri, Giancarlo, 92j:42014 

Nahmod, Andrea R. Geometry of operators and spectral analysis on spaces of homogeneous 
type. (French summary) 92k:47098 

Pesenson, I. Z. see Krein, S. G., 92g:22023 

Pickrell, Doug Mackey analysis of infinite classical motion groups. 92g:22041 

Pini, Rita A multiplier theorem for H-type groups. 92i:43003 

Saloff-Coste, Laurent Analyse sur les groupes de Lie a croissance polynémiale. (English 
summary) [Analysis on Lie groups with polynomial growth] 92d:22014 

Zhang, Wei Guo (with Fang, Zhen Zhen) Weighted mean value theorem for solutions to the 
Kohn-Laplace equation on the Heisenberg group. (Chinese. English summary) 92b:22009 


Items listed otherwise than by author 
Annals of Mathematics Studies see Folland, Gerald B., 92k:22017 


43A85 Analysis on homogeneous spaces 


Anker, Jean-Philippe L, Fourier multipliers on Riemannian symmetric spaces of the 
noncompact type. 92¢:43006 

— A basic inequality for scattering theory on Riemannian symmetric spaces of the 
noncompact type. 92k:43008 

Delorme, Patrick (with Flensted-Jensen, M.) Towards a Paley-Wiener theorem for 
semisimple symmetric spaces. 92f:43011 

Farah, Slaim Ben (with Kamoun, Lotfi) Distributions coniques sur le céne des matrices de 
rang un et de trace nulle. (English summary) [Conical distributions on the cone of rank- 
one zero-trace matrices] 92d:43010 

Flensted-Jensen, M. see Delorme, Patrick, 92f:43011 

Kamoun, Lotfi see Farah, Slaim Ben, 92d:43010 


Items with secondary classifications in 43A85 

(Barut, A. O.) see Verdiev, I. A., 92i:22011 

Beerends, R. J. Chebyshev polynomials in several variables and the radial part of the 
Laplace-Beltrami operator. 92¢:33006 

Bray, William O. (with Solmon, Donald C.) Paley-Wiener theorems on rank one symmetric 
spaces of noncompact type. 92h:43015 

Camporesi, Roberto Harmonic analysis and propagators on homogeneous spaces. 
92a:58145 

Faraut, Jacques Espaces symétriques ordonnés et algébres de Volterra. [Ordered symmetric 
spaces and Volterra algebras] 92d:22019 

Gonzalez, Fulton B. On the range of the Radon d-plane transform and its dual. 92a:44002 

Helgason, Sigurdur The totally-geodesic Radon transform on constant curvature spaces. 
92j:53036 

Hilgert, Joachim (with Olafsson, Gestur; Orsted, Bent) Hardy spaces on affine symmetric 
spaces. 92h:22030 

Kobayashi, Toshiyuki Singular unitary representations and discrete series for indefinite 
Stiefel manifolds U(p, q; F)/U(p — m,q;F). 92f:22023 

Lipsman, Ronald L. The Penney-Fujiwara Plancherel formula for symmetric spaces. 
92b:22008 

Lohoué, Noél (with Zhu, Fu Liu) The weak estimation of certain maximal functions on the 
symmetric spaces. 92d:58202 

Molchanov, V. F. Harmonic analysis on homogeneous spaces. (Russian) 92d:22010 

Neeb, Karl-Hermann Monotone functions on symmetric spaces. 92h:53061 

Olafsson, Gestur see Hilgert, Joachim; et al., 92h:22030 

Orsted, Bent see Hilgert, Joachim; et al., 92h:22030 

Rouviere, Francois Invariant analysis and contractions of symmetric spaces. I. 92b:53082 

Sano, Shigeru The Plancherel formula for the symmetric space Gc/Gp. 92f:22015 

— Produit de convolution sur les espaces symétriques semi-simples. (English summary) 
[Convolution on semisimple symmetric spaces] 92a:22013 

Solmon, Donald C. see Bray, William O., 92h:43015 

Verdiev, I. A. *& Harmonic analysis on homogeneous spaces of SOp(1, 2). 92i:22011 

(Vilenkin, N. Ya.) see Verdiev, I. A., 92i:22011 

Yokota, Ichiro Realizations of involutive automorphisms o and G? of exceptional linear Lie 
groups G. I. G = G2, F, and Eg. 92j:22019a 

— Realizations of involutive automorphisms o and G? of exceptional linear Lie groups G. II. 
G= E>. 92j:22019b 

— Realizations of involutive automorphisms o and G’ of exceptional linear Lie groups G. 
Ill. G= Eg. 925:22019c 

Zhu, Fu Liu see Lohoué, Noéi; et al., 92d:58202 

Zirnbauer, Martin R. Fourier analysis on a hyperbolic supermanifold with constant 
curvature. 92k:58037 


43A90 Spherical functions [see also 22E45, 22E46, 33C65, 
33D55] 


Kowata, Atsutaka Spherical hyperfunctions on the tangent space of symmetric spaces. 
92h:43021 

Sekiguchi, Jirs An Euler type integral formula for zonal spherical functions on 
SOo(m, 2)/SO(m) x SO(2). 92k:43009 

Triméeche, K. Opérateurs de permutation et analyse harmonique associés a des opérateurs 
aux dérivées partielles. [Permutation operators and harmonic analysis associated with 
partial differential operators] 92g:43004 


INTEGRAL TRANSFORMS, OPERATIONAL CALCULUS 


44-03 


Items with secondary classifications in 43A90 

Anker, Jean-Philippe L, Fourier multipliers on Riemannian symmetric spaces of the 
noncompact type. 92¢e:43006 

Ismagilov, R.S. Spherical functions on a group of volume-preserving diffeomorphisms. 
(Russian) 92j:22036 

Kajima, Yasuhiro Spherical functions on some p-adic classical groups. 92g:22025 

Kowata, Atsutaka On the construction of spherical hyperfunctions on R?*?. 92h:35033 

Pytlik, Tadeusz Spherical functions and uniformly bounded representations of free groups. 
92j:22012 

Tret'yakova, N. N. Expansion of a field of quantities in an n-dimensional Euclidean space 
in spherical functions of a group of motions of this space. (Russian. English summary) 
92b:33032 


43A99 Miscellaneous topics 


Kalyuzhnyi, A. A. Duality of generators of one-dimensional compact and discrete hyper- 

compiex systems. (Russian) 92g:43005 
Massimo A. (with Taibleson, Mitchell H.) Substochastic transition operators on 

trees and their associated Poisson integrals. 92f:43012 

Pospelov, A.S. Eigenfunctions of a p-adic and a discrete Fourier transform. (Russian. 
English summary) 92f:43013 

Taibleson, Mitchell H. see Picardello, Massimo A., 92f:43012 

Vainerman, L. 1. Hypercomplex systems and finite-difference operators. (Russian) 
92g:43006 


Items with secondary classifications in 43A99 

Auslander, L. (with Tolimieri, Richard) On finite Gabor expansion of signals. 92d:94004 

Barchielli, Alberto (with Lupieri, G.) A quantum analogue of Hunt’s representation 
theorem for the generator of convolution semigroups on Lie groups. 92j:81118 

Berenstein, Carlos A. (with Casadio Tarabusi, Enrico; Cohen, Joel M.; Picardello, Massimo 
A.) Integral geometry on trees. 92g:05066 

Casadio Tarabusi, Enrico see Berenstein, Carlos A.; et al., 92g:05066 

Cohen, Joel M. see Berenstein, Carlos A.; et al., 92g:05066 

Davis, K. M. (with Gilbert, J. E.; Kunze, R. A.) Elliptic differential operators in harmonic 
analysis. I. Generalized Cauchy-Riemann systems. 92h:22020 

Gajda, Zbigniew A generalization of d’Alembert’s functional equation. 92a:39014 

Gilbert, J. E. see Davis, K. M.; et al., 92h:22020 

Kunze, R. A. see Davis, K. M.; et al., 92h:22020 

Lupieri, G. see Barchielli, Alberto, 92j:81118 

Picardello, Massimo A. see Berenstein, Carlos A.; et al., 92; 

Podkolzin, G. B. Infinitesimal algebras for the hypercomplex system SO(4)//SO(2). 
(Russian. Ukrainian summary) 92b:22005 

— The infinitesimal object of a hypercomplex system generated by double cosets, and 
nonlinear differential equations. (Russian) 92k:22009 

Székelyhidi, Laszl6 * Convolution type functional equations on topological abelian groups. 
92:39017 

Tolimieri, Richard see Auslander, L., 92d:94004 

Voit, Michael Laws of large numbers for polynomial hypergroups and some applications. 
92c:60015 

Vol’berg, A. L. Asymptotically holomorphic functions and certain of their applications. (see 
92m:00054) 


44-XX Integral transforms, operational calculus 
{For fractional derivatives and integrals, 
see 26A33. For Fourier transforms, see 
42A38, 42B10. For integral transforms 
in distribution spaces, see 46F 12. Fer 
numerical methods, see 65R10.} 


44-01 Instructional exposition (textbooks, tutorial papers, etc.) 
Grove, A.C. * An introduction to the Laplace transform and the z transform. 92g:44001 


Items with secondary classifications in 44-01 


Friedman, Bernard * Lectures on applications-oriented mathematics. 92a:00005 

Samuélidés, M. (with Touzillier, L.) * Analyse harmonique. (French) [Harmonic analysis] 
92£:42001 

Touzillier, L. see Samuélides, M., 92f:42001 

(Twersky, Victor) see Friedman, Bernard, 92a:00005 


44-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 44-03 

Deakin, Michael A. B. Operational calculus and the Laplace transform. 92e:01043a 
— Corrigendum: “Operational calculus and the Laplace transform”. 92e:01043b 
Duistermaat, J.J. M. Riesz’s families of operators. 92j:01064b 

Kamitiski, Andrzej Life and work of Professor Jan Mikusifiski. 92e:01060 
Komatsu, Hikosaburo Operational calculus and Japan. 92a:01053 

(Mikusitiski, Jan) see Kamirski, Andrzej, 92e:01060 





44-03 


Przeworska-Rolewicz, Danuta Prodigious mystery of genuine analysis. 92c:01037 

(Riesz, Marcel) see Duistermaat, J. J., 92j:01064b 

Vyborny, Rudolf Operational calculus, Laplace transform or an algebraic approach. 
92g:01057 


44-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Items with secondary classifications in 44-04 
Strain, John A fast Laplace transform based on Laguerre functions. 92¢:44001 


44-06 Proceedings, conferences, collections, etc. 


Items with secondary classifications in 44-06 

(Dimovski, Ivan H.) see Complex analysis and applications 87, 92d:30002 

(Kiryakova, Virginia S.) see Complex analysis and applications ’87, 92d:30002 

Items listed otherwise than by author 

Complex analysis and applications °87 * Complex analysis and applications ’87. 92d:30002 
Conference: 


Complex Analysis and Applications * Complex analysis and applications ’87. 92d:30002 
Varna * Complex analysis and applications 87. 924:30002 


44A05 General transforms [see also 42A38] 


Aziz, Sawsan M. An integral transformation and applications. 92m:44001 

Betancor, Jorge Juan A generalized Hankel transformation of distributions and a Cauchy 
problem involving the Bessel type operator Bay,a,,a, =X Dx" Dx™. 92j:44001 

Din’ Khoang An’ Factorization of a certain G-transform in weighted L,-spaces and its 
application to the solution of integral equations. (Russian. English summary) 92j:44002 

Holub, James R. On integral transforms of Haar functions. 92h:44001 

Kierat, Wiadysiaw (with Skérnik, Krystyna) On continuity of perfect operators in the space 
Ci). (see 924:30002) 

Kiryakova, Virginia S. see Nikoli¢-Despotovi¢, Danica, 92k:44001 

Nikoli¢-Despotovi¢é, Danica (with Kiryakova, Virginia S.) Abelian theorems for the 
Obrechkoff integral transform. (Serbo-Croatian summary) 92k:44001 

Skérnik, Krystyna see Kierat, Wiadysiaw, (92d:30002) 


Items with secondary classifications in 44A05 

Al-Bassam, M. A. On fractional operator equations and solutions of a class of third order 
differential equations. (Italian summary) 92b:33039 

Glaeske, Hans-Jirgen (with Vi Kim Tuan) Mapping properties and composition structure 
of multidimensional integral transforms. 92m:44014 

Méndez Pérez, José Manuel Romulo see Sanchez Quintana, Ana M., (92b:00044) 

Sanchez Quintana, Ana M. A generalization of Lee spaces and the modified Hankel 
transform. (Spanish. English summary) (see 92b:00044) 

— (with Méndez Pérez, José Manuel Romulo) A variant of the Hankel transform in spaces 
of Gelfand-Shilov type. (Spanish. English summary) (see 92b:00044) 

Sinha, Sunil Kumar! On two new characterizations of J transform for distributions. 
92j:46076 

Via Kim Tuan see Glaeske, Hans-Jiirgen, 92m:44014 


44A10 Laplace transform 


Balashov, L. A. (with Dreizin, Yu. A.; Mel‘nikov, M.S.) Relative proximity of functions, 
and Laplace transforms. (Russian) 92a:44001 

Barrios, Javier A. (with Betancor, Jorge Juan) On a generalization of Laplace transform due 
to E. Kratzel. 92f:44001 

Betancor, Jorge Juan see Barrios, Javier A., 92f:44001 

Bloom, Steven Hardy integral estimates for the Laplace transform. 92m:44002 

Buschman, R.G. Finite Laplace transformation. (Spanish summary) 92h:44002 

Chaurasia, V. B. L. On simultaneous operational calculus involving a product of Fox’s H- 
function and the multivariable H-function. 924:44001 

Dahiya, R.S. (with Vinayagamoorthy, M.) Laplace transform pairs of n-dimensions and 
heat conduction problem. 92g:44002 

— see also Debnath, Joyati 

Debnath, Joyati (with Dahiya, R. S.) Theorems on n-dimensional Laplace transforms and 
derivation of new pairs. 

— (with Debnath, Narayan C.) Certain theorems on associated transform. 92m:44003 

Debnath, Narayan C. see Debnath, Joyati, 92m:44003 

Dimitrovski, Dragan (with Rajovié, Miloje) The physical significance and technical 
importance of transformations of Laplace areolars. (Macedonian. French summary) 
92m:44004 

Dreizin, Yu. A. see Balashov, L. A.; et al., 92a:44001 

Garg, Mridula A study of fractional integral operators. (Hindi. English summary) 
92g:44003 

Gupta, A.C. (with Mahato, A. K.) Ona generalized Whittaker transform. 92m:44005 

Gupta, Kailash Chandra (with Soni, R.C.) On the inverse Laplace transform. 924:44002 

Inoue, Hikaru (with Shibata, Yoshihiro; Miyazaki, Haruo) Weakly perfect linear indepen- 
dency and best approximation polynomials satisfying boundary conditions. 92b:44001 

Jain, Rashmi Double convolution integral equations involving the general polynomials. 
92¢:44004 

Lluna Reig, Luis Fractional operational calculus based on the two-dimensional Laplace 
transform. (Spanish. English summary) (see 92m:00049) 

Mahato, A. K. see Gupta, A. C., 92m:44005 

Melnikov, M.S. see Balashov, L. A.; et al., 92a:44001 

Miyazaki, Haruo see Inoue, Hikaru; et al., 92b:44001 

Prasad, Narendra see Rao, V. V. L. N., 92f:44002 


INTEGRAL TRANSFORMS, OPERATIONAL CALCULUS 


Rajovi¢, Miloje see Dimitrovski, Dragan, 92m:44004 

Rao, V. V.L. N. (with Prasad, Narendra) On self-reciprocal functions. 92f:44002 

Sadek, I.S. see Yiirekli, Osman, 92g:44005 

Shibata, Yoshihiro see Inoue, Hikaru; et al., 92b:44001 

Soni, R.C. see Gupta, Kailash Chandra, 92d:44002 

Srivastava, Hari M. (with Yiirekli,Osman) A theorem on Widder’s potential transform and 
its applications. 92c:44001 

Strain, John A fast Laplace transform based on Laguerre functions. 92¢:44001 

Trione, Susana Elena On the Laplace transform of radial functions. 92m:44006 

Vinayagamoorthy, M. see Dahiya, R. S., 92g:44002 

Yiirekli, Osman (with Sadek, I. S.) A Parseval-Goldstein type theorem on the Widder 
potential transform and its applications. 92g:44005 

— see also Srivastava, Hari M., 92c:44001 

Zeinstra, Rein Zeros and regular growth of Laplace transforms along curves. 92m:44007 


Items with secondary classifications in 44A10 

Adamchik, V.S. (with Kilbas, A. A.) Asymptotics of the Laplace convolution of two Bessel 
functions. (Russian) 92j:33009 

Bertero, M. (with Pike, E.R.) Exponential-sampling method for Laplace and other 
dilationally invariant transforms. I. Singular-system analysis. 92¢:65158a 

— (with Pike, E.R.) Exponential-sampling method for Laplace and other dilationally 
invariant transforms. II. Examples in photon correlation spectroscopy and Fraunhofer 
diffraction. 92¢:65158b 

Cooke, Kenneth L. see Wiener, Joseph; et al., 92k:34010 

Dinges, Hermann Asymptotic Laplace-transforms. (see 92i:60002) 

Ershov, B. A. A stability criterion for systems of a certain type with a multivalued transfer 
function. I. (Russian. English summary) 92j:93079 

— A stability criterion for systems of a certain type with a multivalued transfer function. II. 
(Russian. English summary) 92j:93080 

Goyal, S. P. (with Vishnoi, H.R.) On the double inverse Laplace transform of the product 
of a general class of polynomials and the multivariable H-function. 92g:44008 

Grove, A.C. * An introduction to the Laplace transform and the z transform. 92g:44001 

Grubbstrém, Robert W. The z-transform of t*. 92h:44005 

Kalamkarov, A. L. (with Kudryavtsev, B. A.; Parton, V. Z.) Generalization of Fourier 
integral transform in boundary value problems for periodic nonhomogeneous medium. 
(French summary) 924:35015 

Kierat, Wiadystaw (with Skérnik, Krystyna) On continuity of perfect operators in the space 
C(). (see 92d:30002) 

Kilbas, A. A. see Adamchik, V. S., 92j:33009 

Kudryavtsev, B. A. see Kalamkarov, A. L.; et al., 92d:35015 

Lifshits, M. A. Calculation of the exact asymptotics of some Gaussian large deviations. 
(Russian) 92k:60055 

Liuna Reig, Luis On a partial differential equation of fractional order. (Spanish. English 
summary) (see 92b:00044) 

— On the partial differential equations F,2,2 + @F,y + DF = (x,y); Fy2y: + bF = O(x,y). 
(Spanish. English summary) (see 92b:00044) 

— On the partial differential equations F,s, + aF,2 + bF = (x,y) and Fs, + bF = ®(x,y). 
(Spanish. English summary) (see 92b:00044) 

Ning, Ya Qin 5‘")(t)-functions and their applications to Laplace transforms. (Chinese. 
English summary) 92i:46049 

Parton, V.Z. see Kalamkarov, A. L.; et al., 92d:35015 

Pike, E. R. see Bertero, M., 92c:65158a and 92c:65158b 

Priiss, Jan Maximal regularity of linear vector-valued parabolic Volterra equations. 
92b:47115 

Raina, R. K. A note on the multidimensional Weyl fractional operator. 92k:26009 

Rao, G. L. N. Analytic representation of certain integral transforms of a class of Schwartz 
distributions. 92k:46070 

Shah, Swarupchand M. see Wiener, Joseph; et al., 92k:34010 

Shuai, Qi Hui see Zhang, Guang Zhu; et al., 92k:30006 

Skérnik, Krystyna see Kierat, Wiadystaw, (92d:30002) 

Srivastava, Hari M. Some operational techniques in the theory of generalized Gaussian and 
Clausenian functions. 92j:33027 

Vishnoi, H. R. see Goyal, S. P., 92g:44008 

Wiener, Joseph (with Cooke, Kenneth L.; Shah, Swarupchand M.) Coexistence of analytic 
and distributional solutions for linear differential equations. II. 92k:34010 

Zhang, Guang Zhu (with Shuai, Qi Hui) A generalization of Hadamard’s complex theorem. 
(Chinese) 92k:30006 


44A12 Radon transform [see also 92C55] 


Anikonov, Yu. E. (with Shneiberg, I. Ya.) The Radon transformation with variable 
absorption. (Russian) 92¢:44002 

Boman, Jan On generalized Radon transforms with unknown measures. 92f:44003 

Casadio Tarabusi, Enrico Inversion of the X-ray transform: continuous vs. discrete. 
92f:44004 

Chernov, V.G. The Radon transform in Hemming spaces. (Russian) 92¢:44002 

Drury, S. W. A survey of k-plane transform estimates. 92b:44002 

Faridani, Adel Reconstructing from efficiently sampled data in parallel-beam computed 
tomography. (see 92h:00016) 

Gindikin, S. G. see Vvedenskaya, N. D., 92e:44003 

Gonzalez, Fulton B. On the range of the Radon d-plane transform and its dual. 92a:44002 

Holschneider, Matthias Inverse Radon transforms through inverse wavelet transforms. 
92h:44003 

Izen, Steven H. An application for a limited solid angle X-ray transform. 92d:44003 

Khenkin, G. M. (with Shananin, A. A.) Bernstein theorems and Radon transform. 
Application to the theory of production functions. 924:44004 

— (with Shananin, A. A.) Bernstein theorems and the Radon transform. Application in the 
theory of production functions. (Russian) 92f:44005 

Kuchment, P. A. (with L'vin, S. Ya.) Paley-Wiener theorem for exponential Radon 
transform. 92b:44003 





697 1992 


Kudo, Hiroyuki (with Saito, Tsuneo) Tomographic image reconstruction from incomplete 
cone beam projections by the method of convex projections. 

Kurusa, A. A characterization of the Radon transform and its dual of Euclidean space. 
921:44006 

— Acharacterization of the Radon transform’s range by a system of PDEs. 92k:44002 

Lin, S. Ya. see Kuchment, P. A., 92b:44003 

Maass, Peter A generalized Radon transform in wideband radar. 92d:44005 

Madych, W. R. Summability and approximate reconstruction from Radon transform data. 
92i:44001 

Palamodov, V. P. Some singular problems in tomography. (see 91k:44001) 

Petrov, E. E. Cavalieri conditions for a k-dimensional Radon transform. (Russian) 
92k:44003 

Ramm, A. G. Inversion of limited-angle tomographic data. 92m:44008 

Saito, Tsuneo see Kudo, Hiroyuki 

Shananin, A. A. see Khenkin, G. M., 924:44004 and 921:44005 

Shneiberg, I. Ya. see Anikonov, Yu. E., 92c:44002 

Solmon, Donald C. Nonuniqueness and the null space of the divergent beam X-ray 
transform. 924:44006 

— Two inverse problems for the exponential Radon transform. (see 92a:00040) 

Vvedenskaya, N. D. (with Gindikin, S.G.) Discrete Radon transform and image recon- 
struction. 92¢:44003 

Wang, Jin Ping Singular value decomposition for a class of generalized Radon transforms 
in n-dimensional Euclidean space. (Chinese. English summary) 92h:44004 


Items with secondary classifications in 44A12 


Bukhshtaber, V.M. (with Maslov, V. K.) Mathematical models and algorithms of 
tomographic synthesis of wave fields and inhomogeneous media. 92g:92009 

— (with Maslov, V. K.) Mathematical models and algorithms for the tomographic synthesis 
of wave fields and nonhomogeneous media. (Russian) 92b:00015 

Eckhardt, Ulrich (with Maderlechner, Gerd) Application of the projected Radon transform 
in picture processing. (see 92d:00033) 

Ehrenpreis, Leon The Radon transform and tensor products. 92f:53082 

Faridani, Adel An application of a multidimensional sampling theorem to computed 
tomography. 92¢:65159 

Gelius, L.-J. (with Johansen, I.; Sponheim, N.; Stamnes, J. J.) A generalized diffraction 
tomography algorithm. 92e:92012 

Gindikin, S.G. Some notes on the Radon transform and integral geometry. 92m:53118 

— see also Vvedenskaya, N. D., 92f:65163 

Goodey, Paul R. (with Weil, Wolfgang) Centrally symmetric convex bodies and Radon 
transforms on higher order Grassmannians. 92m:52015 

Helgason, Sigurdur The totally-geodesic Radon transform on constant curvature spaces. 
92):53036 

Izen, Steven H. Inversion of the x-ray transform from data in a limited angular range. 
92c:65160 

Johansen, I. see Gelius, L.-J.; et al., 92e:92012 

Kalra, M.S. see Munshi, P.; et al., 92f:65156 

Kuba, A. Reconstruction of measurable plane sets from their two projections taken in 
arbitrary directions. 92¢:28006 

(Lavrent'ev, M. M.) see All-Union Symposium: Computational Tomography, 92i:00012 

Maderlechner, Gerd see Eckhardt, Ulrich, (92d:00033) 

Maslov, V. K. see Bukhshtaber, V. M., 92b:00015 and 92g:92009 

Munshi, P. (with Rathore, R. K. S.; Ram, K. S.; Kalra, M.S.) Error estimates for 
tomographic inversion. 92:65156 

Natterer, Frank An inverse problem for a transport equation and integral geometry. 
924:35302 

Palamodov, V. P. Some singular problems of tomography. (Russian) 92h:65193 

Popov, D. A. On convergence of a class of algorithms for the inversion of the numerical 
Radon transform. 92g:92010 

Ram, K.S. see Munshi, P.; et al., 92f:65156 

Ramm, A. G. Solution of some integral equations arising in integral geometry. 92k:53131 

— A problem of integral geometry. 92k:53132 

— Inversion of the Radon transform with incomplete data. 92k:65189 

Rathore, R. K.S. see Munshi, P.; et al., 92f:65156 

Schuster, Dietwald Der Faltungsalgorithmus fiir dreidimensionale Radon-Probleme. 
(English summary) [Filtered backprojection for three-dimensional Radon problems] 
92¢:65162 

Sponheim, N. see Gelius, L.-J.; et al., 92e:92012 

Stamnes, J. J. see Gelius, L.-J.; et al., 92e:92012 

Stein, Elias M. (with Wainger, S.) Discrete analogues of singular Radon transforms. 
92e:42010 

Voléié, Aljosa Some problems in the tomography of homogeneous bodies. (Italian. English 
summary) 92b:92023 

VWvedenskaya, N. D. (with Gindikin, S.G.) Discrete Radon transform and the reconstruc- 
tion of images. (Russian) 92f:65163 

Wainger, S. see Stein, Elias M., 92e:42010 

Wang, Hann Tzong L? estimates for the X-ray transform restricted to line complexes of 
Kirillov type. 92j:53039 

Weil, Wolfgang see Goodey, Paul R., 92m:52015 

Zorich, A. V. Inversion of integral transformations connected with nilpotent subgroups of 
complex semisimple Lie groups. (Russian) 92e:53102 


Items listed otherwise than by author 
All-Union Symposium: 

Computational Tomography * IV Bcecoro3Hpit Cumno3nyM no BarincnuTesbHOn 
Tomorpadun. Uacts II. (Russian) [Fourth All-Union Symposium on Computational 
Tomography. Part II] 92i:00012 

Tashkent * IV Bcecow3xnbift Cun yM no Barancy HOW Tomorpadun. Uacts II. 

(Russian) [Fourth All-Union Symposium on Computational Tomography. Part II] 

92i:00012 





INTEGRAL TRANSFORMS, OPERATIONAL CALCULUS 


44A15 Special transforms (Legendre, Hilbert, etc.) 


Ahirrao, B. R. (with More, S. V.) Some Abelian theorems of distributional Hardy 
transformations. 92f:44007 

Barrios, Javier A. (with Betancor, Jorge Juan) Real inversion formulas for the Kratzel 
integral transform. (Spanish. English summary) (see 92b:00044) 

— see also Betancor, Jorge Juan, (92b:00044) 

Betancor, Jorge Juan (with Barrios, Javier A.) Asymptotic behaviors for Wright’s integral 
transform. (Spanish. English summary) (see 92b:00044) 

— On the Watson-Wright transformation on certain weighted L,-spaces. 92m:44009 

— see also Barrios, Javier A., (92b:00044) and Flores, Manuel T., (92m:00049) 

Bunch, K. J. (with Cain, W. N.; Grow, R. W.) The Z-transform method of evaluating 
partial summations in closed form. 92c:44003 

Cain, W. N. see Bunch, K. J.; et al., 92c:44003 

Colzani, Leonardo (with Vignati, Marco) The Hilbert transform with exponential weights. 
92e:44004 

Dimovski, Ivan H. (with Petrova, Radka I.) Finite integral transforms for nonlocal 
boundary value problems. (see 92d:30002) 

Dorta Diaz, José A. (with Méndez Pérez, José Manuel Romulo) An extension of the finite 
Hankel-Clifford transform. (Spanish. English summary) (see 92b:00044) 

Flores, Manuel T. (with Betancor, Jorge Juan) A generalized Hankel transform in weighted 
L,-spaces. (Spanish. English summary) (see 92m:00049) 

Garofalo, Nicola A new result on the Pompeiu problem. 92b:44004 

Glaeske, Hans-Jiirgen On the Wiener-Laguerre transform. (see 92d:30002) 

Gonzalez Rodriguez, Benito see Hayek Calil, Nacere; et al., (92b:00044) 

Grafakos, Loukas Endpoint bounds for an analytic family of Hilbert transforms. 92f:44008 

Grow, R. W. see Bunch, K. J.; et al., 92c:44003 

Grubbstrém, Robert W. The z-transform of ¢*. 92h:44005 

Hayek Calil, Nacere (with Negrin, E. R.; Gonzalez Rodriguez, Benito) A class of index 
transforms associated with Olevskii’s. (Spanish. English summary) (see 92b:00044) 

Hazou, Irene A. (with Solmon, Donald C.) Inversion of the exponential X-ray transform. II. 
Numerics. 92b:44005 

Heywood, P. (with Rooney, P.G.) On the inversion of the extended Hankel transformation. 
92m:44010 

Kerr, Fiona H. A fractional power theory for Hankel transforms in L?(R*). 92h:44006 

Lenyuk, M. P. (with Shinkarik, N. 1.) Integral Mehler-Fock transformations of the first kind 
on a polar axis with one conjugate point. (Russian) 92m:44011 

Lachko, Yu. F. (with Yakubovich, S. B.) Generating operators and convolutions for some 
integral transformation. (Russian. English summary) 92h:44007 

— see also Yakubovich, S. B., 924:44011 

McBride, A.C. (with Spratt, W. J.) On the range and invertibility of a class of Mellin 
multiplier transforms. I. 92g:44006 

Méndez Pérez, José Manuel Romulo (with Socas Robayna, Martin M.) A pair of general- 
ized Hankel-Clifford transformations and their applications. 92¢:44004 

— see also Dorta Diaz, José A., (92b:00044) 

More, S. V. see Ahirrao, B. R., 92f:44007 

Naylor, Derek On an asymptotic expansion of the Kontorovich-Lebedev transform. 
924:44007 

Negrin, E.R. The K-transformation index. 92¢:44005 

— The Lambert transform and the Bernoulli numbers. 92g:44007 

— see also Hayek Calil, Nacere; et al., (92b:00044) 

Nikolié-Despotovi¢, Danica (with Pilipovi¢, Stevan) The quasiasymptotic expansion of 
tempered distributions and the-Stieltjes transform. (Serbo-Croatian summary) 924:44008 

— (with Pilipovié, Stevan) Quasiasymptotic expansions and the Stieltjes transformation. 
(Serbo-Croatian summary) 92k:44004 

— (with Pilipovié, Stevan) On the behaviour of the Stieltjes transformation at the origin. 
(Serbo-Croatian summary) 92k:44005 

Pandey, J. N. (with Singh, Om Prakash') On the p-norm of the truncated n-dimensional 
Hilbert transform. 924:44009 

Petrova, Radka I. see Dimovski, Ivan H., (92d:30002) 

Pilipovié, Stevan see Nikoli¢-Despotovi¢, Danica, 92d:44008; 92k:44004 and 92k:44005 

Prasad, T. (with Singh, N. P.) Basic properties of Q-transform. 92h:44008 

Rieder, Andreas The wavelet transform on Sobolev spaces and its approximation properties. 
921:44009 

Rodriguez, J. A generalization of the K integral transformation. 92h:44009 

Rooney, P.G. see Heywood, P., 92m:44010 

Seip, Kristian Reproducing formulas and double orthogonality in Bargmann and Bergman 
spaces. 92¢:44006 

Shinkarik, N.I. see Lenyuk, M. P., 92m:44011 

Siddique, A. A class of generalized transform and their application in the boundary value 
problem of heat conduction. 92¢:44007 

Singh, Mangal Nath see Sinha, Sunil Kumar! 

Singh, N. P. see Prasad, T., 92h:44008 

Singh, Om Prakash' see Pandey, J. N., 92d:44009 

Sinha, Dhrub Kumar see Sinha, Sunil Kumar! 

Sinha, Sunil Kumar! On two new characterizations of the generalized Kontorovich-Lebedev 
transform for distributions of compact support. 92d:44010 

— (with Singh, Mangal Nath) On two new characterizations of the generalized Whittaker 
transform for distributions. 

— (with Sinha, Dhrub Kumar) Multi-dimensional Legendre transform for distributions. 

Socas Robayna, Martin M. see Méndez Pérez, José Manuel Romulo, 92c:44004 

Solmon, Donald C. see Hazou, Irene A., 92b:44005 

Spratt, W. J. see McBride, A. C., 92g:44006 

Stepanov, V. D. Two-weight estimates for Riemann-Liouville integrals. (Russian) 
92b:44006 

Vignati, Marco see Colzani, Leonardo, 92e:44004 

Vishwakarma, Man Bahadur Generalized Poisson transform. 92m:44012 

Yakubovich, S. B. (with Luchko, Yu. F.) Generalizations of the Leibniz rule to integral 
convolutions. (Russian. English summary) 924:44011 

— see also Luchko, Yu. F., 92h:44007 





44A15 


Items with secondary classifications in 44A15 

Basili, C. see Etim, E.; et al., 92a:81119 

van Berkel, C. A. M. see van Eijndhoven, S. J. L., 924:46063 

Bertoin, Jean Complements on the Hilbert transform and the fractional derivative of 
Brownian local times. 92f:60139 

Betancor, Jorge Juan (with Negrin, E.R.) The Hankel-Clifford transform on the spaces 
F,,- (Spanish. English summary) (see 92g:00024) 

— (with Farina Gil, Juan Carlos) On the Hankel-Clifford transform in spaces of type S. 
(Spanish. English summary) (see 92g:00024) 

— (with Negrin Aguirre, Juan Ramén) On a generalized Hankel-Schwartz transform. 
(Spanish. English summary) (see 92g:00024) 

— A generalized Hankel transformation of distributions and a Cauchy problem involving the 
Bessel type operator Bay,a,,a, =X Dx" Dx™. 92j:44001 

— Characterization of Hankel transformable generalized functions. 924:46103 

Bray, William O. (with Solmon, Donald C.) Paley-Wiener theorems on rank one symmetric 
spaces of noncompact type. 92h:43015 

Calderén, Alberto P. (with Sagher, Yoram) The Hilbert transform of the Gaussian. 
92k:35010 

Carton-Lebrun, C. Continuity and inversion of the Hilbert transform of distributions. 
92h:46057 

Colzani, Leonardo Hankel transform on Lorentz spaces. 92d:42008 

Craciunas, P.T. see Mangeron, Dumitru Ion; et al. 

van Eijndhoven, S. J. L. (with van Berkel, C. A.M.) Hankel transformations and spaces of 
type S. 924:46063 

Elliott, David see Okada, Susumu, 92k:47064 

Etim, E. (with Pallotta, M.; Basili, C.) Analytic regularisation of inversion transform 
integrals by Cesaro summability. 92a:81119 

Farifia Gil, Juan Carlos see Betancor, Jorge Juan, (92g:00024) 

Galué, Leda see Kalla, Shyam L., (92d:30002) 

Glaeske, Hans-Jiirgen see Saigo, Megumi, 92j:46074 

Grin‘ko, A. P. (with Kilbas, A. A.) Generalized fractional integrals in weighted Hélder 
spaces. (Russian. English summary) 92a:26004 

— Solution of a nonlinear differential equation with a generalized fractional derivative. 
(Russian. English summary) 92i:26011 

Gubreev, G.M. Dzhrbashyan-type integral transforms, and interpolation by entire functions 
of finite order. (Russian) 92f:30038 

Hofer, C. see Martinez, R. 

Inayat-Hussain, A. A. Mathieu integral transforms. 92b:35043 

Janssen, A. J.E.M. The Zak transform and some counterexamples in time-frequency 
analysis. 92k:94005 

Johnson, Raymond L. (with Neugebauer, C. J.) Change of variable results for A- and 
reverse Hélder RH,-classes. 92c:42019 

Kalla, Shyam L. (with Galué, Leda) Integral operators involving incomplete cylindrical 
functions. (see 92d:30002) 

— (with Kiryakova, Virginia S.) An H-function generalized fractional calculus based upon 
compositions of Erdélyi-Kober operators in Lp. 92i:26012 

Kant, Shashi (with Koul, C. L.) On multidimensional Mellin convolutions and the H- 
function transform. 92k:44006 

Kilbas, A. A. see Grin‘ko, A. P., 92a:26004 

Kiryakova, Virginia S. see Kalla, Shyam L., 92i:26012 and Nikolié-Despotovi¢, Danica, 
92k:44001 

Klusch, Dieter On the summation of Bessel functions and Hankel transforms. 92j:33013 

Koornwinder, Tom H. (with Swarttouw, René F.) On q-analogues of the Fourier and Hankel 
transforms. 92k:33013 

Koul, C. L. see Kant, Shashi, 92k:44006 

Lenyuk, M. P. see Mangeron, Dumitru Ion; et al. 

Leskovskii, I. P. Sufficient conditions for the existence of a fractional integro-differentiation 
operator. (Russian) 92g:26008 

Linares Linares, Manuel (with Méndez Pérez, José Manuel Romulo) A note on the 
generalized Bessel transform. (Spanish. English summary) (see 92b:00044) 

Lysik, Grzegorz On the structure of Mellin distributions. 92b:46057 

Mangeron, Dumitru Ion (with Lenyuk, M. P.; Craciunas, P.T.) Differential systems that 
generate classes of functions and their applications. III. Fourier-Hankel hybrid integral 
transformations of the second kind on a right-bounded axis and their applications to 
problems in mathematical physics. (Russian. French summary) 

Martinez, R. (with Hofer, C.) Plate response to a harmonic load applied uniformly over a 
circular area: the closed form evaluation of a class of Hankel transform integrals. 

Méndez Pérez, José Manuel Romulo (with Socas Robayna, Martin M.) Dini series 
expansions in some generalized-function spaces. (Spanish. English summary) (see 
92g:00024) 

— (with Negrin Aguirre, Juan Ramén) On the finite Hankel-Schwartz transformation of 
distributions. 92i:46048 

— (with Sanchez Quintana, Ana M.) The Schwartz’s Hankel transformations on certain 
spaces of generalized functions. 92f:46049 

— see also Linares Linares, Manuel, (92b:00044) and Socas Robayna, Martin M., 
(92g:00024) 

Negrin, E.R. see Betancor, Jorge Juan, (92g:00024) 

Negrin Aguirre, Juan Ramén see Méndez Pérez, José Manuel Romulo, 92i:46048 and 
Betancor, Jorge Juan, (92g:00024) 

Neugebauer, C. J. see Johnson, Raymond L., 92c:42019 

Nikoli¢-Despotovi¢, Danica (with Kiryakova, Virginia S.) Abelian theorems for the 
Obrechkoff integral transform. (Serbo-Croatian summary) 92k:44001 

Okada, Susumu (with Elliott, David) The finite Hilbert transform in 2?. 92k:47064 

Pallotta, M. see Etim, E.; et al., 92a:81119 

Pandey, J.N. see Singh, Om Prakash', 92g:46043 

Pilipovi¢, Stevan Remarks on the distributional Stieltjes transformation and the S- 
asymptotic. (Serbo-Croatian summary) 92¢:46087c 

— A topology of the Hilbert transform of Beurling ultradifferentiable functions. (Serbo- 
Croatian summary) 924:46099 


INTEGRAL TRANSFORMS, OPERATIONAL CALCULUS 


1992 698 


Radzhabov, E. L. The space of Zemanian distributions for the Bessel integral. (Russian. 
Tajiki summary) 92:46050 

Rodriguez Expésito, José A testing function space for a variant of the Kratzel integral 
transform. (Spanish. English summary) (see 92b:00044) 

Romanovich, T. N. Calculation of a class of improper integrals by the method of a hybrid 
Fourier-second kind Hankel-Fourier integral transformation. (Russian) 92m:34067 

Sadek, I.S. see Yirekli, Osman, 92g:44005 

Sagher, Yoram see Calderén, Alberto P., 92k:35010 

Saigo, Megumi (with Glaeske, Hans-Jiirgen) Fractional calculus operators involving the 
Gauss function on spaces F,,, and F,,,. 92j:46074 

Samotij, Krzysztof An example of a Hilbert transform. 92a:42015 

Sanchez Quintana, Ana M. see Méndez Pérez, José Manuel Romulo, 92f:46049 

Schempp, Walter Neurocomputer architectures. (see 92h:00021) 

Shleinikova, M. A. see Vilenkin, N. Ya., 92j:22025 

Singh, Om Prakash! (with Pandey, J. N.) The n-dimensional Hilbert transform of 
distributions, its inversion and applications. 92g:46043 

Sinha, Sunil Kumar’ Some characterizations of the extended Hankel transform for 
distributions. 92¢:46050 

Siudut, Stanislaw On the Fatou type convergence of abstract singular integrals. 92k:42024 

Socas Robayna, Martin M. (with Méndez Pérez, José Manuel Romulo) The complex 
Hankel-Clifford transformation in distribution spaces. (Spanish. English summary) (see 
92g:00024) 

— see also Méndez Pérez, José Manuel Romulo, (92g:00024) 

Solmon, Donald C. see Bray, William O., 92h:43015 

Srivastava, Namita On dual integral equations associated with Mehler Fock transform. 
92k:45014 

Suter, Bruce W. Foundations of Hankel transform algorithms. 924:65226 

Swarttouw, René F. see Koornwinder, Tom H., 92k:33013 

Szmydt, Zofia Paley-Wiener theorems for the Mellin transformation. 92¢:46090 

Triméche, K. Transmutation operators and mean-periodic functions associated with 
differential operators. 92¢:43004 

Vilenkin, N. Ya. (with Shleinikova, M. A.) Integral transformations connected with 
representations of the Lorentz group in a function space on a hyperboloid of one sheet. 
(Russian) 92j:22025 

Yiirekli, Osman (with Sadek, I. S.) A Parseval-Goldstein type theorem on the Widder 
potential transform and its applications. 92g:44005 

Zayed, Ahmed I. On Kramer’s sampling theorem associated with general Sturm-Liouville 
problems and Lagrange interpolation. 92b:34038 


44A20 Transforms of special functions 


Dorta Diaz, José A. (with Méndez Pérez, José Manuel Romulo) Expansions in series of 
Bessel-Clifford functions and associated finite transforms. (Spanish. English summary) 
(see 92m:00049) 

Galué, Leda see Kalla, Shyam L., (92d:30002) 

Gautam, G. P. (with Jaimini, B. B.) An integral involving A-function of several variables. 

Goyal, S. P. (with Vishnoi, H.R.) On the double inverse Laplace transform of the product 
of a general class of polynomials and the multivariable H-function. 92g:44008 

Grinkevich, G. V. On the compositional structure and inversion of an integral operator with 
the Saran function Fg in the kernel. (Russian) (see 92a:35004) 

Jaimini, B. B. see Gautam, G. P. 

Kalla, Shyam L. (with Galué, Leda) Integral operators involving incomplete cylindrical 
functions. (see 92d:30002) 

Khandelwal, R.S. (with Sharma, Yogendra Kumar; Singhal, Mukesh) Fractional operator 
and H-function integrals. 92g:44009 

Koul, C. L. see Sharma, S. C., 92¢:44005 

Linares Linares, Manuel (with Méndez Pérez, José Manuel Romulo) An extension of the 
Hankel integral transform. (Spanish. English summary) 92m:44013 

Mandal, B. N. (with Roy, Pallabi Guha) A Mehler-Fock type integral transform. 92f:44010 

Méndez Pérez, José Manuel Romulo see Linares Linares, Manuel, 92m:44013 and Dorta 
Diaz, José A., (92m:00049) 

Prasad, T. (with Singh, N. P.) Mellin and Laplace transform of the multivariable J- 
function. 92g:44010 

Roy, Pallabi Guha see Mandal, B. N., 92f:44010 

Sharma, S.C. (with Koul, C. L.) Fractional integral operators involving the multivariable 
H-function. 92¢:44005 

Sharma, Yogendra Kumar see Khandelwal, R. S.; et al., 92g:44009 

Singh, Akhilesh Prasad see Sinha, Sunil Kumar! , 92d:44012 

Singh, N. P. see Prasad, T., 92g:44010 

Singhal, Mukesh see Khandelwal, R. S.; et al., 92g:44009 

Sinha, Sunil Kumar! (with Singh, Akhilesh Prasad) On two new characterizations of the H- 
transform for distributions. 924:44012 

Vishnoi, H. R. see Goyal, S. P., 92g:44008 

(Walter, Gilbert G.) see Xie, Ting Fan, 924:44013 

Xie, Ting Fan (with Zhou, Song Ping) A remark on a paper of G. G. Walter and A. I. 
Zayed: “The continuous (a, £)-Jacobi transform and its inverse when a + £8 + 1 isa 
positive integer” (Trans. Amer. Math. Soc. 305 (1988), no. 2, 653-664; MR 89g:44004]. 
924:44013 

(Zayed, Ahmed I.) see Xie, Ting Fan, 92d:44013 

Zhou, Song Ping see Xie, Ting Fan, 92d:44013 

Items with secondary classifications in 44A20 

Barrios, Javier A. (with Betancor, Jorge Juan) On K, transformation of distributions. 
925:46073 

— see also Betancor, Jorge Juan, 92m:46057 

Betancor, Jorge Juan (with Barrios, Javier A.) Some classes of generalized functions 
transformable Hankel. 92m:46057 

— see also Barrios, Javier A., 92j:46073 


Garg, Mridula A study of fractional integral operators. (Hindi. English summary) 
92¢:44003 





699 1992 


Gilbert, George T. Zeros of symmetric, quasi-definite, orthogonal polynomials. 92j:42025 

Glaeske, Hans-Jiirgen On the Wiener-Laguerre transform of generalized functions. 
92a:46047 

Hardaha, D.R. A convolution theorem for the integral transform with two variables 
analogue of Jacobi polynomial. 92a:33010 

Kant, Shashi (with Koul, C. L.) On multidimensional Mellin convolutions and the H- 
function transform. 92k:44006 

Karunakaran, V. (with Soundararajan, T.) An integral of Ramanujan and the space of 
rapidly decreasing functions. 92a:46048 

Koul, C. L. see Kant, Shashi, 92k:44006 

Linares Linares, Manuel (with Méndez Pérez, José Manuel Romulo) The real distributional 
Bessel transform. (Spanish. English summary) (see 92m:00049) 

Méndez Pérez, José Manuel Romulo (with Socas Robayna, Martin M.) The Hankel-Clifford 
transform in certain distribution spaces. (Spanish. English summary) 92b:46059 

— see also Linares Linares, Manuel, (92m:00049) 

Mishra, Sadhana Some formulae involving trigonometric cosines, Bessel functions, 
generalized hypergeometric series and Fox’s H-function. (Hindi. English summary) 
92b:33044 

Moshinskii, A. I. Some integral expansions of an arbitrary function in Legendre function. 
(Russian) 92f:33014 

Rao, G. L. N. Analytic representation of certain integral transforms of a class of Schwartz 
distributions. 92k:46070 

Socas Robayna, Martin M. see Méndez Pérez, José Manuel Romulo, 92b:46059 

Soundararajan, T. see Karunakaran, V., 92a:46048 


44A30 Miultiple transforms 


Glaeske, Hans-Jiirgen (with Vi Kim Tuan) Mapping properties and composition structure 
of multidimensional integral transforms. 92m:44014 

Kant, Shashi (with Koul, C. L.) On multidimensional Mellin convolutions and the H- 
function transform. 92k:44006 

Koul, C. L. see Kant, Shashi, 92k:44006 

Nguyén Thanh Hai see Vi Kim Tuan 

Singh, Surya Narain Some theorems on the generalized multiple transform. II. (Hindi. 
English summary) 92f:44011 

Va Kim Tuan (with Nguyén Thanh Hai) A class of multidimensional Watson integral 
transformations. (Russian) 

— see also Glaeske, Hans-Jiirgen, 92m:44014 


Items with secondary classifications in 44A30 

Chaurasia, V. B. L. On simultaneous operational calculus involving a product of Fox’s H- 
function and the multivariable H-function. 924:44001 

Dahiya, R.S. (with Vinayagamoorthy, M.) Laplace transform pairs of n-dimensions and 
heat conduction problem. 92g:44002 

Goyal, S. P. (with Vishnoi, H. R.) On the double inverse Laplace transform of the product 
of a general class of polynomials and the multivariable H-function. 92g:44008 

Gupta, A.C. (with Mahato, A. K.) Ona generalized Whittaker transform. 92m:44005 

Mahato, A. K. see Gupta, A. C., 92m:44005 

Prasad, T. (with Singh, N. P.) Mellin and Laplace transform of the multivariable /- 
function. 92g:44010 

Raina, R. K. A note on the multidimensional Weyl fractional operator. 92k:26009 

Singh, N. P. see Prasad, T., 92g:44010 

Vinayagamoorthy, M. see Dahiya, R. S., 92g:44002 

Vishnoi, H. R. see Goyal, S. P., 92g:44008 


44A35 Convolution 


Jaskéiski, Mirosiaw Some convolutions on the Euclidean plane. 92f:44012 

Khlyupina, E.G. Operational calculus on a straight line that is constructed by means of a 
convolution. (Russian) 924:44014 . 

Virginia S. Convolutions of Erdélyi-Kober fractional integration operators. (see 

924:30002) 

Saigo, Megumi (with Yakubovich, S. B.) On the theory of convolution integrals for G- 
transforms. 92j:44003 

Skérnik, Krystyna On the Foias th on co 

Yakubovich, S. B. see Saigo, Megumi, 92j:44003 


Items with secondary classifications in 44A35 

Drury, S. W. (with Guo, Kang Hui) Convolution estimates related to surfaces of half the 
ambient dimension. 92j:42012 

Dziubatiski, Jacek Remark on commutative approximate identities on homogeneous 
groups. 92g:43003 

Feichtinger, Hans G. Discretization of convolution and reconstruction of band-limited 
functions from irregular sampling. 92m:42012 

Guo, Kang Hui see Drury, S. W., 92j:42012 

Hoang Ngoc Minh, V. Evaluation transform. 92g:93027 

Jain, Rashmi Double convolution integral equations involving the general polynomials. 
92¢:44004 

Jiang, Qing Tang Fractional integral operators on product spaces. (Chinese. English 
summary) 92h:42033 

Kakichev, V. A. Construction of second-order convolutions. (Chinese. English summary) 

Kecs, W. W. Applications of the algebra of convolution quotients in viscoelasticity. 
(Romanian) 92m:73067 

— see also Kecs, W. W., 92m:73067 

Kuzbekov, T. T. see Napalkov, V. V., 92b:32006 

Lachko, Yu. F. (with Yakubovich, S. B.) Generating operators and convolutions for some 
integral transformation. (Russian. English summary) 92h:44007 

Napalkov, V. V. (with Kuzbekov, T. T.) On a countable system of convolution equations. 
(Russian) 92b:32006 

Rodriguez, J. A generalization of the K integral transformation. 92h:44009 





ion. (see 92d:30002) 


INTEGRAL TRANSFORMS, OPERATIONAL CALCULUS 


— Associated operational calculus for a Bessel-Clifford operator. 92c:44007 
Yakubovich, S. B. see Luchko, Yu. F., 92h:44007 
Yulmukhametov, R.S. Homogeneous convolution equations. (Russian) 92¢:32005 


44A40 Calculus of Mikusitiski and other operational calculi 


Babiatiski, Wojciech (with Bittner, Ryszard; Latecki, Longin) Surjective operational 
calculus. (see 92d:30002) 

— (with Bittner, Ryszard) Nonlinear operational calculus. 92g:44011 

— (with Bittner, Ryszard; Latecki, Longin) The criteria for the existence and uniqueness for 
solutions of abstract differential equations. 92m:44015 

Bittner, Ryszard see Babiatiski, Wojciech, 92g:44011; 92m:44015 and (924:30002) 

Fényes, Tamas On an operational differential equation system. 92i:44002 

— On an operational differential equation. 92k:44007 

Kierat, Wladyslaw Parametric solutions of differential equations. (see 92d:30002) 

Klis, Czeslaw On a representation of the algebra .% of Mikusinski operators. 92c:44006 

Latecki, Longin see Babiatiski, Wojciech; et al., 92m:44015 and (92d:30002) 

Mikusitiski, Jan On the logarithm of the differential operator. 924:44015 

Nemzer, Dennis Periodic generalized functions. 92a:44003 

Pietka, Marek The estimation of the operational functions of the type exp[(S-?_, 8,5" )Al. 
92f:44013 

Rodriguez, J. A new convolution for a Bessel-Clifford operator and an associated opera- 
tional calculus. (Spanish. English summary) 92b:44007 

— Associated operational calculus for a Bessel-Clifford operator. 92¢:44007 

— An operational calculus associated with the operator By , = t*—” Dt!+?” Dt-¥-#-!. 
(Spanish. English summary) 92h:44010 

Schellhorn, Jean-Pierre Generalized inverses and generalized convexity. 92¢:44008 

Sharkawi, I. E. The formal solution of Mikusirtiski operational differential equations with 
variable coefficients. 92k:44008 

Skendzi¢, Marija The normal convergence of the power series in the n-dimensional 
Mikusitiski differentiation operator. (Serbo-Croatian summary) 92c:44008 

Wysocki, Hubert Distributions of finite order in the operational calculus. 92f:44014 


Items with secondary classifications in 44A40 

Aziz, Sawsan M. An integral transformation and applications. 92m:44001 

Karwowski, W. Z. (with Przeworska-Rolewicz, Danuta) Green operators for linear 
boundary value problems with a right invertible operator D". 92j:47009 

Kiryakova, Virginia S. Convolutions of Erdélyi-Kober fractional integration operators. (see 
924:30002) 

MatuSa, Josef The Fourier integral for a certain class of distributions. (Czech summary) 
92e:46089 

Mieloszyk, Eligiusz Boundary value problems for an abstract differential equation. 
92k:47025 

— Iteration of some integral 7,,,. 92m:47005 

Nemzer, Dennis Periodic Boehmians. II. 92h:46059 

Pap, Endre (with Takati, Djurdjica) On linear differential equations in spaces of locally 
integrable functions and of Mikusinski operators. 

Przeworska-Rolewicz, Danuta Smooth solutions of linear equations with scalar coefficients 
in a right invertible operator. (see 92b:90012) 

— see also Karwowski, W. Z., 92j:47009 

Sharkawi, I. E. The formal solution of a system of operator differential equations. 
92£:34007 

Skérnik, Krystyna On the Foias th on con 

Takati, Djurdjica see Pap, Endre, 92k:34006 

Vyborny, Rudolf Operational calculus, Laplace transform or an algebraic approach. 
92g:01057 








lution. (see 92d:30002) 





44A45 Classical operational calculus 


Items with secondary classifications in 44A45 

Fisher, Brian On powers of Heaviside’s function. (Serbo-Croatian summary) 92m:46053 

Guerra, J. A. (with Kalla, Shyam L.) Fractional calculus applied to the solution of 
differential equations. (Spanish. English summary) 92b:26014 

Jones, K. R. W. Riemann-Liouville fractional integration and reduced distributions on 
hyperspheres. 92d:26012 

Kalla, Shyam L. see Guerra, J. A., 92b:26014 

Saakyan, B. A. Solutions of some differential equations of fractional order. (Russian. 
English and Armenian summaries) 92¢:34007 


44A55 Discrete operational calculus 


Zheludev, V. A. An operational calculus that is connected with periodic splines. (Russian) 
92b:44008 


Items with secondary classifications in 44A55 

Frazier, Michael (with Jawerth, Bjérn) A discrete transform and decompositions of 
distribution spaces. 92a:46042 

Gonzilez-Vera, Pablo (with Santos Leén, Juan C.) Quadrature formulas of interpolation 
type based on certain rational functions. (Spanish. English summary) (see 92m:00052) 

Jawerth, Bjérn see Frazier, Michael, 92a:46042 

Santos Leén, Juan C. see Gonzalez-Vera, Pablo, (92m:00052) 


44A60 Moment problems 


Atanasiu, Dragu Un théortme du type Bochner-Godement et le probléme des moments. 
(English summary) [A Bochner-Godement-type theorem and the moment problem] 
92b:44009 

Begehr, Heinrich G. W. (with Chen, Xiu Qiu) Moment problem in R". 92f:44015 

Berg, Christian (with Thill, Marco) Rotation invariant moment problems. 92j:44004 





44A60 


Chen, Xiu Qiu see Begehr, Heinrich G. W., 92f:44015 

Ciulli, S. (with Mounsif, M.; Gorman, N.; Spearman, T. D.) On the application of 
maximum entropy to the moments problem. 92d:44016 

Duran Guardeiio, Antonio J. Characterization of rapidly decreasing functions with zero 
Stieltjes moments via a Hankel transform. (Spanish. English summary) (see 92b:00044) 

Dutta, Tapas Kumar On a metric associated with a subset of Laplace transformable function 
set. 92k:44009 

Fil'shtinskii, V. A. see Ovcharenko, I. E., 92i:44003 

Gassiat, Elisabeth Problémes des moments et concentration de mesure. (English summary) 
[The moment problem and the concentration of measures] 92¢:44009 

Girardin, Valérie (with Seghier, Abdellatif) Constructions d’extensions de suites définies 
positives. Cas multidimensionnel. (English summary) [Constructions of extensions of 
positive definite sequences. The multidimensional case] 92f:44016 

Gonzdlez-Vera, Pablo see Pérez-Acosta, Francisco; et al., 92g:44012 

Gorman, N. see Ciulli, S.; et al., 924:44016 

Jiménez Paiz, Mateo M. see Pérez-Acosta, Francisco; et al., 92g:44012 

Jergensen, Palle E.T. Existence of smooth solutions to the classical moment problems. 
92}:44005 

Kemperman, J. H. B. On sets that are uniquely determined by a restricted set of integrals. 
92b:44010 

Korobov, V. I. (with Sklyar,G.M.) The generating function method in the problem of 
moments with periodic gaps. (Russian) 92m:44016 

Martirosyan, R. M. On a condition for the solvability of the moment problem. (Russian. 
Armenian summary) 92j:44006 

Mounsif, M. see Ciulli, S.; et al., 92d:44016 

Ostrovskii, I. V. A Hausdorff moment problem. (Russian) 92e:44010 

Ovcharenko, I. E. (with Fil'shtinskii, V. A.) On the structure of a set of special subclasses in 
the solution of the one-dimensional and the two-dimensional moment problem. (Russian) 
92i:44003 

Pérez-Acosta, Francisco (with Gonzalez-Vera, Pablo; Jiménez Paiz, Mateo M.) Ona 
generalized moment problem. 92g:44012 

Rodriguez, G. (with Seatzu, S.) Numerical solution of the finite moment problem in a 
reproducing kernel Hilbert space. 92a:44004 

Schmiidgen, Konrad The K-moment problem for compact semi-algebraic sets. 92b:44011 

Seatzu, S. see Rodriguez, G., 922:44004 

Seghier, Abdellatif see Girardin, Valérie, 92f:44016 

Sklyar, G. M. see Korobov, V. I., 92m:44016 

Spearman, T. D. see Ciulli, S.; et al., 924:44016 

Thill, Marco see Berg, Christian, 92j:44004 

Viano, G. A. Solution of the Hausdorff moment problem by the use of Pollaczek polynomi- 
als. 92d:44017 

Zwaan, M. Approximation of the solution to the moment problem in a Hilbert space. 
92h:44011 


Items with secondary classifications in 44A60 


Atanasiu, Dragu Probléme des moments sur des polytopes convexes et généralisations. 
(English summary) [Moment problem for convex polytopes and generalizations] 
92h:47017 

Cioranescu, Ioana Moment sequences for ultradistributions. 92g:46039 

Dacunha-Castelle, Didier (with Gamboa, Fabrice) Maximum d’entropie et probléme des 
moments. (English summary) [Maximum entropy and the moment problem] 92a:62008 

Derkach, V. A. (with Malamud, M. M.) The resolvent matrix of a Hermitian operator and 
the moment problem with gaps. (Russian) 92¢:47029 

Friedrich, Jirgen Operator moment problems. 92f:47012 

Gamboa, Fabrice see Dacunha-Castelle, Didier, 92a:62008 

Gekhtman, M.1. (with Kalyuzhnyi, A. A.) Spectral theory of orthogonal polynomials of 
several variables. (Russian. Ukrainian summary) 92j:47034 

Genchev, Todor G. A solution of the trigonometric moment problem via Tagamlitzki’s 
“theorem of the cones”. 92h:42019 

Gonzalez-Vera, Pablo see Pérez-Acosta, Francisco, (92b:00044) 

Kalyuzhnyi, A. A. see Gekhtman, M. I., 92j:47034 

Louis, Alfred K. (with Maass, Peter) Smoothed projection methods for the moment 
problem. 924:65032 

Maass, Peter see Louis, Alfred K., 92d:65032 

Malamud, M. M. see Derkach, V. A., 92¢:47029 

Martinez, Ma. Dolores see Martinez Carracedo, Celso; et al., 924:47024 

Martinez Carracedo, Celso (with Sanz Alix, Miguel A.; Martinez, Ma. Dolores) Some 
inequalities for fractional integrals and derivatives. (Russian) 92d:47024 

Maserick, Peter Harrington (with Youssfi, El Hassan) Le probleme des moments indéfini. 
(English summary) [The indefinite moment problem] 92f:43007 

Pérez-Acosta, Francisco (with Gonzalez-Vera, Pablo) On a generalized moment problem 
involving rational functions with predetermined poles. (Spanish. English summary) (see 
92b:00044) 

Putinar, Mihai Inverse problems of perturbation theory and moment problems. 92m:47031 

Sanz Alix, Miguel A. see Martinez Carracedo, Celso; et al., 924:47024 

Stoikova, L.S. Conditions that realize the partitioning of the domain of parameters in a 
Chebyshev extremal problem. (Russian) 924:60019 

Vasin, V. V. Iterative approximation of the solution in a finite moment problem. (Russian) 

Youssfi, El Hassan see Maserick, Peter Harrington, 92f:43007 


44A99 Miscellaneous topics 


Items with secondary classifications in 44A99 

Chan, Wai Keung (with Yip, Percy Pui-Chiu) Integer sinusoidal transforms for image 
processing. 924:68118 

Fisher, Brian Neutrices and distributions. (see 92d:30002) 

Grudskii, S.M. Convolution equations on a finite interval with a small parameter 
multiplying the growing part of the symbol. (Russian) 92e:47039 


INTEGRAL TRANSFORMS, OPERATIONAL CALCULUS 


1992 700 


Lluna Reig, Luis On the partial differential equation F,s + AF,2, + BF, + ABF, = ®(x,y). 
(Spanish. English summary) (see 92b:00044) 
Yip, Percy Pui-Chiu see Chan, Wai Keung, 92d:68118 


45-XX Integral equations 


45-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Corduneanu, C. * Integral equations and applications. 92h:45001 

Pipkin, Allen C. * A course on integral equations. 92g:45001 

Porter, David (with Stirling, David S.G.) * Integral equations. 924:45001 
Stirling, David S.G. see Porter, David, 924:45001 


Items with secondary classifications in 45-01 


Mitrinovi¢, Dragoslav S. * Predavanja o diferencijalnim jednatinama. (Serbo-Croatian) 
[Lectures on differential equations] 92¢:34001 


45-02 Research exposition (monographs, survey articles) 


Huang, Lie De The efficiency of integral equation methods in mathematical problems of 
nonlinear phenomena. (see 92a:00039) 


Items with secondary classifications in 45-02 

(Case, Kenneth M.) see Modern mathematical methods in transport theory, 92h:82112 

(Greenberg, William) see Modern mathematical methods in transport theory, 92h:82112 

Hilbert, David (with Schmidt, Erhard) * Integralgleichungen und Gleichungen mit 
unendlich vielen Unbekannten. (German) [Integral equations and equations with 
infinitely many unknowns] 92b:01081 

(Pietsch, Albrecht) see Hilbert, David, 92b:01081 

(Polewczak, Jacek) see Modern mathematical methods in transport theory, 92h:82112 

Schmidt, Erhard see Hilbert, David, 92b:01081 

(Zweifel, Paul F.) see Modern mathematical methods in transport theory, 92h:82112 


Items listed otherwise than by author 
Blacksburg, VA * Modern mathematical methods in transport theory. 92h:82112 
Conference: 
Transport Theory * Modern mathematical methods in transport theory. 92h:82112 
Modern mathematical methods in transport theory * Modern mathematical methods in 
transport theory. 92h:82112 
Symposium: 
Case, Kenneth M. * Modern mathematical methods in transport theory. 92h:82112 
Zweifel, Paul * Modern mathematical methods in transport theory. 92h:82112 


45-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 45-03 


Berg, Christian (with Liitzen, Jesper) J. Liouville’s unpublished work on an integral 
operator in potential theory. A historical and mathematical analysis. 92a:01036 

(Liouville, J.) see Berg, Christian, 92a:01036 

Litzen, Jesper see Berg, Christian, 92a:01036 


45-06 Proceedings, conferences, collections, etc. 
(Babaev, Arif Aligeidarovich) see Singular integral operators, 92f:45001 
Items listed otherwise than by author 


Singular integral operators * CunrynapHbie HHTerpanbHbie onepatopsi. (Russian) [Singular 
integral operators] 92f:45001 


Items with secondary classifications in 45-06 


(Busenberg, Stavros N.) see Delay differential equations and dynamical systems, 92f:34057 

(Cooke, Kenneth L.) see Delay differential equations and dynamical systems, 92f:34057 

(Lazarov, Raicho D.) see Integral equations and inverse problems, 92b:35006 

(Martelli, Mario) see Delay differential equations and dynamical systems, 92f:34057 

(Petkov, Vesselin M.) see Integral equations and inverse problems, 92b:35006 

(Rumyantsev, V. V.) see Problems in the investigation of stability and stabilization of motion, 
92a:70002 

(Wen, Guo Chun) see Conference: Integral Equations and Boundary Value Problems, 
92:00022 


(Zhao, Zhen) see Conference: Integral Equations and Boundary Value Problems, 92f:00022 
Items listed otherwise than by author 
Beijing * International Conference on Integral Equations and Boundary Value Problems. 

92:00022 
Birthday: 

Cooke, Kenneth * Delay differential equations and dynamical systems. 92f:34057 
Claremont, CA * Delay differential equations and dynamical systems. 92f:34057 
Conference: 

Differential Equations and Applications to Biology and Population Dynamics * Delay 

differential equations and dynamical systems. 92f:34057 

Integral Equations and Boundary Value Problems * International Conference on Integral 

Equations and Boundary Value Problems. 92f:00022 





701 1992 


Conference: (cont'd. ) 

Integral Equations and Inverse Problems * Integral equations and inverse problems. 
92b:35006 

Delay differential equations and dynamical systems * Delay differential equations and 
dynamical systems. 92f:34057 

Integral equations and inverse problems * Integral equations and inverse problems. 
92b:35006 

Lecture Notes in Mathematics * Delay differential equations and dynamical systems. 
92£:34057 

Problems in the investigation of stability and stabilization of motion * 3anauH uccneqoBaHHA 
yCTOMYHBOCTH H CTa6HIH3aHH WBHxKeHHA. (Russian) [Problems in the investigation of 
stability and stabilization of motion] 92a:70002 

Varna * Integral equations and inverse problems. 92b:35006 


45A05 Linear integral equations 


Botashev, A.I. (with Talipova, L. A.) A problem of constant solutions of an algebraic 
system with variable coefficients. (Russian) 92¢:45001 

Imanaliev, M. 1. (with Sharipov, S.) The blow-up phenomenon in the theory of integral 
equations of Volterra type of the first kind. (Russian) 92m:45001 

Kangro, Raul On the smoothness of solutions to an integral equation with a kernel having a 
singularity on a curve. (Russian summary) 92¢:45002 

Kuleshov, A. A. Linear integral equations of the third kind in weighted L> spaces. II. 
(Russian) 92a:45001 

Lin, Liang Yu Nonlinear and linear singular integral equations in C”. (Chinese. English 
summary) 92k:45001 

Nimatov, Kh. An integral equation of the first kind. (Russian. Tajiki summary) 

Rana, Inder K. Unsmoothing over balls via plane wave decomposition. 92g:45002 

Sharipov, S. see Imanaliev, M. I., 92m:45001 

Talipova, L. A. see Botashev, A. I., 92e:45001 

Totik, Vilmos A conjecture of Gy. Petruska. 92b:45001 


Items with secondary classifications in 45A05 

(Birman, M. Sh.) see Estimates and asymptotics for discrete spectra of integral and 
differential equations, 92g:35153 

Budylin, A.M. (with Buslaev, V.S.) Reflection operators and their applications to 
asymptotic investigations of semiclassical integral equations. (see 92g:35153) 

Buslaev, V.S. see Budylin, A. M., (92g:35153) 

Medkova, Dagmar On the convergence of Neumann series for noncompact operators. 
92g:47004 

Nikolaev, N. Ya. see Volkodavov, V. F., 92b:35128 

Rudavskii, Yu. K. see Vakarchuk, I. A.; et al., 92c:82015 

Vakarchuk, I. A. (with Rudavskii, Yu. K.; Zubko, E. I.) One family of integral equation for 
correlation averages. 92c:82015 

Volkodavov, V.F. (with Nikolaev, N. Ya.) Boundary value problems for the Klein-Gordon 
equation. (Russian) 92b:35128 

Yanushauskas, Algimantas Non-Fredholm boundary-value probl 
elliptic equations. (see 92b:00033) 

Zaubko, E.1. see Vakarchuk, I. A.; et al., 92c:82015 


Items listed otherwise than by author 


Estimates and asymptotics for discrete spectra of integral and differential equations 
* Estimates and asymptotics for discrete spectra of integral and differential equations. 
92g:35153 

Leningrad * Estimates and asymptotics for discrete spectra of integral and differential 
equations. 92g:35153 

Seminar: 
Mathematical Physics * Estimates and asymptotics for discrete spectra of integral and 

differential equations. 92g:35153 





for multi-dimensional 


45B05 Fredholm integral equations 


Bitsadze, A. V. Singular integral equations of the first kind. (Russian) 92k:45002 

El-Kashef, A.M. On the Noether theory for integral equation of the third kind. (Arabic 
summary) 

Gahler, Siegfried (with Gahler, Werner) Product integration for integral equations of the 
second kind on the half line. 92k:45003 

Gahler, Werner see Gahler, Siegfried, 92k:45003 

Hofmann, Bernd (with Schachtzabel, H.) Uniqueness of monotone solutions to a nonlinear 
Fredholm integral equation. 92i:45001 

Kaneko, Hideaki (with Noren, Richard; Xu, Yuesheng) A characterization of the solution 
of a Fredholm integral equation with L© forcing term. 92h:45002 

Kopeé, S. Properties of maximum entropy approximate solutions to Fredholm integral 
equations. 92b:45002 

Liu, Yun Kang (with Wu, Zi Qian') Fredholm and non-Fredholm theorems for a class of 
integro-functional equations. (Chinese. English summary) 92a:45002 

Noren, Richard see Kaneko, Hideaki; et al., 92h:45002 

Schachtzabel, H. see Hofmann, Bernd, 92i:45001 

Seinfeld, John H. see Wolfenbarger, J. Kenneth, 922:45004 

Solodkii, S.G. Optimization of methods for the approximate solution of two-dimensional 
Fredholm equations with kernels and free terms in Sobolev classes. (Russian) 92a:45003 

Wolfenbarger, J. Kenneth (with Seinfeld, John H.) Regularized solutions to the aerosol data 
inversion problem. 92a:45004 

Wa, Zi Qian! see Liu, Yun Kang; et al., 92a:45002 

Xu, Yuesheng see Kaneko, Hideaki; et al., 92h:45002 


Items with secondary classifications in 45B05 


Amato, U. (with Hughes, W.) Maximum entropy regularization of Fredholm integral 
equations of the first kind. 92j:65194 


INTEGRAL EQUATIONS 


Behle, Alfred see Freter, Harald; et al., (92a:65021) 

Biswas, G. see Karanjai, S., 92k:85010 

Chibrikova, L. 1. Application of the Cauchy type integrals and their generalizations in the 
theory of automorphic functions. 92m:30081 

Damjanovi¢, Bosko Integral equations and boundary value problem for simple-connected 
regions. (Serbo-Croatian summary) 

— Integral equations and boundary value problem for multiply-connected regions. (Serbo- 
Croatian summary) 92c:30047 

Eveson, S. P. An integral equation arising from a problem in mathematical biology. 
92j:92008 

Freter, Harald (with Schrader, Jochen; Behle, Alfred) Simulation of wave propagation in 
viscoacoustic media by an integral equation method. (see 92a:65021) 

Georgiou, M. (with Olmstead, W. E.) Some Fredholm equations with boundary layer 
resonance. 92:34051 

Gribovskii, A. V. Diffraction of a wave beam by a semi-infinite plate. (Russian. English 
summary) 92¢:78012 

Haidar, Nassar H.S. On pseudo-continuities in the eigenvalue continuum of one-speed 
neutron transport theory. 

Hughes, W. see Amato, U., 92j:65194 

Karanjai, S. (with Biswas, G.) Solution of integro-differential equations by principle of 
invariance. 92k:85010 

Kratin’, Yu. I. (with Tuchkin, Yu. A.; Shestopalov, V. P.) Regularization of a boundary 
value problem on diffraction by a semitransparent lattice made of rods of arbitrary cross 
section with the Dirichlet boundary condition. (Russian) 92k:35077 

Letavin, M. I. On the well-posedness of a one-dimensional single-phase hyperbolic Stefan 
problem. (Russian) 92g:35243 

Liu, Y. W. A boundary integral equation for the two-dimensional floating-body problem. 
92b:76017 

Li, Tao Extrapolation and superconvergence of allocation solutions to weak singular 
boundary integral equations of the second kind. (Chinese) 92f:65157 

Latsev, E.M. The collocation-iterative method for solving linear Fredholm integral 
equations of the second kind. (Russian) 92a:65349 

Mityushev, V. V. A functional equation for harmonic functions in a multiply connected 
domain. (Russian) 92b:31002 

Olmstead, W. E. see Georgiou, M., 92f:34051 

Pereverzev, S. V. (with Solodkii, S.G.) Optimization of methods for the approximate 
solution of two-dimensional Fredholm equations of the second kind. (Russian. Ukrainian 
summary) 92a:65186 

Podlipenko, Yu. K. Boundary value problems for the Helmholtz equation in certain domains 
with infinite boundaries. (Russian) 92a:35045 

Schrader, Jochen see Freter, Harald; et al., (92a:65021) 

Sharipov, K. K. Estimation of the complexity of approximate solutions of multidimensional 
Fredholm equations of the second kind. (Russian) 92i:65204 

Shestopalov, V. P. see Krutin’, Yu. 1.; et al., 92k:35077 

Smagin, S.I. A new class of integral equations that lower the dimension of diffraction 
problems. (Russian) 92b:35044 

Solodkii, S. G. see Pereverzev, S. V., 92a:65186 

Tuchkin, Yu. A. see Krutin’, Yu. 1.; et al., 92k:35077 

Tumashev, Yu. S. Definition of the convolution of inverse matrices defined in the class of 
functions of two variables. (Russian) 92h:15018 

Tutunaru, S. A. A reduction method for bisingular integral equations with polynomial 
coefficients on closed Lyapunov frames. (Russian. English and Moldavian summaries) 
92j:65201 

Wang, De Ming (with Wu, Rui He) Algebraic solutions to Fredholm integral equations of 
the first kind. (Chinese. English summary) 924:65239 

Wilde, Peter Impedance boundary value problems in acoustics. (see 92a:65021) 

Wa, Rui He see Wang, De Ming; et al., 92d:65239 


45C05 Eigenvalue problems [see also 34Lxx, 35Pxx, 
45P05, 47A75] 


Ahués, Mario (with Largillier, Alain) Rayleigh-Schrédinger series versus inexact Newton 
methods for spectral computations. (see 92m:65053) 

Cobos, Fernando (with Janson, Svante; Kiihn, Thomas) On the optimal asymptotic 
eigenvalue behaviour of weakly singular integral operators. 92c:45001 

Janson, Svante see Cobos, Fernando; et al., 92c:45001 

Keller, Joseph B. see Knessl, Charles, 92h:45003 

Knessl, Charles (with Keller, Joseph B.) Asymptotic properties of eigenvalues of integral 
equations. 92h:45003 

Kihn, Thomas see Cobos, Fernando; et al., 92c:45001 

Largillier, Alain see Ahués, Mario, (92m:65053) 


Items with secondary classifications in 45C05 


Dudnikov, P.I. (with Samborskii, S. N.) Endomorphisms of semimodules over semirings 
with idempotent operation. (Russian) 92k:16059 

Kozhukhar’, P. A. A Hardy-type inequality and the absence of eigenvalues in an integral- 
difference operator. (Russian. English and Moldavian summaries) 92i:47062 

Martin, Paul Andrew Identification of irregular frequencies in simple direct integral- 
equation methods for scattcring Sy homogeneous inclusions. 92e:35119 

Samborskii, S. N. see Dudnikov, P. I., 92k:16059 

Sedletskii, A.M. The rate of decrease of eigenval 
92c:47062 


of a Fredhol 





operator. (Russian) 


45D05 Volterra integral equations [see also 34A 12] 


Asanov, A. Stability of solutions of systems of Volterra linear integral equations of the 
second kind on a half-interval. (Russian) 92f:45002 

— A system of Volterra linear integral equations of the first kind on a half-interval. (Russian) 
92:45003 





45D05 


— see also Imanaliev, M. I., 92h:45006 

Askhabov, S. N. (with Betilgiriev, M. A.) Nonlinear integral equations of convolution type 
with almost increasing kernels in cones. (Russian) 92c:45002 

Balachandran, Krishnan An existence theorem for a class of nonlinear Volterra integral 
equations. 92i:45002 

Banaé$, Jézef (with El-Sayed, Wagdy Gomaa) Monotonic solutions of a nonlinear Volterra 
integral equation. 92h:45004 

Betilgiriev, M. A. see Askhabov, S. N., 92c:45002 

Bugajewski, Dariusz On the structure of the L”'-”?-solution sets of Volterra integral 
equations in Banach spaces. 92k:45004 

Chambers, LI. G. Some properties of the functional equation g(x) = 
S(x) + Jo* a(x.y, 9(y)) dy. 92g:45003 

Corduneanu, C. Perturbation of linear abstract Volterra equations. 92a:45005 

Crisci, Maria Rosaria (with Jackiewicz, Z.; Russo, Elvira; Vecchio, A.) Stability analysis of 
discrete recurrence equations of Volterra type with degenerate kernels. 92k:45005 

Dimov, Lazo A. Solution of a class of linear Volterra integral equations of the second kind. 
(Macedonian. French summary) 92k:45006 

El-Sayed, Wagdy Gomaa see Banas, Jézef, 92h:45004 

Fan, Wei Min see Tao, Zong Ying; et al., 92g:45005 

Geidarov, B. A. On the stability of solutions of Volterra equations of the first kind of 
convolution type. (Russian) 92m:45002 

Gorenflo, Rudolf (with Vessella, Sergio) * Abel integral equations. 92e:45003 

Gryn’, V. I. Nonlinear Volterra integral equations of the first kind with an integrable 
singularity. (Russian) 92¢:45004 

Hannsgen, Kenneth B. (with Wheeler, Robert L.) Moment conditions for a Volterra integral 
equation in a Banach space. 92h:45005 

Imanaliev, M. 1. (with Asanov, A.) Solutions of systems of nonlinear two-dimensional 
Volterra integral equations of the first kind. (Russian) 92h:45006 

Islam, Muhammad Nurul Bounded solutions and periodic solutions of Volterra equations 
with infinite delay. 92g:45004 

Jackiewicz, Z. see Crisci, Maria Rosaria; et al., 92k:45005 

Januszewski, Janusz On the existence of continuous solutions of nonlinear integral 
equations in Banach spaces. 92h:45007 

Jédar, Lucas (with Navarro, Enrique) An explicit closed form solution for systems of 
Volterra integral equations. 92a:45006 

— see also Rubio Navarro, Gregorio, (92b:00044) 

Kwapisz, Jarosiaw Weighted norms and Volterra integral equations in L?-spaces. 92c:45003 

Makeev, V.I. Volterra-type integral equations of the first and the second kind, their 
application and the problem Af. (Russian) (see 92d:35005) 

Meshcherin, I. V. see Volkodavov, V. F., (92d:35003) 

Murakami, Satoru Exponential asymptotic stability for scalar linear Volterra equations. 
92a:45007 

Mydlarczyk, W. Remarks on a nonlinear Volterra equation. 924:45002 

Navarro, Enrique see Jédar, Lucas, 922:45006 

Okrasitiski, W. Nontrivial solutions to nonlinear Volterra integral equations. 92b:45003 

Pachpatte, B.G. On a generalized Volterra integral equation. (Romanian summary) 
92k:45007 

Pelczewski, Jerzy Necessary condition of optimality of the system described by Volterra’s 
integral equation. (Polish summary) 924:45003 

Pretzler, Georg A new method for numerical Abel-inversion. 92f:45004 

Rubio Navarro, Gregorio (with Jédar, Lucas) Solution of systems of Volterra integral 
equations of the second kind. (Spanish. English summary) (see 92b:00044) 

Russo, Elvira see Crisci, Maria Rosaria; et al., 92k:45005 

Sabitov, K. B. Inversion of some integral equations of Volterra type. (Russian) 92a:45008 

Sharipov, S. A mixed “revised” derivative and its application to a Volterra equation of the 
first kind with a nondifferentiable right-hand side. (Russian) 92j:45001 

Srazhidinov, A. A regularization method for Volterra integral equations of the first kind that 
is based on approximate differentiation. (Russian) 92a:45009 

Szwarc, Ryszard Nonlinear integral inequalities of the Volterra type. 92k:45008 

Tao, Zong Ying (with Fan, Wei Min; Xu, Chong Guang; Zhu, Li Ping) A mathematical 
proof of the representation theorem for statistical response of a second-order Volterra 
system to a stationary Gaussian excitation. (Chinese. English summary) 92g:45005 

Terjéki, J. A stability criterion for a linear Volterra equation of convolution type. 
92:45010 

Vecchio, A. see Crisci, Maria Rosaria; et al., 92k:45005 

Vessella, Sergio see Gorenflo, Rudolf, 92e:45003 

Volkodavov, V. F. (with Meshcherin, I. V.) Uniqueness and existence for some Volterra 
integral operators of the first and the third kind with a hypergeometric function in the 
kernels and their application. (Russian) (see 92d:35003) 

Wheeler, Robert L. see Hannsgen, Kenneth B., 92h:45005 

Xu, Chong Guang see Tao, Zong Ying; et al., 92g¢:45005 

Yin, Hong Ming On parabolic Volterra equations in several space dimensions. 92h:45008 

Zaghrout, Afaf A.S. On perturbations of nonlinear systems of Volterra integral equations. 
92a:45011 

— On perturbations of nonlinear systems of Volterra integral equations. 92k:45009 

Zhu, Li Ping see Tao, Zong Ying; et al., 92g:45005 


Items with secondary classifications in 45D05 

Abelman, S. (with Eyre, David J.) A rational basis for second-kind Abel integral equations. 
92i:45008 

Allam, M. A. M. On reduction of thermoviscoelastic equations to integral equations. I, II. 
(Arabic summary) 92i:73012 

Brewer, Dennis W. (with Powers, Robert K.) Parameter identification in a Volterra 
equation with weakly singular kernel. 92a:45025 

Corduneanu, C. Abstract Volterra equations and weak topologies. 92k:47121 

Crisci, Maria Rosaria (with Russo, Elvira; Vecchio, A.) Stability results for one-step 
discretized collocation methods in the numerical treatment of Volterra integral equations. 
92h:65197 

De Lillo, S. Initial-boundary value problem for integrable equations. 92g:35191 


INTEGRAL EQUATIONS 


1992 702 





Diekmann, Odo (with Gyllenberg, Mats; Thieme, Horst R.) Semigroups and re: 
equations on dual Banach spaces with applications to population dynamics. 92h:47053 

Eyre, David J. see Abelman, S., 92i:45008 

Gilding, Brian H. (with Kersner, Robert) Diffusion-convection-réaction, frontiéres libres 
et une équation intégrale. (English summary) [Diffusion-convection-reaction, free 
boundaries and an integral equation] 92k:35144 

Gilliam, David S. (with Mair, Bernard A.) Stability of a convolution method for inverse 
heat conduction problems. 92m:35270 

Gyllenberg, Mats see Diekmann, Odo; et al., 92h:47053 

Imanaliev, M. 1. (with Sharipov, S.) The blow-up phenomenon in the theory of integral 
equations of Volterra type of the first kind. (Russian) 92m:45001 

Jédar, Lucas Explicit closed-form solution of coupled systems of Volterra integrodifferential 
systems. 92j:45003 

Karpukhin, Yu. P. The problem A, in an unbounded domain. (Russian) 92m:35156 

Kersner, Robert see Gilding, Brian H., 92k:35144 

Kogut, P. I. *& YcroHunpocts 4 ONTHMasIbHaA CTa6umH3alHA ypaBsIAeMBIX Mpomeccos, 
OMMCbIBaeMBIX HHTErpasIbHbIMH ypaBHeHHsMH Bonsteppa. (Russian) [Stability and optimal 
stabilization of controllable processes that can be described by Volterra integral equations] 
92b:93070 

Logunov, S. L. Stability estimates for solutions of conditionally well-posed problems on a set 
of functions satisfying the Hélder condition. (Russian) 92g:35030 

Mair, Bernard A. see Gilliam, David S., 92m:35270 

Meshcherin, I. V. Solution of a problem using Volterra integral equations of the first and 
second kind. (Russian) 92j:35111 

Mydlarczyk, W. Galerkin methods for multidimensional nonlinear Volterra type equations. 
92f:65158 

Powers, Robert K. see Brewer, Dennis W., 92a:45025 

Rodionova, I. N. The A-problem for the generalized Euler-Darboux equation in the right 
half-plane. (Russian) 92m:35157 

Russo, Elvira see Crisci, Maria Rosaria; et al., 92h:65197 

Sakhabieva, G. A. On an inversion formula and its application. (Russian) 92m:35158 

Sharipov, S. see Imanaliev, M. I., 92m:45001 

Sumin, V.I. Volterra functional-operator equations and stability of the existence of global 
solutions of boundary value problems. (Russian. Ukrainian summary) 92i:47082 

Tang, Tao Superconvergence of numerical solutions to weakly singular Volterra integro- 
differential equations. 92k:65198 

Thieme, Horst R. see Diekmann, Odo; et al., 92h:47053 

Trofimchuk, E. P. Integral operators of the method of successive periodic approximations. 
(Russian) 92¢:47124 

Tsuruta, Kunio Wellposedness and resolvent operators of linear Volterra integro-differential 
equations in a Banach space. 92g:47102 

Tvalodze, Yu. G. see Zhuzhunashvili, A. Sh., 92k:65200 

Vecchio, A. see Crisci, Maria Rosaria; et al., 92h:65197 

Zhuzhunashvili, A. Sh. (with Tvalodze, Yu. G.) Solution of linear Volterra integral 
equations with guaranteed accuracy. (Russian) 92k:65200 


45Exx Singular integral equations [see also 30E20, 
30E25, 44A15, 44A35] 


45E05 Integral equations with kernels of Cauchy type 
[see also 35J15] 


Abdullaev, F. A. Solution of a nonlinear singular integral equation by the method of 
successive approximations. (Russian) (see 92f:45001) 

Baburin, Yu. S. Inversion of an algorithm for equivalent regularization from the right of 
normal cases of complete singular integral equations of the second kind with a closed 
integration contour. (Russian) (see 92d:35003) 

— Inversion of an algorithm for the equivalent regularization from the left of normal cases 
of complete singular integral equations of the second kind with Cauchy kernel on a closed 
integration contour. (Russian) (see 92:35003) 

Bil'‘man, B. M. (with Dzhangibekov, G.) Some systems of two-dimensional singular integral 
equations. (Russian) 92i:45003 

Chakrabarti, Aloknath Solutions of some special singular integral equations of applied 
mathematics. 92b:45004 

Chen, Hong Qing The asymptotic behavior of solutions to a class of singular integral 
equations. (Chinese) 

Didenko, V. D. A method for the approximate solution of singular integral equations with 
conjugation on piecewise-smooth « s.(Russian) 92g:45006 

Dzhangibekov, G. see Bil‘man, B. M., 92i:45003 

Eissa, R. P. Some properties of class Z,,. (Arabic summary) 92h:45009 

Frisch, Hélene Berthe (with van der Mee, C. V. M.; Zweifel, Paul F.) Corrections to: 
“Distributional solutions of singular integral equations” [J. Integral Equations Appl. 2 
(1990), no. 2, 205-210; MR 91d:45006]. 

Gakhov, F. D. * Boundary value problems. 92b:45005 

Gonzalez-Carvajal, Clary see Mederos, Otilio B., 92e:45005a and 92¢:45005b 

Ismoilov, A. see Usmanov, G. U., 92f:45006 

Kangro, Urve Smoothness of a solution of a two-dimensional integral equation with a 
logarithmic kernel. (Russian. English and Estonian summaries) 92a:45012 

Karelin, A. A. Transformation of a singular integral equation with Carleman linear- 
fractional shift to a characteristic equation with matrix coefficients. (Russian) 92k:45010 

Krutii, Yu. S. On the solution of two integral equations that converge to the Riemann matrix 
problem. (Russian. English summary) 92b:45006 

Ladopoulos, E.G. see Zisis, V. A., 92a:45015 

La, Jian Ke see Shen, Yong Xiang, (92a:00039) 

Makatsariya, G. T. On the theory of two-dimensional Fredholm integral equations of the 
third kind. (Russian. English and Georgian summaries) 








703 1992 


Mandzhavidze, G. F. * panwunbie 3aa4H COnpsaxKeHHA CO CMeLICHHEM MIA AHAIHTHYCCKHX 
4 O6oO6meHHBIX aHauHTHYeCKHX dbyHKuHH. (Russian) [Boundary value problems for 
conjugation with shift for analytic and generalized analytic functions] 92c:45004 

Mederos, Otilio B. (with Gonzalez-Carvajal, Clary) The homogeneous Carleman problem 
for a strip with singularities. First version. (Spanish. English summary) 92e:45005a 

— (with Gonzalez-Carvajal, Clary) The homogeneous Carleman problem for the strip with 
zeros and poles in the coefficient. (Spanish. English summary) 92¢:45005b 

van der Mee, C. V. M. see Frisch, Héléne Berthe; et al. 

Merlin, A. V. Nonsummable solutions of an integral equation with a logarithmic kernel. 
(Russian) (see 92e:00010) 

Mukhamadiev, E.M. (with Nazimov, A. B.) On the existence and uniqueness of the 
solution of a singular integral equation with a kernel of Hilbert type and its approximate 
solution. (Russian. Tajiki summary) 92f:45005 

Nazimov, A. B. see Mukhamadiev, E. M., 92f:45005 

Nguyén Van Mau Solutions of a system of complete singular integral equations with 
analytic kernels and reflection. (Russian. English summary) 92a:45013 

Nyaga, V. I. see Sakalyuk, K. D., 92b:45007 

Onegov, L. A. Conditions for the existence of an improper integral on the classes W." Ly. 
(Russian) (see 92f:00016) 

Pavel’ev, A.G. Analytic methods for solving some ill-posed problems, and regularization. 
(Russian) 92¢:45005 

Préssdorf, Siegfried (with Rathsfeld, A.) On an integral equation of the first kind arising 
from a cruciform crack problem. 92k:45011 

Rasol’ko, G. A. (with Sheshko, M. A.) On the solution of an equation containing multiple 
integrals with Cauchy kernels. (Russian) 92h:45010 

Rathsfeld, A. see Préssdorf, Siegfried, 92k:45011 

Sakalyuk, K. D. (with Nyaga, V. 1.) Solution of a complete singular integral equation. 
(Russian) 92b:45007 

Shen, Yong Xiang (with Lu, Jian Ke) The singular integral equations containing both 
Cauchy and convolution kernel in {a, 8} class. (see 92a:00039) 

Shengeliya, E. Sh. (with Sheshko, M. A.) Solution of a class of integral equations with a 
multiplicative Cauchy kernel. (Russian. English and Georgian summaries) 92¢:45006 

Sheshko, M. A. see Shengeliya, E. Sh., 92e:45006 and Rasol’ko, G. A., 92h:45010 

Shtin, S. L. On a conjecture of V. E. Kruglov. (Russian) 92k:45012 

Surai, L. A. Approximate solution of multidimensional weakly singular integral equations 
of the first kind. (Russian) (see 92e:00010) 

Usmanov, G. U. (with Ismoilov, A.) Solution of two-dimensional singular integral 
equations with a Cauchy-type kernel. (Russian) 92f:45006 

— On the solution of some problems that are reducible to singular integral equations with a 
kernel of Cauchy type. (Russian) 

Vekua, N. P. On a Carleman integral equation. (Russian. English and Georgian summaries) 
92a:45014 

Volokhin, V. A. Solution of a hypersingular integral equation. (Russian) (see 92f:00018) 

Zisis, V. A. (with Ladopoulos, E.G.) Two-dimensional singular integral equations: exact 
solutions. 92a:45015 

Zolotarevskii, V.A. Approximate solutions of systems of singular integral equations in the 
spaces L,. (Russian) 92m:45003 

Zweifel, Paul F. see Frisch, Héléne Berthe; et al. 


Items with secondary classifications in 45E05 

Airapetyan, G.M. On the boundedness of some integral operators. (Russian. Armenian 
summary) 92h:47069 

— A conjugation problem with shift in the classes L”. (Russian) 92i:30039 

(Babaev, Arif Aligeidarovich) see Singular integral operators, 92f:45001 

Bojarski, Bogdan Singular integral equations. 92j:47095 

Borodachev, N. M. Solution of a contact problem for an elastic half-space with a contact 
area slightly different from a circle. (Russian. English summary) 92a:73053 

Bihring, Kathrin Quadraturformelverfahren fiir die approximative Lésung von Pseudod- 
ifferentialgleichungen iiber geschlossenen Kurven. [Quadrature formula methods for the 
approximative solution of pseudodifferential equations over closed curves] 92:65342 

Cherskii, Yu. I. Extremal problems for a Noether operator. (Russian) 92c:47014 

Drekova, G. V. (with Kravchenko, V.G.) Dimension and structure of the kernel and 
cokernel of a singular integral operator with linear-fractional Carleman shift and 
conjugation. (Russian) 92e:47087 

Du, Jin Yuan On the trigonometric polynomials interpolating approximate solutions of 
singular integral equations with Hilbert kernel. 92d:42003 

Dzhangibekov, G. Noethericity and the index of a class of two-dimensional singular integral 
operators. (Russian) 92f:47051 

— A class of two-dimensional singular integral operators. (Russian) 92g:47074 

Elliott, David see Okada, Susumu, 92k:47064 

Evtushenko, A. A. see Pritula, N. N.; et al., 92h:65202 

Frisch, Hélene Berthe A Cauchy integral equation method for half-space convolution 
equations. (see 92h:82112) 

Georg, Kurt (with Widmann, Ralf) Adaptive quadratures over volumes. (German 
summary) 92i:65048 

Goebel, Manfred (with Oestreich, D.) Optimal control of a nonlinear singular integral 
equation arising in electrochemical machining. (German and Russian summaries) 
92m:49038 

Golberg, M. A. Introduction to the numerical solution of Cauchy singular integral 
equations. 92a:65346 

Grodskii, S.M. Matrix singular integral operators with infinite index. II. (Russian) 
92j:47096 

Hao, Liu Hu see Liu, Shi Qiang, (92a:00039) 

Herdman, Terry L. (with Turi, Janos) On the solutions of a class of integral equations 
arising in unsteady aerodynamics. 92c:76042 

Junghanns, Peter A new convergence rate for the quadrature method for solving singular 
integral equations. 92a:65347 

Karapetyants, N. K. (with Samko, S.G.) * YpaBHeHHs C HHBOJIOTHBHBIMH OnlepaTopaMH H 
4X UpHoxenus. (Russian) [Equations with involutive operators and their applications] 
92m:47020 


45E Singular integral equations 


45E10 


Karlovich, Yu. 1. (with Kravchenko, V. G.; Litvinchuk, G. S.) On the Noethericity and 
Mikhlin symbols of operators of the type singular integral operators with shift type. 
(Russian. English and German summaries) 92g:47075 

Khubedzhashvili, Sh. S. see Sanikidze, D. G.; et al. 

Kracht, Manfred W. (with Kreyszig, Erwin) On singular integral operators and generaliza- 
tions. 92f:47052 

Kravchenko, V.G. (with Shaev, A. K.) Normalization of singular integral equations with 
Carleman shift. (Russian) 92¢:47090 

— (with Shaev, A. K.) The theory of the solvability of singular integral equations with 
fractional-linear Carleman shift. (Russian) 92b:47075 

— (with Litvinchuk, G. S.) Noether theory of unbounded singular integral operators with 
Carleman shift. (Russian) 92c:47060 

— see also Drekova, G. V., 92¢:47087 and Karlovich, Yu. 1.; et al., 92g:47075 

Kreyszig, Erwin see Kracht, Manfred W., 92f:47052 

Krutii, Yu. S. Factorization of a second-order piecewise-constant matrix of a special form. 
(Russian) (see 92f:00016) 

Kutrunov, V. N. (with Mal'tsev, L. E.) Spectral regularization of integral equations in 
elasticity theory. (Russian) 92e:73013 

, Sergei Vladimirovich On the discreteness of the spectrum of singular integral 
operators in elasticity theory. (Russian) 92g:47077 

Li, Zheng Wu Discrete approximate solutions to nonlinear singular integral equations with 
shifts. (Chinese. English summary) 

Litvinchuk, G. S. see Kravchenko, V. G., 92c:47060 and Karlovich, Yu. L.; et al., 92g:47075 

Liu, Shi Qiang (with Hao, Liu Hu) Saint-Venant torsion problem for a circular cylinder 
composed of compound materials with curved cracks. (see 92a:00039) 

Maf'tsev, L. E. see Kutrunov, V. N., 92e:73013 

Mastroianni, Giuseppe (with Préssdorf, Siegfried) On quadrature methods of Gauss type 
for singular integral equations and the airfoil equation. 92m:65171 

Mirianashvili, M.G. see Sanikidze, D. G.; et al. 

Mzhaviya, G. M. Bisingular integral equations with complex conjugation. (Russian. English 
summary) 92¢:47091 

Nyaga, V.I. Noethericity criteria for singular integral equations with linear-fractional shift 
in the space L}. (Russian) 92h:47071 

Oestreich, D. A new approach to a free boundary value probl 

— see also Goebel, Manfred, 92m:49038 

Okada, Susumu (with Elliott, David) The finite Hilbert transform in 7?. 92k:47064 

Pilidi, V.S. Uniform invertibility of regular approximations of one-dimensional singular 
integral operators with noncompact perturbations. (Russian) 92a:65351 

— Uniform invertibility of strong approximations of one-dimensional singular integral 
operators with piecewise-continuous coefficients on the axis. (Russian) 92g:47078 

— Justification of the singularity excision method for bisingular integral operators with 
continuous coefficients. (Russian) 92¢:47092 

— A priori estimates for bisingular operators with continuous coefficients. (Russian) 
92¢:47061 

Prikarpat-skii, A. K. see Pritula, N. N.; et al., 92h:65202 

Pritula, N. N. (with Evtushenko, A. A.; Prikarpat-skii, A. K.) A probabilistic-informational 
algorithm for the approximation solution of singular integral equations. (Russian) 
92h:65202 

Préssdorf, Siegfried see Mastroianni, Giuseppe, 92m:65171 

Samko, S.G. see Karapetyants, N. K., 92m:47020 

Sanikidze, D. G. (with Mirianashvili, M. G.; Khubedzhashvili, Sh. S.) Applications of 
direct schemes of interpolational degree of accuracy to the numerical solution of some 
classes of singular integral equations. (Russian) 

Schulze, Horst On singular integral operators on weighted Hoelder spaces. 92h:47074 

Shaev, A. K. see Kravchenko, V. G., 92b:47075 and 92¢:47090 

Shargorodskii, E. M. Singular integral operators with coefficients in P,C. (Russian. English 
summary) 92e:47043 

Smagin, S.I. A new class of integral equations that lower the dimension of diffraction 
problems. (Russian) 92b:35044 

Spitkovskii, I. M. (with Tashbaev, A. M.) Factorization of certain piecewise constant 
matrix functions and its applications. 92i:47061 

Stephan, Ernst P. (with Suri, Manil) Integral equation 
problems. 92e:35057 

Suri, Manil see Stephan, Ernst P., 92e:35057 

Tashbaev, A. M. see Spitkovskii, I. M., 92i:47061 

Turi, Janos see Herdman, Terry L., 92c:76042 

Tutunaru, S. A. A reduction method for bisingular integral equations with polynomial 
coefficients on closed Lyapunov frames. (Russian. English and Moldavian summaries) 
92j:65201 

Vasilevskii, N. L. Nonclassical singular integral operators and algebras generated by them. 
(see 92a:00039) 

Widmann, Ralf see Georg, Kurt, 92i:65048 

Zhang, Feng Gang A hyperbolic tangent quadrature rule for solving singular integral 
equations with Hadamard finite part integrals. 92h:65203 

Zolotarevskii, V. A. * KonewHomepHbie MeTOsbI pellleHHA CHHTYAPHBIX HHTCrpasIbHBIX 
ypaBHeHH Ha 3€MKHYTBIX KOHTypax HHTerpuposaHua. (Russian) [Finite-dimensional 
methods for solving singular integral equations on closed integration contours] 
92h:45019 


of Miranda. 92i:35133 





thods for screen and crack 





Items listed otherwise than by author 


Singular integral operators * CunrynapHbie HHTerpasbHbie onepaTopsi. (Russian) [Singular 
integral operators] 92f:45001 


45E10 Integral equations of the convolution type (Abel, Picard, 
Toeplitz and Wiener-Hopf type) [see also 47B35] 

Arabadzhyan, A. G. see Arabadzhyan, L. G., 92c:45006 

Arabadzhyan, L. G. (with Arabadzhyan, A. G.) The asymptotic behavior of a one- 


dimensional conservative Wiener-Hopf equation. (Russian. English and Armenian 
summaries) 92¢:45006 





45E10 


— (with Engibaryan, N. B.) Wiener-Hopf integral equations with completely monotone 
kernels. (Russian. English and Armenian summaries) 92¢:45007 

Askhabov, S. N. (with Betilgiriev, M. A.) A priori estimates for the solutions of a class of 
nonlinear convolution equations. 92m:45004 

Betilgiriev, M. A. see Askhabov, S. N., 92m:45004 

Engibaryan, N. B. see Arabadzhyan, L. G., 92e:45007 

Jones, D.S. Wiener-Hopf splitting of a 2 x 2 matrix. 92g:45007 

Mitsioulis, George Renormalization of the energies stored around a Wiener-Hopf structure. 
I. (French summary) 92k:45013 

Srivastava, Namita On dual integral equations associated with Mehler Fock transform. 
92k:45014 

Virchenko, N. A. On the method of N-ary integral equations. (Russian. Ukrainian 
summary) 92m:45005 


Items with secondary classifications in 45E10 

Aktosun, Tuncay (with van der Mee, C. V. M.) Wiener-Hopf factorization in the inverse 
scattering theory for the n-D Schrodinger equation. 92f:35050 

Battcher, Albrecht (with Wolf, Hartmut) Finite sections of Segal-Bargmann space Toeplitz 
operators with polyradially continuous symbols. 92i:47025 

Bubakar, Silla see Kilbas, A. A., 92m:47099 

Ciarletta, Michele (with Scalia, Antonio) On some theorems in the linear theory of 
viscoelastic materials with voids. 92b:73020 

Dyka, Andrzej see Ugowski, Henryk, 92j:94001a and 92j:94001b 

Elliott, David Convergence theorems for singular integral equations. 92a:45038 

Frosali, Giovanni Functional-analytic techniques in the study of time-dependent electron 
swarms in weakly ionized gases. 92m:82132 

Geidarov, B. A. On the stability of solutions of Volterra equations of the first kind of 
convolution type. (Russian) 92m:45002 

Gohberg, Israel (with Kaashoek, M. A.) The Wiener-Hopf method for the transport 
equation: a finite-dimensional version. (see 92h:82112) 

Grudskii, S.M. Convolution equations on a finite interval with a small parameter 
multiplying the growing part of the symbol. (Russian) 92e:47039 

Jain, Rashmi Double convolution integral equations involving the general polynomials. 
92g:44004 

Kaashoek, M. A. see Gohberg, Israel, (92h:82112) 

Karapetyants, N. K. (with Yakubov, A. Ya.) A convolution equation with a power 
nonlinearity of negative order. (Russian) 92m:47125 

Kilbas, A. A. (with Bubakar, Silla) Smoothness of integral operators with power- 
logarithmic kernels. (Russian. English summary) 92m:47099 

Kobayashi, Kazuya Plane wave diffraction by a strip: exact and asymptotic solutions. 
92i:78015 

Korobeinik, Yu. F. Solvability of the convolution equation in some classes of analytic 
functions. (Russian) 924:46100 

Kuijper, A. B. A note on first kind convolution equations on a finite interval. 92g:47033 

La, Jian Ke see Shen, Yong Xiang, (92a:00039) 

Matveev, V.G. (with Selezov, I. T.) Fundamental solution of a convolution operator of 
aero-elastic interactions. (Russian) 92k:45027 

van der Mee, C. V. M. see Aktosun, Tuncay, 92f:35050 

Meister, Erhard (with Speck, Frank-Olme) Matrix factorization for canonical Wiener-Hopf 
problems in elastodynamic scattering theory. 92c:73040 

Newton, Roger G. Wiener-Hopf factorization of the S matrix. 92g:47010 

Poletaev, G.S. The paired equation of convolution type with kernels from different Banach 
algebras. (Russian. Ukrainian summary) 92i:47059 

Priiss, Jan Maximal regularity of linear vector-valued parabolic Volterra equations. 
92b:47115 

Scalia, Antonio see Ciarletta, Michele, 92b:73020 

Selezov, I.T. see Matveev, V. G., 92k:45027 

Shen, Yong Xiang (with Lu, Jian Ke) The singular integral equations containing both 
Cauchy and convolution kernel in {a, 8} class. (see 92a:00039) 

Speck, Frank-Olme see Meister, Erhard, 92c:73040 

Teixeira, F.S. Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation. 
924:35077 

Ugowski, Henryk (with Dyka, Andrzej) On the convolution inverse of discrete sequences. I. 
Theory and estimation of the truncation error. 92j:94001a 

— (with Dyka, Andrzej) On the convolution inverse of discrete sequences. II. Application in 
solving convolution equations. 92j:94001b 

Vreugdenhil, R. Spectral theory of selfadjoint Wiener-Hopf operators with rational symbols. 
92d:47039 

Wolf, Hartmut see Béttcher, Albrecht, 92i:47025 

Yakubov, A. Ya. see Karapetyants, N. K., 92m:47125 


45E99 None of the above, but in this section 


Aksent'eva, E. P. On the solution of a nonlinear boundary value problem for a rectangle in 
the class B,.(Russian) 92¢:45008 

Germogenova, T. A. Weakly singular integral equations on an interval of large length. 
(Russian. English summary) 92f:45007 

Grin‘ko, A. P. Noethericity of equations of the first kind with a Gauss hypergeometric 
function. (Russian. English summary) 92¢:45009 


I¥inskii, A.S. Integral equations for the problems of waves diffraction on screens. 
92h:45011 


Li, De Two-dimensional singular integral equations with two shifts. (Chinese. English 
summary) 92f:45008 


Martin, Paul Andrew End-point behaviour of solutions to hypersingular integral equations. 
92:45009 


Nemat-Nasser, Sia see Willis, J. R., 92a:45016 


Shen, Yong Xiang A class of singular integro-differential equations with convolution. 
(Chinese. English summary) 92e:45010 


Sznitko, Wanda On singular integral equation in Euclidean space E3. 92d:45004 


INTEGRAL EQUATIONS 


1992 704 


Tovstik, T. P. N. I. Muskhelishvili’s integral equation for a polygonal domain. (Russian. 
English summary) 92e:45011 

Vekua, N. P. Partial indices of the Hilbert boundary value problem for some unknown 
functions with rational coefficients. (Russian. English and Georgian summaries) 
92b:45008 . 

Willis, J. R. (with Nemat-Nasser, Sia) Singular perturbation solution of a class of singular 
integral equations. 92a:45016 


Items with secondary classifications in 45E99 


Bitsadze, A. V. Singular integral equations of the first kind. (Russian) 92k:45002 

Dadiomov, V. M. On spaces generated by the zeros of the symbol of some singular integral 
equations. (Russian) 92¢:47086 

Duduchava, R. V. (with Natroshvili, D. G.; Shargorodskii, E.M.) Boundary value problems 
of the mathematical theory of cracks. (Russian and Georgian summaries) 924:35321 

— (with Shargorodskii, E.M.) Some singular integral operators with fixed singularities. 
(Russian. English summary) 92h:47070 

Dzhangibekov, G. A problem of linear conjugation of solutions to elliptic systems of 
differential equations with singular coefficients in the plane. (Russian) 92h:35063 

— Some two-dimensional singular integral operators with a shift. (Russian) 92¢:47058 

Gabdulkhaev, B.G. (with Rakhimov, I. K.) Numerical methods for solving singular integral 
equations with monotone operators. (Russian) (see 92f:00016) 

Gurtin, Morton E. (with Hrusa, William J.) Global existence in one-dimensional nonlinear 
viscoelasticity with heat conduction. 92¢:73058 

Hrusa, William J. see Gurtin, Morton E., 92c:73058 

Latyshev, Anatolii Vasil‘evich Analytic aspects of the solution of model kinetic equations. 
(Russian. English summary) 92e:82051 

Mohamed, M.I. A special system of boundary value problems. (Arabic summary) 
92e:30023 

Mokin, Yu. I. Boundary integral equations of the potential of a simple layer on a plane of 
cylindrical variables. (Russian) 92c¢:31004 

Natroshvili, D.G. see Duduchava, R. V.; et al., 92d:35321 

Nesatyi, I. M. Singular integral equations of two-dimensional problems in elasticity theory 
with displacements and forces prescribed on the boundary. (Russian. English summary) 
92a:73016 

Rakhimov, I. K. see Gabdulkhaev, B. G., (92f:00016) 

Shargorodskii, E.M. see Duduchava, R. V.; et al., 92d:35321 and 92h:47070 

Yanushauskas, Algimantas Non-Fredholm boundary-value probl for multi-dimensional 
elliptic equations. (see 92b:00033) 

Zhao, Zhen Boundary value problems for complex elliptic equations on the plane and 
singular integral equation of composite type. 92b:35037 





45Fxx Systems of linear integral equations 

Virchenko, N. A. On one application of the theory of generalized analytic functions to the 
dual integral equations. (see 92h:00020) 

Items with secondary classifications in 45Fxx 


Kurbatov, V.G. * Jlunettunie puddbepenuManbHo-pasHocTHbie ypaBHeHua. (Russian) [Linear 
differential-difference equations] 92k:34082 
Zheng, Ke On the mixed problem in an infinite elastic plane with crack. (see 92a:00039) 


45F05 Systems of nonsingular linear integral equations 


Iskandarov, S. Sufficient conditions for boundedness and square integrability on a half-axis 
of solutions of a class of two-dimensional systems of second-order Volterra linear integro- 
differential equations. (Russian) 92a:45017 


Items with secondary classifications in 45F05 


Deb, T. K. see Karanjai, S., 92h:85004 

Holly, Konstanty Navier-Stokes equations in R? as a system of nonsingular integral 
equations of Hammerstein type. An abstract approach. 92m:35208 

Karanjai, S. (with Deb, T. K.) Exact solution of the equation of transfer in a finite 
exponential atmosphere by the method of Laplace transform and linear singular 
operators. 92h:85004 


45F10 Dual, triple, etc., integral and series equations 


Aizikovich, S. M. Asymptotic solution of a class of dual equations. (Russian) 92a:45018 

Dwivedi, A. P. (with Shukla, B. D.; Shukla, S.C.) The solution of six integral equations 
involving the product of “r” associated Legendre functions as kernel. 92b:45009 

Gamaleya, R. V. see Virchenko, N. A., (92d:35005) 

Narain, Kuldeep Dual integral equations involving Bessel functions. 92g:45008 

Shen, Yong Xiang A class of singular integral equations of dual type with two convolution 
kernels. (Chinese) 92¢:45012 

Shestopalov, V. P. see Svishchev, Yu. V.; et al., 92g:45009 

Shilin, A. P. Two dual integral equations of convolution type. (Russian) 92c:45007 

Shukla, B. D. see Dwivedi, A. P.; et al., 92b:45009 

Shukla, S.C. see Dwivedi, A. P.; et al., 92b:45009 

Srivastava, K. N. see Srivastava, Namita, 92a:45020 

Srivastava, Namita Some theorems concerning dual and triple integral equations. 
92a:45019 

— (with Srivastava, K. N.) On some dual integral equations. 92a:45020 

Svishchev, Yu. V. (with Tuchkin, Yu. A.; Shestopalov, V. P.) A new class of dual summa- 
tory equations containing a Jacobi polynomial. (Russian) 92g:45009 

Tuchkin, Yu. A. see Svishchev, Yu. V.; et al., 92g:45009 

Vasil'ev, B. A. Dual integral equations associated with eigenfunctions of the Steklov 
problem for a wedge. (Russian) 92g:45010 

Virchenko, N. A. (with Gamaleya, R. V.) Some problems in the theory of dual integral 
equations and their applications. (Russian) (see 92d:35005) 





705 1992 


45F15 Systems of singular linear integral equations 


Yukhanonov, N. N. On the determination of the exact and approximate solutions of 
a generalized characteristic singular integral equation. (Russian. Tajiki summary) 
92k:45015 


Items with secondary classifications in 45F15 

Zolotarevskii, V. A. Approximate solutions of systems of singular integral equations in the 
spaces L,.(Russian) 92m:45003 

— The collocation method for approximate solution of systems of singular integral equations 
with vanishing symbols. (Russian) 92b:65106 

— Convergence of the collocation method and the method of mechanical quadratures for 


systems of singular integral equations on arbitrary closed smooth contours. (Russian) 
92i:65207 


45F99 None of the above, but in this section 


Items with secondary classifications in 45F99 

Safronov, S.I. see Zakharov, E. V.; et al., 92b:65105 

Tarasov, R. P. see Zakharov, E. V.; et al., 92b:65105 

Zakharov, E. V. (with Safronov, S. I.; Tarasov, R. P.) A method for the numerical solution 
of integral equations in boundary value problems with an abelian group of symmetries of 
finite order. 92b:65105 


45Gxx Nonlinear integral equations [see also 47H15] 


45G05 Singular nonlinear integral equations 


Chambers, LI. G. Bounds for solutions of integral equations of second type. 92a:45021 

Ebanoidze, T. A. A nonlinear integral equation with a finite number of fixed singularities. II. 
(Russian) 

El-Gindy, T. M. (with Salim, M.S.) An optimization treatment for a singular integro- 
differential equation. 

El-Sayed, A. M. A. On a semilinear Volterra equation. (Arabic summary) 92b:45010 

Kaneko, Hideaki (with Noren, Richard; Xu, Yuesheng) Regularity of the solution of 
Hammerstein equations with weakly singular kernel. 92a:45022 

Noren, Richard see Kaneko, Hideaki; et al., 92a:45022 

Salim, M.S. see El-Gindy, T. M. 

Xu, Yuesheng see Kaneko, Hideaki; et al., 92a:45022 


Items with secondary classifications in 45G05 

Ebanoidze, T. A. The method of successive approximations for a general nonlinear integral 
equation with a fixed singularity. (Russian) 

Gryn’, V.I. Nonlinear Volterra integral equations of the first kind with an integrable 
singularity. (Russian) 92¢:45004 

Gurevich, I. L. Nonsymmetric flow around a soft shell. (Russian) 92f:76012 

Hajnosz, Andrzej (with Wedrychowicz, Stanislaw) On a nonlinear integral inequality and 
its application. (Russian and Polish summaries) 92f:26032 

Lin, Liang Yu Nonlinear and linear singular integral equations in C”. (Chinese. English 
summary) 92k:45001 

Mydlarczyk, W. The existence of nontrivial solutions of Volterra equations. 92i:47090 

Shamardan, A. B. The stability analysis of a variable coefficient quadratic approximation for 
solving a singular integro-differential equation. 

Wedrychowicz, Stanislaw see Hajnosz, Andrzej, 92f:26032 


45G10 Other nonlinear integral equations 


Arino, Ovide (with Mortabit, A.) A periodicity result for a nonlinear functional integral 
equation. 92a:45023 

Askhabov, S. N. (with Karapetyants, N. K.) Some equations of convolution type with a 
monotone nonlinearity. (Russian) 92¢:45013 

— Integral equations of convolution type with power nonlinearity. 924:45005 

Baillon, Jean-Bernard (with Théra, Michel) About the equation k « u? = u. 924:45006 

Butris, Raad Noori Periodic solutions of a class of integral equations. (Russian) 92h:45012 

He, Fen Lan see Yu, Nai Zhong; et al. 

Hofmann, Bernd On a class of ill-posed nonlinear integral equations arising in the 
interpretation of indirect measurements. 92h:45013 

Kapitanova, Mariya B. see Schott, Dieter; et al., 92a:45024 

Kaptagaev, E.S. see Ved’, Yu. A., 92):45002 

Karapetyants, N. K. see Askhabov, S. N., 92¢:45013 

Khabibullin, I. Sh. Optimization of direct methods for solving Uryson equations. (Russian) 
92b:45011 

Kostadinov, G. D. see Schott, Dieter; et al., 92a:45024 

Kostadinov, St. I. see Schott, Dieter; et al., 92a:45024 

Mortabit, A. see Arino, Ovide, 92a:45023 

Schott, Dieter (with Kapitanova, Mariya B.; Kostadinov, G. D.; Kostadinov, St. I.) Uber 
einen abstrakten Volterraoperator. [On an abstract Volterra operator] 92a:45024 

Shankar, G. see Trivedi, T. N. 

Théra, Michel see Baillon, Jean-Bernard, 92d:45006 

Trivedi, T. N. (with Shankar, G.) Certain hybrid triple integral equations. 

Ved’, Yu. A. (with Kaptagaev, E. S.) Hereditary systems with a left limit condition. 
(Russian) 92j:45002 

Yu, Nai Zhong (with He, Fen Lan) Nonnegative solutions of a class of nonlinear Volterra 
integral equation. 


Items with secondary classifications in 45G10 


Argyros, Ioannis K. On some quadratic integral equations. 92d:47081 
Banas, Jézef (with El-Sayed, Wagdy Gomaa) Monotonic solutions of a nonlinear Volterra 
integral equation. 92h:45004 


45J Integro-ordinary differential equations 


45305 


El-Sayed, Wagdy Gomaa see Banas, Jézef, 92h:45004 

Garey, L. E. (with Gladwin, C. J.; Shaw, R. E.) Direct numerical methods for second order 
Fredholm integro-differential equations. 92i:65200 

Gladwin, C. J. see Garey, L. E.; et al., 92i:65200 

Hara, Tadayuki (with Yoneyama, Toshiaki; Miyazaki, R.) Volterra integro-differential 
inequality and asymptotic criteria. 92m:34174 

Hsiao, George C. (with Saranen, J.) Integral equation solution of some heat conduction 
problems. 924:35119 

Januszewski, Janusz On the Hammerstein integral equations in Banach spaces. 92a:47074 

Liu, Qing Rong (with Sun, Wan Gui) Multiplicity of solutions to Hammerstein’s equations 
and their applications. (Chinese. English summary) 92m:47142 

Miyazaki, R. see Hara, Tadayuki; et al., 92m:34174 

Nguyén Hong Thai see Zabreiko, P. P., 92h:47096 

Pachpatte, B.G. On a generalized Volterra integral equation. (Romanian summary) 
92k:45007 

Sakabekov, A. On the existence of a global solution of an initial-boundary value probiem for 
the Boltzmann equation. (Russian) 

Saranen, J. see Hsiao, George C., 92d:35119 

Shaw, R. E. see Garey, L. E.; et al., 921:65200 

Sobolev, A. V. (with Sobolev, V.1.) Differentiability of a Hammerstein operator and 
solvability of a nonlinear Hammerstein equation. (Russian) 924:47090 

Sobolev, V. I. see Sobolev, A. V., 92d:47090 

Soltysiak, Andrzej (with Szufla, Stanislaw) Existence theorems for L,-solutions of the 
Hammerstein integral equation in Banach spaces. 92d:47084 

Song, Fu Min Generalized relative degrees of W-A-proper mappings and their applications. 
(Chinese) 92f:47065 

Sun, Jing Xian Fixed-point theorems for increasing operators and applications to nonlinear 
equations with discontinuous terms in Banach spaces. (Chinese) 92m:47119 

Sun, Wan Gui see Liu, Qing Rong; et al., 92m:47142 

Szufla, Stanislaw see Soltysiak, Andrzej, 924:47084 

Wang, Liang Tao Differentiability of a class of nonlinear mappings. (Chinese. English 
summary) 92k:47135 

Yoneyama, Toshiaki see Hara, Tadayuki; et al., 92m:34174 

Zabreiko, P. P. (with Nguyén Hong Thai) New theorems on the solvability of Hammerstein 
operator and integral equations. (Russian) 92h:47096 

Zaghrout, Afaf A.S. On Volterra-Fredholm integral equations. 92m:47143 

Zaluaga Uribe, Mario The generalized Hammerstein integral operators on Hilbert spaces. 
92i:47091 





45G15 Systems of nonlinear integral equations 


Items with secondary classifications in 45G15 

Asanov, A. see Imanaliev, M. I., 92h:45006 

Dzyuba, S. M. Periodic solutions of some functional equations. (Russian) 92i:34053 

Imanaliev, M. 1. (with Asanov, A.) Solutions of systems of nonlinear two-dimensional 
Volterra integral equations of the first kind. (Russian) 92h:45006 

Zabreiko, P. P. Implicit function theorems in the theory of nonlinear integral equations. 
(Russian. English summary) 92m:47132 


45H05 Miscellaneous special kernels [see also 44A15] 


Liu, Keh C. Taylor series expansion method for solving multidimensional integral 
equations. 92d:45007 

— Solution of stochastic integral equation for multiple scattering by method of Taylor series 
expansion. 92d:45008 

Rus, Ioan A. A delay integral equation from biomathematics. 92b:45012 


Items with secondary classifications in 45H05 

Din’ Khoang An’ Factorization of a certain G-transform in weighted L,-spaces and its 
application to the solution of integral equations. (Russian. English summary) 92j:44002 

Dita, Petre The integral equation approach in the study of transport equations. 92k:82060 

Grasselli, Maurizio (with Kabanikhin, S. 1.; Lorenzi, A.) An inverse hyperbolic integrodif- 
ferential problem arising in geophysics. II. 92k:35286 

Hazou, Irene A. (with Solmon, Donald C.) Inversion of the exponential X-ray transform. II. 
Numerics. 92b:44005 

Kabanikhin, S. 1. see Grasselli, Maurizio; et al., 92k:35286 

Lorenzi, A. see Grasselli, Maurizio; et al., 92k:35286 

Ramm, A. G. Solution of some integral equations arising in integral geometry. 92k:53131 

Solmon, Donald C. see Hazou, Irene A., 92b:44005 

Surinov, Yu. A. Integral equations in radiative transfer theory and their statistical basis. 
(Russian) 92a:85007 

Tarakanov, V. I. Integral equations with a positive-definite bounded selfadjoint operator for 
boundary value problems in plane elasticity. (Russian) 92k:73023 

Vabishchevich, P. N. Reduction of the Cauchy problem for elliptic equations to an extension 
problem. (see 92b:35006) 


45J05 Integro-ordinary differential equations 


Abdou, Thabet Ahmed (with Ahmed, Abdel-Hadi Alem) On perturbations of nonlinear 
integrodifferential equations. 

Abil‘daev, E. A. (with Bliev, E. N.) Estimates for solutions of boundary value problems with 
an initial jump of first order for third-order linear integro-differential equations. (Russian. 
English and Kazakh summaries) 92h:45014 

Ahmed, Abdel-Hadi Alem see Abdou, Thabet Ahmed 

Anguraj, A. see Balachandran, Krishnan 

Bainov, Drumi D. see Khristova, S. G., 92:45026 

Balac'! Krishnan An existence theorem for nonlinear integro-differential equation 
with infinite delay. 92m:45006 





45305 


— (with Anguraj, A.) Existence and uniqueness of the solution of a nonlinear integro- 
differential equation. 

Baouche, Amar On the existence of solutions of a Nicoletti problem for an integro- 
differential equation with advanced argument. 92f:45010 

Bliev, E. N. Estimates for the solutions of boundary value problems with an initial jump 
of zero order for third-order linear integro-differential equations. (Russian. English and 
Kazakh summaries) 92k:45016 

— see also Abil‘daev, E. A., 92h:45014 

Brewer, Dennis W. (with Powers, Robert K.) Parameter identification in a Volterra 
equation with weakly singular kernel. 92a:45025 

Burton, T. A. (with Eloe, Paul W.; Islam, Muhammad Nurul) Periodic solutions of linear 
integro-differential equations. 92k:45017 

— (with Hatvani, Laszl6) On the existence of periodic solutions of some nonlinear 
functional-differential equations with unbounded delay. 92¢:45008 

Cushman, Ann L. see Elaydi, Saber, 92c:45009 

Dauylbaev, M. K. (with Kasymov, K. A.) Singularly perturbed integro-differential 
equations with singularities. (Russian. Kazakh summary) 92h:45015 

— Asymptotic behavior of the solution of a problem for an integrodifferential equation with 
a small parameter multiplying the highest derivative. (Russian) 

Elaydi, Saber (with Cushman, Ann L.) The existence of periodic solutions of nonlinear 
Volterra equations with infinite delay. 92c:45009 

Eloe, Paul W. see Burton, T. A.; et al., 92k:45017 

Faizibaev, E. F. (with Kadyrbekov, T.) The method of two-scale expansion of a solution of 
an integro-differential equation with a small parameter. (Russian. Ukrainian summary) 
92b:45013 

Foltytiska, Izabela Oscillatory solutions of the system of n integro-differential equations 
with deviating arguments. 92b:45014 

Fursevich, L. V. A class of problems for an equation of heat conduction in hereditary media. 
(Russian) 92k:45018 

Hatvani, Laszlé see Burton, T. A., 92c:45008 

Hino, Yoshiyuki (with Murakami, Satoru) Total stability and uniform asymptotic stability 
for linear Volterra equations. 92i:45004 

Ha, Shi Geng Globally asymptotic behaviour of a class of integro-differential equations. 
(Chinese summary) 92i:45005 

— Aclass of type K monotone integro-differential equations. (Chinese. English summary) 
921:45006 

Islam, Muhammad Nurul see Burton, T. A.; et al., 92k:45017 

Jédar, Lucas Explicit closed-form solution of coupled systems of Volterra integrodifferential 
systems. 92j:45003 

Kadyrbekov, T. see Faizibaev, E. F., 92b:45013 

Kakishov, K. K. A singularly perturbed nonlinear integro-differential equation in cases when 
the degenerate equation has different solutions. (Russian) 

Karanjai, S. see Talukdar, M., 92h:45016 

Kasymov, K. A. Estimates for solutions of boundary value problems for a singularly 
perturbed linear integro-differential equation. (Russian. English and Kazakh summaries) 
92k:45019 

— see also Dauylbaev, M. K., 92h:45015 

Khristova, S.G. (with Bainov, Drumi D.) Method for solving the periodic problem for 
integro-differential equations. 92a:45026 

Kurbanbatv, O.O. A boundary value problem for integro-differential equations. (Russian) 
92a:45027 

Ma, Wan Biao see Si, Li Geng; et al., 92b:45015 

Mahfoud, W. E. Asymptotic stability of an integrodifferential system. 92g:45011 

Meleshko, A. N. see Yanovich, L. A., 92k:45020 

Miao, Shu Mei Asymptotic expansion of solutions to singularly perturbed boundary 
value problems for a class of integro-differential equations. (Chinese. English summary) 
92e:45014 

Murakami, Satoru see Hino, Yoshiyuki, 92i:45004 

Pokalo, A. K. Representation of solutions of a singular integro-differential equation by 
Hermite series. (Russian. English summary) 92a:45028 

Powers, Robert K. see Brewer, Dennis W., 92a:45025 

Sergeev, V.S. Instability of solutions of integro-differential equations of Volterra type in the 
critical case of a pair of purely imaginary roots. (Russian) 92i:45007b 

— On the instability of solutions of integro-differential equations in a certain case. (Russian) 
92i:45007a 

Si, LiGeng (with Ma, Wan Biao) Stability and periodic solutions of Volterra integro- 
differential large-scale systems. 92b:45015 

Sivasundaram, S. Stability properties of Volterra systems with impulsive effect. 92a:45029 

Talukdar, M. (with Karanjai, S.) Solution of an integro-differential equation by modified 
spherical harmonic method. 92h:45016 

Wang, Ke! Quasi periodic solutions of neutral Volterra integral differential equations with 
infinite delay. (Chinese summary) 92g:45012 

Wang, Lian see Wang, Mu Qiu; et al. 

Wang, Mu Qiu (with Wang, Lian) The decomposition problem for stability of Volterra 
integrodifferential equations. (Chinese) 

— see also Zhang, Yi'; et al. 

Yanovich, L. A. (with Meleshko, A. N.) Solvability of a class of nonlinear singular integro- 
differential equations. (Russian. English summary) 92k:45020 

Yu, Hong Yi PBVP for integro-differential equations of Volterra type in B.S. 92j:45004 

Zhang, Yi! (with Wang, Mu Qiu) Stability of neutral integro-differential equations with 
infinite time-delay. (Chinese) 

Zhang, Zong Da Asymptotic stability of Volterra integro-differential equations. (Chinese. 
English summary) 92a:45030 

— Stability of large-scale systems of Volterra integro-differential equations under structural 
perturbations. (Chinese. English summary) 92k:45021 


Items with secondary classifications in 45J05 

Abdou, Thabet Ahmed (with Ahmed, Abdel-Hadi Alem) On perturbations of nonlinear 
integrodifferential equations. 92m:45008 

Ahmed, Abdel-Hadi Alem see Abdou, Thabet Ahmed, 92m:45008 


INTEGRAL EQUATIONS 


Anguraj, A. see Balachandran, Krishnan, 92j:34124 

Bahaguna, D. (with Pani, Amiya K.; Raghavendra, V.) Rothe’s method to semilinear 
hyperbolic integrodifferential equations. 92a:34066 

Balachandran, Krishnan (with Anguraj, A.) Continuous dependence for integrodifferential 
equations with infinite delay. 92j:34124 

Baumann, Gerd (with Freyberger, M.; Gléckle, W. G.; Nonnenmacher, T. F.) Similarity 
solutions in fragmentation kinetics. 92i:82136 

Brunner, Hermann Direct quadrature methods for nonlinear Volterra integro-differential 
equations with infinite delay. 92m:34147 

Cai, Mao (with Edwards, Boyd F.; Han, Hongtao) Exact and asymptotic scaling solutions 
for fragmentation with mass loss. 92h:45018 

Chen, Shao Zhu (with Huang, Qing Guang; Erbe, Lynn H.) Bounded and zero-convergent 
solutions of a class of Stieltjes integro-differential equations. 92¢:34075 

Cheng, Ye see Yuan, Chi, 92f:85001 

Dhakne, M. B. (with Pachpatte, B.G.) On some abstract functional integrodifferential 
equations. 92¢e:47127 

Didenko, V. D. Para-algebras and approximate solution of singular integro-differential 
equations. (Russian) 92h:47075 

— see also Vitrichenko, E. E., (92f:00016) 

Drekova, G. V. see Vitrichenko, E. E. 

Edwards, Boyd F. see Cai, Mao; et al., 92h:45018 

Engler, Hans Regularity properties of solutions of linear integrodifferential equations with 
singular kernels. 924:47094 

— A matrix Volterra integrodifferential equation occurring in polymer rheology. 92c:76003 

Erbe, Lynn H. see Chen, Shao Zhu; et al., 92¢:34075 

Fabrizio, Mauro (with Lazzari, Barbara) On the existence and the asymptotic stability of 
solutions for linearly viscoelastic solids. 92k:73040 

Farkas, M. (with Stépan, G.) On perturbation of the kernel in infinite delay systems. 
92m:34153 

Fodchuk, O. V. A variational-iterative method for solving boundary value problems for 
integro-differential equations. (Russian) 92f:65066 

Freyberger, M. see Baumann, Gerd; et al., 92i:82136 

Glickle, W. G. see Baumann, Gerd; et al., 92i:82136 

Gopalsamy, Kondalsamy (with Lalli, Bikkar S.) Necessary and sufficient conditions for 
“zero crossing” in integrodifferential equations. 92b:34078 

Grin‘ko, A. P. Solution of a nonlinear differential equation with a generalized fractional 
derivative. (Russian. English summary) 92i:26011 

Guo, Da Jun Nonnegative solutions of two-point boundary value problems for nonlinear 
second order integrodifferential equations in Banach spaces. 92b:34075 

Han, Hongtao see Cai, Mao; et al., 92h:45018 

Hara, Tadayuki (with Yoneyama, Toshiaki; Miyazaki, R.) Volterra integro-differential 
inequality and asymptotic criteria. 92m:34174 

Hu, Zuo Sheng Estimate of solutions to nonlinear integral-type difference equations. 
92h:34127 

Huang, Qing Guang see Chen, Shao Zhu; et al., 92c:34075 

Islam, Muhammad Nurul Bounded solutions and periodic solutions of Volterra equations 
with infinite delay. 92g:45004 

Ivanov, S. A. (with Korneev, V.G.) The problem of heat radiation of a shell taking into 
account interior reflection. (Russian) 92g:80004 

Jiang, Zhi Min! On comparison theorems for oscillation of Volterra-Stieltjes integro- 
differential equations. 92b:34080 

Kakishov, K. K. Singularly perturbed systems of Fredholm-type nonlinear integro- 
differential equations in cases when the degenerate equation has discontinuous solutions. 
(Russian) 92b:34096 

Korneev, V. G. see Ivanov, S. A., 92g:80004 

Ladas, G. (with Philos, Ch. G.; Sficas, Y.G.) Oscillations of integro-differential equations. 
92¢:34095 

Lalli, Bikkar S. see Gopalsamy, Kondalsamy, 92b:34078 

Lando, Yu. K. Restrictions of an operator by orthogonality conditions imposed on its graph. 
(Russian) 92g:47003 

Lazzari, Barbara see Fabrizio, Mauro, 92k:73040 

Miyazaki, R. see Hara, Tadayuki; et al., 92m:34174 

Nasr, A.H. Asymptotic behaviour and oscillation of classes of integrodifferential equations. 
92k:34097 

Nonnenmacher, T. F. see Baumann, Gerd; et al., 92i:82136 

Pachpatte, B.G. see Dhakne, M. B., 92e:47127 

Pani, Amiya K. see Bahaguna, D.; et al., 92a:34066 

Papageorgiou, Nikolaos S. Volterra integrodifferential inclusions in reflexive Banach spaces. 
92i:34112 

Philos, Ch. G. see Ladas, G.; et al., 92g:34095 

Raghavendra, V. see Bahaguna, D.; et al., 92a:34066 

Sariev, A. D. see Sydykov, G. M., 92i:35127 

Sficas, Y.G. see Ladas, G.; et al., 92g:34095 

Sibgatullin, G. Kh. Comparison and estimation of solutions of a second-order differential 
equation with delay. (Russian) (see 92f:35003) 

Stépan, G. see Farkas, M., 92m:34153 

Sydykov, G. M. (with Sariev, A.D.) Inverse problems for the nonstationary transport 
equation in plane-parallel geometry. (Russian) 92i:35127 

Vitrichenko, E. E. (with Didenko, V. D.) The collocation method for the approximate 
solution of a singular integro-differential equation. (Russian) (see 92f:00016) 

— (with Drekova, G. V.) Some projection methods for solving singular integro-differential 
equations in the exceptional case. (Russian) 

Voronoi, A. N. (with Zavizion, G. V.) Construction of asymptotic expansions of solutions 
of a system of second-order linear integro-differential equations. (Russian) 92a:34087 

Wang, Ke! On the existence and uniqueness of periodic solutions of Volterra integral 
differential equations. 92e:34103 

— Periodic solutions of neutral Volterra integral differential equations with infinite delay. 
92h:34157 

Wegert, Elias On the global solvability of the diffusion equation of Satsuma and Mimura. 
(German and Russian summaries) 92j:35104 





707 1992 


W6jtowicz, Bogdan Periodic solutions of integro-differential equations that contain an 
integral-power series. (Russian) 92k:34099 

von Wolfersdorf, Lothar Travelling wave solutions of a nonlinear diffusion equation with 
integral term. (German and Russian summaries) 92j:35103 

Wa, Jian Hong Strong monotonicity principles and applications to Volterra integrodifferen- 
tial equations. 92e:34104 

Xie, Zuo Shi see Xu, Dao Yi; et al., 92e:34111 

Xu, Dao Yi (with Xie, Zuo Shi) Stability of large-scale Volterra integro-differential systems. 
(Chinese. English summary) 92e:34111 

Yoneyama, Toshiaki see Hara, Tadayuki; et al., 92m:34174 

Yuan, Chi (with Cheng, Ye) Resonance excitation of spiral density waves in a gaseous disk. 
II. A nonlinear theory and application to the 3 kiloparsec arm. 92£:85001 

Zavizion, G. V. see Voronoi, A. N., 92a:34087 


45K05 Integro-partial differential equations 


Brandon, Deborah (with Hrusa, William J.) Global existence of smooth shearing motions of 
a nonlinear viscoelastic fluid. 92e:45015 

Calogero, F. Solvable nonlinear integrodifferential equations of Boltzmann type. I. 
92k:45022 

Cancelier, C. E. (with Chemin, Jean-Yves) Sous-ellipticité d’opérateurs intégro-différentiels 
vérifiant le principe du maximum. (English summary) [Subellipticity of integro- 
differential operators satisfying the maximum principle] 92k:45023 

Chemin, Jean-Yves see Cancelier, C. E., 92k:45023 

Clément, Philippe P. * On (L?-L*) coerciveness for a class of integrodifferential equation 
on the line. 92d:45009 

— (with Da Prato, Giuseppe) Some results on nonlinear heat equations for materials of 
fading memory type. 92a:45031 

Da Prato, Giuseppe see Clément, Philippe P., 92a:45031 

Dubovskii, P. B. Generalized solutions of the coagulation equation. (Russian) 92k:45024 

Durdiev, D. K. An inverse problem for a three-dimensional wave equation in a medium with 
memory. (Russian) 92m:45007 

Fajita, Yasuhiro Integrodifferential equation which interpolates the heat equation and the 
wave equation. II. 92a:45032 

Gao, Hang Uniqueness of generalized solutions to a class of integro-partial differential 
equations. (Chinese. English summary) 92a:45033 

Hannsgen, Kenneth B. (with Wheeler, Robert L.) Viscoelastic and boundary feedback 
damping: precise energy decay rates when creep modes are dominant. 92a:45034 

Heard, Melvin L. Generalized solutions for one-dimensional flows of K-BKZ fluids. 
92£:45011 

Hirano, Norimichi On a forced quasilinear hyperbolic Volterra equation with fading 
memory. 92k:45025 

Hokkanen, Veli-Matti On some nonlinear dynamic systems. (see 92m:49004) 

Hrusa, William J. see Brandon, Deborah, 92e:45015 

Ismagulova, R.S. (with Umbetzhanov, D. U.) An almost multiperiodic solution of a 
system of integro-partial differential equations. (Russian. English and Kazakh summaries) 
92k:45026 

Kalinin, A. V. (with Morozov, S. F.) Existence and uniqueness of the global solution of a 
nonlinear integro-differential system of equations of y-radiation transfer. (Russian) (see 
924:35005) 

Kuperin, Yu. A. A selfadjoint dilation of the linear Boltzmann operator. (see 92c:00015) 

Londen, Stig-Olof Some existence results for a nonlinear hyperbolic integrodifferential 
equation with singular kernel. 92a:45035 

Matsenko, P. K. see Vel'misov, P. A., (92g:47001) 

Matveev, V.G. (with Selezov, I. T.) Fundamental solution of a convolution operator of 
aero-elastic interactions. (Russian) 92k:45027 

Milota, Jaroslav (with Netas, Jindtich; Sverak, Vladimir) On weak solutions to a 
viscoelasticity model. 92a:45036 

Masatake Newton polygons and formal Gevrey indices in the Cauchy-Goursat- 

Fuchs type equations. 92f:45012 

Morozov, S. F. see Kalinin, A. V., (92d:35005) 

Netas, Jindtich see Milota, Jaroslav; et al., 92a:45036 

Selezov, I.T. see Matveev, V. G., 92k:45027 

Sforza, Daniela Parabolic integrodifferential equations with singular kernels. 92k:45028 

Stewart, I. W. Density conservation for a coagulation equation. 92k:45029 

Sverak, Viadimir see Milota, Jaroslav; et al., 922:45036 

Ts’ai, Lang I Multiple solutions of nonlinear integro-differential equations. 92c:45010 

Tucsnak, Marius On an initial and boundary value problem for the nonlinear Timoshenko 
beam. 92g:45013 

Umbetzhanov, D. U. see Ismagulova, R. S., 92k:45026 

Vel'misov, P. A. (with Matsenko, P. K.) Solutions of an integro-differential equation with a 
symmetric differential operator. (Russian) (see 92g:47001) 

Wheeler, Robert L. see Hannsgen, Kenneth B., 92a:45034 

Yunusov, M. K. On the solution of some integro-differential problems. (Russian. Tajiki 
summary) 92k:45030 


Items with secondary classifications in 45K05 

Akhtamova, S.S. (with Belov, Yu. Ya.) Some inverse problems for parabolic equations. 
(Russian) 924:35292 

Anderson, Robert Leonard (with Hebda, Piotr W.; Rideau, Guy) Hamiltonian treatment of 
quasi-linear systems via a Bateman Lagrangian. 92k:58077 

Anikonov, Yu. E. Formulas for solutions of some inverse problems for evolution equations. 
(Russian) 

Antyufeev, V.S. A boundary value problem of radiative transfer across a plane layer. 
(Russian) 92k:85008 

Ball, J. M. (with Holmes, Philip; James, Richard Dana; Pego, Robert L.; Swart, P. J.) On 
the dynamics of fine structure. 924:35194 

Batt, Jiirgen (with Rein, Gerhard) Global classical solutions of the periodic Viasov-Poisson 
system in three dimensions. (French summary) 92f:35138 


45K Integro-partial differential equations 


Bellomo, N. (with Lachowicz, Miroslaw; Polewczak, Jacek; Toscani, Giuseppe) 
%* Mathematical topics in nonlinear kinetic theory. II. 92m:82110 

Belov, Yu. Ya. see Akhtamova, S. S., 92d:35292 

Bercia, Romeo Existence and uniqueness of thermal field in a rigid conductor of integral 
type. 92b:80004 

Biswas, G. see Karanjai, S., 92k:85009 and 92k:85010 

Boboev, K. see Kabanikhin, S. I. 

Borzymowski, Andrzej (with Dalla, Zawam A.) A boundary value problem for a system of 
hyperbolic partial differential equations in R™. 92d:35179 

Bouchut, Francois Existence de solutions régulitres globales pour le systtme de Vlasov- 
Poisson-Fokker-Planck en dimension trois. [Existence of global regular solutions for the 
Vlasov-Poisson-Fokker-Planck system in three dimensions] 92g:35213 

Bubnov, B. A. (with Salimov, K. D.) Inverse problems for the transport equation (the 
periodic case). (Russian) 92f:35143 

Chen, Zhen Tao A class of Volterra reaction-diffusion equations. (Chinese. English 
summary) 92m:35130 

Chipet, Michel (with Vergara-Caffarelli, G.) Some results in viscoelasticity theory via a 
simple perturbation argument. 924:73025 

Choulli, M. An abstract inverse problem. 92b:35169 

Dalla, Zawam A. see Borzymowski, Andrzej, 924:35179 

Dobrokhotov, S. Yu. (with Krichever, Ios. M.) Multiphase solutions of the Benjamin-Ono 
equation and their averaging. (Russian) 92g:35182 

Dolbeault, Jean Stationary states in plasma physics: Maxwellian solutions of the Vlasov- 
Poisson system. 92g:82110 

Dzhorbenadze, A. N. (with Tsutsunava, T. S.) Optimal control for a system described by an 
integro-partial differential equation. (Russian. English and Georgian summaries) 

Fairweather, Graeme Galerkin and collocation methods for partial integro-differential 
equations. (see 92b:35006) 

Feireisl, Eduard Global in time solutions to quasilinear telegraph equations involving 
operators with time delay. (Czech summary) 92j:35123 

Garroni, Maria Giovanna (with Menaldi, José-Luis) Green’s function and invariant density 
for an integro-differential operator of second order. 92c:35053 

— (with Vivaldi, M. A.) Quasilinear, parabolic, integro-differential problems with nonlinear 
oblique boundary conditions. 92e:35093 

Gavrikov, A. I. Functional-integral equations and elliptic boundary value problems. 
(Russian) 92j:35184 

Gentili, Giorgio Dissipativity conditions and variational principles for the heat flux 
equation with memory. 92j:73007 

Guerriero, Gabriele Global solutions and L'-stability to a nonlinear evolution problem in 
the diffusion of the particles of a mixture. 92i:76094 

Ha-Duong, Tuong On the boundary integral equations for the crack opening displacement 
of flat cracks. 92j:35142 

Hattori, Yoshinori (with Ohya, Yujiro) On a differential operator appearing in the analysis 
of water waves. 92f:35121 

Hebda, Piotr W. see Anderson, Robert Leonard; et al., 92k:58077 

Hernandez, Eduardo S. see Mondragon, A.; et al., 92m:81034 

Holmes, Philip see Ball, J. M.; et al., 92d:35194 

Horowitz, Joseph (with Karandikar, R. L.) Martingale problems associated with the 
Boltzmann equation. 92e:60194 

Ivankov, A. L. Some inverse problems for the linear Boltzmann equation. (Russian) 
92¢:82090 

James, Richard Dana see Ball, J. M.; et al., 924:35194 

Janno, Jaan On an inverse problem for determining the creep function with a given 
boundary data close to a singular function. (see 92m:93001) 

Kabanikhin, S. I. (with Boboev, K.) The problem of determining the coefficients of the 
kinetic transport equation in the P;-approximation. (Russian. Tajiki summary) 

— (with Lorenzi, A.) An identification problem related to the integrodifferential Maxwell’s 
equations. 92k:35288 

Kalinin, A. V. (with Morozov, S. F.) Stabilization of the solution of a nonlinear system of 
radiation transport in a two-level approximation. (Russian) 

Karandikar, R. L. see Horowitz, Joseph, 92¢e:60194 

Karanjai, S. (with Biswas, G.) Solution of integro-differential equations by principle of 
invariance. 92k:85010 

— (with Biswas, G.) Time-dependent scattering and transmission functions. 92k:85009 

Knyazikhin, Yu. V. Solvability of plane-parallel problems in radiative transfer theory. 
(Russian) 92a:47075 

Krichever, Ios. M. see Dobrokhotov, S. Yu., 92g:35182 

Krzywicki, A. (with Nadzieja, T.) Some results concerning the Poisson-Boltzmann 
equation. 92m:35092 

Kubo, Masahiro (with Langlais, Michel) Solutions périodiques pour un probleme de 
dynamique des populations. [Periodic solutions for a population-dy Pp ] 
92g:35020 

Kurbanov, I.O. The existence of an electromagnetic field in a plate with memory. (Russian) 
92£:78003 

— Solvability of nonlinear boundary value problems of electrodynamics with memory. 
(Russian) 92f:78004 

— Solvability of linear Maxwell equations with memory. (Russian. Ukrainian summary) 
92d:35283 

— see also Mitropol’skii, Yu. A., 92h:73036 

Kuznetsov, A. O. (with Nasretdinov, S.S.) Perturbation of a second-order differential 
equation by a small nonlinear integro-differential term. (Russian) 92m:34180 

Lachowicz, Miroslaw see Bellomo, N.; et al., 92m:82110 

Langlais, Michel see Kubo, Masahiro, 92g:35020 

Latyshev, Anatolii Vasilevich (with Yushkanov, A. A.) Exact solution of the Boltzmann 
equation with a BGK collision operator in a problem of weak evaporation. (Russian. 
English summary) 92g:82093 

Lebedev, D. R. (with Orlov, A. Yu.; Pakulyak, S. Z.; Zabrodin, A.) Nonlocal integrable 
equations as reductions of the Toda hierarchy. 92k:58119 

— (with Pakulyak, S. Z.) Zakharov-Shabat technique with quantized spectral parameter in 
the theory of integrable models. 92k:58120 








45K05 


Lenhart, Suzanne M. (with Yamada, Naoki) Perron’s method for viscosity solutions 
associated with piecewise-deterministic processes. 92i:35136 

Lé Quang Trung A noncoercive problem for singular integro-differential equations. 
(Russian) 92a:35050 

— On a noncoercive problem for singular integro-differential equations. (Russian) 
92k:35086 

Lions, Pierre-Louis (with Perthame, Benoit) Régularité des solutions du systtme de Vlasov- 
Poisson en dimension 3. (English summary) [Regularity of solutions of the Vlasov- 
Poisson system in three dimensions] 92b:35158 

Lorenzi, A. see Kabanikhin, S. I., 92k:35288 

Luca, I. Domain of influence and uniqueness in viscothermoelasticity of integral type. 
92b:73003 

Makin, R.S. On the spectrum of a stationary single-velocity transport equation with 
boundary conditions of reflection type. (Russian) 92b:82112 

Markov, Yu. A. (with Rudykh, G. A.; Sidorov, N. A.; Sinitsyn, A. V.) Some families of 
solutions of the Viasov-Maxwell system and their stability. 92m:82133 

— (with Rudykh, G. A.; Sidorov, N. A.; Sinitsyn, A. V.) A family of solutions of the Vlasov- 
Maxwell system and their stability. (Russian. English summary) 92h:78020 

Maslova, N. B. Mathematical methods for studying the Boltzmann equation. (Russian) 
92j:35178 

Matsuno, Yoshimasa Backlund transformation, conservation laws, and inverse scattering 
transform of a model integrodifferential equation for water waves. 92a:35136 

Menaldi, José-Luis see Garroni, Maria Giovanna, 92c:35053 

Michalski, Marek W. Some boundary value problems for a partial differential equation of 
noninteger order. 92i:35123 

Mitropol'skii, Yu. A. (with Kurbanov, I. O.) Solvability of a problem of electromagnetoelas- 
ticity with memory. (Russian. Ukrainian summary) 92h:73036 

Mo, Jia Qi A class of singularly perturbed nonlinear reaction diffusion integral-differential 
equation. (see 92a:00039) 

Mondragon, A. (with Hernandez, Eduardo S.; Velazquez Arcos, J. M.) Resonances and 
Gamow states in nonlocal potentials. (German summary) 92m:81034 

Morozov, S. F. see Kalinin, A. V., 92a:85005 

Nadzieja, T. see Krzywicki, A., 92m:35092 

Nasretdinov, S.S. see Kuznetsov, A. O., 92m:34180 

Ohya, Yujiro see Hattori, Yoshinori, 92f:35121 

Orlov, A. Yu. see Lebedev, D. R.; et al., 92k:58119 

Pakulyak, S. Z. see Lebedev, D. R.; et al., 92k:58119 and 92k:58120 

Palczewski, Andrzej (with Wennberg, B.) The Boltzmann equation with weakly inhomoge- 
neous data and a source term. 92d:82094 

Papageorgiou, Nikolaos S. Nonlinear Volterra integrodifferential evolution inclusions and 
optimal control. 92k:49009 

Pego, Robert L. see Ball, J. M.; et al., 92d:35194 

Perthame, Benoit see Lions, Pierre-Louis, 92b:35158 

Petzeltové, Hana The Hopf bifurcation theorem for parabolic equations with infinite delay. 
(Czech summary) 92m:34182 

Polewczak, Jacek see Bellomo, N.; et al., 92m:82110 

Popovich, R. E. Symmetry properties of an integro-differential equation of Hartree type. 
(Russian) (see 92b:35011) 

Poupaud, Frédéric A half-space problem for a nonlinear Boltzmann equation arising in 
semiconductor statistics. 92¢:82694 

Qin, Guo Qiang see Wang, Zai Hua; et al., 92f:82077 

Rasulov, T. M. Construction of a strongly quasiregular kernel of potential for the solution of 
a spectral problem. (Russian) 92f:35038 

Rein, Gerhard see Batt, Jiirgen, 92f:35138 

Rideau, Guy see Anderson, Robert Leonard; et al., 92k:58077 

Rudykh, G. A. see Markov, Yu. A.; et al., 92h:78020 and 92m:82133 

Salimov, K. D. see Bubnov, B. A., 92:35143 

Sidorov, N. A. see Markov, Yu. A.; et al., 92h:78020 and 92m:82133 

Sinitsyn, A. V. see Markov, Yu. A.; et al., 92h:78020 and $2m:82133 

Stewart, I. W. On the coagulation-fragmentation equation. 92g:82104 

Swart, P. J. see Ball, J. M.; et al., 92d:35194 

Tang, Xian Ying (with Wang, Lian) Construction of Lyapunov functionals of nonconvolu- 
tion type. (Chinese) 92¢:34109 

Tartar, Luc Memory effects and homogenization. 92h:35019 

Toscani, Giuseppe see Bellomo, N.; et al., 92m:82110 

Totaro, Silvia Upper bounds and approximation for the solution of a nonlinear particle 
transport problem with Maxwell type boundary conditions. 92g:82105 

Ts’ai, Lang I Nonlinear elliptic equations in unbounded domains. 924:35110 

Tsutsunava, T.S. see Dzhorbenadze, A. N. 

Varlamov, V. V. Asymptotic behavior of energy for an integro-differential equation that 
describes acoustic waves in a medium with relaxation. (Russian) 

Velazquez Arcos, J. M. see Mondragon, A.; et al., 92m:81034 

Vergara-Caffarelli, G. see Chipot, Michel, 92d:73025 

Vivaldi, M. A. see Garroni, Maria Giovanna, 92e:35093 

Voronina, V. A. Stochastic modeling of the solution of the Boltzmann equation for reacting 
gases. (Russian. English summary) 92m:82118 

Wang, Lian see Tang, Xian Ying; et al., 92e:34109 

Wang, Shen Lin Block-centered finite difference methods for quasi-linear hyperbolic partial 
integro-differential equations. (see 92a:00039) 

Wang, Zai Hua (with Yang, Ming Zhu; Qin, Guo Qiang) Positive solution to a neutron 
transport equation with a parameter. 92f:82077 

Wennberg, B. see Palczewski, Andrzej, 92d:82094 

von Wolfersdorf, Lothar On the viscous model vorticity equation. 92f:76033 

Wa, Jian Hong Semigroup and integral form of a class of partial differential equations with 
infinite delay. 92k:35282 

Xie, Sheng Li see Zhang, Zu Fa; et al. 

Yamada, Naoki see Lenhart, Suzanne M.., 92i:35136 

Yang, Ming Zhu see Wang, Zai Hua; et al., 92:82077 

Yushkanov, A. A. see Latyshev, Anatolii Vasil‘evich, 92g:82093 

Zabrodin, A. see Lebedev, D. R.; et al., 92k:58119 


INTEGRAL EQUATIONS 


1992 708 


Zhang, Zu Fa (with Xie, Sheng Li) Sector stability of the steady state of the Lotka-Volterra 
diffusion model with continuous time-delays. (Chinese. English summary) 


45Lxx Approximation of solutions 


45L05 Theoretical approximation of solutions 


Aizikovich, S. M. Asymptotic solution of a class of dual equations for large values of the 
parameter. (Russian) 92k:45031 

Ejissa, R. P. (with Gad, M. M.) Cubic mechanical method for the nonlinear system of 
singular integral equations. 92a:45037 

Elliott, David Convergence theorems for singular integral equations. 92a:45038 

Gabbasov, N.S. Direct methods for solving integral equations of the third kind. (Russian) 
(see 92d:35003) 

— A new direct method for solving integral equations of the third kind. (Russian) 
92b:45016 

Gad, M. M. see Eissa, R. P., 92a:45037 

Lifanov, I. 1. (with Lifanov, I. K.) Boundary value problems and singular integral equations 
with one-dimensional and multiple integrals. 92h:45017 

Lifanov, I. K. see Lifanov, I. I., 92h:45017 

Pereverzev, S. V. Hyperbolic cross and complexity of an approximate solution of Fredholm 
integral equations of the second kind with differentiable kernels. (Russian) 92g:45014 

Seichuk, V. N. Approximate solution of systems of singular integral equations that are given 
on an arbitrary closed Lyapunov contour. (Russian) 92b:45017 

Srazhidinov, A. Regularization in a class of continuous functions of Fredholm integral 
equations of the first kind. (Russian) 92b:45018 

Tselnik, David S. Constructing the Neumann series—an example. 


Items with secondary classifications in 45L05 

Allam, M. A. M. On reduction of thermoviscoelastic equations to integral equations. I. 
92i:73045 

Anderssen, R.S. see Nair, M. Thamban, 924:65235 

Asanov, A. see Imanaliev, M. I., 92h:45006 

Bellomo, N. (with Lachowicz, Miroslaw) On the asymptotic theory of the Boltzmann and 
Enskog equations: a rigorous H-theorem for the Enskog equation. 92h:82095 

Butris, Raad Noori Periodic solutions of a class of integral equations. (Russian) 92h:45012 

Chen, Hong Qing The asymptotic behavior of solutions to a class of singular integral 
equations. (Chinese) 

Crisci, Maria Rosaria (with Russo, Elvira; Vecchio, A.) Stability results for one-step 
discretized collocation methods in the numerical treatment of Volterra integral equations. 
92h:65197 

Cui, Ping Yuan (with Wu, Yao Hua*; Huang, Wen Hu) A study on the identification 
method for a class of integro-differential systems. (Chinese. English summary) 

Gahler, Siegfried (with Gahler, Werner) Product integration for integral equations of the 
second kind on the half line. 92k:45003 

Gahler, Werner see Gahler, Siegfried, 92k:45003 

Gilliam, David S. (with Mair, Bernard A.) Stability of a convolution method for inverse 
heat conduction problems. 92m:35270 

Gohberg, Israel (with Koltracht, Israel; Lancaster, Peter) Second order parallel algorithms 
for piecewise smooth displacement kernels. 92h:65199 

Golberg, M. A. Introduction to the numerical solution of Cauchy singular integral 
equations. 92a:65346 

Graham, Ivan G. (with Yan, Yi) Piecewise-constant collocation for first-kind boundary 
integral equations. 92g:65141 

Huang, Wen Hu see Cui, Ping Yuan; et al. 

Imanaliev, M. I. (with Asanov, A.) Solutions of systems of nonlinear two-dimensional 
Volterra integral equations of the first kind. (Russian) 92h:45006 

Kangro, Urve The spline-collocation method for solving a two-dimensional integral 
equation with a logarithmic kernel. (Russian. English summary) 924:65230 

Koltracht, Israel see Gohberg, Israel; et al., 92h:65199 

Lachowicz, Mirostaw see Bellomo, N., 92h:82095 

Lancaster, Peter see Gohberg, Israel; et al., 92h:65199 

Luchka, A. Yu. The variational-iterative method for integral equations. (Russian. Ukrainian 
summary) 92d:65231 

Ma, Ming see Wu, Cong Xin; et al., 92c:26016 

Madych, W. R. Summability and approximate reconstruction from Radon transform data. 
92i:44001 

Mair, Bernard A. see Gilliam, David S., 92m:35270 

Micke, A. Analysis angepaBter Quadraturmethoden fiir Integralgleichungen zweiter Art: 
Konvergenzeigenschaften. (English and Russian summaries) [Analysis of adapted 
quadrature methods for integral equations of the second kind: convergence properties] 
92d:65232 

Mikhailov, G. A. Minimax Monte Carlo methods. 92g:65143 

Monegato, Giovanni Product integration for one-dimensional integral equations of 
Fredholm type. 92k:65196 

Moret, Igor (with Omari, Pierpaolo) A quasi-Newton method for solving fixed point 
problems in Hilbert spaces. 92¢:65080 

Mydlarczyk, W. Galerkin methods for multidimensional nonlinear Volterra type equations. 
92f:65158 

Mynbaev, K.T. Approximate solution of a Fredholm integral equation of the second «ind in 
a multidimensional domain. (Russian) 92h:65201 

Nair, M. Thamban (with Anderssen, R. S.) Superconvergence of modified projection 
method for integral equations of the second kind. 924:65235 

Noreddin, M. M. (with Tikhonenko, N. Ya.) Convergence of the method of orthogonal 
polynomials for the approximation solution of integral equations of the first kind with I- 
kernels. (Russian. Ukrainian summary) 924:65236 

Omari, Pierpaolo see Moret, Igor, 92¢:65080 

Pedas, A. A. see Vainikko, Gennadi, 92e:65176 





709 1992 


Porath, Ginter Approximate methods for linear integral equations of the first kind. 
924:65237 

Préssdorf, Siegfried Approximation methods for integral equations of Cauchy and Mellin 
type. 921:65203 

Russo, Elvira see Crisci, Maria Rosaria; et al., 92h:65197 

Safronov, S. I. see Zakharov, E. V.; et al., 92b:65105 

Sharipov, K. K. Estimation of the complexity of approximate solutions of multidimensional 
Fredholm equations of the second kind. (Russian) 92i:65204 

Tarasov, R. P. see Zakharov, E. V.; et al., 92b:65105 

Tikhonenko, N. Ya. see Noreddin, M. M., 924:65236 

Tutunaru, S. A. A reduction method for bisingular integral equations with polynomial 
coefficients on closed Lyapunov frames. (Russian. English and Moldavian summaries) 
92j:65201 

Vainikko, Gennadi (with Pedas, A. A.) Convergence rate of a modified cubature formula 
method for multidimensional weakly singular integral equations. (Russian summary) 
92¢:65176 

— Piecewise-constant approximation of the solution of multidimensional weakly singular 
integral equations. (Russian) 92k:65199 

Vecchio, A. see Crisci, Maria Rosaria; et al., 92h:65197 

Wa, Cong Xin (with Ma, Ming) Series, integrals and integral equations of fuzzy set-valued 
mappings. (Chinese. English summary) 92c:26016 

Wa, Yao Hua?’ see Cui, Ping Yuan; et al. 

Yan, Yi see Graham, Ivan G., 92g:65141 

Zakharov, E. V. (with Safronov, S. I.; Tarasov, R. P.) A method for the numerical solution 
of integral equations in boundary value problems with an abelian group of symmetries of 
finite order. 92b:65105 

Zhang, Feng Gang A hyperbolic tangent quadrature rule for solving singular integral 
equations with Hadamard finite part integrals. 92h:65203 

Zolotarevskii, V.A. Approximate solutions of systems of singular integral equations in the 
spaces Ly. (Russian) 92m:45003 


45L10 Numerical approximation of solutions {For numerical 
analysis, see 65R20.} 


Abelman, S. (with Eyre, David J.) A rational basis for second-kind Abel integral equations. 
92i:45008 

Cai, Mao (with Edwards, Boyd F.; Han, Hongtao) Exact and asymptotic scaling solutions 
for fragmentation with mass loss. 92h:45018 

Edwards, Boyd F. see Cai, Mao; et al., 92h:45018 

Eyre, David J. see Abelman, S., 92i:45008 

Ganesh, M. (with Joshi, Mohan C.) Numerical solvability of Hammerstein integral 
equations of mixed type. 92d:45010 

Han, Hongtao see Cai, Mao; et al., 92h:45018 

Joshi, Mohan C. see Ganesh, M., 924:45010 

Kaneko, Hideaki (with Xu, Yuesheng) Numerical solutions for weakly singular Fredholm 
integral equations of the second kind. 924:45011 

Xu, Yuesheng see Kaneko, Hideaki, 92d:45011 

Zolotarevskii, V. A. * KoneqHoMepHbie MeTObI PelieHHA CHHTYIAPHBIX HHTerpasIbHBIX 
ypaBHeHHH Ha 3aMKHYTBIX KOHTypax HHTerpupoBaHHaA. (Russian) [Finite-dimensional 


methods for solving singular integral equations on closed integration contours] 
92h:45019 


Items with secondary classifications in 45L10 


Allen, G. D. (with Nelson, Paul, Jr.) On generalized finite difference methods for approxi- 
mating solutions to integral equations. 92i:65197 

Amer, S. M. see Saleh, Mohamed Hussein, 92m:65174 

Atkinson, Kendall E. (with Graham, Ivan G.) Iterative solution of linear systems arising 
from the boundary integral method. 92m:65169 

Crisci, Maria Rosaria (with Jackiewicz, Z.; Russo, Elvira; Vecchio, A.) Global stability 
analysis of the Runge-Kutta methods for Volterra integral and integro-differential 
equations with degenerate kernels. (German summary) 92c:65163 

Du, Jin Yuan see Lu, Jian Ke; et al., 92j:65198 

Gabbasov, N.S. New direct methods for solving integral equations of the third kind. 
(Russian) 92a:65345 

Garey, L. E. (with Gladwin, C. J.; Shaw, R. E.) Direct numerical methods for second order 
Fredholm integro-differential equations. 92i:65200 

Gladwin, C.J. see Garey, L. E.; et al., 921:65200 

Graham, Ivan G. see Atkinson, Kendall E., 92m:65169 

Toltukhovskii, A. A. see Sushkevich, T. A.; et al., 92h:85005 

Jackiewicz, Z. see Crisci, Maria Rosaria; et al., 92c:65163 

Kopeé, S. Properties of maximum entropy approximate solutions to Fredholm integral 
equations. 92b:45002 

Latyshev, Anatolii Vasil’evich Application of the Case method to the solution of the 
linearized kinetic BGK equation in the temperature jump problem. (Russian) 92h:82100 

La, Jian Ke (with Du, Jin Yuan) Numerical methods for solving singular integral 
equations. (Chinese. English summary) 92j:65198 

Murio, Diego A. Stable numerical inversion of Abel’s integral equation by discrete 
mollification. 92m:65172 

Nelson, Paul, Jr. see Allen, G. D., 92i:65197 

Rusak, V. N. (with Sheshko, M. A.) Approximate solution of singular integral equations on 
the basis of rational approximation. (Russian. English summary) 92c:65167 

Russo, Elvira see Crisci, Maria Rosaria; et al., 92c:65163 

Saleh, Mohamed Hussein (with Amer, S.M.) The approximate solution of nonlinear 
singular integro-differential equations. 92m:65174 

Sen, K. K. (with Wilson, S. J.) * Radiative transfer in curved media. 92k:85011 

Shaw, R. E. see Garey, L. E.; et al., 92i:65200 

Sheshko, M. A. see Rusak, V. N., 92c:65167 

Strelkov, S. A. see Sushkevich, T. A.; et al., 92h:85005 

Sushkevich, T. A. (with Strelkov, S. A.; Ioltukhovskii, A. A.) * Mero xapaxTepucTHK B 
3aylayax aTMocdepHott onTuKu. (Russian) [The method of characteristics in problems of 


45M Qualitative behavior 


atmospheric optics] 92h:85005 
Vecchio, A. see Crisci, Maria Rosaria; et al., 92¢:65163 
Wilson, S. J. see Sen, K. K., 92k:85011 
Zolotarevskii, V. A. C gence of the coll ion method and the method of mechanical 


quadratures for systems of singular integral equations on arbitrary closed smooth 
contours. (Russian) 92i:65207 





45L99 None of the above, but in this section 


Items with secondary classifications in 45L99 

Bainov, Drumi D. see Kazakova, N. G., 92b:34100 

Kazakova, N.G. (with Bainov, Drumi D.) An approximate solution of the initial value 
problem for integro-differential equations with a deviating argument. 92b:34100 

Yunusov, M. K. * Matematuueckne Mogesu Gopb6ni c BpeqHTenAMH arpoueHosos. (Russian) 
[Mathematical models of the battle against agricultural pests] 92j:92021 


45Mxx Qualitative behavior 


45M05 Asymptotics 


Abdou, Thabet Ahmed (with Ahmed, Abdel-Hadi Alem) On perturbations of nonlinear 
integrodifferential equations. 92m:45008 

Ahmed, Abdel-Hadi Alem see Abdou, Thabet Ahmed, 92m:45008 

Ramm, A. G. (with Shifrin, E. 1.) Asymptotics of the solution to a singularly perturbed 
integral equation. 92g:45015 

Shifrin, E. 1. see Ramm, A. G., 92g:45015 


Items with secondary classifications in 45M05 


Dauylbaev, M. K. Asymptotic behavior of the solution of a problem for an integrodifferen- 
tial equation with a small parameter multiplying the highest derivative. (Russian) 

Hannsgen, Kenneth B. (with Wheeler, Robert L.) Viscoelastic and boundary feedback 
damping: precise energy decay rates when creep modes are dominant. 92a:45034 

Kaptagaev, E.S. see Ved’, Yu. A., 92):45002 

Meunargiya, O. V. Asymptotic properties of the solutions of a boundary value problem of 
linear conjugation. (Russian. English summary) 92b:30047 

Sivasundaram, S. Stability properties of Volterra systems with impulsive effect. 92a:45029 

Ved’, Yu. A. (with Kaptagaev, E. S.) Hereditary systems with a left limit condition. 
(Russian) 92j:45002 

Wheeler, Robert L. see Hannsgen, Kenneth B., 92a:45034 

Zaghrout, Afaf A.S. On perturbations of nonlinear systems of Volterra integral equations. 
92k:45009 





45M10 Stability theory 


Items with secondary classifications in 45M10 

Geidarov, B. A. On the stability of solutions of Volterra equations of the first kind of 
convolution type. (Russian) 92m:45002 

Hofmann, Bernd (with Schachtzabel, H.) Uniqueness of monotone solutions to a nonlinear 
Fredholm integral equation. 92i:45001 

Schachtzabel, H. see Hofmann, Bernd, 92i:45001 

Xie, Zuo Shi see Xu, Dao Yi; et al., 92e:34111 

Xu, Dao Yi (with Xie, Zuo Shi) Stability of large-scale Volterra integro-differential systems. 
(Chinese. English summary) 92e:34111 


45M15 Periodic solutions 


Laczkovich, Miklés (with Redheffer, R.) Oscillating solutions of integral equations and 
linear recursions. 92¢:45016 
Redheffer, R. see Laczkovich, Miklés, 92e:45016 


Items with secondary classifications in 45M15 

Burton, T. A. (with Hatvani, Laszl6) On the existence of periodic solutions of some 
nonlinear functional-differential equations with unbounded delay. 92¢:45008 

Cushman, Ann L. see Elaydi, Saber, 92c:45009 

Elaydi, Saber (with Cushman, Ann L.) The existence of periodic solutions of nonlinear 
Volterra equations with infinite delay. 92¢:45009 

Hatvani, Laészlé see Burton, T. A., 92c:45008 


45M20 Positive solutions 


Items with secondary classifications in 45M20 

Ladas, G. (with Philos, Ch. G.; Sficas, Y.G.) Oscillations of integro-differential equations. 
92g:34095 

Philos, Ch. G. see Ladas, G.; et al., 92g:34095 

Sficas, Y.G. see Ladas, G.; et al., 929:34095 


45M99 None of the above, but in this section 


Items with secondary classifications in 45M99 

Chostkovskii, B. K. (with Yudashkin, A. A.) Active identification of nonlinear dynamical 
objects of Hammerstein type. (Russian) 

Farkas, M. (with Stépan, G.) On perturbation of the kernel in infinite delay systems. 
92m:34153 

Stépdn, G. see Farkas, M., 92m:34153 

Yudashkin, A. A. see Chostkovskii, B. K. 





45N05 


45N05 Abstract integral equations, integral equations in 
abstract spaces 


Wall, David J. N. On some differential equations arising in time domain scattering problems 
for a dissipative wave equation. 92h:45020 


Items with secondary classifications in 45N05 


Augustynowicz, A. (with Rodkina, A. E.) On some stochastic functional-integral equation. 
92j:60080 

Burton, T. A. (with Zhang, Bo') Periodic solutions of abstract differential equations with 
infinite delay. 92e:34085 

Clément, Philippe P. (with Da Prato, Giuseppe) Some results on nonlinear heat equations 
for materials of fading memory type. 92a:45031 

Da Prato, Giuseppe see Clément, Philippe P., 92a:45031 

Duan, Yan Zheng (with Wu, Cong Xin) Continuity and complete continuity of a kind of 
nonlinear operators in Fenchel-Orlicz spaces. 92b:47112 

Hannsgen, Kenneth B. (with Wheeler, Robert L.) Viscoelastic and boundary feedback 
damping: precise energy decay rates when creep modes are dominant. 92a:45034 

— (with Wheeler, Robert L.) Moment conditions for a Volterra integral equation in a 
Banach space. 92h:45005 

Januszewski, Janusz On the Hammerstein integral equations in Banach spaces. 92a:47074 

Poletaev, G.S. An abstract analogue of a dual equation of convolution type in a ring with a 
factorization pair. (Russian. Ukrainian summary) 92k:47037 

Rodkina, A. E. see Augustynowicz, A., 92j:60080 

Singh, Shyam Lal Application of fixed point theorems to nonlinear integrodifferential 
equations. 92g:47096 

Wheeler, Robert L. see Hannsgen, Kenneth B., 92a:45034 and 92h:45005 

Wa, Cong Xin see Duan, Yan Zheng, 92b:47112 

Zhang, Bo' see Burton, T. A., 92e:34085 


45P05 Integral operators [see also 47B38, 47G10] 


Shopolov, N. N. A class of linear integral operators of Fredholm type. (Bulgarian. English 
and Russian summaries) 


Items with secondary classifications in 45P05 


Arlotti, Luisa A perturbation theorem for positive contraction semigroups on L'-spaces 
with applications to transport equations and Kolmogorov’s differential equations. 
924:47055 

(Babaev, Arif Aligeidarovich) see Singular integral operators, 92f:45001 

Bubakar, Silla see Kilbas, A. A., 92m:47099 

Dzhangibekov, G. Noethericity and index of some two-dimensional singular integral 
operators. (Russian) 92i:47058 

Kang, Joo Ho On the unicellularity of Volterra-type integral operators. 92a:47059 

Kilbas, A. A. (with Bubakar, Silla) Smoothness of integral operators with power- 
logarithmic kernels. (Russian. English summary) 92m:47099 

Kozhukhar’, P. A. A Hardy-type inequality and the absence of eigenvalues in an integral- 
difference operator. (Russian. English and Moldavian summaries) 92i:47062 

Lapidus, Michel L. The Feynman-Kac formula with a Lebesgue-Stieltjes measure: an 
integral equation in the general case. 92e:47064 

Lomakovich, A. N. see Zabreiko, P. P., 92c:47063 

(Loud, W.S.) see Rejto, Peter, 92h:47072 

Maksimova, O. D. Integral operators with infinite matrix kernels. (Russian) 92d4:47066 

Matveev, V.G. (with Selezov, I. T.) Fundamental solution of a convolution operator of 
aero-elastic interactions. (Russian) 92k:45027 

McIntosh, Alan G. R. (with Qian, Tao) Singular integrals along Lipschitz curves with 
holomorphic kernels. 92j:30040 

Mironova, S. R. Properties of a singular integral in weighted Hélder spaces. (Russian) 
92i:42006 

Pilidi, V.S. Justification of the singularity excision method for bisingular integral operators 
with continuous coefficients. (Russian) 92¢:47092 

— A priori estimates for bisingular operators with continuous coefficients. (Russian) 
92c:47061 

Qian, Tao see Mcintosh, Alan G. R., 92j:30040 

Rejto, Peter (with Taboada, Mario) Weighted resolvent estimates for Volterra operators on 
unbounded intervals. 92h:47072 

Samko, N.G. The singular operator and operators with a weak singularity in weighted 
generalized Holder spaces. (Russian) 92g:47079 

Sedletskii, A.M. The rate of decrease of eigenvalues of a Fredholm operator. (Russian) 
92¢:47062 

Selezov, I.T. see Matveev, V. G., 92k:45027 

Shestopalov, Yu. V. On the theory of cylindrical resonators. 92c:78016 

Taboada, Mario see Rejto, Peter, 92h:47072 

Taha, T.S. Applications of the Jacobian elliptic functions in operator theory. 92k:47096 

Zabreiko, P. P. (with Lomakovich, A. N.) Volterra integral operators in spaces of functions 
of two variables. (Russian. Ukrainian summary) 92c:47063 

Zaluaga Uribe, Mario The generalized Hammerstein integral operators on Hilbert spaces. 
92i:47091 


Items listed otherwise than by author 


Singular integral operators * CunrynapHbie HHTerpambHbie Onepatopbi. (Russian) [Singular 
integral operators] 92f:45001 


INTEGRAL EQUATIONS 


1992 710 


46-XX Functional analysis {For manifolds 
modeled on topological linear spaces, 
see 57N20, 58Bxx.} 


46-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Aupetit, Bernard * A primer on spectral theory. 92c:46001 

Bollobas, Béla * Linear analysis. 92a:46001 

Castillo, Jestis M. F. Sequences, operators and tensors. 92a:46002 

Fomin, S. V. see Kolmogorov, A. N., 92e:46001 

Kolmogorov, A. N. (with Fomin, S. V.) * Mabadi’ nazhariyah al-dawal wa-al-tahlil al-riyadi 
al-dali. (Arabic) [The theoretical fundamentals of functions and mathematical functional 
analysis] 92¢:46001 

(Kuczma, Marcin E.) see Mlak, Wiodzimierz, 92m:46001 

Maté, Laszlé6 * Hilbert space methods in science and engineering. 92¢:46002 

Mlak, Wiodzimierz * Hilbert spaces and operator theory. 92m:46001 

Page, Warren * Topological uniform structures. 92d:46001 

Rudin, Walter * Functional analysis. 92k:46001 

(Shashah, Ibrahim Mahmid) see Kolmogorov, A. N., 92e:46001 


Items with secondary classifications in 46-01 

Benoist-Gueutal, Pierrette (with Courbage, Maurice) * Mathématiques pour la physique. 
Tome |. (French) [Mathematics for physics. Vol. 1] 92m:00004 

Boccara, Nino * Functional analysis. 92b:00002 

Courbage, Maurice see Benoist-Gueutal, Pierrette, 92m:00004 

Friedman, Bernard * Lectures on applications-oriented mathematics. 92a:00005 

Haaser, Norman B. (with Sullivan, Joseph A.) * Real analysis. 92a:00006 

(Helle, Renate) see Smirnov, Vladimir Ivanovich, 92i:00005 

IVin, Vladimir Aleksandrovich (with Poznyak, E.G.) * Fundamentos del andlisis 
matematico. 3. (Spanish) [Foundations of mathematical analysis. 3] 92g:00002c 

Kadison, Richard V. (with Ringrose, John R.) * Fundamentals of the theory of operator 
algebras. Vol. III. 92m:46084 

Light, William A. * An introduction to abstract analysis. 92a:00010 

(Mai, Brigitte) see Smirnov, Viadimir Ivanovich, 92i:00005 

(McFaden, Harold H.) see Sobolev, Sergei L'vovich, 92e:46067 

(Medkov, K. P.) see Il/in, Viadimir Aleksandrovich, 92g:00002c 

(Palamodov, V.P.) see Sobolev, Sergei L'vovich, 92¢:46067 

Poznyak, E.G. see IV'in, Viadimir Aleksandrovich, 92g:00002c 

Ringrose, John R. see Kadison, Richard V., 92m:46084 

Schiicker, Thomas * Distributions, Fourier transforms and some of their applications to 
physics. 92d:00001 

Smirnov, Vladimir Ivanovich * Lehrgang der hdheren Mathematik. Teil V. (German) 
[Course in higher mathematics. Part V] 92i:00005 

Sobolev, Sergei L'vovich * Some applications of functional analysis in mathematical 
physics. 92¢:46067 

Sullivan, Joseph A. see Haaser, Norman B., 92a:00006 

(Twersky, Victor) see Friedman, Bernard, 92a:00005 


46-02 Research exposition (monographs, survey articles) 
(Brudnyi, Yu. A.) see Studies in the theory of functions of several real variables, 92m:46002 


Items listed otherwise than by author 


Studies in the theory of functions of several real variables * ViccneqosaHua No TeopHH 
dyHKUHM MHOrHX BeWeCTBEHHBIX NepemeHHbIX. (Russian) [Studies in the theory of 
functions of several real variables] 92m:46002 


Items with secondary classifications in 46-02 

Egorov, Yurii Viadimirovich On the theory of generalized functions. (Russian) 924:46097 
Rao, M. M. (with Ren, Chong Dao) * Theory of Orlicz spaces. 92¢:46059 

Ren, Chong Dao see Rao, M. M., 92e:46059 

Sakai, Shéichiré * Operator algebras in dynamical systems. 92h:46099 


46-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Drijevi¢é, Hamid On the representation of functionals and the stability of mappings in 
Hilbert and Banach spaces. 92h:46001 

Filter, Wolfgang (with Labuda, Iwo) Essays on the Orlicz-Pettis theorem. I. The two 
theorems. 92¢:46003 

Jarosz, Krzysztof Generalizations of the Gleason-Kahane-Zelazko theorem. 92m:46003 

Labuda, Iwo see Filter, Wolfgang, 92e:46003 

Waelbroeck, Lucien Holomorphic functions taking their values in a quotient bornological 
space. 929:46001 

Wa, Liang Sen A survey of the development of operator algebra. (Chinese. English 
summary) 92c:46002 


Items with secondary classifications in 46-03 


Dieudonné, Jean De l’analyse fonctionnelle aux fondements de la géométrie algébrique. 
[From functional analysis to the foundations of algebraic geometry] 92c:01053c 

(Grothendieck, Alexander) see Dieudonné, Jean, 92c:01053c 

(Helly, Eduard) see Tikhomirov, V. M., 92k:01039 

Kadison, Richard V. Operator algebras—an overview. 92d:46141 

Kaminski, Andrzej Life and work of Professor Jan Mikusinski. 92e:01060 

Kreyszig, Erwin Friedrich Riesz als Wegbereiter der Funktionalanalysis. [Frigyes Riesz as a 
pioneer of functional analysis] 92c:01033 

(Mikusitiski, Jan) see Kamiriski, Andrzej, 92e:01060 

Murray, F. J. The rings of operators papers. 92c:01036 





711 1992 


Nagel, Rainer Order in pure and applied functional analysis. 92m:47071 

Pelczytiski, Aleksander Some results obtained at the Institute of Mathematics of the Polish 
Academy of Sciences. (Polish) 92h:01080 

(Riesz, Frigyes) see Kreyszig, Erwin, 92c:01033 

Saccoman, J. J. Extension theorems by Helly and Riesz revisited. (Italian summary) 
92i:01025 

Tikhomirov, V.M. Eduard Helly. (Russian) 92k:01039 

Wermer, John Function algebras in the fifties and sixties. 92g:01058 


46-06 Proceedings, conferences, collections, etc. 


(Bayod, José Manuel) see p-adic functional analysis, 92m:46005 
(Bierstedt, Klaus-D.) see Progress in functional analysis, 92i:46002 
(Bonet, José) see Progress in functional analysis, 92i:46002 
(De Grande-De Kimpe, Nicole) see p-adic functional analysis, 92m:46005 
(Horvath, John) see Progress in functional analysis, 92i:46002 
(Hudzik, Henryk) see Function spaces, 92m:46004 
(Jarosz, Krzysztof) see Function spaces, 92i:46001 
(Maestre, Manuel) see Progress in functional analysis, 92i:46002 
(Martinez-Maurica, Javier) see p-adic functional analysis, 92m:46005 
(Musielak, Julian) see Function spaces, 92m:46004 
(Odell, E.) see Functional analysis, 92d:46002 
(Orihuela, J.) see Seminar: Functional Analysis, 92b:46001 
(Pallarés Ruiz, Antonio J.) see Seminar: Functional Analysis, 92b:46001 
(Rosenthal, Haskell Paul) see Functional analysis, 92d:46002 
(Urbatiski, Ryszard) see Function spaces, 92m:46004 
(Valdivia, Manuel) see Progress in functional analysis, 92i:46002 
Items listed otherwise than by author 
Austin, TX * Functional analysis. 92d:46002 
Birthday: 

Valdivia, Manuel * Progress in functional analysis. 92i:46002 
Conference: 

Function Spaces * Function spaces. 92m:46004 

— * Function spaces. 92i:46001 

p-adic Functional Analysis * p-adic functional analysis. 92m:46005 
Edwardsville, IL * Function spaces. 92i:46001 
Function spaces * Function spaces. 92m:46004 
— * Function spaces. 92i:46001 
Functional analysis * Functional analysis. 924:46002 
Laredo * p-adic functional analysis. 92m:46005 
Lecture Notes in Mathematics * Functional analysis. 92d:46002 
Meeting: 

Functional Analysis * Progress in functional analysis. 92i:46002 
Murcia * Seminar on Functional Analysis. 1987. 92b:46001 
p-adic functional analysis * p-adic functional analysis. 92m:46005 
Peiiiscola * Progress in functional analysis. 92i:46002 
Poznan * Function spaces. 92m:46004 
Progress in functional analysis * Progress in functional analysis. 92i:46002 
Seminar: 


Functional Analysis * Seminar on Functional Analysis. 1987. 92b:46001 
— * Functional analysis. 92d:46002 


Items with secondary classifications in 46-06 


(Accardi, Luigi) see Quantum probability & related topics, 92i:81011 

(Doran, Robert S.) see Selfadjoint and nonselfadjoint operator algebras and operator theory, 
924:00034 

(Koshi, Shozo) see Functional analysis & related topics, 92h:00024 

(Lindenstrauss, J.) see Geometric aspects of functional analysis, 92b:00029 

(Milman, Vitali D.) see Geometric aspects of functional analysis, 92b:00029 

(Mshimba, Ali Seif) see Functional analytic methods in complex analysis and applications to 
partial differential equations, 92i:00023 

(Tutschke, Wolfgang) see Functional analytic methods in complex analysis and applications 
to partial differential equations, 92i1:00023 


Items listed otherwise than by author 
Acquafredda di Maratea * Trends in functional analysis and approximation theory. 
92:00028 


Applications of operator theory to real analysis; operator theory and related topics * Saydso 
ron no jitsu kaisekiteki Syd; saydso ron to sono shohen. (Japanese) [Applications of 
operator theory to real analysis; operator theory and related topics] 92d:47001 

Conference: 

Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory * Selfadjoint and 
nonselfadjoint operator algebras and operator theory. 92d:00034 

Contemporary Mathematics * Selfadjoint and nonselfadjoint operator algebras and 
operator theory. 92d:00034 

Current problems in mathematics. Newest results * Current problems in mathematics. 
Newest results. Vol. 36. 92f:00017 

Fort Worth, TX * Selfadjoint and nonselfadjoint operator algebras and operator theory. 
92d:00034 

Functional analysis & related topics * Functional analysis & related topics. 92h:00024 

Functional analytic methods in complex analysis and applications to partial differential 
equations * Functiona! analytic methods in complex analysis and applications to partial 
differential equations. 92i:00023 

Geometric aspects of functional analysis * Geometric aspects of functional analysis. 
92b:00029 

Lecture Notes in Mathematics * Geometric aspects of functional analysis. 92b:00029 

Meeting: 

Trends in Functional Analysis and Approximation Theory * Trends in functional analysis 
and approximation theory. 92f:00028 


46A Topological linear spaces and related structures 


46A03 


Quantum probability & related topics * Quantum probability & related topics. 92i:81011 

Sapporo * Functional analysis & related topics. 92h:00024 

Selfadjoint and nonselfadjoint operator algebras and operator theory * Selfadjoint and 
nonselfadjoint operator algebras and operator theory. 924:00034 


Geometric Aspects of Functional Analysis * Geometric aspects of functional analysis. 
92b:00029 
Structure of partial operator rings * Bubun saydso kan no k6z6. (Japanese) [Structure of 
partial operator rings] 92d:46142 
Symposium: 
Applications of Operator Theory to Real Analysis; Operator Theory and Related Topics 
* Saydso ron no jitsu kaisekiteki 6yd; sayOso ron to sono shthen. (Japanese) [Applica- 
tions of operator theory to real analysis; operator theory and related topics] 92d:47001 
‘unctional Analysis and Related Topics * Functional analysis & related topics. 
92h:00024 
Structure of Partial Operator Rings * Bubun saydso kan no k6z0. (Japanese) [Structure 
of partial operator rings] 92d:46142 
Trends in functional analysis and approximation theory * Trends in functional analysis and 
approximation theory. 92f:00028 
Trieste * Functional analytic methods in complex analysis and applications to partial 
differential equations. 92i:00023 
Workshop: 
Functional Analytic Methods in Complex Analysis and Applications to Partial Differential 
Equations * Functional analytic methods in complex analysis and applications to 
partial differential equations. 92i:00023 


Items with secondary classifications in 46-06 
Mishra, Shiva Kumar A study of identity for tensor products. 


46Axx Topological linear spaces and related structures 
{For function spaces, see 46Exx.} 


Items with secondary classifications in 46Axx 
Page, Warren * Topological uniform structures. 92d:46001 


46A03 General theory of locally convex spaces 


Aguilé i Fuster, Rafael Some classes of locally convex spaces. (Spanish. English summary) 
92a:46003 

Cascales, B. (with Orihuela, J.) Countably determined locally convex spaces. 92¢:46004 

Castillo, Jestis M. F. (with Sanchez Fernandez, Fernando) Approximation properties 
defined by the ideal of compact operators. (Turkish summary) 92k:46002 

Diaz Alcaide, Juan Carlos (with Lopez Molina, J. A.) The approximation property of order 
(p,q) in locally convex spaces. (Spanish) (see 92g:00024) 

Diaz Madrigal, Santiago On completely continuous maps from locally convex spaces to /;. 

Fernandez, Carmen On distinguished Fréchet spaces of Moscatelli type. (Turkish summary) 
92j:46001 

Lépez Molina, J. A. see Diaz Alcaide, Juan Carlos, (92g:00024) 

Manokhin, E. V. On K-locally uniformly convex spaces. (Russian) 92k:46003 

McKennon, Kelly see Qiu, Jing Hui, 92b:46002 

Orihuela, J. see Cascales, B., 92e:46004 

Qiu, Jing Hui (with McKennon, Kelly) Banach-Mackey spaces. 92b:46002 

Reznichenko, E. A. Normality and collective normality of function spaces. (Russian) 
92b:46003 

Rubié i Diaz, Pedro Polars of neighborhoods in locally convex quasicompatible vector 
spaces. (Spanish. English summary) (see 92m:00049) 

Saiflu, H. Two existence propositions on a-WCG normed spaces. (see 92m:00055) 

Sanchez Fernandez, Fernando see Castillo, Jestis M. F., 92k:46002 

Skordev, Dimit’r G. The indecomposability of a certain kind of semi-norms. 92i:46003 


Items with secondary classifications in 46A03 

Antosik, Piotr (with Lu, Li Rong; Jun, Yang Dian; Chun, Bu Zhen; Pap, Endre; Swartz, 
Charles) On uniform convergence of the inner product of sequences. 92b:22001 

Bonet, José (with Dierolf, Susanne) Countable strict inductive limits and the bounded 
decomposition property. 92¢:46003 

Chan, Bu Zhen see Antosik, Piotr; et al., 92b:22001 

Conradie, Jurie (with Swart, Johan) A general duality result for precompact sets. 
92g:46004 

Dierolf, Susanne see Bonet, José, 92c:46003 

Eyland, Roger (with Sharp, Bernice) A factor theorem for locally convex differentiability 
spaces. 92h:46060 

Fedorchuk, V. V. Softness of mappings of subsets of locally convex spaces. (Russian) 
92d:54017 

Ferrando, Juan Carlos (with Mas, José) Quasi totally barrelled spaces. 92b:46004 

— (with Sanchez Ruiz, Luis M.) On sequential barrelledness. 92j:46005 

Gilsdorf, Thomas E. Mackey convergence and quasi-sequentially webbed spaces. 
924:46012a 

— Corrigendum: “Mackey convergence and quasi-sequentially webbed spaces”. 92d:46012b 

Jun, Yang Dian see Antosik, Piotr; et al., 92b:22001 

Kang, Si-Ho Ultraproducts of locally convex spaces. 92g:46090 

Kirsten, Klaus-Detlef Bounded sets in projective tensor products of Hilbertizable locally 
convex spaces. 92h:46108 

La, Li Rong see Antosik, Piotr; et al., 92b:22001 

Mas, José see Ferrando, Juan Carlos, 92b:46004 

Meléndez, Y. On general LF -spaces of Moscatelli type. 92k:46009 

Narayanaswami, P. P. Baire properties of (LF)-spaces. 92d:46007 

Ngembo, Ngimbi Approximation property and strict spaces of continuous functions. 
92¢:46074 





46A03 


Pap, Endre see Antosik, Piotr; et al., 92b:22001 

Sanchez Ruiz, Luis M. see Ferrando, Juan Carlos, 92j:46005 

Sharp, Bernice see Eyland, Roger, 92h:46060 

Swart, Johan see Conradie, Jurie, 92g:46004 

Swartz, Charles see Antosik, Piotr; et al., 92b:22001 

Zarnadze, D. N. On Fréchet spaces each closed subspace of which is proximal. (Russian) 
92m:46006 

Zelazko, Wiestaw On a problem of Fell and Doran. 92k:46093 


46A04 Locally convex Fréchet spaces and (DF)-spaces 


Bonet, José (with Dierolf, Susanne; Fernandez, Carmen) The bidual of a distinguished 
Fréchet space need not be distinguished. 92h:46002 

— A question of Valdivia on quasinormable Fréchet spaces. 92k:46004 

— (with Diaz Alcaide, Juan Carlos) The problem of topologies of Grothendieck and the 
class of Fréchet T-spaces. 92j:46002 

— (with Dierolf, Susanne) On distinguished Fréchet spaces. 92i:46004 

Diaz Alcaide, Juan Carlos (with Mifiarro, Maria A.) Fréchet spaces with a totally bounded 
set. (Spanish. English summary) (see 92m:00049) 

— see also Bonet, José, 92j:46002 

Dierolf, Susanne see Bonet, José; et al., 92h:46002 and 92i:46004 

Fernandez, Carmen see Bonet, José; et al., 92h:46002 

Junek, Heinz The geometric-topological structure of the bounded subsets in (F)-spaces. 
92e:46005 

Kakol, Jerzy On some dense compact operator range subspaces in separable Fréchet spaces. 
92d:46003 

Komatsu, Hikosaburo Dual Komura spaces. 92d:46004 

Metafune, Giorgio (with Moscatelli, Vincenzo Bruno) Quojection and prequojections. 
92¢:46006 

— (with Moscatelli, Vincenzo Bruno) Dense subspaces with continuous norm in Fréchet 
spaces. (Russian summary) 92d:46005 

— (with Moscatelli, Vincenzo Bruno) On the space /?+ = ie 14, 92i:46005 

— Quojections and finite-dimensional decompositions. 92k:46005 

Minarro, Maria A. see Diaz Alcaide, Juan Carlos, (92m:00049) 

Moscatelli, Vincenzo Bruno see Metafune, Giorgio, 924:46005; 92e:46006 and 92i:46005 

(Onal, Siileyman) see Vogt, Dietmar, 92j:46003 

Ponte, S. A remark about the embedding (H(E/F),t) — (H(E),t), with t = 70, Tt», in 
Fréchet spaces. 92¢:46007 

Poppenberg, Markus A sufficient condition of type (Q) for tame splitting of short exact 
sequences of Fréchet spaces. 92k:46007 

— Characterization of the quotient spaces of (s) in the tame category. 92k:46006 

(Terzioglu, T.) see Vogt, Dietmar, 92j:46003 

Vogt, Dietmar Remarks on a paper of S. Onal and T. Terzioglu: “Unbounded linear 
operators and nuclear Kéthe quotients” [Arch. Math. (Basel) 54 (1990), no. 6, 576-581; 
MR 91h:46006]. (Turkish summary) 92j:46003 

Zarnadze, D. N. On Fréchet spaces each closed subspace of which is proximal. (Russian) 
92m:46006 


Items with secondary classifications in 46A04 

Bonet, José (with Peris, Alfredo) On the injective tensor product of quasinormable spaces. 
92}:46127 

Defant, Andreas (with Floret, Klaus; Taskinen, Jari) On the injective tensorproduct of 
(DF)-spaces. 92h:46107 

Floret, Klaus see Defant, Andreas; et al., 92h:46107 

Galbis, Antonio On weighted inductive limits of spaces of Fréchet-valued continuous 
functions. 92k:46056 

Kakol, Jerzy Remarks and examples concerning the weak basis theorem. 92d:46014 

Korobeinik, Yu. F. A criterion for the basis property in F-spaces. Applications to interpola- 
tion problems. (Russian) 92k:46014 

Krone, J. On Peiczyniski’s problem. 92:46006 

Laursen, K.B. Automatic continuity of intertwiners in topological vector spaces. 92k:47039 

Lépez Molina, J. A. (with Rivera Ortin, M.J.) The density condition in tensor products of 
decomposable Fréchet T-spaces. (Spanish. English summary) (see 92m:00049) 

Mastylo, Mieczystaw The Mackey completions of some interpolation F-spaces. 92g:46093 

Moscatelli, Vincenzo Bruno Nuclear Fréchet spaces without the bounded approximation 
property. 92i:46006 

Onal, Siileyman (with Yurdakul, M.) A note on strictly singular operators. (Turkish 
summary) 92c:47001 

Peris, Alfredo see Bonet, José, 92j:46127 

Rivera Ortin, M. J. see Lépez Molina, J. A., (92m:00049) 

Sanchez Ruiz, Luis M. On the Banach-Steinhaus theorem between topological vector spaces 
and locally convex spaces. 92a:46004 

Taskinen, Jari see Defant, Andreas; et al., 92h:46107 

Yurdakul, M. see Onal, Siileyman, 92c:47001 

Zhang, Xi Tang A theorem on the structure of Fréchet spaces. (Chinese. English summary) 
92i:46010 


46A08 Barrelled spaces, bornological spaces 


Bahya, A.O. (with Oudadess, M.) Ensembles coniquement bornés et cénes de Schur. 
(Italian summary) [Conically bounded sets and Schur cones] 92m:46007 

Caldas Cueva, Miguel A note on holomorphically sequentially infrabarrelled locally convex 
spaces. (French summary) 92¢:46008 

Ferrando, Juan Carlos (with Mas, José) Quasi totally barrelled spaces. 92b:46004 

— (with Lopez Pellicer, M.) Barrelled spaces of class Xo which are not totally barrelled. 
92j:46004 

— (with Sanchez Ruiz, Luis M.) On sequential barrelledness. 92j:46005 

— (with Lopez Pellicer, M.) An ordered suprabarrelled space. 92k:46008 

Kumar, Rakesh see Mukherji, Anindita, 92h:46004 

Lépez Pellicer, M. see Ferrando, Juan Carlos, 92j:46004 and 92k:46008 


FUNCTIONAL ANALYSIS 


Mas, José see Ferrando, Juan Carlos, 92b:46004 

Mas Mari, J. (with Sanchez Ruiz, Luis M.) On final topologies. 92h:46003 

Mukherji, Anindita (with Kumar, Rakesh) A note on p-ultrabarrelled space. 92h:46004 

Murali, V. Ultrabornological structures. 92b:46005 

Oudadess, M. see Bahya, A. O., 92m:46007 

Radenovi¢, Stojan Enlargements of Mackey’s topologies. 92h:46005 

Sanchez Ruiz, Luis M. On the Banach-Steinhaus theorem between topological vector spaces 
and locally convex spaces. 92a:46004 

— see also Mas Mari, J., 92h:46003 and Ferrando, Juan Carlos, 92j:46005 

Todd, Aaron R. Beside and between Baire and barrelled or linear variations on category. 
92d:46006 


Items with secondary classifications in 46A08 

Bravo Villar, Ma. Pilar A characterization of the bornological spaces C(X). (Spanish) (see 
92g:00024) 

Drewnowski, Lech (with Florencio, Miguel; Paul, Pedro J.) The space of Pettis integrable 
functions is barrelled. 92f:46045 

El Miloudi, Marhrani see Mohamed, Aamri, 92k:16057 

Florencio, Miguel see Drewnowski, Lech; et al., 92f:46045 

Jha, K. K. (with Sharan, P. K.; Mishra, Shiva Kumar) On topological tensor products of 
(countably) barrelled spaces. 92j:46128 

Junek, Heinz The geometric-topological structure of the bounded subsets in (F')-spaces. 
92¢:46005 

Katsaras, A. K. c-ultrabornological spaces and spaces of continuous non-Archimedean 
valued functions. (Serbo-Croatian summary) 924:46184 

Lépez Pellicer, M. see Sanchez Ruiz, Luis M., 92k:46011 

McKennon, Kelly see Qiu, Jing Hui, 92b:46002 

Mishra, Shiva Kumar see Jha, K. K.; et al., 92j:46128 

Mohamed, Aamri (with El Miloudi, Marhrani) Les S-anneaux et propriétés de tonnelage 
dans les modules topologiques. (English summary) [S-rings and barrelledness in 
topological modules] 92k:16057 

Murali, V. Ultrabornological structures. 92h:46007 

Paul, Pedro J. see Drewnowski, Lech; et al., 92f:46045 

Pifeiro, Candido A note on bornivorous barrels of C(X, E). 92a:46039 

Pombo, Dinamérico P., Jr. A note on infrabarrelled locally K-convex spaces. 92i:46090 

Prasad, Brij Nandan (with Sinha, Jay Prakash) Space of absolutely summable families. 

Qiu, Jing Hui (with McKennon, Kelly) Banach-Mackey spaces. 92b:46002 

Saiflu, H. Two existence propositions on a-WCG normed spaces. (see 92m:00055) 

Sanchez Ruiz, Luis M. Two maximal classes of topological vector spaces. 92f:46003 

— On the closed graph theorem between topological vector spaces and Fréchet spaces. 
92h:46008a 

— On locally bounded linear mappings between topological vector spaces and Fréchet 
spaces. 92h:46008b 

— (with Lépez Pellicer, M.) On linearly topologized spaces and y-spaces. 92k:46011 

Sharan, P. K. see Jha, K. K.; et al., 92j:46128 

Sinha, Jay Prakash see Prasad, Brij Nandan 


46A11 Spaces determined by compactness or summability 
properties (nuclear spaces, Schwartz spaces, Montel 
spaces, etc.) 


Castillo, Jestis M. F. On the structure of 6-spaces. 92g:46002 

Diaz Alcaide, Juan Carlos (with Mifarro, Maria A.) Quojections without normable 
subspaces. (Spanish. English summary) (see 92b:00044) 

Dinh Quang Lw’u Nuclearity and amarts of finite order in locally convex spaces. 92¢:46009 

Miiiarro, Maria A. see Diaz Alcaide, Juan Carlos, (92b:00044) 

Moscatelli, Vincenzo Bruno Nuclear Fréchet spaces without the bounded approximation 
property. 92i:46006 

Prasad, Brij Nandan (with Sinha, Jay Prakash) Space of absolutely summable families. 

Sinha, Jay Prakash see Prasad, Brij Nandan 


Items with secondary classifications in 46A11 

Bonet, José (with Diaz Alcaide, Juan Carlos) The problem of topologies of Grothendieck 
and the class of Fréchet T-spaces. 92j:46002 

Defant, Andreas (with Moraes, Luiza A.) On unconditional bases in spaces of holomorphic 
functions in infinite dimensions. 92¢:46045 

De Grande-De Kimpe, Nicole (with Navarro, S.) Non-Archimedean nuclearity and spaces 
of continuous functions. 92h:46113 

Deheri, G. M. An alternative proof of basis theorem. 92j:46007 

Diaz Alcaide, Juan Carlos see Bonet, José, 92j:46002 

Dineen, Sean Monomial expansions in infinite-dimensional holomorphy. 92¢:46097 

Krone, J. On Pelczynski’s problem. 922:46006 

Moraes, Luiza A. see Defant, Andreas, 92¢:46045 

Mora Martinez, Gaspar Nuclearity of harmonic function spaces with asymptotic expan- 
sions. (Spanish. English summary) 92h:46030 

Navarro, S. see De Grande-De Kimpe, Nicole, 92h:46113 

Onal, Siileyman (with Yurdakul, M.) A note on strictly singular operators. (Turkish 
summary) 92c:47001 

Poppenberg, Markus Characterization of the quotient spaces of (s) in the tame category. 
92k:46006 

Terzioglu, T. Some invariants of Fréchet spaces and imbeddings of smooth sequence spaces. 
92¢:46013 

Yurdakul, M. see Onal, Siileyman, 92c:47001 


46A13 Spaces defined by inductive or projective limits (LB, LF, 
etc.) [see also 46M40] 


Bonet, José (with Dierolf, Susanne) Countable strict inductive limits and the bounded 
decomposition property. 92¢:46003 





713 1992 


Cumming, J. (with van Eijndhoven, S. J. L.) * Inductive and projective limits of weighted 
unconditional Schauder systems. 92h:46006 

Dierolf, Susanne see Bonet, José, 92c:46003 

van Eijndhoven, S. J. L. see Cumming, J., 92h:46006 

Ferrando, Juan Carlos see Sanchez Ruiz, Luis M., (92b:00044) 

Korobeinik, Yu. F. Dense spaces and their applications. (Russian) 92m:46008 

Meléndez, Y. On general LF-spaces of Moscatelli type. 92k:46009 

Narayanaswami, P. P. Baire properties of (LF)-spaces. 924:46007 

Sanchez Ruiz, Luis M. (with Ferrando, Juan Carlos) Inductive limits of linearly topologized 
spaces. (Spanish. English summary) (see 92b:00044) 


Items with secondary classifications in 46A13 


Bierstedt, Klaus-D. (with Bonet, José) Some recent results on 7 C(X). 92b:46026 

— (with Bonet, José) Projective descriptions of weighted inductive limits: the vector-valued 
cases. 92¢:46044 

— (with Bonet, José) Completeness of the (LB)-spaces Y C(X). 92d:46062 

Bonet, José (with Galbis, Antonio) The identity L(E, F) = LB(E, F), tensor products and 
inductive limits. 92¢:46140 

— (with Peris, Alfredo) On the injective tensor p of quasinormable spaces. 92j:46127 

— see also Bierstedt, Klaus-D., 92b:46026; 92c:46044 and 92d:46062 

Fernandez, Carmen On distinguished Fréchet spaces of Moscatelli type. (Turkish summary) 
92j:46001 

Fernandez Esteller, Rosa Ma. Products of generalized normed spaces. (Spanish. English 
summary) (see 92m:00049) 

Galbis, Antonio On weighted inductive limits of spaces of Fréchet-valued continuous 
functions. 92k:46056 

— see also Bonet, José, 92¢:46140 

Mas Mari, J. (with Sanchez Ruiz, Luis M.) On final topologies. 92h:46003 

Peris, Alfredo see Bonet, José, 92j:46127 

Sanchez Ruiz, Luis M. see Mas Mari, J., 92h:46003 





46A16 Not locally convex spaces (metrizable topological linear 
spaces, locally bounded spaces, quasi-Banach spaces, etc.) 


Antosik, Piotr (with Swartz, Charles) A remark on a Banach-Steinhaus theorem of Narang. 
92b:46006 

Burzyk, Jézef Decompositions of F-spaces into spaces with properties K, N, or x. 
92b:46007 

Ferndndez, Carmen Semi-L,B spaces. (Spanish. English summary) 92¢:46010 

Kadelburg, Zoran (with Radenovi¢, Stojan) On ultrapowers of linear topological spaces 
without convexity conditions. 924:46008 

Majchrzak, Ryszarda (with Walczak, Bronislawa) Sur certaine propriété de la somme 
algébrique des ensembles dans l’espace linéaire topologique. (Polish summary) [A 
property of the algebraic sum of sets in a linear topological space] 92g:46003 

Radenovi¢, Stojan see Kadelburg, Zoran, 92d:46008 

Swartz, Charles see Antosik, Piotr, 92b:46006 

Walczak, Bronisiawa see Majchrzak, Ryszarda, 92g:46003 


Items with secondary classifications in 46A16 

Gong, Huai Yun (with Li, Tian) Local boundedness in probabilistic normed spaces. 
(Chinese. English summary) 92i:46091 

Grzybowski, Jerzy On F-quasinorms in vector spaces over a locally compact field with 
valuation. (Russian summary) 924:46183 

Kalton, N. J. The Maharam problem. 92c¢:28005 

Khan, Liagat Ali (with Rowlands, K.) The o-compact-open topology and its relatives on a 
space of vector-valued functions. (Italian summary) 92k:46057 

Li, Tian see Gong, Huai Yun; et al., 92i:46091 

Murali, V. Ultrabornological structures. 92h:46007 

Narang, T. D. Metric projections in linear metric spaces. 92b:41055 

Rowlands, K. see Khan, Liaqat Ali, 92k:46057 

Sanchez Ruiz, Luis M. On the Banach-Steinhaus theorem between topological vector spaces 
and locally convex spaces. 92a:46004 

Szaz, Arpad Pointwise limits of nets of multilinear maps. 92m:47045 


46A17 Bornologies and related structures; Mackey convergence, 
etc. 


Murali, V. Ultrabornological structures. 92h:46007 


Items with secondary classifications in 46A17 


Hamhalter, Jan On modular spaces. (Russian summary) 92b:46014 
Junek, Heinz The geometric-topological structure of the bounded subsets in (F')-spaces. 
92e:46005 


46A19 Other “topological” linear spaces (convergence spaces, 
ranked spaces, spaces with a metric taking values in an 
ordered structure more general than R, etc.) 


Al-Abbas, M. A. see Al-Rashed, Abdallah M., 92¢:46004 and 92c:46005 

Al-Rashed, Abdallah M. (with Al-Abbas, M. A.) A characterization of strict convexity in 2- 
normed spaces. 92¢:46004 

— (with Al-Abbas, M. A.) Corrections to certain results on quasi-2-normed spaces. 
92¢:46005 

Cho, Yeol Je (with Freese, Raymond W.) Isometry conditions in linear 2-normed spaces. 
92b:46008 

Fernandez Esteller, Rosa Ma. Products of generalized normed spaces. (Spanish. English 
summary) (see 92m:00049) 

Freese, Raymond W. see Cho, Yeol Je, 92b:46008 


46A Topological linear spaces and related structures 


46A22 


Kriegl, A. (with Nel, Louis Daniel') Convenient vector spaces of smooth functions. 
92k:46010 

Lépez Pellicer, M. see Sanchez Ruiz, Luis M., 92k:46011 

Nel, Louis Daniel’ see Kriegl, A., 92k:46010 

Sanchez Ruiz, Luis M. (with Lopez Pellicer, M.) On linearly topologized spaces and y- 
spaces. 92k:46011 


Items with secondary classifications in 46A19 


Beattic, Ronald (with Butzmann, H.-P.) Convergence and distributions. 92m:46052 

— (with Butzmann, H.-P.) On the Banach-Steinhaus theorem and the continuity of bilinear 
mappings. 92h:46070 

Butzmann, H.-P. see Beattie, Ronald, 92h:46070 and 92m:46052 

Castaiieda Bravo, Fernando (with Garcia Diez, I.; Otxoa de Alda, J. J.) The Hahn-Banach 
property in diagonal convergence spaces. (Spanish. English summary) (see 92b:00044) 

— (with Garcia Diez, I.; Otxoa de Alda, J. J.) The Hahn-Banach property for closed 
subspaces of convergence vector spaces. (Spanish. English summary) (see 92b:00044) 

— (with Garcia Diez, I.; Otxoa de Alda, J. J.) Passage to the limit in convergence vector 
spaces. (Spanish. English summary) (see 92m:00049) 

Ferrando, Juan Carlos see Sanchez Ruiz, Luis M., (92b:00044) 

Garcia Diez, I. see Castaiieda Bravo, Fernando; et al., (92b:00044); (92b:00044) and 
(92m:00049) 

Karanikas, C. On a class of Riesz products on metrizable groups. 92e:42006 

Murali, V. Ultrabornological structures. 92h:46007 

Nakanishi, Shizu An extension theorem for r-continuous linear operators on Denjoy 
integrable functions. 92m:47011 

Otxoa de Alda, J.J. see Castaiieda Bravo, Fernando; et al., (92b:00044); (92b:00044) and 
(92m:00049) 

Sanchez Ruiz, Luis M. (with Ferrando, Juan Carlos) Inductive limits of linearly topologized 
spaces. (Spanish. English summary) (see 92b:00044) 

Szaz, Arpad Pointwise limits of nets of multilinear maps. 92m:47045 


46A20 Duality theory 


Conradie, Jurie (with Swart, Johan) A general duality result for precompact sets. 
92g:46004 

Robertson, Neill Dentability in locally convex spaces. 92d:46009 

Swart, Johan see Conradie, Jurie, 92g:46004 


Items with secondary classifications in 46A20 

Bonet, José (with Dierolf, Susanne; Fernandez, Carmen) The bidual of a distinguished 
Fréchet space need not be distinguished. 92h:46002 

Canela, M. A. (with Rallé,M.) Representation of linear functionals on E’ as finite elements 
of *Ew. (Italian summary) 92g:46096 

Dierolf, Susanne see Bonet, José; et al., 92h:46002 

Fernandez, Carmen see Bonet, José; et al., 92h:46002 

Melikhov, S. N. Nontrivial decompositions of zero and representative subspaces. (Russian) 
924:47032 

Rallé, M. see Canela, M. A., 92g:46096 


46A22 Theorems of Hahn-Banach type; extension and lifting of 
functionals and operators [see also 46M10] 


Castaiteda Bravo, Fernando (with Garcia Diez, I.; Otxoa de Alda, J. J.) The Hahn-Banach 
property in diagonal convergence spaces. (Spanish. English summary) (see 92b:00044) 

— (with Garcia Diez, I.; Otxoa de Alda, J. J.) The Hahn-Banach property for closed 
subspaces of convergence vector spaces. (Spanish. English summary) (see 92b:00044) 

Coimbra, Elvira * A generalization of the Hahn-Banach theorem. 924:46010 

Domenech Blazquez, Margarita see Rossell i Garriga, Josep Maria; et al., (92m:00050) 

Garcia Diez, I. see Castaiteda Bravo, Fernando; et al., (92b:00044) and (92b:00044) 

Gluschankof, Daniel (with Tilli, Miguel) On some extension theorems in functional 
analysis and the theory of Boolean algebras. 92f:46001 

Li, Shi Zheng Necessary and sufficient conditions for extension of nonnegative linear 
functionals. (Chinese) 92i:46007 

Otxoa de Alda, J. J. see Castaiieda Bravo, Fernando; et al., (92b:00044) and (92b:00044) 

Plappert, P. A sandwich theorem for precharges. 924:46011 

Polonskii, Yu. A. General form of the Hahn-Banach-Kantorovich theorem. (Russian) 
92c:46006 

Rossell i Garriga, Josep Maria (with Doménech Blazquez, Margarita; Rubio i Diaz, 
Pedro) Generalizations of the Hahn-Banach theorem. (Spanish. English summary) (see 
92m:00050) 

Rubi6 i Diaz, Pedro see Rossell i Garriga, Josep Maria; et al., (92m:00050) 

Tilli, Miguel see Gluschankof, Daniel, 92f:46001 


Items with secondary classifications in 46A22 


Benitez, Carlos (with Otero, Ma. Carmen) A note on the extension of line-preserving 
continuous bilinear functionals. (Spanish) (see 92g:00024) 

Chojnacki, Wojciech Erratum: “On a theorem of Day, a Mazur-Orlicz theorem and a 
generalization of some theorems of Silverman” [Collog. Math. 50 (1986), no. 2, 257-262; 
MR 88i:43001]. (French) 

Danet, Rodica-Mihaela A result about the existence of a positive linear operator. 92e:47063 

Foreman, Matthew (with Wehrung, Friedrich) The Hahn-Banach theorem implies the 
existence of a non-Lebesgue measurable set. 92m:03077 

Gluschankof, Daniel (with Tilli, Miguel) Measure and representation. (Spanish) 
92k:28035 

Lewis, Alain A. A game-theoretic equivalence to the Hahn-Banach theorem. 92b:90249 

Nikodem, Kazimierz On the support of midconvex operators. 92g:26016 

Oja, Eve * Iipononxenne byHkKuMOHasOB HK CTpyKTypa MpocTpaHcTBa HelIpepbIBHBIX 
IMHeMHBIX OnepaTopos. (Russian) [Extension of functionals and the structure of the space 
of continuous linear operators] 92g:46019 

Otero, Ma. Carmen see Benitez, Carlos, (92g:00024) 





46A22 


Pawlikowski, Janusz The Hahn-Banach theorem implies the Banach-Tarski paradox. 
92m:03078 

Rasa, I. On some systems of linear inequalities. III. 92i:46011 

Rauch, Patrick Pseud plé ion dans les espaces de Banach. (English summary) 

Pseud: pl tion in Banach spaces] 92k:46017 

Su, Yong Fu The Hahn-Banach theorem for a class of linear functionals in probabilistic 
normed spaces and its applications. (Chinese. English summary) 92h:46114 

Tilli, Miguel see Gluschankof, Daniel, 92k:28035 

Wehrung, Friedrich see Foreman, Matthew, 92m:03077 








46A25 Reflexivity and semi-reflexivity [see also 46B10] 
Ferrando, Juan Carlos On convex-Suslin spaces. 92g:46005 


Items with secondary classifications in 46A25 


Cascales, B. (with Orihuela, J.) Countably determined locally convex spaces. 92¢:46004 
Orihuela, J. see Cascales, B., 92e:46004 


46A30 Open mapping and closed graph theorems; completeness 
(including B-, B,-completeness) 


Bilbao Arrese, Jestis Mario see Diaz Madrigal, Santiago, (92b:00044) 

Bunyaev, M. M. €-closure in locally convex spaces and a closed graph theorem. (Russian) 
92f:46002 

Diaz Madrigal, Santiago (with Bilbao Arrese, Jestis Mario) A new characterization of local 
completeness. (Spanish. English summary) (see 92b:00044) 

Epifanov, O. V. On the existence of a continuous right inverse for an operator in a class of 
locally convex spaces. (Russian) 92m:46009 

Gilsdorf, Thomas E. Mackey convergence and quasi-sequentially webbed spaces. 
92d:46012a 

— Corrigendum: “Mackey convergence and quasi-sequentially webbed spaces”. 924:46012b 

Maté, Laszl6 Remarks on the Ptak-Stein theorem. 92k:46012 

Melnikov, E. V. A closed graph theorem and generalized well-posedness of the abstract 
Cauchy problem. (Russian) 92k:46013 

Pap, Endre (with Swartz, Charles) On the closed graph theorems. 92b:46009 

Sanchez Ruiz, Luis M. On the closed graph theorem between TVS and Banach spaces. 

— Two maximal classes of topological vector spaces. 92f:46003 

— On the closed graph theorem between topological vector spaces and Fréchet spaces. 
92h:46008a 

— On locally bounded linear mappings between topological vector spaces and Fréchet 
spaces. 92h:46008b 

— On completeness and the closed graph theorem. 92j:46006 

Swartz, Charles see Pap, Endre, 92b:46009 

Yang, Bin? Sequential continuity of closed operators and sequential convergence in the 
weak topology. (Chinese. English summary) 92b:46010 


Items with secondary classifications in 46A30 

Bhave, N.S. (with Raghunathan, T. T.) A study of some generalised spaces of entire 
functions. 92¢:46021 

Burzyk, Jézef Decompositions of F-spaces into spaces with properties K, N, or x. 
92b:46007 

Diaz Madrigal, Santiago On completely continuous maps from locally convex spaces to /;. 

Ferrando, Juan Carlos On convex-Suslin spaces. 92g:46005 

Jourani, A. On metric regularity of multifunctions. 92m:54039 

Katsaras, A. K. Completeness in linear fuzzy neighborhood spaces. 92b:54012 

Kozlowska, Grazyna Some remarks on modular approximation by a filtered family of linear 
operators. 924:46019 

Li, Rong Lu (with Swartz, Charles) Equicontinuity and uniform boundedness. (Italian 
summary) 92j:46028 

Mastylo, Mieczyslaw The Mackey completions of some interpolation F-spaces. 92g:46093 

Meléndez, Y. On general LF -spaces of Moscatelli type. 92k:46009 

Nakanishi, Shizu A closed graph theorem in the space of Denjoy integrable functions. I. 
92¢:46034 

Raghunathan, T.T. see Bhave, N. S., 92c:46021 

Roelcke, Walter Incomplete infima of complete uniformities related to topological groups 
and topological vector spaces. 92¢:54033 

Shkarin, S.A. Some results on the solvability of ordinary linear differential equations in 
locally convex spaces. (Russian) 92¢:34068 

Simons, Stephen The occasional distributivity of o over é and the change of variable 
formula for conjugate functions. 92¢:46053 

Swartz, Charles see Li, Rong Lu, 92j:46028 


46A32 Spaces of linear operators; topological tensor products; 
approximation properties [see also 46B28, 46M05, 47D15, 
47D50] 


Fourie, Jan H. Absolutely summing multipliers and topologies on L(E, F). 92¢:46007 
Zelazko, Wiestaw A density theorem for F-spaces. 92a:46005 


Items with secondary classifications in 46A32 

Bonet, José (with Diaz Alcaide, Juan Carlos) The problem of the Grothendieck topologies 
and the class of Fréchet T-spaces. (Spanish. English summary) (see 92b:00044) 

Canavati, José A. (with Galaz Fontes, Fernando) Space of distributions induced by certain 
families of linear operators. 92k:46062 

Diaz Alcaide, Juan Carlos see Bonet, José, (92b:00044) 

Galaz Fontes, Fernando see Canavati, José A., 92k:46062 

Grenbek, Niels Amenability and weak amenability of tensor algebras and algebras of 
nuclear operators. 92f:46062 


FUNCTIONAL ANALYSIS 


1992 714 


Hola, Lubica The Attouch-Wets topology and a characterisation of normable linear spaces. 
92:54013 

Jha, K. K. (with Sharan, P. K.; Mishra, Shiva Kumar) On topological tensor products of 
(countably) barrelled spaces. 92j:46128 

Mishra, Shiva Kumar see Jha, K. K.; et al., 92j:46128 

Oja, Eve * IIpogonxenne dbyHkuHOHasOB HK CTpyKTypa NpocTpaHCTBa HelpepbIBHBIX 
JMHeHHBIX OnepaTopos. (Russian) [Extension of functionals and the structure of the space 
of continuous linear operators] 92g:46019 

Ricker, Werner J. Boolean algebras of projections and spectral measures in dual spaces. 
92e:47059 

Sharan, P. K. see Jha, K. K.; et al., 92j:46128 


46A35 Summability and bases [see also 46B15] 


Deheri, G. M. An alternative proof of basis theorem. 92j:46007 

Jain, Pawan Kumar (with Jarrah, A. M.; Sinha, D. P.) Minimal and w-linearly independent 
sequences in locally convex spaces. 924:46013 

Jarrah, A. M. see Jain, Pawan Kumar; et al., 92d:46013 

Kakol, Jerzy Remarks and examples concerning the weak basis theorem. 924:46014 

Kalton, N. J. (with Leranoz, C.; Wojtaszczyk, P.) Uniqueness of unconditional bases in 
quasi-Banach spaces with applications to Hardy spaces. 92f:46004 

Kondakov, V. P. Orthogonalization of bases in some classes of nuclear spaces. (Russian) 
92b:46011 

Korobeinik, Yu. F. A criterion for the basis property in F-spaces. Applications to interpola- 
tion problems. (Russian) 92k:46014 

Krone, J. On Pelczynski’s problem. 92:46006 

Leranoz, C. see Kalton, N. J.; et al., 92f:46004 

Sinha, D. P. see Jain, Pawan Kumar; et al., 92d:46013 

Wojtaszczyk, P. see Kalton, N. J.; et al., 92f:46004 


Items with secondary classifications in 46A35 


Castillo, Jestis M. F. On the structure of 6-spaces. 92g:46002 

Defant, Andreas (with Moraes, Luiza A.) On unconditional bases in spaces of holomorphic 
functions in infinite dimensions. 92¢:46045 

Filippov, V. I. Subsystems of the Faber-Schauder system in function spaces. (Russian) 
92j:46051 

Husain, Taqdir * Orthogonal Schauder bases. 92h:46071 

Kocatepe, Mefharet A note on vanishing of the functor Ext! for Kéthe spaces. 92f:46006 

Korobeinik, Yu. F. (with Mikhailov, A. B.) Representing systems in Cartesian products. 
(Russian) 92m:47042 

Medeiros, Lucia Regina Rego Absolute basis in the space of holomorphic mappings. 
92m:46067 

Melikhov, S. N. Nontrivial decompositions of zero and representative subspaces. (Russian) 
92d:47032 

Metafune, Giorgio Quojections and finite-dimensional decompositions. 92k:46005 

Mikhailov, A. B. see Korobeinik, Yu. F., 92m:47042 

Montes, Celestino Cesaro summability and generalized bases. (Spanish. English summary) 
(see 92m:00049) 

Moraes, Luiza A. see Defant, Andreas, 92c:46045 

Snyder, A. K. (with Stoudt, Gary S.) Basis in Banach space, strictly cosingular maps, and 
the Wilansky property. 92m:46023 

Stoudt, Gary S. see Snyder, A. K., 92m:46023 


46A40 Ordered topological linear spaces, vector lattices 
[see also 06F20, 46B40, 46B42] 


Abramovich, Yuri A. (with Lipecki, Zbigniew) On lattices and algebras of simple functions. 
92a:46007 

Basile, Achille (with Traynor, Tim) Monotonely Cauchy locally-solid topologies. 92j:46008 

Berdikulov, M. A. Spaces with order unit that are homogeneous of type I2. (Russian. Uzbek 
summary) 924:46015 

Bernau, S. J. (with Huijsmans, C. B.; de Pagter, Ben) Sums of lattice homomorphisms. 
92h:46009 

Conradie, Jurie Duality results for order precompact sets in locally solid Riesz spaces. 
92i:46008 

Filter, Wolfgang Hypercomplete Riesz spaces. 92¢:46006 

— Riesz spaces of step functions. 92h:46010 

Huijsmans, C. B. see Bernau, S. J.; et al., 92h:46009 

Karabanov, A. P. Properties of linear lattices with abstract convergence. (Russian) (see 
92g:47002) 

Koldunov, A. V. Generalized Dedekind completion of normed vector lattices. (Russian) (see 
92g:47001) 

Lipecki, Zbigniew see Abramovich, Yuri A., 92a:46007 

Macula, Anthony J. Free a-extensions of an Archimedean vector lattice and their topologi- 
cal duals. 92j:46009 

Maczytiski, Maciej J. Orthomodularity in partially ordered vector spaces. (Russian 
summary) 92g:46007 

Németh, A. B. A summation criterion for normal cones in Fréchet spaces. 92j:46010 

Ohno, Takeshi Weak compactness in the classes of strengthened o-order continuous linear 
functionals of Riesz spaces. 92m:46010 

de Pagter, Ben see Bernau, S. J.; et al., 92h:46009 

Pavlakos, Panaiotis K. Integral representation theorems in partially ordered vector spaces. 
92j:46011 

Radenovi¢, Stojan Linear topologies on weakly Riesz spaces. (Serbo-Croatian summary) 
92d:46016 

Thierfelder, Jorg Separation theorems for sets in product spaces and equivalent assertions. 
92m:46011 

Traynor, Tim see Basile, Achille, 92j:46008 

Veksler, A.I. The integral representability of extended functionals on vector lattices and 
cones. 924:46017 





715 1992 


— Embedding of lattice cones in vector lattices. (Russian) 92j:46012 
Wu, Hueytzen J. A Stone approximation theorem for TM-partition spaces. 92¢:46011 


Items with secondary classifications in 46A40 

Ball, Richard N. (with Hager, Anthony W.; Kizanis, Ann) Epimorphic adjunction of a weak 
order unit to an Archimedean lattice-ordered group. 92m:06031 

Buskes, Gerard (with van Rooij, A.C. M.) Sur l’espace de Riesz enveloppant. (English 
summary) [The enveloping Riesz space] 92i:06029 

Coimbra, Elvira * A generalization of the Hahn-Banach theorem. 924:46010 

Danet, Rodica-Mihaela A result about the existence of a positive linear operator. 92e:47063 

— Sufficient conditions in order that a space of linear operators on an ordered vector space 
has an infinite dimension. II. 92a:47050 

Filter, Wolfgang Hellinger-type integrals in Riesz spaces. 92g:46051 

Gierz, Gerhard (with Shekhtman, Boris) On Archimedean ordered vector spaces and a 
characterization of simplices. 92m:46017 

Gutman, A. E. An example of a sequentially r-continuous but not majorized operator that 
preserves disjunction. (Russian) 92j:47065 

Hager, Anthony W. see Ball, Richard N.; et al., 92m:06031 

Kizanis, Ann see Ball, Richard N.; et al., 92m:06031 

Kusraev, A. G. (with Kutateladze, S. S.) * Hecrannaprusie MeTombi anamusa. (Russian) 
[Nonstandard methods of analysis] 92c:03074 

Kutateladze, S.S. see Kusraev, A. G., 92c:03074 

Nagel, Rainer Order in pure and applied functional analysis. 92m:47071 

Nikodem, Kazimierz On the support of midconvex operators. 92g:26016 

Nowak, Marian On the order structure of Orlicz lattices. (Russian summary) 92d:46020 

Pap, Endre Distance preserving maps on abelian lattice ordered groups. (Serbo-Croatian 
summary) 92m:06032 

Polonskii, Yu. A. General form of the Hahn-Banach-Kantorovich theorem. (Russian) 
92c:46006 

van Rooij, A.C. M. see Buskes, Gerard, 92i:06029 

Shekhtman, Boris see Gierz, Gerhard, 92m:46017 

Tikhonov, O. E. Spectral theory for base-norm spaces with a trace. 92i:47041 

Ulymzhiev, M. D. On the existence of the structure of a vector lattice in tensor products of 
Banach lattices. (Russian. English summary) 924:46179 

Zakharov, Valerii Konstantinovich Alexandrovian cover and Sierpinskian extension. 
92e:46109 

— Classical extensions of a vector lattice of continuous functions. (Russian) 92a:46027 


46A45 Sequence spaces (including Kéthe sequence spaces) 
[see also 46B45] 


Alegre Gil, Carmen A characterization of quasinormability in vector-valued Kéthe-Lorentz 
echelon spaces. (Spanish) (see 92g:00024) 

Aytuna, A. (with Krone, J.; Terzioglu, T.) On complemented subspaces of certain nuclear 
K6the spaces. 92¢:46014 

Beekmann, Wolfgang (with Chang, Shao-Chien) Sums of FK-spaces. 92b:46012 

Buntinas, Martin (with Tanovié-Miller, Naza) Strong boundedness and strong convergence 
in sequence spaces. 92m:46012 

Cakar, O. see Colak, R., 922:46008 

Chang, Shao-Chien see Beekmann, Wolfgang, 92b:46012 

Colak, R. (with Cakar,O.) Banach limits and related matrix transformations. 92a:46008 

Denker, Manfred (with Hudzik, Henryk) Uniformly non-/‘') Musielak-Orlicz sequence 
spaces. 92m:46013 

Diaz Alcaide, Juan Carlos A structure theorem for separable Kéthe echelon spaces. 
(Spanish) (see 92g:00024) 

— A structure theorem for echelon Kéthe spaces. 92¢:46012 

— (with Mifiarro, Maria A.) On total bounded sets in Kéthe echelon spaces. 92f:46005 

Florencio, Miguel (with Saez Agull6, Carmen) Duals and barrelledness of some vector 
sequence spaces. (Spanish) (see 92g:00024) 

Hernandez Rodriguez, Francisco L. On modular sequence spaces and and their galbs. (see 


92g:00024) 

Hudzik, Henryk (with Ye, Yi Ning) Support functionals and smoothness in Musielak- 
Orlicz sequence spaces endowed with the Luxemburg norm. 92g:46008 

— see also Denker, Manfred, 92m:46013 

Jordan Lluch, Cristina A note on Kéthe echelon spaces of vector-valued functions. 
(Spanish) (see 92g:00024) 

Kocatepe, Mefharet A note on vanishing of the functor Ext' for Kéthe spaces. 92£:46006 

Krone, J. see Aytuna, A.; et al., 92e:46014 

Li, Rong La (with Swartz, Charles) K-convergence and the Orlicz-Pettis theorem. 
92j:46013 

Liu, Yu Qiang The second duals of nonabsolute type sequence spaces. 92k:46015 

Maddox, I. J. Solidity in sequence spaces. 92m:46014 

Milovidov, S. P. (with Povolotskii, A. I.) Dual spaces of conditional Kéthe spaces of double 
numerical sequences. (Russian) 92m:46015 

Miiiarro, Maria A. see Diaz Alcaide, Juan Carlos, 92f:46005 

Montes, Celestino Characterization of the compact sets in some spaces of sequences. 
(Spanish. English summary) (see 92b:00044) 

— Cesaro summability and generalized bases. (Spanish. English summary) (see 92m:00049) 

Nanda, Sudarsan Banach limits and almost convergence. 92c:46008 

Peirats, Vicente Copies of /? in modular sequence spaces. (Spanish) (see 92g:00024) 

— Copies of /? in modular sequence spaces. (Spanish) (see 92g:00024) 

— (with Ruiz, César) On /?-copies in Musielak-Orlicz sequence spaces. 92i:46009 

Povolotskii, A. I. see Milovidov, S. P., 92m:46015 

Ruiz, César see Peirats, Vicente, 92i:46009 

Sdez Agullé, Carmen see Florencio, Miguel, (92g:00024) 

Savas, Ekrem Almost convergence and almost summability. 92b:46013 

— A note on some sequence spaces. (Turkish summary) 92c:46009 

Danuta Classes and spaces of Ul’yanov type. II. Topological properties of 

spaces g(1). 92j:46014 


46A Topological linear spaces and related structures 


Sun, Hui Ying see Wu, Cong Xin; et al., 92h:46012 

Swartz, Charles see Li, Rong Lu, 92j:46013 

Tanovi¢-Miller, Naza see Buntinas, Martin, 92m:46012 

Terzioglu, T. Some invariants of Fréchet spaces and imbeddings of smooth sequence spaces. 
92¢:46013 

— see also Aytuna, A.; et al., 92e:46014 

Waszak, Aleksander Approximation problems in modular spaces of double sequences. 
92j:46015 

— On some modular spaces of double sequences. I. 92h:46011 

Wista, Marek Bounded sets and galb conditions in Musielak-Orlicz spaces of vector valued 
sequences. 92¢:46015 

— Extreme points and stable unit balls in Orlicz sequence spaces. 924:46018 

Wu, Cong Xin (with Sun, Hui Ying) Norm calculation and complex convexity of the 
Musielak-Orlicz sequence space. 92h:46012 

Ye, Yi Ning see Hudzik, Henryk, 92g:46008 

Zeng, Ya Shi Duals of nonabsolute vector-valued sequence spaces. (Chinese. English 
summary) 92m:46016 


Items with secondary classifications in 46A45 


Basar, Feyzi Certain matrix sequences on /(p). (Turkish summary) 92b:40004 

Bierstedt, Klaus-D. (with Bonet, José) Completeness of the (LB)-spaces YC(X). 
92d:46062 

Bonet, José (with Diaz Alcaide, Juan Carlos) The problem of topologies of Grothendieck 
and the class of Fréchet T-spaces. 92j:46002 

— see also Bierstedt, Klaus-D., 92d:46062 

DeFranza, J. (with Zeller, K.) Matrix summability of unbounded sequences. 92h:40002 

Diaz Alcaide, Juan Carlos see Bonet, José, 92j:46002 

Doman, Malgorzata On Musielak-Orlicz sequence spaces of Fourier coefficients of 
uniformly almost periodic functions. 92c:42003 

Egger, A. (with Huotari, Robert) Pélya properties in sequence spaces. 92j:41043 

Huotari, Robert see Egger, A., 92j:41043 

Kalton, N. J. Minimal and strongly minimal Orlicz sequence spaces. 92m:46031 

Katsaras, A. K. Non-Archimedean Kéthe sequence spaces. (Italian summary) 92k:46125 

Khan, Mushir Ahmad Matrix transformations of sequences of almost bounded variation. 
(Serbo-Croatian summary) 92j:40004 

— Matrix transformations between some generalized sequence spaces. 92k:46009 

Kunth, P. (with Maxsein, Thomas) The essential supremum for arithmetical almost-even 
functions. 92i:11109 

Maxsein, Thomas see Kunth, P., 92i:11109 

Mena-Jurado, Juan Francisco (with Navarro Pascual, Juan Carlos) On the A-property and 
spaces of convergent sequences. 

Metafune, Giorgio (with Moscatelli, Vincenzo Bruno) On the space /?* =(),.., /*. 
92i:46005 

Moscatelli, Vincenzo Bruno see Metafune, Giorgio, 92i1:46005 

Musielak, Julian On generalized Orlicz sequence spaces of Fourier coefficients for 
trigonometric gap series. I. 92h:42008 

Natarajan, P. N. On the core of a sequence over valued fields. 92e:46149 

Navarro Pascual, Juan Carlos see Mena-Jurado, Juan Francisco 

Oja, Eve On M-ideals of compact operators and Lorentz sequence spaces. (Russian and 
Estonian summaries) 92k:47083 

(Onal, Siileyman) see Vogt, Dietmar, 92j:46003 

Ozgelik, S. see Savas, Ekrem, 92i:40010 

Pap, Endre The space of the generalized Dirichlet series of several complex variables on a 
polydisc. (Serbo-Croatian summary) 92d:32006 

— On the generalized Dirichlet series of several complex variables. 92a:32002 

Pehlivan, Serpil A class of matrix transformation. 92k:40004 

Ralbovsky, Pavol On the sequences of bounded variation. (Russian and Slovak summaries) 
92c:40003 

Savas, Ekrem (with Ozqelik, S.) Fg-summability in certain linear topological spaces. 
92i:40010 

— On strong almost A-summability with respect to a modulus and statistical convergence. 
92k:40007 

Scheve, Manfred Isomorphy classes of spaces of holomorphic functions on open polydiscs in 
dual power series spaces. 92j:46064 

Solak, Ihsan Strongly-conservative matrix sequences. (Turkish summary) 92a:40002 

Stikharnyi, A. P. The denseness of finitely supported sequences in a weighted space. 
(Russian. Kazakh summary) 92¢:46070 

(Terzioglu, T.) see Vogt, Dietmar, 92j:46003 

Vogt, Dietmar Remarks on a paper of S. Onal and T. Terzioglu: “Unbounded linear 
operators and nuclear Kéthe quotients” [Arch. Math. (Basel) 54 (1990), no. 6, 576-581; 
MR 91h:46006]. (Turkish summary) 92j:46003 

Wiad, Katarzyna The Wiener theorem for Dirichlet’s multiplication. 92h:46079 

Zeller, K. see DeFranza, J., 92h:40002 


46A50 Compactness in topological linear spaces; angelic spaces, 
etc. 


Kremp, Stefan Ein kurzer Beweis des Angelic-Satzes fiir stetige Funktionen auf web- 
kompakten Raumen. [A short proof of the angelic theorem for continuous functions on 
web-compact spaces] 92j:46016 

Paul, Pedro J. Eberlein theorem revisited. (see 92b:00044) 

Zhang, Xi Tang A theorem on the structure of Fréchet spaces. (Chinese. English summary) 
92i:46010 


Items with secondary classifications in 46A50 

Borrey, S. On the Krein-Mil/man theorem in vector spaces over a non-Archimedean valued 
field K. 922:46094 

Cascales, B. (with Orihuela, J.) Countably determined locally convex spaces. 92¢e:46004 

Conradie, Jurie (with Swart, Johan) A general duality result for precompact sets. 
92g:46004 





46A50 


Deville, Robert (with Godefroy, Gilles) Applications des longues suites de projections. 
[Applications of long sequences of projections] 92g:46015 

Girardi, Maria Weak vs. norm compactness in L;: the Bocce criterion. 924:46075 

Godefroy, Gilles see Deville, Robert, 92g:46015 

Montes, Celestino Characterization of the compact sets in some spaces of sequences. 
(Spanish. English summary) (see 92b:00044) 

Orihuela, J. see Cascales, B., 92e:46004 

Swart, Johan see Conradie, Jurie, 92g:46004 


46A55 Convex sets in topological linear spaces; Choquet theory 
[see also 52A07] 


Dieckmann, Gregor A characterization of the Korovkin closure with respect to functionals. 
92h:46013 

Gierz, Gerhard (with Shekhtman, Boris) On Archimedean ordered vector spaces and a 
characterization of simplices. 92m:46017 

Kounchev, Ognyan Iv. An application of the principle of topological induction to the 
extreme points theorem. 92c:46010 

Polonskii, Yu. A. A noncompact version of the Choquet-Bishop-de Leeuw theorem. 
(Russian) 92j:46017 

Schaefer, Helmut H. On convex hulls. 92m:46018 

Shekhtman, Boris see Gierz, Gerhard, 92m:46017 


Items with secondary classifications in 46A55 

Ayupov, Sh. A. (with lochum, Bruno; Yadgorov, N. Dzh.) Geometry of state spaces of 
finite-dimensional Jordan algebras. (Russian. Uzbek summary) 92g:46064 

Borrey, S. On the Krein-Mil'man theorem in vector spaces over a non-Archimedean valued 
field K. 92a:46094 

Tochum, Bruno see Ayupov, Sh. A.; et al., 92¢:46064 

Margolis, Beatriz Compact, convex sets in R” and a new Banach lattice. I. Theory. 
92d:46055a 

— Compact, convex sets in R" and a new Banach lattice. II. Application: an approximation 
problem. 924:46055b 

Oates, David A sequentially convex hull. 924:46068 

Rasa, I. On some systems of linear inequalities. III. 92i:46011 

Winkler, Gerhard Simplexes of measures with closed extreme boundary and presentability 
of Hausdorff spaces. 92¢:46025 

Yadgorov, N. Dzh. see Ayupov, Sh. A.; et al., 92¢:46064 


46A70 Saks spaces and their duals (strict topologies, mixed 
topologies, two-norm spaces, co-Saks spaces, etc.) 


Alexiewicz, A. (with Szmuksta-Zawadzka, M.) Two-norm spaces and summability. 
92m:46019 

Prieto Yerro, Angeles The strict topology in By,(U) as a mixed topology. (Spanish) (see 
92g:00024) 

Szmuksta-Zawadzka, M. see Alexiewicz, A., 92m:46019 


Items with secondary classifications in 46A70 


Balsam, Zofia A note on the group of invertible elements of a two-norm algebra. 92¢:46102 

Gu, Dangsheng Bergman projections and duality in weighted mixed-norm spaces of analytic 
functions. 92m:46034 

Musielak, Julian On the continuity of some embeddings with respect to two-modular 
convergence. 92b:42039 

Nowak, Marian Mixed topology on normed function spaces. I, II. (Russian summary) 
92¢:46058 


46A80 Modular spaces 


Hamhalter, Jan On modular spaces. (Russian summary) 92b:46014 

Kozlowska, Grazyna Some remarks on modular approximation by a filtered family of linear 
operators. 924:46019 

Nowak, Marian On the order structure of Orlicz lattices. (Russian summary) 924:46020 

Suwalski, Cezary Some remarks on linear functionals in generalized modular spaces. 
92j:46018 

Items with secondary classifications in 46A80 

Alghoussein, Ahmad On the existence of modular bounded linear functionals defined on 
some non-Archimedean modular spaces. 92j:46138 

Grzybowski, Jerzy A note on (s, t)-convex modulars. 92g:46095 

Hernandez Rodriguez, Francisco L. On modular sequence spaces and and their galbs. (see 
92g:00024) 

Kasperski, Andrzej The modular spaces of multifunctions. II. 92¢:46057 

Kilmer, Shelby J. (with Kozlowski, Wojciech M.; Lewicki, Grzegorz) Best approximants in 
modular function spaces. 92c:46030 

Kozlowski, Wojciech M. (with Lewicki, Grzegorz) On polynomial approximation in 
modular function spaces. 92¢:46033 

— see also Kilmer, Shelby J.; et al., 92c:46030 

Lewicki, Grzegorz On a theorem of S. N. Bernstein and its application in modular function 
spaces. 92¢:46032 

— see also Kilmer, Shelby J.; et al., 92c:46030 and Kozlowski, Wojciech M., 92c:46033 

Mohapl, Jaroslav On modular set functions and measures. 92g:28001 

Musielak, Julian On the continuity of some embeddings with respect to two-modular 
convergence. 92b:42039 

Peirats, Vicente Copies of /? in modular sequence spaces. (Spanish) (see 92g:00024) 

— Copies of /? in modular sequence spaces. (Spanish) (see 92g:00024) 

— (with Ruiz, César) On /?-copies in Musielak-Orlicz sequence spaces. 92i:46009 

Prus-Wisniowski, Franciszek Some remarks on functions of bounded g-variation. 
92g:26012 

Ruiz, César see Peirats, Vicente, 92i:46009 


FUNCTIONAL ANALYSIS 


1992 716 


Waszak, Aleksander Approximation problems in modular spaces of double sequences. 
92j:46015 
— On some modular spaces of double sequences. I. 92h:46011 


46A99 None of the above, but in this section 


Bosch, Carlos (with Kucera, Jan; McKennon, Kelly) Note on quasi-bounded sets. 
92d:46021 

Fan, Da Boundedness for r-convex functionals. 92g:46009 

Gordon, Y. (with Lewis, D. R.) Dvoretzky’s theorem for quasi-normed spaces. 92m:46020 

Kominek, Zygfryd Convex functions and epigraphs. (Serbo-Croatian summary) 92a:46009 

— On (a, b)-convex functions. 92k:46016 

Kucera, Jan see Bosch, Carlos; et al., 92d:46021 

Lewis, D. R. see Gordon, Y., 92m:46020 

McKennon, Kelly see Bosch, Carlos; et al., 92d:46021 

Raga, I. On some systems of linear inequalities. III. 92i:46011 

Xuan, Heng Nong A general form of the uniform boundedness principle. (Chinese) 
92i:46012 


Items with secondary classifications in 46A99 

Atkin, C. J. Boundedness in uniform spaces, topological groups, and homogeneous spaces. 
92j:22006 

Ball, Keith Isometric embedding in /,-spaces. 92:52014 

Frani¢é, Ivan A note on strictly convex linear 2-normed spaces. 92k:46028 

Gahler, Siegfried (with Matel-Kaminska, Donata) Remarks on generalized metric discrete 
convergence spaces. 92a:65191 

Gémez i Urgellés, Joan Generalization of the convergence of the Moreau-Yosida regulariza- 
tion. (Spanish. English summary) (see 92m:00049) 

Lin, Chia-Shiang On strictly convex and strictly 2-convex 2-normed spaces. 92k:46027 

Madrecki, Andrzej Some negative results on existence of Sazonov topology in /-adic Fréchet 
spaces. 92:46097 

Matel-Kaminska, Donata see Gahler, Siegfried, 92a:65191 

Nakanishi, Shizu A Banach-Steinhaus theorem on the space of Denjoy integrable functions. 
92g:46033 

Pumpliin, Dieter (with R6hri, Helmut) Congruence relations on totally convex spaces. 
924:46181 

Ribarska, N. K. A note on fragmentability of some topological spaces. 92d:54042 

Rohrl, Helmut see Pumpliin, Dieter, 92d:46181 

Sharp, Bernice The differentiability of convex functions on topological linear spaces. 
92d:46111 

Stein, J. D., Jr. Some observations on local uniform boundedness principles. 92i:54016 

Thierfelder, Jorg Separation theorems for sets in product spaces and equivalent assertions. 
92m:46011 

Todd, Aaron R. Covers by linear subspaces. 92a:15002 

Zeng, Huan Liang A note on fuzzy topological linear spaces. (Chinese. English summary) 
92b:46127 


46Bxx Normed linear spaces and Banach spaces; Banach 
lattices {For function spaces, see 46Exx.} 

Casazza, P.G. (with Kalton, N. J.) Notes on approximation properties in separable Banach 
spaces. 92d:46022 

Godefroy, Gilles Sur une question de V. I. Bogachev, B. Kirchheim et W. Schachermayer. 
[On a question of V. I. Bogachev, B. Kirchheim and W. Schachermayer] 92¢:46016 

Kalton, N. J. see Casazza, P. G., 92d:46022 

Saab, Elias (with Saab, Paulette) On stability problems of some properties in Banach 
spaces. 92m:46021 

Saab, Paulette see Saab, Elias, 92m:46021 


Items with secondary classifications in 46Bxx 


Raynaud, Yves Some remarks on ultrapowers and superproperties of the sum and interpola- 
tion spaces of Banach spaces. 92k:46044 


46B03 Isomorphic theory (including renorming) of Banach spaces 


Yost, David Thomas If every doughnut is a teacup, then every Banach space is a Hilbert 
space. 92g:46010 


Items with secondary classifications in 46B03 

Fonf, V. P. Three characterizations of polyhedral Banach spaces. (Russian. Ukrainian 
summary) 92¢:46028 

Giles, J. R. see Kenderov, P. S., 92j:46026 

Godefroy, Gilles La structure des espaces représentables. [The structure of representable 
spaces] 92¢:46033 

Kenderov, P.S. (with Giles, J. R.) On the structure of Banach spaces with Mazur’s 
intersection property. 92j:46026 

Rauch, Patrick Pseudocomplé ion dans les espaces de Banach. (English summary) 
[Pseudocompl ion in Banach spaces] 92k:46017 








46B04 Isometric theory of Banach spaces 


Behrends, Ehrhard Points of symmetry of convex sets in the two-dimensional complex 
space—a counterexample to D. Yost’s problem. 92f:46007 

Desbiens, Jocelyn Sur le biais d’un espace de Banach. (English summary) [On the 
asymmetry of a Banach space] 924:46023 

— Constante rectangle et biais d’un espace de Banach. (English summary) [Rectangular 
constant and asymmetry of a Banach space] 92d:46024 

Hemasinha, Rohan (with Weaver, James R.) What are the linear isometries of /?? 
92j:46019 

















717 1992 





Sandru, I. see Sandru, O., 92d:46025 

Sandru, O. (with Sandru, I.) Local conditions for a Banach space to be A-isometric to a 
Hilbert space. (Romanian. English summary) 924:46025 

Skof, Fulvia On d-isometries in normed spaces. (Italian. English summary) 92j:46020 

Weaver, James R. see Hemasinha, Rohan, 92j:46019 


Items with secondary classifications in 46B04 


Cabello Pifiar, Juan Carlos (with Mena-Jurado, Juan Francisco; Paya-Albert, Rafael; 
Rodriguez-Palacios, Angel) Banach spaces which are absolute subspaces in their biduals. 
92¢:46023 

Godefroy, Gilles Une remarque sur les espaces Hahn-Banach lisses. [A remark on smooth 
Hahn-Banach spaces] 92¢:46032 

Mena-Jurado, Juan Francisco (with Pay4-Albert, Rafael; Rodriguez-Palacios, Angel; Yost, 
David Thomas) Absolutely proximinal subspaces of Banach spaces. 92e:46037 

— see also Cabello Pinar, Juan Carlos; et al., 92e:46023 

Pay4-Albert, Rafael (with Rodriguez-Palacios, Angel) Banach spaces which are semi-L- 
summands in their biduals. 92e:46024 

— see also Cabello Pinar, Juan Carlos; et al., 92e:46023 and Mena-Jurado, Juan Francisco; et 
al., 92¢:46037 

Rodriguez-Palacios, Angel see Cabello Piiar, Juan Carlos; et al., 92e:46023; Paya-Albert, 
Rafael, 92e:46024 and Mena-Jurado, Juan Francisco; et al., 92¢:46037 

Werner, Dirk De nouveaux M-idéaux des espaces d’opérateurs compacts. [New M-ideals of 
compact operator spaces] 92¢:46042 

Yost, David Thomas see Mena-Jurado, Juan Francisco; et al., 92e:46037 


46B07 Local theory of Banach spaces 


Johnson, William B. (with Schechtman, Gideon) On the distance of subspaces of [} to ie: 
92¢:46017 

Konig, Hermann On the complex Grothendieck constant in the n-dimensional case. 
92g:46011 

Milman, Vitali D. A note on a low M*-estimate. 92¢:46018 

Rauch, Patrick Pseudocomplé ion dans les espaces de Banach. (English summary) 
[Pseudocompl ion in Banach spaces] 92k:46017 

Schechtman, Gideon see Johnson, William B., 92e:46017 


Items with secondary classifications in 46B07 

Behrends, Ehrhard On the principle of local reflexivity. 92j:46021 

Bourgain, Jean On the distribution of polynomials on high-dimensional convex sets. 
92j:52007 

Carl, Bernd (with Stephani, Irmtraud) * Entropy, compactness and the approximation of 
operators. 92¢e:47002 

Defant, Andreas (with Floret, Klaus; Taskinen, Jari) On the injective tensorproduct of 
(DF)-spaces. 92h:46107 

Floret, Klaus see Defant, Andreas; et al., 92h:46107 

Sandru, I. see Sandru, O., 924:46025 

Sandru, O. (with Sandru, I.) Local conditions for a Banach space to be A-isometric to a 
Hilbert space. (Romanian. English summary) 924:46025 

Schechtman, Gideon (with Schmuckenschlager, M.) Another remark on the volume of the 
intersection of two L} balls. 92j:52008 

Schmuckenschlager, M. see Schechtman, Gideon, 92j:52008 

Stephani, Irmtraud see Carl, Bernd, 92e:47002 

Taskinen, Jari see Defant, Andreas; et al., 92h:46107 








46B09 Probabilistic methods in Banach space theory 
[see also 60Bxx] 


Liu, Pei De The g-inequalities for B-valued regular martingales and geometrical properties 
of Banach spaces. 92a:46010 


Items with secondary classifications in 46B09 


Dang Hing Thang Remarks on Banach spaces of s-cotype p. 92e:46026 

Dettweiler, Egbert Representation of Banach space valued martingales as stochastic 
integrals. 92c:60006 

Hemasinha, Rohan Some results on the span of families of Banach valued independent, 
random variables. 92c:60008 

Johnson, William B. (with Schechtman, Gideon) Remarks on Talagrand’s deviation 
inequality for Rademacher functions. 92m:60017 

Liu, Pei De Martingaie spaces and geometrical properties of Banach spaces. 92j:60056 

Luschgy, Harald Asymptotic almost equidistribution on a Banach space. 92h:60008 

Merkle, Milan J. On positive definite functions defined on vector spaces. 92g:46058 

Milman, Vitali D. A note on alow M*-estimate. 92e:46018 

Raynaud De Fitte, Paul Deux lois fortes des grands nombres pour des ensembles aléatoires. 
[Two strong laws of large numbers for random sets] 

Schechtman, Gideon see Johnson, William B., 92m:60017 

Talagrand, Michel Type, infratype and the Elton-Pajor theorem. 92m:46028 


46B10 Duality and reflexivity [see also 46A25] 


Behrends, Ehrhard On the principle of local reflexivity. 92j:46021 

Cabello Pinar, Juan Carlos Banach spaces that are semi-L-summands of their biduals. 
(Spanish) (see 92g:00024) 

Cobzags, §. On the Schauder’s theorem on the compactness of the conjugate mapping. (see 
92m:00032) 

Di, Xiao Jun The (Lp) property of Banach spaces. (Chinese. English summary) 92a:46011 

Dragomir, Sever Silvestru A characterization of reflexivity and strict convexity. (Serbo- 
Croatian summary) 92i:46013 

Freire, Nuno C. On reflexivity and quotient spaces. (Portuguese. English summary) (see 
92m:00049) 

Grzesiak, Maciej A remark on some space of R-linear operators. 92¢:46019 


46B Normed linear spaces and Banach spaces; Banach lattices 







Items with secondary classifications in 46B10 


Chu, Cho-Ho von Neumann algebras which are second dual spaces. 92b:46092 

Frani¢, Ivan A note on the k-strictly convex normed linear spaces. (Serbo-Croatian 
summary) 92i:46017 

Giles, J. R. (with Kutzarova, Denka N.) Characterisation of drop and weak drop properties 
for closed bounded convex sets. 92d:46036 

Godefroy, Gilles Propriétés métriques des fonctions affines de premiére classe. [Metric 
properties of affine functions of first class] 92e:46031 

Kutzarova, Denka N. see Giles, J. R., 92d:46036 

Li, Daniel M-idéaux et analyse harmonique. [M-ideals and harmonic analysis] 92¢:46036 

Na, Qi Yuan On fully convex and locally fully convex Banach space. 92c:46018 

Noll, Dominikus A concrete duality approach to compactness and strict singularity of 
inclusion operators. 92a:46022 

Oja, Eve * Ilponomxenne byHKuMoHasos HM CTpyKTypa NpocTpaHCTBa HeNpepbIBHBIX 
JMHeHHBIX OnepaTopos. (Russian) [Extension of functionals and the structure of the space 
of continuous linear operators] 92g:46019 

Schikhof, Wim H. The p-adic bounded weak topologies. 92j:46140 

Zheng, Xi Yin Weakly compact linear operators into L(u). 92¢:47022 


46B15 Summability and bases [see also 46A35] 


Argyros, S. (with Lambrou, M.; Longstaff, W. E.) Atomic Boolean subspace lattices and 
applications to the theory of bases. 92m:46022 

Fonf, V. P. Topological properties of subsets, and linear-topological properties of Banach 
spaces. (Russian) 92c:46011 

— On the extension of operational bases in Banach spaces. (Russian) 92d:46026 

Garcia Castellén, Felicisimo (with Indurain Eraso, Esteban) Regularly closed sequences. 
(Spanish. English summary) (see 92g:00024) 

— (with Indurdin Eraso, Esteban; Plans, Antonio) Bases studied via uniform minimal 
systems. (Spanish. English summary) (see 92b:00044) 

— Compacité et position relative dans les espaces de Banach. (English summary) [Compact- 
ness and relative position in Banach spaces] 924:46027 

Godun, B. V. Auerbach bases in Banach spaces that are isomorphic to /,[0, 1]. (Russian) 
92f:46008 

Gowers, W.T. Symmetric sequences in finite-dimensional normed spaces. 92f:46009 

Indurdin Eraso, Esteban Classification, through coordinates, of M-bases in separable 
Banach spaces. (see 92g:00024) 

— see also Garcia Castellén, Felicisimo; et al., (92b:00044) and (92g:00024) 

Jain, Pawan Kumar (with Sinha, D. P.) On MarkuSevié decompositions of Banach spaces. 
(Russian summary) 92e:46020 

— (with Sinha, D. P.) On strong MarkuSevit decompositions of Banach spaces. 92a:46012 

— (with Sinha, D. P.) A note on strong MarkuSevié decompositions of Banach spaces. 
92k:46018 

James, Robert C. Unconditional bases and the Radon-Nikodym property. 92¢:46021 

Kadets, M.I. (with Wozniakowski, Krzysztof) On series whose permutations have only two 
sums. (Russian summary) 92d:46028 

— see also Kadets, V. M., 924:46029 

Kadets, V.M. How many points can the range of sums of a series in a Banach space contain? 
(Russian) 92¢:46012 

— (with Kadets, M. I.) * Rearrangements of series in Banach spaces. 92d:46029 

— On the direct sum of normed spaces. (Russian) 924:46030 

Lambrou, M. see Argyros, S.; et al., 92m:46022 

Longstaff, W. E. see Argyros, S.; et al., 92m:46022 

Mankiewicz, Piotr (with Nielsen, N. J.) A superreflexive Banach space with a finite- 
dimensional decomposition so that no large subspace has a basis. 92a:46013 

(McFaden, Harold H.) see Kadets, V. M., 924:46029 

van Neerven, J. M. A. M. Reflexivity, the dual Radon-Nikodym property, and continuity of 
adjoint semigroups. 92k:46019 

Nielsen, N. J. see Mankiewicz, Piotr, 92a:46013 

Plans, Antonio On intersection properties in the geometry of an M-base. (Spanish) 
92¢e:46022 

— see also Garcia Castellén, Felicisimo; et al., (92b:00044) 

Rao, Geetha S. (with Swaminathan, M.) Best coapproximation and Schauder bases in 
Banach spaces. 92b:46015 

Read, C. J. When E and E[E] are isomorphic. 92h:46014 

Schiitt, I. Unconditional bases in Banach spaces of absolutely p-summing operators. 
924:46031 

Sinha, D. P. Strong M-decompositions in separable Banach spaces. 924:46032 

— see also Jain, Pawan Kumar, 92a:46012; 92¢:46020 and 92k:46018 

Snyder, A. K. (with Stoudt, Gary S.) Basis in Banach space, strictly cosingular maps, and 
the Wilansky property. 92m:46023 

Stoudt, Gary S. see Snyder, A. K., 92m:46023 

Swaminathan, M. see Rao, Geetha S., 92b:46015 

Tutaj, Edward A remark on unconditional basic sequences. (Russian summary) 92¢:46013 

Woiniakowski, Krzysztof see Kadets, M. 1., 92d:46028 

Zhao, Jun Feng Finite-dimensional perturbations of basis sequences and BHB extensions. 
(Chinese) 92d:46033 


Items with secondary classifications in 46B15 


Anantharaman, R. (with Diestel, J.) Sequences in the range of a vector measure. 92g:46049 

Bombal, Fernando (V*) sets in Bochner integrable functions spaces. 92j:46061 

Colojoara, Alexandra The Banach tensor algebra with involution associated to a Banach 
space with absolute basis. I. An absolute basis for tensor algebra of Banach space with 
absolute basis. (Romanian summary) 

Diestel, J. see Anantharaman, R., 92g:46049 

Filter, Wolfgang (with Labuda, Iwo) Essays on the Orlicz-Pettis theorem. I. The two 
theorems. 92¢e:46003 

Garcia Castellén, Felicisimo (with Plans, Antonio) Hyperplane geometry and the core of a 
sequence in a Banach space. (Spanish) (see 92g:00024) 

He, Sui The («) property in dual spaces. (Chinese summary) 92i:46019 





46B15 


Husain, Taqdir * Orthogonal Schauder bases. 92h:46071 

Khalil, Roshdi Orthogonality in Banach spaces. 924:46039 

Labuda, Iwo see Filter, Wolfgang, 92e:46003 

Plans, Antonio see Garcia Castellén, Felicisimo, (92g:00024) 

Valdivia, Manuel Topological direct sum decompositions of Banach spaces. 924:46047 

— Projective resolutions of the identity operator and Markushevich bases in some Banach 
spaces. (Spanish. English summary) 92m:46032 


46B20 Geometry ard structure of normed linear spaces 


Abraham, Paul Saeki’s improvement of the Vitali-Hahn-Saks-Nikodym theorem holds 
precisely for Banach spaces having cotype. 92k:46020 

Aizpuru Tomas, Antonio An extension of the theorem of Tietze and the A-property in 
C(K, X). (Spanish. English summary) (see 92b:00044) 

— The A-property, reflexivity and ([],, Xn)p (1 < p < 00). (Spanish. English summary) (see 
92b:00044) 

Alonso Romero, Javier (with Ullan de Celis, Antonio) A note on: “Modulus of convexity, 
characteristic of convexity and fixed point theorems” [Kodai Math. J. 10 (1987), no. 2, 
197-208: MR 88f:46040] by H. Ishihara and W. Takahashi. 92k:46021 

Arias, Alvaro (with Farmer, Jeff) Nests of subspaces in Banach space and their order types. 
92g:46012 

Arregui Casaus, José Luis A characterization of finite dimension in Banach spaces. 
(Spanish. English summary) 92m:46024 

Azimi, Parviz Separable Banach spaces with nonseparable dual. (see 92m:00055) 

Azoff, E. A. (with Shehada, Hasan A.) On separation by families of linear functionals. 
92g:46013 

Balaganskii, V.S. Weak openness of the metric projection. (Russian) 92f:46010 

Bana$, Jézef On drop property and nearly uniformly smooth Banach spaces. 92f:46011 

— Compactness conditions in the geometric theory of Banach spaces. 92b:46016 

Bandyopadhyaya, P. (with Roy, Ashoke K.) Some stability results for Banach spaces with 
the Mazur intersection property. 92f:46012 

Barbakadze, T. N. Some properties of E-regular functionals that are defined on a Banach 
space with a basis. (Russian. English and Georgian summaries) 92b:46017 

Baturov, D. P. Some properties of the weak topology of Banach spaces. (Russian) 
92d:46034 

Bayod, José Manuel (with Masa, M. Concepcién) Chebyshev coefficients for L'-preduals 
and for spaces with the extension property. 92b:46018 

Beer, Gerald A. (with Pai, Devidas) The Prox map. 924:46035 

— Mosco convergence and weak topologies for convex sets and functions. 92j:46022 

Bombal, Fernando On the properties (V) and (V*) of Pelczynski. (Spanish. English 
summary) (see 92b:00044) 

Bourgain, Jean (with Tzafriri, L.) Embedding 4 in subspaces of L, for p > 2. 92h:46015 

Burlando, Laura On subspaces of direct sums of infinite sequences of Banach spaces. 
(Italian summary) 92b:46019 

Cabello Piiiar, Juan Carlos Metric projection and inclusion of co and /,. (Spanish. English 
summary) (see 92b:00044) 

— (with Mena-Jurado, Juan Francisco; Paya-Albert, Rafael; Rodriguez-Palacios, Angel) 
Banach spaces which are absolute subspaces in their biduals. 92e:46023 

Calvert, Bruce (with Fitzpatrick, Simon) Characterising nonsmooth norms by nonexpansive 
projections. 92a:46014 

Casini, Emanuele Degree of convexity and product spaces. 92¢:46025 

Cembranos, Pilar Hereditarily Dunford-Pettis Banach spaces. (Spanish. English summary) 
(see 92b:00044) 

Chasco Ugarte, Ma. Jestis Some cases of relative position between affine manifolds in 
Banach spaces. (Spanish. English summary) (see 92g:00024) 

Chen, Lian Chang see Cheng, Li Xin; et al., 92c:46014 

Cheng, Li Xin (with Chen, Lian Chang; Wei, Wen Zhan) Eigenfunctions, and convexity 
moduli and smooth moduli of Banach spaces. (Chinese) 92c:46014 

Costé, Alain Sur le prédual B de l’espace arborescent JT de James. (English summary) [On 
the predual B of the James tree space] 92m:46025 

Dang Hing Thing Remarks on Banach spaces of s-cotype p. 92¢:46026 

Defant, Martin (with Junge, Marius) Type et cotype faibles des espaces L,(X). (English 
summary) [Weak type and cotype of L,(X) spaces] 92f:46013 

Deville, Robert Dualité entre normes anguleuses et grandes tranches. [Duality between 
rough norms and large slices] 92g:46014 

— (with Godefroy, Gilles) Applications des longues suites de projections. [Applications of 
long sequences of projections] 92g:46015 

— (with Godefroy, Gilles; Zizler, V. E.) The three space problem for smooth partitions of 
unity and C(K) spaces. 92i:46014 

Diaz Alcaide, Juan Carlos Noncontainment of /' in projective tensor products of Banach 
spaces. 92a:46015 

(Dickmeis, W.) see Zhou, Song Ping, 92a:46018 

Dragomir, Sever Silvestru Local representation of distance functional on smooth normed 
linear spaces. 92¢e:46027 

— On continuous sublinear functionals in reflexive Banach spaces and applications. (French 
summary) 92h:46016 

Drewnowski, Lech (with Emmanuele, Giovanni) On Banach spaces with the Gel’fand- 
Phillips property. II. 92a:46016 

Elumalai, S. (with Ravi, R.) Farthest points on suns. 92i:46015 

Emmanuele, Giovanni On the containment of co by spaces of compact operators. (French 
summary) 92j:46023 

— see also Drewnowski, Lech, 922:46016 

Fabian, Maridn Geometric properties of Banach spaces whose dual is weakly countably 
determined. 92g:46016 

— On a dual locally uniformly rotund norm on a dual Va8ak space. 92j:46024 

Farmer, Jeff see Arias, Alvaro, 92g:46012 

Figiel, T. (with Johnson, William B.; Schechtman, Gideon) Factorizations of natural 
embeddings of /} into L,. Il. 92k:46022 

Fitzpatrick, Simon see Calvert, Bruce, 922:46014 


FUNCTIONAL ANALYSIS 


1992 718 


Fleming, Richard J. (with Jamison, James E.) Banach spaces with a basic inequality 
property and the best compact approximation property. 92i:46016a 

— (with Jamison, James E.) M-ideals and a basic inequality in Banach spaces. 92i:46016b 

Fonf, V. P. Three characterizations of polyhedral Banach spaces. (Russian. Ukrainian 
summary) 92¢:46028 

Franchetti, Carlo The norm of the minimal projection onto hyperplanes in L?[0, 1] and the 
radial constant. (Italian summary) 92¢:46029 

Frani¢, Ivan A note on the k-strictly convex normed linear spaces. (Serbo-Croatian 
summary) 92i:46017 

Gao, Ji (with Lau, Ka-Sing) On two classes of Banach spaces with uniform normal 
structure. 92h:46017 

Garcia Castellén, Felicisimo (with Plans, Antonio) Hyperplane geometry and the core of a 
sequence in a Banach space. (Spanish) (see 92g:00024) 

Garcia Nogales, Agustin Examples of .7 -analyticity and other topological properties. 
(Spanish. English summary) (see 92b:00044) 

Ghoussoub, N. (with Maurey, B.; Schachermayer, Walter) Remarks about the interpolation 
of Radon-Nikodym operators. 92g:46017 

Giles, J. R. (with Kutzarova, Denka N.) Characterisation of drop and weak drop properties 
for closed bounded convex sets. 924:46036 

— see also Kenderov, P. S., 92j:46026 

Girardi, Maria Dentability, trees, and Dunford-Pettis operators on L;. 92¢:46030 

Godefroy, Gilles Propriétés métriques des fonctions affines de premiére classe. [Metric 
properties of affine functions of first class] 92¢:46031 

— Une remarque sur les espaces Hahn-Banach lisses. [A remark on smooth Hahn-Banach 
spaces] 92¢:46032 

— La structure des espaces représentables. [The structure of representable spaces] 
92e:46033 

— (with Lust-Piquard, Francoise) Some applications of geometry of Banach spaces to 
harmonic analysis. 92d:46037 

— see also Deville, Robert, 92g:46015 and 92i:46014 

Godun, B. V. (with Troyanski, S. L.) Norm-attaining operators, and the geometry of the 
unit sphere of a Banach space. (Russian) 924:46038 

— (with Lin, Bor-Luh; Troyanski, S. L.) On the strongly extreme points of convex bodies in 
separable Banach spaces. 92f:46014 

Goebel, Kazimierz (with Wosko, Jacek) Making a hole in the space. 92e:46034 

Grzaslewicz, Ryszard (with Younis, Rahman) Smooth points of some operator spaces. 
92i:46018 

Han, Rui Zhu The modulus of convexity and the equivalent conditions of uniformly 
nonsquare spaces. 92a:46017 

Haydon, Richard (with Odell, E.; Rosenthal, Haskell Paul) On certain classes of Baire-1 
functions with applications to Banach space theory. 92h:46018 

He, Hai Yan Some results on GB type spaces. (Chinese. English summary) 92¢:46015 

He, Sui The (@) property in dual spaces. (Chinese summary) 92i:46019 

(Ishihara, Hajime) see Alonso Romero, Javier, 92k:46021 

Ivanov, V. I. (with Pichugov, S. A.) Jung constants in /}-spaces. (Russian) 92c:46016 

Jamison, James E. see Fleming, Richard J., 92i:46016a and 92i:46016b 

Johnson, William B. see Figiel, T.; et al., 92k:46022 

Josefson, Bengt A Banach space containing nontrivial limited sets but no nontrivial 
bounding sets. 92g:46018 

Junge, Marius see Defant, Martin, 92f:46013 

Kamiriska, Anna (with Turett, Barry) Some remarks on moduli of rotundity in Banach 
spaces. (Russian summary) 92b:46020 

Kaufman, Robert P. Sequence spaces and analytic sets. 92j:46025 

Kenderov, P.S. (with Giles, J. R.) On the structure of Banach spaces with Mazur’s 
intersection property. 92j:46026 

Khalil, Roshdi Orthogonality in Banach spaces. 92d:46039 

Kirk, W. A. Nearest and farthest points of closed sets in hyperbolic spaces. 92m:46026 

Kochurov, A. S. Absolute widths and cowidths. (Russian) 924:46040 

Kutzarova, Denka N. (with Rolewicz, S.) On nearly uniformly convex sets. 92i:46020 

— see also Giles, J. R., 924:46036 

Lau, Ka-Sing see Gao, Ji, 92h:46017 

Lennard, Chris A new convexity property that implies a fixed point property for L. 
92j:46027 

LeSnjak, G. Extensions of the notion of extreme point. (Serbo-Croatian summary) 
92¢:46035 

Leung, Denny H. On Banach spaces with Mazur’s property. 92b:46021 

Li, Daniel M-idéaux et analyse harmonique. [M-ideals and harmonic analysis] 92¢:46036 

Li, Rong Lu (with Swartz, Charles) Equicontinuity and uniform boundedness. (Italian 
summary) 92j:46028 

Lim, Teck Cheong Pseudo-convergence in normed linear spaces. 92m:46027 

Lin, Bor-Luh see Godun, B. V.; et al., 92f:46014 

Lin, Pei-Kee Some remarks of drop property. 92i:46021 

Liu, Pei De 2-smoothness of Banach spaces and a special class of martingale transforms. 
(Chinese) 92d:46041 

Lohman, Robert H. (with Shura, Thaddeus J.) The lambda-property for generalised direct 
sums of normed spaces. 92¢:46017 

Lust-Piquard, Francoise see Godefroy, Gilles, 92d:46037 

Mankiewicz, Piotr (with Tomczak-Jaegermann, Nicole) Pathological properties and 
dichotomies for random quotients of finite-dimensional Banach spaces. 92h:46019 

Masa, M. Concepcién see Bayod, José Manuel, 92b:46018 

Mascioni, Vania On weak cotype and weak type in Banach spaces. 92i:46022 

— On the duality of the uniform approximation property in Banach spaces. 92d:46042 

Maurey, B. see Ghoussoub, N.; et al., 92g:46017 . 

Mena-Jurado, Juan Francisco (with Paya-Albert, Rafael; Rodriguez-Palacios, Angel; Yost, 
David Thomas) Absolutely proximinal subspaces of Banach spaces. 92¢:46037 

— see also Cabello Pinar, Juan Carlos; et al., 92e:46023 

Militi¢, Pavie M. Sur une inégalité complémentaire de l’inégalité triangulaire. (Serbo- 
Croatian summary) [On a complementary inequality of the triangle inequality] 
92b:46022 

Molt6, Anibal On a theorem of Sobczyk. 92d4:46043 





719 1992 


Montesinos Santalucia, Vicente On the drop property. 92h:46020 

Montgomery-Smith, S. J. (with Talagrand, Michel) The Rademacher cotype of operators 
from |. 92d:46044 

Na, Qi Yuan On fully convex and locally fully convex Banach space. 92¢:46018 

Namioka, I. see Preiss, David; et al., 92h:46021 

Nan, Chao Xun On weakly exposed points. 92b:46023 

Navarro Pascual, Juan Carlos The A-property in sums of normed spaces. (Spanish. English 
summary) (see 92b:00044) 

(Nessel, R. J.) see Zhou, Song Ping, 922:46018 

Odell, E. see Haydon, Richard; et al., 92h:46018 

Oja, Eve * Tipogonxenue byHkuHOHanos H CTpyKTypa MpocTpaHcTBa HempepbIBHBIX 
JMHeEHHBIX ONepaTtopos. (Russian) [Extension of functionals and the structure of the space 
of continuous linear operators] 92g:46019 

Pai, Devidas see Beer, Gerald A., 924:46035 

Pay4-Albert, Rafael (with Rodriguez-Palacios, Angel) Banach spaces which are semi-L- 
summands in their biduals. 92¢:46024 

— see also Cabello Piiiar, Juan Carlos; et al., 92e:46023 and Mena-Jurado, Juan Francisco; et 
al., 92¢:46037 

Phelps, R. R. see Preiss, David; et al., 92h:46021 

Pichugov, S. A. see Ivanov, V. I., 92c:46016 

Pifteiro, Candido (with Rodriguez-Piazza, L.) Banach spaces in which every compact lies 
inside the range of a vector measure. 92¢:46038 

Plans, Antonio see Garcia Castellén, Felicisimo, (92g:00024) 

Poliquin, René A. (with Zizler, V. E.) Optimization of convex functions on w*-compact 
sets. 92¢:46039 

Preiss, David (with Phelps, R. R.; Namioka, I.) Smooth Banach spaces, weak Asplund 
spaces and monotone or usco mappings. 92h:46021 

Prus, Stanislaw A remark on a theorem of Turett. (Russian summary) 924:46045 

— Some estimates for the normal structure coefficient in Banach spaces. 92j:46029 

Rassias, Themistocles M. On a modified Hyers-Ulam sequence. 924:46046 

Ravi, R. see Elumalai, S., 92i:46015 

Roach, Gary F. see Xu, Zong Ben, 92i:46023 

Rodriguez-Palacios, Angel see Cabello Pifiar, Juan Carlos; et al., 92e:46023; Paya-Albert, 
Rafael, 92e:46024 and Mena-Jurado, Juan Francisco; et al., 92¢:46037 

Rodriguez-Piazza, L. see Piiieiro, Candido, 92¢:46038 

Rolewicz, S. see Kutzarova, Denka N., 92i:46020 

Rosenthal, Haskell Paul Some aspects of the subspace structure of infinite-dimensional 
Banach spaces. (see 92g:41001) 

— see also Haydon, Richard; et al., 92h:46018 

Roy, Ashoke K. see Bandyopadhyaya, P., 92f:46012 

Schachermayer, Walter see Ghoussoub, N.; et al., 92g:46017 

Schechtman, Gideon see Figiel, T.; et al., 92k:46022 

Shehada, Hasan A. see Azoff, E. A., 92g:46013 

Shura, Thaddeus J. see Lohman, Robert H., 92c:46017 

Stavrakas, N. A reduction theorem for the intersection of closed convex hulls. 92h:46022 

Sudrez Granero, Antonio Stable and uniformly stable unit balls in Banach spaces. 92f:46015 

Swartz, Charles see Li, Rong Lu, 92j:46028 

Szarek, Stanistaw J. Computing summing norms and type constants on few vectors. 
92h:46023 

(Takahashi, Wataru) see Alonso Romero, Javier, 92k:46021 

Talagrand, Michel Type, infratype and the Elton-Pajor theorem. 92m:46028 

— see also Montgomery-Smith, S. J., 92d:46044 

Tomczak-Jaegermann, Nicole Projections on 2-dimensional spaces. (see 92g:41001) 

— see also Mankiewicz, Piotr, 92h:46019 

Tonoyan, G. A. Subspaces in general position in Banach spaces. (Russian) (see 92m:46002) 

Troyanski, S. L. see Godun, B. V., 92d:46038 and 921:46014 

Turett, Barry see Kamiriska, Anna, 92b:46020 

Tzafriri, L. see Bourgain, Jean, 92h:46015 

Ullan de Celis, Antonio see Alonso Romero, Javier, 92k:46021 

Valdivia, Manuel Topological direct sum decompositions of Banach spaces. 924:46047 

Wang, Jia Ping (with Yu, Xin Tai) On uniformly normal structures. (Chinese) 92h:46024 

— see also Yu, Xin Tai; et al., 92d:46049 

Wang, Jian Hua’ see Wang, Mu San, 92b:46024 

Wang, Mu San (with Wang, Jian Hua*) Banach spaces not antiproximinal in their second 
dual. 92b:46024 

Wei, Wen Zhan see Cheng, Li Xin; et al., 92c:46014 

Werner, Dirk New classes of Banach spaces which are M-ideals in their biduals. 92m:46029 

(van Wickeren, E.) see Zhou, Song Ping, 922:46018 

Wosko, Jacek see Goebel, Kazimierz, 92¢:46034 

Xu, Zong Ben (with Roach, Gary F.) Characteristic inequalities of uniformly convex and 
uniformly smooth Banach spaces. 92i:46023 

Ye, Gui Ping Some geometric characterizations of Asplund spaces. (Chinese. English 
summary) 924:46048 

Yost, David Thomas see Mena-Jurado, Juan Francisco; et al., 92¢:46037 

Younis, Rahman see Grzastewicz, Ryszard, 92i:46018 

Yu, Xin Tai (with Wang, Jia Ping) On moduli of k-rotundity and k-convexity. (Chinese) 
92d:46049 


— A note on Cesaro spaces. (Chinese. English summary) 924:46050 

— see also Wang, Jia Ping; et al., 92h:46024 

Zemek, M. Strong monotonicity and Lipschitz-continuity of the duality mapping. 
92k:46023 

Zhou, Song Ping A note on a paper concerning constructive method: “A general approach 
to quantitative negative results in approximation theory” [in Mathematical structure— 
computational mathemati hematical modelling, 2, 141-147, Bulgar. Acad. 
Sci., Sofia, 1984; MR 87b:41036] by W. Dickmeis, R. J. Nessel and E. van Wickeren. 
92a:46018 

Zizler, V. E. see Poliquin, René A., 92e:46039 and Deville, Robert; et al., 92i:46014 


Items with secondary classifications in 46B20 
Abbott, Catherine A. Weakly precompact and GSP operators on continuous function spaces. 





46B Normed linear spaces and Banach spaces; Banach lattices 


(Russian summary) 92b:47041 

Acosta Vigil, Maria Dolores CL-spaces and numerical radius attaining operators. 

— Denseness of numerical radius attaining operators: renorming and embedding results. 
92j:47017 

Aizpuru Tomas, Antonio see Benitez Trujillo, Francisco, (92m:00049) 

Alvarez, Teresa (with Gonzalez, Manuel) Factoring operators through quowhat-/, spaces. 
(see 92b:00044) 

Alvarez Garcia, José Antonio (with Onieva, Victor Manuel) On gaps in non-Archimedean 
Banach spaces. (Spanish) (see 92g:00024) 

Attouch, Hédy (with Ndoutoume, James Louis; Théra, Michel) Epigraphical convergence of 
functions and convergence of their derivatives in Banach spaces. 92i:46050 

Bahadur, Lal (with Soni, D.C.) Metric projection “x” and “q”. 92¢:41026 

— see also Soni, D. C., 92j:41045 

Behrends, Ehrhard Points of symmetry of convex sets in the two-dimensional complex 
space—a counterexample to D. Yost’s problem. 92f:46007 

Benitez, Carlos (with Otero, Ma. Carmen) A note on the extension of line-preserving 
continuous bilinear functionals. (Spanish) (see 92g:00024) 

Benitez Trujillo, Francisco (with Aizpuru Tomas, Antonio) Study of the A-property in c(X) 
when X = @(K,R). (Spanish. English summary) (see 92m:00049) 

Bombal, Fernando On some subsets of L;(u, E). 92b:46049 

— On certain subsets of Bochner integrable functions spaces. 92k:46054 

Borner, Walter Simplexe mit streng monotoner Entropiezahlenfolge. [Simplices with 
strongly monotone entropy sequence] 92m:41067 

Borrey, S. Weakly c’-compact subsets of non-Archimedean Banach spaces over a spherically 
complete field. 92f:46093 

Bosznay, Adam P. A remark on the farthest point problems. II. 92k:41046 

Bunce, L. J. The Dunford-Pettis property in the predual of a von Neumann algebra. 
92k:46100 

Cabello Pifar, Juan Carlos Banach spaces that are semi-L-summands of their biduals. 
(Spanish) (see 92g:00024) 

Calvert, Bruce see Fitzpatrick, Simon, 92k:52007 

Cambern, Michael (with Jarosz, Krzysztof) Multipliers and isometries in Hp. 92b:46050 

Canavati, José A. (with Galaz Fontes, Fernando) Compactness of embeddings between 
Banach spaces and applications to Sobolev spaces. 92f:46037 

Carl, Bernd Entropy and n-widths cf operators in Banach spaces. 92k:47040 

Carothers, N. L. (with Dilworth, S. J.; Trautman, D. A.) On the geometry of the unit 
spheres of the Lorentz spaces Ly). 92k:46039 

Chen, Shu Tao (with Yu, Xin Tai) Smooth points of Orlicz spaces. 92j:46050 

Cheng, Li Xin (with Li, Jian Hua'; Nan, Chao Xun) The Gateaux and Fréchet differen- 
tiability of continuous gauge functions on a Banach space. (Chinese. English summary) 
92k:46073 

Cieslik, Dietmar Knotengrade kiirzester Baume in endlich-dimensionalen Banachraumen. 
[Degrees of nodes of shortest trees in finite-dimensional Banach spaces] 92a:05039 

Cui, Yun An (with Wang, Ting Fu) The roughness of the norms on Orlicz spaces. 
92k:46040 

Cumming, J. (with van Eijndhoven, S. J. L.) * Inductive and projective limits of weighted 
unconditional Schauder systems. 92h:46006 

De Blasi, F.S. (with Myjak, J.; Papini, P. L.) Porous sets in best approximation theory. 
92h:41066 

Desbiens, Jocelyn Sur le biais d’un espace de Banach. (English summary) [On the 
asymmetry of a Banach space] 92d:46023 

— Constante rectangle et biais d’un espace de Banach. (English summary) [Rectangular 
constant and asymmetry of a Banach space] 92d:46024 

Dilworth, S. J. see Carothers, N. L.; et al., 92k:46039 

Dragomir, Sever Silvestru A characterization of reflexivity and strict convexity. (Serbo- 
Croatian summary) 92i:46013 

Effros, Edward G. (with Ruan, Zhong-jin) On approximation properties for operator 
spaces. 92g:46089 

van Eijndhoven, S. J. L. see Cumming, J., 92h:46006 

Emmanuele, Giovanni Dominated operators on C[0, 1] and the (CRP). 92m:47072 

— Gel'fand-Phillips property in the completion of the space of Pettis integrable functions. 
92a:46037 

— On the reciprocal Dunford-Pettis property in projective tensor products. 92a:46088 

Fabian, Mariadn (with Preiss, David) On intermediate differentiability of Lipschitz 
functions on certain Banach spaces. 92g:46048 

Feeman, Timothy G. Nest algebras of operators and the Dunford-Pettis property. 92e:47074 

Fitzpatrick, Simon (with Calvert, Bruce) Convex bodies in R? invariant under projections. 
92k:52007 

Fonf, V. P. Topological properties of subsets, and linear-topological properties of Banach 
spaces. (Russian) 92¢:46011 

Galaz Fontes, Fernando see Canavati, José A., 92f:46037 

Garcia Castellén, Felicisimo Compacité et position relative dans les espaces de Banach. 
(English summary) [Compactness and relative position in Banach spaces] 92d:46027 

Girardi, Maria (with Uhl, J. J., Jr.) Slices, RNP, strong regularity, and martingales. 
92a:46020 

— Weak vs. norm compactness in L;: the Bocce criterion. 92d:46075 

Godefroy, Gilles Comportement harmonique des fonctions différentiables sur certains 
espaces de Banach. [Harmonic behavior of differentiable functions on some Banach 
spaces] 92d:46110 

Gonzélez, Manuel see Alvarez, Teresa, (92b:00044) 

Guerre, Sylvie Some remarks on complex powers of (—A) and UMD spaces. 92f:47028 

Jarosz, Krzysztof see Cambern, Michael, 92b:46050 

Kalton, N. J. (with Saab, Elias; Saab, Paulette) L?(X) (1 < p < co) has the property (u) 
whenever X does. 92i:46041 

Kamiriska, Anna (with Turett, Barry) Type and cotype in Musielak-Orlicz spaces. 
92£:46029 

Klee, Victor (with Maluta, Elisabetta; Zanco, Clemente) Uniform properties of collections 
of convex bodies. 92k:52001 

Kokk, Arne Banach-Stone type theorems. (Russian) 92a:46038 

Kolomy, Josef Resolvents and selections of multivalued mappings and geometry of Banach 





46B20 


spaces. (see 92m:46004) 

Kouba, Omran On the interpolation of injective or projective tensor products of Banach 
spaces. 92e:46147 

Kuczumow, Tadeusz (with Stachura, Adam) Bruck’s retraction method. (French summary) 
92£:47060 

Kurc, Wieslaw Characterization of a weak uniform property in Kéthe spaces of vector 
valued functions. 924:46089 

Lewicki, Grzegorz see Odyniec, Wiodzimierz P., 92a:41021 

Li, Jian Hua! see Cheng, Li Xin; et al., 92k:46073 

Liu, Pei De The g-inequalities for B-valued regular martingales and geometrical properties 
of Banach spaces. 92a:46010 

Maleev, R. P. (with Troyanski, S. L.) Smooth norms in Orlicz spaces. 92j:46052 

Maluta, Elisabetta see Klee, Victor; et al., 92k:52001 

Manokhin, E. V. On K-locally uniformly convex spaces. (Russian) 92k:46003 

Maté, Lészi6 Remarks on the Ptak-Stein theorem. 92k:46012 

Militi¢é, Pavie M. La fonctionnelle g et quelques problémes des meilleures approximations 
dans des espaces normés. [The functional g and some problems of best approximation in 
normed spaces] 92g:41039 

Milman, Vitali D. Some applications of duality relations. 92h:52009 

Mitrinovi¢é, Dragoslav S. (with Petari¢, Josip E.) * Nejednakosti i norme. (Serbo-Croatian) 
[Inequalities and norms] 92m:26012 

Montgomery-Smith, S. J. The p'/? in Pisier’s factorization theorem. 92i:47021 

Moraes, Luiza A. On some relations between linear and holomorphic mappings on Banach 
spaces. 92¢:46099 

Moios, Joaquin (with Planells, Maria Jesis) Type and cotype of some vector-valued 
distribution spaces. (Spanish) (see 92g:00024) 

Miller, Paul F. X. (with Schechtman, Gideon) Several results concerning unconditionality 
in vector valued L? and H'(Y,) spaces. 92g:46032 

Mulvey, Christopher J. (with Pelletier, Joan Wick) A geometric characterization concerning 
compact, convex sets. 92a:46095 

Myjak, J. see De Blasi, F. S.; et al., 92h:41066 

Nan, Chao Xun see Cheng, Li Xin; et al., 92k:46073 

Ndoutoume, James Louis see Attouch, Hédy; et al., 921:46050 

van Neerven, J. M. A.M. A converse of Lotz’s theorem on uniformly continuous semi- 
groups. 92m:47077 

Nelson, James L. (with Singh, K. L.; Whitfield, J. H. M.) Normal structures and nonexpan- 
sive mappings in Banach spaces. 92¢:47099 

Nunez, Carmelo A note on the Dunford-Pettis property. (Spanish. English summary) (see 
92g:00024) 

Odyniec, Wiedzimierz P. (with Lewicki, Grzegorz) * Minimal projections in Banach 
spaces. 92a:41021 

Oja, Eve (with Werner, Dirk) Remarks on M-ideals of compact operators on X @p X. 
92g:47055 

Onieva, Victor Manuel see Alvarez Garcia, José Antonio, (92g:00024) 

Otero, Ma. Carmen see Benitez, Carlos, (92g:00024) 

Ozawa, Masanao Boolean valued interpretation of Banach space theory and module 
structures of von Neumann algebras. 92b:46095 

Papini, P.L. see De Blasi, F.S.; et al., 92h:41066 

Petari¢, Josip E. see Mitrinovi¢, Dragoslav S., 92m:26012 

Pelletier, Joan Wick see Mulvey, Christopher J., 92a:46095 

Petronio, Carle Holomorphic automorphisms of the unit ball of a direct sum. (Italian 
summary) 92¢:46100 

Pietsch, Albrecht Approximation numbers of nuclear operators and geometry of Banach 
spaces. 92i:47020 

— Eigenvalue distributions and geometry of Banach spaces. 924:47033 

Planells, Maria Jestis see Motos, Joaquin, (92g:00024) 

Preiss, David see Fabian, Marian, 92g:46048 

Rao, M. Bhaskara see Wang, Xiang Chen, 92a:60021 

Read, C. J. When E and E[E] are isomorphic. 92h:46014 

Reisner, S. Certain Banach spaces associated with graphs and CL-spaces with 1- 
unconditional bases. 92e:52004 

Rivera Ortin, M. J. The weak topology in certain right-injective tensor products of Banach 
spaces. 92¢:46142 

Robertson, Neill Dentability in locally convex spaces. 92d:46009 

Roubitek, Tomas A generalization of the Lions-Temam compact imbedding theorem. 
(Russian and Czech summaries) 92h:46052 

Ruan, Zhong-jin see Effros, Edward G., 92g:46089 

Saab, Elias see Kalton, N. J.; et al., 92i:46041 

Saab, Paulette see Kalton, N. J.; et al., 92i:46041 

Schechtman, Gideon see Miiller, Paul F. X., 92g:46032 

Schikhof, Wim H. The complementation property of /© in p-adic Banach spaces. 
92¢:46082 

Schmuckenschlager, M. On the dependence on ¢ in a theorem of J. Bourgain, J. Linden- 
Strauss and V. D. Milman. 92i:52005 

Sejeeni, Fowzi Ahmad Approximation in function modules. 92b:41057 

Shafrir, Itai The approximate fixed point property in Banach and hyperbolic spaces. 
92b:47096 

Singh, K. L. see Nelson, James L.; et al., 92e:47099 

Skordev, Dimit’r G. The indecomposability of a certain kind of semi-norms. 92i:46003 

Song, Wen Hua The Lipschitz continuous selection of metric projections. 92b:41058 

Soni, D.C. (with Bahadur, Lal) A note on coapproximation. 92j:41045 

— see also Bahadur, Lal, 92c:41026 

Soriano, Maria Luisa * Aproximacién simultanea en espacios normados. (Spanish) 
[Simultaneous approximation in normed spaces] 92d:41043 

Stachura, Adam see Kuczumow, Tadeusz, 92f:47060 

Stefansson, Gunnar F. Pettis integrability. 92f:46054 

Sudrez Granero, Antonio A-property in Orlicz spaces. (Russian summary) 924:46081 

Théra, Michel see Attouch, Hédy; et al., 921:46050 

Thompson, Anthony C. A theorem about affine maps in Banach spaces. 92f:52005 

Trautman, D. A. see Carothers, N. L.; et al., 92k:46039 


FUNCTIONAL ANALYSIS 


Troyanski, S. L. see Maleev, R. P., 92j:46052 

Tsar’kov, I.G. Properties of sets that have a continuous selection from the operator P?. 
(Russian) 92c:47085 

Turett, Barry see Kamirska, Anna, 92f:46029 

Ubhaya, Vasant A. Duality and Lipschitzian selections in best approximation from 
nonconvex cones. 92b:41060 

Uhl, J. J., Jr. see Girardi, Maria, 92a:46020 

Ulger, A. Weak compactness in L'(u, X). 92g:46035 

Vaisala, Jussi Free quasiconformality in Banach spaces. I. 92d:30012 

Verona, Andrei (with Verona, Maria Elena) A note on minimal usco maps. 92m:47106 

Verona, Maria Elena see Verona, Andrei, 92m:47106 

Vesely, Libor Accretive metric projections. 92f:41038 

Wang, Ting Fu Some geometric properties of Orlicz spaces. (see 92m:46004) 

— see also Cui, Yun An, 92k:46040 

Wang, Xiang Chen (with Rao, M. Bhaskara) A note on convergence in Banach spaces of 
cotype p. 92a:60021 

Webb, J.R.L. (with Zhao, Weiyu) On connections between set and ball measures of 
noncompactness. 92j:47104 

Werner, Dirk De nouveaux M-idéaux des espaces d’opérateurs compacts. [New M-ideals of 
compact operator spaces] 92¢:46042 

— see also Oja, Eve, 92g:47055 

Whitfield, J. H.M. see Nelson, James L.; et al., 92e:47099 

Wojtaszczyx, P. Some remarks on the Daugavet equation. 92k:47041 

Xu, Hong Kun Inequalities in Banach spaces with applications. 92e:47126 

— Existence and convergence for fixed points of mappings of asymptotically nonexpansive 
type. 92h:47089 

Yu, Xin Tai see Chen, Shu Tao, 92j:46050 

Zanco, Clemente see Klee, Victor; et al., 92k:52001 

Zhao, Weiyu see Webb, J. R. L., 92j:47104 

Zhong, Xin Min Proximity mappings of convex sets in complex Hilbert spaces. (Chinese. 
English summary) 92j:47137 


46B22 Radon-Nikodym, Krein-Mil'man and related properties 
[see also 46G10] 


Brito, Wilman Permanence of local Radon-Nikodym and Krein-Mil'man properties via 
Tauberian operators. (Spanish) 92d4:46051 

Bu, Shang Quan (with Khaoulani, Bouchta) Une caractérisation de la propriété de 
Radon-Nikodym analytique pour les espaces de Banach isomorphes 4 leur carrés. [A 
characterization of the analytic Radon-Nikodym property for Banach spaces isomorphic 
to their squares] 92d:46052 

Daher, Mohamed Une remarque sur la propriété de Radon-Nikodym. (English summary) 
[Remark on the Radon-Nikodym property] 92j:46030 

Dowling, Patrick N. Radon-Nikodym properties associated with subsets of countable 
discrete abelian groups. 92a:46019 

— Some applications of convolution of operators on Banach spaces. 92k:46024 

Emmanuele, Giovanni Banach spaces with the (CRP) and dominated operators on C(K). 
92j:46031 

Girardi, Maria (with Uhl, J. J., Jr.) Slices, RNP, strong regularity, and martingales. 
92a:46020 

Khaoulani, Bouchta Un théoréme de représentation intégrale. (English summary) [An 
integral representation theorem] 92d:46053 

— see also Bu, Shang Quan, 924:46052 

Orihuela, J. (with Schachermayer, Walter; Valdivia, Manuel) Every Radon-Nikodym 
Corson compact space is Eberlein compact. 92h:46025 

Ribarska, N. K. The dual of a Gateaux smooth Banach space is weak star fragmentable. 
92g:46020 

Schachermayer, Walter see Orihuela, J.; et al., 92h:46025 

Stegall, C. More facts about conjugate Banach spaces with the Radon-Nikodym property. 
92£:46016 

— More facts about conjugate Banach spaces with the Radon-Nikodym property. II. 
92k:46025 

Uhl, J. J., Jr. see Girardi, Maria, 92a:46020 

Valdivia, Manuel see Orihuela, J.; et al., 92h:46025 


Items with secondary classifications in 46B22 


Bu, Shang Quan (with Schachermayer, Walter) Approximation of Jensen measures by 
image measures under holomorphic functions and applications. 92h:46063 

Bunce, L. J. (with Chu, Cho-Ho) Dual spaces of JB*-triples and the Radon-Nikodym 
property. 92j:46122 

Chu, Cho-Ho see Bunce, L. J., 92j:46122 

Deville, Robert Dualité entre normes anguleuses et grandes tranches. [Duality between 
rough norms and large slices] 92g:46014 

Girardi, Maria Dentability, trees, and Dunford-Pettis operators on L;. 92e:46030 

Hensgen, Wolfgang Some remarks on boundary values of vector-valued harmonic and 
analytic functions. 92j:46062 

James, Robert C. Unconditional bases and the Radon-Nikodym property. 92¢:46021 

van Neerven, J. M. A.M. Reflexivity, the dual Radon-Nikodym property, and continuity of 
adjoint semigroups. 92k:46019 

Schachermayer, Walter see Bu, Shang Quan, 92h:46063 


46B25 Classical Banach spaces in the general theory 


Baronti, Marco (with Franchetti, Carlo) Minimal and polar projections onto hyperplanes in 
the spaces /, and /,,. 92¢:46040 

Bonsall, F. F. A general atomic decomposition theorem and Banach’s closed range theorem. 
92£:46017 

Dilworth, S. J. A weak topology characterization of /;(m). 92¢:46041 

Dominguez Benavides, T. Normal structure coefficients of L?(Q). 92f:46018 

Franchetti, Carlo see Baronti, Marco, 92e:46040 





1992 


Leung, Denny H. A Gel'fand-Phillips property with respect to the weak topology. 92j:46032 
Zink, Robert E. Subsystems of the Schauder system whose orthonormalizations are 
Schauder bases for L?(0, 1]. 92a:46021 


Items with secondary classifications in 46B25 

Andrew, A. D. (with Patterson, W.M.) Range inclusion and factorization of operators on 
classical Banach spaces. 92a:47001 

Bayod, José Manuel (with Masa, M. Concepcién) Chebyshev coefficients for L'-preduals 
and for spaces with the extension property. 92b:46018 

Bourgain, Jean (with Tzafriri, L.) Embedding ts in subspaces of L, for p > 2. 92h:46015 

Carothers, N. L. (with Dilworth, S. J.) Some Banach space embeddings of classical function 
spaces. 92¢:46028 

— (with Dilworth, S. J.; Lennard, Chris; Trautman, D. A.) A fixed point property for the 
Lorentz space Lp ;(). 92b:46030 

Dilworth, S. J. see Carothers, N. L.; et al., 92b:46030 and 92c:46028 

Emmanuele, Giovanni A remark on the containment of co in spaces of compact operators. 
92j:47078 

Figiel, T. (with Johnson, William B.; Schechtman, Gideon) Factorizations of natural 
embeddings of /? into L,. II. 92k:46022 

Godefroy, Gilles La structure des espaces représentables. [The structure of representable 
spaces] 92e:46033 

Han, De Guang Best approximations in tensor product spaces. (Chinese. English summary) 
92e:46141 

Hemasinha, Rohan (with Weaver, James R.) What are the linear isometries of /2? 
92j:46019 

Johnson, William B. see Figiel, T.; et al., 92k:46022 

Kamiriska, Anna Uniform convexity of generalized Lorentz spaces. 92f:46030 

Lennard, Chris see Carothers, N. L.; et al., 92b:46030 

Masa, M. Concepcién see Bayod, José Manuel, 92b:46018 

Mastylo, Mieczystaw Banach spaces via sublinear operators. 92g:46092 

Nakamura, Akihiro Conditional bases in L?[—7, 2]. 92h:46036 

Patterson, W. M. see Andrew, A. D., 92a:47001 

Pichugov, S. A. Separability of sets by a hyperplane in L,. (Russian. English summary) 
92k:46043 

Plichko, A. N. (with Popov, M. M.) Symmetric function spaces on atomless probability 
spaces. 92f:46032 

Popov, M. M. see Plichko, A. N., 92f:46032 

Schechtman, Gideon see Figiel, T.; et al., 92k:46022 

Shergin, Yu. V. see Viadimirov, D. A., 92j:46033 

Trautman, D. A. see Carothers, N. L.; et al., 92b:46030 

Tzafriri, L. see Bourgain, Jean, 92h:46015 

Viadimirov, D. A. (with Shergin, Yu. V.) Characterization of L” spaces in the class of 
normed vector lattices by means of the group of their isometric order automorphisms. 
(Russian. English summary) 92j:46033 

Weaver, James R. see Hemasinha, Rohan, 92j:46019 


46B26 Nonseparable Banach spaces 


Items with secondary classifications in 46B26 


Zajitek, Ludék Smallness of sets of nondifferentiability of convex functions in nonseparable 
Banach spaces. 924:46112 


46B28 Spaces of operators; tensor products; approximation 
properties [see also 46A32, 46M05, 47D15, 47D50] 


Emmanuele, Giovanni Remarks on the uncomplemented subspace W(E, F). 92£:46019 

Lépez Molina, J. A. Some generalizations of Pitt’s theorem. (Spanish. English summary) 
(see 92m:00049) 

Werner, Dirk De nouveaux M-idéaux des espaces d’opérateurs compacts. [New M-ideals of 
compact operator spaces] 92¢:46042 


Items with secondary classifications in 46B28 

Aron, Richard M. (with Rajappa, Asthagiri K.) Weak continuity of mappings between 
spaces of compact operators. 92d:47034 

Castillo, Jestis M. F. Sequences, operators and tensors. 92a:46002 

Emmanuele, Giovanni On the containment of co by spaces of compact operators. (French 
summary) 92j:46023 

— Remarks on weak compactness of operators defined on certain injective tensor products. 
92m:46109 

Godun, B. V. (with Troyanski, S. L.) Norm-attaining operators, and the geometry of the 
unit sphere of a Banach space. (Russian) 924:46038 

Gonzalez, Manuel (with Martinén, Antonio) On the generalized Sadovskii functor. 
925:47084 

Junek, Heinz Injective and radial ideals of bilinear operators. (German and Russian 
summaries) 92¢:47078 

Maity, A. K. On semilinear tensor product. 92i:46089 

Martinén, Antonio see Gonzalez, Manuel, 92j:47084 

Oja, Eve * IIpononmxenne dbyHKuMOHanoB HM CTpyKTypa NpocTpaHCcTBa HelpepbiBHbIX 
JMHeHHBIX Onepatopos. (Russian) [Extension of functionals and the structure of the space 
of continuous linear operators] 92g:46019 

— (with Werner, Dirk) Remarks on M-ideals of compact operators on X @p X. 92g:47055 

Pisier, Gilles A remark on IT2(/),/,). 92j:47079 

Rajappa, Asthagiri K. see Aron, Richard M., 92d:47034 

Schiitt, I. Unconditional bases in Banach spaces of absolutely p-summing operators. 
924d:46031 

Troyanski, S. L. see Godun, B. V., 92d:46038 

Werner, Dirk see Oja, Eve, 92g:47055 


46B40 Ordered normed spaces [see also 46A40, 46B42] 


46B Normed linear spaces and Banach spaces; Banach lattices 


Items with secondary classifications in 46B40 

Chen, Yong Zhuo Existence theorems of coupled fixed points. 924:47073 

Lin, Michael (with Sine, Robert) Contractive projections on the fixed point set of L.. 
contractions. 92h:47012 

Nguyén Hong Thai see Zabreiko, P. P., 92m:46050 

Sine, Robert see Lin, Michael, 92h:47012 

Zabreiko, P. P. (with Nguyén Hong Thai) Some order properties in Orlicz spaces of vector 
functions. (Russian. English summary) 92m:46050 

Zhuang, D. M. Bases of convex cones and Borwein’s proper efficiency. 92h:90113 


46B42 Banach lattices [see also 46A40, 46B40] 


Bernau, S. J. (with Huijsmans, C. B.) On the positivity of the unit element in a normed 
lattice ordered algebra. 92d:46054 

Grzaslewicz, Ryszard (with Schaefer, Helmut H.) Extreme points of the positive part of the 
unit ball and strictly monotone norm. 92h:46026 

Huijsmans, C. B. see Bernau, S. J., 92d:46054 

Margolis, Beatriz Compact, convex sets in R" and a new Banach lattice. I. Theory. 
924:46055a 

— Compact, convex sets in R” and a new Banach lattice. II. Application: an approximation 
problem. 924:46055b 

Rabiger, Frank Ergodic Banach lattices. 92e:46043 

Schaefer, Helmut H. see Grzgslewicz, Ryszard, 92h:46026 

Scheffold, Egon Der Bidual von F-Banachverbandsalgebren. [The bidual of Banach F- 
algebras] 92h:46027 

Shergin, Yu. V. see Viadimirov, D. A., 92j:46033 

Viadimirov, D. A. (with Shergin, Yu. V.) Characterization of L” spaces in the class of 
normed vector lattices by means of the group of their isometric order automorphisms. 
(Russian. English summary) 92j:46033 


Items with secondary classifications in 46B42 

Aliprantis, Charalambos D. (with Burkinshaw, Owen) When is the core equivalence 
theorem valid? 92b:90065 

Burkinshaw, Owen see Aliprantis, Charalambos D., 92b:90065 

Conradie, Jurie Duality results for order precompact sets in locally solid Riesz spaces. 
92i:46008 

Feldman, William (with Kranz, Przemo; Porter, James) Dominated compact positive 
operators. (Russian summary) 92b:47055 

Ghoussoub, N. (with Johnson, William B.) Operators which factor through Banach lattices 
not containing Co. 92j:47064 

Hernandez Rodriguez, Francisco L. Disjointly strictly-singular operators in Banach lattices. 
92i:47038 

Huijsmans, C. B. (with de Pagter, Ben) Disjointness preserving and diffuse operators. 
92k:47071 

Johnson, William B. see Ghoussoub, N., 92j:47064 

Kranz, Przemo see Feldman, William; et al., 92b:47055 

Mukherjee, Rathindra Nath' (with Som, Tanmoy; Verma, Vandana) On common fixed 
points of nonlinear mappings in certain Banach lattices. 92e:47109 

Nikolova, Lyudmila I. On the complex method of interpolation for family of Banach 
lattices, some classes of operators. 92m:46042 

de Pagter, Ben see Huijsmans, C. B., 92k:47071 

Porter, James see Feldman, William; et al., 92b:47055 

Rabiger, Frank Lower and upper 2-estimates for order bounded sequences and Dunford- 
Pettis operators between certain classes of Banach lattices. 92j:47068 

Samarskii, V.G. Absolutely summing operators in spaces of cotype 2. (Russian) 92e:47027 

Shotaev, G. N. Tensor product of Banach spaces with a mixed norm. (Russian) 92a:46089 

Som, Tanmoy see Mukherjee, Rathindra Nath’; et al., 92e:47109 

Sucheston, Louis (with Szabé, Laszlé I.) A principle for almost everywhere convergence of 
multiparameter processes. 92j:46136 

Sundaresan, Kondagunta Geometry of spaces of homogeneous polynomials on Banach 
lattices. 92k:46077 

Szabé, Laszlé6 I. see Sucheston, Louis, 92j:46136 

Ulymzhiev, M. D. On the existence of the structure of a vector lattice in tensor products of 
Banach lattices. (Russian. English summary) 92d:46179 

Verma, Vandana see Mukherjee, Rathindra Nath’; et al., 92¢:47109 

Wu, Hueytzen J. A Stone approximation theorem for TM-partition spaces. 92e:46011 

Zaharopol, Radu On subinvariant elements in Banach lattices. 92a:47043 

— KB-spaces and subinvariant elements of positive operators. 92a:47044 


46B45 Banach sequence spaces [see also 46A45] 


Aizpuru Tomas, Antonio see Benitez Trujillo, Francisco, (92m:00049) 

Baronti, Marco Strictly contractive projections on classical sequence spaces. 92¢:46019 

Benitez Trujillo, Francisco (with Aizpuru Tomas, Antonio) Study of the A-property in c(X) 
when X = @(K,R). (Spanish. English summary) (see 92m:00049) 

Chen, Shu Tao see Wang, Ting Fu, 92j:46035 

Ganguly, D. K. (with Ray, S.) Some properties of set C;, in /,-space. 92m:46030 

Kalton, N. J. Minimal and strongly minimal Orlicz sequence spaces. 92m:46031 

Liu, You Ming see Wang, Ting Fu, 92k:46026 

Mena-Jurado, Juan Francisco (with Navarro Pascual, Juan Carlos) On the A-property and 
spaces of convergent sequences. 

Navarro Pascual, Juan Carlos see Mena-Jurado, Juan Francisco 

Noll, Dominikus A concrete duality approach to compactness and strict singularity of 
inclusion operators. 92a:46022 

— Strict singularity of inclusion operators between y-spaces and Meyer-K6nig Zeller type 
theorems. 92b:46025 

Ray, S. see Ganguly, D. K., 92m:46030 

Suyalatu (with Xu, Chun Ning) Roughness of norms in the Banach sequence space 
Cesp(E). (Chinese. English summary) 92j:46034 





46B45 


Wang, Ting Fu (with Liu, You Ming) Packing constant of a type of sequence spaces. 
92k:46026 

— (with Chen, Shu Tao) K-uniform rotundity of sequence Orlicz spaces. 92j:46035 

Xu, Chun Ning see Suyalatu; et al., 92j:46034 


Items with secondary classifications in 46B45 


Anantharaman, R. (with Diestel, J.) Sequences in the range of a vector measure. 92g:46049 

Cakar, O. see Colak, R., 922:46008 

Colak, R. (with Cakar,O.) Banach limits and related matrix transformations. 92a:46008 

Denker, Manfred (with Hudzik, Henryk) Uniformly non-/\") Musielak-Orlicz sequence 
spaces. 92m:46013 

Diestel, J. see Anantharaman, R., 92g:46049 

Dilworth, S. J. A weak topology characterization of /,(m). 92e:46041 

Dineen, Sean (with Timoney, Richard M.) Complex geodesics on convex domains. 
92m:46066 

Hudzik, Henryk (with Ye, Yi Ning) Support functionals and smoothness in Musielak- 
Orlicz sequence spaces endowed with the Luxemburg norm. 92g:46008 

— see also Denker, Manfred, 92m:46013 

Liu, Yu Qiang The second duals of nonabsolute type sequence spaces. 92k:46015 

Savas, Ekrem o-summable sequences and matrix transformations. 92c:40009 

Sun, Hui Ying see Wu, Cong Xin; et al., 92h:46012 

Timoney, Richard M. see Dineen, Sean, 92m:46066 

Wisla, Marek Extreme points and stable unit balls in Orlicz sequence spaces. 92d:46018 

Wa, Cong Xin (with Sun, Hui Ying) Norm calculation and complex convexity of the 
Musielak-Orlicz sequence space. 92h:46012 

Ye, Yi Ning see Hudzik, Henryk, 92g:46008 

Zeng, Ya Shi Duals of nonabsolute vector-valued sequence spaces. (Chinese. English 
summary) 92m:46016 


46B70 Interpolation between normed linear spaces 
[see also 46M35] 


Carro, M. J. (with Cerda, Joan) On complex interpolation with an analytic functional. 
92a:46023 
Cerda, Joan see Carro, M. J., 92a:46023 


Items with secondary classifications in 46B70 

Berezhnoi, E.1. (with Mastylo, Mieczyslaw) On Calderén-Lozanovskii construction. 
(Russian summary) 92¢:46145 

Bohm, Michael Remarks on complex interpolation of some nonlinear operators. I. 
92k:46122 

Kruglyak, N. Ya. A set of K-functionals for a fixed Banach couple. (see 92m:46004) 

Mastylo, Mieczysiaw Banach spaces via sublinear operators. 92g:46092 

— see also Berezhnoi, E. I., 92e:46145 

Tabacco Vignati, Anita Some techniques for the characterization of intermediate spaces. 
92c:46080 

Youssfi, Abdellah Localisation des espaces de Lizorkin-Triebel homogeénes. (English 
summary) [Localization of homogeneous Lizorkin-Triebel spaces] 92j:46059 


46B99 None of the above, but in this section 


Davis, William J. Moduli of complex convexity. 924:46056 

Dijkstra, Jan J. (with Mogilski, Jerzy) The topological product structure of systems of 
Lebesgue spaces. 92h:46028 

Franié, Ivan A note on strictly convex linear 2-normed spaces. 92k:46028 

Kovalév, P. I. Parametrizable subsets of Banach spaces. (Russian) 92j:46036 

Li, Xin Bao L? orthogonality in real normed linear spaces. (Chinese. English summary) 
92j:46037 

Lin, Chia-Shiang On strictly convex and strictly 2-convex 2-normed spaces. 92k:46027 

Mogilski, Jerzy see Dijkstra, Jan J., 92h:46028 

Ritz, J. On orthogonally additive mappings. III. 924:46057 

Skof, Fulvia Approximately isometric functionals on normed spaces. (Italian summary) 
92c:46020 

Stein, J. D., Jr. Partial pointwise-boundedness and an argument of Ptak. 92j:46038 

Suyalatu n-normed spaces and bounded n-linear functionals. (Chinese. English summary) 
925:46039 

Valdivia, Manuel Projective resolutions of the identity operator and Markushevich bases in 
some Banach spaces. (Spanish. English summary) 92m:46032 


Items with secondary classifications in 46B99 

Abian, Alexander An inner product and orthonormalization in /?-spaces and solution of 
infinite systems of infinite linear equations. 92h:47014 

Aksoy, Asuman Giiven Q-compact sets and Q-compact maps. 92c:47021 

Al-Abbas, M. A. see Al-Rashed, Abdallah M., 92c:46004 and 92c:46005 

Al-Rashed, Abdallah M. (with Al-Abbas, M. A.) A characterization of strict convexity in 2- 
normed spaces. 92¢:46004 

— (with Al-Abbas, M. A.) Corrections to certain results on quasi-2-normed spaces. 
92c:46005 

Ball, Keith Isometric embedding in /,-spaces. 92f:52014 

Cho, Yeol Je (with Freese, Raymond W.) Isometry conditions in linear 2-normed spaces. 
92b:46008 

Constantinescu, Corneliu Banach categories. 924:46180 

Diamond, Phil Congruence classes of fuzzy sets form a Banach space. 92m:46113 

Freese, Raymond W. see Cho, Yeol Je, 92b:46008 

Gonzalez, Manuel (with Martinén, Antonio) Note on the Hausdorff measure of noncom- 
pactness. 92j:54039 

Gordon, Y. (with Lewis, D. R.) Dvoretzky’s theorem for quasi-normed spaces. 92m:46020 

Katsaras, A. K. (with Martinez-Maurica, Javier) Kolmogorov diameters and orthogonality 
in non-Archimedean normed spaces. 92k:46124 


FUNCTIONAL ANALYSIS 1992 722 


Lahrache, J. Stabilité et convergence dans les espaces non réflexifs. [Stability and conver- 
gence in nonreflexive spaces] 92m:49021 

Lewis, D. R. see Gordon, Y., 92m:46020 

Martinez-Maurica, Javier see Katsaras, A. K., 92k:46124 

Martinén, Antonio see Gonzalez, Manuel, 92j:54039 

Nishishiraho, Toshihiko Saturation of iterations for approximation processes on Banach 
spaces. 92m:41057 

— Saturation of iterations of multiplier operators in Banach spaces. 92m:41058 

de las Obras-L. y Nasarre, Ma. Carmen Some relations among different types of conver- 
gence of subspaces. (Spanish. English summary) (see 92b:00044) 

Povolotskii, A. 1. (with Sviridyuk, G. A.) Some nonstandard structures in normed vector 
spaces. (Russian) (see 92g:47001) 

Pumplin, Dieter (with R6hril, Helmut) Congruence relations on totally convex spaces. 
924:46181 

Rohrl, Helmut see Pumpliin, Dieter, 92d:46181 

Sviridyuk, G. A. see Povolotskii, A. I., (92g:47001) 

Talagrand, Michel Cotype of operators from C(K). 92m:47074 

Tikhomirov, V.M. Some remarks on relative diameters. 92b:41059 

(Trzeciak, Jerzy) see Tikhomirov, V. M., 92b:41059 


46Cxx Inner product spaces and their generalizations, 
Hilbert spaces {For function spaces, see 46Exx.} 


46C05 Hilbert and pre-Hilbert spaces: geometry and topology 
(including spaces with semidefinite inner product) 


Dvuretenskij, Anatolij Frame functions, signed measures and completeness of inner product 
spaces. 92a:46024b 

— Astate criterion of the completeness for inner product spaces. 92a:46024a 

— Regular, finitely additive states and completeness of inner product spaces. 92¢:46044 

Ingram, John M. (with Marsh, M. M.) Projections onto convex cones in Hilbert space. 
920:46025 

Marsh, M. M. see Ingram, John M., 92a:46025 

Obert, David G. The angle between two cones. 92e:46045 

Valadier, Michel Exemple, dans un espace préhilbertien, de deux sous-espaces mutuelle- 
ment orthogonaux non supplémentaires. [Example, in a pre-Hilbert space, of two non- 
complementary mutually orthogonal subspaces] 92d:46058 


Items with secondary classifications in 46C05 

Ayupov, Sh. A. (with Iochum, Bruno; Yadgorov, N. Dzh.) Symmetry versus facial 
homogeneity for self-dual cones. 92g:46063 

Iochum, Bruno see Ayupov, Sh. A.; et al., 92¢:46063 

Mitrinovi¢, Dragoslav S. (with Petari¢, Josip E.) * Nejednakosti i norme. (Serbo-Croatian) 
[Inequalities and norms] 92m:26012 

Petari¢é, Josip E. see Mitrinovi¢, Dragoslav S., 92m:26012 

Sandru, I. see Sandru, O., 92d:46025 

Sandru, O. (with Sandru, I.) Local conditions for a Banach space to be A-isometric to a 
Hilbert space. (Romanian. English summary) 924:46025 

Ta Khac Cu Direct limits which are Hilbert spaces. 92h:57033 

Yadgorov, N. Dzh. see Ayupov, Sh. A.; et al., 92g:46063 

Yost, David Thomas If every doughnut is a teacup, then every Banach space is a Hilbert 
space. 92g:46010 


46C15 Characterizations of Hilbert spaces 


Bosznay, Adam P. A remark on a paper of P. Volkmann: “A characterization of Hilbert 
spaces” [Math. Japon. 32 (1987), no. 3, 501; MR 89m:46034]. 924:46059 

Desbiens, Jocelyn Une nouvelle caractérisation des espaces de Hilbert. (English summary) 
[A new characterization of Hilbert spaces] 92d:46060 

Dvuretenskij, Anatolij Frame functions and completeness. 92j:46040 

— (with Neubrunn, Tibor; Pulmannova, Sylvia) Finitely additive states and completeness 
of inner product spaces. 92a:46026 

— Regular measures and completeness of inner product spaces. 92k:46029 

Neubrunn, Tibor see Dvuretenskij, Anatolij; et al., 92a:46026 

Pulmannova, Sylvia see Dvuretenskij, Anatolij; et al., 92a:46026 

Szabé, Gy. A characterization of generalized inner product spaces (g-orthogonally additive 
mappings). III. 92j:46041 

(Volkmann, Peter) see Bosznay, Adam P., 92d:46059 


Items with secondary classifications in 46C15 

Li, Xin Bao L? orthogonality in real normed linear spaces. (Chinese. English summary) 
92j:46037 

Rassias, John M. Four new criteria on characterizations of inner products. 

Rummler, H. On two characteristic properties of Euclidean norms. 924:52005 

Vesely, Libor Accretive metric projections. 92f:41038 


46C20 Spaces with indefinite inner product 


Li, Shao Kuan Complementary spaces in Krein spaces. (Chinese. English summary) 
92¢:46046 


Items with secondary classifications in 46C20 

Alpay, Daniel Some reproducing kernel spaces of continuous functions. 92k:46033 

— Some remarks on reproducing kernel Krein spaces. 92m:46038 

— On linear combinations of positive functions, associated reproducing kernel spaces and a 
non-Hermitian Schur algorithm. 92m:46039 

de Branges, Louis A construction of Krein spaces of analytic functions. 92k:46031 





723 1992 


Brousseau, V. Espaces de Krein et index des systemes hamiltoniens. (English summary) 
[Krein spaces and the index of Hamiltonian systems] 92¢:58067 

Matveichuk, M.S. Jordan decomposition of measures on projectors of J-spaces. (Russian) 
92b:46104 

— Measures on the quantum logic of subspaces of a J-space. (Russian) 92j:46137 

Pekarev, E. L. Angular operators of nondegenerate subspaces. (Russian) 92d:47052 


46C50 Generalizations of inner products (semi-inner products, 
partial inner products, etc.) 


Ma, Chao Qun Several effective theorems about the relationship between the g-norm and 
pseudo-semi-inner product. (Chinese summary) 

Marino, Giuseppe (with Pietramala, Paolamaria) Linear acute-angle bases in semi-inner 
product spaces. 92j:46042 

Pietramala, Paolamaria see Marino, Giuseppe, 92j:46042 


Items with secondary classifications in 46C50 

Abian, Alexander An inner product and orthonormalization in /?-spaces and solution of 
infinite systems of infinite linear equations. 92h:47014 

Abo Hadi, Mohamed A. Topologies on generalized semi-inner product algebras of type (p). 
92¢:46101 

Al-Abbas, M. A. see Al-Rashed, Abdallah M., 92c:46004 

Al-Rashed, Abdallah M. (with Al-Abbas, M. A.) A characterization of strict convexity in 2- 
normed spaces. 92¢:46004 

Dragomir, Sever Silvestru Local representation of distance functional on smooth normed 
linear spaces. 92¢:46027 

Ritz, J. On orthogonally additive mappings. III. 92d:46057 


46C99 None of the above, but in this section 


Dvuretenskij, Anatolij (with Neubrunn, Tibor; Pulmannova, Sylvia) Regular states and 
countable additivity on quantum logics. 92g:46021 

Fernandez Esteller, Rosa Ma. On generalized inner product spaces. (Spanish) (see 
92g:00024) 

Neubrunn, Tibor see Dvuretenskij, Anatolij; et al., 92g:46021 

de las Obras-L. y Nasarre, Ma. Carmen Some relations among different types of conver- 
gence of subspaces. (Spanish. English summary) (see 92b:00044) 

— Weak Cauchy sequences in ¥(#). (Spanish. English summary) (see 92m:00049) 

Plans, Antonio (with Rodés-Usan, Alvaro Angel) Sequences of orthogonal vectors in a 
Hilbert cube. (Spanish. English summary) (see 92b:00044) 

Pulmannov4, Sylvia see Dvuretenskij, Anatolij; et al., 92g:46021 

Rodés-Ussn, Alvaro Angel see Plans, Antonio, (92b:00044) 

Szabé, Gy. On orthogonality spaces admitting nontrivial even orthogonally additive 
mappings. 92i:46024 


Items with secondary classifications in 46C99 

Alon, Noga (with Peres, Yuval) A note on Euclidean Ramsey theory and a construction of 
Bourgain. 92i:11012 

Appling, William D. L. Set functions and real Hilbert spaces. (Italian summary) 92g:28006 

Dijkstra, Jan J. (with Mogilski, Jerzy) The topological product structure of systems of 
Lebesgue spaces. 92h:46028 

Dragomir, Sever Silvestru (with Petarié, Josip E.; Sandor, Jozsef) Some generalizations of 
Cauchy-Buniakovski-Schwartz inequality for isotonic functionals. (Romanian summary) 

El-Abyad, Abdelwahab M. (with El-Hamouly, Hassan M.) Fuzzy inner product spaces. 
92k:46127 

El-Hamouly, Hassan M. see El-Abyad, Abdelwahab M., 92k:46127 

Horvath, Miklés (with Jo6, Istvan) On Riesz bases. II. 92m:42038 

Jo6, Istvan see Horvath, Miklés, 92m:42038 

Komorowski, Tomasz (with Wosko, Jacek) A remark on the retracting of a ball onto a 
sphere in an infinite-dimensional Hilbert space. 92e:58012 

Li, Chong A problem on Chebyshev centers. 92j:41044 

Maczytiski, Maciej J. Orthomodularity in partially ordered vector spaces. (Russian 
summary) 92g:46007 

Mogilski, Jerzy see Dijkstra, Jan J., 92h:46028 

Narang, T. D. Uniquely remotal sets are singletons. 92j:54036 

Ovcharenko, I. E. Scalar products in the space of polynomials, and positivity. (Russian. 
English summary) 924:46094 

Petarié, Josip E. see Dragomir, Sever Silvestru; et al. 

Peres, Yuval see Alon, Noga, 92i:11012 

Sandor, Jézsef see Dragomir, Sever Silvestru; et al. 

Wosko, Jacek see Komorowski, Tomasz, 92e:58012 

Zhuraev, T. F. The space of all probability measures with finite carriers is homeomorphic to 
an infinite-dimensional linear space. (Russian) 92¢:46026 


46Exx Linear function spaces and their duals 
[see also 30H05, 32E25, 46F05; for function 
algebras, see 46J10] 


Items with secondary classifications in 46Exx 

DeVore, Ronald A. Degree of nonlinear approximation. 92¢:41021 
(Hudzik, Henryk) see Function spaces, 92m:46004 

Mohapl, Jaroslav On modular set functions and measures. 92g:28001 
(Musielak, Julian) see Function spaces, 92m:46004 

(Urbatiski, Ryszard) see Function spaces, 92m:46004 

Zhu, Ke He * Operator theory in function spaces. 92c:47031 


46E Linear function spaces and their duals 


Items listed otherwise than by author 
Conference: 

Function Spaces * Function spaces. 92m:46004 
Function spaces * Function spaces. 92m:46004 
Poznan * Function spaces. 92m:46004 


46E05 Lattices of continuous, differentiable or analytic functions 


Orlicz, Wiadystaw On decomposability of elements into positive elements in normed spaces 
of continuous functions. 92d:46061 

Zakharov, Valerii Konstantinovich Classical extensions of a vector lattice of continuous 
functions. (Russian) 92a:46027 


Items with secondary classifications in 46E05 


Anger, Bernd (with Portenier, Claude) * Radon integrals. 92m:28001 

Jarosz, Krzysztof Automatic continuity of separating linear isomorphisms. 92j:46049 

Portenier, Claude see Anger, Bernd, 92m:28001 

Rebowski, Ryszard On the lattice structure of invariant functions for Markov operators on 
C(X). 924:47013 

Wa, Hueytzen J. A Stone approximation theorem for TM-partition spaces. 92¢:46011 

Zakharov, Valerii Konstantinovich Alexandrovian cover and Sierpiriskian extension. 
92¢:46109 


46E10 Topological linear spaces of continuous, differentiable or 
analytic functions 


Aguayo, José (with Sanchez H., José A.) Separable measures and the Dunford-Pettis 
property. 92f:46020 

Arias de Reyna Martinez, Juan (with Duran Guardeiio, Antonio J.) Some results about the 
space A~@ of analytic functions. 92¢:46047 

van Berkel, C. A. M. see van Eijndhoven, S. J. L., 92d:46063 

Bernal, Antonio (with Cerda, Joan) Analyticity and quasi-Banach valued functions. 
92¢:46048 

Bhave, N.S. (with Raghunathan, T. T.) A study of some generalised spaces of entire 
functions. 92c:46021 

Bierstedt, Klaus-D. (with Bonet, José) Some recent results on 7” C(X). 92b:46026 

— (with Bonet, José) Completeness of the (LB)-spaces Y C(X). 92d:46062 

Bonet, José see Bierstedt, Klaus-D., 92b:46026 and 924:46062 

Bravo Villar, Ma. Pilar A characterization of the bornological spaces C(X). (Spanish) (see 
92g:00024) 

— (with Santos, J. L.) A characterization of bornological C(X) spaces. 92a:46028 

Cerda, Joan see Bernal, Antonio, 92¢:46048 

Domaiiski, Pawel Fréchet injective spaces of continuous functions. 92¢:46049 

Duran Guardeiio, Antonio J. see Arias de Reyna Martinez, Juan, 92e:46047 

van Eijndhoven, S. J. L. (with van Berkel, C. A.M.) Hankel transformations and spaces of 
type S. 924:46063 

Ferrer Villanueva, José R. (with Lopez Pellicer, M.; Sanchez Ruiz, Luis M.) Compact 
contractive projections in continuous function spaces. 92h:46029 

Jevtié, Miroljub (with Pavilovié, Miroslav) On the Hahn-Banach extension property in 
Hardy and mixed norm spaces on the unit ball. 92j:46043 

Kehlet, Esben T. Locally compact F’-spaces, sub-Stonean spaces and quotients of locally 
compact groups. 92k:46030 

Krotov, V.G. On the boundary behavior of functions in Hardy-type spaces. (Russian) 
92e:46050 

Lépez Pellicer, M. see Ferrer Villanueva, José R.; et al., 92h:46029 

Lou, Zeng Jian A note on a conjecture of S. Axler. (Chinese. English summary) 

Mora Martinez, Gaspar Nuclearity of harmonic function spaces with asymptotic expan- 
sions. (Spanish. English summary) 92h:46030 

Paviovié, Miroslav see Jevtié, Miroljub, 92j:46043 

Popénov, S. V. On a weighted space of sequences of functions that are analytic in an 
unbounded convex domain. (Russian) (see 92f:00019) 

Raghunathan, T.T. see Bhave, N. S., 92c:46021 

Raichinov, I. (with Raichinov, R. I.) On linear operators acting in spaces of analytic 
functions and commuting with Euler’s operator. 92d:46064 

Raichinov, R.1. see Raichinov, I., 92d:46064 

Sanchez H., José A. see Aguayo, José, 92f:46020 

Sanchez Ruiz, Luis M. see Ferrer Villanueva, José R.; et al., 92h:46029 

Santos, J. L. see Bravo Villar, Ma. Pilar, 92a:46028 

Schmets, Jean (with Valdivia, Manuel) On the extent of the (non)quasi-analytic classes. 
92:46021 

Todd, Aaron R. Pseudocompact sets, absolutely Warner bounded sets and continuous 
function spaces. 924:46065 

Valdivia, Manuel see Schmets, Jean, 92:46021 


Items with secondary classifications in 46E10 

Anger, Bernd (with Portenier, Claude) * Radon integrals. 92m:28001 

Braun, Riidiger W. (with Meise, Reinhold; Vogt, Dietmar) Applications of the projective 
limit functor to convolution and partial differential equations. 92b:46119 

Choi, U Jin see Kwak, Do Young, 92j:32011 

De Grande-De Kimpe, Nicole (with Navarro, S.) Non-Archimedean nuclearity and spaces 
of continuous functions. 92h:46113 

Dieckmann, Gregor A characterization of the Korovkin closure with respect to functionals. 
92h:46013 

Eyland, Roger (with Sharp, Bernice) A factor theorem for locally convex differentiability 
spaces. 92h:46060 

Ferrer Villanueva, José R. see Sanchez Ruiz, Luis M., (92b:00044) and (92b:00044) 

Galbis, Antonio On weighted inductive limits of spaces of Fréchet-valued continuous 
functions. 92k:46056 

Gorgula, V. I. (with Nagnibida, N. I.; Nastasiev, P. P.) Some methods for studying systems 
of functions for completeness and the basis property. (Russian) 92j:30003 





46E10 


Johnson, Raymond L. (with Neugebauer, C. J.) Change of variable results for Ap- and 
reverse Hélder RH,-classes. 92¢:42019 

Kalton, N. J. (with Leranoz, C.; Wojtaszczyk, P.) Uniqueness of unconditional bases in 
quasi-Banach spaces with applications to Hardy spaces. 92f:46004 

Kazaryan, G. G. (with Markaryan, V. N.) Lower bounds on the functional dimension of the 
solution space of hypoelliptic operators. (Russian) 92a:35041 

Khurana, Surjit Singh Grothendieck spaces. II. 92i:46042 

Kolomeitsev, S. V. On expansions of entire functions of exponential type in quasipower 
bases in the space C”. (Russian) (see 92d:28002) 

Korobeinik, Yu. F. Dense spaces and their applications. (Russian) 92m:46008 

— Acriterion for the basis property in F-spaces. Applications to interpolation problems. 
(Russian) 92k:46014 

Krasichkov-Ternovskii, I. F. Abstract methods for the local description of closed submod- 
ules of analytic functions. (Russian) 92¢:46112 

Kremp, Stefan Ein kurzer Beweis des Angelic-Satzes fiir stetige Funktionen auf web- 
kompakten Raumen. [A short proof of the angelic theorem for continuous functions on 
web-compact spaces] 92j:46016 

Kriegl, A. (with Michor, Peter W.) The convenient setting for real analytic mappings. 
92a:58009 

Kwak, Do Young (with Choi, U Jin) A generalization of multiplier theorem to the ball. 
92j:32011 

Leranoz, C. see Kalton, N. J.; et al., 92f:46004 

Lewicki, Grzegorz On a theorem of S. N. Bernstein and its application in modular function 
spaces. 92¢:46032 

Lépez Pellicer, M. see Sanchez Ruiz, Luis M., 92k:46011 

Mannanov, M. M. Description of a class of analytic functionals. (Russian) 92h:32007 

Markaryan, V. N. see Kazaryan, G. G., 92a:35041 

Martinez-Maurica, Javier (with Navarro, S.) p-adic Ascoli theorems. 92¢:46148 

Meise, Reinhold see Braun, Riidiger W.; et al., 92b:46119 

Michor, Peter W. see Kriegl, A., 92a:58009 

Nagnibida, N.I. see Gorgula, V. 1.; et al., 92j:30003 

Napalkov, V. V. (with Rudakov, I. A.) A convolution operator in the space of real analytic 
functions. (Russian) 92j:47054 

Nastasiev, P. P. see Gorgula, V. I.; et al., 92j:30003 

Navarro, S. see Martinez-Maurica, Javier, 92e:46148 and De Grande-De Kimpe, Nicole, 
92h:46113 

Nawrocki, M. Gleason-type decompositions for H®(B,) and Lumer’s Hardy algebra of the 
ball. 92m:46076 

Neeb, Karl-Hermann Objects dual to subsemigroups of groups. 92k:22003 

Neugebauer, C. J. see Johnson, Raymond L., 92c:42019 

Ngembo, Ngimbi Approximation property and strict spaces of continuous functions. 
92¢:46074 

Oskolkov, V. A. A criterion for a quasipower basis and its application. (Russian) 92¢:30053 

Plesniak, Wieslaw Applications of Markov’s inequality in differential analysis. (Polish) 
92:26043 

Portenier, Claude see Anger, Bernd, 92m:28001 

Rudakov, I. A. see Napalkov, V. V., 92j:47054 

Sanchez Ruiz, Luis M. (with Ferrer Villanueva, José R.) Conditions for a topological space 
to be a real-analytic space or a y-space. (Spanish. English summary) (see 92b:00044) 

— (with Ferrer Villanueva, José R.) On the theorems of Nachbin and Shirota. (Spanish. 
English summary) (see 92b:00044) 

— (with Lépez Pellicer, M.) On linearly topologized spaces and y-spaces. 92k:46011 

Scheve, Manfred Isomorphy classes of spaces of holomorphic functions on open polydiscs in 
dual power series spaces. 92j:46064 

Sharp, Bernice see Eyland, Roger, 92h:46060 

Stephani, Irmtraud Entropy and the approximation of continuous functions. 92m:41048 

Vogt, Dietmar see Braun, Riidiger W.; et al., 92b:46119 

Wojtaszezyk, P. see Kalton, N. J.; et al., 92f:46004 

Yang, Da Chun Weak H? spaces over open subsets of R”. (Chinese. English summary) 
92m:42022 


46E15 Banach spaces of continuous, differentiable or analytic 
functions 


Bayod, José Manuel (with Masa, M. Concepcién) Chebyshev coefficients in continuous 
function spaces. (Spanish. English summary) (see 92b:00044) 

Benitez Trujillo, Francisco @(K,R) spaces, with K the zero-dimensional compactification of 
a. (Spanish. English summary) (see 92b:00044) 

Blasco De La Cruz, Oscar (with De Souza, Geraldo Soares) Spaces of analytic functions on 
the disc where the growth of M,(F,r) depends on a weight. 92e:46051 

Boyadzhiev, L. I. On an isomorphism between two function spaces. (Bulgarian. English and 
Russian summaries) 

Brown, Leon (with Shields, A. L.) Multipliers and cyclic vectors in the Bloch space. 
92£:46022 

Carlen, Eric A. Some integral identities and inequalities for entire functions and their 
application to the coherent state transform. 92i:46025 

Cengiz, Bahattin On the isometries of the space K(u). 92j:46044 

Chang, Der-Chen E. Estimates for singular integral operators with mixed type homo- 
geneities in Hardy classes. 92¢:46022 

Cwikel, Michael (with McCarthy, John E.; Wolff, Thomas H.) Interpolation between 
weighted Hardy spaces. 92m:46033 

De Souza, Geraldo Soares see Blasco De La Cruz, Oscar, 92e:46051 

Feldman, Mark Mean oscillation, weighted Bergman spaces, and Besov spaces on the 
Heisenberg group and atomic decompositions. 92j:46045 

Gu, Dangsheng Bergman projections and duality in weighted mixed-norm spaces of analytic 
functions. 92m:46034 

Gurarii, V.I. Linear spaces composed of everywhere nondifferentiable functions. (Russian) 
92j:46046 

Hahn, Kyong T. (with Youssfi, El Hassan) -harmonic Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C”. 92j:46047a 


FUNCTIONAL ANALYSIS 


1992 724 


— (with Youssfi, El Hassan) Erratum to: “#-harmonic Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C” ”. 92j:46047b 

Hoffman, Kenneth M. * Banach spaces of analytic functions. 924:46066 

Khanin, L.G. Kantorovich-Rubinstein norm and its application in the theory of Lipschitz 
spaces. 92i:46026 

Kislyakov, S. V. (with Xu, Quan Hua) Sur l’interpolation des espaces H?. (English 
summary) [On the interpolation of H?-spaces] 92g:46022 

Ligocka, Ewa Corrigendum to the paper: “On the reproducing kernel for harmonic 
functions and the space of Bloch harmonic functions on the unit ball in R"” [Studia Math. 
87 (1987), no. 1, 23-32; MR 89f:46054a]. 

La, Shan Zhen (with Yang,Da Chun) Some characteristics of Hardy spaces associated with 
a class of block spaces. (Chinese. English summary) 92m:46035 

Lutsenko, V. I. (with Yulmukhametov, R.S.) Generalizations of the Wiener-Paley theorem 
to functionals in Smirnov spaces. (Russian) 92j:46048 

Mamurov, K. Completion of the space of piecewise-constant functions with respect to the 
uniform metric. (Russian. Tajiki summary) 924:46067 

Masa, M. Concepcién see Bayod, José Manuel, (92b:00044) 

Mateu, Joan (with Orobitg, Joan) Lipschitz approximation by harmonic functions and 
some applications to spectral synthesis. 92e:46052 

McCarthy, John E. see Cwikel, Michael; et al., 92m:46033 

Mehanna, A. A. W. see Singh, Dinesh, 92i:46027 

Mohapl, Jaroslav The Radon measures as functionals on Lipschitz functions. 92g:46023 

Nara, Chié Uniqueness of the predual of the Bloch space and its strongly exposed points. 
92c:46023 

Oates, David A sequentially convex hull. 924:46068 

Orobitg, Joan see Mateu, Joan, 92¢:46052 

Osipenko, K. Yu. (with Stesin, M.I.) Recovery problems in Hardy and Bergman spaces. 
(Russian) 92¢:46053 

Riprich, Wolfgang Some functional spaces in complex analysis. (see 92i:00023) 

Shields, A. L. see Brown, Leon, 92f:46022 

Singh, Dinesh (with Mehanna, A. A. W.) Invariant subspace of functions in H' with real 
Taylor coefficients. 92i:46027 

Stesin, M. I. see Osipenko, K. Yu., 92¢:46053 

Tabacco Vignati, Anita Complex interpolation of infinite families of Hardy classes. 
92m:46036 

Vodop’yanov, S. K. Weighted L, potential theory on homogeneous groups. (Russian) 
92i:46028 

Weisz, Ferenc Interpolation between two-parameter martingale Hardy spaces, the real 
method. (French summary) 92m:46037 

Wolff, Thomas H. see Cwikel, Michael; et al., 92m:46033 

Wulan, Hasi Some characteristics of Bloch spaces. (Chinese. English summary) 92h:46031 

Xu, Quan Hua see Kislyakov, S. V., 92g:46022 

Yang, Chengmin Projections P on C = C[—1, 1] which interpolate at dim(P(C)) or more 
points. 92i:46029 

Yang, Da Chun see Lu, Shan Zhen; et al., 92m:46035 

Youssfi, El Hassan see Hahn, Kyong T., 92j:46047a and 92j:46047b 

Yulmukhametov, R.S. see Lutsenko, V. I., 92j:46048 

Zhong, Xin Min Properties of the space of continuous functions on R”. (Chinese. English 
summary) 92g:46024 


Items with secondary classifications in 46E15 


Aizpuru Tomas, Antonio An extension of the theorem of Tietze and the A-property in 
C(K, X). (Spanish. English summary) (see 92b:00044) 

— see also Benitez Trujillo, Francisco, (92m:00049) 

Akeroyd, John Density of the polynomials in the Hardy space of certain slit domains. 
92j:30030 

Aleman, Alexandru On the codimension of the range of a composition operator. 92d:47042 

— Invariant subspaces with finite codimension in Bergman spaces. 92f:47025 

Amar, E. On the corona problem. 92h:32006 

Anderson, James Milne (with Fernandez, José L.; Shields, A. L.) Inner functions and cyclic 
vectors in the Bloch space. 92:46063 

Araujo, Jestis (with Martinez-Maurica, Javier) The non-Archimedean Banach-Stone 
theorem. 92b:46124 

Benitez Trujillo, Francisco (with Aizpuru Tomas, Antonio) Study of the A-property in c(X) 
when X = @(K,R). (Spanish. English summary) (see 92m:00049) 

Bonami, Aline (with Charpentier, Philippe) Comparing the Bergman and the Szegé 
projections. 92¢:32018 

Bruna, Joaquim (with Ortega, Joaquin M.) Traces on curves of Sobolev spaces of 
holomorphic functions. 92h:46038 

Bui, Huy-Qui Boundary value characterizations for weighted Hardy spaces of harmonic 
functions. 92¢:42021 

Cengiz, Bahattin On isometries of completely regular spaces of continuous functions. 
(Turkish summary) 92a:46029 

Charpentier, Philippe see Bonami, Aline, 92c:32018 

Chen, Tian Ping (with Zhang, De Zhi) A new description of H?(R") and the boundedness 
of C-Z operators on all H’(R") (p< r<1). 92¢:42012 

Ciulli, M. (with Ciulli, S.; Spearman, T. D.) Weak-star compactness and its relevance to 
analyticity problems. 92f:46091 

Ciulli, S. see Ciulli, M.; et al., 92£:46091 

Cohn, William S. Tangential characterizations of Hardy-Sobolev spaces. 92j:32009 

Coifman, Ronald R. (with Lions, Pierre-Louis; Meyer, Yves; Semmes, Stephen) Compacité 
par compensation et espaces de Hardy. [Compensated compactness and Hardy spaces] 
92f:35014 

Colzani, Leonardo (with Travaglini, Giancarlo) Hardy-Lorentz spaces and expansions in 
eigenfunctions of the Laplace-Beltrami operator on compact manifolds. 92c:58142 

Cumenge, Anne Comparaison des projecteurs de Bergman et Szegé et applications. 
[Comparison of Bergman and Szegé projectors, and applications] 92c:32027 

Deville, Robert (with Godefroy, Gilles; Zizler, V. E.) The three space problem for smooth 
partitions of unity and C(K) spaces. 92i:46014 





725 1992 


D’yakonov, K.M. Moduli and arguments of analytic functions from subspaces in H? that 
are invariant under the backward shift operator. (Russian) 92:30049 

— Entire functions of exponential type and model subspaces in H?. (Russian. English 
summary) 92h:30072 

Fernandez, José L. see Anderson, James Milne; et al., 92f:46063 

Garling, D. J. H. Hardy martingales and the unconditional convergence of martingales. 
92k:60095 

Godefroy, Gilles see Deville, Robert; et al., 92i:46014 

Hoskins, Roy Frank (with de Sousa Pinto, J.) A nonstandard realization of the J. S. Silva 
axiomatic theory of distributions. 92j:46066 

Hu, Zhang Jian The BMO, and Bloch functions on two-connected planar domains. 
(Chinese. English summary) 92k:30052 

Hunziker, Herbert (with Jarchow, Hans; Mascioni, Vania) Some topologies on the space of 
analytic self-maps of the unit disk. 92k:47059 

Jarchow, Hans see Hunziker, Herbert; et al., 92k:47059 

Kim, Yong Chan (with Kwon, Ern Geun) On the boundary behavior and Taylor coefficients 
for mixed norm spaces D?4. 92h:42030 

Kobayashi, Shoji! On subordination for BMOA. 924:30022 

— Subordination for BMOA. 924:30023 

Kokilashvili, V.M. Fractional integrals on curves. (Russian. English summary) 92f:26011 

Korenblum, Boris Transformation of zero sets by contractive operators in the Bergman 
space. 92a:30049 

Korobeinik, Yu. F. Nontrivial expansions of zero in absolutely representing systems. 
Applications to lution operators. (Russian) 92m:34024 

Kovalév, P.1. Parametrizable subsets of Banach spaces. (Russian) 92j:46036 

Kwon, Ern Geun see Kim, Yong Chan, 92h:42030 

Lions, Pierre-Louis see Coifman, Ronald R.; et al., 92f:35014 

Lou, Zeng Jian Multipliers of H?, G? and Bloch spaces. 92j:30052 

Martinez-Maurica, Javier see Araujo, Jestis, 92b:46124 

Marzuq, Maher M. H. Linear functionals on some weighted Bergman spaces. 92h:30073 

Mascioni, Vania see Hunziker, Herbert; et al., 92k:47059 

Matache, Valentin Composition operators on H? of the upper half-plane. 92k:47063 

Meyer, Yves see Coifman, Ronald R.; et al., 92f:35014 

Nakazi, Takahiko Commuting dilations and uniform algebras. 92b:46080 

Norvidas, S.T. Differential inequalities in Banach spaces of entire functions. I. (Russian. 
English and Lithuanian summaries) 92¢:46084 

Oleinik, V. L. (with Vuorinen, Matti) Embedding theorems for Bergman spaces in 
quasiconformal balls. 92h:30050 

Onneweer, C. W. (with Quek, T.S.) Multipliers on weighted Hardy spaces over locally 
compact Vilenkin groups. II. 92f:43006 

Ortega, Joaquin M. see Bruna, Joaquim, 92h:46038 

Osipenko, K. Yu. (with Stesin, M. 1.) Widths of the Hardy class H2 in the n-dimensional 
ball. (Russian) 92a:41015 

Paulsen, Vern I. Rigidity theorems in spaces of analytic functions. 92d:46136 

Peetre, Jaak (with Zhang, Gen Kai) Projective structures on an annulus and Hankel forms. 
92i:47027 

Pérez-Gonzalez, Fernando On quotients of bounded analytic functions. (see 92b:00044) 

Popescu, Gelu von Neumann inequality for (B(#)"),. 92k:47073 

Quek, T.S. see Onneweer, C. W., 92f:43006 

Ramey, Wade (with Ullrich, David C.) Bounded mean oscillation of Bloch pull-backs. 
92i:32004 

Semmes, Stephen see Coifman, Ronald R.; et al., 92f:35014 

Shamoyan, F. A. Diagonal mapping and problems of representation in anisotropic spaces of 
functions that are holomorphic in a polydisk. (Russian) 92h:46077 

Shen, Xie Chang (with Wen, Ming) Biorthogonal bases and multiple interpolation in 
weighted Hardy spaces. 92f:42025 

Shields, A. L. see Anderson, James Milne; et al., 92f:46063 

Shiga, Hiroshige Hardy spaces and BMO on Riemann surfaces. 92j:30032 

de Sousa Pinto, J. see Hoskins, Roy Frank, 92j:46066 

Spearman, T. D. see Ciulli, M.; et al., 92f:46091 

Stesin, M.I. see Osipenko, K. Yu., 92a:41015 

Szalay, I. (with Tanovié-Miller, Naza) On Banach spaces of absolutely and strongly 
convergent Fourier series. 92b:42007 

Tabacco Vignati, Anita Some techniques for the characterization of intermediate spaces. 
92c:46080 

Tanovi¢é-Miller, Naza see Szalay, 1., 92b:42007 

Tolokonnikov, V. A. Algebras of Toeplitz operators in spaces of smooth functions. (Russian) 
92h:47032 

Travaglini, Giancarlo see Colzani, Leonardo, 92c:58142 

Ullrich, David C. Maximal operators in Besov spaces and bounded holomorphic functions 
in the ball. 92a:32006 

— see also Ramey, Wade, 92i:32004 

Vakarchuk, S. B. Best polynomial approximations in some Banach spaces of analytic 
functions. (Russian. English summary) 92d:30027 

Vasin, A. V. Projections on L?-spaces of polyanalytic functions. (Russian. English 
summary) 92¢:46060 

Vinogradov, S. A. The Blaschke condition and sets of uniqueness for some subclasses of 
Hardy spaces. (Russian. English summary) 92k:30055 

Vuorinen, Matti see Oleinik, V. L., 92h:30050 

Weisz, Ferenc On duality problems of two-parameter martingale Hardy spaces. (French 
summary) 92c:60070 

Wen, Ming see Shen, Xie Chang; et al., 92f:42025 

Wojtaszczyk, P. On multipliers into Bergman spaces and Nevanlinna class. 92e:30020 

Xiao, Jie! Bounded projection, harmonic conjugation and completeness of {(1 — @jz)~*~'} 
in L?(g). (Chinese summary) 92f:30066 

Xu, Quan Hua Analytic functions with values in lattices and symmetric spaces of measur- 
able operators. 92g:46036 

Yamashita, Shinji A norm for a mean Lipschitz space of holomorphic functions in the disk. 
92d:30024 





Zhang, De Zhi see Chen, Tian Ping; et al., 92c:42012 


46E Linear function spaces and their duals 


Zhang, Gen Kai Norm inequalities in weighted Bergman spaces. 92k:32014 

— see also Peetre, Jaak, 92i:47027 

Zhu, Ke He Functions of bounded mean oscillation in the Bergman metric on bounded 
symmetric domains. 92j:32013 

— Duality of Bloch spaces and norm convergence of Taylor series. 92h:30004 

Zhu, Xue Xian Atomic composition of H?(R” x --- x R"), 0<p<1.(Chinese) 92i:42011 

— Atomic decomposition of H?(R x --- x R). (Chinese. English summary) 92i:42012 

Zinsmeister, Michel Espaces de Hardy et domaines de Denjoy. [Hardy spaces and Denjoy 
domains] 92c:30041 

Zizler, V. E. see Deville, Robert; et al., 92i:46014 


46E20 Hilbert spaces of continuous, differentiable or analytic 
functions 


Aleman, Alexandru Hilbert spaces of analytic functions between the Hardy and the 
Dirichlet space. 92i:46030 

de Branges, Louis A construction of Krein spaces of analytic functions. 92k:46031 

Brown, Leon Invertible elements in the Dirichlet space. 92e:46054 

Chojnacki, Wojciech On some functionals on Bergman spaces. (Russian summary) 
92b:46027 

McCarthy, John E. Weighted Bergman spaces. (see 92i:46001) 

Parfenov, O.G. On the properties of embedding operators of some classes of analytic 
functions. (Russian) 92k:46032 

Putinar, Mihai On invariant subspaces of several variable Bergman spaces. 92f:46023 

Singh, Dinesh see Singh, U. N., 92b:46028 

Singh, U. N. (with Singh, Dinesh) On a theorem of de Branges. 92b:46028 

Watanabe, Shigeru Hilbert spaces of analytic functions and the Gegenbauer polynomials. 
92i:46031 


Items with secondary classifications in 46E20 

Akeroyd, John (with Khavinson, Dmitry; Shapiro, Harold S.) Remarks concerning cyclic 
vectors in Hardy and Bergman spaces. 92h:47034 

Athavale, Ameer Some operator-theoretic calculus for positive definite kernels. 92j:47050 

Dym, Harry On reproducing kernels and the continuous covariance extension problem. 
92b:42014 

Hallenbeck, D. J. (with Samotij, Krzysztof) Radial growth of functions in Bergman-type 
spaces. 92k:30002 

Khavinson, Dmitry see Akeroyd, John; et al., 92h:47034 

Kiselman, Christer O. A study of the Bergman projection in certain Hartogs domains. 
92g:32050 

Michel, Joachim An asymptotic formula for the Bergman projection on a certain class of 
domains in C. 92h:30071 

Pap, Endre The space of the generalized Dirichlet series of several complex variables on a 
polydisc. (Serbo-Croatian summary) 924:32006 

Rzadkowski, Grzegorz On an angle between two rings. 92a:30008 

Samotij, Krzysztof see Hallenbeck, D. J., 92k:30002 

Shapiro, Harold S. see Akeroyd, John; et al., 92h:47034 

Skwarczytiski, Maciej The punctured plane: alternating projections and L?-angles. 
92k:30067 

Stroethoff, Karel (with Zheng, De Chao) Toeplitz and Hankel operators on Bergman spaces. 
92e:47044 

Vasilenko, V. A. The best finite-dimensional LI]-approximations. 92i:41037 

Zheng, De Chao see Stroethoff, Karel, 92e:47044 


46E22 Hilbert spaces with reproducing kernels (= [proper] 
functional Hilbert spaces) 


Alpay, Daniel Some reproducing kernel spaces of continuous functions. 92k:46033 

— Some remarks on reproducing kernel Krein spaces. 92m:46038 

— On linear combinations of positive functions, associated reproducing kernel spaces and a 
non-Hermitian Schur algorithm. 92m:46039 

Chen, Guan Rong see de Figueiredo, Rui J. P., 92c:46024 

Davis, B. Mark (with McCarthy, John E.) Multipliers of de Branges spaces. 92k:46034 

Dym, Harry On reproducing kernel spaces, J unitary matrix functions, interpolation and 
displacement rank. 92f:46024 

de Figueiredo, Rui J. P. (with Chen, Guan Rong) Optimal interpolation on a generalized 
Fock space of analytic functions. 92¢:46024 

Lotto, B. A. (with Sarason, Donald) Multiplicative structure of de Branges’s spaces. 
92k:46035 

McCarthy, John E. see Davis, B. Mark, 92k:46034 

Sarason, Donald see Lotto, B. A., 92k:46035 


Items with secondary classifications in 46E22 


de Branges, Louis A construction of Krein spaces of analytic functions. 92k:46031 

Chen, So-Chin A remark on the uniform extendability of the Bergman kernel function. 
92h:32043 

Dzhuraev, A. D. Holomorphic vectors in C? and kernel matrices. (Russian) 92h:32029 

Georgijevi¢é, Dugan R. On operator valued multiple interpolation. 92h:47018 

Hahn, Kyong T. (with Youssfi, El Hassan) Mébius invariant Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C”. 92m:47051 

Kanemarnu, Tadayoshi Invariants related to the Bergman kernel function in matrix space. 

Karapetyan, A. O. Integral representations of weighted spaces of functions that are 
holomorphic in tube domains. (Russian. English and Armenian summaries) 92g:32008 

Kas’yanov, E. Yu. (with Kopaev, A. V.) On the solution of the Dirichlet problem for some 
multidimensional domains by the method of reproducing kernels. (Russian) 

Kiselman, Christer O. A study of the Bergman projection in certain Hartogs domains. 
92g:32050 

Kopaev, A. V. see Kas’yanov, E. Yu. 

Krok, Anna (with Mazur, Tomasz) The Kaehlerian structures and reproducing kernels. 
92m:32013 





46E22 


Mazur, Tomasz see Krok, Anna, 92m:32013 

Mitchell, Josephine (with Sampson, G.) Two-sided L'-estimates for Szegé kernels on 
classical domains. 92d:32045 

Nashed, M. Zuhair (with Walter, Gilbert G.) General sampling theorems for functions in 
reproducing kernel Hilbert spaces. 92h:41063 

Parfenov, O.G. On the properties of embedding operators of some classes of analytic 
functions. (Russian) 92k:46032 

Pasternak-Winiarski, Zbigniew On weights which admit the reproducing kernel of Bergman 
type. 92m:32043 

Sampson, G. see Mitchell, Josephine, 924:32045 

Seip, Kristian Reproducing formulas and double orthogonality in Bargmann and Bergman 
spaces. 92¢:44006 

Szafraniec, Franciszek Hugon A RKHS of entire functions and its multiplication operator. 
An explicit example. 92a:47034 

Walter, Gilbert G. see Nashed, M. Zuhair, 92h:41063 

Youssfi, El Hassan see Hahn, Kyong T., 92m:47051 


46E25 Rings and algebras of continuous, differentiable or analytic 
functions {For Banach function algebras, see 46J10, 
46J15.} 


Bistrém, Peter (with Bjon, Sten; Lindstrém, Mikael) Function algebras on which homomor- 
phisms are point evaluations on sequences. 92k:46036 

Bjon, Sten see Bistrém, Peter; et al., 92k:46036 

Cengiz, Bahattin On invariant properties of X under isomorphisms of Co(X). (Turkish 
summary) 924:46069 

— On isometries of completely regular spaces of continuous functions. (Turkish summary) 
92a:46029 

Gonzalez, Manuel (with Gutiérrez del Alamo, Joaquin M.) Compact and weakly compact 
homomorphisms between algebras of differentiable functions. 

Gutiérrez del Alamo, Joaquin M. see Gonzalez, Manuel 

Henriksen, Melvin Rings of continuous functions from an algebraic point of view. 
92g:46025 

Jarosz, Krzysztof Automatic continuity of separating linear isomorphisms. 92j:46049 

Lindstrém, Mikael see Bistrém, Peter; et al., 92k:46036 

Matsuoka, Katsuo Interpolation between some Banach spaces in generalized harmonic 
analysis: the real method. 92f:46025 

Prieto Yerro, Angeles Strict continuous homomorphisms on spaces of bounded holomor- 
phic functions. 

Valov, Vesko M. Linear topological classifications of certain function spaces. 92¢:46055 


Items with secondary classifications in 46E25 


Arkhangel'skii, A. V. * Topological function spaces. 92i:54022 

Bakhtin, V. I. Weierstrass preparation theorem for finitely smooth modules. 92d:58013 

Bistrém, Peter (with Bjon, Sten; Lindstrém, Mikael) Homomorphisms on some function 
algebras. 92g:46065 

Bjon, Sten see Bistrém, Peter; et al., 92g:46065 

Blei, Ron C. Fractional tensor products and P & M maps. 92m:46108 

Byun, H. Linda (with Watson, Saleem) Prime and maximal ideals in subrings of C(X). 
92h:54025 

Cengiz, Bahattin On measure homeomorphisms of the disc. (Turkish summary) 92i:46060 

Chatterjee, Dipak Restrictions of convex subsets of C(X). 

Deutsch, Frank (with Li, Wu; Park, Sung Ho) Tietze extensions and continuous selections 
for metric projections. 92b:54037 

Fernandez-Ferreirés Erviti, Pilar Maximal ideals in the non-Archimedean space C(X). 
(Spanish) 92b:46125 

Gonzalez, Manuel (with Gutiérrez del Alamo, Joaquin M.) Compact and weakly compact 
homomorphisms between algebras of differentiable functions. 92j:46095 

Gutiérrez del Alamo, Joaquin M. Homomorphisms between algebras of differentiable 
functions in Banach spaces. (Spanish. English summary) (see 92b:00044) 

— see also Gonzalez, Manuel, 92):46095 

(Hoksbergen, R. A.M.) see Arkhangel’skii, A. V., 92i:54022 

Ivanov, O. V. Generalized analytic functions and analytic subalgebras. (Russian. Ukrainian 
summary) 92¢e:46111 

Jaramillo, Jestis A. Multiplicative functionals on algebras of differentiable functions. 

Kurmakaeva, E.Sh. (with Shkarin, S. A.) On the projectivity of some modules over 
polynormed algebras of continuous functions. (Russian) 92b:46075 

Li, Wu see Deutsch, Frank; et al., 92b:54037 

Lindstrém, Mikael see Bistrém, Peter; et al., 92¢:46065 

McAfee, R. Preston (with Reny, Philip J.) A Stone-Weierstrass theorem without closure 
under suprema. 92c¢:41033 

Mokhova, L. N. On a connection between a generalization of the Stone-Weierstrass theorem 
and the completeness of a uniform space. (Russian) (see 92g:47001) 

Ouyang, Guang Zhong Properties and multipliers of function algebras that are intersections 
of Lipschitz spaces and L(G). (Chinese) 92h:43009 

Park, Sung Ho see Deutsch, Frank; et al., 92b:54037 

Reny, Philip J. see McAfee, R. Preston, 92c:41033 

Sejeeni, Fowzi Ahmad Approximation in function modules. 92b:41057 

Shkarin, S. A. see Kurmakaeva, E. Sh., 92b:46075 

Wada, Junzo see Yamaguchi, Shinya, 92a:46058 

Watson, Saleem see Byun, H. Linda, 92h:54025 

Yamaguchi, Shinya (with Wada, Junzo) On peak sets for certain function spaces. II. 
92:46058 


46E27 Spaces of measures [see also 28A33, 46Gxx] 


Avallone, Anna The topological dual of Lo. 92k:46037 
Khanin, L.G. L. V. Kantorovich-G. Sh. Rubinshtein duality for Lipschitz spaces that can 
be defined by differences of arbitrary order. (Russian) 92b:46029 


FUNCTIONAL ANALYSIS 


Weis, Lutz W. Sublattices of 4(X) isometric to M[0, 1]. 92h:46032 

Winkler, Gerhard Simplexes of measures with closed extreme boundary and presentability 
of Hausdorff spaces. 92¢:46025 

Wojtaszczyk, P. Some remarks about the space of measures with uniformly bounded partial 
sums and Banach-Mazur distances between some spaces of polynomials. 92m:46040 

Zhuraev, T. F. The space of all probability measures with finite carriers is homeomorphic to 
an infinite-dimensional linear space. (Russian) 92c:46026 


Items with secondary classifications in 46E27 


Babu, Gutti Jogesh A note on Dubins’ theorem. 92c:60002 

Fedorchuk, V. V. Affine selections for mappings of spaces of probability measures. (Russian) 
92a:54019 

Filter, Wolfgang Hypercomplete Riesz spaces. 92g:46006 

— Hellinger-type integrals in Riesz spaces. 92g:46051 

Jefferies, Brian Summability in spaces of set functions. 92k:46075 

Khanin, L. G. Kantorovich-Rubinstein norm and its application in the theory of Lipschitz 
spaces. 92i:46026 

Mohapl, Jaroslav The Radon measures as functionals on Lipschitz functions. 92g:46023 


46E30 Spaces of measurable functions (L’-spaces, Orlicz spaces, 
K6the function spaces, Lorentz spaces, rearrangement 
invariant spaces, ideal spaces, etc.) 


Alherk, Ghassan On the non-/) and locally uniformly non-/{) properties, and /' copies in 
Musielak-Orlicz spaces. 92¢:46056 

Anantharaman, R. The sequence of Rademacher averages of measurable sets. 92d:46070 

Ando, Tsuyoshi (with Nakamura, Yoshihiro) Some extremal problems related to majoriza- 
tion. 92f:46026 

Astashkin, S. V. Symmetric spaces with trivial Boyd indices. (Russian) (see 92d:28002) 

Avallone, Anna Spaces of measurable functions. I. 92i:46032 

Balder, Erik J. On uniformly bounded sequences in Orlicz spaces. 92a:46030 

Basile, Achille A remark on a Fréchet-Smulian criterion. (Russian summary) 924:46071 

Berezhnoi, E.1. Differential bases and symmetric spaces. (Russian) 924:46072 

Berkolaiko, M. Z. Convexity and concavity of Banach ideal spaces, and embedding 
theorems. (Russian) 92¢:46027 

Braverman, M. Sh. The Rosenthal inequality and characterization of the spaces Lp. 
(Russian) 92k:46038 

Carothers, N. L. (with Dilworth, S. J.) Some Banach space embeddings of classical function 
spaces. 92¢:46028 

— (with Dilworth, S. J.; Lennard, Chris; Trautman, D. A.) A fixed point property for the 
Lorentz space Ly ;(4). 92b:46030 

— (with Dilworth, S. J.; Trautman, D. A.) On the geometry of the unit spheres of the 
Lorentz spaces Ly,;. 92k:46039 

Chen, Guang Rong (with Meng, Bo Qin) Linear operator interpolation in Orlicz spaces. 
(Chinese. English summary) 

— (with Meng, Bo Qin) Interpolation properties of L)(M) spaces. (Chinese. English 
summary) 92h:46033 

Chen, Shu Tao (with Yu, Xin Tai) Smooth points of Orlicz spaces. 92j:46050 

Cui, Yun An (with Wang, Ting Fu) The roughness of the norms on Orlicz spaces. 
92k:46040 

Dilworth, S. J. see Carothers, N. L.; et al., 92b:46030; 92c:46028 and 92k:46039 

Dinh Quang Lw’u A short proof of biting lemma. 92a:46031 

Edgar, Gerald A. (with Sucheston, Louis) A note on weak inequalities in Orlicz and Lorentz 
spaces. (see 92g:41001) 

Fernandez, D. L. (with Garcia, J.B.) Interpolation of Orlicz-valued function spaces and 
U.M.D. property. 92g:46026 

Fernandez, Roseli Characterization of the dual of an Orlicz space. 924:46073 

Filippov, V. 1. Subsystems of the Faber-Schauder system in function spaces. (Russian) 
92}:46051 

Finol, C. E. A note on the moduli of convexity and smoothness of uniformly convex Orlicz 
spaces. (Spanish summary) 92f:46027 

— (with Maligranda, Lech) On a decomposition of some functions. 92f:46028 

Firlej, Barbara A Bernstein-Steckin inequality in Marcinkiewicz-Orlicz spaces. 92¢:46029 

Fofana, Ibrahim Etude d’une classe d’espace de fonctions contenant les espaces de Lorentz. 
[Study of a class of function spaces containing Lorentz spaces] 92b:46031 

Fraenkel, L. E. A space of slowly decreasing functions with pleasant Fourier transforms. 
92k:46041 

Garcia, J. B. see Fernandez, D. L., 92g:46026 

Garcia-Cuerva, José General endpoint results in extrapolation. 924:46074 

Ghigsa, Dorin Complementary functions in the sense of Young. 92g:46027 

Girardi, Maria Weak vs. norm compactness in L;: the Bocce criterion. 92d:46075 

Guo, Wei Chun (with Tang, Yao Sheng) Properties of block generated function spaces. 
(Chinese. English summary) 92m:46041 

He, Miao Hong see Ye, Yi Ning; et al., 92m:46043 

Hudzik, Henryk Lower and upper estimations of the modulus of convexity in some Orlicz 
spaces. 92k:46042 

Kamitiska, Anna (with Turett, Barry) Type and cotype in Musielak-Orlicz spaces. 
92£:46029 

— Some remarks on Orlicz-Lorentz spaces. 92h:46034 

— Uniform convexity of generalized Lorentz spaces. 92f:46030 

Kamuntavitius, Darius Category properties of a set of nonuniqueness points in the space Ly. 
(Russian) 92b:46032 

Kasperski, Andrzej The modular spaces of multifunctions. II. 92¢:46057 

Kilmer, Shelby J. (with Kozlowski, Wojciech M.; Lewicki, Grzegorz) Best approximants in 
modular function spaces. 92¢:46030 

Kolyada, V.I. Estimates of rearrangements and embedding theorems. 92¢:46031 

Kondakov, V. P. Bases in complemented subspaces of function spaces. (Russian) 924:46076 

Koziowska, Grazyna Rearrangements of functions in some function spaces. 92g:46028 





727 1992 


Kozlowski, Wojciech M. (with Lewicki, Grzegorz) On polynomial approximation in 
modular function spaces. 92¢:46033 

— see also Kilmer, Shelby J.; et al., 92¢:46030 

Krygin, A. V. Extreme points of completely symmetric subsets in L; + L... (Russian. Uzbek 
summary) 92a:46032 

Kuzin-Aleksinskii, S. A. A criterion for weak compactness of the embedding of symmetric 
spaces. (Russian) (see 92m:46002) 

Lennard, Chris see Carothers, N. L.; et al., 92b:46030 

Lewicki, Grzegorz On a theorem of S. N. Bernstein and its application in modular function 
spaces. 92¢:46032 

— see also Kilmer, Shelby J.; et al., 92c:46030 and Kozlowski, Wojciech M., 92c:46033 

Love, E. Russell Hardy’s inequality for Orlicz-Luxemburg norms. 924:46077 

Maleev, R. P. (with Troyanski, S. L.) Smooth norms in Orlicz spaces. 92j:46052 

Maligranda, Lech (with Wnuk, Witold) Landau type theorem for Orlicz spaces. 92h:46035 

— see also Finol, C. E., 92£:46028 

Mekler, A. A. Identification in classes of principal symmetric ideals. (Russian) (see 
92g:47001) 

— Identification conditions in some classes of Marcinkiewicz spaces. (Russian) (see 
92m:46002) 

Meng, Bo Qin see Chen, Guang Rong; et al., 92h:46033 

Miamee, A. G. The inclusion L?(uz) C L4(v). 924:46078 

Nakamura, Akihiro Conditional bases in L?[—2, 2]. 92h:46036 

Nakamura, Yoshihiro see Ando, Tsuyoshi, 92f:46026 

Nevskii, M. V. On some properties of the approximation and difference characteristics of 
functions in Orlicz classes. (Russian) (see 92m:46002) 

Nguyén Hong Thai (with Zabreiko, P. P.) Ideal spaces of vector functions and their 
applications. (see 92m:46004) 

Nikolova, Lyudmila I. On the complex method of interpolation for family of Banach 
lattices, some classes of operators. 92m:46042 

Novikov, I. Ya. Sequences of characteristic functions in symmetric spaces. (Russian) (see 
92d:28002) 

Nowak, Marian Mixed topology on normed function spaces. I, II. (Russian summary) 
92¢:46058 

Pichugov, S. A. Separability of sets by a hyperplane in L,. (Russian. English summary) 
92k:46043 

Pick, LuboS Maximal inequalities and imbeddings in weighted Orlicz spaces. (see 
92m:46004) 

Platonov, S.S. Invariant subspaces in some function spaces on the group of motions in the 
Euclidean plane. (Russian) 92f:46031 

Plichko, A. N. (with Popov, M. M.) Symmetric function spaces on atomless probability 
spaces. 92f:46032 

Pluciennik, Ryszard Representation of additive functionals on nonsolid Kéthe spaces. 
92c:46034 

— see also Ye, Yi Ning; et al., 92m:46043 

Popov, M. M. see Plichko, A. N., 92f:46032 

Rao, M. M. (with Ren, Chong Dao) * Theory of Orlicz spaces. 92¢:46059 

Raynaud, Yves Some remarks on ultrapowers and superproperties of the sum and interpola- 
tion spaces of Banach spaces. 92k:46044 

Ren, Chong Dao see Rao, M. M., 92e:46059 

Ruiz, César On a class of universal Orlicz function spaces. 924:46079 

Sagher, Yoram (with Zhou, Ke Cheng) On an inequality of Kahane. 92j:46053 

Seménov, E. M. (with Shteinberg, A.M.) The Orlicz property of symmetric spaces. 
(Russian) 924:46080 

Sharan, Lalit Kumar (with Tiwari, Purusotam) On transformation of bounded-convergent 
functions. 

Shteinberg, A. M. see Seménov, E. M., 92d:46080 

Stoitiski, Stanislaw On convergence of a sequence of functions with respect to the (/, g)- 
mean in measure. 92b:46033 

Sudrez Granero, Antonio A-property in Orlicz spaces. (Russian summary) 924:46081 

Sucheston, Louis see Edgar, Gerald A., (92g:41001) 

Sun, Hui Ying see Wu, Cong Xin, 92¢:46035 

Tang, Yao Sheng see Guo, Wei Chun; et al., 92m:46041 

Tiwari, Purusotam see Sharan, Lalit Kumar 

Trautman, D. A. see Carothers, N. L.; et al., 92b:46030 and 92k:46039 

Trigub, R.M. A formula for the K-functional of a couple of spaces of functions of several 
variables. (Russian) (see 92m:46002) 

Troyanski, S. L. see Maleev, R. P., 92j:46052 

(Trzeciak, Jerzy) see Kolyada, V. 1., 92c:46031 

Turett, Barry see Kamirtiska, Anna, 92f:46029 

Vasin, A. V. Projections on L?-spaces of polyanalytic functions. (Russian. English 
summary) 92¢:46060 

Wang, Ting Fu Some geometric properties of Orlicz spaces. (see 92m:46004) 

— see also Cui, Yun An, 92k:46040 

Wauk, Witold see Maligranda, Lech, 92h:46035 

Wronicz, Zygmunt On equivalence of spline bases in Lp, spaces. (Russian summary) 
92b:46034 

Wau, Cong Xin (with Sun, Hui Ying) On the A-property of Orlicz space Ly. 92¢:46035 

Ye, Yi Ning (with He, Miao Hong; Pluciennik, Ryszard) P-convexity and reflexivity of 
Orlicz spaces. 92m:46043 

Yu, Xin Tai see Chen, Shu Tao, 92j:46050 

Zabreiko, P. P. see Nguyén Hong Thai, (92m:46004) 

Zhou, Ke Cheng see Sagher, Yoram, 92j:46053 

Zima, Mirostawa On a compactness criterion in the space L?([0, 00), m(t)). (Russian and 
Polish summaries) 92f:46033 


Items with secondary classifications in 46E30 
Abbott, Catherine A. (with Bator, Elizabeth M.; Bilyeu, Russell G.; Lewis, Paul W.) Weak 
precompactness, strong boundedness, and weak complete continuity. 92b:46047 


Abramovich, Yuri A. Operators preserving disjointness on rearrangement invariant spaces. 
92:47034 


46E Linear function spaces and their duals 


46E30 


Ainulloev, N. A sharp estimate for the second derivative in the space Ly. (Russian) 
92i:26006 

Almgren, Frederick J., Jr. (with Lieb, Elliott H.) The (non)continuity of symmetric 
decreasing rearrangement. 92k:46045 

Al-Minawi, H. (with Ayesh, S.) Best approximation in Orlicz spaces. 92b:41051 

Amrani, Allal (with Castaing, Charles; Valadier, Michel) Méthodes de troncature 
appliquées a des problémes de convergence faible ou forte dans L'. [Truncation methods 
applied to problems of weak or strong convergence in L'] 92m:49014b 

— (with Castaing, Charles; Valadier, Michel) Convergence forte dans L' impliquée par la 
convergence faible. Méthodes de troncature. (English summary) [Strong convergence in 
L' implied by weak convergence. Truncation methods] 92m:49014a 

Appell, Jiirgen (with Zabreiko, P. P.) Boundedness properties of the superposition 
operator. (Russian summary) 924:47089 

— (with Hardy, Grahame) On products of Sobolev-Orlicz spaces. 92¢:46036 

Aslanov, V. D. (with Karlovich, Yu. I.) One-sided invertibility of functional operators in 
reflexive Orlicz spaces. (Russian. English and Azerbaijani summaries) 92i:47031 

Astashkin, S. V. (with Ovchinnikov, V.I.) A functorial approach to interpolation of 
operators of weak type. (Russian) 92m:46110 

Auscher, Pascal (with Tchamitchian, Philippe) Bases d’ondelettes sur les courbes corde- 
arc, noyau de Cauchy et espaces de Hardy associés. [Wavelet bases on chord-arc curves, 
Cauchy kernel and associated Hardy spaces] 92a:42039 

Avallone, Anna The topological dual of Lo. 92k:46037 

Ayesh, S. see Al-Minawi, H., 92b:41051 

Balder, Erik J. A short proof of an existence result of V. L. Levin. (Russian summary) 
92b:49076 

— New sequential compactness results for spaces of scalarly integrable functions. 92b:46048 

Baron, Simson Complementary spaces and multipliers of double Fourier series. 92h:42027 

Bastero, Jestis (with Raynaud, Yves; Rezola, M. Luisa) An explicit expression for the K, 
functionals of interpolation between L” spaces. 92¢:46144 

Bator, Elizabeth M. see Abbott, Catherine A.; et al., 92b:46047 

Bella, Angelo More on the equality L'(u) = L},(u). 92m:28005 

Berezhnoi, E. 1. Weighted inequalities of Hardy type in general ideal spaces. (Russian) 
92k:47057 

Berkson, Earl (with Gillespie, T. A.) Transference and extension of Fourier multipliers for 
L?(T). 92a:42014 

Bilyeu, Russell G. see Abbott, Catherine A.; et al., 92b:46047 

Bloom, Steven (with Kerman, Ron) Weight structure theorems and factorization of positive 
operators. 92¢:47033 

Bonami, Aline (with Madan, Shobha) Balayage of Carleson measures and Hankel operators 
on generalized Hardy spaces. 92m:31007 

Bonet, José (with Diaz Alcaide, Juan Carlos) The problem of topologies of Grothendieck 
and the class of Fréchet T-spaces. 92j:46002 

Bordin, B. (with Garcia, J. B.) A multiplier theorem on weighted Orlicz spaces. 92k:42016 

Bourgain, Jean (with Tzafriri, L.) Embedding e in subspaces of L, for p > 2. 92h:46015 

— On the distribution of polynomials on high-dimensional convex sets. 92j:52007 

— On the restriction and multiplier problems in R>. 92m:42017 

Busch, Paul (with Quadt, Ralf) On Ruch’s principle of decreasing mixing distance in 
classical statistical physics. 92a:82076 

Bychkova, T.G. On the Calderén p-property of Banach couples. (Russian) (see 92m:46002) 

Carro, M. J. (with Cerda, Joan) Complex interpolation and L? spaces. 92j:46134 

Castaing, Charles see Amrani, Allal; et al., 92m:49014a and 92m:49014b 

Cerda, Joan see Carro, M. J., 92j:46134 

Chen, Jie Cheng A note on Carleson measures in product spaces and their applications. 
(Chinese) 92b:42024 

— (with Wang, Si Lei) Comparison between maximal function and square function on 
positively curved manifolds. 92g:58122 

Chen, Shu Tao see Khamsi, M. A.; et al., 92b:47092 

Chong, Kong Ming Spectral order preserving operators and rearrangement theorems. 
92i:47032 

Ciemnoczolowski, J. (with Matuszewska, W.; Orlicz, Wladyslaw) On some properties of 
linear operators on L*? which are continuous with respect to a modular. 92i:47033 

Colzani, Leonardo Hankel transform on Lorentz spaces. 92d:42008 

De Cicco, Virginia Lower semicontinuity for certain integral functionals on BV(Q). (Italian 
summary) 92i:49026 

Deheuvels, Paul (with Mason, David M.) A tail empirical process approach to some 
nonstandard laws of the iterated logarithm. 92e:60061 

Diaz Alcaide, Juan Carlos see Bonet, José, 92j:46002 

Doman, Malgorzata On Musielak-Orlicz sequence spaces of Fourier coefficients of 
uniformly almost periodic functions. 92¢:42003 

Emmanuele, Giovanni Gel’fand-Phillips property in the completion of the space of Pettis 
integrable functions. 92a:46037 

Firlej, Barbara (with Rempulska, L.) Approximation theorems for functions of two 
variables in L*? spaces. 92m:42014 

Garcia, J.B. see Bordin, B., 92k:42016 

Gillespie, T. A. see Berkson, Earl, 92a:42014 

Gogatishvili, A.S. (with Kokilashvili, V. M.; Krbec, Miroslav) Maximal functions in the 
classes g(L). (Russian) 92c:42018 

Goldberg, Maxim J. A functional calculus for a scalar perturbation of 8/9z. 92k:46060 

Gruenwald, Mark E. (with Wheeler, Robert F.) A strict dual representation for L;(u, X). 
92¢:46072 

Gulisashvili, A. B. Mean e-dimension of classes of functions whose spectra are contained in 
a given set. (Russian) 92h:41067 

Hardy, Grahame see Appell, Jiirgen, 92c:46036 

Heinig, Hans P. (with Maligranda, Lech) Chebyshev inequality in function spaces. 
92k:26045 

Hitczenko, Pawel A remark on the paper: “Martingale inequalities in rearrangement 
invariant function spaces” [Israel J. Math. 64 (1988), no. 3, 267-275; MR 90g:60048] by 
W. B. Johnson and G. Schechtman. 92j:60055 

Huijsmans, C. B. (with de Pagter, Ben) Disjointness preserving and diffuse operators. 
92k:47071 





46E30 


Ivanov, V.I. (with Pichugov, S. A.) Jung constants in /}-spaces. (Russian) 92¢:46016 

Jiménez Guerra, Pedro Some properties of L* spaces for functions with values in locally 
convex spaces. (Spanish) (see 92g:00024) 

(Johnson, William B.) see Hitczenko, Pawel, 92j:60055 

Jo6, Istvan On Hermite-conjugate function. 92m:33017 

Kalton, N. J. Minimal and strongly minimal Orlicz sequence spaces. 92m:46031 

— Differentials of complex interpolation processes for Kéthe function spaces. 92m:46111 

Karlovich, Yu. I. see Aslanov, V. D., 92i:47031 

Kasperski, Andrzej Modular approximation in X, 2 by a filtered family of sublinear operators 
and convex operators. 92k:47061a 

— Modular approximation in XY “ by a filtered family of “linear operators”. 92k:47061b 

Kerman, Ron see Bloom, Steven, 92c:47033 

Khamsi, M. A. (with Kozlowski, Wojciech M.; Chen, Shu Tao) Some geometrical 
properties and fixed point theorems in Orlicz spaces. 92b:47092 

Kokilashvili, V. M. see Gogatishvili, A. S.; et al., 92c:42018 

Korenovskii, A. A. The connection between mean oscillations and exact exponents of 
summability of functions. (Russian) 92b:26019 

Kovatik, Ondrej (with Rakosnik, Jiti) On spaces L?“) and W*?(), 92m:46047 

Koztowski, Wojciech M. see Khamsi, M. A.; et al., 92b:47092 

Krbec, Miroslav see Gogatishvili, A. S.; et al., 92c:42018 

Kurc, Wieslaw Characterization of a weak uniform property in Kéthe spaces of vector 
valued functions. 924:46089 

Lami ozo, E. Contractions in Orlicz spaces. (Spanish) 92b:47093 

Lennard, Chris A new convexity property that implies a fixed point property for L;. 
925:46027 

Lewis, Paul W. see Abbott, Catherine A.; et al., 92b:46047 

Lieb, Elliott H. see Almgren, Frederick J., Jr., 92k:46045 

Lin, Michael (with Sine, Robert) Contractive projections on the fixed point set of L.. 
contractions. 92h:47012 

Liskowski, Marian Separability, duality and reflexivity of Orlicz-Besov spaces. 92k:46050 

Madan, Shobha see Bonami, Aline, 92m:31007 

Magaril-Il’'yaev, G.G. Mean dimension and widths of classes of functions on the line. 
(Russian) 92j:41034 

Maligranda, Lech Interpolation of some spaces of Orlicz type. II. Bilinear interpolation. 
(Russian summary) 92¢:46079 

— see also Heinig, Hans P., 92k:26045 

Mason, David M. see Deheuvels, Paul, 92e:60061 

Matkowski, Janusz (with Swiatkowski, Tadeusz) Quasi-monotonicity, subadditive 
bijections of R,, and characterization of L’-norm. 92g:26014 

Matuszewska, W. see Ciemnoczolowski, J.; et al., 92i:47033 

Musielak, Julian On the continuity of some embeddings with respect to two-modular 
convergence. 92b:42039 

Nguyén Hong Thai see Zabreiko, P. P., 92:46040; 92a:46041 and 92m:46050 

Novikov, S. Ya. Convergence of series of independent random variables in Lp... (Russian) 
(see 92d:28002) 

Orlicz, Wiadysiaw see Ciemnoczolowski, J.; et al., 92i:47033 

Ovchinnikov, V.I. see Astashkin, S. V., 92m:46110 

de Pagter, Ben see Huijsmans, C. B., 92k:47071 

Pichugov, S. A. see Ivanov, V. I., 92c:46016 

Pluciennik, Ryszard (with Tian, Shen; Wang, Yu Wen) Nonconvex integral functionals cn 
Musielak-Orlicz spaces. 92g:46059 

— Condition of A type in Kéthe spaces of vector-valued functions. 92k:46058 

Qian, Neng Sheng On multiparameter Chacon-Ornstein theorem. 92e:47015 

Quadt, Ralf see Busch, Paul, 92a:82076 

Rakosnik, Jiti see Kovatik, Ondrej, 92m:46047 

Raynaud, Yves see Bastero, Jestis; et al., 92e:46144 

Rempulska, L. see Firlej, Barbara, 92m:42014 

Rezola, M. Luisa see Bastero, Jests; et al., 92e:46144 

Rosenthal, Haskell Paul (with Szarek, Stanislaw J.) On tensor products of operators from 
TL? to L¢. 92m:47062 

Schaefer, Helmut H. On convex hulls. 92m:46018 

(Schechtman, Gideon) see Hitczenko, Pawel, 92j:60055 

Shergin, Yu. V. see Viadimirov, D. A., 92j:46033 

Sine, Robert see Lin, Michael, 92h:47012 

Stepanov, V. D. Integral operators on the cone of monotone functions and embeddings of 
Lorentz spaces. (Russian) 92¢:47056 

Sucheston, Louis (with Szab6, Laszl6 1.) A principle for almost everywhere convergence of 
multiparameter processes. 92j:46136 

Suwalski, Cezary Some remarks on linear functionals in generalized modular spaces. 
92}:46018 

Swiatkowski, Tadeusz see Matkowski, Janusz, 92g:26014 

Szabé, Laszié I. see Sucheston, Louis, 92j:46136 

Szarek, Stanislaw J. see Rosenthal, Haskell Paul, 92m:47062 

Tchamitchian, Philippe see Auscher, Pascal, 92a:42039 

Tian, Shen see Pluciennik, Ryszard; et al., 92g:46059 

Tkebuchava, G. E. The Hardy-Littlewood maximal function and Fourier-Haar series in 
weighted function spaces. (Russian. English and Georgian summaries) 92h:42040 

Trigub, S.G. On the rate of convergence of some random series in norms of Orlicz spaces. 
(Russian. Ukrainian summary) 92k:60012 

Tzafriri, L. see Bourgain, Jean, 92h:46015 

Uryanov, P. L. Properties of functions in Gevrey classes. (Russian) 92a:42010 

Valadier, Michel see Amrani, Allal; et al., 92m:49014a and 92m:49014b 

Veksler, A. I. The integral representability of extended functionals on vector lattices and 
cones. 924:46017 

Viadimirov, D. A. (with Shergin, Yu. V.) Characterization of L? spaces in the class of 
normed vector lattices by means of the group of their isometric order automorphisms. 
(Russian. English summary) 92j:46033 

Wang, Si Lei see Chen, Jie Cheng; et al., 92g:58122 

Wang, Yu Wen see Pluciennik, Ryszard; et al., 92g:46059 

Wheeler, Robert F. see Gruenwald, Mark E., 92e:46072 


FUNCTIONAL ANALYSIS 


1992 728 


Wik, Ingemar Reverse Hélder inequalities with constant close to 1. 92g:30028 

Wisia, Marek A full description of extreme points in C(Q, L°()). 92b:46053 

Xing, Bai Fang Vector-valued inequalities with weights for potential operators. (Chinese) 
92e:42014 

Xu, Quan Hua Radon-Nikodym property in symmetric spaces of measurable operators. 
92i:46074 

Zabreiko, P. P. (with Nguyén Hong Thai) Duality theory of ideal spaces of vector 
functions. (Russian) 92a:46041 

— (with Nguyén Héng Thai) Cones of vector-functions in Orlicz spaces of vector-functions. 
Normality and reproducibility properties. (Russian. English summary) 92a:46040 

— (with Nguyén Hong Thai) Some order properties in Orlicz spaces of vector functions. 
(Russian. English summary) 92m:46050 

— see also Appell, Jiirgen, 92d:47089 

Zhou, Min Qiang Weighted norm inequalities for the maximal function on spaces of 
homogeneous type. 92b:42026 

Zink, Robert E. Subsystems of the Schauder system whose orthonormalizations are 
Schauder bases for L?[0, 1]. 92a:46021 


46E35 Sobolev spaces and other spaces of “smooth” functions, 
embedding theorems, trace theorems 


Adams, David R. (with Frazier, Michael) Composition operators on potential spaces. 
92e:46061 

Agadzhanov, A. N. Strictly nuclear embeddings and the interpolation of Sobolev spaces of 
infinite order. (Russian) 92b:46035 

Ahern, Patrick (with Jevtié, Miroljub) Inner multipliers of the Besov space, 0 < p < 1. 
92b:46036 

Aliev, I. A. see Gadzhiev, A. D., (92i:00028a) 

Almgren, Frederick J., Jr. (with Lieb, Elliott H.) The (non)continuity of symmetric 
decreasing rearrangement. 92k:46045 

Appell, Jiirgen (with Hardy, Grahame) On products of Sobolev-Orlicz spaces. 92¢:46036 

Babaev, M.-B. A. Approximation of Sobolev classes of functions by sums of products of 
functions of a smaller number of variables. (Russian) 92h:46037 

— On the order of approximation of the Sobolev class WJ by bilinear forms in L, for 1 <q < 
p<2.(Russian) 924:46082 

Balashova, G. S. Extension and embedding theorems for Sobolev spaces of infinite order. 
(Russian) 92j:46054 

Benedek, A. (with Panzone, R.) An approximation theorem for certain subsets of Sobolev 
spaces. 92f:46034 

— (with Panzone, R.) On the intersection of Sobolev spaces. 92j:46055 

Besov, O. V. Sobolev-Liouville and Lizorkin-Triebel spaces on a domain. (Russian) 
92b:46037 

Bianchi, Gabriele (with Egnell, Henrik) A note on the Sobolev inequality. 92i:46033 

Boccardo, Lucio (with Giachetti, D.; Murat, Francois) A generalization of a theorem of H. 
Brézis & F. E. Browder and applications to some unilateral problems. (French and Italian 
summaries) 92¢:46037 

Bojarski, Bogdan Remarks on some geometric properties of Sobolev mappings. 92k:46046 

Bonet, José (with Braun, Riidiger W.; Meise, Reinhold; Taylor, B. A.) Whitney’s extension 
theorem for nonquasianalytic classes of ultradifferentiable functions. 

Bourdaud, Gérard Le calcul fonctionnel dans les espaces de Sobolev. [Functional calculus in 
Sobolev spaces] 92f:46035 

— Le calcul fonctionnel dans les espaces de Sobolev. [Functional calculus in Sobolev spaces] 
(see 92f:35007) 

— (with Meyer, Yves) Fonctions qui opérent sur les espaces de Sobolev. [Functions acting 
on Sobolev spaces] 92¢:46062 

Braun, Riidiger W. see Bonet, José; et al. 

Brown, Richard C. (with Hinton, D. B.) Weighted interpolation inequalities and embed- 
dings in R". 92¢:46038 

Brudnyi, Yu. A. (with Shvartsman, P. A.) The traces of differentiable functions to closed 
subsets of R”. (see 92m:46004) 

Bruna, Joaquim (with Ortega, Joaquin M.) Traces on curves of Sobolev spaces of 
holomorphic functions. 92h:46038 

Bulabaev, A. T. (with Mustafina, L.M.) Difference embedding theorems for weighted 
Sobolev spaces. (Russian) 924:46083 

Buslaev, A. P. (with Tikhomirov, V.M.) The spectra of nonlinear differential equations and 
widths of Sobolev classes. (Russian) 92f:46036 

Caetano, Anténio M. Weyl numbers in function spaces. II. 92m:46044 

Canavati, José A. (with Galaz Fontes, Fernando) Compactness of embeddings between 
Banach spaces and applications to Sobolev spaces. 92f:46037 

Charushnikov, V. D. Extension and restriction theorems in classes of periodic generalized 
functions. (Russian) 92k:46047 

Cioranescu, Ioana Sur les espaces de Sobolev périodiques. [On periodic Sobolev spaces] 
924d:46084 

Dappa, H. (with Trebels, W.) On anisotropic Besov and Bessel potential spaces. 92b:46038 

De Souza, Geraldo Soares The block decomposition of the weighted Besov spaces. 
92¢:46039 

DeVore, Ronald A. (with Yu, Xiang Ming) K-functionals for Besov spaces. 92m:46045 

Eden, A. (with Foias, Ciprian) A simple proof of the generalized Lieb-Thirring inequalities 
in one-space dimension. 92j:46056 

Edmunds, David E. (with Sun, Jiong) Approximation and entropy numbers of Sobolev 
embeddings over domains with finite measure. 92i:46034 

— (with Kufner, Alois; Sun, Jiong) Extension of functions in weighted Sobolev spaces. 
(Italian summary) 92i:46035 

Egnell, Henrik see Bianchi, Gabriele, 92i:46033 

Evans, William Desmond (with Rakosnik, Jiti) Anisotropic Sobolev spaces and a quasidis- 
tance function. 92i:46036 

Everitt, W. Norrie (with Littlejohn, L. L.) The density of polynomials in a weighted Sobolev 
space. (Italian summary) 92m:46046 

Feichtinger, Hans G. Generalized amalgams, with applications to Fourier transform. 
92£:46038 





729 1992 


Fichera, Gaetano The best constant in an estimate of a trace of a function on the boundary 
of the domain. (Russian) 92b:46039 

Filippov, V. M. see Kagal, A. V., (92d:00023) 

Foias, Ciprian see Eden, A., 92j:46056 

Frazier, Michael see Adams, David R., 92e:46061 

Gabidzashvili, M. A. Weighted inequalities for potentials in spaces of homogeneous type. 
(Russian. English summary) 92h:46039 

Gadzhiev, A. D. (with Aliev, 1. A.) Riesz and Bessel potentials generated by the generalized 
shift operator and their inversions. (Russian) (see 92i:00028a) 

Galanin, M. P. An inequality of embedding type for vector functions. (Russian) 924:46085 

Galaz Fontes, Fernando On the Friedrichs and Rellich properties of Sobol’ev embeddings. 
92a:46033 

— see also Canavati, José A., 92f:46037 

Geisler, Michael (with Runst, Thomas) On a superlinear Ambrosetti-Prodi problem in 
Besov and Triebel-Lizorkin spaces. 92k:46048 

Giachetti, D. see Boccardo, Lucio; et al., 92c:46037 

Gol'dshtein, V.M. (with Reshetnyak, Yu. G.) * Quasiconformal mappings and Sobolev 
spaces. 92h:46040 

Gorenflo, Rudolf see Tran-Diu’c Van; et al., 92b:46046 and 92i:46040 

Groshev, L. N. Spaces of almost periodic functions of infinite order and theorems on the 
solvability of nonlinear equations. (Russian) 92¢:46063 

Guidetti, Davide On interpolation with boundary conditions. 92h:46041 

Guliev, V.S. Weighted embedding theorems for some domains. (Russian) (see 92f:45001) 

Gulisashvili, A. B. On trace and extension operators for Besov spaces. (Russian. English 
summary) 92h:46042 

Gurka, Petr (with Kufner, Alois) A note on a two-weighted Sobolev inequality. 92b:46040 

— (with Opic, Bohumir) Imbeddings of weighted Sobolev spaces and the multiplicative 
inequality. (see 92m:46004) 

Ha Duy Bang Criteria for the nontriviality of infinite-order Sobolev-Orlicz classes and 
spaces in a complete Euclidean space. (Russian) 92a:46034 

Ha Huy Bang see Tran-Dii’c Van; et al., 921:46040 

Han, Wei Min The best constant in a trace inequality in H'. 92e:46064 

Han, Yong Sheng (with Jawerth, Bjérn; Taibleson, Mitchell H.; Weiss, Guido) Littlewood- 
Paley theory and e-families of operators. 92h:46043 

— (with Sawyer, Eric T.) Para-accretive functions, the weak boundedness property and the 
Tb theorem. 92b:46041 

Hardy, Grahame see Appell, Jiirgen, 92c:46036 

Herbst, Ira W. (with Zhao, Zhong Xin) Sobolev spaces, Kac-regularity, and the Feynman- 
Kac formula. 92i:46037 

Herron, David A. (with Koskela, Pekka) Uniform and Sobolev extension domains. 
92e:46065 

Hinton, D. B. see Brown, Richard C., 92c:46038 

Horiuchi, Toshio The imbedding th for weighted Sobolev spaces. II. 92k:46049 

Hurri-Syrjanen, Ritva The weighted Poincaré inequalities. 92f:46039 

I¥in, V. P. On the theory of the embedding of anisotropic classes of functions with power 
smoothness and a metric of type Ly. (Russian) 92f:46040 

(Iosif'yan, G. A.) see Fichera, Gaetano, 92b:46039 

Jaffard, Stéphane Pointwise smoothness, two-microlocalization and wavelet coefficients. 
92j:46057 

Jawerth, Bjirn see Han, Yong Sheng; et al., 92h:46043 

Jevti¢, Miroljub see Ahern, Patrick, 92b:46036 

Jonsson, Alf The duals of Lipschitz spaces defined on closed sets. 92b:46042 

— Besov spaces on surfaces with singularities. 92¢:46040 

Kagal, A. V. (with Filippov, V. M.) On equivalent norming of certain negative Sobolev- 
Schwartz spaces. (Russian) (see 92d:00023) 

Khanin, L.G. A description of traces on an arbitrary closed set of functions with higher 
derivatives in a generalized Zygmund space. (Russian) (see 92m:46002) 

Klimov, V.S. The closure of the set of compactly supported vector-valued functions in 
generalized Sobolev spaces. (Russian) 92c:46041 

Kolyada, V.1I. (with Potapov, M. K.; Storozhenko, E. A.) Embedding theorems. (Russian) 
(see 92i:00028a) 

(Korneeva, O. N.) see Gol'dshtein, V. M., 92h:46040 

Koskela, Pekka see Herron, David A., 92¢:46065 

Kovatik, Ondrej (with Rakosnik, Jiti) On spaces L?“*) and W*?(*), 92m:46047 

Kufner, Alois see Gurka, Petr, 92b:46040 and Edmunds, David E.; et al., 92i:46035 

Leopold, H.-G. Equivalent norms in spaces of Besov-Triebel-Lizorkin type defined by 
pseudodifferential operators. 92f:46041 

Le Van Hap see Tran-Du’c Van; et al., 92b:46046 

Lieb, Elliott H. see Almgren, Frederick J., Jr., 92k:46045 

Liskowski, Marian Separability, duality and reflexivity of Orlicz-Besov spaces. 92k:46050 

Littlejohn, L. L. see Everitt, W. Norrie, 92m:46046 

(Lizorkin, P.I.) see Triebel, Hans, 92¢:46068 

Mamedov, S. A. Weight inequalities for anisotropic Riesz potentials. (Russian) (see 
92c:00016) 

Markina, I.G. The change of variable that preserves the differential properties of functions. 
(Russian) 924:46086 

Matviyuk, L. V. On the embedding of the classes E}'*"+" in L9. (Russian) 92i:46038 

(McFaden, Harold H.) see Sobolev, Sergei L’vovich, 92¢:46067 

Meise, Reinhold see Bonet, José; et al. 

Meyer, Yves see Bourdaud, Gérard, 92¢:46062 

Milman, Mario Notes on interpolation of mixed norm spaces and applications. 92f:46042 

Murat, Francois see Boccardo, Lucio; et al., 92c:46037 

Mustafina, L.M. see Bulabaev, A. T., 92d:46083 

Mynbaev, K. T. Estimates for some functionals connected with embeddings of anisotropic 
weighted Liouville classes. II. (Russian) 92h:46044 

— On the approximation of the differentiation operator on a weighted Sobolev class. 
(Russian) 92k:46051 

Najman, B. The trace theorem in the spaces W;"") and Hi"). (Serbo-Croatian summary) 
92:46035 

Nazarov, V.I. see Zabreiko, P. P., 92e:46069 





46E Linear function spaces and their duals 


46E35 


Nieminen, Esko Hausdorff measures, capacities, and Sobolev spaces with weights. 
92i:46039 

Nikol’skii, S.M. Approximation on a manifold by traces of functions of exponential type. 
(Russian) 92k:46052 

Ombe, Hitoshi Besov spaces and Bessel potential spaces on certain groups. 92¢:46066 

Opershtein, V. A. On a constructive characterization of the spaces BY,[—1, 1] (a direct 
theorem). (Russian) (see 92m:46002) 

Opic, Bohumir (with Rakosnik, Jiti) Estimates for mixed derivatives of functions from 
anisotropic Sobolev-Slobodeckij spaces with weights. 92j:46058 

— see also Gurka, Petr, (92m:46004) 

Ortega, Joaquin M. see Bruna, Joaquim, 92h:46038 

(Palamodov, V. P.) see Sobolev, Sergei L'vovich, 92e:46067 

Panzone, R. see Benedek, A., 92f:46034 and 92j:46055 

Potapov, M. K. see Kolyada, V. I.; et al., (92i:00028a) 

Rakosnik, Jiti S. L. Sobolev spaces with power-type weights. (Russian) 92b:46044 

— On embeddings and traces in Sobolev spaces with weights of power type. 92g:46029 

— On embeddings of anisotropic spaces of Sobolev type. 92b:46043 

— see also Evans, William Desmond, 92i:46036; Opic, Bohumir, 92j:46058 and Kovatik, 
Ondrej, 92m:46047 

Reshetnyak, Yu. G. see Goldshtein, V. M., 92h:46040 

Rivero Mendoza, Jestis (with Szigeti, F.) Composition of Sobolev functions and its 
applications to ordinary differential equations. 924:46087 

Rozenfel/d, E. A. Two embedding theorems. (Russian) 92a:46036 

Runst, Thomas see Geisler, Michael, 92k:46048 

Sawyer, Eric T. see Han, Yong Sheng, 92b:46041 

Schmeisser, Hans-Jiirgen Characterizations of periodic function spaces of Besov-Sobolev 
type via approximation processes and relations to the strong summability of Fourier 
series. 92¢:46042 

Schneider, Reinhold Bessel potential operators for canonical Lipschitz domains. 92m:46048 

Seeger, Andreas A note on Triebel-Lizorkin spaces. 92c:46043 

Shvartsman, P. A. Traces of functions of the BMO space on a class of nonregular subsets of 
R". (Russian) (see 92m:46002) 

— see also Brudnyi, Yu. A., (92m:46004) 

Sickel, Winfried A remark on orthonormal bases of compactly supported wavelets in 
Triebel-Lizorkin spaces. The case 0 < p,q < co. 92h:46045 

Sikhov, M. B. On the embedding E,(4) c He‘. (Russian) 92g:46030 

Sjédin, Tord Weighted norm inequalities for Riesz potentials and fractional maximal 
functions in mixed norm Lebesgue spaces. 92b:46045 

Skrzypczak, Leszek Function spaces of Sobolev type on Riemannian symmetric manifolds. 
92h:46046 

Sobolev, Sergei L'vovich * Some applications of functional analysis in mathematical 
physics. 92¢:46067 

Storozhenko, E. A. see Kolyada, V. L.; et al., (92i:00028a) 

Strichartz, Robert S. H? Sobolev spaces. 92f:46043 

Sun, Jiong see Edmunds, David E., 92i:46034 and 92i:46035 

Szigeti, F. see Rivero Mendoza, Jestis, 92d:46087 

Taibleson, Mitchell H. see Han, Yong Sheng; et al., 92h:46043 

Taylor, B. A. see Bonet, José; et al. 

Tikhomirov, V.M. see Buslaev, A. P., 92f:46036 

Tran-Di’c Van (with Gorenflo, Rudolf; Le Van Hap) Sobolev-Orlicz spaces of infinite order 
and nonlinear differential equations. 92b:46046 

— (with Ha Huy Bang; Gorenflo, Rudolf) On Sobolev-Orlicz spaces of infinite order for a 
full Euclidean space. 92i:46040 

Trebels, W. see Dappa, H., 92b:46038 

Triebel, Hans A diagonal embedding theorem for function spaces with dominating mixed 
smoothness properties. 92f:46044 

— Characterization of the spaces F>, by means of local averages; the continuation problem. 
(Russian) 92¢:46068 

Wallin, Hans The trace to the boundary of Sobolev spaces on a snowflake. 92k:46053 

Weiss, Guido see Han, Yong Sheng; et al., 92h:46043 

Yoshikawa, Atsushi Note on the Taylor expansion of smooth functions defined on Sobolev 
spaces. 92h:46047 

Youssfi, Abdellah Localisation des espaces de Lizorkin-Triebel homogénes. (English 
summary) [Localization of homogeneous Lizorkin-Triebel spaces] 92j:46059 

Yu, Xiang Ming see DeVore, Ronald A., 92m:46045 

Zabreiko, P. P. (with Nazarov, V.1.) Roumieu-Sobolev spaces. (Russian. English summary) 
92¢:46069 

Zhao, Zhong Xin see Herbst, Ira W., 92i:46037 


Items with secondary classifications in 46E35 

Adams, David R. The classification problem for the capacities associated with the Besov and 
Triebel-Lizorkin spaces. 92f:31005 

Anker, Jean-Philippe L, Fourier multipliers on Riemannian symmetric spaces of the 
noncompact type. 92e:43006 

Bao, Gang (with Symes, William W.) A trace theorem for solutions of linear partial 
differential equations. 92h:35031 

Berhanu, S. (with Chanillo, Sagun) Boundedness of the FBI transform on Sobolev spaces 
and propagation of singularities. 92k:35307 

Berkolaiko, M. Z. Convexity and concavity of Banach ideal spaces, and embedding 
theorems. (Russian) 92¢:46027 

Bernardi, Christine (with Girault, Vivette; Halpern, Laurence) Variational formulation for 
a nonlinear elliptic equation in a three-dimensional exterior domain. 92c:35046 

Bondioli, Cristiana Iterates of singular differential operators and ultradifferentiable 
functions. I, II. (Italian. English summary) 92g:47080 

Bose, Amitava A fluctuations limit for scaled age distributions and weighted Sobolev spaces. 
92c:60028 

Bukhvalov, A. V. Sobolev spaces of vector-valued functions. (Russian. English summary) 
92¢:46071 

Chanillo, Sagun Sobolev inequalities involving divergence free maps. 92m:42020 

— see also Berhanu, S., 92k:35307 





46E35 


Coulhon, Thierry (with Saloff-Coste, Laurent) Semi-groupes d’opérateurs et espaces 
fonctionnels sur les groupes de Lie. (English summary) [Operator semigroups and 
function spaces on Lie groups] 92c:47049 

Davtyan, A. A. On the spaces t)} and coercive properties of equations of elliptic type. 
(Russian) 924:35086 

De Cicco, Virginia (with Marino, Giuseppe) Composition operators on summable 
functions spaces. 92¢:47048 

DeVore, Ronald A. (with Yu, Xiang Ming) Nonlinear n-widths in Besov spaces. 92e:41022 

Edmunds, David E. (with Jiong, Sun) Embedding theorems and the spectra of certain 
differential operators. 92k:34110 

Ferreira, José Augusto Mendes The Sobolev space wi"?(G) and its discretization by grid 
function spaces. (Portuguese. English summary) (see 92m:00052) 

Franke, Jens Besov spaces on local fields. 92b:46126 

Frazier, Michael (with Jawerth, Bjérn; Weiss, Guido) * Littlewood-Paley theory and the 
study of function spaces. 92m:42021 

Girault, Vivette see Bernardi, Christine; et al., 92c:35046 

Griesinger, Regina Decompositions of L? and Hy 4 with respect to the operator rot. 
92g:47072 

Guidetti, Davide On elliptic problems in Besov spaces. 92f:35056 

Halpern, Laurence see Bernardi, Christine; et al., 92c:35046 

Han, Wei Min The best constant in a trace inequality. 92j:35033 

Hebey, Emmanuel (with Vaugon, Michel) Meilleures constantes dans le théoreme 
d’inclusion de Sobolev et multiplicité pour le probleme de Nirenberg. (English summary) 
[Best constants in the Sobolev embedding theorem and multiplicity for the Nirenberg 
problem] 924d:58215 

Iserles, A. (with Sanz-Serna, J. M.; Koch, Per Erik; Norsett, S. P.) Orthogonality and 
approximation in a Sobolev space. 92a:42042 

Ivanov, V. A. (with Skiba, Yu. N.) * Hexoroppie TeopeMbI BOKeHHA Ha KOMMAKTHBIX 
OMHOPODHLIX NpOcTpaHcTBax H MX IPHMeHeHHe K HCCIeAOBaHHWO yCTOHYHBOCTH 
6apoTponHok KHLKOCTH Ha cihepe. (Russian) [Some embedding theorems on compact ho- 
mogeneous spaces and their application to the study of the stability of a barotropic fluid 
ona sphere] 92g:35184 

Jaffiard, Stéphane Sur la dimension de Hausdorff des points singuliers d’une fonction. 
(English summary) [On the Hausdorff dimension of the singular points of a function] 
92m:28012 

Jawerth, Bjorn see Frazier, Michael; et al., 92m:42021 

Jensen, Soren S. An Hj’ interpolation result. 92¢:65117 

Jiong, Sun see Edmunds, David E., 92k:34110 

Kang, Bu-Hyeon see Pahk, Dae Hyeon, 92k:46064 

Knopf, Peter M. L” and Sobolev space mapping properties of the Szegé operator for the 
polydisc. 924:47045 

Koch, Per Erik see Iserles, A.; et al., 92a:42042 

Kopylov, A. P. * Ycrottansocts B C-HopMe Kmaccos oTo6paxenuit. (Russian) [Stability in 
the C-norm of classes of mappings] 92h:30044 

Krotov, V.G. A sharp estimate for the boundary behavior of functions in the Hardy-Sobolev 
classes H?(B") in the critical case ap = n. (Russian) 

Kufner, Alois see Opic, Bohumir, 92b:26028 

Lanza de Cristoforis, Massimo A note on composition operators in Sobolev spaces and an 
extension of the chain rule. (Italian summary) 92j:47053 

Lenze, Burkhard A hyperbolic modulus of smoothness for multivariate functions of 
bounded variation. 92g:41025 

Li, Chun? A note on BMO;? functions. (Chinese) 92¢:42014 

Li, Chun’ Infinite-dimensional widths in function spaces. I. (Chinese) 

— see also Sun, Yong Sheng; et al., 92k:41028 

Lieberman, Gary M. The Dirichlet problem with L? boundary data in domains with Dini 
continuous normal. 92j:35041 

Ligocka, Ewa On the regularity of coanalytic Toeplitz operators. 92j:47047 

Mantlik, Frank Isomorphic classification and lifting theorems for spaces of differentiable 
functions with Lipschitz conditions. 92¢:46073 

Marino, Giuseppe see De Cicco, Virginia, 92¢:47048 

Marschall, Jiirgen Weighted parabolic Triebel spaces of product type. Fourier multipliers 
and pseudo-differential operators. 92m:47104 

— Microlocal analysis for solutions of nonlinear partial differential equations in weighted 
function spaces. 92g:35009 

Merentes, Nelson Morrey’s inequality on the fractional Sobolev space. 92h:26018 

Motos, Joaquin (with Planells, Maria Jesis) Type and cotype of some vector-valued 
distribution spaces. (Spanish) (see 92g:00024) 

Nahmod, Andrea R. Geometry of operators and spectral analysis on spaces of homogeneous 
type. (French summary) 92k:47098 

Nazarov, V.I. see Zabreiko, P. P., 92k:34080 

Nguyen Thi Thiéu Hoa The trigonometric Taylor formula, a trigonometric analogue of 
Sobolev classes, and trigonometric splines. (Russian) 

Nikol'skii, S. M. Approximation, on a manifold, of functions of Besov class by entire 
functions of exponential type. (Russian) 92m:41069 

Nersett, S. P. see Iserles, A.; et al., 92a:42042 

Odinokov, O. V. Differential operators of infinite order with symbols from the Gevrey class. 
(Russian) 92k:35303 

Opic, Bohumir (with Kufner, Alois) * Hardy-type inequalities. 92b:26028 

Pachpatte, B.G. On some variants of Sobolev’s inequality. 92f:26034 

Pahk, Dae Hyeon (with Kang, Bu-Hyeon) Sobolev spaces in the generalized distribution 
spaces of Beurling type. 92k:46064 

Paviovi¢, Miroslav Inequalities for the gradient of eigenfunctions of the invariant Laplacian 
in the unit ball. 92d:32008 

Pearson, J. Michael Best constants in Sobolev inequalities for ultraspherical polynomials. 
92k:26051 

Picard, Rainer H. Hilbert spaces of tempered distributions, Hermite expansions and 
sequence spaces. 92k:46065 

Pick, LuboS Maximal inequalities and imbeddings in weighted Orlicz spaces. (see 
92m:46004) 

Planells, Maria Jestis see Motos, Joaquin, (92g:00024) 


FUNCTIONAL ANALYSIS 


Popov, Vasil A. Nonlinear multivariate approximation. 92b:41036 

Rakotoson, Jean-Michel Quasilinear equations and spaces of Campanato-Morrey type. 
92k:35045 

Roitberg, Ya. A. The Cauchy problem for general hyperbolic systems in a complete scale of 
Sobolev-type spaces. (Russian) 92a:35105 

Roubitek, Toma A generalization of the Lions-Temam compact imbedding theorem. 
(Russian and Czech summaries) 92h:46052 

Runst, Thomas Solvability of semilinear elliptic boundary value problems in Besov-Triebel- 
Lizorkin spaces. 92k:35105 

Saal, Linda The Szegé operator on SU(N, 1). 92h:43020 

Saloff-Coste, Laurent see Coulhon, Thierry, 92c:47049 

Sanz-Serna, J. M. see Iserles, A.; et al., 92a:42042 

Seeger, Andreas Remarks on singular convolution operators. 92a:42020 

Semmes, Stephen Differentiable function theory on hypersurfaces in R” (without bounds on 
their smoothness). 92m:30088 

Shadrin, A. Yu. Kolmogorov-type inequalities, and estimates for spline-interpolation for 
periodic classes WJ". (Russian) 92b:41027 

Simon, Jacques Sobolev, Besov and Nikol’skii fractional spaces: imbeddings and compar- 
isons for vector valued spaces on an interval. 92¢:46075 

Skiba, Yu. N. see Ivanov, V. A., 92g:35184 

Sun, Yong Sheng (with Li, Chun*) Optimal recovery for Wj(R) in L?(R). 92k:41028 

Symes, William W. see Bao, Gang, 92h:35031 

Tarkhanov, N. N. Approximation in Sobolev spaces by solutions of elliptic systems. 
(Russian) 92a:35057 

Taylor, Michael E. * Pseudodifferential operators and nonlinear PDE. 92j:35193 

Thilliez, Vincent Classes de Gevrey non isotropes et interpolation dans les domaines de type 
fini de C?. (English summary) [Nonisotropic Gevrey classes and interpolation in domains 
of finite type in C2] 92h:32020 

Tikhomirov, V.M. Some remarks on relative diameters. 92b:41059 

Triebel, Hans Inequalities in the theory of function spaces: a tribute to Hardy, Littlewood 
and Polya. 92¢:26006 

Trofimov, E. I. Sobolev spaces and limit theorems for semimartingales. (Russian) 
92d:60043 

Troianiello, Giovanni Maria * Elliptic differential equations and obstacle problems. 
92b:35004 

(Trzeciak, Jerzy) see Tikhomirov, V. M., 92b:41059 

Vaugon, Michel see Hebey, Emmanuel, 92d:58215 

Weiss, Guido see Frazier, Michael; et al., 92m:42021 

Yu, Xiang Ming see DeVore, Ronald A., 92e:41022 

Zabreiko, P. P. (with Nazarov, V.1.) Smoothness properties of the solutions of nonlinear 
differential equations. (Russian) 92k:34080 

Zhang, Lian Wen Finite-element analysis of axisymmetric Navier-Stokes equations. 
(Chinese. English summary) 92b:65092 


46E39 Sobolev (and similar kinds of) spaces of functions of 
discrete variables 


Drémov, O. A. (with Koldoba, A. V.; Poveshchenko, Yu. A.) Difference analogues of some 
embedding theorems on irregular grids. (Russian. English summary) 92h:46048 

Ferreira, José Augusto Mendes The Sobolev space win(G) and its discretization by grid 
function spaces. (Portuguese. English summary) (see 92m:00052) 

Koldoba, A. V. see Drémov, O. A.; et al., 92h:46048 

Poveshchenko, Yu. A. see Drémov, O. A.; et al., 92h:46048 

Stikharnyi, A. P. The denseness of finitely supported sequences in a weighted space. 
(Russian. Kazakh summary) 92¢:46070 


Items with secondary classifications in 46E39 


Stevenson, Rob Discrete Sobolev spaces and regularity of elliptic difference schemes. 
(French summary) 92j:65154 


46E40 Spaces of vector- and operator-valued functions 


Abbott, Catherine A. (with Bator, Elizabeth M.; Bilyeu, Russell G.; Lewis, Paul W.) Weak 
precompactness, strong boundedness, and weak complete continuity. 92b:46047 

Balder, Erik J. New sequential compactness results for spaces of scalarly integrable 
functions. 92b:46048 

Bator, Elizabeth M. see Abbott, Catherine A.; et al., 92b:46047 

Bierstedt, Klaus-D. (with Bonet, José) Projective descriptions of weighted inductive limits: 
the vector-valued cases. 92¢:46044 

Bilyeu, Russell G. see Abbott, Catherine A.; et al., 92b:46047 

Blasco De La Cruz, Oscar Spaces of vector valued analytic functions and applications. 
92j:46060 

Bombal, Fernando Some Banach spaces of vector functions. (Spanish) (see 92g:00023) 

— (V*) sets in Bochner integrable functions spaces. 92j:46061 

— On some subsets of L;(u, E). 92b:46049 

— On certain subsets of Bochner integrable functions spaces. 92k:46054 

Bonet, José see Bierstedt, Klaus-D., 92c:46044 

Brenier, Yann Polar factorization and monotone rearrangement of vector-valued functions. 
92d:46088 

Bukhvalov, A. V. Sobolev spaces of vector-valued functions. (Russian. English summary) 
92e:46071 

Cambern, Michael (with Jarosz, Krzysztof) Multipliers and isometries in Hz°. 92b:46050 

Campiti, Michele The Riemann sequential convergence in spaces of vector-valued Riemann 
integrable functions. 92k:46055 

Cengiz, Bahattin On the duals of Lebesgue-Bochner L? spaces. 92g:46031 

Domariski, Pawel (with Drewnowski, Lech) Uncomplementability of the spaces of norm 
continuous functions in some spaces of “weakly” continuous functions. 92b:46051 

Drewnowski, Lech (with Florencio, Miguel; Paul, Pedro J.) The space of Pettis integrable 
functions is barrelled. 92f:46045 

— see also Domaniski, Pawel, 92b:46051 





731 1992 


Emmanuele, Giovanni Gel'fand-Phillips property in the completion of the space of Pettis 
integrable functions. 92a:46037 

Florencio, Miguel see Drewnowski, Lech; et al., 92f:46045 

Galbis, Antonio On weighted inductive limits of spaces of Fréchet-valued continuous 
functions. 92k:46056 

Gruenwald, Mark E. (with Wheeler, Robert F.) A strict dual representation for L;(u, X). 
92¢:46072 

Grzaslewicz, Ryszard Extreme operator-valued continuous maps. 92h:46049 

Hensgen, Wolfgang Some remarks on boundary values of vector-valued harmonic and 
analytic functions. 92j:46062 

Jarosz, Krzysztof see Cambern, Michael, 92b:46050 

Jiménez Guerra, Pedro Some properties of L* spaces for functions with values in locally 
convex spaces. (Spanish) (see 92g:00024) 

Kalton, N. J. (with Saab, Elias; Saab, Paulette) L’(X) (1 < p < oo) has the property (u) 
whenever X does. 92i:46041 

Khan, Liagat Ali (with Rowlands, K.) The c-compact-open topology and its relatives on a 
space of vector-valued functions. (Italian summary) 92k:46057 

Khurana, Surjit Singh Grothendieck spaces. II. 92i:46042 

Klotz, Lutz Inclusion relations for some L’-spaces of operator-valued functions. 92j:46063 

Kokk, Arne Banach-Stone type theorems. (Russian) 92a:46038 

Kénig, Hermann On the Fourier-coefficients of vector-valued functions. 92m:46049 

Kurc, Wiestaw Characterization of a weak uniform property in Kéthe spaces of vector 
valued functions. 924:46089 

Lewis, Paul W. see Abbott, Catherine A.; et al., 92b:46047 

Li, Chong (with Wang, Zu Yue) Existence of a class of functions on Lp(u, X) (0 <p < 1). 
(Chinese) 924:46090 

Lin, Pei-Kee The isometries of H?(K). 92d:46091 

Mantlik, Frank Isomorphic classification and lifting theorems for spaces of differentiable 
functions with Lipschitz conditions. 92¢:46073 

— Differentiable bundles of subspaces and operators in Banach spaces. 92i:46043 

Mendoza, José Copies of /,.. in L?(u; X). (Spanish. English summary) (see 92b:00044) 

Motos, Joaquin On linear embedding of C(X, E) into (C(/, E))". (Russian summary) 
92b:46052 

Miller, Paul F. X. (with Schechtman, Gideon) Several results concerning unconditionality 
in vector valued L? and H'(%,) spaces. 92g:46032 

Nakanishi, Shiza A Banach-Steinhaus theorem on the space of Denjoy integrable functions. 
92g:46033 

— Aclosed graph theorem in the space of Denjoy integrable functions. I. 92g:46034 

Nawrocki, M. Duals of vector-valued H?-spaces for 0 < p < 1. 92f:46046 

Ngembo, Ngimbi Approximation property and strict spaces of continuous functions. 
92¢:46074 

Nguyén Hong Thai The theory of semimoduli of infra-semi-units in ideal spaces of vector 
functions and its applications to integral operators. (Russian) 92h:46050 

— see also Zabreiko, P. P., 92a:46040; 922:46041 and 92m:46050 

Niifiez, Carmelo A note on the Dunford-Pettis property. (Spanish. English summary) (see 
92g:00024) 

Pail, Pedro J. see Drewnowski, Lech; et al., 92f:46045 

Pifieiro, Candido A note on bornivorous barrels of C(X, E). 92a:46039 

Piuciennik, Ryszard Condition of A type in Kéthe spaces of vector-valued functions. 
92k:46058 

Richter, Peter H. W. On the separability of Hilbert spaces L3,((0, 1], 9; 4). (German 
summary) 92h:46051 

Roubitek, Tomas A generalization of the Lions-Temam compact imbedding theorem. 
(Russian and Czech summaries) 92h:46052 

Rowlands, K. see Khan, Liaqat Ali, 92k:46057 

Saab, Elias (with Saab, Paulette) On unconditionally converging and weakly precompact 
operators. 92d:46092 

— see also Kalton, N. J.; et al., 92i:46041 

Saab, Paulette see Saab, Elias, 92d:46092 and Kalton, N. J.; et al., 92i:46041 

Schechtman, Gideon see Miiller, Paul F. X., 92g:46032 

Simon, Jacques Sobolev, Besov and Nikol'skii fractional spaces: imbeddings and compar- 
isons for vector valued spaces on an interval. 92¢:46075 

Ulger, A. Weak compactness in L'(u, X). 92g:46035 

— Continuous linear operators on C(K, X) and pointwise weakly precompact subsets of 
C(K, X). 92k:46059 

Waelbroeck, Lucien Holomorphic functions taking their values in a g-space and the Cauchy- 
Fantappié formula. 92i:46044 

Wang, Zu Yue see Li, Chong; et al., 924:46090 

Wheeler, Robert F. see Gruenwald, Mark E., 92e:46072 

Wista, Marek A full description of extreme points in C(Q, L?()). 92b:46053 

Xu, Quan Hua Analytic functions with values in lattices and symmetric spaces of measur- 
able operators. 92g:46036 

Zabreiko, P. P. (with Nguyen Hong Thai) Duality theory of ideal spaces of vector 
functions. (Russian) 92a:46041 

— (with Nguyén Hong Thai) Cones of vector-functions in Orlicz spaces of vector-functions. 
Normality and reproducibility properties. (Russian. English summary) 92a:46040 

— (with Nguyén Hong Thai) Some order properties in Orlicz spaces of vector functions. 
(Russian. English summary) 92m:46050 


Items with secondary classifications in 46E40 

Abbott, Catherine A. Weakly precompact and GSP operators on continuous function spaces. 
(Russian summary) 92b:47041 

Alegre Gil, Carmen A characterization of quasinormability in vector-valued Kéthe-Lorentz 
echelon spaces. (Spanish) (see 92g:00024) 

Ambrosio, Luigi Metric space valued functions of bounded variation. 924:26022 

Appell, Jiixgen (with Nazarov, V. 1.; Zabreiko, P. P.) Composing infinitely differentiable 
functions. 92¢:47083 

Ballivé, Ma. E. (with de Maria, José L.) On the dual of L* for locally convex spaces. 
92m:46062 

— (with Jiménez Guerra, Pedro) Operators and L* spaces. 92m:46063 


46E Linear function spaces and their duals 


46E40 


— (with Escribano, Ma. del Carmen) Orlicz spaces in bilinear vector integration. (Spanish. 
English summary) (see 92m:00049) 

Beer, Gerald A. (with Tamaki, Robert) Function spaces and the Mosco topology. 
92b:54027 

Behrends, Ehrhard C)K-valued local operators. 92¢:47032 

Bella, Angelo (with Charatonik, Janusz J.; Villani, Alfonso) On the residuality of the set of 
all nowhere constant functions. (Italian summary) 92b:54030 

Bernal, Antonio (with Cerda, Joan) Analyticity and quasi-Banach valued functions. 
92¢:46048 

Blasco De La Cruz, Oscar Vector valued measures of bounded mean oscillation. 92i:46051 

— A note on vector-valued Hardy and Paley inequalities. 92i:42004 

Bonet, José (with Galbis, Antonio) The identity L(E, F) = LB(E, F), tensor products and 
inductive limits. 92e:46140 

Castaing, Charles (with Ezzaki, Fatima) Some convergence results for multivalued 
martingales in the limit. 92g:60065 

Cerda, Joan see Bernal, Antonio, 92e:46048 

Charatonik, Janusz J. see Bella, Angelo; et al., 92b:54030 

De Grande-De Kimpe, Nicole (with Navarro, S.) Non-Archimedean nuclearity and spaces 
of continuous functions. 92h:46113 

Di, Ji Zheng Integral representation of linear operators on spaces of Bochner integrable 
functions. (Chinese. English summary) 92¢:47035 

Donchev, Tzanko Donchev (with Farkhi, Elza M.) Moduli of smoothness of vector valued 
functions of a real variable and applications. 92a:41020 

Escribano, Ma. del Carmen see Ballvé, Ma. E., (92m:00049) 

Ezzaki, Fatima see Castaing, Charles, 92g:60065 

Farkhi, Elza M. see Donchev, Tzanko Donchev, 92a:41020 

Fernandez, D. L. (with Garcia, J. B.) Interpolation of Orlicz-valued function spaces and 
U.M.D. property. 92g:46026 

Galbis, Antonio see Bonet, José, 92¢:46140 

Garcia, J. B. see Fernandez, D. L., 92g:46026 

Garkavi, A. L. Algebraic and geometric components of Chebyshev rank of a system of 
vector-valued functions. (Russian) 92d:41055 

Grzaslewicz, Ryszard (with Schaefer, Helmut H.) Extreme points of the positive part of the 
unit ball and strictly monotone norm. 92h:46026 

Guerre, Sylvie Some remarks on complex powers of (—A) and UMD spaces. 92f:47028 

Hemasinha, Rohan Some results on the span of families of Banach valued independent, 
random variables. 92c:60008 

Jiménez Guerra, Pedro see Ballvé, Ma. E., 92m:46063 

Jordan Liuch, Cristina A note on Kéthe echelon spaces of vector-valued functions. 
(Spanish) (see 92g:00024) 

Karunakaran, V. (with Subbulakshmi, S.) A generalized Rudin-Carleson theorem. 
92£:30064 

Katsaras, A. K. c-ultrabornological spaces and spaces of continuous non-Archimedean 
valued functions. (Serbo-Croatian summary) 924:46184 

Kislyakov, S. V. (with Xu, Quan Hua) Sur l’interpolation des espaces H”. (English 
summary) [On the interpolation of H?-spaces] 92g:46022 

Klimov, V.S. The closure of the set of compactly supported vector-valued functions in 
generalized Sobolev spaces. (Russian) 92c:46041 

Leung, Denny H. A Gel'fand-Phillips property with respect to the weak topology. 92j:46032 

Light, William A. A note on proximinality in function spaces F(S, X). 924:41060 

Manhas, Jasbir Singh see Singh, Raj Kishor, 92f:47031 

de Maria, José L. see Ballvé, Ma. E., 92m:46062 

Motos, Joaquin (with Planells, Maria Jesis) Type and cotype of some vector-valued 
distribution spaces. (Spanish) (see 92g:00024) 

Na, Qi Yuan On conditional expectation operators on L(u, X) (1 < p < +00, p #2). 
92b:47045 

Navarro, S. see De Grande-De Kimpe, Nicole, 92h:46113 

Nazarov, V. I. see Appell, Jiirgen; et al., 92c:47083 

Nguyén Hong Thai (with Zabreiko, P. P.) Ideal spaces of vector functions and their 
applications. (see 92m:46004) 

Planells, Maria Jestis see Motos, Joaquin, (92g:00024) 

Pluciennik, Ryszard (with Tian, Shen; Wang, Yu Wen) Nonconvex integral functionals on 
Musielak-Orlicz spaces. 92g:46059 

— Representation of additive functionals on nonsolid Kéthe spaces. 92c:46034 

Porras, B. A note on the representing measures of operators defined on spaces of vector- 
valued continuous functions. 92g:47040 

Rajappa, Asthagiri K. Weak continuity of a composition map between spaces of compact 
operators and Banach valued continuous functions. 92d:47051 

Saab, Elias (with Saab, Paulette) On stability problems of some properties in Banach 
spaces. 92m:46021 

Saab, Paulette (with Smith, Brenda) Nuclear operators on spaces of continuous vector- 
valued functions. 92e:47053 

— see also Saab, Elias, 92m:46021 

Schaefer, Helmut H. see Grzgslewicz, Ryszard, 92h:46026 

Singh, Raj Kishor (with Manhas, Jasbir Singh) Multiplication operators on weighted spaces 
of vector-valued continuous functions. 92f:47031 

Smith, Brenda see Saab, Paulette, 92e:47053 

Sudrez Granero, Antonio Stable and uniformly stable unit balls in Banach spaces. 92f:46015 

Subbulakshmi, S. see Karunakaran, V., 92f:30064 

Takagi, Hiroyuki Compact weighted composition operators on certain subspaces of 
C(X, E). 92i:47036 

Tamaki, Robert see Beer, Gerald A., 92b:54027 

Tervo, Jouko On realizations and positivity of linear integral operators. 92k:47097 

Tian, Shen see Pluciennik, Ryszard; et al., 92g¢:46059 

Timoshin, O. A. Approximation of differential polynomials on classes of vector functions. 
(Russian) 92m:41054 

Villani, Alfonso see Bella, Angelo; et al., 92b:54030 

Wang, Yu Wen see Pluciennik, Ryszard; et al., 92g:46059 

Wista, Marek Bounded sets and galb conditions in Musielak-Orlicz spaces of vector valued 
sequences. 92¢:46015 





46E40 


Xu, Quan Hua see Kislyakov, S. V., 92g:46022 
Zabreiko, P. P. see Appell, Jéirgen; et al., 92c:47083 and Nguyén Hong Thai, (92m:46004) 
Zheng, Xi Yin Weakly compact linear operators into L(u). 92¢:47022 


46E50 Spaces of differentiable or holomorphic functions on 
infinite-dimensional spaces [see also 46G20] 


Defant, Andreas (with Moraes, Luiza A.) On unconditional bases in spaces of holomorphic 
functions in infinite dimensions. 92c:46045 

Jaramillo, Jestis A. Topologies in spaces of differentiable functions. (Spanish) (see 
92g:00024) 

Moraes, Luiza A. see Defant, Andreas, 92¢:46045 

Scheve, Manfred Isomorphy classes of spaces of holomorphic functions on open polydiscs in 
dual power series spaces. 92j:46064 

Zegarlinski, Bogusiaw On log-Sobolev inequalities for infinite lattice systems. 92g:46037 


Items with secondary classifications in 46E50 

Aron, Richard M. (with Cole, B. J.; Gamelin, T. W.) Spectra of algebras of analytic 
functions on a Banach space. 92f:46056 

Cole, B. J. see Aron, Richard M.; et al., 92£:46056 

Deghoul, Djamel Construction de caractéres exceptionnels sur une algébre de Fréchet. 
(English summary) [Construction of exceptional characters on a Fréchet algebra] 
92b:46066 

Gamelin, T. W. see Aron, Richard M.; et al., 92f:46056 

Krée, Paul Distributions, Sobolev spaces on Gaussian vector spaces and Ito’s calculus. 
92d:46106 

Kriegl, A. (with Nel, Louis Daniel') Convenient vector spaces of smooth functions. 
92k:46010 

Masuda, Tetsuya (with Watanabe, Junsei) Sur les espaces vectoriels topologiques associés 
aux groupes quantiques SU,(2) et SU,(1, 1). (English summary) [On the topological 
vector spaces associated with the quantum groups SU,(2) and SU,(1,1)] 92b:58022 

Medeiros, Lucia Regina Rego Absolute basis in the space of holomorphic mappings. 
92m:46067 

Nel, Louis Daniel’ see Krieg], A., 92k:46010 

Paneitz,S. M. (with Pedersen, J.; Segal, I. E.; Zhou, Zheng-Fang) Singular operators on 
boson fields as forms on spaces of entire functions on Hilbert space. 92k:47142 

Pedersen, J. see Paneitz, S. M.; et al., 92k:47142 

Prieto Yerro, Angeles The strict topology in By(U) as a mixed topology. (Spanish) (see 
92g:00024) 

Segal, I. E. see Paneitz, S. M.; et al., 92k:47142 

Watanabe, Junsei see Masuda, Tetsuya, 92b:58022 

Zhou, Zheng-Fang see Paneitz, S. M.; et al., 92k:47142 


46E99 None of the above, but in this section 


Aizpuru Tomas, Antonio Countable Boolean algebras and the Orlicz-Pettis property. 
(Spanish. English summary) (see 92b:00044) 

Goldberg, Maxim J. A functional calculus for a scalar perturbation of 0/0z. 92k:46060 

Kostyrko, Pavel On a typical property of some function spaces. (Russian and Slovak 
summaries) 92¢:46046 

Nasyrova, Kh. Weak asymptotics of the widths of a surface in the space L2. (Russian) 
924:46093 

Ovcharenko, I. E. Scalar products in the space of polynomials, and positivity. (Russian. 
English summary) 924:46094 

Shlyk, V. A. The structure of compact sets that generate normal domains and removable 
singularities for the space L\(D). (Russian) 924:46095 


Items with secondary classifications in 46E99 

Agranovskii, M.L. Poisson integrals in Mébius-invariant spaces in the complex ball. 
(Russian) 92¢:32008 

Appell, Jiirgen Interpolation of noncompact nonlinear operators in integrable function 
spaces. (Italian. English summary) 92a:46092 

Bierstone, Edward (with Milman, Pierre D.) Local analytic invariants. 92a:32008 

Bikchentaev, A. I. Noncommutative functional spaces. II. (Russian) (see 92g:47002) 

Brenier, Yann Polar factorization and monotone rearrangement of vector-valued functions. 
92d:46088 

Chen, Di Rong Optimal recovery and average n-k widths for some function classes in L2(R). 
92m:41061 

Clancey, Kevin F. Representing measures on multiply connected planar domains. 
92¢:46110 

Cockburn, Bernardo On the continuity in BV(Q) of the L?-projection into finite element 
spaces. 92a:65288 

Deshpande, M. V. (with Parekh, M. N.) Compact operators on a Banach space into the 
space of almost periodic functions. 92f:43010 

Dombrowski, J. Orthogonal polynomials and functional analysis. 92m:42023 

Dutta, Tapas Kumar On a metric associated with a subset of Laplace transformable function 
set. 92k:44009 

Filter, Wolfgang Riesz spaces of step functions. 92h:46010 

Frankova4, Dana Regulated functions. (Czech summary) 92d:26023 

Galeev, E.M. Order estimates for harmonics, minimal with respect to choice of N, of the 
norms of derivatives of Dirichlet and Favard kernels. (Russian) 92j:42022 

Gustafsson, Bjorn On quadrature domains and an inverse problem in potential theory. 
92c:31013 

Hilgert, Joachim (with Olafsson, Gestur; @rsted, Bent) Hardy spaces on affine symmetric 
spaces. 92h:22030 

Husain, Syed A. (with Sehgal, V.M.) Orthonormal expansions and the principle of uniform 
boundedness. 92¢:42023 

Iliev, Georgi L. The use of the K-functional to obtain direct and inverse theorems for shape 
preserving approximations. (Bulgarian summary) (see 92a:00041) 


FUNCTIONAL ANALYSIS 


1992 732 


Jakébezak, Piotr (with Mazur, Tomasz) Some properties of the L?-angle between complex 
domains. (Serbo-Croatian summary) 92k:32039 

Jorgensen, Palle E.T. (with Pedersen, Steen) An algebraic spectral problem for L7(Q), Qc 
R". (French summary) 92b:47043 

Kudryavtsev, L. D. Variational problems with a different number of boundary conditions. 
(Russian) 92¢:49058 

Kuz'michev, V. V. Conditions for the removal of singularities in the C! metric in terms of 
one notion of dimensionality. (Russian) 924:58010 

Kwong, Man Kam (with Zettl, Anton) Norm inequalities for derivatives and differences. 
92£:26033 

Li, Chong Restricted approximations in normed linear spaces and their applications. 
(Chinese. English summary) 92b:41054 

Li, Zeng Hu (with Li, Zhan Bing) A class of integral represented functions. (Chinese 
summary) 92k:60168 

Li, Zhan Bing see Li, Zeng Hu; et al., 92k:60168 

Liu, He Ping (with Liu, Zhi Xin; Lu, Shan Zhen) Strong mean approximation on H?(7T") 
for the Riesz means at the critical index. 92a:42026 

Liu, Zhi Xin see Liu, He Ping; et al., 92a:42026 

Lu, Shan Zhen see Liu, He Ping; et al., 92a:42026 

Lyubarskii, Yu. I. Properties of systems of linear combinations of powers. (Russian) 
92a:42044 

Maligranda, Lech (with Persson, Lars-Erik) The E-functional for some pairs of groups. 
92h:46111 

Mazur, Tomasz see Jakébczak, Piotr, 92k:32039 

Meyer, Yves Construction de bases orthonormées d’ondelettes. [Construction of orthonor- 
mal bases of wavelets] 92b:42038 

— Orthonormal wavelets. 92h:42042 

Milman, Pierre D. see Bierstone, Edward, 92a:32008 

Moral, L. The space L(a;) in a finite union of Jordan curves. (Spanish) (see 92a:42002) 

Mora Martinez, Gaspar Interpolation in spaces of harmonic functions with asymptotic 
expansions. (Spanish. English summary) 92¢:31001 

Nakai, Mitsuru Functions of Hardy-Orlicz class on Riemann surfaces. 92m:30069 

Nersesyan, Ashot A. Bounded point derivations on R(X) and approximation with 
simultaneous interpolation. (Russian) 92f:41037 

Nikol/skii, M.S. Everywhere dense sets in the space C(X, Ku(R")) of continuous multival- 
ued mappings. (Russian) 92h:41068 

Olafsson, Gestur see Hilgert, Joachim; et al., 92h:22030 

Orsted, Bent see Hilgert, Joachim; et al., 92h:22030 

(Pal, Jené) see Schipp, F.; et al., 92g:42001 

Pap, Endre On the generalized Dirichlet series of several complex variables. 92a:32002 

Parekh, M. N. see Deshpande, M. V., 92f:43010 

Pedersen, Steen see Jorgensen, Palle E. T., 92b:47043 

Persson, Lars-Erik see Maligranda, Lech, 92h:46111 

Prus-Wisniowski, Franciszek Some remarks on functions of bounded g-variation. 
92g:26012 

Rakhmetov, N. K. Uniqueness of the element of best approximation in some function 
spaces. (Russian) 924:41056 

Schipp, F. (with Wade, W. R.; Simon, Péter) * Walsh series. 92g:42001 

Sehgal, V.M. see Husain, Syed A., 92¢:42023 

Simon, Péter see Schipp, F.; et al., 92g:42001 

Sivakumar, N. Concerning the linear dependence of integer translates of exponential box 
splines. 92h:41027 

Wade, W.R. see Schipp, F.; et al., 92g:42001 

Wang, Yu Wen The generalized inverse operators in Banach spaces. (Russian summary) 
92j:47014 

Weisz, Ferenc Martingale Hardy spaces, BMO and VMO spaces with nonlinearly ordered 
stochastic basis. (Russian summary) 92c:60069 

Zakharov, Valerii Konstantinovich Borel cover and Borel extension. 92i:54024 

Zawadzka, Grazyna On Lipschitzian operators of substitution in the space of set-valued 
functions of bounded variation. (Serbo-Croatian summary) 92d:47091 

Zettl, Anton see Kwong, Man Kam, 92f:26033 

Zheludev, V. A. An operational calculus that is connected with periodic splines. (Russian) 
92b:44008 


46Fxx Distributions, generalized functions, distribution 
spaces {For distribution theory on nonlinear 
spaces, see 58Cxx.} 


Egorov, Yurii Viadimirovich Generalized functions and their applications. 92h:46053 

— On the theory of generalized functions. (Russian) 92d:46097 

— Generalized functions and linear differential equations. (Russian) 924:46096 

Frazier, Michael (with Jawerth, Bjérn) A discrete transform and decompositions of 
distribution spaces. 92a:46042 

von Grudzinski, Olaf * Quasihomogeneous distributions. 92g:46038 

Jawerth, Bjérn see Frazier, Michael, 92a:46042 

Lodder, J. J. * Towards a symmetrical theory of generalised functions. 92j:46065 

Palamodov, V. P. Generalized functions and harmonic analysis. (Russian) 92k:46061 

Rosinger, Elemer E. * Nonlinear partial differential equations. 92d:46098 

Tataru, Grigore * Elemente de teoria distributiilor cu aplicatii in mecanica. (Romanian) 
[Elements of the theory of distributions with applications to mechanics] 92m:46051 


Items with secondary classifications in 46Fxx 


Hansen, Frank The Moyal product and spectral theory for a class of infinite-dimensional 
matrices. 92j:81111 
Nemzer, Dennis Periodic generalized functions. 92a:44003 





733 1992 


46F05 Topological linear spaces of test functions, distributions 
and ultradistributions [see also 46E10, 46E35] 


Abdullah, Saleh On distributions of rapid growth. 92¢:46076 

Beattie, Ronald (with Butzmann, H.-P.) Convergence and distributions. 92m:46052 

Butzmann, H.-P. see Beattie, Ronald, 92m:46052 

Canavati, José A. (with Galaz Fontes, Fernando) Space of distributions induced by certain 
families of linear operators. 92k:46062 

Cioranescu, Ioana The characterization of the almost periodic ultradistributions of Beurling 
type. 92k:46063 

Galaz Fontes, Fernando see Canavati, José A., 92k:46062 

Hoskins, Roy Frank (with de Sousa Pinto, J.) A nonstandard realization of the J. S. Silva 
axiomatic theory of distributions. 92j:46066 

Kang, Bu-Hyeon see Pahk, Dae Hyeon, 92k:46064 

Motos, Joaquin (with Planells, Maria Jesis) Type and cotype of some vector-valued 
distribution spaces. (Spanish) (see 92g:00024) 

Pahk, Dae Hyeon (with Kang, Bu-Hyeon) Sobolev spaces in the generalized distribution 
spaces of Beurling type. 92k:46064 

Picard, Rainer H. Hilbert spaces of tempered distributions, Hermite expansions and 
sequence spaces. 92k:46065 

Pilipovié, Stevan A topology of the Hilbert transform of Beurling ultradifferentiable 
functions. (Serbo-Croatian summary) 924:46099 

Planells, Maria Jestis see Motos, Joaquin, (92g:00024) 

de Sousa Pinto, J. Silva tempered ultradistributions. 92¢:46077 

— see also Hoskins, Roy Frank, 92j:46066 

Todorov, Todor D. Pointwise kernels of Schwartz distributions. 92f:46047 

Uryga, Jacek On representations of generalized functions of Gel’fand-Shilov type. (Russian 
summary) 92¢e:46078 

Zasorin, Yu. V. Orthogonal decompositions of distributions. (Russian) 92i:46045 


Items with secondary classifications in 46F05 

Beattie, Ronald (with Butzmann, H.-P.) On the Banach-Steinhaus theorem and the 
continuity of bilinear mappings. 92h:46070 

Butzmann, H.-P. see Beattie, Ronald, 92h:46070 

Cumming, J. (with van Eijndhoven, S. J. L.) * Inductive and projective limits of weighted 
unconditional Schauder systems. 92h:46006 

Drin’, Ya. M. see Gorodetskii, V. V., 92k:35308 

Duran Guardeiio, Antonio J. The analytic functionals in the lower half plane as a Gel’fand- 
Shilov space. 92m:46059 

van Eijndhoven, S. J. L. see Cumming, J., 92h:46006 

Feichtinger, Hans G. Generalized amalgams, with applications to Fourier transform. 
92f:46038 

Gorodetskii, V. V. (with Drin’, Ya. M.) Parabolic pseudodifferential equations in spaces of 
generalized periodic functions. (Russian. English summary) 92k:35308 

— (with Zhitaryuk, I. V.) The Cauchy problem for a class of parabolic systems with a Bessel 
operator in spaces of generalized functions. (Russian. English summary) 92m:35119 

Ivanov, Valentin Konstantinovich (with Melnikova, I. V.) New generalized functions and 
weak well-posedness of operator problems. (Russian) 92j:46069 

Karunakaran, V. (with Soundararajan, T.) An integral of Ramanujan and the space of 
rapidly decreasing functions. 92a:46048 

Kirillov, A. I. Two mathematical problems of canonical quantization. I. (Russian. English 
summary) 92g:81091 

Ligeza, Jan Applications of the smooth integral in the theory of weak solutions of ordinary 
differential equations. (Russian and Czech summaries) 92a:34022 

Lopushanskii, O. V. Continuous semigroups in locally convex algebras. (Russian. Ukrainian 
summary) 92e:47065 

Meise, Reinhold (with Taylor, B. A.; Vogt, Dietmar) Partial differential operators with 
continuous linear right inverse. 92b:46122 

Melnikova, I. V. see Ivanov, Valentin Konstantinovich, 92j:46069 

Nazarov, V.I. see Zabreiko, P. P., 92e:46069 

Pilipovié, Stevan On the convolution in the space of Beurling ultradistributions. 92¢:46086 

Soundararajan, T. see Karunakaran, V., 92a:46048 

de Sousa Pinto, J. Ultradistributions and continuous linear operators from Z into 2’. 
92g:46041 

Stankovi¢, Bogoljub de Haan’s class of distributions. I. (Serbo-Croatian summary) 
92g:46042 

Taylor, B. A. see Meise, Reinhold; et al., 92b:46122 

Vogt, Dietmar see Meise, Reinhold; et al., 92b:46122 

Zabreiko, P. P. (with Nazarov, V.1.) Roumieu-Sobolev spaces. (Russian. English summary) 
92¢:46069 

Zhitaryuk, I. V. see Gorodetskii, V. V., 92m:35119 


46F10 Operations with distributions 


Antonevich, A. B. (with Radyno, Ya. V.) A general method for constructing algebras of 
generalized functions. (Russian) 92h:46054 

Chaudhry, M. Aslam Cauchy representation of distributions and applications to probability. 
92a:46043 

Cheng, Lin Zhi (with Li, Cheng Kuan) A commutative neutrix product of distributions on 
R”™. 92j:46067 

Cioranescu, Ioana Moment sequences for ultradistributions. 92g:46039 

Deeba, Elias Y. (with Koh, E. L.) d’Alembert functional equations in distributions. 
92k:46066 

Feichtinger, Hans G. An elementary approach to the generalized Fourier transform. 
92h:46055 

Fisher, Brian Neutrices and distributions. (see 92d:30002) 

— On two definitions of the noncommutative convolution product of distributions. (Serbo- 
Croatian summary) 92e:46079 

— On the neutrix convolution product x' @ xi. 92b:46054 


46F Distributions, generalized functions, distribution spaces 


46F10 


— (with Kuan, Li Chen; Takati, Arpad) The neutrix convolution product in Z’ and the 
exchange formula. 92b:46055 

— A result on the neutrix convolution product of distributions. 92b:46056 

— On powers of Heaviside’s function. (Serbo-Croatian summary) 92m:46053 

— Extensions of two theorems on the neutrix convolution product of distributions. 
92e:46081 

— (with Ozcag, Emin) The neutrix convolution product x~' @ x. 92k:46067 

— see also Ozcag, Emin, 92e:46080; 92j:46070 and Todorov, Todor D., 92):46071 

Gabardo, Jean-Pierre Tempered distributions supported on a half-space of R” and their 
Fourier transforms. 92h:46056 

Gramchev, Todor Nonlinear maps in spaces of distributions. 92j:46068 

Gundlach, Andreas Parameterabhangige nichtkommutative Distributionenalgebren. 
[Parameter-dependent noncommutative distribution algebras] 92f:46048 

Ivanov, Valentin Konstantinovich (with Melnikova, I. V.) New generalized functions and 
weak well-posedness of operator problems. (Russian) 92j:46069 

Jelinek, Jiti Distinguishing example for the Tillmann product of distributions. 92a:46044 

Kamitiski, Andrzej (with Rudnicki, Ryszard) A note on the convolution and the product D’ 
and S’. 92¢:46047 

Koh, E. L. see Deeba, Elias Y., 92k:46066 

Korobeinik, Yu. F. Solvability of the convolution equation in some classes of analytic 
functions. (Russian) 924:46100 

Kuan, Li Chen see Fisher, Brian; et al., 92b:46055 

Kuribayashi, Yukio Hyperfunctions and generalized functions. 92k:46068 

Li, Cheng Kuan see Cheng, Lin Zhi, 92j:46067 

Ligeza, Jan Product of measures and regulated functions. 92a:46045 

Lysik, Grzegorz On the structure of Mellin distributions. 92b:46057 

Marchioni, Giovanna Solvability in Gevrey spaces of convolution equations. (Italian. 
English summary) 92m:46054 

Marino, Giuseppe (with Pietramala, Paolamaria; Struppa, Daniele Carlo) Factorization of 
solutions of convolution equations. II. 92¢:46082 

Meise, Reinhold (with Taylor, B. A.; Vogt, Dietmar) Characterization of the linear partial 
differential operators with constant coefficients that admit a continuous linear right 
inverse. (French summary) 92¢:46083 

MeInikova, I. V. see Ivanov, Valentin Konstantinovich, 92j:46069 

Norvidas, S. T. Differential inequalities in Banach spaces of entire functions. I. (Russian. 
English and Lithuanian summaries) 92¢:46084 

Ortner, Norbert (with Wagner, Peter?) Applications of weighted Dj,-spaces to the 
convolution of distributions. (Russian summary) 92b:46058 

Ozcag, Emin (with Fisher, Brian) Results on the neutrix convolution of distributions. 
(Serbo-Croatian summary) 92¢:46080 

— (with Fisher, Brian) On defining the distribution x7"In°x,. 92j:46070 

— see also Fisher, Brian, 92k:46067 

Panzone, Pablo A. * On the product of distributions. 92¢:46085 

Petrov, E. E. Residues of the generalized function |det x|+ sgn” (det x). (Russian) 
92m:46055 

Pietramala, Paolamaria see Marino, Giuseppe; et al., 92e:46082 

Pilipovié, Stevan On the S-asymptotic of tempered and K{-distributions. III. Structural 
theorems. (Serbo-Croatian summary) 92¢:46087a 

— On the S-asymptotic of tempered and K{-distributions. IV. S-asymptotic and the ordinary 
asymptotic. (Serbo-Croatian summary) 92¢:46087b 

— Remarks on the distributional Stieltjes transformation and the S-asymptotic. (Serbo- 
Croatian summary) 92¢:46087c 

— The translati ymptotic and the quasiasymptotic behaviour of a distribution. 
92g:46040 

— On the behaviour of distributions at infinity, Wiener-Tauberian type results. 92e:46088 

— On the convolution in the space of Beurling ultradistributions. 92¢:46086 

Radyno, Ya. V. see Antonevich, A. B., 92h:46054 

Rudnicki, Ryszard see Kamiriski, Andrzej, 92c:46047 

Schmeelk, John A guided tour of new tempered distributions. 924:46101 

Shelkovich, V.M. An associative algebra of distributions and multipliers. (Russian) 
921:46046 

— (with Yuzhakov, A. P.) The structure of a class of asymptotic distributions of V. K. 
Ivanov. (Russian) 92m:46056 

de Sousa Pinto, J. Ultradistributions and continuous linear operators from Z into 2’. 
92g:46041 

Stankovi¢é, Bogoljub de Haan’s class of distributions. I. (Serbo-Croatian summary) 
92g:46042 

— Regularly varying distributions. 92c:46048 

Struppa, Daniele Carlo see Marino, Giuseppe; et al., 92e:46082 

Takati, Arpad see Fisher, Brian; et al., 92b:46055 

Taylor, B. A. see Meise, Reinhold; et al., 92¢:46083 

Todorov, Todor D. (with Fisher, Brian) A commutative product with distribution vectors. 
92j:46071 

Trimeche, K. Transformation intégrale de Weyl généralisée associée 4 un opérateur 
différentiel singulier sur (0, 00) et probleme de radiation de Weinstein généralisé. (English 
summary) [Generalized integral Weyl transform associated with a singular differential 
operator on (0,00) and the Weinstein generalized radiation problem] 92j:46072 

Uryga, Jacek On tensor product and convolution of generalized functions of Gel’fand- 
Shilov type. 92d:46102 

Vogt, Dietmar see Meise, Reinhold; et al., 92e:46083 

Wagner, Peter? On the multiplication and convolution of homogeneous distributions. 
92¢:46049 

— see also Ortner, Norbert, 92b:46058 

Wawak, Ryszard On the Colombeau product of distributions. 92a:46046 

Yuzhakov, A. P. see Shelkovich, V. M., 92m:46056 





Items with secondary classifications in 46F10 


Abdullah, Saleh On distributions of rapid growth. 92¢:46076 
Baker, John A. Functional equations, distributions and approximate identities. 92c¢:39016 





46F10 


Belingeri, C. A Cauchy problem for a parabolic equation in spaces of ultradistributions. 
(Italian. English summary) 92b:35073 

Ber, M. G. (with Malozémov, V. N.; Pevnyi, A. B.) Approximation of a delta function by 
algebraic polynomials. (Russian. English summary) 92g:41006 

Charushnikov, V. D. Extension and restriction theorems in classes of periodic generalized 
functions. (Russian) 92k:46047 

Cioranescu, Ioana The characterization of the almost periodic ultradistributions of Beurling 
type. 92k:46063 

Cooke, Kenneth L. see Wiener, Joseph; et al., 92k:34010 

Dahmen, Wolfgang (with Jia, Rong Qing; Micchelli, Charles A.) On linear dependence 
relations for integer translates of compactly supported distributions. 92j:41020 

Duran Guardeito, Antonio J. Characterization of rapidly decreasing functions with zero 
Stieltjes moments via a Hankel transform. (Spanish. English summary) (see 92b:00044) 

Epifanio, Giuseppina (with Trapani, Camillo) Partial «-algebras and Volterra convolution 
of distribution kernels. 924:46138 

Estrada, Ricardo (with Kanwal, R. P.) Nonclassical derivation of the transport theorems for 
wave fronts. 92g:26005 

Gindikin, S. G. see Volevich, L. R., 92i:35001 

Grafakos, Loukas Endpoint bounds for an analytic family of Hilbert transforms. 92f:44008 

Jia, Rong Qing see Dahmen, Wolfgang; et al., 92j:41020 

Kaminski, Andrzej On distributional solutions of the generalized entropy equation. 
924:39019 

— (with Rathie, Pushpa Narayan) Distributional solutions of Kurepa’s equation of 
multiplicative type. 92d:39020 

Kanwal, R. P. see Estrada, Ricardo, 92g:26005 

Kirillov, A. I. Two mathematical problems of canonical quantization. I. (Russian. English 
summary) 92g:81091 

Klis, Czestaw On a representation of the algebra .% of Mikusinski operators. 92c:44006 

Kovalenko, I. A. (with Roitberg, Ya. A.) Solvability of boundary value problems that are 
elliptic with a parameter for general systems of equations in Lp-spaces of generalized 
functions. (Russian) 92f:35057 

Lafon, F. (with Oberguggenberger, Michael) Generalized solutions to symmetric hyperbolic 
systems with discontinuous coefficients: the multidimensional case. 92h:35039 

Li, Peiqing see Ramm, A. G., 92a:65353 

Ligeza, Jan On generalized solutions of some differential equations. 92b:34010 

— The distributional solutions of some systems of linear differential equations. 92b:34019 

Lopushans‘ka, G. P. An approach to the study of boundary value problems in spaces 
of distributions, and boundary integral equations. (Russian. Ukrainian summary) 
92)j:35030 

Lysik, Grzegorz Generalized Taylor expansions of singular functions. 92g:46044 

Malozémov, V. N. see Ber, M. G.; et al., 92g:41006 

Melnikov, E. V. A closed graph theorem and generalized well-posedness of the abstract 
Cauchy problem. (Russian) 92k:46013 

Miccheili, Charles A. see Dahmen, Wolfgang; et al., 92j:41020 

Nazarov, V.I. see Zabreiko, P. P., 92e:46069 

Oberguggenberger, Michael The Carleman system with positive measures as initial data— 
generalized solutions. 92f:82055 

— see also Lafon, F., 92h:35039 

Pakholok, B. B. see Tatsii, R. M., 92c:34008 

Persson, Jan Distribution differential equations. Regularization and bending of a rod. 
92a:34007 


Pevnyi, A. B. see Ber, M. G.; et al., 92g:41006 

Plis, Maria E. The Mellin analytic functionals and the Laplace-Beltrami operator on the 
Minkowski half-plane. 92g:46045 

Ramm, A. G. (with Li, Peiqing) Numerical solution of some integral equations in 
distributions. 92a:65353 

Rathie, Pushpa Narayan see Kamiriski, Andrzej, 92d:39020 

Roitberg, Ya. A. see Kovalenko, I. A., 92:35057 

Rosinger, Elemer E. Characterization for the solvability of nonlinear partial differential 
equations. 92£:35042 

Rudakov, I. A. A convolution equation in Gevrey spaces. (Russian) 92k:47053 

Shah, Swarupchand M. see Wiener, Joseph; et al., 92k:34010 

Shatalov, V. E. see Sternin, B. Yu., 92k:46071 

Stankovi¢, Bogoljub S-asymptotic of solutions of the elliptic partial differential equation. 
(Serbo-Croatian summary) 92a:35026 

Sternin, B. Yu. (with Shatalov, V.E.) The Fourier-Maslov transformation in a space of 
multivalued analytic functions. (Russian) 92k:46071 

Strube, Dieter Collision theory for massless particles in the framework of a Wightman field 
theory. 92c:81085 

Tarkhanov, N. N. * Metog napametpukca B TeopuH AudepeHUMabHbIX KOMIJICKCOB. 
(Russian) [The parametrix method in the theory of differential complexes] 92j:58100 

Tatsii, R. M. (with Pakholok, B. B.) On the order of generalized functions in the right-hand 
sides of differential equations. (Russian. English summary) 92¢:34008 

Trapani, Camillo see Epifanio, Giuseppina, 924:46138 

Uryga, Jacek On representations of generalized functions of Gel’fand-Shilov type. (Russian 
summary) 92¢:46078 

Volevich, L.R. (with Gindikin, S.G.) The Cauchy problem. (Russian) 92i:35001 

Wiener, Joseph (with Cooke, Kenneth L.; Shah, Swarupchand M.) Coexistence of analytic 
and distributional solutions for linear differential equations. II. 92k:34010 

Wysocki, Hubert Distributions of finite order in the operational calculus. 92f:44014 

Zabreiko, P. P. (with Nazarov, V.1.) Roumieu-Sobolev spaces. (Russian. English summary) 
92¢:46069 

Zaidman, Samuel * Distributions and pseudo-differential operators. 92g:47082 

Zasorin, Yu. V. Orthogonal decompositions of distributions. (Russian) 92i:46045 


46F12 Integral transforms in distribution spaces [see also 42-XX, 
44-XX] 


Barrios, Javier A. (with Betancor, Jorge Juan) On K, transformation of distributions. 
925:46073 


FUNCTIONAL ANALYSIS 


— see also Betancor, Jorge Juan, 92m:46057 

Betancor, Jorge Juan (with Negrin, E.R.) The Hankel-Clifford transform on the spaces 
F,,. (Spanish. English summary) (see 92g:00024) 

— (with Farifia Gil, Juan Carlos) On the Hankel-Clifford transform in spaces of type S. 
(Spanish. English summary) (see 92g:00024) 

— (with Negrin Aguirre, Juan Ramén) On a generalized Hankel-Schwartz transform. 
(Spanish. English summary) (see 92g:00024) 

— (with Barrios, Javier A.) Some classes of generalized functions transformable Hankel. 
92m:46057 

— Characterization of Hankel transformable generalized functions. 924:46103 

— see also Barrios, Javier A., 92j:46073 

Caola, M. J. Seif-Fourier functions. 92i1:46047 

Carton-Lebrun, C. Continuity and inversion of the Hilbert transform of distributions. 
92h:46057 

Dickson, Douglas G. Factoring Fourier transforms. 92k:46069 

Drozhzhinov, Yu. N. see Viadimirov, V. S.; et al., 92m:46058 

Faria Gil, Juan Carlos see Betancor, Jorge Juan, (92g:00024) 

Glaeske, Hans-Jiirgen On the Wiener-Laguerre transform of generalized functions. 
92a:46047 

— see also Saigo, Megumi, 92j:46074 

Karunakaran, V. (with Soundararajan, T.) An integral of Ramanujan and the space of 
rapidly decreasing functions. 92a:46048 

Linares Linares, Manuel (with Méndez Pérez, José Manuel Romulo) A note on the 
generalized Bessel transform. (Spanish. English summary) (see 92b:00044) 

— (with Méndez Pérez, José Manuel Romulo) The real distributional Bessel transform. 
(Spanish. English summary) (see 92m:00049) 

Matudi, Josef The Fourier integral for a certain class of distributions. (Czech summary) 
92e:46089 

Méndez Pérez, José Manuel Romulo (with Socas Robayna, Martin M.) Dini series 
expansions in some generalized-function spaces. (Spanish. English summary) (see 
92g:00024) 

— (with Negrin Aguirre, Juan Ram6én) On the finite Hankel-Schwartz transformation of 
distributions. 92i:46048 

— (with Socas Robayna, Martin M.) The finite Hankel-Schwartz transform of the third kind 
in some distribution spaces. (Spanish. English summary) (see 92b:00044) 

— (with Sanchez Quintana, Ana M.) The Schwartz’s Hankel transformations on certain 
spaces of generalized functions. 92f:46049 

— (with Socas Robayna, Martin M.) The Hankel-Clifford transform in certain distribution 
spaces. (Spanish. English summary) 92b:46059 

— see also Linares Linares, Manuel, (92b:00044); Sanchez Quintana, Ana M., (92b:00044); 
Socas Robayna, Martin M., (92g:00024) and Linares Linares, Manuel, (92m:00049) 

Negrin, E. R. see Betancor, Jorge Juan, (92g:00024) 

Negrin Aguirre, Juan Ramén see Méndez Pérez, José Manuel Romulo, 92i:46048 and 
Betancor, Jorge Juan, (92g:00024) 

Ning, Ya Qin 6 ")(t)-functions and their applications to Laplace transforms. (Chinese. 
English summary) 92i:46049 

Pandey, J. N. see Singh, Om Prakash! , 92g:46043 and 92j:46075 

Radzhabov, E. L. The space of Zemanian distributions for the Bessel integral. (Russian. 
Tajiki summary) 92f:46050 

Rao, G. L. N. Analytic representation of certain integral transforms of a class of Schwartz 
distributions. 92k:46070 

Rodriguez Expésito, José An operational calculation of the integral L!?)transform in a 
distribution space. (Spanish. English summary) (see 92g:00024) 

— A testing function space for a variant of the Kratzel integral transform. (Spanish. English 
summary) (see 92b:00044) 

Saigo, Megumi (with Glaeske, Hans-Jiirgen) Fractional calculus operators involving the 
Gauss function on spaces F,,, and F,,. 92j:46074 

Sanchez Quintana, Ana M. A generalization of Lee spaces and the modified Hankel 
transform. (Spanish. English summary) (see 92b:00044) 

— (with Méndez Pérez, José Manuel Romulo) A variant of the Hankel transform in spaces 
of Gel’fand-Shilov type. (Spanish. English summary) (see 92b:00044) 

— see also Méndez Pérez, José Manuel Romulo, 92£:46049 

Shatalov, V. E. see Sternin, B. Yu., 92k:46071 

Singh, Om Prakash! (with Pandey, J. N.) The n-dimensional Hilbert transform of 
distributions, its inversion and applications. 92g:46043 

— (with Pandey, J. N.) The Fourier-Bessel series representation of the pseudo-differential 
operator (—x~!D)”. 92):46075 

Sinha, Sunil Kumar! Some characterizations of the extended Hankel transform for 
distributions. 92¢:46050 

— On two new characterizations of J transform for distributions. 92j:46076 

Socas Robayna, Martin M. (with Méndez Pérez, José Manuel Romulo) The complex 
Hankel-Clifford transformation in distribution spaces. (Spanish. English summary) (see 
92g:00024) 

— see also Méndez Pérez, José Manuel Romulo, 92b:46059; (92b:00044) and (92g:00024) 

Soundararajan, T. see Karunakaran, V., 92a:46048 

Stankovi¢, Bogoljub Abelian theorems for the Stieltjes-Hilbert transform of distributions. 
(Serbo-Croatian summary) 92a:46049 

Sternin, B. Yu. (with Shatalov, V. E.) The Fourier-Maslov transformation in a space of 
multivalued analytic functions. (Russian) 92k:46071 

Szmydt, Zofia Paley-Wiener theorems for the Mellin transformation. 92¢:46090 

Takati, Arpad Asymptotic bounds for the distributional Stieltjes transformation. 
92d:46104 

Vinogradova, G. A. Smoothness on the unit sphere of the Fourier transform of a homoge- 
neous generalized function. (Russian) 92h:46058 

Viadimirov, V.S. (with Drozhzhinov, Yu. N.; Zav‘yalov, B. 1.) Tauberian theorems for 
distributions. 92m:46058 

Walker, W. J. Zeros of the Fourier transform of a distribution. 92a:46050 

Zav'yalov, B. I. see Viadimirov, V. S.; et al., 92m:46058 





735 1992 


Items with secondary classifications in 46F12 

Ahirrao, B. R. (with More, S. V.) Some Abelian theorems of distributional Hardy 
transformations. 92f:44007 

van Berkel, C. A. M. see van Eijndhoven, S. J. L., 924:46063 

Betancor, Jorge Juan A generalized Hankel transformation of distributions and a Cauchy 
problem involving the Bessel type operator Bay,a,,a,; = X° Dx™ Dx™. 92j:44001 

— On the Watson-Wright transformation on certain weighted L,-spaces. 92m:44009 

Drozhzhinov, Yu. N. (with Zav’yalov, B. I.) On multidimensional generalizations of 
regularly varying functions and Tauberian and Abelian theorems. 924:40003 

van Eijndhoven, S. J. L. (with van Berkel, C. A. M.) Hankel transformations and spaces of 
type S. 924:46063 

Embacher, H. G. (with Gribl,G.) Fourier representation for the two-point function of the 
two-dimensional massless scalar field. 

Gabardo, Jean-Pierre Tempered distributions supported on a half-space of R” and their 
Fourier transforms. 92h:46056 

Glaeske, Hans-Jiirgen On the Wiener-Laguerre transform. (see 92d:30002) 

Gribl, G. see Embacher, H. G. 

Gupta, A.C. (with Mahato, A. K.) Ona generalized Whittaker transform. 92m:44005 

Linares Linares, Manuel (with Méndez Pérez, José Manuel Romulo) An extension of the 
Hankel integral transform. (Spanish. English summary) 92m:44013 

Lysik, Grzegorz On the structure of Mellin distributions. 92b:46057 

Mahato, A. K. see Gupta, A. C., 92m:44005 

Méndez Pérez, José Manuel Romulo (with Socas Robayna, Martin M.) A pair of general- 
ized Hankel-Clifford transformations and their applications. 92c:44004 

— see also Linares Linares, Manuel, 92m:44013 

More, S. V. see Ahirrao, B. R., 92f:44007 

Nikolié-Despotovi¢, Danica (with Pilipovi¢, Stevan) The quasiasymptotic expansion of 
tempered distributions and the Stieltjes transform. (Serbo-Croatian summary) 924:44008 

— (with Pilipovié, Stevan) On the behaviour of the Stieltjes transformation at the origin. 
(Serbo-Croatian summary) 92k:44005 

Pilipovi¢, Stevan Remarks on the distributional Stieltjes transformation and the S- 
asymptotic. (Serbo-Croatian summary) 92¢:46087c 

— Beurling-Gevrey tempered ultradistributions as boundary values. 92m:46060 

— see also Nikolié-Despotovié, Danica, 92d:44008 and 92k:44005 

Schmeelk, John Fourier transforms in generalized Fock spaces. 92d:46107 

Singh, Mangal Nath see Sinha, Sunil Kumar! 

Sinha, Dhrub Kumar see Sinha, Sunil Kumar! 

Sinha, Sunil Kumar! On two new characterizations of the generalized Kontorovich-Lebedev 
transform for distributions of compact support. 924:44010 

— (with Singh, Mangal Nath) On two new characterizations of the generalized Whittaker 
transform for distributions. 

— (with Sinha, Dhrub Kumar) Multi-dimensional Legendre transform for distributions. 

Socas Robayna, Martin M. see Méndez Pérez, José Manuel Romulo, 92c:44004 

de Sousa Pinto, J. Ultradistributions and continuous linear operators from Z into 2’. 
92g:46041 

Zav'yalov, B.1. see Drozhzhinov, Yu. N., 92d:40003 


46F15 Hyperfunctions, analytic functionals [see also 32A25, 
32A45, 32C35, 58G07] 


Avanissian, Vazgain Quelques applications des fonctionelles analytiques. [Some applica- 
tions of analytic functionals] 92d:46105 

Duran Guardeiio, Antonio J. The analytic functionals in the lower half plane as a Gel’fand- 
Shilov space. 92m:46059 

Krivosheev, A.S. Uniqueness of supports of analytic functionals. (Russian) (see 92f:00019) 

Lysik, Grzegorz Generalized Taylor expansions of singular functions. 92g:46044 

Plis, Maria E. The Mellin analytic functionals and the Laplace-Beltrami operator on the 
Minkowski half-plane. 92g:46045 

Ziemian, Bogdan Generalized Taylor expansions and theory of resurgent functions of Jean 
Ecalle. 92b:46060 

Znamenskii, S. V. Do convex supports of an analytic functional always have a common 
point? (Russian) 92k:46072 


Items with secondary classifications in 46F15 

Andersson, Mats (with Passare, Mikael) Complex Kergin interpolation and the Fantappié 
transform. 92j:32046 

Avanissian, Vazgain (with Supper, Raphaéle) Fonctionnelles analytiques et sommes 
de séries de puissances a coefficients produits de polynémes orthogonaux. (English 
summary) [Analytic functionals and sums of power series whose coefficients are products 
of orthogonal polynomials] 92¢:32002 

Iagolnitzer, D. Microlocal analysis and phase-space decompositions. 92a:42019 

Komatsu, Hikosaburo Operational calculus and Japan. 92a:01053 

Kowata, Atsutaka On the construction of spherical hyperfunctions on R’*?. 92h:35033 

— Spherical hyperfunctions on the tangent space of symmetric spaces. 92h:43021 

Mannanov, M. M. Description of a class of analytic functionals. (Russian) 92h:32007 

Marino, Giuseppe (with Pietramala, Paolamaria; Struppa, Daniele Carlo) Factorization of 
solutions of convolution equations. II. 92¢:46082 

Marti, J.-A. Sur la rigidité comparée de fonctions, distributions, ou hyperfonctions 
analytiques par rapport a un groupe de variables. (English summary) [Comparative 
rigidity of analytic functions, distributions and hyperfunctions with respect to a set of 
variables] 92g:32012 

Muro, Masakazu Invariant hyperfunctions on regular prehomogeneous vector spaces of 
commutative parabolic type. 92d:32043 

Nemzer, Dennis Periodic Boehmians. II. 92h:46059 

Passare, Mikael see Andersson, Mats, 92j:32046 

Paolamaria see Marino, Giuseppe; et al., 92e:46082 

Soldatov, A. P. %& OnHomepubie CHHryApHbie OnepaTopbi H Kpaesbie 3a4a4H Teopun PyHKUAA. 
(Russian) [One-dimensional singular operators and boundary value probl in function 
theory] 92i:47060 





46G Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) 


Struppa, Daniele Carlo see Marino, Giuseppe; et al., 92e:46082 
Supper, Raphaéle see Avanissian, Vazgain, 92c:32002 
Tajima, Shinichi Unique continuation theorem for CR-hyperfunctions. 924:32010 


46F20 Distributions and ultradistributions as boundary values of 
analytic functions [see also 30D40, 30E25, 32A40] 


Pilipovié, Stevan Beurling-Gevrey tempered ultradistributions as boundary values. 
92m:46060 


46F25 Distributions on infinite-dimensional spaces 
[see also 58C35] 


Bogachev, V.1. Distributions of analytic functionals of random processes. (Russian) 
92b:46061 

Koldobskii, A. L. Convolution equations in certain Banach spaces. 92e:46091 

Krée, Paul Distributions, Sobolev spaces on Gaussian vector spaces and Ito’s calculus. 
92d:46106 

Potthoff, Jirgen (with Réckner, Michael) On the contraction property of energy forms on 
infinite-dimensional space. 92a:46051 

Réckner, Michael see Potthoff, Jiirgen, 92a:46051 

Schmeelk, John Fourier transforms in generalized Fock spaces. 924:46107 


Items with secondary classifications in 46F25 

Albeverio, Sergio (with Kusuoka, Shigeo; Réckner, Michael) On partial integration in 
infinite-dimensional space and applications to Dirichlet forms. 92h:31009 

Ali, Hoda A. Negative definite kernels of infinitely many variables. 92h:43016 

Asch, Joachim (with Potthoff, Jiirgen) White noise and stochastic analysis. 92a:60127 

Badrikian, Albert * Calcul stochastique anticipatif par rapport 4 une mesure gaussi- 
enne. (French) [Anticipative stochastic calculus with respect to a Gaussian measure] 
92k:60110 

Esquivel, Manuel L. On some applications of harmonic analysis to a class of random 
distributions. (Portuguese. English summary) (see 92m:00049) 

Khrennikov, A. Yu. Generalized functions and Gaussian path integrals over non- 
Archimedean function spaces. (Russian) 92j:46139 

Kusuoka, Shigeo see Albeverio, Sergio; et al., 92h:31009 

Li, Yi Chia Analytic version of test functionals, Fourier transform, and a characterization 
of measures in white noise calculus. 92k:60186 

Masuda, Tetsuya (with Watanabe, Junsei) Sur les espaces vectoriels topologiques associés 
aux groupes quantiques SU,(2) et SU,(1, 1). (English summary) [On the topological 
vector spaces associated with the quantum groups SU,(2) and SU,(1,1)] 92b:58022 

Potthoff, Jiirgen see Asch, Joachim, 92a:60127 

Réckner, Michael see Albeverio, Sergio; et al., 92h:31009 

Schmeelk, John A guided tour of new tempered distributions. 92d:46101 

Watanabe, Junsei see Masuda, Tetsuya, 92b:58022 


46F99 None of the above, but in this section 
Nemzer, Dennis Periodic Boehmians. II. 92h:46059 


Items with secondary classifications in 46F99 

Arisumi, T. Propagation of Gevrey singularities for a class of microdifferential operators. 
92i:35004 

Babiatiski, Wojciech (with Bittner, Ryszard) Nonlinear operational calculus. 92g:44011 

Bittner, Ryszard see Babiatiski, Wojciech, 92g:44011 

Felix, Rainer Darstellungstheorie nilpotenter Lie-Gruppen. Ein distrib heoretischer 
Zugang. [Representation theory of nilpotent Lie groups. A distribution-theoretical 
approach] 92h:22017 

Ryan, John Domains of holomorphy as initial data for Dirac equations in C". 92j:30051 

Taylor, Michael E. * Pseudodifferential operators and nonlinear PDE. 92j:35193 





46Gxx Measures, integration, derivative, holomorphy 
(all involving infinite-dimensional spaces) {For 
nonlinear functional analysis, see 47Hxx, 58-XX, 
especially 58Cxx.} 


Items with secondary classifications in 46Gxx 

Ali, Hoda A. Negative definite kernels of infinitely many variables. 92h:43016 

Bogachev, V. I. Smooth measures, the Malliavin calculus and approximations in infinite- 
dimensional spaces. 92h:58025 


46G05 Derivatives [see also 58C20, 58C25] 


Anderson, Mitch One-parameter submonoids in locally complete differentiable monoids. 
$2d:46108 

Attouch, Hédy (with Ndoutoume, James Louis; Théra, Michel) Epigraphical convergence of 
functions and convergence of their derivatives in Banach spaces. 92i:46050 

Bondar, A. V. (with Romanenko, V. Yu.) Operator conditions for C-differentiability. 
(Russian. Ukrainian summary) 92g:46046 

— (with Romanenko, V. Yu.) Conditions for the holomorphy of Lipschitz mappings of 
Hilbert spaces. (Russian. Ukrainian summary) 92g:46047 

Borwein, Jonathan M. Minimal CUSCOS and subgradients of Lipschitz functions. (French 
summary) 92j:46077 

— (with Fitzpatrick, Simon; Kenderov, P. S.) Minimal convex uscos and monotone 
operators on small sets. 92j:46078 

Castaiieda Bravo, Fernando (with Garcia Diez, I.; Otxoa de Alda, J. J.) Passage to the limit 
in convergence vector spaces. (Spanish. English summary) (see 92m:00049) 





46G05 


Cheng, Li Xin (with Li, Jian Hua'; Nan, Chao Xun) The Gateaux and Fréchet differen- 
tiability of continuous gauge functions on a Banach space. (Chinese. English summary) 
92k:46073 

Eyland, Roger (with Sharp, Bernice) A factor theorem for locally convex differentiability 
spaces. 92h:46060 

Fabian, Marian (with Preiss, David) On intermediate differentiability of Lipschitz 
functions on certain Banach spaces. 92g:46048 

Feller, M. N. The scope of harmonic functions of an infinite number of variables. I. 
(Russian. Ukrainian summary) 92b:46062 

— The scope of harmonic functions of an infinite number of variables. II. (Russian. 
Ukrainian summary) 92b:46063 

Fitzpatrick, Simon see Borwein, Jonathan M.; et al., 92j:46078 

Garcia Diez, I. see Castaiteda Bravo, Fernando; et al., (92m:00049) 

Georgiev, Pando Grigorov Fréchet differentiability of convex functions in separable Banach 
spaces. 92d:46109 

Godefroy, Gilles Comportement harmonique des fonctions différentiables sur certains 
espaces de Banach. [Harmonic behavior of differentiable functions on some Banach 
spaces] 924:46110 

Ioffe, Alexandre D. Variational analysis of a composite function: a formula for the lower 
second order epi-derivative. 92m:46061 

Jin, Cong see Wu, Cong Xin; et al., 92h:46062 

Kenderov, P.S. see Borwein, Jonathan M.; et al., 92j:46078 

Kurapin, G.I. The implicit mapping theorem for a class of topological modules. (Russian) 
92j:46079 

Li, Jian Hua’ see Cheng, Li Xin; et al., 92k:46073 

Linke, Yu. E. The problem of the existence of a subdifferential for continuous and compact 
sublinear operators. (Russian) 92j:46080 

Molodtsov, D. A. * IIpu6nuxeHHBIM HHTerpas B MHOTOMepHOM cyryyae. (Russian) [An 
approximate integral in the multidimensional case] 92k:46074 

Nan, Chao Xun see Cheng, Li Xin; et al., 92k:46073 

Ndoutoume, James Louis see Attouch, Hédy; et al., 921:46050 

Otxoa de Alda, J. J. see Castaiieda Bravo, Fernando; et al., (92m:00049) 

Preiss, David Almost differentiability of convex functions in Banach spaces and determina- 
tion of measures by their values on balls. 92h:46061 

— see also Fabiaén, Marian, 92¢:46048 

Romanenko, V. Yu. see Bondar, A. V., 92g:46046 and 92g:46047 

Shapiro, Alexander On concepts of directional differentiability. 92¢:46092 

Sharp, Bernice The differentiability of convex functions on topological linear spaces. 
924:46111 

— see also Eyland, Roger, 92h:46060 

Théra, Michel see Attouch, Hédy; et al., 92i:46050 

Wa, Cong Xin (with Jin, Cong) Differentiation of operators on fuzzy normed spaces. 
(Chinese. English summary) 92h:46062 

Zajitek, Ludék Smallness of sets of nondifferentiability of convex functions in nonseparable 
Banach spaces. 92d:46112 

— Fréchet differentiability, strict differentiability and subdifferentiability. 92j:46081 


Items with secondary classifications in 46G05 

Baitukenov, M.T. Formulas for the subdifferentiation of an implicit function for Lipschitz 
mappings. (Russian) 92h:49013 

Castagnoli, E. (with Mazzoleni, Piera) Differentiable (a,A)-concave functions. 92j:49007 

Chou, Chin Ch’éng Inverse function theorems for multifunctions in Fréchet spaces. 
92k:49026 

Contesse B., Luis (with Penot, Jean-Paul) Continuity of the approximate subdifferential. 
92i:49029 

Daletskii, A. Yu. On a quasiclassical approximation for a class of infinite-dimensional 
pseudodifferential equations. (Russian) 92g:35220 

Dem’yanov, V. F. (with Rubinov, A. M.) * OcxosbI HernagKoro aHasM3a H KBasHAddep- 
eHIMaIbHOe HCuNCHeHHe. (Russian) [Foundations of nonsmooth analysis, and quasidiffer- 
ential calculus] 92j:40001 

Espaiiol, L. (with Minguez, M. C.) Logical open sets of convenient spaces in the Cahiers 
topos. (Spanish) (see 92g:00024) 

Garay, Barnabas M. Deleting homeomorphisms and the failure of Peano’s existence 
theorem in infinite-dimensional Banach spaces. 92i:34081 

Georgiev, Pando Grigorov The smooth variational principle and generic differentiability. 
92e:49018 


a 1 Lea.KedAri. 1 





Maria (with Van Vleck, F.S.) Fréchet differentiability of regular 
locally Lipschitzian functions. 92h:58026 

— (with Van Vleck, F.S.) Fréchet vs. Gateaux differentiability of Lipschitzian functions. 
92g:26032 

Giles, J. R. (with Kutzarova, Denka N.) Characterisation of drop and weak drop properties 
for closed bounded convex sets. 924:46036 

Hajnosz, Andrzej (with Wedrychowicz, Stanislaw) A few remarks on Lipschitzian 
mappings. (Russian and Polish summaries) 92¢:47098 

Hikida, Masato On Taylor’s formula. 92d:58012 

— On Taylor’s formula. II. 92i:58018 

Kriegl, A. (with Nel, Louis Daniel!) Convenient vector spaces of smooth functions. 
92k:46010 

Kutzarova, Denka N. see Giles, J. R., 924:46036 

Margolis, Beatriz Quasi-differentiability: a formal approach. First and second gradient 
classes. 92¢:49024 

Mazzoleni, Piera see Castagnoli, E., 92j:49007 

Min, Kyung Chan (with Nel, Louis Daniel') Infinite-dimensional holomorphy via 
categorical differential calculus. 92b:46067 

Minguez, M.C. see Espaiiol, L., (92g:00024) 

Nel, Louis Daniel’ see Min, Kyung Chan, 92b:46067 and Kriegl, A., 92k:46010 

Penot, Jean-Paul see Contesse B., Luis, 92i:49029 

Poreda, Tadeusz Generalized differential equations for maps of Banach spaces. 92j:47139 

Rubinov, A.M. see Dem’yanov, V. F., 92j:40001 


FUNCTIONAL ANALYSIS 


1992 736 


Rybakowski, Krzysztof P. Formulas for higher-order finite expansions of composite maps. 
92k:58027 

— Formulas for higher-order Fréchet derivatives of composite maps, implicitly defined maps 
and solutions of differential equations. 92j:58010 

Simons, Stephen The least slope of a convex function and the maximal monotonicity of its 
subdifferential. 92k:49031 

Smorodina, N. V. Differential calculus on the configuration space: surfaces, surface 
measures, Gauss-Ostrogradskii formula. (see 92m:60004) 

Sukhinin, M. F. Differentiability with respect to parameters in the presence of a priori 
estimates. (Russian) 92j:47130 

Szab6, I. Clarke’s derivative. (Hungarian. English summary) 

Van Vleck, F.S. see Gieraltowska-Kedzierska, Maria, 92g:26032 and 92h:58026 

Wedrychowicz, Stanislaw see Hajnosz, Andrzej, 92¢:47098 





46G10 Vector-valued measures and integration [see also 28Bxx, 
46B22] 


Anantharaman, R. (with Diestel, J.) Sequences in the range of a vector measure. 92g:46049 

Ballvé, Ma. E. (with de Maria, José L.) On the dual of L* for locally convex spaces. 
92m:46062 

— (with Jiménez Guerra, Pedro) Operators and L* spaces. 92m:46063 

— (with Jiménez Guerra, Pedro) On the Radon-Nikodym theorem for operator valued 
measures. 92g:46050 

— (with Escribano, Ma. del Carmen) Orlicz spaces in bilinear vector integration. (Spanish. 
English summary) (see 92m:00049) 

Blasco De La Cruz, Oscar Vector valued measures of bounded mean oscillation. 92i:46051 

Bu, Shang Quan (with Schachermayer, Walter) Approximation of Jensen measures by 
image measures under holomorphic functions and applications. 92h:46063 

Chitescu, Ion A parametrical example of Dunford, Pettis and Bochner integration. 
92b:46064 

Delbaen, Freddy see Janicka, Liliana, 92h:46064 

Diestel, J. see Anantharaman, R., 92g:46049 

Escribano, Ma. del Carmen see Ballvé, Ma. E., (92m:00049) 

Fernandez y Fernandez-Arroyo, Fidel José On the product of operator valued measures. 
92¢:46093 

— (with Jiménez Guerra, Pedro) Projective limits of vector measures. 92¢:46094 

Filter, Wolfgang Hellinger-type integrals in Riesz spaces. 92g:46051 

Haluska, Jan On a Goguadze-Luzin’s L(X, Y)-measure condition in locally convex spaces. 
92d:46113 

Hamhalter, Jan Orthogonal vector measures. (see 92b:00045) 

Janicka, Liliana (with Delbaen, Freddy) Radon-Nikodym type representation for the 
variation of vector measure. 92h:46064 

Jefferies, Brian Summability in spaces of set functions. 92k:46075 

Jiménez Guerra, Pedro see Fernandez y Fernandez-Arroyo, Fidel José, 92¢:46094; Ballvé, 
Ma. E., 92g:46050 and 92m:46063 

de Maria, José L. see Ballvé, Ma. E., 92m:46062 

Martellotti, Anna (with Sambucini, Anna Rita) A Radon-Nikodym theorem for a pair of 
Banach-valued finitely additive measures. (Italian summary) 92h:46065 

Masani, P. (with Niemi, Hannu) An outline of the integration theory of Banach space 
valued measures. 92d:46114 

Niemi, Hannu see Masani, P., 92d:46114 

Papageorgiou, Nikolaos S. Radon-Nikodym theorems for multimeasures and transition 
multimeasures. 92f:46051 

Park, Chun Kee On a Radon-Nikodym theorem for finitely additive vector measures. 
92h:46066 

Paviakos, Panaiotis K. Convolutions and products of partially ordered vector-valued 
positive measures. 92d:46115 

Sambucini, Anna Rita see Martellotti, Anna, 92h:46065 

Schachermayer, Walter see Bu, Shang Quan, 92h:46063 

Schmidt, Klaus D. (with Waldschaks, Gerd) Common extensions of positive vector 
measures. 92j:46082 

Siudut, Stanislaw Generalizations of Natanson’s lemma. 92f:46052 

— Some remarks on theorems of Romanovski and Faddeev type. 92f:46053 

Stefansson, Gunnar F. Pettis integrability. 92f:46054 

Waldschaks, Gerd see Schmidt, Klaus D., 92j:46082 


Items with secondary classifications in 46G10 

Abbott, Catherine A. (with Bator, Elizabeth M.; Bilyeu, Russell G.; Lewis, Paul W.) Weak 
precompactness, strong boundedness, and weak complete continuity. 92b:46047 

Akemann, Charles A. (with Anderson, Joel) Lyapunov theorems for operator algebras. 
92¢:46113 

Anderson, Joel see Akemann, Charles A., 92e:46113 

Areshkin, G. Ya. (with Sidorina, T. A.) Functional operators and families of set functions. 
(Russian) (see 92g:47001) 

Bator, Elizabeth M. see Abbott, Catherine A.; et al., 92b:46047 

Benitez Trujillo, Francisco Study of some Boolean algebras using sequences of ordinals. 
(Spanish. English summary) (see 92b:00044) 

Bilyeu, Russell G. see Abbott, Catherine A.; et al., 92b:46047 

Bravo de la Parra, Rafael (with Jiménez Guerra, Pedro) Linear operators and vector 
integrals. 92¢:47034 

Bunce, L. J. (with Chu, Cho-Ho) Dual spaces of JB*-triples and the Radon-Nikodym 
property. 92j:46122 

Campiti, Michele The Riemann sequential convergence in spaces of vector-valued Riemann 
integrable functions. 92k:46055 

Candeal, Juan Carlos Vectorial extension of some results about multipliers (p, p). (see 
92b:00044) 

Chu, Cho-Ho see Bunce, L. J., 92j:45122 

Dang Hing Thang On the convergence of vector random measures. 92f:60081 

Dobrakov, Ivan Representation of multilinear operators on x Co(7;, X;). I. 92k:47058 





737 1992 


Dowling, Patrick N. Some applications of convolution of operators on Banach spaces. 
92k:46024 

Drewnowski, Lech (with Florencio, Miguel; Pail, Pedro J.) The space of Pettis integrable 
functions is barrelled. 92f:46045 

Fernandez y Fernandez-Arroyo, Fidei José (with Jiménez Guerra, Pedro) On the 
Prokhorov’s theorem for vector measures. 92g:28020 

— (with Jiménez Guerra, Pedro) On the Radon-Nikodym property for operator valued 
measures. 92m:28017 

Florencio, Miguel see Drewnowski, Lech; et al., 92f:46045 

Girardi, Maria Dentability, trees, and Dunford-Pettis operators on L;. 92¢:46030 

Gordon, Russell A. Riemann integration in Banach spaces. 92k:28017 

Haluska, Jan On the generalized continuity of the semivariation in locally convex spaces. 
92k:28018 

Hensgen, Wolfgang Some remarks on boundary values of vector-valued harmonic and 
analytic functions. 92j:46062 

Hrachovina, Ervin Individual ergodic theorem in a regular space. (Russian summary) 
92g:28026 

Hu, Di He Hausdorff measures with vector dimension. (Chinese) 92g:28021 

Jiménez Guerra, Pedro see Bravo de la Parra, Rafael, 92c:47034; Fernandez y Fernandez- 
Arroyo, Fidel José, 92g:28020 and 92m:28017 

Kalton, N. J. The Maharam problem. 92c:28005 

— (with Saab, Elias; Saab, Paulette) L?(X) (1 < p < oo) has the property (u) whenever X 
does. 92i:46041 

Kandilakis, Dimitrios A. On the extension of multimeasures and integration with respect to 
a multimeasure. 92k:28019 

Khurana, Surjit Singh Grothendieck spaces. II. 92i:46042 

Kruszytiski, P. Vector measures on lattices. 92k:28009 

Kusraev, A. G. (with Malyugin, S. A.) On the extension of finitely additive vector measures. 
(Russian) 92g:28023 

— On the structure of vector measures and complete Boolean algebras. (Russian) 92k:28020 

Landers, Dieter (with Rogge, Lothar) Inner and outer Banach-valued Loeb-measures. 
92i:28022 

Lewis, Paul W. see Abbott, Catherine A.; et al., 92b:46047 

Lipecki, Zbigniew Maximal and tight extensions of positive additive set functions. 
92b:28022 

Luo, Yue Hu (with Shen, Shi Yi) Extensions and decompositions of general operator 
measures (GOMs). (Chinese) 

Maeda, Michie On some cylindrical vector-valued measures. 92h:46067 

Malyugin, S. A. see Kusraev, A. G., 92g:28023 

Niifiez, Carmelo A note on the Dunford-Pettis property. (Spanish. English summary) (see 
92g:00024) 

Olech, Czeslaw The Lyapunov theorem: its extensions and applications. 92b:49011 

Oliveira, Paulo Eduardo On the total variation of Fréchet-space-valued measures. (Por- 
tuguese) (see 92g:00024) 

Osswald, Horst (with Sun, Yeneng) On the extensions of vector-valued Loeb measures. 
92g:28041 

Pail, Pedro J. see Drewnowski, Lech; et al., 92f:46045 

Paviakos, Panaiotis K. Integral representation theorems in partially ordered vector spaces. 
92j:46011 

Pineiro, Candido (with Rodriguez-Piazza, L.) Banach spaces in which every compact lies 
inside the range of a vector measure. 92¢:46038 

Polexe, Raluca Deux critéres pour la régularité des mesures vectorielles. (Romanian 
summary) [Two criteria for the regularity of vector measures] 

Porras, B. A note on the representing measures of operators defined on spaces of vector- 
valued continuous functions. 92g:47040 

Pulmannova, Sylvia Sum logics and Hilbert space. 92f:03070 

Puri, Madan L. (with Ralescu, Dan A.) Convergence theorem for fuzzy martingales. 
92i:60012 

Qu, Li Xue see Zhang, Bo’; et al., 92f:26044 

Ralescu, Dan A. see Puri, Madan L., 92i:60012 

Rodriguez-Piazza, L. see Piiieiro, Candido, 92¢:46038 

Rodriguez-Salazar, S. (with Soler, Mario) “Completion” of a a-algebra with respect to a 
vector measure. (Spanish) (see 92g:00024) 

Rodriguez-Salinas, Baltasar On the variation of an indefinite integral in Banach spaces. 
92h:28010 

Rogge, Lothar see Landers, Dieter, 92i:28022 

Saab, Elias (with Saab, Paulette) On unconditionally converging and weakly precompact 
operators. 924:46092 

— see also Kalton, N. J.; et al., 92i:46041 

Saab, Paulette see Saab, Elias, 92d:46092 and Kalton, N. J.; et al., 92i:46041 

Shen, Shi Yi see Luo, Yue Hu; et al. 

Sidorina, T. A. see Areshkin, G. Ya., (92g:47001) 

Soler, Mario see Rodriguez-Salazar, S., (92g:00024) 

Sun, Yeneng see Osswald, Horst, 92g:28041 

Zhang, Bo! (with Qu, Li Xue) Weak Riemann-Stieltjes integration of abstract func- 
tions with values in a locally convex topological algebra. (Chinese. English summary) 
92£:26044 


46G12 Measures and integration on abstract linear spaces 
[see also 28C20] 


Ahn, J. M. (with Johnson, Gerald W.; Skoug, David) Functions in the Fresnel class of an 
abstract Wiener space. 92k:46076 

Baker, Richard L. “Lebesgue measure” on R®. 92c:46051 

Burgin, M.S. Hypermeasures and hyperintegration. (Russian. English summary) 
92a:46052 

Chang, Joo Sup (with Johnson, Gerald W.) The Feynman integral and Feynman’s 
operational calculus: the “(L,(R), Co(R)) theory. 92d:46116 

Chang, Kun Soo (with Ryu, Kun Sik) A generalized Dyson series. (see 92m:46004) 


46G Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) 


46G12 


— (with Ryu, Kun Sik) Analytic operator valued function space integrals as an (Lp, Ly’) 
theory. 92:46055 

Chung, Dong Myung (with Park, Chull; Skoug, David) Operator-valued Feynman integrals 
via conditional Feynman integrals. 92c:46052 

Johnson, Gerald W. * Existence theorems for the analytic operator-valued Feynman 
integral. 92g:46052 

— Existence theorems for the analytic operator valued Feynman integral. 92j:46083 

— see also Chang, Joo Sup, 92d:46116 and Ahn, J. M.; et al., 92k:46076 

Khafizov, M. U. Some new results on differentiable measures. (Russian) 924:46117 

Maeda, Michie On some cylindrical vector-valued measures. 92h:46067 

Okb El-Bab, A. S. (with Zabel, A.M.) Harmonic analysis on linear topological spaces. 
92m:46064 

Park, Chull (with Skoug, David) Linear transformations of Wiener integrals. 92m:46065 

— see also Chung, Dong Myung; et al., 92c:46052 

Parna, K. On the existence and weak convergence of k-centres in Banach spaces. (Russian 
summary) 92¢:46095 

Ryu, Kun Sik see Chang, Kun Soo, 92f:46055 and (92m:46004) 

Skoug, David see Chung, Dong Myung; et al., 92c:46052; Ahn, J. M.; et al., 92k:46076 and 
Park, Chull, 92m:46065 

Talagrand, Michel A note on Gaussian measure of translates of balls. 92d:46118 

Uglanov, A. V. Factorization of smooth measures. (Russian) 92b:46065 

Yamasaki, Yasuo On norm-dependent positive definite functions. 92d:46119 

Zabel, A. M. see Okb El-Bab, A. S., 92m:46064 


Items with secondary classifications in 46G12 


Airault, Héléne Differential calculus on finite codimensional submanifolds of the Wiener 
space—the divergence operator. 92k:60119 

Albeverio, Sergio (with Kusuoka, Shigeo; Réckner, Michael) On partial integration in 
infinite-dimensional space and applications to Dirichlet forms. 92h:31009 

— (with Fukushima, Masatoshi; Hansen, Wolfhard; Ma, Zhi Ming; Réckner, Michael) 
Capacities on Wiener space: tightness and invariance. (French summary) 92b:60051 

Anger, Bernd (with Portenier, Claude) * Radon integrals. 92m:28001 

Arai, Asao (with Mitoma, Itaru) de Rham-Hodge-Kodaira decomposition in 0oo- 
dimensions. 92k:58007 

Badrikian, Albert * Calcul stochastique anticipatif par rapport 4 une mesure gaussi- 
enne. (French) [Anticipative stochastic calculus with respect to a Gaussian measure] 
92k:60110 

Bogachev, V.I. Distributions of analytic functionals of random processes. (Russian) 
92b:46061 

Bojdecki, Tomasz (with Jakubowski, Jacek) Stochastic integration for inhomogeneous 
Wiener process in the dual of a nuclear space. 92a:60128 

Borzov, V. V. Asymptotic behavior of the Gauss functional integral. (Russian) 92¢:60003 

Buldygin, V. V. (with Yadrenko, M.1.) A. V. Skorokhod’s work connected with the study of 
probability distributions in infinite-dimensional spaces. (Russian. Ukrainian summary) 
92¢:60004 

Chiang, Tsu Shu (with Kallianpur, G.; Sundar, P.) Propagation of chaos and the McKean- 
Vlasov equation in duals of nuclear spaces. 92g:60078 

Chow, Pao Liu Stochastic differential equations in infinite dimensions. 92e:35167 

Chung, Dong Myung (with Kang, Soon Ja) Evaluation formulas for conditional abstract 
Wiener integrals. II. 92¢e:60076 

— (with Hwang, Hong Taek) Cylinder functions in the Fresnel class of functions on abstract 
Wiener spaces. 92k:28026 

Da Prato, Giuseppe (with Zabczyk, Jerzy) Smoothing properties of transition semigroups in 
Hilbert spaces. 92k:60177 

Egorov, A. D. Approximation of functional integrals with respect to measures generated by 
solutions of stochastic differential equations on martingales. (Russian. English summary) 
92g:60079 

Fichtner, Karl-Heinz (with Freudenberg, W.) Remarks on stochastic calculus on the Fock 
space. 92k:81087 

Freudenberg, W. see Fichtner, Karl-Heinz, 92k:81087 

Fujiwara, Daisuke The Feynman path integral as an improper integral over the Sobolev 
space. 92¢:58013 

Fukushima, Masatoshi see Albeverio, Sergio; et al., 92b:60051 

Goodman, Victor Some probability and entropy estimates for Gaussian measures. 
92c:60007 

Hansen, Wolfhard see Albeverio, Sergio; et al., 92b:60051 

Hu, Xuan Da Stochastic differentials and the It6 formula in the dual spaces of a class of 
nuclear spaces. (Chinese. English summary) 92¢:60108 

Hwang, Hong Taek see Chung, Dong Myung, 92k:28026 

Jakubowski, Jacek see Bojdecki, Tomasz, 92a:60128 

Jurek, Zbigniew J. On Lévy (spectral) measures on integral form of Banach spaces. 
92d:60009 

Kallianpur, G. see Chiang, Tsu Shu; et al., 92g:60078 

Kang, Soon Ja see Chung, Dong Myung, 92¢:60076 

Khrennikov, A. Yu. Generalized functions and Gaussian path integrals over non- 
Archimedean function spaces. (Russian) 92j:46139 

Koldobskii, A. L. The Fourier transform technique for convolution equations in infinite- 
dimensional /,-spaces. 92m:42015 

— Convolution equations in certain Banach spaces. 92e:46091 

Kolesnikov, E. V. (with Kusraev, A. G.) Functional representation of a Lebesgue extension. 
(Russian) 92h:47047 

Krée, Paul Distributions, Sobolev spaces on Gaussian vector spaces and Ito’s calculus. 
92d:46106 

Kusraev, A. G. see Kolesnikov, E. V., 92h:47047 

Kusuoka, Shigeo see Albeverio, Sergio; et al., 92h:31009 

Lapidus, Michel L. The Feynman-Kac formula with a Lebesgue-Stieltjes measure: an 
integral equation in the general case. 92¢:47064 

Leén, Jorge A. Stochastic Fubini theorem for semimartingales in Hilbert space. 92f:60096 

Lobanov, Yu. Yu. see Zhidkov, E. P.; et al., 92:81013 

Luschgy, Harald Asymptotic almost equidistribution on a Banach space. 92h:60008 





46G12 


Ma, Zhi Ming see Albeverio, Sergio; et al., 92b:60051 

Medrecki, Andrzej Minlos’ theorem in non-Archimedean locally convex spaces. 92f:46096 

— Some negative results on existence of Sazonov topology in /-adic Fréchet spaces. 
921:46097 

Malyutin, V. B. Approximate calculation of path integrals with respect to measure generated 
by a system of differential equations of parabolic type. (Russian. English summary) 
92¢:65029 

de Maria, José L. (with Ulecia Garcia, Maria Teresa) Nikodym boundedness theorem 
for measures taking values in connected semigroups. (Spanish. English summary) (see 
92b:00044) 

Matsak, I. K. (with Plichko, A. N.) On the support of a measure in a Banach space and 
finite representability. (Russian) 92i:60005 

Mitoma, Itaru see Arai, Asao, 92k:58007 

Molodtsov, D. A. * IIpx6nmxeHHBIM HHTerpan B MHOTOMepHOM cuyyae. (Russian) [An 
approximate integral in the multidimensional case] 92k:46074 

Nakamura, Touru A nonstandard representation of Feynman’s path integrals. 92a:81103 

Nualart, David (with Vives, Josep) Anticipative calculus for the Poisson process based on 
the Fock space. 92i:60109 

— (with Zakai, Moshe) Multiple Wiener-It6 integrals possessing a continuous extension. 
92¢:60109 

Paulauskas, Vygantas A remark on the Gaussian measure of balls of a Banach space. 
(Russian) 92¢:60008 

Pérez-Abreu, Victor On the L?-theory of product stochastic measures and multiple Wiener- 
It6 integrals. 92e:60110 

Plichko, A. N. see Matsak, I. K., 92i:60005 

Popov, V. N. * Functional integrals and collective excitations. 92a:82002 

Portenier, Claude see Anger, Bernd, 92m:28001 

Potthoff, Jiirgen (with Réckner, Michael) On the contraction property of energy forms on 
infinite-dimensional space. 92a:46051 

Preiss, David Almost differentiability of convex functions in Banach spaces and determina- 
tion of measures by their values on balls. 92h:46061 

Réckner, Michael see Potthoff, Jiirgen, 92:46051; Albeverio, Sergio; et al., 92b:60051 and 
92h:31009 

Samoilenko, Yu. S. * Spectral theory of families of selfadjoint operators. 92j:47038 

Sardanashvili, G. A. (with Zakharov, O. A.) On functional integrals in quantum field 
theory. 92j:81149 

Shakhbagyan, R. R. see Zhidkov, E. P.; et al., 92f:81013 

(Skorokhod, A. V.) see Buldygin, V. V., 92¢:60004 

Sundar, P. see Chiang, Tsu Shu; et al., 92g:60078 

(Tisjachnij, E. V.) see Samoilenko, Yu. S., 92j:47038 

Ulecia Garcia, Maria Teresa see de Maria, José L., (92b:00044) 

Vives, Josep see Nualart, David, 92i:60109 

Winkler, Gerhard Simplexes of measures with closed extreme boundary and presentability 
of Hausdorff spaces. 92¢:46025 

Wisniewski, Andrzej Measurable linear functionals and operators on Fréchet spaces. 
92j:60005 

Yadrenko, M. I. see Buldygin, V. V., 92¢:60004 

Yang, Ya Li On Banach support of an ergodic and quasi-invariant measure. 92¢:60009 

— Banach supports of ergodic quasi-invariant measures. (Chinese) 

Zabczyk, Jerzy see Da Prato, Giuseppe, 92k:60177 

Zakai, Moshe see Nualart, David, 92e:60109 

Zakharov, O. A. see Sardanashvili, G. A., 92j:81149 

Zegarlitiski, Bogusiaw On log-Sobolev inequalities for infinite lattice systems. 92g:46037 

Zhidkov, E. P. (with Lobanov, Yu. Yu.; Shakhbagyan, R. R.) Approximate calculation 
of multiple path integrals in multidimensional problems of quantum physics. (Russian. 
English summary) 92f:81013 


46G15 Functional analytic lifting theory [see also 28A51] 


Corach, Gustavo (with Porta, Horacio A.; Recht, L.) Multiplicative integrals and geometry 
of spaces of projections. 92h:46068 

Porta, Horacio A. see Corach, Gustavo; et al., 92h:46068 

Recht, L. see Corach, Gustavo; et al., 92h:46068 


Items with secondary classifications in 46G15 


Burke, Maxim R. (with Just, Winfried) Liftings for Haar measure on {0, 1}*. 92h:03075 
Just, Winfried see Burke, Maxim R., 92h:03075 


46G20 Infinite-dimensional holomorphy [see also 32-XX, 46E50, 
58B12, 58C10] 


Aron, Richard M. (with Cole, B. J.; Gamelin, T. W.) Spectra of algebras of analytic 
functions on a Banach space. 92f:46056 

Bayoumi, Aboubakr The Levi problem in non-locally convex separable topological vector 
spaces. 92g:46053 

Bondar, A. V. (with Romanenko, V. Yu.) On derivative operators and holomorphy 
conditions for mappings of Hilbert spaces. (Russian. Ukrainian summary) 924:46120 

— (with Romanenko, V. Yu.) Some conditions for holomorphy in Hilbert spaces. (Russian. 
Ukrainian summary) 924:46121 

Bui Dac Tac Extending holomorphic maps in infinite dimensions. 92g:46054 

— The Oka-Weil theorem in topological vector spaces. 92g:46055 

Choi, Yun Sung ELB holomorphic factorization over projective limit representations. 
92¢:46096 

Cole, B. J. see Aron, Richard M.; et al., 92£:46056 

Deghoul, Djamel Construction de caractéres exceptionnels sur une algébre de Fréchet. 
(English summary) [Construction of exceptional characters on a Fréchet algebra] 
92b:46066 

Dineen, Sean Monomial expansions in infinite-dimensional holomorphy. 92e:46097 

— (with Timoney, Richard M.) Complex geodesics on convex domains. 92m:46066 


FUNCTIONAL ANALYSIS 


1992 738 


Galindo, Pablo (with Garcia, Domingo; Maestre, Manuel) Linearization of holomorphic 
mappings of bounded type. (Spanish. English summary) (see 92b:00044) 

— (with Garcia, Domingo; Maestre, Manuel) Locally determining sequences. (Spanish. 
English summary) (see 92b:00044) 

Gamelin, T. W. see Aron, Richard M.; et al., 92f:46056 

Garcia, Domingo see Galindo, Pablo; et al., (92b:00044) and (92b:00044) 

Gutiérrez del Alamo, Joaquin M. Homomorphisms between algebras of differentiable 
functions in Banach spaces. (Spanish. English summary) (see 92b:00044) 

Lourenco, Mary Lilian Boundaries for some uniform algebras in infinite dimensions. 
92¢:46098 

Maestre, Manuel see Galindo, Pablo; et al., (92b:00044) and (92b:00044) 

Medeiros, Lucia Regina Rego Absolute basis in the space of holomorphic mappings. 
92m:46067 

Min, Kyung Chan (with Nel, Louis Daniel') Infinite-dimensional holomorphy via 
categorical differential calculus. 92b:46067 

Moraes, Luiza A. On some relations between linear and holomorphic mappings on Banach 
spaces. 92¢:46099 

Nel, Louis Daniel’ see Min, Kyung Chan, 92b:46067 

Petronio, Carlo Holomorphic automorphisms of the unit ball of a direct sum. (Italian 
summary) 92e:46100 

Pombo, Dinamérico P., Jr. On a result due to Nachbin. 92h:46069 

Romanenko, V. Yu. see Bondar, A. V., 92d:46120 and 924:46121 

Sarantopoulos, Yannis Bounds on the derivatives of polynomials on Banach spaces. 
92j:46084 

Soraggi, Roberto Luiz The Cauchy-Riemann operator in infinite-dimensional spaces. 
92g:46056 

— The 9-problem for a (0, 2)-form in a D.F.N. space. 92g:46057 

Sundaresan, Kondagunta Geometry of spaces of homogeneous polynomials on Banach 
lattices. 92k:46077 

Timoney, Richard M. see Dineen, Sean, 92m:46066 

Whodarczyk, Kazimierz Intermediate value theorems for holomorphic maps in complex 
Banach spaces. 92b:46068 


Items with secondary classifications in 46G20 

Azizov, T. Ya. (with Khatskevich, V. A.; Shoikhet, D. M.) On the number of fixed points of 
a holomorphism. (Russian) 92h:58023 

Bondar, A. V. (with Romanenko, V. Yu.) Conditions for the holomorphy of Lipschitz 
mappings of Hilbert spaces. (Russian. Ukrainian summary) 92g:46047 

Caldas Cueva, Miguel A note on holomorphically sequentially infrabarrelled locally convex 
spaces. (French summary) 92¢:46008 

Jaramillo, Jestis A. Topologies in spaces of differentiable functions. (Spanish) (see 
92g:00024) 

Khatskevich, V. A. see Azizov, T. Ya.; et al., 92h:58023 

Mazet, Pierre (with Vigué, Jean-Pierre) Points fixes d'une application holomorphe d’un 
domaine borné dans lui-méme. [Fixed points of a holomorphic mapping of a bounded 
domain into itself] 92b:58024 

Ponte, S. A remark about the embedding (H(E/F),t) — (H(E), t), with t = To, Tw, in 
Fréchet spaces. 92¢:46007 

Romanenko, V. Yu. see Bondar, A. V., 92g:46047 

Shoikhet, D. M. Some properties of Fredholm mappings of Banach analytic manifolds. 
(Russian) 92m:58007 

— see also Azizov, T. Ya.; et al., 92h:58023 

Vigué, Jean-Pierre see Mazet, Pierre, 92b:58024 


46G99 None of the above, but in this section 


Balogh, Z. (with Kassay, G.) On convexity of implicit functions. (see 92m:00032) 

Beattie, Ronald (with Butzmann, H.-P.) On the Banach-Steinhaus theorem and the 
continuity of bilinear mappings. 92h:46070 

Benitez, Carlos (with Otero, Ma. Carmen) A note on the extension of line-preserving 
continuous bilinear functionals. (Spanish) (see 92g:00024) 

Butzmann, H.-P. see Beattie, Ronald, 92h:46070 

Kassay, G. see Balogh, Z., (92m:00032) 

Kominek, Zygfryd (with Kuczma, Marek) p-convex functions in linear spaces. 92i:46052 

Kuczma, Marek see Kominek, Zygfryd, 92i:46052 

Lai, Han Ch’ing Differentiability and duality for integral functions. 92f:46057 

Merkle, Milan J. On positive definite functions defined on vector spaces. 92g:46058 

Neumann, Michael M. On the Mazur-Orlicz theorem. 92d:46122 

Otero, Ma. Carmen see Benitez, Carlos, (92g:00024) 

Pluciennik, Ryszard (with Tian, Shen; Wang, Yu Wen) Nonconvex integral functionals on 
Musielak-Orlicz spaces. 92g:46059 

Simons, Stephen The occasional distributivity of o over é and the change of variable 
formula for conjugate functions. 92¢:46053 

Tian, Shen see Pluciennik, Ryszard; et al., 92g:46059 

Wang, Yu Wen see Pluciennik, Ryszard; et al., 92g:46059 


Items with secondary classifications in 46G99 

Averna, A. (with Cardinali, Tiziana) On the concepts of K-convexity [K-concavity] and K- 
convexity* [K-concavity*]. (Italian. English summary) 92h:26031 

Bistrém, Peter (with Bjon, Sten; Lindstrém, Mikael) Homomorphisms on some function 
algebras. 92g:46065 

Bjon, Sten see Bistrém, Peter; et al., 92¢:46065 

Borwein, Jonathan M. (with Lewis, Adrian S.) Practical conditions for Fenchel duality in 
infinite dimensions. (French summary) 92i:49054 

Cardinali, Tiziana see Averna, A., 92h:26031 

Ciulli, M. (with Ciulli, S.; Spearman, T. D.) Ball stabilization in inverse problems. (see 
92a:00040) 

Ciulli, S. see Ciulli, M.; et al., (92a:00040) 

Dinh Quang Lu’u A short proof of biting lemma. 92a:46031 

Frankowska, Halina Conical inverse mapping theorems. 92k:49028 





739 1992 


Govindarajulu, P. Characterization of strictly convex functions. 92g:52009 

Granas, Andrzej Sur quelques méthodes topologiques en analyse convexe. [On some 
topological methods in convex analysis] 92¢:90076 

Hadjisavvas, N. (with Kravvaritis, Dimitrios; Pantelidis,G.) On nonlinear monotone 
operators with values in L(X, Y). 92j:47099 

Hamhalter, Jan Additivity of vector Gleason measures. 92k:46109 

Josefson, Bengt A Banach space containing nontrivial limited sets but no nontrivial 
bounding sets. 92g:46018 

Kasperski, Andrzej The modular spaces of multifunctions. II. 92e:46057 

Kominek, Zygfryd A characterization of convex functions in linear spaces. (Polish 
summary) 92b:52018 

— Convex functions and epigraphs. (Serbo-Croatian summary) 92a:46009 

Kovalév, P.I. Parametrizable subsets of Banach spaces. (Russian) 92j:46036 

Krawvaritis, Dimitrios see Hadjisavvas, N.; et al., 92j:47099 

Kudryavtsev, S. N. Approximations of compact sets of functions by piecewise-polynomial 
surfaces in spaces of smooth functions. (Russian) 92m:41033 

LeSnjak, G. Extensions of the notion of extreme point. (Serbo-Croatian summary) 
92¢:46035 

Lewis, Adrian S. see Borwein, Jonathan M., 92i:49054 

Lindstrém, Mikael see Bistrém, Peter; et al., 92g:46065 

Lacchetti, Roberto (with Malivert, C.) Variational convergences and level sets multifunc- 
tions. 92b:49025 

Malivert, C. see Lucchetti, Roberto, 92b:49025 

Nakanishi, Shizu A closed graph theorem in the space of Denjoy integrable functions. I. 
92g:46034 

Oprea, Ana Gabriela Some multiplication formulas in the Clifford algebra. 92i:46087 

Pantelidis,G. see Hadjisawvas, N.; et al., 92j:47099 

Papalini, Francesca The K-midpoint * convexity [concavity] and lower [upper] K- 
semicontinuity of a multifunction. (Italian. English summary) 92h:26032 

Poliquin, René A. (with Zizler, V. E.) Optimization of convex functions on w*-compact 
sets. 92¢:46039 

Spearman, T. D. see Ciulli, M.; et al., (92a:00040) 

Tanaka, Tamaki Cone-convexity of vector-valued functions. 92c:90096 

Vaisala, Jussi Free quasiconformality in Banach spaces. I. 92d:30012 

Wang, Jian Hua’ A minimax theorem. (Chinese summary) 92i:49014 

Yoshikawa, Atsushi Note on the Taylor expansion of smooth functions defined on Sobolev 
spaces. 92h:46047 

Zizler, V.E. see Poliquin, René A., 92e:46039 


46Hxx Topological algebras, normed rings and algebras, 
Banach algebras {For group algebras, convolution 
algebras and measure algebras, see 43A10, 


43A20.} 


Husain, Taqdir * Orthogonal Schauder bases. 92h:46071 
Zelazko, Wiestaw Some open problems and recent results in topological algebras. (see 
92h:00024) 


Items with secondary classifications in 46Hxx 


Khelemskii, A. Ya. * The homology of Banach and topological algebras. 92d:46178 

— From topological homology: algebras with various conditions of homological triviality. 
(Russian) 92k:46120 

(West, Alan) see Khelemskii, A. Ya., 92d:46178 


46H05 General theory of topological algebras 


Abel, Mati Abel On the Gel’fand-Mazur theorem for exponentially galbed algebras. 
(Russian summary) 92b:46069 

— Strongly spectrally bounded algebras. 92b:46070 

Abo Hadi, Mohamed A. Topologies on generalized semi-inner product algebras of type (p). 
92e:46101 

Aiena, Pietro On spectral properties of multipliers. (Italian summary) 92i:46053 

Akkar, Mohamed (with Cheikh, O. H.; Oudadess, M.) Sur la structure des algébres 
localement A-convexes. (English summary) [On the structure of locally A-convex algebras] 
92:46058 

Balsam, Zofia A note on the group of invertible elements of a two-norm algebra. 92¢:46102 

Bhatt, Subhash J. (with Karia, Dinesh J.) Uniqueness of the uniform norm with an 
application to topological algebras. 92m:46068 

Bregar, Matej On the distance of the composition of two derivations to the generalized 
derivations. 92b:46071 

Burlando, Laura On continuity of the spectral radius function in Banach algebras. 
92e:46103 

— On continuity of the spectrum function in Banach algebras. 92i:46054 

Cheikh, O. H. see Akkar, Mohamed; et al., 92f:46058 

Di Bucchianico, A. Banach algebras, logarithms, and polynomials of convolution type. 
924:46123 

Drissi, Driss Sur l’inégalité d’Allan Sinclair pour les opérateurs hermitiens. (English 
summary) [On Allan Sinclair’s inequality for Hermitian operators] 92d:46124 

El-Helaly, Sherif (with Husain, Taqdir) Orthogonal bases in topological algebras: highlights 
of recent results. 92m:46069 

Fernandez Lépez, Antonio” (with Miiller, Viadimir) Renormalizations of Banach and 
localiy convex algebras. (see 92b:00044) 

Fong, Che Kao (with Soltysiak, Andrzej) On the left and right joint spectra in Banach 
algebras. 92b:46072 

Galé, José E. Compactness properties of a locally compact group and analytic semigroups in 
the group algebra. 92i:46055 

Gaur, Abhay K. (with Kovarik, Zdislav V.) Norms, states and numerical ranges on direct 
sums. 92k:46078 


46H Topological algebras, normed rings and algebras, Banach algebras 


46H20 


Husain, Taqdir see Warsi, S. W., 92j:46086 and El-Helaly, Sherif, 92m:46069 

Jha, Shyamanand (with Umar, Md. Azim) A new result on the dual of locally convex 
algebras. 

Karia, Dinesh J. see Bhatt, Subhash J., 92m:46068 

Kokk, Arne On almost commutative algebras. (Russian summary) 92b:46073 

Kovarik, Zdislav V. see Gaur, Abhay K., 92k:46078 

Mathieu, Martin (with Murphy, Gerard J.) Derivations mapping into the radical. 
92j:46085 

Mohammad, Noor (with Siddiqi, A. H.) On 2-Banach algebras. 92¢:46054 

Miller, Vladimir Adjoining the one-sided inverses to noncommutative Banach algebras. 
(Russian summary) 92b:46074 

— see also Fernandez Lépez, Antonio”, (92b:00044) 

Murphy, Gerard J. see Mathieu, Martin, 92j:46085 

Oudadess, M. Discontinuity of the product in multiplier algebras. 92a:46053 

— see also Akkar, Mohamed; et al., 92f:46058 

Pérez-Gonzalez, Fernando On a theorem of Cass and Trautner. 92k:46079 

Rennison, J. F. Closure properties of the quasi-centre of a Banach algebra. 92f:46059 

Rupp, Rudolf Stable rank of finitely generated algebras. 92¢:46055 

Seddighin, Morteza On the ideals of extended quasi-nilpotent Banach algebras. 92d:46125 

Semrl, Peter The Cauchy functional equation on real Banach algebras. 92h:46072 

Siddiqi, A.H. see Mohammad, Noor, 92c:46054 

Soltysiak, Andrzej see Fong, Che Kao, 92b:46072 

Srivastav, Anand A generalization of the Gleason-Kahane-Zelazko theorem for real Banach 
algebras. 924:46126 

Ulger, A. Arens regularity of the algebra C(K, A). 92d:46127 

Umar, Md. Azim see Jha, Shyamanand 

Warsi, S. W. (with Husain, Taqdir) Pil-algebras. 92j:46086 

Wong, Pak Ken On the Arens products and reflexive Banach algebras. 92¢:46104 

Yood, Bertram On commutativity of unital Banach algebras. 92h:46073 


Items with secondary classifications in 46H05 


Akkar, Mohamed (with Illoussamen, E.; Oudadess, M.) Théorémes du type Singer et 
Wermer. (English summary) [Singer-Wermer-type theorems] 92a:46057 

Burlando, Laura (with Harte, Robin) On the closure of the invertibles. 92¢:47004 

Colojoara, Alexandra Banach algebras category and Banach Lie algebras category as 
categories with multiplication. 92j:46131 

Constantinescu, Corneliu Banach categories. 924:46180 

Cuartero, Bienvenido (with Galé, José E.) Locally Pl-aigebras over valued fields. (Spanish 
summary) 92h:46112 

Galé, José E. see Cuartero, Bienvenido, 92h:46112 

Harte, Robin On quasinilpotents in rings. 92a:16024 

— see also Burlando, Laura, 92¢:47004 

Illoussamen, E. see Akkar, Mohamed; et al., 922:46057 

Inasaridze, Kh. N. K-theory of special normed rings. 92j:46133 

Jarosz, Krzysztof Generalizations of the Gleason-Kahane-Zelazko theorem. 92m:46003 

Oudadess, M. see Akkar, Mohamed; et al., 92a:46057 

Scheffold, Egon Der Bidual von F-Banachverbandsalgebren. [The bidual of Banach F- 
algebras] 92h:46027 

Semrl, Peter Additive derivations of some operator algebras. 92b:47068 

Skantharajah, Mahatheva Amenable hypergroups. 92k:43002 

Somerset, D. W. B. Discontinuous homomorphisms from C*-algebras. 92d:46148 

Stavrakas, G. A. On primitive ideal spaces. Automorphisms and derivations of topological 
algebras. 92m:46095 

Vii Quéc Phéng A short proof of the Y. Katznelson’s and L. Tzafriri’s theorem. 92j:47012 

Wiad, Katarzyna The Wiener theorem for Dirichlet’s multiplication. 92h:46079 

Zelazko, Wiestaw Concerning trivial maximal abelian subalgebras of B(X). 92e:47077 


46H10 Ideals and subalgebras 


Giotopoulos, S. (with Roumeliotis, M.) Algebraic ideals of semiprime Banach algebras. 
92g:46060 

Grobler, J. J. (with Raubenheimer, H.) Spectral properties of elements in different Banach 
algebras. 922:46054 

Karyaev, A. M. (with Yakovlev, N. V.) Automatic complementability of some classes of 
annihilator ideals in Banach algebras. (Russian) 92f:46060 

Raubenheimer, H. see Grobler, J. J., 92a:46054 

Roumeliotis, M. see Giotopoulos, S., 92g:46060 

Tomiuk, Bohdan J. Multipliers on complemented Banach algebras. 92i:46056 

Yakovlev, N. V. see Karyaev, A. M., 92f:46060 


Items with secondary classifications in 46H10 
Wong, Pak Ken On the Arens products and reflexive Banach algebras. 92¢:46104 


46H20 Structure, classification of topological algebras 


Galé, José E. (with Ransford, T. J.; White, M. C.) Weakly compact homomorphisms. 
92h:46074 

Jun, Kil-Woung see Kim, Byung-Do, 92j:46087 

Kim, Byung-Do (with Jun, Kil-Woung) The range of derivations on noncommutative 
Banach algebras. 92j:46087 

Mathieu, Martin The symmetric algebra of quotients of an ultraprime Banach algebra. 
92g:46061 

Ransford, T. J. see Galé, José E.; et al., 92h:46074 

Redlin, Lothar (with Watson, Saleem) Triangular and cotriangular bases in topological 
algebras. 92i:46057 

Watson, Saleem see Redlin, Lothar, 92i:46057 

White, M. C. see Galé, José E.; et al., 92h:46074 





46H20 


Items with secondary classifications in 46H20 

Corach, Gustavo (with Porta, Horacio A.; Recht, L.) Multiplicative integrals and geometry 
of spaces of projections. 92h:46068 

Porta, Horacio A. see Corach, Gustavo; et al., 92h:46068 

Recht, L. see Corach, Gustavo; et al., 92h:46068 

Semrl, Peter On algebraic generation of B(X) by two subalgebras with square zero. 
92b:47070 

Wodzicki, Mariusz Resolution of the cohomology comparison problem for amenable 
Banach algebras. 92k:46121 


46H25 Normed modules and Banach modules, topological 
modules (if not placed in 13-XX or 16-XX) 


Grenbek, Niels Constructions preserving weak amenability. 92a:46056 

— Acharacterization of weakly amenable Banach algebras. 92a:46055 

Kurmakaeva, E. Sh. (with Shkarin, S. A.) On the projectivity of some modules over 
polynormed algebras of continuous functions. (Russian) 92b:46075 

Shkarin, S. A. see Kurmakaeva, E. Sh., 92b:46075 

Takahasi, Sin-ei An extension of Helson-Edwards theorem to Banach modules. 92e:46105 

Yu, Shu Mo The L'(G, A)-module homomorphism and the invariant operators from 
L?(G, A) to L?(G, X) for 1 < p < oo. (Chinese) 924:46128 


Items with secondary classifications in 46H25 

Cabrera-Garcia, Miguel Hilbert modules over H*-algebras, and applications. (Spanish. 
English summary) (see 92m:00049) 

Douglas, Ronald G. (with Yan, Ke Ren) On the rigidity of Hardy submodules. 92d:47009 

El Miloudi, Marhrani see Mohamed, Aamri, 92k:16057 

Horwitz, L. P. see Razon, Aharon, 92j:46129 

Jun, Kil-Woung (with Lee, Young-Whan; Park, Dal-Won) The continuity of derivations 
and module homomorphisms. 92b:46076 

Kastler, Daniel Introduction to entire cyclic cohomology (of Z/2-graded Banach algebras). 
92b:46113 

Khelemskii, A. Ya. Homology in Banach and polynormed algebras: some results and 
problems. 92a:46090 

Kitchen, J. W. (with Robbins, D. A.) Linear algebra in the category of C(M)-locally convex 
modules. 92b:46120a 

— (with Robbins, D. A.) Errata: “Linear algebra in the category of C(M)-locally convex 
modules”. 92b:46120b 

Klotz, Lutz Some approximation problems in L?-spaces of matrix-valued functions. 
92h:43005 

Krasichkov-Ternovskii, I. F. Abstract methods for the local description of closed submod- 
ules of analytic functions. (Russian) 92¢:46112 

Kurapin, G.I. The implicit mapping theorem for a class of topological modules. (Russian) 
92j:46079 

Kyriazis, Athanasios On tensor product a-algebra bundles. 92d:46182 

Laursen, K. B. (with Vrbova, P.) Intertwiners and automatic continuity. 92f:47036 

Lee, Young-Whan see Jun, Kil-Woung; et al., 92b:46076 

Mohamed, Aamri (with El Miloudi, Marhrani) Les S-anneaux et propriétés de tonnelage 
dans les modules topologiques. (English summary) [S-rings and barrelledness in 
topological modules] 92k:16057 

Park, Dal-Won see Jun, Kil-Woung; et al., 92b:46076 

Razon, Aharon (with Horwitz, L. P.) Tensor product of quaternion Hilbert modules. 
92j:46129 

Requejo Fernandez, Batildo Localization of topological modules. (Spanish. English 
summary) (see 92m:00050) 

Robbins, D. A. see Kitchen, J. W., 92b:46120a and 92b:46120b 

Vrbova, P. see Laursen, K. B., 92f:47036 

Yan, Ke Ren see Douglas, Ronald G., 92d:47009 


46H30 Functional calculus in topological algebras 
[see also 47A60] 


White, M.C. The representation of analytic multivalued functions by compact operators. 
92¢:46106 


Items with secondary classifications in 46H30 


El Kinani, Abdellah Fonctions harmoniques opérant sur les algébres de Banach involutives. 
(English summary) [Harmonic functions acting on Banach algebras with involution] 
92j:46096 

Hansen, Frank The Moyal product and spectral theory for a class of infinite-dimensional 
matrices. 92j:81111 

Mourre, E. Remarques sur le caractére algébrique du procédé pseudo-différentiel et de 
certaines de ses extensions. I. (English summary) [Remarks on the algebraic character of 
the pseudodifferential procedure and some of its extensions. I] 92a:58139 

Podkolzin, G. B. The infinitesimal object of a hypercomplex system generated by double 
cosets, and nonlinear differential equations. (Russian) 92k:22009 


46H35 Topological algebras of operators [See mainly 47D30, and 
also 47D25, 47D50] 


Muhly, Paul S. (with Qiu, Chao Xin; Solel, Baruch) Intrinsic isomorphism invariants for 
some triangular operator algebras. 92f:46061 

Qiu, Chao Xin see Muhly, Paul S.; et al., 92f:46061 

Solel, Baruch see Muhly, Paul S.; et al., 92f:46061 


Items with secondary classifications in 46H35 
Phillips, N. Christopher K-theory for Fréchet algebras. 92e:46143 


FUNCTIONAL ANALYSIS 


46H40 Automatic continuity 


Aniszcezyk, Bohdan (with Frankiewicz, Ryszard; Ryll-Nardzewski, Czeslaw) Continuity of a 
homomorphism on commutative subalgebras is not sufficient for continuity. 92i:46058 

El Azhari, M. Sur la continuité des homomorphismes d’algébres. [On the continuity of 
algebra homomorphisms] 924:46129 

Frankiewicz, Ryszard see Aniszczyk, Bohdan; et al., 92i:46058 

Husain, Taqdir On continuity of MLFs—a survey of the Michael-Mazur problem. (see 
92g:00026) 

Jun, Kil-Woung (with Lee, Young-Whan; Park, Dal-Won) The continuity of derivations 
and module homomorphisms. 92b:46076 

Lee, Young-Whan see Jun, Kil-Woung; et al., 92b:46076 

Park, Dal-Won see Jun, Kil-Woung; et al., 92b:46076 

Runde, Volker Automatic continuity of derivations and epimorphisms. 92k:46080 

Ryll-Nardzewski, Czeslaw see Aniszczyk, Bohdan; et al., 92i:46058 

Zalar, Borut The use of projections in the proof of the continuity of derivations. (Slovenian. 
English summary) 92¢:46107 


Items with secondary classifications in 46H40 

Garimella, Ramesh V. Prime ideals and the continuity of derivations on integral domains. 
92k:46088 

Husain, Taqdir see Warsi, S. W., 92j:46086 

Laursen, K. B. (with Vrbova, P.) Intertwiners and automatic continuity. 92f:47036 

— Automatic continuity of intertwiners in topological vector spaces. 92k:47039 

Ngo, Viet The structure of module derivations of C”[0, 1] into L,(0, 1). 92j:46092 

Rosenblatt, Joseph Max Automatic continuity is equivalent to uniqueness of invariant 
means. 92f:43001 

Stein, J. D., Jr. Some observations on local uniform boundedness principles. 92i:54016 

Thomas, Marc P. Principal ideals and semi-direct products in commutative Banach 
algebras. 92h:46078 

Villena Muiioz, Armando R. Continuity of derivations on a complete normed alternative 
algebra. 92d:46131 

Vrbova, P. see Laursen, K. B., 92f:47036 

Warsi, S. W. (with Husain, Taqdir) Pil-algebras. 92j:46086 


46H70 Nonassociative topological algebras [see also 46K70, 
46L70] 


Abdullaev, R. Z. see Ayupov, Sh. A., 92g:46062 

Ayupov, Sh. A. (with Abdullaev, R. Z.) Isometries of Lp-spaces constructed on semifinite 
JBW-algebras. (Russian) 92g:46062 

— (with lochum, Bruno; Yadgorov, N. Dzh.) Geometry of state spaces of finite-dimensional 
Jordan algebras. (Russian. Uzbek summary) 92g:46064 

— (with Ilochum, Bruno; Yadgorov, N. Dzh.) Symmetry versus facial homogeneity for self- 
dual cones. 92g:46063 

Bensebah, Ali JV-algebres et JH*-algébres. (English summary) [JV-algebras and JH*- 
algebras] 92j:46088 

Benslimane, Mohamed (with Fernandez Lopez, Antonio'; Garcia Rus, Eulalia; Kaidi, El 
Amin Mokhtar) Noncommutative Jordan normed algebras containing minimal inner 
ideals and without nilpotent elements. 92j:46089 

— (with Rodriguez-Palacios, Angel) Caractérisation spectrale des algebres de Jordan Banach 
non commutatives complexes modulaires annihilatrices. [Spectral characterization of 
annihilating modular complex noncommutative Jordan Banach algebras] 92i:46059 

Cabrera-Garcia, Miguel (with Rodriguez-Palacios, Angel) Nonassociative ultraprime 
normed algebras. 92m:46070a 

— (with Rodriguez-Palacios, Angel) Nonassociative ultraprime normed algebras. 
92m:46070b 

Essannouni, Hassane (with Kaidi, El Amin Mokhtar) Inversion dans les algébres flexibles 
normées completes. [Inversion in complete normed flexible algebras] 92d:46130 

Fernandez Lépez, Antonio! see Benslimane, Mohamed; et al., 92j:46089 

Garcia Rus, Eulalia see Benslimane, Mohamed; et al., 92j:46089 

Iochum, Bruno see Ayupov, Sh. A.; et al., 92g:46063 and 92g:46064 

Kaidi, El Amin Mokhtar see Essannouni, Hassane, 92d:46130 and Benslimane, Mohamed; et 
al., 92j:46089 

Pérez Gonzalez, J. (with Rico Romero, L.; Rodriguez-Palacios, Angel; Villena Mufioz, 
Armando R.) Prime Jordan-Banach algebras with nonzero socle. 92j:46090 

Rico Romero, L. see Pérez Gonzalez, J.; et al., 92j:46090 

Rodriguez-Palacios, Angel see Benslimane, Mohamed, 92i:46059; Pérez Gonzalez, J.; et al., 
92j:46090; Cabrera-Garcia, Miguel, 92m:46070a and 92m:46070b 

Villena Muiioz, Armando R. Continuity of derivations on a complete normed alternative 
algebra. 92d:46131 

— see also Pérez Gonzalez, J.; et al., 92j:46090 

Yadgorov, N. Dzh. see Ayupov, Sh. A.; et al., 92g:46063 and 92¢:46064 


Items with secondary classifications in 46H70 

Adizov, A. A. see Ayupov, Sh. A., 924:46169 

Ayupov, Sh. A. (with Adizov, A. A.) Linearity of multiplicative mappings of Jordan Banach 
algebras. (Russian) 92d:46169 

Khakimdzhanov, Yu. B. Derivations of some infinite-dimensional topologically nilpotent Lie 
algebras. (Russian) 92b:17032 

Rodriguez-Palacios, Angel (with Villena Muiioz, Armando R.) The extended centroid of a 
noncommutative J B*-algebra. (Spanish. English summary) (see 92b:00044) 

Semrl, Peter On Jordan *-derivations and an application. 92b:46087 

Villena Muiioz, Armando R. see Rodriguez-Palacios, Angel, (92b:00044) 

Whodarczyk, Kazimierz Hyperbolic geometry in bounded symmetric homogeneous domains 
of J*-algebras. 92j:32120 

Zalar, Borut Triple systems. I. (Slovenian. English summary) 92m:17005 





741 1992 


46H99 None of the above, but in this section 


Bhattacharya, D. K. (with Maity, A. K.) Semilinear tensor product of I-Banach algebras. 
92m:46072 

Grenbek, Niels Amenability and weak amenability of tensor algebras and algebras of 
nuclear operators. 92f:46062 

Maity, A. K. On representation of I-Banach algebra. 92m:46071 

— see also Bhattacharya, D. K., 92m:46072 

Srinivas, T. A note on the radicals in a normed near-algebra. 92d:46132 


Items with secondary classifications in 46H99 

Chan, Raymond H. (with Jin, Xiao Qing; Yeung, Man-Chung) The circulant operator in the 
Banach algebra of matrices. 92f:15004 

Jin, Xiao Qing see Chan, Raymond H.; et al., 92f:15004 

Lopushanskii, O. V. Continuous semigroups in locally convex algebras. (Russian. Ukrainian 
summary) 92¢e:47065 

Mohammad, Noor (with Siddiqi, A.H.) On 2-Banach algebras. 92c:46054 

Muradov, F. Kh. Superassociative algebras of strongly closed many-place functions. 
(Russian. English and Azerbaijani summaries) 92m:54044 

Power, S.C. Refinement theory for nonselfadjoint operator algebras. 92b:47067 

Siddiqi, A.H. see Mohammad, Noor, 92c:46054 

Solel, Baruch Distance formula and contractive projections. (see 92d:00034) 

Sudbery, A. Noncommuting coordinates and differential operators. 92f:17020 

Yeung, Man-Chung see Chan, Raymond H.; et al., 92f:15004 


46Jxx Commutative Banach algebras and commutative 
topological algebras [see also 46E25] 


46J05 General theory of commutative topological algebras 


Akkar, Mohamed (with Illoussamen, E.; Oudadess, M.) Théorémes du type Singer et 
Wermer. (English summary) [Singer-Wermer-type theorems] 92a:46057 

Tlloussamen, E. see Akkar, Mohamed; et al., 92a:46057 

Miller, Viadimir On topologizable algebras. 92k:46081 

Oudadess, M. see Akkar, Mohamed; et al., 922:46057 


Pannenberg, Michael Stable rank of Fourier algebras and an application to Korovkin theory. 


92b:46077 
Requejo Fernandez, Batildo Localization of topological modules. (Spanish. English 
summary) (see 92m:00050) 


Items with secondary classifications in 46J05 


Agayan, S.M. The structure sheaf of a Banach algebra. (Russian) 92f:46092 

Aiena, Pietro On spectral properties of multipliers. (Italian summary) 92i:46053 

Arzumanyan, V. A. (with Grigoryan, Souren Arshakovich) Invariant algebras of operator 
fields on compact abelian groups. (Russian and Armenian summaries) 92h:46084 

Benslimane, Mohamed (with Rodriguez-Palacios, Angel) Caractérisation spectrale des 
algébres de Jordan Banach non commutatives complexes modulaires annihilatrices. 
[Spectral characterization of annihilating modular complex noncommutative Jordan 
Banach algebras] 92i:46059 

Bhatt, Subhash J. (with Karia, Dinesh J.) Uniqueness of the uniform norm with an 
application to topological algebras. 92m:46068 

Corach, Gustavo (with Suarez, Fernando Daniel) Real stable ranks. 92f:46090 

Detre, Peter A. Multipliers of weighted /? spaces. 92h:47033 

Di Bucchianico, A. Banach algebras, logarithms, and polynomials of convolution type. 
92d:46123 

Grigoryan, Souren Arshakovich see Arzumanyan, V. A., 92h:46084 

Karia, Dinesh J. see Bhatt, Subhash J., 92m:46068 

Maltese, George Extreme positive functionals and ideals of finite codimension in commuta- 
tive Banach +-algebras. 92h:46080 

Oudadess, M. Discontinuity of the product in multiplier algebras. 92a:46053 

Rodriguez-Palacios, Angel see Benslimane, Mohamed, 92i:46059 

Runde, Volker Automatic continuity of derivations and epimorphisms. 92k:46080 

Scheffold, Egon Der Bidual von F-Banachverbandsalgebren. [The bidual of Banach F- 
algebras] 92h:46027 

Semrl, Peter Additive derivations of some operator algebras. 92b:47068 

Srivastav, Anand A generalization of the Gleason-Kahane-Zelazko theorem for real Banach 
algebras. 924:46126 

Suarez, Fernando Daniel see Corach, Gustavo, 92f:46090 

Ulger, A. Arens regularity of the algebra C(K, A). 92d:46127 

Zarouf, F. On uniform dual algebras. 92m:47084 





46J10 Banach algebras of continuous functions, function algebras 
[see also 46E25] 


Arundhathi, S. see Kulkarni, S. H., 92j:46091 

Batikyan, B.T. (with Grigoryan, Souren Arshakovich) Uniform algebras that contain 
A(K). (Russian. English and Armenian summaries) 92b:46078 

Belley, Jean-Marc (with Lessard, Francois) Une méthode générale de compactification 
d’un ensemble, et applications aux opérateurs induits par des transformations ponctuelles 
continues. (English summary) [A general method of set compactification, and applica- 
tions to operators induced by continuous point transformations] 92c¢:46056 

Bistrém, Peter (with Bjon, Sten; Lindstrém, Mikael) Homomorphisms on some function 
algebras. 92g:46065 

Bjon, Sten see Bistrém, Peter; et al., 92g:46065 

Cengiz, Bahattin On measure homeomorphisms of the disc. (Turkish summary) 92i:46060 

Cerych, Jan Several properties of function algebras in terms of orthogonal measures. (see 
92d:30002) 

Chatterjee, Dipak Restrictions of convex subsets of C(X). 


46J Commutative Banach algebras and commutative topological algebras 


46J10 


Downum, Philip (with Lindberg, John A., Jr.) Closed subalgebras of the Banach algebra of 
continuously differentiable functions on an interval. 92h:46075 

Feinstein, Joel Francis Point derivations and prime ideals in R(X). 92i:46061 

Ghatage, Pratibha G. (with Sun, Shun Hua; Zheng, De Chao) A remark on Bourgain 
algebras on the disk. 92¢:46108 

Grigoryan, Souren Arshakovich see Batikyan, B. T., 92b:46078 

Hatori, Osamu Range transformations on a Banach function algebra. IV. 92k:46082 

Khanin, L. G. Closed ideals in algebras of functions that satisfy the generalized Zygmund 
condition. (Russian) (see 92i:00016) 

Kulkarni, S. H. (with Srinivasan, N.) An analogue of Wermer’s theorem for a real function 
algebra. 92b:46079 

— (with Arundhathi, S.) Isometries of real function algebras. 92j:46091 

Lessard, Francois see Belley, Jean-Marc, 92c:46056 

Lindberg, John A., Jr. see Downum, Philip, 92h:46075 

Lindstrém, Mikael see Bistrém, Peter; et al., 92g:46065 

Mehta, H.S. (with Mehta, R. D.; Vasavada, M. H.) Silov and other decompositions for a 
real function algebra. 92d:46133 

Mehta, R. D. see Mehta, H. S.; et al., 92d:46133 

Mokhova, L. N. On a connection between a generalization of the Stone-Weierstrass theorem 
and the completeness of a uniform space. (Russian) (see 92g:47001) 

Nakazi, Takahiko Commuting dilations and uniform algebras. 92b:46080 

Ngo, Viet The structure of module derivations of C"(0, 1] into L,(0, 1). 92j:46092 

de Paepe, P. J. (with Wiegerinck, J. J.O.O.) A note on pervasive function algebras. 
924:46134 

Semrl, Peter On ring derivations and quadratic functionals. 92h:46076 

Srinivasan, N. see Kulkarni, S. H., 92b:46079 

Sun, Shun Hua see Ghatage, Pratibha G.; et al., 92e:46108 

Vasavada, M. H. see Mehta, H. S.; et al., 92d:46133 

Wada, Junzo see Yamaguchi, Shinya, 922:46058 

Wang, James Li Ming Rational modules and Cauchy transforms. II. 92i:46062 

Wiegerinck, J. J.O.O. see de Paepe, P. J., 92d:46134 

Yamaguchi, Shinya (with Wada, Junzo) On peak sets for certain function spaces. II. 
92a:46058 


Zakharov, Valerii Konstantinovich Alexandrovian cover and Sierpifiskian extension. 
92e:46109 
Zheng, De Chao see Ghatage, Pratibha G.; et al., 92e:46108 


Items with secondary classifications in 46J10 


Aarnes, Johan F. Quasi-states and quasi-measures. 92d:46152 

Aniszezyk, Bohdan (with Frankiewicz, Ryszard; Ryll-Nardzewski, Czeslaw) Continuity of a 
homomorphism on commutative subalgebras is not sufficient for continuity. 92i:46058 

Arzumanyan, V. A. (with Grigoryan, Souren Arshakovich) Noncommutative uniform 
algebras. 924:46143 

Bistrém, Peter (with Bjon, Sten; Lindstrém, Mikael) Function algebras on which homomor- 
phisms are point evaluations on sequences. 92k:46036 

Bjon, Sten see Bistrém, Peter; et al., 92k:46036 

Corach, Gustavo (with Suarez, Fernando Daniel) An infinite family of hulls. 92m:46079 

Delvos, Franz-Jiirgen (with Schempp, Walter) Interpolation projectors and closed ideals. 
92¢:41003 

De Marco, G. Representing the algebra of regulated functions as an algebra of continuous 
functions. 92d:46137 

Esterle, J. (with Strouse, E.; Zouakia, F.) Theorems of Katznelson-Tzafriri type for 
contractions. 92¢:47016 

Forrest, Brian Some Banach algebras without discontinuous derivations. 92g:43001 

Frankiewicz, Ryszard see Aniszczyk, Bohdan; et al., 92i:46058 

Grigoryan, Souren Arshakovich Generalized meromorphic functions. (Russian. Armenian 
summary) 92j:46093 

— see also Arzumanyan, V. A., 924:46143 

Henriksen, Melvin Rings of continuous functions from an algebraic point of view. 
92g:46025 

Ivanov, O. V. Generalized Douglas algebras and the corona theorem. (Russian) 92k:46083 

Jarosz, Krzysztof Automatic continuity of separating linear isomorphisms. 92j:46049 

Kurmakaeva, E. Sh. (with Shkarin, S. A.) On the projectivity of some modules over 
polynormed algebras of continuous functions. (Russian) 92b:46075 

Kurose, Hideki Derivations in commutative C*-algebras. 92f:46087 

Lindstrém, Mikael see Bistrém, Peter; et al., 92k:46036 

Maxsein, Thomas see Schwarz, Wolfgang Karl; et al., 92j:11002 

McCarthy, John E. Quasisimilarity of rationally cyclic subnormal operators. 92a:47032 

Pérez-Gonzalez, Fernando On a theorem of Cass and Trautner. 92k:46079 

Ryll-Nardzewski, Czesiaw see Aniszczyk, Bohdan; et al., 92i:46058 

Schempp, Walter see Delvos, Franz-Jirgen, 92e:41003 

Schwarz, Wolfgang Karl (with Maxsein, Thomas; Smith, Paul R.) An example for 
Gel'fand’s theory of commutative Banach algebras. 92j:11002 

Shkarin, S. A. see Kurmakaeva, E. Sh., 92b:46075 

Smith, Paul R. see Schwarz, Wolfgang Karl; et al., 92j:11002 

Soderborg, Nathan Quasiregular mappings with finite multiplicity and Royden algebras. 
92m:30043 

Strouse, E. see Esterle, J.; et al., 92c:47016 

Suarez, Fernando Daniel see Corach, Gustavo, 92m:46079 

Tonev, Toma V. Multi-tuple hulls. 92k:46087 

Wermer, John Function algebras in the fifties and sixties. 92g:01058 

White, M.C. The representation of analytic multivalued functions by compact operators. 
92¢:46106 

Yu, Shu Mo Theorems of F. and M. Riesz concerning harmonic analysis of operators on the 
additive group of real numbers. (Chinese) 92f:43005 

Zouakia, F. see Esterle, J.; et al., 92c:47016 





46J15 


46J15 Banach algebras of differentiable or analytic functions, 
H?-spaces [see also 30D55, 30H05, 32A35, 32A37, 32E25, 
42B30] 


Anderson, James Milne (with Fernandez, José L.; Shields, A. L.) Inner functions and cyclic 
vectors in the Bloch space. 92f:46063 

Cascante, Carmen A note on the zero sets of A(B) and A®(B) in transverse curves. (Italian 
summary) 92b:46081 

Clancey, Kevin F. Representing measures on multiply connected planar domains. 
92e:46110 

Daepp, Ulrich (with Gorkin, Pamela; Mortini, Raymond) Finitely generated radical ideals 
in H™®. 92m:46073 

Fernandez, José L. see Anderson, James Milne; et al., 92f:46063 

Gorkin, Pamela (with Lingenberg, H.-M.; Mortini, Raymond) Homeomorphic disks in the 
spectrum of H™. 92b:46082 

— (with Izuchi, Keiji) Some counterexamples in subalgebras of L©(D). 92m:46074 

— (with Mortini, Raymond) Interpolating Blaschke products and factorization in Douglas 
algebras. 92b:46083 

— see also Daepp, Ulrich; et al., 92m:46073 

Grigoryan, Souren Arshakovich Generalized meromorphic functions. (Russian. Armenian 
summary) 92j:46093 

Guillory, Carroll (with Izuchi, Keiji) Maximal Douglas subalgebras and minimal support 
points. 92m:46075 

Holden, Peter J. On the stable rank of H™. 924:46135 

Ivanov, O. V. Generalized analytic functions and analytic subalgebras. (Russian. Ukrainian 
summary) 92e:46111 

— Generalized Douglas algebras and the corona theorem. (Russian) 92k:46083 

Izuchi, Keiji see Gorkin, Pamela, 92m:46074 and Guillory, Carroll, 92m:46075 

Jaramillo, Jestis A. Multiplicative functionals on algebras of differentiable functions. 

Krasichkov-Ternovskii, I. F. Abstract methods for the local description of closed submod- 
ules of analytic functions. (Russian) 92¢:46112 

Laroco, Leonardo A., Jr. Stable rank and approximation theorems in H™. 92a:46059 

Lingenberg, H.-M. see Gorkin, Pamela; et al., 92b:46082 

Merryfield, Kent G. (with Watson, Saleem) A local algebra structure for H? of the polydisc. 
92k:46084 

Mortini, Raymond Closed and prime ideals of weak Bezout type in H™. 92k:46085 

— see also Gorkin, Pamela; et al., 92b:46082; 92b:46083 and Daepp, Ulrich; et al., 92m:46073 

Nakazi, Takahiko (with Takahashi, Katsutoshi) Homogeneous polynomials and invariant 

subspaces in the polydisc. II. 92¢:46057 

cki, M. Gleason-type decompositions for H(B,,) and Lumer’s Hardy algebra of the 

ball. 92m:46076 

Paulsen, Vern I. Rigidity theorems in spaces of analytic functions. 92d:46136 

Rajoelina, Michel M. Eléments de Cohen et fonctions extérieures de l’algébre du disque. 
II. (English summary) [Cohen elements and outer functions of the disk algebra. II] 
922:46060 

Rupp, Rudolf Stable rank of holomorphic function algebras. 92c:46058 

— Stable rank and the 9-equation. 92g:46066 

— Stable rank and boundary principle. 92i:46063 

Shamoyan, F. A. Diagonal mapping and problems of representation in anisotropic spaces of 
functions that are holomorphic in a polydisk. (Russian) 92h:46077 

Shields, A. L. see Anderson, James Milne; et al., 92f:46063 

Takahashi, Katsutoshi see Nakazi, Takahiko, 92c:46057 

Tolokonnikov, V. A. Generalized Douglas algebras. (Russian) 92m:46077 

Tonev, Toma V. Analytic manifolds in uniform algebras. 92k:46086 

Wang, Jian Finitely generated closed ideals of H®. (Chinese) 92m:46078 

Watson, Saleem see Merryfield, Kent G., 92k:46084 

Zaslavskaya, M.1I. Some representations of uniform algebras on the unit circle and 
polytorus. (Russian. English and Armenian summaries) 92g:46067 


WN. 
. 





Items with secondary classifications in 46315 

Akeroyd, John Density of the polynomials in the Hardy space of certain slit domains. 
92j:30030 

Amar, E. On the corona problem. 92h:32006 

Arias de Reyna Martinez, Juan (with Duran Guardeiio, Antonio J.) Some results about the 
space A~© of analytic functions. 92e:46047 

Aron, Richard M. (with Cole, B. J.; Gamelin, T. W.) Spectra of algebras of analytic 
functions on a Banach space. 92f:46056 

Baribeau, Line (with Harbottle, Sarah) Two new open mapping theorems for analytic 
multivalued functions. 92j:32039 

Blasco De La Cruz, Oscar (with De Souza, Geraldo Soares) Spaces of analytic functions on 
the disc where the growth of M,(F,r) depends on a weight. 92¢:46051 

Brown, Leon Invertible elements in the Dirichlet space. 92e:46054 

Burbea, Jacob (with Kwak, Do Young) Norm and Taylor coefficients estimates of 
holomorphic functions in balls. 92h:32002 

Campbell, Randall K. Equivalent composition operators. 92h:47037 

Cegrell, Urban Representing measures in the spectrum of H®(Q). 92j:32044 

Cohn, William S. Tangential characterizations of Hardy-Sobolev spaces. 92j:32009 

Cole, B. J. see Aron, Richard M.; et al., 92£:46056 

Conway, John B. * The theory of subnormal operators. 92h:47026 

Davis, B. Mark (with McCarthy, John E.) Multipliers of de Branges spaces. 92k:46034 

Deghoul, Djamel Construction de caractéres exceptionnels sur une algébre de Fréchet. 
(English summary) [Construction of exceptional characters on a Fréchet algebra] 
92b:46066 

De Souza, Geraldo Soares see Blasco De La Cruz, Oscar, 92¢:46051 

Douglas, Ronald G. (with Yan, Ke Ren) On the rigidity of Hardy submodules. 924:47009 

Duran Guardeiio, Antonio J. see Arias de Reyna Martinez, Juan, 92e:46047 

Escassut, Alain Integrally closed algebras of analytic elements. 92f:46095 

Gamelin, T. W. see Aron, Richard M.; et al., 92f:46056 

Ghatage, Pratibha G. (with Sun, Shun Hua; Zheng, De Chao) A remark on Bourgain 
algebras on the disk. 92¢:46108 


FUNCTIONAL ANALYSIS 1992 742 


Gonzalez, Manuel (with Gutiérrez del Alamo, Joaquin M.) Compact and weakly compact 
homomorphisms between algebras of differentiable functions. 

Gutiérrez del Alamo, Joaquin M. Homomorphisms between algebras of differentiable 
functions in Banach spaces. (Spanish. English summary) (see 92b:00044) 

— see also Gonzalez, Manuel 

Harbottle, Sarah see Baribeau, Line, 92j:32039 

Hayashi, Mikihiro (with Nakai, Mitsuru; Segawa, Shigeo) Bounded analytic functions on 
two sheeted discs. 92m:30079 

Helson, Henry Large analytic functions. II. 92¢:30039 

— Large analytic functions. 92c:3003& 

— Large analytic functions. III. 92¢:30040 

Hilgert, Joachim (with Olafsson, Gestur; Orsted, Bent) Hardy spaces on affine symmetric 
spaces. 92h:22030 

Izuchi, Keiji Interpolating sequences in the maximal ideal space of H®. 92m:30071 

Jevtié, Miroljub (with Pavlovié, Miroslav) On the Hahn-Banach extension property in 
Hardy and mixed norm spaces on the unit ball. 92j:46043 

Jimbo, Toshiya (with Sakai, Akira) Peak interpolation sets for pseudo-ellipsoids. 92:32021 

Jun, Kil-Woung (with Lee, Young-Whan; Park, Dal-Won) The continuity of derivations 
and module homomorphisms. 92b:46076 

Kazaryan, K.G. Solution of a multiple interpolation problem in the classes H™ in a half- 
plane and a strip. (Russian. English and Armenian summaries) 92g:30034 

Kobayashi, Shoji! On subordination for BMOA. 924:30022 

— Subordination for BMOA. 924:30023 

Krotov, V.G. On the boundary behavior of functions in Hardy-type spaces. (Russian) 
92¢:46050 

Kwak, Do Young see Burbea, Jacob, 92h:32002 

Lee, Young-Whan see Jun, Kil-Woung; et al., 92b:46076 

Lin, Pei-Kee The isometries of H?(K). 92d:46091 

Lotto, B. A. (with Sarason, Donald) Multiplicative structure of de Branges’s spaces. 
92k:46035 

Lou, Zeng Jian A note on a conjecture of S. Axler. (Chinese. English summary) 

— Multipliers of H?, G? and Bloch spaces. 92j:30052 

Lourengo, Mary Lilian Boundaries for some uniform algebras in infinite dimensions. 
92¢:46098 

Madguerova, Andreana Stefanova The geometrical description of ideals in some algebras. 
(see 92d:30002) 

Martin, Reiner On the ideal structure of the Nevanlinna class. 92c:46059 

McCarthy, John E. see Davis, B. Mark, 92k:46034 

Nakai, Mitsuru see Hayashi, Mikihiro; et al., 92m:30079 

Nakazi, Takahike Existence of solutions of extremal problems in H'. 92b:30043 

— Szegé’s theorem on a bidisc. 92¢:32007 

— Extremal problems in H?. 92m:30070 

Narita, Junichiro Interpolating sequences on plane domains. 92f:30052 

Olafsson, Gestur see Hilgert, Joachim; et al., 92h:22030 

@rsted, Bent see Hilgert, Joachim; et al., 92h:22030 

Park, Dal-Won see Jun, Kil-Woung; et al., 92b:46076 

Pavlovi¢é, Miroslav see Jevti¢, Miroljub, 92j:46043 

Popescu, Gelu von Neumann inequality for (B(#)"),. 92k:47073 

Prieto Yerro, Angeles Strict continuous homomorphisms on spaces of bounded holomor- 
phic functions. 

Rupp, Rudolf Stable rank of finitely generated algebras. 92c:46055 

Sakai, Akira see Jimbo, Toshiya, 92f:32021 

Sarason, Donald see Lotto, B. A., 92k:46035 

Segawa, Shigeo see Hayashi, Mikihiro; et al., 92m:30079 

Shapiro, Joel H. (with Sundberg, Carl) Isolation amongst the composition operators. 
92g:47041 

Shiga, Hiroshige Hardy spaces and BMO on Riemann surfaces. 92j:30032 

Singh, Dinesh see Singh, U. N., 92b:46028 

Singh, U.N. (with Singh, Dinesh) Ona theorem of de Branges. 92b:46028 

Sinha, P.C. Some results on a Banach algebra of a class of Dirichlet series. 92m:30005 

Smith, Robert Colman Toeplitz operators and algebras of bounded analytic functions on the 
disk. 92f:47020 

Sun, Shun Hua see Ghatage, Pratibha G.; et al., 92e:46108 

Sundberg, Carl see Shapiro, Joel H., 92g:47041 

Tolokonnikev, V. A. Algebras of Toeplitz operators in spaces of smooth functions. (Russian) 
92h:47032 

Tonev, Toma V. On the I-entire functions. (see 92b:00048) 

Ubge, Jan Integral operators on interpolation sets in C”. 92j:32045 

Wang, James Li Ming A Mergelyan-Vitushkin approximation theorem for rational 
modules. 92h:30078 

Wermer, John Function algebras in the fifties and sixties. 92g:01058 

Yan, Ke Ren see Douglas, Ronald G., 92d:47009 

Zarrabi, Mohamed Synthése spectrale dans certaines algebres de Beurling sur le cercle unité. 
(English summary) [Spectral synthesis in certain Beurling algebras on the unit circle] 
92b:43009 

Zheng, De Chao see Ghatage, Pratibha G.; et al., 92e:46108 

Zhu, Ke He Duality of Bloch spaces and norm convergence of Taylor series. 92h:30004 

Zhu, Xue Xian Atomic composition of H?(R" x --- x R""), 0<p<1.(Chinese) 92i:42011 

Zinsmeister, Michel Espaces de Hardy et domaines de Denjoy. [Hardy spaces and Denjoy 
domains] 92c:30041 


46J20 Ideals, maximal ideals, boundaries 


Corach, Gustavo (with Suarez, Fernando Daniel) An infinite family of hulls. 92m:46079 

Han, De Guang Finite-codimensional ideals in Banach algebras. (Chinese. English 
summary) 92j:46094 

Kurose, Hideki Local algebras of homogeneous Banach algebras on the circle. 92g:46068 

Madguerova, Andreana Stefanova The geometrical description of ideals in some algebras. 
(see 92d:30002) 

Martin, Reiner On the ideal structure of the Nevanlinna class. 92¢:46059 





743 1992 


Sudrez, Fernando Daniel see Corach, Gustavo, 92m:46079 
Tonev, Toma V. Multi-tuple hulls. 92k:46087 
— Multi-tuple Shilov boundaries of algebra tensor products. 92b:46084 


Items with secondary classifications in 46J20 

Feinstein, Joel Francis Point derivations and prime ideals in R(X). 92i:46061 

Jarosz, Krzysztof Generalizations of the Gleason-Kahane-Zelazko theorem. 92m:46003 

Khanin, L. G. Closed ideals in algebras of functions that satisfy the generalized Zygmund 
condition. (Russian) (see 92i:00016) 

Lourengo, Mary Lilian Boundaries for some uniform algebras in infinite dimensions. 
92e:46098 

Tonev, Toma V. Multi-dimensional analytic structures and uniform algebras. 92j:32043 

— Analytic manifolds in uniform algebras. 92k:46086 


46J25 Representations of commutative topological algebras 


De Marco, G. Representing the algebra of regulated functions as an algebra of continuous 
functions. 924:46137 


46330 Subalgebras 


Items with secondary classifications in 46J30 

Downum, Philip (with Lindberg, John A., Jr.) Closed subalgebras of the Banach algebra of 
continuously differentiable functions on an interval. 92h:46075 

Gorkin, Pamela (with Izuchi, Keiji) Some counterexamples in subalgebras of L°(D). 
92m:46074 

Guillory, Carroll (with Izuchi, Keiji) Maximal Douglas subalgebras and minimal support 
points. 92m:46075 

Izuchi, Keiji see Gorkin, Pamela, 92m:46074 and Guillory, Carroll, 92m:46075 

Lindberg, John A., Jr. see Downum, Philip, 92h:46075 


46J40 Structure, classification of commutative topological 
algebras 


Garimella, Ramesh V. Prime ideals and the continuity of derivations on integral domains. 
92k:46088 

Thomas, Marc P. Principal ideals and semi-direct products in commutative Banach 
algebras. 92h:46078 

Wiad, Katarzyna The Wiener theorem for Dirichlet’s multiplication. 92h:46079 


Items with secondary classifications in 46J40 

Grenbek, Niels Constructions preserving weak amenability. 92a:46056 

— Acharacterization of weakly amenable Banach algebras. 922:46055 

Husain, Taqdir On continuity of MLFs—a survey of the Michael-Mazur problem. (see 
92g:00026) 

Redlin, Lothar (with Watson, Saleem) Triangular and cotriangular bases in topological 
algebras. 92i:46057 

Watson, Saleem see Redlin, Lothar, 92i:46057 


46J45 Radical Banach algebras 


Items with secondary classifications in 46J45 

Rajoelina, Michel M. Eléments de Cohen et fonctions extérieures de l’algebre du disque. 
IL. (English summary) [Cohen elements and outer functions of the disk algebra. II] 
92a:46060 

Runde, Volker Automatic continuity of derivations and epimorphisms. 92k:46080 


46399 None of the above, but in this section 


Gonzalez, Manuel (with Gutiérrez del Alamo, Joaquin M.) Compact and weakly compact 
homomorphisms between algebras of differentiable functions. 92j:46095 

Gutiérrez del Alamo, Joaquin M. see Gonzalez, Manuel, 92j:46095 

Items with secondary classifications in 46J99 

Bernau, S. J. (with Huijsmans, C. B.) On the positivity of the unit element in a normed 
lattice ordered algebra. 924:46054 

Chen, Wan Yi Stabilizability, controllability and observability of linear continuous-time 
systems defined over a commutative Banach algebra. 92g:93031 

Forrest, Brian Amenability and bounded approximate identities in ideals of A(G). 
92¢:43003 

— Complemented ideals in the Fourier algebra and the Radon Nikodym property. 
92m:43003 

Grzesiak, Maciej A remark on some space of R-linear operators. 92¢:46019 

Huijsmans, C. B. see Bernau, S. J., 924:46054 

Johnson, B. E. Weak amenability of group algebras. 92k:43004 

Kannan, V. Linear selection of spectral elements. 92c:54025 

Lyons, Russell The local structure of some measure-algebra homomorphisms. 92f:43003 

Maczyiiski, Maciej J. A theorem on representation of algebraic systems admitting a full set 
numerical functionals. 924:08006 

Ouyang, Guang Zhong Properties and multipliers of function algebras that are intersections 
of Lipschitz spaces and L;(G). (Chinese) 92h:43009 

Peloso, M. M. Central critical points in the spectrum of the Fourier-Stieltjes algebra of a 
locally compact group. (Italian summary) 92k:43005 

Poletaev, G.S. The paired equation of convolution type with kernels from different Banach 
algebras. (Russian. Ukrainian summary) 92i:47059 

Popescu, George Korovkin theorems in Banach algebras. 92h:46106 

A.A. On the existence of homogeneous independent completions. 

(Russian) (see 92d:28002) 


46K Topological (rings and) algebras with an involution 


46K15 


Zarrabi, Mohamed Ensembles de synthése pour certaines algtbres de Beurling. (English 
summary) [Sets of synthesis for certain Beurling algebras] 92a:43005 


46Kxx Topological (rings and) algebras with an 
involution [see also 16W10] 


46K05 General theory of topological algebras with involution 


Antoine, J.-P. (with Ota, Schéichi) Unbounded GNS representations of a *-algebra in a 
Krein space. 92a:46061 

— (with Inoue, Atsushi) Representability of invariant positive sesquilinear forms on partial 
*-algebras. 92b:46085 

Chilin, V.1. see Zakirov, B. S., 92h:46081 

El Kinani, Abdellah Fonctions harmoniques opérant sur les algebres de Banach involutives. 
(English summary) [Harmonic functions acting on Banach algebras with involution] 
92j:46096 

Epifanio, Giuseppina (with Trapani, Camillo) Partial *-algebras and Volterra convolution 
of distribution kernels. 92d:46138 

Inoue, Atsushi see Antoine, J.-P., 92b:46085 

Kulkarni, S. H. Representations of a class of real B*-algebras as algebras of quaternion- 
valued functions. 92k:46089 

Lassner, Gerd (with Lassner, Gisela A.) Qu*-algebras and representations. (German 
summary) 92m:46080 

Lassner, Gisela A. see Lassner, Gerd, 92m:46080 

Li, Bing Ren On Araki and Elliott’s Theorem 1. (Chinese. English summary) 92k:46090 

Maltese, George Extreme positive functionals and ideals of finite codimension in commuta- 
tive Banach +-algebras. 92h:46080 

Mohammad, Noor (with Verjovsky, Alberto) An inner product for a Banach *-algebra. 
92k:46091 

Ota, Schéichi see Antoine, J.-P., 92a:46061 

Semrl, Peter Quadratic functionals and Jordan +-derivations. 924:46139 

Trapani, Camillo see Epifanio, Giuseppina, 924:46138 

Verjovsky, Alberto see Mohammad, Noor, 92k:46091 

Zakirov, B.S. (with Chilin, V. I.) Generalized B*-algebras and unbounded operator 
algebras. (Russian) 92h:46081 


Items with secondary classifications in 46K05 

Abel, Mati Abel Strongly spectrally bounded algebras. 92b:46070 

Alimov, A. A. Normal functionals on EW*-algebras. (Russian. Uzbek summary) 92b:47071 

Bhatt, Subhash J. (with Karia, Dinesh J.) Complete positivity, tensor products and C*- 
nuclearity for inverse limits of C*-algebras. 92j:46103 

Chilin, V.1. see Zakirov, B. S., 92g:47068 

Inoue, Atsushi Standard partial O*-algebras. 92j:47085 

Itoh, Takashi! A decomposition theorem in a Banach +-algebra related to completely 
bounded maps on C*-algebras. 92g:46071 

Karia, Dinesh J. see Bhatt, Subhash J., 92j:46103 

Paszkiewicz, Adam Wold-type decompositions for equivalent projections in operator 
algebras. (Russian summary) 92f:46071 

Patterson, Paul L. Characterizations of algebras arising from locally compact groups. 
92¢:43001 

Smarda, Bohumil Polarity on C*-algebras. (Russian summary) 92¢:46120 

Zakirov, B.S. (with Chilin, V.1.) Abstract characterization of EW*-algebras. (Russian) 
92g:47068 


46K10 Representations of topological algebras with involution 


Fragoulopoulou, Maria * An introduction to the representation theory of topological *- 
algebras. 92h:46082 

Jorgensen, Palle E.T. Extensions and index of Hermitian representations. 92b:46086 

McLean, R. G. Ona problem of Barnes and Duncan. 924:46140 

Ota, Schéichi Quasi-affinity for unbounded representations. 92k:46092 

Stochel, Jan (with Todorov, T. S.) On the characterization of cyclic *-representations with 
equal weak and strong commutants: domination of functionals and a general notion of 
normality. 92m:46081 

— (with Todorov, T. S.) On the characterization of cyclic*-representations with equal 
weak and strong commutants: on GNS representations induced by normal functionals 
(commutative case). 92m:46082 

Todorov, T.S. see Stochel, Jan, 92m:46081 and 92m:46082 

Zelazko, Wieslaw On a problem of Fell and Doran. 92k:46093 


Items with secondary classifications in 46K10 

Belanger, Alain (with Thomas, Erik G. F.) Positive forms on nuclear +-algebras and their 
integral representations. 92j:46102 

Jorgensen, Palle E.T. Imprimitivity systems associated to regions in R", connections 
between geometry and spectrum, a sample of problems. (see 92d:00034) 

Kiirsten, Klaus-Detlef (with Milde, Michael) Calkin representations of unbounded operator 
algebras acting on nonseparable domains. 92j:47086 

Milde, Michael see Kirsten, Klaus-Detlef, 92j:47086 

Molnar, Lajos Note on Saworotnow’s representation theorem on positive definite functions. 
92j:46097 

Thomas, Erik G. F. see Belanger, Alain, 92j:46102 


46K15 Hilbert algebras 


Cabrera-Garcia, Miguel Hilbert modules over H*-algebras, and applications. (Spanish. 
English summary) (see 92m:00049) 

Molndr, Lajos Note on Saworotnow’s representation theorem on positive definite functions. 
92j:46097 





46K15 


— *-representations of the trace-class of an H*-algebra. 92i:46064 
Xie, Huo An Complete left [right] Hilbert algebras. (Chinese. English summary) 92m:46083 


Items with secondary classifications in 46K15 

Castellén Serrano, Alberto (with Cuenca Mira, José Antonio) Quadratic characterization of 
the Jordan H*-algebras. (Spanish. English summary) (see 92b:00044) 

Cuenca Mira, José Antonio see Castellén Serrano, Alberto, (92b:00044) 

Inoue, Atsushi Extension of unbounded left Hilbert algebras to partial +-algebras. 
92b:47072 

Mohammad, Noor (with Verjovsky, Alberto) An inner product for a Banach *-algebra. 
92k:46091 

Verjovsky, Alberto see Mohammad, Noor, 92k:46091 


46K50 Nonselfadjoint (sub)algebras in algebras with involution 


Items with secondary classifications in 46K50 
Larson, David R. Some recent progress in nest algebras. 92g:47059 


46K70 Nonassociative topological algebras with an involution 
[see also 46H70, 46L70] 


Beckhoff, Ferdinand Korovkin theory in normed algebras. 92j:46098 

Cabrera-Garcia, Miguel Complex H*-algebras with linear involution, real H*-algebras. 
(Spanish. English summary) (see 92g:00024) 

Castellén Serrano, Alberto (with Cuenca Mira, José Antonio) Quadratic characterization of 
ihe Jordan H*-algebras. (Spanish. English summary) (see 92b:00044) 

Cuenca Mira, José Antonio see Castellén Serrano, Alberto, (92b:00044) 

Martinez-Moreno, J. Isomorphisms of real H*-algebras. (Spanish. English summary) (see 
92g:00024) 

Semrl, Peter On Jordan +-derivations and an application. 92b:46087 

Zalar, Borut Continuity of derivations on Mal'cev H*-algebras. 92j:46099 


Items with secondary classifications in 46K70 

Bensebah, Ali JV-algébres et JH*-algébres. (English summary) [JV-algebras and JH*- 
algebras] 92j:46088 

Cabrera-Garcia, Miguel (with Rodriguez-Palacios, Angel) Nonassociative ultraprime 
normed algebras. 92m:46070a 

— Hilbert modules over H*-algebras, and applications. (Spanish. English summary) (see 
92m:00049) 

— (with Rodriguez-Palacios, Angel) Nonassociative ultraprime normed algebras. 
92m:46070b 

Rodriguez-Palacios, Angel see Cabrera-Garcia, Miguel, 92m:46070a and 92m:46070b 

Semrl, Peter Quadratic functionals and Jordan +-derivations. 924:46139 


46K99 None of the above, but in this section 
Schiirmann, Michael Gaussian states on bialgebras. 92g:46069 


Items with secondary classifications in 46K99 


Chevalier,G. Around the relative center property in orthomodular lattices. 92d:06023 

Kulkarni, S. H. (with Srinivasan, N.) An analogue of Wermer’s theorem for a real function 
algebra. 92b:46079 

Mahly, Paul S. (with Qiu, Chao Xin; Solel, Baruch) Intrinsic isomorphism invariants for 
some triangular operator algebras. 92f:46061 

Nimbhorkar, S. K. see Thakare, N. K., 92d:16042 

Qiu, Chao Xin see Muhly, Paul S.; et al., 92f:46061 

Shabani, J. On some class of topological quasi *-algebra. 92i:47051 

Solel, Baruch see Muhly, Paul S.; et al., 92f:46061 

Srinivasan, N. see Kulkarni, S. H., 92b:46079 

Thakare, N. K. (with Nimbhorkar, S. K.) Prime strict ideals in Rickart *-rings. 92d:16042 


46Lxx Selfadjoint operator algebras (C*-algebras, von 
Neumann (W*-) algebras, etc.) [see also 22D25] 


Akemann, Charles A. (with Anderson, Joel) Lyapunov theorems for operator algebras. 
92¢:46113 

Anderson, Joel see Akemann, Charles A., 92e:46113 

Kadison, Richard V. Operator algebras—an overview. 924:46141 

— (with Ringrose, John R.) * Fundamentals of the theory of operator algebras. Vol. III. 
92m:46084 

Majid, Shahn Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, 
and the classical Yang-Baxter equations. 92b:46088 

Phillips, N. Christopher Five problems on operator algebras. (see 92d:00034) 

Ringrose, John R. see Kadison, kichard V., 92m:46084 

Saito, Kichi-Suke An introduction to Toeplitz operators associated with analytic crossed 
products. (see 92d:00034) 

Sauvageot, Jean-Luc Quantum Dirichlet forms, differential calculus and semigroups. 
92h:46083 


Items listed otherwise than by author 

Problems: 
Operator algebras A collection of problems on operator algebras. 92j:46100 

Structure of partial operator rings * Bubun sayOso kan no k6z6. (Japanese) [Structure of 
partial operator rings] 92d:46142 

Symposium: 
Structure of Partial Operator Rings * Bubun saydso kan no k6zo. (Japanese) [Structure 

of partial operator rings] 92d:46142 


FUNCTIONAL ANALYSIS 


Items with secondary classifications in 46Lxx 

Connes, Alain Noncommutative geometry. 92a:58136 

(Doran, Robert S.) see Selfadjoint and nonselfadjoint operator algebras and operator theory, 
92d:00034 

Wu, Liang Sen A survey of the development of operator algebra. (Chinese. English 
summary) 92c:46002 


Items listed otherwise than by author 

Conference: 
Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory * Selfadjoint and 

nonselfadjoint operator algebras and operator theory. 92d:00034 

Contemporary Mathematics * Selfadjoint and nonselfadjoint operator algebras and 
operator theory. 92d:00034 

Fort Worth, TX * Selfadjoint and nonselfadjoint operator algebras and operator theory. 
92d:00034 

Selfadjoint and nonselfadjoint operator algebras and operator theory * Selfadjoint and 
nonselfadjoint operator algebras and operator theory. 924:00034 


46L05 General theory of C*-algebras 


Acosta Vigil, Maria Dolores An approximation property in C*-algebras and JB*-algebras. 
(Spanish) (see 92g:00024) 

Alberti, Peter M. On the geometry of pairs of positive linear forms. I. (German summary) 
92):46101 

Ara, Pere On the symmetric algebra of quotients of a C*-algebra. 92g:46070 

Arzumanyan, V. A. (with Grigoryan, Souren Arshakovich) Noncommutative uniform 
algebras. 92d:46143 

— (with Grigoryan, Souren Arshakovich) Invariant algebras of operator fields on compact 
abelian groups. (Russian and Armenian summaries) 92h:46084 

Beggs, Edwin J. (with Evans, David E.) Real rank zero families of C*-algebras. 92d:46144 

— (with Evans, David E.) The real rank of algebras of matrix valued functions. 92¢:46114 

Belanger, Alain (with Thomas, Erik G. F.) Positive forms on nuclear +-algebras and their 
integral representations. 92j:46102 

Bhatt, Subhash J. (with Karia, Dinesh J.) Complete positivity, tensor products and C*- 
nuclearity for inverse limits of C*-algebras. 92j:46103 

Boca, Florin (with Nitica, V.) Extensions of groups and simple C*-algebras. 92h:46085 

— Free products of completely positive maps and spectral sets. 92f:46064 

Bourgain, Jean (with Tzafriri, L.) Ona problem of Kadison and Singer. 92j:46104 

Boutet de Monvel-Berthier, Anne-Marie (with Georgescu, Vladimir) Graded C*-algebras in 
the N-body problem. 92m:46085 

Boyer, Robert P. Representation theory of U(co). 92b:46089 

Brown, Lawrence G. (with Pedersen, Gert K.) C*-algebras of real rank zero. 92m:46086 

Byun, Chang Ho see Shin, Dong Yun; et al., 92d:46147 

Chen, Qing (with Zhu, Zuo Tong) Completely positive mappings and their tensor products. 
(Chinese. English summary) 92¢:46115 

Choi, Man Duen (with Elliott, George A.) Density of the selfadjoint elements with finite 
spectrum in an irrational rotation C*-algebra. 92a:46062 

Davidson, Kenneth R. Lifting positive elements in C*-algebras. 92f:46065 

Elliott, George A. Dimension groups with torsion. 92¢:46116 

— see also Choi, Man Duen, 92:46062 

Enomoto, Masatoshi (with Watatani, Yasuo) Reduced group C*-algebras with the metric 
approximation property by N-positive maps. 92j:46105 

Evans, David E. see Beggs, Edwin J., 92d:46144 and 92e:46114 

Farenick, D. R. Krein-Mil'man-type problems for compact matricially convex sets. 
92):46106 

Fernandez Miranda, Mercedes Eléments réguliers d’une C* algébre. (English summary) 
[Regular elements of a C* algebra] 92e:46117 

Fialkow, Lawrence A. (with Salas, Héctor) Majorization, factorization and systems of linear 
operator equations. 92h:46086 

Georgescu, Vladimir see Boutet de Monvel-Berthier, Anne-Marie, 92m:46085 

Grigoryan, Souren Arshakovich see Arzumanyan, V. A., 92d:46143 and 92h:46084 

Haagerup, Uffe On convex combinations of unitary operators in C*-algebras. 92h:46087 

Hannabuss, Keith C. (with Weiss, Winfried R. E.) The structure and representations of a 
C*-algebra associated to the super-Poincaré group. 92a:46063 

Huruya, Tadasi (with Kye, Seung-Hyeok) Testing pairs for exactness of C*-algebras. 
92j:46107 

Itoh, Takashi! A decomposition theorem in a Banach +-algebra related to completely 
bounded maps on C*-algebras. 92g:46071 

Ji, Ronghui (with Pedersen, Steen) Full group C*-algebras and the generalized Kadison 
conjecture. 92¢:46060 

Kajetanowicz, Przemysiaw Domination theorems in noncommutative C*-algebras. 
924:46145 

Karia, Dinesh J. see Bhatt, Subhash J., 92j:46103 

Kim, Sang Og see Shin, Dong Yun; et al., 92d:46147 

Kodaka, Kazunori Automorphisms of tensor products of irrational rotation C*-algebras and 
the C*-algebra of compact operators. 92g:46072 

Kokotov, A. Yu. The spectrum of a C*-algebra of Fourier multipliers in a cone. (Russian) 
92k:46094 

Kurose, Hideki (with Ogi, Hidekazu) On a generalization of the Tomita-Takesaki theorem 
for a quasifree state on a self-dual CCR algebra. 922:46064 

Kye, Seung-Hyeok see Huruya, Tadasi, 92j:46107 

Lee, Sa Ge see Shin, Dong Yun; et al., 92d:46147 

Lin, Hua Xin Generalized Weyl-von Neumann theorems. 92m:46087 

— (with Zhang, Shuang) On infinite simple C*-algebras. 92m:46088 

— Simple C*-algebras with continuous scales and simple corona algebras. 92e:46118 

Martin, Mircea Projective representations of compact groups in C*-algebras. 92f:46066 

Muhly, Paul S. (with Solel, Baruch) On triangular subalgebras of groupoid C*-algebras. 
92m:46089 

Mundici, Daniele Approximately finite-dimensional C*-algebras, abelian /-groups and 
Lukasiewicz’s infinite-valued logic. 92a:46065 





745 1992 


Munemasa, Akihiro (with Watatani, Yasuo) Paires orthogonales de sous-algébres 
involutives. (English summary) [Orthogonal pairs of «-subalgebras and association 
schemes] 92m:46090 

Nishimura, Hirokazu Some connections between Boolean valued analysis and topological 
reduction theory for C*-algebras. 92a:46066 

Nitica, V. see Boca, Florin, 92h:46085 

Ogi, Hidekazu see Kurose, Hideki, 922:46064 

Osaka, Hiroyuki Completely bounded multilinear functionals on C*-algebras. 92a:46067 

— Positive projections on C*-algebras. 92d:46146 

Paterson, Alan L.T. Nuclear C*-algebras have amenable unitary groups. 92f:46067 

Paulsen, Vern I. Three tensor norms for operator spaces. 92j:46108 

Pedersen, Gert K. The corona construction. 92¢:46119 

— see also Brown, Lawrence G., 92m:46086 

Pedersen, Steen see Ji, Ronghui, 92c:46060 

Poon, Yiu Tung Analytic triangular algebras with integer valued cocycle. (see 92d:00034) 

Rakotevi¢é, Vladimir Spectral radius formulae in quotient C*-algebras. 92c:46061 

Rerdam, Mikael On the structure of simple C*-algebras tensored with a UHF-algebra. 
92m:46091 

Saité, Kazuyuki (with Wright, J.D. Maitland) All AW*-factors are normal. 92f:46068 

Salas, Héctor see Fialkow, Lawrence A., 92h:46086 

Sheu, Albert Jeu-Liang Reinhardt domains, boundary geometry, and Toeplitz C*-algebras. 
92a:46068 

Shin, Dong Yun (with Lee, Sa Ge; Byun, Chang Ho; Kim, Sang Og) On matrix normed 
spaces. 924:46147 

Smarda, Bohumil Polarity on C*-algebras. (Russian summary) 92¢:46120 

Smith, Roger R. Extension problems for maps on operator systems. 92f:46069 

Solel, Baruch see Muhly, Paul S., 92m:46089 

Somerset, D. W. B. Discontinuous homomorphisms from C*-algebras. 924:46148 

Su, Hong Bing On the classification of C*-algebras of real rank zero: inductive limits of 
matrix algebras over graphs. 92k:46095 

Suen, Ching Yun On a theorem of Glimm. 92b:46090 

— Ann x n matrix of linear maps of a C*-algebra. 922:46069 

Sun, Hua Rong (with Wang, Gen Yuan) On C*-algebras satisfying condition C’. 92f:46070 

Teleman, Silvia On the Dauns-Hofmann theorem. 92a:46070 

Thomas, Erik G. F. see Belanger, Alain, 92j:46102 

Thomsen, Klaus On isomorphisms of inductive limit C*-algebras. 924:46149 

Térdk, Andrei AF-algebras with unique trace. 92j:46109 

Tsui, Sze-Kai Constructions of extreme n-positive linear maps. 92m:46092 

Tzafriri, L. see Bourgain, Jean, 92j:46104 

Ventura, Belisario A. Strongly maximal triangular AF algebras. 92k:46096 

Voiculescu, Dan A note on quasi-diagonal C*-algebras and homotopy. 92¢:46062 

Wang, Gen Yuan see Sun, Hua Rong; et al., 92f:46070 

Watatani, Yasuo see Enomoto, Masatoshi, 92j:46105 and Munemasa, Akihiro, 92m:46090 

Weiss, Winfried R. E. see Hannabuss, Keith C., 92a:46063 

Woronowicz, S. L. A remark on compact matrix quantum groups. 92k:46097 

Wright, J.D. Maitland see Saité, Kazuyuki, 92f:46068 

Yamagami, Shigeru On primitive ideal spaces of C*-algebras over certain locally compact 
groupoids. 92j:46110 

Ylinen, Kari Representing completely bounded multilinear operators. 92k:46098 

Zhang, Shuang Diagonalizing projections in multiplier algebras and in matrices over a C*- 
algebra. 92h:46088 

— see also Lin, Hua Xin, 92m:46088 

Zhu, Zuo Tong see Chen, Qing; et al., 92e:46115 


Items with secondary classifications in 46L05 


Alimov, A. A. Normal functionals on E W*-algebras. (Russian. Uzbek summary) 92b:47071 

Berman, Kenneth A. (with Halpern, Herbert; Kaftal, Victor; Weiss, Gary) Some C, and Cs 
norm inequalities related to the paving problem. 92b:47010 

Blackadar, Bruce Rational C*-algebras and nonstable K-theory. 92¢:46135 

Blecher, David P. Some applications of a recent characterization of operator algebras. (see 
92d:00034) 

Blimlinger, Martin Characterization of measures in the group C*-algebra of a locally 
compact group. 92d:22004 

Bunce, L. J. (with Wright, J. D. Maitland) Complex Borel structure in JC-algebras. 
924:46172 

Dang, Trien Bang Real isometries between JB*-triples. 92g:46084 

Debnath, Lokenath see Verma, Ram U., 92c:47004 

Effros, Edward G. (with Ruan, Zhong-jin) On approximation properties for operator 
spaces. 92g:46089 

Evans, David E. C*-algebraic methods in statistical mechanics and field theory. 92¢:81082 

— (with Kishimoto, Akitaka) Compact group actions on UHF algebras obtained by folding 
the interval. 92h:46093 

Froelich, John Operator algebras and differential topology. (see 92d:00034) 

Galé, José E. (with Ransford, T. J.; White, M. C.) Weakly compact homomorphisms. 
92h:46074 

Halpern, Herbert see Berman, Kenneth A.; et al., 92b:47010 

Han, De Guang Best approximations in tensor product spaces. (Chinese. English summary) 
92¢:46141 

Jiang, Xin Hui see Li, Bing Ren; et al., 92h:46100 

Kaftal, Victor see Berman, Kenneth A.; et al., 92b:47010 

Kastler, Daniel (with Mebkhout, M.) Revisiting the Mackey-Stone-von Neumann theorem: 
the C*-algebra of a presymplectic space. 92k:46117 

Khoshkam, Mahmood Close C*-algebras are K K-equivalent. 92b:46114 

Akitaka see Evans, David E., 92h:46093 

Kulkarni, S.H. Representations of a class of real B*-algebras as algebras of quaternion- 
valued functions. 92k:46089 

Kusuda, Masaharu A characterization of ideals of C*-algebras. 92g:46074 

Leung, C. W. (with Plymen, Roger J.) L?-Fourier transform for reductive p-adic groups. 
92g:22015 

— see also Plymen, Roger J., 92g:22016 


46L Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) 


46L10 


Li, Bing Ren (with Jiang, Xin Hui) The tracial state space of the GICAR algebra. (Chinese) 
92h:46100 

— On Araki and Elliott’s Theorem 1. (Chinese. English summary) 92k:46090 

Mathieu, Martin The symmetric algebra of quotients of an ultraprime Banach algebra. 
92¢:46061 

Mebkhout, M. see Kastler, Daniel, 92k:46117 

Murphy, Gerard J. The analytic rank of a C*-algebra. 92i:46085 

Osaka, Hiroyuki Indecomposable positive maps in low-dimensional matrix algebras. 
92g:15028 

Pavone, Marco On norm-closed ideals in von Neumann algebras. (Italian summary) 
92i:46066 

Peligrad, Costel Crossed product C*-algebras by compact group actions vs. fixed point 
algebras. 92¢:46133 

Peters, Justin R. On analytic subalgebras of UHF algebras. 92g:47063 

Plymen, Roger J. (with Leung, C. W.) Arithmetic aspect of operator algebras. 92g:22016 

— see also Leung, C. W., 92g:22015 

Power, S.C. Refinement theory for nonselfadjoint operator algebras. 92b:47067 

— Classification of tensor products of triangular operator algebras. 92a:47053 

Price, Geoffrey Shifts on certain operator algebras. 92h:46098 

— The C*-algebras generated by pairs of semigroups of isometries satisfying certain 
commutation relations. 92i:46078 

Ramsay, Arlan (with Walter, Martin E.) Fourier-Stieltjes algebras of locally compact 
groupoids. 92h:43014 

Ransford, T. J. see Galé, José E.; et al., 92h:46074 

Ruan, Zhong-jin see Effros, Edward G., 92g:46089 

Salinas, Norberto Noncompactness of the 9-Neumann problem and Toeplitz C*-algebras. 
92j:32086 

Sheu, Albert Jeu-Liang How are the Toeplitz C*-algebras of Reinhardt domains affected by 
taking pseudoconvex hulls? 92g:46088 

— Isomorphism of the Toeplitz C*-algebras for the Hardy and Bergman spaces on certain 
Reinhardt domains. 92k:47054 

Stochel, Jan (with Todorov, T. S.) On the characterization of cyclic*-representations 
with equal weak and strong commutants: on GNS representations induced by normal 
functionals (commutative case). 92m:46082 

Timmermann, W. On positive maps in algebras of unbounded operators. 92j:47087 

Todorov, T.S. see Stochel, Jan, 92m:46082 

Verma, Ram U. (with Debnath, Lokenath) On the joint numerical status and tensor 
products. 92c:47004 

Voiculescu, Dan Noncommutative random variables and spectral problems in free product 
C*-algebras. 92f:46084 

Walter, Martin E. see Ramsay, Arlan, 92h:43014 

Weiss, Gary see Berman, Kenneth A.; et al., 92b:47010 

White, M.C. see Galé, José E.; et al., 92h:46074 

Woronowicz, S. L. Unbounded elements affiliated with C*-algebras and noncompact 
quantum groups. 92b:46117 

Wright, J. D. Maitland see Bunce, L. J., 92d:46172 

Xu, Ping Morita equivalent symplectic groupoids. 92i:46086 

Ylinen, Kari Completely bounded noncommutative bimeasures and random fields. (see 
92b:00045) 

Zhang, Shuang Trivial K,-flow of AF algebras and finite von Neumann algebras. 92f:46086 


46L10 General theory of von Neumann algebras 


A hb Nol. 





he, C. On completely positive maps defined by an irreducible 
correspondence. 92g:46073 

Bhat, B. V. Rajarama On a characterization of velocity maps in the space of observables. 
92k:46099 

Bunce, L. J. The Dunford-Pettis property in the predual of a von Neumann algebra. 
92k:46100 

Chu, Cho-Ho (with lochum, Bruno) The Dunford-Pettis property in C*-algebras. 
92b:46091 

— von Neumann algebras which are second dual spaces. 92b:46092 

Goldstein, Stanislaw (with Paszkiewicz, Adam) Linear combinations of projections in von 
Neumann algebras. 92k:46101 

Haagerup, Uffe (with Stormer, Erling) Equivalence of normal states on von Neumann 
algebras and the flow of weights. 924:46150 

Halpern, Herbert (with Kaftal, Victor; Zsid6, Laszl6) Finite weight projections in von 
Neumann factors. 92b:46094 

— (with Kaftal, Victor; Zsid6, Laszl6) Finite weight projections in von Neumann algebras. 
92b:46093 

Tochum, Bruno see Chu, Cho-Ho, 92b:46091 

Jaffe, Arthur M. (with Stoichev, O. Ts.) The modular group and super-KMS functionals. 
(see 92g:00021) 

Kadison, Richard V. Reflections relating a von Neumann algebra and its commutant. 
92m:46093 

Kaftal, Victor Type decomposition for von Neumann algebra embeddings. 92i:46065 

— see also Halpern, Herbert; et al., 92b:46093 and 92b:46094 

Mercer, Richard Isometric isomorphisms of Cartan bimodule algebras. 92k:46102 

Ozawa, Masanao Boolean valued interpretation of Banach space theory and module 
structures of von Neumann algebras. 92b:46095 

Paszkiewicz, Adam Wold-type decompositions for equivalent projections in operator 
algebras. (Russian summary) 92f:46071 

— see also Goldstein, Stanislaw, 92k:46101 

Pavone, Marco On norm-closed ideals in von Neumann algebras. (Italian summary) 
92i:46066 

Saité, Kazuyuki (with Wright, J.D. Maitland) Normal AW*-algebras. 92i:46067 

Salikh, Yasin Abduldzhabbar see Usmanov, Sh. M., 92k:46103 

Solel, Baruch Distance formula and contractive projections. (see 92d:00034) 

Stoichev, O. Ts. see Jaffe, Arthur M., (92g:00021) 

Stormer, Erling Equivalence of normal states of von Neumann algebras. 92d:46151 





46L10 


— see also Haagerup, Uffe, 92d:46150 

Stroh, Anton (with Swart, Johan) A Riesz theory in von Neumann algebras. 92¢:46063 

Swart, Johan see Stroh, Anton, 92c:46063 

Usmanov, Sh. M. (with Salikh, Yasin Abduldzhabbar) Equivalence in real von Neumann 
algebras. (Russian) 92k:46103 

Wagner, Bruce H. Classification of essential commutants of abelian von Neumann algebras. 
92h:46089 

Watanabe, Keiichi Finiteness of von Neumann algebras and noncommutative L?-spaces. 
92£:46072 

Wright, J.D. Maitland see Saité, Kazuyuki, 92i:46067 

Zsid6, Laészl6 see Halpern, Herbert; et al., 92b:46093 and 92b:46094 


Items with secondary classifications in 46L10 

Brown, Lawrence G. (with Kosaki, Hideki) Jensen’s inequality in semi-finite von Neumann 
algebras. 92g:46078 

Cecchini, Carlo (with Kiimmerer, Burkhard) Stochastic transitions on preduals of von 
Neumann algebras. 92b:46099 

— (with Petz, Dénes) A stochastic transition for von Neumann algebras. (Italian summary) 
92:46080 

Chilin, V.1. see Zakirov, B. S., 92g:47068 

Coaradie, Jurie (with Swart, Johan) A general duality result for precompact sets. 
92¢:46004 

Cowling, Michael Rigidity for lattices in semisimple Lie groups: von Neumann algebras and 
ergodic actions. 92g:22026 

Donald, Matthew J. Continuity and relative Hamiltonians. 92¢:46121 

Doplicher, Sergio Local observables, gauge symmetries and broken symmetries. 92j:81147 

Dorofeev, S. V. A problem of the boundedness of a signed measure defined on the projectors 
of a von Neumann algebra of type I. (Russian) 92m:46098 

— On the problem of boundedness of a signed measure on projections of a von Neumann 
algebra. 92m:46099 

Effros, Edward G. (with Ruan, Zhong-jin) Multivariable multipliers for groups and their 
operator algebras. 92c:43007 

Emch, Gérard G. Geometric quantization: regular representations and modular algebras. 
(see 92g:81003) 

Graham, Colin C. (with Lau, Anthony To Ming; Leinert, Michael) Continuity of translation 
in the dual of L(G) and related spaces. 924:43005 

Haagerup, Uffe (with Stormer, Erling) Pointwise inner automorphisms of von Neumann 
algebras. 92¢:46067 

Hensz, Ewa A method of operator estimation and a strong law of large numbers in von 
Neumann algebras. 924:46158 

Inoue, Atsushi Decomposition of *-homomorphisms of unbounded operator algebras. 
92k:47088 

Joita, Maria see Petrescu, Steliana, 92b:46107 

Kawakami, Satoshi Relative entropy of a fixed point algebra. 92h:46094 

Keller, Karsten On the projection lattice of a W*-algebra. 92k:46110 

Kosaki, Hideki Index theory for type III factors. 92f:46075 

— An inequality of Araki-Lieb-Thirring (von Neumann algebra case). 92g:46079 

— see also Brown, Lawrence G., 92g:46078 

Kiimmerer, Burkhard see Cecchini, Carlo, 92b:46099 

Lau, Anthony To Ming see Graham, Colin C.; et al., 92d:43005 

Leinert, Michael see Graham, Colin C.; et al., 92d:43005 

Linnell, P. A. Zero divisors and group von Neumann algebras. 92e:22013 

Maassen, Hans A discrete entropic uncertainty relation. 92b:46110 

Mayet, R. Orthosymmetric ortholattices. 92e:06023 

Miura, Yasuhide A certain factorization of self-dual cones associated with standard forms 
of injective factors. 92d:46161 

Orr, John Lindsay On the closure of triangular algebras. 92c:47053 

— Triangular algebras and ideals of nest algebras. 92c:47052 

Petrescu, Steliana (with Joita, Maria) Amenable actions of Katz algebras on von Neumann 
algebras. 92b:46107 

Petz, Dénes On certain properties of the relative entropy of states of operator algebras. 
92k:46112 

— see also Cecchini, Carlo, 92f:46080 

Pop, Florin Derivations of certain nest-subalgebras of von Neumann algebras. 92b:46108 

Quasthoff, Uwe On automorphisms of von Neumann algebras constructed by measure space 
transformations. I, II. 92k:46115 

Ruan, Zhong-jin see Effros, Edward G., 92c:43007 

Saito, Kichi-Suke On maximality of analytic subalgebras associated with flow in von 
Neumann algebras. 92i:46080 

— A remark on analytic subalgebras in von Neumann algebras. 92i:46081 

Solel, Baruch Isometries of CSL algebras. 92j:47082 

Stormer, Erling see Haagerup, Uffe, 92c:46067 

Sunder, V.S. Pairs of II, factors. 92b:46098 

— Il, factors, their bimodules and hypergroups. 92f:46076 

(Sutherland, Colin) see Haagerup, Uffe, 92c:46067 

Swart, Johan see Conradie, Jurie, 92g:46004 

Zakirov, B.S. (with Chilin, V.1I.) Abstract characterization of EW*-algebras. (Russian) 
92g:47068 

Zhang, Shuang Trivial K\-flow of AF algebras and finite von Neumann algebras. 92f:46086 


46L30 States 


Aarnes, Johan F. Quasi-states and quasi-measures. 92d:46152 

Archbold, Robert (with Lazar, Aldo J.; Tsui, Sze-Kai; Wright, Stephen James) Factor state 
extensions of type III. 92¢:46064 

Donald, Matthew J. Continuity and relative Hamiltonians. 92e:46121 

Kusuda, Masaharu A characterization of ideals of C*-algebras. 92g:46074 

— Unique state extension and hereditary C*-subalgebras. 92¢:46122 

— G-central states of almost periodic type on C*-algebras. 924:46153 

Lazar, Aldo J. see Archbold, Robert; et al., 92c:46064 


FUNCTIONAL ANALYSIS 1992 746 


Ogi, Hidekazu On KMS states for self-dual CCR algebras and Bogoliubov automorphism 
groups. 924:46154 

Stacey, P. J. A family of type III extensions of the trace on the Choi algebra. 92:46073 

Tanbay, Betiil Pure state extensions and compressibility of the /,-algebra. 92b:46096 

Teleman, Silviu Measure-theoretic properties of the central topology on the set of the 
factorial states of a C*-algebra. Central reduction. 92b:46097 

Tsui, Sze-Kai see Archbold, Robert; et al., 92c:46064 

Wright, Stephen James see Archbold, Robert; et al., 92c:46064 


Items with secondary classifications in 46L30 

Amann, Anton Invariant states of C*-systems without norm-continuity properties. 
92¢:46069 

Anantharaman-Delaroche, C. On completely positive maps defined by an irreducible 
correspondence. 92g:46073 

Bourgain, Jean (with Tzafriri, L.) On a problem of Kadison and Singer. 92j:46104 

Cecchini, Carlo Projections associated to von Neumann subalgebras in noncommutative 
probability. 92m:46097 

Haagerup, Uffe (with Stormer, Erling) Equivalence of normal states on von Neumann 
algebras and the flow of weights. 924:46150 

Jiang, Xin Hui see Li, Bing Ren; et al., 92h:46100 

Kadison, Richard V. Reflections relating a von Neumann algebra and its commutant. 
92m:46093 

Kusuda, Masaharu Extremal almost periodic states on C*-algebras. 92g:46082 

Li, Bing Ren (with Jiang, Xin Hui) The tracial state space of the GICAR algebra. (Chinese) 
92h:46100 

Stermer, Erling Equivalence of normal states of von Neumann algebras. 924:46151 

— see also Haagerup, Uffe, 924:46150 

Tzafriri, L. see Bourgain, Jean, 92j:46104 


46L35 Classifications of C*-algebras, factors 


Enomoto, Masatoshi The Powers’ binary shifts on the hyperfinite factor of type II,. 
92g:46075 

Giordano, Thierry (with de la Harpe, Pierre) Groupes de tresses et moyennabilité 
intérieure. [Braid groups and inner amenability] 92m:46094 

de la Harpe, Pierre see Giordano, Thierry, 92m:46094 

Jones, V. F.R. Notes on subfactors and statistical mechanics. (see 92i:57011) 

Kawahigashi, Yasuyuki One-parameter automorphism groups of the injective factor of type 
II, with Connes spectrum zero. 92f:46074 

Kosaki, Hideki Index theory for type III factors. 92f:46075 

Pimsner, M. (with Popa, Sorin) Finite-dimensional approximation of pairs of algebras and 
obstructions for the index. 92g:46076 

Popa, Sorin Some rigidity results in type II, factors. (French summary) 92¢:46123 

— see also Pimsner, M., 92g:46076 

Sunder, V.S. Pairs of II, factors. 92b:46098 

— II, factors, their bimodules and hypergroups. 92f:46076 

Takesaki, Masamichi The structure of the automorphism group of an AFD factor. 
92k:46104 

Voiculescu, Dan Circular and semicircular systems and free product factors. 92e:46124 

Wong, Robert S. Y. Finite invariant measures on flows. 92¢:46065 


Items with secondary classifications in 46L35 


Arias, Alvaro All the infinite nest algebras are isomorphic. 92h:47057 

Bédos, Erik A decomposition theorem for regular extensions of von Neumann algebras. 
92k:46105 

Carey, Alan L. (with Phillips, John) Algebras almost commuting with Clifford algebras in a 
II, factor. 92m:46107 

Choda, Marie On sequences of Jones’ projections. 92i:46068 

Dlab, Viastimil (with Ringel, Claus Michael) Towers of semi-simple algebras. 92j:16013 

Goodearl, Kenneth R. Extensions of dimension groups and AF C*-algebras. 92c:46076 

Inoue, Atsushi Extension of unbounded left Hilbert algebras to partial +-algebras. 
92b:47072 

Kadison, Richard V. Reflections relating a von Neumann algebra and its commutant. 
92m:46093 

Kishimoto, Akitaka Actions of finite groups on certain inductive limit C*-algebras. 
924:46166 

Matveichuk, M.S. An indefinite measure in J-spaces. (Russian. Ukrainian summary) 
924d:46160 

Miura, Yasuhide A certain factorization of self-dual cones associated with standard forms 
of injective factors. 92d:46161 

Murray, F. J. The rings of operators papers. 92¢:01036 

Orr, John Lindsay On the closure of triangular algebras. 92¢:47053 

Phillips, John K-theory relative to a semifinite factor. 92a:46085 

— see also Carey, Alan L., 92m:46107 

Pop, Florin Derivations of certain nest-subalgebras of von Neumann algebras. 92b:46108 

Ringel, Claus Michael see Diab, Viastimil, 92j:16013 

Salikh, Yasin Abduldzhabbar see Usmanov, Sh. M., 92k:46103 

Torok, Andrei AF-algebras with unique trace. 92j:46109 

Usmanov, Sh. M. (with Salikh, Yasin Abduldzhabbar) Equivalence in real von Neumann 
algebras. (Russian) 92k:46103 

Wagner, Bruce H. Classification of essential commutants of abelian von Neumann algebras. 
92h:46089 

Watanabe, Keiichi Shifts with two generators on the hyperfinite II,-factor. 92a:46071 

Yin, Hong Sheng Entropy of certain noncommutative shifts. 92a:46079 


46L37 Subfactors and their classification 


Choda, Marie On sequences of Jones’ projections. 92i:46068 
Sunder, V.S. On commuting squares and subfactors. 92j:46111 





747 1992 


Items with secondary classifications in 46L37 

Havet, Jean-Francois Espérance conditionnelle minimale. [Minimal conditional expecta- 
tion] 92a:46073 

Yasuyuki Cohomology of actions of discrete groups on factors of type II,. 

924:46165 

Wassermann, Antony Coactions and Yang-Baxter equations for ergodic actions and 
subfactors. 924:46167 

Wenzl, Hans Quantum groups and subfactors of type B, C, and D. 92k:17032 


46L40 Automorphisms 


Chien, Mao Ting Automorphism groups of C*-algebra bundles. 924:46155 

Conrad, Joseph F. Transpositions of UHF algebras. 92c:46066 

Haagerup, Uffe (with Stormer, Erling) Pointwise inner automorphisms of von Neumann 
algebras. 92c:46067 

Kodaka, Kazunori A diffeomorphism of an irrational rotation C*-algebra by a nongeneric 
rotation. 92f:46077 

Lamoureux, Michael P. Analytic isomorphisms of transformation group C*-algebras. 
92£:46078 

Stacey, P. J. Stability of involutory +-antiautomorphisms in UHF algebras. 92g:46077 

— Product shifts on B(H). 92¢:46068 

Stavrakas, G. A. On primitive ideal spaces. Automorphisms and derivations of topological 
algebras. 92m:46095 

Stormer, Erling (with Voiculescu, Dan) Entropy of Bogoliubov automorphisms of the 
canonical anticommutation relations. 92e:46125 

— The spatial form of antiautomorphisms of von Neumann algebras. 92:46079 

— see also Haagerup, Uffe, 92c:46067 

(Sutherland, Colin) see Haagerup, Uffe, 92c:46067 

Voiculescu, Dan see Stormer, Erling, 92e:46125 

Watanabe, Keiichi Shifts with two generators on the hyperfinite II,-factor. 92a:46071 


Items with secondary classifications in 46L40 

Arveson, William The spectral C*-algebra of an Eo-semigroup. 92c:46074 

Borchers, H.-J. Translation group and modular automorphisms for local regions. 
924:81079 

Choda, Hisashi A Galois type theorem in von Neumann algebras. 92i:46075 

Choda, Marie see Enomoto, Masatoshi; et al., 92d:46164 

Dadarlat, M. (with Pasnicu, Cornel) On certain automorphisms of reduced crossed 
products with discrete groups. 92a:46077 

Masatoshi (with Choda, Marie; Watatani, Yasuo) Uncountably many nonbinary 

shifts on the hyperfinite II,-factor. 92d:46164 

Haagerup, Uffe (with Stormer, Erling) Equivalence of normal states on von Neumann 
algebras and the flow of weights. 92d:46150 

Jo, Young Soo Factorization of automorphisms on tensor product of algebras. II. 92i:47046 

Kawahigashi, Yasuyuki Centrally ergodic one-parameter automorphism groups on 
semifinite injective von Neumann algebras. 92c:46071 

— One-parameter automorphism groups of the injective factor of type II, with Connes 
spectrum zero. 92f:46074 

— Cohomology of actions of discrete groups on factors of type II,. 92d:46165 

Kishimoto, Akitaka Automorphism groups and covariant irreducible representations. 
92i:46077 

Kodaka, Kazunori Approximately inner +-derivations of irrational rotation C*-algebras. 
922:46080 

Pasnicu, Cornel see Dadarlat, M., 92a:46077 

Pedersen, Steen The product of two (unbounded) derivations. 92a:46081 

Petronio, Carlo Holomorphic automorphisms of the unit ball of a direct sum. (Italian 
summary) 92¢:46100 

Powers, Robert T. On the structure of continuous spatial semigroups of *-endomorphisms of 
B(H). 92k:46114 

Stermer, Erling see Haagerup, Uffe, 92d:46150 

Takesaki, Masamichi The structure of the automorphism group of an AFD factor. 
92k:46104 

Watatani, Yasuo see Enomoto, Masatoshi; et al., 92d:46164 


46L45 Decomposition theory for C*-algebras 

Bédos, Erik A decomposition theorem for regular extensions of von Neumann algebras. 
92k:46105 

Masuda, Tetsuya (with Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; 
Ueno, Kimio) Representation of quantum groups. 924:46156 

Katsuhisa see Masuda, Tetsuya; et al., 92d:46156 

Nakagami, Yoshiomi see Masuda, Tetsuya; et al., 924:46156 

Noumi, Masatoshi see Masuda, Tetsuya; et al., 92d:46156 

Ueno, Kimio see Masuda, Tetsuya; et al., 92d:46156 


Items with secondary classifications in 46L45 

Beggs, Edwin J. (with Evans, David E.) Real rank zero families of C*-algebras. 924:46144 

Evans, David E. see Beggs, Edwin J., 92d:46144 

Kishimoto, Akitaka Actions of finite groups on certain inductive limit C*-algebras. 
924:46166 

Nishimura, Hirokazu Some connections between Boolean valued analysis and topological 
reduction theory for C*-algebras. 922:46066 

Teleman, Silviu Measure-theoretic properties of the central topology on the set of the 
factorial states of a C*-algebra. Central reduction. 92b:46097 


46L50 Noncommutative measure, integration and probability 


Applebaum, David Quantum diffusions on involutive algebras. 92d:46157 
— Brownian motion on SO(3) factorises in Fock space. 92i:46069 
Bikchentaev, A. I. Noncommutative functional spaces. II. (Russian) (see 92g:47002) 


46L Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) 


46L50 


Bikchentaev, A.M. Noncommutative functional spaces. (Russian) (see 92g:47001) 

Bozejko, Marek (with Speicher, Roland) An example of a generalized Brownian motion. 
92m:46096 

Brown, Lawrence G. (with Kosaki, Hideki) Jensen’s inequality in semi-finite von Neumann 
algebras. 92g:46078 

Bunce, L. J. (with Wright, J.D. Maitland) The Mackey-Gleason problem. 92i:46070 

Cecchini, Carlo (with Petz, Dénes) On the fixed point algebras for g-conditional expecta- 
tions in von Neumann algebras. 92i:46071 

— (with Kiimmerer, Burkhard) Stochastic transitions on preduals of von Neumann 
algebras. 92b:46099 

— Projections associated to von Neumann subalgebras in noncommutative probability. 
92m:46097 

— (with Petz, Dénes) A stochastic transition for von Neumann algebras. (Italian summary) 
92:46080 

Chilin, V.1. see Sukochev, F. A., 92a:46075; 92e:46129 and 92g:46081 

Dorofeev, S. V. On the boundedness of a charge given on projectors of a von Neumann 
algebra of type II. (Russian) 92b:46100 

— The solution to a problem posed by V. Palko. 92k:46106 

— On boundedness of a signed measure on projections of a von Neumann algebra of type III. 
92k:46107 

— (with Sherstnev, A. N.) Functions of frame type and their applications. (Russian) 
92¢:46126 

— A problem of the boundedness of a signed measure defined on the projectors of a von 
Neumann algebra of type I. (Russian) 92m:46098 

— On the problem of boundedness of a signed measure on projections of a von Neumann 
algebra. 92m:46099 

Dvuretenskij, Anatolij Solution to a regularity problem. 92f:46081 

Evans, M. P. (with Hudson, R. L.) Perturbations of quantum diffusions. 92a:46072 

Fagnola, Franco Quantum stochastic calculus and a boson Levy theorem. 92b:46101 

Goldstein, Stanislaw Conditional expectation and stochastic integrals in noncommutative 
L? spaces. 92k:46108 

Hamhalter, Jan Orthogonal vector measures on projection lattices in a Hilbert space. 
92b:46102 

— Additivity of vector Gleason measures. 92k:46109 

Havet, Jean-Francois Espérance conditionnelle minimale. [Minimal conditional expecta- 
tion] 92a:46073 

Hegerfeldt, Gerhard C. Noncommutative version of the central limit theorem and of 
Cramér’s theorem. 92b:46103 

Hensz, Ewa The Hajek-Rényi type inequality for tracial states in a von Neumann algebra. 
92h:46090 

— Strong laws of large numbers for nearly orthogonal sequences of operators in von 
Neumann algebras. 92i:46072 

— A method of operator estimation and a strong law of large numbers in von Neumann 
algebras. 924:46158 

Hudson, R. L. see Evans, M. P., 92a:46072 

Jajte, Ryszard Almost sure convergence of iterates of contractions in noncommutative L>- 
spaces. 92¢e:46127 

— * Strong limit theorems in noncommutative L-spaces. 92h:46091 

Keller, Karsten On the projection lattice of a W*-algebra. 92k:46110 

Kosaki, Hideki An inequality of Araki-Lieb-Thirring (von Neumann algebra case). 
92g:46079 

— see also Brown, Lawrence G., 92g:46078 

Kiimmerer, Burkhard see Cecchini, Carlo, 92b:46099 

Kunze, Wolfgang Noncommutative Orlicz spaces and generalized Arens algebras. 
92h:46092 

Leinert, Michael Integration with respect to a weight. 92d:46159 

Lindsay, J. M. (with Parthasarathy, Kalyanapuram Rangachari) Rigidity of the Poisson 
convolution. 92f:46082 

— (with Maassen, Hans) Duality transform as +-algebraic isomorphism. 92g:46080 

Maassen, Hans see Lindsay, J. M., 92g:46080 

Maeda, Shiichir6é Probability measures on projections in von Neumann algebras. 
92m:46100 

Matveichuk, M.S. Jordan decomposition of 
92b:46104 

— An indefinite measure in J-spaces. (Russian. Ukrainian summary) 924:46160 

— The structure of measures on the logic of skew projectors. III. (Russian) 92j:46112 

Miura, Yasuhide A certain factorization of self-dual cones associated with standard forms 
of injective factors. 92d:46161 

Neuhardt, Erwin Kernel operators on L’-spaces associated with semifinite von Neumann 
algebras. 92k:46111 

Parthasarathy, Kalyanapuram Rangachari (with Sinha, K. B.) Markov chains as Evans- 
Hudson diffusions in Fock space. 92a:46074 

— see also Lindsay, J. M., 92f:46082 

Paszkiewicz, Adam The topology of the convergence in probability in a W*-algebra is 
normal. 92¢:46128 

Petz, Dénes First steps towards a Donsker and Varadhan theory in operator algebras. 
92f:46083 

— On certain properties of the relative entropy of states of operator algebras. 92k:46112 

— see also Cecchini, Carlo, 92f:46080 and 92i:46071 

Pulmannovd, Sylvia Quantum conditional probability spaces. 92m:46101 

Sauvageot, Jean-Luc Le probléme de Dirichlet dans les C*-algébres. (English summary) 
[The Dirichlet problem in C*-algebras] 92j:46113 

Schindler, Christian Representations of state space transformations by Markov kernels. 
92i:46073 

Schiirmann, Michael Quantum stochastic processes with independent additive increments. 
92k:46113 

Seo, Yaki A new relative entropy for von Neumann algebras. 924:46162 

Sherstnev, A. N. see Dorofeev, S. V., 92e:46126 

Sinha, K. B. see Parthasarathy, Kalyanapuram Rangachari, 92a:46074 

Speicher, Roland see Bozejko, Marek, 92m:46096 





on proj 's of J-spaces. (Russian) 





46L50 


Sukochev, F. A. (with Chilin, V. I.) Symmetric spaces over semifinite von Neumann 
algebras. (Russian) 92a:46075 

— (with Chilin, V.I.) A convergence criterion in regular noncommutative symmetric spaces. 
(Russian. Uzbek summary) 92¢e:46129 

— (with Chilin, V. I.) Convergence in measure in regular noncommutative symmetric 
spaces. (Russian) 92g:46081 

Tikhonov, O. E. Banach spaces associated with a state space, and the information function. 
(Russian) 92a:46076 

Voiculescu, Dan Noncommutative random variables and spectral problems in free product 
C*-algebras. 92f:46084 

— Limit laws for random matrices and free products. 92d:46163 

Wright, J. D. Maitland see Bunce, L. J., 92i:46070 

Xu, Quan Hua Radon-Nikodym property in symmetric spaces of measurable operators. 
92i:46074 


Items with secondary classifications in 46L50 

Abdullaev, R. Z. see Ayupov, Sh. A., 92g:46062 

Accardi, Luigi (with Journé, Jean-Lin; Lindsay, J. M.) On multi-dimensional Markovian 
cocycles. 92a:81086 

— (with Hudson, R. L.) Quantum stochastic flows and nonabelian cohomology. 92k:81085 

Arazy, Jonathan (with Friedman, Yaakov) Contractive projections in Cp. 92f:47033 

Arzamanyan, V. A. (with Grigoryan, Souren Arshakovich) Noncommutative uniform 
algebras. 92d:46143 

Ayupov, Sh. A. (with Abdullaev, R. Z.) Isometries of Lp-spaces constructed on semifinite 
JBW-algebras. (Russian) 92g:46062 

Barchielli, Alberto Some Markov semigroups in quantum probability. 92d:81016 

Barnett, Chris (with Wilde, Ivan F.) Random times and time projections. 92a:81087 

— (with Wilde, Ivan F.) Quantum stopping-times. (see 92i:81011) 

Belavkin, V. P. A quantum stochastic calculus in Fock space of input and output nondemo- 
lition processes. 92¢e:81112 

— A quantum nonadapted Ité formula and stochastic analysis in Fock scale. 92m:81120 

Bunce, L. J. (with Chu, Cho-Ho) Dual spaces of JB*-triples and the Radon-Nikodym 
property. 92j:46122 

Chentsov, N. N. see Morozova, E. A., 92j:51034 

Chu, Cho-Ho (with lochum, Bruno) The Dunford-Pettis property in C*-algebras. 
92b:46091 

— see also Bunce, L. J., 92j:46122 

Dermoune, A. Application du calcul symbolique au calcul de la loi de certains processus. 
[Application of symbolic calculus to the computation of the distribution of certain 
processes] 92g:46094 

Dvuretenskij, Anatolij Finitely additive Gleason measures. 92h:81020 

Friedman, Yaakov see Arazy, Jonathan, 92f:47033 

Frohlich, Jirg Quantum statistics and locality. 92f:81083 

Goderis, D. (with Verbeure, A.; Vets, P.) Quantum central limit and coarse graining. 
92h:82015 

Grigoryan, Souren Arshakovich see Arzumanyan, V. A., 92d:46143 

Gudder, Stanley Quantum stochastic processes. 92a:81091 

Hamhalter, Jan Orthogonal vector measures. (see 92b:00045) 

Hudson, R. L. (with Robinson, Paul) Quantum diffusions on the noncommutative torus 
and solid state physics. 92j:81120 

— (with Shepperson, P.) Stochastic dilations of quantum dynamical semigroups using one- 
dimensional quantum stochastic calculus. 92a:81092 

— see also Accardi, Luigi, 92k:81085 

Tochum, Bruno see Chu, Cho-Ho, 92b:46091 

Journé, Jean-Lin see Accardi, Luigi; et al., 92a:81086 

Kupsch, J. Functional integration for Euclidean Fermi fields. (see 92i:81006) 

Kusuda, Masaharu G-central states of almost periodic type on C*-algebras. 92d:46153 

Lindsay, J. M. see Accardi, Luigi; et al., 92a:81086 

Matveichuk, M.S. The Gleason and Jordan theorems on hyperbolic quantum logics. 
92i:81024 

— Measures on the quantum logic of subspaces of a J-space. (Russian) 92j:46137 

Morozova, E. A. (with Chentsov, N. N.) Projective Euclidean geometry and noncommuta- 
tive probability theory. (Russian) 92j:51034 

Nachtergaele, Bruno Working with quantum Markov states and their classical analogues. 
92h:82019 

Robinson, Paul see Hudson, R. L., 92j:81120 

Saito, Kichi-Suke On maximality of analytic subalgebras associated with flow in von 
Neumann algebras. 92i:46080 

— A remark on analytic subalgebras in von Neumann algebras. 92i:46081 

Schiirmann, Michael Gaussian states on bialgebras. 92g:46069 

Shepperson, P. see Hudson, R. L., 92a:81092 

Speicher, Roland Survey on the stochastic integration on the full Fock space. (see 92i:81011) 

Tikhonov, O. E. Spectral theory for base-norm spaces with a trace. 92i:47041 

Verbeure, A. see Goderis, D.; et al., 92h:82015 

Vets, P. see Goderis, D.; et al., 92h:82015 

Vincent-Smith, G. F. Quantum stochastic evolutions with unbounded generators. (see 
92i:81011) 

— Unitary quantum stochastic evolutions. 92k:46118 

Watanabe, Keiichi Finiteness of von Neumann algebras and noncommutative L?-spaces. 
92:46072 

Wilde, Ivan F. see Barnett, Chris, 92a:81087 and (92i:81011) 

Xu, Quan Hua Analytic functions with values in lattices and symmetric spaces of measur- 
able operators. 92g:46036 


46L55 Noncommutative dynamical systems [see also 28Dxx, 
54H20, 58Fxx] 


Amann, Anton Invariant states of C*-systems without norm-continuity properties. 
92c:46069 


— Perturbation theory of C*-systems without norm-continuity properties. 92m:46102 


FUNCTIONAL ANALYSIS 


1992 748 


Anantharaman-Delaroche, C. A cohomological characterization of amenable actions. 
92j:46114 

Bédos, Erik Discrete groups and simple C*-algebras. 92j:46115 

Benatti, F. (with Narnhofer, Heide) Strong asymptotic abelianness for entropic K-systems. 
92c:46070 

— (with Narnhofer, Heide; Sewell, Geoffrey L.) A noncommutative version of the Arnol’d 
cat map. 92m:46103a 

— (with Narnhofer, Heide; Sewell, Geoffrey L.) Errata: “A noncommutative version of the 
Arnol’d cat map”. 92m:46103b 

Borchers, H.-J. The CPT-theorem in two-dimensional theories of local observables. 
92m:46104 

Choda, Hisashi A Galois type theorem in von Neumann algebras. 92i:46075 

Choda, Marie see Enomoto, Masatoshi; et al., 92d:46164 

Dadarlat, M. (with Pasnicu, Cornel) On certain automorphisms of reduced crossed 
products with discrete groups. 92a:46077 

Echterhoff, Siegfried Erratum to: “On induced covariant systems” [Proc. Amer. Math. Soc. 
108 (1990), no. 3, 703-706; MR 90f:46105]. 92m:46105 

Enomoto, Masatoshi (with Choda, Marie; Watatani, Yasuo) Uncountably many nonbinary 
shifts on the hyperfinite II,-factor. 92d:46164 

— (with Nagisa, Masaru; Watatani, Yasuo; Yoshida, Hiroaki) Relative commutant algebras 
of Powers’ binary shifts on the hyperfinite II, factor. 92j:46116 

Evans, David E. (with Kishimoto, Akitaka) Compact group actions on UHF algebras 
obtained by folding the interval. 92h:46093 

Farsi, Carla (with Watling, Neil A.) Fixed point subalgebras of the rotation algebra. 
92j:46117a 

— (with Watling, Neil A.) Corrigendum: “Fixed point subalgebras of the rotation algebra”. 
92j:46117b 

Gootman, Elliot C. (with Lazar, Aldo J.) Compact group actions on C*-algebras: an 
application of noncommutative duality. 92e:46130 

Joita, Maria see Petrescu, Steliana, 92b:46107 

Kawahigashi, Yasuyuki Centrally ergodic one-parameter automorphism groups on 
semifinite injective von Neumann algebras. 92c:46071 

— Cohomology of actions of discrete groups on factors of type II. 92d:46165 

Kawakami, Satoshi Relative entropy of a fixed point algebra. 92h:46094 

Kawamura, Shinz6é (with Tomiyama, Jun) Properties of topological dynamical systems and 
corresponding C*-algebras. 92e:46131 

— Topological dynamical systems and corresponding C*-algebras. (see 92m:58003) 

Kishimoto, Akitaka Automorphism groups and covariant irreducible representations. 
92i:46077 

— Actions of finite groups on certain inductive limit C*-algebras. 924:46166 

— A weak approximate innerness for abelian actions on C*-algebras. 92i:46076 

— see also Evans, David E., 92h:46093 

Kusuda, Masaharu Central fixed point algebras of C*-algebras. 92¢:46072 

— Extremal almost periodic states on C*-algebras. 92g:46082 

Lazar, Aldo J. see Gootman, Elliot C., 92e:46130 

Majewski, Wiadysiaw A. Return to equilibrium and stability of dynamics (semigroup 
dynamics case). 92f:46085 

Malyshev, V. A. Equivalences of C*-dynamical systems. 92¢:46132 

Manita, A. D. Properties of translation-invariant quantum-dynamical semigroups. 
(Russian. English summary) 92j:46118 

Mansfield, Kevin Induced representations of crossed products by coactions. 92h:46095 

Murphy, Gerard J. Ordered groups and crossed products of C*-algebras. 92j:46119 

Nagisa, Masaru see Enomoto, Masatoshi; et al., 92j:46116 

Narnhofer, Heide see Benatti, F., 92c:46070; 92m:46103a and 92m:46103b 

Oka, Yukimasa A note on ergodic states on C*-dynamics. 92h:46096 

Olesen, Dorte (with Raeburn, Iain) Pointwise unitary automorphism groups. 92b:46105 

Packer, Judith A. (with Raeburn, Iain) Twisted crossed products of C*-algebras. II. 
92b:46106 

Pasnicu, Cornel see Dadarlat, M., 92a:46077 

Paterson, Alan L. T. Invariant mean characterizations of amenable C*-algebras. 92m:46106 

Peligrad, Costel Crossed product C*-algebras by compact group actions vs. fixed point 
algebras. 92¢:46133 

— Compact actions commuting with ergodic actions and applications to crossed products. 
92h:46097 

Petrescu, Steliana (with Joita, Maria) Amenable actions of Katz algebras on von Neumann 
algebras. 92b:46107 

Powers, Robert T. On the structure of continuous spatial semigroups of +-endomorphisms of 
8(5). 92k:46114 

Price, Geoffrey Shifts on certain operator algebras. 92h:46098 

— The C*-algebras generated by pairs of semigroups of isometries satisfying certain 
commutation relations. 92i:46078 

Putnam, Ian F. The invertible elements are dense in the irrational rotation C*-algebras. 
92a:46078 

Quasthoff, Uwe On automorphisms of von Neumann algebras constructed by measure space 
transformations. I, II. 92k:46115 

Raeburn, Iain see Olesen, Dorte, 92b:46105 and Packer, Judith A., 92b:46106 

Rieffel, Marc A. Proper actions of groups on C*-algebras. 92i:46079 

Saito, Kichi-Suke On maximality of analytic subalgebras associated with flow in von 
Neumann algebras. 92i:46080 

— A remark on analytic subalgebras in von Neumann algebras. 92i:46081 

— Toeplitz operators associated with analytic crossed products. II. Invariant subspaces and 
factorization. 92¢:46134 

Sewell, Geoffrey L. see Benatti, F.; et al., 92m:46103a and 92m:46103b 

Spielberg, John Free-product groups, Cuntz-Krieger algebras, and covariant maps. 
92j:46120 

Takesaki, Masamichi Cocycle conjugacy of group actions on factors. 92¢:46073 

Tomiyama, Jun see Kawamura, Shinzé, 92e:46131 

Wassermann, Antony Coactions and Yang-Baxter equations for ergodic actions and 
subfactors. 92d:46167 





749 1992 


— Ergodic actions of compact groups on operator algebras. II. Classification of full 
multiplicity ergodic actions. 92d:46168 

Watatani, Yasuo see Enomoto, Masatoshi; et al., 92d:46164 and 92j:46116 

Watling, Neil A. see Farsi, Carla, 92j:46117a and 92j:46117b 

Yamanouchi, Takehiko Duality for actions and coactions of measured groupoids on von 
Neumann algebras. (see 92d:00034) 

Yin, Hong Sheng Entropy of certain noncommutative shifts. 92a:46079 

Yoshida, Hiroaki see Enomoto, Masatoshi; et al., 92j:46116 

Zhang, Shuang Trivial K,-flow of AF algebras and finite von Neumann algebras. 92f:46086 


Items with secondary classifications in 46L55 

Accardi, Luigi (with Frigerio, Alberto; Lu, Yun Gang) The weak coupling limit for 
fermions. 92m:81118 

Cowling, Michael Rigidity for lattices in semisimple Lie groups: von Neumann algebras and 
ergodic actions. 92g:22026 

Curto, Rail E. (with Muhly, Paul S.; Xia, Jingbo) Random Toeplitz operators. 92b:47033 

— (with Muhly, Paul S.; Xia, Jingbo) Toeplitz operators on flows. 92b:47032 

Enomoto, Masatoshi (with Watatani, Yasuo) Reduced group C*-algebras with the metric 
approximation property by N-positive maps. 92j:46105 

Frigerio, Alberto see Accardi, Luigi; et al., 92m:81118 

Haagerup, Uffe (with Stormer, Erling) Equivalence of normal states on von Neumann 
algebras and the flow of weights. 92d:46150 

Hudetz, Thomas Nonlinear entropy functionals and a characteristic invariant of symmetry 
group actions on infinite quantum systems. 92g:82011 

Hudson, R. L. (with Shepperson, P.) Stochastic dilations of quantum dynamical semi- 
groups using one-dimensional quantum stochastic calculus. 92a:81092 

Jorgensen, Palle E.T. Representations of symplectic vector spaces obtained as unitary 
dilations. 92m:17019 

Kusuda, Masaharu Unique state extension and hereditary C*-subalgebras. 92e:46122 

— G-central states of almost periodic type on C*-algebras. 92d:46153 

Lamoureux, Michael P. Analytic isomorphisms of transformation group C*-algebras. 
92£:46078 

Latushkin, Yu. D. (with Stépin, A.M.) Weighted shift operators, the spectral theory of 
linear extensions and a multiplicative ergodic theorem. (Russian) 92d:47046 

— (with Stépin, A.M.) Weighted shift operators and linear extensions of dynamical 
systems. (Russian) 92k:47062 

Lé Anh Vii On the foliations formed by the generic K-orbits of the MD4-groups. 92f:46088 

Lu, Yun Gang see Accardi, Luigi; et al., 92m:81118 

Majewski, Wiadyslaw A. On the entropic properties of quantum dynamical systems. 
92m:82081 

Majid, Shahn Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, 
and the classical Yang-Baxter equations. 92b:46088 

Martin, Mircea Projective representations of compact groups in C*-algebras. 92f:46066 

Muhly, Paul S. see Curto, Raul E.; et al., 92b:47032 and 92b:47033 

Narnhofer, Heide The concept of K-automorphisms in quantum field theory and the Jones 
index. 92m:81146 

Pandian, R. D. Semigroup compactifications by generalized distal functions and a fixed 
point theorem. 92j:54057 

Pavone, Marco On the geodesic distance and group actions on trees. 92g:22013 

Raeburn, Iain (with Williams, Dana P.) Moore cohomology, principal bundles, and actions 
of groups on C*-algebras. 92j:46125 

Rieffel, Marc A. Lie group convolution algebras as deformation quantizations of linear 
Poisson structures. 92b:58076 

Robinson, Paul Quantum diffusions on the rotation algebras and the quantum Hall effect. 
92a:81094 

Schmidt, Klaus D. * Algebraic ideas in ergodic theory. 92k:28029 

Shepperson, P. see Hudson, R. L., 92a:81092 

Spera, Mauro A noncommutative geometric reinterpretation of the canonical commutation 
relations. (Italian summary) 92¢:46086 

Stacey, P. J. Product shifts on B(H). 92c:46068 

Stépin, A. M. see Latushkin, Yu. D., 92d:47046 and 92k:47062 

Stormer, Erling (with Voiculescu, Dan) Entropy of Bogoliubov automorphisms of the 
canonical anticommutation relations. 92¢:46125 

— see also Haagerup, Uffe, 924:46150 

Sunder, V.S. II, factors, their bimodules and hypergroups. 92f:46076 

Teleman, Silviu Measure-theoretic properties of the central topology on the set of the 
factorial states of a C*-algebra. Central reduction. 92b:46097 

Ventura, Belisario A. A characterization of UHF C*-algebras. 92a:46086 

Voiculescu, Dan see Stormer, Erling, 92e:46125 

Watanabe, Keiichi Shifts with two generators on the hyperfinite II,-factor. 92a:46071 

Watatani, Yasuo see Enomoto, Masatoshi, 92j:46105 

Williams, Dana P. see Raeburn, Iain, 92j:46125 

Wong, Robert S. Y. Finite invariant measures on flows. 92c:46065 

Xia, Jingbo see Curto, Raul E.; et al., 92b:47032 and 92b:47033 

Yamagami, Shigeru On primitive ideal spaces of C*-algebras over certain locally compact 
groupoids. 92j:46110 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Schmidt, Klaus D., 92k:28029 


46L57 Derivations, dissipations and positive semigroups in C*- 
algebras 


Arveson, William The spectral C*-algebra of an Eo-semigroup. 92¢:46074 

— C*-algebras associated with sets of semigroups of isometries. 92i:46082 

Friedland, Shmuel Characterizations of spectral radius of positive operators on C* algebras. 
92g:46083 

Kissin, Edward V. Dissipative implementations of *-derivations of C*-algebras and 
representations in indefinite metric spaces. 92j:4612i 


46L Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) 


46L60 


Kodaka, Kazunori Approximately inner +-derivations of irrational rotation C*-algebras. 
92a:46080 

Kurose, Hideki Derivations in commutative C*-algebras. 92f:46087 

Pedersen, Steen The product of two (unbounded) derivations. 92a:46081 

Pop, Florin Derivations of certain nest-subalgebras of von Neumann algebras. 92b:46108 

Sakai, Shéichiré * Operator algebras in dynamical systems. 92h:46099 


Items with secondary classifications in 46L57 


Arazy, Jonathan (with Barton, Thomas Joseph; Friedman, Yaakov) Addendum: “Operator 
differentiable functions” [Integral Equations Operator Theory 13 (1990), no. 4, 462-487; 
MR 91d:47012]. 92g:47021 

Barchielli, Alberto Some Markov semigroups in quantum probability. 92d:81016 

Barton, Thomas Joseph see Arazy, Jonathan; et al., 92g:47021 

Bhat, B. V. Rajarama On a characterization of velocity maps in the space of observables. 
92k:46099 

BreSar, Matej On the distance of the composition of two derivations to the generalized 
derivations. 92b:46071 

Duffield, N. G. Local correlation functions for mean-field dynamical semigroups on C*- 
algebras. 92k:82039 

Duggal, B. P. A remark on normal derivations of Hilbert-Schmidt type. 92m:47067 

Friedman, Yaakov see Arazy, Jonathan; et al., 92g:47021 

Hudson, R. L. (with Shepperson, P.) Stochastic dilations of quantum dynamical semi- 
groups using one-dimensional quantum stochastic calculus. 92a:81092 

Semrl, Peter Quadratic functionals and Jordan +-derivations. 92d:46139 

Shepperson, P. see Hudson, R. L., 92a:81092 

Tong, Yu Sun Kernels of generalized derivations. 92f:47032 





46L60 Applications of selfadjoint operator algebras to physics 
[see also 46N50, 46N55, 47D45, 81T05, 82B10, 82C10] 


Aizenshtadt, V. V. (with Botvich, D. D.; Malyshev, V. A.) Bounded perturbations of the 
free dynamics of quantum systems. (Russian) 92b:46109 

Botvich, D. D. see Aizenshtadt, V. V.; et al., 92b:46109 

Fidaleo, Francesco On the product vectors for the canonical commutation relations. (Italian 
summary) 92k:46116 

Kastler, Daniel (with Mebkhout, M.) Revisiting the Mackey-Stone-von Neumann theorem: 
the C*-algebra of a presymplectic space. 92k:46117 

Maassen, Hans A discrete entropic uncertainty relation. 92b:46110 

Malyshev, V. A. see Aizenshtadt, V. V.; et al., 92b:46109 

Mebkhout, M. see Kastler, Daniel, 92k:46117 

Vincent-Smith, G. F. Unitary quantum stochastic evolutions. 92k:46118 

Wiesbrock, Hans-Werner The C*-algebra of bosonic strings. 92i:46083 


Items with secondary classifications in 46L60 

Accardi, Luigi (with Journé, Jean-Lin; Lindsay, J. M.) On multi-dimensional Markovian 
cocycles. 92a:81086 

— (with Frigerio, Alberto; Lu, Yun Gang) Quantum Langevin equation in the weak coupling 
limit. 92f:81067 

— (with Lu, Yun Gang) On the low density limit of boson models. 92£:82035 

— (with Lu, Yun Gang; Alicki, R.; Frigerio, Alberto) An invitation to the weak coupling and 
low density limits. (see 92i:81011) 

— (with Lu, Yun Gang) The number process as low density limit of Hamiltonian models. 
92i:81144 

Albeverio, Sergio (with Iwata, Koichiro; Kolsrud, T.) Random fields as solutions of the 
inhomogeneous quaternionic Cauchy-Riemann equation. I. Invariance and analytic 
continuation. 92a:81105 

Alicki, R. see Accardi, Luigi; et al., (92i:81011) 

Amann, Anton Ground states of a spin-boson model. 92k:82005 

— Perturbation theory of C*-systems without norm-continuity properties. 92m:46102 

Applebaum, David Quantum diffusions on involutive algebras. 92d:46157 

Araki, Huzihiro Some of the legacy of John von Neumann in physics: theory of measure- 
ment, quantum logic, and von Neumann algebras in physics. 92b:01035 

Artem/ev, A. Yu. Quantum beats of light polarization and the complete positivity condition. 
(Russian. English summary) 92m:81316 

Bagarello, F. (with Trapani, Camillo) “Almost” mean-field Ising model: an algebraic 
approach. 92m:82016 

Barnett, Chris (with Wilde, Ivan F.) Random times and time projections. 92a:81087 

— (with Wilde, Ivan F.) Quantum stopping-times. (see 92i:81011) 

Belavkin, V. P. Multiquantum systems and point processes. I. Generating functionals and 
nonlinear semigroups. 92d:82005 

— A quantum stochastic calculus in Fock space of input and output nondemolition 
processes. 92e:81112 

— A quantum nonadapted Ité formula and stochastic analysis in Fock scale. 92m:81120 

Béllissard, Jean Almost periodicity in solid state physics and C* algebras. 92i:81051 

Benatti, F. (with Narnhofer, Heide) Strong asymptotic abelianness for entropic K-systems. 
92c:46070 

Béna, Pavel On symmetries of quantum mean-field theories. (see 92b:81009) 

Borchers, H.-J. Translation group and modular automorphisms for local regions. 
92d:81079 

— (with Wollenberg, M.) On the relation between types of local algebras in different global 
representations. 92h:81083 

— The CPT-theorem in two-dimensional theories of local observables. 92m:46104 

Botvich, D. D. (with Malyshev, V. A.) Asymptotic completeness and all that for an infinite 
number of fermions. 92j:82041 

Boutet de Monvel-Berthier, Anne-Marie (with Georgescu, Vladimir) Graded C*-algebras 
and many-body perturbation theory. I. The N-body problem. (French summary) 
92m:81044 

— (with Georgescu, Vladimir) Graded C*-algebras in the N-body problem. 92m:46085 

Buchholz, Detlev (with Schulz-Mirbach, Hanns) Haag duality in conformal quantum field 
theory. 92a:81106 





46L60 


— (with Yngvason, Jakob) Generalized nuclearity conditions and the split property in 
quantum field theory. 92m:81144 

— (with Porrmann, Martin; Stein, Ulrich) Dirac versus Wigner. Towards a universal 
particle concept in local quantum field theory. 92j:81146 

— (with Wanzenberg, Rainer) The realm of the vacuum. 92m:81145 

Coquereaux, R. Noncommutative geometry and theoretical physics. 92b:58020 

Doplicher, Sergio Local observables, gauge symmetries and broken symmetries. 92j:81147 

Dubin, D. A. (with Hennings, M. A.) * Quantum mechanics, algebras and distributions. 
92k:46123 

Dubois-Violette, Michel Noncommutative differential geometry, quantum mechanics and 
gauge theory. 92h:58016 

Duffield, N. G. Local correlation functions for mean-field dynamical semigroups on C*- 
algebras. 92k:82039 

Durdevié, Mi¢éo Contextual extensions of C* algebras and hidden variable theories. 
92c:81009 

Emch, Gérard G. Geometric quantization: regular representations and modular algebras. 
(see 92g:81003) 

Ernst, Kaspar (with Feng, Ping; Jaffe, Arthur M.; Lesniewski, Andrzej) Quantum K-theory. 
II. Homotopy invariance of the Chern character. 92¢:46136 

Evans, David E. C*-algebraic methods in statistical mechanics and field theory. 92c:81082 

Fagnola, Franco Quantum stochastic calculus and a boson Levy theorem. 92b:46101 

Feng, Ping see Ernst, Kaspar; et al., 92¢:46136 

Fichtner, Karl-Heinz (with Schreiter, Uwe) Locally independent boson systems. 92e:81081 

Frigerio, Alberto see Accardi, Luigi; et al., 92f:81067 and (92i:81011) 

Frohlich, Jiirg Quantum statistics and locality. 92f:81083 

— (with Gabbiani, F.) Braid statistics in local quantum theory. 92h:81085 

— (with Marchetti, P. A.) Spin-statistics theorem and scattering in planar quantum field 
theories with braid statistics. 92g:81169 

Gabbiani, F. see Frohlich, Jiirg, 92h:81085 

Georgescu, Vladimir see Boutet de Monvel-Berthier, Anne-Marie, 92m:46085 and 92m:81044 

Glockner, Peter Quantum stochastic differential equations on *-bialgebras. 92f:81070 

Grosse, H. The Schwinger term and the Berry phase in simple models. 92¢:81209 

Gudder, Stanley Quantum stochastic processes. 92a:81091 

Hennings, M. A. see Dubin, D. A., 92k:46123 

Honegger, Reinhard On the temperature states of the spin-boson model in the thermody- 
namic limit. 92g:82010 

— On the dynamics and the temperature states of the spin-boson model. 92c¢:82010 

Hudetz, Thomas Nonlinear entropy functionals and a characteristic invariant of symmetry 
group actions on infinite quantum systems. 92g:82011 

Hudson, R. L. (with Robinson, Paul) Quantum diffusions on the noncommutative torus 
and solid state physics. 92j:81120 

Inoue, Atsushi Modular structure of algebras of unbounded operators. 92k:47089 

Iwata, Koichiro see Albeverio, Sergio; et al., 92a:81105 

Jaffe, Arthur M. (with Osterwalder, Konrad) Ward identities for noncommutative 
geometry. 92¢:46139 

— (with Stoichev, O. Ts.) The modular group and super-KMS functionals. (see 92g:00021) 

— see also Ernst, Kaspar; et al., 92¢:46136 

Jakel, Christian D. Asymptotic triviality of the Moller operators in Galilei invariant 
quantum field theories. 924:81083 

Jones, V. F. R. Notes on subfactors and statistical mechanics. (see 92i:57011) 

Jorgensen, Palle E.T. (with Powers, Robert T.) Positive elements in the algebra of the 
quantum moment problem. 92k:47090 

Journé, Jean-Lin see Accardi, Luigi; et al., 92a:81086 

Karsten, Fatma * Klassifikation der unitar invarianten regularen Zustande der Weylalgebra 
der CCR iiber einem separablen Hilbertraum. (German) [Classification of the unitary 
invariant regular states of the Weyl algebra of the CCR over a separable Hilbert space] 
92d:81070 

Kastler, Daniel Introduction to noncommutative geometry and Yang-Mills model-building. 
92h:58017 

Koelink, H. Tjerk On *-representations of the Hopf *-algebra associated with the quantum 
group U,(n). 92b:16080 

Kolsrud, T. see Albeverio, Sergio; et al., 92a:81105 

Kummer, Hans J. The foundation of quantum theory and noncommutative spectral theory. 
II. 92m:81023 

Kuna, M. see Majewski, Wiadystaw A., 92b:82082 

Landsman, N. P. Quantization and superselection sectors. I. Transformation group C*- 
algebras. 92e:81125a 

— Errata: “Quantization and superselection sectors. I. Transformation group C*-algebras”. 
92e:81125b 

— Quantization and superselection sectors. II. Dirac monopole and Aharonov-Bohm effect. 
92e:81125c 

— Errata: “Quantization and superselection sectors. II. Dirac monopole and Aharonov- 
Bohm effect”. 92e:81125d 

Lesniewski, Andrzej see Ernst, Kaspar; et al., 92e:46136 

Lindsay, J. M. (with Parthasarathy, Kalyanapuram Rangachari) Rigidity of the Poisson 
convolution. 92f:46082 

— see also Accardi, Luigi; et al., 92a:81086 

La, Yun Gang see Accardi, Luigi; et al., 92f:81067; 92f:82035; 92i:81144 and (92i:81011) 

Mack, Gerhard (with Schomerus, Volker) Conformal field algebras with quantum 
symmetry from the theory of superselection sectors. 92i:81298 

Madore, J. Algebraic structure and particle spectra. 92e:58018 

Majewski, Wiadyslaw A. Return to equilibrium and stability of dynamics (semigroup 
dynamics case). 92f:46085 

— (with Kuna, M.) An example of an infinite system with zero quantum dynamical entropy. 
92b:82082 

Malyshev, V. A. Equivalences of C*-dynamical systems. 92¢:46132 

— see also Botvich, D. D., 92j:82041 

Manita, A. D. Properties of translation-invariant 
(Russian. English summary) 92j:46118 

Marchetti, P. A. see Frohlich, Jiirg, 92g:81169 





FUNCTIONAL ANALYSIS 


Matsui, Taku Gibbs measure as quantum ground states. 92b:82083 

Narnhofer, Heide Dynamical entropy, quantum K-systems and clustering. 92¢:82068 

— The concept of K-automorphisms in quantum field theory and the Jones index. 
92m:81146 

— (with Thirring, Walter) Galilei-invariant quantum field theories with pair interactions: a 
review. 92£:81084 

— see also Benatti, F., 92c:46070 

(von Neumann, John) see Araki, Huzihiro, 92b:01035 

Ogi, Hidekazu On KMS states for self-dual CCR algebras and Bogoliubov automorphism 
groups. 924:46154 

Osterwalder, Konrad see Jaffe, Arthur M., 92e:46139 

Parthasarathy, Kalyanapuram Rangachari see Lindsay, J. M., 92f:46082 

Petz, Dénes On certain properties of the relative entropy of states of operator algebras. 
92k:46112 

Porrmann, Martin see Buchholz, Detlev; et al., 92j:81146 

Powers, Robert T. see Jorgensen, Palle E. T., 92k:47090 

Pusz, Wiestlaw On the implementation of S,U(2) action in the irreducible representations 
of twisted canonical commutation relations. 92c:81073 

Raggio, G. A. (with Werner, Reinhard F.) The Gibbs variational principle for inhomoge- 
neous mean-field systems. 92k:82008 

Ratanov, N. E. (with Sukhov, Yu. M.) Invariant states for the time dynamics of one- 
dimensional lattice quantum Fermi systems. (Russian. English summary) 92i:82017 

Rehren, Karl-Henning Space-time fields and exchange fields. 92h:81086 

— Markov traces as characters for local algebras. 92g:81110 

Rieckers, Alfred see Volkert, H.-J., 92f:82019 

Robinson, Paul Quantum diffusions on the rotation algebras and the quantum Hall effect. 
92a:81094 

— see also Hudson, R. L., 92j:81120 

Sakai, Shéichiré * Operator algebras in dynamical systems. 92h:46099 

Schmiidgen, Konrad Eine Einfiihrung in die Theorie der Quantenmatrixgruppen. [An 
introduction to the theory of quantum matrix groups] 92g:46087 

Schomerus, Volker see Mack, Gerhard, 92i:81298 

Schreiter, Uwe see Fichtner, Karl-Heinz, 92e:81081 

Schulz-Mirbach, Hanns see Buchholz, Detlev, 92a:81106 

Schiirmann, Michael Quantum g-white noise and a g-central limit theorem. 92i:81145 

— Quantum stochastic processes with independent additive increments. 92k:46113 

Shukhov, A. G. (with Sukhov, Yu. M.) Correction to the hydrodynamical approximation 
for groups of Bogoljubov transformations. 92f:82037 

Stein, Ulrich see Buchholz, Detlev; et al., 92j:81146 

Stoichev, O. Ts. see Jaffe, Arthur M., (92g:00021) 

Stermer, Erling (with Voiculescu, Dan) Entropy of Bogoliubov automorphisms of the 
canonical anticommutation relations. 92¢:46125 

Streater, R. F. Symmetry groups and nonabelian cohomology. 92b:81100 

Sukhov, Yu. M. see Shukhov, A. G., 92f:82037 and Ratanov, N. E., 92i:82017 

Summers, Stephen J. On the independence of local algebras in quantum field theory. 
92c:81086 

Thirring, Walter see Narnhofer, Heide, 92f:81084 

Trapani, Camillo see Bagarello, F., 92m:82016 

Uhimann, Armin Algebra and geometry in the theory of mixed states. 92m:81143 

Unnerstall, Thomas Generators for unitarily implemented dynamics of infinite mean-field 
quantum systems. 92h:82082 

Verbeure, A. Dynamics of field fluctuations in the Schwinger model. 92:81095 

Voiculescu, Dan see Stormer, Erling, 92e:46125 

Volkert, H.-J. (with Rieckers, Alfred) Equilibrium states and phase transitions of some 
FCC-multi-lattice systems. 92f:82019 

Wald, Robert M. (with Yurtsever, Ulvi) General proof of the averaged null energy 
condition for a massless scalar field in two-dimensional curved spacetime. 92m:81194 

Wanzenberg, Rainer see Buchholz, Detlev, 92m:81145 

Watling, Neil A. Critical limit one-point correlations of monodromy fields on Z?. 
92e:82014 

— Temperature states on loop groups, boson-fermion correspondence, and a determinant 
identity. 92e:22036 

Werner, Reinhard F. see Raggio, G. A., 92k:82008 

Wilde, Ivan F. see Barnett, Chris, 92a:81087 and (92i:81011) 

Wollenberg, M. see Borchers, H.-J., 92h:81083 

Xia, Jingbo Geometric invariants of the quantum Hall effect. 92a:46087 

Yngvason, Jakob see Buchholz, Detlev, 92m:81144 

Yurtsever, Ulvi see Wald, Robert M., 92m:81194 


46L70 Nonassociative selfadjoint operator algebras 
[see also 46H70, 46K70] 


Adizov, A. A. see Ayupov, Sh. A., 92d:46169 and 92d:46170 

Arazy, Jonathan (with Friedman, Yaakov) Contractive projections in C,. (French 
summary) 92b:46111 

Ayupov, Sh. A. (with Adizov, A. A.) Linearity of multiplicative mappings of Jordan Banach 
algebras. (Russian) 92d:46169 

— (with Adizov, A. A.) Additivity of multiplicative mappings of JBW-factors of type I. 
(Russian. Uzbek summary) 924:46170 

Battaglia, M. Order theoretic type decomposition of JBW*-triples. 92d:46171 

Bunce, L. J. Inner ideals in W*-algebras and C*-algebras. 92¢:46075 

— (with Wright, J. D. Maitland) Complex Borel structure in JC-algebras. 92d:46172 

— (with Chu, Cho-Ho) Dual spaces of JB*-triples and the Radon-Nikodym property. 
92j:46122 

Castellén Serrano, Alberto (with Cuenca Mira, José Antonio) Compatibility in Jordan H*- 
triple systems. (Italian summary) 924:46173 

Chu, Cho-Ho see Bunce, L. J., 92j:46122 

Cuenca Mira, José Antonio see Castellén Serrano, Alberto, 92d:46173 

Dang, Trien Bang Real isometries between JB*-triples. 92g:46084 





751 1992 


Dineen, Sedn (with Timoney, Richard M.) The algebraic metric of Harris on JB*-triple 
systems. 92b:46112 

Edwards, C.M. (with Riittimann, G. T.) On inner ideals in ternary algebras. 92k:46119 

Friedman, Yaakov see Arazy, Jonathan, 92b:46111 

Rodriguez-Palacios, Angel (with Villena Muiioz, Armando R.) The extended centroid of a 
noncommutative J B*-algebra. (Spanish. English summary) (see 92b:00044) 

— On the strong* topology of a JBW*-triple. 92j:46123 

Rittimann, G. T. see Edwards, C. M., 92k:46119 

Timoney, Richard M. see Dineen, Sean, 92b:46112 

Villena Muiioz, Armando R. see Rodriguez-Palacios, Angel, (92b:00044) 

Wright, J.D. Maitland see Bunce, L. J., 92d:46172 


Items with secondary classifications in 46L70 

Abdullaev, R. Z. see Ayupov, Sh. A., 92g:46062 

Acosta Vigil, Maria Dolores An approximation property in C*-algebras and JB*-algebras. 
(Spanish) (see 92g:00024) 

Arazy, Jonathan (with Barton, Thomas Joseph; Friedman, Yaakov) Addendum: “Operator 
differentiable functions” [Integral Equations Operator Theory 13 (1990), no. 4, 462-487; 
MR 91d:47012]. 92g:47021 

Ayupov, Sh. A. (with Abdullaev, R. Z.) Isometries of L,-spaces constructed on semifinite 
JBW-algebras. (Russian) 92g:46062 

— (with lochum, Bruno; Yadgorov, N. Dzh.) Geometry of state spaces of finite-dimensional 
Jordan algebras. (Russian. Uzbek summary) 92g:46064 

Barton, Thomas Joseph see Arazy, Jonathan; et al., 92g:47021 

Beckhoff, Ferdinand Korovkin theory in normed algebras. 92j:46098 

Bunce, L. J. (with Wright, J. D. Maitland) Introduction to the K-theory of Jordan C*- 
algebras. 92a:46082 

Conrad, Joseph F. Transpositions of UHF algebras. 92c:46066 

Friedman, Yaakov see Arazy, Jonathan; et al., 92g:47021 

Iochum, Bruno see Ayupov, Sh. A.; et al., 92¢:46064 

Jergensen, Palle E.T. Extensions and index of Hermitian representations. 92b:46086 

Nomura, Takaaki Algebraically independent generators of invariant differential operators 
on a bounded sy ric d in. 92¢:32040 

Pérez Gonzalez, J. (with Rico Romero, L.; Rodriguez-Palacios, Angel; Villena Muiioz, 
Armando R.) Prime Jordan-Banach algebras with nonzero socle. 92j:46090 

Rico Romero, L. see Pérez Gonzalez, J.; et al., 92j:46090 

Rodriguez-Palacios, Angel see Pérez Gonzalez, J.; et al., 92j:46090 

Solel, Baruch Isometries of CSL algebras. 92j:47082 

Stormer, Erling The spatial form of antiautomorphisms of von Neumann algebras. 
92:46079 

Villena Munoz, Armando R. see Pérez Gonzalez, J.; et al., 92j:46090 

k, Kazimierz Hyperbolic geometry in bounded symmetric homogeneous domains 
of J*-algebras. 92j:32120 

Wright, J.D. Maitland see Bunce, L. J., 92a:46082 

Yadgorov, N. Dzh. see Ayupov, Sh. A.; et al., 92¢:46064 





46L80 K-theory and operator algebras (including cyclic theory) 
[see also 18F25, 19Kxx, 46M20, 55Rxx, 58G12] 


Baki¢, Damir Extensions of the ideal of compact operators by matrix algebras. (see 
92g:00022) 

Blackadar, Bruce Rational C*-algebras and nonstable K-theory. 92¢:46135 

Bunce, L. J. (with Wright, J. D. Maitland) Introduction to the K-theory of Jordan C*- 
algebras. 92a:46082 

Carey, Alan L. (with Phillips, John) Algebras almost commuting with Clifford algebras in a 
Il. factor. 92m:46107 

Ernst, Kaspar (with Feng, Ping; Jaffe, Arthur M.; Lesniewski, Andrzej) Quantum K-theory. 
II. Homotopy invariance of the Chern character. 92¢:46136 

Exel, Ruy (with Loring, Terry A.) Invariants of almost commuting unitaries. 92a:46083 

— (with Loring, Terry A.) Extending cellular cohomology to C*-algebras. 92¢:46137 

Feng, Ping see Ernst, Kaspar; et al., 92e:46136 

Goodearl, Kenneth R. Extensions of dimension groups and AF C*-algebras. 92c:46076 

Jaffe, Arthur M. see Ernst, Kaspar; et al., 92e:46136 

Jiang, Xin Hui see Li, Bing Ren; et al., 92h:46100 

Kastler, Daniel Introduction to entire cyclic cohomology (of Z/2-graded Banach algebras). 
92b:46113 

Khimshiashvili, G. N. On certain nonstable homotopy invariants for operator algebras. 
(Russian and Georgian summaries) 92j:46124 

Khoshkam, Mahmood Close C*-algebras are K K-equivalent. 92b:46114 

Kumjian, A. On the K-theory of the symmetrized noncommutative torus. 92b:46115 

Lesniewski, Andrzej see Ernst, Kaspar; et al., 92e:46136 

Li, Bing Ren (with Jiang, Xin Hui) The tracial state space of the GICAR algebra. (Chinese) 
92h:46100 

Loring, Terry A. see Exel, Ruy, 92a:46083 and 92e:46137 

Nagy, Gabriel On the general stable rank for pairs. 92a:46084 

Park, Efton (with Schochet, Claude) On the K-theory of quarter-plane Toeplitz algebras. 
92d:46174 

Phillips, John K-theory relative to a semifinite factor. 922:46085 

— (with Raeburn, Iain) Voiculescu’s double commutant theorem and the cohomology of 
C*-algebras. 92¢:46077 

— see also Carey, Alan L., 92m:46107 

Raeburn, Iain see Phillips, John, 92c:46077 

Schochet, Claude The Kasparov groups for commutative C*-algebras and Spanier- 
Whitehead duality. 92¢:46138 

— see also Park, Efton, 92d:46174 

Skandalis, Georges Kasparov’s bivariant K-theory and applications. 92h:46101 

Thomsen, Klaus Nonstable K-theory for operator algebras. 92h:46102 

Ventura, Belisario A. A characterization of UHF C*-algebras. 922:46086 

Wassermann, Simon C*-algebras associated with groups with Kazhdan’s property 7. 
92g:46085 


46L Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) 


Watatani, Yasue Jones index theory for C*-algebras. 92d:46175 
Wright, J. D. Maitland see Bunce, L. J., 92a:46082 
Xia, Jingbo Geometric invariants of the quantum Hall effect. 92a:46087 


Items with secondary classifications in 46L80 


Baum, Paul (with Douglas, Ronald G.) Relative K homology and C* algebras. 92m:19008 

Choi, Man Duen (with Elliott, George A.) Density of the selfadjoint elements with finite 
spectrum in an irrational rotation C*-algebra. 92a:46062 

Connes, Alain (with Moscovici, Henri) Cyclic cohomology, the Novikov conjecture and 
hyperbolic groups. 92a:58137 

— Caractéres des représentations -sommables des groupes discrets. (English summary) 
[Characters of 6-summable Fredholm representations of discrete groups] 92c:19003 

Coquereaux, R. Noncommutative geometry and theoretical physics. 92b:58020 

Dadarlat, M. (with Pasnicu, Cornel) On certain automorphisms of reduced crossed 
products with discrete groups. 92a:46077 

Douglas, Ronald G. (with Hurder, Steven; Kaminker, Jerome) The longitudinal cocycle and 
the index of Toeplitz operators. 92k:58266 

— see also Baum, Paul, 92m:19008 

Elliott, George A. see Choi, Man Duen, 922:46062 

Evans, David E. (with Kishimoto, Akitaka) Compact group actions on UHF algebras 
obtained by folding the interval. 92h:46093 

Farsi, Carla K-theoretical index theorems for good orbifolds. 92j:58102 

Fox, Jeffrey (with Haskell, Peter) Index theory on locally homogeneous spaces. 92j:58105 

Gordeev, S. R. On the index and homotopy classification of Noether operators with a finite 
group of shifts. (Russian) 92d:47065 

Haskell, Peter see Fox, Jeffrey, 92j:58105 

Higson, Nigel A primer on K K-theory. 92g:19005 

Hurder, Steven see Douglas, Ronald G.; et al., 92k:58266 

Julg, Pierre (with Kasparov, G.G.) L’anneau K Kg(C,C) pour G = SU(n, 1). (English 
summary) [The ring KKg(C,C) for G = SU(n, 1)] 92i:19008 

Kaminker, Jerome see Douglas, Ronald G.; et al., 92k:58266 

Karoubi, Max Théorie générale des classes caractéristiques secondaires. (English summary) 
[General theory of secondary characteristic classes] 92a:55006 

Kasparov, G. G. (with Skandalis, Georges) Groups acting on buildings, operator K-theory, 
and Novikov’s conjecture. 92h:19009 

— Relative K-homology and K-homology of an ideal. 92m:19009 

— see also Julg, Pierre, 92i:19008 

Kastler, Daniel Equivariant calculus in the differential envelope. 92i:58017 

Khelemskii, A. Ya. Homology in Banach and polynormed algebras: some results and 
problems. 92a:46090 

— Expression of the normal cohomology in terms of “ext”, and some applications. 
92a:46091 

Kishimoto, Akitaka Actions of finite groups on certain inductive limit C*-algebras. 
92d:46166 

— see also Evans, David E., 92h:46093 

Klimek, Stawomir (with Kondracki, Witold; Lesniewski, Andrzej) Equivariant entire cyclic 
cohomology. I. Finite groups. 92g:46091 

— (with Lesniewski, Andrzej) Chern character in equivariant entire cyclic cohomology. 
92h:19003 

Kodaka, Kazunori A diffeomorphism of an irrational rotation C*-algebra by a nongeneric 
rotation. 92f:46077 

— Approximately inner +-derivations of irrational rotation C*-algebras. 92a:46080 

— Automorphisms of tensor products of irrational rotation C*-algebras and the C*-algebra 
of compact operators. 92g:46072 

Kondracki, Witold see Klimek, Slawomir; et al., 92g:46091 

Lé Anh Vii On the foliations formed by the generic K-orbits of the MD4-groups. 92f:46088 

Lesniewski, Andrzej see Klimek, Stawomir; et al., 92g:46091 and 92h:19003 

Moriyoshi, Hitoshi Chern character for proper I'-manifolds. 92b:58225 

Moscovici, Henri see Connes, Alain, 92a:58137 

Pasnicu, Cornel see Dadarlat, M., 92a:46077 

Phillips, N. Christopher K-theory for Fréchet algebras. 92¢:46143 

Roe, John A note on the relative index theorem. 92g:58125 

Skandalis, Georges see Kasparov, G. G., 92h:19009 

Stacey, P. J. Stability of invol y iautomorphisms in UHF algebras. 92g:46077 

Upmeier, Harald Toeplitz operators and index theory in several complex variables. 
92:47021 

Valette, Alain Le réle des fibrés de rang fini en théorie de Kasparov équivariante. [The role 
of fiber bundles of finite rank in equivariant Kasparov theory] 92i:19009 

Wang, Xiaolu Bivariant Chern character. I. (see 91g:47002) 

Wassermann, Antony Coactions and Yang-Baxter equations for ergodic actions and 
subfactors. 924:46167 

Zhang, Shuang Trivial K,-flow of AF algebras and finite von Neumann algebras. 92f:46086 

— Diagonalizing projections in multiplier algebras and in matrices over a C*-algebra. 
92h:46088 





46L85 Noncommutative topology [see also 58B30, 58G12] 


Murphy, Gerard J. Dimension theory and stable rank. 92i:46084 

-— The analytic rank of a C*-algebra. 92i:46085 

Raeburn, Iain (with Williams, Dana P.) Moore cohomology, principal bundles, and actions 
of groups on C*-algebras. 92j:46125 

Williams, Dana P. see Raeburn, Iain, 92j:46125 


Items with secondary classifications in 46L85 

Accardi, Luigi (with Hudson, R. L.) Quantum stochastic flows and nonabelian cohomology. 
92k:81085 

Beggs, Edwin J. (with Evans, David E.) The real rank of algebras of matrix valued 
functions. 92¢e:46114 

Brown, Lawrence G. (with Pedersen, Gert K.) C*-algebras of real rank zero. 92m:46086 





46L85 


Connes, Alain * Géométrie non commutative. (French) [Noncommutative geometry] 
92e:58016 

Elliott, George A. Dimension groups with torsion. 92¢:46116 

Evans, David E. see Beggs, Edwin J., 92e:46114 

Hudson, R. L. see Accardi, Luigi, 92k:81085 

Kasparov, G. G. (with Skandalis, Georges) Groups acting on buildings, operator K-theory, 
and Novikov’s conjecture. 92h:19009 

Khimshiashvili, G. N. On certain nonstable homotopy invariants for operator algebras. 
(Russian and Georgian summaries) 92j:46124 

Pedersen, Gert K. see Brown, Lawrence G., 92m:46086 

Skandalis, Georges see Kasparov, G. G., 92h:19009 

Streater, R. F. Symmetry groups and nonabelian cohomology. 92b:81100 

Takai, Hiroshi On the Baum-Connes conjecture. 92¢:19004 

Thomsen, Klaus Nonstable K-theory for operator algebras. 92h:46102 

Upmeier, Harald Multivariable Toeplitz operators and index theory. 92m:58131 

Voiculescu, Dan A note on quasi-diagonal C*-algebras and homotopy. 92c¢:46062 


46L87 Noncommutative differential geometry [see also 58B30, 
58G12] 


Bost, Jean-Benoit Principe d’Oka, K-théorie et systemes dynamiques non commutatifs. 
[The Oka principle, K-theory and noncommutative dynamical systems] 92j:46126 

Jaffe, Arthur M. (with Osterwalder, Konrad) Ward identities for noncommutative 
geometry. 92e:46139 

Lé Anh Vii On the foliations formed by the generic K-orbits of the MD4-groups. 92f:46088 

Osterwalder, Konrad see Jaffe, Arthur M., 92¢:46139 

Rouhani, H. Quasi-rotation C*-algebras. 92f:46089 

Spera, Mauro A noncommutative geometric reinterpretation of the canonical commutation 
relations. (Italian summary) 92g:46086 

Weinstein, Alan Symplectic groupoids, geometric quantization, and irrational rotation 
algebras. 92h:46103 

Wilkins, David R. The Grassmann manifold of a C*-algebra. 92b:46116 

Xu, Ping Morita equivalent symplectic groupoids. 92i:46086 


Items with secondary classifications in 46L87 


Atiyah, Michael Francis The Jones-Witten invariants of knots. 92k:57005 

Bratteli, Ola (with Elliott, George A.; Evans, David E.; Kishimoto, Akitaka) Noncommuta- 
tive spheres. I. 92d:58008 

Connes, Alain * Géométrie non commutative. (French) [Noncommutative geometry] 
92e:58016 

— Essay on physics and noncommutative geometry. 92g:58007 

— Introduction a la géométrie non-commutative. [Introduction to noncommutative 
geometry] 92e:58017 

Coquereaux, R. Noncommutative geometry and theoretical physics. 92b:58020 

— Higgs fields and superconnections. 92j:58006 

Dubois-Violette, Michel Noncommutative differential geometry, quantum mechanics and 
gauge theory. 92h:58016 

Elliott, George A. see Bratteli, Ola; et al., 92d:58008 

Evans, David E. see Bratteli, Ola; et al., 92d:58008 

Heitsch, James L. (with Lazarov, Connor) Homotopy invariance of foliation Betti 
numbers. 92b:58219 

Hudson, R. L. (with Robinson, Paul) Quantum diffusions on the noncommutative torus 
and solid state physics. 92j:81120 

Kastler, Daniel Equivariant calculus in the differential envelope. 92i:58017 

— Introduction to noncommutative geometry and Yang-Mills model-building. 92h:58017 

Kishimoto, Akitaka see Bratteli, Ola; et al., 92d:58008 

Lazarov, Connor see Heitsch, James L., 92b:58219 

Madore, J. Algebraic structure and particle spectra. 92e:58018 

— The commutative limit of a matrix geometry. 92b:58021 

Manin, Yu. I. * Topics in noncommutative geometry. 92k:58024 

Robinson, Paul Quantum diffusions on the rotation algebras and the quantum Hall effect. 
92a:81094 

— see also Hudson, R. L., 92j:81120 

Rosso, Marc Algébres enveloppantes quantifiées, groupes quantiques compacts de matrices 
et calcul différentiel non commutatif. [Quantized enveloping algebras, compact quantum 
groups of matrices and noncommutative differential calculus] 92i:17022 

Suzuki, Haruo Holonomy groupoids of generalized foliations. II. Transverse measures and 
modular classes. 92:57039 

Wang, Xiaolu The C*-algebras of Morse-Smale flows on two-manifolds. 92f:58014 

Wiesbrock, Hans-Werner The C*-algebra of bosonic strings. 92i:46083 

Xia, Daoxing Trace formulas for almost commuting operators, cyclic cohomology and 
subnormal operators. 92a:47046 


46L89 Other “noncommutative” mathematics based on C*- 
algebra theory [see also 58B30, 58G12] 


Bragiel, Kazimierz On the Wigner-Eckart theorem for tensor operators connected with 
compact matrix quantum groups. 924:46176 

Narnhofer, Heide (with Thirring, Walter) Algebraic K-systems. 92h:46104a 

— (with Thirring, Walter) Errata: “Algebraic K-systems”. 92h:46104b 

Schmiidgen, Konrad Eine Einfiihrung in die Theorie der Quantenmatrixgruppen. [An 
introduction to the theory of quantum matrix groups] 92g:46087 

Thirring, Walter see Narnhofer, Heide, 92h:46104a and 92h:46104b 

Ww wicz, S. L. Unbounded elements affiliated with C*-algebras and noncompact 
quantum groups. 92b:46117 

Zakrzewski, Stanislaw Matrix pseudogroups associated with anti-commutative plane. 
924:46177 





FUNCTIONAL ANALYSIS 


Items with secondary classifications in 46L89 


Cartier, Pierre Développements récents sur les groupes de tresses. Applications a la 
topologie et a l’algébre. [Recent developments on braid groups. Applications to topology 
and algebra] 92d:20053 

Connes, Alain * Géométrie non commutative. (French) [Noncommutative geometry] 
92e:58016 

Levendorskii, S. Z. (with Soibel'man, Ya. S.) Algebras of functions on compact quantum 
groups, Schubert cells and quantum tori. 92h:58020 

Masuda, Tetsuya (with Watanabe, Junsei) Sur les espaces vectoriels topologiques associés 
aux groupes quantiques SU,(2) et SU,(1, 1). (English summary) [On the topological 
vector spaces associated with the quantum groups SU,(2) and SU,(1,1)] 92b:58022 

Soibel’man, Ya. S. see Levendorskii, S. Z., 92h:58020 

Watanabe, Junsei see Masuda, Tetsuya, 92b:58022 

Yu, Guo Liang Cyclic cohomology and the index theory of transversely elliptic operators. 
92}:58106 


46L99 None of the above, but in this section 


Corach, Gustavo (with Porta, Horacio A.; Recht, L.) A geometric interpretation of Segal’s 
inequality ||e**” || < |je*/2e¥ e*/2||. 92:46105 

Panchapagesan, T. V. Uniform ordered spectral decompositions. (Spanish summary) 
92b:46118 

Popescu, George Korovkin theorems in Banach algebras. 92h:46106 

Porta, Horacio A. see Corach, Gustavo; et al., 92h:46105 

Recht, L. see Corach, Gustavo; et al., 92h:46105 

Sheu, Albert Jeu-Liang How are the Toeplitz C*-algebras of Reinhardt domains affected by 
taking pseudoconvex hulls? 92g:46088 

Ylinen, Kari Completely bounded noncommutative bimeasures and random fields. (see 
92b:00045) 


Items with secondary classifications in 46L99 

Bozejko, Marek (with Speicher, Roland) w-independent and symmetrized white noises. 
(see 92i:81011) 

Buyukliev, Nikolay P. On the C*-algebras of multivariable Wiener-Hopf operators. 
92c:47028 

Chevalier, G. Around the relative center property in orthomodular lattices. 924:06023 

Curto, Rail E. Operator theory on Reinhardt domains. 92j:47052 

Dang Suang Tkhan’ see Lebedev, A. V., 92k:47048 

Davidson, Kenneth R. (with Power, S.C.) Isometric automorphisms and homology for 
nonselfadjoint operator algebras. 92h:47058 

Epifanio, Giuseppina (with Trapani, Camillo) Partial +-algebras and Volterra convolution 
of distribution kernels. 924:46138 

Fialkow, Lawrence A. (with Salas, Héctor) Majorization, factorization and systems of linear 
operator equations. 92h:46086 

Filippov, O. G. Reduction of operators with almost periodic symbols to operators over C*- 
algebras on sections of associated bundles over a torus. 92a:58138 

Forrest, Brian Amenability and bounded approximate identities in ideals of A(G). 
92e:43003 

Grzaslewicz, Ryszard Positive functionals on 2(R"). 92k:47084 

Han, De Guang Rank-one operators in strongly reflexive operator algebras. (Chinese. 
English summary) 92g:47057 

Inoue, Atsushi Modular structure of algebras of unbounded operators. 92k:47089 

Jorgensen, Palle E.T. (with Pedersen, Steen) An algebraic spectral problem for L?(Q), Qc 
R". (French summary) 92b:47043 

Junek, Heinz Representation of linear functionals by a trace on algebras of unbounded 
operators defined on dualmetrizable domains. 92g:47066 ; 

Katavolos, Aristides (with Papanastassiou, Nikos) Order convergence in operator algebras. 
92m:47081 

Khimshiashvili, G. N. Homotopies of invertible pseudodifferential operators. (Russian 
summary) 92b:58221 

Kraus, Jon The slice map problem and approximation properties. 92m:47083 

Lebedev, A. V. (with Dang Suang Tkhan’) A C*-algebra generated by Toeplitz operators and 
a group of shifts. (Russian. English summary) 92k:47048 

Mathes, D. Benjamin Completely bounded transformations of #-operator spaces. 
92h:47043 

Moon, Byung Soo A characterization of linear operators with property (A2) on the ordered 
space of Hermitian matrices. 924:15020 

Nica, Alexandru Wiener-Hopf operators on the positive semigroup of a Heisenberg group. 
92d:47038 

Okubo, Kazuyoshi A Cauchy-Schwarz type norm inequality. 92e:15025 

Oprea, Ana Gabriela Some multiplication formulas in the Clifford algebra. 92i:46087 

Papanastassiou, Nikos see Katavolos, Aristides, 92m:47081 

Paulsen, Vern I. (with Power, S.C.) Tensor products of nonselfadjoint operator algebras. 
924:47061 

Pavlakos, Panaiotis K. Integral representation theorems in partially ordered vector spaces. 
92j:46011 

Payne, Kevin R. Smooth tame Fréchet algebras and Lie groups of pseudodifferential 
operators. 92a:58140 

Pedersen, Steen see Jorgensen, Palle E. T., 92b:47043 

Peters, Justin R. (with Poon, Yiu Tung) Invariants for triangular AF algebras. 92j:47081 

Pincus, J.D. The principal index. 92f:47037 

Poon, Yiu Tung see Peters, Justin R., 92j:47081 

Power, S.C. see Paulsen, Vern I., 92d:47061 and Davidson, Kenneth R., 92h:47058 

Ricker, Werner J. Boolean algebras of projections and spectral measures in dual spaces. 
92e:47059 

Riedel, Norbert Spectra and resolvents of certain polynomials in the irrational rotation 
algebra. 92a:47045 

Roch, Steffen (with Silbermann, Bernd) * Algebras of convolution operators and their 
image in the Calkin algebra. 924:47067 

Rosenthal, Kimmo I. * Quantales and their applications. 92¢:06028 





753 1992 


Rupp, Rudolf Stable rank and the 9-equation. 92g:46066 

Salas, Héctor see Fialkow, Lawrence A., 92h:46086 

Salinas, Norberto Applications of C*-algebras and operator theory to proper holomorphic 
mappings. 92¢:47054 

Samoilenko, Yu. S. * Spectral theory of families of selfadjoint operators. 92j:47038 

Silbermann, Bernd see Roch, Steffen, 92d:47067 

Speicher, Roland see Bozejko, Marek, (92i:81011) 

(Tisjachnij, E. V.) see Samoilenko, Yu. S., 92j:47038 

Trapani, Camillo see Epifanio, Giuseppina, 92d:46138 

Wagner, Bruce H. Quasidiagonal operator algebras. 92f:47047 

Woronowicz, S. L. A remark on compact matrix quantum groups. 92k:46097 

Zakrzewski, Stanislaw Hamiltonian group representations and phase actions. 92f:58067 


46Mxx Methods of category theory in functional analysis 
[see also 18-XX] 


Khelemskii, A. Ya. * The homology of Banach and topological algebras. 92d:46178 
(West, Alan) see Khelemskii, A. Ya., 92d:46178 


46M05 Tensor products [see also 46432, 46B28, 47A80] 


Blei, Ron C. Fractional tensor products and P & M maps. 92m:46108 

Bonet, José (with Galbis, Antonio) The identity L(E, F) = LB(E, F), tensor products and 
inductive limits. 92¢:46140 

— (with Diaz Alcaide, Juan Carlos) The problem of the Grothendieck topologies and the 
class of Fréchet T-spaces. (Spanish. English summary) (see 92b:00044) 

— (with Peris, Alfredo) On the injective tensor product of quasinormable spaces. 92j:46127 

Colojoara, Alexandra The Banach tensor algebra with involution associated to a Banach 
space with absolute basis. I. An absolute basis for tensor algebra of Banach space with 
absolute basis. (Romanian summary) 

Defant, Andreas (with Floret, Klaus; Taskinen, Jari) On the injective tensorproduct of 
(DF)-spaces. 92h:46107 

Diaz Alcaide, Juan Carlos see Bonet, José, (92b:00044) 

Effros, Edward G. (with Ruan, Zhong-jin) On approximation properties for operator 
spaces. 92g:46089 

Emmanuele, Giovanni On the reciprocal Dunford-Pettis property in projective tensor 
products. 92a:46088 

— Remarks on weak compactness of operators defined on certain injective tensor products. 
92m:46109 

Floret, Klaus see Defant, Andreas; et al., 92h:46107 

Galbis, Antonio see Bonet, José, 92e:46140 

Han, De Guang Best approximations in tensor product spaces. (Chinese. English summary) 
92e:46141 

Horwitz, L. P. see Razon, Aharon, 92j:46129 and 92}j:46130 

Jha, K. K. (with Sharan, P. K.; Mishra, Shiva Kumar) On topological tensor products of 
(countably) barrelled spaces. 92j:46128 

Kirsten, Klaus-Detlef Bounded sets in projective tensor products of Hilbertizable locally 
convex spaces. 92h:46108 

Lépez Molina, J. A. (with Rivera Ortan, M. J.) The density condition in tensor products of 
decomposable Fréchet T-spaces. (Spanish. English summary) (see 92m:00049) 

Mishra, Shiva Kumar A study of identity for tensor products. 

— see also Sha, K. K.; et al., 92j:46128 

Oprea, Ana Gabriela Some multiplication formulas in the Clifford algebra. 92i:46087 

Peris, Alfredo see Bonet, José, 92j:46127 

Razon, Aharon (with Horwitz, L. P.) Tensor product of quaternion Hilbert modules. 
92j:46129 

— (with Horwitz, L. P.) Projection operators and states in the tensor product of quaternion 
Hilbert modules. 92j:46130 

Rivera Ortin, M. J. The weak topology in certain right-injective tensor products of Banach 
spaces. 92¢e:46142 

— see also Lépez Molina, J. A., (92m:00049) 

Ruan, Zhong-jin see Effros, Edward G., 92g:46089 

Sharan, P. K. see Jha, K. K.; et al., 92j:46128 

Shotaev, G. N. Tensor product of Banach spaces with a mixed norm. (Russian) 92a:46089 

Taskinen, Jari see Defant, Andreas; et al., 92h:46107 

Ulymzhiev, M. D. On the existence of the structure of a vector lattice in tensor products of 
Banach lattices. (Russian. English summary) 924:46179 


Items with secondary classifications in 46M05 

Bhatt, Subhash J. (with Karia, Dinesh J.) Complete positivity, tensor products and C*- 
nuclearity for inverse limits of C*-algebras. 92j:46103 

Bhattacharya, D. K. (with Maity, A. K.) Semilinear tensor product of '-Banach algebras. 
92m:46072 

Bonet, José (with Diaz Alcaide, Juan Carlos) The problem of topologies of Grothendieck 
and the class of Fréchet T-spaces. 92j:46002 

Carl, Bernd (with Defant, Andreas) Tensor products and Grothendieck type inequalities of 
operators in L,-spaces. 92g:47035 

Castillo, Jesis M. F. Sequences, operators and tensors. 922:46002 

Chen, Qing (with Zhu, Zuo Tong) Completely positive mappings and their tensor prod 


46M Methods of category theory in functional analysis 


46M15 


Diaz Alcaide, Juan Carlos (with Lopez Molina, J. A.) The approximation property of order 
(p,q) in locally convex spaces. (Spanish) (see 92g:00024) 

— Noncontainment of /' in projective tensor products of Banach spaces. 92a:46015 

— see also Bonet, José, 92j:46002 

Dobrakov, Ivan Representation of multilinear operators on x Co(7;, X;). 1. 92k:47058 

Elezovié, Neven p-summing operators defined on tensor products of Banach spaces. (Serbo- 
Croatian summary) 92a:47029 

Fernandez-Cabrera, Luz M. see Cobos, Fernando, 92f:47048 

Grenbek, Niels Amenability and weak amenability of tensor algebras and algebras of 
nuclear operators. 92f:46062 

Jha, Shyamanand (with Umar, Md. Azim) A new result on the dual of locally convex 
algebras. 

Jo, Young Soo Factorization of automorphisms on tensor product of algebras. II. 92i:47046 

Junek, Heinz Injective and radial ideals of bilinear operators. (German and Russian 
summaries) 92¢:47078 

Karia, Dinesh J. see Bhatt, Subhash J., 92j:46103 

Karyaev, A. M. (with Yakovlev, N. V.) Automatic complementability of some classes of 
annihilator ideals in Banach algebras. (Russian) 92f:46060 

Kitchen, J. W. (with Robbins, D. A.) Linear algebra in the category of C(M)-locally convex 
modules. 92b:46120a 

— (with Robbins, D. A.) Errata: “Linear algebra in the category of C(M)-locally convex 
modules”. 92b:46120b 

Kodaka, Kazunori Automorphisms of tensor products of irrational rotation C*-algebras and 
the C*-algebra of compact operators. 92g:46072 

Kouba, Omran On the interpolation of injective or projective tensor products of Banach 
spaces. 92e:46147 

Lépez Molina, J. A. Some generalizations of Pitt’s theorem. (Spanish. English summary) 
(see 92m:00049) 

— see also Diaz Alcaide, Juan Carlos, (92g:00024) 

Maity, A. K. On semilinear tensor product. 92i:46089 

— see also Bhattacharya, D. K., 92m:46072 

Martinez, Aurea see Corbacho Rosas, Eusebio, (92g:00024) 

Mascioni, Vania see Defant, Andreas, 92d:47031 

Moraes, Luiza A. see Defant, Andreas, 92c:46045 

Paulsen, Vern I. Three tensor norms for operator spaces. 92j:46108 

— (with Power, S.C.) Tensor products of nonselfadjoint operator algebras. 924:47061 

Power, S.C. Classification of tensor products of triangular operator algebras. 92a:47053 

— see also Paulsen, Vern I., 92d:47061 

Robbins, D. A. see Kitchen, J. W., 92b:46120a and 92b:46120b 

Saab, Elias (with Saab, Paulette) Applications linéaires continues sur le produit tensoriel 
injectif d’espaces de Banach. (English summary) [Operators on injective tensor products 
of Banach spaces] 92b:47039 

Saab, Paulette see Saab, Elias, 92b:47039 

Tonev, Toma V. Multi-tuple Shilov boundaries of algebra tensor products. 92b:46084 

Umar, Md. Azim see Jha, Shyamanand 

Yakovlev, N. V. see Karyaev, A. M., 92£:46060 

Ylinen, Kari Representing completely bounded multilinear operators. 92k:46098 

Zhu, Zuo Tong see Chen, Qing; et al., 92e:46115 


46M07 Ultraproducts [see also 46B08, 46S20] 
Kang, Si-Ho Ultraproducts of locally convex spaces. 92g:46090 


Items with secondary classifications in 46M07 

Kadelburg, Zoran (with Radenovic¢, Stojan) On ultrapowers of linear topological spaces 
without convexity conditions. 924:46008 

Radenovi¢, Stojan see Kadelburg, Zoran, 92d:46008 

Raynaud, Yves Some remarks on ultrapowers and superproperties of the sum and interpola- 
tion spaces of Banach spaces. 92k:46044 


46M10 Projective and injective objects [see also 46A22] 


Braun, Riidiger W. (with Meise, Reinhold; Vogt, Dietmar) Applications of the projective 
limit functor to convolution and partial differential equations. 92b:46119 

Meise, Reinhold see Braun, Ridiger W.; et al., 92b:46119 

Vogt, Dietmar see Braun, Riidiger W.; et al., 92b:46119 


46M15 Functors {For K-theory and EXT, see 19K33, 46L80, 
46M20.} 


Colojoara, Alexandra Banach algebras category and Banach Lie algebras category as 
categories with multiplication. 92j:46131 

Constantinescu, Corneliu Banach categories. 924:46180 

Espaiiol, L. (with Minguez, M. C.) Logical open sets of convenient spaces in the Cahiers 
topos. (Spanish) (see 92g:00024) , 

Froelich, John Operator algebras and differential topology. (see 92d:00034) 

Kandelaki, T. K. K-theory of Z-graded Banach categories. 1. 92¢:46078 

Kitchen, J. W. (with Robbins, D. A.) Linear algebra in the category of C(M)-locally convex 

dules. 92b:46120a 





(Chinese. English summary) 92e:46115 

Cobos, Fernando (with Fernandez-Cabrera, Luz M.) On the tensor stability of some 
operator ideals. (Russian summary) 92f:47048 

Corbacho Rosas, Eusebio (with Martinez, Aurea) Operator bi-ideals and tensor norms. 
(Spanish) (see 92g:00024) 

Defant, Andreas (with Mascioni, Vania) Limit orders of ez-continuous operators. 
924:47031 

— (with Moraes, Luiza A.) On unconditional bases in spaces of holomorphic functions in 
infinite dimensions. 92c:46045 

— see also Carl, Bernd, 92g:47035 


— (with Robbins, D. A.) Errata: “Linear algebra in the category of C(M)-locally convex 
modules”. 92b:46120b 

Minguez, M. C. see Espaiiol, L., (92g:00024) 

Nel, Louis Daniel’ * Introduction to categorical methods. Part 1, 2. 92j:46132a 

— * Introduction to categorical methods. Part 3. 92j:46132b 

Pelletier, Joan Wick Locales in functional analysis. 92b:46121 

Pumpliin, Dieter (with Réhri, Helmut) Congruence relations on totally convex spaces. 
92d:46181 

Robbins, D. A. see Kitchen, J. W., 92b:46120a and 92b:46120b 

Réhri, Helmut see Pumpliin, Dieter, 92d:46181 





46M15 


Items with secondary classifications in 46M15 

Antosik, Piotr (with Lu, Li Rong; Jun, Yang Dian; Chun, Bu Zhen; Pap, Endre; Swartz, 
Charles) On uniform convergence of the inner product of sequences. 92b:22001 

Ball, Richard N. (with Hager, Anthony W.) On the localic Yosida representation of an 
Archimedean lattice ordered group with weak order unit. 92k:06023 

Bierstedt, Klaus-D. (with Bonet, José) Projective descriptions of weighted inductive limits: 
the vector-valued cases. 92¢:46044 

Bonet, José see Bierstedt, Klaus-D., 92¢:46044 

Bunyaev, M. M. ¢-closure in locally convex spaces and a closed graph theorem. (Russian) 
92£:46002 

Chun, Bu Zhen see Antosik, Piotr; et al., 92b:22001 

Gonzalez, Manuel (with Martinén, Antonio) On the generalized Sadovskii functor. 
925:47084 

Hager, Anthony W. see Ball, Richard N., 92k:06023 

Inasaridze, Kh. N. K-theory of special normed rings. 92j:46133 

Jun, Yang Dian see Antosik, Piotr; et al., 92b:22001 

La, Li Rong see Antosik, Piotr; et al., 92b:22001 

Martinén, Antonio see Gonzalez, Manuel, 92j:47084 

Min, Kyung Chan (with Nel, Louis Daniel') Infinite-dimensional holomorphy via 
categorical differential calculus. 92b:46067 

Nel, Louis Daniel’ see Min, Kyung Chan, 92b:46067 

Pap, Endre see Antosik, Piotr; et al., 92b:22001 

Swartz, Charles see Antosik, Piotr; et al., 92b:22001 


46M20 Methods of algebraic topclogy (cohomology, sheaf and 
bundle theory, etc.) [see also 14F05, 18Fxx, 19Kxx, 
32Cxx, 32Lxx, 46L80, 55Rxx] 


Corach, Gustavo (with Suarez, Fernando Daniel) Real stable ranks. 92f:46090 

Inasaridze, Kh. N. K-theory of special normed rings. 92j:46133 

Khelemskii, A. Ya. From topological homology: algebras with various conditions of 
homological triviality. (Russian) 92k:46120 

— Homology in Banach and polynormed algebras: some results and problems. 92a:46090 

— Expression of the normal cohomology in terms of “ext”, and some applications. 
92a:46091 

Klimek, Stawomir (with Kondracki, Witold; Lesniewski, Andrzej) Equivariant entire cyclic 
cohomology. I. Finite groups. 92g:46091 

Kondracki, Witold see Klimek, Slawomir; et al., 92g:46091 

Kyriazis, Athanasios On tensor product a-algebra bundles. 924:46182 

Lesniewski, Andrzej see Klimek, Stawomir, et al., 92g:46091 

Meise, Reinhold (with Taylor, B. A.; Vogt, Dietmar) Partial differential operators with 
continuous linear right inverse. 92b:46122 

Phillips, N. Christopher K-theory for Fréchet algebras. 92¢:46143 

Stavrakas, G. A. Cohomology theory on noncommutative algebras of continuous functions. 
92h:46109 

Suarez, Fernando Daniel see Corach, Gustavo, 92f:46090 

Taylor, B. A. see Meise, Reinhold; et al., 92b:46122 

Vogt, Dietmar see Meise, Reinhold; et al., 92b:46122 

Wodzicki, Mariusz Resolution of the cohomology comparison problem for amenable 
Banach algebras. 92k:46121 


Items with secondary classifications in 46M20 


Agayan, S. M. The structure sheaf of a Banach algebra. (Russian) 92f:46092 

Arzumanyan, V. A. (with Grigoryan, Souren Arshakovich) Noncommutative uniform 
algebras. 924:46143 

Bunyaev, M. M. €-closure in locally convex spaces and a closed graph theorem. (Russian) 
92£:46002 

Chien, Mao Ting Automorphism groups of C*-algebra bundles. 924:46155 

Connes, Alain On the Chern character of @ summable Fredholm modules. 92i:19003 

Cerach, Gustavo (with Porta, Horacio A.; Recht, L.) Multiplicative integrals and geometry 
of spaces of projections. 92h:46068 

— (with Suarez, Fernando Daniel) An infinite family of hulls. 92m:46079 

Davidson, Kenneth R. (with Power, S.C.) Isometric automorphisms and homology for 
nonselfadjoint operator algebras. 92h:47058 

Exel, Ruy (with Loring, Terry A.) Extending cellular cohomology to C*-algebras. 
92e:46137 

Gilfeather, Frank L. A note on special CSL algebras with nontrivial cohomology. 92b:47064 

— (with Smith, Roger R.) Operator algebras with arbitrary Hochschild cohomology. 
92m:47082 

Grigoryan, Souren Arshakovich see Arzumanyan, V. A., 92d:46143 

Grenbek, Niels Constructions preserving weak amenability. 92a:46056 

Johnson, B. E. Weak amenability of group algebras. 92k:43004 

Julg, Pierre (with Kasparov, G.G.) L’anneau K Kg(C,C) pour G = SU(n, 1). (English 
summary) [The ring K Kg(C,C) for G =SU(n, 1)] 92i:19008 

Kandelaki, T. K. K-theory of Z2-graded Banach categories. I. 92¢:46078 

Karyaev, A.M. (with Yakovlev, N. V.) Automatic complementability of some classes of 
annihilator ideals in Banach algebras. (Russian) 92f:46060 

Kasparov, G. G. see Julg, Pierre, 92i:19008 

Kastler, Daniel Introduction to entire cyclic cohomology (of Z/2-graded Banach algebras). 
92b:46113 

— Equivariant calculus in the differential envelope. 92i:58017 

Khimshiashvili, G. N. On the homotopy structure of invertible singular operators. (see 
924:30002) 

— Homotopies of invertible pseudodifferential operators. (Russian summary) 92b:58221 

Klimek, Slawomir (with Lesniewski, Andrzej) Chern character in equivariant entire cyclic 
cohomology. 92h:19003 

Kocatepe, Mefharet A note on vanishing of the functor Ext! for Kéthe spaces. 92£:46006 


Kurapin, G.I. The implicit mapping theorem for a class of topological modules. (Russian) 
92j:46079 


FUNCTIONAL ANALYSIS 


1992 754 


Kurmakaeva, E. Sh. (with Shkarin, S. A.) On the projectivity of some modules over 
polynormed algebras of continuous functions. (Russian) 92b:46075 

Laroco, Leonardo A., Jr. Stable rank and approximation theorems in H®. 922:46059 

Lesniewski, Andrzej see Klimek, Stawomir, 92h:19003 

Lorentz, Kai On the rational homogeneous manifold structure of the similarity orbits of 
Jordan elements in operator algebras. 92i:47040 

Loring, Terry A. see Exel, Ruy, 92e:46137 

Murphy, Gerard J. Dimension theory and stable rank. 92i:46084 

Park, Efton (with Schochet, Claude) On the K-theory of quarter-plane Toeplitz algebras. 
92d:46174 

Peters, Justin R. On analytic subalgebras of UHF algebras. 92g:47063 

Phillips, John (with Raeburn, Iain) Voiculescu’s double commutant theorem and the 
cohomology of C*-algebras. 92c:46077 

Phillips, N. Christopher Five problems on operator algebras. (see 92d:00034) 

Poon, Yiu Tung Analytic triangular algebras with integer valued cocycle. (see 92d:00034) 

Poppenberg, Markus A sufficient condition of type (Q) for tame splitting of short exact 
sequences of Fréchet spaces. 92k:46007 

Porta, Horacio A. see Corach, Gustavo; et al., 92h:46068 

Power, S.C. see Davidson, Kenneth R., 92h:47058 

Raeburn, Iain see Phillips, John, 92c:46077 

Recht, L. see Corach, Gustavo; et al., 92h:46068 

Rupp, Rudolf Stable rank of finitely generated algebras. 92c:46055 

— Stable rank of holomorphic function algebras. 92¢:46058 

— Stable rank and boundary principle. 92i:46063 

Schochet, Claude see Park, Efton, 92d:46174 

Shkarin, S. A. see Kurmakaeva, E. Sh., 92b:46075 

Smith, Roger R. see Gilfeather, Frank L., 92m:47082 

Suarez, Fernando Daniel see Corach, Gustavo, 92m:46079 

Takahasi, Sin-ei An extension of Helson-Edwards theorem to Banach modules. 92¢:46105 

Tarkhanov, N. N. * Merog napameTpuHkca B TeopHH AHddepeHHasIbHbIX KOMIIJICKCOB. 
(Russian) [The parametrix method in the theory of differential complexes] 92j:58100 

Teleman, Silviu On the Dauns-Hofmann theorem. 92a:46070 

Terescenco, Alexandru A joint spectrum technique in interpolation theory. 92j:46135 

Waelbroeck, Lucien Holomorphic functions taking their values in a g-space and the Cauchy- 
Fantappié formula. 92i:46044 

Wang, Ji Chun Cohomology theory of differential operators. 924:81140 

Xia, Daoxing A note on the trace formulas for almost commuting operators. 92k:47074 

Yakovlev, N. V. see Karyaev, A. M., 92f:46060 

Ylinen, Kari Completely bounded noncommutative bimeasures and random fields. (see 
92b:00045) 

Yu, Guo Liang Cyclic cohomology and the index theory of transversely elliptic operators. 
925:58106 

Yu, Shu Mo The L!(G, A)-module homomorphism and the invariant operators from 
L?(G, A) to L?(G, X) for 1 < p < co. (Chinese) 924:46128 


46M35 Abstract interpolation of topological vector spaces 
[see also 46B70] 


Appell, Jiirgen Interpolation of noncompact nonlinear operators in integrable function 
spaces. (Italian. English summary) 92a:46092 

Asekritova, I. U. A counterexample to K-divisibility for (m + 1)-collections of Banach 
spaces. (Russian) (see 92m:46002) 

Astashkin, S. V. (with Ovchinnikov, V. I.) A functorial approach to interpolation of 
operators of weak type. (Russian) 92m:46110 

Bastero, Jestis (with Raynaud, Yves; Rezola, M. Luisa) An explicit expression for the K, 
functionals of interpolation between L? spaces. 92¢:46144 

Berezhnoi, E.1. (with Mastylo, Mieczyslaw) On Calderén-Lozanovskii construction. 
(Russian summary) 92¢:46145 

Béhm, Michael Remarks on complex interpolation of some nonlinear operators. I. 
92k:46122 

Bychkova, T.G. On the Calderén p-property of Banach couples. (Russian) (see 92m:46002) 

Cao, Wei (with Sagher, Yoram) Stability of Fredholm properties on interpolation scales. 
920:46146 

Carro, M. J. (with Cerda, Joan) Fractional powers of linear operators and complex 
interpolation. 92i:46088 

— (with Cerda, Joan) Complex interpolation and L? spaces. 92j:46134 

Cerda, Joan see Carro, M. J., 92i:46088 and 92j:46134 

Cobos, Fernando (with Peetre, Jaak) Interpolation of compact operators: the multidimen- 
sional case. 92h:46110 

Kalton, N. J. Differentials of complex interpolation processes for Kéthe function spaces. 
92m:46111 

Kouba, Omran On the interpolation of injective or projective tensor products of Banach 
spaces. 92¢:46147 

Kruglyak, N. Ya. A set of K-functionals for a fixed Banach couple. (see 92m:46004) 

Maligranda, Lech Interpolation of some spaces of Orlicz type. II. Bilinear interpolation. 
(Russian summary) 92¢:46079 

— (with Persson, Lars-Erik) The E-functional for some pairs of groups. 92h:46111 

Mastylo, Mieczyslaw Banach spaces via sublinear operators. 92g:46092 

— The Mackey completions of some interpolation F-spaces. 92g:46093 

— see also Berezhnoi, E. I., 92¢:46145 

Ovchinnikov, V.I. see Astashkin, S. V., 92m:46110 

Peetre, Jaak see Cobos, Fernando, 92h:46110 

Pelletier, Joan Wick An extension of the Aronszajn-Gagliardo theorem. 92b:46123 

Persson, Lars-Erik see Maligranda, Lech, 92h:46111 

Raynaud, Yves see Bastero, Jestis; et al., 92e:46144 

Rezola, M. Luisa see Bastero, Jestis; et al., 92¢:46144 

Sagher, Yoram see Cao, Wei, 92¢:46146 

Tabacco Vignati, Anita Some techniques for the characterization of intermediate spaces. 
92c:46080 





755 1992 


Terescenco, Alexandru A joint spectrum technique in interpolation theory. 92j:46135 


Items with secondary classifications in 46M35 

Agadzhanov, A. N. Strictly nuclear embeddings and the interpolation of Sobolev spaces of 
infinite order. (Russian) 92b:46035 

Arazy, Jonathan Operator means and networks. 924:47026 

Besov, O. V. Sobolev-Liouville and Lizorkin-Triebel spaces on a domain. (Russian) 
92b:46037 

Bloom, Steven (with Kerman, Ron) Weight structure theorems and factorization of positive 
operators. 92¢:47033 

Brown, Richard C. (with Hinton, D. B.) Weighted interpolation inequalities and embed- 
dings in R". 92c:46038 

Carothers, N. L. (with Dilworth, S. J.) Some Banach space embeddings of classical function 
spaces. 92¢:46028 

Carro, M. J. (with Cerda, Joan) On complex interpolation with an analytic functional. 
92a:46023 

Cerda, Joan see Carro, M. J., 92a:46023 

Chen, Guang Rong (with Meng, Bo Qin) Linear operator interpolation in Orlicz spaces. 
(Chinese. English summary) 

— (with Meng, Bo Qin) Interpolation properties of L,(M) spaces. (Chinese. English 
summary) 92h:46033 

Cobos, Fernando (with Kiihn, Thomas; Peetre, Jaak) Schatten-von Neumann classes of 
multilinear forms. 92m:47046 

Cwikel, Michael (with McCarthy, John E.; Wolff, Thomas H.) Interpolation between 
weighted Hardy spaces. 92m:46033 

DeVore, Ronald A. (with Yu, Xiang Ming) K-functionals for Besov spaces. 92m:46045 

Dilworth, S. J. see Carothers, N. L., 92c:46028 

Fernandez, D. L. (with Garcia, J. B.) Interpolation of Orlicz-valued function spaces and 
U.M.D. properiy. 92g:46026 

Frazier, Michael (with Jawerth, Bjérn) A discrete transform and decompositions of 
distribution spaces. 92a:46042 

— (with Jawerth, Bjérn; Weiss, Guido) * Littlewood-Paley theory and the study of function 
spaces. 92m:42021 

Garcia, J. B. see Fernandez, D. L., 92g:46026 

Garcia-Cuerva, José General endpoint results in extrapolation. 924:46074 

Ghoussoub, N. (with Maurey, B.; Schachermayer, Walter) Remarks about the interpolation 
of Radon-Nikodym operators. 92g:46017 

Grochenig, Karlheinz Describing functions: atomic decompositions versus frames. 
92m:42035 

Guidetti, Davide On interpolation with boundary conditions. 92h:46041 

Hinton, D. B. see Brown, Richard C., 92c:46038 

Iliev, Georgi L. The use of the K-functional to obtain direct and inverse theorems for shape 
preserving approximations. (Bulgarian summary) (see 92a:00041) 

Jawerth, Bjorn see Frazier, Michael, 922:46042 and 92m:42021 

Kerman, Ron see Bloom, Steven, 92c:47033 

Kislyakov, S. V. (with Xu, Quan Hua) Sur l’interpolation des espaces H?. (English 
summary) [On the interpolation of H?-spaces] 92g:46022 

Krygin, A. V. Extreme points of completely symmetric subsets in L; + L... (Russian. Uzbek 
summary) 92a:46032 

Kihn, Thomas see Cobos, Fernando; et al., 92m:47046 

Kuzin-Aleksinskii, S. A. A criterion for weak compactness of the embedding of symmetric 
spaces. (Russian) (see 92m:46002) 

Martins, Jorge A. Sampaio Real interpolation and eigenvalues of Riesz operators. 
(Portuguese) (see 92m:00049) 

Matsuoka, Katsuo Interpolation between some Banach spaces in generalized harmonic 
analysis: the real method. 92f:46025 

Maurey, B. see Ghoussoub, N.; et al., 92g:46017 

McCarthy, John E. see Cwikel, Michael; et al., 92m:46033 

Meng, Bo Qin see Chen, Guang Rong; et al., 92h:46033 

Mhaskar, H. N. The convergence of Fourier series and a K-functional. 92f:42012 

Miamee, A.G. The inclusion L?(u) C L4(v). 924:46078 

Milman, Mario Notes on interpolation of mixed norm spaces and applications. 92f:46042 

Miyazaki, Yéichi Application of interpolation spaces with a function parameter to the 
eigenvalue distribution of compact operators. 92g:47028 

Nazarov, V.I. Solvability of linear operator-differential equations in Roumieu scales 
constructed with respect to a given linear unbounded operator. (Russian) 92e:35169 

Nikolova, Lyudmila I. On the complex method of interpolation for family of Banach 
lattices, some classes of operators. 92m:46042 

Peetre, Jaak see Cobos, Fernando; et al., 92m:47046 

Pisier, Gilles A remark on IT2(/,,/,). 92j:47079 

Raynaud, Yves Some remarks on ultrapowers and superproperties of the sum and interpola- 
tion spaces of Banach spaces. 92k:46044 

Saxe, Karen Interpolation and spectra of regular L’-space operators. 92¢:47055 

Schachermayer, Walter see Ghoussoub, N.; et al., 92g:46017 

Tabacco Vignati, Anita Complex interpolation of infinite families of Hardy classes. 
92m:46036 

Tonoyan, G. A. Subspaces in general position in Banach spaces. (Russian) (see 92m:46002) 

Trigub, R.M. A formula for the K-functional of a couple of spaces of functions of several 
variables. (Russian) (see 92m:46002) 

Weiss, Guido see Frazier, Michael; et al., 92m:42021 

Weisz, Ferenc Interpolation between two-parameter martingale Hardy spaces, the real 
method. (French summary) 92m:46037 

Wolff, Thomas H. see Cwikel, Michael; et al., 92m:46033 

Xu, Quan Hua see Kislyakov, S. V., 92g:46022 

Youssfi, Abdellah Localisation des espaces de Lizorkin-Triebel homogénes. (English 
summary) [Localization of homogeneous Lizorkin-Triebel spaces] 92j:46059 

Yu, Xiang Ming see DeVore, Ronald A., 92m:46045 

Zhou, Ding Xuan Inverse theorems for some multidimensional operators. 92c:41017 

Zhu, Ke He * Operator theory in function spaces. 92c:47031 


46N Miscellaneous applications of functional analysis 


46M99 None of the above, but in this section 


Items with secondary classifications in 46M99 

Beattie, Ronald (with Butzmann, H.-P.) On the Banach-Steinhaus theorem and the 
continuity of bilinear mappings. 92h:46070 

Butzmann, H.-P. see Beattie, Ronald, 92h:46070 

Le Merdy, Christian Le théortme AAK dans les espaces de type 2. (English summary) [The 
AAK theorem in spaces of type 2] 92m:47052 

Mantlik, Frank Isomorphic classification and lifting theorems for spaces of differentiable 
functions with Lipschitz conditions. 92e:46073 

Mulvey, Christopher J. (with Pelletier, Joan Wick) A geometric characterization concerning 
compact, convex sets. 92a:46095 

Mundici, Daniele Approximately finite-dimensional C*-algebras, abelian /-groups and 
Lukasiewicz’s infinite-valued logic. 92a:46065 

Nishimura, Hirokazu Some connections between Boolean valued analysis and topological 
reduction theory for C*-algebras. 922:46066 

Paulsen, Vern I. Rigidity theorems in spaces of analytic functions. 92d:46136 

Pelletier, Joan Wick see Mulvey, Christopher J., 922:46095 


46Nxx Miscellaneous applications of functional analysis 
[see also 47Nxx] 


46N10 Applications in optimization, convex analysis, 
mathematical programming, economics 


Gémez i Urgellés, Joan Generalization of the convergence of the Moreau-Yosida regulariza- 
tion. (Spanish. English summary) (see 92m:00049) 


Items with secondary classifications in 46N10 


Aliprantis, Charalambos D. (with Brown, Donald J.; Burkinshaw, Owen) * Existence and 
optimality of competitive equilibria. 92i:90023 

— (with Burkinshaw, Owen) When is the core equivalence theorem valid? 92b:90065 

Attouch, Hédy (with Riahi, Hassan) Stability results for Ekeland’s e-variational principle 
and cone extremal solutions. (French summary) 92k:49012 

— (with Azé, D.; Beer, Gerald A.) On some inverse stability problems for the epigraphical 
sum. 92b:49021 

Averna, A. (with Cardinali, Tiziana) On the concepts of K-convexity [K-concavity] and K- 
convexity* [K-concavity*]. (Italian. English summary) 92h:26031 

Azé, D. see Attouch, Hédy; et al., 92b:49021 

Baratchart, Laurent On the topological structure of inner functions and its use in identifica- 
tion of linear systems. 92g:93038 

Beer, Gerald A. see Attouch, Hédy; et al., 92b:49021 

Besada Morais, Manuel (with Garcia Cutrin, J.; Hervés, C.) Core and equilibrium in 
economies with infinite traders and infinite commodities. (Spanish. English summary) 
(see 92m:00049) 

Bottaro Aruffo, Ada Generalizations of Nagumo conditions. (Italian. English summary) 
92c:49006 

Bougeard, Mireille (with Penot, Jean-Paul; Pommellet, Alain) Towards minimal assump- 
tions for the infimal convolution regularization. 92b:49023 

Brown, Donald J. (with Ross, Stephen A.) Spanning, valuation and options. 92g:90026 

— see also Aliprantis, Charalambos D.; et al., 92i:90023 

Burkinshaw, Owen see Aliprantis, Charalambos D., 92b:90065 and 92i:90023 

Caligaris, Ottavio Existence theorems for integral functionals with infinite valued 
integrands. (Italian summary) 92¢:49004 

Cardinali, Tiziana see Averna, A., 92h:26031 

Castaing, Charles (with Clauzure, P.) Lemme de Fatou multivoque. (English summary) [A 
multivalued Fatou lemma] 92d:28004 

Chaudhuri, A. K. (with Mukherjee, Rathindra Nath?) Application of functional analysis to 
solve certain class of constrained time optimal control problems. III. 92a:49027 

Clauzure, P. see Castaing, Charles, 92d:28004 

Dacorogna, Bernard (with Murat, Francois) On the optimality of certain Sobolev exponents 
for the weak continuity of determinants. (French summary) 92m:49019 

De Cicco, Virginia A lower semicontinuity result for functionals defined on BV(Q). 
92g:49009 

Ding, Xie Ping Maximal elements of condensing preference maps in locally convex 
Hausdorff spaces. (Chinese. English summary) 92k:90011 

Dolecki, Szymon (with Greco, Gabriele H.) Niveloides: fonctionnelles isotones commutant 
avec l’addition de constantes finies. (English summary) [Niveloids: isotone functionals 
that commute with the addition of finite constants] 92b:49024 

Ferro, F. A generalization of the Arrow-Barankin-Blackwell theorem in normed spaces. 
92¢:49017 

Florenzano, Monique Markets with countably many periods. 92h:90020 

Garcia Cutrin, J. see Besada Morais, Manuel; et al., (92m:00049) 

Goncharov, V. V. (with Tolstonogov, A. A.) Common continuous selections of multivalued 
mappings with nonconvex values, and their applications. (Russian) 92k:47099 

Granas, Andrzej Sur quelques méthodes topologiques en analyse convexe. [On some 
topological methods in convex analysis] 92e:90076 

Greco, Gabriele H. see Dolecki, Szymon, 92b:49024 

Hervés, C. see Besada Morais, Manuel; et al., (92m:00049) 

Kassay, G. (with Kolumban, I.) On a theorem of Brézis, Nirenberg and Stampacchia. 
92g:47093 

Kolumbdan, I. see Kassay, G., 92g:47093 

Kosmol, Peter * Optimierung und Approximation. (German) [Optimization and approxi- 
mation] 92m:49001 

Kounchev, Ognyan Iv. An application of the principle of topological induction to the 
extreme points theorem. 92c:46010 

Lahrache, J. Stabilité et convergence dans les espaces non réflexifs. [Stability and conver- 
gence in nonreflexive spaces] 92m:49021 





46N10 


Lal, Shiva Narain (with Mukherjee, Rathindra Nath') Some simultaneous extremum 
problems in Hilbert space. 92b:49081 

Lewicki, Grzegorz see Odyniec, Wiodzimierz P., 92a:41021 

Ma, Yi Hai see Zhang, Shi Sheng, 92k:47117 

Marchi, Silvana A Wiener type criterion for weighted quasiminima. (Italian summary) 
921:49015 

Margolis, Beatriz Quasi-differentiability: a formal approach. First and second gradient 
classes. 92e:49024 

Mehta, Ghanshyam Utility functions on preordered normed linear spaces. 92g:90032 

Mukherjee, Rathindra Nath! see Lal, Shiva Narain, 92b:49081 

Mukherjee, Rathindra Nath? see Chaudhuri, A. K., 92a:49027 

Murat, Francois see Dacorogna, Bernard, 92m:49019 

Odyniec, Wiedzimierz P. (with Lewicki, Grzegorz) * Minimal projections in Banach 
spaces. 92a:41021 

Papageorgiou, Nikolaos S. On the trajectories of controlled evolution inclusions. 92d:49007 

Papalini, Francesca The K-midpoint * convexity [concavity] and lower [upper] K- 
semicontinuity of a multifunction. (Italian. English summary) 92h:26032 

Penot, Jean-Paul see Bougeard, Mireille; et al., 92b:49023 

Pommellet, Alain see Bougeard, Mireille; et al., 92b:49023 

Riahi, Hassan see Attouch, Hédy, 92k:49012 

Ross, Stephen A. see Brown, Donald J., 92g:90026 

Simons, Stephen Another general minimax theorem. (French summary) 92k:49014 

Solov'ev, V. N. Duality of nonconvex extremal problems. (Russian) 92i:49055 

Thierfelder, Jérg Separation theorems for sets in product spaces and equivalent assertions. 
92m:46011 

— Nonvertical affine manifolds and separation theorems in product spaces. 92g:90142 

Tolstonogov, A. A. On the Scorza-Dragoni theorem for multivalued mappings with a 
variable domain. (Russian) 92f:49016 

— see also Goncharov, V. V., 92k:47099 

Xu, Hong Kun Inequalities in Banach spaces with applications. 92¢:47126 

Zhang, Shi Sheng (with Ma, Yi Hai) Generalized KKM theorem on H-space with 
applications. 92k:47117 


46N20 Applications to differential and integral equations 


Items with secondary classifications in 46N20 

Meise, Reinhold (with Taylor, B. A.; Vogt, Dietmar) Partial differential operators with 
continuous linear right inverse. 92b:46122 

Ryan, John Inner product algebras and the function theory of associated Dirac operators. 
92k:30066 

Tataru, Grigore * Elemente de teoria distributiilor cu aplicatii in mecanica. (Romanian) 
[Elements of the theory of distributions with applications to mechanics] 92m:46051 

Taylor, B. A. see Meise, Reinhold; et al., 92b:46122 

Vogt, Dietmar see Meise, Reinhold; et al., 92b:46122 


46N30 Applications in probability theory and statistics 


Sucheston, Louis (with Szab6, Laszl6 1.) A principle for almost everywhere convergence of 
multiparameter processes. 92j:46136 
Szab6, Laszlé I. see Sucheston, Louis, 92j:46136 


Items with secondary classifications in 46N30 


Badrikian, Albert * Calcul stochastique anticipatif par rapport 4 une mesure gaussi- 
enne. (French) [Anticipative stochastic calculus with respect to a Gaussian measure] 
92k:60110 

Bojdecki, Tomasz (with Gorostiza, Luis G.) Gaussian and non-Gaussian distribution- 
valued Ornstein-Uhlenbeck processes. 92m:60035 

Bomze, Immanuel M. * A functional analytic approach to statistical experiments. 
92a:62007 

Castaing, Charles (with Ezzaki, Fatima) Some convergence results for multivalued 
martingales in the limit. 92g:60065 

Ezzaki, Fatima see Castaing, Charles, 92g:60065 

Gorostiza, Luis G. see Bojdecki, Tomasz, 92m:60035 

Molnar, Lajos Two applications of the theory of weakly stationary stochastic processes to 
harmonic analysis. (Serbo-Croatian summary) 92h:60055 

Schmiidgen, Konrad Noncommutative moment problems. 92f:22030 

Starkloff, Hans-Jérg Stochastische Analoga des Satzes von Stone-WeierstraB. [Stochastic 
analogues of the Stone-Weierstrass theorem] 92i:41042 

Urbanik, Kazimierz Analytic stochastic processes. II. 92g:60090 

Weba, Michael Monotone approximation of random functions with multivariate domains 
in respect of lattice semi-norms. 92k:41027 


46N40 Applications in numerical analysis [see also 65Jxx] 


Items with secondary classifications in 46N40 

Bezhaev, A. Yu. (with Rozhenko, A. I.) Variational splines in tensor products of spaces. 
92h:41019 

Corrales Sendino, José Manuel (with Cuadrado, Ma. Luisa; Romero Martin, José L.) 
Linear approximations and interpolations of vector spaces. (Spanish. English summary) 
(see 92b:00044) 

Cuadrado, Ma. Luisa see Corrales Sendino, José Manuel; et al., (92b:00044) 

Romero Martin, José L. see Corrales Sendino, José Manuel; et al., (92b:00044) 

Rozhenko, A. I. see Bezhaev, A. Yu., 92h:41019 


Zhou, Yu Lin * Applications of discrete functional analysis to the finite difference method. 
92m:65001 


46N50 Applications in quantum physics 
Dermoune, A. Application du calcul symbolique au calcul de la loi de certains processus. 


FUNCTIONAL ANALYSIS 1992 756 


[Application of symbolic calculus to the computation of the distribution of certain 
processes] 92g:46094 

Dubin, D. A. (with Hennings, M. A.) * Quantum mechanics, algebras and distributions. 
92k:46123 

van Eijndhoven, S. J. L. see de Graaf, Jan, 92a:46093 

de Graaf, Jan (with van Eijndhoven, S. J. L.) Dirac’s formalism and functional analysis. 
92a:46093 

Hennings, M. A. see Dubin, D. A., 92k:46123 

Matveichuk, M.S. Measures on the quantum logic of subspaces of a J-space. (Russian) 
92j:46137 


Items with secondary classifications in 46N50 

Accardi, Luigi (with Frigerio, Alberto; Lu, Yun Gang) Quantum Langevin equation in the 
weak coupling limit. 92f:81067 

— (with Lu, Yun Gang) The low-density limit of quantum systems. 92¢:81111 

Barchielli, Alberto Applications of quantum stochastic calculus to quantum optics. (see 
92i:81011) 

Belavkin, V.P. A quantum nonadapted stochastic calculus and nonstationary evolution in 
Fock scale. 92m:81119 

Bogolyubov, N. N. (with Logunov, A. A.; Oksak, A. I.; Todorov, Ivan T.) * General 
principles of quantum field theory. 92h:81001 

Boutet de Monvel-Berthier, Anne-Marie (with Nenciu, Gheorghe) On the theory of 
adiabatic invariants for linear Hamiltonian systems. (French summary) 92b:81048 

Buchholz, Detlev Harmonic analysis of local operators. 92b:81098 

Carlen, Eric A. (with Loss, Michael) Competing symmetries of some functionals arising in 
mathematical physics. 92j:81338 

Daubechies, Ingrid (with Jaffard, Stéphane; Journé, Jean-Lin) A simple Wilson orthonor- 
mal basis with exponential decay. 92a:81066a 

— (with Jaffard, Stéphane; Journé, Jean-Lin) Erratum: “A simple Wilson orthonormal basis 
with exponential decay”. 92a:81066b 

Dell’Antonio, Gianfausto Gauge fixing: geometric and probabilistic aspects of Yang-Mills 
gauge theories. 92m:81147 

Demidov, E. E. Function algebras on quantum matrix supergroups. (Russian) 92d:16046 

Dermoune, A. Formule de composition pour une classe d’opérateurs. [Composition formula 
for a class of operators] 92f:81069 

Dorfmeister, G. Graphwise defined retarded distributions for an LSZ-field theory. 
92m:81178 

Dotsenko, V1.S. Solving the SU(2) conformal field theory using the Wakimoto free field 
representation. 92h:81149 

Dvuretenskij, Anatolij (with Neubrunn, Tibor; Pulmannova, Sylvia) Regular states and 
countable additivity on quantum logics. 92g:46021 

— see also Pulmannova, Sylvia, 92i:81025 

Fichtner, Karl-Heinz (with Freudenberg, W.) Remarks on stochastic calculus on the Fock 
space. 92k:81087 

Freudenberg, W. see Fichtner, Karl-Heinz, 92k:81087 

Frigerio, Alberto Time-inhomogeneous and nonlinear quantum evolutions. 92a:81089 

— see also Accardi, Luigi; et al., 92f:81067 

Gajdzinski, C. (with Streater, R. F.) Anomaly meltdown. 92j:81148 

(Gould, G. G.) see Bogolyubov, N. N.; et al., 92h:81001 

Gudder, Stanley Combined systems in quantum probability. 92e:81009 

— (with Schindler, Christian) Regular quantum Markov processes. 92a:81090 

— New formulation of quantum mechanics. 92j:81006 

Hegerfeldt, Gerhard C. An open problem in quantum shot noise. 92e:81046 

Horwitz, L. P. see Razon, Aharon, 92j:46129 and 92j:46130 

Jaffard, Stéphane see Daubechies, Ingrid; et al., 92a:81066a and 92a:81066b 

Journé, Jean-Lin see Daubechies, Ingrid; et al., 92a:81066a and 92a:81066b 

Khrennikov, A. Yu. Formulas for integration by parts for Feynman and Gaussian distribu- 
tions on superspace. (Russian) 92a:58017 

Kirillov, A. I. Two mathematical problems of canonical quantization. I. (Russian. English 
summary) 92g:81091 

Kohno, Toshitake Monodromy of braid groups in conformal field theory and positive 
Markov traces. 92¢:20027 

Kupsch, J. Functional integration for Euclidean Fermi fields. (see 92i:81006) 

Logunov, A. A. see Bogolyubov, N. N.; et al., 92h:81001 

Loss, Michael see Carlen, Eric A., 92j:81338 

Lu, Yun Gang see Accardi, Luigi, 92e:81111 and 92£:81067 

Mack, Gerhard (with Schomerus, Volker) Conformal field algebras with quantum 
symmetry from the theory of superselection sectors. 92i:81298 

Magyar, Zoltén * Continuous linear representations. 92k:22021 

Meurice, Yannick A discretization of p-adic quantum mechanics. 92d:81040 

Meyer, P.-A. Diffusions quantiques. I. Exemples élémentaires. [Quantum diffusions. I. 
Elementary examples] 92e:81114a 

— Diffusions quantiques. II. Exemples élémentaires (suite). Représentations chaotiques 
en temps continu. (Quantum diffusions. II. Elementary examples (continued). Chaotic 
representations in continuous time] 92¢:81114b 

— Diffusions quantiques. III. Théorie générale. [Quantum diffusions. III. General theory] 
92e:81114c 

Moschella, Ugo Infrared singularities and breaking of the Poincaré group: the massless 
dipole field. 92a:81107 

Nagase, Michihiro (with Umeda, Tomio) Weyl quantized Hamiltonians of relativistic 
spinless particles in magnetic fields. 92a:81030 

Nazarov, M. L. Factor-representations of the infinite spin-symmetric group. (Russian. 
English summary) 92b:20004 

Nenciu, Gheorghe see Boutet de Monvel-Berthier, Anne-Marie, 92b:81048 

Neubrunn, Tibor see Dvuretenskij, Anatolij; et al., 92g:46021 

Nielsen, Torben T. * Bose algebras: the complex and real wave representations. 92i:81003 

Oksak, A.I. see Bogolyubov, N. N.; et al., 92h:81001 

Paneitz, S.M. (with Pedersen, J.; Segal, I. E.; Zhou, Zheng-Fang) Singular operators on 
boson fields as forms on spaces of entire functions on Hilbert space. 92k:47142 





757 1992 


Parthasarathy, Kalyanapuram Rangachari (with Sinha, K. B.) Markov chains as Evans- 
Hudson diffusions in Fock space. 92a:46074 

Pedersen, J. see Paneitz, S. M.; et al., 92k:47142 

Peres, Asher Two simple proofs of the Kochen-Specker theorem. 92j:81016 

Pulmannovd, Sylvia (with Dvuretenskij, Anatolij) Sum logics and sums of unbounded 
observables. 92i:81025 

— see also Dvuretenskij, Anatolij; et al., 92g:46021 

Pusz, Wieslaw Twisted canonical anticommutation relations. 92i:81132 

Razon, Aharon (with Horwitz, L. P.) Tensor product of quaternion Hilbert modules. 
92j:46129 

— (with Horwitz, L. P.) Projection operators and states in the tensor product of quaternion 
Hilbert modules. 92j:46130 

Reményi, M. (with von Waldenfels, W.) Fluctuations of the Dicke maser. 92c:81240 

Roman, Leopoldo (with Rumbos, B.) Quantum logic revisited. 92i:03070 

Rumbos, B. see Romdn, Leopoldo, 92i:03070 

Sardanashvili,G. A. (with Zakharov, O. A.) On functional integrals in quantum field 
theory. 92j:81149 

Schindler, Christian see Gudder, Stanley, 92a:81090 

Schmitt, Thomas! Symbols alias generating functionals—a supergeometric point of view. 
92j:81344 

Schomerus, Volker see Mack, Gerhard, 92i:81298 

Schiirmann, Michael Quantum g-white noise and a q-central limit theorem. 92i:81145 

Segal, I. E. see Paneitz, S. M.; et al., 92k:47142 

Sinha, K. B. see Parthasarathy, Kalyanapuram Rangachari, 92a:46074 

Smolyanov, O. G. Infinite-dimensional distributions and second quantization in string 
theories. (see 92m:60004) 

Soibel‘man, Ya.S. see Vaksman, L. L., 92e:58021 

Streater, R. F. see Gajdzinski, C., 92j:81148 

Tkadlec, Josef Vector states on orthoposets and extremality. 92g:81017 

Todorov, Ivan T. see Bogolyubov, N. N.; et al., 92h:81001 

Umeda, Tomio see Nagase, Michihiro, 92a:81030 

Vaksman, L. L. (with Soibel/man, Ya. S.) Algebra of functions on the quantum group 
SU(n + 1), and odd-dimensional quantum spheres. (Russian) 92e:58021 

Viallet, Claude-Michel Symmetry and functional integration. (see 92m:81004) 

von Waldenfels, W. see Reményi, M., 92c:81240 

Zakharov, O. A. see Sardanashvili, G. A., 92j:81149 

Zhou, Zheng-Fang see Paneitz, S. M.; et al., 92k:47142 


46N55 Applications in statistical physics 


Items with secondary classifications in 46N55 

Boutet de Monvel-Berthier, Anne-Marie (with Georgescu, Vladimir) Graded C*-aigebras in 
the N-body problem. 92m:46085 

Carlen, Eric A. (with Loss, Michael) Competing symmetries of some functionals arising in 
mathematical physics. 92j:81338 

Frigerio, Alberto Time-inhomogeneous and nonlinear quantum evolutions. 92a:81089 

Georgescu, Vladimir see Boutet de Monvel-Berthier, Anne-Marie, 92m:46085 

Goderis, D. (with Verbeure, A.; Vets, P.) About the exactness of the linear response theory. 
924:82057 

Honegger, Reinhard Unbounded perturbations of boson equilibrium states in Fock space. 
92h:82016 

Hudetz, Thomas Dynamical entropy for infinite quantum systems. (see 92f:00011) 

Loss, Michael see Carlen, Eric A., 92j:81338 

Popov, V. N. * Functional integrals and collective excitations. 92a:82002 

Raggio, G. A. (with Werner, Reinhard F.) The Gibbs variational principle for inhomoge- 
neous mean-field systems. 92k:82008 

Verbeure, A. Equilibrium states for quantum systems and applications. 92e:82013 

— see also Goderis, D.; et al., 92d:82057 

Vets, P. see Goderis, D.; et al., 92d:82057 

Werner, Reinhard F. see Raggio, G. A., 92k:82008 


46N99 None of the above, but in this section 


Ciulli, M. (with Ciulli, S.; Spearman, T. D.) Weak-star compactness and its relevance to 
analyticity problems. 92f:46091 

Ciulli, S. see Ciulli, M.; et al., 92f:46091 

Spearman, T. D. see Ciulli, M.; et al., 92f:46091 


Items with secondary classifications in 46N99 

van-Brunt, B. (with Ockendon, J. R.) A lens focusing light at two different wavelengths. 
92m:78002 

Delvos, Franz-Jiirgen (with Schempp, Walter) * Boolean methods in interpolation and 
approximation. 92k:41003 

Jorgensen, Palle E.T. Existence of smooth solutions to the classical moment problems. 
925:44005 

Lausch, Hans (with Przeworska-Rolewicz, Danuta) Some functional equations appearing 
in algebraic analysis. (Polish summary) 92h:39014 

Nashed, M. Zuhair (with Walter, Gilbert G.) General sampling theorems for functions in 
reproducing kernel Hilbert spaces. 92h:41063 

Ockendon, J. R. see van-Brunt, B., 92m:78002 

(Pal, Jené) see Schipp, F.; et al., 92g:42001 

Prado, Humberto E. Reflection positivity for unitary representations of Lie groups. 
92£:22019 

Przeworska-Rolewicz, Danuta see Lausch, Hans, 92h:39014 

Schempp, Walter see Delvos, Franz-Jiirgen, 92k:41003 

Schipp, F. (with Wade, W. R.; Simon, Péter) * Walsh series. 92g:42001 

Simon, Péter see Schipp, F.; et al., 92g:42001 

Wade, W.R. see Schipp, F.; et al., 92g:42001 

Walter, Gilbert G. see Nashed, M. Zuhair, 92h:41063 


46S Other (nonclassical) types of functional analysis 


46S10 


Zwaan, M. Approximation of the solution to the moment problem in a Hilbert space. 
92h:44011 


46Sxx Other (nonclassical) types of functional analysis 
[see also 47Sxx] 


46S10 Functional analysis over fields other than R or C or 
the quaternions; non-Archimedean functional analysis 
[see also 12325, 32P05] 


Agayan, S. M. The structure sheaf of a Banach algebra. (Russian) 92f:46092 

Alghoussein, Ahmad On the existence of modular bounded linear functionals defined on 

_ some non-Archimedean modular spaces. 92):46138 

Alvarez Garcia, José Antonio (with Onieva, Victor Manuel) On gaps in non-Archimedean 
Banach spaces. (Spanish) (see 92g:00024) 

Araujo, Jestis (with Martinez-Maurica, Javier) The non-Archimedean Banach-Stone 
theorem. 92b:46124 

Beckenstein, Edward see Narici, Lawrence, 92f:46098 

Borrey, S. Weakly c’-compact subsets of non-Archimedean Banach spaces over a spherically 
complete field. 92f:46093 

— On the Krein-Mil’man theorem in vector spaces over a non-Archimedean valued field K. 
92a:46094 

Cuartero, Bienvenido (with Galé, José E.) Locally Pl-algebras over valued fields. (Spanish 
summary) 92h:46112 

De Grande-De Kimpe, Nicole (with Navarro, S.) Non-Archimedean nuclearity and spaces 
of continuous functions. 92h:46113 

Escassut, Alain Integrally closed algebras of analytic elements. 92f:46095 

— (with Sarmant-Durix, Marie-Claude) The equation y’ = fy in zero residue characteristic. 
921:46094 

Fernandez-Ferreirés Erviti, Pilar Maximal ideals in the non-Archimedean space C(X). 
(Spanish) 92b:46125 

Franke, Jens Besov spaces on local fields. 92b:46126 

Galé, José E. see Cuartero, Bienvenido, 92h:46112 

Garg, S. K. see Narang, T. D., 92c:46081 

Grzybowski, Jerzy On F-quasinorms in vector spaces over a locally compact field with 
valuation. (Russian summary) 924:46183 

— A note on (s, t)-convex modulars. 92g:46095 

Katsaras, A. K. (with Martinez-Maurica, Javier) Kolmogorov diameters and orthogonality 
in non-Archimedean normed spaces. 92k:46124 

— c-ultrabornological spaces and spaces of continuous non-Archimedean valued functions. 
(Serbo-Croatian summary) 924:46184 

— Non-Archimedean K6the sequence spaces. (Italian summary) 92k:46125 

Khrennikov, A. Yu. Generalized functions and Gaussian path integrals over non- 
Archimedean function spaces. (Russian) 92j:46139 

Medrecki, Andrzej Minlos’ theorem in non-Archimedean locally convex spaces. 92f:46096 

— Some negative results on existence of Sazonov topology in /-adic Fréchet spaces. 
92£:46097 

Maity, A. K. On semilinear tensor product. 92i:46089 

Martinez-Maurica, Javier (with Navarro, S.) p-adic Ascoli theorems. 92¢:46148 

— see also Araujo, Jestis, 92b:46124 and Katsaras, A. K., 92k:46124 

Narang, T. D. (with Garg, S. K.) Farthest points in ultrametric spaces. 92c:46081 

Narici, Lawrence (with Beckenstein, Edward) On non-Archimedean analysis. 92f:46098 

Natarajan, P. N. On the core of a sequence over valued fields. 92e:46149 

— Criterion for regular matrices in non-Archimedean fields. 92m:46112 

Navarro, S. see Martinez-Maurica, Javier, 92e:46148 and De Grande-De Kimpe, Nicole, 
92h:46113 

Onieva, Victor Manuel see Alvarez Garcia, José Antonio, (92g:00024) 

Pombo, Dinamérico P., Jr. A note on infrabarrelled locally K-convex spaces. 92i:46090 

van Rooij, A.C. M. (with Schikhof, Wim H.) Open problems. (see 92m:46005) 

Sarmant-Durix, Marie-Claude see Escassut, Alain, 92f:46094 

Schikhof, Wim H. The complementation property of /°° in p-adic Banach spaces. 
92c:46082 

— p-adic almost periodic functions. 924:46185 

— The p-adic bounded weak topologies. 92j:46140 

— see also van Rooij, A. C. M., (92m:46005) 


Items with secondary classifications in 46S10 

(Bayod, José Manuel) see p-adic functional analysis, 92m:46005 

(De Grande-De Kimpe, Nicole) see p-adic functional analysis, 92m:46005 

Karlowski, Reinhard (with Ulirich, Peter) A Tate-theoretic view of Krasner’s non- 
Archimedean function theory. 92b:12016 

Khrennikov, A. Yu. Representation of second quantization over non-Archimedean number 
fields. (Russian) 92f:81221 

— Quantum mechanics over Galois extensions of number fields. (Russian) 92h:81081 

— p-adic quantum mechanics with p-adic valued functions. 92a:81046 

— Real non-Archimedean structure of space-time. (Russian. English summary) 92m:11136 

Leung, C. W. (with Plymen, Roger J.) L?-Fourier transform for reductive p-adic groups. 
92g:22015 

— see also Plymen, Roger J., 92g:22016 

Makhaldiani, N. * O p-anwueckol peryapu3allMu B KBaHTOBOM TeopHH Nona. (Russian) [On 
p-adic regularization in quantum field theory] 92g:81131 

(Martinez-Maurica, Javier) see p-adic functional analysis, 92m:46005 

Meurice, Yannick A discretization of p-adic quantum mechanics. 924:81040 

Nakamura, Touru A nonstandard representation of Feynman’s path integrals. 92a:81103 

Plymen, Roger J. (with Leung, C. W.) Arithmetic aspect of operator algebras. 92g:22016 

— see also Leung, C. W., 92g:22015 





46S10 


Pospelov, A. S. Eigenfunctions of a p-adic and a discrete Fourier transform. (Russian. 
English summary) 92f:43013 

Shapiro, M. V. Structure of the quaternionic modules and some properties of the involutive 
operators. 92m:30090 

Ullrich, Peter see Karlowski, Reinhard, 92b:12016 

Zelenov, E.1. p-adic path integrals. 92a:81104 


Items listed otherwise than by author 


Conference: 

p-adic Functional Analysis * p-adic functional analysis. 92m:46005 
Laredo * p-adic functional analysis. 92m:46005 
p-adic functional analysis * p-adic functional analysis. 92m:46005 


46S20 Nonstandard functional analysis [see also 03H05] 


Canela, M. A. (with Rallé, M.) Representation of linear functionals on E’ as finite elements 
of *Ew. (Italian summary) 92g:46096 

Povolotskii, A. I. (with Sviridyuk, G. A.) Some nonstandard structures in normed vector 
spaces. (Russian) (see 92g:47001) 

Rallé, M. see Canela, M. A., 92¢:46096 

Sviridyuk, G. A. see Povolotskii, A. I., (92g:47001) 


Items with secondary classifications in 46S20 

Bayod, José Manuel (with Masa, M. Concepcién) Chebyshev coefficients for L'-preduals 
and for spaces with the extension property. 92b:46018 

Burgin, M.S. Hypermeasures and hyperintegration. (Russian. English summary) 
92a:46052 

Gordon, E.I. Nonstandard analysis and compact abelian groups. (Russian) 92m:22002 

Hoskins, Roy Frank (with de Sousa Pinto, J.) A nonstandard realization of the J. S. Silva 
axiomatic theory of distributions. 92j:46066 

Kudrik, T.S. (with Lyantse, V. E.) Near-standardness. (Russian) 92i:03072 

Kusraev, A.G. (with Malyugin, S. A.) On the extension of finitely additive vector measures. 
(Russian) 92g:28023 

Lyantse, V. E. see Kudrik, T. S., 92i:03072 

Malyugin, S. A. see Kusraev, A. G., 92g:28023 

Masa, M. Concepcién see Bayod, José Manuel, 92b:46018 

Osswald, Horst (with Sun, Yeneng) On the extensions of vector-valued Loeb measures. 
92g:28041 

Pestov, V.G. Nonstandard hulls of normed Grassmann algebras and their applications in 
superanalysis. (Russian) 92f:58020 

de Sousa Pinto, J. see Hoskins, Roy Frank, 92j:46066 

Sun, Yeneng see Osswald, Horst, 92g:28041 

Todorov, Todor D. Pointwise kernels of Schwartz distributions. 92f:46047 


46S30 Constructive functional analysis [see also 03F65] 


Ishihara, Hajime Constructive existence of Minkowski functionals. 92k:46126 

Mulvey, Christopher J. (with Pelletier, Joan Wick) A geometric characterization concerning 
compact, convex sets. 92a:46095 

Pelletier, Joan Wick see Mulvey, Christopher J., 92a:46095 


Items with secondary classifications in 46S30 


Ishihara, Hajime Continuity and nondiscontinuity in constructive mathematics. 
92m:03096 


46S40 Fuzzy functional analysis [see also 04A72] 


Bravo de la Parra, Rafael see Burillo Lépez, Pedro J.; et al., (92b:00044) 

Burillo Lépez, Pedro J. (with Bravo de la Parra, Rafael; Salvador Alcaide, Adela) 7T-fuzzy 
vector subspace generated by a fuzzy set. (Spanish. English summary) (see 92b:00044) 

Diamond, Phil Congruence classes of fuzzy sets form a Banach space. 92m:46113 

El-Abyad, Abdelwahab M. (with El-Hamouly, Hassan M.) Fuzzy inner product spaces. 
92k:46127 

El-Hamouly, Hassan M. see El-Abyad, Abdelwahab M., 92k:46127 

Krishna, S. V. (with Sarma, K. K. M.) Fuzzy topological vector spaces—topological 
generation and normability. 92f:46099 

Salvador Alcaide, Adela see Burillo Lépez, Pedro J.; et al., (92b:00044) 

Sarma, K. K. M. see Krishna, S. V., 92£:46099 

Zeng, Huan Liang A note on fuzzy topological linear spaces. (Chinese. English summary) 
92b:46127 


Items with secondary classifications in 46S40 

Ban, J. A remark on the metric structure of the space of integrably bounded fuzzy variables. 
(Russian and Slovak summaries) 92g:60007 

Butnariu, Dan (with Klement, Erich Peter) Triangular norm-based measures and their 
Markov kernel representation. 92i:28024 

Jin, Cong see Wu, Cong Xin; et al., 92h:46062 

Katsaras, A. K. Completeness in linear fuzzy neighborhood spaces. 92b:54012 

Klement, Erich Peter see Butnariu, Dan, 92i:28024 

Wa, Cong Xin (with Jin, Cong) Differentiation of operators on fuzzy normed spaces. 
(Chinese. English summary) 92h:46062 


46S50 Functional analysis in probabilistic metric linear spaces 


Bravo de la Parra, Rafael see Burillo Lépez, Pedro J.; et al., (92b:00044) 

Burillo Lépez, Pedro J. (with Bravo de la Parra, Rafael; Salvador Alcaide, Adela) Predomi- 
nance relation in generalized triangular norms and conorms. (Spanish. English summary) 
(see 92b:00044) 

Constantin, Gheorghe (with Istratescu, loana) * Elements of probabilistic analysis with 
applications. 92g:46097 


FUNCTIONAL ANALYSIS 


(Giurgiutiu, Victor) see Constantin, Gheorghe, 92g:46097 

Gong, Huai Yun (with Li, Tian) Local boundedness in probabilistic normed spaces. 
(Chinese. English summary) 92i:46091 

Istratescu, Ioana see Constantin, Gheorghe, 92g:46097 

Li, Tian see Gong, Huai Yun; et al., 92i:46091 

Salvador Alcaide, Adela see Burillo Lépez, Pedro J.; et al., (92b:00044) 

Su, Yong Fu The Hahn-Banach theorem for a class of linear functionals in probabilistic 
normed spaces and its applications. (Chinese. English summary) 92h:46114 

Sultanbekov, F. F. Multiplicative inequalities for random norms. (Russian) 92f:46100 

Yan, Ge Xing Completion of linear (completely) continuous operator spaces in locally 
bounded Menger probabilistic normed spaces. (Chinese. English summary) 92f:46101 

Zhang, Yi Min? Quotient spaces of probabilistic normed linear spaces. (Chinese. English 
summary) 92j:46141 


Items with secondary classifications in 46S50 

Che, Su Bing The theory and applications of generalized H-space. (Chinese. English 
summary) 

Fernandez Esteller, Rosa Ma. On generalized inner product spaces. (Spanish) (see 
92g:00024) 

— Products of generalized normed spaces. (Spanish. English summary) (see 92m:00049) 


46S99 None of the above, but in this section 


Items with secondary classifications in 46S99 

Kusraev, A. G. On the structure of vector measures and complete Boolean algebras. 
(Russian) 92k:28020 

Madden, James J. Frames associated with an abelian /-group. 92g:06028 

Todd, Aaron R. Covers by linear subspaces. 92a:15002 


47-XX Operator theory 


47-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Items with secondary classifications in 47-01 

(Artola, Michel) see Dautray, Robert, 92k:00006 

Aupetit, Bernard * A primer on spectral theory. 92¢:46001 

Boccara, Nino * Functional analysis. 92b:00002 

Bollobas, Béla * Linear analysis. 92a:46001 

Castillo, Jestis M. F. Sequences, operators and tensors. 92a:46002 

(Cessenat, Michel) see Dautray, Robert, 92k:00006 

(Craig, Alan W.) see Dautray, Robert, 92k:00006 

Dautray, Robert (with Lions, Jacques-Louis) * Mathematical analysis and numerical 
methods for science and technology. Vol. 5. 92k:00006 

Fomin, S. V. see Kolmogorov, A. N., 92¢:46001 

Friedman, Bernard * Lectures on applications-oriented mathematics. 92a:00005 

(Helle, Renate) see Smirnov, Vladimir Ivanovich, 92i:00005 

Holland, Samuel S., Jr. * Applied analysis by the Hilbert space method. 92a:00007 

Kadison, Richard V. (with Ringrose, John R.) * Fundamentals of the theory of operator 
algebras. Vol. III. 92m:46084 

Kolmogorov, A. N. (with Fomin, S. V.) %* Mabadi’ nazhariyah al-dawal wa-al-tahlil al-riyadi 
al-dali. (Arabic) [The theoretical fundamentals of functions and mathematical functional 
analysis] 92e:46001 

(Kuczma, Marcin E.) see Mlak, Wiodzimierz, 92m:46001 

(Lanchon, Hélene) see Dautray, Robert, 92k:00006 

Lions, Jacques-Louis see Dautray, Robert, 92k:00006 

(Mai, Brigitte) see Smirnov, Viadimir Ivanovich, 92i:00005 

Maté, Laszlé6 * Hilbert space methods in science and engineering. 92¢:46002 

Mlak, Wiodzimierz * Hilbert spaces and operator theory. 92m:46001 

Ringrose, John R. see Kadison, Richard V., 92m:46084 

Rudin, Walter * Functional analysis. 92k:46001 

(Shishah, Ibrahim Mahmiid) see Kolmogorov, A. N., 92e:46001 

Smirnov, Viadimir Ivanovich * Lehrgang der héheren Mathematik. Teil V. (German) 
[Course in higher mathematics. Part V] 92i:00005 

Storch, Uwe (with Wiebe, Hartmut) * Lehrbuch der Mathematik fiir Mathematiker, Infor- 
matiker und Physiker. Band II. (German) [Textbook of mathematics for mathematicians, 
information scientists and physicists. Vol. II] 92k:00013 

(Twersky, Victor) see Friedman, Bernard, 92a:00005 

Wiebe, Hartmut see Storch, Uwe, 92k:00013 


47-02 Research exposition (monographs, survey articles) 


Bottcher, Albrecht (with Silbermann, Bernd) * Analysis of Toeplitz operators. 92e:47001 

Carl, Bernd (with Stephani, Irmtraud) * Entropy, compactness and the approximation of 
operators. 92e:47002 

Curto, Rail E. Problems in multivariable operator theory. 92f:47001 

Herrero, Domingo A. Triangular operators. 92k:47001 

Silbermann, Bernd see Béttcher, Albrecht, 92e:47001 

Stephani, Irmtraud see Carl, Bernd, 92e:47002 


Items with secondary classifications in 47-02 


Ahmed, N. U. * Semigroup theory with applications to systems and control. 92¢:47069 
Aiena, Pietro Riesz operators and perturbation ideals. 92e:47026 





759 1992 


Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) * Interpolation of rational matrix 
functions. 92m:47027 

Carl, Bernd Entropy and n-widths of operators in Banach spaces. 92k:47040 

Conway, John B. * The theory of subnormal operators. 92h:47026 

Foias, Ciprian (with Frazho, Arthur E.) * The commutant lifting approach to interpolation 
problems. 92k:47033 

Frazho, Arthur E. see Foias, Ciprian, 92k:47033 

Goebel, Kazimierz (with Kirk, W. A.) * Topics in metric fixed point theory. 92c:47070 

Gohberg, Israel see Ball, Joseph A.; et al., 92m:47027 

Kadison, Richard V. Triangular algebras—another chapter. 92h:47059 

Kirk, W. A. see Goebel, Kazimierz, 92c:47070 

Nelson, James L. (with Singh, K. L.; Whitfield, J. H. M.) Normal structures and nonexpan- 
sive mappings in Banach spaces. 92¢:47099 

Rao, M. M. (with Ren, Chong Dao) * Theory of Orlicz spaces. 92¢:46059 

Ren, Chong Dao see Rao, M. M., 92e:46059 

Rodman, Leiba see Ball, Joseph A.; et al., 92m:47027 

Salinas, Norberto Applications of C*-algebras and operator theory to proper holomorphic 
mappings. 92e:47054 

Sen, Dilip Kumar On Hermitian operators on Banach spaces (general survey). 92h:47050 

Simon, Barry Fifty years of eigenvalue perturbation theory. 92b:47018 

Singh, K. L. see Nelson, James L.; et al., 92e:47099 

Whitfield, J. H.M. see Nelson, James L.; et al., 92e:47099 

Zhu, Ke He * Operator theory in function spaces. 92¢:47031 


47-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Axler, Sheldon Paul Halmos and Toeplitz operators. (see 92m:01044) 
Conway, John B. Paul Halmos and the progress of operator theory. (see 92m:01044) 
(Halmos, Paul R.) see Conway, John B., (92m:01044) and Axler, Sheldon, (92m:01044) 


Items with secondary classifications in 47-03 

Drijevi¢é, Hamid On the representation of functionals and the stability of mappings in 
Hilbert and Banach spaces. 92h:46001 

Halmos, Paul R. * Matrices I have met. 92e:15002 

Hilbert, David (with Schmidt, Erhard) * Integralgleichungen und Gleichungen mit 
unendlich vielen Unbekannten. (German) [Integral equations and equations with 
infinitely many unknowns] 92b:01081 

Martins, Jorge A. Sampaio Real interpolation and eigenvalues of Riesz operators. 
(Portuguese) (see 92m:00049) 

(Pietsch, Albrecht) see Hilbert, David, 92b:01081 

Rosenthal, Peter M. Equivalents of the invariant subspace problem. (see 92m:01044) 

Schmidt, Erhard see Hilbert, David, 92b:01081 


47-06 Proceedings, conferences, collections, etc. 


(Clément, Philippe P.) see Semigroup theory and evolution equations, 92m:47001 
(Gohberg, Israel) see Extension and interpolation of linear operators and matrix functions, 
924:47002 
(Mitidieri, Enzo) see Semigroup theory and evolution equations, 92m:47001 
(de Pagter, Ben) see Semigroup theory and evolution equations, 92m:47001 
(Shtraus, A. V.) see Functional analysis, 92g:47001 and 92g:47002 
Items listed otherwise than by author 
Applications of operator theory to real analysis; operator theory and related topics * Saydso 
ron no jitsu kaisekiteki Syd; saydso ron to sono shOhen. (Japanese) [Applications of 
operator theory to real analysis; operator theory and related topics] 92d:47001 
Conference: 
Semigroup Theory and Evolution Equations * Semigroup theory and evolution equations. 
92m:47001 
Delft * Semigroup theory and evolution equations. 92m:47001 
Extension and interpolation of linear operators and matrix functions * Extension and 
interpolation of linear operators and matrix functions. 92d:47002 
Functional analysis * ®yHxqnonanbubih ananu3. Baim. 27. (Russian) [Functional analysis. 
No. 27] 92g:47001 
— & DyxkunonanbHbii anann3. Bem. 28. (Russian) [Functional analysis. No. 28] 92g:47002 
Mathematical analysis * Mathematical analysis. Vol. 26. 92e:47003 
Semigroup theory and evolution equations * Semigroup theory and evolution equations. 
92m:47001 
Symposium: 
Applications of Operator Theory to Real Analysis; Operator Theory and Related Topics 
%* Saydso ron no jitsu kaisekiteki Sy6; saydso ron to sono shahen. (Japanese) [Applica- 
tions of operator theory to real analysis; operator theory and related topics] 92d:47001 


Items with secondary classifications in 47-06 

(Baillon, Jean-Bernard) see Fixed point theory and applications, 92b:00040 

(Bart, H.) see Topics in matrix and operator theory, 92a:00042 

(Bierstedt, Klaus-D.) see Progress in functional analysis, 92i:46002 

(Bonet, José) see Progress in functional analysis, 92i:46002 

(Doran, Robert S.) see Selfadjoint and nonselfadjoint operator algebras and operator theory, 
92d:00034 

(Exner, Pavel) see Order, disorder and chaos in quantum systems, 92c:00015 

(Gindikin, S.G.) see Spectral theory of operators, 92m:00059 

(Gohberg, Israel) see Topics in matrix and operator theory, 92a:00042 

(Horvath, John) see Progress in functional analysis, 92i:46002 

(Ivanov, Simeon) see Spectral theory of operators, 92m:00059 

(Kaashoek, M.A.) see Topics in matrix and operator theory, 92a:00042 

(Koshi, Shozo) see Functional analysis & related topics, 92h:00024 

(Maestre, Manuel) see Progress in functional analysis, 92i:46002 

(Neidhardt, Hagen) see Order, disorder and chaos in quantum systems, 92c:00015 


OPERATOR THEORY 


(Odell, E.) see Functional analysis, 92d:46002 
(Rosenthal, Haskell Paul) see Functional analysis, 92d:46002 
(Théra, Michel) see Fixed point theory and applications, 92b:00040 
(Valdivia, Manuel) see Progress in functional analysis, 92i:46002 
Items listed otherwise than by author 
American Mathematical Society Translations, Series 2. * Spectral theory of operators. 
92m:00059 
Austin, TX * Functional analysis. 92d:46002 
Birthday: 
Valdivia, Manuel * Progress in functional analysis. 92i:46002 
Conference: 
Fixed Point Theory and Applications * Fixed point theory and applications. 92b:00040 
Order, Disorder and Chaos in Quantum Systems * Order, disorder and chaos in quantum 
systems. 92c:00015 
Selfadjoint and N Operator Algebras and Operator Theory * Selfadjoint and 
nonselfadjoint operator algebras and operator theory. 92d:00034 
Contemporary Mathematics * Selfadjoint and nonselfadjoint operator algebras and 
operator theory. 92d:00034 
Dubna * Order, disorder and chaos in quantum systems. 92c:00015 
Fixed point theory and applications * Fixed point theory and applications. 92b:00040 
Fort Worth, TX * Selfadjoint and nonselfadjoint operator algebras and operator theory. 
92d:00034 
Functional analysis * Functional analysis. 92d:46002 
Functional analysis & related topics * Functional analysis & related topics. 92h:00024 
Lecture Notes in Mathematics * Functional analysis. 924:46002 
Marseille * Fixed point theory and applications. 92b:00040 
Meeting: 
Functional Analysis * Progress in functional analysis. 92i:46002 
Novgorod * Spectral theory of operators. 92m:00059 
Order, disorder and chaos in quantum systems * Order, disorder and chaos in quantum 
systems. 92c:00015 
Peiiiscola * Progress in functional analysis. 92i:46002 
Progress in functional analysis * Progress in functional analysis. 92i:46002 
Rotterdam * Topics in matrix and operator theory. 92a:00042 
Sapporo * Functional analysis & related topics. 92h:00024 
School: 
Operators in Functional Spaces * Spectral theory of operators. 92m:00059 
Selfadjoint and nonselfadjoint operator algebras and operator theory * Selfadjoint and 
nonselfadjoint operator algebras and operator theory. 924:00034 
Seminar: 
Functional Analysis * Functional analysis. 924:46002 
Spectral theory of operators * Spectral theory of operators. 92m:00059 
Symposium: 
Functional Analysis and Related Topics * Functional analysis & related topics. 
92h:00024 
Topics in matrix and operator theory * Topics in matrix and operator theory. 92a:00042 
Workshop: 
Matrix and Operator Theory * Topics in matrix and operator theory. 92a:00042 


47Axx General theory of linear operators 


Nair, M. Thamban Approximation of spectral sets and spectral subspaces in Banach spaces. 
92b:47001 


Items with secondary classifications in 47Axx 

Allakhverdiev, B. P. see Maksudov, F. G.; et al., 92a:47036 

Bairamov, E. M. see Maksudov, F. G.; et al., 922:47036 

Karadzhov, Georgi E. Spectral asymptotics for Toeplitz matrices generated by the Poisson- 
Charlier polynomials. 

Maksudov, F. G. (with Allakhverdiev, B. P.; Bairamov, E. M.) On the spectral theory of a 
nonselfadjoint operator generated by an infinite Jacobi matrix. (Russian) 92a:47036 


47A05 General (adjoints, conjugates, products, inverses, domains, 
ranges, etc.) 


Andrew, A. D. (with Patterson, W. M.) Range inclusion and factorization of operators on 
classical Banach spaces. 92a:47001 

Andrew, Paul Quasi-inverse forms and extended operators. 92m:47002 

Binderman, Zbigniew Complex R-shifts for right invertible operators. 92j:47001 

Bruk, V. M. Invertible restrictions of closed operators in Banach spaces. (Russian) 
92h:47001 

Buraczewski, Adam Generalization of formulae of Fredholm type and determinant theory 
for rectangular matrices. 92m:47003 

Burlando, Laura (with Harte, Robin) On the closure of the invertibles. 92¢:47004 

Cross, R. W. Adjoints of non-densely defined linear operators. 92b:47002 

Fel’dman, I. A. Compatibility of a pair of projectors in a Banach space. (Russian) 
92m:47004 

Gonzalez, Manuel Properties and applications of Tauberian operators. 92k:47002 

Harte, Robin Taylor exactness and the Apostol jump. 92¢:47005 

— Eine Kleine Gapmusik. 92k:47003 

— see also Burlando, Laura, 92e:47004 

Holub, James R. A note on best approximation and invertibility of operators on uniformly 
convex Banach spaces. 924:47003 

Karwowski, W. Z. (with Przeworska-Rolewicz, Danuta) Green operators for linear 
boundary value problems with a right invertible operator D". 92j:47009 

Khadivi, Mohammad Range inclusion and the UUP-property. 92i:47001 

Kim, Yong Tae (with Lee, Woo Young; Lee, Hae Jin) Almost invertibility modulo closed 
ideals. 92j:47002 








47A05 


Labrousse, Jean-Philippe Inverses généralisés d’opérateurs non bornés. (English summary) 
[Generalized inverses of unbounded operators] 92h:47002 

Labuschagne, L. E. Characterisations of partially continuous, strictly cosingular and g_ 
type operators. 92f:47002 

— On the minimum modulus of an arbitrary linear operator. 92b:47003 

Lando, Yu. K. Restrictions of an operator by orthogonality conditions imposed on its graph. 
(Russian) 92g:47003 

Lee, Hae Jin see Kim, Yong Tae; et al., 92j:47002 

Lee, Sung J. (with Nashed, M. Zuhair) Normed linear relations: domain decomposability, 
adjoint subspaces, and selections. 92h:47003 

Lee, Woo Young see Kim, Yong Tae; et al., 92j:47002 

Martin Peinador, Elena see Rodés-Usan, Alvaro Angel, (92g:00024) 

Medkovaé, Dagmar On the convergence of Neumann series for noncompact operators. 
92g:47004 

Mieloszyk, Eligiusz Iteration of some integral T,,,. 92m:47005 

Nashed, M. Zuhair see Lee, Sung J., 92h:47003 

Nguyén Van Mau On ill-determined equations in right invertible operator of order one in 
noncommutative case. 92j:47003 

— Characterization of Volterra right inverses. (Polish summary) 92j:47004 

— Characterization of polynomials in algebraic elements with commutative coefficients and 
its applications. (Polish summary) 92k:47004 

— Conditions for polynomials in right inverses with stationary and algebraic coefficients to 
be Volterra operators. 92j:47005 

Oinarov, R.O. Correctly solvable compressions of a linear operator in a Banach space. 
(Russian. English and Kazakh summaries) 92j:47006 

— (with Parasidi, I. N.) A criterion for the existence of a conjugate problem in a Banach 
space. (Russian) 92k:47005 

Olevskii, Victor A note on the Banach-Steinhaus theorem. 92m:47006 

Siileyman (with Yurdakul, M.) A note on strictly singular operators. (Turkish 

summary) 92¢:47001 

Parasidi, I. N. see Oinarov, R. O., 92k:47005 

Patterson, W. M. see Andrew, A. D., 92a:47001 

Przeworska-Rolewicz, Danuta Remarks on multipliers for right inverses in D-algebras. 
925:47007 

— (with Rolewicz, S.) On the spectrum of right inverses. 92j:47008 

— Advantages of one-dimensional kernels. 92j:47010 

— see also Karwowski, W. Z., 92j:47009 

Rodés-Usan, Alvaro Angel (with Martin Peinador, Elena) Classification of operators in a 
Hilbert space through images of orthonormal systems. (see 92g:00024) 

Rolewicz, S. see Przeworska-Rolewicz, Danuta, 92j:47008 

Rosca, loan On the BabuSka Lax-Milgram theorem. 92h:47004 

Steinig, Bernhard On the essential maximality of linear operators in a Hilbert space. 
92j:47011 

Vii Quoc Phong A short proof of the Y. Katznelson’s and L. Tzafriri’s theorem. 92j:47012 

Wang, Wen Yuan (with Yuan, Dong Jing) A proof of a theorem in Hilbert spaces and its 
applications. (Chinese. English summary) 92j:47013 

Wang, Yu Wen The generalized inverse operators in Banach spaces. (Russian summary) 
92j:47014 

Wong, M. W. Minimal and maximal operator theory with applications. 92f:47003 

Yan, Zi Kun Linear correlations of operators and their application. (Chinese) 

Yuan, Dong Jing see Wang, Wen Yuan; et al., 92j:47013 

Yurdakul, M. see Onal, Siileyman, 92c:47001 

Zhang, Chun see Zhang, Yi Ming; et al., 92c:47002 

Zhang, Yi Ming (with Zhang, Chun) States and state diagrams of operators. (Chinese. 
English summary) 92¢:47002 


Items with secondary classifications in 47A05 


Alaarabiou, El Hachem Calcul fonctionnel et puissance fractionnaire d’opérateurs linéaires 
multivoques non négatifs. (English summary) [Functional calculus and fractional power 
of multivalued nonnegative linear operators] 92k:47035 

Alvarez Garcia, José Antonio (with Onieva, Victor Manuel) On gaps in non-Archimedean 
Banach spaces. (Spanish) (see 92g:00024) 

Aslanov, V. D. (with Karlovich, Yu. I.) One-sided invertibility of functional operators in 
reflexive Orlicz spaces. (Russian. English and Azerbaijani summaries) 92i:47031 

Boichuk, A. A. (with Zhuravlév, V. F.) Construction of solutions of linear Noetherian 
operator equations in Hilbert spaces. (Russian. English summary) 92g:47012 

Campbell, Stephen L. (with Meyer, C. D., Jr.) %* Generalized inverses of linear transforma- 
tions. 92a:15003 

Chang, Xiao Wen see Wang, Jia Song; et al., 92j:15001 

Cobzas, $. On the Schauder’s theorem on the compactness of the conjugate mapping. (see 
92m:00032) 

Epifanov, O. V. On the existence of a continuous right inverse for an operator in a class of 
locally convex spaces. (Russian) 92m:46009 

Garcia Castellén, Felicisimo Compacité et position relative dans les espaces de Banach. 
(English summary) [Compactness and relative position in Banach spaces] 924:46027 

Gonzalez, Manuel (with Martinén, Antonio; Onieva, Victor Manuel) A note on perturba- 
tions of Atkinson operators. (see 92g:00024) 

— (with Martinon, Antonio) On the generalized Sadovskii functor. 92j:47084 

Grigorieff, Rolf Dieter Note on von Neumann’s trace inequality. 92h:47024 

Hatickowiak, J. An algebraic analysis of coupled equations for N-point functions. 
92e:81129 

Harte, Robin The ghost of an index theorem. 92j:47029 

Hernandez Rodriguez, Francisco L. Disjointly strictly-singular operators in Banach lattices. 
92i:47038 

Ivanovski, Novak (with Orovéanec, Marija) On similarity and quasisimilarity of unilateral 
operator valued weighted shifts. (Macedonian summary) 92k:47055 

Kachurovskii, A.G. Boundedness of the fluctuation of mean sequences in the ergodic 
Birkhoff-Khinchin theorem. (Russian) 92c:28012 


Kgakol, Jerzy On some dense compact operator range subspaces in separable Fréchet spaces. 
924:46003 


OPERATOR THEORY 1992 760 


Kalfat, Abderrahim Remarks on Volterra right inverses for weighted difference operator of 
high degree. 92j:47057 

Kan, Charn-Huen Norming vectors of linear operators between L, spaces. 92h:47038 

Karlovich, Yu. I. see Aslanov, V. D., 92i:47031 

Kurbatov, V.G. The inverse to a c-continuous operator. (Russian) 92¢:47037 

Lausch, Hans (with Przeworska-Rolewicz, Danuta) Some functional equations appearing 
in algebraic analysis. (Polish summary) 92h:39014 

Li, Ke Xiu see Wu, Cong Xin; et al., 924:47096 

Li, Rong La (with Swartz, Charles) Equicontinuity and uniform boundedness. (Italian 
summary) 92j:46028 

Li, Shao Kuan Some problems about elementary operators. II. (Chinese) 92k:47011 

Ma, Ming see Wu, Cong Xin; et al., 92d:47096 

Martinén, Antonio see Gonzalez, Manuel, 92j:47084 and (92g:00024) 

Meyer, C. D., Jr. see Campbell, Stephen L., 92a:15003 

Miyazaki, Yéichi Domains of square roots of regularly accretive operators. 92¢:47045 

Noll, Dominikus Strict singularity of inclusion operators between y-spaces and Meyer-K6nig 
Zeller type theorems. 92b:46025 

Onieva, Victor Manuel see Alvarez Garcia, José Antonio, (92g:00024) and Gonz4lez, Manuel; 
et al., (92g:00024) 

Orovéanec, Marija see Ivanovski, Novak, 92k:47055 

Pap, Endre (with Swartz, Charles) On the closed graph theorems. 92b:46009 

Pilidi, V.S. Criteria for the uniform invertibility of regular approximations of one- 
dimensional singular integral operators with piecewise-continuous coefficients. (Russian) 
92b:47077 

Przeworska-Rolewicz, Danuta Commutators with right invertible operators. 92j:47055 

— see also Lausch, Hans, 92h:39014 

Ricker, Werner J. Kakutani’s example on product spectral measures. 92h:47049 

Schellhorn, Jean-Pierre Generalized inverses and generalized convexity. 92¢:44008 

Stein, J. D., Jr. Partial pointwise-bounded and an argument of Ptak. 92j:46038 

Swartz, Charles see Pap, Endre, 92b:46009 and Li, Rong Lu, 92j:46028 

Wang, Jia Song (with Chang, Xiao Wen) Some notes on the generalized inverse under the 
L, norm. (Chinese summary) 92j:15001 

Wa, Cong Xin (with Ma, Ming; Li, Ke Xiu) Continuity and boundedness of operators on 
fuzzy normed spaces. (Chinese. English summary) 924:47096 

Yakushev, V. L. Dissipativity properties of linear-fractional contraction mappings: a 
“geometric” approach. (Russian) 92g:47050 

Yang, Bin? Sequential continuity of closed operators and sequential convergence in the 
weak topology. (Chinese. English summary) 92b:46010 

Zhang, Shao Hua The structures of a class of operators and its topological properties. 
(Chinese) 92m:47022 

Zhuraviév, V.F. see Boichuk, A. A., 92g:47012 





47A10 Spectrum, resolvent 


Abdelmalek, Ouahab (with Mostafa, Mbekhta) Contribution a la théorie spectrale 
généralisée dans les espaces de Banach. (English summary) [A contribution to general 
spectral theory in Banach spaces] 92h:47005 

Agler, J. (with Franks, E.; Herrero, Domingo A.) Spectral pictures of operators quasisimi- 
lar to the unilateral shift. 92m:47007 

Anand, Sarita see Arora, S. C.; et al., 92j:47015 

Arora, S.C. (with Anand, Sarita; Marwah, Sunita) Operators satisfying growth condition. 
92j:47015 

Chen, Xiu Ping (with Yan, Zi Kun) Quasisimilarity of operators and the connected 
components of the Kato essential spectrum. (Chinese. English summary) 92k:47006 

Cherdak, V. B. On the order spectrum of r-compact operators in lattice-normed spaces. 
(Russian) 92h:47006 

Dubrovskii, V. V. Regularized trace formulas for operators with compact resolvent. 
(Russian) 92a:47002 

Fong, Che Kao (with Nordgren, Eric A.; Radjavi, Heydar; Rosenthal, Peter M.) Weak 
resolvents of linear operators. II. 92a:47003 

Forster, K.-H. (with Jahn, Karsten) Extremal compressions of closed operators. 92c:47003 

Franks, E. see Agler, J.; et al., 92m:47007 

Gil’, M. 1. (with Shargorodskaya, L. L.) An estimate for the norm of the resolvent of a 
quasi-Hermitian operator. (Russian) 92m:47008 

Herrero, Domingo A. see Agler, J.; et al., 92m:47007 

Jahn, Karsten see Forster, K.-H., 92c:47003 

Labrousse, Jean-Philippe (with Mbekhta, Mostafa) Résolvant généralisé et séparation 
des points singuliers quasi-Fredholm. [Generalized resolvent and separation of quasi- 
Fredholm singular points] 92k:47007 

Lee, Woo Young Boundaries of the spectra in -2(X). 92k:47008 

Li, Shao Kuan Definitions of operator spectra. (Chinese) 92m:47009 

Limaye, Balmohan V. A spectral characterization of operators having rank k. 92b:47004 

Marwah, Sunita see Arora, S. C.; et al., 92j:47015 

Mbekhta, Mostafa see Labrousse, Jean-Philippe, 92k:47007 

Mercer, A. McD. On the asymptotic eigenvalue distribution of certain Hermitian matrices. 
92d:47004 

Mostafa, Mbekhta see Abdelmalek, Ouahab, 92h:47005 

Nordgren, Eric A. see Fong, Che Kao; et al., 92a:47003 

Qiu, Chao Xin The non-semi-Fredholm domain of spectra of linear operators. (Chinese. 
English summary) 92d:47005 

Radjavi, Heydar see Fong, Che Kao; et al., 92a:47003 

Rosenthal, Peter M. see Fong, Che Kao; et al., 92a:47003 

Schmoeger, Ch. Ein Spektralabbildungssatz. [A spectral mapping theorem] 92h:47007 

Shargorodskaya, L. L. see Gil’, M. 1., 92m:47008 

Yan, Zi Kun Quasisimilarity of operators and connected components of Browder essential 
spectra. (Chinese) 92k:47009 

— see also Chen, Xiu Ping; et al., 92k:47006 

Zhong, Huai Jie Essential spectra of Banach space operators. (Chinese) 92¢:47006 








761 1992 


Items with secondary classifications in 47A10 

Acosta Vigil, Maria Dolores Denseness of numerical radius attaining operators: renorming 
and embedding results. 92j:47017 

Adkins, William A. Normal matrices over Hermitian discrete valuation rings. 92g:15035 

Ahués, Mario (with Largillier, Alain) Rayleigh-Schrédinger series versus inexact Newton 
methods for spectral computations. (see 92m:65053) 

Andreev, Aleksandr Sergeevich Estimates for the spectrum of compact pseudodifferential 
operators in unbounded domains. (Russian) 924:47069 

Andreu, F. (with Maz6n, José M.) Relation between the boundary point spectrum of a 
generator and of its adjoint. 92¢:47047 

— (with Caselles, V.; Martinez, Josep; Maz6n, José M.) The essential spectrum of AM- 
compact operators. 92j:47067 

— (with Martinez, Josep; Maz6n, José M.) A spectral mapping theorem for perturbed 
strongly continuous semigroups. 92i:47042 

Aomoto, Kazuhiko Point spectrum on a quasihomogeneous tree. 92g:47042 

Aupetit, Bernard * A primer on spectral theory. 92c:46001 

Bibikova, R. I. On the arrangement of the spectrum of linear operators. (Russian. Tajiki 
summary) 92¢:47034 

Bidard, C. (with Zerner, M.) The Perron-Frobenius theorem in relative spectral theory. 
92j:47063 

Binding, P. A. (with Ye, Qiang) Some general local variational principles. 92j:47037 

Birman, M. Sh. Discrete spectrum in the gaps of the continuous one in the large-coupling- 
constant limit. 92j:47091 

— Discrete spectrum in the gaps of a continuous one for perturbations with large coupling 
constant. (see 92g:35153) 

— see also Estimates and asymptotics for discrete spectra of integral and differential equations, 
92g:35153 

Boimatov, K. Kh. (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of 
differential operators. (Russian) 92d:47063 

— (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of differential 
operators in bounded domains. (Russian) 92i:47055 

— Spectral asymptotics of linear and nonlinear pencils of pseudodifferential operators that 
are elliptic in the Douglis-Nirenberg sense. (Russian) 92m:58141 

Buffoni, Boris Discrete spectrum of perturbed Dirac systems with real and periodic 
coefficients. 92e:47079 

Burlando, Laura On continuity of the spectral radius function in Banach algebras. 
92¢e:46103 

Caselles, V. see Andreu, F.; et al., 92j:47067 

Chen, Yan? Spectra of quasinormal operators and their continuity. (Chinese. English 
summary) 92b:47029 

Chernyshev, V. N. Convergence of absolutely continuous spectral measures for truncations 
of limit Jacobi matrices. (Russian) 92¢:47058 

Chevreau, Bernard (with Pearcy, Carl) The isolated Fredholm spectrum in the theory of 
dual algebras. 92k:47086 

Ché, Muneo Hyponormal operators on uniformly convex spaces. 92j:47043 

— Hyponormal operators on uniformly smooth spaces. 92a:47030 

— Weyl’s theorem for hyponormal operators on Banach spaces. 92c:47024 

Dubrovskii, V. V. Abstract formulas for regularized traces of elliptic smooth differential 
operators defined on compact manifolds. (Russian) 92m:47092 

Duduchava, R. V. (with Shargorodskii, E.M.) Some singular integral operators with fixed 
singularities. (Russian. English summary) 92h:47070 

Engli3, Miroslav A class of weighted composition operators on H?. (Czech summary) 
92a:47039 

Farid, F.O. Spectral properties of perturbed linear operators and their application to 
infinite matrices. 92b:47017 

Forster, K.-H. (with Nagy, Béla) Some properties of the spectral radius of a monic operator 
polynomial with nonnegative compact coefficients. 92g:47015 

Fraguela Collar, Andrés Some problems in the spectral theory of operator matrices. 
(Russian) 92k:47030 

Friedland, Shmuel Characterizations of the spectral radius of positive operators. 924:47054 

— Characterizations of spectral radius of positive operators on C* algebras. 92g:46083 

Fujii, Junichi (with Fujii, Masatoshi; Sasaoka, Hiromitsu; Watatani, Yasuo) The spectrum 
of an infinite directed graph. 92k:05090 

Fujii, Masatoshi (with Sasaoka, Hiromitsu; Watatani, Yasuo) The numerical radius of an 
infinite directed graph. 92g:47025 

— see also Fujii, Junichi; et al., 92k:05090 

Geiss, Stefan Grothendieck numbers of linear and continuous operators on Banach spaces. 
92h:47025 

Haagerup, Uffe (with dela Harpe, Pierre) The numerical radius of a nilpotent operator on a 
Hilbert space. 92i:47002 

Hansen, Frank The Moyal product and spectral theory for a class of infinite-dimensional 
matrices. 92j:81111 

de la Harpe, Pierre see Haagerup, Uffe, 92i:47002 

Harte, Robin Taylor exactness and the Apostol jump. 92¢:47005 

Hinton, D. B. (with Klaus, Martin; Shaw, J. K.) Half-bound states and Levinson’s theorem 
for discrete systems. 92d:47049 

Holley, Richard A. (with Kusuoka, Shigeo; Stroock, Daniel W.) Asymptotics of the spectral 
gap with applications to the theory of simulated annealing. 92d:60081 

Huang, Yong Spectral inclusion theorem for Toeplitz products. 92¢:47040 

Huijsmans, C. B. (with de Pagter, Ben) Disjointness preserving and diffuse operators. 
92k:47071 

Ismagilov, R. S. On the spectrum of a selfadjoint operator in L2(K), where K is a local field; 
an analogue of the Feynman-Kac formula. (Russian. English summary) 92m:47049 

Jakimovski, Amnon (with Tietz, Hubert) Eigenvalues for generalized Hausdorff matrices. 
92i:47030 

Johnston, William W. A condition for absence of singular spectrum with an application to 
perturbations of selfadjoint Toeplitz operators. 92g:47014 

Kirsch, Werner (with Molchanov, S. A.; Pastur, L. A.) The one-dimensional Schrodinger 
operator with unbounded potential: the pure point spectrum. (Russian) 92¢e:47080 

Klaus, Martin see Hinton, D. B.; et al., 92d:47049 


47A General theory of linear operators 


47A10 


Komal, B.S. Spectra of quasinormal composition operators on /?. 92a:47038 

— (with Pathania, Rajeshwar Singh) On eigenvalues of composition operators on /?. 
92f:47024 

Kostyuchenko, A. G. see Boimatov, K. Kh., 92d:47063 and 92i:47055 

Kovat-Striko, J. (with Veseli¢é, K.) Some remarks on the spectra of Hermitian matrices. 
92b:15018 

Kozhukhar’, P. A. The absence of eigenvalues for operators that are close to operators 
generated by infinite-dimensional Jacobi matrices. (Russian) 92b:47038 

— Point spectrum of singular nonselfadjoint differential operators. (Russian) 92j:47089 

— A Hardy-type inequality and the absence of eigenvalues in an integral-difference operator. 
(Russian. English and Moldavian summaries) 92i:47062 

Kozlov, Vladimir Arkad’evich (with Maz'ya, V.G.) On the spectrum of an operator pencil 
generated by the Neumann problem in a cone. (Russian) 92m:47093 

— On the spectrum of a pencil generated by the Dirichlet problem for an elliptic equation in 
an angle. (Russian) 92m:47094 

Kruglikova, O. P. Spectral functions of the restriction of the differentiation operator. 
(Russian) 92j:47044 

Kusuoka, Shigeo see Holley, Richard A.; et al., 92d:60081 

Kuznetsov, Sergei Vladimirovich On the discreteness of the spectrum of singular integral 
operators in elasticity theory. (Russian) 92g:47077 

Langer, Heinz (with Schneider, Albert') On spectral properties of regular quasidefinite 
pencils F — AG. 92d:47017 

Largillier, Alain see Ahués, Mario, (92m:65053) 

Latushkin, Yu. D. (with Stépin, A.M.) Weighted shift operators, the spectral theory of 
linear extensions and a multiplicative ergodic theorem. (Russian) 92d:47046 

Li, Sheng Jia (with Xu, Li Ping) A generalization of the spectral mapping theorem for Co- 
semigroups. (Chinese) 92h:47054 

Likhtarnikeov, L.M. (with Morozova, L. L.) A class of equations of V. I. Romanovskii type 
in a Hilbert space. (Russian) 92g:47038 

Linden, Hansjérg (with Menzel, Josef) On the trace of certain rational operator functions. 
92m:47025 

Little, Graham Equivalences of positive integral operators with rational kernels. 92m:47100 

Lomakovich, A. N. see Zabreiko, P. P., 92c:47063 

Malozémov, L. A. On the absolutely continuous spectrum of the Schrodinger difference 
operator. (Russian) 92¢:47044 

Martinez, Josep see Andreu, F.; et al., 92i:47042 and 92j:47067 

Martins, Jorge A. Sampaio Real interpolation and eigenvalues of Riesz operators. 
(Portuguese) (see 92m:00049) 

Masson, David R. (with Repka, J.) Spectral theory of Jacobi matrices in /?(Z) and the 
su(1,1) Lie algebra. 92h:33037 

Mazén, José M. see Andreu, F., 92c:47047; 92i:47042 and 92j:47067 

Maz'ya, V.G. see Kozlov, Viadimir Arkad’evich, 92m:47093 

Medkova, Dagmar On the convergence of Neumann series for noncompact operators. 
92g:47004 

Menzel, Josef see Linden, Hansjérg, 92m:47025 

Miyazaki, Yéichi Application of interpolation spaces with a function parameter to the 
eigenvalue distribution of compact operators. 92g:47028 

Molchanov, S. A. see Kirsch, Werner; et al., 92¢:47080 

Morozova, L. L. see Likhtarnikov, L. M., 92g:47038 

Nagel, Rainer Order in pure and applied functional analysis. 92m:47071 

Nagy, Béla see Forster, K.-H., 92g:47015 

Octavio, Alfredo On the joint spectrum and H-functional calculus for pairs of commuting 
contractions. 92j:47019 

Omladié, Matjaz (with Semri, Peter) Spectrum-preserving additive maps. 92e:47061 

de Pagter, Ben see Huijsmans, C. B., 92k:47071 

Parfenov, O. G. Estimates for singular numbers of Hankel operators. (Russian) 92m:47053 

Pastur, L. A. see Kirsch, Werner; et al., 92e:47080 

Pathania, Rajeshwar Singh see Komal, B. S., 92f:47024 

Pearcy, Carl see Chevreau, Bernard, 92k:47086 

Pivovarchik, V. N. On the total algebraic multiplicity of the spectrum in the right half-plane 
for a class of quadratic operator pencils. (Russian) 92g:47018 

Porter, David (with Stirling, David S.G.) * Integral equations. 92d:45001 

Pustyl/nikov, L. D. On the relationship between Riemann’s problem on zeros of the function 
¢(s) and the spectrum of an operator in Hilbert space. (Russian) 92m:11088 

Rabinovich, V.S. Spectral properties of a class of difference operators. (Russian) 
92m:47065 

Rakoétevi¢é, Viadimir Spectral radius formulae in quotient C*-algebras. 92c:46061 

Reade, J. B. Eigenvalues of smooth positive definite kernels. 92m:47101 

Repka, J. see Masson, David R., 92h:33037 

Rhoades, B. E. The point spectra for certain classes of operators in B(/?). 92i:47029 

— The spectra of weighted mean operators on bvo. 92j:47049 

Ricker, Werner J. Kakutani’s example on product spectral measures. 92h:47049 

Sasaoka, Hiromitsu see Fujii, Masatoshi; et al., 92g:47025 and Fujii, Junichi; et al., 
92k:05090 

Saxe, Karen Interpolation and spectra of regular L’-space operators. 92¢:47055 

Schneider, Albert! see Langer, Heinz, 92d:47017 

Semrl, Peter see Omladit, Matjaz, 92e:47061 

Shargorodskii, E.M. see Duduchava, R. V., 92h:47070 

Shaw, J. K. see Hinton, D. B.; et al., 92d:47049 

Shishkin, A. B. Spectral synthesis for an operator generated by multiplication by a power of 
the independent variable. (Russian) 92h:47040 

Shulman, V.S. Multiplication operators and spectral synthesis. (Russian) 92f:47016 

Sin’‘ko, G.I. On the spectral theory of a second-order integro-differential operator. (Russian) 
92h:47076 

Smith, Dale T. On the spectral analysis of selfadjoint operators generated by second order 
difference equations. 92j:47058 

Song, Guo Zhu The spectrum and normality for operators of class 6. (Chinese summary) 
92c:47025 

Stépin, A. M. see Latushkin, Yu. D., 92d:47046 

Stirling, David S. G. see Porter, David, 924:45001 





47A10 


Stroock, Daniel W. see Holley, Richard A.; et al., 92d:60081 

Sun, Chuan Kun Left and right essential inverses of generalized derivations. (Chinese. 
English summary) 92j:47060 

Tietz, Hubert see Jakimovski, Amnon, 92i:47030 

Verduyn Lunel, S. M. The closure of the generalised eigenspace of a class of infinitesimal 
generators. 92c:47048 

Veseli¢é, K. see Kovat-Striko, J., 92b:15018 

Viadimirov, V.S. On the spectrum of some pseudodifferential operators over the field of p- 
adic numbers. (Russian) 92g:47104 

Vreugdenhil, R. Spectral theory of selfadjoint Wiener-Hopf operators with rational symbols. 
924:47039 

Vii Quéc Phong A short proof of the Y. Katznelson’s and L. Tzafriri’s theorem. 92j:47012 

Watatani, Yasuo see Fujii, Masatoshi; et al., 92g:47025 and Fujii, Junichi; et al., 92k:05090 

White, M.C. The representation of analytic multivalued functions by compact operators. 
92¢:46106 

Wong, M. W. The spectra of the Laplacian. 92f:47050 

Xiong, Xi Wen see Zhan, Tong Sheng; et al. 

Xu, Li Ping see Li, Sheng Jia; et al., 92h:47054 

Yakovlev, S. I. Perturbations of a singular spectrum in a selfadjoint Friedrichs model. 
(Russian) 92¢:47036 

Yakubovich, D. V. On the spectral theory of Toeplitz operators with a smooth symbol. 
(Russian) 92m:47057 

Yan, Zi Kun Quasisimilarity of weighted shifts of multiplicity N and degree m. (Chinese. 
English summary) 92k:47056 

Yang, Ming Zhu (with Yao, Ai Xiang) On the spectrum of the transport operator for a 
bounded convex body. 92h:47102 

Yao, Ai Xiang see Yang, Ming Zhu; et al., 92h:47102 

Ye, Qiang see Binding, P. A., 92j:47037 

Zabreiko, P. P. (with Lomakovich, A. N.) Volterra integral operators in spaces of functions 
of two variables. (Russian. Ukrainian summary) 92c:47063 

Zerner, M. see Bidard, C., 92j:47063 

Zhan, Tong Sheng (with Xiong, Xi Wen) Inverse problems for generalized eigenvalues of 
Jacobi matrices. (Chinese. English summary) 

Zhitomirskaya, S. Ya. Spectral properties of one-dimensional almost periodic operators. 
(Russian) 92h:47051 

Zhong, Huai Jie Convergent sequences of projection operators in Banach spaces and their 
applications. (Chinese. English summary) 92a:47028 


Items listed otherwise than by author 

Estimates and asymptotics for discrete spectra of integral and differential equations 
* Estimates and asymptotics for discrete spectra of integral and differential equations. 
92g:35153 

Leningrad * Estimates and asymptotics for discrete spectra of integral and differential 
equations. 92g:35153 

Seminar: 
Mathematical Physics * Estimates and asymptotics for discrete spectra of integral and 

differential equations. 92g:35153 


47A11 Local spectral properties 


Forster, K.-H. (with Nagy, Béla) On the local spectral radius of a nonnegative element with 
respect to an irreducible operator. 92j:47016 
Nagy, Béla see Forster, K.-H., 92j:47016 


Items with secondary classifications in 47A11 

Albrecht, Ernst (with Ricker, Werner J.) Local spectral properties of constant coefficient 
differential operators in L?(R”). 92b:47048 

Friedland, Shmuel Characterizations of spectral radius of positive operators on C* algebras. 
92g:46083 

Lange, Ridgley (with Wang, Sheng Wang) Universal notions characterizing spectral 
decompositions. 92m:47066 

Ricker, Werner J. see Albrecht, Ernst, 92b:47048 

Wang, Sheng Wang see Lange, Ridgley, 92m:47066 


47Ai2 Numerical range 


Acosta Vigil, Maria Dolores CL-spaces and numerical radius attaining operators. 

— Denseness of numerical radius attaining operators: renorming and embedding results. 
92j:47017 

Binding, P. A. (with Li, Chi-Kwong) Joint ranges of Hermitian matrices and simultaneous 
diagonalization. 924:47006 

Debnath, Lokenath see Verma, Ram U., 92c:47004 

El-Adawy, T. M. (with Khan, G. A.) A note on the joint maximal numerical range. 
92k:47010 

Haagerup, Uffe (with dela Harpe, Pierre) The numerical radius of a nilpotent operator on a 
Hilbert space. 92i:47002 

de la Harpe, Pierre see Haagerup, Uffe, 92i:47002 

Khan, G. A. see El-Adawy, T. M., 92k:47010 

Li, Chi-Kwong see Binding, P. A., 92d:47006 

Li, Shao Kuan Some problems about elementary operators. II. (Chinese) 92k:47011 

Verma, Ram U. (with Debnath, Lokenath) On the joint numerical status and tensor 
products. 92¢:47004 

— Joint spatial numerical range of tensor products. 92j:47018 

— Joint maximal spatial numerical range and tensor products. 92b:47005 

Yang, Young Oh On extreme points of the joint numerical range. 92a:47004 


Items with secondary classifications in 47A12 


Ché, Muneo Hyponormal operators on uniformly convex spaces. 92j:47043 
— Hyponormal operators on uniformly smooth spaces. 92a:47030 


OPERATOR THEORY 


1992 


Drissi, Driss Sur l’inégalité d’Allan Sinclair pour les opérateurs hermitiens. (English 
summary) [On Allan Sinclair’s inequality for Hermitian operators] 924:46124 

Farenick, D. R. Krein-Mil'man-type problems for compact matricially convex sets. 
925:46106 

Fujii, Junichi (with Fujii, Masatoshi; Sasaoka, Hiromitsu; Watatani, Yasuo) The spectrum 
of an infinite directed graph. 92k:05090 

Fujii, Masatoshi see Fujii, Junichi; et al., 92k:05090 

Gaur, Abhay K. (with Kovarik, Zdislav V.) Norms, states and numerical ranges on direct 
sums. 92k:46078 

Herrero, Domingo A. The diagonal entries of a Hilbert space operator. 92m:47044 

Kovaiik, Zdislav V. see Gaur, Abhay K., 92k:46078 

Li, Chi-Kwong Some results on the generalized k-numerical range. 92a:15030 

Sasaoka, Hiromitsu see Fujii, Junichi; et al., 92k:05090 

Takaguchi, Makoto Note on the joint maximal numerical range and center of mass for 
operator-family. 92e:47007 

Verma, Ram U. The numerical range of nonlinear Banach space operators. 92d:47086 

Watatani, Yasuo see Fujii, Junichi; et al., 92k:05090 


47A13 Several-variable spectral theory 


Albrecht, Ernst (with Wirtz, Peter Maria) Multicyclic systems of commuting operators. 
92a:47005 

Arora, Pramod see Arora, S. C., 92a:47006 

Arora, S.C. (with Arora, Pramod) A generalization of the joint essential spectrum. 
92a:47006 

Curto, Rail E. (with Yan, Ke Ren) The Taylor spectrum of infinite direct sums. 92f:47004 

Debnath, Lokenath (with Verma, Ram U.) On multiparameter spectral theory. 92g:47005 

Fan, Ming Garske’s inequality for an n-tuple of operators. 92k:47012 

Mohapatra, Ram Narayan see Verma, Ram U., 92d:47007 

Octavio, Alfredo On the joint spectrum and H®-functional calculus for pairs of commuting 
contractions. 92j:47019 

Takaguchi, Makoto Note on the joint maximal numerical range and center of mass for 
operator-family. 92¢:47007 

— Centers of mass for operator-families. 92j:47020 

Verma, Ram U. (with Mohapatra, Ram Narayan) The Harte spectrum of doubly commut- 
ing systems of semi-normal operators. 92d:47007 

— see also Debnath, Lokenath, 92g:47005 

Wirtz, Peter Maria see Albrecht, Ernst, 92a:47005 

Yan, Ke Ren see Curto, Raul E., 92f:47004 


Items with secondary classifications in 47A13 

Ché, Muneo Hyponormal operators on uniformly smooth spaces. 92a:47030 

Curto, Rail E. Problems in multivariable operator theory. 92f:47001 

— Operator theory on Reinhardt domains. 92j:47052 

El-Adawy, T. M. (with Khan, G. A.) A note on the joint maximal numerical range. 
92k:47010 

Filippenko, V.1I. Countable sets of commuting normal operators. (Russian) 92k:47043 

Fong, Che Kao (with Nordgren, Eric A.; Radjavi, Heydar; Rosenthal, Peter M.) Weak 
resolvents of linear operators. II. 92a:47003 

Harte, Robin Taylor exactness and the Apostol jump. 92¢:47005 

Hu, Shan Wen The principal function and index of n-tuples of hyponormal operators. 
92a:47031 

Khan, G. A. see El-Adawy, T. M., 92k:47010 

Li, Liang Qing (with Zou, Cheng Zu) The analytic decomposable n-tuple of commuting 
operators. 

Lin, Qing (with Salinas, Norberto) Proper holomorphic maps and analytic Toeplitz n- 
tuples. 92e:47042 

Misra, Gadadhar (with Narasimha Sastry, N.S.) Homogeneous tuples of operators and 
representations of some classical groups. 92g:47039 

Narasimha Sastry, N.S. see Misra, Gadadhar, 92g:47039 

Nordgren, Eric A. see Fong, Che Kao; et al., 92a:47003 

Pincus, J.D. The principal index. 92f:47037 

— (with Xia, Daoxing) A trace formula for subnormal operator tuples. 92b:47030 

Radjavi, Heydar see Fong, Che Kao; et al., 92a:47003 

Rosenthal, Peter M. see Fong, Che Kao; et al., 92a:47003 

Salinas, Norberto see Lin, Qing, 92e:47042 

Shi, Ping On a problem of N. Salinas. 92a:47033 

Terescenco, Alexandru A joint spectrum technique in interpolation theory. 92j:46135 

Vasilescu, F.-H. Joint spectral properties for pairs of permutable selfadjoint transforma- 
tions. 92¢:47027 

Verma, Ram U. Joint spatial numerical range of tensor products. 92j:47018 

Xia, Daoxing see Pincus, J. D., 92b:47030 

Yang, Young Oh On extreme points of the joint numerical range. 92a:47004 

Zou, Cheng Zu see Li, Liang Qing; et al. 


47A15 Invariant subspaces 


Akiola, Dossou Sur le probléme du sous-espace invariant pour certains opérateurs M- 
polynomialement bornés. (English summary) [Invariant subspaces for M-polynomially 
bounded operators] 92¢:47005 

Barraa, Mohamed (with Charles, Bernard) Sous-espaces invariants d’un opérateur nilpotent 
sur un espace de Banach. [Invariant subspaces of a nilpotent operator on a Banach space] 
92e:47008 

Bercovici, Hari (with Tannenbaum, Allen) The invariant subspaces of a uniform Jordan 
operator. 924:47008 

Charles, Bernard see Barraa, Mohamed, 92e:47008 

Chevreau, Bernard (with Pearcy, Carl) On common noncyclic vectors for families of 
operators. 92k:47013 

Douglas, Ronald G. (with Yan, Ke Ren) On the rigidity of Hardy submodules. 92d:47009 

Filimonov, A. P. see Selyakova, N. L.; et al., 92i:47004 





763 1992 


Lomonosov, Victor I. On real invariant subspaces of bounded operators with compact 
imaginary part. 92i:47003 

Mathes, D. Benjamin Invariant diagonal operator ranges. 92¢:47006 

Noakes, J. Lyle Invariant subspaces and perturbations. 92e:47009 

Pearcy, Carl see Chevreau, Bernard, 92k:47013 

Pech, G. Hyperinvariante Teilraume kompakter Operatoren in topologischen Vek- 
torraumen. [Hyperinvariant subspaces of compact operators in topological vector spaces] 
924:47010 

Prunaru, Bebe von Neumann operators are reflexive. 92h:47008 

Rosenthal, Peter M. Equivalents of the invariant subspace problem. (see 92m:01044) 

Selyakova, N.I. (with Filimonov, A. P.; Tsekanovskii, E. R.) Invariant subspaces of 
compact operators in Banach spaces over the quaternion field. (Russian) 92i:47004 

Tannenbaum, Allen see Bercovici, Hari, 92d:47008 

Tsekanovskii, E.R. see Selyakova, N. L.; et al., 92i:47004 

Yan, Ke Ren see Douglas, Ronald G., 924:47009 


Items with secondary classifications in 47A15 

Aleman, Alexandru Invariant subspaces with finite codimension in Bergman spaces. 
92:47025 

Argyros, S. (with Lambrou, M.; Longstaff, W. E.) Atomic Boolean subspace lattices and 
applications to the theory of bases. 92m:46022 

Bercovici, Hari The quasisimilarity orbits of invariant subspaces. 92¢:47017 

Bertoglio, Néstor (with Martinez, Servet A.) Simple nests invariant by compact selfadjoint 
operators: a nonstandard approach. 92j:47069 

Bulgakov, A. Ya. Justification of guaranteed accuracy for identifying invariant subspaces of 
nonselfadjoint matrices. (Russian) 92c:65052a 

— The basis of guaranteed accuracy in the problem of separation of invariant subspaces for 
nonselfadjoint matrices. I [translation of Trudy Inst. Mat. (Novosibirsk) 15 (1989), Chisl. 
Anal., 12-93; MR 92c:65052a]. 92¢:65052b 

(Choi, Man Duen) see Yoshino, Takashi, 92f:16028 

Dehghan, M. A. (with Radjabalipour, Mehdi) Matrix algebras and Radjavi’s trace 
condition. 92a:15017 

D’yakonov, K.M. Moduli and arguments of analytic functions from subspaces in H? that 
are invariant under the backward shift operator. (Russian) 92f:30049 

Eschmeier, Jorg Multiplication operators on Bergman spaces are reflexive. 92f:47027 

Fedorov, S. I. Harmonic analysis in a multiply connected domain. I. (Russian) 92m:30068a 

— Harmonic analysis in a multiply connected domain. II. (Russian) 92m:30068b 

Haydon, Richard Reflexivity of commutative subspace lattices. 92j:47080 

Herrero, Domingo A. Triangular operators. 92k:47001 

Holmes, John P. Idempotents in differentiable semigroups. 92m:22001 

Jiang, Chun Lan A generalization of Apostol-Foias-Voiculescu’s theorem and its applica- 
tion. 92b:47022 

Kadison, Richard V. Triangular algebras—another chapter. 92h:47059 

Kapustin, V. V. A criterion for the reflexivity of contractions with a defect operator of the 
Hilbert-Schmidt class. (Russian) 92k:47023 

— (with Lipin, A. V.) Operator algebras and lattices of invariant subspaces. II. (Russian. 
English summary) 92h:47060 

Katavolos, Aristides Decomposability of operators relative to two subspaces. 92f:47045 

Lambrou, M. see Argyros, S.; et al., 92m:46022 

Larson, David R. Some recent progress in nest algebras. 92g:47059 

— (with Wogen, Warren R.) Some problems on triangular and semi-triangular operators. 
92i:47019 

Lin, Qing (with Salinas, Norberto) Proper holomorphic maps and analytic Toeplitz n- 
tuples. 92¢:47042 

Lipin, A. V. see Kapustin, V. V., 92h:47060 

Longstaff, W. E. see Argyros, S.; et al., 92m:46022 

Lia, Fang Unicellularity of Lambert’s weighted shifts. 92d:47040 

Martinez, Servet A. see Bertoglio, Néstor, 92j:47069 

Mehanna, A. A. W. see Singh, Dinesh, 92i:46027 

Nakazi, Takahiko Commuting dilations and uniform algebras. 92b:46080 

— (with Takahashi, Katsutoshi) Homogeneous polynomials and invariant subspaces in the 
polydisc. II. 92¢:46057 

Ong, Sing-Cheong When is the range of a normal operator invariant? 92¢c:47023 

— On equality of invariant subspace lattices of operators. 92b:15022 

Ptak, Marek Continuous isometric semigroups and reflexivity. 92j:47072 

Putinar, Mihai On invariant subspaces of several variable Bergman spaces. 92f:46023 

Radjabalipour, Mehdi see Dehghan, M. A., 92a:15017 

(Radjavi, Heydar) see Yoshino, Takashi, 92f:16028 

Richter, Stefan A representation theorem for cyclic analytic two-isometries. 92¢:47052 

(Rosenthal, Peter M.) see Yoshino, Takashi, 92f:16028 

Salinas, Norberto see Lin, Qing, 92e:47042 

Seddighi, Karim Certain invariant subspaces for operators with rich eigenvalues. 
92m:47073 

— (with Yousefi, B.) On the reflexivity of operators on function spaces. 92k:47067 

Shishkin, A. B. Spectral synthesis for an operator generated by multiplication by a power of 
the independent variable. (Russian) 92h:47040 

Singh, Dinesh (with Mehanna, A. A. W.) Invariant subspace of functions in H' with real 
Taylor coefficients. 92i:46027 

— see also Singh, U. N., 92b:46028 

Singh, U.N. (with Singh, Dinesh) On a theorem of de Branges. 92b:46028 

Sun, Ji Guang Perturbation expansions for invariant subspaces. 92k:47029 

Takahashi, Katsutoshi see Nakazi, Takahiko, 92c:46057 

Wogen, Warren R. see Larson, David R., 92i:47019 

Yoshino, Takashi Supplemental examples: “On complementary matrix algebras” [Integral 
Equations Operator Theory 13 (1990), no. 2, 165-174; MR 91k:4701 1] by M. D. Choi, H. 
Radjavi and P. Rosenthal. 92f:16028 

Yousefi, B. see Seddighi, Karim, 92k:47067 

Zajac, Michal On the singular unitary part of a contraction. 92b:47007 


47A General theory of linear operators 


47A20 Dilations, extensions, compressions 


Constantinescu, Tiberiu Completions and extensions. 92¢:47007 

— Some aspects of nonstationarity. I. 92f:47005 

Cotlar, Mischa (with Sadosky, Cora) Toeplitz liftings of Hankel forms bounded by non- 
Toeplitz norms. 92g:47006 

Tonascu, Ileana Note on the completion of partial contractions and on the distance formula 
in Banach spaces of type /' or /°°. (Romanian. English summary) 92¢e:47010 

Jung, [1 Bong (with Kim, Yong Chan; Park, Yong Kil) On dilation theorems of a contrac- 
tion in the classes A,. 92b:47006 

Kim, Yong Chan see Jung, Il Bong; et al., 92b:47006 

Kosiek, M. (with Zajac, Michal) Lebesgue-type decompositions of pairs of commuting 
contractions. 92¢:47008 

Li, Wing Suet On polynomially bounded operators. I. 92m:47010 

Loubaton, Philippe Some properties of the regular minimal unitary dilation of a pair 
of commuting contractive operators. Application to the quarter plane Markovian 
representation problem of stationary processes on Z?. 92j:47021 

LubaB, Martina Eine Methode zur Fortsetzung kompakter Operatoren. (English and 
Russian summaries) [A method for the extension of compact operators] 

Magyar, A. see Sebestyén, Zoltan, 92k:47014 

Moran, Maria Dolores On commuting isometries. 92¢:47009 

Nakanishi, Shizu An extension theorem for r-continuous linear operators on Denjoy 
integrable functions. 92m:47011 

Park, Yong Kil see Jung, Il Bong; et al., 92b:47006 

Pugach, V.1. Extensions and characteristic function of a linear antisymmetric operator in a 
quaternion Hilbert space. (Russian) (see 92d:28002) 

Sadosky, Cora see Cotlar, Mischa, 92g:47006 

Sarason, Donald New Hilbert spaces from old. (see 92m:01044) 

Sebestyén, Zoltan (with Magyar, A.) Restrictions of partial isometries. 92k:47014 

Storozh, O. G. Solvability of extensions of a closed operator. (Russian) 92d:47011 

— Extremal extensions of a nonnegative operator, and accretive boundary value problems. 
(Russian. Ukrainian summary) 92m:47012 

Zajac, Michal On the singular unitary part of a contraction. 92b:47007 

— see also Kosiek, M., 92c:47008 


Items with secondary classifications in 47A20 

Allakhverdiev, B. P. Selfadjoint and nonselfadjoint extensions of a symmetric operator 
generated by an infinite Jacobi matrix. (Russian) 92m:47048 

Augenstein, David L. see Frazho, Arthur E., 92d:47022 

Barinova, I. V. On the theory of extremal extensions of symmetric operators with gaps. 
(Russian) 92i:47023 

Bercovici, Hari (with Foias, Ciprian; Tannenbaum, Allen) Structured interpolation theory. 
92k:47032 

— (with Foias, Ciprian; Tannenbaum, Allen) Spectral variants of the Nevanlinna-Pick 
interpolation problem. 92k:47031 

— (with Foias, Ciprian; Tannenbaum, Allen) On spectral tangential Nevanlinna-Pick 
interpolation. 92d:47020 

Boca, Florin Free products of completely positive maps and spectral sets. 92f:46064 

Bruk, V. M. Invertible restrictions of closed operators in Banach spaces. (Russian) 
92h:47001 

Chen, Xiao Man Unitary dilations of semigroups of contractions on I, spaces. (Chinese) 
92b:47053 

Derkach, V. A. Extensions of a Hermitian operator that is not densely defined in a Krein 
space. (Russian. English summary) 92h:47044 

Dijksma, A. (with de Snoo, H. S. V.; El Sabbagh, A. A.) Selfadjoint extensions of regular 
canonical systems with Stieltjes boundary conditions. 92h:47065 

Dritschel, Michael A. (with Rovnyak, James) Extension theorems for contraction operators 
on Krein spaces. 92m:47068 

El Sabbagh, A. A. see Dijksma, A.; et al., 92h:47065 

Esterle, J. (with Zarouf, F.) Sur la non compatibilité de l’équivalence de Calkin avec le 
calcul fonctionnel de Nagy-Foias. [Noncompatability of the Calkin equivalence and Nagy- 
Foiags functional calculus] 92a:47021 

Etkin, A. E. Generalized resolvents of a contraction in Pontryagin space. (Russian) 
92h:47045 

Foias, Ciprian (with Frazho, Arthur E.) * The commutant lifting approach to interpolation 
problems. 92k:47033 

— see also Bercovici, Hari; et al., 92d:47020; 92k:47031 and 92k:47032 

Forster, K.-H. (with Jahn, Karsten) Extremal compressions of closed operators. 92¢:47003 

Frazho, Arthur E. A note on the commutant lifting theorem and a generalized four block 
problem. 92b:47019 

— (with Augenstein, David L.) A remark on two solutions to the rational Nehari interpola- 
tion problem. 924:47022 

— Acommutant lifting approach to tangential interpolation. 92m:47028 

— see also Foias, Ciprian, 92k:47033 

Friedrich, Jirgen (with Klotz, Lutz) On different definitions of positive definiteness. 
92k:43006 

Fritzsche, Bernd (with Kirstein, Bernd) A Schur type matrix extension problem. IV. 
92i:47017 

Gavruta, P. (with Paunescu, D.) Moment problems for operators. 92m:47029 

Halanay, Andrei A model for a general linear bounded operator between two Hilbert spaces. 
92k:47022 

Jahn, Karsten see Forster, K.-H., 92c:47003 

Jo, Young Soo see Jung, Il Bong, 92i:47022 

Jung, Il Bong (with Kim, Yong Chan) Dual operator algebras and Co-operators. 92b:47024 

— (with Jo, Young Soo) Universal dilations of a completely nonunitary normal operator. 
92i:47022 

Kim, Yong Chan see Jung, Il Bong, 92b:47024 

Kirstein, Bernd see Fritzsche, Bernd, 92i:47017 

Klotz, Lutz see Friedrich, Jiirgen, 92k:43006 

Kuzhel’, A. V. (with Rotkevich, E. S.) Normal norm-preserving extensions of Hermitian 





47A20 


contractions. (Russian) 92k:47044 

Kuzhel’,S. A. Spaces of boundary values and regular extensions of Hermitian operators. 
(Russian. Ukrainian summary) 92g:47031 

Le Merdy, Christian Le théortme AAK dans les espaces de type 2. (English summary) [The 
AAK theorem in spaces of type 2] 92m:47052 

Malamud, M. M. Boundary value problems for Hermitian operators with gaps. (Russian) 
92¢:47028 

Milo, O. Ya. (with Storozh,O.G.) On the general form of a maximally accretive extension 
of a positive-definite operator. (Russian. English summary) 92k:47045 

Mironov, B. G. On the theory of /-symmetric operators with a nondense domain. (Russian) 
92k:47072 

— On the theory of extensions of J-symmetric operators. (Russian) 92h:47046 

Nevdal, Geir A comment on Parrott’s theorem. 92g:15038 

Nakazi, Takahiko Commuting dilations and uniform algebras. 92b:46080 

Oinarov, R.O. Correctly solvable compressions of a linear operator in a Banach space. 
(Russian. English and Kazakh summaries) 92j:47006 

— (with Parasidi, I. N.) A criterion for the existence of a conjugate problem in a Banach 
space. (Russian) 92k:47005 

Paez, J. (with Sebestyén, Zoltan; Stochel, Jan) Restrictions of compact normal operators. 
92j:47042 

Parasidi, I. N. see Oinarov, R. O., 92k:47005 

Paunescu, D. see Gavruta, P., 92m:47029 

Pincus, J. D. (with Xia, Daoxing) A trace formula for subnormal operator tuples. 
92b:47030 

Popescu, Gelu von Neumann inequality for (B(#)"),. 92k:47073 

Power, S.C. Spectral characterization of the Wold-Zasuhin decomposition and prediction- 
error operator. 92j:47032 

Ross, William T. Analytic continuation in Bergman spaces and the compression of certain 
Toeplitz operators. 92m:47055 

Rotkevich, E.S. see Kuzhel’, A. V., 92k:47044 

Rovnyak, James see Dritschel, Michael A., 92m:47068 

Sebestyén, Zoltan (with Stochel, Jan) Restrictions of positive selfadjoint operators. 
92i:47024 

— see also Paez, J.; et al., 92j:47042 

Sergeev, A. S. (with Tsekanovskii, E.R.) Real Hermitian operators with a nondense 
domain and their real selfadjoint extensions. (Russian) 92h:47030 

Shtraus, L. A. Extensions of a J-isometric operator. (Russian) 92j:47061 

de Snoo, H. S. V. see Dijksma, A.; et al., 92h:47065 

Stochel, Jan Characterizations of subnormal operators. 92m:47047 

— see also Sebestyén, Zoltan, 92i:47024 and Paez, J.; et al., 92j:47042 

Storozh, O. G. see Mil’o, O. Ya., 92k:47045 

Szafraniec, Franciszek Hugon A RKHS of entire functions and its multiplication operator. 
An explicit example. 92a:47034 

Tannenbaum, Allen see Bercovici, Hari; et al., 92d:47020; 92k:47031 and 92k:47032 

Tsekanovskii, E.R. see Sergeev, A. S., 92h:47030 

Werner, Reinhard F. Dilations of symmetric operators shifted by a unitary group. 
92e:47068 

Wa, Jing Bo Normal extensions of semigroups of operators to Krein spaces. 92k:47078 

Xia, Daoxing see Pincus, J. D., 92b:47030 

Zarouf, F. see Esterle, J., 92a:47021 


47A25 Spectral sets 


Lewis, Keith A. Intersections of K-spectral sets. 92b:47008 

Stampfli, Joseph G. Surgery on spectral sets. II. The multiply connected case. 92b:47009 

Stochel, Jerzy Bartlomiej Note on minimal spectral sets of tensor products of operators. 
(Polish summary) 92j:47022 


Items with secondary classifications in 47A25 

Fong, Che Kao (with Nordgren, Eric A.; Radjavi, Heydar; Rosenthal, Peter M.) Weak 
resolvents of linear operators. II. 92a:47003 

Li, Shao Kuan Definitions of operator spectra. (Chinese) 92m:47009 

Misra, Gadadhar (with Narasimha Sastry, N.S.) Homogeneous tuples of operators and 
representations of some classical groups. 92g:47039 

Narasimha Sastry, N.S. see Misra, Gadadhar, 92g:47039 

Nordgren, Eric A. see Fong, Che Kao; et al., 92a:47003 

Radjavi, Heydar see Fong, Che Kao; et al., 92a:47003 

Rosenthal, Peter M. see Fong, Che Kao; et al., 92a:47003 


47A30 Norms (inequalities, more than one norm, etc.) 


Abramovich, Yuri A. (with Aliprantis, Charalambos D.; Burkinshaw, Owen) The Daugavet 
equation in uniformly convex Banach spaces. 92i:47005 

Aliprantis, Charalambos D. see Abramovich, Yuri A.; et al., 92i:47005 

Ando, Tsuyoshi (with Okubo, Kazuyoshi) Induced norms of the Schur multiplier operator. 
92k:47015 

Berman, Kenneth A. (with Halpern, Herbert; Kaftal, Victor, Weiss, Gary) Some C, and Cs 
norm inequalities related to the paving problem. 92b:47010 

Bhatia, Rajendra (with Davis, Chandler; Kittaneh, Fuad) Some inequalities for commuta- 
tors and an application to spectral variation. 92j:47023 

Burkinshaw, Owen see Abramovich, Yuri A.; et al., 92i1:47005 

Davis, Chandler see Bhatia, Rajendra; et al., 92j:47023 

Dazord, Jean Sur une norme de matrices. (English summary) [On a matrix norm] 
924:47012 

Drury, S. W. Several graded contractions on Hilbert space. 92c:47010 

Halpern, Herbert see Berman, Kenneth A.; et al., 92b:47010 

Kaftal, Victor see Berman, Kenneth A.; et al., 92b:47010 

Kittaneh, Fuad see Bhatia, Rajendra; et al., 92j:47023 

McFEachin, R. A sharp estimate in an operator inequality. 92h:47009 

Okubo, Kazuyoshi see Ando, Tsuyoshi, 92k:47015 


OPERATOR THEORY 1992 764 


Rhoades, B. E. Corrections: “/?-norms of some generalized Hausdorff matrices” [Canad. 
Math. Bull. 32 (1989), no. 4, 500-504; MR 91c:47012]. 92g:47007 
Weiss, Gary see Berman, Kenneth A.; et al., 92b:47010 


Items with secondary classifications in 47A30 

Baronti, Marco (with Franchetti, Carlo) Minimal and polar projections onto hyperplanes in 
the spaces /, and /... 92e:46040 

Bhatia, Rajendra (with Horn, Roger A.; Kittaneh, Fuad) Normal approximants of binormal 
operators. 92b:47028 

Carl, Bernd Entropy and n-widths of operators in Banach spaces. 92k:47040 

— (with Stephani, Irmtraud) * Entropy, compactness and the approximation of operators. 
92e:47002 

— (with Defant, Andreas) Tensor products and Grothendieck type inequalities of operators 
in Lp-spaces. 92g:47035 

Defant, Andreas see Carl, Bernd, 92g:47035 

Drissi, Driss Sur l’inégalité d’Allan Sinclair pour les opérateurs hermitiens. (English 
summary) [On Allan Sinclair’s inequality for Hermitian operators] 924:46124 

Franchetti, Carlo see Baronti, Marco, 92¢:46040 

Furuta, Takayuki When does the equality of a generalized Selberg inequality hold? 
92g:15026 

Godun, B. V. (with Troyanski, S. L.) Norm-attaining operators, and the geometry of the 
unit sphere of a Banach space. (Russian) 92d:46038 

Hoppe, Wolfram (with Krupnik, N. Ya.) Some counterexamples to a hypothesis connected 
with the local values of the essential norm of operators of local type. 92b:47042 

Horn, Roger A. see Bhatia, Rajendra; et al., 92b:47028 

Johnson, Charles Royal (with Nylen, Peter) Monotonicity properties of norms. 92b:15037 

Kan, Charn-Huen Norming vectors of linear operators between L, spaces. 92h:47038 

Kittaneh, Fuad see Bhatia, Rajendra; et al., 92b:47028 

Krasnosel'skii, A. M. Joint norm of operators and the study of nonlinear problems. 
(Russian. Ukrainian summary) 92b:47101 

Krupnik, N. Ya. see Hoppe, Wolfram, 92b:47042 

Lee, Sung J. (with Nashed, M. Zuhair) Normed linear relations: domain decomposability, 
adjoint subspaces, and selections. 92h:47003 

Maher, P. J. Commutator approximants. 92j:47059 

Martinez, Ma. Dolores see Martinez Carracedo, Celso; et al., 92d:47024 

Martinez Carracedo, Celso (with Sanz Alix, Miguel A.; Martinez, Ma. Dolores) Some 
inequalities for fractional integrals and derivatives. (Russian) 924:47024 

Naboko, S. Ya. Estimates in operator classes for the difference of functions from the Pick 
class of accretive operators. (Russian) 92k:47070 

Nakazi, Takahiko Norms of Hankel operators on a bidisc. 92i:47026a 

— Errata to: “Norms of Hankel operators on a bidisc”. 92i:47026b 

Nashed, M. Zuhair see Lee, Sung J., 92h:47003 

Nylen, Peter see Johnson, Charles Royal, 92b:15037 

Oinarov, R.O. An estimate for a norm of an integral operator. (Russian. Kazakh summary) 
92b:47076 

Pichugov, S. A. Estimates for the norms of operators that are continuous with respect to 
measure. (Russian) 92k:47065 

Pilidi, V.S. A priori estimates for bisingular operators with continuous coefficients. 
(Russian) 92c:47061 

Popescu, Gelu von Neumann inequality for (B(#)"),. 92k:47073 

Sagher, Yoram (with Siadat, M. Vali; Zhou, Ke Cheng) Norm inequalities for integral 
operators on cones. 92f:47053 

Sanz Alix, Miguel A. see Martinez Carracedo, Celso; et al., 92d:47024 

Siadat, M. Vali see Sagher, Yoram; et al., 92f:47053 

Stephani, Irmtraud see Carl, Bernd, 92e:47002 

Szarek, Stanislaw J. Computing summing norms and type constants on few vectors. 
92h:46023 

Troyanski, S. L. see Godun, B. V., 92d:46038 

Wang, Wen Yuan (with Yuan, Dong Jing) A proof of a theorem in Hilbert spaces and its 
applications. (Chinese. English summary) 92j:47013 

Wojtaszczyk, P. Some remarks on the Daugavet equation. 92k:47041 

Yuan, Dong Jing see Wang, Wen Yuan; et al., 92j:47013 

Zhou, Ke Cheng see Sagher, Yoram; et al., 92f:47053 


47A35 Ergodic theory [see also 28Dxx] 


Akcoglu, M. A. (with Baxter, J. R.; Lee, W.M.F.) Representation of positive operators and 
alternating sequences. 92i:47006 

— (with Bradley, R. E.) Alternating sequences and induced operators. 92m:47013 

Assani, Idris Universal weights from dynamical systems to mean-bounded positive 
operators on L?. 92i:47007 

Bartoszek, Wojciech Asymptotic properties of the iterates of stochastic operators on (AL) 
Banach lattices. 92a:47007 

Baxter, J.R. see Akcoglu, M. A.; et al., 92i:47006 

Becker, Maria Elena Weighted ergodic theorems for weakly mixing transformation groups. 
92b:47011 

Berend, Daniel A note on the L” analogue of the “zero-two” law. 92c:47011 

Berkson, Earl (with Bourgain, Jean; Gillespie, T. A.) On the almost everywhere conver- 
gence of ergodic averages for power-bounded operators on L?-subspaces. 92j:47024 

Bertoglio, Néstor (with Martinez, Servet A.) Measure preserving Markov processes densely 
similar to endomorphisms. 92a:47008 

Bourgain, Jean see Berkson, Earl; et al., 92j:47024 

Bradley, R. E. Concerning induced operators and alternating sequences. ‘ 92h:47010 

— On induced operators. 92m:47014 

— see also Akcoglu, M. A., 92m:47013 

Cémez, Dogan (with Lin, Michael) Mean ergodicity of L; contractions and pointwise 
ergodic theorems. 92k:47016 

— A generalization of Dunford-Schwartz theorem. (Turkish summary) 92¢:47011 

— A remark on the weighted averages for superadditive processes. 92g:47008 





765 1992 


Ding, Jiu (with Li, Tien-Yien) Markov finite approximation of Frobenius-Perron operator. 
92i:47008 

Gillespie, T. A. see Berkson, Earl; et al., 92j:47024 

Hsiao, Shéng Yen Uniform convergence of ergodic limits and approximate solutions. 
92e:47012 

Iwanik, Anzelm Monothetic groups of measure preserving transformations. (Russian 
summary) 92b:47012 

— (with de Sam Lazaro, José) Sur la multiplicité L? d’un automorphisme gaussien. (English 
summary) [On the L? multiplicities of Gaussian automorphisms] 92f:47006 

Jardas, Cvetan (with Sarapa, Nikola) On an ergodic property of probability measures on 
compact semigroups. (Serbo-Croatian summary) 92c:47012 

Jones, Roger L. (with Olsen, James H.; Wierdl, Maté) Subsequence ergodic theorems for L? 
contractions. 92h:47011 

Kachurovskii, A.G. A property of operators generated by ergodic automorphisms. (Russian) 
92k:47017 

Lee, Felix A mean ergodic theorem for multiparameter superadditive processes on Banach 
lattices. 92e:47013 

Lee, W. M. F. see Akcoglu, M. A.; et al., 92i:47006 

Li, Tien-Yien see Ding, Jiu, 92i:47008 

Lin, Michael (with Sine, Robert) Contractive projections on the fixed point set of L.. 
contractions. 92h:47012 

— see also Cémez, Dogan, 92k:47016 

Martinez, Servet A. see Bertoglio, Néstor, 92a:47008 

Mesiar, Radko Sur la convergence ponctuelle de 7” f/a, dans Ly. (English summary) [On 
the pointwi gi of T" f/a, in Lp] 92k:47018 

Olsen, James H. Two consequences of Brunel’s theorem. 92¢:47014 

— see also Jones, Roger L.; et al., 92h:47011 

Podhorodytiski, Marian Two fixed point theorems for abstract Markov operators. 
92m:47015 

Qian, Neng Sheng On multiparameter Chacon-Ornstein theorem. 92e:47015 

Rebowski, Ryszard On the lattice structure of invariant functions for Markov operators on 
C(X). 924:47013 

Ruess, W. M. (with Summers, W. H.) Ergodic theorems for semigroups of operators. 
92e:47016 

de Sam Lazaro, José see Iwanik, Anzelm, 92f:47006 

Sarapa, Nikola see Jardas, Cvetan, 92c:47012 

Sato, Ryotaro On pointwise ergodic theorems for positive operators. 92d:47014 

— A note on the almost everywhere convergence of alternating sequences with Dunford- 
Schwartz operators. 92g:47009 

Silva, Cesar E. (with Thieullen, Philippe) The subadditive ergodic theorem and recurrence 
properties of Markovian transformations. 92a:47009 

Sine, Robert see Lin, Michael, 92h:47012 

Summers, W. H. see Ruess, W. M., 92e:47016 

Thieullen, Philippe see Silva, Cesar E., 92a:47009 

Wierdl, Maté see Jones, Roger L.; et al., 92h:47011 

Yoshimoto, Takeshi Local mean ergodic theorems in Banach spaces. 92f:47007 


Items with secondary classifications in 47A35 


Adamski, Wolfgang Invariant measures for Markov operators on vector lattices of real- 
valued functions. 92h:28018 

— An existence theorem for probability measures invariant under a Markov kernel. 
92h:28019 








Arendt, Wolfgang (with Batty, C.J. K.) Domination and ergodicity for positive semigroups. 


92:47038 

Asmar, Nakhlé H. (with Berkson, Earl; Gillespie, T. A.) Distributional control and 
generalized analyticity. 92b:43014 

— (with Nair, Radhakrishnan) Certain averages on the a-adic numbers. 92c:11079 

Assani, Idris (with Woé, J.) An equivalent measure for some nonsingular transformations 
and application. 92f:28012 

— (with Petersen, Karl; White, Homer) Some connections between ergodic theory and 
harmonic analysis. 92m:28021 

Batty, C. J. K. see Arendt, Wolfgang, 92f:47038 

Berkson, Earl see Asmar, Nakhié H.; et al., 92b:43014 

Campbell, James T. (with Jamison, James E.) The analysis of composition operators on L” 
and the Hopf decomposition. 92h:47036 

Castrandas, E. Pointwise ergodic theorems for multivalued functions. 92e:28011 

Dajani, Karma On superrecurrence. 92k:28027 

Georgakis, Constantine The Hausdorff mean of a Fourier-Stieltjes transform. 92m:42009 

Gillespie, T. A. see Asmar, Nakhlé H.; et al., 92b:43014 

Gérnicki, Jarosiaw Nonlinear ergodic theorems for asymptotically nonexpansive mappings 
in Banach spaces satisfying Opial’s condition. 92h:47085 

Heble, Madhar P. (with Sundaresan, Kondagunta) Ergodic properties of a class of 
nonlinear operators. (Russian summary) 924:47093 

Horbacz, Katarzyna Invariant densities for one-dimensional random dynamical systems. 
92m:58073 

— Statistical properties of the Ejgielies model of a cogged bit. 92i:47096 

Jamison, James E. see Campbell, James T., 92h:47036 

del Junco, Andrés (with Lemariczyk, Mariusz) Generic spectral properties of measure- 
preserving maps and applications. 92i:28017 

Komorowski, Tomasz (with Tyrcha, Joanna) Asymptotic properties of some Markov 
operators. (Russian summary) 92f:47029 

Kondah, Abdelaziz Perturbations aléatoires de systemes dynamiques unidimensionnels. 
(English summary) [Random perturbations of one-dimensional dynamical systems] 
92k:28032 

Krengel, Ulrich (with Lin, Michael; Wittmann, Rainer) A limit theorem for order 
preserving nonexpansive operators in L;. 924:47071 

Latushkin, Yu. D. (with Stépin, A.M.) Weighted shift operators, the spectral theory of 
linear extensions and a multiplicative ergodic th (Russian) 92d:47046 

— (with Stépin, A.M.) Weighted shift operators and linear extensions of dynamical 
systems. (Russian) 92k:47062 





47A General theory of linear operators 


Lematiczyk, Mariusz see del Junco, Andrés, 92i:28017 

Lin, Michael see Krengel, Ulrich; et al., 92d:47071 

Nair, Radhakrishnan see Asmar, Nakhlé H., 92c:11079 

(von Neumann, John) see Ornstein, Donald S., 92d:01027 

Ornstein, Donald S. von Neumann and ergodic theory. 92d:01027 

Parry, William Notes on coding problems for finite state processes. 92c:28016 

Petersen, Karl * Ergodic theory. 92c:28010 

— Erratum to: “The ergodic theorem with time compression” [J. Analyse Math. 51 (1988), 
228-244; MR 90b:28023]. 92a:28014 

— see also Assani, Idris; et al., 92m:28021 

Rabiger, Frank Ergodic Banach lattices. 92e:46043 

Rebowski, Ryszard On the lattice properties of invariant functions for Markov operators on 
C(X). 92h:47048 

Stépin, A. M. see Latushkin, Yu. D., 92d:47046 and 92k:47062 

Sundaresan, Kondagunta see Heble, Madhar P., 92d:47093 

Tan, Kok-Keong (with Xu, Hong Kun) The nonlinear ergodic theorem for asymptotically 
nonexpansive mappings in Banach spaces. 92e:47100 

Tyrcha, Joanna see Komorowski, Tomasz, 92f:47029 

Vii Quéc Phéng A short proof of the Y. Katznelson’s and L. Tzafriri’s theorem. 92j:47012 

White, Homer see Assani, Idris; et al., 92m:28021 

Wittmann, Rainer Hopf’s ergodic theorem for nonlinear operators. 92d:47070 

— see also Krengel, Ulrich; et al., 92d:47071 

Wos, J. see Assani, Idris, 92f:28012 

Xu, Hong Kun see Tan, Kok-Keong, 92¢:47100 

Zaharopol, Radu On subinvariant elements in Banach lattices. 92a:47043 

— KB-spaces and subinvariant elements of positive operators. 92a:47044 


47A40 Scattering theory [see also 34L25, 35P25, 81Uxx] 


Boutet de Monvel-Berthier, Anne-Marie (with Georgescu, Vladimir) Locally conjugate 
operators, boundary values of the resolvent and wave operators. (French summary) 
92c:47013 

Georgescu, Vladimir see Boutet de Monvel-Berthier, Anne-Marie, 92c:47013 

Georgiev, Viadimir S. Uniform boundedness of the energy for time-periodic potentials. 
92£:47008 

Jochmann, F. Asymptotic completeness in optical scattering. 92j:47025 

Kitada, Hitoshi Asymptotic completeness for N-body long-range quantum systems. 
92k:47019 

Konstantinov, A. Yu. A generalization of a theorem of Pearson. (Russian) 92a:47010 

Neidhardt, Hagen Some remarks on the scattering theory for dissipative Schroedinger 
operators. 92f:47009 

— On the inverse problem of a dissipative scattering theory. II. 92i:47009 

— On the inverse problem of a dissipative scattering theory. III. 92i:47010 

— Dissipative Lax-Phillips scattering theory and the characteristic function of a contraction. 
92a:47011 

— On the abstract inverse scattering problem for dissipative operators. (see 92b:35006) 

Newton, Roger G. Wiener-Hopf factorization of the S matrix. 92g:47010 

Pickett, Douglas Scattering theory for hyperbolic equations of order 2m. 92m:47016 

Sobolev, Aleksandr Vladimirovich (with Yafaev, D.R.) Spectral properties of an abstract 
scattering matrix. (Russian) 92k:47020 

Tong, Yu Sun Local scattering in Krein spaces. (Chinese) 92m:47017 

Yafaev, D. R. On some spectral properties of the scattering matrix. (see 92b:35006) 

— see also Sobolev, Aleksandr Vladimirovich, 92k:47020 


Items with secondary classifications in 47A40 


Akopyan, R. V. A new derivation of trace formulas for selfadjoint and unitary operators. 
(Russian. Armenian summary) 92a:47015 

Alber, H.-D. Uniform L2-asymptotics of the scattering amplitude in the high frequency 
limit. (Russian summary) 92m:35195 

Cheremshantsev, S. E. Averaged wave operators in the problem of scattering by a Brownian 
particle. (Russian) 92b:35116 

van Diejen, J. F. (with Tip, A.) Scattering from generalized point interactions using 
selfadjoint extensions in Pontryagin spaces. 92e:81028 

Herbst, Ira W. Spectral and scattering theory for Schrédinger operators with potentials 
independent of |x|. 92k:35069 

Ikawa, Mitsuru On the poles of the scattering matrix. (Japanese) 92b:35117 

Jensen, Arne” (with Ozawa, Tohru) Classical and quantum scattering for Stark Hamiltoni- 
ans with slowly decaying potentials. (French summary) 92f:81223 

— (with Yajima, Kenji) On the long range scattering for Stark Hamiltonians. 92h:81185 

Kitada, Hitoshi Asymptotic completeness of N-body wave operators. I. Short-range 
quantum systems. 92k:81227 

(Kocherga, O. D.) see Sitenko, A. G., 92e:81279 

Koshmanenko, V. D. On the scattering problem for Markov fields. 92e:47129 

Melik-Adamyan, F. E. A class of canonical differential operators. (Russian. English and 
Armenian summaries) 92a:47056 

Milman, A. L. An inverse problem in acoustic scattering theory for centrally symmetric 
finite obstacles in a two-dimensional space. (Russian. Ukrainian summary) 92¢:35174 

Ozawa, Tohru Nonexistence of wave operators for Stark effect Hamiltonians. 924:35215 

— see also Jensen, Arne’, 92f:81223 

Pascu, Mihai N. Asymptotic completeness of the wave operators for simply characteristic 
operators and long-range potentials by Enns’ method. 924:35216 

Petkov, Vesselin M. Phase de diffusion pour des perturbations captives. [Scattering phase 
for captive perturbations] 92e:35121 

— Péles de la matrice de diffusion pour des perturbations captives. [Poles of the scattering 
matrix for bound perturbations] 92k:35208 

Popov, I. Yu. Theory of extensions and the localization of resonances for domains of trap 
type. (Russian) 92k:47094 

Sitenko, A.G. * Scattering theory. 92¢:81279 

Tamura, Hideo Asymptotic completeness for N-body Schrédinger operators with short- 
range interactions. 92h:35169 





47A40 


Tip, A. see van Diejen, J. F., 92e:81028 

White, D. A. W. The Stark effect and long range scattering in two Hilbert spaces. 92e:35123 

Wiiller, Ulrich Geometric methods in scattering theory of the charge transfer model. 
92k:35070 

Yafaev, D. R. On the asymptotics of scattering phases for the Schrodinger equation. (French 
summary) 92b:35118 

— Asymptotics of limit phases in a problem of potential scattering. (Russian) 92a:35127 

— On solutions of the Schrédinger equation with radiation conditions at infinity. (see 
92g:35153) 

Yajima, Kenji see Jensen, Arne”, 92h:81185 


47A45 Canonical models for contractions and nonselfadjoint 
operators 


Arlinskii, Yu. M. Characteristic functions of operators of the class C(a). (Russian) 
92k:47021 

Bercovici, Hari Cy-Fredholm operators. IV. 92i:47011 

— The quasisimilarity orbits of invariant subspaces. 92e:47017 

Dé Cong Khanh (+)-regular factorization and best minorant. (Russian) 92i:47012 

Halanay, Andrei A model for a general linear bounded operator between two Hilbert spaces. 
92k:47022 

Kapustin, V. V. A criterion for the reflexivity of contractions with a defect operator of the 
Hilbert-Schmidt class. (Russian) 92k:47023 

Kérchy, L. On the functional calculus of contractions with nonvanishing unitary asymp- 
totes. 92a:47012 

Rybkin, A. V. The Stieltjes B-integral and the summation of spectral decompositions of 
some classes of contraction operators. (Russian) 92k:47024 

Yarkov, V.G. J-characteristic functions of a pair of linear operators. (Russian) 92j:47026 

Zajac, Michal Hyperinvariant subspace lattice of isometries. (Russian summary) 
92g:47011 


Items with secondary classifications in 47A45 

Avdonin, S. A. (with Ivanov, S. A.; Jo6, Istvan) On Riesz bases from vector exponentials. I, 
II. 92m:42034 

Bercovici, Hari (with Tannenbaum, Allen) The invariant subspaces of a uniform Jordan 
operator. 924:47008 

Constantinescu, Tiberiu Some aspects of nonstationarity. I. 92f:47005 

Deciu, Elena Some properties of the adjoint monic nodes on complex Hilbert spaces. 
(Romanian summary) 92b:47013 

Dé Céng Khanh Factorization of transfer functions. II. Minimality of passive scattering 
systems with cascade coupling. (Russian. Ukrainian summary) 92¢:47086 

Esterle, J. (with Zarouf, F.) Sur la non compatibilité de l’équivalence de Calkin avec le 
calcul fonctionnel de Nagy-Foias. [Noncompatability of the Calkin equivalence and Nagy- 
Foias functional calculus] 92a:47021 

Gavruta, P. (with Paunescu, D.) Moment problems for operators. 92m:47029 

Ivanov, S. A. see Avdonin, S. A.; et al., 92m:42034 

Joé, Istvan see Avdonin, S. A.; et al., 92m:42034 

Kamerina, L. A. Quasi-unitary equivalence of operators in spaces with involution. (Russian) 
92g:47045 

Kapustin, V. V. (with Lipin, A. V.) Operator algebras and lattices of invariant subspaces. II. 
(Russian. English summary) 92h:47060 

Khatskevich, V. A. (with Shmul'yan, Yu. L.; Shul/man, V.S.) Pre-orders and equivalences 
in the operator ball. (Russian) 92m:47086 

Lipin, A. V. see Kapustin, V. V., 92h:47060 

Marcantognini, Stefania Unitary colligations of operators in Krein spaces. 92f:47010 

Marsalli, Michael A classification of operator algebras. 92¢:47076 

Neidhardt, Hagen Dissipative Lax-Phillips scattering theory and the characteristic function 
of acontraction. 92a:47011 

Paunescu, D. see Gavruta, P., 92m:47029 

Pugach, V.I. Extensions and characteristic function of a linear antisymmetric operator in a 
quaternion Hilbert space. (Russian) (see 92d:28002) 

Shmul’yan, Yu. L. see Khatskevich, V. A.; et al., 92m:47086 

Shtraus, L. A. Extensions of a J-isometric operator. (Russian) 92j:47061 

Shul‘man, V.S. see Khatskevich, V. A.; et al., 92m:47086 

Tannenbaum, Allen see Bercovici, Hari, 924:47008 

Zarouf, F. see Esterle, J., 92a:47021 


47A48 Operator colligations (= nodes) 


Deciu, Elena Some properties of the adjoint monic nodes on complex Hilbert spaces. 
(Romanian summary) 92b:47013 

Marcantognini, Stefania Unitary colligations of operators in Krein spaces. 92f:47010 

Tsekanovskii, E.R. see Tsekanovskii, V. E., 92h:47013 

Tsekanovskii, V.E. (with Tsekanovskii, E. R.) Stieltjes operator functions with gaps and 
their realization by conservative systems. (Russian) 92h:47013 


Items with secondary classifications in 47A48 

Dé Cong Khanh Minimality of passive scattering systems under cascade coupling. (Russian) 
92c:47087 

— Factorization of transfer functions. II. Minimality of passive scattering systems with 
cascade coupling. (Russian. Ukrainian summary) 92c:47086 

Langer, Heinz (with Moller, Manfred) Linearization of boundary eigenvalue problems. 
92g:47069 

LivSic, M.S. What is a particle from the standpoint of systems theory? 92k:47141 

Maller, Manfred see Langer, Heinz, 92g:47069 

Shtraus, L. A. Extensions of a J-isometric operator. (Russian) 92j:47061 


OPERATOR THEORY 


1992 766 


47A50 Equations and inequalities involving linear operators, with 
vector unknowns 


Abian, Alexander An inner product and orthonormalization in /?-spaces and solution of 
infinite systems of infinite linear equations. 92h:47014 

Aizenberg, L. A. (with Tarkhanov, N. N.) Conditionally stable linear problems and the 
Carleman formula. (Russian) 924:47015 

Awad, Labib R. see Nazimov, A. B., 92a:47014 

Boichuk, A. A. (with Zhuravlév, V. F.) Construction of solutions of linear Noetherian 
operator equations in Hilbert spaces. (Russian. English summary) 92g:47012 

Cherskii, Yu. I. Extremal problems for a Noether operator. (Russian) 92c:47014 

Godunov, B. A. Monotone iterative p with nonpositive operators. (Russian. English 
summary) 92b:47014 

Gonzalez, Manuel (with Onieva, Victor Manuel) On the convergence of Neumann series in 
Banach space. (see 92g:00024) 

Hsiao, Shéng Yen Solvability of linear functional equations in Lebesgue spaces. 92a:47013 

Kapitanova, Mariya B. see Schott, Dieter; et al., 92j:47027 

Kostadinov, St. 1. see Schott, Dieter; et al., 92j:47027 

Litsyna, E.M. Ona theory of linear equations in Fréchet spaces. I. (Russian) 92¢e:47018a 

— On the theory of linear equations in Fréchet spaces. III. (Russian) 92e:47018b 

Mieloszyk, Eligiusz Boundary value problems for an abstract differential equation. 
92k:47025 

Mohamed, M. Shaaban On a modified method for solutions of equations of the second kind 
with nonpositive linear operators. 92m:47018 

Nazimov, A. B. (with Awad, Labib R.) Conditions for the solvability of linear equations 
with Fredholm operators. (Russian. Tajikisummary) 92a:47014 

Nguyen Van Kinh The approximate solution of the first kind operator equation in locally 
convex spaces by discrepancy method. 92k:47026 

Nguyén Van Mau Boundary value problems and controllability of linear systems with right 
invertible operators. 92m:47019 

Niyazov, R. G. (with Srozhiddinov, Kh. M.) Sharpening of an a priori estimate for the 
solution of an operator equation. (Russian. Tajiki summary) 92¢:47019 

Onieva, Victor Manuel see Gonzdlez, Manuel, (92g:00024) 

Petrov, G. see Schott, Dieter; et al., 92j:47027 

Schock, Eberhard (with Vi Quéc Phong) Regularization of ill-posed problems involving 
unbounded operators in Banach spaces. 92k:47027 

Schott, Dieter Strong relaxations of orthogonal projectors. 92j:47028 

— (with Kostadinov, St. I.; Petrov, G.; Kapitanova, Mariya B.) Local properties of 
orthogonally reducible linear operators. 92j:47027 

Srozhiddinov, Kh. M. see Niyazov, R. G., 92e:47019 

Tarkhanov, N. N. see Aizenberg, L. A., 92d:47015 

Vii Quoc Phéng see Schock, Eberhard, 92k:47027 

Zhuraviév, V.F. see Boichuk, A. A., 92g:47012 





Items with secondary classifications in 47A50 


Aliev, B.S. Equivalence of the generalized principle, and the generalized method, of the 
residual for L-pseudosolutions. (Russian. Tajiki summary) 92a:65180 

— Estimation of the rate of convergence of the two-parameter Tikhonov regularization 
method. (Russian. Tajiki summary) 

Asimova, D. M. see Karimova, D. Kh., 92i:65097 

Azbelev, N. V. (with Berezanskii, L.M.) Stability of solutions of equations with aftereffect. 
(Russian) 92a:34084 

— (with Islamov, G. G.) On an abstract theory of a linear equation. (Russian) 92a:34088 

Bakaev, N. Yu. (with Bakushinskii, A. B.) On the theory of approximate methods for 
solving an ill-posed abstract Cauchy problem. (Russian) 92a:65181 

Bakushinskii, A. B. see Bakaev, N. Yu., 92a:65181 

Berezanskii, L.M. see Azbelev, N. V., 92a:34084 

Berg, Lothar Error estimate for a linear multistep method. 92a:65182 

Chistyakov, Aleksandr Vladimirovich Properties of a class of noncompact operators. 
(Russian) 92f:47026 

Drekova, G. V. (with Kravchenko, V.G.) Dimension and structure of the kernel and 
cokernel of a singular integral operator with linear-fractional Carleman shift and 
conjugation. (Russian) 92¢:47087 

Eicke, Bertolt (with Louis, Alfred K.; Plato, Robert) The instability of some gradient 
methods for ill-posed problems. 92a:65184 

Engl, Heinz W. (with Hodina, Giinther) Uniform convergence of regularization methods 
for linear ill-posed problems. 92k:65091 

Gorbachuk, M. L. see Gorbachuk, V. I., 92m:34133 

Gorbachuk, V.I. (with Gorbachuk, M. L.) * Boundary value problems for operator 
differential equations. 92m:34133 

Gorodnii, M. F. Bounded and periodic solutions of a difference equation and its stochastic 
analogue in a Banach space. (Russian. Ukrainian summary) 924:60068 

Hamarik, Uno On the self-regularization by solving ill-posed problems by projection 
methods. (Russian summary) 92¢:65071 

Hodina, Ginther see Engl, Heinz W., 92k:65091 

Isernhagen, Volker Die Strategie der orthogonalen Ubergange und ihre Anwendung auf zwei 
Klassen von Iterationsverfahren zur Lésung von linearen Gleichungen in Hilbertraumen. 
[The strategy of orthogonal transitions and its application to two classes of iteration 
methods for the solution of linear equations in Hilbert spaces] 92h:65090 

Islamov, G. G. see Azbelev, N. V., 92a:34088 

Ivanov, Valentin Konstantinovich (with Mel'nikova, I. V.) New generalized functions and 
weak well-posedness of operator problems. (Russian) 92j:46069 

Jédar, Lucas Boundary value problems and Green’s operator functions. (Serbo-Croatian 
summary) 92¢:34065 

Kadushin, V. P. On the approximate solution of singular integral equations with complex- 
conjugate unknowns and with monotone operators. (Russian) 92¢:47089 

Karapetyants, N. K. (with Samko, S. G.) %* YpaBHeHHs” Cc HHBOJIOTHBHBIMH OflepaTopaMH # 
4X mpHioxenua. (Russian) [Equations with involutive operators and their applications] 
92m:47020 

Karimova, D. Kh. (with Asimova, D. M.) Application and convergence of the relaxation 





7167 1992 


method in the critical case. (Russian. Tajiki summary) 92i:65097 

Karma, Otto The convergence rate of approximate eigenvalues in projection-like methods. 
(Russian summary) 92¢:65072 

Karwowski, W. Z. (with Przeworska-Rolewicz, Danuta) Green operators for linear 
boundary value problems with a right invertible operator D". 92):47009 

Katsoulis, E.G. The equation 7x = y in nest algebras. 92i:47047 

Knyazev, Andrei Vladimirovich (with Skorokhodov, A. L.) On exact estimates of the 
convergence rate of the steepest ascent method in the sy ic eigi i bl 
92g:47024 

Kon, Mark A. (with Ritter, Klaus; Werschulz, Arthur G.) On the average case solvability of 
ill-posed problems. 92h:68040 

Kravchenko, V.G. see Drekova, G. V., 92e:47087 

Krutikova, I.G. On the construction of algorithms for the approximate solution of operator 
equations by projection methods. (Russian) 92h:65092 

Kuang, Jiao Xun Incomplete semiiterative methods for solving operator equations in 
Banach space. 92i:65098 

Kuijper, A. B. A note on first kind convolution equations on a finite interval. 92g:47033 

Kuleshov, A. A. Linear integral equations of the third kind in weighted L2 spaces. II. 
(Russian) 92a:45001 

Kurbatov, V.G. * JIunettubie quddepentManbHO-pa3sHCcTHEte ypaBHenua. (Russian) [Linear 
differential-difference equations] 92k:34082 

Lardy, L. J. A class of iterative methods of conjugate gradient iype. 92c:65073 

Louis, Alfred K. see Eicke, Bertolt; et al., 92a:65184 

Makhkamov, K. Sh. see Pereverzev, S. V., 92g:65163 

Marek, Ivo (with Szyld, Daniel B.) Splittings of M-operators: irreducibility and the index 
of the iteration operator. 92f:65069 

— (with Szyld, Daniel B.) Comparison theorems for weak splittings of bounded operators. 
92£:65070 

Melnikov, E. V. A closed graph theorem and generalized well-posedness of the abstract 
Cauchy problem. (Russian) 92k:46013 

MeVnikova, I. V. see Ivanov, Valentin Konstantinovich, 92j:46069 

Mieloszyk, Eligiusz About solving some abstract linear differential equations. (see 
92d:30002) 

Mukherjee, Sulekha see Sen, Rabindranath, 92b:65042 

Nair, M. Thamban On some variants of projection method for operator equations of the 
second kind. 92a:65185 

Nguyén Van Mau Characterization of Volterra right inverses. (Polish summary) 92j:47004 

— Conditions for polynomials in right inverses with stationary and algebraic coefficients to 
be Volterra operators. 92j:47005 

Oinarov, R.O. Correctly solvable compressions of a linear operator in a Banach space. 
(Russian. English and Kazakh summaries) 92j:47006 

— (with Parasidi, I. N.) A criterion for the existence of a conjugate problem in a Banach 
space. (Russian) 92k:47005 

Parasidi, 1. N. see Oinarov, R. O., 92k:47005 

Pasenchuk, A. E. Invertibility of abstract paired operators in Hilbert spaces. (Russian) 
92b:47036 

Pereverzev, S. V. (with Solodkii, S.G.) Optimization of methods for the approximate 
solution of two-dimensional Fredholm equations of the second kind. (Russian. Ukrainian 
summary) 92a:65186 

— (with Makhkamov, K. Sh.) Galerkin information, hyperbolic cross and the complexity of 
operator equations. (Russian. Ukrainian summary) 92g:65163 

Plato, Robert see Eicke, Bertolt; et al., 92a:65184 

Poletaev, G.S. The paired equation of convolution type with kernels from different Banach 
algebras. (Russian. Ukrainian summary) 92i:47059 

Przeworska-Rolewicz, Danuta see Karwowski, W. Z., 92j:47009 

Raus, Toomas An a posteriori choice of the regularization parameter in case of approxi- 
mately given error bound of data. (Russian summary) 924:65096 

Ritter, Klaus see Kon, Mark A.; et al., 92h:68040 

Samko, S.G. see Karapetyants, N. K., 92m:47020 

Schott, Dieter Relaxations of orthogonal projectors. 92d:65098 

— Convergence statements for projection type linear iterative methods with relaxations. 
(German and Russian summaries) 924:65097 

Schréder, Johann Operator inequalities and applications. 92i:26022 

Sen, Rabindranath (with Mukherjee, Sulekha) The solution by iteration of linear equation 
with unbounded operators in a Hilbert space. 92b:65042 

Skorokhodov, A. L. see Knyazev, Andrei Vladimirovich, 92g:47024 

Solodkii, S. G. see Pereverzev, S. V., 922:65186 

Storozh, O. G. Solvability of extensions of a closed operator. (Russian) 92d:47011 

Szyld, Daniel B. see Marek, Ivo, 92f:65069 and 92f:65070 

Tsurkis, I. Ya. Solution of infinite-dimensional systems of linear equations by the reduction 
method. (Russian) 92k:65051 

Tyrtyshnikov, E. E. Singular values of Cauchy-Toeplitz matrices. 92m:47056 

Wang, Wen Yuan (with Yuan, Dong Jing) A proof of a theorem in Hilbert spaces and its 
applications. (Chinese. English summary) 92j:47013 

Wang, Yu Wen The generalized inverse operators in Banach spaces. (Russian summary) 
92j:47014 

Werschulz, Arthur G. see Kon, Mark A.; et al., 92h:68040 

Yuan, Dong Jing see Wang, Wen Yuan; et al., 92j:47013 





v 


47A53 (Semi-) Fredholm operators; index theories 
[see also 58B10, 58G12] 


Harte, Robin The ghost of an index theorem. 92j:47029 

— Index continuity for chains. 92f:47011 

Karapetyants, N. K. (with Samko, S. G.) * YpaBpHeHHsa Cc MHBONIOTHBHBIMH ONepaTopaMH KH 
4X UpHioxeHHaA. (Russian) [Equations with involutive operators and their applications] 
92m:47020 

Martinén, Antonio Operational quantities and classes of operators. 92b:47015 

— Generating real maps on a biordered set. 92j:47030 


47A General theory of linear operators 


47A53 


Mbekhta, Mostafa Sur l’unicité de la décomposition de Kato généralisée. [On the 
uniqueness of the generalized Kato decomposition] 92e:47020 

— Sur la structure des composantes connexes semi-Fredholm de B(H). [On the structure of 
semi-Fredholm connected components of B(H)] 92m:47021 

Pulyaev, V. F. On an interconnection between the Noethericity of linear operators and their 
restrictions. (Russian) 92b:47016 

Samko, S. G. see Karapetyants, N. K., 92m:47020 

Zhang, Shao Hua The structures of a class of operators and its topological properties. 
(Chinese) 92m:47022 


Items with secondary classifications in 47A53 

Albrecht, Ernst (with Wirtz, Peter Maria) Multicyclic systems of commuting operators. 
92a:47005 

Andreu, F. (with Caselles, V.; Martinez, Josep; Maz6n, José M.) The essential spectrum of 
AM-compact operators. 92j:47067 

Arora, Pramod see Arora, S. C., 92a:47006 

Arora, S.C. (with Arora, Pramod) A generalization of the joint essential spectrum. 
92a:47006 

Awad, Labib R. see Nazimov, A. B., 92a:47014 

Bercovici, Hari Co-Fredholm operators. IV. 92i:47011 

Berg, I. David (with Davidson, Kenneth R.) Almost commuting matrices and a quantitative 
version of the Brown-Douglas-Fillmore theorem. 92f:47015 

Boichuk, A. A. (with Zhuraviév, V. F.) Construction of solutions of linear Noetherian 
operator equations in Hilbert spaces. (Russian. English summary) 92g:47012 

Béttcher, Albrecht (with Spitkovskii, 1. M.) Toeplitz operators with PQC symbols on 
weighted Hardy spaces. 92k:47046 

Buraczewski, Adam Generalization of formulae of Fredholm type and determinant theory 
for rectangular matrices. 92m:47003 

Cao, Wei (with Sagher, Yoram) Stability of Fredholm properties on interpolation scales. 
92¢:46146 

Caselles, V. see Andreu, F.; et al., 92j:47067 

Chan Khy-u Bong On the Fredholm property for linear differential operators with delay and 
with a small parameter. (Russian. Tajiki summary) 92¢:47065 

Cherskii, Yu. I. Extremal problems for a Noether operator. (Russian) 92c¢:47014 

Curto, Rail E. Problems in multivariable operator theory. 92f:47001 

Davidson, Kenneth R. see Berg, I. David, 92f:47015 

Du, Hong Ke Some characterizations of semi-Fredholm operators. (Chinese summary) 
92g:47027 

Duduchava, R. V. (with Shargorodskii, E.M.) Some singular integral operators with fixed 
singularities. (Russian. English summary) 92h:47070 

Dzhangibekov, G. Noethericity and the index of a class of two-dimensional singular integral 
operators. (Russian) 92f:47051 

— Aclass of two-dimensional singular integral operators. (Russian) 92g:47074 

— Noethericity and index of some two-dimensional singular integral operators. (Russian) 
92i:47058 

— Some two-dimensional singular integral operators with a shift. (Russian) 92¢:47058 

Gonzalez, Manuel (with Martinon, Antonio; Onieva, Victor Manuel) A note on perturba- 
tions of Atkinson operators. (see 92g:00024) 

— (with Martinén, Antonio) Operational quantities and operator ideals. (see 92b:00044) 

— Properties and applications of Tauberian operators. 92k:47002 

Gordeev, S. R. The index of operators with shift, and cyclic subgroups. (Russian) 
92a:20010 

— On the index and homotopy classification of Noether operators with a finite group of 
shifts. (Russian) 92d:47065 

Grudskii, S. M. Matrix singular integral operators with infinite index. II. (Russian) 
92j:47096 

Hu, Shan Wen The principal function and index of n-tuples of hyponormal operators. 
92a:47031 

Ito, Masato Remarks on Fredholm Fourier integral operators. 92g:47081 

Karlovich, Yu. I. (with Kravchenko, V. G.; Litvinchuk, G. S.) On the Noethericity and 
Mikhlin symbols of operators of the type singular integral operators with shift type. 
(Russian. English and German summaries) 92g:47075 

Kravchenko, V.G. (with Shaev, A. K.) The theory of the solvability of singular integral 
equations with fractional-linear Carleman shift. (Russian) 92b:47075 

— (with Litvinchuk, G. S.) Noether theory of unbounded singular integral operators with 
Carleman shift. (Russian) 92c:47060 

— see also Karlovich, Yu. L.; et al., 92g:47075 

Kuijper, A. B. A note on first kind convolution equations on a finite interval. 92g:47033 

Labrousse, Jean-Philippe (with Mbekhta, Mostafa) Résolvant généralisé et séparation 
des points singuliers quasi-Fredholm. [Generalized resolvent and separation of quasi- 
Fredholm singular points] 92k:47007 

Labuschagne, L. E. On the minimum modulus of an arbitrary linear operator. 92b:47003 

Lee, Woo Young Boundaries of the spectra in 7(X). 92k:47008 

Litvinchuk, G. S. see Kravchenko, V. G., 92c:47060 and Karlovich, Yu. 1.; et al., 92g:47075 

Martinez, Josep s¢e Andreu, F.; et al., 92j:47067 

Martinén, Antonio Generating operational quantities in Fredholm theory. (see 92b:00044) 

— see also Gonzalez, Manuel, (92b:00044) and (92g:00024) 

Martin Peinador, Elena see Rodés-Usan, Alvaro Angel, (92g:00024) 

Mazon, José M. see Andreu, F.; et al., 92j:47067 

Mbekhta, Mostafa see Labrousse, Jean-Philippe, 92k:47007 

Mzhaviya, G. M. Bisingular integral equations with complex conjugation. (Russian. English 
summary) 92¢:47091 

Nazimov, A. B. (with Awad, Labib R.) Conditions for the solvability of linear equations 
with Fredholm operators. (Russian. Tajiki summary) 92a:47014 

Nyaga, V.I. Noethericity criteria for singular integral equations with linear-fractional shift 
in the space L}. (Russian) 92h:47071 

Onieva, Victor Manuel see Gonzalez, Manuel; et al., (92g:00024) 

Pérez-Garcia, Cristina Semi-Fredholm and compact operators on p-adic Banach spaces. 
92a:47076 





47A53 


Pilidi, V.S. Criteria for the uniform invertibility of regular approximations of one- 
dimensional singular integral operators with piecewise-continuous coefficients. (Russian) 
92b:47077 

— A priori estimates for bisingular operators with continuous coefficients. (Russian) 
92¢:47061 

Poletaev, G.S. The paired equation of convolution type with kernels from different Banach 
algebras. (Russian. Ukrainian summary) 92i:47059 

Qiu, Chao Xin The non-semi-Fredholm domain of spectra of linear operators. (Chinese. 
English summary) 924:47005 

Roch, Steffen (with Silbermann, Bernd) * Algebras of convolution operators and their 
image in the Calkin algebra. 92d:47067 

— Local algebras of Toeplitz operators on /?:”. 92f:47019 

Rodés-Usan, Alvaro Angel (with Martin Peinador, Elena) Classification of operators in a 
Hilbert space through images of orthonormal systems. (see 92g:00024) 

Rong, Er Qian The resolution and Noether properties of hypersingular integral operators. 
92h:47073 

Ruelle, David An extension of the theory of Fredholm determinants. 92b:58187 

Sagher, Yoram see Cao, Wei, 92¢:46146 

Schmoeger, Ch. Ein Spektralabbild z. [A spectral mapping theorem] 92h:47007 

Schulze, Horst On singular integral operators on weighted Hoelder spaces. 92h:47074 

Shaev, A. K. see Kravchenko, V. G., 92b:47075 

Shargorodskii, E.M. Singular integral operators with coefficients in P,C. (Russian. English 
summary) 92e:47043 

— see also Duduchava, R. V., 92h:47070 

Silbermann, Bernd see Roch, Steffen, 92d:47067 

Skubachevskii, A. L. On the stability of index of nonlocal elliptic problems. 92m:58128 

Soldatov, A. P. * OgHomepubie CHHTyapHbie OnepaTopbi H KpaeBble 3aa4H TeOopHH yHKUHH. 
(Russian) [One-dimensional singular operators and boundary value problems in function 
theory] 92i:47060 

Spitkovskii, I. M. see Béttcher, Albrecht, 92k:47046 

Upmeier, Harald Toeplitz operators and index theory in several complex variables. 
92f:47021 

Vasil’ev, V.B. On the index of multidimensional singular integral operators. (Russian) (see 
92£:45001) 

Vlasov, V. V. On the solvability of a class of functional-differential equations on the semi- 
axis and some spectral problems. (Russian) 92m:47156 

Wirtz, Peter Maria see Albrecht, Ernst, 92a:47005 

Zhuravilév, V. F. see Boichuk, A. A., 92g:47012 





47A55 Perturbation theory 


Adamyan, V.M. (with Neidhardt, Hagen) On the summability of the spectral shift function 
for pair of contractions and dissipative operators. 924:47016 

Akopyan, R. V. A new derivation of trace formulas for selfadjoint and unitary operators. 
(Russian. Armenian summary) 92a:47015 

Baskakov, A. G. Spectral analysis with respect to finite-dimensional perturbations of 
spectral operators. (Russian) 92m:47023 

Birman, M. Sh. Discrete spectrum in the gaps of a continuous one for perturbations with 
large coupling constant. (see 92g:35153) 

Farid, F.O. Spectral properties of perturbed linear operators and their application to 
infinite matrices. 92b:47017 

Gonzalez, Manuel (with Martinon, Antonio; Onieva, Victor Manuel) A note on perturba- 
tions of Atkinson operators. (see 92g:00024) 

Greenlee, W. M. Spectral concentration near embedded eigenvalues. 92a:47016 

Howland, James S. A note on spectral concentration for nonisolated eigenvalues. 92g:47013 

Ifantis, Evangelos K. Concavity and convexity of eigenvalues. 92h:47015 

Johnston, William W. A condition for absence of singular spectrum with an application to 
perturbations of selfadjoint Toeplitz operators. 92g:47014 

Kirichuk, P. A. Perturbation of an operator-valued function of Mittag-Leffler type. 
(Russian. English summary) 92a:47017 

Koshmanenko, V. D. One-dimensional singular perturbations of selfadjoint operators. 
(Russian) 92i:47013 

Kozono, Hideo (with Ozawa, Tohru) Relative bounds of closable operators in nonreflexive 
Banach spaces. 92e:47021 

Maagli, H. Perturbation des résolvantes et des semi-groupes par une mesure signée. 
[Perturbation of resolvents and semigroups by a sign measure] 92k:47028 

Martinon, Antonio see Gonzalez, Manuel; et al., (92g:00024) 

Neidhardt, Hagen see Adamyan, V. M., 92d:47016 

Onieva, Victor Manuel see Gonzalez, Manuel; et al., (92g:00024) 

Ozawa, Tohru see Kozono, Hideo, 92e:47021 

Simon, Barry Fifty years of eigenvalue perturbation theory. 92b:47018 

Sun, Ji Guang Perturbation expansions for invariant subspaces. 92k:47029 


Items with secondary classifications in 47A55 

Albeverio, Sergio (with Ma, Zhi Ming) Perturbation of Dirichlet forms—lower semibound- 
edness, closability, and form cores. 92i:47039 

Andreu, F. (with Martinez, Josep; Maz6n, José M.) A spectral mapping theorem for 
perturbed strongly continuous semigroups. 92i:47042 

Arai, Asao Noninvertible Bogoliubov transformations and instability of embedded 
eigenvalues. 92f:81030 

Birman, M. Sh. Discrete spectrum in the gaps of the continuous one in the large-coupling- 
constant limit. 92j:47091 

Boyadzhiev, Khristo N. (with deLaubenfels, Ralph J.) H© functional calculus for 
perturbations of generators of holomorphic semigroups. 92h:47052 


Clément, Philippe P. * On (L?-L*) coerciveness for a class of integrodifferential equation 
on the line. 924:45009 


David, Guy René (with Voiculescu, Dan) s-numbers of singular integrals for the invariance 
of absolutely continuous spectra in fractional dimensions. 92f:47014 


Deeb, W. (with Khalil, Roshdi) Best approximation in function and operator spaces. 
92a:47020 


OPERATOR THEORY 


1992 768 


Dubrovskii, V. V. Regularized trace formulas for operators with compact resolvent. 
(Russian) 92a:47002 

— Abstract formulas for regularized traces of elliptic smooth differential operators defined 
on compact manifolds. (Russian) 92m:47092 

Forster, K.-H. (with Jahn, Karsten) Extremal compressions of closed operators. 92c:47003 

Gonzalez, Manuel Properties and applications of Tauberian operators. 92k:47002 

Hsiao, Shéng Yen Solvability of linear functional equations in Lebesgue spaces. 92a:47013 

Jahn, Karsten see Forster, K.-H., 92c:47003 

Khalil, Roshdi see Deeb, W., 92a:47020 

Kozhukhar’, P. A. The absence of eigenvalues for operators that are close to operators 
generated by infinite-dimensional Jacobi matrices. (Russian) 92b:47038 

deLaubenfels, Ralph J. Bounded, commuting multiplicative perturbations of strongly 
continuous group generators. 92f:47039 

— see also Boyadzhiev, Khristo N., 92h:47052 

Levitan, B. M. (with Sargsyan, I. S.) * Sturm-Liouville and Dirac operators. 92i:34119 

Ma, Zhi Ming see Albeverio, Sergio, 92i:47039 

Martinez, Josep see Andreu, F.; et al., 92i:47042 

Mazé6n, José M. see Andreu, F.; et al., 92i:47042 

Mbekhta, Mostafa Sur la structure des composantes connexes semi-Fredholm de B(H). [On 
the structure of semi-Fredholm connected components of B(H)] 92m:47021 

McEachin, R. A sharp estimate in an operator inequality. 92h:47009 

Naboko, S. Ya. Estimates in operator classes for the difference of functions from the Pick 
class of accretive operators. (Russian) 92k:47070 

Nair, M. Thamban On strongly stable approximations. 92k:47034 

Noakes, J. Lyle Invariant subspaces and perturbations. 92e:47009 

Peller, V. V. Hankel operators in the perturbation theory of unbounded selfadjoint 
operators. 924:47037 

Putinar, Mihai Inverse problems of perturbation theory and moment problems. 92m:47031 

del Rio Castillo, Rafael R. Embedded eigenvalues of Sturm-Liouville operators. 92h:47067 

Sargsyan, I.S. see Levitan, B. M., 92i:34119 

Simon, Barry Fifty years of eigenvalue perturbation theory. 92i:81059 

Voiculescu, Dan see David, Guy René, 92f:47014 

Watanabe, Kazuo Smooth perturbations of the selfadjoint operator |A|°/?. 92j:47094 

Xu, Gen Qi A perturbation theorem for the essential spectral radius of strongly continuous 
semigroups. (Chinese) 92d:47057 

Yakovlev, S. I. Perturbations of a singular spectrum in a selfadjoint Friedrichs model. 
(Russian) 92e:47036 


47A56 Functions whose values are linear operators (operator and 
matrix pencils, etc.) 


Alpay, Daniel (with Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba) Realization and 
factorization for rational matrix functions with symmetries. 92j:47031 

Ashurov, S. B. On the equivalence of some of the root vectors of a quadratic pencil of 
nonselfadjoint operators. (Russian. Tajiki summary) 92m:47024 

Ball, Joseph A. see Alpay, Daniel; et al., 92j:47031 

Borogovac, M. Multiplicities of nonsimple zeros of meromorphic matrix functions of the 
class Nz*". 92i:47014 

Forster, K.-H. (with Nagy, Béla) Some properties of the spectral radius of a monic operator 
polynomial with nonnegative compact coefficients. 92g:47015 

Fraguela Collar, Andrés Some problems in the spectral theory of operator matrices. 
(Russian) 92k:47030 

Gohberg, Israel see Alpay, Daniel; et al., 92j:47031 

Krupnik, I. N. On the basis property of the eigenvectors of a holomorphic selfadjoint 
operator-valued function. 92g:47016 

Langer, Heinz (with Schneider, Albert!) On spectral properties of regular quasidefinite 
pencils F —- AG. 92d:47017 

Linden, Hansjorg (with Menzel, Josef) On the trace of certain rational operator functions. 
92m:47025 

Menzel, Josef see Linden, Hansjérg, 92m:47025 

Miloslavskii, A. I. On the instability spectrum of an operator pencil. (Russian) 92d:47018 

Mustyatsa, I. V. The Vandermonde operator of a quasi-elliptic operator pencil. (Russian. 
English and Moldavian summaries) 92g:47017 

Nagy, Béla see Forster, K.-H., 92g:47015 

Pivovarchik, V. N. On the total algebraic multiplicity of the spectrum in the right half-plane 
for a class of quadratic operator pencils. (Russian) 92g:47018 

Power, S.C. Spectral characterization of the Wold-Zasuhin decomposition and prediction- 
error operator. 92j:47032 

Radzievskii, G. V. Minimality of derivative chains that correspond to a boundary value 
problem on a finite segment. (Russian. Ukrainian summary) 924:47019 

Ran, André C. M. (with Rodman, Leiba) On symmetric factorizations of rational matrix 
functions. 92m:47026 

Rodman, Leiba On factorization of selfadjoint operator polynomials. 92e:47022 

— see also Alpay, Daniel; et al., 92j:47031 and Ran, André C. M., 92m:47026 

Schneider, Albert! see Langer, Heinz, 92d:47017 

Zemskov, L.M. Monotone functions of J-Hermitian operators. (Russian) 92h:47016 





Items with secondary classifications in 47A56 

Adukov, V.M. On Wiener-Hopf factorization of meromorphic matrix functions. 
92m:47039 

Arazy, Jonathan (with Barton, Thomas Joseph; Friedman, Yaakov) Addendum: “Operator 
differentiable functions” [Integral Equations Operator Theory 13 (1990), no. 4, 462-487; 
MR 91d:47012]. 92g:47021 

Arlinskii, Yu. M. Characteristic functions of operators of the class C(a). (Russian) 
92k:47021 

Arov, D. Z. Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. I. (Russian) 92i:30034a 

— y-generating matrices, j-inner matrix functions and related extrapolation problems. II. 
(Russian) 92i:30034b 





769 1992 


— Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. III. (Russian) 92i:30034c 

Balinskii, A. I. A connection between problems that are nonlinear with respect to the 
spectral parameter and multiparameter spectral problems. (Russian) 92b:47025 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) * Interpolation of rational matrix 
functions. 92m:47027 

— (with Rakowski, Marek) Zero-pole structure of nonregular rational matrix functions. 
92i:47094 

— (with Gohberg, Israel; Rodman, Leiba) Tangential interpolation problems for rational 
matrix functions. (see 92a:15001) 

— (with Rakowski, Marek) Null-pole subspaces of nonregular rational matrix functions. 
92i:15015 

Barkar’,S.M. On the spectrum of a boundary value problem in the open right half-plane. 
(Russian. English and Moldavian summaries) 92i:47054 

Barton, Thomas Joseph see Arazy, Jonathan; et al., 92g:47021 

Belishev, M.1I. (with Putov, M. V.) A finite-dimensional inverse spectral problem for a 
pencil of Hermitian quadratic forms. (Russian. English summary) 92c:15017 

Binding, P. A. (with Ye, Qiang) Some general local variational principles. 92j:47037 

Boimatov, K. Kh. (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of 
differential operators. (Russian) 92d:47063 

— (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of differential 
operators on a compact manifold without boundary. (Russian) 92a:47057 

— Distribution of eige of poly ial pencils of pseudodifferential operators on a 
compact manifold without boundary. (Russian) 92i:58186 

— (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of differential 
operators in bounded domains. (Russian) 92i:47055 

— Spectral asymptotics of linear and nonlinear pencils of pseudodifferential operators that 
are elliptic in the Douglis-Nirenberg sense. (Russian) 92m:58141 

Bruinsma, Piet Degenerate interpolation problems for Nevanlinna pairs. 92g:47020 

Dym, Harry (with Young, Nicholas) Factorization and the Schur-Cohn matrix of a matrix 
polynomial. 92h:15010 

Friedman, Yaakov see Arazy, Jonathan; et al., 92g:47021 

Fritzsche, Bernd (with Kirstein, Bernd) A Schur type matrix extension problem. IV. 
92i:47017 

Gingold, Harry (with Hsieh, Po-Fang) Note on an algorithm for globally analytic triangu- 
larization of a matrix function. 92j:15004 

Gohberg, Israel see Ball, Joseph A.; et al., 92m:47027 and (92a:15001) 

Hsieh, Po-Fang see Gingold, Harry, 92j:15004 

Kalenyuk, P. 1. (with Nitrebich, Z.N.) A multiparameter analogue of the M. V. Keldysh 
system that determines chains of eigen- and associated vectors of operator pencils 
associated with operator-differential equations. (Russian) 92c:47018 

Karma, Otto On the convergence of eigenvalues by approximation of the problem. (Russian 
summary) 92a:47025 

Kheifets, A. Ya. A generalized bitangential Schur-Nevanlinna-Pick problem and its related 
Parseval equality. (Russian) 92a:47019 

Kirichuk, P. A. Perturbation of an operator-valued function of Mittag-Leffler type. 
(Russian. English summary) 92a:47017 

— On a regular operator-valued function of Mittag-Leffler type. (Russian. English summary) 
92j:47076 

— An operator-valued function of Mittag-Leffler type and a probabilistic formula for solving 
the abstract Cauchy problem. (Russian) 92j:47077 

Kirstein, Bernd see Fritzsche, Bernd, 92i:47017 

Kostyuchenko, A. G. see Boimatov, K. Kh., 92a:47057; 92d:47063 and 92i:47055 

Kozlov, Vladimir Arkad’evich (with Maz'ya, V.G.) On the spectrum of an operator pencil 
generated by the Neumann problem in a cone. (Russian) 92m:47093 

— (with Rossmann, Jiirgen) On the behaviour of the spectrum of parameter-dependent 
operators under small variation of the domain and an application to operator pencils 
generated by elliptic boundary value problems in a cone. 92m:47095 

— On the spectrum of a pencil generated by the Dirichlet problem for an elliptic equation in 
an angle. (Russian) 92m:47094 

Krein, S. G. (with Tovbis, A. 1.) Linear singular differential equations in finite-dimensional 
and Banach spaces. (Russian) 92e:34003 

Krupkin, P. L. On the spectrum of a pencil of compact operators. (Russian) 

Krupnik, I. N. Decomposition of a matrix pencil into linear factors. (Russian) 92d:15014 

Langer, Heinz (with Mller, Manfred) Linearization of boundary eigenvalue problems. 
92g:47069 

Lerer, Leonid (with Rodman, Leiba; Tismenetsky, Miron) Inertia theorems for matrix 
polynomials. 92k:15026 

Magerramov, A. M. see Maksudov, F. G.; et al., 92a:47055 

Maksudov, F.G. (with Magerramov, A. M.; Mamedov, M. Z.) Spectral analysis of pencils 
of differential operators of special type. (Russian) 92a:47055 

Mamedov, M. Z. see Maksudov, F. G.; et al., 92a:47055 

Maz’ya, V.G. see Kozlov, Viadimir Arkad’evich, 92m:47093 

Moller, Manfred see Langer, Heinz, 92g:47069 

Nikoukhah, Ramine Constructing autonomous boundary-value linear systems from acausal 
input-output functions. 92m:47159 

Nitrebich, Z. N. see Kalenyuk, P. I., 92c:47018 

Parada, Raul Felipe Study of a linear pencil of operators associated with a stability problem 
in fluid mechanics. (Spanish. English summary) 92i:76048 

Putov, M. V. see Belishev, M. I., 92c:15017 

Ragimov, M. B. Operator pencils and almost periodicity of bounded solutions of second- 
order differential equations. (Russian) 92h:34117 

Rakowski, Marek Generalized pseudoinverses of matrix valued functions. 924:15018 

— see also Ball, Joseph A., 92i:15015 and 92i:47094 

Rodman, Leiba see Lerer, Leonid; et al., 92k:15026; Ball, Joseph A.; et al., 92m:47027 and 
(92a:15001) 

Rossmann, Jiirgen see Kozlov, Viadimir Arkad’evich, 92m:47095 

Shkalikov, A. A. (with Shkred, A. V.) A problem on steady oscillations of a transversally 
isotropic half-cylinder. (Russian) 92j:47140 

Shkred, A. V. see Shkalikov, A. A., 92j:47140 





47A General theory of linear operators 


47A57 


Smirnov, Yu. G. The method of operator pencils in boundary value problems of conjugation 
for a system of elliptic equations. (Russian) 92m:35073 

Stepin, S. A. Spectral analysis of a singular boundary value probl 
vibrations of the atmosphere. (Russian) 92f:34020 

— The vertical structure of vibrations in the atmosphere: double completeness of eigenfunc- 
tions of the problem. (Russian) 92f:34021 

Szafraniec, Franciszek Hugon Kato-Protter type inequalities, bounded vectors and the 
exponential function. 92¢:47067 

Tismenetsky, Miron see Lerer, Leonid; et al., 92k:15026 

Tovbis, A. I. see Krein, S. G., $2e:34003 

Virabyan, G. V. Operator pencils generated by the Poincaré problem. (Russian. English and 
Armenian summaries) 92m:47098 

Wang, Xiao Ming On operator-valued roots of commutative analytic functions. (Chinese) 
92¢:47033 

Ye, Qiang see Binding, P. A., 92j:47037 

Young, Nicholas see Dym, Harry, 92h:15010 





that models the 


47A57 Operator methods in interpolation, moment and extension 
problems [see also 30E05, 42A70, 42A82] 


Arocena, Rodrigo On a geometric interpretation of Schur parameters. 92i:47015 

Arov, D. Z. The Carathéodory theorem for matrix-functions, the maximal jump of spectral 
functions in continuation problems. (Russian) 92i:47016 

Atanasiu, Dragu Probléme des moments sur des polytopes convexes et généralisations. 
(English summary) [Moment problem for convex polytopes and generalizations] 
92h:47017 

Augenstein, David L. see Frazho, Arthur E., 92d:47022 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) * Interpolation of rational matrix 
functions. 92m:47027 

— (with Carpenter, Lonnie E.) Realizations of products and Wiener-Hopf factors for a class 
of matrix functions analytic in a strip. 92g:47019 

— (with Gohberg, Israel; Rodman, Leiba; Shalom, Tamir) On the eigenvalues of matrices 
with given upper triangular part. 92¢:47015 

Bercovici, Hari (with Foias, Ciprian; Tannenbaum, Allen) Structured interpolation theory. 
92k:47032 

— (with Foias, Ciprian; Tannenbaum, Allen) Spectral variants of the Nevanlinna-Pick 
interpolation problem. 92k:47031 

— (with Foias, Ciprian; Tannenbaum, Allen) On spectral tangential Nevanlinna-Pick 
interpolation. 92d:47020 

Bruinsma, Piet Degenerate interpolation p for Ne 

Carpenter, Lonnie E. see Ball, Joseph A., 92g:47019 

Dym, Harry RKHS, LIS and interpolation. 92j:47033 

Foias, Ciprian (with Frazho, Arthur E.) * The commutant lifting approach to interpolation 
problems. 92k:47033 

— (with Tannenbaum, Allen) On the singular values of the four-block operator and certain 
generalized interpolation problems. 924:47021 

— see also Bercovici, Hari; et al., 92d:47020; 92k:47031 and 92k:47032 

Frazho, Arthur E. A note on the commutant lifting theorem and a generalized four block 
problem. 92b:47019 

— (with Augenstein, David L.) A remark on two solutions to the rational Nehari interpola- 
tion problem. 92d:47022 

— Acommutant lifting approach to tangential interpolation. 92m:47028 

— see also Foias, Ciprian, 92k:47033 

Friedrich, Jirgen Nevanlinna parametrization of extensions of positive definite operator- 
valued functions. 924:47023 

— Operator moment problems. 92f:47012 

Fritzsche, Bernd (with Kirstein, Bernd) A Schur type matrix extension problem. IV. 
92i:47017 

— (with Kirstein, Bernd) Schuranalysis—Umfassende Entfaltung einer mathematischen 
Methode. [Schur analysis—comprehensive evolution of a mathematical method] (see 
92m:00034) 

Gavruta, P. (with Paunescu, D.) Moment problems for operators. 92m:47029 

Gekhtman, M. I. (with Kalyuzhnyi, A. A.) Spectral theory of orthogonal polynomials of 
several variables. (Russian. Ukrainian summary) 92j:47034 

Georgijevi¢é, Du3an R. On operator valued multiple interpolation. 92h:47018 

Gohberg, Israel (with Rubinstein, Sorin) Minimal symplectic orbits of rational contractive 
matrix functions. 92a:47018 

— (with Kaashoek, M. A.; Woerdeman, H. J.) A maximum entropy principle in the general 
framework of the band method. 92b:47020 

— see also Ball, Joseph A.; et al., 92c:47015 and 92m:47027 

Kaashoek, M. A. see Gohberg, Israel; et al., 92b:47020 

Kalyuzhnyi, A. A. see Gekhtman, M. I., 92j:47034 

Kheifets, A. Ya. A generalized bitangential Schur-Nevanlinna-Pick problem and its related 
Parseval equality. (Russian) 92a:47019 

Kirstein, Bernd see Fritzsche, Bernd, 92i:47017 and (92m:00034) 

McCullough, Scott Carathéodory interpolation kernels. 92m:47030 

Paunescu, D. see Gavruta, P., 92m:47029 

Putinar, Mihai Inverse problems of perturbation theory and moment problems. 92m:47031 

Rodman, Leiba see Ball, Joseph A.; et al., 92c:47015 and 92m:47027 

Rubinstein, Sorin see Gohberg, Israel, 92a:47018 

Shalom, Tamir see Ball, Joseph A.; et al., 92c:47015 

Tannenbaum, Allen see Bercovici, Hari; et al., 92d:47020; Foias, Ciprian, 92d:47021; 
Bercovici, Hari; et al., 92k:47031 and 92k:47032 

Woerdeman, H. J. see Gohberg, Israel; et al., 92b:47020 

Items with secondary classifications in 47A57 

Alpay, Daniel (with Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba) Realization and 
factorization for rational matrix functions with symmetries. 92j:47031 


— (with Dewilde, Patrick M.) Time-varying signal approximation and estimation. 
92g:94002 





pairs. 92g:47020 





47A57 


— Some remarks on reproducing kernel Krein spaces. 92m:46038 

— On linear combinations of positive functions, associated reproducing kernel spaces and a 
non-Hermitian Schur algorithm. 92m:46039 

Arov, D. Z. Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. I. (Russian) 92i:30034a 

— y-generating matrices, j-inner matrix functions and related extrapolation problems. II. 
(Russian) 92i:30034b 

— Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. III. (Russian) 92i:30034c 

Athavale, Ameer Some operator-theoretic calculus for positive definite kernels. 92j:47050 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) Two-sided Lagrange-Sylvester 
interpolation problems for rational matrix functions. 92j:30033 

— see also Alpay, Daniel; et al., 92j:47031 

Borogovac, M. Multiplicities of nonsimple zeros of meromorphic matrix functions of the 
class N?*". 92i:47014 

de Branges, Louis A construction of Krein spaces of analytic functions. 92k:46031 

Derkach, V. A. (with Malamud, M. M.) The resolvent matrix of a Hermitian operator and 
the moment problem with gaps. (Russian) 92¢:47029 

Dewilde, Patrick M. see Alpay, Daniel, 92g:94002 

Doyle, John C. see Green, Michael; et al., 92c:93040 

Dym, Harry On reproducing kernel spaces, J unitary matrix functions, interpolation and 
displacement rank. 92f:46024 

— On reproducing kernels and the continuous covariance extension problem. 92b:42014 

— A Hermite theorem for matrix polynomials. 92g:15036 

Fil'shtinskii, V. A. see Ovcharenko, I. E., 92i:44003 

Fuhrmann, P. A. Functional models in linear algebra. 92k:93044 

Glover, Keith see Green, Michael; et al., 92c:93040 

Gohberg, Israel (with Kaashoek, M. A.; Woerdeman, H. J.) A note on extensions of band 
matrices with maximal and submaximal invertible blocks. 92k:15050 

— see also Ball, Joseph A.; et al., 92j:30033 and Alpay, Daniel; et al., 92j:47031 

Green, Michael (with Limebeer, David J. N.) Vector interpolation, %, control and model 
reduction. 92g:93046 

— (with Glover, Keith; Limebeer, David J. N.; Doyle, John C.) A J-spectral factorization 
approach to %, control. 92¢:93040 

Jorgensen, Palle E.T. Integral representations for locally defined positive definite functions 
on Lie groups. 92h:43017 

— Existence of smooth solutions to the classical moment problems. 92j:44005 

Kaashoek, M. A. see Gohberg, Israel; et al., 92k:15050 

Langer, Heinz (with Sasvari, Zoltan) Definitizing polynomials of unitary and Hermitian 
operators in Pontrjagin spaces. 92m:47069 

Langer, Helmut (with Schneider, Albert!) Some remarks about polynomials which are 
orthogonal with respect to an indefinite weight. 92m:33018 

Limebeer, David J. N. see Green, Michael; et al., 92c:93040 and 92g:93046 

Malamud, M. M. see Derkach, V. A., 92e:47029 

Melik-Adamyan, F.E. A class of canonical differential operators. (Russian. English and 
Armenian summaries) 92a:47056 

Molnér, Lajos Note on Saworotnow’s representation theorem on positive definite functions. 
92j:46097 

Ovcharenko, I. E. (with Fil'shtinskii, V. A.) On the structure of a set of special subclasses in 
the solution of the one-dimensional and the two-dimensional moment problem. (Russian) 
92i:44003 

Ozbay, Hitay (with Tannenbaum, Allen) On the synthesis of H©® optimal controllers for 
infinite-dimensional plants. 92f:93047 

Rodman, Leiba see Ball, Joseph A.; et al., 92j:30033 and Alpay, Daniel; et al., 92j:47031 

Sasva4ri, Zoltan see Langer, Heinz, 92m:47069 

Schmiidgen, Konrad Noncommutative moment problems. 92f:22030 

Schneider, Albert! see Langer, Helmut, 92m:33018 

Tannenbaum, Allen see Ozbay, Hitay, 92f:93047 

Tsekanovskii, E.R. see Tsekanovskii, V. E., 92h:47013 

Tsekanovskii, V.E. (with Tsekanovskii, E. R.) Stieltjes operator functions with gaps and 
their realization by conservative systems. (Russian) 92h:47013 

Woerdeman, H. J. see Gohberg, Israel; et al., 92k:15050 

Yakushev, V.L. Dissipativity properties of linear-fractional contraction mappings: a 
“geometric” approach. (Russian) 92g:47050 


47A58 Operator approximation theory 


Bouldin, Richard Distance to invertible linear operators without separability. 92m:47032 

Deeb, W. (with Khalil, Roshdi) Best approximation in function and operator spaces. 
92a:47020 

Dye, John M. (with Reich, Simeon) On the unrestricted iteration of projections in Hilbert 
space. 92j:47035 

Gaspar, Dumitru (with Suciu, Nicolae) Analyticity of the semispectral measures on the 
bitorus and the Szegé operator. 92b:47021 

Khalil, Roshdi see Deeb, W., 92a:47020 

Li, Shao Kuan A conjecture on nonnegative approximation. (Chinese) 

Nair, M. Thamban On strongly stable approximations. 92k:47034 

Reich, Simeon see Dye, John M., 92j:47035 

Suciu, Nicolae see Gaspar, Dumitru, 92b:47021 


Items with secondary classifications in 47A58 

Acosta Vigil, Maria Dolores Denseness of numerical radius attaining operators: renorming 
and embedding results. 92j:47017 

Bhatia, Rajendra (with Horn, Roger A.; Kittaneh, Fuad) Normal approximants of binormal 
operators. 92b:47028 

Carl, Bernd (with Stephani, Irmtraud) * Entropy, compactness and the approximation of 
operators. 92¢e:47002 

Fleming, Richard J. (with Jamison, James E.) Banach spaces with a basic inequality 
property and the best compact approximation property. 92i:46016a 

— (with Jamison, James E.) M-ideals and a basic inequality in Banach spaces. 92i:46016b 


OPERATOR THEORY 


1992 770 


Herrero, Domingo A. Similarity and approximation of operators. 92h:47020 

— A metatheorem on similarity and approximation of operators. 92h:47021 

— Limits of hypercyclic and supercyclic operators. 92g:47026 

Holub, James R. A note on best approximation and invertibility of operators on uniformly 
convex Banach spaces. 92d:47003 

Horn, Roger A. see Bhatia, Rajendra; et al., 92b:47028 

Jamison, James E. see Fleming, Richard J., 92i:46016a and 92i:46016b 

Kittaneh, Fuad see Bhatia, Rajendra; et al., 92b:47028 

Linden, Richard A. (with Salas, Héctor) Two problems on almost diagonalization of normal 
operators. 92g:47030 

Nishishiraho, Toshihiko Saturation of iterations for approximation processes on Banach 
spaces. 92m:41057 

— Saturation of iterations of multiplier operators in Banach spaces. 92m:41058 

Salas, Héctor see Linden, Richard A., 92g:47030 

Stephani, Irmtraud see Carl, Bernd, 92e:47002 


47A60 Functional calculus 


Alaarabiou, El Hachem Calcul fonctionnel et puissance fractionnaire d’opérateurs linéaires 
multivoques non négatifs. (English summary) [Functional calculus and fractional power 
of multivalued nonnegative linear operators] 92k:47035 

Arazy, Jonathan (with Barton, Thomas Joseph; Friedman, Yaakov) Addendum: “Operator 
differentiable functions” [Integral Equations Operator Theory 13 (1990), no. 4, 462-487; 
MR 91d:47012]. 92g:47021 

Baillon, Jean-Bernard (with Clément, Philippe P.) Examples of unbounded imaginary 
powers of operators. 92j:47036 

Barton, Thomas Joseph see Arazy, Jonathan; et al., 92g:47021 

Clément, Philippe P. see Baillon, Jean-Bernard, 92j:47036 

Esterle, J. (with Zarouf, F.) Sur la non compatibilité de l’équivalence de Calkin avec le 
calcul fonctionnel de Nagy-Foias. [Noncompatability of the Calkin equivalence and Nagy- 
Foias functional calculus] 92a:47021 

— (with Strouse, E.; Zouakia, F.) Theorems of Katznelson-Tzafriri type for contractions. 
92¢:47016 

Friedman, Yaakov see Arazy, Jonathan; et al., 92g:47021 

Goldberg, Maxim J. A functional calculus for a matrix perturbation of d/dx. 92m:47033 

Martinez, Ma. Dolores see Martinez Carracedo, Celso; et al., 92d:47024 

Martinez Carracedo, Celso (with Sanz Alix, Miguel A.; Martinez, Ma. Dolores) Some 
inequalities for fractional integrals and derivatives. (Russian) 92d:47024 

Ouannasser, M. Une remarque sur la classe Aj,x,. (English summary) [A remark on the class 
Ain] 92d:47025 

Sanz Alix, Miguel A. see Martinez Carracedo, Celso; et al., 924:47024 

Schiavone, S. E. Fractional powers of the retarded potential. 92h:47019 

Strouse, E. see Esterle, J.; et al., 92c:47016 

Zarouf, F. see Esterle, J., 92a:47021 

Zouakia, F. see Esterle, J.; et al., 92c:47016 


Items with secondary classifications in 47A60 


Abdelmalek, Ouahab (with Mostafa, Mbekhta) Contribution 4 la théorie spectrale 
généralisée dans les espaces de Banach. (English summary) [A contribution to general 
spectral theory in Banach spaces] 92h:47005 

Andreu, F. (with Martinez, Josep; Maz6n, José M.) A spectral mapping theorem for 
perturbed strongly continuous semigroups. 92i:47042 

Boyadzhiev, Khristo N. (with deLaubenfels, Ralph J.) H° functional calculus for 
perturbations of generators of holomorphic semigroups. 92h:47052 

Carro, M. J. (with Cerda, Joan) Fractional powers of linear operators and complex 
interpolation. 92i:46088 

Cerda, Joan see Carro, M. J., 92i:46088 

Chevreau, Bernard (with Pearcy, Carl) The isolated Fredholm spectrum in the theory of 
dual algebras. 92k:47086 

Fong, Che Kao (with Nordgren, Eric A.; Radjavi, Heydar; Rosenthal, Peter M.) Weak 
resolvents of linear operators. II. 92a:47003 

Goldberg, Maxim J. A functional calculus for a scalar perturbation of 0/0z. 92k:46060 

Kérchy, L. On the functional calculus of contractions with nonvanishing unitary asymp- 
totes. 92a:47012 

Labrousse, Jean-Philippe (with Mbekhta, Mostafa) Résolvant généralisé et séparation 
des points singuliers quasi-Fredholm. [Generalized resolvent and separation of quasi- 
Fredholm singular points] 92k:47007 

deLaubenfels, Ralph J. see Boyadzhiev, Khristo N., 92h:47052 

Li, Wing Suet On polynomially bounded operators. I. 92m:47010 

Martinez, Josep see Andreu, F.; et al., 92i:47042 

Mazén, José M. see Andreu, F.; et al., 92i:47042 

Mbekhta, Mostafa see Labrousse, Jean-Philippe, 92k:47007 

Miyazaki, Yéichi Domains of square roots of regularly accretive operators. 92¢:47045 

Mostafa, Mbekhta see Abdelmalek, Ouahab, 92h:47005 

Nahmod, Andrea R. Geometry of operators and spectral analysis on spaces of homogeneous 
type. (French summary) 92k:47098 

Nordgren, Eric A. see Fong, Che Kao; et al., 922:47003 

Octavio, Alfredo On the joint spectrum and H®-functional calculus for pairs of commuting 
contractions. 92j:47019 

Pearcy, Carl see Chevreau, Bernard, 92k:47086 

Pincus, J.D. (with Xia, Daoxing) A trace formula for subnormal operator tuples. 
92b:47030 

Prunaru, Bebe von Neumann operators are reflexive. 92h:47008 

Radjavi, Heydar see Fong, Che Kao; et al., 92a:47003 

Ricker, Werner J. Scalar-type spectral operators and C(Q)-operational calculi. 92k:47069 

Rosenthal, Peter M. see Fong, Che Kao; et al., 92a:47003 

Rybkin, A. V. The Stieltjes B-integral and the summation of spectral decompositions of 
some classes of contraction operators. (Russian) 92k:47024 

Stochel, Jerzy Bartlomiej Note on minimal spectral sets of tensor products of operators. 
(Polish summary) 92j:47022 





771 1992 


Tao, Zhi Guang On the operator equation f(A) = A. II. (Chinese summary) 92h:47023 

Unterberger, André (with Unterberger, Julianne) Série principale et quantification. (English 
summary) [Principal series and quantization] 92c:22028 

Unterberger, Julianne see Unterberger, André, 92c:22028 

Xia, Daoxing see Pincus, J. D., 92b:47030 

Zemskov, L.M. Monotone functions of J-Hermitian operators. (Russian) 92h:47016 


47A62 Equations involving linear operators, with operator 
unknowns 


Borisova, Galina S. see Slavova, S.; et al., 92f:47013 

Cain, B. E. (with Nelson, S. A.) Solutions to x — axb = w. 92m:47034 

Nelson, S. A. see Cain, B. E., 92m:47034 

Slavova, S. (with Borisova, Galina S.; Zhelev, Zh. P.) On the operator equation AX = XB. 
92f:47013 

Zhelev, Zh. P. see Slavova, S.; et al., 92f:47013 


Items with secondary classifications in 47A62 

Fialkow, Lawrence A. (with Salas, Héctor) Majorization, factorization and systems of linear 
operator equations. 92h:46086 

Kuéera, Vladimir Algebraic Riccati equation: Hermitian and definite solutions. (see 
92d:93008) 

Lancaster, Peter (with Rodman, Leiba) Solutions of the continuous and discrete-time 
algebraic Riccati equations: a review. (see 92d:93008) 

Laursen, K. B. Automatic continuity of intertwiners in topological vector spaces. 92k:47039 

Pandolfi, Luciano A Lyap h for igroups of operators. 92b:47060 

Rodman, Leiba see Lancaster, Peter, (92d:93008) 

Sagitov, M.S. A finite algorithm for splitting a /-symmetric generalized eigenvalue 
problem. (Russian) 924:65063 

Salas, Héctor see Fialkow, Lawrence A., 92h:46086 

Shulman, V.S. Multiplication operators and spectral synthesis. (Russian) 92f:47016 





47A63 Operator inequalities, operator means, shorted operators, 
etc. 


Anderson, William N., Jr. (with Trapp, George E.) The geometric mean of positive real 
operators (preliminary report). (see 92f:93005) 

Ando, Tsuyoshi (with Kubo, Fumio) Inequalities among operator symmetric function 
means. 92m:47035 

Arazy, Jonathan Operator means and networks. 924:47026 

Fujii, Masatoshi (with Furuta, Takayuki; Kamei, Eizaburo) Operator functions associated 
with Furuta’s inequality. 92e:47023 

— (with Nakamura, Masahiro) Closure in positive operators. 92m:47036 

— (with Kamei, Eizaburo) Furuta’s inequality and a generalization of Ando’s theorem. 
92i:47018 

Furuta, Takayuki see Fujii, Masatoshi; et al., 92e:47023 

Green, W. L. (with Morley, T. D.) Operator means, norm convergence and matrix 
functions. 92k:47036 

Kamei, Eizaburo see Fujii, Masatoshi; et al., 92e:47023 and 92i:47018 

Kubo, Fumio Operator means determined by an operator equation. 92g:47022 

— see also Ando, Tsuyoshi, 92m:47035 

Morley, T. D. see Green, W. L., 92k:47036 

Nakamura, Masahiro see Fujii, Masatoshi, 92m:47036 

Pekarev, E. L. A note on extreme points of the intersection of operator segments. 
924:47027 

Shmul'yan, Yu. L. On inequalities between Hermitian operators. (Russian) 92c:47017 

Trapp, George E. see Anderson, William N., Jr., (92f:93005) 


Items with secondary classifications in 47A63 

Brown, Lawrence G. (with Kosaki, Hideki) Jensen’s inequality in semi-finite von Neumann 
algebras. 92g:46078 

Hon, Jin Chuan On operator inequalities and linear combinations of operators. 92e:47060 

Khadivi, Mohammad Range inclusion and the UUP-property. 92i:47001 

Kosaki, Hideki An inequality of Araki-Lieb-Thirring (von Neumann algebra case). 
92g:46079 

— see also Brown, Lawrence G., 92g:46078 

Mazure, M.-L. Equations de convolution et formes quadratiques. (English summary) 
[Convolution equations and quadratic forms] 92k:47144 


47A65 Structure theory 


Davidson, Kenneth R. (with Herrero, Domingo A.) The Jordan form of a bitriangular 
operator. 92a:47022 

Godefroy, Gilles Opérateurs ayant un sous-espace dense de vecteurs hypercycliques. 
[Operators with a dense hypercyclic vector subspace] 92d:47028 

— (with Shapiro, Joel H.) Operators with dense, invariant, cyclic vector manifolds. 
92d:47029 

Herrero, Domingo A. Similarity and approximation of operators. 92h:47020 

— A metatheorem on similarity and approximation of operators. 92h:47021 

— (with Larson, David R.; Wogen, Warren R.) Semitriangular operators. 92m:47037 

— see also Davidson, Kenneth R., 92a:47022 

Jiang, Chun Lan A generalization of Apostol-Foias-Voiculescu’s theorem and its applica- 
tion. 92b:47022 

— Strongly irreducible operators and Cowen-Douglas operators. 92¢:47024 

Jung, [1 Bong (with Park, Chan Young) A note on operators in the classes A,,,._ 92b:47023 

— (with Kim, Yong Chan) Dual operator algebras and Co-operators. 92b:47024 

Kim, Yong Chan see Jung, Il Bong, 92b:47024 

Larson, David R. (with Wogen, Warren R.) Some problems on triangular and semi- 
triangular operators. 92i:47019 


47A General theory of linear operators 


— see also Herrero, Domingo A.; et al., 92m:47037 

Park, Chan Young see Jung, il Bong, 92b:47023 

Schweinsberg, Allen Similarity orbits and the range of the generalized derivation X — 
MX — XN. 92¢:47025 

Shapiro, Joel H. see Godefroy, Gilles, 92d:47029 

Wilkins, David R. Operators, Fuchsian groups, and automorphic bundles. 92h:47022 

Wogen, Warren R. see Larson, David R., 92i:47019 and Herrero, Domingo A.; et al., 
92m:47037 

Yoshino, Takashi On the unitary part of dominant contractions. 92m:47038 


Items with secondary classifications in 47A65 

Akcoglu, M. A. (with Baxter, J. R.; Lee, W. M. F.) Representation of positive operators and 
alternating sequences. 92i:47006 

Dossou Sur le probléme du sous-espace invariant pour certains opérateurs M- 

polynomialement bornés. (English summary) [Invariant subspaces for M-polynomially 
bounded operators] 92c:47005 

Baxter, J.R. see Akcoglu, M. A.; et al., 921:47006 

Bercovici, Hari The quasisimilarity orbits of invariant subspaces. 92e:47017 

Chan, Kit C. (with Shapiro, Joel H.) The cyclic behavior of translation operators on Hilbert 

spaces of entire functions. 92m:47060 
dndez-Garciadiego, Carlos (with Pérez Esteva, Salvador) On dual algebras and 

algebraic operators. 92d:47062 

Herrero, Domingo A. Triangular operators. 92k:47001 

Kang, Joo Ho On the unicellularity of Volterra-type integral operators. 92a:47059 

Lee, W. M. F. see Akcoglu, M. A.; et al., 92i:47006 

Lorentz, Kai On the rational homogeneous manifold structure of the similarity orbits of 
Jordan elements in operator algebras. 92i:47040 

McCarthy, John E. Quasisimilarity of rationally cyclic subnormal operators. 92a:47032 

Ostrovskii, V. L. (with Samoilenko, Yu. S.) Unbounded operators satisfying non-Lie 
commutation relations. 92g:47032 

Pérez Esteva, Salvador see Hernandez-Garciadieg 

Samoilenko, Yu. S. see Ostrovskii, V. L., 92g:47032 

Seddighi, Karim Certain invariant subspaces for operators with rich eigenvalues. 
92m:47073 

Shapiro, Joel H. see Chan, Kit C., 92m:47060 

Zajac, Michal Hyperinvariant subspace lattice of isometries. (Russian summary) 
92g:47011 








Carlos, 924:47062 





47A66 (Non)quasitriangular, (non)quasidiagonal operators 


Marcoux, Laurent On the quasidiagonality of direct sums of normal operators and shifts. 
92a:47023 


Items with secondary classifications in 47A66 

Herrero, Domingo A. Similarity and approximation of operators. 92h:47020 

— A metatheorem on similarity and approximation of operators. 92h:47021 

— Triangular operators. 92k:47001 

— (with Larson, David R.; Wogen, Warren R.) Semitriangular operators. 92m:47037 

Larson, David R. (with Wogen, Warren R.) Some problems on triangular and semi- 
triangular operators. 92i:47019 

— see also Herrero, Domingo A.; et al., 92m:47037 

Narayan, Sivaram K. Quasidiagonality of direct sums of weighted shifts. 92j:47048 

Wogen, Warren R. see Larson, David R., 92i:47019 and Herrero, Domingo A.; et al., 
92m:47037 


47A67 Representation theory 
Tao, Zhi Guang On the operator equation f(A) = A. II. (Chinese summary) 92h:47023 


Items with secondary classifications in 47A67 

Abbott, Catherine A. (with Bator, Elizabeth M.; Lewis, Paul W.) Strictly singular and 
strictly cosingular operators on spaces of continuous functions. 92e:47047 

Bator, Elizabeth M. see Abbott, Catherine A.; et al., 92e:47047 

Di, Ji Zheng Integral representation of linear operators on spaces of Bochner integrable 
functions. (Chinese. English summary) 92c:47035 

Dobrakov, Ivan Representation of multilinear operators on x Co(7;, X;). 1. 92k:47058 

Lewis, Paul W. see Abbott, Catherine A.; et al., 92¢:47047 

Prado, Humberto E. Reflection positivity for unitary representations of Lie groups. 
92£:22019 

Schmiidgen, Konrad Noncommutative moment problems. 92f:22030 


47A68 Factorization theory (including Wiener-Hopf and spectral 
factorizations) 


Adukov, V.M. On Wiener-Hopf factorization of meromorphic matrix functions. 
92m:47039 

Curto, Raul E. (with Fialkow, Lawrence A.) Operator factorizations and quasi-similarity 
orbits. 92m:47040 

Fialkow, Lawrence A. see Curto, Raul E., 92m:47040 

Poletaev, G.S. An abstract analogue of a dual equation of convolution type in a ring with a 
factorization pair. (Russian. Ukrainian summary) 92k:47037 


Items with secondary classifications in 47A68 

Alvarez, Teresa (with Gonzalez, Manuel) Factoring operators through quowhat-/, spaces. 
(see 92b:00044) 

Andrew, A. D. (with Patterson, W. M.) Range inclusion and factorization of operators on 
classical Banach spaces. 92a:47001 

Arora, S.C. (with Thukral, J. K.) Factorization of k-quasihyponormal operators. 
92¢:47031 





47A68 


Dé Céng Khanh Factorization of transfer functions. II. Minimality of passive scattering 
systems with cascade coupling. (Russian. Ukrainian summary) 92¢:47086 

— (+)-regular factorization and best minorant. (Russian) 92i:47012 

Ghoussoub, N. (with Johnson, William B.) Operators which factor through Banach lattices 
not containing co. 92j:47064 

Gohberg, Israel (with Kaashoek, M. A.; Woerdeman, H. J.) A maximum entropy principle 
in the general framework of the band method. 92b:47020 

Gonzalez, Manuel see Alvarez, Teresa, (92b:00044) 

Halmos, Paul R. Bad products of good matrices. 92e:15021 

Johnson, William B. see Ghoussoub, N., 92j:47064 

Kaashoek, M. A. see Gohberg, Israel; et al., 92b:47020 

Montgomery-Smith, S. J. The p'/? in Pisier’s factorization theorem. 92i:47021 

Newton, Roger G. Factorizations of the S matrix. 924:81145 

Patterson, W. M. see Andrew, A. D., 92a:47001 

Rodman, Leiba On factorization of seifadjoint operator polynomials. 92¢:47022 

Thukral, J. K. see Arora, S. C., 92e:47031 

Woerdeman, H. J. see Gohberg, Israel; et al., 92b:47020 


47A70 (Generalized) eigenfunction expansions; rigged Hilbert 
spaces 


Almamedov, M.S. The spectral measure of a class of selfadjoint multiparameter operators. 
(Russian) 92a:47024 

Balinskii, A. I. A connection between problems that are nonlinear with respect to the 
spectral parameter and multiparameter spectral problems. (Russian) 92b:47025 

Baranetskii, Ya. E. (with Kalenyuk, P. 1.) Multiparametric nonlocal spectral problems for 
operator-differential equations. (Russian) 92b:47026 

Bruzual, Ramon Integral representation of kernels invariant with respect to local semigroups 
of isometries and generalization of the Krein-Schwartz theorem. 92m:47041 

Jo6, Istvan On the divergence of eigenfunction expansions. 92d:47030 

Kalenyuk, P. I. (with Nitrebich, Z. N.) A multiparameter analogue of the M. V. Keldysh 
system that determines chains of eigen- and associated vectors of operator pencils 
associated with operator-differential equations. (Russian) 92c:47018 

— see also Baranetskii, Ya. E., 92b:47026 

Korobeinik, Yu. F. (with Mikhailov, A. B.) Representing systems in Cartesian products. 
(Russian) 92m:47042 

Mikhailov, A. B. see Korobeinik, Yu. F., 92m:47042 

Nitrebich, Z. N. see Kalenyuk, P. 1., 92c:47018 


Items with secondary classifications in 47A70 

Ashurov, S. B. On the equivalence of some of the root vectors of a quadratic pencil of 
nonselfadjoint operators. (Russian. Tajikisummary) 92m:47024 

Avdonin, S. A. (with Ivanov, S. A.; Jo6, Istvan) On Riesz bases from vector exponentials. I, 
II. 92m:42034 

Barnovska, M. (with Il‘in, V. A.) On the order of equiconvergence almost everywhere of 
Riesz means of nonselfadjoint extensions of the Laplace operator. (Russian. English 
summary) 92m:47089 

— see also Moiseev, E. I., 92e:34117 

Binding, P. A. (with Sleeman, B. D.) Spectral decomposition of uniformly elliptic 
multiparameter eigenvalue problems. 92g:47023 

— (with Browne, Patrick J.; Huang, Yin Xi; Picard, Rainer H.) On eigencurves of elliptic 
boundary value problems. 92j:35138 

Browne, Patrick J. see Binding, P. A.; et al., 92j:35138 

Debnath, Lokenath (with Verma, Ram U.) On multiparameter spectral theory. 92g:47005 

Dym, Harry On reproducing kernels and the continuous covariance extension problem. 
92b:42014 

Gomilko, A.M. (with Radzievskii, G. V.) Equivalence in L,[0, 1] of the system ef2akx 
(k =0,+1,---) and the system of eigenfunctions of an ordinary functional-differential 
operator. (Russian) 92m:34151 

Gubreev, G. M. Spectral analysis of biorthogonal expansions of functions in series of 
exponentials. (Russian) 92¢:47046 

Huang, Yin Xi see Binding, P. A.; et al., 92j:35138 

IVin, V. A. see Barnovska, M., 92m:47089 

Ivanov, S. A. see Avdonin, S. A.; et al., 92m:42034 

Jo6, Istvan see Avdonin, S. A.; et al., 92m:42034 

Jorgensen, Palle E.T. Imprimitivity systems associated to regions in R", connections 
between geometry and spectrum, a sample of problems. (see 92d:00034) 

Kamimura, Yutaka An expansion formula for spectral functions. 92d:47036 

Kruglikova, O. P. On boundary value-type eigenvalue problem. (Russian) 92h:47028 

Krupnik, I. N. On the basis property of the eigenvectors of a holomorphic selfadjoint 
operator-valued function. 92g:47016 

Moiseev, E. I. (with Barnovskaé, M.) Unconditional basis property of the system of 
eigen- and associated functions for a first-order differential operator in spaces of vector 
functions. (Russian. English summary) 92¢e:34117 

Ostrovskii, V.L. (with Samoilenko, Yu. S.) Unbounded operators satisfying non-Lie 
commutation relations. 92g:47032 

Panchapagesan, T. V. Uniform ordered spectral decompositions. (Spanish summary) 
92b:46118 

Picard, Rainer H. see Binding, P. A.; et al., 92j:35138 

Radzievskii,G. V. Minimality of derivative chains that correspond to a boundary value 
problem on a finite segment. (Russian. Ukrainian summary) 924:47019 

— see also Gomilko, A. M., 92m:34151 

Sakhnovich, A. L. Spectral functions of a second-order canonical system. (Russian) 
92¢:47056 

Samoilenko, Yu. S. see Ostrovskii, V. L., 92g:47032 

Shterengas, S.S. Riesz summability in L, of series in eigenfunctions of the Sturm-Liouville 
operator. (Russian) 924:34154 

Sleeman, B. D. see Binding, P. A., 92g:47023 

Verma, Ram U. see Debnath, Lokenath, 92g:47005 


OPERATOR THEORY 


47A75 Eigenvalue problems [see also 49Rxx] 


Ahués, Mario (with Arancibia, Sara; Telias, Mauricio) Rayleigh-Schrédinger series for 
defective spectral elements of compact operators in Banach spaces. I. Theoretical aspects. 
92¢:47019 

— (with Largillier, Alain) Rayleigh-Schrédinger series for defective spectral elements 
of compact operators in Banach spaces. II. Numerical comparison with some inexact 
Newton methods. 92¢:47020 

Arancibia, Sara see Ahués, Mario; et al., 92c:47019 

Binding, P. A. (with Sleeman, B. D.) Spectral decomposition of uniformly elliptic 
multiparameter eigenvalue problems. 92g:47023 

— (with Ye, Qiang) Variational principles without definiteness conditions. 92k:47038 

— (with Ye, Qiang) Some general local variational principles. 92j:47037 

Karma, Otto On the convergence of eigenvalues by approximation of the problem. (Russian 
summary) 92a:47025 

Knyazev, Andrei Vladimirovich (with Skorokhodov, A. L.) On exact estimates of the 
convergence rate of the steepest ascent method in the symmetric eigenvalue problem. 
92g:47024 

Largillier, Alain see Ahués, Mario, 92c:47020 

Sharma, C.S. The order of zeros and poles of the Weinstein determinant. 92m:47043 

Skorokhodov, A. L. see Knyazev, Andrei Vladimirovich, 92g:47024 

Sleeman, B. D. see Binding, P. A., 92g:47023 

Telias, Mauricio see Ahués, Mario; et al., 92c:47019 

Ye, Qiang see Binding, P. A., 92j:47037 and 92k:47038 


Items with secondary classifications in 47A75 

Ahués, Mario (with Largillier, Alain) Rayleigh-Schrédinger series versus inexact Newton 
methods for spectral computations. (see 92m:65053) 

Beattie, Christopher (with Greenlee, W.M.) Improved convergence rates for intermediate 
problems. 92k:49090 

Brown, R. D. Monotone convergence theorems for variational triples with applications to 
intermediate problems. 92a:49077 

Chenais, D. (with Rousselet, Bernard) Dependence of the buckling load of a nonshallow 
arch with respect to the shape of its midcurve. (French summary) 92d:73028 

Farid, F.O. Spectral properties of perturbed linear operators and their application to 
infinite matrices. 92b:47017 

Forster, K.-H. (with Nagy, Béla) Some properties of the spectral radius of a monic operator 
polynomial with nonnegative compact coefficients. 92g:47015 

Greenlee, W. M. see Beattie, Christopher, 92k:49090 

Han, Yan Bin Positive definite kernels in the class H? and their eigenvalues. (Chinese) 
92c:47059 

Haviv, Moshe (with Ritov, Ya’acov; Rothblum, Uriel G.) Taylor expansions of eigenvalues 
of perturbed matrices with applications to spectral radii of nonnegative matrices. 
92m:65057 

Hinton, D. B. (with Klaus, Martin; Shaw, J. K.) Half-bound states and Levinson’s theorem 
for discrete systems. 924:47049 

Karma, Otto The convergence rate of approximate eigenvalues in projection-like methods. 
(Russian summary) 92c:65072 

Klaus, Martin see Hinton, D. B.; et al., 92d:47049 

Kozhukhar’, P. A. The absence of eigenvalues in a perturbed discrete Wiener-Hopf operator. 
(Russian) 92k:47047 

Kruglikova, O. P. On boundary value-type eigenvalue problem. (Russian) 92h:47028 

Langer, Heinz (with Méller, Manfred) Linearization of boundary eigenvalue problems. 
92g:47069 

Largillier, Alain see Ahués, Mario, (92m:65053) 

Leader, Jeffery J. Limit orbits of a power iteration for dominant eigenvalue problems. 

Maller, Manfred see Langer, Heinz, 92g:47069 

Moszyiski, Krzysztof (with Regitiska, Teresa) On a certain algorithm of eigenvalue 
localization for normal operators. 92a:49076 

Nagy, Béla see Forster, K.-H., 92g:47015 

Nair, M. Thamban On strongly stable approximations. 92k:47034 

Oieinik, O. A. Spectral properties of operators singularly depending on parameters and 
applications to mathematical physics. 92e:47128 

Przeworska-Rolewicz, Danuta (with Rolewicz, S.) On the spectrum of right inverses. 
92j:47008 

Regitiska, Teresa see Moszytiski, Krzysztof, 92a:49076 

Reichel, Lothar (with Trefethen, Lloyd N.) Eigenvalues and pseudo-eigenvalues of Toeplitz 
matrices. 92k:15028 

Ritov, Ya’acov see Haviv, Moshe; et al., 92m:65057 

Rolewicz, S. see Przeworska-Rolewicz, Danuta, 92j:47008 

Rothblum, Uriel G. see Haviv, Moshe; et al., 92m:65057 

Rousselet, Bernard see Chenais, D., 92d:73028 

Sagitov, M.S. A finite algorithm for splitting a J-symmetric generalized eigenvalue 
problem. (Russian) 924:65063 

Sedletskii, A. M. The rate of decrease of eigenvalues of a Fredholm operator. (Russian) 
92¢:47062 

Shaw, J. K. see Hinton, D. B.; et al., 92d:47049 

Simon, Barry Fifty years of eigenvalue perturbation theory. 92b:47018 

Tayoshi, Takao Nonexistence of positive eigenvalues of the Schrédinger operator in a 
domain with unbounded boundary. 92h:35162 

Trefethen, Lloyd N. see Reichel, Lothar, 92k:15028 

Winiarska, Teresa Eigenvalues and eigenspaces with a parameter. (Russian summary) 
92j:47141 


47A80 Tensor products of operators [see also 46M05] 


Defant, Andreas (with Mascioni, Vania) Limit orders of ¢z-continuous operators. 
924:47031 
Mascioni, Vania see Defant, Andreas, 92d:47031 





773 1992 


Items with secondary classifications in 47A80 

Carl, Bernd (with Defant, Andreas) Tensor products and Grothendieck type inequalities of 
operators in Ly-spaces. 92g:47035 

Cobos, Fernando (with Fernandez-Cabrera, Luz M.) On the tensor stability of some 
operator ideals. (Russian summary) 92:47048 

Defant, Andreas see Carl, Bernd, 92g:47035 

Elezovié, Neven p-summing operators defined on tensor products of Banach spaces. (Serbo- 
Croatian summary) 92a:47029 

Fernandez-Cabrera, Luz M. see Cobos, Fernando, 92f:47048 

Pineiro, Candido Tensor products of almost r-summing maps. 92g:47029 

Rosenthal, Haskell Paul (with Szarek, Stanislaw J.) On tensor products of operators from 
TL? to L4. 92m:47062 

Stochel, Jerzy Bartlomiej Note on minimal spectral sets of tensor products of operators. 
(Polish summary) 92j:47022 

Szarek, Stanislaw J. see Rosenthal, Haskell Paul, 92m:47062 

Verma, Ram U. Joint spatial numerical range of tensor products. 92j:47018 


47A99 None of the above, but in this section 


Alikakos, Nicholas D. (with Fusco, Giorgio) A dynamical systems proof of the Krein- 
Rutman theorem and an extension of the Perron theorem. 92b:47027 

Fujii, Masatoshi (with Sasaoka, Hiromitsu; Watatani, Yasuo) The numerical radius of an 
infinite directed graph. 92g:47025 

Fusco, Giorgio see Alikakos, Nicholas D., 92b:47027 

Grigorieff, Rolf Dieter Note on von Neumann’s trace inequality. 92h:47024 

Gusarenko, S. A. The generalized Volterra property and its applications to a linear 
functional-partial differential equation. (Russian) (see 91e:34070) 

Herrero, Domingo A. Limits of hypercyclic and supercyclic operators. 92g:47026 

— The diagonal entries of a Hilbert space operator. 92m:47044 

Laursen, K. B. Automatic continuity of intertwiners in topological vector spaces. 92k:47039 

Melikhov, S. N. Nontrivial decompositions of zero and representative subspaces. (Russian) 
924:47032 

Roach, Gary F. see Xu, Zong Ben, 92a:47026 

Sasaoka, Hiromitsu see Fujii, Masatoshi; et al., 92g:47025 

Széz, Arpad Pointwise limits of nets of multilinear maps. 92m:47045 

Watatani, Yasuo see Fujii, Masatoshi; et al., 92g:47025 

Xu, Zong Ben (with Roach, Gary F.) An alternating procedure for operators on uniformly 
convex and uniformly smooth Banach spaces. 92a:47026 


Items with secondary classifications in 47A99 


Aiena, Pietro Riesz operators and perturbation ideals. 92¢:47026 

Arora, S.C. (with Bala, Pawan) Hereditarily strictly cyclic operator algebras. 92d:47060 

Bala, Pawan see Arora, S. C., 924:47060 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba; Shalom, Tamir) On the eigenvalues 
of matrices with given upper triangular part. 92¢:47015 

Baskakov, A.G. Wiener’s theorem and asymptotic estimates for elements of inverse 
matrices. (Russian) 92g:47049 

Beattie, Ronald (with Butzmann, H.-P.) On the Banach-Steinhaus theorem and the 
continuity of bilinear mappings. 92h:46070 

Bonsall, F. F. A general atomic decomposition theorem and Banach’s closed range theorem. 
92£:46017 

Brito, Wilman Permanence of local Radon-Nikodym and Krein-Mil‘man properties via 
Tauberian operators. (Spanish) 924:46051 

Butzmann, H.-P. see Beattie, Ronald, 92h:46070 

Chan, Raymond H. (with Jin, Xiao Qing; Yeung, Man-Chung) The circulant operator in the 
Banach algebra of matrices. 92f:15004 

Constantinescu, Tiberiu Schur analysis for invertible matrices. 92f:15002 

Curto, Rail E. (with Fialkow, Lawrence A.) Operator factorizations and quasi-similarity 
orbits. 92m:47040 

Davidson, Kenneth R. (with Herrero, Domingo A.) The Jordan form of a bitriangular 
operator. 92a:47022 

— Lifting positive elements in C*-algebras. 92f:46065 

Delvos, Franz-Jiirgen (with Schempp, Walter) * Boolean methods in interpolation and 
approximation. 92k:41003 

De Moor, Bart L. R. (with Golub, Gene Howard) The restricted singular value decomposi- 
tion: properties and applications. 92k:15012 

D’yakonov, K. M. Entire functions of exponential type and model subspaces in H?. 
(Russian. English summary) 92h:30072 

Fialkow, Lawrence A. see Curto, Raul E., 92m:47040 

Fritzsche, Bernd (with Kirstein, Bernd) A Schur type matrix extension problem. IV. 
92i:47017 

Gohberg, Israel (with Rubinstein, Sorin) A classification of upper equivalent matrices. The 
generic case. 92f:15009 

— see also Ball, Joseph A.; et al., 92c:47015 

Goldman, Mikhail Abramovich A remark on splines in Hilbert spaces. (Russian. English and 
Latvian summaries) 92m:41028 

Golub, Gene Howard see De Moor, Bart L. R., 92k:15012 

Halmos, Paul R. * Matrices I have met. 92e:15002 

— Bad products of good matrices. 92e:15021 

Haluska, Jan On the generalized continuity of the semivariation in locally convex spaces. 
92k:28018 

Hatano, Naomichi (with Suzuki, Masuo) Correction-term theorem concerning decomposi- 
tions of exponential operators. 92b:47116 

Herrero, Domingo A. see Davidson, Kenneth R., 92a:47022 

Jin, Xiao Qing see Chan, Raymond H.; et al., 92f:15004 

Kirstein, Bernd see Fritzsche, Bernd, 92i:47017 

Kittaneh, Fuad On zero-trace matrices. 92d:15022 

Krishnan, E. (with Valanthara, Sherly) Semigroup of finite rank operators. 92k:47076 

Labrousse, Jean-Philippe (with Mercier, Brigitte) Extension du théor¢me de Brown- 
Douglas-Fillmore au cas des opérateurs non bornés. [Extension of the Brown-Douglas- 


47B Special classes of linear operators 


47B06 


Fillmore theorem to the case of unbounded operators] 92j:47040 

Li, Rong Lu (with Swartz, Charles) Equicontinuity and uniform boundedness. (Italian 
summary) 92j:46028 

Lu, Guang Cun The resonance theorem for a class of families of nonlinear operators. 
(Chinese) 92m:47147 

Mantlik, Frank Isomorphic classification and lifting theorems for spaces of differentiable 
functions with Lipschitz conditions. 92¢:46073 

— Differentiable bundles of subspaces and operators in Banach spaces. 92i:46043 

Maté, Laszi6 Remarks on the Ptak-Stein theorem. 92k:46012 

Mercier, Brigitte see Labrousse, Jean-Philippe, 92j:47040 

Nakazi, Takahiko Bounded Hankel forms with weighted norms and lifting theorems. 
92h:47031 

Onal, Siileyman (with Yurdakul, M.) A note on strictly singular operators. (Turkish 
summary) 92¢:47001 

Orlovskii, D.G. Weak and strong solutions of inverse probl for diffe 
a Banach space. (Russian) 92g:34082 

Potthoff, Jiirgen (with Réckner, Michael) On the contraction property of energy forms on 
infinite-dimensional space. 92a:46051 

Ptak, Marek Reflexivity of multiplication operators in certain domains in C”. (Russian 
summary) 92e:47051 

Radjabalipour, Mehdi Simultaneous triangularization of algebras of polynomially compact 
operators. 92h:47061 

Réckner, Michaei see Potthoff, Jiirgen, 92:46051 

Rodman, Leiba see Ball, Joseph A.; et al., 92c:47015 

van Rooij, A.C. M. A determinant for almost-isometric linear maps. 92e:47132 

Rubinstein, Sorin see Gohberg, Israel, 92f:15009 

Schempp, Walter see Delvos, Franz-Jiirgen, 92k:41003 

Shalom, Tamir see Ball, Joseph A.; et al., 92c:47015 

Shelukhin, V. V. On the solution of linear evolution equations by the variational method. 
(Russian) 92i:34080 

Snyder, A. K. (with Stoudt, Gary S.) Basis in Banach space, strictly cosingular maps, and 
the Wilansky property. 92m:46023 

Stacey, P. J. Product shifts on B(H). 92¢:46068 

Stein, J. D., Jr. Partial pointwise-bounded and an argument of Ptak. 92j:46038 

Steinig, Bernhard On the essential maximality of linear operators in a Hilbert space. 
92j:47011 

Stoudt, Gary S. see Snyder, A. K., 92m:46023 

Suzuki, Masuo see Hatano, Naomichi, 92b:47116 

Swartz, Charles see Li, Rong Lu, 92j:46028 

Szafraniec, Franciszek Hugon Kato-Protter type inequalities, bounded vectors and the 
exponential function. 92¢:47067 

Takaguchi, Makoto Centers of mass for operator-families. 92j:47020 

Triméche, K. Transmutation operators and mean-periodic functions associated with 
differential operators. 92¢:43004 

Valanthara, Sherly see Krishnan, E., 92k:47076 

Valdivia, Manuel Projective resolutions of the identity operator and Markushevich bases in 
some Banach spaces. (Spanish. English summary) 92m:46032 

Waelbroeck, Lucien Holomorphic functions taking their values in a quotient bornological 
space. 92g:46001 

Wang, Jin Hsien (with Wu, Pei Yuan) Sums of square-zero operators. 92m:47075 

Wu, Pei Yuan see Wang, Jin Hsien, 92m:47075 

Xuan, Heng Nong A general form of the uniform boundedness principle. (Chinese) 
92i:46012 

Yan, Zi Kun Linear correlations of operators and their application. (Chinese) 

Yeung, Man-Chung see Chan, Raymond H.; et al., 92f:15004 

Ylinen, Kari Representing completely bounded multilinear operators. 92k:46098 

Yurdakul, M. see Onal, Siileyman, 92c:47001 





ial equations in 





47Bxx Special classes of linear operators 


Karadzhov, Georgi E. Spectral asymptotics for Toeplitz matrices generated by the Poisson- 
Charlier polynomials. 

Samoilenko, Yu. S. * Spectral theory of families of selfadjoint operators. 92j:47038 

(Tisjachnij, E. V.) see Samoilenko, Yu. S., 92j:47038 


Items with secondary classifications in 47Bxx 
Pr ka-Rolewicz, Danuta Ad ges of one-dimensional kernels. 92j:47010 





47B06 Riesz operators; eigenvalue distributions; approximation 
numbers, s-numbers, Kolmogorov numbers, entropy 
numbers, etc. of operators 


Aiena, Pietro Riesz operators and perturbation ideals. 92e:47026 

Akashi, Shigeo The asymptotic behavior of e-entropy of a compact positive operator. 
92a:47027 

Carl, Bernd Entropy and n-widths of operators in Banach spaces. 92k:47040 

David, Guy René (with Voiculescu, Dan) s-numbers of singular integrals for the invariance 
of absolutely continuous spectra in fractional dimensions. 92f:47014 

Geiss, Stefan Grothendieck numbers of linear and continuous operators on Banach spaces. 
92h:47025 

Martins, Jorge A. Sampaio Real interpolation and eigenvalues of Riesz operators. 
(Portuguese) (see 92m:00049) 

Pietsch, Albrecht Approximation numbers of nuclear operators and geometry of Banach 
spaces. 92i:47020 

— Eigenvalue distributions and geometry of Banach spaces. 92d:47033 

Voiculescu, Dan see David, Guy René, 92f:47014 

Zhong, Huai Jie On two conjectures about the West decomposition of Riesz operators. 
(Chinese) 92j:47039 





47B06 


— Convergent sequences of projection operators in Banach spaces and their applications. 
(Chinese. English summary) 92a:47028 


Items with secondary classifications in 47B06 


Aksoy, Asuman Giiven Q-compact sets and Q-compact maps. 92c:47021 

Caetano, Anténio M. Weyl numbers in function spaces. II. 92m:46044 

Carl, Bernd (with Stephani, Irmtraud) * Entropy, compactness and the approximation of 
operators. 92¢:47002 

Cobos, Fernando (with Fernandez-Cabrera, Luz M.) On the tensor stability of some 
operator ideals. (Russian summary) 92f:47048 

David E. (with Sun, Jiong) Approximation and entropy numbers of Sobolev 

embeddings over domains with finite measure. 92i:46034 

Fernandez-Cabrera, Luz M. see Cobos, Fernando, 92f:47048 

Han, Yan Bin Singular numbers and eigenvalues of H” kernels. (Chinese) 92¢:47088 

Miyazaki, Yéichi Application of interpolation spaces with a function parameter to the 
eigenvalue distribution of compact operators. 92g:47028 

Stephani, Irmtraud see Carl, Bernd, 92e:47002 

Stroh, Anton (with Swart, Johan) A Riesz theory in von Neumann algebras. 92¢:46063 

Sun, Jiong see Edmunds, David E., 92i:46034 

Swart, Johan see Stréh, Anton, 92c:46063 


47B07 Operators defined by compactness properties 


Aksoy, A Given Q. t sets and Q-compact maps. 92c:47021 

Alvarez, Teresa (with Gonzalez, Manuel) Factoring operators through quowhat-/, spaces. 
(see 92b:00044) 

Aron, Richard M. (with Rajappa, Asthagiri K.) Weak continuity of mappings between 
spaces of compact operators. 92d:47034 

Du, Hong Ke Some characterizations of semi-Fredholm operators. (Chinese summary) 
92g:47027 

Gonzalez, Manuel see Alvarez, Teresa, (92b:00044) 

Labrousse, Jean-Philippe (with Mercier, Brigitte) Extension du théoréme de Brown- 
Douglas-Fillmore au cas des opérateurs non bornés. [Extension of the Brown-Douglas- 
Fillmore theorem to the case of unbounded operators] 92j:47040 

Mercier, Brigitte see Labrousse, Jean-Philippe, 92j:47040 

Miyazaki, Yéichi Application of interpolation spaces with a function parameter to the 
eigenvalue distribution of compact operators. 92g:47028 

Rajappa, Asthagiri K. see Aron, Richard M., 924:47034 

Wojtaszczyk, P. Some remarks on the Daugavet equation. 92k:47041 

Zheng, Xi Yin Weakly compact linear operators into L(y). 92¢:47022 





Items with secondary classifications in 47B07 

Abramovich, Yuri A. (with Aliprantis, Charalambos D.; Burkinshaw, Owen) The Daugavet 
equation in uniformly convex Banach spaces. 92i:47005 

Aliprantis, Charalambos D. see Abramovich, Yuri A.; et al., 92i:47005 

Brito, Wilman Permanence of local Radon-Nikodym and Krein-Mil'man properties via 
Tauberian operators. (Spanish) 924:46051 

Burkinshaw, Owen see Abramovich, Yuri A.; et al., 92i:47005 

Carl, Bernd (with Stephani, Irmtraud) * Entropy, compactness and the approximation of 
operators. 92e:47002 

Castillo, Jestis M. F. (with Sanchez Fernandez, Fernando) Approximation properties 
defined by the ideal of compact operators. (Turkish summary) 92k:46002 

Cherdak, V. B. On the order spectrum of r-compact operators in lattice-normed spaces. 
(Russian) 92h:47006 

Cobos, Fernando (with Peetre, Jaak) Interpolation of compact operators: the multidimen- 
sional case. 92h:46110 

Emmanuele, Giovanni Dominated operators on C[0, 1] and the (CRP). 92m:47072 

— Aremark on the containment of co in spaces of compact operators. 92j:47078 

— Remarks on weak compactness of operators defined on certain injective tensor products. 
92m:46109 

Filimonov, A. P. see Selyakova, N. 1.; et al., 921:47004 

Garcia Castellén, Felicisimo Compacité et position relative dans les espaces de Banach. 
(English summary) [Compactness and relative position in Banach spaces] 92d:46027 

Gonzalez, Manuel (with Martinén, Antonio) On operator ideals determined by sequences. 
92m:47085 

Holub, James R. A note on Dunford-Pettis operators. II. 92e:47049 

Ifantis, Evangelos K. Concavity and convexity of eigenvalues. 92h:47015 

Linden, Richard A. (with Salas, Héctor) Two problems on almost diagonalization of normal 
operators. 92g:47030 

Martinez, Josep (with Maz6n, José M.) Quasi-compactness of dominated positive 
operators and Co-semigroups. 92g:47048 

Martinén, Antonio see Gonzalez, Manuel, 92m:47085 

Mazon, José M. see Martinez, Josep, 92g:47048 

Noakes, J. Lyle Invariant subspaces and perturbations. 92e:47009 

Oja, Eve Criteria for M-ideals of compact operators. (Russian) 92f:47042 

— On M-ideals of compact operators and Lorentz sequence spaces. (Russian and Estonian 
summaries) 92k:47083 

— (with Werner, Dirk) Remarks on M-ideals of compact operators on X @, X. 92g:47055 

Peetre, Jaak see Cobos, Fernando, 92h:46110 

Pérez-Garcia, Cristina Semi-Fredholm and compact operators on p-adic Banach spaces. 
92a:47076 

Radjabalipour, Mehdi Simultaneous triangularization of algebras of polynomially compact 
operators. 92h:47061 

Saab, Elias (with Saab, Paulette) On unconditionally converging and weakly precompact 
operators. 924:46092 

Saab, Paulette see Saab, Elias, 92d:46092 

Salas, Héctor see Linden, Richard A., 92g:47030 

Sanchez Fernandez, Fernando see Castillo, Jestis M. F., 92k:46002 

Sarason, Donald Composition operators as integral operators. 92a:47040 

Schliichtermann, G. On weakly compact operators. 92k:47066 


OPERATOR THEORY 


1992 


Schulze, Horst On singular integral operators on weighted Hoelder spaces. 92h:47074 

Selyakova, N. I. (with Filimonov, A. P.; Tsekanovskii, E.R.) Invariant subspaces of 
compact operators in Banach spaces over the quaternion field. (Russian) 92i:47004 

Stephani, Irmtraud see Carl, Bernd, 92e:47002 

Takagi, Hiroyuki Compact weighted composition operators on certain subspaces of 
C(X,E). 92i1:47036 

— Compact weighted composition operators on L?. 92m:47063 

Tsekanovskii, E.R. see Selyakova, N. 1.; et al., 92i:47004 

Venturini, Sergio Semigroups and holomorphic maps. 92k:32045 

Werner, Dirk De nouveaux M-idéaux des espaces d’opérateurs compacts. [New M-ideals of 
compact operator spaces] 92e:46042 

— see also Oja, Eve, 92g:47055 


47B10 Operators belonging to operator ideals (nuclear, p- 
summing, in the Schatten-von Neumann classes, etc.) 
[see also 47D50] 


Brislawn, Chris Traceable integral kernels on countably generated measure spaces. 
92k:47042 

Castillo, Jestis M. F. Absolutely (co, p) summing and weakly-p-compact operators in 
Banach spaces. 

— (with Sanchez Fernandez, Fernando) Absolutely (oo, p) summing and weakly-p-compact 
operators in C(K). 

Cobos, Fernando (with Kiihn, Thomas; Peetre, Jaak) Schatten-von Neumann classes of 
multilinear forms. 92m:47046 

Elezovi¢é, Neven p-summing operators defined on tensor products of Banach spaces. (Serbo- 
Croatian summary) 92a:47029 

Kiihn, Thomas see Cobos, Fernando; et al., 92m:47046 

Montgomery-Smith, S. J. The p'/? in Pisier’s factorization theorem. 92i:47021 

Peetre, Jaak see Cobos, Fernando; et al., 92m:47046 

Pifieiro, Candido Tensor products of almost r-summing maps. 92g:47029 

Samarskii, V.G. Absolutely summing operators in spaces of cotype 2. (Russian) 92¢:47027 

Sanchez Fernandez, Fernando see Castillo, Jestis M. F. 

Tita, Nicolae Entropy ideals and s-number ideals. (Romanian. English summary) 92j:47041 


Items with secondary classifications in 47B10 


Arazy, Jonathan (with Friedman, Yaakov) Contractive projections in C,. 92f:47033 

Carl, Bernd (with Stephani, Irmtraud) * Entropy, compactness and the approximation of 
operators. 92¢:47002 

— (with Defant, Andreas) Tensor products and Grothendieck type inequalities of operators 
in Lp-spaces. 92g:47035 

Castillo, Jestis M. F. Sequences, operators and tensors. 92a:46002 

Cobos, Fernando (with Fernandez-Cabrera, Luz M.) On the tensor stability of some 
operator ideals. (Russian summary) 92f:47048 

— (with Janson, Svante; Kiihn, Thomas) On the optimal asymptotic eigenvalue behaviour 
of weakly singular integral operators. 92c:45001 

Danet, Nicolae On absolutely (p)-summing operators. 92b:47054 

David, Guy René (with Voiculescu, Dan) s-numbers of singular integrals for the invariance 
of absolutely continuous spectra in fractional dimensions. 92f:47014 

Deeb, W. (with Khalil, Roshdi) Best approximation in function and operator spaces. 
92a:47020 

Defant, Andreas (with Mascioni, Vania) Limit orders of ¢z-continuous operators. 
92d:47031 

— see also Carl, Bernd, 92g:47035 

Dowling, Patrick N. Some applications of convolution of operators on Banach spaces. 
92k:46024 

Duggal, B. P. A remark on normal derivations of Hilbert-Schmidt type. 92m:47067 

Fernandez-Cabrera, Luz M. see Cobos, Fernando, 92f:47048 

Friedman, Yaakov see Arazy, Jonathan, 92f:47033 

Geiss, Stefan Grothendieck numbers of linear and continuous operators on Banach spaces. 
92h:47025 

Gil’, M. 1. (with Shargorodskaya, L. L.) An estimate for the norm of the resolvent of a 
quasi-Hermitian operator. (Russian) 92m:47008 

Janson, Svante see Cobos, Fernando; et al., 92c:45001 

Junek, Heinz Injective and radial ideals of bilinear operators. (German and Russian 
summaries) 92¢:47078 

Kamimura, Yutaka An expansion formula for spectral functions. 92d:47036 

Khalil, Roshdi (with Saleh, Mohamed Hussein) Extreme points and isometries of g-nuclear 
operators in Banach spaces. 92k:47087 

— see also Deeb, W., 92a:47020 

Konig, Hermann On the complex Grothendieck constant in the n-dimensional case. 
92g:46011 

Kiihn, Thomas see Cobos, Fernando; et al., 92c:45001 

Linden, Hansjérg (with Menzel, Josef) On the trace of certain rational operator functions. 
92m:47025 

Maher, P. J. Commutator approximants. 92j:47059 

Makarov, B. M. Characterization of universally regular operators and operators with regular 
commutators. (Russian) 92¢:47039 

Mascioni, Vania see Defant, Andreas, 92d:47031 

Menzel, Josef see Linden, Hansjérg, 92m:47025 

Merdas, Bogusiaw Remarks on Schatten-von Neumann classes Cp. 92f:47041 

Mikaelyan, L. V. The continual analogue of the Fisher-Hartwig conjecture on Téplitz 
determinants. 92k:47051 

Montgomery-Smith, S. J. (with Talagrand, Michel) The Rademacher cotype of operators 
from /N. 924:46044 

Naboko, S. Ya. Estimates in operator classes for the difference of functions from the Pick 
class of accretive operators. (Russian) 92k:47070 

Nikolova, Lyudmila I. On the complex method of interpolation for family of Banach 
lattices, some classes of operators. 92m:46042 





775 1992 


Parfenov, O.G. On the properties of embedding operators of some classes of analytic 
functions. (Russian) 92k:46032 

— Estimates for singular numbers of Hankel operators. (Russian) 92m:47053 

Peetre, Jaak (with Zhang, Gen Kai) Projective structures on an annulus and Hankel forms. 
92i:47027 

Peng, Li Zhong (with Zhang, Gen Kai) Middle Hankel operators on Bergman space. 
92k:47052 

Pietsch, Albrecht Approximation numbers of nuclear operators and geometry of Banach 
spaces. 92i:47020 

— Eigenvalue distributions and geometry of Banach spaces. 924:47033 

Pisier, Gilles A remark on I2(/,,/). 92j:47079 

Porras, B. p-lattice summing operators in spaces of continuous functions. (Spanish) (see 
92g:00024) 

Rochberg, Richard Eigenvalue estimates for Calder6n-Toeplitz operators. 92m:47054 

Saab, Paulette (with Smith, Brenda) Nuclear operators on spaces of continuous vector- 
valued functions. 92e:47053 

Saleh, Mohamed Hussein see Khalil, Roshdi, 92k:47087 

Saté, Hiroshi! Nuclearity of a nonnegative definite integral kernel on a separable metric 
space. 92k:47095 

Schiitt, I. Unconditional bases in Banach spaces of absolutely p-summing operators. 
924:46031 

Shargorodskaya, L. L. see Gil’, M. I., 92m:47008 

Smith, Brenda see Saab, Paulette, 92¢:47053 

Sobolev, Aleksandr Vladimirovich (with Yafaev, D.R.) Spectral properties of an abstract 
scattering matrix. (Russian) 92k:47020 

Stephani, Irmtraud see Carl, Bernd, 92e:47002 

Szarek, Stanislaw J. Computing summing norms and type constants on few vectors. 
92h:46023 

Talagrand, Michel see Montgomery-Smith, S. J., 92d:46044 

Voiculescu, Dan see David, Guy René, 92f:47014 

Yafaev, D. R. see Sobolev, Aleksandr Vladimirovich, 92k:47020 

Zhang, Gen Kai Hankel operators on Hardy spaces and Schatten classes. 92m:47058 

— see also Peetre, Jaak, 92i:47027 and Peng, Li Zhong, 92k:47052 

Zhu, Ke He * Operator theory in function spaces. 92¢:47031 

— Hankel operators on the Bergman space of bounded symmetric domains. 92f:47023 


47B15 Hermitian and normal operators (spectral measures, 
functional calculus, etc.) 


Berg, I. David (with Davidson, Kenneth R.) Almost commuting matrices and a quantitative 
version of the Brown-Douglas-Fillmore theorem. 92f:47015 

Bhatia, Rajendra (with Horn, Roger A.; Kittaneh, Fuad) Normal approximants of binormal 
operators. 92b:47028 

Davidson, Kenneth R. see Berg, I. David, 92f:47015 

Derkach, V. A. (with Malamud, M. M.) The resolvent matrix of a Hermitian operator and 
the moment problem with gaps. (Russian) 92e:47029 

Filippenko, V. I. Countable sets of commuting normal operators. (Russian) 92k:47043 

Horn, Roger A. see Bhatia, Rajendra; et al., 92b:47028 

Jo, Young Soo see Jung, Il Bong, 92i:47022 

Jung, Il Bong (with Jo, Young Soo) Universal dilations of a completely nonunitary normal 
operator. 92i:47022 

Kittaneh, Fuad see Bhatia, Rajendra; et al., 92b:47028 

Linden, Richard A. (with Salas, Héctor) Two problems on almost diagonalization of normal 
operators. 92g:47030 

Malamud, M. M. Boundary value problems for Hermitian operators with gaps. (Russian) 
92e:47028 

— see also Derkach, V. A., 92e:47029 

O'Donovan, D. P. Haar-like functions almost diagonalise any normal operator. 92e:47030 

Ong, Sing-Cheong When is the range of a normal operator invariant? 92c:47023 

Paez, J. (with Sebestyén, Zoltan; Stochel, Jan) Restrictions of compact normal operators. 
925:47042 

Salas, Héctor see Linden, Richard A., 92g:47030 

Sebestyén, Zoltdn see Paez, J.; et al., 92j:47042 

Shul'man, V.S. Multiplication operators and spectral synthesis. (Russian) 92f:47016 

Stochel, Jan see Paez, J.; et al., 92j:47042 

Whitley, Robert Fuglede’s commutativity theorem and () R(T — A). 92f:47017 


Items with secondary classifications in 47B15 

Adamyan, V.M. Asymptotic properties for positive and Toeplitz matrices ard operators. 
92b:47031 

Anderson, William N., Jr. (with Trapp, George E.) The geometric mean of positive real 
operators (preliminary report). (see 92f:93005) 

Bhatia, Rajendra (with Davis, Chandler; Kittaneh, Fuad) Some inequalities for commuta- 
tors and an application to spectral variation. 92j:47023 

Carro, M. J. (with Cerda, Joan) Fractional powers of linear operators and complex 
interpolation. 92i:46088 

Cerda, Joan see Carro, M. J., 92i:46088 

Davis, Chandler see Bhatia, Rajendra; et al., 92j:47023 

Deeb, W. (with Khalil, Roshdi) Best approximation in function and operator spaces. 
92a:47020 

Drissi, Driss Sur l’inégalité d’Allan Sinclair pour les opérateurs hermitiens. (English 
summary) [On Allan Sinclair’s inequality for Hermitian operators] 92d:46124 

Duggal, B. P. A remark on normal derivations of Hilbert-Schmidt type. 92m:47067 

Dutta, Tarini Kumar (with Kalita, Ramesh Chandra) Hermitian operators and approximate 
identities on C”. 92f:15012 

Dye, John M. (with Reich, Simeon) On the unrestricted iteration of projections in Hilbert 
space. 92j:47035 

Fujii, Masatoshi (with Kamei, Eizaburo) Furuta’s inequality and a generalization of Ando’s 
theorem. 92i:47018 


47B Special classes of linear operators 


47B25 


Green, W. L. (with Morley, T. D.) Operator means, norm convergence and matrix 
functions. 92k:47036 

Johnston, William W. A condition for absence of singular spectrum with an application to 
perturbations of selfadjoint Toeplitz operators. 92g:47014 

Kalita, Ramesh Chandra see Dutta, Tarini Kumar, 92f:15012 

Kamei, Eizaburo see Fujii, Masatoshi, 92i:47018 

Khalil, Roshdi see Deeb, W., 92a:47020 

Kittaneh, Fuad On the normality of operator products. 92e:47032 

— see also Bhatia, Rajendra; et al., 92j:47023 

Li, Shao Kuan Definitions of operator spectra. (Chinese) 92m:47009 

Maher, P. J. Commutator approximants. 92j:47059 

Marcus, Marvin (with Sandy, Markus) Hadamard square roots. 92a:15027 

McEachin, R. A sharp estimate in an operator inequality. 92h:47009 

Morley, T. D. see Green, W. L., 92k:47036 

Priestley, W. M. Complex sequences whose “moments” all vanish. 92m:40003 

Reich, Simeon see Dye, John M., 92j:47035 

Sandy, Markus see Marcus, Marvin, 92a:15027 

Schweinsberg, Allen Similarity orbits and the range of the generalized derivation X — 
MX — XN. 92¢:47025 

Shmul’yan, Yu. L. On inequalities between Hermitian operators. (Russian) 92¢:47017 

Tong, Yu Sun Kernels of generalized derivations. 92f:47032 

Trapp, George E. see Anderson, William N., Jr., (92f:93005) 

Vreugdenhil, R. Spectral theory of selfadjoint Wiener-Hopf operators with rational symbols. 
924:47039 


47B20 Subnormal operators, hyponormal operators, etc. 


Arora, S.C. (with Thukral, J. K.) Factorization of k-quasihyponormal operators. 
92e:47031 

Chen, Yan? Spectra of quasinorma! operators and their continuity. (Chinese. English 
summary) 92b:47029 

Ché, Muneo Hyponormal operators on uniformly convex spaces. 92j:47043 

— Hyponormal operators on uniformly smooth spaces. 92a:47030 

— Weyl’s theorem for hyponormal operators on Banach spaces. 92¢:47024 

Conway, John B. * The theory of subnormal operators. 92h:47026 

Hu, Shan Wen The principal function and index of n-tuples of hyponormal operators. 
92a:47031 

Joshi, A.D. Hyponormality and joint hyponormality. 92d:47035 

Kittaneh, Fuad On the normality of operator products. 92¢:47032 

McCarthy, John E. Quasisimilarity of rationally cyclic subnormal operators. 92a:47032 

Pincus, J.D. (with Xia, Daoxing) A trace formula for subnormal operator tuples. 
92b:47030 

Shi, Ping On a problem of N. Salinas. 92a:47033 

Song, Guo Zhu The spectrum and normality for operators of class @. (Chinese summary) 
92¢:47025 

Stochel, Jan Characterizations of subnormal operators. 92m:47047 

— (with Szafraniec, Franciszek Hugon) A few assorted questions about unbounded 
subnormal operators. 92h:47027 

Szafraniec, Franciszek Hugon A RKHS of entire functions and its multiplication operator. 
An explicit example. 92a:47034 

— see also Stochel, Jan, 92h:47027 

Thukral, J. K. see Arora, S. C., 92e:47031 

Wang, Xiao Ming On operator-valued roots of commutative analytic functions. (Chinese) 
92¢:47033 

Xia, Daoxing see Pincus, J. D., 92b:47030 


Items with secondary classifications in 47B20 

Anand, Sarita see Arora, S. C.; et al., 92j:47015 

Arora, S.C. (with Anand, Sarita; Marwah, Sunita) Operators satisfying growth condition. 
92j:47015 

Athavale, Ameer Some operator-theoretic calculus for positive definite kernels. 92j:47050 

Campbell, James T. (with Jamison, James E.) The analysis of composition operators on L” 
and the Hopf decomposition. 92h:47036 

Curto, Rail E. Problems in multivariable operator theory. 92f:47001 

Jamison, James E. see Campbell, James T., 92h:47036 

Joshi, A. D. see Thatte, A. D., 92b:47040 

Lambert, Alan Seminormality for measure-theoretic composition operators. (see 
91g:47002) 

Li, Shao Kuan Definitions of operator spectra. (Chinese) 92m:47009 

Ma, Ji Pu A new proof of the lemma by C. Cowen & J. Long. (Chinese summary) 
92d:47041 

Marwah, Sunita see Arora, S. C.; et al., 92j:47015 

Mohapatra, Ram Narayan see Verma, Ram U., 924:47007 

Sharma, Sharda On groups of subnormal operators. 92k:47077 

Stochel, Jerzy Bartlomiej Note on minimal spectral sets of tensor products of operators. 
(Polish summary) 92j:47022 

Thatte, A. D. (with Joshi, A.D.) A note on weighted 2-shifts. 92b:47040 

Verma, Ram U. (with Mohapatra, Ram Narayan) The Harte spectrum of doubly commut- 
ing systems of semi-normal operators. 92d:47007 

Xia, Daoxing Trace formulas for almost commuting operators, cyclic cohomology and 
subnormal operators. 92a:47046 

Zerboska, Nina Hyponormal composition operators on weighted Hardy spaces. 92m:47064 


47B25 Symmetric and selfadjoint operators (unbounded) 


Allakhverdiev, B. P. Selfadjoint and nonselfadjoint extensions of a symmetric operator 
generated by an infinite Jacobi matrix. (Russian) 92m:47048 

Barinova, I. V. On the theory of extremal extensions of symmetric operators with gaps. 
(Russian) 92i:47023 





47B25 


Bibikova, R. I. On the arrangement of the spectrum of linear operators. (Russian. Tajiki 
summary) 92¢:47034 

Ismagilov, R.S. On the spectrum of a selfadjoint operator in L2(K), where K is a local field; 
an analogue of the Feynman-Kac formula. (Russian. English summary) 92m:47049 

Kamimura, Yutaka An expansion formula for spectral functions. 92d:47036 

Kruglikova, O. P. On boundary value-type eigenvalue problem. (Russian) 92h:47028 

— Spectral functions of the restriction of the differentiation operator. (Russian) 92j:47044 

Kuzhel’, A. V. (with Rotkevich, E. S.) Normal norm-preserving extensions of Hermitian 
contractions. (Russian) 92k:47044 

Kuzhel’,S. A. Spaces of boundary values and regular extensions of Hermitian operators. 
(Russian. Ukrainian summary) 92g:47031 

Mil’o, O. Ya. (with Storozh, O. G.) On the general form of a maximally accretive extension 
of a positive-definite operator. (Russian. English summary) 92k:47045 

Mlak, Wiodzimierz Commutation relations involving spectrally scattered operators. 
92h:47029 

Orochko, Yu. B. A problem in function theory and the essential selfadjointness of powers of 
operators. (Russian. Ukrainian summary) 92¢:47026 

Ostrovskii, V.L. (with Samoilenko, Yu. S.) Unbounded operators satisfying non-Lie 
commutation relations. 92g:47032 

— (with Samoilenko, Yu. S.) Structure theorems for a pair of unbounded selfadjoint 
operators satisfying quadratic relation. (Russian summary) 92m:47050 

Peller, V. V. Hankel operators in the perturbation theory of unbounded selfadjoint 
operators. 924:47037 

Rotkevich, E.S. see Kuzhel’, A. V., 92k:47044 

Samoilenko, Yu. S. see Ostrovskii, V. L., 92g:47032 and 92m:47050 

Sebestyén, Zoltan (with Stochel, Jan) Restrictions of positive selfadjoint operators. 
92i:47024 

Sergeev, A. S. (with Tsekanovskii, E.R.) Real Hermitian operators with a nondense 
domain and their real selfadjoint extensions. (Russian) 92h:47030 

Stochel, Jan see Sebestyén, Zoltan, 92i:47024 

Storozh, O. G. see Milo, O. Ya., 92k:47045 

Tsekanovskii, E.R. see Sergeev, A. S., 92h:47030 

Vaisleb, E. E. Representations of relations that connect a set of commuting selfadjoint 
operators with a nonselfadjoint operator. (Russian. Ukrainian summary) 92¢:47035 

Vasilescu, F.-H. Joint spectral properties for pairs of permutable selfadjoint transforma- 
tions. 92c:47027 

Yakovlev, S. 1. Perturbations of a singular spectrum in a selfadjoint Friedrichs model. 
(Russian) 92¢:47036 


Items with secondary classifications in 47B25 

Adamyan, V. M. (with Neidhardt, Hagen) On the summability of the spectral shift function 
for pair of contractions and dissipative operators. 924:47016 

Allakhverdiev, B. P. (with Bairamov, E. M.) On the spectral theory of a system of first- 
order nonselfadjoint difference operators. (Russian. English and Azerbaijani summaries) 
92b:47047 

Almamedov, M.S. The spectral measure of a class of selfadjoint multiparameter operators. 
(Russian) 92a:47024 

Bairamov, E. M. see Allakhverdiev, B. P., 92b:47047 

Birman, M. Sh. Discrete spectrum in the gaps of a continuous one for perturbations with 
large coupling constant. (see 92g:35153) 

Boutet de Monvel-Berthier, Anne-Marie (with Georgescu, Vladimir) Locally conjugate 
operators, boundary values of the resolvent and wave operators. (French summary) 
92¢:47013 

Derkach, V. A. Extensions of a Hermitian operator that is not densely defined in a Krein 
space. (Russian. English summary) 92h:47044 

Dijksma, A. (with de Snoo, H. S. V.; El Sabbagh, A. A.) Selfadjoint extensions of regular 
canonical systems with Stieltjes boundary conditions. 92h:47065 

Dossou-Ghete, Simplice (with Pousse, Alain) Asymptotic study of eigenelements of a 
sequence of random selfadjoint operators. 92h:62079 

El Sabbagh, A. A. see Dijksma, A.; et al., 92h:47065 

Friedrich, Jiirgen Nevanlinna parametrization of extensions of positive definite operator- 
valued functions. 924:47023 

— Operator moment problems. 92f:47012 

Gekhtman, M. I. (with Kalyuzhnyi, A. A.) Spectral theory of orthogonal polynomials of 
several variables. (Russian. Ukrainian summary) 92j:47034 

Georgescu, Vladimir see Boutet de Monvel-Berthier, Anne-Marie, 92c:47013 

Johnson, Gerald W. * Existence theorems for the analytic operator-valued Feynman 
integral. 92g:46052 

Jorgensen, Palle E.T. Unbounded operators associated to unitary representations of 
nilpotent Lie groups. 92d:22007 

Kalyuzhnyi, A. A. see Gekhtman, M. I., 92j:47034 

Kato, Tosio Positive commutators i[ f(P), g(Q)]. 92h:47042 

Kochubei, A. N. Selfadjoint extensions of Schroedinger operators with singular potentials. 
92e:47081 

Koshmanenko, V. D. One-dimensional singular perturbations of selfadjoint operators. 
(Russian) 92i:47013 

Labrousse, Jean-Philippe (with Mercier, Brigitte) Extension du théoréme de Brown- 
Douglas-Fillmore au cas des opérateurs non bornés. [Extension of the Brown-Douglas- 
Fillmore theorem to the case of unbounded operators] 92j:47040 

Livinskii, V.A. The differential operators of a string. (Russian) 92¢:47083 

Mercier, Brigitte see Labrousse, Jean-Philippe, 92j:47040 

Mironov, B.G. On the theory of extensions of J-symmetric operators. (Russian) 92h:47046 

Neidhardt, Hagen see Adamyan, V. M., 924:47016 

Nizhnik, L. P. (with Taraborkin, L. A.) Selfadjoint operators generated by nonhomoge- 
neous elliptic problems with discontinuous boundary conditions and conjugation condi- 
tions. (Russian. Ukrainian summary) 92e:47085 

Orochko, Yu. B. Spectral representation of a hyperbolic evolution process that is connected 
with the Sturm-Liouville differential expression. (Russian) 924:47058 

Pavlov, B.S. (with Popov, I. Yu.) An acoustic model of zero-width slits and the hydrody- 
namic stability of a boundary layer. (Russian. English summary) 92e:76057 


OPERATOR THEORY 


1992 776 


Popov, I. Yu. Integral equations in a model of apertures of zero width. (Russian) 92h:47068 

— see also Pavlov, B. S., 92e:76057 

Porter, David (with Stirling, David S. G.) * Integral equations. 924:45001 

Pousse, Alain see Dossou-Gbete, Simplice, 92h:62079 

Prado, Humberto E. A geometric construction of local representations of local Lie groups. 
92j:22014 

Sharma, Sharda On groups of subnormal operators. 92k:47077 

Simon, Barry Fifty years of eigenvalue perturbation theory. 92b:47018 

Sin‘ko, G. I. On the spectral theory of a second-order integro-differential operator. (Russian) 
92h:47076 

de Snoo, H.S. V. see Dijksma, A.; et al., 92h:47065 

Stirling, David S.G. see Porter, David, 92d:45001 

Storozh, O. G. Solvability of extensions of a closed operator. (Russian) 92d:47011 

Taraborkin, L. A. see Nizhnik, L. P., 92e:47085 

Watanabe, Kazuo Smooth perturbations of the selfadjoint operator |A|*/?. 92j:47094 

Werner, Reinhard F. Dilations of symmetric operators shifted by a unitary group. 
92e:47068 

Wong, M. W. Minimal and maximal operator theory with applications. 92f:47003 


47B35 Toeplitz operators, Hankel operators, Wiener-Hopf 
operators [see also 45P05, 47G10 for other integral 
operators; see also 32H10, 32M15] 


Adamyan, V.M. Asymptotic properties for positive and Toeplitz matrices and operators. 
92b:47031 

Allakhverdiev, B. P. see Maksudov, F. G.; et al., 92a:47036 

Axler, Sheldon (with Cutékovié, Zeljko) Commuting Toeplitz operators with harmonic 
symbols. 92f:47018 

Bairamov, E. M. see Maksudov, F. G.; et al., 92a:47036 

Béttcher, Albrecht Truncated Toeplitz operators on the polydisk. 92a:47035 

— (with Wolf, Hartmut) Finite sections of Segal-Bargmann space Toeplitz operators with 
polyradially continuous symbols. 92i:47025 

— (with Spitkovskii, I. M.) Toeplitz operators with PQC symbols on weighted Hardy spaces. 
92k:47046 

Buyukliev, Nikolay P. On the C*-algebras of multivariable Wiener-Hopf operators. 
92c:47028 

Coburn, L. A. Toeplitz operators, quantum mechanics, and mean oscillation in the Bergman 
metric. 92j:47045 

Cotlar, Mischa (with Sadosky, Cora) Toeplitz and Hankel forms related to unitary 
representations of the symplectic plane. 92c:47029 

Cutkovié, Zeljko see Axler, Sheldon, 92f:47018 

Curto, Rail E. (with Muhly, Paul S.; Xia, Jingbo) Random Toeplitz operators. 92b:47033 

— (with Muhly, Paul S.; Xia, Jingbo) Toeplitz operators on flows. 92b:47032 

Dang Suang Tkhan’ see Lebedev, A. V., 92k:47048 

Dominguez, Marisela Invertibility of systems of Toeplitz operators. 92e:47037 

Faour, Nazih S. A theorem of Nehari type. 92¢:47038 

Feintuch, Avraham On Hankel operators associated with a class of non-Toeplitz operators. 
92b:47034 

Ghatage, Pratibha G. Integral representations of some Hankel operators on the Hardy and 
Bergman spaces. 92¢:47030 

Grudskii, S. M. Convolution equations on a finite interval with a small parameter 
multiplying the growing part of the symbol. (Russian) 92¢:47039 

Hahn, Kyong T. (with Youssfi, El Hassan) Mébius invariant Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C". 92m:47051 

Huang, Yong Spectral inclusion theorem for Toeplitz products. 92¢e:47040 

Janas, Jan (with Rudol, K.) Toeplitz operators on the Segal-Bargmann space of infinitely 
many variables. 92¢:47041 

— Unbounded Toeplitz operators in the Bargmann-Segal space. 92j:47046 

Kozhukhar’, P. A. The absence of eigenvalues in a perturbed discrete Wiener-Hopf operator. 
(Russian) 92k:47047 

Kuijper, A. B. A note on first kind convolution equations on a finite interval. 92g:47033 

Lebedev, A. V. (with Dang Suang Tkhan’) A C*-algebra generated by Toeplitz operators and 
a group of shifts. (Russian. English summary) 92k:47048 

Le Merdy, Christian Le théoréme AAK dans les espaces de type 2. (English summary) [The 
AAK theorem in spaces of type 2] 92m:47052 

Li, Shao Kuan On generalized Toeplitz operators. 92k:47049 

Ligocka, Ewa On the regularity of coanalytic Toeplitz operators. 92j:47047 

Lin, Qing (with Salinas, Norberto) Proper holomorphic maps and analytic Toeplitz n- 
tuples. 92¢:47042 

Lotto, B. A. Range inclusion of Toeplitz and Hankel operators. 92b:47035 

La, Ke Ping Hankel operators on Bergman spaces of several complex variables. (Chinese) 
92k:47050 

Maksudov, F. G. (with Allakhverdiev, B. P.; Bairamov, E.M.) On the spectral theory of a 
nonselfadjoint operator generated by an infinite Jacobi matrix. (Russian) 92a:47036 

Megretskii, A. V. A quasinilpotent Hankel operator. (Russian) 92a:47037 

Mikaelyan, L. V. The continual analogue of the Fisher-Hartwig conjecture on Téplitz 
determinants. 92k:47051 

Mubhly, Paul S. see Curto, Raul E.; et al., 92b:47032 and 92b:47033 

Nakazi, Takahiko Norms of Hankel operators on a bidisc. 92i:47026a 

— Bounded Hankel forms with weighted norms and lifting theorems. 92h:47031 

— Errata to: “Norms of Hankel operators on a bidisc”. 92i:47026b 

Nica, Alexandru Wiener-Hopf operators on the positive semigroup of a Heisenberg group. 
92d:47038 

Parfenov, O. G. Estimates for singular numbers of Hankel operators. (Russian) 92m:47053 

Pasenchuk, A. E. Invertibility of abstract paired operators in Hilbert spaces. (Russian) 
92b:47036 

Peetre, Jaak (with Zhang, Gen Kai) Projective structures on an annulus and Hankel forms. 
92i:47027 





777 1992 


Peng, Li Zhong (with Zhang, Gen Kai) Middle Hankel operators on Bergman space. 
92k:47052 

Roch, Steffen Local algebras of Toeplitz operators on /?’, 92f:47019 

Rochberg, Richard Eigenvalue estimates for Calderén-Toeplitz operators. 92m:47054 

Ross, William T. Analytic continuation in Bergman spaces and the compression of certain 
Toeplitz operators. 92m:47055 

Rudakov, I. A. A convolution equation in Gevrey spaces. (Russian) 92k:47053 

Rudol, K. see Janas, Jan, 92e:47041 

Sadosky, Cora see Cotlar, Mischa, 92c:47029 

Salinas, Norberto see Lin, Qing, 92e:47042 

Shargorodskii, E.M. Singular integral operators with coefficients in P,C. (Russian. English 
summary) 92e:47043 

Sheu, Albert Jeu-Liang Isomorphism of the Toeplitz C*-algebras for the Hardy and 
Bergman spaces on certain Reinhardt domains. 92k:47054 

Smith, Robert Colman Toeplitz operators and algebras of bounded analytic functions on the 
disk. 92f:47020 

Spitkovskii, I. M. see Béttcher, Albrecht, 92k:47046 

Stroethoff, Karel (with Zheng, De Chao) Toeplitz and Hankel operators on Bergman spaces. 
92¢:47044 

Tolokonnikov, V. A. Algebras of Toeplitz operators in spaces of smooth functions. (Russian) 
92h:47032 

Tyrtyshnikov, E. E. Singular values of Cauchy-Toeplitz matrices. 92m:47056 

Upmeier, Harald Toeplitz operators and index theory in several complex variables. 
92:47021 

Vreugdenhil, R. Spectral theory of selfadjoint Wiener-Hopf operators with rational symbols. 
92d:47039 

Wolf, Hartmut see Bottcher, Albrecht, 92i:47025 

Xia, Jingbo see Curto, Raul E.; et al., 92b:47032 and 92b:47033 

Yakubovich, D. V. On the spectral theory of Toeplitz operators with a smooth symbol. 
(Russian) 92m:47057 

Youssfi, El Hassan see Hahn, Kyong T., 92m:47051 

Yu, Da Hai The symbol characterization of the weighted shift Toeplitz operators. 
92g:47034 

Zhang, Gen Kai Hankel operators on Hardy spaces and Schatten classes. 92m:47058 

— see also Peetre, Jaak, 92i:47027 and Peng, Li Zhong, 92k:47052 

Zheng, De Chao see Stroethoff, Karel, 92¢:47044 

Zhu, Ke He Positive Toeplitz operators on weighted Bergman spaces of bounded symmetric 
domains. 92f:47022 

— * Operator theory in function spaces. 92¢:47031 

— Hankel operators on the Bergman space of bounded symmetric domains. 92f:47023 


Items with secondary classifications in 47B35 

Akashi, Shigeo The asymptotic behavior of e-entropy of a compact positive operator. 
92:47027 

Akeroyd, John (with Khavinson, Dmitry; Shapiro, Harold S.) Remarks concerning cyclic 
vectors in Hardy and Bergman spaces. 92h:47034 

Aktosun, Tuncay (with van der Mee, C. V. M.) Wiener-Hopf factorization in the inverse 
scattering theory for the n-D Schrédinger equation. 92f:35050 

Attele, K. R. M. Interpolating sequences for the derivatives of Bloch functions. 92m:30064 

Bad'in, L. V. (with Tarasov, R. P.) Numerical factorization of polynomials on the unit 
circle, and the approximate solution of discrete Wiener-Hopf equations. (Russian) 
92e:65032 

Basor, Estelle L. (with Tracy, Craig A.) The Fisher-Hartwig conjecture and generalizations. 
92k:32003 

Baum, Paul (with Douglas, Ronald G.) Relative K homology and C* algebras. 92m:19008 

Bonami, Aline (with Madan, Shobha) Balayage of Carleson measures and Hankel operators 
on generalized Hardy spaces. 92m:31007 

Battcher, Albrecht (with Silbermann, Bernd) * Analysis of Toeplitz operators. 92e:47001 

Bourgain, Jean (with Tzafriri, L.) Ona problem of Kadison and Singer. 92j:46104 

Boutet de Monvel, L. Toeplitz operators—an asymptotic quantization of symplectic cones. 
92h:58190 

Bruzual, Ram6n Integral representation of kernels invariant with respect to local semigroups 
of isometries and generalization of the Krein-Schwartz theorem. 92m:47041 

Chen, Guang Rong (with Wu, Garidi) Approximation of convolution type operators in 
Orlicz spaces. (Chinese. English summary) 92j:42002 

Curto, Rail E. Operator theory on Reinhardt domains. 92j:47052 

Douglas, Ronald G. (with Yan, Ke Ren) On the rigidity of Hardy submodules. 924:47009 

— (with Hurder, Steven; Kaminker, Jerome) The longitudinal cocycle and the index of 
Toeplitz operators. 92k:58266 

— see also Baum, Paul, 92m:19008 

Foias, Ciprian (with Tannenbaum, Allen) On the singular values of the four-block operator 
and certain generalized interpolation problems. 92d:47021 

Frank, L.S. Toeplitz matrices and the theory of one-parameter families of difference 
operators. 92d:47048 

Gohberg, Israel (with Kaashoek, M. A.; Woerdeman, H. J.) A note on extensions of band 
matrices with maximal and submaximal invertible blocks. 92k:15050 

Gombani, Andrea On balancing and Hankel operators. 92j:93029 

Gustafsson, Bjorn (with Peetre, Jaak) Mdébius invariant operators on Riemann-surfaces. 
92¢:30050 


Hahn, Kyong T. (with Youssfi, El Hassan) .&-harmonic Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C”. 92j:46047a 

— (with Youssfi, El Hassan) Erratum to: “.#-harmonic Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C" ”. 92j:46047b 

Heinig, Georg (with Jankowski, P.) Parallel and superfast algorithms for Hankel systems of 
equations. 92a:65092 

Hurder, Steven see Douglas, Ronald G.; et al., 92k:58266 

Jankowski, P. see Heinig, Georg, 92a:65092 

Jevti¢é, Miroljub On the Carleson measure characterization of BMOA functions on the unit 
ball. 92¢:32004 


47B Special classes of linear operators 


47B37 


Johnson, Charles Royal (with Shalom, Tamir) Information requirements for Toeplitz 
inversion. 92¢:15010 

Johnston, William W. A condition for absence of singular spectrum with an application to 
perturbations of selfadjoint Toeplitz operators. 92g:47014 

Jones, D.S. Wiener-Hopf splitting of a 2 x 2 matrix. 92g:45007 

Kaashoek, M. A. see Gohberg, Israel; et al., 92k:15050 

Kakichev, V. A. Construction of second-order convolutions. (Chinese. English summary) 

Kaminker, Jerome see Douglas, Ronald G.; et al., 92k:58266 

Karapetyants, N. K. (with Samko, S. G.) * YpabHeHHs Cc HHBOMIOTHBHLIMH OnepaTopaMH H 
4X Npanoxenua. (Russian) [Equations with involutive operators and their applications] 
92m:47020 

— (with Yakubov, A. Ya.) A convolution equation with a power nonlinearity of negative 
order. (Russian) 92m:47125 

Khavinson, Dmitry see Akeroyd, John; et al., 92h:47034 

Lobarev, I. V. Estimates for the eigenvalues of a class of block-Toeplitz matrices. (Russian) 
(see 92m:00024) 

Lachko, Yu. F. (with Yakubovich, S. B.) Generating operators and convolutions for some 
integral transformation. (Russian. English summary) 92h:44007 

Lukashenko, T. P. Properties of maximal convolution operators. (Russian) 92h:42017 

Madan, Shobha see Bonami, Aline, 92m:31007 

McCarthy, John E. Weighted Bergman spaces. (see 92i:46001) 

McIntosh, Alan G. R. (with Qian, Tao) Fourier multipliers on Lipschitz curves. 92k:42019 

Meda, Stefano (with Pini, Rita) Spherical convolution with kernels having singularities on 
an equator. (Italian summary) 92j:42017 

van der Mee, C. V.M. see Aktosun, Tuncay, 92f:35050 

Morita, Tohru An extension of Szegé’s theorem. 92b:82033 

Nakazi, Takahiko Existence of solutions of extremal problems in H'. 92b:30043 

Park, Efton (with Schochet, Claude) On the K-theory of quarter-plane Toeplitz algebras. 
92d:46174 

Peetre, Jaak see Gustafsson, Bjorn, 92c:30050 

Peller, V. V. Hankel operators in the perturbation theory of unbounded selfadjoint 
operators. 92d:47037 

Pini, Rita see Meda, Stefano, 92j:42017 

Poletaev, G.S. An abstract analogue of a dual equation of convolution type in a ring with a 
factorization pair. (Russian. Ukrainian summary) 92k:47037 

Power, S.C. Spectral characterization of the Wold-Zasuhin decomposition and prediction- 
error operator. 92j:47032 

Qian, Tao see McIntosh, Alan G. R., 92k:42019 

Reichel, Lothar (with Trefethen, Lloyd N.) Eigenvalues and pseudo-eigenvalues of Toeplitz 
matrices. 92k:15028 

Roch, Steffen (with Silbermann, Bernd) * Algebras of convolution operators and their 
image in the Calkin algebra. 92d:47067 

Saito, Kichi-Suke An introduction to Toeplitz operators associated with analytic crossed 
products. (see 92d:00034) 

— Toeplitz operators associated with analytic crossed products. II. Invariant subspaces and 
factorization. 92¢:46134 

Salinas, Norberto Applications of C*-algebras and operator theory to proper holomorphic 
mappings. 92¢e:47054 

— Noncompactness of the 8-Neumann problem and Toeplitz C*-algebras. 92j:32086 

Samko, S. G. see Karapetyants, N. K., 92m:47020 

Schochet, Claude see Park, Efton, 92d:46174 

Shalom, Tamir see Johnson, Charles Royal, 92e:15010 

Shapiro, Harold S. see Akeroyd, John; et al., 92h:47034 

Sheu, Albert Jeu-Liang How are the Toeplitz C*-algebras of Reinhardt domains affected by 
taking pseudoconvex hulls? 92g:46088 

— Reinhardt domains, boundary geometry, and Toeplitz C*-algebras. 92a:46068 

Silbermann, Bernd see Roch, Steffen, 92d:47067 and Béttcher, Albrecht, 92e:47001 

Szeptycki, Pawel Convolution operators on spaces of measurable functions. (Russian 
summary) 92¢:47041 

Tannenbaum, Allen see Foias, Ciprian, 92d:47021 

Tarasov, R. P. see Badin, L. V., 92e:65032 

Tracy, Craig A. see Basor, Estelle L., 92k:82003 

Trefethen, Lloyd N. see Reichel, Lothar, 92k:15028 

Tyrtyshnikov, E. E. * Ténauuesbi MaTpHubl, HeKOTOpbie HX aHaJOrH WH NpHIOKeHHA. 
(Russian) [Toeplitz matrices, some of their analogues and applications] 92h:65045 

Tzafriri, L. see Bourgain, Jean, 92j:46104 

Upmeier, Harald Multivariable Toeplitz operators and index theory. 92m:58131 

Vasilevskii, N. L. Nonclassical singular integral operators and algebras generated by them. 
(see 92a:00039) 

Woerdeman, H. J. see Gohberg, Israel; et al., 92k:15050 

Wa, Garidi see Chen, Guang Rong; et al., 92j:42002 

Yakubov, A. Ya. see Karapetyants, N. K., 92m:47125 

Yakubovich, S. B. see Luchko, Yu. F., 92h:44007 

Yan, Ke Ren see Douglas, Ronald G., 924:47009 

Youssfi, El] Hassan see Hahn, Kyong T., 92j:46047a and 92j:46047b 

Zhang, Gen Kai Norm inequalities in weighted Bergman spaces. 92k:32014 


47B37 Operators on special spaces (weighted shifts, operators on 
sequence spaces, etc.) 


Balci, M. On absolutely conservative matrices. 92i:47028 

Berkson, Earl (with Gillespie, T. A.) The spectral decomposition of weighted shifts and the 
Ap, condition. 92¢:47045 

Cowen, Carl C. An application of Hadamard multiplication to operators on weighted Hardy 
spaces. 92e:47046 

Detre, Peter A. Multipliers of weighted /? spaces. 92h:47033 

Forster, K.-H. (with Nagy, Béla) The spectral singularities of injective weighted shifts. 
92b:47037 

Gillespie, T. A. see Berkson, Earl, 92e:47045 





47B37 


Ivanovski, Novak (with Orovéanec, Marija) On similarity and quasisimilarity of unilateral 
operator valued weighted shifts. (Macedonian summary) 92k:47055 

Jakimovski, Amnon (with Tietz, Hubert) Eigenvalues for generalized Hausdorff matrices. 
92i:47030 

Joshi, A. D. see Thatte, A. D., 92b:47040 

Komal, B.S. Spectra of quasinormal composition operators on /?. 92a:47038 

— (with Pathania, Rajeshwar Singh) On eigenvalues of composition operators on /?. 
921:47024 

Kozhukhar’, P. A. The absence of eigenvalues for operators that are close to operators 
generated by infinite-dimensional Jacobi matrices. (Russian) 92b:47038 

Li, Fang Unicellularity of Lambert’s weighted shifts. 924:47040 

Ma, Ji Pu A new proof of the lemma by C. Cowen & J. Long. (Chinese summary) 
92d:47041 

Nagy, Béla see Forster, K.-H., 92b:47037 

Narayan, Sivaram K. Quasidiagonality of direct sums of weighted shifts. 92j:47048 

Orovéanec, Marija see Ivanovski, Novak, 92k:47055 

Pathania, Rajeshwar Singh see Komal, B. S., 92f:47024 

Pluciennik, Ryszard Boundedness of superposition operators on wo. 92m:47059 

Rhoades, B. E. The point spectra for certain classes of operators in B(/?). 92i:47029 

— The spectra of weighted mean operators on bvo. 92j:47049 

Saab, Elias (with Saab, Paulette) Applications linéaires continues sur le produit tensoriel 
injectif d’espaces de Banach. (English summary) [Operators on injective tensor products 
of Banach spaces] 92b:47039 

Saab, Paulette see Saab, Elias, 92b:47039 

Thatte, A. D. (with Joshi, A.D.) A note on weighted 2-shifts. 92b:47040 

Tietz, Hubert see Jakimovski, Amnon, 92i:47030 

Yan, Zi Kun Quasisimilarity of weighted shifts of multiplicity N and degree m. (Chinese. 
English summary) 92k:47056 


Items with secondary classifications in 47B37 

Abian, Alexander An inner product and orthonormalization in /?-spaces and solution of 
infinite systems of infinite linear equations. 92h:47014 

Agler, J. (with Franks, E.; Herrero, Domingo A.) Spectral pictures of operators quasisimi- 
lar to the unilateral shift. 92m:47007 

Allakhverdiev, B. P. Selfadjoint and nonselfadjoint extensions of a symmetric operator 
generated by an infinite Jacobi matrix. (Russian) 92m:47048 

Athavale, Ameer Some operator-theoretic calculus for positive definite kernels. 92j:47050 

Baillon, Jean-Bernard (with Clément, Philippe P.) Examples of unbounded imaginary 
powers of operators. 92j:47036 

Baronti, Marco (with Franchetti, Carlo) Minimal and polar projections onto hyperplanes in 
the spaces /, and /,,. 92¢:46040 

Bennett, Grahame Some elementary inequalities. II]. 92h:26021 

Clément, Philippe P. see Baillon, Jean-Bernard, 92j:47036 

Engli8, Miroslav A class of weighted composition operators on H?. (Czech summary) 
92a:47039 

Farid, F.O. Spectral properties of perturbed linear operators and their application to 
infinite matrices. 92b:47017 

Fong, Che Kao (with Nordgren, Eric A.; Radjavi, Heydar; Rosenthal, Peter M.) Weak 
resolvents of linear operators. II. 92a:47003 

Franchetti, Carlo see Baronti, Marco, 92e:46040 

Franks, E. see Agler, J.; et al., 92m:47007 

Godefroy, Gilles (with Shapiro, Joel H.) Operators with dense, invariant, cyclic vector 
manifolds. 924:47029 

Hemasinha, Rohan (with Weaver, James R.) What are the linear isometries of /?? 
92j:46019 

Herrero, Domingo A. see Agler, J.; et al., 92m:47007 

Tonagcu, Ileana Note on the completion of partial contractions and on the distance formula 
in Banach spaces of type /' or /°. (Romanian. English summary) 92e:47010 

Khalil, Roshdi A class of extreme contractions in L(/?). 92¢:47073 

Kozhukhar’, P. A. The absence of eigenvalues in a perturbed discrete Wiener-Hopf operator. 
(Russian) 92k:47047 

Marcoux, Laurent On the quasidiagonality of direct sums of normal operators and shifts. 
92a:47023 

Mathes, D. Benjamin Invariant diagonal operator ranges. 92c:47006 

Misra, Gadadhar (with Narasimha Sastry, N. S.) Homogeneous tuples of operators and 
representations of some classical groups. 92g:47039 

Montgomery-Smith, S. J. (with Talagrand, Michel) The Rademacher cotype of operators 
from /™. 924:46044 

Mursaleen Infinite matrices of the type M(E). 92m:40005 

Narasimha Sastry, N.S. see Misra, Gadadhar, 92g:47039 

Nordgren, Eric A. see Fong, Che Kao; et al., 92a:47003 

Nuray, Fatih see Savas, Ekrem, 92h:40003 

Oja, Eve On M-ideals of compact operators and Lorentz sequence spaces. (Russian and 
Estonian summaries) 92k:47083 

Radjavi, Heydar see Fong, Che Kao; et al., 92a:47003 

Rhoades, B. E. Corrections: “/?-norms of some generalized Hausdorff matrices” [Canad. 
Math. Bull. 32 (1989), no. 4, 500-504; MR 91c:47012]. 92g:47007 

Riddle, Lawrence H. An occurrence of the ballot numbers in operator theory. 92f:05012 

Rosenthal, Peter M. see Fong, Che Kao; et al., 92a:47003 

Savas, Ekrem (with Nuray, Fatih) Matrix transformation of /,(s) tol, I*,I', and q. 
92h:40003 

Seddighi, Karim (with Yousefi, B.) On the reflexivity of operators on function spaces. 
92k:47067 

Shapiro, Joel H. see Godefroy, Gilles, 924:47029 

Stochel, Jan (with Szafraniec, Franciszek Hugon) A few assorted questions about 
unbounded subnormal operators. 92h:47027 

Szafraniec, Franciszek Hugon see Stochel, Jan, 92h:47027 

Talagrand, Michel see Montgomery-Smith, S. J., 92d:46044 

Tyrtyshnikov, E. E. * Cunrynapubie yacna Matpu Komm-Ténanma. (Russian) [Singular 
numbers of Cauchy-Toeplitz matrices] 92g:15037 


OPERATOR THEORY 


Weaver, James R. see Hemasinha, Rohan, 92j:46019 

Yousefi, B. see Seddighi, Karim, 92k:47067 

Yu, Da Hai The symbol characterization of the weighted shift Toeplitz operators. 
92g:47034 


47B38 Operators on function spaces (including composition 
operators, kernel operators) 


Abbott, Catherine A. Weakly precompact and GSP operators on continuous function spaces. 
(Russian summary) 92b:47041 

— (with Bator, Elizabeth M.; Lewis, Paul W.) Strictly singular and strictly cosingular 
operators on spaces of continuous functions. 92¢:47047 

Akeroyd, John (with Khavinson, Dmitry; Shapiro, Harold S.) Remarks concerning cyclic 
vectors in Hardy and Bergman spaces. 92h:47034 

Aleman, Alexandru On the codimension of the range of a composition operator. 92d:47042 

— Invariant subspaces with finite codimension in Bergman spaces. 92f:47025 

Antonevich, A. B. (with Khristova, M. S.) Operators generated by generalized Hardy- 
Littlewood operators. (Russian. English summary) 924:47043 

Aslanov, V. D. (with Karlovich, Yu. I.) One-sided invertibility of functional operators in 
reflexive Orlicz spaces. (Russian. English and Azerbaijani summaries) 92i:47031 

Athavale, Ameer Some operator-theoretic calculus for positive definite kernels. 92j:47050 

Auscher, Pascal (with Tchamitchian, Philippe) Ondelettes et conjecture de Kato. (English 
summary) [Wavelets and Kato’s conjecture] 92h:47035 

Bator, Elizabeth M. see Abbott, Catherine A.; et al., 92¢:47047 

Behrends, Ehrhard C)K-valued local operators. 92¢:47032 

Berezhnoi, E. 1. Weighted inequalities of Hardy type in general ideal spaces. (Russian) 
92k:47057 

Bloom, Steven (with Kerman, Ron) Weight structure theorems and factorization of positive 
operators. 92¢:47033 

Bravo de la Parra, Rafael (with Jiménez Guerra, Pedro) Linear operators and vector 
integrals. 92c:47034 

Campbell, James T. (with Embry-Wardrop, Mary; Fleming, Richard J.; Narayan, Sivaram 
K.) Normal and quasinormal weighted composition operators. 92j:47051 

— (with Jamison, James E.) The analysis of composition operators on L? and the Hopf 
decomposition. 92h:47036 

Campbell, Randall K. Equivalent composition operators. 92h:47037 

Carl, Bernd (with Defant, Andreas) Tensor products and Grothendieck type inequalities of 
operators in Ly-spaces. 92g:47035 

Chan, Kit C. (with Shapiro, Joel H.) The cyclic behavior of translation operators on Hilbert 
spaces of entire functions. 92m:47060 

Chistyakov, Aleksandr Vladimirovich Properties of a class of noncompact operators. 
(Russian) 92:47026 

Chong, Kong Ming Spectral order preserving operators and rearrangement theorems. 
92i:47032 

Ciemnoczotowski, J. (with Matuszewska, W.; Orlicz, Wladyslaw) On some properties of 
linear operators on L*? which are continuous with respect to a modular. 92i:47033 

Curto, Raul E. Operator theory on Reinhardt domains. 92j:47052 

De Cicco, Virginia (with Marino, Giuseppe) Composition operators on summable 
functions spaces. 92¢:47048 

Defant, Andreas see Carl, Bernd, 92g:47035 

Di, Ji Zheng Integral representation of linear operators on spaces of Bochner integrable 
functions. (Chinese. English summary) 92¢:47035 

Dimovski, Ivan H. (with Vasilev, Mladen V.) New representations of commutants of 
powers of the differentiation operator. 92g:47036 

Dobrakov, Ivan Representation of multilinear operators on x Co(7;, X;). 1. 92k:47058 

Elliott, David see Okada, Susumu, 92k:47064 

Embry-Wardrop, Mary see Campbell, James T.,; et al., 92j:47051 

Englis, Miroslav A class of weighted composition operators on H2. (Czech summary) 
92a:47039 

Eremin, M.S. Transformation operators in the disk of solutions of some nonlinear integro- 
differential equations. (Russian) 92¢:47036 

Eschmeier, Jérg Multiplication operators on Bergman spaces are reflexive. 92f:47027 

Fleming, Richard J. see Campbell, James T.; et al., 92j:47051 

Florinskii, A. A. Some properties of permutation operators generated by contraction 
mappings. (Russian) (see 92d:28002) 

Gacki, Henryk (with Lasota, Andrzej) Markov operators defined by Volterra type integrals 
with advanced argument. 924:47044 

Guerre, Sylvie Some remarks on complex powers of (—A) and UMD spaces. 92f:47028 

Holub, James R. A note on Dunford-Pettis operators. II. 92¢:47049 

Hoppe, Wolfram (with Krupnik, N. Ya.) Some counterexamples to a hypothesis connected 
with the local values of the essential norm of operators of local type. 92b:47042 

Hunziker, Herbert (with Jarchow, Hans; Mascioni, Vania) Some topologies on the space of 
analytic self-maps of the unit disk. 92k:47059 

Hyb, Wojciech On the spectral properties of translation operators in one-dimensional tubes. 
92k:47060 

Jamison, James E. see Campbell, James T., 92h:47036 

Jarchow, Hans see Hunziker, Herbert; et al., 92k:47059 

Jiménez Guerra, Pedro see Bravo de la Parra, Rafael, 92c:47034 

Jorgensen, Palle E.T. (with Pedersen, Steen) An algebraic spectral problem for L7(Q), Qc 
R". (French summary) 92b:47043 

Kan, Charn-Huen Norming vectors of linear operators between L, spaces. 92h:47038 

Karapetyants, N. K. Weighted estimates for the Hardy operator. (Russian) 92b:47044 

Karlovich, Yu. I. see Aslanov, V. D., 92i:47031 

Kasperski, Andrzej Modular approximation in X, ‘ by a filtered family of sublinear operators 
and convex operators. 92k:47061a 

— Modular approximation in x} by a filtered family of “linear operators”. 92k:47061b 

Kerman, Ron see Bloom, Steven, 92¢c:47033 

Khavinson, Dmitry see Akeroyd, John; et al., 92h:47034 

Khristova, M.S. see Antonevich, A. B., 92d:47043 





7719 1992 


Knopf, Peter M. L? and Sobolev space mapping properties of the Szeg6 operator for the 
polydisc. 924:47045 

Komal, B.S. (with Singh, Prem Sagar) Composition operators on the space of entire 
functions. 92h:47039 

Komorowski, Tomasz (with Tyrcha, Joanna) Asymptotic properties of some Markov 
operators. (Russian summary) 92f:47029 

Krupnik, N. Ya. see Hoppe, Wolfram, 92b:47042 

Kurbatov, V.G. The inverse to a c-continuous operator. (Russian) 92c:47037 

Lambert, Alan Seminormality for measure-theoretic composition operators. (see 
91g:47002) 

— Localising sets for sigma-algebras and related point transformations. 92g:47037 

Lanza de Cristoforis, Massimo A note on composition operators in Sobolev spaces and an 
extension of the chain rule. (Italian summary) 92j:47053 

Lasota, Andrzej see Gacki, Henryk, 92d:47044 

Latushkin, Yu. D. (with Stépin, A.M.) Weighted shift operators, the spectral theory of 
linear extensions and a multiplicative ergodic theorem. (Russian) 92d:47046 

— (with Stépin, A.M.) Weighted shift operators and linear extensions of dynamical 
systems. (Russian) 92k:47062 

Lewis, Paul W. see Abbott, Catherine A.; et al., 92e:47047 

Likhtarnikov, L. M. (with Morozova, L. L.) A class of equations of V. I. Romanovskii type 
in a Hilbert space. (Russian) 92g:47038 

Linchuk, S.S. (with Nagnibida, N. 1.) Equivalence of Pommiez operators in the space of 
functions that are analytic in a disk. (Russian) 92e:47050 

Lindsay, J. M. Gaussian hypercontractivity revisited. 92¢:47038 

Loskot, Krzysztof (with Rudnicki, Ryszard) Sweeping of some integral operators. (Russian 
summary) 92f:47030 

Makarov, B. M. Characterization of universally regular operators and operators with regular 
commutators. (Russian) 92c:47039 

Manhas, Jasbir Singh see Singh, Raj Kishor, 92f:47031 

Marino, Giuseppe see De Cicco, Virginia, 92¢:47048 

Mascioni, Vania see Hunziker, Herbert; et al., 92k:47059 

Matache, Valentin Composition operators on H? of the upper half-plane. 92k:47063 

Matuszewska, W. see Ciemnoczolowski, J.; et al., 92i:47033 

Misra, Gadadhar (with Narasimha Sastry, N. S.) Homogeneous tuples of operators and 
representations of some classical groups. 92g:47039 

Morozova, L. L. see Likhtarnikov, L. M., 92g:47038 

Na, Qi Yuan On conditional expectation operators on L(y, X) (1 <p < +00, p #2). 
92b:47045 

Nagnibida, N. I. On the equivalence of composite operators to a double differentiation 
operator. (Russian) 92i:47034 

— see also Linchuk, S. S., 92e:47050 

Napalkov, V. V. (with Rudakov, I. A.) A convolution operator in the space of real analytic 
functions. (Russian) 92j:47054 

Narasimha Sastry, N.S. see Misra, Gadadhar, 92g:47039 

Narayan, Sivaram K. see Campbell, James T.; et al., 92j:47051 

Novitskii, I. M. Reduction of linear operators in L2 to integral form with smooth kernels. 
(Russian) 92m:47061 

Okada, Susumu (with Elliott, David) The finite Hilbert transform in 77. 92k:47064 

Orlicz, Wiadysiaw see Ciemnoczotowski, J.; et al., 92i:47033 

Pedersen, Steen see Jorgensen, Palle E. T., 92b:47043 

Pichugov, S. A. Estimates for the norms of operators that are continuous with respect to 
measure. (Russian) 92k:47065 

Podporin, V. P. The general form of linear operators that commute with several operators of 
multiplication by a function. (Russian) (see 92f:00019) 

Porras, B. p-lattice summing operators in spaces of continuous functions. (Spanish) (see 
92g:00024) 

— A note on the representing measures of operators defined on spaces of vector-valued 
continuous functions. 92g:47040 

Prasad, Sukhdeo Nr. see Verma, Lakhan Pd., 92h:47041 

Przeworska-Rolewicz, Danuta Commutators with right invertible operators. 92j:47055 

Ptak, Marek Reflexivity of multiplication operators in certain domains in C”. (Russian 
summary) 92e:47051 

Richter, Stefan (with Sundberg, Carl) A formula for the local Dirichlet integral. 92i:47035 

— A representation theorem for cyclic analytic two-isometries. 92¢e:47052 

Rosenthal, Haskell Paul (with Szarek, Stanislaw J.) On tensor products of operators from 
DL? to L¢. 92m:47062 

Rudakov, I. A. see Napalkov, V. V., 92j:47054 

Rudnicki, Ryszard see Loskot, Krzysztof, 92f:47030 

Saab, Paulette (with Smith, Brenda) Nuclear operators on spaces of continuous vector- 
valued functions. 92e:47053 

Salinas, Norberto Applications of C*-algebras and operator theory to proper holomorphic 
mappings. 92¢:47054 

Sarason, Donald Composition operators as integral operators. 92a:47040 

Saxe, Karen Interpolation and spectra of regular L’-space operators. 92¢:47055 

Schliichtermann, G. On weakly compact operators. 92k:47066 

Seddighi, Karim (with Yousefi, B.) On the reflexivity of operators on function spaces. 
92k:47067 

Seubert, Steven M. Dissipative finite convolution operators. 92c:47040 

Shapiro, Harold S. see Akeroyd, John; et al., 92h:47034 

Shapiro, Joel H. (with Sundberg, Carl) Isolation amongst the composition operators. 
92g:47041 

— see also Chan, Kit C., 92m:47060 

Sharma, Som Datt Idempotent composition operators and several complex variables. 
924:47047 

Shishkin, A. B. Spectral synthesis for an operator generated by multiplication by a power of 
the independent variable. (Russian) 92h:47040 

Singh, Prem Sagar see Komal, B. S., 92h:47039 

Singh, Raj Kishor (with Manhas, Jasbir Singh) Multiplication operators on weighted spaces 
of vector-valued continuous functions. 92f:47031 

Smith, Brenda see Saab, Paulette, 92e:47053 


47B Special classes of linear operators 


47B38 


Smith, Dale T. Exponential decay of resolvents and discrete eigenfunctions of banded 
infinite matrices. 92j:47056 

Stepanov, V. D. Integral operators on the cone of monotone functions and embeddings of 
Lorentz spaces. (Russian) 92¢:47056 

Stépin, A.M. see Latushkin, Yu. D., 92d:47046 and 92k:47062 

Sundberg, Carl see Shapiro, Joel H., 92g:47041 and Richter, Stefan, 92i:47035 

Szarek, Stanislaw J. see Rosenthal, Haskell Paul, 92m:47062 

Szeptycki, Pawel Convolution operators on spaces of measurable functions. (Russian 
summary) 92¢:47041 

Takagi, Hiroyuki Compact weighted composition operators on certain subspaces of 
C(X,E). 92%:47036 

— Compact weighted composition operators on L?. 92m:47063 

Taskinen, Jari Factorization of multilinear differential operators with constant coefficients. 
92k:47068 

Tchamitchian, Philippe see Auscher, Pascal, 92h:47035 

Tervo, Jouko On the spectra of singularities of Fourier series equations. 92c:47042 

— On realizations of Fourier series operators. 92¢:47043 

Tibilov, K. T. Pseudo-integral operators in spaces of measurable vector-functions. (Russian) 
92b:47046 

Tyrcha, Joanna see Komorowski, Tomasz, 92f:47029 

Vasilev, Mladen V. see Dimovski, Ivan H., 92g:47036 

Verma, Lakhan Pd. (with Prasad, Sukhdeo Nr.) Continuity of transformations in function 
spaces. 92h:47041 

Xu, Xian Min Compact composition operators on L’(X,.% , z). (Chinese. English summary) 
92e:47057 

Yousefi, B. see Seddighi, Karim, 92k:47067 

Zerboska, Nina Hyponormal composition operators on weighted Hardy spaces. 92m:47064 


Items with secondary classifications in 47B38 

Abbott, Catherine A. (with Bator, Elizabeth M.; Bilyeu, Russell G.; Lewis, Paul W.) Weak 
precompactness, strong boundedness, and weak complete continuity. 92b:46047 

Abramovich, Yuri A. Operators preserving disjointness on rearrangement invariant spaces. 
92£:47034 

Adams, David R. (with Frazier, Michael) Composition operators on potential spaces. 
92¢:46061 

Aguayo, José (with Sanchez H., José A.) Separable measures and the Dunford-Pettis 
property. 92f:46020 

Akcoglu, M. A. (with Baxter, J. R.; Lee, W. M. F.) Representation of positive operators and 
alternating sequences. 92i:47006 

— (with Bradley, R. E.) Alternating sequences and induced operators. 92m:47013 

Albrecht, Ernst (with Ricker, Werner J.) Local spectral properties of constant coefficient 
differential operators in L?(R”). 92b:47048 

Aleksandrov, E. L. On the completeness of a system of powers of a random variable in the 
Hilbert space L?(Q,F,P). (Russian) 92i:60003 

Altomare, Francesco Lototsky-Schnabl operators on the unit interval. (French summary) 
92j:41035 

Alvarez, Josefina (with Milman, Mario) Calderon-Zygmund operators and Poisson-like 
operators. 92b:42023 

Anderson, James Milne (with Fernandez, José L.; Shields, A. L.) Inner functions and cyclic 
vectors in the Bloch space. 92f:46063 

Arendt, Wolfgang (with Voigt, Jiirgen) Approximation of multipliers by regular operators. 
92j:47062 

Arlotti, Luisa A perturbation theorem for positive contraction semigroups on L'-spaces 
with applications to transport equations and Kolmogorov’s differential equations. 
924:47055 

Asmar, Nakhlé H. (with Berkson, Earl; Gillespie, T. A.) Distributional control and 
generalized analyticity. 92b:43014 

Ayerbe Toledano, José M. see Dominguez Benavides, T., 92f:47058 

Aziz, Sawsan M. A characterization of a class of differential operators. 92k:47092 

Ballvé, Ma. E. (with de Maria, José L.) On the dual of L* for locally convex spaces. 
92m:46062 

— (with Jiménez Guerra, Pedro) Operators and L* spaces. 92m:46063 

Bardaro, Carlo (with Vinti, Gianluca) Some estimates of integral operators with respect to 
the multidimensional Vitali ®-variation, and applications in fractional calculus. (Italian 
summary) 92k:26050 

— (with Vinti, Gianluca) Modular estimates of integral operators with homogeneous kernels 
in Orlicz type classes. 92¢:47057 

Bartoszek, Wojciech Asymptotic properties of the iterates of stochastic operators on (AL) 
Banach lattices. 92a:47007 

Baskakov, A. G. Wiener’s theorem and asymptotic estimates for elements of inverse 
matrices. (Russian) 92g:47049 

Bator, Elizabeth M. see Abbott, Catherine A.; et al., 92b:46047 

Baxter, J. R. see Akcoglu, M. A.; et al., 92i:47006 

Berend, Daniel A note on the L” analogue of the “zero-two” law. 92c:47011 

Berkson, Earl (with Bourgain, Jean; Gillespie, T. A.) On the almost everywhere conver- 
gence of ergodic averages for power-bounded operators on L?-subspaces. 92j:47024 

— see also Asmar, Nakhlé H.; et al., 92b:43014 

Bertoglio, Néstor (with Dartnell, P.; Martinez, Servet A.; San Martin, Jaime) A regularisa- 
tion result of the continuous PMC Markov semigroups. 92k:47082 

Bésler, I. (with Daugavet, I. K.) Approximation of nonlinear operators by Volterra 
polynomials. (Russian) 92h:47097 

Bilyeu, Russell G. see Abbott, Catherine A.; et al., 92b:46047 

Blasco De La Cruz, Oscar Spaces of vector valued analytic functions and applications. 
92j:46060 

Béttcher, Albrecht Truncated Toeplitz operators on the polydisk. 92a:47035 

— (with Spitkovskii, I. M.) Toeplitz operators with PQC symbols on weighted Hardy spaces. 
92k:47046 

Bourdaud, Gérard Le calcul fonctionnel dans les espaces de Sobolev. [Functional calculus in 
Sobolev spaces] 92f:46035 





47B38 


— Le calcul fonctionnel dans les espaces de Sobolev. [Functional calculus in Sobolev spaces] 
(see 92£:35007) 

— (with Meyer, Yves) Fonctions qui opérent sur les espaces de Sobolev. [Functions acting 
on Sobolev spaces] 92¢:46062 

Bourgain, Jean see Berkson, Earl; et al., 92j:47024 

Boyarsky, Abraham (with Gora, Pawel) The pseudo-orbit shadowing property for Markov 
operators in the space of probability density functions. 92j:58059 

Bradley, R. E. Concerning induced operators and alternating sequences. 92h:47010 

— On induced operators. 92m:47014 

— see also Akcoglu, M. A., 92m:47013 

Budylin, A.M. (with Buslaev, V.S.) Reflection operators and their applications to 
asymptotic investigations of semiclassical integral equations. (see 92g:35153) 

Buslaev, V.S. see Budylin, A. M., (92g:35153) 

Carmona, René (with Lacroix, Jean) * Spectral theory of random Schrédinger operators. 
92k:47143 

Castillo, Jestis M. F. (with Sanchez Fernandez, Fernando) Absolutely (oo, p) summing and 
weakly-p-compact operators in C(K). 

Cengiz, Bahattin On the isometries of the space K(). 92j:46044 

Chang, Kun Soo (with Ryu, Kun Sik) Analytic operator valued function space integrals as 
an (Lp, Lp) theory. 92f:46055 

Chen, Guang Rong (with Meng, Bo Qin) Linear operator interpolation in Orlicz spaces. 
(Chinese. English summary) 

— (with Wu, Garidi) Approximation of convolution type operators in Orlicz spaces. 
(Chinese. English summary) 92j:42002 

Chen, Tian Ping (with Zhang, De Zhi) A new description of H?(R") and the boundedness 
of C-Z operators on all H’(R") (p< r< 1). 92¢:42012 

Ciulli, M. (with Ciulli, S.; Spearman, T. D.) Weak-star compactness and its relevance to 
analyticity problems. 92f:46091 

Ciulli, S. see Ciulli, M.; et al., 92f:46091 

Clancey, Kevin F. Representing measures on multiply connected planar domains. 
92e:46110 

Cockburn, Bernardo On the continuity in BV(Q) of the L?-projection into finite element 
spaces. 92a:65288 

Comez, Dogan (with Lin, Michael) Mean ergodicity of L; contractions and pointwise 
ergodic theorems. 92k:47016 

— A generalization of Dunford-Schwartz theorem. (Turkish summary) 92e:47011 

Connett, William C. (with Markett, Clemens; Schwartz, Alan L.) Convolution and 
hypergroup structures associated with a class of Sturm-Liouville systems. 92j:43005 

Corduneanu, C. * Integral equations and applications. 92h:45001 

Cotlar, Mischa (with Sadosky, Cora) The Helson-Szegé theorem in L? of the bidimensional 
torus. 92a:42021 

Cowen, Carl C. An application of Hadamard multiplication to operators on weighted Hardy 
spaces. 92e:47046 

Cumenge, Anne Comparaison des projecteurs de Bergman et Szegé et applications. 
[Comparison of Bergman and Szegé projectors, and applications] 92c:32027 

Curto, Raul E. (with Yan, Ke Ren) The Taylor spectrum of infinite direct sums. 92f:47004 

Dartnell, P. see Bertoglio, Néstor; et al., 92k:47082 

Daugavet, I. K. see Besler, I., 92h:47097 

Davis, B. Mark (with McCarthy, John E.) Multipliers of de Branges spaces. 92k:46034 

Deshpande, M. V. (with Parekh, M. N.) Compact operators on a Banach space into the 
space of almost periodic functions. 92f:43010 

Ding, Jiu (with Li, Tien-Yien) Markov finite approximation of Frobenius-Perron operator. 
92i:47008 

Din’ Khoang An’ Factorization of a certain G-transform in weighted Lp-spaces and its 
application to the solution of integral equations. (Russian. English summary) 92j:44002 

Dominguez Benavides, T. (with Ayerbe Toledano, José M.) Set-contractions and ball- 
contractions in L’-spaces. 92f:47058 

Dowling, Patrick N. Some applications of convolution of operators on Banach spaces. 
92k:46024 

D’yakonov, K. M. Moduli and arguments of analytic functions from subspaces in H? that 
are invariant under the backward shift operator. (Russian) 92£:30049 

— Entire functions of exponential type and model subspaces in H?. (Russian. English 
summary) 92h:30072 

Edmunds, David E. (with Sun, Jiong) Approximation and entropy numbers of Sobolev 
embeddings over domains with finite measure. 92i:46034 

Fedorov, S. I. Harmonic analysis in a multiply connected domain. I. (Russian) 92m:30068a 

— Harmonic analysis in a multiply connected domain. II. (Russian) 92m:30068b 

Feichtinger, Hans G. An elementary approach to the generalized Fourier transform. 
92h:46055 

Fekete, Otte On some second order integral operators and Hardy classes. 

Fernandez, José L. see Anderson, James Milne; et al., 92f:46063 

Ferrer Villanueva, José R. (with Lépez Pellicer, M.; Sanchez Ruiz, Luis M.) Compact 
contractive projections in continuous function spaces. 92h:46029 

Fraenkel, L. E. A space of slowly decreasing functions with pleasant Fourier transforms. 
92k:46041 

Frazier, Michael see Adams, David R., 92¢:46061 

Gabidzashvili, M. A. Weighted inequalities for potentials in spaces of homogeneous type. 
(Russian. English summary) 92h:46039 

Garcia-Cuerva, José General endpoint results in extrapolation. 92d:46074 

Georgakis, Constantine The Hausdorff mean of a Fourier-Stieltjes transform. 92m:42009 

Gillespie, T. A. see Asmar, Nakhlé H.; et al., 92b:43014 and Berkson, Earl; et al., 92j:47024 

Girardi, Maria (with Uhl, J. J., Jr.) Slices, RNP, strong regularity, and martingales. 
92a:46020 

—— Weak vs. norm compactness in L;: the Bocce criterion. 924:46075 

Glaeske, Hans-Jiirgen (with Vi Kim Tuan) Mapping properties and composition structure 
of multidimensional integral transforms. 92m:44014 

Godefroy, Gilles Opérateurs ayant un sous-espace dense de vecteurs hypercycliques. 
[Operators with a dense hypercyclic vector subspace] 92d:47028 

— (with Shapiro, Joel H.) Operators with dense, invariant, cyclic vector manifolds. 
924:47029 


OPERATOR THEORY 


1992 780 


Goldberg, Maxim J. A functional calculus for a matrix perturbation of d/dx. 92m:47033 

— A functional calculus for a scalar perturbation of 0/9z. 92k:46060 

Gonzalez, Manuel (with Gutiérrez del Alamo, Joaquin M.) Compact and weakly compact 
homomorphisms between algebras of differentiable functions. 92j:46095 

Géra, Pawel see Boyarsky, Abraham, 92j:58059 

Grenkova, L. N. (with Molchanov, S. A.; Sudarev, Yu. N.) The structure of the edge of the 
multidimensional Anderson model spectrum. (Russian. English summary) 92a:81028 

Grobler, J. J. (with Swanepoel, G.) Duality between Carleman and semi-Carleman 
operators in Riesz spaces. 92d:47053 

Gu, Dangsheng Bergman projections and duality in weighted mixed-norm spaces of analytic 
functions. 92m:46034 

Gustafsson, Bjérn (with Peetre, Jaak) Mébius invariant operators on Riemann-surfaces. 
92¢:30050 

Gutek, A. (with Hart, D. R.; Jamison, James E.; Rajagopalan, Minakshisundaram) Shift 
operators on Banach spaces. 92g:47046 

Gutiérrez, Cristian E. (with Urbina, Wilfredo O.) Estimates for the maximal operator of the 
Ornstein-Uhlenbeck semigroup. 92a:42023 

Gutiérrez del Alamo, Joaquin M. see Gonzalez, Manuel, 92j:46095 

Hahn, Kyong T. (with Youssfi, El Hassan) Mébius invariant Besov p-spaces and Hankel 
operators in the Bergman space on the ball in C”. 92m:47051 

Han, Yong Sheng (with Jawerth, Bjérn; Taibleson, Mitchell H.; Weiss, Guido) Littlewood- 
Paley theory and ¢-families of operators. 92h:46043 

— (with Sawyer, Eric T.) Para-accretive functions, the weak boundedness property and the 
Tb theorem. 92b:46041 

Hart, D. R. see Gutek, A.; et al., 92g:47046 

Hernandez Rodriguez, Francisco L. Disjointly strictly-singular operators in Banach lattices. 
92i:47038 

Hofmann, Steve Weighted inequalities for commutators of rough singular integrals. 
92d:42009 

Holderrieth, A. Matrix multiplication operators generating one parameter semigroups. 
92b:47058 

Huijsmans, C. B. (with de Pagter, Ben) Disjointness preserving and diffuse operators. 
92k:47071 

Hyers, D. H. Polynomial operators. 92¢e:39030 

Iwanik, Anzelm (with de Sam Lazaro, José) Sur la multiplicité L’ d’un automorphisme 
gaussien. (English summary) [On the L? multiplicities of Gaussian automorphisms] 
92£:47006 

Jamison, James E. see Gutek, A.; et al., 92g:47046 

Jarosz, Krzysztof Automatic continuity of separating linear isomorphisms. 92j:46049 

Jawerth, Bjérn see Han, Yong Sheng; et al., 92h:46043 

Jiang, Hui Ming Weighted-BMO and the Hilbert transform. 92h:42016 

Jiménez Guerra, Pedro see Ballvé, Ma. E., 92m:46063 

Jones, Roger L. (with Olsen, James H.; Wierdl, Maté) Subsequence ergodic theorems for L? 
contractions. 92h:47011 

Kachurovskii, A.G. A property of operators generated by ergodic automorphisms. (Russian) 
92k:47017 

Kalla, Shyam L. (with Kiryakova, Virginia S.) An H-function generalized fractional 
calculus based upon compositions of Erdélyi-Kober operators in L,. 92i:26012 

Kalton, N. J. Differentials of complex interpolation processes for Kéthe function spaces. 
92m:46111 

Karapetyants, N. K. (with Samko, S. G.) * YpaBHeHHs Cc HHBOMIOTHBHBIMH ONepaTopaMH # 
HX NpHoxenuaA. (Russian) [Equations with involutive operators and their applications] 
92m:47020 

— (with Murdaev, Kh. M.; Yakubov, A. Ya.) The isomorphism realized by fractional 
integrals in generalized Hélder classes. (Russian) 92c:26006 

Karlovich, Yu. I. (with Kravchenko, V. G.; Litvinchuk, G. S.) On the Noethericity and 
Mikhlin symbols of operators of the type singular integral operators with shift type. 
(Russian. English and German summaries) 92g:47075 

Kierat, Wiadystaw (with Skornik, Krystyna) On continuity of perfect operators in the space 
C\). (see 92d:30002) 

Kiryakova, Virginia S. see Kalla, Shyam L., 92i:26012 

Kokotov, A. Yu. The spectrum of a C*-algebra of Fourier multipliers in a cone. (Russian) 
92k:46094 

Koldobskii, A. L. Convolution equations in certain Banach spaces. 92¢:46091 

Komal, B.S. Spectra of quasinormal composition operators on /?. 92a:47038 

— (with Pathania, Rajeshwar Singh) On eigenvalues of composition operators on /?. 
92:47024 

Komatu, Yésaku Distortion on the range of analytic functions referred to an operator. 
92k:30017 

Korenblum, Boris Transformation of zero sets by contractive operators in the Bergman 
space. 92a:30049 

Korobeinik, Yu. F. Nontrivial expansions of zero in absolutely representing systems. 
Applications to convolution operators. (Russian) 92m:34024 

— Solvability of the convolution equation in some classes of analytic functions. (Russian) 
92d:46100 

Kravchenko, V.G. see Karlovich, Yu. 1.; et al., 92g:47075 

Krengel, Ulrich (with Lin, Michael; Wittmann, Rainer) A limit theorem for order 
preserving nonexpansive operators in L;. 92d:47071 

Krug, Donald Boundedness of certain multiplier operators in Fourier analysis on weighted 
Lebesgue spaces. 92k:42018 

Kuzin-Aleksinskii, S. A. A criterion for weak compactness of the embedding of symmetric 
spaces. (Russian) (see 92m:46002) 

Lacroix, Jean see Carmona, René, 92k:47143 

Lee, Felix A mean ergodic theorem for multiparameter superadditive processes on Banach 
lattices. 92e:47013 

Lee, W. M. F. see Akcoglu, M. A.; et al., 92i:47006 

Lewis, Paul W. see Abbott, Catherine A.; et al., 92b:46047 

Li, Tien-Yien see Ding, Jiu, 92i:47008 

Ligocka, Ewa On the regularity of coanalytic Toeplitz operators. 92j:47047 

Lin, Michael (with Sine, Robert) Contractive projections on the fixed point set of L,, 





781 1992 


contractions. 92h:47012 

— see also Krengel, Ulrich; et al., 92d:47071 and Cémez, Dogan, 92k:47016 

Lin, Pei-Kee The isometries of H?(K). 924:46091 

Litvinchuk, G.S. see Karlovich, Yu. 1.; et al., 92g:47075 

Lépez Pellicer, M. see Ferrer Villanueva, José R.; et al., 92h:46029 

Lotto, B. A. (with Sarason, Donald) Multiplicative structure of de Branges’s spaces. 
92k:46035 

LubaB, Martina Eine Methode zur Fortsetzung kompakter Operatoren. (English and 
Russian summaries) [A method for the extension of compact operators] 

Maksimova, O. D. Integral operators with infinite matrix kernels. (Russian) 92d:47066 

de Maria, José L. see Ballvé, Ma. E., 92m:46062 

Markett, Clemens see Connett, William C.; et al., 92j:43005 

Markina, I.G. The change of variable that preserves the differential properties of functions. 
(Russian) 924:46086 

Marschall, Jiirgen Weighted parabolic Triebel spaces of product type. Fourier multipliers 
and pseudo-differential operators. 92m:47104 

Martinez, Servet A. see Bertoglio, Néstor; et al., 92k:47082 

Mazure, M.-L. Equations de convolution et formes quadratiques. (English summary) 
[Convolution equations and quadratic forms] 92k:47144 

McCarthy, John E. see Davis, B. Mark, 92k:46034 

Megretskii, A. V. A quasinilpotent Hankel operator. (Russian) 92a:47037 

Méndez Pérez, José Manuel Romulo (with Socas Robayna, Martin M.) A pair of general- 
ized Hankel-Clifford transformations and their applications. 92¢:44004 

Meng, Bo Qin see Chen, Guang Rong; et al. 

Meng, Xiang Wu 7-operator in C” and its applications. 92d:32022 

Mesiar, Radko Sur la convergence ponctuelle de 7” f/a, dans L,. (English summary) [On 
the pointwise convergence of T" f/a, in Lp] 92k:47018 

Meyer, Yves see Bourdaud, Gérard, 92e:46062 

Michel, Joachim An asymptotic formula for the Bergman projection on a certain class of 
domains in C. 92h:30071 

Milman, Mario see Alvarez, Josefina, 92b:42023 

Mitchell, Josephine (with Sampson, G.) Two-sided L'-estimates for Szegé kernels on 
classical domains. 924:32045 

Molchanov, S. A. see Grenkova, L. N.; et al., 92a:81028 

Miller, Detlef Horst On weighted estimates for the Kakeya maximal operator. 92¢e:42012 

Murdaev, Kh. M. see Karapetyants, N. K.; et al., 92c:26006 

Mynbaev, K. T. On the approximation of the differentiation operator on a weighted Sobolev 
class. (Russian) 92k:46051 

Nahmod, Andrea R. Geometry of operators and spectral analysis on spaces of homogeneous 
type. (French summary) 92k:47098 

Nakanishi, Shizu An extension theorem for r-continuous linear operators on Denjoy 
integrable functions. 92m:47011 

van Neerven, J. M. A. M. A converse of Lotz’s theorem on uniformly continuous semi- 
groups. 92m:47077 

Neretin, Yu. A. On a semigroup of operators in the boson Fock space. (Russian) 92¢:47066 

Neuhardt, Erwin Kernel operators on L?-spaces associated with semifinite von Neumann 
algebras. 92k:46111 

Nguyén Hong Thai The theory of semimoduli of infra-semi-units in ideal spaces of vector 
functions and its applications to integral operators. (Russian) 92h:46050 

Noll, Dominikus Strict singularity of inclusion operators between y-spaces and Meyer-K6énig 
Zeller type theorems. 92b:46025 

Olsen, James H. see Jones, Roger L.; et al., 92h:47011 

Onneweer, C. W. (with Quek, T.S.) Multipliers on weighted Hardy spaces over locally 
compact Vilenkin groups. II. 92f:43006 

Orochko, Yu. B. Spectral representation of a hyperbolic evolution process that is connected 
with the Sturm-Liouville differential expression. (Russian) 924:47058 

de Pagter, Ben see Huijsmans, C. B., 92k:47071 

Pandey, J. N. (with Singh, Om Prakash') On the p-norm of the truncated n-dimensional 
Hilbert transform. 924:44009 

Parekh, M. N. see Deshpande, M. V., 92f:43010 

Parfenov, O. G. On the properties of embedding operators of some classes of analytic 
functions. (Russian) 92k:46032 

Pathania, Rajeshwar Singh see Komal, B. S., 92f:47024 

Paulsen, Vern I. Rigidity theorems in spaces of analytic functions. 92d:46136 

Peetre, Jaak see Gustafsson, Bjorn, 92c:30050 

Petrina, E. D. Spectral properties of the Mayer-Montroll operator. (Russian. English 
summary) 92m:82014 

Pitts, David R. A note on the connectedness problem for nest algebras. 92c:47054 

Plichko, A. N. (with Popov, M. M.) Symmetric function spaces on atomless probability 
spaces. 92f:46032 

Popov, M. M. see Plichko, A. N., 92f:46032 

Prieto Yerro, Angeles Strict continuous homomorphisms on spaces of bounded holomor- 
phic functions. 

Przeworska-Rolewicz, Danuta Remarks on multipliers for right inverses in D-algebras. 
92j:47007 

Putinar, Mihai On invariant subspaces of several variable Bergman spaces. 92f:46023 

Qian, Min (with Xu, Ping) Coherent states, inverse mapping formula for Weyl transforma- 
tions and application to equations of KdV type. 92b:58104 

Quek, T.S. see Onneweer, C. W., 92f:43006 

Raichinov, I. (with Raichinov, R. I.) On linear operators acting in spaces of analytic 
functions and commuting with Euler’s operator. 924:46064 

Raichinov, R. I. see Raichinov, I., 92d:46064 

Rajagopalan, Minakshisundaram see Gutek, A.; et al., 92g:47046 

Ramm, A. G. Necessary and sufficient condition for 7 to have property C. 92a:35038 

Rebowski, Ryszard On the lattice structure of invariant functions for Markov operators on 
C(X). 92d:47013 

— On the lattice properties of invariant functions for Markov operators on C(X). 
92h:47048 

Ricker, Werner J. Spectral-like multipliers in L’(R). 92j:42009 

— see also Albrecht, Ernst, 92b:47048 


47B Special classes of linear operators 


Ruelle, David An extension of the theory of Fredholm determinants. 92b:58187 

Ryu, Kun Sik see Chang, Kun Soo, 92f:46055 

Saal, Linda The Szegé operator on SU(N, 1). 92h:43020 

Sadosky, Cora see Cotlar, Mischa, 92a:42021 

Sagher, Yoram (with Siadat, M. Vali; Zhou, Ke Cheng) Norm inequalities for integral 
operators on cones. 92f:47053 

Samko, S. G. see Karapetyants, N. K., 92m:47020 

de Sam Lazaro, José see Iwanik, Anzelm, 92f:47006 

Sampson, G. see Mitchell, Josephine, 92d:32045 

Sanchez Fernandez, Fernando see Castillo, Jestis M. F. 

Sanchez H., José A. see Aguayo, José, 92f:46020 

Sanchez Ruiz, Luis M. see Ferrer Villanueva, José R.; et al., 92h:46029 

San Martin, Jaime see Bertoglio, Néstor; et al., 92k:47082 

Sarason, Donald see Lotto, B. A., 92k:46035 

Sato, Ryotaro On pointwise ergodic theorems for positive operators. 92d:47014 

Sato, Shuichi Note on a Littlewood-Paley operator in higher dimensions. 92¢:42020 

Sawyer, Eric T. see Han, Yong Sheng, 92b:46041 

Schneider, Reinhold Bessel potential operators for canonical Lipschitz domains. 92m:46048 

Schwartz, Alan L. see Connett, William C.; et al., 92j:43005 

Seeger, Andreas Remarks on singular convolution operators. 92a:42020 

Shapiro, Joel H. see Godefroy, Gilles, 92d:47029 

Shen, Xie Chang (with Wen, Ming) Biorthogonal bases and multiple interpolation in 
weighted Hardy spaces. 92f:42025 

Sheng, Bao Huai Approximation of Meyer-K6nig-Zeller integral type operators in Orlicz 
spaces. (Chinese. English summary) 924:41053 

Sheu, Albert Jeu-Liang Reinhardt domains, boundary geometry, and Toeplitz C*-algebras. 
922:46068 

Shields, A. L. see Anderson, James Milne; et al., 92f:46063 

Shulman, V.S. Multiplication operators and spectral synthesis. (Russian) 92f:47016 

Siadat, M. Vali see Sagher, Yoram; et al., 92f:47053 

Silva, Cesar E. (with Thieullen, Philippe) The subadditive ergodic theorem and recurrence 
properties of Markovian transformations. 92a:47009 

Sine, Robert see Lin, Michael, 92h:47012 

Singh, Dinesh see Singh, U. N., 92b:46028 

Singh, Om Prakash’ see Pandey, J. N., 92d:44009 

Singh, U. N. (with Singh, Dinesh) On a theorem of de Branges. 92b:46028 

Skérnik, Krystyna see Kierat, Wladyslaw, (92d:30002) 

Socas Robayna, Martin M. see Méndez Pérez, José Manuel Romulo, 92¢:44004 

Spearman, T. D. see Ciulli, M.; et al., 92f:46091 

Spiliopoulos, G. D. A note on continuous linear mappings between function spaces. 
92m:54034 

Spitkovskii, I. M. see Béttcher, Albrecht, 92k:47046 

Stepanov, V. D. On the boundedness of linear integral operators on a class of monotone 
functions. (Russian) 92m:47102 

Sudarev, Yu. N. see Grenkova, L. N.; et al., 92a:81028 

Sun, Jiong see Edmunds, David E., 92i:46034 

Swanepoel, G. see Grobler, J. J., 92d:47053 

Taibleson, Mitchell H. see Han, Yong Sheng; et al., 92h:46043 

Talagrand, Michel Cotype of operators from C(K). 92m:47074 

Tervo, Jouko On realizations and positivity of linear integral operators. 92k:47097 

Thieullen, Philippe see Silva, Cesar E., 92a:47009 

Timerbaev, M. R. Measurability of kernels of vector integral operators. (Russian) (see 
92d:28002) 

Tyurin, V. M. Invertibility of linear differential operators in some function spaces. 
(Russian) 92k:47091 

Uhl, J. J., Jr. see Girardi, Maria, 92a:46020 

Ulger, A. Continuous linear operators on C(K, X) and pointwise weakly precompact subsets 
of C(K,X). 92k:46059 

Ullrich, David C. Maximal operators in Besov spaces and bounded holomorphic functions 
in the ball. 92a:32006 

Urbina, Wilfredo O. see Gutiérrez, Cristian E., 92a:42023 

Vainerman, L. I. Hypercomplex systems and finite-difference operators. (Russian) 
92g:43006 

Videnskii, V.S. Positive linear operators constructed in the Bernstein basis. (Russian) (see 
92i:00016) 

Vinti, Gianluca see Bardaro, Carlo, 92c:47057 and 92k:26050 

Voigt, Jirgen see Arendt, Wolfgang, 92j:47062 

Vii Kim Tuan see Glaeske, Hans-Jirgen, 92m:44014 

Waszak, Aleksander Approximation problems in modular spaces of double sequences. 
92j:46015 

Weiss, Guido see Han, Yong Sheng; et al., 92h:46043 

Wen, Ming see Shen, Xie Chang; et al., 92f:42025 

Wierdl, Maté see Jones, Roger L.; et al., 92h:47011 

Wisniewski, Andrzej Measurable linear functionals and operators on Fréchet spaces. 
92}j:60005 

Wittmann, Rainer see Krengel, Ulrich; et al., 92d:47071 

Wu, Garidi see Chen, Guang Rong; et al., 92j:42002 

Xiao, Jie! Bounded projection, harmonic conjugation and completeness of {(1 — @j)z)~°~'} 
in L?(g). (Chinese summary) 92£:30066 

Xu, Ping see Qian, Min; et al., 92b:58104 

Yakubov, A. Ya. see Karapetyants, N. K.; et al., 92c:26006 

Yan, Ke Ren see Curto, Raul E., 92f:47004 

Yaskolko, S. V. Semigroups of measurable families of bounded operators. (Russian) 
92a:47048 

Youssfi, El Hassan see Hahn, Kyong T., 92m:47051 

Yu, Shu Mo Theorems of F. and M. Riesz concerning harmonic analysis of operators on the 
additive group of real numbers. (Chinese) 92f:43005 

— The L'(G, A)-module homomorphism and the invariant operators from L’(G, A) to 
L?(G,X) for 1 < p < co. (Chinese) 924:46128 

Zhang, De Zhi see Chen, Tian Ping; et al., 92c:42012 





47B38 


Zheng, Xi Yin Weakly compact linear operators into L(u). 92¢:47022 

Zhou, Ke Cheng see Sagher, Yoram; et al., 92f:47053 

Zhou, Min Qiang Weighted norm inequalities for the maximal function on spaces of 
homogeneous type. 92b:42026 

Zhu, Ke He * Operator theory in function spaces. 92¢:47031 

— Functions of bounded mean oscillation in the Bergman metric on bounded symmetric 
domains. 92j:32013 

Zolozhuk, P. A. A representation of the solution of an inhomogeneous operator equation in 
the class of entire functions of several complex variables. (Russian) (see 92d:28002) 


47B39 Difference operators [see also 39A70] 


Allakhverdiev, B. P. (with Bairamov, E. M.) On the spectral theory of a system of first- 
order nonselfadjoint difference operators. (Russian. English and Azerbaijani summaries) 
92b:47047 

Aomoto, Kazuhiko Selfadjointness and limit pointness for adjacency operators on a tree. 
92a:47041 

— Point spectrum on a quasihomogeneous tree. 92g:47042 

Bairamov, E. M. see Allakhverdiev, B. P., 92b:47047 

Chernyshev, V. N. Convergence of absolutely continuous spectral measures for truncations 
of limit Jacobi matrices. (Russian) 92e:47058 

Frank, L.S. Toeplitz matrices and the theory of one-parameter families of difference 
operators. 92d:47048 

Hinton, D. B. (with Klaus, Martin; Shaw, J. K.) Half-bound states and Levinson’s theorem 
for discrete systems. 924:47049 

Kalfat, Abderrahim Remarks on Volterra right inverses for weighted difference operator of 
high degree. 92j:47057 

Klaus, Martin see Hinton, D. B.; et al., 924:47049 

Malozémov, L. A. On the absolutely continuous spectrum of the Schrodinger difference 
operator. (Russian) 92¢:47044 

Rabinovich, V.S. Spectral properties of a class of difference operators. (Russian) 
92m:47065 

Shaw, J. K. see Hinton, D. B.; et al., 92d:47049 

Smith, Dale T. On the spectral analysis of selfadjoint operators generated by second order 
difference equations. 92j:47058 


Items with secondary classifications in 47B39 

Avron, J. E. (with van Mouche, P. H. M.; Simon, Barry) On the measure of the spectrum 
for the almost Mathieu operator. 92d:39014a 

— (with van Mouche, P. H. M.; Simon, Barry) Erratum: “On the measure of the spectrum 
for the almost Mathieu operator”. 924:39014b 

Baskakov, A.G. Wiener’s theorem and asymptotic estimates for elements of inverse 
matrices. (Russian) 92g:47049 

Béllissard, Jean Spectral properties of Schrédinger’s operator with a Thue-Morse potential. 
92b:82007 

Derfel’, G. A. Kato problem for functional-differential equations and difference Schrédinger 
operators. 92g:34093 

Frolov, S. V. see Pavlov, B. S., 92i:81372 and 92m:34189 

Grenkova, L. N. (with Molchanov, S. A.; Sudarev, Yu. N.) The structure of the edge of the 
multidimensional Anderson model spectrum. (Russian. English summary) 92a:81028 

Helffer, B. (with Sjéstrand, Johannes) Semiclassical analysis for Harper’s equation. III. 
Cantor structure of the spectrum. (French summary) 92m:35011 

Kalyuzhnyi, A. A. Duality of generators of one-dimensional compact and discrete hyper- 
complex systems. (Russian) 92g:43005 

Kirsch, Werner (with Molchanov, S. A.; Pastur, L. A.) The one-dimensional Schrédinger 
operator with unbounded potential: the pure point spectrum. (Russian) 92e:47080 

Lokutsievskaya, E.O. The structure of the spectrum of the Schrédinger operator with 
quasiperiodic potential near the ground state. The discrete and the continuous case. 
(Russian. English summary) 92h:34161 

Maksudov, F.G. (with Mardanov, I. Dzh.) Reduction of a system of linear difference 
equations in a Banach space. (Russian) 92j:39008 

Mardanov, I. Dzh. see Maksudov, F. G., 92j:39008 

Masson, David R. (with Repka, J.) Spectral theory of Jacobi matrices in /?(Z) and the 
su(1, 1) Lie algebra. 92h:33037 

Molchanov, S. A. see Grenkova, L. N.; et al., 92a:81028 and Kirsch, Werner; et al., 92e:47080 

van Mouche, P.H.M. see Avron, J. E.; et al., 924:39014a and 924:39014b 

(Nazaikinskii, V.E.) see Zhitomirskaya, S. Ya., 92j:81039 

Pastur, L. A. see Kirsch, Werner; et al., 92e:47080 

Pavlov, B.S. (with Frolov, S. V.) A formula for the sum of the effective masses of a 
multidimensional lattice. (Russian. English summary) 92i:81372 


— (with Frolov, S. V.) Spectral identities for the zone spectrum in the one-dimensional case. 


(Russian. English summary) 92m:34189 

Repka, J. see Masson, David R., 92h:33037 

Simon, Barry see Avron, J. E.; et al., 92d:39014a and 924:39014b 

Sjostrand, Johannes see Helffer, B., 92m:35011 

Sodin, M. L. (with Yuditskii, P.M.) The limit-periodic finite-difference operator on /?(Z) 
associated with iterations of quadratic polynomials. 92e:58122 

Sudarev, Yu. N. see Grenkova, L. N.; et al., 92a:81028 

Vainerman, L. I. Hypercomplex systems and finite-difference operators. (Russian) 
922:43006 

Vereshchagin, V. L. Spectral theory of one-phase solutions of a Volterra chain. (Russian) 
92m:58069 

Xiong, Xi Wen see Zhan, Tong Sheng; et al. 

Yuditskii, P.M. see Sodin, M. L., 92e:58122 

Zhan, Tong Sheng (with Xiong, Xi Wen) Inverse problems for generalized eigenvalues of 
Jacobi matrices. (Chinese. English summary) 

Zhitomirskaya, S. Ya. The singular spectrum and scale invariance for a Schrodinger 
operator with a binary almost periodic potential. (Russian) 92e:82015 

— Singular spectral properties of a one-dimensional Schrédinger operator with almost 
periodic potential. 92j:81039 


OPERATOR THEORY 


1992 782 


— Spectral properties of one-dimensional almost periodic operators. (Russian) 92h:47051 


47B40 Spectral operators, decomposable operators, well-bounded 
operators, etc. 


Albrecht, Ernst (with Ricker, Werner J.) Local spectral properties of constant coefficient 
differential operators in L?(R). 92b:47048 

Fong, Che Kao Decomposability into spectral manifolds and Bishop’s property (£8). 
92b:47049 

Hou, Xue Zhang (with Zhao, Jie) Strong quasidecomposability of quotients of closed 
operators. (Chinese. English summary) 92i:47037 

Lange, Ridgley (with Wang, Sheng Wang) Universal notions characterizing spectral 
decompositions. 92m:47066 

Li, Liang Qing (with Zou, Cheng Zu) The analytic decomposable n-tuple of commuting 
operators. 

Orhon, Mehmet Boolean algebras of projections on Banach spaces. 92b:47050 

Radjabalipour, Mehdi On adjoints of decomposable operators. 92g:47043 

Ricker, Werner J. Boolean algebras of projections and spectral measures in dual spaces. 
92e:47059 

— Scalar-type spectral operators and C(Q)-operational calculi. 92k:47069 

— see also Albrecht, Ernst, 92b:47048 

Wang, Sheng Wang sce Lange, Ridgley, 92m:47066 

Zhao, Jie see Hou, Xue Zhang; et al., 92i:47037 

Zou, Cheng Zu see Li, Liang Qing; et al. 


Items with secondary classifications in 47B40 

Baskakov, A. G. Spectral analysis with respect to finite-dimensional perturbations of 
spectral operators. (Russian) 92m:47023 

Cioranescu, Ioana Moment sequences for ultradistributions. 92g:46039 

Forster, K.-H. (with Nagy, Béla) The spectral singularities of injective weighted shifts. 
92b:47037 

Laursen, K. B. (with Vrbova, P.) Intertwiners and automatic continuity. 92f:47036 

Nagy, Béla see Forster, K.-H., 92b:47037 

Panchapagesan, T. V. Uniform ordered spectral decompositions. (Spanish summary) 
92b:46118 

Ricker, Werner J. Spectral-like multipliers in L?(R). 92j:42009 

— Kakutani’s example on product spectral measures. 92h:47049 

Vrbova, P. see Laursen, K. B., 92f:47036 


47B44 <Accretive operators, dissipative operators, etc. 


Das, Purna C. see Kumar, Rajiv, 92a:47042 

Journé, Jean-Lin Remarks on Kato’s square-root problem. 92d:47050 

Kumar, Rajiv (with Das, PurnaC.) Perturbation of linear m-accretive operators in Hilbert 
spaces. 92a:47042 

Miyazaki, Yéichi Domains of square roots of regularly accretive operators. 92¢:47045 

Naboko, S. Ya. Estimates in operator classes for the difference of functions from the Pick 
class of accretive operators. (Russian) 92k:47070 


Items with secondary classifications in 47B44 

Auscher, Pascal (with Tchamitchian, Philippe) Ondelettes et conjecture de Kato. (English 
summary) [Wavelets and Kato’s conjecture] 92h:47035 

Das, Purna C. see Kumar, Rajiv, 92j:47100 

Kovalenko, V. F. (with Semenov, Yu. A.) Criteria for m-accretive closability of a second- 
order linear elliptic operator. (Russian) 92i:47057 

Kumar, Rajiv (with Das, PurnaC.) Perturbation of m-accretive operators in Banach spaces. 
92j:47100 

Mil'o, O. Ya. (with Storozh, O. G.) On the general form of a maximally accretive extension 
of a positive-definite operator. (Russian. English summary) 92k:47045 

Neidhardt, Hagen On the abstract inverse scattering problem for dissipative operators. (see 
92b:35006) 

Semenov, Yu. A. see Kovalenko, V. F., 92i:47057 

Seubert, Steven M. Dissipative finite convolution operators. 92¢c:47040 

Storozh, O.G. Extremal extensions of a nonnegative operator, and accretive boundary value 
problems. (Russian. Ukrainian summary) 92m:47012 

— see also Mio, O. Ya., 92k:47045 

Tchamitchian, Philippe see Auscher, Pascal, 92h:47035 

Tsekanovskii, E. R. see Tsekanovskii, V. E., 92h:47013 

Tsekanovskii, V. E. (with Tsekanovskii, E.R.) Stieltjes operator functions with gaps and 
their realization by conservative systems. (Russian) 92h:47013 


47B47 Commutators, derivations, elementary operators, etc. 


Duggal, B. P. A remark on normal derivations of Hilbert-Schmidt type. 92m:47067 

Hou, Jin Chuan On operator inequalities and linear combinations of operators. 92e:47060 

Kato, Tosio Positive commutators i[f(P), g(Q)]. 92h:47042 

Maher, P. J. Commutator approximants. 92j:47059 

Samoilenko, Yu. S. (with Shul‘man, V. S.) Representations of relations of the form 
i[A, B] = f(A) + g(B). (Russian. Ukrainian summary) 92b:47051 

Shulman, V.S. see Samoilenko, Yu. S., 92b:47051 

Sun, Chuan Kun Left and right essential inverses of generalized derivations. (Chinese. 
English summary) 92j:47060 

Tong, Yu Sun Kernels of generalized derivations. 92f:47032 


Items with secondary classifications in 47B47 

Bhatia, Rajendra (with Davis, Chandler; Kittaneh, Fuad) Some inequalities for commuta- 
tors and an application to spectral variation. 92j:47023 

Davis, Chandler see Bhatia, Rajendra; et al., 92j:47023 

Dimovski, Ivan H. (with Vasilev, Mladen V.) New representations of commutants of 
powers of the differentiation operator. 92g:47036 





783 1992 


Exel, Ruy (with Loring, Terry A.) Invariants of almost commuting unitaries. 92a:46083 

Gilfeather, Frank L. (with Smith, Roger R.) Operator algebras with arbitrary Hochschild 
cohomology. 92m:47082 

Hou, Jin Chuan Rank-preserving linear maps on B(X). 92b:47052 

Jun, Kil-Woung see Kim, Byung-Do, 92j:46087 

Kim, Byung-Do (with Jun, Kil-Woung) The range of derivations on noncommutative 
Banach algebras. 92j:46087 

Kissin, Edward V. On derivations of operator algebras implemented by bounded operators. 
92k:47085 

Kittaneh, Fuad see Bhatia, Rajendra; et al., 92j:47023 

Koelink, H. Tjerk On +-representations of the Hopf +-algebra associated with the quantum 
group U,(n). 92b:16080 

Laursen, K. B. (with Vrbova, P.) Intertwiners and automatic continuity. 92f:47036 

Li, Shao Kuan Some problems about elementary operators. II. (Chinese) 92k:47011 

— On generalized Toeplitz operators. 92k:47049 

Loring, Terry A. see Exel, Ruy, 92a:46083 

Pedersen, Steen The product of two (unbounded) derivations. 92a:46081 

Przeworska-Rolewicz, Danuta Commutators with right invertible operators. 92j:47055 

Schweinsberg, Allen Similarity orbits and the range of the generalized derivation ¥ — 
MX -— XN. 92¢:47025 

Semrl, Peter Additive derivations of some operator algebras. 92b:47068 

Smith, Roger R. see Gilfeather, Frank L., 92m:47082 

Vasilev, Mladen V. see Dimovski, Ivan H., 92g:47036 

Vrbova, P. see Laursen, K. B., 92f:47036 

Wang, Jin Hsien (with Wu, Pei Yuan) Sums of square-zero operators. 92m:47075 

Wu, Pei Yuan see Wang, Jin Hsien, 92m:47075 


47B48 Operators on Banach algebras 


Items with secondary classifications in 47B48 

Friedland, Shmuel Characterizations of spectral radius of positive operators on C* algebras. 
92g:46083 

Garimella, Ramesh V. Prime ideals and the continuity of derivations on integral domains. 
92k:46088 

Jun, Kil-Woung see Kim, Byung-Do, 92j:46087 

Kim, Byung-Do (with Jun, Kil-Woung) The range of derivations on noncommutative 
Banach algebras. 92j:46087 

Price, Geoffrey Shifts on certain operator algebras. 92h:46098 

Wojtaszczyk, P. Some remarks on the Daugavet equation. 92k:47041 


47B49 Transformers (= operators on spaces of operators) 


Arazy, Jonathan (with Friedman, Yaakov) Contractive projections in C,. 92f:47033 

Friedman, Yaakov see Arazy, Jonathan, 92f:47033 

Hon, Jin Chuan Rank-preserving linear maps on B(X). 92b:47052 

Mathes, D. Benjamin Completely bounded transformations of #-operator spaces. 
92h:47043 

Omladié, Matjaz (with Semri, Peter) Spectrum-preserving additive maps. 92e:47061 

Rajappa, Asthagiri K. Weak continuity of a composition map between spaces of compact 
operators and Banach valued continuous functions. 92d:47051 

Semrl, Peter see Omladit, Matjaz, 92e:47061 


Items with secondary classifications in 47B49 

Ando, Tsuyoshi (with Okubo, Kazuyoshi) Induced norms of the Schur multiplier operator. 
92k:47015 

Arazy, Jonathan (with Friedman, Yaakov) Contractive projections in C,. (French 
summary) 92b:46111 

Cain, B. E. (with Nelson, S. A.) Solutions to x — axb = w. 92m:47034 

Friedman, Yaakov see Arazy, Jonathan, 92b:46111 

Grubb, Anthea Atomicity preserving automorphisms on the space of linear operators on a 
two-dimensional vector space. 92k:15057 

Hou, Jin Chuan On operator inequalities and linear combinations of operators. 92¢e:47060 

Li, Chi-Kwong (with Rodman, Leiba; Tsing, Nam-Kiu) Linear operators preserving certain 
equivalence relations originating in system theory. 92k:93046 

Moon, Byung Soo A characterization of linear operators with property (A2) on the ordered 
space of Hermitian matrices. 92d:15020 

Nelson, S. A. see Cain, B. E., 92m:47034 

Okubo, Kazuyoshi see Ando, Tsuyoshi, 92k:47015 

Rodman, Leiba see Li, Chi-Kwong; et al., 92k:93046 

Sun, Chuan Kun Left and right essential inverses of generalized derivations. (Chinese. 
English summary) 92j:47060 

Tsing, Nam-Kiu see Li, Chi-Kwong; et al., 92k:93046 

Wang, Lu Qun Rank-one preserving degenerate linear operators. (Chinese. English 
summary) 92i:15001 


47B50 Operators on spaces with an indefinite metric 


Chen, Xiao Man Unitary dilations of semigroups of contractions on I, spaces. (Chinese) 
92b:47053 

Derkach, V. A. Extensions of a Hermitian operator that is not densely defined in a Krein 
space. (Russian. English summary) 92h:47044 

Dritschel, Michael A. (with Rovnyak, James) Extension theorems for contraction operators 
on Krein spaces. 92m:47068 

Etkin, A. E. Generalized resolvents of a contraction in Pontryagin space. (Russian) 
92h:47045 

Gohberg, Israel (with Reichstein, Boris) On H-unitary and block-Toeplitz H-normal 
operators. 92g:47044 

Kamerina, L. A. Quasi-unitary equivalence of operators in spaces with involution. (Russian) 
92g:47045 


47B Special classes of linear operators 


47B50 


Langer, Heinz (with Sasvari, Zoltan) Definitizing polynomials of unitary and Hermitian 
operators in Pontrjagin spaces. 92m:47069 

Mironov, B. G. On the theory of extensions of J-symmetric operators. (Russian) 92h:47046 

Pekarev, E. L. Angular operators of nondegenerate subspaces. (Russian) 92d:47052 

Reichstein, Boris see Gohberg, Israel, 92g:47044 

Rovnyak, James see Dritschel, Michael A., 92m:47068 

Sasvari, Zoltan see Langer, Heinz, 92m:47069 

Shtraus, L. A. Extensions of a J-isometric operator. (Russian) 92j:47061 


Items with secondary classifications in 47B50 


Alpay, Daniel Some remarks on reproducing kernel Krein spaces. 92m:46038 

Antoine, J.-P. (with Ota, Schéichi) Unbounded GNS representations of a *-algebra in a 
Krein space. 92a:46061 

Arov, D. Z. Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. I. (Russian) 92i:30034a 

— y-generating matrices, j-inner matrix functions and related extrapolation problems. II. 
(Russian) 92i:30034b 

— Gamma-generating matrices, j-inner matrix functions and related extrapolation 
problems. III. (Russian) 92i:30034c 

Azizov, T. Ya. (with Khatskevich, V. A.; Shoikhet, D. M.) On the number of fixed points of 
a holomorphism. (Russian) 92h:58023 

Binding, P. A. (with Sleeman, B. D.) Spectral decomposition of uniformly elliptic 
multiparameter eigenvalue problems. 92g:47023 

de Branges, Louis A construction of Krein spaces of analytic functions. 92k:46031 

Brousseau, V. Espaces de Krein et index des systémes hamiltoniens. (English summary) 
[Krein spaces and the index of Hamiltonian systems] 92e:58067 

Cotlar, Mischa (with Sadosky, Cora) Toeplitz liftings of Hankel forms bounded by non- 
Toeplitz norms. 92g:47006 

van Diejen, J. F. (with Tip, A.) Scattering from generalized point interactions using 
selfadjoint extensions in Pontryagin spaces. 92e:81028 

Dym, Harry On reproducing kernels and the continuous covariance extension problem. 
92b:42014 

— A Hermite theorem for matrix polynomials. 92g:15036 

Faierman, Mel (with Mennicken, Reinhard) An elliptic boundary value probl 
nonlinearly upon the eigenvalue parameter. 92k:35212 

Filimonov, A. P. see Selyakova, N. L.; et al., 92i:47004 

Fu, Shou Zhong Extension problems for differential operators in direct sum spaces—J- 
selfadjoint problems in direct sum spaces. II. (Chinese. English summary) 92h:47066 

Han, Sung S. (with Kwon, Kil H.) Spectral analysis of Bessel polynomials in Krein space. 
92g:49031 

Hassi, Seppo A singular value decomposition of matrices in a space with an indefinite scalar 
product. 92f:15008 

Khatskevich, V. A. see Azizov, T. Ya.; et al., 92h:58023 

Kissin, Edward V. Dissipative implementations of *-derivations of C*-algebras and 
representations in indefinite metric spaces. 92j:46121 

Kopylov, V. I. The Dirac system in a space with an indefinite metric. (Russian) 92j:47088 

Kuzhel’, S. A. A condition for the uniform well-posedness of the Cauchy problem in the case 
of spaces with an indefinite metric. (Russian. Ukrainian summary) 92b:34069 

Kwon, Kil H. see Han, Sung S., 92g:49031 

Langer, Heinz (with Schneider, Albert') On spectral properties of regular quasidefinite 
pencils F — AG. 92d:47017 

Langer, Helmut (with Schneider, Albert!) Some remarks about polynomials which are 
orthogonal with respect to an indefinite weight. 92m:33018 

Li, Shao Kuan Complementary spaces in Krein spaces. (Chinese. English summary) 
92¢:46046 

Li, Wen Ming see Shang, Zai Jiu; et al., 92h:34160 

Marcantognini, Stefania Unitary colligations of operators in Krein spaces. 92f:47010 

Matveichuk, M.S. The Gleason and Jordan theorems on hyperbolic quantum logics. 
92i:81024 

— Jordan decomposition of measures on projectors of J-spaces. (Russian) 92b:46104 

— An indefinite measure in J-spaces. (Russian. Ukrainian summary) 924:46160 

Mennicken, Reinhard see Faierman, Mel, 92k:35212 

Mironov, B. G. On the theory of J-symmetric operators with a nondense domain. (Russian) 
92k:47072 

Nagamachi, Shigeaki (with Nishimura, Takeshi) Nonstandard analysis of linear canonical 
transformations on a fermion Fock space with an indefinite metric. 92m:81294 

Neretin, Yu. A. On a semigroup of operators in the boson Fock space. (Russian) 92¢:47066 

Nishimura, Takeshi see Nagamachi, Shigeaki, 92m:81294 

Ota, Schéichi see Antoine, J.-P., 922:46061 

Parada, Raul Felipe Study of a linear pencil of operators associated with a stability problem 
in fluid mechanics. (Spanish. English summary) 92i:76048 

Rodman, Leiba On factorization of selfadjoint operator polynomials. 92¢:47022 

Sadosky, Cora see Cotlar, Mischa, 92g:47006 

Sasvari, Zoltan Conditionally positive definite functions and unitary group representations 
in 2\-spaces. 92b:22004 

Schneider, Albert! see Langer, Heinz, 92d:47017 and Langer, Helmut, 92m:33018 

Selyakova, N. I. (with Filimonov, A. P.; Tsekanovskii, E. R.) Invariant subspaces of 
compact operators in Banach spaces over the quaternion field. (Russian) 92i:47004 

Shang, Zai Jiu (with Li, Wen Ming) Some problems concerning J-sy ric diff ial 
operators. (Chinese. English summary) 92h:34160 

Shoikhet, D. M. see Azizov, T. Ya.; et al., 92h:58023 

Sleeman, B. D. see Binding, P. A., 92g:47023 

Tip, A. see van Diejen, J. F., 92e:81028 

Tong, Yu Sun Local scattering in Krein spaces. (Chinese) 92m:47017 

Tsekanovskii, E.R. see Selyakova, N. 1.; et al., 92i:47004 

Wu, Jing Bo Normal extensions of semigroups of operators to Krein spaces. 92k:47078 

Yarkov, V.G. J-characteristic functions of a pair of linear operators. (Russian) 92j:47026 

Zemskov, L.M. Monotone functions of /-Hermitian operators. (Russian) 92h:47016 





depending 








47B60 


47B60 Operators on ordered spaces 


Abramovich, Yuri A. Operators preserving disjointness on rearrangement invariant spaces. 
92:47034 

Arendt, Wolfgang (with Voigt, Jiirgen) Approximation of multipliers by regular operators. 
92j:47062 

Bidard, C. (with Zerner, M.) The Perron-Frobenius theorem in relative spectral theory. 
92j:47063 

Danet, Nicolae On absolutely ()-summing operators. 92b:47054 

Ghoussoub, N. (with Johnson, William B.) Operators which factor through Banach lattices 
not containing Co. 92j:47064 

Grobler, J. J. (with Swanepoel, G.) Duality between Carleman and semi-Carleman 
operators in Riesz spaces. 924:47053 

Gutman, A. E. An example of a sequentially r-continuous but not majorized operator that 
preserves disjunction. (Russian) 92j:47065 

Hernandez Rodriguez, Francisco L. Disjointly strictly-singular operators in Banach lattices. 
92i:47038 

Johnson, William B. see Ghoussoub, N., 92j:47064 

Murakami, Riichiré6 On positive orthomorphisms determined by two positive operators. 
92m:47070 

Serban-Tofan, Doina Components in the space of bilinear regular operators. 92j:47066 

Shamaey, I. I. Operators of diffusion type. (Russian) 92f:47035 

Swanepoel, G. see Grobler, J. J., 924:47053 

Voigt, Jiirgen see Arendt, Wolfgang, 92j:47062 

Zerner, M. see Bidard, C., 92j:47063 


Items with secondary classifications in 47B60 

Abramovich, Yuri A. (with Aliprantis, Charalambos D.; Burkinshaw, Owen) The Daugavet 
equation in uniformly convex Banach spaces. 92i:47005 

Akcoglu, M. A. (with Bradley, R. E.) Alternating sequences and induced operators. 
92m:47013 

Alikakos, Nicholas D. (with Fusco, Giorgio) A dynamical systems proof of the Krein- 
Rutman theorem and an extension of the Perron theorem. 92b:47027 

Aliprantis, Charalambos D. see Abramovich, Yuri A.; et al., 92i:47005 

Andreu, F. (with Maz6n, José M.) Relation between the boundary point spectrum of a 
generator and of its adjoint. 92¢:47047 

Bernau, S. J. (with Huijsmans, C. B.) On the positivity of the unit element in a normed 
lattice ordered algebra. 92d:46054 

— (with Huijsmans, C. B.; de Pagter, Ben) Sums of lattice homomorphisms. 92h:46009 

Bradley, R. E. On induced operators. 92m:47014 

— see also Akcoglu, M. A., 92m:47013 

Burkinshaw, Owen see Abramovich, Yuri A.; et al., 92i:47005 

Cherdak, V. B. On the order spectrum of r-compact operators in lattice-normed spaces. 
(Russian) 92h:47006 

Conradie, Jurie Duality results for order precompact sets in locally solid Riesz spaces. 
92i:46008 

Cristescu, Romulus Positive precompact operators. 92¢:47062 

Danet, Rodica-Mihaela Sufficient conditions in order that a space of linear operators on an 
ordered vector space has an infinite dimension. II. 92a:47050 

Forster, K.-H. (with Nagy, Béla) Some properties of the spectral radius of a monic operator 
polynomial with nonnegative compact coefficients. 92g:47015 

Fusco, Giorgio see Alikakos, Nicholas D., 92b:47027 

Huijsmans, C. B. see Bernau, S. J., 92d:46054 and 92h:46009 

Jarosz, Krzysztof Automatic continuity of separating linear isomorphisms. 92j:46049 

Knyazikhin, Yu. V. Solvability of plane-parallel problems in radiative transfer theory. 
(Russian) 92a:47075 

Lee, Felix A mean ergodic theorem for multiparameter superadditive processes on Banach 
lattices. 92e:47013 

Mazé6n, José M. see Andreu, F., 92¢:47047 

Moon, Byung Soo A characterization of linear operators with property (A2) on the ordered 
space of Hermitian matrices. 924:15020 

Nagy, Béla see Forster, K.-H., 92g:47015 

Nikolova, Lyudmila I. On the complex method of interpolation for family of Banach 
lattices, some classes of operators. 92m:46042 

Ohno, Takeshi Weak compactness in the classes of strengthened o-order continuous linear 
functionals of Riesz spaces. 92m:46010 

de Pagter, Ben see Bernau, S. J.; et al., 92h:46009 

Pisier, Gilles A remark on IIp(/p,/)). 92j:47079 

Podhorodytiski, Marian Two fixed point theorems for abstract Markov operators. 
92m:47015 

Rabiger, Frank Ergodic Banach lattices. 92¢:46043 

Roach, Gary F. see Xu, Zong Ben, 92a:47026 

Samarskii, V.G. Absolutely summing operators in spaces of cotype 2. (Russian) 92e:47027 

Sato, Ryotaro A note on the almost everywhere convergence of alternating sequences with 
Dunford-Schwartz operators. 92g:47009 

Waszak, Aleksander Approximation problems in modular spaces of double sequences. 
92j:46015 

Xu, Quan Hua Analytic functions with values in lattices and symmetric spaces of measur- 
able operators. 92g:46036 

Xu, Zong Ben (with Roach, Gary F.) An alternating procedure for operators on uniformly 
convex and uniformly smooth Banach spaces. 92a:47026 

Zaharopol, Radu On subinvariant elements in Banach lattices. 92a:47043 

— KB-spaces and subinvariant elements of positive operators. 92a:47044 


47B65 Positive operators and order-bounded operators 

Andreu, F. (with Caselles, V.; Martinez, Josep; Mazon, José M.) The essential spectrum of 
AM-compact operators. 92j:47067 

Caselles, V. see Andreu, F.; et al., 92j:47067 

Cristescu, Romulus Positive precompact operators. 92e:47062 


OPERATOR THEORY 1992 784 


Danet, Rodica-Mihaela A result about the existence of a positive linear operator. 92¢:47063 

Feldman, William (with Kranz, Przemo; Porter, James) Dominated compact positive 
operators. (Russian summary) 92b:47055 

Friedland, Shmuel Characterizations of the spectral radius of positive operators. 92d:47054 

Gutek, A. (with Hart, D. R.; Jamison, James E.; Rajagopalan, Minakshisundaram) Shift 
operators on Banach spaces. 92g:47046 

Hart, D. R. see Gutek, A.; et al., 92g:47046 

Huijsmans, C. B. (with de Pagter, Ben) Disjointness preserving and diffuse operators. 
92k:47071 

Jamison, James E. see Gutek, A.; et al., 92g:47046 

Kolesnikov, E. V. (with Kusraev, A.G.) Functional representation of a Lebesgue extension. 
(Russian) 92h:47047 

Kranz, Przemo see Feldman, William; et al., 92b:47055 

Kusraev, A. G. see Kolesnikov, E. V., 92h:47047 

Lavrié, Boris A note on lattice operations of Riesz spaces of order bounded operators. 
92b:47056 

Marek, Ivo (with Szyld, Daniel B.) Pseudoirreducible and pseudoprimitive bounded 
operators. 92g:47047 

Martinez, Josep (with Mazon, José M.) Quasi-compactness of dominated positive 
operators and Co-semigroups. 92g:47048 

— see also Andreu, F.; et al., 92j:47067 

Mazon, José M. see Martinez, Josep, 92g:47048 and Andreu, F.; et al., 92j:47067 

Nagel, Rainer Order in pure and applied functional analysis. 92m:47071 

de Pagter, Ben see Huijsmans, C. B., 92k:47071 

Porter, James see Feldman, William; et al., 92b:47055 

Rabiger, Frank Lower and upper 2-estimates for order bounded sequences and Dunford- 
Pettis operators between certain classes of Banach lattices. 92j:47068 

Rajagopalan, Minakshisundaram see Gutek, A.; et al., 92g:47046 

Rebowski, Ryszard On the lattice properties of invariant functions for Markov operators on 
C(X). 92h:47048 

Szyld, Daniel B. see Marek, Ivo, 92g:47047 

Voicu, Mihai Resolvent positive operators. 92b:47057 

Zaharopol, Radu On subinvariant elements in Banach lattices. 92a:47043 

— KB-spaces and subinvariant elements of positive operators. 92a:47044 


Items with secondary classifications in 47B65 

Akcoglu, M. A. (with Bradley, R. E.) Alternating sequences and induced operators. 
92m:47013 

Arendt, Wolfgang (with Batty, C.J. K.) Domination and ergodicity for positive semigroups. 
92f:47038 

Arlotti, Luisa A perturbation theorem for positive contraction semigroups on L'-spaces 
with applications to transport equations and Kolmogorov’s differential equations. 
92d:47055 

Bartoszek, Wojciech Asymptotic properties of the iterates of stochastic operators on (AL) 
Banach lattices. 92a:47007 

Batty, C. J. K. see Arendt, Wolfgang, 92f:47038 

Bernau, S. J. (with Huijsmans, C. B.) On the positivity of the unit element in a normed 
lattice ordered algebra. 92d:46054 

— (with Huijsmans, C. B.; de Pagter, Ben) Sums of lattice homomorphisms. 92h:46009 

Bertoglio, Néstor (with Martinez, Servet A.) Measure preserving Markov processes densely 
similar to endomorphisms. 92a:47008 

Bidard, C. (with Zerner, M.) The Perron-Frobenius theorem in relative spectral theory. 
92j:47063 

Bradley, R. E. On induced operators. 92m:47014 

— see also Akcoglu, M. A., 92m:47013 

Comez, Dogan (with Lin, Michael) Mean ergodicity of L; contractions and pointwise 
ergodic theorems. 92k:47016 

Dopazo, Esther (with Morant, José Luis) A characterization of the infinitesimal gener- 
ator of uniformly continuous positive semigroups. (Spanish. English summary) (see 
92b:00044) 

Forster, K.-H. (with Nagy, Béla) On the local spectral radius of a nonnegative element with 
respect to an irreducible operator. 92j:47016 

Huijsmans, C. B. see Bernau, S. J., 92d:46054 and 92h:46009 

Komornik, Jozef (with Thomas, Erik G. F.) Asymptotic periodicity of Markov operators on 
signed measures. (Slovak summary) 92h:28009 

Krasnosel'skii, A. M. (with Krasnosel’skii, M. A.; Kuznetsov, N. A.) Nonlinear systems 
with incomplete corrections and their stability. (Russian) 92j:47123 

Krasnosel’skii, M. A. see Krasnosel’skii, A. M.; et al., 92j:47123 

Kuznetsov, N. A. see Krasnosel'skii, A. M.; et al., 92j:47123 

Lin, Michael (with Sine, Robert) Contractive projections on the fixed point set of L.. 
contractions. 92h:47012 

— see also Cémez, Dogan, 92k:47016 

Lizama, Carlos On positive strongly continuous cosine functions. 92b:47061 

Makarov, B. M. Characterization of universally regular operators and operators with regular 
commutators. (Russian) 92¢:47039 

Martinez, Servet A. see Bertoglio, Néstor, 92a:47008 

Mazén, José M. (with Segura de Leon, Sergio) Order bounded orthogonally additive 
operators. 92b:47087 

Mokhtar-Kharroubi, Mustapha Compactness properties for positive semigroups on Banach 
lattices and applications. 92m:47076 

Morant, José Luis see Dopazo, Esther, (92b:00044) 

Murakami, Riichiré On positive orthomorphisms determined by two positive operators. 
92m:47070 

Nagy, Béla see Forster, K.-H., 92j:47016 

de Pagter, Ben see Bernau, S. J.; et al., 92h:46009 

Rebowski, Ryszard On the lattice structure of invariant functions for Markov operators on 
C(X). 92d:47013 

Sato, Ryotaro A note on the almost everywhere convergence of alternating sequences with 
Dunford-Schwartz operators. 92g:47009 

Saxe, Karen Interpolation and spectra of regular L’-space operators. 92¢:47055 





785 1992 


Segura de Leén, Sergio see Mazon, José M., 92b:47087 
Sine, Robert see Lin, Michael, 92h:47012 

Thomas, Erik G. F. see Komornik, Jozef, 92h:28009 
Zerner, M. see Bidard, C., 92j:47063 


47B80 Random operators [see also 60H25] 


Items with secondary classifications in 47B80 

Dossou-Ghete, Simplice (with Pousse, Alain) Asymptotic study of eigenelements of a 
sequence of random selfadjoint operators. 92h:62079 

Englisch, Harald (with Kirsch, Werner; Schréder, Manfred; Simon, Barry) Random 
Hamiltonians ergodic in all but one direction. 92a:47058 

Kirsch, Werner see Englisch, Harald; et al., 92a:47058 

Malozémov, L. A. On the absolutely continuous spectrum of the Schrédinger difference 
operator. (Russian) 92c:47044 

Pousse, Alain see Dossou-Ghete, Simplice, 92h:62079 

Schréder, Manfred see Englisch, Harald; et al., 92a:47058 

Simon, Barry see Englisch, Harald; et al., 92a:47058 

Ullah, Nazakat Distribution of eigenvalues of 3 x 3 band matrices. 92m:82069 


47B99 None of the above, but in this section 


Albeverio, Sergio (with Ma, Zhi Ming) Perturbation of Dirichlet forms—lower semibound- 
edness, closability, and form cores. 92i:47039 

Baskakov, A.G. Wiener’s theorem and asymptotic estimates for elements of inverse 
matrices. (Russian) 92g:47049 

Bertoglio, Néstor (with Martinez, Servet A.) Simple nests invariant by compact selfadjoint 
operators: a nonstandard approach. 92j:47069 

Emmanuele, Giovanni Dominated operators on C[0, 1] and the (CRP). 92m:47072 

Gubreev, G. M. Spectral analysis of biorthogonal expansions of functions in series of 
exponentials. (Russian) 92¢:47046 

Laursen, K. B. (with Vrbova, P.) Intertwiners and automatic continuity. 92f:47036 

Lorentz, Kai On the rational homogeneous manifold structure of the similarity orbits of 
Jordan elements in operator algebras. 92i:47040 

Luo, Yue Hu (with Shen, Shi Yi) Extensions and decompositions of general operator 
measures (GOMs). (Chinese) 

Ma, Zhi Ming see Albeverio, Sergio, 92i:47039 

Martinez, Servet A. see Bertoglio, Néstor, 92j:47069 

Mironov, B. G. On the theory of J-symmetric operators with a nondense domain. (Russian) 
92k:47072 

Popescu, Gelu von Neumann inequality for (B(#)"),. 92k:47073 

Ricker, Werner J. Kakutani’s example on product spectral measures. 92h:47049 

Riedel, Norbert Spectra and resolvents of certain polynomials in the irrational rotation 
algebra. 92a:47045 

Seddighi, Karim Certain invariant subspaces for operators with rich eigenvalues. 
92m:47073 

Sen, Dilip Kumar On Hermitian operators on Banach spaces (general survey). 92h:47050 

Shen, Shi Yi see Luo, Yue Hu; et al. 

Talagrand, Michel Cotype of operators from C(K). 92m:47074 

Tikhonov, O. E. Spectral theory for base-norm spaces with a trace. 92i:47041 

Vrbova, P. see Laursen, K. B., 92f:47036 

Wang, Jin Hsien (with Wu, Pei Yuan) Sums of square-zero operators. 92m:47075 

Wa, Pei Yuan see Wang, Jin Hsien, 92m:47075 

Xia, Daoxing Trace formulas for almost commuting operators, cyclic cohomology and 
subnormal operators. 92a:47046 

— A note on the trace formulas for almost commuting operators. 92k:47074 

Yakushev, V. L. Dissipativity properties of linear-fractional contraction mappings: a 
“geometric” approach. (Russian) 92g:47050 

Zhitomirskaya, S. Ya. Spectral properties of one-dimensional almost periodic operators. 
(Russian) 92h:47051 


Items with secondary classifications in 47B99 

Aizpuru Tomas, Antonio (with Benitez Trujillo, Francisco) Supremum and interpolation 
properties and sequentional subalgebras of a Boolean algebra. (Spanish) (see 92g:00024) 

— Equivalence between interpolation properties and supremum property in algebras with 
the ccc property. (Spanish) (see 92g:00024) 

— Boolean algebras whose Stone spaces have no nontrivial Cauchy sequences. (Spanish) (see 
92g:00024) 

Albeverio, Sergio (with Réckner, Michael) New developments in the theory and application 
of Dirichlet forms. 92h:47101 

Baillon, Jean-Bernard (with Clément, Philippe P.) Examples of unbounded imaginary 
powers of operators. 92j:47036 

Benitez Trujillo, Francisco see Aizpuru Tomas, Antonio, (92g:00024) 

Bruk, V. M. Invertible restrictions of closed operators in Banach spaces. (Russian) 
92h:47001 

Clément, Philippe P. see Baillon, Jean-Bernard, 92j:47036 

Cotlar, Mischa (with Sadosky, Cora) Toeplitz liftings of Hankel forms bounded by non- 
Toeplitz norms. 92g:47006 

Curbera, G. P. Operators into L' of a vector measure. 92d:28003 

Dazord, Jean Sur une norme de matrices. (English summary) [On a matrix norm] 
924:47012 

Dowson, H.R. Solution to a problem of Lior Tzafriri. 92j:47083 

Friedrich, Jirgen (with Klotz, Lutz) On different definitions of positive definiteness. 
92k:43006 

Gaspar, Dumitru (with Suciu, Nicolae) Analyticity of the semispectral measures on the 
bitorus and the Szegé operator. 92b:47021 

Ghoussoub, N. (with Maurey, B.; Schachermayer, Walter) Remarks about the interpolation 
of Radon-Nikodym operators. 92g:46017 


47C Individual linear operators as elements of algebraic systems 


47015 


Gil’, M. 1. (with Shargorodskaya, L. L.) An estimate for the norm of the resolvent of a 
quasi-Hermitian operator. (Russian) 92m:47008 

Gohberg, Israel (with Kaashoek, M. A.; Woerd , H. J.) A maximum entropy principle 
in the general framework of the band method. 92b:47020 

Guerre, Sylvie Some remarks on complex powers of (—A) and UMD spaces. 92f:47028 

Hadwin, Don (with Nordgren, Eric A.) Reflexivity and direct sums. 92g:47064 

Herrero, Domingo A. Limits of hypercyclic and supercyclic operators. 92g:47926 

Jiang, Chun Lan Strongly irreducible operators and Cowen-Douglas operators. 92¢:47024 

Johnson, Dudley Paul A central limit th for prod of depend dom linear and 
nonlinear operators. 92e:60012 

Kaashoek, M. A. see Gohberg, Israel; et al., 92b:47020 

Khatskevich, V. A. (with Shmul’yan, Yu. L.; Shulman, V.S.) Pre-orders and equivalences 
in the operator ball. (Russian) 92m:47086 

Khrennikov, A. Yu. Pseudotopological commutative superalgebras with nilpotent souls. 
(Russian) 924:58024 

Klotz, Lutz see Friedrich, Jiirgen, 92k:43006 

Kusraev, A. G. On the structure of vector measures and complete Boolean algebras. 
(Russian) 92k:28020 

L.E. Characterisations of partially continuous, strictly cosingular and g_ 

type operators. 92f:47002 

Laroco, Leonardo A., Jr. Stable rank and approximation theorems in H®. 92a:46059 

Li, Wing Suet On polynomially bounded operators. I. 92m:47010 

Lieb, Elliott H. (with Siedentop, Heinz) Convexity and concavity of eigenvalue sums. 
92j:15010 

Magyar, A. see Sebestyén, Zoltan, 92k:47014 

Marsalli, Michael A classification of operator algebras. 92¢:47076 

Mathieu, Martin The symmetric algebra of quotients of an ultraprime Banach algebra. 
92¢:46061 

Maurey, B. see Ghoussoub, N.; et al., 92g:46017 

Mercer, A. McD. On the asymptotic eigenvalue distribution of certain Hermitian matrices. 
92d:47004 

Moran, Maria Dolores On commuting isometries. 92¢:47009 

Nakazi, Takahiko Bounded Hankel forms with weighted norms and lifting theorems. 
92h:47031 

Nordgren, Eric A. see Hadwin, Don, 92g:47064 

Poreda, Tadeusz On generalized differential equations in Banach spaces. 92i:34079 

Potthoff, Jiirgen (with Réckner, Michael) On the contraction property of energy forms on 
infinite-dimensional space. 92a:46051 

Powers, Robert T. On the structure of continuous spatial 
8(5). 92k:46114 

Prunaru, Bebe von Neumann operators are reflexive. 92h:47008 

Pustyl/nikov, L. D. On the relationship between Riemann’s problem on zeros of the function 
¢(s) and the spectrum of an operator in Hilbert space. (Russian) 92m:11088 

Réckner, Michael see Potthoff, Jirgen, 92a:46051 and Albeverio, Sergio, 92h:47101 

Rogca, Ioan On the BabuSka Lax-Milgram theorem. 92h:47004 

Rovnyak, James A vector extension of Loewner’s differential equation. 92h:30016 

Saab, Elias (with Saab, Paulette) On unconditionally converging and weakly precompact 
operators. 924:46092 

Saab, Paulette see Saab, Elias, 92d:46092 

Sadosky, Cora see Cotlar, Mischa, 92g:47006 

Schachermayer, Walter see Ghoussoub, N.; et al., 92g:46017 

Schréder, Johann Operator inequalities and applications. 92i:26022 

Sebestyén, Zoltan (with Magyar, A.) Restrictions of partial isometries. 92k:47014 

Shargorodskaya, L. L. see Gil’, M. I., 92m:47008 

Shmul’yan, Yu. L. see Khatskevich, V. A.; et al., 92m:47086 

Shul'man, V.S. see Khatskevich, V. A.; et al., 92m:47086 

Siedentop, Heinz see Lieb, Elliott H., 92j:15010 

Skof, Fulvia On 6-isometries in normed spaces. (Italian. English summary) 92j:46020 

Steinig, Bernhard On the essential maximality of linear operators in a Hilbert space. 
92j:47011 

Suciu, Nicolae see Gaspar, Dumitru, 92b:47021 

Szafraniec, Franciszek Hugon Kato-Protter type inequalities, bounded vectors and the 
exponential function. 92¢:47067 

Triméche, K. Transmutation operators and mean-periodic functions associated with 
differential operators. 92¢:43004 

Wilkins, David R. Operators, Fuchsian groups, and automorphic bundles. 92h:47022 

Woerdeman, H. J. see Gohberg, Israel; et al., 92b:47020 

Yoshino, Takashi On the unitary part of dominant contractions. 92m:47038 








A 





igroups of orphisms of 





47Cxx Individual linear operators as elements of 
algebraic systems 


47C05 Operators in algebras 
Pincus, J.D. The principal index. 92f:47037 


Items with secondary classifications in 47C05 


Larson, David R. Some recent progress in nest algebras. 92g:47059 

— (with Pitts, David R.) Some questions concerning nest algebras. 92g:47060 
Mathes, D. Benjamin Invariant diagonal operator ranges. 92¢:47006 

Pitts, David R. see Larson, David R., 92g:47060 


47C15 Operators in C*- or von Neumann algebras 


Items with secondary classifications in 47C15 


Haagerup, Uffe On convex combinations of unitary operators in C*-algebras. 92h:46087 
Tanbay, Betiil Pure state extensions and compressibility of the /\-algebra. 92b:46096 





47099 


47C99 None of the above, but in this section 


Items with secondary classifications in 47C99 
Rakotevi¢, Viadimir Spectral radius formulae in quotient C*-algebras. 92c:46061 


47Dxx Algebraic systems of linear operators 
[see also 46Lxx] 


Items with secondary classifications in 47Dxx 

Kadison, Richard V. (with Ringrose, John R.) * Fundamentals of the theory of operator 
algebras. Vol. III. 92m:46084 

Ringrose, John R. see Kadison, Richard V., 92m:46084 


47D03 (Semi)groups of linear operators {For nonlinear operators, 
see 47H20; see also 20M20.} 


Andreu, F. (with Maz6n, José M.) Relation between the boundary point spectrum of a 
generator and of its adjoint. 92¢:47047 

— (with Martinez, Josep; Mazon, José M.) A spectral mapping theorem for perturbed 
strongly continuous semigroups. 92i:47042 

Arendt, Wolfgang (with Batty, C.J.K.) Domination and ergodicity for positive semigroups. 
92£:47038 

Arlotti, Laisa A perturbation theorem for positive contraction semigroups on L!-spaces 
with applications to transport equations and Kolmogorov’s differential equations. 
924:47055 

Batty, C.J. K. see Arendt, Wolfgang, 92f:47038 

Boyadzhiev, Khristo N. (with deLaubenfels, Ralph J.) H@™ functional calculus for 
perturbations of generators of holomorphic semigroups. 92h:47052 

Carasso, Alfred S. (with Kato, Tosio) On subordinated holomorphic semigroups. 
92:47047 

Diekmann, Odo (with Gyllenberg, Mats; Thieme, Horst R.) Semigroups and renewal 
equations on dual Banach spaces with applications to population dynamics. 92h:47053 

Gyllenberg, Mats see Diekmann, Odo; et al., 92h:47053 

Henriquez, Hernan R. (with Hernandez, Eduardo A.) On the abstract Cauchy problem in 
Fréchet spaces. 92i:47043 

Hernandez, Eduardo A. see Henriquez, Hernan R., 92i:47043 

Hieber, Matthias Laplace transforms and a-times integrated semigroups. 92k:47075 

— Integrated semigroups and the Cauchy problem for systems in L? spaces. 92j:47070 

— (with Rabiger, Frank) A remark on the abstract Cauchy problem on spaces of Hélder 
continuous functions. 92i:47044 

Holderrieth, A. Matrix multiplication operators generating one parameter semigroups. 
92b:47058 

Kato, Tosio see Carasso, Alfred S., 92a:47047 

Kluvanek, Igor Sampling theorem for groups of operators. (see 92b:00045) 

Krishna Kumar, V. Semi-group theory for linear operators on Banach spaces. (see 
92£:00027) 

Krishnan, E. (with Valanthara, Sherly) Semigroup of finite rank operators. 92k:47076 

Lapidus, Michel L. The Feynman-Kac formula with a Lebesgue-Stieltjes measure: an 
integral equation in the general case. 92¢:47064 

deLaubenfels, Ralph J. Bounded, commuting multiplicative perturbations of strongly 
continuous group generators. 92f:47039 

— see also Boyadzhiev, Khristo N., 92h:47052 

Li, Sheng Jia (with Xu, Li Ping) A generalization of the spectral mapping theorem for Co- 
semigroups. (Chinese) 92h:47054 

Liu, Gui Zhong Generation of locally equi-bounded semigroups in inductive limit of 
Banach spaces. 92j:47071 

Lopushanskii, O. V. Continuous semigroups in locally convex algebras. (Russian. Ukrainian 
summary) 92e:47065 

Martinez, Josep see Andreu, F.; et al., 92i:47042 

Mazén, José M. see Andreu, F., 92¢:47047 and 92i:47042 

Mokhtar-Kharroubi, Mustapha Compactness properties for positive semigroups on Banach 
lattices and applications. 92m:47076 

Nambooripad, K.S.S. Semigroup of Fredholm operators. 92b:47059 

van Neerven, J. M. A.M. A converse of Lotz’s theorem on uniformly continuous semi- 
groups. 92m:47077 

Neidhardt, Hagen (with Zagrebnov, V. A.) On the Trotter product formula for Gibbs 
semigroups. (German summary) 92f:47040b 

— (with Zagrebnov, V. A.) The Trotter-Kato product formula for Gibbs semigroups. 
92:47040a 

Neretin, Yu. A. On a semigroup of operators in the boson Fock space. (Russian) 92¢:47066 

Nikolov, Krasimir I. On the analytic semi-groups in locally convex spaces. (see 92d:30002) 

Pandolfi, Luciano A Lyapunov theorem for semigroups of operators. 92b:47060 

Park, Jong Yeoul Exponentially bounded C-. igroup in Fréchet space. 92d:47056 

Ptak, Marek Continuous isometric semigroups and reflexivity. 92j:47072 

Rabiger, Frank see Hieber, Matthias, 92i:47044 

Sharma, Sharda On groups of subnormal operators. 92k:47077 

Sun, Shan Li A spectral analysis of the isometric representation of a locally compact abelian 
group. (Chinese) 92j:47073 

Szafraniec, Franciszek Hugon Kato-Protter type inequalities, bounded vectors and the 
exponential function. 92¢:47067 

Thieme, Horst R. see Dieckmann, Odo; et al., 92h:47053 

Valanthara, Sherly see Krishnan, E., 92k:47076 

Verduyn Lunel, S. M. The closure of the generalised eigenspace of a class of infinitesimal 
generators. 92¢:47048 

Vespri, Vincenzo Analytic semigroups generated by ultraweak operators. 92j:47074 

Wang, Yong’ Some notes about the two-parameter semigroups. 


Werner, Reinhard F. Dilations of symmetric operators shifted by a unitary group. 
92¢:47068 





OPERATOR THEORY 


1992 786 


Wa, Jing Bo Normal extensions of semigroups of operators to Krein spaces. 92k:47078 

Xu, Li Ping see Li, Sheng Jia; et al., 92h:47054 

Yaskolko, S. V. Semigroups of measurable families of bounded operators. (Russian) 
92a:47048 

Zagrebnov, V. A. see Neidhardt, Hagen, 92f:47040a and 92f:47040b 

Zhou, Zheng-Fang The contractivity of the free Hamiltonian semigroup in the L, space of 
entire functions. 92h:47055 


Items with secondary classifications in 47D03 


Arazy, Jonathan (with Barton, Thomas Joseph; Friedman, Yaakov) Addendum: “Operator 
differentiable functions” [Integral Equations Operator Theory 13 (1990), no. 4, 462-487; 
MR 91d:47012}. 92g:47021 

Arveson, William The spectral C*-algebra of an Eo-semigroup. 92c:46074 

Asmar, Nakhlé H. (with Berkson, Earl; Gillespie, T. A.) Transference of strong type 
maximal inequalities by separation-preserving representations. 92b:43006 

— (with Berkson, Earl; Gillespie, T. A.) Distributional control and generalized analyticity. 
92b:43014 

Barton, Thomas Joseph see Arazy, Jonathan; et al., 92g:47021 

Belleni-Morante, Aldo The free streaming operator in asymmetric Sobolev spaces. 
92j:47138 

Berkson, Earl see Asmar, Nakhlé H.; et al., 92b:43006 and 92b:43014 

Binderman, Zbigniew Complex R-shifts for right invertible operators. 92j:47001 

Bontsema, Jan (with Curtain, Ruth F.) Perturbation properties of a class of infinite- 
dimensional systems with unbounded control and observation. 92d:93074 

Born, Eike Hemigroups of probability measures on a locally compact group. 92a:60024 

Boutet de Monvel-Berthier, Anne-Marie (with Georgescu, Vladimir) Locally conjugate 
operators, boundary values of the resolvent and wave operators. (French summary) 
92c:47013 

Bradshaw, W.S. On the nonuniqueness of the dilations of quantum dynamical semigroups 
obtained using quantum stochastic calculus. 92m:47158 

Chen, Xiao Man Unitary dilations of semigroups of contractions on I], spaces. (Chinese) 
92b:47053 

Chyan, Chuan J. (with Webb, G. F.) A model of proliferating cell populations with 
correlation of mother-daughter mitotic times. 92m:92011 

Curtain, Ruth F. see Bontsema, Jan, 92d:93074 

Da Prato, Giuseppe (with Zabczyk, Jerzy) Smoothing properties of transition semigroups in 
Hilbert spaces. 92k:60177 

Das, Purna C. see Kumar, Rajiv, 92j:47100 

Delladio, Silvano Some remarks on time-dependent evolution systems in the hyperbolic 
case. 92:35076 

Diekmann, Odo (with van Gils, Stephan A.) The center manifold for delay equations in the 
light of suns and stars. 92m:47151 

Friedman, Yaakov see Arazy, Jonathan; et al., 92g:47021 

Friedrich, Jirgen (with Klotz, Lutz) On different definitions of positive definiteness. 
92k:43006 

Georgescu, Vladimir see Boutet de Monvel-Berthier, Anne-Marie, 92c:47013 

Gershtein, L. M. (with Sil/chenko, Yu. T.; Sobolevskii, P. E.) Semigroup approaches to the 
investigation of problems in thermoelasticity. (Russian) 92a:35077 

Gillespie, T. A. see Asmar, Nakhlé H.; et al., 92b:43006 and 92b:43014 

van Gils, Stephan A. see Diekmann, Odo, 92m:47151 

Grigorieff, Rolf Dieter Time discretization of semigroups by the variable two-step BDF 
method. (see 92e:65003) 

Gubreev, G. M. Spectral analysis of biorthogonal expansions of functions in series of 
exponentials. (Russian) 92¢:47046 

Gutiérrez, Cristian E. (with Urbina, Wilfredo O.) Estimates for the maximal operator of the 
Ornstein-Uhlenbeck semigroup. 92a:42023 

Gzyl, Henryk * Hamiltonian flows and evolution semigroups. 92a:58054 

Hansen, Scott W. (with Weiss, George) The operator Carleson measure criterion for 
admissibility of control operators for diagonal semigroups on /?. 92a:93062 

Hsiao, Shéng Yen Solvability of linear functional equations in Lebesgue spaces. 92a:47013 

— Uniform convergence of ergodic limits and approximate solutions. 92¢:47012 

Hyb, Wojciech On the spectral properties of translation operators in one-dimensional tubes. 
92k:47060 

Jorgensen, Palle E.T. Unbounded operators associated to unitary representations of 
nilpotent Lie groups. 92d:22007 

Kadets, M.1I. (with Lyubich, Yu. I.) On the relations between different forms of almost 
periodicity of representations of groups. (Russian) 92c:43006 

Kalyuzhnyi, A. A. Duality of generators of one-dimensional compact and discrete hyper- 
complex systems. (Russian) 92g:43005 

Kirichuk, P. A. Perturbation of an operator-valued function of Mittag-Leffler type. 
(Russian. English summary) 92a:47017 

Klotz, Lutz see Friedrich, Jiirgen, 92k:43006 

Krein, S.G. (with Pesenson, I. Z.) * IIpoctpancTsa rmagqKuXx 31e¢MeHTOB, OPO TeHHbIX 
npezcTapienHeM rpynnbi Jiu. (Russian) [Spaces of smooth elements generated by the 
representation of a Lie group] 92g:22023 

Kumar, Rajiv (with Das, PurnaC.) Perturbation of m-accretive operators in Banach spaces. 
92j:47100 

Latushkin, Yu. D. (with Stépin, A.M.) Weighted shift operators and linear extensions of 
dynamical systems. (Russian) 92k:47062 

Lee, Felix A mean ergodic theorem for multiparameter superadditive processes on Banach 
lattices. 92e:47013 

Li, Cun Hua A class of semigroups generated by differential operators and solutions to 
initial value problems for evolution equations. (Chinese. English summary) 92k:47080 

Lyubich, Yu. I. see Kadets, M. 1., 92c:43006 

Magyar, Zoltan * Continuous linear representations. 92k:22021 

Martinez, Josep (with Maz6n, José M.) Quasi-compactness of dominated positive 
operators and Co-semigroups. 92g:47048 

Mazon, José M. see Martinez, Josep, 92g:47048 

Mukherjea, Arunava Multiplicative semigroups of infinite-dimensional matrices. 
92b:20092 





787 1992 


Nagel, Rainer Order in pure and applied functional analysis. 92m:47071 

van Neerven, J. M. A.M. Reflexivity, the dual Radon-Nikodym property, and continuity of 
adjoint semigroups. 92k:46019 

Oppenheimer, Seth F. An abstract spectral approximation theorem from the theory of 
semigroups. 92m:47140 

Orochko, Yu. B. Spectral representation of a hyperbolic evolution process that is connected 
with the Sturm-Liouville differential expression. (Russian) 92d:47058 

Paulsen, Vern I. Rigidity theorems in spaces of analytic functions. 92d:46136 

Pesenson, I. Z. The Bernstein inequality in representations of Lie groups. (Russian) 
92j:43010 

— see also Krein, S. G., 92g:22023 

Pitts, David R. A note on the connectedness problem for nest algebras. 92c:47054 

Popescu, Emil Sur les sémi-groupes de Feller et les opérateurs pseudo-différentiels. [On 
Feller semigroups and pseudodifferential operators] 92m:47097 

Powers, Robert T. On the structure of continuous spatial igroups of d 
B(H). 92k:46114 

Price, Geoffrey The C*-algebras generated by pairs of semigroups of isometries satisfying 
certain commutation relations. 92i:46078 

Qian, Neng Sheng On multiparameter Chacon-Ornstein theorem. 92¢:47015 

Ruess, W. M. (with Summers, W. H.) Ergodic th for igroups of operators. 
92¢:47016 

Sato, Ryotaro A note on the almost everywhere convergence of alternating sequences with 
Dunford-Schwartz operators. 92g:47009 

Silchenko, Yu. T. see Gershtein, L. M.; et al., 92a:35077 

Sobolevskii, P. E. see Gershtein, L. M.; et al., 92a:35077 

Stépin, A.M. see Latushkin, Yu. D., 92k:47062 

Summers, W. H. see Ruess, W. M., 92¢:47016 

Urbina, Wilfredo O. see Gutiérrez, Cristian E., 92a:42023 

Venturini, Sergio Semigroups and holomorphic maps. 92k:32045 

Vincent-Smith, G. F. Unitary quantum stochastic evolutions. 92k:46118 

Webb, G. F. see Chyan, Chuan J., 92m:92011 

Weiss, George see Hansen, Scott W., 92a:93062 

Yoshimoto, Takeshi Local mean ergodic theorems in Banach spaces. 92f:47007 

Zabczyk, Jerzy see Da Prato, Giuseppe, 92k:60177 

Zegarlitiski, Bogustaw On log-Sobolev inequalities for infinite lattice systems. 92g:46037 





orphisms of 





47D06 One-parameter semigroups and linear evolution equations 


Ahmed, N. U. * Semigroup theory with applications to systems and control. 92¢:47069 

Cannarsa, Piermarco (with Da Prato, Giuseppe) A semigroup approach to Kolmogoroff 
equations in Hilbert spaces. 92g:47051 

Coulhon, Thierry (with Saloff-Coste, Laurent) Semi-groupes d’opérateurs et espaces 
fonctionnels sur les groupes de Lie. (English summary) [Operator semigroups and 


function spaces on Lie groups] 92¢:47049 

Da Prato, Giuseppe see Cannarsa, Piermarco, 92g:47051 

Dopazo, Esther (with Morant, José Luis) A characterization of the infinitesimal gener- 
ator of uniformly continuous positive semigroups. (Spanish. English summary) (see 
92b:00044 

Engel, Klaus-J. Growth estimates for semigroups generated by 2 x 2 operator matrices. 
92e:47070 

Favini, Angelo (with Obrecht, Enrico) Conditions for parabolicity of second order abstract 
differential equations. 92m:47078 

Greiner, Giinther (with Schwarz, Manfred) Weak spectral mapping theorems for 
functional-differential equations. 92k:47079 

Ha, Ki Sik (with Kim, Jai Heui; Kim, Jong Kyu) Linear abstract Cauchy problem 
associated with an exponentially bounded C-semigroup in a Banach space. 92c¢:47050 

Hieber, Matthias Integrated semigroups and differential operators on L? spaces. 92g:47052 

Kim, Jai Heui see Ha, Ki Sik; et al., 92c:47050 

Kim, Jong Kyu see Ha, Ki Sik; et al., 92c:47050 

Li, Cun Hua A class of semigroups generated by differential operators and solutions to 
initial value problems for evolution equations. (Chinese. English summary) 92k:47080 

Morant, José Luis see Dopazo, Esther, (92b:00044) 

Obrecht, Enrico see Favini, Angelo, 92m:47078 

Picard, Rainer H. Asymptotic partition of energy for abstract uniformly propagative 
systems. 92a:47049 

Piskarév, S.1. Approximation of positive Co-semigroups of operators. (Russian) 
92m:47079 

Saloff-Coste, Laurent see Coulhon, Thierry, 92c:47049 

Schwarz, Manfred see Greiner, Ginther, 92k:47079 

Umezu, Kenichiro On the Cauchy problem for analytic semigroups with weak singularity. 
92m:47080 

Xu, Gen Qi A perturbation theorem for the essential spectral radius of strongly continuous 
semigroups. (Chinese) 924:47057 

Yagi, Atsushi Generation theorem of semigroup for multivalued linear operators. 
925:47075 

Zheng, Quan? Solvability and well-posedness of higher-order abstract Cauchy problems. 
92k:47081 


Items with secondary classifications in 47D06 

Acquistapace, P. (with Flandoli, Franco; Terreni, B.) Initial-boundary value problems and 
optimal control for nonautonomous parabolic systems. 92b:49038 

Ali Mehmeti, Felix Existence and regularity of solutions of Cauchy problems for inhomoge- 
neous wave equations with interaction. 92m:35176 

Arendt, Wolfgang (with Priiss, Jan) Vector-valued Tauberian theorems and asymptotic 
behavior of linear Volterra equations. 92m:47150 

Barr, Thomas H. Approximation for age-structured population models using projection 
methods. 92f:92026 

Choulli, M. Abstract inverse problem and application. 92k:34015 

Chu, Yi Linear transport equation with indefinite collision operator. 92m:82126 


47D Algebraic systems of linear operators 


47D06 


Clément, Philippe P. * On (L?-L*) coerciveness for a class of integrodifferential equation 
on the line. 92d:45009 

— see also Semigroup theory and evolution equations, 92m:47001 

Cooke, Charlie H. (with McMorran, Andrew G.) Asymptotic factorization of evolution 
equations which involve linear operators. 92b:65077 

Desch, Wolfgang (with Schappacher, W.; Zhang, Kang Pei) Semilinear evolution equations. 
92d:47087 

Dore, Giovanni (with Venni, Alberto) Maximal regularity for parabolic initial-boundary 
value problems in Sobolev spaces. 92i:47092 

Engler, Hans Regularity properties of solutions of linear integrodifferential equations with 
singular kernels. 924:47094 

Epperson, James F. Semigroup linearization for nonlinear parabolic equations. 92a:65264 

Fitzgibbon, William E. (with Parrott, Mary E.) Linearized stability of semilinear delay 
equations in fractional power spaces. 92¢:34091 

Flandoli, Franco see Acquistapace, P.; et al., 92b:49038 

Fuhrman, M. Bounded solutions for abstract time-periodic parabolic equations with 
nonconstant domains. 92f:34054 

Grigorieff, Rolf Dieter Time discretization of semigroups by the variable two-step BDF 
method. (see 92e:65003) 

(Grobbelaar-van Dalsen, Marié) see Erratum: “On B-evolution theory and dynamic boundary 
conditions on a portion of the boundary” 

Hale, Jack K. (with Verduyn Lunel, S. M.) Averaging in infinite dimensions. 924:34128 

Henriquez, Hernan R. Asymptotically almost-periodic solutions of abstract differential 
equations. 92h:34113 

— (with Hernandez, Eduardo A.) On the abstract Cauchy problem in Fréchet spaces. 
92i:47043 

Hernandez, Eduardo A. see Henriquez, Hernan R., 92i:47043 

Hess, Peter * Periodic-parabolic boundary value problems and positivity. 92h:35001 

Hieber, Matthias (with Rabiger, Frank) A remark on the abstract Cauchy problem on 
spaces of Hélder continuous functions. 92i:47044 

Holderrieth, A. Matrix multiplication operators generating one p t 
92b:47058 

Huang, Fa Lun A note on linear parabolic equations in Hilbert spaces. 92m:35117 

Ilolov, M. see Samoilenko, A. M., 92b:34071 and 92m:34034 

Izé, A. F. Lyapunov numbers for a countable system of ordinary differential equations. 
92m:34134 

Jeong, Jin-Mun Stabilizability of retarded functional-differential equation in Hilbert space. 
92k:34107 

Kachalov, V. I. Smoothness of solutions of differential equations that contain a parameter. 
(Russian) 92d:34122 

Krishna Kumar, V. Semi-group theory for linear operators on Banach spaces. (see 
92£:00027) 

Lasiecka, Irena (with Triggiani, Roberto) Numerical approximations of algebraic Riccati 
equations for abstract systems modelled by analytic semigroups, and applications. 
92d:47095 

deLaubenfels, Ralph J. Existence and uniqueness families for the abstract Cauchy problem. 
92k:34075 

Liang, Jin (with Xiao, Ti Jun) Functional-differential equations with infinite delay in 
Banach spaces. 92¢:34108 

Lumer, Gunter Problémes dissipatifs et “analytiques” mal posés: solutions et théorie 
asymptotique. (English summary) [Dissipative and “analytic” ill-posed problems: 
solutions and asymptotic theory] 92c:34067 

Maslowski, Bohdan (with Seidler, Jan; Vrkot, Ivo) An averaging principle for stochastic 
evolution equations. II. (Czech summary) 92j:60076 

McMorran, Andrew G. see Cooke, Charlie H., 92b:65077 

(Mitidieri, Enzo) see Semigroup theory and evolution equations, 92m:47001 

Mokhtar-Kharroubi, Mustapha Compactness properties for positive semigroups on Banach 
lattices and applications. 92m:47076 

— Time asymptotic behaviour and compactness in transport theory. 92k:82063 

Okazawa, Noboru Sectorialness of second order elliptic operators in divergence form. 
92b:35048 

(de Pagter, Ben) see Semigroup theory and evolution equations, 92m:47001 

Pandolfi, Luciano (with Zwart, Hans) Stability of perturbed linear distributed parameter 
systems. 92j:93083 

Parrott, Mary E. see Fitzgibbon, William E., 92c:34091 

Priiss, Jan Maximal regularity of linear vector-valued parabolic Volterra equations. 
92b:47115 

— see also Arendt, Wolfgang, 92m:47150 

Rabiger, Frank see Hieber, Matthias, 92i:47044 

Samoilenko, A. M. (with Ilolov, M.) On the theory of evolution equations with impulse 
action. (Russian) 92b:34071 

— (with llolov, M.) On the theory of time-inhomogeneous evolution equations with impulse 
actions. (Russian) 92m:34034 

Schappacher, W. see Desch, Wolfgang; et al., 92d:47087 

Seidler, Jan see Maslowski, Bohdan; et al., 92j:60076 

Sobolevskii, E. P. (with Sobolevskii, P. E.) The commutant method and the coercivity of 
the Cauchy problem. (Russian) 92f:34055 

Sobolevskii, P. E. see Sobolevskii, E. P., 92f:34055 

Tanaka, Naoki Linear evolution equations in Banach spaces. 92m:34136 

Terreni, B. see Acquistapace, P.; et al., 92b:49038 

Thieme, Horst R. Semiflows generated by Lipschitz perturbations of non-densely defined 
operators. 92e:47121 

Triggiani, Roberto see Lasiecka, Irena, 924:47095 

Umarov, Kh. G. The Cauchy problem in a Banach space for an analogue of a diffusion 
equation that is not solved with respect to the time derivative. (Russian) 92e:35077 

Venni, Alberto see Dore, Giovanni, 92i:47092 

Verduyn Lunel, S. M. see Hale, Jack K., 924:34128 

Vespri, Vincenzo Abstract quasilinear parabolic equations with variable domains. 
92h:34124 

Voicu, Mihai Resolvent positive operators. 92b:47057 





oer 





47D06 


Vrkot, Ivo see Maslowski, Bohdan; et al., 92j:60076 
Winiarska, Teresa Parabolic equations with coefficients depending on ¢ and parameters. 
92a:34065 


Wau, Jian Hong Semigroup and integral form of a class of partial differential equations with 
infinite delay. 92k:35282 

Xiao, Ti Jun see Liang, Jin, 92¢:34108 

Zhang, Kang Pei see Desch, Wolfgang; et al., 924:47087 

Zheng, Quan? Uniqueness, existence and wellposedness of solutions of first order abstract 
Cauchy problem. 92h:34120 

Zwart, Hans see Pandolfi, Luciano, 92j:93083 


Items listed otherwise than by author 
Conference: 
Semigroup Theory and Evolution Equations * Semigroup theory and evolution equations. 
92m:47001 
Delft * Semigroup theory and evolution equations. 92m:47001 
Erratum: 
“On B-evolution theory and dynamic boundary conditions on a portion of the boundary” 
Erratum: “On B-evolution theory and dynamic boundary conditions on a portion 
of the boundary” [Appl. Anal. 40 (1991), no. 2-3, 151-172; MR 91k:35248] by M. 
Grobbelaar-van Dalsen. 
Semigroup theory and evolution equations * Semigroup theory and evolution equations. 
92m:47001 


47D07 Markov semigroups {For Markov processes, see 60Jxx.} 


Bertoglio, Néstor (with Dartnell, P.; Martinez, Servet A.; San Martin, Jaime) A regularisa- 
tion result of the continuous PMC Markov semigroups. 92k:47082 

Dartnell, P. see Bertoglio, Néstor; et al., 92k:47082 

Dopazo, Esther Asymptotic behaviour of stochastic semigroups. 

Fu, Li see Wang, Yong’; et al. 

Loskot, Krzysztof (with Rudnicki, Ryszard) Relative entropy and stability of stochastic 
semigroups. 92h:47056 

Martinez, Servet A. see Bertoglio, Néstor; et al., 92k:47082 

Rodnicki, Ryszard see Loskot, Krzysztof, 92h:47056 

San Martin, Jaime see Bertoglio, Néstor; et al., 92k:47082 

Wang, Yong’ (with Fu, Li) Two-parameter semigroups and nonhomogeneous Markov 
processes. (Chinese. English summary) 


Items with secondary classifications in 47D07 

Adamski, Wolfgang Invariant measures for Markov operators on vector lattices of real- 
valued functions. 92h:28018 

— An existence theorem for probability measures invariant under a Markov kernel. 
92h:28019 

Albeverio, Sergio (with Réckner, Michael) New developments in the theory and application 
of Dirichlet forms. 92h:47101 

— (with Ma, Zhi Ming) Perturbation of Dirichlet forms—lower semiboundedness, 
closability, and form cores. 92i:47039 

Barchielli, Alberto Some Markov semigroups in quantum probability. 92d:81016 

Bartoszek, Wojciech Asymptotic properties of the iterates of stochastic operators on (AL) 
Banach lattices. 92a:47007 

Herbst, Ira W. (with Zhao, Zhong Xin) Sobolev spaces, Kac-regularity, and the Feynman- 
Kac formula. 92i:46037 

Kolesnik, A. D. (with Turbin, A. F.) An infinitesimal hyperbolic operator of Markov 
random evolutions in R". (Russian. English summary) 924:60076 

Komorowski, Tomasz (with Tyrcha, Joanna) Asymptotic properties of some Markov 
operators. (Russian summary) 92f:47029 

Loskot, Krzysztof (with Rudnicki, Ryszard) Sweeping of some integral operators. (Russian 
summary) 92f:47030 

Lyatambur, K. N. An isomorphism of multiplicative and additive stochastic semigroups of 
almost linear operators without the continuity condition. (Russian. Ukrainian summary) 
92c:60090 


Ma, Zhi Ming see Albeverio, Sergio, 92i:47039 

Maagli, H. Perturbation des résolvantes et des semi-groupes par une mesure signée. 
[Perturbation of resolvents and semigroups by a sign measure] 92k:47028 

Rockner, Michael see Albeverio, Sergio, 92h:47101 

Rudnicki, Ryszard see Loskot, Krzysztof, 92f:47030 

Sauvageot, Jean-Luc Le probléme de Dirichlet dans les C*-algebres. (English summary) 
[The Dirichlet problem in C*-algebras] 92j:46113 

Turbin, A. F. see Kolesnik, A. D., 924:60076 

Tyrcha, Joanna see Komorowski, Tomasz, 92f:47029 

Zhao, Zhong Xin see Herbst, Ira W., 92i:46037 


47D09 Operator cosine functions and higher-order Cauchy 
problems 


Kirichuk, P. A. On a regular operator-valued function of Mittag-Leffler type. (Russian. 
English summary) 92j:47076 

— An operator-valued function of Mittag-Leffler type and a probabilistic formula for solving 
the abstract Cauchy problem. (Russian) 92j:47077 

Liang, Jin see Xiao, Ti Jun, 92b:47062 

Lizama, Carlos On positive strongly continuous cosine functions. 92b:47061 

Murtazaev, E. E. Generalized cosine-operator functions. (Russian) 92¢:47071 

Niechwiej, Jan Cosine functions of unbounded operators and second order differential 
equations. (Serbo-Croatian summary) 92¢:47051 

— (with Szafraniec, Franciszek Hugon) Cosine representations of Bochner type. 92g:47053 

Orochko, Yu. B. Spectral representation of a hyperbolic evolution process that is connected 
with the Sturm-Liouville differential expression. (Russian) 924:47058 

Szafraniec, Franciszek Hugon see Niechwiej, Jan, 92g:47053 


OPERATOR THEORY 


1992 788 


Vasil’ev, V. V. The Cauchy problem for a second-order equation with a nondensely defined 
operator. (Russian) 92¢:47072 

Xiao, Ti Jun (with Liang, Jin) A note on the propagators of second order linear differential 
equations in Hilbert spaces. 92b:47062 


Items with secondary classifications in 47D09 


Arosio, A. (with Garavaldi, S.) On the mildly degenerate Kirchhoff string. 92c:35072 

Bochenek, Jan An abstract nonlinear second order differential equation. 92g:34083 

Favini, Angelo Parabolicity of second order differential equations in Hilbert space. 
92b:34068 

Garavaldi, S. see Arosio, A., 92¢:35072 

Henriquez, Hernan R. (with Hernandez, Eduardo A.) On the abstract Cauchy problem in 
Fréchet spaces. 92i:47043 

Hernandez, Eduardo A. see Henriquez, Hernan R., 92i:47043 

Huang, Fa Lun Some problems for linear elastic systems with damping. 92h:34114 

Kirichuk, P. A. A probabilistic formula for solving an abstract Cauchy problem for a third- 
order equation. (Russian) 92g:34080 

Lasiecka, Irena (with Triggiani, Roberto) Regularity theory for a class of nonhomogeneous 
Euler-Bernoulli equations: a cosine operator approach. 92h:35059 

Pachpatte, B. G. On abstract second order differential equations. 92c:34069 

Satyanarayan Rao, Aribindi On the Stepanov almost periodic solution of a second-order 
infinitesimal generator differential equation. 92k:34076 

Triggiani, Roberto see Lasiecka, Irena, 92h:35059 

Varlamov, V. V. On a hyperbolic equation of high order in a Banach space. 92j:34118 

Zheng, Quan? Solvability and well-posedness of higher-order abstract Cauchy problems. 
92k:47081 


47D15 Linear spaces of operators [see also 46A32, 46B28] 


Danet, Rodica-Mihaela Sufficient conditions in order that a space of linear operators on an 
ordered vector space has an infinite dimension. II. 92a:47050 

Emmanuele, Giovanni A remark on the containment of co in spaces of compact operators. 
92j:47078 

Han, De Guang On isomorphisms and hyper-reflexivity of closed subspace lattices. 
92g:47054 

Katavolos, Aristides (with Papanastassiou, Nikos) Order convergence in operator algebras. 
92m:47081 

Merdas, Bogustaw Remarks on Schatten-von Neumann classes C,. 92f:47041 

Oja, Eve Criteria for M-ideals of compact operators. (Russian) 92f:47042 

— On M-ideals of compact operators and Lorentz sequence spaces. (Russian and Estonian 
summaries) 92k:47083 

— (with Werner, Dirk) Remarks on M-ideals of compact operators on X @, X. 92g:47055 

Papanastassiou, Nikos see Katavolos, Aristides, 92m:47081 

Pisier, Gilles A remark on I)(J/p, lp). 92j:47079 

Tao, Chang Li A sufficient condition for property Dr) of operator subspaces. (Chinese. 
English summary) 92g:47056 

Werner, Dirk see Oja, Eve, 92g:47055 


Items with secondary classifications in 47D15 

Acosta Vigil, Maria Dolores Denseness of numerical radius attaining operators: renorming 
and embedding results. 92j:47017 

Aron, Richard M. (with Rajappa, Asthagiri K.) Weak continuity of mappings between 
spaces of compact operators. 92d:47034 

Behrends, Ehrhard C)K-valued local operators. 92¢:47032 

Bouldin, Richard Distance to invertible linear operators without separability. 92m:47032 

Byun, Chang Ho see Shin, Dong Yun; et al., 92d:46147 

Effros, Edward G. (with Ruan, Zhong-jin) On approximation properties for operator 
spaces. 92g:46089 

Emmantele, Giovanni Dominated operators on C[0, 1] and the (CRP). 92m:47072 

— On the containment of co by spaces of compact operators. (French summary) 92j:46023 

— Remarks on the uncomplemented subspace W(E, F). 92£:46019 

Fleming, Richard J. (with Jamison, James E.) Banach spaces with a basic inequality 
property and the best compact approximation property. 92i:46016a 

— (with Jamison, James E.) M-ideals and a basic inequality in Banach spaces. 92i:46016b 

Fourie, Jan H. Absolutely summing multipliers and topologies on L(E, F). 92c:46007 

Garcia Nogales, Agustin Examples of .% -analyticity and other topological properties. 
(Spanish. English summary) (see 92b:00044) 

Girardi, Maria Dentability, trees, and Dunford-Pettis operators on L;. 92¢:46030 

Godun, B. V. (with Troyanski, S. L.) Norm-attaining operators, and the geometry of the 
unit sphere of a Banach space. (Russian) 92d:46038 

Grubb, Anthea Atomicity preserving automorphisms on the space of linear operators on a 
two-dimensional vector space. 92k:15057 

Grzaslewicz, Ryszard (with Younis, Rahman) Smooth points of some operator spaces. 
921:46018 

Han, De Guang On reflexivity and hyperreflexivity for linear subspace of operators. 
92f:47044 

Hou, Jin Chuan Rank-preserving linear maps on B(X). 92b:47052 

Jamison, James E. see Fleming, Richard J., 92i:46016a and 92i:46016b 

Kalton, N. J. Differentials of complex interpolation processes for Kéthe function spaces. 
92m:46111 

Khalil, Roshdi (with Saleh, Mohamed Hussein) Extreme points and isometries of g-nuclear 
operators in Banach spaces. 92k:47087 

Kim, Sang Og see Shin, Dong Yun; et al., 92d:46147 

Lee, Sa Ge see Shin, Dong Yun; et al., 92d:46147 

Oja, Eve * Tpogonxenne dbyHKuMOHasOB H CTpyKTypa NpocTpaHcTBa HelpepbIBHbIX 
JMHeMHBIX OnepaTopos. (Russian) [Extension of functionals and the structure of the space 
of continuous linear operators] 92g:46019 

Rajappa, Asthagiri K. Weak continuity of a composition map between spaces of compact 
operators and Banach valued continuous functions. 924:47051 

— see also Aron, Richard M., 924:47034 





789 1992 


Ruan, Zhong-jin see Effros, Edward G., 92¢:46089 

Saleh, Mohamed Hussein see Khalil, Roshdi, 92k:47087 

Samarskil, V.G. Absolutely summing operators in spaces of cotype 2. (Russian) 92e:47027 

Schliichtermann, G. On weakly compact operators. 92k:47066 

Schiitt, I. Unconditional bases in Banach spaces of absolutely p-summing operators. 
924:46031 

Serban-Tofan, Doina Components in the space of bilinear regular operators. 92j:47066 

Shin, Dong Yun (with Lee, Sa Ge; Byun, Chang Ho; Kim, Sang Og) On matrix normed 
spaces. 924:46147 

Troyanski, S. L. see Godun, B. V., 92d:46038 

Werner, Dirk De nouveaux M-idéaux des espaces d’opérateurs compacts. [New M-ideals of 
compact operator spaces] 92¢:46042 

— New classes of Banach spaces which are M-ideals in their biduals. 92m:46029 

Younis, Rahman see Grzaslewicz, Ryszard, 92i:46018 


47D20 Convex sets and cones of operators [see also 90C25, 
90C31] 


Grzg$lewicz, Ryszard Positive functionals on .2(R"). 92k:47084 
Khalil, Roshdi A class of extreme contractions in L(/?). 92e:47073 
Shehada, Hasan A. Reflexivity of convex subsets of L(H) and subspaces of /?. 92d:47059 


Items with secondary classifications in 47D20 

Farenick, D. R. Krein-Mil‘man-type problems for compact matricially convex sets. 
925:46106 

GrzaSlewicz, Ryszard Extreme operator-valued continuous maps. 92h:46049 

Hadjisavvas, N. (with Kravvaritis, Dimitrios; Pantelidis,G.) Structural properties of 
nonlinear monotone operators with values in L(X, Y). 92j:47102 

Kan, Charn-Huen Norming vectors of linear operators between L, spaces. 92h:47038 

Kravvaritis, Dimitrios see Hadjisawvas, N.; et al., 92j:47102 

Nakazi, Takahiko Existence of solutions of extremal problems in H'. 92b:30043 

Pantelidis, G. see Hadjisawvas, N.; et al., 92j:47102 

Pekarev, E. L. A note on extreme points of the intersection of operator segments. 
924:47027 


47D25 Operator algebras on Hilbert space 


Aggarwal, Kanta see Arora, S. C., 92b:47063 

Anoussis, Michalis Interpolating operators in nest algebras. 92f:47043 

Arias, Alvaro All the infinite nest algebras are isomorphic. 92h:47057 

Arora, S.C. (with Aggarwal, Kanta) On pre-reflexive algebras and pre-reflexive operators. 
92b:47063 

— (with Bala, Pawan) Hereditarily strictly cyclic operator algebras. 92d:47060 

Bala, Pawan see Arora, S. C., 92d:47060 

Blecher, David P. Some applications of a recent characterization of operator algebras. (see 
924:00034) 

Davidson, Kenneth R. The relationship between distance formulae and compact perturba- 
tions for reflexive algebras. 92a:47051 

— (with Power, S.C.) Isometric automorphisms and homology for nonselfadjoint operator 
algebras. 92h:47058 

Feeman, Timothy G. Nest algebras of operators and the Dunford-Pettis property. 92¢:47074 

Gilfeather, Frank L. A note on special CSL algebras with nontrivial cohomology. 92b:47064 

— (with Smith, Roger R.) Operator algebras with arbitrary Hochschild cohomology. 
92m:47082 

Han, De Guang On reflexivity and hyperreflexivity for linear subspace of operators. 
92£:47044 

— Rank-one operators in strongly reflexive operator algebras. (Chinese. English summary) 
92g:47057 

Haydon, Richard Reflexivity of commutative subspace lattices. 92j:47080 

Hopenwasser, Alan Complete distributivity. 92a:47052 

Hunter, Andrew C. (with Lance, E. Christopher) Idempotents in the Larson ideal of a nest 
algebra. 92b:47065 

Jo, Young Soo (with Jung, Il Bong) Isometries of %,\"). 92i:47045 

— Factorization of automorphisms on tensor product of algebras. II. 92i:47046 

Jung, 2 Pong see Jo, Young Soo, 92i:47045 

Kadison, Richard V. Triangular algebras—another chapter. 92h:47059 

Kapustin, V. V. (with Lipin, A. V.) Operator algebras and lattices of invariant subspaces. II. 
(Russian. English summary) 92h:47060 

Katavolos, Aristides (with Katsoulis, E.G.) Semisimplicity in operator algebras and 
subspace lattices. 92b:47066 

— Decomposability of operators relative to two subspaces. 92f:47045 

Katsoulis, E.G. The equation 7x = y in nest algebras. 92i:47047 

— (with Power, S.C.) Compact perturbations of certain CSL algebras. 92g:47058 

— see also Katavolos, Aristides, 92b:47066 

Kissin, Edward V. On derivations of operator algebras implemented by bounded operators. 
92k:47085 

Kraus, Jon The slice map problem and approximation properties. 92m:47083 

Lance, E. Christopher see Hunter, Andrew C., 92b:47065 

Larson, David R. Some recent progress in nest algebras. 92g:47059 

— (with Pitts, David R.) Some questions concerning nest algebras. 92g:47060 

— (with Pitts, David R.) Idempotents in nest algebras. 92i:47048 

Lipin, A. V. see Kapustin, V. V., 92h:47060 

McAsey, Michael Spatial implementation of lattice isomorphisms. 92¢:47075 

Moore, Robert Laurens (with Trent, T. T.) Isometries of certain reflexive operator algebras. 
92g:47061 

Orr, John Lindsay On the closure of triangular algebras. 92¢:47053 

— Triangular algebras and ideals of nest algebras. 92¢:47052 

Papadakis, Manos On hyperreflexivity and rank one density for non-CSL algebras. 
92g:47062 


47D Algebraic systems of linear operators 


47D25 


Paulsen, Vern I. (with Power, S.C.) Tensor products of nonselfadjoint operator algebras. 
924:47061 

Peters, Justin R. (with Poon, Yiu Tung) Invariants for triangular AF algebras. 92j:47081 

— On analytic subalgebras of UHF algebras. 92g:47063 

Pitts, David R. A note on the connectedness problem for nest algebras. 92c:47054 

— see also Larson, David R., 92g:47060 and 92i:47048 

Poon, Yiu Tung see Peters, Justin R., 92j:47081 

Power, S.C. Refinement theory for nonselfadjoint operator algebras. 92b:47067 

— Classification of tensor products of triangular operator algebras. 92a:47053 

— see also Paulsen, Vern I., 92d:47061; Katsoulis, E. G., 92g:47058 and Davidson, Kenneth 
R., 92h:47058 

Radjabalipour, Mehdi Simultaneous triangularization of algebras of polynomially compact 
operators. 92h:47061 

Ruan, Zhong-jin On the preduals of dual algebras and their tensor products. 92f:47046 

Semrl, Peter Additive derivations of some operator algebras. 92b:47068 

Smith, Roger R. see Gilfeather, Frank L., 92m:47082 

Solel, Baruch Isometries of CSL algebras. 92j:47082 

Trent, T. T. see Moore, Robert Laurens, 92g:47061 

Wagner, Bruce H. Quasidiagonal operator algebras. 92f:47047 

Zarouf, F. On uniform dual algebras. 92m:47084 


Items with secondary classifications in 47D25 

Arazy, Jonathan (with Friedman, Yaakov) Contractive projections in C,. (French 
summary) 92b:46111 

Arveson, William C*-algebras associated with sets of semigroups of isometries. 92i:46082 

Baki¢, Damir Extensions of the ideal of compact operators by matrix algebras. (see 
92g:00022) 

Bourgain, Jean (with Tzafriri, L.) On a problem of Kadison and Singer. 92j:46104 

Buyukliev, Nikolay P. On the C*-algebras of multivariable Wiener-Hopf operators. 
92¢:47028 

Chilin, V.1. see Sukochev, F. A., 92a:46075 

Dang Suang Tkhan’ see Lebedev, A. V., 92k:47048 

(Doran, Robert S.) see Selfadjoint and nonselfadjoint operator algebras and operator theory, 
92d:00034 

Friedman, Yaakov see Arazy, Jonathan, 92b:46111 

Froelich, John Operator algebras and differential topology. (see 92d:00034) 

Goldstein, Stanislaw (with Paszkiewicz, Adam) Linear combinations of projections in von 
Neumann algebras. 92k:46101 

Higson, Nigel A primer on K K-theory. 92g:19005 

Katavolos, Aristides (with Papanastassiou, Nikos) Order convergence in operator algebras. 
92m:47081 

Kérchy, L. On the functional calculus of contractions with nonvanishing unitary asymp- 
totes. 92a:47012 

Kosiek, M. (with Zajac, Michal) Lebesgue-type decompositions of pairs of commuting 
contractions. 92¢:47008 

Larson, David R. (with Wogen, Warren R.) Some problems on triangular and semi- 
triangular operators. 92i:47019 

Lebedev, A. V. (with Dang Suang Tkhan’) A C*-algebra generated by Toeplitz operators and 
a group of shifts. (Russian. English summary) 92k:47048 

Lorentz, Kai On the rational homogeneous manifold structure of the similarity orbits of 
Jordan elements in operator algebras. 92i:47040 

Mathes, D. Benjamin Invariant diagonal operator ranges. 92¢:47006 

Matveichuk, M.S. The structure of measures on the logic of skew projectors. III. (Russian) 
92j:46112 

Mercer, Richard Isometric isomorphisms of Cartan bimodule algebras. 92k:46102 

Muhly, Paul S. (with Qiu, Chao Xin; Solel, Baruch) Intrinsic isomorphism invariants for 
some triangular operator algebras. 92f:46061 

Neuhardt, Erwin Kernel operators on L?-spaces associated with semifinite von Neumann 
algebras. 92k:46111 

Papanastassiou, Nikos see Katavolos, Aristides, 92m:47081 

Paszkiewicz, Adam see Goldstein, Stanisiaw, 92k:46101 

Paulsen, Vern I. Three tensor norms for operator spaces. 92j:46108 

Pedersen, Gert K. The corona construction. 92¢:46119 

Pincus, J.D. The principal index. 92f:47037 

Poon, Yiu Tung Analytic triangular algebras with integer valued cocycle. (see 92d:00034) 

Pop, Florin Derivations of certain nest-subalgebras of von Neumann algebras. 92b:46108 

Ptak, Marek Reflexivity of multiplication operators in certain domains in C”. (Russian 
summary) 92e:47051 

Qiu, Chao Xin see Muhly, Paul S.; et al., 92f:46061 

Saito, Kichi-Suke An introduction to Toeplitz operators associated with analytic crossed 
products. (see 92d:00034) 

Semrl, Peter On Jordan +-derivations and an application. 92b:46087 

Sheu, Albert Jeu-Liang Isomorphism of the Toeplitz C*-algebras for the Hardy and 
Bergman spaces on certain Reinhardt domains. 92k:47054 

Smith, Roger R. Extension problems for maps on operator systems. 92f:46069 

Solel, Baruch Distance formula and contractive projections. (see 92d:00034) 

— see also Muhly, Paul S.; et al., 92f:46061 

Stroh, Anton (with Swart, Johan) A Riesz theory in von Neumann algebras. 92c:46063 

Sukochev, F. A. (with Chilin, V. I.) Symmetric spaces over semifinite von Neumann 
algebras. (Russian) 92a:46075 

Swart, Johan see Stroh, Anton, 92c:46063 

Tanbay, Betiil Pure state extensions and compressibility of the /\-algebra. 92b:46096 

Tzafriri, L. see Bourgain, Jean, 92j:46104 

Wagner, Bruce H. Classification of essential commutants of abelian von Neumann algebras. 
92h:46089 

Wogen, Warren R. see Larson, David R., 92i:47019 

Zajac, Michal see Kosiek, M., 92c:47008 





47D25 


Items listed otherwise than by author 

Conference: 
Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory * Selfadjoint and 

nonselfadjoint operator algebras and operator theory. 92d:00034 

Contemporary Mathematics * Selfadjoint and nonselfadjoint operator algebras and 
operator theory. 92d:00034 

Fort Worth, TX * Selfadjoint and nonselfadjoint operator algebras and operator theory. 
92d:00034 

Problems: 
Operator algebras A collection of problems on operator algebras. 92j:46100 

Selfadjoint and nonselfadjoint operator algebras and operator theory * Selfadjoint and 
nonselfadjoint operator algebras and operator theory. 92d:00034 


47D27 Dual operator algebras 


Chevreau, Bernard (with Pearcy, Carl) The isolated Fredholm spectrum in the theory of 
dual algebras. 92k:47086 

Hernandez-Garciadiego, Carlos (with Pérez Esteva, Salvador) On dual algebras and 
algebraic operators. 924:47062 

Pearcy, Carl see Chevreau, Bernard, 92k:47086 

Pérez Esteva, Salvador see Hernandez-Garciadiego, Carlos, 924:47062 


Items with secondary classifications in 47D27 

Chevreau, Bernard (with Pearcy, Carl) On common noncyclic vectors for families of 
operators. 92k:47013 

Jo, Young Soo see Jung, Il Bong, 92i:47022 

Jung, Il Bong (with Park, Chan Young) A note on operators in the classes Am». 92b:47023 

— (with Kim, Yong Chan) Dual operator algebras and Co-operators. 92b:47024 

— (with Kim, Yong Chan; Park, Yong Kil) On dilation theorems of a contraction in the 
classes A,. 92b:47006 

— (with Jo, Young Soo) Universal dilations of a completely nonunitary normal operator. 
92i:47022 

Kim, Yong Chan see Jung, I] Bong; et al., 92b:47006 and 92b:47024 

Li, Wing Suet On polynomially bounded operators. I. 92m:47010 

Marsalli, Michael A classification of operator algebras. 92e:47076 

Ouannasser, M. Une remarque sur la classe A; x,. (English summary) [A remark on the class 
Aix] 924:47025 

Park, Chan Young see Jung, Il Bong, 92b:47023 

Park, Yong Kil see Jung, Il Bong; et al., 92b:47006 

Pearcy, Carl see Chevreau, Bernard, 92k:47013 

Ruan, Zhong-jin On the preduals of dual algebras and their tensor products. 92f:47046 

Zarouf, F. On uniform dual algebras. 92m:47084 





47D30 Operator algebras on Banach spaces and other linear 
topological spaces 


Dowson, H. R. Solution to a problem of Lior Tzafriri. 92j:47083 

Gonzalez, Manuel (with Martinon, Antonio) Operational quantities and operator ideals. 
(see 92b:00044) 

— (with Martin6n, Antonio) On the generalized Sadovskii functor. 92j:47084 

Hadwin, Don (with Nordgren, Eric A.) Reflexivity and direct sums. 92g:47064 

Haluska, Jan On a symbol of operators generating finite-dimensional algebras. 92b:47069 

Han, De Guang Rank one operators and bimodules of reflexive operator algebras in Banach 
spaces. 92h:47062 

Khalil, Roshdi (with Saleh, Mohamed Hussein) Extreme points and isometries of g-nuclear 
operators in Banach spaces. 92k:47087 

Marsalli, Michael A classification of operator algebras. 92¢:47076 

Martinén, Antonio Generating operational quantities in Fredholm theory. (see 92b:00044) 

— see also Gonzalez, Manuel, 92j:47084 and (92b:00044) 

Nordgren, Eric A. see Hadwin, Don, 92g:47064 

Saleh, Mohamed Hussein see Khalil, Roshdi, 92k:47087 

Semrl, Peter On algebraic generation of B(X) by two subalgebras with square zero. 
92b:47070 

Spanoudakis, N. K. Generalizations of certain nest algebra results. 92i:47049 

Westwood, Derek J. Nests in Banach space. 92¢:47055 

Zelazko, Wieslaw Concerning trivial maximal abelian subalgebras of B(X). 92¢:47077 


Items with secondary classifications in 47D30 

Argyros, S. (with Lambrou, M.; Longstaff, W. E.) Atomic Boolean subspace lattices and 
applications to the theory of bases. 92m:46022 

Eschmeier, Jérg Multiplication operators on Bergman spaces are reflexive. 92f:47027 

Gordeev, S. R. On the index and homotopy classification of Noether operators with a finite 
group of shifts. (Russian) 924:47065 

Grenbek, Niels Amenability and weak amenability of tensor algebras and algebras of 
nuclear operators. 92f:46062 

Tonagcu, Ileana Note on the completion of partial contractions and on the distance formula 
in Banach spaces of type /' or /°. (Romanian. English summary) 92e:47010 

Lambrou, M. see Argyros, S.; et al., 92m:46022 

Longstaff, W. E. see Argyros, S.; et al., 92m:46022 

Orhon, Mehmet Boolean algebras of projections on Banach spaces. 92b:47050 

Pitts, David R. A note on the connectedness problem for nest algebras. 92c:47054 

Ricker, Werner J. Boolean algebras of projections and spectral measures in dual spaces. 
92e:47059 

Roch, Steffen (with Silbermann, Bernd) * Algebras of convolution operators and their 
image in the Calkin algebra. 92d:47067 

— Local algebras of Toeplitz operators on /?’. 92:47019 

Schulze, Bert-Wolfgang Topologies and invertibility in operator spaces with symbolic 
Structures. 92b:47081 

Silbermann, Bernd see Roch, Steffen, 924:47067 


OPERATOR THEORY 


1992 790 


Soldatov, A. P. * OgHomepubie CHHIyapHbie OnepaTopbi HW KpaeBbie 3a4a4H TeopHH yHKWHH. 
(Russian) [One-dimensional singular operators and boundary value problems in function 
theory] 92i:47060 

Tolokonnikov, V. A. Algebras of Toeplitz operators in spaces of smooth functions. (Russian) 
92h:47032 

Vasilevskii, N. L. Nonclassical singular integral operators and algebras generated by them. 
(see 92a:00039) 

Xia, Daoxing A note on the trace formulas for almost commuting operators. 92k:47074 

Zelazko, Wiestlaw On a problem of Fell and Doran. 92k:46093 


47D35 Dual spaces of operator algebras and topological groups 


Items with secondary classifications in 47D35 

Kérchy, L. On the functional calculus of contractions with nonvanishing unitary asymp- 
totes. 92a:47012 

Schmiidgen, Konrad Eine Einfiihrung in die Theorie der Quantenmatrixgruppen. [An 
introduction to the theory of quantum matrix groups] 92g:46087 


47D40 Algebras of unbounded operators 


Alimov, A. A. Normal functionals on E W*-algebras. (Russian. Uzbek summary) 92b:47071 

Chilin, V.I. see Zakirov, B. S., 92g:47068 = 

Hofmann, Gerald (with Léffler, Frank) On inner characterizations of AO*-algebras and 
some applications to Calkin algebras and symmetric tensor-algebras. 92i:47050 

Inoue, Atsushi Decomposition of *-homomorphisms of unbounded operator algebras. 
92k:47088 

— Standard partial O*-algebras. 92j:47085 

— Extension of unbounded left Hilbert algebras to partial «-algebras. 92b:47072 

— Modular structure of algebras of unbounded operators. 92k:47089 

Junek, Heinz Representation of linear functionals by a trace on algebras of unbounded 
operators defined on dualmetrizable domains. 92g:47066 

— Maximal Op’*-algebras on DF-domains. (German and Russian summaries) 92g:47065 

Kiirsten, Klaus-Detlef On commutatively dominated Op*-algebras with Fréchet domains. 
92g:47067 

— (with Milde, Michael) Calkin representations of unbounded operator algebras acting on 
nonseparable domains. 92j:47086 

Léffler, Frank see Hofmann, Gerald, 92i:47050 

Milde, Michael see Kirsten, Klaus-Detlef, 92j:47086 

Scholz, Erasmus (with Timmermann, W.) Special additive and multiplicative commutator 
representations for diagonal operators. 92h:47063 

Shabani, J. On some class of topological quasi *-algebra. 92i:47051 

Timmermann, W. On positive maps in algebras of unbounded operators. 92j:47087 

— see also Scholz, Erasmus, 92h:47063 

Zakirov, B.S. Ideals in algebras of unbounded operators. (Russian) 92a:47054 

— (with Chilin, V. I.) Abstract characterization of EW*-algebras. (Russian) 92g:47068 


Items with secondary classifications in 47D40 

Antoine, J.-P. (with Ota, Schéichi) Unbounded GNS representations of a *-algebra in a 
Krein space. 92a:46061 

— (with Inoue, Atsushi) Representability of invariant positive sesquilinear forms on partial 
*-algebras. 92b:46085 

Belanger, Alain (with Thomas, Erik G. F.) Positive forms on nuclear *-algebras and their 
integral representations. 92j:46102 

Chilin, V.I. see Zakirov, B. S., 92h:46081 

Epifanio, Giuseppina (with Trapani, Camillo) Partial +-algebras and Volterra convolution 
of distribution kernels. 92d:46138 

Inoue, Atsushi see Antoine, J.-P., 92b:46085 

Jorgensen, Palle E.T. Extensions and index of Hermitian representations. 92b:46086 

— (with Powers, Robert T.) Positive elements in the algebra of the quantum moment 
problem. 92k:47090 

Kunze, Wolfgang Noncommutative Orlicz spaces and generalized Arens algebras. 
92h:46092 

Kurose, Hideki (with Ogi, Hidekazu) On a generalization of the Tomita-Takesaki theorem 
for a quasifree state on a self-dual CCR algebra. 922:46064 

Lassner, Gerd (with Lassner, Gisela A.) Qu*-algebras and representations. (German 
summary) 92m:46080 

Lassner, Gisela A. see Lassner, Gerd, 92m:46080 

Ogi, Hidekazu On KMS states for self-dual CCR algebras and Bogoliubov automorphism 
groups. 924:46154 

— see also Kurose, Hideki, 922:46064 

Ostrovskii, V.L. (with Samoilenko, Yu. S.) Structure theorems for a pair of unbounded 
selfadjoint operators satisfying quadratic relation. (Russian summary) 92m:47050 

Ota, Schéichi Quasi-affinity for unbounded representations. 92k:46092 

— see also Antoine, J.-P., 92a:46061 

Powers, Robert T. see Jorgensen, Palle E. T., 92k:47090 

Robinson, Derek W. * Elliptic operators and Lie groups. 92m:58133 

Samoilenko, Yu. S. * Spectral theory of families of selfadjoint operators. 92j:47038 

— see also Ostrovskii, V. L., 92m:47050 

Stochel, Jan (with Todorov, T.S.) On the characterization of cyclic *-representations with 
equal weak and strong commutants: domination of functionals and a general notion of 
normality. 92m:46081 

— (with Todorov, T. S.) On the characterization of cyclic*-representations with equal 
weak and strong commutants: on GNS representations induced by normal functionals 
(commutative case). 92m:46082 

Thomas, Erik G. F. see Belanger, Alain, 92j:46102 

(Tisjachnij, E. V.) see Samoilenko, Yu. S., 92j:47038 

Todorov, T.S. see Stochel, Jan, 92m:46081 and 92m:46082 

Trapani, Camillo see Epifanio, Giuseppina, 92d:46138 





791 1992 





Ww wicz, S. L. Unbounded elements affiliated with C*-algebras and noncompact 
quantum groups. 92b:46117 

Zakirov, B.S. (with Chilin, V. I.) Generalized B*-algebras and unbounded operator 
algebras. (Russian) 92h:46081 


47D45 Applications of operator algebras to physics 
[see also 46L60, 46N50, 46N55, 47N50, 47N55] 


Items with secondary classifications in 47D45 

Aizenshtadt, V. V. (with Botvich, D. D.; Malyshev, V. A.) Bounded perturbations of the 
free dynamics of quantum systems. (Russian) 92b:46109 

Belanger, Alain (with Thomas, Erik G. F.) Positive forms on nuclear +-algebras and their 
integral representations. 92j:46102 

Botvich, D. D. see Aizenshtadt, V. V.; et al., 92b:46109 

Dubin, D. A. (with Hennings, M. A.) * Quantum mechanics, algebras and distributions. 
92k:46123 

Hennings, M. A. see Dubin, D. A., 92k:46123 

Itoh, Takashi! A decomposition theorem in a Banach +-algebra related to completely 
bounded maps on C*-algebras. 92g:46071 

Jorgensen, Palle E.T. Representations of symplectic vector spaces obtained as unitary 
dilations. 92m:17019 

Malyshev, V. A. see Aizenshtadt, V. V.; et al., 92b:46109 

Manita, A. D. Properties of translation-invariant quantum-dynamical semigroups. 
(Russian. English summary) 92j:46118 

Pusz, Wieslaw On the implementation of S,U(2) action in the irreducible representations 
of twisted canonical commutation relations. 92¢:81073 

Reményi, M. (with von Waldenfels, W.) Fluctuations of the Dicke maser. 92c:81240 

Sakai, Shéichiré * Operator algebras in dynamical systems. 92h:46099 

Thomas, Erik G. F. see Belanger, Alain, 92j:46102 

von Waldenfels, W. see Reményi, M., 92c:81240 


47D50 Operator ideals 


Cobos, Fernando (with Fernandez-Cabrera, Luz M.) On the tensor stability of some 
operator ideals. (Russian summary) 92f:47048 

Corbacho Rosas, Eusebio (with Martinez, Aurea) Operator bi-ideals and tensor norms. 
(Spanish) (see 92g:00024) 

Fernandez-Cabrera, Luz M. see Cobos, Fernando, 92f:47048 

Gonzalez, Manuel (with Martinén, Antonio) On operator ideals determined by sequences. 
92m:47085 

Junek, Heinz Injective and radial ideals of bilinear operators. (German and Russian 
summaries) 92¢:47078 

Martinez, Aurea see Corbacho Rosas, Eusebio, (92g:00024) 

Martinon, Antonio see Gonzalez, Manuel, 92m:47085 


Items with secondary classifications in 47D50 


Aiena, Pietro Riesz operators and perturbation ideals. 92e:47026 

Arazy, Jonathan (with Friedman, Yaakov) Contractive projections in C,. (French 
summary) 92b:46111 

Castillo, Jestis M. F. (with Sanchez Fernandez, Fernando) Approximation properties 
defined by the ideal of compact operators. (Turkish summary) 92k:46002 

Defant, Andreas (with Mascioni, Vania) Limit orders of ex-continuous operators. 
924:47031 

Friedman, Yaakov see Arazy, Jonathan, 92b:46111 

Gonzalez, Manuel (with Martinén, Antonio) On the generalized Sadovskii functor. 
92j:47084 

Junek, Heinz The geometric-topological structure of the bounded subsets in (/")-spaces. 
92¢:46005 

Kim, Yong Tae (with Lee, Woo Young; Lee, Hae Jin) Almost invertibility modulo closed 
ideals. 92j:47002 

Lee, Hae Jin see Kim, Yong Tae; et al., 92j:47002 

Lee, Woo Young see Kim, Yong Tae; et al., 92j:47002 

Martin6én, Antonio see Gonzalez, Manuel, 92j:47084 

Mascioni, Vania see Defant, Andreas, 92d:47031 

Sanchez Fernandez, Fernando see Castillo, Jestis M. F., 92k:46002 

Tita, Nicolae Entropy ideals and s-number ideals. (Romanian. English summary) 92j:47041 

Zakirov, B.S. Ideals in algebras of unbounded operators. (Russian) 92a:47054 


47D99 None of the above, but in this section 


Jorgensen, Palle E. T. (with Powers, Robert T.) Positive elements in the algebra of the 
quantum moment problem. 92k:47090 

Khatskevich, V. A. (with Shmul’yan, Yu. L.; Shul/man, V.S.) Pre-orders and equivalences 
in the operator ball. (Russian) 92m:47086 

Powers, Robert T. see Jorgensen, Palle E. T., 92k:47090 

Shmul’yan, Yu. L. see Khatskevich, V. A.; et al., 92m:47086 

Shul/man, V.S. see Khatskevich, V. A.; et al., 92m:47086 


Items with secondary classifications in 47D99 


Battcher, Albrecht (with Silbermann, Bernd) * Analysis of Toeplitz operators. 92e:47001 

Burlando, Laura (with Harte, Robin) On the closure of the invertibles. 92e:47004 

Cobos, Fernando (with Kiihn, Thomas; Peetre, Jaak) Schatten-von Neumann classes of 
multilinear forms. 92m:47046 

Curto, Rail E. (with Muhly, Paul S.; Xia, Jingbo) Random Toeplitz operators. 92b:47033 

— (with Muhly, Paul S.; Xia, Jingbo) Toeplitz operators on flows. 92b:47032 

Dehghan, M. A. (with Radjabalipour, Mehdi) Matrix algebras and Radjavi’s trace 
condition. 92a:15017 

Dorfmeister, Josef (with Neher, Erhard; Szmigielski, J.) Automorphisms of the KdV- 
subvariety. 92e:58089 


47E Ordinary differential operators 


47E0S 


Gordeev, S. R. The index of operators with shift, and cyclic subgroups. (Russian) 
92a:20010 

Harte, Robin see Burlando, Laura, 92¢:47004 

Khimshiashvili, G. N. On the homotopy structure of invertible singular operators. (see 
92d:30002) 

— Homotopies of invertible pseudodifferential operators. (Russian summary) 92b:58221 

Kirichuk, P. A. Perturbation of an operator-valued function of Mittag-Leffler type. 
(Russian. English summary) 92a:47017 

Kihn, Thomas see Cobos, Fernando; et al., 92m:47046 

Kirsten, Klaus-Detlef Bounded sets in projective tensor products of Hilbertizable locally 
convex spaces. 92h:46108 

Kusuda, Masaharu G-central states of almost periodic type on C*-algebras. 924:46153 

Maeda, Michie On some cylindrical vector-valued measures. 92h:46067 

Muhly, Paul S. see Curto, Raul E.; et al., 92b:47032 and 92b:47033 

Neher, Erhard see Dorfmeister, Josef; et al., 92e:58089 

Nica, Alexandru Wiener-Hopf operators on the positive semigroup of a Heisenberg group. 
92d:47038 

Omladié, Matjaz (with Semri, Peter) Spectrum-preserving additive maps. 92¢:47061 

Park, Efton (with Schochet, Claude) On the K-theory of quarter-plane Toeplitz algebras. 
92d:46174 

Peetre, Jaak see Cobos, Fernando; et al., 92m:47046 

Podkolzin, G. B. The infinitesimal object of a hypercomplex system generated by double 
cosets, and nonlinear differential equations. (Russian) 92k:22009 

Radjabalipour, Mehdi see Dehghan, M. A., 92a:15017 

Schochet, Claude see Park, Efton, 92d:46174 

Semrl, Peter see Omladié, Matjaz, 92e:47061 

Silbermann, Bernd see Béttcher, Albrecht, 92e:47001 

Suen, Ching Yun On a theorem of Glimm. 92b:46090 

Szmigielski, J. see Dorfmeister, Josef; et al., 92e:58089 

Tikhonov, O. E. Spectral theory for base-norm spaces with a trace. 92i:47041 

Xia, Jingbo see Curto, Rail E.; et al., 92b:47032 and 92b:47033 


47E05 Ordinary differential operators [see also 34Bxx, 
34Lxx, 58F19] 


Almamedov, M.S. (with Bairamogly, M.; Katanova, V.I.) Trace formulas for an even-order 
differential equation with an unbounded operator coefficient. (Russian) 92i:47052 

— (with Katanova, V. I.) Regularization of the trace of a higher-order differential operator 
with a bounded operator coefficient. (Russian) 92i:47053 

Bairamogly, M. see Almamedov, M. S.; et al., 92i:47052 

Barkar’,S. M. On the spectrum of a boundary value problem in the open right half-plane. 
(Russian. English and Moldavian summaries) 92i:47054 

Buffoni, Boris Discrete spectrum of perturbed Dirac systems with real and periodic 
coefficients. 92¢:47079 

Chojnacki, Wojciech Eigenvalues of almost periodic Schrodinger operators in L?(bR) are at 
most double. 92h:47064 

Dijksma, A. (with de Snoo, H. S. V.; El Sabbagh, A. A.) Selfadjoint extensions of regular 
canonical systems with Stieltjes boundary conditions. 92h:47065 

El Sabbagh, A. A. see Dijksma, A.; et al., 92h:47065 

Fu, Shou Zhong Extension problems for differential operators in direct sum spaces—J- 
selfadjoint problems in direct sum spaces. II. (Chinese. English summary) 92h:47066 

Ibragimov, E. Ch. see Yakubov, S. Ya., 92m:47088 

Katanova, V.I. see Almamedov, M. S.; et al., 92i:47052 and 92i:47053 

Kirsch, Werner (with Molchanov, S. A.; Pastur, L. A.) The one-dimensional Schrédinger 
operator with unbounded potential: the pure point spectrum. (Russian) 92¢e:47080 

Kochubei, A. N. Selfadjoint extensions of Schroedinger operators with singular potentials. 
92¢:47081 

— An operator of Schrédinger type over the p-adic number field. (Russian. English 
summary) 92e:47082 

Kopylov, V. 1. The Dirac system in a space with an indefinite metric. (Russian) 92j:47088 

Kozhukhar’, P. A. Point spectrum of singular nonselfadjoint differential operators. 
(Russian) 92j:47089 

Langer, Heinz (with Méller, Manfred) Linearization of boundary eigenvalue problems. 
92g:47069 

Livinskii, V. A. The differential operators of a string. (Russian) 92¢:47083 

Lomov, I. S. The basis property of root vectors of loaded second-order differential operators 
on an interval. (Russian) 92g:47070 

Magerramov, A. M. see Maksudov, F. G.; et al., 92a:47055 

Maksudov, F.G. (with Magerramov, A. M.; Mamedov, M. Z.) Spectral analysis of pencils 
of differential operators of special type. (Russian) 92a:47055 

Mamedov, M. Z. see Maksudov, F. G.; et al., 92a:47055 

Melik-Adamyan, F. E. A class of canonical differential operators. (Russian. English and 
Armenian summaries) 92a:47056 

Molchanov, S. A. see Kirsch, Werner; et al., 92e:47080 

Miller, Manfred see Langer, Heinz, 92g:47069 

Pastur, L. A. see Kirsch, Werner; et al., 92e:47080 

del Rio Castillo, Rafael R. Embedded eigenvalues of Sturm-Liouville operators. 92h:47067 

Sakhnovich, A. L. Spectral functions of a second-order canonical system. (Russian) 
92c:47056 

Schultze, Bernd On the deficiency index problem for Sturm-Liouville type operators. 

Skubachevskii, A. L. (with Steblov,G.M.) On the spectrum of differential operators with a 
domain that is not dense in L2(0,1). (Russian) 92m:47087 

de Snoo, H.S. V. see Dijksma, A.; et al., 92h:47065 

Steblov, G. M. see Skubachevskii, A. L., 92m:47087 

Tyurin, V. M. Invertibility of linear differential operators in some function spaces. 
(Russian) 92k:47091 

Yakubov, S. Ya. (with Ibragimov, E. Ch.) Estimates for the solutions of an ordinary 
differential equation with a parameter and functional conditions. (Russian) 92m:47088 

Yurko, V. A. Determination of differential operators on the half-line. (Russian) 92j:47090 





47E0S 


Items with secondary classifications in 47E05 


Abramovich, Shoshana The gap between the first two eigenvalues of a one-dimensional 
Schrédinger operator with symmetric potential. 92f:34077 

Aliev, I. V. see Maksudov, F. G., 92m:34135 

Arutyunyan, T. N. The eigenvalue function and a uniqueness theorem in an inverse problem 
for the Dirac operator with a discrete spectrum. (Russian) 92k:34113 

Babasyan, S. V. An inverse scattering problem for higher-order differential operators on a 
half-line. (Russian. English and Armenian summaries) 92¢e:34119 

Ball, Joseph A. (with Fanney, Thomas R.) Uniform limits of sequences of polynomials and 
their derivatives. 92f:41012 

Baranetskii, Ya. E. A boundary value problem for operator-differential equations of even 
order. (Russian) 924:34152 

B. ka, M. see Moiseev, E. I., 92e:34117 

Barskii, I. L. On the behavior of the spectrum of some linear multipoint boundary value 
problems for ordinary differential equations. (Russian) 92i:34021 

Beeva, B. D. see Bozinov, Nikolai S. 

Benammar, M. Classification of regularly solvable first-order differential operators. 
92k:34109 

Bozinov, Nikolai S. (with Beeva, B. D.) Mean-periodic extensions of continuous functions 
with respect to generalized translation operators associated with second order differential 
operators. 

Budaev, V. D. On the Bessel inequality for systems of root functions of differential 
operators. (Russian) 92j:34144 

Buslaev, V.S. (with Dmitrieva, L. A.) Bloch electrons in an external electric field. 
92g:81037 

Castellanos Pena, René see Lépez Vidaurreta, Jorge; et al., 92d:34058 

Chan Khy-u Bong On the Fredholm property for linear differential operators with delay and 
with a small parameter. (Russian. Tajiki summary) 92¢:47065 

Dement'eva, A. M. (with Krasnosel’skii, A. M.; Yumagulov, M. G.) The operator of a 
periodic problem for a first-order equation. (Russian. Tajiki summary) 92b:34102 

Dmitrieva, L. A. see Buslaev, V. S., 92g:81037 

DoSly, Ondiej Oscillation criteria and the discreteness of the spectrum of selfadjoint, even 
order, differential operators. 92h:34159 

Edmunds, David E. (with Jiong, Sun) Embedding theorems and the spectra of certain 
differential operators. 92k:34110 

Exner, Pavel Bound states and resonances in quantum wires. 92h:82143 

Fanney, Thomas R. see Ball, Joseph A., 92f:41012 

Fassari, Silvestro On the bound states of nonrelativistic Krénig-Penney Hamiltonians with 
short range impurities. 92h:81035a 

— On the bound states of relativistic Krénig-Penney Hamiltonians with short range 
impurities. 92h:81035b 

Fiedler, Frank About certain fourth-order ordinary differential operators—oscillation and 
discreteness of their spectrum. 92¢:34114 

Frentzen, Hilbert Limit-point criteria for not necessarily symmetric ordinary differential 
expressions. 924:34054 

Frolov, S. V. see Paviov, B. S., 92m:34189 

Gesztesy, F. (with Schweiger, W.; Simon, Barry) Commutation methods applied to the 
mKdV-equation. 92b:35132 

Gil’, M. I. * Merog onepaTopxsix byHKuHH B TeopHH AuddepeHHabHbIX ypaBHeHHH (c 
IIPHIOKeHHAME K 3aa4aM 9kouIOrHH). (Russian) [The method of operator functions in the 
theory of differential equations (with applications to problems of ecology)] 92b:34002 

Goldberg, Maxim J. A functional calculus for a matrix perturbation of d/dx. 92m:47033 

Gomilko, A. M. (with Radzievskii,G. V.) Equiconvergence of series in eigenfunctions of 
ordinary functional-differential operators. (Russian) 92f:47054 

Gordon, A. Ya. A deterministic potential with a purely point spectrum. (Russian) 
92b:34104 

Gubreev, G. M. Spectral analysis of biorthogonal expansions of functions in series of 
exponentials. (Russian) 92¢:47046 

Han, Sung S. (with Kwon, Kil H.) Spectral analysis of Bessel polynomials in Krein space. 
92g:49031 

Heinz, Hans-Peter Bifurcation from the essential spectrum for nonlinear perturbations of 
Hill’s equation. 92e:34115 

Hinton, D. B. (with Shaw, J. K.) Differential operators with spectral parameter incom- 
pletely in the boundary conditions. 92i:34116 

Horvath, Miklés On eigenfunction expansions. 924:34153 

I¥in, Viadimir Aleksandrovich Componentwise localization principle and componentwise 
equiconvergence with a trigonometric series for expansions in root vectors of the 
Schrédinger operator with a matrix potential. (Russian) 92k:34111 

— Equiconvergence with a trigonometric series of expansions in root functions of the 
Schrédinger operator with an arbitrary summable complex-valued potential. (Russian) 
92k:34112 

Imamberdyev, B. I. On the spectral function of an ordinary differential operator of odd 
order. (Russian) 92¢:34094 

Izvekov, I.G. The localization principle for expansions of generalized functions in 
eigenfunctions of the Sturm-Liouville operator on a finite interval. (Russian. Ukrainian 
summary) 92e:34121 

Jiong, Sun see Edmunds, David E., 92k:34110 

Johnson, Russell Cantor spectrum for the quasi-periodic Schrédinger equation. 92i:34118 

Jo6, Istvan On the divergence of eigenfunction expansions. 92d:47030 

— On the summation of some expansions. 92i:34117 

Kesel‘man, G. M. Regularized traces of a second-order functional-differential operator. 
(Russian) 92b:47078 

Khasanov, A. B. The inverse scattering problem for a perturbed finite-gap Sturm-Liouville 
operator. (Russian) 92e:34120a 

— The inverse scattering problem for a perturbed finite-gap Sturm-Liouville operator. 
(Russian) 92¢:34120b 

Khryashchév, S. V. Discrete spectrum for a periodic Schroedinger operator perturbed by a 
decreasing potential. 92f:34078 

Kirsch, Werner (with Nitzschner, Frank) Lifshitz-tails and non-Lifshitz-tails for one- 
dimensional random point interactions. 92g:82058 





OPERATOR THEORY 


Krasnosel'skii, A. M. see Dement’eva, A. M.; et al., 92b:34102 

Kritskov, L. V. The unconditional basis property for systems of root functions of the one- 
dimensional singular Schrédinger operator. (Russian) 92j:34145 

Kruglikova, O. P. On boundary value-type eigenvalue problem. (Russian) 92h:47028 

— Spectral functions of the restriction of the differentiation operator. (Russian) 92j:47044 

Kwon, Kil H. see Han, Sung S., 92g:49031 

Lando, Yu. K. Restrictions of an operator by orthogonality conditions imposed on its graph. 
(Russian) 92g:47003 

Langer, Heinz (with Schneider, Albert') On spectral properties of regular quasidefinite 
pencils F — AG. 924:47017 

Levitan, B. M. (with Sargsyan, I. S.) * Sturm-Liouville and Dirac operators. 92i:34119 

Lezcano Rodriguez, Luis Enrique A distribution formula for the eigenvalues of the Sturm- 
Liouville operator. (Spanish. English summary) 92c:34096 

Li, Wen Ming see Shang, Zai Jiu; et al., 92h:34160 

Loi, N. H. On the equiconvergence of the Riesz means for the functions from the class L5. 
92¢:34095 

Lokutsievskaya, E.O. The structure of the spectrum of the Schrédinger operator with 
quasiperiodic potential near the ground state. The discrete and the continuous case. 
(Russian. English summary) 92h:34161 

Lomov, I.S. Properties of root functions of the Sturm-Liouville operator that are discontin- 
uous on an everywhere dense set. (Russian) 92¢:34116 

Lépez Iribar, José see Lépez Vidaurreta, Jorge; et al., 92d:34058 

Lépez Vidaurreta, Jorge (with Oses Recio, Jorge; Castellanos Pena, René; Lopez Iribar, José) 
Construction of the Green function for L = d?/dx? + q and the associated discrete case. 
(Spanish. English summary) 92d:34058 

Maksudov, F. G. (with Aliev, I. V.) Second-order operator-differential equations with 
nonregular boundary conditions. (Russian) 92m:34135 

Malamud, M. M. On transformation operators for ordinary differential equations. 
(Russian) 92:34076 

Mantlik, Frank (with Schneider, Albert!) Note on the absolutely continuous spectrum of 
Sturm-Liouville operators. 92b:34103 

— On a conjecture of J. Weidmann. 924:34159 

Marz, Christoph Spectral asymptotics for Hill’s equation near the potential maximum. 
92¢e:34122 

Misyura, T. V. An asymptotic formula for Weyl solutions of Dirac equations. (Russian. 
English summary) 92g:34113 

Moiseev, E.1. (with Barnovska, M.) Unconditional basis property of the system of 
eigen- and associated functions for a first-order differential operator in spaces of vector 
functions. (Russian. English summary) 92¢:34117 

Muratbekov, M. B. On the smoothness and approximation properties of solutions of a 
nonlinear Dirac system. (Russian. English and Kazakh summaries) 92j:34020 

Nagnibida, N. I. On the equivalence of composite operators to a double differentiation 
operator. (Russian) 92i:47034 

Nitzschner, Frank see Kirsch, Werner, 92g:82058 

Orochko, Yu. B. Spectral representation of a hyperbolic evolution process that is connected 
with the Sturm-Liouville differential expression. (Russian) 924:47058 

Oses Recio, Jorge see Lépez Vidaurreta, Jorge; et al., 92d:34058 

Pavlov, B.S. (with Frolov, S. V.) Spectral identities for the zone spectrum in the one- 
dimensional case. (Russian. English summary) 92m:34189 

Podol'skii, V. E. Reconstruction of the Sturm-Liouville operator from its weighted zeta- 
function. (Russian) 924:34160 

Race, D. (with Zettl, Anton) On the commutativity of certain quasidifferential expressions. 
I. 92h:34163 

Radzievskii, G. V. see Gomilko, A. M., 92f:47054 

Ricker, Werner J. Spectral-like multipliers in L?(R). 92j:42009 

del Rio Castillo, Rafael R. Singular spectrum of Sturm-Liouville operators under local 
perturbations. 92¢:34100 

— Stability of a singular continuous spectrum of Sturm-Liouville operators. 92k:34115 

Rofe-Beketov, F.S. The inverse Sturm-Liouville problem for the spectral matrix on the 
whole axis and associated problems. (see 92b:35006) 

Rudakov, I. A. A convolution equation in Gevrey spaces. (Russian) 92k:47053 

Sargsyan, I.S. see Levitan, B. M., 92i:34119 

Schneider, Albert! see Mantlik, Frank, 92b:34103 and Langer, Heinz, 92d:47017 

Schweiger, W. see Gesztesy, F.; et al., 92b:35132 

Shang, Zai Jiu (with Li, Wen Ming) Some problems concerning J-symmetric differential 
operators. (Chinese. English summary) 92h:34160 

Shapiro, Victor L. One-sided conditions for quasilinear Jacobi differential equations. 
92b:34020 

Shaw, J. K. see Hinton, D. B., 92i:34116 

Shterengas, S.S. Riesz summability in Ly of series in eigenfunctions of the Sturm-Liouville 
operator. (Russian) 924:34154 

Shubov, Marianna A. Asymptotics of the discrete spectrum for a radial Schrédinger 
operator with nearly Coulomb potential. 92f:35111 

Shuster, L. A. A priori estimates for the solutions of the Sturm-Liouville equation and A. M. 
Molchanov’s criterion. (Russian) 92m:34066 

Simbirskii, M. N. The inverse Sturm-Liouville problem for almost periodic potentials with 
positive Fourier exponents. (Russian. English summary) 92¢:34123 

Simon, Barry see Gesztesy, F.; et al., 92b:35132 

Sin‘ko, G.I. On the spectral theory of a second-order integro-differential operator. (Russian) 
92h:47076 

Sobolev, Aleksandr Vladimirovich Weyl asymptotics for the discrete spectrum of the 
perturbed Hill operator. (see 92g:35153) 

Stakun, A. A. Spectral properties of a singular differential operator. (Russian) 92c:34101 

Stepin, S. A. Spectral analysis of a singular boundary value problem that models the 
vibrations of the atmosphere. (Russian) 92f:34020 

— The vertical structure of vibrations in the atmosphere: double completeness of eigenfunc- 
tions of the problem. (Russian) 92f:34021 

Stolz, Ginter On the absolutely continuous spectrum of perturbed Sturm-Liouville 
operators. 924:34161 

Storozh, O. G. Extremal extensions of a nonnegative operator, and accretive boundary value 





793 1992 


problems. (Russian. Ukrainian summary) 92m:47012 

Syroid, I.-P. P. On the discrete spectrum of the one-dimensional Dirac operator. (Russian) 
(see 92g:47001) 

Taskinen, Jari Factorization of multilinear differential operators with constant coefficients. 
92k:47068 

Teichert, Heidrun The structure of the spectrum of fourth-order differential operators with 
random coefficients. 92j:34114 

Triméche, K. Transmutation operators and mean-periodic functions associated with 
differential operators. 92¢:43004 

— Transformation intégrale de Weyl généralisée associée 4 un opérateur différentiel 
singulier sur (0, co) et probléme de radiation de Weinstein généralisé. (English summary) 
[Generalized integral Weyl transform associated with a singular differential operator on 
(0, co) and the Weinstein generalized radiation problem] 92j:46072 

Urmambetov, B. M. Coercive problems for differential equations. (Kazakh. English and 
Russian summaries) 92k:34077 

Vagabov, A.I. On the violation of the equiconvergence of Fourier series that are connected 
with pencils of ordinary differential operators, and of trigonometric series. (Russian) 
924:34155 

Yarkov, V.G. J-characteristic functions of a pair of linear operators. (Russian) 92j:47026 

Yumagulov, M. G. see Dement’eva, A. M.; et al., 92b:34102 

Zahreddine, Z. Reducibility of second order differential operators with complex coefficients. 
92d:34162 

Zettl, Anton see Race, D., 92h:34163 


47F05 Partial differential operators [see also 35Pxx, 
58G05] 


Ashurov, R. R. On an asymptotic estimate in L for the spectral function of nonselfadjoint 
operators. (Russian) 92b:47073 

— Bi-orthogonal expansions of a nonselfadjoint Schrédinger operator. (Russian) 92g:47071 

Aziz, Sawsan M. A characterization of a class of differential operators. 92k:47092 

Barnovské, M. (with Il'in, V. A.) On the order of equiconvergence almost everywhere of 
Riesz means of nonselfadjoint extensions of the Laplace operator. (Russian. English 
summary) 92m:47089 

Birman, M. Sh. Discrete spectrum in the gaps of the continuous one in the large-coupling- 
constant limit. 92j:47091 

— On a discrete spectrum in gaps of a second-order perturbed periodic operator. (Russian) 
92m:47090 

Bochenek, Jan On positive eigenvectors of a linear eigenvalue problem. 92f:47049 

Boimatov, K. Kh. (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of 
differential operators. (Russian) 92d:47063 

— (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of differential 
operators on a compact manifold without boundary. (Russian) 92a:47057 

— Multidimensional distribution functions for degenerate elliptic operators. (Russian) 
92¢:47084 

— (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of differential 
operators in bounded domains. (Russian) 92i:47055 

— Spectral projectors of hypoelliptic operators. (Russian) 92i:47056 

Boutet de Monvel-Berthier, Anne-Marie An optimal Carleman-type inequality for the Dirac 
operator. 92d:47064 

Brasche, J. F. Dirichlet forms and nonstandard Schrédinger operators. 92j:47092 

— (with Karwowski, Witold) On boundary theory for Schrodinger operators and stochastic 
processes. 92j:47093 

— Generalized Schrédinger operators, an inverse problem in spectral analysis and the 
Efimov effect. 92m:47091 

Dubrovskii, V. V. Abstract formulas for regularized traces of elliptic smooth differential 
operators defined on compact manifolds. (Russian) 92m:47092 

Englisch, Harald (with Kirsch, Werner; Schroder, Manfred; Simon, Barry) Random 
Hamiltonians ergodic in all but one direction. 92a:47058 

Griesinger, Regina Decompositions of L¢ and Hj’? with respect to the operator rot. 
92g:47072 

IVin, V. A. see Barnovska, M., 92m:47089 

Ivrii, V. Ya. Precise specirai asymptotics for Schrédinger and Dirac operators with strong 
magnetic field. 92g:47073 

Karwowski, Witold see Brasche, J. F., 92j:47093 

Kenzhebaeva, M.S. (with Turmukhambetov, D. N.) Estimates for the s-numbers of 
a nonselfadjoint Schrédinger operator. (Russian. English and Kazakh summaries) 
92k:47093 

Kirsch, Werner see Englisch, Harald; et al., 92a:47058 

Kostyuchenko, A. G. see Boimatov, K. Kh., 92a:47057; 92d:47063 and 92i:47055 

Kovalenko, V. F. (with Semenov, Yu. A.) Criteria for m-accretive closability of a second- 
order linear elliptic operator. (Russian) 92i:47057 

Kozlov, Viadimir Arkad’evich (with Maz'ya, V.G.) On the spectrum of an operator pencil 
generated by the Neumann problem in a cone. (Russian) 92m:47093 

— (with Rossmann, Jiirgen) On the behaviour of the spectrum of parameter-dependent 
operators under small variation of the domain and an application to operator pencils 
generated by elliptic boundary value probl in acone. 92m:47095 

— On the spectrum of a pencil generated by the Dirichlet problem for an elliptic equation in 
an angle. (Russian) 92m:47094 

Krupkin, P. L. On the spectrum of a pencil of compact operators. (Russian) 

Makin, A.S. Riesz means of bi-orthogonal expansions in root functions of nonselfadjoint 
extensions of the Schrédinger operator. (Russian) 92m:47096 

Maz'ya, V.G. see Kozlov, Viadimir Arkad’evich, 92m:47093 

Nizhnik, L. P. (with Taraborkin, L. A.) Selfadjoint operators generated by nonhomoge- 
neous elliptic problems with discontinuous boundary conditions and conjugation condi- 
tions. (Russian. Ukrainian summary) 92e:47085 

Popescu, Emil Sur les sémi-groupes de Feller et les opérateurs pseudo-différentiels. [On 
Feller semigroups and pseudodifferential operators] 92m:47097 

Popov, I. Yu. Integral equations in a model of apertures of zero width. (Russian) 92h:47068 





47F Partial differential operators 


47F05 


— Theory of extensions and the localization of resonances for domains of trap type. 
(Russian) 92k:47094 

Rossmann, Jiirgen see Kozlov, Viadimir Arkad’evich, 92m:47095 

Schréder, Manfred see Englisch, Harald; et al., 92a:47058 

Semenov, Yu. A. see Kovalenko, V. F., 92i:47057 

Simon, Barry see Englisch, Harald; et al., 92a:47058 

Taraborkin, L. A. see Nizhnik, L. P., 92e:47085 

Turmukhambetov, D. N. see Kenzhebaeva, M. S., 92k:47093 

Virabyan, G. V. Operator pencils generated by the Poincaré problem. (Russian. English and 
Armenian summaries) 92m:47098 

Watanabe, Kazuo Smooth perturbations of the selfadjoint operator |A|*/?._ 92j:47094 

Wong, M. W. The spectra of the Laplacian. 92f:47050 

Xu, Zhen Yuan' A function theory for the operator D — A. 92b:47074 


Items with secondary classifications in 47F05 


Ahner, John F. (with Wiener, Howard W.) On an exterior Laplace equation problem with 
Robin boundary condition. 92¢:35063 

Aktosun, Tuncay (with van der Mee, C. V. M.) Wiener-Hopf factorization in multidimen- 
sional inverse Schrédinger scattering. 92g:35163 

Alber, H.-D. Uniform L2-asymptotics of the scattering amplitude in the high frequency 
limit. (Russian summary) 92m:35195 

Albrecht, Ernst (with Ricker, Werner J.) Local spectral properties of constant coefficient 
differential operators in L?(R”). 92b:47048 

Alexopoulos, Georges La conjecture de Kato pour des opérateurs différentiels elliptiques, a 
coefficients périodiques. (English summary) [Kato’s conjecture for second-order elliptic 
differential operators with periodic coefficients] 92d:35082 

Altin, Abdullah Hobson’s theorem for ultrahyperbolic operators. 92k:35174 

Amdebrhan, Tewodros An integral inequality for a class of elliptic operators of fourth order. 
(Italian summary) 92k:35078 

Arrieta, José M. (with Hale, Jack K.; Han, Qing) Eigenvalue problems for non-smoothly 
perturbed domains. 92£:35110 

Bafiuelos, Rodrigo Intrinsic ultracontractivity and eigenfunction estimates for Schrédinger 
operators. 92k:35066 

Barkar’,S.M. On the spectrum of a boundary value probl 
(Russian. English and Moldavian summaries) 92i:47054 

Bastys, Algirdas J. Divergence almost everywhere of Riesz means of spectral expansions 
in eigenfunctions of the Laplace operator. (Russian. English and Lithuanian summaries) 
92a:35121 

Belleni-Morante, Aldo The free streaming operator in asymmetric Sobolev spaces. 
92j:47138 

Ben-Artzi, M. (with Devinatz, Allen) Local smoothing and convergence properties of 
Schrédinger type equations. 92k:35064 

Berger, Ginter Different eigenvalue asymptotics for Dirichlet and Neumann boundary 
conditions of elliptic operators of second order in some irregular domains. 92g:35161 

Binding, P. A. (with Browne, Patrick J.; Huang, Yin Xi; Picard, Rainer H.) On eigencurves 
of elliptic boundary value problems. 92j:35138 

Birman, M. Sh. (with Solomyak, M. Z.) Interpolation estimates for the number of negative 
eigenvalues of a Schroedinger operator. 92¢e:35115 

— (with Solomyak, M. Z.) Negative discrete spectrum of the Schroedinger operator with 
large coupling constant: a qualitative discussion. 92j:35136 

— (with Solomyak, M. Z.) Estimates for the number of negative eigenvalues of the 
Schrédinger operator and its generalizations. (see 92g:35153) 

— Discrete spectrum in the gaps of a continuous one for perturbations with large coupling 
constant. (see 92g:35153) 

— (with Raikov, George D.) Discrete spectrum in the gaps for perturbations of the magnetic 
Schrédinger operator. (see 92g:35153) 

— (with Karadzhov, Georgi E.; Solomyak, M. Z.) Boundedness conditions and spectrum 
estimates for the operators b(X )a(D) and their analogs. (see 92g:35153) 

— (with Solomyak, M. Z.) The estimates for the number of negative bound states of the 
Schrédinger operator for large coupling constants. 92g:35159 

— see also Estimates and asymptotics for discrete spectra of integral and differential equations, 
92g:35153 

Boimatov, K. Kh. On the asymptotics of the eigenvalues of nonselfadjoint elliptic systems in 
arbitrary domains of finite measure. (Russian) 92b:35112 

— Multidimensional spectral asymptotics for elliptic operators in domains that satisfy the 
cone condition. (Russian) 92j:35140 

— Multidimensional spectral asymptotics for elliptic differential operators. (Russian) 
925:35139 

Bolley, Pierre (with Camus, Jacques; Métivier, Guy) Vecteurs analytiques réduits et 
analyticité. (English summary) [Reduced analytic vectors and analyticity] 92c:35003 

Bondioli, Cristiana Iterates of singular differential operators and ultradifferentiable 
functions. I, II. (Italian. English summary) 92g:47080 

Branson, Thomas P. (with Orsted, Bent) Explicit functional determinants in four 
dimensions. 92b:58238 

Braun, Riidiger W. (with Meise, Reinhold; Vogt, Dietmar) Applications of the projective 
limit functor to convolution and partial differential equations. 92b:46119 

Brown, Russell M. The trace of the heat kernel in domains with nonsmooth boundaries. 
(see 92m:00047) 

Browne, Patrick J. see Binding, P. A.; et al., 92j:35138 

Brummelhuis, R. (with Uribe, Alejandro) A semi-classical trace formula for Schrédinger 
operators. 92¢:35085 

Buslaev, A. P. (with Tikhomirov, V.M.) The spectra of nonlinear differential equations and 
widths of Sobolev classes. (Russian) 92f:46036 

Camus, Jacques see Bolley, Pierre; et al., 92c:35003 

Cardoso, Fernando (with Petkov, Vesselin M.; Stoyanov, Luchezar N.) Singularities of the 
scattering kernel for generic obstacles. 92i:35073 

Chait, Yossi see MacCluer, C. R., 92:35015 

Cheremshantsev, S. E. Averaged wave operators in the problem of scattering by a Brownian 
particle. (Russian) 92b:35116 

Chipot, Michel (with Vergara-Caffarelli,G.) A remark on G-convergence for nonsymmetric 





in the open right half-plane. 





47F05 


operators. (Italian summary) 92g:35058 

Colin de Verdiére, Yves Sur les singularités de van Hove génériques. [On generic van Hove 
singularities] 92h:35160 

Colzani, Leonardo Riesz means of eigenfunction expansions of elliptic differential operators 
on compact manifolds. (Italian summary) 92b:58232 

— (with Travaglini, Giancarlo) Estimates for Riesz kernels of eigenfunction expansions of 
elliptic differential operators on compact manifolds. 92i:58176 

Davies, E. B. * Heat kernels and spectral theory. 92a:35035 

Davis, Burgess Intrinsic ultracontractivity and the Dirichlet Laplacian. 92k:35065 

De Biévre, S. (with Pravica, D. W.) Spectral analysis for optical fibres and stratified fluids. 
I. The limiting absorption principle. 92e:35114 

Derezitiski, Jan Exponential bounds in cones for eigenfunctions of N-body Schrédinger 
operators. II. 92g:35154 

Deuring, Paul Addendum: “An integral operator related to the Stokes system in exterior 
domains” [Math. Methods Appl. Sci. 13 (1990), no. 4, 323-333; MR 91i:35151]. 

Devinatz, Allen (with Moeckel, Richard; Rejto, Peter) A limiting absorption principle for 
Schrédinger operators with von Neumann-Wigner type potentials. 92f:35051 

— see also Ben-Artzi, M., 92k:35064 

van Diejen, J. F. (with Tip, A.) Scattering from generalized point interactions using 
selfadjoint extensions in Pontryagin spaces. 92e:81028 

Dubrovskii, V. V. see Sadovnichii, V. A.’, 92h:35161 

Dutta, Shyamal Kumar see Sen, Rabindranath, 92m:81307 

Egorov, Yurii Viadimirovich (with Kondrat'ev, V. A.) The negative spectrum of an elliptic 
operator. (Russian) 92d:35209 

Eidus, D. The perturbed Laplace operator in a weighted L?-space. 92k:35061 

Evans, William Desmond (with Lewis, Roger T.; Saitd, Yoshimi) Some geometric spectral 
properties of N-body Schrédinger operators. 92h:35166 

— (with Lewis, Roger T.; Saitd, Yoshimi) Eigenvalue properties of nonisotropic Schrédinger 
operators with applications. (see 92m:00046) 

Faierman, Mel An oblique derivative problem involving an indefinite weight. 92a:35044 

— (with Mennicken, Reinhard) An elliptic boundary value problem depending nonlinearly 
upon the eigenvalue parameter. 92k:35212 

Filippov, E. see Ivrii, V. Ya.; et al., 92e:35116 

Friedlander, Leonid On the spectrum of the periodic problem for the Schrédinger operator. 
92i:35092a 

— Erratum to: “On the spectrum of the periodic problem for the Schrédinger operator”. 
92i:35092b 

Froese, R. (with Hislop, Peter D.; Perry, Peter A.) A Mourre estimate and related bounds 
for hyperbolic manifolds with cusps of nonmaximal rank. 92h:58198 

Gadoev, M. G. Spectral asymptotics of degenerate systems of differential operators. 
(Russian. Tajiki summary) 92a:35123 

Garofalo, Nicola Unique continuation for degenerate elliptic equations. (see 92m:00047) 

Geba, Leszek (with Pruszko, Tadeusz) Some applications of minimax and topological 
degree to the study of the Dirichlet problem for elliptic partial differential equations. 
92m:35072 

Georgiev, Vladimir S. Uniform boundedness of the energy for time-periodic potentials. 
92:47008 

Gérard, Christian Complétude asymptotique des systémes 4 N corps a courte portée 
(d’aprés I. M. Sigal et A. Soffer). [Asymptotic completeness of short-range N-body 
systems (after I. M. Sigal and A. Soffer)] 92c:81218 

— The Mourre estimate for regular dispersive systems. (French summary) 92¢:81280 

Ghoreishi, Afshin see Li, Lige, 92b:35053 

Giga, Yoshikazu see Yoshida, Zensho, 92a:35120 

Goldberg, Maxim J. A functional calculus for a scalar perturbation of 9/0z. 92k:46060 

Golovatyi, Yu. D. (with Nazarov, S. A.; Oleinik, O. A.) Asymptotic expansions of eigenval- 
ues and eigenfunctions of problems on oscillations of a medium with concentrated pertur- 
bations. (Russian) 92b:35113 

Graf, Gian Michele The Mourre estimate in the semiclassical limit. 92d:81143 

Gramchev, Todor Powers of Mizohata type operators in Gevrey classes. (Italian summary) 
924:35072 

Guidetti, Davide On elliptic problems in Besov spaces. 92:35056 

Gunson, Jack Inequalities in mathematical physics. 92h:82002 

Gurarie, David 2-sphere Schrédinger operators with odd potentials. 92e:58218 

— (with Kalisch, Gerhard; Kon, Mark A.; Landesman, Edward) Radial bounds for 
Schrédinger operators in Euclidean domains. (see 92f:34057) 

Hale, Jack K. see Arrieta, José M.; et al., 92f:35110 

Han, Qing see Arrieta, José M.; et al., 92f:35110 

Hempel, Rainer (with Herbst, Ira W.; Hinz, Andreas M.; Kalf, Hubert) Intervals of dense 
point spectrum for spherically symmetric Schrédinger operators of the type —A + cos |x]. 
92£:35109 

Herbst, Ira W. (with Zhao, Zhong Xin) Sobolev spaces, Kac-regularity, and the Feynman- 
Kac formula. 92i:46037 

— Spectral and scattering theory for Schrédinger operators with potentials independent of 
|x|. 92k:35069 

— (with Skibsted, Erik) Time-dependent approach to radiation conditions. 92k:47140 

— (with Pitt, L.D.) Diffusion equation techniques in stochastic monotonicity and positive 
correlations. 92f:60130 

— see also Hempel, Rainer; et al., 92f:35109 

Hinz, Andreas M. see Hempel, Rainer; et al., 92f:35109 

Hislop, Peter D. (with Martinez, André) Scattering resonances of a Helmholtz resonator. 
92k:35170 

— see also Froese, R.; et al., 92h:58198 

Holley, Richard A. (with Kusuoka, Shigeo; Stroock, Daniel W.) Asymptotics of the spectral 
gap with applications to the theory of simulated annealing. 92d:60081 

Horvath, Miklés The vibration of a membrane in different points. 92j:35108 

Howland, James S. Spectral concentration for dense point spectrum. 92b:35107 

— A note on spectral concentration for nonisolated eigenvalues. 92g:47013 

Huang, Yin Xi see Binding, P. A.; et al., 92j:35138 

Hughes, Rhonda J. (with Kon, Mark A.) Norm group convergence for singular Schrédinger 
operators. (French summary) 92m:35057 


OPERATOR THEORY 


1992 


Ikawa, Mitsuru On the poles of the scattering matrix. (Japanese) 92b:35117 

Ikebe, Teruo (with Shimada, Shin-ichi) Spectral and scattering theory for the Schrédinger 
operators with penetrable wall potentials. 92b:35108 

IVin, Viadimir Aleksandrovich The Riesz basis property for systems of root vector functions 
for a discontinuous Schrédinger operator with matrix potential. (Russian) 92k:35197 

Ishchanov, B. Zh. Nonclosed singular sets fer weak solutions of linear differential equations. 
(Russian) (see 92i:00016) 

Ivrii, V. Ya. (with Kachalkina, A.) Spectral asymptotics with highly accurate remainder 
estimates. (see 92c:00015) 

— (with Filippov, E.; Kachalkina, A.) Precise spectral asymptotics. 92e:35116 

Iwatsuka, Akira Essential selfadjointness of the Schrédinger operators with magnetic fields 
diverging at infinity. 92b:35045 

Jensen, Arne? (with Ozawa, Tohru) Classical and quantum scattering for Stark Hamiltoni- 
ans with slowly decaying potentials. (French summary) 92f:81223 

— (with Yajima, Kenji) On the long range scattering for Stark Hamiltonians. 92h:81185 

Johnson, Gerald W. * Existence theorems for the analytic operator-valued Feynman 
integral. 92g:46052 

Jung, Hartmut * Zur Zeitasymptotik von Wellenausbreitungs- und Warmeleitungsp 
in inhomogenen Medien. (German) [On the time asymptotics of wave propagation and 
heat conduction processes in inhomogeneous media] 92b:35031 

Kachalkina, A. see Ivrii, V. Ya.; et al., 92e:35116 and (92c:00015) 

Kalenyuk, P. I. (with Nitrebich, Z.N.) A multiparameter analogue of the M. V. Keldysh 
system that determines chains of eigen- and associated vectors of operator pencils 
associated with operator-differential equations. (Russian) 92c:47018 

Kalf, Hubert see Hempel, Rainer; et al., 92f:35109 

Kalisch, Gerhard see Gurarie, David; et al., (92f:34057) 

Kamimura, Yutaka An expansion formula for spectral functions. 92d:47036 

Karadzhov, Georgi E. see Birman, M. Sh.; et al., (92g:35153) 

Karpeshina, Yu. E. Perturbation theory for Schroedinger operator with a periodic potential. 
92m:35191 

— Perturbation theory for the Schrédinger operator with periodic potential. (Russian) 
92:35052 

Kato, Tosio (with Yajima, Kenji) Dirac equations with moving nuclei. (French summary) 
92i:81041 

Khryashchév, S. V. Discrete spectrum for a periodic Schroedinger operator perturbed by a 
decreasing potential. 92f:34078 

— On the discrete spectrum of a perturbed periodic Schrédinger operator. (Russian. English 
summary) 92h:35168 

Kiselev, A. A. (with Popov, I. Yu.) Higher moments in a zero-width aperture model. 
(Russian. English summary) 92m:35050 

Kitada, Hitoshi Asymptotic completeness of N-body wave operators. I. Short-range 
quantum systems. 92k:81227 

— Asymptotic completeness for N-body long-range quantum systems. 92k:47019 

Klimek, Slawomir (with Lesniewski, Andrzej) A Golden-Thompson inequality in supersym- 
metric quantum mechanics. 92i:81072 

Kochubei, A. N. Selfadjoint extensions of Schroedinger operators with singular potentials. 
92e:47081 

— An operator of Schrédinger type over the p-adic number field. (Russian. English 
summary) 92¢:47082 

Kon, Mark A. see Hughes, Rhonda J., 92m:35057 and Gurarie, David; et al., (92f:34057) 

Kondrat'ev, V. A. see Egorov, Yurii Viadimirovich, 92d:35209 

Kordyukov, Yu. A. L’-theory of elliptic differential operators on 
geometry. 92f:58164 

Kozlov, Viadimir Arkad'evich (with Maz'ya, V.G.) On the spectrum of an operator pencil 
generated by the Dirichlet problem in acone. 92i:35045 

Kusuoka, Shigeo see Holley, Richard A.; et al., 92d:60081 

Landesman, Edward see Gurarie, David; et al., (92f:34057) 

Laptev, A. A. (with Safarov, Yu. G.) Error estimate in the generalized Szegé theorem. 
92j:35141 

Lesniewski, Andrzej see Klimek, Stawomir, 92i:81072 

Levendorskii, S. Z. The asymptotics of the spectrum of operators that are elliptic in the 
sense of Douglis-Nirenberg. (Russian) 92a:35124 

Lévy-Bruhl, Pierre Spectre d’opérateurs de Schrédinger avec potentiel et champ magnétique 
polynomiaux. [Spectrum of Schrédinger operators with polynomial potential and 
magnetic field] 92i:35038 

Lewis, John L. (with Murray, Margaret A. M.) Regularity properties of commutators and 
layer potentials associated to the heat equation. 92¢:35052 

Lewis, Roger T. see Evans, William Desmond; et al., 92h:35166 and (92m:00046) 

Li, Lige (with Ghoreishi, Afshin) On positive solutions of general nonlinear elliptic 
symbiotic interacting systems. 92b:35053 

Lyashenko, A. A. On the completeness of the system of generalized eigenfunctions of an 
operator generated by the first boundary value problem for the S. L. Sobolev equation. 
(Russian) 92j:35135 

Maagli, H. Perturbation des résolvantes et des semi-groupes par une mesure signée. 
[Perturbation of resolvents and semigroups by a sign measure] 92k:47028 

MacCluer, C. R. (with Chait, Yossi) Choosing an inner product that separates variables. 
92:35015 

Malamud, M. M. Boundary value problems for Hermitian operators with gaps. (Russian) 
92¢:47028 

Martinez, André see Hislop, Peter D., 92k:35170 

Matsumoto, Hiroyuki? Classical and nonclassical eig ue asymptotics for magnetic 
Schrédinger operators. 92b:35114 

Maz’'ya, V.G. see Kozlov, Viadimir Arkad’evich, 92i:35045 

van der Mee, C. V.M. see Aktosun, Tuncay, 92g:35163 

Meftah, Mokhtar Conditions suffisantes pour la compacité de la résolvante d’un opérateur 
de Schrédinger avec un champ magnétique. [Sufficient conditions for the compactness of 
the resolvent of a Schrédinger operator with a magnetic field] 92h:35196 

Meise, Reinhold (with Taylor, B. A.; Vogt, Dietmar) Partial differential operators with 
continuous linear right inverse. 92b:46122 

— (with Taylor, B. A.; Vogt, Dietmar) Characterization of the linear partial differential 





ifolds of b eat 

















795 1992 


operators with constant coefficients that admit a continuous linear right inverse. (French 
summary) 92¢:46083 

— see also Braun, Ridiger W.; et al., 92b:46119 

Melin, Anders On functions of the Schrodinger operator and a trace formula. 92j:35132 

Mennicken, Reinhard see Faierman, Mel, 92k:35212 

Métivier, Guy see Bolley, Pierre; et al., 92c:35003 

Metvalli, A. A. Uniform convergence of spectral expansions of a singular elliptic operator. 
(Russian. Uzbek summary) 92g:35158 

Miyazaki, Yéichi Domains of square roots of regularly accretive operators. 92¢:47045 

Moeckel, Richard see Devinatz, Allen; et al., 92f:35051 

Mohamed, Abdérémane (with Nourrigat, J.) Encadrement du N(A) pour un opérateur de 
Schrédinger avec un champ magnétique et un potentiel électrique. [Two-sided estimation 
of N(A) for a Schrédinger operator with a magnetic field and an electric potential] 
92a:35122 

Moiseev, E. I. The basis property of eigenfunctions of a nonlocal boundary value probl 
(Russian) 92h:35164 

Mokhtar-Kharroubi, Mustapha W'/ regularity in transport theory. 92k:47138 

Mauratbekov, M. B. Separability of an operator of mixed type and the completeness of its 
root vectors. (Russian) 92k:35199 

Murray, Margaret A. M. see Lewis, John L., 92¢:35052 

Mustyatsa, I. V. The Vandermonde operator of a quasi-elliptic operator pencil. (Russian. 
English and Moldavian summaries) 92g:47017 

Najman, B. Resolvent estimates for singularly perturbed elliptic operators. (Serbo-Croatian 
summary) 92¢:35017 

Nakamura, Shu! Semiclassical resolvent estimates for the barrier top energy. 92k:81037 

Nazarov, S. A. see Golovatyi, Yu. D.; et al., 92b:35113 

Neidhardt, Hagen Some remarks on the scattering theory for dissipative Schroedinger 
operators. 92f:47009 

Newton, Roger G. Wiener-Hopf factorization of the S matrix. 92g:47010 

Nicaise, Serge Differential equations in Hilbert spaces and applications to boundary value 
problems in nonsmooth domains. 92a:35051 

Nitrebich, Z. N. see Kalenyuk, P. I., 92c:47018 

Nourrigat, J. see Mohamed, Abdérémane, 92a:35122 

Okazawa, Noboru Sectorialness of second order elliptic operators in divergence form. 
92b:35048 

Oleinik, O. A. Spectral properties of operators singularly depending on parameters and 
applications to mathematical physics. 92e:47128 

— see also Golovatyi, Yu. D.; et al., 92b:35113 

Oppenheimer, Seth F. An abstract spectral approximation theorem from the theory of 
semigroups. 92m:47140 

Orochko, Yu. B. A problem in function theory and the essential selfadjointness of powers of 
operators. (Russian. Ukrainian summary) 92c:47026 

@rsted, Bent see Branson, Thomas P., 92b:58238 

Ozawa, Shin Fluctuation of spectra in random media. II. 92j:35133 

Ozawa, Tohru Invariant subspaces for the Schrédinger evolution group. (French summary) 
92g:81206 

— Space-time behavior of propagators for Schrédinger evolution equations with Stark effect. 
92i:35039 

— Nonexistence of wave operators for Stark effect Hamiltonians. 92d:35215 

— see also Jensen, Arne”, 92f:81223 

Papanicolaou, Vassilis G. Almost periodic potentials in higher dimensions. 92m:35061 

Pascu, Mihai N. Asymptotic completeness of the wave operators for simply characteristic 
operators and long-range potentials by Enns’ method. 924:35216 

Perry, Peter A. see Froese, R.; et al., 92h:58198 J 

Petkov, Vesselin M. Péles de la matrice de diffusion pour des perturbations captives. [Poles 
of the scattering matrix for bound perturbations] 92k:35208 

— see also Cardoso, Fernando; et al., 92i:35073 

Picard, Rainer H. see Binding, P. A.; et al., 92j:35138 

Pickett, Douglas Scattering theory for hyperbolic equations of order 2m. 92m:47016 

Pitt, L. D. see Herbst, Ira W., 92f:60130 

Podlipenko, Yu. K. Boundary value problems for the Helmholtz equation in certain domains 
with infinite boundaries. (Russian) 92a:35045 

Popov, I. Yu. The extension theory and the opening in semitransparent surface. 92k:35063 

— see also Kiselev, A. A., 92m:35050 

Pravica, D. W. see De Bievre, S., 92¢:35114 

Pruszko, Tadeusz see Geba, Leszek, $2m:35072 

Radkevich, E. V. The spectrum of the pencil of a two-phase Stefan problem. (Russian) 
92¢:35127 

Raikov, George D. Eigenvalue asymptotics for the Schrédinger operator with homogeneous 
magnetic potential and decreasing electric potential. I. Behaviour near the essential 
spectrum tips. (French summary) 92b:35115 

— The spectrum of a linear magnetohydrodynamic model with cylindrical symmetry. 
92j:76107 

— Semiclassical and weak-magnetic-field eigenvalue asymptotics for the Schrédinger 
operator with electromagnetic potential. 92i:35095 

— Strong electric field eigenvalue asymptotics for the Schrédinger operator with electromag- 
netic potential. 92k:81031a 

— Errata: “Strong electric field eigenvalue asymptotics for the Schrédinger operator with 
electromagnetic potential”. 92k:81031b 

— see also Birman, M. Sh., (92g:35153) 

Ramm, A. G. * Random fields estimation theory. 92g:00012 

Rejto, Peter see Devinatz, Allen; et al., 92f:35051 

Ricker, Werner J. see Albrecht, Ernst, 92b:47048 

Robinson, Derek W. * Elliptic operators and Lie groups. 92m:58133 

Rofe-Beketov, F.S. Selfadjointness of elliptic operators and estimates of energy type over 
the whole R". I. Second-order. (Russian) 92g:35056 

Sabziev, E.N. Asymptotic distribution of eigenvalues for differential operators of variable 
order. (Russian. English and Azerbaijani summaries) 92c:35089 

Sadovnichii, V. A.’ (with Dubrovskii, V. V.) A formula for the first regularized trace of the 
Laplace-Beltrami operator with potential. (Russian) 92h:35161 














_ 47F Partial differential operators 


Safarov, Yu. G. see Laptev, A. A., 92j:35141 

Saité, Yoshimi see Evans, William Desmond; et al., 92h:35166 and (92m:00046) 

Schiavone, S. E. Fractional powers of the retarded potential. 92h:47019 

Seeger, Andreas Endpoint estimates for multiplier transformations on compact manifolds. 
921:58166 

Sen, Rabindranath (with Dutta, Shyamal Kumar) On the existence of an eigenfunction of 
the Hartree operator of the helium atom by the fixed point principle. 92m:81307 

Serra Cassano, Francesco An extension of G-convergence to the class of degenerate elliptic 
operators. (Italian) 92a:35070 

Shimada, Shin-ichi see Ikebe, Teruo, 92b:35108 

Shkalikov, A. A. (with Shkred, A. V.) A problem on steady oscillations of a transversally 
isotropic half-cylinder. (Russian) 92j:47140 

Shkred, A. V. Letter to the editors: “Linearization of spectral problems with a parameter 
in a boundary condition, and properties of derivatives of M. V. Keldysh’s chains” [Mat. 
Zametki 46 (1989), no. 4, 99-109; MR 91m:35172]. (Russian) 92d:35220 

— see also Shkalikov, A. A., 92j:47140 

Shubin, M. A. Weak Bloch property and weight estimates for elliptic operators. 92f:58167 

Shulman, V.S. Multiplication operators and spectral synthesis. (Russian) 92f:47016 

Simon, Barry Fifty years of eigenvalue perturbation theory. 92b:47018 

(Sjéstrand, Johannes) see Shubin, M. A., 92f:58167 

Skibsted, Erik Propagation estimates for N-body Schroedinger operators. 92i:47093 

— see also Herbst, Ira W., 92k:47140 

Skubachevskii, A. L. The method of cut-off functions in the theory of nonlocal problems. 
(Russian) 92k:35055 

— On the stability of index of nonlocal elliptic problems. 92m:58128 

Smirnov, Yu. G. The method of operator pencils in boundary value problems of conjugation 
for a system of elliptic equations. (Russian) 92m:35073 

Sobolev, Aleksandr Vladimirovich (with Yafaev,D.R.) On the effective bounds for the total 
scattering cross-section. 92h:81187 

Solomyak, M. Z. see Birman, M. Sh., 92e:35115; 92g:35159; 92j:35136; (92g:35153) and 
(92g:35153) 

Steinig, Bernhard On the essential maximality of linear operators in a Hilbert space. 
92j:47011 

Stoyanov, Luchezar N. see Cardoso, Fernando; et al., 92i:35073 

Stroock, Daniel W. see Holley, Richard A.; et al., 924:60081 

Tachizawa, Kazuya Asymptotic distribution of eigenvalues of Schrédinger operators with 
nonclassical potentials. 92a:35125 

Tamura, Hideo Propagation estimate for N-body quantum systems. 92¢:81220 

— Asymptotic completeness for N-body Schrédinger operators with short-range interactions. 
92h:35169 

— The Efimov effect of three-body Schrédinger operators. 92¢:81225 

— Asymptotic completeness for three-body Schrédinger operators with short-range 
interactions. 92a:81216 

Taylor, B. A. see Meise, Reinhold; et al., 92b:46122 and 92¢:46083 

Tayoshi, Takao Nonexistence of positive eigenvalues of the Schrédinger operator in a 
domain with unbounded boundary. 92h:35162 

Tervo, Jouko On equality of minimal and maximal realizations. 92h:47077 

Teta, Alessandro Quadratic forms for singular perturbations of the Laplacian. 92g:35027 

Thangavelu, S. Riesz transforms and the wave equation for the Hermite operator. 
92e:35012 

Tikhomirov, V.M. see Buslaev, A. P., 92f:46036 

Tip, A. see van Diejen, J. F., 92e:81028 

Travaglini, Giancarlo see Colzani, Leonardo, 92i:58176 

Tyurin, K.1I. Extremal properties of eigenvalues of the Laplace operator on a ball. (Russian) 
92j:35137 

Uribe, Alejandro see Brummelhuis, R., 92c:35085 

Vainberg, B. R. Scattering by periodically moving obstacles. (Russian) 92h:35175 

Vergara-Caffarelli, G. see Chipot, Michel, 92g:35058 

Vespri, Vincenzo Analytic semigroups generated by ultraweak operators. 92j:47074 

Vodev, G. Polynomial bounds on the number of scattering poles for symmetric systems. 
(French summary) 92j:81349 

Vogt, Dietmar see Braun, Riidiger W.; et al., 92b:46119; Meise, Reinhold; et al., 92b:46122 
and 92e:46083 

Weder, Ricardo Characterization of the scattering data in multidimensional inverse 
scattering theory. 92g:35167 

— Generalized limiting absorption method and multidimensional inverse scattering theory. 
92g:35168 

White, D. A. W. The Stark effect and long range scattering in two Hilbert spaces. 92e:35123 

White, Gregory B. Splitting of the Dirac operator in the nonrelativistic limit. (French 
summary) 92a:81031 

Wiener, Howard W. see Ahner, John F., 92e:35063 

Wong, M. W. Minimal and maximal operator theory with applications. 92f:47003 

Wu, Shao Ping On the surjectivity of the almost linear operator and its applications. 
92k:47128 

Wiiller, Ulrich Geometric methods in scattering theory of the charge transfer model. 
92k:35070 

Yafaev, D. R. On the asymptotics of scattering phases for the Schrédinger equation. (French 
summary) 92b:35118 

— Asymptotics of limit phases in a problem of potential scattering. (Russian) 92a:35127 

— On solutions of the Schrédinger equation with radiation conditions at infinity. (see 
92g:35153) 

— see also Sobolev, Aleksandr Vladimirovich, 92h:81187 

Yajima, Kenji see Jensen, Arne”, 92h:81185 and Kato, Tosio, 92i:81041 

Yamamoto, Kazuhiro Scattering theory and spectral representations for general wave 
equations with short range perturbations. 92j:35144 

— The behavior of the analytically continued resolvent operator near x = 0 and an 
application to energy decay. 92j:35134 

Yoshida, Zensho (with Giga, Yoshikazu) Remarks on spectra of operator rot. 92a:35120 

Zaretskaya, M. A. On the spectrum of quadratic operators that are different from normal 
ones. (Russian) 92b:35110 





47F05 


Zhao, Zhong Xin see Herbst, Ira W., 92i1:46037 
Ziemian, Bogdan Mean value theorems for linear and semi-linear rotation invariant 
operators. 92b:35017 


Items listed otherwise than by author 


Estimates and asymptotics for discrete spectra of integral and differential equations 
* Estimates and asymptotics for discrete spectra of integral and differential equations. 
92g:35153 

Leningrad * Estimates and asymptotics for discrete spectra of integral and differential 
equations. 92g:35153 


Mathematical Physics * Estimates and asymptotics for discrete spectra of integral and 
differential equations. 92g:35153 


47Gxx Integral, integro-differential, and 
pseudodifferential operators 


47G10 Integral operators [see also 45P05] 


Abdullaev, S. K. (with Vasil/ev, V. B.) Regularization of multidimensional singular integral 
equations over a domain in weighted Hélder spaces. (Russian) (see 92f:45001) 

Airapetyan, G.M. On the boundedness of some integral operators. (Russian. Armenian 
summary) 92h:47069 

Bardaro, Carlo (with Vinti, Gianluca) Modular estimates of integral operators with 
homogeneous kernels in Orlicz type classes. 92¢:47057 

Bojarski, Bogdan Singular integral equations. 92j:47095 

Bubakar, Silla see Kilbas, A. A., 92m:47099 

Budylin, A.M. (with Buslaev, V.S.) Reflection operators and their applications to 
asymptotic investigations of semiclassical integral equations. (see 92g:35153) 

Buslaev, V.S. see Budylin, A. M., (92g:35153) 

Dadiomov, V. M. On spaces generated by the zeros of the symbol of some singular integral 
equations. (Russian) 92¢:47086 

Drekova, G. V. (with Kravchenko, V.G.) Dimension and structure of the kernel and 
cokernel of a singular integral operator with linear-fractional Carleman shift and 
conjugation. (Russian) 92e:47087 

Duduchava, R. V. (with Shargorodskii, E.M.) Some singular integral operators with fixed 
singularities. (Russian. English summary) 92h:47070 

Dzhangibekov, G. Noethericity and the index of a class of two-dimensional singular integral 
operators. (Russian) 92f:47051 

— Aclass of two-dimensional singular integral operators. (Russian) 92g:47074 

— Noethericity and index of some two-dimensional singular integral operators. (Russian) 
92i:47058 

— Some two-dimensional singular integral operators with a shift. (Russian) 92c:47058 

Gordeev, S. R. On the index and homotopy classification of Noether operators with a finite 
group of shifts. (Russian) 924:47065 

Gradskii, S. M. Matrix singular integral operators with infinite index. II. (Russian) 
925:47096 

Han, Yan Bin Positive definite kernels in the class H? and their eigenvalues. (Chinese) 
92c:47059 

— Singular numbers and eigenvalues of H? kernels. (Chinese) 92e:47088 

Kadushin, V. P. On the approximate solution of singular integral equations with complex- 
conjugate unknowns and with monotone operators. (Russian) 92e:47089 

Kang, Joo Ho On the unicellularity of Volterra-type integral operators. 92a:47059 

Karlovich, Yu. I. (with Kravchenko, V. G.; Litvinchuk, G. S.) On the Noethericity and 
Mikhlin symbols of operators of the type singular integral operators with shift type. 
(Russian. English and German summaries) 92g:47075 

Khimshiashvili, G. N. On the homotopy structure of invertible singular operators. (see 
924:30002) 

Kilbas, A. A. (with Bubakar, Silla) Smoothness of integral operators with power- 
logarithmic kernels. (Russian. English summary) 92m:47099 

Kiyasov, S. N. Factorization of some second-order matrix functions. (Russian) (see 
92e:00010) 

Kracht, Manfred W. (with Kreyszig, Erwin) On singular integral operators and generaliza- 
tions. 92f:47052 

Kravchenko, V.G. (with Shaev, A. K.) Normalization of singular integral equations with 
Carleman shift. (Russian) 92¢:47090 

— (with Shaev, A. K.) The theory of the solvability of singular integral equations with 
fractional-linear Carleman shift. (Russian) 92b:47075 

— (with Litvinchuk, G. S.) Noether theory of unbounded singular integral operators with 
Carleman shift. (Russian) 92c:47060 

— see also Drekova, G. V., 92e:47087 and Karlovich, Yu. L.; et al., 92g:47075 

Kreyszig, Erwin see Kracht, Manfred W., 92f:47052 

Krupnik, N. Ya. The conditions of selfadjointness of the operator of singular integration. 
92g:47076 

Kuznetsov, Sergei Viadimirovich On the discreteness of the spectrum of singular integral 
operators in elasticity theory. (Russian) 92g:47077 

Little, Graham Equivalences of positive integral operators with rational kernels. 92m:47100 

Litvinchuk, G.S. see Kravchenko, V. G., 92c:47060 and Karlovich, Yu. 1.; et al., 92g:47075 

Lomakovich, A. N. see Zabreiko, P. P., 92c:47063 

(Loud, W.S.) see Rejto, Peter, 92h:47072 

Maksimova, O. D. Integral operators with infinite matrix kernels. (Russian) 924:47066 

Mzhaviya, G. M. Bisingular integral equations with complex conjugation. (Russian. English 
summary) 92e:47091 

Nyaga, V.I. Noethericity criteria for singular integral equations with linear-fractional shift 
in the space L}. (Russian) 92h:47071 


Oinarov, R.O. An estimate for a norm of an integral operator. (Russian. Kazakh summary) 
92b:47076 


OPERATOR THEORY 


1992 796 


Pilidi, V.S. Criteria for the uniform invertibility of regular approximations of one- 
dimensional singular integral operators with piecewise-continuous coefficients. (Russian) 
92b:47077 

— Uniform invertibility of strong approximations of one-dimensional singular integral 
operators with piecewise-continuous coefficients on the axis. (Russian) 92g:47078 

— Justification of the singularity excision method for bisingular integral operators with 
continuous coefficients. (Russian) 92e:47092 

— A priori estimates for bisingular operators with continuous coefficients. (Russian) 
92c:47061 

Poletaev, G.S. The paired equation of convolution type with kernels from different Banach 
algebras. (Russian. Ukrainian summary) 92i:47059 

Reade, J. B. Eigenvalues of smooth positive definite kernels. 92m:47101 

Rejto, Peter (with Taboada, Mario) Weighted resolvent estimates for Volterra operators on 
unbounded intervals. 92h:47072 

Roch, Steffen (with Silbermann, Bernd) * Algebras of convolution operators and their 
image in the Calkin algebra. 92d:47067 

Rong, Er Qian The resolution and Noether properties of hypersingular integral operators. 
92h:47073 

Sagher, Yoram (with Siadat, M. Vali; Zhou, Ke Cheng) Norm inequalities for integral 
operators on cones. 92f:47053 

Samko, N.G. The singular operator and operators with a weak singularity in weighted 
generalized Hélder spaces. (Russian) 92g:47079 

Saté, Hiroshi! Nuclearity of a nonnegative definite integral kernel on a separable metric 
space. 92k:47095 

Schulze, Horst On singular integral operators on weighted Hoelder spaces. 92h:47074 

Sedletskii, A.M. The rate of decrease of eigenvalues of a Fredholm operator. (Russian) 
92c:47062 

Shaev, A. K. see Kravchenko, V. G., 92b:47075 and 92¢:47090 

Shargorodskii, E.M. see Duduchava, R. V., 92h:47070 

Siadat, M. Vali see Sagher, Yoram; et al., 92f:47053 

Silbermann, Bernd see Roch, Steffen, 924:47067 

Soldatov, A. P. * OgHomepubie CHHryApHbie ONepaTopbi A KpaeBbie 3aa4H TeopHH PyHKuHH. 
(Russian) [One-dimensional singular operators and boundary value problems in function 
theory] 92i:47060 

Spitkovskii, I. M. (with Tashbaev, A.M.) Factorization of certain piecewise constant 
matrix functions and its applications. 92i:47061 

Stepanov, V. D. On the boundedness of linear integral operators on a class of monotone 
functions. (Russian) 92m:47102 

Taboada, Mario see Rejto, Peter, 92h:47072 

Taha, T.S. Applications of the Jacobian elliptic functions in operator theory. 92k:47096 

Tashbaev, A. M. see Spitkovskii, I. M., 92i:47061 

Tervo, Jouko On realizations and positivity of linear integral operators. 92k:47097 

Timerbaev, M. R. Measurability of kernels of vector integral operators. (Russian) (see 
92d:28002) 

Vasil’ev, V. B. On the index of multidimensional singular integral operators. (Russian) (see 
92£:45001) 

— see also Abdullaev, S. K., (92f:45001) 

Vasilevskii, N. L. Nonclassical singular integral operators and algebras generated by them. 
(see 92a:00039) 

Vinti, Gianluca see Bardaro, Carlo, 92c:47057 

Wang, Chuan Rong The algebra of singular integral operator with doubly periodic kernel. 
92d:47068 

Zabreiko, P. P. (with Lomakovich, A. N.) Volterra integral operators in spaces of functions 
of two variables. (Russian. Ukrainian summary) 92¢:47063 

Zhou, Ke Cheng see Sagher, Yoram; et al., 92f:47053 


Items with secondary classifications in 47G10 

Abdullaev, F. A. Solution of a nonlinear singular integral equation by the method of 
successive approximations. (Russian) (see 92f:45001) 

Aliev, I. A. (with Gadzhiev, A.D.) Weighted estimates for singular integrals generated by 
the generalized shift operator. (Russian) 92g:42006 

(Babaev, Arif Aligeidarovich) see Singular integral operators, 92f:45001 

Barbulescu, I. see Rogculet, Marcel N. 

Bardaro, Carlo (with Vinti, Gianluca) On approximation properties of certain nonconvolu- 
tion integral operators. 92¢:41016 

— (with Vinti, Gianluca) Some estimates of integral operators with respect to the multidi- 
mensional Vitali ®-variation, and applications in fractional calculus. (Italian summary) 
92k:26050 

Berezhnoi, E.1. Weighted inequalities of Hardy type in general ideal spaces. (Russian) 
92k:47057 

Bil'‘man, B. M. (with Dzhangibekov, G.) Some systems of two-dimensional singular integral 
equations. (Russian) 92i:45003 

Béttcher, Albrecht (with Silbermann, Bernd) * Analysis of Toeplitz operators. 92e:47001 

Brislawn, Chris Traceable integral kernels on countably generated measure spaces. 
92k:47042 

Buyukliev, Nikolay P. On the C*-algebras of multivariable Wiener-Hopf operators. 
92c:47028 

Chang, Der-Chen E. Estimates for singular integral operators with mixed type homo- 
geneities in Hardy classes. 92c:46022 

Chen, Jie Cheng see Wang, Si Lei; et al., 92c:42016 

Chen, Tian Ping (with Zhang, De Zhi) A new description of H?(R") and the boundedness 
of C-Z operators on all H’(R") (p <r< 1). 92¢:42012 

Cherskii, Yu. I. Extremal problems for a Noether operator. (Russian) 92¢:47014 

Christ, Michael * Lectures on singular integral operators. 92f:42021 

Cobos, Fernando (with Janson, Svante; Kiihn, Thomas) On the optimal asymptotic 
eigenvalue behaviour of weakly singular integral operators. 92¢:45001 

Corduneanu, C. * Integral equations and applications. 92h:45001 

David, Guy René (with Voiculescu, Dan) s-numbers of singular integrals for the invariance 
of absolutely continuous spectra in fractional dimensions. 92f:47014 

— * Wavelets and singular integrals on curves and surfaces. 92k:42021 








797 1992 


Din’ Khoang An’ Factorization of a certain G-transform in weighted L,-spaces and its 
application to the solution of integral equations. (Russian. English summary) 92j:44002 

Duan, Yan Zheng (with Wu, Cong Xin) Continuity and complete continuity of a kind of 
nonlinear operators in Fenchel-Orlicz spaces. 92b:47112 

Dzhangibekov, G. A problem of linear conjugation of solutions to elliptic systems of 
differential equations with singular coefficients in the plane. (Russian) 92h:35063 

— see also Biman, B. M., 92i:45003 

Fekete, Otto On some second order integral operators and Hardy classes. 

— On some univalent integral operators. 92m:30018 

Fujii, Nobuhiko A condition for a two-weight norm inequality for singular integral 
operators. 92k:42022 

Gacki, Henryk (with Lasota, Andrzej) Markov operators defined by Volterra type integrals 
with advanced argument. 924:47044 

Gadzhiev, A. D. see Aliev, I. A., 92g:42006 

Grudskii, S. M. Convolution equations on a finite interval with a small parameter 
multiplying the growing part of the symbol. (Russian) 92¢:47039 

Guliev, V.S. Boundedness of singular integral operators on the Heisenberg group in 
weighted generalized-Hélder and weighted Lp-spaces. (Russian) 92f:22014 

Han, Yong Sheng (with Sawyer, Eric T.) Para-accretive functions, the weak boundedness 
property and the 7b theorem. 92b:46041 

Hofmann, Steve Weighted inequalities for commutators of rough singular integrals. 
924:42009 

Hoppe, Wolfram (with Krupnik, N. Ya.) Some counterexamples to a hypothesis connected 
with the local values of the essential norm of operators of local type. 92b:47042 

Janson, Svante see Cobos, Fernando; et al., 92c:45001 

Jiang, Hui Ming Weighted-BMO and the Hilbert transform. 92h:42016 

Jiang, Qing Tang Fractional integral operators on product spaces. (Chinese. English 
summary) 92h:42033 

Karapetyants, N. K. (with Samko, S. G.) * YpapHeHua Cc HHBOTIOTHBHBIMH ONepaTopaMH H 
HX NpasoxeHHA. (Russian) [Equations with involutive operators and their applications] 
92m:47020 

— (with Murdaev, Kh. M.; Yakubov, A. Ya.) The isomorphism realized by fractional 
integrals in generalized Hélder classes. (Russian) 92c:26006 

— Weighted estimates for the Hardy operator. (Russian) 92b:47044 

Knopf, Peter M. L” and Sobolev space mapping properties of the Szegé operator for the 
polydisc. 92d:47045 

Kokilashvili, V. M. Fractional integrals on curves. (Russian. English summary) 92f:26011 

Kreyszig, Erwin Bergman-Vekua theory in differential form. 92i:35030 

Krupnik, N. Ya. see Hoppe, Wolfram, 92b:47042 

Kiihn, Thomas see Cobos, Fernando; et al., 92c:45001 

Kuijper, A. B. A note on first kind convolution equations on a finite interval. 92g:47033 

Kulagina, M. F. Almost periodic solutions of characteristic singular equations on the line. 
(Russian) (see 92e:00010) 

Kuleshov, A. A. Linear integral equations of the third kind in weighted L» spaces. II. 
(Russian) 92a:45001 

Lasota, Andrzej see Gacki, Henryk, 92d:47044 

Levinskii, S. V. A boundary value problem for functions that are polyanalytic in some 
multiply connected domains. (Russian) 92a:30038 

Loskot, Krzysztof (with Rudnicki, Ryszard) Sweeping of some integral operators. (Russian 
summary) 92f:47030 

Luchko, Yu. F. (with Yakubovich, S. B.) Generating operators and convolutions for some 
integral transformation. (Russian. English summary) 92h:44007 

Lukashenko, T. P. Properties of maximal convolution operators. (Russian) 92h:42017 

Macias, R. A. (with Torrea Hernandez, José Luis) Boundedness of singular integrals on 
non-necessarily normalized spaces of homogeneous type. 92f:42023 

Makarov, B. M. Characterization of universally regular operators and operators with regular 
commutators. (Russian) 92¢:47039 

Meda, Stefano (with Pini, Rita) Spherical convolution with kernels having singularities on 
an equator. (Italian summary) 92j:42017 

Michel, Joachim An asymptotic formula for the Bergman projection on a certain class of 
domains in C. 92h:30071 

Mironova, S. R. Properties of a singular integral in weighted Hélder spaces. (Russian) 
92i:42006 

Mokin, Yu. I. Spectral equivalence of matrices of difference schemes for two-dimensional 
integral equations of potential theory. (Russian) 92i:65202 

Murdaev, Kh. M. see Karapetyants, N. K.; et al., 92c:26006 

Mynbaev, K.T. Approximate solution of a Fredholm integral equation of the second kind in 
a multidimensional domain. (Russian) 92h:65201 

Nguyén Hong Thai The theory of semimoduli of infra-semi-units in ideal spaces of vector 
functions and its applications to integral operators. (Russian) 92h:46050 

Nguyén Van Mau Characterization of polynomials in algebraic elements with commutative 
coefficients and its applications. (Polish summary) 92k:47004 

Novitskii, I. M. Reduction of linear operators in L to integral form with smooth kernels. 
(Russian) 92m:47061 

Pan, Yi Biao L* boundedness of oscillatory integral operators. 92g:42008 

— Hardy spaces and oscillatory singular integrals. 92e:42009 

Pandey, J. N. (with Singh, Om Prakash!) On the p-norm of the truncated n-dimensional 
Hilbert transform. 924:44009 

Pasenchuk, A. E. Invertibility of abstract paired operators in Hilbert spaces. (Russian) 
92b:47036 

Pilidi, V.S. Uniform invertibility of regular approximations of one-dimensional singular 
integral operators with noncompact perturbations. (Russian) 92a:65351 

Pini, Rita A multiplier theorem for H-type groups. 92i:43003 

— see also Meda, Stefano, 92j:42017 

Poletaev, G.S. An abstract analogue of a dual equation of convolution type in a ring with a 
factorization pair. (Russian. Ukrainian summary) 92k:47037 

Porter, David (with Stirling, David S.G.) * Integral equations. 92d:45001 

Pulyaev, V. F. On an interconnection between the Noethericity of linear operators and their 
restrictions. (Russian) 92b:47016 

Roch, Steffen Local algebras of Toeplitz operators on /?”. 92f:47019 


47G Integral, integro-differential, and pseudodifferential operators 


47G20 


Rogculet, Marcel N. (with Barbulescu, I.) Integral operators that generalize differential 
equations. XIV. Hyperbolic partial differential equations. (Romanian. French summary) 

Rudnicki, Ryszard see Loskot, Krzysztof, 92f:47030 

Rzaev, R. M. On the differentiability of some singular integrals. (Russian) (see 92:45001) 

— A multidimensional singular integral operator in spaces defined by conditions on mean 
oscillation of functions. (Russian) 92¢:42015 

Samko, S.G. Hypersingular integrals and differences of fractional order. (Russian) 
92g:26009 

— see also Karapetyants, N. K., 92m:47020 

Sawyer, Eric T. see Han, Yong Sheng, 92b:46041 

Saxe, Karen Interpolation and spectra of regular L’-space operators. 92e:47055 

Seifullaev, R. K. On the action of a multidimensional singular integral operator over a 
domain in generalized Hélder spaces. (Russian) (see 92f:45001) 

Shargorodskii, E. M. Singular integral operators with coefficients in P,C. (Russian. English 
summary) 92e:47043 

Shopolov, N. N. A class of linear integral operators of Fredholm type. (Bulgarian. English 
and Russian summaries) 

Silbermann, Bernd see Béttcher, Albrecht, 92e:47001 

Singh, Om Prakash! see Pandey, J. N., 92d:44009 

Siudut, Stanislaw On the Fatou type convergence of abstract singular integrals. 92k:42024 

Stepanov, V. D. Two-weight estimates for Riemann-Liouville integrals. (Russian) 
92b:44006 

— Integral operators on the cone of monotone functions and embeddings of Lorentz spaces. 
(Russian) 92e:47056 

Stirling, David S.G. see Porter, David, 92d:45001 

Torrea Hernandez, José Luis see Macias, R. A., 92f:42023 

Urbina, Wilfredo O. On singular integrals with respect to the Gaussian measure. 92d:42010 

Vinti, Gianluca see Bardaro, Carlo, 92¢:41016 and 92k:26050 

Voiculescu, Dan see David, Guy René, 92f:47014 

Vreugdenhil, R. Spectral theory of selfadjoint Wiener-Hopf operators with rational symbols. 
924:47039 

Wang, Si Lei (with Chen, Jie Cheng) Some notes on square function operators. (Chinese) 
92c:42016 

Wilson, J. Michael Some two-parameter square function inequalities. 92m:26014 

Wa, Cong Xin see Duan, Yan Zheng, 92b:47112 

Yakubov, A. Ya. see Karapetyants, N. K.; et al., 92c:26006 

Yakubovich, S. B. see Luchko, Yu. F., 92h:44007 

Zhang, De Zhi see Chen, Tian Ping; et al., 92c:42012 

Zolotarevskii, V. A. * KoneaHoMepHbie MeTOLbI pellleHHa CHHTYIAPHBIX HHTeTpasIbHbIX 
ypaBHeHHA Ha 3AMKHYTBIX KOHTypax HHTerpHposanna. (Russian) [Finite-dimensional 
methods for solving singular integral equations on closed integration contours] 
92h:45019 


Items listed otherwise than by author 


CBMS Regional Conference Series in Mathematics see Christ, Michael, 92f:42021 
Singular integral operators * Cunrynapubie HHTerpambHbie OnepaToppi. (Russian) [Singular 
integral operators] 92f:45001 


47G20 Integro-differential operators [see also 45J05, 45K05] 


Didenko, V. D. Para-algebras and approximate solution of singular integro-differential 
equations. (Russian) 92h:47075 

Gomilko, A. M. (with Radzievskii, G. V.) Equiconvergence of series in eigenfunctions of 
ordinary functional-differential operators. (Russian) 92f:47054 

Kesel/‘man, G. M. Regularized traces of a second-order functional-differential operator. 
(Russian) 92b:47078 

Kozhukhar’, P. A. A Hardy-type inequality and the absence of eigenvalues in an integral- 
difference operator. (Russian. English and Moldavian summaries) 92i:47062 

Radzievskii, G. V. see Gomilko, A. M., 92f:47054 

Sin‘ko, G. I. On the spectral theory of a second-order integro-differential operator. (Russian) 
92h:47076 


Items with secondary classifications in 47G20 


Aliev, R.G. Normal solvability of a functional-differential equation with operator 
coefficients in a Hilbert space. (Russian) 92m:34181 

Arlotti, Luisa A perturbation theorem for positive contraction semigroups on L'-spaces 
with applications to transport equations and Kolmogorov’s differential equations. 
924:47055 

Burton, T. A. (with Zhang, Bo') Periodic solutions of abstract differential equations with 
infinite delay. 92¢:34085 

Chistyakov, Aleksandr Vladimirovich Properties of a class of noncompact operators. 
(Russian) 92f:47026 

Derfel’, G. A. Kato problem for functional-differential equations and difference Schrédinger 
operators. 92g:34093 

Drekova, G. V. see Vitrichenko, E. E. 

Eremin, M.S. Transformation operators in the disk of solutions of some nonlinear integro- 
differential equations. (Russian) 92c:47036 

Gomilko, A. M. (with Radzievskii,G. V.) Asymptotics with respect to the parameter of 
solutions of linear functional-differential equations. (Russian. Ukrainian summary) 
92c:34090 

— (with Radzievskii, G. V.) Basis properties of eigenfunctions of a regular boundary value 
problem for a vector functional-differential equation. (Russian) 92f:34058 

Gusarenko, S. A. The generalized Volterra property and its applications to a linear 
functional-partial differential equation. (Russian) (see 91¢:34070) 

Ivanov, S. A. (with Korneev, V.G.) The problem of heat radiation of a shell taking into 
account interior reflection. (Russian) 92g:80004 

Korneev, V.G. see Ivanov, S. A., 92g:80004 

Kurbatov, V.G. * JIuneftubie nudtepennuanbHo-pa3zHocTubie ypabHenua. (Russian) [Linear 
differential-difference equations] 92k:34082 





47G20 


Lando, Yu. K. Restrictions of an operator by orthogonality conditions imposed on its graph. 


(Russian) 92g:47003 

Lé Quang Trung On a noncoercive problem for singular integro-differential equations. 
(Russian) 92k:35086 

Makin, R.S. On the spectrum of a stationary single-velocity transport equation with 
boundary conditions of reflection type. (Russian) 92b:82112 

Priiss, Jan Maximal regularity of linear vector-valued parabolic Volterra equations. 
92b:47115 

Radzievskii, G. V. see Gomilko, A. M., 92c:34090 and 92f:34058 

Sforza, Daniela Parabolic integrodifferential equations with singular kernels. 92k:45028 

Shteingol‘d, S. D. Smoothness of generalized solutions of boundary value problems for 
functional-differential equations. (Russian) 92k:34086 

Tsuruta, Kunio Wellposedness and resolvent operators of linear Volterra integro-differential 
equations in a Banach space. 92g:47102 

Vitrichenko, E. E. (with Drekova, G. V.) Some projection methods for solving singular 
integro-differential equations in the exceptional case. (Russian) 

Viasov, V. V. On the solvability of a class of functional-differential equations on the semi- 
axis and some spectral problems. (Russian) 92m:47156 

Yang, Ming Zhu (with Yao, Ai Xiang) On the spectrum of the transport operator for a 
bounded convex body. 92h:47102 

Yao, Ai Xiang see Yang, Ming Zhu; et al., 92h:47102 

Zhang, Bo' see Burton, T. A., 92¢:34085 


47G30 Pseudodifferential operators [see also 35Sxx, 58G15] 


Agliardi, Rossella Fourier integral operators of infinite order on 9 fe ae )) with an 
application to a certain Cauchy problem. 92¢:47093 

Andreev, Aleksandr Sergeevich Estimates for the spectrum of compact pseudodifferential 
operators in unbounded domains. (Russian) 92d:47069 

Banta, Valeriu On the L?-boundedness of a class of Fourier integral operators with 
singularities. 92a:47060 

Birman, M. Sh. (with Karadzhov, Georgi E.; Solomyak, M. Z.) Boundedness conditions 
and spectrum estimates for the operators b(X)a(D) and their analogs. (see 92g:35153) 

Bondioli, Cristiana Iterates of singular differential operators and ultradifferentiable 
functions. I, II. (Italian. English summary) 92g:47080 

El Houakmi, Z. (with Helffer, B.) Comportement semi-classique en présence de symétries: 
action d’un groupe de Lie compact. (English summary) [Semiclassical behavior in the 
presence of symmetries: action of a compact Lie group] 92m:47103 

Grubb, Gerd (with Kokholm, Niels Jorgen) Calcul symbolique et estimations L, pour les 
problémes aux limites pseudo-différentiels paramétrisés. (English summary) [Symbolic 
calculus and L, estimates for parameter-dependent pseudo-differential boundary 
problems] 92a:47061 

Helffer, B. (with Kerdelhué, P.; Sjéstrand, Johannes) Le papillon de Hofstadter revisité. 
(English summary) [Hofstadter’s butterfly revisited] 92b:47079 

— see also El Houakmi, Z., 92m:47103 

Ito, Masato Remarks on Fredholm Fourier integral operators. 92g:47081 

Jang, Lee-Chae Some properties of hypoelliptic pseudodifferential operators. 

Karadzhov, Georgi E. see Birman, M. Sh.; et al., (92g:35153) 

Kerdelhué, P. see Helffer, B.; et al., 92b:47079 

Kokholm, Niels Jargen see Grubb, Gerd, 92a:47061 

Marschall, Jiirgen Weighted parabolic Triebel spaces of product type. Fourier multipliers 
and pseudo-differential operators. 92m:47104 

McLean, William Local and global descriptions of periodic pseudodifferential operators. 
92£:47055 

Rempaia, Jan A. On a proof of the boundedness and nuclearity of pseudodifferential 
operators in R". 92b:47080 

Schulze, Bert-Wolfgang Topologies and invertibility in operator spaces with symbolic 
structures. 92b:47081 

Sjéstrand, Johannes see Helffer, B.; et al., 92b:47079 

Sohrab, Houshang H. Normal solvability criteria for certain pseudo-differential operators 
with nontemperate symbols. 92b:47082 

Solomyak, M. Z. see Birman, M. Sh.; et al., (92g:35153) 

Tervo, Jouko On global regularity and solvability of linear pseudo-differential equations. 
92¢:47064 

— On equality of minimal and maximal realizations. 92h:47077 

Wong, M. W. * An introduction to pseudo-differential operators. 92b:47083 

Zaidman, Samuel * Distributions and pseudo-differential operators. 92g:47082 


Items with secondary classifications in 47G30 


Agliardi, Rossella Pseudo-differential operators of infinite order on 9999") and 
applications to the Cauchy problem for some elementary operators. (Italian summary) 
92m:35286 

Baskakov, A.G. Wiener’s theorem and asymptotic estimates for elements of inverse 
matrices. (Russian) 92g:47049 

Berhanu, S. (with Chanillo, Sagun) Boundedness of the FBI transform on Sobolev spaces 
and propagation of singularities. 92k:35307 

Boimatov, K. Kh. Distribution of eigenvalues of polynomial pencils of pseudodifferential 
operators on a compact manifold without boundary. (Russian) 92i:58186 

— Spectral asymptotics of nonselfadjoint pseudodifferential operators in bounded domains. 
(Russian) 92k:35202 

— Spectral asymptotics of linear and nonlinear pencils of pseudodifferential operators that 
are elliptic in the Douglis-Nirenberg sense. (Russian) 92m:58141 

Boutet de Monvel, L. Toeplitz operators—an asymptotic quantization of symplectic cones. 
92h:58190 

Boutet de Monvel-Berthier, Anne-Marie (with Georgescu, Vladimir) Locally conjugate 
operators, boundary values of the resolvent and wave operators. (French summary) 
92¢:47013 

Chanillo, Sagun see Berhanu, S., 92k:35307 

D’Agnolo, Andrea (with Zampieri, Giuseppe) Analysis of the action of a pseudodifferential 
operator over (Cox \rgx- 92h:58185 


OPERATOR THEORY 


Dinh Nho Hao see Tran-Di’c Van 

Drin’, Ya. M. see Gorodetskii, V. V., 92k:35308 

Efendiev, M. I. Strictly hyperbolic higher-order equations in L’(R") spaces, 1 < p < +00. 
(Russian) 92¢:35071 

Figol’, V. V. A boundary value problem for equations with pseudodifferential operators. 
(Russian) 924:35322 

Filippov, O.G. Reduction of operators with almost periodic symbols to operators over C*- 
algebras on sections of associated bundles over a torus. 92a:58138 

Georgescu, Vladimir see Boutet de Monvel-Berthier, Anne-Marie, 92c:47013 

Georgiev, Vladimir S. see Kovachev, V. Khr., 92j:58107 

Gorodetskii, V. V. (with Drin’, Ya. M.) Parabolic pseudodifferential equations in spaces of 
generalized periodic functions. (Russian. English summary) 92k:35308 

Grubb, Gerd (with Hérmander, Lars) The transmission property. 92f:58175 

Helffer, B. (with Sjéstrand, Johannes) Semiclassical analysis for Harper’s equation. III. 
Cantor structure of the spectrum. (French summary) 92m:35011 

Hirschmann, Tankred * Pseudo-differential operators and asymptotics on manifolds with 
corners. V. 92h:58192e 

— Functional analysis in cone and edge Sobolev spaces. 92d:58203 

Hérmander, Lars see Grubb, Gerd, 92f:58175 

Hounie, Jorge A class of bounded pseudo-differential operators. 92e:35180 

IVkiv, V.S. (with Polishchuk, V. N.; Ptashnik, B. I.) A nonlocal boundary value problem for 
systems of pseudodifferential equations. (Russian) 92b:35184 

— Perturbations of a nonlocal problem for differential equations with pseudodifferential 
coefficients. (Russian) 92¢e:34037 

Ismagilov, R.S. On the spectrum of a selfadjoint operator in L2(K), where K is a local field; 
an analogue of the Feynman-Kac formula. (Russian. English summary) 92m:47049 

Khimshiashvili, G. N. Homotopies of invertible pseudodifferential operators. (Russian 
summary) 92b:58221 

Kovachev, V. Khr. (with Georgiev, Vladimir S.) A counterpart of the Poincaré group for 
pseudodifferential operators. 92j:58107 

Kracht, Manfred W. (with Kreyszig, Erwin) On singular integral operators and generaliza- 
tions. 92f:47052 

Kreyszig, Erwin see Kracht, Manfred W., 92f:47052 

Lerner, Nicolas Wick-Wigner functions and tomographic methods. 92g:35232 

Levendorskii, S. Z. The algebra of boundary value problems for a class of pseudodifferential 
operators of variable order. (Russian) 92d4:35323 

Makhortov, S. D. Algebra of degenerate pseudodifferential operators. (Russian) (see 
92e:35003) 

Melrose, Richard B. Pseudodifferential operators, corners and singular limits. 92m:58134 

Mourre, E. Remarques sur le caractére algébrique du procédé pseudo-différentiel et de 
certaines de ses extensions. I. (English summary) [Remarks on the algebraic character of 
the pseudodifferential procedure and some of its extensions. I] 92a:58139 

Onneweer, C. W. (with Quek, T.S.) Multipliers on weighted Hardy spaces over locally 
compact Vilenkin groups. II. 92f:43006 

Pan, Yi Biao (with Sogge, Christopher D.) Oscillatory integrals associated to folding 
canonical relations. 92e:58210 

Pandey, J. N. see Singh, Om Prakash!, 92j:46075 

Payne, Kevin R. Smooth tame Fréchet algebras and Lie groups of pseudodifferential 
operators. 92a:58140 

Plamenevskii, B. A. (with Rozenblyum, G. V.) On the index of pseudodifferential operators 
with isolated singularities in the symbols. (Russian) 92h:58188 

Polishchuk, V. N. see Ilkiv, V.S.; et al., 92b:35184 

Popescu, Emil Sur les sémi-groupes de Feller et les opérateurs pseudo-différentiels. [On 
Feller semigroups and pseudodifferential operators] 92m:47097 

Ptashnik, B. I. see I’kiv, V.S.; et al., 92b:35184 

Quek, T.S. see Onneweer, C. W., 92f:43006 

Rozenblyum, G. V. see Plamenevskii, B. A., 92h:58188 

Savchenko, Yu. B. On the solvability of a boundary value problem for some pseudodifferen- 
tial equations. (Russian) 92h:35254 

Schulze, Bert-Wolfgang * Pseudo-differential operators and asymptotics on manifolds with 
corners. I. 92h:58192a 

— * Pseudo-differential operators and asymptotics on manifolds with corners. II. 
92h:58192b 

— * Pseudo-differential operators and asymptotics on manifolds with corners. III. 
92h:58192c 

— * Pseudo-differential operators and asymptotics on manifolds with corners. IV. 
92h:58192d 

— * Pseudo-differential operators and asymptotics on manifolds with corners. VI. 
92h:58193 

— Mellin representations of pseudo-differential operators on manifolds with corners. 
92b:58226 

— * Pseudo-differential operators and asymptotics on manifolds with corners. VIII. 
92g:58127 

— * Pseudo-differential operators and asymptotics on manifolds with corners. VII. 
92h:58194 

— * Pseudo-differential operators and asymptotics on manifolds with corners. IX. 
92i:58187 

Seeger, Andreas (with Sogge, Christopher D.; Stein, Elias M.) Regularity properties of 
Fourier integral operators. 92g:35252 

Singh, Om Prakash! (with Pandey, J.N.) The Fourier-Bessel series representation of the 
pseudo-differential operator (—x~'D)”. 92j:46075 

Sjostrand, Johannes see Helffer, B., 92m:35011 

Sogge, Christopher D. see Pan, Yi Biao, 92e:58210 and Seeger, Andreas; et al., 92g:35252 

Stein, Elias M. see Seeger, Andreas; et al., 92g:35252 

Taniguchi, Kazuo A fundamental solution for a degenerate hyperbolic operator of second 
order and Fourier integral operators of complex phase. 92m:35185 

Taylor, Michael E. * Pseudodifferential operators and nonlinear PDE. 92j:35193 

Tervo, Jouko On the spectra of singularities of Fourier series equations. 92c:47042 

— On realizations and positivity of linear integral operators. 92k:47097 

— On realizations of Fourier series operators. 92¢:47043 








799 1992 47H 


Tran-Du’c Van (with Dinh Nho Hao) Pseudodifferential operators with real analytic 
symbols and approximation methods for pseudodifferential equations. 

Umarov, S. R. An algebra of pseudodifferential operators with variable analytic symbols and 
the well-posedness of the corresponding equations. (Russian) 92g:35251 

— On the well-posedness of systems of pseudodifferential equations with variable analytic 
symbols. (Russian) 92g:35250 

Viadimirov, V.S. On the spectrum of some pseudodifferential operators over the field of p- 
adic numbers. (Russian) 92g:47104 

Wong, M. W. Minimal and maximal operator theory with applications. 92f:47003 

Youssfi, Abdellah Continuité-Sobolev de certains opérateurs paradifférentiels. [Sobolev 
continuity of some paradifferential operators] 92m:42018 

Zampieri, Giuseppe see D’Agnolo, Andrea, 92h:58185 


47G99 None of the above, but in this section 


Chan Khy-u Bong On the Fredholm property for linear differential operators with delay and 
with a small parameter. (Russian. Tajiki summary) 92c:47065 

Kakichev, V. A. Construction of second-order convolutions. (Chinese. English summary) 

Nahmod, Andrea R. Geometry of operators and spectral analysis on spaces of homogeneous 
type. (French summary) 92k:47098 


Items with secondary classifications in 47G99 

Azbelev, N. V. (with Berezanskii, L.M.) Stability of solutions of equations with aftereffect. 
(Russian) 92a:34084 

Berezanskii, L.M. see Azbelev, N. V., 92:34084 

Curto, Raul E. (with Muhly, Paul S.; Xia, Jingbo) Random Toeplitz operators. 92b:47033 

— (with Muhly, Paul S.; Xia, Jingbo) Toeplitz operators on flows. 92b:47032 

Gomilko, A. M. (with Radzievskii, G. V.) Equivalence in L,[0, 1] of the system e'2*** 
(k =0,+1,---) and the system of eigenfunctions of an ordinary functional-differential 
operator. (Russian) 92m:34151 

Lichawski, Kazimierz (with Matkowski, Janusz; Mis, Jerzy) Locally defined operators in the 
space of differentiable functions. (Russian summary) 92e:47123 

Martinez, Ma. Dolores see Martinez Carracedo, Celso; et al., 92d:47024 

Martinez Carracedo, Celso (with Sanz Alix, Miguel A.; Martinez, Ma. Dolores) Some 
inequalities for fractional integrals and derivatives. (Russian) 92d:47024 

Matkowski, Janusz see Lichawski, Kazimierz; et al., 92e:47123 

McIntosh, Alan G. R. (with Qian, Tao) Fourier multipliers on Lipschitz curves. 92k:42019 

Mis, Jerzy see Lichawski, Kazimierz; et al., 92e:47123 

Mabhly, Paul S. see Curto, Rail E.; et al., 92b:47032 and 92b:47033 

Nagase, Michihiro (with Umeda, Tomio) Weyl quantized Hamiltonians of relativistic 
spinless particles in magnetic fields. 92a:81030 

Qian, Tao see McIntosh, Alan G. R., 92k:42019 

Radzievskii, G. V. see Gomilko, A. M., 92m:34151 

Sanz Alix, Miguel A. see Martinez Carracedo, Celso; et al., 92d:47024 

Schneider, Reinhold Bessel potential operators for canonical Lipschitz domains. 92m:46048 

Seeger, Andreas Endpoint estimates for multiplier transformations on compact manifolds. 
92£:58166 

Trimeche, K. Opérateurs de permutation et analyse harmonique associés a des opérateurs 
aux dérivées partielles. [Permutation operators and harmonic analysis associated with 
partial differential operators] 92g:43004 

Umeda, Tomio see Nagase, Michihiro, 92a:81030 

Wang, Jin Ping Singular value decomposition for a class of generalized Radon transforms 
in n-dimensional Euclidean space. (Chinese. English summary) 92h:44004 

Xia, Jingbo see Curto, Raul E.; et al., 92b:47032 and 92b:47033 


47Hxx Nonlinear operators {For global and geometric 
aspects, see 58-XX, especially 58Cxx.} 


Items with secondary classifications in 47Hxx 

Constantin, Gheorghe (with Istratescu, Ioana) * Elements of probabilistic analysis with 
applications. 92g:46097 

(Giurgiutiu, Victor) see Constantin, Gheorghe, 92g:46097 

Istratescu, Ioana see Constantin, Gheorghe, 92g:46097 


47H04 Set-valued operators [see also 28B20, 54C60, 58C06] 


Cardinali, Tiziana (with Papalini, Francesca) Characterization of the lower semicontinuity 
of the boundary of a multifunction in normed spaces. (Italian. English summary) 
92j:47097 

Chen, Yu Qing Surjectivity of mappings of monotone type. (Chinese. English summary) 
92j:47098 

Deguire, Paul Quelques inégalités abstraites. (English summary) [Some abstract inequali- 
ties] 92h:47078 

Dinh Thé Luc (with Vargas-Jarillo, Cristébal) A saddlepoint theorem for set-valued maps. 
92m:47105 

Du, Xu Guang see Zhou, Yu Ying; et al., 92k:47101 

Du’o’ng Trong Nhan On coincidence theorems for set-valued mapping and variational 
inequalities. 92i:47063 

Gastl, G.C. see Sehgal, V. M.; et al., 92h:47080 

Goncharov, V. V. (with Tolstonogov, A. A.) Common continuous selections of multivalued 
mappings with nonconvex values, and their applications. (Russian) 92k:47099 

Izydorek, Marek (with Kucharski, Zygfryd) The Krasnosielski theorem for permissible 
multivalued maps. (Russian summary) 92h:47079 

Kolomy, Josef Resolvents and selections of multivalued mappings and geometry of Banach 
spaces. (see 92m:46004) 

Kucharski, Zygfryd see Izydorek, Marek, 92h:47079 

Papalini, Francesca see Cardinali, Tiziana, 92j:47097 


Nonlinear operators 


47H04 


Sehgal, V.M. (with Singh, Sankatha Prasad; Gastl, G. C.) Ona fixed point theorem for 
multivalued maps. (French summary) 92h:47080 

Singh, Sankatha Prasad see Sehgal, V. M.; et al., 92h:47080 

Tolstonogov, A. A. see Goncharov, V. V., 92k:47099 

Vargas-Jarillo, Cristébal see-Dinh Thé Luc, 92m:47105 

Verona, Andrei (with Verona, Maria Elena) A note on minimal usco maps. 92m:47106 

Verona, Maria Elena see Verona, Andrei, 92m:47106 

Yang, Gan Shan see Zhang, Shi Sheng; et al., 92b:47084 

Zhang, Shi Sheng (with Yang, Gan Shan) Some further generalizations of Ky Fan’s 
minimax inequality and its applications to variational inequalities. (Chinese. English 
summary) 92b:47084 

— (with Zhang, Ying') Generalized KKM theorem and variational inequalities. 92k:47100 

Zhang, Ying! see Zhang, Shi Sheng, 92k:47100 

Zhou, Yu Ying (with Du, Xu Guang) Surjectivity of multivalued mappings and solvability 
of equations. (Chinese. English summary) 92k:47101 


Items with secondary classifications in 47H04 


Attouch, Hédy (with Ndoutoume, James Louis; Théra, Michel) Epigraphical convergence of 
functions and convergence of their derivatives in Banach spaces. 92i:46050 

Ben-El-Mechaiekh, Hichem (with Deguire, Paul) Approximation of nonconvex set-valued 
maps. (French summary) 92d:54058 

— (with Deguire, Paul) General fixed point theorems for nonconvex set-valued maps. 
(French summary) 924:54059 

— General fixed point and coincidence theorems for set-valued maps. 92m:47110 

Borwein, Jonathan M. Minimal CUSCOS and subgradients of Lipschitz functions. (French 
summary) 92j:46077 

Bulgakov, A. I. Continuous selections of multivalued mappings, and functional-differential 
inclusions with a nonconvex right-hand side. (Russian) 92j:54025 

Burke, James V. (with Qi, LiQun) Weak directional closedness and generalized subdiffer- 
entials. 92m:49023 

Canetti, A. (with Marino, Giuseppe; Pietramala, Paolamaria) Fixed point theorems for 
multivalued mappings in Banach spaces. 92g:47084 

Carbone, Antonio Iterative construction of solutions of functional equations involving 
multivalued operators in L? spaces. 92a:47073 

Cardinali, Tiziana Relations between a multifunction and its boundary. (Italian) 
92m:28019 

Chen, Yunkai see Singh, K. L., 92i:47073 

Deguire, Paul see Ben-El-Mechaiekh, Hichem, 92d:54058 and 924:54059 

Ding, Xie Ping (with Lan, Kun Quan) Fixed-point index of uniform limit of set-valued 
strict set-contractive mappings and its applications. (Chinese. English summary) 
92¢:47097 

— Maximal elements of condensing preference maps in localiy convex Hausdorff spaces. 
(Chinese. English summary) 92k:90011 

Fournier, Gilles (with Violette, Donald) La formule de Leray-Schauder pour l’indice d’une 
fonction multivoque continiment différentiable. (English summary) [The Leray-Schauder 
formula for the index of a continuously differentiable multivalued function] 92b:58023 

Gaji¢, Ljiljana see Hadzi¢, Olga; et al., 92d:47075 

Gao, Qi Ju Binary multivalued operators and a fixed-point theory. (Chinese. English 
summary) 

Gavioli, Andrea Approximation from the exterior of a multifunction and its applications in 
the “sweeping process”. 92h:34038 

Goncharov, V. V. (with Tolstonogov, A. A.) Continuous selectors and properties of 
solutions of differential inclusions with m-accretive operators. (Russian) 92h:34122 

Hadii¢, Olga (with Gajié, Ljiljana; Janiak, T.) Fixed point theorems for multivalued 
mappings in topological vector spaces and their applications. 92d:47075 

Horvath, Charles D. Contractibility and generalized convexity. 92f:52002 

Hou, You Liang A general random fixed point theorem for multivalued random operators. 
(Chinese. English summary) 92i:47067 

Hu, Shou Chuan (with Lakshmikantham, V.; Papageorgiou, Nikolaos S.) On the solution 
set of nonlinear evolution inclusions. 92m:34042 

Isac, G. (with Kostreva, M.) Kneser’s theorem and the multivalued generalized order 
complementarity problem. 92k:90102 

Janiak, T. see Hadzié, Olga; et al., 92d:47075 

Kolomy, Josef On accretive multivalued mappings in Banach spaces. 92a:47064 

Kostreva, M. see Isac, G., 92k:90102 

Kryszewski, W. Homotopy invariants for set-valued maps. Homotopy approximation 
approach. (French summary) 92g:55004 

Lahiri, B. K. see Tiwary, Kalishankar, 92g:47089 

Lakshmikantham, V. see Hu, Shou Chuan; et al., 92m:34042 

Lan, Kun Quan see Ding, Xie Ping; et al., 92¢:47097 

Lassonde, Mare Réduction du cas multivoque au cas univoque dans les problémes de 
coincidence. (English summary) [Reduction of the multivalued case to the single-valued 
case in coincidence problems] 92h:47086 

Lee, Sung J. (with Nashed, M. Zuhair) Normed linear relations: domain decomposability, 
adjoint subspaces, and selections. 92h:47003 

Marino, Giuseppe Fixed points for multivalued mappings defined on unbounded sets in 
Banach spaces. 92m:47116 

— see also Canetti, A.; et al., 92g:47084 

Naselli Ricceri, Ornella On the covering dimension of the fixed point set of certain 
multifunctions. 92m:47117 

— Classical solutions of the problem x’ € F (t,x, x’), x(to) = Xo, x’(t) = Yo in Banach 
spaces. 92d:34129 

Nashed, M. Zuhair see Lee, Sung J., 92h:47003 

Ndoutoume, James Louis see Attouch, Hédy; et al., 92i:46050 

Nikol’skii, M.S. Everywhere dense sets in the space C(X, Kv(R")) of continuous multival- 
ued mappings. (Russian) 92h:41068 

Papageorgiou, Nikolaos S. see Hu, Shou Chuan; et al., 92m:34042 

Park, Sehie Fixed points of condensing inward multifunctions. 92¢:47071 

Pietramala, Paolamaria see Canetti, A.; et al., 92g:47084 

Qi, Li Qun see Burke, James V., 92m:49023 





47H04 


Saint-Raymond, Jean Perturbations compactes des contractions multivoques. (English 
summary) [Compact perturbations of multivalued contractions] 92d:47077 

— Points fixes des contractions multivoques. (English summary) [Fixed points of multival- 
ued contractions] 92h:47087 

Shimizu, Makoto On an extension of Minty’s theorem. 92g:47083 

Singh, K.L. (with Chen, Yunkai) Fixed points for nonexpansive multivalued mapping in 
locally convex spaces. 92i:47073 

Szilagyi, Tivadar Existence and Lipschitzian dependence theorems in complete spaces. 
92m:49008 

Théra, Michel see Attouch, Hédy; et al., 92i:46050 

Tiwary, Kalishankar (with Lahiri, B. K.) A generalisation of a fixed point theorem. 
92g:47089 

Tolstonogov, A. A. see Goncharov, V. V., 92h:34122 

Violette, Donald see Fournier, Gilles, 92b:58023 

Viadimirov, A. A. Nonstationary dissipative evolution equations in a Hilbert space. 
92h:47099 

Wang, Fan The Rothe theorem and the Browder-Potter theorem for set-valued K-mappings 
in locally convex spaces. (Chinese. English summary) 92i:47074 

Williamson, Frank U. On equations in Banach spaces involving composition products of 
set-valued mappings. 92k:47119 

Xu, Hong Kun On weakly nonexpansive and *-nonexpansive multivalued mappings. 
92e:54052 

Yang, Shu Lang Several problems concerning K mapping equations. (Chinese) 92b:47105 


47HOS5 Monotone operators (with respect to duality) 


Hadjisawvas, N. (with Kravvaritis, Dimitrios; Pantelidis,G.) On nonlinear monotone 
operators with values in L(X, Y). 92j:47099 

Hassan, Riahi On the maximality of the sum of two maximal monotone operators. 
92a:47062 

Krawvaritis, Dimitrios see Hadjisavvas, N.; et al., 92j:47099 

Pantelidis,G. see Hadjisavvas, N.; et al., 92j:47099 

Shimizu, Makoto On an extension of Minty’s theorem. 92g:47083 

Tossings, P. Convergence variationnelle et opérateurs maximaux monotones d’un espace 
de Hilbert réel. (English summary) [Variational convergence and maximal monotone 
operators on a real Hilbert space] 92¢:47094 

Vesely, Libor A connectedness property of maximal monotone operators and its application 
to approximation theory. 92i:47064 

Webb, J. R. L. (with Zhao, Weiyu) On the maximal monotonicity and the range of the sum 
of nonlinear maximal monotone operators. 92¢:47066 

Zarantonello, Eduardo H. La structure des opérateurs monotones. [The structure of 
monotone operators] 92f:47056 

Zhao, Weiyu see Webb, J. R. L., 92c:47066 


Items with secondary classifications in 47H05 

Attouch, Hédy (with Penot, Jean-Paul; Riahi, Hassan) The continuation method and 
variational convergence. (French summary) 92m:47123 

Bernardi, Marco Luigi (with Pozzi, Gianni Arrigo) On a class of singular nonlinear 
parabolic variational inequalities. (Italian summary) 92m:47136 

Borisovich, Yu.G. A modern approach to the theory of topological characteristics of 
nonlinear operators. II [in Global analysis and nonlinear equations (Russian), 22-43, 
Voronezh. Gos. Univ., Voronezh, 1988; MR 90j:58013]. (see 92b:58001) 

Borwein, Jonathan M. (with Fitzpatrick, Simon; Kenderov, P. S.) Minimal convex uscos 
and monotone operators on small sets. 92j:46078 

Chen, Yu Qing Surjectivity of mappings of monotone type. (Chinese. English summary) 
92j:47098 

Clément, Philippe P. (with Egberts, P.) On the sum of two maximal monotone operators. 
92a:47063 

Ding, Xie Ping Browder-Hartman-Stampacchia variational inequalities for set-valued 
quasimonotone operators. (Chinese. English summary) 92i:49017 

Du, Xu Guang see Zhou, Yu Ying; et al., 92k:47101 

Egberts, P. see Clément, Philippe P., 92a:47063 

Fitzpatrick, Simon see Borwein, Jonathan M.; et al., 92j:46078 

Hokkanen, Veli-Matti An implicit nonlinear time dependent equation has a solution. 
92i:34082 

Kenderov, P.S. see Borwein, Jonathan M.,; et al., 92j:46078 

Konstantinova, Ya. V. (with Liskovets,O. A.) Regularization of equations of the first kind 
with a quasimonotone operator. (Russian. English summary) 92e:47119 

Lavrent'ev, I. M. (with Scepanovi¢, Radoje) On the minimum of weakly regular function- 
als. (Russian. English and Serbo-Croatian summaries) 92m:47146 

Liskovets,O. A. see Konstantinova, Ya. V., 92e:47119 

Namioka, I. see Preiss, David; et al., 92h:46021 

Pavienko, V. N. The method of monotone operators for equations with discontinuous 
nonlinearities. (Russian) 92k:47124 

Penot, Jean-Paul see Attouch, Hédy; et al., 92m:47123 

Phelps, R. R. see Preiss, David; et al., 92h:46021 

Pozzi, Gianni Arrigo see Bernardi, Marco Luigi, 92m:47136 

Preiss, David (with Phelps, R. R.; Namioka, I.) Smooth Banach spaces, weak Asplund 
spaces and monotone or usco mappings. 92h:46021 

Riahi, Hassan see Attouch, Hédy; et al., 92m:47123 

Ryazantseva, I. P. The minimal residual principle in nonlinear monotone problems. 
(Russian) 92£:47068 

Séepanovi¢, Radoje see Lavrent‘ev, I. M., 92m:47146 

Viadimirov, A. A. Nonstationary dissipative evolution equations in a Hilbert space. 
92h:47099 

Zhou, Yu Ying (with Du, Xu Guang) Surjectivity of multivalued mappings and solvability 
of equations. (Chinese. English summary) 92k:47101 


OPERATOR THEORY 1992 800 


47H06 Accretive operators, dissipative operators, etc. 


Chen, Yu Qing see Zhang, Shi Sheng; et al., 92b:47086 

Clément, Philippe P. (with Egberts, P.) On the sum of two maximal monotone operators. 
92a:47063 

Das, Purna C. see Kumar, Rajiv, 92j:47100 

Egberts, P. see Clément, Philippe P., 92a:47063 

Jung, Jong Soo (with Takahashi, Wataru) Dual convergence theorems for the infinite 
products of resolvents in Banach spaces. 92k:47102 

Kolomy, Josef Resolvents and selections of accretive mappings in Banach spaces. 
92b:47085 

— On accretive multivalued mappings in Banach spaces. 92a:47064 

Kumar, Rajiv (with Das, PurnaC.) Perturbation of m-accretive operators in Banach spaces. 
92j:47100 

Kuo, Chung Shéng (with Yao, Jen Chih) Zeros of operators in Banach spaces. 92j:47101 

Takahashi, Wataru see Jung, Jong Soo, 92k:47102 

Yao, Jen Chih see Kuo, Chung Shéng, 92j:47101 

Zhang, Shi Sheng (with Chen, Yu Qing) On the existence of solutions for equations 
with accretive mappings in probabilistic normed spaces. (Chinese. English summary) 
92b:47086 


Items with secondary classifications in 47H06 

Goebel, Kazimierz (with Kirk, W. A.) * Topics in metric fixed point theory. 92c:47070 

Goncharov, V. V. (with Tolstonogov, A. A.) Common continuous selections of multivalued 
mappings with nonconvex values, and their applications. (Russian) 92k:47099 

Kirk, W. A. see Goebel, Kazimierz, 92c:47070 

Kobayashi, Yoshikazu (with Oharu, Shinnosuke) Semigroups of locally Lipschitzian 
operators in Banach spaces. 92d:47088 

Moore, Chika Iterative approximation of the solution to a k-accretive operator equation in 
certain Banach spaces. 92¢:47117 

Morales, Claudio H. Remarks on compact perturbations of m-accretive operators. 
92e:47118 

Oharu, Shinnosuke see Kobayashi, Yoshikazu, 92d:47088 

Tataru, Daniel Time dependent m-accretive operators generating differential evolutions. 
92£:47070 

Tolstonogov, A. A. Properties of integral solutions of differential inclusions with m-accretive 
operators. (Russian) 92k:47127 

— see also Goncharov, V. V., 92k:47099 

Vesely, Libor Accretive metric projections. 92f:41038 


47H07 Monotone and positive operators on ordered Banach 
spaces or other ordered topological vector spaces 


Du, Yi Hong Fixed points of increasing operators in ordered Banach spaces and applica- 
tions. 92f:47057 

Gomes, Sénia M. (with Sprekels, Jiirgen) Krasnosel'skii’s theorem on operators compress- 
ing a cone: application to some singular boundary value problems. 92h:47081 

Hadjisavvas, N. (with Kravvaritis, Dimitrios; Pantelidis, G.) Structural properties of 
nonlinear monotone operators with values in L(X, Y). 92j:47102 

Krawvaritis, Dimitrios see Hadjisawvas, N.; et al., 92j:47102 

Lan, Kun Quan Mixed monotone mappings, increasing mappings and fixed points. (Chinese. 
English summary) 92k:47103 

Mazé6n, José M. (with Segura de Leon, Sergio) Order bounded orthogonally additive 
operators. 92b:47087 

— (with Segura de Le6én, Sergio) Continuity and compactness conditions for Uryson 
operators. 92¢:47067 

Pantelidis,G. see Hadjisavvas, N.; et al., 92j:47102 

Segura de Leén, Sergio see Mazén, José M., 92b:47087 and 92c:47067 

Sprekels, Jiirgen see Gomes, Sénia M., 92h:47081 

Wittmann, Rainer Hopf’s ergodic theorem for nonlinear operators. 92d4:47070 


Items with secondary classifications in 47H07 

Argyros, Ioannis K. (with Szidarovszky, Ferenc) On the monotone convergence of 
algorithmic models. 92m:47134 

Chen, Yong Zhuo Existence theorems of coupled fixed points. 92d:47073 

Dancer, E. N. (with Hess, Peter) Stability of fixed points for order-preserving discrete-time 
dynamical systems. 92i:47088 

Dhage, B.C. A lattice fixed point theorem for multi-valued mappings and applications. 
92b:47091 

Du, Yi Hong The structure of the set of positive solutions of a class of nonlinear eigenvalue 
problems. (Chinese) 92d:47078 

Hadjisavvas, N. (with Kravvaritis, Dimitrios; Pantelidis, G.) On nonlinear monotone 
operators with values in L(X, Y). 92j:47099 

Hess, Peter see Dancer, E. N., 92i:47088 

Krawvaritis, Dimitrios see Hadjisawvas, N.; et al., 92j:47099 

Linke, Yu. E. The problem of the existence of a subdifferential for continuous and compact 
sublinear operators. (Russian) 92j:46080 

Pantelidis,G. see Hadjisavvas, N.; et al., 92j:47099 

Polonskii, Yu. A. General form of the Hahn-Banach-Kantorovich theorem. (Russian) 
92c:46006 

Schréder, Johann Operator inequalities and applications. 92i:26022 

Sun, Yong A fixed point theorem for mixed monotone operators with applications. 
92g:47088 

Szidarovszky, Ferenc see Argyros, Ioannis K., 92m:47134 


47H09 Nonexpansive mappings, and their generalizations 
(ultimately compact mappings, measures of 





1992 


noncompactness, A-proper mappings, K -set contractions, 
etc.) : 


Akhmerov, R. R. (with Kamenskii, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskii, B. N.) 
* Measures of noncompactness and condensing operators. 92k:47104 

Ayerbe Toledano, José M. see Dominguez Benavides, T., 92f:47058 

Bruck, Ronald E. Structure of the approximate fixed-point sets of nonexpansive mappings 
in general Banach spaces. (French summary) 92¢:47095 

Cano, J. A measure of nonconvexity and another extension of Schauder’s theorem. 
92¢:47096 

Crombez, G. Image recovery by convex combinations of projections. 92c:47068 

De Pascale, E. (with Trombetta, G.) Fixed points and best approximations for convexly 
condensing functions in topological vector spaces. (Italian summary) 92h:47082 

Ding, Xie Ping (with Lan, Kun Quan) Fixed-point index of uniform limit of set-valued 
strict set-contractive mappings and its applications. (Chinese. English summary) 
92e:47097 

Djafari Rouhani, Behzad Asymptotic behaviour of almost nonexpansive sequences in a 
Hilbert space. 92a:47065 

Dominguez Benavides, T. (with Ayerbe Toledano, José M.) Set-contractions and ball- 
contractions in L?-spaces. 92f:47058 

Gérnicki, Jarosiaw see Krippel, Manfred, 92m:47107 

Ha, Ki Sik (with Jung, Jong Soo) Convergence of approximants in Banach spaces. 
92£:47059 

Hajnosz, Andrzej (with Wedrychowicz, Stanislaw) A few remarks on Lipschitzian 
mappings. (Russian and Polish summaries) 92¢:47098 

(Iacob, A.) see Akhmerov, R. R.; et al., 92k:47104 

Jung, Jong Soo see Ha, Ki Sik, 92f:47059 

Kamenskii, M. I. see Akhmerov, R. R.; et al., 92k:47104 

Kirk, W. A. (with Massa, Silvio) An ultranet technique in metric fixed point theory. 
92h:47083 

Kosmol, Peter (with Zhou, Xin Long) The product of affine orthogonal projections. 
92b:47088 

Krengel, Ulrich (with Lin, Michael; Wittmann, Rainer) A limit theorem for order 
preserving nonexpansive operators in L;. 92d:47071 

Kriippel, Manfred (with Gérnicki, Jaroslaw) A generalization of Bruck’s inequality for 
nonexpansive mappings. (Russian and Polish summaries) 92m:47107 

Kuczumow, Tadeusz (with Prus, Stanislaw) Compact asymptotic centers and fixed points of 
multivalued nonexpansive mappings. 92h:47084 

— (with Stachura, Adam) Bruck’s retraction method. (French summary) 92f:47060 

Lan, Kun Quan see Ding, Xie Ping; et al., 92e:47097 

Lin, Michael (with Sine, Robert) Retractions on the fixed point set of semigroups of 
nonexpansive maps in hyperconvex spaces. 92¢:47069 

— see also Krengel, Ulrich; et al., 92d:47071 

Liu, Qi Hou A convergence theorem for Ishikawa iterates of continuous generalized 
nonexpansive maps. 

Massa, Silvio see Kirk, W. A., 92h:47083 

Nelson, James L. (with Singh, K. L.; Whitfield, J. H.M.) Normal structures and nonexpan- 
sive mappings in Banach spaces. 92e:47099 

Nussbaum, Roger D. Convergence of iterates of a nonlinear operator arising in statistical 
mechanics. 92j:47103 

Potapov, A.S. see Akhmerov, R. R.; et al., 92k:47104 

Prus, Stanislaw see Kuczumow, Tadeusz, 92h:47084 

Rodkina, A. E. see Akhmerov, R. R.; et al., 92k:47104 

Sadovskii, B. N. see Akhmerov, R. R.; et al., 92k:47104 

Schu, Jiirgen Iterative construction of fixed points of asymptotically nonexpansive 
mappings. 92d:47072 

Sims, Brailey The weak* Karlovitz lemma for dual lattices. 92k:47105 

Sine, Robert see Lin, Michael, 92c:47069 

Singh, K. L. see Nelson, James L.; et al., 92e:47099 

Smarzewski, Ryszard On firmly nonexpansive mappings. 92b:47089 

Stachura, Adam see Kuczumow, Tadeusz, 92f:47060 

Tan, Kok-Keong (with Xu, Hong Kun) The nonlinear ergodic theorem for asymptotically 
nonexpansive mappings in Banach spaces. 92e:47100 

Trombetta, G. see De Pascale, E., 92h:47082 

Wang, Da Qi The structure of the fixed-point set of a nonexpansive mapping of a Hilbert 
space, and its approximation by an iterative sequence of sets. (Chinese) 92m:47108 

Webb, J. R. L. (with Zhao, Weiyu) On connections between set and ball measures of 
noncompactness. 92j:47104 

Wedrychowicz, Stanislaw see Hajnosz, Andrzej, 92e:47098 

Whitfield, J. H.M. see Nelson, James L.; et al., 92e:47099 

Wittmann, Rainer see Krengel, Ulrich; et al., 92d:47071 

Xu, Hong Kun see Tan, Kok-Keong, 92¢:47100 

Zhao, Weiyu see Webb, J. R. L., 92j:47104 

Zhou, Xin Long see Kosmol, Peter, 92b:47088 


Items with secondary classifications in 47H09 

Angelov, Vasil G. j-nonexpansive mappings in uniform spaces and applications. 92g:54057 

Attouch, Hédy (with Penot, Jean-Paul; Riahi, Hassan) The continuation method and 
variational convergence. (French summary) 92m:47123 

Banas, Jézef (with Martinén, Antonio) Some properties of the Hausdorff distance in metric 
spaces. 92h:54039 

— (with El-Sayed, Wagdy Gomaa) Monotonic solutions of a nonlinear Volterra integral 
equation. 92h:45004 

— (with Szynal, Dominik; Wedrychowicz, Stanislaw) On existence, asymptotic behaviour 
and stability of solutions of stochastic integral equations. 92k:60143 

Borisovich, Yu. G. A modern approach to the theory of topological characteristics of 
nonlinear operators. II [in Global analysis and nonlinear equations (Russian), 22-43, 
Voronezh. Gos. Univ., Voronezh, 1988; MR 90j:58013]. (see 92b:58001) 

Carbone, Antonio Some fixed point theorems for densifying maps. (Italian summary) 
92k:47106 


47H Nonlinear operators 


47H09 


Chen, Wen Hu Fixed-point theorems for nonexpansive mappings and pairs of nonexpansive 
mappings. (Chinese. English summary) 

Chen, Yunkai see Singh, K. L., 92i:47073 

Cho, Yeol Je (with Park, K. S.; Park, W. T.; Kim, Jong Kyu) Coincidence point theorems in 
probabilistic metric spaces. 92k:47107 

Coroian, Lia On a theorem of Dieudonné. 92d:34127 

Dhage, B.C. Generalised nonexpansive mappings in Banach spaces. 92a:47067 

Ding, Xie Ping Maximal elements of condensing preference maps in locally convex 
Hausdorff spaces. (Chinese. English summary) 92k:90011 

Dominguez Benavides, T. (with Lopez Acedo, Genaro) Fixed points of asymptotically 
contractive mappings. 92j:47108 

Du, Xu Guang see Zhou, Yu Ying; et al., 92k:47101 and He, Gang; et al., 92k:47109 

El-Sayed, Wagdy Gomaa see Banas, Jézef, 92h:45004 

Gonzalez, Manuel (with Martinén, Antonio) Note on the Hausdorff measure of noncom- 
pactness. 92j:54039 

Gérnicki, Jarosiaw Nonlinear ergodic theorems for asymptotically nonexpansive mappings 
in Banach spaces satisfying Opial’s condition. 92h:47085 

Guo, Da Jun Nonanegative solutions of two-point boundary value problems for nonlinear 
second order integrodifferential equations in Banach spaces. 92b:34075 

Hadiié, Olga A fixed point theorem in a class of random paranormed spaces. (Serbo- 
Croatian summary) 92g:47085 

He, Gang (with Du, Xu Guang) A fixed-point theorem for semidifferentiable K-®- 
contraction mappings in locally convex topological vector spaces. (Chinese. English 
summary) 92k:47109 

Husain, Taqdir (with Latif, Abdul) Fixed points of multivalued nonexpansive maps. 
92k:54056 

— (with Latif, Abdul) f-nonexpansive type maps and fixed points. 

Januszewski, Janusz On the existence of continuous solutions of nonlinear integral 
equations in Banach spaces. 92h:45007 

Jeong, Jae Ug see Park, Jong Yeoul, 92b:47111 

Kaczor, W. Measures of noncompactness and an existence theorem for differential 
equations in Banach spaces. (Polish summary) 92d:47083 

Kim, Jong Kyu see Cho, Yeol Je; et al., 92k:47107 

Kirk, W. A. (with Martinez-Yanez, Carlos) Approximate fixed points for nonexpansive 
mappings in uniformly convex spaces. 92a:47068 

— An application of a generalized Krasnosel'skii-Ishikawa iteration process. (French 
summary) 92e:47107 

Kryszewski, W. An application of A-mapping theory to boundary value problems for 
ordinary differential equations. 92h:34051 

Lan, Kun Quan A coupled fixed-point theorem for condensing mappings. (Chinese. English 
summary) 92j:47111 

Latif, Abdul see Husain, Taqdir, 92k:54056 

Lin, Michael (with Sine, Robert) Contractive projections on the fixed point set of L.. 
contractions. 92h:47012 

Lin, Tzu-Chu Best approximations and fixed points. 924:47076 

Lépez Acedo, Genaro On the topological degree for A-compact mappings. 92g:47090 

— see also Dominguez Benavides, T., 92j:47108 

Ma, Yi Hai see Zhang, Shi Sheng, 92i:47084 

Martinez-Yaiiez, Carlos see Kirk, W. A., 92a:47068 

Martinén, Antonio A system of axioms for measures of noncompactness. (Russian and 
Polish summaries) 92¢:28004 

— see also Bana$, Jézef, 92h:54039 and Gonzalez, Manuel, 92j:54039 

Morales, Claudio H. Strong convergence theorems for pseudo-contractive mappings in 
Banach space. 92f:47063 

Mukherjee, Rathindra Nath! (with Som, Tanmoy; Verma, Vandana) On common fixed 
points of nonlinear mappings in certain Banach lattices. 92e:47109 

Ozdarska, Danuta On the relationship between bounded solutions of linear and quasilinear 
differential equations in Banach spaces. 92i:34086 

Park, Jong Yeoul (with Jeong, Jae Ug) Invariant submeans and semigroups of nonexpansive 
mappings on uniformly convex Banach spaces. 92b:47111 

Park, K.S. see Cho, Yeol Je; et al., 92k:47107 

Park, W.T. see Cho, Yeol Je; et al., 92k:47107 

Penot, Jean-Paul see Attouch, Hédy; et al., 92m:47123 

Prasad, R. K. see Singh, Uday Narayan, 92c:47073 

Precup, Radu Topological transversality, perturbation theorems and second order 
differential equations. 92i:47081 

Rashwan, R. A. Some fixed point theorems for iterates of quasi-nonexpansive mappings in 
locally convex spaces. 92k:47115 

Reich, Simeon Fixed point theory in hyperbolic spaces. (French summary) 92f:54042 

Reichert, Marianne Zusammenhang der Fixpunktmenge bei verdichtenden Volterra- 
Operatoren. [Connectedness of the fixed point set in the case of condensing Volterra 
operators] 92g:47095 

Riahi, Hassan see Attouch, Hédy; et al., 92m:47123 

Saint-Raymond, Jean Perturbations compactes des contractions multivoques. (English 
summary) [Compact perturbations of multivalued contractions] 92d:47077 

Scheutzow, Michael K. R. Erratum: “Periods of nonexpansive operators on finite /;-spaces” 
[European J. Combin. 9 (1988), no. 1, 73-81; MR 89h:28029]. 92a:28013 

Sine, Robert see Lin, Michael, 92h:47012 

Singh, K. L. (with Chen, Yunkai) Fixed points for nonexpansive multivalued mapping in 
locally convex spaces. 92i:47073 

Singh, Uday Narayan (with Prasad, R. K.) Ona 
92c:47073 

Som, Tanmoy see Mukherjee, Rathindra Nath’; et al., 92e:47109 

Szynal, Dominik see Banaé, Jézef; et al., 92k:60143 

Talpalaru, Pavel On periodic solutions of nonlinear differential equations in Banach spaces. 
921:34056 

Verma, Vandana see Mukherjee, Rathindra Nath’; et al., 92¢:47109 

Vijayaraju, Palaniappan A fixed point theorem for a sum of two mappings in reflexive 
Banach spaces. 92m:47121 

Wedrychowicz, Stanislaw see Banas, Jézef; et al., 92k:60143 


pansive mappings in Banach space. 








47H09 


Weng, Xin Long Fixed point iteration for local strictly pseudo-contractive mapping. 
92b:47099 

Wittmann, Rainer Hopf’s ergodic theorem for nonlinear operators. 92d:47070 

k, Kazimierz Hyperbolic geometry in bounded symmetric homogeneous domains 

of J*-algebras. 92j:32120 

Xu, Hong Kun On weakly nonexpansive and *-nonexpansive multivalued mappings. 
92e:54052 

— Existence and convergence for fixed points of mappings of asymptotically nonexpansive 
type. 92h:47089 

Yang, Shu Lang A condensing mapping equation in a Banach space. (Chinese. English 
summary) 92g:47098 

Zhang, Shi Sheng (with Ma, Yi Hai) Coupled fixed points for mixed monotone condensing 
operators and an existence theorem of the solutions for a class of functional equations 
arising in dynamic programming. 92i:47084 

Zhou, Yu Ying (with Du, Xu Guang) Surjectivity of multivalued mappings and solvability 
of equations. (Chinese. English summary) 92k:47101 


47H10 Fixed-point theorems [see also 54H25, 55M20, 58C30] 


Achari, J. see Patil, S. T., 92i:47071 

Alex, H. (with Hahn, Siegfried) On the uniqueness of the fixed point in the Schauder fixed 
point theorem. (Serbo-Croatian summary) 92i:47065 

Assad, N. A. (with Sessa, Salvatore) Involution maps and fixed points in Banach spaces. 
92j:47105 

Azam, Akbar see Beg, Ismat, 92a:47066 and 92m:47109 

Bae, Jong Sook see Park, Sehie, 92k:47114 

Bandyopadhyay, D. see Ganguly, D. K., 92k:47108 

Beg, Ismat (with Azam, Akbar) Existence of fixed points of nonlinear mappings. 
92m:47109 

— (with Azam, Akbar) Fixed point theorems in normed spaces. 92a:47066 

Ben-El-Mechaiekh, Hichem Note on a class of set-valued maps having continuous 
selections. (French summary) 92j:47106 

— General fixed point and coincidence theorems for set-valued maps. 92m:47110 

Camargo, José Luiz Corréa A common fixed point theorem for two operators in locally 
convex spaces. (see 92g:00026) 

— On common fixed points in locally convex topological vector space. 92m:47111 

Canetti, A. (with Marino, Giuseppe; Pietramala, Paolamaria) Fixed point theorems for 
multivalued mappings in Banach spaces. 92g:47084 

Cao, Xu see Wang, Min Zhi; et al. 

Carbone, Antonio Some fixed point theorems for densifying maps. (Italian summary) 
92k:47106 

Chang, Hsiu Yi A general fixed point theorem and applications. 92i:47066 

Chatterjea, S. K. see Sarkar, Asit Kumar, 92m:47118 

Chen, Shu Tao see Khamsi, M. A.; et al., 92b:47092 

Chen, Yong Zhuo Existence theorems of coupled fixed points. 92d:47073 

Chen, Yu Qing see Zhang, Shi Sheng; et al., 92k:47116 

Chen, Yunkai see Singh, K. L., 92i:47073 

Chidume, C. E. Approximation of fixed points of quasi-contractive mappings in L, spaces. 
92¢e:47101 

(Chitra, A.) see Isac, G. 

Cho, Yeol Je (with Park, K. S.; Park, W. T.; Kim, Jong Kyu) Coincidence point theorems in 
probabilistic metric spaces. 92k:47107 

Cirié, Ljubomir B. Fixed point theorems in Banach spaces. 92¢:47102 

Czarnowski, Krzysztof (with Pruszko, Tadeusz) On the structure of fixed point sets of 
compact maps in Bo spaces with applications to integral and differential equations in 
unbounded domain. 92b:47090 

Davies, Roy O. Another version of a common fixed point theorem. 924:47074 

Derrick, W.R. (with NovaG.,L.) Interior properties and fixed points of certain discontinu- 
ous operators. 92j:47107 

Dhage, B.C. Generalised nonexpansive mappings in Banach spaces. 92a:47067 

— A lattice fixed point theorem for multi-valued mappings and applications. 92b:47091 

Ding, Xie Ping see Kong, Wen Bo; et al. 

Dominguez Benavides, T. (with Lopez Acedo, Genaro) Fixed points of asymptotically 
contractive mappings. 92j:47108 

Du, Xu Guang see He, Gang; et al., 92k:47109 

Gajié¢, Ljiljana see Hadzi¢, Olga; et al., 92d:47075 

Galiga, I. Ein gleichgewichtiges Bild mit Fixpunkten. (Russian and Latvian summaries) [A 
balanced landscape with fixed points] 92e:47103 

— The existence of a common fixed point for a commutative family of nonexpansive 
mappings. (Latvian. English and Russian summaries) 92f:47061 

Ganguly, D. K. (with Bandyopadhyay, D.) Some results on fixed point theorem using 
infinite matrix of regular type. 92k:47108 

Gao, Qi Ju Binary multivalued operators and a fixed-point theory. (Chinese. English 
summary) 

Goebel, Kazimierz (with Kirk, W. A.) * Topics in metric fixed point theory. 92c:47070 

Gérnicki, Jarosiaw Remarks on fixed points of uniformly Lipschitzian mappings with 
certain densities. (Russian and Polish summaries) 92¢:47104 

— Nonlinear ergodic theorems for asymptotically nonexpansive mappings in Banach spaces 
satisfying Opial’s condition. 92h:47085 

— Fixed point theorems for asymptotically regular mappings in L? spaces. 92j:47109 

— Fixed points for Lipschitzian involutions of order n = 3. (Russian and Polish summaries) 
92m:47112 

Hadzi¢, Olga A fixed point theorem in a class of random paranormed spaces. (Serbo- 
Croatian summary) 92g:47085 

— (with Gajié, Ljiljana; Janiak, T.) Fixed point theorems for multivalued mappings in 
topological vector spaces and their applications. 924:47075 

Hahn, Siegfried see Alex, H., 92i:47065 

He, Gang (with Du, Xu Guang) A fixed-point theorem for semidifferentiable K-D- 
contraction mappings in locally convex topological vector spaces. (Chinese. English 
summary) 92k:47109 


OPERATOR THEORY 


1992 802 


Heikkila, Seppo (with Lakshmikantham, V.; Sun, Yong) Fixed point results in ordered 
normed spaces with applications to abstract and differential equations. 92j:47110 

Hou, You Liang A general random fixed point theorem for multivalued random operators. 
(Chinese. English summary) 92i:47067 

Huang, Fa Lun (with Liang, Jin; Xiao, Ti Jun) Fixed points of set-valued mappings and 
existence of solutions and periodic solutions to differential inclusions. (Chinese. English 
summary) 92m:47113 

— (with Liang, Jin; Xiao, Ti Jun) On a generalization of Horn’s fixed point theorem. 
92m:47114 

— see also Liang, Jin; et al., 92e:47108 

Idzik, Adam Almost fixed point theorems. The plane case problem. 92¢:47105 

Im, Sung Mo (with Kim, Won Kyu) An application of Himmelberg’s fixed point theorem to 
noncompact optimization problems. 92m:47115 

Isac, G. Remark on the paper of A. Chitra and P. V. Subrahmanyam about the section 
theorem of Ky Fan: “A generalization of a section theorem of Ky Fan and its applications 
to variational inequalities” [Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 17 
(1987), no. 1, 17-37; MR 89d:47120]. (Serbo-Croatian summary) 

Jain, Rajendra see Jain, Rajendra Kumar! 

Jain, Rajendra Kumar’ (with Jain, Rajendra) A common fixed point of three mappings in 
Banach space. 

Janiak, T. see Hadzi¢, Olga; et al., 92d:47075 

Jo6, Istvan On a fixed point theorem. 92k:47110 

Khamsi, M. A. (with Kozlowski, Wojciech M.; Chen, Shu Tao) Some geometrical 
properties and fixed point theorems in Orlicz spaces. 92b:47092 

Khan, Abdul Rahim (with Siddiqui, A. Q.) Fixed points in metrizable topological vector 
spaces. 92k:47111 

Khan, Liagat Ali Extensions of some fixed point theorems of Kannan and Wong to 
paranormed spaces. 92¢:47106 

Kim, Jong Kyu see Cho, Yeol Je; et al., 92k:47107 

Kim, Won Kyu see Im, Sung Mo, 92m:47115 

Kirk, W. A. (with Martinez-Yaiiez, Carlos) Approximate fixed points for nonexpansive 
mappings in uniformly convex spaces. 92a:47068 

— An application of a generalized Krasnosel’skii-Ishikawa iteration process. (French 
summary) 92¢:47107 

— see also Goebel, Kazimierz, 92c:47070 

Kong, Wen Bo (with Ding, Xie Ping) Boundary conditions for the existence of positive 
fixed points of A-proper mappings. (Chinese. English summary) 

Koparde, P. V. (with Waghmode, B. B.) Fixed points for mappings with rational expression. 
I. 92i:47068 

— (with Waghmode, B. B.) On common fixed point of three mappings in Hilbert space. I. 
922:47069 

— (with Waghmode, B. B.) On sequence of mappings in Hilbert space. 

— (with Waghmode, B. B.) Kannan type mappings in Hilbert spaces. 

Koztowski, Wojciech M. see Khamsi, M. A.; et al., 92b:47092 

Kuczumow, Tadeusz (with Stachura, Adam) Open problems. (see 92b:00040) 

Lahiri, B. K. see Tiwary, Kalishankar, 92g:47089 and 92m:47120 

Lakshmikantham, V. (with Sun, Yong) A theorem on the existence of two fixed points. 
92k:47112 

— see also Heikkila, Seppo; et al., 92j:47110 

Lami Dozo, E. Contractions in Orlicz spaces. (Spanish) 92b:47093 

Lan, Kun Quan A coupled fixed-point theorem for condensing mappings. (Chinese. English 
summary) 92j:47111 

Lassonde, Marc Réduction du cas multivoque au cas univoque dans les problémes de 
coincidence. (English summary) [Reduction of the multivalued case to the single-valued 
case in coincidence problems] 92h:47086 

Leong, Tuck Sang A note on a common fixed point theorem of Brodskii and Mil/man and a 
lemma of Day. 92k:47113 

Li, Ming Zhu Fixed-point theorems for single-valued and multi-valued mappings in non- 
Archimedean Menger probabilistic metric spaces. (Chinese. English summary) 92f:47062 

Liang, Jin (with Huang, Fa Lun) Horn-type theorem in Fréchet spaces and application. 
92¢:47108 

— see also Huang, Fa Lun; et al., 92m:47113 and 92m:47114 

Lim, Teck Cheong (with Xu, Hong Kun; Xu, Zong Ben) Some L?” inequalities and their 
applications to fixed point theory and approximation theory. 92j:47112 

Lin, Tzu-Chu Best approximations and fixed points. 92d:47076 

Liu, Qi Hou The convergence theorems of the sequence of Ishikawa iterates for hemicon- 
tractive mappings. 92b:47094 

Lépez Acedo, Genaro see Dominguez Benavides, T., 92j:47108 

Ma, Yi Hai see Zhang, Shi Sheng, 92k:47117 

Maity, A. R. see Pathak, H. K., 92i:47070 

Marino, Giuseppe Fixed points for multivalued mappings defined on unbounded sets in 
Banach spaces. 92m:47116 

— see also Canetti, A.; et al., 92g:47084 

Martinez-Yaiiez, Carlos A remark on weakly inward contractions. 92g:47086 

— see also Kirk, W. A., 92a:47068 

Morales, Claudio H. Strong convergence theorems for pseudo-contractive mappings in 
Banach space. 92f:47063 

Mukherjee, Rathindra Nath’ (with Som, Tanmoy; Verma, Vandana) On common fixed 
points of nonlinear mappings in certain Banach lattices. 92e:47109 

Marthy, P. P. (with Sharma, B. K.) Extension of Naimpally and Singh’s theorem under 
weak commutativity. 

— Common fixed point theorems in Banach space. 

Naselli Ricceri, Ornella On the covering dimension of the fixed point set of certain 
multifunctions. 92m:47117 

Nova G., L. see Derrick, W. R., 92j:47107 

Park, K.S. see Cho, Yeol Je; et al., 92k:47107 

Park, Sehie Necessary and sufficient conditions for the existence of solutions to operator 
equations. 92b:47095 

— Fixed points of condensing inward multifunctions. 92c:47071 

— A generalization of the Brouwer fixed point theorem. 92i:47069 





803 1992 


— (with Bae, Jong Sook) Existence of maximizable quasiconcave functions on convex 
spaces. 92k:47114 

Park, W.T. see Cho, Yeol Je; et al., 92k:47107 

Pathak, H. K. (with Maity, A. R.) Extension of fixed point theorem of Rhoades. 92i:47070 

— (with Maity, A. R.) Some theorems on asymptotic regularity of mappings. 

Patil, S. T. (with Achari, J.) Convergence of sequence of iterates for a pair of contractive 
type mappings. 92i:47071 

Phan Quéc Khénh On Caristi-Kirk’s theorem and Ekeland’s variational principle for Pareto 
extrema. (Russian summary) 92j:47113 

Pietramala, Paolamaria see Canetti, A.; et al., 92g:47084 

Prasad, R. K. see Singh, Uday Narayan, 92c:47073 

Pruszko, Tadeusz see Czarnowski, Krzysztof, 92b:47090 

Rashwan, R. A. On the convergence of Mann iterates to a common fixed point for a pair of 
mappings. 92j:47114 

— A note on common fixed point theorems. 92i:47072 

— Some fixed point theorems for iterates of quasi-nonexpansive mappings in locally convex 
spaces. 92k:47115 

Saint-Raymond, Jean Perturbations compactes des contractions multivoques. (English 
summary) [Compact perturbations of multivalued contractions] 92d:47077 

— Points fixes des contractions multivoques. (English summary) [Fixed points of multival- 
ued contractions] 92h:47087 

Sangar, Vandana M. (with Waghmode, B. B.) Fixed point theorem for commutings in 
Hilbert space. II. 

— (with Waghmode, B. B.) On unique fixed point theorem in Hilbert space. 

— (with Waghmode, B. B.) Fixed point theorem for commuting mappings in Hilbert space. 
1. 

Sarkar, Asit Kumar (with Chatterjea, S. K.) Some extensions of the fixed point theorems of 
Brouwer and Darbo. 92m:47118 

Schu, Jiirgen Iterative construction of fixed points of strictly pseudocontractive mappings. 
92c:47072 

Sehgal, V.M. (with Singh, Sankatha Prasad; Whitfield, J. H.M.) KKM-maps and fixed 
point theorems. 92a:47070 

Sessa, Salvatore see Assad, N. A., 92j:47105 

Shafrir, Itai The approximate fixed point property in Banach and hyperbolic spaces. 
92b:47096 

Sharma, B. K. see Murthy, P. P. 

Sharma, P. L. see Tiwari, M. P. 

Siddiqui, A.Q. see Khan, Abdul Rahim, 92k:47111 

Singh, A. K. (with Singh, S. B.) Sequence of iterates for nonexpansive type mapping in 
Banach space. 

Singh, K. L. (with Chen, Yunkai) Fixed points for nonexpansive multivalued mapping in 
locally convex spaces. 92i:47073 

Singh, S. B. see Singh, A. K. 

Singh, Sankatha Prasad see Sehgal, V. M.; et al., 922:47070 

Singh, Uday Narayan (with Prasad, R. K.) On a-nonexpansive mappings in Banach space. 
92¢:47073 

Som, Tanmoy Some results on generalized nonlinear contractions through abstract cones. 
92j:47115 

— see also Mukherjee, Rathindra Nath’; et al., 92e:47109 

Stachura, Adam see Kuczumow, Tadeusz, (92b:00040) 

(Subrahmanyam, P. V.) see Isac, G. 

Sun, Jing Xian Fixed-point th for i ing operators and applications to nonlinear 
equations with discontinuous terms in Banach spaces. (Chinese) 92m:47119 

— Some new fixed point th of i ing operators and applications. 92g:47087 

Sun, Yong A fixed point theorem for mixed monotone operators with applications. 
92g:47088 

— see also Heikkila, Seppo; et al., 92j:47110 and Lakshmikantham, V., 92k:47112 

Tan, Kok-Keong (with Xu, Hong Kun) On fixed point theorems of nonexpansive mappings 
in product spaces. 92¢:47074 

Tarafdar, E. An extension of Fan’s fixed point theorem and equilibrium point of an abstract 
economy. 92b:47097 

Taskovi¢é, Milan R. Extensions of Brouwer’s theorem. 92h:47088 

Tian, Guo Qiang Fixed point theorems for mappings with noncompact and nonconvex 
domains. 92e:47110 

Tiwari, M. P. (with Sharma, P. L.) A common fixed point theorem in Banach space. 

Tiwary, Kalishankar (with Lahiri, B. K.) A generalisation of a fixed point theorem. 
92g:47089 

— (with Lahiri, B. K.) Some set-theoretic properties of continuous linear operators. 
92m:47120 

Verma, Vandana see Mukherjee, Rathindra Nath’; et al., 92e:47109 

Vijayaraju, Palaniappan A fixed point theorem for a sum of two mappings in reflexive 
Banach spaces. 92m:47121 

Voicu, Florica Applications contractives dans les espaces ordonnés. [Contractive mappings 
in ordered spaces] 92e:47111 

— Théorémes de point fixe dans les ensembles convexes. (Romanian summary) [Fixed-point 
theorems in convex sets] 92b:47098 

Volotov, N. N. Existence of positive fixed points of concave operators in Banach spaces with 
bells. (Russian) 92f:47064 

Vornicescu, Mihai Fixed point theorems for PPF mappings. 92e:47112 

Waghmode, B. B. see Koparde, P. V., 92a:47069; 92i:47068; Sangar, Vandana M.; Koparde, 
P. V. and Sangar, Vandana M. 

Wang, Fan The Rothe theorem and the Browder-Potter th for set-valued K-mappings 
in locally convex spaces. (Chinese. English summary) 92i:47074 

Wang, Min Zhi (with Zhao, Xiao Quan; Cao, Xu) Fixed points of Kannan mappings on 
locally convex Hausdorff linear topological spaces. (Chinese. English summary) 

Weng, Xin Long Fixed point iteration for local strictly pseudo-contractive mapping. 
92b:47099 

Whitfield, J. H.M. see Sehgal, V. M.; et al., 92a:47070 

Xiao, Ti Jun see Huang, Fa Lun; et al., 92m:47113 and 92m:47114 

Xu, Hong Kun A fixed point theorem for semigroups of proximately uniformly Lipschitzian 











47H Nonlinear operators 


47H10 


mappings. 92j:47116 

— Existence and convergence for fixed points of mappings of asymptotically nonexpansive 
type. 92h:47089 

— see also Tan, Kok-Keong, 92c:47074 and Lim, Teck Cheong; et al., 92j:47112 

Xu, Zong Ben see Lim, Teck Cheong; et al., 92j:47112 

Yang, Guang Chong Properties of fixed-point sets of increasing semicompact |-set 
contraction mapping series {7(A, -)}. (Chinese. English summary) 

Yang, Shu Lang Some problems concerning the positive fixed points of semidifferentiable 
mappings. (Chinese. English summary) 

Zhang, Shi Sheng (with Chen, Yu Qing) A class of fixed-point theorems of Krasnosel’skii’s 
type. (Chinese) 92k:47116 

— (with Ma, Yi Hai) Generalized KKM theorem on H-space with applications. 92k:47117 

Zhang, Shuang Star-shaped sets and fixed points of multivalued mappings. 92b:47100 

Zhao, Xiao Quan see Wang, Min Zhi; et al. 

Zou, Bao Kang Iterative approximation of the solution of a locally Lipschitzian equation. 
(Chinese. English summary) 92h:47090 


Items with secondary classifications in 47H10 


Abbaoui, Salim Common fixed points by Ishikawa iterates in metric linear spaces. 

Agrawal, A. K. A fixed point theorem. 

Ali, Faryad see Beg, Ismat; et al. 

Angelov, Vasil G. j-nonexpansive mappings in uniform spaces and applications. 92g:54057 

— A coincidence theorem in uniform spaces and applications. 92h:54058 

Argyros, Ioannis K. On some projection methods for approximating fixed points of 
nonlinear equations in Banach space. 92a:47072 

Azam, Akbar see Beg, Ismat; et al. 

Beg, Ismat (with Azam, Akbar; Ali, Faryad; Minhas, Tahira) Some fixed point theorems in 
convex metric spaces. 

Ben-El-Mechaiekh, Hichem (with Deguire, Paul) Approximation of nonconvex set-valued 
maps. (French summary) 92d:54058 

— (with Deguire, Paul) General fixed point th for 
(French summary) 924:54059 

Bruck, Ronald E. Structure of the approximate fixed-point sets of nonexpansive mappings 
in general Banach spaces. (French summary) 92¢:47095 

Cano, J. A of ity and another extension of Schauder’s theorem. 
92¢:47096 

Carbone, Antonio Applications of fixed points to approximation theory. 92¢:41026 

— Applications of fixed point theorems. 92¢:41027 

— Approximation results and fixed points. 92m:41068 

Carothers, N. L. (with Dilworth, S. J.; Lennard, Chris; Trautman, D. A.) A fixed point 
property for the Lorentz space Ly \(u). 92b:46030 

Chen, Guang Ya A generalized section theorem and a minimax inequality for a vector- 
valued mapping. 92e:49010 

Chen, Wen Hu Fixed-point theorems for nonexpansive mappings and pairs of nonexpansive 
mappings. (Chinese. English summary) 

Chen, Yu Qing see Zhang, Shi Sheng; et al., 92c:58008 

Chen, Zhao Jiang Common fixed point theorems for commuting maps on SST-probabilistic 
metric spaces. (Chinese. English summary) 

Cirié, Ljubomir B. On a common fixed point theorem of a GreguS type. 92k:54055 

Corduneanu, C. * Integral equations and applications. 92h:45001 

Dancer, E. N. Upper and lower stability and index theory for positive mappings and 
applications. 92k:47122 

Deguire, Paul see Ben-El-Mechaiekh, Hichem, 92d:54058 and 924:54059 

De Pascale, E. (with Trombetta, G.) Fixed points and best approximations for convexly 
condensing functions in topological vector spaces. (Italian summary) 92h:47082 

Dilworth, S. J. see Carothers, N. L.; et al., 92b:46030 

Ding, Xie Ping (with Lan, Kun Quan) Fixed-point index of uniform limit of set-valued 
strict set-contractive mappings and its applications. (Chinese. English summary) 
92¢:47097 

— Maximal elements of condensing preference maps in locally convex Hausdorff spaces. 
(Chinese. English summary) 92k:90011 

— Coincidence theorems in H-spaces and their applications. (Chinese. English summary) 

— Fixed point theorems of nonexpansive condensive maps in convex metric spaces. (Chinese 
summary) 

Djafari Rouhani, Behzad Asymptotic behaviour of almost nonexpansive sequences in a 
Hilbert space. 92a:47065 

Dé Hing Tan On the probabilistic Hausdorff distance and fixed point theorems for 
multivalued contractions. 92a:54038 

Du, Yi Hong Fixed points of increasing operators in ordered Banach spaces and applica- 
tions. 92f:47057 

Dubey, R. P. see Pathak, H. K. 

Fan, Ky A survey of some results closely related to the Knaster-Kuratowski-Mazurkiewicz 
theorem. 92£:90002 

Fang, Jin Xuan Fixed point theorems of local contraction mappings on Menger spaces. 
(Chinese. English summary) 92b:54085 

Gairola, Umesh C. see Singh, Shyam Lal, 92d:54063; 92d:54064 and 92h:54062 

Gaji¢, Ljiljana Fixed point theorems in Takahashi convex metric spaces. (Serbo-Croatian 
summary) 92¢:54050 

Ganguly, Ashok (with Rajput, A. S.; Tuteja, B.S.) Fixed points of probabilistic densifying 
mappings. 

Gastl, G. C. see Sehgal, V. M.; et al., 92h:47080 

Hadzi¢, Olga A common fixed point theorem for a family of mappings in convex metric 
spaces. (Serbo-Croatian summary) 

Hanebaly, E. Un théoréme du point fixe et solutions périodiques d’équations différentielles 
V -dissipatives. (English summary) [A fixed-point theorem and periodic solutions of V- 
dissipative differential equations] 92j:47119 

Horvath, Charles D. Contractibility and generalized convexity. 92f:52002 

Husain, Taqdir (with Latif, Abdul) Fixed points of multivalued nonexpansive maps. 
92k:54056 

— (with Latif, Abdul) /-nonexpansive type maps and fixed points. 





set-valued maps. 








47H10 


Isac, G. (with Németh, A. B.) Projection methods, isotone projection cones, and the 
complementarity problem. 92f:90070 

— (with Kostreva, M.) Kneser’s theorem and the multivalued generalized order complemen- 
tarity problem. 92k:90102 

— (with Kostreva, M.) The generalized order complementarity problem. 92k:90103 

Izydorek, Marek (with Kucharski, Zygfryd) The Krasnosielski theorem for permissible 
multivalued maps. (Russian summary) 92h:47079 

Jain, Rajendra Kumar! Some common fixed point theorems for nearly densifying maps. 
92g:54058 

— see also Jain, Rajendra Kumar' , 92g:54058 

Jeong, Jae Ug see Park, Jong Yeoul, 92b:47111 

Kelley, C. T. (with Sachs, E. W.) Fast algorithms for compact fixed point problems with 
inexact function evaluations. 92i:65095 

Kirk, W. A. (with Massa, Silvio) An ultranet technique in metric fixed point theory. 
92h:47083 

Kostreva, M. see Isac, G., 92k:90102 and 92k:90103 

Kryszewski, W. Homotopy invariants for set-valued maps. Homotopy approximation 
approach. (French summary) 92g:55004 

Kucharski, Zygfryd see Izydorek, Marek, 92h:47079 

Kuczumow, Tadeusz (with Prus, Stanislaw) Compact asymptotic centers and fixed points of 
multivalued nonexpansive mappings. 92h:47084 

— (with Stachura, Adam) Bruck’s retraction method. (French summary) 92f:47060 

Kuo, Ch’eng Lung Fixed point theorems for singlevalued mappings and multivalued 
mappings on complete metric spaces. 924:54061 

— Fixed point theorems for singlevalued mappings and multivalued mappings on complete 
metric spaces. II. 92g:54059 

Lan, Kun Quan Mixed monotone mappings, increasing mappings and fixed points. (Chinese. 
English summary) 92k:47103 

— see also Ding, Xie Ping; et al., 92e:47097 

Latif, Abdul see Husain, Taqdir, 92k:54056 

Lau, Anthony To Ming Amenability and fixed point property for semigroup of nonexpan- 
sive mappings. (French summary) 92j:47133 

Lennard, Chris A new convexity property that implies a fixed point property for L;. 
92j:46027 

— see also Carothers, N. L.; et al., 92b:46030 

Li, Bing You see Yan, Xin Li; et al., 92k:47131 

Lin, Bor-Luh (with Quan, Xiu Chi) A noncompact topological minimax theorem. 
92i:49011 

Lin, Michael (with Sine, Robert) Retractions on the fixed point set of semigroups of 
nonexpansive maps in hyperconvex spaces. 92¢:47069 

Liu, Qi Hou A convergence theorem for Ishikawa iterates of continuous generalized 
nonexpansive maps. 

Ma, Yi Hai see Zhang, Shi Sheng, 92i:47084 

Maity, A. R. see Pathak, H. K. 

Maligranda, Lech A remark on Dugundji theorem. (Spanish summary) 92e:47125 

Massa, Silvio see Kirk, W. A., 92h:47083 

Megretskii, A. V. Fixed points in systems with integral quadratic feedback. (Russian. 
English summary) 92i:47095 

Mehta, Ghanshyam see Tarafdar, E. 

Minhas, Tahira see Beg, Ismat; et al. 

Mukherjee, Rathindra Nath’ (with Verma, Vandana) Some fixed point theorems and their 
applications to best simultaneous approximations. 92m:41051 

Nelson, James L. (with Singh, K. L.; Whitfield, J. H.M.) Normal structures and nonexpan- 
sive mappings in Banach spaces. 92¢:47099 

Németh, A. B. see Isac, G., 92f:90070 

Nussbaum, Roger D. Convergence of iterates of a nonlinear operator arising in statistical 
mechanics. 92j:47103 

Pande, Rajesh Kumar (with Shrivastava, Rakesh) On fixed point under contractive type 
densifying mapping. 

Papageorgiou, Nikolaos S. Fixed point theorems for multifunctions with stochastic domain. 

Park, Jong Yeoul (with Jeong, Jae Ug) Invariant submeans and semigroups of nonexpansive 
mappings on uniformly convex Banach spaces. 92b:47111 

Pathak, H.K. (with Dubey, R. P.) Fixed point theorems of expansion mappings in L-space. 

— (with Maity, A. R.) Common fixed point of three commuting mappings in L-space. 

Pepo, Burbuge Fixed points for contractive mappings of third order in pseudo-quasimetric 
spaces. 92f:54041 

Podhorodytiski, Marian Two fixed point theorems for abstract Markov operators. 
92m:47015 

Polewczak, Jacek Ordinary differential equations on closed subsets of locally convex spaces 
with applications to fixed point theorems. 92g:34084 

Prus, Stanislaw see Kuczumow, Tadeusz, 92h:47084 

Quan, Xiu Chi see Lin, Bor-Luh, 92i:49011 

Rajput, A.S. see Ganguly, Ashok; et al. 

Rao, K. P. R. Some coincidence and common fixed points for self-maps. 

Rawat, Pratima (with Sharma, P. L.) Fixed point theorems with Mann iterates. 

Reich, Simeon Fixed point theory in hyperbolic spaces. (French summary) 92f:54042 

Rudakov, V. P. Unique solvability of a class of hybrid systems. (Russian) 92k:47125 

Sachs, E. W. see Kelley, C. T., 92i1:65095 

Schu, Jiirgen Iterative construction of fixed points of asymptotically nonexpansive 
mappings. 92d:47072 

Sehgal, V.M. (with Singh, Sankatha Prasad; Gastl, G. C.) Ona fixed point theorem for 
multivalued maps. (French summary) 92h:47080 

Sen, Rabindranath On some applications of fixed point theorems. 92k:47126 

Sharma, P. L. see Rawat, Pratima 

Shrivastava, Rakesh see Pande, Rajesh Kumar 

Sine, Robert see Lin, Michael, 92c:47069 

Singh, K. L. see Nelson, James L.; et al., 92e:47099 

Singh, Sankatha Prasad see Sehgal, V. M.; et al., 92h:47080 

Singh, Shyam Lal (with Gairola, Umesh C.) A coincidence theorem for three systems of 
transformations. 92d:54063 


OPERATOR THEORY 


— (with Gairola, Umesh C.) A general coincidence theorem. 924:54064 

— Application of fixed point theorems to nonlinear integrodifferential equations. 92g:47096 

— (with Gairola, Umesh C.) A general fixed point theorem. 92h:54062 

Smarzewski, Ryszard On firmly nonexpansive mappings. 92b:47089 

Song, Shu Ni The generalized topological degree and its application. (Chinese. English 
summary) 92e:47113 

Stachura, Adam see Kuczumow, Tadeusz, 92f:47060 

Sun, Jing Xian A generalization of Caristi’s fixed-point theorem. (Chinese. English 
summary) 

Takahashi, Wataru Existence theorems generalizing fixed point theorems for multivalued 
mappings. (French summary) 92m:54078 

Tan, Kok-Keong (with Xu, Hong Kun) The nonlinear ergodic theorem for asymptotically 
nonexpansive mappings in Banach spaces. 92e:47100 

Taniguchi, Takeshi A common fixed point theorem for two sequences of self-mappings. 
92f:54044 

Tarafdar, E. (with Mehta, Ghanshyam) Equilibrium points of preference correspondences 
and their inverses. 

Théra, Michel Existence results for the nonlinear complementarity problem and applica- 
tions to nonlinear analysis. 92d:47085 

Tiwari, M. P. Fixed point theorem for densifying mapping in Hausdorff space. 

Trautman, D. A. see Carothers, N. L.; et al., 92b:46030 

Trombetta, G. see De Pascale, E., 92h:47082 

Tuteja, B.S. see Ganguly, Ashok; et al. 

Verma, Vandana see Mukherjee, Rathindra Nath’, 92m:41051 

Vijayaraju, Palaniappan Application of a fixed point theorem to best approximation. 
92k:41037 

Wang, Da Qi The structure of the fixed-point set of a nonexpansive mapping of a Hilbert 
space, and its approximation by an iterative sequence of sets. (Chinese) 92m:47108 

Wang, Jia Ping (with Yu, Xin Tai) On uniformly normal structures. (Chinese) 92h:46024 

Wang, Xia Chang Construction of common fixed points for sequences of nonlinear 
mappings on convex metric spaces. (Chinese. English summary) 

Whitfield, J. H.M. see Nelson, James L.; et al., 92e:47099 

Xu, Hong Kun On weakly nonexpansive and *-nonexpansive multivalued mappings. 
92e:54052 

— Inequalities in Banach spaces with applications. 92e:47126 

— see also Tan, Kok-Keong, 92¢:47100 

Yan, Xin Li (with Li, Bing You) Generalized variational inequalities and minimax 
theorems. (Chinese. English summary) 92k:47131 

Yang, Rong Xian Existence of fixed points of nonlinear mappings and approximation 
methods. (Chinese. English summary) 

Yang, Shu Lang A condensing mapping equation in a Banach space. (Chinese. English 
summary) 92g:47098 

Yao, Jen Chih Applications of variational inequalities to nonlinear analysis. 92c:47080 

Yu, Xin Tai see Wang, Jia Ping; et al., 92h:46024 

Zeng, Wen Zhi Probability contractors and equations in probabilistic normed spaces. 
(Chinese. English summary) 92¢:47133 

Zhang, Shi Sheng (with Ma, Yi Hai) Coupled fixed points for mixed monotone condensing 
operators and an existence theorem of the solutions for a class of functional equations 
arising in dynamic programming. 92i:47084 

— (with Zhang, Ying!) Generalized KKM theorem and variational inequalities. 92k:47100 

— (with Chen, Yu Qing) Coincidence indices on Banach manifolds. (Chinese. English 
summary) 92c:58008 

— Fixed-point theorems for a class of expansive mappings. (Chinese. English summary) 
921:54045 

Zhang, Ying! see Zhang, Shi Sheng, 92k:47100 

Zhao, Xiao Qiang Fixed point of set-valued mapping and periodic solution of a class of 
functional-differential equations. 92g:34102 


47H11 Degree theory [see also 55M25, 58C30] 


Akashi, Wilson Yoshihiro (with Miller, Célia Peitl) The method of topological degree of a 
mapping in hyperbolic problems. (Portuguese. English summary) 92j:47117 

Berkovits, Juha Topological degree and multiplication theorem for a class of nonlinear 
mappings. 92k:47118 

Lépez Acedo, Genaro On the topological degree for A-compact mappings. 92g:47090 

Miller, Célia Peitl see Akashi, Wilson Yoshihiro, 92j:47117 

Ratiner, N. M. see Zvyagin, V. G., 92g:47091 

Song, Fu Min Generalized relative degrees of W-A-proper mappings and their applications. 
(Chinese) 92f:47065 

Song, Shu Ni The generalized topological degree and its application. (Chinese. English 
summary) 92e:47113 

Williamson, Frank U. On equations in Banach spaces involving composition products of 
set-valued mappings. 92k:47119 

Zabreiko, P. P. Abstract relationship principles in the theory of nonlinear operator 
equations. 92e:47114 

Zhong, Cheng Kui Computation of the topological degree of equivariant completely 
continuous fields in Banach spaces. (Chinese) 92i:47075 

Zvyagin, V.G. (with Ratiner, N. M.) Oriented degree of Fredholm mappings of nonnega- 
tive index and its application to a problem on the global bifurcation of solutions. (Rus- 
sian) 92g:47091 


Items with secondary classifications in 47H11 

Appell, Jiirgen (with Krasnosel'skii, A.M.) New th 
points. 92m:47122 

Berkovits, Juha (with Mustonen, Vesa) On the existence of multiple solutions for semi- 
linear equations with monotone nonlinearities crossing a finite number of eigenvalues. 
92j:47118 

Borisovich, Yu. G. (with Shpil’berg, M. I.) Relative topological characteristics of mappings 
[in Topological and g ic methods of analysis (Russian), 43-57, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91d:58024]. (see 92b:58001) 


ic bifurcation 





on asymp 








805 1992 


Chen, Yu Qing see Zhang, Shi Sheng; et al., 92c:58008 

Del Pino, Manuel A. (with Manasevich, Raul F.) Global bifurcation from the eigenvalues 
of the p-Laplacian. 92g:35028 

Du, Xu Guang see Zhou, Yu Ying; et al., 92k:47101 

Fan, Xian Ling The topological degree of set-valued compact perturbations of Fredholm 
mappings. (Chinese. English summary) 92i:58026 

Fitzpatrick, P.M. (with Pesjsachowicz, Jacobo) Nonorientability of the index bundle and 
several-parameter bifurcation. 92g:58019 

Fournier, Gilles (with Violette, Donald) La formule de Leray-Schauder pour l’indice d’une 
fonction multivoque continiment différentiable. (English summary) [The Leray-Schauder 
formula for the index of a continuously differentiable multivalued function] 92b:58023 

Geba, Leszek (with Pruszko, Tadeusz) Some applications of minimax and topological 
degree to the study of the Dirichlet problem for elliptic partial differential equations. 
92m:35072 

Krasnosel'skii, A.M. see Appell, Jiirgen, 92m:47122 

Kryszewski, W. Homotopy invariants for set-valued maps. Homotopy approximation 
approach. (French summary) 92g:55004 

Manasevich, Raul F. see Del Pino, Manuel A., 92g:35028 

Mawhin, Jean L. (with Tshinanga, S. B.) Extension des théorémes d’existence de Schmitt 
et Smith aux perturbations d’opérateurs de Fredholm d’indice zéro. [Extension of the 
Schmitt-Smith existence theorems to perturbations of Fredholm operators of index zero] 
92k:47123 

Milojevi¢, P.S. Solvability of operator equations and periodic solutions of semilinear 
hyperbolic equations. 92j:47127 

Mustonen, Vesa see Berkovits, Juha, 92j:47118 

Nguyén Xuan Tan A combination method for local bifurcation from characteristic values 
with multiplicity. 92j:47128 

Pesjsachowicz, Jacobo see Fitzpatrick, P. M., 92g:58019 

Pruszko, Tadeusz see Geba, Leszek, 92m:35072 

Reichert, Marianne Zusammenhang der Fixpunktmenge bei verdichtenden Volterra- 
Operatoren. [Connectedness of the fixed point set in the case of condensing Volterra 
Operators] 92g:47095 

Shpil’berg, M. I. see Borisovich, Yu. G., (92b:58001) 

Tshinanga, S. B. see Mawhin, Jean L., 92k:47123 

Violette, Donald see Fournier, Gilles, 92b:58023 

Zhang, Shi Sheng (with Chen, Yu Qing) Coincidence indices on Banach manifolds. 
(Chinese. English summary) 92¢:58008 

Zhou, Yu Ying (with Du, Xu Guang) Surjectivity of multivalued mappings and solvability 
of equations. (Chinese. English summary) 92k:47101 

Zvyagin, V.G. The oriented degree of a class of perturbations of Fredholm mappings and 
the bifurcation of the solutions of a nonlinear boundary value problem with noncompact 
perturbations. (Russian) 92m:58020 


47H12 Spectral theory of nonlinear operators [see also 58C40] 


Aliev, Z.S. see Makhmudov, A. P., 924:47079 

Du, Yi Hong The structure of the set of positive solutions of a class of nonlinear eigenvalue 
problems. (Chinese) 92d:47078 

Heinz, Hans-Peter Lacunary bifurcation of multiple solutions of nonlinear eigenvalue 
problems. 92¢:47115 

Makhmudov, A. P. (with Aliev, Z.S.) Nondifferentiable perturbations of spectral problems 
for a pair of selfadjoint operators and global bifurcation. (Russian) 92d:47079 

Rynne, B. P. Bifurcation from eigenvalues in nonlinear multiparameter problems. 
92d:47080 

Schechter, Martin (with Tintarev, Kyril) Points of spherical maxima and solvability of 
semilinear elliptic equations. 92i:47076 

Stroescu, Elena Existence and perturbation for nonlinear eigenvalue problems. 92a:47071 

Tintarev, Kyril see Schechter, Martin, 92i:47076 


Items with secondary classifications in 47H12 

Heinz, Hans-Peter Lacunary bifurcation for operator equations and nonlinear boundary 
value problems on R”. 92j:47121 

Schaaf, Renate * Global solution branches of two-point boundary value problems. 
92a:34003 

Schechter, Martin (with Tintarev, Kyril) Families of “first eigenfunctions” for semilinear 
elliptic eigenvalue problems. 92m:35197 

Shapiro, Victor L. Quasilinear ellipticity and the Ist eigenvalue. 92j:35053 

Tintarev, Kyril see Schechter, Martin, 92m:35197 

Verma, Ram U. The numerical range of nonlinear Banach space operators. 92d:47086 

Yang, Shu Lang Quasisemiderivatives of mappings and positive solutions to mapping 
equations. (Chinese. English summary) 





47H15 Equations involving nonlinear operators [see also 58E07 
for abstract bifurcation theory] 


Aftabizadeh, A. R. (with Pavel, Nicolae H.) Nonlinear boundary value probl for 
some ordinary and partial differential equations associated with monotone operators. 
92h:47091 

Appell, Jiirgen (with Krasnosel’skii, A.M.) New th 
points. 92m:47122 

Argyros, Ioannis K. On some quadratic integral equations. 92d:47081 

Attouch, Hédy (with Penot, Jean-Paul; Riahi, Hassan) The continuation method and 
variational convergence. (French summary) 92m:47123 

Berkovits, Juha (with Mustonen, Vesa) On the existence of multiple solutions for semi- 
linear equations with monotone nonlinearities crossing a finite number of eigenvalues. 
92j:47118 

Bielawski, Dariusz (with Pruszko, Tadeusz) On the structure of the set of solutions of a 
functional equation with applications to boundary value problems. 92k:47120 

Bugajewski, Dariusz (with Szufla, Stanislaw) On the existence of L’'”?-solutions of the 
Hammerstein integral equation in Banach spaces. 92g:47092 











on asymptotic bifurcation 


47H Nonlinear operators 


47H15 


Corduneanu, C. Abstract Volterra equations and weak topologies. 92k:47121 

Dancer, E. N. Upper and lower stability and index theory for positive mappings and 
applications. 92k:47122 

Dolezal, Vaclav A remark on invertibility of Hammerstein-type operators. 92m:47124 

Fetkan, Michal A symmetry theorem for variational problems. 92d:47082 

Feng, De Xing see Li, Shu Jie; et al., 92j:47125 

Hanebaly, E. Un théoréme du point fixe et solutions périodiques d’équations différentielles 
V -dissipatives. (English summary) [A fixed-point theorem and periodic solutions of V- 
dissipative differential equations] 92j:47119 

Heikkila, Seppo (with Kumpulainen, M.; Lakshmikantham, V.) On solvability of mixed 
monotone operator equations with applications to mixed quasimonotone differential 
systems involving discontinuities. 92j:47120 

Heinz, Hans-Peter Lacunary bifurcation for operator equations and nonlinear boundary 
value problems on R’. 92j:47121 

Kaczor, W. Measures of noncompactness and an existence theorem for differential 
equations in Banach spaces. (Polish summary) 92d:47083 

Karapetyants, N. K. (with Yakubov, A. Ya.) A convolution equation with a power 
nonlinearity of negative order. (Russian) 92m:47125 

Kassay, G. (with Kolumban, I.) On a theorem of Brézis, Nirenberg and Stampacchia. 
92g:47093 

Ketkemétyova, Maria On the existence of a solution for nonlinear operator equations in 
Fréchet spaces. 92m:47126 

Kenmochi, Nobuyuki (with Koyama, Tetsuya) Nonlinear functional variational inequalities 
governed by time-dependent subdifferentials. 92j:47122 

Khatskevich, V. L. Solvability of a periodic problem for a nonlinear Hamiltonian system. 
(Russian) 92m:47127 

Kolosov, A. I. A class of equations with concave operators that depend on a parameter. 
(Russian) 92¢:47075 

Kolumban, I. see Kassay, G., 92g:47093 

Koyama, Tetsuya see Kenmochi, Nobuyuki, 92j:47122 

Krasnosel'skii, A.M. Joint norm of operators and the study of nonlinear problems. 
(Russian. Ukrainian summary) 92b:47101 

— (with Krasnosel’skii, M. A.; Kuznetsov, N. A.) Nonlinear systems with incomplete 
corrections and their stability. (Russian) 92j:47123 

— Ona method of analysis of resonance problems. 92b:47102 

— see also Appell, Jiirgen, 92m:47122 

Krasnosel'skii, M. A. see Krasnosel’skii, A. M.; et al., 92j:47123 

Krawvaritis, Dimitrios (with Papageorgiou, Nikolaos S.) A boundary value problem for a 
class of evolution inclusions. 92¢:47116 

Kumpulainen, M. see Heikkila, Seppo; et al., 92j:47120 

Kipper, Tassilo (with Stuart, Charles A.) Gap-bifurcation for nonlinear perturbations of 
Hill’s equation. 92¢:47076 

Kuznetsov, N. A. see Krasnosel’skii, A. M.; et al., 92j:47123 

Lakshmikantham, V. see Heikkila, Seppo; et al., 92j:47120 

Lavrent’ev, I. M. (with Scepanovié, Radoje) On the solvability of nonlinear equations. 
(Russian. English and Serbo-Croatian summaries) 92j:47124 

Li, Shu Jie (with Feng, De Xing) A new proof of the Hadamard monodromy theorem and 
the periodic solution for a class of O.D.E. systems at resonance. 92j:47125 

Liu, Féng Ché On a form of KKM principle and Sup Inf Sup inequalities of von Neumann 
and of Ky Fan type. 92b:47103 

Loginov, B. V. (with Rakhmatova, Kh. R.; Yuldashev, N. N.) Ona branching equation of 
periodic solutions with a crystallographic symmetry group. (Russian) 92j:47126 

— (with Sidorov, N. A.) Group symmetry of the Lyapunov-Schmidt branching equation, 
and iterative methods in the bifurcation point problem. (Russian) 92i:47077 

Ma, Yi Hai see Zhang, Shi Sheng, 92i:47084 

Mawhin, Jean L. (with Tshinanga, S. B.) Extension des théorémes d’existence de Schmitt 
et Smith aux perturbations d’opérateurs de Fredholm d’indice zéro. [Extension of the 
Schmitt-Smith existence theorems to perturbations of Fredholm operators of index zero] 
92k:47123 

— Generic properties of nonlinear boundary value problems. 92f:47066 

Mei, Zhen Bifurcations of a simplified buckling problem and the effect of discretizations. 
92i:47078 

Melnik, V.S. Some properties of weak solutions of operator equations and variational 
inequalities. (Russian. English summary) 92m:47128a 

— Some properties of solutions of operator equations and variational inequalities. (Russian) 
92m:47128b 

Messano, Basilio Questions concerning functional equations of the form A(x) — A(t(x)) = 
g(x) and the Goursat problem for u,, = 0. (Italian. English summary) 92g:47094 

Milojevi¢, P.S. Solvability of operator equations and periodic solutions of semilinear 
hyperbolic equations. 92j:47127 

Moore, Chika Iterative approximation of the solution to a k-accretive operator equation in 
certain Banach spaces. 92e:47117 

Morales, Claudio H. Remarks on compact perturbations of m-accretive operators. 
92e:47118 

Mustonen, Vesa see Berkovits, Juha, 92j:47118 

Naselli Ricceri, Ornella On some classes of implicit partial differential equations in Banach 
spaces. (Italian summary) 92b:47104 

Nguyén Xuan Tan An iteration method for bifurcation problem involving Fredholm 
mappings. 92i:47079 

— Acombination method for local bifurcation from characteristic values with multiplicity. 
92j:47128 

Nieto, Juan J. Nonuniqueness for nonlinear problems. 92h:47092 

Papageorgiou, Nikolaos S. see Kravvaritis, Dimitrios, 92e:47116 

Pascali, Dan Coincidence degree in bifurcation theory. 92j:47129 

Pavel, Nicolae H. see Aftabizadeh, A. R., 92h:47091 

Pavienko, V. N. The method of monotone operators for equations with discontinuous 
nonlinearities. (Russian) 92k:47124 

Penot, Jean-Paul see Attouch, Hédy; et al., 92m:47123 

Pokhozhaev, S. I. The fibration method for solving nonlinear boundary value problems. 
(Russian) 92m:47129 








47H15 


Ponomarev, V. D. Existence of a solution to a system of two operator equations. (Russian. 
English and Latvian summaries) 92i:47080 

Precup, Radu Topological transversality, perturbation theorems and second order 
differential equations. 92i:47081 

Pruszko, Tadeusz see Bielawski, Dariusz, 92k:47120 

Przeradzki, B. An abstract version of the resonance theorem. 92m:47130 

Rakhmatova, Kh. R. see Loginov, B. V.; et al., 92j:47126 

Reichert, Marianne Zusammenhang der Fixpunktmenge bei verdichtenden Volterra- 
Operatoren. [Connectedness of the fixed point set in the case of condensing Volterra 
operators] 92g:47095 

Riahi, Hassan see Attouch, Hédy; et al., 92m:47123 

Rudakov, V. P. A generalization of the Eshukov boundary value problem. (Russian) 
92m:47131 

— Unique solvability of a class of hybrid systems. (Russian) 92k:47125 

ié, Radoje see Lavrent'ev, I. M., 92j:47124 

Schechter, Martin (with Tintarev, Kyril) Eigenvalues for semilinear boundary value 
problems. 92¢:47077 

Sen, Rabindranath On some applications of fixed point theorems. 92k:47126 

Sidorov, N. A. see Loginov, B. V., 92i:47077 

Singh, Shyam Lal Application of fixed point theorems to nonlinear integrodifferential 
equations. 92g:47096 

Soltysiak, Andrzej (with Szufla, Stanislaw) Existence theorems for L,-solutions of the 
Hammerstein integral equation in Banach spaces. 92d:47084 

Stuart, Charles A. see Kipper, Tassilo, 92c:47076 

Sukhinin, M. F. Differentiability with respect to parameters in the presence of a priori 
estimates. (Russian) 92j:47130 

Sumin, V.1. Volterra functional-operator equations and stability of the existence of global 
solutions of boundary value problems. (Russian. Ukrainian summary) 92i:47082 

Sviridyuk, G. A. Semilinear equations of Sobolev type with a relatively bounded operator. 
(Russian) 92g:47097 

Szufla, Stanistaw see Soltysiak, Andrzej, 924:47084 and Bugajewski, Dariusz, 92g:47092 

Théra, Michel Existence results for the nonlinear complementarity problem and applica- 
tions to nonlinear analysis. 92d:47085 

Tintarev, Kyril see Schechter, Martin, 92c:47077 

Tolstonogov, A. A. Properties of integral solutions of differential inclusions with m-accretive 
operators. (Russian) 92k:47127 

Tshinanga, S. B. see Mawhin, Jean L., 92k:47123 

Vavilov, S. A. On the solvability of a class of operator equations. (Russian) 92h:47093 

Verma, Ram U. The numerical range of nonlinear Banach space operators. 92d:47086 

— Role of numerical range in approximation-solvability of nonlinear functional equations. 

Wu, Shao Ping On the surjectivity of the almost linear operator and its applications. 
92k:47128 

Yakubov, A. Ya. see Karapetyants, N. K., 92m:47125 

Yang, Shu Lang Several problems concerning K mapping equations. (Chinese) 92b:47105 

— A condensing mapping -quation in a Banach space. (Chinese. English summary) 
92g:47098 

— On the weak semiderivative of mappings and the mapping equations. 

— Quasisemiderivatives of mappings and positive solutions to mapping equations. (Chinese. 
English summary) 

Yuldashev, N. N. An equation for the branching of periodic solutions of a problem on 
convection in a layer. (Russian. Uzbek summary) 92i:47083 

— see also Loginov, B. V.; et al., 92j:47126 

Zabreiko, P. P. Implicit function theorems in the theory of nonlinear integral equations. 
(Russian. English summary) 92m:47132 

Zhang, Shi Sheng (with Ma, Yi Hai) Coupled fixed points for mixed monotone condensing 
operators and an existence theorem of the solutions for a class of functional equations 
arising in dynamic programming. 92i:47084 


Items with secondary classifications in 47H15 


Abdelouhab, Laziz Nonlocal dispersive equations in weighted Sobolev spaces. 92k:35226 

Adje, Assohoun Sur-et sous-solutions pour une certaine classe de problémes aux limites 
multivoques avec des conditions aux limites non lineaires. (English summary) [Super- and 
subsolutions for a certain class of multivalued boundary value probl with nonlinear 
boundary conditions] 92c¢:34023 

Aizicovici, Sergiu (with Pavel, Nicolae H.) Anti-periodic solutions to a class of nonlinear 
differential equations in Hilbert space. 92k:34078 

Akashi, Wilson Yoshihiro (with Miller, Célia Peitl) The method of topological degree of a 
mapping in hyperbolic problems. (Portuguese. English summary) 92j:47117 

Akhmerov, R.R. (with Kamenskii, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskii, B. N.) 
* Measures of noncompactness and condensing operators. 92k:47104 

Albanese, Claudio (with Frohlich, Jiirg) Perturbation theory for periodic orbits in a class of 
infinite-dimensional Hamiltonian systems. 92i:58149 

Allgower, Eugene L. (with Bohmer, Klaus; Mei, Zhen) A complete bifurcation scenario 
for the 2-d nonlinear Laplacian with Neumann boundary conditions on the unit square. 
92e:58044 

Andres, Jan On some modification of the Levinson operator and its application to a three- 
point boundary value problem. (Russian and Czech summaries) 92m:34052 

Angelov, Vasil G. j-nonexpansive mappings in uniform spaces and applications. 92g:54057 

Anichini, Giuseppe (with Conti, Giuseppe; Zecca, Pietro) Using solution sets for solving 
boundary value problems for ordinary differential equations. 92k:34020 

Antman, Stuart S. see Lanza de Cristoforis, Massimo, 92h:76014 

Appell, Jiirgen Interpolation of noncompact nonlinear operators in integrable function 
spaces. (Italian. English summary) 92a:46092 

Arrate Peiia, Manuel (with Domingo, Francisco) Existence and uniqueness of periodic 
solutions of ordinary differential equations in Banach spaces. (Spanish) (see 92b:00044) 

Aston, P. J. Analysis and computation of symmetry-breaking bifurcation and scaling laws 
using group-theoretic methods. 92e:58045 

Auchmuty, Giles The global branching of rotating stars. 92c:85006 

Azizov, T. Ya. (with Khatskevich, V. A.; Shoikhet, D. M.) On the number of fixed points of 
a holomorphism. (Russian) 92h:58023 





OPERATOR THEORY 


1992 806 


Babiatiski, Wojciech (with Bittner, Ryszard; Latecki, Longin) The criteria for the existence 
and uniqueness for solutions of abstract differential equations. 92m:44015 

Baginski, Frank E. The buckling of elastic spherical caps. 92g:73049 

Balachandran, Krishnan An existence theorem for nonlinear integro-differential equation 
with infinite delay. 92m:45006 

Banas, Jézef (with El-Sayed, Wagdy Gomaa) Monotonic solutions of a nonlinear Volterra 
integral equation. 92h:45004 

Bandle, Catherine (with Pozio, Maria Assunta) On a class of nonlinear Neumann problems. 
92:35063 

Baouche, Amar On the existence of solutions of a Nicoletti problem for an integro- 
differential equation with advanced argument. 92f:45010 

Barbaszewska-Wisniowska, Anna The weak solutions of the Navier-Stokes type differential 
equation in Hilbert space. (Polish summary) 92m:34137 

Bartsch, Thomas (with Clapp, Monica) Bifurcation theory for symmetric potential 
operators and the equivariant cup-length. 92g:58020 

Bates, S. M. A smooth surjective rank-1 endomorphism of a Hilbert space. 92j:58009 

Berger, Melvyn S. * Mathematical structures of nonlinear science. 92d:58050 

Berkovits, Juha Topological degree and multiplication theorem for a class of nonlinear 
mappings. 92k:47118 

Bernardi, Marco Luigi (with Pozzi, Gianni Arrigo) On a class of singular nonlinear 
parabolic variational inequalities. (Italian summary) 92m:47136 

Bittner, Ryszard see Babiatiski, Wojciech; et al., 92m:44015 

Blot, Joél On global implicit functions. 92m:58009 

Béhmer, Klaus see Allgower, Eugene L.; et al., 92¢:58044 

Brykalov, S. A. Solvability of a nonlinear boundary value problem in a fixed set of 
functions. (Russian) 92m:34150 

Bugajewski, Dariusz On the structure of the L”'”2-solution sets of Volterra integral 
equations in Banach spaces. 92k:45004 

Burton, T. A. (with Zhang, Bo') Periodic solutions of abstract differential equations with 
infinite delay. 92e:34085 

Canetti, A. (with Marino, Giuseppe; Pietramala, Paolamaria) Fixed point theorems for 
multivalued mappings in Banach spaces. 92g:47084 

Cao, Dao Min Bifurcation for quasilinear elliptic systems on R" with natural growth 
conditions. 92m:35027 

Capietto, Anna (with Mawhin, Jean L.; Zanolin, Fabio) The coincidence degree of some 
functional-differential operators in spaces of periodic functions and related continuation 
theorems. 92h:34131 

Cellina, Arrigo (with Staicu, Vasile) On evolution equations having monotonicities of 
opposite sign. 92¢:34014 

Chen, Yu Qing see Zhang, Shi Sheng; et al., 92b:47086 

Chobanov, Georgi Iv. Nonzero solutions for a homogeneous semilinear elliptic equation. 
92j:35049 

Chou, Chin Ch’éng Inverse function theorems for multifunctions in Fréchet spaces. 
92k:49026 

Cimatti, Giovanni Bifurcation for the “corona” problem. 92i:78010 

Clapp, Ménica see Bartsch, Thomas, 92g:58020 

Clément, Philippe P. (with Descloux, J.) A variational approach to a problem of rotating 
rods. 92a:73029 

Comte, Myriam (with Knaap, Mariette) Existence of solutions of elliptic equations 
involving critical Sobolev exponents with Neumann boundary condition in general 
domains. 92j:35063 

Conti, Giuseppe see Anichini, Giuseppe; et al., 92k:34020 

Corréa, F. J.S.de A. On pairs of positive solutions for a class of sub-superlinear elliptic 
problems. 92j:35064 

Costa, David G. (with Silva, Elves Alves de B. e) The Palais-Smale condition versus 
coercivity. 92i:58033 

Crouzeix, Michel (with Rappaz, Jacques) * On numerical approximation in bifurcation 
theory. 924:65003 

Dautov, R. Z. (with Lyashko, A. D.; Solov’év, S. I.) Convergence of the Bubnov-Galerkin 
method with perturbations for symmetric spectral problems with nonlinear appearance of 
the parameter. (Russian) 92f:65064 

Davideanu, Catalina The study of a class of multivoc differential equations. (Romanian 
summary) 924:34031 

Dawidowski, Marian (with Kubiaczyk, Ireneusz) An existence theorem for the generalized 
hyperbolic equation zy, € F (x,y,z) in Banach space. 92f:35150 

De Blasi, F.S. (with Pianigiani, G.) Non-convex-valued differential inclusions in Banach 
spaces. 92h:34037 

Del Pino, Manuel A. (with Mandasevich, Raul F.) Global bifurcation from the eigenvalues 
of the p-Laplacian. 92g:35028 

— (with Manasevich, Raul F.; Murda, Alejandro E.) Existence and multiplicity of solutions 
with prescribed period for a second order quasilinear ODE. 92m:34055 

Deng, Yin Bin Existence of multiple positive solutions of inhomogeneous semi-linear 
elliptic problems involving critical exponents. 92m:35087 

Descloux, J. see Clément, Philippe P., 92a:73029 

Domingo, Francisco see Arrate Peiia, Manuel, (92b:00044) 

Drabek, Pavel (with Nicolosi, Francesco) Semilinear boundary value probl 
with general nonlinearities. 92k:35099 

Du, Yi Hong The structure of the set of positive solutions of a class of nonlinear eigenvalue 
problems. (Chinese) 92d:47078 

Dzyuba, S. M. Periodic solutions of some functional equations. (Russian) 92i:34053 

Elenin, G. G. (with Troshchiev, Yu. V.) Reduction of systems of nonlinear equations with 
symmetry. (Russian. English summary) 92j:65076 

— (with Troshchiev, Yu. V.) A numerical branching method at complex bifurcation points 
for path finding. (Russian. English summary) 92k:65087 

El-Sayed, Wagdy Gomaa see Banas, Jozef, 92h:45004 

Erbe, Lynn H. (with Krawcewicz, W.) Boundary value probl 
92¢:34015 

Escobedo, Miguel (with Zuazua, Enrike) Self-similar solutions for a convection-diffusion 
equation with absorption in RY. 92k:35090 

Fabry, C. (with Fonda, A.) Periodic solutions of nonlinear differential equations with 





at resonance 


for differential inclusions. 








807 1992 47H 


double resonance. 92¢:34029 

Fetkan, Michal A new method for the existence of solutions of nonlinear differential 
equations. 92e:35004 

de Figueiredo, Djairo G. (with Ruf, Bernhard) On a superlinear Sturm-Liouville equation 
and a related bouncing problem. 92j:34037 

— (with Miyagaki, Olimpio H.) Semilinear elliptic equations with the primitive of the 
nonlinearity away from the spectrum. 92k:35100 

Fitzpatrick, P. M. (with Pesjsachowicz, Jacobo) Nonorientability of the index bundle and 
several-parameter bifurcation. 92g:58019 

Fonda, A. (with Lazer, Alan C.) Subharmonic solutions of conservative systems with 
nonconvex potentials. 92h:34082 

— see also Fabry, C., 92¢:34029 

Fournier, Gilles (with Willem, M.) The mountain circle theorem. 92k:58045 

Frankowska, Halina Conical inverse mapping theorems. 92k:49028 

Freedman, M. A. Further investigation of the relation of the operator 9/8a + 9/4 to 
evolution governed by accretive operators. 92i:35061 

Frigon, Marlene (with Saccon, Claudio) Heat equations with discontinuous nonlinearities 
on convex and nonconvex constraints. 92k:35167 

Frohlich, Jiirg see Albanese, Claudio, 92i:58149 

Furi, Massimo (with Pera, Maria Patrizia) A continuation principle for the forced spherical 
pendulum. (French summary) 92£:58146 

Gaeta, Giuseppe Bifurcation theory and nonlinear symmetries. 92h:58041 

Gajda, Zbigniew On stability of additive mappings. 92¢:39029 

Garay, Barnabas M. Deleting homeomorphisms and the failure of Peano’s existence 
theorem in infinite-dimensional Banach spaces. 92i:34081 

Garcia-Huidobro, Marta Jumping nonlinearities for a nonlinear equation with an nth order 
disconjugate operator. 92m:34056 

Ge, Wei Gao On the existence of harmonic solutions of Liénard systems. 924:34040 

Geba, Leszek (with Pruszko, Tadeusz) Some applications of minimax and topological 
degree to the study of the Dirichlet problem for elliptic partial differential equations. 
92m:35072 

Geisler, Michael (with Runst, Thomas) On a superlinear Amb 
Besov and Triebel-Lizorkin spaces. 92k:46048 

Geymonat, Giuseppe (with Rosati, Mario Valerio; Valente, Vanda) The maximal thickness 
for everted equilibrium shapes of elastic spherical caps. 92m:73083 

Gomes, Sénia M. (with Sprekels, Jiirgen) Krasnosel’skii’s theorem on operators compress- 
ing a cone: application to some singular boundary value problems. 92h:47081 

Gongalves, J. V. A. (with Miyagaki, Olimpio H.) Existence of nontrivial solutions for 
semilinear elliptic equations at resonance. 924:35101 

— (with Miyagaki, Olimpio H.) Remarks on semilinear elliptic problems at resonance. 
92k:35091 

Goncharov, V. V. Existence of solutions of a class of differential inclusions on a compact set. 
(Russian) 92e:34020 

Gossez, Jean-Pierre (with Omari, Pierpaolo) Periodic solutions of a second order ordinary 
differential equation: a necessary and sufficient condition for nonresonance. 92m:34090 

— (with Omari, Pierpaolo) A necessary and sufficient condition of nonresonance for a 
semilinear Neumann problem. 92¢:35071 

Gramchev, Todor Nonlinear maps in spaces of distributions. 92j:46068 

Granas, Andrzej (with Guenther, R. B.; Lee, John Walter) Some general existence 
principles in the Carathéodory theory of nonlinear differential systems. 92d:34041 

Grillakis, Manoussos G. (with Shatah, Jalal; Strauss, Walter Alexander) Stability theory of 
solitary waves in the presence of symmetry. II. 92a:35135 

Guenther, R. B. see Granas, Andrzej; et al., 92d:34041 

Gupta, Chaitan P. Solvability of a fourth-order boundary value problem with periodic 
boundary conditions. II. 92b:34034 

Healey, Timothy J. (with Kielhéfer, Hansjérg) Symmetry and nodal properties in the global 
bifurcation analysis of quasi-linear elliptic equations. 92d:35042 

— (with Kielhéfer, Hansjérg) Positivity of global branches of fully nonlinear elliptic 
boundary value problems. 92j:35013 

Heikkila, Seppo (with Lakshmikantham, V.; Sun, Yong) Fixed point results in ordered 
normed spaces with applications to abstract and differential equations. 92j:47110 

Heinz, Hans-Peter Lacunary bifurcation of multiple solutions of nonlinear eigenvalue 
problems. 92e:47115 

— Bifurcation from the essential spectrum for nonlinear perturbations of Hill’s equation. 
92e:34115 

Henderson, Johnny (with Yin, Kuo-Chuan) Singular boundary value problems. 92j:34041 

Hernandez, Jorge E. (with Nashed, M. Zuhair) Global invertibility of expanding maps. 
92k:58026 

Hijab, Omar Infinite-dimensional Hamilton-Jacobi equations with large zeroth-order 
coefficient. 92m:35044 

Hirata, Hitoshi The Cauchy problem for Hartree type Schrodinger equation in weighted 
Sobolev space. 92m:47152 

Hofmann, Bernd On a class of ill-posed nonlinear integral equations arising in the 
interpretation of indirect measurements. 92h:45013 

Holly, Konstanty Navier-Stokes equations in R? as a system of nonsingular integral 
equations of Hammerstein type. An abstract approach. 92m:35208 

Howell, G. W. (with Lakshmikantham, V.) A new approach to monotone iterative 
technique for solution of differential equations. 92b:34008 

Huang, Fa Lun (with Liang, Jin; Xiao, Ti Jun) Fixed points of set-valued mappings and 
existence of solutions and periodic solutions to differential inclusions. (Chinese. English 
summary) 92m:47113 

Huang, Xian Kai 27-periodic solutions to n-dimensional Liénard equations at resonance. 
(Chinese. English summary) 92j:34086 

Hyers, D. H. Polynomial operators. 92¢:39030 

(Iacob, A.) see Akhmerov, R. R.; et al., 92k:47104 

Imai, Hitoshi (with Kawarada, Hideo) A method for finding bifurcation points. (Russian 
and Polish summaries) 92h:35020 

Janovsky, Viadimir (with Plechaé, Petr) Computer-aided analysis of imperfect bifurcation 
diagrams. I. Simple bifurcation point and isola formation centre. 92m:65076 

Januszewski, Janusz On the Hammerstein integral equations in Banach spaces. 92a:47074 





i-Prodi problem in 


Nonlinear operators 


47H15 


— On the existence of continuous solutions of nonlinear integral equations in Banach spaces. 
92h:45007 

Kadushin, V. P. On the approximate solution of singular integral equations with complex- 
conjugate unknowns and with monotone operators. (Russian) 92¢:47089 

Kamenskii, M. I. see Akhmerov, R. R.; et al., 92k:47104 

Karamolegos, Antonios (with Kravvaritis, Dimitrios) Nonlinear random operator equations 
and inequalities in Banach spaces. 92m:47144 

Karelina, I.G. see Pokornyi, Yu. V., 92e:34043 

Kartsatos, Athanassios G. Applications of nonlinear perturbation theory to the existence of 
methods of lines for functional evolutions in reflexive Banach spaces. (Polish summary) 
92d:34149 

— On the method of steps for time-dependent delay equations in general Banach spaces. 
924:34150 

Kawarada, Hideo see Imai, Hitoshi, 92h:35020 

Khatskevich, V. A. see Azizov, T. Ya.; et al., 92h:58023 

Kielhéfer, Hansjorg see Healey, Timothy J., 92d:35042 and 92j:35013 

Knaap, Mariette see Comte, Myriam, 92j:35063 

Krasnosel’skii, A.M. On the occurrence of large-amplitude oscillatory regimes in systems 
with saturation. (Russian) 92j:34075 

— (with Krasnosel'skii, M. A.; Kuznetsov, N. A.) Nonlinear systems with incomplete 
corrections and their stability. (Russian) 92j:47123 

Krasnosel'skii, M. A. (with Mawhin, Jean L.; Pokrovskii, A. V.) New theorems on forced 
periodic oscillations and bounded solutions. (Russian) 92m:34091 

— see also Krasnosel'skii, A. M.; et al., 92j:47123 

Kravvaritis, Dimitrios Random semilinear evolution equations in Banach spaces. 92b:47110 

— see also Karamolegos, Antonios, 92m:47144 

Krawcewicz, W. see Erbe, Lynn H., 92c:34015 

Kryszewski, W. An application of A-mapping theory to boundary value problems for 
ordinary differential equations. 92h:34051 

Kubiaczyk, Ireneusz see Dawidowski, Marian, 92f:35150 

Kubicova, Monika Periodic solutions to a nonlinear differential equation of the order 2m + 
1. (Italian summary) 92m:34092 

Kuzin, I. A. Multivalued solvability of some elliptic problems in RY. (Russian) 92k:35092 

— The existence of a countable set of periodic spherically symmetric solutions of the 
nonlinear wave equation. (Russian) 92g:35021 

Kuznetsov, N. A. see Krasnosel’skii, A. M.; et al., 92j:47123 

Lakshmikantham, V. see Howell, G. W., 92b:34008 and Heikkila, Seppo; et al., 92j:47110 

Lanza de Cristoforis, Massimo (with Antman, Stuart S.) Cavitational flow past a nonlin- 
early elastic panel. 92h:76014 

Lassonde, Marc Réduction du cas multivoque au cas univoque dans les problémes de 
coincidence. (English summary) [Reduction of the multivalued case to the single-valued 
case in coincidence problems] 92h:47086 

Latecki, Longin see Babiatiski, Wojciech; et al., 92m:44015 

Lazer, Alan C. (with McKenna, P. J.) Large-amplitude periodic oscillations in suspension 
bridges: some new connections with nonlinear analysis. 92g:73059 

— (with McKenna, P. J.) Nonlinear flexings in a periodically forced floating beam. 
92d:73031 

— see also Fonda, A., 92h:34082 

Lee, John Walter see Granas, Andrzej; et al., 92d:34041 

Lee, Y.S. Singular perturbation of a nonlinear time-dependent problem in Hilbert space. 
92a:34069 

Lehtonen, A. On the construction of Ljusternik-Schnirel/mann critical values in Banach 
spaces. 92i:58034 

Letavin, M. 1. Stability of evolution equations with a nonlinear first approximation. 
(Russian) 92k:47133 

Liang, Jin see Huang, Fa Lun; et al., 92m:47113 

Lichawski, Kazimierz (with Matkowski, Janusz; Mis, Jerzy) Locally defined operators in the 
space of differentiable functions. (Russian summary) 92e:47123 

Liu, Bo Iterative solutions to simple bifurcation. (Chinese. English summary) 92m:47135 

Liu, Jia Quan A note on resonance problem. (Italian summary) 92g:34022 

Liu, Qing Rong (with Sun, Wan Gui) Multiplicity of solutions to Hammerstein’s equations 
and their applications. (Chinese. English summary) 92m:47142 

(Lépez-Gémez, Julian) see Xie, Bi Hua, 92h:58042 

Lupo, D. (with Micheletti, A.M.) An application to bifurcation problems of cusps in 
Banach spaces. 92i:58037 

Lyashko, A. D. see Dautov, R. Z.; et al., 92f:65064 

Manasevich, Raul F. see Del Pino, Manuel A., 92g:35028 and 92m:34055 

Marino, Giuseppe see Canetti, A.; et al., 92g:47084 

Martinez-Amores, Pedro (with Mawhin, Jean L.; Ortega, Rafael; Willem, M.) Generic 
results for the existence of nondegenerate periodic solutions of some differential systems 
with periodic nonlinearities. 92h:34055 

Maruyama, Toru A variational problem governed by a multi-valued differential equation in 
a separable Hilbert space. 92b:49009 

Matkowski, Janusz see Lichawski, Kazimierz; et al., 92e:47123 

Mawhin, Jean L. (with Schmitt, Klaus) Nonlinear eigenvalue problems with the parameter 
near resonance. 924:34046 

— see also Martinez-Amores, Pedro; et al., 92h:34055; Capietto, Anna; et al., 92h:34131 and 
Krasnosel’skii, M. A.; et al., 92m:34091 

McKenna, P. J. see Lazer, Alan C., 92d:73031 and 92g:73059 

Mehta, Ghanshyam (with Tarafdar, E.) Existence of maximal elements and equilibria. 
92a:90103 

Mei, Zhen Solution branches at corank-2 bifurcation points with symmetry. 92i:58040 

— see also Allgower, Eugene L.; et al., 92e:58044 

MeYnik, V.S. Extremal problems for operator-differential systems. (Russian) 92g:49003 

Memory, Margaret C. Stable and unstable manifolds for partial functional-differential 
equations. 92a:35156 

Metzen, Gerhard Semilinear fourth order boundary value problems. 92d:34047 

Micheletti, A.M. see Lupo, D., 92i:58037 

Miller, Célia Peitl see Akashi, Wilson Yoshihiro, 92j:47117 

Mis, Jerzy see Lichawski, Kazimierz; et al., 92e:47123 





47H15 


Miyagaki, Olimpio H. see Goncalves, J. V. A., 92d:35101; 92k:35091 and de Figueiredo, 
Djairo G., 92k:35100 

Mizoguchi, Noriko Nontrivial solutions of semilinear elliptic equations with continuous or 
discontinuous nonlinearities. 92m:35093 

Mauria, Alejandro E. see Del Pino, Manuel A.; et al., 92m:34055 

Mydlarczyk, W. The existence of nontrivial solutions of Volterra equations. 92i:47090 

— The existence of nontrivial solutions of Volterra equations. 92i:47090 

Nagle, R. Kent (with Sinkala, Zachariah) Semilinear equations at resonance where the 
kernel has dimension two. 92j:34042 

Nakamura, Masa-Aki On an equilibrium of the plasma in a tokamak with a limiter. 
92j:35180 

Naselli Ricceri, Ornella (with Ricceri, Biagio) Differential inclusions depending on a 
parameter. (Russian summary) 92¢:34021 

Nashed, M. Zuhair (with Nguyén Xuan Tan) Nontrivial solutions of nonlinear equations 
from simple eigenvalues and their stability. 92m:34142 

— see also Hernandez, Jorge E., 92k:58026 

Nguyén Hong Thai see Zabreiko, P. P., 92h:47096 

Nguyén Xuan Tan Bifurcation problems for equations involving Lipschitz continuous 
mappings. 92a:58029 

— see also Nashed, M. Zuhair, 92m:34142 

Nicolosi, Francesco see Drabek, Pavel, 92k:35099 

Nieto, Juan J. (with Sree Hari Rao, V.) Periodic solutions for scalar Liénard equations. 
92j:34044 

— Periodic-Neumann boundary value problem for nonlinear parabolic equations and 
application to an elliptic equation. 92¢e:35028 

Nowakowski, Andrzej (with Rogowski, Andrzej) Periodic solutions for a class of nonlinear 
hyperbolic equations. 92i:49007 

Omari, Pierpaolo see Gossez, Jean-Pierre, 92¢:35071 and 92m:34090 

O’Regan, Donal Boundary value problems for second and higher order differential 
equations. 92b:34036 

Ortega, Rafael see Martinez-Amores, Pedro; et al., 92h:34055 

Paivarinta, Lassi (with Runst, Thomas) Multiplicity results for semilinear elliptic boundary 
value problems in Besov and Triebel-Lizorkin spaces. 92j:35070 

Pan, Xing Bin Solutions of elliptic equations Au + K(x)e2“ = f(x). 92h:35073 

Pankov, A. A. * Bounded and almost periodic solutions of nonlinear operator differential 
equations. 92f:35002 

Park, Sehie Necessary and sufficient conditions for the existence of solutions to operator 
equations. 92b:47095 

Pavel, Nicolae H. see Aizicovici, Sergiu, 92k:34078 

Pavienko, V. N. On the existence of semiregular solutions of the first boundary value prob- 
lem for an equation of parabolic type with a discontinuous nonmonotone nonlinearity. 
(Russian) 92a:35169 

Pera, Maria Patrizia see Furi, Massimo, 92f:58146 

Pesjsachowicz, Jacobo see Fitzpatrick, P. M., 92g:58019 

Pianigiani, G. see De Blasi, F. S., 92h:34037 

Pietramala, Paolamaria see Canetti, A.; et al., 92g:47084 

Plechdé, Petr see Janovsky, Viadimir, 92m:65076 

Pokornyi, Yu. V. (with Karelina, I.G.) Nonlinear comparison theorems on graphs. 
(Russian. Ukrainian summary) 92¢:34043 

Pokrovskii, A. V. see Krasnosel’skii, M. A.; et al., 92m:34091 

Poreda, Tadeusz Generalized differential equations for maps of Banach spaces. 92j:47139 

— On generalized differential equations in Banach spaces. 92i:34079 

Potapov, A.S. see Akhmerov, R. R.; et al., 92k:47104 

Pozio, Maria Assunta see Bandle, Catherine, 92f:35063 

Pozzi, Gianni Arrigo see Bernardi, Marco Luigi, 92m:47136 

Precup, Radu Topological transversality and boundary problems for second-order 
functional-differential equations. (see 92m:49004) 

Pruszko, Tadeusz see Geba, Leszek, 92m:35072 

Przybycin, Jolanta Some applications of bifurcation theory to ordinary differential 
equations of the fourth order. 92e:58043 

Rappaz, Jacques see Crouzeix, Michel, 924:65003 

Rassias, Themistocles M. On a modified Hyers-Ulam sequence. 924:46046 

— (with Semrl, Peter) On the behavior of mappings which do not satisfy Hyers-Ulam 
stability. 92g:47101 

Ratiner, N. M. see Zvyagin, V. G., 92g:47091 

Ricceri, Biagio see Naselli Ricceri, Ornella, 92e:34021 

Robinson, Stephen M. An implicit-function theorem for a class of nonsmooth functions. 
92g:58013 

Rodkina, A. E. see Akhmerov, R. R.; et al., 92k:47104 

Rogowski, Andrzej see Nowakowski, Andrzej, 92i:49007 

Rosati, Mario Valerio see Geymonat, Giuseppe; et al., 92m:73083 

Ruf, Bernhard Singularity theory and the geometry of a nonlinear elliptic equation. 
924:35107 

— see also de Figueiredo, Djairo G., 92j:34037 

Rumbos, Adolfo A semilinear elliptic boundary value problem at resonance where the 
nonlinearity may grow linearly. 92¢e:35074 

Runst, Thomas see Piivarinta, Lassi, 92j:35070 and Geisler, Michael, 92k:46048 

Rybakowski, Krzysztof P. Formulas for higher-order Fréchet derivatives of composite maps, 
implicitly defined maps and solutions of differential equations. 92j:58010 

Rynne, B. P. Bifurcation from eigenvalues in nonlinear multiparameter problems. 
924:47080 

Rzepecki, Bogdan On the hyperbolic equation z,, = f(x,y, z) in Banach spaces. 92c:35119 

Saccon, Claudio see Frigon, Marlene, 92k:35167 

Sadovskii, B. N. see Akhmerov, R. R.; et al., 92k:47104 

Sanchez, Luis Boundary value problems for some fourth order ordinary differential 
equations. 92g:34024 

Scarpellini, Bruno Stable manifold constructions for nonlinear wave equations. 92j:35129 

Schaaf, Renate (with Schmitt, Klaus) Periodic perturbations of linear problems at 
resonance on convex domains. 92a:35046 


OPERATOR THEORY 


1992 808 


— (with Schmitt, Klaus) Asymptotics for solution branches of semilinear elliptic problems 
at resonance. 92k:35106 

Schechter, Martin Solution of nonlinear problems at resonance. 92b:35057 

— Nonlinear elliptic boundary value p at resonance. 92b:35063 

— The mountain pass alternative. 92d:58033 

— (with Tintarev, Kyril) Points of spherical maxima and solvability of semilinear elliptic 
equations. 92i:47076 

Schmitt, Klaus (with Wang, Zhi Qiang) On bifurcation from infinity for potential 
operators. 92i:58038 

— see also Schaaf, Renate, 92a:35046; Mawhin, Jean L., 92d:34046 and Schaaf, Renate, 
92k:35106 

Schroeder, Gary H. L’(R) bounds on the solution of u, — Ap(u) = f for 1 < p < oo. 
92m:35123 

Semrl, Peter see Rassias, Themistocles M., 92g:47101 

Shapiro, Victor L. Quasilinear ellipticity and the Ist eigenvalue. 92j:35053 

Shatah, Jalal see Grillakis, Manoussos G.; et al., 92a:35135 

Shibata, Tetsutaro The relationship between the variational eigenvalues and its critical 
values for semilinear Sturm-Liouville problems. (Italian summary) 92i:34031 

Shoikhet, D. M. see Azizov, T. Ya.; et al., 92h:58023 

Silva, Elves Alves de B.e see Costa, David G., 92i:58033 

Sinkala, Zachariah Existence of T-periodic solutions to second order nonlinear systems at 
resonance. 92k:34026 

— see also Nagle, R. Kent, 92j:34042 

Smiley, Michael W. Complex-valued time-periodic solutions and breathers of nonlinear 
wave equations. 92b:35099 

Sobolev, A. V. (with Sobolev, V. I.) Differentiability of a Hammerstein operator and 
solvability of a nonlinear Hammerstein equation. (Russian) 92d:47090 

Sobolev, V.I. see Sobolev, A. V., 92d:47090 

Sofonea, Mircea Some remarks concerning a class of nonlinear evolution equations in 
Hilbert spaces. 924:34130 

Solovév, S. 1. see Dautov, R. Z.; et al., 92f:65064 

Song, Fu Min Generalized relative degrees of W-A-proper mappings and their applications. 
(Chinese) 92f:47065 

Sosulski, Wiadystaw On neutral partial functional-differential inclusions of hyperbolic type. 
92h:35231 

Sprekels, Jiirgen see Gomes, Sénia M., 92h:47081 

Sree Hari Rao, V. see Nieto, Juan J., 92j:34044 

Staicu, Vasile see Cellina, Arrigo, 92c:34014 

Strauss, Walter Alexander see Grillakis, Manoussos G.; et al., 92a:35135 

Stroescu, Elena Existence and perturbation for nonlinear eigenvalue problems. 92a:47071 

Su, Yong Fu The Hahn-Banach theorem for a class of linear functionals in probabilistic 
normed spaces and its applications. (Chinese. English summary) 92h:46114 

Sun, Jing Xian Some new fixed point theorems of increasing operators and applications. 
92g:47087 

Sun, Wan Gui see Liu, Qing Rong; et al., 92m:47142 

Sun, Yong Unique solution to periodic boundary value problems. 92h:34060 

— see also Heikkila, Seppo; et al., 92j:47110 

Talpalaru, Pavel On periodic solutions of nonlinear differential equations in Banach spaces. 
92£:34056 

Tarafdar, E. see Mehta, Ghanshyam, 92a:90103 

Taskinen, Jari Factorization of multilinear differential operators with constant coefficients. 
92k:47068 

Tataru, Daniel Time dependent m-accretive operators generating differential evolutions. 
92f:47070 

Teodoru, Georgeta Absolutely continuous solutions of Cauchy problem for a multi-valued 
hyperbolic equation. (Romanian summary) 92¢:35133 

— Continuous selections for multifunctions satisfying the Carathéodory type conditions. 
The Cauchy problem associated to a multi-valued equation. (Romanian summary) 
92k:35306 

— Continuous selections of multi-valued maps with nonconvex right-hand side and the 
Goursat problem for the multi-valued hyperbolic equation 87z/8xdy € F(x, y, z). 
92¢:35134 

— An application of the contraction principle of Covitz and Nadler to the Darboux problem 
for a multivalued equation. 92d:35320 

Tintarev, Kyril see Schechter, Martin, 92i:47076 

Troshchiev, Yu. V. see Elenin, G. G., 92j:65076 and 92k:65087 

Tverskoi, M. B. Steady flow of a heavy fluid over an uneven periodically changing bottom. 
(Russian) 92m:76030 

— New classes of solutions of a nonlinear operator equation that describes the steady flow of 
a floating fluid over an uneven bottom. (Russian) 92m:76031 

Valente, Vanda see Geymonat, Giuseppe; et al., 92m:73083 

Vegas, José M. A functional-analytic framework for the study of elliptic equations on 
variable domains. 924:35111 

Vidossich, Giovanni Periodic solutions of hyperbolic equations using ordinary differential 
equations. 92g:35022 

Viadimirov, A. A. Differential inclusions with nonstationary maximal monotone operators. 
(Russian) 92¢:34018 

Voller, R. L. Solving Volterra-Lotka systems with diffusion by monotone iteration. 
92h:92014 

Wang, Hai Yan Solvability of some boundary value probl 
S(t,y,y’). (Chinese) 92¢:34031 

Wang, Ke! On the existence and uniqueness of periodic solutions of Volterra integral 
differential equations. 92e:34103 

Wang, Zhi Qiang see Schmitt, Klaus, 92i:58038 

Welsh, Stewart C. Sufficient conditions for periodic solutions to a class of second-order 
differential equations. 92g:34026 

Willem, M. see Martinez-Amores, Pedro; et al., 92h:34055 and Fournier, Gilles, 92k:58045 

Xiao, Ti Jun see Huang, Fa Lun; et al., 92m:47113 

Xie, Bi Hua A note on: “Multiparameter local bifurcation based on the linear part” [J. Math. 
Anal. Appl. 138 (1989), no. 2, 358-370; MR 90b:58038] by J. Lépez-Gomez. (Chinese. 








for the equation (a(t, y)y’)’ = 





809 1992 


English summary) 92h:58042 

Yagi, Atsushi Abstract quasilinear evolution equations of parabolic type in Banach spaces. 
(Italian summary) 92h:47100 

Yao, Jen Chih Applications of variational inequalities to nonlinear analysis. 92c:47080 

Yin, Kuo-Chuan see Henderson, Johnny; et al., 92j:34041 

Yudovich, V. I. Cosymmetry, degeneration of solutions of operator equations, and the onset 
of filtration convection. (Russian) 92m:47157 

Zabreiko, P. P. (with Nguyén Hong Thai) New theorems on the solvability of Hammerstein 
operator and integral equations. (Russian) 92h:47096 

— Abstract relationship principles in the theory of nonlinear operator equations. 92e:47114 

Zanolin, Fabio see Capietto, Anna; et al., 92h:34131 

(Zayachkovskii, V.S.) see Pankov, A. A., 92f:35002 

Zecca, Pietro see Anichini, Giuseppe; et al., 92k:34020 

Zeng, Wen Zhi Probability contractors and equations in probabilistic normed spaces. 
(Chinese. English summary) 92e:47133 

Zhang, Bo! see Burton, T. A., 92e:34085 

Zhang, Shi Sheng (with Chen, Yu Qing) On the existence of solutions for equations 
with accretive mappings in probabilistic normed spaces. (Chinese. English summary) 
92b:47086 

— Some existence theorems of common and coincidence solutions for a class of systems 
of functional equations arising in dynamic programming. (Chinese. English summary) 
92¢:90121 

Zheng, Quan? Global solutions to abstract differential equations and their applications. 
(Chinese) 92h:34111 

Zhong, Cheng Kui Computation of the topological degree of equivariant completely 
continuous fields in Banach spaces. (Chinese) 92i:47075 

Zou, Bao Kang Iterative approximation of the solution of a locally Lipschitzian equation. 
(Chinese. English summary) 92h:47090 

Zuazma, Enrike see Escobedo, Miguel, 92k:35090 

Zaluaga Uribe, Mario The generalized Hammerstein integral operators on Hilbert spaces. 
92i:47091 

Zvyagin, V.G. (with Ratiner, N. M.) Oriented degree of Fredholm mappings of nonnega- 
tive index and its application to a problem on the global bifurcation of solutions. (Rus- 
sian) 92g:47091 

— The oriented degree of a class of perturbations of Fredholm mappings and the bifurcation 
of the solutions of a nonlinear boundary value problem with noncompact perturbations. 
(Russian) 92m:58020 





47H17 Methods for solving equations involving nonlinear 
operators [see also 58C15] {For numerical analysis, 
see 65J15.} 


Argyros, Ioannis K. Nonlinear operator equations and pointwise convergence. 92b:47106 

— On Newton’s method for solving nonlinear equations and multilinear projections. 
92b:47107 

— On some projection methods for approximating fixed points of nonlinear equations in 
Banach space. 92a:47072 

— On some projection methods for solving nonlinear operator equations with a nondifferen- 
tiable term. 92m:47133 

— (with Szidarovszky, Ferenc) On the monotone convergence of algorithmic models. 
92m:47134 

Carbone, Antonio Iterative construction of solutions of functional equations involving 
multivalued operators in L? spaces. 92a:47073 

Konstantinova, Ya. V. (with Liskovets,O. A.) Regularization of equations of the first kind 
with a quasimonotone operator. (Russian. English summary) 92e:47119 

Kosmol, Peter (with Zhou, Xin Long) The limit points of affine iterations. 92f:47067 

Liskovets,O. A. see Konstantinova, Ya. V., 92e:47119 

Liu, Bo Iterative solutions to simple bifurcation. (Chinese. English summary) 92m:47135 

Nguen Dyk Fien A generalization of a theorem of I. P. Mysovskikh. (Russian) 92¢:47078 

Ryazantseva, I. P. The minimal residual principle in nonlinear monotone problems. 
(Russian) 92f:47068 

Szidarovszky, Ferenc see Argyros, Ioannis K., 92m:47134 

Verma, Ram U. Inner approximation-solvability of nonlinear equations. 

Zhou, Xin Long see Kosmol, Peter, 92f:47067 


Items with secondary classifications in 47H17 

Akbarov, D. E. (with Ivanenko, V. 1.) Extremal problems for equations of Hammerstein 
type. (Russian) 92m:47141 

Al-Thukair, Fawzi A. An iterative algorithm for the order complementarity problems. 

Argyros, Ioannis K. Improved error bounds for a certain class of Newton-like methods. 
92a:65188 

— On some generalized projection methods for solving nonlinear operator equations with a 
nondifferentiable term. 92g:65065 

— On some projection methods for enclosing the root of a nonlinear operator equation. 
924:65101 

— A mesh independence principle for nonlinear equations using Newton’s method and 
nonlinear projections. 92¢:65076a 

— A note on Newton’s method. 92e:65076b 

— On the solution of compact linear and quadratic operator equations in a Hilbert space. 
92¢:65076c 

— Approximating Newton-like procedures. 

— Some generalized projection methods for solving operator equations. 92m:65079 

Attouch, Hédy (with Penot, Jean-Paul; Riahi, Hassan) The continuation method and 
variational convergence. (French summary) 92m:47123 


Babich, M. D. An approximation-iterative method for solving nonlinear operator equations. 


(Russian. English and Ukrainian summaries) 92¢:65077 
Bohmer, Klaus (with Mei, Zhen) On a numerical Lyapunov-Schmidt method. 92a:65189 
Botsenyuk, A. N. (with Pankov, A. A.) The method of fractional steps generated by the 
splitting of the phase space. (Russian) 92¢:34079 


47H Nonlinear operators 


47H17 


Bugajewski, Dariusz (with Szufla, Stanislaw) On the existence of L?'”2-solutions of the 
Hammerstein integral equation in Banach spaces. 92g:47092 

Candela, V. (with Marquina, A.) Recurrence relations for rational cubic methods. II. The 
Chebyshev method. (German summary) 92h:65091 

Coroian, Lia On a theorem of Dieudonné. 92d:34127 

Dautov, R. Z. (with Lyashko, A. D.; Solovév, S. I.) Convergence of the Bubnov-Galerkin 
method with perturbations for symmetric spectral problems with nonlinear appearance of 
the parameter. (Russian) 92f:65064 

Ding, Xie Ping Iterative methods for solutions to generalized variational inequalities and 
complementarity problems. (Chinese. English summary) 92k:47129 

Guo, Ben Yu On weak stability of discretization for operator equation. 92d:65104 

Ha, Ki Sik (with Jung, Jong Soo) Convergence of approximants in Banach spaces. 
92f:47059 

Ivanenko, V.I. see Akbarov, D. E., 92m:47141 

Jung, Jong Soo (with Takahashi, Wataru) Dual convergence theorems for the infinite 
products of resolvents in Banach spaces. 92k:47102 

— see also Ha, Ki Sik, 92f:47059 

Kadushin, V. P. On the approximate solution of singular integral equations with complex- 
conjugate unknowns and with monotone operators. (Russian) 92¢:47089 

Kanda, Makoto see Shintani, Hisayoshi, 922:65199 

Kelley, C.T. (with Sachs, E. W.) A new proof of superlinear convergence for Broyden’s 
method in Hilbert space. 92a:49053 

— (with Sachs, E. W.) Fast algorithms for compact fixed point problems with inexact 
function evaluations. 92i:65095 

Kokurin, M. Yu. An approach to the correction of incompatible variational inequalities. 
(Russian) 92m:47137 

Krasnosel'skii, A.M. (with Krasnosel’skii, M. A.; Kuznetsov, N. A.) Nonlinear systems 
with incomplete corrections and their stability. (Russian) 92j:47123 

Krasnosel’skii, M. A. see Krasnosel’skii, A. M.; et al., 92j:47123 

Kurchatov, V. A. Optimization, with respect to the number of arithmetic operations and 
entropy, of difference methods of linearization. (Russian) 92a:65192 

Kuznetsov, N. A. see Krasnosel’skii, A. M.; et al., 92j:47123 

Ledzewicz-Kowalewska, Urszula Application of the Moser’s technique to the tangent 
direction problem for certain class of nonlinear evolution equations. 92a:65193 

Liskovets, O. A. Regularization of ill-posed mixed variational inequalities. (Russian) 
92i:47085 

Liu, Xinzhi Monotone iterative technique for impulsive differential equations in a Banach 
space. 92g:34014 

Loginov, B. V. (with Sidorov, N. A.) Group symmetry of the Lyapunov-Schmidt branching 
equation, and iterative methods in the bifurcation point problem. (Russian) 92i:47077 

Luchka, A. Yu. Sufficient conditions for the convergence of a modified projection-iterative 
method for equations with weak nonlinearity. (Russian. Ukrainian summary) 92a:65195 

— A variational-iterative method for nonlinear equations. (Russian. Ukrainian summary) 
924:65105 

Lyashko, A. D. see Dautov, R. Z.; et al., 92f:65064 

Marquina, A. see Candela, V., 92h:65091 

Mei, Zhen see Bohmer, Klaus, 92a:65189 

Meleshko, V.1I. Accelerated regularized methods for calculating solutions of nonlinear 
nonregular equations. (Russian) 92a:65196 

Miklavéit, Milan Galerkin approximations for weakly nonlinear second order evolution 
equations. 92b:65044 

Moore, Chika Iterative approximation of the solution to a k-accretive operator equation in 
certain Banach spaces. 92e:47117 

Moret, Igor Updated projections in continuation methods. 92b:65045 

— (with Omari, Pierpaolo) A quasi-Newton method for solving fixed point problems in 
Hilbert spaces. 92¢:65080 

Mydlarcezyk, W. Galerkin methods for multidimensional nonlinear Volterra type equations. 
92:65158 

Neubauer, Andreas (with Scherzer, Otmar) Finite-dimensional approximation of Tikhonov 
regularized solutions of nonlinear ill-posed problems. 92a:65202 

Nguyén Hong Thai see Zabreiko, P. P., 92h:47096 

Noor, Muhammad Aslam A computational method for variational inequalities. (see 
92m:65004) 

— An iterative algorithm for variational inequalities. 92i:47087 

Omari, Pierpaolo see Moret, Igor, 92¢:65080 

Pankov, A. A. see Botsenyuk, A. N., 92e:34079 

Penot, Jean-Paul see Attouch, Hédy; et al., 92m:47123 

Pitonyak, A. (with Shi, Peter; Shillor, Meir) On an iterative method for variational 
inequalities. 92b:49020 

Puzynin, I. V. see Zhanlav, T., 92g:65079 and 92k:65094 

Riahi, Hassan see Attouch, Hédy; et al., 92m:47123 

Roos, Hans-Gérg An analytically oriented discretization technique for boundary value 
problems. 92h:34058 

Sachs, E. W. see Kelley, C. T., 92a:49053 and 92i:65095 

Sapronov, Yu. I. Nonlocal finite-dimensional reductions in variational boundary value 
problems. (Russian) 92g:35144 

Scherzer, Otmar see Neubauer, Andreas, 92a:65202 

Schneider, Klaus R. On a theorem of J. Schréder. 92a:65198 

Shi, Peter see Pitonyak, A.; et al., 92b:49020 

Shillor, Meir see Pitonyak, A.; et al., 92b:49020 

Shintani, Hisayoshi (with Kanda, Makoto) Extended systems for numerical computation 
of double and triple turning points. 92a:65199 

Sidorov, N. A. see Loginov, B. V., 92i:47077 

Solovév, S. 1. see Dautov, R. Z.; et al., 92f:65064 

Strelkova, N. A. Acceleration of the convergence of the Vietoris method for solving operator 
equations. (Russian) (see 92f:70001) 

Stroescu, Elena Existence and perturbation for nonlinear eigenvalue problems. 92a:47071 

Szufla, Stanislaw see Bugajewski, Dariusz, 92g:47092 

Takahashi, Wataru see Jung, Jong Soo, 92k:47102 





47H17 


Trofimchuk, E. P. Integral operators of the method of successive periodic approximations. 
(Russian) 92¢:47124 

Verma, Ram U. Approximation-solvability and numerical ranges in Banach spaces. 
92:65072 

— Role of numerical range in approximation-solvability of nonlinear functional equations. 

Yamamoto, Tetsuro Unified convergence analysis for a class of iterative methods for solving 
nonlinear equations. 92i:65101 

Yao, Jen Chih Applications of variational inequalities to nonlinear analysis. 92c:47080 

Zabreiko, P. P. (with Nguyén Hong Thai) New theorems on the solvability of Hammerstein 
operator and integral equations. (Russian) 92h:47096 

Zhanlav, T. (with Puzynin, I. V.) * Urepamnonnas cxeMa JIA HETMHeHHBIX 34/124, 
OCHOBaHHasd Ha MeToe ycTaHoBseHua. (Russian) [An iterative scheme for nonlinear 
problems that is based on the stabilization method] 92g:65079 

— (with Puzynin, I. V.) *% CxogHMocT» HTepal{HOHHOM HbIOTOHOBCKOH CxeMbI. (Russian) 
[Convergence of an iterative Newtonian scheme] 92k:65094 


47H19 Inequalities involving nonlinear operators [see also 49J27, 
49340, 49K27] 


Bernardi, Marco Luigi (with Pozzi, Gianni Arrigo) On a class of singular nonlinear 
parabolic variational inequalities. (Italian summary) 92m:47136 

Bose, Ramendra Krishna On a general nonlinear variational inequality. 92g:47099 

Ding, Xie Ping Iterative methods for solutions to generalized variational inequalities and 
complementarity problems. (Chinese. English summary) 92k:47129 

Huang, Nan Jing see Zhang, Shi Sheng, 92m:47139 

Kokurin, M. Yu. An approach to the correction of incompatible variational inequalities. 
(Russian) 92m:47137 

Kuo, Chung Shéng (with Yao, Jen Chih) Extension of strongly nonlinear quasivariational 
inequalities. 

Li, Bing You see Yan, Xin Li; et al., 92k:47131 

Liskovets, O. A. Regularization of ill-posed mixed variational inequalities. (Russian) 
92i:47085 

— Regularization of mixed incorrect variational inequalities of monotonic type. 92j:47131 

Miersemann, Erich (with Mittelmann, Hans D.) Extension of Beckert’s continuation 
method to variational inequalities. 92k:47130 

— (with Mittelmann, Hans D.) On the stability in obstacle problems with applications to the 
beam and plate. (German and Russian summaries) 92i:47086 

Mittelmann, Hans D. see Miersemann, Erich, 92i:47086 and 92k:47130 

Nguyén Minh Chu’o’ng (with Nguyen Van Kinh) Regularization of variational inequalities 
with perturbed nonmonotone and discontinuous operators. (Russian) 

Nguyen Van Kinh see Nguyén Minh Chu’o’ng 

Noor, Muhammad Aslam Some classes of variational inequalities. 92j:47132 

— An iterative algorithm for variational inequalities. 92i:47087 

Panagiotopoulos, P. D. Coercive and semicoercive hemivariational inequalities. 92m:47138 

Park, Sehie Variational inequalities and extremal principles. 92h:47094 

Pozzi, Gianni Arrigo see Bernardi, Marco Luigi, 92m:47136 

Quittner, Pavol A remark on the stability of stationary solutions of parabolic variational 
inequalities. 92:47069 

Tarafdar, E. Nonlinear variational inequality with application to the boundary value 
problem for quasilinear operator in generalized divergence form. 92c:47079 

Xiang, Shu Wen see Zhang, Shi Sheng; et al., 92g:47100 

Yan, Xin Li (with Li, Bing You) Generalized variational inequalities and minimax 
theorems. (Chinese. English summary) 92k:47131 

Yao, Jen Chih Applications of variational inequalities to nonlinear analysis. 92¢:47080 

— see also Kuo, Chung Shéng 

Zhang, Shi Sheng (with Xiang, Shu Wen) On the existence and uniqueness of solutions for 
a class of variational inequalities with applications to the Signorini problem in mechanics. 
(Chinese. English summary) 92g:47100 

— (with Huang, Nan Jing) Generalized multivalued implicit complementarity problems in 
Hilbert spaces. 92m:47139 


Items with secondary classifications in 47H19 

Argyros, Ioannis K. On the convergence of some projection methods with perturbation. 
921:65065 

Ben-El-Mechaiekh, Hichem Note on a class of set-valued maps having continuous 
selections. (French summary) 92j:47106 

Bernardi, Marco Luigi (with Luterotti, Fabio; Pozzi, Gianni Arrigo) On a class of singular 
or degenerate hyperbolic variational inequalities. 92j:35130 

Bertoluzza, S. Discretization of parabolic inequalities. 92b:65059 

Deguire, Paul Quelques inégalités abstraites. (English summary) [Some abstract inequali- 
ties] 92h:47078 

Dinca, G. (with Matei, P.) On the regularity of the solutions of a climatization problem 
in the torsion of cylindrical rods in the Hencky-Nadai theory, using the Orlicz-Sobolev 
spaces. 92¢:73030 

Ding, Xie Ping Quasi-variational inequalities and social equilibrium. (Chinese. English 
summary) 92i:49018 

— Browder-Hartman-Stampacchia variational inequalities for set-valued quasimonotone 
operators. (Chinese. English summary) 92i:49017 

Du’o’ng Trong Nhan On coincidence theorems for set-valued mapping and variational 
inequalities. 92i:47063 

Frigon, Marlene (with Saccon, Claudio) Heat equations with discontinuous nonlinearities 
on convex and nonconvex constraints. 92k:35167 

Gallo, Angela (with Piccirillo, Anna Maria) On a class of first-order evolutionary 
variational inequalities. (Italian. English summary) 92j:35105 

Gatica, Gabriel N. (with Hsiao, George C.) On a class of variational formulations for some 
nonlinear interface problems. (Italian summary) 92m:35089 

Giannoni, Fabio Multiplicity of solutions for elliptic inequalities in presence of symmetries. 
(Italian summary) 92b:35069 

Guillerme, Jean Les inégalités “Inf-Sup < Sup-Inf”. (English summary) [The inequalities 
“Inf-Sup < Sup-Inf”] 92j:47136 


OPERATOR THEORY 


Guo, Shao Mu see Lei, Jin Gan; et al., 92k:49017 

Gwinner, Joachim Discretization of semicoercive variational inequalities. 92h:49031 

Hlavatek, Ivan (with Lovisek, Jan) Optimal design of an elastic or elastoplastic beam 
with unilateral elastic foundation and rigid supports. (German and Russian summaries) 
92m:73089 

Hsiao, George C. see Gatica, Gabriel N., 92m:35089 

Tonescu, Ioan R. (with Rosca, Ioan) Sobolev solutions for convex variational problems in 
locally convex spaces. (see 92m:49004) 

Isac, G. A special variational inequality and the implicit complementarity problem. 
92b:49017 

Kassay, G. (with Kolumban, I.) On a theorem of Brézis, Nirenberg and Stampacchia. 
92g:47093 

Kolumban, I. see Kassay, G., 92g:47093 

Kovalevskii, A. A. G-convergence of abstract operators defined on weakly connected spaces. 
(Russian. English summary) 92m:47145 

Lei, Jin Gan (with Guo, Shao Mu) Approximation of solutions to variational inequalities 
on the basis of weak convergence of sets. (Chinese) 92k:49017 

Lippold, Ginter Error estimates for the implicit Euler approximation of an evolution 
inequality. 92a:65194 

Liskovets, O. A. Discrete regularization of optimal control problems on ill-posed monotone 
variational inequalities. (Russian) 92b:49015 

Lovisek, Jan see Hlavatek, Ivan, 92m:73089 

Luterotti, Fabio see Bernardi, Marco Luigi; et al., 92j:35130 

Ma, Yi Hai see Zhang, Shi Sheng, 92k:47117 

Maksimov, V. I. Dynamical identification of controls for parabolic variational inequalities. 
92m:49011 

Matei, P. see Dinca, G., 92c:73030 

Melnik, V.S. Some properties of weak solutions of operator equations and variational 
inequalities. (Russian. English summary) 92m:47128a 

— On extremal regularization and splitting of evolutional variational inequalities. (Russian. 
English summary) 92m:49012 

— Some properties of solutions of operator equations and variational inequalities. (Russian) 
92m:47128b 

Naselli Ricceri, Ornella On the covering dimension of the fixed point set of certain 
multifunctions. 92m:47117 

Noor, Muhammad Aslam A computational method for variational inequalities. (see 
92m:65004) 

— General algorithm and sensitivity analysis for variational inequalities. 92k:49018 

Panagiotopoulos, P. D. Optimal control of systems governed by hemivariational inequali- 
ties. Necessary conditions. 92d:49015 

— Coercive hemivariational inequalities and applications. (Italian summary) 924:49016 

Papageorgiou, Nikolaos S. Sensitivity analysis of evolution inclusions and its applications to 
the variational stability of optimal control problems. 92a:34017 

Piccirillo, Anna Maria see Gallo, Angela, 92j:35105 

Pitonyak, A. (with Shi, Peter; Shillor, Meir) On an iterative method for variational 
inequalities. 92b:49020 

Pozzi, Gianni Arrigo see Bernardi, Marco Luigi; et al., 92j:35130 

Quittner, Pavol An instability criterion for variational inequalities. 92b:58059 

Rosca, Ioan see Ionescu, Ioan R., (92m:49004) 

Saccon, Claudio see Frigon, Marlene, 92k:35167 

Schuricht, Friedemann Minimax principle for eigenvalue variational inequalities in the 
nonsmooth case. 92i:58052 

Shi, Peter see Pitonyak, A.; et al., 92b:49020 

Shillor, Meir see Pitonyak, A.; et al., 92b:49020 

Tian, Guo Qiang (with Zhou, Jian-Xin) Quasi-variational inequalities with noncompact 
sets. 92h:49008 

Wysocki, K. Multiple critical points for variational problems on partially ordered Hilbert 
spaces. (French summary) 92¢:58014 

Yang, Gan Shan see Zhang, Shi Sheng; et al., 92b:47084 

Zhang, Shi Sheng (with Yang, Gan Shan) Some further generalizations of Ky Fan’s 
minimax inequality and its applications to variational inequalities. (Chinese. English 
summary) 92b:47084 

— (with Zhang, Ying!) Generalized KKM theorem and variational inequalities. 92k:47100 

— (with Ma, Yi Hai) Generalized KKM theorem on H-space with applications. 92k:47117 

Zhang, Ying' see Zhang, Shi Sheng, 92k:47100 

Zhou, Jian-Xin see Tian, Guo Q.ang, 92h:49008 


47H20 Semigroups of nonlinear operators and nonlinear evolution 
equations [see also 58D07] 


Adimy, Mostafa Bifurcation de Hopf locale par semi-groupes intégrés. (English summary) 
[Local Hopf bifurcation using integrated semigroups] 92b:47108 

Brzeiniak, Zdzisiaw Asymptotic behaviour as t — oo of solutions to nonlinear evolution 
equations. (Russian summary) 92b:47109 

Colli, Pierluigi (with Visintin, Augusto) On a class of doubly nonlinear evolution equations. 
92e:47120 

Crandall, Michael G. (with Souganidis, Panagiotis E.) On nonlinear equations of evolution. 
92¢:47081 

Dancer, E. N. (with Hess, Peter) Stability of fixed points for order-preserving discrete-time 
dynamical systems. 92i:47088 

Desch, Wolfgang (with Schappacher, W.; Zhang, Kang Pei) Semilinear evolution equations. 
924:47087 

Hess, Peter see Dancer, E. N., 92i:47088 

Jeong, Jae Ug see Park, Jong Yeoul, 92b:47111 

Kanda, Shigeo Existence of solutions to u'(t) = Au(t) for A weakly closed. 92k:47132 

Kobayashi, Yoshikazu (with Oharu, Shinnosuke) Semigroups of locally Lipschitzian 
operators in Banach spaces. 924:47088 

Krawvaritis, Dimitrios Random semilinear evolution equations in Banach spaces. 92b:47110 

Lau, Anthony To Ming Amenability and fixed point property for semigroup of nonexpan- 
sive mappings. (French summary) 92j:47133 





811 1992 


Letavin, M. 1. Stability of evolution equations with a nonlinear first approximation. 
(Russian) 92k:47133 

Miyadera, Isao On the strong asymptotic behavior of asymptotically nonexpansive semi- 
groups in Banach spaces. 92k:47134 

Oharu, Shinnosuke see Kobayashi, Yoshikazu, 92d:47088 

Oppenheimer, Seth F. An abstract spectral approximation theorem from the theory of 
semigroups. 92m:47140 

Park, Jong Yeoul (with Jeong, Jae Ug) Invariant submeans and semigroups of nonexpansive 
mappings on uniformly convex Banach spaces. 92b:47111 

Ruess, W. M. (with Summers, W. H.) Weak almost periodicity and the strong ergodic limit 
theorem for periodic evolution systems. 92c:47082 

Schappacher, W. see Desch, Wolfgang; et al., 92d:47087 

Panagiotis E. see Crandall, Michael G., 92c:47081 

Summers, W. H. see Ruess, W. M., 92c:47082 

Thieme, Horst R. Semiflows generated by Lipschitz perturbations of non-densely defined 
operators. 92¢e:47121 

Visintin, Augusto see Colli, Pierluigi, 92e:47120 

Zhang, Kang Pei see Desch, Wolfgang; et al., 92d:47087 


Items with secondary classifications in 47H20 

Abergel, Frédéric Dimension of invariant sets for Lipschitz continuous semigroups. 
92m:35034 

Amann, Herbert Highly degenerate quasilinear parabolic systems. 92m:35145 

Arino, Ovide (with Kimmel, Marek) Asymptotic behavior of nonlinear semigroup 
describing a model of selective cell growth regulation. 92d:92025 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Nonconvex perturbations of 
evolution equations with m-dissipative operators in Banach spaces. 92h:35093 

Babin, A. V. (with Vishik, M. I.) Semigroups dependent on a parameter, their attractors 
and asymptotic behaviour [in Global analysis and nonlinear equations (Russian), 3-21, 
Voronezh. Gos. Univ., Voronezh, 1988; MR 90k:58116]. (see 92b:58001) 

— (with Vishik, M. I.) Uniform finite-parameter asymptotics of solutions of nonlinear 
evolution equations. 92j:35016 

Belavkin, V. P. Multiquantum systems and point processes. I. Generating functionals and 
nonlinear semigroups. 92d:82005 

Bensoussan, Alain (with Nisio, M.) Nonlinear semigroup arising in the control of diffusions 
with partial observation. 92a:93126 

Bochenek, Jan An abstract nonlinear second order differential equation. 92g:34083 

Borodich, S. M. The behavior, as t + +00, of solutions of some nonautonomous equations. 
(Russian) 92£:58160 

Brunovsky, Pavol (with TereSéak, Ignic) Regularity of invariant manifolds. 92j:58095 

Chen, Zhi Min A remark on flow invariance for semilinear parabolic equations. 92j:34121 

Cotsiolis, Athanase see Karazeeva, N. A.; et al., 92k:58251 

Das, Purna C. see Kumar, Rajiv, 92a:47042 and 92j:47100 

Debussche, Arnaud (with Temam, Roger) Inertial manifolds and slow manifolds. 
92f:58161 

Dettori, L. Spectral approximations of attractors of a class of semilinear parabolic 
equations. 92k:58250 

Dhakne, M. B. (with Pachpatte, B. G.) On some abstract functional integrodifferential 
equations. 92¢:47127 

Diamond, Phil Impulsive evolution equations and population models. (see 92f:92004) 

Dorfmeister, Josef (with Neher, Erhard; Szmigielski, J.) Automorphisms of the KdV- 
subvariety. 92e:58089 

Eden, A. (with Foias, Ciprian; Temam, Roger) Local and global Lyapunov exponents. 
924:58118 

Fabes, Eugene B. (with Luskin, Mitchell; Sell, George R.) Construction of inertial 
manifolds by elliptic regularization. 92b:34072 

Fitzgibbon, William E. (with Parrott, Mary E.) Linearized stability of semilinear delay 
equations in fractional power spaces. 92¢:34091 

Flahaut, Isabelle Approximate inertial manifolds for the sine-Gordon equation. 92g:35192 

Foias, Ciprian The approximation by algebraic sets of the attractors of dissipative ordinary 
or partial differential equations. 92m:35035 

— see also Eden, A.; et al., 92d:58118 

Garay, Barnabas M. Parallelizability in Banach spaces: parallelizable dynamical systems 
with bounded trajectories. 92e:58181 

Ghidaglia, Jean-Michel (with Marzocchi, A.) Longtime behaviour of strongly damped 
wave equations, global attractors and their dimension. 92¢:35033 

Goldstein, Jerome A. (with Lin, Chin Yuan) An L? semigroup approach to degenerate 
parabolic boundary value problems. 92k:47137 

Gzyl, Henryk * Hamiltonian flows and evolution semigroups. 92a:58054 

Haraux, Alain * Systtmes dynamiques dissipatifs et applications. (French) [Dissipative 
dynamical systems and applications] 92b:35002 

He, Meng Xing Abstract functional-differential equation. VII. Bounded, periodic, almost 
periodic solutions; stable and unstable manifolds. (Chinese) 92b:34099 

Hess, Peter * Periodic-parabolic boundary value problems and positivity. 92h:35001 

Holmes, John P. Idempotents in differentiable semigroups. 92m:22001 

Hau, Shou Chuan (with Lakshmikantham, V.; Papageorgiou, Nikolaos S.) On the solution 
set of nonlinear evolution inclusions. 92m:34042 

Ilyashenko, Yu. S. The concept of minimal attractor and maximal attractors of partial 
differential equations of the Kuramoto-Sivashinsky type. 92k:58165 

Izé, A. F. An infinite-dimensional extension of theorems of Hartman and Wintner on 
monotone positive solutions of ordinary differential equations. 92m:34140 

Jiménez, Raul F. Nonlinear evolution probl on ifolds without boundary. (Por- 
tuguese summary) 92k:35309 

Karazeeva, N. A. (with Cotsiolis, Athanase; Oskolkov, A. P.) Dynamical systems generated 
by initial-boundary value problems for equations of motion of linear viscoelastic fluids. 
(Russian) 92k:58251 

Kato, Tosio Weak solutions of infinite-dimensional Hamiltonian systems. 92d:35064 

Kimmel, Marek see Arino, Ovide, 924:92025 

Kostin, I. N. A regular app h toap on the attractors of singularly perturbed 
equations. (Russian. English summary) 92i:34083 








47H Nonlinear operators 


47H30 


Kumar, Rajiv (with Das, PurnaC.) Perturbation of linear m-accretive operators in Hilbert 
spaces. 92a:47042 

— (with Das, PurnaC.) Perturbation of m-accretive operators in Banach spaces. 92j:47100 

Ladyzhenskaya, O. A. * Attractors for semigroups and evolution equations. 92k:58040 

Lakshmikantham, V. see Hu, Shou Chuan; et al., 92m:34042 

Liang, Jin (with Xiao, Ti Jun) Functional-differential equations with infinite delay in 
Banach spaces. 92e:34108 

Lin, Chin Yuan see Goldstein, Jerome A., 92k:47137 

Laskin, Mitchell see Fabes, Eugene B.; et al., 92b:34072 

Marzocchi, A. see Ghidaglia, Jean-Michel, 92e:35033 

Miklavéié, Milan A sharp condition for existence of an inertial manifold. 92h:34123 

Moroganu, G. (with Petrovanu, Dan) Time periodic solutions for a class of hyperbolic 
partial differential systems. 92c:35012 

Mrozek, Marian (with Rybakowski, Krzysztof P.) Nontrivial full bounded solutions of 
time-periodic semilinear parabolic PDEs. 92i:34084 

Neher, Erhard see Dorfmeister, Josef; et al., 92e:58089 

Nisio, M. see Bensoussan, Alain, 92a:93126 

Okochi, Hiroko An invitation to the anti-periodic problem. 92e:34080 

Oskolkov, A. P. see Karazeeva, N. A.; et al., 92k:58251 

Pachpatte, B. G. see Dhakne, M. B., 92e:47127 

(Pakes, Anthony G.) see Diamond, Phil, (92f:92004) 

Papageorgiou, Nikolaos S. Existence of optimal controls for a class of nonlinear distributed 
parameter systems. 92a:49004 

— Volterra integrodifferential inclusions in reflexive Banach spaces. 92i:34112 

— see also Avgerinos, Evgenios P., 92h:35093 and Hu, Shou Chuan; et al., 92m:34042 

Parrott, Mary E. see Fitzgibbon, William E., 92c:34091 

Petrovanu, Dan see Morosanu, G., 92¢:35012 

Rocha, Carlos Properties of the attractor of a scalar parabolic PDE. 92m:35122 

Rodriguez Bernal, Anibal Inertial manifolds for dissipative semiflows in Banach spaces. 
92h:58170 

Romanov, A. V. Conditions for asymptotic k-dimensionality of semilinear parabolic 
equations. (Russian) 92¢:35090 

Ruess, W. M. (with Summers, W. H.) Ergodic th for 
92¢:47016 

Rybakowski, Krzysztof P. see Mrozek, Marian, 92i:34084 

Sell, George R. see Fabes, Eugene B.; et al., 92b:34072 

Serégin, G. A. On a dynamical system generated by two-dimensional equations of motion of 
Bingham fluid. (Russian. English summary) 92g:35186 

Sevéovié, Daniel Limiting behavior of global attractors for singularly perturbed beam 
equations with strong damping. 92f:35021 

Shelukhin, V. V. A problem with time-average data for nonlinear parabolic equations. 
(Russian) 92g:35093 

Smith, Hal L. (with Thieme, Horst R.) Convergence for strongly order-preserving 
semiflows. 92m:34145 

So, Joseph Wai-Hung (with Wu, Jian Hong) Topological dimensions of global attractors for 
semilinear PDEs with delays. 92g:58116 

Sritharan, S.S. * Invariant manifold theory for hydrodynamic transition. 92g:35181 

Summers, W. H. see Ruess, W. M., 92¢:47016 

Szmigielski, J. see Dorfmeister, Josef; et al., 92e:58089 

Taboada, Mario Approximate inertial manifolds for parabolic evolutionary equations via 
Yosida approximations. 92m:34146 

Takat, Peter Large-time behavior of a time-periodic cooperative system of reaction- 
diffusion equations depending on parameters. 92j:35091 

Temam, Roger see Eden, A.; et al., 92d:58118 and Debussche, Arnaud, 92f:58161 

Terestak, Ignac see Brunovsky, Pavol, 92j:58095 

Thieme, Horst R. see Smith, Hal L., 92m:34145 

Tolstonogov, A. A. Extremal selectors of multivalued mappings and the “bang-bang” 
principle for evolution inclusions. (Russian) 92f:49011 

Vespri, Vincenzo Abstract quasilinear parabolic equations with variable domains. 
92h:34124 

Vishik, M. 1. see Babin, A. V., 92j:35016 and (92b:58001) 

Winiarska, Teresa Nonlinear evolution equation with a parameter. (Russian summary) 
92j:47142 

Wa, Jian Hong see So, Joseph Wai-Hung, 92g:58116 

Xiang, Xiao Ling (with Yang, Zheng Pin) Semilinear parabolic problem with deviation 
argument in the time variable. (Chinese summary) 924:35291 

Xiao, Ti Jun see Liang, Jin, 92¢:34108 

Xu, Hong Kun A fixed point theorem for semigroups of proximately uniformly Lipschitzian 
mappings. 92j:47116 

Xu, Xiang Sheng Application of nonlinear semigroup theory to a system of PDEs governing 
diffusion processes in a heterogeneous medium. 92j:47143 

Yagi, Atsushi Abstract quasilinear evolution equations of parabolic type in Banach spaces. 
(Italian summary) 92h:47100 

Yang, Zheng Pin see Xiang, Xiao Ling; et al., 92d:35291 

Zhang, Zhuang Zhi The existence and asymptotic behavior of solutions for evolution 
equations and applications to P.D.E. 92j:35101 





igroups of operators. 


47H30 Particular nonlinear operators (superposition, 
Hammerstein, Nemytskii, Uryson, hysteresis operators, 
etc.) [see also 45P05] 


Akbarov, D. E. (with Ivanenko, V. I.) Extremal problems for equations of Hammerstein 
type. (Russian) 92m:47141 

Appell, Jiirgen (with Zabreiko, P. P.) Boundedness properties of the superposition 
operator. (Russian summary) 92d:47089 

— (with De Pascale, E.) Lipschitz and Darbo conditions for the superposition operator in 
some nonideal spaces of smooth functions. 92j:47134 

— (with Nazarov, V. I.; Zabreiko, P. P.) Composing infinitely differentiable functions. 
92c:47083 





47H30 


De Pascale, E. see Appell, Jiirgen, 92j:47134 

Duan, Yan Zheng (with Wu, Cong Xin) Continuity and complete continuity of a kind of 
nonlinear operators in Fenchel-Orlicz spaces. 92b:47112 

Goebel, Manfred On Fréchet-differentiability of Nemytskij operators acting in Hélder 
spaces. 92b:47113 

Ivanenko, V. I. see Akbarov, D. E., 92m:47141 

Januszewski, Janusz On the Hammerstein integral equations in Banach spaces. 92a:47074 

Knop, Jadwiga On globally Lipschitzian Nemytskii operator in a special Banach space of 
functions. 92i:47089 

Krejéi, Pavel Vector hysteresis models. 92¢e:47122 

Lichawski, Kazimierz (with Matkowski, Janusz; Mis, Jerzy) Locally defined operators in the 
space of differentiable functions. (Russian summary) 92e:47123 

Liu, Qing Reng (with Sun, Wan Gui) Multiplicity of solutions to Hammerstein’s equations 
and their applications. (Chinese. English summary) 92m:47142 

Matkowski, Janusz see Lichawski, Kazimierz; et al., 92e:47123 

Mis, Jerzy see Lichawski, Kazimierz; et al., 92e:47123 

Misyurkeev, I. V. (with Nepomnyashchikh, Yu. V.) A criterion for the complete continuity 
of the Uryson operator. (Russian) 92j:47135 

Mydlarczyk, W. The existence of nontrivial solutions of Volterra equations. 92i:47090 

Nazarov, V.1. see Appell, Jiirgen; et al., 92c:47083 

Nepomnyashchikh, Yu. V. see Misyurkeev, I. V., 92j:47135 

Nguyén Hong Thai see Zabreiko, P. P., 92h:47096 

Segura de Leén, Sergio Bukhvalov type characterizations of Urysohn operators. 92h:47095 

Sobolev, A. V. (with Sobolev, V. 1.) Differentiability of a Hammerstein operator and 
solvability of a nonlinear Hammerstein equation. (Russian) 924:47090 

Sobolev, V. I. see Sobolev, A. V., 92d:47090 

Sun, Wan Gui see Liu, Qing Rong; et al., 92m:47142 

Trofimchuk, E. P. Integral operators of the method of successive periodic approximations. 
(Russian) 92¢:47124 

Viadimirov, A. A. Averaging properties of multidimensional hysteresis operators. (Russian) 
92¢:47084 

Wang, Liang Tao Differentiability of a class of nonlinear mappings. (Chinese. English 
summary) 92k:47135 

Wa, Cong Xin see Duan, Yan Zheng, 92b:47112 

Zabreiko, P. P. (with Nguyén Hong Thai) New th 
operator and integral equations. (Russian) 92h:47096 

— see also Appell, Jiirgen; et al., 92c:47083 and 92d:47089 

Zaghrout, Afaf A.S. On Volterra-Fredholm integral equations. 92m:47143 

Zawadzka, Gragyna On Lipschitzian operators of substitution in the space of set-valued 
functions of bounded variation. (Serbo-Croatian summary) 92d:47091 

Zuluaga Uribe, Mario The generalized Hammerstein integral operators on Hilbert spaces. 
92i:47091 


on the 





Ivability of Hammerstein 


Items with secondary classifications in 47H30 

Appell, Jiirgen Interpolation of noncompact nonlinear operators in integrable function 
spaces. (Italian. English summary) 92a:46092 

— (with Hardy, Grahame) On products of Sobolev-Orlicz spaces. 92¢:46036 

Banas, Jézef (with El-Sayed, Wagdy Gomaa) Monotonic solutions of a nonlinear Volterra 
integral equation. 92h:45004 

Bottaro Aruffo, Ada Functional estimations. (Italian. English summary) 92¢:49011 

Brokate, Martin Optimal control of the semilinear wave equation with hysteresis. 
92d:49003 

Bugajewski, Dariusz On the structure of the L”'-”?-solution sets of Volterra integral 
equations in Banach spaces. 92k:45004 

— (with Szufla, Stanislaw) On the existence of L?'?-solutions of the Hammerstein integral 
equation in Banach spaces. 92g:47092 

Corduneanu, C. Abstract Volterra equations and weak topologies. 92k:47121 

Dolezal, Vaclav A remark on invertibility of Hammerstein-type operators. 92m:47124 

El-Sayed, Wagdy Gomaa see Banas, Jozef, 92h:45004 

Fedelich, B. (with Zanzotto,G.) One-dimensional quasistatic nonisothermal evolution of 
shape-memory material inside the hysteresis loop. 92j:73006 

Hardy, Grahame see Appell, Jiirgen, 92c:46036 

Januszewski, Janusz On the existence of continuous solutions of nonlinear integral 
equations in Banach spaces. 92h:45007 

Karapetyants, N. K. (with Yakubov, A. Ya.) A convolution equation with a power 
nonlinearity of negative order. (Russian) 92m:47125 

Karelina, I. G. see Pokornyi, Yu. V., 92e:34043 

Kovatik, Ondrej (with Rakosnik, Jiti) On spaces L?“) and Wk), 92m:46047 

Krejci, Pavel Hysteresis memory preserving operators. (Czech summary) 92k:58039 

Krengel, Ulrich (with Lin, Michael; Wittmann, Rainer) A limit theorem for order 
preserving nonexpansive operators in L;. 92d:47071 

Lai, Han Ch’ing Differentiability and duality for integral functions. 92f:46057 

Lanza de Cristoforis, Massimo A note on composition operators in Sobolev spaces and an 
extension of the chain rule. (Italian summary) 92j:47053 

Lin, Michael see Krengel, Ulrich; et al., 92d:47071 

Liu, Bo Iterative solutions to simple bifurcation. (Chinese. English summary) 92m:47135 

Mayergoyz, I. D. * Mathematical models of hysteresis. 92b:78001 

Mazon, José M. (with Segura de Leon, Sergio) Continuity and compactness conditions for 
Uryson operators. 92¢:47067 

Nocilla, Silvio On exact calculation of forced vibrations of a system with hysteresis. 
925:34076 


Pluciennik, Ryszard Condition of A; type in Kéthe spaces of vector-valued functions. 
92k:46058 


Pokornyi, Yu. V. (with Karelina, I. G.) Nonlinear comparison theorems on graphs. 
(Russian. Ukrainian summary) 92e:34043 

Poreda, Tadeusz On generalized differential equations in Banach spaces. 92i:34079 

Rakosnik, Jiti see Kovatik, Ondrej, 92m:46047 

Segura de Leén, Sergio see Mazén, José M., 92c:47067 

Singh, Shyam Lal Application of fixed point theorems to nonlinear integrodifferential 
equations. 92g:47096 


OPERATOR THEORY 


1992 812 


Soltysiak, Andrzej (with Szufla, Stanislaw) Existence theorems for Ly-solutions of the 
Hammerstein integral equation in Banach spaces. 92d:47084 

Song, Fu Min Generalized relative degrees of W-A-proper mappings and their applications. 
(Chinese) 92f:47065 

Szufla, Stanislaw see Soltysiak, Andrzej, 92d:47084 and Bugajewski, Dariusz, 92g:47092 

Wittmann, Rainer see Krengel, Ulrich; et al., 92d:47071 

Yakubov, A. Ya. see Karapetyants, N. K., 92m:47125 

Zabreiko, P. P. Implicit function theorems in the theory of nonlinear integral equations. 
(Russian. English summary) 92m:47132 

Zanzotto, G. see Fedelich, B., 92j:73006 


47H40 Random operators [see also 60H25] 


Karamolegos, Antonios (with Kravvaritis, Dimitrios) Nonlinear random operator equations 
and inequalities in Banach spaces. 92m:47144 
Kravvaritis, Dimitrios see Karamolegos, Antonios, 92m:47144 


Items with secondary classifications in 47H40 

Hou, You Liang A general random fixed point theorem for multivalued random operators. 
(Chinese. English summary) 92i:47067 

Johnson, Dudley Paul A central limit theorem for products of dependent random linear and 
nonlinear operators. 92¢:60012 

Krawvaritis, Dimitrios Random semilinear evolution equations in Banach spaces. 92b:47110 


47H99 None of the above, but in this section 


Besler, I. (with Daugavet, I. K.) Approximation of nonlinear operators by Volterra 
polynomials. (Russian) 92h:47097 

Craig, Jessica M. (with Kartsatos, Athanassios G.) Functional evolution equations 
involving T-accretive and T-Lipschitz operators in Banach lattices. 92d:47092 

Daugavet, I. K. see Besler, I., 92h:47097 

Guillerme, Jean Les inégalités “Inf-Sup < Sup-Inf”. (English summary) [The inequalities 
“Inf-Sup < Sup-Inf”] 92j:47136 

Heble, Madhar P. (with Sundaresan, Kondagunta) Ergodic properties of a class of 
nonlinear operators. (Russian summary) 924:47093 

Kartsatos, Athanassios G. see Craig, Jessica M., 92d:47092 

Kovalevskii, A. A. G-convergence of abstract operators defined on weakly connected spaces. 
(Russian. English summary) 92m:47145 

Lavrent'ev, I. M. (with Scepanovié, Radoje) On the minimum of weakly regular function- 
als. (Russian. English and Serbo-Croatian summaries) 92m:47146 

Lu, Guang Cun The resonance theorem for a class of families of nonlinear operators. 
(Chinese) 92m:47147 

Luca, Rodica Observations on a Hamilton-Jacobi equation. (Romanian summary) 
92b:47114 

Maligranda, Lech A remark on Dugundji theorem. (Spanish summary) 92¢:47125 

Rassias, Themistocles M. (with Semrl, Peter) On the behavior of mappings which do not 
satisfy Hyers-Ulam stability. 92g:47101 

Razzhevaikin, V. N. * SpomiouHOHHaA ONTHMAJIbHOCTh MW YCTOMYHBOCTS B paciipeesIeHHbIX 
cuctemax. (Russian) [Evolutionary optimality and stability in distributed systems] 
92h:47098 

Séepanovié, Radoje see Lavrent'ev, I. M., 92m:47146 

Semrl, Peter see Rassias, Themistocles M., 92g:47101 

Shutyaev, V. P. On the calculation of a functional in a nonlinear problem using a conjugate 
equation. (Russian) 92m:47148 

Sundaresan, Kondagunta see Heble, Madhar P., 92d:47093 

Tsar'kov, I. G. Properties of sets that have a continuous selection from the operator P®. 
(Russian) 92¢:47085 

Viadimirov, A. A. Nonstationary dissipative evolution equations in a Hilbert space. 
92h:47099 

Xu, Hong Kun Inequalities in Banach spaces with applications. 92¢:47126 

Zhong, Xin Min Proximity mappings of convex sets in complex Hilbert spaces. (Chinese. 
English summary) 92j:47137 


Items with secondary classifications in 47H99 

Abushaev, E. N. see Povolotskii, A. I., (92g:47002) 

Anderson, Mitch One-parameter submonoids in locally complete differentiable monoids. 
92d:46108 

Atteia, Mare (with Raissouli, Mustapha) Dual d’un opérateur. Opérateur auto-dual. 
(English summary) [Dual of an operator. Self-dual operators] 92m:47149 

Aubin, Jean-Pierre * Viability theory. 92k:49003 

Azizov, T. Ya. (with Khatskevich, V. A.; Shoikhet, D. M.) On the number of fixed points of 
a holomorphism. (Russian) 92h:58023 

Bahya, A. O. (with Oudadess, M.) Ensembles coniquement bornés et cones de Schur. 
(Italian summary) [Conically bounded sets and Schur cones] 92m:46007 

Barbakadze, T. N. Some properties of E-regular functionals that are defined on a Banach 
space with a basis. (Russian. English and Georgian summaries) 92b:46017 

Beer, Gerald A. (with Pai, Devidas) The Prox map. 924:46035 

Berkovits, Juha Topological degree and multiplication theorem for a class of nonlinear 
mappings. 92k:47118 

Bhakta, P.C. Optimization of functionals and application to differential equations. (see 
92£:00027) 

Bobylév, N. A. (with Burman, Yu. M.) Morse lemmas for functionals of the calculus of 
variations. (Russian) 92m:58022 

Bohm, Michael Remarks on complex interpolation of some nonlinear operators. I. 
92k:46122 

Bonanno, Gabriele (with Marano, Salvatore A.) Random differential inclusions depending 
on a parameter. 92h:34035 

Bondar, A. V. (with Romanenko, V. Yu.) On derivative operators and holomorphy 
conditions for mappings of Hilbert spaces. (Russian. Ukrainian summary) 924:46120 





813 1992 


— (with Romanenko, V. Yu.) Operator conditions for C-differentiability. (Russian. 
Ukrainian summary) 92g:46046 

— (with Romanenko, V. Yu.) Conditions for the holomorphy of Lipschitz mappings of 
Hilbert spaces. (Russian. Ukrainian summary) 92g:46047 

— (with Romanenko, V. Yu.) Some conditions for holomorphy in Hilbert spaces. (Russian. 
Ukrainian summary) 924:46121 

Bottaro Aruffo, Ada Generalizations of Nagumo conditions. (Italian. English summary) 
92c:49006 

Bourdaud, Gérard Le calcul fonctionnel dans les espaces de Sobolev. [Functional calculus in 
Sobolev spaces] 92f:46035 

Burman, Yu. M. see Bobylév, N. A., 92m:58022 

Cacuci, Dan G. (with Protopopescu, V.) Canonical propagators for nonlinear systems: 
theory and sample applications. 92b:35041 

Cadek, Martin (with Siméa, Jaromir) Decomposition of smooth functions of two 
multidimensional variables. 92k:58029 

Contesse B., Luis (with Penot, Jean-Paul) Continuity of the Fenchel correspondence and 
continuity of polarities. 92i:49025 

Dancer, E. N. (with Hess, Peter) Stability of fixed points for order-preserving discrete-time 
dynamical systems. 92i:47088 

Dé Van Lu’ Sufficient optimality conditions for discrete minimax problems in the presence 
of constraints in Banach spaces. 92c:49020 

Eremin, M.S. Transformation operators in the disk of solutions of some nonlinear integro- 
differential equations. (Russian) 92c:47036 

Flytzanis, Elias (with Papageorgiou, Nikolaos S.) On the existence of optimal controls for a 
class of nonlinear infinite-dimensional systems. 92c:49004 

Forti, Gian Luigi Stability of homomorphisms and their applications to functional 
equations. (Italian. English summary) 92d:39024 

Goebel, Kazimierz (with Wosko, Jacek) Making a hole in the space. 92¢:46034 

Granas, Andrzej Sur quelques méthodes topologiques en analyse convexe. [On some 
topological methods in convex analysis] 92¢:90076 

Hadjisawas, N. (with Kravvaritis, Dimitrios; Pantelidis, G.) Structural properties of 
nonlinear monotone operators with values in L(X, Y). 92j:47102 

Hamilton, E. P. see Nashed, M. Zuhair, 92i:49031 

Hess, Peter see Dancer, E. N., 92i:47088 

Huang, Nan Jing see Zhang, Shi Sheng, 924:90104 

Ingram, John M. (with Marsh, M. M.) Projections onto convex cones in Hilbert space. 
92a:46025 

Isac, G. (with Németh, A. B.) Isotone projection cones in Hilbert spaces and the comple- 
mentarity problem. (Italian summary) 92¢:90115 

Khatskevich, V. A. see Azizov, T. Ya.; et al., 92h:58023 

Kloeden, Peter Remarks on Peano-like theorems for fuzzy differential equations. 92h:34010 

Krawvaritis, Dimitrios see Hadjisavvas, N.; et al., 92j:47102 

Kriete, Hartje Internal completeness of cones. 92i:52004 

Lim, Teck Cheong Pseudo-convergence in normed linear spaces. 92m:46027 

Lojasiewicz, Stanistaw, Jr. Parametrizations of convex sets. 92j:49003 

Mabizela, Sizwe The relationship between Lipschitz extensions, best approximations, and 
continuous selections. 92i:41035 

Marano, Salvatore A. see Bonanno, Gabriele, 92h:34035 

Mardanov, I. Dzh. Reduction of a system of nonlinear difference equations in a Banach 
space. (Russian) 92j:39009 

Marsh, M. M. see Ingram, John M., 92a:46025 

Mrozek, Marian Some remarks on Garay’s conjecture. 92i:54020 

Nashed, M. Zuhair (with Hamilton, E. P.) Local and global bivariational gradients and 
singular variational derivatives of functionals on C"[a, b]. 92i:49031 

Németh, A. B. see Isac, G., 92c:90115 

Neumann, Michael M. On the Mazur-Orlicz theorem. 92d:46122 

Oudadess, M. see Bahya, A. O., 92m:46007 

Pai, Devidas see Beer, Gerald A., 92d:46035 

Pantelidis,G. see Hadjisavvas, N.; et al., 92j:47102 

Papageorgiou, Nikolaos S. On the trajectories of controlled evolution inclusions. 924:49007 

— A minimax optimal control problem for evolution inclusions. 92k:49013 

— see also Flytzanis, Elias, 92c:49004 

Penot, Jean-Paul see Contesse B., Luis, 92i:49025 

Popa, Catalin Trotter product formulae for Hamilton-Jacobi equations in infinite 
dimensions. 92k:47136 

Povolotskii, A. I. (with Abushaev, E. N.) Almost periodic multivalued functions. (Russian) 
(see 92g:47002) 

Protopopescu, V. see Cacuci, Dan G., 92b:35041 

Raissouli, Mustapha see Atteia, Marc, 92m:47149 

Rassias, Themistocles M. On the stability of mappings. (Italian summary) 92f:51014 

Romanenko, V. Yu. see Bondar, A. V., 92d:46120; 92d:46121; 92g:46046 and 92g:46047 

Saccon, Claudio On an evolution problem with free boundary. 92f:49001 

Sacks, Paul E. Behavior near ¢ = 0 for solutions of the Dirichlet problem for u, = Ag(u) — 
J(u) in bounded domains. 924:35158 

Schechter, Martin A bounded mountain pass lemma without the (PS) condition and 
applications. 92h:58040 

Serovaiskii, S. Ya. Linearizability of infinite-dimensional control systems. (Russian) 
92d:93042 

Shafrir, Itai A deformation lemma. (French summary) 92i:58035 

Sharma, Som Datt A motion in H?(z+). 92f:54039 

Shoikhet, D. M. Some properties of Fredholm mappings of Banach analytic manifolds. 
(Russian) 92m:58007 

— see also Azizov, T. Ya.; et al., 92h:58023 

Simia, Jaromir see Cadek, Martin, 92k:58029 

Skof, Fulvia On 6-isometries in normed spaces. (Italian. English summary) 92j:46020 

Spring, David On the regularity of solutions in convex integration theory. 92e:35044 

Sritharan, S.S. An optimal control problem in exterior hydrodynamics. 92e:76018 

Szabé, Gy. A characterization of generalized inner product spaces (g-orthogonally additive 
mappings). III. 92j:46041 

Szab6, I. Clarke’s derivative. (Hungarian. English summary) 


47™N Miscellaneous applications of operator theory 


47N20 


Szaz, Arpad Pointwise limits of nets of multilinear maps. 92m:47045 

Szilagyi, Tivadar Existence and Lipschitzian dependence theorems in complete spaces. 
92m:49008 

Tataru, Daniel Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear 
terms. 92m:47155 

Visintin, Augusto Pattern evolution. 92m:49077a 

— Errata-corrige: “Pattern evolution”. 92m:49077b 

Whodarczyk, Kazimierz Intermediate value theorems for holomorphic maps in complex 
Banach spaces. 92b:46068 

Wosko, Jacek see Goebel, Kazimierz, 92e:46034 

Zajitek, Ludék Smallness of sets of nondifferentiability of convex functions in nonseparable 
Banach spaces. 92d:46112 

Zhang, Shi Sheng (with Huang, Nan Jing) Generalized strongly nonlinear quasi- 
complementarity problems in Hilbert spaces. 924:90104 


47Nxx Miscellaneous applications of operator theory 
[see also 46Nxx] 


47N10 Applications in optimization, convex analysis, 
mathematical programming, economics 


Atteia, Mare (with Raissouli, Mustapha) Dual d’un opérateur. Opérateur auto-dual. 
(English summary) (Dual of an operator. Self-dual operators] 92m:47149 

Popa, Catalin Trotter product formulae for Hamilton-Jacobi equations in infinite 
dimensions. 92k:47136 

Raissouli, Mustapha see Atteia, Marc, 92m:47149 


Items with secondary classifications in 47N10 

Bae, Jong Sook see Park, Sehie, 92k:47114 

Ben-El-Mechaiekh, Hichem General fixed point and coincidence theorems for set-valued 
maps. 92m:47110 

Contesse B., Luis (with Penot, Jean-Paul) Continuity of the Fenchel correspondence and 
continuity of polarities. 92i:49025 

Correa, R. (with Jofré, A.; Thibault, Lionel) Characterization of lower semicontinuous 
convex functions. 92k:49027 

Dettori, L. Spectral approximations of attractors of a class of semilinear parabolic 
equations. 92k:58250 

Ding, Xie Ping Quasi-variational inequalities and social equilibrium. (Chinese. English 
summary) 92i:49018 

Dinh Thé Luc (with Vargas-Jarillo, Cristébal) A saddlepoint theorem for set-valued maps. 
92m:47105 

Goncharov, V. V. (with Tolstonogov, A. A.) Common continuous selections of multivalued 
mappings with nonconvex values, and their applications. (Russian) 92k:47099 

Hiriart-Urruty, Jean-Baptiste How to regularize a difference of convex functions. 92j:49011 

Im, Sung Mo (with Kim, Won Kyu) An application of Himmelberg’s fixed point theorem to 
noncompact optimization problems. 92m:47115 

Isac, G. (with Németh, A. B.) Isotone projection cones in Hilbert spaces and the comple- 
mentarity problem. (Italian summary) 92c:90115 

— (with Németh, A. B.) Projection methods, isotone projection cones, and the complemen- 
tarity problem. 92f:90070 

— (with Kostreva, M.) Kneser’s theorem and the multivalued generalized order complemen- 
tarity problem. 92k:90102 

Jofré, A. see Correa, R.; et al., 92k:49027 

Kim, Won Kyu see Im, Sung Mo, 92m:47115 

Kostreva, M. see Isac, G., 92k:90102 

Mehta, Ghanshyam (with Tarafdar, E.) A generalization of Toussaint’s theorems on the 
existence of Walrasian equilibrium in L..(M,m,u) space. 92k:90020 

Németh, A. B. see Isac, G., 92c:90115 and 92:90070 

Papageorgiou, Nikolaos S. A minimax optimal control problem for evolution inclusions. 
92k:49013 

Park, Sehie (with Bae, Jong Sook) Existence of maximizable quasiconcave functions on 
convex spaces. 92k:47114 

Penot, Jean-Paul (with Volle, Michel) Topological stability results about approximate 
solutions of parametrized minimization problems. 92j:49005 

— see also Contesse B., Luis, 92i:49025 

Phan Quéc Khanh On Caristi-Kirk’s theorem and Ekeland’s variational principle for Pareto 
extrema. (Russian summary) 92j:47113 

Sukhinin, M. F. Lower semi-Taylor mappings and sufficient conditions for an extremum. 
(Russian) 92h:49023 

Szilagyi, Tivadar Existence and Lipschitzian dependence theorems in complete spaces. 
92m:49008 

Tarafdar, E. An extension of Fan’s fixed point theorem and equilibrium point of an abstract 
economy. 92b:47097 

— see also Mehta, Ghanshyam, 92k:90020 

Thibault, Lionel see Correa, R.; et al., 92k:49027 

Tolstonogov, A. A. see Goncharov, V. V., 92k:47099 

Valadier, Michel Lipschitz approximation of the sweeping (or Moreau) process. 92i:49039 

Vargas-Jarillo, Cristébal see-Dinh Thé Luc, 92m:47105 

Volle, Michel see Penot, Jean-Paul, 92j:49005 

Wang, Yu Wen The generalized inverse operators in Banach spaces. (Russian summary) 
92j:47014 


47N20 Applications to differential and integral equations 


Arendt, Wolfgang (with Priiss, Jan) Vector-valued Tauberian theorems and asymptotic 
behavior of linear Volterra equations. 92m:47150 

Belleni-Morante, Aldo The free streaming operator in asymmetric Sobolev spaces. 
92):47138 





47N20 


Dhakne, M. B. (with Pachpatte, B.G.) On some abstract functional integrodifferential 
equations. 92e:47127 

Diekmann, Odo (with van Gils, Stephan A.) The center manifold for delay equations in the 
light of suns and stars. 92m:47151 

Dore, Giovanni (with Venni, Alberto) Maximal regularity for parabolic initial-boundary 
value problems in Sobolev spaces. 92i:47092 

Engler, Hans Regularity properties of solutions of linear integrodifferential equations with 
singular kernels. 92d:47094 

van Gils, Stephan A. see Dieckmann, Odo, 92m:47151 

Goldstein, Jerome A. (with Lin, Chin Yuan) An L? semigroup approach to degenerate 
parabolic boundary value problems. 92k:47137 

Hirata, Hitoshi The Cauchy problem for Hartree type Schrédinger equation in weighted 
Sobolev space. 92m:47152 

Knyazikhin, Yu. V. Solvability of plane-parallel problems in radiative transfer theory. 
(Russian) 92a:47075 

Lasiecka, Irena Exponential stabilization of hyperbolic systems with nonlinear, unbounded 
perturbations—Riccati operator approach. 92m:47153 

Lin, Chin Yuan see Goldstein, Jerome A., 92k:47137 

Lomovtsev, F. E. Necessary and sufficient conditions for the solvability of the Cauchy 
problem for an evolution operator-differential equation. (Russian. English summary) 
92m:47154 

Mokhtar-Kharroubi, Mustapha W'” regularity in transport theory. 92k:47138 

Oleinik, O. A. Spectral properties of operators singularly depending on parameters and 
applications to mathematical physics. 92e:47128 

Pachpatte, B.G. see Dhakne, M. B., 92e:47127 

Poreda, Tadeusz Generalized differential equations for maps of Banach spaces. 92j:47139 

Priiss, Jan Maximal regularity of linear vector-valued parabolic Volterra equations. 
92b:47115 

— see also Arendt, Wolfgang, 92m:47150 

Riprich, Wolfgang Operator-theoretic functional-analytic methods in the theory of partial 
differential equations in R". 92k:47139 

Shkalikov, A. A. (with Shkred, A. V.) A problem on steady oscillations of a transversally 
isotropic half-cylinder. (Russian) 92j:47140 

Shkred, A. V. see Shkalikov, A. A., 92j:47140 

Tataru, Daniel Time dependent m-accretive operators generating differential evolutions. 
92:47070 

— Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms. 
92m:47155 

Tsuruta, Kunio Wellposedness and resolvent operators of linear Volterra integro-differential 
equations in a Banach space. 92g:47102 

Venni, Alberto see Dore, Giovanni, 92i:47092 

Vlasov, V. V. On the solvability of a class of functional-differential equations on the semi- 
axis and some spectral problems. (Russian) 92m:47156 

Winiarska, Teresa Eigenvalues and eigenspaces with a parameter. (Russian summary) 
92j:47141 

— Nonlinear evolution equation with a parameter. (Russian summary) 92j:47142 

Xu, Xiang Sheng Application of nonlinear semigroup theory to a system of PDEs governing 
diffusion processes in a heterogeneous medium. 92j:47143 

Yagi, Atsushi Abstract quasilinear evolution equations of parabolic type in Banach spaces. 
(Italian summary) 92h:47100 

Yudovich, V. I. Cosymmetry, degeneration of solutions of operator equations, and the onset 
of filtration convection. (Russian) 92m:47157 








Items with secondary classifications in 47N20 


Abdelouhab, Laziz Nonlocal dispersive equations in weighted Sobolev spaces. 92k:35226 

Ahmed, N. U. Stability of limit measures induced by stochastic differential equations on 
Hilbert space. 92h:34109 

Aizicovici, Sergiu (with Pavel, Nicolae H.) Anti-periodic solutions to a class of nonlinear 
differential equations in Hilbert space. 92k:34078 

Aksen’, E.M. The quasi-inversion method for some hyperbolic equations. (Russian) 
92j:35113 

Aktosun, Tuncay (with van der Mee, C. V.M.) Wiener-Hopf factorization in the inverse 
scattering theory for the n-D Schrédinger equation. 92f:35050 

Alber, H.-D. Uniform L2-asymptotics of the scattering amplitude in the high frequency 
limit. (Russian summary) 92m:35195 

Aliev, I. V. see Maksudov, F. G., 92m:34135 

Aliev, R.G. Normal solvability of a functional-differential equation with operator 
coefficients in a Hilbert space. (Russian) 92m:34181 

Ali Mehmeti, Felix (with Nicaise, Serge) Some realizations of interaction problems. (see 
92m:47001) 

Allegretto, W. see Xie, Hong, 92m:35099 

Amann, Herbert Highly degenerate quasilinear parabolic systems. 92m:35145 

Andres, Jaén On some modification of the Levinson operator and its application to a three- 
point boundary value problem. (Russian and Czech summaries) 92m:34052 

Antman, Stuart S. see Lanza de Cristoforis, Massimo, 92h:76014 

Antoniou, Ioannis E. (with Misra, Baidyanath) Nonunitary transformation of conservative 
to dissipative evolutions. 92d:35018 

Appell, Jiirgen (with Krasnosel'skii, A. M.) New theorems on asymptotic bifurcation 
points. 92m:47122 

Arlotti, Luisa A perturbation theorem for positive contraction semigroups on L!-spaces 
with applications to transport equations and Kolmogorov’s differential equations. 
924:47055 

Ashyralyev, A. (with Fattorini, H.O.) On uniform difference schemes for second-order 
singular perturbation problems in Banach spaces. 92k:65143 

Askhabov, S. N. (with Betilgiriev, M.A.) A priori estimates for the solutions of a class of 
nonlinear convolution equations. 92m:45004 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Nonconvex perturbations of 
evolution equations with m-dissipative operators in Banach spaces. 92h:35093 

Azbelev, N. V. (with Berezanskii, L. M.; Simonov, P. M.; Chistyakov, Aleksandr 
Vladimirovich) The stability of linear systems with aftereffect. II. (Russian) 92h:34145 


OPERATOR THEORY 1992 814 


Balachandran, Krishnan An existence theorem for nonlinear integro-differential equation 
with infinite delay. 92m:45006 

Bana§, Jézef (with Szynal, Dominik; Wedrychowicz, Stanislaw) On existence, asymptotic 
behaviour and stability of solutions of stochastic integral equations. 92k:60143 

Belonosov, V.S. The second Lyapunov’s method for abstract parabolic equations and its 
applications to equations with partial derivatives. 92j:34119 

Berezanskii, L.M. see Azbelev, N. V.; et al., 92h:34145 

Betilgiriev, M. A. see Askhabov, S. N., 92m:45004 

Bochenek, Jan An abstract nonlinear second order differential equation. 92g:34083 

Botsenyuk, A. N. (with Pankov, A. A.) The method of fractional steps generated by the 
splitting of the phase space. (Russian) 92¢e:34079 

Bradley, M. E. (with Lasiecka, Irena) Existence of the solutions to the Euler-Bernoulli plate 
model with semilinear boundary conditions. 92d:35196 

Bragg, L. R. The iterated abstract Euler-Poisson-Darboux problem for negative values of the 
parameter. 92m:35198 

Brykalov, S. A. Solvability of a nonlinear boundary value probl 
functions. (Russian) 92m:34150 

Cao, Dao Min Bifurcation for quasilinear elliptic systems on R” with natural growth 
conditions. 92m:35027 

Cardoso, Fernando (with Petkov, Vesselin M.; Stoyanov, Luchezar N.) Singularities of the 
scattering kernel for generic obstacles. 92i:35073 

Cazenave, Thierry (with Haraux, Alain; Weissler, Fred B.) Une équation des ondes 
complétement intégrable avec non-linéarité homogéne de degré trois. (English summary) 
[A completely integrable wave equation with a cubic nonlocal nonlinearity] 92g:35137 

Chen, Zhi Min A remark on flow invariance for semilinear parabolic equations. 92j:34121 

Chistyakov, Aleksandr Vladimirovich see Azbelev, N. V.; et al., 92h:34145 

Chobanov, Georgi Iv. (with Marino, Antonio; Scolozzi, D.) Evolution equation for 
the eigenvalue problem for the Laplace operator with respect to an obstacle. (Italian 
summary) 92m:35049 

— Nonzero solutions for a homogeneous semilinear elliptic equation. 92j:35049 

Choulli, M. Abstract inverse problem and application. 92k:34015 

Clément, Philippe P. * On (L?-L‘) coerciveness for a class of integrodifferential equation 
on the line. 924:45009 

— see also Semigroup theory and evolution equations, 92m:47001 

Colli, Pierluigi (with Visintin, Augusto) On a class of doubly nonlinear evolution equations. 
92e:47120 

Comte, Myriam (with Knaap, Mariette) Existence of solutions of elliptic equations 
involving critical Sobolev exponents with Neumann boundary condition in general 
domains. 92j:35063 

Corduneanu, C. Abstract Volterra equations and weak topologies. 92k:47121 

Craig, Jessica M. (with Kartsatos, Athanassios G.) Functional evolution equations 
involving T-accretive and T-Lipschitz operators in Banach lattices. 92d:47092 

Crandall, Michael G. (with Lions, Pierre-Louis) Viscosity solutions of Hamilton-Jacobi 
equations in infinite dimensions. V. Unbounded linear terms and B-continuous solutions. 
92:35043 

Czarnowski, Krzysztof (with Pruszko, Tadeusz) On the structure of fixed point sets of 
compact maps in Bo spaces with applications to integral and differential equations in 
unbounded domain. 92b:47090 

Dancer, E. N. Upper and lower stability and index theory for positive mappings and 
applications. 92k:47122 

Dedushev, A. V. A method for solving differential equations with operator coefficients. 
(Russian) 924:34121 

Del Pino, Manuel A. (with Mandasevich, Raul F.) Global bifurcation from the eigenvalues 
of the p-Laplacian. 92g:35028 

— (with Manasevich, Rail F.; Murda, Alejandro E.) Existence and multiplicity of solutions 
with prescribed period for a second order quasilinear ODE. 92m:34055 

Demengel, Francoise (with Ghidaglia, Jean-Michel) Inertial manifolds for partial 
differential evolution equations under time-discretization: existence, convergence, and 
applications. (French summary) 92e:35079 

Didenko, V. D. Para-algebras and approximate solution of singular integro-differential 
equations. (Russian) 92h:47075 

Drabek, Pavel (with Nicolosi, Francesco) Semilinear boundary value probl 
with general nonlinearities. 92k:35099 

Dzhenaliev, M. T. Solvability of boundary value probl 
nonregular coefficients. (Russian) 92h:35226 

El Houakmi, Z. (with Helffer, B.) Comportement semi-classique en présence de symétries: 
action d’un groupe de Lie compact. (English summary) [Semiclassical behavior in the 
presence of symmetries: action of a compact Lie group] 92m:47103 

Elliott, David see Okada, Susumu, 92k:47064 

Escher, Joachim Some global existence and blow-up results for semilinear parabolic systems 
with nonlinear boundary conditions. (see 92m:47001) 

Escobedo, Miguel (with Zuazua, Enrike) Self-similar solutions for a convection-diffusion 
equation with absorption in R”. 92k:35090 

Faierman, Mel (with Mennicken, Reinhard) An elliptic boundary value problem depending 
nonlinearly upon the eigenvalue parameter. 92k:35212 

Fattorini, H.O. see Ashyralyev, A., 92k:65143 

Favini, Angelo (with Obrecht, Enrico) Conditions for parabolicity of second order abstract 
differential equations. 92m:47078 

Feireisl, Eduard (with Norbury, John) Some existence, uniqueness and nonuniqueness 
theorems for solutions of parabolic equations with discontinuous nonlinearities. 
92g:35139 

Figol’, V. V. A boundary value problem for equations with pseudodifferential operators. 
(Russian) 924:35322 

de Figueiredo, Djairo G. (with Miyagaki, Olimpio H.) Semilinear elliptic equations with the 
primitive of the nonlinearity away from the spectrum. 92k:35100 

Flahaut, Isabelle Approximate inertial manifolds for the sine-Gordon equation. 92g:35192 

Fomin, V.I. see Krein, S. G., 92e:34076 

Frazho, Arthur E. A commutant lifting approach to tangential interpolation. 92m:47028 

Frigon, Marlene (with Saccon, Claudio) Heat equations with discontinuous nonlinearities 
on convex and nonconvex constraints. 92k:35167 





in a fixed set of 





at resonance 





for linear loaded equations with 





815 1992 


Garcia-Huidobro, Marta Jumping nonlinearities for a nonlinear equation with an nth order 
disconjugate operator. 92m:34056 

Gatica, Gabriel N. (with Hsiao, George C.) On a class of variational formulations for some 
nonlinear interface problems. (Italian summary) 92m:35089 

Geisler, Michael (with Runst, Thomas) On a superlinear Ambrosetti-Prodi problem in 
Besov and Triebel-Lizorkin spaces. 92k:46048 

Georgiev, Vladimir S. Uniform boundedness of the energy for time-periodic potentials. 
92£:47008 

Gershtein, L.M. A coupled system of abstract differential equations of thermoelasticity 
type. (Russian. English and Azerbaijani summaries) 92h:34112 

Geymonat, Giuseppe (with Grisvard, Pierre) Expansions on generalized eigenvectors of 
operators arising in the theory of elasticity. 92j:34115 

Ghidaglia, Jean-Michel (with Marzocchi, A.) Longtime behaviour of strongly damped 
wave equations, global attractors and their dimension. 92e:35033 

— see also Demengel, Francoise, 92e:35079 

Giga, Mariko (with Giga, Yoshikazu; Sohr, Hermann) L? estimate for abstract linear 
parabolic equations. 92¢:35042 

Giga, Yoshikazu see Giga, Mariko; et al., 92e:35042 

Gil’, M. I. *% Mertog onepatopxix byHKuHE B TeopuH AMddepenMaNbHBIX ypaBHeHHE (c 
IIPHOKCHHAMH K 3afa4aM 3KoONOTUH). (Russian) [The method of operator functions in the 
theory of differential equations (with applications to problems of ecology)] 92b:34002 

Gomilko, A. M. (with Radzievskii, G. V.) Basis properties of eigenfunctions of a regular 
boundary value problem for a vector functional-differential equation. (Russian) 
92£:34058 

— (with Radzievskii, G. V.) Equiconvergence of series in eigenfunctions of ordinary 
functional-differential operators. (Russian) 92f:47054 

Gongalves, J. V. A. (with Miyagaki, Olimpio H.) Remarks on semilinear elliptic problems 
at resonance. 92k:35091 

Goncharov, V. V. (with Tolstonogov, A. A.) Continuous selectors and properties of 
solutions of differential inclusions with m-accretive operators. (Russian) 92h:34122 

Gorbachuk, M. L. see Gorbachuk, V. I., 92m:34133 

Gorbachuk, V. I. (with Gorbachuk, M. L.) * Boundary value probl 
differential equations. 92m:34133 

Gorodetskii, V. V. Polynomial approximation of solutions of evolution equations of 
parabolic type in a Hilbert space. (Russian) 92¢:34073 

Greiner, Giinther (with Schwarz, Manfred) Weak spectral mapping theorems for 
functional-differential equations. 92k:47079 

Grisvard, Pierre see Geymonat, Giuseppe, 92j:34115 

Hanebaly, E. Un théoréme du point fixe et solutions périodiques d’équations différentielles 
V -dissipatives. (English summary) [A fixed-point theorem and periodic solutions of V- 
dissipative differential equations] 92j:47119 

Hannsgen, Kenneth B. (with Wheeler, Robert L.) Moment conditions for a Volterra integral 
equation in a Banach space. 92h:45005 

Haraux, Alain see Cazenave, Thierry; et al., 92g:35137 

Heikkila, Seppo (with Kumpulainen, M.; Lakshmikantham, V.) On solvability of mixed 
monotone operator equations with applications to mixed quasimonotone differential 
systems involving discontinuities. 92j:47120 

Heinz, Hans-Peter Lacunary bifurcation for operator equations and nonlinear boundary 
value problems on R". 92):47121 

Helffer, B. see El Houakmi, Z., 92m:47103 

Henriquez, Hernan R. Asymptotically almost-periodic solutions of abstract differential 
equations. 92h:34113 

Hess, Peter * Periodic-parabolic b y value probl and positivity. 92h:35001 

Hino, Yoshiyuki (with Murakami, Satoru; Naito, Toshiki) * Functional-differential 
equations with infinite delay. 92g:34088 

Hislop, Peter D. (with Martinez, André) Scattering resonances of a Helmholtz resonator. 
92k:35170 

Hsiao, George C. see Gatica, Gabriel N., 92m:35089 

Hu, Shou Chuan (with Lakshmikantham, V.; Papageorgiou, Nikolaos S.) On the solution 
set of nonlinear evolution inclusions. 92m:34042 

Huang, Ai Xiang see Li, Kai Tai; et al., 92k:35223 

Huang, Fa Lun Some problems for linear elastic systems with damping. 92h:34114 

— A note on linear parabolic equations in Hilbert spaces. 92m:35117 

— (with Liang, Jin; Xiao, Ti Jun) Fixed points of set-valued mappings and existence of 
solutions and periodic solutions to differential inclusions. (Chinese. English summary) 
92m:47113 

llolov, M. see Samoilenko, A. M., 92m:34034 

Ilyashenko, Yu. S. The concept of minimal attractor and maximal attractors of partial 
differential equations of the Kuramoto-Sivashinsky type. 92k:58165 

Ivanov, S. A. (with Korneev, V.G.) The problem of heat radiation of a shell taking into 
account interior reflection. (Russian) 92g:80004 

Izé, A. F. An infinite-dimensional extension of theorems of Hartman and Wintner on 
monotone positive solutions of ordinary differential equations. 92m:34140 

Januszewski, Janusz On the existence of continuous solutions of nonlinear integral 
equations in Banach spaces. 92h:45007 

Jeong, Jin-Mun Stabilizability of retarded functional-differential equation in Hilbert space. 
92k:34107 

Jiménez, Rail F. Nonlinear evolution problems on manifolds without boundary. (Por- 
tuguese summary) 92k:35309 

Jochmann, F. Asymptotic completeness in optical scattering. 92j:47025 

Jédar, Lucas (with Navarro, Enrique) Explicit solutions for boundary value problems 
related to the operator equations X2) — AX = 0. (Czech summary) 92k:34017 

Karapetyants, N. K. (with Samko, S.G.) * YpaBHeHHa C HHBOJIOTHBHBIMH OnlepaTopaMH H 
4X IpaoxeHus. (Russian) [Equations with involutive operators and their applications} 
92m:47020 

— (with Yakubov, A. Ya.) A convolution equation with a power nonlinearity of negative 
order. (Russian) 92m:47125 

Kartsatos, Athanassios G. The existence of bounded solutions on the real line of perturbed 
nonlinear evolution equations in general Banach spaces. 92i:34108 

— see also Craig, Jessica M., 92d:47092 





for operator 





47N Miscellaneous applications of operator theory 


47N20 


Karwowski, W. Z. (with Przeworska-Rolewicz, Danuta) Green operators for linear 
boundary value problems with a right invertible operator D". 92j:47009 

Kenmochi, Nobuyuki (with Koyama, Tetsuya) Nonlinear functional variational inequalities 
governed by time-dependent subdifferentials. 92j:47122 

Kesel’‘man, G. M. Regularized traces of a second-order functional-differential operator. 
(Russian) 92b:47078 

Khatskevich, V. L. Solvability of a periodic problem for a nonlinear Hamiltonian system. 
(Russian) 92m:47127 

Knaap, Mariette see Comte, Myriam, 92j:35063 

Kopaneva, V.I. An overdetermined problem for a differential equation in a Hilbert space. 
(Russian) 92¢e:34075 

Korneev, V.G. see Ivanov, S. A., 92g:80004 

Koyama, Tetsuya see Kenmochi, Nobuyuki, 92j:47122 

Kozlov, Vladimir Arkad’evich (with Rossmann, Jiirgen) On the behaviour of the spectrum 
of parameter-dependent operators under small variation of the domain and an application 
to operator pencils generated by elliptic boundary value probl inacone. 92m:47095 

Krasnosel'skii, A. M. see Appell, Jiirgen, 92m:47122 

Krasnosel'skii, M. A. (with Mawhin, Jean L.; Pokrovskii, A. V.) New theorems on forced 
periodic oscillations and bounded solutions. (Russian) 92m:34091 

Kravwvaritis, Dimitrios (with Papageorgiou, Nikolaos S.) A boundary value problem for a 
class of evolution inclusions. 92¢:47116 

Krein, S.G. (with Tovbis, A. I.) Linear singular differential equations in finite-dimensional 
and Banach spaces. (Russian) 92e:34003 

— (with Fomin, V.1.) Small perturbations of singular differential equations with unbounded 
operator coefficients. (Russian) 92¢:34076 

Kulagina, M. F. Almost periodic solutions of characteristic singular equations on the line. 
(Russian) (see 92e:00010) 

Kumpulainen, M. see Heikkila, Seppo; et al., 92j:47120 

Kuzin, I. A. Multivalued solvability of some elliptic problems in R”. (Russian) 92k:35092 

Ladyzhenskaya, O. A. * A s for igroups and evolution equations. 92k:58040 

Lakshmikantham, V. see Heikkila, Seppo; et al., 92j:47120 and Hu, Shou Chuan; et al., 
92m:34042 

Lanza de Cristoforis, Massimo (with Antman, Stuart S.) Cavitational flow past a nonlin- 
early elastic panel. 92h:76014 

Lapidus, Michel L. The Feynman-Kac formula with a Lebesgue-Stieltjes measure: an 
integral equation in the general case. 92¢:47064 

Lasiecka, Irena see Bradley, M. E., 92d:35196 

Lé Quang Trung On a noncoercive problem for singular integro-differential equations. 
(Russian) 92k:35086 

Li, Kai Tai (with Huang, Ai Xiang) Approximate inertial manifolds for Navier-Stokes 
equations. (Chinese. English summary) 92k:35223 

Liang, Jin (with Xiao, Ti Jun) Functional-differential equations with infinite delay in 
Banach spaces. 92¢:34108 

— see also Huang, Fa Lun; et al., 92m:47113 

Lions, Pierre-Louis see Crandall, Michael G., 92g:35043 

Loginov, B. V. (with Rakhmatova, Kh. R.; Yuldashev, N. N.) On a branching equation of 
periodic solutions with a crystallographic symmetry group. (Russian) 92j:47126 

Lomovtsev, F. E. The Cauchy problem for second-order hyperbolic differential equations 
with a variable domain of the operator coefficients. (Russian. English summary) 
92g:34081 

Lunardi, Alessandra Some regularity results for linear variational second-order parabolic 
equations. (see 92m:47001) 

Maksimovich, S. I. (with Yurchuk, N. 1.) The Cauchy problem for operator-differential 
equations of Fuchsian type. (Russian) 92h:34115 

Maksudov, F.G. (with Mardanov, I. Dzh.) Reduction of a system of linear difference 
equations in a Banach space. (Russian) 92j:39008 

— (with Aliev, I. V.) Second-order operator-differential equations with nonregular boundary 
conditions. (Russian) 92m:34135 

Markov, K. V. Nonselfadjoint L-A-representation for some nonlinear nonlocal problems. 
(Russian) 92e:35151 

Manasevich, Raul F. see Del Pino, Manuel A., 92g:35028 and 92m:34055 

Mardanov, I. Dzh. Reduction of a system of nonlinear difference equations in a Banach 
space. (Russian) 92j:39009 

— see also Maksudov, F. G., 92j:39008 

Marino, Antonio see Chobanov, Georgi Iv.; et al., 92m:35049 

Martinez, André see Hislop, Peter D., 92k:35170 

Marzocchi, A. see Ghidaglia, Jean-Michel, 92e:35033 

Maslov, V. P. * AcuMnToTH4ecKHe MeTOBI H Teopua BOsMyuseHHH. (Russian) [Asymptotic 
methods and perturbation theory] 92i:35013 

Maslowski, Bohdan (with Seidler, Jan; Vrkoé, Ivo) An averaging principle for stochastic 
evolution equations. II. (Czech summary) 92j:60076 

Matveev, V.G. (with Selezov, I. T.) Fundamental solution of a convolution operator of 
aero-elastic interactions. (Russian) 92k:45027 

Mawhin, Jean L. see Krasnosel’skii, M. A.; et al., 92m:34091 

van der Mee, C. V. M. see Aktosun, Tuncay, 92f:35050 

Mei, Zhen Bifurcations of a simplified buckling problem and the effect of discretizations. 
92i:47078 

Mennicken, Reinhard see Faierman, Mel, 92k:35212 

Messano, Basilio Questions concerning functional equations of the form A(x) — A(t(x)) = 
g(x) and the Goursat problem for u,, = 0. (Italian. English summary) 92g:47094 

Miloslavskii, A. I. On the instability spectrum of an operator pencil. (Russian) 924:47018 

Misra, Baidyanath see Antoniou, Ioannis E., 92d:35018 

(Mitidieri, Enzo) see Semigroup theory and evolution equations, 92m:47001 

Miyagaki, Olimpio H. see Goncalves, J. V. A., 92k:35091 and de Figueiredo, Djairo G.., 
92k:35100 

Mokhtar-Kharroubi, Mustapha Régularité de Sobolev en théorie du transport et applica- 
tions aux problémes d’approximation. (English summary) [Sobolev regularity in transport 
theory and applications to approximation problems] 92m:82127 

Mrozek, Marian (with Rybakowski, Krzysztof P.) Nontrivial full bounded solutions of 
time-periodic semilinear parabolic PDEs. 92i:34084 














47N20 


Murakami, Satoru see Hino, Yoshiyuki; et al., 92g:34088 

Mauria, Alejandro E. see Del Pino, Manuel A.; et al., 92m:34055 

Nagel, Rainer Order in pure and applied functional analysis. 92m:47071 

Naito, Toshiki see Hino, Yoshiyuki; et al., 92g:34088 

Nakamura, Masa-Aki On an equilibrium of the plasma in a tokamak with a limiter. 
92j:35180 

Naselli Ricceri, Ornella Classical solutions of the problem x’ € F(t, x, x’), x(to) = 
Xo, X'(to) = Yo in Banach spaces. 92d:34129 

Nashed, M. Zuhair (with Nguyén Xuan Tan) Nontrivial solutions of nonlinear equations 
from simple eigenvalues and their stability. 92m:34142 

Navarro, Enrique see Jédar, Lucas, 92k:34017 

(Nazaikinskii, V.E.) see Zhitomirskaya, S. Ya., 92j:81039 

Nazarov, V. I. Solvability of linear operator-differential equations in Roumieu scales 
constructed with respect to a given linear unbounded operator. (Russian) 92¢:35169 

Newton, Roger G. Factorizations of the S matrix. 92d:81145 

Nguyén Van Mau Characterization of polynomials in algebraic elements with commutative 
coefficients and its applications. (Polish summary) 92k:47004 

Nguyén Xuan Tan see Nashed, M. Zuhair, 92m:34142 

Nicaise, Serge see Ali Mehmeti, Felix, (92m:47001) 

Nicolosi, Francesco see Drabek, Pavel, 92k:35099 

Nieto, Juan J. Nonuniqueness for nonlinear problems. 92h:47092 

Norbury, John see Feireisl, Eduard, 92g:35139 

Obrecht, Enrico see Favini, Angelo, 92m:47078 

Okada, Susumu (with Elliott, David) The finite Hilbert transform in 22. 92k:47064 

Okochi, Hiroko An invitation to the anti-periodic problem. 92e:34080 

Orlovskii, D.G. An inverse problem for an equation of hyperbolic type in a Hilbert space. 
(Russian) 92m:35274 

(de Pagter, Ben) see Semigroup theory and evolution equations, 92m:47001 

Piivarinta, Lassi (with Runst, Thomas) Multiplicity results for semilinear elliptic boundary 
value problems in Besov and Triebel-Lizorkin spaces. 92j:35070 

Pan, Xing Bin Solutions of elliptic equations Au + K(x)e”“ = f(x). 92h:35073 

Panizzi, Stefano Abstract nonlinear Timoshenko beam equation. 92m:34143 

Pankov, A. A. see Botsenyuk, A. N., 92e:34079 

Papageorgiou, Nikolaos S. Volterra integrodifferential inclusions in reflexive Banach spaces. 
92i:34112 

— see also Krawvaritis, Dimitrios, 92e:47116; Avgerinos, Evgenios P., 92h:35093 and Hu, 
Shou Chuan; et al., 92m:34042 

Parada, Raul Felipe Study of a linear pencil of operators associated with a stability problem 
in fluid mechanics. (Spanish. English summary) 92i:76048 

Pavel, Nicolae H. see Aizicovici, Sergiu, 92k:34078 

Petkov, Vesselin M. Phase de diffusion pour des perturbations captives. [Scattering phase 
for captive perturbations] 92e:35121 

— see also Cardoso, Fernando; et al., 92i:35073 

Petzeltova, Hana The Hopf bifurcation theorem for parabolic equations with infinite delay. 
(Czech summary) 92m:34182 

Picard, Rainer H. Asymptotic partition of energy for abstract uniformly propagative 
systems. 92a:47049 

Pickett, Douglas Scattering theory for hyperbolic equations of order 2m. 92m:47016 

Pokhozhaev, S.I. The fibration method for solving nonlinear boundary value problems. 
(Russian) 92m:47129 

Pokrovskii, A. V. see Krasnosel’skii, M. A.; et al., 92m:34091 

Popescu, Emil Sur les sémi-groupes de Feller et les opérateurs pseudo-différentiels. [On 
Feller semigroups and pseudodifferential operators] 92m:47097 

Popov, I. Yu. Integral equations in a model of apertures of zero width. (Russian) 92h:47068 

Poreda, Tadeusz On generalized differential equations in Banach spaces. 92i:34079 

Porter, David (with Stirling, David S.G.) * Integral equations. 924:45001 

Precup, Radu Topological transversality and boundary problems for second-order 
functional-differential equations. (see 92m:49004) 

Prokhorenko, V. I. Theorems on the smoothness of periodic solutions of differential 
equations with singular points. (Russian) 

Pruszko, Tadeusz see Czarnowski, Krzysztof, 92b:47090 

Przeworska-Rolewicz, Danuta see Karwowski, W. Z., 92j:47009 

Rabinovich, V.S. Spectral properties of a class of difference operators. (Russian) 
92m:47065 

Radzievskii, G. V. Minimality of derivative chains that correspond to a boundary value 
problem on a finite segment. (Russian. Ukrainian summary) 924:47019 

— see also Gomilko, A. M., 92£:34058 and 92£:47054 

Rakhmatova, Kh. R. see Loginov, B. V.; et al., 92j:47126 

Razzhevaikin, V. N. * SpomomHOHHasd ONTHMAJIbHOCTb M YCTOMYHBOCTS B pacnpeseseHHBIX 
cuctemax. (Russian) [Evolutionary optimality and stability in distributed systems] 
92h:47098 

Rocha, Carlos Properties of the attractor of a scalar parabolic PDE. 92m:35122 

Romanov, A. V. Conditions for asymptotic k-dimensionality of semilinear parabolic 
equations. (Russian) 92e:35090 

Rossmann, Jirgen see Kozlov, Viadimir Arkad’evich, 92m:47095 

Runst, Thomas sce Piivarinta, Lassi, 92j:35070 and Geisler, Michael, 92k:46048 

Rybakowski, Krzysztof P. see Mrozek, Marian, 92i:34084 

Saccon, Claudio see Frigon, Marlene, 92k:35167 

Sacks, Paul E. Behavior near t = 0 for solutions of the Dirichlet problem for u, = Ag(u) — 
J(u) in bounded domains. 924:35158 

Samko, S.G. see Karapetyants, N. K., 92m:47020 

Samoilenko, A.M. (with Ilolov, M.) On the theory of time-inhomogeneous evolution 
equations with impulse actions. (Russian) 92m:34034 

Satyanarayan Rao, Aribindi On the Stepanov almost periodic solution of a second-order 
infinitesimal generator differential equation. 92k:34076 

Scarpellini, Bruno Stable manifold constructions for nonlinear wave equations. 92j:35129 

Schaaf, Renate (with Schmitt, Klaus) Asymptotics for solution branches of semilinear 
elliptic problems at resonance. 92k:35106 

Schechter, Martin (with Tintarev, Kyril) Points of spherical maxima and solvability of 
semilinear elliptic equations. 92i:47076 


OPERATOR THEORY 


1992 816 


— (with Tintarev, Kyril) Families of “first eigenfunctions” for semilinear elliptic eigenvalue 
problems. 92m:35197 

Schiavone, S. E. Fractional powers of the retarded potential. 92h:47019 

Schmitt, Klaus see Schaaf, Renate, 92k:35106 

Schroeder, Gary H. L?(R") bounds on the solution of u, — Ap(u) = f for 1 < p < co. 
92m:35123 

Schwarz, Manfred see Greiner, Giinther, 92k:47079 

Scolozzi, D. see Chobanov, Georgi Iv.; et al., 92m:35049 

Seidler, Jan see Maslowski, Bohdan; et al., 92j:60076 

Selezov, I. T. see Matveev, V. G., 92k:45027 

Serégin, G. A. On a dynamical system generated by two-dimensional equations of motion of 
Bingham fluid. (Russian. English summary) 92g:35186 

Sforza, Daniela Parabolic integrodifferential equations with singular kernels. 92k:45028 

Shapiro, Victor L. Quasilinear ellipticity and the Ist eigenvalue. 92j:35053 

Shelukhin, V. V. On the solution of linear evolution equations by the variational method. 
(Russian) 92i:34080 

Simonov, P.M. see Azbelev, N. V.; et al., 92h:34145 

Stawik, Lech On statistical solutions of nonlinear differential equations in Hilbert spaces. 
92m:34144 

Smith, Hal L. (with Thieme, Horst R.) Convergence for strongly order-preserving 
semiflows. 92m:34145 

Sohr, Hermann see Giga, Mariko; et al., 92e:35042 

Soldatov, A. P. * OgHomepubie CHHryIApHbIe OnepaTopbi H KpaeBbie 3aa4H TeopHH dbyHKuAH. 
(Russian) [One-dimensional singular operators and boundary value problems in function 
theory] 92i:47060 

Song, Min Existence of a global solution to a nonlinear system of Schrédinger equations. 
(Chinese. English summary) 92h:35218 

Spitkovskii, I. M. (with Tashbaev, A. M.) Factorization of certain piecewise constant 
matrix functions and its applications. 92i:47061 

Sritharan, S.S. * Invariant manifold theory for hydrodynamic transition. 92g:35181 

Stirling, David S.G. see Porter, David, 924:45001 

Stoyanov, Luchezar N. see Cardoso, Fernando; et al., 92i:35073 

Sun, Jing Xian Fixed-point theorems for increasing operators and applications to nonlinear 
equations with discontinuous terms in Banach spaces. (Chinese) 92m:47119 

Szynal, Dominik see Banas, Jézef; et al., 92k:60143 

Taboada, Mario Approximate inertial manifolds for parabolic evolutionary equations via 
Yosida approximations. 92m:34146 

Takaé, Peter Large-time behavior of a time-periodic cooperative system of reaction- 
diffusion equations depending on parameters. 92j:35091 

Tashbaev, A. M. see Spitkovskii, I. M., 92i:47061 

Thieme, Horst R. see Smith, Hal L., 92m:34145 

Tintarev, Kyril see Schechter, Martin, 92i:47076 and 92m:35197 

Tolstonogov, A. A. Properties of integral solutions of differential inclusions with m-accretive 
operators. (Russian) 92k:47127 

— see also Goncharov, V. V., 92h:34122 

Tovbis, A. I. see Krein, S. G., 92e:34003 

Tverskoi, M. B. Steady flow of a heavy fluid over an uneven periodically changing bottom. 
(Russian) 92m:76030 

— New classes of solutions of a nonlinear operator equation that describes the steady flow of 
a floating fluid over an uneven bottom. (Russian) 92m:76031 

Tyurin, K. I. Extremal properties of eigenvalues of the Laplace operator on a ball. (Russian) 
92j:35137 

Varlamov, V. V. On a hyperbolic equation of high order in a Banach space. 92j:34118 

Vavilov, S. A. On the solvability of a class of operator equations. (Russian) 92h:47093 

Vespri, Vincenzo Abstract quasilinear parabolic equations with variable domains. 
92h:34124 

Visintin, Augusto see Colli, Pierluigi, 92e:47120 

Viadimirov, A. A. Nonstationary dissipative evolution equations in a Hilbert space. 
92h:47099 

Vrkot, Ivo see Maslowski, Bohdan; et al., 92j:60076 

Wang, Ke! On the existence and uniqueness of periodic solutions of Volterra integral 
differential equations. 92¢e:34103 

Wang, Shou Hong On the 2D model of large-scale atmospheric motion: well-posedness and 
attractors. 92i:35101 

Wang, Yu Wen The generalized inverse operators in Banach spaces. (Russian summary) 
92j:47014 

Weder, Ricardo Global uniqueness at fixed energy in multidimensional inverse scattering 
theory. 92j:35143 

Wedrychowicz, Stanislaw see Banas, Jézef; et al., 92k:60143 

Weissler, Fred B. see Cazenave, Thierry; et al., 92g:35137 

Wheeler, Robert L. see Hannsgen, Kenneth B., 92h:45005 

Wu, Jian Hong Semigroup and integral form of a class of partial differential equations with 
infinite delay. 92k:35282 

Xiao, Ti Jun see Liang, Jin, 92e:34108 and Huang, Fa Lun; et al., 92m:47113 

Xie, Hong (with Allegretto, W.) C*(Q) solutions of a class of nonlinear degenerate elliptic 
systems arising in the thermistor problem. 92m:35099 

Yagi, Atsushi Generation theorem of semigroup for multivalued linear operators. 
925:47075 

Yakubov, A. Ya. see Karapetyants, N. K., 92m:47125 

Yamamoto, Kazuhiro Scattering theory and spectral representations for general wave 
equations with short range perturbations. 92j:35144 

Yuldashev, N. N. see Loginov, B. V.; et al., 92j:47126 

Yunusov, M. Yu. A two-sided power boundary layer in nonlocal problems. (Russian) 
92¢:34077 

Yurchuk, N. I. see Maksimovich, S. I., 92h:34115 

Zabreiko, P. P. Implicit function theorems in the theory of nonlinear integral equations. 
(Russian. English summary) 92m:47132 

Zhang, Zhuang Zhi The existence and asymptotic behavior of solutions for evolution 
equations and applications to P.D.E. 92j:35101 





817 1992 


Zheng, Quan? Global solutions to abstract differential equations and their applications. 
(Chinese) 92h:34111 

Zhitomirskaya, S. Ya. Singular spectral properties of a one-dimensional Schrédinger 
operator with almost periodic potential. 92j:81039 

Zuazua, Enrike see Escobedo, Miguel, 92k:35090 


Items listed otherwise than by author 
Conference: 
Semigroup Theory and Evolution Equations * Semigroup theory and evolution equations. 
92m:47001 
Delft * Semigroup theory and evolution equations. 92m:47001 


Semigroup theory and evolution equations * Semigroup theory and evolution equations. 
92m:47001 


47N30 Applications in probability theory and statistics 


Kaniovskaya, I. Yu. see Zaigraev, A. Yu., 92j:47144 
Zaigraev, A. Yu. (with Kaniovskaya, I. Yu.) On a linear estimation problem in infinite- 
dimensional spaces. (Russian) 92j:47144 


Items with secondary classifications in 47N30 

Ahmed, N. U. Stability of limit measures induced by stochastic differential equations on 
Hilbert space. 92h:34109 

Albeverio, Sergio (with Réckner, Michael) New developments in the theory and application 
of Dirichlet forms. 92h:47101 

Aleksandrov, E. L. On the completeness of a system of powers of a random variable in the 
Hilbert space L?7(Q,.4,P). (Russian) 92i:60003 

Badrikian, Albert * Calcul stochastique anticipatif par rapport 4 une mesure gaussi- 
enne. (French) [Anticipative stochastic calculus with respect to a Gaussian measure] 
92k:60110 

Da Prato, Giuseppe (with Zabczyk, Jerzy) Smoothing properties of transition semigroups in 
Hilbert spaces. 92k:60177 

Dossou-Ghete, Simplice (with Pousse, Alain) Asymptotic study of eigenelements of a 
sequence of random selfadjoint operators. 92h:62079 

Fan, Ru Zong Closability of a certain symmetric form on Banach spaces. (Chinese) 
92m:60067 

Herbst, Ira W. (with Pitt, L.D.) Diffusion equation techniques in stochastic monotonicity 
and positive correlations. 92f:60130 

Imkeller, Peter On the existence of occupation densities of stochastic integral processes via 
operator theory. 92k:60116 

Johnson, Dudley Paul A central limit theorem for products of dependent random linear and 
nonlinear operators. 92¢:60012 

Jurek, Zbigniew J. On Lévy (spectral) measures on integral form of Banach spaces. 
92d:60009 

Kolchinskii, V. 1. The entropy order of operators in Banach spaces and the central limit 
theorem. 92i:60011 

Kolesnik, A. D. (with Turbin, A. F.) An infinitesimal hyperbolic operator of Markov 
random evolutions in R”. (Russian. English summary) 924:60076 

Loubaton, Philippe Some properties of the regular minimal unitary dilation of a pair 
of commuting contractive operators. Application to the quarter plane Markovian 
representation problem of stationary processes on Z?. 92j:47021 

Lyatambur, K. N. An isomorphism of multiplicative and additive stochastic semigroups of 
almost linear operators without the continuity condition. (Russian. Ukrainian summary) 
92c:60090 

Maagli, H. Perturbation des résolvantes et des semi-groupes par une mesure signée. 
[Perturbation of resolvents and igroups by a sign ] 92k:47028 

Marek, Ivo Aggregation methods of computing stationary distributions of Markov 
processes. 92g:65148 

Pitt, L. D. see Herbst, Ira W., 92f:60130 

Podhorodytiski, Marian Two fixed point theorems for abstract Markov operators. 
92m:47015 

Pousse, Alain see Dossou-Ghete, Simplice, 92h:62079 

Power, S.C. Spectral characterization of the Wold-Zasuhin decomposition and prediction- 
error operator. 92j:47032 

Réckner, Michael see Albeverio, Sergio, 92h:47101 

Sedunova, N. E. Optimization of a regression experiment in the parametric estimation of a 
linear operator. (Russian. English summary) 92¢:62142 

Sunyach, Christian Sur le rayon spectral d’un noyau positif. (English summary) [On the 
spectral radius of a positive kernel] 92h:60012 

Swaminathan, S. Fixed-point-theoretic proofs of the central limit theorem. (French 
summary) 92g:60036 

Turbin, A. F. see Kolesnik, A. D., 924:60076 

Zabczyk, Jerzy see Da Prato, Giuseppe, 92k:60177 

Zangeneh, Bijan Z. Measurability of the solution of a semilinear evolution equation. 
92g:60087 





47N40 Applications in numerical analysis [see also 65Jxx] 


Items with secondary classifications in 47N40 

Argyros, Ioannis K. (with Szidarovszky, Ferenc) On the monotone convergence of 
algorithmic models. 92m:47134 

Bezhaev, A. Yu. (with Rozhenko, A. I.) Variational splines in tensor products of spaces. 
92h:41019 

Rozhenko, A. I. see Bezhaev, A. Yu., 92h:41019 

Szidarovszky, Ferenc see Argyros, Ioannis K., 92m:47134 


47N50 Applications in quantum physics 


Albeverio, Sergio (with Réckner, Michael) New developments in the theory and application 
of Dirichlet forms. 92h:47101 


47N Miscellaneous applications of operator theory 


47N50 


Bradshaw, W.S. On the nonuniqueness of the dilations of quantum dynamical semigroups 
obtained using quantum stochastic calculus. 92m:47158 

Hatano, Naomichi (with Suzuki, Masuo) Correction-term theorem concerning decomposi- 
tions of exponential operators. 92b:47116 

Herbst, Ira W. (with Skibsted, Erik) Time-depend 
92k:47140 

Koshmanenko, V. D. On the scattering problem for Markov fields. 92e:47129 

Kuperin, Yu. A. (with Yarevskii, E. A.) Currents and the extensions theory. 92g:47103 

LivSic, M.S. What is a particle from the standpoint of systems theory? 92k:47141 

Paneitz, S. M. (with Pedersen, J.; Segal, I. E.; Zhou, Zheng-Fang) Singular operators on 
boson fields as forms on spaces of entire functions on Hilbert space. 92k:47142 

Pedersen, J. see Paneitz, S. M.; et al., 92k:47142 

Rockner, Michael see Albeverio, Sergio, 92h:47101 

Segal, I. E. see Paneitz, S. M.; et al., 92k:47142 

Skibsted, Erik Propagation estimates for N-body Schroedinger operators. 92i:47093 

— see also Herbst, Ira W., 92k:47140 

Suzuki, Masuo see Hatano, Naomichi, 92b:47116 

Vugal’ter, S. A. Asymptotics of eigenvalues for many-particle Hamiltonians at symmetry 
subspaces. 92¢:47130 

Yarevskii, E. A. see Kuperin, Yu. A., 92g:47103 

Zhou, Zheng-Fang see Paneitz, S. M.; et al., 92k:47142 


Items with secondary classifications in 47N50 

Accardi, Luigi (with Frigerio, Alberto; Lu, Yun Gang) The weak coupling limit for 
fermions. 92m:81118 

Aktosun, Tuncay (with van der Mee, C. V. M.) Inverse scattering problem for the 3- 
D Schrédinger equation and Wiener-Hopf factorization of the scattering operator. 
92¢:35120 

— (with van der Mee, C. V. M.) Wiener-Hopf factorization in multidimensional inverse 
Schrédinger scattering. 92g:35163 

— (with van der Mee, C. V. M.) Wiener-Hopf factorization in the inverse scattering theory 
for the n-D Schrédinger equation. 92f:35050 

Albeverio, Sergio (with Ma, Zhi Ming) Perturbation of Dirichlet forms—lower semibound- 
edness, closability, and form cores. 92i:47039 

Arai, Asao Noninvertible Bogoliubov transformations and instability of embedded 
eigenvalues. 92f:81030 

Avron, J. E. (with van Mouche, P. H. M.; Simon, Barry) On the measure of the spectrum 
for the almost Mathieu operator. 92d:39014a 

— (with van Mouche, P. H. M.; Simon, Barry) Erratum: “On the measure of the spectrum 
for the almost Mathieu operator”. 92d:39014b 

Belavkin, V. P. Multiquantum systems and point processes. I. Generating functionals and 
nonlinear semigroups. 92d:82005 

— A quantum nonadapted Ité formula and stochastic analysis in Fock scale. 92m:81120 

Béllissard, Jean (with lochum, Bruno; Testard, D.) Continuity properties of the electronic 
spectrum of 1D quasicrystals. 92j:81037 

Ben-Artzi, M. (with Devinatz, Allen) Local smoothing and convergence properties of 
Schrédinger type equations. 92k:35064 

Birman, M. Sh. (with Solomyak, M. Z.) Interpolation estimates for the number of negative 
eigenvalues of a Schroedinger operator. 92e:35115 

— Discrete spectrum in the gaps of the continuous one in the large-coupling-constant limit. 
92j:47091 

— (with Solomyak, M. Z.) Estimates for the number of negative eigenvalues of the 
Schrédinger operator and its generalizations. (see 92g:35153) 

— (with Raikov, George D.) Discrete spectrum in the gaps for perturbations of the magnetic 
Schrédinger operator. (see 92g:35153) 

— (with Solomyak, M. Z.) The estimates for the number of negative bound states of the 
Schrédinger operator for large coupling constants. 92g:35159 

— see also Estimates and asymptotics for discrete spectra of integral and differential equations, 
92g:35153 

Bogolyubov, N. N. (with Logunov, A. A.; Oksak, A. L.; Todorov, Ivan T.) * General 
principles of quantum field theory. 92h:81001 

Botvich, D. D. (with Malyshev, V. A.) Asymptotic completeness and all that for an infinite 
number of fermions. 92j:82041 

Boutet de Monvel-Berthier, Anne-Marie An optimal Carleman-type inequality for the Dirac 
operator. 924:47064 

— (with Georgescu, Vladimir) Locally conjugate operators, boundary values of the resolvent 
and wave operators. (French summary) 92¢:47013 

— (with Georgescu, Vladimir) Graded C*-algebras in the N-body problem. 92m:46085 

Bowden, G. J. (with Martin, J. P. D.; Prandolini, M. J.) Nonsquare tensor algebra and 
applications in the NMR of multiply connected spin systems. I. 92m:81075a 

— (with Prandolini, M. J.) Nonsquare tensor algebra and applications in the NMR of 
multiply connected spin systems. II. 92m:81075b 

Brasche, J. F. Dirichlet forms and nonstandard Schrodinger operators. 92j:47092 

— (with Karwowski, Witold) On boundary theory for Schrédinger operators and stochastic 
processes. 92j:47093 

— Generalized Schrodinger operators, an inverse problem in spectral analysis and the 
Efimov effect. 92m:47091 

Buchholz, Detlev Harmonic analysis of local operators. 92b:81098 

Buslaev, V.S. (with Dmitrieva, L. A.) Bloch electrons in an external electric field. 
92g:81037 

Carlen, Eric A. Some integral identities and inequalities for entire functions and their 
application to the coherent state transform. 92i:46025 

Cassinelli, Gianni (with Truini, Piero; Varadarajan, V.S.) Hilbert space representations of 
the Poincaré group for the Landau gauge. 92e:81128 

Colin de Verdiere, Yves Sur les singularités de van Hove génériques. [On generic van Hove 
singularities] 92h:35160 

Derezitiski, Jan Exponential bounds in cones for eigenfunctions of N-body Schrédinger 
operators. II. 92g:35154 

Derfel’, G. A. Kato problem for functional-differential equations and difference Schrédinger 
operators. 92g:34093 





pp h to radiation conditions. 





47™N50 


Deutsch, Ivan H. A basis-independent approach to quantum optics. 92j:81373 

Devinatz, Allen (with Moeckel, Richard; Rejto, Peter) A limiting absorption principle for 
Schrédinger operators with von Neumann-Wigner type potentials. 92f:35051 

— see also Ben-Artzi, M., 92k:35064 

van Diejen, J. F. (with Tip, A.) Scattering from generalized point interactions using 
selfadjoint extensions in Pontryagin spaces. 92e:81028 

Dmitrieva, L. A. see Buslaev, V. S., 92g:81037 

Dubin, D. A. (with Hennings, M. A.) * Quantum mechanics, algebras and distributions. 
92k:46123 

Dutta, Shyamal Kumar see Sen, Rabindranath, 92m:81307 

Dvuretenskij, Anatolij see Pulmannova, Sylvia, 92i:81025 

van Eijndhoven, S. J.L. see de Graaf, Jan, 92a:46093 

Elizalde, E. On the possibility of a multiparticle extension of the Avron-Seiler-Simon 
mathematical scenario for the quantum Hall effect. 92a:81236 

Evans, William Desmond (with Lewis, Roger T.; Saits, Yoshimi) Some geometric spectral 
properties of N-body Schrédinger operators. 92h:35166 

— (with Lewis, Roger T.; Saitd, Yoshimi) Eigenvalue properties of nonisotropic Schrédinger 
operators with applications. (see 92m:00046) 

Evstratov, V. V. (with Pavlov, B.S.) Electron-phonon scattering, polaron and bipolaron: a 
solvable model. 92c:81233 

Exner, Pavel (with Seba, Petr) Electrons in semiconductor microstructures: a challenge to 
operator theorists. 92h:82118 

— Bound states and resonances in quantum wires. 92h:82143 

Fagnola, Franco Quantum stochastic differential equations and Feynman-Kac perturbation 
of quantum evolution. 92m:81121 

Frigerio, Alberto see Accardi, Luigi; et al., 92m:81118 

Frolov, S. V. see Pavlov, B. S., 92m:34189 

Georgescu, Vladimir see Boutet de Monvel-Berthier, Anne-Marie, 92c:47013 and 92m:46085 

Gérard, Christian Complétude asymptotique des systémes a N corps a courte portée 
(d’aprés I. M. Sigal et A. Soffer). [Asymptotic completeness of short-range N-body 
systems (after I. M. Sigal and A. Soffer)] 92c:81218 

— The Mourre estimate for regular dispersive systems. (French summary) 92e:81280 

Gompa, Raghu R. Time-dependent normal form theory and Schrédinger initial value 
problems. 92a:81032 

(Gould, G. G.) see Bogolyubov, N. N.; et al., 92h:81001 

de Graaf, Jan (with van Eijndhoven, S. J. L.) Dirac’s formalism and functional analysis. 
92a:46093 

Graf, Gian Michele The Mourre estimate in the semiclassical limit. 92d:81143 

Greenlee, W. M. Spectral concentration near embedded eigenvalues. 92a:47016 

Gunson, Jack Inequalities in mathematical physics. 92h:82002 

Hagedorn, George A. Proof of the Landau-Zener formula in an adiabatic limit with small 
eigenvalue gaps. 92j:81043 

Hansen, Frank The Moyal product and spectral theory for a class of infinite-dimensional 
matrices. 92j:81111 

Helffer, B. (with Sjéstrand, Johannes) Semiclassical analysis for Harper’s equation. III. 
Cantor structure of the spectrum. (French summary) 92m:35011 

Hempel, Rainer (with Herbst, Ira W.; Hinz, Andreas M.; Kalf, Hubert) Intervals of dense 
point spectrum for spherically symmetric Schrédinger operators of the type —A + cos |x]. 
92:35109 

Hennings, M. A. see Dubin, D. A., 92k:46123 

Herbst, Ira W. Spectral and scattering theory for Schrédinger operators with potentials 
independent of |x|. 92k:35069 

— see also Hempel, Rainer; et al., 92f:35109 

Hinz, Andreas M. see Hempel, Rainer; et al., 92f:35109 

Hirata, Hitoshi The Cauchy problem for Hartree type Schrodinger equation in weighted 
Sobolev space. 92m:47152 

Hirota, Osamu Some remarks on a conditional unitary operator. 92d:81015 

Honegger, Reinhard Unbounded perturbations of boson equilibrium states in Fock space. 
92h:82016 

Hughes, Rhonda J. (with Kon, Mark A.) Norm group convergence for singular Schrédinger 
operators. (French summary) 92m:35057 

Tochum, Bruno see Béllissard, Jean; et al., 92j:81037 

Ivrii, V. Ya. Precise spectral asymptotics for Schrédinger and Dirac operators with strong 
magnetic field. 92g:47073 

Jakel, Christian D. Asymptotic triviality of the Moller operators in Galilei invariant 
quantum field theories. 924:81083 

Jensen, Arne? (with Ozawa, Tohru) Classical and quantum scattering for Stark Hamiltoni- 
ans with slowly decaying potentials. (French summary) 92f:81223 

— (with Yajima, Kenji) On the long range scattering for Stark Hamiltonians. 92h:81185 

Johnson, Gerald W. * Existence theorems for the analytic operator-valued Feynman 
integral. 92g:46052 

— Existence theorems for the analytic operator valued Feynman integral. 92j:46083 

Jorgensen, Palle E.T. (with Powers, Robert T.) Positive elements in the algebra of the 
quantum moment problem. 92k:47090 

Joye, A. (with Pfister, Charles-Edouard) Exponentially small adiabatic invariant for the 
Schrodinger equation. 92m:35058 

Kalf, Hubert see Hempel, Rainer; et al., 92f:35109 

Karpeshina, Yu. E. Perturbation theory for Schroedinger operator with a periodic potential. 
92m:35191 

— Perturbation theory for the Schrédinger operator with periodic potential. (Russian) 
92:35052 

Karwowski, Witold see Brasche, J. F., 92j:47093 

Kato, Tosio (with Yajima, Kenji) Dirac equations with moving nuclei. (French summary) 
92i:81041 

— Positive commutators i[ f(P), g(Q)]. 92h:47042 

Kenzhebaeva, M.S. (with Turmukhambetov, D. N.) Estimates for the s-numbers of 
a nonselfadjoint Schrédinger operator. (Russian. English and Kazakh summaries) 
92k:47093 

Khrennikov, A. Yu. Representation of second quantization over non-Archimedean number 
fields. (Russian) 92f:81221 


OPERATOR THEORY 


1992 818 


Khryashchév, S. V. On the discrete spectrum of a perturbed periodic Schrédinger operator. 
(Russian. English summary) 92h:35168 

King, Christopher Exponential decay near resonance, without analyticity. 92i:81057 

Kiselev, A. A. (with Popov, I. Yu.) Higher moments in a zero-width aperture model. 
(Russian. English summary) 92m:35050 

Kitada, Hitoshi Asymptotic completeness of N-body wave operators. I. Short-range 
quantum systems. 92k:81227 

— Asymptotic completeness for N-body long-range quantum systems. 92k:47019 

Klimek, Slawomir (with Lesniewski, Andrzej) A Golden-Thompson inequality in supersym- 
metric quantum mechanics. 92i:81072 

Kochubei, A. N. Selfadjoint extensions of Schroedinger operators with singular potentials. 
92e:47081 

— An operator of Schrédinger type over the p-adic number field. (Russian. English 
summary) 92e:47082 

Kon, Mark A. see Hughes, Rhonda J., 92m:35057 

Konstantinov, A. Yu. A generalization of a theorem of Pearson. (Russian) 92a:47010 

Kravchuk, N. V. Some aspects of the concept of irreversibility in physics. (Russian. English 
summary) 92c:82067 

Kuperin, Yu. A. (with Melnikov, Yu. B.; Pavlov, B. S.) Quantum scattering problem in 
triangle representation and induced gauge fields. 92c:81219 

— (with Kurasov, P. B.; Mel‘nikov, Yu. B.; Merkur’ev, S. P.) Connections and effective S- 
matrix in triangle representation for quantum scattering. 92b:81219 

Kurasov, P. B. see Kuperin, Yu. A.; et al., 92b:81219 

Kurose, Hideki (with Ogi, Hidekazu) On a generalization of the Tomita-Takesaki theorem 
for a quasifree state on a self-dual CCR algebra. 92a:46064 

Lapidus, Michel L. The Feynman-Kac formula with a Lebesgue-Stieltjes measure: an 
integral equation in the general case. 92e:47064 

Lesniewski, Andrzej see Klimek, Stawomir, 92i:81072 

Lévy-Bruhl, Pierre Spectre d’opérateurs de Schrédinger avec potentiel et champ magnétique 
polynomiaux. [Spectrum of Schrédinger operators with polynomial potential and 
magnetic field] 92i:35038 

Lewis, Roger T. see Evans, William Desmond; et al., 92h:35166 and (92m:00046) 

Lindsay, J. M. Gaussian hypercontractivity revisited. 92c:47038 

Logunov, A. A. see Bogolyubov, N. N.; et al., 92h:81001 

La, Yun Gang see Accardi, Luigi; et al., 92m:81118 

Ma, Zhi Ming see Albeverio, Sergio, 92i:47039 

Mack, Gerhard (with Schomerus, Volker) Conformal field algebras with quantum 
symmetry from the theory of superselection sectors. 92i:81298 

Maioli, Marco (with Sacchetti, Andrea) One-dimensional many point interactions and 
stability of eigenvalues. (Italian summary) 92m:81040 

Makin, A. S. Riesz means of bi-orthogonal expansions in root functions of nonselfadjoint 
extensions of the Schrédinger operator. (Russian) 92m:47096 

Malyshev, V. A. see Botvich, D. D., 92j:82041 

Mandel'shtam, V. A. see Zhitomirskaya, S. Ya., 92d:81026 

Manita, A. D. Properties of translation-invariant quantum-dynamical semigroups. 
(Russian. English summary) 92j:46118 

Martin, J.P. D. see Bowden, G. J.; et al., 92m:81075a 

Matsumoto, Hiroyuki? Classical and nonclassical eigenvalue asymptotics for magnetic 
Schrédinger operators. 92b:35114 

Matveichuk, M.S. The Gleason and Jordan theorems on hyperbolic quantum logics. 
92i:81024 

van der Mee, C. V. M. see Aktosun, Tuncay, 92c:35120; 92f:35050 and 92g:35163 

Meftah, Mokhtar Conditions suffisantes pour la compacité de la résolvante d’un opérateur 
de Schrédinger avec un champ magnétique. [Sufficient conditions for the compactness of 
the resolvent of a Schrédinger operator with a magnetic field] 92h:35196 

Melin, Anders On functions of the Schrédinger operator and a trace formula. 92j:35132 

Melnikov, A. M. (with Minlos, R. A.) On the pointlike interaction of three different 
particles. 92m:81041 

— (with Mogil’ner, A. I.) A generalization of the Iorio-O’Carroll theorem to the case of 
lattice Hamiltonians. 92g:82014 

Melnikov, Yu. B. see Kuperin, Yu. A.; et al., 92b:81219 and 92c:81219 

Merkur'ev, S. P. see Kuperin, Yu. A.; et al., 92b:81219 

Minlos, R. A. see Melnikov, A. M., 92m:81041 

Mlak, Wiodzimierz Commutation relations involving spectrally scattered operators. 
92h:47029 

Moeckel, Richard see Devinatz, Allen; et al., 92f:35051 

Mogil’ner, A. I. see Mel/nikov, A. M., 92g:82014 

Mohamed, Abdérémane (with Nourrigat, J.) Encadrement du N(A) pour un opérateur de 
Schrédinger avec un champ magnétique et un potentiel électrique. [Two-sided estimation 
of N(A) for a Schrédinger operator with a magnetic field and an electric potential] 
92a:35122 

van Mouche, P. H. M. see Avron, J. E.; et al., 92d:39014a and 924:39014b 

Nagamachi, Shigeaki (with Nishimura, Takeshi) Nonstandard analysis of linear canonical 
transformations on a fermion Fock space with an indefinite metric. 92m:81294 

Nakamura, Shu! Semiclassical resolvent estimates for the barrier top energy. 92k:81037 

Neidhardt, Hagen Some remarks on the scattering theory for dissipative Schroedinger 
operators. 92f:47009 

Neretin, Yu. A. On a semigroup of operators in the boson Fock space. (Russian) 92e:47066 

Newton, Roger G. Wiener-Hopf factorization of the S matrix. 92g:47010 

Nielsen, Torben T. * Bose algebras: the complex and real wave representations. 92i:81003 

Nishimura, Takeshi see Nagamachi, Shigeaki, 92m:81294 

Nourrigat, J. see Mohamed, Abdérémane, 92a:35122 

Ogi, Hidekazu see Kurose, Hideki, 922:46064 

Oksak, A.I. see Bogolyubov, N. N.; et al., 92h:81001 

Ostrovskii, V.L. (with Samoilenko, Yu. S.) Structure theorems for a pair of unbounded 
selfadjoint operators satisfying quadratic relation. (Russian summary) 92m:47050 

Ozawa, Tohru Invariant subspaces for the Schrédinger evolution group. (French summary) 
92g:81206 

— Space-time behavior of propagators for Schrédinger evolution equations with Stark effect. 
92i:35039 





819 1992 


— Nonexistence of wave operators for Stark effect Hamiltonians. 92d:35215 

— see also Jensen, Arne”, 92f:81223 

Pavlov, B.S. (with Frolov, S. V.) Spectral identities for the zone spectrum in the one- 
dimensional case. (Russian. English summary) 92m:34189 

— see also Kuperin, Yu. A.; et al., 92c:81219 and Evstratov, V. V., 92c:81233 

Pfister, Charles-Edouard see Joye, A., 92m:35058 

Popov, I. Yu. Theory of extensions and the localization of resonances for domains of trap 
type. (Russian) 92k:47094 

— see also Kiselev, A. A., 92m:35050 

Popov, N. N. * Hexotopsie Bompocbl TeopHH aMnHTyZ BeposTHocTen. (Russian) [Some 
problems in the theory of probability amplitudes] 92¢:81010 

Potthoff, Jirgen (with Réckner, Michael) On the contraction property of energy forms on 
infinite-dimensional space. 92a:46051 

Powers, Robert T. see Jorgensen, Palle E. T., 92k:47090 

Prandolini, M. J. see Bowden, G. J.; et al., 92m:81075a and 92m:81075b 

Pulmannova, Sylvia (with Dvuretenskij, Anatolij) Sum logics and sums of unbounded 
observables. 92i:81025 

Raikov, George D. Semiclassical and weak-magnetic-field eigenvalue asymptotics for the 
Schrédinger operator with electromagnetic potential. 92i:35095 

— Strong electric field eigenvalue asymptotics for the Schrodinger operator with electromag- 
netic potential. 92k:81031a 

— Errata: “Strong electric field eige asymp 
electromagnetic potential”. 92k:81031b 

— see also Birman, M. Sh., (92g:35153) 

Rejto, Peter see Devinatz, Allen; et al., 92f:35051 

Reményi, M. (with von Waldenfels, W.) Fluctuations of the Dicke maser. 92¢:81240 

del Rio Castillo, Rafael R. Embedded eigenvalues of Sturm-Liouville operators. 92h:47067 

Robert, D. (with Wang, Xue Ping) Time-delay and spectral density for Stark Hamiltonians. 
II. Asymptotics of trace formulae. 92k:35210 

Réckner, Michael see Potthoff, Jiirgen, 922:46051 

Ruskai, Mary Beth Limit on the excess negative charge of a dynamic diatomic molecule. 
(French summary) 924:81156 

Sacchetti, Andrea see Maioli, Marco, 92m:81040 

Saitd, Yoshimi see Evans, William Desmond; et al., 92h:35166 and (92m:00046) 

Samoilenko, Yu. S. see Ostrovskii, V. L., 92m:47050 

Sauvageot, Jean-Luc Le probléme de Dirichlet dans les C*-algébres. (English summary) 
[The Dirichlet problem in C*-algebras] 92j:46113 

Schmeelk, John A guided tour of new tempered distributions. 92d:46101 

Schmiidgen, Konrad Noncommutative moment problems. 92f:22030 

Schomerus, Volker see Mack, Gerhard, 92i:81298 

Seba, Petr see Exner, Pavel, 92h:82118 

Sen, Rabindranath On some applications of fixed point theorems. 92k:47126 

— (with Dutta, Shyamal Kumar) On the existence of an eigenfunction of the Hartree 
operator of the helium atom by the fixed point principle. 92m:81307 

Shubov, Marianna A. Asymptotics of the discrete spectrum for a radial Schrodinger 
operator with nearly Coulomb potential. 92f:35111 

Simon, Barry Fifty years of eigenvalue perturbation theory. 92b:47018 

— Fifty years of eigenvalue perturbation theory. 92i:81059 

— see also Avron, J. E.; et al., 92d:39014a and 924:39014b 

Sjéstrand, Johannes see Helffer, B., 92m:35011 

Sobolev, Aleksandr Viadimirovich (with Yafaev, D. R.) On the effective bounds for the total 
scattering cross-section. 92h:81187 

— (with Yafaev, D. R.) Spectral properties of an abstract scattering matrix. (Russian) 
92k:47020 

Solomyak, M. Z. see Birman, M. Sh., 92e:35115; 92g:35159 and (92g:35153) 

Stovitek, Pavel Krein’s formula approach to the multisolenoid Aharonov-Bohm effect. 
92j:81135 

Strube, Dieter Collision theory for massless particles in the framework of a Wightman field 
theory. 92¢:81085 

Tamura, Hideo Propagation estimate for N-body quantum systems. 92c:81220 

— Asymptotic completeness for N-body Schrédinger operators with short-range interactions. 
92h:35169 

— The Efimov effect of three-body Schrédinger operators. 92c:81225 

Testard, D. see Béllissard, Jean; et al., 92j:81037 

Tip, A. see van Diejen, J. F., 92e:81028 

Todorov, Ivan T. see Bogolyubov, N. N.; et al., 92h:81001 

Truini, Piero see Cassinelli, Gianni; et al., 92e:81128 

Turmukhambetov, D. N. see Kenzhebaeva, M. S., 92k:47093 

Unterberger, André (with Unterberger, Julianne) Série principale et quantification. (English 
summary) [Principal series and quantization] 92c:22028 

Unterberger, Julianne see Unterberger, André, 92c:22028 

Varadarajan, V.S. see Cassinelli, Gianni; et al., 92e:81128 

Vincent-Smith, G. F. Quantum stochastic evolutions with unbounded generators. (see 
92i:81011) 

Viadimirov, V.S. On the spectrum of some pseudodifferential operators over the field of p- 
adic numbers. (Russian) 92g:47104 

Vodev, G. Polynomial bounds on the number of scattering poles for symmetric systems. 
(French summary) 92j:81349 

von Waldenfels, W. see Reményi, M., 92c:81240 

Wang, Xue Ping see Robert, D.; et al., 92k:35210 

Watanabe, Hiroshi? Mathematical construction of chiral anomaly. 92j:81318 

Weder, Ricardo Characterization of the scattering data in multidimensional inverse 
scattering theory. 92g:35167 

White, D. A. W. The Stark effect and long range scattering in two Hilbert spaces. 92e:35123 

White, Gregory B. Splitting of the Dirac operator in the nonrelativistic limit. (French 
summary) 92a:81031 

Wiiller, Ulrich Geometric methods in scattering theory of the charge transfer model. 
92k:35070 

Yafaev, D. R. Asymptotics of limit phases in a problem of potential scattering. (Russian) 
92a:35127 








ics for the Schrédinger operator with 


47N Miscellaneous applications of operator theory 


47N55 


— On solutions of the Schrédinger equation with radiation conditions at infinity. (see 
92g:35153) 

— see also Sobolev, Aleksandr Vladimirovich, 92h:81187 and 92k:47020 

Yajima, Kenji see Jensen, Arne”, 92h:81185 and Kato, Tosio, 92i:81041 

Zhitomirskaya, S. Ya. (with Mandel’shtam, V. A.) The Bohm-Aharonov problem on a 
square lattice. (Russian. English summary) 924:81026 

Zhou, Zheng-Fang The contractivity of the free Hamiltonian semigroup in the L, space of 
entire functions. 92h:47055 


Items listed otherwise than by author 


Estimates and asymptotics for discrete spectra of integral and differential equations 
* Estimates and asymptotics for discrete spectra of integral and differential equations. 
92g:35153 

Leningrad * Estimates and asymptotics for discrete spectra of integral and differential 
equations. 92g:35153 

Seminar: 
Mathematical Physics * Estimates and asymptotics for discrete spectra of integral and 

differential equations. 92g:35153 


47N55 Applications in statistical physics 


Carmona, René (with Lacroix, Jean) * Spectral theory of random Schrédinger operators. 
92k:47143 

Lacroix, Jean see Carmona, René, 92k:47143 

Yang, Ming Zhu (with Yao, Ai Xiang) On the spectrum of the transport operator for a 
bounded convex body. 92h:47102 

Yao, Ai Xiang see Yang, Ming Zhu; et al., 92h:47102 


Items with secondary classifications in 47N55 


Abdullaev, Zh. 1. Bound states and resonances of the energy operator of the one-magnon 
spin-polaron system. (Russian. English summary) 92f:81240 

Belavkin, V. P. Multiquantum systems and point processes. I. Generating functionals and 
nonlinear semigroups. 92d:82005 

Belleni-Morante, Aldo The free streaming operator in asymmetric Sobolev spaces. 
92j:47138 

— see also Lauro, Giuliana, (92m:47001) 

Béllissard, Jean Spectral properties of Schrédinger’s operator with a Thue-Morse potential. 
92b:82007 

Botvich, D. D. (with Malyshev, V. A.) Asymptotic completeness and all that for an infinite 
number of fermions. 92j:82041 

(Case, Kenneth M.) see Modern mathematical methods in transport theory, 92h:82112 

Chu, Yi Linear transport equation with indefinite collision operator. 92m:82126 

von Dreifus, Henrique (with Klein, Abel) Localization for random Schrédinger operators 
with correlated potentials. 92i:82061 

Dressler, Klaus (with Moock, Hardy) A constructive solution method for linear transport 
problems. 92c¢:82100 

Englisch, Harald (with Kirsch, Werner; Schréder, Manfred; Simon, Barry) Random 
Hamiltonians ergodic in all but one direction. 92a:47058 

— (with MacKinnon, A.) The band edges of a frustrated random Schrédinger operator. 
92¢:82059 

Frolov, S. V. see Pavlov, B. S., 92i:81372 

Frosali, Giovanni Functional-analytic techniques in the study of time-dependent electron 
swarms in weakly ionized gases. 92m:82132 

Goderis, D. (with Verbeure, A.; Vets, P.) About the exactness of the linear response theory. 
92d:82057 

Gohberg, Israel (with Kaashoek, M. A.) The Wiener-Hopf method for the transport 
equation: a finite-dimensional version. (see 92h:82112) 

Gordon, A. Ya. A deterministic potential with a purely point spectrum. (Russian) 
92b:34104 

(Greenberg, William) see Modern mathematical methods in transport theory, 92h:82112 

Jerome, Joseph W. (with Kerkhoven, Thomas) A finite element approximation theory for 
the drift diffusion semiconductor model. 92k:65012 

Kaashoek, M. A. see Gohberg, Israel, (92h:82112) 

Kerkhoven, Thomas see Jerome, Joseph W., 92k:65012 

Kirsch, Werner (with Nitzschner, Frank) Lifshitz-tails and non-Lifshitz-tails for one- 
dimensional random point interactions. 92g:82058 

— (with Molchanov, S. A.; Pastur, L. A.) The one-dimensional Schrédinger operator with 
unbounded potential: the pure point spectrum. (Russian) 92e:47080 

— see also Englisch, Harald; et al., 92a:47058 

Klein, Abel see von Dreifus, Henrique, 92i:82061 

Kravchuk, N. V. Some aspects of the concept of irreversibility in physics. (Russian. English 
summary) 92¢:82067 

Kuperin, Yu. A. A selfadjoint dilation of the linear Boltzmann operator. (see 92c:00015) 

Lauro, Giuliana (with Belleni-Morante, Aldo) On some spectral properties of the streaming 
operator with mollified boundary conditions. (see 92m:47001) 

MacKinnon, A. see Englisch, Harald, 92c:82059 

Makin, R.S. On the spectrum of a stationary single-velocity transport equation with 
boundary conditions of reflection type. (Russian) 92b:82112 

Malozémov, L. A. On the absolutely continuous spectrum of the Schrédinger difference 
operator. (Russian) 92¢:47044 

Malyshev, V. A. see Botvich, D. D., 92j:82041 

Mandel'shtam, V. A. (with Zhitomirskaya, S. Ya.) 1D-quasiperiodic operators. Latent 
symmetries. 92i:81053 

van der Mee, C. V. M. Trace theorems and kinetic equations for non-divergence-free 
external forces. 92i:82096 

Mokhtar-Kharroubi, Mustapha Spectral theory of the multigroup neutron transport 
operator. 92e:82058 

— W'* regularity in transport theory. 92k:47138 

— Régularité de Sobolev en théorie du transport et applications aux problémes 
d’approximation. (English summary) [Sobolev regularity in transport theory and appli- 





47N55 


cations to approximation problems] 92m:82127 

— Time asymptotic behaviour and compactness in transport theory. 92k:82063 

Molchanov, S. A. Ideas in the theory of random media. 92m:82067 

— see also Kirsch, Werner; et al., 92e:47080 

Moock, Hardy see Dressler, Klaus, 92c:82100 

Nitzschner, Frank see Kirsch, Werner, 92g:82058 

Nussbaum, Roger D. Convergence of iterates of a nonlinear operator arising in statistical 
mechanics. 92j:47103 

Ozawa, Shin Fluctuation of spectra in random media. II. 92j:35133 

Pastur, L. A. see Kirsch, Werner; et al., 92¢:47080 

Pavlov, B.S. (with Frolov, S. V.) A formula for the sum of the effective masses of a 
multidimensional lattice. (Russian. English summary) 92i:81372 

Petrina, E. D. Spectral properties of the Mayer-Montroll operator. (Russian. English 
summary) 92m:82014 

(Polewczak, Jacek) see Modern mathematical methods in transport theory, 92h:82112 

Schréder, Manfred see Englisch, Harald; et al., 92a:47058 

Simon, Barry see Englisch, Harald; et al., 92a:47058 

Verbeure, A. see Goderis, D.; et al., 92d:82057 

Vets, P. see Goderis, D.; et al., 92d:82057 

Wang, Mian Sen see Xu, Jian Guo; et al., 92h:82111 

Watling, Neil A. Critical limit one-point correlations of monodromy fields on Z?. 
92e:82014 

Xu, Jian Guo (with Wang, Mian Sen; Zhu, Guang Tian) Asymptotic behavior of the 
solution for the neutron transport equation in a slab with generalized reflecting boundary 
conditions. 92h:82111 

Zegarliiski, Bogusiaw On log-Sobolev inequalities for infinite lattice systems. 92g:46037 

Zhitomirskaya, S. Ya. The singular spectrum and scale invariance for a Schrédinger 
operator with a binary almost periodic potential. (Russian) 92¢:82015 

— Spectral properties of one-dimensional almost periodic operators. (Russian) 92h:47051 

— see also Mandel'shtam, V. A., 92i:81053 

Zhou, Zheng-Fang The contractivity of the free Hamiltonian semigroup in the L, space of 
entire functions. 92h:47055 

Zhu, Guang Tian see Xu, Jian Guo; et al., 92h:82111 

(Zweifel, Paul F.) see Modern mathematical methods in transport theory, 92h:82112 

Items listed otherwise than by author 

Blacksburg, VA * Modern mathematical methods in transport theory. 92h:82112 

Conference: 
Transport Theory * Modern mathematical methods in transport theory. 92h:82112 

Modern mathematical methods in transport theory * Modern mathematical methods in 
transport theory. 92h:82112 

Symposium: 
Case, Kenneth M. * Modern mathematical methods in transport theory. 92h:82112 
Zweifel, Paul * Modern mathematical methods in transport theory. 92h:82112 


47N60 Applications in biology and other sciences 


Items with secondary classifications in 47N60 

Barr, Thomas H. Approximation for age-structured population models using projection 
methods. 92£:92026 

Chyan, Chuan J. (with Webb, G. F.) A model of proliferating cell populations with 
correlation of mother-daughter mitotic times. 92m:92011 

Kremer, Jiirgen (with Louis, Alfred K.) On the mathematical foundations of hyperthermia 
therapy. 92e:92010 

Louis, Alfred K. see Kremer, Jiirgen, 92¢:92010 

Razzhevaikin, V. N. * SpomouHOHHad ONTHMAIbHOCTb H YCTOHYHBOCTS B pacnpeesIeHHbIX 
cuctemax. (Russian) [Evolutionary optimality and stability in distributed systems] 
92h:47098 

Webb, G. F. see Chyan, Chuan J., 92m:92011 


47N70 Applications in systems theory, circuits, etc. 


Ball, Joseph A. (with Rakowski, Marek) Zero-pole structure of nonregular rational matrix 
functions. 92i:47094 

Dé Céng Khanh Minimality of passive scattering systems under cascade coupling. (Russian) 
92c:47087 

— Factorization of transfer functions. II. Minimality of passive scattering systems with 
cascade coupling. (Russian. Ukrainian summary) 92c:47086 

Foias, Ciprian (with Tannenbaum, Allen) Standard problem for distributed systems. (see 
92b:93007) 

Lasiecka, Irena (with Triggiani, Roberto) Numerical approximations of algebraic Riccati 
equations for abstract systems modelled by analytic semigroups, and applications. 
924:47095 

Megretskii, A. V. Fixed points in systems with integral quadratic feedback. (Russian. 
English summary) 92i:47095 

Nikoukhah, Ramine Constructing autonomous boundary-value linear systems from acausal 
input-output functions. 92m:47159 

Rakowski, Marek see Ball, Joseph A., 92i:47094 

Tannenbaum, Allen see Foias, Ciprian, (92b:93007) 

Triggiani, Roberto see Lasiecka, Irena, 92d:47095 


Items with secondary classifications in 47N70 
Acquistapace, P. (with Flandoli, Franco; Terreni, B.) Initial-boundary value problems and 
optimal control for nonautonomous parabolic systems. 92b:49038 


Ahmed, N. U. * Semigroup theory with applications to systems and control. 92e:47069 

— see also Li, Peng, 92j:93132 

Alpay, Daniel (with Dewilde, Patrick M.) Time-varying signal approximation and 
estimation. 92g:94002 

Arazy, Jonathan Operator means and networks. 924:47026 


OPERATOR THEORY 1992 820 


Arlinskii, Yu. M. Characteristic functions of operators of the class C(a). (Russian) 
92k:47021 

Aubin, Jean-Pierre * Viability theory. 92k:49003 

Augenstein, David L. see Frazho, Arthur E., 92d:47022 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) On the sensitivity and relaxability 
of optimal control problems governed by nonlinear evolution equations with state 
constraints. 92h:49003 

Ball, Joseph A. (with Gohberg, Israel; Rodman, Leiba) * Interpolation of rational matrix 
functions. 92m:47027 

— (with Helton, J. William) Nonlinear H© control theory: a literature survey. 92g:93043 

— (with Carpenter, Lonnie E.) Realizations of products and Wiener-Hopf factors for a class 
of matrix functions analytic in a strip. 92g:47019 

Banks, H. T. (with Reich, Simeon; Rosen, I. G.) Galerkin approximation for inverse 
problems for nonautonomous nonlinear distributed systems. 92i:65102 

Bensoussan, Alain (with Nisio, M.) Nonlinear semigroup arising in the control of diffusions 
with partial observation. 92a:93126 

Bercovici, Hari (with Foias, Ciprian; Tannenbaum, Allen) Structured interpolation theory. 
92k:47032 

— (with Foias, Ciprian; Tannenbaum, Allen) Spectral variants of the Nevanlinna-Pick 
interpolation problem. 92k:47031 

Besler, I. (with Daugavet, I. K.) Approximation of nonlinear operators by Volterra 
polynomials. (Russian) 92h:47097 

Bontsema, Jan (with Curtain, Ruth F.) Perturbation properties of a class of infinite- 
dimensional systems with unbounded control and observation. 924:93074 

Brokate, Martin Optimal control of systems described by ordinary differential equations 
with nonlinear characteristics of hysteresis type. [I]. (Russian) 92m:49002 

Burns, John A. (with Liu, Zhuangyi; Miller, Robert E.) Approximations of thermoelastic 
and viscoelastic control sy 92h:49030 

Callier, Frank M. (with Winkin, J.) A spectral factorization approach to LQ-optimal 
control of infinite-dimensional state-space systems. (see 92f:93005) 

C4rja, Ovidiu Constraint controllability for linear control systems. 92m:93005 

Carpenter, Lonnie E. see Ball, Joseph A., 92g:47019 

Celebi, A. Okay see Leblebicioglu, M. Kemal, 92j:49019 

Chen, Guan Rong (with de Figueiredo, Rui J. P.) On construction of coprime factorizations 
for nonlinear feedback control systems. 92m:93010 

Chen, Wan Yi Stabilizability, controllability and observability of linear continuous-time 
systems defined over a commutative Banach algebra. 92g:93031 

Chukwu, E. N. (with Lenhart, Suzanne M.) Controllability questions for nonlinear systems 
in abstract spaces. 92d:93022 

Constantinescu, Tiberiu Some aspects of nonstationarity. I. 92f:47005 

Curtain, Ruth F. see Bontsema, Jan, 92d:93074 

Da Prato, Giuseppe (with Delfour, Michel C.) Unbounded solutions to the linear quadratic 
control problem. 92k:49069 

Daugavet, I. K. see Besler, I., 92h:47097 

Deciu, Elena Some properties of the adjoint monic nodes on complex Hilbert spaces. 
(Romanian summary) 92b:47013 

Delfour, Michel C. see Da Prato, Giuseppe, 92k:49069 

Dewilde, Patrick M. see Alpay, Daniel, 92g:94002 

Dé Céng Khanh (+)-regular factorization and best minorant. (Russian) 92i:47012 

Doyle, John C. see Green, Michael; et al., 92¢:93040 and 92f:93043 

Dym, Harry On reproducing kernel spaces, J unitary matrix functions, interpolation and 
displacement rank. 92f:46024 

— RKHS, LIS and interpolation. 92j:47033 

de Figueiredo, Rui J. P. see Chen, Guan Rong, 92m:93010 

Flandoli, Franco see Acquistapace, P.; et al., 92b:49038 

Flytzanis, Elias (with Papageorgiou, Nikolaos S.) On the existence of optimal controls for a 
class of nonlinear infinite-dimensional systems. 92c:49004 ; 

Foias, Ciprian (with Frazho, Arthur E.) * The commutant lifting approach to interpolation 
problems. 92k:47033 

— (with Tannenbaum, Allen) On the singular values of the four-block operator and certain 
generalized interpolation problems. 92d:47021 

— (with Tannenbaum, Allen) Nonlinear H™ theory. 92f:93042 

— see also Bercovici, Hari; et al., 92k:47031 and 92k:47032 

Frazho, Arthur E. (with Augenstein, David L.) A remark on two solutions to the rational 
Nehari interpolation problem. 92d:47022 

— see also Foias, Ciprian, 92k:47033 

Fuhrmann, P. A. Functional models in linear algebra. 92k:93044 

Ganesh, M. (with Joshi, Mohan C.) Optimality of nonlinear control systems. 92a:49007 

Glover, Keith see Green, Michael; et al., 92c:93040; 92f:93043 and Mustafa, Denis, 
92g:93002 

Gohberg, Israel (with Rubinstein, Sorin) Minimal symplectic orbits of rational contractive 
matrix functions. 92a:47018 

— (with Kaashoek, M. A.; Woerdeman, H. J.) A maximum entropy principle in the general 
framework of the band method. 92b:47020 

— (with Kaashoek, M. A.; Lerer, Leonid) A directional partial realization problem. 
925:93026 

— see also Ball, Joseph A.; et al., 92m:47027 

Golichev, I. I. On the spectrum of a system determining the optimal control. (Russian) (see 
92£:00019) 

Gombani, Andrea On balancing and Hankel operators. 92j:93029 

Gorin, E. A. (with Krasnosel'skii, M. A.; Kuznetsov, N. A.) Algorithms for the nonparamet- 
ric identification of linear systems. (Russian) 

Green, Michael (with Glover, Keith; Limebeer, David J. N.; Doyle, John C.) A J-spectral 
factorization approach to H,, control. 92f:93043 

— (with Limebeer, David J. N.) Vector interpolation, %, control and model reduction. 
92g:93046 

— (with Glover, Keith; Limebeer, David J. N.; Doyle, John C.) A J-spectral factorization 
approach to %, control. 92¢:93040 

Hansen, Scott W. (with Weiss, George) The operator Carleson measure criterion for 
admissibility of control operators for diagonal semigroups on /?. 92a:93062 








821 1992 


Helmicki, Arthur J. (with Jacobson, Clas A.; Nett, Carl N.) Control oriented system 
identification: a worst-case/deterministic approach in H... 92i:93035 

Helton, J. William Optimal frequency domain design vs. an area of several complex 
variables. 92g:93048 

— see also Ball, Joseph A., 92g:93043 

Hokkanen, Veli-Matti On some nonlinear dynamic systems. (see 92m:49004) 

Hu, Ying N-person differential games governed by semilinear stochastic evolution systems. 
92g:90184 

Ito, Kazuho (with Kunimatsu, Noboru) Semigroup model and stability of the structurally 
damped Timoshenko beam with boundary inputs. 924:93073 

Jacobson, Clas A. see Helmicki, Arthur J.; et al., 92i:93035 

Joshi, Mohan C. see Ganesh, M., 922:49007 

Kaashoek, M. A. see Gohberg, Israel; et al., 92b:47020 and 92j:93026 

Khargonekar, Pramod P. (with Nagpal, Krishan M.; Poolla, Kameshwar R.) H,,. control 
with transients. 92h:93037 

— see also Ravi, R.; et al., 92i:93038 

(Kolmanovskii, V. B.) see Brokate, Martin, 92m:49002 

(Koroleva, N.1.) see Brokate, Martin, 92m:49002 

Krasnosel'skii, A. M. (with Krasnosel’/skii, M. A.; Kuznetsov, N. A.) Nonlinear systems 
with incomplete corrections and their stability. (Russian) 92j:47123 

Krasnosel'skii, M. A. see Krasnosel’skii, A. M.; et al., 92j:47123 and Gorin, E. A.; et al. 

Kunimatsu, Noboru see Ito, Kazuho, 92d:93073 

Kuznetsov, N. A. see Krasnosel'skii, A. M.; et al., 92j:47123 and Gorin, E. A.; et al. 

Kwan, Young Chel (with Park, Jong Yeoul; Ryu, Jong Won) Approximate controllability 
and controllability for delay Volterra system. 92k:93023 

Lasiecka, Irena (with Triggiani, Roberto) * Differential and algebraic Riccati equations 
with application to boundary/point control problems: continuous theory and approxima- 
tion theory. 92k:93009 

— Exponential stabilization of hyperbolic systems with nonlinear, unbounded 
perturbations—Riccati operator approach. 92m:47153 

— (with Triggiani, Roberto) Exact controllability and uniform stabilization of Euler- 
Bernoulli equations with boundary control only in Aw|s. (Italian summary) 92i:93013 

Leblebicioglu, M. Kemal (with Celebi, A. Okay) An optimal control problem with nonlinear 
elliptic state equations. 92j:49019 

Lenhart, Suzanne M. see Chukwu, E. N., 92d:93022 

Lerer, Leonid see Gohberg, Israel; et al., 92j:93026 

Li, Chi-Kwong (with Rodman, Leiba; Tsing, Nam-Kiu) Linear operators preserving certain 
equivalence relations originating in system theory. 92k:93046 

Li, Peng (with Ahmed, N. U.) Feedback stabilization of some nonlinear stochastic systems 
on Hilbert space. 92j:93132 

Limebeer, David J. N. see Green, Michael; et al., 92c:93040; 921:93043 and 92g:93046 

Liu, Zhuangyi see Burns, John A.; et al., 92h:49030 

Makila, Pertti M. Laguerre series approximation of infinite-dimensional systems. 
92b:93040 

— On identification of stable systems and optimal approximation. 92h:93032 

Maksimov, V.I. On the stable solution of inverse problems for nonlinear distributed 
systems. II. (Russian) 92k:49077 

Megan, Mihail (with Preda, Petre) Conditions for exponential stability of difference 
equations in Banach spaces. 92j:93081 

Melnik, V.S. Extremal problems for operator-differential systems. (Russian) 92g:49003 

Miller, Robert E. see Burns, John A.; et al., 92h:49030 

Mustafa, Denis (with Glover, Keith) * Minimum entropy H,,. control. 92g:93002 

Nagpal, Krishan M. see Khargonekar, Pramod P.; et al., 92h:93037 and Ravi, R.; et al., 
92i:93038 

Nakagiri, S. Controllability and identifiability for linear time-delay systems in Hilbert 
space. 92k:93025 

Nambu, Takao Stabilization of parabolic systems via a degenerate nonnegative feedback. 
92j:93103 

Nett, Carl N. see Helmicki, Arthur J.; et al., 92i:93035 

Nguyén Van Mau Boundary value problems and controllability of linear systems with right 
invertible operators. 92m:47019 

Nisio, M. see Bensoussan, Alain, 92a:93126 

Ober, Raimund Balanced parametrization of classes of linear systems. 92j:93028 

— (with Sefton, J. A.) Stability of control systems and graphs of linear systems. 92i:93067 

Ozbay, Hitay (with Tannenbaum, Allen) On the synthesis of H® optimal controllers for 
infinite-dimensional plants. 92f:93047 

Pandolfi, Luciano A Lyapunov theorem for semigroups of operators. 92b:47060 

— (with Zwart, Hans) Stability of perturbed linear distributed parameter systems. 
92j:93083 

Papageorgiou, Nikolaos S. On the well-posedness and relaxability of nonlinear distributed 
parameter systems. (see 92d:00037) 

— Existence of optimal controls for a class of nonlinear distributed parameter systems. 
922:49004 

— On infinite-dimensional control systems with state and control constraints. 92b:49044 

— see also Flytzanis, Elias, 92c:49004 and Avgerinos, Evgenios P., 92h:49003 

Park, Jong Yeoul see Kwun, Young Chel; et al., 92k:93023 

Pedersen, Michael Pseudodifferential perturbations and stabilization of distributed 
parameter systems: Dirichlet feedback control problems. 92b:93071 

Pokrovskaya, N. D. Forced periodic regimes in control systems with regularization by 
derivative. (Russian) 92a:93050 

Poolla, Kameshwar R. see Khargonekar, Pramod P.; et al., 92h:93037 

Preda, Petre see Megan, Mihail, 92j:93081 

Pritchard, A. J. (with Townley, S.) Real stability radii for infinite-dimensional systems. 
92:93091 

Ran, André C. M. (with Rodman, Leiba) On symmetric factorizations of rational matrix 
functions. 92m:47026 

Ravi, R. (with Nagpal, Krishan M.; Khargonekar, Pramod P.) H® control of linear time- 
varying systems: a state-space approach. 92i:93038 

Reich, Simeon see Banks, H. T.; et al., 92i:65102 





47N Miscellaneous applications of operator theory 


47N99 


Rodman, Leiba see Li, Chi-Kwong; et al., 92k:93046; Ran, André C. M., 92m:47026 and Ball, 
Joseph A.; et al., 92m:47027 

Rosen, I. G. (with Su, Chien-Hua Frank) An approximation theory for the identification of 
linear thermoelastic systems. 92d:93048 

— see also Banks, H. T.; et al., 92i:65102 

Rubinstein, Sorin see Gohberg, Israel, 92a:47018 

Ryu, Jong Won see Kwun, Young Chel; et al., 92k:93023 

Scherer, Carsten H,.-control by state-feedback for plants with zeros on the imaginary axis. 
92k:93055 

— H,.-optimization without assumptions on finite or infinite zeros. 92k:93056 

Sefton, J. A. see Ober, Raimund, 92i:93067 

Serovaiskii, S. Ya. Linearizability of infinite-dimensional control systems. (Russian) 
92d:93042 

Su, Chien-Hua Frank see Rosen, I. G., 92d:93048 

Sun, H. W. (with Zhao, Yi) Some new results on approximate controllability for semilinear 
systems. 92g:93019 

Tannenbaum, Allen see Foias, Ciprian, 92d:47021; 92f:93042; Ozbay, Hitay, 92f:93047; 
Bercovici, Hari; et al., 92k:47031 and 92k:47032 

Terreni, B. see Acquistapace, P.; et al., 92b:49038 

Townley, S. see Pritchard, A. J., 92f:93091 

Triggiani, Roberto Regularity of some structurally damped problems with point control and 
with boundary control. 92k:35036 

— see also Lasiecka, Irena, 92i:93013 and 92k:93009 

Tsekanovskii, E.R. see Tsekanovskii, V. E., 92h:47013 

Tsekanovskii, V.E. (with Tsekanovskii, E. R.) Stieltjes operator functions with gaps and 
their realization by conservative systems. (Russian) 92h:47013 

Tsing, Nam-Kiu see Li, Chi-Kwong; et al., 92k:93046 

Tudor, Constantin Quadratic control for stochastic systems defined by evolution operators 
and square integrable martingales. 92k:93121 

Viadimirov, A. A. Realization of some input-output correspondences in a finite-dimensional 
space. (Russian) 92b:93019 

Wang, Yu Wen Some time optimal control problems in nonreflexive Banach spaces. 
92d:49043 

Wegert, Elias On boundary value problems and extremal problems for holomorphic 
functions. 92m:30076 

Weiss, George see Hansen, Scott W., 92a:93062 

Wen, John Ting-Yung Stability of a class of interconnected evolution systems. 92j:93084 

Winkin, J. see Callier, Frank M., (92£:93005) 

Woerdeman, H. J. see Gohberg, Israel; et al., 92b:47020 

Wa, Jing Bo Single input controllability for spectral systems in Banach spaces. (see 
92d:93004) 

Yong, Jiong Min Optimal switching and impulse controls for distributed parameter systems. 
92c:93058 

You, Pu Hong Boundary feedback control of elastic beam equation with structural damping 
and stability. 92b:93066 

Zhao, Yi see Sun, H. W., 92g:93019 

Zwart, Hans see Pandolfi, Luciano, 92j:93083 


47N99 None of the above, but in this section 


Agrawal, Purshottam Narain (with Gupta, Vijay) On the iterative combination of Phillips 
operators. 92e:47131 

Gupta, Vijay see Agrawal, Purshottam Narain, 92e:47131 

Horbacz, Katarzyna Statistical properties of the Ejgielies model of a cogged bit. 92i:47096 

Mazure, M.-L. Equations de convolution et formes quadratiques. (English summary) 
[Convolution equations and quadratic forms] 92k:47144 


Items with secondary classifications in 47N99 

Adukov, V.M. On Wiener-Hopf factorization of meromorphic matrix functions. 
92m:47039 

Alpay, Daniel Some reproducing kernel spaces of continuous functions. 92k:46033 

Blot, Joél Le théoreme de Markov-Kakutani et la presque-périodicité. (English summary) 
[The Markov-Kakutani theorem and almost periodicity] 92j:43008 

Bruzual, Ram6n Integral representation of kernels invariant with respect to local semigroups 
of isometries and generalization of the Krein-Schwartz theorem. 92m:47041 

Chenais, D. (with Rousselet, Bernard) Dependence of the buckling load of a nonshallow 
arch with respect to the shape of its midcurve. (French summary) 92d:73028 

Coifman, Ronald R. Adapted multiresolution analysis, computation, signal processing and 
operator theory. (see 92m:00054) 

Connes, Alain On the Chern character of @ summable Fredholm modules. 92i:19003 

De Bievre, S. (with Pravica, D. W.) Spectral analysis for optical fibres and stratified fluids. 
I. The limiting absorption principle. 92e:35114 

Del Vecchio, T. On the homogenization of a class of pseudomonotone operators in 
divergence form. (Italian summary) 92e:35030 

Dorofeev, S. V. (with Sherstnev, A. N.) Functions of frame type and their applications. 
(Russian) 92¢:46126 

Dye, John M. (with Reich, Simeon) On the unrestricted iteration of projections in Hilbert 
space. 92j:47035 

Froese, R. (with Hislop, Peter D.; Perry, Peter A.) A Mourre estimate and related bounds 
for hyperbolic manifolds with cusps of nonmaximal rank. 92h:58198 

de Gosson, Maurice Maslov indices on the metaplectic group Mp(”). (French summary) 
92e:22027 

Hislop, Peter D. see Froese, R.; et al., 92h:58198 

Ionescu, Ioan R. Functional and numerical methods in rate-type viscoplasticity. (Romanian. 
English summary) 92c:73050 

Janas, Jan (with Rudol, K.) Toeplitz operators on the Segal-Bargmann space of infinitely 
many variables. 92e:47041 

Kalyuzhnyi, A. A. Duality of generators of one-dimensional compact and discrete hyper- 
complex systems. (Russian) 92g:43005 





47N99 


Kopachevskil, N. D. Inversion of Lagrange’s theorem on the stability of small oscillations of 
a capillary viscous fluid. (Russian) 92c:76035 

Kutera, Viadimir Algebraic Riccati equation: Hermitian and definite solutions. (see 
92d:93008) 

Lancaster, Peter (with Rodman, Leiba) Solutions of the continuous and discrete-time 
algebraic Riccati equations: a review. (see 92d:93008) 

Lasota, Andrzej (with Tyrcha, Joanna) On the strong convergence to equilibrium for 
randomly perturbed dynamical systems. 92i:58159 

Latushkin, Yu. D. (with Stépin, A.M.) Weighted shift operators, the spectral theory of 
linear extensions and a multiplicative ergodic theorem. (Russian) 92d:47046 

Moindr, Lajos Note on Saworotnow’s representation theorem on positive definite functions. 
925:46097 

Pavlov, B.S. (with Popov, I. Yu.) An acoustic model of zero-width slits and the hydrody- 
namic stability of a boundary layer. (Russian. English summary) 92e:76057 

Perry, Peter A. see Froese, R.; et al., 92h:58198 

Popov, I. Yu. see Pavlov, B. S., 92e:76057 

Prado, Humberto E. A geometric construction of local representations of local Lie groups. 
92j:22014 

Pravica, D. W. see De Biévre, S., 92e:35114 

Raikov, George D. The spectrum of a linear magnetohydrodynamic model with cylindrical 
symmetry. 92j:76107 

Ransford, T. J. (with White, M. C.) Holomorphic self-maps of the spectral unit ball. 
92g:32049 

Reich, Simeon see Dye, John M., 92j:47035 

Riddle, Lawrence H. An occurrence of the ballot numbers in operator theory. 92f:05012 

Robinson, Derek W. * Elliptic operators and Lie groups. 92m:58133 

Rodman, Leiba see Lancaster, Peter, (92d:93008) 

Rousselet, Bernard see Chenais, D., 92d:73028 

Rudol, K. see Janas, Jan, 92e:47041 

Sherstnev, A. N. see Dorofeev, S. V., 92¢:46126 

Stépin, A.M. see Latushkin, Yu. D., 92d:47046 

Talagrand, Michel Type, infratype and the Elton-Pajor theorem. 92m:46028 

Tyrcha, Joanna see Lasota, Andrzej, 92i:58159 

White, M.C. see Ransford, T. J., 92g:32049 

Xiang, Shu Wen see Zhang, Shi Sheng; et al., 92g:47100 

Zhang, Shi Sheng (with Xiang, Shu Wen) On the existence and uniqueness of solutions for 





a class of variational inequalities with applications to the Signorini problem in mechanics. 


(Chinese. English summary) 92g:47100 


47Sxx Other (nonclassical) types of operator theory 
[see also 46Sxx] 


47810 Operator theory over fields other than R, C or the 
quaternions; non-Archimedean operator theory 
Pérez-Garcia, Cristina Semi-Fredholm and compact operators on p-adic Banach spaces. 
92a:47076 
van Rooij, A.C. M. A determinant for almost-isometric linear maps. 92e:47132 


Viadimirov, V.S. On the spectrum of some pseudodifferential operators over the field of p- 
adic numbers. (Russian) 92g:47104 


Items with secondary classifications in 47S10 

Alvarez Garcia, José Antonio (with Onieva, Victor Manuel) On gaps in non-Archimedean 
Banach spaces. (Spanish) (see 92g:00024) 

Ismagilov, R.S. On the spectrum of a selfadjoint operator in L2(K), where K is a local field; 
an analogue of the Feynman-Kac formula. (Russian. English summary) 92m:47049 

Khrennikov, A. Yu. Representation of second quantization over non-Archimedean number 
fields. (Russian) 92f:81221 

Kochubei, A. N. An operator of Schrédinger type over the p-adic number field. (Russian. 
English summary) 92¢:47082 

Li, Ming Zhu Fixed-point theorems for single-valued and multi-valued mappings in non- 
Archimedean Menger probabilistic metric spaces. (Chinese. English summary) 92f:47062 

Onieva, Victor Manuel see Alvarez Garcia, José Antonio, (92g:00024) 

Pospelov, A.S. Eigenfunctions of a p-adic and a discrete Fourier transform. (Russian. 
English summary) 92f:43013 


47S20 Nonstandard operator theory [see also 03H05] 


Items with secondary classifications in 47S20 

Bertoglio, Néstor (with Martinez, Servet A.) Simple nests invariant by compact selfadjoint 
operators: a nonstandard approach. 92j:47069 

Kudrik, T.S. (with Lyantse, V.E.) Near-standardness. (Russian) 92i:03072 

Lyantse, V.E. see Kudrik, T. S., 92i:03072 

Martinez, Servet A. see Bertoglio, Néstor, 92j:47069 

Nagamachi, Shigeaki (with Nishimura, Takeshi) Nonstandard analysis of linear canonical 
transformations on a fermion Fock space with an indefinite metric. 92m:81294 

Nishimura, Takeshi see Nagamachi, Shigeaki, 92m:81294 


47S30 Constructive operator theory [see also 03F65] 
Items with secondary classifications in 47830 


Ishihara, Hajime Constructive compact operators on a Hilbert space. 92c:03066 


47S40 Fuzzy operator theory [see also 04A72] 
Li, Ke Xiu see Wu, Cong Xin; et al., 924:47096 


OPERATOR THEORY 


Ma, Ming see Wu, Cong Xin; et al., 92d:47096 
Wu, Cong Xin (with Ma, Ming; Li, Ke Xiu) Continuity and boundedness of operators on 
fuzzy normed spaces. (Chinese. English summary) 92d:47096 


47S50 Operator theory in probabilistic metric linear spaces 


Zeng, Wen Zhi Probability contractors and equations in probabilistic normed spaces. 
(Chinese. English summary) 92e:47133 


Items with secondary classifications in 47S50 

Chen, Yu Qing see Zhang, Shi Sheng; et al., 92b:47086 

Chen, Zhao Jiang Common fixed point theorems for commuting maps on SST-probabilistic 
metric spaces. (Chinese. English summary) 

Cho, Yeol Je (with Park, K. S.; Park, W. T.; Kim, Jong Kyu) Coincidence point theorems in 
probabilistic metric spaces. 92k:47107 

Constantin, Gheorghe (with Istratescu, loana) * Elements of probabilistic analysis with 
applications. 92g:46097 

(Giurgiutiu, Victor) see Constantin, Gheorghe, 92g:46097 

Gong, Huai Yun (with Li, Tian) Local boundedness in probabilistic normed spaces. 
(Chinese. English summary) 92i:46091 

Hadzié, Olga A fixed point theorem in a class of random paranormed spaces. (Serbo- 
Croatian summary) 92g:47085 

Istratescu, Ioana see Constantin, Gheorghe, 92g:46097 

Kim, Jong Kyu see Cho, Yeol Je; et al., 92k:47107 

Li, Ming Zhu Fixed-point theorems for single-valued and multi-valued mappings in non- 
Archimedean Menger probabilistic metric spaces. (Chinese. English summary) 92:47062 

Li, Tian see Gong, Huai Yun; et al., 92i:46091 

Park, K.S. see Cho, Yeol Je; et al., 92k:47107 

Park, W.T. see Cho, Yeol Je; et al., 92k:47107 

Su, Yong Fu The Hahn-Banach theorem for a class of linear functionals in probabilistic 
normed spaces and its applications. (Chinese. English summary) 92h:46114 

Sultanbekov, F. F. Multiplicative inequalities for random norms. (Russian) 92f:46100 

Yan, Ge Xing Completion of linear (completely) continuous operator spaces in locally 
bounded Menger probabilistic normed spaces. (Chinese. English summary) 92f:46101 

Zhang, Shi Sheng (with Chen, Yu Qing) On the existence of solutions for equations 
with accretive mappings in probabilistic normed spaces. (Chinese. English summary) 
92b:47086 


47S99 None of the above, but in this section 


Items with secondary classifications in 47899 

Janas, Jan (with Rudol, K.) Toeplitz operators on the Segal-Bargmann space of infinitely 
many variables. 92e:47041 

Kusraev, A. G. On the structure of vector measures and complete Boolean algebras. 
(Russian) 92k:28020 

Pugach, V.1I. Extensions and characteristic function of a linear antisymmetric operator in a 
quaternion Hilbert space. (Russian) (see 92d:28002) 

Rudol, K. see Janas, Jan, 92e:47041 


49-XX Calculus of variations and optimal control; 
optimization [see also 34H05, 65Kxx, 
90Cxx, 93-XX] 


49-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 49-00 
(Nemhauser, George L.) see Optimization, 92a:90001 
(Rinnooy Kan, Alexander H. G.) see Optimization, 92a:90001 
(Todd, Michael J.) see Optimization, 92a:90001 


Items listed otherwise than by author 
Optimization * Optimization. 92a:90001 


49-01 Instructional exposition (textbooks, tutorial papers, etc.) 


(Bertsekas, Dimitri P.) see Polyak, B. T., 92b:49001 

Brechtken-Manderscheid, U. * Introduction to the calculus of variations. 92k:49001 

(Carathéodory, Constantin) see Kracht, Manfred W., 92g:49001 

(Engstrom, P.G.) see Brechtken-Manderscheid, U., 92k:49001 

Giusti, Enrico Direct methods in the calculus of variations. (see 92h:00023) 

Hocking, Leslie M. * Optimal control. 924:49001 

Kosmol, Peter * Optimierung und Approximation. (German) [Optimization and approxi- 
mation] 92m:49001 

Kracht, Manfred W. (with Kreyszig, Erwin) On Carathéodory’s theory of discontinuous 
extremals and generalizations. 92g:49001 

Kreyszig, Erwin see Kracht, Manfred W., 92g:49001 

Neittaanmaki, Pekka Optimal shape design. (see 92i:93006) 

Polyak, B. T. * Introduction to optimization. 92b:49001 

(Shenitzer, Abe) see Tikhomirov, V. M., 92k:49002 

Tikhomirov, V.M. * Stories about maxima and minima. 92k:49002 














823 1992 


Items with secondary classifications in 49-01 

Bianchi, Monica * Introduzione alla teoria dell’ottimizzazione. (Italian) [Introduction to 
optimization theory] 

Gabasov, R. (with Kirillova, F.M.) Stability, stabilization and optimality. (Russian) 

Giirdal, Zafer see Haftka, Raphael T., 92m:73088 

Haftka, Raphael T. (with Giirdal, Zafer) * Elements of structural optimization. 
92m:73088 

Hajek, Otomar * Control theory in the plane. 92b:93002 

Holly, Sean (with Hughes-Hallett, Andrew) * Optimal control, expectations and uncer- 
tainty. 92k:93001 

Hughes-Hallett, Andrew see Holly, Sean, 92k:93001 

Kirillova, F.M. see Gabasov, R. 


49-02 Research exposition (monographs, survey articles) 


Afanas’‘ev, A. P. (with Dikusar, V. V.; Milyutin, A. A.; Chukanov, S. A.) * Heo6xozumoe 
yculOBHe B ONTHMAaJIbHOM ynpaBseHHu. (Russian) [A necessary condition in optimal 
control] 92i:49001 

Aubin, Jean-Pierre * Viability theory. 92k:49003 

Baturin, V. A. (with Dykhta, V. A.; Moskalenko, A. L.; et al.) %* Meroasi pemenua 3ana4 
TeOpHH ypaBJIeHHA Ha OCHOBe NPHHIHNa pacummpenua. (Russian) [Methods for solving 
problems in control theory on the basis of the extension principle] 92k:49004 

Brokate, Martin Optimal control of systems described by ordinary differential equations 
with nonlinear characteristics of hysteresis type. [I]. (Russian) 92m:49002 

Carlson, Dean A. (with Haurie, A.) * Infinite horizon optimal control. 92e:49001 

Chukanov, S. A. see Afanas’ev, A. P.; et al., 92i:49001 

Dikusar, V. V. see Afanas’ev, A. P.; et al., 92i:49001 

Dykhta, V. A. see Baturin, V. A.; et al., 92k:49004 

Escultura, Edgar E. * Introduction to qualitative control theory. 

Goh, C. J. see Teo, Kok Lay; et al., 92m:49003 

Haurie, A. see Carlson, Dean A., 92e:49001 

Kappel, F. Approximation of LQR-problems for delay systems: a survey. 92j:49001 

(Kolmanovskii, V. B.) see Brokate, Martin, 92m:49002 

(Koroleva, N. 1.) see Brokate, Martin, 92m:49002 

Kovalevskii, V. B. see Panasyuk, V. I.; et al., 92e:49002 

Milyutin, A. A. see Afanas’ev, A. P.; et al., 92i:49001 

Moskalenko, A. 1. see Baturin, V. A.; et al., 92k:49004 

Panasyuk, V. I. (with Kovalevskii, V. B.; Polityko, E. D.) * Ontrumasbuoe ynpaBsenne B 
TeXHH¥eCKHX CucTeMax. (Russian) [Optimal control in engineering systems] 92¢:49002 

Polityko, E. D. see Panasyuk, V. 1,; et al., 92e:49002 

Struwe, Michael * Variational methods. 92b:49002 

Teo, Kok Lay (with Goh, C. J.; Wong, K. H.) * A unified computational approach to 
optimal control problems. 92m:49003 

Tiba, Dan * Optimal control of nonsmooth distributed parameter systems. 92a:49001 

Whittle, Peter * Risk-sensitive optimal control. 92¢:49001 

Wong, K. H. see Teo, Kok Lay; et al., 92m:49003 


Items with secondary classifications in 49-02 


Gorokhovik, V. V. * Biinyxubie 4 HermayKue 3afa4H BeKTOpHOK OnTHMH3alMH. (Russian) 
[Convex and nonsmooth problems of vector optimization] 92g:90004 

Guddat, J. (with Guerra, Francisco; Jongen, Hubertus Th.) * Parametric optimization: 
singularities, pathfollowing and jumps. 92d:90001 

Guerra, Francisco see Guddat, J.; et al., 92d:90001 

Jongen, Hubertus Th. see Guddat, J.; et al., 92d:90001 

Lasiecka, Irena (with Triggiani, Roberto) * Differential and algebraic Riccati equations 
with application to boundary/point control problems: continuous theory and approxima- 
tion theory. 92k:93009 

Mannikké, Timo * Convex and nonconvex duality in optimal control. 92d:49071 

Triggiani, Roberto see Lasiecka, Irena, 92k:93009 


49-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 49-03 

Bemelmans, Josef (with Hildebrandt, Stefan; von Wahl, Wolf) Partielle Differentialgle- 
ichungen und Variationsrechnung. [Partial differential equations and calculus of varia- 
tions] 92e:01050 

Costabel, Pierre Lagrange et l’art analytique. [Lagrange and the art of analysis] 92j:01058 

Finn, Robert Capillary surfaces: a partly historical survey. 92¢:01002 

Fomenko, A. T. * The Plateau problem. Part I. 92e:01003 

Hildebrandt, Stefan see Bemelmans, Josef; et al., 92e:01050 

(Lagrange, Joseph Louis) see Costabel, Pierre, 92j:01058 

Petrov, Yu. P. From the history of the calculus of variations and the theory of optimal 
processes. (Russian) 92g:01006 

von Wahl, Wolf see Bemelmans, Josef; et al., 92e:01050 


49-06 Proceedings, conferences, collections, etc. 


(Barbu, Viorel) see Differential equations and control theory, 92m:49004 

(Mréz, Z.) see Optimal design and control of structures, 92b:49003 

(Sokotowski, Jan) see Optimal design and control of structures, 92b:49003 
(Vasil’ev, V. V.) see Problems in optimal control and operations research, 92i:49002 


Items listed otherwise than by author 


Conference: 
Differential Equations and Control Theory * Differential equations and control theory. 
92m:49004 
Differential equations and control theory * Differential equations and control theory. 
92m:49004 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


Iasi * Differential equations and control theory. 92m:49004 
Jabionna * Optimal design and control of structures. 92b:49003 
Optimal design and control of structures * Optimal design and control of structures. 
92b:49003 
Problems in optimal control and operations research * Bonpocbi onTHMaNbHOrO ynpaBleHHa 
H HCCIeqOBaHHA OnepauHh. (Russian) [Problems in optimal control and operations 
research] 92i:49002 
Symposium: 
Optimal Design and Control of Structures * Optimal design and control of structures. 
92b:49003 
Variational Problems and Related Topics * Henbun mondai to sono shuhen. [Variational 
problems and related topics] 92b:49004 
Variational problems and related topics * Henbun mondai to sono shuhen. [Variational 
problems and related topics] 92b:49004 


Items with secondary classifications in 49-06 

(Baillon, Jean-Bernard) see Fixed point theory and applications, 92b:00040 

(Bowers, Kenneth L.) see Computation and control, 92g:93006 

(Desch, Wolfgang) see Estimation and control of distributed parameter systems, 92m:93001 

(Di Masi, Giovanni B.) see Modeling, estimation and control of systems with uncertainty, 
92d:93005 

(Eiselt, Horst A.) see Advances in optimization and control, 92c:90002 

(Field, David A.) see Theoretical aspects of industrial design, 92m:00060 

(Gombani, Andrea) see Modeling, estimation and control of systems with uncertainty, 
92d:93005 

(Kappel, F.) see Estimation and control of distributed parameter systems, 92m:93001 

(Komkov, Vadim) see Theoretical aspects of industrial design, 92m:00060 

(Kunisch, Karl) see Estimation and control of distributed parameter systems, 92m:93001 

(Kurzhanskii, A. B.) see Dynamical systems, 92b:00038 and Modeling, estimation and 
control of systems with uncertainty, 924:93005 

(Land, John R.) see Computation and control, 92g:93006 

Mazurov, V1. D. * Metox KoMHTeTOB B 3a{a4aX ONTHMH3alHH A KNaccuuxanun. (Russian) 
[The committee method in optimization and classification problems] 92g:90006 

(Neittaanmaki, Pekka) see Numerical methods for free boundary problems, 92b:65009 

(Pederzoli, Giorgio) see Advances in optimization and control, 92c:90002 

(Sebastian, H.-J.) see System modelling and optimization, 92i:93007 

(Sigmund, Karl) see Dynamical systems, 92b:00038 

(Tammer, Klaus) see System modelling and optimization, 92i:93007 

(Théra, Michel) see Fixed point theory and applications, 92b:00040 


Items listed otherwise than by author 


Advances in optimization and control * Advances in optimization and control. 92c:90002 
Bozeman, MT * Computation and control. II. 92g:93006 
Computation and control * Computation and control. II. 92g:93006 
Conference: 
Computation and Control * Computation and control. II. 92g:93006 
Control and Estimation of Distributed Parameter Systems * Estimation and control of 
distributed parameter systems. 92m:93001 
Fixed Point Theory and Applications * Fixed point theory and applications. 92b:00040 
Industrial Design Theory * Theoretical aspects of industrial design. 92m:00060 
Modeling and Control of Uncertain Systems * Modeling, estimation and control of 
systems with uncertainty. 92d:93005 
Numerical Methods for Free Boundary Problems * Numerical methods for free boundary 
problems. 92b:65009 
Optimization Days * Advances in optimization and control. 92¢:90002 
Dynamical systems * Dynamical systems. 92b:00038 
Estimation and control of distributed parameter systems * Estimation and control of 
distributed parameter systems. 92m:93001 
Fixed point theory and applications * Fixed point theory and applications. 92b:00040 
IFIP Conference: 
System Modelling and Optimization * System modelling and optimization. 92i:93007 
Jyvaskyla * Numerical methods for free boundary problems. 92b:65009 
Lecture Notes in Control and Information Sciences * System modelling and optimization. 
92i:93007 
Lecture Notes in Economics and Mathematical Systems * Dynamical systems. 92b:00038 
— * Advances in optimization and control. 92c:90002 
Leipzig * System modelling and optimization. 92i:93007 
Marseille * Fixed point theory and applications. 92b:00040 
Modeling, estimation and control of systems with uncertainty * Modeling, estimation and 
control of systems with uncertainty. 924:93005 
Montreal, PQ * Advances in optimization and control. 92c:90002 
Numerical methods for free boundary problems * Numerical methods for free boundary 
problems. 92b:65009 
Seminar: 
Optimization Theory * Seminar on Optimization Theory. 92d:00020 
Sopron * Dynamical systems. 92b:00038 
— * Modeling, estimation and control of systems with uncertainty. 92d4:93005 
System modelling and optimization * System modelling and optimization. 92i:93007 
Theoretical aspects of industrial design * Theoretical aspects of industrial design. 
92m:00060 
Vorau * Estimation and control of distributed parameter systems. 92m:93001 
Workshop: 
Mathematics of Dynamic Processes * Dynamical systems. 92b:00038 
Wright-Patterson Air Force Base, OH * Theoretical aspects of industrial design. 
92m:00060 


49Jxx Existence theory for optimal solutions 





49305 


49J05 Free problems in one independent variable 


Botteron, Bernard (with Marcellini, Paolo) A general approach to the existence of 
minimizers of one-dimensional noncoercive integrals of the calculus of variations. 
(French summary) 92c:49002 

Brandon, Deborah (with Rogers, Robert C.) Nonlocal regularization of L. C. Young’s 
tacking problem. 92k:49005 

Caligaris, Ottavio On the characterization of the range of an integral functional. 92e:49003 

Hoskins, J. A. (with Hoskins, W. D.; Stanton, Ralph Gordon) The cardioid and a variation 
of the brachistochrone problem. 

Hoskins, W. D. see Hoskins, J. A.; et al. 

Marcellini, Paolo see Botteron, Bernard, 92c:49002 

Mizel, Victor J. Developments in 1-dimensional calculus of variations affecting continuum 
mechanics. 92¢:49003 

Rogers, Robert C. see Brandon, Deborah, 92k:49005 

Stanton, Ralph Gordon see Hoskins, J. A.; et al. 


Items with secondary classifications in 49J05 


Heil, Erhard Convex minimizers of variational problems. 92f:49014 

Marcelli, Cristina (with Salvadori, Anna) A result on equiabsolute integrability. (Italian 
summary) 924:49084 

Salvadori, Anna see Marcelli, Cristina, 924:49084 


49J10 Free problems in two or more independent variables 


Botteron, Bernard (with Dacorogna, Bernard) Existence of solutions for a variational 
problem associated to models in optimal foraging theory. 92b:49005 

Burton, G. R. (with McLeod, J. B.) Maximisation and minimisation on classes of 
rearrangements. 92k:49006 

Buttazzo, Giuseppe (with Tomarelli, Franco) Compatibility conditions for nonlinear 
Neumann problems. 92i:49003 

Caligaris, Ottavio Existence theorems for integral functionals with infinite valued 
integrands. (Italian summary) 92¢:49004 

— (with Oliva, P.) An existence theorem by means of regularization. 92k:49007 

Cesari, Lamberto Existence of BV absolute discontinuous minima for modified multiple 
integrals of the calculus of variations. 92d:49002 

Dacorogna, Bernard see Botteron, Bernard, 92b:49005 

De Giorgi, Ennio Free discontinuity problems in calculus of variations. 92i:49004 

Dibos, Francoise (with Koepfler, Georges) Propriété de régularité des contours d’une image 
segmentée. (English summary) [Regularity property of the boundaries of a segmented 
image] 92i:49005 

Fusco, Nicola (with Sbordone, Carlo) Higher integrability of the gradient of minima of 
certain functionals. (Italian summary) 

Koepfler, Georges see Dibos, Francoise, 92i:49005 

Kuliev, R. M. see Niftiev, A. A., 92b:49007 

Marino, Antonio (with Tosques, M.) Some variational problems with lack of convexity and 
some partial differential inequalities. 92b:49006 

Mascolo, E. Existence results for a class of noncoercive polyconvex integrals. (Italian 
summary) 92e:49005 

McLeod, J. B. see Burton, G. R., 92k:49006 

Niftiev, A. A. (with Kuliev, R. M.) Existence of a solution to a nonconvex problem of the 
calculus of variations. (Russian) 92b:49007 

Oliva, P. see Caligaris, Ottavio, 92k:49007 

Percivale, Danilo A remark on relaxation of integral functionals. 92i:49006 

Saccon, Claudio On an evolution problem with free boundary. 92f:49001 

Sbordone, Carlo see Fusco, Nicola 

Strugov, Yu. F. Semicontinuity of some functionals. (Russian) 92h:49001 

Tomarelli, Franco see Buttazzo, Giuseppe, 92i1:49003 

Tosques, M. see Marino, Antonio, 92b:49006 

Xu, Chao Jiang Subelliptic variational problems. (French summary) 92b:49008 


Items with secondary classifications in 49J10 

Aviles, Patricio (with Giga, Yoshikazu) Variational integrals on mappings of bounded 
variation and their lower semicontinuity. 924:49019 

Camino, Eduardo (with Rojo, Oscar) A sufficient condition for the differentiable optimal 
solution for a problem of Bellman. 92m:49043 

Carbone, Luciano (with De Arcangelis, Riccardo) Further results on I-convergence and 
lower semicontinuity of integral functionals depending on vector-valued functions. 
92i:49023 

De Arcangelis, Riccardo see Carbone, Luciano, 92i:49023 

Gavioli, Andrea Approximation from the exterior of a multifunction and its applications in 
the “sweeping process”. 92h:34038 

Giga, Yoshikazu see Aviles, Patricio, 92d:49019 

Giusti, Enrico Direct methods in the calculus of variations. (see 92h:00023) 

Pallara, Diego On the lower semicontinuity of certain integral functionals. (Italian 
summary) 92k:49024 

Rojo, Oscar see Camino, Eduardo, 92m:49043 

Tartar, Luc Memory effects and homogenization. 92h:35019 


49J15 Optimal control problems involving ordinary differential 
equations 


Dajovi¢, Slobodan Existence theorems in quasilinear optimal control problems. 92k:49008 

Goebel, Manfred (with Raitums, Uldis) Optimal control of two-point boundary value 
problems. (see 92i:93007) 

Raitums, Uldis see Goebel, Manfred, (92i:93007) 

Raymond, Jean-Pierre Existence theorems in optimal control problems without convexity 
assumptions. 92¢:49006 

Vernicescu, Neculae An existence theorem of optimal controls. (see 92m:00032) 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


Items with secondary classifications in 49J15 

Antonik, V.G. see Srochko, V. A., 92m:49050 

Bhakta, P.C. Optimization of functionals and application to differential equations. (see 
92:00027) 

Borisov, V. F. see Zelikin, M. I., 92j:49023 

Caligaris, Ottavio On the characterization of the range of an integral functional. 92¢:49003 

Chumakov, V. V. Determination and properties of optimal controls of a coordinated 
hierarchical system in the presence of noncontrollable actions. (Russian) 92a:93006 

Dazord, Pierre Sur la géométrie des asservissements. (English summary) [On the geometry 
of control mechanisms] 92m:58122 

Elliott, Robert James (with Kohlmann, Michael; Macki, Jack W.) A proof of the minimum 
principle using flows. 92¢:49031 

Fashoro, M. (with Hajek, Otomar; Loparo, Kenneth A.) Reachability properties of 
constrained linear systems. 92j:93012 

Hajek, Otomar see Fashoro, M.; et al., 92j:93012 

Hermes, Henry Nilpotent and high-order approximations of vector field systems. 92¢e:93006 

Highfill, Jannett (with McAsey, Michael) An optimal control problem in economics. 
92g:90048 

Khrustalev, M. M. Estimates, exact description of reachable sets and global properties of 
dynamic systems. (see 92i:34003) 

Klamka, Jerzy * Controllability of dynamical systems. 92k:93007 

Kohlimann, Michael see Elliott, Robert James; et al., 92e:49031 

Korobov, V. I. (with Sklyar,G.M.) The Markov moment min-problem and time optimality. 
(Russian) 92¢:49026 

Lasserre, Jean B. Reachable and controllable sets for two-dimensional, linear, discrete-time 
systems. 92k:93017 

Leparo, Kenneth A. see Fashoro, M.; et al., 92j:93012 

Lupsa, Liana Linear integer inequalities and theorems of the alternative. 92g:90105 

Macki, Jack W. see Elliott, Robert James; et al., 92e:49031 

McAsey, Michael see Highfill, Jannett, 92g:90048 

Mezentsev, A. V. (with Nikol/skii, M. S.) A problem on the control of composite systems 
with a fixed termination time. (Russian) 92d:49033 

Mond, B. see Weir, T., 92e:90068 

Nikol’skii, M.S. see Mezentsev, A. V., 92d:49033 

Riickmann, Jan see Tammer, Klaus, (92i:93007) 

Silin, D. B. A generic property of convex sets. (Russian) 92f:52012 

Sklyar, G. M. see Korobov, V. I., 92¢:49026 

Srochko, V. A. (with Antonik, V.G.) Optimization of control variation procedure in 
methods of linearization. 92m:49050 

Tammer, Klaus (with Riickmann, Jan) Relations between the Karush-Kuhn-Tucker points 
of a nonlinear optimization problem and of a generalized Lagrange dual problem. (see 
92i:93007) 

Tonolo, Alberto On global controllability of linear time dependent control systems. (Italian 
summary) 92a:93025 

Tret'yak, A. I. Necessary conditions for optimality of even order in a time-optimality 
problem for a class of control systems. (Russian) 92g:49018 

Vakhrameev, S. A. The Lyusternik-Shnirel’man theory for transversally convex subsets of 
Hilbert manifolds and its application in optimal control theory. (Russian) 92k:58048 

Vashkov, I.O. Time-optimality problems for distant targets. (Russian) 92a:49044 

Wanka, G. Duality in vectorial control approximation problems with inequality restrictions. 
92:90049 

Weir, T. (with Mond, B.) Multiple objective programming duality without a constraint 
qualification. 92¢:90068 

Wyderka, Zdzistaw On multivalued version of the Darboux theorem with applications in 
optimal control theory. 924:26008 

Yakubovich, V. A. A linear-quadratic problem of optimization and the frequency theorem 
for periodic systems. II. (Russian) 92d:49070 

Zeidan, Vera (with Zezza, Pier Luigi) Coupled points in optimal control theory. 92k:49040 

Zelikin, M.1. (with Borisov, V. F.) Regimes of frequent switchings in optimal control 
problems. (Russian) 92j:49023 

Zezza, Pier Luigi see Zeidan, Vera, 92k:49040 


49J20 Optimal control problems involving partial differential 
equations 


Brokate, Martin Optimal control of the semilinear wave equation with hysteresis. 
92d:49003 

Dokuchaev, N. G. Solvability of equations that are analogues of Bellman equations in 
a problem of the control of diffusion processes with integral constraints and with 
incomplete feedback. (Russian) 924:49004 

Geoffard, Pierre-Yves Utilité récursive: existence d’un chemin optimal de consommation. 
(English summary) [Implicit recursive utility: existence of an optimal consumption path] 
92a:49002 

Kamyad, A. V. (with Rubio, J. E.; Wilson, D. A.) Optimal control of the multidimensional 
diffusion equation. 924:49005 

Lions, Jacques-Louis Nonlinear sentinels for distributed systems. (Russian) 92a:49003 

Nowakowski, Andrzej (with Rogowski, Andrzej) Periodic solutions for a class of nonlinear 
hyperbolic equations. 92i:49007 

Papageorgiou, Nikolaos S. Existence of optimal controls for a class of nonlinear distributed 
parameter systems. 92a:49004 

— An existence theorem for a class of nonlinear elliptic optimal control problems. 92j:49002 

Pawiow, Irena Optimal control of dynamical processes in two-phase systems of solid-liquid 
type. 92g:49002 

(Petrushko, I. M.) see Lions, Jacques-Louis, 92a:49003 

Rogowski, Andrzej see Nowakowski, Andrzej, 92i:49007 

Rubio, J. E. see Kamyad, A. V.; et al., 92d:49005 

Wilson, D. A. see Kamyad, A. V.; et al., 92d:49005 





825 1992 


Items with secondary classifications in 49320 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Variational stability of infinite- 
dimensional optimal control problems. 92a:49017 

(Barbu, Viorel) see Differential equations and control theory, 92m:49004 

Belfekih, A. (with El Jai, A.) Exacte Glabilité et dle optimal des systemes 
paraboliques. (English summary) [Exact controllability and optimal control of parabolic 
systems] 92c:93012 

Bermiidez de Castro, Alfredo (with Martinez, Aurea; Rodriguez, Carmen) Un probléme de 
contréle ponctuel lié 4 l’°emplacement optimal d’émissaires d’évacuation sous-marins. 
(English summary) [A pointwise control problem related to the optimal design of a 
wastewater outfall] 92h:49044 

Byrnes, Christopher I. Some partial differential equations arising in nonlinear control and 
optimization. 92j:93061 

Cesari, Lamberto Existence of discontinuous absolute minima for certain multiple integrals 
without growth properties. (Italian summary) 92m:49017 

Diaz Diaz, Jestis Ildefonso Sur la contrélabilité approchée des inéquations variationnelles et 
d’autres problémes paraboliques non linéaires. (English summary) [On the approximate 
controllability of variational inequalities and other nonlinear parabolic problems] 
922:49014 

El Jai, A. see Belfekih, A., 92c:93012 

Filinovskii, A. V. see Muravei, L. A., 92k:35119 

Haslinger, Jaroslav (with Horak, Vaclav; Neittaanmaki, Pekka; Salmenjoki, Kimmo) 
Identification of critical curves. II. Discretization and numerical realization. 92i:65166 

Horak, Vaclav see Haslinger, Jaroslav; et al., 92i:65166 

Kernévez, J.-P. see Luce, R., (92d:93004) 

Liu, Wen Bin (with Rubio, J. E.) Local convergences and optimal shape design. 92k:49023 

Luce, R. (with Kernévez, J.-P.) Numerical resolution of ill posed problems. (see 92d:93004) 

Martinez, Aurea see Bermudez de Castro, Alfredo; et al., 92h:49044 

Mascolo, E. Existence results for a class of noncoercive polyconvex integrals. (Italian 
summary) 92e:49005 

Mazure, M.-L. Equations de convolution et formes quadratiques. (English summary) 
[Convolution equations and quadratic forms] 92k:47144 

Muravei, L. A. (with Filinovskii, A. V.) A problem with a nonlocal boundary condition for 
a parabolic equation. (Russian) 92k:35119 

Neittaanmaki, Pekka see Haslinger, Jaroslav; et al., 92i1:65166 

Papageorgiou, Nikolaos S. Existence of monotone, y-minimal solutions of differential 
inclusions. 92h:34039 

— see also Avgerinos, Evgenios P., 92a:49017 

Plotnikov, A. V. Compactness of the attainability set of a controllable differential inclusion 
in partial derivatives. (Russian) 92b:49013 

Rodriguez, Carmen see Bermudez de Castro, Alfredo; et al., 92h:49044 

Rubio, J. E. see Liu, Wen Bin, 92k:49023 

Salmenjoki, Kimmo see Haslinger, Jaroslav; et al., 92i1:65166 

Shklyar, B. Sh. On the controllability of linear systems with distributed parameters. 
(Russian) 92g:93017 

Showalter, R. E. (with Walkington, Noel J.) A hyperbolic Stefan problem. 92h:35244 

Walkington, Noel J. see Showalter, R. E., 92h:35244 

Yong, Jiong Min Optimal controls for distributed parameter systems with mixed con- 
straints. 92b:49041 

You, Yun Cheng Nonlinear optimal control and synthesis of thermal nuclear reactors. 
92b:49071 

Zhu, Hang Convex duality and generalized solutions in optimal control problem for stopped 
processes: the deterministic model. 92k:49074 





Items listed otherwise than by author 
Conference: 
Differential Equations and Control Theory * Differential equations and control theory. 
92m:49004 
Differential equations and control theory * Differential equations and control theory. 
92m:49004 
Iasi * Differential equations and control theory. 92m:49004 


49J24 Optimal control problems involving differential inclusions 


Aubin, Jean-Pierre (with Frankowska, Halina) A viability approach to Ljapunov’s second 
method. (see 92b:00038) 

Flytzanis, Elias (with Papageorgiou, Nikolaos S.) On the existence of optimal controls for a 
class of nonlinear infinite-dimensional systems. 92c:49004 

Frankowska, Halina see Aubin, Jean-Pierre, (92b:00038) 

Guseinov, Kh. G. (with Ushakov, V.N.) Differential properties of integral funnels and 
stable bridges. (Russian) 92d:49006 

Kfivan, Vlastimil Perturbation of viability problem. 92a:49005 

Makhmudov, £. N. A two-parameter optimal control problem for systems of discrete 
inclusions. (Russian) 92a:49006 

Maruyama, Toru A variational problem governed by a multi-valued differential equation in 
a separable Hilbert space. 92b:49009 

Minchenko, L. I. Optimal trajectories of differential inclusions in a problem with con- 
straints on the ends of the trajectories. (Russian) 92b:49010 

— On the extremality of trajectories of differential inclusions with phase constraints. 
(Russian) 92¢:49007 

Olech, Czeslaw The Lyapunov theorem: its extensions and applications. 92b:49011 

Papageorgiou, Nikolaos S. On the trajectories of controlled evolution inclusions. 924:49007 

— Optimal control of nonlinear evolution inclusions. 92b:49012 

— Nonlinear Volterra integrodifferential evolution inclusions and optimal control. 
92k:49009 

— On the optimal control and relaxation of finite-dimensional systems driven by maximal 
monotone differential inclusions. (Russian summary) 92i:49008 

— see also Flytzanis, Elias, 92c:49004 

Plotnikov, A. V. Compactness of the attainability set of a controllable differential inclusion 
in partial derivatives. (Russian) 92b:49013 


49J Existence theory for optimal solutions 


Quincampoix, Marc Target problems and viability kernels. 92h:49002 

— Differential inclusions and target problems. (French summary) 92k:49010 

Tallés, Péter Viability problems for nonautonomous differential inclusions. 92b:49014 
Ushakov, V.N. see Guseinov, Kh. G., 92d:49006 


Items with secondary classifications in 49J24 

Artstein, Zvi Extensions of Lipschitz selections and an application to differential inclusions. 
92d:34030 

Aubin, Jean-Pierre * Viability theory. 92k:49003 

— (with Frankowska, Halina) Systémes hyperboliques d’inclusions aux dérivées partielles. 
(English summary) [Hyperbolic systems of partial differential inclusions] 92a:35171 

Bressan, A., Jr. Selections of Lipschitz multifunctions generating a continuous flow. 
92h:34036 

Butkovskii, A. G. * Phase portraits of control dynamical systems. 92j:93003 

Cellina, Arrigo (with Staicu, Vasile) Well posedness for differential inclusions on closed 
sets. 92:34012 

Davideanu, Catalina The study of a class of multivoc differential equations. (Romanian 
summary) 92d:34031 

De Blasi, F.S. (with Pianigiani, G.) Non-convex-valued differential inclusions in Banach 
spaces. 92h:34037 

Erbe, Lynn H. (with Krawcewicz, W.) Boundary value problems for differential inclusions. 
92¢:34015 

Fattorini, H.O. Relaxed controls in infinite-dimensional systems. 92m:49006 

Filippova, T. F. Connectivity of the information set of an observable system. (Russian) 
92b:93016 

Frankowska, Halina (with Quincampoix, Marc) Viability kernels of differential inclusions 
with constraints: algorithm and applications. 92m:34041 

— see also Aubin, Jean-Pierre, 92a:35171 

Frigon, Marléne Problémes aux limites pour des inclusions différentielles sans condition de 
croissance. (English summary) [Boundary value probl for diff ial inclusions with 
no growth condition] 92k:34016 

Gavioli, Andrea Approximation from the exterior of a multifunction and its applications in 
the “sweeping process”. 92h:34038 

Goncharov, V. V. (with Tolstonogov, A. A.) Continuous selectors and properties of 
solutions of differential inclusions with m-accretive operators. (Russian) 92h:34122 

— Existence of solutions of a class of differential inclusions on a compact set. (Russian) 
92¢e:34020 

— (with Tolstonogov, A. A.) Common continuous selections of multivalued mappings with 
nonconvex values, and their applications. (Russian) 92k:47099 

Guseinov, Kh. G. (with Ushakov, V. N.) Strongly and weakly invariant sets with respect to 
a differential inclusion, their derivatives and application to control problems. (Russian) 
92b:34029 

— Strongly invariant sets and periodic solutions of a differential inclusion. (Russian) 
92¢:34016 

K4nnai, Zoltan (with Tallés, Péter) Viable trajectories of nonconvex differential inclusions. 
92m:34044 

Khoang Zyong Tuan A theorem on the continuous parameter dependence of the solution 
set of differential inclusions in a Banach space with closed right-hand side. (Russian. 
Ukrainian summary) 92m:34045 

Komarov, V. A. Necessary and sufficient conditions for optimality in a time-optimality 
problem with phase constraints. (Russian) 92b:49042 

Krawvaritis, Dimitrios (with Papageorgiou, Nikolaos S.) An existence theorem for an 
optimal economic growth problem with infinite planning horizon. 92f:90015 

— (with Papageorgiou, Nikolaos S.) A boundary value problem for a class of evolution 
inclusions. 92e:47116 

Krawcewicz, W. see Erbe, Lynn H., 92c:34015 

Kfivan, Vlastimil (with Vrkot, Ivo) Absolutely continuous selections from absolutely 
continuous set valued map. 92d:28005 

Martos, B. Viable control trajectories in linear systems. (Russian summary) 92i:93015 

Nguyén-Dinh Huy Existence of solutions for a class of differential inclusions with memory. 
92e:34022 

Ornelas, A. Approximation of relaxed solutions for lower semicontinuous differential 
inclusions. 92m:28018 

Papageorgiou, Nikolaos S. Sensitivity analysis of evolution inclusions and its applications to 
the variational stability of optimal control problems. 92m:49046 

— see also Krawaritis, Dimitrios, 92e:47116 and 92f:90015 

Pianigiani, G. see De Blasi, F. S., 92h:34037 

Quincampoix, Marc see Frankowska, Halina, 92m:34041 

Saint-Pierre, Patrick Viability of boundary of the viability kernel. 92h:34041 

Smirnov, G. V. * Cna6aa acamnToTH4eckasd yCTOMYHBOCTS LHepeHMaIbHBIX BKIOYCHAA 
no nepsomy npx6nuxexun. (Russian) [Weak asymptotic stability of differential inclusions 
according to the first approximation] 92h:34099 

Staicu, Vasile (with Wu, He) Arcwise connectedness of solution sets to Lipschitzean 
differential inclusions. (Italian summary) 92i:34017 

— see also Cellina, Arrigo, 92f:34012 

Tallés, Péter see Kannai, Zoltan, 92m:34044 

Teodoru, Georgeta Absolutely continuous solutions of Cauchy problem for a multi-valued 
hyperbolic equation. (Romanian summary) 92c¢:35133 

Tolstonogov, A. A. see Goncharov, V. V., 92h:34122 and 92k:47099 

Ushakov, V. N. see Guseinov, Kh. G., 92b:34029 

Vrkot, Ivo see Krivan, Viastimil, 92d:28005 

Wa, He see Staicu, Vasile, 92i:34017 

Zhu, Qi Ji On the solution set of differential inclusions in Banach space. 92h:34042 








49325 Optimal control problems involving equations with 
retarded arguments [see also 34K35] 


Debitiska-Nagérska, Anna Approximation d’un probléme de contréle optimal de systéme 
a paramétres distribués avec retard. (English, Russian and Polish summaries) [Approx- 





49325 


imation of an optimal control problem for a distributed-parameter system with delay] 
92i:49009 

Kisielewicz, Michal Existence of optimal trajectory of Mayer problem for neutral 
functional-differential inclusions. (see 92b:90012) 

Pimenov, V.G. On the existence of generalized optimal controls in systems with delay in the 
control. (Russian) 92k:49011 

Subbotin, A. I. Existence and uniqueness results for Hamilton-Jacobi equations. 92¢:49008 


Items with secondary classifications in 49J25 


Chukwa, E. N. Nonlinear delay systems controllability. 92j:93014 

Kharatishvili, G. L. (with Tadumadze, T. A.) Regular perturbations in optimal control 
problems with variable delays and free right end. (Russian) 92h:49024 

Klamka, Jerzy * Controllability of dynamical systems. 92k:93007 

Tadumadze, T. A. see Kharatishvili, G. L., 92h:49024 

You, Yun Cheng Quadratic differential game of general linear delay systems. 92¢:90144 


49J27 Problems in abstract spaces [see 90C48] 


Attouch, Hédy (with Riahi, Hassan) Stability results for Ekeland’s e-variational principle 
and cone extremal solutions. (French summary) 92k:49012 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) On the sensitivity and relaxability 
of optimal control problems governed by nonlinear evolution equations with state 
constraints. 92h:49003 

Carriero, Michele (with Leaci, Antonio) S*-valued maps minimizing the L?-norm of the 
gradient with free discontinuities. 92m:49005 

Fattorini, H.O. Relaxed controls in infinite-dimensional systems. 92m:49006 

Flytzanis, Elias (with Papageorgiou, Nikolaos S.) On the existence of optimal controls for a 
class of nonlinear infinite-dimensional systems. 92m:49007 

Ganesh, M. (with Joshi, Mohan C.) Optimality of nonlinear control systems. 92a:49007 

Golichev, I. I. The method of a function of an operator, and iterative processes in some 
optimal control problems. (Russian) 92i:49010 

Hou, S. H. Existence of solutions for a class of nonlinear control problems. 924:49008 

Joshi, Mohan C. see Ganesh, M., 92a:49007 

Leaci, Antonio see Carriero, Michele, 92m:49005 


Ling, Yong Yong An extremum theory of the residual functional in Sobolev spaces W™?(Q). 


(Chinese. English summary) 

Liskovets,O. A. Discrete regularization of optimal control problems on ill-posed monotone 
variational inequalities. (Russian) 92b:49015 

Lojasiewicz, Stanistaw, Jr. Parametrizations of convex sets. 92j:49003 

Melnik, V.S. Extremal problems for operator-differential systems. (Russian) 92g:49003 

Mirica, Ion see Mirica, Stefan, 92g:49004 

Mirica, Stefan (with Mirica, lon) Distinct types of intrinsic tangent cones to arbitrary 
subsets of Euclidian spaces. 92¢:49004 

Papageorgiou, Nikolaos S. A minimax optimal control problem for evolution inclusions. 
92k:49013 

— see also Avgerinos, Evgenios P., 92h:49003 and Flytzanis, Elias, 92m:49007 

Polonskii, Yu. A. Preference spaces. (Russian) 92h:49004 

Riahi, Hassan see Attouch, Hédy, 92k:49012 

Rolshchikov, V. E. Finite-dimensional approximation of an approximation gradient on a 
Hilbert space. (Russian) 92a:49008 

Sumin, V.I. Sufficient stability conditions for the existence of global solutions of control- 
lable boundary value problems. (Russian) 92¢:49009 

Szilagyi, Tivadar Existence and Lipschitzian dependence theorems in complete spaces. 
92m:49008 


Items with secondary classifications in 49J27 


Agrachév, A. A. see Gamkrelidze, R. V.; et al., 92b:58056 

Ahmed, N. U. * Semigroup theory with applications to systems and control. 92e:47069 

Averna, A. (with Cardinali, Tiziana) On the concepts of K-convexity [K-concavity] and K- 
convexity* [K-concavity*]. (Italian. English summary) 92h:26031 

Bottaro Aruffo, Ada Extensions of a theorem of de la Vallée-Poussin. (Italian. English 
summary) 92i:49022 

Cardinali, Tiziana see Averna, A., 92h:26031 

Chavent, Guy Quasi-convex sets and size x curvature condition, application to nonlinear 
inversion. 92i:49042 

Chentsov, A.G. Finitely additive measures and extensions of some nonlinear extremal 
problems with asymptotic constraints. (Russian. English summary) 92h:49050 

Chukwa, E.N. (with Lenhart, Suzanne M.) Controllability questions for nonlinear systems 
in abstract spaces. 92d:93022 

Flytzanis, Elias (with Papageorgiou, Nikolaos S.) On the existence of optimal controls for a 
class of nonlinear infinite-dimensional systems. 92¢:49004 

Gamkrelidze, R. V. (with Agrachév, A. A.; Vakhrameev, S. A.) Ordinary differential 
equations on vector bundles, and chronological calculus. (Russian) 92b:58056 

Granas, Andrzej Sur quelques méthodes topologiques en analyse convexe. [On some 
topological methods in convex analysis] 92¢:90076 

Kawohl, Bernhard (with Sweers, Guido) On quasiconvexity, rank-one convexity and 
symmetry. 92e:52013 

Lenhart, Suzanne M. see Chukwu, E. N., 924:93022 

Maruyama, Toru A variational problem governed by a multi-valued differential equation in 
a separable Hilbert space. 92b:49009 

Pankov, A. A. * Bounded and almost periodic solutions of nonlinear operator differential 
equations. 92f:35002 

Papageorgiou, Nikolaos S. On the trajectories of controlled evolution inclusions. 924:49007 

— Volterra integrodifferential inclusions in reflexive Banach spaces. 92i:34112 

— On the existence of weakly maximal programs for a multisector economy with consump- 
tion. 

— see also Flytzanis, Elias, 92¢:49004 

Papalini, Francesca The K-midpoint * convexity [concavity] and lower [upper] K- 
semicontinuity of a multifunction. (Italian. English summary) 92h:26032 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


1992 826 


Pimenov, V.G. On the existence of generalized optimal controls in systems with delay in the 
control. (Russian) 92k:49011 

Sweers, Guido see Kawohl, Bernhard, 92e:52013 

Takahashi, Wataru Existence theorems generalizing fixed point th 
mappings. (French summary) 92m:54078 

Théra, Michel Existence results for the nonlinear complementarity problem and applica- 
tions to nonlinear analysis. 92d:47085 

Tsar‘kov, I. G. Properties of sets that have a continuous selection from the operator P?. 
(Russian) 92¢:47085 

Vakhrameev, S. A. see Gamkrelidze, R. V.; et al., 92b:58056 

Wang, Yu Wen Some time optimal control problems in nonreflexive Banach spaces. 
924:49043 

Xu, Hong Kun Inequalities in Banach spaces with applications. 92e:47126 

You, Yun Cheng Quadratic differential game of general linear delay systems. 92¢:90144 

(Zayachkovskii, V.S.) see Pankov, A. A., 92f:35002 


for multivalued 





49330 Optimal solutions belonging to restricted classes 
(Lipschitz controls, bang-bang controls, etc.) 
Friedman, Avner Optimal control for free boundary problems. 92a:49009 


49J35 Minimax problems 


Barron, Emmanuel Nicholas The Pontryagin maximum principle for minimax problems of 
optimal control. 92b:49016 

Chen, Guang Ya A generalized section theorem and a minimax inequality for a vector- 
valued mapping. 92¢:49010 

Ferro, F. A minimax theorem for vector-valued functions. II. 92a:49010 

Gigola, Cristina (with Gomez, Susana) Relation between the regularization and the 
multipliers method for the min-max problem. 92d:49009 

— (with Gomez, Susana) Two second order regularization methods to solve the finite min- 
max problem. 924:49010 

Gémez, Susana _ see Gigola, Cristina, 92d:49009 and 924:49010 

Gwinner, Joachim (with Jeyakumar, Vaithilingam) Stable minimax on noncompact sets. 
(French summary) 92h:49005 

— see also Jeyakumar, Vaithilingam, 92¢:49011 

Jeyakumar, Vaithilingam (with Gwinner, Joachim) Inequality systems and optimization. 
92¢:49011 

— see also Gwinner, Joachim, 92h:49005 

Kenderov, P.S. (with Ribarska, N. K.) Generic uniqueness of the solution of “max min” 
problems. (see 92b:90012) 

Kuzin, I. A. A variational method for determining the critical points of a functional and its 
application. (Russian) 92f:49002 

Legut, Jerzy (with Wilczynski, Maciej) An application of minimax theorems to optimal 
partitioning of a measurable space. (French summary) 92h:49006 

Leung, Anthony W. (with Stojanovic, Srdjan) Direct methods for some distributed games. 
92a:49011 

Lin, Bor-Luh (with Quan, Xiu Chi) A two functions symmetric nonlinear minimax 
theorem. 92¢:49012 

— (with Quan, Xiu Chi) A noncompact topological minimax theorem. 92i:49011 

Monudafi, A. Sur les valeurs selles de fonctions convexes-concaves non nécessairement 
coercives. (English summary) [On the saddle values of not necessarily coercive convex- 
concave functions] 92¢:49013 

Nguyén Chan Constructive method for solving a linear minimax problem of optimal 
control. 92g:49005 

Novikova, N. M. Iterative regularization of the penalty method for an infinite-dimensional 
problem of the search for a saddle point. (Russian) 92m:49009 

Patkar, Vivek (with Stancu-Minasian, I. M.) A disjunctive linear fractional max-min 
problem. 924:49011 

Quan, Xiu Chi see Lin, Bor-Luh, 92e:49012 and 92i:49011 

Radzik, Tadeusz Saddle point theorems. 92h:49007 

Ribarska, N. K. see Kenderov, P. S., (92b:90012) 

Sebestyén, Zoltan A general saddle point theorem and its applications. 92¢:49014 

Simons, Stephen Another general minimax theorem. (French summary) 92k:49014 

— Minimax theorems with staircases. 92i:49012 

— An unreal generalization of Terkelsen’s minimax theorem. 92i:49013 

Stancu-Minasian, I. M. see Patkar, Vivek, 92d:49011 

Stojanovic, Srdjan see Leung, Anthony W., 92a:49011 

Tanaka, Tamaki Two types of minimax theorems for vector-valued functions. 92a:49012 

Wang, Jian Hua® A minimax theorem. (Chinese summary) 92i:49014 

Wilczytiski, Maciej see Legut, Jerzy, 92h:49006 

Items with secondary classifications in 49J35 

Bityutskikh, V.T. The maximin problem of distributing resources for attack and defense. 
II. (Russian) 

Brown, J. Randall Solving knapsack sharing problems with general tradeoff functions. 
92g:90136 

Chang, Hsiu Yi Separation and von Neumann intersection theorems. 92e:54049 

Deguire, Paul Quelques inégalités abstraites. (English summary) [Some abstract inequali- 
ties] 92h:47078 

Delfour, Michel C. (with Zolésio, Jean-Paul) Analyse des problémes de forme par la 
dérivation des minimax. [Analysis of shape problems by minimax differentiation] 
92e:49056 

Dinh Thé Luc (with Vargas-Jarillo, Cristébal) A saddlepoint theorem for set-valued maps. 
92m:47105 

D6 Van Lu’u Sufficient optimality conditions for discrete minimax probl 
of constraints in Banach spaces. 92¢:49020 

Grzybowski, A. Minimax control of a system with actuation errors. 92k:49050 

Gurvich, V. A. A saddle point in pure strategies. (Russian) 92d:90117 

Higgins, J. E. see Polak, Elijah; et al., 92d:90086 





in the p 





827 1992 


Lin, Bor-Luh (with Quan, Xiu Chi) A two functions nonlinear minimax theorem. (French 
summary) 92j:54023 

Liu, Féng Ché On a form of KKM principle and Sup Inf Sup inequalities of von Neumann 
and of Ky Fan type. 92b:47103 

Lozovanu, D. D. Algorithms for solving some classes of network minimax problems and 
their applications. (Russian. English and Ukrainian summaries) 92c:90118 

Ma, Li Applications harmoniques équivariantes 4 valeurs dans une variété lorentzienne. 
(English summary) [On equivariant harmonic maps into a Lorentz manifold] 92a:58036 

Mayne, David Q. see Polak, Elijah; et al., 92d:90086 

Meng, Zhi Qing The minimax problem for vector-valued functions. (Chinese. English 
summary) 92h:90108 

Perevozchikov, A. G. see Zavriev, S. K., 92b:90205 

Polak, Elijah (with Mayne, David Q.; Higgins, J. E.) Superlinearly convergent algorithm for 
min-max problems. 924:90086 

Quan, Xiu Chi see Lin, Bor-Luh, 92j:54023 

Vargas-Jarillo, Cristébal see-Dinh Thé Luc, 92m:47105 

Wang, Ti Xiang A minimax principle without differentiability. 92h:49016 

Weheba, Nabila A. Sensitivity analysis of min-max continuous static games. (Arabic 
summary) 92b:90243 

Zavriev, S. K. (with Perevozchikov, A.G.) A stochastic finite-difference algorithm for the 
minimization of a maximin function. (Russian) 92b:90205 

Zolésio, Jean-Paul see Delfour, Michel C., 92e:49056 


49J40 Variational methods including variational inequalities 


Bonnans, Joseph Frédéric (with Tiba, Dan) Pontryagin’s principle in the control of 
semilinear elliptic variational inequalities. 92a:49013 

Chambolle, Antonin Un théoréme de I’-convergence pour la segmentation des signaux. 
(English summary) [A I’-convergence theorem for signal segmentation] 92k:49015 

Chipot, Michel Uniqueness results for some variational inequalities with application to the 
Reynolds equation. 92i:49015 

Cubiotti, P. Finite-dimensional quasi-variational inequalities associated with discontinuous 
functions. 92k:49016 

De Luca, Marino Stability analysis for variational inequalities and applications to 
equilibrium problems. 92i:49016 

Diaz Diaz, Jestis Ildefonso Sur la contrdlabilité approchée des inéquations variationnelles et 
d’autres problémes paraboliques non linéaires. (English summary) [On the approximate 
controllability of variational inequalities and other nonlinear parabolic problems] 
92a:49014 

Ding, Xie Ping Quasi-variational inequalities and social equilibrium. (Chinese. English 
summary) 92i:49018 

— Browder-Hartman-Stampacchia variational inequalities for set-valued quasimonotone 
operators. (Chinese. English summary) 92i:49017 

— see also Lu, Hong Tao; et al., 92i:49019 

Guo, Shao Mu see Lei, Jin Gan; et al., 92k:49017 

Isac, G. A special variational inequality and the implicit complementarity problem. 
92b:49017 

Kang, Shi Kun see Zhang, Shi Sheng; et al., 92c:49005 

Khiudnev, A. M. On the convergence of solutions in problems of optimal control of 
variational inequality of the fourth order. 924:49012 

Kilpelainen, Tero (with Ziemer, William P.) Pointwise regularity of solutions to nonlinear 
double obstacle problems. 92g:49006 

Kuo, Chung Shéng A variational inequality associated with a lubrication problem. 
92a:49015 

Kyparisis, Jerzy Sensitivity analysis for variational inequalities and nonlinear complemen- 
tarity problems. 92b:49018 

— Parametric variational inequalities with multivalued solution sets. 92m:49010 

Lei, Jin Gan (with Guo, Shao Mu) Approximation of solutions to variational inequalities 
on the basis of weak convergence of sets. (Chinese) 92k:49017 

Lovisek, Jan Optimization of the thickness of layers of sandwich conical shells. 92b:49019 

Lu, Hong Tao (with Ding, Xie Ping) Some minimax inequalities and variational inequali- 
ties in topological spaces. (Chinese. English summary) 92i:49019 

Maksimov, V.1I. Dynamical identification of controls for parabolic variational inequalities. 
92m:49011 

Melnik, V.S. On extremal regularization and splitting of evolutional variational inequali- 
ties. (Russian. English summary) 92m:49012 

Miersemann, Erich (with Mittelmann, Hans D.) Stability and continuation of solutions to 
obstacle problems. 92g:49007 

Mirenghi, Elvira (with Salvatore, Addolorata) Periodic solutions of Lagrangian inclusions. 
92i:49020 

Mittelmann, Hans D. see Miersemann, Erich, 92g:49007 

Nanda, Sudarsan Strongly nonlinear variational inequality problem and its alternative form 
and complementarity problem. 924:49013 

Ndoutoume, James Louis Optimality conditions for control problems governed by 
variational inequalities. 92d:49014 

Noor, Muhammad Aslam General algorithm and sensitivity analysis for variational 
inequalities. 92k:49018 

Panagiotopoulos, P. D. Optimal control of systems governed by hemivariational inequali- 
ties. Necessary conditions. 924:49015 

— Coercive hemivariational inequalities and applications. (Italian summary) 924:49016 

Papageorgiou, Nikolaos S. Weak convergence of random sets in Banach spaces. 92m:49013 

Pavienko, V. N. Semiregular solutions of elliptic variational inequalities with discontinuous 
nonlinearities. (Russian. Ukrainian summary) 924:49017 

Pitonyak, A. (with Shi, Peter; Shillor, Meir) On an iterative method for variational 
inequalities. 92b:49020 

Salvadori, Anna Integral functionals convergence and connections with some variational 
inequalities. (Russian summary) 92d:49018 

Salvatore, Addolorata see Mirenghi, Elvira, 92i:49020 

Shi, Peter see Pitonyak, A.; et al., 92b:49020 

Shillor, Meir see Pitonyak, A.; et al., 92b:49020 


49J Existence theory for optimal solutions 


49340 


Sun, Min Nested variational inequalities and related optimal starting-stopping problems. 
92i:49021 

Tian, Guo Qiang (with Zhou, Jian-Xin) Quasi-variational inequalities with noncompact 
sets. 92h:49008 

Tiba, Dan see Bonnans, Joseph Frédéric, 92a:49013 

Wang, Jian Guo Generalized quasivariational inequalities and their selection mappings. 
(Chinese. English summary) 92a:49016 

Xiang, Shu Wen see Zhang, Shi Sheng; et al., 92c:49005 

Zhang, Shi Sheng (with Kang, Shi Kun; Xiang, Shu Wen) On a class of general nonlinear 
quasivariational inequalities. (Chinese. English summary) 92¢:49005 

Zhou, Jian-Xin see Tian, Guo Qiang, 92h:49008 

Zhou, Shu Zi Perturbation for elliptic variational inequalities. 92h:49009 

Ziemer, William P. see Kilpelainen, Tero, 92g:49006 


Items with secondary classifications in 49340 

Ahlbrandt, Calvin D. Variational inequalities. 92k:26039 

Al-Khayyal, Faiz A. (with Kyparisis, Jerzy) Finite convergence of algorithms for nonlinear 
programs and variational inequalities. 92e:90069 

Barbu, Viorel (with Friedman, Avner) Optimal design of domains with free-boundary 
problems. 92a:49073 

Ben-El-Mechaiekh, Hichem Note on a class of set-valued maps having continuous 
selections. (French summary) 92j:47106 

Bernardi, Marco Luigi (with Pozzi, Gianni Arrigo) On a class of singular nonlinear 
parabolic variational inequalities. (Italian summary) 92m:47136 

— (with Luterotti, Fabio; Pozzi, Gianni Arrigo) On a class of singular or degenerate 
hyperbolic variational inequalities. 92j:35130 

Bertoluzza, S. Discretization of parabolic inequalities. 92b:65059 

Boccardo, Lucio (with Giachetti, D.; Murat, Francois) A generalization of a theorem of H. 
Brézis & F. E. Browder and applications to some unilateral problems. (French and Italian 
summaries) 92¢:46037 

Bonnans, Joseph Frédéric (with Tiba, Dan) Optimality conditions in the control of 
semilinear elliptic variational inequalities. (see 92m:49004) 

Bose, Ramendra Krishna On a general nonlinear variational inequality. 92g:47099 

Bulgakov, A. I. Continuous selections of multivalued mappings, and functional-differential 
inclusions with a nonconvex right-hand side. (Russian) 92j:54025 

Carpio, L.G.T. see Gomes, L. F. A. M., 92i:90133 

Chan, Wai Leung see Zhao, Yi; et al., 92h:93025 

Chen, Bao Yao see Lou, Zhuo Ming; et al., 92k:35113 

(Chitra, A.) see Isac, G. 

Cocu, M. see Radoslovescu Capatina, Anca, 92¢:65088 

Crouzeix, Michel Variational approach of a magnetic shaping problem. 92i:78024 

Dafermos, Stella see Zhao, Lan, 92k:90021 

Dai, Yang (with van der Laan, Gerard; Talman, A. J. J.; Yamamoto, Yoshitsugu) 
simplicial algorithm for the nonlinear stationary point p on an unbounded 
polyhedron. 92f:90058 

Dinca, G. (with Matei, P.) On the regularity of the solutions of a climatization problem 
in the torsion of cylindrical rods in the Hencky-Nadai theory, using the Orlicz-Sobolev 
spaces. 92c¢:73030 

Ding, Xie Ping Iterative methods for solutions to generalized variational inequalities and 
complementarity problems. (Chinese. English summary) 92k:47129 

— Continuous selection theorem, coincidence theorem and intersection theorems concerning 
sets with H-convex sections. 92j:54026 

Du’o’ng Trong Nhan On coincidence theorems for set-valued mapping and variational 
inequalities. 92i:47063 

Finzi Vita, Stefano (with Tchou, Nicoletta Anna) Correctors results for relaxed Dirichlet 
problems. 92k:35038 

Friedman, Avner see Barbu, Viorel, 92a:49073 

Giachetti, D. see Boccardo, Lucio; et al., 92c:46037 

Giannoni, Fabio Multiplicity of solutions for elliptic inequalities in presence of symmetries. 
(Italian summary) 92b:35069 

Gilbert, R. P. (with Shi, Peter; Shillor, Meir) A quasi-static contact problem in linear 
thermoelasticity. (Italian summary) 92m:73109 

Gomes, L. F. A. M. (with Carpio, L.G. T.) A variational inequality approach to trip 
distribution games. 92i:90133 

Grossmann, Christian Penalties and mixed finite element analysis for variational inequali- 
ties. 924:49058 

Haslinger, Jaroslav (with Panagiotopoulos, P. D.) Optimal control of hemivariational 
inequalities. Approximation results. 92d:49059 

Héron, Bernard (with Mossino, Jacqueline; Picard, Colette) Homogénéisation de structures 
stratifiées avec faible et forte conductivités. (English summary) [Homogenization of 
stratified structures with low and high conductivities] 92m:35022 

Huang, Nan Jing see Zhang, Shi Sheng, 92m:47139 

Huang, Yu see Zhao, Yi; et al., 92h:93025 

loffe, Alexandre D. Variational analysis of a composite function: a formula for the lower 
second order epi-derivative. 92m:46061 

Isac, G. Remark on the paper of A. Chitra and P. V. Subrahmanyam about the section 
theorem of Ky Fan: “A generalization of a section theorem of Ky Fan and its applications 
to variational inequalities” [Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 17 
(1987), no. 1, 17-37; MR 89d:47120]. (Serbo-Croatian summary) 

Jaillet, Patrick (with Lamberton, Damien; Lapeyre, Bernard) Variational inequalities and 
the pricing of American options. 924:90013 

Katyshev, V. V. The second boundary value problem for a variational inequality for a 
hyperbolic operator with a constraint on the solution. (Russian) 92h:35147 

Kenmochi, Nobuyuki (with Koyama, Tetsuya) Nonlinear functional variational inequalities 
governed by time-dependent subdifferentials. 92j:47122 

Klarbring, Anders (with Mikeli¢, Andro; Shillor, Meir) The rigid punch problem with 
friction. 92b:73039 

Kokurin, M. Yu. An approach to the correction of incompatible variational inequalities. 
(Russian) 92m:47137 

Koyama, Tetsuya see Kenmochi, Nobuyuki, 92j:47122 








49340 


Krejéi, Pavel Vector hysteresis models. 92e:47122 

Kuo, Chung Shéng (with Yao, Jen Chih) Extension of strongly nonlinear quasivariational 
inequalities. 

Kyparisis, Jerzy see Al-Khayyal, Faiz A., 92e:90069 

van der Laan, Gerard see Dai, Yang; et al., 92f:90058 

Lamberton, Damien see Jaillet, Patrick; et al., 92d:90013 

Lapeyre, Bernard see Jaillet, Patrick; et al., 92d:90013 

Laurence, Peter (with Stredulinsky, Edward) Convex equimeasurable rearrangement: a 
counterexample and an example. (French summary) 92j:35038 

Lewicki, Grzegorz see Odyniec, Wiodzimierz P., 92a:41021 

Li, Bing You see Yan, Xin Li; et al., 92k:47131 

Li, Sheng Hong see Peng, Fu Lian; et al., 92¢:35076 

Li, Yi? see Lin, Fang-Hua, 924:35116 

Lin, Fang-Hua (with Li, Yi?) Boundary C'* regularity for variational inequalities. 
92d:35116 ‘ 

Liskovets, O. A. Discrete regularization of optimal control problems on ill-posed monotone 
variational inequalities. (Russian) 92b:49015 

— Regularization of ill-posed mixed variational inequalities. (Russian) 92i:47085 

— Finite-dimensional regularizers for problems of optimal control on solutions of ill-posed 
variational inequalities. (Russian. English and Ukrainian summaries) 92k:49062 

— Regularization of mixed incorrect variational inequalities of monotonic type. 92j:47131 

Liu, Wen Bin (with Rubio, J. E.) Optimal shape design for systems governed by variational 
inequalities. I. Existence theory for the elliptic case. 92k:49084a 

— (with Rubio, J. E.) Optimal shape design for systems governed by variational inequalities. 
II. Existence theory for the evolution case. 92k:49084b 

Lou, Zhuo Ming (with Chen, Bao Yao) Everywhere regularity for weak solutions to 
variational inequalities of triangular form. 92k:35113 

Laterotti, Fabio see Bernardi, Marco Luigi; et al., 92j:35130 

Ma, Yi Hai see Zhang, Shi Sheng, 92k:47117 

Magnanti, Thomas L. see Qiu, Yuping, 92m:90043 

Maksimov, V.I. On the modeling of control in parabolic variational inequalities. (Russian) 
92h:35116 

Marino, Antonio (with Tosques, M.) Some variational problems with lack of convexity and 
some partial differential inequalities. 92b:49006 

Matei, P. see Dinca, G., 92¢:73030 

Menaldi, José-Luis (with Perthame, Benoit; Robin, M.) Ergodic problem for optimal 
stochastic switching. 92¢:93079 

Miersemann, Erich (with Mittelmann, Hans D.) Extension of Beckert’s continuation 
method to variational inequalities. 92k:47130 

— (with Mittelmann, Hans D.) On the stability in obstacle problems with applications to the 
beam and plate. (German and Russian summaries) 92i:47086 

Mikeli¢, Andro see Klarbring, Anders; et al., 92b:73039 

Mittelmann, Hans D. see Miersemann, Erich, 92i:47086 and 92k:47130 

Mossino, Jacqueline see Héron, Bernard; et al., 92m:35022 

Moutoussamy, Isabelle (with Véron, Laurent) Source type positive solutions of nonlinear 
parabolic inequalities. 92g:35115 

Murat, Francois see Boccardo, Lucio; et al., 92c:46037 

Nagase, Haruo On an asymptotic behaviour of solutions of nonlinear parabolic variational 
inequalities. 92a:35094 

Nagurney, Anna (with Zhao, Lan) Disequilibrium and variational inequalities. 92i:90032 

Naselli Ricceri, Ornella On the covering dimension of the fixed point set of certain 
multifunctions. 92m:47117 

Nazarov, S. A. Asymptotic solution of a variational inequality that models friction. 
(Russian) 92b:35071 

Nguyén Minh Chu’o’ng (with Nguyen Van Kinh) Regularization of variational inequalities 
with perturbed nonmonotone and discontinuous operators. (Russian) 

Nguyen Van Kinh see Nguyén Minh Chu’o’ng 

Noor, Muhammad Aslam A computational method for variational inequalities. (see 
92m:65004) 

— Some classes of variational inequalities. 92j:47132 

— An iterative algorithm for variational inequalities. 92i:47087 

Odyniec, Wiodzimierz P. (with Lewicki, Grzegorz) * Minimal projections in Banach 
spaces. 92a:41021 

Panagiotopoulos, P. D. (with Stavroulakis, G. E.) The delamination effect in laminated 
von Karman plates under unilateral boundary conditions. A variational-hemivariational 
inequality approach. 92a:73030 

— Coercive and semicoercive hemivariational inequalities. 92m:47138 

— see also Haslinger, Jaroslav, 92d:49059 

Park, Sehie Variational inequalities and extremal principles. 92h:47094 

Peng, Fu Lian (with Li, Sheng Hong) Regularity of solutions to quasilinear elliptic 
variational inequalities. (Chinese. English summary) 92¢:35076 

Perthame, Benoit see Menaldi, José-Luis; et al., 92c:93079 

Picard, Colette see Héron, Bernard; et al., 92m:35022 

Pozzi, Gianni Arrigo see Bernardi, Marco Luigi; et al., 92j:35130 and 92m:47136 

Qiu, Yuping (with Magnanti, Thomas L.) Sensitivity analysis for variational inequalities. 
92m:90043 

Quittner, Pavol A remark on the stability of stationary solutions of parabolic variational 
inequalities. 92f:47069 

— An instability criterion for variational inequalities. 92b:58059 

Radoslovescu Capatina, Anca (with Cocu, M.) Internal approximation of quasi-variational 
inequalities. 92¢:65088 

Robin, M. see Menaldi, José-Luis; et al., 92c:93079 

Rubio, J. E. see Liu, Wen Bin, 92k:49084a and 92k:49084b 

Sadovskii, V.M. Hyperbolic variational inequalities in problems on the dynamics of 
elastoplastic bodies. (Russian) 92m:73063 

Sapronov, Yu. I. Nonlocal finite-dimensional reductions in variational boundary value 
problems. (Russian) 92g:35144 

Shi, Peter see Gilbert, R. P.; et al., 92m:73109 

Shillor, Meir see Klarbring, Anders; et al., 92b:73039 and Gilbert, R. P.; et al., 92m:73109 

Stavroulakis, G. E. see Panagiotopoulos, P. D., 92a:73030 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


Stredulinsky, Edward see Laurence, Peter, 92j:35038 

(Subrahmanyam, P. V.) see Isac, G. 

Talman, A. J.J. see Dai, Yang; et al., 92f:90058 

Tang, Qi An elastoplastic problem with frictions. 92¢:73055 

Tarafdar, E. Nonlinear variational inequality with application to the boundary value 
problem for quasilinear operator in generalized divergence form. 92c:47079 

Tchou, Nicoletta Anna see Finzi Vita, Stefano, 92k:35038 

Tiba, Dan see Bonnans, Joseph Frédéric, (92m:49004) 

Tosques, M. see Marino, Antonio, 92b:49006 

Toyoizumi, Hiroshi Continuous dependence on obstacles in variational inequalities. 
92h:35089 

Véron, Laurent see Moutoussamy, Isabelle, 92g:35115 

Visintin, Augusto Pattern evolution. 92m:49077a 

— Errata-corrige: “Pattern evolution”. 92m:49077b 

Wang, Lie Heng Morley’s element approximation to a fourth order variational inequality 
with curvature obstacle. 92j:65095 

Xiang, Shu Wen see Zhang, Shi Sheng; et al., 92g:47100 

Yamamoto, Yoshitsugu see Dai, Yang; et al., 92f:90058 

Yan, Xin Li (with Li, Bing You) Generalized variational inequalities and minimax 
theorems. (Chinese. English summary) 92k:47131 

Yao, Jen Chih Applications of variational inequalities to nonlinear analysis. 92c:47080 

— A basic theorem of complementarity for the generalized variational-like inequality 
problem. 92d:90102 

— The generalized quasi-variational inequality problem with applications. 924:90103 

— see also Kuo, Chung Shéng 

Zhang, Ke Wei! Energy minimizers in nonlinear elastostatics and the implicit function 
theorem. 92j:73021 

Zhang, Shi Sheng (with Xiang, Shu Wen) On the existence and uniqueness of solutions for 
a class of variational inequalities with applications to the Signorini problem in mechanics. 
(Chinese. English summary) 92g:47100 

— (with Zhang, Ying') Generalized KKM theorem and variational inequalities. 92k:47100 

— (with Huang, Nan Jing) Generalized multivalued implicit complementarity problems in 
Hilbert spaces. 92m:47139 

— (with Ma, Yi Hai) Generalized KKM theorem on H-space with applications. 92k:47117 

Zhang, Xiao Lan The FVI element approximation for variational inequalities with 
biharmonic operators. (Chinese. English summary) 92d:65202 

Zhang, Ying! see Zhang, Shi Sheng, 92k:47100 

Zhao, Lan (with Dafermos, Stella) General economic equilibrium and variational 
inequalities. 92k:90021 

— see also Nagurney, Anna, 92i:90032 

Zhao, Yi (with Huang, Yu; Chan, Wai Leung) Reachability for a class of nonlinear 
distributed systems governed by parabolic variational inequalities. 92h:93025 


49345 Problems involving semicontinuity and convergence 


Alibert, Jean-Jacques (with Dacorogna, Bernard) An example of a quasiconvex function 
that is not polyconvex in two dimensions. 92k:49019 

Ambrosio, Luigi (with Tortorelli, Vincenzo Maria) Approximation of functionals 
depending on jumps by elliptic functionals via T-convergence. 92f:49003 

— (with Mortola, Stefano; Tortorelli, Vincenzo Maria) Functionals with linear growth 
defined on vector valued BV functions. 92j:49004 

Amrani, Allal (with Castaing, Charles; Valadier, Michel) Méthodes de troncature 
appliquées a des problémes de convergence faible ou forte dans L'. [Truncation methods 
applied to problems of weak or strong convergence in L'] 92m:49014b 

— (with Castaing, Charles; Valadier, Michel) Convergence forte dans L' impliquée par la 
convergence faible. Méthodes de troncature. (English summary) [Strong convergence in 
L' implied by weak convergence. Truncation methods] 92m:49014a 

Attouch, Hédy (with Azé, D.; Beer, Gerald A.) On some inverse stability problems for the 
epigraphical sum. 92b:49021 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Variational stability of infinite- 
dimensional optimal control problems. 92a:49017 

Aviles, Patricio (with Giga, Yoshikazu) Variational integrals on mappings of bounded 
variation and their lower semicontinuity. 92d:49019 

Azé, D. (with Penot, Jean-Paul) Operations on convergent families of sets and functions. 
92b:49022 

— see also Attouch, Hédy; et al., 92b:49021 

Beer, Gerald A. (with Lucchetti, Roberto) Convex optimization and the epi-distance 
topology. 92a:49018 

— see also Attouch, Hédy; et al., 92b:49021 

Bellettini, Giovanni (with Paolini, Maurizio; Verdi, Claudio) I-convergence of discrete 
approximations to interfaces with prescribed mean curvature. (Italian summary) 
92a:49019 

Belov, E.G. (with Chentsov, A. G.) Relaxation of constraints in multi-objective problems. 
(Russian) 92m:49015 

Bottaro Aruffo, Ada Generalizations of Nagumo conditions. (Italian. English summary) 
92c:49006 

— Extensions of a theorem of de la Vallée-Poussin. (Italian. English summary) 92i:49022 

Bougeard, Mireille (with Penot, Jean-Paul; Pommellet, Alain) Towards minimal assump- 
tions for the infimal convolution regularization. 92b:49023 

Buttazzo, Giuseppe (with Freddi, Lorenzo) Functionals defined on measures and applica- 
tions to non-equi-uniformly elliptic problems. (Italian summary) 92k:49020 

Cabib, Elio (with Davini, Cesare) On the variational convergence with a null divergence 
condition. (Italian summary) 92¢:49007 

Carbone, Luciano (with De Arcangelis, Riccardo) Further results on I-convergence and 
lower semicontinuity of integral functionals depending on vector-valued functions. 
92i:49023 

Carriero, Michele (with Leaci, Antonio; Tomarelli, Franco) Plastic free discontinuities and 
special bounded Hessian. (French summary) 92m:49016 

Castaing, Charles see Amrani, Allal; et al., 92m:49014a and 92m:49014b 





829 1992 


Cesari, Lamberto Existence of discontinuous absolute minima for certain multiple integrals 
without growth properties. (Italian summary) 92m:49017 

Chbani, Zaki Caractérisation de la convergence d’intégrales définies 4 partir d’opérateurs 
elliptiques par la convergence des coefficients. [Characterization by convergence of 
coefficients of the convergence of integrals defined from elliptic operators] 92m:49018 

Chentsov, A. G. On the asymptotic equivalence of relaxations of extremal problems. 
(Russian) 92i:49024 

— On the construction of solution to nonregular problems of optimal control. (Russian 
summary) 92k:49021 

— see also Belov, E. G., 92m:49015 

Chiado Piat, Valeria Convergence of minima for nonequicoercive functionals and related 
problems. 92g:49008 

Contesse B., Luis (with Penot, Jean-Paul) Continuity of the Fenchel correspondence and 
continuity of polarities. 92i:49025 

Dacorogna, Bernard (with Murat, Francois) On the optimality of certain Sobolev exponents 
for the weak continuity of determinants. (French summary) 92m:49019 

— see also Alibert, Jean-Jacques, 92k:49019 

Dal Maso, Gianni (with Morel, Jean-Michel; Solimini, Sergio) A variational method in 
image segmentation: existence and approximation results. 92m:49020 

Davini, Cesare see Cabib, Elio, 92c:49007 

De Arcangelis, Riccardo Some remarks on the identity between a variational integral and its 
relaxed functional. (Italian summary) 92c:49008 

— see also Carbone, Luciano, 92i:49023 

De Cicco, Virginia A lower semicontinuity result for functionals defined on BV(Q). 
92g:49009 

— Lower semicontinuity for certain integral functionals on BV(Q). (Italian summary) 
921:49026 

De Giorgi, Ennio Some remarks on I’-convergence and least squares method. 92k:49022 

Dolecki, Szymon (with Greco, Gabriele H.) Niveloides: fonctionnelles isotones commutant 
avec l’addition de constantes finies. (English summary) [Niveloids: isotone functionals 
that commute with the addition of finite constants] 92b:49024 

E, Wei Nan A class of homogenization problems in the calculus of variations. 92h:49010 

Firoozye, Nikan B. Optimal use of the translation method and relaxations of variational 
problems. 92h:49011 

Fragoso, Marcelo D. (with Hemerly, Elder M.) Optimal control for a class of noisy linear 
systems with Markovian jumping parameters and quadratic cost. 

Frattarolo, Walter A homogenization problem with constraints on the gradient, for 
variational functionals. (Italian. English summary) 924:49020 

Freddi, Lorenzo see Buttazzo, Giuseppe, 92k:49020 

Giga, Yoshikazu see Aviles, Patricio, 924d:49019 

Gémez i Urgellés, Joan An elementary proof of the convergence of the Moreau-Yosida 
regularization. (Spanish. English summary) (see 92b:00044) 

Greco, Gabriele H. see Dolecki, Szymon, 92b:49024 

Greco, Luigi An approximation theorem for the I~ -convergence of degenerate quadratic 
functionals. (Italian. English summary) 92a:49020 

Hemerly, Elder M. see Fragoso, Marcelo D. 

Hess, Christian Convergence of conditional expectations for unbounded random sets, 
integrands, and integral functionals. 92h:49012 

Kovalevskii, A. A. Conditions for I-convergence and averaging of integral functionals with 
different domains. (Russian. English summary) 92¢:49015 

Lahrache, J. Stabilité et convergence dans les espaces non réflexifs. [Stability and conver- 
gence in nonreflexive spaces] 92m:49021 

Leaci, Antonio see Carriero, Michele; et al., 92m:49016 

Liu, Wen Bin (with Rubio, J. E.) Local convergences and optimal shape design. 92k:49023 

Lucchetti, Roberto (with Malivert,C.) Variational convergences and level sets multifunc- 
tions. 92b:49025 

— see also Beer, Gerald A., 92a:49018 

Malivert,C. see Lucchetti, Roberto, 92b:49025 

Mascarenhas, M. Luisa I-limite d’une fonctionnelle li¢e 4 un phénoméne de mémoire. 
(English summary) [I-limit of a functional associated with a memory effect phenomenon] 
92d:49021 

Messaoudi, K. (with Michaille,G.) Homogénéisation stochastique de certains problémes 
non coercifs. [Stochastic homogenization of some noncoercive problems] 92g:49010 

Michaille, G. see Messaoudi, K., 92g:49010 

Morel, Jean-Michel see Dal Maso, Gianni; et al., 92m:49020 

Mortola, Stefano see Ambrosio, Luigi; et al., 92j:49004 

Miller, Stefan Higher integrability of determinants and weak convergence in L'. 92b:49026 

— On quasiconvex functions which are homogeneous of degree 1. 92m:49022 

Murat, Francois see Dacorogna, Bernard, 92m:49019 

Owen, Nicholas C. (with Sternberg, Peter) Nonconvex variational problems with aniso- 
tropic perturbations. 92c:49009 

Pallara, Diego New theorems on functions of bounded variation. (Italian. English 
summary) 92a:49021 

— On the lower semicontinuity of certain integral functionals. (Italian summary) 92k:49024 

Pankratov, L.S. Asymptotic behavior of solutions of variational problems in domains with 
“accumulators”. (Russian) 92k:49025 

Paolini, Maurizio see Bellettini, Giovanni; et al., 92a:49019 

Papageorgiou, Nikolaos S. On the well-posedness and relaxability of nonlinear distributed 
parameter systems. (see 92f:93005) 

— On the well-posedness and relaxability of nonlinear distributed parameter systems. (see 
92d:00037) 

— On the optimal control, relaxation and variational stability of nonlinear distributed 
parameter systems. (see 92d:93006) 

— Optimal control and relaxation of nonlinear elliptic systems. 92i:49027 

— On the convergence properties of measurable multifunctions with values in a separable 
Banach space. 92g:49011 

— see also Avgerinos, Evgenios P., 92a:49017 

Patrone, Fioravante Well-posed minimum problems for preorders. 92d:49022 

Penot, Jean-Paul (with Volle, Michel) Topological stability results about approximate 
solutions of parametrized minimization problems. 92j:49005 


49J Existence theory for optimal solutions 


49345 


— see also Azé, D., 92b:49022; Bougeard, Mireille; et al., 92b:49023 and Contesse B., Luis, 
92i:49025 

Pommellet, Alain see Bougeard, Mireille; et al., 92b:49023 

Roubitek, TomaS Convex compactifications and special extensions of optimization 
problems. 92f:49004 

Rubio, J. E. see Liu, Wen Bin, 92k:49023 

Solimini, Sergio see Dal Maso, Gianni; et al., 92m:49020 

Sternberg, Peter Vector-valued local minimizers of nonconvex variational problems. 
92¢:49016 

— see also Owen, Nicholas C., 92c:49009 

Tomarelli, Franco see Carriero, Michele; et al., 92m:49016 

Tortorelli, Vincenzo Maria see Ambrosio, Luigi, 92f:49003 and 92j:49004 

Valadier, Michel see Amrani, Allal; et al., 92m:49014a and 92m:49014b 

Verdi, Claudio see Bellettini, Giovanni; et al., 92a:49019 

Volle, Michel Compléments sur la relation entre la régularisation de Lasry-Lions et 
l’équation de Hamilton-Jacobi. [Complements on the relation between the Lasry-Lions 
regularization and the Hamilton-Jacobi equation] 92g:49012 

— Régularisation des fonctions fortement minorées dans les espaces de Hilbert. [Regulariza- 
tion of functions strongly bounded from below in Hilbert spaces] 92g:49013 

— see also Penot, Jean-Paul, 92j:49005 

Vucans, Janis Questions of relaxation for optimal control problems for mixed systems of 
differential equations. (Russian. English and Latvian summaries) 92f:49005 

Zhikov, V. V. The Lavrent'ev effect and averaging of nonlinear variational problems. 
(Russian) 92j:49006 


Items with secondary classifications in 49J45 

Ambrosio, Luigi see De Giorgi, Ennio, 92j:49043 

Attouch, Hédy (with Azé, D.) Approximation and regularization of arbitrary functions in 
Hilbert spaces by the Lasry-Lions method. 92h:41065 

— (with Ndoutoume, James Louis; Théra, Michel) Epigraphical convergence of functions 
and convergence of their derivatives in Banach spaces. 92i:46050 

— (with Penot, Jean-Paul; Riahi, Hassan) The continuation method and variational 
convergence. (French summary) 92m:47123 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) On the sensitivity and relaxability 
of optimal control problems governed by nonlinear evolution equations with state 
constraints. 92h:49003 

Azé, D. see Attouch, Hédy, 92h:41065 

Bottaro Aruffo, Ada Representation of multivalued mappings by compact sets of integrable 
selections. (Italian. English summary) 92k:28022 

Cabib, Elio (with Davini, Cesare; Ru, Chong Qing) A problem in the optimal design of 
networks under transverse loading. 92c:73098 

Caligaris, Ottavio On the characterization of the range of an integral functional. 92¢e:49003 

— (with Oliva, P.) An existence theorem by means of regularization. 92k:49007 

Cardinali, Tiziana Relations between a multifunction and its boundary. (Italian) 
92m:28019 

Chen, Guang Jun (with Wang, Chang Yu; Zhou, Hui Shan) Continuousization of the family 
of point-to-set maps and its applications. 92a:90054 

Choban, M. M. (with Kenderov, P. S.; Revalski, Julian) Continuous selections of 
multivalued mappings. 92k:54020 

Congedo, Giuseppe (with Tamanini, Italo) On the existence of solutions to a problem in 
multidimensional segmentation. (French summary) 924:49085 

— see also Tamanini, Italo, 92m:49071 

Dall’Aglio, A. (with Tchou, Nicoletta Anna) G-convergence and semilinear elliptic 
equations. 92g:35069 

(Dal Maso, Gianni) see Composite media and homogenization theory, 92h:73002 

Davini, Cesare see Cabib, Elio; et al., 92c:73098 

De Blasi, F.S. (with Myjak, J.; Papini, P. L.) Porous sets in best approximation theory. 
92h:41066 

De Giorgi, Ennio (with Ambrosio, Luigi) New functionals in the calculus of variations. 
(Italian. English summary) 92j:49043 

Delladio, Silvano Lower semicontinuity and continuity of functions of measures with 
respect to the strict convergence. 92i:28012 

(Dell’Antonio, Gianfausto) see Composite media and homogenization theory, 92h:73002 

Del Vecchio, T. On the homogenization of a class of pseudomonotone operators in 
divergence form. (Italian summary) 92¢:35030 

Dibos, Francoise (with Koepfler, Georges) Propriété de régularité des contours d’une image 
segmentée. (English summary) [Regularity property of the boundaries of a segmented 
image] 92i:49005 

Fattorini, H.O. Relaxed controls in infinite-dimensional systems. 92m:49006 

Guseinov, F. V. Extension of variational problems and necessary conditions for an 
extremum. (Russian. English and Azerbaijani summaries) 92a:49025 

Hnid, Mohammed Etude de transmission a travers des inclusions minces faiblement 
conductrices de “codimension un”: homogénéisation et optimisation des structures. 
(English summary) [Study of transmission via codimension-one weakly conducting thin 
inclusions: homogenization and optimization of structures] 92j:73003 

James, Richard Dana (with Kinderlehrer, David) Frustration in ferromagnetic materials. 
92a:82132 

Kassay, G. (with Kolumban, I.) On a theorem of Brézis, Nirenberg and Stampacchia. 
92g:47093 

Kenderov, P. S. see Choban, M. M.; et al., 92k:54020 

Kinderlehrer, David see James, Richard Dana, 92a:82132 

King, Alan J. (with Wets, Roger J.-B.) Epi-consistency of convex stochastic programs. 
92k:90057a 

— (with Wets, Roger J.-B.) Erratum: “Epi-consistency of convex stochastic programs”. 
92k:90057b 

Koepfler, Georges see Dibos, Francoise, 92i:49005 

Kolumban, I. see Kassay, G., 92g:47093 

Lavrentev, I. M. (with Scepanovi¢, Radoje) On the minimum of weakly regular function- 
als. (Russian. English and Serbo-Croatian summaries) 92m:47146 





49345 


Manelli, Alejandro M. Core convergence without monotone preferences and free disposal. 
92h:90038 

Mazliak, Laurent Comparison between optimal costs for relaxed and nonrelaxed control 
problems with jumps. 92g:93105 

Moussaoui, Mohammed Approximations lipschitziennes de multifonctions. Application 
aux conditions nécessaires d’optimalité. [Lipschitz approximations of multifunctions. 
Application to necessary conditions of optimality] 92g:49022 

Myjak, J. see De Blasi, F. S.; et al., 92h:41066 

Ndoutoume, James Louis see Attouch, Hédy; et al., 92i:46050 

Oliva, P. see Caligaris, Ottavio, 92k:49007 

Owen, Nicholas C. Gradient theory of phase transitions with general singular perturbations. 
92j:49027 

Papageorgiou, Nikolaos S. Sensitivity analysis of evolution inclusions and its applications to 
the variational stability of optimal control problems. 92a:34017 

— On the dependence of the solutions and optimal solutions of control problems on the 
control constraint set. 92k:49052 

— Aconvergence result for a sequence of distributed-parameter optimal control problems. 
92b:49040 

— On the optimal control and relaxation of finite-dimensional systems driven by maximal 
monotone differential inclusions. (Russian summary) 92i:49008 

— see also Avgerinos, Evgenios P., 92h:49003 

Papini, P. L. see De Blasi, F.S.; et al., 92h:41066 

Penot, Jean-Paul see Attouch, Hédy; et al., 92m:47123 

Percivale, Danilo A remark on relaxation of integral functionals. 92i:49006 

Poliquin, René A. (with Zizler, V. E.) Optimization of convex functions on w*-compact 
sets. 92¢:46039 

Pucci, Patrizia (with Serrin, James) Continuation and limit properties for solutions of 
strongly nonlinear second order differential equations. 92j:34069 

Revalski, Julian see Choban, M. M.; et al., 92k:54020 

Riahi, Hassan see Attouch, Hédy; et al., 92m:47123 

Ru, Chong Qing see Cabib, Elio; et al., 92c:73098 

Salvadori, Anna Integral functionals convergence and connections with some variational 
inequalities. (Russian summary) 92d:49018 

Scepanovié, Radoje see Lavrent’ev, I. M., 92m:47146 

Serrin, James see Pucci, Patrizia, 92j:34069 

Strugov, Yu. F. Semicontinuity of some functionals. (Russian) 92h:49001 

Tamanini, Italo (with Congedo, Giuseppe) Density theorems for local minimizers of area- 
type functionals. 92m:49071 

— see also Congedo, Giuseppe, 924:49085 

Tchou, Nicoletta Anna see Dall’Aglio, A., 92g:35069 

Teodoru, Georgeta Continuous selections for multifunctions satisfying the Carathéodory 
type conditions. The Cauchy problem associated to a multi-valued equation. (Romanian 
summary) 92k:35306 

Théra, Michel see Attouch, Hédy; et al., 92i:46050 

Wang, Chang Yu see Chen, Guang Jun; et al., 922:90054 

Wets, Roger J.-B. see King, Alan J., 92k:90057a and 92k:90057b 

Zagrodny, D. An example of bad convex function. 92f:26023 

Zhou, Hui Shan see Chen, Guang Jun; et al., 92a:90054 

Zizler, V. E. see Poliquin, René A., 92e:46039 


Items listed otherwise than by author 

Composite media and homogenization theory * Composite media and homogenization 
theory. 92h:73002 

Trieste * Composite media and homogenization theory. 92h:73002 

Workshop: 


Composite Media and Homogenization Theory * Composite media and homogenization 
theory. 92h:73002 


49J50 Fréchet and Gateaux differentiability [see also 46G05, 
58C20] 


Castagnoli, E. (with Mazzoleni, Piera) Differentiable (a, A)-concave functions. 92j:49007 

Ferro, F. A generalization of the Arrow-Barankin-Blackwell theorem in normed spaces. 
92¢:49017 

Georgiev, Pando Grigorov The smooth variational principle and generic differentiability. 
92¢:49018 

Martinez-Legaz, Juan-Enrique Weak lower subdifferentials and applications. 92¢:49019 

Mazzoleni, Piera see Castagnoli, E., 92j:49007 

Poliquin, René A. Integration of subdifferentials of nonconvex functions. 92j:49008 


Items with secondary classifications in 49J50 
Gieraltowska-Kedzierska, Maria (with Van Vleck, F.S.) Fréchet vs. Gateaux differentiabil- 
ity of Lipschitzian functions. 92g:26032 


Sharp, Bernice The differentiability of convex functions on topological linear spaces. 
924:46111 


Van Vleck, F.S. see Gieraltowska-Kedzierska, Maria, 92g:26032 


Zajitek, Ludék Fréchet differentiability, strict differentiability and subdifferentiability. 
92j:46081 








49J52 Nonsmooth analysis (other weak concepts of optimality) 
[see also 58C20, 90C 48] 


Akhundov, I. S. see Rubinov, A. M., 924:49028 

Akhunov, I. S. On a connection between the quasidifferential and the Clarke subdifferential. 
(Russian. English and Azerbaijani summaries) 92i:49028 

Auslender, A. (with Cominetti, R.) A comparative study of multifunction differentiability 
with applications in mathematical programming. 92¢:49010 

Baitukenov, M. T. Formulas for the subdifferentiation of an implicit function for Lipschitz 
mappings. (Russian) 92h:49013 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


Bector, C. R. see Bhatt, S. K., 92e:49020 

Bhatt, S. K. (with Bector, C. R.) Fritz John optimality conditions and subgradient 
duality for a nondifferentiable mathematical programming problem under p. ity. 
92¢:49020 

Bobylév, N. A. (with Kondakov, G. V.) A deformation method for studying nonsmooth 
optimization problems. (Russian) 92j:49009 

Burke, James V. (with Qi, LiQun) Weak directional closedness and generalized subdiffer- 
entials. 92m:49023 

— Calmness and exact penalization. 92¢:49021 

Chou, Chin Ch’éng Inverse function theorems for multifunctions in Fréchet spaces. 
92k:49026 

Cominetti, R. see Auslender, A., 92c:49010 

Contesse B., Luis (with Penot, Jean-Paul) Continuity of the approximate subdifferential. 
92i:49029 

Correa, R. (with Jofré, A.; Thibault, Lionel) Characterization of lower semicontinuous 
convex functions. 92k:49027 

Craven, B. D. see Yang, Xiao Qi, 92d:49030 

Dem’yanov, V. F. Continuous generalized gradients for nonsmooth functions. (see 
92b:90012) 

Dietrich, Helmut On the convexification procedure for nonconvex and nonsmooth infinite- 
dimensional optimization problems. 92j:49010 

Dinh Thé Luc Contingent derivatives of set-valued maps and applications to vector 
optimization. 924:49023 

Durga Prasad, M. V. see Mond, B.; et al., 92d:49026 

Ellaia, R. (with Hassouni, A.) Characterization of nonsmooth functions through their 
generalized gradients. 92a:49022 

Frankowska, Halina Conical inverse mapping theorems. 92k:49028 

Hamilton, E. P. see Nashed, M. Zuhair, 92i:49031 

Hassouni, A. see Ellaia, R., 92a:49022 

Hiriart-Urruty, Jean-Baptiste How to regularize a difference of convex functions. 92j:49011 

Huang, Ji Qing (with Zhang, Lian Sheng) The Kuhn-Tucker optimality conditions for non- 
Lipschitz programming. (Chinese) 92a:49023 

Huang, Xue Xiang Generalized recession cones and generalized recession functions. 
(Chinese. English summary) 92e:49022 

Husain, I. see Mond, B.; et al., 924:49026 

Jeyakumar, Vaithilingam Composite nonsmooth programming with Gateaux differentiabil- 
ity. 92b:49027 

Jofré, A. see Correa, R.; et al., 92k:49027 

Jourani, A. (with Thibault, Lionel) Approximate subdifferential and metric regularity: the 
finite-dimensional case. 924:49024 

Khan, M. Ali Ioffe’s normal cone and the foundations of welfare economics: the infinite- 
dimensional theory. 92h:49014 

Khan, Zulfiqar Ali On nondifferentiable quasiconvex programming problem. 924:49025 

Kondakov, G. V. see Bobylév, N. A., 92j:49009 

Kummer, Bernd An implicit-function theorem for C%!-equations and parametric C!!- 
optimization. 92f:49006 

— Lipschitzian inverse functions, directional derivatives, and applications in C!! optimiza- 
tion. 92¢:49023 

Kuntz, L. A characterization of continuously codifferentiable functions and some conse- 
quences. 92m:49024 

Lai, Han Ch’ing Optimality conditions for Lipschitz functions on Banach spaces. 
92g:49014 

Lemaréchal, Claude Nondifferentiable optimization. (see 92a:90001) 

— (with Zowe, J.) The eclipsing concept to approximate a multi-valued mapping. 
922:49024 

Li, Shi Zheng A new dual problem for nondifferentiable convex programming. 92b:49028 

Luderer, Bernd (with Résiger, R.; Wiirker, U.) On necessary minimum conditions in 
quasidifferential calculus: independence of the specific choice of quasidifferentials. 
92i:49030 

Maksudov, F.G. (with Sadygov, M. A.) A higher-order subdifferential. (Russian) 
92m:49025 

Margolis, Beatriz Quasi-differentiability: a formal approach. First and second gradient 
classes. 92¢:49024 

Michel, Philippe (with Penot, Jean-Paul) A generalized derivative for calm and stable 
functions. 92k:49029 

Mond, B. (with Husain, I.; Durga Prasad, M. V.) Duality for a class of nondifferentiable 
multi-objective programs. 924:49026 

Nashed, M. Zuhair (with Hamilton, E. P.) Local and global bivariational gradients and 
singular variational derivatives of functionals on C"[a, b]. 92i:49031 

Nguyen Dong Yen see Pham Huy Dién, 92g:49015 

Novo Sanjurjo, V. (with Rodriguez Marin, L.) Generalized derivative in R. Application to 
the study of extrema. (Spanish. English summary) (see 92m:00049) 

Overton, Michael L. Large-scale optimization of eigenvalues. 92k:49030 

Pappalardo, M. Tangent cones and Dini derivatives. 92i:49032 

Pellegrini, L. An extension of the Hestenes necessary condition. 92d:49027 

Penot, Jean-Paul see Contesse B., Luis, 92i:49029 and Michel, Philippe, 92k:49029 

Perevozchikov, A.G. On a subdifferential calculus of regular functions. (Russian) 92f:49007 

Pham Huy Dién (with Nguyen Dong Yen) On implicit function theorems for set-valued 
maps and their application to mathematical programming under inclusion constraints. 
92¢:49015 

— (with Yen, N. D.) Correction: “On implicit function theorems for set-valued maps and 
their application to mathematical programming under inclusion constraints” [Appl. Math. 
Optim. 24 (1991), no. 1, 35-54; MR 92g:49015]. 

Pontini, C. Solving in the affirmative a conjecture about a limit of gradients. 92h:49015 

Qi, LiQun see Burke, James V., 92m:49023 

Rodriguez Marin, L. see Novo Sanjurjo, V., (92m:00049) 

Rosiger, R. see Luderer, Bernd; et al., 92i:49030 

Rubinov, A. M. (with Akhundov, I. S.) Properties of the difference of convex compact 
sets in the sense of V. F. Dem‘yanov. (Russian. English and Azerbaijani summaries) 
92d:49028 








831 1992 


Sadygov, M. A. see Maksudov, F. G., 92m:49025 

Scholtes, Stefan %* On convex bodies and some applications to optimization. 92j:49012 

Seeger, Alberto Complément de Schur et sous-différentiel du second ordre d’une fonction 
convexe. (English summary) [Schur complement and second-order differential of a convex 
function] 92¢:49025 

Simons, Stephen The least slope of a convex function and the maximal monotonicity of its 
subdifferential. 92k:49031 

Studniarski, Marcin Sufficient optimality conditions in terms of the usual gradients for 
nondifferentiable programming problems. (Russian and Polish summaries) 92d:49029 

— Second-order necessary conditions for optimality in nonsmooth nonlinear programming. 
92:49026 

Subbotin, A. I. On a property of a subdifferential. (Russian) 92i:49033 

Szabé, I. Clarke’s derivative. (Hungarian. English summary) 

Thibault, Lionel On subdifferentials of optimal value functions. 92¢:49027 

— see also Jourani, A., 92d:49024 and Correa, R.; et al., 92k:49027 

Treiman, J.S. An infinite class of convex tangent cones. 92¢:49028 

Wang, Da Qi Relations between a class of nonsmooth optimization problems and smooth 
ones. (Chinese. English summary) 92m:49026 

Wang, Ti Xiang A minimax principle without differentiability. 92h:49016 

Wang, Yun Tong A characterization of paratingent cone and P-subderivative with 
applications in nonsmooth analysis. 92f:49008 

Ward, D. E. Convex directional derivatives in optimization. 92i:49034 

Warga, J. Nonsmooth problems with conflicting controls. 92b:49029 

Wets, Roger J.-B. Constrained estimation: consistency and asymptotics. 92b:49030 

Wiirker, U. see Luderer, Bernd; et al., 92i:49030 

Yang, Xiao Qi (with Craven, B.D.) Necessary optimality conditions with a modified 
subdifferential. 92d:49030 

Ye, Yuan Ling see Zhang, Ke Cun; et al., 92b:49031 

Yen, N. D. see Pham Huy Dién 

Zhang, Ke Cun (with Ye, Yuan Ling) Optimality conditions for nonsmooth constrained 
programming. (Chinese. English summary) 92b:49031 

Zhang, Lian Sheng see Huang, Ji Qing; et al., 92a:49023 

Zowe, J. see Lemaréchal, Claude, 92:49024 


Items with secondary classifications in 49J52 

Ahn, Hyunsil see Kim, Sehun, 92i:90096 

Attouch, Hédy (with Wets, Roger J.-B.) Quantitative stability of variational systems. I. The 
epigraphical distance. 92c:90111 

Aubin, Jean-Pierre (with Da Prato, Giuseppe) Solutions contingentes de l’équation de 
la variété centrale. (English summary) (Contingent solutions to the center manifold 
equation] 92b:34028 

— (with Frankowska, Halina) Feedback controls for uncertain systems. 92j:49039 

Batukhtin, V. D. (with Korotaeva, L. N.) The method of feasible directions for nonsmooth 
functions and constraints. (Russian) 92c:90098 

Ben-Tal, Aharon (with Teboulle, Marc; Yang, Wei H.) A least-squares-based method for a 
class of nonsmooth minimization problems with applications in plasticity. 92i:90092 

Bhatia, Davinder (with Jain, Pushp) Nondifferentiable multiobjective fractional program- 
ming with Hanson-Mond classes of functions. 92b:90179 

Boncompte, M. (with Martinez-Legaz, Juan-Enrique) Fractional programming by lower 
subdifferentiability techniques. 92¢:90100 

Borwein, Jonathan M. Minimal CUSCOS and subgradients of Lipschitz functions. (French 
summary) 92j:46077 

Burke, James V. (with Ferris, Michael C.) Characterization of solution sets of convex 
programs. 92i:90078 

Burtsev, S. V. Two implicit function theorems. (Russian) 92k:58025 

Caputti, Telma The plenary hull of the generalized Jacobian matrix and the inverse function 
theorem in subdifferential calculus. 92b:58025 

— Methods of feasible directions in nondifferentiable optimization. 92k:65098 

Casas Renteria, Eduardo (with Fernandez, Luis Alberto) Optimal control of quasilinear 
elliptic equations with nondifferentiable coefficients at the origin. 92j:49018 

Cesari, Lamberto Existence of discontinuous absolute minima for certain multiple integrals 
without growth properties. (Italian summary) 92m:49017 

— Existence of BV absolute discontinuous minima for modified multiple integrals of the 
calculus of variations. 924:49002 

Chentsov, A. G. On the asymptotic equivalence of relaxations of extremal problems. 
(Russian) 92i:49024 

Chichinadze, V. K. Solution of nonlinear nonconvex optimization problems by ‘Y- 
transformation method. 924:90076 

Cho, Hsun-Jung see Friesz, Terry L.; et al., 92¢:90075 

Craven, B. D. see Sach, P. H., 92k:90083 

Da Prato, Giuseppe see Aubin, Jean-Pierre, 92b:34028 

Dempster, M. A. H. Optimal control of piecewise deterministic Markov processes. 
92¢:49023 

Dem’‘yanov, V. F. A second-order method in minimax problems. (Russian. English 
summary) 92h:90114 

— (with Rubinov, A. M.) * OcHosbI Hernagkoro aHanH3a H KBa3sHLuddepeHMabHOe 
ucuucyenue. (Russian) [Foundations of nonsmooth analysis, and quasidifferential 
calculus] 92j:40001 

Elgortobi, Abdelkader Sous-différentiel d’une somme de fonctionnelles. (English summary) 
[Subdifferential of a sum of functionals] 92m:90035 

Fan, Xian Ling see Pshenichnyi, B. N., 92b:90169 

Fernandez, Luis Alberto see Casas Renteria, Eduardo, 92j:49018 

Ferris, Michael C. see Burke, James V., 92i:90078 

Frankowska, Halina see Aubin, Jean-Pierre, 92j:49039 

Friesz, Terry L. (with Tobin, Roger L.; Cho, Hsun-Jung; Mehta, Nihal J.) Sensitivity 
analysis based heuristic algorithms for mathematical programs with variational inequality 
constraints. 92e:90075 

Fukushima, Masao A successive quadratic programming method for a class of constrained 
nonsmooth optimization problems. 92a:90056 


49J Existence theory for optimal solutions 


49352 


Ginchev, I. Local approximations of higher order for multifunctions of one variable. 
92b:41040 

Gorokhovik, V. V. * Brinyxubie 1 Hernaykue 3aa4H BeKTOpHOM onTHMu3auMH. (Russian) 
[Convex and nonsmooth problems of vector optimization] 92g:90004 

Gwinner, Joachim see Jeyakumar, Vaithilingam, 92e:49011 

Han, Shih-Ping see Pang, Jong-Shi; et al., 92b:90199 

Higgins, J.E. see Polak, Elijah; et al., 92d:90086 

Huynh The Phung (with Pham Huy Dién) Solving nonsmooth inclusions in the convex 
case. 92m:65082 

Ioffe, Alexandre D. Variational analysis of a composite function: a formula for the lower 
second order epi-derivative. 92m:46061 

Jain, Pushp see Bhatia, Davinder, 92b:90179 

Jeyakumar, Vaithilingam (with Gwinner, Joachim) Inequality systems and optimization. 
92e:49011 

Jongen, Hubertus Th. (with Klatte, Diethard; Tammer, Klaus) Implicit functions and 
sensitivity of stationary points. 92i:90101 

Kaul, R. N. (with Lyall, Vinod) Locally connected functions and optimality. 92b:90195 

Kim, Sehun (with Ahn, Hyunsil) Convergence of a generalized subgradient method for 
nondifferentiable convex optimization. 92i:90096 

Kiwiel, Krzysztof C. (with Stachurski, Andrzej) Issues of effectiveness arising in the design 
of a system of nondifferentiable optimization algorithms. (see 92e:90006) 

— Asurvey of bundle methods for nondifferentiable optimization. (see 92a:90007) 

— An algorithm for large-scale linearly constrained nondifferentiable convex minimization. 
92j:90070 

— Exact penalty functions in proximal bundle methods for constrained convex nondifferen- 
tiable minimization. 92g:90126 

— A tilted cutting plane proximal bundle method for convex nondifferentiable optimization. 
92¢:90051 

Klatte, Diethard see Jongen, Hubertus Th.; et al., 92i:90101 

Knyazev, E. A. e-subgradient algorithms with adaptive parametric control in the method of 
centers. (Russian) 92b:90196 

Konnov, I. V. Convergence of relaxation methods for solving problems of nondifferentiable 
optimization with constraints. (Russian) 92g:90170 

Korotaeva, L. N. see Batukhtin, V. D., 92c:90098 

Krawcewicz, W. (with Marzantowicz, Waclaw) Some remarks on the Lusternik- 
Schnirel/man method for nondifferentiable functionals invariant with respect to a finite 
group action. 92f:58033 

Kyivan, Vlastimil On the intersection of contingent cones. 92g:58012 

Kuntz, L. (with Pielczyk, A.) The method of common descent for a certain class of 
quasidifferentiable functions. 92g:90139 

Lai, Han Ch’ing Differentiability and duality for integral functions. 92f:46057 

Lin, Ying Ju (with Ye, Xian Jian) Subgradient projection algorithms for constrained 
nonsmooth optimization. I. Linear constraints. (Chinese. English summary) 92b:90198 

Linke, Yu. E. The problem of the existence of a subdifferential for continuous and compact 
sublinear operators. (Russian) 92j:46080 

Liu, Chéng Ch’uan ¢-duality theorem of nondifferentiable nonconvex multiobjective 
programming. 92d:90072 

Liu, Jin An integral descent method for nondifferentiable programming. (Chinese. English 
summary) 92b:65046 

Liu, Li Ping The second-order conditions of nondominated solutions for C':' generalized 
multiobjective mathematical programming. 92e:90065 

Liu, San Yang Generalized proper efficient solutions to nonsmooth multiobjective 
optimization problems. (Chinese. English summary) 924:90073 

Luderer, Bernd Directional derivative estimates for the optimal value function of a 
quasidifferentiable programming problem. 92h:90124 

Lyall, Vinod see Kaul, R. N., 92b:90195 

Miakela, Marko M. On the methods of nonsmooth optimization. (see 92i:93007) 

— Bundle method for nonsmooth nonconvex constrained optimization. (see 92a:65022) 

— (with Mannikké, Timo) Nonsmooth optimization with industrial applications. (see 
92i:93006) 

Mannikké, Timo see Makela, Marko M., (92i:93006) 

Marino, Antonio (with Tosques, M.) Some variational problems with lack of convexity and 
some partial differential inequalities. 92b:49006 

Martinez-Legaz, Juan-Enrique Weak lower subdifferentials and applications. 92e:49019 

— see also Boncompte, M., 92e:90100 

Marzantowicz, Waclaw see Krawcewicz, W., 92f:58033 

Mayne, David Q. see Polak, Elijah; et al., 92d:90086 

Mehta, Nihal J. see Friesz, Terry L.; et al., 92e:90075 

Mifflin, Robert On superlinear convergence in univariate nonsmooth minimization. 
92e:90080 

Minchenko, L. I. On differential stability with respect to parameters in problems in 
mathematical programming. (Russian. English summary) 92e:90090 

— Derivatives of multivalued mappings and the maximum principle for differential 
inclusions. (Russian) 92j:49022 

— Calculation of directional derivatives in maximin problems with linear constraints. 
(Russian) 92¢:90113 

Molodtsov, D. A. * IIpx6nuxenHbIf HHTerpan B MHOroMepHOM cyty4ae. (Russian) [An 
approximate integral in the multidimensional case] 92k:46074 

Ndoutoume, James Louis Optimality conditions for control problems governed by 
variational inequalities. 92d:49014 

Nguyen, V. Hien (with Strodiot, Jean-Jacques) Computing a global optimal solution to a 
design centering problem. 92k:90093 

Pallaschke, Diethard (with Recht, P.; Urbanski, Ryszard) Generalized derivatives for 
nonsmooth functions. 92k:26020 

Pang, Jong-Shi A B-differentiable equation-based, globally and locally quadratically 
convergent algorithm for nonlinear programs, complementarity and variational inequality 
problems. 92f:90062 

— (with Han, Shih-Ping; Rangaraj, Narayan) Minimization of locally Lipschitzian 
functions. 92b:90199 

Pappalardo, M. A necessary optimality condition for nondifferentiable constrained 





49352 


extremum problems. 92h:90119 

Perevozchikov, A. G. A method for the approximation of the pseudogradient mapping of the 
function of the connected maximum. (Russian) 92j:90056 

Pham HuyDién see Huynh The Phung, 92m:65082 

Phan Thién Thach Quasiconjugates of functions, duality relationship between quasiconvex 
minimization under a reverse convex constraint and quasiconvex maximization under a 
convex constraint, and applications. 92¢:49046 

Pielezyk, A. see Kuntz, L., 92g:90139 

Pluciennik, Ryszard (with Tian, Shen; Wang, Yu Wen) Nonconvex integral functionals on 
Musielak-Orlicz spaces. 92g:46059 

Polak, Elijah (with Mayne, David Q.; Higgins, J. E.) Superlinearly convergent algorithm for 
min-max problems. 924:90086 

Polovinkin, E.S. The properties of continuity and differentiation of solution sets of 
Lipschitzean differential inclusions. 92h:34040 

Pshenichnyi, B. N. (with Fan, Xian Ling) The interconnection between regularity 
conditions in convex programming. (Russian. English summary) 92b:90169 

Rangaraj, Narayan see Pang, Jong-Shi; et al., 92b:90199 

Recht, P. see Pallaschke, Diethard; et al., 92k:26020 

Robinson, Stephen M. An implicit-function theorem for a class of nonsmooth functions. 
92g:58013 

Rockafellar, R.T. Computational schemes for large-scale problems in extended linear- 
quadratic programming. 92h:49037 

— On a special class of convex functions. 92k:26024 

Roubitek, Tomas Optimization of a Stefan problem by nonsmooth methods. 92m:49056 

Rubinov, A. M. see Dem’yanov, V. F., 92j:40001 

Rzhevskii, S. V. The conditional e-subgradient method for the simultaneous solution of 
the original and the dual convex programming problem. (Russian. English summary) 
92a:90062 

Sach, P. H. (with Craven, B.D.) Invexity in multifunction optimization. 92k:90083 

Schechter, Martin A bounded mountain pass lemma without the (PS) condition and 
applications. 92h:58040 

Shapiro, Alexander On concepts of directional differentiability. 92e:46092 

Shi, Guang Yan Investigation of higher-order algorithms for a class of nondifferentiable 
constrained programming problems. (Chinese. English summary) 92e:90081 

Shiraishi, Shuji First-order and second-order e-directional derivatives of a marginal 
function in convex programming with linear inequality constraints. 92e:90092 

Shiraishi, Shunsuke ¢-directional derivative of a marginal function in parametrized convex 
programming. 92i:90104 

Simons, Stephen The occasional distributivity of o over é and the change of variable 
formula for conjugate functions. 92¢:46053 

Smirnov, G. V. Discrete approximations and optimal solutions of differential inclusions. 
(Russian. English and Ukrainian summaries) 92h:49019 

Stachurski, Andrzej see Kiwiel, Krzysztof C., (92e:90006) 

Staib, T. On necessary and sufficient optimality conditions for multicriterial optimization 
problems. 92¢:90067 

Strodiot, Jean-Jacques see Nguyen, V. Hien, 92k:90093 

Studniarski, Marcin The discrete maximum principle as a sufficient optimality condition. 
(Russian summary) 92i:49043 

Tammer, Klaus see Jongen, Hubertus Th.; et al., 92i:90101 

Teboulle, Marc see Ben-Tal, Aharon; et al., 92i:90092 

Thierfelder, Jorg Subdifferentiale und Vektoroptimierung. [Subdifferentials and vector 
optimization] 92f:90054 

Tian, Shen see Pluciennik, Ryszard; et al., 92g:46059 

Tiba, Dan * Optimal control of nonsmooth distributed parameter systems. 92a:49001 

Tobin, Roger L. see Friesz, Terry L.; et al., 92e:90075 

Torgashova, N.E. Implicit and inverse function theorems in quasidifferential calculus. 
(Russian) 92b:26022 

Tosques, M. see Marino, Antonio, 92b:49006 

Traffert, A. Conditional expectation of integrands and random sets. 92h:90094 

Urbatiski, Ryszard see Pallaschke, Diethard; et al., 92k:26020 

Uryas’ev, S. P. New variable-metric algorithms for nondifferentiable optimization problems. 
92g:90155 

Vii Ngoc Phat Control problem of nonlinear dynamical systems with phase constraints. 
92g:93020 

Wang, Yu Wen see Pluciennik, Ryszard; et al., 92g:46059 

Wets, Roger J.-B. see Attouch, Hédy, 92c:90111 

Xia, Zan Quan An algorithm for minimizing a class of quasidifferentiable functions. 
(Chinese summary) 92k:90098 

Xu, Hai Xiang Regularity of minima of nondifferentiable functionals of higher order. 
(Chinese) 92b:49072 

Yang, Chao An algorithm for nondifferentiable convex programming under linear 
constraints and its convergence. (Chinese. English summary) 92e:93024 

Yang, Wei H. see Ben-Tal, Aharon; et al., 92i:90092 

Ye, Xian Jian see Lin, Ying Ju; et al., 92b:90198 

Ye, Y. L. d-invexity and optimality conditions. 92k:90085 

Ye, Yuan Ling see You, Zhao Yong; et al., 92a:90051 

You, Zhao Yong (with Zhang, Ke Cun; Ye, Yuan Ling) The duality theory of nonsmooth 
multi-objective programming. (Chinese. English summary) 92a:90051 

Zhang, Ke Cun see You, Zhao Yong; et al., 92a:90051 

Zhou, Xun Yu Remarks on optimal controls of stochastic partial differential equations. 
92h:93108 

Zimmermann, Karel Max-separable optimization problems with unimodal functions. 
(Czech summary) 92h:90123 


49J55 Problems involving randomness [see also 93E20] 


Borkar, Vivek S. On extremal solutions to stochastic control problems. 92g:49016 

Chan, Wai Leung see Situ, Rong, 92k:49032 

Gao, Zu Xin Stochastic optimal control of partially observed diffusions. (Chinese. English 
summary) 924:49031 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


1992 832 


Situ, Rong (with Chan, Wai Leung) Existence of solutions and optimal control for 
reflecting stochastic differential equations with applications to population control theory. 
92k:49032 

Zhou, Xun Yu On the existence of optimal relaxed controls of stochastic partial differential 
equations. 92m:49027 


Items with secondary classifications in 49J55 

Hernandez-Lerma, Onésimo Average optimality in dynamic programming on Borel 
spaces—unbounded costs and controls. 92h:93103 

Johnson, Alan Discrete and sampled-data stochastic control problems with complete and 
incomplete state information. 92h:93104 

Legut, Jerzy (with Wilczynski, Maciej) An application of minimax theorems to optimal 
partitioning of a measurable space. (French summary) 92h:49006 

Pimenov, V. G. On the existence of generalized optimal controls in systems with delay in the 
control. (Russian) 92k:49011 

Wilczyiiski, Maciej see Legut, Jerzy, 92h:49006 


49399 None of the above, but in this section 


Bottaro Aruffo, Ada Functional estimations. (Italian. English summary) 92c:49011 
Legen’kii, V. 1. Synthesis of an optimal control of smooth dynamical systems as a problem 
of group analysis. (Russian) (see 92b:35011) 


Items with secondary classifications in 49J99 

Anzellotti, G. (with Baldo, Sisto; Visintin, Augusto) Asymptotic behavior of the Landau- 
Lifshitz model of ferromagnetism. 92a:82131 

Baiocchi, Claudio (with Pukhnachev, V. V.) Problems with unilateral constraints for 
Navier-Stokes equations, and the problem of a dynamic boundary angle. (Russian) 
92£:76030 

Baldo, Sisto see Anzellotti, G.; et al., 92a:82131 

Ball, J. M. Dynamics and minimizing sequences. 924:73007 

Bobylév, N. A. (with Burman, Yu. M.) Morse lemmas for functionals of the calculus of 
variations. (Russian) 92m:58022 

Burman, Yu. M. see Bobylév, N. A., 92m:58022 

Conn, Andrew R. (with Li, Yuying) An approach to nonlinear /,. approximation. 
92¢:41025 

Costa, David G. Morse index and exact number of solutions for ODEs with jumping 
nonlinearities. 92m:34054 

Fridman, L. M. Singular redefinitions of discontinuous systems, and stability. (Russian) 
92b:34030 

Gittel, Hans-Peter Local entropy conditions in transonic potential flow problems. 
92m:76079 

Li, Yuying see Conn, Andrew R., 92¢:41025 

Pukhnachev, V. V. see Baiocchi, Claudio, 92f:76030 

Révész, Szilard Gy. Some trigonometric extremal problems and duality. 92d:42002 

Shah, Jayant Properties of energy-minimizing segmentations. 92k:35007 

Visintin, Augusto see Anzellotti, G.; et al., 92a:82131 

Zalmai, G. J. Optimality conditions and duality for multiobjective measurable subset 
selection problems. 92c:90097 


49Kxx Necessary conditions and sufficient conditions for 
optimality 


Items with secondary classifications in 49Kxx 

Baturin, V. A. (with Dykhta, V. A.; Moskalenko, A. I.; et al.) * MeTogbi pemenusa 3aa4 
TeOpHH ypaBeHHA Ha OCHOBe NPHHWANa pacumpenua. (Russian) [Methods for solving 
problems in control theory on the basis of the extension principle] 92k:49004 

Dykhta, V. A. see Baturin, V. A.; et al., 92k:49004 

Kosmol, Peter * Optimierung und Approximation. (German) [Optimization and approxi- 
mation] 92m:49001 

Moskalenko, A.I. see Baturin, V. A.; et al., 92k:49004 


49K05 Free problems in one independent variable 


Bedel’baev, A. A. Necessary and sufficient conditions for a weak minimum of second order 
in a nonsmooth Bolza variational problem with phase constraints. (Russian) 92¢:49029 

Dacorogna, Bernard (with Gangbo, W.; Subia, N.) Sur une généralisation de l’inégalité 
de Wirtinger. (English summary) [On a generalization of the Wirtinger inequality] 
92m:49028 

Gangbo, W. see Dacorogna, Bernard; et al., 92m:49028 

Gregory, John! (with Lin, Cantian; Wang, Rong Sheng) Numerical extremal methods and 
biological models. 92b:49032 

Lin, Cantian see Gregory, John’; et al., 92b:49032 

Subia, N. see Dacorogna, Bernard; et al., 92m:49028 

Wang, Rong Sheng see Gregory, John; et al., 92b:49032 

Zeidan, Vera Sufficiency criteria via focal points and via coupled points. 92k:49033 


Items with secondary classifications in 49K05 

Forbes, G. W. On variational problems in parametric form. 92k:70021 

Hoskins, J. A. (with Hoskins, W. D.; Stanton, Ralph Gordon) The cardioid and a variation 
of the brachistochrone problem. 

Hoskins, W. D. see Hoskins, J. A.; et al. 

Kamath, S. G. Relativistic tautochrone. 92j:70019 

Kamenskii, G. A. On some necessary conditions of extrema of functionals with deviating 
argument. 92h:49020 

Mizel, Victor J. Developments in 1-dimensional calculus of variations affecting continuum 
mechanics. 92¢:49003 

Stanton, Ralph Gordon see Hoskins, J. A.; et al. 

Sychev, M. A. Regularity of solutions of some variational problems. (Russian) 92g:49036 





833 1992 


49K10 Free problems in two or more independent variables 


Cabuk, H. (with Modi, Vijay) Shape optimization analysis: first- and second-order 
necessary conditions. 92d:49032 

Garnaev, A. Yu. An optimal control problem. (Russian) (see 92i:49002) 

Guseinov, F. V. Extension of variational problems and necessary conditions for an 
extremum. (Russian. English and Azerbaijani summaries) 92a:49025 

Hadiji, Rejeb (with Lewandowski, Roger) The sign of Lagrange multiplier for some 
minimization problem. 92b:49033 

Klétzler, Rolf Uber eine Verallgemeinerung der Legendre-Had. dschen Bedingung 
auf restringierte Variationsprobleme. (English summary) [On a generalization of the 
Legendre-Hadamard condition to restricted variational problems] 92m:49029 

Leonetti, Francesco Maximum principle for vector-valued minimizers of some integral 
functionals. (Italian summary) 92a:49026 

Lewandowski, Roger see Hadiji, Rejeb, 92b:49033 

Modi, Vijay see Cabuk, H., 92d:49032 

Zhang, Ke Wei! Remarks on quasiconvexity and stability of equilibria for variational 
integrals. 92g:49017 

Items with secondary classifications in 49K10 

Aubert, G. Sur une équation quasilinéaire d’ordre 2 non elliptique. (English summary) [A 
second-order nonelliptic quasilinear equation] 92e:35041 

Barbu, Viorel (with Friedman, Avner) Optimal design of domains with free-boundary 
problems. 92a:49073 

Bobylév, N. A. (with Burman, Yu. M.) Morse lemmas for integral functionals. (Russian) 
92h:58047 

Burman, Yu. M. see Bobylév, N. A., 92h:58047 

Carbone, Luciano (with De Arcangelis, Riccardo) Further results on I'-convergence and 
lower semicontinuity of integral functionals depending on vector-valued functions. 
921:49023 

De Arcangelis, Riccardo Some remarks on the identity between a variational integral and its 
relaxed functional. (Italian summary) 92c:49008 

— see also Carbone, Luciano, 92i:49023 

De Giorgi, Ennio Free discontinuity problems in calculus of variations. 92i:49004 

E, Wei Nan A class of homogenization problems in the calculus of variations. 92h:49010 

Edelen, Dominic G. B. (with McKellar, R. J.) An alternative to the complete figure of 
Carathéodory. 92k:58009 

Friedman, Avner see Barbu, Viorel, 92a:49073 

Fusco, Nicola (with Sbordone, Carlo) Local boundedness of minimizers in a limit case. 
92b:49045 

Kamran, Niky (with Olver, Peter J.) Equivalence of higher order Lagrangians. I. Formula- 
tion and reduction. 92k:58071 

Kovalevskii, A. A. Conditions for I-convergence and averaging of integral functionals with 
different domains. (Russian. English summary) 92e:49015 

Marchi, Silvana A Wiener type criterion for weighted quasiminima. (Italian summary) 
92:49015 

McKellar, R. J. see Edelen, Dominic G. B., 92k:58009 

Olver, Peter J. see Kamran, Niky, 92k:58071 

Pankratov, L.S. Asymptotic behavior of solutions of variational problems in domains with 
“accumulators”. (Russian) 92k:49025 

Sbordone, Carlo see Fusco, Nicola, 92b:49045 

Sternberg, Peter Vector-valued local minimizers of nonconvex variational problems. 
92¢:49016 

Wang, Guang Yin Euler equations for parametric integrals. (Chinese) 92j:49041 

Zorii, N. V. Variational problems in potential theory. (Russian. Ukrainian summary) 
92£:31009 





49K15 Problems involving ordinary differential equations 


Agrachév, A. A. (with Gamkrelidze, R. V.) Quasi-extremality for controllable systems. 
(Russian) 92b:49034 

— (with Gamkrelidze, R. V.) The “time substitution” variation in optimal control. 
(Russian) 92¢:49030 

— (with Gamkrelidze, R. V.) Symplectic geometry and necessary conditions for optimality. 
(Russian) 92b:49036 

Avakov, E.R. First-order necessary conditions for abnormal problems in the calculus of 
variations. (Russian) 92j:49013 

Bel'tyukov, N. B. Constructive modification of the method of loaded functionals for solving 
terminal control problems with equality constraints on the right end of the trajectory. 
(Russian) (see 92i:49002) 

Bhakta, P.C. Optimization of functionals and application to differential equations. (see 
92f:00027) 

Bianchini, Rosa Maria High order variations of a reference trajectory. 92j:49014 

Bonnard, B. (with Kupka, Ivan A. K.) Time optimality of singular trajectories and feedback 
equivalence. 92j:49015 

Bressan, A., Jr. Nilpotent approximations and optimal trajectories. 92i:49035 

— (with Rampazzo, Franco) Impulsive control systems with commutative vector fields. 
92k:49034 

Bressan, Aldo On some control problems concerning the ski or swing. (Italian summary) 
92h:49017 

Cai, Chang Feng see Yao, Yun Long; et al. 

Chaudhuri, A. K. (with Mukherjee, Rathindra Nath?) Application of functional analysis to 
solve certain class of constrained time optimal control problems. III. 92a:49027 

Chilton, J.B. Maximum principle for the optimal control of systems with continuous leads. 
92i:49036 

Davis, J. H. see Harris, T. J. 

Davydov, A. A. Singularities in optimization problems. (Russian) 92m:49030 

Elliott, Robert James (with Kohimann, Michael; Macki, Jack W.) A proof of the minimum 
principle using flows. 92¢:49031 

Gabasov, R. (with Kirillova, F. M.; Kostyukova, O. 1.) An algorithm for optimizing 
nonlinear dynamical systems. (Russian) 92a:49028 


49K Necessary conditions and sufficient conditions for optimality 


49K15 


Gamkrelidze, R. V. see Agrachév, A. A., 92b:49034; 92b:49036 and 92e:49030 

Goebel, Manfred (with Raitums, Uldis) The Pontryagin minimum principle for a 
strongly nonlinear two-point b y value problem. (Russian and Polish summaries) 
92m:49031 

— (with Raitums, Uldis) On necessary optimality conditions for systems governed by a two- 
point boundary value problem. II. 92a:49029 

Gogodze, I. K. A necessary condition for optimality of the second order for control systems 
with a parameter. (Russian. English and Georgian summaries) 

Hajek, Otomar Bilinear control: rank-one inputs. 92j:49016 

Harris, T. J. (with Davis, J.H.) An iterative method for matrix spectral factorization. 

Hull, D. G. On the variational process in optimal control theory. 92a:49030 

— Sufficient conditions for a minimum of the free-final-time optimal control problem. 
92b:49037 

Jurdjevic, V. Optimal control problems on Lie groups. 92m:49032 

Kaskosz, B. (with Lojasiewicz, Stanislaw, Jr.) Boundary trajectories of systems with 
unbounded controls. 92k:49035 

Khamidulin, R. G. see Srochko, V. A., (92i:49002) 

Kirillova, F. M. see Gabasov, R.; et al., 92a:49028 

Klétzler, Rolf Extensions of Pontryagin’s maximum principle. (see 92i:93007) 

Kohimann, Michael see Elliott, Robert James; et al., 92e:49031 

Kostyukova, O.1. see Gabasov, R.; et al., 92a:49028 

Krut’ko, P. D. Optimization of control systems with respect to local functionals that 
characterize the energy of motion. (Russian) 92k:49036 

Kugelmann, Bernd Optimal guidance of dynamic systems. (see 92i:93007) 

Kupka, Ivan A. K. see Bonnard, B., 92j:49015 

Lasserre, Jean B. Decision horizon, overtaking and 1-optimality criteria in optimal control. 
(see 92c:90002) 

Lojasiewicz, Stanislaw, Jr. see Kaskosz, B., 92k:49035 

Macki, Jack W. see Elliott, Robert James; et al., 92¢:49031 

Mezentsev, A. V. (with Nikol/skii, M. S.) A problem on the control of composite systems 
with a fixed termination time. (Russian) 92d:49033 

Mirica, Stefan A class-room proof of Pontryagin’s minimum principle in optimal control. 
(see 92m:49004) 

Mukherjee, Rathindra Nath? see Chaudhuri, A. K., 92a:49027 

Nikol’skii, M.S. see Mezentsev, A. V., 924:49033 

Osmolovskii, N. P. Second-order conditions in a time-optimal control problem for linear 
system. (see 92i:93007) 

Pickenhain, Sabine (with Tammer, Klaus) Sufficient conditions for local optimality in 
multidimensional control problems with state restrictions. 92m:49033 

Raitums, Uldis see Goebel, Manfred, 922:49029 and 92m:49031 

Rampazzo, Franco see Bressan, A., Jr., 92k:49034 

Rowland, J.D. L. (with Vinter, R. B.) A maximum principle for free endtime optimal 
control problems with data discontinuous in time. 92¢:49032 

Sarychev, A. V. Nonlinear systems with impulsive and generalized function controls. 
92k:49037 

— Optimality of generalized (impulse) controls in a nonlinear time-optimality problem. 
(Russian) 92e:49033 

— High-order necessary conditions of optimality for nonlinear control systems. 92m:49034 

Silin, D. B. On discontinuous optimal control. (see 92d:93005) 

Srochko, V. A. (with Khamidulin, R.G.) An optimal method for variation of controls in 
phase linearization methods. (Russian) (see 92i:49002) 

Stefani, Gianna On maximum principles. 92j:49017 

— (with Zezza, Pier Luigi) Optimal control problems with mixed state-control constraints: 
necessary conditions. 92k:49038 

Tammer, Klaus see Pickenhain, Sabine, 92m:49033 

Tret'yak, A. I. Necessary conditions for optimality of odd order in the time-optimality 
problem. (Russian) 924:49034 

— Necessary conditions for optimality of odd order in a time-optimality problem for 
systems that are linear with respect to control. (Russian) 92¢:49034 

— Higher-order pointwise optimality conditions. (Russian) 92k:49039 

— Necessary conditions for optimality of even order in a time-optimality problem for a class 
of control systems. (Russian) 92g:49018 

Tsintsadze, Z. A. The extremality principle in a linear optimal control problem with mixed 
constraints. (Russian. English and Georgian summaries) 

Vakhrameev, S. A. Smooth controllable systems of constant rank and linearizable systems. 
(Russian) 92b:49035 

Vinter, R. B. see Rowland, J. D. L., 92e:49032 

Wang, Chung-Lie (with Wu, Yanan) Optimal control problems with nonstandard cost 
functionals. 92g:49019 

Warga, J. An extension of the Kaskosz maximum principle. 92a:49031 

Wu, Yanan see Wang, Chung-Lie, 92g:49019 

Yao, Yun Long (with Cai, Chang Feng) An equal-time method for time-optimal integral 
control systems. (Chinese. English summary) 

Zeidan, Vera (with Zezza, Pier Luigi) Normality for the problem of Bolza with an 
inequality state constraint. 92¢:49012 

— (with Zezza, Pier Luigi) Coupled points in optimal control theory. 92k:49040 

Zezza, Pier Luigi see Zeidan, Vera, 92c:49012; Stefani, Gianna, 92k:49038 and Zeidan, Vera, 
92k:49040 





Items with secondary classifications in 49K15 

Afanas‘ev, A. P. (with Dikusar, V. V.; Milyutin, A. A.; Chukanov, S. A.) * Heo6xonumoe 
yCOBHe B ONTHMaJIbHOM ynpaBsienun. (Russian) [A necessary condition in optimal 
control] 92i:49001 

Agrachév, A. A. (with Vakhrameev, S. A.) Morse theory and optimal control problems. 
92k:58069 

Barron, Emmanuel Nicholas The Pontryagin maximum principle for minimax problems of 
optimal control. 92b:49016 

Berdyshev, Yu. I. (with Yarosh, L.M.) Time-optimal control in a problem of going around 
a group of given points. (Russian) 92b:49056 

Boltyanskii, V.G. The maximum principle and relativity theory. (see 92i:93007) 





49K15 


Carlson, Dean A. (with Haurie, A.) * Infinite horizon optimal control. 92e:49001 

Chen, Guan Rong Closed-form solutions of a general inequality rained LQ optimal 
control problem. 92f:49012 

Chentsov, A. G. see Pak, V. E., 92i:93056 

Chukanov, S. A. see Afanas’ev, A. P.; et al., 92i:49001 

Davranov, B. E. see Gabasov, R., 92c:49018 

Dikusar, V. V. see Afanas’ev, A. P.; et al., 921:49001 

Gabasov, R. (with Davranov, B. E.) A problem of the optimization of a linear dynamical 
system in a class of relay controls. (Russian. English summary) 92¢:49018 

Goebel, Manfred (with Raitums, Uldis) Optimal control of two-point boundary value 
problems. (see 92i:93007) 

Hajek, Otomar * Control theory in the plane. 92b:93002 

Haurie, A. see Carlson, Dean A., 92¢:49001 

Hoang Xuan Phi Investigation of a macroeconomic model by the method of region analysis. 

Hocking, Leslie M. * Optimal control. 92d:49001 

Kamen’, V. B. (with Spivakovskii, V. B.) On an optimal control problem. (see 92m:49004) 

Khrustalev, M. M. Necessary and sufficient dynamic programming conditions for optimal 
control problem with state constraints. 92m:49048 

Kim, A. V. Periodic control of linear critical systems. (Russian) 922:49065 

Korobov, V.I. (with Sklyar,G.M.) On the set of positional bounded controls that solve the 
synthesis problem. (Russian) 92a:93048 

Kremlev, A.G. A problem of controlling a quasilinear system with uncertain initial 
conditions. (Russian) 92a:49045 

Loreti, Paola An optimal control problem with a final target. 92g:49027 

Megretskii, A. V. (with Yakubovich, V. A.) A singular stationary nonhomogeneous linear- 
quadratic problem of optimal control. (Russian) 92a:49063 

Milyutin, A. A. see Afanas’ev, A. P.; et al., 92i:49001 

Mirica, Stefan Some generalizations of the Bellman-Isaacs equation in deterministic 
optimal control. 92a:49050 

Pak, V. E. (with Chentsov, A.G.) A control problem with incomplete information. 
(Russian. English summary) 92i:93056 

Raitums, Uldis see Goebel, Manfred, (92i:93007) 

Rowland, J.D. L. (with Vinter, R.B.) Construction of optimal feedback controls. 
92¢:49030 

Shadwick, William F. On the geometry of the Lagrange problem. 924:58053 

Sklyar, G. M. see Korobov, V. I., 92a:93048 

Spivakovskii, V.B. see Kamen’, V. B., (92m:49004) 

Vakhrameev, S. A. see Agrachév, A. A., 92k:58069 

Vinter, R. B. see Rowland, J. D. L., 92c:49030 

Yakubovich, V. A. see Megretskii, A. V., 92a:49063 

Yarosh, L. M. see Berdyshev, Yu. I., 92b:49056 





49K20 Problems involving partial differential equations 


Acquistapace, P. (with Flandoli, Franco; Terreni, B.) Initial-boundary value problems and 
optimal control for nonautonomous parabolic systems. 92b:49038 

Anita, Sebastian? Optimal impulse-control of population dynamics with diffusion. (see 
92m:49004) 

Bergounioux, Maitine A penalization method for optimal control of elliptic problems with 
state constraints. 92k:49041 

Bermudez de Castro, Alfredo (with Martinez Varela, A.; Rodriguez-Fernandez, Celso) A 
point-control problem associated with the optimal placement of submarine conduits. 
(Spanish) 92a:49032 

— (with Martinez, Aurea) An application of optimal control theory to the sterilization of 
canned foods. (Spanish) 92a:49033 

Bonnans, Joseph Frédéric The Pontryagin principle for the control of elliptic systems with 
state constraints: the penalty method. (Spanish) 92f:49009 

— (with Tiba, Dan) Optimality conditions in the control of semilinear elliptic variational 
inequalities. (see 92m:49004) 

— (with Casas Renteria, Eduardo) Un principe de Pontryagine pour le contréle des systémes 
semilinéaires elliptiques. (English summary) [A Pontryagin principle for the control of 
semilinear elliptic systems] 924:49035 

Borisovich, Yu. G. (with Obukhovskii, V. V.) An optimization problem for control systems 
described by differential equations of parabolic type. (Russian) (see 92d:00006) 

Brokate, Martin (with Sprekels, Jiirgen) Optimal control of thermomechanical phase 
transitions in shape memory alloys: necessary conditions of optimality. 92c:49013 

Burdukovskii, A. N. On the solution of a problem on the control of the initial conditions of 
the Goursat-Darboux system. (Russian) (see 92i:49002) 

Carja, Ovidiu The minimal time function for the heat equation with boundary control. (see 
92m:93001) 

Casas Renteria, Eduardo (with Fernandez, Luis Alberto) Optimal control of quasilinear 
elliptic equations. (Spanish) 92k:49042 

— (with Fernandez, Luis Alberto) Optimal control of quasilinear elliptic equations with 
nondifferentiable coefficients at the origin. 92j:49018 

— see also Bonnans, Joseph Frédéric, 924:49035 

Celebi, A. Okay see Leblebicioglu, M. Kemal, 92j:49019 

Di Blasio, Gabriella Optimal control with infinite horizon for distributed parameter systems 
with constrained controls. 92¢:49014 

Dzhorbenadze, A. N. (with Tsutsunava, T. S.) Optimal control for a system described by an 
integro-partial differential equation. (Russian. English and Georgian summaries) 

Feng, De Xing see Zhang, Wei Tao, 92h:49018 

Fernandez, Luis Alberto see Casas Renteria, Eduardo, 92j:49018 and 92k:49042 

Flandoli, Franco see Acquistapace, P.; et al., 92b:49038 

Grabowski, Piotr On the spectral-Lyapunov approach to parametric optimization of 
distributed-parameter systems. 92a:49034 

Gunzburger, Max D. (with Hou, LiSheng; Svobodny, Thomas P.) Boundary velocity control 
of incompressible flow with an application to viscous drag reduction. 92k:49043 

Haslinger, Jaroslav see Panagiotopoulos, P. D., 92a:49037 

Hoffmann, Armin Pointwise optimality criteria for optimal control problems governed by 
integral state relations. II. 92i:49037 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


Hou, LiSheng see Gunzburger, Max D.; et al., 92k:49043 

Jensen, Soren S. (with Laitinen, Erkki Juhani; Neittaanmaki, Pekka; Seidman, Thomas I.) 
Computational stability of an initially radial solution of a growth/dissolution problem in 
a nonradial implementation. (see 92b:65009) 

Kampowsky, Winfried Optimal control in nonlinear evolution equations with constraints. 
(German and Russian summaries) 924:49036 

Kowalewski, Adam Optimality conditions for a parabolic time delay system. 92¢:49035 

— Optimal control of distributed parabolic systems involving time lags. 92a:49035 

Kuang, Zhi Feng see Wang, Mian Sen; et al., (92d:93004) 

Laitinen, Erkki Juhani see Jensen, Soren S.; et al., (92b:65009) 

Leblebicioglu, M. Kemal (with Celebi, A. Okay) An optimal control problem with nonlinear 
elliptic state equations. 92j:49019 

Li, Xun Jing (with Yong, Jiong Min) Necessary conditions for optimal control of 
distributed parameter systems. 92d:49037 

Lure, K. A. The extension of optimisation problems containing controls in the coefficients. 
92a:49036 

Miakela, Marko M. see Mannikké, Timo, (92b:65009) 

Mannikké, Timo (with Makela, Marko M.) Nonsmooth penalty techniques in control of the 
continuous casting process. (see 92b:65009) 

Martinez, Aurea see Bermudez de Castro, Alfredo, 92a:49033 

Martinez Varela, A. see Bermudez de Castro, Alfredo; et al., 92a:49032 

Matveev, A.S. Variational analysis in problems of the optimization of systems with 
distributed parameters, and vector-valued set functions. (Russian) 924:49038 

Montseny, G. Commande de syst¢mes 4 paramétres répartis: un exemple de probleme mal 
posé. (English summary) [Control of distributed-parameter systems: an example of an ill- 
posed problem] 92b:49039 

Moskalenko, A. I. Methods of mappings for classes of problems with optimal control by 
systems with distributed parameters. (see 92i:34003) 

Naval, E.S. Control of the thermophysical coefficients of a parabolic system. (Russian) 

Neittaanmaki, Pekka (with Tiba, Dan) Optimal control for state constrained two-phase 
Stefan problems. 92d:49039 

— see also Jensen, Soren S.; et al., (92b:65009) 

Obukhovskii, V. V. see Borisovich, Yu. G., (92d:00006) 

Ovsyannikov, D. A. On the problem of the control of a beam of interacting particles. 
(Russian) (see 92i:49002) 

poulos, P. D. (with Haslinger, Jaroslav) Optimal control of systems governed by 
hemivariational inequalities. 92a:49037 

Papageorgiou, Nikolaos S. A convergence result for a sequence of distributed-parameter 
optimal control problems. 92b:49040 

— Necessary conditions for optimality in a class of distributed parameter control systems 
with state constraints. (Serbo-Croatian summary) 92i:49038 

Razgulin, A. V. (with Shameeva, T. Yu.) Approximation and regularization of an optimal 
control problem for a nonlinear equation of Schrédinger type. (Russian) 92a:49038 

Rodriguez-Fernandez, Celso see Bermudez de Castro, Alfredo; et al., 92a:49032 

Sadek, I. S. Optimal control of time-delay systems with distributed parameters. 92a:49039 

Seidman, Thomas I. see Jensen, Soren S.; et al., (92b:65009) 

Serovaiskii, S. Ya. Necessary and sufficient conditions for optimality for a system described 
by a nonlinear elliptic equation. (Russian) 92j:49020 

Shameeva, T. Yu. see Razgulin, A. V., 92a:49038 

Shapovalov, A. V. see Tsurkov, V. I. 

Simon, Jacques Domain variation for drag in Stokes flow. 92m:49035 

Smyshlyaev, P. P. (with Suranchiev, A. Zh.) Singularly optimal control of the motion of a 
viscous weakly compressible fluid. (Russian) 92f:49010 

Sprekels, Jiirgen see Brokate, Martin, 92c:49013 

Sumin, V.I. Strong degeneration of singular controls in distributed problems of optimiza- 
tion. (Russian) 92m:49036 

Suranchiev, A. Zh. see Smyshlyaev, P. P., 92f:49010 

Svobodny, Thomas P. see Gunzburger, Max D.; et al., 92k:49043 

Szigeti, F. see Vera R., Carmen Elena, 92g:49020 

Terreni, B. see Acquistapace, P.; et al., 92b:49038 

Tiba, Dan see Neittaanmaki, Pekka, 92d:49039 and Bonnans, Joseph Frédéric, (92m:49004) 

Tréltzsch, F. Semigroup methods and approximation of nonlinear parabolic boundary 
control problems. (see 92i:93007) 

Tsurkov, V.1. (with Shapovalov, A. V.) Point control of systems with distributed parame- 
ters. (Russian) 

Tsutsunava, T.S. see Dzhorbenadze, A. N. 

Valadier, Michel Lipschitz approximation of the sweeping (or Moreau) process. 92i:49039 

Vera R., Carmen Elena (with Szigeti, F.) Time optimality of linear systems described by 
partial differential equations. 92g:49020 

Walczak, S. Optimality conditions for a Bolza problem governed by a hyperbolic system of 
Darboux-Goursat type. 92¢:49015 

Wang, Hui see Wang, Yu Wen; et al. 

Wang, Mian Sen (with Kuang, Zhi Feng; Zhu, Guang Tian) Optimal control for a class of 
systems and its applications in the power factor optimization of the nuclear reactor. (see 
92d:93004) 

Wang, Yu Wen (with Wang, Hui) Minimum norm control problems in Banach spaces. 
(Chinese. English summary) 

Yong, Jiong Min Optimal controls for distributed parameter systems with mixed con- 
straints. 92b:49041 

— (with Zhang, Ping Jian) Necessary conditions of optimal impulse controls for distributed 
parameter systems. 92m:49037 

— see also Li, Xun Jing, 924:49037 

Zhang, Ping Jian see Yong, Jiong Min, 92m:49037 

Zhang, Wei Tao (with Feng, De Xing) Analysis of the boundary singularity of a singular 
optimal control problem. 92h:49018 

Zhu, Guang Tian see Wang, Mian Sen; et al., (92d:93004) 


Items with secondary classifications in 49K20 
Amodei, L. (with Benbourhim, M. N.) A vector spline approximation. 92i:41012 





835 1992 


Avdonin, S. A. (with Belishev, M. 1; Ivanov, S. A.) Boundary control and an inverse matrix 
problem for the equation u;; — ux, + V(x)u=0.(Russian) 924:35293 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) Variational stability of infinite- 
dimensional optimal control problems. 92a:49017 

Barbu, Viorel (with Tiba, Dan) Boundary controllability of the coincidence set in the 
obstacle problem. 924:93020 

— see also Differential equations and control theory, 92m:49004 

Belbas, S. A. Dynamic programming and maximum principle for discrete Goursat systems. 
92k:49054 

Belfekih, A. (with El Jai, A.) Exacte Slabilité et dle optimal des systémes 
paraboliques. (English summary) [Exact controllability and optimal control of parabolic 
systems] 92c:93012 

Belishev, M.1. see Avdonin, S. A.; et al., 92d:35293 

Bello, Juan A. (with Fernandez Cara, Enrique) Geometric control, differentiation with 
respect to domains and applications (Navier-Stokes). (Spanish) 92d:49080 

Benbourhim, M. N. see Amodei, L., 92i:41012 

Bergounioux, Maitine A penalization method for the optimal control of a distributed elliptic 
problem with state constraints. (see 92m:49004) 

Bermudez de Castro, Alfredo (with Martinez, Aurea; Rodriguez, Carmen) Un probléme de 
contréle ponctuel lié 4 l’emplacement optimal d’émissaires d’évacuation sous-marins. 
(English summary) [A pointwise control problem related to the optimal design of a 
wastewater outfall] 92h:49044 

Bonnans, Joseph Frédéric (with Tiba, Dan) Pontryagin’s principle in the control of 
semilinear elliptic variational inequalities. 92a:49013 

Brislawn, Chris (with Rosen, I.G.) Wavelet based approximation in the optimal control of 
distributed parameter systems. 92g:49029 

Burger, J. (with Pogu, Marc) Functional and numerical solution of a control problem 
originating from heat transfer. 92c:49025 

Choe, Hi Jun (with Lewis, John L.) On the obstacle problem for quasilinear elliptic 
equations of p Laplacian type. 92b:35055 

Dean, Edward Jerome (with Gubernatis, P.) Pointwise control of Burgers’ equation—a 
numerical approach. 92i:65107 

Diaz Diaz, Jestis Ildefonso On the approximate controllability of nonlinear dissipative 
problems. (Spanish) (see 92a:93004) 

Dokuchaev, N. G. Solvability of equations that are analogues of Bellman equations in 
a problem of the control of diffusion processes with integral constraints and with 
incomplete feedback. (Russian) 924:49004 

El Jai, A. see Belfekih, A., 92c:93012 

Elliott, Robert James The optimal control of diffusions. 92b:49050 

Fang, Hui Zhong Variational problems and non-Dirichlet problems of quasilinear 
degenerate elliptic equations. 92h:35003 

Fernandez Cara, Enrique see Bello, Juan A., 92d:49080 

French, Donald A. (with King, J. Thomas) Approximation of an elliptic control problem by 
the finite element method. 92m:65144 

Friedman, Avner Optimal control for free boundary problems. 92a:49009 

Gasanov, Z. M. Approximate synthesis of an optimal control for distributed-parameter 
systems with incomplete and inaccurate measurements. (Russian. English summary) 
92£:93053 

Gatarek, Dariusz (with Sokolowski, Jan) Shape sensitivity analysis of optimal control 
problems for stochastic parabolic equations. 92h:49047 

Giuga, S. Feedback solution of a control problem for a parabolic operator of order 2m. 
92b:49066 

Gubernatis, P. see Dean, Edward Jerome, 92i:65107 

Haraux, Alain On a completion problem in the theory of distributed control of wave 
equations. 92k:93022 

— (with Jaffard, Stéphane) Pointwise and spectral control of plate vibrations. (French 
summary) 92j:93018 

Iliev, S.D. A modification of the method of local variations. (Russian) 92j:49030 

Ivanov, S. A. see Avdonin, S. A.; et al., 92d:35293 

Jaffard, Stéphane see Haraux, Alain, 92j:93018 

Kamyad, A. V. (with Rubio, J. E.; Wilson, D. A.) Optimal control of the multidimensional 
diffusion equation. 924:49005 

Kelley, C. T. (with Sachs, E. W.) Fast algorithms for compact fixed point problems with 
inexact function evaluations. 92i:65095 

King, J. Thomas see French, Donald A., 92m:65144 

Lewis, John L. see Choe, Hi Jun, 92b:35055 

Lions, Jacques-Louis Nonlinear sentinels for distributed systems. (Russian) 92a:49003 

Lubyshev, F. V. Approximation and regularization of optimal control problems for a 
nonselfadjoint elliptic equation with variable coefficients. (Russian) 92b:49055 

Martinez, Aurea see Bermudez de Castro, Alfredo; et al., 92h:49044 

Matrosov, V.M. Nonlinear analysis of the dy ics and control of complex systems with 
distributed parameters. (Russian) 92b:93004 

Mimura, Fumitake (with Néno, Takayuki) The inverse problem of Lagrangian dynamics in 
the multiple variational principle within the context of the calculus on differential forms. 
92h:58054 

(Mréz, Z.) see Optimal design and control of structures, 92b:49003 

Nambu, Takao On fractional powers of a class of elliptic differential operators with 
feedback boundary conditions. 92b:35028 

Néno, Takayuki see Mimura, Fumitake, 92h:58054 

Orudzhaliev, A. P. Numerical solution of a retrospective inverse problem in the mathemati- 
cal modeling of the heat conduction process. (Russian) 92¢:65110 

Owen, Nicholas C. Gradient theory of phase transitions with general singular perturbations. 
92j:49027 

Nikolaos S. Optimal control and relaxation of nonlinear elliptic systems. 
92i:49027 

— see also Avgerinos, Evgenios P., 92a:49017 

Pedersen, Michael Regularity of pointwise boundary control systems. 92k:35035 

Percivale, Danilo Uniqueness in the elastic bounce problem. II. 92j:58028 

(Petrushko, I. M.) see Lions, Jacques-Louis, 92a:49003 

Pogu, Marc see Burger, J., 92c:49025 








49K Necessary conditions and sufficient conditions for optimality 


49K24 


Potapov, M. M. (with Razgulin, A. V.) Difference methods in problems of the optimal 
control of the stationary self-action of light beams. (Russian) 92¢:49043 

Raitums, Uldis On the continuous dependence of solutions of semilinear elliptic equations 
upon parameters. (Russian and Latvian summaries) (see 92d:00013) 

Rao, Murali (with Sokolowski, Jan) Differential stability of solutions to parametric 
optimization problems. 92c:49022 

Rapotsevich, E. A. %* MaTemaTu4eckaad MOseNb 3a1a4H ONTHMH3al\HH opMBI O6sacTH. 
(Russian) [A mathematical model of a problem on the optimization of the shape of a 
region] 92c:49031 

Razgulin, A. V. see Potapov, M. M., 92¢:49043 

Rodriguez, Carmen see Bermudez de Castro, Alfredo; et al., 92h:49044 

Rogowski, Andrzej Necessary conditions for optimality in problems with hyperbolic partial 
differential equations. 92¢:35007 

Rosen, I. G. see Brislawn, Chris, 92g:49029 

Rubio, J. E. see Kamyad, A. V.; et al., 92d:49005 

Sachs, E. W. see Kelley, C. T., 92i:65095 

Sokolowski, Jan see Rao, Murali, 92c:49022; Gatarek, Dariusz, 92h:49047 and Optimal 
design and control of structures, 92b:49003 

Sritharan, S.S. Dynamic programming of the Navier-Stokes equations. 92g:49028 

Tiba, Dan * Optimal control of nonsmooth distributed parameter systems. 92a:49001 

— see also Bonnans, Joseph Frédéric, 92a:49013 and Barbu, Viorel, 924:93020 

Tolstykh, V. K. The gradient method for optimal control of distributed systems. (Russian) 
92¢:49042 

Triggiani, Roberto Regularity of some structurally damped problems with point control and 
with boundary control. 92k:35036 

Wilson, D. A. see Kamyad, A. V.; et al., 924d:49005 

Yong, Jiong Min (with Zheng, Song Mu) Feedback stabilization and optimal control for the 
Cahn-Hilliard equation. 92h:93077 

You, Yun Cheng Nonlinear optimal control and synthesis of thermal nuclear reactors. 
92b:49071 

Zheng, Song Mu see Yong, Jiong Min, 92h:93077 

Zhou, Yuan? Singular linear-quadratic optimal control of distributed parameter systems. 
(Chinese) 

Zhu, Hang Convex duality and generalized solutions in optimal control problem for stopped 
processes: the deterministic model. 92k:49074 


Items listed otherwise than by author 
Conference: 
Differential Equations and Control Theory * Differential equations and control theory. 
92m:49004 
Differential equations and control theory * Differential equations and control theory. 
92m:49004 
Iasi * Differential equations and control theory. 92m:49004 
Jabionna * Optimal design and control of structures. 92b:49003 
Optimal design and control of structures * Optimal design and control of structures. 
92b:49003 
Symposium: 
Optimal Design and Control of Structures * Optimal design and control of structures. 
92b:49003 


49K22 Problems involving integral equations 


Dibrov, B. F. see Gelfand, E. V.; et al., (92a:35004) 

Gelfand, E. V. (with Dibrov, B. F.; Zhabotinskii, A. M.; Neifakh, Yu. A.; Orlova, M. P.) 
Investigation of solutions of a class of integro-differential equations. (Russian) (see 
92a:35004) 

Goebel, Manfred (with Oestreich, D.) Optimal control of a nonlinear singular integral 
equation arising in electrochemical machining. (German and Russian summaries) 
92m:49038 

Neifakh, Yu. A. see Gelfand, E. V.; et al., (92:35004) 

Oestreich, D. see Goebel, Manfred, 92m:49038 

Orlova, M. P. see Gelfand, E. V.; et al., (92a:35004) 

Schmidt, Werner H. Necessary optimality conditions for special integral processes. (Polish 
summary) 92d:49040 

Zhabotinskii, A.M. see Gelfand, E. V.; et al., (92a:35004) 


Items with secondary classifications in 49K22 

Cabuk, H. (with Modi, Vijay) Shape optimization analysis: first- and second-order 
necessary conditions. 92d:49032 

Modi, Vijay see Cabuk, H., 92d:49032 


49K24 Problems involving differential inclusions 


Aseev, S. M. Smooth approximations of differential inclusions and the time-optimality 
problem. (Russian) 92m:49039 

Davideanu, Catalina Control problems governed by a multivalued differential equation. (see 
92m:49004) 

Komarov, V. A. Necessary and sufficient conditions for optimality in a time-optimality 
problem with phase constraints. (Russian) 92b:49042 

Makhmudov, E. N. Problems on the extremum for discrete and differential inclusions with 
distributed parameters of hyperbolic type. (Russian. Ukrainian summary) 92¢:49016 

— A sufficient condition for optimality for convex differential inclusions with distributed 
parameters, and duality. (Russian) 92j:49021 

— Optimization of differential inclusions with a phase constraint, and duality. (Russian) 
92k:49044 

Minchenko, L. I. Derivatives of multivalued mappings and the maximum principle for 
differential inclusions. (Russian) 92j:49022 

— A problem for the optimal control of differential inclusions. (Russian. English summary) 
92m:49040 





49K24 


Plotnikov, A. V. (with Plotnikova, L. I.) Two problems of encounter under conditions of 
uncertainty. (Russian) 92m:49041 

Plotnikova, L. I. see Plotnikov, A. V., 92m:49041 

Smirnov, G. V. Discrete approximations and optimal solutions of differential inclusions. 
(Russian. English and Ukrainian summaries) 92h:49019 


Items with secondary classifications in 49K24 

Finogenko, I. A. Functional-differential inclusions on closed subsets. (Russian) 92g:34085 

Ivanov, R. P. Stable graphs of multi-functions in conflict controlled systems. 92i:90128 

Makhmudov, E. N. Sufficient conditions for optimality on a nonfixed time interval for 
differential inclusions with delay, and duality. (Russian) 92i:49041 

Moussaoui, Mohammed Approximations lipschitziennes de multifonctions. Application 
aux conditions nécessaires d’optimalité. [Lipschitz approximations of multifunctions. 
Application to necessary conditions of optimality] 92g:49022 

Ndoutoume, James Louis Optimality conditions for control problems governed by 
variational inequalities. 924:49014 

Polovinkin, E.S. The properties of continuity and differentiation of solution sets of 
Lipschitzean differential inclusions. 92h:34040 


49K25 Problems involving equations with retarded arguments 
[see also 34K35] 


Beklaryan, L. A. An optimal control problem for systems with deviating argument and 
its connection with the finitely generated group of homeomorphisms R generated by 
deviation functions. (Russian) 92¢:49017 

Buldaev, A.S. * UncneHHbI MeTOX ONTHMH3al[HH yOpaBsIeHHA B CHCTeMaX C 3alla3bIBa- 
HuaMH. (Russian) [A numerical method for the optimization of control in systems with 
delays] 92g:49021 

Dvalishvili, F. A. Some problems in the qualitative theory of optimal control with 
distributed delay. (Russian. English and Georgian summaries) 

Kamenskii, G. A. On some necessary conditions of extrema of functionals with deviating 
argument. 92h:49020 

Lee, E. Bruce Optimal control of linear hereditary systems. 92i:49040 

Makhmudov, E. N. Sufficient conditions for optimality on a nonfixed time interval for 
differential inclusions with delay, and duality. (Russian) 92i:49041 

Panteleev, A. V. Sufficient conditions for optimality for continuous stochastic control 
systems on the basis of an incomplete state vector. (Russian) 92a:49040 

Rosenblueth, Javier F. Systems with time delay in the calculus of variations: the method of 
steps. 92a:49041 

Yanushevskii, R. T. Optimal control of differential-difference systems with intragroup 
symmetry. 92m:49042 


Items with secondary classifications in 49K25 


Andreeva, E. A. Sufficient optimality conditions for a discontinuous optimal control 
problem with delay. (Russian. English summary) 92¢:34092 

Buldaev, A. S. * Uncnenubie anropaTMbI ONTHMH3AallHH B 3afla4ax yNpaBsIeHHA [Is CHCTeM C 
3aNa3bIBaHHAMH. (Russian) [Numerical optimization algorithms in control problems for 
systems with delays] 92i:34111la 

— * AnropuTM oOnTHM#3alHH ynpaBseHusa Koe6aHHAMH B CHCTeMaX C 3al1a31bIBaHHAMH. 
(Russian) [An algorithm for the optimization of the control of oscillations in systems 
with delays] 92i:34111b 

Clarke, F.H. (with Wolenski, P. R.) The sensitivity of optimal control problems to time 
delay. (French summary) 924:49045 

Datta, K. B. Invertibility of linear systems described by differential-difference equations. 
92:93064 

Dvalishvili, F. A. On the continuity of the minimum of a functional in a nonlinear optimal 
control problem with distributed delay. (Russian. English and Georgian summaries) 
922:49046 

Emel'yanov, S. V. (with Korovin, S. K.; Mamedov, I. G.; Nosov, A. P.) Asymptotic 
invariance of control systems with delay. (Russian) 92d:93100 

Grecksch, W. e-optimal control of random parabolic differential equations by an elliptic 
approximation. 924:93121 

Ha, Jian Sheng see Yang, Cheng Wu; et al., 92h:49032 

Kappel, F. Approximation of LQR-problems for delay systems: a survey. 92j:49001 

Kharatishvili, G. L. (with Tadumadze, T. A.) Regular perturbations in optimal control 
problems with variable delays and free right end. (Russian) 92h:49024 

Korovin, S. K. see Emel’yanov, S. V.; et al., 92d:93100 

Kowalewski, Adam Optimality conditions for a parabolic time delay system. 92¢:49035 

Mamedov, I. G. see Emel’yanov, S. V.; et al., 92d:93100 

Metel’skii, A. V. Kalman duality in the theory of the control of dynamical differential- 
difference systems. (Russian. English summary) 92c¢:93018 

Nguyén Khoa So’n Approximate controllability with positive controls for linear retarded 
systems: a discrete-time approach. (see 92i:93007) 

Nosov, A. P. see Emel’yanov, S. V.; et al., 92d:93100 

Sinha, A.S.C. Stabilization of large-scale nonlinear infinite delay systems. 92a:93096 

Tadumadze, T. A. see Kharatishvili, G. L., 92h:49024 

Tao, Gang Model reference adaptive control of multivariable plants with delays. 

Tran, Hien T. Numerical studies of the linear-uadratic control problem for retarded systems 
with delay in control. (see 92g:93006) 

Wang, Huan Chen (with Zhang, Chun Shu) A Walsh transformation algorithm for 
optimization problems for continuously distributed time-delay systems. (Chinese. English 
summary) 924:49062 

Wolenski, P. R. see Clarke, F. H., 92d:49045 

Yang, Cheng Wu (with Hu, Jian Sheng) Walsh series analysis of multidelay linear systems. 
(Chinese. English summary) 92h:49032 

Zhang, Chun Shu see Wang, Huan Chen; et al., 92d:49062 


49K27 Problems in abstract spaces [See 90C48, 93C25] 


Abramov, A. P. Necessary conditions for an extremum in a space with a measure. (Russian) 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


92a:49042 

Arutyunov, A. V. Higher-order conditions in abnormal extremal problems with equality-type 
constraints. (Russian) 924:49041 

— Necessary conditions for an extremum in an abnormal problem with equality constraints. 
(Russian) 92b:49043 

Brodskii, Yu. I. Investigation of a convex problem for an extremum in reflexive Banach 
spaces. (Russian) 92a:49043 

Chavent, Guy Quasi-convex sets and size x curvature condition, application to nonlinear 
inversion. 92i:49042 

— New size x curvature conditions for strict quasiconvexity of sets. 92k:49045 

Dykhta, V. A. A class of optimal control problems with the Stieltjes integral criterion and 
phase constraints. (Russian) (see 92i:49002) 

Gozzi, Fausto Some results for an optimal control problem with semilinear state equation. 
92d:49042 

Ha, Ying see Peng, Shi Ge; et al., 92h:49022 

Tonescu, Ioan R. (with Rosca, Ioan) Sobolev solutions for convex variational problems in 
locally convex spaces. (see 92m:49004) 

Kampowsky, Winfried Time-optimal control in nonlinear evolution equations. (see 
92i:93007) 

Ledzewicz-Kowalewska, Urszula Optimality and Pareto optimality conditions for the 
problems with nonregular operator equality constraints. 92h:49021 

Li, Xun Jing Optimal control for infinite-dimensional systems. (see 92d:93004) 

Moussaoui, Mohammed Approximations lipschitziennes de multifonctions. Application 
aux conditions nécessaires d’optimalité. [Lipschitz approximations of multifunctions. 
Application to necessary conditions of optimality] 92g:49022 

Papageorgiou, Nikolaos S. On infinite-dimensional control systems with state and control 
constraints. 92b:49044 

Pellegrini, L. On a Lagrangian sufficient optimality condition. 92g:49023 

Peng, Shi Ge (with Hu, Ying) Maximum principle for semilinear stochastic evolution 
systems. 92h:49022 

Rosca, Ioan see Ionescu, Ioan R., (92m:49004) 

Strekalovskii, A.S. Conditions for the global extremum in a nonconvex minimization 
problem. (Russian) 92g:49024 

Sukhinin, M. F. Lower semi-Taylor mappings and sufficient conditions for an extremum. 
(Russian) 92h:49023 

Ursescu, Corneliu A view about some tangency concepts. (see 92m:49004) 

Wang, Yu Wen Some time optimal control problems in nonreflexive Banach spaces. 
92d:49043 


Items with secondary classifications in 49K27 

Ahmed, N. U. Computer aided design of optimal regulators and filters with constraints. 
92j:49034 

Azé, D. (with Penot, Jean-Paul) Operations on convergent families of sets and functions. 
92b:49022 

Breckner, Wolfgang W. Generalized quasiconvex functions. 92j:26012 

Carnicer, J. M. On best constrained interpolation. 92m:41008 

Carriero, Michele (with Leaci, Antonio) S*-valued maps minimizing the L?-norm of the 
gradient with free discontinuities. 92m:49005 

Chentsov, A. G. On the asymptotic equivalence of relaxations of extremal problems. 
(Russian) 92i:49024 

Datko, R. Some spectral solutions for a class of LQR problems. 92i:49051 

D6 Van Lu’u Sufficient optimality conditions for discrete minimax probl 
of constraints in Banach spaces. 92c:49020 

Emirsajiow, Zbigniew A unified approach to optimal feedback in the infinite-dimensional 
linear-quadratic control problem with an inequality constraint on the trajectory or 
terminal state. 92m:49057 

Ferone, Vincenzo (with Posteraro, M. Rosaria) Maximization on classes of functions with 
fixed rearrangement. 92i:90118 

Gwinner, Joachim see Jeyakumar, Vaithilingam, 92e:49011 

Jeyakumar, Vaithilingam (with Gwinner, Joachim) Inequality systems and optimization. 
92e:49011 

Kawasaki, Hidefumi Second order necessary optimality conditions for minimizing a sup- 
type function. 92b:49048 

Kolomy, Josef Resolvents and selections of accretive mappings in Banach spaces. 
92b:47085 

Lai, Han Ch’ing Optimality conditions for Lipschitz functions on Banach spaces. 
92g:49014 

Leaci, Antonio see Carriero, Michele, 92m:49005 

Ling, Yong Yong An extremum theory of the residual functional in Sobolev spaces W™?(Q). 
(Chinese. English summary) 

Mei, Jia Liu Theorems of the alternative for cone-convex set-valued mapping. 92k:90080 

Nowakowski, Andrzej (with Zakrzewska, Danuta) Remarks on convex functions. (Russian 
and Polish summaries) 92k:90121 

Panagiotopoulos, P. D. Optimal control of systems governed by hemivariational inequali- 
ties. Necessary conditions. 92d:49015 

Papageorgiou, Nikolaos S. On the dependence of the solutions and optimal solutions of 
control problems on the control constraint set. 92k:49052 

Pavienko, V. N. Semiregular solutions of elliptic variational inequalities with discontinuous 
nonlinearities. (Russian. Ukrainian summary) 924:49017 

Pellegrini, L. An extension of the Hestenes necessary condition. 92d:49027 

Penot, Jean-Paul see Azé, D., 92b:49022 

Posteraro, M. Rosaria see Ferone, Vincenzo, 92i:90118 

Thierfelder, Jorg Nonvertical affine manifolds and separation theorems in product spaces. 
92g:90142 

Vakhrameev, S. A. Smooth controllable systems of constant rank and linearizable systems. 
(Russian) 92b:49035 

Viadimirov, A. A. Nonstationary dissipative evolution equations in a Hilbert space. 
92h:47099 

Zakrzewska, Danuta see Nowakowski, Andrzej, 92k:90121 





in the p 





837 1992 


49K30 Optimal solutions belonging to restricted classes 


Borisov, V. F. see Zelikin, M. I., 92j:49023 

Camino, Eduardo (with Rojo, Oscar) A sufficient condition for the differentiable optimal 
solution for a problem of Bellman. 92m:49043 

Carlson, Dean A. Sufficient conditions for optimality and supported trajectories for optimal 
control problems governed by Volterra integral equations. (see 92c:90002) 

Davranov, B. E. see Gabasov, R., 92c:49018 

Dykhta, V. A. Impulse-trajectory extension of degenerated optimal control problems. (see 
92i:34003) 

Fusco, Nicola (with Sbordone, Carlo) Local boundedness of minimizers in a limit case. 
92b:49045 

Gabasov, R. (with Davranov, B. E.) A problem of the optimization of a linear dynamical 
system in a class of relay controls. (Russian. English summary) 92c:49018 

Jennings, Leslie S. see Teo, Kok Lay, 92c:49019 

Khailov, E. N. On the interval of existence of switching times in a linear time-optimality 
problem. (Russian) 92k:49046 

Kripfganz, Anita Inpolygons of minimal diameter. 92k:49047 

Leung, Siu Fai Transversality condition and optimality in a class of infinite horizon 
continuous time economic models. 92b:49046 

Moiseev, A. A. Optimal control under discrete control actions. (Russian) 92k:49048 

Rampazzo, Franco Optimal impulsive controls with a constraint on the total variation. (see 
924:93006) 

Rempaia, Ryszarda Impulsive control problems. (see 92i:93007) 

Rojo, Oscar see Camino, Eduardo, 92m:49043 

Sbordone, Carlo see Fusco, Nicola, 92b:49045 

Studniarski, Marcin The discrete maximum principle as a sufficient optimality condition. 
(Russian summary) 92i:49043 

Teo, Kok Lay (with Jennings, Leslie S.) Optimal control with a cost on changing control. 
92¢:49019 

Tolstonogov, A. A. Extremal selectors of multivalued mappings and the “bang-bang” 
principle for evolution inclusions. (Russian) 92f:49011 

Vashkov, I.O. Time-optimality problems for distant targets. (Russian) 92a:49044 

Voevoda, A. A. Optimal everywhere singular control. (Russian) 92k:49049 

Zelikin, M.1I. (with Borisov, V. F.) Regimes of frequent switchings in optimal control 
problems. (Russian) 92j:49023 


Items with secondary classifications in 49K30 

Kampowsky, Winfried Optimal control in nonlinear evolution equations with constraints. 
(German and Russian summaries) 924:49036 

Matveenko, V. D. An effective functional and a turnpike in models of economic dynamics. 
(Russian. English and Lithuanian summaries) 92h:90023 

Pelczewski, Jerzy Computation of the time-optimal control for some linear systems subject 
to disturbances. (Russian and Polish summaries) 92i:49049 

Sarychev, A. V. Optimality of generalized (impulse) controls in a nonlinear time-optimality 
problem. (Russian) 92¢:49033 


49K35 Minimax problems 


Arutyunov, A. V. (with Zerkalov, L. G.; Silin, D. B.) First- and second-order necessary 
conditions in a minimax problem of optimal control. (Russian) 92b:49047 

D6 Van Lu’u Sufficient optimality conditions for discrete minimax problems in the presence 
of constraints in Banach spaces. 92c:49020 

Grzybowski, A. Minimax control of a system with actuation errors. 92k:49050 

Kawasaki, Hidefumi Second order necessary optimality conditions for minimizing a sup- 
type function. 92b:49048 

Krasovskii, A. N. Minimax control of an integral functional. (Russian) 92m:49044 

Kremlev, A.G. A problem of controlling a quasilinear system with uncertain initial 
conditions. (Russian) 92a:49045 

Mond, B. see Weir, T., 92j:49024 

Preda, Vasile On minmax programming problems containing n-set functions. 92c:49021 

Silin, D. B. see Arutyunov, A. V.; et al., 92b:49047 

Tigan, Stefan On a quasimonotonic max-min problem. 92m:49045 

Weir, T. (with Mond, B.) Sufficient optimality conditions and duality for a pseudoconvex 
minimax problem. 92j:49024 

Zerkalov, L.G. see Arutyunov, A. V.; et al., 92b:49047 


Items with secondary classifications in 49K35 


Aliev, V.S. (with Kononenko, A. F.) * TouHoe arperuposaHue B TeOpeTHKO-HIPOBbIX 
Mogensax. (Russian) [Exact aggregation in game-theoretic models] 924:90135 

Bityutskikh, V.T. A minimax problem of allocating attack and defense means. I. (Russian) 

Bulirsch, Roland (with Montrone, F.; Pesch, Hans Josef) Abort landing in the presence of 
windshear as a minimax optimal control problem. I. Necessary conditions. 92¢e:49049 

— (with Montrone, F.; Pesch, Hans Josef) Abort landing in the presence of windshear as a 
minimax optimal control problem. II. Multiple shooting and homotopy. 92¢:49050 

Dem‘yanov, V. F. A second-order method in minimax problems. (Russian. English 
summary) 92h:90114 

Ding, Xie Ping Intersection theorems concerning noncompact sets with H-convex sections 
and their applications. (Chinese. English summary) 92f:54040 

Dzhebran, Dzh. Minimax-module problems of piecewise-linear programming. (Russian) 
92d:90049 

Godonoga, A. F. Stochastic schemes for finding the minimax. (Russian) 92f:90044 

Guillerme, Jean Les inégalités “Inf-Sup < Sup-Inf”. (English summary) [The inequalities 
“Inf-Sup < Sup-Inf”] 92j:47136 

Higgins, J. E. see Polak, Elijah; et al., 92m:90049 

Kononenko, A. F. see Aliev, V. S., 92d:90135 

Lai, Han Ch’ing Inequality systems and optimization for set functions in ordered vector 
spaces. 92k:90076 

Lin, Bor-Luh (with Quan, Xiu Chi) A two functions symmetric nonlinear minimax 
theorem. 92¢:49012 

Mayne, David Q. see Polak, Elijah; et al., 92m:90049 


49K Necessary conditions and sufficient conditions for optimality 


Montrone, F. see Bulirsch, Roland; et al., 92¢:49049 and 92e:49050 

Pesch, Hans Josef see Bulirsch, Roland; et al., 92e:49049 and 92e:49050 

Polak, Elijah (with Mayne, David Q.; Higgins, J. E.) On the extension of Newton’s method 
to semi-infinite minimax problems. 92m:90049 

Quan, Xiu Chi see Lin, Bor-Luh, 92e:49012 

Sattarov, R. N. A method for determining a minimax in the presence of constraints. 
(Russian) 92i:90099 

Simons, Stephen Another general minimax theorem. (French summary) 92k:49014 

— Minimax theorems with staircases. 92i:49012 

— An unreal generalization of Terkelsen’s minimax theorem. 92i:49013 

Wang, Ti Xiang A minimax principle without differentiability. 92h:49016 


49K40 Sensitivity of optimal solutions in the presence of 
perturbations 


Alt, Walter Parametric optimization with applications to optimal control and sequential 
quadratic programming. 92¢:49036 

Bardi, Martino (with Sartori, Caterina) Approximation and regular perturbation of optimal 
control problems via Hamilton-Jacobi theory. 92k:49051 

Bogataj, L. The estimation of the influence of uncertain delay in the control on the objective 
function. (Serbo-Croatian summary) 924:49044 

Cannarsa, Piermarco (with Frankowska, Halina) Some characterizations of optimal 
trajectories in control theory. 92j:49025 

Clarke, F. H. (with Wolenski, P. R.) The sensitivity of optimal control problems to time 
delay. (French summary) 924:49045 

Colonius, Fritz (with Kunisch, Karl) Stability of perturbed optimization problems with 
applications to parameter estimation. 92¢:49037 

Dvalishvili, F. A. On the continuity of the minimum of a functional in a nonlinear optimal 
control problem with distributed delay. (Russian. English and Georgian summaries) 
922:49046 

Frankowska, Halina see Cannarsa, Piermarco, 92j:49025 

Gnevko, S. V. (with Kalinin, A. I.) Asymptotic optimization of nonlinear regularly 
perturbed control systems. (Russian) 92j:49026 

Kabanov, Yu. M. (with Pergamenshchikov, S. M.) Optimal control of singularly perturbed 
stochastic linear systems. 92¢:49038 

Kalinin, A. I. An asymptotic method for constructing optimal controls with singular 
intervals. (Russian) 924:49046 

— see also Gnevko, S. V., 92j:49026 

Kharatishvili, G. L. (with Tadumadze, T. A.) Regular perturbations in optimal control 
problems with variable delays and free right end. (Russian) 92h:49024 

— (with Tadumadze, T. A.) Continuity of the minima of a functional and its application to 
the approximate solution of an optimal problem that is linear with respect to the control. 
(Russian. English and Georgian summaries) 

Komkov, Vadim Comments on sensitivity conservation laws. (see 92m:00060) 

Kunisch, Karl see Colonius, Fritz, 92e:49037 

Kurina, G. A. On the passage to the limit in two singularly perturbed optimal control 
problems. (Russian) 924:49047 

Lasiecka, Irena (with Sokolowski, Jan) Sensitivity analysis of optimal control problems for 
wave equations. 924:49048 

Malanowski, Kazimierz Stability and sensitivity analysis of discrete optimal control 
problems. (Russian summary) 924:49049 

— Second-order conditions and constraint qualifications in stability and sensitivity analysis 
of solutions to optimization problems in Hilbert spaces. 92g:49025 

Owen, Nicholas C. Gradient theory of phase transitions with general singular perturbations. 
92j:49027 

Papageorgiou, Nikolaos S. On the dependence of the solutions and optimal solutions of 
control problems on the control constraint set. 92k:49052 

— Sensitivity analysis of evolution inclusions and its applications to the variational stability 
of optimal control problems. 92m:49046 

Patrone, Fioravante (with Revalski, Julian) Constrained minimum probl for p ders: 
Tikhonov and Hadamard well-posedness. (Italian summary) 92i:49044 

Pergamenshchikov, S. M. see Kabanov, Yu. M., 92¢:49038 

Pesch, Hans Josef Optimal control problems under disturbances. (see 92i:93007) 

Rao, Murali (with Sokolowski, Jan) Differential stability of solutions to parametric 
optimization problems. 92¢:49022 

Revalski, Julian see Patrone, Fioravante, 92i:49044 

Sartori, Caterina see Bardi, Martino, 92k:49051 

Sokolowski, Jan see Rao, Murali, 92c:49022 and Lasiecka, Irena, 92d:49048 

Sorger, Gerhard Local stability of stationary states in discounted optimal control systems. 
92j:49028 

Stefani, Gianna Regularity properties of the minimum-time map. 92h:49025 

Tadumadze, T. A. see Kharatishvili, G. L., 92h:49024 

Tagainazarov, S. Optimization of a continuous control system under conditions of 
uncertainty. (Russian) 92a:49047 

Wolenski, P. R. see Clarke, F. H., 92d:49045 

Zaremba, Leszek S. Linear time-invariant control problems with perturbations. 92a:49048 

Zhou, Xun Yu Maximum principle of stochastic controlled systems of functional type. 
92i:49045 





Items with secondary classifications in 49K40 


Abed, Eyad H. see Saydy, L.; et al. 

Alt, Walter Stability for parameter estimation in two-point boundary value problems. 
92b:93074 

Andreini, A. On the regular approximation of the linear time optimal problem. 92h:49033 

Auslender, A. (with Cominetti, R.) A comparative study of multifunction differentiability 
with applications in mathematical programming. 92c:49010 

Avgerinos, Evgenios P. (with Papageorgiou, Nikolaos S.) On the sensitivity and relaxability 
of optimal control problems governed by nonlinear evolution equations with state 
constraints. 92h:49003 





49K40 


Baumeister, Johann (with Kunisch, Karl) Identifiability and stability of a two-parameter 
estimation problem. 92a:49069 

Bonnans, Joseph Frédéric (with Launay, G.) On the stability of sets defined by a finite 
number of equalities and inequalities. 92f:90067 

Cellina, Arrigo (with Staicu, Vasile) Well posedness for differential inclusions on closed 
sets. 92f:34012 

Chentsov, A. G. On the construction of solution to nonregular problems of optimal control. 
(Russian summary) 92k:49021 

— see also Pak, V. E., 92i:93056 

Chiadd Piat, Valeria Convergence of minima for nonequicoercive functionals and related 
problems. 92g:49008 

Cho, Hsun-Jung see Friesz, Terry L.; et al., 92e:90075 

Cominetti, R. see Auslender, A., 92c:49010 

Fischer, Thomas Strong unicity and alternation for linear optimization. 92¢:90099 

Friesz, Terry L. (with Tobin, Roger L.; Cho, Hsun-Jung; Mehta, Nihal J.) Sensitivity 
analysis based heuristic algorithms for mathematical programs with variational inequality 
constraints. 92e:90075 

Gajic, Zoran see Qureshi, Muhammad T-.; et al. 

Gong, Lin Guo Global stability result for the generalized quasivariational inequality 
problem. 92j:90078 

Gowda, M. Seetharama (with Pang, Jong-Shi) On solution stability of the linear comple- 
mentarity problem. 92k:90101 

Gozzi, Fausto Some results for an optimal control problem with semilinear state equation. 
92d:49042 

Hindi, K.S. see Jiang, C. Q.; et al., 92e:93052 

Ivanov, A.G. Controllability of a nonlinear system in a class of generalized controls. 
(Russian) 92a:93020 

Jiang, C.Q. (with Singh, M. G.; Hindi, K. S.) A new method of extended perturbation 
analysis. 92e:93052 

Jongen, Hubertus Th. (with Klatte, Diethard; Tammer, Klaus) Implicit functions and 
sensitivity of stationary points. 92i:90101 

Klatte, Diethard see Jongen, Hubertus Th.; et al., 92i:90101 

Kruglikov, S. V. On the separation principle in guaranteed control. 92j:93048 

Kunisch, Karl see Baumeister, Johann, 92a:49069 

Kurzhanskii, A. B. (with Pshenichnyi, B. N.; Pokotilo, V.G.) Optimal inputs for guaran- 
teed identification. (Russian summary) 924:93031 

Launay, G. see Bonnans, Joseph Frédéric, 92f:90067 

Mandy, David M. Continuity of optima. 92i:90102 

Markechko, M.I. (with Rybashov, M. V.) Optimization of a quasistationary regime in 
nonlinear systems using singularly perturbed equations. (Russian) 92a:93049 

Mehta, Nihal J. see Friesz, Terry L.; et al., 92e:90075 

Montseny, G. Commande de systémes a paramétres répartis: un exemple de probléme mal 
posé. (English summary) [Control of distributed-parameter systems: an example of an ill- 
posed problem] 92b:49039 

Naselli Ricceri, Ornella A theorem on the controllability of perturbated linear control 
systems. (Italian summary) 92k:93027 

Noor, Muhammad Aslam General algorithm and sensitivity analysis for variational 
inequalities. 92k:49018 

Ovseevich, A. I. Limit behaviour of attainable and superattainable sets. 92k:93018 

Owen, Nicholas C. (with Sternberg, Peter) Nonconvex variational problems with aniso- 
tropic perturbations. 92¢:49009 

Pak, V.E. (with Chentsov, A.G.) A control problem with incomplete information. 
(Russian. English summary) 92i:93056 

Pang, Jong-Shi see Gowda, M. Seetharama, 92k:90101 

Papageorgiou, Nikolaos S. A minimax optimal control problem for evolution inclusions. 
92k:49013 

— see also Avgerinos, Evgenios P., 92h:49003 

Patrone, Fioravante Well-posed minimum problems for preorders. 924:49022 

Penot, Jean-Paul (with Volle, Michel) Topological stability results about approximate 
solutions of parametrized minimization problems. 92j:49005 

Pokotile, V.G. see Kurzhanskii, A. B.; et al., 92d:93031 

Pshenichnyi, B. N. see Kurzhanskii, A. B.; et al., 92d:93031 

Qiu, Yuping Solution properties of oligopolistic network equilibria. 92f:90023 

Qureshi, Mehammad T. (with Shen, Xuemin; Gajic, Zoran) Optimal output feedback 
control of discrete linear, singularly perturbed, stochastic systems. 

Riahi, Hassan Stability results for optimization problems relatively to epigraphic distance. 
Application to nonlinear programming. 92i:90103 

van Rooyen, M. (with Zlobec, S.) A complete characterization of optimal economic systems 
with respect to stable perturbations. (Serbo-Croatian summary) 92b:90209 

Rybashov, M. V. see Markechko, M. I., 92a:93049 

Saydy, L. (with Tits, André L.; Abed, Eyad H.) Comments on: “Invariance of the aperiodic 
property for polynomials with perturbed coefficients” [IEEE Trans. Automat. Control 35 
(1990), no. 5, 616-618; MR 91b:93056] by C. B. Soh. 

Schafer, Wolfgang see Trippler, G. 

Shen, Xuemin see Qureshi, Muhammad T-; et al. 

Singh, M. G. see Jiang, C. Q.; et al., 92e:93052 

Sobolev, V. A. Singular perturbations in a linear-quadratic problem of optimal control. 
(Russian) 924:49067 

Soethoudt, J. M. see Trentelman, H. L., 92d:49068 

(Soh, C. B.) see Saydy, L.; et al. 

Staffans, Olof J. Mixed sensitivity minimization problems with rational /'!-optimal 
solutions. 92i:93039 

Staicu, Vasile see Cellina, Arrigo, 92f:34012 

Sternberg, Peter see Owen, Nicholas C., 92c:49009 

Tammer, Klaus see Jongen, Hubertus Th.; et al., 92i:90101 

Taras‘ev, A.M. Programmed constructions in control problems with a vector criterion. 
(Russian) 92h:90161 

Thibault, Lionel On subdifferentials of optimal value functions. 92¢:49027 

Tits, André L. see Saydy, L.; et al. 

Tobin, Roger L. see Friesz, Terry L.; et al., 92e:90075 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


1992 838 


Trentelman, H. L. (with Soethoudt, J. M.) Convergence properties of indefinite linear 
quadratic problems with receding horizon. 924:49068 

Trippler, G. (with Schafer, Wolfgang) Modelling of long-time control processes with 
resource allocation as a discrete stochastic control problem and its solution using a 
maximum principle. (Polish summary) 

Volle, Michel see Penot, Jean-Paul, 92j:49005 

Zhikov, V. V. The Lavrent’ev effect and averaging of nonlinear variational problems. 
(Russian) 92j:49006 

Zhou, Shu Zi Perturbation for elliptic variational inequalities. 92h:49009 

Ziobec, S. The marginal value formula in input optimization. 92a:90067 

— see also van Rooyen, M., 92b:90209 


49K45 Problems involving randomness [see also 93E20] 


Bensoussan, Alain Stochastic maximum principle for systems with partial information and 
application to the separation principle. 92d:49050 

Cheremenskii, Aleksandr G. Quadratic optimization of linear systems with an arbitrary law 
of the distribution of disturbances. (Russian. English and Bulgarian summaries) 

Christopeit, N. (with Helmes, K.) On stochastic “bang-bang” control for linear diffusions 
with point process observations. 92d:49051 

Da Prato, Giuseppe (with Pritchard, A. J.; Zabczyk, Jerzy) On minimum energy problems. 
92b:49049 

Dempster, M. A. H. Optimal control of piecewise deterministic Markov processes. 
92c:49023 

Elliott, Robert James The optimal control of diffusions. 92b:49050 

— (with Yang, H.) Control of partially observed diffusions. 92h:49026 

Gasanov, I. I. %& MxoroxpuTepHasibHas 3afa4a CTOXaCTHYeCCKOTO ONTHMAIbHOTO yupaBeHHA 
B Cyly4ae AHCKpeTHoro Bpemeuu. (Russian) [A multicriterial problem of stochastic optimal 
control in the case of discrete time] 92b:49051 

Helmes, K. see Christopeit, N., 92d:49051 

Hu, Ying (with Yong, Jiong Min) The maximum principle for stochastic optimal impulse 
controls. (Chinese) 92h:49027 

Korbicz, Jézef Discrete-scanning observation problem for stochastic nonlinear discrete-time 
distributed parameter systems. 924:49052 

Pritchard, A. J. see Da Prato, Giuseppe; et al., 92b:49049 

Situ, Rong Strong solutions and optimal control for stochastic differential equations in duals 
of nuclear spaces. (see 92d:93004) 

Sorger, Gerhard Maximum principle for control problems with uncertain horizon and 
variable discount rate. 92h:49028 

Yang, H. see Elliott, Robert James, 92h:49026 

Yong, Jiong Min see Hu, Ying; et al., 92h:49027 

Zabczyk, Jerzy see Da Prato, Giuseppe; et al., 92b:49049 

Zhou, Xun Yu A unified treatment of maximum principle and dynamic programming in 
stochastic controls. 92m:49047 

Zhuk, S. Ya. Locally-optimal control of a discrete dynamic system with a random structure. 
(Russian. English summary) 


Items with secondary classifications in 49K45 


Aldhaheri, Rabah W. (with Khalil, Hassan K.) Aggregation of the policy iteration method 
for nearly completely decomposable Markov chains. 92a:93125 

Aubin, Jean-Pierre (with Da Prato, Giuseppe) Stochastic viability and invariance. 
92£:60104 

Banek, Tadeusz Optimal discounted control of the bilinear diffusion process and its 
application to economics. (Russian and Polish summaries) 92f:93125 

BeneS, Vaclav E. (with Karatzas, Ioannis; Rishel, Raymond Warren) The separation 
principle for a Bayesian adaptive control problem with no strict-sense optimal law. 
92b:93087 

Bensoussan, Alain (with Frehse, Jens) Sur les équations de Bellman du contrdéle ergodique 
dans R". (English summary) [On the Bellman equations of ergodic control in R"] 
92a:93116 

Bodrov, V.I. see Kafarov, V. V.; et al., 92f:93072 

Cohen, Guy see Culioli, J.-C., 92b:49058 

Culioli, J.-C. (with Cohen, Guy) Decomposition/coordination algorithms in stochastic 
optimization. 92b:49058 

Da Prato, Giuseppe see Aubin, Jean-Pierre, 92f:60104 

Di Masi, Giovanni B. (with Runggaldier, Wolfgang J.) Piecewise linear stochastic control 
with partial observations. 92b:93089 

Dixit, Avinash A simplified treatment of the theory of optimal regulation of Brownian 
motion. 92j:93135 

Drezner, Zvi (with Wesolowsky, G. O.) Optimizing control limits under random process 
shifts and a quadratic penalty function. 92f:93126 

Frehse, Jens see Bensoussan, Alain, 92a:93116 

Gatarek, Dariusz Optimality conditions for impulsive control of piecewise-deterministic 
processes. 92m:93051 

Kafarov, V. V. (with Bodrov, V. I.; Matveikin, V.G.) Theoretical bases for the solution of 
problems of the control of deterministic-stochastic models. (Russian) 92f:93072 

Karatzas, Ioannis see Bened, Vaclav E.; et al., 92b:93087 

Khalil, Hassan K. see Aldhaheri, Rabah W., 92a:93125 

Kobila, T.@. Partial investment under uncertainty. 92j:90010 

Krasovskii, A. A. Optimization and stochastic dynamics in the state space. (Russian 
summary) 92a:93130 

Lefebvre, Mario Forcing a stochastic process to stay in or to leave a given region. 92b:93072 

Lew, Jiann-Shiun see Mook, D. Joseph, 92d:49056 

Matveikin, V.G. see Kafarov, V. V.; et al., 92f:93072 

Messaoudi, K. (with Michaille,G.) Homogénéisation stochastique de certains problémes 
non coercifs. [Stochastic homogenization of some noncoercive problems] 92g:49010 

Michaille, G. see Messaoudi, K., 92g:49010 

Miller, B. M. Generalized optimization in problems of the control of observations. 
(Russian) 92m:93053 





839 1992 


Mook, D. Joseph (with Lew, Jiann-Shiun) Multiple shooting algorithms for jump- 
discontinuous problems in optimal control and estimation. 92d:49056 

Plum, Hans-Joachim Impulsive and continuously acting control of jump processes/time 
discretization. 92h:93106 

Rishel, Raymond Warren see BeneS, Vaclav E.; et al., 92b:93087 

Rockafellar, R.T. (with Wets, Roger J.-B.) Scenarios and policy aggregation in optimiza- 
tion under uncertainty. 92k:90058 

Runggaldier, Wolfgang J. (with Stettner, Lukasz) On the construction of nearly optimal 
strategies for a general problem of control of partially observed diffusions. 92k:93120 

— see also Di Masi, Giovanni B., 92b:93089 

Shi, Bei Yuan (with Zhang, Yan Hui) The martingale method for optimal control of a class 
of infinite-dimensional stochastic systems. (Chinese. English summary) 92f:93129 

Stettner, Lukasz see Runggaldier, Wolfgang J., 92k:93120 

Wesolowsky, G. O. see Drezner, Zvi, 92f:93126 

Wets, Roger J.-B. Stochastic programming. (see 92a:90001) 

— Laws of large numbers for random LSC functions. 92i:60013 

— see also Rockafellar, R. T., 92k:90058 

Whittle, Peter A risk-sensitive maximum principle: the case of imperfect state observation. 
924:93122 

Zakai, Moshe see Zeitouni, Ofer, 92m:93054 

Zeitouni, Ofer (with Zakai, Moshe) On the optimal tracking problem. 92m:93054 

Zhang, Yan Hui see Shi, Bei Yuan; et al., 92f:93129 

Zhou, Xun Yu Remarks on optimal controls of stochastic partial differential equations. 
92h:93108 


49K99 None of the above, but in this section 


Hughes, J. B. Second order sufficient conditions for optimizing with equality constraints. 
92k:49053 

Ravn, H. F. Correction to: “Comments on: ‘A discrete optimal control problem for 
descriptor systems’ ” [IEEE Trans. Automat. Control 35 (1990), no. 8, 985-987; MR 
91¢:49046]. 


Items with secondary classifications in 49K99 

Analevskii, I. M. (with Kolmanovskii, V. B.) Control of certain mechanical systems when 
there is incomplete information. (Russian) 92b:76038 

Kolmanovskii, V. B. see Anal‘evskii, 1. M., 92b:70038 

Kraut, H. (with Pickenhain, Sabine) Erweiterung von mehrdimensionalen Steuerungsprob- 
lemen und Dualitat. (English summary) [Extension of multidimensional control problems 
and duality] 92¢:49028 

Pappalardo, M. A necessary optimality condition for nondifferentiable constrained 
extremum problems. 92h:90119 

Pickenhain, Sabine see Kraut, H., 92c:49028 

Sumin, V. I. Strong degeneration of singular controls in distributed problems of optimiza- 
tion. (Russian) 92m:49036 

Viscolani, Bruno A note on checking schedules with finite horizon. (French summary) 


49Lxx Carathéodory, Hamilton-Jacobi theories, 
including dynamic programming 


49L05 Free problems and problems involving ordinary differential 
equations 


Trigub, M. V. Numerical solution of free boundary problem in optimal control of nonlinear 
systems. 924:49053 


Items with secondary classifications in 49L05 

Gonzalez, Roberto L. V. (with Tidball, Mabel M.) Sur l’ordre de convergence des solutions 
discrétisées en temps et en espace de l’équation de Hamilton-Jacobi. (English summary) 
[On the rates of convergence of fully discrete solutions of Hamilton-Jacobi equations] 
92k:35033 

Rowland, J.D. L. (with Vinter, R. B.) Construction of optimal feedback controls. 
92¢:49030 

Tidball, Mabel M. see Gonzalez, Roberto L. V., 92k:35033 

Vinter, R. B. see Rowland, J. D. L., 92c:49030 


49L10 Free problems and problems involving partial differential 
equations 


Items with secondary classifications in 49L10 

Di Blasio, Gabriella Optimal control with infinite horizon for distributed parameter systems 
with constrained controls. 92¢:49014 

Popa, Catalin Trotter product formulae for Hamilton-Jacobi equations in infinite 
dimensions. 92k:47136 

Shreve, Steven E. see Soner, Halil Mete, 92b:35179 

Soner, Halil Mete (with Shreve, Steven E.) A free boundary problem related to singular 
stochastic control: the parabolic case. 92b:35179 


49L15 Problems in abstract spaces or problems involving 
functional relations other than differential equations 
Belbas, S. A. Dynamic programming and maximum principle for discrete Goursat systems. 
92k:49054 
Cannarsa, Piermarco (with Da Prato, Giuseppe) Second-order Hamilton-Jacobi equations 
in infinite dimensions. 92b:49052 


Dana, Rose-Anne (with Le Van, Cuong) On the Bellman equation of the overtaking 
criterion. 92¢:49039 


49L Carathéodory, Hamilton-Jacobi theories, including dynamic programming 


Da Prato, Giuseppe see Cannarsa, Piermarco, 92b:49052 
Le Van, Cuong see Dana, Rose-Anne, 92¢:49039 


Items with secondary classifications in 49L15 

Agrachév, A. A. see Gamkrelidze, R. V.; et al., 92b:58056 

Congedo, Giuseppe (with Tamanini, Italo) On the existence of solutions to a problem in 
multidimensional segmentation. (French summary) 924:49085 

Gamkrelidze, R. V. (with Agrachév, A. A.; Vakhrameev, S. A.) Ordinary differential 
equations on vector bundles, and chronological calculus. (Russian) 92b:58056 

Luca, Rodica Observations on a Hamilton-Jacobi equation. (Romanian summary) 
92b:47114 

Tamanini, Italo see Congedo, Giuseppe, 92d:49085 

Vakhrameev, S. A. see Gamkrelidze, R. V.; et al., 92b:58056 


49L20 Dynamic programming method 


Barbu, Viorel The dynamic programming equation for the time-optimal control problem in 
infinite dimensions. 92a:49049 

Calvet, J. L. (with Dantas de Melo, J.; Garcia, J.-M.) Parallelism in dynamic programming 
and control. (see 92i:65226) 

Dantas de Melo, J. see Calvet, J. L.; et al., (92i:65226) 

Ferguson, M. J. see Jalali, Ahmad, 92k:49055 

Garcia, J.-M. see Calvet, J. L.; et al., (92i:65226) 

Iwamoto, Seiichi Iterative integral versus dynamic programming. 924:49054 

Jalali, Ahmad (with Ferguson, M. J.) On distributed dynamic programming. 92k:49055 

Khrustalev, M. M. Necessary and sufficient dynamic programming conditions for optimal 
control problem with state constraints. 92m:49048 

Liao, Li-Zhi (with Shoemaker, Christine A.) Convergence in unconstrained discrete-time 
differential dynamic programming. 924:49055 

Michel, Philippe Some clarifications on the transversality condition. 92¢:49040 

Mirica, Stefan Some generalizations of the Bellman-Isaacs equation in deterministic 
optimal control. 92a:49050 

Peng, Shi Ge A generalized Hamilton-Jacobi-Bellman equation. 92k:49056 

Shoemaker, Christine A. see Liao, Li-Zhi, 92d:49055 

Streufert, Peter A. An abstract topological approach to dynamic programming. 92j:49029 

Tataru, Daniel On the equivalence between the dynamic programming principle and the 
dynamic programming equation. 92m:49049 

Wright, Stephen Joseph Partitioned dynamic programming for optimal control. 92g:49026 


Items with secondary classifications in 49L20 


Aliakbarov, S. M. (with Vasil/ev, F. P.) The dynamic programming method for a problem 
of standardization type with a piecewise-linear objective function. (Russian) 92j:90091 

Bardi, Martino (with Sartori, Caterina) Approximation and regular perturbation of optimal 
control problems via Hamilton-Jacobi theory. 92k:49051 

Bensoussan, Alain (with Frehse, Jens) Sur les équations de Bellman du contréle ergodique 
dans R". (English summary) [On the Bellman equations of ergodic control in R"] 
92a:93116 

— (with Nisio, M.) Nonlinear semigroup arising in the control of diffusions with partial 
observation. 92a:93126 

Bidyuk, P.1. see Korbicz, Jézef; et al. 

Buras, Nathan see Estalrich, Juan, 92e:90102 

Cannarsa, Piermarco (with Frankowska, Halina) Some characterizations of optimal 
trajectories in control theory. 92j:49025 

Chernov, D. E. Dynamic programming. Freezing of variables in methodology of reduction 
of calculations. (Russian) 92h:90132 

Duncan, T. E. Some solvable stochastic control problems in noncompact symmetric spaces 
of rank one. 92f:93127 

EI Karoui, Nicole (with Quenez, Marie-Claire) Programmation dynamique et évaluation 
des actifs contingents en marché incomplet. (English summary) [Dynamic programming 
and pricing of contingent claims in an incomplete market] 92h:90012 

— Juan (with Buras, Nathan) Alternative specifications of state variables in 
st ing models of reservoir operation. 92e:90102 

nesiendih, Halina see Connansa, ‘Piermarco, 92j:49025 

Frehse, Jens see Bensoussan, Alain, 92a:93116 

Galil, Zvi (with Park, Kunsoo) Dynamic programming with convexity, concavity and 
sparsity. 92k:90116 

Giarrusso, Ester Estimates for generalized subsolutions of first order Hamilton-Jacobi 
equations and rearrangements. 92j:35028 

Hentzel, Irvin Roy (with Jacobs, David Pokrass) A dynamic programming method for 
building free algebras. 92m:17006 

Hijab, Omar Infinite-dimensional Hamilton-Jacobi equations with large zeroth-order 
coefficient. 92m:35044 

Inderfurth, Karl Mehrstufige Sicherheitsb d ig mit dy ischer Program- 
mierung. (English summary) [Multistage planning of safety stocks with dynamic program- 
ming] 

Jacobs, David Pokrass see Hentzel, Irvin Roy, 92m:17006 

Judita, Samuel Stochastic dy ic sy with ¢ lled transition probabilities. (French 
and Russian summaries) 92a:93128 

Korbicz, Jézef (with Podladchikov, V. N.; Bidyuk, P. I.) Suboptimal control algorithm for 
discrete systems. (Russian summary) 

Kudin, V. F. (with Lyashevskii, S. E.) Generalization of a solution of a class of problems of 
the analytic construction of nonlinear regulators. (Russian) 92a:49068 

Lebedev, G. N. Alternative control and control in a class of homogeneous strategies. 
(Russian) 92a:93058 

Lyashevskii, S. E. see Kudin, V. F., 922:49068 

Nisio, M. see Bensoussan, Alain, 92a:93126 

Park, Kunsoo see Galil, Zvi, 92k:90116 

Petrov, A.I. (with Stetsko, G.O.) The separation principle in optimal control of systems 
with randomly-changing structure. (Russian. English summary) 92b:93084 

Podladchikov, V.N. see Korbicz, Jézef; et al. 














491.20 


Quenez, Marie-Claire see El Karoui, Nicole, 92h:90012 

Santos, Manuel S. Smoothness of the policy function in discrete time economic models. 
92h:90026 

Sartori, Caterina see Bardi, Martino, 92k:49051 

Stetsko, G.O. see Petrov, A. I., 92b:93084 

Tarasova, V. P. Optimal strategies for the reconstruction of characteristic functions defined 
on a finite set. (Russian) 92a:90093 

Vasil'ev, F.P. see Aliakbarov, S. M., 92j:90091 

Volle, Michel Compléments sur la relation entre la régularisation de Lasry-Lions et 
l’équation de Hamilton-Jacobi. [Complements on the relation between the Lasry-Lions 
regularization and the Hamilton-Jacobi equation] 92g:49012 

— Régularisation des fonctions fortement minorées dans les espaces de Hilbert. [Regulariza- 
tion of functions strongly bounded from below in Hilbert spaces] 92g:49013 

Weigel, Karin Possibilities of solution in stochastic decision models with recursive reward 
functions. 92a:93133 


Yong, Jiong Min Optimal switching and impulse controls for distributed parameter systems. 


92c:93058 
Zhou, Xun Yu A unified treatment of maximum principle and dynamic programming in 
stochastic controls. 92m:49047 


49L25 Viscosity solutions 


Cannarsa, Piermarco (with Da Prato, Giuseppe) The vanishing viscosity method in infinite 
dimensions. (Italian summary) 92i:49046 

— (with Gozzi, Fausto; Soner, Halil Mete) A boundary value problem for Hamilton-Jacobi 
equations in Hilbert spaces. 92h:49029 

Da Prato, Giuseppe see Cannarsa, Piermarco, 92i:49046 

Gozzi, Fausto see Cannarsa, Piermarco; et al., 92h:49029 

Hajek, Otomar Viscosity solutions of Bellman’s equation. 92¢:49024 

Huang, Hui Optimal capital expenditure: a perturbation method. 92b:49053 

Loreti, Paola An optimal control problem with a final target. 92g:49027 

Soner, Halil Mete see Cannarsa, Piermarco; et al., 92h:49029 

Sritharan, S.S. Dynamic programming of the Navier-Stokes equations. 92g:49028 

Tataru, Daniel Viscosity solutions for the dynamic programming equations. 92k:49057 


Items with secondary classifications in 49L25 


Alziary de Roquefort, B. Jeux différentiels et approximation numérique de fonctions valeur. 
I. Etude théorique. (English summary) [Differential games and numerical approximation 
of value functions. I. Theoretical investigation] 92i:90130 

— Jeux différentiels et approximation numérique de fonctions valeur. II. Etude numérique. 
(English summary) [Differential games and numerical approximation of value functions. 
II. Numerical investigation] 92i:90131 

Aubin, Jean-Pierre (with Da Prato, Giuseppe) Solutions contingentes de l’équation de 
la variété centrale. (English summary) [Contingent solutions to the center manifold 
equation] 92b:34028 

Barles, G. Uniqueness and regularity results for first-order Hamilton-Jacobi equations. 
92b:35038 

Barron, Emmanuel Nicholas The Pontryagin maximum principle for minimax problems of 
optimal control. 92b:49016 

Crandall, Michael G. (with Lions, Pierre-Louis) Viscosity solutions of Hamilton-Jacobi 
equations in infinite dimensions. V. Unbounded linear terms and B-continuous solutions. 
92g:35043 

Da Prato, Giuseppe see Aubin, Jean-Pierre, 92b:34028 

E, Wei Nan A class of homogenization problems in the calculus of variations. 92h:49010 

Lenhart, Suzanne M. (with Yamada, Naoki) Perron’s method for viscosity solutions 
associated with piecewise-deterministic processes. 92i:35136 

Lions, Pierre-Louis see Crandall, Michael G., 92g:35043 

Peng, Shi Ge (with Yong, Jiong Min) Determination of a controllable set for a controlled 
dynamic system. 92f:93012 

Stefani, Gianna Regularity properties of the minimum-time map. 92h:49025 

Subbotin, A. I. Ona property of a subdifferential. (Russian) 92i:49033 

Tataru, Daniel Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear 
terms. 92m:47155 

Yamada, Naoki see Lenhart, Suzanne M., 92i:35136 


Yong, Jiong Min Optimal switching and impulse controls for distributed parameter systems. 


92¢:93058 
— see also Peng, Shi Ge, 92£:93012 


49L99 None of the above, but in this section 


Items with secondary classifications in 49L99 

Osher, Stanley (with Shu, Chi-Wang) High-order essentially nonoscillatory schemes for 
Hamilton-Jacobi equations. 92e:65118 

Shu, Chi-Wang see Osher, Stanley, 92¢:65118 


49Mxx Methods of successive approximations {For 
discrete problems, see 90Cxx; see also 65Kxx.} 


Items with secondary classifications in 49Mxx 

Goh, C. J. see Teo, Kok Lay; et al., 92m:49003 

Teo, Kok Lay (with Goh, C. J.; Wong, K. H.) * A unified computational approach to 
optimal control problems. 92m:49003 

Wong, K. H. see Teo, Kok Lay; et al., 92m:49003 


49M05 Methods based on necessary conditions 


Antonik, V.G. see Srochko, V. A., 92m:49050 
Bidyuk, P.1I. see Korbicz, Jézef; et al. 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 1992 840 


Burmistenko, V.M. (with Kushnir, V. N.; Polishchuk, V. M.; Khilenko, V. V.) Sufficient 
simplification of linear models in solving optimal control problems. (Russian) 

Chen, Gan Ping (with Qin, Yi Hong; Xu, Guo Yu) Optimization design of linear optimal 
control systems—the full-matrix optimization method for weighting matrices. (Chinese. 
English summary) 

Dietrich, Helmut Applications of Toland’s duality theory to nonconvex optimization 
problems. 92i:49047 

Dimitrova, L. I. Optimization of dynamical systems with terminal constraints in a class of 
inertial support controls. I. Support control. (Russian. English and Bulgarian summaries) 

— Optimization of dynamical systems with terminal constraints in a class of inertial support 
controls. II. The maximum principle. (Russian. English and Bulgarian summaries) 

Galperin, Efim A. Delta algorithm for global optimal control. (see 92h:93007) 

Golichev, I. I. On the spectrum of a system determining the optimal control. (Russian) (see 
92£:00019) 

Hoang Xuan Phi Method of orienting curves for solving optimal control problems with 
state constraints. 92i:49048 

lliev, S. D. A modification of the method of local variations. (Russian) 92j:49030 

Khilenko, V. V. see Burmistenko, V. M.; et al. 

Kirin, N. E. (with Sadovin, N.S.) An interpolation approach in methods for the successive 
improvement of programmed controls. (Russian) (see 92i:49002) 

Kiselév, Yu. N. Rapidly converging algorithms for solving a linear time-optimality problem. 
(Russian. English summary) 92¢:49041 

Kolosov, G. E. (with Yurlov, A. V.; Sharov, Mikhail M.) Numerical analysis of suboptimal 
stochastic control systems of a diffusion type. (see 92i:93007) 

Korbicz, Jézef (with Podladchikov, V. N.; Bidyuk, P. I.) Suboptimal control algorithm for 
discrete systems. (Russian summary) 

Kugelmann, Bernd (with Pesch, Hans Josef) New general guidance method in constrained 
optimal control. I. Numerical method. 92b:49054a 

— (with Pesch, Hans Josef) New general guidance method in constrained optimal control. 
II. Application to space shuttle guidance. 92b:49054b 

Kushnir, V. N. see Burmistenko, V. M.; et al. 

Levchenko, N. M. Optimal control switching surfaces. (Russian) (see 92i:49002) 

Lew, Jiann-Shiun see Mook, D. Joseph, 92d:49056 

Melikyan, A. A. The problem of time-optimal control with the search of the goal point. (see 
92i:93007) 

Mook, D. Joseph (with Lew, Jiann-Shiun) Multiple shooting algorithms for jump- 
discontinuous problems in optimal control and estimation. 924:49056 

Peiczewski, Jerzy Computation of the time-optimal control for some linear systems subject 
to disturbances. (Russian and Polish summaries) 92i:49049 

Pesch, Hans Josef see Kugelmann, Bernd, 92b:49054a and 92b:49054b 

Podladchikov, V.N. see Korbicz, Jézef; et al. 

Polishchuk, V. M. see Burmistenko, V. M.,; et al. 

Qin, Yi Hong see Chen, Gan Ping; et al. 

Sadovin, N.S. see Kirin, N. E., (92i:49002) 

Schmidt, Jochen W. Numerical solution of some classes of complementarity and variational 
problems via dualization. 92a:49051 

Sharov, Mikhail M. see Kolosov, G. E.; et al., (92i:93007) 

Srochko, V. A. (with Antonik, V.G.) Optimization of control variation procedure in 
methods of linearization. 92m:49050 

Wang, Jian Ju Optimal control of trajectories. (Chinese. English summary) 

Xu, Guo Yu see Chen, Gan Ping; et al. 

Yurlov, A. V. see Kolosov, G. E.; et al., (92i:93007) 


Items with secondary classifications in 49M05 

Buldaev, A. S. * UncnenHbit MeTog ONTHMH3alHH ypaBsIeHHA B CHCTeMaX C 3aa3bIBa- 
HuaMH. (Russian) [A numerical method for the optimization of control in systems with 
delays] 92g:49021 

— A numerical method for control optimization in systems with delay in the modeling of the 
immune response. (Russian) 92d:92018 

Chernushevich, A.S. Method of support problems for solving a linear-quadratic problem of 
terminal control. 924:49065 

Gregory, John! (with Lin, Cantian; Wang, Rong Sheng) Numerical extremal methods and 
biological models. 92b:49032 

Khailov, E. N. On the interval of existence of switching times in a linear time-optimality 
problem. (Russian) 92k:49046 

Lin, Cantian see Gregory, John’; et al., 92b:49032 

Lin, Ts’ung Wu Solving optimization problems using ordinary differential equations. 
(Chinese summary) 92g:90151 

Wang, Rong Sheng see Gregory, John’; et al., 92b:49032 

Wright, Stephen Joseph Partitioned dynamic programming for optimal control. 92g:49026 


49M07 Gradient methods 


Dunn, J.C. Scaled gradient projection methods for optimal control problems and other 
structured nonlinear programs. (see 92d:93006) 

Kelley, C. T. (with Sachs, E.W.) Mesh independence of the gradient projection method for 
optimal control problems. 92k:49058 

Sachs, E. W. see Kelley, C. T., 92k:49058 

Tolstykh, V.K. The gradient method for optimal control of distributed systems. (Russian) 
92¢e:49042 


Items with secondary classifications in 49M07 

He, Li Min see Polak, Elijah, 92b:90217 

Krut'ko, P. D. Minimum acceleration energy optimization of control systems. (Russian) 
92g:70025 

Lin, Ying Ju (with Ye, Xian Jian) Subgradient projection algorithms for constrained 
nonsmooth optimization. I. Linear constraints. (Chinese. English summary) 92b:90198 

Polak, Elijah (with He, Li Min) Unified steerable phase I—-phase II method of feasible 
directions for semi-infinite optimization. 92b:90217 

Simon, Jacques Domain variation for drag in Stokes flow. 92m:49035 





841 1992 


Vasil’ev, N.S. Gradient algorithms for searching for Nash equilibria. (Russian) 92j:90097 
Ye, Xian Jian see Lin, Ying Ju; et al., 92b:90198 


49M10 Methods of steepest descent type 


Fitzpatrick, Ben G. Numerical solution of a control problem for optimal cooling of 
viscoelastic films. (see 92g:93006) 

Sonnevend, Gyérgy Applications of analytic centers for the numerical solution of semi- 
infinite, convex programs arising in control theory. (see 92i:93007) 


Items with secondary classifications in 49M10 

Dunn, J.C. A subspace decomposition principle for scaled gradient projection methods: 
global theory. 92d:90077 

Schott, Dieter A general iterative scheme with applications to convex optimization and 
related fields. 92h:65098 


49M15 Methods of Newton-Raphson, Galerkin and Ritz types 


Brislawn, Chris (with Rosen, I.G.) Wavelet based approximation in the optimal control of 
distributed parameter systems. 92g:49029 

Bukov, V. N. (with Kulabukhov, V.S.) A recursive algorithm for optimization according to 
a criterion of A. A. Krasovskii. (Russian) 92a:49052 

Burger, J. (with Pogu, Marc) Functional and numerical solution of a control problem 
originating from heat transfer. 92c:49025 

Burns, John A. (with Liu, Zhuangyi; Miller, Robert E.) Approximations of thermoelastic 
and viscoelastic control systems. 92h:49030 

Gwinner, Joachim Discretization of semicoercive variational inequalities. 92h:49031 

Kelley, C.T. (with Sachs, E. W.; Watson, Bruce B.) Pointwise quasi-Newton method for 
unconstrained optimal control problems. II. 92k:49059 

— (with Sachs, E. W.) A new proof of superlinear c ‘gence for Broyd 
Hilbert space. 92a:49053 

Kulabukhov, V.S. see Bukov, V. N., 92a:49052 

Liu, Zhuangyi see Burns, John A.; et al., 92h:49030 

Miller, Robert E. see Burns, John A.; et al., 92h:49030 

Pogu, Marc see Burger, J., 92c:49025 

Rosen, I. G. see Brislawn, Chris, 92g:49029 

Sachs, E. W. see Kelley, C. T., 92a:49053 and 92k:49059 

Watson, Bruce B. see Kelley, C. T.; et al., 92k:49059 





”’s method in 


Items with secondary classifications in 49M15 


Ariyawansa, K. A. Deriving collinear scaling algorithms as extensions of quasi-Newton 
methods and the local convergence of DFP- and BFGS-related collinear scaling algo- 
rithms. 92e:90070 

Debiriska-Nagérska, Anna Approximation d’un probléme de contréle optimal de systeme 
4 paramétres distribués avec retard. (English, Russian and Polish summaries) [Approx- 
imation of an optimal control problem for a distributed-parameter system with delay] 
92i:49009 

Dem’yanov, V. F. A second-order method in minimax problems. (Russian. English 
summary) 92h:90114 

Diener, I. (with Schaback, R.) An extended continuous Newton method. 92g:90146 

Ding, Jiu (with Li, Tien-Yien) An algorithm based on weighted logarithmic barrier 
functions for linear complementarity problems. (Arabic summary) 92f:90069 

Goldstein, A. A. A modified Kantorovich inequality for the convergence of Newton’s 
method. 924:90078 

Grippo, Luigi (with Lucidi, Stefano) A differentiable exact penalty function for bound 
constrained quadratic programming problems. 92c:90085 

Gu, Chong (with Wahba, Grace) Minimizing GCV/GML scores with multiple smoothing 
parameters via the Newton method. 92a:65051 

Higgins, J. E. see Polak, Elijah; et al., 92m:90049 

Li, Tien-Yien see Ding, Jiu, 92:90069 

Lucidi, Stefano see Grippo, Luigi, 92c:90085 

Mayne, David Q. see Polak, Elijah; et al., 92m:90049 

Polak, Elijah (with Mayne, David Q.; Higgins, J. E.) On the extension of Newton’s method 
to semi-infinite minimax problems. 92m:90049 

Schaback, R. see Diener, I., 92g:90146 

Takahashi, Toshihiko see Yabe, Hiroshi, 92e:90053 

Unton, Fryderyk Z. see Weinfeld, Roman, 92h:93109 

Wahba, Grace see Gu, Chong, 92a:65051 

Weinfeld, Roman (with Unton, Fryderyk Z.) Gauss-Newton versus Newton-Raphson 
algorithm for the recursive generalized least-squares identification. (Russian and Polish 
summaries) 92h:93109 

Yabe, Hiroshi (with Takahashi, Toshihiko) Factorized quasi-Newton methods for 
nonlinear least squares problems. 92e:90053 


49M20 Methods of relaxation type 


Roubitek, TomaS Convergent computational method for relaxed optimal control problems. 
92d:49057 


Items with secondary classifications in 49M20 

Roose, Dirk see Sweldens, Wim, 92i:65190 

Sweldens, Wim (with Roose, Dirk) Shape from shading using parallel multigrid relaxation. 
92i:65190 

Taras‘ev, A.M. (with Uspenskii, A. A.; Ushakov, V. N.) On construction of solving 
procedures in a linear control problem. (see 92i:34003) 

Ushakov, V. N. see Taras’ev, A. M.; et al., (92i:34003) 

Uspenskii, A. A. see Taras‘ev, A. M.; et al., (92i:34003) 


49M Methods of successive approximations 


49M25 Finite difference methods 


Bellettini, Giovanni (with Paolini, Maurizio; Verdi, Claudio) Convex approximations of 
functionals with curvature. (Italian summary) 92k:49060 

Goh, C. J. see Teo, Kok Lay; et al., 92d:49061 

Grossmann, Christian Penalties and mixed finite element analysis for variational inequali- 
ties. 92d:49058 

Gunzburger, Max D. (with Hou, LiSheng; Svobodny, Thomas P.) Analysis and finite 
element approximation of optimal control problems for the stationary Navier-Stokes 
equations with Dirichlet controls. (French summary) 92k:49061 

Haslinger, Jaroslav (with Panagiotopoulos, P. D.) Optimal control of hemivariational 
inequalities. Approximation results. 92d:49059 

Hou, LiSheng see Gunzburger, Max D.; et al., 92k:49061 

Hu, Jian Sheng see Yang, Cheng Wu; et al., 92h:49032 

Kukhta, K. Ya. Solution of a nonlinear nonstationary conti discrete bound 
problem with discrete perturbations in control theory. (Russian. English aneeed 

Leong, K. K. see Teo, Kok Lay; et al., 92d:49061 

Lepp, Riho Discrete approximation of extremum problems with operator constraints. 
92j:49031 

Li, Da Kan (with Shao, Jian) A fixed-point method for the direct solution of optimal 
control problems and its application. (Chinese. English summary) 924:49060 

Lin, Shin Yeu A hardware implementable two-level parallel computing algorithm for general 
minimum-time control. 

Labyshev, F. V. Approximation and regularization of optimal control problems for a 
nonselfadjoint elliptic equation with variable coefficients. (Russian) 92b:49055 

Panagiotopoulos, P. D. see Haslinger, Jaroslav, 924:49059 

Paolini, Maurizio see Bellettini, Giovanni; et al., 92k:49060 

Perevozchikov, A. G. see Zavriev, S. K., 92j:49032 

Potapov, M. M. (with Razgulin, A. V.) Difference methods in problems of the optimal 
control of the stationary self-action of light beams. (Russian) 92¢:49043 

Razgulin, A. V. see Potapov, M. M., 92¢:49043 

Shao, Jian see Li, Da Kan; et al., 92d:49060 

Svobodny, Thomas P. see Gunzburger, Max D.; et al., 92k:49061 

Teo, Kok Lay (with Leong, K. K.; Goh, C. J.) Nonlinearly constrained optimal control 
problems involving piecewise smooth controls. 92d:49061 

Tran, Hien T. Numerical studies of the linear-uadratic control p 
with delay in control. (see 92g:93006) 

Vel’ov, V.M. Second-order discrete approximation to linear differential inclusions. 
92m:49051 

Verdi, Claudio see Bellettini, Giovanni; et al., 92k:49060 

Yang, Cheng Wu (with Hu, Jian Sheng) Walsh series analysis of multidelay linear systems. 
(Chinese. English summary) 92h:49032 

Zavriev, S. K. (with Perevozchikov, A.G.) Attraction of trajectories of finite-difference 
inclusions and stability of numerical methods of stochastic nonsmooth optimization. 
(Russian) 92j:49032 











hl 


for retarded systems 





Items with secondary classifications in 49M25 

Bellettini, Giovanni (with Paolini, Maurizio; Verdi, Claudio) I-convergence of discrete 
approximations to interfaces with prescribed mean curvature. (Italian summary) 
92a:49019 

— (with Paolini, Maurizio; Verdi, Claudio) Numerical minimization of geometrical type 
problems related to calculus of variations. 92i:65103 

Bel'skii, V.G. A multigrid method for the numerical solution of variational inequalities. 
(Russian) 

Casas Renteria, Eduardo Optimality conditions and numerical approximations for some 
optimal design problems. 92i:49061 

Dixit, Avinash A simplified treatment of the theory of optimal regulation of Brownian 
motion. 92j:93135 

French, Donald A. (with King, J. Thomas) Approximation of an elliptic control problem by 
the finite element method. 92m:65144 

Grigorieff, Rolf Dieter (with Reemtsen, R. M.) Discrete approximations of minimization 
problems. I. Theory. 924:65110 

— (with Reemtsen, R. M.) Discrete approximations of minimization problems. II. 
Applications. 924:65111 

Hoppe, Ronald H. W. Une méthode multigrille pour la solution des problémes d’obstacle. 
(English summary) [A multigrid method for the solution of obstacle problems] 
92e:65086 

Ito, Kazufumi (with Kappel, F.) A uniformly differentiable approximation scheme for delay 
systems using splines. 92c:65078 

Jennings, Leslie S. see Teo, Kok Lay, 92c:49019 

Kamyad, A. V. (with Rubio, J. E.; Wilson, D. A.) Optimal control of the multidimensional 
diffusion equation. 92d:49005 

Kappel, F. Approximation of LQR-problems for delay systems: a survey. 92j:49001 

— see also Ito, Kazufumi, 92c:65078 

Kawohl, Bernhard (with Stara, Jana; Wittum, Gabriel) Analysis and numerical studies of a 
problem of shape design. 92d:49082 

Kelley, C.T. (with Sachs, E. W.) Mesh independence of the gradient projection method for 
optimal control problems. 92k:49058 

King, J. Thomas see French, Donald A., 92m:65144 

Mayne, David Q. see Pantoja, J. F. A. De O., 92a:49057 

Obradovich, O. (with Potapov, M. M.) Regularization of the method of iterative spline- 
approximation of optimal control. (Russian) 92a:65205 

Osher, Stanley (with Shu, Chi-Wang) High-order essentially nonoscillatory schemes for 
Hamilton-Jacobi equations. 92¢:65118 

Pantoja, J. F. A. De O. (with Mayne, David Q.) Sequential quadratic programming 
algorithm for discrete optimal control problems with control inequality constraints. 
92a:49057 

Paolini, Maurizio see Bellettini, Giovanni; et al., 92:49019 and 92i:65103 

Perevozchikov, A. G. see Zavriev, S. K., 92b:90205 

Potapov, M. M. see Obradovich, O., 922:65205 





49M25 


Reemtsen, R. M. see Grigorieff, Rolf Dieter, 92d:65110 and 924:65111 

Rol'shchikov, V. E. Finite-dimensional approximation of an approximation gradient on a 
Hilbert space. (Russian) 92a:49008 

Rubio, J. E. see Kamyad, A. V.; et al., 924:49005 

Sachs, E. W. see Kelley, C. T., 92k:49058 

Schochetman, Irwin E. (with Smith, Robert L.) Finite-dimensional approximation in 
infinite-dimensional mathematical programming. 92m:90056 

Shu, Chi-Wang see Osher, Stanley, 92¢:65118 

Smirnov, G. V. Discrete approximations and optimal solutions of differential inclusions. 
(Russian. English and Ukrainian summaries) 92h:49019 

Smith, Robert L. see Schochetman, Irwin E., 92m:90056 

Stard, Jana see Kawohl, Bernhard; et al., 92d:49082 

Tagiev, R. K. An estimate for the accuracy of difference approximations and the regulariza- 
tion of a problem of the optimal control of the coefficients of an elliptic equation. (Rus- 
sian) 92c:65114 

Teo, Kok Lay (with Jennings, Leslie S.) Optimal control with a cost on changing control. 
92¢:49019 

Verdi, Claudio see Bellettini, Giovanni; et al., 92a:49019 and 92i:65103 

Wang, Lie Heng Morley’s element approximation to a fourth order variational inequality 
with curvature obstacle. 92j:65095 

Wilson, D. A. see Kamyad, A. V.; et al., 92d:49005 

Wittum, Gabriel see Kawohl, Bernhard; et al., 92d:49082 

Yagubov, G. Ya. A difference method for solving a problem of the optimal control of the 
coefficient of a quasilinear Schrédinger equation. (Russian) 92c:65115 

Zavriev, S. K. (with Perevozchikov, A. G.) A stochastic finite-difference algorithm for the 
minimization of a maximin function. (Russian) 92b:90205 


49M27 Decomposition methods 


Ardema, Mark D. (with Cooper, Evert) Perturbation method for improved time-optimal 
control of disk drives. (see 92h:93007) 

Berdyshev, Yu. I. (with Yarosh, L.M.) Time-optimal control in a problem of going around 
a group of given points. (Russian) 92b:49056 

Buslaeva, L.T. A numerical procedure for solving a discrete-continuous control problem. 
(Russian) 92b:49057 

Cohen, Guy see Culioli, J.-C., 92b:49058 

Cooper, Evert see Ardema, Mark D., (92h:93007) 

Culioli, J.-C. (with Cohen, Guy) Decomposition/coordination algorithms in stochastic 
optimization. 92b:49058 

Lapin, S. V. Synthesis of approximate optimal controls of systems with polynomial 
nonlinearities by means of block-pulse function expansions. (Russian. English summary) 

Leonov, V. Yu. Iterative grouping in problems of optimal control. (Russian) 92a:49054 

Litvinchev, I. S. Use of structure and of cross-connection estimates in the method of 
decomposition of optimal control problems. (Russian) 92m:49052 

— Iterative aggregation method for constrained optimal control problems. 

Liu, Ling Pu see Yang, Guang Wen; et al. 

Pelczewski, Jerzy Application of Legendre polynomials method for some optimal control 
problems. 92a:49055 

Yang, Guang Wen (with Liu, Ling Pu) The decomposition of one kind of large scale goal 
programming problem. 

Yarosh, L. M. see Berdyshev, Yu. I., 92b:49056 


Items with secondary classifications in 49M27 


Arvanitis, K.G. see Paraskevopoulos, P. N.; et al., 92g:93054 

Atamian, C. (with Dinh, Q. V.; Glowinski, Roland; He, Jiwen; Périaux, Jacques) Control 
approach to fictitious-domain methods application to fluid dynamics and electromagnet- 
ics. (see 92a:65023) 

Dahleh, Mohammed A. (with Peirce, A. P.) Numerical solution of a class of parabolic 
partial differential equations arising in optimal control problems with uncertainty. 
921:65106 

Deaton, A. W. see Miele, A.; et al., 92c:70031 

Dinh, Q. V. see Atamian, C.; et al., (92a:65023) 

Gangl, A. see Gutenberger, J.; et al., (92i:93006) 

Glowinski, Roland see Atamian, C.; et al., (92a:65023) 

Grabowski, Piotr On the spectral-Lyapunov approach to parametric optimization of 
distributed-parameter systems. 92a:49034 

Gutenberger, J. (with Gangl, A.; Wacker, Hansjérg) Decomposition method with 
superlinear convergence for power plant systems. (see 92i:93006) 

He, Jiwen see Atamian, C.; et al., (92a:65023) 

Ledzewicz-Kowalewska, Urszula Application of the Moser’s technique to the tangent 
direction problem for certain class of nonlinear evolution equations. 92a:65193 

Miele, A. (with Wang, Tong; Deaton, A. W.) Decomposition technique and optimal 
trajectories for the aeroassisted flight experiment. 92c¢:70031 

Paraskevopoulos, P. N. (with Tsirikos, A. S.; Arvanitis, K.G.) New Taylor series approach 
to state-space analysis and optimal control of linear systems. 92g:93054 

Peirce, A. P. see Dahleh, Mohammed A., 92i:65106 

Périaux, Jacques see Atamian, C.; et al., (92a:65023) 

Roberts, P. D. see Zhang, H., 92i:93091 

(Tamura, Hiroyuki) see Large-scale systems control and decision making, 92g:93004 

Tsirikos, A.S. see Paraskevopoulos, P. N.; et al., 92g:93054 

Wacker, Hansjérg see Gutenberger, J.; et al., (92i:93006) 

Wang, Tong see Miele, A.; et al., 92c:70031 

Yanushevskii, R. T. Optimal control of differential-difference systems with intragroup 
symmetry. 92m:49042 

(Yoshikawa, Tsuneo) see Large-scale systems control and decision making, 92g:93004 

Zhang, H. (with Roberts, P.D.) Integrated system optimization and parameter estimation 
using a general form of steady-state model. 92i:93091 


Items listed otherwise than by author 
Large-scale systems control and decision making * Large-scale systems control and decision 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


making. 92g:93004 


49M29 Multiplier methods 


Ito, Kazufumi (with Kroller, M.; Kunisch, Karl) A numerical study of an augmented 
Lagrangian method for the estimation of parameters in elliptic systems. 92b:49059 

Kroller, M. see Ito, Kazufumi; et al., 92b:49059 

Kunisch, Karl see Ito, Kazufumi; et al., 92b:49059 


49M30 Other methods, not based on necessary conditions 
(penalty function, etc.) 


Andreini, A. On the regular approximation of the linear time optimal problem. 92h:49033 

Bergounioux, Maitine A penalization method for the optimal control of a distributed elliptic 
problem with state constraints. (see 92m:49004) 

Dymkov, M. P. On the determination of the Fourier transform of the optimal control in a 
linear problem. (Russian. English summary) 92¢:49044 

Golubev, Yu. F. (with Seregin, I. A.; Khairullin, R. Z.) The floating nodes method. (Russian) 
92m:49053 

Hager, William W. see Poore, Aubrey B.; et al., (92g:93006) 

Han, Xiang Zhu see Shou, Ji Lin; et al. 

Ibiejugba, M. A. A penalty optimization technique for a class of regulator problems. III. 
92j:49033 

Khairullin, R. Z. see Golubev, Yu. F.; et al., 92m:49053 

Korobov, V.I. (with Sklyar,G.M.) The Markov moment min-problem and time optimality. 
(Russian) 92c:49026 

Kovacs, Margit (with Vasil'ev, F. P.) Convergence rate for regularized barrier function 
methods. 92h:49034 

Liskovets, O. A. Finite-dimensional regularizers for problems of optimal control on solu- 
tions of ill-posed variational inequalities. (Russian. English and Ukrainian summaries) 
92k:49062 

Mayne, David Q. see Polak, Elijah; et al., (92d:93006) 

Nagahisa, Youji (with Sakawa, Yoshiyuki) A new computational algorithm for solving 
optimal control problems. 92a:49056 

Neittaanmaki, Pekka (with Stachurski, Andrzej) Solving some optimal control problems 
using the barrier penalty function method. (see 92i:93007) 

— (with Stachurski, Andrzej) Solving some optimal control problems using the barrier 
penalty function method. 92i:49050 

Nguyén Chan Optimal control of a dynamical system with trajectory retention. (see 
92m:58003) 

Novikova, N. M. Some methods for the numerical solution of continuous convex stochastic 
problems of optimal control. (Russian) 92k:49063 

Polak, Elijah (with Yang, T. H.; Mayne, David Q.) A method of centers based on barrier 
functions for solving optimal control problems with continuum state and control 
constraints. (see 92d:93006) 

Poore, Aubrey B. (with Hager, William W.; Yang, Bing) Penalty, multiplier, and Newton 
methods for a class of nonlinear optimal control problems. (see 92g:93006) 

Reid, D. W. (with Teo, Kok Lay) Optimal control problems with fuzzy system parameters. 
92k:49064 

Rudolph, Helmut Global solutions in optimal control via SILP. (see 92i:93007) 

Sakawa, Yoshiyuki see Nagahisa, Youji, 92a:49056 

Scheiber, E. An adaptive precision algorithm for the numerical solution of optimal control 
problems by the linearization method. (see 92m:49004) 

Seregin, I. A. see Golubev, Yu. F.; et al., 92m:49053 

Shou, Ji Lin (with Han, Xiang Zhu) Exact penalty functions for nonsmooth programming. 
(Chinese) 

Sklyar, G. M. see Korobov, V. I., 92c:49026 

Stachurski, Andrzej see Neittaanmaki, Pekka, 92i:49050 and (92i:93007) 

Teo, Kok Lay (with Wong, K.H.) Nonlinearly constrained optimal control problems. 
92m:49054 

— see also Reid, D. W., 92k:49064 

Varsan,C. Approximation for a Goursat problem of hyperbolic controlled stochastic 
differential equations. (see 92m:49004) 

Vasil’ev, F. P. see Kovacs, Margit, 92h:49034 

Wang, Huan Chen (with Zhang, Chun Shu) A Walsh transformation algorithm for 
optimization problems for continuously distributed time-delay systems. (Chinese. English 
summary) 924:49062 

Wang, Yao Qing An efficient algorithm for solutions to the LQ inverse problem. (Chinese. 
English summary) 

Wong, K. H. see Teo, Kok Lay, 92m:49054 

Xing, An-Qing The nonparameter penalty function method in constrained optimal control 
problems. 92b:49060 

Yang, Bing see Poore, Aubrey B.; et al., (92g:93006) 

Yang, T. H. see Polak, Elijah; et al., (92d:93006) 

Zhang, Chun Shu see Wang, Huan Chen; et al., 92d:49062 

Zhang, Xin Jian Minimal energy control and Lg spline functions. (Chinese. English 
summary) 92k:49065 


Items with secondary classifications in 49M30 

Abdullah, N. see Brdys, M. A.; et al., 92g:93008 

Aiyoshi, Eitaro see Ishizuka, Yo, 92k:90090 

Argyros, Ioannis K. On some projection methods for solving nonlinear operator equations 
with a nondifferentiable term. 92m:47133 

Ashchepkov, L. T. (with Dolgii, D. V.) Description and approximation of the attainability 
set of a linear discrete control system. (Russian) 92b:93011 

Baturin, V. A. (with Dykhta, V. A.; Moskalenko, A. L.; et al.) *& MerTogbi pemienua 3a7a4 
TeopHu yipaBseHHA Ha OCHOBe NPHHUMNa pacuimpenua. (Russian) [Methods for solving 
problems in control theory on the basis of the extension principle] 92k:49004 

Bergounioux, Maitine A penalization method for optimal control of elliptic problems with 
state constraints. 92k:49041 





843 1992 


Bonnans, Joseph Frédéric The Pontryagin principle for the control of elliptic systems with 
state constraints: the penalty method. (Spanish) 92f:49009 

Brdys, M. A. (with Abdullah, N.; Roberts, P. D.) Hierarchical adaptive techniques for 
optimizing control of large-scale steady-state systems: optimality, iterative strategies, and 
their convergence. 92g:93008 

Burke, James V. An exact penalization viewpoint of constrained optimization. 92d:90075 

— Calmness and exact penalization. 92e:49021 

Dempster, M. A. H. Optimal control of piecewise deterministic Markov processes. 
92c:49023 

Dolgii, D. V. see Ashchepkov, L. T., 92b:93011 

Dostal, Zdenék On the penalty approximation of quadratic programming problem. 
92b:90161 

Dumitru, Vincentiu (with Luban, Florica) Convex optimization by the unconstrained 
multiplicative barrier function method. 92k:90064 

Dykhta, V. A. see Baturin, V. A.; et al., 92k:49004 

Facchinei, F. Exact penalty functions and Lagrange multipliers. 92h:90115 

Fedorov, Vyacheslav Vasilevich see Krasnoshchekov, P. S.; et al. 

(Fisher, Michael Ernest) see Jennings, Leslie S., (92f:92004) 

Goldfarb, Donald (with Liu, Shu Cheng; Wang, Si Yun) A logarithmic barrier function 
algorithm for quadratically constrained convex quadratic programming. 92h:90096 

Golichev, I. 1. The method of a function of an operator, and iterative processes in some 
optimal control problems. (Russian) 92i:49010 

(Grantham, Walter J.) see Jennings, Leslie S., (92f:92004) 

Hanson, R. J. (with Krogh, Fred T.) A quadratic-tensor model algorithm for nonlinear 
least-squares problems with linear constraints. 

Higgins, J. E. (with Polak, Elijah) An e-active barrier-function method for solving 
minimax problems. 92b:90216 

Hsia, Wei-Shen (with Lee, Tan Yu; Lee, J. Y.) Lagrange multiplier theorem of multiobjec- 
tive programming problems with set functions. 92k:90074 

Ishizuka, Yo (with Aiyoshi, Eitaro) Double penalty method for bilevel optimization 
problems. 92k:90090 

Jennings, Leslie S. (with Teo, Kok Lay) A numerical algorithm for constrained optimal 
control problems with applications to harvesting. (see 92f:92004) 

Kalinin, A. I. An asymptotic method for constructing optimal controls with singular 
intervals. (Russian) 924:49046 

Kharatishvili,G. L. (with Tadumadze, T. A.) Continuity of the minima of a functional 
and its application to the approximate solution of an optimal problem that is linear with 
respect to the control. (Russian. English and Georgian summaries) 

Kiehl, M. Smoothing the function of the multiple-shooting equation. 92i:65128 

Krasnoshchekov, P.S. (with Perevozchikov, A. G.; Fedorov, Vyacheslav Vasil’evich) 
Approximation of preference relations on a set of dynamical systems. (Russian) 

Krogh, Fred T. see Hanson, R. J. 

Lee, J. Y. see Hsia, Wei-Shen; et al., 92k:90074 

Lee, Tan Yu see Hsia, Wei-Shen; et al., 92k:90074 

Liu, Shu Cheng see Goldfarb, Donald; et al., 92h:90096 

Luban, Florica see Dumitru, Vincentiu, 92k:90064 


Mangasarian, O. L. Least norm solution of nonmonotone linear complementarity problems. 


92d:90098 

Mayne, David Q. see Pantoja, J. F. A. De O., 924:90084 

Moskalenko, A. I. see Baturin, V. A.; et al., 92k:49004 

Novikova, N. M. Iterative regularization of the penalty method for an infinite-dimensional 
problem of the search for a saddle point. (Russian) 92m:49009 

Pantoja, J. F. A. De O. (with Mayne, David Q.) Exact penalty function algorithm with 
simple updating of the penalty parameter. 92d:90084 

Perevozchikov, A.G. see Krasnoshchekov, P. S.; et al. 

Pitonyak, A. (with Shi, Peter; Shillor, Meir) On an iterative method for variational 
inequalities. 92b:49020 

Polak, Elijah see Higgins, J. E., 92b:90216 

Roberts, P. D. see Brdys, M. A.; et al., 92g:93008 

Runggaldier, Wolfgang J. (with Stettner, Lukasz) On the construction of nearly optimal 
strategies for a general problem of control of partially observed diffusions. 92k:93120 

Rustem, Bere A constrained min-max algorithm for rival models of the same economic 
system. 92k:90094 

Sabin, Gary C. W. see Summers, Danny; et al., 92k:93019 

Shi, Peter see Pitonyak, A.; et al., 92b:49020 

Shillor, Meir see Pitonyak, A.; et al., 92b:49020 

Stettner, Lukasz see Runggaldier, Wolfgang J., 92k:93120 

Summers, Danny (with Wu, Zong Y.; Sabin, Gary C. W.) State estimation of linear 
dynamical sy under bounded control. 92k:93019 

Tadumadze, T. A. see Kharatishvili, G. L. 

Teo, Kok Lay see Jennings, Leslie S., (92f:92004) 

Volle, Michel Compléments sur la relation entre la régularisation de Lasry-Lions et 
léquation de Hamilton-Jacobi. [Complements on the relation between the Lasry-Lions 
regularization and the Hamilton-Jacobi equation] 92g:49012 

— Régularisation des fonctions fortement minorées dans les espaces de Hilbert. [Regulariza- 
tion of functions strongly bounded from below in Hilbert spaces] 92g:49013 

Wang, Si Yun see Goldfarb, Donald; et al., 92h:90096 

Wa, Zong Y. see Summers, Danny; et al., 92k:93019 





49M35 Methods of linear programming type [see also 90C05] 


Gabasov, R. (with Kirillova, F.M.) A finite algorithm for constructing a programmed 
solution of a partially defined linear problem of optimal control. (Russian) 92k:49066 
Golubev, Yu. F. (with Seregin, I. A.; Khairullin, R. Z.) The rational successive linearization 
method in problems of optimal control during atmospheric descent of a spacecraft. 
(Russian. English summary) 92k:49067 

Khairullin, R. Z. see Golubev, Yu. F.; et al., 92k:49067 

Kirillova, F.M. see Gabasov, R., 92k:49066 

Seregin, I. A. see Golubev, Yu. F.; et al., 92k:49067 


49M Methods of successive approximations 


49M37 


Items with secondary classifications in 49M35 

Gabasov, R. (with Kirillova, F. M.; Kostyukova, O. I.) An algorithm for optimizing 
nonlinear dynamical systems. (Russian) 92a:49028 

— (with Kirillova, F. M.; Kostyukova, O. I.) Construction of optimal controls of feedback 
type in a linear problem. (Russian) 92k:49075 

Gonzaga, Clovis C. Large step path-following methods for linear programming. I. Barrier 
function method. 92g:90095 

— Large step path-following methods for linear programming. II. Potential reduction 
method. 92g:90096 

Kirillova, F.M. see Gabasov, R.; et al., 92a:49028 and 92k:49075 

Kostyukova, O. I. see Gabasov, R.; et al., 92a:49028 and 92k:49075 

Nguyén Chan Optimal control of a dynamical system with trajectory retention. (see 
92m:58003) 

— Constructive method for solving a linear minimax problem of optimal control. 92g:49005 


49M37 Nonlinear programming [see also 90C30] 


Luus, Rein see Rosen, O., 92m:49055 

Mayne, David Q. see Pantoja, J. F. A. De O., 92a:49057 

Pantoja, J. F. A. De O. (with Mayne, David Q.) Sequential quadratic programming 
algorithm for discrete optimal control problems with control inequality constraints. 
92a:49057 

Renner, B. see Richter, Claus, (92a:65022) 

Richter, Claus (with Renner, B.) Efficient methods for solving optimal control problems. 
(see 92a:65022) 

Rosen, O. (with Luus, Rein) Global optimization approach to nonlinear optimal control. 
92m:49055 

Roubitek, Tomas Optimization of a Stefan problem by nonsmooth methods. 92m:49056 


Items with secondary classifications in 49M37 


Aarts, Emile H. L. see Dekkers, Anton, 92e:90072 

Allende Alonso, Sira M. On the lower semicontinuity of the feasible region of nonlinear 
mixed-integer parametric programming. 92b:90157 

(Balas, Egon) see Minoux, Michel, 92b:90001 

Chen, Guang Jun (with Wang, Chang Yu; Zhou, Hui Shan) Continuousization of the family 
of point-to-set maps and its applications. 92a:90054 

Cloutier, James R. (with Wilson, R. F.) Periodically preconditioned conjugate gradient- 
restoration algorithm. 92:90057 

Dekkers, Anton (with Aarts, Emile H. L.) Global optimization and simulated annealing. 
92e:90072 

Dennis, J. E., Jr. (with Schnabel, Robert B.) A view of unconstrained optimization. (see 
92a:90001) 

Ferris, Michael C. Finite termination of the proximal point algorithm. 92¢:90074 

Gilbert, Jean Charles Maintaining the positive definiteness of the matrices in reduced secant 
methods for equality constrained optimization. 92a:90057 

Gill, Philip E. (with Murray, Walter; Saunders, Michael A.; Wright, Margaret H.) Con- 
strained nonlinear programming. (see 92a:90001) 

Gnevko, S. V. (with Kalinin, A. I.) Asymptotic optimization of nonlinear regularly 
perturbed control systems. (Russian) 92j:49026 

Golikov, A. I. * Moguduumposanubie bynxunn Jlarpanxa B HeHHeMHOM NporpaMMEHpo- 
panuu. (Russian) [Modified Lagrange functions in nonlinear programming] 92f:90060 

He, Li Min see Polak, Elijah, 92g:90162 

Ivanilov, Yu. P. see Zaporozhan, D. I., 92e:90087 

Jongen, Hubertus Th. (with Jonker, P.; Twilt, F.) * Nonlinear optimization in R". I. 
92:90004 

— (with Jonker, P.; Twilt, F.) * Nonlinear optimization in R”. II. 92a:90005 

Jonker, P. see Jongen, Hubertus Th.; et al., 922:90004 and 92a:90005 

Kalinin, A.1. see Gnevko, S. V., 92j:49026 

Lé Diing Mu’u On a Lagrangian penalty function method for nonlinear programming 
problems. 92j:90080 

Li, Xing Si An aggregate function method for nonlinear programming. 

Lu, Ping Optimal feedback control laws using nonlinear programming. 92h:49043 

Minoux, Michel * Matematuyeckoe nporpammMuposanue. (Russian) [Mathematical 
programming] 92b:90001 

Mititelu, Stefan Constraint qualifications weakened. 92b:49064 

Mraz, F. Local minimizer of a nonconvex quadratic programming problem. (German 
summary) 92a:90044 

Murray, Walter see Gill, Philip E.; et al., (92a:90001) 

Peiczewski, Jerzy Computation of the time-optimal control for some linear systems subject 
to disturbances. (Russian and Polish summaries) 92i:49049 

Polak, Elijah (with He, Li Min) Finite-termination schemes for solving semi-infinite 
satisfycing problems. 92g:90162 

Ravn, H. F. Correction to: “Comments on: ‘A discrete optimal control problem for 
descriptor systems’ ” [IEEE Trans. Automat. Control 35 (1990), no. 8, 985-987; MR 
91c:49046]. 

Rinnooy Kan, Alexander H. G. (with Timmer, G. T.) Global optimization. (see 92a:90001) 

Saunders, Michael A. see Gill, Philip E.; et al., (92a:90001) 

Schnabel, Robert B. see Dennis, J. E., Jr., (92a:90001) 

Schénefeld, Klaus On the global convergence of an extended qp-free locally superlinearly 
convergent optimization method. (see 92a:65022) 

Shi, Geang Yan Investigation of higher-order algorithms for a class of nondifferentiable 
constrained programming problems. (Chinese. English summary) 92e:90081 

(Shtern, A. 1.) see Minoux, Michel, 92b:90001 

Sideri, E. A. A modified Kelley’s cutting plane algorithm for some special nonconvex 
problems. 92¢:90082 

Tarasov, V.N. Application of unconditional optimization methods for solving problems 
with constraints. (Russian. English summary) 92e:90084 

Timmer, G. T. see Rinnooy Kan, Alexander H. G., (92a:90001) 

Twilt, F. see Jongen, Hubertus Th.; et al., 92a:90004 and 922:90005 

Wang, Chang Yu see Chen, Guang Jun; et al., 92a:90054 





49M37 


Wilson, R. F. see Cloutier, James R., 92f:90057 

Wright, Margaret H. see Gill, Philip E.; et al., (92a:90001) 

Zaporozhan, D.I. (with Ivanilov, Yu. P.) Interpretation of methods for sequential 
unconditional minimization of the solution of nonlinear programming problems by 
means of the perturbation method. (Russian) 92e:90087 

Zhou, Hui Shan see Chen, Guang Jun; et al., 92a:90054 


49M39 Semi-infinite programming [see also 90C34] 


Items with secondary classifications in 49M39 


Higgins, J. E. see Polak, Elijah; et al., 92m:90049 

Klatte, Diethard (with Walzebok, Ralf) Hinreichende Optimalitatsbedingungen fiir 
semi-infinite Optimierungsaufgaben als spezielle C'-'-Probleme. [Sufficient optimality 
conditions for semi-infinite optimization problems as special C'-'-problems] 92i:90108 

Mayne, David Q. see Polak, Elijah; et al., 92m:90049 

Polak, Elijah (with Mayne, David Q.; Higgins, J. E.) On the extension of Newton’s method 
to semi-infinite minimax problems. 92m:90049 

Walzebok, Ralf see Klatte, Diethard, 92i1:90108 

Zhang, Qing Xiang Sufficient conditions for optimality of a class of semi-infinite program- 
ming problems in the sense of (h, g). (Chinese) 92i:90109 





49M40 Methods of quadratic programming type [see also 90C20] 


Alt, Walter The Lagrange-Newton method for infinite-dimensional optimization problems. 
92b:49061 


Items with secondary classifications in 49M40 

Bukov, V. N. (with Kulabukhov, V.S.) A recursive algorithm for optimization according to 
a criterion of A. A. Krasovskii. (Russian) 92a:49052 

Grippo, Luigi (with Lucidi, Stefano) A differentiable exact penalty function for bound 
constrained quadratic programming problems. 92c¢:90085 

He, Li Min see Polak, Elijah, 92g:90162 

Kulabukhov, V.S. see Bukov, V. N., 92a:49052 

Lacidi, Stefano see Grippo, Luigi, 92c:90085 

Polak, Elijah (with He, Li Min) Finite-termination schemes for solving semi-infinite 
satisfycing problems. 92g:90162 

Rockafellar, R.T. Computational schemes for large-scale problems in extended linear- 
quadratic programming. 92h:49037 

— Large-scale extended linear-quadratic programming and multistage optimization. « 
92d:49066 


49M45 Methods of convex programming type [see also 90C25] 


Items with secondary classifications in 49M45 

Censor, Yair see Lent, Arnold, 92f:90061 

Decarreau, Andrée (with Hilhorst, Danielle; Lemaréchal, Claude; Navaza, Jorge) Dual 
methods in entropy maximization. Application to some problems in crystallography. 
92m:49058 

Hilhorst, Danielle see Decarreau, Andrée; et al., 92m:49058 

Lemaréchal, Claude see Decarreau, Andrée; et al., 92m:49058 

Lent, Arnold (with Censor, Yair) The primal-dual algorithm as a constraint-set- 
manipulation device. 92f:90061 

Navaza, Jorge see Decarreau, Andrée; et al., 92m:49058 

Sonnevend, Gyérgy Applications of analytic centers. 92m:90034 

Tigan, Stefan On a quasimonotonic max-min problem. 92m:49045 


49M99_ None of the above, but in this section 


Items with secondary classifications in 49M99 

Gabasov, R. (with Kirillova, F. M.; Prishchepova, S. V.) An optimal identifier of dynamical 
systems. (Russian. English summary) 92¢:93034 

Graettinger, T. J. (with Krogh, B. H.) Hyperplane method for reachable state estimation 
for linear time-invariant systems. 92c:93010 

Kirillova, F. M. see Gabasov, R.; et al., 92c:93034 

Kyivan, Vlastimil Construction of population growth equations in the presence of viability 
constraints. 92k:92019 

Krogh, B. H. see Graettinger, T. J., 92c:93010 

Prishchepova, S. V. see Gabasov, R.; et al., 92c:93034 


49Nxx Miscellaneous topics 


49N05 Linear optimal control problems [see also 93C05] 


Melikyan, A. A. Optimal guaranteeing control of a dynamical system with search for the 
target point. (Russian) 92b:49062 


Items with secondary classifications in 49N05 

Gabasov, R. (with Kirillova, F.M.) Adjoint control problems, observations and identifica- 
tions. (Russian. English summary) 92c:93014 

Hu, Jian Sheng see Yang, Cheng Wu; et al., 92h:49032 

Kampowsky, Winfried Optimal control in nonlinear evolution equations with constraints. 
(German and Russian summaries) 924:49036 

Kirillova, F.M. see Gabasov, R., 92c:93014 


Korobov, V. I. (with Sklyar,G.M.) The Markov moment min-problem and time optimality. 


(Russian) 92¢:49026 
Sklyar, G.M. see Korobov, V. I., 92c:49026 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 1992 844 


Yang, Cheng Wu (with Hu, Jian Sheng) Walsh series analysis of multidelay linear systems. 
(Chinese. English summary) 92h:49032 


49N10 Linear-quadratic problems 


Ahmed, N. U. Computer aided design of optimal regulators and filters with constraints. 
925:49034 

Babich, O. A. A new form of solution of the linear-quadratic problem in optimal control 
theory. (Russian) 924:49063 

Barabanov, A. E. LQ optimal control by means of stable regulators. 92k:49068 

Bisiacco, Mauro (with Fornasini, Ettore) Structure and solutions of the LQ optimal control 
problem for 2D systems. 924:49064 

Casavola, A. (with Grimble, M. J.; Mosca, Edoardo; Nistri, Paolo) Continuous-time LQ 
regulator design by polynomial equations. 92a:49058 

Chen, Guan Rong Closed-form solutions of a general inequality-constrained LQ optimal 
control problem. 92f:49012 

Chernushevich, A. S. Method of support problems for solving a linear-quadratic problem of 
terminal control. 924:49065 

Dai, Guan Zhong see Yu, Tie Jun; et al., 92j:49035 

Da Prato, Giuseppe (with Delfour, Michel C.) Unbounded solutions to the linear quadratic 
control problem. 92k:49069 

Datko, R. Some spectral solutions for a class of LQR problems. 92i:49051 

Delfour, Michel C. see Da Prato, Giuseppe, 92k:49069 

Emirsajiow, Zbigniew A unified approach to optimal feedback in the infinite-dimensional 
linear-quadratic control problem with an inequality constraint on the trajectory or 
terminal state. 92m:49057 

Engwerda, J.C. LQ-problem: the discrete-time time-varying case. (see 92b:93007) 

Féng, I Kang see Ts’ai, Shu Ch’uan; et al., 92e:49045 

Fomin, V. N. see Leont'eva, M. K.; et al., 92h:49036 

Fornasini, Ettore see Bisiacco, Mauro, 924:49064 

Georgiou, Christos G. (with Mantas, G. P.; Krikelis, N. J.) Dual linear quadratic optimal 
control for two-point boundary value descriptor systems. 92h:49035 

Grimble, M. J. see Casavola, A.; et al., 92a:49058 

Khamidulin, R.G. Optimal control of sy with boundary conditions by the phase 
linearization method with a quadratic auxiliary problem. (Russian) (see 92i:49002) 

Khromov, A. P. Synthesizing functions of a linear differential system with a quadratic 
quality functional. (Russian) (see 92i:00028a) 

Krasovskii, A. A. Nonclassical optimization and the qualitative theory of optimal control. 
(Russian) 

Krikelis, N. J. see Georgiou, Christos G.; et al., 92h:49035 

Kuo, Té Shéng see Ts’ai, Shu Ch’uan; et al., 92e:49045 

Kwong, R. H. On the linear quadratic Gaussian problem with correlated noise and its 
relation to minimum variance control. 92a:49059 

Leont'eva, M. K. (with Fomin, V. N.; Shepelyavaya, N. B.) An optimal linear-quadratic 
control problem with polynomial drift of the perturbing actions. (Russian) 92h:49036 

Lewis, F. L. see Verriest, Erik I., 92d:49069 

Lin, Jia Hao see Zhong, Wan Xie; et al., 92i:49052 

Litvinchev, I. S. (with Ratnikova, N. M.) * ArperuposaHue B JIMHeMHO-KBagpaTH4HbIX 
3amauax. (Russian) [Aggregation in linear-quadratic problems] 92a:49060 

Makila, Pertti M. A bicriteria stationary LQ control problem. 

Mantas, G. P. see Georgiou, Christos G.,; et al., 92h:49035 

Milman, M. H. (with Schumitzky, Alan) Factorization and quadratic cost problems in 
Hilbert spaces. 92a:49061 

Mizukami, Koichi (with Xiao, Yegui; Tatsumoto, Masahiro; Tanouchi, Kuniaki) A new 
consideration on the linear-quadratic optimization problem of inhomogeneous time- 
invariant systems. 

Mosca, Edoardo see Casavola, A.; et al., 92a:49058 

Nistri, Paolo see Casavola, A.; et al., 92a:49058 

Qiu, Chun Hang see Zhong, Wan Xie; et al., 92i:49052 

Ratnikova, N. M. see Litvinchev, I. S., 92a:49060 

Rockafellar, R. T. Computational schemes for large-scale problems in extended linear- 
quadratic programming. 92h:49037 

— Large-scale extended linear-quadratic programming and multistage optimization. 
92d:49066 

Schumitzky, Alan see Milman, M. H., 92a:49061 

Shepelyavaya, N. B. see Leont’eva, M. K.; et al., 92h:49036 

Sobolev, V. A. Singular perturbations in a linear-quadratic problem of optimal control. 
(Russian) 924:49067 

Soethoudt, J. M. see Trentelman, H. L., 92d:49068 

Sugimoto, Kenji (with Yamamoto, Yutaka) Generalized robustness of optimality of linear 
quadratic regulators. 92b:49063a 

— (with Yamamoto, Yutaka) Correction to: “Generalized robustness of optimality of linear 
quadratic regulators”. 92b:49063b 

Tanouchi, Kuniaki see Mizukami, Koichi; et al. 

Tatsumoto, Masahiro see Mizukami, Koichi; et al. 

Trentelman, H. L. (with Soethoudt, J. M.) Convergence properties of indefinite linear 
quadratic problems with receding horizon. 924:49068 

Ts’ai, Shu Ch’uan (with Féng, I Kang; Kuo, Té Shéng) Robust linear quadratic optimal 
control for systems with linear uncertainties. 92¢:49045 

Verriest, Erik I. (with Lewis, F. L.) On the linear quadratic minimum-time problem. 
92d:49069 

Wang, Chao Zhu see Wang, En Ping; et al., 92h:49038 

Wang, En Ping (with Wang, Chao Zhu) Quadratic optimal control of generalized linear 
systems with impulse modes. (Chinese. English summary) 92h:49038 

Xiao, Yegui see Mizukami, Koichi; et al. 

Yakubovich, V. A. A linear-quadratic problem of optimization and the frequency theorem 
for periodic systems. II. (Russian) 92d:49070 

Yamamoto, Yutaka see Sugimoto, Kenji, 92b:49063a and 92b:49063b 

Yu, Tie Jun (with Dai, Guan Zhong) Necessary conditions for closed-loop poles of linear 
quadratic optimal control systems. (Chinese. English summary) 92j:49035 








845 1992 


Zhong, Wan Xie (with Lin, Jia Hao; Qiu, Chun Hang) Computational structural mechanics 
and optimal control—the simulation of substructural chain theory to linear quadratic 
optimal control problems. 92i:49052 

Zhou, Yuan? Singular linear-quadratic optimal control of distributed parameter systems. 
(Chinese) 


Items with secondary classifications in 49N10 


Adamian, A. see Gibson, J. S., 92a:93061 

Ahmed, N. U. (with Li, Peng) Quadratic regulator theory and linear filtering under system 
constraints. 92g:93091 

Aliev, Fikret Akhmadali oglu (with Bordyug, B. A.; Larin, V. B.) The discrete generalized 
Riccati equation and the factorization of matrix polynomials. (Russian. English 
summary) 92h:93041 

Arimatsu, Naganori see Hashimoto, Shusuke; et al., 92f:93026 

Bakhilina, I. M. (with Lerner, D. M.) Structural properties of limit optimal systems. 
(Russian) 92m:93022 

Basar, Tamer see Srikant, R., 92g:90188 

Bector, C. R. see Bhatt, S. K., 92e:49020 

Bhatt, S. K. (with Bector, C. R.) Fritz John optimality conditions and subgradient 
duality for a nondifferentiable mathematical programming problem under p-convexity. 
92¢:49020 

Bordyug, B. A. see Aliev, Fikret Akhmadali oglu; et al., 92h:93041 

Bukov, V. N. (with Kulabukhov, V.S.) A recursive algorithm for optimization according to 
a criterion of A. A. Krasovskii. (Russian) 92a:49052 

Callier, Frank M. see Willems, Jacques L., (92d:93008) 

Celebi, A. Okay see Leblebicioglu, M. Kemal, 92j:49019 

Ch’én, Po Hsien see Lee, Bore Kuen; et al., 92g:93109 

Cheremenskii, Aleksandr G. Quadratic optimization of linear systems with an arbitrary law 
of the distribution of disturbances. (Russian. English and Bulgarian summaries) 

Chisci, Luigi (with Zappa, Giovanni) A systolic architecture for iterative LQ optimization. 
928:93051 

Chung, Seiyoung Dual algorithm for L, isotonic optimization with weights on a partially 
ordered set. 92i:90110 

Coleman, Norman P. see Shieh, Leang San; et al., 92a:93046 

Da Prato, Giuseppe (with Pritchard, A. J.; Zabezyk, Jerzy) On minimum energy problems. 
92b:49049 

Devdariani, S. Yu. The synthesis problem for linearly quadratic problems with a variable 
structure. (Russian. English and Georgian summaries) 

Dietrich, Helmut Applications of Toland’s duality theory to nonconvex optimizaticn 
problems. 92i:49047 

Dymkov, M. P. On the determination of the Fourier transform of the optimal control in a 
linear problem. (Russian. English summary) 92¢:49044 

Fridman, E.M. Decomposition of linear optimal singularly perturbed systems with 
aftereffect. (Russian) 92b:93028 

Gajic, Zoran (with Shen, Xuemin) Study of the discrete singularly perturbed linear- 
quadratic control problem by a bilinear transformation. 

Gibson, J.S. (with Adamian, A.) Approximation theory for linear-quadratic-Gaussian 
optimal control of flexible structures. 92a:93061 

Hashimoto, Shusuke (with Arimatsu, Naganori; Kashiwara, Sadatoshi; Kubota, Mitsuru) 
Optimal LQ control problem for a dimensional increasing tracking system. (Japanese. 
English summary) 92f:93026 

Heck, Bonnie S. Sliding-mode control for singularly perturbed systems. 92b:93029 

Hodiié, M. see Krtolica, R.; et al., 92a:93131 

Hsiao, Féng Hsiang (with Hsieh, Ché Kuang) Robust LQG optimal controller design for 
multivariable discrete saturating systems with noise spectral uncertainties and nonlinear 
time-varying delled dy ics 

Hsieh, Ché Kuang see Hsiao, Féng Hsiang 

(Hu, Hong Xing) see Sznaier, Mario 

Jefferson, T. R. see Scott, C. H. 

Johnson, Alan Discrete and sampled-data stochastic control problems with complete and 
incomplete state information. 92h:93104 

Karticka, Dimitra L. On the dual pair of LP-problems in canonical form with nonnegative 
inverse matrix. (Macedonian summary) 92j:90045 

Kashiwara, Sadatoshi see Hashimoto, Shusuke; et al., 92f:93026 

Kroller, M. (with Kunisch, Karl) Convergence rates for the feedback operators arising in 
the linear quadratic regulator problem governed by parabolic equations. 92d:65194 

Krtolica, R. (with Hodzi¢é, M.; Siljak, Dragoslav D.) A stochastic inclusion principle. 
92a:93131 

Kubota, Mitsuru see Hashimoto, Shusuke; et al., 92f:93026 

Kulabukhov, V.S. see Bukov, V. N., 92a:49052 

Kunisch, Karl see Kroller, M., 924:65194 

Larin, V. B. see Aliev, Fikret Akhmadali oglu; et al., 92h:93041 

Lasiecka, Irena (with Triggiani, Roberto) * Differential and algebraic Riccati equations 
with application to boundary/point control problems: continuous theory and approxima- 
tion theory. 92k:93009 

Leblebicioglu, M. Kemal (with Celebi, A. Okay) An optimal control problem with nonlinear 
elliptic state equations. 92j:49019 

Lee, Bore Kuen (with Ch’én, Po Hsien; Lin, Yu Ping) Extension of linear quadratic optimal 
control theory for mixed backgrounds. 92g:93109 

Lerner, D. M. see Bakhilina, I. M., 92m:93022 

Li, Peng see Ahmed, N. U., 92g:93091 

Lin, Yu Ping see Lee, Bore Kuen; et al., 92g:93109 

Liu, Jun (with Zohdy, M. A.) Performance constrained stabilization of control systems. 
92h:93034 

(Loh, Nan K.) see Sznaier, Mario 

Lovass-Nagy, V. (with Mukundan, R.; Schilling, Robert J.) A note on controlling regulariz- 
able linear time-invariant continuous-time descriptor systems. 92k:93034 

Mukundan, R. see Lovass-Nagy, V.; et al., 92k:93034 

Miller, Stefan On quasiconvex functions which are homogeneous of degree 1. 92m:49022 





49N Miscellaneous topics 


49N15 


Onishchenko, S. M. Design of controllers by the direct Lyapunov method for nonlinear 
systems of rigid stabilization. (Russian) 92k:93105 

Pritchard, A. J. see Da Prato, Giuseppe; et al., 92b:49049 

Ran, André C. M. (with Rodman, Leiba) Stable Hermitian solutions of discrete algebraic 
Riccati equations. 92k:93047 

Rodman, Leiba see Ran, André C. M., 92k:93047 

Savkin, A. V. Bounded solutions of a Riccati matrix differential equation. (Russian) 
92g:34015 

Schilling, Robert J. see Lovass-Nagy, V.; et al., 92k:93034 

Scott, C. H. (with Jefferson, T. R.) Composite convex programs. 

Shen, Xuemin see Gajic, Zoran 

Shieh, Leang San (with Zhang, Jian Liang; Coleman, Norman P.) Optimal digital redesign 
of continuous-time controllers. 92a:93046 

Siljak, Dragoslav D. * Decentralized control of complex systems. 92b:93005 

— see also Krtolica, R.; et al., 92a:93131 

Srikant, R. (with Basar, Tamer) Iterative computation of noncooperative equilibria in 
nonzero-sum differential games with weakly coupled players. 92g:90188 

Sznaier, Mario Comments on: “Robust optimal parametric LQ control with a guaranteed 
cost bound and applications” [Internat. J. Control 50 (1989), no. 6, 2489-2502; MR 
91g:93019] by H. Hu and N. Loh. 

Tran, Hien T. Numerical studies of the linear-uadratic control problem for retarded systems 
with delay in control. (see 92g:93006) 

Triggiani, Roberto see Lasiecka, Irena, 92k:93009 

Tudor, Constantin Quadratic control for stochastic systems defined by evolution operators 
and square integrable martingales. 92k:93121 

Ursescu, Corneliu A view about some tangency concepts. (see 92m:49004) 

Wang, Hui see Wang, Yu Wen; et al. 

Wang, Yao Qing An efficient algorithm for solutions to the LQ inverse problem. (Chinese. 
English summary) 

Wang, Yu Wen (with Wang, Hui) Minimum norm control problems in Banach spaces. 
(Chinese. English summary) 

Willems, Jacques L. (with Callier, Frank M.) The infinite horizon and the receding horizon 
LQ-problems with partial stabilization constraints. (see 92d:93008) 

Wright, Stephen Joseph Partitioned dynamic programming for optimal control. 92g:49026 

Zabczyk, Jerzy see Da Prato, Giuseppe; et al., 92b:49049 

Zappa, Giovanni see Chisci, Luigi, 92g:93051 

Zarnadze, D. N. Duality theorems for extremal problems for a class of nonconvex functions. 
(Russian) 92m:49065 

Zhang, Jian Liang see Shieh, Leang San; et al., 92a:93046 

Zhang, Shi Jun Linear optimal control of state quadratic forms. (Chinese. English 
summary) 

Zohdy, M. A. see Liu, Jun, 92h:93034 


49N15 Duality theory 


Bector, C. R. (with Gill, D. S.; Husain, I.) On duality with generalized F-convexity. 
92h:49039 

— (with Chandra, Suresh; Bector, M. K.) Duality for minmax programs. 92i:49053 

Bector, M. K. see Bector, C. R.; et al., 92i:49053 

Borwein, Jonathan M. (with Lewis, Adrian S.) Practical conditions for Fenchel duality in 
infinite dimensions. (French summary) 92i:49054 

— (with Lewis, Adrian S.) Duality relationships for entropy-like minimization problems. 
92c:49027 

Chandra, Suresh see Bector, C. R.; et al., 92i:49053 

Chentsov, A. G. see Zudikhin, L. V., 92b:49065 

Decarreau, Andrée (with Hilhorst, Danielle; Lemaréchal, Claude; Navaza, Jorge) Dual 
methods in entropy maximization. Application to some problems in crystallography. 
92m:49058 

Drenick, R. F. Multilinear programming: duality theories. 92k:49070 

Egudo, R. R. (with Weir, T.; Mond, B.) Duality without constraint qualification for 
multiobjective programming. 92m:49059 

Elster, K.-H. On duality results in nonconvex optimization. 92j:49036 

Fang, Shu Cherng (with Peterson, Elmor L.; Rajasekera, J. R.) Minimum cross-entropy 
analysis with entropy-type constraints. 92m:49060 

Fischer, Thomas On the duality of a nonconvex optimization problem and the strong 
unicity constant in linear Chebyshev approximation. 92k:49071 

Gill, D.S. see Bector, C. R.; et al., 92h:49039 

Gorni, Gianluca Conjugation and second-order properties of convex functions. 92g:49030 

Hilhorst, Danielle see Decarreau, Andrée; et al., 92m:49058 

Husain, I. see Bector, C. R.; et al., 92h:49039 

Jeyakumar, Vaithilingam (with Wolkowicz, Henry) Zero duality gaps in infinite- 
dimensional programming. 92a:49062 

Kraut, H. (with Pickenhain, Sabine) Erweiterung von mehrdimensionalen Steuerungsprob- 
lemen und Dualitat. (English summary) [Extension of multidimensional control problems 
and duality] 92c:49028 

Lemaréchal, Claude see Decarreau, Andrée; et al., 92m:49058 

Lewis, Adrian S. see Borwein, Jonathan M., 92c:49027 and 92i:49054 

Li, Zhong Fei Duality theory of multiobjective arcwise-convex programming. (Chinese. 
English summary) 92k:49072 

Mannikké, Timo * Convex and nonconvex duality in optimal control. 92d:49071 

Martinez-Legaz, Juan-Enrique Generalized conjugation and related topics. 92f:49013 

— (with Seeger, Alberto) A formula on the approximate subdifferential of the difference of 
convex functions. 92m:49061 

Megretskii, A. V. (with Yakubovich, V. A.) A singular stationary nonhomogeneous linear- 
quadratic problem of optimal control. (Russian) 92a:49063 

Micchelli, Charles A. Curves from variational principles. (French summary) 92m:49062 

Mititelu, Stefan Constraint qualifications weakened. 92b:49064 

Mond, B. see Egudo, R. R.; et al., 92m:49059 

Navaza, Jorge see Decarreau, Andrée; et al., 92m:49058 

Noll, Dominikus A unified approach to duality in convex programming. 92h:49040 





49N15 


Penot, Jean-Paul (with Volle, Michel) On strongly convex and paraconvex dualities. 
92h:49041 

Peterson, Elmor L. see Fang, Shu Cherng; et al., 92m:49060 

Phan Thién Thach Quasiconjugates of functions, duality relationship between quasiconvex 
minimization under a reverse convex constraint and quasiconvex maximization under a 
convex constraint, and applications. 92¢:49046 

Pickenhain, Sabine see Kraut, H., 92c:49028 

Preda, Vasile On duality with generalized convexity. (Italian summary) 92m:49063 

— Generalized invexity for a class of programming problems. 92j:49037 

Rajasekera, J.R. see Fang, Shu Cherng; et al., 92m:49060 

Seeger, Alberto see Martinez-Legaz, Juan-Enrique, 92m:49061 

Singer, Ivan Some further relations between unperturbational and perturbational dual 
optimization problems. 92¢:49047 

Solov'ev, V. N. Duality of nonconvex extremal problems. (Russian) 92i:49055 

— Simplification of dual extremal problems that are invariant with respect to a change of 
variable. (Russian) 92k:49073 

Volle, Michel see Penot, Jean-Paul, 92h:49041 

Weir, T. see Egudo, R. R.; et al., 92m:49059 

Wolkowicz, Henry see Jeyakumar, Vaithilingam, 92a:49062 

Wa, Wei Liang The bottom function and its conjugate. (Chinese. English summary) 
92m:49064 

Yakubovich, V. A. see Megretskii, A. V., 92a:49063 

Yang, Qi Ping (with Zhu, Wei Yong) A symmetric dual theory of D-optimal design and its 
algorithm. (Chinese. English summary) 

Zarnadze, D. N. Duality theorems for extremal problems for a class of nonconvex functions. 
(Russian) 92m:49065 

Zhu, De Tong A generalized Fenchel duality theorem and the minimum discriminant 
information (MDI) problem. (Chinese. English summary) 92¢:49048 

Zhu, Hang Convex duality and generalized solutions in optimal control problem for stopped 
processes: the deterministic model. 92k:49074 

Zhu, Wei Yong see Yang, Qi Ping; et al. 

Zadikhin, L. V. (with Chentsov, A. G.) Ona problem of limited-resources sequential 
control. I. (Russian. English summary) 92b:49065 


Items with secondary classifications in 49N15 

Aggarwal, Shashi (with Bhatia, Davinder; Lau, Neelam) Duality in multiple right-hand 
choice linear fractional problems. 92¢:90093 

Atteia, Marc (with Raissouli, Mustapha) Dual d’un opérateur. Opérateur auto-dual. 
(English summary) [Dual of an operator. Self-dual operators] 92m:47149 

— (with Elgortobi, Abdelkader) Hamiltoniens quasi-convexes quasi-concaves. (English 
summary) [Quasiconvex-quasiconcave Hamiltonians] 92k:90066 

Attouch, Hédy (with Azé, D.; Beer, Gerald A.) On some inverse stability problems for the 
epigraphical sum. 92b:49021 

Azé, D. see Attouch, Hédy; et al., 92b:49021 

Beer, Gerald A. see Attouch, Hédy; et al., 92b:49021 

Bhatia, Davinder (with Pandey, Shashi) A note on multiobjective fractional programming. 
92h:90103 

— see also Aggarwal, Shashi; et al., 92e:90093 

(Cambini, A.) see Generalized convexity and fractional programming with economic 
applications, 92b:90010 

(Castagnoli, E.) see Generalized convexity and fractional programming with economic 
applications, 92b:90010 

Chandra, Suresh (with Craven, B. D.; Mond, B.) Multiobjective fractional programming 
duality. A Lagrangian approach. 92d:90071 

Contesse B., Luis (with Penot, Jean-Paul) Continuity of the Fenchel correspondence and 
continuity of polarities. 92i:49025 

Craven, B. D. see Chandra, Suresh; et al., 92d:90071 

Dietrich, Helmut On the convexification procedure for nonconvex and nonsmooth infinite- 
dimensional optimization problems. 92j:49010 

Duca, Eugenia Duality theorems for the generalized pseudogeometric optimization 
problem. 92j:90062 

Durga Prasad, M. V. see Mond, B.; et al., 92d:49026 

Elgortobi, Abdelkader see Atteia, Marc, 92k:90066 

Erémin, I. 1. Symmetric duality for problems of sequential linear programming. (Russian) 
92g:90094 

Flippo, O. E. * Stability, duality and decomposition in general mathematical programming. 
92k:90004 

Griewank, Andreas (with Jongen, Hubertus Th.; Kwong, Man Kam) The equivalence of 
strict convexity and injectivity of the gradient in bounded level sets. 92f:26024 

Gulati, T. R. (with Talaat, Nadia) Duality in nonconvex multiobjective programming. 
92g:90137 

— (with Talaat, Nadia) Duality in nonconvex vector minimum problems. 92k:90073 

Han, Wei Min see Jou, Emery D., 92a:41006 

Hanson, M. A. see Singh, Chanchal, 92i:90091 

Hsia, Wei-Shen (with Lee, Jae Hak; Lee, Tan Yu) Convolution of set functions. 92i:90079 

Huang, Xue Xiang Generalized recession cones and generalized recession functions. 
(Chinese. English summary) 92¢:49022 

Husain, I. see Mond, B.; et al., 924:49026 

Jongen, Hubertus Th. see Griewank, Andreas; et al., 92f:26024 

Jou, Emery D. (with Han, Wei Min) Minimal-energy splines. I. Plane curves with angle 
constraints. 92a:41006 

Kim, Do Sang (with Lee, Gue Myung) Optimality conditions and duality theorems for 
multiobjective invex programs. 92b:90181 

Kwong, Man Kam see Griewank, Andreas; et al., 92:26024 

Lai, Han Ch’ing (with Tanaka, Kensuke) On continuous-time discounted stochastic 
dynamic programming. 92g:90118 

Lau, Neelam see Aggarwal, Shashi; et al., 92e:90093 

Lee, Gue Myung see Kim, Do Sang, 92b:90181 

Lee, Jae Hak see Hsia, Wei-Shen; et al., 92i:90079 

Lee, Tan Yu see Hsia, Wei-Shen; et al., 92i:90079 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


1992 846 


Li, Shi Zheng A new dual problem for nondifferentiable convex programming. 92b:49028 

Lin, Lai Chi Duality theorems of vector-valued n-set functions. 92¢:90094 

— On the optimality conditions of vector-valued n-set functions. 92h:90107 

Liu, San Yang Symmetric duality of fractional programming. (Chinese) 92b:90212 

Makhmudov, E. N. Optimization of differential inclusions with a phase constraint, and 
duality. (Russian) 92k:49044 

(Martein, L.) see Generalized convexity and fractional programming with economic 
applications, 92b:90010 

Martinez-Legaz, Juan-Enrique (with Singer, Ivan) V-dualities and 1-dualities. 92¢:06017 

— (with Singer, Ivan) Some characterizations of g-Lagrangian dual problems. 92h:90135 

(Mazzoleni, Piera) see Generalized convexity and fractional programming with economic 
applications, 92b:90010 

Metel’skii, A. V. Kalman duality in the theory of the control of dynamical differential- 
difference systems. (Russian. English summary) 92c:93018 

Mond, B. (with Husain, I.; Durga Prasad, M. V.) Duality for a class of nondifferentiable 
multi-objective programs. 924:49026 

— see also Chandra, Suresh; et al., 92d:90071; Smart, I., 92e:90083 and Weir, T., 92j:49024 

Mukherjee, Rathindra Nath! Generalized convex duality for multiobjective fractional 
programs. 92k:90081 

Newakowski, Andrzej (with Zakrzewska, Danuta) Remarks on convex functions. (Russian 
and Polish summaries) 92k:90121 

Pandey, Shashi see Bhatia, Davinder, 92h:90103 

Panik, Michael J. Dual envelope results under concave programming. 92f:90063 

Pellegrini, L. On a Lagrangian sufficient optimality condition. 92g:49023 

Penot, Jean-Paul see Contesse B., Luis, 92i:49025 

Pickenhain, Sabine (with Tammer, Klaus) Sufficient conditions for local optimality in 
multidimensional control problems with state restrictions. 92m:49033 

Raissouli, Mustapha see Atteia, Marc, 92m:47149 

(Schaible, Siegfried) see Generalized convexity and fractional programming with economic 
applications, 92b:90010 

Schmidt, Jochen W. Numerical solution of some classes of complementarity and variational 
problems via dualization. 92a:49051 

Silin, D. B. A generic property of convex sets. (Russian) 92f:52012 

Singer, Ivan see Martinez-Legaz, Juan-Enrique, 92¢:06017 and 92h:90135 

Singh, Chanchal Matrix programming with set-inclusive constraints and objective set. 
92b:90202 

— (with Hanson, M. A.) Multiobjective fractional programming duality theory. 92i:90091 

Smart, I. (with Mond, B.) Complex nonlinear programming: duality with invexity and 
equivalent real programs. 92¢:90083 

Talaat, Nadia see Gulati, T. R., 92g:90137 and 92k:90073 

Tammer, Ch. Lagrange-Dualitat in der Vektoroptimierung. [Lagrange duality in vector 
optimization] 92h:90109 

— (with Tammer, Klaus) Generalization and sharpening of some duality relations for a class 
of vector optimization problems. 92f:90053 

Tammer, Klaus see Tammer, Ch., 92f:90053 and Pickenhain, Sabine, 92m:49033 

Tanaka, Kensuke see Lai, Han Ch’ing, 92g:90118 

Thierfelder, Jorg Nonvertical affine manifolds and separation theorems in product spaces. 
92g:90142 

Wanka, G. On duality in the vectorial control-approximation problem. (German summary) 
92k:90084 

Ward, D. E. Convex directional derivatives in optimization. 92i:49034 

Weir, T. (with Mond, B.) Sufficient optimality conditions and duality for a pseudoconvex 
minimax problem. 92j:49024 

Ye, Y. L. d-invexity and optimality conditions. 92k:90085 

Zakrzewska, Danuta see Nowakowski, Andrzej, 92k:90121 

Zalmai, G. J. Optimality conditions and duality for multiobjective measurable subset 
selection problems. 92c:90097 


Items listed otherwise than by author 


Generalized convexity and fractional programming with economic applications * Generalized 
convexity and fractional programming with economic applications. 92b:90010 

Lecture Notes in Economics and Mathematical Systems * Generalized convexity and 
fractional programming with economic applications. 92b:90010 

Pisa * Generalized convexity and fractional programming with economic applications. 
92b:90010 

Workshop: 
Generalized Concavity, Fractional Programming and Economic Applications * General- 

ized convexity and fractional programming with economic applications. 92b:90010 


49N20 Periodic optimization 


Bittanti, Sergio (with Hernandez, Diego Bricio; Zerbi, G.) The simple pendulum and the 
periodic LQG control problem. 92a:49064 

Han, Sung S. (with Kwon, Kil H.) Spectral analysis of Bessel polynomials in Krein space. 
92g:49031 

Hernandez, Diego Bricio see Bittanti, Sergio; et al., 92a:49064 

Kim, A. V. Periodic control of linear critical systems. (Russian) 92a:49065 

Kwon, Kil H. see Han, Sung S., 92g:49031 

Zerbi, G. see Bittanti, Sergio; et al., 92a:49064 


Items with secondary classifications in 49N20 

Dahleh, Munther A. (with Voulgaris, Petros G.; Valavani, Lena S.) Optimal and robust 
controllers for periodic and multirate systems. 92k:93051 

Pokrovskaya, N. D. Forced periodic regimes in control systems with regularization by 
derivative. (Russian) 92a:93050 

Rabenasolo, B. see Richard, J.-P.; et al., 92k:93070 

Richard, J.-P. (with Saadane, A.; Rabenasolo, B.) Periodic systems: pole assignment and 
optimal control by Floquet’s factor direct computation. 92k:93070 

Saadane, A. see Richard, J.-P.; et al., 92k:93070 





847 1992 


Schittler, Heinz A local feedback synthesis of time-optimal stabilizing controls in 
dimension three. 92g:49032 

Valavani, Lena S. see Dahleh, Munther A.,; et al., 92k:93051 

Voulgaris, Petros G. see Dahleh, Munther A.,; et al., 92k:93051 


49N25 Impulsive optimal control problems [see also 93C57] 


Items with secondary classifications in 49N25 

Bressan, A., Jr. (with Rampazzo, Franco) Impulsive control systems with commutative 
vector fields. 92k:49034 

Costa, O. L. V. Asymptotic convergence for the average impulse control of piecewise 
deterministic processes. 92k:93118 

Rampazzo, Franco see Bressan, A., Jr., 92k:49034 

Yong, Jiong Min (with Zhang, Ping Jian) Necessary conditions of optimal impulse controls 
for distributed parameter systems. 92m:49037 

Zhang, Ping Jian see Yong, Jiong Min, 92m:49037 


49N30 Problems with incomplete information [see also 93C41] 


Gabasov, R. (with Kirillova, F. M.; Gaishun, P. V.; Prishchepova, S. V.) Synthesis of 
optimal controls on nonexact measurements of output signals. (Russian summary) 
92m:49066 

Gaishun, P. V. see Gabasov, R.; et al., 92m:49066 

Kirillova, F.M. see Gabasov, R.; et al., 92m:49066 

Prishchepova, S. V. see Gabasov, R.; et al., 92m:49066 


49N35 Closed-loop controls 


Ahmed, N. U. (with Mouadeb, A. R.) Optimal regulators for linear systems with no control 
cost. 92j:49038 

Aleksandrov, E.E. Parametric optimization of controlled dynamic systems by means of 
Lyapunov functions. (Russian) 92h:49042 

Aubin, Jean-Pierre (with Frankowska, Halina) Feedback controls for uncertain systems. 
92j:49039 

Borosov, V. F. see Zelikin, M. I., 92i:49056 

Chernous’ko, F.L. Decomposition and suboptimal control in dynamical systems. (Russian) 
92¢:49029 

Frankowska, Halina see Aubin, Jean-Pierre, 92j:49039 

Gabasov, R. (with Kirillova, F. M.; Prishchepova, S. V.) Synthesis of a time-optimal 
discrete system. (Russian) 92m:49067 

— (with Kirillova, F. M.; Kostyukova, O. I.) Construction of optimal controls of feedback 
type in a linear problem. (Russian) 92k:49075 

Giuga, S. Feedback solution of a control problem for a parabolic operator of order 2m. 
92b:49066 

Kirillova, F. M. see Gabasov, R.; et al., 92k:49075 and 92m:49067 

Korobov, V.1. (with Sklyar,G.M.) Methods for constructing positional controls, and a 
feasible maximum principle. (Russian) 92:49066 

— (with Sklyar, G. M.) Letter to the editors: “Methods for constructing positional controls, 
and a feasible maximum principle” [Differentsial‘nye Uravneniya 26 (1990), no. i1, 
1914-1924; MR 92a:49066]. (Russian) 

Kostyukova, O. 1. see Gabasov, R.; et al., 92k:49075 

Kovalenko, S. N. (with Taran, V. N.) Two-stage solution of a particular problem of the 
synthesis of an optimal terminal control. (Russian) 92j:49040 

Kuben, Jaromir Time-optimal control of two-dimensional systems and regular synthesis. 
922:49067 

Kudin, V. F. (with Lyashevskii, S. E.) Generalization of a solution of a class of problems of 
the analytic construction of nonlinear regulators. (Russian) 92a:49068 

La, Ping Optimal feedback control laws using nonlinear programming. 92h:49043 

Lyashevskii, S. E. see Kudin, V. F., 92a:49068 

Lysenko, A. I. Design of an optimal control of a discontinuous system with a moving 
interruption time. (Russian) 

Mouadeb, A. R. see Ahmed, N. U., 92j:49038 

Prishchepova, S. V. see Gabasov, R.; et al., 92m:49067 

Ragab, M. Z. On optimal linear control system. 

Rowland, J. D. L. (with Vinter, R. B.) Construction of optimal feedback controls. 
92¢:49030 

Schiattler, Heinz A local feedback synthesis of time-optimal stabilizing controls in 
dimension three. 92g:49032 

Sklyar, G. M. see Korobov, V. I., 92a:49066 

Smirnov, G. V. On the analytic construction of controllers. (Russian) 924:49072 

Taran, V.N. see Kovalenko, S. N., 92j:49040 

Vinter, R. B. see Rowland, J. D. L., 92c:49030 

Zelikin, M.1. (with Borosov, V. F.) Optimal synthesis containing chattering arcs and 
singular arcs of the second order. 92i:49056 

Zelikina, L. F. The invariants of optimal synthesis. (see 92d:93007) 


Items with secondary classifications in 49N35 

Baigelov, K. see Smagulov, Sh. S.; et al. 

Batyrkanov, Zh. I. (with Sharshenaliev, Zh. Sh.) Synthesis of an optimal stabilization law 
for the programmed motion of a nonlinear object. (Russian) 92i:93076 

Bidyuk, P.1. see Korbicz, Jézef; et al. 

Biyarov, T. N. see Smagulov, Sh. S.; et al. 

Blanchini, Franco Constrained control for uncertain linear systems. 92m:93039 

Bukov, V. N. (with Knyazev, I. A.) Robust optimal control. (Russian) 924:93050 

Cannarsa, Piermarco (with Frankowska, Halina) Some characterizations of optimal 
trajectories in control theory. 92j:49025 

Di Blasio, Gabriella Optimal control with infinite horizon for distributed parameter sy 


49N Miscellaneous topics 


49N50 


Egorov, Aleksandr Ivanovich (with Mikhailova, T. F.) Synthesizing an optimal control for a 
bounded-control thermal process. II. (Russian. English summary) 92h:93043 

Emirsajiow, Zbigniew A unified approach to optimal feedback in the infinite-dimensional 
linear-quadratic control problem with an inequality constraint on the trajectory or 
terminal state. 92m:49057 

Fomenko, A. V. Controlling the damping of waves that propagate in nonhomogeneous 
media. (Russian. English summary) 92a:93060 

Frankowska, Halina see Cannarsa, Piermarco, 92j:49025 

Gabasov, R. (with Kirillova, F. M.; Gaishun, P. V.; Prishchepova, S. V.) Synthesis of 
optimal controls on nonexact measurements of output signals. (Russian summary) 
92m:49066 

Gaishun, P. V. see Gabasov, R.; et al., 92m:49066 

Hermes, Henry Asymptotically stabilizing feedback controls. 92f:93100 

— Asymptotically stabilizing feedback controls and the nonlinear regulator problem. 
92¢e:93044 

Kirillova, F. M. see Gabasov, R.; et al., 92m:49066 

Knyazev, I. A. see Bukov, V. N., 924:93050 

Korbicz, Jézef (with Podladchikov, V.N.; Bidyuk, P. I.) Suboptimal control algorithm for 
discrete systems. (Russian summary) 

Kruglikov, S. V. On the separation principle in guaranteed control. 92j:93048 

Kugelmann, Bernd (with Pesch, Hans Josef) New general guidance method in constrained 
optimal control. I. Numerical method. 92b:49054a 

— (with Pesch, Hans Josef) New general guidance method in constrained optimal control. 
IL. Application to space shuttle guidance. 92b:49054b 

Lapin, S. V. Synthesis of approximate optimal controls of systems with polynomial 
nonlinearities by means of block-pulse function expansions. (Russian. English summary) 

Lasiecka, Irena Exponential stabilization of hyperbolic systems with nonlinear, unbounded 
perturbations—Riccati operator approach. 92m:47153 

Megretskii, A. V. Fixed points in systems with integral quadratic feedback. (Russian. 
English summary) 92i:47095 

Mikhailova, T. F. see Egorov, Aleksandr Ivanovich, 92h:93043 

Panteleev, A. V. Sufficient conditions for optimality for continuous stochastic control 
systems on the basis of an incomplete state vector. (Russian) 92a:49040 

Pesch, Hans Josef see Kugelmann, Bernd, 92b:49054a and 92b:49054b 

Podladchikov, V.N. see Korbicz, Jézef; et al. 

Prishchepova, S. V. see Gabasov, R.; et al., 92m:49066 

Sharshenaliev, Zh. Sh. see Batyrkanov, Zh. I., 92i:93076 

Smagulov, Sh. S. (with Biyarov, T. N.; Baigelov, K.) Synthesis of optimal control systems 
with a limited resource. (Russian) 


49N40 Open-loop controls 


Items with secondary classifications in 49N40 

Reid, D. W. (with Teo, Kok Lay) Optimal control problems with fuzzy system parameters. 
92k:49064 

Teo, Kok Lay see Reid, D. W., 92k:49064 


49N45 Inverse problems in calculus of variations 


Arnautu, Viorel On approximation of the inverse one-phase Stefan problem. 92d:49073 

Ibort, Luis Alberto (with Marin Solano, J.) On the inverse problem of the calculus of 
variations for a class of coupled dynamical systems. 92i:49057 

Marin Solano, J. see Ibort, Luis Alberto, 92i:49057 


Items with secondary classifications in 49N45 


Anderson, Ian M. (with Thompson, Gerard) The inverse problem of the calculus of 
variations for ordinary differential equations. 92k:58070 

Belishev, M. 1. (with Kurylév, Ya. V.) Boundary control, wave field continuation and 
inverse problems for the wave equation. 92h:35235 

Kurylév, Ya. V. see Belishev, M. I., 92h:35235 

Marmo, G. (with Morandi, Giuseppe; Rubano, C.) Symmetries in the Lagrangian and 
Hamiltonian formalism: the equivariant inverse problem. 92e:58061 

— (with Morandi, Giuseppe) On the inverse problem with symmetries, and the appearance 
of cohomologies in classical Lagrangian dynamics. 92m:58157 

Mimura, Fumitake (with Néno, Takayuki) Alternative approach to the inverse problem of 
Lagrangian dynamics in the multiple variational principle. 92e:70026 

Morandi, Giuseppe see Marmo, G.; et al., 92e:58061 and 92m:58157 

Néno, Takayuki see Mimura, Fumitake, 92e:70026 

Rubano, C. see Marmo, G.; et al., 92e:58061 

Stark, Philip B. Rigorous computer solutions of infinite-dimensional inverse problems. (see 
92a:00040) 

Thompson, Gerard see Anderson, Ian M., 92k:58070 


49N50 Inverse problems in optimal control theory 


Antipin, A. S. Inverse optimization problems and methods for their solution. 92k:49076 

Baumeister, Johann (with Kunisch, Karl) Identifiability and stability of a two-parameter 
estimation problem. 92a:49069 

Gilliam, David S. (with Lund, John R.; Mair, Bernard A.; Martin, Clyde Franklin) A 
regularization method for inverse heat conduction problems. (see 92g:93006) 

Gorbachév, N. V. (with Safunov, A. V.; Shukhov, A. G.) Synthesis and optimization 
algorithms based on the inverse problem concept. (Russian) 92a:49070 

Kunisch, Karl see Baumeister, Johann, 922:49069 

Li, Yong Zai see Wang, Yao Qing; et al., 92g:49033 

Lund, John R. see Gilliam, David S.; et al., (92g:93006) 

Mair, Bernard A. see Gilliam, David S.; et al., (92g:93006) 

Maksimov, V.I. On the stable solution of inverse problems for nonlinear distributed 





with constrained controls. 92¢:49014 


ys' . II. (Russian) 92k:49077 
Martin, Clyde Franklin see Gilliam, David S.; et al., (92g:93006) 





49N50 


Mehdi, Driss Solution of the inverse optimal control problem for a class of linear discrete 
time systems. 92m:49068 

Safunov, A. V. see Gorbachév, N. V.; et al., 92a:49070 

Shukhov, A. G. see Gorbachév, N. V.; et al., 92a:49070 

Wang, Yao Qing (with Li, Yong Zai) Design of a discrete-time optimal regulator with 
assigned closed-loop eigenvalues. (Chinese. English summary) 92g:49033 


Items with secondary classifications in 49N50 


Avdonin, S. A. (with Belishev, M. I.; Ivanov, S. A.) Boundary control and an inverse matrix 
problem for the equation u,, — ux, + V(x)u=0.(Russian) 924:35293 

Banks, H. T. (with Wade, J.G.) Weak tau approximations for distributed parameter 
systems in inverse problems. 92h:35234 

Belishev, M. I. see Avdonin, S. A.; et al., 92d:35293 

Chavent, Guy Quasi-convex sets and size x curvature condition, application to nonlinear 
inversion. 92i:49042 

Ivanov, S. A. see Avdonin, S. A.; et al., 92d:35293 

Janno, Jaan On an inverse problem for determining the creep function with a given 
boundary data close to a singular function. (see 92m:93001) 

Kim, A. V. (with Korotkii, A. 1; Osipov, Yu. S.) Inverse probl 
parabolic systems. (Russian) 92a:93034 

Korotkii, A. I. see Kim, A. V.; et al., 92a:93034 

Orudzhaliev, A. P. Numerical solution of a retrospective inverse problem in the mathemati- 
cal modeling of the heat conduction process. (Russian) 92¢:65110 

Osipov, Yu. S. see Kim, A. V.; et al., 92a:93034 

Wade, J.G. see Banks, H. T., 92h:35234 





of the dy ics of 


49N55 Noneconomic applications of optimal control theory and 
differential games [see also 90D25] 


Andreev, A. A. (with Chadaev, V. V.) A boundary value problem for a system of first-order 
equations with distributed parameters. (Russian) (see 92f:35003) 

Bermudez de Castro, Alfredo (with Martinez, Aurea; Rodriguez, Carmen) Un probléme de 
contréle ponctuel lié a l’emplacement optimal d’émissaires d’évacuation sous-marins. 
(English summary) [A pointwise control problem related to the optimal design of a 
wastewater outfall] 92h:49044 

Bonnard, B. (with Gauthier, Jean-Paul; de Morant, J.) Geometric time optimal control in 
batch reactors. 92h:49045 

Bulirsch, Roland (with Montrone, F.; Pesch, Hans Josef) Abort landing in the presence of 
windshear as a minimax optimal control problem. I. Necessary conditions. 92¢:49049 

— (with Montrone, F.; Pesch, Hans Josef) Abort landing in the presence of windshear as a 
minimax optimal control problem. II. Multiple shooting and homotopy. 92e:49050 

Canny, John F. (with Rege, Ashutosh; Reif, John Henry) An exact algorithm for kinody- 
namic planning in the plane. 92¢:49051 

Chadaev, V. V. see Andreev, A. A., (92f:35003) 

Cherenkova, A. A. Numerical solution of the problem of ensuring the required dynamic 
quality in the design of an automatic control system. (Russian) (see 92i:49002) 

Deaton, A. W. see Miele, A.; et al., 92b:49070 

Egorov, Aleksandr Ivanovich (with Mikhailova, T. F.) Synthesizing an optimal control for a 
bounded-control thermal process. I. (Russian. English summary) 924:49074 

Gangl, A. (with Gutenberger, J.; Wacker, Hansjérg) Approximate solution of a system of 
reservoir power plants by variational techniques. (see 92i:93006) 

Gao, Ling see Yu, Jing Yuan; et al., 92m:49069 and (924:93004) 

Gauthier, Jean-Paul see Bonnard, B.; et al., 92h:49045 

Gutenberger, J. see Gangl, A.; et al., (92i1:93006) 

Ivonis, E. A problem on the optimal control of a system of mechanical objects. (Russian. 
English and Lithuanian summaries) 

Kamen’, V. B. (with Spivakovskii, V. B.) On an optimal control problem. (see 92m:49004) 

Karbowski, A. Optimal control of single retention reservoir during flood: solution of 
deterministic, continuous-time problems. 92b:49067 

Kolmanovskii, V. B. (with Spivak, A. K.) Time-optimal control of a predator-prey system. 
(Russian) 92¢:49052 

Krasovskii, A. A. Bases for algorithm software for automatic optimal control of a flight. 
(Russian) 924:49075 

Le Dimet, Francois-Xavier Optimal control for data assimilation in meteorology. (see 
924:93004) 

Lee, Cho Seng (with Leitmann, George) Some stabilizing study strategies for a student- 
related problem under uncertainty. 92b:49068 

Leitmann, George see Lee, Cho Seng, 92b:49068 

Lipshutz, Robert J. (with Stone, Lawrence D.) Optimal resource extraction with uncertain 
reserves. 92i:49058 

Loop, R. P. H. see van Willigenburg, L. G. 

Miakela, Marko M. (with Mannikké, Timo) Nonsmooth optimization with industrial 
applications. (see 92i:93006) 

Mannikk6, Timo see Makeli, Marko M., (92i:93006) 

Martinez, Aurea see Bermudez de Castro, Alfredo; et al., 92h:49044 

Meirovitch, L. (with Sharony, Y.) Optimal vibration control of flexible spacecraft during a 
minimum-time maneuver. 92b:49069 

Miele, A. (with Wang, Tong; Deaton, A. W.) Properties of the optimal trajectories for 
coplanar, aeroassisted orbital transfer. 92b:49070 

Mikhailova, T. F. see Egorov, Aleksandr Ivanovich, 924:49074 

Montrone, F. see Bulirsch, Roland; et al., 92e:49049 and 92e:49050 

de Morant, J. see Bonnard, B.; et al., 92h:49045 

Muntean, Ioan On the computation of area of rotation surface with application to optimal 
design of auto tyre. (see 92m:00032) 

Pesch, Hans Josef see Bulirsch, Roland; et al., 92e:49049 and 92e:49050 

Redmond, Jim (with Silverberg, Larry) Fuel consumption in optimal control. 

Rege, Ashutosh see Canny, John F.; et al., 92e:49051 

Reif, John Henry see Canny, John F.; et al., 92e:49051 

Revenko, V. V. see Zavalishchin, S. T., 92g:49034 

Rodriguez, Carmen see Bermudez de Castro, Alfredo; et al., 92h:49044 





CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


Sharony, Y. see Meirovitch, L., 92b:49069 

Silverberg, Larry see Redmond, Jim 

Spivak, A. K. Numerical solution of an optimal control problem. (Russian. Tajiki summary) 
92a:49071 

— see also Kolmanovskii, V. B., 92e:49052 

Spivakovskii, V.B. see Kamen’, V. B., (92m:49004) 

Stewart, David Edward A problem decomposition technique with application to the optimal 
distribution of enzymes. 92k:49078 

Stone, Lawrence D. see Lipshutz, Robert J., 92i:49058 

Vujiti¢, Veljko A. A theorem in the problem of optimal control of mechanical systems. 
92d:49076 

Wacker, Hansjérg see Gangl, A.; et al., (92i:93006) 

Wang, Tong see Miele, A.; et al., 92b:49070 

van Willigenburg, L.G. (with Loop, R. P. H.) Computation of time-optimal controls 
applied to rigid manipulators with friction. 

You, Yun Cheng Nonlinear optimal control and synthesis of thermal nuclear reactors. 
92b:49071 

Yu, Jing Yuan (with Gao, Ling; Zhu, Guang Tian) The existence and the uniqueness of 
optimal control of population evolution systems. (see 92d:93004) 

— (with Gao, Ling; Zhu, Guang Tian) The existence and the uniqueness of optimal control 
of population evolution systems. (Chinese summary) 92m:49069 

Zavalishchin, S.T. (with Revenko, V. V.) Extension of nonregular optimal control 
problems of mechanical systems. (Russian) 92g:49034 

Zhao, Yue Yu Optimal control of controllable nonholonomic systems. (Chinese. English 
summary) 

Zhu, Guang Tian see Yu, Jing Yuan; et al., 92m:49069 and (92d:93004) 

Zhumatov, S.S. Construction of systems of equations of motion according to certain 
properties. (Russian. English and Kazakh summaries) 


Items with secondary classifications in 49N55 


Adamova, K.S. (with Kanibolot-skii, M. A.) Optimization of the structure of a vibration- 
damping screen under the action of a concentrated harmonic load. (Russian) 92m:73087 

Ahmed, N. U. see Lim, S.S. 

Arditi, R. see Botteron, Bernard 

Bauer, Jacek see Gutkowski, Witold; et al., 92c:73099 

Bermudez de Castro, Alfredo (with Martinez Varela, A.; Rodriguez-Fernandez, Celso) A 
point-control problem associated with the optimal placement of submarine conduits. 
(Spanish) 92a:49032 

— (with Martinez, Aurea) An application of optimal control theory to the sterilization of 
canned foods. (Spanish) 92a:49033 

Blanchon, G. (with Bonnans, Joseph Frédéric; Dodu, Jean-Claude) Application d’une 
méthode de programmation quadratique successive a l’optimisation des puissances dans 
les réseaux électriques de grande taille. (English summary) [Application of a recursive 
quadratic programming method to optimal power flows in large-scale electric power 
systems] 92¢:90114 

Bojadziev, George Management of food-chain systems via Liapunov design control. 
92g:93068 

Bonnans, Joseph Frédéric see Blanchon, G.; et al., 92e:90114 

Botteron, Bernard (with Arditi, R.) Central place foraging in nonpatchy habitats. 

Bressan, Aldo On some control problems concerning the ski or swing. (Italian summary) 
92h:49017 

Brient, J. see Carter, T. E., 92g:70023 

Buras, Nathan see Estalrich, Juan, 92e:90102 

Carter, T. E. Optimal impulsive space trajectories based on linear equations. 92g:70022 

— (with Brient, J.) Optimal bounded-thrust space trajectories based on linear equations. 
92g:70023 

Chambolle, Antonin Un théoréme de I’-convergence pour la segmentation des signaux. 
(English summary) [A I’-convergence theorem for signal segmentation] 92k:49015 

Chen, Yaobin Existence and structure of minimum-time control for multiple robot arms 
handling a common object. 92a:93069 

Chernous’ko, F. L. Synthesis of the control of a system with nonlinear resistance. (Russian) 
92m:70045 

Crouch, Peter E. (with Jackson, Joseph W.) A nonholonomic dynamic interpolation 
problem. 92j:41003 

Dodu, Jean-Claude see Blanchon, G.; et al., 92e:90114 

Estalrich, Juan (with Buras, Nathan) Alternative specifications of state variables in 
stochastic-dynamic-progr ing models of reservoir operation. 92e:90102 

Garnaev, A. Yu. see Sedykh, L. G., 92d:80004 

Gatto, Marino (with Ghezzi, L. L.; Rinaldi, Sergio) Optimal investment in the reclamation 
of eutrophic water bodies. 92m:92020 

Ghezzi, L. L. see Gatto, Marino; et al., 92m:92020 

Golubev, Yu. F. (with Seregin, I. A.; Khairullin, R. Z.) The rational successive linearization 
method in problems of optimal control during atmospheric descent of a spacecraft. 
(Russian. English summary) 92k:49067 

— (with Seregin, I. A.; Khairullin, R. Z.) The floating point method in problems of the 
optimization of motion during the descent of a spacecraft into the atmosphere. (Russian. 
English summary) 

Gulyaev, V. I. (with Koshkin, V. L.; Shinkar’, Yu. A.) Optimal control of the spatial 
orientation of a system of two bodies connected by an elastic rod. (Russian. English 
summary) 92j:70031 

Gunzburger, Max D. (with Hou, LiSheng; Svobodny, Thomas P.) Boundary velocity control 
of incompressible flow with an application to viscous drag reduction. 92k:49043 

Gutkowski, Witold (with Bauer, Jacek; Iwanow, Zdzislaw) Explicit formulation of Kuhn- 
Tucker necessary conditions in structural optimization. 92c:73099 

Helgason, Thorkell (with Wallace, Stein W.) Approximate scenario solutions in the 
progressive hedging algorithm. A numerical study with an application to fisheries 
management. 92¢:90046 

Hou, LiSheng see Gunzburger, Max D.; et al., 92k:49043 

Ivashkin, V. V. (with Raikunov, G. G.) Analysis of the optimality of two-impulse 
rendezvous maneuvers of two spacecraft in circular orbit. (Russian. English summary) 








849 1992 


92m:70046 

Iwanow, Zdzislaw see Gutkowski, Witold; et al., 92c:73099 

Jackson, Joseph W. see Crouch, Peter E., 92j:41003 

Kanibolot-skii, M. A. see Adamova, K. S., 92m:73087 

Khairullin, R. Z. see Golubev, Yu. F.; et al., 92k:49067 

Kharatishvili, G. L. General solution of the pendulum equation and the optimal control 
problem. (Russian. English and Georgian summaries) 

Khludnev, A. M. Optimal control in one-dimensional elastoplastic models. (Russian) 
92k:73057 

Koshkin, V. L. see Gulyaev, V. 1.; et al., 92j:70031 

Kovaleva, A.S. * Yupapnenue kone6aTesbHbIMH H BHOpoysapHbIMH CucTemamu. (Russian) 
[Control of oscillatory and vibro-impact systems] 92i:93002 

Kovalevskii, V. B. see Panasyuk, V. 1.; et al., 92¢e:49002 

Krut’ko, P. D. Optimization of control systems with respect to local functionals that 
characterize the energy of motion. (Russian) 92k:49036 

Krysov, Yu. A. Optimization of parametric systems based on aggregation of controls. 
(Russian) 92h:93009 

Kuang, Zhi Feng see Wang, Mian Sen; et al., (92d:93004) 

Lim, S.S. (with Ahmed, N. U.) Modeling and control of flexible space stations. 

Martinez, Aurea see Bermudez de Castro, Alfredo, 922:49033 

Martinez Varela, A. see Bermudez de Castro, Alfredo; et al., 92a:49032 

Moiseev, A. A. Optimal control under discrete control actions. (Russian) 92k:49048 

Molodtsov, D. A. Optimality principles as a mathematical model of human behavior. 
(Russian. English summary) 

Panasyuk, V.1. (with Kovalevskii, V. B.; Polityko, E. D.) * OntumansHoe ynpaBsenne B 
TexXHH¥eCKHX CucTeMax. (Russian) [Optimal control in engineering systems] 92e:49002 

Polityko, E. D. see Panasyuk, V. L.; et al., 92e:49002 

Raikunov, G. G. see Ivashkin, V. V., 92m:70046 

Rao, Nagaraj S. (with Roxin, Emilio O.) Controlled growth of competing species. 
92b:92045 

Rinaldi, Sergio see Gatto, Marino; et al., 92m:92020 

Rishel, Raymond Warren Controlled wear processes: modeling optimal control. 92f:93128 

Robinson, Lawrence W. Erratum: “Baseball playoff eliminations: an application of linear 
programming” [Oper. Res. Lett. 10 (1991), no. 2, 67-74; MR 91m:90103]. 

Rodriguez-Fernandez, Celso see Bermudez de Castro, Alfredo; et al., 92a:49032 

Rogers, Robert C. A nonlocal model for the exchange energy in ferromagnetic materials. 
92i:73027 

Roxin, Emilio O. see Rao, Nagaraj S., 92b:92045 

Sedykh, L. G. (with Garnaev, A. Yu.) Nonlinear differential equations in studying the 
dynamics of the adsorption process. (Russian) 92d:80004 

Seregin, I. A. see Golubev, Yu. F.; et al., 92k:49067 

Shinkar’, Yu. A. see Gulyaev, V. 1.; et al., 92j:70031 

Souli, Mahmed (with Zolésio, Jean-Paul) Le contréle de domaine dans le probléme de 
résistance de vague non linéaire en hydrodynamique. (English summary) [Control of the 
domain in the problem of resistance of nonlinear waves in hydrodynamics] 92m:76028 

Sritharan, S.S. An optimal control problem in exterior hydrodynamics. 92e:76018 

Strelkova, N. A. Optimal re-orientation of a rigid body. (Russian) 92i:70051 

Svobodny, Thomas P. see Gunzburger, Max D.; et al., 92k:49043 

Virnovskii, G. A. The design of waterflooding systems for oil fields by the methods of 
optimal control theory. (Russian) 92a:76085 

Wallace, Stein W. see Helgason, Thorkell, 92e:90046 

Wang, Mian Sen (with Kuang, Zhi Feng; Zhu, Guang Tian) Optimal control for a class of 
systems and its applications in the power factor optimization of the nuclear reactor. (see 
924:93004) 

Woodside, William The optimal strategy for running a race (a mathematical model for 
world records from 50 m to 275 km). 92h:00012 

Zavadskii, V.K. Conditionally optimal control in terminal systems with prediction. 
(Russian) 

Zhu, Guang Tian see Wang, Mian Sen; et al., (92d:93004) 

Zolésio, Jean-Paul see Souli, Mahmed, 92m:76028 


49N60 Regularity of solutions in the calculus of variations 


Bhattacharya, Tilak (with Leonetti, Francesco) A new Poincaré inequality and its 
application to the regularity of minimizers of integral functionals with nonstandard 
growth. 92i:49059 

Congedo, Giuseppe see De Giorgi, Ennio; et al., 92k:49079 

De Giorgi, Ennio (with Congedo, Giuseppe; Tamanini, Italo) Regularity problems for a 
new functional in the calculus of variations. (Italian. English summary) 92k:49079 

Fusco, Nicola (with Hutchinson, John E.) Partial regularity in problems motivated by 
nonlinear elasticity. 92k:49080 

Heil, Erhard Convex minimizers of variational problems. 92f:49014 

Hutchinson, John E. see Fusco, Nicola, 92k:49080 

Leonetti, Francesco On the regularity of w-minima. (Italian summary) 92i:49060 

— see also Bhattacharya, Tilak, 92i:49059 

Marchi, Silvana Boundary regularity for weighted quasi-minima. 92g:49035 

— A Wiener type criterion for weighted quasiminima. (Italian summary) 92f:49015 

Raymond, Jean-Pierre Lipschitz regularity of solutions of some asymptotically convex 
problems. 92d:49077 

Stroffolini, B. Global boundedness of solutions of anisotropic variational problems. (Italian 
summary) 92m:49070 

Sychev, M. A. On the regularity of solutions of a one-dimensional variational problem. 
(Russian) (see 92c:00016) 

— Regularity of solutions of some variational problems. (Russian) 92g:49036 

Tamanini, Italo see De Giorgi, Ennio; et al., 92k:49079 

Xu, Hai Xiang Regularity of minima of nondifferentiable functionals of higher order. 
(Chinese) 92b:49072 


Items with secondary classifications in 49N60 
Bauman, Patricia (with Phillips, Daniel; Owen, Nicholas C.) Maximal smoothness of 


49N Miscellaneous topics 


49N99 


solutions to certain Euler-Lagrange equations from nonlinear elasticity. 92m:73042 

Bethuel, Fabrice (with Brézis, Haim) Regularity of minimizers of relaxed problems for 
harmonic maps. 92i:58045 

Brézis, Haim see Bethuel, Fabrice, 92i:58045 

Choe, Hi Jun A regularity theory for a general class of quasilinear elliptic partial differential 
equations and obstacle problems. 92b:35068 

— Regularity for minimizers of certain degenerate functionals with nonstandard growth 
conditions. 92k:35110 

De Giorgi, Ennio Free discontinuity problems in calculus of variations. 92i:49004 

Dibos, Francoise (with Koepfler, Georges) Propriété de régularité des contours d’une image 
segmentée. (English summary) [Regularity property of the boundaries of a segmented 
image] 92i:49005 

Duzaar, Frank (with Fuchs, Martin?) Einige Bemerkungen iiber die Regularitat von 
stationaren Punkten gewisser geometrischer Variationsintegrale. (English summary) 
[Some comments on the regularity of stationary points of certain geometric variational 
integrals] 92d:49086 

Fuchs, Martin? see Duzaar, Frank, 924:49086 

Khodja, Khedoudja (with Moussaoui, Mohand) Régularité hélderienne des solutions d’un 
probléme aux limites unilatérales. (English summary) [Hélder regularity of the solutions 
of an elliptic problem with unilateral boundary conditions] 92b:35070 

Kilpelainen, Tero (with Ziemer, William P.) Pointwise regularity of solutions to nonlinear 
double obstacle problems. 92g:49006 

Koepfler, Georges see Dibos, Francoise, 92i:49005 

Laurence, Peter (with Stredulinsky, Edward) Existence of regular solutions with convex 
levels for semilinear elliptic equations with nonmonotone L! nonlinearities. I. An 
approximating free boundary problem. 92m:35279 

— (with Stredulinsky, Edward) Existence of regular solutions with convex level sets for 
semilinear elliptic equations with nonmonotone L! nonlinearities. II. Passage to the limit. 
92m:35280 

Lieberman, Gary M. Regularity of solutions to some degenerate double obstacle problems. 
92m:35102 

Moussaoui, Mohand see Khodja, Khedoudja, 92b:35070 

Owen, Nicholas C. see Bauman, Patricia; et al., 92m:73042 

Phillips, Daniel see Bauman, Patricia; et al., 92m:73042 

Shreve, Steven E. (with Soner, Halil Mete) A free boundary problem related to singular 
stochastic control. 92f:93130 

Soner, Halil Mete see Shreve, Steven E., 92f:93130 

Stefani, Gianna Regularity properties of the minimum-time map. 92h:49025 

Stredulinsky, Edward see Laurence, Peter, 92m:35279 and 92m:35280 

Wei, S. Walter Liouville theorems and regularity of minimizing harmonic maps into super- 
strongly unstable manifolds. 92m:58030 

Xu, Chao Jiang Subelliptic variational problems. (French summary) 92b:49008 

Yau, Stephen S.-T. Regularity for the Harvey-Lawson solutions to the complex Plateau 
problem. 92k:32017 

Zhang, Ke Wei! Energy minimizers in nonlinear elastostatics and the implicit function 
theorem. 92j:73021 

Ziemer, William P. see Kilpelaiinen, Tero, 92g:49006 


49N65 Applications of measurable selections to control theory 
[see also 28B20, 26E25] 


Dal Maso, Gianni (with Rampazzo, Franco) On systems of ordinary differential equations 
with measures as controls. 92g:49037 

Rampazzo, Franco see Dal Maso, Gianni, 92g:49037 

Tolstonogov, A. A. On the Scorza-Dragoni theorem for multivalued mappings with a 
variable domain. (Russian) 92f:49016 


Items with secondary classifications in 49N65 

Akemann, Charles A. (with Anderson, Joel) Lyapunov theorems for operator algebras. 
92e:46113 

Anderson, Joel see Akemann, Charles A., 92e:46113 

Zalmai, G. J. Optimality conditions and duality for multiobjective measurable subset 
selection problems. 92c¢:90097 

Zigmunt, V. Remarks on the superposition measurability of a multivalued function. 
(Russian) 92a:28010 


49N99 None of the above, but in this section 


Pesamosca, Giancarlo On the analytic solution of the 3-point Weber problem. (Italian 
summary) 924:49078 


Items with secondary classifications in 49N99 

Agrachév, A. A. (with Gamkrelidze, R. V.) Quasi-extremality for controllable systems. 
(Russian) 92b:49034 

Bauman, Patricia (with Owen, Nicholas C.; Phillips, Daniel) Maximum principles and 
a priori estimates for a class of problems from nonlinear elasticity. (French summary) 
92¢:35040 

Borisov, K. Yu. see Rubinov, A. M.; et al., 92h:90025 

Cabib, Elio (with Davini, Cesare; Ru, Chong Qing) A problem in the optimal design of 
networks under transverse loading. 92c:73098 

Davini, Cesare see Cabib, Elio; et al., 92c:73098 

Desnitskaya, V. N. see Rubinov, A. M.; et al., 92h:90025 

Dyatlov, V. P. Piecewise-positional correction laws for a control problem. (Russian) 
92b:90256 

Gamkrelidze, R. V. see Agrachév, A. A., 92b:49034 

Gotay, Mark J. A multisymplectic framework for classical field theory and the calculus of 
variations. I. Covariant Hamiltonian formalism. 92¢:58023 

Iwamoto, Seiichi Iterative integral versus dynamic programming. 92d:49054 

Matveenko, V. D. see Rubinov, A. M.; et al., 92h:90025 

Owen, Nicholas C. see Bauman, Patricia; et al., 92c:35040 





49N99 


Panchenkov, A. N. A new area of application for a class of ill-posed extremal problems. 
(Russian) 92m:76017 

Phillips, Daniel see Bauman, Patricia; et al., 92c:35040 

Pokotilo, V.G. Optimization of a priori observations. (Russian) 92e:93029 

Ru, Chong Qing see Cabib, Elio; et al., 92c:73098 

Rubinov, A. M. (with Borisov, K. Yu.; Desnitskaya, V. N.; Matveenko, V. D.) 
* OnTumambHoe ynpaBieHHe B arperHpOBaHHbIX MOeJIAX 9KOHOMHKH. (Russian) [Optimal 
control in aggregated models in economics] 92h:90025 

Shi, Ying Guang A kind of extremal problems. (Chinese summary) 92g:90172 

Vakhrameev, S. A. Smooth controllable systems of constant rank and linearizable systems. 
(Russian) 92b:49035 

Zaslavskii, A. Ya. Optimal trajectories in a model with discrete innovations. (Russian) 


49Qxx Manifolds [see also 58Fxx] 


49Q05 Minimal surfaces [see also 53A10, 58E12] 


Dierkes, Ulrich On the nonexistence of energy stable minimal cones. (French summary) 
92g:49038 

Fonseca, Irene The Wulff theorem revisited. 92¢:49053 

Lawlor, Gary R. A sufficient criterion for a cone to be area-minimizing. 924:49079 

Parks, Harold R. Numerical approximation of parametric oriented area-minimizing 
hypersurfaces. 92k:49081 

Visintin, Auguste Models of pattern formation. (French summary) 92a:49072 

— Generalized coarea formula and fractal sets. 92e:49054 

Wang, Guang Yin Euler equations for parametric integrals. (Chinese) 92j:49041 

Williams, Graham H. Least gradient problems. (see 92g:00031) 


Items with secondary classifications in 49Q05 

Baldo, Sisto (with Modica, Luciano) Nonuniqueness of minimal graphs. 92h:58044 

Callahan, Michael J. (with Hoffman, David A.; Meeks, William H., III) The structure of 
singly-periodic minimal surfaces. 92a:53005 

do Carmo, Manfredo Perdigio The index of a minimal surface. (see 92h:00023) 

Chavent, Guy Quasi-convex sets and size x curvature condition, application to nonlinear 
inversion. 92i:49042 

Cheng, Benny N. Nonunique solutions to the Plateau problem on symmetric spaces. 
924d:58039 

Choe, Jaigyoung The isoperimetric inequality for a minimal surface with radially connected 
boundary. 92g:53006 

Collin, Pascal (with Krust, R.) Le probléme de Dirichlet pour l’équation des surfaces 
minimales sur des domaines non bornés. (English summary) [The Dirichlet problem for 
the minimal surface equation in unbounded domains] 92m:53007 

Dierkes, Ulrich On singular variational problems. (see 92g:00031) 

Dubois-Violette, E. see Pansu, B., 92b:82124 

Floer, Andreas Elliptic methods in variational problems. 92k:58059 

Fomenko, A. T. (with Tuzhilin, Aleksei Avgustinovich) * Elements of the geometry and 
topology of minimal surfaces in three-dimensional space. 92m:53010 

Frohman, Charles The topological uniqueness of triply periodic minimal surfaces in R?. 
92e:53008 

Gackstatter, F. H. Hopf’s quadratic differential and a Weierstrass formula for general 
surfaces and surfaces of constant mean curvature. 92a:53007 

Giusti, Enrico Direct methods in the calculus of variations. (see 92h:00023) 

Griiter, Michael A geometric measure theory approach to exterior problems for minimal 
surfaces. 92k:49088 

Gulliver, Robert (with White, Brian Cabell) On convergence rates of harmonic maps near 
points of discontinuity. 92h:58052 

Hoffman, David A. Natural minimal surfaces. 92d:53010 

— (with Meeks, William H., III) Minimal surfaces based on the catenoid. 92c:53002 

— (with Meeks, William H., III) Limits of minimal surfaces and Scherk’s fifth surface. 
92a:53008 

— see also Callahan, Michael J.; et al., 92a:53005 

Hyde, S. T. see Lidin, S.; et al., 92a:53010 

Ivanov, A.O. Measure forms and new examples of stable and globally minimal surfaces. 
(Russian) 924:58040 

Jagy, William C. Minimal hypersurfaces foliated by spheres. 92b:53101 

Johnson, Gene Douglas An intrinsic characterization of a class of minimal surfaces in 
constant curvature manifolds. 92c:53041 

Jost, Jiirgen * Two-dimensional geometric variational problems. 92h:58045 

Klyachin, V. A. (with Miklyukov, V.M.) Maximal hypersurfaces of tubular type in 
Minkowski space. (Russian) 92k:53019 

Krust, R. see Collin, Pascal, 92m:53007 

Le Hong Van Relative calibrations and the problem of stability of minimal surfaces [in 
Topological and g ic hods of analysis (Russian), 122-136, Voronezh. Gos. Univ., 
Voronezh, 1989; MR 91d:58046]. (see 92b:58001) 

Lidin, S. (with Hyde, S. T.; Ninham, B. W.) Exact construction of periodic minimal 
surfaces: the I-WP surface and its isometries. (French summary) 92a:53010 

Meeks, William H., III see Callahan, Michael J.; et al., 92a:53005; Hoffman, David A., 
92a:53008 and 92c:53002 

Miklyukov, V.M. see Klyachin, V. A., 92k:53019 

Modica, Luciano see Baldo, Sisto, 92h:58044 

Ninham, B. W. see Lidin, S.; et al., 92a:53010 

Palmer, Bennett The conformal Gauss map and the stability of Willmore surfaces. 
92m:53103 

Pansu, B. (with Dubois-Violette, E.) Blue phases: experimental survey and geometrical 
approach. (French summary) 92b:82124 

(Primrose, E. J. F.) see Fomenko, A. T., 92m:53010 

Riviere, Tristan (with Shafrir, Itai) Asymptotic analysis of minimizing harmonic maps of 
regions bounded by two circles. (French summary) 92i:58046 








CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


Rosenberg, Harold see Sa Earp, Ricardo, 92c:53003 

Sa Earp, Ricardo (with Rosenberg, Harold) Some structure theorems for complete constant 
mean curvature surfaces with boundary a convex curve. 92¢:53003 

Sauvigny, Friedrich On immersions of constant mean curvature: compactness results and 
finiteness theorems for Plateau’s problem. 92e:53014 

Schiiffler, K. Minimalflachen auf Mébius-Bandern. (English and Russian summaries) 
[Minimal surfaces on Mobius strips] 92h:58046 

Shafrir, Itai see Riviere, Tristan, 92i:58046 

Shibata, Keiichi On the mean curvature of surface with boundary. 92a:58030 

Smale, Nathan An equivariant construction of minimal surfaces with nontrivial singular 
sets. 92i:53011 

Tabarrok, B. (with Xiong, Y.) Some variational formulations for minimum surfaces. 
92i:58042 

Taylor, Jean E. On the global structure of crystalline surfaces. 92g:53009 

Tomi, Friedrich An introduction to Plateau’s problem. 92a:58031 

— Plateau’s problem for minimal surfaces with a catenoidal end. 92m:53008 

Tuzhilin, Aleksei Avgustinovich see Fomenko, A. T., 92m:53010 

White, Brian Cabell see Gulliver, Robert, 92h:58052 

Xiong, Y. see Tabarrok, B., 92i:58042 

Ye, Rugang How to blow infinitely large soap bubbles with a fixed boundary. (French 
summary) 92b:58046 


49Q10 Optimization of the shape other than minimal surfaces 
[see also 73K40, 90C90] 


Barbu, Viorel (with Friedman, Avner) Optimal design of domains with free-boundary 
problems. 92a:49073 

Barozzi, Elisabetta (with Gonzalez, Eduardo H. A.) Mean curvature and variational 
problems. 92a:49074 

Bello, Juan A. (with Fernandez Cara, Enrique) Geometric control, differentiation with 
respect to domains and applications (Navier-Stokes). (Spanish) 92d:49080 

Brakke, Kenneth A. Minimal cones on hypercubes. 92k:49082 

— Minimal surfaces, corners, and wires. 92k:49083 

Burczyiiski, T. (with Fedeldinski, P.) Shape sensitivity analysis and optimal design of static 
and vibrating systems using the boundary element method. 92h:49046 

Buttazzo, Giuseppe (with Dal Maso, Gianni) Shape optimization for Dirichlet problems: 
relaxed formulation and optimality conditions. 92¢:49055 

Casas Renteria, Eduardo Optimality conditions and numerical approximations for some 
optimal design problems. 92i:49061 

Congedo, Giuseppe see Tamanini, Italo, 92m:49071 

Dal Maso, Gianni see Buttazzo, Giuseppe, 92¢:49055 

Delfour, Michel C. (with Zolésio, Jean-Paul) Analyse des problémes de forme par la 
dérivation des minimax. [Analysis of shape problems by minimax differentiation] 
92¢:49056 

— (with Zolésio, Jean-Paul) Velocity method and Lagrangian formulation for the computa- 
tion of the shape Hessian. 92j:49042 

Fang, Hua Jing (with Tu, Jian) Existence of optimal solutions to /! optimization design for 
control systems and suboptimal solutions. (Chinese. English summary) 

Fedelditiski, P. see Burczytiski, T., 92h:49046 

Fernandez Cara, Enrique see Bello, Juan A., 92d:49080 

Friedman, Avner see Barbu, Viorel, 92a:49073 

Gatarek, Dariusz (with Sokolowski, Jan) Shape sensitivity analysis of optimal control 
problems for stochastic parabolic equations. 92h:49047 

Gonzalez, Eduardo H. A. see Barozzi, Elisabetta, 92a:49074 

Kadoya, Atsushi (with Kenmochi, Nobuyuki) Shape optimization for multi-phase Stefan 
problems. 92d:49081 

Kawohl, Bernhard Regularity, uniqueness and numerical experiments for a relaxed optimal 
design problem. 92g:49039 

— (with Stara, Jana; Wittum, Gabriel) Analysis and numerical studies of a problem of shape 
design. 924:49082 

Kenmochi, Nobuyuki see Kadoya, Atsushi, 92d:49081 

Levitskii, B. E. Estimates for moduli of families of surfaces that envelop obstacles. 
(Russian) 92h:49048 

Litvinov, V.G. Domain shape optimization in mechanics. 92d:49083 

Liu, Wen Bin (with Rubio, J. E.) Optimal shape design for systems governed by variational 
inequalities. I. Existence theory for the elliptic case. 92k:49084a 

— (with Rubio, J. E.) Optimal shape design for systems governed by variational inequalities. 
II. Existence theory for the evolution case. 92k:49084b 

Lur’e, K. A. On a general concept in optimal material layout. 92h:49049 

Motreanu, Dumitru Morse functions in variational and boundary value problems. (see 
92m:49004) 

Myslitiski, A. Mixed variational approach for shape optimization in contact problem with 
prescribed friction. 92e:49057 

Rapotsevich, E. A. * MaTemaTuueckasd MOsenb 3aa4H ONTHMH3alHH topMbI O6acTH. 
(Russian) [A mathematical model of a problem on the optimization of the shape of a 
region] 92c:49031 

Rubio, J. E. see Liu, Wen Bin, 92k:49084a and 92k:49084b 

Sokolowski, Jan see Gatarek, Dariusz, 92h:49047 

Stara, Jana see Kawohl, Bernhard; et al., 92d:49082 

Tamanini, Italo (with Congedo, Giuseppe) Density theorems for local minimizers of area- 
type functionals. 92m:49071 

Tu, Jian see Fang, Hua Jing; et al. 

Wittum, Gabriel see Kawohl, Bernhard; et al., 92d:49082 

Zolésio, Jean-Paul see Delfour, Michel C., 92¢:49056 and 92j:49042 

Items with secondary classifications in 49Q10 

Banichuk, N. V. * Introduction to optimization of structures. 92a:73041 

Bauer, Jacek see Gutkowski, Witold; et al., 92c:73099 

Bellettini, Giovanni (with Paolini, Maurizio; Verdi, Claudio) T-convergence of discrete 
approximations to interfaces with prescribed mean curvature. (Italian summary) 








851 1992 


92a:49019 

Bello, Juan A. (with Fernandez Cara, Enrique; Simon, Jacques) Variation par rapport 
au domaine de I’énergie visqueuse dissipée dans un fluide de Navier-Stokes. (English 
summary) [Variation with respect to the domain of the viscous energy dissipated in a 
Navier-Stokes flow] 92k:76023 

Bénilan, Philippe (with Blanchard, Dominique; Ghidouche, Hamid) On a nonlinear system 
for shape memory alloys. 92f:35060 

Blanchard, Dominique see Bénilan, Philippe; et al., 92f:35060 

Cabuk, H. (with Modi, Vijay) Shape optimization analysis: first- and second-order 
necessary conditions. 92d:49032 

Delfour, Michel C. (with Zolésio, Jean-Paul) Anatomy of the shape Hessian. (French 
summary) 92k:35016 

Fairlie, D. B. Remarks on a paper of P. J. Olver: “Hyper-Jacobians, determinantal ideals 
and weak solutions to variational problems” [Proc. Roy. Soc. Edinburgh Sect. A 95 
(1983), no. 3-4, 317-340; MR 85c:58040]. 92i:58049 

Fernandez Cara, Enrique see Bello, Juan A.; et al., 92k:76023 

Fomenko, A. T. * The Plateau problem. Part I. 92e:01003 

— * The Plateau problem. Part II. 92e:01004 

Fuchs, Martin? Hypersurfaces of prescribed mean curvature enclosing a given body. 
92m:53011 

Ghidouche, Hamid see Bénilan, Philippe; et al., 92f:35060 

Golushkov, V.G. see Maslovskaya, L. V., 92i:73064 

Gutkowski, Witold (with Bauer, Jacek; Iwanow, Zdzislaw) Explicit formulation of Kuhn- 
Tucker necessary conditions in structural optimization. 92c:73099 

Hlavatek, Ivan (with Makinen, Raino) On the numerical solution of axisymmetric domain 
optimization problems. (Czech summary) 92f:65136 

— (with Lovigek, Jan) Optimal design of an elastic or elastoplastic beam with unilateral 
elastic foundation and rigid supports. (German and Russian summaries) 92m:73089 

Hutchinson, John E. Computing conformal maps and minimal surfaces. 92m:53012 

Iwanow, Zdzislaw see Gutkowski, Witold; et al., 92c:73099 

(Komkov, Vadim) see Banichuk, N. V., 92a:73041 

Liu, Wen Bin (with Rubio, J. E.) Local convergences and optimal shape design. 92k:49023 

Lovisek, Jaén Optimization of the thickness of layers of sandwich conical shells. 92b:49019 

— see also Hlavatek, Ivan, 92m:73089 

Lyle, S. (with Soan, P. H.) Optimal shape design of a simple harbour model. (see 
92m:65004) 

Makinen, Raino see Hlavatek, Ivan, 92f:65136 

Maslovskaya, L. V. (with Golushkov, V.G.) Mixed variational formulations of problems in 
the theory of shells. (Russian) 92i:73064 

Meeks, William H., III (with White, Brian Cabell) Minimal surfaces bounded by convex 
curves in parallel planes. 92e:53013 

Modi, Vijay see Cabuk, H., 92d:49032 

(Mrz, Z.) see Optimal design and control of structures, 92b:49003 

Neittaanmaki, Pekka Optimal shape design. (see 92i:93006) 

— Computer aided optimal structural design. 92k:73056 

(Olver, Peter J.) see Fairlie, D. B., 92i:58049 

Paolini, Maurizio see Bellettini, Giovanni; et al., 92a:49019 

Rubio, J. E. see Liu, Wen Bin, 92k:49023 

Salmenjoki, Kimmo * On numerical methods for shape design problems. 92i:65043 

Simon, Jacques see Bello, Juan A.; et al., 92k:76023 

Soan, P. H. see Lyle, S., (92m:65004) 

Sokotowski, Jan (with Sprekels, Jiirgen) Dynamical shape control and the stabilization of 
nonlinear thin rods. 92b:73034 

— see also Optimal design and control of structures, 92b:49003 

Souli, Mahmed (with Zolésio, Jean-Paul) Le contréle de domaine dans le probléme de 
résistance de vague non linéaire en hydrodynamique. (English summary) [Control of the 
domain in the problem of resistance of nonlinear waves in hydrodynamics] 92m:76028 

Sprekels, Jiirgen see Sokolowski, Jan, 92b:73034 

Taylor, Jean E. Crystals, in equilibrium and otherwise. 92c:58019 

Verdi, Claudio see Bellettini, Giovanni; et al., 92a:49019 

Vogelius, Michael A homogenization result for planar, polygonal networks. (French 
summary) 92j:94027 

White, Brian Cabell Existence of smooth embedded surfaces of prescribed genus that 
minimize parametric even elliptic functionals on 3-manifolds. 92¢:58048 

— see also Meeks, William H., III, 92e:53013 

Yang, Kichoon Minimal immersions of punctured compact Riemann surfaces in R?. 
92g:53011 

Yang, Qi Ping (with Zhu, Wei Yong) A symmetric dual theory of D-optimal design and its 
algorithm. (Chinese. English summary) 

Ye, Rugang On the existence of area-minimizing surfaces with free boundary. 92g:58023 

Zhu, Wei Yong see Yang, Qi Ping; et al. 

Zolésio, Jean-Paul see Delfour, Michel C., 92k:35016 and Souli, Mahmed, 92m:76028 


Items listed otherwise than by author 


Jabionna * Optimal design and control of structures. 92b:49003 
Optimal design and control of structures * Optimal design and control of structures. 
92b:49003 
Symposium: 
Optimal Design and Control of Structures * Optimal design and control of structures. 
92b:49003 


49Q12 Sensitivity analysis 


Items with secondary classifications in 49Q12 


Burczytiski, T. (with Fedeldinski, P.) Shape sensitivity analysis and optimal design of static 
and vibrating systems using the boundary element method. 92h:49046 

Delfour, Michel C. (with Zolésio, Jean-Paul) Velocity method and Lagrangian formulation 
for the computation of the shape Hessian. 92j:49042 

Fedelditiski, P. see Burczytiski, T., 92h:49046 


49Q Manifolds 


49Q20 
Zoelésio, Jean-Paul see Delfour, Michel C., 92j:49042 


49Q15 Geometric measure and integration theory, integral and 
normal currents [see also 28A75, 32C30, 58A25, 58C35] 


Almgren, Frederick J., Jr. Multi-functions mod v. 92f:49017 

Brandi, Primo (with Salvadori, Anna) On a class of variational integrals over BV varieties. 
(Italian summary) 92k:49085 

— (with Salvadori, Anna) Carathéodory extension process and applications to Weierstrass- 
type integrals. 92g:49040 

— (with Salvadori, Anna) The multiple integral of the calculus of variations for discontinu- 
ous surfaces. (Italian) 92m:49072 

David, Guy René Rectifiabilité quantifiée et le probléme du voyageur de commerce. 
[Quantified rectifiability and the travelling-salesman problem] (see 92f:35007) 

Duzaar, Frank (with Fuch, Martin) On integral currents with constant mean curvature. 
92k:49086 

Fuch, Martin see Duzaar, Frank, 92k:49086 

Hong, Suk Ho see Shikata, Yoshihiro, 92k:49087 

Levin, V. L. General Monge-Kantorovich problem and its applications in measure theory 
and mathematical economics. 92¢:49032 

Marcelli, Cristina (with Salvadori, Anna) A result on equiabsolute integrability. (Italian 
summary) 924:49084 

Pfeffer, Washek F. A descriptive definition of a variational integral and applications. 
92b:49073 

Rother, Wolfgang” (with Zahle,M.) Absolute curvature measures. II. 92m:49073 

Salvadori, Anna see Marcelli, Cristina, 92d:49084; Brandi, Primo, 92g:49040; 92k:49085 and 
92m:49072 

Shikata, Yoshihiro (with Hong, Suk Ho) A generalization of differential forms and its 
application. 92k:49087 

Tran Viet Dung On curves minimizing polyhedral functionals in R". 92b:49074 

Zahle, M. see Rother, Wolfgang”, 92m:49073 

Zheng, Quan! Robust analysis and global minimization of a class of discontinuous 
functions. II. 92b:49075 


Items with secondary classifications in 49Q15 

Abramov, A. P. Necessary conditions for an extremum in a space with a measure. (Russian) 
92a:49042 

Almgren, Frederick J., Jr. (with Lieb, Elliott H.) The (non)continuity of symmetric 
decreasing rearrangement. 92k:46045 

Ambrosio, Luigi (with Mortola, Stefano; Tortorelli, Vincenzo Maria) Functionals with 
linear growth defined on vector valued BV functions. 92j:49004 

Aviles, Patricio (with Giga, Yoshikazu) Variational integrals on mappings of bounded 
variation and their lower semicontinuity. 92d:49019 

Castaing, Charles (with Clauzure, P.) Lemme de Fatou multivoque. (English summary) [A 
multivalued Fatou lemma] 924:28004 

Cesari, Lamberto Existence of discontinuous absolute minima for certain multiple integrals 
without growth properties. (Italian summary) 92m:49017 

— (with Yang, Wei H.) Serrin integrals and second order problems of plasticity. 92i:73041 

Clauzure, P. see Castaing, Charles, 92d:28004 

Diamond, Phil Congruence classes of fuzzy sets form a Banach space. 92m:46113 

Fu, Joseph H. G. Kinematic formulas in integral geometry. 92c:53043 

Giga, Yoshikazu see Aviles, Patricio, 924:49019 

Harrison, Jenny (with Norton, Alec) Geometric integration on fractal curves in the plane. 
92m:28011 

Lawlor, Gary R. A sufficient criterion for a cone to be area-minimizing. 924:49079 

Lieb, Elliott H. see Almgren, Frederick J., Jr., 92k:46045 

Mortola, Stefano see Ambrosio, Luigi; et al., 92j:49004 

Norton, Alec see Harrison, Jenny, 92m:28011 

Rietan, Beloslav On the Kurzweil integral for functions with values in ordered spaces. I. 
(Russian and Slovak summaries) 92a:28009 

Tomarelli, Franco Signorini problem in Hencky plasticity. 92m:73114 

Tortorelli, Vincenzo Maria see Ambrosio, Luigi; et al., 92j:49004 

Yang, Wei H. see Cesari, Lamberto, 92i:73041 

Zhang, Xue Shan Nonexistence of stable currents in submanifolds of a product of two 
spheres. 92m:53119 


49Q20 Variational problems in a geometric measure-theoretic 
setting 

Ambrosio, Luigi see De Giorgi, Ennio, 92j:49043 

Balder, Erik J. A short proof of an existence result of ¥. L. Levin. (Russian summary) 
92b:49076 

Braides, Andrea (with D’Ancona, Piero) Perimeter on fractal sets. 92b:49077 

Chentsov, A. G. Finitely additive measures and extensions of some nonlinear extremal 
problems with asymptotic constraints. (Russian. English summary) 92h:49050 

Congedo, Giuseppe (with Tamanini, Italo) On the existence of solutions to a problem in 
multidimensional segmentation. (French summary) 924:49085 

D’Ancona, Piero see Braides, Andrea, 92b:49077 

De Giorgi, Ennio (with Ambrosio, Luigi) New functionals in the calculus of variations. 
(Italian. English summary) 92j:49043 

Duzaar, Frank (with Fuchs, Martin?) Einige Bemerkungen iiber die Regularitat von 
stationaren Punkten gewisser geometrischer Variationsintegrale. (English summary) 
[Some comments on the regularity of stationary points of certain geometric variational 
integrals] 92d:49086 

— (with Fuchs, Martin?) Einige Bemerkungen iiber die Existenz orientierter Mannig- 
faltigkeiten mit vorgeschriebener mittlerer Kriimmungsform. (English summary) [Some 
remarks on the existence of oriented manifolds with prescribed mean curvature form] 
92m:49074 

Fuchs, Martin? see Duzaar, Frank, 92d:49086 and 92m:49074 





49Q20 


Griiter, Michael A geometric measure theory approach to exterior problems for minimal 
surfaces. 92k:49088 

Kinderlehrer, David (with Pedregal, Pablo) Characterizations of Young measures generated 
by gradients. 92k:49089 

— (with Pedregal, Pablo) Caractérisation des mesures de Young associées 4 un gradient. 
(English summary) [Characterization of gradient Young measures] 92m:49075 

— (with Pedregal, Pablo) Weak convergence of integrands and the Young measure 
representation. 92m:49076 

Kudryavtsev, L. D. Variational problems with a different number of boundary conditions. 
(Russian) 92¢:49058 

Levin, V.L. A formula for the optimal value of the Monge-Kantorovich problem with a 
smooth cost function, and a characterization of cyclically monotone mappings. (Russian) 
92d:49087 

Morel, Jean-Michel (with Solimini, Sergio) Estimations de densité pour les frontiéres de 
segmentations optimales. (English summary) [Density estimates for the boundaries of 
optimal segmentations] 92a:49075 

Morgan, Frank The cone over the Clifford torus in R‘ is ®-minimizing. 92b:49078 

Pedregal, Pablo see Kinderlehrer, David, 92k:49089; 92m:49075 and 92m:49076 

Solimini, Sergio see Morel, Jean-Michel, 92a:49075 

Stoikova, L.S. On the partition of a domain of parameters in a Chebyshev extremal 
problem. (Russian. English summary) 92f:49018 

Tamanini, Italo see Congedo, Giuseppe, 92d:49085 

Visintin, Augusto Pattern evolution. 92m:49077a 

— Errata-corrige: “Pattern evolution”. 92m:49077b 


Items with secondary classifications in 49Q20 


Alberti, Giovanni A Lusin type theorem for gradients. 92g:26018 

Ambrosio, Luigi (with Tortorelli, Vincenzo Maria) Approximation of functionals 
depending on jumps by elliptic functionals via T-convergence. 92f:49003 

Bhattacharya, Kaushik Korn’s inequality for sequences. 92i:73030 

Bottaro Aruffo, Ada Representation of multivalued mappings by compact sets of integrable 
selections. (Italian. English summary) 92k:28022 

Brézis, Haim * Mathematical problems of liquid crystals. 92e:58049 

Buttazzo, Giuseppe (with Freddi, Lorenzo) Functionals defined on measures and applica- 
tions to non-equi-uniformly elliptic problems. (Italian summary) 92k:49020 

Castaing, Charles Quelques résultats de convergence des suites adaptées. [Some conver- 
gence results for adapted sequences] 92f:60079 

Chentsov, A.G. Asymptotic effectiveness and extensions in a class of finitely additive 
measures. (Russian) 92i:28014 

Chew, Soo Hong (with Zheng, Quan') * Integral global optimization. 92e:90002 

Dacorogna, Bernard (with Gangbo, W.; Subia, N.) Sur une généralisation de l’inégalité 
de Wirtinger. (English summary) [On a generalization of the Wirtinger inequality] 
92m:49028 

Dao Trong Thi Lagrangian calibrations on Hermitian manifolds. 92c¢:53039 

De Cicco, Virginia A lower semicontinuity result for functionals defined on BV(Q). 
92g:49009 

Duc, D. M. (with Eells, James) Regularity of exponentially harmonic functions. 92e:58052 

Duzaar, Frank (with Fuch, Martin) On integral currents with constant mean curvature. 
92k:49086 

Eells, James see Duc, D. M., 92e:58052 

Freddi, Lorenzo see Buttazzo, Giuseppe, 92k:49020 

Fuch, Martin see Duzaar, Frank, 92k:49086 

Fujiwara, Daisuke (with Takakuwa, Shéichiré) Correction to: “A varifold solution to the 
nonlinear wave equation of motion of a vibrating membrane” [Kodai Math. J. 9 (1986), 
no. 1, 84-116; MR 87f:35139]. 92h:35118 

Gangbo, W. see Dacorogna, Bernard; et al., 92m:49028 

Garkavi, A. L. (with Kaminskii, V.A.) An extremal problem in a space with a measure. 
(Russian) 924:28006 

Hutchinson, John E. Generating fractals. 92e:28002 

Jerison, David Prescribing harmonic measure on convex domains. 92k:31003 

Kaminskii, V. A. see Garkavi, A. L., 924:28006 

Kleiner, Bruce An isoperimetric comparison theorem. 92m:53056 

Klyachin, V. A. (with Miklyukov, V.M.) Maximal hypersurfaces of tubular type in 
Minkowski space. (Russian) 92k:53019 

Lami Dozo, E. Sur les équations de la plasticité. [On the equations of plasticity] 92k:73033 

Le Dret, Hervé * Problémes variationnels dans les multi-domaines. (French) [Variational 
problems in multidomains] 92k:73002 

Lee, Hung Hwan (with Yoo, Yoon-Jae) Area integrals associated with a measure on R”. 
92k:42026 

Lieberman, Gary M. The conormal derivative problem for equations of variational type in 
nonsmooth domains. 92h:35078 

Lin, Fang-Hua On nematic liquid crystals with variable degree of orientation. 92g:58024 

Massari, Umberto (with Tamanini, Italo) Regularity properties of optimal segmentations. 
92h:58055 

Matveev, A.S. Variational analysis in problems of the optimization of systems with 
distributed parameters, and vector-valued set functions. (Russian) 92d:49038 

Mealy, Jack Volume maximization in semi-Riemannian manifolds. 92k:53123 

Miklyukov, V. M. see Klyachin, V. A., 92k:53019 

Mu, Li Bin Uniqueness of energy minimizing maps for almost all smooth boundary data. 
92e:58056 

Pfeffer, Washek F. A Riemann type definition of a variational integral. 92c:26008 

Poon, Chi-Cheung Some new harmonic maps from B? to S?. 92e:58057 

Sternberg, Peter Vector-valued local minimizers of nonconvex variational problems. 
92¢:49016 

Subia, N. see Dacorogna, Bernard; et al., 92m:49028 

Takakuwa, Shéichiré see Fujiwara, Daisuke, 92h:35118 

Tamanini, Italo see Massari, Umberto, 92h:58055 

Tortorelli, Vincenzo Maria see Ambrosio, Luigi, 92f:49003 

Tran Viet Dung On curves minimizing polyhedral functionals in R". 92b:49074 

Yoo, Yoon-Jae see Lee, Hung Hwan, 92k:42026 


CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 


Zheng, Quan! see Chew, Soo Hong, 92e:90002 


49Q25 Surface area 


Brandi, Primo (with Salvadori, Anna) A quasi-additivity type condition and the integral 
over a BV variety. 92b:49079 

Duzaar, Frank (with Steffen, Klaus) Area minimizing hypersurfaces with prescribed volume 
and boundary. 92m:49078 

Salvadori, Anna see Brandi, Primo, 92b:49079 

Steffen, Klaus see Duzaar, Frank, 92m:49078 


49Q99 None of the above, but in this section 


Items with secondary classifications in 49Q99 

Alfaro, Manuel (with Conger, Mark; Hodges, Kenneth; et al.) The structure of singularities 
in ®-minimizing networks in R?. 92d:90106 

Bottaro Aruffo, Ada Functional estimations. (Italian. English summary) 92c:49011 

Brenier, Yann Polar factorization and monotone rearrangement of vector-valued functions. 
92d:46088 

Conger, Mark see Alfaro, Manuel; et al., 92d:90106 

Hodges, Kenneth see Alfaro, Manuel; et al., 92d:90106 

Jerison, David The first nodal line of a convex planar domain. 924:35210 

White, Brian Cabell Nonunique tangent maps at isolated singularities of harmonic maps. 
92e:58058 

Yakovlev, E.I. A two-end problem for a certain class of multivalued functionals. (Russian) 
92b:58043 


49Rxx Variational methods {For eigenvalues of 
operators, see 47A75.} 


49RO05 Variational approach to eigenvalues 


Moszyiski, Krzysztof (with Regifiska, Teresa) On a certain algorithm of eigenvalue 
localization for normal operators. 92a:49076 

Najman, B. (with Ye, Qiang) A minimax characterization for eigenvalues of Hermitian 
pencils. 92b:49080 

Regitiska, Teresa see Moszytiski, Krzysztof, 92a:49076 

Ye, Dongyi When is the greatest eigenvalue of a parametrized symmetric matrix a convex 
function of the parameter? 92m:49079 

Ye, Qiang see Najman, B., 92b:49080 


Items with secondary classifications in 49RO5 

Auchmuty, Giles Globally and rapidly convergent algorithms for symmetric eigenproblems. 
92h:65062 

Binding, P. A. (with Ye, Qiang) Variational principles without definiteness conditions. 
92k:47038 

— (with Ye, Qiang) Some general local variational principles. 92j:47037 

Bourquin, Frédéric (with Ciarlet, Philippe G.) Modeling and justification of eigenvalue 
problems for junctions between elastic structures. 92¢:73032 

Ciarlet, Philippe G. see Bourquin, Frédéric, 92c:73032 

Dell’Antonio, Gianfausto (with Nesi, V.) A scalar inequality which bounds the effective 
conductivity of composites. 92e:78002 

Kabe, D. G. A note on the orthogonal Procrustes problem. 92a:90059 

Knyazev, Andrei Vladimirovich * Brraucnenue co6cTBeHHBIX 3HaYCHHH H BEKTOPOB B 
CeTOYHBIX 3aa4aXx: arOpHTMbI H OWeHKH NorpemHoctH. (Russian) [Calculation of 
eigenvalues and eigenvectors in difference problems: algorithms and error estimates] 
92d:65005 

Kuznetsov, N.G. The variational method for determining the natural frequencies of 
oscillations of a fluid in a channel. (Russian) 92d:76014 

Leaci, Antonio (with Scolozzi, D.) Existence and multiplicity of nonlinear eigenvalues of 
the operator —A — g with respect to two obstacles. (Italian. English summary) 92a:35048 

Nesi, V. see Dell’Antonio, Gianfausto, 92e:78002 

Overton, Michael L. Large-scale optimization of eigenvalues. 92k:49030 

Schuricht, Friedemann Minimax principle for eigenvalue variational inequalities in the 
nonsmooth case. 92i:58052 

Scolozzi, D. see Leaci, Antonio, 92a:35048 

Ye, Qiang see Binding, P. A., 92j:47037 and 92k:47038 


49R10 Rayleigh-Ritz methods 

Laura, P. A. A. Optimization of eigenvalues according to Lord Rayleigh’s criterion. 
(Spanish) 92j:49044 

Vasil’eva, V. N. Error estimates for approximations with minimization of quadratic 
functionals. (Russian) (see 92i:49002) 


Items with secondary classifications in 49R10 


Minenko, A.S. The minimum problem for a class of integral functions with an unknown 
domain of integration. (Russian) 92j:35191 


49R15 Weinstein and Aronszajn methods, intermediate problems 


Beattie, Christopher (with Greenlee, W. M.) Improved convergence rates for intermediate 
problems. 92k:49090 

Brown, R. D. Monotone convergence theorems for variational triples with applications to 
intermediate problems. 92a:49077 

Greenlee, W. M. see Beattie, Christopher, 92k:49090 





853 1992 


Items with secondary classifications in 49R15 
Sharma, C.S. The order of zeros and poles of the Weinstein determinant. 92m:47043 


49R20 Linear operators in Hilbert spaces 


Lal, Shiva Narain (with Mukherjee, Rathindra Nath') Some simultaneous extremum 
problems in Hilbert space. 92b:49081 
Mukherjee, Rathindra Nath' see Lal, Shiva Narain, 92b:49081 


Items with secondary classifications in 49R20 

Rol'shchikov, V. E. Finite-dimensional approximation of an approximation gradient on a 
Hilbert space. (Russian) 92a:49008 

Szablowski, Pawel J. Minimization of quadratic functionals on cones in Hilbert spaces. 
92h:90136 

Vakhrameev, S. A. Hilbert manifolds with angles of finite codimension, and optimal control 
theory. (Russian) 92b:58057 


49R99 None of the above, but in this section 


Items with secondary classifications in 49R99 

Bakhvalov, N.S. (with Eglit, M. E.) Variational properties of averaged equations of 
periodic media. (Russian) 92k:73006 

Dal Maso, Gianni (with Morel, Jean-Michel; Solimini, Sergio) A variational method in 
image segmentation: existence and approximation results. 92m:49020 

Eglit, M. E. see Bakhvalov, N. S., 92k:73006 

Kemperman, J. H. B. On sets that are uniquely determined by a restricted set of integrals. 
92b:44010 

Kuzin, I. A. A variational method for determining the critical points of a functional and its 
application. (Russian) 92f:49002 

Morel, Jean-Michel see Dal Maso, Gianni; et al., 92m:49020 

Solimini, Sergio see Dal Maso, Gianni; et al., 92m:49020 


49S05 Variational principles of physics 


Tikochinsky, Y. Variation-iteration solution of the classical trajectory boundary value 
problem. 92j:49045 


Items with secondary classifications in 49S05 


Auchmuty, Giles The global branching of rotating stars. 92¢:85006 

Avellaneda, Marco see Laurence, Peter, 92c:76077 

Baiocchi, Claudio (with Pukhnachev, V. V.) Problems with unilateral constraints for 
Navier-Stokes equations, and the problem of a dynamic boundary angle. (Russian) 
92£:76030 

Bazzani, Armando (with Remiddi, E.; Turchetti, Giorgio) Variational approach to the 
integrals of motion for symplectic maps. 92a:58042 

Ben-Tal, Aharon (with Taylor, John E.) A unified model for elastoplastic structural analysis 
via dual variational principles. 92m:73118 

Blaquiére, A. Sufficiency conditions for existence of an optimal feedback control in 
stochastic mechanics. 92d:93120 

Chaperon, Marc Lois de conservation et géométrie symplectique. (English summary) 
[Conservation laws and symplectic geometry] 92¢:58068 

Chien, N. see Honein, T.; et al., 92d:58052 

Collins, Charles (with Kinderlehrer, David; Luskin, Mitchell) Numerical approximation of 
the solution of a variational problem with a double well potential. 92c:73015 

Dubois-Violette, E. see Pansu, B., 92b:82124 

Gittel, Hans-Peter Local entropy conditions in transonic potential flow problems. 
92m:76079 

Hayward, Geoffrey Gordon (with Louko, Jorma) Variational principles for nonsmooth 
metrics. 92a:83008 

Herrmann, G. see Honein, T.; et al., 92d:58052 

Honein, T. (with Chien, N.; Herrmann, G.) On conservation laws for dissipative systems. 
92d:58052 

Jiang, You Liang New nonlinear generalized variational principles. (Chinese. English 
summary) 92m:73119 

Kinderlehrer, David Recent developments in liquid crystal theory. 92b:76004 

— see also Collins, Charles; et al., 92c:73015 

Komarenko, A. N. Construction of positive-definite functionals by means of a quadratic 
form that arises in the theory of hydroelasticity. (Russian) 92g:73064 

Laurence, Peter (with Avellaneda, Marco) On Woltjer’s variational principle for force-free 
fields. 92¢:76077 

Louko, Jorma see Hayward, Geoffrey Gordon, 92a:83008 

Lusanna, Luca The second Noether theorem as the basis of the theory of singular La- 
grangians and Hamiltonian constraints. 92c:58037 

Laskin, Mitchell see Collins, Charles; et al., 92c:73015 

Mathew, George (with Vedan, M. J.) Generalized hydromechanical variational principle 
and Noether’s second theorein. 92j:76002 

Pansu, B. (with Dubois-Violette, E.) Blue phases: experimental survey and geometrical 
approach. (French summary) 92b:82124 

Pfirsch, D. (with Sudan, R. N.) Green’s functions in WKB approximation. 92h:35045 

Pukhnachev, V. V. see Baiocchi, Claudio, 92f:76030 

Remiddi, E. see Bazzani, Armando; et al., 92a:58042 

Stoki¢, DuSan An algorithm for determining Lagrange’s function by using the variational 
principle with vanishing parameter. (Russian and Serbo-Croatian summaries) 92b:70024 

Sudan, R. N. see Pfirsch, D., 92h:35045 

Taylor, John E. see Ben-Tal, Aharon, 92m:73118 

Turchetti, Giorgio see Bazzani, Armando; et al., 92a:58042 

Vedan, M. J. see Mathew, George, 92j:76002 

Willis, J. R. The structure of overall constitutive relations for a class of nonlinear 
composites. 92b:73012 


GEOMETRY 


51-03 


51-XX Geometry {For algebraic geometry, see 14- 
XX.} 


51-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 51-00 

Torner, Ginter (with Veldkamp, Ferdinand D.) Literature on geometry over rings. 
92h:51006 

Veldkamp, Ferdinand D. see Térner, Ginter, 92h:51006 


51-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Aleksandrov, A. D. (with Netsvetaev, N. Yu.) * Teometpua. (Russian) [Geometry] 
92k:51001 

Malakhov, A. I. * MiccnenopaHue reoMeTpH4ecKom CTpyKTypbI MHOTOMepHBIX uryp. 
(Russian) [Investigation of the geometric structure of multidimensional figures] 
92g:51001 

Netsvetaev, N. Yu. see Aleksandrov, A. D., 92k:51001 

Stolfi, Jorge * Oriented projective geometry. 92h:51001 


Items with secondary classifications in 51-01 

Abbott, Edwin Abbott * Flatland. 92m:01092 

Abeasis, Silvana * Algebra lineare e geometria. (Italian) [Linear algebra and geometry] 
92e:15001 

(Banchoff, Thomas) see Abbott, Edwin Abbott, 92m:01092 

Feiste, Uwe see Flachsmeyer, Jiirgen; et al., 92m:52045 

Flachsmeyer, Jirgen (with Feiste, Uwe; Manteuffel, Karl) * Mathematik und ornamentale 
Kunstformen. (German) [Mathematics and ornamental art forms] 92m:52045 

Heise, Werner (with Sérensen, Kay) Was Sie schon immer iiber affine Punktraume wissen 
wollten oder Keine Angst vor Translationen. (English summary) [Everything you always 
wanted to know about affine point spaces or Don’t be afraid of translations] 92k:51032 

Hernandez Suarez, Victor see Morales Gonzalez, Agustin; et al., (92m:00053) 

Honsberger, Ross * More mathematical morsels. 92b:00004 

Manteuffel, Karl see Flachsmeyer, Jiirgen; et al., 92m:52045 

Martel Moreno, José see Morales Gonzalez, Agustin; et al., (92m:00053) 

Morales Gonzalez, Agustin (with Moreno Martel, Ma. Dolores; Martel Moreno, José; 
Hernandez Suarez, Victor) An aesthetic component of mathematics: the golden number. 
(Spanish. English summary) (see 92m:00053) 

Moreno Martel, Ma. Delores see Morales Gonzalez, Agustin; et al., (92m:00053) 

Pareigis, Bodo * Analytische und projektive Geometrie fiir die Computer-Graphik. 
(German) [Analytic and projective geometry for computer graphics] 92m:65182 

Pasini, Antonio * Complementi di algebra e geometria. (Italian) [Complements of algebra 
and geometry] 92a:00011 

Sérensen, Kay see Heise, Werner, 92k:51032 


51-02 Research exposition (monographs, survey articles) 


Items with secondary classifications in 51-02 

Benz, Walter Grundlagen der Geometric. Urspriinge und Fortentwicklung anhand 
ausgewahlter Beispiele. [Foundations of gi y. Origins and evolution, using selected 
examples] 92c:51001 

Klee, Victor (with Wagon, Stan) * Old and new unsolved problems in plane geometry and 
number theory. 92k:00014 

Wagon, Stan see Klee, Victor, 92k:00014 





51-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Bauer, Friedrich L. Sternpolygone und Hyperwiirfel. [Starpolygons and hypercubes] 
92i:51001 

Benz, Walter Grundlagen der Geometrie. Urspriinge und Fortentwicklung anhand 
ausgewahlter Beispiele. [Foundations of geometry. Origins and evolution, using selected 
examples] 92c:51001 

Wille, Rudolf Symmetrie—Versuch einer Begriffsbestimmung. [Symmetry—attempt at a 
definition] 92b:51001 


Items with secondary classifications in 51-03 

Andersen, Kirsti Desargues’ method of perspective: its mathematical content, its connection 
to other perspective methods and its relation to Desargues’ ideas on projective geometry. 
92k:01011 

Apollonius of Perga * Conics. Books V-VII. 92e:01017 

(Archimedes) see Knorr, Wilbur R., 92a:01017 

(Arnold, V.1.) see Klein, Felix, 92d:01077 

Bosch i Casabd, Marianna Huygens, Newton and the radius of curvature. (Catalan) 
92b:01022 

Bromberg, S. (with Moreno Armella, Luis) Three milestones in the history of the 
foundations of geometry. 92d:01002 

(Caveing, Maurice) see Euclid, 92e:01012 

Cekrlija, Boris The fifth postulate and Lobachevskii geometry in works of indigenous 
mathematicians. (Serbo-Croatian) 924:01073 

Chandrasekhar, T. R. Non-Euclidean geometry from early times to Beltrami. 92j:01031 

(Desargues, Girard) see Andersen, Kirsti, 92k:01011 and de Sa, Carlos Correia, (92g:00024) 

Di Sieno, Simonetta (with Galuzzi, M.) Section V of the first book of the Principia. Newton 
and the “problem of Pappus”. (Italian) 92e:01031 

Estrada, Maria Fernanda On the origins of symplectic geometry. (Portuguese) (see 
92g:00024) 





51-03 


Euclid * Les éléments. Vol. 1. (French) [Elements. Vol. 1] 92e:01012 

Gallarati, Dionisio A Steiner theorem. (Italian) 92h:51032 

Galuzzi, M. see Di Sieno, Simonetta, 92e:01031 

(Gorodentsev, A. L.) see Klein, Felix, 92d:01077 

Gupta, Radha Charan An ancient approximate rule for the area of a polygon. 92i:01012 

Hayashi, Takao Narayana’s rule for a segment of a circle. 92a:51020 

(Heiberg, Johan Ludvig) see Euclid, 92e:01012 

(Kirillov, A. A.) see Klein, Felix, 92d:01077 

Klein, Felix * Jlexnuu 06 uxocazfpe ¥ pellieHHH ypaBHeHHH natok crenenu. (Russian) 
[Lectures on the icosahedron, and solutions of equations of the fifth degree] 92d:01077 

Knorr, Wilbur R. On Archimedes’ construction of the regular heptagon. 92a:01017 

Li, E. Herbert (with Tin, S.-K.) The Lobachevskiy’s function and related integrals. 
92j:01037 

(Lobachevskii, N.1.) see Li, E. Herbert, 92j:01037 

MacDonnell, Joseph * Jesuit geometers. 92¢:01082 

Moreno Armella, Luis see Bromberg, S., 92d:01002 

(Ollerenshaw, Kathleen) see Ollerenshaw point. Comment to: “Some personal delights in 
geometry—from earliest days to fractals” 

(Padberg, John W.) see MacDonnell, Joseph, 92e:01082 

Prakash Sarasvati, Svami Satya * Geometry in ancient India. 92e:01025 

de Sa, Carlos Correia The theories of involution and polarity in the work of G. Desargues. 
(Portuguese) (see 92g:00024) 

(Serre, Jean-Pierre) see Klein, Felix, 92d:01077 

Tin, S.-K. see Li, E. Herbert, 92j:01037 

Toepell, Michael The lost center of a circle. 92k:51025 

(Toomer, G. J.) see Apollonius of Perga, 92e:01017 

(Tyurin, A. N.) see Klein, Felix, 92d:01077 

(Vitrac, Bernard) see Euclid, 92e:01012 


Items listed otherwise than by author 

Biography: 
Apollonius of Perga see Apollonius of Perga, 92e:01017 

Ollerenshaw point. Comment to: “Some personal delights in geometry—from earliest days to 
fractals” The Ollerenshaw point. Comment to: “Some personal delights in geometry— 
from earliest days to fractals” [Bull. Inst. Math. Appl. 27 (1991), no. 4, 65-75] by K. 
Ollerenshaw. 


51-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Items with secondary classifications in 51-04 

Huang, Ming Applications of barycentric coordinates in mechanical proofs of theorems in 
geometry. (Chinese. English summary) 92g:03017 

Kolesova, G. see Lam, Clement W. H.; et al., 92j:51012 

Lam, Clement W. H. The search for a finite projective plane of order 10. 92b:51013 

— (with Kolesova, G.; Thiel, Larry Henry) A computer search for finite projective planes of 
order 9. 92j:51012 

Thiel, Larry Henry see Lam, Clement W. H.,; et al., 92j:51012 

Winkler, Franz Groébner bases in geometry theorem proving and simplest degeneracy 
conditions. 92d:13019 


51-06 Proceedings, conferences, collections, etc. 


(Hirschfeld, J. W.P.) see Advances in finite geometries and designs, 92f:51001 
(Hughes, Daniel R.) see Advances in finite geometries and designs, 92:51001 
(Longo, Giuseppe”) see Geometries, codes and cryptography, 92f:51002 
(Marchi, Mario) see Geometries, codes and cryptography, 92f:51002 

(Sgarro, Andrea) see Geometries, codes and cryptography, 92f:51002 

(Thas, J. A.) see Advances in finite geometries and designs, 92f:51001 


Items listed otherwise than by author 

Advances in finite geometries and designs * Advances in finite geometries and designs. 
92£:51001 

Chelwood Gate * Advances in finite geometries and designs. 92f:51001 

Conference: 

Finite Geometries and Designs * Advances in finite geometries and designs. 92f:51001 
Geometries, codes and cryptography * Geometries, codes and cryptography. 92f:51002 
School: 

Geometries, Codes and Cryptography * Geometries, codes and cryptography. 92f:51002 
Udine * Geometries, codes and cryptography. 92f:51002 


Items with secondary classifications in 51-06 
(Bhattacharya, Prabir) see Vision geometry, 922:00043 
(Gionfriddo, Mario) see Graphs, designs and combinatorial geometries, 92d:05004 
(Melter, Robert A.) see Vision geometry, 92a:00043 
(Rosenfeld, Azriel) see Vision geometry, 92a:00043 
Items listed otherwise than by author 
Catania * Graphs, designs and combinatorial geometries. 92d:05004 
Conference: 
Graphs, Designs and Combinatorial Geometries * Graphs, designs and combinatorial 
geometries. 92d:05004 
Contemporary Mathematics * Vision geometry. 92a:00043 
Graphs, designs and combinatorial geometries * Graphs, designs and combinatorial 
geometries. 924:05004 
Hoboken, NJ * Vision geometry. 92a:00043 
Session: 
Geometry Related to Computer Vision * Vision geometry. 922:00043 
Vision geometry * Vision geometry. 92a:00043 


GEOMETRY 


51Axx Linear incidence geometry 


51A05 General theory and projective geometries 


Clay, James R. An unexpected group isomorphism yields a surprising affine plane and more. 
(see 92h:00022) 

Gottlieb, Alex D. (with Lipman, Joseph) Group-theoretic axioms for projective geometry. 
92g:51002 

Lipman, Joseph see Gottlieb, Alex D., 92g:51002 

Muzalewski, Michal An algebraic axiom system for affine geometry. (Russian summary) 
92b:51002 

— (with Prazmowski, Krzysztof) On some geometric and algebraic systems associated with 
collineation group of a flag. 92d:51001 

Prazmowski, Krzysztof see Muzalewski, Michal, 92d:51001 

Schmidt, Stefan E. Projective spaces on partially ordered sets and Desargues’ postulate. 
92b:51003 


Items with secondary classifications in 51A05 


Blunck, Andrea Cross-ratios over local alternative rings. 92b:17056 

Hestenes, David (with Ziegler, Renatus) Projective geometry with Clifford algebra. 
92i:15020 

— The design of linear algebra and geometry. 92i:15021 

Stolfi, Jorge * Oriented projective geometry. 92h:51001 

Zanella, Corrado Defining topological projective spaces and topological Grassmann spaces. 
92a:51015 

Ziegler, Renatus see Hestenes, David, 92i:15020 


51A10 Homomorphism, automorphism and dualities 


Hartl, Johann Jordan-Basen projektiver Raume beziiglich linearer Selbstabbildungen. 
(English summary) [Jordan bases of projective spaces with respect to linear self- 
mappings] 92b:51004 

Kalhoff, Franz A note on places of quasifields. 92b:51005 

Kaya, Riistem A new proof for the transitive theorem of Moufang projective collineations. 
(Turkish. English summary) 92¢:51002 

Wahling, Heinz Isomorphismen zwischen scharf zweifach transitiven Permutationsgruppen 
und zwischen Kollineationsgruppen affiner Raume. [Isomorphisms between sharply 
doubly transitive permutation groups and between collineation groups of affine spaces] 
92j:51001 


Items with secondary classifications in 51A10 

Batten, Lynn Margaret (with Brown, Julia M. Nowlin) Group partitions, affine spaces and 
translation groups. 92j:51005 

Blunck, Andrea Cross-ratios in Moufang planes. 92j:51004 

Brown, Julia M. Nowlin see Batten, Lynn Margaret. 92j:51005 

Buekenhout, Francis The Higman-McLaughlin theorem for flag-transitive linear spaces. 
92a:20006 

Léger, Christian Opérations sur les cartes et métamorphoses de la catégorie des G- 
ensembles. (English summary) [Operations on maps and metamorphoses of the category 
of G-sets] 92k:18001 

Ryan, Charles T. Linear sections of the general linear group: a geometric approach. 
92i:51018 


51A15 Structures with parallelism 


Junkers, Wilhelm Uber eine Aquivalenzrelation auf der Menge der (orientierten) Dreiecke 
einer affinen Ebene und Kennzeichnungen des papposschen Falles. [On an equivalence 
relation on the set of (oriented) triangles of an affine plane and characterizations of the 
Pappos case] 92e:51001 

Marchi, Mario A configurational characterization of incidence loops which are incidence 
groups. 92e:51002 

Polonijo, Mirko Desargues systems and Ward quasigroups. (Serbo-Croatian summary) 
92e:51003 

Volenec, Vladimir A characterization of parallelogram spaces. 92k:51002 


Items with secondary classifications in 51A15 

Bonisoli, Arrigo On 2-transitive 3-nets. 92k:51010a 

— Addendum to: “On 2-transitive 3-nets”. 92k:51010b 

Eisele, Eberhard Topologische affine Ebenen mit nichtstetigem Parallelismus. (English 
summary) [Topological affine planes having noncontinuous parallelism] 92m:51032 

Gali¢, Radoslav U-k seminets of maximal degree. (Serbo-Croatian summary) 92h:51026 

Kist, Giinter (with Reinmiedl, Bernhard) Geradenmodelle der Mébius- und Burau- 
Geometrien. (English summary) [Line models of the Mébius and Burau geometries] 
92j:51006 

Marchi, Mario Configurations in incidence loops. 92m:51036 

Reinmiedl, Bernhard see Kist, Giinter, 92j:51006 


51A20 Configuration theorems 


Al-Dhahir, M. W. (with Benz, Walter; Ghalieh, K.) A groupoid of the ternary ring of a 
projective plane. 92h:51002 

BaStinec, Jaromir One configurational characterization of Ostrom nets. (Czech summary) 
92i:51002 

Benz, Walter see Al-Dhahir, M. W.; et al., 92h:51002 

Chval, Viliam (with Kopas, Melichar) Representation of quasiregular configurations. 
(Russian. English and Czech summaries) 92i:51003 

Ghalieh, K. see Al-Dhahir, M. W.; et al., 92h:51002 

Goodman, Jacob E. (with Pollack, Richard M.) The complexity of point configurations. 
92b:51006 

Kiss, Gy. A theorem about affine-regular n-gons. 92m:51001 





855 1992 


Kopas, Melichar see Chval, Viliam, 92i:51003 

Mendelsohn, N.S. (with Padmanabhan, R.; Wolk, Barry) Placement of the Desargues 
configuration on a cubic curve. 92k:51003 

Padmanabhan, R. see Mendelsohn, N. S.; et al., 92k:51003 

Pollack, Richard M. see Goodman, Jacob E., 92b:51006 

Wolk, Barry see Mendelsohn, N. S.; et al., 92k:51003 


Items with secondary classifications in 51A20 

Arnold, Hans-Joachim Uber einen relationalen Kalkiil zur Algebraisierung projektiver 
Ebenen. [On a relational calculus for the algebraization of projective planes] 92e:51004 

Giering, Oswald Maximale (m, n)-Punktkonfigurationen. [Maximal (m, n)-point configura- 
tions] 92f:52033 

Marchi, Mario Configurations in incidence loops. 92m:51036 

— A configurational characterization of incidence loops which are incidence groups. 
92e:51002 

Mazurovskii, V. F. Nonsingular configurations of k-dimensional subspaces of a (2k + 1)- 
dimensional real projective space. (Russian. English summary) 92j:51023 

Sturmfels, Bernd Computational algebraic geometry of projective configurations. 
92k:14059 


51A25 Algebraization [see also 12Kxx, 20N05] 


Arnold, Hans-Joachim Uber einen relationalen Kalkiil zur Algebraisierung projektiver 
Ebenen. [On a relational calculus for the algebraization of projective planes] 92e:51004 

Barlotti, Adriano (with Strambach, Karl) Multigroups and the foundations of geometry. 
92j:51002 

Kiechle, Hubert Lokal endliche André-Systeme. (English summary) [Locally finite André 
systems] 92i:51004 

Levi, Howard Geometric versions of some algebraic identities. 92a:51001 

Strambach, Karl see Barlotti, Adriano, 92j:51002 

Tallini, G. General multivalued algebraic structures and geometric spaces. 92j:51003 


Items with secondary classifications in 51A25 

Aslaksen, Helmer Restricted homogeneous coordinates for the Cayley projective plane. 
92h:51003 

Blunck, Andrea Cross-ratios in Moufang planes. 92j:51004 

Kalhoff, Franz Witt rings and semiorderings of planar ternary rings. 92c:11042 


51A30 Desarguesian and Pappian geometries 

Al-Dhahir, M. W. Geometric and algebraic aspects of four minor forms of the Pappus 
proposition. 92b:51007 

Dubikajtis, Lech Some extension of Desarguesian affine geometry. (Russian summary) 
92b:51008 

Witczyiiski, Krzysztof On Pappus’s theorem in the projective space P,,. 92k:51004 


Items with secondary classifications in 51A30 


André, Johannes Noncommutative geometry and graphs. 92g:05087 

Blunck, Andrea Cross-ratios in Moufang planes. 92j:51004 

Greferath, Marcus Zur Hypereb Igebraisierung in Desarguesschen projektiven Ver- 
bandsgeometrien. (English summary) [On the hyperplane algebraization in Desarguesian 
projective lattice geometries] 92m:51006 

Heilig, U. (with Pfister, Herbert) Characterization of free fall paths by a global or local 
Desargues property. 92h:83008 

Junkers, Wilhelm Uber eine Aquivalenzrelation auf der Menge der (orientierten) Dreiecke 
einer affinen Ebene und Kennzeichnungen des papposschen Falles. [On an equivalence 
relation on the set of (oriented) triangles of an affine plane and characterizations of the 
Pappos case] 92e:51001 

Muzalewski, Michal (with Prazmowski, Krzysztof) On some geometric and algebraic 
systems associated with collineation group of a flag. 92d:51001 

Pfister, Herbert see Heilig, U., 92h:83008 

Prazmowski, Krzysztof see Muzalewski, Michal, 92d:51001 

Schmidt, Stefan E. Projective spaces on partially ordered sets and Desargues’ postulate. 
92b:51003 

Sherk, F. A. The projective antecedent of the three reflection theorem. 92f:51012 





51A35 Non-Desarguesian affine and projective planes 

Aslaksen, Helmer Restricted homogeneous coordinates for the Cayley projective plane. 
92h:51003 

Blunck, Andrea Cross-ratios in Moufang planes. 92j:51004 

Folda, Kerstin (with Quaisser, Erhard) Reflection geometrical aspects in some special affine 
planes. (German and Russian summaries) 924:51002 

Pickert, Ginter Doppelebenen und Loops. (English summary) [Double planes and loops] 
92g:51003 

Quaisser, Erhard see Folda, Kerstin, 92d:51002 

Yaqub, Jill C. D.S. Translation ovoids over skew fields. 92f:51003 


Items with secondary classifications in 51A35 


Johnson, Norman Lloyd' Reguli in translation planes defined by flocks of hyperbolic 
quadrics. 92:51010 


51A40 Translation planes and spreads 


Batten, Lynn Margaret (with Brown, Julia M. Nowlin) Group partitions, affine spaces and 
translation groups. 92j:51005 

Brown, Julia M. Nowlin see Batten, Lynn Margaret, 92j:51005 

Havlicek, Hans Dual spreads generated by collineations. 92i:51005 

Herzer, Armin Nester von Reguli und metrische Geometrie. [Nests of reguli and metric 
geometry] 92k:51005 


51B Nonlinear incidence geometry 


51B10 


Kiss, Gy. Reflections on a class of non-Desarguesian finite affine planes. 92f:51004 

Kuppuswamy Rao, K. see Narayana Rao, M. L.; et al., 92k:51006 

Narayana Rao, M. L. (with Kuppuswamy Rao, K.; Subba Rao, G. V.) Translation 
complements of C-planes. V. (French summary) 92k:51006 

Subba Rao, G. V. see Narayana Rao, M. L.; et al., 92k:51006 


Items with secondary classifications in 51A40 

Czerwinski, Terry The collineation groups of the translation planes of order 25. 92i:51013 

Grundhéfer, Theo Projektivitatengruppen von Ebenen iiber endlichen Semikérpern. 
(English summary) [Groups of projectivities of planes over finite semifields] 92i:51014 

Herzer, Armin Ein Kriterium fiir Quasikérper A(F,T, (g;), (f;),”). [A criterion for 
quasifields A(F,T,(g;), (fj), m)] 92k:12007 

Hiramine, Yutaka (with Johnson, Norman Lloyd') Generalized André planes of order p’ 
that admit a homology group of order (p‘ — 1)/2. 92m:51016 

Sha, Vikram (with Johnson, Norman Lloyd') A geometric characterization of generalized 
Desarguesian planes. 92f:51007 

Johnson, Norman Lloyd! Flocks and partial flocks of quadric sets. 92a:51004 

— Reguli in translation planes defined by flocks of hyperbolic quadrics. 92f:51010 

— (with Pomareda, R.; Wilke, Fred W.) j-planes. 92c:51012 

— Homology groups, nearfields and reguli. 92k:51013 

— see also Sha, Vikram, 92£:51007 and Hiramine, Yutaka, 92m:51016 

Kiechle, Hubert Lokal endliche André-Systeme. (English summary) [Locally finite André 
systems] 92i:51004 

Nakagawa, Nobuo Some translation planes of order 11? which admit SL(2,9). 92c:51013 

Pomareda, R. see Johnson, Norman Lloyd; et al., 92c:51012 

Suetake, Chihiro Flag transitive planes of order g” with a long cycle /,.. as a collineation. 
92i:51016 

Wilke, Fred W. see Johnson, Norman Lloyd'; et al., 92c:51012 


51A45_ Incidence structures imbeddable into projective geometries 


Crapo, Henry Invariant-th ic hods in scene analysis and structural mechanics. 
92g:51004 


Items with secondary classifications in 51A45 

Cooperstein, B. N. (with Shult, E. E.) Geometric hyperplanes of embeddable Lie incidence 
geometries. 92m:51003 

Hirschfeld, J. W. P. Hermitian varieties. 92g:51010 

Jackson, Wen-Ai (with Piper, Fred; Wild, Peter) Nonembedding of non-prime-power 
unitals with point-regular group. 92m:05020 

Piper, Fred see Jackson, Wen-Ai; et al., 92m:05020 

Shult, E. E. see Cooperstein, B. N., 92m:51003 

Ueberberg, Johannes Blockades and Baer subspaces in finite projective spaces. 92h:51022 

Wild, Peter see Jackson, Wen-Ai; et al., 92m:05020 

Zanella, Corrado A characterization of the Grassmann space representing the h-flats in a 
topological projective space. (Italian summary) 92a:51017 








51A50 Polar geometry, symplectic spaces, orthogonal spaces 


Chen, Dong Sheng (with Wan, Zhe Xian) The characteristic polynomial of a geometric 
lattice in symplectic geometry over finite fields. 92m:51002 

Cooperstein, B. N. (with Shult, E. E.) Geometric hyperplanes of embeddable Lie incidence 
geometries. 92m:51003 

Fisher, P. H. (with Penttila, Tim) One-point extensions of polar spaces. 92g:51005 

Kreuzer, Alexander A remark on polar geometry. 92m:51004 

Liu, Yingsheng (with Wan, Zhe Xian) Pseudo-symplectic geometries over finite fields of 
characteristic two. 92k:51007 

Penttila, Tim see Fisher, P. H., 92g:51005 

Shult, E. E. see Cooperstein, B. N., 92m:51003 

Wan, Zhe Xian see Liu, Yingsheng, 92k:51007 and Chen, Dong Sheng; et al., 92m:51002 


Items with secondary classifications in 51A50 

Hanssens, G. Polarized spaces of polar rank three which are locally a direct product. 
92e:51020 

Ivanov, Aleksandr Anatolevich (with Shpektorov, S. V.) A characterization of the 
association schemes of Hermitian forms. 92a:05134 

Johnson, Norman Lloyd! Ovoids and translation planes revisited. 92e:51012 

Shpektorov, S. V. see Ivanov, Aleksandr Anatol‘evich, 92a:05134 


51Bxx Nonlinear incidence geometry 


51B05 General theory 


Herzer, Armin Charakterisierung von Kettengeometrien iiber semilokalen Algebren. (En- 
glish summary) [Characterization of chain geometries over semilocal rings] 92h:51004 

Karzel, H. Circle geometry and its application to code theory. 92m:51005 

Kroll, Hans-Joachim Unterraume von Kettengeometrien und Kettengeometrien mit 
Quadrikenmodell. [Subspaces of chain geometries and chain geometries with quadric 
model] 924:51003 


Items with secondary classifications in 51B05 
Artzy, R. Collineations of Benz planes over finite prime fields. 92¢:51026 


51B10 Mobius geometries 


Kist, Ginter (with Reinmiedl, Bernhard) Geradenmodelle der Mobius- und Burau- 
Geometrien. (English summary) [Line models of the Mébius and Burau geometries] 
92j:51006 

Lester, J. A. A Beckman-Quarles type theorem for Coxeter’s inversive distance. 92h:51005 





51B10 


Liu, Chun Lin Classification and identification of Mébius transformations in R>. (Chinese. 
English summary) 92¢:51003 

Maurer, Helmut Die von den harmonischen Involutionen einer euklidischen Mébiusebene 
erzeugte Gruppe. (English summary) [The group generated by the harmonic involutions 
of a Euclidean Mébius plane] 92e:51005 

Reinmiedl, Bernhard see Kist, Giinter, 92j:51006 

Schaal, Hermann Bemerkungen zur n-dimensionalen reellen Mébiusgeometrie. (Czech 
summary) [Remarks on n-dimensional real Mébius geometry] 92e:51006 


Items with secondary classifications in 51B10 

Faina, Giorgio Generalized ovoids. (Italian. English summary) 92c:51016 

Herzer, Armin Characterization of chain geometries of finite dimension by their automor- 
phism group. 92g:51007 

Kroll, Hans-Joachim Unterraume von Kettengeometrien und Kettengeometrien mit 
Quadrikenmodell. [Subspaces of chain geometries and chain geometries with quadric 
model] 92d:51003 


Paluszny, M. (with Wilker, John B.) A case of the 3-dimensional problem of Apollonius. 
92b:51036 


Thas, J. A. Solution of a classical problem on finite inversive planes. 92f:51011 
Wilker, John B. see Paluszny, M., 92b:51036 


51B15 Laguerre geometries 


Gozdalska, Krystyna On affine planes nonextensible to Laguerre planes and some related 
problems. (Czech summary) 92¢:51004 


Samaga, Hans-Joachim SchlieBungssdtze in Laguerre-Ebenen. (English summary) [Closure 
theorems in Laguerre planes] 92e:51007 


Items with secondary classifications in 51B15 


Kroll, Hans-Joachim Unterraume von Kettengeometrien und Kettengeometrien mit 
Quadrikenmodell. [Subspaces of chain geometries and chain geometries with quadric 
model] 924:51003 

Rigby, J. F. Cycles and tangent rays. 924:51013 

Steinke, Ginter F. On the structure of finite elation Laguerre planes. 92i:51026 

— The elation group of a 4-dimensional Laguerre plane. 92m:51035 


51B20 Minkowski geometries 


Ingarden, Roman S. (with Tamassy, L.) On parabolic trigonometry in a degenerate 
Minkowski plane. 92¢:51005 

Loginov, E. K. Alternative algebra methods in the special theory of relativity. (Russian. 
English summary) 92f:51005 

Tamassy, L. see Ingarden, Roman S., 92¢:51005 


Items with secondary classifications in 51B20 

Fiori, Carla (with Rinaldi, Gloria) Weakly regular and regular sets in Minkowski planes. 
92b:51018 

Knarr, Norbert Sharply transitive subsets of P'L(2, F) and spreads covered by derivable 
partial spreads. 92e:51019 

Liebscher, Dierck-Ekkehard * Relativitatstheorie mit Zirkel und Lineal. (German) 
[Relativity theory with ruler and compass] 92m:83006 

Quattrocchi, Pasquale (with Rinaldi, Gloria) Automorphisms of (B)-geometries. 
92h:51023 

Rinaldi, Gloria see Fiori, Carla, 92b:51018 and Quattrocchi, Pasquale, 92h:51023 

(Treder, Hans-Jiirgen) see Liebscher, Dierck-Ekkehard, 92m:83006 


51B25 Lie geometries 


Futornyi, V.M. see Ustimenko, V. A., 92b:51009 
Ustimenko, V. A. (with Futornyi, V.M.) On Hecke algebras corresponding to Tits 
geometries. (Russian summary) 92b:51009 


Items with secondary classifications in 51B25 

Dillon, Meighan I. Geometry and affine Lie algebras. 92b:17039 

Thorbergsson, Gudlaugur Isoparametric foliations and their buildings. 92d:53053 

Ustimenko, V. A. On embedding of some geometries and flag systems in Lie algebras and 
superalgebras. (Russian summary) 92b:17043 


51B99 None of the above, but in this section 


Items with secondary classifications in 51B99 


Kist, Ginter (with Reinmiedl, Bernhard) Geradenmodelle der MOébius- und Burau- 
Geometrien. (English summary) [Line models of the Mébius and Burau geometries] 
92j:51006 

Reinmiedl, Bernhard see Kist, Ginter, 92j:51006 


51C05 Ring geometry (Hjelmslev, Barbilian, etc.) 


Baker, Catharine A. (with Lane, Norman D.; Lorimer, J. W.) A coordinatization for 
Moufang Klingenberg planes. 924:51004 

Blunck, Andrea Projectivities in Moufang-Klingenberg planes. 92i:51006 

Cirlincione, Leonardo (with Enea, Maria Rosaria) A generalization of the cross ratio over a 
ring. (Italian. English summary) 92g:51006 

Enea, Maria Rosaria see Cirlincione, Leonardo, 92g:51006 

Herzer, Armin Characterization of chain geometries of finite dimension by their automor- 
phism group. 92g:51007 

Kreuzer, Alexander A system of axioms for projective Hjelmslev spaces. 92b:51010 

Lane, Norman D. see Baker, Catharine A.; et al., 92d:51004 

Lorimer, J. W. see Baker, Catharine A.; et al., 92d:51004 


GEOMETRY 1992 856 


Térner, Ginter (with Veldkamp, Ferdinand D.) Literature on geometry over rings. 
92h:51006 
Veldkamp, Ferdinand D. see Térner, Giinter, 92h:51006 


Items with secondary classifications in 51C05 


Herzer, Armin Charakterisierung von Kettengeometrien iiber semilokalen Algebren. (En- 
glish summary) (Characterization of chain geometries over semilocal rings] 92h:51004 

Kroll, Hans-Joachim Unterraume von Kettengeometrien und Kettengeometrien mit 
Quadrikenmodell. [Subspaces of chain geometries and chain geometries with quadric 
model] 924:51003 

Leissner, Werner Rings of stable rank 2 are Barbilian rings. 92i:16004 


51Dxx Geometric closure systems 


51D20 Combinatorial geometries [see also 05B25, 05B35] 


(Lindstrém, Bernt) see Strambach, Karl, 92a:51002 

(Marcu, Danut) see Strambach, Karl, 92a:51002 

Strambach, Karl (with Veldkamp, Ferdinand D.) Editorial statement: “On the representa- 
tions of projective geometries in algebraic combinatorial geometries” [Geom. Dedicata 
30 (1989), no. 3, 297-303; MR 90e:51012] by D. Marcu and “On p-polynomial represen- 
tations of projective geometries in algebraic combinatorial geometries” [Math. Scand. 63 
(1988), no. 1, 36-42; MR 90d:51012] by B. Lindstrém. 92a:51002 

Veldkamp, Ferdinand D. see Strambach, Karl, 92a:51002 


Items with secondary classifications in 51D20 

Migliorato, Renato Finite hypergroupoids and combinatoric spaces. 92g:20127 
Terao, Hiroaki Factorizations of the Orlik-Solomon algebras. 92m:52024 
Wenzel, Walter Projective equivalence of matroids with coefficients. 92e:05029 


ZiYber, B. 1. Algebraic geometry and combinatorics: a model-theoretic point of view. 
92m:05056 


51D25 Lattices of subspaces [see also 05B35] 
Greferath, Marcus Zur Hypereb Igebraisierung in Desarguesschen projektiven Ver- 


bandsgeometrien. (English summary) [On the hyperplane algebraization in Desarguesian 
projective lattice geometries] 92m:51006 





Items with secondary classifications in 51D25 

Hochstittler, W. (with Rieder, J.) A note on the lattice of 2-matroid-intersections. 
92h:05028 

Rieder, J. see Hochstattler, W., 92h:05028 


51Exx Finite geometry and special incidence structures 


Items with secondary classifications in 51Exx 


(Hirschfeld, J. W.P.) see Advances in finite geometries and designs, 92f:51001 

(Hughes, Daniel R.) see Advances in finite geometries and designs, 92f:51001 

(Thas, J. A.) see Advances in finite geometries and designs, 92f:51001 

Items listed otherwise than by author 

Advances in finite geometries and designs * Advances in finite geometries and designs. 
92£:51001 

Chelwood Gate * Advances in finite geometries and designs. 92f:51001 

Conference: 
Finite Geometries and Designs * Advances in finite geometries and designs. 92f:51001 


51E05 General block designs [see also 05B05] 


Assmus, E. F., Jr. (with Prince, Alan R.) Biplanes and near biplanes. 92k:51008 

Jackson, Wen-Ai A characterisation of P,,, among the symmetric designs using elations. 
92i:51007a 

— Elations and symmetric designs having projective subspaces. 92i:51007b 

Jungnickel, Dieter On the existence of small quasimultiples of affine and projective planes 
of arbitrary order. 92m:51007 

Kovachev, Kolcho A ternary structure for biplanes. 92h:51007 

Prince, Alan R. see Assmus, E. F., Jr., 92k:51008 

Spera, Antonino Giorgio On affine translation divisible designs. 92e:51008 

Steinacker, Angelika On the geometry of simplest designs. 92¢:51006 

Tonchev, Vladimir D. Unitals in the Hélz design on 28 points. 92¢:51007 


Items with secondary classifications in 51E05 

Bagchi, Bhaskar Corrigendum: “No extendable biplane of order nine” [J. Combin. Theory 
Ser. A 49 (1988), no. 1, 1-12; MR 89i:05043]. 92a:05020 

Cai, Tian Wen Constructing balanced incomplete block designs by using orthogonal 
geometries. (Chinese. English summary) 924:05015 

Hirschfeld, J. W. P. (with Storme, L.; Thas, J. A.; Voloch, J. F.) A characterization of 
Hermitian curves. 92d:51005 

Hoffman, D. G. (with Lindner, C. C.; Phelps, K. T.) Blocking sets in designs with block size 
4. 92£:05016 

Jungnickel, Dieter On A-ovals and difference sets. 92g:05031 

Lamken, E.R. 3-complementary frames and doubly near resolvable (v, 3, 2)-BIBDs. 
92e:05023 

Lindner, C.C. see Hoffman, D. G.; et al., 92f:05016 

Phelps, K. T. see Hoffman, D. G.; et al., 92f:05016 

Rahilly, Alan On a class of symmetric designs. 92k:05018 

Stanton, Ralph Gordon Some general considerations on packings. 92m:05059 

Storme, L. see Hirschfeld, J. W. P.; et al., 92d:51005 














857 





1992 





Thas, J. A. see Hirschfeld, J. W. P.; et al., 92d:51005 
Voloch, J. F. see Hirschfeld, J. W. P.; et al., 92d:51005 

Wei, Wan Di (with Yang, Ben Fu) Finite unitary geometries and PBIBDs. II. 92m:51021 
Yang, Ben Fu see Wei, Wan Di; et al., 92m:51021 


51E10 Steiner systems 


Bénéteau, L. The symplectic trilinear mappings: an algorithmic approach of the classifica- 
tion; case of the field GF(3). 92i:51008 

Etzion, Tuvi (with Hartman, Alan) Towards a large set of Steiner quadruple systems. 
92c:51008 

Hartman, Alan see Etzion, Tuvi, 92c:51008 

Neidhardt, Wolfgang Blocking sets in S(2,4,v). 92i:51009 

Tallini, G. Varieties of Steiner systems. (Italian. English summary) 92b:51011 


Items with secondary classifications in 51E10 

de Caen, D. (with Kreher, Donald L.; Radziszowski, Stanislaw P.; Mills, W. H.) On the 
covering of t-sets with (t + 1)-sets: C(9, 5,4) and C(10, 6,5). 92j:05046 

Colbourn, Charles J. (with Dinitz, Jeffrey H.; Stinson, Douglas R.) Spanning sets and 
scattering sets in Steiner triple systems. 92b:05011 

Dinitz, Jeffrey H. see Colbourn, Charles J.; et al., 92b:05011 

Fiiredi, Zolt4n Maximal independent subsets in Steiner systems and in planar sets. 
92¢:52006 

Kreher, Donald L. see de Caen, D.; et al., 92j:05046 

Migliorato, Renato Finite hypergroupoids and combinatoric spaces. 92g:20127 

Mills, W. H. see de Caen, D.; et al., 92j:05046 

Radziszowski, Stanislaw P. see de Caen, D.; et al., 92j:05046 

Stinson, Douglas R. see Colbourn, Charles J.; et al., 92b:05011 

Zeitler, Herbert About special classes of Steiner systems S$(2,4,v). 92i:05040 


51E12 Generalized quadrangles, generalized polygons 


Bader, L. Flocks of cones and generalized hexagons. 92h:51008 

Brouwer, A. E. A nondegenerate generalized quadrangle with lines of size four is finite. 
92m:51008 

Cameron, Peter J. (with Fisher, P.H.) Small extended generalized quadrangles. 92a:51003 

— Covers of graphs and EGQs. 92k:51009 

Del Fra, A. (with Ghinelli-Smit, Dina; Pasini, Antonio) Diameter bounds for an EGQ. 
92j:51007 

Fisher, P. H. (with Hobart, S. A.) Triangular extended generalized quadrangles. 92c:51009 

— see also Cameron, Peter J., 92a:51003 

Ghinelli-Smit, Dina see Del Fra, A.; et al., 92j:51007 

Hobart, S. A. see Fisher, P. H., 92c:51009 

Kantor, William M. Automorphism groups of some generalized quadrangles. 92m:51009 

— Generalized quadrangles, flocks, and BLT sets. 92i:51010 

Kiss, Gy. A generalization of Ostrom’s theorem in generalized n-gons. 92j:51008 

Pasini, Antonio see Del Fra, A.; et al., 92j:51007 

Payne, Stanley E. The generalized quadrangle with (s, t) = (3,5). 92m:51010 

— see also Thas, J. A.; et al., 92e:51009 

Rogers, Laurel Characterization of the kernel of certain translation generalized quandran- 
gles. 92h:51009 

Thas, J. A. (with Payne, Stanley E.; Van Maldeghem, Hendrik J.) Half Moufang implies 
Moufang for finite generalized quadrangles. 92e:51009 

Van Maldeghem, Hendrik J. Common characterizations of the finite Moufang polygons. 
92):51009 

— Acharacterization of the finite Moufang hexagons by generalized homologies. 92j:51010 

— see also Thas, J. A.; et al., 92e:51009 


Items with secondary classifications in 51E12 


De Soete, Marijke Geometric threshold schemes. 92j:94010 

Evans, David M. (with Hrushovski, Ehud) Projective planes in algebraically closed fields. 
92a:05031 

Hrushovski, Ehud see Evans, David M., 92a:05031 

Ivanov, Aleksandr Anatol’evich (with Shpektorov, S. V.) A characterization of the 
association schemes of Hermitian forms. 92a:05134 

Pasechnik, D. V. Dual linear extensions of generalised quadrangles. 92m:51028 

Payne, Stanley E. (with Thas, J. A.) Conical flocks, partial flocks, derivation, and 
generalized quadrangles. 92f:51006 

Pica, Giustina Ott-Liebler numbers. 92i:51025 

Shpektorov,S. V. see Ivanov, Aleksandr Anatol’evich, 92a:05134 

Thas, J. A. see Payne, Stanley E., 92f:51006 . 

Van Maldeghem, Hendrik J. An algebraic characterization of affine buildings of type C>. 
92g:51017 

Weiss, Richard Mark A geometric characterization of the groups M)2, He and Ru. 
92k:20076 


51E14 Finite partial geometries (general), nets, partial spreads 


Beutelspacher, Albrecht (with Ueberberg, Johannes) A characteristic property of geometric 
t-spreads in finite projective spaces. 92g:51008 

Bonisoli, Arrigo On 2-transitive 3-nets. 92k:51010a 

— Addendum to: “On 2-transitive 3-nets”. 92k:51010b 

Buekenhout, Francis More geometry for Hering’s 3°: SL(2, 13). 92m:51011 

Burian, Kvétoslav Nearaffine 3-nets. (Czech summary) 92b:51012 

— Nearaffine 3-nets. II. (Czech summary) 92i:51011 

Del Fra, A. (with Ghinelli-Smit, Dina; Pasini, Antonio) One diagram for many geometries. 
92m:51012 

— (with Ghinelli-Smit, Dina) Diameter bounds for locally partial geometries. 92h:51010 

Ghinelli-Smit, Dina see Del Fra, A., 92h:51010 and 92m:51012 


51E Finite geometry and special incidence structures 


51E15 





Hachenberger, Dirk Constructions of large translation nets with nonabelian translation 
groups. 92h:51011 

Heden, Olof A greedy search for maximal partial spreads in PG(3, 7). 92m:51013 

Johnson, Norman Lloyd' Maximal partial spreads and central groups. 92e:51010 

— Flocks and partial flocks of quadric sets. 92a:51004 

— A group-theoretic characterization of finite derivable nets. 92¢:51010 

Metsch, Klaus Improvement of Bruck’s completion theorem. 92m:51014 

Moorhouse, G. Eric Bruck nets, codes, and characters of loops. 92i:51012 

Pasini, Antonio see Del Fra, A.; et al., 92m:51012 

Payne, Stanley E. (with Thas, J. A.) Conical flocks, partial flocks, derivation, and 
generalized quadrangles. 92f:51006 

Thas, J. A. see Payne, Stanley E., 92f:51006 

Ueberberg, Johannes see Beutelspacher, Albrecht, 92g:51008 


Items with secondary classifications in 51E14 

Knarr, Norbert Sharply transitive subsets of P'L(2, F) and spreads covered by derivable 
partial spreads. 92e:51019 

Lo Re, Pia Maria see de Vito, Paola, 92e:51021 

Spera, Antonino Giorgio (s,k,A)-partitions of a vector space. 92c:51022 

de Vito, Paola (with Lo Re, Pia Maria) Linear spaces with n? + n + 1 points and n? + 3n 
lines. (Italian. English summary) 92e:51021 


51E15 Affine and projective planes 


Arasu, K.T. (with Pott, Alexander) On quasiregular collineation groups of projective 
planes. 92h:51012 

Barriga, Oscar E. A characterization of Hering’s plane of order 27. 92j:51011 

— (with Mason, Geoffrey) Spread-invariant representations of L2(2”) and a characteriza- 
tion of some Ott-Schaefer planes. 92c:51011 

Brown, Julia M. Nowlin On abelian collineation groups of finite projective planes. 
92k:51011 

Czerwinski, Terry The collineation groups of the translation planes of order 25. 92i:51013 

Dempwolff, U. The projective planes of order 16 admitting SL(3, 2). (Serbo-Croatian 
summary) 92k:51012 

Francot, Eliana Some new examples of derived semifield planes with affine elations. 
92m:51015 

Gongalves, A. T. see Ho, Chat Yin, 92m:51017 

Grundhéfer, Theo Projektivitatengruppen von Ebenen iiber endlichen Semikérpern. 
(English summary) [Groups of projectivities of planes over finite semifields] 92i:51014 

Hiramine, Yutaka Factor sets associated with regular collineation groups. 92i:51015 

— (with Johnson, Norman Lloyd!) Generalized André planes of order p‘ that admit a 
homology group of order (p‘ — 1)/2. 92m:51016 

Ho, Chat Yin (with Goncalves, A. T.) On totally irregular simple collineation groups. 
92m:51017 

Jha, Vikram (with Johnson, Norman Lioyd') A geometric characterization of generalized 
Desarguesian planes. 92:51007 

Johnson, Norman Lloyd! (with Pomareda, R.; Wilke, Fred W.) j-planes. 92c:51012 

— Homology groups, nearfields and reguli. 92k:51013 

— see also Jha, Vikram, 92f:51007 and Hiramine, Yutaka, 92m:51016 

Key, Jennifer D. (with Mackenzie, Kirsten) An upper bound for the p-rank of a translation 
plane. 92a:51005 

Kolesova, G. see Lam, Clement W. H.; et al., 92j:51012 

Lam, Clement W. H. The search for a finite projective plane of order 10. 92b:51013 

— (with Kolesova, G.; Thiel, Larry Henry) A computer search for finite projective planes of 
order 9. 92j:51012 

Mackenzie, Kirsten see Key, Jennifer D., 92a:51005 

Mason, Geoffrey see Barriga, Oscar E., 92c:51011 

Nakagawa, Nobuo Some translation planes of order 11? which admit SL(2,9). 92c:51013 

Narayana Rao, M. L. (with Satyanarayana, K.; Rao, K. M. Arjuna) A flag transitive plane 
of order 49 and its translation complement. 92a:51006 

Pomareda, R. see Johnson, Norman Lloyd’; et al., 92c:51012 

Pott, Alexander see Arasu, K. T., 92h:51012 

Rao, K. M. Arjuna see Narayana Rao, M. L.; et al., 92a:51006 

Satyanarayana, K. see Narayana Rao, M. L.; et al., 92a:51006 

Suetake, Chihiro Flag transitive planes of order g” with a long cycle /... as a collineation. 
921:51016 

Thiel, Larry Henry see Lam, Clement W. H.; et al., 92j:51012 

Wilke, Fred W. see Johnson, Norman Lloyd’; et al., 92c:51012 


Items with secondary classifications in 51E15 

Abatangelo, Vito (with Larato, Bambina; Rosati, L. A.) Unitals in planes derived from 
Hughes planes. 92f:51008 

Assmus, E. F., Jr. (with Key, Jennifer D.) Affine and projective planes. 92e:51017a 

— (with Key, Jennifer D.) Translation planes and derivation sets. 92e:51018a 

— (with Key, Jennifer D.) Corrigendum: “Affine and projective planes”. 92e:51017b 

— (with Key, Jennifer D.) Correction: “Translation planes and derivation sets”. 92e:51018b 

Batten, Lynn Margaret Blocking sets with flag transitive collineation groups. 92b:51014 

— A dual approach to embedding the complement of two lines in a finite projective plane. 
92k:51019 

Bruen, A. A. (with Ott, U.) On the p-rank of incidence matrices and a question of E. S. 
Lander. 924:05036 

Conway, John Horton (with Norton, Simon P.; Soicher, Leonard H.) The Bimonster, the 
group Ys55, and the projective plane of order 3. 92f:20018 

Evans, Anthony B. On elementary abelian Cartesian groups. 92d:20077 

Glynn, David G. The construction of self-dual binary codes from projective planes of odd 
order. 92h:94032 

Hanson, Jill (with Kallaher, Michael J.) Finite Bol quasifields are nearfields. 92b:51024 

Johnson, Norman Lloyd! Ovoids and translation planes revisited. 92e:51012 

Kallaher, Michael J. see Hanson, Jill, 92b:51024 

Key, Jennifer D. see Assmus, E. F., Jr., 92e:51017a; 92e:51017b; 92e:51018a and 92e:51018b 







51E15 


Kiss, Gy. Reflections on a class of non-Desarguesian finite affine planes. 92f:51004 

Kuppuswamy Rao, K. see Narayana Rao, M. L.; et al., 92k:51006 

Larato, Bambina see Abatangelo, Vito; et al., 92f:51008 

Liebler, Robert A. The classification of distance-transitive graphs of type q - Kg,q. 92c:05078 

Mazzocca, Francesco Blocking sets with respect to special families of lines and nuclei of 6,- 
sets in finite n-dimensional projective and affine spaces. 92h:51017 

Narayana Rao, M. L. (with Kuppuswamy Rao, K.; Subba Rao, G. V.) Translation 
complements of C-planes. V. (French summary) 92k:51006 

Norton, Simon P. see Conway, John Horton; et al., 92f:20018 

Ott, U. see Bruen, A. A., 92d:05036 

Pless, Vera S. Codes and designs—existence and uniqueness. 92m:05027 

Rosati, L. A. see Abatangelo, Vito; et al., 92f:51008 

Soicher, Leonard H. More on the group Yss5 and the projective plane of order 3. 924:20020 

— see also Conway, John Horton; et al., 92f:20018 

Steinacker, Angelika On the geometry of simplest designs. 92c:51006 

Subba Rao, G. V. see Narayana Rao, M. L.; et al., 92k:51006 


51E20 Combinatorial structures in finite projective spaces 
[see also OSBxx] 


Abatangelo, Vito (with Larato, Bambina; Rosati, L. A.) Unitals in planes derived from 
Hughes planes. 92f:51008 

Berardi, Luigia (with Bichara, Alessandro) A graph characterization of Corrado Segre 
varieties in PG(5,q). (Italian. English summary) 92e:51011 

Beutelspacher, Albrecht (with Ueberberg, Johannes) On the intersection of Baer subspaces. 
92¢:51014 

Bichara, Alessandro (with Innamorati, Stefano) On Segre variety. 92j:51013 

— see also Berardi, Luigia, 92e:51011 

Blokhuis, Aart (with Mazzocca, Francesco) On maximal sets of nuclei in PG(2,q) and 
quasi-odd sets in AG(2,q). 92m:51018 

— (with Mazzocca, Francesco) Special point sets in PG(n, q) and the structure of sets with 
the maximal number of nuclei. 92f:51009 

— (with Seress, Akos; Wilbrink, H. A.) On sets of points in PG(2,q) without tangents. 
92g:51009 

Bolker, Ethan D. (with Grinberg, Eric L.; Kung, Joseph P. S.) Admissible complexes for the 
combinatorial Radon transform. A progress report. 92h:51013 

Ferri, Osvaldo (with Tallini,G.) A characterization of nonsingular quadrics in PG(4, q). 
(Italian. English summary) 92m:51019 

Grinberg, Eric L. see Bolker, Ethan D.; et al., 92h:51013 

Hirschfeld, J. W.P. (with Storme, L.; Thas, J. A.; Voloch, J. F.) A characterization of 
Hermitian curves. 924:51005 

— Hermitian varieties. 92g:51010 

Innamorati, Stefano see Bichara, Alessandro, 92j:51013 

Johnson, Norman Lloyd! Ovoids and translation planes revisited. 92e:51012 

Kestenband, Barbu C. A family of unitals in the Hughes plane. 92g:51011 

Kordecki, Wojciech (with Luczak, Tomasz) On random subsets of projective spaces. 
92k:51014 

Kung, Joseph P.S. see Bolker, Ethan D.; et al., 92h:51013 

Larato, Bambina see Abatangelo, Vito; et al., 92f:51008 

Luczak, Tomasz see Kordecki, Wojciech, 92k:51014 

Lunardon, Guglielmo A remark on the derivation of flocks. 92m:51020 

Mandak, Alija On biplanes of order 14. 92a:51007 

Mazzocca, Francesco see Blokhuis, Aart, 92f:51009 and 92m:51018 

Pasquali Coluzzi, D. On some configurations of points in a finite affine space AG(n, q). 
(Italian summary) 92i:51017 

Rosati, L. A. see Abatangelo, Vito; et al., 92f:51008 

Ryan, Charles T. Linear sections of the general linear group: a geometric approach. 
92i:51018 

Seress, Akos see Blokhuis, Aart; et al., 92g:51009 

Storme, L. see Hirschfeld, J. W. P.; et al., 924:51005 

Tallini, G. see Ferri, Osvaldo, 92m:51019 

Thas, J. A. see Hirschfeld, J. W. P.; et al., 92d:51005 

Ueberberg, Johannes see Beutelspacher, Albrecht, 92c:51014 

Voloch, J. F. see Hirschfeld, J. W. P.; et al., 924:51005 

Wei, Wan Di (with Yang, Ben Fu) Finite unitary geometries and PBIBDs. II. 92m:51021 

Wilbrink, H. A. see Blokhuis, Aart; et al., 92g:51009 

Yang, Ben Fu see Wei, Wan Di; et al., 92m:51021 


Items with secondary classifications in 51E20 


Bader, L. Flocks of cones and generalized hexagons. 92h:51008 

Bonisoli, Arrigo (with Defina, D.; Saeli, D.) Finite translation planes arising from 
ASL(1, 9)-invariant spreads. (Italian summary) 92¢:51020 

Defina, D. see Bonisoli, Arrigo; et al., 92c:51020 

De Soete, Marijke Geometric threshold schemes. 92j:94010 

Di Paola, Jane W. (with Gropp, Harald) Symmetric configurations without blocking sets. 
92g:51014 

Gropp, Harald see Di Paola, Jane W., 92g:51014 

Ho, Chat Yin Some remarks on orders of projective planes, planar difference sets and 
multipliers. 92f:05027 

Johnson, Norman Lioyd' Flocks and partial flocks of quadric sets. 92a:51004 

— (with Lunardon, Guglielmo; Wilke, Fred W.) Semifield skeletons of conical flocks. 
92¢:51021 

Kiss, Gy. A theorem about affine-regular n-gons. 92m:51001 

Lunardon, Guglielmo see Johnson, Norman Lloyd’; et al., 92c:51021 

McConnell, Mark Classical projective geometry and arithmetic groups. 92k:22020 

Mendelsohn, N.S. (with Padmanabhan, R.; Wolk, Barry) Placement of the Desargues 
configuration on a cubic curve. 92k:51003 

Padmanabhan, R. see Mendelsohn, N. S.; et al., 92k:51003 

Payne, Stanley E. (with Thas, J. A.) Conical flocks, partial flocks, derivation, and 
generalized quadrangles. 92f:51006 


GEOMETRY 


Penttila, Tim Cameron-Liebler line classes in PG(3,q). 92d:51008 

Rajola, S. Maximal spreads of a nonsingular quadric in PG(4, q). (Italian. English 
summary) 92h:51021 

Saeli, D. see Bonisoli, Arrigo; et al., 92c:51020 

Stinson, Douglas R. Designs constructed from maximal arcs. 92m:05028 

Thas, J. A. see Payne, Stanley E., 92f:51006 

Ueberberg, Johannes A characterization of the set of the planes of a Baer subspace of an 
even-dimensional projective space. 92i:51022 

Wettl, Ferenc Internal nuclei of k-sets in finite projective spaces of three dimensions. 
92m:51026 

Wilke, Fred W. see Johnson, Norman Lloyd!; et al., 92c:51021 

Wolk, Barry see Mendelsohn, N. S.; et al., 92k:51003 


51E21 Blocking sets, ovals, k-arcs 


Abatangelo, Vito (with Larato, Bambina) A group-theoretical characterization of parabolic 
Buekenhout-Metz unitals. (Italian summary) 92j:51014 

Batten, Lynn Margaret Blocking sets with flag transitive collineation groups. 92b:51014 

Berardi, Luigia Projective triangles in the four projective planes of order nine. 92e:51013 

— (with Eugeni, Franco) Blocking sets and game theory. 92h:51014 

Bierbrauer, Jiirgen Weighted arcs, the finite Radon transform and a Ramsey problem. 
92g:51012 

Biliotti, Mauro (with Korchmaros, Gabor) Transitive blocking sets in cyclic projective 
planes. 92j:51015 

Blokhuis, Aart Characterization of seminuclear sets in a finite projective plane. 92b:51015 

Brown, Julia M. Nowlin Ovals in infinite Figueroa planes. 92m:51022 

Cherowitzo, William E. Hyperovals in the translation planes of order 16. 92e:51014 

Clark, W. Edwin Blocking sets in finite projective spaces and uneven binary codes. 
92j:51016 

Delandtsheer, Anne Finite flag-transitive semiovals. 92b:51016 

De Resmini, Marialuisa J. On an exceptional semi-translation plane. 92k:51015 

— Failed Baers and blocking sets. 92g:51013 

Di Paola, Jane W. (with Gropp, Harald) Symmetric configurations without blocking sets. 
92g:51014 

Drake, David A. A bound for blocking sets in finite projective planes. 92c:51015 

Eugeni, Franco see Berardi, Luigia, 92h:51014 

Faina, Giorgio Generalized ovoids. (Italian. English summary) 92c:51016 

— Graphs, codes and Buekenhout ovals of even order. 92k:51016 

— Complete arcs in André planes. (Italian summary) 92a:51008 

— Intrinsic characterizations of Hermitian curves. 92d:51006 

Ferri, Osvaldo On k-sets of class [0, 1,q — 1,9,q + 1,2q]2 in AG(3,q) with k > q? — q. 
(Italian. English summary) 92e:51015 

Gropp, Harald Blocking sets in configurations n3. 92h:51015 

— see also Di Paola, Jane W., 92g:51014 

Hahn, Erika Blocking sets in linear spaces. 92h:51016 

Hirschfeld, J. W. P. (with Szényi, Tamas) Constructions of large arcs and blocking sets in 
finite planes. 92m:51023 

Illés, Tibor (with Szényi, Tamas; Wettl, Ferenc) Blocking sets and maximal strong 
representative systems in finite projective planes. 92i:51019 

Kaneta, Hitoshi see Maruta, Tatsuya, 92c:51017 

Korchmaros, Gabor see Biliotti, Mauro, 92j:51015 

Larato, Bambina see Abatangelo, Vito, 92j:51014 

Maruta, Tatsuya (with Kaneta, Hitoshi) On the uniqueness of (q + 1)-arcs of PG(5,q), q = 
2h, h>4. 92¢:51017 

Mazzocca, Francesco Blocking sets with respect to special families of lines and nuclei of 6,- 
sets in finite n-dimensional projective and affine spaces. 92h:51017 

Metsch, Klaus Blocking sets in PG(3, 4)? 92i:51020 

O'Keefe, Christine M. Ovals in Desarguesian planes. 92g:51015 

— (with Penttila, Tim; Praeger, Cheryl E.) Stabilisers of hyperovals in PG(2, 32). 
92m:51024 

— (with Penttila, Tim) Hyperovals in PG(2, 16). 92c:51018 

— (with Penttila, Tim) Polynomials for hyperovals of Desarguesian planes. 92i:51021 

Penttila, Tim see O’Keefe, Christine M., 92c:51018; 92i:51021 and 92m:51024 

Praeger, Cheryl E. see O’Keefe, Christine M.; et al., 92m:51024 

Stangarone, Rosa (with Terrusi, Antonio) On the complete g-arcs of a non-Desarguesian 
plane of even order q. (Italian. English summary) 92c:51019 

Szényi, Tamas Small complete arcs in André planes of square order. 92g:51016 

— see also Més, Tibor; et al., 92i:51019 and Hirschfeld, J. W. P., 92m:51023 

Terrusi, Antonio see Stangarone, Rosa, 92c:51019 

Ueberberg, Johannes A characterization of the set of the planes of a Baer subspace of an 
even-dimensional projective space. 92i:51022 

— Characterizing the line set of a Baer subspace. 92h:51018 

Voloch, J. F. Complete arcs in Galois planes of nonsquare order. 92m:51025 

Wettl, Ferenc Internal nuclei of k-sets in finite projective spaces of three dimensions. 
92m:51026 

— see also Iés, Tibor; et al., 92i:51019 

Wilson, B. J. Minimax arcs. 92j:51017 


Items with secondary classifications in 51E21 


Bichara, Alessandro (with Innamorati, Stefano) On Segre variety. 92j:51013 

Innamorati, Stefano see Bichara, Alessandro, 92j:51013 

Neidhardt, Wolfgang Blocking sets in $(2,4,v). 92i:51009 

Romano, Rosaria Blocking sets in S(4, 5, v) and S(5, 6, v) Steiner systems. 92a:05023 

Tillmann, Jiirgen Ovale in p-adischen Ebenen. (English summary) [Ovals in p-adic planes] 
92h:51028 

Ueberberg, Johannes Blockades and Baer subspaces in finite projective spaces. 92h:51022 


51E22 Linear codes and caps in Galois spaces [see also 94B05] 
Assmus, E. F., Jr. (with Key, Jennifer D.) Baer subplanes, ovals and unitals. 92¢:51016 





1992 


— (with Key, Jennifer D.) Affine and projective planes. 92e:51017a 

— (with Key, Jennifer D.) Translation planes and derivation sets. 92e:51018a 

— (with Key, Jennifer D.) Corrigendum: “Affine and projective planes”. 92e:51017b 

— (with Key, Jennifer D.) Correction: “Translation planes and derivation sets”. 92e:51018b 

Bierbrauer, Jiirgen On projective planes of orders 28 or 32 whose binary code contains 
vectors of small weight. 92h:51019 

Key, Jennifer D. Hermitian varieties as codewords. 92j:51018 

— see also Assmus, E. F., Jr., 92e:51016; 92e:51017a; 92e:51017b; 92e:51018a and 
92e:51018b 

Raguso, G. (with Rella, L.) Note on certain {k, 3}-caps in S3,. (Italian. English summary) 
92d:51007 

Rella, L. see Raguso, G., 92d:51007 


Items with secondary classifications in 51E22 

Clark, W. Edwin Blocking sets in finite projective spaces and uneven binary codes. 
92j:51016 

Dir, Arne The decoding of extended Reed-Solomon codes. 92h:94026 

Faina, Giorgio Graphs, codes and Buekenhout ovals of even order. 92k:51016 

Heise, Werner Topics in algebraic coding theory. 92j:94014 

Moorhouse, G. Eric Bruck nets, codes, and characters of loops. 92i:51012 

Ryan, Charles T. The geometry of linear dependences associated to the Grassmann variety 
G(2, n): an application of algebraic coding theory. 92k:51017 

Wettl, Ferenc Internal nuclei of k-sets in finite projective spaces of three dimensions. 
92m:51026 

Wilson, B. J. Minimax arcs. 92j:51017 


51E23 Spreads and packing problems 


Bonisoli, Arrigo (with Defina, D.; Saeli, D.) Finite translation planes arising from 
ASL(1, 9)-invariant spreads. (Italian summary) 92¢:51020 

Defina, D. see Bonisoli, Arrigo; et al., 92c:51020 

Johnson, Norman Lloyd! Reguli in translation planes defined by flocks of hyperbolic 
quadrics. 92f:51010 

— (with Lunardon, Guglielmo; Wilke, Fred W.) Semifield skeletons of conical flocks. 
92¢:51021 

Knarr, Norbert Sharply transitive subsets of PT'L(2, F) and spreads covered by derivable 
partial spreads. 92e:51019 

Lunardon, Guglielmo see Johnson, Norman Lloyd’; et al., 92c:51021 

Mason, Geoffrey Remarks on nonassociative Galois theory. 92h:51020 

Penttila, Tim Cameron-Liebler line classes in PG(3,q). 92d:51008 

Rajola, S. Maximal spreads of a nonsingular quadric in PG(4, q). (Italian. English 
summary) 92h:51021 

Ryan, Charles T. The geometry of linear dependences associated to the Grassmann variety 
G(2, n): an application of algebraic coding theory. 92k:51017 

Saeli, D. see Bonisoli, Arrigo; et al., 92c:51020 

Spera, Antonino Giorgio (s,k,A)-partitions of a vector space. 92c:51022 

Ueberberg, Johannes Blockades and Baer subspaces in finite projective spaces. 92h:51022 

Wilke, Fred W. see Johnson, Norman Lloyd’; et al., 92c:51021 


Items with secondary classifications in 51E23 

Beutelspacher, Albrecht (with Ueberberg, Johannes) A characteristic property of geometric 
t-spreads in finite projective spaces. 92g:51008 

Dye, R. H. Spreads and classes of maximal subgroups of GL,(q), SL,(q), PGL,(q) and 
PSL, (q). 92k:20092 

Havlicek, Hans Dual spreads generated by collineations. 92i:51005 

Herzer, Armin Nester von Reguli und metrische Geometrie. [Nests of reguli and metric 
geometry] 92k:51005 

Johnson, Norman Lloyd! Ovoids and translation planes revisited. 92e:51012 

Ueberberg, Johannes see Beutelspacher, Albrecht, 92g:51008 


51E24 Buildings and the geometry of diagrams 


Cohen, Arjeh M. Local recognition of graphs, buildings, and related geometries. 92a:51009 

Del Fra, A. (with Ghinelli-Smit, Dina; Meixner, Thomas; Pasini, Antonio) Flag-transitive 
extensions of C, geometries. 92b:51017 

Deza, Michel (with Huang, Ta Yuan; Laurent, Monique) On d-transversal planes. 
924:51009 

Ghinelli-Smit, Dina see Del Fra, A.; et al., 92b:51017 

Hanssens, G. Polarized spaces of polar rank three which are locally a direct product. 
92e:51020 

Hillebrandt, Gert Describing of thin geometries using Hecke groups. 92m:51027 

Huang, Ta Yuan see Deza, Michel; et al., 92d:51009 

Laurent, Monique see Deza, Michel; et al., 92d:51009 

Meixner, Thomas Some polar towers. 92i:51023 

— see also Del Fra, A.; et al., 92b:51017 

Pasechnik, D. V. Dual linear extensions of generalised quadrangles. 92m:51028 

Pasini, Antonio On the classification of finite C,,-geometries with thick lines. 92k:51018 

— A bound for the collinearity graph of certain locally polar geometries. 92i:51024 

— see also Del Fra, A.; et al., 92b:51017 

Pica, Giustina Ott-Liebler numbers. 92i:51025 bs 

Van Maldeghem, Hendrik J. An algebraic characterization of affine buildings of type C. 
92g:51017 

Van Nypelseer, Laurence Rank nm geometries with affine hyperplanes and dual affine point 
residues. 92m:51029 

Weiss, Richard Mark A characterization of the group Co; as a transitive extension of HS. 
92¢:51023 

Yoshiara, Satoshi A classification of flag-transitive classical c.C)-geometries by means of 
generators and relations. 92¢:51024 


51E Finite geometry and special incidence structures 


51E30 


Items with secondary classifications in 51E24 

Cooperstein, B. N. (with Shult, E. E.) Geometric hyperplanes of embeddable Lie incidence 
geometries. 92m:51003 

Del Fra, A. (with Ghinelli-Smit, Dina; Pasini, Antonio) One diagram for many geometries. 
92m:51012 

— (with Ghinelli-Smit, Dina) Diameter bounds for locally partial geometries. 92h:51010 

Fisher, P. H. (with Penttila, Tim) One-point extensions of polar spaces. 92g:51005 

— Extended 4 x 4 grids. 92i:05062 

— (with Hobart, S. A.) Triangular extended generalized quadrangles. 92c:51009 

Ghinelli-Smit, Dina see Del Fra, A., 92h:51010 and 92m:51012 

Grundhéfer, Theo (with Van Maldeghem, Hendrik J.) Topological polygons and affine 
buildings of rank three. (Italian summary) 92¢:51028 

Hobart, S. A. see Fisher, P. H., 92c:51009 

Kiss, Gy. A generalization of Ostrom’s theorem in generalized n-gons. 92j:51008 

Pasini, Antonio see Del Fra, A.; et al., 92m:51012 

Penttila, Tim see Fisher, P. H., 92g:51005 

Seifert, Benedict G. Non-type-preserving automorphism groups of buildings and normaliz- 
ing Tits systems. 92c:20053 

Shult, E. E. see Cooperstein, B. N., 92m:51003 

Smith, Stephen D. Weights and covers of chamber systems. 92¢:20054 

Van Maldeghem, Hendrik J. see Grundhéfer, Theo, 92c:51028 


51E25 Other finite nonlinear geometries 


Fiori, Carla (with Rinaldi, Gloria) Weakly regular and regular sets in Minkowski planes. 
92b:51018 

Garner, C. W. L. Circles, horocycles and hypercycles in a finite hyperbolic plane. 92c:51025 

Quattrocchi, Pasquale (with Rinaldi, Gloria) Automorphisms of (B)-geometries. 
92h:51023 

Rinaldi, Gloria see Fiori, Carla, 92b:51018 and Quattrocchi, Pasquale, 92h:51023 

Steinke, Ginter F. On the structure of finite elation Laguerre planes. 92i:51026 

Thas, J. A. Solution of a classical problem on finite inversive planes. 92f:51011 


Items with secondary classifications in 51E25 
Ceccherini, Pier Vittorio A characterization of Arguesian graphs. 92j:05145 


51E26 Other finite linear geometries 


Batten, Lynn Margaret A dual approach to embedding the complement of two lines in a 
finite projective plane. 92k:51019 

Delandtsheer, Anne Dimensional linear spaces whose automorphism group is (line, 
hyperplane)-flag transitive. 92k:51020 

Frankl, Peter (with Fiiredi, Zoltan) A sharpening of Fisher’s inequality. 92h:51024 

Firedi, Zoltan see Frankl, Peter, 92h:51024 

Lo Re, Pia Maria see de Vito, Paola, 92e:51021; 92h:51025 and 92j:51019 

Metsch, Klaus see de Vito, Paola; et al., 92h:51025 

de Vito, Paola (with Lo Re, Pia Maria) Linear spaces on v points with v — 3 mutually 
intersecting long lines. (Italian. English summary) 92j:51019 

— (with Lo Re, Pia Maria; Metsch, Klaus) Linear spaces in which every long line intersects 
v +2 other lines. 92h:51025 

— (with Lo Re, Pia Maria) Linear spaces with n? + n + 1 points and n? + 3n lines. (Italian. 
English summary) 92e:51021 


Items with secondary classifications in 51E26 

Bar-Noy, Amotz (with Motwani, Rajeev; Naor, Joseph) A linear time approach to the set 
maxima problem. 92k:68016 

Buekenhout, Francis The Higman-McLaughlin theorem for flag-transitive linear spaces. 
92a:20006 

Francot, Eliana Some new examples of derived semifield planes with affine elations. 
92m:51015 

Liu, Yingsheng (with Wan, Zhe Xian) Pseudo-symplectic geometries over finite fields of 
characteristic two. 92k:51007 

Motwani, Rajeev see Bar-Noy, Amotz; et al., 92k:68016 

Naor, Joseph see Bar-Noy, Amotz; et al., 92k:68016 

Shaw, Ronald Clifford algebras, spinors and finite geometries. 92j:15017 

Wan, Zhe Xian see Liu, Yingsheng, 92k:51007 


51E30 Other finite incidence structures [see also 05B30] 


Artzy, R. Collineations of Benz planes over finite prime fields. 92¢:51026 

Gali¢, Radoslav U-k seminets of maximal degree. (Serbo-Croatian summary) 92h:51026 

He, Yu Zhang A note on finite geometric models constructed with addition sets. (Chinese. 
English summary) 92a:51010 

Horvati¢-Baldasar, Ksenija An elation semi-biplane with 34 points on a line. (Serbo- 
Croatian summary) 92¢e:51022 


Items with secondary classifications in 51E30 

Assmus, E. F., Jr. (with Prince, Alan R.) Biplanes and near biplanes. 92k:51008 

Burian, Kvétoslav Nearaffine 3-nets. (Czech summary) 92b:51012 

— Nearaffine 3-nets. II. (Czech summary) 92i:51011 

Casse, L.R. A. see Oxenham, M. G., 92k:20006 

Chen, Dong Sheng (with Wan, Zhe Xian) The characteristic polynomial of a geometric 
lattice in symplectic geometry over finite fields. 92m:11142 

Faina, Giorgio Generalized ovoids. (Italian. English summary) 92c:51016 

Henrich, Christopher J. Magic squares and linear algebra. 92d:05037 

Oxenham, M. G. (with Casse, L. R. A.) On a geometric representation of the subgroups of 
index 6 in Sg. 92k:20006 

Prince, Alan R. see Assmus, E. F., Jr., 92k:51008 

Wan, Zhe Xian see Chen, Dong Sheng; et al., 92m:11142 





51Fxx 


51Fxx Metric geometry 


51F15 Reflection groups, reflection geometries [see also 20H10, 
20H15; for Coxeter groups, see 20F55] 


Dress, Andreas W. M. Repetition und Metamorphose—zum Symmetriebegriff in der Math- 
ematik. [Repetition and metamorphosis—on the concept of symmetry in mathematics] 
924:51010 

Foster, Lorraine L. Convex polyhedral models for the finite three-dimensional isometry 
groups. 92j:51020 

ki, Krzysztof On some inversion-like transformations of degenerate hyperbolic 
plane. 92a:51011 

Sherk, F. A. The projective antecedent of the three reflection theorem. 92f:51012 

Tits, Jacques Symmetrie. [Symmetry] 92g:51018 

Vedernikov, S. V. Invariant parts of a region of symmetry. (Russian) 92e:51023 


Items with secondary classifications in 51F15 

Balke, Ludwig * Diskontinuierliche Gruppen als Automorphismengruppen von Pflasterun- 
gen. (German) [Discontinuous groups as automorphism groups of tilings] 92h:52022 

Cohen, Arjeh M. Presentations for certain finite quaternionic reflection groups. 92k:20094 

Jablan, Slavik V. Enantiomorphism of noncrystallographic simple and multiple antisymme- 
try groups of rods. (Serbo-Croatian summary) 92m:20042 

— Color-symmetry groups of friezes. (Serbo-Croatian summary) 92m:20043 

McMallen, Peter Regular polyhedra related to projective linear groups. 92:52023 

— The order of a finite Coxeter group. 92f:20039 

Senechal, Marjorie * Crystalline symmetries. 92¢:20092 

Tsaranov, S. V. On a generalization of Coxeter groups. 92c:20062 


51F20 Congruence and orthogonality [see also 20H05] 


Alpers, Burkhard (with Schréder, Eberhard M.) On mappings preserving orthogonality of 
nonsingular vectors. 92f:51013 

Gentili, Graziano (with O’Connor, Michael A.) Rational geometry in space. 92k:51021 

Mok, Kam Ping see Wong, Yung Chow, 924:51011 

O’Connor, Michael A. see Gentili, Graziano, 92k:51021 

Pickert, Ginter Winkelmessung und Orientierung. (English summary) [Measuring of angles 
and orientation] 92a:51012 

Schroder, Eberhard M. see Alpers, Burkhard, 92f:51013 

Wong, Yung Chow (with Mok, Kam Ping) Normally related n-planes and isoclinic n-planes 
in R" and strongly linearly independent matrices of order n. 92d:51011 


Items with secondary classifications in 51F20 

Alsina, Claudi (with Garcia Roig, J.-L.) On the functional equation |7(x) - T(y)| = |x - y]. 
92j:39016 

Garcia Roig, J.-L. see Alsina, Claudi, 92j:39016 


51F25 Orthogonal and unitary groups [see also 20H05] 


Items with secondary classifications in 51F25 

Alpers, Burkhard (with Schréder, Eberhard M.) On mappings preserving orthogonality of 
nonsingular vectors. 92f:51013 

Gentili, Graziano (with O’Connor, Michael A.) Rational geometry in space. 92k:51021 

Kniippel, F. 5-reflectionality of anisotropic orthogonal groups over valuation rings. 
92}:20051 

O’Connor, Michael A. see Gentili, Graziano, 92k:51021 

Schroder, Eberhard M. see Alpers, Burkhard, 92f:51013 


51F99 None of the above, but in this section 


Alsina, Claudi (with Garcia Roig, J.-L.) How many homothetic friezes are there? 
92a:51013 

Garcia Roig, J.-L. see Alsina, Claudi, 92a:51013 

Lenz, Hanfried Bemerkungen zum Beckman-Quarles-Problem. [Remarks on the Beckman- 
Quarles problem] 92j:51021 

Rassias, Themistocles M. On the stability of mappings. (Italian summary) 92f:51014 

Stanik, R. Zahlentheoretische Modelle fiir Rechtseitebenen. (English summary) [Number- 
theoretic models for rectangular planes] 92c:51027 


Items with secondary classifications in 51F99 

Ashley, Jonathan (with Griinbaum, Branko; Shephard, G. C.; Stromquist, Walter) Self- 
duality groups and ranks of self-dualities. 92f:51017 

Griinbaum, Branko see Ashley, Jonathan; et al., 92f:51017 

Herburt, Irmina On intrinsic isometries and rigid subsets of Euclidean spaces. 92e:54028 

Shephard, G. C. see Ashley, Jonathan; et al., 92f:51017 

Stromquist, Walter see Ashley, Jonathan; et al., 92f:51017 


51G05 Ordered geometries (ordered incidence structures, 
etc.) 


Bichara, Alessandro (with Misfeld, J.; Tallini, G.; Zanella, Corrado) On the order structure 
in the line geometry of a projective space. 92h:51027 

Kalhoff, Franz The holomorphy rings of planar ternary rings with rational prime field. 
92b:51019 

Misfeld, J. see Bichara, Alessandro; et al., 92h:51027 

Pambuccian, Victor Correction to: “Unit distance as single binary predicate for plane 
Euclidean geometry” [Zeszyty Nauk. Geom. 18 (1990), 5-8; MR 91j:51025]. 

Sun, Yong Da see Yin, Qi Zheng; et al., 92m:51030 

Tallini, G. see Bichara, Alessandro; et al., 92h:51027 


GEOMETRY 


1992 860 


Tecklenburg, Helga Quasi-ordered Desarguesian affine spaces. 92f:51015 

— Semi-ordered ternary rings. 92b:51020 

Yin, Qi Zheng (with Sun, Yong Da) Isomorphisms of affine geometries over ordered fields. 
(Chinese. English summary) 92m:51030 

Zanella, Corrado see Bichara, Alessandro; et al., 92h:51027 


Items with secondary classifications in 51G05 

Eisele, Eberhard Cartesian groups not belonging to topological projective planes. 92j:51022 

Kalhoff, Franz Formal power series over Cartesian groups and their spaces of orderings. 
92e:12001 

— On the existence of special quasifields. 92m:12016 

Pickert, Ginter Winkelmessung und Orientierung. (English summary) [Measuring of angles 
and orientation] 92a:51012 

Szekeres, Peter Signal spaces—an axiomatic approach to space-time. 92¢:83036 


51Hxx Topological geometry 


51H10 Topological linear incidence structures 


Betten, Dieter 4-dimensional compact projective planes with a 7-dimensional collineation 
group. 92b:51021 

— Orbits in 4-dimensional compact projective planes. 92k:51022 

— 4-dimensional compact projective planes with a nilpotent collineation group. 92m:51031 

Eisele, Eberhard Topological ternary fields not belonging to a topological projective plane. 
92e:51024 

— Topologische affine Ebenen mit nichtstetigem Parallelismus. (English summary) 
[Topological affine planes having noncontinuous parallelism] 92m:51032 

— Cartesian groups not belonging to topological projective planes. 92j:51022 

Grundhofer, Theo (with Van Maldeghem, Hendrik J.) Topological polygons and affine 
buildings of rank three. (Italian summary) 92c:51028 

Hahl, Hermann Sechzehnd ionale lokalkompakte Translationsebenen, deren 
Kollineationsgruppe G2 enthalt. (English summary) [16-dimensional locally compact 
translation planes whose collineation group contains G2] 92e:51025 

Léwen, Rainer Four-dimensional compact projective planes with a nonsolvable automor- 
phism group. 92b:51022 

Seidel, Hans-Peter Connected 4-dimensional stable planes with many central collineations. 
92e:51026 

Stroppel, Markus A characterization of quaternion planes. 92a:51014 

Tillmann, Jiirgen Ovale in p-adischen Ebenen. (English summary) [Ovals in p-adic planes] 
92h:51028 | 

Van Maldeghem, Hendrik J. see Grundhéfer, Theo, 92c:51028 

Zanella, Corrado Defining topological projective spaces and topological Grassmann spaces. 
92a:51015 





Items with secondary classifications in 51H10 

Plaumann, Peter (with Strambach, Karl) Partitionen Liescher und algebraischer Gruppen. 
(English summary) [Partitions of Lie and algebraic groups] 92h:22012 

Strambach, Karl see Plaumann, Peter, 92h:22012 


51H15 Topological nonlinear incidence structures 


Schroth, Andreas E. The Apollonius problem in flat Laguerre planes. 92m:51034 

— Characterizing symplectic quadrangles by their derivations. 92m:51033 

Steinke, Ginter F. 2-dimensional Minkowski planes and Desarguesian derived affine planes. 
92d:51012 

— On the structure of the automorphism group of 2-dimensional Laguerre planes. 
92a:51016 

— The elation group of a 4-dimensional Laguerre plane. 92m:51035 

Zanella, Corrado A characterization of the Grassmann space representing the h-flats in a 
topological projective space. (Italian summary) 92a:51017 


51H20 Topological geometries on manifolds [see also 57-XX] 


Knarr, Norbert The nonexistence of certain topological polygons. 92a:51018 
Mazurovskii, V. F. Nonsingular configurations of k-dimensional subspaces of a (2k + 1)- 
dimensional real projective space. (Russian. English summary) 92j:51023 


Items with secondary classifications in 51H20 


Balke, Ludwig * Diskontinuierliche Gruppen als Automorphismengruppen von Pflasterun- 
gen. (German) [Discontinuous groups as automorphism groups of tilings] 92h:52022 
Seidel, Hans-Peter Connected 4-dimensional stable planes with many central collineations. 

92e:51026 


51H25 Geometries with differentiable structure [see also 53Cxx, 
53C70] 
Burtseva, T. A. see Rosenfeld, Boris A., (92f:53003) 
Rosenfeld, Boris A. (with Burtseva, T. A.) Non-Euclidean planes over nonassociative 
algebra and geometric interpretations of exceptional simple Lie groups. (see 92f:53003) 


Seidel, Hans-Peter Classification of 4-dimensional generalized symmetric planes. 
92b:51023 


51Jxx Incidence groups 


51J05 General theory 


Marchi, Mario Configurations in incidence loops. 92m:51036 





861 1992 


51J10 Projective incidence groups 


Items with secondary classifications in 51J10 


Suetake, Chihiro Flag transitive planes of order q” with a long cycle /,.. as a collineation. 
92i:51016 


51J15 Kinematic spaces 


Items with secondary classifications in 51J15 
Marchi, Mario Configurations in incidence loops. 92m:51036 


51J20 Representation by near-fields and near-algebras 
[see also 12K05, 16Y30] 


Hanson, Jill (with Kallaher, Michael J.) Finite Bol quasifields are nearfields. 92b:51024 

Kallaher, Michael J. see Hanson, Jill, 92b:51024 

Kiechle, Hubert Bemerkungen zu einer Klasse kommutativer Inzidenzgruppen. (English 
summary) [Remarks on a class of commutative incidence groups] 92a:51019 


Items with secondary classifications in 51J20 

Grundhifer, Theo Projektivitatengruppen von Ebenen iiber endlichen Semikérpern. 
(English summary) [Groups of projectivities of planes over finite semifields] 92i:51014 

Hiramine, Yutaka (with Johnson, Norman Lloyd') Generalized André planes of order p‘ 
that admit a homology group of order (p‘ — 1)/2. 92m:51016 

Johnson, Norman Lioyd' Homology groups, nearfields and reguli. 92k:51013 

— see also Hiramine, Yutaka, 92m:51016 


51Kxx Distance geometry 


51K05 General theory 


Kulshrestha, Devendra K. (with Sag, Tom W.; Yang, Lu) Average distance constants for 
polygons in spaces with nonpositive curvature. 92b:51025 

Marcu, Danut Note on the Euclidean embeddings. 92b:51026 

Melter, Robert A. A survey of digital metrics. 92k:51023 

Sag, Tom W. see Kulshrestha, Devendra K.; et al., 92b:51025 

Yang, Lu see Kulshrestha, Devendra K.; et al., 92b:51025 


Items with secondary classifications in 51K05 

(Corneil, D.G.) see Seidel, J. J., 92m:01098 

Galvin, Fred (with Shore, S.D.) Distance functions and topologies. 92h:54035 

Herburt, Irmina On intrinsic isometries and rigid subsets of Euclidean spaces. 92e:54028 

(Mathon, Rudolf A.) see Seidel, J. J., 92m:01098 

Rudnik, Krzysztof Concerning the rigidity problem for subsets of E?. (Russian summary) 
92¢:54035 

Seidel, J. J. *& Geometry and combinatorics. 92m:01098 

Shore, S. D. see Galvin, Fred, 92h:54035 


Items listed otherwise than by author 
Bil d 

Seidel, Johan Jacob see Seidel, J. J., 92m:01098 
Biography: 

Seidel, Johan Jacob see Seidel, J. J., 92m:01098 


51K99 None of the above, but in this section 


Dress, Andreas W. M. (with Havel, Timothy F.) Bound smoothing under chirality 
constraints. 92j:51024 
Havel, Timothy F. see Dress, Andreas W. M., 92j:51024 


Items with secondary classifications in 51K99 


Ger, Joanna A closed epigraph theorem. 92m:54052 

Jones, Mark Christopher Wynne A nonuniqueness theorem in the theory of Voronoi sets. 
92h:52016 

Lenz, Hanfried Bemerkungen zum Beckman-Quarles-Problem. [Remarks on the Beckman- 
Quarles problem] 92j:51021 

Maehara, Hiroshi Distances in a rigid unit-distance graph in the plane. 92m:05075 

Solovej, Jan Philip Some simple counterexamples to the Onsager lemma on metric spaces. 
92m:82015 


51Lxx Geometric order structures [see also 53C75] 


51L05 Geometry of orders of nondifferentiable curves 


Items with secondary classifications in 51L05 
Nobeling, Georg Beispiele zur gsg 
order-geometric vertex theory] 92h:53085 





ischen Scheiteltheorie. [Examples on the 


51Mxx Real and complex geometry 


51M04 Elementary problems in Euclidean geometries 


Cho, Eung Chun The generalized cross product and the volume of a simplex. 92k:51024a 
— Pythagorean theorems on rectangular tetrahedron. 92k:51024b 


51M _ Real and complex geometry 


51M09 


Demir, H. (with Tezer, C.) Reflections on a problem of V. Thébault. 92h:51029 

Eriksson, Folke The Fermat-Torricelli problem—a classical beauty in modern dress. 
(Swedish. English summary) 92h:51030 

Fillmore, Jay P. (with Paluszny, M.) The geometry of ‘¥*+ and its application to some 
classical problems. (Spanish. English summary) 92h:51031 

Gallarati, Dionisio A Steiner theorem. (Italian) 92h:51032 

Hayashi, Takao Narayana’s rule for a segment of a circle. 92a:51020 

Kim, Jin Bai n-dimensional sine and cosine functions. 92j:51025 

Klamkin, Murray S. (with Liu, Andy C. F.) Simultaneous generalizations of the theorems 
of Ceva and Menelaus. 92m:51037 

Liu, Andy C. F. see Klamkin, Murray S., 92m:51037 

Miao, Yi Shun Probabilistic proof of the Neuberg-Pedoe inequality. (Chinese) 92e:51027 

Paluszny, M. see Fillmore, Jay P., 92h:51031 

Post, Karel A. A curious property of points and circles in the plane. 92m:51038 

Pu, Jia Bao A distance inequality for a finite point set. (Chinese. English summary) 

Rigby, J. F. Cycles and tangent rays. 924:51013 

Slieptevié, Ana Das Brennpunktgebilde im Biischel zirkulaérer Kurven dritter Ordnung. 
(English and Serbo-Croatian summaries) [The configuration of foci in a pencil of circular 
cubics] 92j:51026 

Stark, Roland Ein Satz iiber Eckentfernungen beim Dreieck. [A theorem on corner distances 
in the triangle] 92b:51027 

Tezer, C. see Demir, H., 92h:51029 

Toepell, Michael The lost center of a circle. 92k:51025 

Tuza, Zsolt Dissections into equilateral triangles. 92k:51026 

Wetzel, John E. Converses of Napoleon’s theorem. 92k:51027 

Yff, Peter On the £-lines and f-circles of a triangle. (see 92b:01015) 

Yu, Zhi Hong Using the method of polar coordinates to prove Longuerre’s theorem. 
(Chinese. English summary) 


Items with secondary classifications in 51M04 

Carroll, Joseph E. (with Yanosko, Ken) The determination of a class of primitive integral 
triangles. 92a:11039 

Dekster, Boris V. Assembling r-gons out of n given segments. 92m:51040 

Feiste, Uwe see Flachsmeyer, Jiirgen; et al., 92m:52045 

Flachsmeyer, Jiirgen (with Feiste, Uwe; Manteuffel, Karl) * Mathematik und ornamentale 
Kunstformen. (German) [Mathematics and ornamental art forms] 92m:52045 

Giering, Oswald Maximale (m, n)-Punktkonfigurationen. [Maximal (m, n)-point configura- 
tions] 92f:52033 

Koecher, Max Castel del Monte und das Oktagon. [Castel del Monte and the octagon] 
92j:51029 

Kyuchukov, Aleksandr N. An automedianic triangle. (Bulgarian. English summary) 
92c:11010 

Madden, James J. Vector-lattices and a problem in geometry. 92k:06019 

Manteuffel, Karl see Flachsmeyer, Jiirgen; et al., 92m:52045 

Michelacci, G. Inscribed polygons and fixed points of homeomorphisms on the circle. 
92h:52005 

Rigby, J. F. Napoleon, Escher, and tessellations. 92j:52036a 

— Napoléon, Escher et les tessellations. [Napoleon, Escher and tessellations}] 92j:52036b 

Wille, Rudolf Symmetrie—Versuch einer Begriffsbestimmung. [Symmetry—attempt at a 
definition] 92b:51001 

Yanosko, Ken see Carroll, Joseph E., 92a:11039 


51M05 Euclidean geometries (general) and generalizations 


Bhatia, Rajendra Letter to the editor: “The n-dimensional Pythagorean theorem” [Linear 
and Multilinear Algebra 26 (1990), no. 1-2, 9-13; MR 90k:51031] by S.-Y. T. Lin and Y. 
F. Lin. 

Dubikajtis, Lech Some extension of Euclidean geometry. (Russian summary) 92b:51028 

Erdogan, Hakki ismail Die Sechseck-n-Waben in der Ebene, welche von n Kreisbiischeln 
erzeugt werden. (English summary) [The hexagonal n-webs in the plane which are 
generated by n pencils of circles] 92a:51021 

Fryda, Jan Some natural axiom system of the plane Euclidean geometry. 92k:51028 

Kosiorek, Jarostaw An axiom system for full 3-dimensional Euclidean geometry. (Czech 
summary) 924:51014 

Kovalev, M. D. On curvatures of tangent spheres. (Russian) 92d:51015 

Kutzler, Bernhard Deciding a class of Euclidean geometry theorems with Buchberger’s 
algorithm. 92¢:51029 

(Lin, Shwu-Yeng T.) see Bhatia, Rajendra 

(Lin, You Feng) see Bhatia, Rajendra 

Masuda, Kazuo see Otsuki, Tominosuke, 92a:51022 

Otsuki, Tominosuke (with Masuda, Kazuo) Certain theorems on pentagons. 92a:51022 

Stachel, Hellmuth Zu K. Schiittes Verallgemeinerung des Satzes von Napoleon. [On K. 
Schiitte’s generalization of the theorem of Napoleon] 92c:51030 


Items with secondary classifications in 51M05 

Muzalewski, Michal An algebraic approach to the foundations of Euclidean elementary 
constructions and Euclidean geometry. (Russian summary) 92¢:51032 

Otsuki, Tominosuke A new proof of Otsuki’s theorem on pentagons in P?(R). 92i:51029 


51M09 Elementary problems in hyperbolic and elliptic 
geometries 

Dekster, Boris V. (with Wilker, John B.) Simplexes in spaces of constant curvature. 
92b:51029 

Rizavi, Asadullah The solution to the triangle in hyperbolic geometry. (Persian) (see 
92m:00055) 

Sherman, Glen Aldridge Paradoxical subsets of hyperbolic and spherical discs. 92f:51016 

Vinberg, E. B. The volume of polyhedra on a sphere and in Lobachevsky space. 92j:51027 

Wilker, John B. see Dekster, Boris V., 92b:51029 





51M09 


Items with secondary classifications in 51M09 


Berggren, J. Lennart Spherical trigonometry in Kashyar ibn Labban’s Jami‘ Zij. (see 
92b:01015) 


51M10 Hyperbolic and elliptic geometries (general) and 
generalizations 


Bear, H.S. Part metric and hyperbolic metric. 92k:51029 

Gutsul, I. S. Completion of incomplete hyperbolic structures. (Russian) 92a:51023 

Makarov, P. V. Kelvin partitioning of a three-dimensional Lobachevskii space by regular 
polyhedra. (Russian) 92b:51030 

Wang, Xian Tao The maximum property of several kinds of subgroups in four-dimensional 
Mobius transformations. (Chinese. English summary) 92d:51016 

Zeitler, Herbert Poincaré, Bilinski, Wunderlich—Erganzungen zur nichteuklidischen 
Geometrie. [Poincaré, Bilinski, Wunderlich—supplements to non-Euclidean geometry] 
92e:51028 


Items with secondary classifications in 51M10 

Arteaga, Kh. R. Classification of second-order surfaces in a three-dimensional Lobachevskii 
space according to Norden’s method. (Russian) 92a:53017 

Balkan, V. V. Nonnormal regular partitionings of a Lobachevskii space. (Russian) 
92¢:52017 

Kosiorek, Jarostaw An axiom system for full 3-dimensional Euclidean geometry. (Czech 
summary) 92d:51014 ‘ 

Makarov, P. V. Archimedean partitionings of a three-dimensional Lobachevskii space. 
(Russian) 92¢:52018 

Radziszewski, Krzysztof On some inversion-like transformations of degenerate hyperbolic 
plane. 92a:51011 

Teufel, Eberhard A generalization of the isoperimetric inequality in the hyperbolic plane. 
92j:52015 

Ungar, Abraham A. The expanding Minkowski space. 924:83005 

Wada, Masaaki Conjugacy invariants of Mobius transformations. 92a:30048 


51M15 Geometric constructions 


Brill, Michael H. (with Stueben, Michael) The trisection proof. (French summary) 
92d:51017 

DeTemple, Duane W. Carlyle circles and the Lemoine simplicity of polygon constructions. 
924:51018 

Hernandez Suarez, Victor see Morales Gonzalez, Agustin; et al., (92m:00053) 

Hou, Xiao Rong see Zhang, Jing Zhong; et al., 92b:51031 

Jones, Arthur (with Morris, Sidney A.; Pearson, Kenneth R.) * Abstract algebra and 
famous impossibilities. 92i:51027 

Lamb, John F., Jr. Archimedes versus Gauss: the construction of a regular heptagon. (see 
92i:00029) 

Maehara, Hiroshi Another “match-stick” geometry. 92k:51030 

Martel Moreno, José see Morales Gonzalez, Agustin; et al., (92m:00053) 

Martini, Frank Diagonalenschnittpunkte fiir parallele aquidistante Punktreihen. [Intersec- 
tions of diagonals for parallel equidistant point series] 92i:51028 

Morales Gonzalez, Agustin (with Moreno Martel, Ma. Dolores; Martel Moreno, José; 
Hernandez Suarez, Victor) An aesthetic component of mathematics: the golden number. 
(Spanish. English summary) (see 92m:00053) 

Moreno Martel, Ma. Dolores see Morales Gonzalez, Agustin; et al., (92m:00053) 

Morris, Sidney A. see Jones, Arthur; et al., 92i:51027 

Pearson, Kenneth R. see Jones, Arthur; et al., 92i:51027 

Stueben, Michael see Brill, Michael H., 92d:51017 

Yang, Lu see Zhang, Jing Zhong; et al., 92b:51031 

Yardley, Peter D. An extension of Omar Khayyam’s graphical solution of the cubic equation 
to the solution of the quartic. 92m:51039 

Zhang, Jing Zhong (with Yang, Lu; Hou, Xiao Rong) What can we do with only a pair of 
rusty compasses? 92b:51031 


Items with secondary classifications in 51M15 

Erdogan, Hakki ismail Die Sechseck-n-Waben in der Ebene, welche von n Kreisbiischeln 
erzeugt werden. (English summary) [The hexagonal n-webs in the plane which are 
generated by n pencils of circles] 92a:51021 

Malakhov, A. I. * Viccnegqopanne reomeTpHuecKo CTPpyKTypbI MHOTOMepHEIX uryp. 
(Russian) [Investigation of the geometric structure of multidimensional figures] 
92g:51001 

Tuza, Zsolt Dissections into equilateral triangles. 92k:51026 


51M16 Inequalities and extremum problems {For convex 
problems see 52A40.} 


Benedetti, Riccardo (with Dedd, Maria) A false inequality which is true for a “concrete 
observer”. (Italian summary) 92h:51033 

Dedo, Maria see Benedetti, Riccardo, 92h:51033 

Dekster, Boris V. Assembling r-gons out of n given segments. 92m:51040 

Price, G. Baley On the Pythagorean theorem and the triangle inequality. 92h:51034 


Items with secondary classifications in 51M16 


Madevski, Z. On inequality (GI; 5.47). (Macedonian summary) 92m:26013 
de Verdiere, Yves Colin Un principe variationnel pour les empilements de cercles. [A 
variational principle for circle packings] 92h:57020 


51M20 Polyhedra and polytopes; regular figures, division of 
spaces [see also 51F 15] 
Ashley, Jonathan (with Griinbaum, Branko; Shephard, G. C.; Stromquist, Walter) Self- 


GEOMETRY 


duality groups and ranks of self-dualities. 92f:51017 

Coxeter, H.S.M. * Regular complex polytopes. 92h:51035 

— Affine regularity. 92j:51028 

Grinbaum, Branko see Ashley, Jonathan; et al., 92f:51017 

Harborth, Heiko Concentric cycles in mosaic graphs. 92g:51019 

Kaiser, Heiner Perfekte Dreieckzerlegungen. [Perfect decompositions of triangles] 
924:51019 

Koecher, Max Castel del Monte und das Oktagon. [Castel del Monte and the octagon] 
92j:51029 

Raffke, Werner Dreieckszerlegungen. [Partitions of triangles] 92m:51041 

Schulte, Egon (with Weiss, Asia Ivi¢) Chiral polytopes. 92f:51018 

Shephard, G.C. see Ashley, Jonathan; et al., 92f:51017 

Stromquist, Walter see Ashley, Jonathan; et al., 92f:51017 

Weiss, Asia Ivié see Schulte, Egon, 92£:51018 

Zamorzaeva, E. A. Dirichlet partitions for conic groups of similarity symmetry. (Russian) 
92¢:51031 


Items with secondary classifications in 51M20 

Bauer, Friedrich L. Sternpolygone und Hyperwiirfel. [Starpolygons and hypercubes] 
92i:51001 

Bohm, Johannes (with Quaisser, Erhard) * Schénheit und Harmonie geometrischer 
Formen. (German) [Beauty and harmony of geometric forms] 92k:52003 

Bongartz, Klaus (with Mertens, Detlef) On the enumeration of homeochromatic classes of 
k-chromatic tilings. 92a:52026 

Debrunner, Hans E. Dissecting orthoschemes into orthoschemes. 92b:52028 

DeTemple, Duane W. Carlyle circles and the Lemoine simplicity of polygon constructions. 
924:51018 

Dress, Andreas W. M. Repetition und Metamorphose—zum Symmetriebegriff in der Math- 
ematik. [Repetition and metamorphosis—on the concept of symmetry in mathematics] 
92d:51010 

(Fischer, Gerd) see Bohm, Johannes, 92k:52003 

Foster, Lorraine L. Convex polyhedral models for the finite three-dimensional isometry 
groups. 92j:51020 

Kaiser, Heiner Zerlegungen euklidischer und nichteuklidischer Polygone in spitzwinklige 
Dreiecke. (English and Serbo-Croatian summaries) [Dissections of Euclidean and non- 
Euclidean polygons into acute triangles] 92e:52028 

Kappraff, Jay * Connections. 92a:00030 

Martinov, Nikola I. On Conjecture 2.4 of Griinbaum. (Bulgarian. English summary) 
924:52030 

McMullen, Peter Nondiscrete regular honeycombs. 92c¢:52033 

— (with Schulte, Egon) Finite quotients of infinite universal polytopes. 92j:52017 

Mertens, Detlef see Bongartz, Klaus, 92a:52026 

Penrose, Roger La cohomologie des figures impossibles. [On the cohomology of impossible 
figures] 92m:52018 

Quaisser, Erhard Themen und Formen bei Ostwaldschen Grundmustern. [Subjects and 
forms in Ostwald’s basic patterns] 92m:52047 

— see also Béhm, Johannes, 92k:52003 

Schulte, Egon see McMullen, Peter, 92j:52017 

Stephanides, Adam On regular incidence quasi-polytopes. 92e:52018 


51M25 Length, area and volume [see also 26B15] 


Beyer, W. A. (with Fawcett, L. R.; Harten, L. P.; Swartz, B. K.) The volume common to two 
congruent circular cylinders. 92k:51031 

Bollobas, Béla (with Leader, Imre) Edge-isoperimetric inequalities in the grid. 92m:51042 

Butler, James P. The perimeter of a rose. 92d:51020 

Cieslak, Waldemar (with Maksym, Maria; DeTemple, Duane W.) On polygons circum- 
scribing a closed convex curve. 92a:51024 

DeTemple, Duane W. see Cieslak, Waldemar; et al., 92a:51024 

Fawcett, L. R. see Beyer, W. A.; et al., 92k:51031 

Harten, L. P. see Beyer, W. A.; et al., 92k:51031 

Leader, Imre see Bollobas, Béla, 92m:51042 

Maksym, Maria see Cieslak, Waldemar; et al., 92a:51024 

Rigby, J. F. The edge-lengths of a tetrahedron. (Serbo-Croatian summary) 92g:51020 

Swartz, B. K. see Beyer, W. A.; et al., 92k:51031 

Yoon, Chong Chin Regular polygons. (Malayan summary) 92b:51032 


Items with secondary classifications in 51M25 

Kemnitz, Arnfried Rational quadrangles. 92k:11034 

Price, G. Baley On the Pythagorean theorem and the triangle inequality. 92h:51034 

Ringel, Gerhard Equiareal graphs. 92g:05083 

Solynin, A. Yu. Continuous symmetrization of sets, (Russian) 92k:28012 

Vinberg, E. B. The volume of polyhedra on a sphere and in Lobachevsky space. 92j:51027 

Zhang, Han Fang A simplified and strengthened proof of an inequality. (Chinese) 
924:52021 

Zhang, Yao An improvement of the Veljan-Korchmaros inequality. (Chinese. English 
summary) 924:52016 


51M30 Line geometries and their generalizations 
[see also 53A25] 
Kurilj, Paula Ein Beitrag zum Achsenkomplex eines kubischen Nullsystems. (English 


and Serbo-Croatian summaries) [Contribution to the axial line complex of a cubic null 
system] 92¢:51029 





863 1992 


51M35 Synthetic treatment of fundamental manifolds in 
projective geometries (Grassmannians, Veronesians 
and their generalizations) [see also 14M15] 

Hangan, Théodor On the fundamental theorem of projective geometry. 92j:51030 


Items with secondary classifications in 51M35 

Bracho, Javier (with Calvillo Vives, Gilberto) Homotopy classification of projective convex 
sets. 92b:52019 

Calvillo Vives, Gilberto see Bracho, Javier, 92b:52019 


51M99 None of the above, but in this section 


Pi, Ming Zhi Numerical analysis for position relations of geometric elements in E”. 
(Chinese. English summary) 92h:51036 

Schwarz, Binyamin (with Zaks, Abraham) Non-Euclidean motions in projective matrix 
spaces. 92a:51025 

Zaks, Abraham see Schwarz, Binyamin, 92a:51025 


Items with secondary classifications in 51M99 

Chou, Shang-Ching (with Schelter, William F.; Yang, Jin Gen) Characteristic sets and 
Grébner bases in geometry theorem proving. 92a:68131 

Gao, Xiao Shan Transcendental functions and mechanical theorem proving in elementary 
geometries. 92f:03010 

Ingarden, Roman S. (with Tamassy, L.) On parabolic trigonometry in a degenerate 
Minkowski plane. 92c:51005 

Schelter, William F. see Chou, Shang-Ching; et al., 92a:68131 

Tamassy, L. see Ingarden, Roman S., 92¢:51005 

Ungar, Peter Mixing property of the pedal mapping. 92b:11055 

Yang, Jin Gen see Chou, Shang-Ching; et al., 92a:68131 


51Nxx Analytic and descriptive geometry 


51N05 Descriptive geometry [see also 65D17, 68U07] 


Li, Jia Yan Orthogonal projection of surfaces of rotation in N-dimensional space. (Chinese. 
English summary) 

Siwek, Halina On a mapping of a hypersphere and its hypermeridians and hyperparallels in 
four-dimensional Euclidean space. (Polish. English summary) 92f:51019 

Xu, Shi Ping A geometric proof that a space angle is equal to two projecting angles. 
(Chinese. English summary) 92m:51043 


Items with secondary classifications in 51N05 


Malakhov, A. I. * Mccneqopanne reoMeTpH4ecko CTpyKTypbl MHOTOMEpHEIX (buryp. 
(Russian) [Investigation of the geometric structure of multidimensional figures] 
92g:51001 

Pareigis, Bodo * Analytische und projektive Geometrie fiir die Computer-Graphik. 
(German) [Analytic and projective geometry for computer graphics] 92m:65182 


51N10 Affine analytic geometry 


Borisov, Adriyan V. Invariant densities of conics under the equiform group of the Galilean 
plane. 92j:51031 

Gong, Shi Yu An affine transformation of two-plane fields and its application in engineering. 
(Chinese. English summary) 924:51021 

Heise, Werner (with Sérensen, Kay) Was Sie schon immer iiber affine Punktraume wissen 
wollten oder Keine Angst vor Translationen. (English summary) [Everything you always 
wanted to know about affine point spaces or Don’t be afraid of translations] 92k:51032 

Kucharzewski, Mieczystaw Uber Eigenschaften gewisser Untermengen der Kleinschen 
Raume. [On properties of certain subsets of Klein spaces] 92a:51026 

Muzalewski, Michal An algebraic approach to the foundations of Euclidean elementary 
constructions and Euclidean geometry. (Russian summary) 92¢:51032 

Pickert, Ginter Eine affingeometrische Anwendung der komplexen Zahlen. [An affine- 
geometric application of complex numbers] 92b:51033 

Schroder, Eberhard M. On the geometric structure of groups of affine motions. 92a:51027 

Sdrensen, Kay see Heise, Werner, 92k:51032 


51N15 Projective analytic geometry 


Chen, Dong Xiang Graphics of the intersections and common tangents of two conics. 
(Chinese. English summary) 92b:51034 

Degoli, Lando Sur l'utilisation des déter-cubes dans les systémes linéaires de quadriques. 
[Using deter-cubes in linear systems of quadrics] 92b:51035 

Otsuki, Tominosuke A new proof of Otsuki’s theorem on pentagons in P?(R). 92i:51029 

Palman, Dominik Uber zirkulare Kurven 3. Ordnung der isotropen Ebene. (English and 
Serbo-Croatian summaries) [On circular curves of third-order in the isotropic plane] 
92g:51021 

Réschel, Otto Ein raumliches Analogon zur Chordalkurve zweier Kegelschnitte. [A spatial 
analogue for the chordal curve of two conics] 92j:51032 


Items with secondary classifications in 51N15 

Gottlieb, Alex D. (with Lipman, Joseph) Group-theoretic axioms for projective geometry. 
92g:51002 

Lipman, Joseph see Gottlieb, Alex D., 92g:51002 

Sherk, F. A. The projective antecedent of the three reflection theorem. 92f:51012 

Whiteley, Walter Invariant computations for analytic projective geometry. 92k:03008 

Witczytiski, Krzysztof Collineations in the projective complex space as products of 
harmonic homologies. 92i:51032 


51P Geometry and physics (should also be assigned at least one other classification number from Sections 70-86) 


51N20 Euclidean analytic geometry 


Foreman, J. W., Jr. The conic sections revisited. 92i:51030 

Giering, Oswald Uber den Grad eines raumlichen Trilaterationsproblems. [On the degree of 
a spatial trilateration problem] 92e:51030 

Havel, Timothy F. Some examples of the use of distances as coordinates for Euclidean 
geometry. 92j:51033 

Paluszny, M. (with Wilker, John B.) A case of the 3-dimensional problem of Apollonius. 
92b:51036 

Réschel, Otto Eine interessante Familie von Drehquadriken. (English summary) [An 
interesting family of quadrics of rotation] 92k:51033 

Song, Jing Tian Degenerate conics and singular points. (Chinese. English summary) 

Wilker, John B. see Paluszny, M., 92b:51036 

Zeitler, Herbert Aus der kinematischen Geometrie: Hypozykloiden. [From kinematic 
geometry: hypocycloids] 92c¢:51033 

Zhou, Liang De A study on the intersection of an orthogonal cone and an oblique cone with 
a common generator. (Chinese. English summary) 92h:51037 


Items with secondary classifications in 51N20 

Cho, Eung Chun The generalized cross product and the volume of a simplex. 92k:51024a 

— Pythagorean theorems on rectangular tetrahedron. 92k:51024b 

Chou, Shang-Ching see Gao, Xiao Shan, 92m:14077 

Dong, Xiao Xing see Zhou, Dao Sheng; et al., 92f:53006 

Gao, Xiao Shan (with Chou, Shang-Ching) On the normal parameterization of curves and 
surfaces. 92m:14077 

Kim, Jin Bai n-dimensional sine and cosine functions. 92j:51025 

Lozitskii, E. L. Angles in plane geometries. (Russian) 92m:53025 

Masuda, Kazuo see Otsuki, Tominosuke, 922:51022 

Otsuki, Tominosuke (with Masuda, Kazuo) Certain theorems on pentagons. 92a:51022 

Yu, Zhi Hong Using the method of polar coordinates to prove Longuerre’s theorem. 
(Chinese. English summary) 

Zhou, Dao Sheng (with Dong, Xiao Xing) The polar equivalence problem for a base sphere 
on a surface of second order. (Chinese. English summary) 92f:53006 


51N25 Analytic geometry with other transformation groups 


Klotzek, Benno Uber diskrete Bewegungsgruppen der pseudoeuklidischen Ebene. (English 
and Russian summaries) [On discrete motion groups of the pseudo-Euclidean plane] 
92d:51022 

Radziszewski, Krzysztof Groups of dilatations of degenerate hyperbolic spaces. 92k:51034 

Sachs, Hans Vollstandig zirkulare Kurven n-ter Ordnung der isotropen Ebene. [Completely 
circular curves of nth order of the isotropic plane] 92a:51028 

— Die Strommer-Zykliden des Flaggenraumes. (English summary) [The Strommer cyclides 
of the flag space] 92m:51044 

Verma, Krishnanand A generalized concept of inversion transformation. 92i:51031 


51N30 Geometry of classical groups [see also 20Gxx, 14L35] 
Kniippel, F. (with Nielsen, Klaus) SL(V) is 4-reflectional. 92f:51020 

Nielsen, Klaus see Kniippel, F., 92f:51020 

Items with secondary classifications in 51N30 


Kucharzewski, Mieczystaw Uber Eigenschaften gewisser Untermengen der Kleinschen 
Raume. [On properties of certain subsets of Klein spaces] 92a:51026 


51N35 Questions of classical algebraic geometry 
[see also 14Nxx] 
Witczyriski, Krzysztof Collineations in the projective complex space as products of 
harmonic homologies. 92i:51032 
Items with secondary classifications in 51N35 


Jelonek, Zbigniew A note on the Pascal theorem and automorphism of conics. 92i:14050 
Mazurovskii, V. F. Nonsingular configurations of k-dimensional subspaces of a (2k + 1)- 
dimensional real projective space. (Russian. English summary) 92j:51023 


51N99 None of the above, but in this section 


Items with secondary classifications in 51N99 


Chen, Qi Xu Using the category point of view to classify geometries. (Chinese. English 
summary) 


51P05 Geometry and physics (should also be assigned 
at least one other classification number from 
Sections 70-86) 


Chentsov, N. N. see Morozova, E. A., 92j:51034 

Morozova, E. A. (with Chentsov, N. N.) Projective Euclidean geometry and noncommuta- 
tive probability theory. (Russian) 92j:51034 

Rabinovich, B. V. Homothetic mappings of distinguishing space-time. (Russian) 92a:51029 


Items with secondary classifications in 51P05 

Agop, M. (with Bruma, C.) La théorie étalon rapportée au groupe de Barbilian. (English 
summary) [Gauge theory of the Barbilian group] 92e:81143 

— see also Mazilu, N., 92i:53018 and Zet, Gh., 92i:83047 

Bruma, C. see Agop, M., 92e:81143 

Mazilu, N. (with Agop, M.) Le transport paralléle Levi-Civita du plan de Lobatchevski. 
Quelques significations physiques des variables de Barbilian. [Levi-Civita parallel 





51P05 


transport of the Lobachevskii plane. Geometric interpretation of the Barbilian variables] 
92i:53018 
Rozental’, I. L. * Mexanuxa Kak reometpua. (Russian) [Mechanics as geometry] 92k:83002 
Zet, Gh. (with Agop, M.) Implications of the Barbilian group in modern physics. I, II. 
(Romanian. French summary) 92i:83047 


52-XX Convex and discrete geometry 


52-01 Instructional exposition (textbooks, tutorial papers, etc.) 
Atiyah, Michael Francis The icosahedron. 92f:52001 


Items with secondary classifications in 52-01 

(Adnadjevi¢é, Dusan) see Boltyanskii, V. G., 92f:54001 

Boltyanskii, V.G. (with Efremovich, V. A.) * Otigledna topologija. (Serbo-Croatian) 
[Descriptive topology] 92f:54001 

Efremovich, V. A. see Boltyanskii, V. G., 92f:54001 

Honsberger, Ross * More mathematical morsels. 92b:00004 

(Novikov, S. P.) see Boltyanskii, V. G., 92f:54001 

Senechal, Marjorie * Crystalline symmetries. 92c:20092 


52-02 Research exposition (monographs, survey articles) 

Croft, Hallard T. (with Falconer, Kenneth J.; Guy, Richard K.) * Unsolved problems in 
geometry. 92c:52001 

Falconer, Kenneth J. see Croft, Hallard T.; et al., 92c:52001 

Guy, Richard K. see Croft, Hallard T.; et al., 92c:52001 

Moser, William O. J. Problems, problems, problems. 92d:52001 

Zamfirescu, Tudor Baire categories in convexity. 92¢:52002 


52-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 52-03 

Gruber, Peter Manfred Zur Geschichte der Konvexgeometrie und der Geometrie der 
Zahlen. [On the history of convex geometry and the geometry of numbers] 92c:01029 

Mackay, Alan L. Crystals and fivefold symmetry. 92b:52043 

Taylor, Jean E. Zonohedra and generalized zonohedra. 92k:52019 


52-06 Proceedings, conferences, collections, etc. 


(Goodman, Jacob E.) see Discrete and computational geometry, 92h:52001 


(Hargittai, Istvan) see Quasicrystals, networks, and molecules of fivefold symmetry, 
92b:52001 


(Pollack, Richard M.) see Discrete and computational geometry, 92h:52001 

(Steiger, William) see Discrete and computational geometry, 92h:52001 

Items listed otherwise than by author 

Discrete and computational geometry * Discrete and computational geometry. 92h:52001 

New Brunswick, NJ * Discrete and computational geometry. 92h:52001 

Quasicrystals, networks, and molecules of fivefold symmetry * Quasicrystals, networks, and 
molecules of fivefold symmetry. 92b:52001 

Workshop: 


Discrete and Computational Geometry * Discrete and computational geometry. 
92h:52001 


Items with secondary classifications in 52-06 

(Bhattacharya, Prabir) see Vision geometry, 92a:00043 

(Lindenstrauss, J.) see Geometric aspects of functional analysis, 92b:00029 
(Melter, Robert A.) see Vision geometry, 92a:00043 

(Milman, Vitali D.) see Geometric aspects of functional analysis, 92b:00029 
(Rosenfeld, Azriel) see Vision geometry, 92a:00043 


Items listed otherwise than by author 


Contemporary Mathematics * Vision geometry. 92a:00043 
Geometric aspects of functional analysis * Geometric aspects of functional analysis. 
92b:00029 
Hoboken, NJ * Vision geometry. 92a:00043 
Lecture Notes in Mathematics * Geometric aspects of functional analysis. 92b:00029 
Seminar: 
Geometric Aspects of Functional Analysis * Geometric aspects of functional analysis. 
92b:00029 
Session: 
Geometry Related to Computer Vision * Vision geometry. 92a:00043 
Vision geometry * Vision geometry. 92a:00043 


52Axx General convexity 
Items with secondary classifications in 52Axx 


Beltagy, M. Foot points and convexity in manifolds without conjugate points. 
— Convexity in manifolds without conjugate points. 


GEOMETRY 


52A01 Axiomatic and generalized convexity 


Horvath, Charles D. Convexité généralisée et applications. [Generalized convexity; 
applications] 92d:52002 

— Contractibility and generalized convexity. 92f:52002 

Kolodziejczyk, Krzysztof Generalised Helly and Radon numbers. 92j:52001 

Martinez-Legaz, Juan-Enrique (with Singer, Ivan) Multi-order convexity. 92:52003 

Melnik, V. L. On generalized convex sets. (Russian) 92b:52002 

Pini, Rita Invexity and generalized convexity. 92g:52001 

Singer, Ivan see Martinez-Legaz, Juan-Enrique, 92f:52003 

Wieczorek, Andrzej Survey of results on Kakutani property of spaces with generalized 
convexity. (French summary) 92h:52002 


Items with secondary classifications in 52A01 

Dawson, Robert J. MacG. Homology of weighted simplicial complexes. (French summary) 
92£:55028 

Hertel, Eike Einige geometrische Aspekte der Bildverarbeitung. (English summary) [Some 
geometric aspects of image processing] 92h:68091 

Onn, Shmuel On the geometry and computational complexity of Radon partitions in the 
integer lattice. 92d:52041 


52A05 Convex sets without dimension restrictions 


Bair, J. (with Dupin, Jean-Claude; Valein, J. L.) Convexes paraboliques et décomposition 
d’un espace vectoriel. (English summary) [Parabolic convex sets and decomposition of a 
linear space] 92f:52004 

Domenech Blazquez, Margarita see Rossell i Garriga, Josep Maria; et al., (92m:00050) 

Dupin, Jean-Claude (with Valein, J. L.) Position générale, position symétrique et propriété 
d@’ intersection. (English summary) [General position, symmetric position and the 
intersection property] 92a:52001 

— see also Bair, J.; et al., 92£:52004 

Gruber, Peter Manfred The endomorphisms of the lattice of convex bodies. 92h:52003 

Lassonde, Mare (with Schenkel, Claire) KKM principle, fixed points, and Nash equilibria. 
92m:52001 

Rossell i Garriga, Josep Maria (with Doménech Blazquez, Margarita; Rubio i Diaz, Pedro) 
Interior and closure of convex sets by their generalized Minkowski function. (Spanish. 
English summary) (see 92m:00050) 

Rubié i Diaz, Pedro see Rossell i Garriga, Josep Maria; et al., (92m:00050) 

Schenkel, Claire see Lassonde, Marc, 92m:52001 

Valein, J. L. see Dupin, Jean-Claude, 92a:52001 and Bair, J.; et al., 92£:52004 


Items with secondary classifications in 52A05 


Beer, Gerald A. Mosco convergence and weak topologies for convex sets and functions. 
92j:46022 


52A07 Convex sets in topological vector spaces [see also 46A55] 


Edelstein, Michael On the indecomposability of compact convex sets. 92i:52001 

Klee, Victor (with Maluta, Elisabetta; Zanco, Clemente) Uniform properties of collections 
of convex bodies. 92k:52001 

Maluta, Elisabetta see Klee, Victor; et al., 92k:52001 

Thompson, Anthony C. A theorem about affine maps in Banach spaces. 92f:52005 

Zanco, Clemente see Klee, Victor; et al., 92k:52001 


Items with secondary classifications in 52A07 

Dieckmann, Gregor A characterization of the Korovkin closure with respect to functionals. 
92h:46013 

Domenech Blazquez, Margarita see Rossell i Garriga, Josep Maria; et al., (92m:00050) 

Godun, B. V. (with Lin, Bor-Luh; Troyanski, S. L.) On the strongly extreme points of 
convex bodies in separable Banach spaces. 92f:46014 

Kutzarova, Denka N. (with Rolewicz, S.) On nearly uniformly convex sets. 92i:46020 

Lin, Bor-Luh see Godun, B. V.; et al., 92f:46014 

Lin, Pei-Kee Some remarks of drop property. 92i:46021 

Liu, Féng Ché On a form of KKM principle and Sup Inf Sup inequalities of von Neumann 
and of Ky Fan type. 92b:47103 

Mulvey, Christopher J. (with Pelletier, Joan Wick) A geometric characterization concerning 
compact, convex sets. 92a:46095 

Pelletier, Joan Wick see Mulvey, Christopher J., 92a:46095 

Rolewicz, S. see Kutzarova, Denka N., 92i:46020 

Romanowska, A. B. (with Smith, Jonathan D. H.) On the structure of barycentric algebras. 
92g:08002 

Rossell i Garriga, Josep Maria (with Doménech Blazquez, Margarita; Rubié i Diaz, 
Pedro) Generalizations of the Hahn-Banach theorem. (Spanish. English summary) (see 
92m:00050) 

Rubi6 i Diaz, Pedro see Rossell i Garriga, Josep Maria; et al., (92m:00050) 

Schaefer, Helmut H. On convex hulls. 92m:46018 

Smith, Jonathan D. H. see Romanowska, A. B., 92g:08002 

Troyanski, S. L. see Godun, B. V.; et al., 92:46014 

Wieczorek, Andrzej Compressibility: a property of topological spaces related to abstract 
convexity. 92i:54003 

Zalinescu, C. A result on sets, with applications to vector optimization. 92k:90086 

Zhuang, D. M. Bases of convex cones and Borwein’s proper efficiency. 92h:90113 


52A10 Convex sets in 2 dimensions (including convex curves) 
[see also 53A04] 


Ahlfeld, Uwe (with Hecker, Hans-Dietrich) Eine Hierarchie einfacher Polygone. [A 
hierarchy of simple polygons] 92f:52006 

Bavaud, Francois Adjoint transform, overconvexity and sets of constant width. 92k:52002 

Bezdek, A. (with Bezdek, Karoly; Bisztriczky, Tibor) On the (n — 2)-transversals of n 
convex subsets of the plane. 92j:52002 





865 1992 


Bezdek, Kdroly see Bezdek, A.; et al., 92j:52002 

Bisztriczky, Tibor see Bezdek, A.; et al., 92j:52002 

Cieslak, Waldemar (with Géidz, Stanislaw) Properties of finite systems of convex curves. 
(Turkish summary) 92f:52007 

Czyzowicz, Jurek (with Rivera~-Campo, Eduardo; Urrutia, Jorge; Zaks, Joseph) Separating 
convex sets in the plane. 92m:52002 

Firedi, Zoltin Decomposition of a convex region by lines. 92b:52003 

Géidi, Stanislaw see Cieslak, Waldemar, 92f:52007 

Harzheim, Egbert A combinatorial theorem which is related to the invariance of the 
separating set for the plane. 92f:52008 

Hecker, Hans-Dietrich see Ahlfeld, Uwe, 92f:52006 

Kolodziej, Rafat The antibilliard outside a polygon. (Russian summary) 92g:52002 

Laget, B. Coefficient de Minkowski, distance de Asplund et structures de l’ensemble des 
corps convexes du plan. [Minkowski coefficient, Asplund distance and structures of the set 
of convex bodies in the plane] 92b:52004 

Lassak, Marek Approximation of convex bodies by triangles. 92h:52004 

Michelacci, G. Inscribed polygons and fixed points of homeomorphisms on the circle. 
92h:52005 

Nguyén Manh Hing see Soltan, V. P., 92b:52005 

Osserman, Robert Circumscribed circles. 92f:52009 

Rivera-Campo, Eduardo see Czyzowicz, Jurek; et al., 92m:52002 

Scott, Paul R. An extension of Blaschke’s theorem in the plane. 92d:52003 

Simon, Julie D. Bounds on the cardinalities of families of nearly neighborly quadrilaterals. 
92i:52002 

Soltan, V. P. (with Nguyén Manh Hing) Some notes about affine diameters of convex 
figures. 92b:52005 

Urrutia, Jorge see Czyzowicz, Jurek; et al., 92m:52002 

Zaks, Joseph see Czyzowicz, Jurek; et al., 92m:52002 


Items with secondary classifications in 52A10 

Bezdek, A. (with Bezdek, Karoly; Bisztriczky, Tibor) On illumination in the plane by line 
segments. 92m:52009 

Bezdek, Karoly see Bezdek, A.; et al., 92m:52009 

Bisztriczky, Tibor see Bezdek, A.; et al., 92m:52009 

Buda, Andrzej B. (with Mislow, Kurt) On a measure of axiality for triangular domains. 
924:52017 

Cieslak, Waldemar (with G6zdz, Stanislaw) On Barbier’s theorem. (Serbo-Croatian 
summary) 92d:52011 

Dubuc, Serge (with Malik, Abdul) Convex hull of powers of a complex number, trinomial 
equations and the Farey sequence. 92m:11154 

Edelsbrunner, Herbert (with Hajnal, Péter) A lower bound on the number of unit distances 
between the vertices of a convex polygon. 92a:52012 

Géidi, Stanislaw Barbier type theorems for plane curves. 92m:52014 

— see also Cieslak, Waldemar, 92d:52011 

Hajnal, Péter see Edelsbrunner, Herbert, 92a:52012 

Harborth, Heiko (with Jager, Sabine) Konvexe Hiillen von kantenbenachbarten regularen 
Vielecken. [Convex hulls of edge-adjacent regular polygons] 92i:52024 

Jager, Sabine see Harborth, Heiko, 92i:52024 

Laidacker, Michael see Norwood, Frederick Hudson; et al., 92j:52014 

Lassak, Marek Reduced convex bodies in the plane. 92b:52016 

Malik, Abdul see Dubuc, Serge, 92m:11154 

Manselli, Paolo (with Pucci, Carlo) Uniqueness results for evolutes and self-evolvents. 
(Italian. English summary) 92k:53003 

Mislow, Kurt see Buda, Andrzej B., 92d:52017 

Norwood, Frederick Hudson (with Poole, George; Laidacker, Michael) The worm problem 
of Leo Moser. 92j:52014 

Poole, George see Norwood, Frederick Hudson; et al., 92j:52014 

Pucci, Carlo see Manselli, Paolo, 92k:53003 

WeiBbach, Bernulf Einiges iiber Kérper fester Breite. [More on bodies of constant width] 
924:52020 


52A15 Convex sets in 3 dimensions (including convex surfaces) 
[see also 53A05, 53C45] 


Barany, Imre On affinely embeddable sets in the projective plane. 92e:52001 

Bohm, Johannes (with Quaisser, Erhard) * Schénheit und Harmonie geometrischer 
Formen. (German) [Beauty and harmony of geometric forms] 92k:52003 

Cieslak, Waldemar (with Miernowski, Andrzej) Ovaloids of constant width and constant 
brightness. 92m:52003 

(Fischer, Gerd) see Bohm, Johannes, 92k:52003 

Matsumoto, Takeo see Tanemura, Masaharu, 92m:52004 

Miernowski, Andrzej see Cieslak, Waldemar, 92m:52003 

Quaisser, Erhard see Bohm, Johannes, 92k:52003 

Tanemura, Masaharu (with Matsumoto, Takeo) On the density of the p31m packing of 
ellipses. 92m:52004 


Items with secondary classifications in 52A15 

Calvert, Bruce see Fitzpatrick, Simon, 92k:52007 

Fitzpatrick, Simon (with Calvert, Bruce) Convex bodies in R> invariant under projections. 
92k:52007 

Gruber, Peter Manfred A typical convex surface contains no closed geodesic! 92¢:53057 

Mitrinovié, Dragoslav S. (with Petarié, Josip E.; Volenec, Vladimir) An elementary method 
for maximizing of some functions. 92b:52017 

Nuiio Ballesteros, Juan J. (with Romero Fuster, M. Carmen) Curves with no tritangent 
planes in space and their convex envelopes. 924:53004 

Petari¢, Josip E. see Mitrinovi¢, Dragoslav S.; et al., 92b:52017 

Romero Fuster, M. Carmen see Nuio Ballesteros, Juan J., 92d:53004 

Volenec, Viadimir see Mitrinovi¢, Dragoslav S.; et al., 92b:52017 


CONVEX AND DISCRETE GEOMETRY 


52A20 Convex sets in n dimensions (including convex 
hypersurfaces) [see also 53A07, 53C45] 


Ball, Keith The plank problem for symmetric bodies. 92c:52003 

Cel, Jarostaw Uber eine Eigenschaft konvexer Mengen und ihre Anwendung. (Polish 
summary) [On a property of convex sets and its application] 92f:52010 

Chepanov, S. A. see Ryshkov, S. S.; et al., 92f:52011 

DeTemple, Duane W. (with Robertson, Jack M.; Wood, Graham) Uniquely remotal hulls. 
92g:52003 

Dol/nikov, V. L. On the intersection of conical and convex hulls of sets in R”. (Russian) (see 
92m:46002) 

Gerasin, A.I. Visibility of (mn — 1)-convex sets. (Russian) 92j:52003 

Golubyatnikov, V. P. On the unique reconstructibility of compact convex sets from their 
projections. (Russian) 92b:52006 

Kaiser, M. J. (with Morin, T. L.; Trafalis, T. B.) Centers and invariant points of convex 
bodies. 92j:52004 

Karzanov, A. V. (with Khachiyan, L.G.) On the conductance of order Markov chains. 
92m:52005 

Katchalski, M. (with Lewis, Ted; Liu, Andy C. F.) The different ways of stabbing disjoint 

* convex sets. 92k:52004 

Khachiyan, L. G. see Karzanov, A. V., 92m:52005 

Ko, Hwei Mei (with Tan, Kok-Keong) A note on a covering theorem of Ky Fan. 92k:52005 

Kovalev, M. D. Convex sets and hypergraphs. (Russian) 92i:52003 

Kriete, Hartje Internal completeness of cones. 92i:52004 

Leichtweiss, Kurt Bemerkungen zur Monotonie der Affinoberflache von Eihyperflachen. 
[Remarks on the monotonicity of the affine surface area of ovoidal hypersurfaces] 
92j:52005 

— On the history of the affine surface area for convex bodies. 92m:52006 

Lewis, Ted see Katchalski, M.; et al., 92k:52004 

Liu, Andy C. F. see Katchalski, M.; et al., 92k:52004 

Maehara, Hiroshi A remark on a certain completion of a convex set. 92e:52002 

Martini, Horst A new view on some characterizations of simplices. 92a:52002 

Meyer, Mathieu (with Reisner, S.) Characterizations of affinely-rotation-invariant log- 
concave measures by section-centroid location. 92j:52006 

— (with Reisner, S.) A geometric property of the boundary of symmetric convex bodies and 
convexity of flotation surfaces. 92a:52003 

Montejano, Luis Convex bodies with homothetic sections. 92k:52006 

— A characterization of the Euclidean ball in terms of concurrent sections of constant width. 
92b:52007 

Morin, T. L. see Kaiser, M. J.; et al., 92j:52004 

Reisner, S. see Meyer, Mathieu, 92a:52003 and 92j:52006 

Robertson, Jack M. see DeTemple, Duane W.; et al., 92g:52003 

Ryshkov, S.S. (with Chepanov, S. A.; Yakovlev, N. N.) On the disjointness of point 
systems. (Russian) 92f:52011 

Scott, Paul R. An extension of Jung’s theorem. 92e:52003 

Silin, D. B. A generic property of convex sets. (Russian) 92f:52012 

Tan, Kok-Keong see Ko, Hwei Mei, 92k:52005 

Trafalis, T. B. see Kaiser, M. J.; et al., 92j:52004 

Wood, Graham see DeTemple, Duane W.,; et al., 92g:52003 

Yakovlev, N. N. see Ryshkov, S. S.; et al., 92f:52011 

Yost, David Thomas Irreducible convex sets. 92h:52006 

Zucco, Andreana The generic contact of convex bodies with circumscribed homothets of a 
convex surface. 92m:52007 


Items with secondary classifications in 52A20 

Ball, Keith Shadows of convex bodies. 92a:52011 

Barany, Imre (with Perles, M. A.) The Carathéodory number for the k-core. 924:52009 

Behrends, Ehrhard Points of symmetry of convex sets in the two-dimensional complex 
space—a counterexample to D. Yost’s problem. 92f:46007 

Boltyanskii, V.G. (with Soltan, P. S.) Solution of the Hadwiger problem for a class of 
convex bodies. (Russian) 92:52013 

Bourgain, Jean On the distribution of polynomials on high-dimensional convex sets. 
92j:52007 

Clack, Rolf Minkowski surface area under affine transformations. 92f:52016 

Giannopoulos, Apostolos A. A note on a problem of H. Busemann and C. M. Petty 
concerning sections of symmetric convex bodies. 92¢:52009 

Grinberg, Eric L. Isoperimetric inequalities and identities for k-dimensional cross-sections 
of convex bodies. 92g:52008 

Gruber, Peter Manfred The endomorphisms of the lattice of convex bodies. 92h:52003 

Kamenevy, G. K. A class of adaptive schemes for approximation of convex bodies by 
polyhedra. (Russian) 92a:52006 

Kojman, M. (with Perles, M. A.; Shelah, Saharon) Sets in a Euclidean space which are not a 
countable union of convex subsets. 92e:52006 

Kurose, Takashi On the Minkowski problem in affine geometry. 92k:53025 

Levin, Michael (with Olsen, Gunnar H.; Sternfeld, Yaki) Finite-dimensional Polish spaces 
are extreme boundaries of convex bodies in Euclidean space. 92k:54032 

Margolis, Beatriz Compact, convex sets in R” and a riew Banach lattice. I. Theory. 
92d:46055a 

— Compact, convex sets in R” and a new Banach lattice. II. Application: an approximation 
problem. 924:46055b 

Mount, David M. (with Silverman, Ruth) Combinatorial and computational aspects of 
Minkowski decompositions. 92i:52016 

Olsen, Gunnar H. see Levin, Michael; et al., 92k:54032 

Pelczyriski, Aleksander (with Szarek, Stanislaw J.) On parallelepipeds of minimal volume 
containing a convex symmetric body in R". 92b:52014 

Perles, M. A. see Bérany, Imre, 92d:52009 and Kojman, M.; et al., 92e:52006 

Pichorides, S. K. On a recent result of A. Giannopoulos on sections of convex symmetric 
bodies in R". 92d:52013 

Scott, Paul R. On the union of convex bodies with no interior point in common. 92e:52010 

Shelah, Saharon see Kojman, M.; et al., 92¢:52006 





52A20 


Silverman, Ruth see Mount, David M., 92i:52016 

Soltan, P.S. see Boltyanskii, V. G., 92f:52013 

Sternfeld, Yaki see Levin, Michael; et al., 92k:54032 

Szarek, Stanistaw J. see Peiczyiiski, Aleksander, 92b:52014 

Xu, Zong Ben (with Zhang, Jiang She) An algorithm for constructing the N-dimensional 
convex hull of a set of points. (Chinese. English summary) 92m:52032 

Zamfirescu, Tudor Baire categories in convexity. 92¢:52002 

Zhang, Jiang She see Xu, Zong Ben; et al., 92m:52032 


52A21 Finite-dimensional Banach spaces (including special 
norms, zonoids, etc.) [see also 46Bxx] 


Baladze, E. D. Solution of the Székefalvi-Nagy problem for zonoids. (Russian) 92d:52004 

Boltyanskii, V.G. (with Soltan, P. S.) Solution of the Hadwiger problem for a class of 
convex bodies. (Russian) 92f:52013 

Bourgain, Jean On the distribution of polynomials on high-dimensional convex sets. 
92j:52007 

Calvert, Bruce see Fitzpatrick, Simon, 92k:52007 

Fitzpatrick, Simon (with Calvert, Bruce) Convex bodies in R> invariant under projections. 
92k:52007 

Reisner, S. Certain Banach spaces associated with graphs and CL-spaces with 1- 
unconditional bases. 92e:52004 

Rummler, H. On two characteristic properties of Euclidean norms. 92d:52005 

Schechtman, Gideon (with Schmuckenschlager, M.) Another remark on the volume of the 
intersection of two L} balls. 92j:52008 

Schmuckenschliger, M. On the dependence on ¢ in a theorem of J. Bourgain, J. Linden- 
strauss and V. D. Milman. 92i:52005 

— see also Schechtman, Gideon, 92j:52008 

Soltan, P.S. see Boltyanskii, V. G., 92f:52013 


Items with secondary classifications in 52A21 

Ball, Keith The plank problem for symmetric bodies. 92¢:52003 

Margolis, Beatriz Compact, convex sets in R” and a new Banach lattice. I. Theory. 
92d:46055a 

— Compact, convex sets in R” and a new Banach lattice. II. Application: an approximation 
problem. 924:46055b 

Militié, Pavie M. Sur une inégalité complémentaire de l’inégalité triangulaire. (Serbo- 
Croatian summary) [On a complementary inequality of the triangle inequality] 
92b:46022 

Milman, Vitali D. Some applications of duality relations. 92h:52009 

Thompson, Anthony C. A theorem about affine maps in Banach spaces. 92f:52005 

Vitale, Richard A. Expected absolute random determinants and zonoids. 92i:52007 


52A22 Random convex sets and integral geometry 
[see also 53C65, 60D05] 


Affentranger, Fernando (with Wieacker, John A.) On the convex hull of uniform random 
points in a simple d-polytope. 92c:52004 

— (with Schneider, Rolf) Random projections of regular simplices. 92k:52008 

Barany, Imre (with Buchta, Christian) On the convex hull of uniform random points in an 
arbitrary d-polytope. 92j:52009 

Buchta, Christian see Barany, Imre, 92j:52009 

CieSlak, Waldemar On equichordal curves. 924:52006 

Dalla, L. (with Larman, D.G.) Volumes of a random polytope in a convex set. 92m:52008 

Dyer, Martin (with Fiiredi, Zoltan; McDiarmid, Colin) Random volumes in the n-cube. 
92i:52006 

— (with Fiiredi, Zoltan; McDiarmid, Colin) Volumes spanned by random points in the 
hypercube. 92j:52010 

Firedi, Zoltan see Dyer, Martin; et al., 92i:52006 and 92j:52010 

Kemperman, J. H. B. Sets of uniqueness and systems of inequalities having a unique 
solution. 92e:52005 

Larman, D.G. see Dalla, L., 92m:52008 

McDiarmid, Colin see Dyer, Martin; et al., 92i:52006 and 92j:52010 

Miller, Josef S. Approximation of a ball by random polytopes. 92a:52004 

Schneider, Rolf Curvature measures and integral geometry of convex bodies. III. 92a:52005 

— see also Affentranger, Fernando, 92k:52008 

Vassallo, Salvatore Integral geometry of affine space groups that depend on more than eight 
parameters. (Italian. English summary) 92g:52004 

Vitale, Richard A. Expected absolute random determinants and zonoids. 92i:52007 

Wieacker, John A. see Affentranger, Fernando, 92c:52004 


Items with secondary classifications in 52A22 

Alexander, John Ralph Principles of a new method in the study of irregularities of 
distribution. 92f:11106 

Attele, Rohan see Lee, Tao-Lin; et al., 92g:60016 

Baddeley, A. J. see Rodgers, R. P. C., 921:60023 

Bavaud, Francois Adjoint transform, overconvexity and sets of constant width. 92k:52002 

Bern, Marshall (with Eppstein, David; Yao, Foong Frances) The expected extremes in a 
Delaunay triangulation. 92¢:68189 

Buchta, Christian A remark on random approximation of simple polytopes. 92b:60014 

— Distribution-independent properties of the convex hull of random points. 92c:60020 

Budinich, Marco On linear separability of random subsets of hypercube vertices. 92b:92003 

Carnal, H. (with Hisler, J.) On the convex hull of n random points ona circle. 924:60015 

Chazelle, Bernard (with Friedman, Joel) A deterministic view of random sampling and its 
use in geometry. 92¢:68190 

Chen, Beifang The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial 
geometric measures for noncompact polyhedra. 92m:52021 

Chen, Keh-Wei see Lee, Tao-Lin; et al., 92g:60016 

Dwyer, Rex A. Convex hulls of samples from spherically symmetric distributions. 
921:60020 


CONVEX AND DISCRETE GEOMETRY 


Eppstein, David see Bern, Marshall; et al., 92e:68189 

Friedman, Joel see Chazelle, Bernard, 92e:68190 

Goodey, Paul R. (with Howard, Ralph) Processes of flats induced by higher-dimensional 
processes. II. 92f:60017 

— (with Weil, Wolfgang) Centrally symmetric convex bodies and Radon transforms on 
higher order Grassmannians. 92m:52015 

Howard, Ralph see Goodey, Paul R., 92f:60017 

Hisler, J. see Carnal, H., 92d:60015 

Kahane, Jean-Pierre Produits de poids aléatoires indépendants et applications. (English 
summary) [Products of independent random weights, and applications] (see 92f:58002) 

Lee, Tao-Lin (with Chen, Keh-Wei; Attele, Rohan) Modelling random convex sets. 
92g:60016 

Marusova, N. Yu. On a class of problems in integral geometry in a space. (Russian) 
92j:53037 

Mecke, K. R. (with Wagner, Herbert) Euler characteristic and related measures for random 
geometric sets. 92g:82054 

Ohser, Joachim On estimation of pair correlation functions. 92i:60092 

Rataj, J. see Saxl, I., 92¢:52030 

Rodgers, R. P.C. (with Baddeley, A. J.) Nested Monte Carlo study of random packing on 
the sphere. 92i:60023 

Santalé, L. A. Fundamental formulas of stereology using sections by nonlinear manifolds. 
(Spanish. English summary) 92f:60018 

Saxl, I. (with Rataj, J.) Distances of spherical contact in lattices of figures and lattices of 
figures with faults. 92¢:52030 

Vitale, Richard A. The translative expectation of a random set. 92i:60025 

Voléié, Aljosa Some problems in the tomography of homogeneous bodies. (Italian. English 
summary) 92b:92023 

Wagner, Herbert see Mecke, K. R., 92g:82054 

Weil, Wolfgang see Goodey, Paul R., 92m:52015 

Yao, Foong Frances see Bern, Marshall; et al., 92e:68189 


52A27 Approximation by convex sets 


Gruber, Peter Manfred Volume approximation of convex bodies by circumscribed 
polytopes. 92k:52009 

Kamenev, G. K. A class of adaptive schemes for approximation of convex bodies by 
polyhedra. (Russian) 92a:52006 

Kojman, M. (with Peries, M. A.; Shelah, Saharon) Sets in a Euclidean space which are not a 
countable union of convex subsets. 92e:52006 

Perles, M. A. see Kojman, M.; et al., 92e:52006 

Shelah, Saharon see Kojman, M.; et al., 92e:52006 

Svistunov, S. V. Ellipsoidal upper and lower approximation of a given convex polytope. 
(Russian. English summary) 92j:52011 


Items with secondary classifications in 52A27 

Aseev, S.M. Smooth approximations of differential inclusions and the time-optimality 
problem. (Russian) 92m:49039 

Faro Rivas, Ricardo Approximation of symmetric convex bodies by polynomial bodies. I. 
Existence theorems. 92i:41031 

— Approximation of symmetric convex bodies by polynomial bodies. II. Uniqueness and 
contact theorems in width and radius cases. 92i:41032 

— Approximation of symmetric convex bodies by polynomial bodies. III. Area case. 
92i:41033 

Gerards, A.M. H. On cutting planes and matrices. 92h:52013 

Lassak, Marek Approximation of convex bodies by triangles. 92h:52004 

Schiitt, Carsten The convex floating body and polyhedral approximation. 92i:52009 


52A30 Variants of convex sets (star-shaped, (7m, n)-convex, etc.) 


Beltagy, M. A comparison study of convex and starshaped subsets. (Arabic summary) 
92k:52010 

Bezdek, A. (with Bezdek, Karoly; Bisztriczky, Tibor) On illumination in the plane by line 
segments. 92m:52009 

Bezdek, Karoly see Bezdek, A.; et al., 92m:52009 

Bisztriczky, Tibor see Bezdek, A.; et al., 92m:52009 

Breen, Marilyn Measures of F-stars in finitely starlike sets. 92d:52007 

— A Krasnosel'skii theorem for open finitely starlike sets in R>. 92e:52007 

— An intersection property for starshaped sets in the plane. 92e:52008 

— Illumination for unions of boxes in R¢. 92k:52011 

Cel, Jarosiaw Krasnosel’skii-type characterizations for a cone. 92g:52005 

— Intersection formulae for the kernel of a cone. 92g:52006 

Dekster, Boris V. In- and circumcenters of manifolds of constant width. 92e:52009 

Diamond, Phil A note on fuzzy starshaped fuzzy sets. 92a:52007 

Dietzenbacher, Erik see Sierksma, Gerard, 92d:52008 

Sierksma, Gerard (with Dietzenbacher, Erik) Starshapedness and its applications to input- 
output models. 92d:52008 


Items with secondary classifications in 52A30 

Bandelt, Hans-Jiirgen (with van de Vel, M.) Superextensions and the depth of median 
graphs. 92m:05190 

Barany, Imre (with Perles, M. A.) The Carathéodory number for the k-core. 924:52009 

Bruckstein, Alfred M. see Shaked, D.; et al., 92g:52014 

Canino, Annamaria Local properties of geodesics on p-convex sets. 92k:53074 

Dupin, Jean-Claude (with Valein, J. L.) Position générale, position symétrique et propriété 
d’intersection. (English summary) [General position, symmetric position and the 
intersection property] 92a:52001 

Faro Rivas, Ricardo Approximation of symmetric convex bodies by polynomial bodies. I. 
Existence theorems. 92i:41031 

— Approximation of symmetric convex bodies by polynomial bodies. II. Uniqueness and 
contact theorems in width and radius cases. 92i:41032 





867 1992 


— Approximation of symmetric convex bodies by polynomial bodies. III. Area case. 
92i:41033 

Koplowitz, J. see Shaked, D.; et al., 92g:52014 

Perles, M. A. see Baérany, Imre, 92d:52009 

Shaked, D. (with Koplowitz, J.; Bruckstein, Alfred M.) Star-shapedness of digitized planar 
shapes. 92g:52014 

Shermer, Thomas Covering and guarding polygons using L,-sets. 92f:52015 

Valein, J. L. see Dupin, Jean-Claude, 92a:52001 

van de Vel, M. see Bandelt, Hans-Jirgen, 92m:05190 


52A35 Helly-type theorems 


Barany, Imre (with Perles, M. A.) The Carathéodory number for the k-core. 92d:52009 

Eckhoff, Jiirgen Intersection properties of boxes. II. Extremal families. 92m:52010 

Perles, M. A. see Baérany, Imre, 924:52009 

Pollack, Richard M. (with Wenger, Rephael) Necessary and sufficient conditions for 
hyperplane transversals. 92b:52008 

Scott, Paul R. On the union of convex bodies with no interior point in common. 92e:52010 

Wenger, Rephael see Pollack, Richard M., 92b:52008 


Items with secondary classifications in 52A35 

Bezdek, A. (with Bezdek, Karoly; Bisztriczky, Tibor) On illumination in the plane by line 
segments. 92m:52009 

Bezdek, Karoly see Bezdek, A.; et al., 92m:52009 

Bisztriczky, Tibor see Bezdek, A.; et al., 92m:52009 

Breen, Marilyn Measures of F-stars in finitely starlike sets. 92d:52007 

— A Krasnosel’skii theorem for open finitely starlike sets in R?. 92e:52007 

Cel, Jarostaw Krasnosel'skii-type characterizations for a cone. 92g:52005 

— Intersection formulae for the kernel of a cone. 92g:52006 

Katchalski, M. (with Lewis, Ted; Liu, Andy C. F.) The different ways of stabbing disjoint 
convex sets. 92k:52004 

Lewis, Ted see Katchalski, M.; et al., 92k:52004 

Liu, Andy C.F. see Katchalski, M.; et al., 92k:52004 

Massouros, Ch. G. On the semi-sub-hypergroups of a hypergroup. 92c:20133 

Quilliot, Alain Points fixes, rétractions sur des structures discrétes et applications. [Fixed 
points, retractions on discrete structures and applications] 92c:05157 


52A37 Other problems of combinatorial convexity 


Ball, Keith Isometric embedding in /,-spaces. 92f:52014 

Banaszczyk, W. The Steinitz lemma in /2,. 92m:52011 

Bérany, Imre (with Firedi, Zoltan; Lovasz, Laszl6) On the number of halving planes. 
92b:52009 

— (with Goodman, Jacob E.; Pollack, Richard M.) Do projections go to infinity? 


92m:52012 

Bisztriczky, Tibor (with Fejes Téth, G.) Convexly independent sets. 92c:52005 

Borwein, Peter B. (with Moser, William O. J.) A survey of Sylvester’s problem and its 
generalizations. 92b:52010 

Brightwell, Graham R. (with Winkler, Peter M.) Sphere orders. 92b:52011 

Chakerian, Don (with Logothetti, Dave) Cube slices, pictorial triangles, and probability. 
92h:52007 

Fejes Toth, G. see Bisztriczky, Tibor, 92c:52005 

Firedi, Zoltin The maximum number of unit distances in a convex n-gon. 92b:52012 

— Maximal independent subsets in Steiner systems and in planar sets. 92c:52006 

— see also Bérany, Imre; et al., 92b:52009 

Gardner, Richard J. Measure theory and some problems in geometry. 92d:52010 

Goodman, Jacob E. see Baradny, Ime; et al., 92m:52012 

Haiman, Mark A simple and relatively efficient triangulation of the n-cube. 92e:52011 

Komjath, Péter Tetrahedron free decomposition of R?. 92i:52008 

Logothetti, Dave see Chakerian, Don, 92h:52007 

Lovasz, Laszlé6 see Barany, Imre; et al., 92b:52009 

Moser, William O. J. see Borwein, Peter B., 92b:52010 

Pollack, Richard M. see Barany, Imre; et al., 92m:52012 

Sevast'yanov, S. V. On the compact summation of vectors. (Russian) 92k:52012 

Shermer, Thomas Covering and guarding polygons using L;,-sets. 92f:52015 

Teumer, G. W. Equiareal sets in R¢. 92a:52008 

Winkler, Peter M. see Brightwell, Graham R., 92b:52011 


Items with secondary classifications in 52A37 

Bezdek, A. (with Bezdek, Karoly; Bisztriczky, Tibor) On the (n — 2)-transversals of n 
convex subsets of the plane. 92j:52002 

Bezdek, Karoly see Bezdek, A.; et al., 92j:52002 

Bisztriczky, Tibor see Bezdek, A.; et al., 92j:52002 

Boltyanskii, V.G. (with Soifer, Alexander) * Geometric études in combinatorial mathe- 
matics. 92f:52031 

Chilakamarri, Kiran B. Unit-distance graphs in Minkowski metric spaces. 92b:05036 

Eckhoff, Jirgen Intersection properties of boxes. II. Extremal families. 92m:52010 

Erdés, Paul (with Pach, Janos) Variations on the theme of repeated distances. 92b:52037 

— (with Fishburn, Peter C.; Fiiredi, Zoltan) Midpoints of diagonals of convex n-gons. 
92£:52032 

— see also Boltyanskii, V. G., 92f:52031 

Fishburn, Peter C. see Erdés, Paul; et al., 92f:52032 

Firedi, Zoltan see Erdés, Paul; et al., 92f:52032 

Griffiths, H. B. The topology of square pegs in round holes. 92h:55004 

(Griinbaum, Branko) see Boltyanskii, V. G., 92f:52031 

Harborth, Heiko (with Piepmeyer, Lothar) Points sets with small integral distances. 
92i:52022 

— (with Weiss, Hartmut) Minimum sets of partial polyominoes. 92g:05064 

Kooshesh, Ali A. (with Moret, Bernard M. E.; Székely, L. A.) Improved bounds for the 
prison yard problem. 92k:52037 


52A General convexity 


Moret, Bernard M. E. see Kooshesh, Ali A.; et al., 92k:52037 

Pach, Janos see Erdés, Paul, 92b:52037 

Piepmeyer, Lothar see Harborth, Heiko, 92i:52022 

Rosenfeld, Moshe Almost orthogonal lines in E?. 92f:52034 

(Rousseau, C.C.) see Boltyanskii, V. G., 92f:52031 

Sharir, Micha (with Skiena, Steven S.) Tight bounds on a problem of lines and intersec- 
tions. 92¢:52020 

Skiena, Steven S. see Sharir, Micha, 92c:52020 

Soifer, Alexander see Boltyanskii, V. G., 92f:52031 

Székely, L. A. see Kooshesh, Ali A.; et al., 92k:52037 

Weiss, Hartmut see Harborth, Heiko, 92g:05064 


52A38 Length, area, volume [see also 26B15, 28A75, 49Q20] 


Boju, Valentin (with Funar, Louis) Generalized area in Minkowskian spaces. 92c:52007 

Bourgain, Jean On the Busemann-Petty problem for perturbations of the ball. 92c:52008 

Capoyleas, Vasilis (with Pach, Janos) On the perimeter of a point set in the plane. 
92k:52013 

Cieslak, Waldemar (with Géidz, Stanislaw) On Barbier’s theorem. (Serbo-Croatian 
summary) 92d:52011 

Clack, Rolf Minkowski surface area under affine transformations. 92f:52016 

Dove, Kevin L. (with Sumner, John S.) Tetrahedra with integer edges and integer volume. 
92m:52013 

Funar, Louis see Boju, Valentin, 92c:52007 

Giannopoulos, Apostolos A. A note on a problem of H. Busemann and C. M. Petty 
concerning sections of symmetric convex bodies. 92c:52009 

Géidi, Stanislaw Barbier type theorems for plane curves. 92m:52014 

— see also Cieslak, Waldemar, 92d:52011 

Groemer, H. Stability properties of Cauchy’s surface area formula. 92h:52008 

Henk, Martin Inequalities between successive minima and intrinsic volumes of a convex 
body. 92a:52009 

Lutwak, Erwin On a conjectured projection inequality of Petty. 92c:52010 

— Extended affine surface area. 92d:52012 

Meyer, Mathieu (with Pajor, Alain) On the Blaschke-Santalé inequality. 92b:52013 

Milman, Vitali D. Some applications of duality relations. 92h:52009 

Pach, Janos see Capoyleas, Vasilis, 92k:52013 

Pajor, Alain see Meyer, Mathieu, 92b:52013 

Pelczytiski, Aleksander (with Szarek, Stanislaw J.) On parallelepipeds of minimal volume 
containing a convex symmetric body in R". 92b:52014 

Pichorides, S. K. On a recent result of A. Giannopoulos on sections of convex symmetric 
bodies in R". 92d:52013 

Schiitt, Carsten The convex floating body and polyhedral approximation. 92i:52009 

Scott, Paul R. Volume inequalities using sections of convex sets. 92d:52014 

Sumner, John S. see Dove, Kevin L., 92m:52013 

Szarek, Stanislaw J. see Pelczyiski, Aleksander, 92b:52014 

Zhang, Yao A conjecture on simplices. (Chinese. English summary) 92d:52015 

— An improvement of the Veljan-Korchmaros inequality. (Chinese. English summary) 
92d:52016 


Items with secondary classifications in 52A38 


Affentranger, Fernando (with Wieacker, John A.) On the convex hull of uniform random 
points in a simple d-polytope. 92c:52004 

Ball, Keith Volume ratios and a reverse isoperimetric inequality. 92j:52013 

Barany, Imre (with Buchta, Christian) On the convex hull of uniform random points in an 
arbitrary d-polytope. 92j:52009 

Barvinok, A. I. Calculation of exponential integrals. (Russian. English summary) 92i:65228 

Buchta, Christian see Bardny, Imre, 92j:52009 

Buda, Andrzej B. (with Mislow, Kurt) On a measure of axiality for triangular domains. 
92d:52017 

Cieslak, Waldemar (with Maksym, Maria; DeTemple, Duane W.) On polygons circum- 
scribing a closed convex curve. 92a:51024 

Dalla, L. (with Larman, D.G.) Volumes of a random polytope in a convex set. 92m:52008 

Debrunner, Hans E. Dissecting orthoschemes into orthoschemes. 92b:52028 

Delmer, F. (with Deshouillers, Jean-Marc) Simplexes a coordonnées entiéres. (English 
summary) [Simplices with integral coordinates] 92c:11102 

Deshouillers, Jean-Marc see Delmer, F., 92c:11102 

DeTemple, Duane W. see Cieslak, Waldemar; et al., 92a:51024 

Filliman, Paul Symmetric solutions to isoperimetric problems for polytopes. 92f:52028 

Grinberg, Eric L. (with Rivin, Igor) Infinitesimal aspects of the Busemann-Petty problem. 
92e:52012 

— Isoperimetric inequalities and identities for k-dimensional cross-sections of convex 
bodies. 92g:52008 

Groemer, H. (with Schneider, Rolf) Stability estimates for some geometric inequalities. 
92¢:52013 

Kellerhals, Ruth On Schlafli’s reduction formula. 92e:52017 

Kolodziejczyk, Krzysztof Areas of lattice figures in the planar tilings with congruent regular 
polygons. 92j:52035 

Kuperberg, Krystyna A nonparallel cylinder packing with positive density. 92d:52044 

Larman, D.G. see Dalla, L., 92m:52008 

Maksym, Maria see Cieslak, Waldemar; et al., 92a:51024 

Meyer, Mathieu Convex bodies with minimal volume product in R?. 92k:52015 

Mislow, Kurt see Buda, Andrzej B., 92d:52017 

Reznikov, A. G. A strengthened isoperimetric inequality for simplices. 92i:52017 

Rivin, Igor see Grinberg, Eric L., 92e:52012 

Ruzsa, Imre Z. Diameter of sets and measure of sumsets. 92k:28011 

Schechtman, Gideon (with Schmuckenschlager, M.) Another remark on the volume of the 
intersection of two L} balls. 92j:52008 

Schmuckenschlager, M. see Schechtman, Gideon, 92j:52008 

Schneider, Rolf see Groemer, H., 92c:52013 

Scott, Paul R. An extension of Jung’s theorem. 92e:52003 





52A38 


Wieacker, John A. see Affentranger, Fernando, 92c:52004 


52A39 Mixed volumes and related topics 


Ghandehari, Mostafa Polar duals of convex bodies. 92b:52015 

Goodey, Paul R. (with Weil, Wolfgang) Centrally symmetric convex bodies and Radon 
transforms on higher order Grassmannians. 92m:52015 

Lutwak, Erwin On some ellipsoid formulas of Busemann, Furstenberg and Tzkoni, 
Guggenheimer, and Petty. 92k:52014 

McMullen, Peter Inequalities between intrinsic volumes. 92a:52010 

Sangwine-Yager, J. R. Stability for a cap body inequality. 92j:52012 

Schneider, Rolf A stability estimate for the Aleksandrov-Fenchel inequality, with an 
application to mean curvature. 92c¢:52011 

Weil, Wolfgang see Goodey, Paul R., 92m:52015 


52A40 Inequalities and extremum problems 


Ball, Keith Volume ratios and a reverse isoperimetric inequality. 92j:52013 

— Shadows of convex bodies. 92a:52011 

Buda, Andrzej B. (with Mislow, Kurt) On a measure of axiality for triangular domains. 
924:52017 

Edelsbrunner, Herbert (with Hajnal, Péter) A lower bound on the number of unit distances 
between the vertices of a convex polygon. 92a:52012 

Fuglede, Bent Bonnesen’s inequality for the isoperimetric deficiency of closed curves in the 
plane. 92g:52007 

Grinberg, Eric L. (with Rivin, Igor) Infinitesimal aspects of the Busemann-Petty problem. 
92e:52012 

— Isoperimetric inequalities and identities for k-dimensional cross-sections of convex 
bodies. 92g:52008 

Groemer, H. Stability theorems for projections and central symmetrization. 92¢:52012 

— (with Schneider, Rolf) Stability estimates for some geometric inequalities. 92c:52013 

Gromov, Mikhael L. Convex sets and Kahler manifolds. 92d:52018 

Hajnal, Péter see Edelsbrunner, Herbert, 92a:52012 

Laidacker, Michael see Norwood, Frederick Hudson; et al., 92j:52014 

Lassak, Marek Reduced convex bodies in the plane. 92b:52016 

Manselli, Paole (with Pucci, Carlo) Maximum length of steepest descent curves for quasi- 
convex functions. 92d:52019 

Meyer, Mathieu Convex bodies with minimal volume product in R?. 92k:52015 

Mislow, Kurt see Buda, Andrzej B., 92d:52017 

Mitrinovi¢, Dragoslav S. (with Petari¢, Josip E.; Volenec, Vladimir) An elementary method 
for maximizing of some functions. 92b:52017 

Nikonorov, Yu. G. On the largest disk inscribed in a multiply connected domain. (Russian) 
(see 92c:00016) 

Norwood, Frederick Hudson (with Poole, George; Laidacker, Michael) The worm problem 
of Leo Moser. 92j:52014 

Petari¢, Josip E. see Mitrinovi¢, Dragoslav S.; et al., 92b:52017 

Pech, Pavel Inequality between sides and diagonals of a space n-gon and its integral analog. 
(Czech summary) 92¢:52014 

Poole, George see Norwood, Frederick Hudson; et al., 92j:52014 

Pucci, Carlo see Manselli, Paolo, 924d:52019 

Rivin, Igor see Grinberg, Eric L., 92e:52012 

Schneider, Rolf see Groemer, H., 92c:52013 

Teufel, Eberhard A generalization of the isoperimetric inequality in the hyperbolic plane. 
92j:52015 

Volenec, Vladimir see Mitrinovi¢, Dragoslav S.; et al., 92b:52017 

WeiBbach, Bernulf Einiges iiber Kérper fester Breite. [More on bodies of constant width] 
924:52020 

Yang, Xue Zhi Some inequalities for tetrahedra. (Chinese. English summary) 

Zhang, Gao Yong Restricted chord projection and affine inequalities. 92f:52017 

Zhang, Han Fang A simplified and strengthened proof of an inequality. (Chinese) 
924:52021 


Items with secondary classifications in 52A40 


Ball, Keith The plank problem for symmetric bodies. 92c:52003 

Banaszczyk, W. The Steinitz lemma in /2,. 92m:52011 

Barany, Imre (with Buchta, Christian) On the convex hull of uniform random points in an 
arbitrary d-polytope. 92j:52009 

Bohm, Johannes (with Quaisser, Erhard) * Schénheit und Harmonie geometrischer 
Formen. (German) [Beauty and harmony of geometric forms] 92k:52003 

Borner, Walter Simplexe mit streng monotoner Entropiezahlenfolge. [Simplices with 
strongly monotone entropy sequence] 92m:41067 

Brass, Peter The maximum number of second smallest distances in finite planar sets. 
92m:52039 

Buchta, Christian see Bérany, Imre, 92j:52009 

Capoyleas, Vasilis (with Pach, Janos) On the perimeter of a point set in the plane. 
92k:52013 

Czyzowicz, Jurek (with Rivera~-Campo, Eduardo; Urrutia, Jorge; Zaks, Joseph) Separating 
convex sets in the plane. 92m:52002 

Du, Ding Zhu (with Hwang, Frank K.) A proof of the Gilbert-Pollak conjecture on the 
Steiner ratio. 92m:05060 

— see also Hwang, Frank K., 92m:05061 

Eckhoff, Jiirgen Intersection properties of boxes. II. Extremal families. 92m:52010 

Elster, K.-H. On duality results in nonconvex optimization. 92j:49036 

Erdés, Paul (with Fishburn, Peter C.; Fiiredi, Zoltan) Midpoints of diagonals of convex n- 
gons. 92f:52032 

(Fischer, Gerd) see Bohm, Johannes, 92k:52003 

Fishburn, Peter C. see Erdés, Paul; et al., 92£:52032 

Firedi, Zoltan The densest packing of equal circles into a parallel strip. 92e:52025 

— see also Erdés, Paul; et al., 92f:52032 

Gaspar, Zsolt see Tarnai, Tibor, 92m:52043 


CONVEX AND DISCRETE GEOMETRY 1992 868 


Guillerme, Jean Les inégalités “Inf-Sup < Sup-Inf”. (English summary) [The inequalities 
“Inf-Sup < Sup-Inf”] 92j:47136 

Harborth, Heiko (with Jager, Sabine) Konvexe Hiillen von kantenbenachbarten regularen 
Vielecken. [Convex hulls of edge-adjacent regular polygons] 92i:52024 

Hwang, Frank K. (with Du, Ding Zhu) Steiner minimal trees on Chinese checkerboards. 
92m:05061 

— see also Du, Ding Zhu, 92m:05060 

Jager, Sabine see Harborth, Heiko, 92i:52024 

Kottwitz, D. A. The densest packing of equal circles on a sphere. 92m:52042a 

— Erratum: “The densest packing of equal circles on a sphere”. 92m:52042b 

Kripfganz, Anita Inpolygons of minimal diameter. 92k:49047 

Lehman, Alfred The width-length inequality and degenerate projective planes. 92c:90091 

Lojasiewicz, Stanislaw, Jr. Parametrizations of convex sets. 92j:49003 

Lutwak, Erwin On a conjectured projection inequality of Petty. 92c:52010 

Makai, Endre, Jr. (with Martini, Horst) On the number of antipodal or strictly antipodal 
pairs of points in finite subsets of R¢. 92f:52020 

Martini, Horst see Makai, Endre, Jr., 92f:52020 

Meyer, Mathieu (with Pajor, Alain) On the Blaschke-Santalé inequality. 92b:52013 

Milman, Vitali D. Some applications of duality relations. 92h:52009 

Nguyén Manh Hing see Soltan, V. P., 92b:52005 

Pach, Janos see Capoyleas, Vasilis, 92k:52013 

Pajor, Alain see Meyer, Mathieu, 92b:52013 

Peliczytiski, Aleksander (with Szarek, Stanislaw J.) On parallelepipeds of minimal volume 
containing a convex symmetric body in R". 92b:52014 

Provan, J. Scott The role of Steiner hulls in the solution to Steiner tree problems. 
92m:05186 

Quaisser, Erhard see Bohm, Johannes, 92k:52003 

Reznikov, A. G. A strengthened isoperimetric inequality for simplices. 92i:52017 

Rivera-Campo, Eduardo see Czyzowicz, Jurek; et al., 92m:52002 

Sangwine-Yager, J. R. Stability for a cap body inequality. 92j:52012 

Schneider, Rolf A stability estimate for the Aleksandrov-Fenchel inequality, with an 
application to mean curvature. 92c:52011 

Scott, Paul R. Volume inequalities using sections of convex sets. 92d:52014 

(Shenitzer, Abe) see Tikhomirov, V. M., 92k:49002 

Soltan, V. P. (with Nguyen Manh Hing) Some notes about affine diameters of convex 
figures. 92b:52005 

Szarek, Stanislaw J. see Pelczytiski, Aleksander, 92b:52014 

Tang, Dingyi Discrete Wirtinger and isoperimetric type inequalities. 92f:26028 

Tarnai, Tibor (with Gaspar, Zsolt) Arrangement of 23 points on a sphere (on a conjecture 
of R. M. Robinson). 92m:52043 

Tikhomirov, V. M. * Stories about maxima and minima. 92k:49002 

Urrutia, Jorge see Czyzowicz, Jurek; et al., 92m:52002 

Zaks, Joseph see Czyzowicz, Jurek; et al., 92m:52002 

Zhang, Gao Yong Integral geometric inequalities. (Chinese) 92g:53066 

Zhang, Yao An improvement of the Veljan-Korchmaros inequality. (Chinese. English 
summary) 92d:52016 


52A41 Convex functions and convex programs [see also 26B25, 
90C25] 


Dewess, G. (with Helbig, P.) A fast modification of Focke’s shortest inpolygon construc- 
tion. 92f:52018 

Govindarajulu, P. Characterization of strictly convex functions. 92g:52009 

Helbig, P. see Dewess, G., 92f:52018 

Kawohl, Bernhard (with Sweers, Guido) On quasiconvexity, rank-one convexity and 
symmetry. 92e:52013 

Kominek, Zygfryd A characterization of convex functions in linear spaces. (Polish 
summary) 92b:52018 

Schaible, Siegfried Introduction to generalized convexity. (see 92b:90010) 

Sweers, Guido see Kawohl, Bernhard, 92e:52013 


Items with secondary classifications in 52A41 

Andronov, V.G. see Belousov, E. G., 92j:90050 

Bector, C. R. (with Singh, Chanchal) b-vex functions. 92h:90097 

Belousov, E.G. (with Andronov, V.G.) Ravines of functions and absolutely nonuniform 
sets and functions. (Russian) 92j:90050 

Craven, B. D. see Sach, P. H., 92k:90083 

Dolidze, Z.O. Fejér mappings for the intersection of convex sets. (Russian) 92k:90063 

Dragomir, Sever Silvestru An improvement of Jensen’s inequality. 92k:26043 

Fujishige, Satoru Linear and nonlinear optimization problems with submodular constraints. 
92e:90055 

Gorni, Gianluca Conjugation and second-order properties of convex functions. 92g:49030 

Herrero, Carmen (with Villar, Antonio) Vector mappings with diagonal images. 92m:90012 

Huang, Xue Xiang Generalized recession cones and generalized recession functions. 
(Chinese. English summary) 92¢:49022 

Kar, K. (with Nanda, Sudarsan; Mishra, M.S.) Generalization of convex and related 
functions. 92g:26020 

Kelly, Leroy M. (with Murty, Katta G.; Watson, Layne T.) CP-rays in simplicial cones. 
92b:90215 

Kominek, Zygfryd (with Kuczma, Marek) p-convex functions in linear spaces. 92i:46052 

Kuczma, Marek see Kominek, Zygfryd, 92i:46052 

Manselli, Paolo (with Pucci, Carlo) Maximum length of steepest descent curves for quasi- 
convex functions. 92d:52019 

Mehrotra, Sanjay (with Sun, Jie) On computing the center of a convex quadratically 
constrained set. 92b:90166 

Mishra, M.S. see Kar, K.; et al., 92g:26020 

Morris, Walter D., Jr. On the maximum degree of an LCP map. 92c:90116 

Murty, Katta G. see Kelly, Leroy M.; et al., 92b:90215 

Nanda, Sudarsan see Kar, K.; et al., 92g:26020 

Pucci, Carlo see Manselli, Paolo, 92d:52019 





869 1992 


Pulleyblank, William R. Polyhedral combinatorics. (see 92a:90001) 

Rapcsak, T. Geodesic convexity in nonlinear optimization. 92d:90087 

Sach, P. H. (with Craven, B.D.) Invexity in multifunction optimization. 92k:90083 
Sakai, Manabu see Togashi, Akira, 92h:65019 

Scholtes, Stefan * On convex bodies and some applications to optimization. 92j:49012 
Singh, Chanchal see Bector, C. R., 92h:90097 

Sun, Jie On the structure of convex piecewise quadratic functions. 92k:90061 

— see also Mehrotra, Sanjay, 92b:90166 

Togashi, Akira (with Sakai, Manabu) Convex approximation to convex data. 92h:65019 
Villar, Antonio see Herrero, Carmen, 92m:90012 

Watson, Layne T. see Kelly, Leroy M.; et al., 92b:90215 


52A55 Spherical and hyperbolic convexity 


Arnold, Randolf Uber die Schwerpunkte stark konvexer Bereiche der Sphare. (English 
summary) [On the centers of gravity of strongly convex regions of the sphere] 92k:52016 

Dekster, Boris V. (with Wilker, John B.) Large spherical simplexes. 92j:52016 

Wilker, John B. see Dekster, Boris V., 92j:52016 


Items with secondary classifications in 52A55 

Balkan, V. V. Nonnormal regular partitionings of a Lobachevskii space. (Russian) 
92¢:52017 

Beltagy, M. A comparison study of convex and starshaped subsets. (Arabic summary) 
92k:52010 

Dekster, Boris V. (with Wilker, John B.) Simplexes in spaces of constant curvature. 
92b:51029 

— In- and circumcenters of manifolds of constant width. 92e:52009 

Kellerhals, Ruth On Schiafli’s reduction formula. 92e:52017 

Lutié, Z. (with Molnar, Emil) Fundamental domains for planar discontinuous groups and 
uniform tilings. 92m:52046 

Makarov, P. V. Almost regular partitionings of the four-dimensional Lobachevskii space. 
(Russian) 92b:52022 

— Archimedean partitionings of a three-dimensional Lobachevskii space. (Russian) 
92¢:52018 

— Kelvin partitioning of a three-dimensional Lobachevskii space by regular polyhedra. 
(Russian) 92b:51030 

Makarov, V.S. On the fundamental polyhedron of a discrete group of motions of the 
Lobachevskii space. (Russian) 92b:52023 

— On a nonregular partition of an n-dimensional Lobachevskii space by congruent 
polytopes. (Russian) 92d:52046 

Molndr, Emil see Luti¢, Z., 92m:52046 

Papadimitrakis, M. On convexity of level curves of harmonic functions in the hyperbolic 
plane. 92£:31002 

Teufel, Eberhard A generalization of the isoperimetric inequality in the hyperbolic plane. 
92j:52015 

Vinberg, E. B. The volume of polyhedra on a sphere and in Lobachevsky space. 92j:51027 

Wilker, John B. see Dekster, Boris V., 92b:51029 


52A99 None of the above, but in this section 


Bisztriczky, Tibor Affinely embeddable separated families. 92a:52013 

Bracho, Javier (with Calvillo Vives, Gilberto) Homotopy classification of projective convex 
sets. 92b:52019 

Calvillo Vives, Gilberto see Bracho, Javier, 92b:52019 

Liu, Xue Cheng A study on the relations among four classes of convex fuzzy sets in 
Euclidean spaces. (Chinese. English summary) 92d:52022 


Items with secondary classifications in 52A99 

Bandelt, Hans-Jiirgen (with van de Vel, M.) Superextensions and the depth of median 
graphs. 92m:05190 

Cieslak, Waldemar (with Miernowski, Andrzej) Ovaloids of constant width and constant 
brightness. 92m:52003 

Dekster, Boris V. Bodies of constant width in Riemannian manifolds and spaces of constant 
curvature. 92e:53091 

Diamond, Phil (with Kloeden, Peter) Corrigendum: “Metric spaces of fuzzy sets” [Fuzzy 
Sets and Systems 35 (1990), no. 2, 241-249; MR 91f:54004]. 

Ger, Joanna A closed epigraph theorem. 92m:54052 

Gruber, Peter Manfred Convex billiards. 92a:58072 

Huo, Yi Qiu Fuzzy convexity-preserving mappings. (Chinese. English summary) 

Kloeden, Peter see Diamond, Phil 

Miernowski, Andrzej see Cieslak, Waldemar, 92m:52003 

van de Vel, M. see Bandelt, Hans-Jiirgen, 92m:05190 

Zhou, Fei Yue The recession cones and Carathéodory’s theorem of convex fuzzy sets. 
92h:04010 

— The relative interiors of convex fuzzy sets under induced fuzzy topology. 92k:54011 


52Bxx Polytopes and polyhedra 


52B05 Combinatorial properties (number of faces, shortest paths, 
etc.) [see also 05Cxx] 


Blind, G. (with Blind, R.) Convex polytopes without triangular faces. 92a:52014 

Blind, R. see Blind, G., 92a:52014 

Gainanov, D. N. (with Gusak, I. Ya.) Diagonals of convex polytopes. (Russian) 92m:52016 

Grétschel, Martin (with Wakabayashi, Y.) Composition of facets of the clique partitioning 
polytope. 92b:52020 

Gusak, I. Ya. see Gainanov, D. N., 92m:52016 

Kalai, Gil On low-dimensional faces that high-dimensional polytopes must have. 92d:52023 


52B Polytopes and polyhedra 


52B11 


— The diameter of graphs of convex polytopes and f-vector theory. 92h:52010 

Kravtsov, M. K. Transportation polyhedra with a minimum number of k-faces. (Russian. 
English summary) 92b:52021 

Lee, Carl W. Some recent results on convex polytopes. 92d:52024 

Wakabayashi, Y. see Grotschel, Martin, 92b:52020 


Items with secondary classifications in 52B05 


Delest, M. (with Fedou, J. M.) Introduction aux polyédres en combinatoire d’aprés E. 
Ehrhart et R. Stanley. (English summary) [Introduction to polyhedra in combinatorial 
analysis, following E. Ehrhart and R. Stanley] 92i:52013 

Fedou, J.M. see Delest, M., 92i:52013 

Gerards, A. M. H. On cutting planes and matrices. 92h:52013 

Klein, D. J. see Liu, X.; et al., 92i:92017 

Liu, X. (with Klein, D. J.; Schmalz, T. G.; Seitz, W. A.) Generation of carbon-cage 
polyhedra. 92i:92017 

Oda, Tadao Simple convex polytopes and the strong Lefschetz theorem. 92j:52019 

Schmalz, T. G. see Liu, X.; et al., 92i:92017 

Seitz, W. A. see Liu, X.; et al., 92i:92017 

Stanley, Richard P. A zonotope associated with graphical degree sequences. 92k:52020 


52B10 Three-dimensional polytopes 


Jendrof, Stanislav (with Jucovit, Ernest; Trenkler, M.) Vertex-vectors of quadrangular 3- 
polytopes with two types of edges. 92a:52015 

Jucovit, Ernest (with Sevec, Sergej) Note on inscribability of quadrangular polyhedra with 
restricted number of edge-types. 92m:52017 

— see also Jendrof, Stanislav; et al., 92a:52015 

Penrose, Roger La cohomologie des figures impossibles. [On the cohomology of impossible 
figures] 92m:52018 

Pulatov, A. K. (with Shamuilov, B. Ya.) A problem of reconstructing an inhomogeneous 
convex polyhedron in R? from its p-projection. (Russian) 92d:52025 

— (with Samatova, N. F.) Complexity of the specification of a convex polyhedron in R?. 
(Russian) 92m:52019 

Samatova, N. F. see Pulatov, A. K., 92m:52019 

Sevec, Sergej see Jucovit, Ernest, 92m:52017 

Shamuilov, B. Ya. see Pulatov, A. K., 92d:52025 

Trenkler, M. see Jendrof, Stanislav; et al., 92a:52015 


Items with secondary classifications in 52B10 

Archdeacon, Dan S. (with Richter, R. Bruce) The construction and classification of self- 
dual spherical polyhedra. 92j:05058 

Bandieri, Paola Platonic decompositions of 3-manifolds. (Italian summary) 92k:52028 

Bezdek, Kéroly The problem of illumination of the boundary of a convex body by affine 
subspaces. 92m:52020 

Chazelle, Bernard (with Palios, Leonidas) Triangulating a nonconvex polytope. 92a:68146 

Franz, Reinhard (with Huson, Daniel) The classification of quasi-regular polyhedra of 
genus 2. 92m:52033 

Grip, Robert E. see Kitrick, Christopher J., 92a:52025 

Gruber, Peter Manfred Volume approximation of convex bodies by circumscribed 
polytopes. 92k:52009 

Huson, Daniel see Franz, Reinhard, 92m:52033 

Kitrick, Christopher J. (with Grip, Robert E.) Formes hélicoidales de tétraédres liés par 
leurs faces. [Helical forms of face bonded tetrahedra] 92a:52025 

Makarov, V.S. (with Makarova, K. P.) On a geodesic on the Seifert-Weber manifold. 
(Russian) 92h:57018 

Makarova, K.P. see Makarov, V. S., 92h:57018 

Palios, Leonidas see Chazelle, Bernard, 92a:68146 

Richter, R. Bruce see Archdeacon, Dan S., 92j:05058 

Tarnai, Tibor (with Wenninger, Magnus J.) Recouvrements de la sphére par des cercles et 
des démes géodésiques. [Spherical circle-coverings and geodesic domes] 92h:52021 

Wenninger, Magnus J. see Tarnai, Tibor, 92h:52021 

Wunderlich, Walter Shaky polyhedra of higher connection. 92a:52022 


52B11 n-dimensional polytopes 


Alspach, Brian (with Rosenfeld, Moshe) On Hamilton decompositions of prisms over 
simple 3-polytopes. 92e:52014 

Bezdek, A. (with Bezdek, Karoly; Makai, Endre, Jr.) Interior points of the convex hull of 
few points in E?. 92£:52019 

Bezdek, Kéroly The problem of illumination of the boundary of a convex body by affine 
subspaces. 92m:52020 

— see also Bezdek, A.; et al., 92f:52019 

Chen, Beifang The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial 
geometric measures for noncompact polyhedra. 92m:52021 

Engel, Peter The enumeration of four-dimensional polytopes. 92i:52010 

Euler, Reinhardt (with Mahjoub, A. R.) Balanced matrices and the set covering polytope. 
(Arabic summary) 92k:52017 

Mahjoub, A. R. see Euler, Reinhardt, 92k:52017 

Makai, Endre, Jr. (with Martini, Horst) On the number of antipodal or strictly antipodal 
pairs of points in finite subsets of R?. 92f:52020 

— see also Bezdek, A.; et al., 92f:52019 

Martini, Horst see Makai, Endre, Jr., 92f:52020 

Rosenfeld, Moshe see Alspach, Brian, 92e:52014 

Schine, W. Special systems of linear equations and graphs of convex polytopes. 92c:52015 


Items with secondary classifications in 52B11 

Deza, Michel (with Grétschel, Martin; Laurent, Monique) Complete descriptions of small 
multicut polytopes. 92f:52021 

Gainanov, D. N. (with Gusak, I. Ya.) Diagonals of convex polytopes. (Russian) 92m:52016 

Grétschel, Martin see Deza, Michel; et al., 92f:52021 





52B11 


Gusak, I. Ya. see Gainanov, D. N., 92m:52016 

Kamenev, G. K. A class of adaptive schemes for approximation of convex bodies by 
polyhedra. (Russian) 92a:52006 

Kiihnel, Wolfgang (with Schulz, Ch.) Submanifolds of the cube. 924:52039 

Lassonde, Marc (with Schenkel, Claire) KKM principle, fixed points, and Nash equilibria. 
92m:52001 

Laurent, Monique see Deza, Michel; et al., 92f:52021 

Mo, S. H. (with Norton, John P.) Fast and robust algorithm to compute exact polytope 
parameter bounds. 92a:93110 

Norton, John P. see Mo, S. H., 92a:93110 

Schenkel, Claire see Lassonde, Marc, 92m:52001 

Schulz, Ch. see Kiihnel, Wolfgang, 924:52039 

Svistunov, S. V. Ellipsoidal upper and lower approximation of a given convex polytope. 
(Russian. English summary) 92j:52011 

Wang, Cheng Shu Dissection of a convex polytope. (Chinese) 92h:52015 


52B12 Special polytopes (linear programming, centrally 
symmetric, etc.) 


Benakli, Nadia Polyédre a géométrie locale donnée. (English summary) [Polyhedra with 
given local geometry] 92k:52018 

Burton, G. R. The nonneighbourliness of centrally symmetric convex polytopes having many 
vertices. 92g:52010 

Conforti, Michele (with Rao, M. R.; Sassano, Antonio) The equipartition polytope. I. 
Formulations, dimension and basic facets. 92e:52015 

— (with Rao, M. R.; Sassano, Antonio) The equipartition polytope. II. Valid inequalities 
and facets. 92e:52016 

Deza, Michel (with Grétschel, Martin; Laurent, Monique) Complete descriptions of small 
multicut polytopes. 92f:52021 

Grotschel, Martin see Deza, Michel; et al., 92f:52021 

Hartfiel, D. J. Full patterns in truncated transportation polytopes. 92h:52011 

Johnson, Charles Royal see Loewy, Raphael; et al., 92d:52026 

Kellerhals, Ruth On Schiafli’s reduction formula. 92e:52017 

Kleinschmidt, Peter (with Schwartz, Niels; Sturmfels, Bernd) Unimodular fans, linear 
codes, and toric manifolds. 92m:52022 

Laurent, Monique see Deza, Michel; et al., 92f:52021 

Loewy, Raphael (with Shier, Douglas R.; Johnson, Charles Royal) Perron eigenvectors and 
the symmetric transportation polytope. 92d:52026 

Lovasz, Laszlé (with Schrijver, Alexander) Matrix cones, projection representations, and 
stable set polyhedra. 92c:52016 

Pitowsky, Itamar Correlation polytopes: their geometry and complexity. 92i:52011 

Rao, M. R. see Conforti, Michele; et al., 92e:52015 and 92e:52016 

Sassano, Antonio see Conforti, Michele; et al., 92e:52015 and 92e:52016 

Schrijver, Alexander see Lovasz, Laszl6, 92c:52016 

Schwartz, Niels see Kleinschmidt, Peter; et al., 92m:52022 

Shier, Douglas R. see Loewy, Raphael; et al., 92d:52026 

Stephanides, Adam On regular incidence quasi-polytopes. 92e:52018 

Sturmfels, Bernd see Kleinschmidt, Peter; et al., 92m:52022 

Taylor, Jean E. Zonohedra and generalized zonohedra. 92k:52019 


Items with secondary classifications in 52B12 


Abhyankar, Shreeram S. (with Morin, T. L.; Trafalis, T. B.) Efficient faces of polytopes: 
interior point algorithms, parameterization of algebraic varieties, and multiple objective 
optimization. 92g:90134 

Aboudi, Ronny (with Nemhauser, George L.) Some facets for an assignment problem with 
side constraints. 924:90068 

Ball, Michael O. (with Liu, Wei Guo'; Pulleyblank, William R.) Two-terminal Steiner tree 
polyhedra. 92h:90128 

Calvillo Vives, Gilberto (with Lopez Mayo, Guillermo) Polyhedral invariants and a 
representative theorem in projective geometry. 92d:90037 

— Towards a theory of optimization in projective space. 92d:90038 

Cel, Jarostaw Uber eine Eigenschaft konvexer Mengen und ihre Anwendung. (Polish 
summary) [On a property of convex sets and its application] 92f:52010 

Jucovit, Ernest (with Sevec, Sergej) Note on inscribability of quadrangular polyhedra with 
restricted number of edge-types. 92m:52017 

Lee, Carl W. Some recent results on convex polytopes. 92d:52024 

Liu, Wei Guo' see Ball, Michael O.; et al., 92h:90128 

Lépez Mayo, Guillermo see Calvillo Vives, Gilberto, 924:90037 

Morin, T. L. see Abhyankar, Shreeram S.; et al., 92g:90134 

Naddef, Denis (with Rinaldi, Giovanni) The symmetric traveling salesman polytope and its 
graphical relaxation: composition of valid inequalities. 92i:90065 

Nemhauser, George L. see Aboudi, Ronny, 92d:90068 

Peng, Yun The polyhedron of the rural postman problem. (Chinese. English summary) 
92h:90131 

Pulleyblank, William R. see Ball, Michael O.; et al., 92h:90128 

Rinaldi, Giovanni see Naddef, Denis, 92i:90065 

Schulte, Egon (with Weiss, Asia Ivi¢é) Chiral polytopes. 92:51018 

Sevec, Sergej see Jucovit, Ernest, 92m:52017 

Trafalis, T. B. see Abhyankar, Shreeram S.; et al., 92g:90134 

Weiss, Asia Ivi¢ see Schulte, Egon, 92f:51018 


52B15 Symmetry properties of polytopes 

Balkan, V. V. Nonnormal regular partitionings of a Lobachevskii space. (Russian) 
92¢:52017 

Blind, G. (with Blind, R.) The semiregular polytopes. 92a:52016 

Blind, R. see Blind, G., 92a:52016 


Coxeter, H.S.M. (with Shephard, G. C.) Some regular maps and their polyhedral 
realizations. 92h:52012 


CONVEX AND DISCRETE GEOMETRY 


1992 870 


Deza, Michel (with Grishukhin, V. P.; Laurent, Monique) The symmetries of the cut 
polytope and of some relatives. 92e:52019 

Grishukhin, V. P. see Deza, Michel; et al., 92e:52019 

Laurent, Monique see Deza, Michel; et al., 92e:52019 

Makarov, P. V. Almost regular partitionings of the four-dimensional Lobachevskii space. 
(Russian) 92b:52022 

— Archimedean partitionings of a three-dimensional Lobachevskii space. (Russian) 
92c:52018 

Makarov, V.S. On the fundamental polyhedron of a discrete group of motions of the 
Lobachevskii space. (Russian) 92b:52023 

McMullen, Peter (with Schulte, Egon) Regular polytopes from twisted Coxeter groups and 
unitary reflexion groups. 92f:52022 

— (with Schulte, Egon) Finite quotients of infinite universal polytopes. 92j:52017 

— Regular polyhedra related to projective linear groups. 92:52023 

Schulte, Egon see McMullen, Peter, 92f:52022 and 92j:52017 

Shephard, G. C. see Coxeter, H. S. M., 92h:52012 


Items with secondary classifications in 52B15 


Bohm, Johannes (with Quaisser, Erhard) * Schénheit und Harmonie geometrischer 
Formen. (German) [Beauty and harmony of geometric forms] 92k:52003 

Coxeter, H.S.M. * Regular complex polytopes. 92h:51035 

(Fischer, Gerd) see Bohm, Johannes, 92k:52003 

Foster, Lorraine L. Convex polyhedral models for the finite three-dimensional isometry 
groups. 92j:51020 

Kawashima, Toshio Polytopes which are orthogonal projections of regular simplexes. 
924:52031 

McMullen, Peter Nondiscrete regular honeycombs. 92c:52033 

Quaisser, Erhard see Bohm, Johannes, 92k:52003 


52B20 Lattice polytopes (including relations with commutative 
algebra and algebraic geometry) [see also 06A08, 13F20, 
13Hxx] 


Davis, Michael Walter (with Januszkiewicz, Tadeusz) Convex polytopes, Coxeter orbifolds 
and torus actions. 92i:52012 

Delest, M. (with Fedou, J. M.) Introduction aux polyédres en combinatoire d’aprés E. 
Ehrhart et R. Stanley. (English summary) [Introduction to polyhedra in combinatorial 
analysis, following E. Ehrhart and R. Stanley] 92i:52013 

Fedou, J. M. see Delest, M., 92i:52013 

Gerards, A.M. H. On cutting planes and matrices. 92h:52013 

Hibi, Takayuki Ehrhart polynomials of convex polytopes, h-vectors of simplicial complexes, 
and nonsingular projective toric varieties. 92j:52018 

Januszkiewicz, Tadeusz see Davis, Michael Walter, 92i:52012 

Lawrence, Jim Finite unions of closed subgroups of the n-dimensional torus. 92f:52024 

Llibre, Jaume (with Mumbri, Pere) On sizes and shapes of lattice figures. 92b:52024 

Miyazaki, Mitsuhiro On 2-Buchsbaum complexes. 92a:52017 

— Level complexes and barycentric subdivisions. 92e:52020 

Mumbri, Pere see Llibre, Jaume, 92b:52024 

Oda, Tadao Simple convex polytopes and the strong Lefschetz theorem. 92j:52019 

Stanley, Richard P. A zonotope associated with graphical degree sequences. 92k:52020 


Items with secondary classifications in 52B20 


Batyrev, V. V. On the classification of smooth projective toric varieties. 92j:14065 

Billera, Louis J. (with Rose, Lauren L.) A dimension series for multivariate splines. 
92g:41010 

Brion, Michel (with Procesi, Claudio) Action d’un tore dans une variété projective. [Action 
of a torus in a projective variety] 92m:14061 

Ewald, Ginter (with Wessels, Uwe) On the ampleness of invertible sheaves in complete 
projective toric varieties. 92b:14028 

Hadas, Ofer On the vertices of Newton polytopes associated with an automorphism of the 
ring of polynomials. 92i:13005 

Hibi, Takayuki Quotient algebras of Stanley-Reisner rings and local cohomology. 
92e:13013 

Melnikov, D. A. Smoothing of singularities of Stanley-Reisner type. (Russian) 92k:14004 

Noma, Atsushi Gorenstein toric singularities and convex polytopes. 92k:14054 

Oda, Tadao Geometry of toric varieties. 92m:14068 

— (with Park, Hye Sook) Linear Gale transforms and Gel'fand-Kapranov-Zelevinskij 
decompositions. 92d:14042 

Park, Hye Sook see Oda, Tadao, 92d:14042 

Patras, F. Construction géométrique des idempotents eulériens. Filtration des groupes de 
polytopes et des groupes d’homologie de Hochschild. (English summary) [Geometric 
construction of Euler idempotents. Filtration of the groups of polytopes and of the 
Hochschild cohomology groups] 92i:19005 

Procesi, Claudio see Brion, Michel, 92m:14061 

Reiner, Victor Quotients of Coxeter complexes and P-partitions. 92i:05223 

Rose, Lauren L. see Billera, Louis J., 92g:41010 

Schafer, Uwe (with Schenzel, Peter) Dualizing complexes of affine semigroup rings. 
92a:13012 

Schenzel, Peter see Schafer, Uwe, 92a:13012 

Stanley, Richard P. Log-concave and unimodal sequences in algebra, combinatorics, and 
geometry. 92¢:05124 

— On the Hilbert function of a graded Cohen-Macaulay domain. 92f:13017 

Sturmfels, Bernd Grébner bases of toric varieties. 92j:14067 

Teissier, Bernard Mon6émes, volumes et multiplicités. [Monomials, volumes and multiplici- 
ties] 92e:14003 

Wessels, Uwe see Ewald, Ginter, 92b:14028 

Wills, Jorg M. Kugellagerungen und Konvexgeometrie. [Sphere packings and convex 
geometry] 92¢:52027 





871 1992 


52B30 Arrangements of hyperplanes 


Agarwal, Pankaj Kumar (with Aronov, Boris) Counting facets and incidences. 92k:52021 

Aronov, Boris (with Sharir, Micha) On the zone of a surface in a hyperplane arrangement. 
92j:52020 

— see also Agarwal, Pankaj Kumar, 92k:52021 

Arvola, William A. Complexified real arrangements of hyperplanes. 92d:52027 

Billera, Louis J. (with Filliman, Paul; Sturmfels, Bernd) Constructions and complexity of 
secondary polytopes. 92d:52028 

Bjorner, Anders (with Ziegler, Ginter M.) Combinatorial stratification of complex 
arrangements. 92k:52022 

Filliman, Paul see Billera, Louis J.; et al., 92d:52028 

Fleischmann, Peter (with Janiszczak, Ingo) The lattices and Mobius functions of stable 
closed subrootsystems and hyperplane complements for classical Weyl groups. 92f:52025 

Fukuda, Komei (with Saito, Shigemasa; Tamura, Akihisa) Combinatorial face enumeration 
in arrangements and oriented matroids. 92d:52029 

— (with Saito, Shigemasa; Tamura, Akihisa; Tokuyama, Takeshi) Bounding the number of 
k-faces in arrangements of hyperplanes. 92e:52021 

Jambu, Michel Yves Arrangements d’hyperplans. II. Topologie et géométrie. 2. (English 
summary) [Arrangements of hyperplanes. II. Topology and geometry. 2] 92a:52018 

Janiszczak, Ingo see Fleischmann, Peter, 92f:52025 

Martinov, Nikola I. On Conjecture 2.4 of Griinbaum. (Bulgarian. English summary) 
924:52030 

— Dependences between some basic parameters of an arrangement of lines. (Russian) 
92a:52019 

Mulmuley, Ketan On levels in arrangements and Voronoi diagrams. 92b:52025 

Orlik, Peter Milnor fiber complexes for Shephard groups. 92a:52020 

— Arrangements in topology. 92k:52023 

— Complements of subspace arrangements. 92h:52014 

Prati, M.C. see Salvetti, Mario, 92m:52023 

Saito, Shigemasa see Fukuda, Komei; et al., 92d:52029 and 92e:52021 

Salvetti, Mario (with Prati, M. C.) On local systems over complements to arrangements of 
hyperplanes associated to Grassmann strata. 92m:52023 

Sharir, Miche see Aronov, Boris, 92j:52020 

Sturmfels, Bernd see Billera, Louis J.; et al., 92d:52028 

Tamura, Akihisa see Fukuda, Komei; et al., 92d:52029 and 92e:52021 

Terao, Hiroaki Factorizations of the Orlik-Solomon algebras. 92m:52024 

Tokuyama, Takeshi see Fukuda, Komei; et al., 92e:52021 

Yuzvinsky, Sergey A free resolution of the module of derivations for generic arrangements. 
92b:52026 

Ziegler, Ginter M. see Bjérner, Anders, 92k:52022 


Items with secondary classifications in 52B30 

Agarwal, Pankaj Kumar * Intersection and decomposition algorithms for planar arrange- 
ments. 92g:52011 

Beilinson, A. A. (with Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N.) Aomoto 
dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the 
plane. 92h:19007 

Bern, Marshall (with Eppstein, David; Plassmann, Paul; Yao, Foong Frances) Horizon 
theorems for lines and polygons. 92j:52023 

tom Dieck, Tammo (with Petrie, Ted) Arrangements of lines with tree resolutions. 
92¢:14034 

Eppstein, David see Bern, Marshall; et al., 92j:52023 

Goncharov, A. B. see Beilinson, A. A.; et al., 92h:19007 

Jozsa, Richard (with Rice, John William) On the cohomology ring of hyperplane comple- 
ments. 92¢:32044 

Kapranov, M. M. (with Voevodskii, V. A.) Combinatorial-geometric aspects of polycate- 
gory theory: pasting schemes and higher Bruhat orders (list of results). (French summary) 
92j:18004 

Lehrer, G.I. The /-adic cohomology of hyperplane complements. 92j:14022 

Matousek, Jiti Lower bounds on the length of monotone paths in arrangements. 92h:52018 

— Cutting hyperplane arrangements. 92i:52015 

Petrie, Ted see tom Dieck, Tammo, 92c:14034 

Plassmann, Paul see Bern, Marshall; et al., 92j:52023 

Rice, John William see Jozsa, Richard, 92c:32044 

Schechtman, V. V. see Beilinson, A. A.; et al., 92h:19007 

Sharir, Micha (with Skiena, Steven S.) Tight bounds on a problem of lines and intersec- 
tions. 92¢:52020 

Skiena, Steven S. see Sharir, Micha, 92c:52020 

Varchenko, A. N. see Beilinson, A. A.; et al., 92h:19007 

Voevodskii, V. A. see Kapranov, M. M., 92j:18004 

Yao, Foong Frances see Bern, Marshall; et al., 92j:52023 


52B35 Gale and other diagrams 


Kawashima, Toshio Polytopes which are orthogonal projections of regular simplexes. 
924:52031 
Lee, Carl W. Regular triangulations of convex polytopes. 92j:52021 


Items with secondary classifications in 52B35 

Batyrev, V. V. On the classification of smooth projective toric varieties. 92j:14065 
Lee, Carl W. Some recent results on convex polytopes. 924:52024 

Oda, Tadao Geometry of toric varieties. 92m:14068 

Taylor, Jean E. Zonohedra and generalized zonohedra. 92k:52019 


52B40 Matroids (realizations in the context of convex 
polytopes, convexity in combinatorial structures, etc.) 
[see also 05B35] 


Bjorner, Anders (with Ziegler, Ginter M.) Broken circuit complexes: factorizations and 


52B Polytopes and polyhedra 


52B55 


generalizations. 92b:52027 

Bokowski, Jiirgen On the geometric flat embedding of abstract complexes with symmetries. 
92£:52026 

— (with Guedes de Oliveira, Anténio; Richter-Gebert, Jirgen) Algebraic varieties 
characterizing matroids and oriented matroids. 92d:52032 

Gerards, A.M. H. * Graphs and polyhedra. Binary spaces and cutting planes. 92f:52027 

Guedes de Oliveira, Anténio see Bokowski, Jirgen; et al., 92d:52032 

Richter-Gebert, Jiirgen see Bokowski, Jirgen; et al., 92d:52032 

Ziegler, Ginter M. see Bjérner, Anders, 92b:52027 


Items with secondary classifications in 52B40 

Billera, Louis J. (with Filliman, Paul; Sturmfels, Bernd) Constructions and complexity of 
secondary polytopes. 924:52028 

Cordovil, Raul (with Duchet, Pierre) On sign-invariance graphs of uniform oriented 
matroids. 92a:05034 

Duchet, Pierre see Cordovil, Raul, 92a:05034 

Filliman, Paul see Billera, Louis J.; et al., 92d:52028 

Fukuda, Komei (with Saito, Shigemasa; Tamura, Akihisa) Combinatorial face enumeration 
in arrangements and oriented matroids. 92d:52029 

— (with Saito, Shigemasa; Tamura, Akihisa; Tokuyama, Takeshi) Bounding the number of 
k-faces in arrangements of hyperplanes. 92e:52021 

Oda, Tadao (with Park, Hye Sook) Linear Gale transforms and Gel’fand-Kapranov- 
Zelevinskij decompositions. 92d4:14042 

Park, Hye Sook see Oda, Tadao, 92d:14042 

Saito, Shigemasa see Fukuda, Komei; et al., 92d:52029 and 92e:52021 

Sturmfels, Bernd see Billera, Louis J.; et al., 92d:52028 

Tamura, Akihisa see Fukuda, Komei; et al., 92d:52029 and 92e:52021 

Terao, Hiroaki Factorizations of the Orlik-Solomon algebras. 92m:52024 

Tokuyama, Takeshi see Fukuda, Komei; et al., 92e:52021 


52B45 Dissections and valuations (Hilbert’s third problem, etc.) 


Debrunner, Hans E. Dissecting orthoschemes into orthoschemes. 92b:52028 
Lawrence, Jim Rational-function-valued valuations on polyhedra. 92m:52025 
Wang, Cheng Shu Dissection of a convex polytope. (Chinese) 92h:52015 


Items with secondary classifications in 52B45 
Komjath, Péter Tetrahedron free decomposition of R>. 92i:52008 


52B55 Computational aspects related to convexity {For 
computational geometry and algorithms, see 68Q20, 
68Q25, 68U05; for numerical algorithms, see 65Yxx.} 


Agarwal, Pankaj Kumar * Intersection and decomposition algorithms for planar arrange- 
ments. 92g:52011 

— (with Aggarwal, Alok; Aronov, Boris; Kosaraju, S. Rao; Schieber, Baruch; Suri, Subhash) 
Computing external farthest neighbors for a simple polygon. 92j:52022 

Aggarwal, Alok see Agarwal, Pankaj Kumar; et al., 92j:52022 

Ahlfeld, Uwe (with Hecker, Hans-Dietrich) Guard graphs in polygons. 92g:52012 

Aronov, Boris (with Sharir, Micha) Triangles in space or building (and analyzing) castles in 
the air. 92a:52021 

— see also Agarwal, Pankaj Kumar; et al., 92j:52022 

Bern, Marshall (with Eppstein, David; Plassmann, Paul; Yao, Foong Frances) Horizon 
theorems for lines and polygons. 92j:52023 

Bhattacharya, Binay K. (with Toussaint, Godfried T.) Computing shortest transversals. 
(German summary) 92i:52014 

Boissonnat, Jean-Daniel (with Devillers, Olivier, Preparata, Franco P.) Computing the 
union of 3-colored triangles. 92k:52024 

Broman, V. (with Shensa, M. J.) A compact algorithm for the intersection and approxima- 
tion of N-dimensional polytopes. 92b:52029 

Bruckstein, Alfred M. see Shaked, D.; et al., 92g:52014 

Capoyleas, Vasilis (with Rote, Giinter; Woeginger, Gerhard J.) Geometric clusterings. 
92d:52033 

Chandru, Vijaya (with Venkataraman, R.) Circular hulls and orbiforms of simple polygons. 
(see 92b:68016) 

Chernykh, O. L. Construction of the convex hull of a finite set of points on the basis of 
triangulation. (Russian) 92m:52026 

Czyzowicz, Jurek (with Stojmenovié, Ivan; Urrutia, Jorge) Immobilizing a polytope. 
92j:52025 

— (with Rival, Ivan; Urrutia, Jorge) Galleries and light matchings: fat cooperative guards. 
92j:52024 

De Floriani, Leila (with Falcidieno, Bianca; Nagy, George; Pienovi, Caterina) On sorting 
triangles in a Delaunay tessellation. 92m:52027 

Devillers, Olivier see Boissonnat, Jean-Daniel; et al., 92k:52024 

Dwyer, Rex A. Higher-dimensional Voronoi diagrams in linear expected time. 92b:52030 

Edelsbrunner, Herbert An acyclicity theorem for cell complexes in d dimension. 924:52034 

— (with Sharir, Micha) A hyperplane incidence problem with applications to counting 
distances. 92k:52025 

— Lines in space—a collection of results. 92m:52028 

Eppstein, David (with Overmars, Mark H.; Rote, Ginter, Woeginger, Gerhard J.) Finding 
minimum area k-gons. 92k:52026 

— see also Bern, Marshall; et al., 92j:52023 

Falcidieno, Bianca see De Floriani, Leila; et al., 92m:52027 

Fischer, Thomas R. M. Cell complexes and lower bounds in computational geometry. 
92b:52031 

Frances Roman, Angel Ramén Sum of sets in E”: an algorithm for E*. (Spanish. English 
summary) (see 92b:00044) 

Gritzmann, Peter (with Habsieger, Laurent; Klee, Victor) Good and bad radii of convex 
polygons. 924:52035 





52B55 


Habsieger, Laurent see Gritzmann, Peter; et al., 92d:52035 

Halperin, Dan (with Sharir, Micha) On disjoint concave chains in arrangements of 
(pseudo) lines. 92m:52029 

Hecker, Hans-Dietrich see Ahlfeld, Uwe, 92g:52012 

Herman, Gabor T. Discrete multidimensional Jordan surfaces. 92g:52013 

Jones, Mark Christopher Wynne A nonuniqueness theorem in the theory of Voronoi sets. 
92h:52016 

Jiinger, Michael (with Reinelt, Gerhard; Zepf, D.) Computing correct Delaunay triangula- 
tions. (German summary) 92m:52030 

Kalai, Gil (with Kleitman, Daniel J.) A quasi-polynomial bound for the diameter of graphs 
of polyhedra. 92h:52017 

Klee, Victor see Gritzmann, Peter; et al., 92d:52035 

Kleitman, Daniel J. see Kalai, Gil, 92h:52017 

Koplowitz, J. see Shaked, D.; et al., 92g:52014 

Kosaraju, S. Rao see Agarwal, Pankaj Kumar; et al., 92j:52022 

Matousek, Jiti Computing the center of planar point sets. 92j:52026 

— Lower bounds on the length of monotone paths in arrangements. 92h:52018 

— Cutting hyperplane arrangements. 92i:52015 

Mount, David M. (with Silverman, Ruth) Combinatorial and computational aspects of 
Minkowski decompositions. 92i:52016 

Nagy, George see De Floriani, Leila; et al., 92m:52027 

Overmars, Mark H. see Eppstein, David; et al., 92k:52026 

Pach, Janos (with Sharir, Micha) On vertical visibility in arrangements of segments and the 
queue size in the Bentley-Ottmann line sweeping algorithm. 92c:52019 

Palacios-Velez, Oscar see Traversoni Dominguez, Leonardo, (92c:65006) 

Paugam, Annette Résolution du probléme de l’ellipse et du cercle par l’algorithme de 
Hérmander. (English summary) [Solution of the ellipse and circle problem using 
H6rmander’s algorithm] 924:52036 

Pienovi, Caterina see De Floriani, Leila; et al., 92m:52027 

Plassmann, Paul see Bern, Marshall; et al., 92j:52023 

Preparata, Franco P. see Boissonnat, Jean-Daniel; et al., 92k:52024 

Rawlins, Gregory J. E. (with Wood, Derick) Restricted-oriented convex sets. 92d:52037 

— see also Wood, Derick; et al., 92g:52015 

Reinelt, Gerhard see Jiinger, Michael; et al., 92m:52030 

Rival, Ivan see Czyzowicz, Jurek; et al., 92j:52024 

Rote, Ginter see Capoyleas, Vasilis; et al., 92d:52033 and Eppstein, David; et al., 92k:52026 

Schieber, Baruch see Agarwal, Pankaj Kumar; et al., 92j:52022 

Schuierer, Sven see Wood, Derick; et al., 92g:52015 

Shaked, D. (with Koplowitz, J.; Bruckstein, Alfred M.) Star-shapedness of digitized planar 
shapes. 92g:52014 

Sharir, Micha On k-sets in arrangements of curves and surfaces. 92k:52027 

— (with Skiena, Steven S.) Tight bounds on a problem of lines and intersections. 92c:52020 

— see also Aronov, Boris, 92a:52021; Pach, Janos, 92c:52019; Edelsbrunner, Herbert, 
92k:52025 and Halperin, Dan, 92m:52029 

Shensa, M. J. see Broman, V., 92b:52029 

Silverman, Ruth see Mount, David M., 92i:52016 

Skiena, Steven S. see Sharir, Micha, 92c:52020 

Stojmenovié, Ivan see Czyzowicz, Jurek; et al., 92j:52025 

Suri, Subhash see Agarwal, Pankaj Kumar; et al., 92j:52022 

Toussaint, Godfried T. Anthropomorphic polygons. 92e:52022 

— see also Bhattacharya, Binay K., 92i:52014 

Traversoni Dominguez, Leonardo (with Palacios-Velez, Oscar) A building method for 
hierarchical covering spheres of a given set of points. (see 92c:65006) 

Urrutia, Jorge see Czyzowicz, Jurek; et al., 92j:52024 and 92j:52025 

Venkataraman, R. see Chandru, Vijaya, (92b:68016) 

Vershik, A.M. On topological questions of real complexity theory and combinatorial 
optimization [in Topological and geometric methods of analysis (Russian), 58-74, 
Voronezh. Gos. Univ., Voronezh, 1989; 91j:52001]. (see 92b:58001) 

Whiteley, Walter Weavings, sections and projections of spherical polyhedra. 92m:52031 

Woeginger, Gerhard J. see Capoyleas, Vasilis; et al., 92d:52033 and Eppstein, David; et al., 
92k:52026 

Wood, Derick (with Rawlins, Gregory J. E.; Schuierer, Sven) Convexity, visibility, and 
orthogonal polygons. 92g:52015 

— see also Rawlins, Gregory J. E., 92d:52037 

Xu, Zong Ben (with Zhang, Jiang She) An algorithm for constructing the N-dimensional 
convex hull of a set of points. (Chinese. English summary) 92m:52032 

Yao, Foong Frances see Bern, Marshall; et al., 92j:52023 

Zepf, D. see Jinger, Michael; et al., 92m:52030 

Zhang, Jiang She see Xu, Zong Ben; et al., 92m:52032 


Items with secondary classifications in 52B55 

Agarwal, Pankaj Kumar Partitioning arrangements of lines. I. An efficient deterministic 
algorithm. 92g:68144 

— Partitioning arrangements of lines. II. Applications. 92g:68145 

— (with Sharir, Micha) Red-blue intersection detection algorithms, with applications to 
motion planning and collision detection. 92b:68033 

— (with Sharir, Micha) Off-line dynamic maintenance of the width of a planar point set. 
92i:68171 

Aggarwal, Alok (with Klawe, Maria M.) Applications of generalized matrix searching to 
geometric algorithms. 92¢:68187 

— (with Imai, Hiroshi; Katoh, Naoki; Suri, Subhash) Finding k points with minimum 
diameter and related problems. 92i:68050 

Ahlfeld, Uwe (with Hecker, Hans-Dietrich) Eine Hierarchie einfacher Polygone. [A 
hierarchy of simple polygons] 92f:52006 

Al-Thukair, Fawzi A. (with Pelc, Andrzej; Rival, Ivan; Urrutia, Jorge) Motion planning, 
two-directional point representations, and ordered sets. 92f:06001 


Aronov, Boris (with Sharir, Micha) On the zone of a surface in a hyperplane arrangement. 
92j:52020 


Atallah, Mikhail J. (with Chen, Danny Z.; Wagener, Hubert) An optimal parallel algorithm 
for the visibility of a simple polygon from a point. 92e:68188 


CONVEX AND DISCRETE GEOMETRY 


1992 872 


Aurenhammer, Franz Using Gale transforms in computational geometry. 92m:68117 

Avis, David (with Imai, Hiroshi) Locating a robot with angle measurements. 92h:68084 

Bajaj, Chanderjit L. (with Dey, Tamal Krishna) Convex decomposition of polyhedra and 
robustness. 92m:65180 

de Berg, Mark T. On rectilinear link distance. 92i:68173 

Bodlaender, Hans L. (with Gritzmann, Peter; Klee, Victor; van Leeuwen, Jan) Computa- 
tional complexity of norm-maximization. 92a:65369 

Bokowski, Jiirgen On the geometric flat embedding of abstract complexes with symmetries. 
92£:52026 

Borgwardt, Karl-Heinz (with Gaffke, Norbert; Jiinger, Michael; Reinelt, Gerhard) Comput- 
ing the convex hull in the Euclidean plane in linear expected time. 92i:68174 

Budinich, Marco (with Milotti, Edoardo) On neural networks and convex hulls. 92f:68143 

Chazelle, Bernard (with Edelsbrunner, Herbert; Guibas, Leonidas J.; et al.) Counting and 
cutting cycles of lines and rods in space. 92j:68117 

— (with Palios, Leonidas) Triangulating a nonconvex polytope. 92a:68146 

Chen, Danny Z. see Atallah, Mikhail J.; et al., 92e:68188 

(Cohen, Yosef) see Mees, Alistair I., (92f:92004) 

Dey, Tamal Krishna see Bajaj, Chanderjit L., 92m:65180 

(Diamond, Phil) see Mees, Alistair I., (92f:92004) 

Dong, Lingxian see Goldak, John A.; et al., 92j:68120 

Dorst, Leo (with Smeulders, Arnold W. M.) Discrete straight line segments: parameters, 
primitives, and properties. 92¢:68168 

Dwyer, Rex A. Convex hulls of samples from spherically symmetric distributions. 
92i:60020 

Edelsbrunner, Herbert (with Shi, Weiping) An O(n log” h) time algorithm for the three- 
dimensional convex hull problem. 92f:68177 

— see also Chazelle, Bernard; et al., 92j:68117 

Egyed, Peter (with Wenger, Rephael) Ordered stabbing of pairwise disjoint convex sets in 
linear time. 92f:68178 

Elbaz, Mounir (with Spehner, Jean-Claude) Construction of Voronoi diagrams in the plane 
by using maps. 92a:68148 

Engel, Peter The enumeration of four-dimensional polytopes. 92i:52010 

Fa, Jyh Jong (with Lee, R. C. T.) Voronoi diagrams of moving points in the plane. 
92a:68149 

Fukuda, Komei (with Saito, Shigemasa; Tamura, Akihisa) Combinatorial face enumeration 
in arrangements and oriented matroids. 92d:52029 

Gaffke, Norbert see Borgwardt, Karl-Heinz; et al., 92i:68174 

Ghosh, Subir Kumar Computing the visibility polygon from a convex set and related 
problems. 92g:68139 

Goldak, John A. (with Yu, Xinhua; Knight, Alan; Dong, Lingxian) Constructing discrete 
medial axis of 3-D objects. 92j:68120 

Graham, Ronald L. (with Yao, Foong Frances) A whirlwind tour of computational 
geometry. 

Gritzmann, Peter see Bodlaender, Hans L.; et al., 92a:65369 

Guibas, Leonidas J. (with Hershberger, John; Snoeyink, Jack) Compact interval trees: a 
data structure for convex hulls. 92¢:68194 

— see also Chazelle, Bernard; et al., 92j:68117 

Gimnther, Oliver (with Wong, Eugene) A dual approach to detect polyhedral intersections in 
arbitrary dimensions. 92¢:68195 

Hecker, Hans-Dietrich see Ahlfeld, Uwe, 92f:52006 

Hershberger, John (with Suri, Subhash) Finding tailored partitions. 92g:68141 

— see also Guibas, Leonidas J.; et al., 92e:68194 

(Hoffmann, Christoph M.) see Solid modeling, 92i:68008 

Imai, Hiroshi see Avis, David, 92h:68084 and Aggarwal, Alok; et al., 92i:68050 

Jiinger, Michael see Borgwardt, Karl-Heinz; et al., 92i:68174 

Kaiser, M. J. (with Morin, T. L.; Trafalis, T. B.) Centers and invariant points of convex 
bodies. 92j:52004 

Katoh, Naoki see Aggarwal, Alok; et al., 92i1:68050 

Klawe, Maria M. see Aggarwal, Alok, 92¢:68187 

Klee, Victor see Bodlaender, Hans L.; et al., 92a:65369 

Klein, Rolf * Concrete and abstract Voronoi diagrams. 92f:68180 

Knight, Alan see Goldak, John A.; et al., 92j:68120 

Lee, R.C.T. see Fu, Jyh Jong, 92a:68149 

van Leeuwen, Jan see Bodlaender, Hans L.; et al., 92a:65369 

Liu, Robin (with Ntafos, Simeon) On partitioning rectilinear polygons into star-shaped 
polygons. 92i:68180 

Matousek, Jiti Construction of e-nets. 92g:68143 

— Approximate levels in line arrangements. 92b:68034 

Mees, Alistair I. Modelling complex systems. (see 92f:92004) 

Mehihorn, Kurt (with Meiser, Stefan; O’Dunlaing, C.) On the construction of abstract 
Voronoi diagrams. 92d:68112 

Mei, Jia Liu An existence theorem for efficient extremal points. (Chinese. English 
summary) 92k:90079 

Meiser, Stefan see Mehlhorn, Kurt; et al., 92d:68112 

Milotti, Edoardo see Budinich, Marco, 92f:68143 

Morin, T. L. see Kaiser, M. J.; et al., 92j:52004 

Mount, David M. The densest double-lattice packing of a convex polygon. 92m:52044 

Mulmuley, Ketan On levels in arrangements and Voronoi diagrams. 92b:52025 

Musin, O. R. Some problems in computational geometry and topology. (Russian) 
92g:65010 

Ntafos, Simeon see Liu, Robin, 92i:68180 

O’Dinlaing, C. see Mehlhorn, Kurt; et al., 924:68112 

Onn, Shmuel On the geometry and computational complexity of Radon partitions in the 
integer lattice. 92d:52041 

O’Rourke, Joseph Computational geometry column 13. 92j:68125 

Overmars, Mark H. (with Yap, Chee-Keng) New upper bounds in Klee’s measure problem. 
92m:68120 

Palios, Leonidas see Chazelle, Bernard, 92a:68146 

Paterson, Michael S. (with Yao, Foong Frances) Efficient binary space partitions for 
hidden-surface removal and solid modeling. 92a:68153 





873 1992 


Pelc, Andrzej see Al-Thukair, Fawzi A.; et al., 92f:06001 

Pellegrini, Marco Ray-shooting and isotopy classes of lines in 3-dimensional space. 
92k:68118 

Pitowsky, Itamar Correlation polytopes: their geometry and complexity. 92i:52011 

Pulatov, A. K. (with Samatova, N. F.) Complexity of the specification of a convex 
polyhedron in R?. (Russian) 92m:52019 

Rappoport, Ari The extended convex differences tree (ECDT) representation for n- 
dimensional polyhedra. 92j:68126 

Reinelt, Gerhard see Borgwardt, Karl-Heinz; et al., 92i:68174 

Rival, Ivan Order, invariance and visibility. (see 92m:00061) 

— see also Al-Thukair, Fawzi A.; et al., 92f:06001 

(Rossignac, J.) see Solid modeling, 92i:68008 

Saito, Shigemasa see Fukuda, Komei; et al., 92d:52029 

Samatova, N. F. see Pulatov, A. K., 92m:52019 

Schapira, Pierre Operations on constructible functions. 92h:32012 

Schieber, Baruch (with Vishkin, Uzi) Finding all nearest neighbors for convex polygons in 
parallel: a new lower bound technique and a matching algorithm. 92c:68195 

Sevast'yanov, S. V. On the compact summation of vectors. (Russian) 92k:52012 

Sharir, Micha see Agarwal, Pankaj Kumar, 92b:68033; 92i:68171 and Aronov, Boris, 
92j:52020 

Shi, Weiping see Edelsbrunner, Herbert, 92f:68177 

Skiena, Steven S. Probing convex polygons with half-planes. 92c:68196 

Smeulders, Arnold W. M. see Dorst, Leo, 92¢:68168 

Snoeyink, Jack see Guibas, Leonidas J.; et al., 92e:68194 

Spehner, Jean-Claude see Elbaz, Mounir, 92a:68148 

Suri, Subhash see Hershberger, John, 92g:68141 and Aggarwal, Alok; et al., 92i1:68050 

Tamura, Akihisa see Fukuda, Komei; et al., 92d:52029 

Trafalis, T. B. see Kaiser, M. J.; et al., 92j:52004 

(Turner, Joshua) see Solid modeling, 92i:68008 

Urrutia, Jorge see Al-Thukair, Fawzi A.; et al., 92f:06001 

Vainstein, A.D. Construction of the minimal enclosing parallelogram. (Russian) 92e:68201 

Vishkin, Uzi see Schieber, Baruch, 92c:68195 

Wagener, Hubert see Atallah, Mikhail J.; et al., 92¢:68188 

Wenger, Rephael see Egyed, Peter, 92f:68178 

Whiteley, Walter The combinatorics of bivariate splines. 92m:41038 

Wong, Eugene see Ginther, Oliver, 92e:68195 

Yao, Foong Frances see Paterson, Michael S., 92a:68153 and Graham, Ronald L. 

Yap, Chee-Keng see Overmars, Mark H., 92m:68120 

Yu, Xinhua see Goldak, John A.; et al., 92j:68120 


Items listed otherwise than by author 


ACM Symposium: 
Foundations of Solid Modeling and CAD/CAM Applications * Solid modeling. I. 
92i:68008 
Austin, TX * Solid modeling. I. 92i:68008 
Solid modeling * Solid modeling. I. 92i:68008 


52B60 Isoperimetric problems for polytopes 


Filliman, Paul Symmetric solutions to isoperimetric problems for polytopes. 92f:52028 
Ku, Hsii Tung (with Ku, Mei Chin) Isoperimetric-type inequalities. 92c:52021 

Ku, Mei Chin see Ku, Hsi Tung; et al., 92c:52021 

Reznikov, A.G. A strengthened isoperimetric inequality for simplices. 92i:52017 


52B70 Polyhedral manifolds 


Bandieri, Paola Platonic decompositions of 3-manifolds. (Italian summary) 92k:52028 

Barnette, David W. The minimal projective plane polyhedral maps. 92k:52029 

— Generating projective plane polyhedral maps. 924:52038 

— (with Gritzmann, Peter; Héhne, Rainer) On valences of polyhedra. 92g:52016 

Franz, Reinhard (with Huson, Daniel) The classification of quasi-regular polyhedra of 
genus 2. 92m:52033 

Gritzmanp, Peter see Barnette, David W.; et al., 92g:52016 

Griinbaum, Branko (with Shephard, G.C.) Descartes’ theorem in m dimensions. 92f:52029 

Hohne, Rainer see Barnette, David W.; et al., 92g:52016 

Huson, Daniel see Franz, Reinhard, 92m:52033 

Kiihnel, Wolfgang (with Schulz, Ch.) Submanifolds of the cube. 92d:52039 

Leytem, Charles Construction of equivelar manifolds with regularity conditions. (Serbo- 
Croatian summary) 92e:52023 

Magurn, Katherine E. Enumeration in balanced 2-manifolds. 92b:52032 

Pachner, Udo P.L. homeomorphic manifolds are equivalent by elementary shellings. 
92d:52040 

Schulte, Egon (with Wills, Jorg M.) Combinatorially regular polyhedra in three-space. 
92c:52022 


Schulz, Ch. see Kiihnel, Wolfgang, 924:52039 

Shephard, G. C. see Grinbaum, Branko, 92f:52029 

Wegner, Bernd Exterior parallelism for polyhedra. 92m:52034 

Wills, Jorg M. see Schulte, Egon, 92c:52022 

Wunderlich, Walter Shaky polyhedra of higher connection. 92a:52022 


Items with secondary classifications in 52B70 

Bokowski, Jiirgen On the geometric flat embedding of abstract complexes with symmetries. 
92£:52026 

Ku, Hsii Tung (with Ku, Mei Chin) Isoperimetric-type inequalities. 92c:52021 

Ku, Mei Chin see Ku, Hsi Tung; et al., 92c:52021 

Kihnel, Wolfgang Triangulations of manifolds with few vertices. 92k:57043 

Léger, Christian Opérations sur les cartes et métamorphoses de la catégorie des G- 
ensembles. (English summary) [Operations on maps and metamorphoses of the category 
of G-sets] 92k:18001 

Lickorish, W. B. R. Unshellable triangulations of spheres. 92k:57044 


52C Discrete geometry 


52C07 


Makarov, V.S. (with Makarova, K. P.) On a geodesic on the Seifert-Weber manifold. 
(Russian) 92h:57018 
Makarova, K. P. see Makarov, V. S., 92h:57018 


52B99 None of the above, but in this section 


Items with secondary classifications in 52B99 

Barnette, David W. Polyhedral embeddings in the projective plane. 92f:57010 

Bursill, L. A. see Peng, Ju Lin, (92b:52001) 

Peng, Ju Lin (with Bursill, L.A.) Computer-simulated images of icosahedral, pentagonal, 
and decagonal clusters of atoms. (see 92b:52001) 


52Cxx Discrete geometry 


52C05 Lattices and convex bodies in 2 dimensions 
[see also 11H06, 11H31, 11P21] 


Niizeki, Komajiro A classification of the space groups of approximant lattices to a decagonal 
quasilattice. 92k:52030 

Schnell, U. (with Wills, Jérg M.) Two isoperimetric inequalities with lattice constraints. 
92k:52031 

Stoyan, Yu. G. (with Vinarskii, V. Ya.) Double lattice allocation in the polygonal domains 
of R?. (Russian. English summary) 92c:52023 

Vinarskii, V. Ya. see Stoyan, Yu. G., 92c:52023 

Wills, Jorg M. Convexity, lattice points, finite packing and covering. 92b:52033 

— see also Schnell, U., 92k:52031 


Items with secondary classifications in 52C05 

Danzer, Ludwig (with Murphy, Grattan; Reay, John) Translational prototiles on a lattice. 
92b:52042 

Duma, Andrei (with Stoka, Marius) Sur quelques problémes de probabilités géométriques 
pour des réseaux irréguliers dans E> et E,. [Some geometric probabilty problems for 
irregular lattices in E2 and E,] 92h:60017 

Goda, Masaki (with Takemori, Tadashi; Kubo, Haruhiko; Ogawa, Tohru) A family of 
Fibonacci lattices. II. 92c:82020 

Kolodziejczyk, Krzysztof Areas of lattice figures in the planar tilings with congruent regular 
polygons. 92j:52035 

Kubo, Haruhiko see Goda, Masaki; et al., 92c:82020 

Lin, K’é Ying Number and size of convex polygons on the square lattice. (see 92c:82004) 

Murphy, Grattan see Danzer, Ludwig; et al., 92b:52042 

Ogawa, Tohru see Goda, Masaki; et al., 92c:82020 

Reay, John see Danzer, Ludwig; et al., 92b:52042 

Stoka, Marius see Duma, Andrei, 92h:60017 

Takemori, Tadashi see Goda, Masaki; et al., 92c:82020 

Walther, G. Experimental mathematics—tesselations of convex polygons in a hexagonal 
lattice. 92a:52030 

Zucker, I. J. Madelung constants and lattice sums for hexagonal crystals. 92g:82122 


52C07 Lattices and convex bodies in n dimensions 
[see also 11H06, 11H31, 11P21] 


Baake, Michael (with Joseph, D.; Schlottmann, Martin) The root lattice D, and planar 
quasilattices with octagonal and dodecagonal symmetry. 92m:52035 

Bacher, Roland Affinely regular integral simplices. 92i:52018 

Bertaut, Erwin-Félix Sur les relations linéaires entre les vecteurs des réseaux directs et 
réciproques dans E” et leurs applications en cristallographie. (English summary) [On the 
linear relations between direct and reciprocal lattice vectors in E” and their applications 
in crystallography] 92b:52034 

Chakrabarti, Partha Pratim see Das, Partha Pratim; et al., 92j:52027 

Chatterji, Biswa Nath see Das, Partha Pratim; et al., 92j:52027 

Conway, John Horton (with Sloane, Neil J. A.) The cell structures of certain lattices. 
92i:52019 

Das, Partha Pratim (with Chakrabarti, Partha Pratim; Chatterji, Biswa Nath) The f-cost-m- 
neighbour distance in digital geometry. 92j:52027 

Duneau, Michel (with Oguey, Christophe) Bounded interpolations between lattices. 
92b:52035 

Erdahl, Robert M. see Ryshkov, S. S., 92i:52020 

Joseph, D. see Baake, Michael; et al., 92m:52035 

Lagarias, Jeffrey C. (with Ziegler, Ginter M.) Bounds for lattice polytopes containing a 
fixed number of interior points in a sublattice. 92k:52032 

Lupsa, Liana On integer convex sets. 92b:52036 

Oguey, Christophe see Duneau, Michel, 92b:52035 

Onn, Shmuel On the geometry and computational complexity of Radon partitions in the 
integer lattice. 92d:52041 

Ryshkov, S.S. (with Erdahl, Robert M.) Dual systems of integer-valued vectors and their 
applications. (Russian) 92i:52020 

Schlottmann, Martin see Baake, Michael; et al., 92m:52035 

Sloane, Neil J. A. see Conway, John Horton, 92i:52019 

Strelkov, N. A. Projection-grid widths and lattice packings. (Russian) 92m:52036 

Szabé, Sandor Lattice covering by semicrosses of arm length 2. 92e:52024 

Uhrin, B. Projection minima of a symmetric convex body. (Russian summary) 92k:52033 

Whittaker, E. J. W. (with Whittaker, R. M.) Fivefold symmetry in higher-dimensional 
spaces and generalized Penrose patterns. 92f:52030 

Whittaker, R. M. see Whittaker, E. J. W., 92f:52030 

Ziegler, Ginter M. see Lagarias, Jeffrey C., 92k:52032 





52C07 


Items with secondary classifications in 52C07 

Baake, Michael (with Kramer, Peter; Schlottmann, Martin; Zeidler, Dieter) Planar patterns 
with fivefold symmetry as sections of periodic structures in 4-space. 92g:52020 

— (with Kramer, Peter; Schlottmann, Martin; Zeidler, Dieter) Planar patterns with fivefold 
symmetry as sections of periodic structures in 4-space. 92b:52041 

(Bannai, Eiichi) see Conway, John Horton, 92k:11070a and 92k:11070b 

Baranovskii, E. P. Partition of Euclidean spaces into L-polytopes of certain perfect lattices. 
(Russian) 92g:11066 

(Borcherds, Richard E.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Chaladus, Stefan On the densest lattice packing of centrally symmetric octahedra. 
92£:11087 

Conway, John Horton (with Sloane, Neil J. A.) * Ynaxosku mapos, pemleTKH 4 rpynnbi. Tom 
I. (Russian) [Sphere packings, lattices and groups. Vol. I] 92k:11070a 

— (with Sloane, Neil J. A.) * YnaxosKH wapos, peweTKH H rpynust. Tom II. (Russian) 
[Sphere packings, lattices and groups. Vol. II] 92k:11070b 

Duma, Andrei (with Stoka, Marius) Sur quelques problémes de probabilités géométriques 
pour des réseaux irréguliers dans E2 et E,. [Some geometric probabilty problems for 
irregular lattices in E, and E,] 92h:60017 

Dyer, Martin On counting lattice points in polyhedra. 92i:11111 

Gillet, Henri (with Soulé, Christophe) On the number of lattice points in convex symmetric 
bodies and their duals. 92k:11069 

Henk, Martin Inequalities between successive minima and intrinsic volumes of a convex 
body. 92a:52009 

Hosoya, Masahiko The least set of conditions to specify a Bravais lattice uniquely in its 
parameter space. 92b:82122 

Kramer, Peter see Baake, Michael; et al., 92b:52041 and 92g:52020 

(Leech, John) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Litsyn, S. N.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Llibre, Jaume (with Mumbri, Pere) On sizes and shapes of lattice figures. 92b:52024 

Lookman, Turab see Zhao, Dongming, 92f:82026 

(Manin, Yu. 1.) see Conway, John Horton, 92k:11070a 

Milman, Vitali D. Some applications of duality relations. 92h:52009 

Mumbri, Pere see Llibre, Jaume, 92b:52024 

(Norton, Simon P.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Odlyzko, Andrew M.) see Conway, John Horton, 92k:11070a and 92k:11076b 

(Parker, Richard A.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Queen, L.) see Conway, John Horton, 92k:11070a and 92k:11070b 

Schlottmann, Martin see Baake, Michael; et al., 92b:52041 and 92g:52020 

Schnell, U. (with Wills, Jorg M.) Two isoperimetric inequalities with lattice constraints. 
92k:52031 

(Shabat, G. B.) see Conway, John Horton, 92k:11070a 

Sloane, Neil J. A. see Conway, John Horton, 92k:11070a and 92k:11070b 

Soulé, Christophe see Gillet, Henri, 92k:11069 

Stoka, Marius see Duma, Andrei, 92h:60017 

Tsfasman, M. A. Global fields, codes and sphere packings. 92j:11063 

— see also Conway, John Horton, 92k:11070a and 92k:11070b 

(Venkov, B. B.) see Conway, John Horton, 92k:11070a and 92k:11070b 

(Viadut, Sergei G.) see Conway, John Horton, 92k:11070b 

Wills, Jorg M. Kugellagerungen und Konvexgeometrie. [Sphere packings and convex 
geometry] 92e:52027 

— Locally dense finite lattice packings of spheres. 92k:52041 

— see also Schnell, U., 92k:52031 

(Yakovlev, N. N.) see Conway, John Horton, 92k:11070b 

Zeidler, Dieter see Baake, Michael; et al., 92b:52041 and 92g:52020 

Zhao, Dongming (with Lookman, Turab) Specified polymer topologies interacting with a 
surface. 92f:82026 


52C10 Erdés problems and related topics of discrete geometry 
[see also 11Hxx] 


Alon, Noga Economical coverings of sets of lattice points. 92g:52017 

Aronov, Boris (with Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J.; Sharir, 
Micha; Wenger, Rephael) Points and triangles in the plane and halving planes in space. 
92m:52037 

Avis, David (with Erdés, Paul; Pach, Janos) Distinct distances determined by subsets of a 
point set in space. 92m:52038 

Beck, Jézsef Almost collinear triples among N points on the plane. 92h:52019 

Bialostocki, A. (with Dierker, P.; Voxman, B.) Some notes on the Erdés-Szekeres theorem. 
92k:52034 

Boltyanskii, V.G. (with Soifer, Alexander) * Geometric études in combinatorial mathe- 
matics. 92f:52031 

Brass, Peter The maximum number of second smallest distances in finite planar sets. 
92m:52039 

Chazelle, Bernard see Aronov, Boris; et al., 92m:52037 

Chung, Fan R. K. (with Szemerédi, Endre; Trotter, W. T.) The number of different 
distances determined by a set of points in the Euclidean plane. 92j:52028 

Dejter, Italo J. see Emamy-K., M. R.; et al., 92j:52029 

Dierker, P. see Bialostocki, A.; et al., 92k:52034 

Duffin, Richard J. Lines of best fit by graphics and the Wald line. 92m:52040 

Edelsbrunner, Herbert see Aronov, Boris; et al., 92m:52037 

Emamy-K., M. R. (with Guan, Puhua; Dejter, Italo J.) On the fault tolerance in a 5-cube. 
92j:52029 

Erdés, Paul (with Pach, Janos) Variations on the theme of repeated distances. 92b:52037 

— (with Makai, Endre, Jr.; Pach, Janos; Spencer, Joel H.) Gaps in difference sets, and the 
graph of nearly equal distances. 92i:52021 

— (with Fishburn, Peter C.; Fiiredi, Zoltan) Midpoints of diagonals of convex n-gons. 
92:52032 

— see also Avis, David; et al., 92m:52038 and Boltyanskii, V. G., 92f:52031 

Falconer, Kenneth J. On a problem of Erdés on fractal combinatorial geometry. 92j:52030 


CONVEX AND DISCRETE GEOMETRY 


Fishburn, Peter C. see Erdés, Paul; et al., 92f:52032 

Fiiredi, Zoltan see Erdés, Paul; et al., 92f:52032 

Giering, Oswald Maximale (m, n)-Punktkonfigurationen. [Maximal (m, n)-point configura- 
tions] 92f:52033 

(Grinbaum, Branko) see Boltyanskii, V. G., 92f:52031 

Guan, Puhua see Emamy-K., M. R.; et al., 92j:52029 

Guibas, Leonidas J. see Aronov, Boris; et al., 92m:52037 

Harborth, Heiko (with Piepmeyer, Lothar) Points sets with small integral distances. 
92i:52022 

Makai, Endre, Jr. see Erdés, Paul; et al., 92i:52021 

Pach, Janos (with Steiger, William; Szemerédi, Endre) An upper bound on the number of 
planar k-sets. 92k:52035 

— (with Sharir, Micha) Repeated angles in the plane and related problems. 92j:52031 

— see also Erdés, Paul, 92b:52037; 92i:52021 and Avis, David; et al., 92m:52038 

Piepmeyer, Lothar see Harborth, Heiko, 92i:52022 

Rosenfeld, Moshe Almost orthogonal lines in E4. 92:52034 

(Rousseau, C.C.) see Boltyanskii, V. G., 92f:52031 

Sharir, Micha see Pach, Janos, 92j:52031 and Aronov, Boris; et al., 92m:52037 

Soifer, Alexander see Boltyanskii, V. G., 92f:52031 

Spencer, Joel H. see Erdés, Paul; et al., 92i:52021 

Steiger, William see Pach, Janos; et al., 92k:52035 

Szemerédi, Endre see Chung, Fan R. K.; et al., 92j:52028 and Pach, Janos; et al., 92k:52035 

Trotter, W.T. see Chung, Fan R. K.; et al., 92j:52028 

Voxman, B. see Bialostocki, A.; et al., 92k:52034 

Wenger, Rephael see Aronov, Boris; et al., 92m:52037 

Yugai, S. A. On the largest number of diameters of a point set in Euclidean space. (Russian) 
(see 92m:54001) 


Items with secondary classifications in 52C10 


Erdés, Paul Some of my favourite unsolved problems. 92f:11003 
Komjath, Péter Tetrahedron free decomposition of R?. 92i:52008 
Maehara, Hiroshi A rigid unit-bar-framework without triangle. 92c:52036 
Moser, William O. J. Problems, problems, problems. 924:52001 


52C15 Packing and covering in 2 dimensions [see also 05B40, 
11H31] 


Beardon, Alan F. (with Stephenson, Kenneth) The uniformization theorem for circle 
packings. 92b:52038 

— (with Stephenson, Kenneth) Circle packings in different geometries. 92a:52023 

Beck, Anatole Greed is (sometimes) not enough. 92f:52035 

Bessis, Daniel (with Demko, Stephen G.) Generalized Apollonian packings. 924:52042 

Bezdek, A. Double-saturated packing of unit disks. 92¢:52024 

Clare, B. W. (with Kepert, D. L.) The optimal packing of circles on a sphere. 92k:52036 

Connelly, Robert Juxtapositions rigides de cercles et de sphéres. II. Juxtapositions infinies 
de mouvement fini. [Rigid circle and sphere packings. II. Infinite packings with finite 
motion] 92i:52023 

Demko, Stephen G. see Bessis, Daniel, 92d:52042 

Fejes Téth, G. (with Fejes Toth, Laszl6) Remarks on 5-neighbor packings and coverings 
with circles. 92f:52036 

Fejes Toth, Laszlé6 see Fejes Toth, G., 92f:52036 

Fiiredi, Zoltan The densest packing of equal circles into a parallel strip. 92e:52025 

Gaspar, Zsolt Spiral circle packings on a sphere. 92m:52041 

— see also Tarnai, Tibor, 92h:52020 and 92m:52043 

Harborth, Heiko (with Jager, Sabine) Konvexe Hiillen von kantenbenachbarten regularen 
Vielecken. [Convex hulls of edge-adjacent regular polygons] 92i:52024 

Hars, L. Circle packing with maximum total perimeter. 92¢:52025 

He, Zheng-Xu An estimate for hexagonal circle packings. 92b:52039 

Heppes, Aladér On the packing density of translates of a domain. 92c¢:52026 

Herrmann, Hans Jiirgen see Manna, S. S., 92c:52027 

Jager, Sabine see Harborth, Heiko, 92i:52024 

Kepert, D. L. see Clare, B. W., 92k:52036 

Kooshesh, Ali A. (with Moret, Bernard M. E.; Székely, L. A.) Improved bounds for the 
prison yard problem. 92k:52037 

Kottwitz, D. A. The densest packing of equal circles on a sphere. 92m:52042a 

— Erratum: “The densest packing of equal circles on a sphere”. 92m:52042b 

Manna, S.S. (with Herrmann, Hans Jiirgen) Precise determination of the fractal 
dimensions of Apollonian packing and space-filling bearings. 92¢:52027 

— (with Vicsek, Tamas) Multifractality of space-filling bearings and Apollonian packings. 
92:52037 

Marden, Al (with Rodin, Burt) On Thurston’s formulation and proof of Andreev’s 
theorem. 92b:52040 

Mollard, Michel (with Payan, Charles) Some progress in the packing of equal circles in a 
square. 924:52043 

Moret, Bernard M. E. see Kooshesh, Ali A.; et al., 92k:52037 

Mount, David M. The densest double-lattice packing of a convex polygon. 92m:52044 

Payan, Charles see Mollard, Michel, 924:52043 

Rodin, Burt On a problem of A. Beardon and K. Stephenson. 92k:52038 

— see also Marden, Al, 92b:52040 

Schramm, Oded Existence and uniqueness of packings with specified combinatorics. 
92k:52039 

Stephenson, Kenneth see Beardon, Alan F., 92a:52023 and 92b:52038 

Székely, L. A. see Kooshesh, Ali A.; et al., 92k:52037 

Tarnai, Tibor (with Wenninger, Magnus J.) Recouvrements de la sphére par des cercles et 
des démes géodésiques. [Spherical circle-coverings and geodesic domes] 92h:52021 

— (with Gaspar, Zsolt) Covering a sphere by equal circles, and the rigidity of its graph. 
92h:52020 

— (with Gaspar, Zsolt) Arrangement of 23 points on a sphere (on a conjecture of R. M. 
Robinson). 92m:52043 





875 1992 


Vicsek, Tamas see Manna, S. S., 92f:52037 
Wenninger, Magnus J. see Tarnai, Tibor, 92h:52021 


Items with secondary classifications in 52C15 

Bisztriczky, Tibor (with Béréczky, Karoly, Jr.; Harborth, Heiko; Piepmeyer, Lothar) On the 
smallest limited snake of unit disks. 92k:52044 

Bordéczky, Karoly, Jr. see Bisztriczky, Tibor; et al., 92k:52044 

Harborth, Heiko see Bisztriczky, Tibor; et al., 92k:52044 

Hemmer, P.C. The random parking problem. 92e:82054 

Lubachevsky, Boris D. (with Stillinger, Frank H.; Pinson, Elliot N.) Disks vs. spheres: 
contrasting properties of random packings. 92d:82047 

Piepmeyer, Lothar see Bisztriczky, Tibor; et al., 92k:52044 

Pinson, Elliot N. see Lubachevsky, Boris D.; et al., 92d:82047 

Rahman, Mushfeque A star whose irregular packing is denser than its lattice packing. 
92a:11074 

Schnell, U. (with Wills, Jérg M.) Two isoperimetric inequalities with lattice constraints. 
92k:52031 

Spear, Donald W. Measures and self-similarity. 92k:28013 

Stephenson, Kenneth Circle packings in the approximation of conformal mappings. 
92¢:30009 

Stillinger, Frank H. see Lubachevsky, Boris D.; et al., 92d:82047 

de Verdiere, Yves Colin Un principe variationnel pour les empilements de cercles. [A 
variational principle for circle packings] 92h:57020 

Wills, Jérg M. Convexity, lattice points, finite packing and covering. 92b:52033 

— see also Schnell, U., 92k:52031 


52C17 Packing and covering in 1 dimensions [see also 05B40, 
11H31] 


Arslanov, M. Z. (with Sushkov, B. G.) * K sonpocy 06 aHamHTH4ecKOM OnHcaHHM byHKWMH 
MNOTHOTO pasMemleHHA. (Russian) [On the analytic description of a function of dense 
packing] 92e:52026 

Bezdek, A. (with Kuperberg, W.) Packing Euclidean space with congruent cylinders and 
with congruent ellipsoids. 92j:52032 

— (with Kuperberg, W.; Makai, Endre, Jr.) Maximum density space packing with parallel 
strings of spheres. 92a:52024 

— (with Kuperberg, W.) Placing and moving spheres in the gaps of a cylinder packing. 
92¢:52028 

Bezdek, Karoly (with Connelly, Robert) Lower bounds for packing densities. 92k:52040 

Bourgain, Jean (with Lindenstrauss, J.) On covering a set in R” by balls of the same 
diameter. 92g:52018 

Connelly, Robert see Bezdek, Kdroly, 92k:52040 

Grip, Robert E. see Kitrick, Christopher J., 92a:52025 

Heppes, Aladar (with Szab6, Laszl6 E.) On the number of cylinders touching a ball. 
92g:52019 

Kerner, Richard Symmetry and scale: from local to global symmetries. 92f:52038 

Kitrick, Christopher J. (with Grip, Robert E.) Formes hélicoidales de tétraédres liés par 
leurs faces. [Helical forms of face bonded tetrahedra] 92a:52025 

Kuperberg, Krystyna A nonparallel cylinder packing with positive density. 92d:52044 

Kuperberg, W. see Bezdek, A.; et al., 92a:52024; 92c:52028 and 92j:52032 

Lassak, Marek (with Zhang, Jixian) An on-line potato-sack theorem. 92c¢:52029 

Lindenstrauss, J. see Bourgain, Jean, 92g:52018 

Makai, Endre, Jr. see Bezdek, A.; et al., 92a:52024 

Rataj, J. see Saxl, I., 92¢:52030 

Saxl, I. (with Rataj, J.) Distances of spherical contact in lattices of figures and lattices of 
figures with faults. 92c:52030 

Sushkov, B. G. see Arslanov, M. Z., 92e:52026 

Szab6, Laszlé E. 21-neighbour packing of equal balls in the 4-dimensional Euclidean space. 
92j:52033 

— see also Heppes, Aladdr, 92g:52019 

Wills, Jirg M. Kugellagerungen und Konvexgeometrie. [Sphere packings and convex 
geometry] 92e:52027 

— Locally dense finite lattice packings of spheres. 92k:52041 

Zhang, Jixian see Lassak, Marek, 92c:52029 


Items with secondary classifications in 52C17 

Baake, Michael (with Kramer, Peter; Papadopolos, Z.; Zeidler, Dieter) Icosahedral 
dissectable tilings from the root lattice Dg. (see 92g:81003) 

Borner, Walter Simplexe mit streng monotoner Entropiezahlenfolge. [Simplices with 
strongly monotone entropy sequence] 92m:41067 

Conway, John Horton (with Sloane, Neil J. A.) The cell structures of certain lattices. 
92i:52019 

Kramer, Peter see Baake, Michael; et al., (92g:81003) 

Lubachevsky, Boris D. (with Stillinger, Frank H.; Pinson, Elliot N.) Disks vs. spheres: 
contrasting properties of random packings. 92d:82047 

O’Keeffe, M. Dense and rare four-connected nets. 92h:82125 

Papadopolos, Z. see Baake, Michael; et al., (92g:81003) 

Pinson, Elliot N. see Lubachevsky, Boris D.; et al., 92d:82047 

Radin, Charles Global order from local sources. 92¢:82007 

Rush, J. A. Constructive packings of cross polytopes. 92k:11071 

Sloane, Neil J. A. see Conway, John Horton, 92i:52019 

Stillinger, Frank H. see Lubachevsky, Boris D.; et al., 92d:82047 

Strelkov, N. A. Projection-grid widths and lattice packings. (Russian) 92m:52036 

Szab6, Sandor Lattice covering by semicrosses of arm length 2. 92e:52024 

Zeidler, Dieter see Baake, Michael; et al., (92g:81003) 


52C20 Tilings in 2 dimensions [see also 05B45, 51M20] 


Allouche, Jean-Paul (with Salon, Olivier) Finite automata, quasicrystals, and Robinson 
tilings. 92¢:52031 


52C Discrete geometry 


52C20 


Baake, Michael (with Kramer, Peter; Schlottmann, Martin; Zeidler, Dieter) Planar patterns 
with fivefold symmetry as sections of periodic structures in 4-space. 92g:52020 

— (with Kramer, Peter; Schlottmann, Martin; Zeidler, Dieter) Planar patterns with fivefold 
symmetry as sections of periodic structures in 4-space. 92b:52041 

Balke, Ludwig * Diskontinuierliche Gruppen als A phi gruppen von Pflasterun- 
gen. (German) [Discontinuous groups as automorphism groups of tilings] 92h:52022 

Bauch, Hans F. Magische Figuren in Parketten. [Magical figures in parquets] 92¢:52032 

Bongartz, Klaus (with Mertens, Detlef) On the enumeration of homeochromatic classes of 
k-chromatic tilings. 92a:52026 

Clivio, A. Tilings of a torus with rectangular boxes. 92h:52023 

Danzer, Ludwig Quasiperiodicity: local and global aspects. (see 92g:81003) 

— (with Murphy, Grattan; Reay, John) Translational prototiles on a lattice. 92b:52042 

Feiste, Uwe see Flachsmeyer, Jirgen; et al., 92m:52045 

Flachsmeyer, Jiirgen (with Feiste, Uwe; Manteuffel, Karl) * Mathematik und ornamentale 
Kunstformen. (German) [Mathematics and ornamental art forms] 92m:52045 

Fontaine, Anne An infinite number of plane figures with Heesch number two. 92a:52027 

Girault-Beauquier, Daniele (with Nivat, M.) On translating one polyomino to tile the plane. 
92i:52025 

Hoskins, J. A. (with Thomas, R.S.D.) The patterns of the isonemal two-colour two-way 
two-fold fabrics. 92h:52024 

Kaiser, Heiner Zerlegungen euklidischer und nichteuklidischer Polygone in spitzwinklige 
Dreiecke. (English and Serbo-Croatian summaries) [Dissections of Euclidean and non- 
Euclidean polygons into acute triangles] 92e:52028 

Kawamura, Hikaru Entropy of the random triangle-square tiling. 92j:52034 

Kolodziejczyk, Krzysztof Areas of lattice figures in the planar tilings with congruent regular 
polygons. 92j:52035 

Kramer, Peter see Baake, Michael; et al., 92b:52041 and 92g:52020 

Laczkovich, Miklés Tilings of polygons with similar triangles. 92d:52045 

Ludié, Z. (with Molnar, Emil) Fundamental domains for planar discontinuous groups and 
uniform tilings. 92m:52046 

Mackay, Alan L. Crystals and fivefold symmetry. 92b:52043 

Mantenffel, Karl see Flachsmeyer, Jirgen; et al., 92m:52045 

McMullen, Peter Nondiscrete regular honeycombs. 92¢:52033 

Mertens, Detlef see Bongartz, Klaus, 92a:52026 

Molndr, Emil see Lutié, Z., 92m:52046 

Murphy, Grattan see Danzer, Ludwig; et al., 92b:52042 

Nissen, Hans-Ude A two-dimensional quasiperiodic dodecagonal tiling by two pentagons. 
92£:52039 

Nivat, M. see Girault-Beauquier, Daniele, 92i:52025 

Pandey, L. see Ramachandrarao, P.; et al., 92c:52034 

Quaisser, Erhard Themen und Formen bei Ostwaldschen Grundmustern. [Subjects and 
forms in Ostwald’s basic patterns] 92m:52047 

Ramachandrarao, P. (with Sastry, G. V. S.; Pandey, L.; Sinha, Arvind) A novel algorithm 
for a quasiperiodic plane lattice with fivefold symmetry. 92¢:52034 

Reay, John see Danzer, Ludwig; et al., 92b:52042 

Rigby, J. F. Napoleon, Escher, and tessellations. 92j:52036a 

— Napoléon, Escher et les tessellations. [Napoleon, Escher and tessellations] 92j:52036b 

Roth, Richard L. Some 2-isohedral tilings of the plane. 92g:52021 

— The classification of bipatterns in the plane. 92m:52048 

Salon, Olivier see Allouche, Jean-Paul, 92c:52031 

Sastry, G. V.S. see Ramachandrarao, P.; et al., 92c:52034 

Schlottmann, Martin see Baake, Michael; et al., 92b:52041 and 92g:52020 

Schmitt, Peter An aperiodic triple of prototiles. 92a:52028 

Sinha, Arvind see Ramachandrarao, P.; et al., 92c:52034 

Soardi, Paolo M. Recurrence and transience of the edge graph of a tiling of the Euclidean 
plane. 92b:52044 

Stehling, Thomas Uber des Kotziggewicht normaler Pflasterungen. (English summary) [On 
the Kotzig weight of normal tilings] 92a:52029 

Thomas, R.S.D. see Hoskins, J. A., 92h:52024 

Versmissen, Koen Monohedral periodic tilings of the plane with any number of aspects. 
92k:52042 

Walther, G. Experimental mathematics—tesselations of convex polygons in a hexagonal 
lattice. 92a:52030 

Zeidler, Dieter see Baake, Michael; et al., 92b:52041 and 92g:52020 





Items with secondary classifications in 52C20 

Baake, Michael (with Joseph, D.; Schlottmann, Martin) The root lattice D, and planar 
quasilattices with octagonal and dodecagonal symmetry. 92m:52035 

Bezdek, A. Double-saturated packing of unit disks. 92¢:52024 

Burkov, S. E. Are layered two-dimensional quasicrystals periodic in the third direction? 
92g:82119 

Dress, Andreas W. M. Repetition und Metamorphose—zum Symmetriebegriff in der Math- 
ematik. [Repetition and metamorphosis—on the concept of symmetry in mathematics} 
924:51010 

Guy, Richard K. Tiling the square with rational triangles. 92f:11044 

Harborth, Heiko Concentric cycles in mosaic graphs. 92g:51019 

Jagodzinski, H. Diffraction from the Fibonacci chain. 92m:82146 

Joseph, D. see Baake, Michael; et al., 92m:52035 

Kenyon, Richard Rigidity of planar tilings. 92m:52049 

Miller, Wolfgang! Geometrische Ornamente in der islamischen Kunst. [Geometric 
ornaments in Islamic art] 92h:01007 

Niizeki, Komajiro A classification of the space groups of approximant lattices to a decagonal 
quasilattice. 92k:52030 

Radin, Charles Global order from local sources. 92e:82007 

Schlottmann, Martin see Baake, Michael; et al., 92m:52035 

Simon, Julie D. Bounds on the cardinalities of families of nearly neighborly quadrilaterals. 
92i:52002 

Stampfli, Peter New quasiperiodic lattices from the grid method. 92¢:52035 





52C22 


52C22 Tilings in n dimensions [see also 05B45, 51M20] 


Aragon, J. L. see Gémez, Alfredo; et al., 92b:52045 

Baake, Michael (with Kramer, Peter; Papadopolos, Z.; Zeidler, Dieter) Icosahedral 
dissectable tilings from the root lattice Dg. (see 92g:81003) 

— (with Schlottmann, Martin; Jarvis, P. D.) Quasiperiodic tilings with tenfold symmetry 
and equivalence with respect to local derivability. 92k:52043 

Bezdek, A. (with Kuperberg, W.) Examples of space-tiling polyhedra related to Hilbert’s 
problem 18, question 2. 92a:52031 

Davila, F. see Gomez, Alfredo; et al., 92b:52045 

Gémez, Alfredo (with Aragén, J. L.; Davila, F.) Quasicrystals that project from nonisomet- 
ric lattices: a generalization of a theorem by Hadwiger. 92b:52045 

Jarvis, P.D. see Baake, Michael; et al., 92k:52043 

Kramer, Peter see Baake, Michael; et al., (92g:81003) 

Kuperberg, W. see Bezdek, A., 92a:52031 

Makarov, V.S. On a nonregular partition of an n-dimensional Lobachevskii space by 
congruent polytopes. (Russian) 92d:52046 

Papadopolos, Z. see Baake, Michael; et al., (92g:81003) 

Schlottmann, Martin see Baake, Michael; et al., 92k:52043 

Stampfli, Peter New quasiperiodic lattices from the grid method. 92¢:52035 

Zeidler, Dieter see Baake, Michael; et al., (92g:81003) 


Items with secondary classifications in 52C22 

Ashley, Jonathan (with Griinbaum, Branko; Shephard, G. C.; Stromquist, Walter) Self- 
duality groups and ranks of self-dualities. 92f:51017 

Burkov, S. E. Are layered two-dimensional quasicrystals periodic in the third direction? 
92g:82119 

Damiani, E. (with D’Antona, O.; Naldi, G.; Pavarino, L.) Erratum: “Tiling bricks with 
bricks” [Stud. Appl. Math. 83 (1990), no. 2, 91-110; MR 91f:05040). 

D’Antona, O. see Damiani, E.; et al. 

Grinbaum, Branko see Ashley, Jonathan; et al., 92f:51017 

Janner, A. Which symmetry will an ideal quasicrystal admit? 92j:82063 

Kenyon, Richard Rigidity of planar tilings. 92m:52049 

Kerner, Richard Symmetry and scale: from local to global symmetries. 92f:52038 

Klee, Victor (with Maluta, Elisabetta; Zanco, Clemente) Uniform properties of collections 
of convex bodies. 92k:52001 

Knupfer, A. (with Kramer, Peter) On the relation between decagonal and icosahedral 
quasicrystals. 92h:82124 

Kramer, Peter see Knupfer, A., 92h:82124 

Li, Wei Xiong (with Park, Hyunggyu; Widom, Michael) Phase diagram of a random tiling 
quasicrystal. 92i:82119 

Mackay, Alan L. Crystals and fivefold symmetry. 92b:52043 

Maluta, Elisabetta see Klee, Victor; et al., 92k:52001 

McMullen, Peter Nondiscrete regular honeycombs. 92¢:52033 

Mosseri, R. (with Sadoc, J.-F.) Noncrystalline atomic structures: from glasses to quasi- 
cristals [quasi-crystals]. (see 92m:82003) 

Naldi, G. see Damiani, E.; et al. 

Oguey, Christophe Periodic surfaces in the description of quasicrystals. 92a:82129 

Park, Hyunggyu see Li, Wei Xiong; et al., 92i:82119 

Pavarino, L. see Damiani, E.; et al. 

Sadoc, J.-F. see Mosseri, R., (92m:82003) 

Sagdeev, R. Z. (with Zaslavskii,G.M.) Dynamic origin of fivefold symmetry. 92k:58183 

Shephard, G.C. see Ashley, Jonathan; et al., 92f:51017 

Stromquist, Walter see Ashley, Jonathan; et al., 92f:51017 

Szabé, Sandor Lattice covering by semicrosses of arm length 2. 92e:52024 

Widom, Michael see Li, Wei Xiong; et al., 92i:82119 

Zanco, Clemente see Klee, Victor; et al., 92k:52001 

Zaslavskii,G. M. see Sagdeev, R. Z., 92k:58183 


52C25 Rigidity and flexibility of structures [see also 70B15] 


Connelly, Robert On generic global rigidity. 92g:52022 

Kann, Edgar Infinitesimal rigidity of almost-convex oriented polyhedra of arbitrary Euler 
characteristic. 92a:52032 

Kenyon, Richard Rigidity of planar tilings. 92m:52049 

Maehara, Hiroshi On Graver’s conjecture concerning the rigidity problem of graphs. 
92a:52033 

— A rigid unit-bar-framework without triangle. 92c:52036 

Stachel, Hellmuth Zwei bemerkenswerte bewegliche Strukturen. (English summary) [Two 
remarkable movable structures] 92m:52050 

Tay, Tiong Seng Linking (n — 2)-dimensional panels in n-space. I. (k — 1, k)-graphs and 
(k — 1,k)-frames. 92j:52037 

— La méthode de Henneberg appliquée aux charpentes de barres et de corps rigides. 
[Henneberg’s method for bar and body frameworks] 92j:52038 

Whiteley, Walter La division de sommet dans les charpentes isostatiques. [Vertex splitting 
in isostatic frameworks] 92c:52037 


Items with secondary classifications in 52C25 

Connelly, Robert Juxtapositions rigides de cercles et de sphéres. II. Juxtapositions infinies 
de mouvement fini. [Rigid circle and sphere packings. II. Infinite packings with finite 
motion] 92i:52023 

Crapo, Henry Invariant-theoretic methods in scene analysis and structural mechanics. 
92g:51004 

G4spéar, Zsolt see Tarnai, Tibor, 92d:92013 

Servatius, Brigitte On the two-dimensional generic rigidity matroid and its dual. 92d:05042 

Tarnai, Tibor (with Gaspar, Zsolt) The shape of coated vesicles. (Serbo-Croatian summary) 
924:92013 


52C99 None of the above, but in this section 
Bisztriczky, Tibor (with Béréczky, Karoly, Jr.; Harborth, Heiko; Piepmeyer, Lothar) On the 


CONVEX AND DISCRETE GEOMETRY 


smallest limited snake of unit disks. 92k:52044 
Boréczky, Karoly, Jr. see Bisztriczky, Tibor; et al., 92k:52044 
Harborth, Heiko see Bisztriczky, Tibor; et al., 92k:52044 
Piepmeyer, Lothar see Bisztriczky, Tibor; et al., 92k:52044 


Items with secondary classifications in 52C99 

Bursill, L. A. see Peng, Ju Lin, (92b:52001) 

Kirsch, Arnold Das Paradoxon von Hausdorff, Banach und Tarski: Kann man es “ver- 
stehen”? [The paradox of Hausdorff, Banach and Tarski: can one “understand” it?] 
92b:28009 

Mees, Alistair I. Dynamical systems and tesselations: detecting determinism in data. 
92k:58180 

Pach, Janos (with Sauer, Norbert W.) On the average volume of subsets in Euclidean d- 
space. 92h:05139 

Peng, Ju Lin (with Bursill, L. A.) Computer-simulated images of icosahedral, pentagonal, 
and decagonal clusters of atoms. (see 92b:52001) 

Sauer, Norbert W. see Pach, Janos, 92h:05139 

Schulte, Egon (with Weiss, Asia Ivi¢) Chiral polytopes. 92f:51018 

Senechal, Marjorie Generalizing crystallography: puzzles and problems in dimension 1. 
92:11184 

Stephanides, Adam On regular incidence quasi-polytopes. 92¢e:52018 

Weiss, Asia Ivié see Schulte, Egon, 92f:51018 


53-XX Differential geometry {For differential 
topology, see 57Rxx. For foundational 
questions of differentiable manifolds, 
see 58Axx.} 


53-01 Instructional exposition (textbooks, tutorial papers, etc.) 


(Burns, Robert G.) see Dubrovin, B. A.; et al., 92h:53001 

do Carmo, Manfredo Perdigao * Riemannian geometry. 92i:53001 

Dubrovin, B. A. (with Fomenko, A. T.; Novikov, S. P.) * Modern geometry—methods and 
applications. Part I. 92h:53001 

(Flaherty, Francis) see do Carmo, Manfredo Perdigao, 92i:53001 

Fomenko, A. T. see Dubrovin, B. A.; et al., 92h:53001 

Kreyszig, Erwin * Differential geometry. 92d:53001 

Novikov, S. P. see Dubrovin, B. A.; et al., 92h:53001 

Schone, W. * Differentialgeometrie. (German) [Differential geometry] 92g:53001 

Thornley, Gillian Differential geometry—connections. 


Items with secondary classifications in 53-01 

Aleksandrov, A. D. (with Netsvetaev, N. Yu.) * Teometpua. (Russian) [Geometry] 
92k:51001 

Aminov, Yu. A. * Teometpua BexTopxoro noms. (Russian) [Geometry of a vector field] 
92m:53004 

(Andrianova, M.) see IVin, Viadimir Aleksandrovich, 92g:00002b 

Doolin, Brian F. (with Martin, Clyde Franklin) * Introduction to differential geometry for 
engineers. 92j:93001 

Fomenko, A. T. see Novikov, S. P., 92h:58002 

Gray, Alfred * Tubes. 92d:53002 

IVin, Vladimir Aleksandrovich (with Poznyak, E.G.) * Fundamentos del anilisis 
matematico. 2. (Spanish) [Foundations of mathematical analysis. 2] 92g:00002b 

Li, Jia Xian * Xiandai fenxi yuanli. (Chinese) [Principles of modern analysis] 92h:58001 

Martin, Clyde Franklin see Doolin, Brian F., 92j:93001 

Martin, Daniel * Manifold theory. 92g:58001 

(Medkov, K. P.) see Il’in, Viadimir Aleksandrovich, 92g:00002b 

Netsvetaev, N. Yu. see Aleksandrov, A. D., 92k:51001 

Novikov, S. P. (with Fomenko, A. T.) * Basic elements of differential geometry and 
topology. 92h:58002 

Poznyak, E.G. see IV'in, Vladimir Aleksandrovich, 92g:00002b 

Rozental’, I. L. * Mexannka kak reometpua. (Russian) [Mechanics as geometry] 92k:83002 

(Tsaplina, M. V.) see Novikov, S. P., 92h:58002 


53-02 Research exposition (monographs, survey articles) 


Gray, Alfred * Tubes. 92d:53002 
Kasper, U. Fibre bundles: an introduction to concepts of modern differential geometry. 


92g:53002 
Items with secondary classifications in 53-02 


Chern, Shiing Shen Surface theory with Darboux and Bianchi. 92k:53006 
Yau, Shing-Tung A review of complex differential geometry. 92j:32029 


53-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 53-03 


Bosch i Casabo, Marianna Huygens, Newton and the radius of curvature. (Catalan) 
92b:01022 
















877 1992 


Dedekind, R. Analytische Untersuchungen zu Bernhard Riemann’s Abhandlungen Uber 
die Hypothesen, welche der Geometrie zu Grunde liegen. [Analytical investigations on 
Bernhard Riemann’s treatise On the hypotheses which are the foundation of geometry] 
92i:01022 

Dombrowski, Peter Differentialgeometrie. [Differential geometry] 92a:01052 

Fomenko, A. T. * The Plateau problem. Part I. 92e:01003 

Molino, Pierre La géométrie différentielle des feuilletages dans I’ceuvre de B. Reinhart. [The 
differential geometry of foliations in the works of B. Reinhart] 92h:01072b 

(Reinhart, Bruce L.) see Molino, Pierre, 92h:01072b 

(Riemann, Georg Friedrich Bernhard) see Dedekind, R., 92i:01022 


53-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Abel, E. (with Roomeldi, R.; Tuulmet-s, L.) Investigation of submanifolds in the metrized 
projective spaces by REDUCE. (Russian summary) 92h:53002 

Roomeldi, R. see Abel, E.; et al., 92h:53002 

Tuulmet-s, L. see Abel, E.; et al., 92h:53002 


Items with secondary classifications in 53-04 

Callahan, Michael J. From sketches to equations to pictures: minimal surfaces and 
computer graphics. 92e:53007 

Francis, George K. The Etruscan Venus. 92e:53003 

Roque, Waldir L. (with dos Santos, Renato P.) Computer algebra in spacetime embedding. 
92g:83002 

dos Santos, Renato P. see Roque, Waldir L., 92g:83002 


53-06 Proceedings, conferences, collections, etc. 


(Chinea, Domingo) see Proceedings: Workshop on Recent Topics in Differential Geometry, 
924d:53003 

(De Bartolomeis, Paolo) see Geometric topology: recent developments, 92m:53001 

(Morvan, Jean-Marie) see Geometry and topology of submanifolds, 92b:53001 

(Oliker, Vladimir) see Geometry and nonlinear partial differential equations, 92k:53001 

(Ostianu, N.M.) see Problems in geometry, 92i:53003 

(Shelekhov, A.M.) see Webs and quasigroups, 92f:53003 

(Sierra, J. M.) see Proceedings: Workshop on Recent Topics in Differential Geometry, 
924:53003 

(Treibergs, Andrejs) see Geometry and nonlinear partial differential equations, 92k:53001 

(Tricerri, Franco) see Geometric topology: recent developments, 92m:53001 

(Verstraelen, Leopold) see Geometry and topology of submanifolds, 92b:53001 


Items listed otherwise than by author 


Affine differential geometry * Affine differential geometry. 92i:53002 

Conference: 
Affine Differential Geometry * Affine differential geometry. 92i:53002 
Nonlinear Geometric Algebra * Webs and quasigroups. 92f:53003 

Contemporary Mathematics * Geometry and nonlinear partial differential equations. 
92k:53001 

Fayetteville, AR * Geometry and nonlinear partial differential equations. 92k:53001 

Geometric topology: 
recent developments * Geometric topology: recent developments. 92m:53001 

Geometry and nonlinear partial differential equations * Geometry and nonlinear partial 
differential equations. 92k:53001 

Geometry and topology of submanifolds * Geometry and topology of submanifolds. 
92b:53001 

Itogi Nauki i Tekhniki * [Ipo6ems1 reometpuu. Tom 23. (Russian) [Problems in geometry. 
Vol. 23] 92i:53003 

Lecture Notes in Mathematics * Geometric topology: recent developments. 92m:53001 

Marseille * Geometry and topology of submanifolds. 92b:53001 

Mi 
Geometry and Topology of Submanifolds * Geometry and topology of submanifolds. 

92b:53001 

Montecatini Terme * Geometric topology: recent developments. 92m:53001 

Montpellier * Séminaire Gaston Darboux de Géométrie et Topologie Différentielle. 1989- 
1990. (French) [Gaston Darboux Seminar on Geometry and Differential Topology. 1989- 
1990] 92c:53001 

Moscow * Webs and quasigroups. 92f:53003 

Oberwolfach * Affine differential geometry. 92i:53002 

Problems in geometry * Problems in geometry. Vol. 22. 92£:53001 

— * Problems in geometry. Vol. 21. 92f:53002 

— *& Ipo6nemp! reometpuu. Tom 23. (Russian) [Problems in geometry. Vol. 23] 92i:53003 


Workshop on Recent Topics in Differential Geometry * Proceedings of the Workshop on 
Recent Topics in Differential Geometry. 924:53003 
Puerto de la Cruz * Proceedings of the Workshop on Recent Topics in Differential 
Geometry. 924:53003 
Seminar: 
Geometry and Differential Topology * Séminaire Gaston Darboux de Géométrie 
et Topologie Différentielle. 1989-1990. (French) [Gaston Darboux Seminar on 
Geometry and Differential Topology. 1989-1990] 92c:53001 
Session: 
Geometry, Physics and Nonlinear Partial Differential Equations * Geometry and 
nonlinear partial differential equations. 92k:53001 
Recent Developments in Geometric Topology and Related Topics * Geometric topology: 
recent developments. 92m:53001 
Webs and quasigroups * Webs and quasigroups. 92£:53003 
Workshop: 
Recent Topics in Differential Geometry * Proceedings of the Workshop on Recent Topics 
in Differential Geometry. 924:53003 


DIFFERENTIAL GEOMETRY 








53A04 


Items with secondary classifications in 53-06 

(Dziuk, Gerhard) see Workshop: Theoretical and Numerical Aspects of Geometric Varia- 
tional Problems, 92g:00031 

(Gelfand, I. M.) see Geometry and physics, 92k:00025 

(Gindikin, S.G.) see Geometry and physics, 92k:00025 

(Huisken, Gerhard) see Workshop: Theoretical and Numerical Aspects of Geometric 
Variational Problems, 92g:00031 

(Hutchinson, John E.) see Workshop: Theoretical and Numerical Aspects of Geometric 
Variational Problems, 92g:00031 

(Nicas, Andrew J.) see Differential geometry, global analysis, and topology, 92m:00041 

(Ochiai, Takushiro) see Recent topics in differential and analytic geometry, 92h:32001 and 
Kahler metric and moduli spaces, 92i:32003 

(Shadwick, William F.) see Differential geometry, global analysis, and topology, 92m:00041 

(Singer, I.M.) see Geometry and physics, 92k:00025 


Items listed otherwise than by author 


Canberra * Workshop on Theoretical and Numerical Aspects of Geometric Variational 
Problems. 92g:00031 
Conference: 
Differential Geometry and Topology * Conference on Differential Geometry and 
Topology. 92c:00014 
Differential geometry, global analysis, and topology * Differential geometry, global analysis, 
and topology. 92m:00041 
Geometry and physics * Geometry and physics. 92k:00025 
Halifax, NS * Differential geometry, global analysis, and topology. 92m:00041 
Kahler metric and moduli spaces * Kahler metric and moduli spaces. 92i:32003 
Meeting: 
Canadian Mathematical Society * Differential geometry, global analysis, and topology. 
92m:00041 
Recent topics in differential and analytic geometry * Recent topics in differential and 
analytic geometry. 92h:32001 
Sardinia * Conference on Differential Geometry and Topology. 92c:00014 
Session: 
Differential Geometry, Global Analysis, and Topology * Differential geometry, global 
analysis, and topology. 92m:00041 
Workshop: 
Theoretical and Numerical Aspects of Geometric Variational Problems * Workshop on 
Theoretical and Numerical Aspects of Geometric Variational Problems. 92g:00031 


53Axx Classical differential geometry 


53A04 Curves in Euclidean space 


Aleksandrov, A. D. (with Reshetnyak, Yu. G.) * General theory of irregular curves. 
92h:53003 

Asil, Vedat (with Aydin, Ali Pasa) The roles in curves theory of exponential mappings in 3- 
dimensional Euclidean space. 92i:53004 

Aydin, Ali Pasa see Asil, Vedat, 92i:53004 

Benko, Kornel (with Cieslak, Waldemar; Gézdz, Stanislaw; Mozgawa, Witold) On isoptic 
curves. 92f:53004 

Carfagna D’Andrea, Antonella (with Romani, Giuliano) An extension of the Fenchel 
theorem. 92j:53001 

Chen, Guo Zhi A geometric proof of the total torsion theorem for closed curves in a sphere. 
(Chinese) 92h:53004 

Cieslak, Waldemar see Benko, Kornel; et al., 92f:53004 

Fan, Hong Bing Conditions for an involute of a circle to pass two triple points. (Chinese. 
English summary) 

Géidi, Stanislaw see Benko, Kornel; et al., 92f:53004 

Hua, Xuan Ji Dual curves and line locus. (Chinese) 

Lin, Meng Lei A note on a theorem concerning the total torsion on developable surfaces. 
(Chinese) 92k:53002 

Manselli, Paolo (with Pucci, Carlo) Uniqueness results for evolutes and self-evolveats. 
(Italian. English summary) 92k:53003 

Matieva, G. Double curves of the pair (/, A2) in the Euclidean space £3. (Russian) 

Montesinos Amilibia, Angel (with Nujio Ballesteros, Juan J.) A knot without tritangent 
planes. 92b:53002 

Mozgawa, Witold see Benko, Kornel; et al., 92f:53004 

Nuio Ballesteros, Juan J. (with Romero Fuster, M. Carmen) Curves with no tritangent 
planes in space and their convex envelopes. 924:53004 

— see also Montesinos Amilibia, Angel, 92b:53002 

Ou, Ye Lin Higher-dimensional spherical curves. (Chinese. English summary) 

Pucci, Carlo see Manselli, Paolo, 92k:53003 

Reshetnyak, Yu. G. see Aleksandrov, A. D., 92h:53003 

Romani, Giuliano see Carfagna D’Andrea, Antonella, 92j:53001 

Romero Fuster, M. Carmen see Nuiio Ballesteros, Juan J., 92d:53004 

Ural, N. Champs de vecteurs non tangentiels. [Nontangent vector fields] 92h:53005 

Wegner, Bernd Self-parallel and transnormal curves. 92h:53006 

Weiner, Joel L. On Totaro’s theorem for closed space curves. 92j:53002 

(Yuzina, L. Ya.) see Aleksandrov, A. D., 92h:53003 


Items with secondary classifications in 53A04 

Abe, Kéjun On closed regular curves in Riemannian manifolds. 92g:53046 

Angenent, Sigurd Parabolic equations for curves on surfaces. II. Intersections, blow-up and 
generalized solutions. 92b:58039 

— On the formation of singularities in the curve shortening flow. 92c:58016 

Bruce, J. W. (with Romero Fuster, M. Carmen) Duality and orthogonal projections of 
curves and surfaces in Euclidean 3-space. 92k:58030 

Cieslak, Waldemar On equichordal curves. 924:52006 


53A04 


Dyn, Nira (with Levin, David; Micchelli, Charles A.) Using parameters to increase 
smoothness of curves and surfaces generated by subdivision. 92a:65050 

Farouki, Rida T. (with Neff, C. Andrew) Analytic properties of plane offset curves. 
92b:65019 

— (with Neff, C. Andrew) Algebraic properties of plane offset curves. 92b:65020 

— (with Sakkalis, Takis) Pythagorean hodographs. 92a:65063 

Guggenheimer, H. Applications of the theory of generalized differential equations. 
92m:34047 

Herrmann, Robert A. Consecutive points and nonstandard analysis. 92b:03064 

Levin, David see Dyn, Nira; et al., 922:65050 

Magnanini, Rolando On functions whose curves of steepest descent are straight lines. 
924:35021 

Micchelli, Charles A. see Dyn, Nira; et al., 92a:65050 

Morton, H.R. Trefoil knots without tritangent planes. 92e:57016 

Neff, C. Andrew see Farouki, Rida T., 92b:65019 and 92b:65020 

Ricca, Renzo L. Intrinsic equations for the kinematics of a classical vortex string in higher 
dimensions. 92g:76026 

Romero Fuster, M. Carmen see Bruce, J. W., 92k:58030 

Sakkalis, Takis see Farouki, Rida T., 92a:65063 

Schone, W. * Differentialgeometrie. (German) [Differential geometry] 92g:53001 

Tang, Dingyi Discrete Wirtinger and isoperimetric type inequalities. 92f:26028 

Wegner, Bernd Exterior parallelism for polyhedra. 92m:52034 


53A05 Surfaces in Euclidean space 


Amano, Kazuo Global isometric embedding of a Riemannian 2-manifold with nonnegative 
curvature into a Euclidean 3-space. 92k:53004 

Amur, Krishna (with Venkataramana, R. S.) Ona one parameter family of pseudo-surfaces 
of revolution. 92k:53005 

Apéry, Francois De l"homotopie RomBoy au retournement de la sphére. [From the RomBoy 
homotopy to the eversion of the sphere] 92g:53003 

Baikoussis, Christos A characteristic property of the sphere. 92e:53001 

Boehm, Wolfgang (with Hansford, Dianne) Bézier patches on quadrics. (see 92s 65029) 

Brauner, H. Die Schraubflachen und die Spiralflachen mit Bésch 
(English and Serbo-Croatian summaries) [Helicoids and spiral surfaces with lines of 
constant slope] 92e:53002 

Buchner, K. see Gerold, A., 92k:53007 

Bunke, Ulrich (with Kriele, Marcus) On square integrability of mean curvature for surfaces 
with positive Gaussian curvature. 92j:53003 

Charites, C. (with Pamfilos, P.) Surfaces with isometric geodesics. 92h:53007 

Chern, Shiing Shen Surface theory with Darboux and Bianchi. 92k:53006 

Dong, Xiao Xing see Zhou, Dao Sheng; et al., 92f:53006 

Ferreira, Cecilia A Gauss-like map associated to a surface in R3?. 92m:53002 

Francis, George K. The Etruscan Venus. 92¢:53003 

Gerold, A. (with Buchner, K.) Solitons and isometric immersions. 92k:53007 

Hansford, Dianne see Boehm, Wolfgang, (92f:65029) 

Hoy, Erich Uber Flachen mit quasikonformer GauBscher Abbildung. [On surfaces with 
ae Gauss mapping] 92e:53004 


p a, 1. Infinitesimal bendings of higher order of rotational surfaces. 








Ivanova: 
924:53005 

Khakimov, A. Kh. A model case of the generalized Christoffel problem in a three- 
dimensional Euclidean space. (Russian) 92b:53003 

Kloster, Steve see Pechlaner, Edgar, 92e:53005 

Kossowski, Marek The asymptotic blow-up of a surface in Euclidean 3-space. 92k:53008 

Kriele, Marcus see Bunke, Ulrich, 92j:53003 

Leyton, M. see Yuille, A., 92d:53006 

Miller, F. R. Characterizing principal curvature data as functions of the normal vectors and 
determining the surfaces. 92g:53004 

Moskalenko, N. I. On the Weingarten surfaces V, C E,. (Russian) 

Muracchini, Luigi Local differential properties of algebraic surfaces. (see 92i:32002) 

Pamfilos, P. see Charitos, C., 92h:53007 

Papantoniou, B. J. Classification of normal rectilinear congruences with respect to the 
surface of reference. 92i:53005 

Pechlaner, Edgar (with Kloster, Steve) Force on self-straining bodies in some Riemannian 
spaces. 92e:53005 

Ross, Marty The end behavior of complete 2-dimensional area-minimizing mod 2 surfaces 
in R". 92i:53006 

Rozendorn, E.R. Some problems in mapping theory with an application to the study 
of surfaces of negative curvature under reduced conditions of regularity. (Russian) 
92b:53004 

Stephanidis, N. K. Uber die dritte quadratische Differentialform eines Normalensystems. 
[On the third quadratic differential form of a normal system] 92f:53005 

Tang, Guo Xiong see Weng, Miao Xian; et al. 

Venkataramana, R.S. see Amur, Krishna, 92k:53005 

Weng, Miao Xian (with Tang, Guo Xiong; Zhou, Dao Sheng) The existence problem for 
conical tangent cones of second-order surfaces. (Chinese. English summary) 

Yu, Chun Xiao The quasi-osculating paraboloid at planar points of surfaces. (Chinese. 
English summary) 92m:53003 

Yuille, A. (with Leyton, M.) 3D symmetry-curvature duality theorems. 92d:53006 

Zhou, Dao Sheng (with Dong, Xiao Xing) The polar equivalence problem for a base sphere 
on a surface of second order. (Chinese. English summary) 92£:53006 

— see also Weng, Miao Xian; et al. 


Items with secondary classifications in 53A05 


Aminov, Yu. A. * Teomerpua Bexropxoro nous. (Russian) [Geometry of a vector field] 
92m:53004 


Antonino, José A. The Picard theorem on a surface. (Spanish. English summary) (see 
92g:00024) 

Bertsch, Michiel (with Dal Passo, Roberta) A parabolic equation with a mean-curvature 
type operator. (see 92m:35003) 


DIFFERENTIAL GEOMETRY 


1992 878 


Béhme, R. Surfaces of constant Gauss curvature and of arbitrary genus. (French summary) 
92d:53058 

Bruce, J. W. (with Romero Fuster, M. Carmen) Duality and orthogonal projections of 
curves and surfaces in Euclidean 3-space. 92k:58030 

Chen, Bang-Yen Some open problems and conjectures on submanifolds of finite type. 
92m:53091 

Dal Passo, Roberta see Bertsch, Michiel, (92m:35003) 

Ferrer, M. V. (with Vidal, Antonio) A theorem on the existence of surfaces for the 
differential equation x’(t) = f(t, x(t)). (Spanish. English summary) (see 92m:00049) 

Gutiérrez, Carlos (with Sotomayor, Jorge) Periodic lines of curvature bifurcating from 
Darbouxian umbilical connections. 92e:58113 

Hyde, S. T. Curvature and the global structure of interfaces in surfact 
(French summary) 92a:82124 

Illert, C. The new physics of ultrathin elastic conoids. 92b:73011 

Jacobowitz, Howard Two notes on conformal geometry. 92h:53017 

Kudrik, P.I. A boundary value p for x?-analytic functions. (Russian. Ukrainian 
summary) 92c:30052 

Levitskii, B. E. Estimates for moduli of families of surfaces that envelop obstacles. 
(Russian) 92h:49048 

Liang, You Dong Geometric continuity for curves and surfaces. (Chinese) 92¢:65018 

— (with Ye, Xiu Zi) Geometric continuity between curves and its applications. 92h:68090 

Lin, Meng Lei A note on a theorem concerning the total torsion on developable surfaces. 
(Chinese) 92k:53002 

Liseikin, V. D. On the variational method for constructing adaptive grids on n-dimensional 
surfaces. (Russian) 

Moser, Jan The Riemann hypothesis and the area of the Z-surface of revolution. (Russian. 
English and Slovak summaries) 92¢:11085 

Rabelo, Mauro L. (with Tenenblat, Keti) A classification of pseudospherical surface 
equations of type u; = Uxxx + G(u, Ux, Uxx). 92m:58068 

Romero Fuster, M. Carmen see Bruce, J. W., 92k:58030 

Rozendorn, E.R. Surfaces of negative curvature. (Russian) 92a:53087 

Schine, W. * Differentialgeometrie. (German) [Differential geometry] 92g:53001 

Sotomayor, Jorge see Gutiérrez, Carlos, 92e:58113 

Stephanidis, N. K. Uber die III-Hauptflachen eines Strahlensystems. [On the III-principal 
surfaces of a ray system] 92e:53020 

Tenenblat, Keti see Rabelo, Mauro L., 92m:58068 

Thornley, Gillian Differential geometry—connections. 

Ural, N. Champs de vecteurs non tangentiels. [Nontangent vector fields] 92h:53005 

Vidal, Antonio see Ferrer, M. V., (92m:00049) 

Ye, Xiu Zi see Liang, You Dong, 92h:68090 





-water sy 





53A07 Higher-dimension and -codimension surfaces in Euclidean 
n-space 


Aleksandrov, V. A. Embedding of locally Euclidean and conformally Euclidean metrics. 
(Russian) 92k:53009 

Aminov, Yu. A. * Teomerpua BexTopxoro noms. (Russian) [Geometry of a vector field] 
92m:53004 

— Functional-degenerate immersions of the Lobachevskii plane in E*. (Russian) 92¢:53006 

Andrews, Ben Flow of hypersurfaces by curvature functions. 92k:53010 

Bazilevich, L. E. On the curvature of sets. (Russian) 92d:53007 

Borisenko, A. A. (with Nikolaevskii, Yu. A.) Surfaces with maximal curvature of the 
Grassmann transform. (Russian) 92a:53001 

Delanoé, Philippe L’opérateur de Monge-Ampére réel et la géométrie des sous-variétés. [The 
real Monge-Ampére equation and the geometry of submanifolds] 92f:53007 

Deshmukh, Sharief A note on hypersurfaces in a Euclidean space. 92a:53002 

— Acharacterization of spheres in R*. 92i:53007 

Dierkes, Ulrich Maximum principles and nonexistence results for minimal submanifolds. 
92b:53005 

Dogaru, Oltin see Udriste, Constantin, 92m:53006 

Drucker, Daniel S. Reflective Euclidean hypersurfaces. Correction to: “Euclidean hyper- 
surfaces with reflection properties” [Geom. Dedicata 33 (1990), no. 3, 325-329; MR 
91g:53008]. 92g:53005a 

— see also Wegner, Bernd, 92g:53005b 

Dudkin, A. A. The structure of a conic hypersurface in E* with a locally one-to-one normal 
mapping. (Russian) (see 92m:00027) 

Ecker, Klaus Local techniques for mean curvature flow. 92m:53005 

Gritsans, A.S. On a hyperspherical mapping and the Peterson transformation of the 
surface V, C E, by means of the medial normal basis vector. (Russian. English summary) 
92f:53008 

Hollard, Antoine Plongements isométriques locaux de variétés proprement riemanniennes 
de dimension 3 dans un espace plat de dimension 4. Hypersurfaces rigides. (English 
summary) [Local isometric embeddings of three-dimensional properly Riemannian 
manifolds in a four-dimensional flat space. Rigid hypersurfaces] 92k:53011 

Kim, Young Ho Characterization of generalized surfaces of revolution. 92f:53009 

Leite, Maria Luiza An example of a triply periodic complete embedded scalar-flat 
hypersurface of R*. 92d:53008 

Lumiste, Ulo Irreducible normally flat semisymmetric submanifolds. II. (Russian) 
92i:53008 

Nikolaevskii, Yu. A. see Borisenko, A. A., 92a:53001 

Rylov, A. A. Some characteristics of the graph of a mapping. (Russian) 92a:53003 

Sergienko, L. N. Lines of curvature of a two-dimensional nonlinear nonholonomic 
manifold in E4. (Russian) 92a:53004 

Udriste, Constantin (with Dogaru, Oltin) Convex nonholonomic hypersurfaces. 92m:53006 

Uysal, S. Aynur Equi-conjugate pair of curves in a hypersurface of E,,,. 92h:53008 

Vantura, Zdenék Zur Differentialgeometrie der n-dimensionalen Kugel- und Linienman- 
nigfaltigkeiten im (nm + 1)-dimensionalen euklidischen Raum. (Czech summary) [On 
the differential geometry of the n-dimensional sphere and line manifolds in the (n + 1)- 
dimensional Euclidean space] 92:53010 





879 1992 


Wang, Yin He Compact submanifolds with constant mean curvature in R"*?. (Chinese. 
English summary) 92k:53012 

Wegner, Bernd Comment on: “Euclidean hypersurfaces with reflection properties” [Geom. 
Dedicata 33 (1990), no. 3, 325-329; MR 91g:53008] by D. S. Drucker. 92g:53005b 

West, Alan Isoparametric systems. 92f:53011 


Items with secondary classifications in 53A07 

Agaoka, Yoshio Generalized Gauss equations. 92d:53045 

Evans, L. C. (with Spruck, Joel) Motion of level sets by mean curvature. II. 92f:58050 

Flegmann, A. M. Obstructions to the existence of parallels to a submanifold of Euclidean 
space. (French summary) 92h:57045 

Hasanis, Thomas (with Koutroufiotis, Dimitri) Hypersurfaces with a constant support 
function. 92g:53050 

Ivochkina, N. M. The Dirichlet problem for the curvature equation of order m. (Russian) 
92e:35072 

Kilp, Helgi The differential-geometric structure of a hyperbolic system of first-order 
nonlinear equations with two independent variables. (Russian) 92d:35201 

Koutroufiotis, Dimitri see Hasanis, Thomas, 92g:53050 

Lumiste, Ulo (with Valias, M.) Three-dimensional Dupin hypersurfaces with holonomic 
net of curvature lines and one zero principal curvature. (Russian summary) 92m:53033 

Nikolaevskii, Yu. A. Surfaces for which the curvature of the Grassmannian image is at least 
1. (Russian) 92a:53014 

Noakes, J. Lyle Generalised umbilics on embedded spheres. 92f:53065 

Noronha, Maria Helena A note on the first Betti number of submanifolds with nonnegative 
Ricci curvature in codimension two. 92h:53050 

Palmer, Bennett Stability of minimal hypersurfaces. 92m:58023 

Petrovi¢-TorgaSev, Miroslava Curvature conditions on hypersurfaces of revolution. (see 
91e:53002) 

Spruck, Joel see Evans, L. C., 92f:58050 

Valjas, M. see Lumiste, Ulo, 92m:53033 


53A10 Minimal surfaces, surfaces with prescribed mean 
curvature [see also 49Q05, 49Q10, 53C42] 


Amur, Krishna (with Venkataramana, R. S.) On a foliated and parametric minimal 
hypersurface in Euclidean space. 92i:53009 

Bobenko, A. I. Integrable surfaces. (Russian) 92d:53009 

Brito, F.G. B. (with Sa Earp, Ricardo) Geometric configurations of constant mean 
curvature surfaces with planar boundary. 92h:53009 

Callahan, Michael J. (with Hoffman, David A.; Meeks, William H., III) The structure of 
singly-periodic minimal surfaces. 92a:53005 

— From sketches to equations to pictures: minimal surfaces and computer graphics. 
92e:53007 

Chen, Wen Xiong (with Li, Congming) Prescribing Gaussian curvatures on surfaces with 
conical singularities. 92j:53004 

Choe, Jaigyoung The isoperimetric inequality for a minimal surface with radially connected 
boundary. 92g:53006 

Cimmino, Gianfranco A conjecture on minimal surfaces. (Italian summary) 92k:53013 

Cliborn, James H. (with Jordan, Blake) Minimal surfaces. 

Collin, Pascal (with Krust, R.) Le probléme de Dirichlet pour l’équation des surfaces 
minimales sur des domaines non bornés. (English summary) [The Dirichlet problem for 
the minimal surface equation in unbounded domains] 92m:53007 

Costa, C. J. Classification of complete minimal surfaces in R? with total curvature 127. 
92h:53010 

Crow, Gregory D. On a conjecture of Nitsche. 92g:53007 

Dillen, Franki (with Pas, Johan; Verstraelen, Leopold) On the Gauss map of surfaces of 
revolution. 92a:53006 

Doong, Shing H. (with Roussos, Ioannis M.) Isometric immersions of tori into R? with 
given mean curvature. 92m:53009 

Dziuk, Gerhard (with Kawohl, Bernhard) On rotationally symmetric mean curvature flow. 
92h:53011 

Ecker, Klaus (with Huisken, Gerhard) Interior estimates for hypersurfaces moving by mean 
curvature. 92i:53010 

Erdogan, Mehmet (with Itoh, Takehiro) Complete surfaces in E? with constant mean 
curvature. 92b:53006 

Fang, Yi (with Meeks, William H., III) Some global properties of complete minimal 
surfaces of finite topology in R?. 92g:53008 

Ferrandez, Angel (with Lucas, Pascual) On surfaces in the 3-dimensional Lorentz- 
Minkowski space. 92k:53014 

Fomenko, A. T. (with Tuzhilin, Aleksei Avgustinovich) * Elements of the geometry and 
topology of minimal surfaces in three-dimensional space. 92m:53010 

Frohman, Charles The topological uniqueness of triply periodic minimal surfaces in R°. 
92e:53008 

Fuchs, Martin? Hypersurfaces of prescribed mean curvature enclosing a given body. 
92m:53011 

Fujimoto, Hirotaka Modified defect relations for the Gauss map of minimal surfaces. III. 
92k:53015 

Gackstatter, F. H. Hopf’s quadratic differential and a Weierstrass formula for general 
surfaces and surfaces of constant mean curvature. 92a:53007 

Hardt, R. (with Rosenberg, Harold) Open book structures and unicity of minimal 
submanifolds. (French summary) 92e:53009 

Hoffman, David A. Natural minimal surfaces. 92d:53010 

— (with Meeks, William H., III) Minimal surfaces based on the catenoid. 92c:53002 

— (with Meeks, William H., III) Limits of minimal surfaces and Scherk’s fifth surface. 
92a:53008 

— (with Meeks, William H., III) The strong halfspace theorem for minimal surfaces. 
92e:53010 

— see also Callahan, Michael J.; et al., 92a:53005 

Hoy, Erich Zum Bernsteinschen Satz fiir Quasiminimalflachen. (English summary) [On 
Bernstein’s theorem for quasiminimal surfaces] 92k:53016 


53A Classical differential geometry 


53A10 


Huang, Wu Hsiung Superharmonicity of curvatures for surfaces of constant mean 
curvature. 92k:53017 

Huisken, Gerhard see Ecker, Klaus, 92i:53010 

Hutchinson, John E. Computing conformal maps and minimal surfaces. 92m:53012 

Hyde, S. T. see Lidin, S.; et al., 92a:53010 

Ishihara, Toru Complete nonorientable minimal surfaces in R°. 92m:53013 

Itoh, Takehiro see Erdogan, Mehmet, 92b:53006 

Ivanov, A. O. Sufficient condition for the stability of invariant cones of arbitrary codimen- 
sion in Euclidean space R". (Russian) 92f:53012 

Jordan, Blake see Cliborn, James H. 

Jun, Sook Heui Curvature estimates for minimal surfaces. 92e:53011 

Kao, Shu-Jung On values of Gauss maps of complete minimal surfaces on annular ends. 
92k:53018 

Kawohl, Bernhard see Dziuk, Gerhard, 92h:53011 

Klyachin, V. A. (with Miklyukov, V.M.) Maximal hypersurfaces of tubular type in 
Minkowski space. (Russian) 92k:53019 

Kokarev, V. N. Conditionally minimal surfaces with respect to nonregular spheres. 
(Russian) 92a:53009 

Krust, R. see Collin, Pascal, 92m:53007 

Li, Congming see Chen, Wen Xiong, 92j:53004 

Lidin, S. (with Hyde, S. T.; Ninham, B. W.) Exact construction of periodic minimal 
surfaces: the I-WP surface and its isometries. (French summary) 92a:53010 

Liu, Hui Li Minimal time-like surfaces in three-dimensional Minkowski space. (Chinese. 
English summary) 92k:53020 

Lucas, Pascual see Ferrandez, Angel, 92k:53014 

Meeks, William H., III The theory of triply periodic minimal surfaces. 92e:53012 

— (with White, Brian Cabell) Minimal surfaces bounded by convex curves in parallel planes. 
92e:53013 

— see also Callahan, Michael J.; et al., 92a:53005; Hoffman, David A., 92a:53008; 92c:53002; 
92e:53010 and Fang, Yi, 92g:53008 

Miklyukov, V. M. see Klyachin, V. A., 92k:53019 

Milnor, Tilla Klotz Entire timelike minimal surfaces in E*'. 92b:53007 

Mata, Masanori On minimal curves in complex Euclidean spaces. 

Ninham, B. W. see Lidin, S.; et al., 92a:53010 

Pas, Johan see Dillen, Franki; et al., 92a:53006 

Polthier, Konrad New periodic minimal surfaces in H>. 92k:53021 

(Primrose, E. J. F.) see Fomenko, A. T., 92m:53010 

Rosenberg, Harold see Sa Earp, Ricardo, 92c:53003 and Hardt, R., 92e:53009 

Ross, Marty Complete nonorientable minimal surfaces in R?. 92k:53022 

Roussos, Ioannis M. see Doong, Shing H., 92m:53009 

Ru, Min On the Gauss map of minimal surfaces with finite total curvature. 92k:53023 

Sa Earp, Ricardo (with Rosenberg, Harold) Some structure theorems for complete constant 
mean curvature surfaces with boundary a convex curve. 92c:53003 

— see also Brito, F. G. B., 92h:53009 

Sakaki, Makoto Stability of surfaces with constant mean curvature in 3-dimensional 
Riemannian manifolds. 92c:53004 

Sauvigny, Friedrich On immersions of constant mean curvature: compactness results and 
finiteness theorems for Plateau’s problem. 92e:53014 

— Anew proof of the gradient estimate for graphs of prescribed mean curvature. 92m:53014 

Smale, Nathan An equivariant construction of minimal surfaces with nontrivial singular 
sets. 92i:53011 

Taylor, Jean E. On the global structure of crystalline surfaces. 92g:53009 

Tomi, Friedrich Plateau’s problem for minimal surfaces with a catenoidal end. 92m:53008 

Toubiana, Eric Géométrie des surfaces minimales. [Geometry of minimal surfaces] (see 
92b:53001) 

Tuzhilin, Aleksei Avgustinovich see Fomenko, A. T., 92m:53010 

Umehara, Masaaki (with Yamada, Kotaro) A deformation of tori with constant mean 
curvature in R? to those in other space forms. 92f:53013 

Venkataramana, R.S. see Amur, Krishna, 92i:53009 

Verstraelen, Leopold see Dillen, Franki; et al., 92a:53006 

Wang, Xin Min (with Xu, Zhi Cai) Minimal hypersurfaces of revolution in hyperbolic 
spaces. (Chinese. English summary) 92h:53012 

Wente, Henry C. A note on the stability theorem of J. L. Barbosa and M. Do Carmo for 
closed surfaces of constant mean curvature. 92g:53010 

White, Brian Cabell see Meeks, William H., ITI, 92e:53013 

Xu, Zhi Cai see Wang, Xin Min; et al., 92h:53012 

Yamada, Kotaro see Umehara, Masaaki, 92f:53013 

Yamashita, Shinji Local minima of the Gauss curvature of a minimal surface. 92h:53013 

Yang, Kichoon Minimal immersions of punctured compact Riemann surfaces in R°. 
92g:53011 

Ye, Lin Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. 
(Chinese. English summary) 92m:53015 

Zeren Akgiin, Leyla On the isoterm asymptotic surfaces. (Turkish summary) 92i:53012 


Items with secondary classifications in 53A10 

Bellettini, Giovanni (with Paolini, Maurizio; Verdi, Claudio) Front-tracking and variational 
methods to approximate interfaces with prescribed mean curvature. (see 92b:65009) 

Borisenko, A. A. (with Nikolaevskii, Yu. A.) Surfaces with maximal curvature of the 
Grassmann transform. (Russian) 92a:53001 

Borisovich, A. Yu. Lyapunov-Schmidt method and types of singularities of critical points 
of key function in the problem of bifurcations of minimal surfaces. II [in Topological 
and geometric methods of analysis (Russian), 138-141, Voronezh. Gos. Univ., Voronezh, 
1989; MR 91¢:58035]. (see 92b:58001) 

Brakke, Kenneth A. Minimal surfaces, corners, and wires. 92k:49083 

Chéng, Kuo Shun (with Ni, Wei-Ming) On the structure of the conformal Gaussian 
curvature equation on R?. 92f:35061 

Collin, Pascal Deux exemples de graphes de courbure moyenne constante sur une bande de 
R?. (English summary) [Two examples of constant mean curvature surfaces on a strip in 
R?] 92i:58041 

Concus, Paul (with Finn, Robert) Exotic containers for capillary surfaces. 92c:76014 





53A10 


Dierkes, Ulrich Maximum principles and nonexistence results for minimal submanifolds. 
92b:53005 

Dubois-Violette, E. see Pansu, B., 92b:82124 

Duzaar, Frank (with Fuchs, Martin?) Einige Bemerkungen iiber die Existenz orientierter 
Mannigfaltigkeiten mit vorgeschriebener mittlerer Kriimmungsform. (English summary) 
[Some remarks on the existence of oriented manifolds with prescribed mean curvature 
form] 92m:49074 

Evans, L.C. (with Spruck, Joel) Motion of level sets by mean curvature. I. 92h:35097 

Finn, Robert see Concus, Paul, 92c:76014 

Fomenko, A. T. * The Plateau problem. Part II. 92¢:01004 

Fuchs, Martin? see Duzaar, Frank, 92m:49074 

Giga, Yoshikazu (with Sato, Moto-Hiko) Generalized interface evolution with the 
Neumann boundary condition. 92k:35121 

Hass, Joel Intersections of least area surfaces. 92j:53027 

Hildebrandt, Stefan (with Sauvigny, Friedrich) Embeddedness and uniqueness of minimal 
surfaces solving a partially free boundary value problem. 92k:58056 

Hong, Jia Xing Cauchy problems for degenerate hyperbolic Monge-Ampére equations and 
some applications. 924:35205 

Horsin-Molinaro, Thierry Régularité a la frontiére pour l’évolution des surfaces 4 courbure 
moyenne prescrite. (English summary) [Boundary regularity for the evolution of surfaces 
with prescribed mean curvature] 92h:35111 

Le Hong Van Relative calibrations and the problem of stability of minimal surfaces [in 
Topological and geometric methods of analysis (Russian), 122-136, Voronezh. Gos. Univ., 
Voronezh, 1989; MR 91d:58046]. (see 92b:58001) 

Lin, Fang-Hua Estimates for surfaces which are stationary for an elliptic parametric 
integral. 92e:58047 

Martinez, Antonio (with Milan, F.) Affine isoperimetric problems and surfaces with 
constant affine mean curvature. 92m:53019 

Milan, F. see Martinez, Antonio, 92m:53019 

Nakauchi, Nobumitsu A remark on free boundary Plateau problem for surfaces of general 
topological type. 92b:58045 

Ni, Wei-Ming see Chéng, Kuo Shun, 92£:35061 

Nikolaevskii, Yu. A. see Borisenko, A. A., 92a:53001 

Pabel, Helmut Translationsflachen in der aquiaffinen Differentialgeometrie. (English 
summary) [Surfaces of translation in equiaffine differential geometry] 92b:53008 

Pan, Xing Bin Solutions of elliptic equations Au + K(x)e™ = f(x). 92h:35073 

Pansu, B. (with Dubois-Violette, E.) Blue phases: experimental survey and geometrical 
approach. (French summary) 92b:82124 

Paolini, Maurizio see Bellettini, Giovanni; et al., (92b:65009) 

Papantoniou, B. J. Classification of normal rectilinear congruences with respect to the 
surface of reference. 92i:53005 

Sato, Moto-Hiko see Giga, Yoshikazu, 92k:35121 

Sauvigny, Friedrich see Hildebrandt, Stefan, 92k:58056 

Schiiffler, K. Minimalflachen auf Mébius-Bandern. (English and Russian summaries) 
[Minimal surfaces on Mobius strips] 92h:58046 

Shavokhina, N.S. Minimal surfaces and nonlinear electrodynamics. 92e:83041 

Shibata, Keiichi On the mean curvature of surface with boundary. 92a:58030 

Spruck, Joel see Evans, L. C., 92h:35097 

Tabarrok, B. (with Xiong, Y.) Some variational formulations for minimum surfaces. 
92i:58042 

Taylor, Jean E. Crystals, in equilibrium and otherwise. 92c¢:58019 

Tomi, Friedrich An introduction to Plateau’s problem. 92a:58031 

Urbas, John I. E. Boundary regularity for solutions of the equation of prescribed Gauss 
curvature. 92k:35094 

Verdi, Claudio see Bellettini, Giovanni; et al., (92b:65009) 

Visintin, Augusto Models of pattern formation. (French summary) 92a:49072 

Wang, Wen Tao Stability of hypersurfaces with constant mean curvature. (Chinese) 
92£:58040 

White, Brian Cabell Existence of smooth embedded surfaces of prescribed genus that 
minimize parametric even elliptic functionals on 3-manifolds. 92e:58048 

Xiong, Y. see Tabarrok, B., 92i:58042 

Ye, Rugang How to blow infinitely large soap bubbles with a fixed boundary. (French 
summary) 92b:58046 


53A15 Affine differential geometry 


Deszcz, Ryszard Pseudosymmetry curvature conditions imposed on the shape operators of 
hypersurfaces in the affine space. 92k:53024 

Dillen, Franki (with Vrancken, Luc) 3-dimensional affine hypersurfaces in R* with parallel 
cubic form. 92m:53016 

Isabekov, M. On a classification of n-dimensional surfaces S, in A,,2 framed by a field of 
nontangent hyperplanes. (Russian) (see 92m:54001) 

Iviev, E. T. On the affine fibrations Aj, ,,,(t <n, t < m). (Russian) 

Kozlowski, Michael The Monge-Ampére equation in affine differential geometry. 92a:53011 

— One parameter families of improper affine spheres. 92a:53012 

Kurose, Takashi On the Minkowski problem in affine geometry. 92k:53025 

Li, An Min Calabi conjecture on hyperbolic affine hyperspheres. II. 92e:53015 

Magid, Martin A. Timelike Thomsen surfaces. 92m:53017 

Martinez, Antonio (with Milan, F.) On the affine Bernstein problem. 92¢:53016 

— (with Milan, F.) On affine-maximal ruled surfaces. 92m:53018 

— (with Milan, F.) Affine isoperimetric problems and surfaces with constant affine mean 
curvature. 92m:53019 

Milan, F. see Martinez, Antonio, 92e:53016; 92m:53018 and 92m:53019 

Nomizu, Katsumi (with Sasaki, Takeshi) A new model of unimodular-affinely homogeneous 
surfaces. 92h:53014 

— (with Sasaki, Takeshi) On certain quartic forms for affine surfaces. 92k:53026 

Pabel, Helmut Translationsflachen in der aquiaffinen Differentialgeometrie. (English 
summary) [Surfaces of translation in equiaffine differential geometry] 92b:53008 

Rozendorn, E. R. Networks of lines that depend on a parameter, and sufficient conditions 
for their convergence. (Russian) 92h:53015 


DIFFERENTIAL GEOMETRY 


1992 880 


Samelson, Sandra Lee Global Tchebychev nets on complete two-dimensional Riemannian 
surfaces. 92e:53017 

— Tchebychev nets on spheres. 92e:53018 

Sasaki, Takeshi see Nomizu, Katsumi, 92h:53014 and 92k:53026 

Verstraelen, Leopold On submanifolds of finite Chen type and of restricted type. 
92m:53020 

Vrancken, Luc Affine quasi-umbilical hypersurfaces which are flat with respect to the affine 
metric. 92k:53027 

— Affine surfaces with higher order parallel cubic form. 92a:53013 

— see also Dillen, Franki, 92m:53016 

Zharikova, L. A. On the differential geometry of congruences of parabolas in an equiaffine 
space. (Russian) 


Items with secondary classifications in 53A15 


Amisheva, N. V. Framing a class of tangentially degenerate surfaces. (Russian) 924:53013 

Delanoé, Philippe L’opérateur de Monge-Ampére réel et la géométrie des sous-variétés. [The 
real Monge-Ampére equation and the geometry of submanifolds] 92f:53007 

Dillen, Franki Polynomials with constant Hessian determinant. 92b:13011 

Leichtweiss, Kurt Bemerkungen zur Monotonie der Affinoberflache von Eihyperflachen. 
[Remarks on the monotonicity of the affine surface area of ovoidal hypersurfaces] 
92j:52005 

Li, An Min see Vrancken, Luc; et al., 92m:53099 

Magid, Martin A. (with Ryan, Patrick J.) Affine 3-spheres with constant affine curvature. 
92£:53063 

Muracchini, Luigi Local differential properties of algebraic surfaces. (see 92i:32002) 

Ryan, Patrick J. see Magid, Martin A., 92f:53063 

Simon, Udo see Vrancken, Luc; et al., 92m:53099 

Sotkov, Galen (with Stanishkov, Marian) Affine geometry and W,,-gravities. 92i:81310 

Staishene, Ya. Z. Geometry of nonholonomic hypercomplexes of a multidimensional affine 
space. III. (Russian. English and Lithuanian summaries) 92c:53007 

Stanishkov, Marian see Sotkov, Galen, 92i:81310 

Vrancken, Luc (with Li, An Min; Simon, Udo) Affine spheres with constant affine sectional 
curvature. 92m:53099 

Yablokov, D. M. Motions in a space of pairs of linear elements of affine connection. I. 
(Russian) 92j:53007a 


53A17 Kinematics 


Husty, Manfred Zur Kinematik der ebenen aquiformen isotropen Geometrie. (English and 
Serbo-Croatian summaries) [On the kinematics of plane conformal isotropic geometry] 
92e:53019 

— (with Nagy, Péter T.) Dreidimensionale Lie Gruppen und ebene Kinematik. (English 
summary) [Three-dimensional Lie groups and plane kinematics] 92d:53011 

Ibragimova, R. Kh. Motions in tangent bundles with a special metric. (Russian) (see 
91g:53002) 

Komarnitskii, Ya. I. Geometric properties of higher-order accelerations for the 
translational-rotational motion of a pseudo-Euclidean plane. (Russian) 924:53012 

Krutov, Aleksei V. Some concepts and relations in kinematic geometry. (Russian. German 
summary) 92b:53009 

Nagy, Péter T. see Husty, Manfred, 92d:53011 

Pottmann, Helmut Globale Eigenschaften spharischer Zwanglaufe. (English and Serbo- 
Croatian summaries) [Global properties of spherical one-parameter motions] 92i:53013 

Réschel, Otto Zur projektiven Kinematik von Raumkurvenpaaren. (English and Serbo- 
Croatian summaries) [On the projective kinematics of pairs of space curves] 92b:53010 

— Darboux-Zwanglaufe und aquiforme Kinematik. [Darboux constrained motions and 
equiformal kinematics] 92h:53016 

Wohlhart, K. Der homogene Paralleltrieb-Mechanismus. [The homogeneous parallel drive 
mechanism] 92m:53021 


Items with secondary classifications in 53A17 


Faugeras, Olivier Sur le mouvement des courbes tridimensionnelles et sa relation avec le flot 
optique. (English summary) [On the motion of 3-dimensional curves and its relationship 
with optical flow] 92¢:68193 

Heilig, U. (with Pfister, Herbert) Characterization of free fall paths by a global or local 
Desargues property. 92h:83008 

Husty, Manfred (with Nagy, Péter T.) Uber die Blaschkesche kovariante Ableitung und die 
kinematische Abbildung. (English summary) [On the Blaschke covariant derivative and 
the kinematic mapping] 92f:53017 

Jank, Walther Kinematische Betrachtungen iiber Kaustiken ebener Kurven. (English 
and Serbo-Croatian summaries) [Kinematic reflections on caustics of plane curves] 
92d:58020 

Nagy, Péter T. see Husty, Manfred, 92f:53017 

Pfister, Herbert see Heilig, U., 92h:83008 

Stachel, Hellmuth Zwei bemerkenswerte bewegliche Strukturen. (English summary) [Two 
remarkable movable structures] 92m:52050 

Yablokov, D. M. Motions in the space of pairs of linear elements of affine connection. II. 
(Russian) 92j:53007b 


53A20 Projective differential geometry 


Amisheva, N. V. Framing a class of tangentially degenerate surfaces. (Russian) 92d:53013 

Boguslavskaya, T. M. (with Polovtseva, M. A.; Timoshenko, T. A.) Invariant Riemannian 
and pseudo-Riemannian metrics in manifolds of images of cosymmetries in projective 
spaces. (Russian) 92f:53014 

Bubyakin, I. V. Some properties of five-dimensional complexes of two-dimensional planes 
in the projective space P>. (Russian) 

— On the geometry of five-dimensional complexes of two-dimensional planes in a projective 
space. (Russian) 92i:53014 

Dulalaeva, T. A. A pair of hyperdistributions in a projective space. (Russian) 





881 1992 


Khudenko, V. N. On focal images of manifolds of conics in a four-dimensional projective 
space. (Russian) 

Kireeva, S. V. On a class of mappings in P,. (Russian) 

Malakhovskii, N. V. Normalization of projective spaces and characteristic numbers 
generated by a family of collineations. (Russian) 

Neifel’d, E.G. Normalization of complex Grassmannians and quadrics. (Russian) 
92c:53005 

Nomizu, Katsumi (with Sasaki, Takeshi) On the classification of projectively homogeneous 
surfaces. 92m:53022 

Perelomova, N. N. (with Shirokov, A. P.) Second-order tangent bundles of the projective 
line, and Lobachevskii geometry. (Russian) 92c:53006 

Polovtseva, M. A. see Boguslavskaya, T. M.; et al., 92£:53014 

Popov, Yu. I. %-distributions of a projective space. (Russian) 

Sasaki, Takeshi see Nomizu, Katsumi, 92m:53022 

Shevchenko, Yu. I. A fundamental problem of the projective-differential geometry of a 
surface. (Russian) 92i:53015 

Shirokov, A. P. see Perelomova, N. N., 92c:53006 

Timoshenko, T. A. see Boguslavskaya, T. M.; et al., 92f:53014 


Items with secondary classifications in 53A20 

Maybank, S. J. The projective geometry of ambiguous surfaces. 92e:68203 

Muracchini, Luigi Local differential properties of algebraic surfaces. (see 92i:32002) 

Nobeling, Georg Beispiele zur ordnungsg ischen Scheiteltheorie. [Examples on the 
order-geometric vertex theory] 92h:53085 

Réschel, Otto Zur projektiven Kinematik von Raumkurvenpaaren. (English and Serbo- 
Croatian summaries) [On the projective kinematics of pairs of space curves] 92b:53010 

Zeren Akgiin, Leyla On the isoterm asymptotic surfaces. (Turkish summary) 92i:53012 





53A25 Differential line geometry 


Abdel-All, N. H. Klein correspondences of a class of line complexes in elliptic spaces. 
92d:53014 

— A geometrical interpretation of fundamental differential invariants of line manifolds in 
Galilean space. 92d:53015 

— Classification of line manifolds in an Appell 3-space. 92m:53023 

Giirsoy, Osman On the integral invariants of a closed ruled surface. 92b:53011 

Kamenarovi¢, Ivan Lineare Geradenkomplexe im Galileischen Raum G3. [Linear line 
complexes in Galilean space G3] 92b:53012 

Koneva, N. P. Darboux invariants of the Laplace transforms of normal congruences. 
(Russian. Ukrainian summary) 92m:53024 

Korsakova, L.G. A congruence of conic pairs with special properties of associated surfaces. 
(Russian) 

Nikolaevskii, Yu. A. Surfaces for which the curvature of the Grassmannian image is at least 
1.(Russian) 92a:53014 

Redozubova, O.S. Pairs T of congruences with a given distribution of the congruence of 
common perpendiculars. (Russian) 

Réschel, Otto Gewindekurven auf Regelflachen. (English and Serbo-Croatian summaries) 
[Curves of linear complexes on ruled surfaces] 92f:53015 

Staishene, Ya. Z. Geometry of nonholonomic hypercomplexes of a multidimensional affine 
space. III. (Russian. English and Lithuanian summaries) 92c:53007 

Stamatakis, Stylianos S. Einige Resultate iiber die III]-Hauptflachen eines Strahlensystems. 
(English summary) [Some results on the III-principal surfaces of a system of rays] 
92i:53016 

Stephanidis, N. K. Uber die III-Hauptflachen eines Strahlensystems. [On the III-principal 
surfaces of a ray system] 92e:53020 


Items with secondary classifications in 53A25 

Dillen, Franki Ruled submanifolds of finite type. 92f:53068 

Norden, A. P. Concomitant complex structures of a ruled space. (Russian) 92e:53021 

Papantoniou, B. J. Classification of normal rectilinear congruences with respect to the 
surface of reference. 92i:53005 

Sergienko, L. N. Lines of curvature of a two-dimensional nonlinear nonholonomic 
manifold in E4. (Russian) 92a:53004 


53A30 Conformal differential geometry 


Beltagy, M. A study of geometric deformations. (Arabic summary) 

Chéng, Kuo Shun (with Ni, Wei-Ming) On the structure of the conformal Gaussian 
curvature equation on R?. II. 92i:53017 

Jacobowitz, Howard Two notes on conformal geometry. 92h:53017 

Ni, Wei-Ming see Chéng, Kuo Shun, 92i:53017 

Osgood, Brad (with Stowe, Dennis) A generalization of Nehari’s univalence criterion. 
92a:53015 

Stowe, Dennis see Osgood, Brad, 92a:53015 

Sultanov, B. Yu. On an equality for some conformal invariants on Riemannian manifolds. 
(Russian) 92k:53028 

Zamorzaev, A.M. Some properties of multidimensional groups of conformal symmetry. 
(Russian) 92a:53016 


Items with secondary classifications in 53A30 

Aleksandrov, V. A. Embedding of locally Euclidean and conformally Euclidean metrics. 
(Russian) 92k:53009 

Apanasov, B. N. Kobayashi conformal metric on manifolds, Chern-Simons and n- 
invariants. 92f:58027 

— Nonstandard uniformized conformal structures on hyperbolic manifolds. 92d:57030 

— Deformations of conformal structures on hyperbolic manifolds. 92k:57042 

Bailey, Toby N. Complexified conformal almost-Hermitian structures and the conformally 
invariant eth and thorn operators. 92¢:83040 

Baston, Robert J. (with Eastwood, Michael G.) Invariant operators. 92b:58247 

— Verma modules and differential conformal invariants. 92a:58151 


53A Classical differential geometry 


53A35 


Brooks, Robert Wolfe Isospectral problems in conformal geometry. 92e:58215 

Chang, Sun-Yung A. (with Yang, Paul C.) A perturbation result in prescribing scalar 
curvature on S". 92m:53063 

De Bartolomeis, Paolo (with Migliorini, Luca) Scalar curvature and twistor geometry. 
92m:53065 

Eastwood, Michael G. see Baston, Robert J., 92b:58247 

Hebey, Emmanuel (with Vaugon, Michel) R que sur le proble 
summary) [A remark about the Yamabe problem] 92¢:53018 

— (with Vaugon, Michel) Multiplicité pour le probléme de Yamabe. (English summary) 
[Multiplicity for the Yamabe problem] 92c:53019 

Hoy, Erich Uber Flachen mit quasikonformer GauBscher Abbildung. [On surfaces with 
quasiconformal Gauss mapping] 92e:53004 

Husty, Manfred Zur Kinematik der ebenen aquiformen isotropen Geometrie. (English and 
Serbo-Croatian summaries) [On the kinematics of plane conformal isotropic geometry] 
92e:53019 

Hutchinson, John E. Computing conformal maps and minimal surfaces. 92m:53012 

Ki, U-Hang (with Nakagawa, Hisao) Hypersurfaces with harmonic Wey] tensor of a real 
space form. 92k:53100 

Liu, Xiang Yang (with Minda, David) Monotonicity of hyperbolic curvature under 
univalent mappings. 92k:30012 

Matsunaga, Hiromichi Conformal compactification of R? x S'. 92d:53024 

Mazzeo, Rafe (with Smale, Nathan) Conformally flat metrics of constant positive scalar 
curvature on subdomains of the sphere. 92i:53034 

Migliorini, Luca see De Bartolomeis, Paolo, 92m:53065 

Minda, David see Liu, Xiang Yang, 92k:30012 

Muracchini, Luigi Local differential properties of algebraic surfaces. (see 92i:32002) 

Musso, Emilio Contact twistors and conformal geometry. (Italian. English summary) 
92a:53050 

Nakagawa, Hisao see Ki, U-Hang, 92k:53100 

Prvanovi¢, Mileva Some theorems on conformally quasirecurrent ifolds. (Serbo- 
Croatian summary) 92b:53025 

Robinson, D.C. Four-dimensional conformal and quaternionic structures. 92g:53042 

Rong, Jian Ping On 7K; space. 92g:53043 

Sha, Ji-Ping (with Yang, Da-Gang) On harmonic maps from conformal S?"*! to CP". 
92b:58053 

Smale, Nathan see Mazzeo, Rafe, 92i:53034 

Vaugon, Michel see Hebey, Emmanuel, 92c:53018 and 92c:53019 

Xu, Xing Wang Prescribing a Ricci tensor in a conformal class of Riemannian metrics. 
92i:53036 

Yamauchi, Kazunari On infinitesimal conformal transformations of Finsler spaces. 
92h:53029 

Yang, Da-Gang see Sha, Ji-Ping, 92b:58053 

Yang, Paul C. see Chang, Sun-Yung A., 92m:53063 





de Yamabe. (English 








53A35 Non-Euclidean differential geometry 


Abdel-All, N. H. see Soliman, M. A., 92e:53022 

Agop, M. see Mazilu, N., 92i:53018 

Arteaga, Kh. R. Classification of second-order surfaces in a three-dimensional Lobachevskii 
space according to Norden’s method. (Russian) 92a:53017 

Borisov, Adriyan V. Invariant densities under the group of similitudes in the three- 
dimensional pseudo-Euclidean space. (Bulgarian summary) (see 92a:00041) 

Kostrikina, L. P. see Rosenfeld, Boris A.; et al., 92c:53008 

Lozitskii, E.L. Angles in plane geometries. (Russian) 92m:53025 

Malakhovskii, V.S. Congruences of horocycles and horospheres in the Lobachevskii space. 
(Russian) 

Masagutova, A. F. Congruences and supercongruences of m-planes of an elliptic n-space. 
(Russian) 

Mazilu, N. (with Agop, M.) Le transport paralléle Levi-Civita du plan de Lobatchevski. 
Quelques significations physiques des variables de Barbilian. [Levi-Civita parallel 
transport of the Lobachevskii plane. Geometric interpretation of the Barbilian variables} 
92i:53018 

Norden, A. P. Concomitant complex structures of a ruled space. (Russian) 92e:53021 

Palman, Dominik Drehzykliden des Galileischen Raumes G3. (English summary) [Cyclides 
of revolution in Galilean space G3] 92g:53012 

Rosenfeld, Boris A. (with Kostrikina, L. P.; Stepanova, G. V.; Yukhtina, T. I.) Focal-affine 
spaces. (Russian) 92c:53008 

Soliman, M. A. (with Abdel-All, N. H.) A differential geometry of families of planes in the 
elliptic space S3. 92e:53022 

Stepanova, G. V. see Rosenfeld, Boris A.; et al., 92c:53008 

Yukhtina, T. 1. see Rosenfeld, Boris A.; et al., 92c:53008 

Ziatanov, G. Z. Special networks in the n-dimensional space of Weyl W,. 92a:53018 


Items with secondary classifications in 53A35 

Abdel-All, N. H. Klein correspondences of a class of line complexes in elliptic spaces. 
92d:53014 

— A geometrical interpretation of fundamental differential invariants of line manifolds in 
Galilean space. 92d:53015 

Koneva, N. P. Darboux invariants of the Laplace transforms of normal congruences. 
(Russian. Ukrainian summary) 92m:53024 

Liu, Hui Li Minimal time-like surfaces in three-dimensional Minkowski space. (Chinese. 
English summary) 92k:53020 

Perelomova, N. N. (with Shirokov, A. P.) Second-order tangent bundles of the projective 
line, and Lobachevskii geometry. (Russian) 92c:53006 

Polthier, Konrad New periodic minimal surfaces in H?. 92k:53021 

Shirokov, A. P. see Perelomova, N. N., 92c:53006 

Wang, Xin Min (with Xu, Zhi Cai) Minimal hypersurfaces of revolution in hyperbolic 
spaces. (Chinese. English summary) 92h:53012 

Xu, Zhi Cai see Wang, Xin Min; et al., 92h:53012 





53440 


53A40 Other special differential geometries 


Agop, M. (with Zet, Gh.) Some interpretations of generalized elliptic coordinates. 
(Romanian. French summary) 92k:53029 

Burtseva, T. A. see Rosenfeld, Boris A., 92a:53019 

Dushina, N. V. see Rosenfeld, Boris A.; et al., 92b:53013 

Rosenfeld, Boris A. (with Dushina, N. V.; Semenova, I. N.) Differential geometry of real 2- 
surfaces in dual Hermitian Euclidean and elliptic spaces. (Russian) 92b:53013 

— (with Burtseva, T. A.) Lipschitzians, Lipschitz-affine spaces and the geometry of octaves. 
(Russian) 92a:53019 

Rybnikov, A. K. The geometry of the solutions of a third-order partial differential equation. 
(Russian) 92h:53018 

Semenova, I. N. see Rosenfeld, Boris A.; et al., 92b:53013 

Shcherbak, E. A. On a special form of congruences of pairs of conics in A3. (Russian) 

Shmeleva, S. V. On a class of congruences of ruled quadrics with focal surfaces R. (Russian) 

Skrydlova, E. V. On a class of degenerate congruences generated by a ruled quadric and a 
straight line. (Russian) 

Tsapenko, V. P. Connection in a manifold of hyperplanes induced by a hypercongruence. 
(Russian) 

Yurova, E. P. On a class of congruences of quadrics with a degenerate surface of centers. 
(Russian) 

Zet, Gh. see Agop, M., 92k:53029 


Items with secondary classifications in 53A40 


Boju, Valentin (with Funar, Louis) Generalized area in Minkowskian spaces. 92c:52007 

Burtseva, T. A. see Rosenfeld, Boris A.; et al., 92b:53081 

Dushina, N. V. see Rosenfeld, Boris A.; et al., 92b:53081 

Funar, Louis see Boju, Valentin, 92c:52007 

Kamenarovi¢, Ivan Lineare Geradenkomplexe im Galileischen Raum G3. [Linear line 
complexes in Galilean space G3] 92b:53012 

Kostrikina, L. P. see Rosenfeld, Boris A.; et al., 92b:53081 

Palman, Dominik Drehzykliden des Galileischen Raumes G3. (English summary) [Cyclides 
of revolution in Galilean space G3] 92g:53012 

Rosenfeld, Boris A. (with Burtseva, T. A.; Dushina, N. V.; Kostrikina, L. P.; Yukhtina, T. I.) 
Curvature tensors of Hermitian elliptic spaces. (Russian) 92b:53081 

Yukhtina, T. 1. see Rosenfeld, Boris A.; et al., 92b:53081 


53A45 Vector and tensor analysis 


Bona Garcia, Carles (with Coll, Bartolomé; Morales, Juan Antonio) Intrinsic characteriza- 
tion of space-time symmetric tensors. 92k:53030 

Coll, Bartolomé see Bona Garcia, Carles; et al., 92k:53030 

Hayes, Michael A general property of nonsingular second-order tensors. 92a:53020 

Kawaguchi-Kanai, Toshiko (with Morey, P.S., Jr.) Kawaguchi operators and cross 
extensors. 92h:53019 

Krawczyk, Jerzy On sectional curvature of semi-symmetric connection. (Polish summary) 
92a:53021 

Morales, Juan Antonio see Bona Garcia, Carles; et al., 92k:53030 

Morey, P.S., Jr. see Kawaguchi-Kanai, Toshiko, 92h:53019 

Prélat, Daniel Tensorial concomitants of a metric tensor and a covector. 92b:53014 


Items with secondary classifications in 53A45 

Bokan, Neda The decomposition theory and its applications. 92m:53078 

Bossavit, Alain The “scalar” Poincaré-Steklov operator and the “vector” one: algebraic 
structures which underlie their duality. (see 92a:65023) 

Farrashkhalvat, M. (with Miles, J. P.) * Tensor methods for engineers. 92a:00013 

Fedorov, F.1I. The metric tensor and tetrads. (Russian) 92h:15016 

Miles, J. P. see Farrashkhalvat, M., 92a:00013 

Montanaro, Adriano On tensor functions whose gradients have some skew-symmetries. 
(Italian summary) 92i:73024 

Pennisi, Sebastiano Representation theorems with variables in an intrinsic form. 92a:53024 

Theocaris, P.S. The compliance and the strength differential tensors for the description of 
failure of the general orthotropic body. 92h:73034 


53A50 Spinor analysis 

Benn, I. M. (with Tucker, Robin W.) * An introduction to spinors and geometry with 
applications in physics. 92b:53015 

Tucker, Robin W. see Benn, I. M., 92b:53015 


Items with secondary classifications in 53A50 

Baum, Helga (with Friedrich, Thomas; Grunewald, Ralf; Kath, Ines) * Twistor and Killing 
spinors on Riemannian manifolds. 92h:53055 

Chisholm, J.S.R. (with Farwell, R.S.) Clifford approach to metric manifolds. 92k:53133 

Crumeyrolle, A. Isotropic vector fields on spheres, spinor structures on spheres and 
projective spaces. 924:57020 

Dimakis, Aristophanes (with Miiller-Hoissen, Folkert) Clifform calculus with applications 
to classical field theories. 92j:83088 

Farwell, R.S. see Chisholm, J. S. R., 92k:53133 

Friedrich, Thomas (with Pokorna, Olga) Twistor spinors and solutions of the equation (E) 
on Riemannian manifolds. 92m:58147 

— see also Baum, Helga; et al., 92h:53055 

Grunewald, Ralf see Baum, Helga; et al., 92h:53055 

Kath, Ines see Baum, Helga; et al., 92h:53055 

Kopczytiski, Wojciech (with Trautman, Andrzej) Simple spinors and real structures. 
92k:15055 

Liu, Yu Fen Spinor connections and geometrization of fermions. 92b:53030 

Miiller-Hoissen, Folkert see Dimakis, Aristophanes, 92j:83088 

Ono, Takashi (with Takano, Yoshiro) The differential geometry of spaces whose metric 
tensor depends on spinor variables and the theory of spinor gauge fields. II. 92d:53016 


DIFFERENTIAL GEOMETRY 


1992 882 


— (with Takano, Yoshiro) The differential geometry of spaces whose metric tensor depends 
on spinor variables and the theory of spinor gauge fields. III. 92k:53031 

— see also Takano, Yoshiro, 92k:53032 

Pokorna, Olga see Friedrich, Thomas, 92m:58147 

Puscagu, Elena Connexions linéaires attachées 4 une connexion spinorielle. II. (Romanian 
summary) [Linear connections associated with a spinor connection. II] 

Solov’év, A. V. see Viadimirov, Yu. S. 

Takano, Yoshiro (with Ono, Takashi) The differential geometry of spaces whose metric 
tensor depends on vector and spinor variables and the theory of gauge fields. 92k:53032 

— see also Ono, Takashi, 924:53016 and 92k:53031 

Trautman, Andrzej see Kopczytiski, Wojciech, 92k:15055 

Viadimirov, Yu. S. (with Solov’év, A. V.) A physical structure of rank (4, 4; 6) and three- 
component spinors. (Russian) 


53A55 Differential invariants (local theory), geometric objects 


JanySka, J. see Krupka, D., 92m:53026 

Krupka, D. (with Janyska, J.) * Lectures on differential invariants. 92m:53026 

Mazetis, E. B. Differential invariants of a cotangent bundle. (Russian. French and 
Lithuanian summaries) 92b:53016 

Yafarov, Sh. A. Special fractional-linear integrals of geodesic lines of spaces with affine 
connection. (Russian) 92f:53016 


Items with secondary classifications in 53A55 

Chern, Shiing Shen Families of hypersurfaces under contact transformations in R". 
92k:58008 

Garcia Pérez, Pedro L. (with Mufioz Masqué, Jaime) Differential invariants on the bundles 
of linear frames. 92h:53033 

Kamran, Niky An introduction to the equivalence problem of Elie Cartan illustrated by 
examples. 92i:58006 

Muiioz Masqué, Jaime see Garcia Pérez, Pedro L., 92h:53033 

Sabinin, L. V. Smooth hyporeductive loops. (Russian) 92d:22002 

Ural, N. Champs de vecteurs non tangentiels. [Nontangent vector fields] 92h:53005 


53A60 Geometry of webs [see also 14C21, 20N05] 


Akivis, M. A. Three-webs and closed G-structures. (see 92£:53003) 

Badev, Ivan At. On Chebyshev and proportional nets in three-dimensional Riemannian 
space. (Bulgarian. English summary) (see 92a:00041) 

Glizburg, V. I. Some nets constructed from pseudofoci of normals of the surface V2 in E,. 
(Russian) 

Glukhova, N. A. To the theory of generalized hyporeductive loops. (see 92:53003) 

Goldberg, Vladislav V. (with Rosca, Radu) Geometry of exceptional webs EW (4, 2,2) of 
maximum 2-rank. 92b:53017 

Hofmann, Karl Heinrich (with Strambach, Karl) Torsion and curvature in smooth loops. 
92e:53023 

Mikheev, P.O. Fourth-order alternators of a three-web associated with an analytic loop. 
(Russian) 92j:53005 

Mishchenko, S. G. (with Shelekhov, A.M.) Subwebs and subloops. (Russian) 92c:53009 

Rogca, Radu see Goldberg, Viadislav V., 92b:53017 


Sabinin, L. V. (with Sbitneva, L. V.) Reductive spaces and left F-quasigroups. (see 
92£:53003) 

— Smooth hyporeductive loops. (see 92:53003) 

Sbitneva, L. V. see Sabinin, L. V., (92f:53003) 

Shelekhov, A. M. The loop identities and the closed g,,-structures. (see 92£:53003) 

— see also Mishchenko, S. G., 92¢:53009 

Strambach, Karl see Hofmann, Kari Heinrich, 92e:53023 

Tolstikhina, G. A. A net of lines that is defined by a Grassmannizable three-web on a 
smooth submanifold. (Russian) 92b:53018 

— The locally symmetric S-structure determined by a Bol web. (see 92f:53003) 

Items with secondary classifications in 53A60 

Ferapontov, E. V. Integration of weakly nonlinear semi-Hamiltonian systems of hydrody- 


namic type by the methods of web theory. (Russian) 92e:58090 


Kilp, Helgi Backlund transformations and geometry of multidimensional three-webs. 
92h:53034 


Shelekhov, A.M. New closure conditions and some problems in loop theory. 92b:20093 
— see also Webs and quasigroups, 92£:53003 

Solarin, A. R. T. A short note on Bol algebra. 92¢:17002 

Zeren Akgiin, Leyla On the isoterm asymptotic surfaces. (Turkish summary) 92i:53012 


Items listed otherwise than by author 
Conference: 
Nonlinear Geometric Algebra *x Webs and quasigroups. 92f:53003 
Moscow * Webs and quasigroups. 92f:53003 
Webs and quasigroups * Webs and quasigroups. 92f:53003 


53A99 None of the above, but in this section 
Andreev, B. A. Mappings of manifolds of hyperquadrics that are generated by a point 
correspondence. (Russian) 


Egorov, Andrei Ivanovich Maximally moving metric spaces of linear and hyperplanar 
elements. (Russian) 


Laktionov, S. A. On the complexes Ko of 2-planes in P,, with three straight lines Lf : 
(Russian) 


McKean, Henry Curvatura integra, handle-number, and genus of transcendental curves. 
92h:53020 

Items with secondary classifications in 53A99 

Firmanty, Malgorzata Generalized path spaces. II. 92i:58010 





883 1992 


Karmarkar, Narendra Riemannian geometry underlying interior-point methods for linear 
programming. 92a:90029 


53Bxx Local differential geometry 


53B05 Linear and affine connections 


Chung, Kyung Tae (with So, Keum Sook) Geometry of the submanifolds of ESX,,. III. 
Parallelism in ESX,, and its submanifolds. 92j:53006 

Cuartero Segura, Carolina Geometric description of some projective reference frames. 
(Spanish) (see 92g:00024) 

Grebenyuk, M. F. An affine connection associated with the % -distribution. (Russian) 

Matveev, O. A. On locally invariant affine connections. (see 92f:53003) 

Meboniya, I. D. Reduction of strongly reducible fifth-order differential systems to the 
structure of a stable nonlinear connection. (Russian) 

Mukhamedov, A. M. Transformations of spaces with affine connection that preserve a linear 
complex of geodesics. (Russian) 92c¢:53010 

Nicolesca, Livin Champs presque (F, F,---, F)-principaux. [Almost (F, F,---, F)-principal 
fields] 92b:53019 

— (with Soare, Nicolae) Des champs m éristiq 
92b:53020 

Ono, Takashi (with Takano, Yoshiro) The differential geometry of spaces whose metric 
tensor depends on spinor variables and the theory of spinor gauge fields. II. 92d:53016 

— (with Takano, Yoshiro) The differential geometry of spaces whose metric tensor depends 
on spinor variables and the theory of spinor gauge fields. III. 92k:53031 

— see also Takano, Yoshiro, 92k:53032 

So, Keum Sook see Chung, Kyung Tae, 92j:53006 

Soare, Nicolae see Nicolescu, Liviu, 92b:53020 

Takano, Yoshiro (with Ono, Takashi) The differential geometry of spaces whose metric 
tensor depends on vector and spinor variables and the theory of gauge fields. 92k:53032 

— see also Ono, Takashi, 924:53016 and 92k:53031 

Yablokov, D. M. Motions in a space of pairs of linear elements of affine connection. I. 
(Russian) 92j:53007a 

— Motions in the space of pairs of linear elements of affine connection. II. (Russian) 
92j:53007b 





[m-subcharacteristic fields] 


Items with secondary classifications in 53B05 

Deszcz, Ryszard Pseudosymmetry curvature conditions imposed on the shape operators of 
hypersurfaces in the affine space. 92k:53024 

Hofmann, Karl Heinrich (with Strambach, Karl) Torsion and curvature in smooth loops. 
92e:53023 

Kola, Ivan (with Modugno, Marco) Natural maps on the iterated jet prolongation of a 
fibred manifold. 92k:58012 

Mazetis, E. B. Differential invariants of a cotangent bundle. (Russian. French and 
Lithuanian summaries) 92b:53016 

Mintié, Svetislay M. Geometric interpretations of curvature tensors and pseudotensors of a 
space with nonsymmetric affine connection. (Russian) 92b:53022 

Modugno, Marco see Koldf, Ivan, 92k:58012 

Otsuki, Tominosuke General connections. 92f:53018 

Pan’zhenskii, V. I. On the geometry of a tangent bundle of the locally conic space. (Russian) 
92e:53024 

Prvanovi¢, Mileva On a proper conformally recurrent manifold. (Serbo-Croatian summary) 
92g:53065 

Strambach, Karl see Hofmann, Karl Heinrich, 92e:53023 

Thornley, Gillian Differential geometry—connections. 

Vrancken, Luc Affine surfaces with higher order parallel cubic form. 92a:53013 

Yafarov, Sh. A. Special fractional-linear integrals of geodesic lines of spaces with affine 
connection. (Russian) 92:53016 


53B10 Projective connections 


Items with secondary classifications in 53B10 


Liang, Yi Xing Some properties of the semisymmetric metric connection on a Riemannian 
manifold. (Chinese. English summary) 92h:53021 


53B15 Other connections 


Barua, B. see Mukhopadhyay, Salilesh; et al., 92j:53008 

Chung, Kyung Tae (with Kim, Mi Young) Generalized fundamental equations on the 
submanifolds of a manifold ESX,. 92k:53033 

Di Terlizzi, L. (with Farinola, A.) Nonlinear connections for 2-osculating vector fields. 
924:53017 

Farinola, A. see Di Terlizzi, L., 92d:53017 

GreSdk, Pavol A nonlinear connection of second order. (Slovak. English, German and 
Russian summaries) 92b:53021 

Husty, Manfred (with Nagy, Péter T.) Uber die Blaschkesche kovariante Ableitung und die 
kinematische Abbildung. (English summary) [On the Blaschke covariant derivative and 
the kinematic mapping] 92f:53017 

Igoshin, V.A. Homomorphisms of quasigeodesic flows of the second degree. (Russian) 
924:53018 

Kim, Mi Young see Chung, Kyung Tae, 92k:53033 

Liang, Yi Xing Some properties of the semisymmetric metric connection on a Riemannian 
manifold. (Chinese. English summary) 92h:53021 

Ma, Chuan Yu (with Ying, Shao Ji) Semisymmetric metric connections. II. (Chinese. 
English summary) 

Miniié, Svetislay M. Geometric interpretations of curvature tensors and pseudotensors of a 
space with nonsymmetric affine connection. (Russian) 92b:53022 


53B Local differential geometry 


53B25 


Mukhopadhyay, Salilesh (with Roy, A. K.; Barua, B.) Some properties of a quarter 
symmetric metric connection on a Riemannian manifold. 92j:53008 

Nagy, Péter T. see Husty, Manfred, 92f:53017 

Okubo, Katsumi Invariant connections for conformal and projective changes. 92j:53009 

Otsuki, Tominosuke General connections. 92f:53018 

Pan’zhenskii, V. I. On the geometry of a tangent bundle of the locally conic space. (Russian) 
92e:53024 

Piliposyan, V. A. Connection in the space of linear elements. (Russian) 92g:53013 

Pusi¢, Nevena On the existence of a self-recurrent SW-On. (Serbo-Croatian summary) 
92:53019 

Roy, A. K. see Mukhopadhyay, Salilesh; et al., 92j:53008 

Tran Quoc Binh On semi-symmetric connections. 92b:53023 

Trenétevski, Kostadin On the interpretation of connections on vector bundles in local 
coordinates. (Macedonian summary) 92m:53027 

— Geometrical interpretation of the antisymmetric covariant differentiation. (Macedonian 
summary) 92m:53028 

Ying, Shao Ji see Ma, Chuan Yu; et al. 


Items with secondary classifications in 53B15 


Abe, Naoto Multi-curvature forms and their applications to dual connections. 92m:53039 


Atanasiu, Gheorghe (with Klepp, Francisc C.) Nonlinear connection in cotangent bundle. 
92m:53037 


. Ianug, Stere see Matsumoto, Koji; et al., 92a:53026 


Klepp, Francisc C. see Atanasiu, Gheorghe, 92m:53037 

Matsumoto, Koji (with Ianus, Stere; Ornea, Liviu) A certain symmetric F-connection in 
locally conformal Kahler manifolds. 92a:53026 

Oproiu, V. (with Papaghiuc, N.) Vector subbundles in the tangent bundle of a Lagrange 
space. (Romanian summary) 92e:53098 

Ornea, Liviu see Matsumoto, Koji; et al., 92a:53026 

Papaghiuc, N. see Oproiu, V., 92e:53098 

Rund, Hanno Adjoint connections on group manifolds and gauge transformations. 
92m:53041 

Youssef, Nabil Labib Vertical semi-symmetric metric connections. 92i:53021 


53B20 Local Riemannian geometry 


Aminova, A. V. A Lie problem, projective groups of two-dimensional Riemann surfaces, and 
solitons. (Russian) 92a:53022 

Banu, Olga Sur les espaces de Riemann en correspondance géodésique. (Romanian 
summary) [Riemannian spaces in geodesic correspondence] 92h:53022 

Boju, Valentin (with Funar, Louis) Courbure et changements conformes de métrique. 
[Curvature and conformal transformations of metric] 92b:53024 

Deszez, Ryszard On Ricci-pseudo-symmetric warped products. 92e:53025 

— (with Hotlos, M.) On conformally related four-dimensional pseudo-symmetric metrics. 
924:53019 

Edgar, S. Brian Sufficient conditions for a curvature tensor to be Riemannian and for 
determining its metric. 92d:53020 

Funar, Louis see Boju, Valentin, 92b:53024 

Ghanaat, Patrick (with Min-Oo, Maung; Ruh, Ernst A.) Local structure of Riemannian 
manifolds. 92a:53023 

Hotlos, M. see Deszez, Ryszard, 92d:53019 

Klinger, R. A basis that reduces to zero as many curvature components as possible. 
92m:53029 

Kuranishi, Masatake Remarks on the formula for the curvature. 92m:53030 

Li, Zhong Lin A characteristic of Riemannian spaces admitting quasi-concircular transfor- 
mation. 92:53020 

Min-Oo, Maung see Ghanaat, Patrick; et al., 92a:53023 

Prvanovi¢é, Mileva Some theorems on conformally quasi rent ifolds. (Serbo- 
Croatian summary) 92b:53025 

Ruh, Ernst A. see Ghanaat, Patrick; et al., 92a:53023 


Items with secondary classifications in 53B20 


Boguslavskaya, T. M. (with Polovtseva, M. A.; Timoshenko, T. A.) Invariant Riemannian 
and pseudo-Riemannian metrics in manifolds of images of cosymmetries in projective 
spaces. (Russian) 92:53014 

De, U. C. On semi-decomposable pseudo-symmetric Riemannian spaces. 92f:53037 

Edgar, S. Brian Sufficiency of the Ricci equations for characterizing the Riemann tensor. 
924:53023 

Koufogiorgos, T. see Sharma, Ramesh, 92i:53029 

Marrero, Juan Carlos Some curvature properties of locally conformal co-Kahler manifolds. 
(Spanish. English summary) 92j:53011 

Nicolescu, Liviu (with Soare, Nicolae) Des champs m-souscaractéristiques. [m- 
subcharacteristic fields] 92b:53020 

Okubo, Katsumi Invariant connections for conformal and projective changes. 92j:53009 

Polovtseva, M. A. see Boguslavskaya, T. M.; et al., 92f:53014 

Roter, W. Some indefinite metrics and covariant derivatives of their curvature tensors. 
92k:53035 

Seixas, Wladimir Extensions to the computer-aided classification of the Ricci tensor. 
92j:83001 

Sharma, Ramesh (with Koufogiorgos, T.) Locally symmetric and Ricci-symmetric contact 
metric manifolds. 92i:53029 

Soare, Nicolae see Nicolescu, Liviu, 92b:53020 

Timoshenko, T. A. see Boguslavskaya, T. M.; et al., 92f:53014 

Troyanov, Mare Coordonnées polaires sur les surfaces riemanniennes singuliéres. (English 
summary) [Polar coordinates on singular Riemann surfaces] 92d:30029 

Yamashita, Shinji Local minima of the Gauss curvature of a minimal surface. 92h:53013 





53B25 Local submanifolds [see also 53C 40] 
Agashe, Nirmala S. (with Chafle, Mangala R.) On special submanifolds of a Riemannian 





53B25 


manifold. 92m:53031 

— (with Chafle, Mangala R.) Concurrent vector fields on a submanifold of a Riemannian 
manifold. 92m:53032 

Chafle, Mangala R. see Agashe, Nirmala S., 92m:53031 and 92m:53032 

Chen, Bang-Yen Local rigidity theorems of 2-type hypersurfaces in a hypersphere. 
92£:53021 

Lumiste, Ulo (with Riives, K.) Three-dimensional semi-symmetric submanifolds with 
axial, planar or spatial points in Euclidean spaces. 92c:53011 

— Classification of three-dimensional semi-symmetric submanifolds in Euclidean spaces. 
92c:53012 

— Three-dimensional submanifolds with parallel third fundamental form in Euclidean 
spaces. (Russian summary) 92¢:53013 

— (with Valjas, M.) Three-dimensional Dupin hypersurfaces with holonomic net of 
curvature lines and one zero principal curvature. (Russian summary) 92m:53033 

Magid, Martin A. Timelike surfaces in Lorentz 3-space with prescribed mean curvature and 
Gauss map. 92m:53034 

Marchiafava, Stefano On the local geometry of quaternionic Kahler manifolds. (Italian. 
English summary) 92k:53034 

Ornea, Livin Minimal real hypersurfaces in locally conformal Kahler manifolds. 92i:53019 

Riives, K. see Lumiste, Ulo, 92c:53011 

Rochowski, Marek A scheme of generating canonical frames in normal bundles of 
immersed manifolds in Euclidean spaces. 92d:53021 

— Parallel cross sections and canonical frames in normal bundles of immersed manifolds in 
Euclidean space. 92d:53022 

Valjas, M. see Lumiste, Ulo, 92m:53033 


Items with secondary classifications in 53B25 

Cai, Heng Wu The splitting theorem for isoparametric submanifolds and their tubular 
hypersurfaces. (Chinese. English summary) 92k:53097 

Chen, Bang-Yen * Geometry of slant submanifolds. 92d:53047 

— (with Vanhecke, Lieven) Symplectic reflections and complex space forms. 92k:53126 

Chern, Shiing Shen Families of hypersurfaces under contact transformations in R". 
92k:58008 

Chung, Kyung Tae (with So, Keum Sook) Geometry of the submanifolds of ESX,,. III. 
Parallelism in ESX,, and its submanifolds. 92j:53006 

Dushina, N. V. see Rosenfeld, Boris A.; et al., 92b:53013 

Gray, Alfred * Tubes. 924:53002 

Hollard, Antoine Plongements isométriques locaux de variétés proprement riemanniennes 
de dimension 3 dans un espace plat de dimension 4. Hypersurfaces rigides. (English 
summary) [Local isometric embeddings of three-dimensional properly Riemannian 
manifolds in a four-dimensional flat space. Rigid hypersurfaces] 92k:53011 

Houh, Chorng Shi Rotation surfaces of finite type. 92d:53051 

Li, Zken Qi see Ouyang, Chong Zhen; et al., 92b:53026 

Li, Zhong Lin A characteristic of Riemannian spaces admitting quasi-concircular transfor- 
mation. 92f:53020 

Ouyang, Chong Zhen (with Li, Zhen Qi) Locally symmetric Bochner-Kahler manifolds and 
their Kahler submanifolds. (Chinese) 92b:53026 

— Kahler submanifolds of Bochner-Kahler manifolds. (Chinese) 92f:53023 

Rosenfeld, Boris A. (with Dushina, N. V.; Semenova, I. N.) Differential geometry of real 2- 
surfaces in dual Hermitian Euclidean and elliptic spaces. (Russian) 92b:53013 

Semenova, I. N. see Rosenfeld, Boris A.; et al., 92b:53013 

So, Keum Sook see Chung, Kyung Tae, 92j:53006 

Tenenblat, Keti Multidimensional equations and differential geometry. 92e:35018 

Vanhecke, Lieven see Chen, Bang-Yen, 92k:53126 

Zafindratafa, G. The local structure of a 2-codimensional conformally flat submanifold in 
an Euclidean space R"*+?. 92¢:53038 


53B30 Lorentz metrics, indefinite metrics 


Beem, John K. (with Parker, Phillip E.) Null directions and curvature. 92m:53035 

(Birman, Graciela Silvia) see Wegner, Bernd, 92i:53020 

Edgar, S. Brian Sufficiency of the Ricci equations for characterizing the Riemann tensor. 
92d:53023 

Ehrlich, Paul E. Null cones and pseudo-Riemannian metrics. 92h:53023 

Ivanov, V.G. A complete system of invariants of a dyad in a four-dimensional pseudo- 
Riemannian space. (Russian) 

Parker, Phillip E. see Beem, John K., 92m:53035 

Pennisi, Sebastiano Representation theorems with variables in an intrinsic form. 92a:53024 

Roter, W. Some indefinite metrics and covariant derivatives of their curvature tensors. 
92k:53035 

Wegner, Bernd Comment on curves in 2- and 3-dimensional Minkowski space: “On L? and 
L>” (Elem. Math. 43 (1988), no. 2, 46-50; MR 89b:53040] by G. S. Birman. 92i:53020 


Items with secondary classifications in 53B30 

Belger, Martin see Schimming, Rainer, 92h:53051 

Deszytiski, Krzysztof Notes on polynomial structures equipped with a Lorentzian metric. 
92h:53039 

Guts, A. K. A topos-theoretic approach to the foundations of relativity theory. (Russian) 
92m:83083 

Magid, Martin A. Timelike surfaces in Lorentz 3-space with prescribed mean curvature and 
Gauss map. 92m:53034 

— Timelike Thomsen surfaces. 92m:53017 

Mealy, Jack Volume maximization in semi-Riemannian manifolds. 92k:53123 

Schimming, Rainer (with Belger, Martin) Polyharmonic radial functions on a Riemannian 
manifold. 92h:53051 

Tripathi, Mukut Mani A note on an almost r-contact hyperbolic manifold. 


53B35 Hermitian and Kahlerian structures [see also 32Cxx] 
Bagewadi, C.S. see Ravi, B., 92e:53027 


DIFFERENTIAL GEOMETRY 


Dubey, S. K. D. Almost Tachibana recurrent manifolds. 92a:53025 

Gadea, Pedro Martinez (with Montesinos Amilibia, Angel) Some geometric properties of 
para-Kaehlerian space forms. (Italian summary) 92e:53026 

Ianus, Stere see Matsumoto, Koji; et al., 92a:53026 

Kala, V. N. see Negi, D. S., 92f:53022 

Li, Zhen Qi see Ouyang, Chong Zhen; et al., 92b:53026 

Matsumoto, Koji (with Ianus, Stere; Ornea, Liviu) A certain symmetric F-connection in 
locally conformal Kahler manifolds. 92a:53026 

Montesinos Amilibia, Angel see Gadea, Pedro Martinez, 92e:53026 

Nautiyal, R.C. see Singh, Awadhesh Kumar’, 92a:53027 

Negi, D. S. (with Kala, V.N.) Some theorems on Tachibana concircular bi-recurrent and 
bi-symmetric spaces. 92f:53022 

Ornea, Liviu see Matsumoto, Koji; et al., 92a:53026 

Ouyang, Chong Zhen (with Li, Zhen Qi) Locally symmetric Bochner-Kahler manifolds and 
their Kahler submanifolds. (Chinese) 92b:53026 

— Kahler submanifolds of Bochner-Kahler manifolds. (Chinese) 92£:53023 

Ravi, B. (with Bagewadi, C. S.) On n-symmetric and n-recurrent Kaehler manifolds. VIII. 
92e:53027 

Singh, Awadhesh Kumar’ (with Nautiyal, R. C.) Some theorems on special, union and 
hyper-asymptotic curves of a Kaehler hypersurface. 92a:53027 


Items with secondary classifications in 53B35 


Bashir, M. A. Notice of retraction: “On totally real submanifolds in a 6-sphere” [Canad. 
Math. Bull. 33 (1990), no. 2, 162-166; MR 91i:53059a]. 92h:53063 

Chen, Bang-Yen * Geometry of slant submanifolds. 924:53047 

— (with Vanhecke, Lieven) Symplectic reflections and complex space forms. 92k:53126 

Djorié, M. (with Vanhecke, Lieven) Almost Hermitian geometry, geodesic spheres and 
symmetries. 92b:53039 

Ornea, Liviu Minimal real hypersurfaces in locally conformal Kahler manifolds. 92i:53019 

Vanhecke, Lieven see Djori¢, M., 92b:53039 and Chen, Bang-Yen, 92k:53126 

Wang, Ai Nung A note to Futaki’s invariant. 92i:53067 


53B40 Finsler spaces and generalizations (areal metrics) 


Aikou, Tadashi (with Hashiguchi, Masao; Yamauchi, Kazunari) On Matsumoto’s Finsler 
space with time measure. 92f:53024 

— (with Ichijyd, Yoshihiro) Finsler-Weyl structures and conformal flatness. 92f:53025 

Alli, Vahid see Yamada, Toshikiyo, 92b:53028 and Yasuda, Hiroshi, 92e:53031 

Anastasiei, Mihai Cross-section submanifolds of cotangent bundle over an Hamilton space. 
92m:53036 

Ansari, M. M. see Sinha, B. B., 92k:53038a and 92k:53038b 

Atanasiu, Gheorghe (with Klepp, Francisc C.) p(3,—1)-Finsler structures and their lifts. 
(Serbo-Croatian summary) 92a:53028 

— f(3, 1)-Finsler structures and their integrability. 92j:53010 

— (with Klepp, Francisc C.) Nonlinear connection in cotangent bundle. 92m:53037 

Casciaro, B. see Dragomir, Sorin, 92h:53025 

Comié, Irena Affine connections in the Finsler space. (Serbo-Croatian summary) 92a:53029 

— Frenet formulae in recurrent Lagrange spaces with d connection. 92h:53024 

Dragomir, Sorin (with Farinola, A.) Induced Riemannian metrics associated with the 
Wrona metric. (Turkish summary) 92f:53026 

— (with Larato, Bambina) Harmonic functions on Finsler spaces. (Turkish summary) 
92g:53014 

— (with Casciaro, B.) The geometric interpretation of the sectional curvature of a Finsler 
space. (Turkish summary) 92h:53025 

Farinola, A. see Dragomir, Sorin, 92f:53026 

Fukui, Masaki (with Udriste, Constantin) On the rank of a curvature tensor of a Finsler 
manifold. 

Hashiguchi, Masao see Aikou, Tadashi; et al., 92f:53024 

Ichijyé, Yoshihiro see Aikou, Tadashi, 92f:53025 

Ikeda, Fumio Some remarks on the deflection tensor. 92f:53027 

Izumi, Hideo On the geometry of generalized metric spaces. I. Connections and identities. 
92k:53036 

Kikuchi, Shigetaka see Miron, Radu; et al., 92m:53038 

Kis, B. Homogeneous connections and their osculations on the vertical subbundle. 
92h:53026 

Klepp, Francisc C. see Atanasiu, Gheorghe, 92a:53028; 92m:53037 and Stavre, Petre 

Larato, Bambina see Dragomir, Sorin, 92g:53014 

Macovei, Elena Connexions Berwald en espaces Lagrange généralisés et applications dans 
la théorie des sous-espaces. (English summary) [Berwald connections in generalized 
Lagrange spaces and applications in the theory of subspaces] 92h:53027 

Matsumoto, Makoto Theory of extended point transformations of Finsler spaces. II. 
Fundamental theorems of projective motions. 92g:53015 

— On integral manifolds of an integrable nonlinear connection from the standpoint of the 
theory of Finsler connections. 92h:53028 

— A left translation preserving a Finsler connection invariant. 92b:53027 

Miron, Radu (with Kikuchi, Shigetaka; Sakaguchi, Toshio) Subspaces in generalized 
Hamilton spaces endowed with h-metrical connections. (French summary) 92m:53038 

Pande, H. D. (with Shukla, H. S.) Some identities in a Finsler space admitting torse- 
forming vector fields. 92e:53028 

Rastogi, Suresh Chandra Cartan’s second curvature tensor in a Finsler space. 92e:53029 

— On complex spaces with a general metric. 92f:53028 

Roxburgh, Ian W. Finsler spaces with Riemannian geodesics. 92g:53016 

Sakaguchi, Toshio Subspaces in parallelizable generalized Lagrange spaces. (French 
summary) 92k:53037 

— see also Miron, Radu; et al., 92m:53038 

Shibata, Chdk6 On Finsler geometry of thermody: 
Ingarden. 92¢:53030 

Shukla, H.S. see Pande, H. D., 92e:53028 

Sinha, B. B. (with Ansari, M. M.) Special semi-symmetric connection in a Kahlerian 
Finsler manifold. 92k:53038a 


ical states int 





duced by R. S. 





885 1992 


— (with Yadav, Ram Kirty) On generalised Finsler structures on vector bundle. 92f:53029 

— (with Ansari, M. M.) Special semi-symmetric connection in a Kahlerian Finsler 
manifold. 92k:53038b 

Stavre, Petre (with Klepp, Francisc C.) Finsler connection transformations associated to a 
general Finsler metrical structure of Miron type. II. 

Udriste, Constantin see Fukui, Masaki 

Yadav, Ram Kirty see Sinha, B. B., 92f:53029 

Yamada, Toshikiyo (with Alli, Vahid) Special TMD-connections on a Finsler space. 
92b:53028 

Yamauchi, Kazunari On infinitesimal conformal transformations of Finsler spaces. 
92h:53029 

— see also Aikou, Tadashi; et al., 92f:53024 

Yasuda, Hiroshi (with Alli, Vahid) A study of special subspaces in a Finsler space. II. 
92e:53031 

Youssef, Nabil Labib Vertical semi-symmetric metric connections. 92i:53021 


Items with secondary classifications in 53B40 

Antonelli, P. L. Volterra-Hamilton systems of Finsler type.with applications to coral reef 
ecology. 92f:92035 

Asanov, G. S. Finslerian solution for static spherically symmetric gravitational field. 
92k:83096 

Bejancu, Aurel Gauge theory on a vector bundle. I. Global invariance of Lagrangians on a 
vector bundle. 924:58049 

Comié¢, Irena Curves in subspaces of recurrent Finsler spaces. 92h:53082 

Kovacs, Z. Some properties of associated pseudoconnections. 92k:53043 

Matsumoto, Makoto Randers spaces of constant curvature. 92f:53078 

Okubo, Katsumi Invariant connections for conformal and projective changes. 92j:53009 

Ono, Takashi see Takano, Yoshiro, 92k:53032 

Piliposyan, V. A. Connection in the space of linear elements. (Russian) 92g:53013 

Takano, Yoshiro (with Ono, Takashi) The differential geometry of spaces whose metric 
tensor depends on vector and spinor variables and the theory of gauge fields. 92k:53032 


53B50 Applications to physics 


Coll, Bartolomé (with San José, Fernando) On the exponential of the 2-forms in relativity. 
92b:53029 

Neitzke, Katharina Die Lorentz-Kraft auf pseudo-Riemannschen Mannigfaltigkeiten. [The 
Lorentz force on pseudo-Riemannian manifolds] 92k:53039 

del Olmo, Mariano A. (with Santander, Mariano) Action and integral geometry for 
Poincaré and Galilei groups. (see 92f:81008) 

San José, Fernando see Coll, Bartolomé, 92b:53029 

Santander, Mariano see del Olmo, Mariano A.., (92:81008) 


Items with secondary classifications in 53B50 

Agop, M. see Zet, Gh., 92i:83047 

Badur, J. see Stumpf, Helmut, 92f:73014 

Beem, John K. (with Parker, Phillip E.) Null directions and curvature. 92m:53035 

Bona Garcia, Carles (with Coll, Bartolomé; Morales, Juan Antonio) Intrinsic characteriza- 
tion of space-time symmetric tensors. 92k:53030 

Chung, Kyung Tae (with So, Keum Sook) Geometry of the submanifolds of ESX,,. III. 
Parallelism in ESX,, and its submanifolds. 92j:53006 

Coll, Bartolomé see Bona Garcia, Carles; et al., 92k:53030 

Kawaguchi, Tomoaki see Miron, Radu, 92i:83033 

Martin, Daniel * Manifold theory. 92g:58001 

Miron, Radu (with Kawaguchi, Tomoaki) Relativistic geometrical optics. 92i:83033 

Morales, Juan Antonio see Bona Garcia, Carles; et al., 92k:53030 

Parker, Phillip E. see Beem, John K., 92m:53035 

Rund, Hanno Adjoint connections on group manifolds and gauge transformations. 
92m:53041 

Shibata, Chok6 On Finsler geometry of thermodynamical states introduced by R. S. 
Ingarden. 92e:53030 

So, Keum Sook see Chung, Kyung Tae, 92j:53006 

Stumpf, Helmut (with Badur, J.) On the nonabelian motor calculus. (German and Russian 
summaries) 92f:73014 

Zet, Gh. (with Agop, M.) Implications of the Barbilian group in modern physics. I, II. 
(Romanian. French summary) 92i:83047 


53B99 None of the above, but in this section 


Barndorff-Nielsen, O. E. (with Blesild, P.; Mora, Marianne) * Derivative strings and 
higher order differentiation. 92g:53017 

Blesild, P. see Barndorff-Nielsen, O. E.; et al., 92g:53017 

Mora, Marianne see Barndorff-Nielsen, O. E.; et al., 92g:53017 


Items with secondary classifications in 53B99 


De Cecco, Giuseppe (with Palmieri, Giuliana) Intrinsic distance on a Lipschitz Riemannian 
manifold. (Italian. English summary) 92b:58016 
Palmieri, Giuliana see De Cecco, Giuseppe, 92b:58016 


53Cxx Global differential geometry [see also 51H25, 58- 
XX; for related bundle theory, see 55Rxx, 57Rxx] 


53C05 Connections, general theory 


Abe, Naoto Metric general connections and torsion forms. 92h:53030 

— Multi-curvature forms and their applications to dual connections. 92m:53039 

de Andrés, Luis C. (with de Leén, Manuel; Rodrigues, Paulo R.) Connections on tangent 
bundles of higher order associated to regular Lagrangians. 92g:53018 


53C Global differential geometry 


53C05 


Burlakov, M. P. Clifford connections on Riemannian spaces. (Russian) 92k:53040 

Cabras, Antonella (with Canarutto, D.) Systems of principal tangent-valued forms. (Italian 
summary) 92k:53041 

Canarutto, D. see Cabras, Antonella, 92k:53041 

Chern, Shiing Shen Transgression in associated bundles. 92g:53019 

Chi, Dong Pyo (with Yoon, Y. D.) On an affine connection which admits a volume-like 
form. 92e:53032 

DeTurck, Dennis M. (with Goldschmidt, Hubert; Talvacchia, Janet) Local existence of 
connections with prescribed curvature. (see 92m:00041) 

Dillen, Franki (with Vrancken, Luc) Canonical affine connection on complex hypersurfaces 
of the complex affine space. 92¢:53014 

Dodson, C. T. J. (with Vazquez-Abal, Maria Elena) Harmonic fibrations of the tangent 
bundle of order two. (Italian summary) 92a:53030 

El-Sabbagh, M. F. Connections, holonomy groups and solitons. 92k:53042 

Etayo Gordejuela, Fernando The Nijenhuis tensor of a pseudoconnection. (Spanish) (see 
92g:00024) 

— Kobayashi automorphism and liftings of linear connections. (Spanish. English summary) 
(see 92b:00044) 

— Connections in the second-order osculator-field bundle that preserve the osculation order. 
(Spanish. English summary) 92m:53040 

Fulp, Ronald O. Affine geometries defined by fiber preserving diffeomorphisms. 92g:53020 

Goldschmidt, Hubert see DeTurck, Dennis M.; et al., (92m:00041) 

Ikeda, Satoshi see Miron, Radu; et al., 92k:53045 

Kim, Hong-Jong Generalized connections and characteristic classes. 92i:53022 

Kovacs, Z. Some properties of associated pseudoconnections. 92k:53043 

Kress, L. M. Affine connections that allow four-term groups of infinitesimal transforma- 
tions. (Russian) 92a:53031 

Laquer, H. Turner Invariant affine connections on Lie groups. 92h:53031 

de Leén, Manuel see de Andrés, Luis C.; et al., 92g:53018 

Liang, Xi Quan Horizontal lifts of connections of order r on differential manifolds to bundle 
spaces and their corresponding curvature-torsion tensors. (Chinese. English summary) 
92g:53021 

Liu, Yu Fen Spinor connections and geometrization of fermions. 92b:53030 

Matsuo, Koji A symplectic semi-curvature-like tensor field and its application to the Kaehler 
manifolds. 92k:53044 

Miron, Radu (with Watanabe, Shdji; Ikeda, Satoshi) Cotangent bundle geometry. (French 
summary) 92k:53045 

Monar, D. Affine connections on manifolds with almost contact 3-structure. (Spanish) (see 
92g:00024) 

Peralta, Javier Quasiconnections in a module and some methods for generating them. 
(Spanish. English summary) (see 92b:00044) 

— Riemannian quasiconnections. (Spanish. English summary) 92e:53033 

Podesta, Fabio Projective submersions. 92a:53032 

Pugscagu, Elena Connexions linéaires attachées 4 une connexion spinorielle. II. (Romanian 
summary) [Linear connections associated with a spinor connection. II] 

Rodrigues, Paulo R. see de Andrés, Luis C.; et al., 92g:53018 

Rund, Hanno Adjoint connections on group manifolds and gauge transformations. 
92m:53041 

Shevchenko, Yu. I. General fundamental group connection from the standpoint of 
fibrations. (Russian) 

Singh, Ram Narayan see Sinha, B. B.; et al. 

Singh, Varanasi see Sinha, B. B.; et al. 

Sinha, B. B. (with Singh, Varanasi; Singh, Ram Narayan) On curvature of holomorphically 
semi-symmetric connection. II. (Hindi. English summary) 

Socolovsky, M. Gauge transformations and fiber bundle theory. 92m:53042 

Talvacchia, Janet see DeTurck, Dennis M.; et al., (92m:00041) 

Trentevski, Kostadin On the strictly parallel subbundles of vector bundles. (Macedonian 
summary) 92m:53043 

Vassiliou, Efstathios On affine extensions of the holonomy homomorphisms of flat principal 
bundles. 92a:53033 

Vazquez-Abal, Maria Elena see Dodson, C. T. J., 92a:53030 

Vondra, Alexandr Natural dynamical connections. 92k:53046 

Vrancken, Luc see Dillen, Franki, 92c:53014 

Watanabe, Shéji see Miron, Radu; et al., 92k:53045 

Wilkins, David R. On the length of loops generating holonomy groups. 92h:53032 

Yoon, Y. D. see Chi, Dong Pyo, 92e:53032 


Items with secondary classifications in 53C05 


Abbati, Maria Cristina (with Cirelli, Renzo; Mania, Alessandro) The orbit space of the 
action of gauge transformation group on connections. 92b:58032 

Balandin, A. V. A system of differential equations that admits a zero curvature representa- 
tion. (Russian) 92a:58058 

Banu, Olga see Simionescu, Corneliu; et al., 92k:53058 

Bucki, Andrzej Geodesics of conjugate connections in the principal fibre bundle of linear 
frames. 92¢:53022 

Chacon, R. V. (with Fomenko, A. T.) Stokes’ formula for Lie algebra valued connection and 
curvature forms. 92m:53116 

Cirelli, Renzo see Abbati, Maria Cristina; et al., 92b:58032 

Di Terlizzi, L. (with Verroca, F.) Affine connections for 2-osculating vector fields and 
geodesics. 92e:53056 

Fomenko, A. T. see Chacon, R. V., 92m:53116 

Fronsdal, Christian What is a covariant derivative? 92f:53083 

Galaev, S. V. Finsler structures from the point of view of the geometry of tangent bundles. 
(Russian) 92b:53113 

Garcia Pérez, Pedro L. (with Muiioz Masqué, Jaime) Differential invariants on the bundles 
of linear frames. 92h:53033 

Hernandez Rocamora, Antonio Weak-harmonic distributions with respect to the characteris- 
tic connection. 92d:53033 

Islam, Quamrul On gravitational fields generated by nongravitational fields. (Bengali 
summary) 92b:53119 





53C05 


Kasper, U. Fibre bundles: an introduction to concepts of modern differential geometry. 
92g:53002 

Koike, Naoyuki Foliations on a Riemannian manifold and Ehresmann connections. 
924:53028 

Kossowski, Marek (with Thompson, Gerard) Submersive second order ordinary differen- 
tial equations. 92k:58013 

Kubarski, Jan Lie algebroid of a principal fibre bundle. 92h:58206 

Laquer, H. Turner Invariant affine connections on symmetric spaces. 92i:53047 

Mania, Alessandro see Abbati, Maria Cristina; et al., 92b:58032 

Marsden, J. E. (with Ratiu, T. S.; Raugel, Genevieve) Symplectic connections and the 
linearisation of Hamiltonian systems. 92k:58083 

Merkulov, S. A. Twistor transform on conformally Einstein quaternionic manifolds. 
(Russian) 92¢:32036 

Mikheev, P.O. Almost symmetric and antisymmetric spaces with affine connection. 
(Russian) 92k:53090 

Milhorat, Jean-Louis Connexions conformes sur un fibré vectoriel. (English summary) 
[Conformal connections on a vector bundle] 92a:53091 

Miyaoka, Reiko (with Ozawa, Tetsuya) Construction of taut embeddings and Cecil-Ryan 
conjecture. 92:53071 

— Lie contact structures and normal Cartan connections. 92d:53025 

— Lie contact structures and conformal structures. 924:53026 

Monar, D. see Montesdeoca, A., (92b:00044) 

Montesdeoca, A. (with Monar, D.) Generalization of the construction of twistor spaces for 
odd-dimensional manifolds. (Spanish. English summary) (see 92b:00044) 

Muiioz Masqué, Jaime see Garcia Pérez, Pedro L., 92h:53033 

Munteanu, Gheorghe Metric almost tangent structures of the second order. 92a:53049 

Neifel’d, E.G. Normalization of complex Grassmannians and quadrics. (Russian) 
92¢:53005 G eG 

Nicolescu, Livia Champs presque (F, F,---, F )-principaux. [Almost (F, F,---, F )-principal 
fields] 92b:53019 

Ovesea, Horiana see Simionescu, Corneliu; et al., 92k:53058 

Ozawa, Tetsuya see Miyaoka, Reiko, 92f:53071 

Pasini, Antonello Precessions of opposite chirality for the spin vector in a Riemann-Cartan 
framework. 92a:53097 

Ratiu, T.S. see Marsden, J. E.; et al., 92k:58083 

Raugel, Genevieve see Marsden, J. E.; et al., 92k:58083 

Simionescu, Corneliu (with Banu, Olga; Ovesea, Horiana) Détermination des algébres 
plates invariantes 4 gauche et des variétés affines associées 4 un groupe Lie résoluble G3. 
(Romanian summary) [Determining left-invariant flat algebras and affine manifolds 
associated with the solvable Lie group G3] 92k:53058 

Stone, Alexander P. On a covariant constant vector 1-form. 92g:58004 

Suvorov, V. V. Morphisms of G-spaces that determine invariant framings and connections. 
(Russian) 92k:53087 

Teleman, Nicolae The algebra of piecewise differentiable currents on smooth manifolds. 
92h:58005 

— Characteristic classes of piecewise differentiable affine connections on smooth manifolds. 
92h:58006 

Thompson, Gerard see Kossowski, Marek, 92k:58013 

Tondeur, Philippe (with Vanhecke, Lieven) Transversally symmetric Riemannian 
foliations. 92e:53038 

Trofimov, V. V. Connections on manifolds and new characteristic classes. 92i:57024 

Vanhecke, Lieven see Tondeur, Philippe, 92e:53038 

Verroca, F. see Di Terlizzi, L., 92e:53056 


53C07 Special connections and metrics on vector bundles 
(Hermite-Einstein- Yang-Mills) [see also 32L07] 


Atiyah, Michael Francis (with Hitchin, Nigel J.) * Teomerpusa 4 2HHaMHKa MarHUTHBIX 
Moxonosek. (Russian) [The geometry and dynamics of magnetic monopoles] 92i:53023 

DeTurck, Dennis M. (with Goldschmidt, Hubert; Talvacchia, Janet) Connections with 
prescribed curvature and Yang-Mills currents: the semi-simple case. 92a:53034 

Fujiki, Akira Hyper-Kahler structure on the moduli space of flat bundles. 92m:53044 

Galicki, Krzysztof (with Poon, Yat Sun) Duality and Yang-Mills fields on quaternionic 
Kahler manifolds. 92i:53024 

Goldschmidt, Hubert see DeTurck, Dennis M.; et al., 92a:53034 

Hitchin, Nigel J. see Atiyah, Michael Francis, 92i:53023 

Itoh, Mitsuhiro (with Nakajima, Hiraku) Yang-Mills connections and Einstein-Hermitian 
metrics. 92m:53045 

Ivanova, T. A. (with Popov, A. D.) Self-dual Yang-Mills fields and Nahm’s equations. 
92k:53047 

Kronheimer, Peter B. A hyper-Kahlerian structure on coadjoint orbits of a semisimple 
complex group. 92b:53031 

Kinzle, H. P. SU(n)-Einstein-Yang-Mills fields with spherical symmetry. 92i:53025 

Matsunaga, Hiromichi Conformal compactification of R? x S'. 924:53024 

— Note on periodic instantons. 92m:53046 

Nakajima, Hiraku see Itoh, Mitsuhiro, 92m:53045 

Nitta, Takashi Yang-Mills connections on quaternionic Kahler quotients. 92g:53022 

(Ogievetskii, O. V.) see Atiyah, Michael Francis, 92i:53023 

Poon, Yat Sun see Galicki, Krzysztof, 92i:53024 

Popov, A. D. see Ivanova, T. A., 92k:53047 

Smith, Penny D. Removable singularities for the Yang-Mills-Higgs equations in two 
dimensions. (French summary) 92a:53035 

Suh, Young Jin On the anti-self-duality of the Yang-Mills connection over higher- 
dimensional Kaehlerian manifold. 92a:53036 

Talvacchia, Janet see DeTurck, Dennis M.; et al., 92a:53034 


Items with secondary classifications in 53C07 


Anastasiei, Mihai (with Kawaguchi, Hiroaki) A geometrical theory of time dependent 
Lagrangians. II. M-connections. 92f:58048 


DIFFERENTIAL GEOMETRY 1992 886 


Atiyah, Michael Francis (with Jeffrey, L.) Topological Lagrangians and cohomology. 
92:58025 

Au, Chi see To, F. T.; et al., 92j:58024 

Babadshanjan, Franka (with Habermann, Lutz) A family of metrics on the moduli space of 
BPST-instantons. 92i:58030 

Boyer, Charles P. (with Mann, Benjamin M.; Waggoner, Daniel) On the homology of 
SU(n) instantons. 92a:58021 

Burlakov, M. P. Clifford connections on Riemannian spaces. (Russian) 92k:53040 

Cho, Yong Seung Finite group actions on self-dual 4-manifolds with positive scalar 
curvature. 92¢:57035 

Choquet-Bruhat, Yvonne Yang-Mills-Higgs fields in three space time dimensions. 92i:58044 

De Michelis, Stefano On manifolds diffeomorphic on the complement of a point. (Italian 
summary) 92k:57060 

Doi, Hideo (with Kobayashi, Katsuhiro) Asymptotic behavior of three Riemannian metrics 
on the moduli space of 1-instantons over a definite 4-manifold. 92:58028 

Dostoglou, S. On the asymptotics of finite energy solutions of the Yang-Mills-Higgs 
equations. 92d:58041 

Fischer, H. R. (with Fisher, R. J., Jr.) Simple partial connections and the Einstein 
condition. 92k:32052 

Fisher, R. J., Jr. see Fischer, H. R., 92k:32052 

Fung, P.C. W. see To, F. T.; et al., 92j:58024 

Gocho, Toru (with Nakajima, Hiraku) Einstein-Hermitian connections on hyper-Kahler 
quotients. 92k:53079 

Habermann, Lutz see Babadshanjan, Franka, 92i:58030 

Hitchin, Nigel J. Gauge theory on Riemann surfaces. 92a:32024 

— The geometry and topology of moduli spaces. 92a:58023 

Itoh, Mitsuhiro Poincaré bundle and Chern classes. 92m:32051 

Jeffrey, L. see Atiyah, Michael Francis, 92f:58025 

Kawaguchi, Hiroaki see Anastasiei, Mihai, 92f:58048 

Kobayashi, Katsuhiro see Doi, Hideo, 92f:58028 

Kotschick, D. SO(3)-invariants for 4-manifolds with b} = 1. 92m:57040 

Kronheimer, Peter B. (with Nakajima, Hiraku) Yang-Mills instantons on ALE gravitational 
instantons. 92e:58038 

Li, Kang The patch property of self-dual Yang-Mills field. 92e:81148 

Libke, Martin A note on positivity of Einstein bundles. 92k:32054 

Madore, J. Kaluza-Klein aspects of noncommutative geometry. 92j:58007 

Mann, Benjamin M. see Boyer, Charles P.; et al., 92a:58021 

Marini, Antonella Boundary value problems for Yang-Mills connections. (French summary) 
92c:58020 

Nag, Subhashis Self-dual connections, hyperbolic metrics and harmonic mappings on 
Riemann surfaces. 92m:58027 

Nakajima, Hiraku Moduli spaces of anti-self-dual connections on ALE gravitational 
instantons. 92a:58024 

— see also Kronheimer, Peter B., 92e:58038 and Gocho, Toru, 92k:53079 

Ohyama, Yousuke Self-duality and integrable systems. 92d:58086 

Shen, Chun Li Monotonicity formula and partial regularity results in Yang-Mills flow. (see 
92m:35004) 

Shiffman, Bernard Cohomology and splitting of Hermitian-Einstein vector bundles. 
92:32052 

Stafford, Seth A stochastic criterion for Yang-Mills connections. 92d:58219 

To, F.T. (with Fung, P. C. W.; Au, Chi) Exact soliton solutions to the classical nonabelian 
Yang-Mills gauge field. 92j:58024 

Trofimov, V. V. Symplectic connections and Maslov-Arnol’d characteristic classes. 
92m:57033 

Waggoner, Daniel see Boyer, Charles P.; et al., 92a:58021 

Yoshida, Tomoyoshi Floer homology and splittings of manifolds. 92m:57041 


53C10 G-structures 


Balashchenko, V. V. (with Stepanov, N. A.) Canonical affinor structures on regular ®- 
spaces. (Russian) 92¢:53034 

Ferraris, Marco see Gatto, Letterio; et al., 92a:53037 

Francaviglia, Mauro see Gatto, Letterio; et al., 92a:53037 

Garcia Pérez, Pedro L. (with Muiioz Masqué, Jaime) Differential invariants on the bundles 
of linear frames. 92h:53033 

Gatto, Letterio (with Ferraris, Marco; Francaviglia, Mauro) Remarks on right-invariant 
vectorfield bases in principal bundles and their applications to decomposition theorems. 
92a:53037 

Konderak, Jerzy J. Fibre bundles associated with fields of geometric objects and the 
structure tensor. 92e:53035 

Marcinek, Wiadystaw Clifford structures on real vector spaces and manifolds. 92e:53036 

Miyaoka, Reiko Lie contact structures and normal Cartan connections. 924:53025 

— Lie contact structures and conformal structures. 92d:53026 

Muiioz Masqué, Jaime see Garcia Pérez, Pedro L., 92h:53033 

Shurygin, V. V. Lifts of G-structures on an A-jet bundle. (Russian) 92d:53027 

Stepanov, N. A. see Balashchenko, V. V., 92e:53034 

Takagi, Hitoshi (with Yawata, Makoto) Infinitesimal isometries of frame bundles with 
natural Riemannian metric. 92b:53032 

Wood, C.M. H-structures and curvature. 92b:53033 

Yawata, Makoto see Takagi, Hitoshi, 92b:53032 


Items with secondary classifications in 53C10 


Akivis, M. A. Three-webs and closed G-structures. (see 92f:53003) 

Akiyama, Hiroshi Stochastic flows of automorphisms of G-structures of degree r. 92e:58230 

Bartik, Vojtéch (with Vanzura, Jiti) Losik cohomology of the Lie algebra of infinitesimal 
automorphisms of a G-structure. II. 92d:58225 

Chern, Shiing Shen Transgression in associated bundles. 92g:53019 

Fujio, Mitsuhiko Super G-structures of finite type. 92c:58005 

Islam, Quamrul On gravitational fields generated by nongravitational fields. (Bengali 
summary) 92b:53119 





887 1992 


Kamran, Niky Contributions to the study of the equivalence problem of Elie Cartan and its 
applications to partial and ordinary differential equations. (French summary) 92h:58008 

Leites, D. A. (with Serganova, V. V.; Vinel, G.) Classical superspaces and related structures. 
92k:58018 

Papadopoulos, N. A. G-spaces and Kaluza-Klein theory. (see 92f:81009) 

Serganova, V. V. see Leites, D. A.; et al., 92k:58018 

Shadwick, William F. (with Sluis, W.M.) On E. Cartan’s absolute equivalence of 
differential systems. (French summary) 92g:58005 

Sluis, W. M. see Shadwick, William F., 92g:58005 

Vaniura, Jiti see Bartik, Vojtéch, 92d:58225 

Vinel, G. see Leites, D. A.; et al., 92k:58018 


53C12 Foliations (differential geometric aspects) [see also 57R30, 
57R32] 


Alvarez Lopez, Jestis A. On Riemannian foliations with minimal leaves. (French summary) 
92a:53038 

Aso, Kazutoshi (with Yorozu, Shinsuke) A generalization of Clairaut’s theorem and umbilic 
foliations. 92m:53047 

Baird, Paul (with Wood, John C.) Harmonic morphisms and conformal foliations by 
geodesics of three-dimensional space forms. 92k:53048 

Barbosa, J. L.M. (with Kenmotsu, K.; Oshikiri, Gen-ichi) Foliations by hypersurfaces with 
constant mean curvature. 92b:53034 

Hebda, James J. An example relevant to curvature pinching theorems for Riemannian 
foliations. 92c:53015 

Kenmotsu, K. see Barbosa, J. L. M.; et al., 92b:53034 

Kilp, Helgi Backlund transformations and geometry of multidimensional three-webs. 
92h:53034 

Kim, Hobum (with Tondeur, Philippe) Riemannian foliations on manifolds with nonnega- 
tive curvature. 92k:53049 

Koike, Naoyuki Foliations on a Riemannian manifold and Ehresmann connections. 
924:53028 

Li, Zhi-Bo Harmonic foliations on the sphere. 92m:53048 

Libermann, Paulette Legendre foliations on contact manifolds. 92h:53035 

Miernowski, Andrzej (with Mozgawa, Witold) On Molino lifting of Riemannian vector 
fields. 92a:53039 

Min-Oo, Maung (with Ruh, Ernst A.; Tondeur, Philippe) A comparison theorem for almost 
Lie foliations. 92e:53037 

Molino, Pierre Feuilletages presque-isométriques et structures de Poisson-Riemann. 
[Almost isometric foliations and Poisson-Riemann structures] 92k:53050 

Mozgawa, Witold see Miernowski, Andrzej, 92a:53039 

Oh, Ge Hwan (with Pak, Jin Suk) A note on L?-transverse conformal fields on complete 
foliated Riemannian manifolds. 92a:53040 

— (with Pak, Jin Suk) Transverse conformal fields on foliated Riemannian manifolds. 
92a:53041 

Oshikiri, Gen-ichi Mean curvature functions of codimension-one foliations. II. 92m:53049 

— see also Barbosa, J. L. M.; et al., 92b:53034 

Pak, Hong Kyung On the transversal conformal curvature tensor on Hermitian foliations. 
92h:53036 

Pak, Jin Suk see Oh, Ge Hwan, 92a:53040 and 92a:53041 

Park, Kwang Sung Transnormal systems on K P?. 

Ras i Sabid6, Antoni Killing fields preserving totally geodesic, codimension-one foliations. 
92g:53023 

Rovenskii, V. Yu. Totally geodesic foliations with an orthogonal distribution that is close to 
integrable. (Russian) 92k:53051 

Ruh, Ernst A. see Min-Oo, Maung; et al., 92e:53037 

Tanemura, T. see Yorozu, Shinsuke, 92e:53039 

Tondeur, Philippe (with Vanhecke, Lieven) Transversally symmetric Riemannian 
foliations. 92¢:53038 

— see also Min-Oo, Maung; et al., 92e:53037 and Kim, Hobum, 92k:53049 

Tong Van-Du'’c Relévements dans le fibré transverse d’un feuilletage d’une variété 
riemannienne. [Liftings in the transverse bundle of a foliation of a Riemannian manifold] 
92d:53029 

— Relévements dans le fibré conormal d’un feuilletage d’une variété riemannienne. (English 
summary) [Liftings in the conormal bundle of a foliation of a Riemannian manifold] 
92k:53052 

Vanhecke, Lieven see Tondeur, Philippe, 92e:53038 

Walczak, Pawel G. On quasi-Riemannian foliations. 92m:53050a 

— Erratum to the paper: “On quasi-Riemannian foliations”. 92m:53050b 

Wood, John C. see Baird, Paul, 92k:53048 

Ye, Rugang Foliation by constant mean curvature spheres. 92f:53030 

Yorozu, Shinsuke (with Tanemura, T.) Green’s theorem on a foliated Riemannian 
manifold and its applications. 92e:53039 

— see also Aso, Kazutoshi, 92m:53047 


Items with secondary classifications in 53C12 


Adams, S. R. Superharmonic functions on foliations. 92f:58132 

Alvarez Lépez, Jestis A. (with Tondeur, Philippe) Hodge decomposition along the leaves of 
a Riemannian foliation. 92f:58172 

Amur, Krishna (with Venkataramana, R. S.) On a foliated and parametric minimal 
hypersurface in Euclidean space. 92i:53009 

Besson, Gérard (with Bordoni, Manlio) On the spectrum of Riemannian submersions with 
totally geodesic fibers. (Italian summary) 92a:58144 

Bordoni, Manlio see Besson, Gérard, 92a:58144 

Edelen, Dominic G. B. Ideals and solutions of nonlinear field equations. 92a:58004 

El Kacimi-Alaoui, Aziz Examples of foliations and problems in transverse complex analysis. 
92k:58211 

— Opérateurs transversalement elliptiques sur un feuilletage riemannien et applications. 
(English summary) [Transversely elliptic operators on a Riemannian foliation, and 
applications] 92k:58259 


53C Global differential geometry 


53C15 


Farrell, F.T. (with Jones, Lowell Edwin) Foliated control without radius of injectivity 
restrictions. 92d:57025 

Glazebrook, James F. (with Kamber, Franz W.) Determinant line bundles for Hermitian 
foliations and a generalized Quillen metric. 92i:58201 

— (with Kamber, Franz W.) On spectral flow of transversal Dirac operators and a theorem 
of Vafa-Witten. 92i:58180 

— (with Kamber, Franz W.) Transversal Dirac families in Riemannian foliations. 
92j:58103 

Gromov, Mikhael L. Foliated Plateau problem. I. Minimal varieties. 92b:53064 

Haefliger, André (with Salem, Eliane) Riemannian foliations on simply connected 
manifolds and actions of tori on orbifolds. 92¢:57025 

Hardt, R. (with Rosenberg, Harold) Open book structures and unicity of minimal 
submanifolds. (French summary) 92e:53009 

Heitsch, James L. (with Lazarov, Connor) Homotopy invariance of foliation Betti 
numbers. 92b:58219 

— (with Lazarov, Connor) Rigidity theorems for foliations by surfaces and spin manifolds. 
92b:58220 

Jones, Lowell Edwin see Farrell, F. T., 92d:57025 

Kamber, Franz W. see Glazebrook, James F., 92i:58180; 92i:58201 and 92j:58103 

Kang, Tae-Ho (with Kitahara, Haruo; Pak, Jin Suk) A formula for the radial part of the 
Laplace-Beltrami operator on the Riemannian foliation. 92i:58205 

Kitahara, Haruo see Kang, Tae-Ho; et al., 92i:58205 

Lazarov, Connor see Heitsch, James L., 92b:58219 and 92b:58220 

Macias, Enrique (with Sanmartin Carb6én, Esperanza) Foliation of a Lie group defined by a 
Lie subgroup. (Spanish. English summary) (see 92m:00050) 

Min-Oo, Maung (with Ruh, Ernst A.; Tondeur, Philippe) Vanishing theorems for the basic 
cohomology of Riemannian foliations. 92b:58218 

Molino, Pierre La géométrie différentielle des feuilletages dans Il’ceuvre de B. Reinhart. [The 
differential geometry of foliations in the works of B. Reinhart] 92h:01072b 

Pak, Jin Suk see Kang, Tae-Ho; et al., 92i:58205 

Pitis, Gheorghe Integration on Riemannian foliated manifolds. (Romanian summary) 
92g:58003 

(Reinhart, Bruce L.) see Molino, Pierre, 92h:01072b 

Rosenberg, Harold see Hardt, R., 92e:53009 

Ruh, Ernst A. see Min-Oo, Maung; et al., 92b:58218 

Salem, Eliane see Haefliger, André, 92c:57025 

Sanmartin Carbén, Esperanza see Macias, Enrique, (92m:00050) 

Suzuki, Haruo Holonomy groupoids of generalized foliations. II. Transverse measures and 
modular classes. 92f:57039 

Tondeur, Philippe see Min-Oo, Maung; et al., 92b:58218 and Alvarez Lépez, Jestis A., 
92£:58172 

Venkataramana, R.S. see Amur, Krishna, 92i:53009 

Zhukova, N.1. Global stability of foliations with second-order differential equations on 
leaves. (Russian) 92e:58160 


53C15 General geometric structures on manifolds (almost 
complex, contact, symplectic, almost product structures, 
etc.) 


Al-Ageel, Adnan S. H. Submanifolds of a differentiable manifold with an F(2q + 3, 1)- 
structure. (Arabic summary) 92m:53051 

Alexiev, Valentin A. see Hristov, Milen J., 92g:53026 

de Andrés, Luis C. (with Fernandez, Marisa Luisa; Mencia, José J.) Curvature and complex 
geometry on the Kodaira-Thurston manifold. 92b:53035 

Atanasiu, Gheorghe (with Klepp, Francisc C.) Almost product structures on the cotangent 
bundle. (French summary) 92h:53037 

— Structures presque complexes sur 7* M. [Almost complex structures on T7*M] 92a:53042 

Audin, Michele Exemples de variétés presque complexes. [Examples of almost complex 
manifolds] 92g:53024 

Banu, Olga see Simionescu, Corneliu; et al., 92k:53058 

Bates, Larry M. (with Peschke, Georg) A remarkable symplectic structure. 92¢:53040 

Battaglia, Fiammetta Linear almost complex structures on S°. 92a:53043 

Bejan, Cornelia-Livia CR-submanifolds of hyperbolic almost Hermitian manifolds. 
92b:53036 

— F-characteristic classes. 92k:53053 

Bitis, Gr. On the existence of a unique harmonic or Killing vector field. 92k:53054 

Blair, David E. (with Sharma, Ramesh) Three-dimensional locally symmetric contact 
metric manifolds. (Italian summary) 924:53030 

Bonome, A. (with Tarrio, Ana D.) Some results on f-para-structures. (Spanish. English 
summary) (see 92b:00044) 

— (with Hervella, L. M.; Rozas, J. Inaki) On the classes of almost Hermitian structures on 
the tangent bundle of an almost contact metric manifold. 92e:53041 

Bonome, E. (with Castro, Regina; Hervella, L.M.) On an almost complex structure with 
Norden metric on the tangent bundle of an almost Hermitian manifold. 92a:53044 

Bucki, Andrzej Semi-invariant submanifolds of almost r-paracontact Riemannian 
manifolds. 92f:53031 

Cabrerizo, José L. (with Fernandez, Luis M.; Fernandez Andrés, Manuel) The curvature 
tensor fields on f-manifolds with complemented frames. 92d:53031 

Calapso, M.T. (with Rosca, Radu) Semi-cosymplectic manifolds. (French summary) 
92i:53026 

Castro, Regina (with Rio, E.G.) g-Norden manifolds. (Spanish. English summary) (see 
92b:00044) 

— (with Tarrio, Ana D.) Almost Hermitian structures on the frame bundle of an almost 
Hermitian manifold. 92b:53037 

— see also Bonome, E.; et al., 92a:53044 

Chinea, Domingo (with Marrero, Juan Carlos) Geometric conditions for an LCC manifold 
to be cosymplectic. (Spanish. English summary) (see 92b:00044) 

— (with Perestelo, P. S.) Invariant submanifolds of a trans-Sasakian manifold. 92g:53025 

— see also Padrén, Edith; et al., (92g:00024) 





53C15 


Cordero, Luis A. (with Fernandez, Marisa Luisa; Gray, Alfred) Lie groups with no left 
invariant complex structures. 92f:53032 

— (with Fernandez, Marisa Luisa; Gray, Alfred) Minimal models in differential geometry. 
(Spanish) 92h:53038 

Das, L. S. On almost r-contact structures with derivatives. 

De Bartolomeis, Paolo Some new global results in twistor geometry. 92k:53055 

Deshmukh, Sharief Contact metric hypersurfaces of C?. 92b:53038 

— Almost complex surfaces in the nearly Kaehler S°. 92k:53056 

Deszyiiski, Krzysztof Notes on polynomial structures equipped with a Lorentzian metric. 
92h:53039 

Djori¢é, M. (with Vanhecke, Lieven) Almost Hermitian geometry, geodesic spheres and 
symmetries. 92b:53039 

Doganaksoy, Ali An integrability condition for plane fields determined by an f-structure. 
(Turkish summary) 92k:53057 

Dressayre-Nourrigat, Michéle Structures symplectiques exotiques sur R‘ (d’aprés L. Bates et 
G. Peschke). (English summary) [Exotic symplectic structures in R‘ (after L. Bates and G. 
Peschke)] 92i:53027 

Dufour, Jean-Paul (with Haraki, Abdeljalil) Rotationnels et structures de Poisson 
quadratiques. (English summary) [Vector-field curls and quadratic Poisson structures] 
92a:53045 

Fernandez, Luis M. see Cabrerizo, José L.; et al., 92d:53031 

Fernandez, Marisa Luisa see de Andrés, Luis C.; et al., 92b:53035; Cordero, Luis A.; et al., 
92£:53032 and 92h:53038 : 

Fernandez Andrés, Manuel see Cabrerizo, José L.; et al., 92d:53031 

Friedland, Lew (with Hsiung, Chuan-Chih) A certain class of almost Hermitian manifolds. 
92b:53040 

Gadea, Pedro Martinez (with Mufioz Masqué, Jaime) Classification of almost para- 
Hermitian manifolds. (Italian summary) 92i:53028 

Gonzalez-Davila, José Carmelo (with Gonzalez-Davila, M.C.) Totally geodesic submani- 
folds in g-symmetric spaces. (Spanish. English summary) (see 92b:00044) 

— see also Gonzalez-Davila, M. C., (92b:00044) and Padrén, Edith; et al., (92g:00024) 

Gonzalez-Davila, M. C. (with Gonzalez-Davila, José Carmelo) Some observations 
concerning g-symmetric spaces. (Spanish. English summary) (see 92b:00044) 

— see also Gonzalez-Davila, José Carmelo, (92b:00044) 

Gray, Alfred see Cordero, Luis A.; et al., 92f:53032 and 92h:53038 

Haraki, Abdeljalil see Dufour, Jean-Paul, 92a:53045 

Hernandez Rocamora, Antonio Some geometric aspects of Riemannian (H* = /)-manifolds. 
(Spanish) (see 92g:00024) 

— Weak-harmonic distributions with respect to the characteristic connection. 924:53033 

Hervella, L.M. see Bonome, E.; et al., 92a:53044 and Bonome, A.; et al., 92e:53041 

Hristov, Milen J. (with Alexiev, Valentin A.) Subclasses of the conformal almost contact 
metric manifolds. (Bulgarian summary) 92g:53026 

Hsiung, Chuan-Chih see Friedland, Lew, 92b:53040 

Igarashi, Masayuki On quaternion Kahlerian Blaschke manifolds. 92f:53033 

Jeong, Jang Chun (with Lee, Jae Don; Oh, Ge Hwan; Pak, Jin Suk) On the contact 
conformal curvature tensor. 92a:53046 

Kamishima, Yoshinobu (with Tsuboi, Takashi) CR-structures on Seifert manifolds. 
92c:53016 

Klepp, Francisc C. see Atanasiu, Gheorghe, 92h:53037 

Kobayashi, Minoru Contact generic submanifolds of a certain class of almost contact 
manifolds. 92a:53047 

Koufogiorgos, T. see Sharma, Ramesh, 92i:53029 

Kushwaha, R. D.S. (with Maurya, S. L.) Ona generalized product manifold. 

Lee, Jae Don see Jeong, Jang Chun; et al., 92a:53046 

Liang, Xi Quan (with Wang, Lian Qun) The scalar curvature of S. Tanno’s connection on a 
contact Riemannian manifold. (Chinese. English summary) 92a:53048 

Marrero, Juan Carlos Some curvature properties of locally conformal co-Kahler manifolds. 
(Spanish. English summary) 92j:53011 

— see also Chinea, Domingo, (92b:00044) 

Martin Cabrera, Francisco Principal bundle with one-dimensional fiber over an almost 
contact 3-structure. (Spanish. English summary) (see 92b:00044) 

— Riemannian manifolds of dimension 7 with second-order vector cross product. (Spanish. 
English summary) (see 92b:00044) 

Maurya, S.L. see Kushwaha, R. D.S. 

McDuff, Dusa Symplectic manifolds with contact type boundaries. 92e:53042 

Mencia, José J. (with Oubifia, J. A.) Almost complex or almost contact structure on a 
metric f-manifold. (Spanish) (see 92g:00024) 

— see also de Andrés, Luis C.; et al., 92b:53035 

Mishra, R.S. Almost contact metric manifolds. 92h:53040 

Monar, D. (with Montesdeoca, A.) Topology of manifolds with almost contact 3-structures. 
(Spanish) (see 92g:00024) 

— see also Montesdeoca, A., (92b:00044) 

Montesdeoca, A. (with Monar, D.) Generalization of the construction of twistor spaces for 
odd-dimensional manifolds. (Spanish. English summary) (see 92b:00044) 

— see also Monar, D., (92g:00024) 

Muijioz Masqué, Jaime see Gadea, Pedro Martinez, 92i:53028 

Munteanu, Gheorghe Metric almost tangent structures of the second order. 92a:53049 

Musso, Emilio Contact twistors and conformal geometry. (Italian. English summary) 
92a:53050 

Nakashima, Yoshiki (with Watanabe, Yoshiyuki) Some constructions of almost Hermitian 
and quaternion metric structures. 92a:53051 

Narain, Dhruwa see Sinha, B. B., 92e:53044 

Nester, James M. Special orthonormal frames. 92j:53012 

Niki¢, Jovanka A naturally induced structure on a subspace of a space with an f(2k + 
1, —1)-structure. (Serbo-Croatian summary) 92j:53013 

— Conformal diffeomorphism between two f-manifolds. (Serbo-Croatian summary) 
92m:53052 

Oh, Ge Hwan see Jeong, Jang Chun; et al., 92a:53046 

Oubiiia, J. A. see Mencia, José J., (92g:00024) 

Ovesea, Horiana see Simionescu, Corneliu; et al., 92k:53058 


DIFFERENTIAL GEOMETRY 


1992 888 


Padrén, Edith (with Chinea, Domingo; Gonzalez-Davila, José Carmelo) A classification of 
almost contact homogeneous manifolds. (Spanish) (see 92g:00024) 
Pak, Jin Suk see Jeong, Jang Chun; et al., 92a:53046 


Pandey, S. B. (with Sharma, U.) On birecurrent almost O-manifold. 92f:53034 

Perestelo, P.S. see Chinea, Domingo, 92g:53025 

Pérez, Juan de Dios Conditions for quaternionic sectional curvature to be constant. 
92d:53032 

Perrone, Domenico Contact Riemannian manifolds satisfying R(X,¢)- R=0. 92m:53053 

Peschke, Georg see Bates, Larry M., 92e:53040 

Pulido Cejudo, Javier An equation of contact vector fields and commutators of contact 
diffeomorphisms. 92¢:53043 

PuSi¢é, Nevena On an invariant tensor of a conformal transformation of a hyperbolic 
Kaehlerian manifold. (Serbo-Croatian summary) 92j:53014 

Rio, E.G. see Castro, Regina, (92b:00044) 

Rosca, Radu see Calapso, M. T., 92i:53026 

Rozas, J. Inaki (with Santisteban, J. A.) Almost contact structures in the tangent sphere 
bundle of an almost Hermitian or almost contact manifold. (Spanish. English summary) 
(see 92b:00044) 

— see also Bonome, A.; et al., 92e:53041 

Rund, Hanno Adapted contact structures and parameter-dependent canonical transforma- 
tions. 92m:53054 

Santisteban, J. A. see Rozas, J. Inaki, (92b:00044) 

Sharma, Ramesh Second order parallel tensors on contact manifolds. 92b:53041 

— (with Koufogiorgos, T.) Locally symmetric and Ricci-symmetric contact metric 
manifolds. 92i:53029 

— see also Blair, David E., 924:53030 

Sharma, U. see Pandey, S. B., 92£:53034 

Shiga, Kiyoshi (with Takeuchi, Shigeru) Invariant complex structures on 4-dimensional 
solvable Lie groups. 92f:53035 

Simionescu, Corneliu (with Banu, Olga; Ovesea, Horiana) Détermination des algébres 
plates invariantes a gauche et des variétés affines associées 4 un groupe Lie résoluble G3. 
(Romanian summary) [Determining left-invariant flat algebras and affine manifolds 
associated with the solvable Lie group G3] 92k:53058 

Singh, K. D. (with Tripathi, Mukut Mani) On normal (e;,¢2,7)ac structure. 92k:53059 

Sinha, B. B. (with Narain, Dhruwa) Integrability condition of C manifold equipped unified 
structures. 92¢e:53044 

— (with Srivastava, Arun Kumar) Curvatures on Kenmotsu manifold. 92b:53042 

— (with Yadav, R.N.) Unified contact structure. 92f:53036 

Srivastava, Arun Kumar’ see Sinha, B. B., 92b:53042 

Takeuchi, Shigeru see Shiga, Kiyoshi, 92f:53035 

Tamia-Dimopoulou, P. A relationship between CR-structures and f-structures, satisfying 
f?+f=0. 92k:53060 

Tarrio, Ana D. On the frame bundle of a metric almost contact manifold. (Spanish) (see 
92g:00024) 

— Semi-invariant submanifolds of an almost product manifold. 92g:53027 

— see also Castro, Regina, 92b:53037 and Bonome, A., (92b:00044) 

Tripathi, Mukut Mani A note on an almost r-contact hyperbolic manifold. 

— see also Singh, K. D., 92k:53059 

Tshikuna-Matamba, T. Quelques classes des submersions métriques presque de contact. 
[Some classes of almost contact metric submersions] 92b:53043 

Tsuboi, Takashi see Kamishima, Yoshinobu, 92c:53016 

Turiel, Francisco-Javier Quelques exemples de couples de formes symplectiques compati- 
bles sur des variétés 4-compactes. (English summary) [Some examples of pairs of compat- 
ible symplectic forms on compact 4-manifolds] 92h:53041 

Vanhecke, Lieven see Djori¢é, M., 92b:53039 

Wang, Lian Qun see Liang, Xi Quan; et al., 92a:53048 

Watanabe, Yoshiyuki see Nakashima, Yoshiki, 92a:53051 

Weinstein, Alan Contact surgery and symplectic handlebodies. 92g:53028 

Yadav, R.N. see Sinha, B. B., 92£:53036 

Yamato, Kenji Examples of non-Kahler symplectic manifolds. 92b:53044 


Items with secondary classifications in 53C15 

Ahmad, Suab see Nivas, R., 92e:53086 

Anastasiei, Mihai (with Kawaguchi, Hiroaki) A geometrical theory of time dependent 
Lagrangians. I. Nonlinear connections. 92d:58048 

Audin, Michéle Quelques remarques sur les surfaces lagrangiennes de Givental’. (English 
summary) [Some remarks on the Givental’ Lagrangian surfaces] 92i:57022 

Bates, Larry M. An exotic symplectic R*. 92m:58040 

Blair, David E. Critical associated metrics on contact manifolds. III. 92d:58038 

Boyom, Michel Nguiffo B. Sur quelques questions de géométrie symplectique. (English 
summary) [On some questions of symplectic geometry] 92b:58065 

Bucki, Andrzej Hypersurfaces of almost r-paracontact Riemannian manifolds. 92a:53073 

Bueken, Peter (with Vanhecke, Lieven) Reflections in contact geometry. 92b:53068 

Burstall, F.E. Riemannian twistor spaces and holonomy groups. 92b:53110 

Calapso, M. T. Quasi Sasakian manifolds endowed with a 1-conformal cosymplectic 
structure. (Italian summary) 92¢:53026 

Capursi, M. (with Dragomir, Sorin) Contact Cauchy-Riemann submanifolds of odd- 
dimensional spheres. (Serbo-Croatian summary) 92d:53046 

Chinea, Domingo (with de Leén, Manuel; Marrero, Juan Carlos) Locally conformal 
cosymplectic manifolds and time-dependent Hamiltonian systems. 92k:58079 

— see also Marrero, Juan Carlos, (92b:00044) 

Cordero, Luis A. Compact complex nilmanifolds. Some recent results. (see 92b:00044) 

Courant, Ted Tangent Dirac structures. 92d:58064 

Dazord, Pierre (with Lichnerowicz, André; Marle, Charles-Michel) Structure locale des 
variétés de Jacobi. (English summary) [Local structure of Jacobi manifolds] 92a:58044 

Deng, Shangrong The second variation of the Dirichlet energy on contact manifolds. 
92):58022 

Diaz Miranda, Antonio Nondegenerate homogeneous Pfaff systems. (Spanish) 92k:58010 

Dillen, Franki (with Opozda, Barbara; Verstraelen, Leopold; Vrancken, Luc) On almost 





889 1992 


complex surfaces of the nearly Kaehler 6-sphere. (Serbo-Croatian summary) 92a:53074 

— (with Verstraelen, Leopold; Vrancken, Luc) On problems of U. Simon concerning 
minimal submanifolds of the nearly Kaehler 6-sphere. 92b:53087 

Dragomir, Sorin see Capursi, M., 92d:53046 

Eliashberg, Yakov Three lectures on symplectic topology in Cala Gonone. Basic notions, 
problems and some methods. 92f:58057 

— New invariants of open symplectic and contact manifolds. 92¢:58030 

Endo, Hiroshi On Ricci curvatures of certain submanifolds in contact metric manifolds. 
92h:53068 

— On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor. 
92m:53079 

— On invariant submanifolds of contact metric manifolds. 924:53049 

Fernandez, Luis M. CR-products of S-manifolds. 92b:53088 

Fernandez, Marisa Luisa (with Gray, Alfred; Morgan, John Willard) Compact symplectic 
manifolds with free circle actions, and Massey products. 92e:57049 

Frescura, F. A.M. (with Lubczonok, G.) Associated symplectic and co-symplectic 
structures. 92b:58078 

Galicki, Krzysztof (with Poon, Yat Sun) Duality and Yang-Mills fields on quaternionic 
Kahler manifolds. 92i:53024 

Gatto, Letterio An introduction to hypersymplectic vector spaces. (Italian summary) 
92m:15020 

Goldman, William M. The symplectic geometry of affine connections on surfaces. 
92a:58022 

Gray, Alfred see Fernandez, Marisa Luisa; et al., 92e:57049 

Grigore, D. R. (with Popp, Octavian T.) Erratum: “The complete classification of 
generalized homogeneous symplectic manifolds” [J. Math. Phys. 30 (1989), no. 11, 2476- 
2483; MR 90i:58052]. 92a:58045 

Hashimoto, Hideya Oriented 5-dimensional submanifolds in the purely imaginary 
octonians. 92j:53024 

Ikeda, Satoshi see Miron, Radu; et al., 92k:53045 

Isachenko, N. A. Uniformly quasiconformal discontinuous groups that are not isomorphic 
to Mébius groups. (Russian) 92f:30063 

Jeong, Jang Chun see Pak, Jin Suk; et al., 92i:58200 

Kaneyuki, Soji On a remarkable class of homogeneous symplectic manifolds. 92j:53022 

Kawaguchi, Hiroaki see Anastasiei, Mihai, 92d:58048 

Kim, Byung Hak Fibred Riemannian spaces with quasi Sasakian structure. 92c:53028 

Kim, Hyuk (with Lee, Hyunkoo) The Euler characteristic of a certain class of projectively 
flat manifolds. 92h:57043 

Kim, Woon-Taek see Pak, Jin Suk; et al., 92i:58200 

Kobayashi, Minoru Some results on anti-quaternion submanifolds in Kaehler quaternion 
manifolds. 92b:53095 

— Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu 
manifolds. 92k:53102 

Kon, Masahiro see Yano, Kentaro, 92k:53109 

Kon, S. H. (with Tan, Sin Leng) CR-submanifolds of a nearly Kaehlerian manifold. 
92¢:53051 

Lafontaine, Jacques A nonlinear Hadamard theorem. 92e:58022 

Lalonde, Francois (with Sikorav, Jean-Claude) Sous-variétés lagrangiennes et lagrangiennes 
exactes des fibrés cotangents. [Lagrangian and exact Lagrangian submanifolds of 
cotangent bundles] 92f:58060 

LeBrun, Claude Thickenings and conformal gravity. 92h:83052 

Lee, Hyunkoo see Kim, Hyuk, 92h:57043 

Lempert, Laszlé (with Széke, Rébert) Global solutions of the homogeneous complex 
Monge-Ampére equation and complex structures on the tangent bundle of Riemannian 
manifolds. 92m:32022 

de Leén, Manuel (with Rodrigues, Paulo R.) Almost contact structures and time-dependent 
Lagrangians. 92b:58071 

— see also Chinea, Domingo; et al., 92k:58079 

Lerner, Nicolas Opérateurs pseudo-différentiels et capacités symplectiques. [Pseudodiffer- 
ential operators and symplectic capacities] 92d:58204 

Li, Zhong Lin (with Shen, Zong Qi) Some infinitesimal transformations of LP-Sasakian 
manifolds. (Chinese) 92b:53070 

Libermann, Paulette Legendre foliations on contact manifolds. 92h:53035 

Lichnerowicz, André see Dazord, Pierre; et al., 92a:58044 

La, Jiang-Hua Momentum mappings and reduction of Poisson actions. 92j:58036 

Lubczonok, G. see Frescura, F. A. M., 92b:58078 

Marle, Charles-Michel see Dazord, Pierre; et al., 92a:58044 

Marrero, Juan Carlos (with Chinea, Domingo) On trans-Sasakian manifolds. (Spanish. 
English summary) (see 92b:00044) 

— see also Chinea, Domingo; et al., 92k:58079 

Martin, Geoffrey Almost Hermitian geometries that characterize Hamilton-Jacobi 
distributions. 92h:58070 

Matsuo, Koji A symplectic semi-curvature-like tensor field and its application to the Kaehler 
manifolds. 92k:53044 

McDuff, Dusa Blow ups and symplectic embeddings in dimension 4. 92m:57039 

Mikheev, P.O. Almost symmetric and antisymmetric spaces with affine connection. 
(Russian) 92k:53090 

Miron, Radu (with Watanabe, Shdji; Ikeda, Satoshi) Cotangent bundle geometry. (French 
summary) 92k:53045 

Miyaoka, Reiko Lie contact structures and normal Cartan connections. 92d:53025 

— Lie contact structures and conformal structures. 92d:53026 

Molino, Pierre Feuilletages presque-isométriques et structures de Poisson-Riemann. 
[Almost isometric foliations and Poisson-Riemann structures] 92k:53050 

Monar, D. Affine connections on manifolds with almost contact 3-structure. (Spanish) (see 
92g:00024) 

Morgan, John Willard see Fernandez, Marisa Luisa; et al., 92e:57049 

Mrnugala, Ryszard (with Nulton, James D.; Schén, J. Christian; Salamon, Peter) Contact 
structure in thermodynamic theory. 92j:80002 

Muller, Marie-Paule Une structure symplectique sur R® avec une sphére lagrangienne 
plongée et un champ de Liouville complet. [A symplectic structure in R® with an 


53C Global differential geometry 


embedded Lagrangian sphere and a complete Liouville field] 92c:58038 

Narain, Dhruwa see Upadhyay, S. K., 92e:53088 

Neifel’d, E.G. Normalization of complex Grassmannians and quadrics. (Russian) 
92¢:53005 

Nivas, R. (with Ahmad, Suab) Submanifolds of codimension r of a H-structure manifold. 
92¢e:53086 


Nulton, James D. see Mrugaia, Ryszard; et al., 92j:80002 

Okubo, Susumu Nijenhuis tensor and integrable models. 92h:58089 

Opozda, Barbara see Dillen, Franki; et al., 92a:53074 

(Ostianu, N. M.) see Yano, Kentaro, 92k:53109 

Pak, Jin Suk (with Jeong, Jang Chun; Kim, Woon-Taek) The contact conformal curvature 
tensor field and the spectrum of the Laplacian. 92i:58200 

Pérez, Juan de Dios Axioms of submanifolds in quaternion geometry. (Spanish. English 
summary) (see 92b:00044) 

Perrone, Domenico (with Vanhecke, Lieven) Five-dimensional homogeneous contact 
manifolds and related problems. 92¢:53031 

Poon, Yat Sun see Galicki, Krzysztof, 92i:53024 

Popp, Octavian T. see Grigore, D. R., 92a:58045 

Rodrigues, Paulo R. see de Leén, Manuel, 92b:58071 

Sdenz, Jorge Homogeneous symplectic manifolds. (Spanish) 92a:53072 

Salamon, Peter see Mrugaia, Ryszard; et al., 92j:80002 

Sato, Takeshi The flat holomorphic conformal structure on the Horrocks-Mumford 
orbifold. 92h:14030 

Schén, J. Christian see Mrugaia, Ryszard; et al., 92j:80002 

Shen, Zong Qi see Li, Zhong Lin; et al., 92b:53070 

Sikorav, Jean-Claude see Lalonde, Francois, 92:58060 

Singh, K. D. (with Singh, Y. N.) Hypersurfaces of an [F (2, e,), G]-manifold. 92f:53066 

Singh, Y. N. see Singh, K. D., 92£:53066 

Sinha, B. B. (with Yadav, Ram Kirty) Almost contact semi-symmetric metric Finsler 
connections on vector bundle. 92a:53096 

— (with Yadav, R. N.) Some results on semi-invariant submanifolds of a certain class of 
almost contact manifolds. 92d:53052 

Smolentsev, N. K. The space of associated metrics on a regular contact manifold. (Russian) 
92e:58033 

Széke, Rébert see Lempert, Laszl6, 92m:32022 

Tan, Sin Leng see Kon, S. H., 92g:53051 

Turtoi, Adriana Supplementary structures on jet manifolds. (Romanian. French summary) 
92i:58008 

Upadhyay, S. K. (with Narain, Dhruwa) (/, g, u,v,A)-structure submanifold of a Kahler 
manifold of codimension 2. 92e:53088 

Vanhecke, Lieven see Bueken, Peter, 92b:53068 and Perrone, Domenico, 92c:53031 

Verstraelen, Leopold see Dillen, Franki; et al., 92a:53074 and 92b:53087 

Viterbo, Claude Plongements lagrangiens et capacités symplectiques de tores dans R2”. 
(English summary) [The symplectic capacity of Lagrangian tori in R2"] 92c:58041 

Vrancken, Luc see Dillen, Franki; et al., 92a:53074 and 92b:53087 

Watanabe, Shoji see Miron, Radu; et al., 92k:53045 

Weinstein, Alan Affine Poisson structures. 924:58069 

Yadav, R.N. see Sinha, B. B., 92d:53052 

Yadav, Ram Kirty see Sinha, B. B., 92a:53096 

Yano, Kentaro (with Kon, Masahiro) * CR-nogmHoroo6pa3ua B KeylepoBOM H CacaKHeBOM 
Muoroo6pa3xax. (Russian) [CR submanifolds of Kahlerian and Sasakian manifolds} 
92k:53109 


53C20 Global Riemannian geometry, including pinching 
[see also 31C12, 58B20] 


Akbarov, S. A. Some corollaries of a theorem on congruence of angles for manifolds whose 
curvature is bounded below in the “integral” sense. (Russian) 92k:53061 

de Andrés, Luis C. (with Fernandez, Marisa Luisa; Mencia, José J.; Rozas, J. Inaki) Third- 
order vector products on nilmanifolds. (Spanish) (see 92g:00024) 

Aseev, V. V. (with Sultanov, B. Yu.) Moduli of families of curves on a Riemannian 
manifold. (Russian) 92h:53042 

Bai, Zheng Guo Killing tensor fields on Riemannian manifolds. (Chinese. English summary) 
924:53034 

Beltagy, M. On manifolds without focal points. (Arabic summary) 92k:53062 

Berestovskii, V. N. (with Nikolaev, I.G.) Multidimensional generalized Riemannian 
spaces. (Russian) 92g:53029 

Bitis, Gr. Riemannian manifolds which admit a unique harmonic or Killing tensor field. 
92g:53030 

Burns, Keith (with Knieper, Gerhard) Rigidity of surfaces with no conjugate points. 
92j:53015 

— The flat strip theorem fails for surfaces with no conjugate points. 92h:53043 

Buyalo, S. V. Euclidean planes in open three-dimensional manifolds of nonpositive 
curvature. (Russian) 92i:53030 

Chen, Bang-Yen 3-type surfaces in S°. 92a:53052 

Chi, Quo-Shin Besicovitch covering lemma, Hadamard manifolds, and zero entropy. 
92k:53063 

Coghlan, Leslie (with Itokawa, Yoe; Kosecki, Roman) On the mean curvature estimates for 
bounded submanifolds. 92g:53031 

Croke, Christopher B. Rigidity and the distance between boundary points. 92a:53053 

De, U. C. On semi-decomposable pseudo-symmetric Riemannian spaces. 92f:53037 

De Cecco, Giuseppe (with Palmieri, Giuliana) Integral distance on a Lipschitz Riemannian 
manifold. 92h:53044 

Deszcz, Ryszard Examples of four-dimensional Riemannian manifolds satisfying some 
pseudo-symmetry curvature conditions. 92b:53045 

Fernandez, Marisa Luisa see de Andrés, Luis C.; et al., (92g:00024) 

Freire, Alexandre S. On the Martin boundary of Riemannian products. 92e:53045 

Gasqui, Jacques (with Goldschmidt, Hubert) On the geometry of the complex quadric. 
92h:53045 





53C20 


Ghanaat, Patrick Geometric construction of holonomy coverings for almost flat manifolds. 
92k:53064 

Goldschmidt, Hubert see Gasqui, Jacques, 92h:53045 

Gonzilez-Davila, José Carmelo (with Gonzalez-Davila, M. C.) Reflections in Riemannian 
manifolds. (Spanish. English summary) 92k:53065 

Gonzdlez-Davila, M. C. see Gonzdlez-Davila, José Carmelo, 92k:53065 

Grimaldi, Renata Sur l’existence d’une infinité continue de structures asymptotiques sur le 
fibré tangent d’une surface fermée. (English summary) [On the existence of uncountably 
many asymptotic structures on the tangent bundle of a closed surface] 92f:53038 

— Sur l’existence d’une infinité continue de structures asymptotiques sur le fibré tangent 
d’une surface ouverte. (Italian summary) [Existence of a continuous infinity of asymp- 
totic structures on the tangent bundle of an open surface] 92k:53066 

Hangan, Théodor Accessibilité en géométrie riemannienne non-holonome. [Accessibility in 
nonholonomic Riemannian geometry] 92e:53046 

Hernandez, Luis Kahler manifolds and 1/4-pinching. 92b:53046 

Innami, Nobuhiro Application of the differential equation of Riccati type to Riemannian 
geometry. 92e:53047 

Itokawa, Yoe see Coghlan, Leslie; et al., 92g:53031 

Jun, Jae-Bok On special projective Killing p-forms in Riemannian manifolds. 92£:53039 

Kang, Tae-Ho see Pak, Jin Suk, 92b:53048 

Katz, Mikhail Pyramids in the complex projective plane. 92m:53055 

Kleiner, Bruce An isoperimetric comparison theorem. 92m:53056 

Knieper, Gerhard see Burns, Keith, 92j:53015 

Kobayashi, Osamu * Yamabe no mondai ni tsuite. (Japanese) [On the Yamabe problem] 
92m:53057 

Kosecki, Roman see Coghlan, Leslie; et al., 92g:53031 

Lee, Sungyun Volume comparison of Bishop-Gromov type. 92m:53058 

Liu, Zhong-dong Ball covering on manifolds with nonnegative Ricci curvature near infinity. 
92h:53046 

Lor, Jean-Claude (with Rozoy, Luc) Les courbures de Ricci d’une variété riemannienne 
ou pseudo-riemannienne ne déterminent pas toujours sa métrique. (English summary) 
[The Ricci curvatures of a Riemannian or pseudo-Riemannian manifold do not always 
determine its metric] 92f:53040 

Mencia, José J. see de Andrés, Luis C.; et al., (92g:00024) 

Morimoto, Masaharu see Noda, Ryuzaburo; et al., 92d:53035 

Nikitin, A.G. Generalized Killing tensors of arbitrary rank and order. (Russian. Ukrainian 
summary) 92m:53059 

Nikolaev, I. G. see Berestovskii, V. N., 92g:53029 

Noda, Ryuzaburo (with Sakai, Takashi; Morimoto, Masaharu) Generalized Fermat’s 
problem. 924:53035 

Oproiu, V. On the harmonic sections of cotangent bundles. 92b:53047 

Pak, Jin Suk (with Kang, Tae-Ho) Some remarks on the Riemannian metrics on warped 
products. 92b:53048 

Palmieri, Giuliana see De Cecco, Giuseppe, 92h:53044 

Pitis, Gheorghe Rizza’s conjecture concerning the bisectional curvature. 92f:53041 

Piu, M. Paola Sur les flots riemanniens des espaces de D’Atri de dimension 3. (English 
summary) [Riemannian flows on three-dimensional D’Atri spaces] 92a:53054 

Plaut, Conrad Almost Riemannian spaces. 92h:53047 

Podesta, Fabio Isometries of tangent sphere bundles. (Italian summary) 92f:53042 

Postnikov, M.M. Three-dimensional spherical forms. (Russian) 92j:53016 

Pu3i¢é, Nevena A note about a covariant derivative of a harmonic vector field in a Riemann- 
ian manifold. (Serbo-Croatian summary) 92¢:53048 

Reinhart, Bruce L. The cut locus on low-dimensional noncompact manifolds. 92g:53032 

Rosenberg, Jonathan The KO-assembly map and positive scalar curvature. 92m:53060 

Rozas, J. Inaki see de Andrés, Luis C.; et al., (92g:00024) 

Rozoy, Luc see Lor, Jean-Claude, 92f:53040 

Sakai, Takashi see Noda, Ryuzaburo; et al., 92d:53035 

Sastre, Luis Relations between properties of a function on a Riemannian manifold and its 
restriction to a submanifold. (Spanish. English summary) 92b:53049 

Seaman, Walter Orthogonally pinched curvature tensors and applications. 92k:53067 

Shioya, Takashi The ideal boundaries and global geometric properties of complete open 
surfaces. 92a:53055 

— The ideal boundaries of complete open surfaces. 92b:53050 

Sultanov, B. Yu. see Aseev, V. V., 92h:53042 

Suyama, Yoshihiko Differentiable sphere theorem by curvature pinching. 92g:53033 

Troyanov, Marc The Schwarz lemma for nonpositively curved Riemannian surfaces. 
92:53043 

Verhéczki, L. Reflections of Riemannian manifolds. 92b:53051 

Wang, Hong* Some global pinching theorems for minimal submanifolds of a complex 
projective space. (Chinese) 92g:53034 

Wang, Min Sheng The Rauch comparison theorem and model manifolds in differential 
geometry. (Chinese) 92f:53044 

Wu, Jyh-Yang Applications of critical point theory of distance functions to geometry. 
92m:53061 

— Anew proof of the Bott-Samelson theorem. 92b:53052 


Yang, Chung Tao Any Blaschke manifold of the homotopy type of CP” has the right volume. 


92m:53062 

Yau, Shing-Tung (with Zheng, Fang Yang) Negatively 4-pinched Riemannian metric on a 
compact Kéhler manifold. 92a:53056 

Zheng, Fang Yang see Yau, Shing-Tung, 92a:53056 


Items with secondary classifications in 53C20 

Adachi, Toshiaki Spherical mean and the fundamental group. 92f:58182 

Adams, Colin C. Limit volumes of hyperbolic three-orbifolds. 924:57029 

Anderson, Michael T. Remarks on the compactness of isospectral sets in low dimensions. 
92m:58140 

Apanasov, B. N. Nonstandard uniformized conformal structures on hyperbolic manifolds. 
924:57030 

Beltagy, M. Convex bodies and focal points. 92e:53055 

— On the geometry of foot and farthest points. 92m:53090 


DIFFERENTIAL GEOMETRY 1992 890 


Benoist, Yves (with Foulon, Patrick; Labourie, Francois) Flots d’Anosov a distributions de 
Liapounov différentiables. I. [Anosov flows with differentiable Lyapunov distributions. I] 
92¢:58149 

Bérard, Pierre Quelques théorémes d’annulation et de majoration d’ invariants 
géométriques. (English summary) [Some vanishing and upper-bound theorems for geo- 
metric invariants] 92h:58201 

Bleecker, David D. Diffusive inflationary cosmology. 92i:58181 

Blimlinger, Martin Asymptotic distribution and weak convergence on compact Riemannian 
manifolds. 92h:58033 

Borbély, Albert A note on the Dirichlet problem at infinity for manifolds of negative 
curvature. 92f:58180 

Borisenko, A. A. (with Ushakov, V.G.) Isometric immersion of strongly parabolic metrics 
in a class of strongly parabolic surfaces. (Russian) 92h:53073 

Brooks, Robert Wolfe Isospectral problems in conformal geometry. 92e:58215 

Chen, Jie Cheng (with Wang, Si Lei) Comparison between maximal function and square 
function on positively curved manifolds. 92g:58122 

Cheng, Qing Ming Complete hypersurfaces in a 4-dimensional unit sphere with constant 
mean curvature. 92m:53092 

— see also Yang, Hong Cang; et al., 92m:53107 

Cho, Jong Taek see Kim, In Bae; et al., 92g:53039 

Cui, Yu Heng (with Zhang, Xue Shan) On some global properties of Riemannian spaces of 
quasi-constant curvature. 92a:53057 

Davis, Michael Walter (with Januszkiewicz, Tadeusz) Hyperbolization of polyhedra. 
92h:57036 

DeTurck, Dennis M. Audible and inaudible geometric properties. 92i:58197 

Dodson, C. T. J. Curvature and global properties. 92a:53058 

Edgar, S. Brian Sufficient conditions for a curvature tensor to be Riemannian and for 
determining its metric. 92d:53020 

Eschenburg, J.-H. Diameter, volume, and topology for positive Ricci curvature. 92b:53054 

Foulon, Patrick see Benoist, Yves; et al., 92e:58149 

Ghanaat, Patrick (with Min-Oo, Maung; Ruh, Ernst A.) Local structure of Riemannian 
manifolds. 92a:53023 

Grove, Karsten (with Petersen, Peter, V) Manifolds near the boundary of existence. 
92a:53067 

Hamenstadt, Ursula Some regularity theorems for Carnot-Carathéodory metrics. 92g:58022 

Hebda, James J. An example relevant to curvature pinching theorems for Riemannian 
foliations. 92¢:53015 

Hsii, I Jung A global pinching theorem for compact minimal surfaces in S?. 92¢:53040 

Hwang, Kyo Kuen see Kim, In Bae; et al., 92g:53039 

Januszkiewicz, Tadeusz see Davis, Michael Walter, 92h:57036 

Jun, Jae-Bok On special projective Killing 2-form in Sasakian manifolds. 92k:53080 

Kaizer, V. V. Conjugate points of left-invariant metrics on Lie groups. (Russian) 924:53042 

Kamishima, Yoshinobu (with Tsuboi, Takashi) CR-structures on Seifert manifolds. 
92¢:53016 

Kendall, Wilfrid S. Convexity and the hemisphere. 92h:58021 

Kim, In Bae (with Cho, Jong Taek; Hwang, Kyo Kuen) On almost everywhere warped 
product manifolds with harmonic curvatures. 92g:53039 

Labourie, Francois see Benoist, Yves; et al., 92e:58149 

Leung, Pui Fai An estimate on the Ricci curvature of a submanifold and some applications. 
92g:53052 

Mazur, Tomasz A note about unitary and sectional curvature. (see 92d:30002) 

Min-Oo, Maung see Ghanaat, Patrick; et al., 92a:53023 

Ogata, Takashi Curvature pinching theorem for minimal surfaces with constant Kaehler 
angle in complex projective spaces. 92f:53072 

Oh, Ge Hwan (with Pak, Jin Suk) A note on L?-transverse conformal fields on complete 
foliated Riemannian manifolds. 92a:53040 

— (with Pak, Jin Suk) Transverse conformal fields on foliated Riemannian manifolds. 
92a:53041 

Pak, Jin Suk see Oh, Ge Hwan, 92a:53040 and 92a:53041 

Pekonen, Osmo On the variational characterization on conformally flat 3-manifolds. 
92b:58047 

Petersen, Peter, V see Grove, Karsten, 92a:53067 

Reshetnyak, Yu. G. Two-dimensional manifolds of bounded curvature. (Russian) 
92b:53104 

Rotandaro, Giovani Minkowski-Hsiung formulas from the variational viewpoint. 92e:53101 

Ruh, Ernst A. see Ghanaat, Patrick; et al., 92a:53023 

Schroeder, Viktor (with Strake, Martin) Volume growth of open manifolds with nonnega- 
tive curvature. 92e:53052 

Sha, Ji-Ping (with Yang, Da~-Gang) Positive Ricci curvature on the connected sums of 
S" x S™. 92f:53048 

Shen, Yi Bing Curvature pinching for three-dimensional minimal submanifolds in a sphere. 
92i:53058 

Shen, Zhong Min (with Wei, Guofang) On Riemannian manifolds of almost nonnegative 
curvature. 92e:53053 

Spatzier, Ralf J. (with Zimmer, Robert J.) Fundamental groups of negatively curved 
manifolds and actions of semisimple groups. 92m:57047 

Stolz, Stephan Simply connected manifolds of positive scalar curvature. 92a:53061 

Strake, Martin (with Walschap, Gerard) Ricci curvature and volume growth. 92e:53054 

— see also Schroeder, Viktor, 92e:53052 

Takagi, Hitoshi (with Yawata, Makoto) Infinitesimal isometries of frame bundles with 
natural Riemannian metric. 92b:53032 

Trenéevski, Kostadin On some consequences of the generalized Gauss-Bonnet theorem. 
(Macedonian summary) 92k:53107 

Troyanov, Marc Un principe de concentration-compacité pour les suites de surfaces 
riemanniennes. (English summary) [A concentration-compactness principle for sequences 
of Riemann surfaces] 92m:53077 

Tsuboi, Takashi see Kamishima, Yoshinobu, 92c:53016 

Ushakov, V.G. see Borisenko, A. A., 92h:53073 

Vanhecke, Lieven Jacobi vector fields and some aspects of the geometry in normal 
neighbourhoods. 92b:53063 





891 1992 


Vazquez-Abal, Maria Elena Harmonicity on the tangent bundle of order r. (French 
summary) 924:58046 

Walschap, Gerard see Strake, Martin, 92e:53054 

Wang, Si Lei see Chen, Jie Cheng; et al., 92g:58122 

Wei, Guofang see Shen, Zhong Min, 92¢:53053 

Wa, Jyh-Yang On the structure of almost nonnegatively curved manifolds. 92m:53071 

Xia, Chang Yu A pinching theorem for minimal submanifolds in a sphere. 92f:53073 

Xu, Hong Wei A pinching constant of Simons’ type and the problem of isometric immer- 
sion. (Chinese) 92h:53077 

Yang, Da-Gang see Sha, Ji-Ping, 92f:53048 

Yang, Deane Existence and regularity of energy-minimizing Riemannian metrics. 
92:58039 

Yang, Hong Cang (with Cheng, Qing Ming) A note on the pinching constant of minimal 
hypersurfaces with constant scalar curvature in the unit sphere. (Chinese) 

— (with Cheng, Qing Ming) A note on the pinching constant of minimal hypersurfaces with 
constant scalar curvature in the unit sphere. 92m:53107 

Yawata, Makoto see Takagi, Hitoshi, 92b:53032 

Zeghib, A. Laminations et hypersurfaces géodésiques des variétés hyperboliques. [Geodesic 
laminations and hypersurfaces of hyperbolic manifolds] 92b:53098 

Zhang, Xue Shan see Cui, Yu Heng; et al., 92a:53057 

Zimmer, Robert J. see Spatzier, Ralf J., 92m:57047 


53C21 Methods of Riemannian geometry, including PDE 
methods; curvature restrictions [see also 58G30] 


Al-Gwaiz, M. A. see Deshmukh, Sharief, 92g:53036 

Aubin, Thierry (with Hebey, Emmanuel) Courbure scalaire prescrite. (English summary) 
[Prescribed scalar curvature] 92c:53017 

Belger, Martin see Schimming, Rainer, 92h:53051 

Beltagy, M. Foot points and convexity in manifolds without conjugate points. 

— Convexity in manifolds without conjugate points. 

Cai, Mingliang Ends of Riemannian manifolds with nonnegative Ricci curvature outside a 
compact set. 92f:53045 

Cao, Jian Guo (with DeTurck, Dennis M.) Prescribing Ricci curvature on open surfaces. 
92k:53068 

Chang, Sun-Yung A. (with Yang, Paul C.) A perturbation result in prescribing scalar 
curvature on S”. 92m:53063 

Chéng, Kuo Shun (with Smoller, Joel A.) Conformal metrics on S? with prescribed scalar 
curvature. 92i:53031 

Chow, Bennett (with Wu, Lang-Fang) The Ricci flow on compact 2-orbifolds with curvature 
negative somewhere. 92g:53035 

— The Ricci flow on the 2-sphere. 92d:53036 

Cui, Yu Heng (with Zhang, Xue Shan) On some global properties of Riemannian spaces of 
quasi-constant curvature. 92a:53057 

De Bartolomeis, Paolo (with Migliorini, Luca) Scalar curvature and twistor geometry. 
92m:53065 

Delanoé, Philippe Obstruction to prescribed positive Ricci curvature. 92f:53046 

Deshmukh, Sharief (with Al-Gwaiz, M. A.) Compact manifolds of constant scalar 
curvature. 92g:53036 

Deszcz, Ryszard On conformally flat Riemannian manifolds satisfying certain curvature 
conditions. 92h:53048 

— On four-dimensional Riemannian warped product manifolds satisfying certain pseudo- 
symmetry curvature conditions. 92i:53032 

DeTurck, Dennis M. Local solvability for systems with “extra symbol equivariance”. 
92b:53053 

— see also Cao, Jian Guo, 92k:53068 

Dodson, C. T. J. Curvature and global properties. 92a:53058 

Eells, James Geometric applications of evolution. (see 92m:35004) 

Eichhorn, Jirgen The boundedness of connection coefficients and their derivatives. 
92k:53069 

Elworthy, K. D. (with Rosenberg, Steven) Manifolds with wells of negative curvature. 
92a:53059 

Eschenburg, J.-H. Diameter, volume, and topology for positive Ricci curvature. 92b:53054 

Floer, Andreas Self-dual conformal structures on /CP?. 92e:53049 

Gallot, Sylvestre Finiteness theorems with integral conditions on curvature. 92b:53055 

Gomikawa, T. see Kobayashi, Osamu, 92c:53020 

Grimaldi, Renata (with Pansu, Pierre) Sur le type de croissance des métriques de 
révolution. (English summary) [On the growth type of rotationally symmetric metrics] 
92:53047 

Han, Chong-Kyu The theorema egregium of Gauss from a viewpoint of partial differential 
equations. 92k:53070 

Hasanis, Thomas On the Ricci metric of a hypersurface. 92i:53033 

Hebey, Emmanuel (with Vaugon, Michel) Remarque sur le probleme de Yamabe. (English 
summary) [A remark about the Yamabe problem] 92c:53018 

— (with Vaugon, Michel) Le probleme de Yamabe équivariant. (English summary) [The 
equivariant Yamabe problem] 92b:53056 

— (with Vaugon, Michel) Multiplicité pour le probleme de Yamabe. (English summary) 
[Multiplicity for the Yamabe problem] 92c:53019 

— (with Vaugon, Michel) Remarque sur le probleme de Yamabe. (English summary) 
[Remark on the Yamabe problem] 92¢:53050 

— see also Aubin, Thierry, 92c:53017 

Hineva, Stefana T. Inequalities for sectional curvature and the Ricci curvature of submani- 
folds. (Bulgarian) (see 92a:00041) 

Huisken, Gerhard Singularity formation in geometric evolution equations. 92m:53066 

Ki, U-Hang (with Kim, Young Ho) Complete and noncompact conformally flat manifolds 
with constant scalar curvature. 92m:53067 

Kim, Young Ho see Ki, U-Hang, 92m:53067 

Kobayashi, Osamu (with Gomikawa, T.) Complete metrics of negative Ricci curvature. 
92c:53020 


53C Global differential geometry 


53C21 


Kowalski, Oldtich Counterexample to the “second Singer’s theorem”. 92b:53057 

Lee, Chong Hee The relation between the exterior radius and the mean curvature of 
bounded immersion. 92b:53058 

Li, Peter (with Tam, Luen-Fai) Complete surfaces with finite total curvature. 92e:53051 

Li, Yan Yan On prescribing scalar curvature problem on S? and S*. (French summary) 
92m:53064 

Lohoué, Noél Remarques sur un théoréme de Strichartz. (English summary) [Remarks on a 
theorem of Strichartz] 92b:53059 

Ma, Xiaoyun (with McOwen, Robert C.) Complete conformal metrics with zero scalar 
curvature. 92h:53049 

Mazzeo, Rafe Regularity for the singular Yamabe problem. 92k:53071 

— (with Smale, Nathan) Conformally flat metrics of constant positive scalar curvature on 
subdomains of the sphere. 92i:53034 

McOwen, Robert C. see Ma, Xiaoyun, 92h:53049 

Migliorini, Luca see De Bartolomeis, Paolo, 92m:53065 

Nicolodi, L. (with Vanhecke, Lieven) Rotations on a Riemannian manifold. 92m:53068 

Noronha, Maria Helena A note on the first Betti number of submanifolds with nonnegative 
Ricci curvature in codimension two. 92h:53050 

Ou, Ye Lin Two notes on the tangent sphere bundle of a surface. (Chinese. English 
summary) 92k:53072 

Pansu, Pierre see Grimaldi, Renata, 92f:53047 

Rosenberg, Steven see Elworthy, K. D., 92a:53059 

(Ruberman, Daniel) see Elworthy, K. D., 92a:53059 

Schimming, Rainer (with Belger, Martin) Polyharmonic radial functions on a Riemannian 
manifold. 92h:53051 

Schoen, Richard M. A report on some recent progress on nonlinear problems in geometry. 
92m:53069 

Schroeder, Viktor (with Strake, Martin) Volume growth of open manifolds with nonnega- 
tive curvature. 92e:53052 

— Analytic manifolds of nonpositive curvature with higher rank subspaces. 92a:53060 

Sha, Ji-Ping (with Yang, Da-Gang) Positive Ricci curvature on the connected sums of 
S" x S™. 924:53048 

Shen, Zhong Min (with Wei, Guofang) On Riemannian manifolds of almost nonnegative 
curvature. 92e:53053 

Smale, Nathan see Mazzeo, Rafe, 92i:53034 

Smith, P. D. (with Yang, Deane) Removing point singularities of Riemannian manifolds. 
92k:53073 

Smoller, Joel A. see Chéng, Kuo Shun, 92i:53031 

Stolz, Stephan Simply connected manifolds of positive scalar curvature. 92a:53061 

Strake, Martin (with Walschap, Gerard) Ricci curvature and volume growth. 92e:53054 

— see also Schroeder, Viktor, 92e:53052 

Tam, Luen-Fai see Li, Peter, 92e:53051 

Trubek, Jeanne Conformal metrics and scalar curvature on cylinders. 92a:53062 

Vanhecke, Lieven (with Vazquez-Abal, Maria Elena) Harmonic reflections. (Italian 
summary) 92m:53070 

— Geometry in normal and tubular neighborhoods. 92g:53037 

— see also Nicolodi, L., 92m:53068 

Vaugon, Michel see Hebey, Emmanuel, 92b:53056; 92c:53018; 92c:53019 and 92e:53050 

Vazquez-Abal, Maria Elena see Vanhecke, Lieven, 92m:53070 

Walschap, Gerard The soul at infinity in dimension 4. 92c:53021 

— see also Strake, Martin, 92e:53054 

Wei, Guofang see Shen, Zhong Min, 92e:53053 

Wa, Jyh-Yang Complete manifolds with a little negative curvature. 92i:53035 

— On the structure of almost nonnegatively curved manifolds. 92m:53071 

Wu, Lang-Fang The Ricci flow on 2-orbifolds with positive curvature. 92d:53037 

— see also Chow, Bennett, 92g:53035 

Xu, Xing Wang Prescribing a Ricci tensor in a conformal class of Riemannian metrics. 
92i:53036 

Yamato, Kazuo A characterization of locally homogeneous Riemann manifolds of 
dimension 3. 92g:53038 

Yang, Da-Gang see Sha, Ji-Ping, 92f:53048 

Yang, Deane see Smith, P. D., 92k:53073 

Yang, Paul C. see Chang, Sun-Yung A., 92m:53063 

Zhang, Xue Shan see Cui, Yu Heng; et al., 92a:53057 


Items with secondary classifications in 53C21 

Alexander, Stephanie B. (with Currier, Robert J.) Non-negatively curved ends of Euclidean 
hypersurfaces. 92h:53071 

de Almeida, S.C. (with Brito, F.G. B.) Closed hypersurfaces of S* with constant mean 
curvature and constant scalar curvature. 92k:53095 

Anderson, Michael T. Convergence and rigidity of manifolds under Ricci curvature bounds. 
92c:53024 

Bahri, Abbas (with Coron, Jean-Michel) The scalar-curvature problem on the standard 
three-dimensional sphere. 92k:58055 

Bangert, V. (with Schroeder, Viktor) Existence of flat tori in analytic manifolds of 
nonpositive curvature. 92k:53110 

Barbosa, J. L. M. (with Kenmotsu, K.; Oshikiri, Gen-ichi) Foliations by hypersurfaces with 
constant mean curvature. 92b:53034 

Bérard, Pierre A note on Bochner type theorems for complete manifolds. 92i:58195 

Bonahon, Francis Geodesic currents on negatively curved groups. 92g:57002 

Brito, F.G. B. see de Almeida, S. C., 92k:53095 

Cheng, Qing Ming Complete hypersurfaces in a 4-dimensional unit sphere with constant 
mean curvature. 92m:53092 

Chouikha, Raouf Métriques conformement plates et équations de Yang-Mills. (English 
summary) [Conformally flat metrics and Yang-Mills equations] 92e:58227 

Chow, Bennett On the entropy estimate for the Ricci flow on compact 2-orbifolds. 
92e:58228 

Coron, Jean-Michel see Bahri, Abbas, 92k:58055 

Cotsiolis, Athanase (with Iliopoulos, Dimitris) Equations elliptiques non linéaires sur S”. 
Le probléme de Nirenberg. (English summary) [Nonlinear elliptic equations on S”. The 








53C21 


Nirenberg problem] 92i:58204 

Currier, Robert J. see Alexander, Stephanie B., 92h:53071 

DeTurck, Dennis M. (with Goldschmidt, Hubert; Talvacchia, Janet) Local existence of 
connections with prescribed curvature. (see 92m:00041) 

Dimou, G. E. see Tsagas, Grigorios, 92:58190 

Djori¢, M. (with Vanhecke, Lieven) A theorem of Archimedes about spheres and cylinders 
and two-point homogeneous spaces. 92g:53045 

Druetta, Maria J. Nonpositively curved homogeneous spaces of dimension five. 92d:53040 

Epstein, Charles (with Jorgensen, Troels; McMullen, Curt) Multiple intersections on 
negatively curved surfaces. 92¢:53023 

Escobar, José F. Uniqueness theorems on conformal deformation of metrics, Sobolev 
inequalities, and an eigenvalue estimate. 92f:58038 

Farrell, F.T. (with Jones, Lowell Edwin) Computations of stable pseudoisotopy spaces for 
aspherical manifolds. 92k:57038 

Freire, Alexandre S. On the Martin boundary of Riemannian products. 92e:53045 

Galloway, Gregory J. (with Rodriguez, Lucio L.) Intersections of minimal submanifolds. 
92:53070 

Goldschmidt, Hubert see DeTurck, Dennis M.; et al., (92m:00041) 

Goyal, Vinod B. Remark on a paper of Cheng and Smoller. 92b:58243 

Grunewald, Ralf Six-dimensional Riemannian manifolds with a real Killing spinor. 
92a:58146 

Hamza, Hichem Sur les transformations conformes des variétés riemanniennes a bord. 
(English summary) [On conformal transformations of Riemannian manifolds with 
boundary] 92f:58195 

Hebey, Emmanuel (with Vaugon, Michel) Meilleures constantes dans le théoréme 
d’inclusion de Sobolev et muiltiplicité pour le probleme de Nirenberg. (English summary) 
[Best constants in the Sobolev embedding theorem and multiplicity for the Nirenberg 
problem] 924:58215 

Hiibsch, Tristan Of marginal kinetic terms and anomalies. 92g:81195 

Iliopoulos, Dimitris see Cotsiolis, Athanase, 92i:58204 

Itoh, Mitsuhiro Yamabe metrics and the space of conformal structures. 92j:58023 

Jones, Lowell Edwin see Farrell, F. T., 92k:57038 

Jorgensen, Troels see Epstein, Charles; et al., 92c:53023 

Jung, Yoon-Tae On the conformal deformation of Riemannian structures. 92b:58244 

Kato, Shin Symmetric solutions of the equation for the scalar curvature under conformal 
deformation of a Riemannian metric. 92k:58273 

Kenmotsu, K. see Barbosa, J. L. M.; et al., 92b:53034 

Kobayashi, Osamu * Yamabe no mondai ni tsuite. (Japanese) [On the Yamabe problem] 
92m:53057 

Kreck, Matthias (with Stolz, Stephan) Some nondiffeomorphic homeomorphic homoge- 
neous 7-manifolds with positive sectional curvature. 92d:53043 

Li, Jia Yu? Gradient estimate for the heat kernel of a complete Riemannian manifold and 
its applications. 92f:58174 

Liu, Zhong-dong Ball covering on manifolds with nonnegative Ricci curvature near infinity. 
92h:53046 

Lor, Jean-Claude (with Rozoy, Luc) Les courbures de Ricci d’une variété riemannienne 
ou pseudo-riemannienne ne déterminent pas toujours sa métrique. (English summary) 
[The Ricci curvatures of a Riemannian or pseudo-Riemannian manifold do not always 
determine its metric] 92f:53040 

Luo, Zhi Guo A note on Kahler submanifolds in locally symmetric Bochner-Kahler 
manifolds. (Chinese. English summary) 92i:53050 

McDuff, Dusa * Applications of PDE methods by Gromov, Floer, and others to symplectic 
geometry. 92k:58085 

McMullen, Curt see Epstein, Charles; et al., 92c:53023 

Molzon, Robert Symmetry and overdetermined boundary value problems. 92f:58181 

Nadirashvili, N.S. Metric properties of eigenfunctions of the Laplace operator on 
manifolds. (French summary) 92g:58130 

Nicolodi, L. (with Tricerri, Franco) On two theorems of I. M. Singer about homogeneous 
spaces. 92b:53075 

Okayasu, Takashi Isolation phenomena for harmonic maps. 92m:58028 

Okubo, Susumu A BRST-like operator for space with zero curvature but nonzero torsion 
tensor. 92j:81335 

Oshikiri, Gen-ichi see Barbosa, J. L. M.; et al., 92b:53034 

Pitis, Gheorghe Rizza’s conjecture concerning the bisectional curvature. 92f:53041 

Poon, Yat Sun (with Salamon, S.M.) Quaternionic Kahler 8-manifolds with positive scalar 
curvature. 92b:53071 

Rodriguez, Lucio L. see Galloway, Gregory J., 92f:53070 

Rosenberg, Steven Applications of semigroup domination. 92e:58229 

Rovenskii, V. Yu. Twisted Hopf bundles. (Russian) 92j:55025 

Rozoy, Luc see Lor, Jean-Claude, 92f:53040 

Sadowski, Michal Closed parallel 1-forms on infranilmanifolds and Calabi reductions. 
92b:53077 

Salamon, S.M. see Poon, Yat Sun, 92b:53071 

Schroeder, Viktor see Bangert, V., 92k:53110 

Spatzier, Ralf J. (with Zimmer, Robert J.) Fundamental groups of negatively curved 
manifolds and actions of semisimple groups. 92m:57047 

Stark, Christopher W. Group completions and orbifolds of variable negative curvature. 
92c:57038 

Stolz, Stephan see Kreck, Matthias, 924:53043 


Talmadge, Andy (with Yang, Kichoon) Holomorphic curves in the orthogonal twistor space. 


92k:53092 
Talvacchia, Janet see DeTurck, Dennis M.; et al., (92m:00041) 


Tian, Gang (with Yau, Shing-Tung) Complete Kahler manifolds with zero Ricci curvature. 
II. 92j:32028 

Tricerri, Franco see Nicolodi, L., 92b:53075 

Tsagas, Grigorios (with Dimou, G. E.) The influence of the spectrum of the Dirac operator 
on the geometry of a Riemannian manifold. 92f:58190 


Urbas, John I.E. Boundary regularity for solutions of the equation of prescribed Gauss 
curvature. 92h:35083 


Vanhecke, Lieven see Djori¢é, M., 92g:53045 


DIFFERENTIAL GEOMETRY 


Vaugon, Michel see Hebey, Emmanuel, 92d:58215 

Verhéczki, L. Reflections of Riemannian manifolds. 92b:53051 

Wei, S. Walter Liouville theorems and regularity of minimizing harmonic maps into super- 
strongly unstable manifolds. 92m:58030 

Wolter, Thomas H. Homogeneous manifolds with nonpositive curvature operator. 
92b:53079 

— Geometry of homogeneous Hadamard manifolds. 92b:53080 

Xia, Chang Yu Minimal submanifolds with bounded second fundamental form. 92k:53120 

Yang, Kichoon see Talmadge, Andy, 92k:53092 

Yau, Shing-Tung see Tian, Gang, 92j:32028 

Zimmer, Robert J. see Spatzier, Ralf J., 92m:57047 


53C22 Geodesics [see also 58E10] 


Atia, N. see El-Ghoul, M.; et al. 

Beltagy, M. Convex bodies and focal points. 92e:53055 

Bucki, Andrzej Geodesics of conjugate connections in the principal fibre bundle of linear 
frames. 92¢:53022 

Canino, Annamaria Local properties of geodesics on p-convex sets. 92k:53074 

Di Terlizzi, L. (with Verroca, F.) Affine connections for 2-osculating vector fields and 
geodesics. 92e:53056 

El-Ahmady, A. E. see El-Ghoul, M.; et al. 

El-Ghoul, M. (with El-Ahmady, A. E.; Atia, N.) The deformation retract and topological 
folding of the space of maximum mobility. 

Epstein, Charles (with Jorgensen, Troels; McMullen, Curt) Multiple intersections on 
negatively curved surfaces. 92¢:53023 

Gancarzewicz, Jacek (with Mahi, Salima) Géodésiques dans la fibré tangent d’ordre 
supérieur. [Geodesics in a higher-order tangent bundle] 92j:53017 

Ghys, Etienne (with de la Harpe, Pierre) Quasi-isométries et quasi-géodésiques. [Quasi- 
isometries and quasigeodesics] (see 92f:53050) 

— (with de la Harpe, Pierre) Le bord d’un arbre. [The boundary of a tree] (see 92f:53050) 

Gruber, Peter Manfred A typical convex surface contains no closed geodesic! 92e:53057 

de la Harpe, Pierre see Ghys, Etienne, (92f:53050) and (92£:53050) 

Heck, T. (with Sorg, M.) Geodesic motion in trivializable gauge fields. 92k:53075 

Jorgensen, Troels see Epstein, Charles; et al., 92c:53023 

Kaleva, S. I. * On the first integrals of geodesics. 92m:53072 

Kim, Seon-Bu The focal Lorentzian comparison theorems for timelike geodesics. 92b:53060 

Kowalski, Oldtich Riemannian manifolds with homogeneous geodesics. 92e:53058 

Kurogi, Tetsunori Note on isometry invariant geodesic on two-dimensional spherical 
manifold. 92b:53061 

Le, Hui Ling On geodesics in Euclidean shape spaces. 92m:53073 

Maeda, Masao Geodesic sphere and poles. II. 92a:53063 

Mahi, Salima see Gancarzewicz, Jacek, 92j:53017 

McMullen, Curt see Epstein, Charles; et al., 92¢:53023 

Muti, Yosio Geodesics in minimal immersions of 5? into S”4. 92b:53062 

Otsuki, Tominosuke A Cauchy type theorem on ordinary differential equations and its 
applications. 92m:53074 

Ozekes, Hasan On the geodesic symmetries. (Turkish summary) 

Pogorelov, A. V. On a theorem of Beltrami. (Russian) 92a:53064 

Sorg, M. see Heck, T., 92k:53075 

Tanaka, Minoru? An elementary proof of the existence of uncountably many nonclosed 
isometry-invariant geodesics. 92m:53075 

Vanhecke, Lieven Jacobi vector fields and some aspects of the geometry in normal 
neighbourhoods. 92b:53063 

Verroca, F. see Di Terlizzi, L., 92e:53056 


Items with secondary classifications in 53C22 


Akbarov, S. A. Some corollaries of a theorem on congruence of angles for manifolds whose 
curvature is bounded below in the “integral” sense. (Russian) 92k:53061 

Alexander, Stephanie B. (with Bishop, Richard L.) The Hadamard-Cartan theorem in 
locally convex metric spaces. 92¢:53044 

Ballmann, Werner Singular spaces of nonpositive curvature. (see 92f:53050) 

Beem, John K. (with Parker, Phillip E.) The space of geodesics. 92d:58025 

Beltagy, M. On manifolds without focal points. (Arabic summary) 92k:53062 

— Foot points and convexity in manifolds without conjugate points. 

— Immersions into manifolds without conjugate points. 92f:53057 

— Isometric immersion into manifolds without focal points. 92m:53101 

— Convexity in manifolds without conjugate points. 

Benci, Vieri (with Giannoni, Fabio) Closed geodesics on noncompact Riemannian 
manifolds. (French summary) 92d:58036 

Benenti, Sergio Stackel systems and Killing tensors. 92m:58146 

Bishop, Richard L. see Alexander, Stephanie B., 92c:53044 

Burns, Keith The flat strip theorem fails for surfaces with no conjugate points. 92h:53043 

Calvo, Miquel (with Oller, José M.) An explicit solution of information geodesic equations 
for the multivariate normal model. 92g:62081 

Carlton, Eloise H. (with Shepard, Roger N.) Psychologically simple motions as geodesic 
paths. I. Asymmetric objects. 92¢e:92030 

— (with Shepard, Roger N.) Psychologically simple motions as geodesic paths. II. Symmet- 
ric objects. 92e:92031 

Chi, Quo-Shin Besicovitch covering lemma, Hadamard manifolds, and zero entropy. 
92k:53063 

Croke, Christopher B. (with Fathi, A.) An inequality between energy and intersection. 
92d:58042 

De Cecco, Giuseppe (with Palmieri, Giuliana) Length of curves on Lip manifolds. (Italian 
summary) 92h:58043 

Deshmukh, Sharief Almost complex surfaces in the nearly Kaehler S°. 92k:53056 

Dineen, Sean (with Timoney, Richard M.) Complex geodesics on convex domains. 
92m:46066 

Donnelly, Harold (with Lee, Jeffrey M.) Domains in Riemannian manifolds and inverse 
spectral geometry. 92j:58109 





893 1992 


Ehrlich, Paul E. (with Emch, Gérard G.) The conjugacy index and simple astigmatic 
focusing. 92m:53108 

Emch, Gérard G. see Ehrlich, Paul E., 92m:53108 

Esrafilian, Ebrahim Normal structures on manifolds, and the system of partial differential 
equations of geodesics. 92b:58006 

Fathi, A. see Croke, Christopher B., 92d:58042 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Loop space homology of spaces 
of LS category one and two. 92b:55006 

Ghys, Etienne (with de la Harpe, Pierre) Le bord d’un espace hyperbolique. [The boundary 
of a hyperbolic space] (see 92f:53050) 

Giannoni, Fabio (with Masiello, Antonio) On the existence of geodesics on stationary 
Lorentz manifolds with convex boundary. 92k:58053 

— Geodesics on nonstatic Lorentz manifolds of Reissner-Nordstrém type. 92k:58054 

— see also Benci, Vieri, 92d:58036 

Halperin, Stephen see Félix, Yves; et al., 92b:55006 

Hamenstadt, Ursula A geometric characterization of negatively curved locally symmetric 
spaces. 92i:53046 

de la Harpe, Pierre see Ghys, Etienne, (92f:53050) 

Hasanis, Thomas (with Koutroufiotis, Dimitri) Hypersurfaces with a constant support 
function. 92g:53050 

Jost, Jiirgen Correction to: “A nonparametric proof of the theorem of Lusternik and 
Schnirelman” [Arch. Math. (Basel) 53 (1989), no. 5, 497-509; MR 90k:53083}. 
92b:58041 

Kaizer, V. V. Conjugate points of left-invariant metrics on Lie groups. (Russian) 92d:53042 

Koutroufiotis, Dimitri see Hasanis, Thomas, 92g:53050 

Kovacs, Z. Some properties of associated pseudoconnections. 92k:53043 

Kowalski, Oldtich (with Vanhecke, Lieven) Riemannian manifolds with homogeneous 
geodesics. (Italian summary) 92m:53084 

Lee, Jeffrey M. see Donnelly, Harold, 92j:58109 

Leiko, S.G. Variational problems for rotation functionals, and spin-mappings of pseudo- 
Riemannian spaces. (Russian) 92d:58037 

Li, Peter (with Tam, Luen-Fai) Complete surfaces with finite total curvature. 92e:53051 

Masiello, Antonio see Giannoni, Fabio, 92k:58053 

McCleary, John (with Ziller, Wolfgang) Corrections to: “On the free loop space of 
homogeneous spaces” [Amer. J. Math. 109 (1987), no. 4, 765-781; MR 88k:58023}. 
92e:58046 

Montesinos, Angel J. Sur les variétés riemanniennes 4 flot géodésique topologiquement 
transitif. [Riemannian manifolds with totally transitive geodesic flows] 92i:58142 

Morimoto, Masaharu see Noda, Ryuzaburo; et al., 92d:53035 

Noda, Ryuzaburo (with Sakai, Takashi; Morimoto, Masaharu) Generalized Fermat’s 
problem. 924:53035 

Ohtsuka, Fumiko On manifolds having some restricted ideal boundaries. 92e:53059 

Oller, José M. see Calvo, Miquel, 92g:62081 

Palmieri, Giuliana see De Cecco, Giuseppe, 92h:58043 

Parker, Phillip E. see Beem, John K., 92d:58025 

Pisani, L. Existence of geodesics for stationary Lorentz manifolds. (Italian summary) 
92k:53124 

Podesta, Fabio Projective submersions. 92a:53032 

Rademacher, Hans-Bert On the number of closed geodesics on the 2-torus. 92b:58042 

Reinhart, Bruce L. The cut locus on low-dimensional noncompact manifolds. 92g:53032 

Rodionov, E. D. Homogeneous Riemannian almost P-manifolds. (Russian) 92b:53076 

Ruggiero, Rafael Oswaldo On the creation of conjugate points. 92i:58143 

Sakai, Takashi see Noda, Ryuzaburo; et al., 92d:53035 

Shepard, Roger N. see Carlton, Eloise H., 92e:92030 and 92e:92031 

Shioya, Takashi The ideal boundaries and global geometric properties of complete open 
surfaces. 92a:53055 

— The ideal boundaries of complete open surfaces. 92b:53050 

Smith, P. D. (with Yang, Deane) Removing point singularities of Riemannian manifolds. 
92k:53073 

Tam, Luen-Fai see Li, Peter, 92e:53051 

Thomas, Jean-Claude see Félix, Yves; et al., 92b:55006 

Timoney, Richard M. see Dineen, Sean, 92m:46066 

Ukai, Tetsuo The visibility axiom on a manifold whose geodesic flow is of Anosov type. 
924:58163 

Vanhecke, Lieven (with Vazquez-Abal, Maria Elena) Harmonic reflections. (Italian 
summary) 92m:53070 

— Geometry and symmetry. 92¢:53069 

— see also Kowalski, Oldiich, 92m:53084 

Vazquez-Abal, Maria Elena see Vanhecke, Lieven, 92m:53070 

Wu, Jyh-Yang A new proof of the Bott-Samelson theorem. 92b:53052 

Yang, Chung Tao Any Blaschke manifold of the homotopy type of CP” has the right volume. 
92m:53062 

Yang, Deane see Smith, P. D., 92k:53073 

Yurtsever, Ulvi A simple proof of geodesical completeness for compact space-times of zero 
curvature. 92k:53125 

Zeghib, A. Laminations et hypersurfaces géodésiques des variétés hyperboliques. [Geodesic 
laminations and hypersurfaces of hyperbolic manifolds] 92b:53098 

Ziller, Wolfgang see McCleary, John, 92e:58046 


53C23 Global topological methods (a la Gromov) 


Anderson, Michael T. Convergence and rigidity of manifolds under Ricci curvature bounds. 
92¢:53024 

— (with Cheeger, Jeff) Diffeomorphism finiteness for manifolds with Ricci curvature and 
L”/2.norm of curvature bounded. 92h:53052 

Ballmann, Werner Singular spaces of nonpositive curvature. (see 92f:53050) 

Bando, Shigetoshi Bubbling out of Einstein manifolds. 92a:53065a 

— Correction and addition: “Bubbling out of Einstein manifolds”. 92a:53065b 

Cheeger, Jeff (with Gromov, Mikhael L.) Collapsing Riemannian manifolds while keeping 
their curvature bounded. II. 92a:53066 


53C Global differential geometry 


53C23 


— see also Anderson, Michael T., 92h:53052 

Colbois, B. (with Courtois, Gilles) Convergence de variétés et convergence du spectre du 
Laplacien. [Convergence of manifolds and convergence of the spectrum of the Laplacian] 
92h:53053 

Coornaert, Michel Sur le domaine de discontinuité pour les groupes d’isométries d’un 
espace métrique hyperbolique. [On the fundamental domain for the isometry groups of 
a hyperbolic metric space] 92i:53037 

Courtois, Gilles see Colbois, B., 92h:53053 

Eschenburg, J.-H. (with Schroeder, Viktor) Tits distance of Hadamard manifolds and 
isoparametric hypersurfaces. 92i:53038 

Fukaya, Kenji Hausdorff convergence of Riemannian manifolds and its applications. 
92k:53076 

Gao, L. Zhiyong Convergence of Riemannian manifolds; Ricci and L"/?-curvature pinching. 
92f:53049 

Ghys, Etienne (with de la Harpe, Pierre) Panorama. (French) (see 92£:53050) 

— (with de la Harpe, Pierre) Espaces métriques hyperboliques. [Hyperbolic metric spaces] 
(see 92£:53050) 

— (with de la Harpe, Pierre) Le bord d’un espace hyperbolique. [The boundary of a 
hyperbolic space] (see 92f:53050) 

— (with de la Harpe, Pierre) L’action au bord des isométries. [The action at the boundary of 
isometries] (see 92f:53050) 

— (with Haefliger, André) Groupes de torsion. [Torsion groups] (see 92f:53050) 

— see also Hyperbolic groups in the theory of Mikhael Gromov, 92f:53050 

Gramain, André Cohomologie bornée et géométrie. [Bounded cohomology and geometry] 
92m:53076 

Gromov, Mikhael L. Foliated Plateau problem. I. Minimal varieties. 92b:53064 

— see also Cheeger, Jeff, 92a:53066 

Grove, Karsten (with Petersen, Peter, V; Wu, Jyh-Yang) Erratum: “Geometric finiteness 
theorems via controlled topology” [Invent. Math. 99 (1990), no. 1, 205-213; MR 
90k:53075]. 92b:53065 

— (with Petersen, Peter, V) Manifolds near the b 

Haefliger, André see Ghys, Etienne, (92f:53050) 

de la Harpe, Pierre see Ghys, Etienne, (92f:53050); (92f:53050); (92f:53050); (92£:53050) and 
Hyperbolic groups in the theory of Mikhael Gromov, 92f:53050 

Katz, Mikhail La contractilité géométrique, la courbure de Ricci, et les variétés hyper- 
sphériques. (English summary) [Geometric contractibility, Ricci curvature, and hyper- 
spherical manifolds] 92h:53054 

— On neighborhoods of the Kuratowski imbedding beyond the first extremum of the 
diameter functional. 92i:53039 

Kodani, Shigeru Convergence theorem for Riemannian 
92b:53066 

Labourie, Francois Probléme de Minkowski dans les variétés hyperboliques et courbes 
pseudo-holomorphes. [The Minkowski problem in hyperbolic manifolds and pseudoholo- 
morphic curves] 92¢:53025 

— Probl de Minkowski et surfaces 4 courbure constante dans les variétés hyperboliques. 
(English summary) [Minkowski problem and surfaces of constant curvature in hyperbolic 
manifolds] 92k:53077 

Ohtsuka, Fumiko On manifolds having some restricted ideal boundaries. 92e:53059 

Petersen, Peter, V see Grove, Karsten, 92a:53067 and 92b:53065 

Schroeder, Viktor see Eschenburg, J.-H., 92i:53038 

Troyanov, Mare Espaces a courbure négative et groupes hyperboliques. [Negatively curved 
spaces and hyperbolic groups] (see 92f:53050) 

— Un principe de concentration-compacité pour les suites de surfaces riemanniennes. 
(English summary) [A concentration-compactness principle for sequences of Riemann 
surfaces] 92m:53077 

Wu, Jyh-Yang see Grove, Karsten; et al., 92b:53065 

Yamaguchi, Takao Collapsing and pinching under a lower curvature bound. 92b:53067 





dary of existence. 92a:53067 


folds with b A. y. 








Items listed otherwise than by author 

Bern * Sur les groupes hyperboliques d’aprés Mikhael Gromov. (French) [Hyperbolic 
groups in the theory of Mikhael Gromov] 92f:53050 

Hyperbolic groups in the theory of Mikhael Gromov * Sur les groupes hyperboliques d’aprés 
Mikhael Gromov. (French) [Hyperbolic groups in the theory of Mikhael Gromov] 
92:53050 

Progress in Mathematics * Sur les groupes hyperboliques d’aprés Mikhael Gromov. 
(French) [Hyperbolic groups in the theory of Mikhael Gromov] 92£:53050 

Seminar: 
Hyperbolic Groups * Sur les groupes hyperboliques d’aprés Mikhael Gromov. (French) 

[Hyperbolic groups in the theory of Mikhael Gromov] 92f:53050 

Sur les groupes hyperboliques d’apres Mikhael Gromov * Sur les groupes hyperboliques 
d’aprés Mikhael Gromov. (French) [Hyperbolic groups in the theory of Mikhael Gromov] 
92£:53050 


Items with secondary classifications in 53C23 

Anderson, Michael T. The L? structure of moduli spaces of Einstein metrics on 4- 
manifolds. 92m:58017 

Bennequin, Daniel Topologie symplectique, convexité holomorphe et structures de contact 
(d’aprés Y. Eliashberg, D. McDuff et al.). [Symplectic topology, holomorphic convexity 
and contact structures (after Y. Eliashberg, D. McDuff et al.)] 92j:32065 

Berestovskii, V. N. (with Nikolaev, I. G.) Multidimensional generalized Riemannian 
spaces. (Russian) 92g:53029 

Besson, Gérard (with Courtois, Gilles; Gallot, Sylvestre) Volume et entropie minimale 
des espaces localement symétriques. [Volume and minimal entropy of locally symmetric 
spaces] 92d:58027 

Chiswell, I. M. Nonstandard analysis and the Morgan-Shalen compactification. 92h:57002 

Coornaert, Michel * Sur les groupes prop it discontinus d’isométries des espaces 
hyperboliques au sens de Gromov. (French) [Properly discontinuous isometry groups of 
Gromov hyperbolic spaces] 92i:57032 

Courtois, Gilles see Besson, Gérard; et al., 92d:58027 








53C23 


Farrell, F.T. (with Jones, Lowell Edwin) Computations of stable pseudoisotopy spaces for 
aspherical manifolds. 92k:57038 

Gallot, Sylvestre Finiteness theorems with integral conditions on curvature. 92b:53055 

— see also Besson, Gérard; et al., 92d:58027 

Ghys, Etienne (with de la Harpe, Pierre) Quasi-isométries et quasi-géodésiques. [Quasi- 
isometries and quasigeodesics] (see 92f:53050) 

— (with de la Harpe, Pierre) Le bord d’un arbre. [The boundary of a tree] (see 92£:53050) 

— Les groupes hyperboliques. [Hyperbolic groups] 92:57004 

Haglund, Frédéric Les poly¢dres de Gromov. (English summary) [Gromov’s polyhedra] 
92m:57005 

de la Harpe, Pierre see Ghys, Etienne, (92f:53050) and (92:53050) 

Jones, Lowell Edwin see Farrell, F. T., 92k:57038 

Li, Peter (with Tam, Luen-Fai) Complete surfaces with finite total curvature. 92e:53051 

McDuff, Dusa * Applications of PDE methods by Gromov, Floer, and others to symplectic 
geometry. 92k:58085 

— Symplectic manifolds with contact type boundaries. 92e:53042 

Nikolaev, I. G. see Berestovskii, V. N., 92g:53029 

Pansu, Pierre Cohomologie L’ des variétés 4 courbure négative, cas du degré 1. [L?- 
cohomology of negatively curved manifolds: the degree 1 case] 92e:58200 

Strebel, Ralph Appendix. Small cancellation groups. (see 92£:53050) 

Tam, Luen-Fai see Li, Peter, 92e:53051 


53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) 


Baum, Helga (with Friedrich, Thomas; Grunewald, Ralf; Kath, Ines) * Twistor and Killing 
spinors on Riemannian manifolds. 92h:53055 

Bokan, Neda The decomposition theory and its applications. 92m:53078 

Bueken, Peter (with Vanhecke, Lieven) Reflections in contact geometry. 92b:53068 

Calapso, M.T. (with Rosca, Radu) Structure conformal vector field on a Sasakian 
manifold. (French summary) 92¢:53060 

— Quasi Sasakian manifolds endowed with a 1-conformal cosymplectic structure. (Italian 
summary) 92¢:53026 

Chaki, M.C. (with Tarafdar, Manjusha) On a type of Sasakian manifold. 92c:53027 

Chi, Quo-Shin Quaternionic Kaehler manifolds and a curvature characterization of two- 
point homogeneous spaces. 92f:53051 

Chinea, Domingo (with Gonzalez-Davila, José Carmelo) Curvature relations in trans- 
Sasakian manifolds. (Spanish. English summary) (see 92g:00024) 

— see also Marrero, Juan Carlos, (92b:00044) 

Cho, Jong Taek see Kim, In Bae; et al., 92g:53039 

Endo, Hiroshi On K-contact Riemannian manifolds with vanishing E-contact Bochner 
curvature tensor. 92m:53079 

Enoki, Ichiro Compact Ricci-flat Kahler manifolds. 92k:53078 

Ercolani, Nicholas M. (with Sinha, Amarendra) On the construction of a hyper-Kahler 
metric on the moduli space of monopoles. 92e:53061 

Friedrich, Thomas (with Kath, Ines) Compact 5-dimensional Riemannian manifolds with 
parallel spinors. 92m:53080 

— see also Baum, Helga; et al., 92h:53055 

Galicki, Krzysztof Multi-centre metrics with negative cosmological constant. 92i:53040 

Gocho, Toru (with Nakajima, Hiraku) Einstein-Hermitian connections on hyper-Kahler 
quotients. 92k:53079 

Gonzalez-Davila, José Carmelo see Chinea, Domingo, (92g:00024) 

Graham, C. Robin (with Lee, John M.) Einstein metrics with prescribed conformal infinity 
on the ball. 92i:53041 

Grunewald, Ralf see Baum, Helga; et al., 92h:53055 

Habermann, Katharina The twistor equation on Riemannian manifolds. 92m:53081 

Hwang, Kyo Kuen see Kim, In Bae; et al., 92g:53039 

Jeong, Jang Chun (with Oh, Ge Hwan) Submanifolds of a Sasakian manifold with 
vanishing contact conformal curvature tensor field. 92e:53062 

Joyce, Dominic The hypercomplex quotient and the quaternionic quotient. 92f:53052 

Jun, Jae-Bek On special projective Killing 2-form in Sasakian manifolds. 92k:53080 

Kakolewski, Thomas The geometry of some Kahler-Einstein manifolds. 92e:53063 

Kath, Ines see Baum, Helga; et al., 92h:53055 and Friedrich, Thomas, 92m:53080 

Kerckhove, Michael The structure of Einstein spaces admitting conformal motions. 
92e:53064 

Ki, U-Hang (with Kim, Hyang Sook) Sasakian manifolds whose C-Bochner curvature 
tensor vanishes. 92b:53069 

Kim, Byung Hak Fibred Riemannian spaces with quasi Sasakian structure. 92c:53028 

Kim, Hyang Sook see Ki, U-Hang, 92b:53069 

Kim, In Bae (with Cho, Jong Taek; Hwang, Kyo Kuen) On almost everywhere warped 
product manifolds with harmonic curvatures. 92g:53039 

Kirichenko, V. F. Locally conformally Kahlerian manifolds with constant holomorphic 
sectional curvature. (Russian) 924:53038 

Kiyohara, Kazuyoshi Compact Liouville surfaces. 92h:53056 

LeBrun, Claude On complete quaternionic-Kahler manifolds. 92i:53042 

— Explicit self-dual metrics on CP2#---#CP2. 92g:53040 

— Anti-self-dual Hermitian metrics on blown-up Hopf surfaces. 92¢:53029 

Lee, John M. see Graham, C. Robin, 92i:53041 

Li, Zhong Lin (with Shen, Zong Qi) Some infinitesimal transformations of LP-Sasakian 
manifolds. (Chinese) 92b:53070 

Marrero, Juan Carlos (with Chinea, Domingo) On trans-Sasakian manifolds. (Spanish. 
English summary) (see 92b:00044) 

McInnes, Brett Methods of holonomy theory for Ricci-flat Riemannian manifolds. 
92g:53041 

Nakajima, Hiraku Self-duality of ALE Ricci-flat 4-manifolds and positive mass theorem. 
925:53018 

— see also Gocho, Toru, 92k:53079 

Oh, Ge Hwan see Jeong, Jang Chun, 92¢:53062 

Opozda, Barbara On /-totally real surfaces in Sasakian space forms. 92h:53057 

Pedersen, Henrik Hyper-Kahler metrics and monopoles. (see 92i:00029) 

— (with Tod, K. Paul) Einstein metrics and hyperbolic monopoles. 92£:53053 


DIFFERENTIAL GEOMETRY 


— see also Tod, K. Paul, 92b:53073 

Poon, Yat Sun (with Salamon, S.M.) Quaternionic Kahler 8-manifolds with positive scalar 
curvature. 92b:53071 

— see also Tod, K. Paul, 92b:53073 

Prvanovi¢, Mileva On SP-Sasakian manifold satisfying some curvature conditions. 
92i:53043 

Robinson, D.C. Four-dimensional conformal and quaternionic structures. 92g:53042 

Rodionov, E. D. Einstein metrics on a class of five-dimensional homogeneous spaces. 
92i:53044 

— Compact periodic standard Einstein manifolds. (Russian) 92e:53065 

Rong, Jian Ping On?K* space. 92g:53043 

Rosca, Radu see Calapso, M. T., 92e:53060 

Salamon, S. M. Self-duality and twistor geometry. 92e:53066 

— Curvature and holonomy. 92e:53067 

— see also Poon, Yat Sun, 92b:53071 

Sekigawa, K. (with Vanhecke, Lieven) Four-dimensional almost Kahler Einstein manifolds. 
92d:53039 

Shen, Zong Qi see Li, Zhong Lin; et al., 92b:53070 

Sinha, Amarendra see Ercolani, Nicholas M., 92e:53061 

Sobchuk, V.S. Geodesic mapping of Ricci 4-symmetric Riemannian spaces. (Russian) 
92j:53019 

Strominger, Andrew Special geometry. 92a:53068 

Swann, Andrew Hyper-Kahler and quaternionic Kahler geometry. 92c:53030 

Takano, Kazuhiko Certain 1-forms in fibred Sasakian spaces and certain 2-forms in fibred 
Riemannian spaces. 92h:53058 

Takasaki, Kanehisa Symmetries of hyper-Kahler (or Poisson gauge field) hierarchy. 
92b:53072 

Tarafdar, Manjusha On pseudo-symmetric and pseudo-Ricci-symmetric Sasakian 
manifolds. 92m:53082 

— see also Chaki, M. C., 92c:53027 

Tod, K. Paul A comment on: “Kahler surfaces with zero scalar curvature” [Classical 
Quantum Gravity 7 (1990), no. 10, 1707-1719; MR 91i:53057] by H. Pedersen and Y. S. 
Poon. 92b:53073 

— see also Pedersen, Henrik, 92£:53053 

Tripathi, Mukut Mani Nonexistence of proper semi-invariant submanifolds of an almost r- 
paracontact Riemannian manifold of P-Sasakian type. 92f:53054 

Vanhecke, Lieven see Bueken, Peter, 92b:53068 and Sekigawa, K., 924:53039 

Vazquez-Abal, Maria Elena Second-order geometry (77M). (Spanish. English summary) 
(see 92g:00024) 

— Harmonicity of tensor fields of type (1, 1). (Spanish. English summary) (see 92b:00044) 

Wolter, Thomas H. Einstein metrics on solvable groups. 92b:53074 

Yawata, Makoto On an 7-Einstein Sasakian manifold satisfying the certain conditions. 
92j:53020 


Items with secondary classifications in 53C25 

Ahn, Seong-Soo see Lee, Sung-Baik; et al., 92c:53036 

Alekseevskii, D. V. (with Graev, M. M.) Calabi-Yau metric on the Fermat surface. 
Isometries and totally geodesic submanifolds. 92¢:14036 

Anderson, Michael T. The L? structure of moduli spaces of Einstein metrics on 4- 
manifolds. 92m:58017 

Azukawa, Kazuo (with Morimoto, Shigeru) Second Ricci curvature of homogeneous 
bounded domains. 92m:53083 

Baikoussis, Christos (with Blair, David E.) 2-type integral surfaces in S5(1). 92h:53062 

Bando, Shigetoshi Bubbling out of Einstein manifolds. 92a:53065a 

— Correction and addition: “Bubbling out of Einstein manifolds”. 92a:53065b 

Belger, Martin see Schimming, Rainer, 92h:53051 

Berndt, Jiirgen Real hypersurfaces in quaternionic space forms. 92i:53048 

Blair, David E. see Baikoussis, Christos, 92h:53062 

Bourguignon, Jean-Pierre A mathematician’s visit to Kaluza-Klein theory. 92g:53067 

Calapso, M. T. (with Rosca, Radu) Semi-cosymplectic manifolds. (French summary) 
92i:53026 

Campana, Frédéric On twistor spaces of the class @. 92g:32059 

Capursi, M. (with Dragomir, Sorin) Contact Cauchy-Riemann submanifolds of odd- 
dimensional spheres. (Serbo-Croatian summary) 92d:53046 

Castellani, Leonardo (with D’Auria, Riccardo; Ferrara, Sergio) Special geometry without 
special coordinates. 92g:83079b 

— (with D’Auria, Riccardo; Ferrara, Sergio) Special Kahler geometry. An intrinsic 
formulation from N = 2 space-time supersymmetry. 92g:83079a 

Cheng, Qing Ming (with Xu, Hong Li) Eigenvalues and eigenfunctions in quasi-Einsteinian 
manifolds. (Chinese. English summary) 92h:58197 

Corlette, Kevin Archimedean superrigidity and hyperbolic geometry. 92m:57048 

D’Auria, Riccardo see Castellani, Leonardo; et al., 92g:83079a and 92g:83079b 

Deszcz, Ryszard Notes on totally umbilical submanifolds. 92f:53060 

Dragomir, Sorin On submanifolds of Sasakian manifolds. 92e:53079 

— Generalized Hopf manifolds, locally conformal Kaehler structures and real hypersurfaces. 
92k:53127 

— see also Capursi, M., 924:53046 

Duggal, K. L. (with Sharma, Ramesh) Hypersurfaces in a conformally flat space with 
curvature collineation. 92m:53093 

Endo, Hiroshi On Ricci curvatures of certain submanifolds in contact metric manifolds. 
92h:53068 

— On invariant submanifolds of contact metric manifolds. 92d:53049 

— On anti-invariant submanifolds in Sasakian manifolds with vanishing contact Bochner 
curvature tensor. 92¢:53080 

Ferrara, Sergio see Castellani, Leonardo; et al., 92g:83079a and 92g:83079b 

Fujiki, Akira Hyper-Kahler structure on the moduli space of flat bundles. 92m:53044 

Futaki, Akito A Lie algebra character and Kahler-Einstein metrics of positive scalar 
curvature. 92k:32053 

Gebarowski, Andrzej On a class of homogeneous conformally recurrent manifolds. 
92h:53079 





895 1992 


Gindikin, S.G. Between integral geometry and twistors. 92a:32039 

Graev, M. M. see Alekseevskii, D. V., 92c:14036 

Guo, Zhen Invariant submanifolds of a quasi-Sasakian manifold. (Chinese. English 
summary) 92b:53092 

Howe, P.S. (with Papadopoulos, George J.) A note on holonomy groups and sigma models. 
92i:81324 

Jeong, Jang Chun (with Lee, Jae Don; Oh, Ge Hwan; Pak, Jin Suk) On the contact 
conformal curvature tensor. 92a:53046 

Ki, U-Hang (with Pak, Jin Suk) On totally real submanifolds with parallel mean curvature 
vector of a Sasakian space form. 92¢:53084 

Kim, Nam-Gil see Lee, Sung-Baik; et al., 92¢:53036 

Kobayashi, Minoru Semi-invariant submanifolds in an f-manifold with complemented 
frames. 92h:53070 

Konopka, Czesiaw On extrinsic spheres in Kahler manifolds. 92k:53104 

Koufogiorgos, T. see Sharma, Ramesh, 92i:53029 

Kronheimer, Peter B. A hyper-K4hlerian structure on coadjoint orbits of a semisimple 
complex group. 92b:53031 

LeBrun, Claude Scalar-flat Kahler metrics on blown-up ruled surfaces. 92i:53066 

Lee, Jae Don see Jeong, Jang Chun; et al., 92a:53046 

Lee, Sung-Baik (with Kim, Nam-Gil; Ahn, Seong-Soo) Pseudo-Ryan real hypersurfaces of a 
complex space form. 92¢:53036 

Li, Hai Zhong see Sun, Zhen Zu; et al., 92m:53097 

Marchiafava, Stefano On the local geometry of quaternionic Kahler manifolds. (Italian. 
English summary) 92k:53034 

Merkulov, S. A. Twistor transform on conformally Einstein quaternionic manifolds. 
(Russian) 92¢:32036 

Morimoto, Shigeru see Azukawa, Kazuo, 92m:53083 

Musso, Emilio Homogeneous pseudo-Hermitian Riemannian manifolds of Einstein type. 
92e:32006 

Nadel, Alan Michael Multiplier ideal sheaves and Kahler-Einstein metrics of positive scalar 
curvature. 924:32038 

Oh, Ge Hwan see Jeong, Jang Chun; et al., 92a:53046 

Ohyama, Yousuke Self-duality and integrable systems. 92d:58086 

Ornea, Liviu Minimal real hypersurfaces in locally conformal Kahler manifolds. 92i:53019 

Pak, Jin Suk see Jeong, Jang Chun; et al., 92a:53046 and Ki, U-Hang, 92¢:53084 

Pan’zhenskii, V. 1. On the geometry of a tangent bundle of the locally conic space. (Russian) 
92e:53024 

Papadopoulos, George J. see Howe, P. S., 92i:81324 

Pedersen, Henrik (with Poon, Yat Sun) Hamiltonian constructions of Kahler-Einstein 
metrics and Kahler metrics of constant scalar curvature. 92:32051 

Pérez, Juan de Dios (with Santos, F.G.) On real hypersurfaces with harmonic curvature of 
a quaternionic projective space. 92b:53096 

Domenico Contact Riemannian manifolds satisfying R(X,¢) - R= 0. 92m:53053 

Podesta, Fabio Isometries of tangent sphere bundles. (Italian summary) 92:53042 

Pontecorvo, Massimiliano Algebraic dimension of twistor spaces and scalar curvature of 
anti-self-dual metrics. 92j:32113 

— On twistor spaces of anti-self-dual Hermitian surfaces. 92h:32047 

Poon, Yat Sun see Pedersen, Henrik, 92f:32051 

Pripoae, Gabriel Propriétés de rigidité concernant la courbure des métriques indéfinies. 
(English summary) [Rigidity properties of the curvature of indefinite metrics] 92a:53093 

Rogca, Radu see Calapso, M. T., 92i:53026 

Santos, F.G. see Pérez, Juan de Dios, 92b:53096 

Schimming, Rainer (with Belger, Martin) Polyharmonic radial functions on a Riemannian 
manifold. 92h:53051 

Sharma, Ramesh Second order parallel tensors on contact manifolds. 92b:53041 

— (with Koufogiorgos, T.) Locally symmetric and Ricci-symmetric contact metric 
manifolds. 92i:53029 

— see also Duggal, K. L., 92m:53093 

Simanca, Santiago R. Kahler metrics of constant scalar curvature on bundles over CP,,_;. 
92m:53115 

Sinha, B. B. (with Yadav, Ram Kirty) Almost contact semi-symmetric metric Finsler 
connections on vector bundle. 92a:53096 

— (with Yadav, R.N.) Some results on semi-invariant submanifolds of a certain class of 
almost contact manifolds. 92d:53052 

Sun, Zhen Zu (with Li, Hai Zhong) Sasaki submanifolds of Kaehler manifolds. (Chinese. 
English summary) 92m:53097 

Takasaki, Kanehisa An infinite number of Hamiltonian flows arising from hyper-Kahler 
metrics. (see 92f:81008) 

Todorov, Andrei Nikolov Spinors and moduli of Einstein metrics on Kahler simply 
connected manifolds with a canonical class K = 0. 92¢:32023 

Tshikuna-Matamba, T. Quelques classes des submersions métriques presque de contact. 
[Some classes of almost contact metric submersions] 92b:53043 

Vanhecke, Lieven Geometry and symmetry. 92¢:53069 

Verbitskii, M.S. Action of the Lie algebra of SO(5) on the cohomology of a hyper-Kahler 
manifold. (Russian) 92a:53095 

Ville, M. Twistor examples of algebraic dimension zero threefolds. 92¢:32034 

Xu, Hong Li see Cheng, Qing Ming; et al., 92h:58197 

Yadav, R. N. see Sinha, B. B., 92d:53052 

Yadav, Ram Kirty see Sinha, B. B., 92a:53096 


53C30 Homogeneous manifolds [see also 14M15, 14M17, 
32M10, 57T15] 


Azukawa, Kazuo (with Morimoto, Shigeru) Second Ricci curvature of homogeneous 
bounded domains. 92m:53083 

Borisenko, A. A. (with Nikolaevskii, Yu. A.) Grassmann manifolds and Grassmann image 
of submanifolds. (Russian) 92k:53081 

Chinea, Domingo see Gonzdlez-Davila, José Carmelo, (92g:00024) 

D’Atri, J. E. (with Dotti Miatello, I.) Eigenvalues of the curvature operator for certain 
homogeneous manifolds. 92j:53021 


53C Global differential geometry 


53C30 


Dotti Miatello, I. see D’Atri, J. E., 92j:53021 

Druetta, Maria J. Nonpositively curved homogeneous spaces of dimension five. 924:53040 

Fleischer, A. Triple systems and submanifolds in a homogeneous space. (Russian summary) 
92a:53069 

Galkin, V.M. Left distributive quasigroups and homogeneous spaces. (see 92f:53003) 

Gancarzewicz, Jacek (with Salgado, Modesto) The tangent bundle of p’-velocities over a 
homogeneous space. 92k:53082 

Gonzalez-Davila, José Carmelo (with Chinea, Domingo) Homogeneous structures on 
generalized symmetric spaces. (Spanish) (see 92g:00024) 

Goze, Michel (with Piu, M. Paola) Classification des métriques invariantes a gauche sur le 
groupe de Heisenberg. (English summary) [Classification of left-invariant metrics on the 
Heisenberg group] 92h:53059 

Jiménez, J. Alfredo Stiefel manifolds and the existence of nontrivial generalizations of 
Riemannian symmetric spaces from a differentiable viewpoint. 924:53041 

Kaizer, V. V. Conjugate points of left-invariant metrics on Lie groups. (Russian) 92d:53042 

Kaneyuki, Soji On a remarkable class of homogeneous symplectic manifolds. 92j:53022 

Kime'l‘fel'd, B. N. On isometries of left invariant metrics on semisimple Lie groups. 
92k:53083 

Kowalski, Oldiich (with Tricerri, Franco; Vanhecke, Lieven) New examples of nonhomoge- 
neous Riemannian manifolds whose curvature tensor is that of a Riemannian symmetric 
space. (French summary) 92a:53070 

— (with Vanhecke, Lieven) Riemannian manifolds with homogeneous geodesics. (Italian 
summary) 92m:53084 

Kreck, Matthias (with Stolz, Stephan) Some nondiffeomorphic homeomorphic homoge- 
neous 7-manifolds with positive sectional curvature. 92d:53043 

Lastaria, Federico G. Comparison of metrics on three-dimensional Lie groups. (Italian 
summary) 92k:53084 

Le Hong Van Globally minimal homogeneous spaces in regular orbits of the adjoint 
representation of classical Lie groups. (Russian) 92j:53023 

— Globally minimal homogeneous subspaces in compact homogeneous symplectic spaces. 
92k:53085 

Marinosci, Rosa Anna On some properties of Riemannian s-manifolds related to the theory 
of homogeneous structures. (Italian summary) 92k:53086 

Mizuhara, Akira Homogeneous hypersurfaces in Euclidean spaces. A theorem of T. Nagano 
and T. Takahashi. 92a:53071 

Morimoto, Shigeru see Azukawa, Kazuo, 92m:53083 

Neeb, Karl-Hermann Conal orders on homogeneous spaces. 92h:53060 

Nicolodi, L. (with Tricerri, Franco) On two theorems of I. M. Singer about homogeneous 
spaces. 92b:53075 

Nikolaevskii, Yu. A. see Borisenko, A. A., 92k:53081 

Nishiyama, Shingo The Ricci tensors of five-dimensional g-symmetric spaces. 92m:53085 

Pastore, Anna Maria Reducibility of homogeneous Riemannian structures of the class .F% in 
low dimension. 92i:53045 

— (with Verroca, F.) Some results on the homogeneous Riemannian structures of class 
SF & A. (Italian summary) 92e:53068 

Perrone, Domenico (with Vanhecke, Lieven) Five-dimensional homogeneous contact 
manifolds and related problems. 92c¢:53031 

Piu, M. Paola see Goze, Michel, 92h:53059 

Rodionov, E. D. Homogeneous Riemannian almost P-manifolds. (Russian) 92b:53076 

Sadowski, Michal Closed parallel 1-forms on infranilmanifolds and Calabi reductions. 
92b:53077 

Saenz, Jorge Homogeneous symplectic manifolds. (Spanish) 92a:53072 

Salgado, Modesto see Gancarzewicz, Jacek, 92k:53082 

Stolz, Stephan see Kreck, Matthias, 92d:53043 

Suvorov, V. V. Morphisms of G-spaces that determine invariant framings and connections. 
(Russian) 92k:53087 

Szabé, Zoltan Imre A short topological proof for the symmetry of 2 point homogeneous 
spaces. 92f:53055 

Tricerri, Franco see Kowalski, Oldrich; et al., 92a:53070 and Nicolodi, L., 92b:53075 

Vanhecke, Lieven Geometry and symmetry. 92e:53069 

— see also Kowalski, Oldrich; et al., 92a:53070; Perrone, Domenico, 92c:53031 and Kowalski, 
Oldiich, 92m:53084 

Vedernikov, S. V. Invariant conditions generated by global pairs. (Russian) 92m:53086 

Verroca, F. see Pastore, Anna Maria, 92e:53068 

Wang, McKenzie (with Ziller, Wolfgang) On isotropy irreducible Riemannian manifolds. 
92b:53078 

Wolter, Thomas H. Homogeneous manifolds with nonpositive curvature operator. 
92b:53079 

— Geometry of homogeneous Hadamard manifolds. 92b:53080 

Ziller, Wolfgang see Wang, McKenzie, 92b:53078 


Items with secondary classifications in 53C30 

Baston, Robert J. Conformally invariant operators: singular cases. 92k:22025 

Black, Malcolm * Harmonic maps into homogeneous spaces. 92j:58026 

Bokan, Neda The decomposition theory and its applications. 92m:53078 

Chi, Quo-Shin Quaternionic Kaehler manifolds and a curvature characterization of two- 
point homogeneous spaces. 92f:53051 

Cordero, Luis A. (with Fernandez, Marisa Luisa; Gray, Alfred) The fiber structure of a 
compact nilmanifold. (Spanish) 92k:57069 

Deng, Hui Some matrix inequalities and estimates of the sectional curvatures of Riemann- 
ian symmetric spaces. (Chinese) 92m:53087 

Dorfmeister, Josef (with Guan, Zhuang Dan) Fine structure of reductive pseudo-K4hlerian 
spaces. 92h:53081 

Fernandez, Marisa Luisa see Cordero, Luis A.; et al., 92k:57069 

Gebarowski, Andrzej On a class of homogeneous conformally recurrent manifolds. 
92h:53079 

Gorbatsevich, V. V. Plesio-compact homogeneous spaces. II. (Russian) 92m:22003 

Gray, Alfred see Cordero, Luis A.; et al., 92k:57069 

Guan, Zhuang Dan see Dorfmeister, Josef, 92h:53081 





53C30 


Hangan, Théodor Accessibilité en géométrie riemannienne non-holonome. [Accessibility in 
nonholonomic Riemannian geometry] 92¢:53046 

Hilgert, Joachim (with Hofmann, Karl Heinrich) On the causal structure of homogeneous 
manifolds. 92a:53089 

Hofmann, Karl Heinrich see Hilgert, Joachim, 92a:53089 

Kostant, Bertram The vanishing of scalar curvature and the minimal representation of 
SO(4, 4). 92g:22031 

Kowalski, Oldtich Riemannian manifolds with homogeneous geodesics. 92e:53058 

— Counterexample to the “second Singer’s theorem”. 92b:53057 

Kriiger, Andreas Homogeneous Cauchy-Riemann structures. 92j:32068 

Laquer, H. Turner Invariant affine connections on Lie groups. 92h:53031 

Levichev, A. V. Causal structure of left-invariant Lorentz metrics on the group M2 @ R?. 
(Russian) 92d:53059 

Lichnerowicz, André Groupes kahleriens. (English summary) [K4hler Lie groups] 
92¢:32037 

McCord, Christopher Nielsen numbers and Lefschetz numbers on solvmanifolds. 
92a:55002 

Musso, Emilio Homogeneous pseudo-Hermitian Riemannian manifolds of Einstein type. 
92e:32006 

Piu, M. Paola Sur les flots riemanniens des espaces de D’Atri de dimension 3. (English 
summary) [Riemannian flows on three-dimensional D’Atri spaces] 92a:53054 

Rodionov, E. D. Einstein metrics on a class of five-dimensional homogeneous spaces. 
92i:53044 

— Compact periodic standard Einstein manifolds. (Russian) 92¢:53065 

Shchetinin, A. N. On a class of compact homogeneous spaces. II. 92h:57057 

Swann, Andrew Hyper-Kahler and quaternionic Kahler geometry. 92c:53030 

Tralle, A. E. A new existence theorem for the generalized Riemannian symmetric spaces of 
solvable type. 92b:53083 

Vargas, Jorge Horospheres in pseudo-symmetric spaces. 92¢:22017 

Wang, Ming’ The classification of flat compact complete space-forms with metric of 
signature (2,2). 92b:53108 

Wolter, Thomas H. Einstein metrics on solvable groups. 92b:53074 

Ye, Fang Cao Invariant differential operators on the nonexceptional and irreducible 
Riemannian symmetric spaces of the third type. (Chinese. English summary) 92m:58148 


53C35 Symmetric spaces [see also 32M15, 57T15] 


Burtseva, T. A. see Rosenfeld, Boris A.; et al., 92b:53081 

Chen, Bang-Yen Symmetries of compact symmetric spaces. (see 92b:53001) 

Chi, Quo-Shin Curvature characterization and classification of rank-one symmetric spaces. 
92¢:53044 

Deng, Hui Some matrix inequalities and estimates of the sectional curvatures of Riemann- 
ian symmetric spaces. (Chinese) 92m:53087 

Djori¢é, M. (with Vanhecke, Lieven) A theorem of Archimedes about spheres and cylinders 
and two-point homogeneous spaces. 92g:53045 

Darr, Norbert Symmetric spaces and convex cones. 92k:53088 

Dushina, N. V. see Rosenfeld, Boris A.; et al., 92b:53081 

Gonzalez-Davila, José Carmelo (with Gonzalez-Davila, M. C.; Vanhecke, Lieven) Killing- 
transversally symmetric spaces. 92k:53089 

Gonzdlez-Davila, M. C. see Gonzdlez-Davila, José Carmelo; et al., 92k:53089 

Hamenstadt, Ursula A geometric characterization of negatively curved locally symmetric 
spaces. 92i:53046 

Kostrikina, L. P. see Rosenfeld, Boris A.; et al., 92b:53081 

Laquer, H. Turner Invariant affine connections on symmetric spaces. 92i:53047 

Leuzinger, Enrico Une relation fondamentale pour les triangles dans les espaces 
symétriques. (English summary) [A fundamental relation for triangles in symmetric 
spaces] 92e:53070 

Marinosci, Rosa Anna (with Vanhecke, Lieven) Locally s-regular manifolds and symme- 
tries. 92¢:53032 

Marmazeev, V. I. Metrizable naturally reductive spaces with regular multiplication. 
(Russian) 92f:53056 

Mikesh, I. (with Tolobaev, O. S.) Symmetric and projectively symmetric spaces with affine 
connection. (Russian) (see 92m:54001) 

Mikheev, P.O. Almost symmetric and antisymmetric spaces with affine connection. 
(Russian) 92k:53090 

Nagano, Tadashi (with Sumi, Makiko) The spheres in symmetric spaces. 92e:53071 

— (with Sekiguchi, Jirs) Commuting involutions of semisimple groups. 92m:53088 

Neeb, Karl-Hermann Monotone functions on symmetric spaces. 92h:53061 

Olmos, Carles (with Sanchez, Cristian) A geometric characterization of the orbits of s- 
representations. 92k:53091 

Rastogi, Suresh Chandra Generalised curvature tensor fields in a Riemannian manifold. 


Romani, Giuliano N-symmetric submanifolds. (Italian summary) 92e:53072 

Rosenfeld, Boris A. (with Burtseva, T. A.; Dushina, N. V.; Kostrikina, L. P.; Yukhtina, T. I.) 
Curvature tensors of Hermitian elliptic spaces. (Russian) 92b:53081 

Rouviere, Francois Invariant analysis and contractions of symmetric spaces. I. 92b:53082 

Sabinin, L. V. (with Sabinina, L. L.) On geometry of transsymmetric spaces. (see 
92£:53003) 

Sabinina, L. L. see Sabinin, L. V., (92f:53003) 

Sanchez, Cristidn see Olmos, Carlos, 92k:53091 

Sekiguchi, Jiré see Nagano, Tadashi, 92m:53088 

Sumi, Makiko see Nagano, Tadashi, 92e:53071 


Talmadge, Andy (with Yang, Kichoon) Holomorphic curves in the orthogonal twistor space. 


92k:53092 

Tasaki, Hiroyuki (with Umehara, Masaaki; Yamada, Kotaro) Deformations of symmetric 
spaces of compact type to their noncompact duals. 92m:53089 

Todua, G. Sh. A class of symmetric spaces. (Russian. English and Georgian summaries) 
924:53044 

Tolobaev, O.S. see Mikesh, I., (92m:54001) 


DIFFERENTIAL GEOMETRY 1992 896 


Tralle, A. E. A new existence theorem for the generalized Riemannian symmetric spaces of 
solvable type. 92b:53083 

— One new existence theorem for the generalized symmetric Riemannian spaces with 
solvable isometry group. 92k:53093 

— Some generalized symmetric spaces of zero Euler characteristic. (Russian) 92k:53094 

Umehara, Masaaki see Tasaki, Hiroyuki; et al., 92m:53089 

Vanhecke, Lieven see Marinosci, Rosa Anna, 92¢:53032; Djori¢é, M., 92g:53045 and 
Gonzalez-Davila, José Carmelo; et al., 92k:53089 

Xenos, Ph. J. On a special Riemannian (2k + 1)-symmetric s-manifold. 92b:53084 

Yamada, Kotaro see Tasaki, Hiroyuki; et al., 92m:53089 

Yang, Kichoon see Talmadge, Andy, 92k:53092 

Yukhtina, T. I. see Rosenfeld, Boris A.; et al., 92b:53081 


Items with secondary classifications in 53C35 

Balashchenko, V. V. (with Stepanov, N. A.) Canonical affinor structures on regular ®- 
spaces. (Russian) 92¢:53034 

Borisenko, A. A. (with Nikolaevskii, Yu. A.) Grassmann manifolds and Grassmann image 
of submanifolds. (Russian) 92k:53081 

Bray, William O. (with Solmon, Donald C.) Paley-Wiener theorems on rank one symmetric 
spaces of noncompact type. 92h:43015 

Bueken, Peter (with Vanhecke, Lieven) Reflections in contact geometry. 92b:53068 

Casadio Tarabusi, Enrico Inversion of the X-ray transform: continuous vs. discrete. 
92:44004 

Cheng, Benny N. Nonunique solutions to the Plateau problem on symmetric spaces. 
92d:58039 

Chinea, Domingo see Gonzdlez-Davila, José Carmelo, (92g:00024) 

Gancarzewicz, Jacek (with Salgado, Modesto) The tangent bundle of p’-velocities over a 
homogeneous space. 92k:53082 

Gasqui, Jacques (with Goldschmidt, Hubert) On the geometry of the complex quadric. 
92h:53045 

Goldschmidt, Hubert see Gasqui, Jacques, 92h:53045 

Gonzalez-Davila, José Carmelo (with Chinea, Domingo) Homogeneous structures on 
generalized symmetric spaces. (Spanish) (see 92g:00024) 

Helminck, A. G. On groups with a Cartan involution. 92j:20042 

Ishitoya, Kiminao Squaring operations in the Hermitian symmetric spaces. 92j:55028 

Jiménez, J. Alfredo Stiefel manifolds and the existence of nontrivial generalizations of 
Riemannian symmetric spaces from a differentiable viewpoint. 92d:53041 

Kaneyuki, Soji Pseudo-Hermitian symmetric spaces and Siegel domains over nondegenerate 
cones. 92f:32058 

Koufogiorgos, T. see Sharma, Ramesh, 92i:53029 

Kowalski, Oldiich (with Tricerri, Franco; Vanhecke, Lieven) New examples of nonhomoge- 
neous Riemannian manifolds whose curvature tensor is that of a Riemannian symmetric 
space. (French summary) 92a:53070 

Leuzinger, Enrico Les lois des sinus des espaces symétriques S de rang | et l’application 
moment de 7*S. (English summary) [The laws of sines for symmetric spaces S of rank 1 
and the moment map of 7*S] 92i:58141 

Luo, Zhi Guo A note on Kahler submanifolds in locally symmetric Bochner-K4hler 
manifolds. (Chinese. English summary) 92i:53050 

Lynker, Monika (with Schimmrigk, Rolf) String compactifications on G/H Landau- 
Ginzburg theories. 92d:81107 

Marinosci, Rosa Anna On some properties of Riemannian s-manifolds related to the theory 
of homogeneous structures. (Italian summary) 92k:53086 

Mok, Ngaiming * Metric rigidity theorems on Hermitian locally symmetric manifolds. 
92d:32046 

Nikolaevskii, Yu. A. see Borisenko, A. A., 92k:53081 

Prado, Humberto E. Reflection positivity for unitary representations of Lie groups. 
92£:22019 

Salgado, Modesto see Gancarzewicz, Jacek, 92k:53082 

Sanchez, Cristidn Extrinsic k-symmetric submanifolds are tight. 92h:53076 

Schimmrigk, Rolf see Lynker, Monika, 92d:81107 

Sharma, Ramesh (with Koufogiorgos, T.) Locally symmetric and Ricci-symmetric contact 
metric manifolds. 92i:53029 

Solmon, Donald C. see Bray, William O., 92h:43015 

Stepanov, N. A. see Balashchenko, V. V., 92e:53034 

Takeuchi, Masaru Proper Dupin hypersurfaces generated by symmetric submanifolds. 
92b:53103 

Tricerri, Franco see Kowalski, Oldrich; et al., 92a:53070 

Tsai, I-Hsun Rigidity of holomorphic maps between compact Hermitian symmetric spaces. 
92d:32047 

Tsuji, Tadashi Homogeneous Siegel domains of nonpositive holomorphic bisectional 
curvature. 92j:32119 

Vanhecke, Lieven see Kowalski, Oldiich; et al., 92a:53070 and Bueken, Peter, 92b:53068 

Wolter, Thomas H. Geometry of homogeneous Hadamard manifolds. 92b:53080 

Yokota, Ichiro Realizations of involutive automorphisms o and G’ of exceptional linear Lie 
groups G. I. G = G», Fy and Eg. 92j:22019a 

— Realizations of involutive automorphisms o and G? of exceptional linear Lie groups G. II. 
G=E;. 92j:22019b 

— Realizations of involutive automorphisms o and G? of exceptional linear Lie groups G. 
Ill. G = Eg. 92j:22019c 


53C40 Global submanifolds [see also 53B25] 


Abe, Kojun On closed regular curves in Riemannian manifolds. 92g:53046 

Agaoka, Yoshio Generalized Gauss equations. 924:53045 

Ahmad, Suab see Nivas, R., 92e:53086 

Ahn, Seong-Soo see Lee, Sung-Baik; et al., 92c:53036 

Alexander, Stephanie B. (with Currier, Robert J.) Non-negatively curved hypersurfaces in 
hyperbolic space. 92¢e:53073 

de Almeida, S.C. (with Brito, F.G. B.) Closed hypersurfaces of S* with constant mean 
curvature and constant scalar curvature. 92k:53095 





897 1992 


(Antonucci, Mauricio) see Dajczer, Marcos, 92i:53049 

Bai, Zheng Guo The harmonic forms on a compact Riemannian manifold. (Chinese) 
92b:53085 

Baikoussis, Christos (with Blair, David E.) 2-type integral surfaces in S°(1). 92h:53062 

Bashir, M. A. Notice of retraction: “On totally real submanifolds in a 6-sphere” [Canad. 
Math. Bull. 33 (1990), no. 2, 162-166; MR 91i:53059a]. 92h:53063 

— On the three-dimensional CR-submanifolds of the six-dimensional sphere. 92h:53064 

— Some totally umbilical CR-submanifolds of a Kaehler manifold. 92k:53096 

Beltagy, M. Immersions into manifolds without conjugate points. 92f:53057 

— On the geometry of foot and farthest points. 92m:53090 

Berndt, Jiirgen Real hypersurfaces in quaternionic space forms. 92i:53048 

Blair, David E. see Baikoussis, Christos, 92h:53062 

Borisenko, A. A. Cylindrical multidimensional surfaces in the Lobachevskii space. 
(Russian) 92b:53086 

Brito, F.G. B. see de Almeida, S. C., 92k:53095 

Bucki, Andrzej Hypersurfaces of almost r-paracontact Riemannian manifolds. 92a:53073 

Cabrerizo, José L. (with Fernandez, Luis M.; Fernandez Andrés, Manuel) A classification 
of certain submanifolds of an S-manifold. 92:53058 

Cai, Heng Wu The splitting theorem for isoparametric submanifolds and their tubular 
hypersurfaces. (Chinese. English summary) 92k:53097 

Capursi, M. (with Dragomir, Sorin) Contact Cauchy-Riemann submanifolds of odd- 
dimensional spheres. (Serbo-Croatian summary) 924:53046 

Chakmazyan, A. V. * HopMasbHas CBASHOCTS B reOMeTpHH NoMHOroobpa3uk. (Russian) 
[Normal connections in the geometry of submanifolds] 92g:53047 

— On a class of CR-submanifolds in a Kahlerian manifold. (Russian) 92k:53098 

Chen, Bang-Yen Null 2-type surfaces in Euclidean space. 92k:53099 

— (with Piccinni, Paolo) Finite type submanifolds and finite type Gauss maps. 92e:53074 

— (with Song, Hong Zao) Null 2-type surfaces in Minkowski space-time. 92c:53033 

— * Geometry of slant submanifolds. 924:53047 

— (with Petrovic, Mira) On spectral decomposition of immersions of finite type. 92h:53065 

— Some open problems and conjectures on submanifolds of finite type. 92m:53091 

— (with Tazawa, Yoshihiko) Slant submanifolds in complex Euclidean spaces. 92¢:53075 

Chen, Jian Hua Minimal submanifolds of a conformally flat space. (Chinese. English 
summary) 92g:53048 

Cheng, Qing Ming Complete space-like hypersurfaces of a de Sitter space with r = KH. 
92¢e:53076 

— Complete space-like submanifolds in a de Sitter space with parallel mean curvature 
vector. 92e:53077 

— Complete hypersurfaces in a 4-dimensional unit sphere with constant mean curvature. 
92m:53092 

Currier, Robert J. see Alexander, Stephanie B., 92e:53073 

Dajezer, Marcos * Submanifolds and isometric immersions. 92i:53049 

— (with Rodriguez, Lucio L.) Infinitesimal rigidity of Euclidean submanifolds. (French 
summary) 92d:53048 

Deprez, J. Semi-parallel immersions. 92¢:53078 

Deshmukh, Sharief Complete hypersurfaces in a Euclidean space. 92h:53066 

— Totally real submanifolds in a 6-sphere. 92f:53059 

— see also Ghazal, Tahsin, 92d:53050 and El Hadi, Kamal, 92f:53061 

Deszcz, Ryszard Notes on totally umbilical submanifolds. 92f:53060 

Dillen, Franki (with Opozda, Barbara; Verstraelen, Leopold; Vrancken, Luc) On almost 
complex surfaces of the nearly Kaehler 6-sphere. (Serbo-Croatian summary) 92a:53074 

— (with Verstraelen, Leopold; Vrancken, Luc) On problems of U. Simon concerning 
minimal submanifolds of the nearly Kaehler 6-sphere. 92b:53087 

— Sur les hypersurfaces paralléles d’ordre supérieur. (English summary) [On higher-order 
parallel hypersurfaces] 92a:53075 

Dimitri¢é, Ivko Quadric representation of a submanifold. 92¢:53034 

Dorfmeister, Josef (with Neher, Erhard) Isoparametric triple systems with special Z- 
structure. 92h:53067 

Dragomir, Sorin On submanifolds of Sasakian manifolds. 92¢:53079 

— (with Grimaldi, Renata) Cauchy-Riemann submanifolds of locally conformal Kaehler 
manifolds. III. 92g:53049 

— see also Capursi, M., 924:53046 

Duggal, K. L. (with Sharma, Ramesh) Hypersurfaces in a conformally flat space with 
curvature collineation. 92m:53093 

El Hadi, Kamal (with Deshmukh, Sharief) On totally real three-dimensional submanifolds 
of S°. 92£:53061 

Endo, Hiroshi On Ricci curvatures of certain submanifolds in contact metric manifolds. 
92h:53068 

— On invariant submanifolds of contact metric manifolds. 924:53049 

— On anti-invariant submanifolds in Sasakian manifolds with vanishing contact Bochner 
curvature tensor. 92e:53080 

Fernandez, Luis M. CR-products of S-manifolds. 92b:53088 

— see also Cabrerizo, José L.; et al., 92£:53058 

Fernandez Andrés, Manuel see Cabrerizo, José L.; et al., 92f:53058 

Ferrandez, Angel (with Garay, O. J.; Lucas, Pascual) Finite type ruled manifolds shaped on 
spherical submanifolds. 92b:53089 

Garay, O. J. see Ferrandez, Angel; et al., 92b:53089 

Gauchman, Hillel Rigidity theorems for submanifolds of a sphere with parallel mean 
curvature vector. 92b:53090 

Ghazal, Tahsin (with Deshmukh, Sharief) Submanifolds of Euclidean space with parallel 
mean curvature vector. 92d:53050 

— Hypersurfaces in a sphere. 

Giménez, Fernando Comparison theorems for the volume of a complex submanifold of a 
Kaehler manifold. 92b:53091 

Grimaldi, Renata see Dragomir, Sorin, 92g:53049 

Guo, Zhen Invariant submanifolds of a quasi-Sasakian manifold. (Chinese. English 
summary) 92b:53092 

Hasanis, Thomas (with Koutroufiotis, Dimitri) Hypersurfaces with a constant support 
function. 92g:53050 

— (with Viachos, Theodore) Coordinate finite-type submanifolds. 92b:53093 


53C Global differential geometry 


53C40 


— (with Vlachos, Theodore) Spherical 2-type hypersurfaces. 92e:53081 

Hashimoto, Hideya Oriented 5-dimensional submanifolds in the purely imaginary 
octonians. 92j:53024 

Hendriks, Harrie Sur le cut-locus d’une sous-variété de l’espace euclidien. (English 
summary) [On the cut locus of a submanifold of Euclidean space] 92a:53076 

Houh, Chorng Shi Rotation surfaces of finite type. 92d:53051 

Hsiang, Wu-Yi Global differential geometry of submanifolds. 92e:53082 

Je, Hai Gon (with Kang, Tae-Ho; Shin, Yong Ho) Totally complex submanifolds with 
simple geodesics immersed in a quaternionic projective space. 92b:53094 

Kang, Tae-Ho see Je, Hai Gon; et al., 92b:53094 

Ki, U-Hang (with Kim, Soon Ja; Lee, Sung-Baik; Yoo, In-Yeong) Semi-invariant submani- 
folds with harmonic curvature. 92e:53083 

— (with Suh, Young Jin) On real hypersurfaces of a complex space form. 92f:53062 

— (with Pak, Jin Suk) On totally real submanifolds with parallel mean curvature vector of a 
Sasakian space form. 92¢:53084 

— (with Nakagawa, Hisao) Hypersurfaces with harmonic Wey] tensor of a real space form. 
92k:53100 

— (with Kim, Soon Ja; Lee, Sung-Baik) Some characterizations of a real hypersurface of 
type A. 92h:53069 

— (with Kim, Hyang Sook; Nakagawa, Hisao) Complete maximal space-like hypersurfaces 
of an anti-de Sitter space. 92k:53101 

Kim, Hyang Sook see Ki, U-Hang; et al., 92k:53101 

Kim, Jong Joo (with Pyo, Yong-Soo) Real hypersurfaces with parallelly cyclic condition of 
a complex space form. 92c:53035 

Kim, Nam-Gil see Lee, Sung-Baik; et al., 92c:53036 

Kim, Soon Ja see Ki, U-Hang; et al., 92e:53083 and 92h:53069 

Kimura, Makoto (with Maeda, Sadahiro) On real hypersurfaces of a complex projective 
space. II. 92m:53094 

Kobayashi, Minoru Semi-invariant submanifolds in an f-manifold with complemented 
frames. 92h:53070 

— Some results on anti-quaternion submanifolds in Kaehler quaternion manifolds. 
92b:53095 

— Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu 
manifolds. 92k:53102 

Kon, Masahiro A theorem on anti-invariant minimal submanifolds of an odd-dimensional 
sphere. 92k:53103 

— see also Yano, Kentaro, 92k:53109 

Kon, S. H. (with Tan, Sin Leng) CR-submanifolds of a nearly Kaehlerian manifold. 
92g:53051 

Konopka, Czesiaw On extrinsic spheres in Kahler manifolds. 92k:53104 

Koutroufiotis, Dimitri see Hasanis, Thomas, 92g:53050 

Ledger, Arthur J. (with Okumura, Masafumi) A congruence theorem for hypersurfaces of 
Riemannian manifolds. 92e:53085 

Lee, Sung-Baik (with Kim, Nam-Gil; Ahn, Seong-Soo) Pseudo-Ryan real hypersurfaces of a 
complex space form. 92c:53036 

— see also Ki, U-Hang; et al., 92e:53083 and 92h:53069 

Leung, Pui Fai An estimate on the Ricci curvature of a submanifold and some applications. 
92g:53052 

Li, An Min see Vrancken, Luc; et al., 92m:53099 

Li, Hai Zhong see Sun, Zhen Zu; et al., 92m:53097 

Li, Shi Jie Finite type pseudo-umbilical submanifolds in a hypersphere. 92k:53105 

(Lima-Filho, Paulo) see Dajczer, Marcos, 92i:53049 

Lucas, Pascual see Ferrandez, Angel; et al., 92b:53089 

Luo, Zhi Guo A note on Kahler submanifolds in locally symmetric Bochner-K4ahler 
manifolds. (Chinese. English summary) 92i:53050 

Ma, Zhi Sheng Complete hypersurfaces in H*(—1) with two equal constant principal 
curvatures. (Chinese. English summary) 92i:53051 

— Complete hypersurfaces in S4(1) with two equal nonzero constant principal curvatures. 
(Chinese. English summary) 92i:53052 

Maeda, Sadahiro (with Udagawa, Seiichi) Surfaces with constant Kaehler angle all of whose 
geodesics are circles in a complex space form. 92a:53077 

— Second fundamental form of a real hypersurface in a complex projective space. 
92m:53095 

— see also Kimura, Makoto, 92m:53094 

Magid, Martin A. (with Ryan, Patrick J.) Affine 3-spheres with constant affine curvature. 
92f:53063 

Martinez, Antonio Totally complex submanifolds of quaternionic projective space. 
92i:53053 

Mashimo, Katsuya (with Tasaki, Hiroyuki) Stability of maximal tori in compact Lie 
groups. 92f:53064 

Matsumoto, Koji (with Mihai, Ion; Rosca, Radu) Certain real hypersurfaces of a locally 
conformal Kahler space form. 92m:53096 

Mihai, Ion see Matsumoto, Koji; et al., 92m:53096 

Nagatomo, Yasuyuki Finite type hypersurfaces of a sphere. 92g:53053 

Nakagawa, Hisao see Ki, U-Hang, 92k:53100 and 92k:53101 

Narain, Dhruwa see Upadhyay, S. K., 92e:53088 

Neher, Erhard see Dorfmeister, Josef, 92h:53067 

Niebergall, Ross Dupin hypersurfaces in R°. I. 92k:53106 

Nivas, R. (with Ahmad, Suab) Submanifolds of codimension r of a H-structure manifold. 
92¢e:53086 

Noakes, J. Lyle Generalised umbilics on embedded spheres. 92f:53065 

Noronha, Maria Helena Nonnegatively curved submanifolds in codimension two. 
92j:53025 

Okumura, Masafumi see Ledger, Arthur J., 92e:53085 

(Oliveira, Gilvan) see Dajczer, Marcos, 92i:53049 

Opozda, Barbara see Dillen, Franki; et al., 92a:53074 

(Ostianu, N. M.) see Yano, Kentaro, 92k:53109 

Pak, Jin Suk see Ki, U-Hang, 92e:53084 

Pérez, Juan de Dios Axioms of submanifolds in quaternion geometry. (Spanish. English 
summary) (see 92b:00044) 





53C40 


— (with Santos, F.G.) On real hypersurfaces with harmonic curvature of a quaternionic 
projective space. 92b:53096 

Petrovic, Mira see Chen, Bang-Yen; et al., 92h:53065 

Petrovi¢-TorgaSev, Miroslava Curvature conditions on hypersurfaces of revolution. (see 
91e:53002) 

Piccinni, Paolo see Chen, Bang-Yen; et al., 92e:53074 

Podesta, Fabio Affine Kahler hypersurfaces satisfying certain conditions on the curvature 
tensor. 92a:53078 

Prvanovi¢, Mileva On some hypersurfaces of a recurrent Riemannian space. 92b:53097 

Pyo, Yong-Soo (with Shin, Yong Tae) On the total curvature of surfaces immersed in 
Euclidean spaces of dimension higher than four. 92g:53054 

— see also Kim, Jong Joo, 92c:53035 

Ripoll, Jaime B. On hypersurfaces of Lie groups. 92a:53079 

Robertson, S. A. Parallel hypersurfaces. (see 92b:53001) 

Rodriguez, Lucio L. see Dajczer, Marcos, 924:53048 

Rosca, Radu see Matsumoto, Koji; et al., 92m:53096 

Ryan, Patrick J. see Magid, Martin A., 92£:53063 

Santos, F.G. see Pérez, Juan de Dios, 92b:53096 

Sharma, Ramesh see Duggal, K. L., 92m:53093 

Shin, Yong Ho see Je, Hai Gon; et al., 92b:53094 

Shin, Yong Tae see Pyo, Yong-Soo, 92g:53054 

Simon, Udo see Vrancken, Luc; et al., 92m:53099 

Singh, K. D. (with Singh, Y. N.) Hypersurfaces of an [F(2,e,), G]-manifold. 92£:53066 

Singh, Y. N. see Singh, K. D., 92£:53066 

Sinha, B. B. (with Yadav, R. N.) Some results on semi-invariant submanifolds of a certain 
class of almost contact manifolds. 92d:53052 

Song, Hong Zao see Chen, Bang-Yen; et al., 92c:53033 

Suh, Young Jin On type number of real hypersurfaces in P,(C). 92g:53055 

— see also Ki, U-Hang, 92:53062 

Sun, Zhen Za (with Li, Hai Zhong) Sasaki submanifolds of Kaehler manifolds. (Chinese. 
English summary) 92m:53097 

Tan, Sin Leng see Kon, S. H., 92g:53051 

Tang, Zi Zhou Isoparametric hypersurfaces with four distinct principal curvatures. 
92m:53098 

Tasaki, Hiroyuki see Mashimo, Katsuya, 92f:53064 

Tazawa, Yoshihiko see Chen, Bang-Yen; et al., 92e:53075 

Thorbergsson, Gudlaugur Isoparametric foliations and their buildings. 92d:53053 

(Tojeiro, Rui) see Dajczer, Marcos, 92i:53049 

Trenéevski, Kostadin On some consequences of the generalized Gauss-Bonnet theorem. 
(Macedonian summary) 92k:53107 

Tricerri, Franco (with Vanhecke, Lieven) Cartan hypersurfaces and reflections. 92¢:53087 

Udagawa, Seiichi see Maeda, Sadahiro, 92a:53077 

Upadhyay, S. K. (with Narain, Dhruwa) (/, g, u, v,A)-structure submanifold of a Kahler 
manifold of codimension 2. 92e:53088 

Urbano, Francisco Totally real submanifolds. 92e:53089 

Urbas, John I. E. On the expansion of starshaped hypersurfaces by symmetric functions of 
their principal curvatures. 92¢:53037 

Vanhecke, Lieven see Tricerri, Franco, 92e:53087 

Verstraelen, Leopold see Dillen, Franki; et al., 92a:53074 and 92b:53087 

Viachos, Theodore see Hasanis, Thomas, 92b:53093 and 92e:53081 

Vrancken, Luc (with Li, An Min; Simon, Udo) Affine spheres with constant affine sectional 
curvature. 92m:53099 

— see also Dillen, Franki; et al., 92a:53074 and 92b:53087 

Wang, You Ning Surfaces with parallel mean curvature vectors in space forms. (Chinese) 
92g:53056 

Wa, Bao Qiang Hypersurface with constant mean curvature in H"*+!. 92k:53108 

Wau, Bing Ye High-order standard immersions of spheres and submanifolds of finite type. 
(Chinese. English summary) 92m:53100 

Yadav, R. N. see Sinha, B. B., 92d:53052 

Yano, Kentaro (with Kon, Masahiro) * CR. yroo6pa3uA B KeJIeEpOBOM H CaCaKHeBOM 
Mxoroo6pa3uax. (Russian) [CR submanifolds of Kahlerian and Sasakian manifolds] 
92k:53109 

Yoo, In-Yeong see Ki, U-Hang; et al., 92e:53083 

Zafindratafa, G. The local structure of a 2-codimensional conformally fiat submanifold in 
an Euclidean space R"*?. 92c:53038 

Zeghib, A. Laminations et hypersurfaces géodésiques des variétés hyperboliques. [Geodesic 
laminations and hypersurfaces of hyperbolic manifolds] 92b:53098 

Items with secondary classifications in 53C40 

Abel, E. (with Roomeldi, R.; Tuulmet-s, L.) Investigation of submanifolds in the metrized 
projective spaces by REDUCE. (Russian summary) 92h:53002 

Aiyama, Reiko On complete space-like surfaces with constant mean curvature in a 
Lorentzian 3-space form. 92g:53064 

Al-Ageel, Adnan S. H. Submanifolds of a differentiable manifold with an F(2q + 3, 1)- 
structure. (Arabic summary) 92m:53051 

Amur, Krishna (with Venkataramana, R. S.) On a foliated and parametric minimal 
hypersurface in Euclidean space. 92i:53009 

Bai, Zheng Guo Killing tensor fields on Riemannian manifolds. (Chinese. English summary) 
924:53034 

Baldin, Yurike Y. (with Noronha, Maria Helena) Codimension two product submanifolds 
with nonnegative curvature. 92d:53054 

Bejan, Cornelia-Livia CR-submanifolds of hyperbolic almost Hermitian manifolds. 
92b:53036 

Beltagy, M. Isometric immersions of complete Riemannian manifolds into hyperbolic 
space. 92b:53099 

Bryant, Robert L. Some remarks on the geometry of austere manifolds. 92k:53112 

Bucki, Andrzej Semi-invariant submanifolds of almost r-paracontact Riemannian 
manifolds. 92f:53031 

Chai, Y. D. A geometric inequality for certain types of compact sets in R". 92m:53117 

Chen, Bang-Yen 3-type surfaces in S?. 92a:53052 





DIFFERENTIAL GEOMETRY 


1992 898 


— Local rigidity theorems of 2-type hypersurfaces in a hypersphere. 92f:53021 

Cheng, Qing Ming (with Sun, Hua Fei) Minimal hypersurfaces in a sphere. (Chinese. 
English summary) 92¢:53090 

Chinea, Domingo (with Perestelo, P.S.) Invariant submanifolds of a trans-Sasakian 
manifold. 92g:53025 

Choi, Hyeong In (with Treibergs, Andrejs) Gauss maps of spacelike constant mean 
curvature hypersurfaces of Minkowski space. 92¢:58051 

Deshmukh, Sharief Totally real submanifolds of S®. 92e:53092 

— Contact metric hypersurfaces of C?. 92b:53038 

— Almost complex surfaces in the nearly Kaehler S®. 92k:53056 

Dillen, Franki (with Vrancken, Luc) Canonical affine connection on complex hypersurfaces 
of the complex affine space. 92c:53014 

Dimitrié, Ivko 1-type submanifolds of the complex projective space. 92j:53026 

Dragomir, Sorin Generalized Hopf manifolds, locally conformal Kaehler structures and real 
hypersurfaces. 92k:53127 

Ezin, Jean-Pierre (with Rigoli, Marco; Salavessa, Isabel M. C.) Spherical-type hypersur- 
faces in a Riemannian manifold. 924:53055 

Gonzalez-Davila, José Carmelo (with Gonzalez-Davila, M. C.) Totally geodesic submani- 
folds in g-symmetric spaces. (Spanish. English summary) (see 92b:00044) 

Gonzalez-Davila, M.C. see Gonzalez-Davila, José Carmelo, (92b:00044) 

Gray, Alfred * Tubes. 92d:53002 

Gudmundsson, Sigmundur On the geometry of certain harmonic two-spheres in complex 
Grassmannians. (Italian summary) 92h:58051 

Hasanis, Thomas On the Ricci metric of a hypersurface. 92i:53033 

Jeong, Jang Chun (with Oh, Ge Hwan) Submanifolds of a Sasakian manifold with 
vanishing contact conformal curvature tensor field. 92e:53062 

Ji, Yong Qiang Compact minimal submanifolds in the sphere S"*?(c). (Chinese. English 
summary) 92b:53102 

Ki, U-Hang (with Kim, He-Jin; Nakagawa, Hisao) On space-like hypersurfaces with 
constant mean curvature of a Lorentz space form. 92¢:53097 

Kim, He-Jin see Ki, U-Hang; et al., 92e:53097 

Kim, Young Ho Characterization of generalized surfaces of revolution. 92:53009 

Kobayashi, Minoru Contact generic submanifolds of a certain class of almost contact 
manifolds. 92a:53047 

Li, An Min Calabi conjecture on hyperbolic affine hyperspheres. II. 92e:53015 

Linnér, Anders Curve-straightening in closed Euclidean submanifolds. 92£:58037 

Lumiste, Ulo (with Riives, K.) Three-dimensional semi-symmetric submanifolds with 
axial, planar or spatial points in Euclidean spaces. 92¢:53011 

— Classification of three-dimensional semi-symmetric submanifolds in Euclidean spaces. 
92¢:53012 

— Three-dimensional submanifolds with parallel third fundamental form in Euclidean 
spaces. (Russian summary) 92¢:53013 

Marchiafava, Stefano On the local geometry of quaternionic Kahler manifolds. (Italian. 
English summary) 92k:53034 

Mizuhara, Akira Homogeneous hypersurfaces in Euclidean spaces. A theorem of T. Nagano 
and T. Takahashi. 92a:53071 

Nagano, Tadashi (with Sumi, Makiko) The spheres in symmetric spaces. 92e:53071 

Nakagawa, Hisao see Ki, U-Hang; et al., 92e:53097 

Nicolescu, Liviu (with Pripoae, Gabriel) Hypersurfaces de type semi-symétrique dans R"*!. 
[Semisymmetric hypersurfaces in R’+'] 92a:53092 

Noronha, Maria Helena see Baldin, Yuriko Y., 92d:53054 

Ogata, Takashi Curvature pinching theorem for minimal surfaces with constant Kaehler 
angle in complex projective spaces. 92f:53072 

Oh, Ge Hwan see Jeong, Jang Chun, 92e:53062 

Ou, Ye Lin Two notes on the tangent sphere bundle of a surface. (Chinese. English 
summary) 92k:53072 

Park, Kwang Sung Transnormal systems on K P?. 

Perestelo, P.S. see Chinea, Domingo, 92g:53025 

Pripoae, Gabriel see Nicolescu, Liviu, 92a:53092 

Rigoli, Marco (with Tribuzy, Renato) The Gauss map for Kahlerian submanifolds of R". 
92j:53032 

— see also Ezin, Jean-Pierre; et al., 92d:53055 

Riives, K. see Lumiste, Ulo, 92c:53011 

Rochowski, Marek A scheme of generating canonical frames in normal bundles of 
immersed manifolds in Euclidean spaces. 92d:53021 

— Parallel cross sections and canonical frames in normal bundles of immersed manifolds in 
Euclidean space. 92d:53022 

Rodionov, E.D. Homogeneous Riemannian almost P-manifolds. (Russian) 92b:53076 


Romani, Giuliano N -symmetric submanifolds. (Italian summary) 92e:53072 

Roomeldi, R. see Abel, E.; et al., 92h:53002 

Salavessa, Isabel M. C. see Ezin, Jean-Pierre; et al., 92d:53055 

Sumi, Makiko see Nagano, Tadashi, 92e:53071 

Sun, Hua Fei see Cheng, Qing Ming; et al., 92e:53090 

Takeuchi, Masaru Proper Dupin hypersurfaces generated by symmetric submanifolds. 
92b:53103 

Taniguchi, Yoshiharu The method of moving frames applied to Kahler submanifolds of 
complex space forms. 92d:53060 

Tarrio, Ana D. Semi-invariant submanifolds of an almost product manifold. 92g:53027 

Treibergs, Andrejs see Choi, Hyeong In, 92e:58051 

Tribuzy, Renato see Rigoli, Marco, 92j:53032 

Tripathi, Mukut Mani Nonexistence of proper semi-invariant submanifolds of an almost r- 
paracontact Riemannian manifold of P-Sasakian type. 92f:53054 

Trofimov, V. V. The holonomy group and generalized Maslov classes of submanifolds in 
spaces with affine connection. (Russian) 92j:57016 

Tuulmet-s, L. see Abel, E.; et al., 92h:53002 

Vaisman, Izu The Maslov class in a Riemannian phase space. 92k:58089 

Vanhecke, Lieven Jacobi vector fields and some aspects of the geometry in normal 
neighbourhoods. 92b:53063 

Venkataramana, R.S. see Amur, Krishna, 92i:53009 





899 1992 


Vrancken, Luc see Dillen, Franki, 92c:53014 

Wang, Yin He Compact submanifolds with constant mean curvature in R"*?. (Chinese. 
English summary) 92k:53012 

Weiner, Joel L. Flat tori in S? and their Gauss maps. 92d:53057 

Wa, Chuan Xi Some results on stable harmonic maps. (Chinese) 92d:58047 

Xia, Chang Yu Minimal submanifolds with bounded second fundamental form. 92k:53120 

Yang, Kichoon The Chern numbers of projective algebraic hypersurfaces. 92k:53128 


53C42 Immersions (minimal, prescribed curvature, tight, etc.) 
[see also 49Q05, 49Q10, 53A10, 57R40, 57R42] 


Alexander, Stephanie B. (with Currier, Robert J.) Non-negatively curved ends of Euclidean 
hypersurfaces. 92h:53071 

Baldin, Yuriko Y. (with Noronha, Maria Helena) Codimension two product submanifolds 
with nonnegative curvature. 92d:53054 

Bangert, V. (with Schroeder, Viktor) Existence of flat tori in analytic manifolds of 
nonpositive curvature. 92k:53110 

Barros, Manuel Several problems related with the spectral geometry of submanifolds in the 
sphere. 92i:53054 

Beltagy, M. Isometric immersions of complete Riemannian manifolds into hyperbolic 
space. 92b:53699 

— Isometric immersion into manifolds without focal points. 92m:53101 

— Isometric immersions of complete Riemannian manifolds into spherical space. 
92k:53111 

Bobenko, A. I. All constant mean curvature tori in R?, $3, H? in terms of theta-functions. 
92h:53072 

Bolton, J. (with Woodward, L.M.) The Riemannian geometry of minimal immersions of 
S? into CP". 92i:53055 

Borisenko, A. A. (with Ushakov, V.G.) Isometric immersion of strongly parabolic metrics 
in a class of strongly parabolic surfaces. (Russian) 92h:53073 

Brada, Claude (with Niglio, Louis) Sous-variétés compactes connexes minimales de 
type 1 des grassmanniennes. (English summary) [Minimal compact connected type-1 
submanifolds of Grassmannian manifolds] 92a:53080 

Bryant, Robert L. Some remarks on the geometry of austere manifolds. 92k:53112 

do Carmo, Manfredo Perdigio The index of a minimal surface. (see 92h:00023) 

Chen, Bang-Yen (with Morvan, Jean-Marie) Sur la stabilité des sous-variétés minimales 
isotropes d’une variété kahlérienne. (English summary) [Stability of isotropic minimal 
submanifolds of a Kahler manifold] 92b:53100 

— Linearly independent, orthogonal and equivariant immersions. 92h:53074 

— (with Ishikawa, Susumu) Biharmonic surfaces in pseudo-Euclidean spaces. 92k:53113 

Cheng, Qing Ming (with Sun, Hua Fei) Minimal hypersurfaces in a sphere. (Chinese. 
English summary) 92e:53090 

— see also Yang, Hong Cang; et al., 92m:53107 

Coghlan, Leslie Some remarks on tight hypersurfaces. 92k:53114 

Currier, Robert J. see Alexander, Stephanie B., 92h:53071 

Curtin, Eugene Manifolds with intermediate tautness. 92f:53067 

Dajezer, Marcos (with Rodriguez, Lucio L.) Complete real Kahler minimal submanifolds. 
92g:53057 

Dao Trong Thi Lagrangian calibrations on Hermitian manifolds. 92c:53039 

Dekster, Boris V. Bodies of constant width in Riemannian manifolds and spaces of constant 
curvature. 92e:53091 

Deshmukh, Sharief Totally real submanifolds of S®. 92e:53092 

Dillen, Franki (with Vrancken, Luc) Surfaces in spheres and submanifolds of the nearly 
Kaehler 6-sphere. 92i:53056 

— Ruled submanifolds of finite type. 92:53068 

Dimitri¢, Ivko 1-type submanifolds of the complex projective space. 92j:53026 

Ecker, Klaus (with Huisken, Gerhard) Parabolic methods for the construction of spacelike 
slices of prescribed mean curvature in cosmological spacetimes. 92g:53058 

Ejiri, Norio Two applications of the unit normal bundle of a minimal surface in R”. 
92a:53081 

Erdogan, Mehmet (with Itoh, Takehiro) Compact minimal surfaces in S®. (Turkish 
summary) 92f:53069 

Ezin, Jean-Pierre (with Rigoli, Marco; Salavessa, Isabel M. C.) Spherical-type hypersur- 
faces in a Riemannian manifold. 924:53055 

Galloway, Gregory J. (with Rodriguez, Lucio L.) Intersections of minimal submanifolds. 
92:53070 

Gao, Mei Ling Harmonic Gauss mappings and relatively affine Gauss mappings. (Chinese. 
English summary) 92e:53093 

Hass, Joel Intersections of least area surfaces. 92j:53027 

Heintze, E. (with Olmos, Carlos; Thorbergsson, Gudlaugur) Submanifolds with constant 
principal curvatures and normal holonomy groups. 92¢:53094 

Herb, Thomas The Darboux system and embedding problems in three-dimensional 
Riemannian spaces. 92k:53115 

Houh, Chorng Shi Null 2-type surfaces in E} and in S}. 92h:53075 

Hsii, I Jung A global pinching theorem for compact minimal surfaces in S*. 92¢:53040 

Hughston, L. P. (with Shaw, W. T.) Spinor parametrizations of minimal surfaces. 
92a:53082 

Huisken, Gerhard see Ecker, Klaus, 92g:53058 

Ishikawa, Susumu see Chen, Bang-Yen; et al., 92k:53113 

Itoh, Takehiro see Erdogan, Mehmet, 92£:53069 

Jagy, William C. Minimal hypersurfaces foliated by spheres. 92b:53101 

Ji, Yong Qiang Compact minimal submanifolds in the sphere S"*?(c). (Chinese. English 
summary) 92b:53102 

Johnson, Gene Douglas An intrinsic characterization of a class of minimal surfaces in 
constant curvature manifolds. 92c:53041 

Korevaar, Nicholas J. (with Kusner, Rob; Meeks, William H., III; Solomon, Bruce) 
Constant mean curvature surfaces in hyperbolic space. 92k:53116 

Kusner, Rob see Korevaar, Nicholas J.; et al., 92k:53116 

Leung, Pui Fai Minimal submanifolds in a sphere. II. 92i:53057 


53C Global differential geometry 


53C42 


Meeks, William H., III see Korevaar, Nicholas J.; et al., 92k:53116 

Miyaoka, Reiko (with Ozawa, Tetsuya) Construction of taut embeddings and Cecil-Ryan 
conjecture. 92f:53071 

Moore, John Douglas Morse theory of minimal two-spheres and curvature of Riemannian 
manifolds. 924:53056 

Morvan, Jean-Marie see Chen, Bang-Yen; et al., 92b:53100 

Murdoch, Timothy A. Twisted calibrations. 92c:53042 

Musso, Emilio Willmore surfaces in the four-sphere. 92g:53059 

Niglio, Louis see Brada, Claude, 92a:53080 

No..«azu, Katsumi (with Pinkall, Ulrich; Podesta, Fabio) On the geometry of affine Kahler 
immersions. 92a:53083 

— (with Podesta, Fabio) On the Cartan-Norden theorem for affine Kahler immersions. 
92e:53095 

Noronha, Maria Helena see Baldin, Yuriko Y., 92d:53054 

Ogata, Takashi Curvature pinching theorem for minimal surfaces with constant Kaehler 
angle in complex projective spaces. 92f:53072 

Okhota, V.I. On the area of spherical mappings. (Russian) (see 92i:00016) 

Olmos, Carlos see Heintze, E.; et al., 92e:53094 

Ozawa, Tetsuya see Miyaoka, Reiko, 92f:53071 

Ozsvath, Istvin Embedding problem. II. 92m:53102 

Palmer, Bennett Surfaces in Lorentzian hyperbolic space. 92j:53028 

— The conformal Gauss map and the stability of Willmore surfaces. 92m:53103 

Pan, Sheng Liang On isometric minimal immersions into H". I. (Chinese summary) 
92g:53060 

Pinkall, Ulrich see Nomizu, Katsumi; et al., 92a:53083 

Podesta, Fabio see Nomizu, Katsumi; et al., 92a:53083 and 92e:53095 

Rigoli, Marco see Ezin, Jean-Pierre; et al., 92d:53055 

Rodriguez, Lucio L. see Galloway, Gregory J., 92f:53070 and Dajczer, Marcos, 92g:53057 

Ru, Min On the Gauss map of minimal surfaces immersed in R". 92k:53117 

Salavessa, Isabel M.C. see Ezin, Jean-Pierre; et al., 924:53055 

Sanchez, Cristidn Extrinsic k-symmetric submanifolds are tight. 92h:53076 

Schroeder, Viktor see Bangert, V., 92k:53110 

Sharipov, R. A. Minimal tori in a five-dimensional sphere in C>. (Russian. English 
summary) 92k:53118 

Shaw, W.T. see Hughston, L. P., 92a:53082 

Shen, Yi Bing Curvature pinching for three-dimensional minimal submanifolds in a sphere. 
92i:53058 

Solomon, Bruce see Korevaar, Nicholas J.; et al., 92k:53116 

Sterling, Ivan Soliton geometry, Kac-Moody algebras and the Yang-Baxter equations. 
92m:53104 

Suh, Young Jin (with Takagi, Ryoichi) A rigidity for real hypersurfaces in a complex 
projective space. 92i:53059 

Sun, Hua Fei Minimal submanifolds in a locally symmetric and conformally flat Riemann- 
ian manifold. (Chinese. English summary) 92k:53119 

— see also Cheng, Qing Ming; et al., 92e:53090 

Takagi, Ryoichi see Suh, Young Jin, 92i:53059 

Takeuchi, Masaru Proper Dupin hypersurfaces generated by symmetric submanifolds. 
92b:53103 

Thorbergsson, Gudlaugur Tight analytic surfaces. 92e:53096 

— see also Heintze, E.; et al., 92e:53094 

Ushakov, V.G. see Borisenko, A. A., 92h:53073 

Van de Woestijne, Ignace Minimal surfaces of the 3-dimensional Minkowski space. 
92a:53084 

Voss, Konrad Variation of curvature integrals. 92m:53105 

Vrancken, Luc see Dillen, Franki, 92i:53056 

Weiner, Joel L. The Gauss map of flat tori in S>. 92i:53060 

— Flat tori in S? and their Gauss maps. 92d:53057 

Woodward, L. M. see Bolton, J., 92i:53055 

Wu, Bingle Isoparametric submanifolds of hyperbolic spaces. 92m:53106 

Wa, Fa En Construction of standard isometric minimal immersions of spheres into spheres. 
(Chinese) 92a:53085 

Xia, Chang Yu A pinching theorem for minimal submanifolds in a sphere. 92£:53073 

— Minimal submanifolds with bounded second fundamental form. 92k:53120 

Xu, Hong Wei A pinching constant of Simons’ type and the problem of isometric immer- 
sion. (Chinese) 92h:53077 

Yang, Hong Cang (with Cheng, Qing Ming) A note on the pinching constant of minimal 
hypersurfaces with constant scalar curvature in the unit sphere. (Chinese) 

— (with Cheng, Qing Ming) A note on the pinching constant of minimal hypersurfaces with 
constant scalar curvature in the unit sphere. 92m:53107 

Zhang, Yuan Zheng Eigenvalues of compact minimal submanifolds in a complex projective 
space. (Chinese. English summary) 92g:53061 


Items with secondary classifications in 53C42 


Agaoka, Yoshio Generalized Gauss equations. 924:53045 

de Almeida, S.C. (with Brito, F.G. B.) Closed hypersurfaces of S* with constant mean 
curvature and constant scalar curvature. 92k:53095 

Amano, Kazuo Global isometric embedding of a Riemannian 2-manifold with nonnegative 
curvature into a Euclidean 3-space. 92k:53004 

(Antonucci, Mauricio) see Dajczer, Marcos, 92i:53049 

Brito, F.G. B. see de Almeida, S. C., 92k:53095 

Buchner, K. see Gerold, A., 92k:53007 

Bunke, Ulrich Upper bounds of small eigenvalues of the Dirac operator and isometric 
immersions. 92h:58195 

Chen, Bang-Yen (with Petrovic, Mira) On spectral decomposition of immersions of finite 
type. 92h:53065 

Chen, Jian Hua Minimal submanifolds of a conformally flat space. (Chinese. English 
summary) 92g:53048 

Cheng, Qing Ming Complete space-like hypersurfaces of a de Sitter space with constant 
mean curvature. 92b:53107 





53C42 


Coghlan, Leslie (with Itokawa, Yoe; Kosecki, Roman) On the mean curvature estimates for 
bounded submanifolds. 92g:53031 

Dajczer, Marcos * Submanifolds and isometric immersions. 92i:53049 

Deshmukh, Sharief Totally real submanifolds in a 6-sphere. 92f:53059 

— see also El Hadi, Kamal, 92£:53061 

Dimitri¢, Ivko Quadric representation of a submanifold. 92¢:53034 

Dodson, C. T. J. Curvature and global properties. 92a:53058 

El Hadi, Kamal (with Deshmukh, Sharief) On totally real three-dimensional submanifolds 
of S®. 92f:53061 

Gauchman, Hillel Rigidity theorems for submanifolds of a sphere with parallel mean 
curvature vector. 92b:53090 

Gerold, A. (with Buchner, K.) Solitons and isometric immersions. 92k:53007 

Hasanis, Thomas (with Vlachos, Theodore) Coordinate finite-type submanifolds. 
92b:53093 

Hass, Joel Genus two Heegaard splittings. 92e:57027 

Hsiang, Wu-Yi Global differential geometry of submanifolds. 92e:53082 

Huang, Wu Hsiung Superharmonicity of curvatures for surfaces of constant mean 
curvature. 92k:53017 

Ishihara, Téru Complete nonorientable minimal surfaces in R?. 92m:53013 

Itokawa, Yoe see Coghlan, Leslie; et al., 92g:53031 

Ivanov, A.O. Measure forms and new examples of stable and globally minimal surfaces. 
(Russian) 92d:58040 

Kosecki, Roman see Coghlan, Leslie; et al., 92g:53031 

Kossowski, Marek The asymptotic blow-up of a surface in Euclidean 3-space. 92k:53008 

Lawlor, Gary R. A sufficient criterion for a cone to be area-minimizing. 92d:49079 

Lee, Chong Hee The relation between the exterior radius and the mean curvature of 
bounded immersion. 92b:53058 

Lee, Jeffrey M. The gaps in the spectrum of the Laplace-Beltrami operator. 92f:58186 

Le Hong Van Globally minimal homogeneous spaces in regular orbits of the adjoint 
representation of classical Lie groups. (Russian) 92j:53023 

— Globally minimal homogeneous subspaces in compact homogeneous symplectic spaces. 
92k:53085 

Leung, Pui Fai On the consecutive eigenvalues of the Laplacian of a compact minimal 
submanifold in a sphere. 924:58212 

(Lima-Filho, Paulo) see Dajczer, Marcos, 92i:53049 

Lin, Fang-Hua Estimates for surfaces which are stationary for an elliptic parametric 
integral. 92e:58047 

Martinez, Antonio (with Milan, F.) Affine isoperimetric problems and surfaces with 
constant affine mean curvature. 92m:53019 

Milan, F. see Martinez, Antonio, 92m:53019 

Milnor, Tilla Klotz Entire timelike minimal surfaces in E>'. 92b:53007 

— Associate harmonic immersions in 3-space. 92b:58051 

Morgan, Frank The cone over the Clifford torus in R* is ®-minimizing. 92b:49078 

Muté, Yosio Geodesics in minimal immersions of S? into S74. 92b:53062 

Niebergall, Ross Dupin hypersurfaces in R°. 1. 92k:53106 

(Oliveira, Gilvan) see Dajczer, Marcos, 92i:53049 

Park, Joon Sik (with Urakawa, Hajime) Classification of harmonic mappings of constant 
energy density into spheres. 92b:58052 

Petrovic, Mira see Chen, Bang-Yen; et al., 92h:53065 

Rey, Olivier Heat flow for the equation of surfaces with prescribed mean curvature. 
92k:58263 

Robertson, S. A. Parallel hypersurfaces. (see 92b:53001) 

Rosset, Edi An existence result for minimal spheres in 
summary) 92a:57039 

Rozendorn, E. R. Surfaces of negative curvature. (Russian) 92a:53087 

Ru, Min On the Gauss map of minimal surfaces with finite total curvature. 92k:53023 

Sakaki, Makoto Stability of surfaces with constant mean curvature in 3-dimensional 
Riemannian manifolds. 92c:53004 

— Upper bounds for the index of minimal surfaces. 92c:58018 

Sheng, Yi Bing Eigenvalue inequalities for minimal and Kahler submanifolds. (Chinese) 
92m:58145 

Tapia, Victor The role of minimal surfaces in the physics of elementary particles. (see 
92b:00033) 

Tod, K. Paul Looking for marginally trapped surfaces. 92b:53121 

(Tojeiro, Rui) see Dajczer, Marcos, 92i:53049 

Tomi, Friedrich Plateau’s problem for minimal surfaces with a catenoidal end. 92m:53008 

Tuzhilin, Aleksei Avgustinovich Morse-type indices for two-dimensional minimal surfaces 
in R? and H?. (Russian) 92k:58057 

Urakawa, Hajime see Park, Joon Sik, 92b:58052 

Vanderwinden, A.-J. Totally geodesic spheres in complex Grassmannians and unitary 
groups. 92h:55015 

Viachos, Theodore see Hasanis, Thomas, 92b:53093 

Wang, Hong* Some global pinching theorems for minimal submanifolds of a complex 
Projective space. (Chinese) 92g:53034 

Wang, Wen Tao Stability of hypersurfaces with constant mean curvature. (Chinese) 
92£:58040 

Wente, Henry C. A note on the stability theorem of J. L. Barbosa and M. Do Carmo for 
closed surfaces of constant mean curvature. 92g:53010 

White, Brian Cabell The space of minimal submanifolds for varying Riemannian metrics. 
92i:58028 

— Existence of smooth embedded surfaces of prescribed genus that minimize parametric 
even elliptic functionals on 3-manifolds. 92e:58048 

Wu, Chuan Xi A note on stable harmonic mappings. (Chinese. English summary) 
92k:58068 

Yang, Kichoon Minimal immersions of punctured compact Riemann surfaces in R°. 
92g:53011 

— Local Hermitian geometry of complex surfaces in P>: totally parabolic surfaces. 
92k:53129 

Ye, Rugang On the existence of area-minimizing surfaces with free boundary. 92g:58023 





ifolds with boundary. (Italian 


DIFFERENTIAL GEOMETRY 1992 900 


53C45 Global surface theory (convex surfaces a la A. D. 
Aleksandrov) 


Aleksandrov, V. A. An estimate for the deformation of a strictly convex domain that 
depends on the change of the relative metric of its boundary. (Russian) 92g:53062 

Allaev, G. M. (with Mikhailovs’kii, V. 1.) Second-order infinitesimal bendings of convex 
surfaces of revolution of class C! along the edge of which conical sleevelike constraints 
are imposed. (Russian. English summary) 92k:53121 

Babenko, I. K. Volume rigidity of two-dimensional manifolds. (Russian) 92a:53086 

Béhme, R. Surfaces of constant Gauss curvature and of arbitrary genus. (French summary) 
924:53058 

Geymonat, Giuseppe (with Sanchez-Palencia, Enrique) Remarques sur la rigidité in- 
finitésimale de certaines surfaces elliptiques non réguliéres, non convexes et applications. 
(English summary) [Remarks on the infinitesimal rigidity of some elliptic nonsmooth and 
nonconvex surfaces. Applications] 92g:53063 

Mikhailovs’kii, V.I. see Allaev, G. M., 92k:53121 

Reshetnyak, Yu.G. Two-dimensional manifolds of bounded curvature. (Russian) 
92b:53104 

Rozendorn, E. R. Surfaces of negative curvature. (Russian) 92a:53087 

Sanchez-Palencia, Enrique see Geymonat, Giuseppe, 92g:53063 

Tso, Kaising Convex hypersurfaces with prescribed Gauss-Kronecker curvature. 92j:53029 

Usov, V. V. Swerve and curvature of a curve on a convex surface. (Russian) 92b:53105 

— Conformal mappings of manifolds of bounded curvature that preserve the curvature of 
sets. (Russian) 92b:53106 


Items with secondary classifications in 53C45 

Alexander, Stephanie B. (with Currier, Robert J.) Non-negatively curved hypersurfaces in 
hyperbolic space. 92e:53073 

Currier, Robert J. see Alexander, Stephanie B., 92e:53073 

Delanoé, Philippe Classical solvability in dimension two of the second boundary-value 
problem associated with the Monge-Ampére operator. (French summary) 92g:35070 

Gage, Michael E. Deforming curves on convex surfaces to simple closed geodesics. 
92g:58021 

Kokarev, V. N. Conditionally minimal surfaces with respect to nonregular spheres. 
(Russian) 92a:53009 

Li, Peter (with Tam, Luen-Fai) Complete surfaces with finite total curvature. 92e:53051 

Martinez, Antonio (with Milan, F.) On the affine Bernstein problem. 92¢:53016 

Meeks, William H., III (with White, Brian Cabell) Minimal surfaces bounded by convex 
curves in parallel planes. 92e:53013 

Milan, F. see Martinez, Antonio, 92e:53016 

Rosenberg, Harold see Sa Earp, Ricardo, 92c:53003 

Sa Earp, Ricardo (with Rosenberg, Harold) Some structure theorems for complete constant 
mean curvature surfaces with boundary a convex curve. 92c:53003 

Shioya, Takashi The ideal boundaries of complete open surfaces. 92b:53050 

Tam, Luen-Fai see Li, Peter, 92e:53051 

White, Brian Cabell see Meeks, William H., III, 92e:53013 


53C50 Lorentz manifolds, manifolds with indefinite metrics 


Aiyama, Reiko On complete space-like surfaces with constant mean curvature in a 
Lorentzian 3-space form. 92g:53064 

Al-Areefi, S. M. see Elkholy, E. M., 92a:53088 

Alekseevskii, D. V. (with Putko, B. A.) On the completeness of left-invariant pseudo- 
Riemannian metrics on Lie groups [in Topological and geometric methods of analysis 
(Russian), 12-28, Voronezh. Gos. Univ., Voronezh, 1989; MR 91g:53066]. (see 
92b:58001) 

Allison, Dean Pseudoconvexity in Lorentzian doubly warped products. 92h:53078 

Aminova, A. V. K-spaces and the spaces V(K). (Russian) 92i:53061 

— Lie algebras of projective motions of the spaces V (0) of Lorentz signature. (Russian) 
92i:53062 

Beem, John K. Lorentzian distance and curvature. 92k:53122 

Cahen, M. (with Leroy, Jules; Parker, Monique; Tricerri, Franco; Vanhecke, Lieven) 
Lorentz manifolds modelled on a Lorentz symmetric space. 92j:53030 

Cheng, Qing Ming Complete space-like hypersurfaces of a de Sitter space with constant 
mean curvature. 92b:53107 

Coll, Bartolomé (with Morales, Juan Antonio) Symmetric frames on Lorentzian spaces. 
92i:53063 

Deszcz, Ryszard (with Verstraelen, Leopold; Vrancken, Luc) The symmetry of warped 
product space-times. 92f:53074 

Duggal, K.L. Affine conformal vector fields in semi-Riemannian manifolds. 92£:53075 

Dunn, K. A. (with Harriott, T. A.; Williams, Jeffrey George) Kink number in general 
relativity. 92j:53031 

Ehrlich, Paul E. (with Emch, Gérard G.) The conjugacy index and simple astigmatic 
focusing. 92m:53108 

Elkholy, E.M. (with Al-Areefi, S. M.) Minkowski space and its folding planes. (Arabic 
summary) 92a:53088 

Emch, Gérard G. see Ehrlich, Paul E., 92m:53108 

Gebarowski, Andrzej On a class of homogeneous conformally recurrent manifolds. 
92h:53079 

Harriott, T. A. see Dunn, K. A.; et al., 92j:53031 

Hilgert, Joachim (with Hofmann, Karl Heinrich) On the causal structure of homogeneous 
manifolds. 92a:53089 

Hofmann, Karl Heinrich see Hilgert, Joachim, 92a:53089 

Ki, U-Hang (with Kim, He-Jin; Nakagawa, Hisao) On space-like hypersurfaces with 
constant mean curvature of a Lorentz space form. 92¢:53097 

Kim, He-Jin see Ki, U-Hang; et al., 92e:53097 

Kim, Jin Hwan Homothetic maps of distinguishing space-times. 92a:53090 

Kishta, M. A. Sectional curvature results in a Lorentzian manifold. 92m:53109 

Kossowski, Marek The null blow-up of a surface in Minkowski 3-space and intersection in 
the spacelike Grassman [Grassmannian]. 92h:53080 





901 1992 


— Restrictions on zero mean curvature surfaces in Minkowski space. 92i:53064 

Lafuente Lépez, Javier Structure of the limit-point set of the geodesics of a compact 
orientable Lorentz surface. (Spanish. English summary) (see 92b:00044) 

Leroy, Jules see Cahen, M.; et al., 92j:53030 

Levichev, A. V. Causal structure of left-invariant Lorentz metrics on the group M2 @ R?. 
(Russian) 92d:53059 

Mealy, Jack Volume maximization in semi-Riemannian manifolds. 92k:53123 

Milhorat, Jean-Louis Connexions conformes sur un fibré vectoriel. (English summary) 
[Conformal connections on a vector bundle] 92a:53091 

Morales, Juan Antonio see Coll, Bartolomé, 92i:53063 

Nakagawa, Hisao see Ki, U-Hang; et al., 92e:53097 

Nicolescu, Liviu (with Pripoae, Gabriel) Hypersurfaces de type semi-symétrique dans R"*'. 
[Semisymmetric hypersurfaces in R"+'] 92a:53092 

Parker, Monique see Cahen, M.; et al., 92j:53030 

Pisani, L. Existence of geodesics for stationary Lorentz manifolds. (Italian summary) 
92k:53124 

Pripoae, Gabriel Propriétés de rigidité concernant la courbure des métriques indéfinies. 
(English summary) [Rigidity properties of the curvature of indefinite metrics] 92a:53093 

— see also Nicolescu, Liviu, 92a:53092 

Prvanovi¢, Mileva On a proper conformally recurrent manifold. (Serbo-Croatian summary) 
92g:53065 

Putko, B. A. see Alekseevskii, D. V., (92b:58001) 

Tarakanov, A. N. On certain isometric representations for multidimensional spaces of 
constant curvature. 92m:53110 

Tricerri, Franco see Cahen, M.; et al., 92j:53030 

Van de Woestijne, Ignace Semi-symmetric hypersurfaces. 92i:53065 

Vanhecke, Lieven see Cahen, M.,; et al., 92j:53030 

Verstraelen, Leopold see Deszcz, Ryszard; et al., 92f:53074 

Vrancken, Luc see Deszcz, Ryszard; et al., 92£:53074 

Wang, Ming? The classification of flat compact complete space-forms with metric of 
signature (2,2). 92b:53108 

Williams, Jeffrey George (with Zvengrowski, P.) Kink metrics in (2 + 1)-dimensional 
space-time. 92m:53111 

— see also Dunn, K. A.; et al., 92j:53031 

Yurtsever, Ulvi A simple proof of geodesical completeness for compact space-times of zero 
curvature. 92k:53125 

Zvengrowski, P. see Williams, Jeffrey George, 92m:53111 


Items with secondary classifications in 53C50 


Beem, John K. (with Parker, Phillip E.) The space of geodesics. 92d:58025 

(Birman, Graciela Silvia) see Wegner, Bernd, 92i:53020 

Chen, Bang-Yen (with Song, Hong Zao) Null 2-type surfaces in Minkowski space-time. 
92¢:53033 

— (with Ishikawa, Susumu) Biharmonic surfaces in pseudo-Euclidean spaces. 92k:53113 

Choi, Hyeong In (with Treibergs, Andrejs) Gauss maps of spacelike constant mean 
curvature hypersurfaces of Minkowski space. 92e:58051 

Deszcz, Ryszard Examples of four-dimensional Riemannian manifolds satisfying some 
pseudo-symmetry curvature conditions. 92b:53045 

Dhasmana, Puja see Nagaich, R. K., 92m:53114 

Duggal, K. L. (with Sharma, Ramesh) Hypersurfaces in a conformally flat space with 
curvature collineation. 92m:53093 

Ecker, Klaus (with Huisken, Gerhard) Parabolic methods for the construction of spacelike 
slices of prescribed mean curvature in cosmological spacetimes. 92g:53058 

Ehrlich, Paul E. Null cones and pseudo-Riemannian metrics. 92h:53023 

Ferrandez, Angel (with Lucas, Pascual) On surfaces in the 3-dimensional Lorentz- 
Minkowski space. 92k:53014 

Giannoni, Fabio (with Masiello, Antonio) On the existence of geodesics on stationary 
Lorentz manifolds with convex boundary. 92k:58053 

— Geodesics on nonstatic Lorentz manifolds of Reissner-Nordstrém type. 92k:58054 

Graham, C. Robin (with Lee, John M.) Einstein metrics with prescribed conformal infinity 
on the ball. 92i:53041 

Hall, G.S. Symmetries and geometry in general relativity. 92m:83040 

Houh, Chorng Shi Null 2-type surfaces in E} and in S}. 92h:53075 

Huisken, Gerhard see Ecker, Klaus, 92g:53058 

Ishikawa, Susumu see Chen, Bang-Yen; et al., 92k:53113 

Kerckhove, Michael The structure of Einstein spaces admitting conformal motions. 
92¢:53064 

Ki, U-Hang (with Kim, Hyang Sook; Nakagawa, Hisao) Complete maximal space-like 
hypersurfaces of an anti-de Sitter space. 92k:53101 

Kim, Hyang Sook see Ki, U-Hang; et al., 92k:53101 

Kim, Seon-Bu The focal Lorentzian comparison theorems for timelike geodesics. 92b:53060 

Klyachin, V. A. (with Miklyukov, V. M.) Maximal hypersurfaces of tubular type in 
Minkowski space. (Russian) 92k:53019 

Larsen, Jens Chr. On gradient dynamical system on semi-Riemannian manifolds. 
92e:58115 

Law, Peter R. Pseudo-Riemannian metrics and Hirzebruch signature. 92f:58006 

Lee, John M. see Graham, C. Robin, 92i:53041 

Lucas, Pascual see Ferrandez, Angel, 92k:53014 

Ma, Li Applications harmoniques équivariantes 4 valeurs dans une variété lorentzienne. 
(English summary) [On equivariant harmonic maps into a Lorentz manifold] 92a:58036 

Masiello, Antonio see Giannoni, Fabio, 92k:58053 

Miklyukov, V.M. see Klyachin, V. A., 92k:53019 

Milnor, Tilla Klotz Entire timelike minimal surfaces in E*'. 92b:53007 

Nagaich, R. K. (with Dhasmana, Puja) Characterization of indefinite-complex space form. 
92m:53114 

Nakagawa, Hisao see Ki, U-Hang; et al., 92k:53101 

Nomizu, Katsumi (with Podesta, Fabio) On the Cartan-Norden theorem for affine Kahler 
immersions. 92e:53095 

Oproiu, V. On the harmonic sections of cotangent bundles. 92b:53047 

Palmer, Bennett Surfaces in Lorentzian hyperbolic space. 92j:53028 


53C Global differential geometry 


53C55 


Parker, Phillip E. see Beem, John K., 92d:58025 

Perlick, Volker On Fermat’s principle in general relativity. I. The general case. 92k:53137 

Pimenov, R. I. Unified theories—an approach in terms of a semi-Riemannian geometry. 
(Russian) 

Podesta, Fabio see Nomizu, Katsumi, 92¢:53095 

Sharma, Ramesh see Duggal, K. L., 92m:53093 

Song, Hong Zao see Chen, Bang-Yen; et al., 92c:53033 

Treibergs, Andrejs see Choi, Hyeong In, 92e:58051 

Van de Woestijne, Ignace Minimal surfaces of the 3-dimensional Minkowski space. 
92a:53084 

Wegner, Bernd Comment on curves in 2- and 3-dimensional Minkowski space: “On L? and 
L>” (Elem. Math. 43 (1988), no. 2, 46-50; MR 89b:53040] by G. S. Birman. 92i:53020 


53C55 Hermitian and Kahlerian manifolds [see also 32Cxx] 


Chen, Bang-Yen (with Vanhecke, Lieven) Symplectic reflections and complex space forms. 
92k:53126 

Cho, Jong Taek see Kim, In Bae, 92a:53094 

De Bartolomeis, Paolo (with Migliorini, Luca; Nannicini, Antonella) Propriétés globales 
de l’espace de twisteurs. (English and Italian summaries) [Global properties of twistor 
spaces] 92m:53112 

Dhasmana, Puja see Nagaich, R. K., 92m:53114 

Dorfmeister, Josef (with Guan, Zhuang Dan) Fine structure of reductive pseudo-Kahlerian 
spaces. 92h:53081 

Dragomir, Sorin Generalized Hopf manifolds, locally conformal Kaehler structures and real 
hypersurfaces. 92k:53127 

Esenov, K. R. Properties of g lized-equidi Kahlerian spaces that admit special 
almost geodesic mappings of the second kind. (Russian) (see 92m:54001) 

Falcitelli, M. (with Farinola, A.) Some curvature properties of the locally conformal Kahler 
manifolds. (Italian summary) 92m:53113 

Farinola, A. see Falcitelli, M., 92m:53113 

Guan, Zhuang Dan see Dorfmeister, Josef, 92h:53081 

Kim, In Bae (with Cho, Jong Taek) Kaehlerian manifolds with a quasi-umbilical hypersur- 
face at each point. 92a:53094 

LeBrun, Claude Scalar-flat Kahler metrics on blown-up ruled surfaces. 92i:53066 

Li, Peter Erratum: “On the structure of complete Kahler manifolds with nonnegative 
curvature near infinity” [Invent. Math. 99 (1990), no. 3, 579-600; MR 91c:53063}. 
92b:53109 

Migliorini, Luca see De Bartolomeis, Paolo; et al., 92m:53112 

Nagaich, R. K. (with Dhasmana, Puja) Characterization of indefinite-complex space form. 
92m:53114 

Nannicini, Antonella see De Bartolomeis, Paolo; et al., 92m:53112 

Rigoli, Marco (with Tribuzy, Renato) The Gauss map for Kahlerian submanifolds of R”. 
92j:53032 

Simanca, Santiago R. Kahler metrics of constant scalar curvature on bundles over CP,,_;. 
92m:53115 

Takano, Kazuhiko On the integrability of a K-conformal Killing equation in a Kaehlerian 
manifold. 92f:53076 

Taniguchi, Yoshiharu The method of moving frames applied to Kahler submanifolds of 
complex space forms. 924:53060 

Tribuzy, Renato see Rigoli, Marco, 92j:53032 

Vanhecke, Lieven see Chen, Bang-Yen, 92k:53126 

Verbitskii, M.S. Action of the Lie algebra of SO(5) on the cohomology of a hyper-Kahler 
manifold. (Russian) 92a:53095 

Wang, Ai Nung A note to Futaki’s invariant. 92i:53067 

Yang, Kichoon The Chern numbers of projective algebraic hypersurfaces. 92k:53128 

— Local Hermitian geometry of complex surfaces in P>: totally parabolic surfaces. 
92k:53129 





Items with secondary classifications in 53C55 


Ahn, Seong-Soo see Lee, Sung-Baik; et al., 92c:53036 

Alekseevskii, D. V. (with Graev, M. M.) Calabi-Yau metric on the Fermat surface. 
Isometries and totally geodesic submanifolds. 92c:14036 

de Andrés, Luis C. (with Fernandez, Marisa Luisa; Mencia, José J.) Curvature and complex 
geometry on the Kodaira-Thurston manifold. 92b:53035 

Bailey, Toby N. (with Eastwood, Michael G.) Complex paraconformal manifolds—their 
differential geometry and twistor theory. 92a:32038 

Bando, Shigetoshi Bubbling out of Einstein manifolds. 92a:53065a 

— Correction and addition: “Bubbling out of Einstein manifolds”. 92a:53065b 

Bashir, M. A. Some totally umbilical CR-submanifolds of a Kaehler manifold. 92k:53096 

Bismut, Jean-Michel Superconnexions, indice local des familles, déterminant de la 
cohomologie et métriques de Quillen. [Superconnections, local index of families, 
determinant of cohomology and Quillen metrics] 92j:58101 

Bradlow, Steven B. Vortices in holomorphic line bundles over closed Kahler manifolds. 
92£:32053 

Candelas, Philip Yukawa couplings between (2, 1)-forms. (see 92b:81011) 

Castellani, Leonardo (with D’Auria, Riccardo; Ferrara, Sergio) Special geometry without 
special coordinates. 92g:83079b 

— (with D’Auria, Riccardo; Ferrara, Sergio) Special Kahler geometry. An intrinsic 
formulation from N = 2 space-time supersymmetry. 92g:83079a 

Chakmazyan, A. V. On a class of CR-submanifolds in a Kahlerian manifold. (Russian) 
92k:53098 

Chen, Bang-Yen (with Morvan, Jean-Marie) Sur la stabilité des sous-variétés minimales 
isotropes d’une variété kahlérienne. (English summary) [Stability of isotropic minimal 
submanifolds of a Kahler manifold] 92b:53100 

Dabrowski, L. (with Rinaldi, Maurizio) Spin structures, spinors and the Dirac operator: 
real versus complex manifolds. 92b:58242 

Dajezer, Marcos (with Rodriguez, Lucio L.) Complete real Kahler minimal submanifolds. 
92g:53057 

D’Auria, Riccardo see Castellani, Leonardo; et al., 92g:83079a and 92g:83079b 





53C55 


De Bartolomeis, Paolo Some new global results in twistor geometry. 92k:53055 

Delanoé, Philippe Extending Calabi’s conjecture to complete noncompact Kahler manifolds 
which are asymptotically C”, n > 2. 92d:32014 

— Obstruction to prescribed positive Ricci curvature. 92f:53046 

Dorfmeister, Josef Special algebraic properties of Kahler algebras. 92b:32037 

Dragomir, Sorin Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces. 92h:53083 

— (with Grimaldi, Renata) Cauchy-Riemann submanifolds of locally conformal Kaehler 
manifolds. III. 92g:53049 

Eastwood, Michael G. see Bailey, Toby N., 92a:32038 

Enoki, Ichiro Compact Ricci-flat Kahler manifolds. 92k:53078 

Fernandez, Marisa Luisa see de Andrés, Luis C.; et al., 92b:53035 

Ferrara, Sergio see Castellani, Leonardo; et al., 92g:83079a and 92g:83079b 

Friedland, Lew (with Hsiung, Chuan-Chih) A certain class of almost Hermitian manifolds. 
92b:53040 

Friedrich, Thomas (with Kath, Ines) Compact 5-dimensional Riemannian manifolds with 
parallel spinors. 92m:53080 

Gadea, Pedro Martinez (with Montesinos Amilibia, Angel) Some geometric properties of 
para-Kaehlerian space forms. (Italian summary) 92¢:53026 

— (with Muiioz Masqué, Jaime) Classification of almost para-Hermitian manifolds. (Italian 
summary) 92i:53028 

Galperin, A. S. (with Ogievetskii,O. V.) Holonomy groups, complex structures and D = 4 
topological Yang-Mills theory. 92i:81321 

Giménez, Fernando Comparison theorems for the volume of a complex submanifold of a 
Kaehler manifold. 92b:53091 

— (with Miquel, Vicente) Bounds for the first Dirichlet eigenvalue of domains in Kaehler 
manifolds. 92b:58234 

Gocho, Toru (with Nakajima, Hiraku) Einstein-Hermitian connections on hyper-Kahler 
quotients. 92k:53079 

Graev, M. M. see Alekseevskii, D. V., 92c:14036 

Greene, Robert E. The geometry of complex manifolds: an overview. 92g:32016 

Grimaldi, Renata see Dragomir, Sorin, 92g:53049 

Gromov, Mikhael L. Convex sets and Kahler manifolds. 92d:52018 

Hernandez, Luis Kahler manifolds and 1/4-pinching. 92b:53046 

Hsiung, Chuan-Chih see Friedland, Lew, 92b:53040 

Joyce, Dominic The hypercomplex quotient and the quaternionic quotient. 92f:53052 

Kakolewski, Thomas The geometry of some K4hler-Einstein manifolds. 92e:53063 

Kath, Ines see Friedrich, Thomas, 92m:53080 

Ki, U-Hang (with Suh, Young Jin) On real hypersurfaces of a complex space form. 
92f:53062 

Kim, Nam-Gil see Lee, Sung-Baik; et al., 92c:53036 

Kirichenko, V. F. Locally conformally Kahlerian manifolds with constant holomorphic 
sectional curvature. (Russian) 92d:53038 

Kon, Masahiro see Yano, Kentaro, 92k:53109 

Konopka, Czesiaw On extrinsic spheres in Kahler manifolds. 92k:53104 

LeBrun, Claude Anti-self-dual Hermitian metrics on blown-up Hopf surfaces. 92¢:53029 

— Twistors, Kahler manifolds, and bimeromorphic geometry. I. 92m:32052 

— (with Poon, Yat Sun) Twistors, Kahler manifolds, and bimeromorphic geometry. II. 
92m:32053 

Lee, Sung-Baik (with Kim, Nam-Gil; Ahn, Seong-Soo) Pseudo-Ryan real hypersurfaces of a 
complex space form. 92c:53036 

Lee, Sungyun Volume comparison of Bishop-Gromov type. 92m:53058 

Li, Hai Zhong see Sun, Zhen Za; et al., 92m:53097 

Lichnerowicz, André Spineurs harmoniques et spineurs-twisteurs en géométrie kahlerienne 
et conformément kahlerienne. (English summary) [Harmonic spinors and twistor-spinors 
in Kahler and conformally Kahler geometry] 92b:58235 

Luo, Zhi Guo A note on Kahler submanifolds in locally symmetric Bochner-Kahler 
manifolds. (Chinese. English summary) 92i:53050 

Matsumoto, Koji (with Mihai, lon; Rosca, Radu) Certain real hypersurfaces of a locally 
conformal Kahler space form. 92m:53096 

Mei, Xiang Ming Holomorphic vector fields and characteristic forms on a Hermitian 
manifold. 92f:58005 

Mencia, José J. see de Andrés, Luis C.; et al., 92b:53035 

Mihai. Ion see Matsumoto, Koji; et al., 92m:53096 

Miquel, Vicente see Giménez, Fernando, 92b:58234 

Mok, Ngaiming Aspects of Kahler geometry on arithmetic varieties. 92j:32027 

Montesinos Amilibia, Angel see Gadea, Pedro Martinez, 92e:53026 

Morvan, Jean-Marie see Chen, Bang-Yen; et al., 92b:53100 

Muiioz Masqué, Jaime see Gadea, Pedro Martinez, 92i:53028 

Nadel, Alan Michael Multiplier ideal sheaves and Kahler-Einstein metrics of positive scalar 
curvature. 924:32038 

Nakajima, Hiraku Self-duality of ALE Ricci-flat 4-manifolds and positive mass theorem. 
92j:53018 

— see also Gocho, Toru, 92k:53079 

Nitta, Takashi Yang-Mills connections on quaternionic Kahler quotients. 92g:53022 

Nomizu, Katsumi (with Pinkall, Ulrich; Podesta, Fabio) On the geometry of affine Kahler 
immersions. 92a:53083 

— (with Podesta, Fabio) On the Cartan-Norden theorem for affine Kahler immersions. 
92e:53095 

Ogata, Takashi Curvature pinching theorem for minimal surfaces with constant Kaehler 
angle in complex projective spaces. 92f:53072 

Ogievetskii,O. V. see Gal'perin, A. S., 92i:81321 

(Ostianu, N. M.) see Yano, Kentaro, 92k:53109 

Ouyang, Chong Zhen Kahler submanifolds of Bochner-Kahler manifolds. (Chinese) 
92:53023 

Pak, Hong Kyung On the transversal conformal curvature tensor on Hermitian foliations. 
92h:53036 

Pedersen, Henrik Hyper-K4hler metrics and monopoles. (see 92i:00029) 

— (with Poon, Yat Sun) Hamiltonian constructions of Kahler-Einstein metrics and Kahler 
metrics of constant scalar curvature. 92f:32051 

— see also Tod, K. Paul, 92b:53073 


DIFFERENTIAL GEOMETRY 


1992 902 


Pérez, Juan de Dios Conditions for quaternionic sectional curvature to be constant. 
92d:53032 

Pinkall, Ulrich see Nomizu, Katsumi; et al., 92a:53083 

Podesta, Fabio Affine Kahler hypersurfaces satisfying certain conditions on the curvature 
tensor. 92a:53078 

— see also Nomizu, Katsumi; et al., 92a:53083 and 92e:53095 

Pontecorvo, Massimiliano On twistor spaces of anti-self-dual Hermitian surfaces. 
92h:32047 

Poon, Yat Sun see Pedersen, Henrik, 92f:32051; LeBrun, Claude, 92m:32053 and Tod, K. 
Paul, 92b:53073 

Rinaldi, Maurizio see Dabrowski, L., 92b:58242 

Rodriguez, Lucio L. see Dajczer, Marcos, 92g:53057 

Rosca, Radu see Matsumoto, Koji; et al., 92m:53096 

Sekigawa, K. (with Vanhecke, Lieven) Four-dimensional almost Kahler Einstein manifolds. 
92d:53039 

Sheng, Yi Bing Eigenvalue inequalities for minimal and Kahler submanifolds. (Chinese) 
92m:58145 

Siu, Yum Tong Some recent results related to the uniformization problem in several 
complex variables. 92m:32054 

Strominger, Andrew Special geometry. 92a:53068 

Subramanian, Swaminathan Stability of the tangent bundle and existence of a Kahler- 
Einstein metric. 92k:14020 

Suh, Young Jin On the anti-self-duality of the Yang-Mills connection over higher- 
dimensional Kaehlerian manifold. 92a:53036 

— see also Ki, U-Hang, 92:53062 

Sun, Zhen Zu (with Li, Hai Zhong) Sasaki submanifolds of Kaehler manifolds. (Chinese. 
English summary) 92m:53097 

Swann, Andrew Hyper-Kahler and quaternionic Kahler geometry. 92c:53030 

Takano, Kazuhiko The proper value of A for 1-form and function in certain compact 
Kaehlerian manifolds. 92e:58223 

Takasaki, Kanehisa Symmetries of hyper-Kahler (or Poisson gauge field) hierarchy. 
92b:53072 

Tian, Gang On one of Calabi’s problems. 92j:32110 

— (with Yau, Shing-Tung) Complete Kahler manifolds with zero Ricci curvature. II. 
92j:32028 

Tod, K. Paul A comment on: “Kahler surfaces with zero scalar curvature” [Classical 
Quantum Gravity 7 (1990), no. 10, 1707-1719; MR 91i:53057] by H. Pedersen and Y. S. 
Poon. 92b:53073 

Tsai, I-Hsun Rigidity of holomorphic maps between compact Hermitian symmetric spaces. 
92d:32047 

Vaisman, Izu On some variational problems for 2-dimensional Hermitian metrics. 
92b:58044 

Vanhecke, Lieven see Sekigawa, K., 92d:53039 

Wong, Bun Schwarz’s lemma and Hermitian manifolds with constant holomorphic 
curvature. 92j:32094 

— A theorem on the uniformization of compact Hermitian manifolds with constant negative 
holomorphic curvature. 92j:32095 

— A note on homotopy complex surfaces with negative tangent bundles. 92m:32049 

Wu, Hung Hsi Polynomial functions on complete Kahler manifolds. 92g:32017 

Yano, Kentaro (with Kon, Masahiro) * CR-nogmHoroo6pa3Ha B KeslepoBoM H CacaKHeBOM 
MuHoroo6pa3uax. (Russian) [CR submanifolds of Kahlerian and Sasakian manifolds] 
92k:53109 

Yau, Shing-Tung A review of complex differential geometry. 92j:32029 

— (with Zheng, Fang Yang) Negatively 4-pinched Riemannian metric on a compact Kahler 
manifold. 92a:53056 

— see also Tian, Gang, 92j:32028 

Yeung, Sai-Kee Compactification of Kahler manifolds with negative Ricci curvature. 
92j:32106 

— Integrality of characteristic numbers on complete Kahler manifolds. 92b:32015 

Zheng, Fang Yang see Yau, Shing-Tung, 92a:53056 


53C56 Other complex differential geometry [see also 32Cxx] 


Alessandrini, Lucia (with Bassanelli, Giovanni) Compact p-Kahler manifolds. 92£:53077 

Bassanelli, Giovanni see Alessandrini, Lucia, 92f:53077 

Burstall, F.E. Riemannian twistor spaces and holonomy groups. 92b:53110 

Cordero, Luis A. Holomorphic principal torus bundles, curvature and compact complex 
nilmanifolds. 92b:53111 

— (with Fernandez, Marisa Luisa; Gray, Alfred) The Frélicher spectral sequence for 
compact nilmanifolds. 92b:53112 

Fernandez, Marisa Luisa see Cordero, Luis A.; et al., 92b:53112 

Gray, Alfred see Cordero, Luis A.; et al., 92b:53112 

Sierra, J. M. Complex submanifolds of some non-Kahler manifolds. (Spanish) (see 
92g:00024) 

Tanno, Shukichi Pseudo-conformal invariants of type (1,3) of CR manifolds. 92i:53068 


Items with secondary classifications in 53C56 

Chéng, Jih Hsin Curvature functions for the sphere in pseudo-Hermitian geometry. 
92k:32016 

Fischer, H.R. (with Fisher, R. J., Jr.) Simple partial connections and the Einstein 
condition. 92k:32052 

Fisher, R. J., Jr. see Fischer, H. R., 92k:32052 

Hamenstidt, Ursula A geometric characterization of negatively curved locally symmetric 
spaces. 92i:53046 

Martinez, Antonio Totally complex submanifolds of quaternionic projective space. 
92i:53053 

Mok, Ngaiming Topics in complex differential geometry. 92m:32014 

Singer, Michael A. Flat twistor spaces, conformally flat manifolds and four-dimensional 
field theory. 92a:81063 





903 1992 


53C60 Finsler spaces and generalizations (areal metrics) 
[see also 58B20] 


Andricioaei, Gh. The invariant form of the Einstein equations on vector bundles. (Roma- 
nian summary) 924:53061 

Ansari, M. M. see Sinha, B. B. 

Atanasiu, Gheorghe (with Klepp, Francisc C.) Natural pairs of almost product Finsler 
structures. (German summary) 92j:53033 

— Metric almost tangent structures on the cotangent bundle. 924:53062 

Comié, Irena Curves in subspaces of recurrent Finsler spaces. 92h:53082 

Dragomir, Sorin Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces. 92h:53083 

Galaev, S. V. Finsler structures from the point of view of the geometry of tangent bundles. 
(Russian) 92b:53113 

Kirkovits, Magdalen Sz. On k-Hamilton geometry. 92j:53034 

Klepp, Francisc C. see Atanasiu, Gheorghe, 92j:53033 

Kobayashi, Shoshichi Theorem of Busemann-Mayer on Finsler metrics. 92j:53035 

Matsumoto, Makoto Randers spaces of constant curvature. 92f:53078 

— Contributions of prescribed supporting element and the Cartan Y-connection. 924:53063 

— On H-recurrent Finsler connections and conformally Minkowski spaces. 92d:53064 

Oproiu, V. (with Papaghiuc, N.) Vector subbundles in the tangent bundle of a Lagrange 
space. (Romanian summary) 92e:53098 

Papaghiuc, N. see Oproiu, V., 92e:53098 

Prasad, B. N. (with Shukia, H. S.; Singh, D. D.) On a transformation of the Finsler metric. 
92b:53114 

Shukla, H.S. see Prasad, B. N.; et al., 92b:53114 

Singh, D. D. see Prasad, B. N.; et al., 92b:53114 

Sinha, B. B. (with Ansari, M. M.) Lagrange geometry on vector bundles. 

— (with Yadav, Ram Kirty) Almost contact semi-symmetric metric Finsler connections on 
vector bundle. 92a:53096 

— (with Yadav, Ram Kirty) On almost Sasakian Finsler manifolds. 92f:53079 

Tamia-Dimopoulou, P. On curvature theory of a manifold whose vertical bundle is endowed 
with a pseudo-Riemannian structure. 92f:53080 

Yadav, Ram Kirty see Sinha, B. B., 92a:53096 and 92£:53079 


Items with secondary classifications in 53C60 

Abate, Marco (with Patrizio, Giorgio) Uniqueness of complex geodesics and characteriza- 
tion of circular domains. 92k:32040 

Abed, S. H. Laplace operator on a bundle with a Sasaki metric. 92d:58198 

Anastasiei, Mihai Cross-section submanifolds of cotangent bundle over an Hamilton space. 
92m:53036 

Asanov, G. S. Finslerian and higher-order structure of space-time Lie-invariance in fibres. 
92e:53103 

Atanasiu, Gheorghe (with Klepp, Francisc C.) Nonlinear connection in cotangent bundle. 
92m:53037 

Bejancu, Aurel Gauge theory on a vector bundle. III. Strength fields, conservation laws and 
Bianchi identities. (Romanian summary) 92¢:58059 

Kis, B. Homogeneous connections and their osculations on the vertical subbundle. 
92h:53026 

Klepp, Francisc C. see Atanasiu, Gheorghe, 92m:53037 

Krélikowski, Wieslaw (with Lambert, Dominique; Lawrynowicz, Julian; Rembielitiski, 
Jakub) The CR problem and Hurwitz pairs applied to field theory and solid state physics. 
92m:53121 

— On some Lagrangian model concerning the solitary waves. 92m:58064 

Lambert, Dominique see Krélikowski, Wieslaw; et al., 92m:53121 

Lawrynowicz, Julian see Krélikowski, Wiestaw; et al., 92m:53121 

Lewandowski, Jerzy (with Nurowski, Pawel) Cartan’s chains and Lorentz geometry. 
92:32014 

Nurowski, Pawel see Lewandowski, Jerzy, 92f:32014 

Patrizio, Giorgio see Abate, Marco, 92k:32040 

Rembielitiski, Jakub see Krélikowski, Wiesiaw; et al., 92m:53121 


53C65 Integral geometry [see also 52A22, 60D05]; differential 
forms, currents, etc. [See mainly 58Axx] 


Amirov, A. Kh. Integral geometry and the problem of the reconstruction of the Riemann 
metric. (Russian) 92b:53115 

Anikonov, D.S. On the uniqueness of the solution of problems in integral geometry. 
(Russian) 92f:53081 

Arutyunyan, S. Kh. Geometry of multiple integrals that depend on parameters. (Russian) 
92e:53099 

Chacon, R. V. (with Fomenko, A. T.) Stokes’ formula for Lie algebra valued connection and 
curvature forms. 92m:53116 

Chai, Y. D. A geometric inequality for certain types of compact sets in R". 92m:53117 

Ehrenpreis, Leon The Radon transform and tensor products. 92f:53082 

Fomenko, A. T. see Chacon, R. V., 92m:53116 

Fu, Joseph H. G. Kinematic formulas in integral geometry. 92¢:53043 

Gindikin, S.G. Some notes on the Radon transform and integral geometry. 92m:53118 

Goldschmidt, Hubert The Radon transform for symmetric forms on real projective spaces. 
92e:53100 

Guerrero, Berenice Integral geometry of the groups ST(m + 1) and ST,(m + 1) in projective 
space P”. (Spanish) 92b:53116 

Helgason, Sigurdur The totally-geodesic Radon transform on constant curvature spaces. 
925:53036 - 

Kurusa, A. The Radon transform on hyperbolic space. 92k:53130 

Laget, B. Formule de Blaschke et porométrie des structures fibreuses. [The Blaschke 
formula and p y of fiber str |] 92d:53065 

Marusova, N. Yu. On a class of problems in integral geometry in a space. (Russian) 
92j:53037 

Pettineo, Maria Measurability of a family of intersecting lines in the affine space A, (n > 2). 
(Italian. English summary) 92j:53038 





53C Global differential geometry 


53C80 


Ramm, A. G. Solution of some integral equations arising in integral geometry. 92k:53131 

— A problem of integral geometry. 92k:53132 

Rotandaro, Giovani Minkowski-Hsiung formulas from the variational viewpoint. 92e:53101 

Wang, Hann Tzong L? estimates for the X-ray transform restricted to line complexes of 
Kirillov type. 92j:53039 

Zhang, Gao Yong Integral geometric inequalities. (Chinese) 

Zhang, Xue Shan Nonexistence of stable currents in submanifolds of a product of two 
spheres. 92m:53119 

Zhong, De Shou An integral formula for Euler characteristic forms on submanifolds. 
(Chinese. English summary) 92h:53084 

Zorich, A. V. Inversion of integral transformations connected with nilpotent subgroups of 
complex semisimple Lie groups. (Russian) 92e:53102 


Items with secondary classifications in 53C65 

Babenko, I. K. Volume rigidity of two-dimensional manifolds. (Russian) 92a:53086 

Bakanov, T. B. see Romanov, V. G.; et al., 92g:65138 

Cai, Kai Ren see Liu, Ji Zhi; et al., 92b:58008 

Chen, Beifang The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial 
geometric measures for noncompact polyhedra. 92m:52021 

Franchi, J. Théoréme des résidus asymptotique pour le mouvement brownien sur une 
surface riemannienne compacte. (English summary) [Asymptotic residue theorem for 
Brownian motion on a compact Riemann surface] 92k:60112 

Fu, Joseph H. G. On Verdier’s specialization formula for Chern classes. 92k:32073 

Gindikin, S.G. Twistors, rational curves, quaternionian structures. 92e:32015 

Goncharov, A. B. Three-dimensional reconstruction of identical particles with an unknown 
spatial arrangement from their projections. (Russian) 92a:00029 

Grinberg, Eric L. (with Rivin, Igor) Infinitesimal aspects of the Busemann-Petty problem. 
92e:52012 

Kabanikhin, S.1. see Romanov, V. G.; et al., 92g:65138 

Liu, Ji Zhi (with Cai, Kai Ren) The duality of conformal Killing p-forms on Riemannian 
manifolds. (Chinese summary) 92b:58008 

Manturov, O. V. A multiplicative integral. (Russian) 92f:58021 

Morgan, Frank The cone over the Clifford torus in R* is ®-minimizing. 92b:49078 

del Olmo, Mariano A. (with Santander, Mariano) A study of the action from kinematical 
integral geometry point of view. 92i:70036 

Petrov, E. E. Residues of the generalized function |det x|+ sgn” (det x). (Russian) 
92m:46055 

Richter, Frank H. R. On fundamental differential operators and the p-plane Radon 
transform. 92e:58211 

Rivin, Igor see Grinberg, Eric L., 92¢:52012 

Romanov, V. G. (with Kabanikhin, S. I.; Bakanov, T. B.) Estimation of the conditional 
stability of a differential-difference analogue of a three-dimensional problem in integral 
geometry. (Russian) 92g:65138 

Rother, Wolfgang” (with Zahle, M.) Absolute curvature measures. II. 92m:49073 

Santander, Mariano see del Olmo, Mariano A., 92i:70036 

Sato, Yumiko Distributions of stable random fields of Chentsov type. 92j:60016 

Schneider, Rolf Curvature measures and integral geometry of convex bodies. III. 92a:52005 

Sultanov, B. Yu. On an equality for some conformal invariants on Riemannian manifolds. 
(Russian) 92k:53028 

Vassallo, Salvatore Integral geometry of affine space groups that depend on more than eight 
parameters. (Italian. English summary) 92g:52004 

Voss, Konrad Variation of curvature integrals. 92m:53105 

Zahle, M. see Rother, Wolfgang”, 92m:49073 


53C70 Direct methods (G-spaces of Busemann, etc.) 


Alexander, Stephanie B. (with Bishop, Richard L.) The Hadamard-Cartan theorem in 
locally convex metric spaces. 92¢:53044 

Bishop, Richard L. see Alexander, Stephanie B., 92c:53044 

Pogorelov, A. V. H. Busemann’s G-spaces with a Riemannian metric. (Russian) 92j:53040 


Items with secondary classifications in 53C70 

Cannon, J. W. (with Cooper, Daryl) A characterization of cocompact hyperbolic and finite- 
volume hyperbolic groups in dimension three. 92f:22017 

Cooper, Daryl see Cannon, J. W., 92f:22017 

Firmanty, Malgorzata Generalized path spaces. II. 92i:58010 

Reich, Simeon Fixed point theory in hyperbolic spaces. (French summary) 92f:54042 

Shioya, Takashi The ideal boundaries and global geometric properties of complete open 
surfaces. 92a:53055 

— The ideal boundaries of complete open surfaces. 92b:53050 


53C75 Geometric orders, order geometry [see also 51Lxx] 


Nébeling, Georg Beispiele zur ordnungsg, 
order-geometric vertex theory] 92h:53085 





ischen Scheiteltheorie. [Examples on the 


53C80 Applications to physics 


Asanov, G. S. Finslerian and higher-order structure of space-time Lie-invariance in fibres. 
92e:53103 

Becerril, Ricardo see Matos, Tonatiuh, 92k:53135 

Bejancu, Aurel Gauge theory on a vector bundle. IV. An application to the electromagnetic 
field theory. (Romanian summary) 92e:53104 

Bona Garcia, Carles (with Coll, Bartolomé) Isometry groups of three-dimensional 
Riemannian metrics. 92j:53041 

Bourguignon, Jean-Pierre A mathematician’s visit to Kaluza-Klein theory. 92g:53067 

Brandt, Howard E. Connections and geodesics in the spacetime tangent bundle. 92h:53086 

— Structure of spacetime tangent bundle. 

— Differential geometry of spacetime tangent bundle. 92m:53120 

Chisholm, J.S.R. (with Farwell, R.S.) Clifford approach to metric manifolds. 92k:53133 





53C80 


Coll, Bartolomé see Bona Garcia, Carles, 92j:53041 

Donato, Jerry Entropy and curvature. 92k:53134 

Farwell, R.S. see Chisholm, J. S. R., 92k:53133 

Fronsdal, Christian What is a covariant derivative? 92f:53083 

Hammon, K.S. Biframe bundle geometry: an extension of Rainich-Misner-Wheeler theory 
to include sources. 92b:53117 

Hojman, Sergio A. (with Niifiez, Dario) Affine collineations in Riemannian spaces. 
92b:53118 

Ikeda, Satoshi Some remarks on the Lagrangian theory of electromagnetism. 92h:53087 

Tonin, V. K. Abstract groups as physical structures. (Russian) 

Islam, Quamrul On gravitational fields generated by nongravitational fields. (Bengali 
summary) 92b:53119 

Kerbrat, Yvan (with Kerbrat-Lunc, Héléne; Sniatycki, Jedrzej) Generalized gauge fields. 
92e:53105 

Kerbrat-Lunc, Héléne see Kerbrat, Yvan; et al., 92e:53105 

Keyl, Michael About the geometric structure of symmetry-breaking. 92g:53068 

Kroélikowski, Wiestaw (with Lambert, Dominique; Lawrynowicz, Julian; Rembielinski, 


Jakub) The CR problem and Hurwitz pairs applied to field theory and solid state physics. 


92m:53121 

Kulakov, Yu. I. Physical structure as a parametrically given hypersurface. (Russian) 

Lacomb, Ernesto A. (with Ongay-Larios, F.) On a structural scheme of physical theories 
proposed by E. Tonti. (see 92i1:00029) 

Lambert, Dominique see Krélikowski, Wiestaw; et al., 92m:53121 

Lawrynowicz, Julian see Krélikowski, Wiestaw; et al., 92m:53121 

Lev, V. Kh. A physical structure of rank (4, 2). (Russian) 

Matos, Tonatiuh (with Becerril, Ricardo) Chiral equations and fiber bundles. (Spanish. 
English summary) 92k:53135 

Mikhailichenko, G.G. Group structures as arbitrary physical structures. (Russian) 

Niiiiez, Dario see Hojman, Sergio A., 92b:53118 

Okubo, Susumu Nijenhuis-Bianchi identity and BRST-like operators. 92k:53136 

Ongay-Larios, F. see Lacomb, Ernesto A., (92i:00029) 

Pasini, Antonello Precessions of opposite chirality for the spin vector in a Riemann-Cartan 
framework. 92a:53097 

Perlick, Volker On Fermat's principle in general relativity. II. The conformally stationary 
case. 92b:53120 

— On Fermat’s principle in general relativity. I. The general case. 92k:53137 

Pimenov, R. I. Unified theories—an approach in terms of a semi-Riemannian geometry. 
(Russian) 

Rembielinski, Jakub see Krolikowski, Wiesiaw; et al., 92m:53121 

Sniatycki, Jedrzej see Kerbrat, Yvan; et al., 92e:53105 

Solov'évy, A. V. On the theory of binary physical structures of rank (5, 5; 6) and higher. 
(Russian) 

— see also Viadimirov, Yu. S. 

Teitelboim, Claudio p-form monopoles. (see 92b:81007) 

Tod, K. Paul Looking for marginally trapped surfaces. 92b:53121 

Viadimirov, Yu. S. (with Solov’év, A. V.) A physical structure of rank (4, 4; 6) and three- 
component spinors. (Russian) 

Yurtsever, Ulvi Test fields on compact space-times. 92a:53098 


Items with secondary classifications in 53C80 

Agop, M. (with Zet, Gh.) Some interpretations of generalized elliptic coordinates. 
(Romanian. French summary) 92k:53029 

Anandan, J. A geometric approach to quantum mechanics. 92j:81004 

Anastasiei, Mihai (with Kawaguchi, Hiroaki) A geometrical theory of time dependent 
Lagrangians. III. Applications. 92m:58038 

de Andrés, Luis C. (with de Leén, Manuel; Rodrigues, Paulo R.) Connections on tangent 
bundles of higher order associated to regular Lagrangians. 92g:53018 

Andricioaei, Gh. The invariant form of the Einstein equations on vector bundles. (Roma- 
nian summary) 92d:53061 

Aringazin, A. K. (with Mikhailov, A. L.) Matter fields in spacetime with vector nonmetric- 
ity. 92j:83094 

Asanov, G.S. Finslerian solution for static spherically symmetric gravitational field. 
92k:83096 

Atiyah, Michael Francis The frontier between geometry and physics. (Bulgarian) 
92m:57001 

Audretsch, Jiirgen (with Lammerzahl, Claus) Establishing the Riemannian structure of 
space-time by means of light rays and free matter waves. 92h:83056 

Bailey, Toby N. Complexified conformal almost-Hermitian structures and the conformally 
invariant eth and thorn operators. 92c:83040 

Baston, Robert J. Verma modules and differential conformal invariants. 92a:58151 

Beju, Iulian (with Sods, Eugen) Un modéle de type Toupin-Noll de l’univers des 
événements. [A model of Toupin-Noll type of the universe of events] 92c:70005 

Benn, I. M. (with Tucker, Robin W.) * An introduction to spinors and geometry with 
applications in physics. 92b:53015 

Bertolami, O. (with Mourao, J. M.; Picken, R. F.; Volobuev, I. P.) Dynamics of Eu- 
clideanized Einstein-Yang-Mills systems with arbitrary gauge groups. 92h:83009 

Biedrzycki, Witold R. Einstein’s equations with an embedding-dependent energy- 
momentum tensor for the compactified Minkowski time space and their relationship to 
the conformal action of SO(4, 4) on S> x S3. 92e:83002 

Binz, E. (with Socolescu, D.) On a global differential geometric approach to the rational 
mechanics of deformable media. 92f:73003 

Bleyer, U. (with Liebscher, Dierck-Ekkehard; Polnarev, A.G.) Some more methods and 
exact solutions to solve Kaluza-Klein cosmologies. 924:83058 

Bohm, Arno (with Boya, Luis J.; Kendrick, Brian) Derivation of the geometrical phase. 
92a:81045 

Bowick, Mark J. (with Yang, Kong Qing) String equations of motion from vanishing 
curvature. 92h:81119 

Boya, Luis J. see Bohm, Arno; et al., 92a:81045 

Brandt, Howard E. Riemann curvature scalar of spacetime tangent bundle. 

Candelas, Philip Yukawa couplings between (2, 1)-forms. (see 92b:81011) 





DIFFERENTIAL GEOMETRY 1992 904 


Capovilla, Riccardo (with Dell, John; Jacobson, Theodore; Mason, Lionel) Self-dual 2- 
forms and gravity. 92a:83006 

Carter, Brandon Basic brane theory. 92m:83075 

Castagnino, Mario A. (with Yastremiz, Claudia) Gauge theory of conformal group. (see 
92b:81007) 

Castellani, Leonardo (with D’Auria, Riccardo; Ferrara, Sergio) Special geometry without 
special coordinates. 92g:83079b 

— (with D’Auria, Riccardo; Ferrara, Sergio) Special Kahler geometry. An intrinsic 
formulation from N = 2 space-time supersymmetry. 92g:83079a 

— (with Fré, Pietro; Gliozzi, Ferdinando; Rego Monteiro, M. A.) (2,2) vacua of the 
heterotic superstring compactified on SU(2)? groupfolds. 92m:81207 

Chakraborty, Biswajit (with Parthasarathy, Ragavachariar) On generalized spin structures 
on the CP? manifold. 92¢:57022 

Christodoulou, Demetrios The formation of black holes and singularities in spherically 
symmetric gravitational collapse. 92d:83044 

Chung, Kyung Tae (with Jun, Dong Kum) On the geometry of the manifold *g-SE X, and 
its conformal change. 92m:83065 

Crumeyrolle, A. Generalized Kaluza-Klein theory and supersymmetry. (Italian summary) 
92£:83072 

D’Auria, Riccardo see Castellani, Leonardo; et al., 92g:83079a and 92g:83079b 

Davini, Cesare (with Parry, Gareth P.) A complete list of invariants for defective crystals. 
92j:82066a 

— (with Parry, Gareth P.) Errata: “A complete list of invariants for defective crystals”. 
92j:82066b 

Dehnen, Heinz see Shao, Chang Gui, 92j:81182 

Dell, John see Capovilla, Riccardo; et al., 92a:83006 

Dell’Antonio, Gianfausto (with Zwanziger, Daniel) Every gauge orbit passes inside the 
Gribov horizon. 92i:58029 

Deszcz, Ryszard (with Verstraelen, Leopold; Vrancken, Luc) The symmetry of warped 
product space-times. 92f:53074 

Di Carlo, Antonio (with Tiero, A.) The geometry of linear heat conduction. 92m:80006 

Ding, Xiu Xiang see Liang, Jiu Qing, 92a:81029 

Doebner, H.-D. (with Tolar, J.) Mackey’s quantization and invariant connections. 
92¢:22021 

Duggal, K. L. Affine conformal vector fields in semi-Riemannian manifolds. 92£:53075 

Duncan, Della C. (with Ihrig, Edwin C.) Three-dimensional Schwarzschild spacetimes. 
92b:83023 

Ecker, Klaus (with Huisken, Gerhard) Parabolic methods for the construction of spacelike 
slices of prescribed mean curvature in cosmological spacetimes. 92g:53058 

Ehrlich, Paul E. Null cones and pseudo-Riemannian metrics. 92h:53023 

Ercolani, Nicholas M. (with Sinha, Amarendra) On the construction of a hyper-Kahler 
metric on the moduli space of monopoles. 92e:53061 

Estabrook, Frank B. Lagrangians for Ricci-flat geometries. 92d:83009 

Ferrara, Sergio (with Kounnas, Costas; List, Dieter; Zwirner, Fabio) Duality-invariant 
partition functions and automorphic superpotentials for (2, 2) string compactifications. 
92k:81143 

— see also Castellani, Leonardo; et al., 92g:83079a and 92g:83079b 

Ferraris, Marco see Gatto, Letterio; et al., 92a:53037 

Figueiredo, V. L. see Rodrigues, Waldyr A., Jr., 92f:83054 

Fivel, Daniel I. Geometry underlying no-hidden-variable theorems. 92e:81011 

Francaviglia, Mauro see Gatto, Letterio; et al., 92a:53037 

Frauendiener, Jorg Triads and the Witten equation. 92j:83089 

Fré, Pietro see Castellani, Leonardo; et al., 92m:81207 

Friedman, John L. (with Higuchi, Atsushi) State vectors in higher-dimensional gravity with 
kinematic quantum numbers of quarks and leptons. 92d:83059 

Friedrich, Helmut On the global existence and the asymptotic behavior of solutions to the 
Einstein-Maxwell-Yang-Mills equations. 92i:58191 

Fulp, Ronald O. Affine geometries defined by fiber preserving diffeomorphisms. 92g:53020 

Galicki, Krzysztof (with Poon, Yat Sun) Duality and Yang-Mills fields on quaternionic 
Kahler manifolds. 92i:53024 

— Geometry of the scalar couplings in N = 2 supergravity models. 92k:83128 

Gatto, Letterio (with Ferraris, Marco; Francaviglia, Mauro) Remarks on right-invariant 
vectorfield bases in principal bundles and their applications to decomposition theorems. 
92a:53037 

Ghika, G. Homothetic symmetries on spatially compact space-times for the Einstein 
equations coupled to the harmonic maps. 92a:58033 

Giannopoulos, Abraham Generalized torsion and curvature. 92j:83116 

Gliozzi, Ferdinando see Castellani, Leonardo; et al., 92m:81207 

Gotzes, Siegfried (with Hirshfeld, Allen C.) A geometric formulation of the SO(3, 2) theory 
of gravity. 92e:83039 

Hajitek, Petr (with Kuchay, Karel V.) Transversal affine connection and quantization of 
constrained systems. 92b:81096 

Harnett, Gerald The GHP connection: a metric connection with torsion determined by a 
pair of null directions. 92¢:83034 

Heller, Michael see Multarzytiski, Piotr, 92b:58011 

Higuchi, Atsushi see Friedman, John L., 92d:83059 

Hirshfeld, Allen C. see Gotzes, Siegfried, 92e:83039 

Howe, P.S. (with Papadopoulos, George J.) A note on holonomy groups and sigma models. 
92i:81324 

Hughston, L. P. see Shaw, W. T., 92e:81076 

Huisken, Gerhard see Ecker, Klaus, 92g:53058 

Hull, Christopher M. Lectures on nonlinear sigma-models and strings. (see 92b:81011) 

Hurtubise, Jacques (with Murray, Michael K.) Monopoles and their spectral data. 
92a:32041 

Ianus, Stere (with Visinescu, Mihai) Spacetime compactification induced by scalar fields 
and cosymplectic structures. 92j:83117 

Thrig, Edwin C. see Duncan, Della C., 92b:83023 

Ivanova, T. A. Nahm equations and self-dual connections. (Russian) 92k:58280 

Jacobson, Theodore see Capovilla, Riccardo; et al., 92a:83006 

Jun, Dong Kum see Chung, Kyung Tae, 92m:83065 





905 1992 


Kaleva, S. 1. * On the first integrals of geodesics. 92m:53072 

Kalinowski, M. W. Nonsymmetric Kaluza-Klein and Jordan-Thiry theory in a general 
nonabelian case. 92b:83091 

Kawaguchi, Hiroaki see Anastasiei, Mihai, 92m:58038 

Kawaguchi, Tomoaki see Miron, Radu, 92c:83031 

Kawai, Toshiharu (with Toma, Naoki) An extended new general relativity as a reduction of 
Poincaré gauge theory of gravity. Generators of internal and coordinate transformations. 
92£:83067 

Kay, Daniel see Viswanathan, K. S.; et al., 92e:81211 

Kendrick, Brian see Bohm, Arno; et al., 92a:81045 

Klinkhamer, F.R. Another look at the SU(2) anomaly. 924:81134 

Kounnas, Costas see Ferrara, Sergio; et al., 92k:81143 

Kreinovich, V. Ya. Space-time isomorphism problem is intractable (NP-hard). 92g:83061 

Kuchai, Karel V. see Hajitek, Petr, 92b:81096 

Lammerzahl, Claus see Audretsch, Jiirgen, 92h:83056 

Lee, Jong Woo Field equations on SE(k)-manifold X,. 92g:83068 

de Leén, Manuel see de Andrés, Luis C.; et al., 92g:53018 

Liang, Jiu Qing (with Ding, Xiu Xiang) Broken gauge equivalence of Hamiltonians due to 
time-evolution and the Berry phase. 92a:81029 

Liebscher, Dierck-Ekkehard see Bleyer, U.; et al., 92d:83058 

Liu, Yu Fen Spinor connections and geometrization of fermions. 92b:53030 

Lopuszariski, Jan Some remarks concerning the B.R.S.T. transformation. 92j:81332 

Lukaé, I. %& Mnrerpanbi 28uxXeHHA Ha Tpynne HHBAapHaHTHOCTH MHTepBasia TPeXMepHbIX 
mpoctpaxcts. (Russian) [Integrals of motion on the invariance group of an interval of 
three-dimensional spaces] 92k:22037 

List, Dieter see Ferrara, Sergio; et al., 92k:81143 

(Madzharova, Yana) see Atiyah, Michael Francis, 92m:57001 

Maeda, Kei-ichi see Nakao, Ken-ichi; et al., 92f:83023 

Manoff, S. Invariant projection of the energy-momentum tensors for field theories in spaces 
with affine connection and metric. 92a:58039 

— * Deviation equations of Synge and Schild in spaces with affine connection and metric, 
and equations for gravitational waves detectors. 

Marques-Bonham, Sirley The Dirac equation in a non-Riemannian manifold. III. An 
analysis using the algebra of quaternions and octonions. 92f:83070 

Marrakchi, A. L. Conserved conformal currents in curved space-time. 92g:83030 

Martin, Daniel * Manifold theory. 92g:58001 

Martin, I. see Mendoza, A.; et al., 92k:81205 

Mason, Lionel see Capovilla, Riccardo; et al., 92a:83006 

McCrea, J. Dermott Irreducible decompositions of nonmetricity, torsion, curvature and 
Bianchi identities in metric-affine spacetimes. 92k:83107 

Mendoza, A. (with Restuccia, A.; Martin, I.) Reduction of 4-dim self-dual super Yang-Mills 
equations onto super Riemann surfaces. 92k:81205 

Mikhailov, A. L. see Aringazin, A. K., 92j:83094 

Miron, Radu (with Kawaguchi, Tomoaki) Sur la théorie géométrique de l’optique 
relativiste. (English summary) [On the geometric theory of relativistic optics] 92c:83031 

Montgomery, Richard How much does the rigid body rotate? A Berry’s phase from the 18th 
century. 92e:58074 

Mourio, J. M. see Bertolami, O.; et al., 92h:83009 

Miiller-Hoissen, Folkert From Chern-Simons to Gauss-Bonnet. 92b:83092 

Multarzynski, Piotr (with Heller, Michael) The differential and cone structures of 
spacetime. 92b:58011 

Murray, Michael K. see Hurtubise, Jacques, 92a:32041 

Nakajima, Hiraku Moduli spaces of anti-self-dual connections on ALE gravitational 
instantons. 92a:58024 

Nakamura, Takashi see Nakao, Ken-ichi; et al., 92f:83023 

Nakao, Ken-ichi (with Maeda, Kei-ichi; Nakamura, Takashi; Oohara, Ken-ichi) Constant- 
mean-curvature slicing of the Schwarzschild-de Sitter space-time. 92f:83023 

Neitzke, Katharina Die Lorentz-Kraft auf pseudo-Riemannschen Mannigfaltigkeiten. [The 
Lorentz force on pseudo-Riemannian manifolds] 92k:53039 

Nester, James M. Special orthonormal frames. 92j:53012 

Okubo, Susumu A BRST-like operator for space with zero curvature but nonzero torsion 
tensor. 92j:81335 

Oohara, Ken-ichi see Nakao, Ken-ichi; et al., 92f:83023 

Papadopoulos, Athanase D. p-Lie invariance, the constraint problem and the Einstein field 
equations. 

Papadopoulos, George J. Group actions and nonlinear sigma models. 92a:81114 

— see also Howe, P. S., 92i:81324 

Park, Q-Han Integrable deformation of self-dual gravity. 92m:81172 

Parravicini, G. Schrédinger Hamiltonians as affine connections. 92e:81100 

Parry, Gareth P. see Davini, Cesare, 92j:82066a and 92j:82066b 

Parthasarathy, Ragavachariar (with Viswanathan, K.S.) Extrinsic geometry of strings and 
the Gauss map of surfaces in R”. 92k:81156 

— see also Chakraborty, Biswajit, 92c:57022 and Viswanathan, K. S.; et al., 92e:81211 

Pedersen, Henrik (with Tod, K. Paul) Einstein metrics and hyperbolic monopoles. 
92:53053 

Pelizzola, Alessandro (with Topi, Corrado) Generalized coherent states for dynamical 
superalgebras. 92j:81091 

Perlick, Volker Observer fields in Weylian spacetime models. 92b:83087 

Picken, R. F. see Bertolami, O.; et al., 92h:83009 

Polnarev, A. G. see Bleyer, U.; et al., 92d:83058 

Pommaret, Jean-Francois Gauge theory and general relativity. 92e:58243 

— Geometric methods for Cosserat media. 92d:58226 

Poon, Yat Sun see Galicki, Krzysztof, 92i:53024 

(Pradhan, T.) see Superstrings and grand unification, 92c:81006 

Prugovetki, Eduard (with Warlow, S.) Geometro-stochastic quantisation and parallel 
transport of fermion fields in curved spacetime. 92£:81066 

Ragiadakos, C. N. Solitons in a four-dimensional generally covariant conformal model. 
92k:83033 

Rapoport Campodénico, Diego Lucio On the construction of Lie-isotopic relativistic 
stochastic mechanics and Lie-isotopic potential theory from the Lie-isotopic geometry 


53C Global differential geometry 


53C99 


associated to a torsion potential. 

Rcheulishvili,G. The curvature and the algebra of Killing vectors in five-dimensional space. 
92k:83119 

Rego Monteiro, M. A. see Castellani, Leonardo; et al., 92m:81207 

Rennie, R. Geometry and topology of chiral anomalies in gauge theories. 92f:81199 

Restuccia, A. see Mendoza, A.; et al., 92k:81205 

Rodrigues, Paulo R. see de Andrés, Luis C.; et al., 92g:53018 

Rodrigues, Waldyr A., Jr. (with Figueiredo, V. L.) A new approach to the spinor structure 
of space-time. 92f:83054 

Ross, Dennis K. SO(3) fiber bundles and spinors. 92k:81098 

Roxburgh, Ian W. Post-Newtonian limit of Finsler space theories of gravity and solar 
system tests. 

Ryzhov, A. B. (with Savinkov, A.G.) Quantum mechanics on nontrivial fiber bundles 
connected with a monopole. (Russian. English summary) 92m:81174 

Sardanashvili, G. A. Gauge gravitation theory. 92c:81227 

— Spontaneous symmetry breaking and multidimensional coordinate space. 92k:83120 

Savinkov, A. G. see Ryzhov, A. B., 92m:81174 

Schmidt, Bernd Gerhard On the uniqueness of boundaries at infinity of asymptotically flat 
spacetimes. 92m:83037a 

— Errata: “On the uniqueness of boundaries at infinity of asymptotically flat spacetimes”. 
92m:83037b 

Schroers, B. J. Quantum scattering of BPS monopoles at low energy. 92h:81101 

Shao, Chang Gui (with Dehnen, Heinz) Nonlinear gauge theory of Poincaré gravity. 
92j:81182 

Shaw, W. T. (with Hughston, L. P.) Twistors and strings. 92e:81076 

Sinha, Amarendra see Ercolani, Nicholas M., 92e:53061 

Sitenko, Yu. A. Geometry of the base manifold and fermion number fractionization. 
924:81141 

Stadkowski, J. Generalized ¥-theory. 92m:18017 

Socolescu, D. see Binz, E., 92f:73003 

Socolovsky, M. Gauge transformations and fiber bundle theory. 92m:53042 

Sods, Eugen see Beju, Iulian, 92c:70005 

Strominger, Andrew Special geometry. 92a:53068 

Tapia, Victor The role of minimal surfaces in the physics of elementary particles. (see 
92b:00033) 

Tiero, A. see Di Carlo, Antonio, 92m:80006 

Tod, K. Paul see Pedersen, Henrik, 92:53053 

Tolar, J. see Doebner, H.-D., 92c:22021 

Toma, Naoki see Kawai, Toshiharu, 92f:83067 

Topi, Corrado see Pelizzola, Alessandro, 92j:81091 

Torre, C. G. A topological field theory of gravitational instantons. 92f:58029 

Tucker, Robin W. see Benn, I. M., 92b:53015 

Tzanakis, C. Liouville’s theorem and the definition of volume on the tangent bundle of 
space-time. 92h:58074 

Vandyck, M. A. Space-time symmetries in the theory of supergravity. IV. Comparison 
between space-time and superspace formalisms. 92b:83098 

Verstraelen, Leopold see Deszcz, Ryszard; et al., 92f:53074 

Verwimp, Theo Unified prescription for the generation of electroweak and gravitational 
gauge field Lagrangian on a principal fiber bundle. 92a:81222 

Visinescu, Mihai Massless gauge fields and monopoles in the space-time compactification 
induced by scalars. 92d:83062 

— see also lanusg, Stere, 92j:83117 

Viswanathan, K.S. (with Parthasarathy, Ragavachariar; Kay, Daniel) Generalized Gauss 
map and the geometry of strings. 92e:81211 

— see also Parthasarathy, Ragavachariar, 92k:81156 

Volobuev, I. P. see Bertolami, O.; et al., 92h:83009 

Vrancken, Luc see Deszcz, Ryszard; et al., 92£:53074 

Warlow, S. see Prugovetki, Eduard, 92f:81066 

Williams, Jeffrey George (with Zvengrowski, P.) Kink metrics in (2 + 1)-dimensional 
space-time. 92m:53111 

Wa, Wen Jun ‘Mechanical theorem proving of differential geometries and some of its 
applications in mechanics. 92h:03017 

Yang, Kong Qing see Bowick, Mark J., 92h:81119 

Yang, Yisong Self-dual monopoles in a seven-dimensional gauge theory. 92f:81109 

Yastremiz, Claudia see Castagnino, Mario A., (92b:81007) 

Zakrzewski, Wojciech J. * Low-dimensional sigma models. 92h:81172 

Zet, Gh. see Agop, M., 92k:53029 

Zvengrowski, P. see Williams, Jeffrey George, 92m:53111 

Zwanziger, Daniel see Dell’Antonio, Gianfausto, 92i:58029 

Zwirner, Fabio see Ferrara, Sergio; et al., 92k:81143 


Items listed otherwise than by author 
Puri * Superstrings and grand unification. 92c:81006 
School: 
High Energy Physics * Superstrings and grand unification. 92c:81006 
Superstrings and grand unification * Superstrings and grand unification. 92¢:81006 


53C99 None of the above, but in this section 


Abakirov, B. Riemannian spaces with fields of degeneracy with respect to conformal 
transformations. (Russian) (see 92m:54001) 

Aleshnikov, S. I. Metrics on a smooth manifold connected with dynamical polysystems of a 
special type. (Russian) 

Alybakova, G. B. Nontransitive groups of conformal transformations of four-dimensional 
Riemannian spaces with degenerate hypersurfaces. (Russian) (see 92m:54001) 

Chen, Zhi Hua see La, Zhi Qin; et al. 

La, Zhi Qin (with Chen, Zhi Hua) g-quasiconvex fields over r-complete manifolds. 
(Chinese) 

Moldobaev, Dzh. Conformally extended groups of motions of Riemannian spaces. 
(Russian) (see 92m:54001) 





53C99 


Rylov, A. A. On the geometry of a mapping of Riemannian manifolds of reduced rank. 
(Russian) 

Toomanian, Megerdich Reflection and symmetry in Riemann compressed spaces. (Persian) 
(see 92m:00055) 


Items with secondary classifications in 53C99 
Carne, T. K. The geometry of shape spaces. 92h:60016 
Cheshkova, M.A. g-conjugate deformation algebras. (Russian) 


Tsuji, Hajime Differential-geometric surfaces in the minimal model conjecture. (Japanese) 
92g:32057 


54-XX General topology {For the topology of 
manifolds of all dimensions, see 57Nxx.} 


54-01 Instructional exposition (textbooks, tutorial papers, etc.) 

(Adnadjevié, Du3an) see Boltyanskii, V. G., 92f:54001 

Baker, Crump W. * Introduction to topology. 

Boltyanskii, V.G. (with Efremovich, V. A.) * Otigledna topologija. (Serbo-Croatian) 
[Descriptive topology] 92f:54001 

Edgar, Gerald A. * Measure, topology, and fractal geometry. 92a:54001 

Efremovich, V. A. see Boltyanskii, V. G., 92f:54001 

Goffinet, Daniel Number systems with a complex base: a fractal tool for teaching topology. 
92a:54002 

(Novikov, S. P.) see Boltyanskii, V. G., 92f:54001 


Items with secondary classifications in 54-01 

Aleksandrov, A. D. (with Netsvetaev, N. Yu.) * Teomerpua. (Russian) [Geometry] 
92k:51001 

(Minakhin, V. V.) see Shashkin, Yu. A., 92j:55001 

Netsvetaev, N. Yu. see Aleksandrov, A. D., 92k:51001 

Page, Warren * Topological uniform structures. 92d:46001 

Shashkin, Yu. A. * Fixed points. 92j:55001 


54-02 Research exposition (monographs, survey articles) 

Atalla, Robert E. Problems on P-sets and P;-sets. 

Dow, Alan Dow’s questions. (see 92c:54001) 

Gruenhage, Gary Perfectly normal compacta, cosmic spaces, and some partition problems. 
(see 92¢:54001) 

Hart, Klaas Pieter (with van Mill, Jan) Open problems on Bw. (see 92c:54001) 

Kharazishvili, A. B. * M36panxbie Bonpocti o6ujeh Tononoruu. (Russian) [Selected 
problems in general topology] 92a:54003 

van Mill, Jan (with Reed, George M.) Open problems in topology. 92i:54001 

— see also Hart, Klaas Pieter, (92c:54001) 

Nyikos, Peter J. On first countable, countably compact spaces. III. The problem of 
obtaining separable noncompact examples. (see 92¢:54001) 

Reed, George M. Set-theoretic problems in Moore spaces. (see 92c:54001) 

— see also van Mill, Jan, 92i:54001 

Rudin, Mary Ellen Some conjectures. (see 92c:54001) 

(Shelah, Saharon) see Vaughan, Jerry E., (92c:54001) 

Steprans, Juris Steprans’ problems. (see 92c:54001) 

Tall, Franklin D. Tall’s problems. (see 92c:54001) 

Vaughan, Jerry E. Small uncountable cardinals and topology. (see 92c:54001) 

Watson, W. Stephen Problems I wish I could solve. (see 92¢:54001) 

Weiss, William A. R. Weiss’s questions. (see 92c:54001) 


Items with secondary classifications in 54-02 


Arkhangel'skii, A. V. * Topological function spaces. 92i:54022 
(Hoksbergen, R. A.M.) see Arkhangel'skii, A. V., 92i:54022 


54-03 Historical (must also be assigned at least one 
classification number from Section 01) 
Vechtomov, E.M. Questions on the determination of topological spaces by algebraic 
systems of continuous functions. (Russian) 92e:54001 
Items with secondary classifications in 54-03 
Simms, John C. Sierpifski’s theorem. 92j:01052 


54-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Items with secondary classifications in 54-04 


Cannon, J. W. Mathematics in marble and bronze: the sculpture of Helaman Rolfe Pratt 
Ferguson. 92:00010 


(Ferguson, Helaman Rolfe Pratt) see Cannon, J. W., 92f:00010 


54-06 Proceedings, conferences, collections, etc. 


(Andima, Susan J.) see General topology and applications, 92h:54001 
(Borubaev, A. A.) see Investigations in topological and generalized spaces, 92m:54001 
(Kopperman, Ralph) see General topology and applications, 92h:54001 


DIFFERENTIAL GEOMETRY 


(van Mill, Jan) see Open problems in topology, 92c:54001 

(Misra, Prabudh Ram) see General topology and applications, 92h:54001 
(Reed, George M.) see Open problems in topology, 92c:54001 
(Reichman, Jack Z.) see General topology and applications, 92h:54001 
(Todd, Aaron R.) see General topology and applications, 92h:54001 


Items listed otherwise than by author 
Conference: 

General Topology and Applications * General topology and applications. 92h:54001 
General topology and applications * General topology and applications. 92h:54001 
Investigations in the theory of topological spaces and related fields * Isd kdkan ron to sono 

shthen bunya no kenkyd. (Japanese) [Investigations in the theory of topological spaces 

and related fields] 92h:54002 
Investigations in topological and generalized spaces * MiccneqosaHua 10 TONOMOrH4eCKHM HK 
o606meHHBIM NpoctpaHcTBaoM. (Russian) [Investigations in topological and generalized 
spaces] 92m:54001 
Open problems in topology * Open problems in topology. 92c:54001 
Staten Island, NY * General topology and applications. 92h:54001 
Symposium: 
Investigations in the Theory of Topological Spaces and Related Fields * Isd kikan ron to 
sono shihen bunya no kenkyd. (Japanese) [Investigations in the theory of topological 
spaces and related fields] 92h:54002 


Items with secondary classifications in 54-06 


(Baillon, Jean-Bernard) see Fixed point theory and applications, 92b:00040 
(Brown, Morton) see Continuum theory and dynamical systems, 92a:00038 
(Herrlich, Horst) see Category theory at work, 92i:18001 

(Porst, Hans-E.) see Category theory at work, 92i:18001 

(Théra, Michel) see Fixed point theory and applications, 92b:00040 


Items listed otherwise than by author 


Arcata,CA * Continuum theory and dynamical systems. 92a:00038 
Bremen * Category theory at work. 92i:18001 
Category theory at work * Category theory at work. 92i:18001 


(Japanese) [Cohomological dimension and soft maps] 92i:55002 
Conference: 
Continuum Theory and Dynamical Systems * Continuum theory and dynamical systems. 
92a:00038 
Fixed Point Theory and Applications * Fixed point theory and applications. 92b:00040 
Contemporary Mathematics * Continuum theory and dynamical systems. 92a:00038 
Continuum theory and dynamical systems * Continuum theory and dynamical systems. 
92a:00038 
Fixed point theory and applications * Fixed point theory and applications. 92b:00040 
Marseille * Fixed point theory and applications. 92b:00040 
Symposium: 
Cohomological Dimension and Soft Maps * Kohomorojii jigen to sofuto shazd no 
kenkyi. (Japanese) [Cohomological dimension and soft maps] 92i:55002 
Workshop: 
Category Theory at Work * Category theory at work. 92i:18001 


54Axx Generalities 


54A05 Topological spaces and generalizations (closure spaces, 
etc.) 


Abd El-Monsef, M. E. (with Geaisa, A. N.; Lashien, E. F.) Separation axioms in supratopo- 
logical spaces. (Arabic summary) 92c:54002 

— see also Mahmoud, R. A., 92b:54001 

Ahmad, Bashir (with Khan, Moizuddin; Noiri, Takashi) A note on semi-frontier. 
92d:54001 

Arya, Shashi Prabha see Nayar, Bhamini M. P. 

Ayerbe Toledano, José M. The category-base of sets of second category in a topological 
space. (Spanish. English summary) (see 92m:00049) 

Baranga, Andrei Z-topologies. II. 92h:54003 

Domenech Blazquez, Margarita (with Rossell i Garriga, Josep Maria; Rubié i Diaz, Pedro) 
Pseudotopologies. (Spanish. English summary) (see 92m:00050) 

Dorsett, Charles Subspaces and product spaces of semi separation axioms. 

Ergun, N. Notes on boundaries. (Turkish summary) 92¢:54003 

Fife, James H. The Kuratowski closure-complement problem. 924:54002 

Geaisa, A. N. see Abd El-Monsef, M. E.; et al., 92c:54002 

Khan, Moizuddin see Ahmad, Bashir; et al., 92d:54001 

Lashien, E. F. see Abd El-Monsef, M. E.; et al., 92c:54002 

Leseberg, Dieter Zur Theorie limesformer Raume. II. [On the theory of limit form spaces. 
II] 92k:54001 

— Convergence structures. 92g:54001 

Lowen-Colebunders, Eva (with Szab6, Z.G.) Simplicity of categories defined by symmetry 
axioms. 92h:54004 

Mahmoud, R. A. (with Abd El-Monsef, M. E.) £-irresolute and £-topological invariant. 
92b:54001 

Nayar, Bhamini M. P. (with Arya, Shashi Prabha) Semi-topological properties. 

Noiri, Takashi see Ahmad, Bashir; et al., 92d:54001 

Ogata, Hayao Operations on topological spaces and associated topology. 92¢:54004 

Rossell i Garriga, Josep Maria see Domenech Blézquez, Margarita; et al., (92m:00050) 

Rubi6 i Diaz, Pedro see Domenech Blazquez, Margarita; et al., (92m:00050) 

Slapal, Josef A note on generalized topologies. (Russian and Slovak summaries) 92c:54005 

Szab6, Z.G. see Lowen-Colebunders, Eva, 92h:54004 





907 1992 


Tang, Rao Sheng Some cover properties of semi-open sets. (Chinese. English summary) 
92i:54002 


Wieczorek, Andrzej Compressibility: a property of topological spaces related to abstract 
convexity. 92i:54003 


Wiweger, Antoni On topological rough sets. (Russian summary) 92h:54005 


Items with secondary classifications in 54A05 

Allam, A. A. see Mashhour, Ali S.; et al., 924:54038 

Baboolal, D. (with Banaschewski, B.) Compactification and local connectedness of frames. 
92b:54049 


Banaschewski, B. see Baboolal, D., 92b:54049 

Domenech Blazquez, Margarita see Rossell i Garriga, Josep Maria; et al., (92m:00050) 

Galvin, Fred (with Milner, Eric C.; Pouzet, Maurice) Cardinal representations for closures 
and preclosures. 92c:06002 

Gnitka, Stanislaw * Operators and topologies in relational systems. 92f:04001 

Hasanein, I. A. see Mashhour, Ali S.; et al., 92d:54038 

Hicks, T. L. (with McKee, Rhonda) Near-completely homogeneous spaces. 92b:54064 

Itzkowitz, Gerald L. Uniformities and uniform continuity on topological groups. 92j:54053 

Leseberg, Dieter Zur Theorie limesformer Raume. I. [On the theory of limform spaces. I] 
92g:54039 

— Clanformities and h-topological extensions. 92k:54030 

Madden, James J. Frames associated with an abelian /-group. 92g:06028 

Mashhour, Ali S. (with Allam, A. A.; Hasanein, I. A.) Bisupratopological spaces. (Arabic 
summary) 924:54038 

McKee, Rhonda see Hicks, T. L., 92b:54064 

Milner, Eric C. see Galvin, Fred; et al., 92c:06002 

Pouzet, Maurice see Galvin, Fred; et al., 92c:06002 

Rossell i Garriga, Josep Maria (with Doménech Blazquez, Margarita; Rubi6 i Diaz, Pedro) 
Interior and closure of convex sets by their generalized Minkowski function. (Spanish. 
English summary) (see 92m:00050) 

Rubié i Diaz, Pedro see Rossell i Garriga, Josep Maria; et al., (92m:00050) 

Vermeulen, J. J.C. Weak compactness in constructive spaces. 92i:54028 

Zhang, Guo Qiang * Logic of domains. 92m:68075 


54A10 Several topologies on one set (change of topology, 
comparison of topologies, lattices of topologies) 


Andrijevi¢é, D. (with Ganster, Maximilian) On PO-equivalent topologies. 92i:54004 

Bankston, Paul (with McCoy, Robert A.) H-enrichments of topologies. 92m:54002 

Dintsch, Ivo see Rao, K. P. S. Bhaskara 

Ganster, Maximilian see Andrijevi¢, D., 92i:54004 

Grant, Douglass L. (with Reilly, Ivan L.) Spaces in which a bound on cardinality implies 
discreteness. 92b:54002 

Hamlett, T. R. see Rose, David A., 92j:54001 

Jankovi¢, Dragan S. see Rose, David A. 

Kohli, J. K. Change of topology, characterizations and product theorems for semilocally P- 
spaces. 92m:54003 

McCoy, Robert A. see Bankston, Paul, 92m:54002 

Rao, K. P.S. Bhaskara (with Diintsch, Ivo) Complementation in the lattice of regular 
topologies. 

Reilly, Ivan L. see Grant, Douglass L., 92b:54002 

Rose, David A. (with Hamlett, T. R.) Ideally equivalent topologies and semitopological 
properties. 92j:54001 

— (with Jankovié, Dragan S.) An observation for simple expansions. 

Saint-Pierre, Jean Un lusinien pour lequel il n’existe pas de topologie métrisable moins fine. 
[A Luzin space for which no less fine metrizable topology exists] 92d:54003 


Items with secondary classifications in 54A10 

Abd El-Monsef, M. E. see Mahmoud, R. A., 92b:54001 

Arya, Shashi Prabha (with Nour, T. M.) Weakly semi-Ro spaces. 92c:54027 

Basu, C. K. see Mukherjee, M. N., 92k:54015 

Bella, Angelo (with Charatonik, Janusz J.; Omiljanowski, K.) Connectivity properties and a 
change of the topology. (Serbo-Croatian summary) 92k:54021 

Cammaroto, Filippo (with Melidoni, Gregoria) A note on d-connectivity property. (Serbo- 
Croatian summary) 92k:54022 

Charatonik, Janusz J. see Bella, Angelo; et al., 92k:54021 

Ciesielski, Krzysztof (with Larson, Lee M.) The density topology is not generated. 
92d:26004 

Henriksen, Melvin (with Kopperman, Ralph) A general theory of structure spaces with 
applications to spaces of prime ideals. 92j:14001 

Kopperman, Ralph see Henriksen, Melvin, 92j:14001 

Larson, Lee M. see Ciesielski, Krzysztof, 92d:26004 

Mahmoud, R. A. (with Abd El-Monsef, M.E.) £-irresolute and £-topological invariant. 
92b:54001 

Melidoni, Gregoria see Cammaroto, Filippo, 92k:54022 

Mukherjee, M. N. (with Basu, C.K.) 0-equivalent spaces—a new approach to ro- 
equivalent spaces and semi-regular properties. 92k:54015 

Noiri, Takashi (with Popa, Valeriu) Weak forms of faint continuity. 92b:54021 

Nour, T. M. see Arya, Shashi Prabha, 92c:54027 

Ogata, Hayao Operations on topological spaces and associated topology. 92¢:54004 

Omiljanowski, K. see Bella, Angelo; et al., 92k:54021 

Popa, Valeriu see Noiri, Takashi, 92b:54021 


54A15 Syntopogeneous structures 


Items with secondary classifications in 54A15 


Chung, S. H. Almost a-convex quasi-ordered syntopogenous spaces. 92m:54059 
Csaszar, A. Extensions of closure and proximity spaces. 92e:54025 


GENERAL TOPOLOGY 


54A25 


Mashhour, Ali S. (with Morsi, Nehad N.; Tantawy, O. A.) Fuzzy neighbourhood syntopoge- 
nous structures. 92j:54007 

Morsi, Nehad N. see Mashhour, Ali S.; et al., 92j:54007 

Tantawy, O. A. see Mashhour, Ali S.; et al., 92j:54007 


54A20 Convergence in general topology (sequences, filters, limits, 
convergence spaces, etc.) 


Ahmad, Mansoor A note on topological spaces. 92j:54002 

Borsik, Jan On certain types of convergences. (Slovak summary) 92m:54004 

Deville, Robert Convergence ponctuelle et uniforme sur un espace compact. (English and 
Russian summaries) [Pointwise and uniform convergence on a compact space] 92f:54002 

de Eguino, Raquel Ruiz see Kent, Darrell C., 92m:54005 

Fri¢, Roman Rationals with exotic convergences. II. 92f:54003 

Gahler, Werner Generalized convergence groups. 92k:54002 

Kent, Darrell C. (with de Eguino, Raquel Ruiz) On p-regular completions of Cauchy spaces. 
92m:54005 

Malykhin, V. I. The sequentiality and the Fréchet-Urysohn property with respect to 
ultrafilters. 92h:54006 

Mihail, Alexandru Abstract convergent filters. 92j:54003 

Naimpally, Somashekhar (with Tikoo, Mohan L.) Nearness convergence. 92¢:54002 

Tikeo, Mohan L. see Naimpally, Somashekhar, 92e:54002 

Trombetta, Maurizio On the deducibility of chain-convergences from topologies. (Italian. 
English summary) 92b:54003 


Items with secondary classifications in 54A20 

Bukovsk4, Zuzana (with Salat, Tibor) Some types of convergence of sequences of real- 
valued functions. (Russian and Slovak summaries) 92k:26016 

— Quasinormal convergence. 92k:26015 

Erné, Marcel (with Vainio, R.) Connectivity in lattice-ordered spaces. 92h:06007 

Hola, Labica (with Salat, Tibor) Graph convergence, uniform, quasi-uniform and 
continuous convergence and some characterizations of compactness. (Russian and Slovak 
summaries) 92b:54029 

MardeSié, Sibe (with Watanabe, Tadashi*) Approximate resolutions of spaces and 
mappings. (Serbo-Croatian summary) 92b:54019 

Molchanov, V. A. Nonstandard varieties of pseudotopological algebraic systems. (Russian) 
92m:03100 

Preuss, Gerhard Improvement of Cauchy spaces. 92i:54015 

Salat, Tibor see Hold, Lubica, 92b:54029 and Bukovska, Zuzana, 92k:26016 

Sipos, Jan Primitive idempotents in c ‘gence semigroups. (Russian summary) 
92f:22004 

Vainio, R. see Erné, Marcel, 92h:06007 

Watanabe, Tadashi‘ see Mardedi¢, Sibe, 92b:54019 

Weck-Schwarz, Sibylle 7 )-objects and separated objects in topological categories. 
92g:54011 





54A25 Cardinality properties (cardinal functions and inequalities, 
discrete subsets) [see also 03Exx, 04A30] {For 
ultrafilters, see 54D80.} 


Alas, Ofelia T. (with Wilson, Richard Gordon) Some results concerning the tightness of 
chain-net spaces. 92d:54004 

Bella, Angelo Some consequences of an easy cardinal inequality involving separating open 
covers. (Italian summary) 92j:54004 

— Tightness and splittability. (Serbo-Croatian summary) 92h:54007 

— (with Cammaroto, Filippo; Kotéinac, Ljubisa) Remarks on splittability of topological 
spaces. 92b:54004 

Cammaroto, Filippo see Bella, Angelo; et al., 92b:54004 

Choo, Koo Guan see Sun, Shu Hao, 92b:54005 

Collins, P. J. (with Reed, George M.; Roscoe, A. W.) The point-countable base problem. 
(see 92¢:54001) 

Dow, Alan A wild Fréchet space. 92k:54003 

Ergun, N. Notes on X,-Lindeléf spaces. (Italian summary) 92g:54002 

Garcia-Ferreira, Salvador On FU(p)-spaces and p-sequential spaces. 92m:54006 

Juhasz, I. On a problem of van Douwen. 92¢:54003 

Kotinac, Ljubisa A class of mappings and cardinal functions. (Serbo-Croatian summary) 
92i:54005 

— see also Bella, Angelo; et al., 92b:54004 

La, Jian Ke (with Wang, Xiao Lin) The weighted pseudocenter and pseudoradius of a point 
set. (Chinese. English summary) 

Marciszewski, Witold Order types, calibres and spread of Corson compacta. 92i:54006 

Reed, George M. see Collins, P. J.; et al., (92c:54001) 

Reznichenko, E. A. A pseudocompact space in which only the subsets of not full cardinality 
are not closed and not discrete. (Russian) 92c:54006 

Roscoe, A. W. see Collins, P. J.; et al., (92c:54001) 

Schréder, Joachim Cardinality of 0-closure. 92m:54007 

Sun, Shu Hao (with Choo, Koo Guan) Some new cardinal inequalities involving a cardinal 
function less than the spread and the density. 92b:54005 

Wang, Xiao Lin see Lu, Jian Ke; et al. 

Wilson, Richard Gordon see Alas, Ofelia T., 92d:54004 

Woéniakowska, Anna On the quasi-uniform convergence on dense sets. (Russian and Polish 
summaries) 92k:54004 

Yakivchik, A. N. On the diagonal number of topological spaces. (Russian) 92b:54006 

Yashchenko, I. V. Cardinality of discrete families of open sets and one-to-one continuous 
mappings. 


Items with secondary classifications in 54A25 


Arkhangel'skii, A. V. (with Bella, Angelo; Cammaroto, Filippo) Weak monolithicity, 
pseudoradial and weakly radial spaces. (Italian summary) 92k:54028 





54A25 


Balcar, Bohuslav (with Simon, Petr) On minimal z-character of points in extremally 
disconnected compact spaces. 92j:03055 

Bella, Angelo More on the product of pseudo radial spaces. 92d:54008 

— see also Arkhangel'skii, A. V.; et al., 92k:54028 

Bobkov, L. Yu. About the coincidence of weight and network weight for mappings. (Serbo- 
Croatian summary) 92h:54020 

Cammaroto, Filippo see Arkhangel’skii, A. V.; et al., 92k:54028 

Choo, Koo Guan see Sun, Shu Hao, 92m:54066 

Comfort, W. W. (with van Mill, Jan) Some topological groups with, and some without, 
proper dense subgroups. 92h:54050 

Coutant, Basil Some cardinal function relationships between C,(X) and finite powers of a 
space X. 92j:54018 

Dikranjan, Dikran N. (with Shakhmatov, D. B.) Pseudocompact topologizations of groups. 
(Serbo-Croatian summary) 92k:54043 

Dougherty, Daniel J. A strong Baire category theorem for products. 92f:54033 

van Douwen, Eric K. (with Reed, George M.) On chain conditions in Moore spaces. II. 
924:54035 

Dow, Alan A compact sequential space. 92:54027 

Fleissner, William G. (with Porter, Jack R.) The set of nonuniform ultrafilters is C*- 
embedded for singular cardinals. 92¢:54021 

Fremlin, D. H. Families of compact sets and Tukey’s ordering. 92¢:54032 

Gao, Yin Zhu Almost second countable spaces, almost first countable spaces and almost 
separable spaces. (Chinese summary) 

Gordienko, I. Yu. Two theorems on relative cardinal invariants in C,-theory. (Serbo- 
Croatian summary) 92h:54022 

Hofmann, Kari Heinrich (with Morris, Sidney A.) Weight and c. 92g:22011 

Jayanthan, A. J. Derived length for arbitrary topological spaces. 

Keremedis, Kyriakos (with Sanderson, D. E.) A version of the topological form of GMA 
(q@-centered). 92¢:03080 

— A topological characterization of GCH. 92b:04003 

Kotinac, Ljubisa On (M, P)-splittability of topological spaces. 92h:54015 

— Acharacterization of w,-metrizable spaces. (Serbo-Croatian summary) 92h:54037 

Kombarov, A. P. Pseudonormality of F,-subsets of X? . A. (Russian) 92e:54017 

Liu, Lao Fei Open, compact, continuous mappings and g-point finite bases. (Chinese. 
English summary) 924:54021 

Malykhin, V. I. The sequentiality and the Fréchet-Urysohn property with respect to 
ultrafilters. 92h:54006 

Marciszewski, Witold On properties of Rosenthal compacta. 92i:54023 

van Mill, Jan see Comfort, W. W., 92h:54050 

Morris, Sidney A. see Hofmann, Karl Heinrich, 92g:22011 

Muthuvel, Kandasamy Nowhere dense set mappings on the generalized linear continua. 
92a:04007 

Porter, Jack R. see Fleissner, William G., 92c:54021 

Reed, George M. see van Douwen, Eric K., 924:54035 

Sanderson, D. E. see Keremedis, Kyriakos, 92e:03080 

Shakhmatov, D. B. see Dikranjan, Dikran N., 92k:54043 

Shelah, Saharon Cardinal arithmetic for skeptics. 92h:03071 

Simon, Petr Points in extremally disconnected compact spaces. 92f:54036 

— see also Balcar, Bohuslav, 92j:03055 

Sun, Shu Hao (with Choo, Koo Guan) New properties of the concentric circle space and its 
applications to cardinal inequalities. 92m:54066 

Tyugashov, G.S. #-stretched spaces. (Russian) 92h:54043 

Tzannes, V. A note on maximally resolvable spaces. 924:54037 


54A35 Consistency and independence results [see also 03E35] 


Baldwin, Stewart Possible point-open types of subsets of the reals. 92b:54007 

Dow, Alan (with Tall, Franklin D.; Weiss, William A. R.) New proofs of the consistency of 
the normal Moore space conjecture. I. 92b:54008a 

— (with Tall, Franklin D.; Weiss, William A. R.) New proofs of the consistency of the 
normal Moore space conjecture. II. 92b:54008b 

Tall, Franklin D. see Dow, Alan; et al., 92b:54008a and 92b:54008b 

Weiss, William A. R. see Dow, Alan; et al., 92b:54008a and 92b:54008b 

Zhu, Jian Ping The generalizations of first countable spaces. 92i:54007 


Items with secondary classifications in 54A35 


Daniels, Peg Normal k’-spaces are consistently collectionwise normal. 92g:54031 

van Douwen, Eric K. Nonnormality or hereditary paracompactness of some spaces of real 
functions. 92c:54018 

Dow, Alan A compact sequential space. 92f:54027 

— Awild Fréchet space. 92k:54003 

Gryzlov, A. A. On the theory of the space BN. (Russian) 92e:54023 

Weiss, William A. R. Partitioning the quadruples of topological spaces. 92g:05018 


54A40 Fuzzy topology [see also 04A72] 


Abd-Alla, M. A. see Ramadan, A. A., 92m:54020 

Abd El-Hakeim, K. M. see Allam, A. A.; et al., 92g:54004 and Fath Alla, M. A., 92i:54009 

Abd El-Monsef, M. E. (with Zeyada, F. M.; El-Deeb, S. N.; Hanafy, I. M.) Good extensions 
of paracompactness. 

Ahsanullah, T. M.G. see Chakraborty, M. K., 92m:54011 

Ajmal, Naseem (with Tyagi, B. K.) On fuzzy almost continuous functions. 92g:54003 

— (with Kohli, J. K.) Connectedness and local connectedness in fuzzy topological spaces 
and Heyting-algebra-valued sets. 92m:54008 

Ali, Dewan Muslim A note on some FT? concepts. 92m:54009 

— see also Srivastava, Arun Kumar”, 92m:54022 

Allam, A. A. (with Abd El-Hakeim, K. M.; Morsi, Nehad N.) On fuzzy neighbourhood 
spaces. 92g:54004 

— (with Zahran, A.M.) Almost continuity and weakly continuity in bifuzzy topological 
spaces. 


GENERAL TOPOLOGY 


1992 908 


Bai, Yong Cheng The relation between nonfuzzy topological spaces and induced lattice- 
valued spaces. (Chinese. English summary) 

— (with Te, Gu Si) Connectivity of L-fuzzy unit intervals and L-fuzzy real lines. (Chinese. 
English summary) 

Bedre, Oya see Gilhan, Aslim; et al. 

Bin Shahna, Abdulla S. On fuzzy compactness and fuzzy Lindeléfness. 

— On fuzzy strong semicontinuity and fuzzy precontinuity. 92i:54008 

Blasco Mardones, N. (with Macho Stadler, Marta; De Prada Vicente, Ma. Angeles) On 
fuzzy compactifications. (Spanish) (see 92g:00024) 

— (with Macho Stadler, Marta; De Prada Vicente, Ma. Angeles) On fuzzy compactifica- 
tions. 92k:54005 

Burillo Lépez, Pedro J. (with Gonzalez, Leén A.) Uniformities associated with fuzzy 
relations. (Spanish) (see 92g:00024) 

Chadwick, J.J. A generalised form of compactness in fuzzy topological spaces. 92j:54005 

— Relative compactness and compactness of general subsets in an /-topological space. 
92m:54010 

Chakraborty, M. K. (with Ahsanullah, T. M.G.) Fuzzy topology on fuzzy sets and tolerance 
topology. 92m:54011 

Chattopadhyay, K.C. see Hazra, R. N.; et al., 92m:54013 

De Prada Vicente, Ma. Angeles see Blasco Mardones, N.; et al., 92k:54005; Macho Stadler, 
Marta, 92m:54017; (92b:00044); Blasco Mardones, N.; et al., (92g:00024) and Gutiérrez, 
Javier, (92m:00050) 

Diamond, Phil (with Kloeden, Peter) Corrigendum: “Metric spaces of fuzzy sets” [Fuzzy 
Sets and Systems 35 (1990), no. 2, 241-249; MR 91f:54004]. 

El-Deeb, S. N. see Abd El-Monsef, M. E.; et al. 

El-Shafee, M. E. see Kandil, A.; et al., 92m:54015 

Eroglu, Mehmet Sait Topological representation for fuzzy topological spaces. 92b:54009 

Ewert, Janina On normal fuzzy topological spaces. 92b:54010 

Fang, Jin Xuan On fixed point theorems in fuzzy metric spaces. 92m:54012 

Fath Alla, M. A. (with Abd El-Hakeim, K. M.) Mapping with fuzzy closed graphs and 
strongly fuzzy closed graphs. 92i:54009 

Ghanim, Mohammad H. (with Morsi, Nehad N.) Productivity of a-regularity in fuzzy 
topology. 

— Pseudo-closure operators in fuzzy topological spaces. 92b:54011 

Ghosh, Banamali see Mukherjee, M. N., 92h:54008 and 92k:54008 

Gonzalez, Leén A. see Burillo Lépez, Pedro J., (92g:00024) 

Gilhan, Aslim (with Tan, Eftal; Bedre, Oya) On some generalizations of fuzzy almost 
continuity. 

Gutiérrez, Javier (with De Prada Vicente, Ma. Angeles) A note on fuzzy compactness. 
(Spanish. English summary) (see 92m:00050) 

Hanafy, I. M. see Abd El-Monsef, M. E.; et al. 

Hazra, R.N. (with Samanta, S. K.; Chattopadhyay, K. C.) Fuzzy topology redefined. 
92m:54013 

He, Pei Jun The variational principle in fuzzy metric spaces and its applications. 
92m:54014 

Huo, Yi Qiu Fuzzy convexity-preserving mappings. (Chinese. English summary) 

Jankowska, A. Weak continuity of fuzzy-valued maps. (Serbo-Croatian summary) 
920:54004 

Jiang, Hua Biao see Xiao, Ping; et al. 

Kandil, A. (with El-Shafee, M. E.) Separation axioms for fuzzy bitopological spaces. 

— (with Kerre, Etienne E.; Nouh, A. A.; El-Shafee, M. E.) Fuzzy 0-perfect irreducible 
mappings and fuzzy 6-proximity spaces. 92m:54015 

Katsaras, A. K. Operations on fuzzy syntopogenous structures. 92k:54006 

— Completeness in linear fuzzy neighborhood spaces. 92b:54012 

Kerre, Etienne E. (with Ottoy, P. L.) On a-generated fuzzy topologies. 92b:54013 

— see also Kandil, A.; et al., 92m:54015 

Klawonn, F. Fuzzy unit interval and fuzzy paths. 92m:54016 

Kloeden, Peter Chaotic iterations of fuzzy sets. 92j:54006 

— see also Diamond, Phil 

Kohli, J. K. see Ajmal, Naseem, 92m:54008 

Li, Yong Ming The theory of L-fuzzy closed graphs and strong closed graphs. (Chinese. 
English summary) 

Liu, Wang Jin (with Mo, Zhi Wen) Preordered fuzzy syntopogenous spaces. (Chinese. 
English summary) 

— see also Xie, Xian Zhong; et al. 

Liu, Ying Ming (with Luo, Mao Kang) Lattice-valued mappings, completely distributive 
law and induced spaces. 92f:54004 

Lowen, Robert see Lowen-Colebunders, Eva; et al., 92f:54005 

Lowen-Colebunders, Eva (with Lowen, Robert; Wuyts, P.) The categorical topology 
approach to fuzzy topology and fuzzy convergence. 92f:54005 

Luo, Mao Kang see Liu, Ying Ming, 92f:54004 

Macho Stadler, Marta (with De Prada Vicente, Ma. Angeles) On the convergence of 
prefilters in fuzzy topological spaces. (Spanish. English summary) (see 92b:00044) 

— (with De Prada Vicente, Ma. Angeles) Strong separation and strong countability in fuzzy 
topological spaces. 92m:54017 

— see also Blasco Mardones, N.; et al., 92k:54005 and (92g:00024) 

Malakar, S. On fuzzy semi-irresolute and strongly irresolute functions. 92m:54018 

— see also Mukherjee, M. N., 924:54005 

Mashhour, Ali S. (with Morsi, Nehad N.; Tantawy, O. A.) Fuzzy neighbourhood syntopoge- 
nous structures. 92j:54007 

— (with Morsi, Nehad N.) On regularity axioms in fuzzy neighbourhood spaces. 92k:54007 

Meng, Guang Wu Some kinds of compactness in L-fuzzy topological spaces. (Chinese. 
English summary) 

Min, Kyung Chan Fuzzy p-limit spaces. 92m:54019 

Mo, Zhi Wen see Liu, Wang Jin; et al. 

Morsi, Nehad N. The Urysohn lemma for fuzzy neighbourhood spaces. 92i:54010 

— Dual fuzzy neighbourhood spaces. I. 92i:54011 

— see also Allam, A. A.; et al., 92g:54004; Mashhour, Ali S.; et al., 92j:54007; 92k:54007 and 
Ghanim, Mohammad H. 





909 1992 


Mukherjee, M. N. (with Malakar, S.) On almost continuous and weakly continuous fuzzy 
multifunctions. 92d:54005 

— (with Ghosh, Banamali) On nearly compact and 6-rigid fuzzy sets in fuzzy topological 
spaces. 92h:54008 

— (with Ghosh, Banamali) Fuzzy semiregularization topologies and fuzzy submaximal 
spaces. 9 

Nanda, Sudarsan Strongly compact fuzzy topological spaces. 92f:54006 

Nouh, A. A. see Kandil, A.; et al., 92m:54015 

Ottoy, P. L. see Kerre, Etienne E., 92b:54013 

Petriéevi¢é, Zlata Some separation axioms in fuzzy space. (Serbo-Croatian summary) 
92h:54009 

— On fuzzy semiregularization, separation properties and mappings. 

Prakash, Niti see Singal, M. K., 92j:54009 

Ramadan, A. A. (with Abd-Alla, M. A.) On smooth preproximity spaces. 92m:54020 

Rodabaugh, Stephen Ernest Point-set lattice-theoretic topology. 92d:54006 

Samanta, S. K. Fuzzy nearness structure. 92i:54012 

— see also Hazra, R. N.; et al., 92m:54013 

Shang, Hu see Wa, Cong Xin; et al. 

Shi, Fu Gui Fuzzy derived operators induced by ordinary derived operators and fuzzy 
topologies induced by fuzzy derived operators. (Chinese. English summary) 

Shostak, A. P. Topological properties of a fuzzy space as location properties of its fuzzy 
topology in the Tychonoff cube. (Russian and Latvian summaries) 92f:54007 

— On the neighborhood structure of fuzzy topological spaces. (Serbo-Croatian summary) 
92m:54021 

— see also Shteinbuk, V. B., 92j:54008 

Shteinbuk, V. B. (with Shostak, A. P.) On semigroups of continuous transformations of 
fuzzily structured sets. 92j:54008 

Shu, Lan Boundedness of L-fuzzy syntopogenous structures. (Chinese. English summary) 

Singal, M. K. (with Prakash, Niti) Fuzzy preopen sets and fuzzy preseparation axioms. 
92j:54009 

Sinha, Santi Prasad Fuzzy normality and some of its weaker forms. 92f:54008 

— A note on fuzzy almost compactness. 

Srivastava, Arun Kumar* (with Ali, Dewan Muslim) A note on K. K. Azad’s fuzzy 
Hausdorffness concept. 92m:54022 

Tan, Eftal see Gilhan, Aslim; et al. 

Tantawy, O. A. see Mashhour, Ali S.; et al., 92j:54007 

Te, Gu Si see Bai, Yong Cheng; et al. 

Tyagi, B. K. see Ajmal, Naseem, 92g:54003 

Wang, En Yuan A generalization of L-fuzzy continuous order-homeomorphisms. (Chinese. 
English summary) 

Wang, Ge Ping /(L)-valued semicontinuous mappings and a new class of induced spaces. 
(Chinese. English summary) 92a:54005 

— Induced /(L)-fuzzy topological spaces. 92k:54009 

Warner, M. W. Frame-fuzzy points and membership. 92g:54005 

Wu, Cong Xin (with Shang, Hu) Fuzzy uniformization and fuzzy metrization of fuzzy 
topological groups of type (QU). (Chinese) 

— (with Wu, Jian Rong”) Quasipseud rization of fuzzy bitopological spaces. (Chinese. 
English summary) 

Wu, Guang Qing (with Zheng, Chong You) Fuzzy boundary and characteristic properties of 
order-homomorphisms. 92b:54014 

Wa, Jian Rong” see Wu, Cong Xin; et al. 

Wu, Meng Da Convergence of fuzzy series in. %(R™). (Chinese. English summary) 
92m:54023 

Wuyts, P. On Ro and R;, fuzzy topological spaces: a counterexample. 

— see also Lowen-Colebunders, Eva; et al., 92f:54005 

Xiao, Ping (with Jiang, Hua Biao) Fuzzy semi-open sets and semiseparation axioms. 
(Chinese. English summary) 

Xie, Xian Zhong (with Liu, Wang Jin) L-fuzzy C quasi-uniform structures. (Chinese. 
English summary) 

Xu, Jian Jun? Multiplicativity of local F-compactness in L-fuzzy topological spaces. 
(Chinese. English summary) 

Xu, Luo Shan The strong Hausdorff separation property in L-fuzzy topological spaces. 
(Chinese. English summary) 92k:54010 

Xu, Xiao Quan Sheaf structures of N-compact sets and fuzzy Wallace theorem. 92h:54010 

— Sheaf structures of N-compact sets and the fuzzy Wallace theorem. (Chinese) 92j:54010 

Yi, Yun Level structures of fuzzy topology. (Chinese) 

Ying, Ming Sheng A new approach for fuzzy topology. I. 92b:54015 

Zahran, A.M. see Allam, A. A. 

Zeyada, F.M. see Abd El-Monsef, M. E.; et al. 

Zhao, Bin Weight, character and density of induced space. 

Zhao, De Qi Fuzzy topology—lattice topology—latticelyzed topology. 

Zheng, Chong You see Wu, Guang Qing, 92b:54014 

Zhou, Fei Yue The relative interiors of convex fuzzy sets under induced fuzzy topology. 
92k:54011 

Zhou, Zhi Xiu A nonfuzzy topological model for N-compactness. (Chinese. English 
summary) 92j:54011 


Items with secondary classifications in 54A40 

Deng, Ju Long The point-set topological properties of grey series. 92¢:04006 

Deng, Zi Ke De Morgan algebra of topology. I. (Chinese summary) 

lino, Riichi A guide to fuzzy mathematics. (Japanese. English summary) 92h:04006 

Kubiak, Tomasz A quotient of the Helly space which is AR(normal). 92g:54019 

Liu, Ying Ming (with Luo, Mao Kang; Peng, Qian) Analytic and topological characteriza- 
tions of completely distributive law. 92e:06022 

Luo, Mao Kang see Liu, Ying Ming; et al., 92e:06022 

Majumdar, Subrata Theory of fuzzy modules. 

Mohedano Salillas, Ma. Victoria L-fuzzy relations and uniformities. (Spanish. English 
summary) (see 92b:00044) 

Peng, Qian see Liu, Ying Ming; et al., 92e:06022 

Richter, Ginther Axiomatizing the category of compact Hausdorff spaces. 92m:54024 





54B Basic constructions 


54A99 None of the above, but in this section 


Dolecki, Szymon (with Greco, Gabriele H.; Lechicki, Alojzy) Sur la topologie de la 
convergence supérieure de Kuratowski. (English summary) [On the topology of the upper 
Kuratowski convergence] 92c:54007 

Domenech Blazquez, Margarita (with Rossell i Garriga, Josep Maria; Rubid i Diaz, Pedro) 
Metatopologies. (Spanish) (see 92b:00044) 

Ergun, N. A note on Euclidean balls. (Turkish summary) 92¢:54008 

Greco, Gabriele H. see Dolecki, Szymon; et al., 92c:54007 

Lechicki, Alojzy see Dolecki, Szymon; et al., 92c:54007 

Li, Hou Yuan Some properties of semi-topological subsets. (Chinese. English summary) 
92g:54006 

Li, Jin Jin su-closed spaces. (Chinese. English summary) 

Liu, Guang Yun Hypertopology on an open-set noose space. (Chinese. English summary) 

Ogata, Hayao Remarks on operation-compact spaces. 92e:54004 

Rossell i Garriga, Josep Maria see Domenech Blazquez, Margarita; et al., (92b:00044) 

Rubi6 i Diaz, Pedro see Domenech Biazquez, Margarita; et al., (92b:00044) 

Suyalatu Derived semitopological spaces. (Chinese. English summary) 

Tapi, U. D. Boolean topology. 


Items with secondary classifications in 54A99 

Ahmad, Bashir (with Khan, Moizuddin) On semi-boundary in topological spaces. 

Fife, James H. The Kuratowski closure-complement problem. 924:54002 

Gémez, Francisco The number of generators of the algebra of Kahler differentials. 
92b:13036 

Khan, Moizuddin see Ahmad, Bashir 

Kong, T. Yung (with Litherland, R.; Rosenfeld, Azriel) Problems in the topology of binary 
digital images. (see 92c:54001) 

Litherland, R. see Kong, T. Yung; et al., (92c:54001) 

Requejo Fernandez, Batildo Schemes over topological spaces. (Spanish. English summary) 
(see 92b:00044) 

Rosenfeld, Azriel see Kong, T. Yung; et al., (92c:54001) 

Sorkin, Rafael D. Finitary substitute for continuous topology. 92g:83026 

Wybraniec-Skardowska, Urszula On a generalization of approximation space. (Russian 
summary) 92e:04008 


54Bxx Basic constructions 


54B05 Subspaces 


Items with secondary classifications in 54B05 


Dorsett, Charles Subspaces and product spaces of semi separation axioms. 

Ganster, Maximilian On strongly s-regular spaces. (Serbo-Croatian summary) 92f:54018 

Jankovié, Dragan S. see Rose, David A. 

Kulesza, John A two-point set must be zero-dimensional. 92m:54064 

Repovs, Dugan Shrinking 0-dimensional cell-like decompositions of 3-manifolds. (Russian 
summary) 92¢c:57017 

Rose, David A. (with Jankovié, Dragan S.) An observation for simple expansions. 


54B10 Product spaces 


Alster, K. On the Cartesian products of Lindeléf spaces with one factor hereditarily 
Lindeléf. 92k:54012 

Atamanyuk, B. V. Representation of = x s in the form of an infinite iterated hyperspace of 
noncompact Polish spaces. (Russian) 924:54007 

Bella, Angelo More on the product of pseudo radial spaces. 924:54008 

Stone, A. H. Finite unions of locally nice spaces. 92j:54012 

Tanaka, Yoshio Necessary and sufficient conditions for products of k-spaces. 92e:54005 

Teng, Hui o-products. (Chinese. English summary) 92b:54016 

— Ona problem of Y. Yajima. 924:54009 

Yajima, Yukinobu Some advances in the study of the normality of Z-products. 92g:54007 


Items with secondary classifications in 54B10 

Collins, P. J. Uniform topologies on function spaces and topologies on power sets. 
92j:54013 

Dorsett, Charles Subspaces and product spaces of semi separation axioms. 

Dougherty, Daniel J. A strong Baire category theorem for products. 92f:54033 

van Douwen, Eric K. (with Reed, George M.) On chain conditions in Moore spaces. II. 
924d:54035 

Ganster, Maximilian On strongly s-regular spaces. (Serbo-Croatian summary) 92f:54018 

Hohti, Aarno (with Pelant, Jan) On supercomplete uniform spaces. IV. Countable products. 
92g:54037 

— On supercomplete uniform spaces. V. Tamano’s product problem. 92g:54038 

Kennedy, Judy Infinite products of Cook continua. 92b:54071 

Kohli, J. K. Change of topology, characterizations and product theorems for semilocally P- 
spaces. 92m:54003 

Lin, Shou Countable products of Lashnev spaces. (Chinese. English summary) 92d:54041 

Pelant, Jan see Hohti, Aarno, 92g:54037 

Reed, George M. see van Douwen, Eric K., 92d:54035 


54B15 Quotient spaces, decompositions 


Diamond, Beverly Wallman prebases. 92¢:54006 
Raha, Asit Baran Abundance of spaces akin to S,,. 92i:54013 


Items with secondary classifications in 54B15 


Bell, Murray G. Not all dyadic spaces are supercompact. 92¢:54029 
Dana Jiménez, Juan C. (with Marquez, Alberto) Codification of figures in R?. (Spanish. 
English summary) (see 92m:00050) 





54B15 


Daverman, Robert J. Manifolds with finite first homology as codimension 2 fibrators. 
92a:55015 

Garity, Dennis J. Thin codimension-one decompositions of R”. 92h:57032 

Lipscomb, Stephen L. (with Perry, J.C.) Lipscomb’s L(A) space fractalized in Hilbert’s 
[?(A) space. 92j:54051 

Marquez, Alberto see Dana Jiménez, Juan C., (92m:00050) 

Mitchell, W. J. R. (with Repovs, Dusan) The topology of cell-like mappings. 92f:54012 

Perry, J.C. see Lipscomb, Stephen L., 92j:54051 

Repovs, Dugan see Mitchell, W. J. R., 92f:54012 

Stone, A. H. Finite unions of locally nice spaces. 92j:54012 

Wiweger, Antoni On topological rough sets. (Russian summary) 92h:54005 


54B17 Adjunction spaces and similar constructions 
Moszytiska, Maria On metric inverse limits. 924:54010 


Items with secondary classifications in 54B17 

Atamanyuk, B. V. Representation of = x s in the form of an infinite iterated hyperspace of 
noncompact Polish spaces. (Russian) 924:54007 

Katz, Elyahu (with Morris, Sidney A.; Nickolas, Peter) Free abelian topological groups and 
adjunction spaces. 92a:54032 

Morris, Sidney A. see Katz, Elyahu; et al., 92a:54032 

Nickolas, Peter see Katz, Elyahu; et al., 92a:54032 


54B20 Hyperspaces 


Beer, Gerald A. A Polish topology for the closed subsets of a Polish space. 92¢:54009 

Cammaroto, Filippo (with Cerin, Zvonko; Gianella, Gian Mario) Topologies on spaces of 
subsets. 92h:54011 

Cao, Ji Ling On hyperspace topologies of some quasiuniform spaces. (Chinese summary) 

Cerin, Zvonko see Cammaroto, Filippo; et al., 92h:54011 

Collins, P. J. Uniform topologies on function spaces and topologies on power sets. 
92j:54013 

Di Bari, Cristina M. (with Giovannelli, Nicolo) Weakly normal topological spaces and 
upper semicontinuous functions. (Italian. English summary) 92g:54008 

Fedorchuk, V. V. Completions of functional spaces and multivalued mappings. (Serbo- 
Croatian summary) 92h:54012 

Gianella, Gian Mario see Cammaroto, Filippo; et al., 92h:54011 

Giovannelli, Nicolo see Di Bari, Cristina M., 92g:54008 

Heindorf, Lutz Boolean semigroup rings and exponentials of compact zero-dimensional 
spaces. 92c:54010 

Hosokawa, Hiroshi Mappings of hyperspaces induced by refinable mappings. 92a:54006 

IManes, Alejandro The space of Whitney levels. 92i:54014 

Kato, Hisao On some sequential strong Whitney-reversible properties. (Russian summary) 
92e:54007 

Laguna, V.F. (with Morén, M. A.; Sanjurjo, José M. R.) Generalized refinable maps and 
images of FANRs. 92g:54009 

Lonéar, Ivan Hyperspace of the approximate inverse limit. (Serbo-Croatian summary) 

Lynch, Mark Whitney levels and certain order arc spaces. 92d:54011 

Mirzakhanyan, R. E. A triple of infinite iterations of a functor of an inclusion hyperspace— 
a fiberwise version. (Russian) 92d:54012 

Moiseev, E. V. Fibrations of spaces of closed hyperspaces of growth and inclusion. 
(Russian) 92¢:54008 

Morén, M. A. see Laguna, V. F.; et al., 92g:54009 

Nadler, Sam B., Jr. e-selections. 92c:54011 

Naimpally, Somashekhar Hyperspaces and function spaces. 92a:54007 

Ogorodnikova, I. E. Infinite iterations of perfectly metrizable monads. (Russian) 92b:54017 

Sanjurjo, José M. R. see Laguna, V. F.; et al., 92g:54009 

Shapiro, L. B. On the homogeneity of hyperspaces of dyadic compact Hausdorff spaces. 
(Russian) 92d:54013 

Sharma, Prem Lal Hyperspace topologies and some selection theorems. 924:54014 


Items with secondary classifications in 54B20 

Beer, Gerald A. (with Tamaki, Robert) Function spaces and the Mosco topology. 
92b:54027 

— (with Di Concilio, Anna) A generalization of boundedly compact metric spaces. 
92m:54051 

Cauty, Robert L’espace des pseudo-arcs d’une surface. (English summary) [The space of 
pseudo-arcs of a surface] 92j:57011 

— L’espace des arcs d’une surface. (English summary) [The space of arcs of a surface] 
92j:57012 

Di Concilio, Anna see Beer, Gerald A., 92m:54051 

Hold, Labica (with Neubrunn, Tibor) Hausdorff distance and the structure of certain 
function spaces. 92b:54028 

— The Attouch-Wets topology and a characterisation of normable linear spaces. 92f:54013 

Neubrunn, Tibor see Hold, Lubica, 92b:54028 

Ta Khac Cu Direct limits which are Hilbert spaces. 92h:57033 

Tamaki, Robert see Beer, Gerald A., 92b:54027 


54B30 Categorical methods [see also 18B30] 


Adamek, Jifi On quasitopos hulls of topological categories. 92g:54010 

Cagliari, Francesca (with Mantovani, Sandra) Local homeomorphisms as the exponentiable 
morphisms in compact Hausdorff spaces. 92j:54014 

Mantovani, Sandra see Cagliari, Francesca, 92j:54014 

Preuss, Gerhard Improvement of Cauchy spaces. 92i:54015 

Richter, Giinther Axiomatizing the category of compact Hausdorff spaces. 92m:54024 

Weck-Schwarz, Sibylle 7p-objects and separated objects in topological categories. 
92g:54011 


GENERAL TOPOLOGY 


Items with secondary classifications in 54B30 

Bargenda, Hubertus W. (with Vajner, V.) A fibre-functor characterization of topological 
categories with pullback-stability. 92j:18001 

Cintura, Juraj Closed structures on reflective subcategories of the category of topological 
spaces. 92b:18008 

— Cartesian closed coreflective subcategories of the category of topological spaces. 
92m:18013 

Eklund, Patrik (with Gahler, Werner) Generalized Cauchy spaces. 92g:54036 

Erné, Marcel Residuated completions of generalized semitopological semigroups. 
92a:06005 

Fedorchuk, V. V. On some geometric properties of functors. 92g:54041 

Frié, Roman (with Kent, Darrell C.) The finite product theorem for certain epireflections. 
92d:54029 

Gahler, Werner see Eklund, Patrik, 92g:54036 

Giuli, Eraldo (with Simon, Petr) On spaces in which every bounded subset is Hausdorff. 
92b:54043 

— A generalization of compactness and perfectness. 92k:54024 

Isbell, John On dissolute spaces. 92d:18002 

Kent, Darrell C. see Frit, Roman, 92d:54029 

Lamban Pardo, Laureano A. The category of sequential spaces. (Spanish) (see 92g:00024) 

Leseberg, Dieter Zur Theorie limesformer Raume. I. [On the theory of limform spaces. I] 
92g:54039 

— Zur Theorie limesformer Raume. II. [On the theory of limit form spaces. II] 92k:54001 

— Clanformities and h-topological extensions. 92k:54030 

Lowen-Colebunders, Eva (with Szabo, Z.G.) Simplicity of categories defined by symmetry 
axioms. 92h:54004 

Makai, Endre, Jr. The full embeddings of the categories of uniform spaces, proximity 
spaces and related categories into themselves and each other. I. 92g:18005 

Megrelishvili, M.G. Compactification and factorization in the category of G-spaces. 
92¢:54031 

Mirzakhanyan, R. E. A triple of infinite iterations of a functor of an inclusion hyperspace— 
a fiberwise version. (Russian) 924:54012 

Nel, Louis Daniel’ * Introduction to categorical methods. Part 1, 2. 92j:46132a 

Ogorodnikova, I. E. Infinite iterations of perfectly metrizable monads. (Russian) 92b:54017 

Paseka, Jan Paracompact locales and metric spaces. 92e:54020 

Radul, T. N. The monad of inclusion hyperspaces and its algebras. (Russian. Ukrainian 
summary) 92b:18005 

Richter, Ginther Characterizations of algebraic and varietal categories of topological 
spaces. 92k:18004 

Schwanzl, R. (with Vogt, R. M.) The categories of A,.- and E,,-monoids and ring spaces as 
closed simplicial and topological model categories. 92b:18006 

Simon, Petr see Giuli, Eraldo, 92b:54043 

Szab6, Z.G. see Lowen-Colebunders, Eva, 92h:54004 

Vajner, V. see Bargenda, Hubertus W., 92j:18001 

Vogt, R. M. see Schwinzl, R., 92b:18006 

Weck-Schwarz, Sibylle Cartesian closed topological and monotopological hulls: a compari- 
son. 92c:18010 

Zarichnyi, M. M. On covariant topological functors. II. 92i:18004 


54B35 Spectra 


Borubaev, A. A. Decomposition of uniform spaces into inverse spectra. (Russian) 
92k:54013 

Hladnik, Milan Inverse limits and their applications. (Slovenian. English summary) 

Kim, Dok Yong Remarks on maps of inverse limits. 92a:54008 

Lonéar, Ivan Resolutions and infinite-di lity. 92b:54018 

MardeSi¢, Sibe (with Watanabe, Tadashi*) Approximate resolutions of spaces and 
mappings. (Serbo-Croatian summary) 92b:54019 

— Approximate inverse systems and approximate resolutions. 924:54015 

— Resolutions of spaces are strong expansions. 92k:54014 

Watanabe, Tadashi‘ Approximate resolutions and covering dimension. 924:54016 

— see also Marde3ié, Sibe, 92b:54019 





Items with secondary classifications in 54B35 
Fedorchuk, V. V. Probability measures in topology. (Russian) 92g:28014 
Henriksen, Melvin Spaces of prime ideals. 92g:14003 


Nikiel, Jacek A general theorem on inverse systems and their limits. (Russian summary) 
92m:18002 


Rubanov, I. A projective category for arbitrary commutative diagrams. (Russian. English 
and Latvian summaries) 92m:18009 


54B40 Presheaves and sheaves [see also 18F20] 


De Castro, Rodrigo (with Varela, Januario) Localization in bundles of uniform spaces. 
92h:54013 


Varela, Januario see De Castro, Rodrigo, 92h:54013 
54B99 None of the above, but in this section 
Items with secondary classifications in 54B99 


Requejo Fernandez, Batildo Schemes over topological spaces. (Spanish. English summary) 
(see 92b:00044) 


54Cxx Maps and general types of spaces defined by maps 





911 1992 


54C05 Continuous maps 


Di Maio, Giuseppe (with Naimpally, Somashekhar) Abstract measure of oscillation and 
extension of functions. 92j:54015 

Ergun, N. A note on compact preserving functions. (Turkish summary) 92f:54009 

Hosokawa, Hiroshi Refinable mappings of fans and a question of J. J. Charatonik, W. J. 
Charatonik and S. Miklos. 92m:54025 

— A restriction of a refinable mapping. 92m:54026 

Jayanthan, A. J. Derived length for arbitrary topological spaces. 

Kellum, Kenneth R. (with Rosen, Harvey) Compositions of continuous functions and 
connected functions. 92h:54014 

Kotinac, Ljubisa On (M, P)-splittability of topological spaces. 92h:54015 

Krtscha, Manfred (with Volkmann, Peter) Uber die Stetigkeit einer Funktion von zwei 
Veranderlichen unter M ie-Bedingungen. (English summary) [On the continuity of 
a function of two variables under conditions of monotonicity] 92m:54027 

Michael, Ernest A. Some problems. (see 92c:54001) 

Morishita, Kazuhiko The minimal support for a continuous functional on a function space. 
92e:54009 

Nagamizu, Toshihiro Joint continuity of mappings. 92m:54028 

Naimpally, Somashekhar see Di Maio, Giuseppe, 92j:54015 

Pershin, Yu. P. Contiguities and proximities on mappings. 7\-compactifications of 
mappings. (Serbo-Croatian summary) 92h:54016 

Piotrowski, Z. (with Wingler, E.) A note on continuity points of functions. 92f:54010 

Rosen, Harvey see Kellum, Kenneth R., 92h:54014 

Stein, J. D., Jr. Some observations on local uniform boundedness principles. 92i:54016 

Tseitlin, Ya. M. Approximation of separately continuous functions by continuous 
functions. (see 92d:28002) 

Volkmann, Peter see Krtscha, Manfred, 92m:54027 

Wingler, E. see Piotrowski, Z., 92f:54010 


Items with secondary classifications in 54C05 


Dube, K. K. (with Tiwari, R. K.; Panwar, O.S.) A note on pairwise K-continuous mapping. 

Hosokawa, Hiroshi Mappings of hyperspaces induced by refinable mappings. 922:54006 

Ishihara, Hajime Continuity and nondiscontinuity in constructive mathematics. 
92m:03096 

Kim, Dok Yong Remarks on maps of inverse limits. 92a:54008 

Kotinac, LjubiSa A class of mappings and cardinal functions. (Serbo-Croatian summary) 
92i:54005 

Kohli, J. K. Change of topology, characterizations and product theorems for semilocally P- 
spaces. 92m:54003 

Maligranda, Lech A remark on Dugundji theorem. (Spanish summary) 92¢:47125 

Messano, Basilio Continuous functions from an arcwise connected tree into itself: periodic 
points, global convergence, plus-global convergence. (Italian summary) 924:54048 

Neubrunnova, Anna Unifying principles in analysis and a compactness criterion. (Russian 
and Slovak summaries) 92k:26001 

Nikiel, Jacek (with Tuncali, H. M.; Tymchatyn, E. D.) A locally connected rim-countable 
continuum which is the continuous image of no arc. 92j:54046 

Panwar, O.S. see Dube, K. K.; et al. 

Popa, Valeriu On feebly continuous functions. (Romanian summary) 

Tiwari, R. K. see Dube, K. K.; et al. 

Tkachenko, M.G. Factorization theorems for topological groups and their applications. 
92e:54045 

Tuncali, H. M. see Nikiel, Jacek; et al., 92j:54046 

Tymchatyn, E. D. see Nikiel, Jacek; et al., 92j:54046 





54C08 Weak and generalized continuity 


Abd El-Monsef, M. E. (with Ghanim, Mohammad H.; Lashin, E. R.) Weak 8-continuous 
and weak 8-open mappings. (Arabic summary) 92a:54009 

Allam, A. A. see Mashhour, Ali S.; et al. 

Balachandran, Krishnan see Maki, H.; et al., 92j:54032a; 92j:54032b and Sundaram, P.; et 
al., 92j:54032c 

Basu, C.K. see Mukherjee, M. N., 92k:54015 

Borstk, Jaén (with Dobo’, Jozef) On decompositions of quasicontinuity. 92a:54010 

— (with DoboS, Jozef) On simple continuity points. 92h:54017 

Chew, James (with Tong, Jing Cheng) Some remarks on weak continuity. 92m:54029 

Dobo3, Jozef see Borsik, Jan, 92a:54010 and 92h:54017 

Dorsett, Charles New characterizations of generalized forms of continuity using semiregu- 
larization spaces and pre-open sets. 

El-Deeb, S. N. see Mashhour, Ali S.; et al. 

Ghanim, Mohammad H. see Abd El-Monsef, M. E.; et al., 92a:54009 

Gibson, R. G. see Rosen, Harvey; et al., 92m:54030 

Gregori, V. (with Grimalt Ivars, Pedro) A note on the continuity of semicontinuous 
functions. (Spanish. English summary) 

Grimalt Ivars, Pedro see Gregori, V. 

Hasanein, I. A. see Mashhour, Ali S.; et al. 

Jelié, Milena On pairwise LC-continuous mappings. 92a:54011 

Lashin, E.R. see Abd El-Monsef, M. E.; et al., 92a:54009 

Lee, Jong Pil On semi-h phisms. 92b:54020a 

— Corrigendum: “On semi-homeomorphisms”. 92b:54020b 

Maki, H. (with Sundaram, P.; Balachandran, Krishnan) On generalized homeomorphisms 
in topological spaces. 92j:54032a 

— (with Sundaram, P.; Balachandran, Krishnan) On generalized continuous maps and 
pasting lemma in bitopological spaces. 92j:54032b 

— see also Sundaram, P.; et al., 92j:54032c 

Mashhour, Ali S. (with Allam, A. A.; Hasanein, I. A.; El-Deeb, S. N.) Operation on 
supratopological spaces. (Arabic summary) 

Mukherjee, M. N. (with Basu, C. K.) 0-equivalent spaces—a new approach to ro- 
equivalent spaces and semi-regular properties. 92k:54015 

Noiri, Takashi (with Popa, Valeriu) Weak forms of faint continuity. 92b:54021 





54C Maps and general types of spaces defined by maps 


54C10 


Popa, Valeriu Some properties of almost feebly continuous functions. 92h:54018 

— see also Noiri, Takashi, 92b:54021 

Rosen, Harvey (with Gibson, R. G.; Roush, F. W.) Extendable functions and almost 
continuous functions with a perfect road. 92m:54030 

Roush, F. W. see Rosen, Harvey; et al., 92m:54030 

Sundaram, P. (with Maki, H.; Balachandran, Krishnan) Semi-generalized continuous maps 
and semi-7} 2 spaces. 92j:54032c 

— see also Maki, H.; et al., 92j:54032a and 92j:54032b 

Thivagar, M. Lellis A note on quotient mappings. 

Tong, Jing Cheng see Chew, James, 92m:54029 

Tseitlin, M. Ya. On the set of points of discontinuity of separately continuous functions. 
(Russian) (see 92d:28002) 

Zhang, De Xue The stratification structure of lattice-valued semicontinuous functions. 
(Chinese. English summary) 


Items with secondary classifications in 54C08 

Allam, A. A. (with Zahran, A.M.) Almost continuity and weakly continuity in bifuzzy 
topological spaces. 

Bin Shahna, Abdulla S. On fuzzy strong semicontinuity and fuzzy precontinuity. 92i:54008 

Dorsett, Charles Semicontinuity and semicompactness. 92j:54030 

Ewert, Janina Remarks on generalized continuity of multivalued maps with respect to two 
topologies. 92a:54018 

— (with Lipski, Tadeusz) On s-quasi-continuous multivalued maps. (Serbo-Croatian 
summary) 

Jeli¢, Milena Feebly p-continuous mappings. 92e:54030 

Kohli, J. K. Change of topology, characterizations and product theorems for semilocally P- 
spaces. 92m:54003 

Lipski, Tadeusz Remarks on limits of sequences of c-quasi-continuous multivalued maps. 
(Serbo-Croatian summary) 92i:54026 

— see also Ewert, Janina 

Liu, Ying Ming (with Luo, Mao Kang; Peng, Qian) Analytic and topological characteriza- 
tions of completely distributive law. 92¢:06022 

Luo, Mao Kang see Liu, Ying Ming; et al., 92e:06022 

Michael, Ernest A. Some problems. (see 92c:54001) 

Peng, Qian see Liu, Ying Ming; et al., 92¢:06022 

Singal, A. R. (with Yadav, D. S.) On semi-open sets. 

Yadav, D.S. see Singal, A. R. 

Zahran, A. M. see Allam, A. A. 


54C10 Special maps on topological spaces (open, closed, perfect, 
etc.) 


Ahmad, Bashir (with Khan, Moizuddin) On semi-boundary in topological spaces. 

Allam, A. A. see Mashhour, Ali S.; et al., 92h:54021 

Arkhangel'skii, A. V. (with Kotinac, Ljubisa) Concerning splittability and perfect 
mappings. 92f:54011 

Awartani, Marwan M. Open images of compactifications of the ray. 92i:54017 

Baker, Crump W. On 6-C open sets. 

Bella, Angelo (with Kotinac, Ljubisa) A short note on perfect splittability. 92h:54019 

Bennett, Harold R. (with Chaber, J.) Weak covering properties and the class MOBI. 
92a:54012 

— (with Chaber, J.) A subclass of the class MOBI. 92a:54013 

Bobkov, L. Yu. About the coincidence of weight and network weight for mappings. (Serbo- 
Croatian summary) 92h:54020 

Cammaroto, Filippo (with Noiri, Takashi) Almost y-continuous functions. 

Chaber, J. see Bennett, Harold R., 92a:54012 and 92a:54013 

Charatonik, Janusz J. Monotone mappings of universal dendrites. 92a:54014 

Diamond, Beverly Open maps on rimcompact spaces. 92m:54031 

Dube, K. K. (with Panwar, O. S.; Tiwari, R. K.) On weakly pairwise irresolute mappings. 
92e:54010 

Fedorchuk, V. V. Softness of mappings of subsets of locally convex spaces. (Russian) 
924:54017 

Ganster, Maximilian (with Reilly, Ivan L.) A decomposition of continuity. 92b:54022 

Gong, Shao Yin A discussion on proper mappings. (Chinese. English summary) 

Heath, Jo 2-to-1 maps with hereditarily indecomposable images. 92¢:54012 

— 2-to-1 maps on hereditarily indecomposable continua. 92¢:54013 

Ishmakhametov, K. On some classes of mappings. (Russian) (see 92m:54001) 

Jankovié, Dragan S. (with Konstadilaki-Savvopoulou, Ch.) A note on characterizations of 
compactness. 92i:54018 

Kawamura, Kazuhiro Some productive classes of maps which are related to confluent maps. 
92k:54016 

Khan, Moizuddin see Ahmad, Bashir 

Kotinac, Ljubisa see Arkhangel’skii, A. V., 92f:54011 and Bella, Angelo, 92h:54019 

Konstadilaki-Savvopoulou, Ch. see Jankovi¢, Dragan S., 92i:54018 

Lin, Shou R-quotients and ss-mappings. (Chinese) 92i:54019 

Mahmoud, R. A. Remarks on feeble openness and feeble continuity. (Arabic summary) 
92m:54032 

Mashhour, Ali S. (with Allam, A. A.; Zahran, A. M.) On S-closed spaces. 92h:54021 

Menkyna, Robert The maximal families with respect to the composition of functions with a 
closed graph. (Russian and Slovak summaries) 92¢:54014 

Mitchell, W. J. R. (with Repovs, Dusan) The topology of cell-like mappings. 92f:54012 

Noiri, Takashi see Cammaroto, Filippo 

Panwar, O.S. see Dube, K. K.; et al., 92e:54010 

Pol, Roman A few remarks on the set of finite-to-one maps of the Cantor set. 92g:54012 

Popa, Valeriu On feebly continuous functions. (Romanian summary) 

Prajs, Janusz R. On completeness of spaces of open mappings on continua. 92k:54017 

Reilly, Ivan L. see Ganster, Maximilian, 92b:54022 

Repovs, Duan see Mitchell, W. J. R., 92f:54012 

Tanaka, Yoshio Symmetric spaces, g-developable spaces and g-metrizable spaces. 
92d:54018 





54C10 


Tiwari, R. K. see Dube, K. K.; et al., 92¢:54010 
Yusufov, V. Sh. Open openly covering mappings. (Russian) 92b:54023 
Zahran, A.M. see Mashhour, Ali S.; et al., 92h:54021 


Items with secondary classifications in 54C10 

Aarts, Jan M. (with Oversteegen, Lex G.) On one-to-one continuous images of R. 
92k:54040 

Bandy, C. Property Q. 92a:54029 

Borsik, Jan (with Dobo’, Jozef) On simple continuity points. 92h:54017 

Bykov, A. I. (with Zerkalov, L.G.) Hereditary shape equivalence, absolute shape softness 
and cotelescope construction. (Russian) 92m:54037 

Charatonik, Janusz J. Absolutely terminal continua and confluent mappings. 92k:54034 

Cristea, Mihai Some remarks on light, differentiable mappings in R". 92b:58026 

Cruz, Ricardo N. Linear and Lipschitz similarity. 92d:15002 

Debski, W. (with Mioduszewski, J.) Simple plane images of the Sierpinski triangular curve 
are nowhere dense. 92¢:54039 

Diamond, Beverly Wallman prebases. 92¢:54006 

Dobo3, Jozef see Borsik, Jan, 92h:54017 

Dydak, Jerzy (with Walsh, John J.) Estimates of the cohomological dimension of 
decomposition spaces. 92g:55001 

Ergun, N. A note on compact preserving functions. (Turkish summary) 92f:54009 

Fedorchuk, V. V. Affine selections for mappings of spaces of probability measures. (Russian) 
92a:54019 

Garcia-Maynez, Adalberto (with Illanes, Alejandro) A survey on unicoherence and related 
properties. 92i:54035 

Ger, Joanna A closed epigraph theorem. 92m:54052 

Giuli, Eraldo A generalization of compactness and perfectness. 92k:54024 

Heath, Jo (with Hilton, Anthony J. W.) At most k-to-1 continuous mappings between 
graphs. 92i:05173 

Hilton, Anthony J. W. see Heath, Jo, 92i:05173 

Hosokawa, Hiroshi Refinable mappings of fans and a question of J. J. Charatonik, W. J. 
Charatonik and S. Miklos. 92m:54025 

— A restriction of a refinable mapping. 92m:54026 

Illanes, Alejandro see Garcia-Maynez, Adalberto, 92i:54035 

Kato, Hisao On some sequential strong Whitney-reversible properties. (Russian summary) 
92e:54007 

Kawamura, Kazuhiro Span zero continua and the pseudo-arc. 92b:54070 

Khedr, F. H. 6-irresolute mappings in bitopological spaces. (Arabic summary) 92m:54055 

Koétinac, Ljubisa A class of mappings and cardinal functions. (Serbo-Croatian summary) 
92i:54005 

Kovatevic¢, Ilija Some properties of subsets and almost closed mappings. (Serbo-Croatian 
summary) 92b:54040 

Laguna, V.F. (with Moron, M. A.; Sanjurjo, José M. R.) Generalized refinable maps and 
images of FANRs. 92g:54009 

Lonéar, Ivan Resolutions and infinite-dimensionality. 92b:54018 

Michael, Ernest A. Some problems. (see 92c:54001) 

— Almost complete spaces, hypercomplete spaces and related mapping theorems. 92h:54032 

Mioduszewski, J. see Debski, W., 92e:54039 

Morén, M. A. see Laguna, V. F.; et al., 92g:54009 

Oversteegen, Lex G. see Aarts, Jan M., 92k:54040 

Sanjurjo, José M. R. see Laguna, V. F.; et al., 92g:54009 

Thanapalan, P. T. Daniel Mappings and products of nearly para-Lindel6f spaces. 
92k:54025 

Walsh, John J. see Dydak, Jerzy, 92g:55001 

Wieczorek, Andrzej Compressibility: a property of topological spaces related to abstract 
convexity. 92i:54003 

Zerkalov, L.G. see Bykov, A. I., 92m:54037 


54C15 Retraction 


Mrozek, Marian Some remarks on Garay’s conjecture. 92i:54020 

Sipacheva, O. V. Compacta with a continuous Mal'tsev operation and retracts of topological 
groups. (Russian) 92b:54024 

Zivanovié, Zarko On e-retractible compacta. (Russian summary) 92g:54013 


Items with secondary classifications in 54C15 

Candeal, Juan Carlos (with Indurdin Eraso, Esteban) The Mdbius strip and a paradox of 
social choice theory. (Spanish. English summary) (see 92m:00050) 

Indurdin Eraso, Esteban see Candeal, Juan Carlos, (92m:00050) 

Tkachuk, V. V. Methods in the theory of cardinal invariants and the theory of mappings in 
application to function spaces. (Russian) 92h:54024 


54C20 Extension of maps 


Diamond, Beverly The extending of closed maps over perfect compactifications. 92a:54015 

Domagalski, Jerzy On some Hausdorff function. (Russian and Polish summaries) 
92j:54016 

Faina, L. Extensions of compact continuous maps into decomposable sets. 92j:54017 

Moiseev, E. V. A homotopy ascent theorem and a characterization of some soft mappings. 
(Russian) 92g:54014 

Sagandykov, M. M. Obstructions to the continuation of mappings. (Russian) 92k:54018 

Wang, Ti Fu Extension of a continuous function on a closed set in a metric space. (Chinese. 
English summary) 92a:54016 


Items with secondary classifications in 54C20 

Aizpuru Tomds, Antonio An extension of the theorem of Tietze and the A-property in 
C(K, X). (Spanish. English summary) (see 92b:00044) 

Artstein, Zvi Extensions of Lipschitz selections and an application to differential inclusions. 
92d:34030 

Borges, Carlos R. Are EC-spaces AE(metrizable)? 92i:54025 


GENERAL TOPOLOGY 


1992 912 


Cammaroto, Filippo (with Noiri, Takashi) Almost y-continuous functions. 

Deutsch, Frank (with Li, Wu; Park, Sung Ho) Tietze extensions and continuous selections 
for metric projections. 92b:54037 

Di Maio, Giuseppe (with Naimpally, Somashekhar) Abstract measure of oscillation and 
extension of functions. 92j:54015 

Fedorchuk, V. V. Probability measures in topology. (Russian) 92g:28014 

Henriksen, Melvin Rings of continuous functions from an algebraic point of view. 
92g:46025 

Huang, Wén Ta Quasi-isometric extension of infinite Jordan curves. 92k:30034 

Li, Wu see Deutsch, Frank; et al., 92b:54037 

Mai, Jie Hua (with Tang, Yun) On the injective metrization for infinite collapsible 
polyhedra. 92e:57033 

Naimpally, Somashekhar see Di Maio, Giuseppe, 92j:54015 

Noiri, Takashi see Cammaroto, Filippo 

Oversteegen, Lex G. Factorizations of mappings through arcs. 92i:54036 

Park, Sung Ho see Deutsch, Frank; et al., 92b:54037 

Raha, Asit Baran Abundance of spaces akin to S,,. 92i:54013 

Sokolov, B. V. Uniform continuity and limit sets of monotone mappings of class L}. 
(Russian) 92h:26016 

Tang, Yun see Mai, Jie Hua; et al., 92e:57033 


54C25 Embedding 
Dranishnikov, A. N. On intersection of compacta in Euclidean space. II. 92¢:54015 


Items with secondary classifications in 54C25 

van Douwen, Eric K. (with Reed, George M.) On chain conditions in Moore spaces. II. 
92d:54035 

Hayashi, Yoshiaki An axiomatic characterization of the dimension of subsets of Euclidean 
spaces. 92c:54041 

Kimura, Takashi Dimensions of topological groups containing the bouquet of two circles. 
92g:54050 

Levin, Michael Dimension and superposition of continuous functions. 92e:54037 

Liu, Li Yu Another special embedding of pseudo-arc. 92m:54062 

Mahavier, William S. Embeddings of simple indecomposable continua in the plane. 
92c:54043 

Mince, Piotr (with Transue, W. R.R.) Accessible points of hereditarily decomposable 
chainable continua. 92j:54045 

Olszewski, Wojciech Embeddings of finite-dimensional spaces into finite products of 1- 
dimensional spaces. 92g:54051 

Reed, George M. see van Douwen, Eric K., 92d:54035 

Spiez, S. (with Toruticzyk, H.) Moving compacta in R” apart. 92m:57030 

Toruticzyk, H. see Spiez, S., 92m:57030 

Transue, W.R. R. see Minc, Piotr, 92j:54045 


54C30 Real-valued functions [see also 26-XX] 


Bucur, I. G. Sur un théoréme de Choquet. [On a theorem of Choquet] 92m:54033 

Coutant, Basil Some cardinal function relationships between C,(X) and finite powers of a 
space X. 92j:54018 

Csaszar, A. (with Laczkovich, Miklés) Discrete and equal Baire classes. 92b:54025 

Garrido Carballo, Maria Isabel (with Montalvo Duran, Francisco) S-separation of 
Lebesgue sets and the chain condition. (Spanish. English summary) (see 92b:00044) 

Gul'ko, S. P. The space C,(X) for countable infinite compact X is uniformly homeomorphic 
to co. (Russian summary) 92¢e:54011 

Kuz'minykh, A. V. A continuous function whose graph intersects the graph of every 
polynomial that has the cardinality of the continuum. (Russian) 92i:54021 

Laczkovich, Miklés see Csdszar, A., 92b:54025 

Lane, Ernest Paul Correction to: “A conjecture concerning X x J” [Questions Answers Gen. 
Topology 8 (1990), no. 2, 387-403; MR91k:54022]. 

— Corrections to: “A conjecture concerning X x J” [Questions Answers Gen. Topology 8 
(1990), no. 2, 387-403; MR 91k:54022]. 

McCoy, Robert A. Dominating metrics and the fine topology. 92b:54026 

Montalvo Duran, Francisco see Garrido Carballo, Maria Isabel, (92b:00044) 

Pawlak, Ryszard Jerzy On Zahorski classes of functions of two variables. 92a:54017 


Items with secondary classifications in 54C30 

Antonino, José A. (with Romaguera, Salvador) Equinormal metrics and upper semi- 
continuity. 92b:54065 

Banas, Jézef (with Martinén, Antonio) Some properties of the Hausdorff distance in metric 
spaces. 92h:54039 

Buczolich, Zoltan Density points and bi-Lipschitz functions in R”. 92k:26027 

Diamond, Beverly Algebraic subrings and perfect compactifications. 92d:54026 

Gonzalez, Manuel (with Martinén, Antonio) Note on the Hausdorff measure of noncom- 
pactness. 92j:54039 

Khanin, L.G. Kantorovich-Rubinstein norm and its application in the theory of Lipschitz 
spaces. 92i:46026 

Luderer, Bernd (with Résiger, R.; Wiirker, U.) On necessary minimum conditions in 
quasidifferential calculus: independence of the specific choice of quasidifferentials. 
92i:49030 

Mandelkern, Mark On the uniform continuity of Tietze extensions. 92c:54034 

Martinén, Antonio see Banas, Jézef, 92h:54039 and Gonzalez, Manuel, 92j:54039 

Morishita, Kazuhiko The minimal support for a continuous functional on a function space. 
92e:54009 

Pawlak, Ryszard Jerzy On Darboux points and the perfectly closed class of functions. 
(Polish summary) 92i:26008 

— (with Rychlewicz, Andrzej) On a K. M. Garg’s problem in respect to Darboux functions. 
(Polish summary) 92i:26009 

Romaguera, Salvador see Antonino, José A., 92b:54065 

Rosiger, R. see Luderer, Bernd; et al., 92i:49030 








913 1992 


Rychlewicz, Andrzej see Pawlak, Ryszard Jerzy, 92i:26009 

TiSer, J. (with Zajiéek, Ludék) Typical measurable function in the topology of close 
approximation. 92k:28016 

Wirker, U. see Luderer, Bernd; et al., 92i:49030 

Zajitek, Ludék see Tiser, J., 92k:28016 

Zakharov, Valerii Konstantinovich The connection between the complete ring of quotients 
of the ring of continuous functions, the regular completion and Hausdorff-Sierpinski 
extensions. (Russian) 92¢:54020 


54C35 Function spaces [see also 46Exx, 58D15] 


Arkhangel’skii, A.V. Problems in C,-theory. (see 92¢:54001) 

— * Topological function spaces. 92i:54022 

Beer, Gerald A. (with Tamaki, Robert) Function spaces and the Mosco topology. 
92b:54027 

Bella, Angelo (with Charatonik, Janusz J.; Villani, Alfonso) Many continuous functions 
have many proper local extrema. 92k:54019 

Cauty, Robert L’espace des fonctions continues d’un espace métrique dénombrable. (English 
summary) [The space of continuous functions of a countable metric space] 92¢:54016 

Charatonik, Janusz J. see Bella, Angelo; et al., 92k:54019 

Dobrowolski, T. (with Marciszewski, Witold; Mogilski, Jerzy) On topological classification 
of function spaces C,(X) of low Borel complexity. 92c:54017 

van Douwen, Eric K. Nonnormality or hereditary paracompactness of some spaces of real 
functions. 92¢:54018 

Gordienko, I. Yu. Two theorems on relative cardinal invariants in C,-theory. (Serbo- 
Croatian summary) 92h:54022 

(Hoksbergen, R. A. M.) see Arkhangel’skii, A. V., 92i:54022 

Hold, Lubica (with Salat, Tibor) Graph convergence, uniform, quasi-uniform and 
continuous convergence and some characterizations of compactness. (Russian and Slovak 
summaries) 92b:54029 

— (with Neubrunn, Tibor) Hausdorff distance and the structure of certain function spaces. 
92b:54028 

— The Attouch-Wets topology and a characterisation of normable linear spaces. 92f:54013 

— (with Neubrunn, Tibor) A remark of functions vanishing at infinity. (Serbo-Croatian 
summary) 92g:54015 

Marciszewski, Witold On properties of Rosenthal compacta. 92i:54023 

— see also Dobrowolski, T.; et al., 92¢:54017 

McMaster, T. B. M. On Pervin’s example concerning the connected-open topology. 
92h:54023 

Mogilski, Jerzy see Dobrowolski, T.; et al., 92c:54017 

Neubrunn, Tibor see Hold, Cubica, 92b:54028 and 92g:54015 

Papadopoulos, Basil K. On the Scott topology on the set C(Y, Z) of continuous maps. 
92g:54016 

Pol, Elzbieta Function spaces in dimension theory and factorization theorems. 92¢:54012 

Poppe, Harry Joint continuity and compactness for a graph topology in general function 
spaces. 92g:54017 

Porter, Kathryn F. Adequate topologies for function spaces. 92¢:54019 

Render, Hermann Local compactness of function spaces. 92f:54014 

Salat, Tibor see Hold, Cubica, 92b:54029 

Spiliopoulos, G. D. A note on continuous linear mappings between function spaces. 
92m:54034 

Tamaki, Robert see Beer, Gerald A., 92b:54027 

Tkachuk, V. V. Methods in the theory of cardinal invariants and the theory of mappings in 
application to function spaces. (Russian) 92h:54024 

Villani, Alfonso see Bella, Angelo; et al., 92k:54019 


Items with secondary classifications in 54C35 

Aminpour, A. M. Spaces of functions determined by iterated limits “at infinity” on an oid. 
92j:22005 

Anick, David J. (with Dror Farjoun, E.) On the space of maps between R-local CW 
complexes. 92c:55008 

Attouch, Hédy (with Wets, Roger J.-B.) Quantitative stability of variational systems. I. The 
epigraphical distance. 92c:90111 

Baldwin, Stewart Martin’s axiom implies a stronger version of Blumberg’s theorem. 
92b:26005 

Beer, Gerald A. (with Di Concilio, Anna) A generalization of boundedly compact metric 
spaces. 92m:54051 

— A Polish topology for the closed subsets of a Polish space. 92¢:54009 

Belley, Jean-Marc (with Lessard, Francois) Une méthode générale de compactification 
d’un ensemble, et applications aux opérateurs induits par des transformations ponctuelles 
continues. (English summary) [A general method of set compactification, and applica- 
tions to operators induced by continuous point transformations] 92c:46056 

Bendersky, Martin (with Gitler, Sam) The cohomology of certain function spaces. 
924:55005 

Bistrém, Peter (with Bjon, Sten; Lindstrém, Mikael) Function algebras on which homomor- 
phisms are point evaluations on sequences. 92k:46036 

Bjon, Sten see Bistrém, Peter; et al., 92k:46036 

Cengiz, Bahattin On isometries of completely regular spaces of continuous functions. 
(Turkish summary) 92a:46029 

Cintura, Juraj Cartesian closed coreflective subcategories of the category of topological 
spaces. 92m:18013 

Collins, P. J. Uniform topologies on function spaces and topologies on power sets. 
92j:54013 

Coutant, Basil Some cardinal function relationships between C,(X) and finite powers of a 
space X. 92j:54018 

Deville, Robert Convergence ponctuelle et uniforme sur un espace compact. (English and 
Russian summaries) [Pointwise and uniform convergence on a compact space] 92f:54002 

Di Concilio, Anna see Beer, Gerald A., 92m:54051 

Dranishnikov, A. N. (with West, James E.) On compacta that intersect unstably in 
Euclidean space. 92m:54063 


54C Maps and general types of spaces defined by maps 


54C45 


Dror Farjoun, E. see Anick, David J., 92c:55008 

Fedorchuk, V. V. Completions of functional spaces and multivalued mappings. (Serbo- 
Croatian summary) 92h:54012 

Gitler, Sam see Bendersky, Martin, 92d:55005 

Gonzalez, Manuel (with Gutiérrez del Alamo, Joaquin M.) Compact and weakly compact 
homomorphisms between algebras of differentiable functions. 

Gutiérrez del Alamo, Joaquin M. see Gonzalez, Manuel 

Hejduk, Jacek (with Wajch, Eliza) A characterization of compactness in the sense of 
convergence with respect to a g-ideal. (Serbo-Croatian summary) 92k:28006 

Illanes, Alejandro The space of Whitney levels. 92i:54014 

Kisytiski, Jan Metrization of D;[0, 1] by Hausdorff distance between graphs. 92a:26002 

Kokk, Arne Banach-Stone type theorems. (Russian) 92a:46038 

Lawson, Jimmie D. (with Mislove, Michael W.) Problems in domain theory and topology. 
(see 92¢:54001) 

Lessard, Francois see Belley, Jean-Marc, 92c:46056 

Lindstrém, Mikael see Bistrém, Peter; et al., 92k:46036 

Marciszewski, Witold Order types, calibres and spread of Corson compacta. 92i:54006 

McCoy, Robert A. Dominating metrics and the fine topology. 92b:54026 

Mislove, Michael W. see Lawson, Jimmie D., (92c:54001) 

Morishita, Kazuhiko The minimal support for a continuous functional on a function space. 
92e:54009 

Naimpally, Somashekhar Hyperspaces and function spaces. 92a:54007 

Reznichenko, E. A. Normality and collective normality of function spaces. (Russian) 
92b:46003 

Sakai, Katsuro The space of Lipschitz maps from a compactum to an absolute neighbor- 
hood LIP extensor. 92k:57036 

Todd, Aaron R. Pseudocompact sets, absolutely Warner bounded sets and continuous 
function spaces. 924:46065 

Valov, Vesko M. Linear topological classifications of certain function spaces. 92¢:46055 

Vechtomov, E.M. Questions on the determination of topological spaces by algebraic 
systems of continuous functions. (Russian) 92e:54001 

Wajch, Eliza see Hejduk, Jacek, 92k:28006 

West, James E. see Dranishnikov, A. N., 92m:54063 

Wets, Roger J.-B. see Attouch, Hédy, 92c:90111 


54C40 Algebraic properties of function spaces [see also 46J10] 


Bella, Angelo (with Charatonik, Janusz J.; Villani, Alfonso) On the residuality of the set of 
all nowhere constant functions. (Italian summary) 92b:54030 

Byun, H. Linda (with Watson, Saleem) Prime and maximal ideals in subrings of C(X). 
92h:54025 

Caterino, A. (with Vipera, Maria Cristina) Wallman rings, disconnections and sub-direct 
sums. 92f:54015 

Charatonik, Janusz J. see Bella, Angelo; et al., 92b:54030 

Czdszar, A. (with Thiimmel, E.) Multiplicative semigroups of continuous mappings. 
92b:54031 

Grande, Zbigniew Algebraic structures generated by almost continuous functions. 
92g:54018 

Mulero Diaz, Ma. Angeles Relative differentials between rings of continuous functions. 
(Spanish. English summary) (see 92b:00044) 

— Flatness criterion for C(X) modules. (Spanish. English summary) (see 92m:00050) 

Thiimmel, E. see Czdszar, A., 92b:54031 

Villani, Alfonso see Bella, Angelo; et al., 92b:54030 

Vipera, Maria Cristina see Caterino, A., 92f:54015 

Watson, Saleem see Byun, H. Linda, 92h:54025 

Zakharov, Valerii Konstantinovich The connection between the complete ring of quotients 
of the ring of continuous functions, the regular completion and Hausdorff-Sierpitiski 
extensions. (Russian) 92c:54020 


Items with secondary classifications in 54C40 


Garrido Carballo, Maria Isabel (with Montalvo Duran, Francisco) S-separation of 
Lebesgue sets and the chain condition. (Spanish. English summary) (see 92b:00044) 

Henriksen, Melvin Rings of continuous functions from an algebraic point of view. 
92g:46025 

— Spaces with a pretty base. 92b:54076 

Karimpour, Rahim G. Complementary topology and Boolean ring. 92b:54053 

Levin, Michael Dimension and superposition of continuous functions. 92¢:54037 

McAfee, R. Preston (with Reny, Philip J.) A Stone-Weierstrass theorem without closure 
under suprema. 92c:41033 

Montalvo Duran, Francisco see Garrido Carballo, M-ria Isabel, (92b:00044) 

Reny, Philip J. see McAfee, R. Preston, 92c:41033 

Requejo Fernandez, Batildo Localization of topological modules. (Spanish. English 
summary) (see 92m:00050) 

Spiliopoulos, G. D. A note on continuous linear mappings between function spaces. 
92m:54034 

Vechtomov, E. M. Questions on the determination of topological spaces by algebraic 
systems of continuous functions. (Russian) 92e:54001 

Zakharov, Valerii Konstantinovich Alexandrovian cover and Sierpifiskian extension. 
92e:46109 


54C45 C- and C*-embedding 


Fleissner, William G. (with Porter, Jack R.) The set of nonuniform ultrafilters is C*- 
embedded for singular cardinals. 92c:54021 

Ipate, D. M. Rings of continuous functions into the extended straight line. (Russian) 
92m:54035 

Porter, Jack R. see Fleissner, William G., 92c:54021 





54C50 


54C50 Special sets defined by functions [see also 26A21] 


Bazilevich, L. E. Topology of efficient subsets of level sets. (Russian) 924:54019 

Wajch, Eliza Small systems—on approximation of compact sets of measurable functions to 
compact subsets of C-_9(X). 92m:54036 

Zakharov, Valerii Konstantinovich Borel cover and Borel extension. 92i:54024 


Items with secondary classifications in 54C50 


Csaszaér, A. Extensions of discrete and equal Baire functions. 92f:26006 

Di Concilio, Anna On the Tukey-Shirota uniformity. 92b:54060 

Haydon, Richard (with Odell, E.; Rosenthal, Haskell Paul) On certain classes of Baire-1 
functions with applications to Banach space theory. 92h:46018 

Hejduk, Jacek (with Wajch, Eliza) A characterization of compactness in the sense of 
convergence with respect to a c-ideal. (Serbo-Croatian summary) 92k:28006 

Henriksen, Melvin Spaces of prime ideals. 92g:14003 

Lazarow, Ewa Baire classes in the topologies generated by the lower densities. 92g:26003 

Odell, E. see Haydon, Richard; et al., 92h:46018 

Rosenthal, Haskell Paul see Haydon, Richard; et al., 92h:46018 

Wajch, Eliza see Hejduk, Jacek, 92k:28006 

Zakharov, Valerii Konstantinovich Connections between the Lebesgue extension and the 
Borel extension of the first class and between their corresponding preimages. (Russian) 
92i:28002 


54C55 Absolute neighborhood extensor, absolute extensor, 
absolute neighborhood retract (ANR), absolute retract 
spaces (general properties) [see also 55M15] 


Ageev, S.M. An equivariant Dugundji theorem. (Russian) 92h:54026 

Borges, Carlos R. Are EC-spaces AE(metrizable)? 92i:54025 

Dijkstra, Jan J. (with van Mill, Jan; Mogilski, Jerzy) An AR-map whose range is more 
infinite-dimensional than its domain. 92c:54022 

Kubiak, Tomasz A quotient of the Helly space which is AR(normal). 92g:54019 

van Mill, Jan see Dijkstra, Jan J.; et al., 92c:54022 

Mogilski, Jerzy see Dijkstra, Jan J.; et al., 92c:54022 


Items with secondary classifications in 54C55 


Baladze, V. Kh. Fiber shape theory and resolutions. (Serbo-Croatian summary) 92k:55016 

Banaschewski, B. (with Niefield, S. B.) Projective and supercoherent frames. 92b:06034 

Fedorchuk, V. V. Softness of mappings of subsets of locally convex spaces. (Russian) 
924:54017 

— Probability measures in topology. (Russian) 92g:28014 

Laguna, V.F. (with Moron, M. A.; Sanjurjo, José M. R.) Generalized refinable maps and 
images of FANRs. 92g:54009 

MardeSi¢, Sibe (with Watanabe, Tadashi*) Approximate resolutions of spaces and 
mappings. (Serbo-Croatian summary) 92b:54019 

Moiseev, E. V. A homotopy ascent theorem and a characterization of some soft mappings. 
(Russian) 92g:54014 

Morén, M. A. see Laguna, V. F.; et al., 92g:54009 

Mrozek, Marian Some remarks on Garay’s conjecture. 92i:54020 

Niefield, S. B. see Banaschewski, B., 92b:06034 

Olszewski, Wojciech Embeddings of finite-dimensional spaces into finite products of 1- 
dimensional spaces. 92g:54051 

Sanjurjo, José M. R. see Laguna, V. F.; et al., 92g:54009 

Watanabe, Tadashi‘ see MardeSi¢, Sibe, 92b:54019 

West, James E. Open problems in infinite-dimensional topology. (see 92c:54001) 

Zarichnyi, M. M. On covariant topological functors. II. 92i:18004 


54C56 Shape theory [see also 55P55, 57N25] 


Baladze, V. Kh. Shapes with locally compact supports. (Russian. English and Georgian 
summaries) 92b:54032 

Bykov, A. I. (with Zerkalov, L.G.) Hereditary shape equivalence, absolute shape softness 
and cotelescope construction. (Russian) 92m:54037 

Dydak, Jerzy (with Segal, Jack) A list of open problems in shape theory. (see 92c:54001) 

Gaszak, A. The Whitehead theorem in equivariant shape theory. (Serbo-Croatian summary) 
92¢:54023 

Mrozik, Peter Finite-dimensional categorical complement theorems in strong shape theory 
and a principle of reversing maps between open subsets of spheres. 92b:54033 

Sanjurjo, José M. R. An intrinsic description of shape. 92e:54013 

Segal, Jack see Dydak, Jerzy, (92c:54001) 

Zerkalov, L. G. Ceil-like and shape-soft mappings. (Russian) 92j:54019 

— see also Bykov, A. I., 92m:54037 


Items with secondary classifications in 54C56 

Batanin, M. A. Strong and weak shape equivalences of compact metric spaces. (Russian) 
92f:55011a 

— Letter to the editor: “Strong and weak shape equivalences of compact metric spaces”. 
(Russian) 92£:55011b 

Dydak, Jerzy (with Nowak, Slawomir) Strong shape for topological spaces. 92a:55011 

Gaji¢, Ljiljana see Hadzi¢, Olga; et al., 924:47075 

Gimnther, Bernd Strong shape of compact Hausdorff spaces. 92m:55012 

Hadzi¢, Olga (with Gaji¢, Ljiljana; Janiak, T.) Fixed point theorems for multivalued 
mappings in topological vector spaces and their applications. 92d:47075 

Janiak, T. see Hadzi¢, Olga; et al., 92d:47075 

Laguna, V.F. (with Moron, M. A.; Sanjurjo, José M. R.) Generalized refinable maps and 
images of FANRs. 92g:54009 

MardeSi¢, Sibe Resolutions of spaces are strong expansions. 92k:54014 

— Strong expansions and strong shape theory. 92e:55010 

Mordén, M. A. see Laguna, V. F.; et al., 92g:54009 

Nowak, Slawomir see Dydak, Jerzy, 92a:55011 


GENERAL TOPOLOGY 


1992 914 


Rubanov, I. A projective category for arbitrary commutative diagrams. (Russian. English 
and Latvian summaries) 92m:18009 

Sanjurjo, José M. R. see Laguna, V. F.; et al., 92g:54009 

Watanabe, Tadashi* Approximate resolutions and covering dimension. 92d:54016 

West, James E. Open problems in infinite-dimensional topology. (see 92c:54001) 


54C60 Set-valued maps [see also 26E25, 28B20, 47H04, 58C06] 


Cascales, B. (with Orihuela, J.) A sequential property of set-valued maps. 92m:54038 

Charatonik, Janusz J. (with Ricceri, Biagio; Villani, Alfonso) Multifunctions with 
completely connected range. 92¢:54024 

Doichinov, Doichin B. Uniformly continuous multi-valued mappings. 92j:54020 

Dolbilov, A. M. (with Shneiberg, I. Ya.) Almost periodic multivalued mappings and their 
selections. (Russian) 92j:54021 

Domnik, Irena Continuity of multifunctions with respect to local sieves and quasi-uniform 
convergence. (Serbo-Croatian summary) 

Drewnowski, Lech (with Labuda, Iwo) On minimal upper semicontinuous compact-valued 
maps. 92b:54034 

Ewert, Janina On points of lower and upper quasi-continuity of multivalued maps. (Russian 
summary) 92g:54020 

— On quasi-uniform convergent sequences of multivalued maps. (Russian summary) 
92b:54036 

— Quasi-continuity of multivalued maps with respect to the qualitative topology. 92b:54035 

— Remarks on generalized continuity of multivalued maps with respect to two topologies. 
92a:54018 

— (with Lipski, Tadeusz) On s-quasi-continuous multivalued maps. (Serbo-Croatian 
summary) 

— On points of lower and upper semicontinuity of multivalued maps. 92j:54022 

Gao, Yun Peng Uniformly *-continuous set-valued mappings. (Chinese. English summary) 

— A unified description of various convergence topologies for spaces of set-valued mappings. 
(Chinese. English summary) 

Gel‘man, B. D. On some problems from the theory of fixed points of multivalued mappings 
[in Topological and geometric methods of analysis (Russian), 90-105, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91f:54010]. (see 92b:58001) 

Gérniewicz, Lech (with Granas, Andrzej) Topology of morphisms and fixed point problems 
for set-valued maps. (French summary) 92£:54016 

Granas, Andrzej see Gérniewicz, Lech, 92f:54016 

Jourani, A. On metric regularity of multifunctions. 92m:54039 

Kannan, V. Linear selection of spectral elements. 92c:54025 

Labuda, Iwo see Drewnowski, Lech, 92b:54034 

Lin, Bor-Luh (with Quan, Xiu Chi) A two functions nonlinear minimax theorem. (French 
summary) 92j:54023 

Lipski, Tadeusz Remarks on limits of sequences of c-quasi-continuous multivalued maps. 
(Serbo-Croatian summary) 92i:54026 

— see also Ewert, Janina 

Matejdes, Milan Quelques remarques sur la quasi-continuité des multifonctions. (Russian 
summary) [Some remarks on the quasicontinuity of multifunctions] 92g:54021 

Negoescu, Nicoleta Suites d’applications multivoques qui satisfont 4 certaines conditions 
de contractivité. (Romanian summary) [Sequences of multivalued mappings satisfying 
certain contractivity conditions] 

Orihuela, J. see Cascales, B., 92m:54038 

Popa, Valeriu Weak continuity and almost continuity for multifunctions. (Serbo-Croatian 
summary) 

Quan, Xiu Chi see Lin, Bor-Luh, 92j:54023 

Ricceri, Biagio see Charatonik, Janusz J.; et al., 92c:54024 

Sarbadhikari, H. (with Srivastava, S.M.) Random theorems in topology. 92j:54024 

Seitbekov, A. Properties of multivalued mappings of uniform spaces. (Russian) (see 
92m:54001) 

Shneiberg, I. Ya. see Dolbilov, A. M., 92j:54021 

Srivastava, S.M. see Sarbadhikari, H., 92j:54024 

Villani, Alfonso see Charatonik, Janusz J.; et al., 92c:54024 


Items with secondary classifications in 54C60 


Basu, D. K. (with Ghosh, K. M.) Fixed point theorem for set valued mappings. 

Beckert, Herbert Ein Fixpunktsatz fiir mehrdeutige nichtazyklische Abbildungen auf 
der Sphare. (English and Russian summaries) [A fixed point theorem for multivalued 
nonacyclic mappings on the sphere] 92h:54059 

— Ein Fixpunktsatz fiir mehrdeutige konvexe Abbildungen auf der Sphare. (English and 
Russian summaries) [A fixed-point theorem for multivalued convex mappings on the 
sphere] 92i:55003 

Beer, Gerald A. Mosco convergence and weak topologies for convex sets and functions. 
92j:46022 

— A Polish topology for the closed subsets of a Polish space. 92c:54009 

Chen, Wen Hu Fixed-point theorems for nonexpansive mappings and pairs of nonexpansive 
mappings. (Chinese. English summary) 

Choban, M. M. (with Kenderov, P. S.; Revalski, Julian) Continuous selections of 
multivalued mappings. 92k:54020 

Constantin, Adrian Coincidence point theorems for multivalued contraction mappings. 

Fedorchuk, V. V. Completions of functional spaces and multivalued mappings. (Serbo- 
Croatian summary) 92h:54012 

Ghosh, K. M. see Basu, D. K. 

Husain, Taqdir (with Latif, Abdul) Fixed points of multivalued nonexpansive maps. 
92k:54056 

Izydorek, Marek (with Kucharski, Zygfryd) The Krasnosielski theorem for permissible 
multivalued maps. (Russian summary) 92h:47079 

— (with Jaworowski, Jan) Parametrized Borsuk-Ulam theorems for multivalued maps. 
92k:55003 

Jaworowski, Jan see Izydorek, Marek, 92k:55003 

Kasperski, Andrzej The modular spaces of multifunctions. II. 92¢:46057 

Kawamura, Kazuhiro Span zero continua and the pseudo-arc. 92b:54070 





915 1992 


Kenderov, P.S. see Choban, M. M.; et al., 92k:54020 

Kfivan, Vlastimil (with Vrkoé, Ivo) Absolutely continuous selections from absolutely 
continuous set valued map. 924:28005 

Kucharski, Zygfryd see Izydorek, Marek, 92h:47079 

Kucia, Anna Scorza Dragoni type theorems. 92g:28019 

Latif, Abdul see Husain, Taqdir, 92k:54056 

Lucchetti, Roberto (with Malivert, C.) Variational convergences and level sets multifunc- 
tions. 92b:49025 

Malakar, S. see Mukherjee, M. N., 92d:54005 

Malivert, C. see Lucchetti, Roberto, 92b:49025 

Mukherjee, M. N. (with Malakar, S.) On almost continuous and weakly continuous fuzzy 
multifunctions. 924:54005 

Muthuvel, Kandasamy Nowhere dense set mappings on the generalized linear continua. 
92a:04007 

Pande, Rajesh Kumar Multi-valued contraction mappings in complete metric space. 

Papageorgiou, Nikolaos S. Fixed point theorems for multifunctions with stochastic domain. 

Revalski, Julian see Choban, M. M.; et al., 92k:54020 

Sanjurjo, José M. R. An intrinsic description of shape. 92e:54013 

Schirmer, Helga The least number of fixed points of bimaps. 92c:55003 

Song, Fa Min Common fixed-point theorems for set-valued semicontinuous mappings. 
(Chinese. English summary) 

Takahashi, Wataru Existence theorems generalizing fixed point theorems for multivalued 
mappings. (French summary) 92m:54078 

Verona, Andrei (with Verona, Maria Elena) A note on minimal usco maps. 92m:47106 

Verona, Maria Elena see Verona, Andrei, 92m:47106 

Viksna, Juris A fixed-point theorem for a multivalued function. (Latvian. English and 
Russian summaries) (see 92d:00013) 

Vrkot, Ivo see Kfivan, Vlastimil, 92d:28005 

Xu, Hong Kun On weakly nonexpansive and +-nonexpansive multivalued mappings. 
92e:54052 

Zawadzka, Grazyna On Lipschitzian operators of substitution in the space of set-valued 
functions of bounded variation. (Serbo-Croatian summary) 92d:47091 

Zhang, Shi Sheng (with Zhang, Ying') Generalized KKM theorem and variational 
inequalities. 92k:47100 

Zhang, Ying' see Zhang, Shi Sheng, 92k:47100 


54C65 Selections [see also 28B20] 


Bulgakov, A. I. Continuous selections of multivalued mappings, and functional-differential 
inclusions with a nonconvex right-hand side. (Russian) 92j:54025 

Choban, M. M. (with Kenderov, P. S.; Revalski, Julian) Continuous selections of 
multivalued mappings. 92k:54020 

Deutsch, Frank (with Li, Wu; Park, Sung Ho) Tietze extensions and continuous selections 
for metric projections. 92b:54037 

Di Bari, Cristina M. (with Vetro, Pasquale) Properties of countable separation and implicit 
function theorem. 92m:54040 

Ding, Xie Ping Continuous selection theorem, coincidence theorem and intersection 
theorems concerning sets with H-convex sections. 92j:54026 

Fedeli, Alessandro (with Pelant, Jan) On d-continuous selections of small multifunctions 
and covering properties. 92m:54041 

Fedorchuk, V. V. Affine selections for mappings of spaces of probability measures. (Russian) 
92a:54019 

Kenderov, P.S. see Choban, M. M.; et al., 92k:54020 

Kupka, Ivan A. K. Quasicontinuous selections for one-to-finite multifunctions. (Russian and 
Slovak summaries) 92j:54027 

— Continuous selections from topological to metric spaces. (French summary) 92m:54042 

Li, Wu see Deutsch, Frank; et al., 92b:54037 

Matejdes, Milan On the cliquish, quasicontinuous and measurable selections. (Slovak 
summary) 92m:54043 

Park, Sung Ho see Deutsch, Frank; et al., 92b:54037 

Pelant, Jan see Fedeli, Alessandro, 92m:54041 

Revalski, Julian see Choban, M. M.; et al., 92k:54020 

Vesely, Libor Continuous selections of finite-set valued mappings. 92g:54022 

Vetro, Pasquale see Di Bari, Cristina M., 92m:54040 


Items with secondary classifications in 54C65 

Artstein, Zvi Extensions of Lipschitz selections and an application to differential inclusions. 
92d:34030 

Bazilevich, L. E. Topology of efficient subsets of level sets. (Russian) 92d:54019 

Bressan, A., Jr. Selections of Lipschitz multifunctions generating a continuous flow. 
92h:34036 

Cascales, B. (with Orihuela, J.) A sequential property of set-valued maps. 92m:54038 

De Castro, Rodrigo (with Varela, Januario) Localization in bundles of uniform spaces. 
92h:54013 

Dolbilov, A.M. (with Shneiberg, I. Ya.) Almost periodic multivalued mappings and their 
selections. (Russian) 92j:54021 

Fang, Jin Xuan Fixed point theorems of local contraction mappings on Menger spaces. 
(Chinese. English summary) 92b:54085 

Gelman, B. D. On some problems from the theory of fixed points of multivalued mappings 
[in Topological and geometric methods of analysis (Russian), 90-105, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91f:54010]. (see 92b:58001) 

Goncharov, V. V. (with Tolstonogov, A. A.) Common continuous selections of multivalued 
mappings with nonconvex values, and their applications. (Russian) 92k:47099 

Kfivan, Vlastimil (with Vrkot, Ivo) Absolutely continuous selections from absolutely 
continuous set valued map. 924:28005 

Michael, Ernest A. Some problems. (see 92c:54001) 

Nadler, Sam B., Jr. e-selections. 92c:54011 

Orihuela, J. see Cascales, B., 92m:54038 

Ornelas, A. Approximation of relaxed solutions for lower semicontinuous differential 
inclusions. 92m:28018 


54C Maps and general types of spaces defined by maps 


54C99 


Sarbadhikari, H. (with Srivastava, S.M.) Random theorems in topology. 92j:54024 
Sharma, Prem Lal Hyperspace topologies and some selection theorems. 924:54014 
Shneiberg, I. Ya. see Dolbilov, A. M., 92j:54021 

Srivastava, S.M. see Sarbadhikari, H., 92j:54024 

Tolstonogov, A. A. see Goncharov, V. V., 92k:47099 

Varela, Januario see De Castro, Rodrigo, 92h:54013 

Vrkot, Ivo see Ktivan, Viastimil, 92d:28005 


54C70 Entropy 
Karimpour, Rahim G. Topological entropy of a homeomorphism on a tree. 92h:54027 


Items with secondary classifications in 54C70 

Alseda i Soler, Lluis (with Moreno, José Miguel) Lower bounds of the topological entropy 
of maps of Y. 92e:58106 

Borner, Walter Simplexe mit streng monotoner Entropiezahlenfolge. [Simplices with 
strongly monotone entropy sequence] 92m:41067 

Coven, Ethan M. (with Hidalgo, Melissa C.) On the topological entropy of transitive maps 
of the interval. 92h:58102 

Geller, William (with Tolosa, Juan) Maximal entropy odd orbit types. 92e:58163 

Hidalgo, Melissa C. see Coven, Ethan M., 92h:58102 

Moreno, José Miguel see Alseda i Soler, Lluis, 92e:58106 

Schmidt, Klaus D. * Algebraic ideas in ergodic theory. 92k:28029 

Tolosa, Juan see Geller, William, 92e:58163 


Items listed otherwise than by author 
CBMS Regional Conference Series in Mathematics see Schmidt, Klaus D., 92k:28029 


54C99 None of the above, but in this section 


Davydov, N. A. Properties of continuous mappings of unbounded metric spaces. (Russian. 
Ukrainian summary) 924:54020 

Dyikanov, T. K. Factorization of uniformly continuous mappings. (Russian) (see 
92m:54001) 

Guo, Wei Ping A localized monotone theorem. (Chinese. English summary) 

Liu, Luo Fei Open, compact, continuous mappings and o-point finite bases. (Chinese. 
English summary) 924:54021 

Muradov, F. Kh. Superassociative algebras of strongly closed many-place functions. 
(Russian. English and Azerbaijani summaries) 92m:54044 

Pawlak, Helena (with Pawlak, Ryszard Jerzy) On Darboux points and the property of 
Swiatkowski of transformations with closed graphs. 92a:54020 

Pawlak, Ryszard Jerzy see Pawlak, Helena, 92a:54020 

Zhou, You Cheng Continuous mappings and the set function I. (Chinese. English summary) 
92a:54021 


Items with secondary classifications in 54C99 

Abd El-Monsef, M. E. (with Kozae, A.M.) Remarks on S-closed spaces. (Arabic summary) 
92i:54029 

Attouch, Hédy (with Azé, D.; Beer, Gerald A.) On some inverse stability problems for the 
epigraphical sum. 92b:49021 

Azé, D. see Attouch, Hédy; et al., 92b:49021 

Basile, Achille A remark on a Fréchet-Smulian criterion. (Russian summary) 924:46071 

Beer, Gerald A. see Attouch, Hédy; et al., 92b:49021 

Bennett, Harold R. (with Chaber, J.) A survey of the class MOBI. (see 92c:54001) 

Borwein, Jonathan M. (with Fitzpatrick, Simon; Kenderov, P. S.) Minimal convex uscos 
and monotone operators on small sets. 92j:46078 

Chaber, J. see Bennett, Harold R., (92c:54001) 

Ciesielski, Krzysztof (with Larson, Lee M.) The density topology is not generated. 
92d:26004 

Fitzpatrick, Simon see Borwein, Jonathan M.; et al., 92j:46078 

Flothow, Christhard Definability in lattices of continuous functions: a contribution to first 
order topology. (see 92a:03004) 

Granas, Andrzej Sur quelques méthodes topologiques en analyse convexe. [On some 
topological methods in convex analysis] 92¢:90076 

Jastrzebski, Jan M. (with Jedrzejewski, Jacek M.; Natkaniec, Tomasz) On some subclasses 
of Darboux functions. 92h:26006 

Jedrzejewski, Jacek M. see Jastrzebski, Jan M.; et al., 92h:26006 

Kenderov, P.S. see Borwein, Jonathan M.,; et al., 92j:46078 

Kozae, A. M. see Abd El-Monsef, M. E., 92i:54029 

Kucia, Anna Scorza Dragoni type theorems. 92g:28019 

Larson, Lee M. see Ciesielski, Krzysztof, 92d:26004 

Liu, Chuan Note on point-countable k-networks. 92f:54021 

Liu, Ying Ming (with Luo, Mao Kang) Lattice-valued mappings, completely distributive 
law and induced spaces. 92f:54004 

Luo, Mao Kang see Liu, Ying Ming, 92f:54004 

Madden, James J. Vector-lattices and a problem in geometry. 92k:06019 

Mai, Jie Hua Pointwise periodic self-maps of subspaces of 2-dimensional manifolds. 
92¢:58164 

Malakar, S. see Mukherjee, M. N., 924:54005 

Medvedev, V. A. Optimal representation of functions by the sum of two compositions. 
(Russian) 92k:26030 

— On the representation of functions by the sum of several compositions. (Russian) 
92k:26029 

Miklos, S. Weakly confluent images of unicoherent generalized continua. 92e:54034 

Mohapl, Jaroslav On modular set functions and measures. 92g:28001 

Moiseev, E. V. Fibrations of spaces of closed hyperspaces of growth and inclusion. 
(Russian) 92e:54008 

Mukherjee, M. N. (with Malakar, S.) On almost continuous and weakly continuous fuzzy 
multifunctions. 924:54005 





54C€99 


Mutter, Wolfgang Maximal left ideals in near-rings of continuous functions on disconnected 
groups. 92c:16043 

Naimpally, Somashekhar (with Tikoo, Mohan L.) Nearness convergence. 92e:54002 

Natkaniec, Tomasz see Jastrzebski, Jan M.; et al., 92h:26006 

Rippon, P. J. Asymptotic values of continuous functions in Euclidean space. 92k:30051 

Rivero Mendoza, Jestis (with Szigeti, F.) Composition of Sobolev functions and its 
applications to ordinary differential equations. 92d:46087 

Szigeti, F. see Rivero Mendoza, Jesiis, 924:46087 

Szilagyi, Tivadar Existence and Lipschitzian dependence theorems in complete spaces. 
92m:49008 

Tikoo, Mohan L. see Naimpally, Somashekhar, 92e:54002 

Vuza, Dan Tudor Uniform continuity and uniform convergence. 92b:54069 

Wyderka, Zdzisiaw On multivalued version of the Darboux theorem with applications in 
optimal control theory. 924:26008 


Items listed otherwise than by author 


Cohomological dimension and soft maps * Kohomorojii jigen to sofuto shaz6 no kenkyi. 
(Japanese) [Cohomological dimension and soft maps] 92i:55002 
Symposium: 


kenkyt. (Japanese) [Cohomological dimension and soft maps] 92i:55002 
54Dxx Fairly general properties 


54D05 Connected and locally connected spaces (general aspects) 


Arya, Shashi Prabha (with Nour, T. M.) Pairwise almost locally connected spaces. 

Baboolal, D. Locally connected compactifications. 92¢:54026 

Bella, Angelo (with Charatonik, Janusz J.; Omiljanowski, K.) Connectivity properties and a 
change of the topology. (Serbo-Croatian summary) 92k:54021 

Cammaroto, Filippo (with Melidoni, Gregoria) A note on d-connectivity property. (Serbo- 
Croatian summary) 92k:54022 

Charatonik, Janusz J. see Bella, Angelo; et al., 92k:54021 

Melidoni, Gregoria see Cammaroto, Filippo, 92k:54022 

Nour, T. M. see Arya, Shashi Prabha 

Omiljanowski, K. see Bella, Angelo; et al., 92k:54021 

Rubio, J. E. A nonstandard characterization of realcompactness. 92k:54023 

Tzannes, V. Two countable Hausdorff almost regular spaces every continuous map of which 
into every Urysohn space is constant. 92h:54028 


Items with secondary classifications in 54D05 

Bankston, Paul (with McCoy, Robert A.) H-enrichments of topologies. 92m:54002 

Cater, F.S. A Bernstein parting of a space of measurable sets. 92g:28040 

Caterino, A. (with Vipera, Maria Cristina) Wallman rings, disconnections and sub-direct 
sums. 92f:54015 

Garcia-Maynez, Adalberto (with Illanes, Alejandro) A survey on unicoherence and related 
properties. 92i:54035 

Holmes, M. Randall There is a continuum which is connected by uniformly short paths but 
not uniformly path connected. 92j:54042 

Illanes, Alejandro see Garcia-Maynez, Adalberto, 92i:54035 

Khalimsky, Efim (with Kopperman, Ralph; Meyer, Paul R.) Computer graphics and 
connected topologies on finite ordered sets. 92¢:54037 

Kopperman, Ralph see Khalimsky, Efim; et al., 92c:54037 

Kurdics, J. (with Szaz, Arpad) Connected relator spaces. 

Lonéar, Ivan Hyperspace of the approximate inverse limit. (Serbo-Croatian summary) 

Loveland, L. D. The double midset conjecture for continua in the plane. 92h:54047 

McCoy, Robert A. see Bankston, Paul, 92m:54002 

Meyer, Paul R. see Khalimsky, Efim; et al., 92c:54037 

Szaz, Arpad see Kurdics, J. 

Tzannes, V. A note on maximally resolvable spaces. 92d:54037 

Vipera, Maria Cristina see Caterino, A., 92f:54015 


54D10 Lower separation axioms, (7-73, etc.) 


Arkhangel'skii, A. V. (with Khamdi, M. M. Genedi) The origin of the theory of relative 
topological properties. (Russian) 92e:54014 

Arya, Shashi Prabha (with Nour, T.M.) Weakly semi-Ro spaces. 92¢:54027 

Cammaroto, Filippo On D-completely regular spaces. 92d:54022 

Dorsett, Charles Higher semi separation axioms. 92f:54017 

Ganster, Maximilian On strongly s-regular spaces. (Serbo-Croatian summary) 92f:54018 

Khamdi, M. M. Genedi see Arkhangel’skii, A. V., 92e:54014 

Nour, T. M. see Arya, Shashi Prabha, 92c:54027 

Ogata, Hayao Remarks on some operation-separation axioms. 92j:54032d 

Papadopoulos, Basil K. Between Rp and R;. (Serbo-Croatian summary) 92j:54028 

Items with secondary classifications in 54D10 

Abd El-Monsef, M. E. (with Geaisa, A. N.; Lashien, E. F.) Separation axioms in supratopo- 
logical spaces. (Arabic summary) 92c:54002 

Balachandran, Krishnan see Sundaram, P.; et al., 92j:54032c 


Cammaroto, Filippo (with Cerin, Zvonko; Gianella, Gian Mario) Topologies on spaces of 
subsets. 92h:54011 

Cerin, Zvonko see Cammaroto, Filippo; et al., 92h:54011 

Deak, J. On bitopological spaces. I. 92m:54054 

Di Bari, Cristina M. (with Vetro, Pasquale) Properties of countable separation and implicit 
function theorem. 92m:54040 

Di Maio, Giuseppe (with Naimpally, Somashekhar) A general app h to 
proximities. 92f:54029 

Geaisa, A. N. see Abd El-Monsef, M. E.; et al., 92:54002 

Gianella, Gian Mario see Cammaroto, Filippo; et al., 92h:54011 





y ric 


GENERAL TOPOLOGY 


1992 916 


Giuli, Eraldo (with Simon, Petr) On spaces in which every bounded subset is Hausdorff. 
92b:54043 

Grant, Douglass L. (with Reilly, Ivan L.) Spaces in which a bound on cardinality implies 
discreteness. 92b:54002 

Kovatevié, [lija Some properties of subsets and almost closed mappings. (Serbo-Croatian 
summary) 92b:54040 

— A note on a-regularity and compactness. (Serbo-Croatian summary) 92b:54045 

Lashien, E. F. see Abd El-Monsef, M. E.; et al., 92c:54002 

Maki, H. see Sundaram, P.; et al., 92j:54032c 

Muradov, F. Kh. Superassociative algebras of strongly closed many-place functions. 
(Russian. English and Azerbaijani summaries) 92m:54044 

Naimpally, Somashekhar see Di Maio, Giuseppe, 92f:54029 

Ogata, Hayao Operations on topological spaces and associated topology. 92¢:54004 

Onay, Hatice The Wallman compactification of semi pairwise 7; bitopological spaces. 
92b:54068 

Reilly, Ivan L. see Grant, Douglass L., 92b:54002 

Richter, Giinther Characterizations of algebraic and varietal categories of topological 
spaces. 92k:18004 

Simon, Petr see Giuli, Eraldo, 92b:54043 

Sundaram, P. (with Maki, H.; Balachandran, Krishnan) Semi-generalized continuous maps 
and semi-7}/2 spaces. 92j:54032c 

Tang, Rao Sheng Some cover properties of semi-open sets. (Chinese. English summary) 
92i:54002 

Teng, Hui o-products. (Chinese. English summary) 92b:54016 

Tzannes, V. Two countable Hausdorff almost regular spaces every continuous map of which 
into every Urysohn space is constant. 92h:54028 

Vetro, Pasquale see Di Bari, Cristina M., 92m:54040 

Weck-Schwarz, Sibylle 7p-objects and separated objects in topological categories. 
92g:54011 


54D15 Higher separation axioms (completely regular, normal, 
perfectly or collectionwise normal, etc.) 


Arkhangel'skii, A. V. (with Kotinac, Ljubisa) Ona dense G;-diagonal. 92f:54019 

Atsuji, Masahiko Generalization of the property M(x) and some questions. 92e:54015 

Daniels, Peg Separation in sequential spaces under PMEA. 92¢:54016 

Di Maio, Giuseppe (with Naimpally, Somashekhar; Pareek, Chandra Mohan) Remarks on 
some generalizations of completely regular spaces. 92d:54023 

Fleissner, William G. Normal measure axiom and Balogh’s theorems. 92f:54020 

Kemoto, Nobuyuki Collectionwise Hausdorffness at limit cardinals. 92h:54029 

Koétinac, Ljubi8a see Arkhangel'skii, A. V., 92f:54019 

Kombarov, A. P. Pseudonormality of F,-subsets of X? . A. (Russian) 92e:54017 

Naimpally, Somashekhar see Di Maio, Giuseppe; et al., 92d:54023 

Pareek, Chandra Mohan see Di Maio, Giuseppe; et al., 92d:54023 

Watson, W. Stephen Comments on separation. 924:54024 


Items with secondary classifications in 54D15 

Abd-Allah, A. S. see Tadros, S. F. 

Arya, Shashi Prabha (with Gupta, Kavita) New separation axioms in topological ordered 
spaces. 92¢:54036 

Bandy, C. Property Q. 92a:54029 

Daniels, Peg Normal k’-spaces are consistently collectionwise normal. 92g:54031 

Deak, J. On bitopological spaces. I. 92m:54054 

Diamond, Beverly Wallman prebases. 92¢e:54006 

Di Bari, Cristina M. (with Giovannelli, Nicold) Weakly normal topological spaces and 
upper semicontinuous functions. (Italian. English summary) 92g:54008 

Dorsett, Charles Higher semi separation axioms. 92f:54017 

van Douwen, Eric K. Nonnormality or hereditary paracompactness of some spaces of real 
functions. 92¢:54018 

Garcia-Maynez, Adalberto Normal covers and separation. 92g:54023 

Geaisa, A. N. On pairwise regularity. (Arabic summary) 92¢:54029 

Giovannelli, Nicold see Di Bari, Cristina M., 92g:54008 

Gupta, Kavita see Arya, Shashi Prabha, 92c:54036 

Iliadis, S. D. see Kontolatou, A.; et al., 92d:54043 

Juhasz, I. Ona problem of van Douwen. 92¢e:54003 

Kontolatou, A. (with Iliadis, S. D.; Stabakis, J.) Global and local regularities of ordered 
spaces. 92d:54043 

Kovatevié, [lija On nearly and almost paracompactness. 92b:54041 

Makai, Endre, Jr. The full embeddings of the categories of uniform spaces, proximity 
spaces and related categories into themselves and each other. I. 92g:18005 

MardeSi¢, Sibe Approximate inverse systems and approximate resolutions. 92d4:54015 

McMaster, T. B. M. On Pervin’s example concerning the connected-open topology. 
92h:54023 

Neves, Vitor Nonnormality of C?(M, N) in Whitney’s topology. 92m:58010 

Porter, Jack R. (with Woods, R. Grant) Normal spaces with prescribed Stone-Cech 
remainders. 92f:54026 

Reznichenko, E. A. Normality and collective normality of function spaces. (Russian) 
92b:46003 

Stabakis, J. see Kontolatou, A.; et al., 92d:54043 

Tadros, S. F. (with Abd-Allah, A. S.) On some separation axioms in bitopological spaces. 
(Arabic summary) 

Teng, Hui Ona problem of Y. Yajima. 92d:54009 

Woods, R. Grant see Porter, Jack R., 92f:54026 

Yajima, Yukinobu Some advances in the study of the normality of Z-products. 92g:54007 


— A characterization of normal covers of a normal space. II. (Serbo-Croatian summary) 
92a:54023 


















917 





1992 


54D20 Noncompact covering properties (paracompact, Lindeléf, 
etc.) 


Al-Nashef, Bassam Cover-developments and D-paracompact spaces. 92e:54018 

Chen, Zhao Jiang Strong (m, n)-compactness of topological spaces. (Chinese. English 
summary) 

Dai, Mu Min (with Liu, Chuan) Spaces in which Lindeléf closed sets have countable local 
bases. 92j:54029 

Dorsett, Charles Semicontinuity and semicompactness. 92j:54030 

Fedeli, Alessandro A-pseudocompact spaces. (Italian. English summary) 92b:54038 

Fukutake, Takayoshi see Ogata, Hayao, 92j:54032e 

Ganster, Maximilian (with Reilly, Ivan L.) On F-closed spaces. 92i:54027 

Gao, Yin Zhu Almost second countable spaces, almost first countable spaces and almost 
separable spaces. (Chinese summary) 

Garcia-Miaynez, Adalberto Normal covers and separation. 92g:54023 

Gavrushenko, E. V. Paracompactness-type properties for some classes of spaces. (Russian) 
(see 92m:54001) 

Giuli, Eraldo A generalization of compactness and perfectness. 92k:54024 

Hdeib, Hasan Z. On strongly L-spaces. 92b:54039 

— On para-Lindeléf and meta-Lindeléf spaces. 92j:54031 

Huang, Jia Gui Properties of d-paracompact spaces. (Chinese. English summary) 

Jiang, Hui You Products and characterizations of some covering properties. (Chinese. 
English summary) 

Kovatevi¢, Ilija Some properties of subsets and almost closed mappings. (Serbo-Croatian 
summary) 92b:54040 

— On nearly and almost paracompactness. 92b:54041 

Lawrence, L. Brian Lindeléf spaces concentrated on Bernstein subsets of the real line. 
92¢:54028 

Lin, Shou Note on kp-spaces. 92d:54025 

Liu, Chuan Note on point-countable k-networks. 92f:54021 

— see also Dai, Mu Min, 92j:54029 

Lapiaiiez, F.G. On some ultraparacompact spaces. 92b:54042 

Noiri, Takashi A note on F-closed spaces. 92m:54045 

Ogata, Hayao (with Fukutake, Takayoshi) On op i ympactness, operation-nearly 
compactness and operation-almost compactness. 92j:54032e 

Pareek, Chandra Mohan On some generalizations of countably compact and Lindeléf 
spaces. 92g:54024 

— Perfect spaces. 92e:54019 

Paseka, Jan Paracompact locales and metric spaces. 92e:54020 

Raghavan, T.G. see Thanapalan, P. T. Daniel, 92e:54021 

Reilly, Ivan L. see Ganster, Maximilian, 92i:54027 

Schlitt, Greg M. N-compact frames. 92j:54033 

Tamariz-Mascarta, Angel Noetherian bases in spaces with an orthobase. 92a:54022 

Thanapalan, P. T. Daniel (with Raghavan, T.G.) Minimal topologies of almost para- 
Lindeléf spaces. 92e:54021 

— On nearly para-Lindeléf spaces. 92g:54025 

— Mappings and products of nearly para-Lindeléf spaces. 92k:54025 

Thivagar, M. Lellis Generalization of pairwise a-continuous functions. 

Yajima, Yukinobu A characterization of normal covers of a normal space. II. (Serbo- 
Croatian summary) 92a:54023 

Zhu, Jun! Some properties of irreducible spaces. (Chinese) 92m:54046 


Items with secondary classifications in 54D20 

Abd El-Monsef, M. E. (with Zeyada, F. M.; El-Deeb, S. N.; Hanafy, I. M.) Good extensions 
of paracompactness. 

Alster, K. On the Cartesian products of Lindeléf spaces with one factor hereditarily 
Lindeléf. 92k:54012 

Antonino, José A. see Romaguera, Salvador, (92b:00044) 

Arkhangel’skii, A. V. (with Khamdi, M. M. Genedi) The origin of the theory of relative 
topological properties. (Russian) 92¢:54014 

Atsuji, Masahike Generalization of the property (x) and some questions. 92¢e:54015 

Bella, Angelo Some consequences of an easy cardinal inequality involving separating open 
covers. (Italian summary) 92j:54004 

Bennett, Harold R. (with Chaber, J.) Weak covering properties and the class MOBI. 
92a:54012 

Bentley, H. L. Paracompact spaces. 92h:54034 

Blasco, José L. Complete bases in topological spaces. II. 92b:54050 

Chaber, J. see Bennett, Harold R., 92a:54012 

Daniels, Peg Separation in sequential spaces under PMEA. 92¢:54016 

van Douwen, Eric K. Nonnormality or hereditary paracompactness of some spaces of real 
functions. 92¢:54018 

El-Deeb, S. N. see Abd El-Mensef, M. E.; et al. 

Ergun, N. Notes on §,-Lindeléf spaces. (Italian summary) 92g:54002 

Fletcher, Peter (with Hunsaker, W.) Uniformly regular quasi-uniformities. 92b:54062 

Hanafy, I. M. see Abd El-Monsef, M. E.; et al. 

Hdeib, Hasan Z. C-scattered and Baire spaces. 92d:54028 

Hunsaker, W. see Fletcher, Peter, 92b:54062 

Kehlet, Esben T. Locally compact F’-spaces, sub-Stonean spaces and quotients of locally 
compact groups. 92k:46030 

Khamdi, M. M. Genedi see Arkhangel’skii, A. V., 92e:54014 

Marciszewski, Witold On properties of Rosenthal compacta. 92i:54023 

Marin, Josefa (with Romaguera, Salvador) On some types of pair open covers. (see 
92g:00024) 

Neves, Vitor Nonnormality of @°(M, N) in Whitney’s and related topologies when M is 
open. 92g:58014 

Noiri, Takashi Characterizations of S-closed Hausdorff spaces. 92k:54026 

Romaguera, Salvador (with Antonino, José A.) Quasimetric spaces whose set of accumula- 
tion points is compact. (Spanish. English summary) (see 92b:00044) 

— see also Marin, Josefa, (92g:00024) 

Teng, Hui o-products. (Chinese. English summary) 92b:54016 





54D Fairly general properties 





Zeyada, F.M. see Abd El-Monsef, M. E.; et al. 


54D25 “P-minimal” and “P-closed” spaces 
Noiri, Takashi Characterizations of S-closed Hausdorff spaces. 92k:54026 


Wang, Yan Geng A note ona theorem of R. M. Stephenson, Jr. (Chinese. English summary) 
92:54022 


Items with secondary classifications in 54D25 

Ahmad, Bashir (with Khan, Moizuddin; Noiri, Takashi) A note on semi-frontier. 
92d:54001 

Arya, Shashi Prabha see Nayar, Bhamini M. P. 

Carlson, John W. Balanced filters. 92f:54023 

Khan, Moizuddin see Ahmad, Bashir; et al., 92d:54001 

Nayar, Bhamini M. P. (with Arya, Shashi Prabha) Semi-topological properties. 

Noiri, Takashi see Ahmad, Bashir; et al., 92d:54001 


54D30 Compactness 


Balasubramanian, G. see Somasundaram, D. 

Bell, Murray G. Not all dyadic spaces are supercompact. 92¢:54029 

Feng, Han Qiao see Li, Bang He; et al., 92b:54046 

Giuli, Eraldo (with Simon, Petr) On spaces in which every bounded subset is Hausdorff. 
92b:54043 

Ikeda, Yoshito Cech-completeness and countably subcompactness. 92b:54044 

Kovaétevié, Ilija A note on a-regularity and compactness. (Serbo-Croatian summary) 
92b:54045 

Li, Bang He (with Feng, Han Qiao) Compactness degree and a generalization of the 
Tychonoff theorem. 92b:54046 

Messano, Basilio (with Zitarosa, A.) Some characterizations of the compact spaces. (Italian 
summary) 92b:54047 

Pol, Roman A converse to a theorem of K. Kuratowski on parametrizations of compacta on 
the Cantor set. 92m:54047 

Simon, Petr see Giuli, Eraldo, 92b:54043 

Somasundaram, D. (with Balasubramanian, G.) Characterizations of hereditarily nearly 
compact spaces. 

Veksler, A. I. Maximal nowhere dense sets and their applications to problems of existence 
of remote points and of weak P-points. 92¢:54030 

Vermeulen, J. J.C. Weak compactness in constructive spaces. 92i:54028 

Zitarosa, A. see Messano, Basilio, 92b:54047 


Items with secondary classifications in 54D30 

Allam, A. A. see Mashhour, Ali S.; et al. 

Antonino, José A. see Romaguera, Salvador, (92b:00044) 

Arkhangel'skii, A. V. (with Kotinac, Ljubia) Concerning splittability and perfect 
mappings. 92f:54011 

— (with Kotinac, Ljubi8a) On a dense G;-diagonal. 92f:54019 

Bankston, Paul Corrigendum to: “Taxonomies of model-theoretically defined topological 
properties” [J. Symbolic Logic 55 (1990), no. 2, 589-603; MR 91g:03065]. 92i:03030 

Cagliari, Francesca (with Mantovani, Sandra) Local homeomorphisms as the exponentiable 
morphisms in compact Hausdorff spaces. 92j:54014 

Cascales, B. (with Orihuela, J.) A sequential property of set-valued maps. 92m:54038 

Chadwick, J. J. A generalised form of compactness in fuzzy topological spaces. 92j:54005 

— Relative compactness and compactness of general subsets in an /-topological space. 
92m:54010 

Cleary, Joan (with Morris, Sidney A.) Compact groups and products of the unit interval. 
92k:22005 

De Prada Vicente, Ma. Angeles see Gutiérrez, Javier, (92m:00050) 

Deville, Robert (with Godefroy, Gilles) Applications des longues suites de projections. 
[Applications of long sequences of projections] 92g:46015 

— Convergence ponctuelle et uniforme sur un espace compact. (English and Russian 
summaries) [Pointwise and uniform convergence on a compact space] 92f:54002 

Diamond, Beverly Wallman prebases. 92¢:54006 

El-Deeb, S. N. see Mashhour, Ali S.; et al. 

Fedorchuk, V. V. Softness of mappings of subsets of locally convex spaces. (Russian) 
92d:54017 

Fletcher, Peter (with Hunsaker, W.) Uniformly regular quasi-uniformities. 92b:54062 

Giuli, Eraldo A generalization of compactness and perfectness. 92k:54024 

Godefroy, Gilles see Deville, Robert, 92g:46015 

Gutiérrez, Javier (with De Prada Vicente, Ma. Angeles) A note on fuzzy compactness. 
(Spanish. English summary) (see 92m:00050) 

Hasanein, I. A. see Mashhour, Ali S.; et al. 

Hola, Cubica (with Salat, Tibor) Graph convergence, uniform, quasi-uniform and 
continuous convergence and some characterizations of compactness. (Russian and Slovak 
summaries) 92b:54029 

Hunsaker, W. see Fletcher, Peter, 92b:54062 

Jankovi¢, Dragan S. (with Konstadilaki-Savvopoulou, Ch.) A note on characterizations of 
compactness. 92i:54018 

Khedr, F.H. (with Noiri, Takashi) On pairwise S-closed spaces. 

Kimura, Takashi A separable metrizable space X for which Cmp X # def X. (Russian 
summary) 92g:54042 

Kotinac, Ljubiga see Arkhangel’skii, A. V., 92f:54011 and 92£:54019 

Konstadilaki-Savvopoulou, Ch. see Jankovi¢é, Dragan S., 92i:54018 

Mantovani, Sandra see Cagliari, Francesca, 92j:54014 

MardeSié, Sibe (with Watanabe, Tadashi*) Approximate resolutions of spaces and 
mappings. (Serbo-Croatian summary) 92b:54019 

— Approximate inverse systems and approximate resolutions. 92d4:54015 

Mashhour, Ali S. (with Allam, A. A.; Hasanein, I. A.; El-Deeb, S. N.) Operation on 
supratopological spaces. (Arabic summary) 

Morris, Sidney A. see Cleary, Joan, 92k:22005 


54D30 


Noiri, Takashi see Khedr, F. H. 

Ogata, Hayao Remarks on operation-compact spaces. 92e:54004 

Orihuela, J. see Cascales, B., 92m:54038 

Pareek, Chandra Mohan On some generalizations of countably compact and Lindeléf 
spaces. 92g:54024 

Romaguera, Salvador (with Antonino, José A.) Quasimetric spaces whose set of accumula- 
tion points is compact. (Spanish. English summary) (see 92b:00044) 

Salat, Tibor see Hold, Lubica, 92b:54029 

Tkachenko, M.G. Countably compact and pseudocompact topologies on free abelian 
groups. (Russian) 92¢e:54044 

— Factorization theorems for topological groups and their applications. 92e:54045 

Wang, Yan Geng A note on a theorem of R. M. Stephenson, Jr. (Chinese. English summary) 
921:54022 

Watanabe, Tadashi‘ see MardeSi¢, Sibe, 92b:54019 

Xa, Xiao Quan Sheaf structures of N-compact sets and the fuzzy Wallace theorem. 
(Chinese) 92j:54010 


54D35 Extensions of spaces (compactifications, 
supercompactifications, completions, etc.) 


Baboolal, D. Fan-Gottesman type compactification of frames. 92b:54048 

— (with Banaschewski, B.) Compactification and local connectedness of frames. 92b:54049 

Banaschewski, B. Compactification of frames. 92j:54034 

— see also Baboolal, D., 92b:54049 

Berglund, John F. (with Hindman, Neil) Sums of idempotents in BN. 92k:54027 

Blasco, José L. Complete bases in topological spaces. II. 92b:54050 

Budak, Talin Oids, finite sums and the structure of the Stone-Cech compactification of a 
discrete semigroup. 92b:54051 

Carlson, John W. Balanced filters. 92f:54023 

Caterino, A. (with Vipera, Maria Cristina) Singular compactifications and compactification 
lattices. 92f:54024 

Chattopadhyay, K.C. (with Guin, Sushama) Further investigations on Wallman-type 
extensions. II. 92a:54024 

Davenport, Dennis E. (with Hindman, Neil) A proof of van Douwen’s right ideal theorem. 
92£:54025 

Diamond, Beverly Algebraic subrings and perfect compactifications. 924:54026 

van Douwen, Eric K. The Cech-Stone compactification of a discrete groupoid. 92g:54026 

Guin, Sushama see Chattopadhyay, K. C., 92a:54024 

Hindman, Neil The groups in BN. 92m:54048 

— Strongly summable ultrafilters on N and small maximal subgroups of BN. 92a:54025 

— (with van Mill, Jan; Simon, Petr) Increasing chains of ideals and orbit closures in BZ. 
92g:54027 

— see also Davenport, Dennis E., 92f:54025 and Berglund, John F., 92k:54027 

Iliadis, S. D. (with Tymchatyn, E. D.) Compactifications with minimum rim-types of 
rational spaces. 92g:54028 

Kent, Darrell C. (with Richardson, Gary D.) p-regular completions and compactifications. 
92e:54022 

Megrelishvili, M.G. Compactification and factorization in the category of G-spaces. 
92c:54031 

van Mill, Jan see Hindman, Neil; et al., 92g:54027 

Padmaja, C. P. On the lattices of compactifications of a product. 92g:54029 

Richardson, Gary D. see Kent, Darrell C., 92e:54022 

Sanz Garcia, Ma. Agripina see Tarrés i Freixenet, Juan, (92m:00050) 

Simon, Petr see Hindman, Neil; et al., 92g:54027 

Stannett, Mike The G-compactifications of a locally compact Hausdorff space. 92a:54026 

Strekolovskaya, N.S. On the maximum bicompactification of continuous mappings of 
completely regular spaces. (Russian) 92h:54030 

Tarrés i Freixenet, Juan (with Sanz Garcia, Ma. Agripina) F-countable compactifications 
of isocompact and locally compact spaces. (Spanish. English summary) (see 92m:00050) 

Tymchatyn, E. D. see Iliadis, S. D., 92g:54028 

Vipera, Maria Cristina see Caterino, A., 92f:54024 


Items with secondary classifications in 54D35 

Aarts, Jan M. (with Mrievié, M.) A bitopological view on cocompact extensions. 
92j:54040 

Awartani, Marwan M. Open images of compactifications of the ray. 92i:54017 

Benitez Trujillo, Francisco @(K,R) spaces, with K the zero-dimensional compactification of 
w. (Spanish. English summary) (see 92b:00044) 

Bolay, Ruhan Representation of types of ultrafilters with semi-groups. (Turkish summary) 
92:54028 

Budak, Talin Filters and semigroup properties. 92e:22008 

— Extremal topologies on a semigroup. 92f:22003 

Cascales, B. (with Orihuela, J.) A sequential property of set-valued maps. 92m:54038 

Caterino, A. (with Vipera, Maria Cristina) Wallman rings, disconnections and sub-direct 
sums. 92f:54015 

Diamond, Beverly The extending of closed maps over perfect compactifications. 92a:54015 

Dominguez Murillo, Eladio (with Hernandez, L. J.) Remarks about proper ends. 92b:55014 

Dydak, Jerzy (with Walsh, John J.) Spaces without cohomological dimension preserving 
compactifications. 92¢:54039 

Eklund, Patrik (with Gahler, Werner) Generalized Cauchy spaces. 92g:54036 

Fleissner, William G. (with Porter, Jack R.) The set of nonuniform ultrafilters is C*- 
embedded for singular cardinals. 92¢:54021 

Gahler, Werner see Eklund, Patrik, 92g:54036 

Gamon, Margaret A. (with Kent, Darrell C.) A note on ordered planes. 

Garcia-Maynez, Adalberto Normal covers and separation. 92g:54023 

Hernandez, L. J. see Dominguez Murillo, Eladio, 92b:55014 

Nliadis, S. D. see Kontolatou, A.; et al., 92d:54043 

Kent, Darrell C. see Gamon, Margaret A. 

Kontolatou, A. (with Iliadis, S. D.; Stabakis, J.) Global and local regularities of ordered 
spaces. 924:54043 


GENERAL TOPOLOGY 


1992 918 


Liu, Ying Ming (with Luo, Mao Kang) Lattice-valued mappings, completely distributive 
law and induced spaces. 92f:54004 

Luo, Mao Kang see Liu, Ying Ming, 92f:54004 

McCoy, Robert A. Dominating metrics and the fine topology. 92b:54026 

Mirzakhanyan, R. E. A triple of infinite iterations of a functor of an inclusion hyperspace— 
a fiberwise version. (Russian) 92d:54012 

Mrevi¢é, M. see Aarts, Jan M., 92j:54040 

Onay, Hatice The Wallman compactification of semi pairwise 7; bitopological spaces. 
92b:54068 

Orihuela, J. see Cascales, B., 92m:54038 

Porter, Jack R. (with Woods, R. Grant) Normal spaces with prescribed Stone-Cech 
remainders. 92:54026 

— see also Fleissner, William G., 92c:54021 

Richter, Giinther Axiomatizing the category of compact Hausdorff spaces. 92m:54024 

Roubitek, Tomas Convex compactifications and special extensions of optimization 
problems. 92f:49004 

Stabakis, J. see Kontolatou, A.; et al., 92d:54043 

Szeto, Mabel On separation of lattices. 92b:28015 

Todd, Aaron R. Pseudocompact sets, absolutely Warner bounded sets and continuous 
function spaces. 924:46065 

Umoh, Hanson a-inflatable semigroups. 92k:22002 

Vadachkoriya, A. L. On the construction of an analogue of the Stone-Cech extension for 
bitopological spaces. (Russian. English and Georgian summaries) 

Vipera, Maria Cristina see Caterino, A., 92f:54015 

Vlad, Carmen D. Semiseparation of lattices. 92c:28007 

— Remarks on semiseparation of lattices. 92b:28012 

Walsh, John J. see Dydak, Jerzy, 92c:54039 

Walters, Joanne Compactifications and uniformities on sigma frames. 92k:54029 

Woods, R. Grant see Porter, Jack R., 92f:54026 


54D40 Remainders 


Gryzlov, A. A. On the theory of the space BN. (Russian) 92e:54023 

Porter, Jack R. (with Woods, R. Grant) Normal spaces with prescribed Stone-Cech 
remainders. 92:54026 

Simon, Petr A note on nowhere dense sets in w*. 92j:54035 

Smith, Michel Layers of components of 8([{0, 1] x N) are indecomposable. 92g:54030 

Tkachuk, V. V. Remainders over discrete spaces—some applications. (Russian) 92d:54027 

Woods, R. Grant see Porter, Jack R., 92f:54026 


Items with secondary classifications in 54D40 
Awartani, Marwan M. Open images of compactifications of the ray. 92i:54017 


54D45 Local compactness, o-compactness 


Hdeib, Hasan Z. C-scattered and Baire spaces. 92d:54028 

Jankovi¢, Dragan S. (with Konstadilaki-Savvopoulou, Ch.; Reilly, Ivan L.) An answer toa 
question of Singal and Mathur. 

Konstadilaki-Savvopoulou, Ch. see Jankovi¢, Dragan S.; et al. 

Reilly, Ivan L. see Jankovié, Dragan S.; et al. 


Items with secondary classifications in 54D45 

Fleissner, William G. Normal measure axiom and Balogh’s theorems. 92f:54020 

Papadopoulos, Basil K. Between Ro and R,. (Serbo-Croatian summary) 92j:54028 

Porter, Jack R. (with Woods, R. Grant) Normal spaces with prescribed Stone-Cech 
remainders. 92f:54026 

Woods, R. Grant see Porter, Jack R., 92f:54026 


54D50 k-spaces 


Daniels, Peg Normal k’-spaces are consistently collectionwise normal. 92g:54031 
Isbell, John Note on k,, without separation. 92g:54032 
Onal, Siileyman Power stability of k-spaces and compactness. 92h:54031 


Items with secondary classifications in 54D50 
Lin, Shou Note on kr-spaces. 92d:54025 
Tanaka, Yoshio Necessary and sufficient conditions for products of k-spaces. 92e:54005 


54D55 Sequential spaces 
Dow, Alan A compact sequential space. 92f:54027 


Items with secondary classifications in 54D55 

Arkhangel’skii, A. V. (with Kocinac, Ljubia) Concerning splittability and perfect 
mappings. 92f:54011 

— (with Bella, Angelo; Cammaroto, Filippo) Weak monolithicity, pseudoradial and weakly 
radial spaces. (Italian summary) 92k:54028 

Bella, Angelo More on the product of pseudo radial spaces. 92d:54008 

— see also Arkhangel'skii, A. V.; et al., 92k:54028 

Bukovska, Zuzana (with Salat, Tibor) Some types of convergence of sequences of real- 
valued functions. (Russian and Slovak summaries) 92k:26016 

— Quasinormal convergence. 92k:26015 

Cammaroto, Filippo see Arkhangel’skii, A. V.; et al., 92k:54028 

Daniels, Peg Separation in sequential spaces under PMEA. 92¢:54016 

Garcia-Ferreira, Salvador On FU(p)-spaces and p-sequential spaces. 92m:54006 

Garcia-Maynez, Adalberto (with Illanes, Alejandro) A survey on unicoherence and related 
properties. 92i:54035 

Illanes, Alejandro see Garcia-Maynez, Adalberto, 92i:54035 

Koétinac, Ljubisa see Arkhangel’skii, A. V., 92f:54011 

Pochcial, Jan Sequential characterizations of metrizability. 92h:54038 





919 1992 


Porter, Jack R. (with Woods, R. Grant) Normal spaces with prescribed Stone-Cech 
remainders. 

Raha, Asit Baran Abundance of spaces akin to S,,. 92i:54013 

Salt, Tibor see Bukovsks, Zuzana, 92k:26016 

Tanaka, Yoshio Symmetric spaces, g-developable spaces and g-metrizable spaces. 
924:54018 

Woods, R. Grant see Porter, Jack R., 92f:54026 


54D60 Realcompactness and realcompactification 


Ferrer Villanueva, José R. see Sanchez Ruiz, Luis M., (92b:00044) and (92b:00044) 

Frié, Roman (with Kent, Darrell C.) The finite product theorem for certain epireflections. 
924:54029 

Kent, Darrell C. see Frit, Roman, 92d:54029 

Sanchez Ruiz, Luis M. (with Ferrer Villanueva, José R.) Conditions for a topological space 
to be a real-analytic space or a -space. (Spanish. English summary) (see 92b:00044) 

— (with Ferrer Villanueva, José R.) On the theorems of Nachbin and Shirota. (Spanish. 
English summary) (see 92b:00044) 


Items with secondary classifications in 54D60 

Blasco, José L. Complete bases in topological spaces. II. 92b:54050 

Bravo Villar, Ma. Pilar (with Santos, J. L.) A characterization of bornological C(X) spaces. 
92a:46028 

Diamond, Beverly The extending of closed maps over perfect compactifications. 92a:54015 

Henriksen, Melvin Rings of continuous functions from an algebraic point of view. 
92g:46025 

Rubio, J. E. A nonstandard characterization of realcompactness. 92k:54023 

Santos, J. L. see Bravo Villar, Ma. Pilar, 92a:46028 

Szeto, Mabel On separation of lattices. 92b:28015 


54D70 Base properties 


Items with secondary classifications in 54D70 


Diamond, Beverly Open maps on rimcompact spaces. 92m:54031 
Tamariz-Mascarta, Angel Noetherian bases in spaces with an orthobase. 92a:54022 


54D80 Special constructions of spaces (spaces of ultrafilters, etc.) 


Bolay, Ruhan Representation of types of ultrafilters with semi-groups. (Turkish summary) 
92:54028 


Zarichnyi, M. M. Iterated superextensions. (Russian) 92b:54052 


Items with secondary classifications in 54D80 

Aminpour, A. M. Spaces of functions determined by iterated limits “at infinity” on an oid. 
92j:22005 

Caterino, A. (with Vipera, Maria Cristina) Wallman rings, disconnections and sub-direct 
sums. 92f:54015 

van Douwen, Eric K. The number of cofinal ultrafilters. 92f:04003 

Umoh, Hanson a-inflatable semigroups. 92k:22002 

Vipera, Maria Cristina see Caterino, A., 92f:54015 


54D99 None of the above, but in this section 


Abd El-Monsef, M. E. (with Kozae, A.M.) Remarks on S-closed spaces. (Arabic summary) 
921:54029 

Ai, Wei Hong Separability of S;-spaces. (Chinese. English summary) 

Arkhangel’skii, A. V. (with Bella, Angelo; Cammaroto, Filippo) Weak monolithicity, 
pseudoradial and weakly radial spaces. (Italian summary) 92k:54028 

Bella, Angelo see Arkhangel’skii, A. V.; et al., 92k:54028 

Bhattacharyya, Paritosh see Kar, Ashish 

Cammaroto, Filippo see Arkhangel’skii, A. V.; et al., 92k:54028 

Collins, P. J. see Moody, P. J.; et al., 92e:54024 

Fitzpatrick, Ben, Jr. (with Zhou, Hao Xuan) Some open problems in densely homogeneous 
spaces. (see 92c:54001) 

Fremlin, D. H. Families of compact sets and Tukey’s ordering. 92¢:54032 

Gordienko, I. Yu. On relative properties of paracompactness and normality type. (Russian) 
92a:54027 

Hdeib, Hasan Z. (with Pareek, Chandra Mohan) A generalization of scattered spaces. 
92a:54028 

Kar, Ashish (with Bhattacharyya, Paritosh) Some weak separation axioms. 

Karimpour, Rahim G. Complementary topology and Boolean ring. 92b:54053 

Kozae, A. M. see Abd El-Monsef, M. E., 92i:54029 

Kunen, Kenneth Large homogeneous compact spaces. (see 92¢:54001) 

Michael, Ernest A. Almost complete spaces, hypercomplete spaces and related mapping 
theorems. 92h:54032 

Moody, P. J. (with Reed, George M.; Roscoe, A. W.; Collins, P. J.) A lattice of conditions 
on topological spaces. II. 92e:54024 

Narang, T. D. Uniquely remotal sets are singletons. 92j:54036 

Ori, R.G. Ona problem on resolvable spaces. 92b:54054 

Pareek, Chandra Mohan see Hdeib, Hasan Z., 92a:54028 

Reed, George M. see Moody, P. J; et al., 92e:54024 

Roscoe, A.W. see Moody, P. J.; et al., 92e:54024 

Zhou, Hao Xuan see Fitzpatrick, Ben, Jr., (92c:54001) 


Items with secondary classifications in 54D99 

Abd El-Monsef, M. E. (with Geaisa, A. N.; Lashien, E. F.) Separation axioms in supratopo- 
logical spaces. (Arabic summary) 92c:54002 

Bankston, Paul Corrigendum to: “Taxonomies of model-theoretically defined topological 
properties” [J. Symbolic Logic 55 (1990), no. 2, 589-603; MR 91g:03065]. 92i:03030 

El-Shafee, M. E. see Kandil, A. 


54E Spaces with richer structures 


Garcia-Ferreira, Salvador On FU(p)-spaces and p-sequential spaces. 92m:54006 

Geaisa, A. N. see Abd El-Monsef, M. E.; et al., 92c:54002 

Kandil, A. (with El-Shafee, M. E.) Separation axioms for fuzzy bitopological spaces. 

Lane, Ernest Paul Correction to: “A conjecture concerning X x J” [Questions Answers Gen. 
Topology 8 (1990), no. 2, 387-403; MR91k:54022]. 

— Corrections to: “A conjecture concerning X x J” [Questions Answers Gen. Topology 8 
(1990), no. 2, 387-403; MR 91k:54022}. 

Lashien, E. F. see Abd El-Monsef, M. E.; et al., 92c:54002 

Martinén, Antonio A system of axioms for measures of noncompactness. (Russian and 
Polish summaries) 92e:28004 

Singal, A.R. (with Yadav, D.S.) On semi-open sets. 

Webb, J. R. L. (with Zhao, Weiyu) On connections between set and ball measures of 
noncompactness. 92j:47104 

Yadav, D.S. see Singal, A. R. 

Zhao, Weiyu see Webb, J. R. L., 92j:47104 


54Exx Spaces with richer structures 


54E05 Proximity structures and generalizations 


Chattopadhyay, K.C. (with Hazra, R. N.) Theory of extensions of biclosure spaces and 
basic quasi-proximities. 92b:54055 

Csaszar, A. Extensions of closure and proximity spaces. 92e:54025 

— (with Deak, J.) Simultaneous extensions of proximities, semi-uniformities, contiguities 
and merotopies. I. 92g:54033 

Deak, J. see Csaszar, A., 92g:54033 

Di Maio, Giuseppe (with Naimpally, Somashekhar) A class of D-proximities. 92b:54056 

— (with Naimpally, Somashekhar) A general approach to symmetric proximities. 92f:54029 

— (with Naimpally, Somashekhar) D-proximity spaces. 92g:54034 

Hazra, R.N. see Chattopadhyay, K. C., 92b:54055 

Lemin, A. Yu. The Smirnov compactification functor is one-to-one over the class of 
complete first countable spaces. 92b:54057 

Naimpally, Somashekhar see Di Maio, Giuseppe, 92b:54056; 92f:54029 and 92g:54034 

Preuss, Gerhard N x 8N considered as proximity space is zero-dimensional. 92j:54037 

Walters, Joanne Compactifications and uniformities on sigma frames. 92k:54029 


Items with secondary classifications in 54E05 


Abd-Alla, M. A. see Ramadan, A. A., 92m:54020 

Chattopadhyay, K.C. (with Guin, Sushama) Further investigations on Wallman-type 
extensions. II. 

Deak, J. Extensions of quasi-uniformities for prescribed bitopologies. I, II. 92b:54058 

— Uniform and proximal extensions with cardinality limitations. 92g:54035 

Fletcher, Peter (with Hunsaker, W.) Uniformly regular quasi-uniformities. 92b:54062 

Guin, Sushama see Chattopadhyay, K. C., 92a:54024 

Hunsaker, W. see Fletcher, Peter, 92b:54062 

Leseberg, Dieter Zur Theorie limesformer Raume. I. [On the theory of limform spaces. I] 
92g:54039 

— Convergence structures. 92g:54001 

Pershin, Yu. P. Contiguities and proximities on mappings. 7;-compactifications of 
mappings. (Serbo-Croatian summary) 92h:54016 

Ramadan, A. A. (with Abd-Alla, M. A.) On smooth preproximity spaces. 92m:54020 

Schulz, Lech Set-spectrum method in structure comparison and the concept of topological 
kinship. 92d:92024 

Strekolovskaya, N.S. On the maximum bicompactification of continuous mappings of 
completely regular spaces. (Russian) 92h:54030 


54E15 Uniform structures and generalizations 


Bolzhiev, B. A. p-sequentially uniform spaces of p-compact groups. (Russian) (see 
92m:54001) 

Borubaev, A. A. Ordered uniform spaces. (Russian. Serbo-Croatian summary) 924:54030 

— On completeness and completions of uniformly continuous mappings. (Serbo-Croatian 
summary) 

Chekeev, A. A. Some properties of uniform weight and index of the boundedness of 
uniform spaces. (Russian) (see 92m:54001) 

Csaszar, A. (with Deak, J.) Simultaneous extensions of proximities, semi-uniformities, 
contiguities and merotopies. II. 92h:54033 

Deak, J. A non-completely regular quiet quasi-metric. 92d:54031 

— Extensions of quasi-uniformities for prescribed bitopologies. I, II. 92b:54058 

— Quasi-uniform extensions for finer topologies. 92b:54059 

— Notes on extensions of quasi-uniformities for prescribed topologies. 92f:54030 

— Uniform and proximal extensions with cardinality limitations. 92g:54035 

— see also Csaszar, A., 92h:54033 

Di Concilio, Anna On the Tukey-Shirota uniformity. 92b:54060 

Doichinov, Doichin B. Another class of completable quasi-uniform spaces. 92j:54038 

— Aconcept of completeness of quasi-uniform spaces. 92b:54061 

Dyikanov, T. K. On y-bounded and precompact uniform mappings. 

Eklund, Patrik (with Gahler, Werner) Generalized Cauchy spaces. 92g:54036 

Ferrario, Nathalie see Kiinzi, Hans-Peter A., 92e:54026 

Fletcher, Peter (with Hunsaker, W.) Uniformly regular quasi-uniformities. 92b:54062 

Frith, J. L. The category of uniform frames. (French summary) 92d:54032 

Giahler, Werner see Eklund, Patrik, 92g:54036 

Hohti, Aarno (with Pelant, Jan) On supercomplete uniform spaces. IV. Countable products. 
92g:54037 

— On supercomplete uniform spaces. V. Tamano’s product problem. 92g:54038 

Hunsaker, W. see Fletcher, Peter, 92b:54062 

Kiinzi, Hans-Peter A. (with Ferrario, Nathalie) Bicompleteness of the fine quasi- 
uniformity. 92¢:54026 





54E15 


Kurdics, J. (with Sz4z, Arpad) Connected relator spaces. 

Leseberg, Dieter Zur Theorie limesformer Raume. I. [On the theory of limform spaces. I] 
92g:54039 

— Clanformities and h-topological extensions. 92k:54030 

Marconi, Umberto Uniform paracompactness and uniform weight. 924:54033 

Pelant, Jan see Hohti, Aarno, 92g:54037 

Roelcke, Walter Incomplete infima of complete uniformities related to topological groups 
and topological vector spaces. 92¢:54033 

Rubié i Diaz, Pedro On a theorem of Bourbaki concerning uniform structures. (Spanish) 
(see 92b:00044) 

Szaz, Arpad Lebesgue relators. 92b:54063 

— see also Kurdics, J. 


Items with secondary classifications in 54E15 


Angelov, Vasil G. j-nonexpansive mappings in uniform spaces and applications. 92g:54057 

Atkin, C. J. Boundedness in uniform spaces, topological groups, and homogeneous spaces. 
92j:22006 

Avallone, Anna (with Basile, Achille) Integration: uniform structure. 92g:28011 

Baboolal, D. Locally connected compactifications. 92¢:54026 

Banaschewski, B. (with Briimmer, G. C. L.) Strong zero-dimensionality of biframes and 
bispaces. 92f:54034 

Basile, Achille see Avallone, Anna, 92g:28011 

Beer, Gerald A. (with Di Concilio, Anna) A generalization of boundedly compact metric 
spaces. 92m:54051 

Bella, Angelo Some consequences of an easy cardinal inequality involving separating open 
covers. (Italian summary) 92j:54004 

Borubaev, A. A. Decomposition of uniform spaces into inverse spectra. (Russian) 
92k:54013 

Brammer, G. C. L. see Banaschewski, B., 92£:54034 

Cammaroto, Filippo (with Cerin, Zvonko; Gianella, Gian Mario) Topologies on spaces of 
subsets. 92h:54011 

Cao, Ji Ling On hyperspace topologies of some quasiuniform spaces. (Chinese summary) 

Cerin, Zvonko see Cammaroto, Filippo; et al., 92h:54011 

De Castro, Rodrigo (with Varela, Januario) Localization in bundles of uniform spaces. 
92h:54013 

Di Concilio, Anna see Beer, Gerald A., 92m:54051 

Di Maio, Giuseppe (with Naimpally, Somashekhar; Pareek, Chandra Mohan) Remarks on 
some generalizations of completely regular spaces. 924:54023 

— (with Naimpally, Somashekhar) A general approach to symmetric proximities. 92f:54029 

Erné, Marcel (with Kopperman, Ralph) Natural continuity space structures on dual 
Heyting algebras. 92b:06024 

Fedorchuk, V. V. Completions of functional spaces and multivalued mappings. (Serbo- 
Croatian summary) 92h:54012 

Gianella, Gian Mario see Cammaroto, Filippo; et al., 92h:54011 

Henriksen, Melvin (with Kopperman, Ralph) A general theory of structure spaces with 
applications to spaces of prime ideals. 92j:14001 

Hicks, T. L. (with McKee, Rhonda) Near-completely homogeneous spaces. 92b:54064 

Horvath, Charles D. Contractibility and generalized convexity. 92f:52002 

Itzkowitz, Gerald L. Uniformities and uniform continuity on topological groups. 92j:54053 

Kopperman, Ralph see Erné, Marcel, 92b:06024 and Henriksen, Melvin, 92j:14001 

Kiinzi, Hans-Peter A. Completely regular ordered spaces. 92g:54046 

Leseberg, Dieter Convergence structures. 92g:54001 

Liang, Ji Hua Uniformities on completely distributive lattices. 92f:06010 

Makai, Endre, Jr. The full embeddings of the categories of uniform spaces, proximity 
spaces and related categories into themselves and each other. I. 92g:18005 

Mandelkern, Mark On the uniform continuity of Tietze extensions. 92¢:54034 

McKee, Rhonda see Hicks, T. L., 92b:54064 

Naimpally, Somashekhar (with Tikoo, Mohan L.) Nearness convergence. 92e:54002 

— see also Di Maio, Giuseppe; et al., 92d:54023 and 92£:54029 

Page, Warren * Topological uniform structures. 924:46001 

Pareek, Chandra Mohan see Di Maio, Giuseppe; et al., 92d:54023 

Seitbekov, A. Properties of multivalued mappings of uniform spaces. (Russian) (see 
92m:54001) 

Tikoo, Mohan L. see Naimpally, Somashekhar, 92e:54002 

Uspenskii, V. V. Free topological groups of metrizable spaces. (Russian) 92e:54043 

Varela, Januario see De Castro, Rodrigo, 92h:54013 


54E17 Nearness spaces 


Bentley, H.L. Paracompact spaces. 92h:54034 
Hicks, T. L. (with McKee, Rhonda) Near-completely homogeneous spaces. 92b:54064 
McKee, Rhonda see Hicks, T. L., 92b:54064 


Items with secondary classifications in 54E17 

Csaszar, A. (with Deak, J.) Simultaneous extensions of proximities, semi-uniformities, 
contiguities and merotopies. II. 92h:54033 

Deak, J. see Csaszar, A., 92h:54033 

Di Maie, Giuseppe (with Naimpally, Somashekhar) Abstract measure of oscillation and 
extension of functions. 92j:54015 

Leseberg, Dieter Clanformities and h-topological extensions. 92k:54030 

Naimpally, Somashekhar (with Tikoo, Mohan L.) Nearness convergence. 92e:54002 

— see also Di Maio, Giuseppe, 92j:54015 

Tikoo, Mohan L. see Naimpally, Somashekhar, 92¢:54002 


54E18 p-spaces, M-spaces, o-spaces, etc. 


Al-Shakhs, Adnan A. £*'-spaces, another generalization of a-spaces. 
Lin, Shou The dominated sum theorem for o-spaces. (Chinese) 92k:54031 


GENERAL TOPOLOGY 


Items with secondary classifications in 54E18 

Arkhangel’skii, A. V. (with Kotinac, Ljubiga) Concerning splittability and perfect 
mappings. 92f:54011 

Bolzhiev, B. A. p-sequentially uniform spaces of p-compact groups. (Russian) (see 
92m:54001) 

Ikeda, Yoshito Cech-completeness and countably subcompactness. 92b:54044 


Koétinac, LjubiSa A class of mappings and cardinal functions. (Serbo-Croatian summary) 
92i:54005 

— see also Arkhangel'skii, A. V., 92f:54011 

Lin, Shou Note on kp-spaces. 92d:54025 

Yajima, Yukinobu Some advances in the study of the normality of Z-products. 92g:54007 


54E20 Stratifiable spaces, cosmic spaces, etc. 


Gao, Zhi Min Some remarks on o-spaces. 92m:54049 

Levin, Michael (with Olsen, Gunnar H.; Sternfeld, Yaki) Finite-dimensional Polish spaces 
are extreme boundaries of convex bodies in Euclidean space. 92k:54032 

Lin, Shou Spaces having c-hereditarily closure-preserving k-networks. 92m:54050 

Marin, Josefa (with Romaguera, Salvador) Monotonically normal bitopological spaces. 
(Spanish. English summary) (see 92m:00050) 

Naimpally, Somashekhar (with Pareek, Chandra Mohan) Generalized metric spaces via 
annihilators. 92g:54040 

Olsen, Gunnar H. see Levin, Michael; et al., 92k:54032 

Pareek, Chandra Mohan see Naimpally, Somashekhar, 92g:54040 

Romaguera, Salvador see Marin, Josefa, (92m:00050) 

Sternfeld, Yaki see Levin, Michael; et al., 92k:54032 

Xia, Sheng Xiang A characterization of C-semistratifiable spaces. (Chinese. English 
summary) 92e:54027 


Items with secondary classifications in 54E20 
Fletcher, Peter (with Hunsaker, W.) Uniformly regular quasi-uniformities. 92b:54062 
Hunsaker, W. see Fletcher, Peter, 92b:54062 


Tanaka, Yoshio Symmetric spaces, g-developable spaces and g-metrizable spaces. 
924:54018 


54E25 Semimetric spaces 


Galvin, Fred (with Shore, S.D.) Distance functions and topologies. 92h:54035 

Konik, Tadeusz On the tangency of sets of some class in generalized metric spaces. 
92d:54034 

Shore, S. D. see Galvin, Fred, 92h:54035 


Items with secondary classifications in 54E25 


Cammaroto, Filippo On D-completely regular spaces. 92d:54022 

Di Maio, Giuseppe (with Naimpally, Somashekhar; Pareek, Chandra Mohan) Remarks on 
some generalizations of completely regular spaces. 92d:54023 

Marin, Josefa (with Romaguera, Salvador) Distance functions and equinormality. 
(Spanish. English summary) (see 92g:00024) 

Naimpally, Somashekhar see Di Maio, Giuseppe; et al., 92d:54023 

Pareek, Chandra Mohan see Di Maio, Giuseppe; et al., 92d:54023 

Pochcial, Jan Sequential characterizations of metrizability. 92h:54038 

Romaguera, Salvador see Marin, Josefa, (92g:00024) 


54E30 Moore spaces 


Balogh, Z. see Bennett, Harold R., 92h:54036 

Bennett, Harold R. (with Balogh, Z.) Quasi-developable manifolds. 92h:54036 

van Douwen, Eric K. (with Reed, George M.) On chain conditions in Moore spaces. II. 
924:54035 

Reed, George M. see van Douwen, Eric K., 92d:54035 


Items with secondary classifications in 54E30 

Arkhangel’skii, A. V. (with Koéinac, Ljubisa) Concerning splittability and perfect 
mappings. 92f:54011 

Bennett, Harold R. (with Chaber, J.) Weak covering properties and the class MOBI. 
92a:54012 

— (with Chaber, J.) A subclass of the class MOBI. 92a:54013 

Cammaroto, Filippo On D-completely regular spaces. 92d:54022 

Chaber, J. see Bennett, Harold R., 92a:54012 and 92a:54013 

Di Maio, Giuseppe (with Naimpally, Somashekhar; Pareek, Chandra Mohan) Remarks on 
some generalizations of completely regular spaces. 92d:54023 

— (with Naimpally, Somashekhar) A general approach to sy ric proximities. 92f:54029 

Dow, Alan (with Tall, Franklin D.; Weiss, William A. R.) New proofs of the consistency of 
the normal Moore space conjecture. I. 92b:54008a 

— (with Tall, Franklin D.; Weiss, William A. R.) New proofs of the consistency of the 
normal Moore space conjecture. II. 92b:54008b 

Ikeda, Yoshito Cech-completeness and countably subcompactness. 92b:54044 

Kaufman, Robert P. Sequence spaces and analytic sets. 92j:46025 

Kotinac, Ljubisa see Arkhangel’skii, A. V., 92f:54011 

Marin, Josefa (with Romaguera, Salvador) On some types of pair open covers. (see 
92g:00024) 

Naimpally, Somashekhar see Di Maio, Giuseppe; et al., 92d:54023 and 92f:54029 

Pareek, Chandra Mohan see Di Maio, Giuseppe; et al., 92d:54023 

Romaguera, Salvador see Marin, Josefa, (92g:00024) 

Tall, Franklin D. see Dow, Alan; et al., 92b:54008a and 92b:54008b 

Weiss, William A. R. see Dow, Alan; et al., 92b:54008a and 92b:54008b 








921 1992 


54E35 Metric spaces, metrizability 


Antonino, José A. (with Romaguera, Salvador) Equinormal metrics and upper semi- 
continuity. 92 

— see also Romaguera, Salvador, (92b:00044) 

Beer, Gerald A. (with Di Concilio, Anna) A generalization of boundedly compact metric 
spaces. 92m:54051 

Bennett, Harold R. (with Chaber, J.) A survey of the class MOBI. (see 92c:54001) 

Chaber, J. see Bennett, Harold R., (92c:54001) 

Di Concilio, Anna see Beer, Gerald A., 92m:54051 

Dobrowolski, T. (with Mogilski, Jerzy) Problems on topological classification of incomplete 
metric spaces. (see 92c:54001) 

Fedorchuk, V. V. On some geometric properties of functors. 92g:54041 

Ger, Joanna A closed epigraph theorem. 92m:54052 

Kimura, Takashi A separable metrizable space X for which Cmp X # def X. (Russian 
summary) 92g:54042 

Kotinac, LjubiSa A characterization of w,-metrizable spaces. (Serbo-Croatian summary) 
92h:54037 

Li, Jin Jin (with Lin, Shou) On equivalent spaces and locally separable spaces. (Chinese. 
English summary) 

Lin, Shou A note on metrization theorem. 

— see also Li, Jin Jin; et al. 

Mandelkern, Mark On the uniform continuity of Tietze extensions. 92¢:54034 

Marin, Josefa (with Romaguera, Salvador) Distance functions and equinormality. 
(Spanish. English summary) (see 92g:00024) 

— (with Romaguera, Salvador) A non-Archimedean metrization theorem. (Spanish. English 
summary) (see 92b:00044) 

Mogilski, Jerzy see Dobrowolski, T., (92c:54001) 

Nagata, Jun-iti Some construction. 92g:54043 

Pochcial, Jan Sequential characterizations of metrizability. 92h:54038 

Rassias, Themistocles M. Mappings that preserve unit distance. 924:54036 

Romaguera, Salvador (with Antonino, José A.) Quasimetric spaces whose set of accumula- 
tion points is compact. (Spanish. English summary) (see 92b:00044) 

— see also Antonino, José A., 92b:54065; Marin, Josefa, (92b:00044) and (92g:00024) 

Tzannes, V. A note on maximally resolvable spaces. 92d:54037 


Items with secondary classifications in 54E35 

Ageev, S.M. An equivariant Dugundji theorem. (Russian) 92h:54026 

Borsik, Jan On certain types of convergences. (Slovak summary) 92m:54004 

Bucur, I. G. Sur un théoréme de Choquet. [On a theorem of Choquet] 92m:54033 

Cammaroto, Filippo On D-completely regular spaces. 92d:54022 

Ewert, Janina On quasi-metrization of bitopological spaces. 92i:54031 

Fritsch, Rudolf (with Piccinini, Renzo A.) CW-complexes and Euclidean spaces. 
92k:54033 

Gahler, Siegfried (with Matel-Kaminska, Donata) Remarks on generalized metric discrete 
convergence spaces. 92a:65191 

Hdeib, Hasan Z. (with Pareek, Chandra Mohan) A generalization of scattered spaces. 
92a:54028 

Kary-Niyazov, Sh. Sh. Classes of co-absoluteness of Borel and hyper-Borel sets. (Russian) 
92a:54031 

Kisyiski, Jan Metrization of D,[0, 1] by Hausdorff distance between graphs. 92a:26002 

Kitahara, Kazuaki (with Tanaka, Katsumi’) A two decomposition of a bounded metric 
space. 92b:41053 

Kulshrestha, Devendra K. (with Sag, Tom W.; Yang, Lu) Average distance constants for 
polygons in spaces with nonpositive curvature. 92b:51025 

Kumar Shukla, Samir see Prakash, Ved 

Mai, Jie Hua (with Tang, Yun) On the injective metrization for infinite collapsible 
polyhedra. 92e:57033 

Marin, Josefa (with Romaguera, Salvador) On some types of pair open covers. (see 
92g:00024) 

— (with Romaguera, Salvador) Monotonically normal bitopological spaces. (Spanish. 
English summary) (see 92m:00050) 

Matel-Kaminska, Donata see Gahler, Siegfried, 92a:65191 

Mayer, J.C. (with Mohler, L. K.; Oversteegen, Lex G.; Tymchatyn, E. D.) Characterization 
of separable metric R-trees. 92h:54049 

McCoy, Robert A. Dominating metrics and the fine topology. 92b:54026 

Mohler, L. K. see Mayer, J. C.; et al., 92h:54049 

Moszytiska, Maria On metric inverse limits. 92d4:54010 

Mrozek, Marian Some remarks on Garay’s conjecture. 92i:54020 

Oversteegen, Lex G. see Mayer, J. C.; et al., 92h:54049 

Pareek, Chandra Mohan see Hdeib, Hasan Z., 92a:54028 

Paseka, Jan Paracompact locales and metric spaces. 92¢:54020 

Piccinini, Renzo A. see Fritsch, Rudolf, 92k:54033 

Prakash, Ved (with Kumar Shukla, Samir) A fixed point theorem for pair of mappings in 
2-metric space. 

Romaguera, Salvador see Marin, Josefa, (92g:00024) and (92m:00050) 

Sag, Tom W. see Kulshrestha, Devendra K.; et al., 92b:51025 

Saint-Pierre, Jean Un lusinien pour lequel il n’existe pas de topologie métrisable moins fine. 
[A Luzin space for which no less fine metrizable topology exists] 92d:54003 

Solovej, Jan Philip Some simple counterexamples to the Onsager lemma on metric spaces. 
92m:82015 

Tanaka, Katsumi” see Kitahara, Kazuaki, 92b:41053 

Tang, Yun see Mai, Jie Hua; et al., 92e:57033 

Tymchatyn, E. D. see Mayer, J. C.; et al., 92h:54049 

Wang, Ti Fu Extension of a continuous function on a closed set in a metric space. (Chinese. 
English summary) 92a:54016 

Yang, Lu see Kulshrestha, Devendra K.; et al., 92b:51025 

Zhu, Jian Ping A remark on R. Pol’s theorem concerning A-weakly infinite-dimensional 
spaces. 924:54047 


54E Spaces with richer structures 


54E40 Special maps on metric spaces 


Cohen, Regina B. Set isometries and their extensions in the max metric. 92b:54066 

Herburt, Irmina On intrinsic isometries and rigid subsets of Euclidean spaces. 92e:54028 

Rudnik, Krzysztof Concerning the rigidity problem for subsets of E?. (Russian summary) 
92¢:54035 


Items with secondary classifications in 54E40 


Ayerbe Toledano, José M. see Dominguez Benavides, T., 92f:47058 

Dijkstra, Jan J. (with Mogilski, Jerzy) The topological product structure of systems of 
Lebesgue spaces. 92h:46028 

Dominguez Benavides, T. (with Ayerbe Toledano, José M.) Set-contractions and ball- 
contractions in L?-spaces. 92f:47058 

Hata, Masayoshi Topological aspects of self-similar sets and singular functions. (see 
92£:58002) 

Kato, Hisao (with Kawamura, Kazuhiro) A class of continua which admit no expansive 
homeomorphisms. 92¢:54038 

— On expansiveness of shift homeomorphisms of inverse limits of graphs. 92h:54054 

— (with Koyama, Akira; Tymchatyn, E. D.) Mappings with zero surjective span. 92g:54048 

Kawamura, Kazuhiro see Kato, Hisao, 92e:54038 

Koyama, Akira see Kato, Hisao; et al., 92g:54048 

Mogilski, Jerzy see Dijkstra, Jan J., 92h:46028 

Popa, Valeriu Fixed points on two complete metric spaces. (Serbo-Croatian summary) 

Rassias, Themistocles M. On the stability of mappings. (Italian summary) 92f:51014 

Tymchatyn, E. D. see Kato, Hisao; et al., 92g:54048 


54E45 Compact (locally compact) metric spaces 


Items with secondary classifications in 54E45 

Cengiz, Bahattin On invariant properties of X under isomorphisms of Co(X). (Turkish 
summary) 924:46069 

Ergun, N. A note on Euclidean balls. (Turkish summary) 92¢:54008 

Kennedy, Judy Some facts about homogeneity properties. 92b:54072 

Khanin, L.G. Kantorovich-Rubinstein norm and its application in the theory of Lipschitz 
spaces. 92i:46026 

Nikiel, Jacek (with Tuncali, H. M.; Tymchatyn, E. D.) On the rim-structure of continuous 
images of ordered compacta. 92¢:54046 

Popa, Valeriu Fixed points on two complete metric spaces. (Serbo-Croatian summary) 

Tuncali, H.M. see Nikiel, Jacek; et al., 92c:54046 

Tymchatyn, E. D. see Nikiel, Jacek; et al., 92c:54046 

Zarichnyi, M. M. On covariant topological functors. II. 92i:18004 

Zivanovié, Zarko On é-retractible compacta. (Russian summary) 92g:54013 


54E50 Complete metric spaces 


Banaés, Jézef (with Martinén, Antonio) Some properties of the Hausdorff distance in metric 
spaces. 92h:54039 

Doichinov, Doichin B. Cauchy sequences and completeness in quasi-metric spaces. 
92f:54031 

Gonzalez, Manuel (with Martinén, Antonio) Note on the Hausdorff measure of noncom- 
pactness. 92j:54039 

Kundu, Swapna On a topology of the set of bounded tight contents. 92m:54053 

Martinén, Antonio see Banas, Jézef, 92h:54039 and Gonzalez, Manuel, 92j:54039 

Morgan, John C., II On completeness. 92i:54030 

Romaguera, Salvador (with Salbany, Sergio) On the Niemytzki-Tychonoff theorem for 
distance spaces. 92f:54032 

Salbany, Sergio see Romaguera, Salvador, 92f:54032 


Items with secondary classifications in 54E50 

Arkhangel’skii, A. V. (with Kotinac, LjubiSa) On a dense G;-diagonal. 92f:54019 

Beer, Gerald A. A Polish topology for the closed subsets of a Polish space. 92¢:54009 

Heath, Jo 2-to-1 maps with hereditarily indecomposable images. 92¢:54012 

Hladnik, Milan Inverse limits and their applications. (Slovenian. English summary) 

Ikeda, Yoshito Cech-completeness and countably subcompactness. 92b:54044 

Kirk, W. A. Nearest and farthest points of closed sets in hyperbolic spaces. 92m:46026 

Kotinac, Ljubisa see Arkhangel’skii, A. V., 92f:54019 

Kulesza, John The dimension of products of complete separable metric spaces. 92b:54074 

Lawrence, L. Brian Lindeléf spaces concentrated on Bernstein subsets of the real line. 
92c:54028 

Michael, Ernest A. Almost complete spaces, hypercomplete spaces and related mapping 
theorems. 92h:54032 

Popa, Valeriu Fixed points on two complete metric spaces. (Serbo-Croatian summary) 

Wright, J. D. Maitland Generic countable equidecomposability. 92a:28004 


54E52 Baire category, Baire spaces 


Chin, S.T. (with Tsutsumi, Akira) On Baire function theorems in ranked space. 92b:54067 

Dougherty, Daniel J. A strong Baire category theorem for products. 92f:54033 

Ferrando, Juan Carlos see Sanchez Ruiz, Luis M., (92g:00024) 

Foran, James (with Liebnitz, Paul) A characterization of almost resolvable spaces. 
92g:54044 

Ganster, Maximilian see Jankovi¢, Dragan S.; et al., 92h:54040 

Hamlett, T. R. see Rose, David A.; et al. 

Jankovié, Dragan S. (with Ganster, Maximilian; Reilly, Ivan L.) A characterization of Baire 
spaces. 92h:54040 

— see also Rose, David A.; et al. 

Liebnitz, Paul see Foran, James, 92g:54044 

Reilly, Ivan L. see Jankovi¢, Dragan S.; et al., 92h:54040 

Rose, David A. (with Jankovi¢é, Dragan S.; Hamlett, T. R.) On weakly Baire spaces. 





54E52 


Sanchez Ruiz, Luis M. (with Ferrando, Juan Carlos) A note on Baire spaces. (Spanish) (see 


92g:00024) 

Sanz Garcia, Ma. Agripina see Tarrés i Freixenet, Juan, (92m:00050) 

Tarrés i Freixenet, Juan (with Sanz Garcia, Ma. Agripina) On Cech-complete spaces. 
(Spanish. English summary) (see 92m:00050) 

Tsutsumi, Akira see Chin, S. T., 92b:54067 


Items with secondary classifications in 54E52 

Aarts, Jan M. (with Mrsevié, M.) A bitopological view on cocompact extensions. 
925:54040 

Borubaev, A. A. On completeness and completions of uniformly continuous mappings. 
(Serbo-Croatian summary) 

Dyikanov, T. K. On u-bounded and precompact uniform mappings. 

Fletcher, Peter (with Hunsaker, W.) Uniformly regular quasi-uniformities. 92b:54062 

Hdeib, Hasan Z. C-scattered and Baire spaces. 92d:54028 

Hunsaker, W. see Fletcher, Peter, 92b:54062 

Mrevi¢é, M. see Aarts, Jan M., 92j:54040 

Pol, Elzbieta Function spaces in dimension theory and factorization theorems. 92e:54012 

TiSer, J. (with Zajitek, Ludék) Typical measurable function in the topology of close 
approximation. 92k:28016 

Wilson, Terence E. A fugue on Bernstein sets. 92b:28003 

Wright, J. D. Maitland Generic countable equidecomposability. 92a:28004 

Zajitek, Ludék see TiSer, J., 92k:28016 


54E55 _ Bitopologies 


Aarts, Jan M. (with Mrsevic, M.) A bitopological view on cocompact extensions. 
92j:54040 

Abd-Allah, A. S. see Tadros, S. F. 

Allam, A. A. see Mashhour, Ali S.; et al., 92d:54038 

Alshibani, A. M. see Khedr, F. H. 

Banaschewski, B. (with Brimmer, G. C. L.) Strong zero-dimensionality of biframes and 
bispaces. 92f:54034 

Borubaev, A. A. Uniform analogues of some classes of topological spaces. (Russian) (see 
92m:54001) 

Brammer, G. C. L. see Banaschewski, B., 92f:54034 

Deak, J. Bimerotopies. I, I]. 92h:54041 

— On bitopological spaces. I. 92m:54054 

Dube, K. K. (with Tiwari, R. K.; Panwar, O.S.) A note on pairwise K-continuous mapping. 

Ewert, Janina On quasi-metrization of bitopological spaces. 92i:54031 

Geaisa, A. N. On pairwise regularity. (Arabic summary) 92¢e:54029 

Hasanein, I. A. see Mashhour, Ali S.; et al., 924:54038 

Jelié, Milena Feebly p-continuous mappings. 92¢:54030 

Khedr, F. H. 6-irresolute mappings in bitopological spaces. (Arabic summary) 92m:54055 

— (with Alshibani, A. M.) On pairwise super continuous mappings in bitopological spaces. 

— (with Noiri, Takashi) On pairwise S-closed spaces. 

Konstadilaki-Savvopoulou, Ch. (with Lambrinos, P.) On bitopological boundedness. 

Lambrinos, P. see Konstadilaki-Savvopoulou, Ch. 

Marin, Josefa (with Romaguera, Salvador) On some types of pair open covers. (see 
92g:00024) 

Mashhour, AliS. (with Allam, A. A.; Hasanein, I. A.) Bisupratopological spaces. (Arabic 
summary) 924:54038 

Mrevi¢é, M. see Aarts, Jan M., 92j:54040 

Noiri, Takashi see Khedr, F. H. 

Onay, Hatice The Wallman compactification of semi pairwise 7; bitopological spaces. 
92b:54068 

Panwar, O.S. see Dube, K. K.; et al. 

Rabrenovi¢é, M. D. Characterizations of basic bitopological separation axioms. 924:54039 

Romaguera, Salvador see Marin, Josefa, (92g:00024) 

Tadros, S. F. (with Abd-Allah, A. S.) On some separation axioms in bitopological spaces. 
(Arabic summary) 

Tiwari, R. K. see Dube, K. K.; et al. 

Vadachkoriya, A. L. On the construction of an analogue of the Stone-Cech extension for 
bitopological spaces. (Russian. English and Georgian summaries) 

Xin, Yu Mei Some properties of the bicontiguous spaces and pairwise contiguous spaces. 

— Bicontiguous spaces and their properties. (Chinese. English summary) 


Items with secondary classifications in 54E55 

Allam, A. A. (with Zahran, A.M.) Almost continuity and weakly continuity in bifuzzy 
topological spaces. 

Arya, Shashi Prabha (with Nour, T.M.) Pairwise almost locally connected spaces. 

Balachandran, Krishnan see Maki, H.; et al., 92j:54032b 

Deak, J. Extensions of quasi-uniformities for prescribed bitopologies. I, II. 92b:54058 

— Quasi-uniform extensions for finer topologies. 92b:54059 

Dube, K. K. (with Panwar, O. S.; Tiwari, R. K.) On weakly pairwise irresolute mappings. 
92e:54010 

Ewert, Janina Remarks on generalized continuity of multivalued maps with respect to two 
topologies. 92a:54018 

Jeli¢é, Milena On pairwise LC-continuous mappings. 92a:54011 

Maki, H. (with Sundaram, P.; Balachandran, Krishnan) On generalized continuous maps 
and pasting lemma in bitopological spaces. 92j:54032b 

Marin, Josefa (with Romaguera, Salvador) Monotonically normal bitopological spaces. 
(Spanish. English summary) (see 92m:00050) 

Nour, T. M. see Arya, Shashi Prabha 

Panwar, O.S. see Dube, K. K.; et al., 92e:54010 

Romaguera, Salvador (with Salbany, Sergio) On the Niemytzki-Tychonoff theorem for 
distance spaces. 92f:54032 

— see also Marin, Josefa, (92m:00050) 

Salbany, Sergio see Romaguera, Salvador, 92f:54032 

Sundaram, P. see Maki, H.; et al., 92j:54032b 


GENERAL TOPOLOGY 


Thivagar, M. Lellis Generalization of pairwise a-continuous functions. 

Tiwari, R. K. see Dube, K. K.; et al., 92e:54010 

Wa, Cong Xin (with Wu, Jian Rong”) Quasipseud ization of fuzzy bitopological 
spaces. (Chinese. English summary) 

Wa, Jian Rong? see Wu, Cong Xin; et al. 

Zahran, A. M. see Allam, A. A. 





54E70 Probabilistic metric spaces 


Che, Su Bing The theory and applications of generalized H-space. (Chinese. English 
summary) 

Chen, Zhao Jiang Notes on the compactness property and separation property of probabilis- 
tic metric spaces. (Chinese. English summary) 

Damas Serrano, Antonio (with Quesada Molina, José Juan) Some functionals for copulas. 
(Spanish. English summary) (see 92b:00044) 

Fang, Jin Xuan A note on isometric metrization of probabilistic metric spaces. 

Hadzi¢é, Olga On multivalued contractions in probabilistic metric spaces. (Serbo-Croatian 
summary) 

— On coincidence points in probabilistic metric spaces with a convex structure. (Serbo- 
Croatian summary) 

Qian, Zi Qiang see Yan, Ge Xing; et al. 

Quesada Molina, José Juan see Damas Serrano, Antonio, (92b:00044) 

Yan, Ge Xing (with Qian, Zi Qiang) Menger product spaces and metrizations of some 
probabilistic metric spaces. (Chinese. English summary) 

You, Zhao Yong (with Zhu, Lin Hu) The best weak t-norm of probabilistic metric space. 

Zhang, Yi Min? see Zhao, Zhen Fan; et al. 

Zhao, Zhen Fan (with Zhang, Yi Min?) Topologies for probabilistic metric spaces. 
(Chinese. English summary) 

Zhu, Lin Hu see You, Zhao Yong; et al. 


Items with secondary classifications in 54E70 

Chamola, K. P. (with Dimri, R. C.; Pant, B.D.) On nonlinear contractions on Menger 
spaces. 

— (with Pant, B. D.; Singh, Shyam Lal) Common fixed point theorems for probabilistic 
densifying mappings. 92m:54075 

Chen, Zhao Jiang Common fixed point theorems for commuting maps on SST-probabilistic 
metric spaces. (Chinese. English summary) 

Constantin, Gheorghe (with Istratescu, loana) * Elements of probabilistic analysis with 
applications. 92g:46097 

Dimri, R. C. (with Pand, B. D.) Fixed point theorems in non-Archimedean Menger spaces. 

— see also Chamola, K. P.; et al. 

Dé Hong Tan On the probabilistic Hausdorff distance and fixed point theorems for 
multivalued contractions. 92a:54038 

Fang, Jin Xuan Fixed point theorems of local contraction mappings on Menger spaces. 
(Chinese. English summary) 92b:54085 

Ganguly, Ashok (with Rajput, A. S.; Tuteja, B.S.) Fixed points of probabilistic densifying 
mappings. 

(Giurgiutiu, Victor) see Constantin, Gheorghe, 92g:46097 

Hadzi¢é, Olga Common fixed point theorems in probabilistic metric spaces with a convex 
structure. (Serbo-Croatian summary) 92b:54086 

He, Pei Jun The variational principle in fuzzy metric spaces and its applications. 
92m:54014 

Istratescu, Ioana see Constantin, Gheorghe, 92g:46097 

Pand, B. D. see Dimri, R. C. 

Pant, B. D. see Chamola, K. P.; et al., 92m:54075 

Prats, F. (with Rovira, R.; Sanchez, M.) Indistinguishability operators with probabilistic 
values. 92a:04011 

Rajput, A.S. see Ganguly, Ashok; et al. 

Rovira, R. see Prats, F.; et al., 92a:04011 

Sanchez, M. see Prats, F.; et al., 92a:04011 

Singh, Shyam Lal see Chamola, K. P.; et al., 92m:54075 

Stojakovi¢é, Mila Some new types of contractions in Menger spaces. 92e:54051 

Tuteja, B.S. see Ganguly, Ashok; et al. 

Zhang, Yi Min? Quotient spaces of probabilistic normed linear spaces. (Chinese. English 
summary) 92j:46141 


54E99 None of the above, but in this section 


Cervenansky, Jaroslav Another view of distance sets and ratio sets. (Russian and Slovak 
summaries) 92d:54040 

Fritsch, Rudolf (with Piccinini, Renzo A.) CW-complexes and Euclidean spaces. 
92k:54033 

Gao, Zhi Min On a question of T. Mizokami. 92m:54058 

Ge, Ying On the problem of T. Mizokami. 92m:54056 

Lin, Shou On Lashnev spaces. (Chinese) 

— Countable products of Lashnev spaces. (Chinese. English summary) 92d:54041 

Liu, Chuan Spaces with a o-compact finite k-network. 92m:54057 

Piccinini, Renzo A. see Fritsch, Rudolf, 92k:54033 

Ribarska, N. K. A note on fragmentability of some topological spaces. 92d:54042 

Vuza, Dan Tudor Uniform continuity and uniform convergence. 92b:54069 

Zheng, Quan? The topological structure of abstract metric spaces. (Chinese. English 
summary) 


Items with secondary classifications in 54E99 

Aarts, Jan M. (with Oversteegen, Lex G.) Whitney’s regular families of curves revisited. 
(see 92a:00038) 

Adamek, Jiti On quasitopos hulls of topological categories. 92g:54010 

Al-Shakhs, Adnan A. £*’-spaces, another generalization of o-spaces. 

Filipczak, Tomasz A note on topologies related to (x*)-porosity. 92a:26010 

Kelar, Vaclav Topologies generated by porosity and strong porosity. 92a:26009 





923 1992 


Naimpally, Somashekhar (with Pareek, Chandra Mohan) Generalized metric spaces via 
annihilators. 92g:54040 

Olszewski, Wojciech Embeddings of finite-dimensional spaces into finite products of 1- 
dimensional spaces. 92g:54051 

Oversteegen, Lex G. see Aarts, Jan M., (92a:00038) 

Pareek, Chandra Mohan see Naimpally, Somashekhar, 92g:54040 

Pochcial, Jan Sequential characterizations of metrizability. 92h:54038 


54Fxx Special properties 


54F05 Ordered topological spaces, partially ordered spaces 
[see also 06B30, 06F30] 


Arya, Shashi Prabha (with Gupta, Kavita) New separation axioms in topological ordered 
spaces. 92c:54036 

Bandy, C. Property Q. 92a:54029 

Bennett, Harold R. (with Lutzer, D. J.) Problems in perfect ordered spaces. (see 92c:54001) 

Borges, Carlos R. LOTS and GO spaces. 92g:54045 

Chung, S. H. Almost a-convex quasi-ordered syntopogenous spaces. 92m:54059 

Conserva, Vincenzo (with Rizzo, S.) Maximal elements in a class of order complete metric 
subspaces. 

Frommer, Andreas On asynchronous iterations in partially ordered spaces. 92m:54060 

Gamon, Margaret A. (with Kent, Darrell C.) A note on ordered planes. 

Gupta, Kavita see Arya, Shashi Prabha, 92c:54036 

lliadis, S. D. see Kontolatou, A.; et al., 92d:54043 

Kent, Darrell C. see Gamon, Margaret A. 

Khalimsky, Efim (with Kopperman, Ralph; Meyer, Paul R.) Computer graphics and 
connected topologies on finite ordered sets. 92c:54037 

Kontolatou, A. (with Iliadis, S. D.; Stabakis, J.) Global and local regularities of ordered 
spaces. 92d:54043 

Kopperman, Ralph see Khalimsky, Efim; et al., 92c:54037 

Kiinzi, Hans-Peter A. Completely regular ordered spaces. 92g:54046 

Latzer, D. J. see Bennett, Harold R., (92c:54001) 

van Maaren, Hans Fixed point theory in multiply ordered spaces. (French summary) 
92h:54042 

Meyer, Paul R. see Khalimsky, Efim; et al., 92c:54037 

Rizzo, S. see Conserva, Vincenzo 

Stabakis, J. see Kontolatou, A.; et al., 92d:54043 

Tyugashov, G.S. P-stretched spaces. (Russian) 92h:54043 


Items with secondary classifications in 54F05 

Abraham, Uri (with Bonnet, Robert) Every superatomic subalgebra of an interval algebra is 
embeddable in an ordinal algebra. 92i:06021 

Baldwin, Stewart Some limitations toward extending Sarkovskii’s theorem to connected 
linearly ordered spaces. 92e:58064 

Bonnet, Robert see Abraham, Uri, 92i:06021 

Borubaev, A. A. Ordered uniform spaces. (Russian. Serbo-Croatian summary) 924:54030 

Candeal, Juan Carlos (with Indurain Eraso, Esteban) Utility functions on partially ordered 
topological groups. 92i:90018 

Corominas, Ernest Sur les ensembles ordonnés projectifs et la propriété du point fixe. 
(English summary) [On projective ordered sets and the fixed-point property] 92b:06002 

Erné, Marcel (with Vainio, R.) Connectivity in lattice-ordered spaces. 92h:06007 

Holte, Sarah E. An order-theoretic characterization of Peano continua. 92j:54043 

IManes, Alejandro The space of Whitney levels. 92i:54014 

Indurdin Eraso, Esteban see Candeal, Juan Carlos, 92i:90018 

Jha, S.N. A characterisation of least upper bound in linearly ordered spaces. 92b:06001 

Krtscha, Manfred (with Volkmann, Peter) Uber die Stetigkeit einer Funktion von zwei 
Veranderlichen unter Mi ie-Bedi gen. (English summary) [On the continuity of 
a function of two variables under conditions of monotonicity] 92m:54027 

Lawson, Jimmie D. (with Mislove, Michael W.) Problems in domain theory and topology. 
(see 92c:54001) 

Maehara, Ryuji Local cut-points in the connected continuous images of compact ordered 
spaces. II. 

Mislove, Michael W. see Lawson, Jimmie D., (92c:54001) 

Morillon, Marianne Ensembles totalement ordonnés et axiomes de choix. [Totally ordered 
sets and axioms of choice] 92c:03058 

Muthuvel, Kandasamy Nowhere dense set mappings on the generalized linear continua. 
92a:04007 

Neeb, Karl-Hermann Objects dual to subsemigroups of groups. 92k:22003 

Nikiel, Jacek (with Tuncali, H. M.; Tymchatyn, E. D.) A locally connected rim-countable 
continuum which is the continuous image of no arc. 92j:54046 

Tuncali, H. M. see Nikiel, Jacek; et al., 92j:54046 

Tymchatyn, E. D. see Nikiel, Jacek; et al., 92j:54046 

Vainio, R. see Erné, Marcel, 92h:06007 

Volkmann, Peter see Krtscha, Manfred, 92m:54027 

Wang, En Yuan A generalization of L-fuzzy continuous order-homeomorphisms. (Chinese. 
English summary) 

Zheng, Quan’ The topological structure of abstract metric spaces. (Chinese. English 
summary) 





54F15 Continua and generalizations 


Aarts, Jan M. (with Hagopian, Charles L.; Oversteegen, Lex G.) The orientability of 
matchbox manifolds. 92h:54044 

Barge, Marcy (with Brown, Morton) Problems in dynamics on continua. 92i:54032 

Bellamy, David P. (with Lewis, Wayne) An orientation reversing homeomorphism of the 
plane with invariant pseudo-arc. 92g:54047 

Brown, Morton Fundamental regions of planar homeomorphisms. 92h:54045 


54F Special properties 


54F15 


— see also Barge, Marcy, 92i:54032 

Charatonik, Janusz J. Absolutely terminal continua and confluent mappings. 92k:54034 

Chatyrko, V. A. Some sufficient conditions for the snakelikeness of compacta and their 
application. (Russian) 92e:54031 

Cook, Howard (with Ingram, W. T.; Lelek, A.) Eleven annotated problems about continua. 
(see 92¢:54001) 

Curry, Stephen B. One-dimensional nonseparating plane continua with disjoint e-dense 
subcontinua. 92j:54041 

Duda, Edwin (with Krupski, Pawel; Rogers, James T., Jr.) On locally chainable homoge- 
neous continua. 92m:54061 

Hagopian, Charles L. Fixed-point problems in continuum theory. 92i:54033 

— see also Aarts, Jan M.; et al., 92h:54044 

Holmes, M. Randall There is a continuum which is connected by uniformly short paths but 
not uniformly path connected. 92j:54042 

Holte, Sarah E. An order-theoretic characterization of Peano continua. 92j:54043 

Ingram, W.T. see Cook, Howard; et al., (92c:54001) 

Kato, Hisao (with Koyama, Akira; Tymchatyn, E. D.) Mappings with zero surjective span. 
92g:54048 

Kawamura, Kazuhiro Span zero continua and the pseudo-arc. 92b:54070 

— (with Prajs, Janusz R.) Another application of the Effros theorem to the pseudo-arc. 

54049 


92g: 

Kennedy, Judy Infinite products of Cook continua. 92b:54071 

— Some facts about homogeneity properties. 92b:54072 

— A technique for constructing examples. (see 92a:00038) 

Koyama, Akira Contractibility of continua admitting arc-structures. 92¢:54032 

— see also Kato, Hisao; et al., 

Krupski, Pawel (with Rogers, James T., Jr.) Finitely cyclic homogeneous continua. 
92c:54038 

— see also Duda, Edwin; et al., 92m:54061 

Kuperberg, Krystyna A lower bound for the number of fixed points of orientation reversing 
homeomorphisms. 92j:54044 

Lee, Taejin Every contractible fan has the bend intersection property. (Russian summary) 
92a:54030 

Lelek, A. see Cook, Howard; et al., (92c:54001) 

Lewis, Wayne Continuum theory and dynamics problems. 92e:54033 

— The pseudo-arc. 92h:54046 

— see also Bellamy, David P., 92g:54047 

Liu, Li Yu Another special embedding of pseudo-arc. 92m:54062 

Loveland, L. D. The double midset conjecture for continua in the plane. 92h:54047 

— (with Loveland, S. M.) Equidistant sets in plane triodic continua. 92i:54034 

Loveland, S.M. see Loveland, L. D., 92i:54034 

Maehara, Ryuji Local cut-points in the connected continuous images of compact ordered 
spaces. II. 

Miklos, S. Weakly confluent images of unicoherent generalized continua. 92e:54034 

Mine, Piotr (with Transue, W. R. R.) Accessible points of hereditarily decomposable 
chainable continua. 92j:54045 

Nall, Van C. (with Vought, Eldon J.) Partial confluence of maps onto graphs and inverse 
limits of single graphs. 92h:54048 

Nikiel, Jacek (with Tuncali, H. M.; Tymchatyn, E. D.) A locally connected rim-countable 
continuum which is the continuous image of no arc. 92j:54046 

Oversteegen, Lex G. see Aarts, Jan M.; et al., 92h:54044 

Prajs, Janusz R. see Kawamura, Kazuhiro, 92g:54049 

Rogers, James T., Jr. see Krupski, Pawel, 92c:54038 and Duda, Edwin; et al., 92m:54061 

Transue, W. R. R. see Minc, Piotr, 92j:54045 

Treybig, L. B. Some properties of hereditarily locally connected continua related to the 
Hann-Mazurkiewicz theorem. 92j:54047 

Tuncali, H.M. see Nikiel, Jacek; et al., 92j:54046 

Tymchatyn, E. D. see Kato, Hisao; et al., 92g:54048 and Nikiel, Jacek; et al., 92j:54046 

Vought, Eldon J. see Nall, Van C., 92h:54048 


Items with secondary classifications in 54F15 

Aarts, Jan M. (with Oversteegen, Lex G.) On one-to-one continuous images of R. 
92k:54040 

Awartani, Marwan M. Open images of compactifications of the ray. 92i:54017 

Bae, Jong Sook (with Lee, Seong Gil; Yang, Seung Kab) Periodic properties for mappings 
of continua. 92k:54047 

Bankston, Paul Corrigendum to: “Taxonomies of model-theoretically defined topological 
properties” [J. Symbolic Logic 55 (1990), no. 2, 589-603; MR 91g:03065]. 92i:03030 

Barge, Marcy (with Kennedy, Judy) Continuum theory and topological dynamics. (see 
92c:54001) 

— (with Gillette, Richard M.) Rotation and periodicity in plane separating continua. 
92m:54070 

Brechner, B. L. (with Guay, M. D.; Mayer, J.C.) Rotational dynamics on cofrontiers. (see 
92a:00038) 

Cauty, Robert L’espace des pseudo-arcs d’une surface. (English summary) [The space of 
pseudo-arcs of a surface] 92j:57011 

— L’espace des arcs d’une surface. (English summary) [The space of arcs of a surface] 
92j:57012 

Charatonik, Janusz J. Generalized homogeneity of curves and a question of H. Kato. 
(Russian summary) 92¢:54042 

— Dendroids without ordinary points. 92b:54075 

Debski, W. (with Mioduszewski, J.) Simple plane images of the Sierpiriski triangular curve 
are nowhere dense. 92e:54039 

Dydak, Jerzy (with Segal, Jack) A list of open problems in shape theory. (see 92c:54001) 

Gillette, Richard M. see Barge, Marcy, 92m:54070 

Guay, M. D. see Brechner, B. L.; et al., (92a:00038) 

Heath, Jo 2-to-1 maps with hereditarily indecomposable images. 92c:54012 

— 2-to-1 maps on hereditarily indecomposable continua. 92¢:54013 

Hiraide, Koichi Positively expansive open maps of Peano spaces. 92e:54047 

Hosokawa, Hiroshi Mappings of hyperspaces induced by refinable mappings. 92a:54006 





54F15 


Ilanes, Alejandro The space of Whitney levels. 92i:54014 

Karimpour, Rahim G. Topological entropy of a homeomorphism on a tree. 92h:54027 

Kato, Hisao (with Kawamura, Kazuhiro) A class of continua which admit no expansive 
homeomorphisms. 92e:54038 

— On some sequential strong Whitney-reversible properties. (Russian summary) 92e:54007 

— On expansiveness of shift homeomorphisms of inverse limits of graphs. 92h:54054 

— Expansive homeomorphisms and indecomposability. 92m:54065 

Kawamura, Kazuhiro Some productive classes of maps which are related to confluent maps. 
92k:54016 

— see also Kato, Hisao, 92e:54038 

Kennedy, Judy see Barge, Marcy, (92c:54001) 

Lee, Seong Gil see Bae, Jong Sook; et al., 92k:54047 

Mahavier, William S. Embeddings of simple indecomposable continua in the plane. 


92¢:54043 
Mayer, J.C. (with Tymchatyn, E. D.) Universal rational spaces. 92c:54044 
— (with Tymchatyn, E. D.) Containing spaces for planar rational compacta. 92¢:54045 
— see also Brechner, B. L.; et al., (92a:00038) 
Mioduszewski, J. see Debski, W., 92e:54039 
Nadler, Sam B., Jr. ¢-selections. 92c:54011 
Oversteegen, Lex G. see Aarts, Jan M., 92k:54040 
Prajs, Janusz R. On completeness of spaces of open mappings on continua. 92k:54017 
Rogers, James T., Jr. Tree-like curves and three classical problems. (see 92c:54001) 
Schori, Richard M. Chaos: an introduction to some topological aspects. 92f:58113 
Segal, Jack see Dydak, Jerzy, (92c:54001) 
Tymchatyn, E. D. see Mayer, J. C., 92¢:54044 and 92c:54045 
Yang, Seung Kab see Bae, Jong Sook; et al., 92k:54047 
Zarichnyi, M. M. Iterated superextensions. (Russian) 92b:54052 
Zivanovi¢, Zarko On e-retractible compacta. (Russian summary) 92g:54013 


54F45 Dimension theory [see also 55M10] 


Aarts, Jan M. (with van Maaren, Hans) Preference numbers and funnel dimension. 
92b:54073 

Attiya, Kh. see Choban, M. M., 924:54044 

Chatyrko, V. A. On the transfinite dimension dim. 92k:54035 

— Weakly finite-dimensional spaces. (Russian) 92k:54036 

Choban, M. M. (with Attiya, Kh.) The dimension of remainders of Stone-Cech compactifi- 
cations of metrizable spaces. (Russian) 92d:54044 

Criado, Regino see Tarrés i Freixenet, Juan, (92b:00044) 

Cuchillo-Ibaiiez, Eduardo A relation between the strong small transfinite and the D- 
dimension. 92e:54035 

Dranishnikov, A. N. On the realization of the dimension functions. III. (Russian) 
92j:54048 

— (with West, James E.) On compacta that intersect unstably in Euclidean space. 
92m:54063 

Dydak, Jerzy (with Walsh, John J.) Spaces without cohomological dimension preserving 
compactifications. 92¢:54039 

Engelking, R. (with Olszewski, Wojciech) Monotone sequences of strongly zero- 
dimensional subspaces. 92¢:54040 

Garcia-Maynez, Adalberto (with Illanes, Alejandro) A survey on unicoherence and related 
properties. 92i:54035 

Hayashi, Yoshiaki An axiomatic characterization of the dimension of subsets of Euclidean 
spaces. 92¢:54041 

Illanes, Alejandro see Garcia-Maynez, Adalberto, 92i:54035 

Kimura, Takashi Dimensions of topological groups containing the bouquet of two circles. 
92g:54050 

Kotkin, S. V. The dimension of not totally normal spaces. (Russian) 92¢:54036 

Krasinkiewicz, Jézef (with Lorentz, Krzysztof) Disjoint membranes in cubes. (Russian 
summary) 924:54045 

Kulesza, John The dimension of products of complete separable metric spaces. 92b:54074 

— A two-point set must be zero-dimensional. 92m:54064 

Levin, Michael Dimension and superposition of continuous functions. 92e:54037 

Lorentz, Krzysztof see Krasinkiewicz, Jézef, 92d:54045 

Labenets, Yu. V. The Hurewicz theorem for fundamental dimension. (Russian) 92k:54037 

van Maaren, Hans see Aarts, Jan M., 92b:54073 

Olszewski, Wojciech see Engelking, R., 92c:54040 

Pol, Roman Questions in dimension theory. (see 92c:54001) 

Rojo Montijano, José J. Continuous extension of functions between spaces with transfinite 
topological dimension. (Spanish. English summary) (see 92m:00050) 

— see also Tarrés i Freixenet, Juan, (92b:00044) 

Tarrés i Freixenet, Juan (with Criado, Regino) The locally finite sum theorem in w-strongly 
ordinaily dimensional spaces. (Spanish. English summary) (see 92b:00044) 

— (with Rojo Montijano, José J.) S-dimension: a transfinite extension of the Lebesgue 
topological dimension. (Spanish. English summary) (see 92b:00044) 

Walsh, John J. see Dydak, Jerzy, 92c:54039 

West, James E. see Dranishnikov, A. N., 92m:54063 

Yamada, Kohzo On classification of small weakly infinite-dimensional spaces. 92d:54046 

Zhu, Jian Ping A remark on R. Pol’s theorem concerning A-weakly infinite-dimensional 
spaces. 924:54047 


Items with secondary classifications in 54F45 

Banaschewski, B. (with Brimmer, G. C. L.) Strong zero-dimensionality of biframes and 
bispaces. 92f:54034 

Beggs, Edwin J. (with Evans, David E.) The real rank of algebras of matrix valued 
functions. 92¢:46114 

Briimmer, G. C. L. see Banaschewski, B., 92f:54034 

Chatyrko, V. A. Some sufficient conditions for the snakelikeness of compacta and their 
application. (Russian) 92e:54031 

Dranishnikov, A. N. (with Repovs, Dusan; Shchepin, E. V.) On intersections of compacta 
of complementary dimensions in Euclidean space. 92g:57032 


GENERAL TOPOLOGY 


1992 924 


— Spanier-Whitehead duality and the stability of intersections of compact spaces. (Russian) 
92h:55003 

Dydak, Jerzy (with Segal, Jack) A list of open problems in shape theory. (see 92c:54001) 

— (with Walsh, John J.) Estimates of the cohomological dimension of decomposition 
spaces. 92g:55001 

Evans, David E. see Beggs, Edwin J., 92e:46114 

Karno, Z. On w-essential mappings onto manifolds. 924:57016 

Levin, Michael (with Olsen, Gunnar H.; Sternfeld, Yaki) Finite-dimensional Polish spaces 
are extreme boundaries of convex bodies in Euclidean space. 92k:54032 

Lonéar, Ivan Resolutions and infinite-di lity. 92b:54018 

Mitchell, W. J. R. (with Repovs, Dugan) The topology of cell-like mappings. 92f:54012 

Murphy, Gerard J. Dimension theory and stable rank. $2i:46084 

Nikiel, Jacek (with Tuncali, H. M.; Tymchatyn, E. D.) On the rim-structure of continuous 
images of ordered compacta. 92c:54046 

Olsen, Gunnar H. see Levin, Michael; et al., 92k:54032 

Pesin, Ya. B. Generalized spectrum for the dimension: the approach based on 
Carathéodory’s construction. 92i:58104 

Pol, Elzbieta Function spaces in dimension theory and factorization theorems. 92e:54012 

Preuss, Gerhard N x BN considered as proximity space is zero-dimensional. 92j:54037 

Repovs, Dugan see Mitchell, W. J. R., 92f:54012 and Dranishnikov, A. N.; et al., 92g:57032 

Rubin, Leonard R. Characterizing cohomological dimension: the cohomological dimension 
of AUB. 92g:55002 

Segal, Jack see Dydak, Jerzy, (92c:54001) 

Shakhmatov, D. B. Zerodimensionality of free topological groups and topological groups 
with noncoinciding dimensions. (Russian summary) 924:54052 

Shchepin, E. V. see Dranishnikov, A. N.; et al., 92g:57032 

Sternfeld, Yaki see Levin, Michael; et al., 92k:54032 

Tuncali, H. M. see Nikiel, Jacek; et al., 92¢:54046 

Tymchatyn, E. D. see Nikiel, Jacek; et al., 92c:54046 

Walsh, John J. see Dydak, Jerzy, 92g:55001 

Watanabe, Tadashi* Approximate resolutions and covering dimension. 92d:54016 

West, James E. Open problems in infinite-dimensional topology. (see 92c:54001) 





Items listed otherwise than by author 


(Japanese) [Cohomological dimension and soft maps] 92i:55002 
Symposium: 
Cohomological Dimension and Soft Maps * Kohomorojii jigen to sofuto shazo no 
kenkya. (Japanese) [Cohomological dimension and soft maps] 92i:55002 


54F50 Spaces of dimension < 1; curves, dendrites 
[see also 26A03] 


Charatonik, Janusz J. Generalized homogeneity of curves and a question of H. Kato. 
(Russian summary) 92c:54042 

— Dendroids without ordinary points. 92b:54075 

Collins, P. J. On the topological structure of curves. 92j:54049 

Kato, Hisao (with Kawamura, Kazuhiro) A class of continua which admit no expansive 
homeomorphisms. 92e:54038 

— Expansive homeomorphisms and indecomposability. 92m:54065 

Kawamura, Kazuhiro Each map from the Cantor set to the pseudo-arc is null pseudo- 
homotopic. 92k:54038 

— see also Kato, Hisao, 92e:54038 

Mahavier, William S. Embeddings of simple indecomposable continua in the plane. 
92¢:54043 

Mayer, J.C. (with Tymchatyn, E. D.) Universal rational spaces. 92c:54044 

— (with Tymchatyn, E. D.) Containing spaces for planar rational compacta. 92¢:54045 

— (with Mohler, L. K.; Oversteegen, Lex G.; Tymchatyn, E. D.) Characterization of 
separable metric R-trees. 92h:54049 

Messano, Basilio Continuous functions from an arcwise connected tree into itself: periodic 
points, global convergence, plus-global convergence. (Italian summary) 92d:54048 

Mohler, L. K. see Mayer, J. C.; et al., 92h:54049 

Nikiel, Jacek (with Tymchatyn, E. D.) Sets of end-points and ramification points in 
dendroids. 92k:54039 

— (with Tuncali, H. M.; Tymchatyn, E. D.) On the rim-structure of continuous images of 
ordered compacta. 92¢:54046 

Olszewski, Wojciech Embeddings of finite-dimensional spaces into finite products of 1- 
dimensional spaces. 92g:54051 

Oversteegen, Lex G. Factorizations of mappings through arcs. 92i:54036 

— see also Mayer, J. C.; et al., 92h:54049 

Rogers, James T., Jr. Tree-like curves and three classical problems. (see 92¢:54001) 

Tuncali, H. M. see Nikiel, Jacek; et al., 92c:54046 

Tymchatyn, E. D. see Mayer, J. C., 92c:54044; 92c:54045; Nikiel, Jacek; et al., 92¢:54046; 
Mayer, J. C.; et al., 92h:54049 and Nikiel, Jacek, 92k:54039 


Items with secondary classifications in 54F50 

Ayala, R. (with Dominguez Murillo, Eladio; Marquez, Alberto; Qui 
homotopy classification of graphs. 92a:55008 

Brechner, B. L. (with Guay, M. D.; Mayer, J.C.) Rotational dynamics on cofrontiers. (see 
92a:00038) 

Charatonik, Janusz J. Monotone mappings of universal dendrites. 92a:54014 

Curry, Stephen B. One-dimensional nonseparating plane continua with disjoint e-dense 
subcontinua. 92j:54041 

Dominguez Murillo, Eladio see Ayala, R.; et al., 92a:55008 

Duda, Edwin (with Krupski, Pawel; Rogers, James T., Jr.) On locally chainable homoge- 
neous continua. 92m:54061 

Guay, M. D. see Brechner, B. L.; et al., (92a:00038) 

Holte, Sarah E. An order-theoretic characterization of Peano continua. 92j:54043 

Kato, Hisao On expansiveness of shift homeomorphisms of inverse limits of graphs. 
92h:54054 





, A.) Proper 





925 1992 


Kawamura, Kazuhiro Some productive classes of maps which are related to confluent maps. 
92k:54016 

Krupski, Pawel (with Rogers, James T., Jr.) Finitely cyclic homogeneous continua. 
92c:54038 

— see also Duda, Edwin; et al., 92m:54061 

Lewis, Wayne The pseudo-arc. 92h:54046 

Loveland, L. D. (with Loveland, S. M.) Equidistant sets in plane triodic continua. 
921:54034 

Loveland, S. M. see Loveland, L. D., 92i:54034 

Marquez, Alberto see Ayala, R.; et al., 92a:55008 

Marsh, M. M. e-mappings onto a tree and the fixed point property. 92h:54060 

Mayer, J.C. see Brechner, B. L.; et al., (92a:00038) 

Quintero, A. see Ayala, R.; et al., 92a:55008 

Rogers, James T., Jr. see Krupski, Pawel, 92c:54038 and Duda, Edwin; et al., 92m:54061 

Zivanovié, Zarko On 2-retractible compacta. (Russian summary) 92g:54013 


54F55 Unicoherence, multicoherence 


Items with secondary classifications in 54F55 

Aarts, Jan M. (with Oversteegen, Lex G.) On one-to-one continuous images of R. 
92k:54040 

Lee, Taejin Every contractible fan has the bend intersection property. (Russian summary) 
92a:54030 

Oversteegen, Lex G. see Aarts, Jan M., 92k:54040 


54F65 Topological characterizations of particular spaces 

Aarts, Jan M. (with Oversteegen, Lex G.) On one-to-one continuous images of R. 
92k:54040 

Debski, W. (with Mioduszewski, J.) Simple plane images of the Sierpinski triangular curve 
are nowhere dense. 92¢:54039 

Mioduszewski, J. see Debski, W., 92e:54039 

Oversteegen, Lex G. see Aarts, Jan M., 92k:54040 


Items with secondary classifications in 54F65 

Dijkstra, Jan J. (with van Mill, Jan; Mogilski, Jerzy) Classification of finite-dimensional 
universal pseudo-boundaries and pseudo-interiors. 92j:57013 

Kawamura, Kazuhiro Some productive classes of maps which are related to confluent maps. 
92k:54016 

Lewis, Wayne The pseudo-arc. 92h:54046 

Loveland, L. D. (with Loveland, S. M.) Equidistant sets in plane triodic continua. 
92i:54034 

Loveland, S. M. see Loveland, L. D., 92i:54034 

Mayer, J.C. (with Mohler, L. K.; Oversteegen, Lex G.; Tymchatyn, E. D.) Characterization 
of separable metric R-trees. 92h:54049 

Messano, Basilio Continuous functions from an arcwise connected tree into itself: periodic 
points, global convergence, plus-global convergence. (Italian summary) 92d:54048 

van Mill, Jan see Dijkstra, Jan J.; et al., 92j:57013 

Mogilski, Jerzy see Dijkstra, Jan J.; et al., 92j:57013 

Mohler, L. K. see Mayer, J. C.; et al., 92h:54049 

Oversteegen, Lex G. see Mayer, J. C.; et al., 92h:54049 

Simon, Petr Points in extremally disconnected compact spaces. 92f:54036 

Thomassen, Carsten A characterization of the 2-sphere in terms of Jordan curve separation. 
92k:57028 

Tymchatyn, E. D. see Mayer, J. C.; et al., 92h:54049 


54F99 None of the above, but in this section 


Lorentz, Krzysztof On products of essential mappings onto intervals. (Russian summary) 
92d:54049 


Items with secondary classifications in 54F99 

Feldman, David Victor A weakly homogeneous rigid space. 92e:54040 

Jakobsche, W. Homogeneous cohomology manifolds which are inverse limits. 92i:57019 
Katsuura, Hidefumi Pseudocontraction and homotopy of the sin(1/x) curve. 92j:55020 


Zhou, You Cheng Continuous mappings and the set function I. (Chinese. English summary) 
92a:54021 


54Gxx Peculiar spaces 


54G05 Extremally disconnected spaces, F-spaces, etc. 


Choo, Koo Guan see Sun, Shu Hao, 92m:54066 

Csaszar, A. Iliadis absolutes for arbitrary spaces. 92k:54041 

Henriksen, Melvin Spaces with a pretty base. 92b:54076 

Kubiak, Tomasz On extremally disconnected subspaces. 92b:54077 

Paseka, Jan (with Sekanina, P.) A note on extremally disconnected frames. 92f:54035 

Sekanina, P. see Paseka, Jan, 92f:54035 

Simon, Petr Points in extremally disconnected compact spaces. 92f:54036 

Sun, Shu Hao (with Choo, Koo Guan) New properties of the concentric circle space and its 
applications to cardinal inequalities. 92m:54066 


Items with secondary classifications in 54G05 


Madden, James J. x-frames. 924:06030 
Simon, Petr A note on nowhere dense sets in w*. 92j:54035 
Zakharov, Valerii Konstantinovich Borel cover and Borel extension. 92i:54024 


54H Connections with other structures, applications 


54G10 P-spaces 


Items with secondary classifications in 54G10 
Giuli, Eraldo A generalization of compactness and perfectness. 92k:54024 


54G15 Pathological spaces 


Items with secondary classifications in 54G15 


Babich, Amy Scrawny Cantor sets are not definable by tori. 92i:57012 

Brechner, B. L. (with Guay, M. D.; Mayer, J.C.) Rotational dynamics on cofrontiers. (see 
92a:00038) 

Chatyrko, V. A. Some sufficient conditions for the snakelikeness of compacta and their 
application. (Russian) 92e:54031 

Guay, M. D. see Brechner, B. L.; et al., (92a:00038) 

Lupiaiiez, F.G. On some ultraparacompact spaces. 92b:54042 

Mayer, J.C. see Brechner, B. L.; et al., (92a:00038) 


54G20 Counterexamples 


Kulesza, John (with Levy, Ronnie) Separation in ‘Y-spaces. 92i:54037 
Levy, Ronnie see Kulesza, John, 92i:54037 


Items with secondary classifications in 54G20 


Bell, Murray G. Not all dyadic spaces are supercompact. 92¢:54029 

Brechner, B. L. (with Guay, M. D.; Mayer, J.C.) Rotational dynamics on cofrontiers. (see 
92a:00038) 

Dijkstra, Jan J. (with van Mill, Jan; Mogilski, Jerzy) An AR-map whose range is more 
infinite-dimensional than its domain. 92¢:54022 

Ganster, Maximilian On strongly s-regular spaces. (Serbo-Croatian summary) 92f:54018 

Guay, M. D. see Brechner, B. L.; et al., (92:00038) 

Holmes, M. Randall There is a continuum which is connected by uniformly short paths but 
not uniformly path connected. 92j:54042 

Kennedy, Judy A technique for constructing examples. (see 92a:00038) 

Kulesza, John The dimension of products of complete separable metric spaces. 92b:54074 

Liu, Li Yu Another special embedding of pseudo-arc. 92m:54062 

Mayer, J.C. see Brechner, B. L.; et al., (92a:00038) 

van Mill, Jan see Dijkstra, Jan J.; et al., 92c:54022 

Mogilski, Jerzy see Dijkstra, Jan J.; et al., 92c:54022 

Raha, Asit Baran Abundance of spaces akin to S,,. 92i:54013 

Tamariz-Mascarta, Angel Noetherian bases in spaces with an orthobase. 92a:54022 

Tzannes, V. A note on maximally resolvable spaces. 92d:54037 


54G99 None of the above, but in this section 


Feldman, David Victor A weakly homogeneous rigid space. 92e:54040 


Items with secondary classifications in 54G99 


Gryzlov, A. A. On the theory of the space 8N. (Russian) 92¢e:54023 
Kulesza, John The dimension of products of complete separable metric spaces. 92b:54074 


54Hxx Connections with other structures, applications 


Items with secondary classifications in 54Hxx 
Page, Warren * Topological uniform structures. 92d:46001 


54H05 Descriptive set theory (topological aspects of Borel, 
analytic, projective, etc. sets) [see also 03E15, 04A15, 
26A21, 28A05] 


Adamski, Wolfgang On the interplay between a topology and its associated Baire and Borel 
o-algebra. 92f:54037 

Barua, Rana On the Borel hierarchies of countable products of Polish spaces. 924:54050 

Ciesielski, Krzysztof (with Larson, Lee M.) Category theorems concerning -% -density 
continuous functions. 92m:54067 

Isbell, John First steps in descriptive theory of locales. 92b:54078 

Kary-Niyazov, Sh. Sh. Classes of co-absoluteness of Borel and hyper-Borel sets. (Russian) 
92a:54031 

Kharazishvili, A. B. Luzin spaces and Bernstein sets. (Russian. English and Georgian 
summaries) 92b:54079 

— On the existence of sets that do not possess the Baire property. (Russian. English and 
Georgian summaries) 92i:54038 

Krawczyk, Adam On the Rosenthal compacta and analytic sets. 92j:54050 

Larson, Lee M. see Ciesielski, Krzysztof, 92m:54067 

Lipscomb, Stephen L. (with Perry, J.C.) Lipscomb’s L(A) space fractalized in Hilbert’s 
[?(A) space. 92j:54051 

Louveau, Alain Relations d’équivalence boréliennes. [Borel equivalence relations] 
92e:54041 

Maitra, Ashok (with Pestien, Victor; Ramakrishnan, S.) Domination by Borel stopping 
times and some separation properties. 92i:54039 

Miller, Arnold W. Projective subsets of separable metric spaces. 92f:54038 

Perry, J.C. see Lipscomb, Stephen L., 92j:54051 

Pestien, Victor see Maitra, Ashok; et al., 92i:54039 

Ramakrishnan, S. see Maitra, Ashok; et al., 92i:54039 

Saint-Raymond, Jean Classification de Wadge. [The Wadge classification] 92j:54052 

Shortt, R.M. Normal subgroups of measurable automorphisms. 92d:54051 


Items with secondary classifications in 54H05 
Balcerzak, Marek On the generalized Zink classification. (Polish summary) 92g:28002 





54H05 


— On C-sets and products of ideals. 92h:28001 

Cascales, B. (with Orihuela, J.) Countably determined locally convex spaces. 92¢:46004 

Cichoni, J. (with Morayne, Michal; Pawlikowski, Janusz; Solecki, S.) Decomposing Baire 
functions. 92j:04001 

Ferrando, Juan Carlos On convex-Suslin spaces. 92g:46005 

Fremlin, D. H. Families of compact sets and Tukey’s ordering. 92c:54032 

Garcia Nogales, Agustin Examples of .% -analyticity and other topological properties. 
(Spanish. English summary) (see 92b:00044) 

Goiodets, V. Ya. (with Voevoda, I. V.) Borel parametrization of Polish groups, and Lie 
groups. (Russian) 92d:22003 

Kaufman, Robert P. Continuous measures and analytic sets. 92e:43002 

— Sequence spaces and analytic sets. 92j:46025 

Kulesza, John A two-point set must be zero-dimensional. 92m:54064 

Morayne, Michat Complements of sets in abstract Borelian hierarchies. 92g:04004 

— see also Cichou, J.; et al., 92j:04001 

Nikiel, Jacek (with Tymchatyn, E. D.) Sets of end-points and ramification points in 
dendroids. 92k:54039 

Orihuela, J. see Cascales, B., 92e:46004 

Pawlikowski, Janusz see Cichon, J.; et al., 92j:04001 

Sarbadhikari, H. (with Srivastava, S.M.) Random theorems in topology. 92j:54024 

Solecki, S. see Cichoi, J.; et al., 92j:04001 

Srivastava, S. M. see Sarbadhikari, H., 92j:54024 

Tymchatyn, E. D. see Nikiel, Jacek, 92k:54039 

Vaananen, Jouko A Cantor-Bendixson theorem for the space w!'. 92h:03074 

Voevoda, I. V. see Golodets, V. Ya., 92d:22003 

Wilson, Terence E. A fugue on Bernstein sets. 92b:28003 

Zakharov, Valerii Konstantinovich Borel cover and Borel extension. 92i:54024 


54H10 Topological representations of algebraic systems 
[see also 22-XX] 


Abian, Alexander see Martin, Andrew D. 

Hadzi¢, Olga On coincidence points in convex metric spaces. (Serbo-Croatian summary) 
92¢:54047 

Martin, Andrew D. (with Abian, Alexander) Retrieving a topological space from its lattice 
of open sets. 


Items with secondary classifications in 54H10 

Ball, Richard N. (with Hager, Anthony W.) On the localic Yosida representation of an 
Archimedean lattice ordered group with weak order unit. 92k:06023 

Brick, Stephen G. Relative normal-convexity and amalgamations. 92g:20037 

Hager, Anthony W. see Ball, Richard N., 92k:06023 

Kennedy, Judy Some facts about homogeneity properties. 92b:54072 

Madden, James J. Frames associated with an abelian /-group. 92g:06028 

Marde3i¢, Sibe Approximate inverse systems and approximate resolutions. 92d:54015 

Shortt, R. M. A theory of integration for cardinal algebras. 92g:28013 

Sipacheva, O. V. Compacta with a continuous Mal'tsev operation and retracts of topological 
groups. (Russian) 92b:54024 

Tembrowski, Bronistaw Quasi-topological Boolean algebras of reflexive and quasi- 
topological spaces. 92a:06013 

Zakharov, Valerii Konstantinovich Connections between the Lebesgue extension and the 
Borel extension of the first class and between their corresponding preimages. (Russian) 
92i:28002 


54H11 Topological groups [see also 22A05] 


Comfort, W. W. Problems on topological groups and other homogeneous spaces. (see 
92c:54001) 

— (with Trigos-Arrieta, F. Javier) Remarks on a theorem of Glicksberg. 92k:54042 

— (with van Mill, Jan) Some topological groups with, and some without, proper dense 
subgroups. 92h:54050 

Dikranjan, Dikran N. (with Shakhmatov, D. B.) Pseudocompact topologizations of groups. 
(Serbo-Croatian summary) 92k:54043 

Grant, Douglass L. The Wallace problem and continuity of the inverse in pseudocompact 
groups. 92k:54044 

Itzkowitz, Gerald L. Uniformities and uniform continuity on topological groups. 92j:54053 

Katz, Elyahu (with Morris, Sidney A.; Nickolas, Peter) Free abelian topological groups and 
adjunction spaces. 92a:54032 

van Mill, Jan see Comfort, W. W., 92h:54050 

Mishkin, V. V. Imprimitivity domains and localizations of ideals of sets. (Russian) 
92k-54045 

Morris, Sidney A. see Katz, Elyahu; et al., 92a:54032 

Nickolas, Peter see Katz, Elyahu; et al., 92a:54032 

Protasov, I. V. Functionally balanced groups. (Russian) 92m:54068 

Shakhmatov, D. B. Zerodimensionality of free topological groups and topological groups 
with noncoinciding dimensions. (Russian summary) 924:54052 

— see also Dikranjan, Dikran N., 92k:54043 

Sipacheva, O. V. Description of the topology of free topological groups without using 
universal uniform structures. (Russian) 92¢:54042 

Trigos-Arrieta, F. Javier see Comfort, W. W., 92k:54042 

Uspenskii, V. V. Free topological groups of metrizable spaces. (Russian) 92¢:54043 

Items with secondary classifications in 54H11 

Arnautov, V.I. (with Zelenyuk, E.G.) On the problem of the completeness of maximal 
topological groups. (Russian. Ukrainian summary) 92e:22002 

Atkin, C. J. Boundedness in uniform spaces, topological groups, and homogeneous spaces. 
92j:22006 

Berglund, John F. (with Hindman, Neil) Sums of idempotents in BN. 92k:54027 


Comfort, W. W. (with Remus, Dieter) Long chains of Hausdorff topological group 
topologies. 92f:22001 


GENERAL TOPOLOGY 


Das, N. R. (with Das, Purabi) Mixed topological groups. 92h:22002 

Das, Purabi see Das, N. R., 92h:22002 

Davenport, Dennis E. (with Hindman, Neil) A proof of van Douwen’s right ideal theorem. 
92£:54025 

Dikranjan, Dikran N. (with Shakhmatov, D. B.) Critical power of minimality of topological 
groups close to being compact. 92i:22002 

Giahler, Werner Generalized convergence groups. 92k:54002 

Golodets, V. Ya. (with Voevoda, I. V.) Borel parametrization of Polish groups, and Lie 
groups. (Russian) 92d:22003 

Hindman, Neil The groups in BN. 92m:54048 

— see also Davenport, Dennis E., 92f:54025 and Berglund, John F., 92k:54027 

Mutter, Wolfgang Simplicity of near-rings of continuous functions. 92h:22011 

Pin, Jean-Eric Topologies for the free monoid. 92k:20107 

Piskunov, A. G. Reconstructability of the Vietoris topology from compact sets in the space 
of closed subgroups. (Russian. Ukrainian summary) 92e:22010 

Remus, Dieter see Comfort, W. W., 92f:22001 

Shakhmatov, D. B. see Dikranjan, Dikran N., 92i:22002 

Trigos-Arrieta, F. Javier Continuity, boundedness, connectedness and the Lindeléf property 
for topological groups. 92h:22009 

Voevoda, I. V. see Golodets, V. Ya., 924:22003 

Zelenyuk, E.G. see Arnautov, V. I., 92e:22002 


54H12 Topological lattices, etc. [see also 06B30, 06F30] 


Deng, Zi Ke De Morgan algebra of topology. I. (Chinese summary) 
Michaelis, Rebecca N. Connected regular sublattices of Euclidean space. 92b:54080 


Items with secondary classifications in 54H12 

Bai, Shi Zhong Semiregular semi-open and regular semi-open elements in topological 
molecular lattices. (Chinese. English summary) 

Bouziad, A. Continuité d’une action d’un semilattis compact. [Continuity of an action of a 
compact semilattice] 92m:06013 

He, Bo Yong Upper-class spaces of topological molecular lattices. (Chinese) 

Hrbatek, Karel Continuous completions. 92g:06009 

Huerta, Carlos C. A note on the cardinality of measures. (Italian summary) 92b:28001 

Liu, Xiao Shi Some cardinal inequalities for molecular lattices with higher degree of 
separation. (Chinese. English summary) 92j:06016 

Rietanova, Zdena On the MacNeille completion of (0)-continuous atomic logics. 92¢:06024 

— Applications of topological methods to the completion of atomic orthomodular lattices. 
92m:06020 

Zhang, De Xue The stratification structure of lattice-valued semicontinuous functions. 
(Chinese. English summary) 

Zheng, Ya Lin Remote neighborhood molecular lattices. (Chinese. English summary) 
92a:06010 

Zhitomirskii, G. I. Some classes of semilattices connected with topological spaces. (Russian) 
(see 92m:06001) 


54H13 Topological fields, rings, etc. [see also 12Jxx] {For 
algebraic aspects, see 13Jxx, 16W80.} 


Tsarelunga, B. I. Strengthening the topologies of compact rings. (Russian) 92j:54054 


Items with secondary classifications in 54H13 

Frit, Roman Rationals with exotic convergences. II. 92f:54003 

Hanke, Klaus Ulrich (with Wahling, Heinz) Konstruktion lokalkompakter Fastkérper. 
(English summary) [Construction of locally compact nearfields] 92b:12017 

Vechtomov, E.M. Questions on the determination of topological spaces by algebraic 
systems of continuous functions. (Russian) 92¢:54001 

Wahling, Heinz see Hanke, Klaus Ulrich, 92b:12017 


54H15 Transformation groups and semigroups [see also 20M20, 
22-XX, 57Sxx] 

Babaev, E. A. Semigroups of open self-maps. (Russian. English and Azerbaijani summaries) 
92¢:54048 

Baker, John Walter (with Pym, J. S.) The semigroup of continuous self-maps of J has 
infinitely many ideals. 92m:54069 

Gerko, A. I. Some generalizations of the Galois theory of distal minimal extensions of 
transformation semigroups. (Russian) 924:54053 

Plakhta, L. P. G-symmetric products of the sphere S? and of other closed surfaces. 
(Russian) 92a:54033 

Porter, Kathryn F. Semi-reasonable topologies for homeomorphism groups. 92h:54051 

Pym, J.S. see Baker, John Walter, 92m:54069 

Ramachandran, P.T. Groups of homeomorphisms and normal subgroups of the group of 
permutations. 92k:54046 

Tkachenko, M. G. Countably compact and pseudocompact topologies on free abelian 
groups. (Russian) 92e:54044 

— Factorization theorems for topological groups and their applications. 92e:54045 


Items with secondary classifications in 54H15 


Adu, D. I. On a characterization of CM-homomorphisms. 92g:20109 

Bolay, Ruhan Representation of types of ultrafilters with semi-groups. (Turkish summary) 
92:54028 

Budak, Talin Extremal topologies on a semigroup. 92f:22003 

Czaszar, A. (with Thiimmel, E.) Multiplicative semigroups of continuous mappings. 
92b:54031 

Furstenberg, Hillel (with Katznelson, Yitzhak) Idempotents in compact semigroups and 
Ramsey theory. 92d:05170 

Gaszak, A. The Whitehead theorem in equivariant shape theory. (Serbo-Croatian summary) 
92¢:54023 





1992 


Katznelson, Yitzhak see Furstenberg, Hillel, 92d:05170 

Lewis, L. Gaunce, Jr. The equivariant Hurewicz map. 92j:55024 

Magill, K. D., Jr. Homomorphisms of semigroups of continuous selfmaps. 92e:20051 

— Recent results and open problems on the countability index and the density index of 
S(X). 92b:20091 

— Some trends and directions in the investigation of congruences on S(X). 92c:20124 

Stannett, Mike The G-compactifications of a locally compact Hausdorff space. 92a:54026 

Thimmel, E. see Czészar, A., 92b:54031 

Troallic, Jean-Pierre Semigroupes affines semitopologiques compacts. [Compact semitopo- 
logical affine semigroups] 92e:22005 

Umoh, Hanson a-inflatable semigroups. 92k:22002 


54H20 Topological dynamics [see also 28Dxx, 34C35, 58Fxx] 

Aarts, Jan M. (with Oversteegen, Lex G.) Whitney’s regular families of curves revisited. 
(see 92a:00038) 

Amemiya, Takashi On the global asymptotic stability of nonlinear discrete time systems 
depending on several past steps. 92g:54052 

Athanassopoulos, Konstantin Cohomology and asymptotic stability of 1-dimensional 
continua. 92h:54052 

Aubin, Jean-Pierre (with Frankowska, Halina; Lasota, Andrzej) Poincaré’s recurrence 
theorem for set-valued dynamical systems. 92i:54040 

Bae, Jong Sook (with Lee, Seong Gil; Yang, Seung Kab) Periodic properties for mappings 
of continua. 92k:54047 

Balcar, Bohuslav (with KalaSek, Pavel) Nonexistence of multiple recurrent point in the 
ultrafilter dynamical system. (Russian summary) 92¢:54049 

— (with Dow, Alan) Dynamical systems on compact extremally disconnected spaces. 
92k:54048 

Baldwin, Stewart (with Slaminka, Edward E.) On measures preserved by Brouwer 
homeomorphisms. 92a:54034 

Barge, Marcy (with Kennedy, Judy) Continuum theory and topological dynamics. (see 
92¢:54001) 

— (with Gillette, Richard M.) Indecomposability and dynamics of invariant plane 
separating continua. 92k:54049 

— (with Gillette, Richard M.) Rotation and periodicity in plane separating continua. 
92m:54070 

Blaszczyk, Aleksander (with Plewik, Szymon; Turek, Slawomir) Topological multidimen- 
sional van der Waerden theorem. 92a:54035 

Borobia, Alberto (with Rodriguez, Ujué) A geometric proof of the Perron-Frobenius 
theorem. (Spanish. English summary) (see 92b:00044) 

Brechner, B. L. (with Guay, M. D.; Mayer, J.C.) Rotational dynamics on cofrontiers. (see 
92a:00038) 

Bulatek, Wojciech (with Kwiatkowski, Jan) The topological centralizers of Toeplitz flows 
and their Z2-extensions. 92k:54050 

Cheng, Dai Zhan see Dayawansa, W. P.; et al., 92c:54051 

Chi, Dong Pyo (with Choi, Sung Kyu; Koo, Ki-Shik; Park, Jong Suh) Topologically stable 
homeomorphisms. 92¢:54046 

Chirkova, I. A. Lyapunov-stable points of discontinuous dispersive dynamical systems. 
(Russian) 

Choi, Sung Kyu (with Chu, Chinku; Park, Jong Suh) Recurrence in dynamical systems. 
92g:54053 

— see also Chi, Dong Pyo; et al., 92e:54046 

Chu, Chinku see Choi, Sung Kyu; et al., 92g:54053 

Ciesielski, Krzysztof (with Obloza, Witold) Some remarks on stable sets. (Polish summary) 
(see 92c:00013) 

— The characterization of the cut of funnel in a planar semidynamical system. 92c:54050 

— Dynamical systems created from semidynamical systems. 92g:54054 

— Kneser type theorems and Baire properties for planar semidynamical systems. 92b:54081 

Dayawansa, W. P. (with Martin, Clyde Franklin; Cheng, Dai Zhan) A state space 
isomorphism theorem for minimal dynamical systems. 92c:54051 

Di Lena, G. (with Messano, Basilio) Generalized discrete dynamical systems: minimal sets, 
periodic points, global convergence. (French summary) (see 92b:00040) 

Dow, Alan see Balcar, Bohuslav, 92k:54048 

Egawa, Jiré Eigenvalues of some almost periodic functions. 92i:54041 

Feng, Zhao Shu see Zhu, Si Ming; et al., 92k:54054 

Fokkink, Robbert J. There are uncountably many homeomorphism types of orbits in flows. 
92b:54082 

— (with Oversteegen, Lex G.) A recurrent nonrotational homeomorphism on the annulus. 
92m:54071 

Frankowska, Halina see Aubin, Jean-Pierre; et al., 92i:54040 

Garay, Barnabas M. Strong cellularity and global asymptotic stability. 92h:54053 

Gillette, Richard M. see Barge, Marcy, 92k:54049 and 92m:54070 

Glasner, Eli Regular PI metric flows are equicontinuous. 92¢:54052 

Guay, M. D. see Brechner, B. L.; et al., (92a:00038) 

Gupta, S. B. (with Purbey, B.) Study of invariant sets and prolongation in uniform space 
and their applications to stability concepts. 

— (with Purbey, B.) Almost periodic and Poisson stable dynamical systems. 

Hiraide, Koichi Positively expansive open maps of Peano spaces. 92d:54054 

— Positively expansive open maps of Peano spaces. 92¢:54047 

Hong, Jia Lin (with Wang, Rong Hua) Existence of periodic motions in limit sets. 
(Chinese. English summary) 

KalaSek, Pavel see Balcar, Bohuslav, 92c:54049 

Kato, Hisao (with Kawamura, Kazuhiro) The nonexistence of expansive homeomorphisms 
on certain spaces. 92d:54055 

— On expansiveness of shift homeomorphisms of inverse limits of graphs. 92h:54054 

Kaul, Saroop K. On impulsive semidynamical systems. II. Recursive properties. 92b:54083 

Kawamura, Kazuhiro see Kato, Hisao, 92d:54055 

Kennedy, Judy see Barge, Marcy, (92c:54001) 

Kim, Ki Hang (with Roush, F. W.) Full shifts over R* and invariant tetrahedra. 92m:54072 

— (with Roush, F. W.) Williams’s conjecture is false for reducible subshifts. 92j:54055 


54H Connections with other structures, applications 


Kim, Yeon Hyeong Nearly periodic flows. 92i:54042 

Kim, Young-Key 0-graphic flow. 92h:54055 

King, Jonathan L. A map with topological minimal self-joinings in the sense of del Junco. 
92a:54036 

Kiapyta, Janina A classification of dynamical systems. 92i:54043 

Kleszcz, Jan Extensions to maps on the Cantor set with dense orbits. 92c:54053 

— Orbits of homeomorphisms and independent sets. 924:54056 

Koo, Ki-Shik see Chi, Dong Pyo; et al., 92e:54046 

Kwiatkowski, Jan see Bulatek, Wojciech, 92k:54050 

Lasota, Andrzej see Aubin, Jean-Pierre; et al., 92i:54040 

Lee, Seong Gil see Bae, Jong Sook; et al., 92k:54047 

Levakov, A. A. Stability of I-systems. (Russian) 92k:54051 

Lintz, R. G. Nondeterministic dynamical systems. I. 92h:54056 

Martin, Clyde Franklin see Dayawansa, W. P.; et al., 92c:54051 

Mauldin, R. Daniel Problems in topology arising from analysis. (see 92c:54001) 

Mayer, J.C. see Brechner, B. L.; et al., (92a:00038) 

Messano, Basilio see Di Lena, G., (92b:00040) 

Milnes, Paul Extension of flows, Ellis groups and groups of Heisenberg type. 92i:54044 

Mrozek, Marian The Conley index on compact ANRs is of finite type. 92b:54084 

— The Morse equation in Conley’s index theory for homeomorphisms. 92e:54048 

Noienfel‘dt, I. Combinatorial type of a semi-higher periodic orbit. (Russian) 92j:54056 

Obloza, Witold see Ciesielski, Krzysztof, (92c:00013) 

Oka, Masatoshi Expansiveness of real flows. 92a:54037 

Oversteegen, Lex G. see Fokkink, Robbert J., 92m:54071 and Aarts, Jan M., (92a:00038) 

Pandian, R. D. Semigroup compactifications by generalized distal functions and a fixed 
point theorem. 92j:54057 

Park, Jong Suh see Chi, Dong Pyo; et al., 92e:54046 and Choi, Sung Kyu; et al., 92g:54053 

Pelczar, Andrzej Some results on dynamical systems and their generalization. 92¢:54054 

— Remarks on some generalizations of asymptotic periodicity in dynamical systems on 
metric spaces. 92¢:54055 

— Remarks on limit sets in generalized semisystems. 92j:54058 

Pennings, Timothy (with Van Eeuwen, Jeffrey) Pseudo-orbit shadowing on the unit interval. 
92¢:54056 

Piérek, Jézef On weakly mixing and generic chaos. 92m:54073 

Plewik, Szymon see Blaszczyk, Aleksander; et al., 92a:54035 

Purbey, B. see Gupta, S. B. 

Rodriguez, Ujué see Borobia, Alberto, (92b:00044) 

Roush, F. W. see Kim, Ki Hang, 92j:54055 and 92m:54072 

Ruppert, W. A. F. Endomorphic actions of #N on the torus group. 92g:54055 

Sharma, Som Datt A motion in H?(z*+). 92:54039 

Simon, Kéroly The iterates are not dense in C. 92m:54074 

Slaminka, Edward E. see Baldwin, Stewart, 92a:54034 

van Strien, Sebastian One-dimensional versus two-dimensional dynamics. (see 92¢:54001) 

Suleiman, Fakikh Dirar The structure of the Levinson center of dispersible dissipative 
dynamical systems. (Russian. English and Moldavian summaries) 92h:54057 

Trzepizur, Andrzej Stabilité négative et fonctions de Liapounov dans les systémes semi- 
dynamiques. I, II. [Negative stability and Lyapunov functions in semidynamical systems. 
I, Il] 92k:54052 

— Remarques sur la stabilité des ensembles dans les systémes semi-dynamiques. [Remarks 
on the stability of sets in semidynamical systems] 92k:54053 

Turek, Slawomir see Blaszczyk, Aleksander; et al., 92a:54035 

Urmanchey, V. I. Dynamical systems with impulse action on a sphere. (Russian) 924:54057 

Van Eeuwen, Jeffrey see Pennings, Timothy, 92c:54056 

de Vries, Jan The Furstenberg structure theorem in topological dynamics. 92g:54056 

Wang, Rong Hua see Hong, Jia Lin; et al. 

Yang, Seung Kab see Bae, Jong Sook; et al., 92k:54047 

Zhu, Si Ming (with Feng, Zhao Shu) Bifurcation for invariant sets of dynamical systems in 
metric spaces. (Chinese) 92k:54054 


Items with secondary classifications in 54H20 

Aarts, Jan M. (with Oversteegen, Lex G.) On one-to-one continuous images of R. 
92k:54040 

Agnes, Corrado (with Rasetti, Mario G.) Undecidability of the word problem and chaos in 
symbolic dynamics. 92h:58056 

Aranson, S. Kh. (with Zhuzhoma, E. V.) Classification of attractors of codimension one 
without mixing. (Russian) 92c:58067 

Arteaga, Carlos Centralizers of expanding maps on the circle. 92c:58010 

Ashley, Jonathan Resolving factor maps for shifts of finite type with equal entropy. 
92d:58056 

— (with Coven, Ethan M.; Geller, William) Entropy of semipatterns or how to connect the 
dots to minimize entropy. 92c:58026 

— (with Kitchens, Bruce; Stafford, Matthew) Boundaries of Markov partitions. 92k:58198 

Athanassopoulos, Konstantin A characterization of Denjoy flows. 92k:58163 

Baldwin, Stewart Some limitations toward extending Sarkovskii’s theorem to connected 
linearly ordered spaces. 92¢:58064 

— On the existence of invariant measures that behave like area. 92h:58112 

Barge, Marcy (with Brown, Morton) Problems in dynamics on continua. 92i:54032 

Bedford, Eric (with Smillie, John) Polynomial diffeomorphisms of C?. II. Stable manifolds 
and recurrence. 92m:32048 

Bellamy, David P. (with Lewis, Wayne) An orientation reversing homeomorphism of the 
plane with invariant pseudo-arc. 92g:54047 

Béllissard, Jean Spectral properties of Schrédinger’s operator with a Thue-Morse potential. 
92b:82007 

Blanchard, F. Extensions a fibre constante. (English summary) [Extensions with constant 
fiber] 92f:58052 

Blanchard, Paul R. (with Devaney, Robert L.; Keen, Linda) The dynamics of complex 
polynomials and automorphisms of the shift. 92:58150 

Block, Louis (with Coven, Ethan M.) Approximating entropy of maps of the interval. 
92c:58106 





54H20 


Blokh, A. M. (with Coven, Ethan M.; Misiurewicz, Michal; Nitecki, Zbigniew) Roots of 
continuous piecewise monotone maps of an interval. 92i:58086 

Bogatyi, S. A. Periodic points of mappings on an interval. (Russian) 92a:58109 

Botelho, F. Rotational entropy for annulus endomorphisms. 92i:58099 

Boyarsky, Abraham see Géra, Pawel, 92a:58083 

Boyle, Mike Eventual extensions of finite codes. 92c:28015 

— (with Handelman, David) The spectra of nonnegative matrices via symbolic dynamics. 
92d:58057 

— (with Fiebig, Ulf-Rainer) The action of inert finite-order automorphisms on finite 
subsystems of the shift. 92g:58029 

Brown, Morton see Barge, Marcy, 92i:54032 

Brucks, K. M. (with Diamond, Beverly; Otero-Espinar, M. V.; Tresser, Charles) Dense 
orbits of critical points for the tent map. 92e:58107 

Chen, Liang' (with Li, Shi Hai) Shadowing property for inverse limit spaces. 92i:58094 

Choi, Sung Kyu (with Park, Jong Suh) Hyperbolic flows are topologically stable. 92a:58078 

— (with Chu, Chinku; Lee, Keon Hee) Recurrence in persistent dynamical systems. 
92:58092 

Chu, Chinku see Choi, Sung Kyu; et al., 92£:58092 

Coven, Ethan M. see Ashley, Jonathan; et al., 92c:58026; Block, Louis, 92c:58106 and Blokh, 
A. M.,; et al., 92i:58086 

Devaney, Robert L. see Blanchard, Paul R.; et al., 92f:58150 

Diamond, Beverly see Brucks, K. M.; et al., 92e:58107 

Fedorenko, V. V. (with Smital, J.) Maps of the interval Ljapunov stable on the set of 
nonwandering points. 92g:58063 

Fiebig, Ulf-Rainer see Boyle, Mike, 92g:58029 

Fila, Marek (with Marko, Frantisek) A remark on a flow with a homoclinic trajectory. 
(Russian and Slovak summaries) 92b:58167 

Flandoli, Franco see Schaumléffel, Kay-Uwe, 92m:60050 

Franklin, Stan see Garzon, Max, 92g:68104 

Garzon, Max (with Franklin, Stan) Global dynamics in neural networks. II. 92g:68104 

Gedeon, Tomas A counterexample to a Fedorenko statement. 92g:58064 

Geller, William (with Tolosa, Juan) Maximal entropy odd orbit types. 92e:58163 

— see also Ashley, Jonathan; et al., 92c:58026 

Gerko, A. I. Some generalizations of the Galois theory of distal minimal extensions of 
transformation semigroups. (Russian) 924:54053 

Glasner, Eli A topological version of a theorem of Veech and almost simple flows. 
92e:28012 

Géra, Pawel (with Boyarsky, Abraham) Computing the topological entropy of general one- 
dimensional maps. 92a:58083 

Gyorgyi, Géza A new scenario in dissipative systems: sequential extinction of strange 
attractors. 92c:58079 

Handelman, David see Boyle, Mike, 92d:58057 

He, Lian Fa (with Shan, Guo Zuo) The nonexistence of expansive flow on a compact 2- 
manifold. (Chinese summary) 92c:58120 

Hindman, Neil Strongly summable ultrafilters on N and small maximal subgroups of BN. 
92a:54025 

Hurley, Mike Ergodic aspects of cellular automata. 92d:58121 

— Attractors in restricted cellular automata. 92i:58090 

Iwanik, Anzelm Independent sets of transitive points. 92d:58105 

Jarczyk, Witold Almost iterable functions. 92i:26007 

Kalitin, B.S. Development of Lyapunov’s theorem on stability. (Russian) 92j:34103 

Karimpour, Rahim G. Topological entropy of a homeomorphism on a tree. 92h:54027 

Kato, Hisao (with Kawamura, Kazuhiro) A class of continua which admit no expansive 
homeomorphisms. 92e:54038 

— Expansive homeomorphisms and indecomposability. 92m:54065 

Kato, Kazuhisa Hyperbolicity and pseudo-orbits for flows. 92b:58168 

Kawamura, Kazuhiro see Kato, Hisao, 92e:54038 

Kawamura, Shinzé (with Tomiyama, Jun) Properties of topological dynamical systems and 
corresponding C*-algebras. 92e:46131 

Keen, Linda see Blanchard, Paul R.; et al., 92f:58150 

Kennedy, Judy A technique for constructing examples. (see 92a:00038) 

Kevrekidis, Ioannis G. see Peckham, Bruce B., 92k:58194 

Kim, Ki Hang (with Roush, F.W.) An algorithm for sofic shift equivalence. 92g:28037 

— (with Roush, F. W.) On the automorphism groups of subshifts. 92j:28009 

Kitchens, Bruce (with Marcus, Brian H.; Trow, Paul) Eventual factor maps and composi- 
tions of closing maps. 92b:58062 

— see also Ashley, Jonathan; et al., 92k:58198 

Kolyada, S. F. (with Snoha, Lubomir) On w-limit sets of triangular maps. (Russian 
summary) 92k:58142 

Kozyakin, V.S. Analysis of the stability of desynchronized systems by methods of symbolic 
dynamics. (Russian) 92c¢:93056 

Krieger, Wolfgang (with Marcus, Brian H.; Tuncel, Selim) On automorphisms of Markov 
chains. 92m:58109 

Kuchta, Milan Characterization of chaos for continuous maps of the circle. 92f:58112 

Lee, Keon Hee see Choi, Sung Kyu; et al., 92f:58092 

Lehrer, Ehud (with Pant, Himanshu) On strictly ergodic models which are not almost 
topologically conjugate. 92h:28015 

Lewis, Wayne Continuum theory and dynamics problems. 92¢:54033 

— see also Bellamy, David P., 92g:54047 

Li, Shi Hai see Chen, Liang’, 92i:58094 

Livshits, A. N. On the construction of Markov compact sets. (Russian) 92h:28016 

Marcus, Brian H. see Kitchens, Bruce; et al., 92b:58062 and Krieger, Wolfgang; et al., 
92m:58109 

Marko, Frantisek see Fila, Marek, 92b:58167 

Martinez, Servet A. A Lyapunov functional approach to the evolution of linear symmetric 
automata networks. 92f:68125 

Mielke, Alexander Topological methods for discrete dynamical systems. 92h:58104 

Millionshchikov, V.M. Behavior of conditional stability with parameter change. (Russian) 
924:34097 

Misiurewicz, Michal see Blokh, A. M.; et al., 92i:58086 


GENERAL TOPOLOGY 1992 


Nadkarni, M. G. On the existence of a finite invariant measure. 92d:28008 

Nerurkar, Mahesh G. Observability and topological dynamics. 92e:93010 

Nieuwenhuis, Johannes W. see Willems, Jan C., 92d:93054 

Nitecki, Zbigniew see Blokh, A. M.; et al., 92i:58086 

Otero-Espinar, M. V. see Brucks, K. M.; et al., 92e:58107 

Oversteegen, Lex G. see Aarts, Jan M., 92k:54040 

Pant, Himanshu see Lehrer, Ehud, 92h:28015 

Park, Jong Suh see Choi, Sung Kyu, 92a:58078 

Parry, William Notes on coding problems for finite state processes. 92c:28016 

Peckham, Bruce B. (with Kevrekidis, Ioannis G.) Period doubling with higher-order 
degeneracies. 92k:58194 

Pesin, Ya. B. Generalized spectrum for the dimension: the approach based on 
Carathéodory’s construction. 92i:58104 

Petersen, Karl * Ergodic theory. 92c:28010 

Petrov, Nikolai Nikolaevich Separability properties of topologies generated by dynamical 
polysystems. (Russian. English summary) 92k:58232 

Pikovskii, A.S. (with Shekhov, V.G.) Universal behaviour of two coupled circle maps. 
92a:58101 

Pilyugin, S. Yu. The space of dynamical systems with C°-topology. (Russian) 92b:58123 

Piérek, Jézef On generic chaos of shifts in function spaces. 92a:58102 

Rasetti, Mario G. see Agnes, Corrado, 92h:58056 

Roush, F. W. see Kim, Ki Hang, 92g:28037 and 92j:28009 

Salehi, Ebrahim Compactification of a semigroup—a topological dynamics approach. 
92g:22006 

Schaumléffel, Kay-Uwe (with Flandoli, Franco) A multiplicative ergodic theorem with 
applications to a first order stochastic hyperbolic equation in a bounded domain. 
92m:60050 

Schori, Richard M. Chaos: an introduction to some topological aspects. 92f:58113 

Schweizer, Berthold (with Sklar, A.) The baker’s transformation is not embeddable. 
92¢:58058 

Shan, Guo Zuo see He, Lian Fa; et al., 92c:58120 

Shekhov, V. G. see Pikovskii, A. S., 92a:58101 

Sklar, A. see Schweizer, Berthold, 92c:58058 

Smillie, John see Bedford, Eric, 92m:32048 

Smital, J. see Fedorenko, V. V., 92g:58063 

Snoha, Lubomir Generic chaos. 92b:58149 

— see also Kolyada, S. F., 92k:58142 

Solodov, V. V. Topological problems in the theory of dynamical systems. (Russian) 
92k:58203 

Stafford, Matthew see Ashley, Jonathan; et al., 92k:58198 

Thomas, Romeo F. Canonical coordinates and the pseudo-orbit tracing property. 92e:58156 

Tolosa, Juan see Geller, William, 92e:58163 

Tomiyama, Jun see Kawamura, Shinz6, 92e:46131 

Tresser, Charles see Brucks, K. M.; et al., 92e:58107 

Trow, Paul see Kitchens, Bruce; et al., 92b:58062 

Tuncel, Selim see Krieger, Wolfgang; et al., 92m:58109 

Uezu, Tatsuya Topological structure in flow systems. 92f:58124 

Willems, Jan C. (with Ni huis, Joh W.) Continuity of latent variable models. 
924:93054 

— Paradigms and puzzles in the theory of dynamical systems. 92h:93006 

Williams, R. F. How big is the intersection of two thick Cantor sets? 92f:58116 

Williams, Susan Lattice invariants for sofic shifts. 92k:58076 

Zhuzhoma, E. V. see Aranson, S. Kh., 92c:58067 





54H25 Fixed-point and coincidence theorems [see also 47H10, 
55M20] 


Abbaoui, Salim Théorémes de points fixes communs pour trois applications. (English 
summary) [Common fixed-point theorems for three mappings] 92j:54059 

— Common fixed points by Ishikawa iterates in metric linear spaces. 

Agrawal, A. K. A fixed point theorem. 

— A fixed point theorem. 

— see also Qureshi, K. 

Ahmad, Bashir (with Rehman, Fazal) Fixed points of continuous expansive multivalued 
mappings. 

— see also Rehman, Fazal 

Ali, Faryad see Beg, Ismat; et al. 

Angelov, Vasil G. j-nonexpansive mappings in uniform spaces and applications. 92g:54057 

— Acoincidence theorem in uniform spaces and applications. 92h:54058 

Antonino, José A. (with Checa, Emilio; Romaguera, Salvador) Semicontinuity conditions 
applied to fixed-point theorems. (Spanish. English summary) (see 92g:00024) 

Azam, Akbar see Beg, Ismat; et al. 

Azzimondi, P. see Scaravelli, Corrado 

Badshah, V. H. (with Singh, Bijendra) Some common fixed point theorems in complete 
metric spaces. 

Bandyopadhyay, D. see Ganguly, D. K. 

Baranga, Andrei The contraction principle as a particular case of Kleene’s fixed point 
theorem. 92j:54060 

Basu, D. K. (with Ghosh, K. M.) A theorem on fixed point in pseudo compact Tichonov 
space. 

— An extension of a fixed point theorem. 

— (with Ghosh, K. M.) Fixed point theorem for set valued mappings. 

Beckert, Herbert Ein Fixpunktsatz fiir mehrdeutige nichtazyklische Abbildungen auf 
der Sphare. (English and Russian summaries) [A fixed point theorem for multivalued 
nonacyclic mappings on the sphere] 92h:54059 

Beg, Ismat (with Azam, Akbar; Ali, Faryad; Minhas, Tahira) Some fixed point theorems in 
convex metric spaces. 

Ben-El-Mechaiekh, Hichem (with Deguire, Paul) Approximation of nonconvex set-valued 
maps. (French summary) 92d:54058 





929 1992 


— (with Deguire, Paul) General fixed point theorems for nonconvex set-valued maps. 
(French summary) 924:54059 

Bhola, Praveen K. (with Sharma, P. L.) A fixed point theorem. 

— (with Sharma, P. L.) Multi valued mappings for complete matrix spaces. 

Campian, V. Fixed points for mappings defined in n-metric spaces. (Romanian. French 
summary) 

Carvalho e Silva, Jaime M. M. see Collaco, M. Paula S. Oliveira, (92m:00049) 

Chamola, K. P. (with Dimri, R. C.; Pant, B. D.) On nonlinear contractions on Menger 
spaces. 

— (with Pant, B. D.; Singh, Shyam Lal) Common fixed point theorems for probabilistic 
densifying mappings. 92m:54075 

Chang, Hsiu Yi Separation and von Neumann intersection theorems. 92¢:54049 

Checa, Emilio (with Romaguera, Salvador) Fixed-point theorems for functions in a metric 
space. (Spanish. English summary) (see 92g:00024) 

— (with Romaguera, Salvador) A revision of Caristi’s fixed-point th for 
ric distance functions. (Spanish. English summary) (see 92b:00044) 

— see also Romaguera, Salvador, 92f:54043 and Antonino, José A.; et al., (92g:00024) 

Chen, Wen Hu Obtaining fixed point theorems for mappings by applying series. (Chinese. 
English summary) 

— Fixed-point theorems for nonexpansive mappings and pairs of nonexpansive mappings. 
(Chinese. English summary) 

Chen, Zhao Jiang Common fixed point theorems for commuting maps on SST-probabilistic 
metric spaces. (Chinese. English summary) 

Chourasia, Geeta An extension of Banach contraction principle through rational expression. 

— Some results on fixed points in pseudocompact Tichonov space. 

— Common fixed point theorem for three maps. 

Cirié, Ljubomir B. Common fixed points of noncommuting mappings. 

— On a common fixed point theorem of a Gregu’ type. 92k:54055 

— Note: “Remarks on some theorems of Mishra, Dhage and Pathak” [Pure Appl. Math. Sci. 
32 (1990), no. 1-2, 27-29]. 

Collago, M. Paula S. Oliveira (with Carvalho e Silva, Jaime M. M.) Comparison of 
contraction conditions. (Portuguese. English summary) (see 92m:00049) 

Conserva, Vincenzo Fixed points and partial orders. (French summary) (see 92b:00040) 

Constantin, Adrian Coincidence point theorems for multivalued contraction mappings. 

Dawar, Ravi see Sharma, Susheel 

Deguire, Paul see Ben-El-Mechaiekh, Hichem, 92d:54058 and 92d:54059 

Deng, Lei (with Ding, Xie Ping) Fixed points of nonexpansive mappings on star-shaped 
subsets of a convex metric space. (Chinese. English summary) 

Dhage, B. C. Some fixed point theorems in R” via calculus method. 

Dimri, R. C. (with Pand, B.D.) Fixed point theorems in non-Archimedean Menger spaces. 

— see also Chamola, K. P.; et al. 

Ding, Xie Ping Intersection theorems concerning noncompact sets with H-convex sections 
and their applications. (Chinese. English summary) 92:54040 

— Coincidence theorems in H-spaces and their applications. (Chinese. English summary) 

— Fixed point theorems of nonexpansive condensive maps in convex metric spaces. (Chinese 
summary) 

— see also Deng, Lei; et al. 

Dé Hong Tan On the probabilistic Hausdorff distance and fixed point theorems for 
multivalued contractions. 92a:54038 

Dong, Bing Hua A new fixed-point theorem for contractive mappings. (Chinese. English 
summary) 

Du, Cheng Lin see Piao, Yong Jun; et al. 

Dubey, P. K. (with Srivastava, K.C.) A fixed point theorem. 

— see also Srivastava, K. C. 

Dubey, R. P. (with Pathak, H. K.) Common fixed point for three mappings under 
asymptotic regularity. 

— see also Pathak, H. K. 

Fang, Jin Xuan Fixed point theorems of local contraction mappings on Menger spaces. 
(Chinese. English summary) 92b:54085 

Fisher, Brian Common fixed points of commuting set-valued mappings. (Serbo-Croatian 
summary) 

Gairola, Umesh C. see Singh, Shyam Lal, 92d:54063; 924:54064and 92h:54062 

Gaji¢, Ljiljana Fixed point theorems in Takahashi convex metric spaces. (Serbo-Croatian 
summary) 92e:54050 

Ganguly, Ashok (with Rajput, A. S.; Tuteja, B.S.) Fixed points of probabilistic densifying 
mappings. 

Ganguly, D. K. (with Bandyopadhyay, D.) Some results on common fixed point theorems in 
metric space. 

Ghosh, K. M. see Basu, D. K. 

Guo, Wei Ping (with Wu, Bin) Fixed-point theorems for a class of nonlinear mappings. 
(Chinese. English summary) 

Gupta, Dilip see Namdeo, R. K. 

Hadzié, Olga Common fixed point theorems in probabilistic metric spaces with a convex 
structure. (Serbo-Croatian summary) 92b:54086 

— Common fixed point theorems for single-valued and multivalued mappings. (Serbo- 
Croatian summary) 92d:54060 

— Acommon fixed point theorem for a family of mappings in convex metric spaces. (Serbo- 
Croatian summary) 

— Acommon fixed point theorem for two sequences of mappings in convex metric spaces. 
(Serbo-Croatian summary) 

Huang, Yung Ya A note on Yen’s fixed point theorem. 92a:54039 

Husain, Taqdir (with Latif, Abdul) Fixed points of multivalued nonexpansive maps. 
92k:54056 

— (with Latif, Abdul) f-nonexpansive type maps and fixed points. 

Imdad, M. (with Khan, Mohd. Saeed; Khan, M. D.) A common fixed point theorem in 2- 
metric spaces. 

Jain, Rajendra Kumar! Some common fixed point theorems for nearly densifying maps. 
92g:54058 

— see also Jain, Rajendra Kumar! , 92g:54058 

Jungck, Gerald Common fixed points for compatible maps on the unit interval. 92m:54076 





y i 


54H Connections with other structures, applications 


54H25 


Kaprane, I. (with Liepa, E.; Liepip’, A.) Good morning, Mr. Fixed Point! (Russian and 
Latvian summaries) (see 92d:00013) 

Khan, Liagat Ali Some fixed point th for invol 
metrizable linear topological spaces. 

Khan, M. D. see Imdad, M.; et al. 

Khan, Mohd. Saeed see Imdad, M.; et al. 

Khan, S. Fixed point theorem for densifying mapping. 

Kuczumow, Tadeusz (with Stachura, Adam) A product retraction property. 

Kumar Shukla, Samir see Prakash, Ved 

Kuo, Ch’eng Lung Fixed point theorems for singlevalued mappings and multivalued 
mappings on complete metric spaces. 92d:54061 

— Fixed point theorems for singlevalued mappings and multivalued mappings on complete 
metric spaces. II. 92g:54059 

Latif, Abdul see Husain, Taqdir, 92k:54056 

Lawson, Jimmie D. (with Mislove, Michael W.) Problems in domain theory and topology. 
(see 92¢:54001) 

Liepa, E. see Kaprane, L.; et al., (92d:00013) 

Liepins, A. see Kaprane, L.; et al., (92d:00013) 

Liu, Li Shan Common fixed points of a pair of single-valued mappings and a pair of set- 
valued mappings. (Chinese. English summary) 

Maity, A. R. see Pathak, H. K. 

Marsh, M. M. e-mappings onto a tree and the fixed point property. 92h:54060 

Mehndiratta, R. see Singh, Shyam Lal; et al. 

Men, Qing see Zhu, Song Tao; et al. 

Minhas, Tahira see Beg, Ismat; et al. 

Mishra, Swami Nath (with Singh, Shyam Lal) On some fixed point theorems of Argyros. 

Mislove, Michael W. see Lawson, Jimmie D., (92c:54001) 

Marthy, P. P. (with Sharma, B. K.) Some unique common fixed point theorems. 

Naidu, S. V. R. Coincidence point theorems for set-valued maps on a topological space. 

Namdeo, R. K. (with Gupta, Dilip) A fixed point theorem of asymptotically regular 
mappings. 

Pal, Mukul (with Pal, Mukunda Chandra) On fixed point theorems in a metric space. 

Pal, Mukunda Chandra see Pal, Mukul 

Pand, B. D. see Dimri, R. C. 

Pande, Rajesh Kumar Multi-valued contraction mappings in complete metric space. 

— Fixed point mappings on compact metric spaces. 

— (with Shrivastava, Rakesh) On fixed point under contractive type densifying mapping. 

Pant, B. D. see Chamola, K. P.; et al., 92m:54075 

Papageorgiou, Nikolaos S. Fixed point theorems for multifunctions with stochastic domain. 

Parsi, Vibhoj (with Singh, Bijendra) Fixed points of a pair of mappings in 2-metric spaces. 
92d:54062 

Pasicki, Lech A fixed point theory and some other applications of weeds. (Polish summary) 
92h:54061 

Pathak, H. K. (with Dubey, R. P.) Some fixed point theorems in L-spaces. 

— On a weak** commutativity condition of mappings in fixed point consideration. 

— (with Dubey, R. P.) Some fixed point theorems in 2-metric space. 

— (with Dubey, R. P.) Fixed point theorems of expansion mappings in L-space. 

— (with Dubey, R. P.) A common fixed point theorem for three commuting mappings in 
uniform spaces. 

— (with Maity, A.R.) Common fixed point of three commuting mappings in L-space. 

— (with Dubey, R. P.) Comment on the fixed point theorem of Maia. 

— see also Dubey, R. P. 

Pepo, Burbuge Fixed points for contractive mappings of third order in pseudo-quasimetric 
spaces. 92f:54041 

Piao, Yong Jun (with Du, Cheng Lin) A fixed-point theorem for a class of nonlinear 
expansive mappings on quasimetric spaces. (Chinese. English summary) 

Popa, Valeriu Fixed points on two complete metric spaces. (Serbo-Croatian summary) 

Prakash, Ved (with Kumar Shukla, Samir) A fixed point theorem for pair of mappings in 
2-metric space. 

Prie8-Crampe, Sibylla Der Banachsche Fixpunktsatz fiir ultrametrische Raume. [The 
Banach fixed point theorem for ultrametric spaces] 

Pune, V. K. A note on fixed point expansive mappings. 

Qureshi, K. (with Simoniya, N.S.) Common fixed point theorem for two mappings. 

— (with Sharma, B.S.) Fixed point theorem on pseudocompact Tichonov space. 

— (with Agrawal, A. K.) Fixed point theorem in pseudo-compact Tichonov space. 

Rajput, A.S. see Ganguly, Ashok; et al. 

Rao, K. P.R. Some coincidence and common fixed points for self-maps. 

Rawat, Pratima (with Sharma, P. L.) Fixed point theorems with Mann iterates. 

Rehman, Fazal (with Ahmad, Bashir) Common fixed point theorems in compact metric 
space. 

— see also Ahmad, Bashir 

Reich, Simeon Fixed point theory in hyperbolic spaces. (French summary) 92f:54042 

Rhoades, B. E. A fixed point theorem for a pair of expansive maps. 

Richman, Fred A counterexample to a theorem of Argyros. (Serbo-Croatian summary) 
92a:54040 

Romaguera, Salvador (with Checa, Emilio) Decreasing functions and a fixed point theorem 
in complete metric spaces. (Serbo-Croatian summary) 92f:54043 

— see also Checa, Emilio, (92b:00044); Antonino, José A.; et al., (92g:00024) and Checa, 
Emilio, (92g:00024) 

Sah, Ram Shankar Fixed point theorem for continuous mappings on complete metric 
spaces. 

Sahu, N. K. see Sharma, B. K. 

Sangar, Vandana M. (with Waghmode, B. B.) On unique fixed point theorems in 2-metric 
space. 

Sarkar, Asit Kumar Approximation of fixed points. 

Scaravelli, Corrado (with Azzimondi, P.) On common contractivity of nonlinear type. 
(Italian summary) 

Sharma, B. K. (with Sahu, N. K.) Common fixed points of three continuous mappings. 

— (with Sahu, N. K.) Asymptotic regularity and fixed points. 

— (with Sahu, N. K.) A common fixed point theorem under asymptotic regularity at a point. 





y Mappings in complete 





54H25 


— see also Murthy, P. P. 

Sharma, B.S. (with Srivastava, S. K.) Fixed point theorem for densifying mappings in 
complete metric space. 92b:54087 

— see also Qureshi, K. 

Sharma, Neelima (with Sharma, P. L.) Fixed point theorem in 2-metric spaces. (Hindi. 
English summary) 

Sharma, P. L. see Bhola, Praveen K.; Rawat, Pratima; Sharma, Neelima and Bhola, Praveen 


K. 

Sharma, Susheel (with Dawar, Ravi) Fixed point mappings on compact metric spaces. 
(Hindi. English summary) 

Shrivastava, Rakesh see Pande, Rajesh Kumar 

Simoniya, N.S. Fixed point theorem in complete metric space. 

— see also Qureshi, K. 

Singh, Bijendra see Parsi, Vibhoj, 92d:54062 and Badshah, V. H. 

Singh, K. K. see Singh, Uday Narayan 

Singh, R. R. see Singh, Uday Narayan, 92m:54077 

Singh, Shyam Lal (with Gairola, Umesh C.) A coincidence theorem for three systems of 
transformations. 92d:54063 

— (with Gairola, Umesh C.) A general coincidence theorem. 924:54064 

— (with Gairola, Umesh C.; Mehndiratta, R.) A coincidence theorem for three systems of 
transformations. 

— (with Gairola, Umesh C.) A general fixed point theorem. 92h:54062 

— see also Chamola, K. P.; et al., 92m:54075 and Mishra, Swami Nath 

Singh, Uday Narayan (with Singh, R. R.) Asymptotic regularity and fixed points. 
92m:54077 

— (with Singh, K. K.) Generalization of Haimabati result. 

Som, Tanmoy Some fixed point results for single-valued mappings on a metric space. 

Song, Fu Min Common fixed-point theorems for set-valued semicontinuous mappings. 
(Chinese. English summary) 

Srivastava, K.C. (with Dubey, P. K.) A note on fixed point theorem for densifying 
mapping. 

— see also Dubey, P. K. 

Srivastava, S. K. see Sharma, B. S., 92b:54087 

Stachura, Adam see Kuczumow, Tadeusz 

Stojakovi¢, Mila Some new types of contractions in Menger spaces. 92¢:54051 

Sun, Jing Xian A generalization of Caristi’s fixed-point theorem. (Chinese. English 
summary) 

Takahashi, Wataru Existence theorems generalizing fixed point theorems for multivalued 
mappings. (French summary) 92m:54078 

Taniguchi, Takeshi A common fixed point theorem for two sequences of self-mappings. 
92:54044 

Tiwari, M. P. Fixed point theorem for densifying mapping in Hausdorff space. 

Tominaga, A. A note on a fixed point theorem of Okhezin. 92g:54060 

Trombetta, Maurizio On the convergence of iterates defined via pairs of continuous 
functions. (Italian. English summary) 92k:54057 

Turinici, Mihai Finite-dimensional vector contractions and their fixed points. (Romanian 
summary) 

Tuteja, B.S. see Ganguly, Ashok; et al. 

Viksna, Juris A fixed-point theorem for a multivalued function. (Latvian. English and 
Russian summaries) (see 92d:00013) 

Waghmode, B. B. see Sangar, Vandana M. 

Wang, Xia Chang Construction of common fixed points for sequences of nonlinear 
mappings on convex metric spaces. (Chinese. English summary) 

Wa, Bin see Guo, Wei Ping; et al. 

Xu, Hong Kun On weakly nonexpansive and *-nonexpansive multivalued mappings. 
92e:54052 

Yang, Han Shen Fixed-point theorems for C.-Lipschitz mappings on 2-metric spaces. 
(Chinese. English summary) 

Yang, Rong Xian Existence of fixed points of nonlinear mappings and approximation 
methods. (Chinese. English summary) 

Zhang, Shi Sheng Fixed-point theorems for a class of expansive mappings. (Chinese. 
English summary) 92f:54045 

Zhu, Song Tao (with Men, Qing) Sequence of iterates of nonexpansive mappings of class 
(8). (Chinese. English summary) 


Items with secondary classifications in 54H25 

Alpern, Steve (with Prasad, V.S.) Fixed points of area-preserving annulus homeomor- 
phisms. (French summary) 92h:58158 

Azam, Akbar see Beg, Ismat, 92m:47109 

Barge, Marcy (with Gillette, Richard M.) Indecomposability and dynamics of invariant 
plane separating continua. 92k:54049 

Beckert, Herbert Ein Fixpunktsatz fiir mehrdeutige konvexe Abbildungen auf der Sphare. 
(English and Russian summaries) [A fixed-point theorem for multivalued convex 
mappings on the sphere] 92i:55003 

Beg, Ismat (with Azam, Akbar) Existence of fixed points of nonlinear mappings. 
92m:47109 

Bogatyi, S. A. Local indices of iterations of a holomorphic mapping. (Russian) 92e:30014 

Camargo, José Luiz Corréa On common fixed points in locally convex topological vector 
space. 92m:47111 

Canetti, A. (with Marino, Giuseppe; Pietramala, Paolamaria) Fixed point theorems for 
multivalued mappings in Banach spaces. 92g:47084 

Chang, Hsiu Yi A general fixed point theorem and applications. 92i:47066 

Chatterjea, S. K. see Sarkar, Asit Kumar, 92m:47118 

Cho, Yeol Je (with Park, K. S.; Park, W. T.; Kim, Jong Kyu) Coincidence point theorems in 
probabilistic metric spaces. 92k:47107 

Constantin, Gheorghe (with Istratescu, loana) * Elements of probabilistic analysis with 
applications. 92g:46097 

Corominas, Ernest Sur les ensembles ordonnés projectifs et la propriété du point fixe. 
(English summary) [On projective ordered sets and the fixed-point property] 92b:06002 


GENERAL TOPOLOGY 1992 930 


Ding, Xie Ping Continuous selection theorem, coincidence theorem and intersection 
theorems concerning sets with H-convex sections. 92j:54026 

Dominguez Benavides, T. (with Lopez Acedo, Genaro) Fixed points of asymptotically 
contractive mappings. 92j:47108 

Egerland, W. O. Fixed points of expansive analytic mappings. (French summary) 
92i:30005 

Fan, Ky A survey of some results closely related to the Knaster-K ki-M: 
theorem. 92f:90002 

Gaji¢, Ljiljana see Hadzi¢, Olga; et al., 92d:47075 

Gelman, B. D. On some problems from the theory of fixed points of multivalued mappings 
[in Topological and geometric methods of analysis (Russian), 90-105, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91f:54010]. (see 92b:58001) 

Gillette, Richard M. see Barge, Marcy, 92k:54049 

(Giurgiutiu, Victor) see Constantin, Gheorghe, 92g:46097 

Gérniewicz, Lech (with Granas, Andrzej) Topology of morphisms and fixed point problems 
for set-valued maps. (French summary) 92f:54016 

Granas, Andrzej see Gérniewicz, Lech, 92f:54016 

Guo, Wei Ping A localized monotone theorem. (Chinese. English summary) 

Hadizié, Olga (with Gajié, Ljiljana; Janiak, T.) Fixed point theorems for multivalued 
mappings in topological vector spaces and their applications. 924:47075 

— On multivalued contractions in probabilistic metric spaces. (Serbo-Croatian summary) 

— On coincidence points in probabilistic metric spaces with a convex structure. (Serbo- 
Croatian summary) 

Hagopian, Charles L. Fixed-point problems in continuum theory. 92i:54033 

He, Pei Jun The variational principle in fuzzy metric spaces and its applications. 
92m:54014 

Horvath, Charles D. Convexité généralisée et applications. [Generalized convexity; 
applications] 92d:52002 

— Contractibility and generalized convexity. 92f:52002 

Huang, Fa Lun (with Liang, Jin; Xiao, Ti Jun) On a generalization of Horn’s fixed point 
theorem. 92m:47114 

Idzik, Adam Almost fixed point theorems. The plane case problem. 92¢:47105 

Im, Sung Mo (with Kim, Won Kyu) An application of Himmelberg’s fixed point theorem to 
noncompact optimization problems. 92m:47115 

Istratescu, Ioana see Constantin, Gheorghe, 92g:46097 

Izydorek, Marek (with Kucharski, Zygfryd) The Krasnosielski theorem for permissible 
multivalued maps. (Russian summary) 92h:47079 

Janiak, T. see Hadzi¢, Olga; et al., 924:47075 

Jarczyk, Witold Almost iterable functions. 92i:26007 

Jo6, Istvan On a fixed point theorem. 92k:47110 

Kawamura, Kazuhiro Span zero continua and the pseudo-arc. 92b:54070 

Kim, Jong Kyu see Cho, Yeol Je; et al., 92k:47107 

Kim, Won Kyu see Im, Sung Mo, 92m:47115 

Kryszewski, W. Homotopy invariants for set-valued maps. Homotopy approximation 
approach. (French summary) 92g:55004 

Kucharski, Zygfryd see Izydorek, Marek, 92h:47079 

Kucia, Anna (with Nowak, Andrzej S.) Some results and counterexamples on random fixed 
points. 92i:60124 

Kuperberg, Krystyna A lower bound for the number of fixed points of orientation reversing 
homeomorphisms. 92j:54044 

Kurepa, Djuro R. Fixpoint approach in mathematics. 92j:00005 

Lahiri, B. K. see Tiwary, Kalishankar, 92m:47120 

Lassonde, Marc Réduction du cas multivoque au cas univoque dans les problémes de 
coincidence. (English summary) [Reduction of the multivalued case to the single-valued 
case in coincidence problems] 92h:47086 

Li, Bing You see Yan, Xin Li; et al., 92k:47131 

Liang, Jin see Huang, Fa Lun; et al., 92m:47114 

Lin, Michael (with Sine, Robert) Retractions on the fixed point set of semigroups of 
nonexpansive maps in hyperconvex spaces. 92¢:47069 

Lépez Acedo, Genaro see Dominguez Benavides, T., 92j:47108 

Ma, Yi Hai see Zhang, Shi Sheng, 92k:47117 

van Maaren, Hans Fixed point theory in multiply ordered spaces. (French summary) 
92h:54042 

Marino, Giuseppe see Canetti, A.; et al., 92g:47084 

Messano, Basilio Global convergence and nonexistence of periodic points of period 4. 
92a:39009 

(Minakhin, V. V.) see Shashkin, Yu. A., 92j:55001 

Muller, Robert see Zhou, Yu Li, 92e:68118 

Negoescu, Nicoleta Suites d’applications multivoques qui satisfont 4 certaines conditions 
de contractivité. (Romanian summary) [Sequences of multivalued mappings satisfying 
certain contractivity conditions] 

Nowak, Andrzej S. see Kucia, Anna, 92i:60124 

Pandian, R. D. Semigroup compactifications by generalized distal functions and a fixed 
point theorem. 92j:54057 

Park, K.S. see Cho, Yeol Je; et al., 92k:47107 

Park, Sehie Fixed points of condensing inward multifunctions. 92c:47071 

Park, W.T. see Cho, Yeol Je; et al., 92k:47107 

Pietramala, Paolamaria see Canetti, A.; et al., 92g:47084 

Prasad, V.S. see Alpern, Steve, 92h:58158 

Prieto, Carlos (with Ulrich, Hanno) Equivariant fixed point index and fixed point transfer 
in nonzero dimensions. 92c:55015 

Rashwan, R. A. A note on common fixed point theorems. 92i:47072 

Sarkar, Asit Kumar (with Chatterjea, S. K.) Some extensions of the fixed point theorems of 
Brouwer and Darbo. 92m:47118 

Schirmer, Helga Fixed point sets in a prescribed homotopy class. 92a:55003 

— The least number of fixed points of bimaps. 92¢:55003 

Shashkin, Yu. A. * Fixed points. 92j:55001 

Sine, Robert see Lin, Michael, 92-:47069 

Taskovié, Milan R. Extensions of Brouwer’s theorem. 92h:47088 











931 1992 


Tian, Guo Qiang Fixed point theorems for mappings with noncompact and nonconvex 
domains. 92¢:47110 

Tiwary, Kalishankar (with Lahiri, B. K.) Some set-theoretic properties of continuous linear 
operators. 92m:47120 

Ulrich, Hanno see Prieto, Carlos, 92c:55015 

Verheul, E.R. Elementary proofs concerning results about functions on the n-sphere. 
92i:55004 

Voicu, Florica Théorémes de point fixe dans les ensembles convexes. (Romanian summary) 
[Fixed-point theorems in convex sets] 92b:47098 

Wieczorek, Andrzej Compressibility: a property of topological spaces related to abstract 
convexity. 92i:54003 

Xiao, Ti Jun see Huang, Fa Lun; et al., 92m:47114 

Yan, Xin Li (with Li, Bing You) Generalized variational inequalities and minimax 
theorems. (Chinese. English summary) 92k:47131 

Yang, Guang Chong Properties of fixed-point sets of increasing semicompact 1-set 
contraction mapping series {7(A, -)}. (Chinese. English summary) 

Zhang, Shi Sheng (with Ma, Yi Hai) Generalized KKM theorem on H-space with 
applications. 92k:47117 

Zhao, Xue Zhi Estimation of the number of fixed points on the complement. 92f:55001 

Zhou, Yu Li (with Muller, Robert) Domain theory for nonmonotonic functions. 92e:68118 

Zou, Bao Kang Iterative approximation of the solution of a locally Lipschitzian equation. 
(Chinese. English summary) 92h:47090 


54H99 None of the above, but in this section 


Chakrabarti, Sadasiv (with Lahiri, B. K.) Sparse set topology. 
Lahiri, B. K. see Chakrabarti, Sadasiv 

Singal, A.R. (with Yadav, D.S.) On semi-open sets. 

Terada, Toshiji Completely cell soluble spaces. 92k:54058 
Yadav, D.S. see Singal, A. R. 


Items with secondary classifications in 54H99 

Dijkstra, Jan J. (with van Mill, Jan; Mogilski, Jerzy) The space of infinite-dimensional 
compacta and other topological copies of (/2)”. 92k:57034 

Ding, Xie Ping see Lu, Hong Tao; et al., 92i:49019 

Lu, Hong Tao (with Ding, Xie Ping) Some minimax inequalities and variational inequali- 
ties in topological spaces. (Chinese. English summary) 92i:49019 

van Mill, Jan see Dijkstra, Jan J.; et al., 92k:57034 

Mogilski, Jerzy see Dijkstra, Jan J.; et al., 92k:57034 

Narang, T. D. Uniquely remotal sets are singletons. 92j:54036 

Sagan, Hans Some reflections on the emergence of space-filling curves: the way it could have 
happened and should have happened, but did not happen. 92g:01043 

Scheepers, Marion Meager-nowhere dense games. II. Coding strategies. 92m:04001 

Skowron, Andrzej On topology in information systems. (Russian summary) 92a:68028 

Tapi, U. D. Boolean topology. 

Tsar‘kov, I. G. Properties of sets that have a continuous selection from the operator P?. 
(Russian) 92¢:47085 

Vitolo, Paolo Characterizations of simply disconnected complete digraphs. 92d:05069 


54J05 Nonstandard topology [see also 03H05] 


Grenier, Jean-Pierre Applications internes croissantes. L’espace des compacts. [Increasing 
internal mappings. The space of compact subsets] 92b:54088 


Items with secondary classifications in 54J05 
Chiswell, I. M. Nonstandard analysis and the Morgan-Shalen compactification. 92h:57002 


55-XX Algebraic topology 


55-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Items with secondary classifications in 55-01 


(Minakhin, V. V.) see Shashkin, Yu. A., 92j:55001 
Shashkin, Yu. A. * Fixed points. 92j:55001 


55-02 Research exposition (monographs, survey articles) 


Carlsson, Gunnar Problems on algebraic topology. (see 92c:54001) 

Fomenko, A. T. (with Fuks, D. B.) * Kypc romoronuyeckoht Tononoruu. (Russian) [A 
course in homotopic topology] 92a:55001 

Fritsch, Rudolf (with Piccinini, Renzo A.) * Cellular structures in topology. 92d:55001 

Fuks, D. B. see Fomenko, A. T., 92a:55001 

Massey, William S. * A basic course in algebraic topology. 92c:55001 

Mimura, Mamoru (with Toda, Hirosi) * Topology of Lie groups. I, II. 92h:55001 

Piccinini, Renzo A. see Fritsch, Rudolf, 92d:55001 

Schon, Rolf Effective algebraic topology. 92h:55002 

Toda, Hirosi see Mimura, Mamoru, 92h:55001 


Items with secondary classifications in 55-02 


Baues, Hans Joachim * Combinatorial homotopy and 4-dimensional complexes. 
92h:55008 
(Brown, Ronald) see Baues, Hans Joachim, 92h:55008 


ALGEBRAIC TOPOLOGY 


55M10 


Ravenel, Douglas C. The nilpotence and periodicity theorems in stable homotopy theory. 
92g:55013 


55-03 Historical (must also be assigned at least one 
classification number from Section 01) 


Items with secondary classifications in 55-03 

Henn, Hans-Werner (with Puppe, Dieter) Algebraische Topologie. [Algebraic topology] 
92b:01042 

Puppe, Dieter see Henn, Hans-Werner, 92b:01042 


55-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Rubio Garcia, Julio Jestis (with Sergeraert, Francis) Supports acycliques et algorithmique. 
(English summary) [Acyclic supports and computing] 92k:55001 

Sergeraert, Francis see Rubio Garcia, Julio Jestis, 92k:55001 

Tangora, Martin C. Computing with the lambda algebra. (French summary) 92i:55001 


55-06 Proceedings, conferences, collections, etc. 


Items listed otherwise than by author 

Cohomological dimension and soft maps * Kohomorojii jigen to sofuto shazo no kenky0. 
(Japanese) [Cohomological dimension and soft maps] 92i:55002 

Symposium: 


kenkya. (Japanese) [Cohomological dimension and soft maps] 92i:55002 


Items with secondary classifications in 55-06 


(Jackowski, Stefan) see Algebraic topology Poznari 1989, 92f:57002 

(van Mill, Jan) see Open problems in topology, 92c:54001 

(Oliver, Robert) see Algebraic topology Poznan 1989, 92f:57002 

(Pawalowski, K.) see Algebraic topology Poznan 1989, 92f:57002 

(Reed, George M.) see Open problems in topology, 92c:54001 

Items listed otherwise than by author 

Algebraic topology Poznati 1989 * Algebraic topology Poznan 1989. 92f:57002 
Conference: 

Algebraic Topology * Algebraic topology Poznan 1989. 92:57002 
Lecture Notes in Mathematics * Algebraic topology Poznan 1989. 92f:57002 
Open problems in topology * Open problems in topology. 92c:54001 
Poznati * Algebraic topology Poznan 1989. 92f:57002 


55Mxx Classical topics {For the topology of Euclidean 
spaces and manifolds, see 57Nxx.} 


55M05 Duality 


Items with secondary classifications in 55M05 

Bauer, Friedrich-W. A strong-shape theoretical version of a result due to E. Lima. 
92h:55010 

Dranishnikov, A. N. Spanier-Whitehead duality and the stability of intersections of compact 
spaces. (Russian) 92h:55003 

Singh, Neeta Some nonembedding theorems. 924:55022 


55M10 Dimension theory [see also 54F 45] 


Dranishnikov, A. N. Generalized cohomological dimension of compact metric spaces. 
924d:55002 

— Spanier-Whitehead duality and the stability of intersections of compact spaces. (Russian) 
92h:55003 

Dydak, Jerzy (with Walsh, John J.) Estimates of the cohomological dimension of 
decomposition spaces. 92g:55001 

Rubin, Leonard R. Characterizing cohomological dimension: the cohomological dimension 
of AU B. 92g:55002 

Walsh, John J. see Dydak, Jerzy, 92g:55001 


Items with secondary classifications in 55M10 


Dranishnikov, A. N. On intersection of compacta in Euclidean space. II. 92c:54015 

— (with Repovs, Dugan; Shchepin, E. V.) On intersections of compacta of complementary 
dimensions in Euclidean space. 92g:57032 

— (with West, James E.) On compacta that intersect unstably in Euclidean space. 
92m:54063 

Dydak, Jerzy (with Walsh, John J.) Spaces without cohomological dimension preserving 
compactifications. 92¢:54039 

Mitchell, W. J. R. (with Repovs, Dusan) The topology of cell-like mappings. 92f:54012 

Repov3, Dugan see Mitchell, W. J. R., 92f:54012 and Dranishnikov, A. N.; et al., 92g:57032 

Shchepin, E. V. see Dranishnikov, A. N.; et al., 92g:57032 

Walsh, John J. see Dydak, Jerzy, 92c:54039 

West, James E. see Dranishnikov, A. N., 92m:54063 


Items listed otherwise than by author 


(Japanese) [Cohomological dimension and soft maps] 92i:55002 





55M10 


Symposium: 


kenky0. (Japanese) [Cohomological dimension and soft maps] 92i:55002 


55M20 Fixed points and coincidences [see also 54H25] 


Beckert, Herbert Ein Fixpunktsatz fiir mehrdeutige konvexe Abbildungen auf der Sphare. 
(English and Russian summaries) [A fixed-point theorem for multivalued convex 
mappings on the sphere] 92i:55003 

Brooks, Robin (with Wong, Peter Ngai-Sing) On changing fixed points and coincidences to 
roots. 92k:55002 

Crabb, M.C. The Fuller index and T-equivariant stable homotopy theory. 92e:55001 

Dobreriko, R. The obstruction to the deformation of a map out of a subspace. 92g:55003 

Dzedzej, Z. (with Vidal, Antonio) The projective plane and fixed points. (see 92b:00044) 

Griffiths, H. B. The topology of square pegs in round holes. 92h:55004 

Izydorek, Marek On the Bourgin-Yang theorem for multivalued maps in the nonsymmetric 
case. II. 92¢:55002 

— (with Jaworowski, Jan) Parametrized Borsuk-Ulam theorems for multivalued maps. 

92k:55003 

ki, Jan see Izydorek, Marek, 92k:55003 

Jezierski, Jerzy The coincidence Nielsen number for maps into real projective spaces. 
92m:55001 

Kryszewski, W. Homotopy invariants for set-valued maps. Homotopy approximation 
approach. (French summary) 92g:55004 

Lee, Kyung Bai Nielsen numbers of periodic maps on solvmanifolds. 92m:55002 

McCord, Christopher Nielsen numbers and Lefschetz numbers on solvmanifolds. 
92a:55002 

(Minakhin, V. V.) see Shashkin, Yu. A., 92j:55001 

Schirmer, Helga Fixed point sets in a prescribed homotopy class. 92a:55003 

— The least number of fixed points of bimaps. 92¢:55003 

Shashkin, Yu. A. * Fixed points. 92j:55001 

Shiraki, Hisao Equivariant maps with no periodic points. 92a:55004 

Verheul, E.R. Elementary proofs concerning results about functions on the n-sphere. 
921:55004 

Vidal, Antonio see Dzedzej, Z., (92b:00044) 

Wong, Peter Ngai-Sing Equivariant Nielsen fixed point theory for G-maps. 92i:55005 

— On the location of fixed points of G-deformations. 92¢:55004 

— On the computation of the Nielsen numbers and the converse of the Lefschetz coincidence 
theorem. 92m:55003 

— see also Brooks, Robin, 92k:55002 

Woo, Moo Ha Properties of the generalized evaluation subgroup of a topological pair. 
92e:55002 

Zhao, Xue Zhi Estimation of the number of fixed points on the complement. 92f:55001 





Items with secondary classifications in 55M20 


Alpern, Steve (with Beck, Anatole) Hex games and twist maps on the annulus. 92i:90135 

Beck, Anatole see Alpern, Steve, 92i:90135 

Beckert, Herbert Ein Fixpunktsatz fiir mehrdeutige nichtazyklische Abbildungen auf 
der Sphare. (English and Russian summaries) [A fixed point theorem for multivalued 
nonacyclic mappings on the sphere] 92h:54059 

Bertuccioni, Inta Algebraic actions of p-groups. 92k:14045 

Bogatyi, S. A. Local indices of iterations of a holomorphic mapping. (Russian) 92¢:30014 

Chang, Hsiu Yi A general fixed point theorem and applications. 92i:47066 

Chatterjea, S. K. see Sarkar, Asit Kumar, 92m:47118 

Dylawerski, Grzegorz (with Geba, Kazimierz; Jodel, Jerzy; Marzantowicz, Waclaw) An S'- 
equivariant degree and the Fuller index. 92g:58105 

Fan, Ky A survey of some results closely related to the Knaster-Kuratowski-Mazurkiewicz 
theorem. 92f:90002 

Fel'shtyn, A. L. The Reidemeister zeta function and the computation of the Nielsen zeta 
function. 92f:58140 

Fomenko, T. N. Algebraic properties of some cohomological invariants of equivariant 
mappings. (Russian) 92m:55006 

Geba, Kazimierz see Dylawerski, Grzegorz; et al., 92g:58105 

Gelman, B. D. On some problems from the theory of fixed points of multivalued mappings 
{in Topological and geometric methods of analysis (Russian), 90-105, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91f:54010]. (see 92b:58001) 

Gérniewicz, Lech (with Granas, Andrzej) Topology of morphisms and fixed point problems 
for set-valued maps. (French summary) 92£:54016 

Granas, Andrzej see Gérniewicz, Lech, 92f:54016 

Izydorek, Marek (with Kucharski, Zygfryd) The Krasnosielski theorem for permissible 
multivalued maps. (Russian summary) 92h:47079 

Jodel, Jerzy see Dylawerski, Grzegorz; et al., 92g:58105 

Kucharski, Zygfryd see Izydorek, Marek, 92h:47079 

Kuperberg, Krystyna A lower bound for the number of fixed points of orientation reversing 
homeomorphisms. 92j:54044 

Marzantowicz, Waclaw see Dylawerski, Grzegorz; et al., 92g:58105 

Prieto, Carlos (with Ulrich, Hanno) Equivariant fixed point index and fixed point transfer 
in nonzero dimensions. 92¢:55015 

Rohlfs, Jiirgen Lefschetz numbers for arithmetic groups. 92d:11055 

— (with Speh, Birgit) Boundary contributions to Lefschetz numbers for arithmetic groups. 
I. 92d:11056 

Sarkar, Asit Kumar (with Chatterjea, S. K.) Some extensions of the fixed point theorems of 
Brouwer and Darbo. 92m:47118 

Speh, Birgit see Rohlfs, Jiirgen, 92d:11056 

Ulrich, Hanno see Prieto, Carlos, 92c:55015 

Zhao, Zeng Qin The topological degree of af and its applications. (Chinese. English 
summary) 


ALGEBRAIC TOPOLOGY 


55M25 Degree, winding number 


Sklyarenko, E.G. A multidimensional version of the Cauchy residue theorem. (Russian) 
92k:55004 

Zhao, Zeng Qin The topological degree of af and its applications. (Chinese. English 
summary) 


Items with secondary classifications in 55M25 

Borisovich, Yu. G. (with Shpil’berg, M. I.) Relative topological characteristics of mappings 
[in Topological and geometric methods of analysis (Russian), 43-57, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91d:58024]. (see 92b:58001) 

Erbe, Lynn H. (with Geba, Kazimierz; Krawcewicz, W.) Equivariant fixed point index and 
the period-doubling cascades. 92m:58107 

Fetkan, Michal A new method for the existence of solutions of nonlinear differential 
equations. 92¢:35004 

Geba, Kazimierz see Erbe, Lynn H.; et al., 92m:58107 

Gel/man, B. D. On some problems from the theory of fixed points of multivalued mappings 
[in Topological and geometric methods of analysis (Russian), 90-105, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91f:54010]. (see 92b:58001) 

Glangetas, Léo Multiplicité exacte de solutions positives d’une équation elliptique avec 
exposant critique. (English summary) [Exact multiplicity of positive solutions of an 
elliptic equation involving the critical exponent] 92f:35064 

Gérniewicz, Lech (with Granas, Andrzej) Topology of morphisms and fixed point problems 
for set-valued maps. (French summary) 92f:54016 

Granas, Andrzej see Gérniewicz, Lech, 92f:54016 

Krawcewicz, W. see Erbe, Lynn H.; et al., 92m:58107 

Mehihorn, Kurt (with Yap, Chee-Keng) Constructive Whitney-Graustein theorem: or how 
to untangle closed planar curves. 92i:68051 

Mertens, Jean-Francois Essential maps and manifolds. 92k:57041 

Shpil’berg, M. I. see Borisovich, Yu. G., (92b:58001) 

Trapp, Rolland A linear representation of the mapping class group # and the theory of 
winding numbers. 92k:57027 

Verheul, E.R. Elementary proofs concerning results about functions on the n-sphere. 
92i:55004 

Wang, Zhi Qiang A Z, index theory. 92a:58040 

Yap, Chee-Keng see Mehlhorn, Kurt, 92i:68051 

Yokoyama, Misako Computing topological degree using noisy information. 92b:65112 

Zhong, Cheng Kui Computation of the topological degree of equivariant completely 
continuous fields in Banach spaces. (Chinese) 92i:47075 


55M30_ Ljusternik-Schnirelman (Lyusternik-Shnirel‘man) 
category of a space 


James, I. M. (with Morris, J.R.) Fibrewise category. 92g:55005 

Jessup, Barry New estimates for the collapse of the Milnor-Moore spectral sequence over a 
field. 92g:55006 

Morris, J. R. see James, I. M., 92g:55005 


Items with secondary classifications in 55M30 

Bartsch, Thomas (with Clapp, Monica) Bifurcation theory for symmetric potential 
operators and the equivariant cup-length. 92g:58020 

Clapp, Ménica (with Puppe, Dieter) Critical point theory with symmetries. 924:58031 

— see also Bartsch, Thomas, 92g:58020 

Fadell, E. (with Husseini, S.) Category of loop spaces of open subsets in Euclidean space. 
92k:58044 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Loop space homology of spaces 
of LS category one and two. 92b:55006 

— (with Halperin, Stephen; Thomas, Jean-Claude) Elliptic Hopf algebras. 92i:57033 

Halperin, Stephen see Félix, Yves; et al., 92b:55006 and 92i:57033 

Husseini, S. see Fadell, E., 92k:58044 

Krawcewicz, W. (with Marzantowicz, Waclaw) Some remarks on the Lusternik- 
Schnirel/man method for nondifferentiable functionals invariant with respect to a finite 
group action. 92f:58033 

Marzantowicz, Waclaw see Krawcewicz, W., 92f:58033 

Puppe, Dieter see Clapp, Ménica, 92d:58031 

Thomas, Jean-Claude see Félix, Yves; et al., 92b:55006 and 92i:57033 


55M35 Finite groups of transformations (including Smith theory) 
[see also 57817] 


Carlsson, Gunnar Equivariant stable homotopy and Sullivan’s conjecture. 92g:55007 

Dwyer, William G. (with Wilkerson, Clarence W.) Smith theory and the functor T. 
92i:55006 

Greenlees, J. P.C. (with May, J. P.) Some remarks on the structure of Mackey functors. 
92h:55005 

May, J. P. see Greenlees, J. P. C., 92h:55005 

Rabier, Patrick J. Topological degree and the theorem of Borsuk for general covariant 
mappings with applications. 92b:55001 

Stefanov, Simeon T. Mapping theorems for Z,-actions with fixed points. 92e:55003 

Wasserman, Arthur G. Isovariant maps and the Borsuk-Ulam theorem. 92j:55002 

Wilkerson, Clarence W. see Dwyer, William G., 92i:55006 


Items with secondary classifications in 55M35 
Lewis, L. Gaunce, Jr. The equivariant Hurewicz map. 92j:55024 


55M99 None of the above, but in this section 


Items with secondary classifications in 55M99 


Dranishnikov, A. N. On the realization of the dimension functions. III. (Russian) 
92j:54048 





1992 


Krasinkiewicz, Jézef (with Lorentz, Krzysztof) Disjoint membranes in cubes. (Russian 
summary) 924:54045 

Lorentz, Krzysztof On products of essential mappings onto intervals. (Russian summary) 
924:54049 

— see also Krasinkiewicz, Jézef, 92d:54045 

McCord, Christopher Mappings and Morse decompositions in the Conley index theory. 
92):58064 


55Nxx Homology and cohomology theories 
[see also 57Txx] 


55N05 Cech types 


Honkasalo, Hannu A Cech type construction for equivariant cohomology. 92a:55005 
Nikolaishvili, V.V. Homology groups of finite defect. (Russian) 92j:55003 


Items with secondary classifications in 55N05 

Inasaridze, Kh. N. On the Steenrod homology theory of compact spaces. 92f:55003 
Jakobsche, W. Z,-cohomology manifold with no Z,-resolution. 92f:57029 

MardeSi¢, Sibe Approximate inverse systems and approximate resolutions. 924:54015 


Penrose, Roger La cohomologie des figures impossibles. [On the cohomology of impossible 
figures] 92m:52018 


55N07 Steenrod-Sitnikov homologies 


Dabbour, Abd El-Sattar A. (with Salama, T. M.) Projective cohomology over a chain 
complex. 92f:55002 

Inasaridze, Kh. N. On the Steenrod homology theory of compact spaces. 92f:55003 

Salama, T. M. see Dabbour, Abd El-Sattar A., 92£:55002 

Sitnikev, K. A. (with Skurikhin, E. E.) Homology on presheaves of sets. (Russian) 
92k:55005 

Skurikhin, E. E. see Sitnikov, K. A., 92k:55005 


Items with secondary classifications in 55N07 


Dydak, Jerzy (with Nowak, Slawomir) Strong shape for topological spaces. 92a:55011 
Nowak, Slawomir see Dydak, Jerzy, 92a:55011 


55N10 Singular theory 
Spanier, E. Locally constant cohomology. 92¢:55004 


Items with secondary classifications in 55N10 


Cerf, J. Homologie des simplexes plongés: une preuve nouvelle du théor¢me de Lalonde. 
(English summary) [Homology of embedded simplexes: a new proof of the theorem of 
Lalonde] 92b:57036 

Lewis, L. Gaunce, Jr. The equivariant Hurewicz map. 92j:55024 

Nikolaishvili, V.V. Homology groups of finite defect. (Russian) 92j:55003 


55N15 K-theory [see also 19Lxx] {For algebraic K-theory, see 
18F25, 19-XX.} 


Ajetunmobi, M. O. On a theorem of S. G. Hoggar. 92i:55007 

Bousfield, A. K. A classification of K-local spectra. 92d:55003 

Hara, Shin-ichiro Note on KO-theory of BO(n) and BU(n). 92g:55008 

— see also Kono, Akira’, 92g:55009 

Karoubi, Max Théorie générale des classes caractéristiques secondaires. (English summary) 
[General theory of secondary characteristic classes] 92a:55006 

Kono, Akira’ (with Hara, Shin-ichiro) KO-theory of complex Grassmannians. 92g:55009 

Magalhiaes, Luisa The connective K-theory of spinor groups. 92b:55002 


Items with secondary classifications in 55N15 

Atiyah, Michael Francis (with Segal, Graeme B.) On equivariant Euler characteristics. 
92¢:19005 

Hara, Shin-ichiro The Hopf rings for connective Morava K-theory and connective complex 
K-theory. 92¢:55005 

Kassel, Christian Homologie cyclique, caractére de Chern et lemme de perturbation. [Cyclic 
homology, Chern characters and a pertubation lemma] 92d:19002 

Kolosov, V. A. (with Solov'ev, Yu. P.) The rational homotopy type of Hermitian K-theory. 
(Russian) 92b:19002 

Mahowald, Mark (with Thompson, Robert D.) The K-theory localization of an unstable 
sphere. 92k:55017 

Moriyoshi, Hitoshi Chern character for proper '-manifolds. 92b:58225 

Quillen, D. Chern-Simons forms and cyclic cohomology. 92d:19004 

Segal, Graeme B. see Atiyah, Michael Francis, 92c:19005 

Sohn, Moo Young Span of product Dold manifolds. 92d:57021 

Solov'ev, Yu. P. see Kolosov, V. A., 92b:19002 

Thompson, Robert D. see Mahowald, Mark, 92k:55017 

Vallejo, Ernesto Polynomial operations on complex K-theory. 92f:55025 

Yosimura, Zen-ichi Quasi KO,-equivalences; Wood spectra and Anderson spectra. 
92¢:55012 


55N20 Generalized (extraordinary) homology and cohomology 
theories 
Baker, Andrew James Exotic multiplications on Morava K-theories and their liftings. 
92£:55004 
Bendersky, Martin Applications of the Ochanine genus. 92a:55007 
Joshua, Roy Generalised Verdier duality for presheaves of spectra. 1. 92i:55008 


55N Homology and cohomology theories 


55N33 


Tezuka, M. (with Yagita, N.) Cohomology of finite groups and Brown-Peterson cohomol- 
ogy. II. 92b:55003 
Yagita, N. see Tezuka, M., 92b:55003 


Items with secondary classifications in 55N20 

Dranishnikov, A. N. Spanier-Whitehead duality and the stability of intersections of compact 
spaces. (Russian) 92h:55003 

Maruyama, Ken-ichi (with Mimura, Mamoru) Nilpotent subgroups of the group of self- 
homotopy equivalences. 92g:55011 

McCleary, John (with McLaughlin, Dennis A.) Morava K-theory and the free loop space. 
92¢:55011 

McCord, Christopher Poincaré-Lefschetz duality for the homology Conley index. 
92e:58182 

McLaughlin, Dennis A. see McCleary, John, 92c:55011 

Mimura, Mamoru see Maruyama, Ken-ichi, 92g:55011 

Mitchell, W. J. R. (with Repovs, Dusan) The topology of cell-like mappings. 92f:54012 

Phillips, N. Christopher K-theory for Fréchet algebras. 92e:46143 

Repovs, Duan see Mitchell, W. J. R., 92f:54012 

Shimomura, Katsumi A spectrum whose BP,-homology is (BP. //;)[t;]. 92k:55013 

Sitnikov, K. A. (with Skurikhin, E. E.) Homology on presheaves of sets. (Russian) 
92k:55005 

Skurikhin, E. E. see Sitnikov, K. A., 92k:55005 

Wang, Xiaolu Bivariant Chern character. I. (see 91g:47002) 


55N22 Bordism and cobordism theories, formal group laws 


[see also 14L05, 19141, 57R75, 57R77, 57R85, 57R90] 

Baker, Andrew James (with Wiirgler, Urs) Bockstein operations in Morava K-theories. 
92i:55009 

— A. structures on some spectra related to Morava K-theories. 92m:55004 

Magalhies, Luisa An application of a spectral sequence of Adams type. (Portuguese) (see 
92g:00024) 

Rudyak, Yu. B. The problem of the realization of homology classes: from Poincaré to the 
present time. (Russian) 92k:55006 

Wiirgler, Urs see Baker, Andrew James, 92i:55009 


Items with secondary classifications in 55N22 

Baker, Andrew James Exotic multiplications on Morava K-theories and their liftings. 
92£:55004 

Davis, James Frederic (with Milgram, R. James) Free actions on products of spheres: the 
rational case. 92h:57048 

Inoue, Kouichi On a multiplicative structure of BP-cohomology operation algebra. 
92b:55021 

Kochman, Stanley O. Nonrealizability of subalgebras of A*. 92b:55026 

Milgram, R. James see Davis, James Frederic, 92h:57048 

Ravenel, Douglas C. The nilpotence and periodicity theorems in stable homotopy theory. 
92g:55013 

Vershinin, V. V. On bordism rings with principal torsion ideal. 92h:55014 


55N25 Homology with local coefficients, equivariant cohomology 


Stominska, Jolanta Hecke structure on Bredon cohomology. 92k:55007 
— Finiteness conditions in Bredon cohomology. 92j:55004 


Items with secondary classifications in 55N25 

Baues, Hans Joachim * Combinatorial homotopy and 4-dimensional complexes. 
92h:55008 

(Brown, Ronald) see Baues, Hans Joachim, 92h:55008 

Honkasalo, Hannu A Cech type construction for equivariant cohomology. 92a:55005 

Lychagin, V. V. see Zil’bergleit, L. V., (92b:58001) 

Oruc, Melda Yaman Cohomology of the equivariant classifying spaces. 92b:55019 

Svensson, Jan-Alve Equivariant Eilenberg-Mac Lane spaces of type 1. 92i:55010 

ZiVbergleit, L. V. (with Lychagin, V. V.) Spencer cohomology of differential equations 
[in Global analysis and nonlinear equations (Russian), 76-91, Voronezh. Gos. Univ., 
Voronezh, 1988; MR 90m:58246]. (see 92b:58001) 


55N30 Sheaf cohomology [see also 18F20, 32C35, 32L10] 
Vigna Suria, Giuseppe Homotypy on sheaf cohomology. 92k:55008 


Items with secondary classifications in 55N30 

Friedlander, Eric Mark (with Mislin, Guido) Galois descent and cohomology for algebraic 
groups. 92a:14052 

Golovin, V. D. Analytic Fréchet sheaves of finite type. (Russian) 92f:32018 

Habegger, Nathan (with Saper, Leslie) Intersection cohomology of cs-spaces and Zeeman’s 
filtration. 92k:55010 

Mislin, Guido see Friedlander, Eric Mark, 92a:14052 

Saper, Leslie see Habegger, Nathan, 92k:55010 


55N33 Intersection homology and cohomology 


Cohen, Daniel C. (with Goresky, R. Mark; Ji, Lizhen) On the Kiinneth formula for 
intersection cohomology. 92k:55009 

Curran, Stephen J. Intersection homology and free group actions on Witt spaces. 
92m:55005 

Goresky, R. Mark see Cohen, Daniel C.; et al., 92k:55009 

Habegger, Nathan (with Saper, Leslie) Intersection cohomology of cs-spaces and Zeeman’s 
filtration. 92k:55010 

Ji, Lizhen see Cohen, Daniel C.; et al., 92k:55009 

Saper, Leslie see Habegger, Nathan, 92k:55010 





55N33 


Items with secondary classifications in 55N33 

Brasselet, Jean-Paul (with Fieseler, Karl-Heinz; Kaup, Ludger) Classes caractéristiques 
pour les cénes projectifs et homologie d’intersection. [Characteristic classes for projective 
cones and intersection homology] 92k:14022 

Cappell, Sylvain E. (with Shaneson, Julius L.) Singular spaces, characteristic classes, and 
intersection homology. 92m:57026 

— (with Shaneson, Julius L.; Weinberger, Shmuel) Classes topologiques caractéristiques 
pour les actions de groupes sur les espaces singuliers. (English summary) [Topological 
characteristic classes for group actions on singular spaces] 92f:57035 

— (with Weinberger, Shmuel) Classification de certains espaces stratifiés. (English 
summary) [The classification of some stratified spaces] 92h:57042 

Fieseler, Karl-Heinz Rational intersection cohomology of projective toric varieties. 
92m:14028 

— see also Brasselet, Jean-Paul; et al., 92k:14022 

Ginzburg, V. A. Perverse sheaves and C*-actions. 92d:14013 

Kaup, Ludger see Brasselet, Jean-Paul; et al., 92k:14022 

Shaneson, Julius L. see Cappell, Sylvain E.; et al., 92f:57035 and 92m:57026 

Weinberger, Shmuel see Cappell, Sylvain E.; et al., 92:57035 and 92h:57042 


55N35 Other homology theories 


Brown, Edgar H. (with Szczarba, Robert H.) Continuous cohomology and real homotopy 
type. II. 924:55004 

Extremiana Aldana, José Ignacio (with Hernandez, L. J.; Rivas, Martin) Cellular homolo- 
gies of finite proper CW-complexes. 92f:55005 

Hernandez, L. J. see Extremiana Aldana, José Ignacio; et al., 92£:55005 

Mitchell, Stephen A. Harmonic localization of algebraic K-theory spectra. 92j:55005 

Rivas, Martin see Extremiana Aldana, José Ignacio; et al., 92f:55005 

Saralegi Aranguren, Martin Intersection homology: comparison for different perversities. 
(Spanish) (see 92g:00024) 

Szczarba, Robert H. see Brown, Edgar H., 924:55004 

Tralle, A. E. Cyclic homology of some topological spaces. (Russian) 92j:55006 

Wiargler, Urs Morava K-theories: a survey. 92j:55007 


Items with secondary classifications in 55N35 

Ernst, Kaspar (with Feng, Ping; Jaffe, Arthur M.; Lesniewski, Andrzej) Quantum K-theory. 
II. Homotopy invariance of the Chern character. 92¢:46136 

Feng, Ping see Ernst, Kaspar; et al., 92¢:46136 

Iversen, Birger Cauchy residues and de Rham homology. 92¢:58004 

Jaffe, Arthur M. see Ernst, Kaspar; et al., 92¢:46136 

Kassel, Christian Homologie cyclique, caractére de Chern et lemme de perturbation. [Cyclic 
homology, Chern characters and a pertubation lemma] 924:19002 

Lesniewski, Andrzej see Ernst, Kaspar; et al., 92e:46136 

Nishida, Goro Modular forms and the double transfer for BT”. 92f:55018 

Ochanine, Serge Elliptic genera, modular forms over KO, and the Brown-Kervaire 
invariant. 92a:57031 

Sitnikov, K. A. (with Skurikhin, E. E.) Homology on presheaves of sets. (Russian) 
92k:55005 

Skurikhin, E. E. see Sitnikov, K. A., 92k:55005 


55N40 Axioms for homology theory and uniqueness theorems 


Items with secondary classifications in 55N40 


Inasaridze, Kh. N. On the Steenrod homology theory of compact spaces. 92£:55003 
Spanier, E. Locally constant cohomology. 92¢:55004 


55N45_ Products and intersections 
De Michelis, Stefano A remark on cup products in H'(X). (Italian summary) 92g:55010 


Items with secondary classifications in 55N45 


Dyer, M. N. (with Leahy, J. V.; Mooney, L. J.) On the cup product for groups. 92k:20099 
Leahy, J. V. see Dyer, M. N.; et al., 92k:20099 
Mooney, L. J. see Dyer, M. N.; et al., 92k:20099 


55N91 Equivariant homology and cohomology [see also 19L47] 
Fomenko, T. N. Algebraic properties of some cohomological invariants of equivariant 
mappings. (Russian) 92m:55006 


Strickland, Elisabetta Computing the equivariant cohomology of group compactifications. 
92h:55006 


Items with secondary classifications in 55N91 

Allday, C. (with Puppe, V.) Some applications of shifted subgroups in transformation 
groups. 92j:57022 

Chen, Hua (with Lee, Doobum) A remark on equivariant Poincaré duality. 92m:57043 

Costenoble, Steven R. (with Waner, Stefan) G-transversality revisited. 92m:57044 

— (with Waner, Stefan) Generalized Toda brackets and equivariant Moore spectra. 
92m:55015 

Crabb, M.C. Invariants of fixed-point-free circle actions. 92c:57034 

Honkasalo, Hannu A Cech type construction for equivariant cohomology. 92a:55005 

Kriz, Igor Equivariant cohomology and lower bounds for chromatic numbers. 92m:05085 

Lee, Doobum see Chen, Hua, 92m:57043 

Lewis, L. Gaunce, Jr. The equivariant Hurewicz map. 92j:55024 

Phillips, N. Christopher Five problems on operator algebras. (see 92d:00034) 

Prieto, Carles (with Ulrich, Hanno) Equivariant fixed point index and fixed point transfer 
in nonzero dimensions. 92¢:55015 

Puppe, V. see Allday, C., 92j:57022 

Stominska, Jolanta Finiteness conditions in Bredon cohomology. 92j:55004 


ALGEBRAIC TOPOLOGY 


Ulrich, Hanno see Prieto, Carlos, 92c:55015 
Vistoli, Angelo Higher equivariant K-theory for finite group actions. 924:19005 
Waner, Stefan see Costenoble, Steven R., 92m:55015 and 92m:57044 


55N99 None of the above, but in this section 


Bendersky, Martin (with Gitler, Sam) The cohomology of certain function spaces. 
924:55005 

Dabbour, Abd El-Sattar A. Some varieties of the K-Kolmogorov homology groups. 

Gitler, Sam see Bendersky, Martin, 92d:55005 

Hara, Shin-ichiro The Hopf rings for connective Morava K-theory and connective complex 
K-theory. 92c:55005 


Items with secondary classifications in 55N99 

Fieseler, Karl-Heinz (with Kaup, Ludger) Fixed points, exceptional orbits, and homology 
of affine C*-surfaces. 92¢:14044 

Giler, S. see Kunz, Jutta; et al., 92j:81331 

Gramain, André Cohomologie bornée et géométrie. [Bounded cohomology and geometry] 
92m:53076 

Guriéan, Jaroslav Homology theory in the alternative set theory. I. Algebraic preliminaries. 
92i:03058 

Halperin, Stephen (with Vigué-Poirrier, Micheline) The homology of a free loop space. 
92e:55012 

Izepe Rodrigues, Claudina Z>-fixed sets of stationary point free Z4-actions. 92i:57030 

Kaup, Ludger see Fieseler, Karl-Heinz, 92e:14044 

Kosiriski, P. see Kunz, Jutta; et al., 92j:81331 

Kunz, Jutta (with Maslanka, P.; Giler, S.; Kosinski, P.) Quantum BRST cohomology. 
92j:81331 

Masianka, P. see Kunz, Jutta; et al., 92j:81331 

Mrozek, Marian Some remarks on Garay’s conjecture. 92i:54020 

Salamon, Dietmar Morse theory, the Conley index and Floer homology. 92a:58028 

Vigué-Poirrier, Micheline see Halperin, Stephen, 92e:55012 


55Pxx Homotopy theory {For simple homotopy type, see 
57Q10.} 


55P05 Homotopy extension properties, cofibrations 


Items with secondary classifications in 55P05 


Booth, P. I. Equivalent homotopy theories and groups of self-equivalences. 92c:55006 

Cabeza Laguna, Josefina (with Elvira, M. C.; Hernandez, L. J.) A cofibration category for 
proper functions. (Spanish. English summary) (see 92b:00044) 

Elvira, M.C. see Cabeza Laguna, Josefina; et al., (92b:00044) 

Hernandez, L. J. see Cabeza Laguna, Josefina; et al., (92b:00044) 

Padrén, Edith (with Rodriguez-Machin, Sergio) Model-additive categories. 92g:55024 

Rodriguez-Machin, Sergio see Padrén, Edith, 92g:55024 


55P10 Homotopy equivalences 


Booth, P. I. Equivalent homotopy theories and groups of self-equivalences. 92c:55006 

— (with Heath, P. R.) On the groups #(X x Y) and FP(X xg Y). 92c:55007 

Gutiérrez, Mauricio A. (with Latiolais, M. P.) Partial homotopy type of finite two- 
complexes. 92h:55007 

Heath, P.R. see Booth, P. 1., 92c:55007 

Hirashima, Yasumasa Multiplicative structures on monoids of self homotopy equivalences 
of K(G, 1)-spaces. 92d:55006 

Latiolais, M. P. see Gutiérrez, Mauricio A., 92h:55007 

Maruyama, Ken-ichi (with Mimura, Mamoru) Nilpotent subgroups of the group of self- 
homotopy equivalences. 92g:55011 

Mimura, Mamoru see Maruyama, Ken-ichi, 92g:55011 

Meller, Jesper Michael Self-homotopy equivalences of group cohomology spaces. 
92j:55008 

Postol, Michael S. Homotopy and topological actions on spaces with few homotopy groups. 
92e:55005 

Roitberg, Joseph Note on phantom phenomena and groups of self-h 
92:55006 

Rutter, John W. Homotopy self-equivalence groups of unions of spaces: including Moore- 
spaces. 92¢:55006 

— The group of homotopy self-equivalences of non-simply-connected spaces using 
Postnikov decompositions. 92j:55009 

Yan, Dung Yung On the Thom spectra over Q(SU(n)/SO(n)) and Mahowald’s X; spectra. 
92m:55007 


py equi es 





Items with secondary classifications in 55P10 

Aubry, M. (with Lemaire, Jean-Michel) Sur certaines équivalences d’homotopies. (English 
summary) [On some homotopy equivalences] 924:55010 

Cappell, Sylvain E. (with Shaneson, Julius L.) Stratifiable maps and topological invariants. 
92d:57024 

Didierjean, Genevieve Homotopie de l’espace des équivalences d’homotopie. (English 
summary) [Homotopy of the space of he py equivalences] 92f:55017 

Hardie, K. A. (with Kamps, K. H.; Porter, Timothy) The coherent homotopy category over 
a fixed space is a category of fractions. 92i:55015 


Kamps, K. H. (with Porter, Timothy) Note on bridging theorems for semisimplicial sets. 
92a:55018 

— see also Hardie, K. A.; et al., 92i:55015 

Lemaire, Jean-Michel see Aubry, M., 92d:55010 

Lustig, Martin Nielsen equivalence and simple-homotopy type. 92a:57025 








935 1992 


Porter, Timothy see Kamps, K. H., 92a:55018 and Hardie, K. A.; et al., 921:55015 
Shaneson, Julius L. see Cappell, Sylvain E., 92d:57024 


Yamaguchi, Kohhei Self-homotopy equivalences and highly connected Poincaré complexes. 
92e:57032 


55P15 Classification of homotopy type 


Anick, David J. (with Dror Farjoun, E.) On the space of maps between R-local CW 
complexes. 92¢:55008 

Ayala, R. (with Dominguez Murillo, Eladio; Marquez, Alberto; Quintero, A.) Proper 
homotopy classification of graphs. 92a:55008 

Baues, Hans Joachim * Combinatorial homotopy and 4-dimensional complexes. 
92h:55008 

— On the homotopy category of Moore spaces and an old result of Barratt. 92j:55010 

— (with Hennes, Matthias) The homotopy classification of (m — 1)-connected (n + 3)- 
dimensional polyhedra, n > 4. 92d:55007 

Bokor, Imre On the connection between the topological genus of certain polyhedra and the 
algebraic genus of their Hilton-Hopf quadratic forms. 92c¢:55009 

(Brown, Ronald) see Baues, Hans Joachim, 92h:55008 

Cohen, F. R. (with Cohen, R. L.; Mann, Benjamin M.; Milgram, R. James) The topology of 
rational functions and divisors of surfaces. 92k:55011 

Cohen, R. L. see Cohen, F. R.; et al., 92k:55011 

Dominguez Murillo, Eladio see Ayala, R.; et al., 92a:55008 

Dror Farjoun, E. see Anick, David J., 92c:55008 

Dwyer, William G. (with Wilkerson, Clarence W.) Spaces of null homotopic maps. 
92b:55004 

Hennes, Matthias see Baues, Hans Joachim, 92d:55007 

Kono, Akira’ A note on the homotopy type of certain gauge groups. 92b:55005 

Mahowald, Mark (with Richter, William) QSU(3) splits after four suspensions, but not 
two. 92j:55011 

Mann, Benjamin M. see Cohen, F. R.; et al., 92k:55011 

Marquez, Alberto see Ayala, R.; et al., 92a:55008 

McGibbon, C. A. (with Moller, Jesper Michael) On spaces with the same n-type for all n. 
92m:55008 

Milgram, R. James see Cohen, F. R.; et al., 92k:55011 

Meller, Jesper Michael see McGibbon, C. A., 92m:55008 

Quintero, A. see Ayala, R.; et al., 92a:55008 

Richter, William see Mahowald, Mark, 92j:55011 

Wilkerson, Clarence W. see Dwyer, William G., 92b:55004 


Items with secondary classifications in 55P15 


Bokor, Imre On genus and cancellation in homotopy. 92k:55014 

Bracho, Javier (with Calvillo Vives, Gilberto) Homotopy classification of projective convex 
sets. 92b:52019 

Calvillo Vives, Gilberto see Bracho, Javier, 92b:52019 

Hog-Angeloni, Cynthia A short topological proof of Cohn’s theorem. 92e:57003 

— On the homotopy type of 2-complexes with a free product of cyclic groups as fundamental 
group. 92e:57004 

Korkes, F. J. (with Porter, Timothy) Nilpotent crossed modules and pro-C completions. 
(French summary) 92d:18009 

Llerena, Irene Wedge cancellation of certain mapping cones. 92j:55022 

Lupton, Gregory Algebras realized by n rational homotopy types. 92f:55015 

Porter, Timothy see Korkes, F. J., 92d:18009 

Scheerer, Hans (with Tanré, Daniel) R-local homotopy theory as part of tame homotopy 
theory. 92b:55012 

Tanré, Daniel see Scheerer, Hans, 92b:55012 


55P20 Eilenberg-Mac Lane spaces 


Baues, Hans Joachim Metastable homotopy and homology. 92j:55012 
Svensson, Jan-Alve Equivariant Eilenberg-Mac Lane spaces of type 1. 92i:55010 


Items with secondary classifications in 55P20 

Rosebrock, Stephan A reduced spherical diagram into a ribbon-disk complement and 
related examples. 92h:57006 

Shubladze, M. Sh. Infinitely determined hyperplane singularities. (Russian. English and 
Georgian summaries) 92a:32043 

Stein, Melanie Groups of piecewise linear homeomorphisms. 92k:20075 


55P25 Spanier-Whitehead duality 


Items with secondary classifications in 55P25 


Dranishnikov, A. N. Spanier-Whitehead duality and the stability of intersections of compact 
spaces. (Russian) 92h:55003 

Schochet, Claude The Kasparov groups for commutative C*-algebras and Spanier- 
Whitehead duality. 92¢:46138 


55P30 Eckmann-Hilton duality 


Items with secondary classifications in 55P30 


Ando, Hideo On dimensional homotopy pull-backs and push-outs. II. 92d:55015a 
— (with Fukuhara, Kenzo) On dimensional homotopy pull-backs and push-outs. III. 
92d:55015b 


Fukuhara, Kenzo see Ando, Hideo, 92d:55015b 
55P35 Loop spaces 


Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Loop space homology of spaces 
of LS category one and two. 92b:55006 


55P Homotopy theory 


55P45 


— (with Halperin, Stephen; Thomas, Jean-Claude) Elliptic spaces. 92m:55009 

— (with Lemaire, Jean-Michel) On the Pontryagin algebra of the loops on a space with a cell 
attached. 92:55007 

— (with Halperin, Stephen; Thomas, Jean-Claude) Adams’ cobar equivalence. 92e:55007 

Halperin, Stephen see Félix, Yves; et al., 92b:55006; 92e:55007 and 92m:55009 

Kachi, Hideyuki Homotopy commutativity of the loop space of a finite CW-complex. 
92b:55007 

Kono, Akira' (with Kozima, Kazumoto) Homology of the Kac-Moody groups. II. 
92b:55008 

— (with Kozima, Kazumoto) Homology of the Kac-Moody groups. III. 92m:55010 

Kozima, Kazumoto see Kono, Akira! , 92b:55008 and 92m:55010 

Kuribayashi, Katsuhiko On the mod p cohomology of the spaces of free loops on the 
Grassmann and Stiefel manifolds. 92c:55010 

Lemaire, Jean-Michel see Félix, Yves, 92f:55007 

Masbaum, Gregor On the cohomology of the classifying space of the gauge group over some 
4-complexes. (French summary) 92a:55009 

McCleary, John (with McLaughlin, Dennis A.) Morava K-theory and the free loop space. 
92¢:55011 

McLaughlin, Dennis A. see McCleary, John, 92c:55011 

Notbohm, Dietrich (with Smith, Larry) Fake Lie groups and maximal tori. I, II. 
92k:55012a 

— (with Smith, Larry) Fake Lie groups and maximal tori. III. 92k:55012b 

Saumell, L. Homotopy commutativity of finite loop spaces. 92d:55008 

Scheerer, Hans (with Tanré, Daniel) The Milnor-Moore theorem in tame homotopy theory. 
92e:55008 

Smith, Larry see Notbohm, Dietrich, 92k:55012a and 92k:55012b 

Tanré, Daniel see Scheerer, Hans, 92e:55008 

Thomas, Jean-Claude see Félix, Yves; et al., 92b:55006; 92e:55007 and 92m:55009 


Items with secondary classifications in 55P35 


Burghelea, D. The free loop space. I. Algebraic topology. 92h:57053 

Cohen, F.R. (with Cohen, R. L.; Mann, Benjamin M.; Milgram, R. James) The topology of 
rational functions and divisors of surfaces. 92k:55011 

Cohen, R. L. see Cohen, F. R.; et al., 92k:55011 p 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Elliptic Hopf algebras. 
92i:57033 

Halperin, Stephen see Félix, Yves; et al., 92i:57033 

Mahowald, Mark (with Ossa, Erich) Vector bundles on loop spaces of spheres. 92f:55024 

— (with Richter, William) QSU(3) splits after four suspensions, but not two. 92j:55011 

Mann, Benjamin M. see Cohen, F. R.; et al., 92k:55011 

Milgram, R. James see Cohen, F. R.; et al., 92k:55011 

Ossa, Erich see Mahowald, Mark, 92f:55024 

Richter, William see Mahowald, Mark, 92j:55011 

Schin, Rolf Effective algebraic topology. 92h:55002 

Thomas, Jean-Claude see Félix, Yves; et al., 92i:57033 

Vasil’ev, V.A. Topology of complements to discriminants and loop spaces. 92e:32019 

Vigué-Poirrier, Micheline Homologie de Hochschild et homologie cyclique des algebres 
différentielles graduées. [Hochschild homology and cyclic homology in graded differential 
algebras] 92e:19003 

Zamboni, Luca Quardo A Chern character in cyclic homology. 92g:19006 


55P42 Stable homotopy theory, spectra 


Kochman, Stanley O. Nonrealizability of subalgebras of A*. 92b:55026 

Lee, Chun-Nip Stable splittings of the dual spectrum of the classifying space of a compact 
Lie group. 92g:55012 

Lewis, L. Gaunce, Jr. Is there a convenient category of spectra? 92f:55008 

Ravenel, Douglas C. The nilpotence and periodicity theorems in stable homotopy theory. 
92g:55013 

Shimomura, Katsumi A spectrum whose BP,-homology is (BP. //s)[¢;]. 92k:55013 

Yosimura, Zen-ichi Quasi KO,-equivalences; Wood spectra and Anderson spectra. 
92¢:55012 

— Quasi K-homology equivalences. I, II. 92j:55013 


Items with secondary classifications in 55P42 

Bousfield, A. K. A classification of K-local spectra. 924:55003 

Imaoka, Mitsunori Vanishing of Im J classes in the stunted quaternionic projective spaces. 
92e:55014 

Lewis, L. Gaunce, Jr.‘ The equivariant Hurewicz map. 92j:55024 

Martino, John (with Priddy, Stewart) Classification of BG for groups with dihedral or 
quarternion Sylow 2-subgroups. 92f:55022 

Priddy, Stewart see Martino, John, 92f:55022 

Prieto, Carlos (with Ulrich, Hanno) Equivariant fixed point index and fixed point transfer 
in nonzero dimensions. 92c¢:55015 

Rudyak, Yu. B. The problem of the realization of homology classes: from Poincaré to the 
present time. (Russian) 92k:55006 

Ulrich, Hanno see Prieto, Carlos, 92c:55015 

Vershinin, V. V. On bordism rings with principal torsion ideal. 92h:55014 

Wiirgler, Urs Morava K-theories: a survey. 92j:55007 


55P45 H-spaces and duals 


Arkowitz, Martin (with Lupton, Gregory) Loop-theoretic properties of H-spaces. 
92b:55009 

Bokor, Imre On genus and cancellation in homotopy. 92k:55014 

Hemmi, Yutaka The projective plane of an H-pairing. 92m:55011 

— On mod 3 homotopy associative and homotopy commutative Hopf spaces. 92i:55011 

— Higher homotopy commutativity of H-spaces and the mod p torus theorem. 92a:55010 

Kanemoto, Tohru On the higher homotopy associativity of p-regular Hopf spaces. 
92b:55010 





55P45 


Kono, Akira! On Harper’s mod p H-space of rank 2. 924:55009 

Lin, James P. (with Williams, Frank) Two torsion and homotopy associative H-spaces. 
921:55009 

— (with Williams, Frank) Homotopy-commutative H-spaces. 92b:55011 

— (with Williams, Frank) The type of a torsion free finite loop space. 92j:55014 

Lupton, Gregory see Arkowitz, Martin, 92b:55009 

Slack, Michael A classification theorem for homotopy commutative H-spaces with finitely 
generated mod 2 cohomology rings. 92k:55015 

Williams, Frank see Lin, James P., 92b:55011; 92f:55009 and 92j:55014 


Items with secondary classifications in 55P45 

Arkowitz, Martin (with Lupton, Gregory) Rational co-H-spaces. 92j:55017 

Hemmi, Yutaka Mod 3 homotopy associative finite H-spaces and sphere extensions of 
classical groups. 92a:57045 

Kachi, Hideyuki Homotopy commutativity of the loop space of a finite CW-complex. 
92b:55007 

Lewis, L. Gaunce, Jr. Is there a convenient category of spectra? 92f:55008 

Lupton, Gregory see Arkowitz, Martin, 92j:55017 


55P47 Infinite loop spaces 


Minami, Norihike Multiplicative homology operations and transfer. 92h:55009 
Shimakawa, Kazuhisa A note onIg-spaces. 92j:55015 


Items with secondary classifications in 55P47 

Arlettaz, Dominique The Hurewicz homomorphism in algebraic K-theory. 92k:55027 
Lewis, L. Gaunce, Jr. Is there a convenient category of spectra? 92f:55008 

Vogell, Wolrad Algebraic K-theory of spaces, with bounded control. 92b:19001 


55P50 Category and cocategory, etc. 


Matumoto, Takao Lusternik-Schnirel/mann category of ribbon knot complement. 92£:55010 
Montejano, Luis Categorical and contractible covers of polyhedra; some topological 
invariants related to the Lusternik-Schnirelmann category. 92e:55009 


Items with secondary classifications in 55P50 


Hess, Kathryn P. A proof of Ganea’s conjecture for rational spaces. 92d:55012 

James, I. M. (with Morris, J.R.) Fibrewise category. 92g:55005 

Jessup, Barry New estimates for the collapse of the Milnor-Moore spectral sequence over a 
field. 92g:55006 

Morris, J. R. see James, I. M., 92g:55005 


55P55 Shape theory [see also 54C56, 55Q07] 


Baladze, V. Kh. Fiber shape theory and resolutions. (Serbo-Croatian summary) 92k:55016 

Batanin, M. A. Strong and weak shape equivalences of compact metric spaces. (Russian) 
92:55011a 

— Letter to the editor: “Strong and weak shape equivalences of compact metric spaces”. 
(Russian) 92£:55011b 

Bauer, Friedrich-W. A strong-shape theoretical version of a result due to E. Lima. 
92h:55010 

Dydak. Jerzy (with Nowak, Slawomir) Strong shape for topological spaces. 92a:55011 

Ginther, Bernd Strong shape of compact Hausdorff spaces. 92m:55012 

MardeSi¢, Sibe (with Sekutkovski, Nikita) Coherent inverse systems and strong shape 
theory. (Serbo-Croatian summary) 92j:55016 

— Strong expansions and strong shape theory. 92e:55010 

Nowak, Slawomir see Dydak, Jerzy, 92a:55011 

Sekutkovski, Nikita see Mardedié, Sibe, 92):55016 


Items with secondary classifications in 55P55 

Ayala, R. (with Dominguez Murillo, Eladio; Marquez, Alberto; Quintero, A.) Proper 
homotopy classification of graphs. 92a:55008 

Baladze, V. Kh. Shapes with locally compact supports. (Russian. English and Georgian 
summaries) 92b:54032 

Bykov, A. I. (with Zerkalov, L.G.) Hereditary shape equivalence, absolute shape softness 
and cotelescope construction. (Russian) 92m:54037 

Dominguez Murillo, Eladio see Ayala, R.; et al., 92a:55008 

Gaszak, A. The Whitehead theorem in equivariant shape theory. (Serbo-Croatian summary) 
92c:54023 

Laguna, V.F. (with Moron, M. A.; Sanjurjo, José M. R.) Generalized refinable maps and 
images of FANRs. 92g:54009 

Marde3i¢, Sibe Resolutions of spaces are strong expansions. 92k:54014 

Marquez, Alberto see Ayala, R.; et al., 92a:55008 

Morén, M. A. see Laguna, V. F.; et al., 92g:54009 

Quintero, A. see Ayala, R.; et al., 92a:55008 

Sanjurjo, José M. R. An intrinsic description of shape. 92e:54013 

— see also Laguna, V. F.; et al., 92g:54009 

Zerkalov, L.G. see Bykov, A. I., 92m:54037 


55P60 Localization and completion 


Bousfield, A. K. On the p-adic completions of nonnilpotent spaces. 92g:55014 

Dwyer, William G. (with Miller, H. R.; Wilkerson, Clarence W.) Homotopical uniqueness 
of classifying spaces. 92m:55013 

Mahowald, Mark (with Thompson, Robert D.) The K-theory localization of an unstable 
sphere. 92k:55017 

Miller, H.R. see Dwyer, William G.; et al., 92m:55013 

Reynol Filho, Augusto Nilpotent spaces: some inequalities on nilpotency degrees. 92i:55012 

Scheerer, Hans (with Tanré, Daniel) R-local homotopy theory as part of tame homotopy 
theory. 92b:55012 


ALGEBRAIC TOPOLOGY 


Tanré, Daniel see Scheerer, Hans, 92b:55012 
Thompson, Robert D. see Mahowald, Mark, 92k:55017 
Wilkerson, Clarence W. see Dwyer, William G.; et al., 92m:55013 


Items with secondary classifications in 55P60 

Bokor, Imre On the connection between the topological genus of certain polyhedra and the 
algebraic genus of their Hilton-Hopf quadratic forms. 92c:55009 

Carlsson, Gunnar Equivariant stable homotopy and Sullivan’s conjecture. 92g:55007 

— On the homotopy fixed point problem for free loop spaces and other function complexes. 
92g:19002 

Casacuberta, Carles The behaviour of homology in the localization of finite groups. 
92g:20080 

— (with Hilton, Peter J.) Calculating the Mislin genus for a certain family of nilpotent 
groups. 92j:20032 

Ginther, Bernd Strong shape of compact Hausdorff spaces. 92m:55012 

Hilton, Peter J. see Casacuberta, Carles, 92j:20032 

Jessup, Barry New estimates for the collapse of the Milnor-Moore spectral sequence over a 
field. 92g:55006 

Legrand, A. Differential graded modules over a nonconnected differential graded algebra. 
92k:16016 

McGibbon, C. A. (with Moller, Jesper Michael) On spaces with the same n-type for all n. 
92m:55008 

Meller, Jesper Michael see McGibbon, C. A., 92m:55008 

Notbohm, Dietrich (with Smith, Larry) Fake Lie groups and maximal tori. I, II. 
92k:55012a 

— (with Smith, Larry) Fake Lie groups and maximal tori. III. 92k:55012b 

Scheerer, Hans (with Tanré, Daniel) The Milnor-Moore theorem in tame homotopy theory. 
92e:55008 

Shitanda, Yoshimi Fibrations over classifying spaces. 92g:55020 

Smith, Larry see Notbohm, Dietrich, 92k:55012a and 92k:55012b 

Tanré, Daniel see Scheerer, Hans, 92¢:55008 


55P62 Rational homotopy theory 


Arkowitz, Martin (with Lupton, Gregory) Rational co-H-spaces. 92j:55017 

Aubry, M. (with Lemaire, Jean-Michel) Sur certaines équivalences d’homotopies. (English 
summary) [On some homotopy equivalences] 92d:55010 

Avramov, Luchezar L. (with Félix, Yves) Espaces de Golod. [Golod spaces] 924:55011 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Engel elements in the 
homotopy Lie algebra. 92m:55014 

— see also Avramov, Luchezar L., 924:55011 

Gémez-Tato, Antonio Théorie de Sullivan pour la cohomologie a coefficients locaux. 
(English summary) [Sullivan’s theory for cohomology with local coefficients] 92f:55012 

Griffiths, Phillip A. (with Morgan, John Willard) * PanuonanbHaa Teopusa romoTonHi H 
muddepenunanbubie dbopmpt. (Russian) [Rational homotopy theory and differential forms] 
92f:55013 

Halperin, Stephen Torsion gaps in the homotopy of finite complexes. II. 92f:55014 

— see also Félix, Yves; et al., 92m:55014 

Hess, Kathryn P. A proof of Ganea’s conjecture for rational spaces. 92d:55012 

Kadeishvili, T. V. Realization of maps in the rational homotopy theory. (Russian and 
Georgian summaries) 92j:55018 

Lemaire, Jean-Michel see Aubry, M., 92d:55010 

Lupton, Gregory Note on a conjecture of Stephen Halperin’s. 92a:55012 

— Algebras realized by n rational homotopy types. 92f:55015 

— see also Arkowitz, Martin, 92j:55017 

Markl, Martin The rigidity of Poincaré duality algebras and classification of homotopy 
types of manifolds. 924:55013 

— (with Papadima, Stefan) Geometric decompositions, algebraic models and rigidity 
theorems. 92£:55016 

Morgan, John Willard see Griffiths, Phillip A., 92f:55013 

Murillo, Aniceto Rational fibrations in differential homological algebra. 92j:55019 

Papadima, Stefan see Markl, Martin, 92f:55016 

(Pazhitnov, A. V.) see Griffiths, Phillip A., 92f:55013 

Roig, Agusti Direct images and rational homotopy. (Spanish. English summary) (see 
92b:00044) 

Saneblidze, Samson The set of multiplicative predifferentials and the rational cohomology 
algebra of fibre spaces. 92i:55013 

Thomas, Jean-Claude see Félix, Yves; et al., 92m:55014 


Items with secondary classifications in 55P62 

Arapura, Donu Vanishing theorems for V-manifolds. 92k:32050 

Arkowitz, Martin (with Lupton, Gregory) Loop-theoretic properties of H-spaces. 
92b:55009 

Bismut, Jean-Michel (with Cheeger, Jeff) Transgression de la classe d’Euler de SL(2, Z)- 
fibrés vectoriels, limites adiabatiques d’invariants éta, et valeurs spéciales de fonctions 
L. (English summary) [Transgression of the Euler class of SL(2n, Z)-vector bundles, 
adiabatic limits of eta invariants, and special values of L-functions] 92e:55016 

Brown, Edgar H. (with Szczarba, Robert H.) Continuous cohomology and real homotopy 
type. II. 92d:55004 

Cheeger, Jeff see Bismut, Jean-Michel, 92e:55016 

Cordero, Luis A. (with Fernandez, Marisa Luisa; Gray, Alfred) Minimal models in 
differential geometry. (Spanish) 92h:53038 

Fernandez, Marisa Luisa see Cordero, Luis A.; et al., 92h:53038 

Gray, Alfred see Cordero, Luis A.; et al., 92h:53038 

Grove, Karsten (with Halperin, Stephen) Elliptic isometries, condition (C) and proper 
maps. 92b:58040 

Halperin, Stephen see Grove, Karsten, 92b:58040 

Jessup, Barry New estimates for the collapse of the Milnor-Moore spectral sequence over a 
field. 92g:55006 





937 1992 


Kreck, Matthias (with Triantafillou, Georgia) On the classification of manifolds up to finite 
ambiguity. 92h:57041 

Lambre, Thierry Modéle minimal équivariant et formalité. (English summary) [An 
equivariant minimal model and formality] 92a:55013 

Lupton, Gregory see Arkowitz, Martin, 92b:55009 

Rothenberg, Melvin G. (with Triantafillou, Georgia) On the classification of G-manifolds 
up to finite ambiguity. 92f:57049 


Scheerer, Hans (with Tanré, Daniel) The Milnor-Moore theorem in tame homotopy theory. 


92e:55008 

Szczarba, Robert H. see Brown, Edgar H., 92d:55004 

Tanré, Daniel see Scheerer, Hans, 92e:55008 

Triantafillou, Georgia see Rothenberg, Melvin G., 92f:57049 and Kreck, Matthias, 
92h:57041 


55P65 Homotopy functors 


Dwyer, William G. (with Kan, D. M.) Centric maps and realization of diagrams in the 
homotopy category. 92e:55011 

Kan, D. M. see Dwyer, William G., 92e:55011 

Matveev, A.G. Semi-exact functors and cohomology theories on the category of spectra. 
(Russian) 924:55014 

Schon, Rolf On representable half-exact functors over B. 92b:55013 


Items with secondary classifications in 55P65 


Dwyer, William G. (with Wilkerson, Clarence W.) Smith theory and the functor 7. 
92i:55006 


Scheerer, Hans (with Tanré, Daniel) The Milnor-Moore theorem in tame homotopy theory. 


92e:55008 
Tanré, Daniel see Scheerer, Hans, 92e:55008 
Wilkerson, Clarence W. see Dwyer, William G., 92i:55006 


55P91 Equivariant homotopy theory [see also 19L47] 


Carlsson, Gunnar Equivariant stable homotopy theory and the finite descent problem for 
unstable algebraic K-theories. 92k:55018 

Costenoble, Steven R. (with Waner, Stefan) Generalized Toda brackets and equivariant 
Moore spectra. 92m:55015 

Lambre, Thierry Modéle minimal équivariant et formalité. (English summary) [An 
equivariant minimal model and formality] 92a:55013 

Magiropoulos, Manolis On spaces of equivariant isomorphisms. 92i:55014 

Waner, Stefan see Costenoble, Steven R., 92m:55015 


Items with secondary classifications in 55P91 


Assadi, Amir H. Localization and the Sullivan fixed point conjecture. 92m:57045 

Carlsson, Gunnar Equivariant stable homotopy and Sullivan’s conjecture. 92g:55007 

— On the homotopy fixed point problem for free loop spaces and other function complexes. 
92g:19002 

Crabb, M.C. Invariants of fixed-point-free circle actions. 92¢:57034 

— The Fuller index and T-equivariant stable homotopy theory. 92e:55001 

Erbe, Lynn H. (with Geba, Kazimierz; Krawcewicz, W.) Equivariant fixed point index and 
the period-doubling cascades. 92m:58107 

Fomenko, T. N. Algebraic properties of some cohomological invariants of equivariant 
mappings. (Russian) 92m:55006 

Geba, Kazimierz see Erbe, Lynn H.; et al., 92m:58107 

Krawcewicz, W. see Erbe, Lynn H.; et al., 92m:58107 

Lewis, L. Gaunce, Jr. The equivariant Hurewicz map. 92j:55024 

Madsen, Ib (with Raussen, Martin) Locally linear representation forms. 92k:57067 

Minami, Norihiko Multiplicative homology operations and transfer. 92h:55009 

Phillips, N. Christopher Five problems on operator algebras. (see 92d:00034) 

Prieto, Carlos (with Ulrich, Hanno) Equivariant fixed point index and fixed point transfer 
in nonzero dimensions. 92¢:55015 

Raussen, Martin see Madsen, Ib, 92k:57067 

Svensson, Jan-Alve Equivariant Eilenberg-Mac Lane spaces of type 1. 92i:55010 

Ulrich, Hanno see Prieto, Carlos, 92c:55015 

Wilczytiski, Dariusz M. Periodic maps on simply connected four-manifolds. 92¢:57054 


55P99 None of the above, but in this section 


Ando, Hideo On dimensional homotopy pull-backs and push-outs. II. 92d:55015a 

— (with Fukuhara, Kenzo) On dimensional homotopy pull-backs and push-outs. III. 
924:55015b 

Dula, Giora On conic spaces. 92g:55015 

Fukuhara, Kenzo see Ando, Hideo, 924:55015b 

Halperin, Stephen (with Vigué-Poirrier, Micheline) The homology of a free loop space. 
92e:55012 

Hardie, K. A. (with Kamps, K. H.; Porter, Timothy) The coherent homotopy category over 
a fixed space is a category of fractions. 92i:55015 

Kamps, K. H. see Hardie, K. A.; et al., 92i:55015 

Katsuura, Hidefumi Pseudocontraction and homotopy of the sin(1/x) curve. 92j:55020 

Porter, Timothy see Hardie, K. A.; et al., 92i:55015 

Vigué-Poirrier, Micheline see Halperin, Stephen, 92e:55012 


Items with secondary classifications in 55P99 

Alonso, Maria Emilia (with Raimondo, Mario) The computation of the topology of a 
planar semi-algebraic set. 92e:14051 

Arvola, William A. Complexified real arrangements of hyperplanes. 92d:52027 

Cordier, J.-M. (with Porter, Timothy) Fibrant diagrams, rectifications and a construction 
of Loday. 92a:55017 

Extremiana Aldana, José Ignacio (with Hernandez, L. J.; Rivas, Martin) Cellular homolo- 
gies of finite proper CW-complexes. 92f:55005 


55Q Homotopy groups 


55Q15 


Fritsch, Rudolf (with Piccinini, Renzo A.) CW-complexes and Euclidean spaces. 
92k:54033 

Goodwillie, Thomas G. Calculus. I. The first derivative of pseudoisotopy theory. 92m:57027 

Hernandez, L. J. see Extremiana Aldana, José Ignacio; et al., 92f:55005 

Jardine, J. F. Supercoherence. 92m:18011 

Kalish, Diane Homotopy type of path spaces. 92k:58019 

Katz, Mikhail On neighborhoods of the Kuratowski imbedding beyond the first extremum 
of the diameter functional. 92i:53039 

Kawamura, Kazuhiro Each map from the Cantor set to the pseudo-arc is null pseudo- 
homotopic. 92k:54038 

Koschorke, Ulrich Link homotopy. 92¢:57036 

Lambe, Larry A. Resolutions via homological perturbation. 92k:68050 

Mimura, Mamoru (with Toda, Hirosi) * Topology of Lie groups. I, II. 92h:55001 

Mitchell, W. J. R. (with Repovs, Dusan) The topology of cell-like mappings. 92f:54012 

Orlik, Peter Complements of subspace arrangements. 92h:52014 

Piccinini, Renzo A. see Fritsch, Rudolf, 92k:54033 

Porter, Timothy see Cordier, J.-M., 92a:55017 

Raimondo, Mario see Alonso, Maria Emilia, 92e:14051 

Repovs, DuSan see Mitchell, W. J. R., 92f:54012 

Rivas, Martin see Extremiana Aldana, José Ignacio; et al., 92f:55005 

Rodriguez-Machin, Sergio Categories with a natural cone. (Spanish. English summary) (see 
92b:00044) 

Roitberg, Joseph Note on phantom phenomena and groups of self-homotopy equivalences. 
92£:55006 

Sarychev, A. V. Homotopy properties of the space of trajectories of a completely nonholo- 
nomic differential system. (Russian) 92d:58026 

Shibuya, Tetsuo Two self-#-equivalences of links in solid tori. 92e:57019 

Stasheff, Jim An almost groupoid structure for the space of (open) strings and implications 
for string field theory. 92a:81159 

Thévenaz, Jacques (with Webb, P. J.) Homotopy equivalence of posets with a group action. 
92k:20049 

Toda, Hirosi see Mimura, Mamoru, 92h:55001 

Webb, P. J. see Thévenaz, Jacques, 92k:20049 


55Qxx Homotopy groups 


55Q05 Homotopy groups, general; sets of homotopy classes 


Davis, Donald M. The v;-periodic homotopy groups of SU(m) at odd primes. 924:55016 

Dominguez Murillo, Eladio (with Hernandez, L. J.) Remarks about proper ends. 92b:55014 

Hardie, K. A. (with Kamps, K. H.; Marcum, H.) Computing homotopy groups of a 
homotopy pullback. 92k:55019 

Hernandez, L. J. see Dominguez Murillo, Eladio, 92b:55014 

Kamps, K.H. see Hardie, K. A.; et al., 92k:55019 

Marcum, H. see Hardie, K. A.; et al., 92k:55019 


Items with secondary classifications in 55Q05 

Baues, Hans Joachim * Combinatorial homotopy and 4-dimensional complexes. 
92h:55008 

(Brown, Ronald) see Baues, Hans Joachim, 92h:55008 

Dadarlat, M. (with Pasnicu, Cornel) On certain automorphisms of reduced crossed 
products with discrete groups. 92a:46077 

Halperin, Stephen Torsion gaps in the homotopy of finite complexes. II. 92:55014 

Kono, Akira’ A note on the homotopy type of certain gauge groups. 92b:55005 

Latch, Dana May The connection between the fundamental groupoid and a unification 
algorithm for syntactil algebras (extended abstract). (French summary) 

Lee, Kee Young see Woo, Moo Ha, 92b:55016 

Maruyama, Ken-ichi (with Mimura, Mamoru) Nilpotent subgroups of the group of self- 
homotopy equivalences. 92g:55011 

Mimura, Mamoru see Maruyama, Ken-ichi, 92g:55011 

Pasnicu, Cornel see Dadarlat, M., 92a:46077 

Rutter, John W. Homotopy self-equivalence groups of unions of spaces: including Moore- 
spaces. 92e:55006 

Schén, Rolf Effective algebraic topology. 92h:55002 

Williams, Jeffrey George (with Zvengrowski, P.) Kink metrics in (2 + 1)-dimensional 
space-time. 92m:53111 

Wojtkowiak, Zdzislaw Maps between p-completions of the Clark-Ewing spaces X(W, p,n). 
92b:55018 

Woo, Moo Ha (with Lee, Kee Young) Exact G-sequences and relative G-pairs. 92b:55016 

Zvengrowski, P. see Williams, Jeffrey George, 92m:53111 


55Q10 Stable homotopy groups 


Arlettaz, Dominique Universal bounds for the exponent of stable homotopy groups. 
92e:55013 


Items with secondary classifications in 55Q10 

Imaoka, Mitsunori Vanishing of Im J classes in the stunted quaternionic projective spaces. 
92e:55014 

Zarati, Said Derived functors of the destabilization and the Adams spectral sequence. 
92¢:55020 


55Q15 Whitehead products and generalizations 


Iriye, Kouyemon (with Morisugi, Kaoru) On the factorization of the Whitehead product 
[t2n+1,tan+1]. 92j:55021 
Morisugi, Kaoru see Iriye, Kouyemon, 92j:55021 





55Q15 


Items with secondary classifications in 55Q15 


Goerss, Paul G. André-Quillen cohomology and the Bousfield-Kan spectral sequence. 
92e:55019 


55Q20 Homotopy groups of wedges, joins, and simple spaces 

Eda, Katsuya A locally simply connected space and fundamental groups of one point unions 
of cones. 92k:55020 

Llerena, frene Wedge cancellation of certain mapping cones. 92j:55022 


55Q25 Hopf invariants 
Hardie, K. A. Approximating the homotopy sequence of a pair of spaces. 92g:55016 


Items with secondary classifications in 55Q25 

de Azcarraga, José A. (with Izquierdo, J. M.; Zakrzewski, Wojciech J.) Models with Hopf 
terms. 92m:81151 

Dula, Giora On conic spaces. 92g:55015 

Izquierdo, J. M. see de Azcarraga, José A.; et al., 92m:81151 

Morisugi, Kaoru On the homotopy group 7,,4(Sp(m)) and the Hopf invariant. 92a:55014 

Zakrzewski, Wojciech J. see de Azcarraga, José A.; et al., 92m:81151 

Zarati, Said Derived functors of the destabilization and the Adams spectral sequence. 
92¢:55020 


55Q35 Operations in homotopy groups 
Sadofsky, Hal The root invariant and v-periodic families. 92k:55021 


Items with secondary classifications in 55Q35 

Hardie, K. A. (with Kamps, K. H.; Marcum, H.) Computing homotopy groups of a 
homotopy pullback. 92k:55019 

— Approximating the homotopy sequence of a pair of spaces. 92g:55016 

Kamps, K.H. see Hardie, K. A.; et al., 92k:55019 

Marcum, H. see Hardie, K. A.; et al., 92k:55019 


55Q40 Homotopy groups of spheres 


Items with secondary classifications in 55Q40 

Arlettaz, Dominique Universal bounds for the exponent of stable homotopy groups. 
92e:55013 

Yamaguchi, Kohhei Self-maps of £‘CP? fork > 1. 92a:55016 


55Q45 Stable homotopy of spheres 


Imaoka, Mitsunori y-elements in S'-transfer images. 92k:55022 
Lin, Wén Hsiung An infinite family in 22% at Adams filtration seven. 92c:55013 


Items with secondary classifications in 55Q45 


Davis, Donald M. The v;-periodic homotopy groups of SU(n) at odd primes. 924:55016 

Iriye, Kouyemon (with Morisugi, Kaoru) On the factorization of the Whitehead product 
[tan+1)lan+i]. 92j:55021 

Lee, Chun-Nip Stable splittings of the dual spectrum of the classifying space of a compact 
Lie group. 92g:55012 

Morisugi, Kaoru see Iriye, Kouyemon, 92j:55021 


55Q50 J-morphism [see also 191.20] 


Imaoka, Mitsunori Vanishing of Im J classes in the stunted quaternionic projective spaces. 
92e:55014 


Li, Gui Song On the generalized J-homomorphism. 92k:55023 


55Q52 Homotopy groups of special spaces 


Didierjean, Genevieve Homotopie de l’espace des équivalences d’homotopie. (English 
summary) [Homotopy of the space of homotopy equivalences] 92f:55017 

Morisugi, Kaoru On the homotopy group 7¢,,,4(Sp(m)) and the Hopf invariant. 92a:55014 

Mukai, Juno Remarks on homotopy groups of symmetric spaces. 92b:55015 

Oprea, John Finite group actions on spheres and the Gottlieb group. 92g:55017 

Rodriguez-Machin, Sergio Additive homotopy. (Spanish) (see 92g:00024) 

— Postnikov systems in additive homotopy. (Spanish) (see 92g:00024) 

— Duality in additive homotopy. (Spanish) (see 92g:00024) 

— Additive semisimplicial homotopy. (Spanish) (see 92g:00024) 

— Additive homotopy groups. (Spanish) (see 92g:00024) 


Items with secondary classifications in 55Q52 

Abdelal, Mohammed (with Onder, Turgut) Homotopy groups of some homogeneous spaces 
and some remarks on their sections over spheres. 92f:57052 

Davis, Donald M. The v;-periodic homotopy groups of SU(m) at odd primes. 924:55016 

Hardie, K. A. (with Kamps, K. H.; Marcum, H.) Computing homotopy groups of a 
homotopy pullback. 92k:55019 

Kamps, K.H. see Hardie, K. A.; et al., 92k:55019 

Klinkhamer, F.R. Another look at the SU(2) anomaly. 924:81134 

Koschorke, Ulrich Link homotopy with many components. 92b:57033 

Marcum, H. see Hardie, K. A.; et al., 92k:55019 

Min, Cheong-Sick Group actions on fibrations and suspension of ring. 92m:19003 

Onder, Turgut see Abdelal, Mohammed, 92f:57052 


ALGEBRAIC TOPOLOGY 


55Q55 Cohomotopy groups 


Kono, Akira! (with Oshima, Hideaki) Codegree of simple Lie groups. II. 92¢:55014 
Oshima, Hideaki (with Takahara, Koji) Cohomotopy of Lie groups. 92j:55023 

— see also Kono, Akira’, 92c:55014 

Takahara, Koji see Oshima, Hideaki, 92j:55023 


55Q70 Homotopy groups of special types [see also 55N05, 
55N07] 


Lee, Kee Young see Woo, Moo Ha, 92b:55016 
Woo, Moo Ha (with Lee, Kee Young) Exact G-sequences and relative G-pairs. 92b:55016 


55Q91 Equivariant homotopy groups [see also 19L47] 
Lewis, L. Gaunce, Jr. The equivariant Hurewicz map. 92j:55024 


Items with secondary classifications in 55Q91 
Crabb, M. C. Invariants of fixed-point-free circle actions. 92¢:57034 
Magiropoulos, Manolis On spaces of equivariant isomorphisms. 92i:55014 


55Q99 None of the above, but in this section 


Items with secondary classifications in 55Q99 

Dwyer, William G. (with Wilkerson, Clarence W.) Spaces of null homotopic maps. 
92b:55004 

Khimshiashvili, G. N. Homotopies of invertible pseudodifferential operators. (Russian 
summary) 92b:58221 

Reynol Filho, Augusto Nilpotent spaces: some inequalities on nilpotency degrees. 92i:55012 

Wilkerson, Clarence W. see Dwyer, William G., 92b:55004 


55Rxx Fiber spaces and bundles [see also 18F 15, 32Lxx, 
46M20, 57R20, 57R22, 57R25] 


55R05 Fiber spaces 


Broto, Carlos Thom modules and mod p spherical fibrations. 92g:55018 

Ferdinands, John Some complex Grassmannian manifolds that do not fibre nontrivially. 
92g:55019 

Rutter, John W. Whitney sums (fibre-joins) in over space theory and obstruction theory for 
cohomology with local coefficients. 92d:55017 


Items with secondary classifications in 55R05 

Hardie, K. A. (with Kamps, K. H.; Porter, Timothy) The coherent homotopy category over 
a fixed space is a category of fractions. 92i:55015 

Kamps, K. H. see Hardie, K. A.; et al., 92i:55015 

Kuribayashi, Katsuhiko On the mod p cohomology of the spaces of free loops on the 
Grassmann and Stiefel manifolds. 92c:55010 

Porter, Timothy see Hardie, K. A.; et al., 92i:55015 

Saaidia, El-Kamel Brace-produit et suites spectrales en homotopie. (English summary) 
[Brace-product and homotopy spectral sequences] 92d:55018 


55R10 Fiber bundles 


Bozek, Milo’ (with Drechsler, Konrad) Morphismen von Fahnenmengen. (Russian and 
Slovak summaries) [Morphisms of flag sets] 92k:55024 

Daverman, Robert J. 3-manifolds with geometric structure and approximate fibrations. 
92m:55016 

De Michelis, Stefano Line bundles with c,(L)? = 0. Higher order obstructions. (Italian 
summary) 92m:55017 

— Line bundles with c,(L)? = 0. A six-dimensional example. (Italian summary) 92m:55018 

Drechsler, Konrad see Bozek, Milos, 92k:55024 

Lin, Wén Hsiung Indecomposability of the Stiefel manifolds V,,,,. 92e:55015 

Park, Chan Young On the weak automorphism group of a principal bundle, product case. 
92h:55011 

Rovenskii, V. Yu. Twisted Hopf bundles. (Russian) 92j:55025 


Items with secondary classifications in 55R10 

Cordero, Luis A. (with Fernandez, Marisa Luisa; Gray, Alfred) The fiber structure of a 
compact nilmanifold. (Spanish) 92k:57069 

Fernandez, Marisa Luisa see Cordero, Luis A.; et al., 92k:57069 

Fulp, Ronald O. Affine geometries defined by fiber preserving diffeomorphisms. 92g:53020 

Gray, Alfred see Cordero, Luis A.; et al., 92k:57069 

Hemmi, Yutaka Mod 3 homotopy associative finite H-spaces and sphere extensions of 
classical groups. 92a:57045 

Kono, Akira! A note on the homotopy type of certain gauge groups. 92b:55005 

McCord, Christopher Nielsen numbers and Lefschetz numbers on solvmanifolds. 
92a:55002 

Mikulski, Wiodzimierz Locally determined associated spaces over principal fibre bundles. 
92i:58007 

Minakawa, Hiroyuki Examples of exceptional homomorphisms which have nontrivial Euler 
numbers. 924:57017 

Muta, Masanori (with Shibuya, Ken-ichi; Umeno, Takashi) Complex analytic fibre bundles 
over C" x P™. 924:32039 

Ryzhov, A. B. (with Savinkov, A. G.) Discrete symmetries of monopole bundles. 
92k:81113 

Savinkov, A. G. see Ryzhov, A. B., 92k:81113 

Shibuya, Ken-ichi see Muta, Masanori; et al., 92d:32039 





939 1992 


Socolovsky, M. Gauge transformations and fiber bundle theory. 92m:53042 

Suvorov, V. V. Morphisms of G-spaces that determine invariant framings and connections. 
(Russian) 92k:53087 

Umeno, Takashi see Muta, Masanori; et al., 92d:32039 

Vajaitu, Viorel A complete topology for the sheaf of sections of a morphic bundle. 
92£:32019 


55R12 Transfer 


Becker, James C. (with Gottlieb, Daniel Henry) Vector fields and transfers. 92k:55025 

Gottlieb, Daniel Henry see Becker, James C., 92k:55025 

Nishida, Goro Modular forms and the double transfer for BT. 92£:55018 

Prieto, Carlos (with Ulrich, Hanno) Equivariant fixed point index and fixed point transfer 
in nonzero dimensions. 92c:55015 

Ulrich, Hanno see Prieto, Carlos, 92c:55015 


Items with secondary classifications in 55R12 
Vallejo, Ernesto Polynomial operations on complex K-theory. 92f:55025 


55R15 Classification 
Shitanda, Yoshimi Fibrations over classifying spaces. 92g:55020 


Items with secondary classifications in 55R15 

Hughes, C. Bruce (with Taylor, Laurence R.; Williams, E. Bruce) Manifold approximate 
fibrations are approximately bundles. 92k:57040 

Ohba, Kiyoshi On fiber bundles over S' having small Seifert manifolds as fibers. 92b:57041 

Taylor, Laurence R. see Hughes, C. Bruce; et al., 92k:57040 

Williams, E. Bruce see Hughes, C. Bruce; et al., 92k:57040 


55R20 Spectral sequences and homology of fiber spaces 
[see also 55Txx] 


Berikashvili, N. A. On the homology theory of fibrations. (Russian and Georgian sum- 
maries) 92h:55012a 

— High-level models of fibrations. (Russian and Georgian summaries) 92h:55012b 

— High-level multiplicative models of fibrations. (Russian and Georgian summaries) 
92h:55012c 

Bismut, Jean-Michel (with Cheeger, Jeff) Transgression de la classe d’Euler de SL(2n, Z)- 
fibrés vectoriels, limites adiabatiques d’invariants éta, et valeurs spéciales de fonctions 
L. (English summary) [Transgression of the Euler class of SL(2n, Z)-vector bundles, 
adiabatic limits of eta invariants, and special values of L-functions] 92e:55016 

Cheeger, Jeff see Bismut, Jean-Michel, 92e:55016 

Khusainov, A. A. Homotopy covering equivalence and the spectral sequence of a foliation. 
(Russian) 92m:55019 

Saaidia, El-Kamel Brace-produit et suites spectrales en homotopie. (English summary) 
[Brace-product and homotopy spectral sequences] 924:55018 


Items with secondary classifications in 55R20 

Anick, David J. The Adams-Hilton model for a fibration over a sphere. 92i:55017 

Brown, Edgar H. (with Szczarba, Robert H.) Continuous cohomology and real homotopy 
type. II. 92d:55004 

Brylinski, Jean-Luc Noncommutative Ruelle-Sullivan type currents. 92e:57044 

Cordero, Luis A. Holomorphic principal torus bundles, curvature and compact complex 
nilmanifolds. 92b:53111 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Adams’ cobar equivalence. 
92e:55007 

Halperin, Stephen see Félix, Yves; et al., 92e:55007 

Szczarba, Robert H. see Brown, Edgar H., 92d:55004 

Thomas, Jean-Claude see Félix, Yves; et al., 92e:55007 


55R25 Sphere bundles and vector space bundles 


De Michelis, Stefano Line bundles with c,(L)* = 0. (Italian summary) 924:55019 
Orientability of vector bundles and formulae for Stiefel-Whitney 
classes. 92f:55019 


Items with secondary classifications in 55R25 

Izydorek, Marek (with Jaworowski, Jan) Parametrized Borsuk-Ulam theorems for 
multivalued maps. 92k:55003 

Jaworowski, Jan see Izydorek, Marek, 92k:55003 

Kephart, Thomas W. (with Yuan, Tzu-Chiang) Discrete monopoles and instantons over 
projective spaces. 92d:81088 

Lehmann, Daniel Résidus des sous-variétés invariantes d’un feuilletage singulier. (English 
summary) [Residues of invariant submanifolds of a singular foliation] 92k:57054 

Lin, Wén Hsiung A structure theorem on Grassmann manifolds. 92d:57019 

Minakawa, Hiroyuki Examples of exceptional homomorphisms which have nontrivial Euler 
numbers. 924:57017 

Yuan, Tzu-Chiang see Kephart, Thomas W., 92d:81088 


55R35 Classifying spaces of groups and H-spaces 


Adachi, Masahisa A note on IC-structures. 92f:55020 

Campbell, H. E. A. (with Hughes, I.; Pappalardi, F.; Selick, P. S.) On the ring of invariants 
of F3,. 92d:55020 

Dror Farjoun, E. (with Smith, Jeffrey Henderson) A geometric interpretation of Lannes’ 
functor T. 92h:55013 

Henn, Hans-Werner Cohomological p-nilpotence criteria for compact Lie groups. 
92¢:55016 

Hughes, I. see Campbell, H. E. A.; et al., 92d:55020 


55R Fiber spaces and bundles 


55R60 


Ishiguro, Kenshi Rigidity of p-completed classifying spaces of alternating groups and 
classical groups over a finite field. 92f:55021 

Jackowski, Stefan (with McClure, James) Homotopy decomposition of classifying spaces 
via elementary abelian subgroups. 92k:55026 

Kane, Richard (with Notbohm, Dietrich) Elementary abelian p subgroups of Lie groups. 
925:55026 

Martino, John (with Priddy, Stewart) Classification of BG for groups with dihedral or 
quarternion Sylow 2-subgroups. 92f:55022 

McClure, James see Jackowski, Stefan, 92k:55026 

Notbohm, Dietrich Maps between classifying spaces. 92b:55017 

— see also Kane, Richard, 92j:55026 

Pappalardi, F. see Campbell, H. E. A.; et al., 92d:55020 

Priddy, Stewart see Martino, John, 92f:55022 

Selick, P.S. see Campbell, H. E. A.; et al., 92d:55020 

Smith, Jeffrey Henderson see Dror Farjoun, E., 92h:55013 

Wojtkowiak, Zdzislaw Maps between p-completions of the Clark-Ewing spaces X(W, p,m). 
92b:55018 


Items with secondary classifications in 55R35 

Carlsson, Gunnar Equivariant stable homotopy and Sullivan’s conjecture. 92g:55007 

Hirashima, Yasumasa Multiplicative structures on monoids of self homotopy equivalences 
of K(G, 1)-spaces. 924:55006 

Min, Cheong-Sick Group actions on fibrations and suspension of ring. 92m:19003 

Mislin, Guido On group homomorphisms inducing mod-p cohomology isomorphisms. 
92a:20059 

Notbohm, Dietrich (with Smith, Larry) Fake Lie groups and maximal tori. I, II. 
92k:55012a 

— (with Smith, Larry) Fake Lie groups and maximal tori. III. 92k:55012b 

Shitanda, Yoshimi Fibrations over classifying spaces. 92g:55020 

Smith, Larry see Notbohm, Dietrich, 92k:55012a and 92k:55012b 

Svensson, Jan-Alve Equivariant Eilenberg-Mac Lane spaces of type 1. 92i:55010 


55R40 Homology of classifying spaces, characteristic classes 
[see also 57Txx, 57R20] 


Astey, L. (with Gitler, Sam; Micha, E.; Pastor, Guillermo) Characteristic classes invariant 
under stable fibre homotopy type. 924:55021 

Gitler, Sam _ see Astey, L.; et al., 92d:55021 

Jaworowski, Jan An additive basis for the cohomology of real Grassmannians. 92m:55020 

Micha, E. see Astey, L.; et al., 92d:55021 

Orug, Melda Yaman Cohomology of the equivariant classifying spaces. 92b:55019 

Pastor, Guillermo see Astey, L.; et al., 92d:55021 

Rivadeneyra Pérez, Juan Juliin Some classes in bu*(bu). (Spanish) 92j:55027 

Singh, Neeta On topological and homotopy invariance of integral Pontrjagin classes modulo 
a prime p. 92f:55023 

Vershinin, V. V. On bordism rings with principal torsion ideal. 92h:55014 


Items with secondary classifications in 55R40 

Bismut, Jean-Michel (with Cheeger, Jeff) Transgression de la classe d’Euler de SL(2n, Z)- 
fibrés vectoriels, limites adiabatiques d’invariants éta, et valeurs spéciales de fonctions 
L. (English summary) [Transgression of the Euler class of SL(2, Z)-vector bundles, 
adiabatic limits of eta invariants, and special values of L-functions] 92e:55016 

Boyer, Charles P. (with Mann, Benjamin M.; Waggoner, Daniel) On the homology of 
SU(n) instantons. 92a:58021 

Cheeger, Jeff see Bismut, Jean-Michel, 92¢:55016 

Chern, Shiing Shen Transgression in associated bundles. 92g:53019 

Henn, Hans-Werner Cohomological p-nilpotence criteria for compact Lie groups. 
92¢:55016 

Mann, Benjamin M. see Boyer, Charles P.; et al., 92a:58021 

Symonds, Peter A splitting principle for group representations. 92h:20015 

Waggoner, Daniel see Boyer, Charles P.; et al., 92a:58021 


55R50 Stable classes of vector space bundles, K-theory 
[see also 19Lxx] {For algebraic K-theory, see 18F25, 
19-XX.} 

Mahowald, Mark (with Ossa, Erich) Vector bundles on loop spaces of spheres. 92f:55024 

Ossa, Erich see Mahowald, Mark, 92f:55024 

Vanderwinden, A.-J. Totally geodesic spheres in complex Grassmannians and unitary 

groups. 92h:55015 
Items with secondary classifications in 55R50 
Junod, Bernard Quelq' ésultats de non-i sion des formes sphériques quaternion- 


iques. (English summary) [Some nonimmersion results for quaternionic spherical forms] 
92i:57029 





55R55  Fiberings with singularities 


Items with secondary classifications in 55R55 


Lustig, Martin (with Moriah, Yoav) Nielsen equivalence in Fuchsian groups and Seifert 
fibered spaces. 92e:57001 
Moriah, Yoav see Lustig, Martin, 92e:57001 


55R60 Microbundles and block bundles [see also 57N55, 57Q50] 


Singh, Neeta Some new classes in the stable homotopy groups of the Thom space MSTOP 
of stable universal topological bundle. 92m:55021 





55R65 


55R65 Generalizations of fiber spaces and bundles 


Daverman, Robert J. Manifolds with finite first homology as codimension 2 fibrators. 
92a:55015 


Items with secondary classifications in 55R65 

Bykov, A. I. (with Zerkalov, L.G.) Hereditary shape equivalence, absolute shape softness 
and cotelescope construction. (Russian) 92m:54037 

De Michelis, Stefano Line bundles with c;(L)* = 0. A six-dimensional example. (Italian 
summary) 92m:55018 

Zerkalov, L.G. see Bykov, A. I., 92m:54037 


55R91 Equivariant fiber spaces and bundles [see also 19L47] 

Sadowski, Michal On isomorphisms between fibrations over T* associated with a T* action. 
92¢:55017 

Vidal, Antonio On C-locally trivial spaces over finite G-complexes. 92g:55021 


Items with secondary classifications in 55R91 
Lashof, R. Equivariant prequantization. 92e:58080 
Oruc, Melda Yaman Cohomology of the equivariant classifying spaces. 92b:55019 


55R99 None of the above, but in this section 


Items with secondary classifications in 55R99 

Baladze, V. Kh. Fiber shape theory and resolutions. (Serbo-Croatian summary) 92k:55016 

Glazebrook, James F. A note on families of Dirac operators. 92f:58170 

Jambu, Michel Yves Arrangements d’hyperplans. II. Topologie et géométrie. 2. (English 
summary) [Arrangements of hyperplanes. II. Topology and geometry. 2] 92a:52018 

Li, Bang He (with Li, Gui Song) Codimension one or two immersions and submersions of 
low-dimensional manifolds. 924:55023 

Li, Gui Song see Li, Bang He; et al., 92d:55023 


55Sxx Operations and obstructions 


55S05 Primary cohomology operations 


Nguyén Hii’u Viét Hu’ng The action of the Steenrod squares on the modular invariants of 
linear groups. 92c:55018 


Items with secondary classifications in 55S05 

Hemmi, Yutaka The projective plane of an H-pairing. 92m:55011 

Lin, James P. (with Williams, Frank) Homotopy-commutative H-spaces. 92b:55011 
Williams, Frank see Lin, James P., 92b:55011 


55S10 Steenrod algebra 


Ali, Mohamed Truncated polynomial algebras over the Steenrod algebra. 92b:55020 

Harris, John C. (with Shank, R. James) Lannes’ T functor on summands of H*(B(Z/p)*). 
92m:55022 

Henn, Hans-Werner Finiteness properties of injective resolutions of certain unstable 
modules over the Steenrod algebra and applications. 92i:55016 

Ishitoya, Kiminao Squaring operations in the Hermitian symmetric spaces. 92j:55028 

Lomonaco, Luciano Dickson invariants and the universal Steenrod algebra. (Italian 
summary) 92e:55017 

Monks, Kenneth G. /o-torsion bounds in the cohomology of the Steenrod algebra. 
92¢:55019 

— Nilpotence and torsion in the cohomology of the Steenrod algebra. 92m:55023 

Shank, R. James see Harris, John C., 92m:55022 

Shen, Xin Yao (with Ying, Ke Feng) Some results on unstable polynomial algebras over the 
Steenrod algebra. 92h:55016 

Ying, Ke Feng see Shen, Xin Yao; et al., 92h:55016 

Zarati, Said Derived functors of the destabilization and the Adams spectral sequence. 
92c:55020 


Items with secondary classifications in 55810 


Broto, Carlos Thom modules and mod p spherical fibrations. 92g:55018 

Campbell, H. E. A. (with Hughes, I.; Pappalardi, F.; Selick, P. S.) On the ring of invariants 
of F5,. 924:55020 

Dwyer, William G. (with Miller, H. R.; Wilkerson, Clarence W.) Homotopical uniqueness 
of classifying spaces. 92m:55013 

Henn, Hans-Werner (with Schwartz, Lionel) Indecomposable A-module summands in H*V 
which are unstable algebras. 92b:55025 

Hughes, I. see Campbell, H. E. A.; et al., 92d:55020 

Kochman, Stanley O. Nonrealizability of subalgebras of A*. 92b:55026 

Lin, Wén Hsiung An infinite family in 22° at Adams filtration seven. 92c:55013 

Miller, H.R. see Dwyer, William G.; et al., 92m:55013 

Pappalardi, F. see Campbell, H. E. A.; et al., 92d:55020 

Schwartz, Lienel see Henn, Hans-Werner, 92b:55025 

Selick, P.S. see Campbell, H. E. A.; et al., 924:55020 

Wilkerson, Clarence W. see Dwyer, William G.; et al., 92m:55013 


55S12 Dyer-Lashof operations 


Slack, Michael Maps between iterated loop spaces. 92g:55022 


Items with secondary classifications in 55S12 


Kamiyama, Yasuhiko The modulo 2 homology groups of the space of rational functions. 
92i:58031 


ALGEBRAIC TOPOLOGY 


1992 940 


Minami, Norihiko Multiplicative homology operations and transfer. 92h:55009 
Slack, Michael A classification theorem for homotopy commutative H-spaces with finitely 
generated mod 2 cohomology rings. 92k:55015 


55S15 Symmetric products, cyclic products 


Items with secondary classifications in 55S15 
Orug, Melda Yaman Cohomology of the equivariant classifying spaces. 92b:55019 


55S20 Secondary and higher cohomology operations 
Singh, Neeta Some nonembedding theorems. 92d:55022 


Items with secondary classifications in 55S20 


Slack, Michael A classification theorem for homotopy commutative H-spaces with finitely 
generated mod 2 cohomology rings. 92k:55015 


55S25 K-theory operations and generalized cohomology 
operations [see also 19D55, 19Lxx] 


Inoue, Kouichi On a multiplicative structure of BP-cohomology operation algebra. 
92b:55021 

Kambe, Tsunekazu Adams operation and y-filtration in K-theory. 92m:55024 

Vallejo, Ernesto Polynomial operations on complex K-theory. 92f:55025 


Items with secondary classifications in 55S25 
Nenashev, A. Simplicial definition of A-operations in higher K-theory. 92h:19001 


55S30 Massey products 


Items with secondary classifications in 55S30 

Fernandez, Marisa Luisa (with Gray, Alfred; Morgan, John Willard) Compact symplectic 
manifolds with free circle actions, and Massey products. 92e:57049 

Gray, Alfred see Fernandez, Marisa Luisa; et al., 92e:57049 

Morgan, John Willard see Fernandez, Marisa Luisa; et al., 92e:57049 

Yamato, Kenji Examples of non-Kahler symplectic manifolds. 92b:53044 


55S35 Obstruction theory 


Li, Bang He (with Li, Gui Song) Codimension one or two immersions and submersions of 
low-dimensional manifolds. 924:55023 

Li, Gui Song see Li, Bang He; et al., 924:55023 

Tanasi, Corrado Cohomology in the theory of defects in ordered media. (Italian summary) 
92b:55022 


Items with secondary classifications in 55S35 

Baadhio, Randy A. Heterotic superstring gauge residue trivialization via homogeneous CP* 
topology change. 92b:57035 

De Michelis, Stefano Line bundles with c,(L)? = 0. (Italian summary) 924:55019 

— Line bundles with c;(L)? = 0. Higher order obstructions. (Italian summary) 92m:55017 

— Line bundles with c;(L)? = 0. A six-dimensional example. (Italian summary) 92m:55018 

Dobretiko, R. The obstruction to the deformation of a map out of a subspace. 92g:55003 

Goerss, Paul G. André-Quillen cohomology and the Bousfield-Kan spectral sequence. 
92¢:55019 

Isham, C. J. Square root of the Euler class: nowhere-vanishing spinors and spacetime 
topology. 92¢:57047 

Kadeishvili, T. V. Realization of maps in the rational homotopy theory. (Russian and 
Georgian summaries) 92j:55018 

Ng, Tze Beng Nine-fields on manifolds. 92b:55023 

Sarkaria, K.S. A one-dimensional Whitney trick and Kuratowski’s graph planarity 
criterion. 92g:57034 


55S36 Extension and compression of mappings 
Lesh, Kathryn Extensions of maps from suspensions of finite projective spaces. 92d:55024 


55S37 Classification of mappings 


Korba, J. (with Sankaran, Parameswaran) On continuous maps between Grassmann 
manifolds. 92f:55026 

Sankaran, Parameswaran see Korba3, J., 92f:55026 

Yamaguchi, Kohhei Self-maps of £‘CP? for k > 1. 92a:55016 


Items with secondary classifications in 55S37 


Ishiguro, Kenshi Rigidity of p-completed classifying spaces of alternating groups and 
classical groups over a finite field. 92f:55021 

Trapp, Rolland A linear representation of the mapping class group # and the theory of 
winding numbers. 92k:57027 


55S40 Sectioning fiber spaces and bundles 
Ng, Tze Beng Nine-fields on manifolds. 92b:55023 


Items with secondary classifications in 55S40 


Lin, James P. (with Williams, Frank) The type of a torsion free finite loop space. 92j:55014 
Williams, Frank see Lin, James P., 92j:55014 





941 1992 


55S45 Postnikov systems, k-invariants 
Arlettaz, Dominique The Hurewicz homomorphism in algebraic K-theory. 92k:55027 


Items with secondary classifications in 55S45 

De Michelis, Stefano Line bundles with c,(L)* = 0. Higher order obstructions. (Italian 
summary) 92m:55017 

— Line bundles with c,(L)? = 0. A six-dimensional example. (Italian summary) 92m:55018 

Lin, James P. (with Williams, Frank) H Py ive H-spaces. 92b:55011 

Rutter, John W. Whitney sums (fibre-joins) in over space theory and obstruction theory for 
cohomology with local coefficients. 92d:55017 

— The group of homotopy self-equivalences of non-simply-connected spaces using 
Postnikov decompositions. 92j:55009 

Schén, Rolf Effective algebraic topology. 92h:55002 

Williams, Frank see Lin, James P., 92b:55011 





55S91 Equivariant operations and obstructions [see also 19147] 


Items with secondary classifications in 55891 


Costenoble, Steven R. (with Waner, Stefan) G-transversality revisited. 92m:57044 
Waner, Stefan see Costenoble, Steven R., 92m:57044 


55S99 None of the above, but in this section 


Luciano A phenomenon of reciprocity in the universal Steenrod algebra. 
92£:55027 


Items with secondary classifications in 55S99 
Pan, Jian Zhong Application of K-theory to the realization problem. (Chinese) 92j:19004 


55Txx Spectral sequences [see also 18G40, 55R20] 


55T10 Serre spectral sequences 


Items with secondary classifications in 55T10 

Dai, Xianzhe Adiabatic limits, nonmultiplicativity of signature, and Leray spectral 
sequence. 92f:58169 

Schon, Rolf Effective algebraic topology. 92h:55002 


55T15 Adams spectral sequences 


Davis, Donald M. (with Mahowald, Mark) v-periodicity in the unstable Adams spectral 
sequence. 92e:55018 

Goerss, Paul G. André-Quillen cohomology and the Bousfield-Kan spectral sequence. 
92e:55019 

Mahowald, Mark see Davis, Donald M., 92e:55018 


Items with secondary classifications in 55T15 

Imaoka, Mitsunori Vanishing of Im J classes in the stunted quaternionic projective spaces. 
92¢:55014 

Kochman, Stanley O. Nonrealizability of subalgebras of A*. 92b:55026 

Lesh, Kathryn Extensions of maps from suspensions of finite projective spaces. 92d:55024 

Lin, Wén Hsiung An infinite family in 27$ at Adams filtration seven. 92c:55013 

Magalhaes, Luisa An application of a spectral sequence of Adams type. (Portuguese) (see 
92g:00024) 

Stolz, Stephan Simply connected manifolds of positive scalar curvature. 92a:53061 

Zarati, Said Derived functors of the destabilization and the Adams spectral sequence. 
$2c:55020 


55120 Eilenberg-Moore spectral sequences [see also 57T35] 


Items with secondary classifications in 55T20 

Dror Farjoun, E. (with Smith, Jeffrey Henderson) A geometric interpretation of Lannes’ 
functor T. 92h:55013 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Adams’ cobar equivalence. 
92e:55007 

Halperin, Stephen see Félix, Yves; et al., 92e:55007 

Kuribayashi, Katsuhiko On the mod p cohomology of the spaces of free loops on the 
Grassmann and Stiefel manifolds. 92c:55010 

Smith, Jeffrey Henderson see Dror Farjoun, E., 92h:55013 

Thomas, Jean-Claude see Félix, Yves; et al., 92e:55007 


55T25 Generalized cohomology 


Costinescu, Cristian N. Some remarks on generalized cohomology theories and real K- 
theory. 92¢:55021 


Items with secondary classifications in 55T25 


Hara, Shin-ichiro The Hopf rings for connective Morava K-theory and connective complex 
K-theory. 92c:55005 

— see also Kono, Akira’, 9 

Kono, Akira’ (with Hara, Shin-ichiro) KO-theory of complex Grassmannians. 92g:55009 


55T99 None of the above, but in this section 


55U Applied homological algebra and category theory 


55U35 


Items with secondary classifications in 55T99 

Bendersky, Martin (with Gitler, Sam) The cohomology of certain function spaces. 
924:55005 

Cordero, Luis A. (with Fernandez, Marisa Luisa; Gray, Alfred) The Frélicher spectral 
sequence for compact nilmanifolds. 92b:53112 

Dixon, John A. Calculation of BRS cohomology with spectral sequences. 92m:81285 

Dwyer, William G. (with Wilkerson, Clarence W.) Smith theory and the functor T. 
92i:55006 

Fernandez, Marisa Luisa see Cordero, Luis A.; et al., 92b:53112 

Gitler, Sam see Bendersky, Martin, 92d:55005 

Gray, Alfred see Cordero, Luis A.; et al., 92b:53112 

Greenberg, Peter (with Sergiescu, Vlad) An acyclic extension of the braid group. 92b:57004 

Halperin, Stephen (with Vigué-Poirrier, Micheline) The homology of a free loop space. 
92e:55012 

Kriz, Igor Equivariant cohomology and lower bounds for chromatic numbers. 92m:05085 

Sergiescu, Vlad see Greenberg, Peter, 92b:57004 

Vasil’ev, V. A. Cohomology of spaces of knots. (Russian) 92i:57009 

— Homological invariants for knots: algorithms and computations. (Russian) 92i:57010 

Vigué-Poirrier, Micheline see Halperin, Stephen, 92e:55012 

Wilkerson, Clarence W. see Dwyer, William G., 92i:55006 


55Uxx Applied homological algebra and category theory 
[see also 18Gxx] 


55U05 Abstract complexes 


Dawson, Robert J. MacG. Homology of weighted simplicial complexes. (French summary) 
92:55028 
Stomitiska, Jolanta Homotopy colimits on E-I-categories. 92g:55023 


Items with secondary classifications in 55U05 

Breen, Lawrence Bitorseurs et cohomologie non abélienne. [Bitorsors and nonabelian 
cohomology] 92m:18019 

Nehaniv, Chrystopher Lev Algebraic connectivity. 92m:08001 


55U10 Semisimplicial complexes 


Items with secondary classifications in 55U10 

Brown, Ronald (with Higgins, Philip J.) The classifying space of a crossed complex. 
92b:55024 

Higgins, Philip J. see Brown, Ronald, 92b:55024 

Korkes, F. J. (with Porter, Timothy) Nilpotent crossed modules and pro-C completions. 
(French summary) 92d:18009 

Lapin, S. V. Normalization of reflexive and dihedral modules. (Russian) 92d:18010 

Nehaniv, Chrystopher Lev Algebraic connectivity. 92m:08001 

Porter, Timothy see Korkes, F. J., 92d:18009 

Smirnov, V. A.2, Homology of symmetric products. (Russian) 92¢:55022 


55U15 Chain complexes 


Anick, David J. The Adams-Hilton model for a fibration over a sphere. 92i:55017 

Huebschmann, Johannes (with Kadeishvili, T. V.) Small models for chain algebras. 
92£:55029 

Kadeishvili, T. V. see Huebschmann, Johannes, 92f:55029 

Rubio Garcia, Julio Jestis Free chain complexes and minimal complexes. (Spanish. English 
summary) (see 92b:00044) 


Items with secondary classifications in 55U15 

Baues, Hans Joachim * Combinatorial homotopy and 4-dimensional complexes. 
92h:55008 

Breen, Lawrence Bitorseurs et cohomologie non abélienne. [Bitorsors and nonabelian 
cohomology] 92m:18019 

Brown, Ronald (with Higgins, Philip J.) The classifying space of a crossed complex. 
92b:55024 

— see also Baues, Hans Joachim, 92h:55008 

Higgins, Philip J. see Brown, Ronald, 92b:55024 


55U20 Universal coefficient theorems, Bockstein operator 


Items with secondary classifications in 55U20 

Dyer, M. N. (with Leahy, J. V.; Mooney, L. J.) On the cup product for groups. 92k:20099 
Leahy, J. V. see Dyer, M. N.; et al., 92k:20099 

Mooney, L. J. see Dyer, M. N.; et al., 92k:20099 


55U25 Homology of a product, Kiinneth formula 
Smirnov, V. A.2, Homology of symmetric products. (Russian) 92¢:55022 


55U35 Abstract homotopy theory 


Brown, Ronald (with Higgins, Philip J.) The classifying space of a crossed complex. 
92b:55024 

Cabeza Laguna, Josefina (with Elvira, M. C.; Hernandez, L. J.) A cofibration category for 
proper functions. (Spanish. English summary) (see 92b:00044) 

Cordier, J.-M. (with Porter, Timothy) Fibrant diagrams, rectifications and a construction 
of Loday. 92a:55017 

Elvira, M.C. see Cabeza Laguna, Josefina; et al., (92b:00044) 





55U35 


Hernandez, L. J. see Cabeza Laguna, Josefina; et al., (92b:00044) 

Higgins, Philip J. see Brown, Ronald, 92b:55024 

Kamps, K.H. (with Porter, Timothy) Note on bridging theorems for semisimplicial sets. 
92a:55018 

Padrén, Edith (with Rodriguez-Machin, Sergio) Model-additive categories. 92g:55024 

Piacenza, Robert J. Homotopy theory of diagrams and CW-complexes over a category. 
92i:55018 

Porter, Timothy see Cordier, J.-M., 92a:55017 and Kamps, K. H., 92a:55018 

Rodriguez-Machin, Sergio see Padrén, Edith, 92g:55024 

Items with secondary classifications in 55U35 

Goerss, Paul G. On the André-Quillen cohomology of commutative F2-algebras. 92b:18012 

— André-Quillen cohomology and the Bousfield-Kan spectral sequence. 92e:55019 

Ginther, Bernd Strong shape of compact Hausdorff spaces. 92m:55012 

Hardie, K. A. (with Kamps, K. H.; Porter, Timothy) The coherent homotopy category over 
a fixed space is a category of fractions. 92i:55015 

Joyal, André (with Tierney, Myles) Strong stacks and classifying spaces. 92c:18013 

Kamps, K.H. see Hardie, K. A.; et al., 92i:55015 

Porter, Timothy see Hardie, K. A.; et al., 92i:55015 

Tierney, Myles see Joyal, André, 92c:18013 


55U99 None of the above, but in this section 


Henn, Hans-Werner (with Schwartz, Lionel) Indecomposable A-module summands in H*V 
which are unstable algebras. 92b:55025 

Pataraia, P. On Quillen’s + construction of perfect groups. 92e:55020 

Rodriguez-Machin, Sergio Categories with a natural cone. (Spanish. English summary) (see 
92b:00044) 

Schwartz, Lionel see Henn, Hans-Werner, 92b:55025 


Items with secondary classifications in 55U99 

Kapranov, M. M. see Voevodskii, V. A., 92h:05031 

Kriz, Igor Equivariant cohomology and lower bounds for chromatic numbers. 92m:05085 

Lomonaco, Luciano A phenomenon of reciprocity in the universal Steenrod algebra. 
921:55027 

Marvan, M. On the @-spectral sequence with “general” coefficients. 92e:58201 

Monks, Kenneth G. Nilpotence and torsion in the cohomology of the Steenrod algebra. 
92m:55023 

Riedtmann, Christine (with Schofield, Aidan) On a simplicial complex associated with 
tilting modules. 92a:16019 

Schofield, Aidan see Riedtmann, Christine, 92a:16019 

Voevodskii, V. A. (with Kapranov, M. M.) The free n-category generated by a cube, 
oriented matroids and higher Bruhat orders. (Russian) 92h:05031 


57-XX Manifolds and cell complexes {For complex 
manifolds, see 32C10.} 


57-01 Instructional exposition (textbooks, tutorial papers, etc.) 

Dominguez Murillo, Eladio (with Rubio Garcia, Julio Jesis) Computers in algebraic 
topology. (see 92i:00029) 

Francis, George K. * Kuwxxka c KapTHHKaMH 10 Tononoruu. (Russian) [A topological 
picturebook] 92f:57001 

(Ivanov, N. V.) see Francis, George K., 92f:57001 

(Netsvetaev, N. Yu.) see Francis, George K., 92f:57001 

Rubio Garcia, Julio Jestis see Dominguez Murillo, Eladio, (92i:00029) 


57-02 Research exposition (monographs, survey articles) 

Atiyah, Michael Francis The frontier between geometry and physics. (Bulgarian) 
92m:57001 

Daverman, Robert J. Problems about finite-dimensional manifolds. (see 92c:54001) 

Gompf, Robert E. Problems in 4-manifold topology. 

(Madzharova, Yana) see Atiyah, Michael Francis, 92m:57001 


Items with secondary classifications in 57-02 

Carlsson, Gunnar Problems on algebraic topology. (see 92c:54001) 

Fomenko, A. T. (with Fuks, D. B.) * Kypc romoronm4eckott Tononoruu. (Russian) [A 
course in homotopic topology] 92a:55001 

Fuks, D. B. see Fomenko, A. T., 92a:55001 

Griffiths, Phillip A. (with Morgan, John Willard) * PanwonanbHaa Teopus romMoTonHit H 


mudepenumanbubie opm. (Russian) [Rational homotopy theory and differential forms] 
921:55013 


Massey, William S. * A basic course in algebraic topology. 92c:55001 

Morgan, John Willard see Griffiths, Phillip A., 92f:55013 

Nyikos, Peter J. On first countable, countably compact spaces. III. The problem of 
obtaining separable noncompact examples. (see 92c:54001) 

(Pazhitnov, A. V.) see Griffiths, Phillip A., 92f:55013 


57-03 Historical (must also be assigned at least one 
classification number from Section 01) 


ALGEBRAIC TOPOLOGY 


Items with secondary classifications in 57-03 


(Antoine, Louis) see Ibisch, Horst, (92c:01054) 

Dombrowski, Peter Differentialgeometrie. [Differential geometry] 92a:01052 

Ibisch, Horst L’ceuvre mathématique de Louis Antoine et son influence. [The mathematical 
works of Louis Antoine and their influence] (see 92c:01054) 

Kharlamov, V. M. see Viro, O. Ya., 92m:01078c 

(Kowalski, Oldiich) see Smale, Stephen, 92j:01063 

(Rokhlin, V. A.) see Viro, O. Ya., 92m:01078c 

Smale, Stephen The story of the higher-dimensional Poincaré conjecture (what actually 
happened on the beaches of Rio). (Czech) 92j:01063 

Viro, O. Ya. (with Kharlamov, V. M.) V. A. Rokhlin’s work in topology. (Russian) 
92m:01078c 


57-06 Proceedings, conferences, collections, etc. 


(Jackowski, Stefan) see Algebraic topology Poznati 1989, 92£:57002 
(Oliver, Robert) see Algebraic topology Poznan 1989, 92f:57002 
(Pawatowski, K.) see Algebraic topology Poznati 1989, 92:57002 


Items listed otherwise than by author 

Algebraic topology Poznan 1989 * Algebraic topology Poznan 1989. 92:57002 

Conference: 
Algebraic Topology * Algebraic topology Poznan 1989. 92f:57002 

Lecture Notes in Mathematics * Algebraic topology Poznan 1989. 92£:57002 

Poznani * Algebraic topology Poznan 1989. 92£:57002 

Travaux de Thurston sur les surfaces * Travaux de Thurston sur les surfaces. (French) [The 
works of Thurston on surfaces] 92g:57001 

Works of Thurston on surfaces * Travaux de Thurston sur les surfaces. (French) [The works 
of Thurston on surfaces] 92g:57001 


Items with secondary classifications in 57-06 


(Fomenko, A.T.) see Topological classification of integrable systems, 92i:58003 

(Ge, Mo Lin) see Braid group, knot theory and statistical mechanics, 92i:57011 
(Lusanna, Luca) see Knots, topology and quantum field theories, 92h:81008 

(Vinberg, E. B.) see Lie groups, their discrete subgroups, and invariant theory, 92k:14001 
(Yang, Chen Ning) see Braid group, knot theory and statistical mechanics, 92i:57011 


Items listed otherwise than by author 

Braid group, knot theory and statistical mechanics * Braid group, knot theory and statistical 
mechanics. 92i:57011 

Complex analytic geometry and related h hematical physics and complex analytic 
geometry * Fukuso kaiseki kikagaku to sono shthen no kenkyO—sari butsuri to fukuso 
kaiseki kika. (Japanese) [Complex analytic geometry and related research—mathematical 
physics and complex analytic geometry] 92i:00015 

Conference: 

Differential Geometry and Topology * Conference on Differential Geometry and 
Topology. 92c:00014 

— * Giornate di Studio su Geometria Differenziale Topologia. [Conference on Differen- 
tial Geometry and Topology] 92m:00036 

Florence * Knots, topology and quantum field theories. 92h:81008 

Knots, topology and quantum field theories * Knots, topology and quantum field theories. 
92h:81008 

Lecce * Giornate di Studio su Geometria Differenziale Topologia. [Conference on 
Differential Geometry and Topology] 92m:00036 

Lie groups, their discrete subgroups, and invariant theory * Lie groups, their discrete 
subgroups, and invariant theory. 92k:14001 

Sardinia * Conference on Differential Geometry and Topology. 92c:00014 

Symposium: 

Complex Analytic Geometry and Related Research—Math tical Physics and Complex 
Analytic Geometry * Fukuso kaiseki kikagaku to sono shihen no kenky0—sari butsuri 
to fukuso kaiseki kika. (Japanese) [Complex analytic geometry and related research— 
mathematical physics and complex analytic geometry] 92i:00015 

Topological classification of integrable systems * Topological classification of integrable 
systems. 92i:58003 
Workshop: 

Current Problems in Particle Theory * Knots, topology and quantum field theories. 

92h:81008 








57Mxx Low-dimensional topology 


57M05 Fundamental group, presentations, free differential 
calculus 


Bonahon, Francis Geodesic currents on negatively curved groups. 92g:57002 

Ghys, Etienne (with de la Harpe, Pierre) La propriété de Markov pour les groupes 
hyperboliques. [The Markov property for hyperbolic groups] (see 92:53050) 

de la Harpe, Pierre see Ghys, Etienne, (92f:53050) 

Kaneto, Takeshi Surgery on 2-symmetric Heegaard diagrams. 92j:57001 

Lustig, Martin (with Moriah, Yoav) Nielsen equivalence in Fuchsian groups and Seifert 
fibered spaces. 92e:57001 

Moriah, Yoav see Lustig, Martin, 92e:57001 

Salem, Eliane Premiéres propriétés des groupes hyperboliques. [First properties of 
hyperbolic groups] (see 92:53050) 

Soma, Teruhiko 3-manifold groups with the finitely generated intersection property. 
92h:57001 

Strebel, Ralph Appendix. Small cancellation groups. (see 92f:53050) 


Items with secondary classifications in 57M05 
Akimenkov, A. M. Solution of the reducibility problem for 4-string braids. 92h:20062 





943 1992 


Anderson, James W. On the finitely generated intersection property for Kleinian groups. 
92i:30042 

Bogley, William A. Local collapses for diagrammatic reducibility. 92j:57002 

Brazil, Marcus Monoid growth functions for braid groups. 92h:20063 

Eda, Katsuya A locally simply connected space and fundamental groups of one point unions 
of cones. 92k:55020 

Epstein, D. B. A. (with Thurston, W. P.) Combable groups. 92k:20062 

Gabai, David Convergence groups are Fuchsian groups. 92h:57056 

Ge, Mo Lin see Li, You Quan; et al., 92m:17026 

Gersten, S.M. (with Short, H. B.) Rational subgroups of biautomatic groups. 92g:20092 

Ghys, Etienne (with Haefliger, André) Groupes de torsion. [Torsion groups] (see 
92f:53050) 

— see also Hyperbolic groups in the theory of Mikhael Gromov, 92£:53050 

Haefliger, André Orbi-espaces. [Orbispaces] (see 92:53050) 

— see also Ghys, Etienne, (92f:53050) 

Harikae, Toshio Three-fold irregular branched coverings of some spatial graphs. 
92m:57003 

(de la Harpe, Pierre) see Hyperbolic groups in the theory of Mikhael Gromov, 92f:53050 

Huck, Giinther Embeddings of acyclic 2-complexes in S* with contractible complement. 
92a:57002 

Joyal, André (with Street, Ross) The geometry of tensor calculus. I. 92d:18011 

Khramtsov, D. G. On the fundamental group of a 3-manifold. (Russian) 92g:20049 

Kim, Ki Hang (with Roush, F.W.) On the automorphism groups of subshifts. 92j:28009 

Latch, Dana May The connection between the fundamental groupoid and a unification 
algorithm for syntactil algebras (extended abstract). (French summary) 

Lei, Feng Chun Some properties of n-relator 3-manifolds. 92e:57028 

Li, You Quan (with Ge, Mo Lin; Xue, Kang; Wang, Lu Yu) Weight conservation condition 
and structure of the braid group representation. 92m:17026 

Lien, Magnhild (with Ratcliffe, John G.) On the uniqueness of HNN decompositions of a 
group. 92k:20043 

Long, D. D. (with Niblo, G. A.) Subgroup separability and 3-manifold groups. 92g:20047 

Morita, Shigeyuki On the structure of the Torelli group and the Casson invariant. 
92i:57016 

Niblo, G. A. Separability properties of free groups and surface groups. 92m:20019 

— see also Long, D. D., 92g:20047 

Qiu, Rui Feng Structure of a class of three-dimensional manifolds with boundaries. 
(Chinese. English summary) 92e:57030 

Ratcliffe, John G. see Lien, Magnhild, 92k:20043 

Roush, F. W. see Kim, Ki Hang, 92j:28009 

Short, H. B. see Gersten, S. M., 92g:20092 

Stein, Melanie Groups of piecewise linear homeomorphisms. 92k:20075 

Street, Ross see Joyal, André, 92d:18011 

Thurston, W. P. see Epstein, D. B. A., 92k:20062 

Troyanov, Marc Espaces a courbure négative et groupes hyperboliques. [Negatively curved 
spaces and hyperbolic groups] (see 92£:53050) 

Wang, Lu Yu see Li, You Quan; et al., 92m:17026 

Xue, Kang see Li, You Quan; et al., 92m:17026 

Zhang, Xingru Cyclic surgery on satellite knots. 92f:57018 


Items listed otherwise than by author 


Bern * Sur les groupes hyperboliques d’aprés Mikhael Gromov. (French) [Hyperbolic 
groups in the theory of Mikhael Gromov] 92f:53050 

Hyperbolic groups in the theory of Mikhael Gromov * Sur les groupes hyperboliques d’aprés 
Mikhael Gromov. (French) [Hyperbolic groups in the theory of Mikhael Gromov] 
92£:53050 

Progress in Mathematics * Sur les groupes hyperboliques d’aprés Mikhael Gromov. 
(French) [Hyperbolic groups in the theory of Mikhael Gromov] 92f:53050 

Seminar: 
Hyperbolic Groups * Sur les groupes hyperboliques d’aprés Mikhael Gromov. (French) 

[Hyperbolic groups in the theory of Mikhael Gromov] 92f:53050 
Sur les groupes hyperboliques d’apres Mikhael Gromov * Sur les groupes hyperboliques 


d’aprés Mikhael Gromov. (French) [Hyperbolic groups in the theory of Mikhael Gromov] 
92£:53050 


57M07 Topological methods in group theory 


Basarab, Serban A. On a problem raised by Alperin and Bass. 92b:57001 

Bieri, R. (with Hillman, Jonathan A.) Subnormal subgroups of 3-dimensional Poincaré 
duality groups. 92e:57002 

Chiswell, I. M. Nonstandard analysis and the Morgan-Shalen compactification. 92h:57002 

Cohen, M. M. (with Lustig, Martin; Steiner, M.) R-tree actions are not determined by the 
translation lengths of finitely many elements. 92b:57002 

Coornaert, Michel (with Delzant, Thomas; Papadopoulos, Athanase D.) * Géométrie et 
théorie des groupes. (French) [Geometry and theory of groups] 92f:57003 

Culler, Mare (with Vogtmann, Karen) The boundary of outer space in rank two. 92i:57001 

Delzant, Thomas see Coornaert, Michel; et al., 92f:57003 

Fine, Benjamin Subgroup presentations without coset representatives. 92a:57001 

Ghys, Etienne Les groupes hyperboliques. [Hyperbolic groups] 92f:57004 

Gillet, Henri (with Shalen, Peter B.) Dendrology of groups in low Q-ranks. 92b:57003 

— (with Shalen, Peter B.) Cohomological dimension of groups acting on R-trees. 92k:57001 

Greenberg, Peter (with Sergiescu, Vlad) An acyclic extension of the braid group. 92b:57004 

Hillman, Jonathan A. see Bieri, R., 92e:57002 

Hog-Angeloni, Cynthia A short topological proof of Cohn’s theorem. 92¢:57003 

— On the homotopy type of 2-complexes with a free product of cyclic groups as fundamental 
group. 92e:57004 

Jiang, Ren Fang Branch points and free actions on R-trees. 92d:57001 

Kropholler, P. H. (with Talelli, Olympia) On a property of fundamental groups of graphs of 
finite groups. 92h:57003 

Lustig, Martin see Cohen, M. M.; et al., 92b:57002 


MANIFOLDS AND CELL COMPLEXES 


57M07 


McCullough, Darryl Virtually geometrically finite mapping class groups of 3-manifolds. 
92c:57001 

Mihalik, Michael L. (with Tschantz, Steven T.) Semistability of amalgamated products, 
HNN-extensions, and all one-relator groups. 92k:57002b 

— (with Tschantz, Steven T.) Semistability of amalgamated products and HNN-extensions. 
92k:57002a 

Noskov, G. A. Bounded cohomology of discrete groups with coefficients. (Russian) 
92b:57005 

Papadopoulos, Athanase D. see Coornaert, Michel; et al., 92£:57003 

Parry, Walter Axioms for translation length functions. 92f:57005 

Paulin, Frédéric Outer automorphisms of hyperbolic groups and small actions on R-trees. 
92g:57003 

Sergiescu, Vlad see Greenberg, Peter, 92b:57004 

Shalen, Peter B. see Gillet, Henri, 92b:57003 and 92k:57001 

Soma, Teruhiko Intersection of finitely generated surface groups. II. 92f:57006 

Steiner, M. see Cohen, M. M.,; et al., 92b:57002 

Talelli, Olympia see Kropholler, P. H., 92h:57003 

Tschantz, Steven T. see Mihalik, Michael L., 92k:57002a and 92k:57002b 

Vogtmann, Karen Local structure of some Out(F,,)-complexes. 92d:57002 

— see also Culler, Marc, 92i:57001 


Items with secondary classifications in 57M07 

Adem, Alejandro (with Carlson, Jon F.) Discrete groups with large exp in coh 
ogy. 92b:20060 

Anderson, James W. On the finitely generated intersection property for Kleinian groups. 
92i:30042 

Assadi, Amir H. Permutation complexes and modular representation theory. 92h:20080 

Basarab, Serban A. On a problem raised by Alperin and Bass. I. Group actions on 
groupoids. 92h:20043 

Bavard, Christophe Longueur stable des commutateurs. [Stable length of commutators] 
92g:20051 

Bestvina, Mladen (with Feighn, Mark) A counterexample to generalized accessibility. 
92g:20038 

— (with Feighn, Mark) Bounding the complexity of simplicial group actions on trees. 
92¢:20044 

— (with Handel, Michael) Train tracks and automorphisms of free groups. 92m:20017 

Bonahon, Francis Geodesic currents on negatively curved groups. 92g:57002 

Burroni, Albert Higher-dimensional word problem. (see 92g:68005) 

Cai, Jin-Yi Computations over infinite groups. (see 92g:68007) 

Carlson, Jon F. see Adem, Alejandro, 92b:20060 

Charney, Ruth (with Davis, Michael Walter) Reciprocity of growth functions of Coxeter 
groups. 92h:20067 

Chiswell, I. M. Pregroups and Lyndon length functions. 924:20056 

Couture, Michel Josaphat (with Lee, Hoong Chien; Schmeing, N.C.) A new family of N- 
state representations of the braid group. (see 92m:81004) 

Davis, Michael Walter see Charney, Ruth, 92h:20067 

Droms, Carl (with Lewin, Jacques; Servatius, Herman) Tree groups and the 4-string pure 
braid group. 92b:20040 

Duncan, Andrew J. (with Howie, James) The nonorientable genus problem for one-relator 
products. 92k:20061 

— (with Howie, James) The genus problem for one-relator products of locally indicable 
groups. 92i:20040 

Dunwoody, M. J. Groups acting on R-trees. 92i:20028a 

— Erratum: “Groups acting on R-trees”. 92i:20028b 

Epstein, D. B. A. (with Thurston, W. P.) Combable groups. 92k:20062 

Feighn, Mark see Bestvina, Mladen, 92c:20044 and 92g:20038 

Gersten, S. M. (with Short, H. B.) Small cancellation theory and automatic groups. 
92¢:20058 

— (with Short, H. B.) Small cancellation theory and automatic groups. I. 92j:20030 

Goldstein, Richard Z. Bounded cancellation of automorphisms of free products. 92g:20033 

Grigorchuk, R. I. (with Kurchanov, P. F.) Some problems in group theory that are 
connected with geometry. (Russian) 92e:20002 

Handel, Michael see Bestvina, Mladen, 92m:20017 

Heil, Wolfgang Products of commutators and squares in free groups. 92m:20018 

Howie, James The quotient of a free product of groups by a single high-powered relator. III. 
The word problem. 924:20044 

— see also Duncan, Andrew J., 92i:20040 and 92k:20061 

Huck, Ginther Embeddings of acyclic 2-complexes in S* with contractible complement. 
92a:57002 

Huebschmann, Johannes Cohomology of finitely generated abelian groups. 92d:20076 

Ihara, Yasutaka Automorphisms of pure sphere braid groups and Galois representations. 
92k:20077 

Ivanov, N. V. Permutation representations of braid groups of surfaces. (Russian) 
92h:57024 

— Residual finiteness of modular Teichmiiller groups. (Russian) 92i:20031 

Jiang, Ren Fang Free product with amalgamation and free actions on R-trees. 92g:20039 

Ko, Ki Hyoung (with Smolinsky, Lawrence) The framed braid group and 3-manifolds. 
92i:57015 

Kropholler, P. H. (with Moselle, B.) A family of crystallographic groups with 2-torsion in 
Ko of the rational group algebra. 92f:20049 

Kurchanov, P. F. see Grigorchuk, R. I., 92e:20002 

Lee, Hoong Chien see Couture, Michel Josaphat; et al., (92m:81004) 

Lewin, Jacques see Droms, Carl; et al., 92b:20040 

Lien, Magnhild (with Ratcliffe, John G.) On the uniqueness of HNN decompositions of a 
group. 92k:20043 

Lastig, Martin On the rank, the deficiency and the homological dimension of groups: the 
computation of a lower bound via Fox ideals. 92c:20060 

Margolis, Stuart W. (with Meakin, J.C.) Graph immersions and inverse monoids. (see 
92h:20004) 

Meakin, J.C. see Margolis, Stuart W., (92h:20004) 








57M07 


Moody, John Atwell The Burau representation of the braid group B, is unfaithful for large 
n. 92b:20041 

Morgan, John Willard A-trees and their applications. 92k:20046 

— (with Shalen, Peter B.) Free actions of surface groups on R-trees. 92¢:20016 

— A-trees and their applications. 92e:20017 

Moselle, B. see Kropholler, P. H., 92f:20049 

Olshanskii, A. Yu. Periodic quotient groups of hyperbolic groups. (Russian) 92d:20050 

Paterson, Michael S. (with Razborov, A. A.) The set of minimal braids is co-NP-complete. 
92h:68041 

Pays, Isabelle (with Valette, Alain) Sous-groupes libres dans les groupes d’automorphismes 
d’arbres. [Free subgroups in the automorphism groups of trees] 92f:20028 

Ratcliffe, John G. see Lien, Magnhild, 92k:20043 

Razborov, A. A. see Paterson, Michael S., 92h:68041 

Rimlinger, Frank The structure of Promislow’s continuous free product. 92d:20034 

Schaufele, Christopher (with Zumoff, Nancy) +-groups, graphs, and bases. 92a:20025 

Schmeing, N.C. see Couture, Michel Josaphat,; et al., (92m:81004) 

Servatius, Herman see Droms, Carl; et al., 92b:20040 

Shalen, Peter B. see Morgan, John Willard, 92e:20016 

Short, H. B. see Gersten, S. M., 92c:20058 and 92j:20030 

Smolinsky, Lawrence see Ko, Ki Hyoung, 92i:57015 

Stallings, John R. Foldings of G-trees. 92g:20040 

Thurston, W. P. see Epstein, D. B. A., 92k:20062 

Valette, Alain see Pays, Isabelle, 92f:20028 

Webb, P. J. A split exact sequence of Mackey functors. 92c:20095 

Zamoff, Nancy see Schaufele, Christopher, 92a:20025 


57M10 Covering spaces 


Baker, Mark D. On coverings of figure eight knot surgeries. 92g:57004 

Haefliger, André Orbi-espaces. [Orbispaces] (see 92£:53050) 

Soma, Teruhiko Virtual fibre groups in 3-manifold groups. 92m:57002 

Tucker, Thomas W. Some topological graph theory for topologists: a sampler of covering 
space constructions. 92i:57002 


Items with secondary classifications in 57M10 

Frohman, Charles The topological uniqueness of triply periodic minimal surfaces in R?. 
92e:53008 

Gutiérrez, Mauricio A. (with Latiolais, M. P.) Partial homotopy type of finite two- 
complexes. 92h:55007 

Kulkarni, Ravi S. A finiteness theorem for planar discontinuous groups. 92a:57044 

Latiolais, M. P. see Gutiérrez, Mauricio A., 92h:55007 

Lyzzaik, Abdallah (with Stephenson, Kenneth) The structure of open continuous mappings 
having two valences. 92a:30040 

Riley, Robert Growth of order of homology of cyclic branched covers of knots. 92g:57017 

Soma, Teruhiko Intersection of finitely generated surface groups. II. 92f:57006 

— Virtual fibers in hyperbolic 3-manifolds. 92m:57023 

Stephenson, Kenneth see Lyzzaik, Abdallah, 92a:30040 


57M12 Special coverings, e.g. branched 


Harikae, Toshio Three-fold irregular branched coverings of some spatial graphs. 
92m:57003 

Hempel, John Branched covers over strongly amphicheiral links. 92b:57006 

Kinoshita, Shin’ichi A note on the homology group of the cyclic branched covering of a link. 
924:57007 

Matsumoto, Yukio (with Montesinos, José Maria) A proof of Thurston’s uniformization 
theorem of geometric orbifolds. 92g:57005 

Montesinos, José Maria see Matsumoto, Yukio, 92g:57005 

Negami, Seiya Branched coverings of PL involutions on 3-manifolds. 92:57008 


Items with secondary classifications in 57M12 

Kitakubo, Shigeru Planar branched coverings of graphs. 92d:05055 

Riley, Robert Growth of order of homology of cyclic branched covers of knots. 92g:57017 

Takeuchi, Yoshihiro Waldhausen’s classification theorem for finitely uniformizable 3- 
orbifolds. 92c:57009 

Yamasaki, Masayuki Maps between orbifolds. 92i:57018a 

— Errata to: “Maps between orbifolds”. 92i:57018b 


57M15 Relations with graph theory [see also 05Cxx] 

Bandieri, Paola A note on the genus of 3-manifolds with boundary. (Italian summary) 
92£:57009 

Costa, Antonio F. On manifolds admitting regular combinatorial maps. 92e:57005 

— On the regularity conditions for coloured graphs. (see 92¢:20002) 

Ferri, Massimo (with Lins, Séstenes) Topological aspects of edge fusions in 4-graphs. 
92b:57007 

Gagliardi, Carlo Surface maps and n-dimensional manifolds. 92e:57006 

Gradolato, Monique (with Pisanski, Tomaz) Combinatorial description of pseudosurfaces. 
(Italian summary) 92m:57004 

Kinoshita, Shin’ichi On spatial bipartite K,,,,’s and their constituent K2,’s. 92h:57004 

Lins, Séstenes see Ferri, Massimo, 92b:57007 

Pisanski, Tomaz see Gradolato, Monique, 92m:57004 

Prisner, Erich Homology of the line graph and of related graph-valued functions. 92c:57002 


Items with secondary classifications in 57M15 


Anshel, Iris Lee On two-relator groups. 92c:20055 
Bestvina, Mladen (with Handel, Michael) Train tracks and automorphisms of free groups. 
92m:20017 


Bogley, William A. Local collapses for diagrammatic reducibility. 92j:57002 


MANIFOLDS AND CELL COMPLEXES 


1992 944 


Cannon, J. W. (with Cooper, Daryl) A characterization of cocompact hyperbolic and finite- 
volume hyperbolic groups in dimension three. 92f:22017 

Casali, Maria Rita (with Grasselli, Luigi) Wave moves on crystallizations. 92h:57031 

Cooper, Daryl see Cannon, J. W., 92f:22017 

Dolbilin, N. P. (with Shtan’‘ko, M. A.; Shtogrin, M. I.) Combinatorial problems in the two- 
dimensional Ising model. (Russian) 92i:05083 

Edelsbrunner, Herbert An acyclicity theorem for cell complexes in d dimension. 924:52034 

Gabai, David 1-bridge braids in solid tori. 92b:57011 

Grasselli, Luigi see Casali, Maria Rita, 92h:57031 

Handel, Michael see Bestvina, Mladen, 92m:20017 

Harborth, Heiko (with Kemnitz, Arnfried) Integral representations of graphs. 92g:05076 

Heath, Jo (with Hilton, Anthony J. W.) At most k-to-1 continuous mappings between 
graphs. 92i:05173 

Hilton, Anthony J. W. see Heath, Jo, 92i:05173 

Jin, Gyo Taek (with Rolfsen, Dale) Some remarks on rotors in link theory. 92k:57010 

Kemnitz, Arnfried see Harborth, Heiko, 92g:05076 

Kinoshita, Shin’ichi On @,,-curves in R? and their constituent knots. 92h:57010 

Lipson, Andrew S. Link signature, Goeritz matrices and polynomial invariants. 92a:57008 

Morimoto, Kanji (with Sakuma, Makoto) On unknotting tunnels for knots. 92e:57015 

Murasugi, Kunio Invariants of graphs and their applications to knot theory. 92m:57015 

Oversteegen, Lex G. Factorizations of mappings through arcs. 92i:54036 

Rolfsen, Dale PL link isotopy, essential knotting and quotients of polynomials. 92k:57011 

— see also Jin, Gyo Taek, 92k:57010 

Sakuma, Makoto see Morimoto, Kanji, 92e:57015 

Shtan’‘ko, M. A. see Dolbilin, N. P.; et al., 92i:05083 

Shtogrin, M. I. see Dolbilin, N. P.; et al., 92i:05083 

Simon, Jonathan K. (with Wolcott, Keith) Minimally knotted graphs in S>. 92a:57015 

Tucker, Thomas W. Some topological graph theory for topologists: a sampler of covering 
space constructions. 92i:57002 

Vince, Andrew Recognizing the 3-sphere. 92j:57006 

Wolcott, Keith see Simon, Jonathan K., 92a:57015 

Yoshinaga, Shinichi An invariant of spatial graphs associated with U,(sl(2,C)). 92m:57018 


57M20 Two-dimensional complexes 


Barnette, David W. Polyhedral embeddings in the projective plane. 92f:57010 

Bogley, William A. Local collapses for diagrammatic reducibility. 92j:57002 

— An embedding for 22 of a subcomplex of a finite contractible two-complex. 92k:57003 

Haglund, Frédéric Les polyédres de Gromov. (English summary) [Gromov’s polyhedra] 
92m:57005 

Hayakawa, Eijirou On some branched surfaces which admit expanding immersions. II. 
92h:57005 

Huck, Giinther Embeddings of acyclic 2-complexes in S* with contractible complement. 
92a:57002 

Ikeda, Hiroshi! (with Yamashita, Masakatsu; Yokoyama, Kazuo) Deformations of DS- 
diagrams. 92g:57006 

— The diversion of DS-diagrams. 92g:57007 

Rosebrock, Stephan A reduced spherical diagram into a ribbon-disk complement and 
related examples. 92h:57006 

Wolf, Alan Royce Inherited asphericity, links and identities among relations. 92¢:57003 

Yamashita, Masakatsu see Ikeda, Hiroshi’; et al., 92g:57006 

Yokoyama, Kazuo On DS-diagrams of lens spaces. 92g:57008 

— see also Ikeda, Hiroshi’; et al., 92g:57006 


Items with secondary classifications in 57M20 


Bogley, William A. An identity theorem for multi-relator groups. 92c:20056 

Hillman, Jonathan A. Elementary amenable groups and 4-manifolds with Euler characteris- 
tic 0. 92g:20057 

Hog-Angeloni, Cynthia A short topological proof of Cohn’s theorem. 92e:57003 

— On the homotopy type of 2-complexes with a free product of cyclic groups as fundamental 
group. 92e:57004 

Lastig, Martin Nielsen equivalence and simple-homotopy type. 92a:57025 

Tsukui, Yasuyuki On handle free 3-manifolds. 92h:57029 


57M25 Knots and links in S? {For higher dimensions, see 
57Q45.} 


Abdellatif, R. A. see Ahmed, Elsayed Mohamed; et al., 92d:57003 

Ahmed, Elsayed Mohamed (with El-Rifai, E. A.; Abdellatif, R. A.) Relation between strings 
and ribbon knots. 92d:57003 

Akutsu, Yasuhiro (with Deguchi, Tetsuo; Wadati, Miki) The Yang-Baxter relation: a new 
tool for knot theory. (see 92i:57011) 

— see also Wadati, Miki; et al., 92£:57016 

Alaniya, L. A. Manifolds of Alexander type. (Russian) 924:57004 

Al-Rubaee, Faiz Polynomial invariants of knots in lens spaces. 92k:57004 

Atiyah, Michael Francis * The geometry and physics of knots. 92b:57008 

— The Jones-Witten invariants of knots. 92k:57005 

Berge, John The knots in D? x S' which have nontrivial Dehn surgeries that yield D? x S!. 
92d:57005 

Birman, Joan S. (with Menasco, William W.) Studying links via closed braids. IV. 
Composite links and split links. 92g:57010a 

— (with Menasco, William W.) Studying links via closed braids. II. On a theorem of 
Bennequin. 92g:57009 

— (with Menasco, William W.) Studying links via closed braids. V. The unlink. 92g:57010b 

Birmingham, Danny (with Sen, Siddhartha!) Generalized skein relations from Chern- 
Simons field theory. 92h:57007 

Boyer, Steven (with Lines, Daniel) Conway potential functions for links in Q-homology 3- 
spheres. 92m:57006 

Burde, Gerhard SU(2)-representation spaces for two-bridge knot groups. 92c:57004 

Carter, J. Scott Extending immersions of curves to properly immersed surfaces. 92k:57006 





945 1992 


Cho, B. H. see Kim, T. W.; et al., 92b:57015 

Cochran, Tim D. (with Levine, Jerome P.) Homology boundary links and the Andrews- 
Curtis conjecture. 92f:57011 

— k-cobordism for links in $3. 92a:57003 

Cooper, Daryl (with Long, D. D.) Representing knot groups into SL(2,C). 92m:57007 

Cromwell, P. R. Some infinite families of satellite knots with given Alexander polynomial. 
92k:57007 

— Lonely knots and tangles: identifying knots with no companions. 92m:57008 

Davis, James Frederic (with Livingston, Charles) Periodic knots, Smith theory, and 
Murasugi’s congruence. 92f:57012 

— (with Livingston, Charles) Alexander polynomials of periodic knots. 92k:57008 

Deguchi, Tetsuo see Wadati, Miki; et al., 92f:57016; 92k:57017 and Akutsu, Yasuhiro; et al., 
(92i:57011) 

Doll, Helmut (with Hoste, Jim) A tabulation of oriented links. 92b:57009 

Michel (with Mathieu, Yves) Noeuds qui ne sont pas déterminés par leur 

complément dans les 3-variétés 4 bord. (English summary) [Knots not determined by 
their complements in 3-manifolds with boundary] 92i:57003 

El-Rifai, E. A. see Ahmed, Elsayed Mohamed; et al., 92d:57003 


Erbland, John (with Guterriez, Mauricio) Geometric presentations of classical knot groups. 


92a:57004 

Eudave-Muiioz, Mario Band sums of links which yield composite links. The cabling 
conjecture for strongly invertible knots. 92m:57009 

Ewing, Bruce (with Millett, Kenneth C.) A load balanced algorithm for the calculation of 
the polynomial knot and link invariants. 92k:57009 

Fiedler, Thomas On the degree of the Jones polynomial. 92c:57005 

Fukuhara, Shinji (with Matsumoto, Yukio; Saeki, Osamu) An estimate for the unknotting 
numbers of torus knots. 92b:57010 

Gabai, David 1-bridge braids in solid tori. 92b:57011 

Ge, Mo Lin (with Wang, Lu Yu; Xue, Kang; Wu, Yong Shi!) Akutzu-Wadati link 
polynomials from Feynman-Kauffman diagrams. (see 92i:57011) 

— see also Li, You Quan, 92h:57012 and Braid group, knot theory and statistical mechanics, 
92i:57011 

Gordon, C. McA. Combinatorial methods in knot theory. 92e:57007 

Guadagnini, E. (with Martellini, Maurizio; Mintchev, M.) Link invariants from Chern- 
Simons theory. 92m:57010 

— The link polynomials of the Chern-Simons theory. 92b:57012 

Guterriez, Mauricio see Erbland, John, 92a:57004 

Hara, Masao Symmetry of 64-curves. 92¢:57006 

— (with Yamamoto, Makoto) Some links with nonadequate minimal-crossing diagrams. 
92m:57011 

Harikae, Toshio On rational and pseudo-rational 9-curves in the 3-sphere. 92b:57013 

Hennings, M. A. Hopf algebras and regular isotopy invariants for link diagrams. 92j:57003 

Hitt, L. Richard (with Silver, Daniel S.) Ribbon knot families via Stallings’ twists. 
92¢:57007 

Hoste, Jim see Doll, Helmut, 92b:57009 

Jaeger, Francois A combinatorial model for the Homfly polynomial. (French summary) 
92e:57008a 

— Erratum: “A combinatorial model for the Homfly polynomial”. 92e:57008b 

Jin, Gyo Taek (with Rolfsen, Dale) Some remarks on rotors in link theory. 92k:57010 

— The Cochran sequences of semi-boundary links. 92:57013 

Jones, V. F.R. Knots, braids and statistical mechanics. 92d:57006 

Jonish, D. (with Millett, Kenneth C.) Isotopy invariants of graphs. 92a:57005 

Kaiser, Uwe Bands, tangles and linear skein theory. 92e:57009 

— Link homotopy in R? and S?. 92h:57008 

— Strong band sum and dichromatic invariants. 92k:57012 

Osamu Doubled knots with infinitely many incompressible spanning surfaces. 

92g:57011 

Kanenobu, Taizo Kauffman polynomials for 2-bridge knots and links. 92k:57013 

Kauffman, Louis H. Polynomial invariants in knot theory. (see 92i:57011) 

— Knots, abstract tensors and the Yang-Baxter equation. 92k:57014 

— From knots to quantum groups (and back). 92h:57009 

— Statistical mechanics and the Jones polynomial [MR 89j:57002]. (see 92m:81003) 

— Problems in knot theory. (see 92c:54001) 

— An integral heuristic. 92a:57006 

— From knots to quantum groups and back. 92b:57014 

— (with Vogel, Pierre) Link polynomials and a graphical calculus. 92m:57012 

Kearton, Cherry Knots, groups, and spinning. 92a:57007 

Kim, T. W. (with Cho, B. H.; Park, S. U.) Chern-Simons theories on SO(N) and Sp(2) 
and link polynomials. 92b:57015 

King, Christopher A relationship between the Jones and Kauffman polynomials. 92e:57010 

Kinoshita, Shin’ichi On 6,-curves in R? and their constituent knots. 92h:57010 

Kirby, Robion (with Melvin, Paul M.) The 3-manifold invariants of Witten and 
Reshetikhin-Turaev for sl(2,C). 92e:57011 

Ko, Ki Hyoung (with Smolinsky, Lawrence) A combinatorial matrix in 3-manifold theory. 
92d:57008 

Kobayashi, Kazuaki Coded graph of oriented links and Homfly polynomials. 92g:57012 

Kohn, Peter Two-bridge links with unlinking number one. 92c:57008 

Koschorke, Ulrich Semicontractible link maps and their suspensions. 92k:57015 

Lamaugarny, Hélene Spécialisations communes entre le polynéme de Kauffman et le 
polynéme de Jones-Conway. (English summary) [Common specializations of the 
Kauffman and Jones-Conway polynomials} 92h:57011 

Lawrence, R. J. A universal link invariant using quantum groups. 92e:57012 

— A universal link invariant. 92e:57013 

Le Dimet, J.-Y. Neeuds, tresses, entrelacs et le polynéme de Jones. [Knots, braids, links and 
the Jones polynomial] (see 92h:00018) 

Levine, Jerome P. see Cochran, Tim D., 92f:57011 

Li, You Quan (with Ge, Mo Lin) Link polynomials related to the new braid group 
representations. 92h:57012 

Lickorish, W. B. R. Three-manifolds and the Temperley-Lieb algebra. 92e:57014 

— Invariants for 3-manifolds from the combinatorics of the Jones polynomial. 92d:57007 


57M _ Low-dimensional topology 


57M25 


Lindstrém, Bernt (with Zetterstrém, Hans-Olov) Borromean circles are impossible. 
92b:57016 

Lines, Daniel see Boyer, Steven, 92m:57006 

Lipson, Andrew S. Link signature, Goeritz matrices and polynomial invariants. 92a:57008 

— Some more states models for link invariants. 92i:57004 

Livingston, Charles see Davis, James Frederic, 92f:57012 and 92k:57008 

Long, D. D. see Cooper, Daryl, 92m:57007 

La, Ning A simple proof of the fundamental theorem of Kirby calculus on links. 92g:57013 

Martellini, Maurizio see Guadagnini, E.; et al., 92m:57010 

Mathieu, Yves see Domergue, Michel, 92i:57003 

Matsumoto, Yukio see Fukuhara, Shinji; et al., 92b:57010 

Melvin, Paul M. (with Tufillaro, N. B.) Templates and framed braids. 92m:57013 

— see also Kirby, Robion, 92e:57011 

Menasco, William W. (with Thistlethwaite, Morwen B.) The Tait flyping conjecture. 
92b:57017 

— (with Thistlethwaite, Morwen B.) A geometric proof that alternating knots are nontrivial. 
92h:57013 

— see also Birman, Joan S., 92g:57009; 92g:57010a and 92g:57010b 

Millett, Kenneth C. see Jonish, D., 92a:57005 and Ewing, Bruce, 92k:57009 

Mintchev, M. see Guadagnini, E.; et al., 92m:57010 

Mitchell, W. J. R. (with Przytycki, Jézef H.; Repovs, Dugan) On spines of knot spaces. 
(Russian summary) 92f:57014 

Miyazawa, Yasuyuki Symmetry of dichromatic links. 92g:57014 

Moriah, Yoav A note on satellites and tunnel number. 92m:57014 

Morimoto, Kanji (with Sakuma, Makoto) On unknotting tunnels for knots. 92e:57015 

Morton, H.R. Trefoil knots without tritangent planes. 92e:57016 

Murasugi, Kunio Invariants of graphs and their applications to knot theory. 92m:57015 

Nakagawa, Yoko The Alexander polynomial of links in solid tori. 92i:57005 

Nakanishi, Yasutaka On ribbon knots. II. 92b:57018 

— Replacements in the Conway third identity. 92g:57015 

Negami, Seiya No-wave projections of 3-bridge links. 92¢:57017 

— Ramsey theorems for knots, links and spatial graphs. 92h:57014 

Ochiai, Mitsuyuki Nontrivial projections of the trivial knot. 92g:57016 

Ohyama, Yoshiyuki A new numerical invariant of knots induced from their regular 
diagrams. 92a:57009 

Park, S. U. see Kim, T. W.; et al., 92b:57015 

Przytycki, Jézef H. Positive knots have negative signature. (Russian summary) 92a:57010 

— see also Mitchell, W. J. R.; et al., 92£:57014 

Reid, Alan W. Arithmeticity of knot complements. 92a:57011 

Repovs, Dusan see Mitchell, W. J. R.; et al., 92£:57014 

Reshetikhin, N. Yu. Invariants of links and 3-manifolds related to quantum groups. (see 
92m:00054) 

Riley, Robert Growth of order of homology of cyclic branched covers of knots. 92g:57017 

Rolfsen, Dale PL link isotopy, essential knotting and quotients of polynomials. 92k:57011 

— see also Jin, Gyo Taek, 92k:57010 

Rong, Yong Wu The Kauffman polynomial and the two-fold cover of a link. 92g:57018 

Saeki, Osamu see Fukuhara, Shinji; et al., 92b:57010 

Sakuma, Makoto The geometries of spherical Montesinos links. 92e:57018 

— A note on Wada’s group invariants of links. 92i:57006 

— see also Morimoto, Kanji, 92e:57015 

Scharlemann, Martin G. Handlebody complements in the 3-sphere: a remark on a theorem 
of Fox. 92j:57004 

Sen, Siddhartha’ see Birmingham, Danny, 92h:57007 

Shastri, Anant R. Polynomial representations of knots. 92k:57016 

Shibuya, Tetsuo Genus of links in solid tori. 92a:57012 

— On links in solid tori strongly related to boundary links. 92a:57013 

— Self {-unknotting operations of links. 92a:57014 

— Two self-#-equivalences of links in solid tori. 92e:57019 

Shinohara, Yaichi On the signature of pretzel links. 92e:57020 

Silver, Daniel S. A-moves on links and Jones polynomial evaluations. 92f:57015 

— see also Hitt, L. Richard, 92c:57007 

Simon, Jonathan K. (with Wolcott, Keith) Minimally knotted graphs in S°. 92a:57015 

Skora, Richard K. Knot and link projections in 3-manifolds. 92e:57021 

Smolinsky, Lawrence see Ko, Ki Hyoung, 92d:57008 

Soteros, C. E. (with Sumners, D. W.; Whittington, Stuart G.) Entanglement complexity of 
graphs in Z>. 92i:57007 

Sumners, D. W. see Soteros, C. E.; et al., 92i:57007 

Taniyama, Kouki On unknotting operations of two-bridge knots. 92h:57015 

Thistlethwaite, Morwen B. On the algebraic part of an alternating link. 92m:57016 

— see also Menasco, William W., 92b:57017 and 92h:57013 

Tufillaro, N. B. see Melvin, Paul M., 92m:57013 

Uchida, Yoshiaki Detecting inequivalence of some unknotting tunnels for two-bridge knots. 
92h:57016 

— Universal chains. 92i:57008 

Vasil’ev, V. A. Cohomology of knot spaces. 92a:57016 

— Cohomology of spaces of knots. (Russian) 92i:57009 

— Homological invariants for knots: algorithms and computations. (Russian) 92i:57010 

Vogel, Pierre see Kauffman, Louis H., 92m:57012 

Wadati, Miki (with Akutsu, Yasuhiro; Deguchi, Tetsuo) Link polynomials and exactly 
solvable models. 92f:57016 

— (with Deguchi, Tetsuo) Old and new link polynomials from the theory of exactly solvable 
models. 92k:57017 

— see also Akutsu, Yasuhiro; et al., (92i:57011) 

Wang, Lu Yu see Ge, Mo Lin; et al., (92i:57011) 

Wang, Shi Cheng (with Zhou, Qing) Symmetry of knots and cyclic surgery. 92:57017 

Wenzl, Hans Representations of braid groups and the quantum Yang-Baxter equation. 
92d:57009 

Whittington, Stuart G. see Soteros, C. E.; et al., 92i:57007 

Witten, Edward Quantum field theory and the Jones polynomial. (see 92i:57011) 

— Gauge theories and the Jones polynomial. 92g:57019 





57M25 


Wolcott, Keith see Simon, Jonathan K., 92a:57015 

Wa, Yong Shi' see Ge, Mo Lin; et al., (92i:57011) 

Xue, Kang see Ge, Mo Lin; et al., (92i:57011) 

Yamada, Shuuji On the two variable Jones polynomial of satellite links. 92d:57010 

Yamamoto, Makoto Lower bounds for the unknotting numbers of certain algebraic knots. 
92g:57020 

— see also Hara, Masao, 92m:57011 

(Yang, Chea Ning) see Braid group, knot theory and statistical mechanics, 92i:57011 

Yokota, Yoshiyuki Twisting formulas of the Jones polynomial. 92m:57017 

— The Jones polynomial of periodic knots. 92b:57019 

Yoshinaga, Shinichi An invariant of spatial graphs associated with U,(sl(2,C)). 92m:57018 

Zetterstrém, Hans-Olov see Lindstrém, Bernt, 92b:57016 

Zhang, Xingru Nonintegral boundary-slopes exist. 92g:57021 

— Cyclic surgery on satellite knots. 92f:57018 

— Unknotting number one knots are prime: a new proof. 92a:57017 

Zhou, Qing see Wang, Shi Cheng, 92f:57017 

Zimmermann, Bruno 3-manifolds and orbifold groups of links. 92e:57022 

— On the Hantzsche-Wendt manifold. 92k:57018 


Items listed otherwise than by author 


Braid group, knot theory and statistical mechanics * Braid group, knot theory and statistical 
mechanics. 92i:57011 


Items with secondary classifications in 57M25 


Adams, Colin C. Limit volumes of hyperbolic three-orbifolds. 92d4:57029 

Akutsu, Yasuhiro see Deguchi, Tetsuo, 92h:82036 

Aneziris, Charilaos (with Balachandran, A. P.; Kauffman, Louis H.; Srivastava, Ajit Mohan) 
Novel statistics for strings and string “Chern-Simon{s]” terms. 92h:81115 

Atiyah, Michael Francis The frontier between geometry and physics. (Bulgarian) 
92m:57001 

Balachandran, A. P. see Aneziris, Charilaos; et al., 92h:81115 

Bennequin, Daniel Topologie symplectique, convexité holomorphe et structures de contact 
(d’aprés Y. Eliashberg, D. McDuff et al.). [Symplectic topology, holomorphic convexity 
and contact structures (after Y. Eliashberg, D. McDuff et al.)] 92j:32065 

Berger, Mitchell A. The topology of fieldlines. 92c:78004 

Bracken, A. J. see Zhang, R. B.; et al., 92j:17016 

Broda, B. A four-dimensional Yang-Mills approach to polynomial invariants of links. 
92h:81096 

Briigmann, Bernd (with Gambini, Rodolfo; Pullin, Jorge) Knot invariants as nondegenerate 
quantum geometries. 92m:83043 

Cantwell, John (with Conlon, Lawrence) Depth of knots. 92k:57053 

Cartier, Pierre Développements récents sur les groupes de tresses. Applications a la 
topologie et a l’algebre. [Recent developments on braid groups. Applications to topology 
and algebra] 92d:20053 

Casali, Maria Rita (with Grasselli, Luigi) Wave moves on crystallizations. 92h:57031 

Cheng, Yi! (with Ge, Mo Lin; Xue, Kang) Yang-Baxterization of braid group representa- 
tions. 92:20036 

Conlon, Lawrence see Cantwell, John, 92k:57053 

Crane, Louis Conformal field theory, spin geometry, and quantum gravity. 92e:81218 

Cruz, Ricardo N. Periodic knots and desuspensions of free involutions on spheres. 
92e:57055 

Daverman, Robert J. Manifolds with finite first homology as codimension 2 fibrators. 
92a:55015 

Deguchi, Tetsuo Hybrid-type solvable models and multivariable link polynomials. 
92a:82034 

— (with Akutsu, Yasuhiro) A general formula for colored Z,, graded braid matrices and the 
fusion braid matrices. 92h:82036 

Drinfel’d, V.G. Quasi-Hopf algebras and Knizhnik-Zamolodchikov equations. 92j:17011 

Ernst, Claus Dieter (with Sumners, D. W.) A calculus for rational tangles: applications to 
DNA recombination. 92f:92024 

Fiedler, Thomas Algebraic links and the Hopf fibration. 92c:32048 

Flapan, Erica (with Weaver, Nikolai) Intrinsic chirality of complete graphs. 92j:05060 

Frohlich, Jiirg Statistics of fields, the Yang-Baxter equation, and the theory of knots and 
links [MR 91h:81079]. (see 92m:81003) 

Gaeta, Giuseppe Knottedness and spectrum in DNA. 92b:92028 

Gambini, Rodolfo see Briigmann, Bernd; et al., 92m:83043 

Ge, Mo Lin (with Zhao, Hong Kang; Xue, Kang) Braid group representation of the Zy 
model. 92b:82045 

— see also Li, You Quan, 92a:20037 and Cheng, Yi'; et al., 92f:20036 

Giordano, Thierry (with de la Harpe, Pierre) Groupes de tresses et moyennabilité 
intérieure. [Braid groups and inner amenability] 92m:46094 

Gould, M. D. see Zhang, R. B.; et al., 92j:17016 

Grasselli, Luigi 3-manifold spines and bijoins. 92e:57026 

— see also Casali, Maria Rita, 92h:57031 

Guadagnini, E. (with Martellini, Maurizio; Mintchev, M.) Chern-Simons field theory and 
link invariants. 92k:81215 

Ha Huy Vui Sur !’irrégularité du diagramme splice pour Il’entrelacement 4 l’infini des 
courbes planes. (English summary) [On the irregularity of the splice diagram for the link 
at infinity of plane curves] 92k:32071 

de la Harpe, Pierre see Giordano, Thierry, 92m:46094 

Hempel, John Branched covers over strongly amphicheiral links. 92b:57006 

Iwase, Zyun’iti Dehn surgery along a torus T2-knot. II. 92a:57026 

Jaeger, Francois On transition polynomials of 4-regular graphs. 92c:05059 

Joyal, André (with Street, Ross) Tortile Yang-Baxter operators in tensor categories. 
92¢:18006 

Kaku, Michio * Strings, conformal fields, and topology. 92i:81288 

Kauffman, Louis H. see Aneziris, Charilaos; et al., 92h:81115 

King, Ronald Curtis (with Wybourne, Brian G.) Characters of Hecke algebras H,,(q) of type 
An-1- 924:20011 


MANIFOLDS AND CELL COMPLEXES 


1992 946 


Kinoshita, Shin’ichi A note on the homology group of the cyclic branched covering of a link. 
92:57007 

— On spatial bipartite Km,,’s and their constituent K2,,’s. 92h:57004 

Kriiger, Bertolt * Automorphe Mengen und die artinschen Zopfgruppen. (German) 
[Automorphic sets and Artin braid groups] 92f:20037 

Labastida, J. M. F. (with Liatas, P. M.; Ramallo, A. V.) Knot operators in Chern-Simons 
gauge theory. 92¢:81175 

Lawrence, R. J. Homological representations of the Hecke algebra. 92d:16020 

Leal, Lorenzo Classical diffeomorphism invariant theories and linking numbers. 92m:81166 

Lee, Hoong Chien (with Zhu, Zhong Yuan) Quantum holonomy and link invariants. 
92f:81103 

Le Ty Kuok Tkhang Varieties of representations and their subvarieties of homology jumps 
for certain knot groups. (Russian) 92k:20078 

Li, You Quan (with Ge, Mo Lin) Polynomials from nonstandard braid group representa- 
tions. 92a:20037 

Livingston, Charles Exotic dihedral actions on homology 3-spheres. 92c:57036 

Liatas, P.M. see Labastida, J. M. F.; et al., 92¢:81175 

(Madzharova, Yana) see Atiyah, Michael Francis, 92m:57001 

Majid, Shahn On q-regularization. 92e:81159 

Martellini, Maurizio see Guadagnini, E.; et al., 92k:81215 

Martin, Stephen P. Observables, skein relations, and tetrahedra in Chern-Simons gauge 
theory. 92b:81186 

Marumoto, Yoshihiko (with Nakanishi, Yasutaka) A note on the Zeeman theorem. 
92h:57039 

Mateos Guilarte, Juan The supersymmetric sigma model, topological quantum mechanics 
and knot invariants. 92h:58034 

Meyerhoff, Robert Geometric invariants for 3-manifolds. 92m:57019 

Mielke, Alexander Topological methods for discrete dynamical systems. 92h:58104 

Mintchev, M. see Guadagnini, E.; et al., 92k:81215 

Mlawer, Eli J. (with Naculich, Stephen G.; Riggs, Harold A.; Schnitzer, Howard J.) Group- 
level duality of WZW fusion coefficients and Chern-Simons link observables. 92f:81180 

Montesinos Amilibia, Angel (with Nufio Ballesteros, Juan J.) A knot without tritangent 
planes. 92b:53002 

Moody, John Atwell The Burau representation of the braid group B,, is unfaithful for large 
n. 92b:20041 

Murphy, Philip (with Sen, Siddhartha') Rational conformal theories from Witten’s knot 
approach: constraints and their analysis. 92a:81185 

Naculich, Stephen G. see Mlawer, Eli J.; et al., 92f:81180 

Nakanishi, Yasutaka see Marumoto, Yoshihiko, 92h:57039 

Nuiio Ballesteros, Juan J. see Montesinos Amilibia, Angel, 92b:53002 

Ochiai, Mitsuyuki Heegaard diagrams of 3-manifolds. 92c:57016 

O’Hara, Jun Energy of a knot. 92c:58017 

Ozawa, Tetsuya Quantization of a Poisson algebra and polynomials associated to links. 
92e:16028 

Paterson, Michael S. (with Razborov, A. A.) The set of minimal braids is co-NP-complete. 
92h:68041 

Penna, Vittorio (with Rasetti, Mario G.; Spera, Mauro) Chen’s iterated path integrals, 
quantum vortices and link invariants. 92h:58037 

Penrose, Roger Twistors, particles, strings and links. 92m:81093 

Pullin, Jorge see Briigmann, Bernd; et al., 92m:83043 

Ramallo, A. V. see Labastida, J. M. F.; et al., 92¢:81175 

Rafiada, Antonio F. Electromagnetic knots. 92j:78008 

Rasetti, Mario G. see Penna, Vittorio; et al., 92h:58037 

Razborov, A. A. see Paterson, Michael S., 92h:68041 

Rehren, Karl-Henning (with Schroer, Bert) Einstein causality and Artin braids [MR 
90g:81120]. (see 92m:81003) 

Reshetikhin, N. Yu. (with Turaev, V.G.) Invariants of 3-manifolds via link polynomials 
and quantum groups. 92b:57024 

Riggs, Harold A. see Mlawer, Eli J.; et al., 92f:81180 

Rong, Yong Wu Degree one maps between geometric 3-manifolds. 92j:57007 

Rosebrock, Stephan A reduced spherical diagram into a ribbon-disk complement and 
related examples. 92h:57006 

Schnitzer, Howard J. see Mlawer, Eli J.; et al., 92f:81180 

Schrauwen, Rob Deformations and the Milnor number of nonisolated plane curve 
singularities. 92j:32128 

Schroer, Bert see Rehren, Karl-Henning, (92m:81003) 

Sen, Siddhartha! see Murphy, Philip, 92a:81185 

Shastri, Anant R. Polynomial representations of knots. 92k:57016 

Spera, Mauro see Penna, Vittorio; et al., 92h:58037 

Srivastava, Ajit Mohan see Aneziris, Charilaos; et al., 92h:81115 

Street, Ross see Joyal, André, 92e:18006 

Sumners, D. W. see Ernst, Claus Dieter, 92f:92024 

Takahashi, Moto-o A theorem on the homology of Dehn surgered 3-manifolds. 92h:57028 

— Framed-link representations of 3-manifolds. 92f:57023 

Turaev, V.G. Algebras of loops on surfaces, algebras of knots, and quantization. (see 
92i:57011) 

— Quantum invariants of 3-manifolds and a glimpse of shadow topology. (French summary) 
92h:57030 

— see also Reshetikhin, N. Yu., 92b:57024 

Vecsernyés, P. Lattice gauge theories in terms of knots. 92a:81136 

Vinteler, Emil Extended braid group in higher-dimensional integrable theories. 92b:20042 

Weaver, Nikolai see Flapan, Erica, 92j:05060 

Weitsman, Jonathan Quantization via real polarization of the moduli space of flat 
connections and Chern-Simons gauge theory in genus one. 92f:58071 

Wenzl, Hans Quantum groups and subfactors of type B, C, and D. 92k:17032 

Wilkinson, S. A. Modelling supercoiled DNA knots and catenanes by means of a new 
regular isotopy invariant. 92k:92014 

Witten, Edward Gauge theories, vertex models, and quantum groups. 92b:82051 

Wa, Ying Qing A generalization of the handle addition theorem. 92c:57018 

Wybourne, Brian G. see King, Ronald Curtis, 92d:20011 





947 1992 


Xue, Kang see Ge, Mo Lin; et al., 92b:82045 and Cheng, Yi’; et al., 92f:20036 

Yoshikawa, Katsuyuki Homogeneity and complete decomposability of torsion free knot 
modules. 92b:16010 

Yu, Bao Zhen A note on an invariant of Fintushel and Stern. 92c:57020 

Zhang, R. B. (with Gould, M. D.; Bracken, A. J.) Quantum group invariants and link 
polynomials. 92j:17016 

— Invariants of the quantum supergroup U,(gl(m/1)). 92j:17017 

Zhao, Hong Kang see Ge, Mo Lin; et al., 92b:82045 

Zhu, Zhong Yuan see Lee, Hoong Chien, 92£:81103 


57M30 Wild knots and surfaces, etc., wild embeddings 
Babich, Amy Scrawny Cantor sets are not definable by tori. 92i:57012 


57M35 Dehn’s lemma, sphere theorem, loop theorem, asphericity 
Carter, J. Scott Closed curves that never extend to proper maps of disks. 92g:57022 


Items with secondary classifications in 57M35 

Simon, Jonathan K. (with Wolcott, Keith) Minimally knotted graphs in S>. 92a:57015 

Takeuchi, Yoshihiro Waldhausen’s classification theorem for finitely uniformizable 3- 
orbifolds. 92c:57009 

Wolcott, Keith see Simon, Jonathan K., 92a:57015 


57M40 Characterizations of E> and S? (Poincaré conjecture) 
[see also 57N12] 


Lambert, Howard On the possibility of a counterexample to the Poincaré conjecture. 
(Spanish. English summary) (see 92e:00013) 

Nagase, Teruo On the singularities of maps from the 3-ball into a homotopy 3-ball. 
92k:57019 

Rassias, George M. A survey on the Poincaré conjecture of the topology of 3-manifolds. 
92):57005 

Vince, Andrew Recognizing the 3-sphere. 92j:57006 


Items with secondary classifications in 57M40 

Brown, Edward M. Unknotted solid tori and genus one Whitehead manifolds. 92m:57022 

Gordon, C. McA. Combinatorial methods in knot theory. 92e:57007 

Lei, Feng Chun Some properties of n-relator 3-manifolds. 92¢:57028 

Otal, Jean-Pierre Sur les scindements de Heegaard de la sphére S>. [On Heegaard splittings 
of the sphere S3] 92b:57023 


57M50 Geometric structures on low-dimensional manifolds 


Canary, Richard D. The Poincaré metric and a conformal version of a theorem of Thurston. 
92k:57020 

Frame, Michael (with Hefferon, James) Fractal dimensions of limit sets of some Kleinian 
groups. 92h:57017 

Hefferon, James see Frame, Michael, 92h:57017 

Kim, Hyuk Space of geometric structures whose developments are coverings. 92b:57020 

Kojima, Sadayoshi (with Miy to, Yosuke) The smallest hyperbolic 3-manifolds with 
totally geodesic boundary. 92f:57019 

Makarov, V.S. (with Makarova, K. P.) On a geodesic on the Seifert-Weber manifold. 
(Russian) 92h:57018 

Makarova, K. P. see Makarov, V. S., 92h:57018 

Meyerhoff, Robert Geometric invariants for 3-manifolds. 92m:57019 

Miyamoto, Yosuke see Kojima, Sadayoshi, 92f:57019 

Molnér, Emil (with Sarac, Marica) Bipyramidal noncompact hyperbolic space forms with 
finite volume. 92k:57021 

Nakayama, Hiromichi On cutting pseudo-foliations along incompressible surfaces. 
92h:57019 

Papadopoulos, Athanase D. (with Penner, Robert C.) La forme symplectique de Weil- 
Petersson et le bord de Thurston de l’espace de Teichmiiller. [The Weil-Petersson 
symplectic form and the Thurston boundary of Teichmiiller space] 92e:57023 

— On Thurston’s boundary of Teichmiiller space and the extension of earthquakes. 
92i:57013 

Penner, Robert C. see Papadopoulos, Athanase D., 92e:57023 

Sarac, Marica see Molnér, Emil, 92k:57021 

Soma, Teruhiko Construction of hyperbolic 3-orbifolds from certain representations. 
924:57011 

Takeuchi, Yoshihiro Waldhausen’s classification theorem for finitely uniformizable 3- 
orbifolds. 92¢:57009 

de Verdiere, Yves Colin Un principe variationnel pour les empilements de cercles. [A 
variational principle for circle packings] 92h:57020 

Wa, Ying Qing Essential laminations in surgered 3-manifolds. 92k:57022 

Yoshida, Tomoyoshi On ideal points of deformation curves of hyperbolic 3-manifolds with 
one cusp. 92a:57018 





Items with secondary classifications in 57M50 

Anderson, James W. On the finitely generated intersection property for Kleinian groups. 
92i:30042 

Beardon, Alan F. (with Stephenson, Kenneth) The uniformization theorem for circle 
packings. 92b:52038 

Bolsinov, A. V. Methods of calculation of the Fomenko-Zieschang invariant. 92m:58053 

Chiswell, I. M. Nonstandard analysis and the Morgan-Shalen compactification. 92h:57002 

Corlette, Kevin Archimedean superrigidity and hyperbolic geometry. 92m:57048 

Cuccagna, Scipio (with Zimmermann, Bruno) On the mapping class group of spherical 3- 
orbifolds. 92m:57020 

Daverman, Robert J. 3-manifolds with geometric structure and approximate fibrations. 
92m:55016 


57M_ Low-dimensional topology 


57M99 


Feighn, Mark (with Mess, Geoffrey) Conjugacy classes of finite subgroups of Kleinian 
groups. 92a:57042 

Kenyon, Richard Rigidity of planar tilings. 92m:52049 

Leytem, Charles Construction of equivelar manifolds with regularity conditions. (Serbo- 
Croatian summary) 92e:52023 

Masur, Howard (with Smillie, John) Hausdorff dimension of sets of nonergodic measured 
foliations. 92j:58081 

Matsumoto, Yukio (with Montesinos, José Maria) A proof of Thurston’s uniformization 
theorem of geometric orbifolds. 92g:57005 

McCullough, Darryl Virtually geometrically finite mapping class groups of 3-manifolds. 
92c¢:57001 

Mess, Geoffrey see Feighn, Mark, 92a:57042 

Meyerhoff, Robert (with Neumann, Walter D.) An asymptotic formula for the eta 
invariants of hyperbolic 3-manifolds. 92k:57049 

Minsky, Yair N. Harmonic maps into hyperbolic 3-manifolds. 92j:58027 

Montesinos, José Maria see Matsumoto, Yukio, 92g:57005 

Mosher, Lee Surfaces and branched surfaces transverse to pseudo-Anosov flows on 3- 
manifolds. 92k:57029 

Nakayama, Hiromichi Transversely affine foliations of some surface bundles over S' of 
pseudo-Anosov type. (French summary) 92k:57055 

Neumann, Walter D. see Meyerhoff, Robert, 92k:57049 

Rasetti, Mario G. The mapping class group in statistical mechanics: a concise review. 
92j:82015 

Sakuma, Makoto The geometries of spherical Montesinos links. 92e:57018 

Smillie, John see Masur, Howard, 92}j:58081 

Soma, Teruhiko Intersection of finitely generated surface groups. II. 92f:57006 

Stephenson, Kenneth see Beardon, Alan F., 92b:52038 

Tsukui, Yasuyuki On handle free 3-manifolds. 92h:57029 

Tukia, Pekka Mostow-rigidity and noncompact hyperbolic manifolds. 92b:57048 

Vesnin, A. Yu. Three-dimensional hyperbolic manifolds with a common fundamental 
polyhedron. (Russian) 92i:57017 

Wang, Shi Cheng Group actions on hyperbolic 3-manifolds. 92c:57010 

Zimmermann, Bruno 3-manifolds and orbifold groups of links. 92e:57022 

— see also Cuccagna, Scipio, 92m:57020 


57M60 Group actions in low dimensions 


Broughton, S. Allen Classifying finite group actions on surfaces of low genus. 92b:57021 

Cuccagna, Scipio (with Zimmermann, Bruno) On the mapping class group of spherical 3- 
orbifolds. 92m:57020 

Kalliongis, John (with Miller, Andy) The symmetries of genus one handlebodies. 
92g:57023 

Miller, Andy see Kalliongis, John, 92g:57023 

Wang, Shi Cheng Group actions on hyperbolic 3-manifolds. 92c:57010 

— Maximum orders of periodic maps on closed surfaces. 92k:57023 

Zimmermann, Bruno see Cuccagna, Scipio, 92m:57020 


Items with secondary classifications in 57M60 

De Michelis, Stefano Group actions on rational homology spheres. (Italian summary) 
92£:57048 

Gillet, Henri (with Shalen, Peter B.) Cohomological dimension of groups acting on R-trees. 
92k:57001 

Hinkkanen, A. Sense-reversing generators of discrete convergence groups in the plane. 
92m:30083 

Kaneto, Takeshi Surgery on 2-symmetric Heegaard diagrams. 92j:57001 

Kulkarni, Ravi S. A note on Wiman and Accola-Maclachlan surfaces. 92j:30045 

Pollicott, Mark Rotation sets for homeomorphisms and homology. 92h:58116 

Sakuma, Makoto The geometries of spherical Montesinos links. 92e:57018 

Shalen, Peter B. see Gillet, Henri, 92k:57001 

Uezu, Tatsuya Topological structure in flow systems. 92f:58124 

Zimmermann, Bruno 3-manifolds and orbifold groups of links. 92e:57022 


57M99 None of the above, but in this section 


Bauer, Max An upper bound for the least dilatation. 92g:57024 

— Examples of pseudo-Anosov homeomorphisms. 92g:57025 

Harer, John The third homology group of the moduli space of curves. 92d:57012 

Hatcher, Allen On triangulations of surfaces. 92f:57020 

Homma, Tatsuo (with Nagase, Teruo) On elementary deformations of maps of surfaces 
into 3-manifolds. II. 92g:57026 

Itzykson, Claude (with Zuber, J.-B.) Combinatorics of mapping class groups and matrix 
integration. 92h:57021 

Kalliongis, John (with McCullough, Darryl!) Homeotopy groups of irreducible 3-manifolds 
which may contain two-sided projective planes. 92k:57024 

Kiralis, Jeff Pseudo-isotopies of irreducible 3-manifolds. 92k:57025 

Libre, Jaume (with MacKay, R.S.) A classification of braid types for diffeomorphisms of 
surfaces of genus zero with topological entropy zero. 92a:57019 

MacKay, R.S. see Llibre, Jaume, 92a:57019 

McCullough, Darryl see Kalliongis, John, 92k:57024 

Nagase, Teruo see Homma, Tatsuo, 92g:57026 

Pignoni, Roberto On surfaces and their contours. 92h:57022 

Rong, Yong Wu Degree one maps between geometric 3-manifolds. 92j:57007 

Schwarz, Gideon E. The dark side of the Moebius strip. 92h:57023 

Suzuki, Shin’ichi A prime decomposition theorem for a graph in the 3-sphere. 92c:57011 

Thomassen, Carsten The Jordan-Schénflies theorem and the classification of surfaces. 
92k:57026 

Trapp, Rolland A linear representation of the mapping class group # and the theory of 
winding numbers. 92k:57027 

Zaber, J.-B. see Itzykson, Claude, 92h:57021 





57M99 


Items with secondary classifications in 57M99 

Aarts, Jan M. (with Hagopian, Charles L.; Oversteegen, Lex G.) The orientability of 
matchbox manifolds. 92h:54044 

Benedetti, Riccardo On 3-manifolds up to blowing-up. 92j:57008 

Etayo Gordejuela, José Javier A note on symmetric and alternating M*-groups. (Spanish. 
English summary) (see 92g:00024) 

Francis, George K. The Etruscan Venus. 92¢:53003 

Frank, Andras (with Schrijver, Alexander) Vertex-disjoint simple paths of given homotopy 
in a planar graph. 924:05083 

Gao, Zhi-Cheng The number of rooted 2-connected triangular maps on the projective plane. 
92g:05101 

— The number of rooted triangular maps on a surface. 92h:05068 

Hagopian, Charles L. see Aarts, Jan M.; et al., 92h:54044 

He, Zheng-Xu An estimate for hexagonal circle packings. 92b:52039 

Hiraide, Koichi Positively expansive open maps of Peano spaces. 92e:54047 

Ikeda, Hiroshi! (with Yamashita, Masakatsu; Yokoyama, Kazuo) Deformations of DS- 
diagrams. 92g:57006 

— The diversion of DS-diagrams. 92g:57007 

Louis H. (with Lins, Séstenes) Computing Turaev-Viro invariants for 3- 

manifolds. 92j:57009 

Kim, Myung Ho (with Kojima, Sadayoshi; Raymond, Frank) Homotopy invariants of 
nonorientable 4-manifolds. 92k:57033 

Kojima, Sadayoshi see Kim, Myung Ho; et al., 92k:57033 

Lins, Séstenes see Kauffman, Louis H., 92j:57009 

Matsunaga, Hiromichi Conformal compactification of R? x S'. 92d:53024 

Mosher, Lee Surfaces and branched surfaces transverse to pseudo-Anosov flows on 3- 
manifolds. 92k:57029 

Oversteegen, Lex G. see Aarts, Jan M.; et al., 92h:54044 

Pignoni, Roberto Curves and surfaces in real projective spaces: an approach to generic 
projections. 92e:14055 

Raymond, Frank see Kim, Myung Ho; et al., 92k:57033 

Rodin, Burt On a problem of A. Beardon and K. Stephenson. 92k:52038 

Scharlemann, Martin G. Lectures on the theory of sutured 3-manifolds. 92f:57022 

Schrijver, Alexander Decomposition of graphs on surfaces and a homotopic circulation 
theorem. 924:05058 

— see also Frank, Andras, 924:05083 

Srivastava, Ajit Mohan Importance of boundary conditions for topological production of 
textures and Skyrmions. 92a:81225 

Wang, Shi Cheng The existence of maps of nonzero degree between aspherical 3-manifolds. 
92£:57024 

— 3-manifolds which cover only finitely many 3-manifolds. 92a:57022 

Wa, Ying Qing A generalization of the handle addition theorem. 92c:57018 

— Essential laminations in surgered 3-manifolds. 92k:57022 

Yamashita, Masakatsu see Ikeda, Hiroshi’; et al., 92g:57006 

Yokoyama, Kazuo On DS-diagrams of lens spaces. 92g:57008 

— see also Ikeda, Hiroshi’; et al., 92g:57006 


Items listed otherwise than by author 
Travaux de Thurston sur les surfaces * Travaux de Thurston sur les surfaces. (French) [The 
works of Thurston on surfaces] 92g:57001 


Works of Thurston on surfaces * Travaux de Thurston sur les surfaces. (French) [The works 
of Thurston on surfaces] 92g:57001 


57Nxx Topological manifolds 


57N05 Topology of E”, 2-manifolds 


Bonahon, Francis Earthquakes on Riemann surfaces and on measured geodesic laminations. 
92£:57021 

Broughton, S. Allen The equisymmetric stratification of the moduli space and the Krull 
dimension of mapping class groups. 92d:57013 

Haas, Andrew Howard (with Susskind, Perry) The connectivity of multicurves determined 
by integral weight train tracks. 92e:57024 

Ivanov, N. V. Permutation representations of braid groups of surfaces. (Russian) 
92h:57024 

Mohar, Bojan Regular triangulations of noncompact surfaces. 92¢:57012 

Penner, Robert C. Integration over the moduli space of Riemann surfaces. (see 92i:81012) 

Susskind, Perry see Haas, Andrew Howard, 92e:57024 

Thomassen, Carsten A characterization of the 2-sphere in terms of Jordan curve separation. 
92k:57028 


Items with secondary classifications in 57N05 


Balogh, Z. see Bennett, Harold R., 92h:54036 

Bauer, Max An upper bound for the least dilatation. 92g:57024 

— Examples of pseudo-Anosov homeomorphisms. 92g:57025 

Bennett, Harold R. (with Balogh, Z.) Quasi-developable manifolds. 92h:54036 

Carter, J. Scott Closed curves that never extend to proper maps of disks. 92g:57022 

Cauty, Robert L’espace des pseudo-arcs d’une surface. (English summary) [The space of 
pseudo-arcs of a surface] 92j:57011 

— L’espace des arcs d’une surface. (English summary) [The space of arcs of a surface] 
92j:57012 

Curry, Stephen B. One-dimensional nonseparating plane continua with disjoint e-dense 
subcontinua. 92j:54041 

David, Guy René (with Martin, Gaven J.; Semmes, Stephen) Médiatrice de deux arcs de 
quasicercle. [Right bisector of two arcs of a quasicircle] 92e:30008 

Ferguson, Helaman Rolfe Pratt Two theorems, two sculptures, two posters. 92¢:00006 

Gabai, David Convergence groups are Fuchsian groups. 92h:57056 

Hagopian, Charles L. Fixed-point problems in continuum theory. 92i:54033 


MANIFOLDS AND CELL COMPLEXES 


1992 948 


Homma, Tatsuo (with Nagase, Teruo) On elementary deformations of maps of surfaces 
into 3-manifolds. II. 92g:57026 

Johannson, Klaus On surfaces and Heegaard surfaces. 92c:57015 

Keen, Linda (with Series, Caroline) Pleating coordinates for the Teichmiiller space of a 
punctured torus. 92k:30064 

Kulkarni, Ravi S. A finiteness theorem for planar discontinuous groups. 92a:57044 

— A note on Wiman and Accola-Maclachlan surfaces. 92j:30045 

Lienhardt, Pascal Subdivisions de surfaces et cartes généralisées de dimension 2. (English 
summary) [Subdivisions of surfaces and two-dimensional generalized maps] 92e:68022 

Martin, Gaven J. see David, Guy René; et al., 92e:30008 

McCullough, Darryl Virtually geometrically finite mapping class groups of 3-manifolds. 
92¢:57001 

Nagase, Teruo see Homma, Tatsuo, 92g:57026 

Plakhta, L. P. G-symmetric products of the sphere S? and of other closed surfaces. 
(Russian) 92a:54033 

Rasetti, Mario G. The mapping class group in statistical mechanics: a concise review. 
92j:82015 

Semmes, Stephen see David, Guy René; et al., 92e:30008 

Series, Caroline see Keen, Linda, 92k:30064 

Thomassen, Carsten The Jordan-Schénflies theorem and the classification of surfaces. 
92k:57026 

Trapp, Rolland A linear representation of the mapping class group # and the theory of 
winding numbers. 92k:57027 

Wunderlich, Walter Shaky polyhedra of higher connection. 92a:52022 


57N10 Topology of general 3-manifolds [see also 57Mxx] 


Ancel, Fredric D. (with Guilbault, Craig R.) An extension of Rourke’s proof that Q; = 0 to 
nonorientable manifolds. 92h:57025 

Apanasov, B. N. (with Gutsul, I. S.) Closed hyperbolic 3-manifolds of equal volume. 
(Russian) 92e:57025 

Archer, Francis (with Williams, Ruth M.) The Turaev-Viro state sum model and three- 
dimensional quantum gravity. 92m:57021 

Bandieri, Paola (with Rinaldi, Gloria) Standard spines of 3-manifolds. (Italian summary) 
92¢:57013 

Benedetti, Riccardo On 3-manifolds up to blowing-up. 92j:57008 

Boileau, Michel (with Otal, Jean-Pierre) Scindements de Heegaard et groupe des 
homéotopies des petites variétés de Seifert. [Heegaard splittings and homeotopy group of 
small Seifert manifolds] 92i:57014 

Boyer, Steven (with Nicas, Andrew J.) Varieties of group representations and Casson’s 
invariant for rational homology 3-spheres. 92a:57020 

Braam, Peter J. Floer homology groups for homology three-spheres. 92g:57027 

Brown, Edward M. Unknotted solid tori and genus one Whitehead manifolds. 92m:57022 

Crane, Louis 2-d physics and 3-d topology. 92h:57026 

Gémez-Larraiiaga, J.C. (with Gonzalez-Acuiia, F.; Hoste, Jim) Minimal atlases on 3- 
manifolds. 92¢c:57014 

Gonzalez-Acuiia, F. see Gémez-Larraiiaga, J. C.; et al., 92c:57014 

Grasselli, Luigi 3-manifold spines and bijoins. 92e:57026 

Guilbault, Craig R. see Ancel, Fredric D., 92h:57025 

Gutsul, I.S. see Apanasov, B. N., 92e:57025 

Hass, Joel Genus two Heegaard splittings. 92¢:57027 

Hoste, Jim see Gémez-Larraiiaga, J. C.; et al., 92c:57014 

Johannson, Klaus On surfaces and Heegaard surfaces. 92¢:57015 

Kauffman, Louis H. (with Lins, Séstenes) Computing Turaev-Viro invariants for 3- 
manifolds. 92j:57009 

Ko, Ki Hyoung (with Smolinsky, Lawrence) The framed braid group and 3-manifolds. 
92i:57015 

Kronheimer, Peter B. (with Larsen, Michael Jeffrey; Scherk, J.) Casson’s invariant and 
quadratic reciprocity. 92g:57028 

Larsen, Michael Jeffrey see Kronheimer, Peter B.; et al., 92g:57028 

Lei, Feng Chun Some properties of n-relator 3-manifolds. 92e:57028 

Lins, Séstenes see Kauffman, Louis H., 92j:57009 

Luft, E. (with Sjerve, D.) A torus reduction theorem for regular coverings of 3-manifolds by 
homology 3-spheres. 92b:57022 

Matveev, S. V. Complexity theory of three-dimensional manifolds. 92e:57029 

Morita, Shigeyuki On the structure of the Torelli group and the Casson invariant. 
92i:57016 

Mosher, Lee Surfaces and branched surfaces transverse to pseudo-Anosov flows on 3- 
manifolds. 92k:57029 

Motto, Michael Maximal triads and prime decompositions of surfaces embedded in 3- 
manifolds. 92h:57027 

Nicas, Andrew J. see Boyer, Steven, 92a:57020 

Ochiai, Mitsuyuki Heegaard diagrams of 3-manifolds. 92c:57016 

Ohshika, Ken’ichi Minimal measured laminations in geometric 3-manifolds. 92a:57021 

Otal, Jean-Pierre Sur les scindements de Heegaard de la sphére S?. [On Heegaard splittings 
of the sphere S3] 92b:57023 

— see also Boileau, Michel, 92i:57014 

Poénaru, V. On the equivalence relation forced by the singularities of a nondegenerate 
simplicial map. 92k:57030 

— Killing handles of index one stably, and 27°. 92k:57031 

Qiu, Rui Feng Structure of a class of three-dimensional manifolds with boundaries. 
(Chinese. English summary) 92e:57030 

Repovs, DuSan Shrinking 0-dimensional cell-like decompositions of 3-manifolds. (Russian 
summary) 92c:57017 

Reshetikhin, N. Yu. (with Turaev, V.G.) Invariants of 3-manifolds via link polynomials 
and quantum groups. 92b:57024 

Rinaldi, Gloria see Bandieri, Paola, 92c:57013 

Scharlemann, Martin G. Lectures on the theory of sutured 3-manifolds. 92f:57022 

Scherk, J. see Kronheimer, Peter B.; et al., 92g:57028 

Sjerve, D. see Luft, E., 92b:57022 





949 1992 


Smolinsky, Lawrence see Ko, Ki Hyoung, 92i:57015 

Soma, Teruhiko Virtual fibers in hyperbolic 3-manifolds. 92m:57023 

Takahashi, Moto-o A theorem on the homology of Dehn surgered 3-manifolds. 92h:57028 

— Framed-link representations of 3-manifolds. 92f:57023 

Tsukui, Yasuyuki On handle free 3-manifolds. 92h:57029 

Turaev, V.G. Quantum invariants of 3-manifolds and a glimpse of shadow topology. 
(French summary) 92h:57030 

— see also Reshetikhin, N. Yu., 92b:57024 

Vesnin, A. Yu. Three-dimensional hyperbolic manifolds with a common fundamental 
polyhedron. (Russian) 92i:57017 

Wang, Shi Cheng The existence of maps of nonzero degree between aspherical 3-manifolds. 
92:57024 

— 3-manifolds which cover only finitely many 3-manifolds. 92a:57022 

Williams, Ruth M. see Archer, Francis, 92m:57021 

Wa, Ying Qing A generalization of the handle addition theorem. 92c:57018 


Items with secondary classifications in 57N10 

Bandieri, Paola A note on the genus of 3-manifolds with boundary. (Italian summary) 
92£:57009 

— Platonic decompositions of 3-manifolds. (Italian summary) 92k:52028 

Berge, John The knots in D? x S' which have nontrivial Dehn surgeries that yield D? x S'. 
924:57005 

Boden, Hans U. Representations of orbifold groups and parabolic bundles. 92j:14015 

Carter, J. Scott Closed curves that never extend to proper maps of disks. 92g:57022 

— Extending immersions of curves to properly immersed surfaces. 92k:57006 

Cavicchioli, Alberto Finding nice crystallizations for handle free N-manifolds. 92h:57040 

Costa, Antonio F. On manifolds admitting regular combinatorial maps. 92e:57005 

Crane, Louis Conformal field theory, spin geometry, and quantum gravity. 92e:81218 

Daverman, Robert J. 3-manifolds with geometric structure and approximate fibrations. 
92m:55016 

Eliashberg, Yakov New invariants of open symplectic and contact manifolds. 92c:58030 

Eudave-Muiioz, Mario Band sums of links which yield composite links. The cabling 
conjecture for strongly invertible knots. 92m:57009 

Feighn, Mark (with Mess, Geoffrey) Conjugacy classes of finite subgroups of Kleinian 
groups. 92a:57042 

Fomenko, A. T. (with Tuzhilin, Aleksei Avgustinovich) * Elements of the geometry and 
topology of minimal surfaces in three-dimensional space. 92m:53010 

Frame, Michael (with Hefferon, James) Fractal dimensions of limit sets of some Kleinian 
groups. 92h:57017 

Freed, Daniel S. (with Gompf, Robert E.) Computer tests of Witten’s Chern-Simons theory 
against the theory of three-manifolds. 92k:57061 

Fujii, Michihike Hyperbolic 3-manifolds with totally geodesic boundary which are 
decomposed into hyperbolic truncated tetrahedra. 92a:57043 

Gabai, David 1-bridge braids in solid tori. 92b:57011 

— Convergence groups are Fuchsian groups. 92h:57056 

Gillet, Henri (with Shalen, Peter B.) Dendrology of groups in low Q-ranks. 92b:57003 

Gompf, Robert E. see Freed, Daniel S., 92k:57061 

Hefferon, James see Frame, Michael, 92h:57017 

Heil, Wolfgang Free involutions on certain 3-manifolds. 92a:57040 

Homma, Tatsuo (with Nagase, Teruo) On elementary deformations of maps of surfaces 
into 3-manifolds. II. 92g:57026 

Ikeda, Hiroshi! (with Yamashita, Masakatsu; Yokoyama, Kazuo) Deformations of DS- 
diagrams. 92g:57006 

— The diversion of DS-diagrams. 92g:57007 

Isachenko, N. A. Uniformly quasiconformal discontinuous groups that are not isomorphic 
to Mébius groups. (Russian) 92f:30063 

Kalliongis, John (with McCullough, Darryl) Homeotopy groups of irreducible 3-manifolds 
which may contain two-sided projective planes. 92k:57024 

Kamishima, Yoshinobu (with Tsuboi, Takashi) CR-structures on Seifert manifolds. 
92¢:53016 

Kiralis, Jeff Pseudo-isotopies of irreducible 3-manifolds. 92k:57025 

Kirby, Robion (with Melvin, Paul M.) The 3-manifold invariants of Witten and 
Reshetikhin-Turaev for sl(2,C). 92e:57011 

Ko, Ki Hyoung (with Smolinsky, Lawrence) A combinatorial matrix in 3-manifold theory. 
92d:57008 

Kotschick, D. SO(3)-invariants for 4-manifolds with bj = 1. 92m:57040 

Lickorish, W. B. R. Three-manifolds and the Temperley-Lieb algebra. 92e:57014 

— Invariants for 3-manifolds from the combinatorics of the Jones polynomial. 924:57007 

La, Ning A simple proof of the fundamental theorem of Kirby calculus on links. 92g:57013 

Lucchesi, Claudio (with Piguet, Olivier) Local supersymmetry of the Chern-Simons theory. 
92h:81100 

Matsumoto, Yukio (with Montesinos, José Maria) A proof of Thurston’s uniformization 
theorem of geometric orbifolds. 92g:57005 

McCullough, Darryl see Kalliongis, John, 92k:57024 

Melvin, Paul M. see Kirby, Robion, 92e:57011 

Mess, Geoffrey see Feighn, Mark, 92a:57042 

Meyerhoff, Robert (with Neumann, Walter D.) An asymptotic formula for the eta 
invariants of hyperbolic 3-manifolds. 92k:57049 

— Geometric invariants for 3-manifolds. 92m:57019 

Minsky, Yair N. Harmonic maps into hyperbolic 3-manifolds. 92j:58027 

Molnar, Emil (with Sarac, Marica) Bipyramidal noncompact hyperbolic space forms with 
finite volume. 92k:57021 

Montesinos, José Maria see Matsumoto, Yukio, 92g:57005 

Mosher, Lee Correction to: “Equivariant spectral decomposition for flows with a Z- 
action” [Ergodic Theory Dynamical Systems 9 (1989), no. 2, 329-378; MR 90j:58117]. 
92h:58155 

Nagase, Teruo see Homma, Tatsuo, 92g:57026 

Negami, Seiya Branched coverings of PL involutions on 3-manifolds. 92f:57008 

Neumann, Walter D. see Meyerhoff, Robert, 92k:57049 

Piguet, Olivier see Lucchesi, Claudio, 92h:81100 


57N_ Topological manifolds 


(Primrose, E. J. F.) see Fomenko, A. T., 92m:53010 

Sarac, Marica see Molnér, Emil, 92k:57021 

Shalen, Peter B. see Gillet, Henri, 92b:57003 

Skora, Richard K. Knot and link projections in 3-manifolds. 92e:57021 

Smolinsky, Lawrence see Ko, Ki Hyoung, 92d:57008 

Soma, Teruhiko 3-manifold groups with the finitely generated intersection property. 
92h:57001 

Tsuboi, Takashi see Kamishima, Yoshinobu, 92c:53016 

Tuzhilin, Aleksei Avgustinovich see Fomenko, A. T., 92m:53010 

Weitsman, Jonathan Quantization via real polarization of the moduli space of flat 
connections and Chern-Simons gauge theory in genus one. 92f:58071 

Wa, Ying Qing Essential laminations in surgered 3-manifolds. 92k:57022 

Yamashita, Masakatsu see Ikeda, Hiroshi’; et al., 92g:57006 

Yokoyama, Kazuo On DS-diagrams of lens spaces. 92g:57008 

— see also Ikeda, Hiroshi; et al., 92g:57006 

Yoshida, Tomoyoshi Floer homology and splittings of manifolds. 92m:57041 

Zimmermann, Bruno 3-manifolds and orbifold groups of links. 92e:57022 

— On the Hantzsche-Wendt manifold. 92k:57018 


57N12 Topology of E> and S° [see also 57M40] 


Casali, Maria Rita (with Grasselli, Luigi) Wave moves on crystallizations. 92h:57031 
Grasselli, Luigi see Casali, Maria Rita, 92h:57031 


Items with secondary classifications in 57N12 


Babich, Amy Scrawny Cantor sets are not definable by tori. 92i:57012 

Daverman, Robert J. Manifolds with finite first homology as codimension 2 fibrators. 
92a:55015 

Rassias, George M. A survey on the Poincaré conjecture of the topology of 3-manifolds. 
92j:57005 

Wang, Shi Cheng (with Zhou, Qing) Symmetry of knots and cyclic surgery. 92f:57017 

Zhou, Qing see Wang, Shi Cheng, 92f:57017 


57N13 Topology of E*, 4-manifolds [see also 14Jxx, 32Jxx] 


Akbulut, Selman A fake compact contractible 4-manifold. 92b:57025 

— An exotic 4-manifold. 92b:57026 

Cavicchioli, Alberto (with Hegenbarth, Friedrich) Manifolds of type C(p,q). 92a:57023 

— On the genus of smooth 4-manifolds. 92g:57029 

Damian, F.L. On the construction of hyperbolic four-dimensional manifolds. (Russian) 
92k:57032 

Daverman, Robert J. (with Tinsley, F.C.) Acyclic maps whose mapping cylinders embed in 
5-manifolds. 92e:57031 

Gao, Hong Zhu On normal Euler numbers of embedding surfaces into 4-manifolds. 
92c:57019 

Guilbault, Craig R. An open collar theorem for 4-manifolds. 92g:57030 

Hegenbarth, Friedrich see Cavicchioli, Alberto, 92a:57023 

Hillman, Jonathan A. On 4-manifolds homotopy equivalent to surface bundles over 
surfaces. 92g:57031 

Kim, Myung Ho (with Kojima, Sadayoshi; Raymond, Frank) Homotopy invariants of 
nonorientable 4-manifolds. 92k:57033 

Kojima, Sadayoshi see Kim, Myung Ho; et al., 92k:57033 

Kuga, Ken’ichi A note on Lipschitz distance for smooth structures on noncompact 
manifolds. 92f:57025 

Ohta, Hiroshi? Intersection forms of 4-manifolds with a homology 3-sphere boundary. 
92£:57026 

Oledzki, Wiestaw J. On the eta-invariant of Pin*-operator on some exotic 4-dimensional 
projective space. 92b:57027 

Raymond, Frank see Kim, Myung Ho; et al., 92k:57033 

Tinsley, F.C. see Daverman, Robert J., 92e:57031 

Yu, Bao Zhen A note on an invariant of Fintushel and Stern. 92c:57020 


Items with secondary classifications in 57N13 


Audin, Michele Exemples de variétés presque complexes. [Examples of almost complex 
manifolds] 92g:53024 

Donaldson, S. K. (with Kronheimer, Peter B.) * The geometry of four-manifolds. 
92a:57036 

— Polynomial invariants for smooth four-manifolds. 92a:57035 

Ebeling, Wolfgang (with Okonek, Christian) Donaldson invariants, monodromy groups, 
and singularities. 92f:32047 

Floer, Andreas Self-dual conformal structures on /CP?. 92e:53049 

Fomenko, A. T. Theory of rough classification of integrable nondegenerate Hamiltonian 
differential equations on four-dimensional manifolds. Application to classical mechanics. 
92k:58107 

Fukuhara, Shinji (with Matsumoto, Yukio; Saeki, Osamu) An estimate for the unknotting 
numbers of torus knots. 92b:57010 

Gompf, Robert E. Nuclei of elliptic surfaces. 92:57042 

Hillman, Jonathan A. Elementary amenable groups and 4-manifolds with Euler characteris- 
tic 0. 92g:20057 

Kamada, Seiichi On deform-spun projective planes in 4-sphere obtained from peripheral 
inverting deformations. 92e:57035 

Kronheimer, Peter B. see Donaldson, S. K., 92a:57036 

Matsumoto, Yukio see Fukuhara, Shinji; et al., 92b:57010 

Okonek, Christian see Ebeling, Wolfgang, 92f:32047 

Petrie, Ted (with Randall, John) * Connections, definite forms, and four-manifolds. 
92£:57043 

Randall, John see Petrie, Ted, 92:57043 

Reinhart, Bruce L. The cut locus on low-dimensional noncompact manifolds. 92g:53032 

Saeki, Osamu see Fukuhara, Shinji; et al., 92b:57010 





57N13 


Salvetti, Mario A lower bound for the number of differentiable structures on 4-manifolds. 
(Italian summary) 92b:57042 

Venema, Gerard A. see Vo Thanh Liem, 92k:57045 

Vo Thanh Liem (with Venema, Gerard A.) Characterization of knot complements in the 4- 
sphere. 92k:57045 

Wilczyriski, Dariusz M. Periodic maps on simply connected four-manifolds. 92e:57054 


57N15 Topology of E”, n-manifolds (4 < n < co) 


Dranishnikov, A. N. (with Repovs, Dusan; Shchepin, E. V.) On intersections of compacta 
of complementary dimensions in Euclidean space. 92g:57032 

Garity, Dennis J. Thin codimension-one decompositions of R”. 92h:57032 

Repovs, Dugan see Dranishnikov, A. N.; et al., 92g:57032 

Shchepin, E. V. see Dranishnikov, A. N.; et al., 92g:57032 


Items with secondary classifications in 57N15 

Cavicchioli, Alberto Finding nice crystallizations for handle free N-manifolds. 92h:£7040 

Daverman, Robert J. Manifolds with finite first homology as codimension 2 fibrators. 
92a:55015 

Dijkstra, Jan J. (with van Mill, Jan; Mogilski, Jerzy) Classification of finite-dimensional 
universal pseudo-boundaries and pseudo-interiors. 92j:57013 

Grove, Karsten (with Petersen, Peter, V; Wu, Jyh-Yang) Erratum: “Geometric finiteness 
theorems via controlled topology” [Invent. Math. 99 (1990), no. 1, 205-213; MR 
90k:53075]. 92b:53065 

van Mill, Jan see Dijkstra, Jan J.; et al., 92j:57013 

Mogilski, Jerzy see Dijkstra, Jan J.; et al., 92j:57013 

Netsvetaev, N. Yu. Diffeomorphism and stable diffeomorphism of simply connected 
manifolds. (Russian) 92f:57041 

Ohba, Kiyoshi On fiber bundles over S' having small Seifert manifolds as fibers. 92b:57041 

Petersen, Peter, V see Grove, Karsten; et al., 92b:53065 

Wa, Jyh-Yang see Grove, Karsten; et al., 92b:53065 


57N17 Topology of topological vector spaces 


Items with secondary classifications in 57N17 


Cauty, Robert L’espace des fonctions continues d’un espace métrique dénombrable. (English 
summary) [The space of continuous functions of a countable metric space] 92c:54016 

Dijkstra, Jan J. (with Mogilski, Jerzy) The topological product structure of systems of 
Lebesgue spaces. 92h:46028 

Dobrowolski, T. (with Marciszewski, Witold; Mogilski, Jerzy) On topological classification 
of function spaces C,(X) of low Borel complexity. 92¢:54017 

Marciszewski, Witold see Dobrowolski, T.; et al., 92c:54017 

Mogilski, Jerzy see Dobrowolski, T.; et al., 92c:54017 and Dijkstra, Jan J., 92h:46028 

Narang, T. D. Uniquely remotal sets are singletons. 92j:54036 


57N20 Topology of infinite-dimensional manifolds 
[see also S8Bxx] 


Banakh, T.O. Parametric results for some classes of infinite-dimensional manifolds. 
(Russian. Ukrainian summary) 92j:57010 

Cauty, Robert L’espace des pseudo-arcs d’une surface. (English summary) [The space of 
pseudo-arcs of a surface] 92j:57011 

— L’espace des arcs d’une surface. (English summary) [The space of arcs of a surface] 
92j:57012 

Dijkstra, Jan J. (with van Mill, Jan) Stability of a fake topological Hilbert space. 
92m:57024 

— (with van Mill, Jan; Mogilski, Jerzy) The space of infinite-dimensional compacta and 
other topological copies of (i). 92k:57034 

— (with van Mill, Jan; Mogilski, Jerzy) Classification of finite-dimensional universal 
pseudo-boundaries and pseudo-interiors. 92j:57013 

Fedorchuk, V. V. see Mirzakhanyan, R. E., 92m:57025 

Hohti, Aarno Lipschitz manifolds from Hilbert cube manifolds. (Russian summary) 
92:57027 

Kanerva, Osmo-Jukka G-simple-homotopy type and equivariant Hilbert cubes for a finite 
group G. 92k:57035 

van Mill, Jan see Dijkstra, Jan J.; et al., 92j:57013; 92k:57034 and 92m:57024 

Mirzakhanyan, R. E. (with Fedorchuk, V. V.) Fiberwise Z-sets and fiberwise 2 -skeletons. 
(Russian) 92m:57025 

Mogilski, Jerzy see Dijkstra, Jan J.; et al., 92j:57013 and 92k:57034 

Sakai, Katsuro The space of Lipschitz maps from a compactum to an absolute neighbor- 
hood LIP extensor. 92k:57036 

— Connecting direct limit topologies with metrics on infinite-dimensional manifolds. 
92k:57037 

Ta Khac Cu Direct limits which are Hilbert spaces. 92h:57033 

West, James E. Open problems in infinite-dimensional topology. (see 92c:54001) 


Items with secondary classifications in 57N20 

Dijkstra, Jan J. (with van Mill, Jan; Mogilski, Jerzy) An AR-map whose range is more 
infiniie-dimensional than its domain. 92c:54022 

Dobrowolski, T. (with Marciszewski, Witold; Mogilski, Jerzy) On topological classification 
of function spaces C,(X) of low Borel complexity. 92¢:54017 

Garity, Dennis J. Thin codimension-one decompositions of R". 92h:57032 

Marciszewski, Witold see Dobrowolski, T.; et al., 92c:54017 

van Mill, Jan see Dijkstra, Jan J.; et al., 92c:54022 

Mirzakhanyan, R. E. A triple of infinite iterations of a functor of an inclusion hyperspace— 
a fiberwise version. (Russian) 92d:54012 

Mogilski, Jerzy see Dobrowolski, T.; et al., 92c:54017 and Dijkstra, Jan J.; et al., 92c:54022 

Yost, David Thomas If every doughnut is a teacup, then every Banach space is a Hilbert 
space. 92g:46010 


MANIFOLDS AND CELL COMPLEXES 


57N25 Shapes [see also 54C56, 55P55, 55Q07] 


Geoghegan, Ross (with Krasinkiewicz, Jozef) Empty components in strong shape theory. 
92h:57034 
Krasinkiewicz, Jézef see Geoghegan, Ross, 92h:57034 


Items with secondary classifications in 57N25 

Mrozik, Peter Finite-dimensional categorical complement theorems in strong shape theory 
and a principle of reversing maps between open subsets of spheres. 92b:54033 

Venema, Gerard A. see Vo Thanh Liem, 92k:57045 

Vo Thanh Liem (with Venema, Gerard A.) Characterization of knot complements in the 4- 
sphere. 92k:57045 

West, James E. Open problems in infinite-dimensional topology. (see 92¢:54001) 


57N35 Embeddings and immersions 


Kranjc, Marko Embedding a 2-complex K in R* when H?(K) is acyclic group. 92:57028 
Luukkainen, Jouni Bi-Lipschitz concordance implies bi-Lipschitz isotopy. 92a:57024 


Items with secondary classifications in 57N35 

Garity, Dennis J. Thin codimension-one decompositions of R". 92h:57032 

Hayakawa, Eijirou On some branched surfaces which admit expanding immersions. II. 
92h:57005 

Soteros, C. E. (with Sumners, D. W.; Whittington, Stuart G.) Entanglement complexity of 
graphs in Z>. 92i:57007 

Spiez, S. (with Toruticzyk, H.) Moving compacta in R™ apart. 92m:57030 

Sumners, D. W. see Soteros, C. E.; et al., 92i:57007 

Toruticzyk, H. see Spiez, S., 92m:57030 

Whittington, Stuart G. see Soteros, C. E.; et al., 92i:57007 


57N37 Isotopy and pseudo-isotopy 


Farrell, F.T. (with Jones, Lowell Edwin) Computations of stable pseudoisotopy spaces for 
aspherical manifolds. 92k:57038 

Gusein-Zade, S. M. Stratifications of a space of functions, and algebraic K-theory. 
(Russian) 92k:57039 

Jones, Lowell Edwin see Farrell, F. T., 92k:57038 


Items with secondary classifications in 57N37 

Boileau, Michel (with Otal, Jean-Pierre) Scindements de Heegaard et groupe des 
homéotopies des petites variétés de Seifert. [Heegaard splittings and homeotopy group of 
small Seifert manifolds] 92i:57014 

Kalliongis, John (with McCullough, Darryl) Homeotopy groups of irreducible 3-manifolds 
which may contain two-sided projective planes. 92k:57024 

Kiralis, Jeff Pseudo-isotopies of irreducible 3-manifolds. 92k:57025 

Luukkainen, Jouni Bi-Lipschitz concordance implies bi-Lipschitz isotopy. 92a:57024 

McCullough, Darryl see Kalliongis, John, 92k:57024 

Otal, Jean-Pierre see Boileau, Michel, 92i:57014 


57N40 Neighborhoods of submanifolds 


Hughes, C. Bruce (with Taylor, Laurence R.; Williams, E. Bruce) Manifold approximate 
fibrations are approximately bundles. 92k:57040 

Taylor, Laurence R. see Hughes, C. Bruce; et al., 92k:57040 

Williams, E. Bruce see Hughes, C. Bruce; et al., 92k:57040 


Items with secondary classifications in 57N40 
Guilbault, Craig R. An open collar theorem for 4-manifolds. 92g:57030 


57N45 Flatness and tameness 


Items with secondary classifications in 57N45 

Garity, Dennis J. Thin codimension-one decompositions of R". 92h:57032 

Guilbault, Craig R. An open collar theorem for 4-manifolds. 92g:57030 

Kranjc, Marko Embedding a 2-complex K in R* when H?(K) is acyclic group. 92f:57028 

Venema, Gerard A. see Vo Thanh Liem, 92k:57045 

Vo Thanh Liem (with Venema, Gerard A.) Characterization of knot complements in the 4- 
sphere. 92k:57045 


57N60 Cellularity 


Dragotti, Sara (with Esposito, Rosa; Magro, Gaetano) .¥ -manifolds and dual cellular 
functions. (Italian. English summary) 92h:57035 

Esposito, Rosa see Dragotti, Sara; et al., 92h:57035 

Magro, Gaetano see Dragotti, Sara; et al., 92h:57035 

Rushing, T. B. (with Sher, R. B.) A cellular wedge in R?. 92b:57028 

Sher, R. B. see Rushing, T. B., 92b:57028 


Items with secondary classifications in 57N60 

Daverman, Robert J. (with Tinsley, F.C.) Acyclic maps whose mapping cylinders embed in 
5-manifolds. 92e:57031 

Garity, Dennis J. Thin codimension-one decompositions of R". 92h:57032 

Repovs, Dugan Shrinking 0-dimensional cell-like decompositions of 3-manifolds. (Russian 
summary) 92¢:57017 

Tinsley, F.C. see Daverman, Robert J., 92e:57031 


57N65 Algebraic topology of manifolds 
Mertens, Jean-Francois Essential maps and manifolds. 92k:57041 





951 1992 


Items with secondary classifications in 57N65 

Bokor, Imre On the connection between the topological genus of certain polyhedra and the 
algebraic genus of their Hilton-Hopf quadratic forms. 92c:55009 

Chichilnisky, Graciela Social choice and the closed convergence topology. 92j:90008 

Daverman, Robert J. Manifolds with finite first homology as codimension 2 fibrators. 
92a:55015 

Matsui, Akinori Stiefel-Whitney homology classes and odd maps. 92e:57039 

Orlik, Peter Arrangements in topology. 92k:52023 


57N70 Cobordism and concordance 


Items with secondary classifications in 57N70 

Ancel, Fredric D. (with Guilbault, Craig R.) An extension of Rourke’s proof that Q; = 0 to 
nonorientable manifolds. 92h:57025 

Cochran, Tim D. (with Levine, Jerome P.) Homology boundary links and the Andrews- 
Curtis conjecture. 92f:57011 

Guilbault, Craig R. see Ancel, Fredric D., 92h:57025 

Levine, Jerome P. see Cochran, Tim D., 92f:57011 

Singh, Neeta Some new classes in the stable homotopy groups of the Thom space MSTOP 
of stable universal topological bundle. 92m:55021 


57N75_ General position and transversality 


Items with secondary classifications in 57N75 
Mas-Colell, Andreu * The theory of general economic equilibrium. 92i:90024 


57N80 Stratifications 


Cappell, Sylvain E. (with Shaneson, Julius L.) Singular spaces, characteristic classes, and 
intersection homology. 92m:57026 

Shaneson, Julius L. see Cappell, Sylvain E., 92m:57026 

Yamasaki, Masayuki Maps b orbifolds. 92i:57018a 

— Errata to: “Maps between orbifolds”. 92i:57018b 





Items with secondary classifications in 57N80 


Abbati, Maria Cristina (with Cirelli, Renzo; Mania, Alessandro) The orbit space of the 
action of gauge transformation group on connections. 92b:58032 

Cappell, Sylvain E. (with Shaneson, Julius L.) Stratifiable maps and topological invariants. 
924:57024 

Cirelli, Renzo see Abbati, Maria Cristina; et al., 92b:58032 

Fieseler, Karl-Heinz Rational intersection cohomology of projective toric varieties. 
92m:14028 

Habegger, Nathan (with Saper, Leslie) Intersection cohomology of cs-spaces and Zeeman’s 
filtration. 92k:55010 

Mania, Alessandro see Abbati, Maria Cristina; et al., 92b:58032 

Saper, Leslie see Habegger, Nathan, 92k:55010 

Saralegi Aranguren, Martin Intersection homology: comparison for different perversities. 
(Spanish) (see 92g:00024) 

Shaneson, Julius L. see Cappell, Sylvain E., 92d:57024 


57N99 None of the above, but in this section 
Apanasov, B. N. Deformations of conformal structures on hyperbolic manifolds. 92k:57042 


Items with secondary classifications in 57N99 

Krasinkiewicz, Jézef (with Lorentz, Krzysztof) Disjoint membranes in cubes. (Russian 
summary) 924:54045 

Lorentz, Krzysztof see Krasinkiewicz, Jézef, 924:54045 

Mitchell, W. J. R. (with Repovs, DuSan) The topology of cell-like mappings. 92f:54012 

Orlik, Peter Complements of subspace arrangements. 92h:52014 

Repovs, Dusan see Mitchell, W. J. R., 92f:54012 

Siersma, Dirk Variation mappings on singularities with a 1-dimensional critical locus. 
92e:32022 

Wong, Peter Ngai-Sing On the computation of the Nielsen numbers and the converse of the 
Lefschetz coincidence theorem. 92m:55003 


57Pxx Generalized manifolds [see also 18F 15] 


57P05 Local properties of generalized manifolds 
Jakobsche, W. Z,-cohomology manifold with no Z,-resolution. 92f:57029 


Items with secondary classifications in 57P05 


Garity, Dennis J. Thin codimension-one decompositions of R". 92h:57032 
Magro, Gaetano ¥ -manifolds and cobordism. (Italian. English summary) 92f:57031 


57P10 Poincaré duality spaces 


Yamaguchi, Kohhei Self-homotopy equivalences and highly connected Poincaré complexes. 
92e:57032 


Items with secondary classifications in 57P10 

Aubry, M. (with Lemaire, Jean-Michel) Sur certaines équivalences d’homotopies. (English 
summary) [On some homotopy equivalences] 92d:55010 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Elliptic spaces. 92m:55009 

Halperin, Stephen see Félix, Yves; et al., 92m:55009 

Lemaire, Jean-Michel see Aubry, M., 92d:55010 


57Q PL-topology 


57Q15 


Markl, Martin The rigidity of Poincaré duality algebras and classification of homotopy 
types of manifolds. 92d:55013 
Thomas, Jean-Claude see Félix, Yves; et al., 92m:55009 


57P99 None of the above, but in this section 
Jakobsche, W. Homogeneous cohomology manifolds which are inverse limits. 92i:57019 


Items with secondary classifications in 57P99 

Ayala, R. (with Quintero, A.) Two results on triangulations of polyhedral homology 
manifolds. (Serbo-Croatian summary) 92c:57021 

Cappell, Sylvain E. (with Weinberger, Shmuel) Classification de certains espaces stratifiés. 
(English summary) [The classification of some stratified spaces] 92h:57042 

Dragotti, Sara (with Esposito, Rosa; Magro, Gaetano) ¥ -manifolds and dual cellular 
functions. (Italian. English summary) 92h:57035 

Esposito, Rosa see Dragotti, Sara; et al., 92h:57035 

Kasparov, G. G. (with Skandalis, Georges) Groups acting on buildings, operator K-theory, 
and Novikov’s conjecture. 92h:19009 

Levendorskii, S. Z. (with Soibel'man, Ya. S.) Algebras of functions on compact quantum 
groups, Schubert cells and quantum tori. 92h:58020 

Magro, Gaetano see Dragotti, Sara; et al., 92h:57035 

Quintero, A. see Ayala, R., 92c:57021 

Skandalis, Georges see Kasparov, G. G., 92h:19009 

Soibel/man, Ya. S. see Levendorskii, S. Z., 92h:58020 

Weinberger, Shmuel see Cappell, Syivain E., 92h:57042 


57Qxx PL-topology 


57Q05 General topology of complexes 


Al-Khursani, H. A. see Elkholy, E. M., 92g:57033 

Davis, Michael Walter (with Januszkiewicz, Tadeusz) Hyperbolization of polyhedra. 
92h:57036 

Elkholy, E.M. (with Al-Khursani, H. A.) Foldings of CW-complexes. 92g:57033 

Januszkiewicz, Tadeusz see Davis, Michael Walter, 92h:57036 

Mai, Jie Hua (with Tang, Yun) On the injective metrization for infinite collapsible 
polyhedra. 92e:57033 

Tang, Yun see Mai, Jie Hua; et al., 92e:57033 

Vrabec, Joe Polyhedral quotient spaces. 92d:57014 


Items with secondary classifications in 57Q05 

Cavicchioli, Alberto On the genus of smooth 4-manifolds. 92g:57029 

Matsui, Akinori Stiefel-Whitney homology classes and odd maps. 92e:57039 

Montejano, Luis Categorical and contractible covers of polyhedra; some topological 
invariants related to the Lusternik-Schnirelmann category. 92e:55009 


57Q10 Simple homotopy type, Whitehead torsion, Reidemeister- 
Franz torsion, etc. [see also 19B28] 


Goodwillie, Thomas G. Calculus. I. The first derivative of pseudoisotopy theory. 92m:57027 

Iiiman, Séren The restriction homomorphism Res§: Whg(X) — Why(X) for G a compact 
Lie group. 92b:57029 

Lustig, Martin Nielsen equivalence and simple-homotopy type. 92a:57025 


Items with secondary classifications in 57Q10 

Anderson, Douglas R. The relationship between the boundedly controlled K, and White- 
head groups. 92i:19010 

Farrell, F.T. (with Jones, Lowell Edwin) Computations of stable pseudoisotopy spaces for 
aspherical manifolds. 92k:57038 

Felshtyn, A. L. The Reidemeister zeta function and the computation of the Nielsen zeta 
function. 92f:58140 

Hsiang, Wu Chung Borel’s conjecture, Novikov’s conjecture and the K-theoretic analogues. 
92k:57062 

Jones, Lowell Edwin see Farrell, F. T., 92k:57038 

Kanerva, Osmo-Jukka G-simple-homotopy type and equivariant Hilbert cubes for a finite 
group G. 92k:57035 

Rothenberg, Melvin G. (with Triantafillou, Georgia) On the classification of G-manifolds 
up to finite ambiguity. 92f:57049 

Sharko, V. V. The stable algebra of Morse theory. (Russian) 92a:57037 

Triantafillou, Georgia see Rothenberg, Melvin G., 92f:57049 

Vogell, Wolrad Boundedly controlled algebraic K-theory of spaces and its linear counter- 
parts. 92m:19004 


57Q15 Triangulating manifolds 


Ayala, R. (with Quintero, A.) Two results on triangulations of polyhedral homology 
manifolds. (Serbo-Croatian summary) 92c:57021 

Barnette, David W. Generating the 4-connected and strongly 4-connected triangulations on 
the torus and projective plane. 92b:57030 

Coste, Michel Unicité des triangulations semi-algébriques: validité sur un corps réel clos 
quelconque, et effectivité forte. (English summary) [Uniqueness of semi-algebraic 
triangulations: validity on any real closed field, and strong effectiveness] 92h:57037 

Kiihnel, Wolfgang Triangulations of manifolds with few vertices. 92k:57043 

Lickorish, W. B. R. Unshellable triangulations of spheres. 92k:57044 

Quintero, A. see Ayala, R., 92c:57021 


Items with secondary classifications in 57Q15 


Bandieri, Paola (with Rinaldi, Gloria) Standard spines of 3-manifolds. (Italian summary) 
92c:57013 





57Q15 


— Platonic decompositions of 3-manifolds. (Italian summary) 92k:52028 

Benedetti, Riccardo On lack of effectiveness in semi-algebraic geometry. 92d:14048 

Hartsfield, Nora (with Ringel, Gerhard) Clean triangulations. 92j:05061 

Hatcher, Allen On triangulations of surfaces. 92f:57020 

Kiihnel, Wolfgang (with Schulz, Ch.) Submanifolds of the cube. 92d4:52039 

Magurn, Katherine E. Enumeration in balanced 2-manifolds. 92b:52032 

Matsui, Akinori Stiefel-Whitney homology classes and odd maps. 92e:57039 

Mohar, Bojan Regular triangulations of noncompact surfaces. 92c:57012 

Nabutovsky, Alexander Smoothing of real algebraic hypersurfaces by rigid isotopies. 
(French summary) 92j:14070 

Rinaldi, Gloria see Bandieri, Paola, 92c:57013 

Ringel, Gerhard see Hartsfield, Nora, 92j:05061 

Schramm, Oded Existence and uniqueness of packings with specified combinatorics. 
92k:52039 

Schulz, Ch. see Kiihnel, Wolfgang, 924:52039 

Soriano Arbizu, J. M. A triangulation with continuous mesh refinement. (Spanish. English 
summary) (see 92m:00052) 

Thomassen, Carsten The Jordan-Schénflies theorem and the classification of surfaces. 
92k:57026 


57Q25 Comparison of PL-structures: classification, 
Hauptvermutung 


Items with secondary classifications in 57Q25 
Gompf, Robert E. On Cappell-Shaneson 4-spheres. 92¢:57031 


57Q35 Embeddings and immersions 


Sarkaria, K.S. A one-dimensional Whitney trick and Kuratowski’s graph planarity 
criterion. 92g:57034 

Schild, Géran On linear embeddings of abstract complexes. 92i:57020 

Shiomi, Tatsuyuki On imbedding 3-manifolds into 4-manifolds. 92m:57028 


Items with secondary classifications in 57Q35 

Al-Rubaee, Faiz Polynomial invariants of knots in lens spaces. 92k:57004 

Carter, J. Scott Closed curves that never extend to proper maps of disks. 92g:57022 

Kranjc, Marko Embedding a 2-complex K in R* when H?(K) isa cyclic group. 92f:57028 

Li, Gui Song On classification of higher order immersions of manifolds. 92a:57038 

Penrose, Roger La cohomologie des figures impossibles. [On the cohomology of impossible 
figures] 92m:52018 

Rong, Yong Wu Degree one maps between geometric 3-manifolds. 92j:57007 

Scharlemann, Martin G. Handlebody complements in the 3-sphere: a remark on a theorem 
of Fox. 92j:57004 


57Q40 Regular neighborhoods 


Items with secondary classifications in 57Q40 

Huck, Giinther Embeddings of acyclic 2-complexes in S* with contractible complement. 
92a:57002 

Mitchell, W. J.R. (with Przytycki, Jozef H.; Repovs, Du’an) On spines of knot spaces. 
(Russian summary) 92f:57014 

Przytycki, Jézef H. see Mitchell, W. J. R.; et al., 92£:57014 

Repovs, Dugan see Mitchell, W. J. R.; et al., 92f:57014 


57Q45 Knots and links (in high dimensions) {For the low- 
dimensional case, see 57M25.} 


Akbulut, Selman A solution to a conjecture of Zeeman. 92i:57021 

Broda, B. Invariants for higher-dimensional links via nonabelian topological gauge theory. 
92e:57034 

Du Bois, Philippe (with Michel, Francoise) Sur la forme de Seifert des entrelacs 
algébriques. (English summary) [On the Seifert form of algebraic links] 92g:57035 

Farber, M. Sh. Hermitian forms on link modules. 92j:57014 

Iwase, Zyun’iti Dehn surgery along a torus T?-knot. II. 92a:57026 

Kamada, Seiichi On deform-spun projective planes in 4-sphere obtained from peripheral 
inverting deformations. 92e:57035 

— On doubled surfaces of nonorientable surfaces in the 4-sphere. 92b:57031 

Kawauchi, Akio The first Alexander modules of surfaces in 4-sphere. 92b:57032 

Kearton, Cherry (with Steenbrink, J. H.M.) Spherical algebraic knots increase with 
dimension. 92j:57015 

Kirk, Paul (with Koschorke, Ulrich) Generalized Seifert surfaces and linking numbers. 
92h:57038 

Klein, John R. (with Suciu, Alexander I.) Inequivalent fibred knots whose homotopy Seifert 
pairings are isometric. 92d:57015 

Koschorke, Ulrich Link homotopy. 92e:57036 

— Link homotopy with many components. 92b:57033 

— see also Kirk, Paul, 92h:57038 

Marumoto, Yoshihiko (with Nakanishi, Yasutaka) A note on the Zeeman theorem. 
92h:57039 

Michel, Francoise see Du Bois, Philippe, 92g:57035 

Nakanishi, Y: ka seeM ote, Yoshihiko, 92h:57039 

Saito, Masahiko A note on cobordism of surface links in S*. 92a:57027 

Sekine, Mituhiro On homology of the double covering over the exterior of a surface in 4- 
sphere. 92b:57034 

Silver, Daniel S. Examples of 3-knots with no minimal Seifert manifolds. 92f:57030 

Steenbrink, J.H.M. see Kearton, Cherry, 92j:57015 

Suciu, Alexander I. see Klein, John R., 92d:57015 





MANIFOLDS AND CELL COMPLEXES 


1992 952 


Timm, Mathew The simple connectivity of links of singularities with one-dimensional 
critical locus. 92m:57029 

Venema, Gerard A. see Vo Thanh Liem, 92k:57045 

Vo Thanh Liem (with Venema, Gerard A.) Characterization of knot complements in the 4- 
sphere. 92k:57045 


Items with secondary classifications in 57Q45 

Artal-Bartolo, Enrique Forme de Seifert des singularités de surface. (English summary) 
[Seifert form of surface singularities] 92j:32122 

Cochran, Tim D. (with Levine, Jerome P.) Homology boundary links and the Andrews- 
Curtis conjecture. 92f:57011 

Levine, Jerome P. see Cochran, Tim D., 92f:57011 

Lickorish, W. B. R. Unshellable triangulations of spheres. 92k:57044 

Matumoto, Takao Lusternik-Schnirel‘mann category of ribbon knot complement. 92:55010 

Nakanishi, Yasutaka On ribbon knots. II. 92b:57018 


Siersma, Dirk Variation mappings on singularities with a 1-dimensional critical locus. 
92e:32022 


57Q50 Microbundles and block bundles [see also 55R60, 57N55] 


Items with secondary classifications in 57Q50 


Singh, Neeta Some new classes in the stable homotopy groups of the Thom space MSTOP 
of stable universal topological bundle. 92m:55021 


57Q55 Approximations 


Spiez, S. (with Toruticzyk, H.) Moving compacta in R™ apart. 92m:57030 
Toruticzyk, H. see Spiez, S., 92m:57030 


57Q60 Cobordism and concordance 
Magro, Gaetano ¥ ifolds and cobordism. (Italian. English summary) 92f:57031 


Items with secondary classifications in 57Q60 

Ayala, R. (with Quintero, A.) Two results on triangulations of polyhedral homology 
manifolds. (Serbo-Croatian summary) 92c:57021 

Gusein-Zade, S. M. Stratifications of a space of functions, and algebraic K-theory. 
(Russian) 92k:57039 

Quintero, A. see Ayala, R., 92c:57021 

Saito, Masahiko A note on cobordism of surface links in S*. 92a:57027 





57Q91 Equivariant PL-topology 


Items with secondary classifications in 57Q91 

Kanerva, Osmo-Jukka G-simple-homotopy type and equivariant Hilbert cubes for a finite 
group G. 92k:57035 

Negami, Seiya Branched coverings of PL involutions on 3-manifolds. 92f:57008 


57Q99 None of the above, but in this section 


Cavicchioli, Alberto Finding nice crystallizations for handle free N-manifolds. 92h:57040 

Karalashvili,O. R. Mappings of cubic manifolds into a standard lattice of the Euclidean 
space. (Russian) 92¢e:57037 

Karno, Z. On w-essential mappings onto manifolds. 92d:57016 

Kurzweil, Hans A combinatorial technique for simplicial complexes and some applications 
to finite groups. 92e:57038 

Levitt, Norman The Euler characteristic is the unique locally determined numerical 
homotopy invariant of finite complexes. 92k:57046 


Items with secondary classifications in 57Q99 

Brehm, U. Polyhedral maps with few edges. 92c:05051 

Cerf, J. Homologie des simplexes plongés: une preuve nouvelle du théoréme de Lalonde. 
(English summary) [Homology of embedded simplexes: a new proof of the theorem of 
Lalonde] 92b:57036 

Feng, Zhen Xing Topology of polyhedrons and its applications in finite elements. 
92m:65143 

Gagliardi, Carlo Surface maps and n-dimensional manifolds. 92e:57006 

Gutiérrez, Mauricio A. (with Latiolais, M. P.) Partial homotopy type of finite two- 
complexes. 92h:55007 

Kapranov, M. M. see Voevodskii, V. A., 92h:05031 

Knarr, Norbert The nonexistence of certain topological polygons. 92a:51018 

Kwak, Jin Ho (with Lee, Jaeun) Isomorphism classes of graph bundles. 92a:05094 

Latiolais, M. P. see Gutiérrez, Mauricio A., 92h:55007 

Lee, Jaeun see Kwak, Jin Ho, 92a:05094 

Peng, Yun Invariance of the homology groups of the neighborhood complex of a graph. 
(Chinese summary) 92a:05047 

Rudyak, Yu. B. The problem of the realization of homology classes: from Poincaré to the 
present time. (Russian) 92k:55006 

Stein, Melanie Groups of piecewise linear homeomorphisms. 92k:20075 

Voevodskii, V.A. (with Kapranov, M. M.) The free n-category generated by a cube, 
oriented matroids and higher Bruhat orders. (Russian) 92h:05031 


57Rxx Differential topology {For foundational questions 
of differentiable manifolds, see 58Axx; for infinite- 
dimensional manifolds, see 58Bxx.} 





953 1992 


57R0S5_ Triangulating 


Items with secondary classifications in 57R05 


, Malgorzata Generalized path spaces. II. 92i:58010 
Za&ganescu, M. Chern-Simons fields on Seifert fibred spaces. 92m:81176 


57R10 Smoothing 


Audin, Michele Quelques remarques sur les surfaces lagrangiennes de Givental’. (English 
summary) [Some remarks on the Givental’ Lagrangian surfaces] 92i:57022 

Norton, Alec (with Pugh, Charles) Critical sets in the plane. 92f:57032 

Pugh, Charles see Norton, Alec, 92f:57032 


Items with secondary classifications in 57R10 


Kuga, Ken’ichi A note on Lipschitz distance for smooth structures on noncompact 
manifolds. 92f:57025 


57R12 Smooth approximations 


Items with secondary classifications in 57R12 
Dowker, J.S. see Wolski, A., 92b:17036 


Wolski, A. (with Dowker, J. S.) Area-preserving diffeomorphisms of the tetrahedron. 
92b:17036 


57R15 Specialized structures on manifolds (spin manifolds, 
framed manifolds, etc.) 


Ahara, Kazushi 6-dimensional almost complex S' manifolds with x(M) = 4. 92£:57033 

Baadhio, Randy A. Heterotic superstring gauge residue trivialization via homogeneous CP* 
topology change. 92b:57035 

Bliss, John G. (with Moody, Robert V.; Pianzola, Arturo) Appendix to: “Elliptic genera, 
involutions, and homogeneous spin manifolds” by F. Hirzebruch and P. Slodowy [Geom. 
Dedicata 35 (1990), no. 1-3, 309-343; MR 92a:57028]. 92a:57029 

Chakraborty, Biswajit (with Parthasarathy, Ragavachariar) On generalized spin structures 
on the CP? manifold. 92¢:57022 

Eliashberg, Yakov On symplectic manifolds with some contact properties. 92g:57036 

Hirzebruch, Friedrich (with Slodowy, Peter) Elliptic genera, involutions, and homogeneous 
spin manifolds. 92a:57028 

— see also Bliss, John G.; et al., 92a:57029 

Iglésias, Patrick Les SO(3)-variétés symplectiques et leur classification en dimension 4. 
(English summary) [Symplectic SO(3)-manifolds and their classification in dimension 4] 
92i:57023 

Laudenbach, Francois Bandes caractéristiques. (English summary) [Characteristic ribbons] 
92m:57031 

Moody, Robert V. see Bliss, John G.; et al., 92a:57029 

Parthasarathy, Ragavachariar see Chakraborty, Biswajit, 92c:57022 

Pianzola, Arturo see Bliss, John G.; et al., 92a:57029 

Slodowy, Peter see Hirzebruch, Friedrich, 92a:57028 and Bliss, John G.; et al., 92a:57029 


Items with secondary classifications in 57R15 
Adachi, Masahisa A note on IC-structures. 92£:55020 


Ballico, Edoardo An addendum on: “Algebraic models of smooth manifolds” [Invent. Math. 


97 (1989), no. 3, 585-611; MR 91b:14076] by J. Bochnak and W. Kucharz. 92e:14052 

Bates, Larry M. An exotic symplectic R*. 92m:58040 

(Bochnak, Jacek) see Ballico, Edoardo, 92e:14052 

Crawford, J. P. Clifford algebra: notes on the spinor metric and Lorentz, Poincaré, and 
conformal groups. 92e:15033 

Crumeyrolle, A. Isotropic vector fields on spheres, spinor structures on spheres and 
projective spaces. 92d:57020 

Dal’bo, Francoise Remarques sur les variétés affines munies d’un champ paralléle ou 
radiant. (English summary) [Remarks on affine compact manifolds having a parallel or 
radiant vector field] 92m:57034 

Dedo, Maria (with Giachetti, Riccardo) The Lagrangian Grassmannian L(2). (Italian) 
92k:58080 

Eliashberg, Yakov New invariants of open symplectic and contact manifolds. 92c:58030 

Farsi, Carla K-th ical index th for good orbifolds. 92j:58102 

Ferrara, Sergio Three-dimensional duality and hypermultiplet self-interactions on Calabi- 
Yau vacua. 92h:81126 

Fischer, Thomas Georg Bert (with Kreck, Matthias) Rohlin invariants, integrality of some 
spectral invariants and bordism of spin diffeomorphisms. 92h:57047 

Floer, Andreas Self-dual conformal structures on /CP?. 92e:53049 

Giachetti, Riccardo see Dedd, Maria, 92k:58080 

Kalashnikov, V. V., Jr. A geometric description of the Fomenko minimax invariants of 
integrable Hamiltonian systems on S?, RP?, S' x S?, T3. (Russian) 92k:58081 

Kreck, Matthias see Fischer, Thomas Georg Bert, 92h:57047 

(Kucharz, Wojciech) see Ballico, Edoardo, 92e:14052 

Lalonde, Francois Quelques invariants topologiques en géométrie symplectique. [Some 
topological invariants in symplectic geometry] 92k:57048 

Lee, Kyung Bai Nielsen numbers of periodic maps on solvmanifolds. 92m:55002 

Lerman, Eugene see Sjamaar, Reyer, 92g:58036 

Mayer, Karl Heinz Group actions on quasi-symplectic manifolds. 92f:57051 

Ochanine, Serge Elliptic genera, modular forms over KO, and the Brown-Kervaire 
invariant. 92a:57031 

Sjamaar, Reyer (with Lerman, Eugene) Stratified symplectic spaces and reduction. 
92g:58036 





Stolz, Stephan Simply connected manifolds of positive scalar curvature. 92a:53061 


57R Differential topology 


57R19 Algebraic topology on manifolds 


Cerf, J. Homologie des simplexes plongés: une preuve nouvelle du théoréme de Lalonde. 
(English summary) [Homology of embedded simplexes: a new proof of the theorem of 
Lalonde] 92b:57036 

Glazebrook, James F. (with Verjovsky, Alberto) Residual circuits in generalized monoidal 
transformations. 92f:57034 

Hu, Bi Zhong A vanishing result for Whitehead groups. 92k:57047 

Kalashnikov, V. V., Jr. Description of the structure of Fomenko invariants on the boundary 
and inside Q-domains, estimates of their number on the lower boundary for the manifolds 
S3, RP?, S' x S?, and T3. 92m:57032 

Kreck, Matthias (with Triantafillou, Georgia) On the classification of manifolds up to finite 
ambiguity. 92h:57041 

Triantafillou, Georgia see Kreck, Matthias, 92h:57041 

Verjovsky, Alberto see Glazebrook, James F., 92f:57034 


Items with secondary classifications in 57R19 

Abramov, Viktor Anatol/evich On the geometric approach to topological quantum field 
theory. (Russian summary) 92a:58025 

Cappell, Sylvain E. (with Weinberger, Shmuel) A simple construction of Atiyah-Singer 
classes and piecewise linear transformation groups. 92k:57064 

Chern, Shiing Shen Transgression in associated bundles. 92g:53019 

Cordero, Luis A. Holomorphic principal torus bundles, curvature and compact complex 
nilmanifolds. 92b:53111 

— (with Fernandez, Marisa Luisa; Gray, Alfred) The Frélicher spectral sequence for 
compact nilmanifolds. 92b:53112 

Fernandez, Marisa Luisa see Cordero, Luis A.; et al., 92b:53112 

Fintushel, Ronald (with Stern, Ronald John) Homotopy K3 surfaces containing £(2, 3, 7). 
92g:57037 

Ginzburg, V. A. Perverse sheaves and C*-actions. 92d:14013 

Gray, Alfred see Cordero, Luis A.; et al., 92b:53112 

Halperin, Stephen (with Vigué-Poirrier, Micheline) The homology of a free loop space. 
92e:55012 

Kirk, Paul (with Koschorke, Ulrich) Generalized Seifert surfaces and linking numbers. 
92h:57038 

Koschorke, Ulrich see Kirk, Paul, 92h:57038 

Monar, D. (with Montesdeoca, A.) Topology of manifolds with almost contact 3-structures. 
(Spanish) (see 92g:00024) 

Montesdeoca, A. see Monar, D., (92g:00024) 

Pansu, Pierre Cohomologie L” des variétés 4 courbure négative, cas du degré 1. [L?- 
cohomology of negatively curved manifolds: the degree 1 case] 92e:58200 

Salvetti, Mario A lower bound for the number of differentiable structures on 4-manifolds. 
(Italian summary) 92b:57042 

Sarychev, A. V. Homotopy properties of the space of trajectories of a completely nonholo- 
nomic differential system. (Russian) 92d:58026 

Stern, Ronald John see Fintushel, Ronald, 92g:57037 

Vigué-Poirrier, Micheline see Halperin, Stephen, 92e:55012 

Weinberger, Shmuel see Cappell, Sylvain E., 92k:57064 


57R20 Characteristic classes and numbers 


Alamo, N. Massey products as obstructions to compact Lie group actions on principal 
bundles. (see 92b:00044) 

Audin, Michéle La classe de Maslov, encore. ... [The Maslov class, again. ..] (see 
92b:53001) 

Cappell, Sylvain E. (with Shaneson, Julius L.; Weinberger, Shmuel) Classes topologiques 
caractéristiques pour les actions de groupes sur les espaces singuliers. (English summary) 
[Topological characteristic classes for group actions on singular spaces] 92f:57035 

— (with Weinberger, Shmuel) Classification de certains espaces stratifiés. (English 
summary) [The classification of some stratified spaces] 92h:57042 

Crabb, M.C. On the KOz,2-Euler class. I, II. 92k:57057a 

Fintushel, Ronald (with Stern, Ronald John) Homotopy K3 surfaces containing £(2, 3, 7). 
92g:57037 

Kim, Hyuk (with Lee, Hyunkoo) The Euler characteristic of a certain class of projectively 
flat manifolds. 92h:57043 

Kim, In Su see Lee, Hong Jae 

Koonce, Alexander E. Relations among generalized characteristic classes. 92g:57038 

Lalonde, Francois Quelques invariants topologiques en géométrie symplectique. [Some 
topological invariants in symplectic geometry] 92k:57048 

Lee, Hong Jae (with Kim, In Su) A note on bordism Stiefel-Whitney and Pontrjagin 
numbers. 

Lee, Hyunkoo see Kim, Hyuk, 92h:57043 

Little, Robert D. The Pontrjagin class of a homotopy complex projective space. 92a:57030 

Matsui, Akinori Stiefel-Whitney homology classes and odd maps. 92e:57039 

Meyerhoff, Robert (with Neumann, Walter D.) An asymptotic formula for the eta 
invariants of hyperbolic 3-manifolds. 92k:57049 

Minakawa, Hiroyuki Examples of exceptional homomorphisms which have nontrivial Euler 
numbers. 92d:57017 

Neumann, Walter D. see Meyerhoff, Robert, 92k:57049 

Niglio, Louis Classes caractéristiques d’un couple de sous-fibrés isotropes. (English 
summary) [Characteristic classes of a couple of isotropic subbundles] 92h:57044 

Ochanine, Serge Elliptic genera, modular forms over KO, and the Brown-Kervaire 
invariant. 92a:57031 

Shaneson, Julius L. see Cappell, Sylvain E.; et al., 92f:57035 

Stern, Ronald John see Fintushel, Ronald, 92g:57037 

Trofimov, V. V. Symplectic connections and Maslov-Arnol'd characteristic classes. 
92m:57033 

— Connections on manifolds and new characteristic classes. 92i:57024 

— The holonomy group and generalized Maslov classes of submanifolds in spaces with affine 
connection. (Russian) 92j:57016 





57R20 


Voronov, F. F. Characteristic classes of infinite-dimensional vector bundles. (Russian) 
92i:57025 

Weinberger, Shmuel see Cappell, Sylvain E.; et al., 92£:57035 and 92h:57042 

Wa, Guang Lei On the Pontrjagin classes of a submanifold. 92:57036 

Yang, Hua Jian Immersions of n-manifold in R2"-*")-! up to cobordism. 924:57018 

Yasui, Tsutomu k-mersions and k-morphisms. 92j:57017 


Items with secondary classifications in 57R20 

Apanasov, B. N. Kobayashi conformal metric on manifolds, Chern-Simons and n- 
invariants. 92f:58027 

Atiyah, Michael Francis (with Jeffrey, L.) Topological Lagrangians and cohomology. 
92:58025 

Bejan, Cornelia-Livia F-characteristic classes. 92k:53053 

Bendersky, Martin Applications of the Ochanine genus. 92a:55007 

Bismut, Jean-Michel (with Cheeger, Jeff) Transgression de la classe d’Euler de SL(2n, Z)- 
fibrés vectoriels, limites adiabatiques d’invariants éta, et valeurs spéciales de fonctions 
L. (English summary) [Transgression of the Euler class of SL(2n, Z)-vector bundles, 
adiabatic limits of eta invariants, and special values of L-functions] 92e:55016 

Bruzzo, Ugo (with Hernandez Ruipérez, Daniel) A theory of Chern classes for super vector 
bundies. 92k:58016 

Cheeger, Jeff see Bismut, Jean-Michel, 92e:55016 

Connes, Alain (with Moscovici, Henri) Cyclic cohomology, the Novikov conjecture and 
hyperbolic groups. 92a:58137 

Dominguez, Demetrio On the linear independence of certain cohomology classes in the 
classifying space for subfoliations. 92e:57045 

Elkik, R. Métriques sur les fibrés d’intersection. [Metrics on intersection bundles] 
92b:14012 

Fedosov, B. V. Deformation quantization and asymptotic operator representation. 
(Russian) 92k:58267 

Fu, Joseph H. G. On Verdier’s specialization formula for Chern classes. 92k:32073 

Glazebrook, James F. (with Verjovsky, Alberto) Residual circuits in generalized monoidal 
transformations. 92f:57034 

Godbillon, Claude Une construction nouvelle des classes caractéristiques des feuilletages. 
(English summary) [A new construction of the characteristic classes of foliations] 
92b:57038 

de Gosson, Maurice Maslov indices on the metaplectic group Mp(). (French summary) 
92e:22027 

Hernandez Ruipérez, Daniel see Bruzzo, Ugo, 92k:58016 

Jeffrey, L. see Atiyah, Michael Francis, 92f:58025 

Kim, Hong-Jong Generalized connections and characteristic classes. 92i:53022 

Kim, Sung Sook Characteristic numbers and group actions. 92k:57066 

Kono, Akira! A note on the homotopy type of certain gauge groups. 92b:55005 

Kotschick, D. SO(3)-invariants for 4-manifolds with b} = 1. 92m:57040 

Kreck, Matthias (with Stolz, Stephan) Some nondiffeomorphic homeomorphic homoge- 
neous 7-manifolds with positive sectional curvature. 92d:53043 

Law, Peter R. Pseudo-Riemannian metrics and Hirzebruch signature. 92f:58006 

Lehmann, Daniel Variétés stratifiées C™: intégration de Cech-de Rham, et théorie de 
Chern-Weil. [C~ stratified manifolds: Cech-de Rham integration and Chern-Weil theory] 
92a:58007 

— Résidus des sous-variétés invariantes d’un feuilletage singulier. (English summary) 
[Residues of invariant submanifolds of a singular foliation] 92k:57054 

Matsushita, Yasuo Fields of 2-planes and two kinds of almost complex structures on 
compact 4-dimensional manifolds. 92h:57046 

Moscovici, Henri see Connes, Alain, 92a:58137 

Salvetti, Mario A lower bound for the number of differentiable structures on 4-manifolds. 
(Italian summary) 92b:57042 

Sankaran, Parameswaran Orientability of vector bundles and formulae for Stiefel-Whitney 
classes. 92f:55019 

Shapiro, B. Z. (with Vainshtein, A. D.) Euler characteristics for links of Schubert cells in 
the space of complete flags. 92a:14059 

Shi, He The equalities of the Chern classes. 92f:14004 

Singh, Neeta On topological and homotopy invariance of integral Pontrjagin classes modulo 
a prime p. 92:55023 

Stolz, Stephan see Kreck, Matthias, 92d:53043 

Teleman, Nicolae The algebra of piecewise differentiable currents on smooth manifolds. 
92h:58005 

— Characteristic classes of piecewise differentiable affine connections on smooth manifolds. 
92h:58006 

Vainshtein, A. D. see Shapiro, B. Z., 92a:14059 

Vaisman, Izu The Maslov class in a Riemannian phase space. 92k:58089 

Vasil’ev, V. A. Characteristic classes of singularities. (Russian) (see 92f:58004) 

Verjovsky, Alberto see Glazebrook, James F., 92f:57034 

Vinogradov, A. M. Scalar differential invariants, diffieties and characteristic classes. 
92e:58244 

Wa, Siye Topological quantum field theories on manifolds with a boundary. 924:58214 

Yeung, Sai-Kee Integrality of characteristic numbers on complete Kahler manifolds. 
92b:32015 


57R22 Topology of vector bundles and fiber bundles 
[see also SSRxx] 


Lin, Wén Hsiung A structure theorem on Grassmann manifolds. 92d:57019 
Nicas, Andrew J. Classifying pairs of Lagrangians in a Hermitian vector space. 92j:57018 


Items with secondary classifications in 57R22 


Bismut, Jean-Michel (with Cheeger, Jeff) Transgression de la classe d’Euler de SL(2n, Z)- 
fibrés vectoriels, limites adiabatiques d’invariants éta, et valeurs spéciales de fonctions 
L. (English summary) [Transgression of the Euler class of SL(2n, Z)-vector bundles, 
adiabatic limits of eta invariants, and special values of L-functions] 92¢:55016 


MANIFOLDS AND CELL COMPLEXES 


1992 954 


Cabras, Antonella (with Kolat, Ivan; Modugno, Marco) General structured bundles. 
92m:18015 

Cheeger, Jeff see Bismut, Jean-Michel, 92e:55016 

Hughes, C. Bruce (with Taylor, Laurence R.; Williams, E. Bruce) Manifold approximate 
fibrations are approximately bundles. 92k:57040 

Isham, C. J. Square root of the Euler class: nowhere-vanishing spinors and spacetime 
topology. 92e:57047 

Kolaf, Ivan see Cabras, Antonella; et al., 92m:18015 

Modugno, Marco see Cabras, Antonella; et al., 92m:18015 

Muta, Masanori (with Shibuya, Ken-ichi; Umeno, Takashi) Complex analytic fibre bundles 
over C” x P™. 924:32039 

Phillips, Anthony V. (with Stone, David A.) An algorithm for detecting abelian monopoles 
in SU2-valued lattice gauge-Higgs systems. 92h:81113 

Ryzhov, A. B. (with Savinkov, A. G.) Discrete symmetries of monopole bundles. 
92k:81113 

Savinkov, A. G. see Ryzhov, A. B., 92k:81113 

Shibuya, Ken-ichi see Muta, Masanori; et al., 92d:32039 

Stone, David A. see Phillips, Anthony V., 92h:81113 

Taylor, Laurence R. see Hughes, C. Bruce; et al., 92k:57040 

Umeno, Takashi see Muta, Masanori; et al., 92d:32039 

Williams, E. Bruce see Hughes, C. Bruce; et al., 92k:57040 


57R25 Vector fields, frame fields 


Crumeyrolle, A. Isotropic vector fields on spheres, spinor structures on spheres and 
projective spaces. 92d:57020 


Dal’bo, Francoise Remarques sur les variétés affines munies d’un champ paralléle ou 


radiant. (English summary) [Remarks on affine compact manifolds having a parallel or 
radiant vector field} 92m:57034 

Flegmann, A. M. Obstructions to the existence of parallels to a submanifold of Euclidean 
space. (French summary) 92h:57045 

Matsushita, Yasuo Fields of 2-planes and two kinds of almost complex structures on 
compact 4-dimensional manifolds. 92h:57046 

Ng, Tze Beng On the geometric dimension of vector bundles, span of a manifold and 
immersion of manifolds in manifolds. 92e:57040 

Plante, J. F. Elementary zeros of Lie algebras of vector fields. 92e:57041 

Sohn, Moo Young Span of product Dold manifolds. 92d:57021 


Items with secondary classifications in 57R25 


Becker, James C. (with Gottlieb, Daniel Henry) Vector fields and transfers. 92k:55025 

Crabb, M.C. The Fuller index and T-equivariant stable homotopy theory. 92e:55001 

Gottlieb, Daniel Henry see Becker, James C., 92k:55025 

Kossowski, Marek The asymptotic blow-up of a surface in Euclidean 3-space. 92k:53008 

Moulin Ollagnier, Jean (with Strelcyn, Jean-Marie) On first integrals of linear systems, 
Frobenius integrability theorem and linear representations of Lie algebras. 92a:58005 

Ng, Tze Beng Nine-fields on manifolds. 92b:55023 

Pulido Cejudo, Javier An equation of contact vector fields and commutators of contact 
diffeomorphisms. 92e:53043 

Strelcyn, Jean-Marie see Moulin Ollagnier, Jean, 92a:58005 


57R27 Controllability of vector fields on C™ and real-analytic 
manifolds [see also 49Qxx, 58F40, 93B05] 


Sontag, Eduardo D. Integrability of certain distributions associated with actions on 
manifolds and applications to control problems. 92e:57042 


Items with secondary classifications in 57R27 


Hermes, Henry Nilpotent and high-order approximations of vector field systems. 92¢:93006 

Liverovskii, A. A. (with Petrov, Nikolai Nikolaevich) Some differential-topological 
problems in control theory. (Russian) 92m:93013a 

— (with Petrov, Nikolai Nikolaevich) Letter to the editors: “Some differential-topological 
problems in control theory”. (Russian) 92m:93013b 

Petrov, Nikolai Nikolaevich see Liverovskii, A. A., 92m:93013a and 92m:93013b 


57R30 Foliations; geometric theory 


Alvarez Lépez, Jestis A. A decomposition theorem for the spectral sequence of Lie 
foliations. 92e:57043 

Andrzejczak, Grzegorz A semi-simplicial approach to foliations and their transverse 
structure. 92k:57050 

Arraut, J. L. (with Moreira dos Santos, Nathan) Linear foliations of 7". 92m:57035 

Bonatti, Christian Stabilité de feuilles compactes pour les feuilletages définis par des 
fibrations. [Stability of compact leaves for foliations defined by fibrations] 92b:57037 

— (with Haefliger, André) Déformations de feuilletages. [Deformations of foliations] 
92k:57051 

Brylinski, Jean-Luc Noncommutative Ruelle-Sullivan type currents. 92e:57044 

Cantwell, John (with Conlon, Lawrence) Correction to: “Leafwise hyperbolicity of 
proper foliations” [Comment. Math. Helv. 64 (1989), no. 2, 329-337; MR 90f:57035]. 
92k:57052 

— (with Conlon, Lawrence) Depth of knots. 92k:57053 

Conlon, Lawrence see Cantwell, John, 92k:57052 and 92k:57053 

Fukui, Kazuhiko Stability of foliations of 4-manifolds by Klein bottles. 92¢:57023 

Ghys, Etienne Flots transversalement affines et tissus feuilletés. [Transversally affine flows 
and foliated webs] 92i:57026 

Godbillon, Claude Une construction nouvelle des classes caractéristiques des feuilletages. 
(English summary) [A new construction of the characteristic classes of foliations] 
92b:57038 

Grimaldi, Renata Géométrie asymptotique et neeuds fibrés. (English summary) [Asymptotic 
geometry and fibered knots] 92c:57024 





955 1992 


Haefliger, André (with Salem, Eliane) Riemannian foliations on simply connected 
manifolds and actions of tori on orbifolds. 92c:57025 

— see also Bonatti, Christian, 92k:57051 

Hector, Gilbert (with Hirsch, Ulrich) * Introduction to the geometry of foliations. Part B. 
92£:57037 

Hirsch, Ulrich see Hector, Gilbert, 92f:57037 

Lehmann, Daniel Résidus des sous-variétés invariantes d’un feuilletage singulier. (English 
summary) [Residues of invariant submanifolds of a singular foliation] 92k:57054 

Macias, Enrique (with Sanmartin Carbon, Esperanza) Foliation of a Lie group defined by a 
Lie subgroup. (Spanish. English summary) (see 92m:00050) 

Matsumoto, Shigenori (with Sato, Atsushi) Flows and transverse foliations. 92c:57026 

Minakawa, Hiroyuki Transversely piecewise linear foliation by planes and cylinders; PL 
version of a theorem of E. Ghys. 92m:57036 

— Piecewise linear homeomorphisms of a circle and foliations. 92c:57027 

Miyoshi, Shigeaki Existence of Sullivan’s vanishing cycles in codimension-one foliations. 
92i:57027 

Moreira dos Santos, Nathan see Arraut, J. L., 92m:57035 

Nakayama, Hiromichi Transversely affine foliations of some surface bundles over S' of 
pseudo-Anosov type. (French summary) 92k:57055 

Piatkowski, Andrzej Reeb stability for nonsingular foliations derived from that for singular 
ones. (Polish summary) 92g:57039 

Salem, Eliane see Haefliger, André, 92c:57025 

Sanmartin Carbon, Esperanza see Macias, Enrique, (92m:00050) 

Sato, Atsushi see Matsumoto, Shigenori, 92c:57026 

Schweitzer, Paul A. Existence of codimension one foliations with minimal leaves. 
92g:57040 

Solodov, V. V. Pregroups and foliations. (Russian) 92f:57038 

Suzuki, Haruo Holonomy groupoids of generalized foliations. II. Transverse measures and 
modular classes. 92f:57039 

Tong Van-Du’c Une caractérisation du fibré transverse. (English summary) [A characteriza- 
tion of the transverse bundle] 92m:57037 

Tsuboi, Takashi On the Hurder-Katok extension of the Godbillon-Vey invariant. 92d:57022 

Tsuchiya, Nobuo On elementary transversely affine foliations. II. 92a:57032 


Items with secondary classifications in 57R30 

Alvarez Lopez, Jestis A. On Riemannian foliations with minimal leaves. (French summary) 
92a:53038 

Andrade, Placido (with Pereira, Maria do Socorro) On the cohomology of one-dimensional 
foliated manifolds. 92k:58209 

Aso, Kazutoshi (with Yorozu, Shinsuke) A generalization of Clairaut’s theorem and umbilic 
foliations. 92m:53047 

Barbosa, J. L.M. (with Kenmotsu, K.; Oshikiri, Gen-ichi) Foliations by hypersurfaces with 
constant mean curvature. 92b:53034 

Barone, Fiorella (with Grassini, R.) Reduction and residuals of dynamical systems. 
92h:58060 

Bis, Andrzej Entropy of transverse foliations. (Polish summary) 92f:58133 

Bonahon, Francis Earthquakes on Riemann surfaces and on measured geodesic laminations. 
92£:57021 

Connes, Alain Introduction a la géométrie non-commutative. [Introduction to noncommu- 
tative geometry] 92e:58017 

EI Kacimi-Alaoui, Aziz Examples of foliations and problems in transverse complex analysis. 
92k:58211 

— Opérateurs transversalement elliptiques sur un feuilletage riemannien et applications. 
(English summary) [Transversely elliptic operators on a Riemannian foliation, and 
applications] 92k:58259 

Farrell, F. T. (with Jones, Lowell Edwin) Foliated control without radius of injectivity 
restrictions. 92d4:57025 

Froelich, John Operator algebras and differential topology. (see 92d:00034) 

Gabai, David 1-bridge braids in solid tori. 92b:57011 

Girbau, J. (with Guasp, G.) Deformations of transversely symplectic and transversely 
contact foliations. 92j:32071 

Gémez-Mont, Xavier (with Lins Neto, Alcides) Structural stability of singular holomorphic 
foliations having a meromorphic first integral. 92j:32114 

Grassini, R. see Barone, Fiorella, 92h:58060 

Guasp, G. see Girbau, J., 92j:32071 

Hardt, R. (with Rosenberg, Harold) Open book structures and unicity of minimal 
submanifolds. (French summary) 92e:53009 

Hebda, James J. An example relevant to curvature pinching theorems for Riemannian 
foliations. 92c:53015 

Heitsch, James L. (with Lazarov, Connor) Homotopy invariance of foliation Betti 
numbers. 92b:58219 

— (with Lazarov, Connor) Rigidity theorems for foliations by surfaces and spin manifolds. 
92b:58220 

Hurder, Steven (with Katok, Anatole) Differentiability, rigidity and Godbillon-Vey classes 
for Anosov flows. 92b:58179 

Inaba, Takashi (with Matsumoto, Shigenori) Nonsingular expansive flows on 3-manifolds 
and foliations with circle prong singularities. 92e:58153 

Ito, Toshikazu Transversality of linear holomorphic vector field on C”. 92i:32042 

Jones, Lowell Edwin see Farrell, F. T., 92d:57025 

Katok, Anatole see Hurder, Steven, 92b:58179 

Kenmotsu, K. see Barbosa, J. L. M.; et al., 92b:53034 

Koike, Naoyuki Foliations on a Riemannian manifold and Ehresmann connections. 
924:53028 

Kubarski, Jan About Stefan’s definition of a foliation with singularities: a reduction of the 
axioms. (French summary) 92j:58080 

Labourie, Francois Probleme de Minkowski dans les variétés hyperboliques et courbes 
pseudo-holomorphes. [The Minkowski problem in hyperbolic manifolds and pseudoholo- 
morphic curves] 92c¢:53025 

Lazarov, Connor see Heitsch, James L., 92b:58219 and 92b:58220 

Li, Zhi-Bo Harmonic foliations on the sphere. 92m:53048 


57R Differential topology 


57R35 


Lins Neto, Alcides see Gémez-Mont, Xavier, 92j:32114 

Masur, Howard (with Smillie, John) Hausdorff dimension of sets of nonergodic measured 
foliations. 92j:58081 

Matsumoto, Shigenori (with Sato, Atsushi) Perturbation of the Hopf flow and transverse 
foliations. 92h:58154 

— see also Inaba, Takashi, 92e:58153 

Matuszezyk, Hanna On generalized foliations with locally connected leaves. 92a:58008 

McCullough, Darryl Virtually geometrically finite mapping class groups of 3-manifolds. 
92c:57001 

Miernowski, Andrzej (with Mozgawa, Witold) On Molino lifting of Riemannian vector 
fields. 92a:53039 

Min-Oo, Maung (with Ruh, Ernst A.; Tondeur, Philippe) A comparison theorem for almost 
Lie foliations. 92e:53037 

— (with Ruh, Ernst A.; Tondeur, Philippe) Vanishing theorems for the basic cohomology of 
Riemannian foliations. 92b:58218 

Molino, Pierre Feuilletages presque-isométriques et structures de Poisson-Riemann. 
[Almost isometric foliations and Poisson-Riemann structures] 92k:53050 

— La géométrie différentielle des feuilletages dans I’ceuvre de B. Reinhart. [The differential 
geometry of foliations in the works of B. Reinhart] 92h:01072b 

Morgan, John Willard (with Shalen, Peter B.) Free actions of surface groups on R-trees. 
92e:20016 

— A-trees and their applications. 92e:20017 

Mosher, Lee Correction to: “Equivariant spectral decomposition for flows with a Z- 
action” [Ergodic Theory Dynamical Systems 9 (1989), no. 2, 329-378; MR 90j:58117]. 
92h:58155 

Mozgawa, Witold see Miernowski, Andrzej, 92a:53039 

Nakayama, Hiromichi On cutting pseudo-foliations along incompressible surfaces. 
92h:57019 

Ohshika, Ken’ichi Minimal measured laminations in geometric 3-manifolds. 92a:57021 

Oshikiri, Gen-ichi Mean curvature functions of codimension-one foliations. II. 92m:53049 

— see also Barbosa, J. L. M.; et al., 92b:53034 

Pereira, Maria do Socorro see Andrade, Placido, 92k:58209 

Pincus, J.D. The principal index. 92f:47037 

(Reinhart, Bruce L.) see Molino, Pierre, 92h:01072b 

Rosenberg, Harold see Hardt, R., 92e:53009 

Rovenskii, V. Yu. Totally geodesic foliations with an orthogonal distribution that is close to 
integrable. (Russian) 92k:53051 

Ruh, Ernst A. see Min-Oo, Maung; et al., 92b:58218 and 92e:53037 

Sato, Atsushi see Matsumoto, Shigenori, 92h:58154 

Senn, W. Uber Mosers regularisiertes Variationsproblem fiir minimale Blatterungen des n- 
dimensionalen Torus. (English summary) [On Moser’s regularized variational problem 
for minimal foliations of the n-dimensional torus] 92f:58042 

Shalen, Peter B. see Morgan, John Willard, 92e:20016 

Smillie, John see Masur, Howard, 92j:58081 

Takai, Hiroshi On the Baum-Connes conjecture. 92¢:19004 

Tanemura, T. see Yorozu, Shinsuke, 92e:53039 

Thorbergsson, Gudlaugur Isoparametric foliations and their buildings. 92d:53053 

Tondeur, Philippe (with Vanhecke, Lieven) Transversally symmetric Riemannian 
foliations. 92e:53038 

— see also Min-Oo, Maung; et al., 92b:58218 and 92e:53037 

Téng Van-Diu’c Relévements dans le fibré transverse d’un feuilletage d’une variété 
riemannienne. [Liftings in the transverse bundle of a foliation of a Riemannian manifold] 
924:53029 

Turiel, Francisco-Javier Quelques exemples de couples de formes symplectiques compati- 
bles sur des variétés 4-compactes. (English summary) [Some examples of pairs of compat- 
ible symplectic forms on compact 4-manifolds] 92h:53041 

Vaisman, Izu Foliate partial holomorphic structures on principal bundles. 92i:58207 

Vanhecke, Lieven see Tondeur, Philippe, 92e:53038 

Walczak, Pawel G. On quasi-Riemannian foliations. 92m:53050a 

— Erratum to the paper: “On quasi-Riemannian foliations”. 92m:53050b 

Waliszewski, Wiodzimierz On foliations with coregular factor mapping. 92e:58010 

Wu, Ying Qing Essential laminations in surgered 3-manifolds. 92k:57022 

Yorozu, Shinsuke (with Tanemura, T.) Green’s theorem on a foliated Riemannian 
manifold and its applications. 92e:53039 

— see also Aso, Kazutoshi, 92m:53047 

Zhukova, N. I. Global stability of foliations with second-order differential equations on 
leaves. (Russian) 92e:58160 


57R32 Classifying spaces for foliations; Gel/fand-Fuks 
cohomology [see also 58H10] 


Dominguez, Demetrio On the linear independence of certain cohomology classes in the 
classifying space for subfoliations. 92e:57045 

Hu, Shou-Jen Equivariant homotopy and integrability. 92¢:57028 

Moerdijk, Ieke Classifying toposes and foliations. (French summary) 92i:57028 


Items with secondary classifications in 57R32 

Brown, Edgar H. (with Szczarba, Robert H.) Continuous cohomology and real homotopy 
type. II. 92d:55004 

Jekel, Solomon M. A spectral sequence for pseudogroups on R. 92m:58156 

Szezarba, Robert H. see Brown, Edgar H., 92d:55004 

Vaisman, Izu Remarks on the Lichnerowicz-Poisson cohomology. (French summary) 
92c:58155 


57R35 Differentiable mappings 


Mata-Lorenzo, Luis E. Polyhedrons and pi-stable homotopies from 3-manifolds into the 
plane. 92j:57019 





57R35 


Items with secondary classifications in 57R35 

Bazzani, Armando (with Remiddi, E.; Turchetti, Giorgio) Variational approach to the 
integrals of motion for symplectic maps. 92a:58042 

Remiddi, E. see Bazzani, Armando; et al., 92a:58042 

Turchetti, Giorgio see Bazzani, Armando; et al., 92a:58042 


57R40 Embeddings 


de Carvalho, F. J. Craveiro (with Robertson, S. A.) A correction to: “A note on equichordal 
graphs” [Portugal. Math. 45 (1988), no. 4, 363-368; MR 90c:57023]. 92d:57023 

Gan, Dan Yan (with Guo, Jian Han) Smooth embeddings of 2-spheres in manifolds. 
92a:57033 

— Ona problem of Whitney. (Chinese summary) 92b:57039 

Guo, Jian Han see Gan, Dan Yan; et al., 92a:57033 

Junod, Bernard Quelq ésultats de non-i sion des formes sphériques quaternion- 
iques. (English summary) [Some nonimmersion results for quaternionic spherical forms] 
92i:57029 

Lee, Youn W. Handle attaching on generic maps. II. 92k:57056 

Robertson, S. A. see de Carvalho, F. J. Craveiro, 92d:57023 


Items with secondary classifications in 57R40 

Bialy, Misha On the number of caustics for invariant tori of Hamiltonian systems with two 
degrees of freedom. 92h:58062 

Fang, Yi (with Meeks, William H., III) Some global properties of complete minimal 
surfaces of finite topology in R?. 92g:53008 

Kirk, Paul (with Koschorke, Ulrich) Generalized Seifert surfaces and linking numbers. 
92h:57038 

Koschorke, Ulrich see Kirk, Paul, 92h:57038 

Magiropoulos, Manolis On spaces of equivariant isomorphisms. 92i:55014 

Meeks, William H., III see Fang, Yi, 92g:53008 

Maller, Marie-Paule Une structure symplectique sur R® avec une sphére lagrangienne 
plongée et un champ de Liouville complet. [A symplectic structure in R® with an 
embedded Lagrangian sphere and a complete Liouville field] 92¢:58038 

Scharlemann, Martin G. Handlebody complements in the 3-sphere: a remark on a theorem 
of Fox. 92j:57004 

Sziics, Andras On the cobordism groups of immersions and embeddings. 92h:57052 





57R42 Immersions 


Boudriga, Nouredine (with Zarati, Said) Points multiples isolés d’immersions de codimen- 
sion quatre. (English summary) [Isolated multiple points of codimension-four immer- 
sions] 92b:57040 

Crabb, M.C. Immersing projective spaces in Euclidean space. 92k:57057b 

Li, Bang He (with Li, Gui Song) Bounding immersion classes of codimension one. 
92m:57038 

Li, Gui Song On existence of higher order immersions. 92k:57058 

— On immersions in bordism classes. 92g:57041 

— see also Li, Bang He; et al., 92m:57038 

Sziics, Andrés On multiple points of odd multiplicity of immersions of odd codimensions. 
92a:57034 

Tang, Zi Zhou Bi-Z; equivariant maps between spheres. 92k:57059 

Zarati, Said see Boudriga, Nouredine, 92b:57040 


Items with secondary classifications in 57R42 


Beltagy, M. Isometric immersion into manifolds without focal points. 92m:53101 

Flegmann, A. M. Obstructions to the existence of parallels to a submanifold of Euclidean 
space. (French summary) 92h:57045 

Kossowski, Marek The asymptotic blow-up of a surface in Euclidean 3-space. 92k:53008 

Li, Bang He (with Li, Gui Song) Codimension one or two immersions and submersions of 
low-dimensional manifolds. 92d:55023 

Li, Gui Song see Li, Bang He; et al., 92d:55023 

Minsky, Yair N. Harmonic maps into hyperbolic 3-manifolds. 92j:58027 

Ng, Tze Beng On the geometric dimension of vector bundles, span of a manifold and 
immersion of manifolds in manifolds. 92e:57040 

Szfics, Andrés On the cobordism groups of immersions and embeddings. 92h:57052 

Weiner, Joel L. Flat tori in S? and their Gauss maps. 924:53057 


57R45 Singularities of differentiable mappings 


Asvad, Kh. Linear independence of Morse functions on manifolds. (Russian. Ukrainian 
summary) 92¢:57046 

Cappell, Sylvain E. (with Shaneson, Julius L.) Stratifiable maps and topological invariants. 
92d:57024 

Klein, John R. Coordinate free Morse theory. 92¢:57029 

Mikhailyuk, E. A. Z,-free chain complexes and inequalities for numbers of critical points of 
Morse functions on some non-simply connected manifolds. (Russian) 92f:57040 

Shaneson, Julius L. see Cappell, Sylvain E., 92d:57024 

Vasil’ev, V. A. Characteristic classes of singularities. (Russian) (see 92f:58004) 


Items with secondary classifications in 57R45 

Ando, Yoshifumi On local structures of the singularities A, D, and E;, of smooth maps. 
92h:58027 

Arnold, V. I. * The theory of singularities and its applications. 92i:58020 

Bruce, J. W. (with Giblin, P.J.) Families of spheres (and circles). 92b:58027 

Fomenko, A. T. A new topological invariant of topological Hamiltonian systems of 
differential equations and applications to problems in physics and mechanics. 92i:58057 

Giblin, P. J. see Bruce, J. W., 92b:58027 

Ishikawa, Goo Maslov class of an isotropic map-germ arising from one-dimensional 
symplectic reduction. 92a:58046 

Janeczko, Stanislaw Singularities of Lagrangian varieties and related topics. 92m:58013 


MANIFOLDS AND CELL COMPLEXES 


1992 956 


Levine, Harold I. Stable mappings of 3-manifolds into the plane. 92b:58029 

Montaldi, James Caustics in time reversible Hamiltonian systems. 92k:58033 

Muller, Marie-Paule Une structure symplectique sur R® avec une sphére lagrangienne 
plongée et un champ de Liouville complet. [A symplectic structure in R® with an 
embedded Lagrangian sphere and a complete Liouville field] 92c:58038 

Pan, Yi Biao (with Sogge, Christopher D.) Oscillatory integrals associated to folding 
canonical relations. 92e:58210 

Pignoni, Roberto Curves and surfaces in real projective spaces: an approach to generic 
projections. 92e:14055 

Siersma, Dirk Variation mappings on singularities with a 1-dimensional critical locus. 
92e:32022 

Sogge, Christopher D. see Pan, Yi Biao, 92e:58210 

Tari, F. Projections of piecewise-smooth surfaces. 92i:58025 

Vershik, A.M. On topological questions of real complexity theory and combinatorial 
optimization [in Topological and geometric methods of analysis (Russian), 58-74, 
Voronezh. Gos. Univ., Voronezh, 1989; 91j:52001]. (see 92b:58001) 

Wall, C. T. C. Survey of recent results on singularities of equivariant maps. 92e:58027 


57R50 Diffeomorphisms 


Fischer, Thomas Georg Bert (with Kreck, Matthias) Rohlin invariants, integrality of some 
spectral invariants and bordism of spin diffeomorphisms. 92h:57047 

Iglésias, Patrick (with Lachaud, Gilles) Espaces différentiables singuliers et corps de 
nombres algébriques. (English summary) [Singular differentiable spaces and algebraic 
number fields] 92j:57020 

Kreck, Matthias see Fischer, Thomas Georg Bert, 92h:57047 

Lachaud, Gilles see Iglésias, Patrick, 92j:57020 

McDuff, Dusa Blow ups and symplectic embeddings in dimension 4. 92m:57039 

Netsvetaev, N. Yu. Diffeomorphism and stable diffeomorphism of simply connected 
manifolds. (Russian) 92f:57041 


Items with secondary classifications in 57R50 


Albertin, Uwe K. The diffeomorphism group and flat principal bundles. 92k:22032 

Bauer, Max An upper bound for the least dilatation. 92g:57024 

— Examples of pseudo-Anosov homeomorphisms. 92g:57025 

Boileau, Michel (with Otal, Jean-Pierre) Scindements de Heegaard et groupe des 
homéotopies des petites variétés de Seifert. [Heegaard splittings and homeotopy group of 
small Seifert manifolds] 92i:57014 

Cervera Mateu, Vicente A decomposition of volume-preserving diffeomorphisms. (Spanish) 
(see 92g:00024) 

Otal, Jean-Pierre see Boileau, Michel, 92i:57014 


57R52 _ Isotopy 


Items with secondary classifications in 57R52 


Boileau, Michel (with Otal, Jean-Pierre) Scindements de Heegaard et groupe des 
homéotopies des petites variétés de Seifert. [Heegaard splittings and homeotopy group of 
small Seifert manifolds] 92i:57014 

Nabutovsky, Alexander Smoothing of real algebraic hypersurfaces by rigid isotopies. 
(French summary) 92j:14070 

Otal, Jean-Pierre Sur les scindements de Heegaard de la sphére S>. [On Heegaard splittings 
of the sphere 53] 92b:57023 

— see also Boileau, Michel, 92i:57014 


57R55 Differentiable structures 


Armas, S. see Margalef Roig, Juan; et al., (92b:00044) 

De Michelis, Stefano On manifolds diffeomorphic on the complement of a point. (Italian 
summary) 92k:57060 

Gompf, Robert E. Nuclei of elliptic surfaces. 92f:57042 

Margalef Roig, Juan (with Padrén, Edith; Armas, S.; Outerelo Dominguez, Enrique) 
Fundamental theorem for quotient-manifolds with boundary. (Spanish. English 
summary) (see 92b:00044) 

Ohba, Kiyoshi On fiber bundles over S' having small Seifert manifolds as fibers. 92b:57041 

Okonek, Christian (with Van de Ven, A.) Stable bundles, instantons and C™-structures on 
algebraic surfaces. 92g:57042 

Outerelo Dominguez, Enrique see Margalef Roig, Juan; et al., (92b:00044) 

Padrén, Edith see Margalef Roig, Juan; et al., (92b:00044) 

Salvetti, Mario A lower bound for the number of differentiable structures on 4-manifolds. 
(Italian summary) 92b:57042 

Van de Ven, A. see Okonek, Christian, 92g:57042 


Items with secondary classifications in 57R55 

Akbulut, Selman A fake compact contractible 4-manifold. 92b:57025 

— An exotic 4-manifold. 92b:57026 

Donaldson, S. K. (with Kronheimer, Peter B.) * The geometry of four-manifolds. 
92a:57036 

— Polynomial invariants for smooth four-manifolds. 92a:57035 

Ebeling, Wolfgang (with Okonek, Christian) Donaldson invariants, monodromy groups, 
and singularities. 92f:32047 

Fintushel, Ronald (with Stern, Ronald John) Homotopy K3 surfaces containing £(2, 3, 7). 
92g:57037 

Kreck, Matthias (with Stolz, Stephan) Some nondiffeomorphic homeomorphic homoge- 
neous 7-manifolds with positive sectional curvature. 92d:53043 

Kronheimer, Peter B. see Donaldson, S. K., 92a:57036 

Little, Robert D. The Pontrjagin class of a homotopy complex projective space. 92a:57030 

Mong, Kai-Cheong Some polynomials on the blow-up of P2(C). 92i:14042 

Okonek, Christian see Ebeling, Wolfgang, 92f:32047 

Oledzki, Wiestaw J. On the eta-invariant of Pin*-operator on some exotic 4-dimensional 
projective space. 92b:57027 





957 1992 


Reinhart, Bruce L. The cut locus on low-dimensional noncompact manifolds. 92g:53032 

Stern, Ronald John see Fintushel, Ronald, 92g:57037 

Stolz, Stephan see Kreck, Matthias, 92d:53043 

Totaro, Burt Affine varieties and Stein manifolds. 92k:32026 

Wong, Bun A note on homotopy complex surfaces with negative tangent bundles. 
92m:32049 


57R57 Applications of global analysis to structures on manifolds 
[see also 58-XX] 


(Bahri, Anthony P.) see Gilkey, Peter B., 92b:57043 

(Bendersky, Martin) see Gilkey, Peter B., 92b:57043 

Donaldson, S. K. (with Kronheimer, Peter B.) * The geometry of four-manifolds. 
92a:57036 

— Instantons in Yang-Mills theory. 92¢:57030 

— Polynomial invariants for smooth four-manifolds. 92a:57035 

Freed, Daniel S. (with Gompf, Robert E.) Computer tests of Witten’s Chern-Simons theory 
against the theory of three-manifolds. 92k:57061 

Gilkey, Peter B. * The geometry of spherical space form groups. 92b:57043 

Gompf, Robert E. see Freed, Daniel S., 92k:57061 

Isham, C. J. Square root of the Euler class: nowhere-vanishing spinors and spacetime 
topology. 92e:57047 

Kotschick, D. SO(3)-invariants for 4-manifolds with bj = 1. 92m:57040 

Kronheimer, Peter B. see Donaldson, S. K., 92a:57036 

Petrie, Ted (with Randall, John) * Connections, definite forms, and four-manifolds. 
92£:57043 

Randall, John see Petrie, Ted, 92£:57043 

Yoshida, Tomoyoshi Floer homology and splittings of manifolds. 92m:57041 


Items with secondary classifications in 57R57 

Braam, Peter J. Floer homology groups for homology three-spheres. 92g:57027 

Buchdahl, N. P. (with Kwasik, Sltawomir; Schultz, Reinhard) One fixed point actions on 
low-dimensional spheres. 92b:57047 

Hitchin, Nigel J. The geometry and topology of moduli spaces. 92a:58023 

Hu, Hong Liang Topological o models with loop groups as the target manifolds. 92k:58041 

Kwasik, Slawomir see Buchdahl, N. P.; et al., 92b:57047 

Ohta, Hiroshi? Intersection forms of 4-manifolds with a homology 3-sphere boundary. 
92:57026 

Okonek, Christian (with Van de Ven, A.) Stable bundles, instantons and C™-structures on 
algebraic surfaces. 92g:57042 

Schultz, Reinhard see Buchdahl, N. P.; et al., 92b:57047 

Schwarz, Albert Topological Lagrangians. (see 92i:81006) 

Van de Ven, A. see Okonek, Christian, 92g:57042 

Weitsman, Jonathan Quantization via real polarization of the moduli space of flat 
connections and Chern-Simons gauge theory in genus one. 92f:58071 

Witten, Edward Introduction to cohomological field theories. 92h:58035 

Wu, Siye Supersymmetry breaking and anomaly in topological quantum Yang-Mills theory. 
92i:81193 


57R60 Homotopy spheres, Poincaré conjecture 


Gompf, Robert E. On Cappell-Shaneson 4-spheres. 92c:57031 
Homma, Tatsuo Elementary deformations on homotopy 3-spheres. 92m:57042 


Items with secondary classifications in 57R60 
Cavicchioli, Alberto On the genus of smooth 4-manifolds. 92g:57029 


57R65 Surgery and handlebodies 


Gompf, Robert E. Sums of elliptic surfaces. 92f:57044 

Hsiang, Wu Chung Borel’s conjecture, Novikov’s conjecture and the K-theoretic analogues. 
92k:57062 

Ishimoto, Hiroyasu On cellular decompositions of the boundaries of handlebodies and 
Wall’s invariants. 92f:57045 


Items with secondary classifications in 57R65 

Archer, Francis (with Williams, Ruth M.) The Turaev-Viro state sum model and three- 
dimensional quantum gravity. 92m:57021 

Cavicchioli, Alberto (with Hegenbarth, Friedrich) Manifolds of type C(p,q). 92a:57023 

Gompf, Robert E. Nuclei of elliptic surfaces. 92f:57042 

Hegenbarth, Friedrich see Cavicchioli, Alberto, 92a:57023 

Takahashi, Moto-o Framed-link representations of 3-manifolds. 92f:57023 

Weinstein, Alan Contact surgery and symplectic handlebodies. 92g:53028 

Williams, Ruth M. see Archer, Francis, 92m:57021 

Witten, Edward The central charge in three dimensions. 92j:81306 


57R67 Surgery obstructions, Wall groups [see also 19J25] 


Davis, James Frederic (with Milgram, R. James) Free actions on products of spheres: the 
rational case. 92h:57048 

Dovermann, Karl Heinz (with Schultz, Reinhard) * Equivariant surgery theories and their 
periodicity properties. 92c:57032 

Kitada, Yasuhiko On the Kervaire classes of homotopy real projective spaces. 92¢:57033 

Milgram, R. James Surgery with finite fundamental group. I. The obstructions. 92j:57021a 

— Surgery with finite fundamental group. II. The oozing conjecture. 92j:57021b 

— see also Davis, James Frederic, 92h:57048 

Schultz, Reinhard see Dovermann, Karl Heinz, 92c:57032 


57R Differential topology 


57R90 


Items with secondary classifications in 57R67 

Kasparov, G. G. (with Skandalis, Georges) Groups acting on buildings, operator K-theory, 
and Novikov’s conjecture. 92h:19009 

Milgram, R. James (with Ranicki, A.A.) The L-theory of Laurent extensions and genus 0 
function fields. 92d:19006 

Morimoto, Masaharu Most standard spheres have smooth one fixed point actions of As. II. 
92h:57055 

Ranicki, A. A. see Milgram, R. James, 92d:19006 

Skandalis, Georges see Kasparov, G. G., 92h:19009 

Vogell, Wolrad Algebraic K-theory of spaces, with bounded control. 92b:19001 

Wilczytiski, Dariusz M. Periodic maps on simply connected four-manifolds. 92e:57054 


57R70 Critical points and critical submanifolds 


Alaniya, L. A. Topological structure of level surfaces of Morse 1-forms. (Russian) 
92g:57043 
Sharko, V. V. The stable algebra of Morse theory. (Russian) 92a:57037 


Items with secondary classifications in 57R70 

Belov, V. Ya. On the Morse formula. 92g:58018 

Hamm, Helmut A. Morse theory on singular spaces and Lefschetz theorems. 92b:32044 

Huang, Garng M. see Luxemburg, L. A., 92j:58020 

Klein, John R. Coordinate free Morse theory. 92c:57029 

Krawcewicz, W. (with Marzantowicz, Waclaw) Some remarks on the Lusternik- 
Schnirel/man method for nondifferentiable functionals invariant with respect to a finite 
group action. 92f:58033 

Langevin, Rémi (with Levitt, Gilbert; Rosenberg, Harold) Hérissons et multihérissons 
(enveloppes parametrées par leur application de Gauss). [Hedgehogs and multihedgehogs 
(envelopes parametrized by their Gauss map)] 92a:58015 

Levitt, Gilbert see Langevin, Rémi; et al., 92a:58015 

Luxemburg, L. A. (with Huang, Garng M.) Generalized Morse theory and its applications 
to control and stability analysis. 92j:58020 

Marzantowicz, Waclaw see Krawcewicz, W., 92f:58033 

Mikhailyuk, E. A. Z,-free chain complexes and inequalities for numbers of critical points of 
Morse functions on some non-simply connected manifolds. (Russian) 92:57040 

Rosenberg, Harold see Langevin, Rémi; et al., 92a:58015 

Salamon, Dietmar Morse theory, the Conley index and Floer homology. 92a:58028 

Yang, Xue Feng The Morse critical groups of the minmax theorem. (Chinese summary) 
92£:58035 


57R75 O- and SO-cobordism 


Jiang, Guo Rui Involutions on manifolds with fixed-point set aP(2r + 1) U (U_, S”). 
(Chinese) 92f:57046 
Lee, Hong Jae see Lee, Ke An, 92g:57044 
Lee, Ke An (with Lee, Hong Jae) On the indices and the bordism groups. 92g:57044 
Parameswaran Determination of Grassmann manifolds which are boundaries. 
92h:57049 


Items with secondary classifications in 57R75 
Kim, In Su see Lee, Hong Jae 


Lee, Hong Jae (with Kim, In Su) A note on bordism Stiefel-Whitney and Pontrjagin 
numbers. 


57R77 Complex cobordism (U- and SU-cobordism) 
[see also 55N22] 


Bressler, Paul (with Evens, Sam) Schubert calculus in complex cobordism. 92h:57050 
Evens, Sam see Bressler, Paul, 92h:57050 


57R80 /- and s-cobordism 


Farrell, F.T. (with Jones, Lowell Edwin) Foliated control without radius of injectivity 
restrictions. 92d:57025 
Jones, Lowell Edwin see Farrell, F. T., 92d:57025 


57R85 Equivariant cobordism 


Costenoble, Steven R. (with Waner, Stefan; Wu, Yihren) The equivariant Euler characteris- 
tic. 92b:57044 

Izepe Rodrigues, Claudina Z>-fixed sets of stationary point free Z4-actions. 92i:57030 

Jiang, Guo Rui (with Yan, Chong Zheng) Manifolds with involutions fixing the disjoint 
union of some projective (27; + 1)-spaces. (Chinese. English summary) 92h:57051 

Waner, Stefan see Costenoble, Steven R.; et al., 92b:57044 

Wau, Yihren see Costenoble, Steven R.; et al., 92b:57044 

Yan, Chong Zheng see Jiang, Guo Rui; et al., 92h:57051 


Items with secondary classifications in 57R85 

Costenoble, Steven R. (with Waner, Stefan) G-transversality revisited. 92m:57044 

tom Dieck, Tammo Verschlingungssy in glatten Darstellungsformen. (English 
summary) [Linking systems in smooth representation forms] 92g:57047 

Jiang, Guo Rui Involutions on manifolds with fixed-point set aP(2r + 1) U (U2, S™). 
(Chinese) 92f:57046 

Waner, Stefan see Costenoble, Steven R., 92m:57044 





57R90 Other types of cobordism [See 55N22] 


Edwards, Steven R. On the spin bordism of B(E, x Eg). 92d:57026 
Li, Gui Song Framing bordism groups of framed immersed submanifolds. 92b:57045 
— On classification of higher order immersions of manifolds. 92a:57038 





57R90 


Sziics, Andrés On the cobordism groups of immersions and embeddings. 92h:57052 


Items with secondary classifications in 57R90 

(Bahri, Anthony P.) see Gilkey, Peter B., 92b:57043 

(Bendersky, Martin) see Gilkey, Peter B., 92b:57043 

Fischer, Thomas Georg Bert (with Kreck, Matthias) Rohlin invariants, integrality of some 
spectral invariants and bordism of spin diffeomorphisms. 92h:57047 

Gilkey, Peter B. * The geometry of spherical space form groups. 92b:57043 

Kreck, Matthias see Fischer, Thomas Georg Bert, 92h:57047 

Stolz, Stephan Simply connected manifolds of positive scalar curvature. 92a:53061 

Trofimov, V. V. The holonomy group and generalized Maslov classes of submanifolds in 
spaces with affine connection. (Russian) 92j:57016 

Vershinin, V. V. On bordism rings with principal torsion ideal. 92h:55014 


57R91 Equivariant algebraic topology of manifolds 


Chen, Hua (with Lee, Doobum) A remark on equivariant Poincaré duality. 92m:57043 
Costenoble, Steven R. (with Waner, Stefan) G-transversality revisited. 92m:57044 

Lee, Doobum see Chen, Hua, 92m:57043 

Waner, Stefan see Costenoble, Steven R., 92m:57044 


57R95_ Realizing cycles by submanifolds 


Rosset, Edi An existence result for minimal spheres in manifolds with boundary. (Italian 
summary) 92a:57039 


Items with secondary classifications in 57R95 

Fukuhara, Shinji (with Matsumoto, Yukio; Saeki, Osamu) An estimate for the unknotting 
numbers of torus knots. 92b:57010 

Gabai, David 1-bridge braids in solid tori. 92b:57011 

Matsumoto, Yukio see Fukuhara, Shinji; et al., 92b:57010 

Rudyak, Yu. B. The problem of the realization of homology classes: from Poincaré to the 
present time. (Russian) 92k:55006 

Saeki, Osamu see Fukuhara, Shinji; et al., 92b:57010 


57R99 None of the above, but in this section 


Burghelea, D. The free loop space. I. Algebraic topology. 92h:57053 
Floer, Andreas Instanton homology. (see 92g:00021) 


Items with secondary classifications in 57R99 

Akbulut, Selman (with King, Henry Churchill) All compact manifolds are homeomorphic 
to totally algebraic real algebraic sets. 92¢:14056 

Blanchard, Paul R. (with Devaney, Robert L.; Keen, Linda) The dynamics of complex 
polynomials and automorphisms of the shift. 92f:58150 

Bochnak, Jacek (with Kucharz, Wojciech) On polynomial mappings into spheres. 
92¢:14054 

— (with Kucharz, Wojciech) Polynomial mappings from products of algebraic sets into 
spheres. 92g:14053 

Cugliandolo, L. F. (with Lozano, G.; Schaposnik, Fidel A.) Path-integral measure for 
Chern-Simons theory within the stochastic quantization approach. 92d:81084 

Devaney, Robert L. see Blanchard, Paul R.; et al., 92f:58150 

Fomenko, A. T. (with Tuzhilin, Aleksei Avgustinovich) * Elements of the geometry and 
topology of minimal surfaces in three-dimensional space. 92m:53010 

— see also Nguyen Tien Zung, 92h:58088 

Galperin, A.S. (with Ogievetskii, O. V.) Holonomy groups, complex structures and D = 4 
topological Yang-Mills theory. 92i:81321 

Getzler, Ezra (with Jones, John D. S.; Petrack, Scott) Differential forms on loop spaces and 
the cyclic bar complex. 92i:58179 

Giveon, Amit (with Malkin, N.; Rabinovici, E.) On discrete symmetries and fundamental 
domains of target space. 92a:81112 

Gomez-Tato, Antonio Théorie de Sullivan pour la cohomologie a coefficients locaux. 
(English summary) [Sullivan’s theory for cohomology with local coefficients] 92:55012 

Hayashi, Mitsuo J. (with Murayama, Akihiro; Takeshita, Shoji) The origin of the three 
generations in compactifications of the Eg x Eg heterotic string. 92b:81146a 

— (with Murayama, Akihiro; Takeshita, Shoji) Errata: “The origin of the three generations 
in compactifications of the Eg x Eg heterotic string”. 92b:81146b 

Husain, Vigar Topological quantum mechanics. 92i:81185 

Jambu, Michel Yves Arrangements d’hyperplans. II. Topologie et géométrie. 2. (English 
summary) [Arrangements of hyperplanes. II. Topology and geometry. 2] 92a:52018 

Jones, John D.S. see Getzler, Ezra; et al., 92i1:58179 

Keen, Linda see Blanchard, Paul R.; et al., 92f:58150 

King, Henry Churchill see Akbulut, Selman, 92c:14056 

Kucharz, Wojciech see Bochnak, Jacek, 92e:14054 and 92g:14053 

Kunitomo, Hiroshi Topological half-flat gravity. 92i:81292 

Lozano, G. see Cugliandolo, L. F.; et al., 924:81084 

Lacchesi, Claudio (with Piguet, Olivier) Local supersymmetry of the Chern-Simons theory. 
92h:81100 

Malkin, N. see Giveon, Amit; et al., 92a:81112 

Masbaum, Gregor On the cohomology of the classifying space of the gauge group over some 
4-complexes. (French summary) 92a:55009 

Morris, Sidney A. (with Nyikos, Peter J.) Sudden cardiac arrest and a problem in topology. 
92k:92011 

Murayama, Akihiro see Hayashi, Mitsuo J.; et al., 92b:81146a and 92b:81146b 

Nguyen Tien Zung (with Fomenko, A. T.) Topological classification of integrable 
nondegenerate Hamiltonians on a constant energy three-dimensional sphere. (Russian) 
92h:58088 

Nyikos, Peter J. see Morris, Sidney A., 92k:92011 

Ogievetskii,O.V. see Gal’perin, A. S., 92i:81321 

Penner, Robert C. Integration over the moduli space of Riemann surfaces. (see 92i:81012) 


MANIFOLDS AND CELL COMPLEXES 


Petrack, Scott see Getzler, Ezra; et al., 92i:58179 

Piguet, Olivier see Lucchesi, Claudio, 92h:81100 

(Primrose, E. J. F.) see Fomenko, A. T., 92m:53010 

Rabinovici, E. see Giveon, Amit; et al., 92a:81112 

Rosenberg, Jonathan The KO-assembly map and positive scalar curvature. 92m:53060 

Sadowski, Michal On isomorphisms between fibrations over T* associated with a T* action. 
92c:55017 

Schaposnik, Fidel A. see Cugliandolo, L. F.; et al., 92d:81084 

Takeshita, Shoji see Hayashi, Mitsuo J.; et al., 92b:81146a and 92b:81146b 

Tuzhilin, Aleksei Avgustinovich see Fomenko, A. T., 92m:53010 

Vasil’ev, V. A. Topology of complements to discriminants and loop spaces. 92e:32019 


57Sxx Topological transformation groups 
[see also 20F34, 22-XX, 54H15, 58D05] 


57S05 Topological properties of groups of homeomorphisms or 
diffeomorphisms 


Connolly, Frank (with Kozniewski, Tadeusz) Examples of lack of rigidity in crystallo- 
graphic groups. 92g:57045 
Koiniewski, Tadeusz see Connolly, Frank, 92g:57045 


Items with secondary classifications in 57S05 

Magiropoulos, Manolis On spaces of equivariant isomorphisms. 92i:55014 

Margulis, G. A. Compactness of minimal closed invariant sets of actions of unipotent 
groups. 92f:22018 

Park, Chan Young On the weak automorphism group of a principal bundle, product case. 
92h:55011 


57S10 Compact groups of homeomorphisms 
Ahn, Seung Ho Existence theorems for slices and their applications. 92e:57048 


Items with secondary classifications in 57810 

Davis, Michael Walter (with Januszkiewicz, Tadeusz) Convex polytopes, Coxeter orbifolds 
and torus actions. 92i:52012 

Januszkiewicz, Tadeusz see Davis, Michael Walter, 92i:52012 

Phillips, N. Christopher Five problems on operator algebras. (see 92d:00034) 


57815 Compact Lie groups of differentiable transformations 


Boualem, Hassan Actions de groupes de Lie compacts avec sections généralisées. (English 
summary) [Actions of compact Lie groups with generalized sections] 92k:57063 

Crabb, M. C. Invariants of fixed-point-free circle actions. 92c:57034 

Fernandez, Marisa Luisa (with Gray, Alfred; Morgan, John Willard) Compact symplectic 
manifolds with free circle actions, and Massey products. 92e:57049 

Gray, Alfred see Fernandez, Marisa Luisa; et al., 92e:57049 

Haefliger, André (with Salem, Eliane) Actions of tori on orbifolds. 92f:57047 

Lee, Kyung Bai (with Raymond, Frank) Maximal torus actions on solvmanifolds and 
double coset spaces. 92h:57054 

Masuda, Mikiya One aspect of an algebraic group action as seen by a topologist. (Japanese) 
92d:57027 

Morgan, John Willard see Fernandez, Marisa Luisa; et al., 92e:57049 

Raymond, Frank see Lee, Kyung Bai, 92h:57054 

Sadowski, Michal Equivariant splittings associated with smooth toral actions. 92g:57046 

Salem, Eliane see Haefliger, André, 92f:57047 


Items with secondary classifications in 57S15 


Ahara, Kazushi 6-dimensional almost complex S' manifolds with y(M) = 4. 92:57033 

Delia, Ermanno (with Hauschild, Volker) Fixed spaces and magic rectangles: some remarks 
concerning linear actions of S' on homogeneous spaces. (Italian. English summary) 
92e:57056 

Dylawerski, Grzegorz (with Geba, Kazimierz; Jodel, Jerzy; Marzantowicz, Waclaw) An S'- 
equivariant degree and the Fuller index. 92g:58105 

Geba, Kazimierz see Dylawerski, Grzegorz; et al., 92g:58105 

Hauschild, Volker see Delia, Ermanno, 92¢:57056 

Iliman, Séren The restriction homomorphism Res@: Whg(X) — Whx(X) for G a compact 
Lie group. 92b:57029 

Jodel, Jerzy see Dylawerski, Grzegorz; et al., 92g:58105 

Lashof, R. Equivariant prequantization. 92e:58080 

Lewis, L. Gaunce, Jr. The equivariant Hurewicz map. 92j:55024 

Marzantowicz, Waclaw see Dylawerski, Grzegorz; et al., 92g:58105 

Morimoto, Masaharu (with Uno, Katsuhiro) Remarks on one fixed point As-actions on 
homology spheres. 92i:57031 

Plakhta, L. P. G-symmetric products of the sphere S? and of other closed surfaces. 
(Russian) 92a:54033 

Rabier, Patrick J. Topological degree and the theorem of Borsuk for general covariant 
mappings with applications. 92b:55001 

Uno, Katsuhiro see Morimoto, Masaharu, 92i:57031 


57S17 Finite transformation groups 


Allday, C. (with Puppe, V.) Some applications of shifted subgroups in transformation 
groups. 92j:57022 

Assadi, Amir H. On representations of finite transformation groups of algebraic curves and 
surfaces. 92e:57050 

— Localization and the Sullivan fixed point conjecture. 92m:57045 

Audin, Michele * The topology of torus actions on symplectic manifolds. 92m:57046 





959 1992 


Cappell, Sylvain E. (with Weinberger, Shmuel) A simple construction of Atiyah-Singer 
classes and piecewise linear transformation groups. 92k:57064 

Cho, Yong Seung Finite group actions on self-dual 4-manifolds with positive scalar 
curvature. 92¢:57035 

De Michelis, Stefano Group actions on rational homology spheres. (Italian summary) 
92:57048 

tom Dieck, Tammo V. gungssy in glatten Darstellungsformen. (English 
summary) [Linking systems in smooth representation forms] 92g:57047 

Dotzel, Ronald M. (with Singh, Tej B.) Z, actions on spaces of cohomology type (a, 0). 
92b:57046 

Dovermann, Karl Heinz (with Knop, Friedrich; Suh, Dong Youp) Topological invariants of 
real algebraic actions. 92k:57065 

Gan, Dan Yan Decomposition of involutions. (Chinese. English summary) 92e:57051 

Heil, Wolfgang Free involutions on certain 3-manifolds. 92a:57040 

Kim, Sung Sook Characteristic numbers and group actions. 92k:57066 

Knop, Friedrich see Dovermann, Karl Heinz; et al., 92k:57065 

Kulkarni, Ravi S. (with Maclachlan, Colin) Cyclic p-groups of symmetries of surfaces. 
92e:57052 

Kwasik, Slawomir (with Schultz, Reinhard) Topological pseudofree actions on spheres. 
92e:57053 

Maclachlan, Colin see Kulkarni, Ravi S., 92e:57052 

Madsen, Ib (with Raussen, Martin) Locally linear representation forms. 92k:57067 

Morimoto, Masaharu Most standard spheres have smooth one fixed point actions of As. II. 
92h:57055 

Puppe, V. see Allday, C., 92j:57022 

Raussen, Martin see Madsen, Ib, 92k:57067 

Rothenberg, Melvin G. (with Triantafillou, Georgia) On the classification of G-manifolds 
up to finite ambiguity. 92f:57049 

Schultz, Reinhard see Kwasik, Slawomir, 92e:57053 

Singh, Tej B. see Dotzel, Ronald M., 92b:57046 

Suh, Dong Youp see Dovermann, Karl Heinz; et al., 92k:57065 

Triantafillou, Georgia see Rothenberg, Melvin G., 92f:57049 

Weinberger, Shmuel see Cappell, Sylvain E., 92k:57064 

Wilczytiski, Dariusz M. Periodic maps on simply connected four-manifolds. 92e:57054 

Wa, Zhen De Manifolds for which the involutive fixed-point set F has the property that 
W(F) = 1. (Chinese) 





Items with secondary classifications in 57S17 


Assadi, Amir H. Permutation complexes and modular representation theory. 92h:20080 

Atiyah, Michael Francis (with Segal, Graeme B.) On equivariant Euler characteristics. 
92¢:19005 

Broughton, S. Allen Classifying finite group actions on surfaces of low genus. 92b:57021 

Curran, Stephen J. Intersection homology and free group actions on Witt spaces. 
92m:55005 

Dovermann, Karl Heinz (with Schultz, Reinhard) * Equivariant surgery theories and their 
periodicity properties. 92¢:57032 

Felshtyn, A. L. The Reidemeister zeta function and the computation of the Nielsen zeta 
function. 92f:58140 

Hiss, Gerhard (with Szczepatiski, Andrzej) On torsion free crystallographic groups. 
92i:20053 

Hughes, Mark Dihedral group actions on homotopy complex projective three spaces. 
92d:57028 

Jiang, Guo Rui Involutions on manifolds with fixed-point set aP(2r + 1) U (U2, S”). 
(Chinese) 92f:57046 

— (with Yan, Chong Zheng) Manifolds with involutions fixing the disjoint union of some 
projective (2r; + 1)-spaces. (Chinese. English summary) 92h:57051 

Kalliongis, John (with Miller, Andy) The symmetries of genus one handlebodies. 
92g:57023 

Kanerva, Osmo-Jukka G-simple-homotopy type and equivariant Hilbert cubes for a finite 
group G. 92k:57035 

Livingston, Charles Exotic dihedral actions on homology 3-spheres. 92¢:57036 

Miller, Andy see Kalliongis, John, 92g:57023 

Morimoto, Masaharu (with Uno, Katsuhiro) Remarks on one fixed point As-actions on 
homology spheres. 92i:57031 

Negami, Seiya Branched coverings of PL involutions on 3-manifolds. 92f:57008 

Oprea, John Finite group actions on spheres and the Gottlieb group. 92g:55017 

Schultz, Reinhard see Dovermann, Karl Heinz, 92c:57032 

Segal, Graeme B. see Atiyah, Michael Francis, 92c:19005 

Stefanov, Simeon T. Mapping theorems for Z,-actions with fixed points. 92e:55003 

Szczepatiski, Andrzej see Hiss, Gerhard, 92i:20053 

Uno, Katsuhiro see Morimoto, Masaharu, 92i:57031 

Vidal, Antonio On C-locally trivial spaces over finite G-complexes. 92g:55021 

Wong, Peter Ngai-Sing Equivariant Nielsen fixed point theory for G-maps. 92i:55005 

— On the location of fixed points of G-deformations. 92c:55004 

Yan, Chong Zheng see Jiang, Guo Rui; et al., 92h:57051 

Zimmermann, Bruno Finite abelian group actions on surfaces. 92¢:57037 


57S20 Noncompact Lie groups of transformations 
Zarkhin, Yu. G. Actions of semisimple Lie groups and orbits of Cartan subgroups. 
92k:57068 


Zimmer, Robert J. On the algebraic hull of an automorphism group of a principal bundle. 
92£:57050 


Items with secondary classifications in 57S20 

Ahn, Seung Ho Existence theorems for slices and their applications. 92e:57048 

Brylinski, Jean-Luc Noncommutative Ruelle-Sullivan type currents. 92e:57044 

Gorbatsevich, V. V. Plesio-compact homogeneous spaces. II. (Russian) 92m:22003 

Keynes, Harvey B. (with Markley, Nelson G.; Sears, Michael) The structure of automor- 
phisms of real suspension flows. 92m:58074 


57S Topological transformation groups 


Markley, Nelson G. see Keynes, Harvey B.; et al., 92m:58074 
Sears, Michael see Keynes, Harvey B.; et al., 92m:58074 


57S25 Groups acting on specific manifolds 


Buchdahl, N. P. (with Kwasik, Slawomir; Schultz, Reinhard) One fixed point actions on 
low-dimensional spheres. 92b:57047 

Cruz, Ricardo N. Periodic knots and desuspensions of free involutions on spheres. 
92e:57055 

Delia, Ermanno (with Hauschild, Volker) Fixed spaces and magic rectangles: some remarks 
concerning linear actions of S' on homogeneous spaces. (Italian. English summary) 
92e:57056 

Gabai, David Convergence groups are Fuchsian groups. 92h:57056 

Hauschild, Volker see Delia, Ermanno, 92e:57056 

Hughes, Mark Dihedral group actions on homotopy complex projective three spaces. 
92d:57028 

Kwasik, Slawomir see Buchdahl, N. P.; et al., 92b:57047 

Livingston, Charles Exotic dihedral actions on homology 3-spheres. 92c:57036 

Mayer, Karl Heinz Group actions on quasi-symplectic manifolds. 92f:57051 

Morimoto, Masaharu (with Uno, Katsuhiro) Remarks on one fixed point As-actions on 
homology spheres. 92i:57031 

Schultz, Reinhard see Buchdahl, N. P.; et al., 92b:57047 

Shchetinin, A. N. Lie groups that are transitive on a class of manifolds. (Russian) 
92a:57041 

Spatzier, Ralf J. (with Zimmer, Robert J.) Fundamental groups of negatively curved 
manifolds and actions of semisimple groups. 92m:57047 

Uno, Katsuhiro see Morimoto, Masaharu, 92i:57031 

Zimmer, Robert J. see Spatzier, Ralf J., 92m:57047 

Zimmermann, Bruno Finite abelian group actions on surfaces. 92c¢:57037 


Items with secondary classifications in 57S25 

Aminova, A. V. A Lie problem, projective groups of two-dimensional Riemann surfaces, and 
solitons. (Russian) 

Bliss, John G. (with Moody, Robert V.; Pianzola, Arturo) Appendix to: “Elliptic genera, 
involutions, and homogeneous spin manifolds” by F. Hirzebruch and P. Slodowy [Geom. 
Dedicata 35 (1990), no. 1-3, 309-343; MR 92a:57028]. 92a:57029 

De Michelis, Stefano Group actions on rational homology spheres. (Italian summary) 
92:57048 

tom Dieck, Tammo Verschlingung: in glatten Darstellungsformen. (English 
summary) [Linking systems in smooth representation forms] 92g:57047 

Dovermann, Karl Heinz (with Knop, Friedrich; Suh, Dong Youp) Topological invariants of 
real algebraic actions. 92k:57065 

Gillet, Henri (with Shalen, Peter B.) Dendrology of groups in low Q-ranks. 92b:57003 

Gonzalez-Lépez, Artemio (with Kamran, Niky; Olver, Peter J.) Lie algebras of vector fields 
in the real plane. 92m:17038 

Heil, Wolfgang Free involutions on certain 3-manifolds. 92a:57040 

Hinrichsen, Diederich (with O’Halloran, Joyce) The moduli space of controllable singular 
systems under restricted system equivalence. 92g:93036 

Hirzebruch, Friedrich (with Slodowy, Peter) Elliptic genera, involutions, and homogeneous 
spin manifolds. 92a:57028 

— see also Bliss, John G.; et al., 92a:57029 

Kalliongis, John (with Miller, Andy) The symmetries of genus one handlebodies. 
92g:57023 

Kamran, Niky see Gonzdlez-Lépez, Artemio; et al., 92m:17038 

Kim, Sung Sook Characteristic numbers and group actions. 92k:57066 

Knop, Friedrich see Dovermann, Karl Heinz; et al., 92k:57065 

Kulkarni, Ravi S. (with Maclachlan, Colin) Cyclic p-groups of symmetries of surfaces. 
92e:57052 

Little, Robert D. The Pontrjagin class of a homotopy complex projective space. 92a:57030 

Maclachlan, Colin see Kulkarni, Ravi S., 92e:57052 

Madsen, Ib (with Raussen, Martin) Locally linear representation forms. 92k:57067 

Miller, Andy see Kalliongis, John, 92g:57023 

Moody, Robert V. see Bliss, John G.; et al., 92a:57029 

Morimoto, Masaharu Most standard spheres have smooth one fixed point actions of As. II. 
92h:57055 

O’Halloran, Joyce see Hinrichsen, Diederich, 92g:93036 

Olver, Peter J. see Gonzalez-Lépez, Artemio; et al., 92m:17038 

Pianzola, Arturo see Bliss, John G.; et al., 92a:57029 

Ratner, Marina Distribution rigidity for unipotent actions on homogeneous spaces. 
92a:22015 

Raussen, Martin see Madsen, Ib, 92k:57067 

Shalen, Peter B. see Gillet, Henri, 92b:57003 

Slodowy, Peter see Hirzebruch, Friedrich, 92a:57028 and Bliss, John G.; et al., 92a:57029 

Stefanov, Simeon T. Mapping theorems for Z,-actions with fixed points. 92e:55003 

Suh, Dong Youp see Dovermann, Karl Heinz; et al., 92k:57065 

Weinberg, David A. (with Witte, Dave) Topological equivalence of real binary forms. 
92a:12002 

Wilczyriski, Dariusz M. Periodic maps on simply connected four-manifolds. 92e:57054 

Witte, Dave see Weinberg, David A., 92a:12002 

Wu, Bingle Isoparametric submanifolds of hyperbolic spaces. 92m:53106 





57S30 Discontinuous groups of transformations 


Adams, Colin C. Limit volumes of hyperbolic three-orbifolds. 92d:57029 

Apanasov, B. N. Nonstandard uniformized conformal structures on hyperbolic manifolds. 
92d:57030 

Coornaert, Michel * Sur les groupes proprement discontinus d’isométries des espaces 
hyperboliques au sens de Gromov. (French) [Properly discontinuous isometry groups of 
Gromov hyperbolic spaces] 92i:57032 





57830 


Cordero, Luis A. (with Fernandez, Marisa Luisa; Gray, Alfred) The fiber structure of a 
compact nilmanifold. (Spanish) 92k:57069 

Corlette, Kevin Archimedean superrigidity and hyperbolic geometry. 92m:57048 

Feighn, Mark (with Mess, Geoffrey) Conjugacy classes of finite subgroups of Kleinian 
groups. 92a:57042 

Fernandez, Marisa Luisa see Cordero, Luis A.; et al., 92k:57069 

Fujii, Michihiko Hyperbolic 3-manifolds with totally geodesic boundary which are 
decomposed into hyperbolic truncated tetrahedra. 92a:57043 

Gray, Alfred see Cordero, Luis A.; et al., 92k:57069 

Kapevich, M. E. (with Potyagailo, L.D.) On the absence of Ahlfors’ finiteness theorem for 
Kleinian groups in dimension three. 92j:57023 

Kulkarni, Ravi S. A finiteness theorem for planar discontinuous groups. 92a:57044 

Matsuzaki, Katsuhiko see Velling, John A., 92k:57070 

Mess, Geoffrey see Feighn, Mark, 92a:57042 

Potyagailo, L. D. see Kapovich, M. E., 92j:57023 

Stark, Christopher W. Group completions and orbifolds of variable negative curvature. 
92¢:57038 

Tukia, Pekka Mostow-rigidity and noncompact hyperbolic manifolds. 92b:57048 

Velling, John A. (with Matsuzaki, Katsuhiko) The action at infinity of conservative groups 
of hyperbolic motions need not have atoms. 92k:57070 : 


Items with secondary classifications in 57830 

Apanasov, B. N. Two kinds of deformations of conformal structure which are distinct from 
bendings. (see 92d:30002) 

Astala, Kari (with Zinsmeister, Michel) Mostow rigidity and Fuchsian groups. (French 
summary) 92c:30021 

Frame, Michael (with Hefferon, James) Fractal dimensions of limit sets of some Kleinian 
groups. 92h:57017 

Gehring, F. W. (with Martin, Gaven J.) Inequalities for Mébius transformations and 
discrete groups. 92j:20047 

— (with Martin, Gaven J.) Axial distances in discrete Mébius groups. 92m:30082 

Ghanaat, Patrick Geometric construction of holonomy coverings for almost flat manifolds. 
92k:53064 

(Ghys, Etienne) see Hyperbolic groups in the theory of Mikhael Gromov, 92:53050 

Gutsul, I. S. Completion of incomplete hyperbolic structures. (Russian) 92a:51023 

(de la Harpe, Pierre) see Hyperbolic groups in the theory of Mikhael Gromov, 92f:53050 

Hefferon, James see Frame, Michael, 92h:57017 

Hiraide, Koichi Positively expansive open maps of Peano spaces. 924:54054 

Isachenko, N. A. Uniformly quasiconformal discontinuous groups that are not isomorphic 
to Mébius groups. (Russian) 92f:30063 

Keen, Linda (with Series, Caroline) Pleating coordinates for the Teichmiiller space of a 
punctured torus. 92k:30064 

Lati¢, Z. (with Molnar, Emil) Combinatorial classification of fundamental domains of 
finite area for planar discontinuous isometry groups. 92a:20057 

— (with Molnar, Emil) Fundamental domains for planar discontinuous groups and uniform 
tilings. 92m:52046 

Martin, Gaven J. see Gehring, F. W., 92j:20047 and 92m:30082 

Matsuzaki, Katsuhiko A characterization of extended Schottky type groups with a remark to 
Ahlfors’ conjecture. 92h:30084 

May, Coy L. Complex doubles of bordered Klein surfaces with maximal symmetry. 
92d:30030 

Molnar, Emil see Lutié¢, Z., 92a:20057 and 92m:52046 

Moriyoshi, Hitoshi Chern character for proper I-manifolds. 92b:58225 

Neumann, Walter D. (with Reid, Alan W.) Amalgamation and the invariant trace field of a 
Kleinian group. 92b:30053 

Piunikhin, S. A. Some new results on quasicrystallographic groups in the sense of Novikov. 
(Russian) 92j:20050 

Reid, Alan W. see Neumann, Walter D., 92b:30053 

Sadowski, Michal Closed parallel 1-forms on infranilmanifolds and Calabi reductions. 
92b:53077 

Series, Caroline see Keen, Linda, 92k:30064 

Tanigawa, Harumi Orbits and their accumulation points of cyclic subgroups of modular 
groups. 92f:32037 

Wang, Ming’ The classification of flat compact complete space-forms with metric of 
signature (2,2). 92b:53108 

Zinsmeister, Michel see Astala, Kari, 92c:30021 


Items listed otherwise than by author 


Bern * Sur les groupes hyperboliques d’aprés Mikhael Gromov. (French) [Hyperbolic 
groups in the theory of Mikhael Gromov] 92f:53050 

Hyperbolic groups in the theory of Mikhael Gromov * Sur les groupes hyperboliques d’aprés 
Mikhael Gromov. (French) [Hyperbolic groups in the theory of Mikhael Gromov] 
92:53050 

Progress in Mathematics * Sur les groupes hyperboliques d’aprés Mikhael Gromov. 
(French) [Hyperbolic groups in the theory of Mikhael Gromov] 92£:53050 

Seminar: 
Hyperbolic Groups * Sur les groupes hyperboliques d’aprés Mikhael Gromov. (French) 

[Hyperbolic groups in the theory of Mikhael Gromov] 92f:53050 
Sur les groupes hyperboliques d’apres Mikhael Gromov * Sur les groupes hyperboliques 


d’aprés Mikhael Gromov. (French) [Hyperbolic groups in the theory of Mikhael Gromov] 
921:53050 


57899 None of the above, but in this section 


Items with secondary classifications in 57899 

Cappell, Sylvain E. (with Shaneson, Julius L.; Weinberger, Shmuel) Classes topologiques 
caractéristiques pour les actions de groupes sur les espaces singuliers. (English summary) 
[Topological characteristic classes for group actions on singular spaces] 92f:57035 

Cruz, Ricardo N. Linear and Lipschitz similarity. 92d:15002 


MANIFOLDS AND CELL COMPLEXES 


1992 960 


Deda, Maria (with Giachetti, Riccardo) The Lagrangian Grassmannian L(2). (Italian) 
92k:58080 

Giachetti, Riccardo see Dedd, Maria, 92k:58080 

Greenberg, Peter (with Sergiescu, Vlad) An acyclic extension of the braid group. 92b:57004 

Imamura, Y. (with Sakamoto, Makoto; Tabuse, M.) Twist-untwist intertwining currents on 
asymmetric orbifolds. 92f:81144 

McCord, Christopher Nielsen numbers and Lefschetz numbers on solvmanifolds. 
92a:55002 

Ramsay, Arlan Local product structure for group actions. 92g:22020 

Sakamoto, Makoto see Imamura, Y.; et al., 92f:81144 

Sergiescu, Vlad see Greenberg, Peter, 92b:57004 

Shaneson, Julius L. see Cappell, Sylvain E.; et al., 92f:57035 

Symonds, Peter A splitting principle for group representations. 92h:20015 

Tabuse, M. see Imamura, Y.; et al., 92f:81144 

Trapp, Rellard A linear representation of the mapping class group @ and the theory of 
winding numbers. 92k:57027 

Weinberger, Shmuel see Cappell, Sylvain E.; et al., 92£:57035 

Wong, Peter Ngai-Sing Equivariant Nielsen fixed point theory for G-maps. 92i:55005 


57Txx Homology and homotopy of topological groups and 
related structures 


57T05 Hopf algebras [see also 16W30] 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Elliptic Hopf algebras. 
92i:57033 

— (with Halperin, Stephen; Thomas, Jean-Claude) Lie algebras of polynomial growth. 
92i:57034 

Halperin, Stephen see Félix, Yves; et al., 92i:57033 and 92i:57034 

Thomas, Jean-Claude see Félix, Yves; et al., 92i:57033 and 92i:57034 


Items with secondary classifications in 57T05 


Connes, Alain On the Chern character of 6 summable Fredholm modules. 92i:19003 

Monks, Kenneth G. Nilpotence and torsion in the cohomology of the Steenrod algebra. 
92m:55023 

Scheerer, Hans (with Schuch, Klaus) A remark on a formula of Zassenhaus. 92h:16037 

Schuch, Klaus see Scheerer, Hans, 92h:16037 

Shnider, Steven Bialgebra deformations. (French summary) 92e:16029 


Zakrzewski, Stanislaw Matrix pseudogroups associated with anti-commutative plane. 
92d:46177 


57T10 Homology and cohomology of Lie groups 


Hemmi, Yutaka Mod 3 homotopy associative finite H-spaces and sphere extensions of 
classical groups. 92a:57045 

Watanabe, Takashi The Chern character homomorphism of the compact simply connected 
exceptional group E,. 92m:57049 


Items with secondary classifications in 57T10 

Friedlander, Eric Mark (with Mislin, Guido) Galois descent and cohomology for algebraic 
groups. 92a:14052 

Kane, Richard (with Notbohm, Dietrich) Elementary abelian p subgroups of Lie groups. 
92j:55026 

Kono, Akira! (with Kozima, Kazumoto) Homology of the Kac-Moody groups. II. 
92b:55008 

— (with Kozima, Kazumoto) Homology of the Kac-Moody groups. III. 92m:55010 

Kozima, Kazumoto see Kono, Akira’, 92b:55008 and 92m:55010 

Mislin, Guido see Friedlander, Eric Mark, 92a:14052 

Notbohm, Dietrich see Kane, Richard, 92j:55026 

Oshima, Hideaki (with Takahara, Koji) Cohomotopy of Lie groups. 92j:55023 

Takahara, Koji see Oshima, Hideaki, 92j:55023 


57T15 Homology and cohomology of homogeneous spaces of Lie 
groups 


Azad, H. On the third Betti number of some compact homogeneous manifolds. 92e:57057 
Jézefiak, Tadeusz Schur Q-functions and cohomology of isotropic Grassmannians. 
92a:57046 


Shchetinin, A. N. On a class of compact homogeneous spaces. II. 92h:57057 


Items with secondary classifications in 57T15 


Ishitoya, Kiminao Squaring operations in the Hermitian symmetric spaces. 92j:55028 

McCleary, John (with Ziller, Wolfgang) Corrections to: “On the free loop space of 
homogeneous spaces” [Amer. J. Math. 109 (1987), no. 4, 765-781; MR 88k:58023]. 
92¢e:58046 

Watanabe, Takashi The Chern character homomorphism of the compact simply connected 
exceptional group E,. 92m:57049 

Ziller, Wolfgang see McCleary, John, 92e:58046 


57T20 Homotopy groups of topological groups and homogeneous 
spaces 


Abdelal, Mohammed (with Onder, Turgut) Homotopy groups of some homogeneous spaces 
and some remarks on their sections over spheres. 92f:57052 

Bendersky, Martin (with Davis, Donald M.; Mimura, Mamoru) v;-periodic homotopy 
groups of exceptional Lie groups: torsion-free cases. 92k:57071 

Davis, Donald M. (with Mahowald, Mark) Three contributions to the homotopy theory of 
the exceptional Lie groups G2 and Fy. 92g:57048 





961 1992 


— see also Bendersky, Martin; et al., 92k:57071 

Mahowald, Mark see Davis, Donald M., 92g:57048 
Mimura, Mamoru see Bendersky, Martin; et al., 92k:57071 
Onder, Turgut see Abdelal, Mohammed, 92f:57052 


Items with secondary classifications in 57T20 

Mimura, Mamoru (with Toda, Hirosi) * Topology of Lie groups. I, II. 92h:55001 

Morisugi, Kaoru On the homotopy group 7g,44(Sp(”)) and the Hopf invariant. 92a:55014 

Shchetinin, A. N. Lie groups that are transitive on a class of manifolds. (Russian) 
92a:57041 

Toda, Hirosi see Mimura, Mamoru, 92h:55001 


57T25 Homology and cohomology of H-spaces 


Items with secondary classifications in 57T25 

Félix, Yves (with Halperin, Stephen; Thomas, Jean-Claude) Elliptic spaces. 92m:55009 

Halperin, Stephen see Félix, Yves; et al., 92m:55009 

Hemmi, Yutaka Mod 3 homotopy associative finite H-spaces and sphere extensions of 
classical groups. 92a:57045 

Mimura, Mamoru (with Toda, Hirosi) * Topology of Lie groups. I, II. 92h:55001 

Thomas, Jean-Claude see Félix, Yves; et al., 92m:55009 

Toda, Hirosi see Mimura, Mamoru, 92h:55001 


57T99 None of the above, but in this section 


Items with secondary classifications in 57T99 

Ishiguro, Kenshi Rigidity of p-completed classifying spaces of alternating groups and 
classical groups over a finite field. 92f:55021 

Kono, Akira’ (with Oshima, Hideaki) Codegree of simple Lie groups. II. 92¢:55014 

Oshima, Hideaki see Kono, Akira! , 92c:55014 


58-XX Global analysis, analysis on manifolds 
[see also 32Cxx, 32F xx, 46-XX, 47Hxx, 
53Cxx; for geometric integration theory, 
see 49Q15] 


58-00 General reference works (handbooks, dictionaries, 
bibliographies, etc.) 


Items with secondary classifications in 58-00 

Jirgens, Hartmut see Peitgen, Heinz-Otto; et al., 92a:58099 

(Lorenz, Edward) see Peitgen, Heinz-Otto; et al., 92a:58099 

(Mandelbrot, Benoit B.) see Peitgen, Heinz-Otto; et al., 92a:58099 

Peitgen, Heinz-Otto (with Jiirgens, Hartmut; Saupe, Dietmar; Zahlten, C.) Fractals. 
92a:58099 

Saupe, Dietmar see Peitgen, Heinz-Otto; et al., 92a:58099 

Zahiten, C. see Peitgen, Heinz-Otto; et al., 92a:58099 


58-01 Instructional exposition (textbooks, tutorial papers, etc.) 


Fomenko, A. T. see Novikov, S. P., 92h:58002 

Li, Jia Xian * Xiandai fenxi yuanli. (Chinese) [Principles of modern analysis] 92h:58001 

Martin, Daniel * Manifold theory. 92g:58001 

Munkres, James R. * Analysis on manifolds. 92d:58001 

Novikov, S. P. (with Fomenko, A. T.) * Basic elements of differential geometry and 
topology. 92h:58002 

(Tsaplina, M. V.) see Novikov, S. P., 92h:58002 


Items with secondary classifications in 58-01 

Arnold, V. I. * Gewoéhnliche Differentialgleichungen. (German) [Ordinary differential 
equations] 92a:34001 

Barner, Martin (with Flohr, Friedrich) * Analysis. II.(German) 92b:26002 

Bryant, Robert L. (with Chern, Shiing Shen; Gardner, Robert B.; Goldschmidt, Hubert; 
Griffiths, Phillip A.) * Exterior differential systems. 92h:58007 

(Burns, Robert G.) see Dubrovin, B. A.; et al., 92h:53001 

Chern, Shiing Shen see Bryant, Robert L.; et al., 92h:58007 

Chernov, N. I. see Gal’perin, G. A., 92f:58108 

Dubrovin, B. A. (with Fomenko, A. T.; Novikov, S. P.) * Modern geometry—methods and 
applications. Part I. 92h:53001 

Dutta, M. On mathematical models of the theory of Pfaffians. 92h:58009 

Flohr, Friedrich see Barner, Martin, 92b:26002 

Fomenko, A. T. see Dubrovin, B. A.; et al., 92h:53001 

Galperin, G. A. (with Chernov, N. I.) * Bannmapgpi x xaoc. (Russian) [Billiards and chaos] 
92£:58108 

Gardner, Robert B. see Bryant, Robert L.; et al., 92h:58007 

Goldschmidt, Hubert see Bryant, Robert L.; et al., 92h:58007 

Griffiths, Phillip A. see Bryant, Robert L.; et al., 92h:58007 

Hubbard, John H. (with West, Beverly H.) * Differential equations: a dynamical systems 
approach. Part I. 92b:34001 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Loomis, Lynn H. (with Sternberg, Shlomo) * Advanced calculus. 92i:00002 

(Madzharova, Yana) see Stewart, Ian N., 92m:58001 

(Mai, Brigitte) see Arnold, V. I., 92a:34001 

Novikov, S. P. see Dubrovin, B. A.; et al., 92h:53001 

(Plischke, W.) see Arnol’d, V. I., 92a:34001 

Sachdev, P. L. * Nonlinear ordinary differential equations and their applications. 
92i:34010 

(Sinai, Ya. G.) see Galperin, G. A., 92f:58108 

Sternberg, Shlomo see Loomis, Lynn H., 92i:00002 

Stewart, Ian N. The symplectic revolution. (Bulgarian) 92m:58001 

West, Beverly H. see Hubbard, John H., 92b:34001 


58-02 Research exposition (monographs, survey articles) 

Galperin, G. A. (with Zemlyakov, A. N.) * Matematuueckue 6unbapai. (Russian) 
[Mathematical billiards] 92k:58001 

Hermann, Robert * Geometric structures in nonlinear physics. 

Zemlyakov, A. N. see Gal’perin, G. A., 92k:58001 


Items with secondary classifications in 58-02 

Atiyah, Michael Francis The frontier between geometry and physics. (Bulgarian) 
92m:57001 

Berger, Melvyn S. * Mathematical structures of nonlinear science. 92d:58050 

Bryant, Robert L. (with Chern, Shiing Shen; Gardner, Robert B.; Goldschmidt, Hubert; 
Griffiths, Phillip A.) * Exterior differential systems. 92h:58007 

Cherednik, I. V. The main soliton theorem. 924:58075 

Chern, Shiing Shen see Bryant, Robert L.; et al., 92h:58007 

Fomenko, A. T. (with Fuks, D. B.) * Kypc romoronuueckok Tononorun. (Russian) [A 
course in homotopic topology] 92a:55001 

(Fordy, Allan P.) see Soliton theory: a survey of results, 92:58090 

Fuks, D. B. see Fomenko, A. T., 92a:55001 

Gardner, Robert B. see Bryant, Robert L.; et al., 92h:58007 

Goldschmidt, Hubert see Bryant, Robert L.; et al., 92h:58007 

Griffiths, Phillip A. see Bryant, Robert L.; et al., 92h:58007 

Ingraham, R. L. * A survey of nonlinear dynamics (“chaos theory”). 92m:58031 

Jost, Jiirgen * Two-dimensional geometric variational problems. 92h:58045 

Kapitaniak, Tomasz * Chaotic oscillations in mechanical systems. 92e:58136 

(Madzharova, Yana) see Atiyah, Michael Francis, 92m:57001 

Marmo, G. (with Rubano, C.) * Particle dynamics on fiber bundles. 92a:58049 

Rubano, C. see Marmo, G., 92a:58049 

Thibault, R. Some recent results obtained in Toulouse on dynamical systems. 92a:58077 


Items listed otherwise than by author 
Soliton theory: a survey of results * Soliton theory: a survey of results. 92f:58090 


58-03 Historical (must also be assigned at least one 
classification number from Section 01) 


(Madzharova, Yana) see Stewart, Ian N., 92m:58001 

Stewart, Ian N. The symplectic revolution. (Bulgarian) 92m:58001 

Thom, René Problémes rencontrés dans mon parcours mathématique: un bilan. [Problems 
encountered during my mathematical journey: an evaluation] 92a:58001 


Items with secondary classifications in 58-03 


Bemelmans, Josef (with Hildebrandt, Stefan; von Wahl, Wolf) Partielle Differentialgle- 
ichungen und Variationsrechnung. [Partial differential equations and calculus of varia- 
tions] 92e:01050 

Bott, Raoul H. The topological constraints on analysis. 92b:01039 

Feigenbaum, Mitchell J. see Veerman, J. J. P., 92d:58060 

Fordy, Allan P. Soliton theory: a brief synopsis. (see 92f:58090) 

Hildebrandt, Stefan see Bemelmans, Josef; et al., 92e:01050 

Holzfuss, Joachim see Lauterborn, Werner, 92a:58096 

Lauterborn, Werner (with Holzfuss, Joachim) Acoustic chaos. 92a:58096 

(Ollerenshaw, Kathleen) see Ollerenshaw point. Comment to: “Some personal delights in 
geometry—from earliest days to fractals” 

(Rokhlin, V. A.) see Vershik, A. M., 92m:01078b 

Veerman, J. J.P. (with Feigenbaum, Mitchell J.) Scaling behavior & thermodynamics. 
92d:58060 

Vershik, A. M. V. A. Rokhlin’s work in ergodic theory. (Russian) 92m:01078b 

von Wahl, Wolf see Bemelmans, Josef; et al., 92e:01050 


Items listed otherwise than by author 


Ollerenshaw point. Comment to: “Some personal delights in geometry—from earliest days to 
fractals” The Ollerenshaw point. Comment to: “Some personal delights in geometry— 
from earliest days to fractals” [Bull. Inst. Math. Appl. 27 (1991), no. 4, 65-75] by K. 
Ollerenshaw. 


58-04 Explicit machine computation and programs 
(not the theory of computation or programming) 


Abelson, H. The Bifurcation Interpreter: a step towards the automatic analysis of dynamical 
systems. 92a:58002 

Cerruti-Sola, Monica see Pettini, Marco, (92h:65011) 

Champagne, B. (with Hereman, Willy; Winternitz, Pavel) The computer calculation of Lie 
point symmetries of large systems of differential equations. 92f:58001 

Gragert, Peter K. H. (with Kersten, Paul H. M.) Graded differential geometry in REDUCE: 
supersymmetry structures of the modified KdV equation. 92h:58003 

— see also Kersten, Paul H. M., (92f:81008) 

Hereman, Willy see Champagne, B.; et al., 92f:58001 





58-04 


Kersten, Paul H. M. (with Gragert, Peter K. H.) Graded differential geometry in REDUCE 
3 and symmetries of super KdV equation. (see 92f:81008) 

— see also Gragert, Peter K. H., 92h:58003 

Pettini, Marco (with Cerruti-Sola, Monica) Numerical simulations of high-dimensional 
Hamiltonian dynamics. (see 92h:65011) 

Scovel, Clint Symplectic numerical integration of Hamiltonian systems. 92h:58004 

Wang, Dong Ming Mechanical manipulation for a class of differential systems. 92g:58002 

Winternitz, Pavel see Champagne, B.; et al., 92f:58001 


Items with secondary classifications in 58-04 

Azmy, Y. Y. (with Protopopescu, V.) On the dynamics of a discrete reaction-diffusion 
system. 92k:58134 

Chekanov, N. A. (with Gonchar, V. Yu.; Markovskii, B. L.; Vinitskii, S. I.) * Normal form 
and approximate integrals of two-dimensional Hamiltonian systems. 92k:58244 

Chicone, Carmen (with Jacobs, Marc) On a computer algebra aided proof in bifurcation 
theory. 92e:58142 

Czichowski, Giinter Lie theory of differential equations and computer algebra. 92h:58176 

Fujimoto, Atsuo (with Watanabe, Yoshihide) Classification of fifth-order polynomial 
evolution equations of not normal type admitting infinitely many symmetries. 92b:58213 

Gamero, Estanislao see Ponce, Enrique, 92e:58147 

Gerdt, V. P. (with Zharkov, A. Yu.) * AnropxHTMbi HccneqOBaHHA HHTerpHpyeMocTH 
KBa3HJIMHEHHBIX SBOJIONMOHHBIX CHCTEM C HEBLIPORACHHOM riaBHOK MaTpuuel. (Russian) 
[Algorithms for investigating the integrability of quasilinear evolution systems with a 
nonsingular principal matrix] 92f:58080 

Gonchar, V. Yu. see Chekanov, N. A.; et al., 92k:58244 

Greenspan, Donald see Marciniak, Andrzej, 92h:65189 

Guckenheimer, John Computational environments for exploring dynamical systems. 
924:58134 

— see also Kim, Seung-hwan, 924:58152 

Haddak, Akli see P t, Jean-F; 92i:58208 

Hartley, David (with Tucker, Robin W.) A constructive implementation of the Cartan- 
K&hler theory of exterior differential systems. 92i:58005 

Jacobs, Marc see Chicone, Carmen, 92e:58142 

Kim, Seung-hwan (with Guckenheimer, John) The two-dimensional torus: numerical 
explorations and mathematical conjectures. 92d:58152 

Marciniak, Andrzej (with Greenspan, Donald) Arbitrary order, Hamiltonian conserving 
numerical solutions of Calogero and Toda systems. 92h:65189 

Markovskii, B. L. see Chekanov, N. A.; et al., 92k:58244 

Pommaret, Jean-Francois (with Haddak, Akli) Effective methods for systems of algebraic 
partial differential equations. 92i:58208 

Ponce, Enrique (with Gamero, Estanislao) Generating Hopf bifurcation formulae with 
MAPLE. 92¢:58147 

Protopopescu, V. see Azmy, Y. Y., 92k:58134 

Roberts, A. J. Low dimensionality—approximations in mechanics. (see 924:00025) 

Sauer, Tim (with Yorke, James A.) Shadowing trajectories of dynamical systems. 
92c:58083 

Sextro, Walter see Stelter, Peter, 92b:58163 

Stelter, Peter (with Sextro, Walter) Bifurcations in dynamic systems with dry friction. 
92b:58163 

Tucker, Robin W. see Hartley, David, 92i:58005 

Vinitskii, S. I. see Chekanov, N. A.; et al., 92k:58244 

Watanabe, Yoshihide see Fujimoto, Atsuo, 92b:58213 

Wu, Yu Hua? Symplectic transformation and symplectic difference schemes. 92e:58078 

Yip, Kenneth Man-Kam Understanding complex dynamics by visual and symbolic 
reasoning. 92m:68110 

Yorke, James A. see Sauer, Tim, 92c:58083 

Zharkov, A. Yu. see Gerdt, V. P., 92f:58080 





58-06 Proceedings, conferences, collections, etc. 


(Ames, W. F.) see Nonlinear equations in the applied sciences, 92d:58002 

(Aoki, Nobuo) see Study of dynamical systems, 92b:58005 

(Bélair, Jacques) see Fractal geometry and analysis, 92f:58002 

(Bogolyubov, N. N.) see Solitons and applications, 92i:58002 

(Borisovich, Yu. G.) see Global analysis—studies and applications, 92b:58001 

(Bountis, Tassos) see Singular behavior and nonlinear dynamics, 92d:58003 and 92d:58004 

(Campbell, David K.) see Chaos/Xaoc, 92c:58001 

(Dewar, R. L.) see Nonlinear dynamics and chaos, 92k:58003 

(Donato, Paul) see Symplectic geometry and mathematical physics, 92k:58004 

(Dubuc, Serge) see Fractal geometry and analysis, 92f:58002 

(Duval, Christian) see Symplectic geometry and mathematical physics, 92k:58004 

(Elhadad, J.) see Symplectic geometry and mathematical physics, 92k:58004 

(Fedyanin, V. K.) see Solitons and applications, 92i:58002 

(Fomenko, A. T.) see Topological classification of integrable systems, 92i:58003 

(Gallavotti, Giovanni) see Nonlinear evolution and chaotic phenomena, 92f:58003 

(Gamkrelidze, R. V.) see Current problems in mathematics. Newest results, 92m:58002 

(Gindikin, S.G.) see Theory of operators in function spaces, 92f:58004 

(Gliklikh, Yu. E.) see Global analysis—studies and applications, 92b:58001 and Nonlinear 
operators in global analysis, 92m:58004 

(Henry, B.1.) see Nonlinear dynamics and chaos, 92k:58003 

(Ikegami, Giké) see Stability theory and related topics in dynamical systems, 92b:58004 

(Jones, Christopher K. R. T.) see Dynamics reported: expositions in dynamical systems, 
92k:58002 

(Kirchgraber, U.) see Dynamics reported: expositions in dynamical systems, 92k:58002 

(Lundqvist, S.O.) see Order and chaos in nonlinear physical systems, 92i:58001 

(Makhan’kov, V.G.) see Solitons and applications, 92i:58002 

(March, Norman H.) see Order and chaos in nonlinear physical systems, 92i:58001 

(Pashaev, O. K.) see Solitons and applications, 92i:58002 

(Pnevmatikos, Spyros) see Singular behavior and nonlinear dynamics, 92d:58003 and 
924:58004 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 1992 962 


(Pnevmatikos, Stéphanos) see Singular behavior and nonlinear dynamics, 924:58003 and 
92d:58004 

(Ratiu, T.S.) see Geometry of Hamiltonian systems, 92c:58002 

(Rogers, Colin) see Nonlinear equations in the applied sciences, 92d:58002 

(Shiraiwa, K.) see Stability theory and related topics in dynamical systems, 92b:58004 and 

systems and related topics, 92m:58003 

(Song, Xing Chang) see Integrable systems, 92b:58002 

(Souriau, Jean-Marie) see Symplectic geometry and mathematical physics, 92k:58004 

(Tosi, Mario P.) see Order and chaos in nonlinear physical systems, 92i:58001 

(Turchetti, Giorgio) see Nonlinear dynamics, 92b:58003 

(Tuynman, G. M.) see Symplectic geometry and mathematical physics, 92k:58004 

(Walther, Hans-Otto) see Dynamics reported: expositions in dynamical systems, 92k:58002 

(Zweifel, Paul F.) see Nonlinear evolution and chaotic phenomena, 92:58003 


Items listed otherwise than by author 
Aix-en-Provence * Symplectic geometry and mathematical physics. 92k:58004 
All-Union School: 
Theory of Operators in Function Spaces * Teopus onepaTopos B dbyHKWMOHAJIbHBIX 
mpoctpaxctsax. (Russian) [Theory of operators in function spaces] 92f:58004 
All-Union Seminar: 
Solitons in Nonintegrable Systems * Solitons and applications. 92i:58002 
Berkeley, CA * The geometry of Hamiltonian systems. 92c:58002 
Birthday: 
Bogolyubov, N. N. * Solitons and applications. 92i:58002 
Bologna * Nonlinear dynamics. 92b:58003 
Canberra * Nonlinear dynamics and chaos. 92k:58003 
Chaos/Xaoc * Chaos/Xaoc. 92c:58001 
Colloquium: 
Symplectic Geometry and Mathematical Physics * Symplectic geometry and mathemati- 
cal physics. 92k:58004 
Conference: 
Chaos * Chaos/Xaoc. 92c:58001 
Dynamical Systems and Related Topics * Dynamical systems and related topics. 
92m:58003 
Nonlinear Dynamics * Nonlinear dynamics. 92b:58003 
Singular Behavior and Nonlinear Dynamics * Singular behavior and nonlinear dynamics. 
Vol. 1. 92d:58003 
— * Singular behavior and nonlinear dynamics. Vol. 2. 924:58004 
Stability Theory and Related Topics in Dynamical Systems * Stability theory and related 
topics in dynamical systems. 92b:58004 
Study of Dynamical Systems * The study of dynamical systems. 92b:58005 
Current problems in mathematics. Newest results * Cosp 1e mpo6, 1 MaTeMaTHKH. 
Hosetiumme focTuxenus. Tom 38. (Russian) [Current problems in mathematics. Newest 
results. Vol. 38] 92m:58002 
— * Current problems in mathematics. Newest results. Vol. 34. 92e:58001 
— * Current problems in mathematics. Newest results. Vol. 35. 92e:58002 
Dubna * Solitons and applications. 92i:58002 
Dynamical systems and related topics * Dynamical systems and related topics. 92m:58003 
Dynamics reported: expositions in dynamical systems * Dynamics reported: expositions in 
dynamical systems. 92k:58002 
Fractal geometry and analysis * Fractal geometry and analysis. 92f:58002 
Geometry of Hamiltonian systems * The geometry of Hamiltonian systems. 92c:58002 
Global analysis—studies and applications * Global analysis—studies and applications. IV. 
92b:58001 
Integrable systems * Integrable systems. 92b:58002 
Itogi Nauki i Tekhniki * Cospemenubie npo6membI MaTemaTuKH. Hopeftuime JocTHxKeHHA. 
Tom 38. (Russian) [Current problems in mathematics. Newest results. Vol. 38] 
92m:58002 
Kuybyshev * Teopus onepatopos B dbyHKUMOHaJIbHBIX MpoctpaHctsBax. (Russian) [Theory of 
operators in function spaces] 92f:58004 
Kyoto * The study of dynamical systems. 92b:58005 
Lecture Notes in Mathematics * Global analysis—studies and applications. IV. 92b:58001 
Montreal, PQ * Fractal geometry and analysis. 92f:58002 
Nagoya * Stability theory and related topics in dynamical systems. 92b:58004 
— * Dynamical systems and related topics. 92m:58003 
NATO Advanced Study Institute: 
Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 
Nonlinear Evolution and Chaotic Phenomena * Nonlinear evolution and chaotic 
phenomena. 92f:58003 
Nonlinear dynamics * Nonlinear dynamics. 92b:58003 
Nonlinear dynamics and chaos * Nonlinear dynamics and chaos. 92k:58003 
Nonlinear equations in the applied sciences * Nonlinear equations in the applied sciences. 
92d:58002 
Nonlinear evolution and chaotic phenomena * Nonlinear evolution and chaotic phenomena. 
92£:58003 
Nonlinear operators in global analysis * HenuHeftubie onepatopbi B rm06abHOM aHasiH3e. 
(Russian) [Nonlinear operators in global analysis] 92m:58004 
Noto * Nonlinear evolution and chaotic phenomena. 92f:58003 
Order and chaos in nonlinear physical systems * Order and chaos in nonlinear physical 
systems. 92i:58001 
Progress in Mathematics * Symplectic geometry and mathematical physics. 92k:58004 
Samos * Singular behavior and nonlinear dynamics. Vol. 1. 92d:58003 
— * Singular behavior and nonlinear dynamics. Vol. 2. 924:58004 
School: 
Nonlinear Dynamics and Chaos * Nonlinear dynamics and chaos. 92k:58003 
Seminar: 
Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 
Singular behavior and nonlinear dynamics * Singular behavior and nonlinear dynamics. Vol. 
1. 92d:58003 
— * Singular behavior and nonlinear dynamics. Vol. 2. 92d:58004 








963 1992 


Solitons and applications * Solitons and applications. 92i:58002 

Stability theory and related topics in dynamical systems * Stability theory and related topics 
in dynamical systems. 92b:58004 

Study of dynamical systems * The study of dynamical systems. 92b:58005 

Symplectic geometry and mathematical physics * Symplectic geometry and mathematical 
physics. 92k:58004 

Theory of operators in function spaces * Teopusa onepaTopos B (byHKIMOHaJIbHbIX 
mpoctpaxctsax. (Russian) [Theory of operators in function spaces] 92f:58004 

Tianjin * Integrable systems. 92b:58002 

Topological classification of integrable systems * Topological classification of integrable 
systems. 92i:58003 

Woods Hole, MA * Chaos/Xaoc. 92c:58001 

Workshop: 
Geometry of Hamiltonian Systems * The geometry of Hamiltonian systems. 92c:58002 
Integrable Dynamical System and Low-dimensional Condensed Matter Physics 

* Integrable systems. 92b:58002 

Solitons and Applications * Solitons and applications. 92i:58002 


Items with secondary classifications in 58-06 

(Asorey, Manuel) see Integrability and quantization, 92d:81003 

(Atmanspacher, Harald) see Information dynamics, 92f:00011 

(Bartocci, Claudio) see Differential geometric methods in theoretical physics, 92g:00021 

(Bar'yakhtar, V.G.) see Integrability and kinetic equations for solitons, 92m:00028 

(Benoit, E.) see Dynamic bifurcations, 92m:58034 

(Brown, Morton) see Continuum theory and dynamical systems, 92a:00038 

(Bruzzo, Ugo) see Differential geometric methods in theoretical physics, 92g:00021 

(BureS, Jarolim) see Proceedings: School on Geometry and Physics, 92i:00027 

(Busenberg, Stavros N.) see Delay differential equations and dynamical systems, 92f:34057 

(Campbell, David K.) see Nonlinear science: the next decade, 92d:00030 

(Carifiena, José F.) see Integrability and quantization, 92d:81003 

(Chernousenko, V. M.) see Integrability and kinetic equations for solitons, 92m:00028 

(Cianci, Roberto) see Differential geometric methods in theoretical physics, 92g:00021 

(Coelho, Z.) see Workshop: Dynamical Systems, 92m:58036 

(Combet, Edmond) see Global analysis and mathematical physics, 92d:00028 

(Cooke, Kenneth L.) see Delay differential equations and dynamical systems, 92f:34057 

(Cordero, Patricio) see Nonlinear phenomena in fluids, solids and other complex systems, 
92m:82005 

(Cruzeiro, Ana Bela) see Stochastic analysis and applications, 92m:60006 

(Doebner, H.-D.) see Lectures on supermanifolds, geometrical methods and conformal groups, 
92b:00041 

(Ecke, Robert E.) see Nonlinear science: the next decade, 92d:00030 

(Exner, Pavel) see Order, disorder and chaos in quantum systems, 92c:00015 

(Fronzoni, Leone) see Dynamical symmetries and chaotic behaviour in physical systems, 
92¢:58025 

(Gaponov-Grekhov, A. V.) see Nonlinear waves, 92d:00031 

(Garbaczewski, Piotr) see Nonlinear fields: classical, random, semiclassical, 92i:00025 

(Gel’fand, I. M.) see Geometry and physics, 92k:00025 

(Gindikin, S.G.) see Geometry and physics, 92k:00025 

(Gu, Chao Hao) see Nonlinear physics, 92b:00043 

(Hennig, Jérg D.) see Lectures on supermanifolds, geometrical methods and conformal 
groups, 92b:00041 

(Hussin, Véronique) see Lie theory, differential equations and representation theory, 
92b:00042 

(Hyman, James M.) see Nonlinear science: the next decade, 92d:00030 

(Ibort, Luis Alberto) see Integrability and quantization, 92d:81003 

(Krzyzewski, Karol) see Dynamical systems and ergodic theory, 92b:58060 

(Levi, D.) see Symmetries and nonlinear phenomena, 92b:00046 

(Li, Yi Shen) see Nonlinear physics, 92b:00043 

(Maino, Giuseppe) see Dynamical symmetries and chaotic behaviour in physical systems, 
92¢:58025 

(Martelli, Mario) see Delay differential equations and dynamical systems, 92f:34057 

(Nachtergaele, Bruno) see Nonlinear phenomena in fluids, solids and other complex systems, 
92m:82005 

(Neidhardt, Hagen) see Order, disorder and chaos in quantum systems, 92c:00015 

(Nicas, Andrew J.) see Differential geometry, global analysis, and topology, 92m:00041 

(Ochiai, Takushiro) see Recent topics in differential and analytic geometry, 92h:32001 and 
Kahler metric and moduli spaces, 92i:32003 

(Oliker, Vladimir) see Geometry and nonlinear partial differential equations, 92k:53001 

(Palev, Tchavdar D.) see Lectures on supermanifolds, geometrical methods and conformal 
groups, 92b:00041 

(Pettini, Marco) see Dynamical symmetries and chaotic behaviour in physical systems, 
92¢:58025 

(Popowicz, Z.) see Nonlinear fields: classical, random, semiclassical, 92i:00025 

(Rabinovich, M.1.) see Nonlinear waves, 92d:00031 

(Roberts, Mark) see Singularity theory and its applications, 92d:00036 

(Scheingraber, Herbert) see Information dynamics, 92f:00011 

(Shadwick, William F.) see Differential geometry, global analysis, and topology, 92m:00041 

(Sharkovskii, A. N.) see Dynamical systems and nonlinear phenomena, 92b:00028 

(Shiels, E.) see Workshop: Dynamical Systems, 92m:58036 

(Sinai, Ya. G.) see Dynamical systems and statistical mechanics, 92b:82003 and Dynamical 
systems, 92d:58054 

(Singer, I.M.) see Geometry and physics, 92k:00025 

(Solomon, Allan I.) see Differential geometric methods in theoretical physics, 924:00027 

(Sosinskii, A. B.) see Dynamical systems and statistical mechanics, 92b:82003 

(Soutek, V.) see Proceedings: School on Geometry and Physics, 92i:00027 

(Stewart, Ian N.) see Singularity theory and its applications, 92d:00036 

(Thom, René) see Workshop: Dynamical Systems, 92m:58036 

(Treibergs, Andrejs) see Geometry and nonlinear partial differential equations, 92k:53001 

(Tu, Gui Zhang) see Nonlinear physics, 92b:00043 

(Vinogradov, A.M.) see Symmetries of partial differential equations, 92b:58252 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


(Winternitz, Pavel) see Symmetries and nonlinear phenomena, 92b:00046 
(Zakharov, V. E.) see Integrability and kinetic equations for solitons, 92m:00028 
(Zambrini, Jean-Claude) see Stochastic analysis and applications, 92m:60006 


Items listed otherwise than by author 
Analyse globale et physique mathématique * Analyse globale et physique mathématique. 
(French) [Global analysis and mathematical physics] 92d:00028 
Arcata,CA %* Continuum theory and dynamical systems. 92a:00038 
Bifurcation phenomena in nonlinear systems and theory of dynamical systems * Hisenkei 
kei ni mirareru bunki gensh6 to rikigaku kei riron. [Bifurcation phenomena in nonlinear 
systems and theory of dynamical systems] 92¢:58024 
Birthday: 
Cooke, Kenneth * Delay differential equations and dynamical systems. 92f:34057 
Thom, René * Workshop on Dynamical Systems. 92m:58036 
Bologna * Dynamical symmetries and chaotic behaviour in physical systems. 92c:58025 
Chester * Differential geometric methods in theoretical physics. 92d:00027 
Claremont, CA * Delay differential equations and dynamical systems. 92f:34057 
Colloquium: 
Combet, Edmond * Analyse globale et physique mathématique. (French) [Global 
analysis and mathematical physics] 92d:00028 
Conference: 
Center for Nonlinear Studies * Nonlinear science: the next decade. 92d:00030 
Continuum Theory and Dynamical Systems * Continuum theory and dynamical systems. 
92a:00038 
Differential Equations and Applications to Biology and Population Dynamics * Delay 
differential equations and dynamical systems. 92f:34057 
Differential Geometric Methods in Theoretical Physics * Differential geometric methods 
in theoretical physics. 92d:00027 
— * Differential geometric methods in theoretical physics. 92g:00021 
Dynamic Bifurcations * Dynamic bifurcations. 92m:58034 
Nonlinear Physics * Nonlinear physics. 92b:00043 
Nonlinear Science: the Next Decade * Nonlinear science: the next decade. 924:00030 
Order, Disorder and Chaos in Quantum Systems * Order, disorder and chaos in quantum 
systems. 92c:00015 
Stochastic Analysis and Applications * Stochastic analysis and applications. 92m:60006 
Symmetries and Nonlinear Phenomena * Symmetries and nonlinear phenomena. 
92b:00046 
Contemporary Mathematics * Continuum theory and dynamical systems. 92a:00038 
— * Geometry and nonlinear partial differential equations. 92k:53001 
Continuum theory and dynamical systems * Continuum theory and dynamical systems. 
92a:00038 
Coventry * Singularity theory and its applications. Part II. 92d:00036 
Delay differential equations and dynamical systems * Delay differential equations and 
dynamical systems. 92f:34057 
Differential geometric methods in theoretical physics * Differential geometric methods in 
theoretical physics. 92d:00027 
— * Differential geometric methods in theoretical physics. 92g:00021 
Differential geometry, global analysis, and topology * Differential geometry, global analysis, 
and topology. 92m:00041 
Dubna * Order, disorder and chaos in quantum systems. 92c:00015 
Dynamic bifurcations * Dynamic bifurcations. 92m:58034 
and chaotic behaviour in physical systems * Dynamical symmetries 
and chaotic behaviour in physical systems. 92c:58025 
Dynamical systems * Dynamical systems. 92d:58054 
Dynamical systems and ergodic theory * Dynamical systems and ergodic theory. 92b:58060 
Dynamical systems and nonlinear phenomena * J|mHamHuecKHe CHCTeMbI H HeJIMHeMHBIC 
apjeHua. (Russian) [Dynamical systems and nonlinear phenomena] 92b:00028 
Dynamical systems and statistical mechanics * Dynamical systems and statistical mechan- 
ics. 92b:82003 
Fayetteville, AR * Geometry and nonlinear partial differential equations. 92k:53001 
Geometry and nonlinear partial differential equations * Geometry and nonlinear partial 
differential equations. 92k:53001 
Geometry and physics * Geometry and physics. 92k:00025 
Global analysis and mathematical physics * Analyse globale et physique mathématique. 
(French) [Global analysis and mathematical physics] 92d:00028 
Halifax, NS * Differential geometry, global analysis, and topology. 92m:00041 
Information dynamics * Information dynamics. 92f:00011 
Integrability and kinetic equations for solitons * MuterpupyemocT» H KAHeTHYeCKHe 
ypaBHeHHa 21a comuTouos. (Russian) [Integrability and kinetic equations for solitons] 
92m:00028 
Integrability and quantization * Integrability and quantization. 92d:81003 
Irsee * Information dynamics. 92f:00011 
Jaca * Integrability and quantization. 92d:81003 
Kahler metric and moduli spaces * Kahler metric and moduli spaces. 92i:32003 
Karpacz * Nonlinear fields: classical, random, semiclassical. 92i:00025 
Lecture Notes in Mathematics * Singularity theory and its applications. Part II. 924:00036 
— * Delay differential equations and dynamical systems. 92f:34057 
— * Dynamic bifurcations. 92m:58034 
Lecture Notes in Physics * Differential geometric methods in theoretical physics. 
92g:00021 
Lectures on supermanifolds, geometrical methods and conformal groups * Lectures on 
supermanifolds, geometrical methods and conformal groups. 92b:00041 
Lie theory, differential equations and representation theory * Lie theory, differential 
equations and representation theory. 92b:00042 
Lisbon * Stochastic analysis and applications. 92m:60006 
Los Alamos, NM * Nonlinear science: the next decade. 924:00030 
Luminy * Dynamic bifurcations. 92m:58034 
Lyon * Analyse globale et physique mathématique. (French) [Global analysis and 
mathematical physics] 92d:00028 





58-06 


Meeting: 
Cazadian Mathematical Society * Differential geometry, global analysis, and topology. 
92m:00041 
Microlocal analysis and its applications * Chokyokusho kaiseki to sono dy6. (Japanese) 
[Microlocal analysis and its applications] 92d:58200 
Montpellier * Séminaire Gaston Darboux de Géométrie et Topologie Différentielle. 1989- 
1990. (French) [Gaston Darboux Seminar on Geometry and Differential Topology. 1989- 
1990] 92c:53001 
Montreal, PQ * Lie theory, differential equations and representation theory. 92b:00042 
Moscow * Dynamical systems and statistical mechanics. 92b:82003 
NATO Advanced Study Institute: 
Information Dynamics * Information dynamics. 92f:00011 
Nonlinear fields: classical, random, semiclassical * Nonlinear fields: classical, random, 
semiclassical. 92i:00025 
Nonlinear phenomena in fluids, solids and other complex systems * Nonlinear phenomena in 
fluids, solids and other complex systems. 92m:82005 
Nonlinear physics * Nonlinear physics. 92b:00043 
Nonlinear science: the next decade * Nonlinear science: the next decade. 924:00030 
Nonlinear waves * Henuuetinnie pomubi. (Russian) [Nonlinear waves] 92d:00031 
Order, disorder and chaos in quantum systems * Order, disorder and chaos in quantum 
systems. 92c:00015 
Paipa * Symmetries and nonlinear phenomena. 92b:00046 
Proceedings: 
School on Geometry and Physics * Proceedings of the Winter School on Geometry and 
Physics. 92i:00027 
Rapallo * Differential geometric methods in theoretical physics. 92g:00021 
Recent topics in differential and analytic geometry * Recent topics in differential and 
analytic geometry. 92h:32001 
Santiago * Nonlinear phenomena in fluids, solids and other complex systems. 92m:82005 
School: 
Geometry and Physics * Proceedings of the Winter School on Geometry and Physics. 
92i:00027 
Theoretical Physics * Nonlinear fields: classical, random, semiclassical. 92i:00025 
Seminar: 
Geometry and Differential Topology * Séminaire Gaston Darboux de Géométrie 
et Topologie Différentielle. 1989-1990. (French) [Gaston Darboux Seminar on 
Geometry and Differential Topology. 1989-1990] 92c:53001 
Integrability and Quantization * Integrability and quantization. 92d:81003 
Lie Theory, Differential Equations and Representation Theory * Lie theory, differential 
equations and representation theory. 92b:00042 
Partial Differential Equations * Séminaire sur les Equations aux Dérivées Partielles. 
1990-1991. (French) [Seminar on Partial Differential Equations. 1990-1991] 
92:35007 
Statistical Physics * Dynamical systems and statistical mechanics. 92b:82003 
Theoretical Physics * Integrability and quantization. 92d:81003 
Session: 
Differential Geometry, Global Analysis, and Topology * Differential geometry, global 
analysis, and topology. 92m:00041 
Geometry, Physics and Nonlinear Partial Differential Equations * Geometry and 
nonlinear partial differential equations. 92k:53001 
Shanghai * Nonlinear physics. 92b:00043 
Singularity theory and its applications * Singularity theory and its applications. Part II. 
92d:00036 
Some problems on the theory of dynamical systems in applied sciences * Oyo bunya ni okeru 
rikigaku kei riron no shomondai. (Japanese) [Some problems on the theory of dynamical 
systems in applied sciences] 92m:58035 
Srni * Proceedings of the Winter School on Geometry and Physics. 92i:00027 
Stochastic analysis and applications * Stochastic analysis and applications. 92m:60006 
Symbolic calculus * Symbolic calculus. (Japanese) 92k:32001 
Symmetries and nonlinear phenomena * Symmetries and nonlinear phenomena. 92b:00046 
Symmetries of partial differential equations * Symmetries of partial differential equations. 
92b:58252 
Symposium: 
Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems 
* Hisenkei kei ni mirareru bunki gensh6 to rikigaku kei riron. [Bifurcation phenomena 
in nonlinear systems and theory of dynamical systems] 92c¢:58024 
Microlocal Analysis and its Applications * Chdkyokusho kaiseki to sono dy6. (Japanese) 
[Microlocal analysis and its applications] 92d:58200 
Singularity Theory and its Applications * Singularity theory and its applications. Part II. 
92d:00036 
Some Problems on the Theory of Dynamical Systems in Applied Sciences * Oyo bunya ni 
okeru rikigaku kei riron no shomondai. (Japanese) [Some problems on the theory of 
dynamical systems in applied sciences] 92m:58035 
Symbolic Calculus * Symbolic calculus. (Japanese) 92k:32001 
Variational Problems and Related Topics * Henbun mondai to sono shuhen. [Variational 
problems and related topics] 92b:49004 
Trieste * Workshop on Dynamical Systems. 92m:58036 
Variational problems and related topics * Henbun mondai to sono shuhen. [Variational 
problems and related topics] 92b:49004 
Warsaw * Dynamical systems and ergodic theory. 92b:58060 
Workshop: 
Dynamical Systems * Workshop on Dynamical Systems. 92m:58036 
Mathematical Physics and Nonlinear Dynamics * Dynamical symmetries and chaotic 
behaviour in physical systems. 92¢:58025 
Nonlinear Phenomena * Nonlinear phenomena in fluids, solids and other complex 
systems. 92m:82005 


58Axx General theory of differentiable manifolds 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 964 


58A03 Topos-theoretic approach to differentiable manifolds 


Items with secondary classifications in 58A03 

Cabras, Antonella (with Kolai, Ivan; Modugno, Marco) General structured bundles. 
92m:18015 

Guts, A. K. A topos-theoretic approach to the foundations of relativity theory. (Russian) 
92m:83083 

Kola, Ivan see Cabras, Antonella; et al., 92m:18015 

Modugno, Marco see Cabras, Antonella; et al., 92m:18015 


58A05 Differentiable manifolds, foundations 


Esrafilian, Ebrahim Normal structures on manifolds, and the system of partial differential 
equations of geodesics. 92b:58006 

Papuc, Dan I. Ordered tangent structures associated to a differentiable manifold with a 
regular field of tangent cones. 92e:58003 


Items with secondary classifications in 58A05 
Grandis, Marco Cohesive categories and manifolds. (Italian summary) 92m:18016 


Kasper, U. Fibre bundles: an introduction to concepts of modern differential geometry. 
92g:53002 


58A07 Real-analytic and Nash manifolds [see also 14P20, 
32C07] 


Items with secondary classifications in 58A07 


Tancredi, A. (with Tognoli, A.) On the extension of Nash functions. 92c:32011 
Tognoli, A. see Tancredi, A., 92c:32011 


58A10 Differential forms 


Asvad, Kh. Linearly independent 1-forms. (Russian. Ukrainian summary) 92b:58007 

Cai, Kai Ren see Liu, Ji Zhi; et al., 92b:58008 

Chekalov, I. V. Cartan extensions of stabilizers of exterior forms. (Russian) 92k:58005 

Edelen, Dominic G. B. Nonlinear homotopy and pre-Poincaré lemmas. 92i:58004 

Gickeler, M. (with Schiicker, Thomas) Differential forms and gauge theories. (see 
92£:81009) 

Liu, Ji Zhi (with Cai, Kai Ren) The duality of conformal Killing p-forms on Riemannian 
manifolds. (Chinese summary) 92b:58008 

Mei, Xiang Ming Holomorphic vector fields and characteristic forms on a Hermitian 
manifold. 92f:58005 

Pitis, Gheorghe Integration on Riemannian foliated manifolds. (Romanian summary) 
92g:58003 

Schiicker, Thomas see Géckeler, M., (92f:81009) 

Stone, Alexander P. On a covariant constant vector 1-form. 92g:58004 


Items with secondary classifications in 58A10 

Bossavit, Alain Differential forms and the computation of fields and forces in electromag- 
netism. 92m:78004 

Carow-Watamura, U. (with Schlieker, M.; Watamura, Satoshi) SO,(N) covariant differ- 
ential calculus on quantum space and quantum deformation of Schrédinger equation. 
92e:58015 

Chern, Shiing Shen Transgression in associated bundles. 92g:53019 

Exel, Ruy (with Loring, Terry A.) Extending cellular cohomology to C*-algebras. 
92¢:46137 

Getzler, Ezra (with Jones, John D. S.; Petrack, Scott) Differential forms on loop spaces and 
the cyclic bar complex. 92i:58179 

Hong, Suk Ho see Shikata, Yoshihiro, 92k:49087 

Jones, John D.S. see Getzler, Ezra; et al., 92i:58179 

Kostov, V. P. Versal deformations of differential forms of real degree on the real line. 
(Russian) 92d:58016 

Lojasiewicz, Stanislaw Théoréme de Pawlucki. La formule de Stokes sous-analytique. 
[Pawlucki’s theorem. The subanalytic Stokes formula] 92j:32020 

Loring, Terry A. see Exel, Ruy, 92e:46137 

Martinez, Eduardo see Sarlet, W., 92m:58049 

Meziani, Abdelhamid Condition P for singular real analytic differential forms in the plane. 
92k:35009 

Mukhin, E. E. Yang-Baxter operators and the noncommutative de Rham complex. 
(Russian) 92k:17004 

Pansu, Pierre Cohomologie L’ des variétés 4 courbure négative, cas du degré 1. [L?- 
cohomology of negatively curved manifolds: the degree 1 case] 92e:58200 

Petrack, Scott see Getzler, Ezra; et al., 92i:58179 

Sarlet, W. (with Martinez, Eduardo) Derivations of semi-basic forms and symmetries of 
second-order equations. 92m:58049 

Schlieker, M. see Carow-Watamura, U.; et al., 92e:58015 

Schmidke, W. B. (with Vokos, S. P.; Zumino, Bruno) Differential geometry of the quantum 
supergroup GL,(1|1). 92g:58008 

Shikata, Yoshihiro (with Hong, Suk Ho) A generalization of differential forms and its 
application. 92k:49087 

Soni, S. K. Differential calculus on the quantum superplane. 92e:58020 

Tanemura, T. see Yorozu, Shinsuke, 92e:53039 

Vokos, S. P. see Schmidke, W. B.; et al., 92g:58008 

Watamura, Satoshi see Carow-Watamura, U.; et al., 92e:58015 

Yorozu, Shinsuke (with Tanemura, T.) Green’s theorem on a foliated Riemannian 
manifold and its applications. 92e:53039 

Zumino, Bruno see Schmidke, W. B.; et al., 92g:58008 





965 1992 


58A12 de Rham theory [see also 14Fxx] 


Apostolova, L. N. The Poincaré lemma for RC-structures with zero Levi form. 92k:58006 

Félix, Yves (with Lavendhomme, R.) On de Rham’s theorem in synthetic differential 
geometry. 92a:58003 

Iversen, Birger Cauchy residues and de Rham homology. 92e:58004 

Lavendhomme, R. see Félix, Yves, 92a:58003 

Law, Peter R. Pseudo-Riemannian metrics and Hirzebruch signature. 92f:58006 

Teleman, Nicolae The algebra of piecewise differentiable currents on smooth manifolds. 
92h:58005 

— Characteristic classes of piecewise differentiable affine connections on smooth manifolds. 
92h:58006 


Items with secondary classifications in 58A12 


Abougqateb, Abdelhak Isomorphisme de Thom et théor¢me de de Rham, sur les variétés 
stratifiées. (English summary) [The Thom isomorphism and the de Rham theorem on 
stratified manifolds} 92h:58011 

Abramov, Viktor Anatol/evich On the geometric approach to topological quantum field 
theory. (Russian summary) 92a:58025 

Godbillon, Claude Une construction nouvelle des classes caractéristiques des feuilletages. 
(English summary) [A new construction of the characteristic classes of foliations] 
92b:57038 

Goldshtein, V.M. (with Kuz'minov, V. I.; Shvedov, I. A.) Reduced Lp-cohomology of 
warped products. (Russian) 92a:58131 

— (with Kuz'minov, V. I.; Shvedov, I. A.) L,-cohomology of warped cylinders. (Russian) 
92g:58136 

Griffiths, Phillip A. (with Morgan, John Willard) * Pannonanbuas Teopus romoTonul 4 
aubdepenunanbubie dopmi. (Russian) (Rational homotopy theory and differential forms] 
92£:55013 

Gromov, Mikhael L. (with Shubin, M. A.) von Neumann spectra near zero. 92i:58184 

Kim, Hong-Jong Generalized connections and characteristic classes. 92i:53022 

Kuz'minov, V. 1. see Gol/dshtein, V. M.; et al., 92a:58131 and 92g:58136 

Lehmann, Daniel Variétés stratifiées C°°: intégration de Cech-de Rham, et théorie de 
Chern-Weil. [C™ stratified manifolds: Cech-de Rham integration and Chern-Weil theory] 
92a:58007 

Min-Oo, Maung (with Ruh, Ernst A.; Tondeur, Philippe) Vanishing theorems for the basic 
cohomology of Riemannian foliations. 92b:58218 

Morgan, John Willard see Griffiths, Phillip A., 92f:55013 

(Pazhitnov, A. V.) see Griffiths, Phillip A., 92f:55013 

Ruh, Ernst A. see Min-Oo, Maung; et al., 92b:58218 

Shubin, M. A. see Gromov, Mikhael L., 92i:58184 

Shvedov, I. A. see Gol/dshtein, V. M.; et al., 92a:58131 and 92g:58136 

Tondeur, Philippe see Min-Oo, Maung; et al., 92b:58218 


58A14 Hodge theory [see also 14C30, 14F xx, 32J25, 32S35] 

Arai, Asao (with Mitoma, Itaru) de Rham-Hodge-Kodaira decomposition in co- 
dimensions. 92k:58007 

McLeod, Kevin (with Picard, Rainer H.) A compact imbedding result on Lipschitz 
manifolds. 92j:58001 

Mitoma, Itaru see Arai, Asao, 92k:58007 

Picard, Rainer H. see McLeod, Kevin, 92j:58001 


Items with secondary classifications in 58A14 

Alvarez Lépez, Jestis A. (with Tondeur, Philippe) Hodge decomposition along the leaves of 
a Riemannian foliation. 92f:58172 

Arens, Richard The gauge invariant currents of the Maxwellian field. 92c:78003 

Bai, Zheng Guo The harmonic forms on a compact Riemannian manifold. (Chinese) 
92b:53085 

Gaveau, Bernard (with Okada, Masami) Differential forms and heat diffusion on one- 
dimensional singular varieties. (French summary) 92a:58135 

Gromov, Mikhael L. (with Shubin, M. A.) von Neumann spectra near zero. 92i:58184 

— Kahler hyperbolicity and L2-Hodge theory. 92a:58133 

Klimek, Slawomir (with Lesniewski, Andrzej) Local rings of singularities and N = 2 
supersymmetric quantum mechanics. 92i:32037 

Lesniewski, Andrzej see Klimek, Stawomir, 92i:32037 

Nagase, Masayoshi Remarks on the L?-Dolbeault cohomology groups of singular algebraic 
surfaces and curves. 924:58199 

Okada, Masami see Gaveau, Bernard, 92a:58135 

Shubin, M. A. see Gromov, Mikhael L., 92i:58184 

Tondeur, Philippe see Alvarez Lépez, Jestis A., 92f:58172 


58A15 Exterior differential systems (Cartan theory) 


Bryant, Robert L. (with Chern, Shiing Shen; Gardner, Robert B.; Goldschmidt, Hubert; 
Griffiths, Phillip A.) * Exterior differential systems. 92h:58007 

Chern, Shiing Shen Families of hypersurfaces under contact transformations in R". 
92k:58008 

— see also Bryant, Robert L.; et al., 92h:58007 

Donato, Jerry Path dependent analysis. 92e:58005 

Edelen, Dominic G. B. Ideals and solutions of nonlinear field equations. 92a:58004 

— (with McKellar, R. J.) An alternative to the complete figure of Carathéodory. 92k:58009 

Gardner, Robert B. see Bryant, Robert L.; et al., 92h:58007 

Goldschmidt, Hubert see Bryant, Robert L.; et al., 92h:58007 

Griffiths, Phillip A. see Bryant, Robert L.; et al., 92h:58007 

Hartley, David (with Tucker, Robin W.; Tuckey, Philip A.) Constrained dynamics and 
exterior differential systems. 92j:58002 

— (with Tucker, Robin W.) A constructive implementation of the Cartan-Kahler theory of 
exterior differential systems. 92i:58005 

Kamran, Niky An introduction to the equivalence problem of Elie Cartan illustrated by 
examples. 92i:58006 


58A General theory of differentiable manifolds 


58A20 


— Contributions to the study of the equivalence problem of Elie Cartan and its applications 
to partial and ordinary differential equations. (French summary) 92h:58008 

Matsyuk, R. Ya. Exterior differential equations in generalized mechanics and symmetry 
properties. (Russian) 92b:58009 

McKellar, R. J. see Edelen, Dominic G. B., 92k:58009 

Shadwick, William F. (with Sluis, W. M.) On E. Cartan’s absolute equivalence of 
differential systems. (French summary) 92g:58005 

Sluis, W.M. see Shadwick, William F., 92g:58005 

Sué, Michael Involutive systems of differential equations: Einstein’s strength versus 
Cartan’s degré d’arbitraire. 92j:58003 

Tucker, Robin W. see Hartley, David, 92i:58005 and 92j:58002 

Tuckey, Philip A. see Hartley, David; et al., 92j:58002 


Items with secondary classifications in 58A15 


Edelen, Dominic G. B. Nonlinear homotopy and pre-Poincaré lemmas. 92i:58004 

Sarychev, A. V. Homotopy properties of the space of trajectories of a completely nonholo- 
nomic differential system. (Russian) 92d:58026 

Shadwick, William F. On geometric formulations of higher order mechanics. 92h:58073 


58A17 Pfaffian systems 


Diaz Miranda, Antonio Nondegenerate homogeneous Pfaff systems. (Spanish) 92k:58010 

Dutta, M. On mathematical models of the theory of Pfaffians. 92h:58009 

Golubeva, V. A. (with Leksin, V. P.) Exponential representation of solutions of Pfaffian 
systems (the one-parameter case). (Russian) 92k:58011 

Leksin, V. P. see Golubeva, V. A., 92k:58011 


Items with secondary classifications in 58A17 

Bryant, Robert L. (with Chern, Shiing Shen; Gardner, Robert B.; Goldschmidt, Hubert; 
Griffiths, Phillip A.) * Exterior differential systems. 92h:58007 

Chern, Shiing Shen see Bryant, Robert L.; et al., 92h:58007 

Chrastina, Jan On formal theory of differential equations. III. (Czech summary) 92g:58137 

Gardner, Robert B. see Bryant, Robert L.; et al., 92h:58007 

Goldschmidt, Hubert see Bryant, Robert L.; et al., 92h:58007 

Griffiths, Phillip A. see Bryant, Robert L.; et al., 92h:58007 

Khovanskii, A.G. * Fewnomials. 92h:14039 

Khramtsov, O. V. Stabilization of linear completely integrable Pfaffian systems in the case of 
scalar control. (Russian) 92i:93082 

MacCallum, M. A. H. Computer algebra and exact solutions of the Einstein equations. 
92b:83003 

Moussu, R. (with Roche, Claude André) Théorie de Hovanskii et probléme de Dulac. 
[Khovanskii’s theory and the Dulac problem] 92¢:58169 

Roche, Claude André see Moussu, R., 92e:58169 

Sasaki, Takeshi (with Yoshida, Masaaki) Tensor products of linear differential equations. 
II. New formulae for the hypergeometric functions. 92h:32040 

Shadwick, William F. Lie pseudogroups, symmetries and normal forms. 924:58224 

— (with Sluis, W.M.) On E. Cartan’s absolute equivalence of differential systems. (French 
summary) 92g:58005 

Sluis, W. M. see Shadwick, William F., 92g:58005 

Yoshida, Masaaki see Sasaki, Takeshi, 92h:32040 

(Zdravkovska, Smilka) see Khovanskii, A. G., 92h:14039 


58A20 Jets 


de Andrés, Luis C. (with de Leén, Manuel) Second-order nonautomatic connections. 
(Spanish) (see 92g:00024) 

Bronshtein, I. U. Jet transversality and conditions for the existence of a smooth Green- 
Samoilenko function. (Russian) 92f:58007 

Doupovec, Miroslav Natural transformations between 7?7*M and T*77M. 92m:58005 

Kobak, Piotr Natural liftings of vector fields to tangent bundles of bundles of 1-forms. 
92j:58004 

Koldf, Ivan (with Modugno, Marco) Natural maps on the iterated jet prolongation of a 
fibred manifold. 92k:58012 

de Leén, Manuel see de Andrés, Luis C., (92g:00024) 

Mikulski, Wiodzimierz Locally determined associated spaces over principal fibre bundles. 
92i:58007 

Modugno, Marco see Kola, Ivan, 92k:58012 

Shurygin, V. V. Projectable geometric objects on the A-jet bundle. (Russian) 92b:58010 

Slovak, Jan Bundle functors on fibred manifolds. 92h:58010 

Turtoi, Adriana Supplementary structures on jet manifolds. (Romanian. French summary) 
92i:58008 

Vinogradov, A. M. An informal introduction to the geometry of jet spaces. 92¢:58006 


Items with secondary classifications in 58A20 

Gancarzewicz, Jacek (with Salgado, Modesto) The tangent bundle of p’-velocities over a 
homogeneous space. 92k:53082 

— (with Mahi, Salima) Géodésiques dans la fibré tangent d’ordre supérieur. [Geodesics in a 
higher-order tangent bundle] 92j:53017 

Garcia Pérez, Pedro L. (with Muiioz Masqué, Jaime) Differential invariants on the bundles 
of linear frames. 92h:53033 

Gershkovich, V. Ya. Estimates for e-balls of nonholonomic metrics [in Global analysis 
and nonlinear equations (Russian), 44-57, Voronezh. Gos. Univ., Voronezh, 1988; MR 
90m:58224]. (see 92b:58001) 

Gotay, Mark J. A multisymplectic framework for classical field theory and the calculus of 
variations. I. Covariant Hamiltonian formalism. 92¢:58023 

Kamran, Niky (with Olver, Peter J.) Equivalence of higher order Lagrangians. I. Formula- 
tion and reduction. 92k:58071 

Keyl, Michael About the geometric structure of symmetry-breaking. 92g:53068 

Mahi, Salima see Gancarzewicz, Jacek, 92j:53017 

Muiioz Masqué, Jaime see Garcia Pérez, Pedro L., 92h:53033 





58A20 


Olver, Peter J. see Kamran, Niky, 92k:58071 

Oueldguejdi, Abdellah Prolongement des morphismes d’algébres différentielles régulitres 
et systémes lagrangiens. (English summary) [Prolongation of morphisms of regular 
differential algebras and Lagrangian systems] 92a:58051 

Salgado, Modesto see Gancarzewicz, Jacek, 92k:53082 

Shurygin, V. V. Lifts of G-structures on an A-jet bundle. (Russian) 92d:53027 

Vazquez-Abal, Maria Elena Second-order geometry (TM). (Spanish. English summary) 
(see 92g:00024) 

Vondra, Alexandr Natural dynamical connections. 92k:53046 


58A25 Currents [see also 32C30, 53C65] 


Items with secondary classifications in 58A25 


Almgren, Frederick J., Jr. Multi-functions mod v. 92f:49017 

Teleman, Nicolae The algebra of piecewise differentiable currents on smooth manifolds. 
92h:58005 

Zhang, Xue Shan Nonexistence of stable currents in submanifolds of a product of two 
spheres. 92m:53119 


58A30 Vector distributions (subbundles of the tangent bundles) 


Kossowski, Marek (with Thompson, Gerard) Submersive second order ordinary differen- 
tial equations. 92k:58013 

Moulin Ollagnier, Jean (with Strelcyn, Jean-Marie) On first integrals of linear systems, 
Frobenius integrability theorem and linear representations of Lie algebras. 92a:58005 

Strelcyn, Jean-Marie see Moulin Ollagnier, Jean, 92a:58005 

Thompson, Gerard see Kossowski, Marek, 92k:58013 

Zhitomirskii, M. Ya. Normal forms of distribution germs with a fixed segment of the growth 
vector. (Russian) 92a:58006 

— Classification of germs of regular distributions with a minimal growth vector. (Russian) 
92i:58009 


Items with secondary classifications in 58A30 

Bhaskara, K.H. (with Rama, K.) A note on Dirac brackets. 92a:58043 

Hangan, Théodor Accessibilité en géométrie riemannienne non-holonome. [Accessibility in 
nonholonomic Riemannian geometry] 92¢:53046 

Leites, D. A. (with Minakhin, V. V.) New Lie superalgebras and mechanics—some of the 
unmissed opportunities of the supermanifold theory. 92j:17026 

Minakhin, V. V. see Leites, D. A., 92j:17026 

Rabin, Jeffrey M. The geometry of the super KP flows. 92f:58087 

Rama, K. see Bhaskara, K. H., 92a:58043 

Reid, Gregory J. Finding abstract Lie symmetry algebras of differential equations without 
integrating determining equations. 92m:58153 

Sontag, Eduardo D. Integrability of certain distributions associated with actions on 
manifolds and applications to control problems. 92¢:57042 


58A35 Stratified sets [see also 32S60, 58C27] 


Abougateb, Abdelhak Isomorphisme de Thom et théoréme de de Rham, sur les variétés 
stratifiées. (English summary) [The Thom isomorphism and the de Rham theorem on 
stratified manifolds] 92h:58011 

Bekka, K. C-régularité et trivialité topologique. [C-regularity and topological triviality] 
92h:58012 

Darchen, Jean-Claude Intégration sur un ensemble stratifié. (English summary) [Integration 
on a stratified set] 92c:58003 

Lehmann, Daniel Variétés stratifiées C™: intégration de Cech-de Rham, et théorie de 
Chern-Weil. [C© stratified manifolds: Cech-de Rham integration and Chern-Weil theory] 
92a:58007 

Orro, Patrice Tangents limites, cone de Whitney et régularité par intersection. (English 
summary) [Limit tangents, the Whitney cone and regularity under intersection] 
92£:58008 

Trotman, David On Canny’s roadmap algorithm: orienteering in semialgebraic sets (an 
application of singularity theory to theoretical robotics). 92k:58014 


Items with secondary classifications in 58A35 

Baum, Paul (with Block, Jonathan) Equivariant bicycles on singular spaces. (French 
summary) 92b:19003 

Block, Jonathan see Baum, Paul, 92b:19003 

Hoang Hi’uDu’d’ng (with Nguyén Van Minh) Local models of the greatest characteristic 
exponent of differential equations depending on parameters. 92e:58026 

Montaldi, James On generic composites of maps. 924:58018 

Mostowski, Tadeusz Tangent cones and Lipschitz stratifications. 92f:32008 

Nguyén Van Minh see Hoang Hii’u-Du’o’ng, 92¢:58026 

Parusitiski, Adam Lipschitz stratification of real analytic sets. 92a:32009 

Peixoto, M. M. (with da Silva, A. R.) Enumerative two-point boundary value problems and 
a theorem of S. Bernstein. 92d:58021 

Schwartz, Marie-Hélene * Champs radiaux sur une stratification analytique. (French) 
[Radial fields on an analytic stratification] 92i:32041 

da Silva, A. R. see Peixoto, M. M., 92d:58021 

Tanasi, Corrado Cohomology in the theory of defects in ordered media. (Italian summary) 
92b:55022 

Thom, René Problémes rencontrés dans mon parcours mathématique: un bilan. [Problems 
encountered during my mathematical journey: an evaluation] 92a:58001 


58A40 Differential spaces 


Firmanty, Malgorzata Generalized path spaces. II. 92i:58010 
Heller, Michael see Multarzyiski, Piotr, 92b:58011 
Konik, Tadeusz On the equivalence of the tangency relation of sets. 92i:58011 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 966 


Matuszczyk, Hanna On generalized foliations with locally connected leaves. 92a:58008 

— Vector fields and differential forms on premanifolds. 92¢:58007 

Maultarzyriski, Piotr (with Sasin, Wieslaw) On the dimension of differential spaces. 
92e:58008 

— (with Heller, Michael) The differential and cone structures of spacetime. 92b:58011 

Sasin, Wieslaw Infinite Cartesian product of differential groups. 92j:58005 

— see also Multarzyiski, Piotr, 92e:58008 

Spallek, Karlheinz Differentiable groups and Whitney spaces. (German. English summary) 
92e:58009 

Waliszewski, Wiodzimierz On foliations in Sikorski differential spaces with Brouwerian 
leaves. 92¢:58004 

— On foliations with coregular factor mapping. 92e:58010 


Items with secondary classifications in 58A40 


Spallek, Karlheinz Differentiability implies analyticity on analytic and semianalytic spaces. 
92:32010 


58A50 Supermanifolds and graded manifolds [see also 14A22, 
32C11] 


Bartocci, Claudio (with Bruzzo, Ugo; Landi, Giovanni) Cohomology of supermanifolds, 
standard constraints and quantum anomalies. 92f:58009 

— (with Bruzzo, Ugo; Hernandez Ruipérez,. Daniel) A remark on a new category of 
supermanifolds. 92b:58012 

— (with Bruzzo, Ugo; Pestov, V. G.; Hernandez Ruipérez, Daniel) An axiomatic approach 
to supermanifolds. (Russian) 92k:58015 

Bruzzo, Ugo (with Hernandez Ruipérez, Daniel) A theory of Chern classes for super vector 
bundles. 92k:58016 

— (with Landi, Giovanni) Cohomology of supermanifolds and anomalous supersymmetric 
gauge theories. 92d:58005 

— see also Bartocci, Claudio; et al., 92b:58012; 92f:58009 and 92k:58015 

Cantrijn, Frans (with Ibort, Luis Alberto) Reduction of Poisson supermanifolds. (French 
summary) 92b:58013 

Cianci, Roberto Infinitely generated supermanifolds, super Lie groups and homogeneous 
supermanifolds. 92h:58013 

— * Introduction to supermanifolds. 92b:58014 

Duplii, S. A. On semigroup nature of superconformal symmetry. 92k:58017 

Fujio, Mitsuhiko Super G-structures of finite type. 92c:58005 

Hernandez Ruipérez, Daniel see Bartocci, Claudio; et al., 92b:58012; 92k:58015 and Bruzzo, 
Ugo, 92k:58016 

Ibort, Luis Alberto see Cantrijn, Frans, 92b:58013 

Khudaverdyan, O. M. Geometry of superspace with even and odd brackets. 92h:58014a 

— (with Nersessian, A. P.) Canonical Poisson brackets of different gradings and strange 
superalgebras. 92h:58014b 

Landi, Giovanni see Bruzzo, Ugo, 92d:58005 and Bartocci, Claudio; et al., 92f:58009 

Leites, D. A. (with Serganova, V. V.; Vinel, G.) Classical superspaces and related structures. 
92k:58018 

Manin, Yu. I. (with Penkov, I. B.) The formalism of left and right connections on 
supermanifolds. 92i:58012 

Marcinek, Wiadystaw Generalized Lie-Cartan pairs. 92g:58006 

Nersessian, A. P. see Khudaverdyan, O. M., 92h:58014b 

van Nieuwenhuizen, Peter Two-dimensional superspaces. (see 92i:81013) 

Penkov, I. B. see Manin, Yu. I., 92i:58012 

Pestov, V.G. see Bartocci, Claudio; et al., 92k:58015 

Rabin, Jeffrey M. Supermanifolds and super Riemann surfaces. (see 92b:81011) 

Rogers, Alice Integration and global aspects of supermanifolds. 92i:58013 

Schmitt, Thomas! On supergeometry and its application in physics. 92d:58006 

— Infinite-dimensional supermanifolds. 92¢e:58011 

— Supergeometry and Hermitian conjugation. 92m:58006 

Serganova, V. V. see Leites, D. A.; et al., 92k:58018 

Sezgin, Ergin Gauge theories of infinite-dimensional Hamiltonian superalgebras. (see 
92i:81012) 

Turtoi, Adriana About the supermanifolds. 92b:58015 

Vinel, G. see Leites, D. A.; et al., 92k:58018 


Items with secondary classifications in 58A50 

Bartocci, Claudio Some topics in the theory of super line bundles. 92d:14043 

Baulieu, Laurent Grassmannian space-time structure as an origin of gauge symmetries. (see 
92b:81007) 

Bongaarts, P. J. M. Mathematical aspects of supersymmetry and anticommuting variables. 
I. The one-dimensional Wess-Zumino model. 92m:58016a 

— Mathematical aspects of supersymmetric theories. II. Algebras and derivations. 
92m:58016b 

Bryant, Peter R. Structure of super moduli space: a splitting theorem for ST(T). 92m:32033 

Cohn, J.D. The compactification divisor of supermoduli space and superconformal field 
theory. (see 92f:81008) 

Coquereaux, R. (with Jadczyk, A.; Kastler, Daniel) Differential and integral geometry of 
Grassmann algebras. 92i:58016 

Distler, Jacques (with Nelson, Philip) Semirigid supergravity. 92b:81171 

Dolgikh, S. N. (with Schwarz, Albert) Super-Grassmannians, super t-functions and strings. 
924:58077 

— (with Roslyi, A. A.; Schwarz, Albert) Supermoduli spaces. 92i:32005 

Dominguez Pérez, J. A. (with Hernandez Ruipérez, Daniel; Sancho de Salas, C.) Supersym- 
metric products of SUSY-curves. 92h:14037 

Fatyga, B. W. (with Kostelecky, V. Alan; Nieto, Michael Martin; Truax, D. Rodney) 
Supercoherent states. 92e:81080 

Giddings, Steven B. A brief introduction to super Riemann surface theory. 92a:32012 

— Punctures on super Riemann surfaces. 92j:32022 

Gragert, Peter K. H. (with Kersten, Paul H. M.) Graded differential geometry in REDUCE: 
supersymmetry structures of the modified KdV equation. 92h:58003 





967 1992 


1 manifolds 





— see also Kersten, Paul H. M., (92f:81008) 

Grimm, Richard Left-right decomposition of two-dimensional superspace geometry and its 
BRS structure. 92c:81203 

Hernandez Ruipérez, Daniel see Dominguez Pérez, J. A.; et al., 92h:14037 

Jadczyk, A. see Coquereaux, R.; et al., 92i:58016 

Jue, Changkeun see Myung, Yun Soo, 92i:81302 

Kastler, Daniel see Coquereaux, R.; et al., 92i:58016 

Kersten, Paul H. M. (with Gragert, Peter K. H.) Graded differential geometry in REDUCE 
3 and symmetries of super KdV equation. (see 92f:81008) 

— see also Gragert, Peter K. H., 92h:58003 

Kostelecky, V. Alan see Fatyga, B. W.; et al., 92e:81080 

Leites, D. A. (with Minakhin, V. V.) New Lie superalgebras and mechanics—some of the 
unmissed opportunities of the supermanifold theory. 92j:17026 

Manin, Yu. I. * Topics in noncommutative geometry. 92k:58024 

Merkulov, S. A. Paraconformal supermanifolds and nonstandard N-extended supergravity 
models. 92j:32023 

Minakhin, V. V. see Leites, D. A., 92j:17026 

Myung, Yun Soo N = 2 supermodular transformation on supertorus. 92d:32013 

— General supermodular transformation on N = 3 super Riemann surfaces of genus 1. 
92a:14061 

— (with Jue, Changkeun) Partition function for N = 1, c = 3/2 superconformal model on 
the supertorus with two punctures. 92i:81302 

Natanzon, S. M. Klein supersurfaces. (Russian) 92i:14048 

Nelson, Philip see Distler, Jacques, 92b:81171 

Nieto, Michael Martin see Fatyga, B. W.; et al., 92¢:81080 

Pestov, V.G. Nonstandard hulls of normed Grassmann algebras and their applications in 
superanalysis. (Russian) 92f:58020 

Poletaeva, E. Structure functions on the usual and exotic symplectic and periplectic 
supermanifolds. 92h:58207 

Rabin, Jeffrey M. The algebraic geometry of super Riemann surfaces. 92i:14049 

— Krichever construction of solutions to the super KP hierarchies. 92j:58053 

Roslyi, A. A. see Dolgikh, S. N.; et al., 92i:32005 

Saidi, E.H. (with Zakkari, M.) Superconformal geometry from the Grassmann and 
harmonic analyticities. I. The N = 2 superconformal case. 92m:81279 

— (with Zakkari, M.) Superconformal geometry from the Grassmann and harmonic 
analyticities. II. The N = 4 SU(2) conformal case. 92m:81280 

Sancho de Salas, C. see Dominguez Pérez, J. A.; et al., 92h:14037 

Schwarz, Albert see Dolgikh, S. N., 92d:58077 and 92i:32005 

Truax, D. Rodney see Fatyga, B. W.; et al., 92e:81080 

Uehara, Shozo (with Yasui, Yukinori) On the symplectic geometry of the super Teichmiiller 
space. 92m:32037 

Yasui, Yukinori see Uehara, Shozo, 92m:32037 

Zakkari, M. see Saidi, E. H., 92m:81279 and 92m:81280 

Zandron, Oscar S. Gravity and supergravity gauge fields in the tangent bundle to a 
supergroup manifold. 92b:83099 


58A99 None of the above, but in this section 


Cheshkova, M. A. g-conjugate deformation algebras. (Russian) 

De Cecco, Giuseppe (with Palmieri, Giuliana) Intrinsic distance on a Lipschitz Riemannian 
manifold. (Italian. English summary) 92b:58016 

Palmieri, Giuliana see De Cecco, Giuseppe, 92b:58016 

Papadopoulos, Athanase D. p-Lie invariance, m-multiple homogeneous functions and 
coordinate systems. 92b:58017 


Items with secondary classifications in 58A99 

David, Francois Geometry and field theory of random surfaces and membranes. (see 
92g:82002) 

Gomez-Tato, Antonio Théorie de Sullivan pour la cohomologie a coefficients locaux. 
(English summary) [Sullivan’s theory for cohomology with local coefficients] 92f:55012 

Iglésias, Patrick (with Lachaud, Gilles) Espaces différentiables singuliers et corps de 
nombres algébriques. (English summary) [Singular differentiable spaces and algebraic 
number fields] 92j:57020 

Kawazumi, Nariya The invariant differential forms on the Teichmiiller space under the 
Fenchel-Nielsen flows. 92m:32034 

Lachaud, Gilles see Iglésias, Patrick, 92j:57020 

Mas-Colell, Andreu * The theory of general economic equilibrium. 92i:90024 

Tsuji, Hajime Differential-geometric surfaces in the minimal model conjecture. (Japanese) 
92g:32057 


58Bxx Infinite-dimensional manifolds 


58B05 Homotopy and topological questions 


Kalish, Diane Homotopy type of path spaces. 92k:58019 

Kolokol'tsov, V. N. The Maslov index in infinite-dimensional symplectic geometry. 
(Russian) 92k:58020 

Komorowski, Tomasz (with Wosko, Jacek) A remark on the retracting of a ball onto a 
sphere in an infinite-dimensional Hilbert space. 92e:58012 

Wosko, Jacek see Komorowski, Tomasz, 92e:58012 


Items with secondary classifications in 58B05 

Banakh, T.O. Parametric results for some classes of infinite-dimensional manifolds. 
(Russian. Ukrainian summary) 92j:57010 

Getzler, Ezra (with Jones, John D. S.; Petrack, Scott) Differential forms on loop spaces and 
the cyclic bar complex. 92i:58179 

Jones, John D.S. see Getzler, Ezra; et al., 92i:58179 

Petrack, Scott see Getzler, Ezra; et al., 92i:58179 


58B20 


Sakai, Katsuro Connecting direct limit topologies with metrics on infinite-dimensional 
manifolds. 92k:57037 

Voronov, F. F. Characteristic classes of infinite-dimensional vector bundles. (Russian) 
92i:57025 

Yost, David Thomas If every doughnut is a teacup, then every Banach space is a Hilbert 
space. 92g:46010 


58B10 Differentiability questions 


Items with secondary classifications in 58B10 

Gil-Medrano, Olga (with Michor, Peter W.) The Riemannian manifold of all Riemannian 
metrics. 92f:58024 

Michor, Peter W. see Gil-Medrano, Olga, 92f:58024 

Neves, Vitor Smooth structures on C®(M, N). 92¢:58011 


58B12 Questions of holomorphy [see also 32-XX, 46G20] 


Kriegl, A. (with Michor, Peter W.) The convenient setting for real analytic mappings. 
92a:58009 

Michor, Peter W. see Kriegl, A., 92a:58009 

Shoikhet, D. M. Some properties of Fredholm mappings of Banach analytic manifolds. 
(Russian) 92m:58007 


Items with secondary classifications in 58B12 

Min, Kyung Chan (with Nel, Louis Daniel') Infinite-dimensional holomorphy via 
categorical differential calculus. 92b:46067 

Nel, Louis Daniel’ see Min, Kyung Chan, 92b:46067 

Wilkins, David R. The Grassmann manifold of a C*-algebra. 92b:46116 


58B15 Fredholm structures [see also 47A53] 


Items with secondary classifications in 58B15 

Béhme, R. Surfaces of constant Gauss curvature and of arbitrary genus. (French summary) 
92d:53058 

Daletskii, A. Yu. The Maslov canonical operator on Lagrangian manifolds with a Hilbert 
model. (Russian) 92k:58269 

Kastler, Daniel Introduction to entire cyclic cohomology (of Z/2-graded Banach algebras). 
92b:46113 

Kolokol'tsov, V. N. The Maslov index in infinite-dimensional symplectic geometry. 
(Russian) 92k:58020 


58B20 Riemannian, Finsler and other geometric structures 
[see also 53C20, 53C60] 


Borcea, Veronica T. Angles and quasiconformal mappings on Riemannian manifolds. 
(Romanian summary) 92k:58021 

Hrimiuc, Dragos On the differential geometry of an infinite-dimensional Lagrange space. 
92i:58014 

— On the geometry of an infinite-dimensional Hamilton space. 92k:58022 

Lukatskii, A.M. Negativity of curvatures of the group of diffeomorphisms for locally 
Euclidean manifolds. (Russian) 92b:58018 

Marion, Jean Albert Outline of harmonic analysis on groups of paths with values in a 
Sobolev gauge group. 92i:58015 

Okrut, S. I. Riemannian Hilbert submanifolds of nonpositive extrinsic curvature. (Russian) 
92b:58019 

Yul’metov, R. R. On the Neifel’d connection on a Grassmannian manifold of Banach type. 
(Russian) 92e:58013 


Items with secondary classifications in 58B20 


Bars, Itzhak Differential geometry for strings. (see 92£:81008) 

Belopolskaya, Ya. I. Second-order parabolic equations in principal fibre bundles and 
associated vector bundles [in Topological and geometric methods of analysis (Russian), 
29-42, Voronezh. Gos. Univ., Voronezh, 1989; MR 91¢:58209]. (see 92b:58001) 

Chen, Hsing Hen see Chin, Chou Hsin, 92e:58087 

Chin, Chou Hsin (with Chen, Hsing Hen) On spinor representation of the infinite- 
dimensional Grassmannian. 92¢:58087 

Corach, Gustavo (with Porta, Horacio A.; Recht, L.) Multiplicative integrals and geometry 
of spaces of projections. 92h:46068 

— (with Porta, Horacio A.; Recht, L.) A geometric interpretation of Segal’s inequality 
leXt¥ || < |le*/2e% e*/2||. 92:46105 

Daletskii, A. Yu. The Maslov canonical operator on Lagrangian manifolds with a Hilbert 
model. (Russian) 92k:58269 

Dorfmeister, Josef (with Neher, Erhard; Szmigielski, J.) Banach manifolds and their 
automorphisms associated with groups of type C,. and D.. 92e:58014 

— (with Neher, Erhard; Szmigielski, J.) Automorphisms of the KdV-subvariety. 92e:58089 

Dowker, J.S. (with Wei, Mo Zheng) Area-preserving diffeomorphisms and the stability of 
the atmosphere. 92b:58031 

Gil-Medrano, Olga (with Michor, Peter W.) The Riemannian manifold of all Riemannian 
metrics. 92f:58024 

Kolokol'tsov, V. N. The Maslov index in infinite-dimensional symplectic geometry. 
(Russian) 92k:58020 

Michor, Peter W. see Gil-Medrano, Olga, 92f:58024 

Mulase, Motohico Category of vector bundles on algebraic curves and infinite-dimensional 
Grassmannians. 924:58083 

Neher, Erhard see Dorfmeister, Josef; et al., 92e:58014 and 92e:58089 

Porta, Horacio A. see Corach, Gustavo; et al., 92h:46068 and 92h:46105 

Recht, L. see Corach, Gustavo; et al., 92h:46068 and 92h:46105 

Schmitt, Thomas! Infinite-dimensional supermanifolds. 92e:58011 








58B20 


Szmigielski, J. see Dorfmeister, Josef; et al., 92e:58014 and 92e:58089 
Wei, Mo Zheng see Dowker, J. S., 92b:58031 
Wilkins, David R. The Grassmann manifold of a C*-algebra. 92b:46116 


58B25 Group structures and generalizations on infinite- 
dimensional manifolds [see also 22E65, 58D05] 


Dorfmeister, Josef (with Neher, Erhard; Szmigielski, J.) Banach manifolds and their 
automorphisms associated with groups of type C,. and D,.. 92e:58014 

Dowker, J.S. Diffeomorphisms of the 3-sphere. 924:58007 

— see also Wolski, A., 92h:58015 

Kirillov, A. A. The flag manifold for the Virasoro-Bott group. 92m:58008 

Neher, Erhard see Dorfmeister, Josef; et al., 92e:58014 

Szmigielski, J. see Dorfmeister, Josef; et al., 92e:58014 

Wolski, A. (with Dowker, J.S.) Area-preserving diffeomorphisms of Riemann surfaces. 
92h:58015 

Yur'ev, D. V. The vocabulary of geometry and harmonic analysis on the infinite-dimensional 
manifold Diff,.(S')/S'. 92f:58010 


Items with secondary classifications in 58B25 

Aldaya, Victor (with Navarro-Salas, José; Navarro, Miguel) Dynamics on the Virasoro 
group, 2D gravity and hidden symmetries. 92h:81140 

Bowick, Mark J. (with Yang, Kong Qing) String equations of motion from vanishing 
curvature. 92h:81119 

Czyz, Janusz On Lie supergroups and superbundles defined via the Baker-Campbell- 
Hausdorff formula. 92b:17004 

Dorfmeister, Josef (with Neher, Erhard; Szmigielski, J.) Automorphisms of the KdV- 
subvariety. 92e:58089 

Dubois-Violette, Michel Noncommutative differential geometry, quantum mechanics and 
gauge theory. 92h:58016 

Fine, Dana S. Quantum Yang-Mills on the two-sphere. 92a:58019 

Golenishcheva-Kutuzova, M.1. Generic orbits of the diffeomorphism group of a two- 
manifold in the space 6., of regular momenta. 92k:58038 

Hlavaty, Ladislav Two-dimensional quantum spaces corresponding to solutions of the Yang- 
Baxter equations. 92g:17014 

Holmes, John P. Idempotents in differentiable semigroups. 92m:22001 

Hong, D. K. (with Rajeev, S.G.) Universal Teichmiiller space and Diff S'/S'. 92g:32042 

Ismagilov, R.S. Representations of certain infinite-dimensional groups. 92f:22031 

Kawai, Toshiharu Group of paths, holonomy groups and nonintegrable phase factors in 
Poincaré gauge theory of gravity. 92a:83049 

Khimshiashvili, G. N. Topology of the general Riemann-Hilbert boundary value problem. 
(Russian. English and Georgian summaries) 92a:58134 

Kirillov, A. A. La géométrie des moments pour les groupes de difféomorphismes. [The 
geometry of moments for groups of diffeomorphisms] 92f:22032 

Kyriazis, Athanasios On tensor product a-algebra bundles. 92d:46182 

La, HoSeong (with Nelson, Philip; Schwarz, Albert) Virasoro model space. 92c:22041 

Mickelsson, Jouko Sato’s universal Grassmannian and group extensions. 92h:22037 

Natarajan, Loki (with Rodriguez-Carrington, Enriqueta; Wolf, Joseph A.) Differentiable 
structure for direct limit groups. 92k:22035 

Navarro, Miguel see Aldaya, Victor; et al., 92h:81140 

Navarro-Salas, José see Aldaya, Victor; et al., 92h:81140 

Neher, Erhard see Dorfmeister, Josef; et al., 92e:58089 

Nelson, Philip see La, HoSeong; et al., 92c:22041 

Rajeev, S.G. see Hong, D. K., 92g:32042 

Rodriguez-Carrington, Enriqueta see Natarajan, Loki; et al., 92k:22035 

Schwarz, Albert see La, HoSeong; et al., 92c:22041 

Sudbery, A. Noncommuting coordinates and differential operators. 92f:17020 

Szmigielski, J. see Dorfmeister, Josef; et al., 92e:58089 

Watling, Neil A. Temperature states on loop groups, boson-fermion correspondence, and a 
determinant identity. 92e:22036 

Wolf, Joseph A. see Natarajan, Loki; et al., 92k:22035 

Yang, Kong Qing see Bowick, Mark J., 92h:81119 

Yur'ev, D. V. Radius of univalence of a regular function. (Russian) 92j:17024 


58B30 Noncommutative differential geometry and topology 
[see also 46L30, 46L87, 46L89] 


Bratteli, Ola (with Elliott, George A.; Evans, David E.; Kishimoto, Akitaka) Noncommuta- 
tive spheres. I. 92d:58008 

Carow-Watamura, U. (with Schlieker, M.; Watamura, Satoshi) SO,(N) covariant differ- 
ential calculus on quantum space and quantum deformation of Schrédinger equation. 
92e:58015 

Connes, Alain * Géométrie non commutative. (French) [Noncommutative geometry] 
92e:58016 

— Essay on physics and noncommutative geometry. 92g:58007 

— Introduction a la géométrie non-commutative. [Introduction to noncommutative 
geometry] 92e:58017 

Coquereaux, R. Noncommutative geometry and theoretical physics. 92b:58020 

— Higgs fields and superconnections. 92j:58006 

— (with Jadezyk, A.; Kastler, Daniel) Differential and integral geometry of Grassmann 
algebras. 92i:58016 

Dubois-Violette, Michel Noncommutative differential geometry, quantum mechanics and 
gauge theory. 92h:58016 

Elliott, George A. see Bratteli, Ola; et al., 92d:58008 

Evans, David E. see Bratteli, Ola; et al., 92d:58008 

Jadczyk, A. see Coquereaux, R.; et al., 92i:58016 

Juréto, Branislav Differential calculus on quantized simple Lie groups. 92k:58023 

Kastler, Daniel Equivariant calculus in the differential envelope. 92i:58017 

— Introduction to noncommutative geometry and Yang-Mills model-building. 92h:58017 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


— see also Coquereaux, R.; et al., 92i1:58016 

Kerner, Richard Recent progress in noncommutative geometry. 92h:58018 

Kishimoto, Akitaka see Bratteli, Ola; et al., 92d:58008 

Kupershmidt, Boris A. Conformally multiplicative Poisson structures in linear algebra and 
algebraic geometry. 92f:58011 

Landi, Giovanni (with Marmo, G.) Algebraic differential calculus for gauge theories. 
92h:58019 

— (with Marmo, G.) Algebraic gauge theory and noncommutative geometry. (see 
92g:81003) 

Levendorskii, S. Z. (with Soibel’man, Ya. S.) Algebras of functions on compact quantum 
groups, Schubert cells and quantum tori. 92h:58020 

Madore, J. Kaluza-Klein aspects of noncommutative geometry. 92j:58007 

— Algebraic structure and particle spectra. 92e:58018 

— The commutative limit of a matrix geometry. 92b:58021 

Manin, Yu. I. * Topics in noncommutative geometry. 92k:58024 

Marmo, G. see Landi, Giovanni, 92h:58019 and (92g:81003) 

Masuda, Tetsuya (with Watanabe, Junsei) Sur les espaces vectoriels topologiques associés 
aux groupes quantiques SU,(2) et SU,(1, 1). (English summary) [On the topological 
vector spaces associated with the quantum groups SU,(2) and SU,(1,1)] 92b:58022 

Matthes, Rainer An example of a differential calculus on the quantum complex n-space. 
92£:58012 

Rajeev, S.G. Embedding Yang-Mills theory into universal Yang-Mills theory. 92j:58008 

Schlieker, M. (with Scholl, Marcus) Spinor calculus for quantum groups. 92e:58019 

— see also Carow-Watamura, U.; et al., 92e:58015 

Schmidke, W. B. (with Vokos, S. P.; Zumino, Bruno) Differential geometry of the quantum 
supergroup GL,(1|1). 92g:58008 

Scholl, Marcus see Schlieker, M., 92e:58019 

Schwenk, Jochen Differential calculus for the n-dimensional quantum plane. 92g:58009 

Soibel‘man, Ya. S. see Vaksman, L. L., 92e:58021 and Levendorskii, S. Z., 92h:58020 

Soni, S. K. Comment on the differential calculus on quantum planes. 92d:58009 

— Differential calculus on the quantum superplane. 92¢e:58020 

— Covariant differential calculus on the quantum superplane and generalization of the Wess- 
Zumino formalism. 92f:58013 

Uhimann, Armin On the use of associative algebras in differential geometry. 92g:58010 

Vaksman, L. L. (with Soibel‘man, Ya. S.) Algebra of functions on the quantum group 
SU(n + 1), and odd-dimensional quantum spheres. (Russian) 92e:58021 

Vokos, S. P. see Schmidke, W. B.; et al., 92g:58008 

Wang, Xiaolu The C*-algebras of Morse-Smale flows on two-manifolds. 92f:58014 

Watamura, Satoshi see Carow-Watamura, U.; et al., 92e:58015 

Watanabe, Junsei see Masuda, Tetsuya, 92b:58022 

Wess, Julius (with Zumino, Bruno) Covariant differential calculus on the quantum 
hyperplane. 92g:58011 

Zumino, Bruno see Schmidke, W. B.; et al., 92g:58008 and Wess, Julius, 92g:58011 


Items with secondary classifications in 58B30 

Bacry, Henri The notions of localizability and space: from Eugene Wigner to Alain Connes. 
92h:81012 

Balakrishna, B.S. (with Giirsey, Feza; Wali, Kameshwar C.) Noncommutative geometry 
and Higgs mechanism in the standard model. 92a:81226 

Batakis, Nicolaos A. (with Kehagias, Alexandros A.) New unified perspectives from 
bigraded algebras. 92c:81226 

Baulieu, Laurent (with Floratos, Emmanuel G.) Path integral on the quantum plane. 
92e:81118 

Bernard, Denis A remark on quasi-triangular quantum Lie algebras. 92e:17013 

Bost, Jean-Benoit Principe d’Oka, K-théorie et systemes dynamiques non commutatifs. 
[The Oka principle, K-theory and noncommutative dynamical systems] 92j:46126 

Bragiel, Kazimierz On the Wigner-Eckart theorem for tensor operators connected with 
compact matrix quantum groups. 92d:46176 

— On the spherical and zonal spherical functions on a compact quantum group. 92h:33041 

Connes, Alain Noncommutative geometry. 92a:58136 

Coquereaux, R. (with Esposito-Farese, G.; Vaillant,G.) Higgs field as Yang-Mills fields and 
discrete symmetries. 92f:81098 

Dai, Jian Hui (with Guo, Han Ying; Yan, Hong) The g-deformed differential operator 
algebra, a new solution to the Yang-Baxter equation and quantum plane. 92h:17011 

Esposito-Farese, G. see Coquereaux, R.; et al., 92f:81098 

Fairlie, D. B. q-analysis and quantum groups. 92k:17020 

Fei, Shao Ming Hopf algebraic structures of SU,,,.0(2) and SU,,4(2) algebras, monopoles 
and symplectic geometry on 2D manifolds. 92j:81101 

Floratos, Emmanuel G. Manin’s quantum spaces and standard quantum mechanics. 
92a:81074 

— see also Baulieu, Laurent, 92e:81118 

Guo, Han Ying see Dai, Jian Hui; et al., 92h:17011 

Giirsey, Feza see Balakrishna, B. S.; et al., 92a:81226 

Hlavaty, Ladislav Two-dimensional quantum spaces corresponding to solutions of the Yang- 
Baxter equations. 92g:17014 

Jaffe, Arthur M. (with Osterwalder, Konrad) Ward identities for noncommutative 
geometry. 92¢:46139 

Kastler, Daniel Introduction to entire cyclic cohomology (of Z/2-graded Banach algebras). 
92b:46113 

Kehagias, Alexandros A. see Batakis, Nicolaos A., 92c:81226 

Kulish, P. P. Finite-dimensional Zamolodchikov-Faddeev algebra and q-oscillators. 
92m:81107 

Kumjian, A. On the K-theory of the symmetrized noncommutative torus. 92b:46115 

Lebedev, D. R. (with Pakulyak, S. Z.) Zakharov-Shabat technique with quantized spectral 
parameter in the theory of integrable models. 92k:58120 

Levendorskii, S. Z. Twisted algebras of functions on a compact quantum group and their 
representations. (Russian) 92¢e:17016 

Lykken, Joseph D. Bosonic string field theory and noncommutative geometry. (see 
92b:17001) 

Majid, Shahn Matched pairs of Lie groups and Hopf algebra bicrossproducts. 92f:16048 





969 1992 


Mukhin, E. E. Yang-Baxter operators and the noncommutative de Rham complex. 
(Russian) 92k:17004 

Osterwalder, Konrad see Jaffe, Arthur M., 92e:46139 

Pakulyak, S. Z. see Lebedev, D. R., 92k:58120 

Pusz, Wiestaw Twisted canonical anticommutation relations. 92i:81132 

Quillen, D. Chern-Simons forms and cyclic cohomology. 92d:19004 

Samuel, Stuart Two-dimensional group lattices with a twist. 92h:82033 

Schirrmacher, Arne (with Wess, Julius; Zumino, Bruno) The two-parameter deformation of 
GL(2), its differential calculus, and Lie algebra. 92e:17019 

— The multiparametric deformation of GL(m) and the covariant differential calculus on the 
quantum vector space. 92g:17020 

Schmiidgen, Konrad Eine Einfiihrung in die Theorie der Quantenmatrixgruppen. [An 
introduction to the theory of quantum matrix groups] 92g:46087 

Spera, Mauro A noncommutative geometric reinterpretation of the canonical commutation 
relations. (Italian summary) 92g:46086 

Sudbery, A. Noncommuting coordinates and differential operators. 92f:17020 

Tsou, Sheung Tsun A Yang-Mills structure for string field theory. 92f:81155 

Ubriaco, Marcelo R. Time evolution in quantum mechanics on the quantum line. 
92m:81112 

Vaillant, G. see Coquereaux, R.; et al., 92f:81098 

Wali, Kameshwar C. see Balakrishna, B. S.; et al., 92a:81226 

Weinstein, Alan Symplectic groupoids, geometric quantization, and irrational rotation 
algebras. 92h:46103 

Wess, Julius see Schirrmacher, Arne; et al., 92e:17019 

Wiesbrock, Hans-Werner The C*-algebra of bosonic strings. 92i:46083 

Woronowicz, S. L. Unbounded elements affiliated with C*-algebras and noncompact 
quantum groups. 92b:46117 

— A remark on compact matrix quantum groups. 92k:46097 

Xu, Ping Morita equivalent symplectic groupoids. 92i:46086 

Yan, Hong see Dai, Jian Hui; et al., 92h:17011 

Yur’ev, D. V. Quantum conformal field theory as an infinite-dimensional noncommutative 
geometry. (Russian) 92j:81308 

Zakrzewski, Stanislaw Matrix pseudogroups associated with anti-commutative plane. 
924:46177 

Zumino, Bruno see Schirrmacher, Arne; et al., 92e:17019 


58B99 None of the above, but in this section 


Items with secondary classifications in 58B99 

Borisovich, Yu.G. A modern approach to the theory of topological characteristics of 
nonlinear operators. II [in Global analysis and nonlinear equations (Russian), 22-43, 
Voronezh. Gos. Univ., Voronezh, 1988; MR 90j:58013]. (see 92b:58001) 

Hohti, Aarno Lipschitz manifolds from Hilbert cube manifolds. (Russian summary) 
92£:57027 

Pekonen, Osmo Slice theorems for the action of diffeomorphism groups on the space of 
almost complex structures on a compact manifold. (Russian summary) 92¢:58012 


58Cxx Calculus on manifolds; nonlinear operators 
[see also 47Hxx] 


58C05 Real-valued functions 
Kendall, Wilfrid S. Convexity and the hemisphere. 92h:58021 


58C06 Set valued and function-space valued mappings 
[see also 47H04, 54C60] 


Fournier, Gilles (with Violette, Donald) La formule de Leray-Schauder pour l’indice d’une 
fonction multivoque continiment différentiable. (English summary) [The Leray-Schauder 
formula for the index of a continuously differentiable multivalued function] 92b:58023 

Kfivan, Vlastimil On the intersection of contingent cones. 92g:58012 

Navoyan, V. Kh. Some differential properties of multivalued functions. (Russian) 
92h:58022 

Violette, Donald see Fournier, Gilles, 92b:58023 


Items with secondary classifications in 58C06 

Chou, Chin Ch’éng Inverse function theorems for multifunctions in Fréchet spaces. 
92k:49026 

Frankowska, Halina Conical inverse mapping theorems. 92k:49028 

Nguyen Dong Yen see Pham Huy Dién, 92g:49015 

Pham HuyDién (with Nguyen Dong Yen) On implicit function theorems for set-valued 
maps and their application to mathematical programming under inclusion constraints. 
92g:49015 

— (with Yen, N. D.) Correction: “On implicit function theorems for set-valued maps and 
their application to mathematical programming under inclusion constraints” [Appl. Math. 
Optim. 24 (1991), no. 1, 35-54; MR 928:49015}. 

Polonskii, Yu. A. General form of the Hahn-Banach-Kantorovich theorem. (Russian) 
92c:46006 

Wang, Yun Tong A characterization of paratingent cone and P-subderivative with 
applications in nonsmooth analysis. 92f:49008 

Yen, N. D. see Pham Huy Dién 

Zawadzka, Grazyna On Lipschitzian operators of substitution in the space of set-valued 
functions of bounded variation. (Serbo-Croatian summary) 924:47091 


58C Calculus on manifolds; nonlinear operators 


58C20 


58C07 Continuity properties of mappings 


Kuz'michev, V. V. Conditions for the removal of singularities in the C! metric in terms of 
one notion of dimensionality. (Russian) 92d:58010 


Items with secondary classifications in 58C07 


Krejéi, Pavel Hysteresis memory preserving operators. (Czech summary) 92k:58039 
Seeger, Alberto Direct and inverse addition in convex analysis and applications. 92b:90200 


58C10 Holomorphic maps [see also 32-XX] 


Azizov, T. Ya. (with Khatskevich, V. A.; Shoikhet, D. M.) On the number of fixed points of 
a holomorphism. (Russian) 92h:58023 

Khatskevich, V. A. see Azizov, T. Ya.; et al., 92h:58023 

Lafontaine, Jacques A nonlinear Hadamard theorem. 92e:58022 

Mazet, Pierre (with Vigué, Jean-Pierre) Points fixes d’une application holomorphe d’un 
domaine borné dans lui-méme. [Fixed points of a holomorphic mapping of a bounded 
domain into itself] 92b:58024 

Shoikhet, D. M. see Azizov, T. Ya.; et al., 92h:58023 

Vigué, Jean-Pierre see Mazet, Pierre, 92b:58024 


Items with secondary classifications in 58C10 

Bondar, A. V. (with Romanenko, V. Yu.) Conditions for the holomorphy of Lipschitz 
mappings of Hilbert spaces. (Russian. Ukrainian summary) 92g:46047 

Michor, Peter W. The moment mapping for unitary representations. 92i:58019 

Min, Kyung Chan (with Nel, Louis Daniel') Infinite-dimensional holomorphy via 
categorical differential calculus. 92b:46067 

Nel, Louis Daniel’ see Min, Kyung Chan, 92b:46067 

Romanenko, V. Yu. see Bondar, A. V., 92g:46047 


58C15 Implicit function theorems; global Newton methods 


Blot, Joé1 On global implicit functions. 92m:58009 

Burtsev, S. V. Two implicit function theorems. (Russian) 92k:58025 

Ciulli, M. (with Ciulli, S.; Spearman, T. D.) Ball stabilization in inverse problems. (see 
92a:00040) 

Ciulli, S. see Ciulli, M.; et al., (92a:00040) 

Goldstein, A. A. A global Newton method. 924:58011 

Hernandez, Jorge E. (with Nashed, M. Zuhair) Global invertibility of expanding maps. 
92k:58026 

Meisters, Gary Hosler (with Olech, Czeslaw) A Jacobian condition for injectivity of 
differentiable plane maps. 92e:58023 

Nashed, M. Zuhair see Hernandez, Jorge E., 92k:58026 

Olech, Czestaw see Meisters, Gary Hosler, 92e:58023 

Robinson, Stephen M. An implicit-function theorem for a class of nonsmooth functions. 
92g:58013 

Spearman, T. D. see Ciulli, M.; et al., (92a:00040) 

Torgashova, N. E. A theorem on a second-order implicit function in codifferential calculus. 
(Russian. English summary) 92h:58024 


Items with secondary classifications in 58C15 


Abbati, Maria Cristina (with Cirelli, Renzo; Mania, Alessandro) The orbit space of the 
action of gauge transformation group on connections. 92b:58032 

Balogh, Z. (with Kassay, G.) On convexity of implicit functions. (see 92m:00032) 

Cirelli, Renzo see Abbati, Maria Cristina; et al., 92b:58032 

Geisler, Michael (with Runst, Thomas) On a superlinear Ambrosetti-Prodi problem in 
Besov and Triebel-Lizorkin spaces. 92k:46048 

Holly, Konstanty Some application of the implicit function theorem to the stationary 
Navier-Stokes equations. 92b:35124 

Kassay, G. see Balogh, Z., (92m:00032) 

Kummer, Bernd An implicit-function theorem for C°'-equations and parametric C'-!- 
optimization. 92f:49006 

Kurapin, G. I. The implicit mapping theorem for a class of topological modules. (Russian) 
92j:46079 

Mania, Alessandro see Abbati, Maria Cristina; et al., 92b:58032 

Nguyen Dong Yen see Pham Huy Dién, 92g:49015 

Noakes, J. Lyle Invariant subspaces and perturbations. 92e:47009 

Norton, Alec (with Pugh, Charles) Critical sets in the plane. 92f:57032 

Pham Huy Dién (with Nguyen Dong Yen) On implicit function theorems for set-valued 
maps and their application to mathematical programming under inclusion constraints. 
92g:49015 

— (with Yen, N. D.) Correction: “On implicit function theorems for set-valued maps and 
their application to mathematical programming under inclusion constraints” [App]. Math. 
Optim. 24 (1991), no. 1, 35-54; MR 92g:49015]. 

Pugh, Charles see Norton, Alec, 92f:57032 

Runst, Thomas see Geisler, Michael, 92k:46048 

Torgashova, N. E. Implicit and inverse function theorems in quasidifferential calculus. 
(Russian) 92b:26022 

Vickers, J. A. G. Infinite-dimensional inverse function theorems and small divisors. 
92a:58123 

Yen, N. D. see Pham Huy Dién 

Zabreiko, P. P. Implicit function theorems in the theory of nonlinear integral equations. 
(Russian. English summary) 92m:47132 


58C20 Differentiation theory (Gateaux, Fréchet, etc.) 
[see also 26Exx, 46G05] 
Bates, S. M. A smooth surjective rank-1 endomorphism of a Hilbert space. 92j:58009 


Bogachev, V. I. Smooth measures, the Malliavin calculus and approximations in infinite- 
dimensional spaces. 92h:58025 





58C20 


Caputti, Telma The plenary hull of the generalized Jacobian matrix and the inverse function 
theorem in subdifferential calculus. 92b:58025 

Chernyakov, A. G. see Pecherskaya, N. A., 92a:58010 

Gieraltowska-Kedzierska, Maria (with Van Vleck, F.S.) Fréchet differentiability of regular 
locally Lipschitzian functions. 92h:58026 

Hikida, Masato On Taylor’s formula. 924:58012 

— On Taylor’s formula. II. 92i:58018 

Michor, Peter W. The moment mapping for unitary representations. 92i:58019 

Pecherskaya, N. A. (with Chernyakov, A. G.) Differentiability of some multivalued 
mappings on Lie groups. (Russian) 92a:58010 

Rybakowski, Krzysztof P. Formulas for higher-order finite expansions of composite maps. 
92k:58027 

— Formulas for higher-order Fréchet derivatives of composite maps, implicitly defined maps 
and solutions of differential equations. 92j:58010 

Smorodina, N. V. Differential calculus on the configuration space: surfaces, surface 
measures, Gauss-Ostrogradskii formula. (see 92m:60004) 

Van Vieck, F.S. see Gieraltowska-Kedzierska, Maria, 92h:58026 


Items with secondary classifications in 58C20 

Anderson, Mitch One-parameter submonoids in locally complete differentiable monoids. 
92d:46108 

Appell, Jiirgen (with Nazarov, V. I.; Zabreiko, P. P.) Composing infinitely differentiable 
functions. 92c:47083 

Carow-Watamurs, U. (with Schlieker, M.; Watamura, Satoshi) SO,(N) covariant differ- 
ential calculus on quantum space and quantum deformation of Schrédinger equation. 
92e:58015 

Castaiieda Bravo, Fernando (with Garcia Diez, I.; Otxoa de Alda, J. J.) Passage to the limit 
in convergence vector spaces. (Spanish. English summary) (see 92m:00049) 

Dem’yanov, V. F. (with Rubinov, A. M.) * Ocnosbi Hernaykoro aHamH3a H KBa3sHqudpep- 
eHIHambHoe ucincueHHe. (Russian) [Foundations of nonsmooth analysis, and quasidiffer- 
ential calculus] 92j:40001 

Eyland, Roger (with Sharp, Bernice) A factor theorem for locally convex differentiability 
spaces. 92h:46060 

Fabian, Marian (with Preiss, David) On intermediate differentiability of Lipschitz 
functions on certain Banach spaces. 92g:46048 

Garcia Diez, I. see Castaiieda Bravo, Fernando; et al., (92m:00049) 

Georgiev, Pando Grigorov Fréchet differentiability of convex functions in separable Banach 
spaces. 924:46109 

— The smooth variational principle and generic differentiability. 92e:49018 

Gershkovich, V. Ya. Estimates for e-balls of nonholonomic metrics [in Global analysis 
and nonlinear equations (Russian), 44-57, Voronezh. Gos. Univ., Voronezh, 1988; MR 
90m:58224]. (see 92b:58001) 

Hajnosz, Andrzej (with Wedrychowicz, Stanislaw) A few remarks on Lipschitzian 
mappings. (Russian and Polish summaries) 92¢:47098 

Margolis, Beatriz Quasi-differentiability: a formal approach. First and second gradient 
classes. 92¢:49024 

Markina, I.G. The change of variable that preserves the differential properties of functions. 
(Russian) 924:46086 

Namioka, I. see Preiss, David; et al., 92h:46021 

Navoyan, V. Kh. Some differential properties of multivalued functions. (Russian) 
92h:58022 

Nazarov, V.I. see Appell, Jiirgen; et al., 92c:47083 

Otxoa de Alda, J. J. see Castaiieda Bravo, Fernando; et al., (92m:00049) 

Pallaschke, Diethard (with Recht, P.; Urbatiski, Ryszard) Generalized derivatives for 
nonsmooth functions. 92k:26020 

Phelps, R. R. see Preiss, David; et al., 92h:46021 

Poliquin, René A. Integration of subdifferentials of nonconvex functions. 92j:49008 

Preiss, David (with Phelps, R. R.; Namioka, I.) Smooth Banach spaces, weak Asplund 
spaces and monotone or usco mappings. 92h:46021 

— see also Fabian, Maridn, 92g:46048 

Recht, P. see Pallaschke, Diethard; et al., 92k:26020 

Robinson, Stephen M. An implicit-function theorem for a class of nonsmooth functions. 
92g:58013 

Rubinov, A. M. see Dem‘yanoyv, V. F., 92j:40001 

Schlieker, M. see Carow-Watamura, U.; et al., 92e:58015 

Sharp, Bernice The differentiability of convex functions on topological linear spaces. 
924:46111 

— see also Eyland, Roger, 92h:46060 

Simons, Stephen The occasional distributivity of o over é and the change of variable 
formula for conjugate functions. 92¢:46053 

Soni, S. K. Comment on the differential calculus on quantum planes. 92d:58009 

— Differential calculus on the quantum superplane. 92e:58020 

Subbotin, A. I. On a property of a subdifferential. (Russian) 92i:49033 

Sukhinin, M. F. Differentiability with respect to parameters in the presence of a priori 
estimates. (Russian) 92j:47130 

Treiman, J.S. An infinite class of convex tangent cones. 92¢e:49028 

Urbanski, Ryszard see Pallaschke, Diethard; et al., 92k:26020 

Ward, D. E. Convex directional derivatives in optimization. 92i:49034 

Watamura, Satoshi see Carow-Watamura, U.; et al., 92e:58015 

Wedrychowicz, Stanislaw see Hajnosz, Andrzej, 92e:47098 

Zabreiko, P. P. see Appell, Jiirgen; et al., 92c:47083 


Zajitek, Ludék Fréchet differentiability, strict differentiability and subdifferentiability. 
92j:46081 








58C25 Differentiable maps 


Agrachév, A. A. see Avakov, E. R.; et al., 92k:58028 

Arutyunov, A. V. see Avakov, E. R.; et al., 92k:58028 

Avakov, E.R. (with Agrachév, A. A.; Arutyunov, A. V.) The level set for a smooth mapping 
in a neighborhood of a singular point, and zeros of a quadratic mapping. (Russian) 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


92k:58028 

Bakhtin, V. I. Weierstrass preparation theorem for finitely smooth modules. 92d:58013 

Bates, S. M. On the image size of singular maps. I. 92:58015 

Cadek, Martin (with Siméa, Jaromir) Decomposition of smooth functions of two 
multidimensional variables. 92k:58029 

Cristea, Mihai Some remarks on light, differentiable mappings in R". 92b:58026 

Neves, Vitor Nonnormality of C?(M, N) in Whitney’s topology. 92m:58010 

— Nonnormality of ~(M, N) in Whitney’s and related topologies when M is open. 
92g:58014 

SimSa, Jaromir see Cadek, Martin, 92k:58029 


Items with secondary classifications in 58C25 

Bierstone, Edward (with Milman, Pierre D.) Local analytic invariants. 92a:32008 

Bondar, A. V. (with Romanenko, V. Yu.) Operator conditions for C-differentiability. 
(Russian. Ukrainian summary) 92g:46046 

Jongen, Hubertus Th. (with Jonker, P.; Twilt, F.) * Nonlinear optimization in R". I. 
922:90004 

— (with Jonker, P.; Twilt, F.) * Nonlinear optimization in R". II. 92a:90005 

Jonker, P. see Jongen, Hubertus Th.; et al., 92a:90004 and 92a:90005 

Mata-Lorenzo, Luis E. Polyhedrons and pi-stable homotopies from 3-manifolds into the 
plane. 92j:57019 

Meguerditchian, Ivan Géométrie locale des polynémes hyperboliques. (English summary) 
[Local geometry of hyperbolic polynomials] 92f:12002 

Milman, Pierre D. see Bierstone, Edward, 92a:32008 

Nabutovsky, Alexander Number of solutions with a norm bounded by a given constant of a 
semilinear elliptic PDE with a generic right-hand side. 92j:35069 

Romanenko, V. Yu. see Bondar, A. V., 92g:46046 

Sarantopoulos, Yannis Bounds on the derivatives of polynomials on Banach spaces. 
92j:46084 

Spallek, Karlheinz Product decomposition of nonreduced space germs. 92j:32018 

Spring, David On the regularity of solutions in convex integration theory. 92¢:35044 

Twilt, F. see Jongen, Hubertus Th.; et al., 92a:90004 and 92a:90005 

Zvyagin, V.G. The properness of elliptic and parabolic differential operators [in Global 
analysis and nonlinear equations (Russian), 58-75, Voronezh. Gos. Univ., Voronezh, 
1988; MR 90k:58224]. (see 92b:58001) 


58C27 Singularities of differentiable maps [see also 14B05, 
14E15, 32Sxx] 


Ando, Yoshifumi On local structures of the singularities A, D, and E, of smooth maps. 
92h:58027 

Aoki, Kenji (with Fukuda, Takuo; Nishimura, Takashi) On the number of branches of the 
zero locus of a map germ (R”,0) — (R"~!,0). 92e:58024 

Arnol’d, V. 1. * The theory of singularities and its applications. 92i:58020 

Baryshnikov, Yu. M. Real vanishing inflections and boundary singularities. 92a:58011 

Bruce, J. W. (with Giblin, P. J.) Families of spheres (and circles). 92b:58027 

— (with Romero Fuster, M. Carmen) Duality and orthogonal projections of curves and 
surfaces in Euclidean 3-space. 92k:58030 

— (with Ruas, M. A. S.; Saia, M. J.) A note on determinacy. 92i:58021 

Cao, Yi The V, determinacy of map-germs. (Chinese) 92j:58011 

Chu, Ch’uan I On the Kuiper-Kuo theorem. 92e:58025 

Damon, James On the Pham example and the universal topological stratification of 
singularities. 92g:58015 

— The versality discriminant and local topological equivalence of mappings. (French 
summary) 92d:58014 

— (with Mond, D. M. Q.) 9 -codimension and the vanishing topology of discriminants. 
92m:58011 

Fukuda, Takuo see Aoki, Kenji; et al., 92e:58024 

Giblin, P. J. see Bruce, J. W., 92b:58027 

Givental’, A. B. Reflection groups in singularity theory. (Russian. English summary) 
92k:58031 

Goryunov, V. V. Bifurcations with symmetries. (Russian) 92m:58012 

— Projections of generic surfaces with boundaries. 92b:58028 

Gusein-Zade, S. M. On the degree of an equivariant map. 92j:58012 

Hoang Hii’u-Du’o’ng (with Nguyén Van Minh) Local models of the greatest characteristic 
exponent of differential equations depending on parameters. 92¢e:58026 

— (with Nguyén Van Minh) Singularities of the stability frontier of generic families of 
linear differential equations. 924:58015 

Ishikawa, Goo Parametrization of a singular Lagrangian variety. 92h:58028 

Izumiya, Shydichi Topological properties of Legendrian singularities. 92i:58022 

Janeczko, Stanistaw (with Roberts, Mark) Classification of symmetric caustics. I. 
Symplectic equivalence. 92h:58029 

— (with Stewart, Ian N.) Symplectic singularities and optical diffraction. 92k:58032 

— Singularities of Lagrangian varieties and related topics. 92m:58013 

Jiang, Guang Feng A note on right equivalence. (Chinese) 92:58016 

Kazaryan, M. E. Bifurcation of flattenings and Schubert cells. 92f:58017 

Kostov, V. P. Versal deformations of differential forms of real degree on the real line. 
(Russian) 924:58016 

Kuo, T.-C. A natural equivalence relation on singularities. 92a:58012 

Kushner, L. Relative Whitney germs. 92£:58018 

— Finite determination on algebraic sets. 92h:58030 

Lefebvre, Daniele (with Pourprix, Marie-Thérése) Realisations of non-v-sufficient jets with 
value in R?, p > 1. 92j:58013 

Levine, Harold I. Stable mappings of 3-manifolds into the plane. 92b:58029 

Li, Yang Cheng Finite %,-determinacy of smooth map-germs. (Chinese. English summary) 
92i:58023 

Mond, D. M.Q. Deformations which preserve the nonimmersive locus of a map-germ. 
92d:58017 

— see also Damon, James, 92m:58011 

Montaldi, James Caustics in time reversible Hamiltonian systems. 92k:58033 





971 1992 


— On generic composites of maps. 92d:58018 
Nakai, Isao Nice dimensions for the Jp equivalence relation of diagrams of map germs. 
92¢:58006 


Nguyén Van Minh see Hoang Hi’u-Du’d’ng, 924:58015 and 92e:58026 

Nishimura, Takashi On topologically infinitely determined map germs. 92£:58019 

— see also Aoki, Kenji; et al., 92e:58024 

Peters, Martin Classification of two-parameter bifurcations. 92i:58024 

du Plessis, Andrew (with Wilson, Leslie Charles) Right-symmetry of mappings. 92k:58034 

Pourprix, Marie-Thérése see Lefebvre, Daniele, 92j:58013 

Rieger, J. H. (with Ruas, M. A.S.) Classification of .0/ -simple germs from k” to k?. 
924:58019 

Roberts, Mark see Janeczko, Stanistaw, 92h:58029 

Romero Fuster, M. Carmen see Bruce, J. W., 92k:58030 

Ruas, M. A.S. see Rieger, J. H., 92d:58019 and Bruce, J. W.; et al., 92i:58021 

Saia, M. J. see Bruce, J. W.; et al., 92i:58021 

Sapronov, Yu. I. Corner singularities and multidimensional folds in nonlinear analysis. 
(Russian. English summary) (see 92f:58004) 

Sergeichuk, V. V. A remark on the classification of holomorphic matrices up to similarity. 
(Russian) 92k:58035 

Stewart, Ian N. see Janeczko, Stanisiaw, 92k:58032 

Tari, F. Projections of piecewise-smooth surfaces. 92i:58025 

Wall, C. T. C. Survey of recent results on singularities of equivariant maps. 92e:58027 

Wassermann, Gordon Classification of singularities with compact abelian symmetry. 
92e:58028 

Wilson, Leslie Charles see du Plessis, Andrew, 92k:58034 

Zakalyukin, V.M. Nice dimensions in singularity theory and their generalizations. 
(Russian) 92j:58014 

Zhang, Guo Bin Finite determinacy of smooth map-germs. III. M-.%, determinacy. 
(Chinese) 92h:58031 


Items with secondary classifications in 58C27 


Arnol'd, V. 1. Contact geometry: the geometrical method of Gibbs’s thermodynamics. 
924:58205 

Bekka, K. C-régularité et trivialité topologique. [C-regularity and topological triviality] 
92h:58012 


Damon, James .% -equivalence and the equivalence of sections of images and discriminants. 


92m:32057 

— On the number of branches for real and complex weighted homogeneous curve singulari- 
ties. 92£:32060 

Davydov, A. A. Singularities in optimization problems. (Russian) 92m:49030 

Dimca, Alexandru * Topics on real and complex singularities. 92d:32048 

Fortier, Claude (with Gervais, Jean-Jacques) Persistence of bifurcation diagrams in the 
presence of symmetry. 92i:58133 

Gaffney, T. (with Mond, D. M. Q.) Cusps and double folds of germs of analytic maps C? 
C2. 92f:32061 

— (with Mond, D. M. Q.) Weighted homogeneous maps from the plane to the plane. 
92¢:32043 

Gervais, Jean-Jacques see Fortier, Claude, 92i:58133 

(Gibbs, J. Willard) see Arnol’d, V. I.,.92d:58205 

Janovsky, Viadimir (with Plechaé, Petr) Computer-aided analysis of imperfect bifurcation 
diagrams. I. Simple bifurcation point and isola formation centre. 92m:65076 

Kanda, Makoto see Shintani, Hisayoshi, 922:65199 

Karpushkin, V. N. Structure of uniform estimates in partial phase deformation. 92f:58178 

Kokubu, Hiroshi see Oka, Hiroe, 92h:58144 

Kossowski, Marek The asymptotic blow-up of a surface in Euclidean 3-space. 92k:53008 


Kozameh, Carlos (with Lamberti, Pedro W.; Reula, Oscar) Global aspects of light cone cuts. 


92m:83036 

Kusmartsev, F. V. Singularity of differential mappings and stability of solitons. 92a:58080 

— (with Mielke, Eckehard W.; Schunck, Franz E.) Gravitational stability of boson stars. 
92b:83084 

Lamberti, Pedro W. see Kozameh, Carlos; et al., 92m:83036 

Langevin, Rémi (with Levitt, Gilbert; Rosenberg, Harold) Hérissons et multihérissons 
(enveloppes parametrées par leur application de Gauss). [Hedgehogs and multihedgehogs 
(envelopes parametrized by their Gauss map)] 92a:58015 

Levitt, Gilbert see Langevin, Rémi; et al., 92a:58015 

Mielke, Eckehard W. see Kusmartsev, F. V.; et al., 92b:83084 

Mond, D. M.Q. see Gaffney, T., 92c:32043; 92:32061 and Singularity theory and its 
applications, 924:00035 

Montaldi, James (with Roberts, Mark; Stewart, Ian N.) Existence of nonlinear normal 
modes of symmetric Hamiltonian systems. 92e:58190 

— (with van Straten, Duco) One-forms on singular curves and the topology of real curve 
singularities. 92e:32024 

— see also Singularity theory and its applications, 92d:00035 

Negrén-Marrero, Pablo V. Shear instabilities for the buckling of non-linearly elastic plates. 
92g:73051 

Nuiio Ballesteros, Juan J. (with Romero Fuster, M. Carmen) Curves with no tritangent 
planes in space and their convex envelopes. 924:53004 

Oka, Hiroe (with Kokubu, Hiroshi) Versal unfoldings of constrained systems of corank 1. 
92h:58144 

Pan, Yi Biao (with Sogge, Christopher D.) Oscillatory integrals associated to folding 
canonical relations. 92e:58210 

Pignoni, Roberto Curves and surfaces in real projective spaces: an approach to generic 
projections. 92e:14055 

— On surfaces and their contours. 92h:57022 

Plechdé, Petr see Janovsky, Viadimir, 92m:65076 

Reula, Oscar see Kozameh, Carlos; et al., 92m:83036 

Roberts, Mark see Montaldi, James; et al., 92e:58190 and Singularity theory and its 
applications, 92d:00036 

Romero Fuster, M. Carmen see Nuiio Ballesteros, Juan J., 92d:53004 

Rosenberg, Harold see Langevin, Rémi; et al., 92a:58015 


58C Calculus on manifolds; nonlinear operators 


58C28 


Rousseau, Christiane Universal unfolding of a singularity of a symmetric vector field with 
7-jet C®-equivalent to y9/Ax + (+x + x*y)d/Ay. 92c:58097 

Ruf, Bernhard Singularity theory and the geometry of a nonlinear elliptic equation. 
924:35107 

— Singularity theory and the bifurcation structure of a nonlinear elliptic equation. 
92£:58194 

Schunck, Franz E. see Kusmartsev, F. V.; et al., 92b:83084 

Shestopalov, V. P. see Sirenko, Yu. K.; et al., 92m:78018 

Shintani, Hisayoshi (with Kanda, Makoto) Extended systems for numerical computation 
of double and triple turning points. 92a:65199 

Sirenko, Yu. K. (with Shestopalov, V. P.; Yatsik, V. V.) The Morse critical points of 
dispersion equations for diffraction gratings. (Russian. English and Ukrainian summaries) 
92m:78018 

Sogge, Christopher D. see Pan, Yi Biao, 92e:58210 

Stewart, Ian N. see Montaldi, James; et al., 92e:58190 and Singularity theory and its 
applications, 92d:00036 

van Straten, Duco see Montaldi, James, 92¢:32024 

Zbigniew Topological invariants of weighted homogeneous polynomials. 

92j:32130 

Thom, René Philosophie de la singularité. [The philosophy of singularity] 92h:58032 

— Problémes rencontrés dans mon parcours mathématique: un bilan. [Problems encoun- 
tered during my mathematical journey: an evaluation] 92a:58001 

Trotman, David On Canny’s roadmap algorithm: orienteering in semialgebraic sets (an 
application of singularity theory to theoretical robotics). 92k:58014 

Vasil’ev, V. A. Characteristic classes of singularities. (Russian) (see 92f:58004) 

Wall, C.T.C. Deformations of real singularities. 92¢:32045 

Yatsik, V. V. see Sirenko, Yu. K.; et al., 92m:78018 

Zaharia, Alexandra On simple germs with nonisolated singularities. 92m:32058 

Zakalyukin, V.M. Generating ideals of Lagrangian varieties. 92g:58038 


Items listed otherwise than by author 


Coventry * Singularity theory and its applications. Part 1. 924:00035 
— * Singularity theory and its applications. Part II. 924:00036 
Lecture Notes in Mathematics * Singularity theory and its applications. Part I. 92d4:00035 
— * Singularity theory and its applications. Part II. 92d:00036 
Singularity theory and its applications * Singularity theory and its applications. Part I. 
924:00035 
— * Singularity theory and its applications. Part II. 92d:00036 
Symposium: 
Singularity Theory and its Applications * Singularity theory and its applications. Part I. 
924:00035 
— * Singularity theory and its applications. Part II]. 924:00036 


58C28 Catastrophes [see also 57R70, 58Exx] 


Abraham, Ralph H. * On morphodynamics. 92c:58007 

Cowell, R. G. (with Wright, F. J.) Truncation criteria and algorithm for the reduction to 
normal form of catastrophe unfoldings. I. Singularities with zero rank. 92a:58013 

— (with Wright, F. J.) Truncation criteria and algorithm for the reduction to normal form 
of catastrophe unfoldings. II. Singularities with nonzero rank. 92a:58014 

— Application of ordered standard bases to catastrophe theory. 92m:58014 

Jank, Walther Kinematische Betrachtungen iiber Kaustiken ebener Kurven. (English 
and Serbo-Croatian summaries) [Kinematic reflections on caustics of plane curves] 
924:58020 

Kellman, Michael E. (with Xiao, Lin) New assignment of Fermi resonance spectra. 
92d:58023 

— see also Xiao, Lin, 924:58022 

Langevin, Rémi (with Levitt, Gilbert; Rosenberg, Harold) Hérissons et multihérissons 
(enveloppes parametrées par leur application de Gauss). [Hedgehogs and multihedgehogs 
(envelopes parametrized by their Gauss map)] 92a:58015 

Levitt, Gilbert see Langevin, Rémi; et al., 92a:58015 

Peixoto, M. M. (with da Silva, A. R.) Enumerative two-point boundary value problems and 
a theorem of S. Bernstein. 92d:58021 

Rosenberg, Harold see Langevin, Rémi; et al., 92a:58015 

da Silva, A. R. see Peixoto, M. M., 92d:58021 

Stewart, H. B. (with Ueda, Yoshisuke) Catastrophes with indeterminate outcome. 
92g:58016 

Thom, René Philosophie de la singularité. [The philosophy of singularity] 92h:58032 

Ueda, Yoshisuke see Stewart, H. B., 92g:58016 

Wright, F. J. see Cowell, R. G., 92a:58013 and 92a:58014 

Xiao, Lin (with Kellman, Michael E.) Catastrophe map classification of the generalized 
normal-local transition in Fermi resonance spectra. 92d:58022 

— see also Kellman, Michael E., 92d:58023 


Items with secondary classifications in 58C28 

Abraham, Frederick David * A visual introduction to dynamical systems theory for 
psychology. 

(Abraham, Ralph H.) see Abraham, Frederick David 

Berry, Michael Victor Rays, wavefronts and phase: a picture book of cusps. (see 92m:78001) 

Castro, Liliana see Moiola, Jorge; et al., 92c:58095 

Cendra, Hernan see Moiola, Jorge; et al., 92c:58095 

Desages, Alfredo C. see Moiola, Jorge; et al., 92c:58095 

(Garfinkel, Alan) see Abraham, Frederick David 

Kusmartsev, F. V. Singularity of differential mappings and stability of solitons. 92a:58080 

— (with Mielke, Eckehard W.; Schunck, Franz E.) Stability of neutron and boson stars: a 
new approach based on catastrophe theory. 92f:83086 

Kut‘in, E.1. (with Lorman, V. L.; Pavlov, S. V.) Methods of the theory of singularities in 
the phenomenology of phase transitions. (Russian) 92g:82038 

Lorman, V. L. see Kut‘in, E. 1; et al., 92g:82038 

Luss, D. Steady-state multiplicity of distributed parameter systems. 92c:80030 





58C28 


Mielke, Eckehard W. see Kusmartsev, F. V.; et al., 92f:83086 

Moiola, Jorge (with Castro, Liliana; Cendra, Hernan; Desages, Alfredo C.) Degenerate 
bifurcations and catastrophe sets via frequency analysis. 92c:58095 

Musgrave, M. J. P. Constraints of positive definite strain energy—some geometrical 
insights. 92i:73025 

Paris, R. B. The asymptotic behaviour of Pearcey’s integral for complex variables. 
92h:41064 

Pavlov, S. V. see Kut'in, E. 1.; et al., 92g:82038 

Peters, Martin Classification of two-parameter bifurcations. 92i:58024 

(Roberts, Mark) see Singularity theory and its applications, 92d:00036 

Schunck, Franz E. see Kusmartsev, F. V.; et al., 92f:83086 

(Shaw, Christopher D.) see Abraham, Frederick David 

Skobelev, B. Yu. Finite-dimensional invariant approximation of the Navier-Stokes 
equations and self-oscillating modes of the Poiseuille flow. (Russian) 92a:76029 

(Stewart, Ian N.) see Singularity theory and its applications, 924:00036 

Tari, F. Projections of piecewise-smooth surfaces. 92i:58025 

Thom, René Problémes rencontrés dans mon parcours mathématique: un bilan. [Problems 
encountered during my mathematical journey: an evaluation] 92a:58001 

Whiston, G. S. Singularities in vibro-impact dynamics. 92m:58080 


Items listed otherwise than by author 


Coventry * Singularity theory and its applications. Part II. 92d:00036 
Lecture Notes in Mathematics * Singularity theory and its applications. Part II. 92d:00036 
Singularity theory and its applications * Singularity theory and its applications. Part II. 
92d:00036 
Symposium: 
Singularity Theory and its Applications * Singularity theory and its applications. Part II. 
92d:00036 


58C30 Fixed point theorems on manifolds[see also 47H10] 


Bartsch, Thomas (with Mawhin, Jean L.) The Leray-Schauder degree of S'-equivariant 
operators associated to autonomous neutral equations in spaces of periodic functions. 
92e:58029 

Borisovich, Yu. G. A modern approach to the theory of topological characteristics of 
nonlinear operators. II [in Global analysis and nonlinear equations (Russian), 22-43, 
Voronezh. Gos. Univ., Voronezh, 1988; MR 90j:58013]. (see 92b:58001) 

— (with Shpil’berg, M. 1.) Relative topological characteristics of mappings [in Topological 
and geometric methods of analysis (Russian), 43-57, Voronezh. Gos. Univ., Voronezh, 
1989; MR 91d:58024]. (see 92b:58001) 

Chen, Yu Qing see Zhang, Shi Sheng; et al., 92c:58008 

Fan, Xian Ling The topological degree of set-valued compact perturbations of Fredholm 
mappings. (Chinese. English summary) 92i:58026 

Mawhin, Jean L. see Bartsch, Thomas, 92¢e:58029 

Shpil’berg, M. I. see Borisovich, Yu. G., (92b:58001) 

Zhang, Shi Sheng (with Chen, Yu Qing) Coincidence indices on Banach manifolds. 
(Chinese. English summary) 92c¢:58008 


Items with secondary classifications in 58C30 


Akashi, Wilson Yoshihiro (with Miller, Célia Peitl) The method of topological degree of a 
mapping in hyperbolic problems. (Portuguese. English summary) 92j:47117 

Akhmerov, R. R. (with Kamenskii, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskii, B. N.) 
* Measures of noncompactness and condensing operators. 92k:47104 

Aligower, Eugene L. (with Georg, Kurt) * Numerical continuation methods. 92a:65165 

Berkovits, Juha Topological degree and multiplication theorem for a class of nonlinear 
mappings. 92k:47118 

Dancer, E. N. (with Toland, J. F.) Equilibrium states in the degree theory of periodic orbits 
with a first integral. 92m:58111 

Dylawerski, Grzegorz (with Geba, Kazimierz; Jodel, Jerzy; Marzantowicz, Waclaw) An S!- 
equivariant degree and the Fuller index. 92g:58105 

Erbe, Lynn H. (with Geba, Kazimierz; Krawcewicz, W.) Equivariant fixed point index and 
the period-doubling cascades. 92m:58107 

Geba, Kazimierz see Dylawerski, Grzegorz; et al., 92g:58105 and Erbe, Lynn H.; et al., 
92m:58107 

Georg, Kurt see Allgower, Eugene L., 92a:65165 

Gershkovich, V. Ya. Estimates for e-balls of nonholonomic metrics [in Global analysis 
and nonlinear equations (Russian), 44-57, Voronezh. Gos. Univ., Voronezh, 1988; MR 
90m:58224]. (see 92b:58001) 

Granas, Andrzej Sur quelques méthodes topologiques en analyse convexe. [On some 
topological methods in convex analysis] 92¢:90076 

(Iacob, A.) see Akhmerov, R. R.; et al., 92k:47104 

Jodel, Jerzy see Dylawerski, Grzegorz; et al., 92g:58105 

Kamenskii, M.1I. see Akhmerov, R. R.; et al., 92k:47104 

Krawcewicz, W. see Erbe, Lynn H.; et al., 92m:58107 

Kuczumow, Tadeusz (with Stachura, Adam) Bruck’s retraction method. (French summary) 
92:47060 

Marzantowicz, Waclaw see Dylawerski, Grzegorz; et al., 92g:58105 

Mas-Colell, Andreu * The theory of general economic equilibrium. 92i:90024 

Miller, Célia Peitl see Akashi, Wilson Yoshihiro, 92j:47117 

Oh, Yong-Geun A symplectic fixed point theorem on 72" x CP‘. 92b:58074 

Potapov, A.S. see Akhmerov, R. R.; et al., 92k:47104 

Rabier, Patrick J. Topological degree and the theorem of Borsuk for general covariant 
mappings with applications. 92b:55001 

Rodkina, A. E. see Akhmerov, R. R.; et al., 92k:47104 

Sadovskii, B. N. see Akhmerov, R. R.; et al., 92k:47104 

Smale, Stephen Some remarks on the foundations of numerical analysis [MR 91k:00007]. 
(see 92¢:58001) 

Song, Fu Min Generalized relative degrees of W-A-proper mappings and their applications. 
(Chinese) 92£:47065 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 1992 972 


Song, Shu Ni The generalized topological degree and its application. (Chinese. English 
summary) 92e:47113 

Stachura, Adam see Kuczumow, Tadeusz, 92f:47060 

Toland, J. F. see Dancer, E. N., 92m:58111 

Zabreiko, P. P. Abstract relationship principles in the theory of nonlinear operator 
equations. 92e:47114 

Zhong, Cheng Kui Computation of the topological degree of equivariant completely 
continuous fields in Banach spaces. (Chinese) 92i:47075 

Zvyagin, V.G. The oriented degree of a class of perturbations of Fredholm mappings and 
the bifurcation of the solutions of a nonlinear boundary value problem with noncompact 
perturbations. (Russian) 92m:58020 


58C35 Integration on manifolds; measures on manifolds 
[see also 28Cxx] 


Blimlinger, Martin Asymptotic distribution and weak convergence on compact Riemannian 
manifolds. 92h:58033 

Mahoux, Gilbert see Mehta, Madan Lal, 92i:58027 

Mehta, Madan Lal (with Mahoux, Gilbert) A method of integration over matrix variables. 
Ill. 92i:58027 

Takens, Floris Measure and category. 92m:58015 


Items with secondary classifications in 58C35 

Altschiiler, Daniel (with Itzykson, Claude) Remarks on integration over Lie algebras. 
(French summary) 92b:17052 

Bogachev, V. I. Smooth measures, the Malliavin calculus and approximations in infinite- 
dimensional spaces. 92h:58025 

Brandi, Primo (with Salvadori, Anna) A quasi-additivity type condition and the integral 
over a BV variety. 92b:49079 

Chen, Jie Cheng (with Wang, Si Lei) Comparison between maximal function and square 
function on positively curved manifolds. 92g:58122 

Darchen, Jean-Claude Intégration sur un ensemble stratifié. (English summary) [Integration 
on a stratified set] 92c:58003 

Itzykson, Claude (with Zuber, J.-B.) Combinatorics of mapping class groups and matrix 
integration. 92h:57021 

— see also Altschiiler, Daniel, 92b:17052 

Khafizov, M. U. A quasi-invariant smooth measure on the group of diffeomorphisms of a 
domain. (Russian) 92:58026 

Salvadori, Anna see Brandi, Primo, 92b:49079 

Smorodina, N. V. The Gauss-Ostrogradskii formula for a configuration space. (Russian) 
92£:60006 

Wang, Si Lei see Chen, Jie Cheng; et al., 92g:58122 

Zuber, J.-B. see Itzykson, Claude, 92h:57021 


58C40 Spectral theory; eigenvalue problems [see also 47H12, 
58E07] 


Items with secondary classifications in 58C40 


Alexander, James C. (with Gardner, Robert Alan; Jones, Christopher K. R. T.) A 
topological invariant arising in the stability analysis of travelling waves. 92d:58028 

Gardner, Robert Alan see Alexander, James C.; et al., 92d:58028 

Hoang Hii’u-Du’o’ng (with Nguyen Van Minh) Local models of the greatest characteristic 
exponent of differential equations depending on parameters. 92e:58026 

Jones, Christopher K.R.T. see Alexander, James C.; et al., 92d:58028 

Nguyén Van Minh see Hoang Hii’u-Du’d’ng, 92e:58026 

Rynne, B. P. Bifurcation from eigenvalues in nonlinear multiparameter problems. 
92d:47080 


58C50 Analysis on supermanifolds or graded manifolds 


Bongaarts, P. J. M. Mathematical aspects of supersymmetry and anticommuting variables. 
I. The one-dimensional Wess-Zumino model. 92m:58016a 

— Mathematical aspects of supersymmetric theories. II. Algebras and derivations. 
92m:58016b 

Bruzzo, Ugo (with Landi, Giovanni) Geometry of standard constraints and anomalous 
supersymmetric gauge theories. 92a:58016 

Cianci, Roberto Some results in the theory of systems of second order partial differential 
equations on superspace. 92e:58030 

Khrennikov, A. Yu. Formulas for integration by parts for Feynman and Gaussian distribu- 
tions on superspace. (Russian) 92a:58017 

— Pseudotopological commutative superalgebras with nilpotent souls. (Russian) 92d:58024 

Kpekpassi, M. An analogue of Dubinskii’s theorem for differential equations on an infinite- 
dimensional superspace. (Russian) 92k:58036 

Landi, Giovanni see Bruzzo, Ugo, 92a:58016 

van der Lende, E. D. (with Pijls, H.G. J.) Super Hamiltonian operators and Lie superalge- 
bras. 92e:58031 

Maslova, E. V. Solution of the Cauchy problem for several differential equations that 
contain the Laplace operator in a superspace. (Russian) 92b:58030 

Pestov, V.G. Nonstandard hulls of normed Grassmann algebras and their applications in 
superanalysis. (Russian) 92f:58020 

Pijls, H. G. J. see van der Lende, E. D., 92e:58031 

Yankov, Christian L. On the germs of superanalytic functions. (see 92d:30002) 

Zirnbauer, Martin R. Fourier analysis on a hyperbolic supermanifold with constant 
curvature. 92k:58037 


Items with secondary classifications in 58C50 


Beckers, J. (with Gagnon, Langis; Hussin, Véronique; Winternitz, Pavel) Superposition 
formulas for nonlinear superequations. 92e:58193 





973 1992 


Bruzzo, Ugo (with Landi, Giovanni) Cohomology of supermanifolds and anomalous 
supersymmetric gauge theories. 92d:58005 

Brydges, David C. (with Muiioz Maya, Ismael) An application of Berezin integration to 
large deviations. 92h:60111 

Cianci, Roberto * Introduction to supermanifolds. 92b:58014 

De Filippo, Sergio A commutative setting for integrable theories with fermions. 92h:58082 

— A bosonization procedure for Hamiltonian theories with fermions. 92m:58058 

Demidov, E. E. Function algebras on quantum matrix supergroups. (Russian) 924:16046 

Dé Ngoc Diép Multidimensional quantization. V. The mechanical systems with supersym- 
metry. 92f:58069 

Duplii, S.A. N = 2 super-Riemann surfaces and conformal superfields. (Russian. English 
summary) 92f:81203 

— On types of N = 2 superconformal transformations. (Russian. English summary) 
924:81120 

Fradkin, E.S. (with Linetskii, V. Ya.) Quantization and cocycles on the supertorus and 
large-N limits for the classical Lie superalgebras. 92c:17043 

Gagnon, Langis see Beckers, J.; et al., 92e:58193 

Hussin, Véronique see Beckers, J.; et al., 92e:58193 

Ivanov, Evgenii Alekseevich? (with Smilga, A. V.) Supersymmetric gauge quantum 
mechanics: superfield description. 92b:81045 

Landi, Giovanni see Bruzzo, Ugo, 924:58005 

Linetskii, V. Ya. see Fradkin, E. S., 92c:17043 

Martin, I. see Mendoza, A.; et al., 92k:81205 

Mendoza, A. (with Restuccia, A.; Martin, I.) Reduction of 4-dim self-dual super Yang-Mills 
equations onto super Riemann surfaces. 92k:81205 

Muiioz Maya, Ismael see Brydges, David C., 92h:60111 

Myung, Yun Soo N = 2 supermodular transformation on supertorus. 92d:32013 

Onishchik, A. L. Lie superalgebras of vector fields. 92g:17030 

Ovsienko, O. D. Deformation of Poisson structures and contact Lie (super) algebras of 
string theories. (Russian) 92i:17031 

Restuccia, A. see Mendoza, A.; et al., 92k:81205 

Rogers, Alice Integration and global aspects of supermanifolds. 92i:58013 

— Path integration on supermanifolds. 92j:58018 

— Stochastic calculus in superspace and supersymmetric Hamiltonians. 92j:81133 

Schmitt, Thomas! Symbols alias generating functionals—a supergeometric point of view. 
92j:81344 

Sezgin, Ergin Gauge theories of infinite-dimensional Hamiltonian superalgebras. (see 
92i:81012) 

Smilga, A. V. see Ivanov, Evgenii Alekseevich”, 92b:81045 

Smolyanov, O. G. Infinite-dimensional distributions and second quantization in string 
theories. (see 92m:60004) 

Villasante, Manuel A general tensor calculus for old-minimal Poincaré supergravity. 
92:83078 

Watanabe, Yoshihide A Hamilton formalism for evolution equations with odd variables. 
92g:58060 

Winternitz, Pavel see Beckers, J.; et al., 92e:58193 


58C99 None of the above, but in this section 
Manturov, O. V. A multiplicative integral. (Russian) 92f:58021 


Items with secondary classifications in 58C99 


Geba, Leszek (with Pruszko, Tadeusz) Some applications of minimax and topological 
degree to the study of the Dirichlet problem for elliptic partial differential equations. 
92m:35072 

Gonzalez, Manuel (with Gutiérrez del Alamo, Joaquin M.) Compact and weakly compact 
homomorphisms between algebras of differentiable functions. 

Gutiérrez del Alamo, Joaquin M. see Gonzalez, Manuel 

Mirica, Ion see Mirica, Stefan, 92g:49004 

Mirica, Stefan (with Mirica, lon) Distinct types of intrinsic tangent cones to arbitrary 
subsets of Euclidian spaces. 92g:49004 

Pruszko, Tadeusz see Geba, Leszek, 92m:35072 


58Dxx Spaces and manifolds of mappings (including 
nonlinear versions of 46Exx) 


58D05 Groups of diffeomorphisms and homeomorphisms as 
manifolds [see also 22E65, 57S05] 


Cervera Mateu, Vicente A decomposition of volume-preserving diffeomorphisms. (Spanish) 
(see 92g:00024) 

Dowker, J.S. (with Wei, Mo Zheng) Area-preserving diffeomorphisms and the stability of 
the atmosphere. 92b:58031 

Eliashberg, Yakov (with Ratiu, T. S.) On the diameter of the symplectomorphism group of 
the ball. 92¢:58009 

— (with Ratiu, T. S.) The diameter of the symplectomorphism group is infinite. 92a:58018 

Ghys, Etienne Prolongements des difféomorphismes de la sphére. [Extensions of diffeomor- 
phisms of the sphere] 92f:58022 

Golenishcheva-Kutuzova, M. 1. Generic orbits of the diffeomorphism group of a two- 
manifold in the space 6;,, of regular momenta. 92k:58038 

Ratiu, T.S. see Eliashberg, Yakov, 92a:58018 and 92c:58009 

Wei, Mo Zheng see Dowker, J. S., 92b:58031 

Yasskin, Philip B. Partial groups, doubly semi-direct products, and the decomposition of 
the spacetime diffeomorphism group. 92e:58032 


Items with secondary classifications in 58D05 


Albertin, Uwe K. (with Morrison, Harry L.) Representations of the diffeomorphism group 
describing an infinite Bose gas in the presence of ideal vortex filaments. 92¢:22033 





58D Spaces and manifolds of mappings 


58D17 


— The diffeomorphism group and flat principal bundles. 92k:22032 

Aleksovskii, V. A. (with Lukatskii, A. M.) Nonlinear dynamics of ferromagnet magnetiza- 
tion and the motion of a generalized rigid body with a current group. (Russian. English 
summary) 92g:82128 

Andersson, Lars Ake Momenta and reduction for general relativity. II. The level sets. 
92g:58017 

Baranov, Yu. S. Semigroups of diffeomorphisms and a case of the motion of a viscous fluid. 
(Russian) 92k:58042 

Bowick, Mark J. (with Yang, Kong Qing) String equations of motion from vanishing 
curvature. 92h:81119 

Dowker, J.S. see Wolski, A., 92h:58015 

Freedman, Michael H. (with He, Zheng-Xu) Links of tori and the energy of incompressible 
flows. 92e:58062 

Gusein-Zade, S. M. Stratifications of a space of functions, and algebraic K-theory. 
(Russian) 92k:57039 

He, Zheng-Xu see Freedman, Michael H., 92¢:58062 

Ismagilov, R.S. Spherical functions on a group of volume-preserving diffeomorphisms. 
(Russian) 92j:22036 

Lukatskii, A.M. Negativity of curvatures of the group of diffeomorphisms for locally 
Euclidean manifolds. (Russian) 92b:58018 

— see also Aleksovskii, V. A., 92g:82128 

Morrison, Harry L. see Albertin, Uwe K., 92e:22033 

Wolski, A. (with Dowker, J.S.) Area-preserving diffeomorphisms of Riemann surfaces. 
92h:58015 

Yang, Kong Qing see Bowick, Mark J., 92h:81119 


58D07 Groups and semigroups of nonlinear operators 
[see also 17B65, 47D03, 47D06, 47H20] 


Items with secondary classifications in 58D07 

Bu, Qiyue see Carroll, Robert Wayne, 92d:35268 

Carroll, Robert Wayne (with Bu, Qiyue) Solution of the forced nonlinear Schrédinger 
(NLS) equation using PDE techniques. 924:35268 


58D10 Spaces of imbeddings and immersions 


Arteaga, Carlos Centralizers of expanding maps on the circle. 92c:58010 

Beem, John K. (with Parker, Phillip E.) The space of geodesics. 924:58025 

Parker, Phillip E. see Beem, John K., 92d:58025 

Sarychev, A. V. Homotopy properties of the space of trajectories of a completely nonholo- 
nomic differential system. (Russian) 92d:58026 

White, Brian Cabell The space of minimal submanifolds for varying Riemannian metrics. 
92i:58028 


Items with secondary classifications in 58D10 
McDuff, Dusa Blow ups and symplectic embeddings in dimension 4. 92m:57039 


58D15 Manifolds of mappings [see also 54C35] 


Bethuel, Fabrice The approximation problem for Sobolev maps b two 
92£:58023 

Inoue, Atsushi On functional-differential equations—a recommendation for analysis on 
function space. II. (Japanese) 

Neves, Vitor Smooth structures on C®(M, N). 92c:58011 





Items with secondary classifications in 58D15 

Bojarski, Bogdan Remarks on some geometric properties of Sobolev mappings. 92k:46046 

Burghelea, D. The free loop space. I. Algebraic topology. 92h:57053 

Cohen, F.R. (with Cohen, R. L.; Mann, Benjamin M.; Milgram, R. James) The topology of 
rational functions and divisors of surfaces. 92k:55011 

Cohen, R. L. see Cohen, F. R.; et al., 92k:55011 

Kriegl, A. (with Michor, Peter W.) The convenient setting for real analytic mappings. 
92a:58009 

Mann, Benjamin M. see Cohen, F. R.; et al., 92k:55011 

Marion, Jean Albert Outline of harmonic analysis on groups of paths with values in a 
Sobolev gauge group. 92i:58015 

Michor, Peter W. see Kriegl, A., 92a:58009 

Mickelsson, Jouko Fock bundles, commutator anomalies, and representations of groups of 
gauge transformations. 92j:81334 

Milgram, R. James see Cohen, F. R.; et al., 92k:55011 

Moriyasu, Kazumine The extension of dominated splittings for C'-regular maps. 
92m:58103 

Neves, Vitor Nonnormality of #°(M, N) in Whitney’s and related topologies when M is 
open. 92g:58014 

Pressley, Andrew N. (with Segal, Graeme B.) * Ipynnpi netens. (Russian) [Loop groups] 
92a:22024 

(Radul, A. O.) see Pressley, Andrew N., 92a:22024 

Sakai, Katsuro The space of Lipschitz maps from a compactum to an absolute neighbor- 
hood LIP extensor. 92k:57036 

Salamon, Dietmar Morse theory, the Conley index and Floer homology. 92a:58028 

Segal, Graeme B. see Pressley, Andrew N., 92a:22024 

Vasil’ev, V. A. Cohomology of knot spaces. 92a:57016 

(Wilson, George) see Pressley, Andrew N., 92a:22024 

(Zelevinskii, A. V.) see Pressley, Andrew N., 92a:22024 


58D17 Manifolds of metrics (esp. Riemannian) 


Anderson, Michael T. The L? structure of moduli spaces of Einstein metrics on 4- 
manifolds. 92m:58017 





58D17 


Besson, Gérard (with Courtois, Gilles; Gallot, Sylvestre) Volume et entropie minimale 
des espaces localement symétriques. [Volume and minimal entropy of locally symmetric 
spaces] 924:58027 

Courtois, Gilles see Besson, Gérard; et al., 92d:58027 

Gallot, Sylvestre see Besson, Gérard; et al., 92d:58027 

Gil-Medrano, Olga (with Michor, Peter W.) The Riemannian manifold of all Riemannian 
metrics. 92f:58024 

Michor, Peter W. see Gil-Medrano, Olga, 92f:58024 

Smolentsev, N. K. The space of associated metrics on a regular contact manifold. (Russian) 
92e:58033 


Items with secondary classifications in 58D17 

Baulieu, Laurent (with Singer, 1. M.) Conformally invariant gauge fixed actions for 2-D 
topological gravity. 92d:58029 

Gao, L. Zhiyong Convergence of Riemannian manifolds; Ricci and L”/?-curvature pinching. 
92£:53049 

Grimaldi, Renata Sur l’existence d’une infinité continue de structures asymptotiques sur le 
fibré tangent d’une surface ouverte. (Italian summary) [Existence of a continuous infinity 
of asymptotic structures on the tangent bundle of an open surface] 92k:53066 

Ikeda, Nobuyuki (with Ogura, Yukio) A degenerating sequence of Riemannian metrics on a 
manifold and their Brownian motions. 92e:58234 

Itoh, Mitsuhiro Yamabe metrics and the space of conformal structures. 92j:58023 

Ogura, Yukio see Ikeda, Nobuyuki, 92e:58234 

Pekonen, Osmo On the variational characterization on conformally flat 3-manifolds. 
92b:58047 

Short, Kevin M. New geometric formulation of string theory. 92a:81158 

Singer, I. M. see Baulieu, Laurent, 92d:58029 


58D19 Group actions and symmetry properties 


Abbati, Maria Cristina (with Cirelli, Renzo; Mania, Alessandro) The orbit space of the 
action of gauge transformation group on connections. 92b:58032 

Cirelli, Renzo see Abbati, Maria Cristina; et al., 92b:58032 

Dell’Antonio, Gianfausto (with Zwanziger, Daniel) Every gauge orbit passes inside the 
Gribov horizon. 92i:58029 

Mania, Alessandro see Abbati, Maria Cristina; et al., 92b:58032 

Pekonen, Osmo Slice theorems for the action of diffeomorphism groups on the space of 
almost complex structures on a compact manifold. (Russian summary) 92c¢:58012 

Zwanziger, Daniel see Dell’Antonio, Gianfausto, 92i:58029 


Items with secondary classifications in 58D19 

Aratyn, H. (with Nissimov, E.; Pacheva, S.) The hidden Kac-Moody symmetry of the 
geometric actions. 92a:81050 

— (with Nissimov, E.; Pacheva, S.) Coset construction of superstrings via the coadjoint 
orbit method. 92a:81137 

Dell’Antonio, Gianfausto (with Zwanziger, Daniel) All gauge orbits and some Gribov copies 
encompassed by the Gribov horizon. 92k:58058 

Nissimov, E. see Aratyn, H.; et al., 92a:81050 and 92a:81137 

Pacheva, S. see Aratyn, H.; et al., 92a:81050 and 92a:81137 

Vershik, A.M. Metagonal groups of finite and infinite dimension. 92¢:22044 

Yasskin, Philip B. Partial groups, doubly semi-direct products, and the decomposition of 
the spacetime diffeomorphism group. 92e:58032 

Zwanziger, Daniel see Dell’Antonio, Gianfausto, 92k:58058 


58D20 Measures (Gaussian, cylindrical, etc.) on manifolds of 
maps [See 28Cxx] 


Atiyah, Michael Francis (with Jeffrey, L.) Topological Lagrangians and cohomology. 
92f:58025 

Fine, Dana S. Quantum Yang-Mills on the two-sphere. 92a:58019 

Groisser, David (with Parker, Thomas H.) Semiclassical Yang-Mills theory. I. Instantons. 
92e:58034 

Jeffrey, L. see Atiyah, Michael Francis, 92f:58025 

Khafizov, M. U. A quasi-invariant smooth measure on the group of diffeomorphisms of a 
domain. (Russian) 92f:58026 

Malliavin, Paul see Malliavin-Brameret, Marie-Paule, 92e:58035 

Malliavin-Brameret, Marie-Paule (with Malliavin, Paul) Mesures quasi invariantes sur 
certains groupes de dimension infinie. (English summary) [Quasi-invariant measures on 
infinite-dimensional groups] 92e:58035 

Parker, Thomas H. see Groisser, David, 92e:58034 


Items with secondary classifications in 58D20 

Chang, Joo Sup (with Johnson, Gerald W.) The Feynman integral and Feynman’s 
operational calculus: the (L,(R),Co(R)) theory. 924:46116 

Cugliandolo, L. F. (with Lozano, G.; Schaposnik, Fidel A.) Path-integral measure for 
Chern-Simons theory within the stochastic quantization approach. 92d:81084 

Johnson, Gerald W. see Chang, Joo Sup, 92d:46116 

Lozano, G. see Cugliandolo, L. F.; et al., 92d:81084 

Schaposnik, Fidel A. see Cugliandolo, L. F.; et al., 92d:81084 


58D25 Equatiens in function spaces; evolution equations 
[see also 34Gxx, 35K22, 35R15, 47H15] 


Alavidze, T.G. Poiniwise factorization of systems of evolution equations. (Russian) 
92b:58033 

Alexander, James C. (with Gardner, Robert Alan; Jones, Christopher K. R. T.) A 
topological invariant arising in the stability analysis of travelling waves. 92d:58028 

Demiralp, Metin (with Rabitz, Herschel) Factorization of certain evolution operators using 
Lie algebra: formulation of the method. 92e:58036a 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 974 


— (with Rabitz, Herschel) Factorization of certain evolution operators using Lie algebra: 
convergence theorems. 92e:58036b 

Gardner, Robert Alan see Alexander, James C.; et al., 92d:58028 

Gliklikh, Yu. E. On a Lagrangian approach to the hydrodynamics of a viscous incompress- 
ible fluid. (Russian) 92j:58015 

Itoh, Tatsuo On the existence and smoothness of invariant manifolds of semilinear 
evolution equations. 92a:58020 

Jones, Christopher K. R. T. see Alexander, James C.; et al., 92d:58028 

Krejéi, Pavel Hysteresis memory preserving operators. (Czech summary) 92k:58039 

Ladyzhenskaya, O. A. * Attractors for semigroups and evolution equations. 92k:58040 

Rabitz, Herschel see Demiralp, Metin, 92e:58036a and 92e:58036b 


Items with secondary classifications in 58D25 


Abdelouhab, Laziz Nonlocal dispersive equations in weighted Sobolev spaces. 92k:35226 

Babin, A. V. (with Vishik, M. I.) Semigroups dependent on a parameter, their attractors 
and asymptotic behaviour [in Global analysis and nonlinear equations (Russian), 3-21, 
Voronezh. Gos. Univ., Voronezh, 1988; MR 90k:58116]. (see 92b:58001) 

— (with Vishik, M. 1.) Uniform finite-parameter asymptotics of solutions of nonlinear 
evolution equations. 92j:35016 

Belopol'skaya, Ya. I. Second-order parabolic equations in principal fibre bundles and 
associated vector bundles [in Topological and g tric methods of analysis (Russian), 
29-42, Voronezh. Gos. Univ., Voronezh, 1989; MR 91¢:58209]. (see 92b:58001) 

Choquet-Bruhat, Yvonne (with Noutchegueme, Norbert) Solution des systemes de Yang- 
Mills-Vlasov: théorémes d’existence locale. (English summary) [Solutions of the Yang- 
Mills-Vlasov systems: local existence theorems] 92b:58227 

Fordy, Allan P. Hamiltonian structure of nonlinear evolution equations. 92i:58058 

Hale, Jack K. (with Raugel, Geneviéve) Lower semicontinuity of the attractor for a 
singularly perturbed hyperbolic equation. 92g:58076 

— (with Raugel, Geneviéve) A damped hyperbolic equation on thin domains. 92g:58077 

Ichikawa, Yoshi H. see Konno, Kimiaki; et al., 924:35238 

Jiménez, Raul F. Nonlinear evolution problems on manifolds without boundary. (Por- 
tuguese summary) 92k:35309 

Kato, Tosio Weak solutions of infinite-dimensional Hamiltonian systems. 92d:35064 

Khor’kova, N. G. @-spectral sequence of evolution equations. (Russian) 92k:58284 

Kitagawa, Keiichiro Sur des conditions nécessaires pour les équations en évolution pour 
que le probléme de Cauchy soit bien posé dans les classes de fonctions C®. I. [Necessary 
conditions for the well-posedness of the Cauchy problem in classes of C®-functions for 
evolution equations. I] 92d4:35127 

Konno, Kimiaki (with Mituhashi, Mituo; Ichikawa, Yoshi H.) Soliton on thin vortex 
filament. 92d:35238 

Kravwvaritis, Dimitrios Random semilinear evolution equations in Banach spaces. 92b:47110 

Matos, Marivaldo Pereira Mathematical analysis of the nonlinear model for the vibrations 
of astring. 92k:35191 

Mituhashi, Mituo see Konno, Kimiaki; et al., 92d:35238 

Noutchegueme, Norbert see Choquet-Bruhat, Yvonne, 92b:58227 

Polaéik, Peter Realization of any finite jet in a scalar semilinear parabolic equation on the 
ball in R?. 92g:35107 

Qian, Min (with Xu, Ping) Coherent states, inverse mapping formula for Weyl transforma- 
tions and application to equations of KdV type. 92b:58104 

Raugel, Genevieve see Hale, Jack K., 92g:58076 and 92g:58077 

Scarpellini, Bruno Center manifolds of infinite dimensions. I. Main results and applications. 
92i:58170 

— Center manifolds of infinite dimensions. II. Proofs of the main results. 92i:58171 

Sniatycki, Jedrzej Regularity of constraints in the Minkowski space Yang-Mills theory. 
92i:58190 

Torre, C.G. On the linearization stability of the conformally (anti-) self-dual Einstein 
equations. 92e:83004 

Vishik, M.1. see Babin, A. V., 92j:35016 and (92b:58001) 

Wallace, D.1. (with Wolf, Joseph A.) Acuity of observation for invariant evolution 
equations. 92m:93008 

Wang, Zhi Hong Reduction enumeration and the Hamiltonian structure of reduced 
equations. (Chinese. English summary) 92e:35051 

Wolf, Joseph A. see Wallace, D. I., 92m:93008 

Xu, Ping see Qian, Min; et al., 92b:58104 





58D27 Moduli problems for differential geometric structures 


Apanasov, B. N. Kobayashi conformal metric on manifolds, Chern-Simons and n- 
invariants. 92f:58027 

Babadshanjan, Franka (with Habermann, Lutz) A family of metrics on the moduli space of 
BPST-instantons. 92i:58030 

Baulieu, Laurent (with Singer, I. M.) Conformally invariant gauge fixed actions for 2-D 
topological gravity. 92d:58029 

Boyer, Charles P. (with Mann, Benjamin M.; Waggoner, Daniel) On the homology of 
SU(n) instantons. 92a:58021 

Doi, Hideo (with Kobayashi, Katsuhiro) Asymptotic behavior of three Riemannian metrics 
on the moduli space of 1-instantons over a definite 4-manifold. 92f:58028 

Goldman, William M. The symplectic geometry of affine connections on surfaces. 
92a:58022 

Habermann, Lutz see Babadshanjan, Franka, 92i:58030 

Hitchin, Nigel J. The geometry and topology of moduli spaces. 92a:58023 

Killingback, T. P. Two-dimensional topological gravity, topological matter and intersection 
theory on moduli space. 92¢:58037 

Kobayashi, Katsuhiro see Doi, Hideo, 92f:58028 

Kronheimer, Peter B. (with Nakajima, Hiraku) Yang-Mills instantons on ALE gravitational 
instantons. 92e:58038 

Mann, Benjamin M. see Boyer, Charles P.; et al., 92a:58021 

Mateos Guilarte, Juan The supersymmetric sigma model, topological quantum mechanics 
and knot invariants. 92h:58034 





975 1992 


Nakajima, Hiraku Moduli spaces of anti-self-dual connections on ALE gravitational 
instantons. 92a:58024 

— see also Kronheimer, Peter B., 92e:58038 

Singer, I. M. see Baulieu, Laurent, 92d:58029 

Soda, Jiro (with Yamanaka, Yuki) Moduli space of Chern-Simons gravity. 92j:58016 

Torre, C. G. A topological field theory of gravitational instantons. 92f:58029 

Waggoner, Daniel see Boyer, Charles P.; et al., 92a:58021 

Yamanaka, Yuki see Soda, Jiro, 92j:58016 


Items with secondary classifications in 58D27 

Anderson, Michael T. Convergence and rigidity of manifolds under Ricci curvature bounds. 
92¢:53024 

— The L? structure of moduli spaces of Einstein metrics on 4-manifolds. 92m:58017 

Axelrod, Scott (with Della Pietra, Steve; Witten, Edward) Geometric quantization of 
Chern-Simons gauge theory. 92i:58064 

Birmingham, Danny (with Blau, Matthias; Thompson, George) Geometry and quantization 
of topological gauge theories. 92¢:81266 

Blau, Matthias see Birmingham, Danny; et al., 92e:81266 

Chechin, S. V. see Sergeev, A. G., 92¢:81140 

Della Pietra, Steve see Axelrod, Scott; et al., 92i:58064 

Donaldson, S. K. (with Kronheimer, Peter B.) * The geometry of four-manifolds. 
92a:57036 

— Instantons in Yang-Mills theory. 92c:57030 

— Polynomial invariants for smooth four-manifolds. 92a:57035 

Ercolani, Nicholas M. (with Sinha, Amarendra) On the construction of a hyper-K4hler 
metric on the moduli space of monopoles. 92e:53061 

Fujiki, Akira Hyper-Kahler structure on the moduli space of flat bundles. 92m:53044 

Gocho, Toru (with Nakajima, Hiraku) Einstein-Hermitian connections on hyper-K4ahler 
quotients. 92k:53079 

Hitchin, Nigel J. Gauge theory on Riemann surfaces. 92a:32024 

Hu, Hong Liang Topological o models with loop groups as the target manifolds. 92k:58041 

Itoh, Mitsuhiro Poincaré bundle and Chern classes. 92m:32051 

Kaul, Romesh K. (with Rajaraman, R.) A topological field theory associated with mono- 
poles. 92i:81186 

Khimshiashvili, G. N. Homotopies of invertible pseudodifferential operators. (Russian 
summary) 92b:58221 

Killingback, T. P. Two-dimensional topological gravity and intersection theory on the 
moduli space of holomorphic bundles. 92f:32032 

Kronheimer, Peter B. A hyper-Kahlerian structure on coadjoint orbits of a semisimple 
complex group. 92b:53031 

— see also Donaldson, S. K., 92a:57036 

LeBrun, Claude On complete quaternionic-Kahler manifolds. 92i:53042 

Mabuchi, Toshiki Compactification of the moduli space of Einstein-Kahler orbifolds. 
92m:32032 

Nakajima, Hiraku see Gocho, Toru, 92k:53079 

Nakamura, Yoshimasa Moduli spaces of controllable linear dynamical systems and 
nonlinear integrable systems of Toda type. 92¢:58051 

Petrie, Ted (with Randall, John) * Connections, definite forms, and four-manifolds. 
92£:57043 

Rajaraman, R. see Kaul, Romesh K., 92i:81186 

Randall, John see Petrie, Ted, 92f:57043 

Sergeev, A. G. (with Chechin, S. V.) Scattering of slowly moving vortices in the abelian 
(2 + 1)-dimensional Higgs model. (Russian. English summary) 92e:81140 

Sinha, Amarendra see Ercolani, Nicholas M., 92e:53061 

Thompson, George see Birmingham, Danny; et al., 92e:81266 

Todorov, Andrei Nikolov Spinors and moduli of Einstein metrics on Kahler simply 
connected manifolds with a canonical class K = 0. 92¢:32023 

Witten, Edward Quantization of Chern-Simons gauge theory with complex gauge group. 
92£:58072 

— see also Axelrod, Scott; et al., 92i:58064 


58D29 Moduli problems for topological structures 


Abramov, Viktor Anatol’evich On the geometric approach to topological quantum field 
theory. (Russian summary) 92a:58025 

Baulieu, Laurent (with Picco, Marco) SL(n,R) topological field theories. 92f:58030 

Hu, Hong Liang Topological ¢ models with loop groups as the target manifolds. 92k:58041 

Kamiyama, Yasuhiko The modulo 2 homology groups of the space of rational functions. 
92i:58031 

Picco, Marco see Baulieu, Laurent, 92f:58030 

Witten, Edward Introduction to cohomological field theories. 92h:58035 


Items with secondary classifications in 58D29 

Apanasov, B. N. Kobayashi conformal metric on manifolds, Chern-Simons and 7- 
invariants. 92f:58027 

Blau, Matthias (with Thompson, George) Do metric independent classical actions lead to 
topological field theories? 92b:81207 

Cho, Yong Seung Finite group actions on self-dual 4-manifolds with positive scalar 
curvature. 92¢:57035 

Dayi, Omer F. A topological quantum theory interpretation of integrable models. 
92m:58056 

Gal'perin, A. S. (with Ogievetskii, O. V.) Holonomy groups, complex structures and D = 4 
topological Yang-Mills theory. 92i:81321 

Ogievetskii,O. V. see Galperin, A. S., 92i:81321 

Thompson, George see Blau, Matthias, 92b:81207 

Yoshii, Hisahiro On the moduli space of c = 0 topological conformal field theories. 
92k:81198 


58D Spaces and manifolds of mappings 


58D30 


58D30 Applications (in quantum mechanics (Feynman path 
integrals), relativity, fluid dynamics, etc.) 

Andersson, Lars Ake Momenta and reduction for general relativity. II. The level sets. 
92g:58017 

Baranov, Yu. S. Semigroups of diffeomorphisms and a case of the motion of a viscous fluid. 
(Russian) 92k:58042 

Blau, Steven K. The Feynman path integral for constrained systems. 92£:58031 

Farhi, Edward (with Gutmann, Sam) The functional integral on the half-line. 92d:58030 

Fujiwara, Daisuke The Feynman path integral as an improper integral over the Sobolev 
space. 92c¢:58013 

Gozzi, E. (with Reuter, M.) Path-integral approach to classical mechanics. 92j:58017 

Grosche, Christian The path integral on the Poincaré disc, the Poincaré upper half-plane 
and on the hyperbolic strip. 92e:58039 

Gutmann, Sam see Farhi, Edward, 924:58030 

Niemi, Antti J. (with Pasanen, Pirjo) Orbit geometry, group representations and topologi- 
cal quantum field theories. 92h:58036 

Pasanen, Pirjo see Niemi, Antti J., 92h:58036 

Penna, Vittorio (with Rasetti, Mario G.; Spera, Mauro) Chen’s iterated path integrals, 
quantum vortices and link invariants. 92h:58037 

Prokhorov, L. V. (with Shabanov, S. V.) Phase space of mechanical systems with a gauge 
group. (Russian) 92h:58038 

Rasetti, Mario G. see Penna, Vittorio; et al., 92h:58037 

Reuter, M. see Gozzi, E., 92j:58017 

Rogers, Alice Path integration on supermanifolds. 92j:58018 

Shabanov, S. V. see Prokhorov, L. V., 92h:58038 

Secolovsky, M. Reparametrization of paths in manifolds. 92f:58032 

Spera, Mauro see Penna, Vittorio; et al., 92h:58037 

Zeitlin, V. Yu. Algebraization of 2-D ideal fluid hydrodynamical systems and their finite- 
mode approximations. (see 92f:76003) 


Items with secondary classifications in 58D30 


Abrikosov, A. A., Jr. “Matsubara” approach in classical statistical physics: the method and a 
simple example. (Russian) 92j:82038 

Alcalde, Carlos (with Cadavid, Ana Cristina; Nakashima, Martin M.) The star exponential 
and SU(2) path integrals. 92m:81128 

Atiyah, Michael Francis (with Jeffrey, L.) Topological Lagr 
92:58025 

Bitar, Khalil M. (with Khuri, N. N.; Ren, H.C.) Path integrals as discrete sums. 924:81073 

de Bivar-Weinholtz, Anténio Sequential formulations of the Feynman integral. (Portuguese. 
English summary) (see 92b:00044) 

Blau, Matthias Chern-Simons quantum mechanics, supersymmetry, and symplectic 
invariants. 92j:22037 

Bratchikov, A. V. Path integral fermionization of two-dimensional o-models related to the 
homogeneous ones. 92h:81076 

Brydges, David C. (with Muiioz Maya, Ismael) An application of Berezin integration to 
large deviations. 92h:60111 

Cadavid, Ana Cristina see Alcalde, Carlos; et al., 92m:81128 

Cenni, R. (with Galleani d’Agliano, E.; Napoli, F.; Saracco, P.; Sassetti, Mauro) * Feynman 
integrals in theoretical, nuclear and statistical physics. 92e:81119 

Chang, Joo Sup (with Johnson, Gerald W.) The Feynman integral and Feynman’s 
operational calculus: the 7(L,(R),Co(R)) theory. 92d:46116 

Chung, Dong Myung (with Park, Chull; Skoug, David) Operator-valued Feynman integrals 
via conditional Feynman integrals. 92c:46052 

Cognola, Guido (with Vanzo, Luciano; Zerbini, Sergio) Some remarks about path integral 
approach to anomalies in quantum field theory. (see 92c:58025) 

Dell’Antonio, Gianfausto (with Zwanziger, Daniel) All gauge orbits and some Gribov copies 
encompassed by the Gribov horizon. 92k:58058 

Dresse, Alain (with Fisch, Jean M. L.; Grégoire, Philippe; Henneaux, Marc) Equivalence of 
the Hamiltonian and Lagrangian path integrals for gauge theories. 92f:81211 

Ellicott, P. (with Kunstatter, G.; Toms, David J.) Geometrical interpretation of the 
functional measure for supersymmetric gauge theories and of the gauge invariant effective 
action. 92b:81203 

Fine, Dana S. Quantum Yang-Mills on the two-sphere. 92a:58019 

Fisch, Jean M. L. see Dresse, Alain; et al., 92f:81211 

Galleani d’Agliano, E. see Cenni, R.; et al., 92e:81119 

Gamboa, Jorge A topological quantum field theory with fractional statistics. 92a:81208 

Grégoire, Philippe see Dresse, Alain; et al., 92f:81211 

Grosche, Christian The path integral for the Kepler problem on the pseudosphere. 
92:81071 

Gudder, Stanley (with Schindler, Christian) Regular quantum Markov processes. 
92a:81090 

Hall, G.S. Symmetries and geometry in general relativity. 92m:83040 

Hashimoto, Takashi (with Ogura, Kazunori; Okamoto, Kiyosato; Sawae, Ryuichi; 
Yasunaga, Hisatoshi) Kirillov-Kostant theory and Feynman path integrals on coadjoint 
orbits. I. 92f:58070 

Henneaux, Marc see Dresse, Alain; et al., 92f:81211 

Jeffrey, L. see Atiyah, Michael Francis, 92f:58025 

Johnson, Gerald W. * Existence theorems for the analytic operator-valued Feynman 
integral. 92g:46052 

— see also Chang, Joo Sup, 92d:46116 

Kafkalidis, Menelaos S. A geometric approach to the path integral formalism of p-branes. 
92¢:81077 

Keski-Vakkuri, E. (with Niemi, Antti J.; Semenoff, Gordon W.; Tirkkonen, O.) Topological 
quantum theories and integrable models. 92k:58046 

Khrennikov, A. Yu. Formulas for integration by parts for Feynman and Gaussian distribu- 
tions on superspace. (Russian) 92a:58017 

— Generalized functions and Gaussian path integrals over non-Archimedean function 
spaces. (Russian) 92j:46139 

Khuri, N. N. see Bitar, Khalil M.; et al., 92d:81073 





gians and cohomology. 





58D30 


Kiefer, Claus On the meaning of path integrals in quantum cosmology. 92b:83052 

Kunstatter, G. see Ellicott, P.; et al., 92b:81203 

Kupsch, J. Functional integration for Euclidean Fermi fields. (see 92i:81006) 

Lobanov, Yu. Yu. see Zhidkov, E. P.; et al., 92f:81013 

Lukatskii, A.M. Negativity of curvatures of the group of diffeomorphisms for locally 
Euclidean manifolds. (Russian) 92b:58018 

Matsutani, Shigeki Path integral formulation of curved low-dimensional space. 92m:81138 

Muiioz Maya, Ismael see Brydges, David C., 92h:60111 

Nakashima, Martin M. see Alcalde, Carlos; et al., 92m:81128 

Napoli, F. see Cenni, R.; et al., 92e:81119 

Niemi, Antti J. see Keski-Vakkuri, E.; et al., 92k:58046 

Ogura, Kazunori see Hashimoto, Takashi; et al., 92£:58070 

Okamoto, Kiyosato see Hashimoto, Takashi; et al., 92f:58070 

Papadopoulos, N. A. The role of stratification in anomalies. 92m:58154 

Park, Chull see Chung, Dong Myung; et al., 92c:46052 

Peleg, Yoav Change of dimensions in canonical pure gravity via nonunitarity. 92h:83039 

Petersen, Jens Lyng On the explicit construction of the superstring loop measure in the 
super-Schottky-Reggeon formalism. 92c:81147 

Popov, V. N. * Functional integrals and collective excitations. 92a:82002 

Ren, H.C. see Bitar, Khalil M.; et al., 92d:81073 

Saracco, P. see Cenni, R.; et al., 92e:81119 

Sassetti, Mauro see Cenni, R.; et al., 92e:81119 

Sawae, Ryuichi see Hashimoto, Takashi; et al., 92f:58070 

Schindler, Christian see Gudder, Stanley, 92a:81090 

Semenoff, Gordon W. see Keski-Vakkuri, E.; et al., 92k:58046 

Shabanov, S. V. Quantization of constrained systems and path integrals in curvilinear 
supercoordinates. 924:81074 

Shakhbagyan, R. R. see Zhidkov, E. P.; et al., 92f:81013 

Sil'vestrov, P.G. How to avoid the asymptotic expansion. 92h:81080 

Skoug, David see Chung, Dong Myung; et al., 92c:46052 

Stovitek, Pavel Krein’s formula approach to the multisolenoid Aharonov-Bohm effect. 
92j:81135 

Tirkkonen, O. see Keski-Vakkuri, E.; et al., 92k:58046 

Toms, David J. see Ellicott, P.; et al., 92b:81203 

Vanzo, Luciano see Cognola, Guido; et al., (92c:58025) 

Wiesbrock, Hans-Werner The C*-algebra of bosonic strings. 92i:46083 

Yasunaga, Hisatoshi see Hashimoto, Takashi; et al., 92f:58070 

Zerbini, Sergio see Cognola, Guido; et al., (92c:58025) 

Zhidkov, E. P. (with Lobanov, Yu. Yu.; Shakhbagyan, R. R.) Approximate calculation 
of multiple path integrals in multidimensional problems of quantum physics. (Russian. 
English summary) 92f:81013 

Zwanziger, Daniel see Dell’Antonio, Gianfausto, 92k:58058 


58D99 None of the above, but in this section 


Items with secondary classifications in 58D99 

Kudryavtsev, S. N. Approximations of compact sets of functions by piecewise-polynomial 
surfaces in spaces of smooth functions. (Russian) 92m:41033 

Nakamura, Yoshimasa Geometry of rational functions and nonlinear integrable systems. 
92k:58121 

Payne, Kevin R. Smooth tame Fréchet algebras and Lie groups of pseudodifferential 
operators. 92a:58140 


58Exx Variational problems in infinite-dimensional 
spaces 


58E05 Abstract critical point theory (Morse theory, Ljusternik- 
Schnirelman (Lyusternik-Shnirel/man) theory, etc.) 


Belov, V. Ya. On the Morse formula. 92g:58018 

Benci, Vieri A new approach to the Morse-Conley theory and some applications. 92k:58043 

Brézis, Haim (with Nirenberg, Louis) Remarks on finding critical points. 92i:58032 

Canino, Annamaria Periodic solutions of Lagrangian systems on manifolds with boundary. 
92a:58026 

Clapp, Ménica (with Puppe, Dieter) Critical point theory with symmetries. 92d:58031 

Costa, David G. (with Silva, Elves Alves de B. e) The Palais-Smale condition versus 
coercivity. 92i:58033 

Coti Zelati, Vittorio (with Ekeland, Ivar; Lions, Pierre-Louis) Index estimates and critical 
points of functionals not satisfying Palais-Smale. 92a:58027 

Douraid, Daly Solutions périodiques dans un puits de potentiel. (English summary) 
[Periodic solutions in a potential well] 92d:58032 

Du, Yi Hong A lemma on deformations and its applications. (Chinese) 

— A deformation lemma and some critical point theorems. 92b:58034 

— A deformation lemma and its applications. 92m:58018 

Ekeland, Ivar see Coti Zelati, Vittorio; et al., 92a:58027 

Fadell, E. (with Husseini, S.) Category of loop spaces of open subsets in Euclidean space. 
92k:58044 

Fomenko, A. T. (with Sharko, V. V.) Exact round Morse functions, inequalities of Morse 
type and integrals of Hamiltonian systems [in Global analysis and nonlinear equations 
(Russian), 92-107, Voronezh. Gos. Univ., Voronezh, 1988; MR 91c:58018]. (see 
92b:58001) 

Fournier, Gilles (with Willem, M.) The mountain circle theorem. 92k:58045 

Ghoussoub, N. Location, multiplicity and Morse indices of min-max critical points. 
92e:58040 

Guo, Xin Kang see Shen, Yao Tian; et al., 92b:58036 

Huang, Garng M. see Luxemburg, L. A., 92j:58020 

Hasseini, S. see Fadell, E., 92k:58044 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 976 


Keski-Vakkuri, E. (with Niemi, Antti J.; Semenoff, Gordon W.; Tirkkonen, O.) Topological 
quantum theories and integrable models. 92k:58046 

Koditschek, Daniel E. (with Rimon, Elon) Robot navigation functions on manifolds with 
boundary. 92b:58035 

Krawcewicz, W. (with Marzantowicz, Waclaw) Some remarks on the Lusternik- 
Schnirel/man method for nondifferentiable functionals invariant with respect to a finite 
group action. 92f:58033 

Lehtonen, A. On the construction of Ljusternik-Schnirel/mann critical values in Banach 
spaces. 92i:58034 

Li, Shu Jie Multiple critical points of periodic functional and some applications. 
92k:58047 

Lions, Pierre-Louis see Coti Zelati, Vittorio; et al., 92a:58027 

Liu, Jia Quan The Morse index of a saddle point. 92¢e:58041 

Long, Yi Ming (with Zehnder, Eduard) Morse-theory for forced oscillations of asymptoti- 
cally linear Hamiltonian systems. 92j:58019 

Luxemburg, L. A. (with Huang, Garng M.) Generalized Morse theory and its applications 
to control and stability analysis. 92j:58020 

Marzantowicz, Waclaw see Krawcewicz, W., 92f:58033 

Niemi, Antti J. see Keski-Vakkuri, E.; et al., 92k:58046 

Nirenberg, Louis see Brézis, Haim, 92i:58032 

Puppe, Dieter see Clapp, Monica, 92d:58031 

Rabinowitz, Paul H. A variational approach to heteroclinic orbits for a class of Hamiltonian 
systems. 92f:58034 

Rimon, Elon see Koditschek, Daniel E., 92b:58035 

Salamon, Dietmar Morse theory, the Conley index and Floer homology. 92a:58028 

Schechter, Martin The mountain pass alternative. 92d:58033 

— The mountain cliff theorem. 92h:58039 

— A bounded mountain pass lemma without the (PS) condition and applications. 
92h:58040 

Semenoff, Gordon W. see Keski-Vakkuri, E.; et al., 92k:58046 

Shafrir, Itai A deformation lemma. (French summary) 92i:58035 

Sharko, V. V. see Fomenko, A. T., (92b:58001) 

Shen, Yao Tian (with Guo, Xin Kang) The nontrivial critical points of the functional 
Jog F(x, u, Du) dx. (Chinese) 92b:58036 

Silva, Elves Alves de B.e see Costa, David G., 92i:58033 

Taimanov, I. A. Non-self-intersecting closed extremals of multivalued or not-everywhere- 
positive functionals. (Russian) 92i:58036 

Tirkkonen, O. see Keski-Vakkuri, E.; et al., 92k:58046 

Vakhrameev, S. A. The Lyusternik-Shnirel‘man theory for transversally convex subsets of 
Hilbert manifolds and its application in optimal control theory. (Russian) 92k:58048 

Willem, M. see Fournier, Gilles, 92k:58045 

Wysocki, K. Multiple critical points for variational problems on partially ordered Hilbert 
spaces. (French summary) 92c:58014 

Yang, Xue Feng The min-max theorem and saddle points. (Chinese) 92b:58037 

— The Morse critical groups of the minmax theorem. (Chinese summary) 92f:58035 

Zehnder, Eduard see Long, Yi Ming, 92j:58019 


Items with secondary classifications in 58E05 

Agrachév, A. A. (with Gamkrelidze, R. V.) Quasi-extremality for controllable systems. 
(Russian) 92b:49034 

— (with Vakhrameev, S. A.) Morse theory and optimal control problems. 92k:58069 

Alaniya, L. A. Topological structure of level surfaces of Morse 1-forms. (Russian) 
92g:57043 

Asvad, Kh. Linear independence of Morse functions on manifolds. (Russian. Ukrainian 
summary) 92e:57046 

Audin, Michele Quelques remarques sur les surfaces lagrangiennes de Givental’. (English 
summary) [Some remarks on the Givental’ Lagrangian surfaces] 92i:57022 

Bahri, Abbas (with Li, Yan Yan) Ona min-max procedure for the existence of a positive 
solution for certain scalar field equations in R”. 92b:35054 

— (with Rabinowitz, Paul H.) Periodic solutions of Hamiltonian systems of 3-body type. 
92k:58223 

Bartsch, Thomas (with Clapp, Monica) Bifurcation theory for symmetric potential 
operators and the equivariant cup-length. 92g:58020 

Baryshnikov, Yu. M. Indices for extremal embeddings of 1-complexes. 92c:58022 

Beirao da Veiga, H. Periodic solutions for a class of autonomous Hamiltonian systems. 
92¢:58112 

Bobylév, N. A. (with Burman, Yu. M.) Morse lemmas for integral functionals. (Russian) 
92h:58047 

Brousseau, V. Espaces de Krein et index des systémes hamiltoniens. (English summary) 
[Krein spaces and the index of Hamiltonian systems] 92¢:58067 

Burman, Yu. M. see Bobylév, N. A., 92h:58047 

Chu, Ch’uanI On the Kuiper-Kuo theorem. 92e:58025 

Clapp, Ménica see Bartsch, Thomas, 92g:58020 

Costa, David G. Morse index and exact number of solutions for ODEs with jumping 
nonlinearities. 92m:34054 

de Figueiredo, Djairo G. (with Massabd, Ivar) Semilinear elliptic equations with the 
primitive of the nonlinearity interacting with the first eigenvalue. 92d:35099 

— (with Ruf, Bernhard) On a superlinear Sturm-Liouville equation and a related bouncing 
problem. 92j:34037 

Furutani, Kenré see Otsuki, Nobukazu, 92):58037 

Gamkrelidze, R. V. see Agrachév, A. A., 92b:49034 

Girardi, Mario (with Matzeu, Michele) Convergence results for periodic solutions of 
nonautonomous Hamiltonian systems. (Italian summary) 92d:58169 

— (with Matzeu, Michele) Dual Morse index estimates for periodic solutions of Hamilton- 
ian systems in some nonconvex superquadratic cases. 92k:58224 

Heinz, Hans-Peter Lacunary bifurcation of multiple solutions of nonlinear eigenvalue 
problems. 92e:47115 


— Bifurcation from the essential spectrum for nonlinear perturbations of Hill’s equation. 
92e:34115 





977 1992 


Isler, K. (with LeTourneux, Jean; Paranjape, M. B.) Morse theory and the skyrmion- 
skyrmion potential. 92i:81173 

Kalish, Diane Homotopy type of path spaces. 92k:58019 

Khatskevich, V. L. Solvability of a periodic problem for a nonlinear Hamiltonian system. 
(Russian) 92m:47127 

Klein, John R. Coordinate free Morse theory. 92¢:57029 

Kossowski, Marek The asymptotic blow-up of a surface in Euclidean 3-space. 92k:53008 

Kuzin, I. A. A variational method for determining the critical points of a functional and its 
application. (Russian) 92f:49002 

LeTourneux, Jean see Isler, K.; et al., 92i:81173 

Li, Yan Yan see Bahri, Abbas, 92b:35054 

Long, Yi Ming Periodic solutions of perturbed superquadratic Hamiltonian systems. 
92¢:58113 

— Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian 
systems. 92d:58171 

Marinescu, Gheorghe Asymptotic Morse inequalities. (Romanian. English summary) 
92k:32055 

Martinez-Amores, Pedro Generic properties of forced conservative systems with periodic 
potential. (Spanish) 92f:58147 

Massabo, Ivar see de Figueiredo, Djairo G., 924:35099 

Mateos Guilarte, Juan The supersymmetric sigma model, topological quantum mechanics 
and knot invariants. 92h:58034 

Matzeu, Michele see Girardi, Mario, 92d:58169 and 92k:58224 

Mirenghi, Elvira (with Tucci, Maria) Existence of T-periodic solutions for a class of 
Lagrangian systems. 92b:58196 

Mizoguchi, Noriko Nontrivial solutions of semilinear elliptic equations with continuous or 
discontinuous nonlinearities. 92m:35093 

Moore, John Douglas Morse theory of minimal two-spheres and curvature of Riemannian 
manifolds. 92d:53056 

Mrozek, Marian The Conley index on compact ANRs is of finite type. 92b:54084 

— (with Rybakowski, Krzysztof P.) Nontrivial full bounded solutions of time-periodic 
semilinear parabolic PDEs. 92i:34084 

Otsuki, Nobukazu (with Furutani, Kenr6) Spectral flow and Maslov index arising from 
Lagrangian intersections. 92j:58037 

Paranjape, M. B. see Isler, K.; et al., 92i:81173 

Pokhozhaev, S.1. The fibration method for solving nonlinear boundary value problems. 
(Russian) 92m:47129 

Rabinowitz, Paul H. (with Tanaka, Kazunaga) Some results on connecting orbits for a class 
of Hamiltonian systems. 92e:58075 

— see also Bahri, Abbas, 92k:58223 

Ruf, Bernhard see de Figueiredo, Djairo G., 92j:34037 

Rybakowski, Krzysztof P. see Mrozek, Marian, 92i:34084 

Schuricht, Friedemann Minimax principle for eigenvalue variational inequalities in the 
nonsmooth case. 92i:58052 

Shibata, Tetsutaro The relationship between the variational eigenvalues and its critical 
values for semilinear Sturm-Liouville problems. (Italian summary) 92i:34031 

Silva, Elves Alves de B.e Linking theorems and applications to semilinear elliptic problems 
at resonance. 924:35108 

Skubachevskii, A. L. On the stability of index of nonlocal elliptic problems. 92m:58128 

Solimini, Sergio (with Terracini, Susanna) A multiplicity result for periodic solutions of 
autonomous conservative systems. 92f:58149 

Struwe, Michael * Variational methods. 92b:49002 

Tanaka, Kazunaga see Rabinowitz, Paul H., 92e:58075 

. Terracini, Susanna see Solimini, Sergio, 92f:58149 

Tucci, Maria see Mirenghi, Elvira, 92b:58196 

Vakhrameev, S. A. see Agrachév, A. A., 92k:58069 

Wang, Zhi Qiang A Z, index theory. 92a:58040 

— On a superlinear elliptic equation. (French summary) 92a:35064 


58E07 Abstract bifurcation theory 


Bartsch, Thomas The Conley index over a space. 92m:58019 

Bazley, N. W. (with Nguyén Xuan Tan) On the primary and secondary bifurcation of 
equations involving scalar nonlinearities. 92¢:58015 

Borisovich, A. Yu. Lyapunov-Schmidt method and types of singularities of critical points 
of key function in the problem of bifurcations of minimal surfaces. II [in Topological 
and geometric methods of analysis (Russian), 138-141, Voronezh. Gos. Univ., Voronezh, 
1989; MR 91e:58035]. (see 92b:58001) 

Chillingworth, D. R. J. Bifurcation from a manifold. 92k:58049 

Fitzpatrick, P. M. (with Pesjsachowicz, Jacobo) Nonorientability of the index bundle and 
several-parameter bifurcation. 92g:58019 

Gaeta, Giuseppe Bifurcation theory and nonlinear symmetries. 92h:58041 

Kipper, Tassilo Verzweigung aus dem wesentlichen Spektrum. [Bifurcation from the 
essential spectrum] 92¢e:58042 

(Lépez-Gomez, Julidn) see Xie, Bi Hua, 92h:58042 

Lupo, D. (with Micheletti, A.M.) An application to bifurcation problems of cusps in 
Banach spaces. 92i:58037 

Micheletti, A.M. see Lupo, D., 92i:58037 

Nguyén Xuan Tn Bifurcation problems for equations involving Lipschitz continuous 
mappings. 92a:58029 

— see also Bazley, N. W., 92c:58015 

Pesjsachowicz, Jacobo see Fitzpatrick, P. M., 92g:58019 

Przybycin, Jolanta Some applications of bifurcation theory to ordinary differential 
equations of the fourth order. 92e:58043 

Schmitt, Klaus (with Wang, Zhi Qiang) On bifurcation from infinity for potential 
operators. 92i:58038 

Wang, Zhi Qiang see Schmitt, Klaus, 92i:58038 


Xie, Bi Hua A note on: “Multiparameter local bifurcation based on the linear part” [J. Math. 


Anal. Appl. 138 (1989), no. 2, 358-370; MR 90b:58038] by J. Lépez~Gomez. (Chinese. 
English summary) 92h:58042 


58E Variational problems in infinite-dimensional spaces 


58E09 


Zvyagin, V.G. The oriented degree of a class of perturbations of Fredholm mappings and 
the bifurcation of the solutions of a nonlinear boundary value problem with noncompact 
perturbations. (Russian) 92m:58020 





Items with secondary classifications in 58E07 

Aliev, Z.S. see Makhmudoyv, A. P., 92d:47079 

Appell, Jiirgen (with Krasnosel’skii, A. M.) New theorems on asymptotic bifurcation 
points. 92m:47122 

Aston, P. J. Analysis and computation of symmetry-breaking bifurcation and scaling laws 
using group-theoretic methods. 92e:58045 

Berger, Melvyn S. * Mathematical structures of nonlinear science. 92d:58050 

Béhmer, Klaus (with Mei, Zhen) On a numerical Lyapunov-Schmidt method. 92a:65189 

Bolley, Catherine Familles de branches de bifurcations dans les équations de Ginzburg- 
Landau. (English summary) [Families of branches of bifurcations in Ginzburg-Landau 
equations] 92c¢:58152 

Cao, Dao Min Bifurcation for quasilinear elliptic systems on R” with natural growth 
conditions. 92m:35027 

Cherrier, Pascal (with Milani, Albert) Equations du type de von Karman sur les variétés 
kahlériennes. (English summary) [Equations of von Karman type on Kahler manifolds] 
92b:58240 

Dancer, E. N. (with Toland, J. F.) Equilibrium states in the degree theory of periodic orbits 
with a first integral. 92m:58111 

Elenin, G. G. (with Troshchiev, Yu. V.) Reduction of systems of nonlinear equations with 
symmetry. (Russian. English summary) 92j:65076 

Heinz, Hans-Peter Lacunary bifurcation of multiple solutions of nonlinear eigenvalue 
problems. 92e:47115 

— Lacunary bifurcation for operator equations and nonlinear boundary value problems on 
R”. 92):47121 

Janovsky, Viadimir (with Plechaé, Petr) Computer-aided analysis of imperfect bifurcation 
diagrams. I. Simple bifurcation point and isola formation centre. 92m:65076 

Kanda, Makoto see Shintani, Hisayoshi, 922:65199 

Krasnosel'skii, A. M. see Appell, Jiirgen, 92m:47122 

Liu, Bo Iterative solutions to simple bifurcation. (Chinese. English summary) 92m:47135 

Loginov, B. V. (with Sidorov, N. A.) Group symmetry of the Lyapunov-Schmidt branching 
equation, and iterative methods in the bifurcation point problem. (Russian) 92i:47077 

— (with Rusak, Yu. B.) Generalized Jordan structure in the problem of the stability of 
bifurcating solutions. 92j:34122 

Makhmudov, A. P. (with Aliev, Z. S.) Nondifferentiable perturbations of spectral problems 
for a pair of selfadjoint operators and global bifurcation. (Russian) 92d:47079 

Mawhin, Jean L. (with Schmitt, Klaus) Nonlinear eigenvalue problems with the parameter 
near resonance. 924:34046 

Mei, Zhen Bifurcations of a simplified buckling problem and the effect of discretizations. 
92i:47078 

— see also Béhmer, Klaus, 92a:65189 

Milani, Albert see Cherrier, Pascal, 92b:58240 

Nashed, M. Zuhair (with Nguyen Xuan Tan) Nontrivial solutions of nonlinear equations 
from simple eigenvalues and their stability. 92m:34142 

Nguyén Xuan Tan An iteration method for bifurcation problem involving Fredholm 
mappings. 92i:47079 

— see also Nashed, M. Zuhair, 92m:34142 

Piaivarinta, Lassi (with Runst, Thomas) Multiplicity results for semilinear elliptic boundary 
value problems in Besov and Triebel-Lizorkin spaces. 92j:35070 

Plechaé, Petr see Janovsky, Viadimir, 92m:65076 

Quittner, Pavol An instability criterion for variational inequalities. 92b:58059 

Ratiner, N. M. see Zvyagin, V. G., 92g:47091 

Ruf, Bernhard Singularity theory and the bifurcation structure of a nonlinear elliptic 
equation. 92f:58194 

Runst, Thomas see Piivarinta, Lassi, 92j:35070 

Rusak, Yu. B. see Loginov, B. V., 92j:34122 

Rynne, B. P. Bifurcation from eigenvalues in nonlinear multiparameter problems. 
92d:47080 

Sapronov, Yu. I. Corner singularities and multidimensional folds in nonlinear analysis. 
(Russian. English summary) (see 92f:58004) 

Schaaf, Renate (with Schmitt, Klaus) Asymptotics for solution branches of semilinear 
elliptic problems at resonance. 92k:35106 

Schmitt, Klaus see Mawhin, Jean L., 92d:34046 and Schaaf, Renate, 92k:35106 

Seydel, Riidiger On detecting stationary bifurcations. 92d:65091 

Shintani, Hisayoshi (with Kanda, Makoto) Extended systems for numerical computation 
of double and triple turning points. 92a:65199 

Sidorov, N. A. see Loginov, B. V., 92i:47077 

Toland, J. F. see Dancer, E. N., 92m:58111 

Troshchiev, Yu. V. see Elenin, G. G., 92j:65076 

Yudovich, V. 1. Cosymmetry, degeneration of solutions of operator equations, and the onset 
of filtration convection. (Russian) 92m:47157 

Yuldashev, N. N. An equation for the branching of periodic solutions of a problem on 
convection in a layer. (Russian. Uzbek summary) 92i:47083 

Zvyagin, V.G. (with Ratiner, N. M.) Oriented degree of Fredholm mappings of nonnega- 
tive index and its application to a problem on the global bifurcation of solutions. (Rus- 
sian) 92g:47091 


58E09 Group-invariant bifurcation theory 


Allgower, Eugene L. (with Bohmer, Klaus; Mei, Zhen) A complete bifurcation scenario 
for the 2-d nonlinear Laplacian with Neumann boundary conditions on the unit square. 
92e:58044 

Aston, P. J. Scaling laws and bifurcation. 92k:58050 

— Analysis and computation of symmetry-breaking bifurcation and scaling laws using group- 
theoretic methods. 92e:58045 

Bartsch, Thomas (with Clapp, Monica) Bifurcation theory for symmetric potential 
operators and the equivariant cup-length. 92g:58020 





58E09 


Bohmer, Klaus see Allgower, Eugene L.; et al., 92¢:58044 

Chillingworth, D. R. J. The Signorini perturbation scheme in an abstract setting. 92k:58051 

Chossat, Pascal (with Lauterbach, Reiner; Melbourne, Ian) Steady-state bifurcation with 
O(3)-symmetry. 924:58034 

Clapp, Ménica see Bartsch, Thomas, 92g:58020 

Crawford, John David (with Golubitsky, Martin; Gomes, M. G. M.; Knobloch, Edgar; 
Stewart, Ian N.) Boundary conditions as symmetry constraints. 92i:58039 

Field, Mike (with Golubitsky, Martin; Stewart, lan N.) Bifurcations on hemispheres. 
92£:58036 

Golubitsky, Martin see Field, Mike; et al., 92f:58036 and Crawford, John David; et al., 
92i:58039 

Gomes, M. G. M. see Crawford, John David; et al., 92i:58039 

Knobloch, Edgar see Crawford, John David; et al., 92i:58039 

Lauterbach, Reiner see Chossat, Pascal; et al., 92d:58034 

Mei, Zhen Solution branches at corank-2 bifurcation points with symmetry. 92i:58040 

— see also Aligower, Eugene L.; et al., 92e:58044 

Melbourne, Ian see Chossat, Pascal; et al., 92d:58034 

Nagata, Wayne A perturbed Hopf bifurcation with reflection symmetry. 92d:58035 

Smoller, Joel A. (with Wasserman, Arthur G.) Reduced equivariant Conley index and 
applications. 92b:58038 

Stewart, Ian N. see Field, Mike; et al., 92f:58036 and Crawford, John David; et al., 92i:58039 

Wasserman, Arthur G. see Smoller, Joel A., 92b:58038 


Items with secondary classifications in 58E09 


Cliffe, K. A. see Jepson, Allan D.; et al., 92¢:65079 

Danescu, A. Bifurcation in the traction problem for a transversely isotropic material. 
92¢:73063 

Delinitz, M. A computational method and path following for periodic solutions with 
symmetry. 924:65131 

Fetkan, Michal A symmetry theorem for variational problems. 92d:47082 

Goryunov, V. V. Bifurcations with symmetries. (Russian) 92m:58012 

Healey, Timothy J. (with Kielhéfer, Hansjérg) Symmetry and nodal properties in the global 
bifurcation analysis of quasi-linear elliptic equations. 92d:35042 

Jepson, Allan D. (with Spence, A.; Cliffe, K. A.) The numerical solution of nonlinear 
equations having several parameters. III. Equations with Z)-symmetry. 92¢:65079 

Kielhofer, Hansjérg see Healey, Timothy J., 92d:35042 

Pospiech, Christoph A Dirichlet problem exhibiting global bifurcation with symmetry 
breaking. 92b:58241 

Smoller, Joel A. (with Wasserman, Arthur G.) Symmetry-breaking bifurcations. 92k:58272 

Spence, A. see Jepson, Allan D.; et al., 92e:65079 

Wasserman, Arthur G. see Smoller, Joel A., 92k:58272 


58E10 Applications to the theory of geodesics (problems in one 
independent variable) 


Angenent, Sigurd Parabolic equations for curves on surfaces. II. Intersections, blow-up and 
generalized solutions. 92b:58039 

— On the formation of singularities in the curve shortening flow. 92¢:58016 

Benci, Vieri (with Giannoni, Fabio) Closed geodesics on noncompact Riemannian 
manifolds. (French summary) 924:58036 

Bessi, Ugo Multiple closed orbits for singular conservative systems via geodesic theory. 
92k:58052 

De Cecco, Giuseppe (with Palmieri, Giuliana) Length of curves on Lip manifolds. (Italian 
summary) 92h:58043 

Gage, Michael E. Deforming curves on convex surfaces to simple closed geodesics. 
92g:58021 

Ge, Zhong On a constrained variational problem and the spaces of horizontal paths. 
92j:58021 

Giannoni, Fabio (with Masiello, Antonio) On the existence of geodesics on stationary 
Lorentz manifolds with convex boundary. 92k:58053 

— Geodesics on nonstatic Lorentz manifolds of Reissner-Nordstrém type. 92k:58054 

— see also Benci, Vieri, 924:58036 

Granichina, O. A. see Vershik, A. M., 92m:58021 

Grove, Karsten (with Halperin, Stephen) Elliptic isometries, condition (C) and proper 
maps. 92b:58040 

Halperin, Stephen see Grove, Karsten, 92b:58040 

Jost, Jiirgen Correction to: “A nonparametric proof of the theorem of Lusternik and 
Schnirelman” [Arch. Math. (Basel) 53 (1989), no. 5, 497-509; MR 90k:53083]. 
92b:58041 

Leiko, S.G. Variational problems for rotation functionals, and spin-mappings of pseudo- 
Riemannian spaces. (Russian) 92d:58037 

Linnér, Anders Curve-straightening in closed Euclidean submanifolds. 92f:58037 

Masiello, Antonio see Giannoni, Fabio, 92k:58053 

McCleary, John (with Ziller, Wolfgang) Corrections to: “On the free loop space of 
homogeneous spaces” [Amer. J. Math. 109 (1987), no. 4, 765-781; MR 88k:58023]. 
92e:58046 

O’Hara, Jun Energy of a knot. 92c:58017 

Palmieri, Giuliana see De Cecco, Giuseppe, 92h:58043 

Rademacher, Hans-Bert On the number of closed geodesics on the 2-torus. 92b:58042 

Vershik, A.M. (with Granichina, O. A.) Reduction of nonholonomic variational problems 
to isoperimetric problems and connections in principal bundles. (Russian) 92m:58021 

Yakovlev, E. 1. A two-end problem for a certain class of multivalued functionals. (Russian) 
92b:58043 

Ziller, Wolfgang see McCleary, John, 92e:58046 


Items with secondary classifications in 58E10 

Eells, James Geometric applications of evolution. (see 92m:35004) 

Fadell, E. (with Husseini, S.) Category of loop spaces of open subsets in Euclidean space. 
92k:58044 

Husseini, S. see Fadell, E., 92k:58044 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Kalish, Diane Homotopy type of path spaces. 92k:58019 

Kurogi, Tetsunori Note on isometry invariant geodesic on two-dimensional spherical 
manifold. 92b:53061 

Ma, Li Applications harmoniques équivariantes 4 valeurs dans une variété lorentzienne. 
(English summary) [On equivariant harmonic maps into a Lorentz manifold] 92a:58036 

Otsuki, Tominosuke A Cauchy type theorem on ordinary differential equations and its 
applications. 92m:53074 

Pisani, L. Existence of geodesics for stationary Lorentz manifolds. (Italian summary) 
92k:53124 

Tanaka, Minoru’ An elementary proof of the existence of uncountably many nonclosed 
isometry-invariant geodesics. 92m:53075 

Zhu, Da Xin A geometric approach to a result of Benci and Giannoni for Hamiltonian 
systems with singular potentials. 92k:58226 


58E11 Critical metrics 


Bahri, Abbas (with Coron, Jean-Michel) The scalar-curvature probl 
three-dimensional sphere. 92k:58055 

Blair, David E. Critical associated metrics on contact manifolds. III. 92d4:58038 

Coron, Jean-Michel see Bahri, Abbas, 92k:58055 

Deng, Shangrong The second variation of the Dirichlet energy on contact manifolds. 
92j:58022 

Escobar, José F. Uniqueness theorems on conformal deformation of metrics, Sobolev 
inequalities, and an eigenvalue estimate. 92f:58038 

Hamenstadt, Ursula Some regularity theorems for Carnot-Carathéodory metrics. 92g:58022 

Itoh, Mitsuhiro Yamabe metrics and the space of conformal structures. 92j:58023 

Vaisman, Izu On some variational problems for 2-dimensional Hermitian metrics. 
92b:58044 

Yang, Deane Existence and regularity of energy-minimizing Riemannian metrics. 
92:58039 


on the 





Items with secondary classifications in 58E11 


Besson, Gérard (with Courtois, Gilles; Gallot, Sylvestre) Volume et entropie minimale 
des espaces localement symétriques. [Volume and minimal entropy of locally symmetric 
spaces] 92d:58027 

Branson, Thomas P. (with Orsted, Bent) Explicit functional determinants in four 
dimensions. 92b:58238 

Courtois, Gilles see Besson, Gérard; et al., 92d:58027 

Gallot, Sylvestre see Besson, Gérard; et al., 92d:58027 

Graham, C. Robin (with Lee, John M.) Einstein metrics with prescribed conformal infinity 
on the ball. 92i:53041 

Lee, John M. see Graham, C. Robin, 92i:53041 

Orsted, Bent see Branson, Thomas P., 92b:58238 

Ruggiero, Rafael Oswaldo On the creation of conjugate points. 92i:58143 

Troyanov, Mare Un principe de concentration-compacité pour les suites de surfaces 
riemanniennes. (English summary) [A concentration-compactness principle for sequences 
of Riemann surfaces] 92m:53077 

Wu, Lang-Fang The Ricci flow on 2-orbifolds with positive curvature. 92d:53037 


58E12 Applications to minimal surfaces (problems in two 
independent variables) 


Baldo, Sisto (with Modica, Luciano) Nonuniqueness of minimal graphs. 92h:58044 

Cheng, Benny N. Nonunique solutions to the Plateau problem on symmetric spaces. 
92d:58039 

Collin, Pascal Deux exemples de graphes de courbure moyenne constante sur une bande de 
R?. (English summary) [Two examples of constant mean curvature surfaces on a strip in 
R?] 92i:58041 

Hildebrandt, Stefan (with Sauvigny, Friedrich) Embeddedness and uniqueness of minimal 
surfaces solving a partially free boundary value problem. 92k:58056 

Ivanov, A.O. Measure forms and new examples of stable and globally minimal surfaces. 
(Russian) 92d:58040 

Jost, Jiirgen * Two-dimensional geometric variational problems. 92h:58045 

Le Hong Van Relative calibrations and the problem of stability of minimal surfaces [in 
Topological and g tric methods of analysis (Russian), 122-136, Voronezh. Gos. Univ., 
Voronezh, 1989; MR 91d:58046]. (see 92b:58001) 

Lin, Fang-Hua Estimates for surfaces which are stationary for an elliptic parametric 
integral. 92e:58047 

Modica, Luciano see Baldo, Sisto, 92h:58044 

Nakauchi, Nobumitsu A remark on free boundary Plateau problem for surfaces of general 
topological type. 92b:58045 

Sakaki, Makoto Upper bounds for the index of minimal surfaces. 92c:58018 

Sauvigny, Friedrich see Hildebrandt, Stefan, 92k:58056 

Schiiffler, K. Minimalflachen auf Mébius-Bandern. (English and Russian summaries) 
[Minimal surfaces on Mébius strips] 92h:58046 

Shibata, Keiichi On the mean curvature of surface with boundary. 92a:58030 

Tabarrok, B. (with Xiong, Y.) Some variational formulations for minimum surfaces. 
92i:58042 

Taylor, Jean E. Crystals, in equilibrium and otherwise. 92c:58019 

— Crystalline geometric crystal growth. (see 92g:00031) 

Tomi, Friedrich An introduction to Plateau’s problem. 92a:58031 

Tuzhilin, Aleksei Avgustinovich Morse-type indices for two-dimensional minimal surfaces 
in R? and H?. (Russian) 92k:58057 

Virga, Epifanio G. Equilibrium shapes of a drop of liquid crystal. (Italian. English 
summary) 92i:58043 

Wang, Wen Tao Stability of hypersurfaces with constant mean curvature. (Chinese) 
92£:58040 

White, Brian Cabell Existence of smooth embedded surfaces of prescribed genus that 
minimize parametric even elliptic functionals on 3-manifolds. 92e:58048 

Xiong, Y. see Tabarrok, B., 92i:58042 








979 1992 


Ye, Rugang How to blow infinitely large soap bubbles with a fixed boundary. (French 
summary) 92b:58046 
— On the existence of area-minimizing surfaces with free boundary. 92g:58023 


Items with secondary classifications in 58E12 

Ambrosio, Luigi (with Virga, Epifanio G.) A boundary value problem for nematic liquid 
crystals with a variable degree of orientation. 92h:35087 

Bethuel, Fabrice Passage a la limite faible dans des équations aux dérivées partielles 
non linéaires. [Passage to the weak limit in nonlinear partial differential equations] 
92k:35096 

Binz, E. (with Socolescu, D.) On a global differential geometric approach to the rational 
mechanics of deformable media. 92f:73003 

Borisovich, A. Yu. Lyapunov-Schmidt method and types of singularities of critical points 
of key function in the problem of bifurcations of minimal surfaces. II [in Topological 
and geometric methods of analysis (Russian), 138-141, Voronezh. Gos. Univ., Voronezh, 
1989; MR 91e:58035]. (see 92b:58001) 

Brakke, Kenneth A. Minimal cones on hypercubes. 92k:49082 

(Carathéodory, Constantin) see Kracht, Manfred W., 92g:49001 

Choe, Jaigyoung The isoperimetric inequality for a minimal surface with radially connected 
boundary. 92g:53006 

Ecker, Klaus (with Huisken, Gerhard) Interior estimates for hypersurfaces moving by mean 
curvature. 92i:53010 

Fomenko, A. T. * The Plateau problem. Part I. 92e:01003 

— * The Plateau problem. Part II. 92e:01004 

Huisken, Gerhard see Ecker, Klaus, 92i:53010 

Kracht, Manfred W. (with Kreyszig, Erwin) On Carathéodory’s theory of discontinuous 
extremals and generalizations. 92g:49001 

Kreyszig, Erwin see Kracht, Manfred W., 92g:49001 

Lin, Fang-Hua An eigenvalue problem on negatively curved manifolds. 92m:58144 

Musso, Emilio Willmore surfaces in the four-sphere. 92g:53059 

Rey, Olivier Heat flow for the equation of surfaces with prescribed mean curvature. 
92k:58263 

Sauvigny, Friedrich On immersions of constant mean curvature: compactness results and 
finiteness theorems for Plateau’s problem. 92e:53014 

Smale, Nathan An equivariant construction of minimal surfaces with nontrivial singular 
sets. 92i:53011 

Socolescu, D. see Binz, E., 92£:73003 

Taylor, Jean E. On the global structure of crystalline surfaces. 92g:53009 

Virga, Epifanio G. see Ambrosio, Luigi, 92h:35087 


58E15 Application to extremal problems in several variables; 
Yang-Mills functionals [see also 81T13], etc. 


Au, Chi see To, F. T.; et al., 92j:58024 

Bobylév, N. A. (with Burman, Yu. M.) Morse lemmas for integral functionals. (Russian) 
92h:58047 

— (with Burman, Yu. M.) Morse lemmas for functionals of the calculus of variations. 
(Russian) 92m:58022 

Bor, Gil (with Montgomery, Richard) SO(3) invariant Yang-Mills fields which are not self- 
dual. 92f:58041 

Brézis, Haim * Mathematical problems of liquid crystals. 92e:58049 

Burman, Yu. M. see Bobylév, N. A., 92h:58047 and 92m:58022 

Choquet-Bruhat, Yvonne Yang-Mills-Higgs fields in three space time dimensions. 92i:58044 

Dell’Antonio, Gianfausto (with Zwanziger, Daniel) All gauge orbits and some Gribov copies 
encompassed by the Gribov horizon. 92k:58058 

Dierkes, Ulrich On singular variational problems. (see 92g:00031) 

Dolbeault, Jean Existence de solutions symétriques pour un modéle de champs de mésons: 
le modéle d’Adkins et Nappi. [Existence of symmetric solutions for a model of meson 
fields: the Adkins-Nappi model] 92a:58032 

Dostoglou, S. On the asymptotics of finite energy solutions of the Yang-Mills-Higgs 
equations. 924:58041 

Floer, Andreas Elliptic methods in variational problems. 92k:58059 

Fung, P.C. W. see To, F. T.; et al., 92j:58024 

Giachetta, Giovanni see Marathe, Kishore B., 92k:58062 

Lambert, Dominique Pseudo-Euclidean Hurwitz pairs, sigma and pure spinor models. 
92k:58060 

Lin, Fang-Hua On nematic liquid crystals with variable degree of orientation. 92g:58024 

Mahajan, Swadesh M. Finite energy classical solutions to Y-M theories. 92k:58061 

Marathe, Kishore B. (with Giachetta, Giovanni) Some properties of covariant operators in 
gauge theories. 92k:58062 

Marini, Antonella Boundary value problems for Yang-Mills connections. (French summary) 
92c:58020 

Montgomery, Richard see Bor, Gil, 92f:58041 

Palmer, Bennett Stability of minimal hypersurfaces. 92m:58023 

Pekonen, Osmo On the variational characterization on conformally flat 3-manifolds. 
92b:58047 

Senn, W. Uber Mosers regularisiertes Variationsproblem fiir minimale Blatterungen des n- 
dimensionalen Torus. (English summary) [On Moser’s regularized variational problem 
for minimal foliations of the n-dimensional torus] 92f:58042 

Shen, Chun Li Monotonicity formula and partial regularity results in Yang-Mills flow. (see 
92m:35004) 

To, F.T. (with Fung, P. C. W.; Au, Chi) Exact soliton solutions to the classical nonabelian 
Yang-Mills gauge field. 92j:58024 

Wang, Ronggang The existence of Chern-Simons vortices. 92f:58043 

Yang, Yisong On the abelian Higgs model with sources. 92f:58044 

— Vacuum decay of nonabelian vortices. 92m:58024 

Zwanziger, Daniel see Dell’Antonio, Gianfausto, 92k:58058 


Items with secondary classifications in 58E15 
Bejancu, Aurel Gauge theory on a vector bundle. I. Global invariance of Lagrangians on a 


58E Variational problems in infinite-dimensional spaces 


58E20 


vector bundle. 924:58049 

Bradlow, Steven B. Vortices in holomorphic line bundles over closed Kahler manifolds. 
92f:32053 

Chen, Cheng Ming The H-transformation and the RH-transform in self-dual Yang-Mills 
fields. (Chinese. English summary) 92k:58104 

Chouikha, Raouf Métriques conformement plates et équations de Yang-Mills. (English 
summary) [Conformally flat metrics and Yang-Mills equations] 92e:58227 

Dao Trong Thi Lagrangian calibrations on Hermitian manifolds. 92c:53039 

DeTurck, Dennis M. (with Goldschmidt, Hubert; Talvacchia, Janet) Connections with 
prescribed curvature and Yang-Mills currents: the semi-simple case. 92a:53034 

Dierkes, Ulrich On the nonexistence of energy stable minimal cones. (French summary) 
92g:49038 

— Maximum principles and nonexistence results for minimal submanifolds. 92b:53005 

Donaldson, S. K. Instantons in Yang-Mills theory. 92c:57030 

Diindarer, A. Regit Multi-instanton solutions in eight-dimensional curved space. 92k:81110 

Duzaar, Frank (with Fuchs, Martin?) Einige Bemerkungen iiber die Regularitat von 
stationaren Punkten gewisser geometrischer Variationsintegrale. (English summary) 
[Some comments on the regularity of stationary points of certain geometric variational 
integrals] 92d:49086 

Floer, Andreas Self-dual conformal structures on /CP?. 92¢:53049 

Fuchs, Martin? see Duzaar, Frank, 92d:49086 

Fujiwara, Daisuke (with Takakuwa, Shéichiré) Correction to: “A varifold solution to the 
nonlinear wave equation of motion of a vibrating membrane” [Kodai Math. J. 9 (1986), 
no. 1, 84-116; MR 87f:35139]. 92h:35118 

Galperin, A. S. (with Ogievetskii,O. V.) Holonomy groups, complex structures and D = 4 
topological Yang-Mills theory. 92i:81321 

Goldschmidt, Hubert see DeTurck, Dennis M.; et al., 92a:53034 

Gromov, Mikhael L. Foliated Plateau problem. I. Minimal varieties. 92b:53064 

Itoh, Mitsuhiro (with Nakajima, Hiraku) Yang-Mills connections and Einstein-Hermitian 
metrics. 92m:53045 

Ivanov, A.O. Measure forms and new examples of stable and globally minimal surfaces. 
(Russian) 92d:58040 

Ivanova, T. A. (with Popov, A. D.) Self-dual Yang-Mills fields and Nahm’s equations. 
92k:53047 

— Nahm equations and self-dual connections. (Russian) 92k:58280 

Jagy, William C. Minimal hypersurfaces foliated by spheres. 92b:53101 

Kastler, Daniel Introduction to noncommutative geometry and Yang-Mills model-building. 
92h:58017 

Kiinzle, H. P. SU(n)-Einstein-Yang-Mills fields with spherical symmetry. 92i:53025 

Lawlor, Gary R. A sufficient criterion for a cone to be area-minimizing. 924:49079 

Mateos Guilarte, Juan Domain walls in nonabelian gauge theory. 92a:81227 

Matsunaga, Hiromichi Conformal compactification of R? x S'. 924:53024 

— Note on periodic instantons. 92m:53046 

Morgan, Frank The cone over the Clifford torus in R* is ®-minimizing. 92b:49078 

Nag, Subhashis Self-dual connections, hyperbolic metrics and harmonic mappings on 
Riemann surfaces. 92m:58027 

Nakajima, Hiraku Self-duality of ALE Ricci-flat 4-manifolds and positive mass theorem. 
92j:53018 

— see also Itoh, Mitsuhiro, 92m:53045 

Nitta, Takashi Yang-Mills connections on quaternionic Kahler quotients. 92g:53022 

Ogievetskii, O. V. see Galperin, A. S., 92i:81321 

Pérez-Rendén, A. Yang-Mills theory of field interaction. (see 92g:00023) 

Popov, A. D. see Ivanova, T. A., 92k:53047 

Schiff, Jeremy Integrability of Chern-Simons-Higgs and abelian Higgs vortex equations in a 
background metric. 92¢:58052 

Smith, Penny D. Removable singularities for the Yang-Mills-Higgs equations in two 
dimensions. (French summary) 92a:53035 

Stovitek, Pavel On the initial condition for instanton solutions. 92c:14013 

Suh, Young Jin On the anti-self-duality of the Yang-Mills connection over higher- 
dimensional Kaehlerian manifold. 92a:53036 

Takakuwa, Shéichiré see Fujiwara, Daisuke, 92h:35118 

Talvacchia, Janet see DeTurck, Dennis M.; et al., 92a:53034 

Tso, Kaising Convex hypersurfaces with prescribed Gauss-Kronecker curvature. 92j:53029 

Yang, Yisong Self-dual monopoles in a seven-dimensional gauge theory. 92f:81109 

— Vortices on asymptotically Euclidean Riemann surfaces. 92a:81117 


58E20 Harmonic maps 


Aviles, Patricio (with Choi, Hyeong In; Micallef, Mario) Boundary behavior of harmonic 
maps on nonsmooth domains and complete negatively curved manifolds. 92j:58025 
Barbasch, Dan (with Glazebrook, James F.; Téth, G.) Harmonic maps between complex 
projective spaces. 92f:58045 

Bethuel, Fabrice Energies relaxées pour applications harmoniques. [Relaxed energies for 
harmonic mappings] 92b:58048 

— (with Brézis, Haim) Regularity of minimizers of relaxed problems for harmonic maps. 
92i:58045 

Bian, Bao Jun A remark on the uniqueness of the harmonic maps. 92h:58048 

Black, Malcolm * Harmonic maps into homogeneous spaces. 92):58026 

Bolton, J. (with Woodward, L. M.; Vrancken, Luc) Minimal immersions of S? and RP? into 
CP" with few higher order singularities. 92h:58049 

Brézis, Haim see Bethuel, Fabrice, 92i:58045 

Bukhvostov, A. P. (with Lipatov, L. N.) Covariantly homogeneous classical solutions in o 
models. (Russian) 92e:58050 

Chen, Yun Mei (with Musina, Roberta) Harmonic mappings into manifolds with 
boundary. 92b:58049 

— Evolution problems of harmonic maps in higher dimensions. (see 92m:35004) 

— Dirichlet problems for heat flows of harmonic maps in higher dimensions. 92k:58063 

Cheng, Xiaoxi Estimate of the singular set of the evolution problem for harmonic maps. 
92£:58046 

Chiang, Yuan-Jen Harmonic maps of V-manifolds. 92c:58021 





58E20 


Choi, Hyeong In (with Treibergs, Andrejs) Gauss maps of spacelike constant mean 
curvature hypersurfaces of Minkowski space. 92e:58051 

— see also Aviles, Patricio; et al., 92j:58025 

Croke, Christopher B. (with Fathi, A.) An inequality between energy and intersection. 
92d:58042 

Duc, D. M. (with Eells, James) Regularity of exponentially harmonic functions. 92e:58052 

Duzaar, Frank Regularity of p-harmonic maps into a closed hemisphere. (Italian summary) 
92e:58053 

Eells, James (with Ferreira, M. J.) On representing homotopy classes by harmonic maps. 
92h:58050 

— see also Duc, D. M., 92e:58052 

Fathi, A. see Croke, Christopher B., 92d:58042 

Ferreira, M. J. see Eells, James, 92h:58050 

Ghika, G. Homothetic symmetries on spatially compact space-times for the Einstein 
equations coupled to the harmonic maps. 92a:58033 

Glazebrook, James F. see Barbasch, Dan; et al., 92f:58045 

Grotowski, Joseph F. Harmonic map heat flow for axially symmetric data. 92k:58064 

Gudmundsson, Sigmundur On the geometry of certain harmonic two-spheres in complex 
Grassmannians. (Italian summary) 92h:58051 

Gulliver, Robert Harmonic mappings, symmetry, and computer graphics. 92e:58054 

— (with White, Brian Cabell) On convergence rates of harmonic maps near points of 
discontinuity. 92h:58052 

Hélein, Frédéric Régularité des applications faiblement harmoniques entre une surface et 
une sphére. (English summary) [Regularity of weakly harmonic maps between a surface 
and an n-sphere] 92a:58034 

— Sur la régularité des applications faiblement harmoniques entre une surface et une variété 
riemannienne. [Regularity of weakly harmonic mappings of a surface into a Riemannian 
manifold] (see 92:35007) 

— Régularité des applications faiblement harmoniques entre une surface et une variété 
riemannienne. (English summary) [Regularity of weakly harmonic maps between a 
surface and a Riemannian manifold] 92¢:58055 

— Regularity of weakly harmonic maps from a surface into a manifold with symmetries. 
92a:58035 

Jin, Zhi Ren (with Kazdan, Jerry L.) On the rank of harmonic maps. 92h:58053 

— Liouville theorems for harmonic maps. 92m:58025 

Kasue, Atsushi (with Washio, Takumi) Growth of equivariant harmonic maps and 
harmonic morphisms. 924:58043 

Kazdan, Jerry L. see Jin, Zhi Ren, 92h:58053 

Koh, Sung Eun Another nonexistence theorem for stable harmonic maps. (Korean. English 
summary) 92b:58050 

Lipatov, L. N. see Bukhvostov, A. P., 92e:58050 

Ma, Li Applications harmoniques équivariantes 4 valeurs dans une variété lorentzienne. 
(English summary) [On equivariant harmonic maps into a Lorentz manifold] 92a:58036 

— On equivariant harmonic maps defined on a Lorentz manifold. (French summary) 
92m:58026 

Micallef, Mario see Aviles, Patricio; et al., 92j:58025 

Milnor, Tilla Klotz Associate harmonic immersions in 3-space. 92b:58051 

Minsky, Yair N. Harmonic maps into hyperbolic 3-manifolds. 92j:58027 

Mau, Li Bin Uniqueness of energy minimizing maps for almost all smooth boundary data. 
92e:58056 

Musina, Roberta see Chen, Yun Mei; et al., 92b:58049 

Nag, Subhashis Self-dual connections, hyperbolic metrics and harmonic mappings on 
Riemann surfaces. 92m:58027 

Negreiros, Caio J.C. Harmonic maps into periodic flag manifolds and into loop groups. 
92g:58025 

Oh, Yong-Geun Removal of boundary singularities of pseudo-holomorphic curves with 
Lagrangian boundary conditions. 92k:58065 

Ohnita, Yoshihiro (with Udagawa, Seiichi) Complex-analyticity of pluriharmonic maps and 
their constructions. 92g:58026 

Okayasu, Takashi Isolation phenomena for harmonic maps. 92m:58028 

Oproiu, V. Harmonic maps between tangent bundles. 92f:58047 

Palmer, Bennett Index and stability of harmonic Gauss maps. 924:58044 

Park, Joon Sik (with Urakawa, Hajime) Classification of harmonic mappings of constant 
energy density into spheres. 92b:58052 

Poon, Chi-Cheung Some new harmonic maps from B? to S?. 92e:58057 

Riviere, Tristan (with Shafrir, Itai) Asymptotic analysis of minimizing harmonic maps of 
regions bounded by two circles. (French summary) 92i:58046 

Sakamoto, Kunio Stability of the equator map. 92a:58037 

Sandier, Etienne Symétrie des applications harmoniques minimisantes d’une couronne vers 
la sphére. (English summary) [The symmetry of minimizing harmonic maps from an 
annulus to the sphere] 92k:58066 

Sha, Ji-Ping (with Yang, Da-Gang) On harmonic maps from conformal S?"+! to CP". 
92b:58053 

Shafrir, Itai see Riviere, Tristan, 92i:58046 

Stafford, Seth A probabilistic proof of S.-Y. Cheng’s Liouville theorem. 92a:58038 

Struwe, Michael The evolution of harmonic mappings with free boundaries. 924:58045 

— The evolution of harmonic maps: existence, partial regularity, and singularities. (see 
92m:35003) 

Tachikawa, Atsushi Harmonic maps from a Riemannian manifold with a pole into an 
Hadamard manifold with negative sectional curvatures. 92k:58067 

Takeuchi, Hiroshi Stability and Liouville theorems of p-harmonic maps. 92m:58029 

Téth, G. see Barbasch, Dan; et al., 92f:58045 

Treibergs, Andrejs see Choi, Hyeong In, 92e:58051 

Tyrin, A. V. Harmonic spheres in compact Lie groups, and extremals of a multivalued 
Novikov functional. (Russian) 92i:58047 

Udagawa, Seiichi see Ohnita, Yoshihiro, 92g:58026 

Urakawa, Hajime see Park, Joon Sik, 92b:58052 

Vazquez-Abal, Maria Elena Harmonicity on the tangent bundle of order r. (French 
summary) 924:58046 

Vrancken, Luc see Bolton, J.; et al., 92h:58049 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 980 


Wang, Shao Bo Some results on stability of 3-harmonic mappings. (Chinese) 92i:58048 

Wang, You Ning The stability of domain and the pinching of energy about harmonic maps. 
92b:58054 

Washio, Takumi see Kasue, Atsushi, 924:58043 

Wei, S. Walter Liouville theorems and regularity of minimizing harmonic maps into super- 
strongly unstable manifolds. 92m:58030 

White, Brian Cabell Nonunique tangent maps at isolated singularities of harmonic maps. 
92e:58058 

— see also Gulliver, Robert, 92h:58052 

Wolf, Michael Infinite energy harmonic maps and degeneration of hyperbolic surfaces in 
moduli space. 92b:58055 

Woodward, L. M. see Bolton, J.; et al., 92h:58049 

Wu, Chuan Xi Some results on stable harmonic maps. (Chinese) 92d:58047 

— A note on stable harmonic mappings. (Chinese. English summary) 92k:58068 

Yang, Da-Gang see Sha, Ji-Ping, 92b:58053 


Items with secondary classifications in 58E20 

Baird, Paul (with Wood, John C.) Harmonic morphisms and conformal foliations by 
geodesics of three-dimensional space forms. 92k:53048 

Brézis, Haim * Mathematical problems of liquid crystals. 92e:58049 

Callan, Curtis G., Jr. Topics in string theory. (see 92c:81006) 

Chen, Bang-Yen (with Piccinni, Paolo) Finite type submanifolds and finite type Gauss 
maps. 92¢e:53074 

Corlette, Kevin Archimedean superrigidity and hyperbolic geometry. 92m:57048 

Dodson, C. T. J. (with Vazquez-Abal, Maria Elena) Harmonic fibrations of the tangent 
bundle of order two. (Italian summary) 92a:53030 

Fojiki, Akira Hyper-Kahler structure on the moduli space of flat bundles. 92m:53044 

Gao, Mei Ling Harmonic Gauss mappings and relatively affine Gauss mappings. (Chinese. 
English summary) 92¢:53093 

Ghika, G. Some applications of the theory of harmonic mappings to the splitting problem 
and to the Skyrme model. 92f:81234 

Hahn, Erika Blocking sets in linear spaces. 92h:51016 

Johnson, Gene Douglas An intrinsic characterization of a class of minimal surfaces in 
constant curvature manifolds. 92c:53041 

Jost, Jiirgen * Two-dimensional geometric variational problems. 92h:58045 

— (with Yau, Shing-Tung) Harmonic maps and Kahler geometry. 92j:32026 

Lambert, Dominique Pseudo-Euclidean Hurwitz pairs, sigma and pure spinor models. 
92k:58060 

Li, Peter Erratum: “On the structure of complete Kahler manifolds with nonnegative 
curvature near infinity” [Invent. Math. 99 (1990), no. 3, 579-600; MR 91¢:53063]. 
92b:53109 

Lohkamp, Jochen Harmonic diffeomorphisms and Teichmiiller theory. 92d:32027 

Picard, Jean Martingales on Riemannian manifolds with prescribed limit. 92g:58134 

Piccinni, Paolo see Chen, Bang-Yen; et al., 92e:53074 

Schoen, Richard M. A report on some recent progress on nonlinear problems in geometry. 
92m:53069 

Siu, Yum Tong Some recent results related to the uniformization problem in several 
complex variables. 92m:32054 

Vanderwinden, A.-J. Totally geodesic spheres in complex Grassmannians and unitary 
groups. 92h:55015 

Vanhecke, Lieven (with Vazquez-Abal, Maria Elena) Harmonic reflections. (Italian 
summary) 92m:53070 

Vazquez-Abal, Maria Elena Harmonicity of tensor fields of type (1, 1). (Spanish. English 
summary) (see 92b:00044) 

— Harmonicity and Brownian motion. 92k:58276 

— see also Dodson, C. T. J., 92a:53030 and Vanhecke, Lieven, 92m:53070 

Wolf, Michael High energy degeneration of harmonic maps between surfaces and rays in 
Teichmiiller space. 92j:32075 

Wood, John C. see Baird, Paul, 92k:53048 

Yau, Shing-Tung (with Zheng, Fang Yang) Negatively 1-pinched Riemannian metric on a 
compact Kahler manifold. 92a:53056 

— see also Jost, Jiirgen, 92j:32026 

Zakrzewski, Wojciech J. * Low-dimensional sigma models. 92h:81172 

Zheng, Fang Yang see Yau, Shing-Tung, 92a:53056 


58E25 Applications to control theory (optimal and nonoptimal) 


Agrachév, A. A. (with Vakhrameev, S. A.) Morse theory and optimal control problems. 
92k:58069 

— see also Gamkrelidze, R. V.; et al., 92b:58056 

Gamkrelidze, R. V. (with Agrachév, A. A.; Vakhrameev, S. A.) Ordinary differential 
equations on vector bundles, and chronological calculus. (Russian) 92b:58056 

Vakhrameev, S. A. Hilbert manifolds with angles of finite codimension, and optimal control 
theory. (Russian) 92b:58057 

— see also Gamkrelidze, R. V.; et al., 92b:58056 and Agrachév, A. A., 92k:58069 


Items with secondary classifications in 58E25 

Delfour, Michel C. (with Zolésio, Jean-Paul) Anatomy of the shape Hessian. (French 
summary) 92k:35016 

Jongen, Hubertus Th. (with Jonker, P.; Twilt, F.) %* Nonlinear optimization in R". I. 
92a:90004 

— (with Jonker, P.; Twilt, F.) * Nonlinear optimization in R". II. 92a:90005 

Jonker, P. see Jongen, Hubertus Th.; et al., 92a:90004 and 92a:90005 

Motreanu, Dumitru Control vector fields with strong accessibility property. 92h:93016 

Rampazzo, Franco On Lagrangian systems with some coordinates as controls. 92m:58125 

Tret'yak, A. I. Necessary conditions for optimality of odd order in the time-optimality 
problem. (Russian) 924:49034 

Twilt, F. see Jongen, Hubertus Th.; et al., 92a:90004 and 92a:90005 

Vakhrameev, S. A. The Lyusternik-Shnirel/man theory for transversally convex subsets of 
Hilbert manifolds and its application in optimal control theory. (Russian) 92k:58048 





981 1992 


Zolésio, Jean-Paul see Delfour, Michel C., 92k:35016 


58E30 Variational principles 


Anastasiei, Mihai (with Kawaguchi, Hiroaki) A geometrical theory of time dependent 
Lagrangians. I. Nonlinear connections. 92d:58048 

— (with Kawaguchi, Hiroaki) A geometrical theory of time dependent Lagrangians. II. M- 
connections. 92f:58048 

Anderson, Ian M. (with Thompson, Gerard) The inverse problem of the calculus of 
variations for ordinary differential equations. 92k:58070 

Baryshnikov, Yu. M. Indices for extremal embeddings of 1-complexes. 92c:58022 

Bejancu, Aurel Gauge theory on a vector bundle. III. Strength fields, conservation laws and 
Bianchi identities. (Romanian summary) 92e:58059 

— Gauge theory on a vector bundle. I. Global invariance of Lagrangians on a vector bundle. 
924d:58049 

Berger, Melvyn S. * Mathematical structures of nonlinear science. 92d:58050 

Blot, Joel Une méthode hilbertienne pour les trajectoires presque-périodiques. (English 
summary) [A Hilbert method for the almost periodic trajectories] 92g:58027 

Borowiec, Andrzej Remarks on globalization of the Lagrangian formalism. 92d:58051 

Chien, N. see Honein, T.; et al., 92d:58052 

Fairlie, D. B. Remarks on a paper of P. J. Olver: “Hyper-Jacobians, determinantal ideals 
and weak solutions to variational problems” [Proc. Roy. Soc. Edinburgh Sect. A 95 
(1983), no. 3-4, 317-340; MR 85c:58040]. 92i:58049 

Gotay, Mark J. A multisymplectic fr rk for classical field theory and the calculus of 
variations. I. Covariant Hamiltonian formalism. 92c:58023 

Herrmann, G. see Honein, T.; et al., 92d:58052 

Honein, T. (with Chien, N.; Herrmann, G.) On conservation laws for dissipative systems. 
92d:58052 

Ibort, Luis Alberto (with Lopez Lacasta, Carlos) On the existence of local and global 
Lagrangians for ordinary differential equations. 92e:58060 

Kamran, Niky (with Olver, Peter J.) Equivalence of higher order Lagrangians. I. Formula- 
tion and reduction. 92k:58071 

Karatas, Debra L. (with Kowalski, Kenneth L.) Noether’s theorem for local gauge 
transformations. 92b:58058 

Kawaguchi, Hiroaki see Anastasiei, Mihai, 92d:58048 and 92f:58048 

Konderak, Jerzy J. On natural first order Lagrangians. 92i:58050 

Kowalski, Kenneth L. see Karatas, Debra L., 92b:58058 

Lépez Lacasta, Carlos see Ibort, Luis Alberto, 92e:58060 

Manoff, S. Invariant projection of the energy-momentum tensors for field theories in spaces 
with affine connection and metric. 92a:58039 

Mimura, Fumitake (with Néno, Takayuki) The inverse problem of Lagrangian dynamics in 
the multiple variational principle within the context of the calculus on differential forms. 
92h:58054 

Néno, Takayuki see Mimura, Fumitake, 92h:58054 

Olver, Peter J. see Kamran, Niky, 92k:58071 and Fairlie, D. B., 92i:58049 

Percivale, Danilo Uniqueness in the elastic bounce problem. II. 92j:58028 

Shadwick, William F. On the geometry of the Lagrange problem. 92d:58053 

Stapleton, David An application of functional equations to the analysis of the invariance 
identities of classical gauge field theory. 92i:58051 

Thompson, Gerard see Anderson, Ian M., 92k:58070 





Items with secondary classifications in 58E30 

Anastasiei, Mihai (with Kawaguchi, Hiroaki) A geometrical theory of time dependent 
Lagrangians. III. Applications. 92m:58038 

Benci, Vieri (with Giannoni, Fabio) Homoclinic orbits on compact manifolds. 92h:58150 

Cianci, Roberto * Introduction to supermanifolds. 92b:58014 

Costa, David G. (with Silva, Elves Alves de B. e) The Palais-Smale condition versus 
coercivity. 92i:58033 

Damour, Thibault (with Schafer, Gerhard) Redefinition of position variables and the 
reduction of higher-order Lagrangians. 92b:70025 

Edelen, Dominic G. B. (with McKellar, R. J.) An alternative to the complete figure of 
Carathéodory. 92k:58009 

Ferraris, Marco (with Francaviglia, Mauro) The variational structure of general relativity. 
92h:83005 

Francaviglia, Mauro see Ferraris, Marco, 92h:83005 

Fré, Pietro Differential geometry and the Lagrangians of superstring theory. 92a:81144 

Giannoni, Fabio see Benci, Vieri, 92h:58150 

Hamilton, E. P. see Nashed, M. Zuhair, 92i:49031 

Hannibal, Ludger Hamilton’s principle, covariant Hamiltonian, and canonical formalism in 
four and five dimensions. 92k:83116 

Hayward, Geoffrey Gordon (with Louko, Jorma) Variational principles for nonsmooth 
metrics. 92a:83008 

Ibort, Luis Alberto (with Marin Solano, J.) On the inverse problem of the calculus of 
variations for a class of coupled dynamical systems. 92i:49057 

Kalitzin, Stilyan (with Sokatchev, E. S.) An action principle for self-dual Yang-Mills and 
Einstein equations. 92b:83009 

Kawaguchi, Hiroaki see Anastasiei, Mihai, 92m:58038 

Kuzin, I. A. Multivalued solvability of some elliptic problems in R”. (Russian) 92k:35092 

— The existence of a countable set of periodic spherically symmetric solutions of the 
nonlinear wave equation. (Russian) 92g:35021 

van der Lende, E. D. (with Pijls, H. G. J.) Super Hamiltonian operators and Lie superalge- 
bras. 92e:58031 

— (with Pijls, H. G. J.) Super Hamiltonian operators and Lie supcralgebras. 92d:58079 

Louko, Jorma see Hayward, Geoffrey Gordon, 92a:83008 

Lusanna, Luca The second Noether theorem as the basis of the theory of singular La- 
grangians and Hamiltonian constraints. 92¢:58037 

Marin Solano, J. see Ibort, Luis Alberto, 92i:49057 

Marmo, G. (with Morandi, Giuseppe; Rubano, C.) Symmetries in the Lagrangian and 
Hamiltonian formalism: the equivariant inverse problem. 92e:58061 


58E Variational problems in infinite-dimensional spaces 


58E50 


— (with Morandi, Giuseppe) On the inverse problem with sy 
of cohomologies in classical Lagrangian dynamics. 92m:58157 

Mather, John N. Action minimizing invariant measures for positive definite Lagrangian 
systems. 92m:58048 

Matsyuk, R. Ya. Exterior differential equations in generalized mechanics and symmetry 
properties. (Russian) 92b:58009 

McKellar, R. J. see Edelen, Dominic G. B., 92k:58009 

Mimura, Fumitake (with N6no, Takayuki) Alternative approach to the inverse problem of 
Lagrangian dynamics in the multiple variational principle. 92e:70026 

Morandi, Giuseppe see Marmo, G.; et al., 92e:58061 and 92m:58157 

Nashed, M. Zuhair (with Hamilton, E. P.) Local and global bivariational gradients and 
singular variational derivatives of functionals on C"[a, 5]. 92i:49031 

Néno, Takayuki see Mimura, Fumitake, 92e:70026 

Noriega, Ricardo J. Gauge invariance of the Euler-Lagrange expressions. 92j:70009 

Pascual-Sanchez, J.-F. Variational principles and quantum gravity. 92a:83029 

Pijls, H. G. J. see van der Lende, E. D., 92d:58079 and 92e:58031 

Rajiada, Manuel F. Extended tangent bundle formalism for time-dependent Lagrangian 
systems. 92e:58076 

Rodriguez Sanchez, Gerardo Invariant Lagrangians in higher-order mechanics. (Spanish) 
(see 92g:00024) 

Rubano, C. see Marmo, G.; et al., 92e:58061 

Schafer, Gerhard see Damour, Thibault, 92b:70025 

Shmyrov, A. S. Trajectories of a canonical mapping. (Russian. English summary) 92i:70031 

Silva, Elves Alves de B.e Linking theorems and applications to semilinear elliptic problems 
at resonance. 92d:35108 

— see also Costa, David G., 92i:58033 

Sokatchev, E.S. see Kalitzin, Stilyan, 92b:83009 

Struwe, Michael * Variational methods. 92b:49002 

Timoumi, Mohsen Solutions périodiques de systémes hamiltoniens co es non ¢ 
(English summary) [Periodic solutions of noncoercive convex Hamiltonian systems] 
92m:58112 

Virga, Epifanio G. Equilibrium shapes of a drop of liquid crystal. (Italian. English 
summary) 92i:58043 





ies, and the appearance 





58E35 Variational inequalities (global problems) 


Massari, Umberto (with Tamanini, Italo) Regularity properties of optimal segmentations. 
92h:58055 

Quittner, Pavol An instability criterion for variational inequalities. 92b:58059 

Schuricht, Friedemann Minimax principle for eigenvalue variational inequalities in the 
nonsmooth case. 92i:58052 

Tamanini, Italo see Massari, Umberto, 92h:58055 


Items with secondary classifications in 58E35 

Miller, Stefan Higher integrability of determinants and weak convergence in L'. 92b:49026 

Murdoch, Timothy A. Twisted calibrations. 92¢:53042 

Pavienko, V. N. Semiregular solutions of elliptic variational inequalities with discontinuous 
nonlinearities. (Russian. Ukrainian summary) 924:49017 

Wang, Wen Tao Stability of hypersurfaces with constant mean curvature. (Chinese) 
92£:58040 


58E40 Group actions 
Wang, Zhi Qiang A Z, index theory. 92a:58040 


Items with secondary classifications in 58E40 

Baadhio, Randy A. Heterotic superstring gauge residue trivialization via homogeneous CP* 
topology change. 92b:57035 

Bartsch, Thomas (with Clapp, Ménica) Bifurcation theory for symmetric potential 
operators and the equivariant cup-length. 92g:58020 

Bor, Gil (with Montgomery, Richard) SO(3) invariant Yang-Mills fields which are not self- 
dual. 92f:58041 

Clapp, Ménica (with Puppe, Dieter) Critical point theory with symmetries. 92d:58031 

— see also Bartsch, Thomas, 92g:58020 

Ghoussoub, N. Location, multiplicity and Morse indices of min-max critical points. 
92e:58040 

Krawcewicz, W. (with Marzantowicz, Waclaw) Some remarks on the Lusternik- 
Schnirel/man method for nondifferentiable functionals invariant with respect to a finite 
group action. 92f:58033 

Ma, Li On equivariant harmonic maps defined on a Lorentz manifold. (French summary) 
92m:58026 

Marzantowicz, Waclaw see Krawcewicz, W., 92f:58033 

Montgomery, Richard see Bor, Gil, 92:58041 

Puppe, Dieter see Clapp, Monica, 924:58031 


58E50 Applications 


Grmela, Miroslav Common structure in the hierarchy of models of physical systems. 
92£:58049 

Marmo, G. (with Morandi, Giuseppe; Rubano, C.) Symmetries in the Lagrangian and 
Hamiltonian formalism: the equivariant inverse problem. 92¢:58061 

Morandi, Giuseppe see Marmo, G.; et al., 92e:58061 

Rubano, C. see Marmo, G.; et al., 92e:58061 


Items with secondary classifications in 58E50 

Bazeia, D. Note on Chern-Simons solitons. 92c:81096 

Binz, E. Constitutive laws of bounded smoothly deformable media. 92i:73004 

Bobbio, S. (with Marrucci, G.) Classical thermodynamics formulated as a field theory in the 
representative space. 92h:80005 





58E50 


Bukhvostov, A. P. (with Lipatov, L. N.) Covariantly homogeneous classical solutions in 0 
models. (Russian) 92e:58050 

Doi, Hideo (with Sawae, Ryuichi) Chiral models and the Einstein-Maxwell field equations. 
92b:83035 

Ferraris, Marco (with Francaviglia, Mauro) The Lagrangian approach to conserved 
quantities in general relativity. 92b:83043 

Francaviglia, Mauro see Ferraris, Marco, 92b:83043 

Geba, Leszek (with Pruszko, Tadeusz) Some applications of minimax and topological 
degree to the study of the Dirichlet problem for elliptic partial differential equations. 
92m:35072 

Howe, P.S. (with Papadopoulos, George J.) A note on holonomy groups and sigma models. 
92i:81324 

Kay, Daniel see Viswanathan, K. S.; et al., 92e:81211 

Kinderlehrer, David Recent developments in liquid crystal theory. 92b:76004 

Koditschek, Daniel E. (with Rimon, Elon) Robot navigation functions on manifolds with 
boundary. 92b:58035 

Lipatov, L. N. see Bukhvostov, A. P., 92e:58050 

Manoff, S. * On the energy-momentum tensors for field theories in spaces with affine 
connection and metric. 92b:83044 

— * On the energy-momentum tensors for field theories in spaces with affine connection and 
metric. 92b:83045 

Marrucci, G. see Bobbio, S., 92h:80005 

Papadopoulos, George J. Group actions and nonlinear sigma models. 92a:81114 

— see also Howe, P. S., 92i:81324 

Parthasarathy, Ragavachariar see Viswanathan, K. S.; et al., 92e:81211 

Piette, Bernard (with Zakrzewski, Wojciech J.) Skyrmions and their scattering in (2 + 1) 
dimensions. 92i:81177 

Pruszko, Tadeusz see Geba, Leszek, 92m:35072 

Rimon, Elon see Koditschek, Daniel E., 92b:58035 

Sawae, Ryuichi see Doi, Hideo, 92b:83035 

Schechter, Martin A bounded mountain pass lemma without the (PS) condition and 
applications. 92h:58040 

Viswanathan, K.S. (with Parthasarathy, Ragavachariar; Kay, Daniel) Generalized Gauss 
map and the geometry of strings. 92e:81211 

Zakrzewski, Wojciech J. see Piette, Bernard, 92i:81177 


58E99 None of the above, but in this section 


Evans, L.C. (with Spruck, Joel) Motion of level sets by mean curvature. II. 92f:58050 

Freedman, Michael H. (with He, Zheng-Xu) Links of tori and the energy of incompressible 
flows. 92¢:58062 

He, Zheng-Xu see Freedman, Michael H., 92e:58062 

Spruck, Joel see Evans, L. C., 92f:58050 


Items with secondary classifications in 58E99 

Cabras, Antonella (with Canarutto, D.) Systems of principal tangent-valued forms. (Italian 
summary) 92k:53041 

Canarutto, D. see Cabras, Antonella, 92k:53041 

Holz, A. Topological properties of linked disclinations in anisotropic liquids. 92h:82116 

Hurtubise, Jacques (with Murray, Michael K.) Monopoles and their spectral data. 
92a:32041 

Murray, Michael K. see Hurtubise, Jacques, 92a:32041 


58Fxx Ordinary differential equations on manifolds; 
dynamical systems [see also 28D10, 34Cxx, 
54H20] 


(Benoit, E.) see Dynamic bifurcations, 92m:58034 

(Coelho, Z.) see Workshop: Dynamical Systems, 92m:58036 

Collet, Pierre (with Eckmann, Jean-Pierre) * Instabilities and fronts in extended systems. 
92e:58063 

Eckmann, Jean-Pierre see Collet, Pierre, 92e:58063 

(Fronzoni, Leone) see Dynamical symmetries and chaotic behaviour in physical systems, 
92c:58025 

Ingraham, R. L. * A survey of nonlinear dynamics (“chaos theory”). 92m:58031 

Jackson, E. Atlee * Perspectives of nonlinear dynamics. Vol. 1. 92m:58032 

— * Perspectives of nonlinear dynamics. Vol. 2. 92m:58033 

(Krzyzewski, Karol) see Dynamical systems and ergodic theory, 92b:58060 

(MacKay, R.S.) see Hamiltonian dynamical systems, 92g:58028 

(Maino, Giuseppe) see Dynamical symmetries and chaotic behaviour in physical systems, 
92¢:58025 

Manneville, Paul * Dissipative structures and weak turbulence. 92f:58051 

(Meiss, J.D.) see Hamiltonian dynamical systems, 92g:58028 

(Pettini, Marco) see Dynamical symmetries and chaotic behaviour in physical systems, 
92¢:58025 

(Shiels, E.) see Workshop: Dynamical Systems, 92m:58036 

(Sinai, Ya. G.) see Dynamical systems, 92d:58054 

(Thom, René) see Workshop: Dynamical Systems, 92m:58036 

Wiggins, Stephen * Introduction to applied nonlinear dynamical systems and chaos. 
92a:58041 


Items listed otherwise than by author 

Bifurcation phenomena in nonlinear systems and theory of dynamical systems * Hisenkei 
kei ni mirareru bunki gensho to rikigaku kei riron. [Bifurcation phenomena in nonlinear 
systems and theory of dynamical systems] 92c¢:58024 

Birthday: 
Thom, René * Workshop on Dynamical Systems. 92m:58036 

Bologna * Dynamical symmetries and chaotic behaviour in physical systems. 92c:58025 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Conference: 
Dynamic Bifurcations * Dynamic bifurcations. 92m:58034 
Dynamic bifurcations * Dynamic bifurcations. 92m:58034 
Dynamical symmetries and chaotic behaviour in physical systems * Dynamical symmetries 
and chaotic behaviour in physical systems. 92¢:58025 
Dynamical systems * Dynamical systems. 924:58054 
Dynamical systems and ergodic theory * Dynamical systems and ergodic theory. 92b:58060 
Hamiltonian dynamical systems * Hamiltonian dynamical systems. 92g:58028 
Lecture Notes in Mathematics * Dynamic bifurcations. 92m:58034 
Luminy * Dynamic bifurcations. 92m:58034 
Some problems on the theory of dynamical systems in applied sciences * Oyo bunya ni okeru 
rikigaku kei riron no shomondai. (Japanese) [Some problems on the theory of dynamical 
systems in applied sciences] 92m:58035 
Symposium: 
Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems 
* Hisenkei kei ni mirareru bunki gensho to rikigaku kei riron. [Bifurcation phenomena 
in nonlinear systems and theory of dynamical systems] 92c:58024 
Some Problems on the Theory of Dynamical Systems in Applied Sciences * Oyo bunya ni 
okeru rikigaku kei riron no shomondai. (Japanese) [Some problems on the theory of 
dynamical systems in applied sciences] 92m:58035 
Trieste * Workshop on Dynamical Systems. 92m:58036 
Warsaw * Dynamical systems and ergodic theory. 92b:58060 
Workshop: 
Dynamical Systems * Workshop on Dynamical Systems. 92m:58036 
Mathematical Physics and Nonlinear Dynamics * Dynamical symmetries and chaotic 
behaviour in physical systems. 92¢:58025 


Items with secondary classifications in 58Fxx 

(Ames, W.F.) see Nonlinear equations in the applied sciences, 92d:58002 

Calogero, F. Some ideas on nonlinear evolution equations. (see 92b:00043) 

Campbell, David K. Introduction to nonlinear phenomena. (see 92d:00004) 

— see also Nonlinear science: the next decade, 92j:00035 

(Ecke, Robert E.) see Nonlinear science: the next decade, 92j:00035 

Gal'perin, G. A. (with Zemlyakov, A. N.) * Matematuueckue 6unbapati. (Russian) 
[Mathematical billiards] 92k:58001 

Hubbard, John H. (with West, Beverly H.) * Differential equations: a dynamical systems 
approach. Part I. 92b:34001 

(Hyman, James M.) see Nonlinear science: the next decade, 92j:00035 

(Rogers, Colin) see Nonlinear equations in the applied sciences, 92d:58002 

Shen, Jia Qi The meaning of the Mel’nikov function in physics. (Chinese. English 
summary) 

(Turchetti, Giorgio) see Nonlinear dynamics, 92b:58003 

West, Beverly H. see Hubbard, John H., 92b:34001 

Zemlyakov, A. N. see Gal’perin, G. A., 92k:58001 

Zwillinger, Daniel * Handbook of differential equations. 92j:00014 


Items listed otherwise than by author 

Bologna * Nonlinear dynamics. 92b:58003 

Conference: 
Center for Nonlinear Studies * Nonlinear science: the next decade. 92j:00035 
Nonlinear Dynamics * Nonlinear dynamics. 92b:58003 
Nonlinear Science: the Next Decade * Nonlinear science: the next decade. 92j:00035 

Los Alamos, NM * Nonlinear science: the next decade. 92j:00035 

Nonlinear dynamics * Nonlinear dynamics. 92b:58003 

Nonlinear equations in the applied sciences * Nonlinear equations in the applied sciences. 
92d:58002 

Nonlinear science: the next decade * Nonlinear science: the next decade. 92j:00035 


58F03 One-dimensional dynamics, general symbolic dynamics 
[see also 26A18] 


Agnes, Corrado (with Rasetti, Mario G.) Undecidability of the word problem and chaos in 
symbolic dynamics. 92h:58056 

Ali, M. K. see Kolar, Miroslav, 92b:58063 

Arnoux, Pierre (with Rauzy, Gérard) Représentation géométrique de suites de complexité 
2n + 1. (English summary) [Geometric representation of sequences of complexity 2n + 1] 
92k:58072 

Ashley, Jonathan Bounded-to-1 factors of an aperiodic shift of finite type are 1-to-1 almost 
everywhere factors also. 92d:58055 

— Resolving factor maps for shifts of finite type with equal entropy. 92d:58056 

— (with Coven, Ethan M.; Geller, William) Entropy of semipatterns or how to connect the 
dots to minimize entropy. 92¢:58026 

Badii, R. Quantitative characterization of complexity and predictability. 92i:58053 

Baldwin, Stewart Some limitations toward extending Sarkovskii’s theorem to connected 
linearly ordered spaces. 92¢:58064 

Blanchard, F. Extensions a fibre constante. (English summary) [Extensions with constant 
fiber] 92:58052 

Boyle, Mike (with Handelman, David) The spectra of nonnegative matrices via symbolic 
dynamics. 92d:58057 

— (with Fiebig, Ulf-Rainer) The action of inert finite-order automorphisms on finite 
subsystems of the shift. 92g:58029 

Cao, Ke Fei (with Peng, Shou Li) Universal scaling of generalized dimensions on critical 
strange sets. 92k:58073 

Childress, Stephen (with Klapper, Isaac) On some transport properties of baker’s maps. 
92j:58029 

Chow, Shui-Nee (with Palmer, Kenneth J.) On the numerical computation of orbits of 
dynamical systems: the one-dimensional case. 92h:58057 

Coven, Ethan M. see Ashley, Jonathan; et al., 92c:58026 

Ding, Ming Zhou see Hao, Bai Lin, 92b:58061 

Erber, T. (with Gavelek, D.) The iterative evolution of complex systems. 92i:58054 





983 1992 


Fedorenko, V. V. Classification of simple one-dimensional dynamical systems. (Russian) 
92m:58037 

Feigenbaum, Mitchell J. see Veerman, J. J. P., 92d:58060 

Fiebig, Ulf-Rainer see Boyle, Mike, 92g:58029 

Gavelek, D. see Erber, T., 92i:58054 

Gedeon, Tomas Stable and nonstable nonchaotic maps of the interval. 92k:58074 

Geller, William see Ashley, Jonathan; et al., 92c:58026 

Handelman, David see Boyle, Mike, 92d:58057 

Hao, Bai Lin Elementary symbolic dynamics. (see 92i:58001) 

— (with Ding, Ming Zhou) Elementary symbolic dynamics in the study of chaos. 92b:58061 

— Symbolic dynamics and characterization of complexity. 92k:58075 

Isola, Stefano (with Politi, Antonio) Universal encoding for unimodal maps. 924:58058 

Kameyama, Atsushi On the self-similar sets with frames. 92g:58030 

Kim, Ki Hang (with Roush, F. W.) Path components of matrices and strong shift 
equivalence over Q*. 92c:58027 

Kitchens, Bruce (with Marcus, Brian H.; Trow, Paul) Eventual factor maps and composi- 
tions of closing maps. 92b:58062 

Klapper, Isaac see Childress, Stephen, 92j:58029 

Koldf, Miroslav (with Ali, M. K.) Trace maps associated with general two-letter substitution 
Tules. 92b:58063 

— (with Nori, Franco) Trace maps of general substitutional sequences. 92b:58064 

La, Ya Yan Ordering by auto-expansions. 92f:58053 

Luo, Lishi see Peng, Shou Li, 92f:58054 

Marcus, Brian H. see Kitchens, Bruce; et al., 92b:58062 

Moore, Cristopher Generalized one-sided shifts and maps of the interval. 92i:58055 

Nori, Franco see Kola¥, Miroslav, 92b:58064 

Palmer, Kenneth J. see Chow, Shui-Nee, 92h:58057 

Peng, Shou Li (with Luo, Lishi) The ordering of critical periodic points in coordinate space 
by symbolic dynamics. 92f:58054 

— see also Cao, Ke Fei, 92k:58073 

Politi, Antonio see Isola, Stefano, 92d:58058 

Rasetti, Mario G. see Agnes, Corrado, 92h:58056 

Rauzy, Gérard see Arnoux, Pierre, 92k:58072 

Rechester, Alexander B. (with White, Roscoe Beryl) Symbolic kinetic equation for a chaotic 
attractor. 92c:58028 

— (with White, Roscoe Beryl) Symbolic kinetic analysis of two-dimensional maps. 
92£:58055 

Rockmore, Daniel (with Siegel, Ralph; Tongring, Nils; Tresser, Charles) An approach to 
renormalization on the n-torus. 92h:58058 

Rogers, T. D. (with Shirvani, M.) An ergodic family of maps on sequence spaces. 
92d:58059 

Roush, F. W. see Kim, Ki Hang, 92c:58027 

Shirvani, M. see Rogers, T. D., 92d:58059 

Siegel, Ralph see Rockmore, Daniel; et al., 92h:58058 

Tongring, Nils see Rockmore, Daniel; et al., 92h:58058 

Tresser, Charles see Rockmore, Daniel; et al., 92h:58058 

Trow, Paul see Kitchens, Bruce; et al., 92b:58062 

Veerman, J. J.P. (with Feigenbaum, Mitchell J.) Scaling behavior & thermodynamics. 
924:58060 

White, Roscoe Beryl see Rechester, Alexander B., 92c:58028 and 92£:58055 

Williams, Susan Lattice invariants for sofic shifts. 92k:58076 

Zheng, Wei Mou Symbolic dynamics for the circle map. 92e:58065 


Items with secondary classifications in 58F03 

Adler, Roy L. (with Flatto, Leopold) Geodesic flows, interval maps, and symbolic 
dynamics. 92b:58172 

Agnes, Corrado (with Rasetti, Mario G.) Undecidability of the inverse problem for chaotic 
symbolic dynamics. 92h:03066 

Alseda i Soler, Lluis (with Moreno, José Miguel) Lower bounds of the topological entropy 
of maps of Y. 92e:58106 

Argoul, F. (with Arneodo, Alain; Richetti, P.) Symbolic dynamics in the Belousov- 
Zhabotinskii reaction: an experimental and theoretical approach to Shil/nikov chaos. 
92£:80020 

— (with Arneodo, Alain; Richetti, P.) Symbolic dynamics in the Belousov-Zhabotinskii 
reaction: from Réssler’s intuition to experimental evidence for Shil‘nikov’s homoclinic 
chaos. (see 92m:58093) 

Arneodo, Alain see Argoul, F.; et al., 92f:80020 and (92m:58093) 

Badii, R. (with Finardi, M.; Broggi, G.) Recursive symbolic encoding and hierarchical 
description of complex systems. (see 92f:00011) 

Baesens, Claude Slow sweep through a period-doubling cascade: delayed bifurcations and 
renormalisation. 92m:58094 

Bessis, Daniel (with Mantica, Giorgio) Construction of multifractal in dy: ical 
systems from their invariance properties. 92¢:58060 

Bivins, R. L. (with Louck, J. D.; Metropolis, N.; Stein, M. L.) Classification of all cycles of 
the parabolic map. 92j:58084 

Blokh, A. M. (with Lyubich, M. Yu.) Measure of solenoidal attractors of unimodal 
transformations of an interval. (Russian) 92d:58117 

Bogatyi, S. A. Periodic points of mappings on an interval. (Russian) 92a:58109 

Broggi, G. see Badii, R.; et al., (92f:00011) 

Bulatek, Wojciech (with Kwiatkowski, Jan) The topological centralizers of Toeplitz flows 
and their Z>-extensions. 92k:54050 

Cheng, Bing see Tong, Howell 

Chernov, N.I. see Galeeva, R. F., 92k:58215 

Corless, R. M. (with Frank, G. W.; Monroe, J. Graham) Chaos and continued fractions. 
92¢:58074 

Cvitanovi¢, Predrag Periodic orbits as the skeleton of classical and quantum chaos. 
92k:58214 

Davis, Michael J. (with MacKay, R. S.; Sannami, Atsuro) Markov shifts in the Hénon 
family. 92g:58099 





58F Ordinary differential equations on manifolds; dynamical systems 


58F05 


Ding, Ming Zhou (with Grebogi, Celso; Ott, Edward; Yorke, James A.) Massive bifurcation 
of chaotic scattering. 92b:58142 

Ermentrout, George Bard see Kopell, N.; et al., 92m:34081 

Finardi, M. see Badii, R.; et al., (92f:00011) 

Flatto, Leopold see Adler, Roy L., 92b:58172 

Frank, G. W. see Corless, R. M.; et al., 92c:58074 

Galeeva, R. F. (with Chernov, N. I.) Conditions for the strict exponential growth of the 
number of cycles in countable directed graphs. (Russian) 92k:58215 

(Gallavotti, Giovanni) see Nonlinear evolution and chaotic phenomena, 92f:58003 

Ge, Yuzhen Scaling properties of the measure of constant topological entropy. 92¢:58062 

Giovannini, Franco (with Politi, Antonio) Generating partitions in Hénon-type maps. 
92k:58175 

Grebogi, Celso see Ding, Ming Zhou; et al., 92b:58142 

Hillman, David The structure of reversible one-dimensional cellular automata. 92f:68123 

Hofbauer, Franz (with Keller, Gerhard) Some remarks on recent results about S-unimodal 
maps. 92m:58077 

Horbacz, Katarzyna Invariant densities for one-dimensional random dynamical systems. 
92m:58073 

Ishitani, Hiroshi Perron-Frobenius operator and central limit theorem. 92e:58117 

Karawatzki, R. A practical algorithm for the determination of the positions of superstable 
cycles. 92e:58110 

Keller, Gerhard see Hofbauer, Franz, 92m:58077 

Khanin, K. M. (with Vul, E. B.) Circle homeomorphisms with weak discontinuities. 
92j:58089 

Kopell, N. (with Ermentrout, George Bard; Williams, T. L.) On chains of oscillators forced 
at one end. 92m:34081 

Kwiatkowski, Jan see Bulatek, Wojciech, 92k:54050 

Lind, Douglas Matrices of Perron numbers. 92m:11117 

Louck, J. D. see Bivins, R. L.; et al., 92j:58084 

Luan, Chang Fu Baker’s transformation and its irreversibility. 92i:58102 

Lyubich, M. Yu. see Blokh, A. M., 92d:58117 

MacKay, R.S. see Davis, Michael J.; et al., 92g:58099 

Mackey, Michael C. see Provatas, Nicholas, 92g:58073 

Mantica, Giorgio see Bessis, Daniel, 92c:58060 

Metropolis, N. see Bivins, R. L.; et al., 92j:58084 

Monroe, J.Graham see Corless, R. M.; et al., 92c:58074 

Moore, Cristopher Generalized shifts: unpredictability and undecidability in dynamical 
systems. 92c:03042 

Moreno, José Miguel see Alseda i Soler, Liuis, 92e:58106 

(Nazaikinskii, V. E.) see Khanin, K. M., 92j:58089 

Noienfel‘dt, I. Combinatorial type of a semi-higher periodic orbit. (Russian) 92j:54056 

Ornstein, Donald S. (with Weiss, Benjamin) Statistical properties of chaotic systems. 
92g:58112 

Osipenko, G.S. Testing the transversality condition by the methods of symbolic dynamics. 
(Russian) 92b:58122 

Ott, Edward see Ding, Ming Zhou; et al., 92b:58142 

Parry, William Notes on coding problems for finite state processes. 92¢:28016 

Politi, Antonio see Giovannini, Franco, 92k:58175 

Provatas, Nicholas (with Mackey, Michael C.) Noise-induced asymptotic periodicity in a 
piecewise linear map. 92g:58073 

Przytycki, Feliks (with Skrzypczak, Jan) Convergence and pre-images of limit points for 
coding trees for iterations of holomorphic maps. 92k:58231 

Radin, Charles Global order from local sources. 92¢:82007 

Rasetti, Mario G. see Agnes, Corrado, 92h:03066 

Richetti, P. see Argoul, F.; et al., 92f:80020 and (92m:58093) 

Rom-Kedar, Vered Transport rates of a class of two-dimensional maps and flows. 92b:58169 

Rudnicki, Ryszard On a one-dimensional analogue of the Smale horseshoe. 92e:58121 

Sannami, Atsuro see Davis, Michael J.; et al., 92g:58099 

Schori, Richard M. Chaos: an introduction to some topological aspects. 92f:58113 

Skrzypczak, Jan see Przytycki, Feliks, 92k:58231 

Stein, M. L. see Bivins, R. L.; et al., 92j:58084 

Steinlein, Heinrich (with Walther, Hans-Otto) Hyperbolic sets, transversal homoclinic 
trajectories, and symbolic dynamics for C'-maps in Banach spaces. 92b:58170 

Thibault, R. Some recent results obtained in Toulouse on dynamical systems. 92a:58077 

Tong, Howell (with Cheng, Bing) A note on one-dimensional chaotic maps under time 
reversal. 

Vargas, Edson Bifurcation frequency for unimodal maps. 92k:58160 

Vul, E. B. see Khanin, K. M., 92j:58089 

Walther, Hans-Otto see Steinlein, Heinrich, 92b:58170 

Weiss, Benjamin see Ornstein, Donald S., 92g:58112 

Williams, R. F. How big is the intersection of two thick Cantor sets? 92f:58116 

Williams, T. L. see Kopell, N.; et al., 92m:34081 

Yorke, James A. see Ding, Ming Zhou; et al., 92b:58142 

(Zweifel, Paul F.) see Nonlinear evolution and chaotic phenomena, 92f:58003 


Items listed otherwise than by author 
NATO Advanced Study Institute: 
Nonlinear Evolution and Chaotic Phenomena * Nonlinear evolution and chaotic 
phenomena. 92f:58003 
Nonlinear evolution and chaotic phenomena * Nonlinear evolution and chaotic phenomena. 
92£:58003 
Noto * Nonlinear evolution and chaotic phenomena. 92f:58003 


58F05 Hamiltonian and Lagrangian systems; symplectic 
geometry [see also 70Hxx, 81S10] 
Amick, Charles J. (with Toland, J. F.) Points of egress in problems of Hamiltonian 
dynamics. 92d:58061 
Anastasiei, Mihai (with Kawaguchi, Hiroaki) A geometrical theory of time dependent 
Lagrangians. III. Applications. 92m:58038 





58F05 


Anderson, Robert Leonard (with Hebda, Piotr W.; Rideau, Guy) Hamiltonian treatment of 
quasi-linear systems via a Bateman Lagrangian. 92k:58077 

Antonowicz, M. (with Fordy, Allan P.) Hamiltonian structure of nonlinear evolution 
equations. (see 92£:58090) 

Arms, Judith M. (with Gotay, Mark J.; Wilbour, Don C.) Zero levels of momentum 
mappings for cotangent actions. 92e:58066 

— (with Cushman, Richard H.; Gotay, Mark J.) A universal reduction procedure for 
Hamiltonian group actions. 92h:58059 

Athorne, Chris On generalized Ermakov systems. 92j:58030 

Avan, Jean (with Talon, Michel) Alternative Lax structures for the classical and quantum 
Neumann model. 92k:58078 

Baider, Alberto (with Churchill, Richard C.; Rod, David L.) Monodromy and nonintegra- 
bility in complex Hamiltonian systems. 92d:58062 

Bardin, B.S. Asymptotic solutions of Hamiltonian systems in the case of first-order 
resonance. (Russian) 92m:58039 

Barone, Fiorella (with Grassini, R.) Reduction and residuals of dynamical systems. 
92h:58060 

Bates, Larry M. An exotic symplectic R*. 92m:58040 

— Monodromy in the champagne bottle. 92j:58031 

— (with Sniatycki, Jedrzej) On the period-energy relation. 92£:58056 

Bazzani, Armando (with Remiddi, E.; Turchetti, Giorgio) Variational approach to the 
integrals of motion for symplectic maps. 92a:58042 

Benenti, Sergio On the orthogonality of the second class coordinates in the separation of the 
Hamilton-Jacobi equation. (Italian summary) 924:58063 

Bhaskara, K.H. (with Rama, K.) A note on Dirac brackets. 92a:58043 

— (with Rama, K.) Quadratic Poisson structures. 92h:58061 

Bialy, Misha On the number of caustics for invariant tori of Hamiltonian systems with two 
degrees of freedom. 92h:58062 

Bountis, Tassos (with Drossos, L.; Percival, lan C.) Nonintegrable systems with algebraic 
singularities in complex time. 92i:58056 

— (with Drossos, L.; Percival, lan C.) On nonintegrable systems with square root singulari- 
ties in complex time. 92h:58063 

Boyom, Michel Nguiffo B. Sur quelques questions de géométrie symplectique. (English 
summary) [On some questions of symplectic geometry] 92b:58065 

Brousseau, V. Espaces de Krein et index des systemes hamiltoniens. (English summary) 
[Krein spaces and the index of Hamiltonian systems] 92e:58067 

Bruschi, M. (with Ragnisco, O.; Santini, P. M.; Tu, Gui Zhang) Integrable symplectic maps. 
92g:58031 

Bryuno, A. D. On the question of stability in a Hamiltonian system. 92j:58032 

Carifiena, José F. (with Lopez Lacasta, Carlos; del Olmo, Mariano A.; Santander, Mariano) 
Conformal groups in the Kepler problem. (see 92g:81003) 

— (with Lépez Lacasta, Carlos; Martinez, Eduardo) Sections along a map applied to higher- 
order Lagrangian mechanics. Noether’s theorem. 92m:58041 

— (with Fernandez-Niiez, José; Martinez, Eduardo) A geometric approach to Noether’s 
second theorem in time-dependent Lagrangian mechanics. 92h:58064 

Carnevale, G. F. see Vallis, G. K.; et al., 92h:58075 

Casas, F. (with Oteo, J. A.; Ros, J.) Lie algebraic approach to Fer’s expansion for classical 
Hamiltonian systems. 92g:58032 

Channell, P. J. (with Scovel, J.C.) Integrators for Lie-Poisson dynamical systems. 
92g:58033 

Chaperon, Marc Recent results in symplectic geometry. 92m:58042 

— Lois de conservation et géométrie symplectique. (English summary) [Conservation laws 
and symplectic geometry] 92¢e:58068 

Cheng, Jian (with Wojtkowski, Maciej P.) Linear stability of a periodic orbit in the system 
of falling balls. 92h:58065 

Chinea, Domingo (with de Leon, Manuel; Marrero, Juan Carlos) Locally conformal 
cosymplectic manifolds and time-dependent Hamiltonian systems. 92k:58079 

Churchill, Richard C. see Baider, Alberto; et al., 92d:58062 

Courant, Ted Tangent Dirac structures. 92d:58064 

Crawford, John David see Ye, Huanchun; et al., 92g:58037 

Cushman, Richard H. see Arms, Judith M.; et al., 92h:58059 

Das, Ashok (with Huang, Wen-Jui) An alternate characterization of integrability. 
924:58065 

Dazord, Pierre (with Lichnerowicz, André; Marle, Charles-Michel) Structure locale des 
variétés de Jacobi. (English summary) [Local structure of Jacobi manifolds] 92a:58044 

Dedo, Maria (with Giachetti, Riccardo) The Lagrangian Grassmannian L(2). (Italian) 
92k:58080 

Derks, G. (with van Groesen, Embrecht; Valkering, Theo P.) Decay of coherent structures 
in damped Hamiltonian systems. 92j:58033 

Desolneux-Moulis, Nicole Singular Lagrangian foliation associated to an integrable 
Hamiltonian vector field. 92d:58066 

Drossos, L. see Bountis, Tassos; et al., 92h:58063 and 92i:58056 

Dufour, Jean-Paul (with Molino, Pierre) Compactification d’actions de R" et variables 
action-angle avec singularités. [Compactification of actions in R” and action-angle 
variables with singularities] 92b:58066 

— Hyperbolic actions of R? on Poisson manifolds. 92c:58029 

Echeverria Enriquez, A. (with Muiioz Lecanda, M. C.; Roman-Roy, Narciso) Geometrical 
setting of time-dependent regular systems. Alternative models. 92g:58034 

Eliashberg, Yakov Three lectures on symplectic topology in Cala Gonone. Basic notions, 
problems and some methods. 92f:58057 

— New invariants of open symplectic and contact manifolds. 92¢:58030 

Elskens, Yves (with Escande, D. F.) Slowly pulsating separatrices sweep homoclinic tangles 
where islands must be small: an extension of classical adiabatic theory. 92h:58066 

Ercolani, Nicholas M. (with Siggia, Eric D.) Painlevé property and integrability. 92c:58031 

Escande, D. F. see Elskens, Yves, 92h:58066 

Feng, Kang The Hamiltonian way for computing Hamiltonian dynamics. 92m:58043 

Fernandez-Niifiez, José see Cariiiena, José F.; et al., 92h:58064 

Ferrandiz Leal, José Manuel (with San Saturio Lapefia, Maria Eugenia) Some properties of 
canonical extensions. (Spanish) (see 92g:00025) 

Ferrario, Carlo (with Passerini, Arianna) Extended covariance for the Lagrange equations 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


of motion: a geometric analysis. 92h:58067 

Fomenko, A. T. (with Zieschang, Heiner) A topological invariant and a criterion for the 
equivalence of integrable Hamiltonian systems with two degrees of freedom. (Russian) 
92b:58067 

— A new topological invariant of topological Hamiltonian systems of differential equations 
and applications to problems in physics and mechanics. 92i:58057 

Fordy, Allan P. Hamiltonian structure of nonlinear evolution equations. 92i:58058 

— see also Antonowicz, M., (92f:58090) 

Froeschlé, Claude (with Gautero, J.-L.) Linear stability and connectance for high- 
dimensional Hamiltonian and non-Hamiltonian systems. 92c:58032 

Furutani, Kenré see Otsuki, Nobukazu, 92j:58037 

Gaida, R. P. (with Klyuchkovskii, Yu. B.; Tretyak, V. I.) A group-theoretic approach to the 
construction of relativistic Lagrangian mechanics of a system of particles. (Ukrainian. 
Russian summary) 92m:58044 

Gautero, J.-L. see Froeschlé, Claude, 92c:58032 

Ge, Zhong Generating functions, Hamilton-Jacobi equations and symplectic groupoids on 
Poisson manifolds. 92c:58033 

— Equivariant symplectic difference schemes and generating functions. 92h:58068 

Gelfreich, V.G. (with Lazutkin, V. F.; Tabanov, M. B.) Exponentially small splittings in 
Hamiltonian systems. 92i:58059 

Giachetti, Riccardo see Dedd, Maria, 92k:58080 

Golin, Simon (with Knauf, Andreas; Marmi, Stefano) Hannay angles: existence and 
geometrical interpretation. 92d:58067 

Gotay, Mark J. (with Tuynman, G. M.) A symplectic analogue of the Mostow-Palais 
theorem. 92b:58068 

— see also Arms, Judith M.; et al., 92e:58066 and 92h:58059 

Gracia, Xavier (with Pons, Josep M.) Constrained systems: a unified geometric approach. 
92b:58069 

Grassini, R. see Barone, Fiorella, 92h:58060 

Grigore, D. R. (with Popp, Octavian T.) Erratum: “The complete classification of 
generalized homogeneous symplectic manifolds” [J. Math. Phys. 30 (1989), no. 11, 2476- 
2483; MR 90i:58052]. 92a:58045 

van Groesen, Embrecht see Derks, G.; et al., 92j:58033 

Guckenheimer, John (with Mahalov, A.) Instability induced by symmetry reduction. 
92m:58045 

Guillemin, Victor (with Lerman, Eugene; Sternberg, Shlomo) On the Kostant multiplicity 
formula. 92£:58058 

— (with Prato, Elisa; Souza, Regina) Consequences of quasi-free. 92b:58070 

Hebda, Piotr W. see Anderson, Robert Leonard; et al., 92k:58077 

Henrard, Jacques (with Henrard, Marc) Slow crossing of a stochastic layer. 92i:58060 

Henrard, Marc see Henrard, Jacques, 92i:58060 

Herman, Michael-R. Exemples de flots hamiltoniens dont aucune perturbation en topologie 
C@ n’a d’orbites périodiques sur un ouvert de surfaces d’énergies. (English summary) 
[Examples of Hamiltonian flows such that no C™ perturbation has a periodic orbit on an 
open set of energy surfaces] 92j:58034 

— Différentiabilité optimale et contre-exemples a la fermeture en topologie C® des orbites 
récurrentes de flots hamiltoniens. (English summary) [Optimal differentiability and 
counterexamples to the C® closing lemma for Hamiltonian vector fields] 92m:58046 

Holm, Darryl D. (with Wolf, Kurt Bernardo) Lie-Poisson description of Hamiltonian ray 
optics. 92j:58035 

Huang, Wen-Jui see Das, Ashok, 92d:58065 

Ishikawa, Goo Maslov class of an isotropic map-germ arising from one-dimensional 
symplectic reduction. 92a:58046 

Ito, Hidekazu Action-angle coordinates at singularities for analytic integrable systems. 
92e:58069 

Kalashnikov, V. V., Jr. A geometric description of the Fomenko minimax invariants of 
integrable Hamiltonian systems on S?, RP?, S' x S?, T3. (Russian) 92k:58081 

Karkowski, J. Review of bifurcations in Yang-Mills mechanics. 92g:58035 

Kawaguchi, Hiroaki see Anastasiei, Mihai, 92m:58038 

Klapka, Lubomir Configuration in-out manifolds in mechanics. 92c:58034 

Klyuchkovskii, Yu. B. see Gaida, R. P.; et al., 92m:58044 

Knauf, Andreas see Golin, Simon; et al., 92d:58067 

Koiller, Jair A note on classical motions under strong constraints. 92c:58035 

Kovatié, Gregor Lobe area via action formalism in a class of Hamiltonian systems. 
92k:58082 

Kozlov, Valerii V. * Integrable and nonintegrable Hamiltonian systems. 92i:58061 

Krétzsch, Guillermo see Wolf, Kurt Bernardo, 92m:58050 

Kupershmidt, Boris A. Nonnegativity of mass and entropy in continuous dynamics. 
92:58059 

Lalonde, Francois (with Sikorav, Jean-Claude) Sous-variétés lagrangiennes et lagrangiennes 
exactes des fibrés cotangents. [Lagrangian and exact Lagrangian submanifolds of 
cotangent bundles] 92f:58060 

Landi, Giovanni (with Marmo, G.; Sparano, G.; Vilasi, G.) A generalized reduction 
procedure for dynamical systems. 92i:58062 

Lazutkin, V.F. see Gelfreich, V. G.; et al., 92i:58059 

de Leén, Manuel (with Rodrigues, Paulo R.) Almost contact structures and time-dependent 
Lagrangians. 92b:58071 

— see also Chinea, Domingo; et al., 92k:58079 

Lerman, Eugene see Guillemin, Victor; et al., 92f:58058 and Sjamaar, Reyer, 92g:58036 

Lewis, Debra (with Simo, Juan C.) A comparison of nonlinear stability analyses by energy 
methods. 92m:58047 

Li, Luen Chau (with Parmentier, Serge) Modified structures associated with Poisson Lie 
groups. 92h:58069 

Li, Zi Ping Noether’s identities in phase space and their applications. (Chinese. English 
summary) 92a:58047 

Lichnerowicz, André see Dazord, Pierre; et al., 92a:58044 

Livi, Roberto (with Ruffo, Stefano) Liapunov exponents in symplectic dynamics. 
92¢:58036 

Lépez Lacasta, Carlos see Cariiiena, José F.; et al., 92m:58041 and (92g:81003) 

La, Jiang-Hua Momentum mappings and reduction of Poisson actions. 92j:58036 





985 1992 


— (with Ratiu, T. S.) On the nonlinear convexity theorem of Kostant. 92a:58048 

Lasanna, Luca Constraint theory, singular Lagrangians and multitemporal dynamics. 
92e:58070 

— The second Noether theorem as the basis of the theory of singular Lagrangians and 
Hamiltonian constraints. 92c:58037 

Ma, Wen Xiu Some Hamiltonian operators in infinite-dimensional Hamiltonian systems. 
(Chinese. English summary) 92f:58061 

— Poisson manifolds and classical Hamiltonian operators. 92e:58071 

Mahalov, A. see Guckenheimer, John, 92m:58045 

Marle, Charles-Michel see Dazord, Pierre; et al., 92a:58044 

Marmi, Stefano see Golin, Simon; et al., 92d:58067 

Marmo, G. (with Rubano, C.) * Particle dynamics on fiber bundles. 92a:58049 

— see also Landi, Giovanni; et al., 92i:58062 

Marrero, Juan Carlos see Chinea, Domingo; et al., 92k:58079 

Marsden, J. E. (with O’Reilly, O. M.; Wicklin, F. J.; Zombro, B. W.) Symmetry, stability, 
geometric phases, and mechanical integrators. I. 92e:58072 

— (with Ratiu, T. S.; Raugel, Geneviéve) Symplectic connections and the linearisation of 
Hamiltonian systems. 92k:58083 

Martin, Geoffrey Almost Hermitian geometries that characterize Hamilton-Jacobi 
distributions. 92h:58070 

Martinez, Eduardo see Cariiiena, José F.; et al., 92h:58064; 92m:58041 and Sarlet, W., 
92m:58049 

Massa, Enrico (with Pagani, Enrico) Classical dynamics of nonholonomic systems: a 
geometric approach. (French summary) 92k:58084 

Mather, John N. Action minimizing invariant measures for positive definite Lagrangian 
systems. 92m:58048 

McDuff, Dusa * Applications of PDE methods by Gromov, Floer, and others to symplectic 
geometry. 92k:58085 

Medina, Alberto (with Revoy, Philippe) Groupes de Lie a structure symplectique 
invariante. [Lie groups with invariant symplectic structure] 92k:58086 

van der Merwe, P. du T. Solvable forms of a generalized Hénon-Heiles system. 92¢:58073 

Mimura, Fumitake (with Néno, Takayuki) Alternative approach to the inverse problem of 
Lagrangian dynamics. 92k:58087 

Mitra, Parthasarathi (with Rajaraman, R.) New results on systems with second-class 
constraints. 92a:58050 

— (with Rajaraman, R.) Gauge-invariant reformulation of theories with second-class 
constraints. 92f:58062 

Moauro, Vinicio (with Negrini, Piero; Oliva, Waldyr Muniz) Analytic integrability for a 
class of cone potential Hamiltonian systems. 92b:58072 

Molino, Pierre see Dufour, Jean-Paul, 92b:58066 

Montgomery, Richard How much does the rigid body rotate? A Berry’s phase from the 18th 
century. 92e:58074 

Morrison, P. J. see Ye, Huanchun; et al., 92g:58037 

Muller, Marie-Paule Une structure symplectique sur R® avec une sphére lagrangienne 
plongée et un champ de Liouville complet. [A symplectic structure in R® with an 
embedded Lagrangian sphere and a complete Liouville field] 92c:58038 

Muiioz Lecanda, M. C. see Echeverria Enriquez, A.; et al., 92g:58034 

Nakanishi, Nobutada On the structure of infinitesimal automorphisms of linear Poisson 
manifolds. I, II. 92b:58073 

Negrini, Piero see Moauro, Vinicio; et al., 92b:58072 

Nono, Takayuki see Mimura, Fumitake, 92k:58087 

Oh, Yong-Geun A symplectic fixed point theorem on T?" x CP‘. 92b:58074 

Okuneva, G. G. Integration of Hamiltonian systems on an isolated isoenergetic surface. 
(Russian) 92h:58071 

Oliva, Waldyr Muniz see Moauro, Vinicio; et al., 92b:58072 

del Olmo, Mariano A. see Cariiiena, José F.; et al., (92g:81003) 

O'Reilly, O. M. see Marsden, J. E.; et al., 92e:58072 

Oteo, J. A. see Casas, F.; et al., 92g:58032 

Otsuki, Nobukazu (with Furutani, Kenré) Spectral flow and Maslov index arising from 
Lagrangian intersections. 92j:58037 

Oueldguejdi, Abdellah Prolongement des morphismes d’algébres différentielles réguliéres 
et systémes lagrangiens. (English summary) [Prolongation of morphisms of regular 
differential algebras and Lagrangian systems] 92a:58051 

Pagani, Enrico see Massa, Enrico, 92k:58084 

Parasyuk, I.O. Co-isotropic invariant tori of a natural system on a three-dimensional torus 
located in a gyroscopic force field. (Russian) 92f:58063 

— Co-isotropic invariant tori of Hamiltonian systems in the quasiclassical theory of the 
motion of a conduction electron. (Russian. Ukrainian summary) 92b:58075 

Parmentier, Serge see Li, Luen Chau, 92h:58069 

Passerini, Arianna see Ferrario, Carlo, 92h:58067 

Percival, Ian C. see Bountis, Tassos; et al., 92h:58063 and 92i:58056 

Pons, Josep M. see Gracia, Xavier, 92b:58069 

Popp, Octavian T. see Grigore, D. R., 92a:58045 

Prato, Elisa see Guillemin, Victor; et al., 92b:58070 

Rabinowitz, Paul H. (with Tanaka, Kazunaga) Some results on connecting orbits for a class 
of Hamiltonian systems. 92e:58075 

Ragnisco, O. see Bruschi, M.; et al., 92g:58031 

Rajaraman, R. see Mitra, Parthasarathi, 92a:58050 and 92f:58062 

Rama, K. see Bhaskara, K. H., 92a:58043 and 92h:58061 

Rampazzo, Franco On the Riemannian structure of a Lagrangian system and the problem of 
adding time-dependent constraints as controls. 92j:58038 

Raiada, Manuel F. Extended tangent bundle formalism for time-dependent Lagrangian 
systems. 92¢e:58076 

Ratiu, T.S. see Lu, Jiang-Hua, 92a:58048 and Marsden, J. E.; et al., 92k:58083 

Rauch-Wojciechowski, Stefan Hamiltonian structures and complete integrability in 
analytical mechanics. (see 92f:58090) 

Raugel, Genevieve see Marsden, J. E.; et al., 92k:58083 

Remiddi, E. see Bazzani, Armando; et al., 92a:58042 

Revenko, I. V. Hamiltonian systems: symmetry, integrals of motion, Lax representation. 
(Russian) (see 92b:35011) 


58F Ordinary differential equations on manifolds; dynamical systems 


Revoy, Philippe see Medina, Alberto, 92k:58086 

Rideau, Guy see Anderson, Robert Leonard; et al., 92k:58077 

Rieffel, Marc A. Lie group convolution algebras as deformation quantizations of linear 
Poisson structures. 92b:58076 

Rod, David L. see Baider, Alberto; et al., 92d:58062 

Rodrigues, Paulo R. see de Leén, Manuel, 92b:58071 

Rodriguez Sanchez, Gerardo Invariant Lagrangians in higher-order mechanics. (Spanish) 
(see 92g:00024) 

Roman-Roy, Narciso Symplectic and nonsymplectic realizations of groups for singular 
systems. An example. 92e:58077 

— see also Echeverria Enriquez, A.; et al., 92g:58034 

Ros, J. see Casas, F.; et al., 92g:58032 

Rubano, C. see Marmo, G., 92a:58049 

Ruffo, Stefano see Livi, Roberto, 92c:58036 

San Saturio Lapefia, Maria Eugenia see Ferrandiz Leal, José Manuel, (92g:00025) 

Santander, Mariano see Carifiena, José F.; et al., (92g:81003) 

Santini, P.M. see Bruschi, M.; et al., 92g:58031 

Sarlet, W. (with Martinez, Eduardo) Derivations of semi-basic forms and symmetries of 
second-order equations. 92m:58049 

— New aspects of integrability of generalized Hénon-Heiles systems. 92h:58072 

Scovel, Clint On symplectic lattice maps. 92i:58063 

Scovel, J.C. see Channell, P. J., 92g:58033 

Seredytiska, Malgorzata Lie-Poisson equations in elasticity. 92c:58039 

Shadwick, William F. On geometric formulations of higher order mechanics. 92h:58073 

Shepherd, T. G. see Vallis, G. K.; et al., 92h:58075 

Siggia, Eric D. see Ercolani, Nicholas M., 92c:58031 

Sikorav, Jean-Claude see Lalonde, Francois, 92f:58060 

Simo, Juan C. see Lewis, Debra, 92m:58047 

Sjamaar, Reyer (with Lerman, Eugene) Stratified symplectic spaces and reduction. 
92g:58036 

Sniatycki, Jedrzej On reduction of almost regular momentum maps. 924:58068 

— see also Bates, Larry M., 92:58056 

Souza, Regina see Guillemin, Victor; et al., 92b:58070 

Sparano, G. see Landi, Giovanni; et al., 92i:58062 

Sternberg, Shlomo see Guillemin, Victor; et al., 92f:58058 

Strelcyn, Jean-Marie The “coexistence problem” for conservative dynamical systems: a 
review. 92k:58088 

Tabanov, M. B. see Gelfreich, V. G.; et al., 92i:58059 

Talon, Michel see Avan, Jean, 92k:58078 

Tanaka, Kazunaga see Rabinowitz, Paul H., 92e:58075 

Toland, J. F. see Amick, Charles J., 92d:58061 

Tretyak, V.I. see Gaida, R. P.; et al., 92m:58044 

Tu, Gui Zhang see Bruschi, M.; et al., 92g:58031 

Turchetti, Giorgio see Bazzani, Armando; et al., 92a:58042 

Turski, Lukasz A. Metriplectic dynamics of complex systems—a new paradigm, or the old 
approach in a new guise? 92b:58077 

Tuynman, G. M. see Gotay, Mark J., 92b:58068 

Tzanakis, C. Liouville’s theorem and the definition of volume on the tangent bundle of 
space-time. 92h:58074 

Ukhovskii, M. R. On the impossibility of extending a three-dimensional simple group 
admitted by a Hamiltonian system. (Russian) 92c¢:58040 

Vaisman, Izu The Maslov class in a Riemannian phase space. 92k:58089 

Valkering, Theo P. see Derks, G.; et al., 92j:58033 

Vallis, G. K. (with Carnevale, G. F.; Shepherd, T. G.) A natural method for finding stable 
states of Hamiltonian systems. 92h:58075 

Vilasi, G. see Landi, Giovanni; et al., 92i:58062 

Viterbo, Claude Une infinité de tores lagrangiens distincts ayant mémes “invariants 
classiques”. (English summary) [Infinitely many inequivalent Lagrange tori with the same 
classical invariants] 92a:58052 

— Plongements lagrangiens et capacités symplectiques de tores dans R2”. (English summary) 
[The symplectic capacity of Lagrangian tori in R?"] 92c:58041 

— An introduction to symplectic topology. (see 92d:35009) 

Vittot, Michel Birkhoff expansions in Hamiltonian mechanics: a simplification of the 
combinatorics. 92j:58039 

Weinstein, Alan Affine Poisson structures. 92d:58069 

Wicklin, F. J. see Marsden, J. E.; et al., 92e:58072 

Wiggins, Stephen On the geometry of transport in phase space. I. Transport in k-degree-of- 
freedom Hamiltonian systems, 2 < k < co. 92d:58070 

Wilbour, Don C. see Arms, Judith M.; et al., 92e:58066 

Wildberger, N. J. The moment map of a Lie group representation. 92f:58064 

Wojtkowski, Maciej P. see Cheng, Jian, 92h:58065 

Wolf, Kurt Bernardo (with Krétzsch, Guillermo) Group-classified polynomials of phase 
space in higher-order aberration expansions. 92m:58050 

— see also Holm, Darryl D., 92j:58035 

Wa, Yu Hua? Symplectic transformation and symplectic difference schemes. 92e:58078 

— A note on the stability of two-level symplectic schemes. 92f:58065 

Ye, Huanchun (with Morrison, P. J.; Crawford, John David) Poisson bracket for the Vlasov 
equation on a symplectic leaf. 92g:58037 

Yoshida, Haruo Nonexistence of an additional integral in Hamiltonian systems with an N- 
dimensional homogeneous potential. 92a:58053 

Zakalyukin, V.M. Generating ideals of Lagrangian varieties. 92g:58038 

Zakharov, V. E. On the Lie algebra of motion integrals for two-dimensional hydrodynamic 
equations in Clebsh [Clebsch] variables. 92f:58066 

Zakrzewski, Stanislaw Hamiltonian group representations and phase actions. 92f:58067 

Zieschang, Heiner see Fomenko, A. T., 92b:58067 

Ziglin, S. L. On polynomial first integrals of Hamiltonian systems with exponential 
interaction. (Russian) 92k:58090 

Zombro, B. W. see Marsden, J. E.; et al., 92e:58072 





58F05 


Items with secondary classifications in 58F05 


Abia, L. see Sanz-Serna, J. M., 92e:65103 

Adams, Malcolm R. (with Anderson, Robert Leonard; Varley, Robert) Remarks on 
integrable hierarchies in finite dimensions. 92i:58069 

— (with Harnad, J.; Hurtubise, Jacques) Isospectral Hamiltonian flows in finite and infinite 
dimensions. II. Integration of flows. 92a:58055 

— (with McCrory, Clint; Shifrin, Theodore; Varley, Robert) Symmetric Lagrangian 
singularities and Gauss maps of theta divisors. 92j:14033 

— (with Harnad, J.; Hurtubise, Jacques) Coadjoint orbits, spectral curves and Darboux 
coordinates. 92k:58095 

Agrachév, A. A. (with Gamkrelidze, R. V.) Symplectic geometry and necessary conditions 
for optimality. (Russian) 92b:49036 

Aguirre, Manuel (with Krause, Jorge) General transformation theory of Lagrangian 
mechanics and the Lagrange group. 92m:70029 

Albanese, Claudio (with Frohlich, Jiirg) Perturbation theory for periodic orbits in a class of 
infinite-dimensional Hamiltonian systems. 92i:58149 

Albert, Claude (with Dazord, Pierre) Groupoides de Lie et groupoides symplectiques. [Lie 
groupoids and symplectic groupoids] 92m:58155 

— Sur le feuilletage caractéristique des groupoides de Poisson. (English summary) [The 
characteristic foliation of Poisson groupoids] 92j:58117 

Anderson, Robert Leonard see Adams, Malcolm R.; et al., 92i:58069 

Andrade, R. F.S. see Rauh, A.; et al., 92f:58158 

de Andrés, Luis C. (with de Leén, Manuel; Rodrigues, Paulo R.) Connections on tangent 
bundles of higher order associated to regular Lagrangians. 92g:53018 

Atkin, C. J. (with Grabowski, Janusz) Homomorphisms of the Lie algebras associated with 
a symplectic manifold. 92h:17023 

Audin, Michtle * The topology of torus actions on symplectic manifolds. 92m:57046 

Bates, Larry M. (with Peschke, Georg) A remarkable symplectic structure. 92e:53040 

Bazzani, Armando (with Marmi, Stefano; Turchetti, Giorgio) Nekhoroshev estimate for 
isochronous nonresonant symplectic maps. 92b:58207 

— (with Marmi, Stefano) First integrals and stability estimates for isochronous nonresonant 
symplectic maps. 924:58095 

Beig, R. Classical geometry of bosonic string dynamics. 92f:81131 

Beirao da Veiga, H. Periodic solutions for a class of autonomous Hamiltonian systems. 
92c¢:58112 

Benci, Vieri (with Giannoni, Fabio) Homoclinic orbits on compact manifolds. 92h:58150 

Benettin, Giancarlo Nekhoroshev-like results for Hamiltonian dynamical systems. (see 
92£:58003) 

Bengtsson, Johan see Forest, Etienne; et al., 92f:70013 

Bennequin, Daniel Topologie symplectique, convexité holomorphe et structures de contact 
(d’aprés Y. Eliashberg, D. McDuff et al.). [Symplectic topology, holomorphic convexity 
and contact structures (after Y. Eliashberg, D. McDuff et al.)] 92j:32065 

Beris, A. N. see Edwards, B. J., 92c:73016 

Bershadskii, M. A. Conformal field theories via Hamiltonian reduction. 92f:81162 

Blau, Matthias Chern-Simons quantum mechanics, supersymmetry, and symplectic 
invariants. 92j:22037 

Blazquez, C. (with Llosa, J.) Classical relativistic particles with spin. 92f:83004 

Bloch, Anthony M. Steepest descent, linear programming, and Hamiltonian flows. 
92d:58073 

Blot, Joél Une méthode hilbertienne pour les trajectoires presque-périodiques. (English 
summary) [A Hilbert method for the almost periodic trajectories] 92g:58027 

Bolsinov, A. V. Methods of calculation of the Fomenko-Zieschang invariant. 92m:58053 

— Commutative families of functions related to consistent Poisson brackets. 92k:58102 

— Compatible Poisson brackets on Lie algebras and the completeness of families of 
functions in involution. (Russian) 92i:17028 

Borowiec, Andrzej Remarks on globalization of the Lagrangian formalism. 92d:58051 

Boucetta, Mohamed Géometrie globale des systémes hamiltoniens complétement intégrables 
et variables action-angle avec singularités. [Global geometry of completely integrable 
Hamiltonian systems and action-angle variables with singularities] 92m:58054 

Bouquet, Serge see Lewis, H. Ralph; et al., 92m:70027 

Broer, H. W. (with Huitema, G. B.) A proof of the isoenergetic KAM-theorem from the 
“ordinary” one. 92a:58117 

— (with Vegter, Gert) Bifurcational aspects of parametric resonance. 92m:58096 

Bryuno, A. D. Normal form of a system that is close to Hamiltonian. (Russian) 92e:58187 

Burdet, G. (with Perrin, Martine Jacqueline) Proposition de structures géométriques 
“amplifiées” pour le traitement des syst¢mes de points matériels. (English summary) [A 
proposal for “amplified” geometric structures for the treatment of material-point systems] 
92¢:22045 

Buric, Nikola (with Percival, lan C.) Modular smoothing and finite perturbation theory. 
92g:70014 

Caboz, Régis (with Ravoson, Vincent; Gavrilov, Ljubomir) Bi-Hamiltonian structure of an 
integrable Hénon-Heiles system. 924:58074 

Canino, Annamaria Periodic solutions of Lagrangian systems on manifolds with boundary. 
92a:58026 

Cantrijn, Frans (with Ibort, Luis Alberto) Reduction of Poisson supermanifolds. (French 
summary) 92b:58013 

Capozzi, Alberto (with Solimini, Sergio; Terracini, Susanna) On a class of dynamical 
systems with singular potential. 92f:58145 

Celletti, Alessandra (with Chierchia, Luigi) A computer-assisted approach to small-divisors 
problems arising in Hamiltonian mechanics. 92g:58111 

— (with Chierchia, Luigi) Invariant curves for area-preserving twist maps far from 
integrable. 92i:58154 

Cerruti-Sola, Monica see Pettini, Marco, (92h:65011) 

Cerveré, José M. (with Lejarreta, Juan D.) Ermakov Hamiltonians. 92c:81030 

Chekanov, N. A. (with Gonchar, V. Yu.; Markovskii, B. L.; Vinitskii, S. I.) #%* Normal form 
and approximate integrals of two-dimensional Hamiltonian systems. 92k:58244 

Chen, Deng Yuan see Zeng, Yun Bo; et al., 92k:35270 

Chen, Qi Keith (with Dana, I.; Meiss, J. D.; Murray, N. W.; Percival, Ian C.) Resonances 
and transport in the sawtooth map. 92¢:58073 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 986 


Chernov, N.I. The ergodicity of a Hamiltonian system of two particles in an external field. 
92i:58100 

Chierchia, Luigi An effective theory of KAM surfaces. 92c:58122 

— A direct method for constructing solutions of the Hamilton-Jacobi equation. (Italian 
summary) 92d:58172 

— Birth and death of invariant tori for Hamiltonian systems. 92f:58155 

— see also Celietti, Alessandra, 92g:58111 and 92i:58154 

Churchill, Richard C. (with Rod, David L.) On the determination of Ziglin monodromy 
groups. 92m:32038 

Cortizo, S. F. Classical mechanics—on the deduction of Lagrange’s equations. 92k:70023 

Damour, Thibault (with Schafer, Gerhard) Redefinition of position variables and the 
reduction of higher-order Lagrangians. 92b:70025 

Dana, I. see Chen, Qi Keith; et al., 92c:58073 

Davyskib, A. N. On a Hamiltonian system. (Russian) 92k:70017 

Dazord, Pierre (with Hector, Gilbert) Intégration symplectique des variétés de Poisson 
totalement asphériques. (English summary) [Symplectic integration of totally aspherical 
Poisson manifolds] 92k:58281 

— (with Sondaz, Daniel) Groupes de Poisson affines. [Affine Poisson groups] 92k:58282 

— (with Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan) Affinoides de Poisson. (English 
summary) [Affinoid Poisson structures] 92j:58116 

— Sur la géométrie des asservissements. (English summary) [On the geometry of control 
mechanisms] 92m:58122 

— see also Albert, Claude, 92m:58155 

De Filippo, Sergio (with Landi, Giovanni; Marmo, G.; Vilasi, G.) An algebraic characteri- 
zation of complete integrability for Hamiltonian systems. 92m:58057 

Deift, Percy (with Demmel, James; Li, Luen Chau; Tomei, Carlos) The bidiagonal singular 
value decomposition and Hamiltonian mechanics. 92i:65071 

Delgado Fernandez, J. (with Pérez-Chavela, E.) The rhomboidal four body problem. Global 
flow on the total collision manifold. 92f:70008 

Delzant, Thomas Classification des actions hamiltoniennes complétement intégrables de 
rang deux. [Classification of completely integrable Hamiltonian actions of rank two] 
92£:58078 

Demmel, James see Deift, Percy; et al., 92i:65071 

Derks, G. (with Valkering, Theo P.) Approximation in a damped Hamiltonian system by 
successive relative equilibria. 92m:70025 

— see also Valkering, Theo P.; et al., 92g:70015 

Dewar, R. L. see Meiss, J. D., 92b:58206 

Diaz Miranda, Antonio Nondegenerate homogeneous Pfaff systems. (Spanish) 92k:58010 

Dickey, L. A. Field theoretical (multi-time) Hamiltonian formalism and its application to 
integrable systems. 92h:58083 

Dolan, Brian P. BRST symmetry and quantum mechanics on homogeneous spaces. 
92b:81095 

(Donato, Paul) see Symplectic geometry and mathematical physics, 92k:58004 

Donnay, Victor (with Liverani, Carlangelo) Potentials on the two-torus for which the 
Hamiltonian flow is ergodic. 92a:58082 

Dressayre-Nourrigat, Michele Structures symplectiques exotiques sur R‘ (d’aprés L. Bates et 
G. Peschke). (English summary) [Exotic symplectic structures in R‘ (after L. Bates and G. 
Peschke)] 92i:53027 

Duarte, L.G.S. (with Moreira, I. C.; Euler, N.; Steeb, Willi-Hans) Invertible point 
transformations, Lie symmetries and the Painlevé test for the equation ¥ + f,(t)x + 
So(t)x + fa(t)x" = 0. 92d:58187 

Dufour, Jean-Paul (with Haraki, Abdeljalil) Rotationnels et structures de Poisson 
quadratiques. (English summary) [Vector-field curls and quadratic Poisson structures] 
92a:53045 

Duval, Christian (with Elhadad, J.; Gotay, Mark J.; Tuynman, G. M.) Nonunimodularity 
and the quantization of the pseudo-rigid body. 92e:58079 

— (with Gibbons, Gary; Horvathy, Péter) Celestial mechanics, conformal structures, and 
gravitational waves. 92i:70021 

— see also Symplectic geometry and mathematical physics, 92k:58004 

Duval, Julien Une contrainte géométrique pour certaines sous-variétés rationnellement 
convexes. [A geometric constraint for some rationally convex subvarieties] 92g:32030 

Edwards, B. J. (with Beris, A. N.) Noncanonical Poisson bracket for nonlinear elasticity 
with extensions to viscoelasticity. 92¢:73016 

Eirola, T. (with Sanz-Serna, J. M.) Conservation of integrals and symplectic structure in the 
integration of differential equations by multistep methods. 92m:65090 

ElBialy, Mohamed Sami Collision singularities in celestial mechanics. 92b:70009 

Elhadad, J. see Duval, Christian; et al., 92e:58079 and Symplectic geometry and mathemati- 
cal physics, 92k:58004 

Eliashberg, Yakov (with Ratiu, T.S.) The diameter of the symplectomorphism group is 
infinite. 92a:58018 

— On symplectic manifolds with some contact properties. 92g:57036 

Eliasson, L.H. Hamiltonian systems with linear normal form near an invariant torus. 
92£:58156 

Ercolani, Nicholas M. (with McLaughlin, David W.) Toward a topological classification of 
integrable PDEs. 92f:58135 

Escande, D. F. Structure of homoclinic tangles in Hamiltonian systems. 92¢:58077 

Euler, N. see Duarte, L. G. S.; et al., 92d:58187 

Fairlie, D. B. Remarks on a paper of P. J. Olver: “Hyper-Jacobians, determinantal ideals 
and weak solutions to variational problems” [Proc. Roy. Soc. Edinburgh Sect. A 95 
(1983), no. 3-4, 317-340; MR 85c:58040]. 92i:58049 

Fan, Xian Ling (with Wang, Bi Xiang) Remarks on periodic solutions of prescribed energy 
for singular Hamiltonian systems. 92i:58150 

Fei, Shao Ming (with Guo, Han Ying) Symplectic geometry of SU,,,.0(2) and SU,,x(2) 
algebras. 92g:81083 

Feix, Marc R. see Lewis, H. Ralph; et al., 92m:70027 

Feng, Kang (with Wu, Hua Mo; Qin, Meng Zhao) Symplectic difference schemes for linear 
Hamiltonian canonical systems. 92j:65124 

— (with Qin, Meng Zhao) Hamiltonian algorithms for Hamiltonian systems and a 
comparative numerical study. 92¢:65104 

— (with Qin, Meng Zhao) Hamiltonian algorithms for Hamiltonian dynamical systems. 





987 1992 


Feng, Zaichun (with Sethna, P. R.) Global bifurcation and chaos in parametrically forced 
systems with one-one resonance. 92b:58158 

Ferapontov, E. V. Hamiltonian systems of hydrodynamic type and their realizations on 
hypersurfaces of a pseudo-Euclidean space. (Russian) 92f:58159 

Fernandez, Marisa Luisa (with Gray, Alfred; Morgan, John Willard) Compact symplectic 
manifolds with free circle actions, and Massey products. 92e:57049 

Finkler, Paul (with Jones, C. Edward; Sowell, Glenn A.) Construction of a quasiconserved 
quantity in the Hénon-Heiles problem using a single set of variables. 92h:70015 

Fomenko, A. T. (with Sharko, V. V.) Exact round Morse functions, inequalities of Morse 
type and integrals of Hamiltonian systems [in Global analysis and nonlinear equations 
(Russian), 92-107, Voronezh. Gos. Univ., Voronezh, 1988; MR 91c:58018]. (see 
92b:58001) 

— Theory of rough classification of integrable nondegenerate Hamiltonian differential 
equations on four-dimensional manifolds. Application to classical mechanics. 92k:58107 

— see also Nguyen Tien Zung, 92h:58088 

Forest, Etienne (with Bengtsson, Johan; Reusch, Michael F.) Application of the Yoshida- 
Ruth techniques to implicit integration and multi-map explicit integration. 92f:70013 

Forger, Michael (with Kellendonk, Johannes) Classical BRST cohomology and invariant 
functions on constraint manifolds. I. 92k:17035 

Francoise, J.-P. (with Guillemin, Victor) On the period spectrum of a symplectic mapping. 
92j:58083 

— Systémes integrables 4 m-corps sur la droite. [Integrable m-body systems on the line] 
92h:58085 

Frescura, F. A.M. (with Lubczonok, G.) Associated symplectic and co-symplectic 
structures. 92b:58078 

Frohlich, Jirg see Albanese, Claudio, 92i:58149 

Gadella, Manuel (with Martin, Miguel Angel; Nieto, Luis M.; del Olmo, Mariano A.) The 
Stratonovich-Weyl correspondence for one-dimensional kinematical groups. 92m:81125 

Galperin, A. S. (with Ogievetskii, V. I.) N = 2, D=4 supersymmetric o-models and 
Hamiltonian mechanics. 92i:81320 

Gamkrelidze, R. V. see Agrachév, A. A., 92b:49036 

Gatto, Letterio An introduction to hypersymplectic vector spaces. (Italian summary) 
92m:15020 

Gavrilov, Ljubomir see Caboz, Régis; et al., 92d:58074 

Geng, Xian Guo A quintic Hamiltonian system that generates the reflectionless potential of 
the Jaulent-Miodek equation. (Chinese) 924:35277 

Giannoni, Fabio see Benci, Vieri, 92h:58150 

Gibbons, Gary see Duval, Christian; et al., 92i:70021 

Ginzburg, Viktor L. (with Weinstein, Alan) Lie-Poisson structure on some Poisson Lie 
groups. 92h:17022 

Giorgilli, Antonio Recent developments in perturbation theory of classical Hamiltonian 
systems. 92c:58127 

Girardi, Mario (with Matzeu, Michele) Convergence results for periodic solutions of 
nonautonomous Hamiltonian systems. (Italian summary) 924:58169 

— (with Matzeu, Michele) Dual Morse index estimates for periodic solutions of Hamilton- 
ian systems in some nonconvex superquadratic cases. 92k:58224 

Goldman, William M. The symplectic geometry of affine connections on surfaces. 
92a:58022 

Golé, Christophe Monotone maps of T” x R" and their periodic orbits. 92k:58216 

Golec-Biernat, K. (with Ruijgrok, Th. W.) Integrable Hamiltonian system in 2N dimen- 
sions. 92¢:58046 

Gonchar, V. Yu. see Chekanov, N. A.; et al., 92k:58244 

Gotay, Mark J. A multisymplectic framework for classical field theory and the calculus of 
variations. I. Covariant Hamiltonian formalism. 92c¢:58023 

— see also Duval, Christian; et al., 92e:58079 

Goidziewski, Krzysztof see Maciejewski, Andrzej J., 92j:58093 

Grabowski, Janusz see Atkin, C. J., 92h:17023 

Gray, Alfred see Fernandez, Marisa Luisa; et al., 92e:57049 

Greenspan, Donald see Marciniak, Andrzej, 92h:65189 

van Groesen, Embrecht see Valkering, Theo P.; et al., 92g:70015 

Guillemin, Victor (with Uribe, Alejandro) Reduction and the trace formula. 92h:58191 

— see also Francoise, J.-P., 92j:58083 

Guo, Han Ying see Fei, Shao Ming, 92g:81083 

Gzyl, Henryk * Hamiltonian flows and evolution semigroups. 92a:58054 

Haraki, Abdeljalil see Dufour, Jean-Paul, 92a:53045 

Harnad, J. Uses of infinite-dimensional moment maps. (see 92f:81008) 

— Hamiltonian group actions on super loop spaces. 92k:22036 

— (with Hurtubise, Jacques) Generalized tops and moment maps to loop algebras. 
92m:58060 

— see also Adams, Malcolm R.; et al., 92a:58055 and 92k:58095 

Hartley, David (with Tucker, Robin W.; Tuckey, Philip A.) Constrained dynamics and 
exterior differential systems. 92j:58002 

Hebda, Piotr W. Treatment of higher-order Lagrangians via the construction of dynamically 
equivalent first-order Lagrangians. 92d:70017 

Hector, Gilbert see Dazord, Pierre, 92k:58281 

Henderson, M. E. (with Levi, Mark L.; Odeh, F.) The geometry and computation of the 
dynamics of coupled pendula. 92g:34045 

Hernando, J. A. see Stolovitzky, G., 92a:58119 

Holm, Darryl D. Hamiltonian structure and stability analysis. 92k:58141 

— (with Kovaéié, Gregor) Homoclinic chaos for ray optics in a fiber. 92h:78002 

Horvathy, Péter see Duval, Christian; et al., 92i:70021 

Huebschmann, Johannes Poisson cohomology and quantization. 92e:17027 

Huitema, G. B. see Broer, H. W., 92a:58117 

Hurtubise, Jacques see Adams, Malcolm R.; et al., 92a:58055; 92k:58095 and Harnad, J., 
92m:58060 

Ibort, Luis Alberto (with Marin Solano, J.) On the inverse problem of the calculus of 
variations for a class of coupled dynamical systems. 92i:49057 

— see also Cantrijn, Frans, 92b:58013 

Ichtiaroglou, S. (with Voyatzis,G.) Integrable potentials with logarithmic integrals of 
motion. 92e:70005 


58F Ordinary differential equations on manifolds; dynamical systems 


58F05 


Iglésias, Patrick Les SO(3)-variétés symplectiques et leur classification en dimension 4. 
(English summary) [Symplectic SO(3)-manifolds and their classification in dimension 4] 
92i:57023 

Ito, Hidekazu On the holonomy group associated with analytic continuations of solutions 
for integrable systems. 92m:58063 

Iwasaki, Katsunori (with Kimura, Hironobu; Shimomura, Shun; Yoshida, Masaaki) 

* From Gauss to Painlevé. 92j:33001 

Jaén, X. (with Jauregui, R.; Llosa, J.; Molina, A.) Canonical formalism for path-dependent 
Lagrangians. Coupling constant expansions. 92b:70018 

Janeczko, Stanislaw (with Stewart, lan N.) Symplectic singularities and optical diffraction. 
92k:58032 

— Singularities of Lagrangian varieties and related topics. 92m:58013 

Jéuregui, R. see Jaén, X.; et al., 92b:70018 

Jones, C. Edward see Finkler, Paul; et al., 92h:70015 

Kalashnikov, V. V., Jr. Description of the structure of Fomenko invariants on the boundary 
and inside Q-domains, estimates of their number on the lower boundary for the manifolds 
S3, RP3, S' x S?, and T3. 92m:57032 

Kaper, Tasse J. (with Wiggins, Stephen) Lobe area in adiabatic Hamiltonian systems. 

58078 


Kellendonk, Johannes see Forger, Michael, 92k:17035 

Keski-Vakkuri, E. (with Niemi, Antti J.; Semenoff, Gordon W.; Tirkkonen, O.) Topological 
quantum theories and integrable models. 92k:58046 

Khudaverdyan, O.M. Geometry of superspace with even and odd brackets. 92h:58014a 

— (with Nersessian, A. P.) Canonical Poisson brackets of different gradings and strange 
superalgebras. 92h:58014b 

Kimura, Hironobu see Iwasaki, Katsunori; et al., 92j:33001 

Kirgetova, S. V. Some problems in the theory of perturbations of Hamiltonian systems with 
the Hamiltonian in the form of a trigonometric polynomial. (Russian) 92b:70020 

Koiller, Jair Mel’nikov formulas for nearly integrable Hamiltonian systems. 924:58179 

Kolokol'tsov, V. N. The Maslov index in infinite-dimensional symplectic geometry. 
(Russian) 92k:58020 


wy, Sah 2 





h, Yvette Champs affines de multi sur les group 
(English summary) [Affine multivector fields on Lie groups] 92d:17023 

Kossowski, Marek Local existence of multivalued solutions to analytic symplectic Monge- 
Ampére equations (the nondegenerate and type changing cases). 92h:58202 

— PDE admitting Lagrangian solutions with nontrivial homotopy invariants (z-degree, 
polarization index, Maslov period). 92f:58202 

Kougias, Ch. F. see Rauh, A.; et al., 92f:58158 

Kovatié, Gregor see Holm, Darry! D., 92h:78002 

Krause, Jorge see Aguirre, Manuel, 92m:70029 

Kronheimer, Peter B. A hyper-K4hlerian structure on coadjoint orbits of a semisimple 
complex group. 92b:53031 

Kuroda, Yuhji On the Casimir invariant of Hamiltonian fluid mechanics. 92b:76001 

Lacomba, Ernesto A. (with Llibre, Jaume; Nunes, Ana) Invariant tori and cylinders for a 
class of perturbed Hamiltonian systems. 92i:58158 

Laederich, Stephane (with Levi, Mark L.) Invariant curves and time-dependent potentials. 
92g:58110 

Lalonde, Francois Quelques invariants topologiques en géométrie symplectique. [Some 
topological invariants in symplectic geometry] 92k:57048 

Landi, Giovanni see De Filippo, Sergio; et al., 92m:58057 

Laudenbach, Francois Bandes caractéristiques. (English summary) [Characteristic ribbons] 
92m:57031 

Lazutkin, V. F. The width of the instability zone around separatrices of a standard mapping. 
(Russian) 92£:58154 

Leach, P. G. L. see Lewis, H. Ralph; et al., 92m:70027 

Lejarreta, Juan D. see Cerveré, José M., 92c:81030 

de Leén, Manuel see de Andrés, Luis C.; et al., 92g:53018 

Lerman, L.M. Complex dynamics and bifurcations in a Hamiltonian system having a 
transversal homoclinic orbit to a saddle focus. 92h:58152 

Lerner, Nicolas Opérateurs pseudo-différentiels et capacités symplectiques. [Pseudodiffer- 
ential operators and symplectic capacities] 924:58204 

Leuzinger, Enrico Les lois des sinus des espaces symétriques S de rang | et l’application 
moment de 7*S. (English summary) [The laws of sines for symmetric spaces S of rank | 
and the moment map of T*S] 92i:58141 

Levi, Mark L. KAM theory for particles in periodic potentials. 92a:58118 

— see also Henderson, M. E.; et al., 92g:34045 and Laederich, Stephane, 92g:58110 

Lewis, Debra (with Marsden, J. E.; Ratiu, T. S.; Simo, Juan C.) Normalizing connections 
and the energy-momentum method. 92e:58189 

Lewis, Donald Cain see Simo, Juan C.; et al., 92f:70014 

Lewis, H. Ralph (with Leach, P. G. L.; Bouquet, Serge; Feix, Marc R.) Representations of 
one-dimensional Hamiltonians in terms of their invariants. 92m:70027 

Li, Fu Bin Proof of the noninteraction theorem for a system of N relativistic particles in 
direct interaction. 92a:70013 

Li, Ji Bin (with Wan, Shi Dong) Global bifurcations in a disturbed Hamiltonian vector 
field approaching a 3:1 resonant Poincaré map. I. 92e:34051 

Li, Luen Chau see Deift, Percy; et al., 92i:65071 

Li, YiShen see Zeng, Yun Bo; et al., 92k:35270 

Libermann, Paulette Legendre foliations on contact manifolds. 92h:53035 

Liu, Duan Noether’s theorems and its inverse of nonholonomic nonconservative dynamical 
systems. 92g:70012 

Liu, Zhang Ju (with Qian, Min) Gauge invariant quantization on Riemannian manifolds. 
92g:58126 

Liverani, Carlangelo see Donnay, Victor, 92a:58082 

Llibre, Jaume (with Pinyol, Conxita) Transversal ejection-collision orbits for the restricted 
three-body problem. 92f:70005 

— (with Pinyol, Conxita) On the elliptic restricted three-body problem. 92f:70006 

— see also Lacomba, Ernesto A.; et al., 92i:58158 

Llosa, J. see Jaén, X.; et al., 92b:70018 and Blazquez, C., 92f:83004 

Long, Yi Ming (with Zehnder, Eduard) Morse-theory for forced oscillations of asymptoti- 
cally linear Hamiltonian systems. 92j:58019 





de Lie. 





58F05 


— Periodic solutions of perturbed superquadratic Hamiltonian systems. 92c:58113 

— Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian 
systems. 924:58171 

La, Jiang-Hua see Dazord, Pierre; et al., 92j:58116 

Lubczonok, G. see Frescura, F. A. M., 92b:58078 

Maciejewski, Andrzej J. (with Gozdziewski, Krzysztof) Normalization algorithms of 
Hamiltonian near an equilibrium point. 92j:58093 

MacKay, R.S. Converse KAM theory. 92i:58156 

— see also Hamiltonian dynamical systems, 92g:58028 

(Madzharova, Yana) see Stewart, Ian N., 92m:58001 

Marciniak, Andrzej (with Greenspan, Donald) Arbitrary order, Hamiltonian conserving 
numerical solutions of Calogero and Toda systems. 92h:65189 

Marin Solano, J. see Ibort, Luis Alberto, 92i:49057 

Markeev, A. P. Qualitative analysis of systems with an ideal nonretaining constraint. 
(Russian) 92c¢:70022 

Markovskii, B. L. see Chekanov, N. A.; et al., 92k:58244 

Marmi, Stefano see Bazzani, Armando; et al., 92b:58207 and 924:58095 

Marmo, G. (with Morandi, Giuseppe; Rubano, C.) Symmetries in the Lagrangian and 
Hamiltonian formalism: the equivariant inverse problem. 92e:58061 

— see also De Filippo, Sergio; et al., 92m:58057 

Marsden, J. E. see Lewis, Debra; et al., 92e:58189; Simo, Juan C.; et al., 92f:70014 and 
92£:70015 

Martin, Miguel Angel see Gadella, Manuel; et al., 92m:81125 

Martinez, Regina (with Sim6, Carles) Blow up of collapsing binaries in the planar three- 
body problem. 92e:70014 

Maschke, B. Geometrical formulation of bond graph dynamics with application to 
mechanisms. 92k:70010 

Mateos Guilarte, Juan The supersymmetric sigma model, topological quantum mechanics 
and knot invariants. 92h:58034 

Matsyuk, R. Ya. Exterior differential equations in generalized mechanics and symmetry 
properties. (Russian) 92b:58009 

Matzeu, Michele see Girardi, Mario, 92d:58169 and 92k:58224 

McCrory, Clint see Adams, Malcolm R.; et al., 92j:14033 

McDaniel, Andrew (with Smolinsky, Lawrence) The topology of some spaces from 
Hamiltonian mechanics. 92j:20036 

McDuff, Dusa Symplectic manifolds with contact type boundaries. 92e:53042 

McLaughlin, David W. see Ercolani, Nicholas M., 92f:58135 

Meiss, J.D. (with Dewar, R. L.) Minimizing flux. 92b:58206 

— see also Chen, Qi Keith; et al., 92c:58073 and Hamiltonian dynamical systems, 92g:58028 

Meyer, Kenneth R. Lie transform tutorial. II. 92¢:58134 

Michor, Peter W. The moment mapping for unitary representations. 92i:58019 

Mishra, S.C. see Tripathy, K. C., (92f:81008) 

Moebius, P. About the structure of conserved quantities of special many-body systems. 
92¢:70015 

Molina, A. see Jaén, X.; et al., 92b:70018 

Molino, Pierre Feuilletages presque-isométriques et structures de Poisson-Riemann. 
[Almost isometric foliations and Poisson-Riemann structures] 92k:53050 

— Du théoréme d’Arnold-Liouville aux formes normales de systemes hamiltoniens 
toriques: une conjecture. [From the Arnol’d-Liouville theorem to normal forms of toric 
Hamiltonian systems: a conjecture] 92k:58245 

— Un théoréme d’équivalence en géométrie symplectique. [An equivalence theorem in 
symplectic geometry] 92g:58138 

Montaldi, James (with Roberts, Mark; Stewart, Ian N.) Existence of nonlinear normal 
modes of symmetric Hamiltonian systems. 92¢:58190 

— (with Roberts, Mark; Stewart, Ian N.) Stability of nonlinear normal modes of symmetric 
Hamiltonian systems. 92e:58191 

— Caustics in time reversible Hamiltonian systems. 92k:58033 

Morandi, Giuseppe see Marmo, G.; et al., 92e:58061 

Moreira, I.C. see Duarte, L. G. S.; et al., 92d:58187 

Morgan, John Willard see Fernandez, Marisa Luisa; et al., 92e:57049 

Morozov, A. D. On the qualitative behavior of solutions in a neighborhood of the nonlinear 
center of two-dimensional time-periodic systems that are close to Hamiltonian systems. 
(Russian) 92m:34083 

Murray, N. W. Critical function for the standard map. 92j:58090 

— see also Chen, Qi Keith; et al., 92c:58073 

Nagy, Péter T. Dynamical invariants of rigid motions on the hyperbolic plane. 92b:58177 

Neishtadt, A. I. Probability phenomena due to separatrix crossing. 92i:58161 

Neitzke, Katharina Die Lorentz-Kraft auf pseudo-Riemannschen Mannigfaltigkeiten. [The 
Lorentz force on pseudo-Riemannian manifolds] 92k:53039 

Nersessian, A. P. see Khudaverdyan, O. M., 92h:58014b 

Nguyen Tien Zung (with Fomenko, A. T.) Topological classification of integrable 
nondegenerate Hamiltonians on a constant energy three-dimensional sphere. (Russian) 
92h:58088 

— On the complexity of integrable Hamiltonian systems on three-dimensional isoenergy 
submanifolds (description of domains in Fomenko’s molecular table filled with integrable 
systems with the isoenergy surfaces most frequently encountered in physics). 92m:58066 

Nicas, Andrew J. Classifying pairs of Lagrangians in a Hermitian vector space. 92j:57018 

Niemi, Antti J. see Keski-Vakkuri, E.; et al., 92k:58046 

Nieto, Luis M. see Gadella, Manuel; et al., 92m:81125 

Niglio, Louis Classes caractéristiques d’un couple de sous-fibrés isotropes. (English 
summary) [Characteristic classes of a couple of isotropic subbundles] 92h:57044 

Nunes, Ana see Lacomba, Ernesto A.; et al., 92i:58158 

Odeh, F. see Henderson, M. E.; et al., 92g:34045 

Ogievetskii, V. 1. see Gal'perin, A. S., 92i:81320 

Okuneva, G. G. On the topology of integral surfaces in a problem on the dynamics of a rigid 
body. (Russian) 92g:70005 

del Olmo, Mariano A. see Gadella, Manuel; et al., 92m:81125 

(Olver, Peter J.) see Fairlie, D. B., 92i:58049 

Orekhov, V.I. Steady motions and integral manifolds of systems with quadratic integrals. 
(Russian) 92b:70021 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 1992 988 


Ouzilou, R. * Représentation métaplectique. (French) [Metaplectic representation] 
92j:22029 

Ovsienko, O. D. (with Ovsienko, V. Yu.) Lie derivatives of order n on the line. Tensor 
meaning of the Gel’fand-Dikii bracket. 92e:17029 

Ovsienko, V. Yu. see Ovsienko, O. D., 92e:17029 

Paternain, Gabriel Entropy and completely integrable Hamiltonian systems. 92b:58178 

Percival, lan C. Order and chaos in Hamiltonian systems. (see 92i:58001) 

— see also Chen, Qi Keith; et al., 92c:58073 and Buric, Nikola, 92g:70014 

Pérez-Chavela, E. see Delgado Fernandez, J., 92f:70008 

Perrin, Martine Jacqueline see Burdet, G., 92c:22045 

Peschke, Georg see Bates, Larry M., 92e:53040 

Pettini, Marco (with Cerruti-Sola, Monica) Numerical simulations of high-dimensional 
Hamiltonian dynamics. (see 92h:65011) 

Pinyol, Conxita see Llibre, Jaume, 92:70005 and 92:70006 

Planchart R., Enrique A. The geometry of commutativity theorems in infinite-dimensional 
Poisson manifolds. (Spanish. English summary) 92m:58067 

Poletaeva, E. Structure functions on the usual and exotic symplectic and periplectic 
supermanifolds. 92h:58207 

Posbergh, T. A. see Simo, Juan C.; et al., 92f:70015 

Prokhorov, L. V. (with Shabanov, S. V.) Phase space of mechanical systems with a gauge 
group. (Russian) 92h:58038 

Pullin, D. 1. (with Saffman, P.G.) Long-time symplectic integration: the example of four- 
vortex motion. 92g:65083 

Qian, Min see Liu, Zhang Ju, 92g:58126 

Qin, Meng Zhao see Feng, Kang, 92c:65104; 92j:65124; Zhang, Mei Qing and Feng, Kang; et 
al. 

Rabinowitz, Paul H. A variational approach to heteroclinic orbits for a class of Hamiltonian 
systems. 92f:58034 

Rampazzo, Franco On Lagrangian systems with some coordinates as controls. 92m:58125 

Ratiu, T.S. see Eliashberg, Yakov, 92a:58018 and Lewis, Debra; et al., 92e:58189 

Rauch-Wojciechowski, Stefan A bi-Hamiltonian formulation for separable potentials and 
its application to the Kepler problem and the Euler problem of two centers of gravitation. 
92k:58124 

Rauh, A. (with Andrade, R. F. S.; Kougias, Ch. F.) Symmetry in the normal form of the 
Hénon-Heiles Hamiltonian. 92£:58158 

Ravoson, Vincent see Caboz, Régis; et al., 92d:58074 

Reiman, A. G. Multidimensional integrable tops. 92d:58087 

Reusch, Michael F. see Forest, Etienne; et al., 92f:70013 

Roberts, Mark see Montaldi, James; et al., 92e:58190 and 92e:58191 

Rod, David L. see Churchill, Richard C., 92m:32038 

Rodrigues, Paulo R. see de Andrés, Luis C.; et al., 92g:53018 

Rouaissi, Ahmed Systéme hamiltonien périodique associé a l’algébre de Lie g. (English 
summary) [Hamiltonian system with periodic orbits associated with the Lie algebra g2] 
92e:58172 

Rowlands, George A numerical algorithm for Hamiltonian systems. 92h:70016 

Rubano, C. see Marmo, G.; et al., 92e:58061 

Ruijgrok, Th. W. see Golec-Biernat, K., 92c:58046 

Rund, Hanno Adapted contact structures and parameter-dependent canonical transforma- 
tions. 92m:53054 

Saffman, P. G. see Pullin, D. I., 92g:65083 

Salamon, Dietmar Morse theory, the Conley index and Floer homology. 92a:58028 

Sanz-Serna, J. M. (with Abia, L.) Order conditions for canonical Runge-Kutta schemes. 
92¢:65103 

— see also Eirola, T., 92m:65090 

Sapronov, Yu. I. The bifurcation of stationary rotations of a multidimensional asymmetric 
rigid body from the sleeping top regime [in Global analysis and nonlinear equations 
(Russian), 141-152, Voronezh. Gos. Univ., Voronezh, 1988; MR 90k:58157]. (see 
92b:58001) 

Schafer, Gerhard see Damour, Thibault, 92b:70025 

Scovel, Clint Symplectic numerical integration of Hamiltonian systems. 92h:58004 

Semenoff, Gordon W. see Keski-Vakkuri, E.; et al., 92k:58046 

Séré, Eric Existence of infinitely many homoclinic orbits in Hamiltonian systems. 
92k:58201 

Sethna, P.R. see Feng, Zaichun, 92b:58158 

Sezgin, Ergin Gauge theories of infinite-dimensional Hamiltonian superalgebras. (see 
92i:81012) 

Shabanov, S. V. see Prokhorov, L. V., 92h:58038 

Sharko, V. V. see Fomenko, A. T., (92b:58001) 

Shifrin, Theodore see Adams, Malcolm R.; et al., 92j:14033 

Shilnikov, L. P. Multidimensional Hamiltonian chaos. 92m:58104 

Shimomura, Shun see Iwasaki, Katsunori; et al., 92j:33001 

Shishkov, S. Yu. Physical meaning of the Casimirs of a four-dimensional ideal fluid. 
(Russian. English summary) 92e:76001 

Simé, Carles (with Susin, A.) Connections between critical points in the collision manifold 
of the planar 3-body problem. 92f:70007 

— see also Martinez, Regina, 92e:70014 

Simo, Juan C. (with Lewis, Donald Cain; Marsden, J. E.) Stability of relative equilibria. I. 
The reduced energy-momentum method. 92f:70014 

— (with Posbergh, T. A.; Marsden, J. E.) Stability of relative equilibria. II. Application to 
nonlinear elasticity. 92f:70015 

— see also Lewis, Debra; et al., 92e:58189 

Stawianowska, A. On certain nonlinear many-body problems on lines and circles. (Russian 
and Polish summaries) 92¢:70017 

Smolinsky, Lawrence see McDaniel, Andrew, 92j:20036 

Solimini, Sergio (with Terracini, Susanna) A multiplicity result for periodic solutions of 
autonomous conservative systems. 92f:58149 

— see also Capozzi, Alberto; et al., 92£:58145 

Sondaz, Daniel see Dazord, Pierre; et al., 92j:58116 and 92k:58282 

(Souriau, Jean-Marie) see Symplectic geometry and mathematical physics, 92k:58004 

Sowell, Glenn A. see Finkler, Paul; et al., 92h:70015 





989 1992 


Stark, Jaroslav Determining the critical transition for circles of arbitrary rotation number. 
92k:58185 

Steeb, Willi-Hans see Duarte, L. G. S.; et al., 92d:58187 

Stewart, Ian N. The symplectic revolution. (Bulgarian) 92m:58001 

— see also Montaldi, James; et al., 92e:58190; 92e:58191 and Janeczko, Stanislaw, 92k:58032 

Stolovitzky, G. (with Hernando, J. A.) Intermittency, ergodicity, and spectral analysis in 
classical Hamiltonian dynamics. 92a:58119 

Struwe, Michael Existence of periodic solutions of Hamiltonian systems on almost every 
energy surface. 92k:58225 

Suris, Yu. B. Preservation of symplectic structure in the numerical solution of Hamiltonian 
systems. (Russian. English summary) 92j:65102 

Susin, A. see Simé, Carles, 92f:70007 

Szatkowski, A. On the dynamic spaces and on the equations of motion of nonlinear 
nonholonomic mechanical systems. (Russian and Polish summaries) 92m:70019 

Terracini, Susanna see Capozzi, Alberto; et al., 92f:58145 and Solimini, Sergio, 92f:58149 

Timoumi, Mohsen Solutions périodiques de systémes hamiltoniens convexes non coercitifs. 
(English summary) [Periodic solutions of noncoercive convex Hamiltonian systems] 
92m:58112 

Tirkkonen, O. see Keski-Vakkuri, E.; et al., 92k:58046 

Tomei, Carlos see Deift, Percy; et al., 92i:65071 

Tripathy, K.C. (with Mishra, S.C.) Integrable three-dimensional systems. (see 92:81008) 

Trofimov, V. V. Symplectic connections and Maslov-Arnol'd characteristic classes. 
92m:57033 

— Connections on manifolds and new characteristic classes. 92i:57024 

— The holonomy group and generalized Maslov classes of submanifolds in spaces with affine 
connection. (Russian) 92j:57016 

Tsarév, S. P. The geometry of Hamiltonian systems of hydrodynamic type. The generalized 
hodograph method. (Russian) 92b:58109 

Tseitlin, V. Yu. Hamiltonian formalism for Rossby waves. (Russian) 92f:76024 

Tu, Gui Zhang On complete integrability of a large class of finite-dimensional Hamiltonian 
systems. 92¢:58054 

Tucker, Robin W. see Hartley, David; et al., 92j:58002 

Tuckey, Philip A. see Hartley, David; et al., 92j:58002 

Turchetti, Giorgio see Bazzani, Armando; et al., 92b:58207 

Tuynman, G. M. see Duval, Christian; et al., 92e:58079 and Symplectic geometry and 
mathematical physics, 92k:58004 

Uribe, Alejandro see Guillemin, Victor, 92h:58191 

Uzer, T. Erratum: “Phase-integral quantization of accidentally and intrinsically degenerate 
nonlinear systems” [Phys. D 36 (1989), no. 1-2, 51-63; MR 91b:81057]. 92a:81099 

Vaisman, Izu Remarks on the Lichnerowicz-Poisson cohomology. (French summary) 
92c¢:58155 

Valkering, Theo P. (with Derks, G.; van Groesen, Embrecht) Modelling one degree of 
freedom behaviour of dissipative Hamiltonian systems with forcing. 92g:70015 

— see also Derks, G., 92m:70025 

Varley, Robert see Adams, Malcolm R.; et al., 92i:58069 and 92j:14033 

Vegter, Gert see Broer, H. W., 92m:58096 

Vilasi, G. see De Filippo, Sergio; et al., 92m:58057 

Vinitskii, S. I. see Chekanov, N. A.; et al., 92k:58244 

Vittot, Michel A simple and compact presentation of Birkhoff series. (see 92f:58003) 

Vorob’ev, Yu. M. The complex Maslov germ generated by a linear connection. (Russian) 
92d:58207 

Voyatzis, G. see Ichtiaroglou, S., 92e:70005 

Wan, Shi Dong see Li, Ji Bin; et al., 92e:34051 

Wang, Bi Xiang see Fan, Xian Ling, 92i:58150 

Wang, Qiu Dong The global solution of the n-body problem. 92h:70009 

Wang, Quan Yi The existence of periodic solution of Hamilton system. 92m:34096 

Warnock, Robert L. Close approximations to invariant tori in nonlinear mechanics. 
92a:70012 

Watanabe, Yoshihide A Hamilton formalism for evolution equations with odd variables. 
92g:58060 

Weinstein, Alan (with Xu, Ping) Extensions of symplectic groupoids and quantization. 
92k:58094 

— see also Ginzburg, Viktor L., 92h:17022 and Dazord, Pierre; et al., 92j:58116 

Wiggins, Stephen see Kaper, Tasso J., 92j:58078 

Wilson, George On antiplectic pairs in the Hamiltonian formalism of evolution equations. 
92):58054 

Wu, Hua Mo see Feng, Kang; et al., 92j:65124 

Xu, Ping see Weinstein, Alan, 92k:58094 

Yoshida, Haruo Nonexistence of an additional analytic integral in Hamiltonian systems 
with an n-dimensional homogeneous potential (extended abstract). (see 92d:58003) 

Yoshida, Masaaki see Iwasaki, Katsunori; et al., 92j:33001 

Zaslavskii,G. M. Hamiltonian chaos. (see 92c:58001) 

Zehnder, Eduard see Long, Yi Ming, 92j:58019 

Zeitlin, V. Yu. On the structure of phase-space, Hamiltonian variables and statistical ap- 
proach to the description of two-dimensional hydrodynamics and magnetohydrodynam- 
ics. 92m:76009 

Zeng, Yun Bo (with Li, Yi Shen; Chen, Deng Yuan) The hierarchy of completely integrable 
Hamiltonian systems associated with generalized Harry Dym hierarchy. (Chinese 
summary) 92k:35270 

— An approach to the deduction of the finite-dimensional integrability from the infinite- 
dimensional integrability. 92k:58132 

Zhang, Mei Qing (with Qin, Meng Zhao) A note on convergence of symplectic schemes for 
Hamiltonian systems. 


Items listed otherwise than by author 
Aix-en-Provence * Symplectic geometry and mathematical physics. 92k:58004 
Colloquium: 
Symplectic Geometry and Mathematical Physics * Symplectic geometry and mathemati- 
cal physics. 92k:58004 
Hamiltonian dynamical systems * Hamiltonian dynamical systems. 92g:58028 


58F Ordinary differential equations on manifolds; dynamical systems 


58F06 


Progress in Mathematics * Symplectic geometry and mathematical physics. 92k:58004 
Symplectic geometry and mathematical physics * Symplectic geometry and mathematical 
physics. 92k:58004 


58F06 Geometric quantization (applications of representation 
theory) [see also 22E45, 81810] 


Axelrod, Scott (with Della Pietra, Steve; Witten, Edward) Geometric quantization of 
Chern-Simons gauge theory. 92i:58064 

Bates, Larry M. Geometric quantization of a perturbed Kepler problem. 92£:58068 

Cahen, M. see Rawnsley, J.; et al., 92e:58082 

Dazord, Pierre (with Patissier, Guy) La premiére classe de Chern comme obstruction & 
la quantification asymptotique. [The first Chern class as an obstruction to asymptotic 
quantization] 92k:58091 

Della Pietra, Steve see Axelrod, Scott; et al., 92i:58064 

Dé Ngoc Diép Multidimensional quantization. V. The mechanical systems with supersym- 
metry. 92f:58069 

Duval, Christian (with Elhadad, J.;Gotay, Mark J.; Tuynman, G. M.) Nonunimodularity 
and the quantization of the pseudo-rigid body. 92e:58079 

— (with Ethadad, J.; Gotay, Mark J.; Sniatycki, Jedrzej; Taynman, G. M.) Quantization and 
bosonic BRST theory. 92h:58076 

Elhadad, J. see Duval, Christian; et al., 92e:58079 and 92h:58076 

Figueroa-O’Farrill, José M. (with Kimura, Takashi) Geometric BRST quantization. I. 
Prequantization. 92h:58077 

Frescura, F. A.M. (with Lubczonok, G.) Associated symplectic and co-symplectic 
structures. 92b:58078 

Golubeva, V. A. (with Leksin, V. P.) Quantization on a symplectic manifold and cohomol- 
ogy. (Russian) 92h:58078 

Gotay, Mark J. see Duval, Christian; et al., 92e:58079 and 92h:58076 

Gutt, S. see Rawnsley, J.; et al., 92e:58082 

Gzyl, Henryk * Hamiltonian flows and evolution semigroups. 92a:58054 

Hashimoto, Takashi (with Ogura, Kazunori; Okamoto, Kiyosato; Sawae, Ryuichi; 
Yasunaga, Hisatoshi) Kirillov-Kostant theory and Feynman path integrals on coadjoint 
orbits. I. 92f:58070 

Karasév, M. V. see Vorob/ev, Yu. M., (92b:58001) 

Kimura, Takashi see Figueroa-O’Farrill, José M., 92h:58077 

Kuratsuji, Hiroshi (with Takada, Ken-Ichi) Canonical phase, topological invariant and 
representation theory. 92b:58079 

Lashof, R. Equivariant prequantization. 92e:58080 

Leksin, V. P. see Golubeva, V. A., 92h:58078 

Lubczonok, G. see Frescura, F. A. M., 92b:58078 

Maeda, Yoshiaki see Omori, Hideki; et al., 92d:58071 

Mladenov, Ivailo M. Geometric quantization via nonbijective canonical transformations. 
92g:58039 

— Geometric quantization of the five-dimensional Kepler problem. (see 92g:00021) 

Ogura, Kazunori see Hashimoto, Takashi; et al., 92f:58070 

Okamoto, Kiyosato see Hashimoto, Takashi; et al., 92f:58070 

Omori, Hideki (with Maeda, Yoshiaki; Yoshioka, Akira) Weyl manifolds and deformation 
quantization. 92d:58071 

Patissier,Guy see Dazord, Pierre, 92k:58091 

Popov, A. D. Generalized twistors and geometric quantization. (Russian. English summary) 
92k:58092 

Potting, Robertus Quantization of DiffS'/S', Liouville theory, and the Kac relations. 
92k:58093 

Puta, Mircea Some remarks on the quantum geometry. 92e:58081 

Rawnsley, J. (with Cahen, M.; Gutt, S.) Quantization of Kahler manifolds. I. Geometric 
interpretation of Berezin’s quantization. 92e:58082 

Robinson, P. L. Reduction of prequantized Mp‘ structures. 92i:58065 

Sawae, Ryuichi see Hashimoto, Takashi; et al., 92f:58070 

Sniatycki, Jedrzej see Duval, Christian; et al., 92h:58076 

Szymezak, I. (with Zakrzewski, Stanislaw) Quantum deformations of the Heisenberg group 
obtained by geometric quantization. 92i:58066 

Takada, Ken-Ichi see Kuratsuji, Hiroshi, 92b:58079 

Timbeau, Jean Quantifications torogonales. (English summary) [Torogonal quantizations] 
92e:58083 

Tuynman, G. M. Quantization of first-class constraints with structure functions. 92i:58067 

— see also Duval, Christian; et al., 92e:58079 and 92h:58076 

Vorob/ev, Yu. M. (with Karasév, M. V.) Deformation and cohomologies of Poisson brackets 
[in Topological and geometric methods of analysis (Russian), 75-89, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91g:58098]. (see 92b:58001) 

Weinstein, Alan (with Xu, Ping) Extensions of symplectic groupoids and quantization. 
92k:58094 

Weitsman, Jonathan Quantization via real polarization of the moduli space of flat 
connections and Chern-Simons gauge theory in genus one. 92f:58071 

Witten, Edward Quantization of Chern-Simons gauge theory with complex gauge group. 
92£:58072 

— see also Axelrod, Scott; et al., 92i:58064 

Wurzbacher, T. Symplectic techniques in holomorphic group actions. 92i:58068 

Xu, Ping see Weinstein, Alan, 92k:58094 

Yasunaga, Hisatoshi see Hashimoto, Takashi; et al., 92f:58070 

Yoshioka, Akira see Omori, Hideki; et al., 92d:58071 

Zakrzewski, Stanislaw see Szymczak, I., 92i:58066 


Items with secondary classifications in 58F06 

Alcalde, Carlos Star quantization on the cylinder. 92e:81115 

Alekseev, A. Yu. (with Shatashvili, S. L.) From geometric quantization to conformal field 
theory. 92e:81216 

Allen, Theodore J. BRST quantization and coadjoint orbit theories. 92e:81265 

Atiyah, Michael Francis * The geometry and physics of knots. 92b:57008 

(Baier, Gerold) see Chaotic hierarchy, 92m:58093 





58F06 


Batalin, I. A. (with Tyutin, I. V.) Quantum geometry of symbols and operators. 92b:81087 

Bowick, Mark J. (with Yang, Kong Qing) String equations of motion from vanishing 
curvature. 92h:81119 

Brylinski, Ranee Kathryn (with Kostant, Bertram) Nilpotent orbits, normality and 
Hamiltonian group actions. 92k:22023 

Bulgac, Aurel (with Kusnezov, Dimitri) Classical limit for Lie algebras. 92a:81082 

Emch, Gérard G. Geometric quantization: regular representations and modular algebras. 
(see 92g:81003) 

Ewen, H. (with Schaller, Peter; Schwarz, Giinter) Schwinger terms from geometric 
quantization of field theories. 92i:81139 

Falck, N. K. Quantization of constrained systems. (see 92f:81009) 

Fedosov, B. V. Deformation quantization and asymptotic operator representation. 
(Russian) 92k:58267 

Fei, Shao Ming Hopf algebraic structures of SU,,,.9(2) and SU,,,(2) algebras, monopoles 
and symplectic geometry on 2D manifolds. 92j:81101 

Fletcher, Paul The Moyal bracket. 92k:17036 

Goldin, Gerald A. (with Menikoff, Ralph; Sharp, David H.) Quantum vortex configurations 
in three dimensions. 92i:76106 

Golenishcheva-Kutuzova, M. I. Irreducible unitary representations of the group Diff(S?, w) 
of functional dimension two. (Russian) 92j:22035 

de Gosson, Maurice Maslov indices on the metaplectic group Mp(”). (French summary) 
92e:22027 

Grabowski, Marek P. (with Tze, Chia Hsiung) Classical gauge theories on the coadjoint 
orbits of infinite-dimensional groups. 92a:81083 

Gracia-Bondia, José M. The metaplectic action and phases in the Wigner-Moyal and 
Bargmann representations. 92m:81126 

Guillemin, Victor (with Lerman, Eugene; Sternberg, Shlomo) On the Kostant multiplicity 
formula. 92f:58058 

— (with Prato, Elisa; Souza, Regina) Consequences of quasi-free. 92b:58070 

Hansen, Frank The Moyal product and spectral theory for a class of infinite-dimensional 
matrices. 92j:81111 

Huebschmann, Johannes Poisson cohomology and quantization. 92e:17027 

Ilieva, N. P. (with Litov, L.) Symplectic structure and quantization of gauge theories. 
92e:81106 

Killingback, T. P. Chern-Simons theory for compact nonsemisimple Lie groups. 92f:81065 

(Klein, Michael) see Chaotic hierarchy, 92m:58093 

Kostant, Bertram see Brylinski, Ranee Kathryn, 92k:22023 

Kusnezov, Dimitri see Bulgac, Aurel, 92a:81082 

La, HoSeong (with Nelson, Philip; Schwarz, Albert) Virasoro model space. 92c:22041 

Lerman, Eugene see Guillemin, Victor; et al., 92f:58058 

Lisiecki, Wojciech A classification of coherent state representations of unimodular Lie 
groups. 92h:22025 

Litov, L. see Ilieva, N. P., 92e:81106 

Liu, Zhang Ju (with Qian, Min) Gauge invariant quantization on Riemannian manifolds. 
92g:58126 

Madore, J. The commutative limit of a matrix geometry. 92b:58021 

Menikoff, Ralph see Goldin, Gerald A.; et al., 92i:76106 

Murai, Nobuyuki An analogue of the Groenwald theorem in the Kostant-Sternberg 
quantization of fermionic dynamical variables. 92e:81107 

— A fermionic analogue of the Groenwald-van Hove theorem and the Hamiltonian BRST 
charge. 92g:81092 

Nelson, Philip see La, HoSeong; et al., 92c:22041 

Ouzilou, R. * Représentation métaplectique. (French) [Metaplectic representation] 
92j:22029 

Papadopoulos, George J. Geometric quantization, Chern-Simons quantum mechanics and 
one-dimensional sigma models. 92g:81093 

Popov, A. D. Geometrical quantization, hypertwistors, and the critical dimension in string 
theory. (Russian) 92g:81156 

— “Discrete strings” in the geometric-quantization approach. (Russian) 92k:81158 

Prato, Elisa see Guillemin, Victor; et al., 92b:58070 

Pukanszky, L. On a property of the quantization map for the coadjoint orbits of connected 
Lie groups. 92j:22030 

Qian, Min see Liu, Zhang Ju, 92g:58126 

(Ratiu, T.S.) see Geometry of Hamiltonian systems, 92c:58002 

Rieffel, Marc A. Lie group convolution algebras as deformation quantizations of linear 
Poisson structures. 92b:58076 

Schaller, Peter see Ewen, H.; et al., 92i:81139 

Schwarz, Albert see La, HoSeong; et al., 92c:22041 

Schwarz, Ginter see Ewen, H.; et al., 92i:81139 

Sesay, Mohamed W. I. Infinite-dimensional Hamiltonians: their spectral properties and 
equations of evolution. (see 92f:81008) 

Sharp, David H. see Goldin, Gerald A.; et al., 92i:76106 

Shatashvili, S. L. see Alekseev, A. Yu., 92¢:81216 

Souza, Regina see Guillemin, Victor; et al., 92b:58070 

Sternberg, Shlomo see Guillemin, Victor; et al., 92f:58058 

Tran Dao Dong (with Tran Vui) On the procedure of multidimensional quantization. 
92c¢:22031 

Tran Vui see Tran Dao Dong, 92c:22031 

Tyutin, I. V. see Batalin, I. A., 92b:81087 

Tze, Chia Hsiung see Grabowski, Marek P., 92a:81083 

Uzer, T. Erratum: “Phase-integral quantization of accidentally and intrinsically degenerate 
nonlinear systems” [Phys. D 36 (1989), no. 1-2, 51-63; MR 91b:81057]. 92a:81099 

Weinstein, Alan Affine Poisson structures. 924:58069 

— Symplectic groupoids, geometric quantization, and irrational rotation algebras. 
92h:46103 








Wyrozumski, Tomasz Fiber-bundle formalism for quantization in curved spaces. 92a:81131 
Xu, Ping Morita equivalent symplectic groupoids. 92i:46086 

Yang, Kong Qing see Bowick, Mark J., 92h:81119 

Yur'ev, D. V. Radius of univalence of a regular function. (Russian) 92j:17024 

— Gauge invariance of Banks-Peskin differential forms (flat background). 92e:81212 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Ziegler, Francois On the Kostant convexity theorem. 92j:22033 


Items listed otherwise than by author 


Berkeley,CA * The geometry of Hamiltonian systems. 92c:58002 
Chaotic hierarchy * A chaotic hierarchy. 92m:58093 
Geometry of Hamiltonian systems * The geometry of Hamiltonian systems. 92c:58002 
Workshop: 
Geometry of Hamiltonian Systems * The geometry of Hamiltonian systems. 92c:58002 


58F07 Completely integrable systems (including systems with an 
infinite number of degrees of freedom) 


Ablowitz, Mark J. (with Herbst, B. M.; Keiser, J. M.) Solitons, numerical chaos and cellular 
automata. 92£:58073 

— (with Villarroel, Javier) On the complete integrability of certain nonlinear evolution 
equations in one and two spatial dimensions. 92b:58080 

— see also Villarroel, Javier, 92k:58130 

Adams, Malcolm R. (with Harnad, J.; Hurtubise, Jacques) Integrable Hamiltonian systems 
on rational coadjoint orbits of loop algebras. 92d:58072 

— (with Anderson, Robert Leonard; Varley, Robert) Remarks on integrable hierarchies in 
finite dimensions. 92i:58069 

— (with Harnad, J.; Hurtubise, Jacques) Isospectral Hamiltonian flows in finite and infinite 
dimensions. II. Integration of flows. 92a:58055 

— (with Harnad, J.; Hurtubise, Jacques) Dual moment maps into loop algebras. 92a:58056 

— (with Harnad, J.; Hurtubise, Jacques) Coadjoint orbits, spectral curves and Darboux 
coordinates. 92k:58095 

Alber, Solomon J. Hamiltonian systems on the Jacobi varieties. 92f:58074 

— Associated integrable systems. 92b:58081 

Anderson, Robert Leonard see Adams, Malcolm R.; et al., 92i:58069 

Andreev, V. A. (with Burova, M. V.) Lower Korteweg-de Vries equations and the supersym- 
metric structure of the sine-Gordon and Liouville equations. (Russian. English summary) 
92b:58082 

Andrushkiw, R. I. see Tu, Gui Zhang; et al., 92h:58094 

Antonowicz, M. (with Fordy, Allan P.; Liu, Qing Ping) Energy-dependent third-order Lax 
operators. 92j:58040 

Arakelyan, T. A. (with Savvidi, G. K.) Hamiltonian structure of a linearly extended 
Virasoro algebra. (Russian) 92k:58096 

Athorne, Chris see Liu, Qing Ping, 92g:58052 

Avan, Jean New results on integrable models in four space-time dimensions. 92g:58040 

— Current algebra realization of R-matrices associated to Z2-graded Lie algebras. 92a:58057 

— (with Talon, Michel) Rational and trigonometric constant nonantisymmetric R-matrices. 
92b:58083 

— From rational to trigonometric R-matrices. 92i:58070 

Bais, F. Alexander (with de Vos, Koos) The algebraic structure of integrable hierarchies in 
bi-linear form. (see 92m:81271) 

Bakas, Ioannis Self-duality, integrable systems, W-algebras and all that. 92k:58097 

— (with Depireux, Didier A.) A fractional KdV hierarchy. 92k:58098a 

— (with Depireux, Didier A.) Errata: “A fractional KdV hierarchy”. 92k:58098b 

— (with Depireux, Didier A.) Self-duality and generalized KdV flows. 92k:58099 

Bakurov, V.G. Poisson brackets for two-dimensional systems that are integrable by the 
inverse scattering method. (Russian. English summary) 92g:58041 

Balandin, A. V. A system of differential equations that admits a zero curvature representa- 
tion. (Russian) 92a:58058 

Balog, J. (with Fehér, L. Gy.; O’Raifeartaigh, Lochlainn; Forgacs, P.; Wipf, Andreas) Toda 
theory and ¥ -algebra from a gauged WZNW point of view. 92b:58084 

Beals, Richard (with Sattinger, D. H.) Complete integrability of “completely integrable” 
systems. 92k:58100 

— (with Sattinger, D. H.) On the complete integrability of completely integrable systems. 
92m:58051 

Bellon, M. P. (with Maillard, Jean-Marie; Viallet, Claude-Michel) Rational mappings, 
arborescent iterations, and the symmetries of integrability. 92i:58071 

Bergvelt, M. J. Lattice zero curvature equations. 92e:58084 

Blaszak, Maciej Symmetries, conservation laws and multisoliton perturbation theory. 
92k:58101 

Bloch, Anthony M. (with Brockett, Roger W.; Kodama, Yuji; Ratiu, T. S.) Spectral 
equations for the long wave limit of the Toda lattice equations. 92h:58079 

— Steepest descent, linear programming, and Hamiltonian flows. 924:58073 

Bobenko, A. I. (with Kuksin, S. B.) Finite-gap periodic solutions of the KdV equation are 
nondegenerate. 92m:58052 

Bogolyubov, N. N., Jr. (with Prikarpat-skii, A. K.) A bilocal periodic problem for Sturm- 
Liouville and Dirac operators, and some applications in the theory of nonlinear 
dynamical systems. I. (Russian. Ukrainian summary) 92a:58059 

Bogoyavienskii, O. 1. Algebraic constructions of integrable dynamical systems—extension 
of the Volterra system. (Russian) 92j:58041 

Bolsinov, A. V. Methods of calculation of the Fomenko-Zieschang invariant. 92m:58053 

— Commutative families of functions related to consistent Poisson brackets. 92k:58102 

Bordemann, Martin (with Hoppe, Jens; Theisen, Stefan) Integrable field theories from 
Poisson algebras. 92f:58075 

Boucetta, Mohamed Géometrie globale des systemes hamiltoniens complétement intégrables 
et variables action-angle avec singularités. [Global geometry of completely integrable 
Hamiltonian systems and action-angle variables with singularities] 92m:58054 

Bowick, Mark J. (with Morozov, A. Yu.; Shevitz, Daniel) Reduced unitary matrix models 
and the hierarchy of t-functions. 92f:58076 

Brockett, Roger W. see Bloch, Anthony M.; et al., 92h:58079 

Brugarino, Tommaso (with Greco, Antonio M.) Painlevé analysis and reducibility to the 
canonical form for the generalized Kadomtsev-Petviashvili equation. 92c:58042 

Bullough, R. K. (with Olafsson, Sverrir) Algebra of Riemann-Hilbert problems and the 
integrable models—a sketch. 92e:58085 

Burova, M. V. see Andreev, V. A., 92b:58082 





991 1992 


Caboz, Régis (with Ravoson, Vincent; Gavrilov, Ljubomir) Bi-Hamiltonian structure of an 
integrable Hénon-Heiles system. 924:58074 

Calogero, F. (with Degasperis, A.) Spectral transform and solitons: how to solve and 
investigate nonlinear evolution equations. (see 92i:58001) 

— Some ideals and results on integrable nonlinear evolution systems. 92g:58042 

— (with Ji, Xiao Da) C-integrable nonlinear partial differentiation equations. I. 92a:58060 

— (with Nucci, M.C.) Lax pairs galore. 92c:58043 

Canoglu, Ahmet (with Gildogan, Bahri; Salihoglu, Selami) Nonlinear Schrédinger 
equations on super symmetric spaces related to Lie superalgebras A(m, n). 92j:58042 

Cao, Ce Wen A classical integrable system and the involutive representation of solutions of 
the KdV equation. 92k:58103 

— (with Geng, Xian Guo) A nonconfocal generator of involutive systems and three 
associated soliton hierarchies. 92j:58043 

Capel, H. W. Integrable lattice equations and hierarchies. 92e:58086 

— Integrable lattice equations and hierarchies. 92g:58043 

— Integrable lattice equations and hierarchies. (see 92i:58002) 

— (with Nijhoff, Frank; Papageorgiou, V. G.) Complete integrability of Lagrangian 
mappings and lattices of KdV type. 92f:58077 

— see also Quispel, G. R. W.; et al., 92i:58082 

Carillo, Sandra see Fuchssteiner, Benno; et al., 92g:58048 

Carroll, Robert Wayne Some remarks on KP. 92j:58044 

Chau, Ling-Lie Geometrical integrability and equation of motion in physics: a unifying 
view. 92b:58085 

Chen, Cheng Ming The H-transformation and the RH-transform in self-dual Yang-Mills 
fields. (Chinese. English summary) 92k:58104 

Chen, De Fang see Lou, Sen Yue; et al., 92h:58086 

Chen, Hsing Hen see Chin, Chou Hsin, 92e:58087 

Chen, Wei Zhong see Lou, Sen Yue; et al., 92h:58086 

Cheng, Yi! On the hierarchies of integrable systems in 2 + 1 dimensions. (see 92b:58002) 

— (2 + 1)-dimensional integrable hierarchies, Lax operators and relevant algebraic 
structures. 92g:58044 

— Hierarchies of nonlinear integrable equations and their symmetries in 2 + | dimensions. 
92h:58081 

— (with Li, YiShen) Lax algebra for the AKNS system. 92k:58105 

— Integrable systems associated with the Schrédinger spectral probl 
92¢:58044 

— see also Li, Yi Shen; et al., 92b:58102 

Cheng, Yi Xin A deformation operator of the Virasoro algebraic constraints in matrix 
models. 92h:58080 

Cherednik, I. V. The main soliton theorem. 924:58075 

Chin, Chou Hsin (with Chen, Hsing Hen) On spinor representation of the infinite- 
dimensional Grassmannian. 92e:58087 

Conte, R. Painlevé singular manifold equation and integrability. 92d:58076 

Cosentino, S. Infinite relativistic Toda lattice: scattering problem and canonical structure. 
92i:58072 

Damianou, Pantelis A. Master symmetries and R-matrices for the Toda lattice. 92b:58086 

— The Volterra model and its relation to the Toda lattice. 92g:58045 

Das, Ashok * Integrable models. 92a:58061 

— (with Roy, Shibaji) The zero curvature formulation of the sKdV equations. 92i:58073 

— (with Roy, Shibaji) Integrable models and spin algebras. 92j:58045 

— (with Roy, Shibaji) Covariant Lax operators and Kac-Moody algebras. 92e:58088 

— (with Huang, Wen-Jui; Roy, Shibaji) The supersymmetric Boussinesq equation. 
92g:58046 

— (with Huang, Wen-Jui; Roy, Shibaji) The zero curvature formulation of the Boussinesq 
equation. 92j:58046 

— (with Huang, Wen-Jui; Panda, Sudhakar) The Hamiltonian structures of the KP 
hierarchy. 92m:58055 

Dayi, Omer F. A topological quantum theory interpretation of integrable models. 
92m:58056 

De Filippo, Sergio (with Landi, Giovanni; Marmo, G.; Vilasi,G.) An algebraic characteri- 
zation of complete integrability for Hamiltonian systems. 92m:58057 

— Acommutative setting for integrable theories with fermions. 92h:58082 

— A bosonization procedure for Hamiltonian theories with fermions. 92m:58058 

Degasperis, A. see Calogero, F., (92i:58001) 

Deift, Percy (with Li, Luen Chau; Tomei, Carlos) Matrix factorizations and integrable 
systems. 92a:58062 

— (with Li, Luen Chau) Generalized affine Lie algebras and the solution of a class of flows 
associated with the QR eigenvalue algorithm. 92a:58063 

Delzant, Thomas Classification des actions hamiltoniennes complétement intégrables de 
rang deux. [Classification of completely integrable Hamiltonian actions of rank two] 
92£:58078 

Depireux, Didier A. see Bakas, Ioannis, 92k:58098a; 92k:58098b and 92k:58099 

Dickey, L. A. Another example of a t-function. 92g:58047 

— Field theoretical (multi-time) Hamiltonian formalism and its application to integrable 
systems. 92h:58083 

— General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants 
of motion. 92b:58087 

— Erratum: “General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and 
constants of motion” [Comm. Math. Phys. 132 (1990), no. 3, 485-497; MR 92b:58087]. 

Dodd, R. K. Classification of integrable equations. 92f:58079 

Dolgikh, S. N. (with Schwarz, Albert) Super-Grassmannians, super t-functions and strings. 
924:58077 

Dorfmeister, Josef (with Neher, Erhard; Szmigielski, J.) Automorphisms of the KdV- 
subvariety. 92e:58089 

Dubrovin, B. A. Weakly deformed soliton lattices 92k:58106 

Euler, N. see Steeb, Willi-Hans; et al., 92k:58128 and Hereman, Willy; et al. 

Faddeev, L. D. Lectures on quantum inverse scattering method [MR 92i:82033]. (see 
92m:81003) 

Fehér, L. Gy. see Balog, J.; et al., 92b:58084 





in the plane. 


58F Ordinary differential equations on manifolds; dynamical systems 


58F07 


Ferapontov, E. V. Integration of weakly nonlinear semi-Hamiltonian systems of hydrody- 
namic type by the methods of web theory. (Russian) 92e:58090 

— (with Pavlov, M. V.) Quasiclassical limit of coupled KdV equations. Riemann invariants 
and multi-Hamiltonian structure. 92h:58084 

Ferreira, L. A. (with Londe, R. M.) Solutions to higher Hamiltonians in the Toda 
hierarchies. 92a:58064 

Figueroa-O’Farrill, José M. (with Ramos, Eduardo) W-superalgebras from supersymmetric 
Lax operators. 92e:58091 

Flaschka, Hermann (with Newell, Alan C.; Tabor, M.) Integrability. 92i:58074 

Fokas, Athanassios S. (with Santini, P.M.) Conservation laws for integrable systems. 
92j:58047 

— Integrable nonlinear equations. 92j:58048 

Fomenko, A. T. Theory of rough classification of integrable nondegenerate Hamiltonian 
differential equations on four-dimensional manifolds. Application to classical mechanics. 
92k:58107 

— see also Nguyen Tien Zung, 92h:58088 

Fordy, Allan P. Energy dependent spectral problems: their Hamiltonian structures and 
Miura maps. 92a:58065 

— Soliton theory: a brief synopsis. (see 92f:58090) 

— Integrable equations associated with simple Lie algebras and symmetric spaces. (see 
92£:58090) 

— Prolongation structures of nonlinear evolution equations. (see 92f:58090) 

— Integrable Hamiltonian systems and their fermionic and supersymmetric extensions. 
92j:58049 

— The Hénon-Heiles system revisited. 92i:58075 

— (with Pickering, Andrew) Analysing negative resonances in the Painlevé test. 92k:58108 

— (with Holm, Darryl D.) A tri-Hamiltonian formulation of the self-induced transparency 
equations. 92k:58109 

— see also Antonowicz, M.; et al., 92j:58040 and Soliton theory: a survey of results, 92f:58090 

Forgics, P. see Balog, J.; et al., 92b:58084 

Francoise, J.-P. Syst¢mes integrables 4 m-corps sur la droite. [Integrable m-body systems on 
the line] 92h:58085 

Freeman, N.C. (with Gilson, C. R.; Nimmo, J. J.C.) Two-component KP hierarchy and the 
classical Boussinesq equation. 92¢:58045 

Fuchssteiner, Benno (with Konopel’chenko, B. G.; Carillo, Sandra) The action-angle 
transformation for interacting solitons and the dynamics of eigenfunctions for soliton 
equations. (Italian summary) 92g:58048 

— Hamiltonian structure and integrability. 92g:58049 

Fucito, F. (with Martellini, Maurizio; Gamba, A.) Nonperturbative two-dimensional 
quantum gravity, KdV hierarchy and solutions of the string equations. 92b:58088 

Gamba, A. see Fucito, F.; et al., 92b:58088 

Gavrilov, Ljubomir see Caboz, Régis; et al., 92d:58074 

Ge, Mo Lin (with Li, Jing Fa) Hamiltonian structures of the two-dimensional classical 
integrable system, loop algebras and basic Poisson brackets. (see 92b:58002) 

Gekhtman, M. I. Solutions of the infinite Toda lattice. (Russian) 92k:58110 

Geng, Xian Guo see Cao, Ce Wen, 92j:58043 

Gerdt, V. P. (with Zharkov, A. Yu.) * AnropHTMbI HCcCHeqoBaHHA HHTerpHpyeMocTH 
KBa3HJIMHCMHBIX SBOJIOWMOHHBIX CHCTEM C HEBbIPOAACHHON riaBHOR MaTpHuel. (Russian) 
[Algorithms for investigating the integrability of quasilinear evolution systems with a 
nonsingular principal matrix] 92f:58080 

Gerdzhikov, V.S. Generating operators and Zy-reductions. (see 92i:58002) 

Gibbons, John (with Kupershmidt, Boris A.) Relativistic analogs of basic integrable 
systems. 92b:58089 

Gilson, C. R. see Freeman, N. C.; et al., 92c:58045 

Goldstein, Raymond E. (with Petrich, Dean M.) The Korteweg-de Vries hierarchy as 
dynamics of closed curves in the plane. 92g:58050 

Golec-Biernat, K. (with Ruijgrok, Th. W.) Integrable Hamiltonian system in 2N dimen- 
sions. 92¢:58046 

Gorni, Gianluca (with Zampieri, Gaetano) A class of integrable Hamiltonian systems 
including scattering of particles on the line with repulsive interactions. 92k:58111 

Gorskii, A.S. (with Selivanov, K.G.) Integrable theories and nonlinear conformal 
transformations. 92j:58050 

— W, symmetry in the KdV hierarchy. (Russian) 92i:58076 

Grammaticos, B. (with Ramani, A.; Papageorgiou, V.G.) Do integrable mappings have the 
Painlevé property? 92f:58081 

Greco, Antonio M. see Brugarino, Tommaso, 92c:58042 

Grinevich, P. G. (with Orlov, A. Yu.) Higher (nonisospectral) symmetries of the 
Kadomtsev-Petviashvili equations and the Virasoro action on Riemann surfaces. 
92b:58090 

— (with Krichever, Ios. M.) Algebraic-geometry methods in soliton theory. (see 92f:58090) 

— (with Orlov, A. Yu.) Effect of additional symmetries of K-P equation on finite-gap 
solutions and variations of Riemann surfaces. The Krichever-Novikov problem. (see 
92i:58002) 

Gu, Zhu Quan New integrable systems and the mKdV hierarchy. 92m:58059 

— Complex confocal involuti associated with the solutions of the AKNS evolution 
equations. 92k:58112 

— see also Zhang, Bao Cai, 92k:58133 

Guil Guerrero, F. Commuting differential operators over integrable hierarchies. 92b:58091 

— (with Mafias, M.) Loop algebras and the Krichever-Novikov equation. 92b:58092 

Giildogan, Bahri see Canoglu, Ahmet; et al., 92j:58042 

Giirses, Metin (with Karasu, Atalay) Integrable sigma models. 92a:58066 

Harnad, J. Moment map embeddings of isospectral Hamiltonian flows into loop algebras. 
92¢:58047 

— Uses of infinite-dimensional moment maps. (see 92f:81008) 

— (with Kupershmidt, Boris A.) Super loop groups, Hamiltonian actions and super Virasoro 
algebras. 92e:58092 

— (with Hurtubise, Jacques) Generalized tops and moment maps to loop algebras. 
92m:58060 

— see also Adams, Malcolm R.; et al., 92a:58055; 92a:58056; 92d:58072 and 92k:58095 

Helminck, G. F. A geometric construction of solutions of matrix hierarchies. 92k:58113 





ulive Sy 





58F07 


Helmke, Uwe Isospectral flows on symmetric matrices and the Riccati equation. 92¢:58048 

Herbst, B. M. see Ablowitz, Mark J.; et al., 92f:58073 

Hereman, Willy (with Steeb, Willi-Hans; Euler, N.) Comment on: “Towards the conserva- 
tion laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimen- 
sions” [J. Phys. A 19 (1986), no. 10, 1775-1781; MR 87i:58086] by A. Roy Chowdhury 
and M. Naskar. 

Herzig, K. (with Weissgold, M.; Tataru-Mihai, P. I.) Connecting random matrix and 
topological LG models via integrability. 92m:58061 

— (with Weissgold, M.; Tataru-Mihai, P. I.) Erratum: “Connecting random matrix and 
topological LG models via integrability” [Modern Phys. Lett. A 6 (1991), no. 31, 2837- 
2842; MR92m:58061]. 

Holm, Darryl D. see Fordy, Allan P., 92k:58109 

Hoppe, Jens Membranes and integrable systems. 92c:58049 

— (with Theisen, Stefan) Integrable three-body systems with distinct two-body forces. 
92k:58114 

— see also Bordemann, Martin; et al., 92f:58075 

Huang, Wen-Jui see Das, Ashok; et al., 92g:58046; 92j:58046 and 92m:58055 

Huang, Xun Cheng see Tu, Gui Zhang; et al., 92h:58094 

Hurtubise, Jacques see Adams, Malcolm R.; et al., 92a:58055; 92a:58056; 92d:58072; 
92k:58095 and Harnad, J., 92m:58060 

Inami, Takeo (with Kanno, Hiroaki) Lie superalgebraic approach to super Toda lattice and 
generalized super KdV equations. 92f:58082 

— (with Kanno, Hiroaki) N = 2 super KdV and super sine-Gordon equations based on Lie 
super algebra A(1, 1)(!). 92m:58062 

Ito, Hidekazu On the holonomy group associated with analytic continuations of solutions 
for integrable systems. 92m:58063 

Jaulent, M. (with Martinez Alonso, L.) Multidimensional solitons in terms of fermions. 
(see 92a:00040) 

Ji, Xiao Da see Calogero, F., 92a:58060 

Jimbo, Michio Introduction to the Yang-Baxter equation. (see 92i:57011) 

Joshi, Nalini see Kruskal, Martin D., 92a:58068 

Kajiwara, Kenji (with Satsuma, Junkichi) The conserved quantities and symmetries of the 
two-dimensional Toda lattice hierarchy. 92b:58093 

Kanno, Hiroaki see Inami, Takeo, 92f:58082 and 92m:58062 

Karasu, Atalay see Girses, Metin, 92:58066 

Kaushal, R.S. (with Parashar, D.) A possible connection between classical integrability and 
quantum solvability for dynamical systems in two dimensions. 92f:58083 

Keiser, J. M. see Ablowitz, Mark J.; et al., 92f:58073 

(Khalilov, F. A.) see Liu, Qing Ping, 92g:58052 

Kharchev, S. M. (with Marshakov, A. V.; Mironov, A. D.; Orlov, A. Yu.; Zabrodin, A.) 
Matrix models among integrable theories: forced hierarchies and operator formalism. 
92j:58051 

Kholod, P. 1. (with Pakulyak, S. Z.) On the superextension of the Kadomtsev-Petviashvili 
equation and finite-gap solutions of Korteweg-de Vries superequations. 92b:58094 

Khovanova, T. Lie superalgebra structure on eigenfunctions, and jets of the resolvent’s 
kernel near the diagonal of an nth order ordinary differential operator. 92b:58095 

(Khruslov, E. Ya.) see Liu, Qing Ping, 92g:58052 

Kiso, Kazuhiro On the relation between certain evolution equations defined by Lax 
equations. 92b:58096 

Kobayashi, Ken-ichiro N = 2 supersymmetric soliton equation. 92a:58067 

Kodama, Yuji Solutions of the dispersionless Toda equation. 92b:58097 

— see also Bloch, Anthony M.,; et al., 92h:58079 

Kohno, Toshitake Integrable systems related to braid groups and Yang-Baxter equation. (see 
92i:57011) 

Konopel'chenko, B. G. Soliton eigenfunction equations: the IST integrability and some 
properties. 92g:58051 

— (with Strampp, Walter) On the structure and properties of the singularity manifold 
equations of the KP hierarchy. 92b:58098 

— (with Rogers, Colin) On (2 + 1)-dimensional nonlinear systems of Loewner-type. 
92k:58115 

— (with Sidorenko, Yu. N.; Strampp, Walter) (1 + 1)-dimensional integrable systems as 
symmetry constraints of (2 + 1)-dimensional systems. 92k:58116 

— see also Fuchssteiner, Benno; et al., 92g:58048 

K Schwarzbach, Yvette The modified Yang-Baxter equation and bi-Hamiltonian 
structures. 92¢e:58093 

— Generalized symmetries, recursion operators and bi-Hamiltonian systems. 92d:58078 

— Errata: “Quantum and classical Yang-Baxter equations” [Modern Phys. Lett. A 5 (1990), 
no. 13, 981-990; MR 91g:58117]. 

Krichever, Ios. M. see Grinevich, P. G., (92:58090) 

Krélikowski, Wiestaw On some Lagrangian model concerning the solitary waves. 
92m:58064 

Kruglikov, B.S. Topological classification of Leggett systems in an integrable case for 
3He-A. (Russian) 92k:58117 

Kruskal, Martin D. (with Joshi, Nalini) Soliton theory, Painlevé property, and integrability. 
92a:58068 

Kuksin, S. B. see Bobenko, A. I., 92m:58052 

Kupershmidt, Boris A. Factorization of quasiclassical integrable systems. 92e:58094 

— see also Gibbons, John, 92b:58089 and Harnad, J., 92e:58092 

Labelle, P. (with Mathieu, Pierre) A new N = 2 supersymmetric Korteweg-de Vries 
equation. 92b:58099 

Lakshmanan, M. (with Sahadevan, R.) Generalized Lie symmetries and complete 
integrability of certain nonlinear Hamiltonian systems with three degrees of freedom. 
92b:58100 

Lambert, F. (with Willox, R.) Towards an extension of the Sawada Kotera hierarchy. 
92b:58101 

Landi, Giovanni see De Filippo, Sergio; et al., 92m:58057 

Langer, Joel (with Perline, Ron) Poisson geometry of the filament equation. 92k:58118 

Lebedev, D. R. (with Orlov, A. Yu.; Pakulyak, S. Z.; Zabrodin, A.) Nonlocal integrable 
equations as reductions of the Toda hierarchy. 92k:58119 

— (with Pakulyak, S. Z.) Zakharov-Shabat technique with quantized spectral parameter in 





GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


the theory of integrable models. 92k:58120 

van der Lende, E. D. (with Pijls, H. G. J.) Super Hamiltonian operators and Lie superalge- 
bras. 924:58079 

Levi, D. (with Ragnisco, O.) The inhomogeneous Toda lattice: its hierarchy and Darboux- 
Backlund transformations. 92e:58095 

— (with Winternitz, Pavel) Continuous symmetries of discrete equations. 92f:58084 

Li, Luen Chau see Deift, Percy; et al., 92a:58062 and 92a:58063 

Li, YiShen (with Cheng, Yi!) Symmetries in (1 + 1)-dimensional integrable system with 
their algebraic structures and conserved quantities. 92b:58102 

— see also Zeng, Yun Bo, 92b:58112; 92h:58098 and Cheng, Yi’; et al., 92k:58105 

Lin, Yuan Qu see Zhuang, Da Wei, 92e:58105 

Lipovskii, V.D. (with Shirokov, A. V.) The 2 + 1 Toda lattice. I]. Hamiltonian formalism. 
(Russian. English summary) 924:58080 

Liu, Qi Ming Explicit /-reduced hierarchy of the KP hierarchy. 92¢:58096 

Liu, Qing Ping (with Athorne, Chris) Comment on: “Matrix generalisation of the modified 
Korteweg-de Vries equation” [Inverse Problems 6 (1990), no. 2, 193-204; MR 91d:58093] 
by F. A. Khalilov and E. Ya. Khruslov. 92g:58052 

— see also Antonowicz, M.,; et al., 92j:58040 

Londe, R. M. see Ferreira, L. A., 92a:58064 

Lou, Sen Yue (with Ruan, Hang Yu; Chen, De Fang; Chen, Wei Zhong) Similarity 
reductions of the KP equation by a direct method. 92h:58086 

Li, Jing Fa see Ge, Mo Lin, (92b:58002) 

Ma, Wen Xiu The involutive system and the classical integrable system of a new polynomial. 
(Chinese) 

— Generators of vector fields and time dependent symmetries of evolution equations. 
92i:58077 

Magri, Franco (with Morosi, C.; Tondo, G.) The geometry of soliton equations. 92i:58078 

Maillard, Jean-Marie see Bellon, M. P.; et al., 92i:58071 

Maillet, Jean-Michel (with Nijhoff, Frank) On the algebraic structure of integrable systems 
in multidimensions. (see 92f:81008) 

Maiias, M. see Guil Guerrero, F., 92b:58092 

Marmo, G. see De Filippo, Sergio; et al., 92m:58057 

Marshakov, A. V. see Kharchev, S. M.; et al., 92j:58051 

Marshall, Ian A Lie algebraic setting for Miura maps related to an energy dependent linear 
problem. 92e:58097 

Martellini, Maurizio see Fucito, F.; et al., 92b:58088 

Martinez Alonso, L. (with Medina Reus, E.; Olmedilla, Eugenio) Breathers in 2 + 1 
dimensions. 92g:58053 

— see also Jaulent, M., (92a:00040) 

Mathieu, Pierre Extended Virasoro algebras and the second Hamiltonian structure of scalar 
Lax equations. (see 92f:81008) 

— N =1,2 supersymmetric Korteweg-de Vries equations. 92f:58085 

— see also Labelle, P., 92b:58099 

Matone, Marco Conformal field theory, real weight differentials and KdV equation in higher 
genus. 924:58081 

Matsukidaira, Junta (with Satsuma, Junkichi) Integrable four-dimensional nonlinear 
lattice expressed by trilinear form. 92d:58082 

Medina Reus, E. see Martinez Alonso, L.; et al., 92g:58053 

Melnikov, V. K. On the Lax equation with a self-consistent source. 92c:58050 

Micali, Artibano (with Rachidi, Mustapha) Sur certains systémes différentiels de type de 
Lax. (English and Portuguese summaries) [On some differential systems of Lax type] 
92m:58065 

Mironov, A. D. see Kharchev, S. M.; et al., 92j:58051 

Mishra, S.C. see Tripathy, K. C., (92f:81008) 

Miwa, Tetsuji Infinite-dimensional Lie algebras as hidden symmetries of soliton equations. 
(see 92f:58090) 

Morosi, C. (with Tondo, G.) GN manifolds, Yang-Baxter equations and ILW hierarchies. 
92e:58098 

— (with Tondo, G.) Integrability structures and master symmetries. 92h:58087 

— see also Magri, Franco; et al., 92i:58078 

Morozov, A. Yu. see Bowick, Mark J.; et al., 92f:58076 

Moser, Jiirgen (with Veselov, A. P.) Discrete versions of some classical integrable systems 
and factorization of matrix polynomials. 92g:58054 

Mulase, Motohico Category of vector bundles on algebraic curves and infinite-dimensional 
Grassmannians. 92d:58083 

Mulser, P. see Steeb, Willi-Hans; et al., 92k:58128 

Nakamura, Akira? Explicit one-soliton solutions of the (1 + 1)-dimensional Toda molecule 
equation and their large molecule limit of the infinite Toda lattice. 92d:58084 

Nakamura, Yoshimasa On self-dual Yang-Mills hierarchy. 92¢:58099 

— Moduli spaces of controllable linear dynamical systems and nonlinear integrable systems 
of Toda type. 92¢:58051 . 

— Self-dual Yang-Mills hierarchy: a nonlinear integrable dynamical system in higher 
dimensions. 92i:58079 

— Geometry of rational functions and nonlinear integrable systems. 92k:58121 

— The level manifold of a generalized Toda equation hierarchy. 92k:58122 

Narita, Kazuaki New discrete modified KdV equation. 92k:58123 

(Naskar, Minati) see Hereman, Willy; et al. 

Neher, Erhard see Dorfmeister, Josef; et al., 92e:58089 

Newell, Alan C. see Flaschka, Hermann; et al., 92i:58074 

Nguyen Tien Zung (with Fomenko, A. T.) Topological classification of integrable 
nondegenerate Hamiltonians on a constant energy three-dimensional sphere. (Russian) 
92h:58088 

— On the complexity of integrable Hamiltonian systems on three-dimensional isoenergy 
submanifolds (description of domains in Fomenko’s molecular table filled with integrable 
systems with the isoenergy surfaces most frequently encountered in physics). 92m:58066 

Nijhoff, Frank (with Papageorgiou, V.G.) Similarity reductions of integrable lattices and 
discrete analogues of the Painlevé II equation. 92b:58103 

— see also Capel, H. W.; et al., 92f:58077; Quispel, G. R. W.; et al., 92i:58082 and Maillet, 
Jean-Michel, (92£:81008) 

Nimmo, J. J.C. Hirota’s method. (see 92f:58090) 





993 1992 


— see also Freeman, N. C.; et al., 92¢:58045 

Nucci, M.C. see Calogero, F., 92c:58043 

Nutku, Y. (with Szmigielski, J.) Kac-Moody algebras and Hamiltonian operators. 
92i:58080 

Oecvel, Walter R-matrices and higher Poisson brackets for integrable systems. 924:58085 

— Gauge transformations and reciprocal links for integrable equations. 92j:58052 

— see also Strampp, Walter, 92b:58108 : 

Ohyama, Yousuke Self-duality and integrable systems. 92d:58086 

Okubo, Susumu Nijenhuis tensor and integrable models. 92h:58089 

Olafsson, Sverrir see Bullough, R. K., 92e:58085 

Olmedilla, Eugenio see Martinez Alonso, L.; et al., 92g:58053 

O’Raifeartaigh, Lochlainn see Balog, J.; et al., 92b:58084 

Orlov, A. Yu. see Grinevich, P. G., 92b:58090; Kharchev, S. M.; et al., 92j:58051; Lebedev, D. 
R.; et al., 92k:58119 and Grinevich, P. G., (92i:58002) 

Pakulyak, S. Z. see Kholod, P. I., 92b:58094; Lebedev, D. R.; et al., 92k:58119 and 92k:58120 

Panda, Sudhakar see Das, Ashok; et al., 92m:58055 

Papachristou, C. J. Lax pair, hidden symmetries, and infinite sequences of conserved 
currents for self-dual Yang-Mills fields. 92:58086 

Papageorgiou, V.G. see Nijhoff, Frank, 92b:58103; Capel, H. W.; et al., 92f:58077; 
Grammaticos, B.; et al., 92f:58081 and Quispel, G. R. W.; et al., 92i:58082 

Parashar, D. see Kaushal, R. S., 92:58083 

Pavlov, M. V. see Ferapontov, E. V., 92h:58084 

Perline, Ron see Langer, Joel, 92k:58118 

Petrich, Dean M. see Goldstein, Raymond E., 92g:58050 

Pickering, Andrew see Fordy, Allan P., 92k:58108 

Pijls, H. G. J. see van der Lende, E. D., 924:58079 

Planchart R., Enrique A. The geometry of commutativity theorems in infinite-dimensional 
Poisson manifolds. (Spanish. English summary) 92m:58067 

Polychronakos, Alexios P. Integrable systems from gauged matrix models. 92i:58081 

Previato, Emma The Calogero-Moser-Krichever system and elliptic Boussinesq solitons. 
92e:58100 

Prikarpat-skii, A. K. see Bogolyubov, N. N., Jr., 92a:58059 

Purkait,S. (with Roy Chowdhury, A.) On the Noetherian condition for implectic operators 
and bi-Hamiltonian structure. 92g:58055 

— (with Roy Chowdhury, A.) On the bi-Hamiltonian structure, strong and hereditary 
operator of symmetries for a new nonlinear system. 92h:58090 

Qian, Min (with Xu, Ping) Coherent states, inverse mapping formula for Weyl transforma- 
tions and application to equations of KdV type. 92b:58104 

Quispel, G. R. W. (with Capel, H. W.; Papageorgiou, V. G.; Nijhoff, Frank) Integrable 
mappings derived from soliton equations. 92i:58082 

Rabelo, Mauro L. (with Tenenblat, Keti) A classification of pseudospherical surface 
equations of type u; = uxxx + G(u, Ux, Uxx). 92m:58068 

Rabin, Jeffrey M. Krichever construction of solutions to the super KP hierarchies. 
92j:58053 

— The geometry of the super KP flows. 92f:58087 

Rachidi, Mustapha see Micali, Artibano, 92m:58065 

Radul, A.O. Two series of Hamiltonian structures for a hierarchy of Kadomtsev- 
Petviashvili equations. (Russian) 92b:58105 

Ragnisco, O. (with Santini, P.M.) A unified algebraic approach to integral and discrete 
evolution equations. 92b:58106 

— see also Levi, D., 92e:58095 

Ramani, A. see Grammaticos, B.; et al., 92f:58081 

Ramos, Eduardo see Figueroa-O’Farrill, José M., 92e:58091 

Ratiu, T.S. see Bloch, Anthony M.; et al., 92h:58079 

Rauch-Wojciechowski, Stefan A bi-Hamiltonian formulation for separable potentials and 
its application to the Kepler problem and the Euler problem of two centers of gravitation. 
92k:58124 

Ravoson, Vincent see Caboz, Régis; et al., 92d:58074 

Reiman, A. G. Multidimensional integrable tops. 924:58087 

Rogers, Colin see Konopelchenko, B. G., 92k:58115 

Réssler, Jaime Structural stability of perturbed mKdV solitons. 92h:58091 

Roy, Shibaji see Das, Ashok, 92e:58088; 92g:58046; 92i:58073; 92j:58045 and 92j:58046 

Roy Chowdhury, A. see Purkait, S., 92g:58055; 92h:58090; Sen, Shibani, 92i:58083; 
92i:58084 and Hereman, Willy; et al. 

Ruan, Hang Yu see Lou, Sen Yue; et al., 92h:58086 

Rubin, Jacques (with Winternitz, Pavel) Point symmetries of conditionally integrable 
nonlinear evolution equations. 92b:58107 

Ruijgrok, Th. W. see Golec-Biernat, K., 92c:58046 

Ruijsenaars, S. N. M. Finite-dimensional soliton systems. 92g:58056 

— Relativistic Toda systems. 924:58088 

Sahadevan, R. see Lakshmanan, M., 92b:58100 

Salihoglu, Selami see Canoglu, Ahmet; et al., 92j:58042 

Santini, P.M. Algebraic properties and symmetries of integrable evolution equations. 


92g:58057 

— see also Ragnisco, O., 92b:58106 and Fokas, Athanassios S., 92j:58047 

Satsuma, Junkichi see Kajiwara, Kenji, 92b:58093 and Matsukidaira, Junta, 92d:58082 

Sattinger, D. H. see Beals, Richard, 92k:58100 and 92m:58051 

Savel’ev, M. V. On specializing the Brockett equation for nonabelian versions of the 
generalized Toda lattices. 92k:58125 

Sawvidi, G. K. see Arakelyan, T. A., 92k:58096 

Schiff, Jeremy Integrability of Chern-Simons-Higgs and abelian Higgs vortex equations in a 
background metric. 92c¢:58052 

Schilling, Randolph James A loop algebra decomposition for Korteweg-de Vries equations. 
92e:58101 

— Multiple Hamiltonian structures and soliton equations with explicit x-dependence. 
92k:58126 

Schwarz, Albert On some mathematical problems of 2D-gravity and W,,-gravity. 92f:58088 

— see also Dolgikh, S. N., 92d:58077 

Schwarz, Martin, Jr. Commuting flows and invariant tori: Korteweg-de Vries. 92k:58127 

Segal, Graeme B. The geometry of the KdV equation. 92e:58102 


58F Ordinary differential equations on manifolds; dynamical systems 


58F07 


Selivanov, K.G. see Gorskii, A. S., 92j:58050 

Semikhatov, A.M. Conformal fields. From Riemann surfaces to integrable hierarchies. 
92h:58092 

Sen, Shibani (with Roy Chowdhury, A.) On the invariance properties and conservation 
laws for Landau-Lifshitz equation in three dimensions with Tijon-Wright [Tjon-Wright] 
ansatz. 92i:58083 

— (with Roy Chowdhury, A.) Yang-Baxter equation and nonultralocal integrable system. 
92i:58084 

Shevitz, Daniel see Bowick, Mark J.; et al., 92f:58076 

Shirokov, A. V. see Lipovskii, V. D., 92d:58080 

Sidorenko, Yu. N. see Konopel’chenko, B. G.; et al., 92k:58116 

Siggia, Eric D. Painlevé property and integrability. (see 92f:58003) 

Steeb, Willi-Hans (with Euler, N.; Mulser, P.) On a hierarchy of nonlinear dynamical 
systems and Painlevé test. 92k:58128 

— see also Hereman, Willy; et al. 

Strampp, Walter (with Oevel, Walter) Recursion operators and Hamiltonian structures in 
Sato’s theory. 92b:58108 

— see also Konopelchenko, B. G., 92b:58098 and 92k:58116 

Suris, Yu. B. Generalized Toda chains in discrete time. (Russian) 92g:58058 

Svinolupov, S. I. Jordan algebras and generalized Korteweg-de Vries equations. (Russian. 
English summary) 92k:58129 

Szmigielski, J. see Dorfmeister, Josef; et al., 92e:58089 and Nutku, Y., 92i:58080 

Tabor, M. see Flaschka, Hermann; et al., 92i:58074 

Taimanov, I. A. Two-dimensional finite-gap potential Schrédinger operators. (Russian) 
92g:58059 

Takasaki, Kanehisa An infinite number of Hamiltonian flows arising from hyper-Kahler 
metrics. (see 92f:81008) 

Takebe, Takashi Representation theoretical meaning of the initial value problem for the 
Toda lattice hierarchy. I. 92d:58089 

— Representation theoretical meaning of the initial value problem for the Toda lattice 
hierarchy. II. 92h:58093 

Takhtadzhyan, L. A. Quantum groups and integrable models. 92d:58090 

Talon, Michel see Avan, Jean, 92b:58083 

Tataru-Mihai, P.1I. see Herzig, K.; et al., 92m:58061 

Tenenblat, Keti see Rabelo, Mauro L., 92m:58068 

Theisen, Stefan see Bordemann, Martin; et al., 92f:58075 and Hoppe, Jens, 92k:58114 

Tomei, Carlos see Deift, Percy; et al., 92a:58062 

Tondo, G. see Morosi, C., 92e:58098; 92h:58087 and Magri, Franco; et al., 92i:58078 

Tripathy, K.C. (with Mishra, S.C.) Integrable three-dimensional systems. (see 92f:81008) 

Tsarév, S. P. The geometry of Hamiltonian systems of hydrodynamic type. The generalized 
hodograph method. (Russian) 92b:58109 

Tu, Gui Zhang A trace identity and its applications in Hamiltonian theory of integrable 
systems. (see 92b:58002) 

— An extension of a theorem on gradients of conserved densities of integrable systems. 
92a:58069 

— A trace identity and its applications to the theory of discrete integrable systems. 
92c:58053 

— On complete integrability of a large class of finite-dimensional Hamiltonian systems. 
92¢:58054 

— (with Andrushkiw, R. I.; Huang, Xun Cheng) A trace identity and its application to 
integrable systems of 1 + 2 dimensions. 92h:58094 

Turbiner, A. V. Quasi-exactly-solvable problems. (see 92b:81009) 

Varley, Robert see Adams, Malcolm R.; et al., 92i1:58069 

Vereshchagin, V. L. Spectral theory of one-phase solutions of a Volterra chain. (Russian) 
92m:58069 

Veselov, A. P. Confocal surfaces and integrable billiards on the sphere and in the 
Lobachevsky space. 92b:58110 

— The growth of the number of images of a point under iterations of a multivalent mapping. 
(Russian) 92h:58095 

— see also Moser, Jiirgen, 92g:58054 

Viallet, Claude-Michel see Bellon, M. P.; et al., 92i:58071 

Vilasi, G. see De Filippo, Sergio; et al., 92m:58057 

Villarroel, Javier (with Ablowitz, Mark J.) On the Hamiltonian formalism for the Davey- 
Stewartson system. 92k:58130 

— see also Ablowitz, Mark J., 92b:58080 

de Vos, Koos see Bais, F. Alexander, (92m:81271) 

Ward, R.S. Integrable systems in twistor theory. 92b:58111 

Watanabe, Yoshihide A Hamilton formalism for evolution equations with odd variables. 
92g:58060 

Weissgold, M. see Herzig, K.; et al., 92m:58061 

Willox, R. see Lambert, F., 92b:58101 

Wilson, George On the Adler-Gel/fand-Dikii bracket. 92h:58096 

— On antiplectic pairs in the Hamiltonian formalism of evolution equations. 92j:58054 

Winternitz, Pavel Kac-Moody-Virasoro symmetries of integrable nonlinear partial 
differential equations. 92c:58055 

— Kac-Moody-Virasoro symmetries of integrable nonlinear evolution equations. 924:58091 

— see also Rubin, Jacques, 92b:58107 and Levi, D., 92f:58084 

Wipf, Andreas see Balog, J.; et al., 92b:58084 

Wospakrik, Hans J. A direct heat kernel method for generating the conserved quantities of 
the ZS-AKNS system. 92d:58092 

Wa, Yong Shi! see Yu, Feng, 92h:58097 

Xu, Ping see Qian, Min; et al., 92b:58104 

Yamagishi, Kengo A Hamiltonian structure of KP hierarchy, W,,... algebra, and self-dual 
gravity. 92f:58089 

Yatskin, N. 1. Almost reducibility of linear differential equations on manifolds. (Russian) 
92e:58103 

You, Yuching DKP and MDKP hierarchy of soliton equations. 92i:58085 

Yu, Feng (with Wu, Yong Shi') Hamiltonian structure, (anti-)selfadjoint flows in the KP 
hierarchy and the W,,.. and W,.. algebras. 92h:58097 

Zabrodin, A. see Kharchev, S. M.; et al., 92j:58051 and Lebedev, D. R.; et al., 92k:58119 





58F07 


Zampieri, Gaetano see Gorni, Gianluca, 92k:58111 

Zeng, Yun Bo (with Li, YiShen) Two kinds of finite-dimensional systems related to the 
generalized Schrédinger equation. 92h:58098 

— (with Li, YiShen) Integrable Hamiltonian systems related to the polynomial eigenvalue 
problem. 92b:58112 

— Gauge transformation and bi-Hamiltonian structure of a finite-dimensional integrable 
system reduced from a soliton equation. 92h:58099 

— The constraint on potential and decomposition for (2 + 1)-dimensional integrable 
systems. 92k:58131 

— An approach to the deduction of the finite-dimensional integrability from the infinite- 
dimensional integrability. 92k:58132 

Zhang, Bao Cai (with Gu, Zhu Quan) The coupled HD hierarchy and a classical integrable 
system of the complex form. 92k:58133 

Zhang, You Jin Symmetries and the related Lie algebraic structure of the principal chiral 
field equation. (Chinese summary) 92e:58104 

Zharkov, A. Yu. see Gerdt, V. P., 92£:58080 

Zhuang, Da Wei (with Lin, Yuan Qu) Nonlinearization of the Lax pair for the KdV 
equation and integrable Hamiltonian systems. 92e:58105 


Items listed otherwise than by author 
Soliton theory: a survey of results * Soliton theory: a survey of results. 92f:58090 


Items with secondary classifications in 58F07 


Abdrakhmanov, A. M. Integrable billiards. (Russian) 92b:58171 

Ablowitz, Mark J. Nonlinear evolution equations, solitons and cellular automata. 
92e:35141 

— see also Chakravarty, Sarbarish; et al., 92a:81111a and 92a:81111b 

Ahn, Changrim (with Bernard, Denis; LeClair, André) Fractional supersymmetries in 
perturbed coset CFTs and integrable soliton theory. 92a:81161 

— (with Shigemoto, Kazuyasu) Multi-matrix model and 2D Toda multi-component 
hierarchy. 92¢:81152 

Akutsu, Yasuhiro (with Deguchi, Tetsuo; Wadati, Miki) The Yang-Baxter relation: a new 
tool for knot theory. (see 92i:57011) 

Alekseev, A. Yu. (with Shatashvili, S. L.) Quantum groups and WZNW models. 92b:81070 

Alvarez, Orlando (with Windey, Paul) Universality in two-dimensional quantum gravity. 
92j:81222 


Alvarez-Gaumé, Luis (with Gomez, César; Lacki, J.) Integrability in random matrix models. 


92a:81162 

Anderson, Robert Leonard An aspect of the application of F-P-S linearization to soliton 
equations—the distorted Fourier transform. (see 92b:00042) 

Andrade, R. F.S. see Miranda Filho, R. C., 92h:58178 

Antonowicz, M. (with Fordy, Allan P.) Hamiltonian structure of nonlinear evolution 
equations. (see 92f:58090) 

Aratyn, H. (with Ferreira, L. A.; Gomes, J. F.; Zimerman, Abraham H.) Kac-Moody 
construction of Toda type field theories. 92a:81165 

Arbarello, Enrico (with De Concini, Corrado) Geometrical aspects of the Kadomtsev- 
Petviashvili equation. 92a:14023 

Arefeva, I. Ya. (with Volovich, I. V.) Quantum group gauge fields. 92g:81080 

Avan, Jean (with Talon, Michel) Graded R-matrices for integrable systems. 92j:17007 

Awada, Moustafa A. (with Qiu, Zongan) The critical points of the multimatrix model as 
theories of 2D W-gravity. 92b:81163 

Babeion, Olivier The role of the Yang-Baxter equation in conformal field theory. 
92m:81227 

— (with Bonora, Loriano) Integrability and conformal invariance. 92g:81160 

— From integrable to conformal theory. 92k:81165 

— Universal exchange algebra for Bloch waves and Liouville theory. 92i:81205 

— (with Bonora, Loriano) Quantum Toda theory. 92e:81171 

Balog, J. (with Dabrowski, L.; Fehér, L. Gy.) A new quantum deformation of SL(3). 
92d:17013 

(Bar'yakhtar, V.G.) see Integrability and kinetic equations for solitons, 92m:00028 

Bates, Larry M. Monodromy in the champagne bottle. 92j:58031 

Bernard, Denis see Ahn, Changrim; et al., 92a:81161 

Bikbaev, R. F. Whitham restructuring and time asymptotics of the solution of a nonlinear 
Schrédinger equation with finite-gap behavior as x — too. (Russian) 92g:35198 

Bloch, Anthony M. see Brockett, Roger W., 92c:35112 

Bobenko, A. I. Integrable surfaces. (Russian) 92d:53009 

Bogolyubov, N. M. see Bullough, R. K.; et al., 92g:82009 

Bogoyavlenskii, O. 1. Overturning solitons. II. (Russian) 92e:35142 

— Overturning solitons. III. (Russian) 92¢e:35143 

— Overturning solitons. IV. (Russian) 92¢e:35144 

Boiti, M. (with Leon, Jéréme Jp.; Pempinelli, F.) Multidimensional solitons and their 
spectral transforms. 92b:35129 

— (with Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. K.) New features of Backlund and 
Darboux transformations in 2 + 1 dimensions. 92i:58167 

— see also Pempinelli, F.; et al., 92g:58114 

Bonora, Loriano Toda theories, integrability and conformal invariance. 92m:81229 

— (with Zhang, Yao Zhong; Martellini, Maurizio) SL(2), WZNW models, perturbations 
and integrable models. 92b:81166 

— (with Martellini, Maurizio; Zhang, Yao Zhong) Affine CS theories, affine WZNW models 
and integrable models. 92d:81116 

— (with Xiong, Chuan Sheng) Covariant sl, decomposition of the sl, Drinfel/d-Sokolov 
equations and the W,, algebras. 92m:81083 

— see also Babelon, Olivier, 92e:81171 and 92g:81160 

Braden, H. W. (with Corrigan, E.; Dorey, P. E.; Sasaki, Ryu) Aspects of affine Toda field 
theory. 92b:81167 

Brockett, Roger W. (with Bloch, Anthony M.) Sorting with the dispersionless limit of the 
Toda lattice. 92¢:35112 


— Dynamical systems that sort lists, diagonalize matrices, and solve linear programming 
problems. 92j:90043 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 1992 994 


— (with Faibusovich, L. E.) Toda flows, inverse spectral transform and realization theory. 
92b:58216 

Braschi, M. (with Ragnisco, O.; Santini, P. M.; Tu, Gui Zhang) Integrable symplectic maps. 
92g:58031 

Bullough, R. K. (with Pilling, D. J.; Timonen, J.; Cheng, Yi'; Chen, Yu-zhong) Quantum 
and classical statistical mechanics of the integrable models in 1 + 1 dimensions. 
92d:82055 

— (with Bogolyubov, N. M.; Timonen, J.) Quantum and classical integrability: new 
approaches in statistical mechanics. 92g:82009 

Burman, Sukhanya see Roy Chowdhury, A., 92k:35248 

Camassa, R. (with Wu, Theodore Yao-tsu) Stability of some stationary solutions for the 
forced KdV equation. 92f:35125 

Carillo, Sandra see Fuchssteiner, Benno; et al., 92i:35109 

Caudrey, P. J. Spectral transforms. (see 92f:58090) 

— Two-dimensional spectral transforms. (see 92£:58090) 

Chaichian, Masud (with Popowicz, Z.; Presnajder, P.) q-Virasoro algebra and its relation to 
the q-deformed KdV system. 92c:17021 

Chakravarty, Sarbarish (with Ablowitz, Mark J.; Clarkson, Peter A.) Reductions of self- 
dual Yang-Mills fields and classical systems. 92a:81111la 

— (with Ablowitz, Mark J.; Clarkson, Peter A.) Errata: “Reductions of self-dual Yang-Mills 
fields and classical systems”. 92a:81111b 

Chan, Wai Leung (with Zheng, Yu Kun) Nonisospectral variable-coefficient higher-order 
Korteweg-de Vries equations. 92a:58125 

Chao, Liu see Hou, Bo Yu; et al., 92f:81170 

Chaselon, P. (with Constantinescu, F.; Flume, R.) Deformations along critical lines of field 
theories in two dimensions. 92g:81164 

Chen, De Fang (with Lou, Sen Yue) Deformation theory for traveling wave solutions of 
KdV equations and higher-order KdV equations. (Chinese. English summary) 92g:35189 

Chen, Deng Yuan (with Zhu, Guo Cheng; Li, Yi Shen) The symmetries of a matrix 
evolution equation of KdV type and its Lie algebra. (Chinese. English summary) 
92e:58194 

— (with Zhu, Guo Cheng; Li, Yi Shen) New symmetries for a matrix evolution equation of 
AKNS type and its Lie algebra. (Chinese) 92c:58135 

— see also Zeng, Yun Bo; et al., 92k:35270 

Chen, Yu-zhong see Bullough, R. K.; et al., 92d:82055 

Cheng, Yi! (with Li, YiShen) The constraint of the Kadomtsev-Petviashvili equation and 
its special solutions. 92d:35243 

— (with Li, YiShen) Constraints of the (2 + 1)-dimensional integrable soliton systems. 
92k:35266 

— see also Bullough, R. K.; et al., 92d:82055 

(Chernousenko, V. M.) see Integrability and kinetic equations for solitons, 92m:00028 

Clarkson, Peter A. (with Winternitz, Pavel) Nonclassical symmetry reductions for the 
Kadomtsev-Petviashvili equation. 92h:35204 

— see also Chakravarty, Sarbarish; et al., 92a:81111a and 92a:81111b 

Coffey, Mark W. On the integrability of Schamel’s modified Korteweg-de Vries equation. 
92h:35205 

Constantinescu, F. see Chaselon, P.; et al., 92g:81164 

Conte, R. see Musette, M., 92k:35269 

Corrigan, E. see Braden, H. W.; et al., 92b:81167 

Crnkovié, Cedomir (with Douglas, Michael R.; Moore, Gregory W.) Physical solutions for 
unitary matrix models. 92k:81132 

Csizmazia, A. P. The Phoenix equation. 92c:35103 

Dabrowski, L. see Balog, J.; et al., 92d:17013 

Dalley, Simon (with Johnson, Clifford V.; Morris, T. R.) Classification of critical Hermitian 
matrix models. 92d:81118 

Damgaard, P. H. (with Shigemoto, Kazuyasu) An integrable hierarchy from vector models. 
92e:81219 

Das, Ashok (with Huang, Wen-Jui) An alternate characterization of integrability. 
924:58065 

Dasgupta, N. see Roy Chowdhury, A., 92h:35219 

David, Daniel Integrability and chaos in nonlinearly coupled optical beams. 92d:58195 

Davies, Brian Onsager’s algebra and superintegrability. 92d:82014 

De, Mrityunjoy (with Roy Chowdhury, A.) On a double Riemann-Hilbert approach to 
stimulated Raman scattering. 92g:35170 

— (with Roy Chowdhury, A.) Exact solutions, deformed integrable NLS equation and 
Riemann problem. 92m:35250 

De Concini, Corrado see Arbarello, Enrico, 92a:14023 

Deguchi, Tetsuo see Akutsu, Yasuhiro; et al., (92i:57011) 

Deift, Percy (with Li, Luen Chau) Poisson geometry of the analog of the Miura maps and 
Backlund-Darboux transformations for equations of Toda type and periodic Toda flows. 
92i:58168 

— (with Zhou, Xin) Direct and inverse scattering on the line with arbitrary singularities. 
92g:34112 

Destri, C. (with de Vega, H. J.) Exact tadpoles and dressed couplings in the A, Toda field 
theory. 92k:81173 

D’Hoker, Eric Generalized Lax and Backlund equations for Liouville and super-Liouville 
theory. 92h:58179 

Dijkgraaf, Robbert (with Witten, Edward) Mean field theory, topological field theory, and 
multi-matrix models. 92i:81271 

— (with Verlinde, Herman; Verlinde, Erik) Loop equations and Virasoro constraints in 
nonperturbative two-dimensional quantum gravity. 92a:81171 

— (with Verlinde, Herman; Verlinde, Erik) Topological strings in d < 1. 92e:81221 

Doktorov, E. V. (with Prokopenya, I. N.) Algebraic version of the soliton perturbation 
theory. 92k:35235 

Dorey, P. E. see Braden, H. W.; et al., 92b:81167 

Douglas, Michael R. Strings in less than one dimension and the generalized KdV hierar- 
chies. 92a:81172 

— see also Crnkovié, Cedomir; et al., 92k:81132 

Dubrovin, B. A. On the differential geometry of strongly integrable systems of hydrodynam- 
ics type. (Russian) 92g:35174 





995 1992 


Dubrovskii, V.G. (with Konopelchenko, B. G.) On the interrelation between the solutions 
of the mKP and KP equations via the Miura transformation. 92i:35108 

— see also Konopelchenko, B. G., 92k:35244 

Eleonskii, V.M. (with Lerman, L.M.) Nonintegrable field equations and homoclinic loops 
of Hamiltonian systems. 92j:58096 

El-Sabbagh, M. F. Connections, holonomy groups and solitons. 92k:53042 

Enol'skii, V. Z. (with Salerno, Mario) On the calculation of the energy spectrum of 
quantum integrable systems. 92b:82044 

Ercolani, Nicholas M. (with McLaughlin, David W.) Toward a topological classification of 
integrable PDEs. 92f:58135 

Evans, Jonathan (with Hollowood, Tim) Supersymmetric Toda field theories. 92h:81150 

Faibusovich, L. E. Hamiltonian structure of dynamical systems which solve linear 
programming problems. 92i:90055 

— see also Brockett, Roger W., 92b:58216 

Fehér, L. Gy. see Balog, J.; et al., 92d:17013 

Feigin, B. L. (with Frenkel, Edward V.) Quantization of the Drinfel/d-Sokolov reduction. 
92g:17029 

Fendley, Paul (with Lerche, W.; Mathur, S. D.; Warner, Nicholas) N = 2 supersymmetric 
integrable models from affine Toda theories. 92¢:81223 

Ferapontov, E. V. Hamiltonian systems of hydrodynamic type and their realizations on 
hypersurfaces of a pseudo-Euclidean space. (Russian) 92f:58159 

— Integration of weakly nonlinear hydrodynamic systems in Riemann invariants. 92j:35150 

Ferreira, L. A. see Aratyn, H.; et al., 92a:81165 

Figueroa-O’Farrill, José M. (with Ramos, Eduardo) Classical N = 2 W-superalgebras and 
supersymmetric Gel'fand-Dickey brackets. 92m:17009 

Flaschka, Hermann (with Haine, Luc) Variétés de drapeaux et réseaux de Toda. (English 
summary) [Flag manifolds and Toda lattices] 92c:22040 

Flessas, G. P. (with Leach, P.G. L.) A completely integrable case in the complex Lorenz 
equations. 92i:34004 

Flume, R. see Chaselon, P.; et al., 92g:81164 

Fokas, Athanassios S. see It-s, A. R.; et al., 92c:81166 

Fomenko, A. T. (with Zieschang, Heiner) A topological invariant and a criterion for the 
equivalence of integrable Hamiltonian systems with two degrees of freedom. (Russian) 
92b:58067 

— see also Topological classification of integrable systems, 92i:58003 

Fordy, Allan P. see Antonowicz, M., (92:58090) 

Fradkin, E.S. (with Linetskii, V. Ya.) Nonsplittable extensions of the Virasoro and 
superconformal algebras via pseudodifferential operators. 92f:81047 

Freidel, L. (with Maillet, Jean-Michel) Quadratic algebras and integrable systems. 
92h:17013 

Frenkel, Edward V. see Feigin, B. L., 92g:17029 

Frenkel, Igor B. (with Moore, Gregory W.) Simplex equations and their solutions. 
92e:17015 

Fuchssteiner, Benno Linear aspects in the theory of solitons and nonlinear integrable 
equations. 92i:35104 

— (with Schulze, Thorsten; Carillo, Sandra) Explicit solutions for the Harry Dym equation. 
92i:35109 

Fukuma, Masafumi (with Kawai, Hikaru; Nakayama, Ryuichi) Continuum Schwinger- 
Dyson equations and universal structures in two-dimensional quantum gravity. 
92£:81124 

Gava, Edi (with Narain, K. S.) Schwinger-Dyson equations for the two-matrix model and 
W, algebra. 92i:81276 

(Ge, Mo Lin) see Braid group, knot theory and statistical mechanics, 92i:57011 

Geng, Xian Guo A quintic Hamiltonian system that generates the reflectionless potential of 
the Jaulent-Miodek equation. (Chinese) 924:35277 

Gerasimov, A. A. (with Lebedev, D. R.; Morozov, A. Yu.) Possible application of integrable 
systems in string theory. (Russian) 92c¢:81160 

— (with Lebedev, D. R.; Morozov, A. Yu.) Possible implications of integrable systems for 
string theory. 92a:81177 

— (with Makeenko, Yu.; Marshakov, A. V.; Mi , A. D.; Mi , A. Yu.; Orlov, A. Yu.) 
Matrix models as integrable systems: from universality to geometrodynamical principle of 
string theory. 92j:81272 

Gervais, Jean-Loup Lie and quantum group structures common to integrable and conformal 
theories. (see 92h:81009) 

Gesztesy, F. (with Schweiger, W.; Simon, Barry) Commutation methods applied to the 
mKdV-equation. 92b:35132 

Ghose, Chandana see Roy Chowdhury, A., 92b:35150 

Gibbon, John D. Why the NLS equation is simultaneously a success, a mediocrity and a 
failure in the theory of nonlinear waves. (see 92f:58090) 

Ginsparg, P. (with Goulian, M.; Plesser, M. R.; Zinn-Justin, J.) (p,q) string actions. 
92b:81173 

— (with Zinn-Justin, J.) Large order behavior of nonperturbative gravity. 92b:81174 

Gomes, J. F. see Aratyn, H.; et al., 92a:81165 

Gémez, César see Alvarez-Gaumé, Luis; et al., 92a:81162 

Goulian, M. see Ginsparg, P.; et al., 92b:81173 

Gragert, Peter K. H. (with Kersten, Paul H. M.) Graded differential geometry in REDUCE: 
supersymmetry structures of the modified KdV equation. 92h:58003 

— see also Kersten, Paul H. M., (92f:81008) 

Grammaticos, B. see Ramani, A., 92d:35259 

Grinevich, P.G. (with Orlov, A. Yu.) Virasoro action on Riemann surfaces, Grassmanni- 
ans, det 9, and Segal-Wilson t-function. 92f:32035 

Grisaru, Marcus T. (with Lerda, Alberto; Penati, S.; Zanon, D.) Renormalization group 
flows in generalized Toda field theories. 92b:81126a 

— (with Penati, S.) Renormalization group flows in generalized Toda field theories. II. 
Nonsimply laced algebras. 92b:81126b 

(Gu, Chao Hao) see Nonlinear physics, 92b:00043 

Gu, Xin Shen Double Darboux transformation for AKNS hierarchy. 92i:35118 

Gurevich, D. I. Equation de Yang-Baxter et quantification des cocycles. (English summary) 
[The Yang-Baxter equation and quantization of cocycles] 92g:17028 

Hai, Wen Hua Canonical Backlund transformations and new solutions of some field 





58F Ordinary differential equations on manifolds; dynamical systems 


equations. 92a:58126 

Haine, Luc see Flaschka, Hermann, 92c:22040 

Hammack, Joseph L. see Segur, Harvey; et al., 92c:76011 

Hayashi, Nakao Solutions of the (generalized) Korteweg-de Vries equation in the Bergman 
and the Szegé spaces on a sector. 92f:35127 

Hayashi, Nobuharu Conformal integrable field theory from WZNW via quantum Hamilton- 
ian reduction. 92k:81179 

Hernandez Heredero, R. see Martinez Alonso, L.; et al., 92b:35144 

van den Hijligenberg, N. W. see Roelofs, G. H. M., 92e:58195 

Hirota, Ryogo (with Ohta, Yasuhiro) Hierarchies of coupled soliton equations. I. 
92b:35130 

Hollowood, Tim see Evans, Jonathan, 92h:81150 

Hou, Bo Yu (with Li, Wei’) The relationships between inverse scattering techniques and 
conformal symmetry transformations in certain nonlinear systems. 92b:58214 

— (with Chao, Liu; Yang, Huan Xiong) Sine-Gordon and affine Toda fields as non- 
conformally constrained WZNW model. 92f:81170 

— see also Li, Wei’ , 924:83032 

Hu, Xing Biao (with Li, Yong>) Some results on the Caudrey-Dodd-Gibbon-Kotera-Sawada 
equation. 92d:35250 

Huang, Wen-Jui see Das, Ashok, 92d:58065 

Ichikawa, Yoshi H. see Konno, Kimiaki; et al., 92d:35238 

Inami, Takeo (with Izawa, Ken-Iti) Super-Toda theory from WZNW theories. 92i:81286 

Ito, Hidekazu On singularities of analytic integrable systems and Birkhoff normal form. 
92e:58188 

It-s, A. R. (with Kitaev, A. V.; Fokas, Athanassios S.) An isomonodromy approach to the 
theory of two-dimensional quantum gravity. (Russian) 92c:81166 

Izawa, Ken-Iti see Inami, Takeo, 92i:81286 

Jatkar, Dileep P. SU(2) WZW correlators and the KdV equation. 92¢:81168 

Johnson, Clifford V. see Dalley, Simon; et al., 92d:81118 

Kac, Victor G. * Infinite-dimensional Lie algebras. 92k:17038 

Kakutani, Tsunehiko see Yoshinaga, Takao; et al., 92k:35239 

Kalashnikov, V. V., Jr. A geometric description of the Fomenko minimax invariants of 
integrable Hamiltonian systems on S>, RP?, S' x S?, T3. (Russian) 92k:58081 

Kantor, I. L. Connection between Poisson brackets and Jordan and Lie superalgebras. 
92f:17040 

Kappeler, Thomas Fibration of the phase space for the Korteweg-de Vries equation. (French 
summary) 92k:58212 

Katanaev, M. O. Complete integrability of two-dimensional gravity with dynamical torsion. 
92a:81180 

Kawai, Hikaru see Fukuma, Masafumi; et al., 92f:81124 

Kersten, Paul H. M. (with Gragert, Peter K. H.) Graded differential geometry in REDUCE 
3 and symmetries of super KdV equation. (see 92f:81008) 

— see also Gragert, Peter K. H., 92h:58003 

Kharchev, S. M. (with Marshakov, A. V.; Mironov, A. D.; M , A. Yu.; Zabrodin, A.) 
Unification of all string models with c < | in the framework of generalized Kontsevich 
model. (Russian) 92k:81182 

Khristov, E. Kh. (with Yordanov, R.G.) On the linearized nonlinear evolution equations 
associated with Zakharov-Shabat system. 92i:35110 

— see also Zhidkov, E. P., 92i:58145 

Kitaev, A. V. see It-s, A. R.; et al., 92c:81166 

Kobayashi, Ken-ichiro Quantum extension of symmetry in N = 2 supersymmetric theory. 
92h:81178 

Koca, Mehmet (with Mussardo, Giuseppe) Mass formulae in Toda field theories. 
92¢:81173 

Konno, Kimiaki (with Mituhashi, Mituo; Ichikawa, Yoshi H.) Soliton on thin vortex 
filament. 924:35238 

— Conservation laws of modified Sawada-Kotera equation in complex plane. 92k:35268 

Konopel’chenko, B. G. (with Strampp, Walter) The AKNS hierarchy as symmetry constraint 
of the KP hierarchy. 92¢:35108 

— (with Dubrovskii, V.G.) Inverse spectral transform for the modified Kadomtsev- 
Petviashvili equation. 92k:35244 

— see also Dubrovskiil, V. G., 92i:35108 

K Sch bach, Yvette (with Magri, Franco) Poisson-Nijenhuis structures. (French 
summary) 92b:17026 

Kozlov, Valerii V. * Integrable and nonintegrable Hamiltonian systems. 92i:58061 

Kreuzer, Maximilian Correlation functions and phase structure of the three-matrix model. 
92e:81233 

Krichever, Igor M. The averaging procedure for the soliton-like solutions of integrable 
systems. 92i:35105 

ten Kroode, A. P.E. The homogeneous realization of L(Ao) over A) and the Toda lattice. 
92e:17034 

ten Kroode, Fons (with van de Leur, Johan) Representations of the infinite matrix algebra. 
92b:17033 

La, HoSeong Geometry of Virasoro constraints in nonperturbative 2-d quantum gravity. 
92k:81185 

— Symmetries in nonperturbative 2-d quantum gravity. 92h:81156 

Lacki, J. see Alvarez-Gaumé, Luis; et al., 92a:81162 

Lambert, F. (with Willox, R.) Combinatorial properties of some hierarchies of NLPDEs 
with two-soliton potential solutions. 92m:35236 

Langer, Christian see Strampp, Walter, 92g:35205 

Leach, P.G. L. see Flessas, G. P., 92i1:34004 

Lebedev, D. R. see Gerasimov, A. A.; et al., 92a:81177 and 92c:81160 

LeClair, André see Ahn, Changrim; et al., 92a:81161 

Lee, Jong Eao Riemann surface theory in the nonlinear evolution equations. 92k:35236 

Leon, Jéréme Jp. see Boiti, M.; et al., 92b:35129 and Pempinelli, F.; et al., 92g:58114 

Lerche, W. see Fendley, Paul; et al., 92e:81223 

Lerda, Alberto see Grisaru, Marcus T-.; et al., 92b:81126a 

Lerman, L. M. see Eleonskii, V. M., 92j:58096 

van de Leur, Johan see ten Kroode, Fons, 92b:17033 











58F07 


Levi, D. Integrable systems and water waves. An example of symmetry analysis applied to a 
physical problem. 924:58183 

Li, Keke Recursion relations in topological gravity with minimal matter. 92i:81295 

Li, Luen Chau (with Parmentier, Serge) Modified structures associated with Poisson Lie 
groups. 92h:58069 

— see also Deift, Percy, 92i:58168 

Li, Wei’ (with Hou, Bo Yu) The Riemann-Hilbert problem approach to a representation of 
the Virasoro group. II. 92d:83032 

— see also Hou, Bo Yu, 92b:58214 

Li, YiShen see Chen, Deng Yuan; et al., 92c:58135; Cheng, Yi!, 92d:35243; Chen, Deng 
Yuan; et al., 92e:58194; Cheng, Yi', 92k:35266; Zeng, Yun Bo; et al., 92k:35270 and 
Nonlinear physics, 92b:00043 

Li, Yong’ see Hu, Xing Biao, 924:35250 

Lina, Jean-Marc (with Panigrahi, Prasanta K.) Lax pair and cosmological constant for 
induced 2D-gravity in the light-cone gauge. 92i:81297 

Linetskii, V. Ya. see Fradkin, E. S., 92f:81047 

Liu, Jie> see Zhang, De Gang; et al., 92c:82027 

Liu, Qi Ming Transformation for the solutions of the two-dimensional Toda lattice. 
92h:58180 

— Double Wronskian solutions of the AKNS and the classical Boussinesq hierarchies. 
92g:35195 

Lou, Sen Yue Generalized Boussinesq equation and KdV equation—Painlevé properties, 
Backlund transformations and Lax pairs. 92m:35237 

— see also Chen, De Fang; et al., 92g:35189 

Ma, Wen Xiu The confocal involutive system and the integrability of the nonlinearized Lax 
systems for AKNS hierarchy. 92b:35148 

— Poisson manifolds and classical Hamiltonian operators. 92e:58071 

Magri, Franco see K Schwarzbach, Yvette, 92b:17026 

Maillet, Jean-Michel New algebraic canonical structures of integrability in 2-D field 
theories. (see 92b:81011) 

— see also Freidel, L., 92h:17013 

Makeenko, Yu. (with Marshakov, A. V.; Mironov, A. D.; Morozov, A. Yu.) Continuum 
versus discrete Virasoro in one-matrix models. 92k:81133 

— see also Gerasimov, A. A.; et al., 92j:81272 

Mansfield, Paul (with Spence, B.) Toda theories, W -algebras, and minimal models. 
92j:81288 

Marshakov, A. V. see Gerasimov, A. A.; et al., 92j:81272; Makeenko, Yu.; et al., 92k:81133 
and Kharchev, S. M.; et al., 92k:81182 

Martellini, Maurizio see Bonora, Loriano; et al., 92b:81166 and 92d:81116 

Martina, L. see Pempinelli, F.; et al., 92g:58114 

Martinec, Emil J. On the origin of integrability in matrix models. 92g:81180 

Martinez Alonso, L. (with Medina Reus, E.; Hernandez Heredero, R.) Multidimensional 
localized coherent structures in the bilinear formalism of integrable systems. 92b:35144 

— (with Medina Reus, E.) Exotic coherent structures in the Davey-Stewartson equation. 
92k:35260 

Masuda, Mitsuhiro see Yoshinaga, Takao; et al., 92k:35239 

Matayoshi, Seitaro see Sakuda, Yasuhiro, 92i:35106 

Mathieu, Pierre KdV type equations in conformal field theory and subcritical strings. 
92m:81261a 

— (with Sénéchal, David) KdV type equations in subcritical strings. 92m:81261b 

— (with Sénéchal, David) Tachyonic Hermitian one-matrix models. 92c:81184 

— (with Sénéchal, David) A well-defined multicritical series in Hermitian one-matrix 
models. 92h:81158 

— (with Walton, Mark A.) Integrable perturbations of N = 2 superconformal minimal 
models. 92i:81299 

Mathur, S. D. see Fendley, Paul; et al., 92e:81223 

McLaughlin, David W. see Ercolani, Nicholas M., 92£:58135 

Medina Reus, E. see Martinez Alonso, L.; et al., 92b:35144 and 92k:35260 

Menyuk, Curtis R. Autonomous Hamiltonian deformations and optical fibers. 92e:78024 

Mikhalév, V.G. A generalization of the Kac-Moody algebras with a parameter on an 
algebraic curve and perturbations of solitons. 92a:17039 

— Differential-geometric structures in the theory of two-dimensional integrable equations. 
(Russian. English summary) 92b:35149 

Miranda Filho, R.C. (with Andrade, R. F. S.) Normal form analysis of integrable 
Hamiltonian systems. 92h:58178 

Mironov, A. D. see Gerasimov, A. A.; et al., 92j:81272; Makeenko, Yu.; et al., 92k:81133 and 
Kharchev, S. M.; et al., 92k:81182 

Mituhashi, Mituo see Konno, Kimiaki; et al., 92d:35238 

Montano, David (with Rivlis, Gil) Solving (1,q) KdV gravity. 92g:81181 

Moore, Gregory W. Geometry of the string equations. 92a:81184 

— see also Frenkel, Igor B., 92e:17015 and Crnkovi¢, Cedomir, et al., 92k:81132 

Morozov, A. Yu. Integrable systems and double-loop algebras in string theory. 92i:81301 

— see also Gerasimov, A. A.; et al., 92a:81177; 92c:81160; 92j:81272; Makeenko, Yu.; et al., 
92k:81133 and Kharchev, S. M.; et al., 92k:81182 

Morris, T. R. see Dalley, Simon; et al., 92d:81118 

Mulase, Motohico A new super KP system and a characterization of the Jacobians of 
arbitrary algebraic super curves. 92k:14028 

Musette, M. (with Conte, R.) Algorithmic method for deriving Lax pairs from the invariant 
Painlevé analysis of nonlinear partial differential equations. 92k:35269 

Mussardo, Giuseppe see Koca, Mehmet, 92c:81173 

Nakayama, Ryuichi see Fukuma, Masafumi; et al., 92f:81124 

Nakayashiki, Atsushi Structure of Baker-Akhiezer modules of principally polarized abelian 
varieties, commuting partial differential operators and associated integrable systems. 
92}:14056 

Narain, K.S. see Gava, Edi, 92i:81276 

Narita, Kazuaki Soliton solution for discrete Hirota equation. 924:39013 

— Soliton solutions for discrete Hirota equation. II. 92g:39002 

Nijhoff, Frank see Quispel, G. R. W., 92m:81057 

Nishigaki, Shinsuke (with Yoneya, Tamiaki) The double-scaling limit of O(N) vector 
models and the KP hierarchy. 92m:81200 





GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


(Oesterlé, Joseph) see Treibich, A., 92f:14026 

Ogura, Waichi Mapping between Toda and KdV flows in the Hermitian matrix model. 
92c:81186 

Ohta, Yasuhiro see Hirota, Ryogo, 92b:35130 

Olver, Peter J. Recursion operators and Hamiltonian systems. 92j:58094 

Orlov, A. Yu. see Grinevich, P. G., 92f:32035 and Gerasimov, A. A.; et al., 92j:81272 

Panigrahi, Prasanta K. see Lina, Jean-Marc, 92i:81297 

Papachristou, C. J. Recursion operator and current algebras for the potential SL(N, C) self- 
dual Yang-Mills equation. 92d:81049 

Paquin, Gérald Les symétries de Kac-Moody-Virasoro d’une équation d’ondes longues 
dispersives en 2 + 1 dimensions. [The Kac-Moody-Virasoro symmetries of a dispersive 
long wave equation in 2 + 1 dimensions] 92¢:58186 

Park, Q-Han Integrable deformation of self-dual gravity. 92m:81172 

Parmentier, Serge see Li, Luen Chau, 92h:58069 

Pempinelli, F. (with Boiti, M.; Leon, Jéréme Jp.; Martina, L.) Backlund transformations 
and localized solitons in multidimensions. 92g:58114 

— see also Boiti, M.; et al., 92b:35129 and 92i:58167 

Penati, S. see Grisaru, Marcus T.; et al., 92b:81126a and 92b:81126b 

Pilling, D. J. see Bullough, R. K.; et al., 92d:82055 

Plesser, M. R. see Ginsparg, P.; et al., 92b:81173 

Podkolzin, G. B. The infinitesimal object of a hypercomplex system generated by double 
cosets, and nonlinear differential equations. (Russian) 92k:22009 

Pogrebkov, A. K. see Boiti, M.; et al., 92i:58167 

Polivanov, M. K. see Boiti, M.; et al., 92i:58167 

Popov, A. G. see Poznyak, E. G., 92m:35238 

Popowicz, Z. see Chaichian, Masud; et al., 92c:17021 

Poznyak, E.G. (with Popov, A. G.) Geometry of the sine-Gordon equation. (Russian) 
92m:35238 

PreSnajder, P. see Chaichian, Masud; et al., 92c:17021 

Pressley, Andrew N. (with Segal, Graeme B.) * I'pynnpi netenb. (Russian) [Loop groups] 
92a:22024 

Prokopenya, I. N. see Doktorov, E. V., 92k:35235 

Punithavathi, P. see Tamizhmani, K. M., 92b:58209 

Qiao, Zhi Jun A commutator representation of D-AKNS hierarchies. (Chinese. English 
summary) 92m:35239 

Qiu, Zongan see Awada, Moustafa A., 92b:81163 

Quispel, G. R. W. (with Nijhoff, Frank) Integrable two-dimensional quantum mappings. 
92m:81057 

(Radul, A.O.) see Pressley, Andrew N., 92a:22024 

Ragnisco, O. see Bruschi, M.; et al., 92g:58031 

Ramani, A. (with Grammaticos, B.) The mKdV with one-half degree of nonlinearity is not 
integrable. Comment on: “A new integrable modified Korteweg-de Vries equation with 
one half degree of nonlinearity” [J. Phys. A 24 (1991), no. 1, LI-L2; MR 91k:35238] by 
Y. Xiao. 92d:35259 

Ramos, Eduardo see Figueroa-O’Farrill, José M., 92m:17009 

Rauch-Wojciechowski, Stefan Hamiltonian structures and complete integrability in 
analytical mechanics. (see 92£:58090) 

Reshetikhin, N. Yu. (with Semenov-Tyan-Shanskii, M. A.) Quantum R-matrices and 
factorization problems. 92g:17019 

Rivlis, Gil see Montano, David, 92g:81181 

Roche, Ph. Ocneanu cell calculus and integrable lattice models. 92e:82030 

Roelofs, G.H. M. (with van den Hijligenberg, N. W.) Prolongation structures for 
supersymmetric equations. 92e:58195 

Rogers, Colin Backlund transformations in soliton theory. (see 92f:58090) 

Roy Chowdhury, A. (with Ghose, Chandana) On continual Lie algebra and a new class of 
integrable nonlinear equations. 92b:35150 

— (with Burman, Sukhanya) Inverse KdV hierarchy and the soliton solution. 92k:35248 

— (with Dasgupta, N.) Pseudo-differential operators, BKP equation and Weierstrass g(x) 
function. 92h:35219 

— (with Sen, Shibani) On the Bethe ansatz approach to the quantum inverse problem for 
nonultralocal integrable systems. 92b:81030 

— see also De, Mrityunjoy, 92g:35170 and 92m:35250 

Saito, Satoru Solitons and strings. 92f:81152 

— Integrability of strings. 92m:81219 

— see also Saitoh, Noriko, 92b:81140 

Saitoh, Noriko Three-dimensional lattice model based on soliton theory. 92c:82026 

— (with Saito, Satoru) Integrable lattice gauge model based on soliton theory. 92b:81140 

Sakhnovich, A. L. The N-wave problem on the half-line. (Russian) 92j:35182 

Sakuda, Yasuhiro (with Matayoshi, Seitaro) A coupling between an envelope soliton 
equation and a bell soliton equation. I. (Japanese. English summary) 92i:35106 

Salerno, Mario see Enol'skii, V. Z., 92b:82044 

Santini, P. M. see Bruschi, M.; et al., 92g:58031 

Sasaki, Ryu see Braden, H. W.; et al., 92b:81167 

Savel’ev, M. V. (with Vershik, A.M.) A new class of infinite-dimensional Lie algebras 
(continuum Lie algebras) and associated nonlinear systems. 92h:17024 

Scheffner, Norman W. see Segur, Harvey; et al., 92c:76011 

Schilling, Randolph James The augmented divisor and isospectral pairs. 92:58137 

Schirrmacher, Arne (with Wess, Julius; Zumino, Bruno) The two-parameter deformation of 
GL(2), its differential calculus, and Lie algebra. 92¢:17019 

Schulze, Thorsten see Fuchssteiner, Benno; et al., 92i:35109 

Schweiger, W. see Gesztesy, F.; et al., 92b:35132 

Schwenk, Jochen Differential calculus for the n-dimensional quantum plane. 92g:58009 

Segal, Graeme B. see Pressley, Andrew N., 92a:22024 

Segur, Harvey (with Hammack, Joseph L.; Scheffner, Norman W.) The Kadomtsev- 
Petviashvili equation and water waves. 92c:76011 

Semenov-Tyan-Shanskii, M. A. see Reshetikhin, N. Yu., 92g:17019 

Semikhatov, A.M. Continuum reduction of Virasoro-constrained lattice hierarchies. 
92i:81219 

— Nonperturbative quantum gravity as a theory of integrable hierarchies with constraints. 
(Russian) 92e:81247 





997 1992 


Sen, Shibani see Roy Chowdhury, A., 92b:81030 

Sénéchal, David see Mathieu, Pierre, 92c:81184; 92h:81158 and 92m:81261b 

Shatashvili, S. L. see Alekseev, A. Yu., 92b:81070 

Shigemoto, Kazuyasu see Ahn, Changrim, 92c:81152 and Damgaard, P. H., 92e:81219 

Shulman, E. I. see Zakharov, V. E., 92c:35091 

Simon, Barry see Gesztesy, F.; et al., 92b:35132 

Sokolov, V. V. see Svinolupov, S. I., 92d:35129 

Song, Xing Chang Nonlinear realization of hidden symmetry U(1) and the Kac-Moody 
algebra of chiral field in curved space. 92¢:81170 

— see also Integrable systems, 92b:58002 

Spence, B. see Mansfield, Paul, 92j:81288 

Spies, Jakob * Uber den Krigever-Funktor in der Theorie der algebraischen Kurven. 
(German) [On the Krichever functor in the theory of algebraic curves] 92e:14024 

Stalyunas, K. see Valyulis, G., 92k:35238 

Strachan, I. A. B. Self-dual Yang-Mills fields and the nonlinear Schrédinger equation. 
92b:81118 

Strampp, Walter (with Langer, Christian) The KP hierarchy and aspects of the Painlevé 
property. 92g:35205 

— see also Konopelchenko, B. G., 92c:35108 

Svinolupov, S. I. (with Sokolov, V. V.) Weak nonlocalities in evolution equations. (Russian) 
92d:35129 

Tabor, M. Painlevé property for partial differential equations. (see 92f:58090) 

Tada, Tsukasa (with Yamaguchi, Masahiro) P and Q operator analysis for the two-matrix 
model. 92:81190 

Taimanov, I. A. Prym varieties of branched coverings, and nonlinear equations. (Russian) 
92a:14026 

— Prym theta functions and hierarchies of nonlinear equations. (Russian) 92k:14044 

Takasaki, Kanehisa Symmetries of hyper-Kahler (or Poisson gauge field) hierarchy. 
92b:53072 

Talon, Michel see Avan, Jean, 92j:17007 

Tamizhmani, K.M. (with Punithavathi, P.) Addendum to: “The infinite-dimensional 
Lie algebraic structure and the symmetry reduction of a nonlinear higher-dimensional 
equation” [J. Phys. Soc. Japan 59 (1990), no. 3, 843-847; MR 91¢:58160]. 92b:58209 

Timonen, J. see Bullough, R. K.; et al., 92d:82055 and 92g:82009 

Treibich, A. (with Verdier, J.-L.) Solitons elliptiques. [Elliptic solitons] 92f:14026 

Tsujishita, Toru Homological method of computing invariants of systems of differential 
equations. 92h:58184 

Tu, Gui Zhang see Bruschi, M.; et al., 92g:58031 and Nonlinear physics, 92b:00043 

Valyulis,G. (with Stalyunas, K.) Integrability and soliton solutions of equations of three- 
wave interaction. (Russian. English and Lithuanian summaries) 92k:35238 

de Vega, H. J. Yang-Baxter algebras, integrable QFT and conformal models. 92f:81125 

— Yang-Baxter algebras and quantum groups. 924:81066 

— Yang-Baxter algebras, integrable theories and quantum groups. 92k:82018 

— see also Destri, C., 92k:81173 

Verdier, J.-L. see Treibich, A., 92f:14026 

Verlinde, Erik see Dijkgraaf, Robbert; et al., 92a:81171 and 92e:81221 

Verlinde, Herman see Dijkgraaf, Robbert; et al., 92a:81171 and 92e:81221 

Vershik, A. M. see Savel’ev, M. V., 92h:17024 

Veselov, A. P. What is an integrable mapping? 92c:58119 

Vinteler, Emil Extended braid group in higher-dimensional integrable theories. 92b:20042 

Volovich, I. V. see Aref'eva, I. Ya., 92g:81080 

Wadati, Miki see Akutsu, Yasuhiro; et al., (92i:57011) 

Walton, Mark A. see Mathieu, Pierre, 92i:81299 

Wang, Zhong Hua Physics counterpart of quasiconformal transformation, two-dimensional 
quantum gravity and their symmetries. 92e:81250 

Warner, Nicholas see Fendley, Paul; et al., 92¢:81223 

Witterstam, Anders A solution to the string equation of unitary matrix models. 92e:81251 

Weiss, John Backlund transformations and the Painlevé property. 92d:58192 

— Backlund transformations and the Painlevé property. 924:58191 

— Factorization of the (2 + 1)-dimensional BLP integrable system by the periodic fixed 
points of its Backlund transformations. 92k:58248 

Wess, Julius see Schirrmacher, Arne; et al., 92e:17019 

Willox, R. see Lambert, F., 92m:35236 

(Wilson, George) see Pressley, Andrew N., 92a:22024 

Windey, Paul see Alvarez, Orlando, 92j:81222 

Winternitz, Pavel see Clarkson, Peter A., 92h:35204 

Witten, Edward Quantum field theory and the Jones polynomial. (see 92i:57011) 

— see also Dijkgraaf, Robbert, 92i:81271 

Wu, Theodore Yao-tsu see Camassa, R., 92:35125 

(Xiao, Yi) see Ramani, A., 92d:35259 

Xie, Han Guang Deformation of structure and spectrum of evolution equations. (Chinese. 
English summary) 92k:58213 

Xiong, Chuan Sheng see Bonora, Loriano, 92m:81083 

Yamaguchi, Masahiro see Tada, Tsukasa, 92f:81190 

(Yang, Chen Ning) see Braid group, knot theory and statistical mechanics, 92i:57011 

Yang, Guo Xiang see Zhang, De Gang; et al., 92c:82027 

Yang, Huan Xiong see Hou, Bo Yu; et al., 92f:81170 

Yen, Tim Virasoro constraints for D2,,,\-, Es-, E7-, Eg-type minimal models coupled to 2D 
gravity. 92k:81197 

— K@V recursion relations for the two-matrix models. 92h:81170 

Yoneya, Tamiaki see Nishigaki, Shinsuke, 92m:81200 

Yordanov, R. G. see Khristov, E. Kh., 92i:35110 

Yoshinaga, Takao (with Masuda, Mitsuhiro; Kakutani, Tsunehiko) Trapping of KdV 
solitons in sinusoidally nonuniform media with weak dissipation. 92k:35239 

Zabrodin, A. see Kharchev, S. M.; et al., 92k:81182 

Zakharov, V. E. On the dressing method. 92d:35280 

— (with Shul'man, E. I.) Integrability of nonlinear systems and perturbation theory. 
92¢:35091 

— see also integrability and kinetic equations for solitons, 92m:00028 

Zanon, D. see Grisaru, Marcus T.; et al., 92b:81126a 


58F Ordinary differential equations on manifolds; dynamical systems 


58F08 


(Zelevinskii, A. V.) see Pressley, Andrew N., 92a:22024 

Zeng, Yun Bo (with Li, Yi Shen; Chen, Deng Yuan) The hierarchy of completely integrable 
Hamiltonian systems associated with generalized Harry Dym hierarchy. (Chinese 
summary) 92k:35270 

— The generalized Neumann hierarchy associated with the energy dependent Schrodinger 
equation. 92m:35258 

Zhang, De Gang (with Yang, Guo Xiang; Liu, Jie*) Integrable deformations of the 
Heisenberg model: prolongation structure technique. 

Zhang, Michael Qiwei How to find the Lax pair from the Yang-Baxter equation. 92m:82046 

Zhang, Yao Zhong Generalized sine-Gordon theory and perturbed SL(2), WZNW model. 
92¢:81252 

— see also Bonora, Loriano; et al., 92b:81166 and 924:81116 

Zhang, You Jin Symmetries and related loop algebra and Virasoro algebra for self-dual 
Yang-Mills equation. 92e:81154 

Zheng, Yu Kun see Chan, Wai Leung, 92a:58125 

Zhidkov, E. P. (with Khristov, E. Kh.) Spectral problems of mathematical physics related 
to nonlinear equations of the KdV type. (Russian. English summary) 92i:58145 

Zhou, Xin see Deift, Percy, 92g:34112 

Zhou, Zi Xiang Determination of nondegenerate Darboux operators of first order in 1 + 2 
dimensions. 92c:58138 

Zhu, Guo Cheng see Chen, Deng Yuan; et al., 92c:58135 and 92e:58194 

Zieschang, Heiner see Fomenko, A. T., 92b:58067 

Ziglin, S. L. On polynomial first integrals of Hamiltonian systems with exponential 
interaction. (Russian) 92k:58090 

Zimerman, Abraham H. see Aratyn, H.; et al., 92a:81165 

Zinn-Justin, J. see Ginsparg, P.; et al., 92b:81173 and 92b:81174 

Zamino, Bruno see Schirrmacher, Arne; et al., 92e:17019 


Items listed otherwise than by author 

Braid group, knot theory and statistical mechanics * Braid group, knot theory and statistical 
mechanics. 92i:57011 

Conference: 
Nonlinear Physics * Nonlinear physics. 92b:00043 

Integrability and kinetic equations for solitons * MuterpupyemoctTs # KHHeTHYeCKHe 
ypaBHeHHua 218 connTouos. (Russian) [Integrability and kinetic equations for solitons] 
92m:00028 

Integrable systems * Integrable systems. 92b:58002 

Nonlinear physics * Nonlinear physics. 92b:00043 

Shanghai * Nonlinear physics. 92b:00043 

Tianjin * Integrable systems. 92b:58002 

Topological classification of integrable systems * Topological classification of integrable 
systems. 92i:58003 

Workshop: 
Integrable Dynamical System and Low-dimensional Condensed Matter Physics 

* Integrable systems. 92b:58002 


58F08 Point-mapping properties, iterations, completeness; 
dynamics of cellular automata [see also 26A18, 30D05] 


Ablowitz, Mark J. (with Herbst, B. M.; Keiser, J. M.) Nonlinear evolution equations, 
solitons, chaos and cellular automata. 92m:58070 

Abraham, Ralph H. (with Corliss, John B.; Dorband, John E.) Order and chaos in the toral 
logistic lattice. 92a:58070 

Afraimovich, V.S. (with Shereshevskii, M. A.) Topological dynamics of cellular automata. 
(Russian) 92g:58061 

Alseda i Soler, Lluis (with Llibre, Jaume) Kneading theory of Lorenz maps. 92c:58056 

— (with Moreno, José Miguel) Lower bounds of the topological entropy of maps of Y. 
92e:58106 

Ariyasu, J.C. see Eykholt, R., 92h:58103 

Azmy, Y. Y. (with Protopopescu, V.) On the dynamics of a discrete reaction-diffusion 
system. 92k:58134 

Bandt, Christoph Self-similar sets. V. Integer matrices and fractal tilings of R”. 92d:58093 

Blish, Sharon L. (with Curry, James H.) On the geometry of factorization algorithms. 
92a:58071 

Blokh, A. M. (with Coven, Ethan M.; Misiurewicz, Michal; Nitecki, Zbigniew) Roots of 
continuous piecewise monotone maps of an interval. 92i:58086 

Borcherds, P. H. (with McCauley, G. P.) Nearly straight line trajectories of the standard 
map with twist. 92h:58100 

Brown, Archibald Conditions for local reversibility. 92i:58087 

Brucks, K. M. (with Diamond, Beverly; Otero-Espinar, M. V.; Tresser, Charles) Dense 
orbits of critical points for the tent map. 92e:58107 

— (with Misiurewicz, Michal; Tresser, Charles) Monotonicity properties of the family of 
trapezoidal maps. 92e:58108 

— (with Diamond, Beverly) Monotonicity of auto-expansions. 92h:58101 

Bullett, Shaun Dynamics of the arithmetic-geometric mean. 92g:58062 

Bunimovich, L. A. (with Gupalo, D. Yu.; Ostrovskii, A. G.; Piterbarg, L. I.) Estimation of 
the parameters of nonlinear lattice models. (Russian. English summary) 92i:58088 

Chen, Fang Yue Nonexistence of concave analytic solutions to Feigenbaum functional 
equations. (Chinese) 

Corliss, John B. see Abraham, Ralph H.; et al., 92a:58070 

Coven, Ethan M. (with Hidalgo, Melissa C.) On the topological entropy of transitive maps 
of the interval. 92h:58102 

— see also Blokh, A. M.; et al., 92i:58086 

Curry, James H. see Blish, Sharon L., 92a:58071 

Delbourgo, R. (with Kenny, Brian G.) Relations between universal scaling constants for the 
circle map near the golden mean. 92e:58109 

Diamond, Beverly see Brucks, K. M.; et al., 92e:58107 and 92h:58101 

Diamond, Phil Iterated maps on discretized meshes of the unit interval. 92b:58113 

Ding, E Jiang (with Li, Yan Nan) Universal scaling behavior in the weakly coupled map 
lattice. 92i:58089 





58F08 


Dong, Xiaoying Iteration of a composition of exponential functions. 92c:58057 

Dorband, John E. see Abraham, Ralph H.; et al., 92a:58070 

Eykholt, R. (with Ariyasu, J.C.) Analytic determination of stationary patterns of cellular 
automata. 92h:58103 

Fedorenko, V. V. (with Smital, J.) Maps of the interval Ljapunov stable on the set of 
nonwandering points. 92g:58063 

— see also Sharkovskii, A. N., 92i:58092 

Feigenbaum, Mitchell J. Presentation functions and scaling function theory for circle maps 
[MR 90h:58047]. (see 92c:58001) 

Friedman, Eric J. Structure and uncomputability in one-dimensional maps. 92k:58135 

Gacs, Péter A Toom rule that increases the thickness of sets. 92f:58091 

Gedeon, Toma5 A counterexample to a Fedorenko statement. 92g:58064 

Gruber, Peter Manfred Convex billiards. 92a:58072 

Gupalo, D. Yu. see Bunimovich, L. A.; et al., 92i:58088 

Hattori, Tetsuya (with Takesue, Shinji) Additive conserved quantities in discrete-time 
lattice dynamical systems. 92g:58065 

He, Lian Fa (with Niu, Dong Xiao) The iterative roots for a class of self mappings on S!. 
(Chinese summary) 92b:58114 

Heinemann, V. see Sankat, K., 92j:58056 

Herbst, B. M. see Ablowitz, Mark J.; et al., 92m:58070 

Hidalgo, Melissa C. see Coven, Ethan M., 92h:58102 

Hsu, Chieh Su (with Kreuzer, E.; Kim, M. C.) Bifurcation characteristics of piecewise 
linear mappings and their implications. 92a:58073 

Hurley, Mike Attractors in restricted cellular automata. 92i:58090 


Jankova, Katarina (with Polakovit, Marcel) Transitivity of expanding maps of the interval. 


(Russian and Slovak summaries) 92b:58115 

Karawatzki, R. A practical algorithm for the determination of the positions of superstable 
cycles. 92e:58110 

Keiser, J. M. see Ablowitz, Mark J.; et al., 92m:58070 

Kenny, Brian G. see Delbourgo, R., 92e:58109 

Kim, M.C. see Hsu, Chieh Su; et al., 92a:58073 

Kolyada, S. F. On dynamics of triangular maps of the square. (Russian summary) 
92k:58136 

Kook, H. (with Ling, Fu Hua; Schmidt, George) Universal behavior of coupled nonlinear 
systems. 92e:58111 

Kreuzer, E. see Hsu, Chieh Su; et al., 92a:58073 

Lahiri, Avijit Inverted period-doubling sequences in four-dimensional reversible maps and 
solutions to the renormalization equations. 92i:58091 

Lampreia, J.P. (with Rica da Silva, A.; Sousa Ramos, J.) Homology for iterated maps of 
the interval. (see 92g:00025) 

Lanford, Oscar E., III Renormalization group methods for circle mappings. (see 92f:58003) 

Liedl, Roman (with Netzer, N.) Group-theoretic and differential-geometric methods for 
solving the translation-equation. 92a:58074 

Lin, Fu Qin see La, Qin He; et al., 92d:58094 

Ling, Fu Hua see Kook, H.,; et al., 92e:58111 

Liu, Zeng Rong see Lu, Qin He; et al., 92d:58094 

Libre, Jaume see Alseda i Soler, Lluis, 92c:58056 

La, Qin He (with Xu, Zheng Fan; Lin, Fu Qin; Liu, Zeng Rong) The global bifurcation 
structure of a kind of digit mapping. (Chinese. English summary) 924:58094 

Li, Yan Nan see Ding, E Jiang, 92i:58089 

Mai, Jie Hua Unimodal orbits in continuous functions and generalization of Sarkovskii’s 
theorem. 92j:58055 

McCauley, G. P. see Borcherds, P. H., 92h:58100 

Mielke, Alexander Topological methods for discrete dynamical systems. 92h:58104 

Misiurewicz, Michal (with Nitecki, Zbigniew) Combinatorial patterns for maps of the 
interval. 92h:58105 

— see also Brucks, K. M.; et al., 92e:58108 and Blokh, A. M.; et al., 92i:58086 

Moreno, José Miguel see Alseda i Soler, Lluis, 92e:58106 

Netzer, N. see Liedl, Roman, 92a:58074 


Nishizawa, Kiyoko Convergence of a” 
English summary) 92g:58066 

Nitecki, Zbigniew see Misiurewicz, Michal, 92h:58105 and Blokh, A. M.; et al., 92i:58086 

Niu, Dong Xiao see He, Lian Fa; et al., 92b:58114 

Norton, Alec Minimal sets, wandering domains, and rigidity in the 2-torus. (see 92a:00038) 

Ostrovskii, A.G. see Bunimovich, L. A.; et al., 92i:58088 

Otero-Espinar, M. V. see Brucks, K. M.; et al., 92e:58107 

Piterbarg, L. I. see Bunimovich, L. A.; et al., 92i:58088 

Polakovit, Marcel see Jankova, Katarina, 92b:58115 

Protopopescu, V. see Azmy, Y. Y., 92k:58134 

Rhodes, Frank (with Thompson, Christopher L.) Topologies and rotation numbers for 
families of monotone functions on the circle. 92b:58116 

Rica da Silva, A. see Lampreia, J. P.; et al., (92g:00025) 

Rogers, T. D. see Shirvani, M., 92j:58057 

Sakai, Kazuhiro Diffeomorphisms with pseudo orbit tracing property. (see 92m:58003) 

Sankat, K. (with Heinemann, V.) Estimates for the set of diverging points. 92j:58056 

Sannami, Atsuro Some remarks on the Hénon map. (see 92m:58003) 

Schmidt, George see Kook, H.; et al., 92e:58111 

Schweizer, Berthold (with Sklar, A.) The baker’s transformation is not embeddable. 
92c:58058 

Sharkovskii, A. N. Classification of one-dimensional dynamical systems. 92a:58075 

— (with Fedorenko, V. V.) Types of recurrence in simple dynamical systems. (Russian) 
921:58092 

Shereshevskii, M. A. see Afraimovich, V. S., 92g:58061 

Shirvani, M. (with Rogers, T. D.) On ergodic one-dimensional cellular automata. 
925:58057 

Sklar, A. see Schweizer, Berthold, 92c:58058 

Smital, J. see Fedorenko, V. V., 92g:58063 

Sousa Ramos, J. see Lampreia, J. P.; et al., (92g:00025) 

Takesue, Shinji see Hattori, Tetsuya, 92g:58065 


and bifurcation of dynamical systems. (Japanese. 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Tangerman, F.M. see Veerman, J. J. P., 92h:58106 

Targotiski, Gyérgy Iteration theory and functional analysis. 92a:58076 

Thibault, R. Some recent results obtained in Toulouse on dynamical systems. 92a:58077 

Thompson, Christopher L. see Rhodes, Frank, 92b:58116 

Tresser, Charles see Brucks, K. M.; et al., 92e:58107 and 92e:58108 

Veerman, J. J.P. (with Tangerman, F.M.) Scalings in circle maps. I. 92h:58106 

Xu, Zheng Fan see Lu, Qin He; et al., 92d:58094 

Zhao, Ping Bo Renormalization group approximation of universal constants for period- 
doubling branching sequences. (Chinese. English summary) 92m:58071 


Items with secondary classifications in 58F08 

Abenda, S. Inverse problem for one-dimensional fractal measures via iterated function 
systems and the moment method. 92:58095 

Ablowitz, Mark J. Nonlinear evolution equations, solitons and cellular automata. 
92e:35141 

— (with Herbst, B. M.; Keiser, J. M.) Solitons, numerical chaos and cellular automata. 
92:58073 

Abraham, Ralph H. * On morphodynamics. 92c:58007 

Afraimovich, V.S. (with Nekorkin, V. 1.) * Ycrotunpbie craMoHapHble JBHKeHHA B 
wenouke Aud by3HOHHO CBAZAHHBIX OTOOpaxenun. (Russian) [Stable steady-state motions 
in a chain of diffusion-connected mappings] 92k:58137 

Amadasi, Luciano (with Casartelli, Mario) Basins of periodic orbits for elliptic maps of the 
torus. 92k:58169 

Amritkar, R. E. (with Gade, P. M.; Gangal, A. D.; Nandakumaran, V. M.) Stability of 
periodic orbits of coupled-map lattices. 92f:58138 

Baier, Gerold (with Klein, Michael) Maximum hyperchaos in generalized Hénon maps. 
92¢:58072 

Baldo, Stéphane * Introduction a la topologie des ensembles fractals. (French) [Introduc- 
tion to the topology of fractal sets] 92i:58107 

Baldwin, Stewart Some limitations toward extending Sarkovskii’s theorem to connected 
linearly ordered spaces. 92¢e:58064 

Barnsley, Michael F. (with Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz- 
Otto; Saupe, Dietmar; Voss, Richard F.) * The science of fractal images. 92a:68145 

(Bednarek, A. R.) see Ulam, Stanistaw Marcin, 92i:01033 

Berger, Marc Aron Wavelets as attractors of random dynamical systems. 92e:58127 

Bernardini, C. Functional equations, iterated mappings and clock problems. 92i:58162 

Bernhardt, C. (with Coven, Ethan M.; Misiurewicz, Michal; Mulvey, I.) Comparing 
periodic orbits of maps of the interval. 92m:58106 

Bezruchko, B. P. (with Gulyaev, Yu. V; Pudovochkin, O. B.; Seleznev, E. P.) Multistability 
in oscillation systems with period doubling and unidirectional coupling. (Russian) 
92j:58067 

Blank, M. L. Shadowing of ¢-trajectories of general multidimensional mappings. 
92m:58082 

Boccara, Nino (with Roger, M.) Block transformations of one-dimensional deterministic 
cellular automaton rules. 92¢:68138 

Bosch i Casabd, Marianna see Carcassés, J. P.; et al., 92b:58154 

Carcasses, J. P. (with Mira, Christian; Bosch i Casabd, Marianna; Sim6, Carles; Tatjer, 
J.C.) “Crossroad area-spring area” transition. I. Parameter plane representation. 
92b:58154 

Casartelli, Mario see Amadasi, Luciano, 92k:58169 

Chen, Liang! (with Li, Shi Hai) Shadowing property for inverse limit spaces. 92i:58094 

Childress, Stephen (with Klapper, Isaac) On some transport properties of baker’s maps. 
92j:58029 

Coven, Ethan M. see Bernhardt, C.; et al., 92m:58106 

(Danilov, Yu. A.) see Feder, Jens, 92h:00009 

Derrida, B. Dynamics of automata, spin glasses and neural network models. (see 92f:58003) 

Devaney, Robert L. Chaos, fractals and dynamics. 92a:58093 

— see also Barnsley, Michael F.; et al., 92a:68145 

Efremova, L.S. On the nonwandering set and center of triangular mappings with a closed set 
of periodic points on the base. (Russian) 92¢:58107 

Erber, T. (with Gavelek, D.) The iterative evolution of complex systems. 92i:58054 

Ershov, S. V. Lyap Vv exp are age in a spin space. (Russian. English 
summary) 92f:58098 

Evans, Michael Jon (with Humke, Paul D.; Lee, Cheng Ming; O’Malley, Richard J.) 
Corrigendum to: “Characterizations of turbulent one-dimensional mappings via w-limit 
sets” [Trans. Amer. Math. Soc. 326 (1991), no. 1, 261-280; MR 91j:58133]. 92m:58085 

Fetkan, Michal On the existence of homoclinic points. 92k:58190 

Feder, Jens * ®paxtanpi. (Russian) [Fractals] 92h:00009 

Fedorenko, V. V. Dynamics of mappings of an interval with zero topological entropy on a 
set of chain recurrent points. (Kussian) 92g:58070 

(Fisher, Yuval) see Barnsley, Michael F.; et al., 92a:68145 

Fokkink, Robbert J. (with Oversteegen, Lex G.) A recurrent nonrotational homeomor- 
phism on the annulus. 92m:54071 

Fontich, E. On the existence of homoclinic points for conservative diffeomorphisms. 
924:58178 

Forness, John Erik (with Gavosto, Estela A.) Existence d’attracteurs étranges pour 
certaines applications de Hénon. (English summary) [Existence of strange attractors for 
some Hénon mappings] 92m:58086 

Fruchard, Augustin Canards discrets. (English summary) [Discrete canards] 92m:58099 

Fuchssteiner, Benno Filter automata admitting oscillating carrier waves. 92j:68083 

Gade, P.M. see Amritkar, R. E.; et al., 92f:58138 

Gangal, A. D. see Amritkar, R. E.; et al., 92f:58138 

Garcia-Pelayo, Ricardo (with Schieve, William C.) Noisy fractals. 92k:58157 

Gavelek, D. see Erber, T., 92i:58054 

Gavosto, Estela A. see Forness, John Erik, 92m:58086 

Geller, William (with Tolosa, Juan) Maximal entropy odd orbit types. 92e:58163 

Gilbert, William J. The complex dynamics of Newton’s method for a double root. 
929:65056 

Goles Ch., Eric Sand pile automata. (French summary) 92m:68084 








999 1992 


Goryainov, V. V. Fractional iterates of functions that are analytic in the unit disk with given 
fixed points. (Russian) 92m:30049 

Gu, Xiao Ping An upper bound for the Hausdorff dimension of a hyperbolic set. 92j:58076 

Gulyaev, Yu. V see Bezruchko, B. P.; et al., 92j:58067 

Gunaratne, Gemunu H. Universality beyond the onset of chaos. 92f:58110 

(Hendry, Barbara) see Ulam, Stanislaw Marcin, 92i:01033 

Herbst, B. M. see Ablowitz, Mark J.; et al., 92f:58073 

Hess, Benno see Markus, Mario, (92m:58093) 

Humke, Paul D. see Evans, Michael Jon; et al., 92m:58085 

Hurley, Mike Ergodic aspects of cellular automata. 92d4:58121 

Isola, Stefano (with Politi, Antonio) Universal encoding for unimodal maps. 924:58058 

Iwanik, Anzelm Independence and scrambled sets for chaotic mappings. 92k:58176 

Jen, Erica Exact solvability and quasiperiodicity of one-dimensional cellular automata. 
92j:68084 

Kaneko, Kunihiko Globally coupled circle maps. 92i:58118 

Keiser, J. M. see Ablowitz, Mark J.; et al., 92f:58073 

Klapper, Isaac see Childress, Stephen, 92j:58029 

Klein, Michael see Baier, Gerold, 92c:58072 

(Koch, Christof) see Weisbuch, Gérard, 92i:68135 

Kuznetsov, S. P. (with Sataev, I. R.) New types of critical dynamics for two-dimensional 
maps. 92k:58179 

Lee, Cheng Ming see Evans, Michael Jon; et al., 92m:58085 

Levin, Genadii Mironovich Bases of functions, generated by polynomial iterations. 
(Russian) 92a:30028 

Li, Shi Hai Relations between chain recurrent points and turning points on the interval. 
92h:58160 

— see also Chen, Liang’, 92i:58094 

Lipscomb, Stephen L. (with Perry, J.C.) Lipscomb’s L(A) space fractalized in Hilbert’s 
[?(A) space. 92:54051 

Lowenstein, J. H. Scaling dynamics of deep orbits in a periodic stochastic web. 92e:58137 

Li, Shu Chen (with Xia, De Yong) The fractal basin boundary of two-dimensional cubic 
mappings. (Chinese. English summary) 92g:58078 

Mandelbrot, Benoit B. see Barnsley, Michael F.; et al., 92a:68145 and Feder, Jens, 92h:00009 

Mantica, Giorgio (with Sloan, Alan) Chaotic optimization and the construction of fractals: 
solution of an inverse problem. 92b:28011 

Markus, Mario (with Hess, Benno) Properties of modulated one-dimensional maps. (see 
92m:58093) 

Mather, John N. Variational construction of orbits of twist diffeomorphisms. 924:58139 

(McGuire, Michael) see Barnsley, Michael F.; et al., 922:68145 

Menyhard, Nora Order and disorder in cellular automata. 92¢:68140 

Messano, Basilio Global convergence and nonexistence of periodic points of period 4. 
92a:39009 

Mira, Christian see Carcassés, J. P.; et al., 92b:58154 

Misiurewicz, Michal see Bernhardt, C.; et al., 92m:58106 

Moore, Cristopher Generalized one-sided shifts and maps of the interval. 92i:58055 

Mulvey, I. see Bernhardt, C.; et al., 92m:58106 

Nagatani, Takashi Deterministic avalanches on a branching Koch curve. 92h:58183 

Nandakumaran, V. M. see Amritkar, R. E.; et al., 92f:58138 

Nekorkin, V.1. see Afraimovich, V. S., 92k:58137 

O’Malley, Richard J. see Evans, Michael Jon; et al., 92m:58085 

Oversteegen, Lex G. see Fokkink, Robbert J., 92m:54071 

Peitgen, Heinz-Otto see Barnsley, Michael F.; et a!., 92a:68145 

Perry, J.C. see Lipscomb, Stephen L., 92j:54051 

Petek, Peter A correction to: “Cayley’s problem” [Appl. Math. 35 (1990), no. 2, 140-146; 
MR 90m:58019]. 92e:58179 

Pikovskii, A.S. (with Shekhov, V.G.) Universal behaviour of two coupled circle maps. 
92a:58101 

Politi, Antonio see Isola, Stefano, 92d:58058 

Pudovochkin, O. B. see Bezruchko, B. P.; et al., 92j:58067 

Rachinskii, D. I. Singular points of point mappings. (Russian) 92k:58167 

Ringland, John (with Schell, Mark) Genealogy and bifurcation skeleton for cycles of the 
iterated two-extremum map of the interval. 92h:58161 

Roger, M. see Boccara, Nino, 92e:68138 

(Ryckebusch, Sylvie) see Weisbuch, Gérard, 92i:68135 

Sataev, 1. R. see Kuznetsov, S. P., 92k:58179 

Saupe, Dietmar see Barnsley, Michael F.; et al., 92a:68145 

Schell, Mark see Ringland, John, 92h:58161 

Schieve, William C. see Garcia-Pelayo, Ricardo, 92k:58157 

Seleznev, E. P. see Bezruchko, B. P.; et al., 92j:58067 

Shekhov, V. G. see Pikovskii, A. S., 92a:58101 

Shibayama, Kenshin Connections of periodic orbits in the parameter space of the Lozi 
family. 92c:58108 

(Shukurov, A.) see Feder, Jens, 92h:00009 

(Simmons, L. M., Jr.) see Weisbuch, Gérard, 92i:68135 

Sim6, Carles see Carcasses, J. P.; et al., 92b:58154 

Sloan, Alan see Mantica, Giorgio, 92b:28011 

Stephenson, John High-order cycles in the logistic map or centers of cardioids in the 
Mandelbrot set. 92c:58116 

Stephenson, John W. (with Wang, Yong) Relationships between the solutions of Feigen- 
baum’s equation. 92g:39003 

— (with Wang, Yong) Relationships between eigenfunctions associated with solutions of 
Feigenbaum’s equation. 92g:39004 

Tanikawa, Kiyotaka see Yamaguchi, Yoshihiro, 92i:58140 

Tatjer, J.C. see Carcasses, J. P.; et al., 92b:58154 

Tolosa, Juan see Geller, William, 92e:58163 

(Ulam, Francoise) see Ulam, Stanistaw Marcin, 92i:01033 

Ulam, Stanislaw Marcin * Analogies between analogies. 92i:01033 

Urias, Jestis An algebraic measure of complexity. 92b:68052 

Voss, Richard F. see Barnsley, Michael F ; et al., 922:68145 

Wang, Yong see Stephenson, John W., 92g:39003 and 92g:39004 


58F Ordinary differential equations on manifolds; dynamical systems 


Weisbuch, Gérard * Complex systems dynamics. 92i:68135 

Whiston, G. S. Singularities in vibro-impact dynamics. 92m:58080 

Xia, De Yong see Li, Shu Chen; et al., 92g:58078 

Yamaguchi, Yoshihiro (with Tanikawa, Kiyotaka) Heteroclinic intersection without the first 
tangency in two-dimensional maps. 92i:58140 

Zdun, Marek Cezary On C’ iteration groups. 92a:58116 

Zeegers, Th. On the existence of infinite period-doubling sequences in a class of 4D semi- 
symplectic mappings. 92i:58137 

Zheng, Wei Mou Symbolic dynamics for the circle map. 92e:58065 

Zhou, Ziliang New method on bifurcation and chaos of the logistic model. 92c:58091 


Items listed otherwise than by author 


Bibliography: 
Ulam, S. M. see Ulam, Stanislaw Marcin, 92i:01033 


58F09 Morse-Smale systems 


Palis, J. Gradient flows. 92e:58112 

Przytycki, Feliks Chaos after bifurcation of a Morse-Smale diffeomorphism through a one- 
cycle saddle-node and iterations of multivalued mappings of an interval and a circle. 
92b:58117 


Items with secondary classifications in 58F09 


Franks, John (with Llibre, Jaume) Periods of surface homeomorphisms. 92j:58085 

Hirsch, Morris W. Systems of differential equations that are competitive or cooperative. IV. 
Structural stability in three-dimensional systems. 92h:58109 

Lakshmanan, M. see Parthasarathy, S., 92g:70019 

Llibre, Jaume see Franks, John, 92j:58085 

Matsumoto, Shigenori (with Sato, Atsushi) Flows and transverse foliations. 92c:57026 

McCord, Christopher Poincaré-Lefschetz duality for the homology Conley index. 
92e:58182 

Mosher, Lee Correction to: “Equivariant spectral decomposition for flows with a Z- 
action” [Ergodic Theory Dynamical Systems 9 (1989), no. 2, 329-378; MR 90j:58117]. 
92h:58155 

Parthasarathy, S. (with Lakshmanan, M.) Analytic structure of the damped driven Morse 
oscillator. 92g:70019 

Pliss, V. A. Relaxation oscillations in systems with switching. (Russian) 92j:58079 

Pogonysheva, V. N. Stability of an attracting set with respect to the metric R;. (Russian. 
English summary) 92e:58128 

Sato, Atsushi see Matsumoto, Shigenori, 92c:57026 

Wang, Xiaolu The C*-algebras of Morse-Smale flows on two-manifolds. 92f:58014 


58F10 Stability theory 


Abarbanel, Henry D.I. see Brown, Reggie; et al., 92d:58096 

Afraimovich, V.S. (with Nekorkin, V. 1.) * YcTotunsbie cramMoHapHbie JBHKeCHHA B 
wWenouke Aupy3HOHHO CBASAHHBIX OTOOpaxenuh. (Russian) [Stable steady-state motions 
in a chain of diffusion-connected mappings] 92k:58137 

Aldibekov, T. M. On a homomorphism of the group of real numbers into the group of 
automorphisms of a vector bundle. (Russian. English and Kazakh summaries) 92i:58093 

Armbruster, Dieter see Chossat, Pascal, 92m:58072 

Bazzani, Armando (with Marmi, Stefano) First integrals and stability estimates for 
isochronous nonresonant symplectic maps. 92d:58095 

Brown, Reggie (with Bryant, Paul H.; Abarbanel, Henry D. I.) Computing the Lyapunov 
spectrum of a dynamical system from an observed time series. 92d:58096 

Bryant, Paul H. see Brown, Reggie; et al., 92d:58096 

Chen, Liang! (with Li, Shi Hai) Shadowing property for inverse limit spaces. 92i:58094 

Chen, Zao Ping (with Liu, Pei Dong) Orbit shift stability of class of self-covering maps. 
92h:58107 

Chigur, I. I. see Kozlov, Valerii V., 92k:58143 

Choi, Sung Kyu (with Park, Jong Suh) Hyperbolic flows are topologically stable. 92a:58078 

— (with Chu, Chinku; Lee, Keon Hee) Recurrence in persistent dynamical systems. 
92£:58092 

Chossat, Pascal (with Armbruster, Dieter) Structurally stable heteroclinic cycles in a system 
with O(3) symmetry. 92m:58072 

Chu, Chinku see Choi, Sung Kyu; et al., 92f:58092 

Davydov, A. A. Structural stability of control systems on orientable surfaces. (Russian) 
92k:58138 

Eykholt, R. see Zeng, X.; et al., 92k:58147 

Fernandes, M. L. C. (with Zanolin, Fabio) Repelling conditions for boundary sets using 
Liapunov-like functions. II. Persistence and periodic solutions. 92a:58079 

Giona, Massimiliano Dynamics and relaxation properties of complex systems with memory. 
92h:58108 

Gutiérrez, Carlos (with Sotomayor, Jorge) Periodic lines of curvature bifurcating from 
Darbouxian umbilical connections. 92e:58113 

Gutkin, Eugene (with Simanyi, Nandor) Dual polygonal billiards and necklace dynamics. 
92k:58139 

Hirsch, Morris W. Systems of differential equations that are competitive or cooperative. V. 
Convergence in 3-dimensional systems. 92h:58110 

— Systems of differential equations that are competitive or cooperative. IV. Structural 
stability in three-dimensional systems. 92h:58109 

— Systems of differential equations that are competitive or cooperative. VI. A local C’ 
closing lemma for 3-dimensional systems. 92k:58140 

Holm, Darryl D. Hamiltonian structure and stability analysis. 92k:58141 

Ikeda, Hiroshi? On infinitesimal stability of endomorphisms. 92e:58114 

Jaroslawski, Robert (with Koschany, Artur; Obermair, Gustav M.) Transformation 
properties of the Lyapunov exponent of dynamical systems under diffeomorphisms. 
92b:58118 

Jiang, Ji Fa A note ona global stability theorem of M. W. Hirsch. 92b:58119 





58F10 


Kertész, V. (with Kooij, Robert E.) Degenerate Hopf bifurcation in two dimensions. 
92i:58095 

Kolyada, S. F. (with Snoha, Lubomir) On w-limit sets of triangular maps. (Russian 
summary) 92k:58142 

Kooij, Robert E. see Kertész, V., 92i:58095 

Koschany, Artur see Jaroslawski, Robert; et al., 92b:58118 

Kotus, Janina The oscillating trajectories and saddles at infinity of vector fields on open 
surfaces. 92d:58097 

Kozlov, Valerii V. (with Chigur, I. 1.) On the stability of periodic trajectories of a three- 
dimensional billiard. (Russian) 92k:58143 

Kusmartsev, F. V. Singularity of differential mappings and stability of solitons. 92a:58080 

Larsen, Jens Chr. On gradient dynamical system on semi-Riemannian manifolds. 
92e:58115 

Ledrappier, F. (with Young, L. S.) Stability of Lyapunov exponents. 92i:58096 

Lee, Keon Hee see Choi, Sung Kyu; et al., 92f:58092 

Li, Shi Hai see Chen, Liang’, 92i:58094 

Lin, Zhen Sheng C’ closing lemma. 92b:58120 

Lindenberg, Katja see Porra, Josep M.; et al., 92h:58111 

Liu, Pei Dong see Chen, Zao Ping; et al., 92h:58107 

MacKay, R.S. An extension of Zeeman’s notion of structural stability to noninvertible 
maps. 92k:58144 

Marmi, Stefano see Bazzani, Armando, 92d:58095 

Masoliver, Jaume see Porra, Josep M.; et al., 92h:58111 

Melbourne, Ian An example of a nonasymptotically stable attractor. 92f:58093 

Moriyasu, Kazumine The topological stability of diffeomorphisms. 92g:58067 

Nekorkin, V.1. see Afraimovich, V. S., 92k:58137 

Obermair, Gustav M. see Jaroslawski, Robert; et al., 92b:58118 

Odani, Kenzi Generic homeomorphisms have the POTP. 92b:58121 

Osipenko, G. S. Testing the transversality condition by the methods of symbolic dynamics. 
(Russian) 92b:58122 

Park, Jong Suh see Choi, Sung Kyu, 92a:58078 

Pielke, R. A. see Zeng, X.; et al., 92k:58147 

Pilyugin, S. Yu. The space of dynamical systems with C°-topology. (Russian) 92b:58123 

— * Introduction to structurally stable systems of differential equations. 92k:58145 

Pliss, V. A. (with Sell, George R.) Perturbations of attractors of differential equations. 
92£:58094 

Porra, Josep M. (with Masoliver, Jaume; Lindenberg, Katja) Bistability driven by 
dichotomous noise. 92h:58111 

Scheurle, Jiirgen Splitting of separatrices and chaos. 92b:58124 

Sell, George R. see Pliss, V. A., 92f:58094 

Simdnyi, Nandor see Gutkin, Eugene, 92k:58139 

Snoha, Lubomir see Kolyada, S. F., 92k:58142 

Sotomayor, Jorge see Gutiérrez, Carlos, 92e:58113 

Tang, Jun Jie Generalized expanding endomorphisms of manifolds. (Chinese) 92d:58098 

Wen, Lan The C! closing lemma for nonsingular endomorphisms. 92k:58146 

Ye, Yan Qian Relative position of the critical points of a certain cubic system and a 
generalization of the Bendixon index formula. 92a:58081 

Young, L.S. see Ledrappier, F., 92i:58096 

Zanolin, Fabio see Fernandes, M. L. C., 92a:58079 

Zeeman, E.C. Stochastic stability and classification of dynamical systems. (see 92m:58036) 

Zeng, X. (with Pielke, R. A.; Eykholt, R.) Extracting Lyapunov exponents from short time 
series of low precision. 92k:58147 


Items with secondary classifications in 58F10 


Ablowitz, Mark J. (with Herbst, B. M.) On homoclinic boundaries in the nonlinear 
Schrédinger equation. 924:35265 

Akin, Ethan The differential geometry of population genetics and evolutionary games. 
92h:92006 

Amemiya, Takashi On the global asymptotic stability of nonlinear discrete time systems 
depending on several past steps. 92g:54052 

Bazzani, Armando (with Marmi, Stefano; Turchetti, Giorgio) Nekhoroshev estimate for 
isochronous nonresonant symplectic maps. 92b:58207 

Beloqui, J. (with Pacifico, M. J.) Quasi-transversal saddle-node bifurcation on surfaces. 
92a:58104 

Boothby, W. M. (with Marino, Riccardo) The center manifold theorem in feedback 
stabilization of planar, single input systems. 92b:93060 

Borne, P. (with Richard, J.-P.) Local and global stability of attractors by use of vector 
norms. 92j:34106 

Burov, A. A. (with Karapetyan, A. V.) Existence and stability of invariant sets of dynamical 
systems. (Russian) 92k:34055 

Cheng, Jian (with Wojtkowski, Maciej P.) Linear stability of a periodic orbit in the system 
of falling balls. 92h:58065 

Ciesielski, Krzysztof (with Obtoza, Witold) Some remarks on stable sets. (Polish summary) 
(see 92c:00013) 

Contopoulos, G. (with Zachilas, L.) Complex instability in 3-D systems. 92e:58144 

Crawford, John David (with Knobloch, Edgar; Riecke, Hermann) Mode interactions and 
symmetry. 92¢:58145 

Delshams, Amadeo (with Martinez-Seara, Ma. Teresa) On the existence of homoclinic 
orbits in a family of vector fields near an equilibrium point. 92c¢:58093 

Douady, Adrien Structural stability of the Mandelbrot set. (see 92b:58003) 

Ei, S.-I. see Mimura, Masayasu; et al., 92g:92017 

Fang, Qing see Mimura, Masayasu; et al., 92g:92017 

Feng, Zhao Shu see Zhu, Si Ming; et al., 92k:54054 

Froeschlé, Claude (with Gautero, J.-L.) Linear stability and connectance for high- 
dimensional Hamiltonian and non-Hamiltonian systems. 92c:58032 

Gautero, J.-L. see Froeschlé, Claude, 92c:58032 

Grillakis, Manoussos G. (with Shatah, Jalal; Strauss, Walter Alexander) Stability theory of 
solitary waves in the presence of symmetry. II. 92a:35135 

Guckenheimer, John (with Mahalov, A.) Instability induced by symmetry reduction. 
92m:58045 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Guttalu, Ramesh S. see Skowronski, J. M., 924:58123 

Herbst, B. M. see Ablowitz, Mark J., 92d:35265 

Holmes, Philip see Stone, Emily F., 92b:34054 

Ikegami, Giké Hyperbolic endomorphisms and deformed horseshoes. 92e:58152 

Tooss, G. (with Mielke, Alexander) Reduction and normalization of hydrodynamical 
stability problems in infinitely long cylinders. 92k:76029 

Karapetyan, A. V. see Burov, A. A., 92k:34055 

Kato, Kazuhisa Hyperbolicity and pseudo-orbits for flows. 92b:58168 

Khazin, L. G. (with Shnol’, E. E.) * Stability of critical equilibrium states. 92d:34103 

Knobloch, Edgar see Crawford, John David; et al., 92e:58145 

Kolodziej, Rafat The antibilliard outside a polygon. (Russian summary) 92g:52002 

Krasil/nikov, P.S. Generalized spaces of germs of smooth solutions of a first-order equation 
and their connection with the direct Lyapunov method. (Russian) 92d:35069 

Kulik, V. L. Sign changing Lyapunov functions and perturbation of invariant tori of 
dynamical systems. 92f:34039 

Laidlaw, W. G. see Otwinowski, M.; et al., 92b:92062 

Lazutkin, V. F. The width of the instability zone around separatrices of a standard mapping. 
(Russian) 92f:58154 

Leonov, G. A. Instability in attractors that are close to two-dimensional surfaces. (Russian) 
92g:34066 

Levakov, A. A. Stability of I-systems. (Russian) 92k:54051 

Lewis, Debra (with Simo, Juan C.) A comparison of nonlinear stability analyses by energy 
methods. 92m:58047 

— (with Marsden, J. E.; Ratiu, T. S.; Simo, Juan C.) Normalizing connections and the 
energy-momentum method. 92e:58189 

Li, Ji Bin see Liu, Yi Rong; et al., 92b:58190 

Liao, Shan Tao On (7, d)-contractible orbits of vector fields. 92f:58143 

Lin, Fa Xing Almost-automorphic structurally stable [structural stability] of almost- 
automorphic differential equations. 92g:34065 

Liu, Yi Rong (with Li, Ji Bin) On the singularity values of complex autonomous differential 
systems at singular points. (Chinese) 92b:58190 

Mahalov, A. see Guckenheimer, John, 92m:58045 

Marino, Riccardo see Boothby, W. M., 92b:93060 

Marmi, Stefano see Bazzani, Armando; et al., 92b:58207 

Marsden, J. E. (with O’Reilly, O. M.; Wicklin, F. J.; Zombro, B. W.) Symmetry, stability, 
geometric phases, and mechanical integrators. I. 92e:58072 

— see also Lewis, Debra; et al., 92e:58189 

Martinez-Seara, Ma. Teresa see Delshams, Amadeo, 92c:58093 

Mielke, Alexander see looss, G., 92k:76029 

Millionshchikov, V. M. Behavior of conditional stability with parameter change. (Russian) 
92d:34097 

Mimura, Masayasu (with Ei, S.-I.; Fang, Qing) Effect of domain-shape on coexistence 
problems in a competition-diffusion system. 92g:92017 

Obloza, Witold see Ciesielski, Krzysztof, (92c:00013) 

O'Reilly, O. M. see Marsden, J. E.; et al., 92¢:58072 

Othmer, Hans G. see Watanabe, Masaji, 92j:34094 

Otwinowski, M. (with Laidlaw, W. G.; Paul, Reginald) Structural instability and sustained 
oscillations in an extended Brusselator model. 92b:92062 

Pacifico, M. J. see Beloqui, J., 92a:58104 

Palis, J. Gradient flows. 92e:58112 

Paul, Reginald see Otwinowski, M.; et al., 92b:92062 

Pelczar, Andrzej Some results on dynamical systems and their generalization. 92c:54054 

Pennings, Timothy (with Van Eeuwen, Jeffrey) Pseudo-orbit shadowing on the unit interval. 
92c:54056 

Pilyugin, S. Yu. Limit sets of domains in flows. (Russian) 92h:58169 

Ratiu, T.S. see Lewis, Debra; et al., 92e:58189 

Richard, J.-P. see Borne, P., 92j:34106 

Riecke, Hermann see Crawford, John David; et al., 92e:58145 

Samoilenko, A. M. Study of a dynamical system in a neighborhood of an invariant toroidal 
manifold. (Russian. Ukrainian summary) 92f:58152 

Scarpellini, Bruno Center manifolds of infinite dimensions. I. Main results and applications. 
92i:58170 

— Center manifolds of infinite dimensions. II. Proofs of the main results. 92i:58171 

Seibert, Peter (with Suarez, Rodolfo) Errata: “Global stabilization of nonlinear cascade 
systems” [Systems Control Lett. 14 (1990), no. 4, 347-352; MR 91b:93146] and “Global 
stabilization of a certain class of nonlinear systems” [ibid. 16 (1991), no. 1, 17-23; MR 
91m:93108]. 

Shatah, Jalal see Grillakis, Manoussos G.; et al., 92a:35135 

Shnol’, E. E. see Khazin, L. G., 92d:34103 

Simo, Juan C. see Lewis, Debra; et al., 92e:58189 and 92m:58047 

Skowronski, J. M. * Nonlinear Liapunov dynamics. 92b:34004 

— (with Guttalu, Ramesh S.) Real-time attractors. 92d:58123 

Stone, Emily F. (with Holmes, Philip) Unstable fixed points, heteroclinic cycles and 
exponential tails in turbulence production. 92b:34054 

Strauss, Walter Alexander see Grillakis, Manoussos G.; et al., 92a:35135 

Sudrez, Rodolfo see Seibert, Peter 

Thomas, Romeo F. Canonical coordinates and the pseudo-orbit tracing property. 92e:58156 

Turchetti, Giorgio see Bazzani, Armando; et al., 92b:58207 

Van Eeuwen, Jeffrey see Pennings, Timothy, 92c:54056 

Waltman, Paul A brief survey of persistence in dynamical systems. 92j:34093 

Watanabe, Masaji (with Othmer, Hans G.) Persistence of invariant tori in systems of 
coupled oscillators. II. Degenerate problems. 92j:34094 

Wen, Lan The C! closing lemma for endomorphisms with finitely many singularities. 
92¢:58109 

Wicklin, F. J. see Marsden, J. E.; et al., 92e:58072 

Winters, K. H. Bifurcation and stability: a computational approach. 92a:65339 

Wojtkowski, Maciej P. see Cheng, Jian, 92h:58065 

Zachilas, L. see Contopoulos, G., 92e:58144 

Zhu, Si Ming (with Feng, Zhao Shu) Bifurcation for invariant sets of dynamical systems in 
metric spaces. (Chinese) 92k:54054 





1001 1992 


Zombro, B. W. see Marsden, J. E.; et al., 92e:58072 


58F11 Ergodic theory; invariant measures [see also 28Dxx] 


Abenda, S. Inverse problem for one-dimensional fractal measures via iterated function 
systems and the moment method. 92£:58095 

Aizawa, Yoji (with Kikuchi, Yasuhiro) Multi-ergodic aspects of Hamiltonian dynamics. 
92¢:58059 

Amritkar, R. E. (with Gade, P.M.) Characterizing loss of memory in chaotic dynamical 
systems. 92k:58148 

Arteaga, Carlos Unique ergodicity of continuous self-maps of the circle. 92k:58149 

Baladi, V. Gibbs states and equilibrium states for finitely presented dynamical systems. 
92i:58097 

Baldwin, P. R. The billiard algorithm and KS entropy. 92i:58098 

Baldwin, Stewart On the existence of invariant measures that behave like area. 92h:58112 

Bedford, Tim (with Urbatiski, Mariusz) The box and Hausdorff dimension of self-affine 
sets. 92b:58125 

— Applications of dynamical systems theory to fractals—a study of cookie-cutter Cantor 
sets. (see 92f:58002) 

— (with Fisher, Albert M.) Analogues of the Lebesgue density theorem for fractal sets of 
reals and integers. 92j:58058 

Bessis, Daniel (with Mantica, Giorgio) Construction of multifractal in dy 
systems from their invariance properties. 

Blank, M. L. Marginal singularities, almost invariant sets, and small perturbations of 
chaotic dynamical systems. 92k:58150 

Botelho, F. Rotational entropy for annulus endomorphisms. 92i:58099 

Boyarsky, Abraham (with Gora, Pawel) The pseudo-orbit shadowing property for Markov 
operators in the space of probability density functions. 92j:58059 

— (with Lou, Y.-S.) Approximating measures invariant under higher-dimensional chaotic 
transformations. 92g:58068 

— see also Géra, Pawel, 92a:58083; 92b:58127; Byers, W.; et al., 92d:58100 and Géra, Pawel; 
et al., 92g:58071 

Bugiel, Piotr On the convergence of the iterates of the Frobenius-Perron operator associated 
with a Markov map defined on an interval. The lower-function approach. 92f:58096 

— Ergodic properties of Markov maps in R?. 

Bunimovich, L. A. Conditions of stochasticity of two-dimensional billiards. 92h:58113 

— (with Sinai, Ya. G.; Chernov, N. I.) Statistical properties of two-dimensional hyperbolic 
billiards. (Russian) 92k:58151 

Byers, W. (with Géra, Pawel; Boyarsky, Abraham) Maximal absolutely continuous 
invariant measures for piecewise linear Markov transformations. 92d:58100 

— see also Géra, Pawel, et al., 92g:58071 

Carleson, Lennart Stochastic models of some dynamical systems. 92k:58152 

Carreira, A. (with Hongler, M.-O.; Vilela Mendes, Rui) Variational formulation and 
ergodic invariants. 92d:58101 

Chernov, N.1I. The ergodicity of a Hamiltonian system of two particles in an external field. 
92i:58100 

— see also Bunimovich, L. A.; et al., 92k:58151 

Collet, Pierre Stochastic perturbations of the invariant measure of some hyperbolic 
dynamical systems. (see 92f:58003) 

Crutchfield, James P. Reconstructing language hierarchies. (see 92f:00011) 

D’Alessandro, G. see Torcini, A.; et al., 92h:58119 

Dateyama, Masahito Nonexpansive dynamical systems with unique equilibrium states. 
92e:58116 

Dawidowicz, Antoni Leon On the lifting of invariant measures. 92d:58102 

Dekking, F. Michel Substitutions, branching processes and fractal sets. (see 92f:58002) 

Deliu, Anca (with Geronimo, Jeffrey S.; Shonkwiler, R.; Hardin, D.) Dimensions associated 
with recurrent self-similar sets. 92g:58069 

Denker, Manfred (with Keller, Gerhard; Urbanski, Mariusz) On the uniqueness of 
equilibrium states for piecewise monotone mappings. 92c:58061 

— (with Urbanski, Mariusz) Absolutely continuous invariant measures for expansive 
rational maps with rationally indifferent periodic points. 92k:58154 

— (with Urbanski, Mariusz) Hausdorff and conformal measures on Julia sets with a 
rationally indifferent periodic point. 92k:58153 

— (with Urbanski, Mariusz) On Sullivan’s conformal measures for rational maps of the 
Riemann sphere. 92f:58097 

— (with Urbanski, Mariusz) On the existence of conformal measures. 92k:58155 

Donnay, Victor (with Liverani, Carlangelo) Potentials on the two-torus for which the 
Hamiltonian flow is ergodic. 92a:58082 

Easton, Robert W. Transport through chaos. 92d:58103 

Eloranta, Kari Alpha-congruence for dispersive billiards. 92k:58156 

Ershov, S. V. On the influence of small noise on one-dimensional mappings. (Russian. 
English summary) 924:58104 

— Lyapunov exponents are measure-average in a spin space. (Russian. English summary) 
92£:58098 

— Invariant measures of mappings with noise. (Russian. English summary) 92h:58114 

Fedorenko, V. V. Dynamics of mappings of an interval with zero topological entropy on a 
set of chain recurrent points. (Russian) 92g:58070 

Fisher, Albert M. see Bedford, Tim, 92j:58058 

Franzova, Nora Typical continuous function has the set of chain recurrent points of zero 
Lebesgue measure. (Russian and Slovak summaries) 92f:58099 

Gade, P.M. see Amritkar, R. E., 92k:58148 

Garcia-Pelayo, Ricardo (with Schieve, William C.) Noisy fractals. 92k:58157 

Ge, Yuzhen Scaling properties of the measure of constant topological entropy. 92¢:58062 

Geronimo, Jeffrey S. see Deliu, Anca; et al., 92g:58069 

Giona, Massimiliano D-integrals and extended ergodic theorem for fractal attractors. 
92b:58126 

Géra, Pawel Countably piecewise expanding transformations without absolutely continuous 
invariant measure. 92¢:58063 

— (with Boyarsky, Abraham; Proppe, H.) On the number of invariant measures for higher- 
dimensional chaotic transformations. 92b:58127 





58F Ordinary differential equations on manifolds; dynamical systems 


58F11 


— (with Byers, W.; Boyarsky, Abraham) Measures on periodic orbits for continuous 
transformations on the interval. 92g:58071 

— (with Boyarsky, Abraham) Computing the topological entropy of general one- 
dimensional maps. 92a:58083 

— see also Byers, W.; et al., 92d:58100 and Boyarsky, Abraham, 92j:58059 

Hardin, D. see Deliu, Anca; et al., 92g:58069 

Hata, Masayoshi Topological aspects of self-similar sets and singular functions. (see 
92£:58002) 

Hawkins, Jane M. (with Silva, Cesar E.) Noninvertible transformations admitting no 
absolutely continuous o-finite invariant measure. 92h:58115 

Haydn, Nicolai T. A. Gibbs’ functionals on subshifts. 92b:58128 

Hinz, Andreas M. (with Schief, Andreas) The average distance on the Sierpinski gasket. 
92b:58129 

Honda, Katsuya see Matsushita, Mitsugu; et al., 92i:58103 

Hongler, M.-O. see Carreira, A.; et al., 92d:58101 

Horbacz, Katarzyna Invariant densities for one-dimensional random dynamical systems. 
92m:58073 

Ishitani, Hiroshi Perron-Frobenius operator and central limit theorem. 92e:58117 

Iwanik, Anzelm Independent sets of transitive points. 92d:58105 

Keller, Gerhard Exponents, attractors and Hopf decompositions for interval maps. 
92e:58118 

— see also Denker, Manfred; et al., 92c:58061 

Keynes, Harvey B. (with Markley, Nelson G.; Sears, Michael) The structure of automor- 
phisms of real suspension flows. 92m:58074 

Kikuchi, Yasuhiro see Aizawa, Yoji, 92c:58059 

Komorowski, Tomasz Piecewise convex transformations with no finite invariant measure. 
92k:58158 

Kondah, Abdelaziz (with Nowicki, Tomasz) Conditions d’existence d’une probabilité 
invariante absol!ument continue pour des endomorphismes de l’intervalle. (English 
summary) [Conditions of existence of an absolutely continuous invariant probability 
measure for endomorphisms of the interval] 92i:58101 

Kramli, A. (with Simanyi, Nandor; Szasz, Domokos) The K-property of three billiard balls. 
92b:58130 

— (with Simanyi, Nandor; Szész, Domokos) Erratum: “A ‘transversal’ fundamental theorem 
for semi-dispersing billiards” (Comm. Math. Phys. 129 (1990), no. 3, 535-560; MR 
91b:58125]. 92e:58119 

Lesigne, Emmanuel Sur une nil-variété, les parties minimales associées a une translation 
sont uniquement ergodiques. (English summary) [On a nilmanifold whose minimal sets 
associated with a translation are uniquely ergodic] 92j:58060 

Liverani, Carlangelo see Donnay, Victor, 92a:58082 

Lou, Y.-S. see Boyarsky, Abraham, 92g:58068 

Luan, Chang Fu Baker’s transformation and its irreversibility. 92i:58102 

Mackey, Michael C. see Provatas, Nicholas, 92g:58073 and 92m:58075 

Mantica, Giorgio see Bessis, Daniel, 92c:58060 

Markley, Nelson G. see Keynes, Harvey B.; et al., 92m:58074 

Mather, John N. Differentiability of the minimal average action as a function of the 
rotation number. 92j:58061 

Matsushita, Mitsugu (with Ouchi, Shunji; Honda, Katsuya) On the fractal structure and 
statistics of contour lines on a self-affine surface. 92i:58103 

Mendoza, Leonardo Continuity of invariant measures for families of 1-dimensional maps. 
92a:58084 

Misiurewicz, Michal Persistent rotation intervals for old maps. 92c:58065 

— (with Visinescu, E.) Kneading sequences of skew tent maps. (French summary) 
92c:58064 

— (with Ziemian, Krystyna) Rotation sets and ergodic measures for torus homeomor- 
phisms. 924:58106 

Moser, Jiirgen On commuting circle mappings and simultaneous Diophantine approxima- 
tions. 92e:58120 

Newhouse, S. E. Geometric aspects of topological entropy. (see 92m:58036) 

Nowicki, Tomasz see Kondah, Abdelaziz, 92i:58101 

Ouchi, Shunji see Matsushita, Mitsugu; et al., 92i:58103 

Park, Kyewon Koh GL(2, Z) action on a two torus. 92g:58072 

Pesin, Ya. B. Generalized spectrum for the dimension: the approach based on 
Carathéodory’s construction. 92i:58104 

Politi, Antonio see Torcini, A.; et al., 92h:58119 

Pollicott, Mark Rotation sets for homeomorphisms and homology. 92h:58116 

Proppe, H. see Géra, Pawel; et al., 92b:58127 

Provatas, Nicholas (with Mackey, Michael C.) Noise-induced asymptotic periodicity in a 
piecewise linear map. 92g:58073 

— (with Mackey, Michael C.) Asymptotic periodicity and banded chaos. 92m:58075 

Puccioni, G. P. see Torcini, A.; et al., 92h:58119 

Reimann, P. (with Talkner, P.) Invariant densities for noisy maps. 92h:58117 

Rudnicki, Ryszard On a one-dimensional analogue of the Smale horseshoe. 92e:58121 

Ruelle, David The turbulent fluid as a dynamical system. (see 92f:76006) 

Schief, Andreas see Hinz, Andreas M., 92b:58129 

Schieve, William C. see Garcia-Pelayo, Ricardo, 92k:58157 

Schmitt, Bruno V. The existence of an a.c.i.p.m. for an expanding map of the interval; the 
study of a counterexample. 92d:58107 

Sears, Michael see Keynes, Harvey B.; et al., 92m:58074 

Shereshevskii, M. A. A complement to Young’s theorem on measure dimension: the 
difference between lower and upper pointwise dimensions. 92d:58108 

Shonkwiler, R. see Deliu, Anca; et al., 92g:58069 

Shub, M. (with Weiss, Benjamin) Can one always lower topological entropy? 92i:58105 

Silva, Cesar E. see Hawkins, Jane M., 92h:58115 

Simdnyi, Nandor Towards a proof of recurrence for the Lorentz process. 92f:58100 

— see also Kramii, A.; et al., 92b:58130 and 92e:58119 

Sinai, Ya. G. Finite-dimensional randomness. (Russian) 92h:58118 

— see also Bunimovich, L. A.; et al., 92k:58151 

Sivak, A. G. On the structure of the set of trajectories that preserve an invariant measure. 
(Russian) 92g:58074 





58F11 


Smillie, John The entropy of polynomial diffeomorphisms of C?. 92b:58131 

Sodin, M. L. (with Yuditskii, P.M.) The limit-periodic finite-difference operator on /7(Z) 
associated with iterations of quadratic polynomials. 92e:58122 

Suchanecki, Zdzislaw (with Weron, Aleksander) Characterizations of intrinsically random 
dynamical systems. 92d:58109 

Sun, Yi Sui see Yan, Zhi Ming; et al., 92e:58125 

Swiatek, Grzegorz Circle homeomorphisms with flat critical points. 92k:58159 

Szész, Domokos see Kramli, A.; et al., 92b:58130 and 92e:58119 

Tagi-Zade, A.T. A variational characterization of the topological entropy of continuous 
groups of transformations. The case of R” actions. (Russian) 92b:58132 

Talkner, P. see Reimann, P., 92h:58117 

Torcini, A. (with Politi, Antonio; Puccioni, G. P.; D’Alessandro, G.) Fractal dimension of 
spatially extended systems. 92h:58119 

Trubetskoi, S. E. Stochastic stability of scattering billiards. (Russian. English summary) 
924:58110 

Tsujii, Masato On the ergodic decomposition of hyperbolic measures. 92e:58123 

— Regular points for ergodic Sinai measures. 92c:58066 

Urbatiski, Mariusz see Bedford, Tim, 92b:58125; Denker, Manfred; et al., 92c:58061; 
92f:58097; 92k:58153; 92k:58154 and 92k:58155 

Vargas, Edson Markov partition in nonhyperbolic interval dynamics. 92d:58111 

— Bifurcation frequency for unimodal maps. 92k:58160 

Vetier, A. Sinai-billiard in potential field. Ergodic components. 92e:58124 

Vilela Mendes, Rui see Carreira, A.; et al., 92d:58101 

Visinescu, E. see Misiurewicz, Michal, 92c:58064 

Volevich, V. L. Kinetics of coupled map lattices. 92b:58133 

Vrscay, Edward R. Iterated function systems: theory, applications and the inverse problem. 
(see 92£:58002) 

Wedig, W. V. Lyapunov exponents and invariant measures of dynamic systems. 92d:58112 

Weiss, Benjamin see Shub, M., 92i:58105 

Weron, Aleksander see Suchanecki, Zdzistaw, 92d:58109 

Withers, W. Douglas Differentiability with respect to parameters of average values in 
probabilistic contracting dynamical systems. 92b:58134 

Yakobson, M. V. Stochastic behavior above Feigenbaum’s parameter value. 92d:58113 

Yan, Zhi Ming (with Sun, Yi Sui) On Kolmogorov entropy of some measure-preserving 
mappings. 92e:58125 

Yomdin, Y. Local complexity growth for iterations of real analytic mappings and semiconti- 
nuity moduli of the entropy. 92m:58076 

Yuditskii, P.M. see Sodin, M. L., 92e:58122 

Zhong, Xun see Zhou, Zuo Ling; et al., 92k:58161 

Zhou, Zuo Ling (with Zhong, Xun) A theorem on ergodic measures and its applications. 
(Chinese. English summary) 92k:58161 

— Some equivalent conditions for self-mappings of a circle. (Chinese) 92g:58075 

Ziemian, Krystyna see Misiurewicz, Michal, 924:58106 


Items with secondary classifications in 58F11 


Abenda, S. (with Turchetti, Giorgio) Duality in parameter space and approximation of 
measures for mixing repellers. 92b:58135 

Adler, Roy L. (with Flatto, Leopold) Geodesic flows, interval maps, and symbolic 
dynamics. 92b:58172 

Anosov, D. V. (with Aranson, S. Kh.; Grines, V. Z.; et al.) Dynamical systems with 
hyperbolic behavior. (Russian) 92k:58197 

Aranson, S. Kh. see Anosov, D. V.; et al., 92k:58197 

Ashley, Jonathan Bounded-to-1 factors of an aperiodic shift of finite type are 1-to-1 almost 
everywhere factors also. 92d:58055 

— (with Kitchens, Bruce; Stafford, Matthew) Boundaries of Markov partitions. 92k:58198 

Babenko, I. K. On the behavior of trajectories of scattering billiards on a flat torus. 
(Russian) 92b:58174 

Bauer, Wolfgang see Kusnezov, Dimitri; et al., 92a:82079 

Bedford, Eric (with Smillie, John) Polynomial diffeomorphisms of C2: currents, equilib- 
rium measure and hyperbolicity. 92a:32035 

(Bélair, Jacques) see Fractal geometry and analysis, 92f:58002 

Bessis, Daniel Orthogonal polynomials, Padé approximations and Julia sets. 92h:30051 

Biswas, Debabrata Spectral fluctuations of an irrational rhombus billiard. 92i:81065 

Blanchard, F. Extensions a fibre constante. (English summary) [Extensions with constant 
fiber] 92f:58052 

Blokh, A. M. (with Lyubich, M. Yu.) Attractors of maps of the interval. 92c:58068 

Boyle, Mike Eventual extensions of finite codes. 92¢:28015 

— (with Tuncel, Selim) Regular isomorphism of Markov chains is almost topological. 
92i:28021 

Broomhead, D.S. (with Indik, R.; Newell, Alan C.; Rand, D. A.) Local adaptive Galerkin 
bases for large-dimensional dynamical systems. 92b:58136 

Brylinski, Jean-Luc Noncommutative Ruelle-Sullivan type currents. 92e:57044 

Bulgac, Aurel see Kusnezov, Dimitri; et al., 92a:82079 

Capiriski, Marek Hopf equation for some nonlinear differential delay equation and 
invariant measures for corresponding dynamical system. 92m:34148 

Chernov, N. 1. (with Galeeva, R. F.) * Growth rate of number of periodic points in 
countable chains. 92d:58164 

— Topological entropy and periodic points of two-dimensional hyperbolic billiards. 
(Russian) 92c:58101 

— see also Galperin, G. A., 92£:58108 and Galeeva, R. F., 92k:58215 

Chumak, M. L. (with Stépin, A.M.) Partial hyperbolicity of G-induced flows. 92k:58206 

Cimagalli, Valerio see Giona, Massimiliano; et al., 92f:58109 

Collet, Pierre (with Isola, Stefano) On the essential spectrum of the transfer operator for 
expanding Markov maps. 92h:58157 

— (with Dobbertin, R.; Moussa, P.) Multifractal analysis of nearly circular Julia set and 
thermodynamical formalism. (French summary) 92k:58227 

Cosenza, M.G. (with Swift, J.B.) Influence of asymmetry on multifractal properties of 
maps. 92b:58141 

Coven, Ethan M. (with Hidalgo, Melissa C.) On the topological entropy of transitive maps 
of the interval. 92h:58102 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 1992 


Cowen, Robert Julian On expanding endomorphisms of the circle. 92d:58160 

Craig, Walter Floquet exponents for Jacobi fields. 92f:58129 

Cutler, C. D. Some results on the behavior and estimation of the fractal dimensions of 
distributions on attractors. 92b:58137 

— Erratum and addendum: “Some results on the behavior and estimation of the fractal 
dimensions of distributions on attractors” [J. Statist. Phys. 62 (1991), no. 3-4, 651-708; 
MR 92b:58137]. 

Dani, S.G. Dense orbits of horospherical flows. 92g:22017 

Denker, Manfred The central limit theorem for dynamical systems. 924:28007 

— (with Urbanski, Mariusz) Ergodic theory of equilibrium states for rational maps. 
92a:58112 

Ding, Jiu (with Li, Tien-Yien) Markov finite approximation of Frobenius-Perron operator. 
92i:47008 

Dobbertin, R. see Collet, Pierre; et al., 92k:58227 

(Dubuc, Serge) see Fractal geometry and analysis, 92:58002 

Dumas, H.S. Ergodization rates for linear flow on the torus. 92g:58109 

Evertsz, Carl J.G. see Mandelbrot, Benoit B., 92m:58124 

Flatto, Leopold see Adler, Roy L., 92b:58172 

Galeeva, R. F. (with Chernov, N. I.) Conditions for the strict exponential growth of the 
number of cycles in countable directed graphs. (Russian) 92k:58215 

— see also Chernov, N. I., 92d:58164 

(Gallavotti, Giovanni) see Nonlinear evolution and chaotic phenomena, 92£:58003 

Galperin, G. A. (with Chernov, N. I.) *& Bunsnuapgpi x xaoc. (Russian) [Billiards and chaos] 
92:58108 

Giona, Massimiliano (with Lentini, Fabrizio; Cimagalli, Valerio) Functional reconstruction 
and local prediction of chaotic time series. 92f:58109 

Golse, Francois Moyennisation des champs de vecteurs et EDP. [The averaging of vector 
fields and PDEs] 92a:35017 

Gordin, M.1. A homoclinic version of the central limit theorem. (Russian) 92k:60037 

Grines, V. Z. see Anosov, D. V.; et al., 92k:58197 

Grzegorczyk, P. (with Przytycki, Feliks; Szlenk, W.) On iterations of Misiurewicz’s rational 
maps on the Riemann sphere. 924:30017 

Hidalgo, Melissa C. see Coven, Ethan M., 92h:58102 

Hirata, Masaki (with Takahashi, YOichird) Spectrum of Perron-Frobenius operator. 
92e:58161 

Hofbauer, Franz (with Keller, Gerhard) Some remarks on recent results about S-unimodal 
maps. 92m:58077 

Honda, Katsuya (with Sato, Shinichi'; Kodama, Hiroya) Analytical approach to critical 
phenomena for dynamical properties of type-I intermittent chaos. 92b:82093 

Horak, Jiri Qualitative dynamics, scenarios of generation of chaos and homoclinic 
structures. 92d:58135 

Hurley, Mike Noncompact chain recurrence and attraction. 92j:58063 

Indik, R. see Broomhead, D. S.; et al., 92b:58136 

Isola, Stefano see Collet, Pierre, 92h:58157 

Jabloriski, Marian A central limit theorem for processes generated by a family of transfor- 
mations. 92f:60031 

Kadtke, James B. see Theiler, James; et al., 92d:58124 

Kaimanovich, V. A. Invariant measures of the geodesic flow and measures at infinity on 
negatively curved manifolds. (French summary) 92b:58176 

Katok, Anatole (with Knieper, Gerhard; Weiss, Howard N.) Formulas for the derivative 
and critical points of topological entropy for Anosov and geodesic flows. 92d:58162 

Keller, Gerhard see Hofbauer, Franz, 92m:58077 

Kitchens, Bruce see Ashley, Jonathan; et al., 92k:58198 

Knieper, Gerhard see Katok, Anatole; et al., 92d:58162 

Kodama, Hiroya see Honda, Katsuya; et al., 92b:82093 

(Krzyzewski, Karol) see Dynamical systems and ergodic theory, 92b:58060 

Kusnezov, Dimitri (with Bulgac, Aurel; Bauer, Wolfgang) Canonical ensembles from chaos. 
92a:82079 

Latushkin, Yu. D. (with Stépin, A.M.) Weighted shift operators, the spectral theory of 
linear extensions and a multiplicative ergodic theorem. (Russian) 924:47046 

Ledrappier, F. Harmonic measures and Bowen-Margulis measures. 92a:58107 

Lentini, Fabrizio see Giona, Massimiliano; et al., 92f:58109 

Levin, Genadii Mironovich Bases of functions, generated by polynomial iterations. 
(Russian) 92a:30028 

Li, Tien-Yien see Ding, Jiu, 92i:47008 

Ling, Fu Hua (with Liu, Zeng Rong) Limiting probability density of the quasi-periodic 
orbit. 92k:58233 

Liu, Zeng Rong see Ling, Fu Hua, 92k:58233 

Lyubich, M. Yu. see Blokh, A. M., 92c:58068 

Mandelbrot, Benoit B. Two meanings of multifractality, and the notion of negative fractal 
dimension. 92f:28008 

— (with Evertsz, Carl J.G.) Multifractality of the harmonic measure on fractal aggregates, 
and extended self-similarity. 92m:58124 

Maiié, Ricardo The Hausdorff dimension of horseshoes of diffeomorphisms of surfaces. 
92k:58200 

— (with da Rocha, L. F.) Julia sets are uniformly perfect. 92k:58229 

Marcus, Brian H. (with Tuncel, Selim) The weight-per-symbol polytope and scaffolds of 
invariants associated with Markov chains. 92g:28038 

Margulis, G. A. Compactness of minimal closed invariant sets of actions of unipotent 
groups. 92:22018 

Markechova, Dagmar The entropy and generators of F-dynamical systems. 92g:28039 

Masur, Howard (with Smillie, John) Hausdorff dimension of sets of nonergodic measured 
foliations. 92j:58081 

Mather, John N. Action minimizing invariant measures for positive definite Lagrangian 
systems. 92m:58048 

Matsuzaki, Katsuhiko see Velling, John A., 92k:57070 

Mayer-Kress, Gottfried see Theiler, James; et al., 92d:58124 

Mendes, Pedro A metric property of Cherry vector fields on the torus. 924:58161 

Moussa, P. see Collet, Pierre; et al., 92k:58227 





1003 1992 


Nakamura, Munetaka Invariant measures and entropies of random dynamical systems and 
the variational principle for random Bernoulli shifts. 92g:28030 

Newell, Alan C. see Broomhead, D. S.; et al., 92b:58136 

Osbaldestin, A. H. Siegel disc singularity spectra. 92k:58234 

Parry, William (with Pollicott, Mark) Zeta functions and the periodic orbit structure of 
hyperbolic dynamics. (French summary) 92f:58141 

Partovi, M. Hossein Entropic formulation of chaos for quantum dynamics. 92a:81041 

Petersen, Karl * Ergodic theory. 92c:28010 

Pollicott, Mark Distributions at infinity for Riemann surfaces. 92¢:58162 

— see also Parry, William, 92f:58141 

Przytycki, Feliks see Grzegorczyk, P.; et al., 92d:30017 

Rand, D. A. see Broomhead, D. S.; et al., 92b:58136 

Rechester, Alexander B. (with White, Roscoe Beryl) Symbolic kinetic analysis of two- 
dimensional maps. 92£:58055 

da Rocha, L. F. see Maiié, Ricardo, 92k:58229 

Rogers, T. D. (with Shirvani, M.) An ergodic family of maps on sequence spaces. 
924:58059 


Sato, Shinichi! see Honda, Katsuya; et al., 92b:82093 

Schweiger, Fritz Invariant measures and ergodic properties of number theoretical endomor- 
phisms. 924:11083 

— Invariant measures for maps of continued fraction type. 92k:11081 

Shirvani, M. see Rogers, T. D., 92d:58059 

Sinai, Ya.G. Hyperbolic billiards. 92m:58105 

— see also Gal'perin, G. A., 92£:58108 

Smillie, John see Bedford, Eric, 92a:32035 and Masur, Howard, 92j:58081 

Stafford, Matthew see Ashley, Jonathan; et al., 92k:58198 

Starkov, A. N. Horospherical flows on homogeneous finite-volume spaces. (Russian) 
92f:58131 

Stépin, A. M. see Latushkin, Yu. D., 92d:47046 and Chumak, M. L., 92k:58206 

Strelcyn, Jean-Marie The “coexistence problem” for conservative dynamical systems: a 
review. 92k:58088 

Swift, J. B. see Cosenza, M. G., 92b:58141 

Szépfalusy, Péter Properties of generalized entropies in one-dimensional maps. 92c:58086 

Szlenk, W. see Grzegorczyk, P.; et al., 92d:30017 

Takahashi, Yoichird see Hirata, Masaki, 92e:58161 

Theiler, James (with Mayer-Kress, Gottfried; Kadtke, James B.) Chaotic attractors of a 
locally conservative hyperbolic map with overlap. 924:58124 

— Some comments on the correlation dimension of // f* noise. 92d:58143 

Tuncel, Selim see Marcus, Brian H., 92g:28038 and Boyle, Mike, 92i:28021 

Turchetti, Giorgio Linear Cantorian approximations. 92e:58129 

— see also Abenda, S., 92b:58135 

Urbariski, Mariusz see Denker, Manfred, 92a:58112 

Velling, John A. (with Matsuzaki, Katsuhiko) The action at infinity of conservative groups 
of hyperbolic motions need not have atoms. 92k:57070 

Voss, Richard F. Random fractals: characterization and measurement. (see 92b:82005) 

Weiss, Howard N. see Katok, Anatole; et al., 92d:58162 

White, Roscoe Beryl see Rechester, Alexander B., 92f:58055 

(Zweifel, Paul F.) see Nonlinear evolution and chaotic phenomena, 92f:58003 


Items listed otherwise than by author 


Dynamical systems and ergodic theory * Dynamical systems and ergodic theory. 92b:58060 
Fractal geometry and analysis * Fractal geometry and analysis. 92f:58002 
Montreal, PQ * Fractal geometry and analysis. 92f:58002 
NATO Advanced Study Institute: 
Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 
Nonlinear Evolution and Chaotic Phenomena * Nonlinear evolution and chaotic 
phenomena. 92f:58003 
Nonlinear evolution and chaotic phenomena * Nonlinear evolution and chaotic phenomena. 
92£:58003 
Noto * Nonlinear evolution and chaotic phenomena. 92f:58003 
Seminar: 
Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 
Warsaw * Dynamical systems and ergodic theory. 92b:58060 


58F12 Structure of attractors (and repellors) 


Abenda, S. (with Turchetti, Giorgio) Duality in parameter space and approximation of 
measures for mixing repellers. 92b:58135 

Adomaitis, Raymond A. (with Kevrekidis, loannisG.) Noninvertibility and the structure of 
basins of attraction in a model adaptive control system. 92d:58114 

Afraimovich, V.S. On attractors. (Russian) 92h:58120 

— (with Shereshevskii, M. A.) The Hausdorff dimension of attractors appearing by saddle- 
node bifurcations. 92h:58121 

Alligood, Kathleen T. (with Tedeschini-Lalli, Laura; Yorke, James A.) Metamorphoses: 
sudden jumps in basin boundaries. 92k:58162 

Androulakakis, Stavros P. (with Hartley, Tom T.; Greenspan, Bernard; Qammar, Helen) 
Practical considerations on the calculation of the uncertainty exponent and the fractal 
dimension of basin boundaries. 92i:58106 

Aranson, S. Kh. (with Zhuzhoma, E. V.) Classification of attractors of codimension one 
without mixing. (Russian) 92c:58067 

Arrowsmith, D. K. (with Place, C. M.) Examples of attracting sets of Birkhoff type. 
924:58115 

Artigue, M. (with Gautheron, V.; Isambert, E.) Une notion non standard d’attracteurs: les 
fleuves. [A nonstandard notion of attractors: rivers] 92e:58126 

Athanassopoulos, Konstantin A characterization of Denjoy flows. 92k:58163 

Babin, A. V. (with Vishik, M. I.) *& ATTrpakTopbi 380mI00HOHHBIX ypaBHeHuh. (Russian) 
[Attractors of evolution equations] 92f:58101 

— (with Vishik, M. I.) Semigroups dependent on a parameter, their attractors and 
asymptotic behaviour [in Global analysis and nonlinear equations (Russian), 3-21, 
Voronezh. Gos. Univ., Voronezh, 1988; MR 90k:58116]. (see 92b:58001) 


58F Ordinary differential equations on manifolds; dynamical systems 


58F12 


Babloyantz, A. see Gallez, D., 92h:58122 

Baldo, Stéphane * Introduction a la topologie des ensembles fractals. (French) [Introduc- 
tion to the topology of fractal sets] 92i:58107 

Beckmann, Peter E. see Schichtel, Thomas, 92g:58079 

Benedicks, Michael (with Carleson, Lennart) The dynamics of the Hénon map. 924:58116 

Berger, Marc Aron Wavelets as attractors of random dynamical systems. 92e:58127 

Blokh, A. M. (with Lyubich, M. Yu.) Attractors of maps of the interval. 92c:58068 

— (with Lyubich, M. Yu.) Measure of solenoidal attractors of unimodal transformations of 
an interval. (Russian) 92d4:58117 

Broomhead, D.S. (with Indik, R.; Newell, Alan C.; Rand, D. A.) Local adaptive Galerkin 
bases for large-dimensional dynamical systems. 92b:58136 

Carleson, Lennart see Benedicks, Michael, 92d:58116 

Carroll, Thomas L. see Pecora, Louis M., 92d:58122 

Cathala, J.-C. Case where the influence domain of a stable attractor of an R?- 
endomorphism is a multi-connected domain. 92a:58085 

Coevoet, Marc Nested iteration for fractal images using the associated Markov process. (see 
92m:65053) 

Cutler, C. D. Some results on the behavior and estimation of the fractal dimensions of 
distributions on attractors. 92b:58137 

— Erratum and addendum: “Some results on the behavior and estimation of the fractal 
dimensions of distributions on attractors” [J. Statist. Phys. 62 (1991), no. 3-4, 651-708; 
MR 92b:58137]. 

De Abreu-Garcia, J. A. see Mossayebi, F.; et al., 92i:58109 

Demongeot, Jacques (with Jacob, Christine) Confineurs: une approche stochastique des 
attracteurs. (English summary) [Confiners: a stochastic approach to attractors] 92c¢:58069 

— (with Jacob, Christine) Confiners, stochastic equivalents of attractors. 92a:58086 

Dendrinos, Dimitrios S. Evolution of a ring-attractor in socio-spatial dynamics. 92k:58164 

Dvorak, Ivan see Palu’, Milan, 92m:58078 

Eden, A. (with Foias, Ciprian; Temam, Roger) Local and global Lyapunov exponents. 
924d:58118 

Edgar, Gerald A. A fractal puzzle. 92j:58062 

Epstein, Henri Fixed points of composition operators. (see 92f:58003) 

Feigenbaum, Mitchell J. Complicated objects on regular trees. (see 92f:58003) 

Foias, Ciprian see Eden, A.; et al., 92d:58118 

Franke, John E. (with Yakubu, Abdul-Aziz) Global attractors in competitive systems. 
92a:58087 

Gallez, D. (with Babloyantz, A.) Lyapunov exponents for nonuniform attractors. 
92h:58122 

Gasull, Armengol (with Sotomayor, Jorge) On the basin of attraction of dissipative planar 
vector fields. 92a:58088 

Gautheron, V. see Artigue, M.; et al., 92e:58126 

Gedeon, TomaS (with Kuchta, Milan) Shadowing property of continuous maps. 92h:58123 

Giovannini, Franco (with Politi, Antonio) Homoclinic tangencies, generating partitions and 
curvature of invariant manifolds. 92d:58119 

Graham, Robert (with Hamm, A.; Tél, T.) Nonequilibrium potentials for dynamical 
systems with fractal attractors or repellers. 92d:58120 

Greenspan, Bernard see Androulakakis, Stavros P.; et al., 92i:58106 

Guttalu, Ramesh S. see Skowronski, J. M., 92d:58123 

Hale, Jack K. (with Raugel, Geneviéve) Lower semicontinuity of the attractor for a 
singularly perturbed hyperbolic equation. 92g:58076 

— (with Raugel, Geneviéve) A damped hyperbolic equation on thin domains. 92g:58077 

Hamm, A. see Graham, Robert; et al., 92d:58120 

Hartley, Tom T. see Androulakakis, Stavros P.; et al., 92i:58106 and Mossayebi, F ; et al., 
92i:58109 

Hofbauer, Franz (with Keller, Gerhard) Some remarks on recent results about S-unimodal 
maps. 92m:58077 

Hurley, Mike Ergodic aspects of cellular automata. 924:58121 

— Noncompact chain recurrence and attraction. 92j:58063 

Ilyashenko, Yu. S. The concept of minimal attractor and maximal attractors of partial 
differential equations of the Kuramoto-Sivashinsky type. 92k:58165 

Indik, R. see Broomhead, D. S.; et al., 92b:58136 

Isambert, E. see Artigue, M.; et al., 92e:58126 

Jackson, E. Atlee On the control of complex dynamic systems. 92h:58124 

Jacob, Christine see Demongeot, Jacques, 92a:58086 and 92c:58069 

Kadtke, James B. see Theiler, James; et al., 92d:58124 

Kahlert, Claus Heteroclinic orbits and scaled similar structures in the parameter space of 
the Chua oscillator. (see 92m:58093) 

Kaplan, Harvey Consequences of the constant Jacobian determinant of the Hénon map. 
92k:58166 

Keller, Gerhard see Hofbauer, Franz, 92m:58077 

Kevrekidis, Ioannis G. see Adomaitis, Raymond A., 92d:58114 

Kirchheim, Bernd A chaotic function with zero topological entropy having a nonperfect 
attractor. 92a:58089 

Kuchta, Milan see Gedeon, Toma, 92h:58123 

Leonov, G. A. An estimate for the Hausdorff dimension of the attractors of dynamical 
systems. (Russian) 92f:58102 

Lozi, René (with Ushiki, Shigehiro) Confinors and bounded-time patterns in Chua’s circuit 
and the double scroll family. 92a:58090 

La, Shu Chen (with Xia, De Yong) The fractal basin boundary of two-dimensional cubic 
mappings. (Chinese. English summary) 92g:58078 

Lyubich, M. Yu. see Blokh, A. M., 92c:58068 and 924:58117 

Mayer-Kress, Gottfried see Theiler, James; et al., 92d:58124 

McCord, Christopher Mappings and Morse decompositions in the Conley index theory. 
92j:58064 

McRobie, F. A. (with Thompson, J. M. T.) Lobe dynamics and the escape from a potential 
well. 92j:58065 

Mendoza, Leonardo Continuity properties of invariant sets of one-dimensional maps. 
(Spanish summary) 92i:58108 

Miyazaki, Syuji see Yoshida, Takeshi, 92d:58125 





58F12 


Mossayebi, F. (with Hartley, Tom T.; De Abreu-Garcia, J. A.) A fundamental theorem for 
the model reduction of nonlinear systems. 92i:58109 
Newell, Alan C. see Broomhead, D. S.; et al., 92b:58136 


Palus, Milan (with Dvorak, Ivan) Singular-value decomposition in attractor reconstruction: 


pitfalls and precautions. 92m:58078 

Parisi, Jirgen see Stoop, Ruedi; et al., (92m:58093) 

Pecora, Louis M. (with Carroll, Thomas L.) Pseudoperiodic driving: eliminating multiple 
domains of attraction using chaos. 92d:58122 

Peinke, Joachim see Stoop, Ruedi; et al., (92m:58093) 

Place, C. M. see Arrowsmith, D. K., 92d:58115 

Pogonysheva, V.N. Stability of an attracting set with respect to the metric R;. (Russian. 
English summary) 92e:58128 

Politi, Antonio see Giovannini, Franco, 92d:58119 

Qammar, Helen see Androulakakis, Stavros P.; et al., 92i:58106 

Rachinskii, D. I. Singular points of point mappings. (Russian) 92k:58167 

Rand, D. A. see Broomhead, D. S.; et al., 92b:58136 

Rangel, Genevieve see Hale, Jack K., 92g:58076 and 92g:58077 

Rychlik, Marek Ryszard Lorenz attractors through Sil‘nikov-type bifurcation. I. 92£:58103 

Schichtel, Thomas (with Beckmann, Peter E.) The use of first return maps in the computa- 
tion of basin boundaries in three-dimensional phase space. 92g:58079 

Sharkovskii, A. N. How complicated can be one-dimensional dynamical systems: descrip- 
tive estimates of sets. 92¢:58070 

Shereshevskii, M. A. see Afraimovich, V. S., 92h:58121 

Skowronski, J. M. (with Guttalu, Ramesh S.) Real-time attractors. 92d:58123 

Soliman, Mohamed S. (with Thompson, J. M. T.) Basin organization prior to a tangled 
saddle-node bifurcation. 92f:58104 

Sotomayor, Jorge see Gasull, Armengol, 92a:58088 

Stella, Sergio On Hausdorff dimension of recurrent net fractals. 92m:58079 

Stoop, Ruedi (with Parisi, Jiirgen; Peinke, Joachim) Lyapunov exponent calculations in 
high-dimensional embedding spaces. A singular value approach. (see 92m:58093) 

Sullivan, Dennis P. Differentiable structures on fractal like sets, determined by intrinsic 
scaling functions on dual Cantor sets. (see 92f:58003) 

Tedeschini-Lalli, Laura see Alligood, Kathleen T.; et al., 92k:58162 

Tél, T. see Graham, Robert; et al., 92d:58120 

Temam, Roger see Eden, A.; et al., 92d:58118 

Theiler, James (with Mayer-Kress, Gottfried; Kadtke, James B.) Chaotic attractors of a 
locally conservative hyperbolic map with overlap. 924:58124 

Thompson, J. M.T. see Soliman, Mohamed S., 92f:58104 and McRobie, F. A., 92j:58065 

Turchetti, Giorgio Linear Cantorian approximations. 92e:58129 

— see also Abenda, S., 92b:58135 

Ushiki, Shigehiro see Lozi, René, 92a:58090 

Vaienti,S. Dimensions of the attractors from thermodynamic indices. 92e:58130 

Veerman, J. J.P. Strange attractors in dissipative maps with one angular variable. 
92b:58138 

Vishik, M.1. see Babin, A. V., 92f:58101 and (92b:58001) 

Wang, Xiao-Jing The Newhouse set has a positive Hausdorff dimension. 92a:58091 

Whiston, G.S. Singularities in vibro-impact dynamics. 92m:58080 

Xia, De Yong see Li, Shu Chen; et al., 92g:58078 

Yakubu, Abdul-Aziz see Franke, John E., 92a:58087 

Yorke, James A. see Alligood, Kathleen T.; et al., 92k:58162 

Yoshida, Takeshi (with Miyazaki, Syuji) Global bifurcations and fluctuation spectra of 
local expansion rates in nonlinear dynamical systems. 92d:58125 

Zhuzhoma, E. V. see Aranson, S. Kh., 92c:58067 


Items with secondary classifications in 58F12 

Aleksi¢é, Zoran Estimating the embedding dimension. 92k:58168 

Anosov, D. V. (with Aranson, S. Kh.; Grines, V. Z.; et al.) Dynamical systems with 
hyperbolic behavior. (Russian) 92k:58197 

Aranson, S. Kh. see Anosov, D. V.; et al., 92k:58197 

Argoul, F. see Arneodo, Alain; et al., 92g:82080 

Amneodo, Alain (with Argoul, F.; Elezgaray, J.; Grasseau, G.) Wavelet transform analysis of 
fractals: application to nonequilibrium phase transitions. 92g:82080 

Ashwin, Peter Symmetric chaos in systems of three and four forced oscillators. 924:58145 

Bandt, Christoph Self-similar sets. V. Integer matrices and fractal tilings of R”. 92d:58093 

Barnsley, Michael F. (with Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz- 
Otto; Saupe, Dietmar; Voss, Richard F.) * The science of fractal images. 92a:68145 

Beck, Christian Higher correlation functions of chaotic dynamical systems—a graph 
theoretical approach. 92i:58115 

Bedford, Tim (with Urbatiski, Mariusz) The box and Hausdorff dimension of self-affine 
sets. 92b:58125 

Blais, Francois Fleuves critiques. (English summary) [Critical rivers] 92k:58220 

Borodich, S. M. The behavior, as t — +00, of solutions of some nonautonomous equations. 
(Russian) 92f:58160 

Boudourides, Moses A. (with Nikoudes, Apostolos C.) The attractor of thermosolutal 
convection. 92a:35130 

Cao, Ke Fei (with Peng, Shou Li) Universal scaling of generalized dimensions on critical 
strange sets. 92k:58073 

Capel, H. W. see Post, T.; et al., 92b:58162 

Cheban, D. N. The structure of the Levinson center of a dissipative dynamical system 
with a condition for hyperbolicity on the closure of a set of recurrent motions. (Russian) 
924:58159 

Collet, Pierre (with Dobbertin, R.; Moussa, P.) Multifractal analysis of nearly circular Julia 
set and thermodynamical formalism. (French summary) 92k:58227 

Cosenza, M.G. (with Swift, J. B.) Influence of asymmetry on multifractal properties of 
maps. 92b:58141 

Cotsiolis, Athanase see Karazeeva, N. A.; et al., 92k:58251 

Debussche, Arnaud (with Temam, Roger) Inertial manifolds and slow manifolds. 
92:58161 

Demékhin, E. A. (with Tokarev, G. Yu.; Shkadov, V. Ya.) Hierarchy of bifurcations of 
space-periodic structures in a nonlinear model of active dissipative media. 92k:58249 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 1992 1004 


Demengel, Francoise (with Ghidaglia, Jean-Michel) Some remarks on the smoothness of 
inertial manifolds. 92f:58162 

Denker, Manfred (with Urbanski, Mariusz) On Sullivan’s conformal measures for rational 
maps of the Riemann sphere. 92f:58097 

Dettori, L. Spectral approximations of attractors of a class of semilinear parabolic 
equations. 92k:58250 

Devaney, Robert L. see Barnsley, Michael F.; et al., 92a:68145 

Ding, Ming Zhou (with Grebogi, Celso; Ott, Edward; Yorke, James A.) Massive bifurcation 
of chaotic scattering. 92b:58142 

Dobbertin, R. see Collet, Pierre; et al., 92k:58227 

Doelman, Arjen Finite-dimensional models of the Ginzburg-Landau equation. 92b:35139 

Elezgaray, J. see Arneodo, Alain; et al., 92g:82080 

El Naschie, M.S. Peano dynamics as a model for ergodic and strange nonchaotic 
behaviour. 92k:58173 

(Fisher, Yuval) see Barnsley, Michael F.; et al., 92a:68145 

Foale, S. (with Thompson, J. M. T.) Geometrical concepts and computational techniques 
of nonlinear dynamics. 92g:34044 

Ghidaglia, Jean-Michel (with Temam, Roger) Lower bound on the dimension of the 
attractor for the Navier-Stokes equations in space dimension 3. 92g:35016 

— see also Demengel, Francoise, 92f:58162 

Gilmore, Robert see Mindlin, G. B.; et al., 92i:58125 

Giona, Massimiliano Dynamics and relaxation properties of complex systems with memory. 
92h:58108 

Giuliani, D. see Otero, Dino; et al., 92i:58127 

Grassberger, Peter see Schreiber, Thomas, 92i:58174 

Grasseau, G. see Arneodo, Alain; et al., 92g:82080 

Grebogi, Celso see Ding, Ming Zhou; et al., 92b:58142 

Grines, V. Z. see Anosov, D. V.; et al., 92k:58197 

Gunaratne, Gemunu H. Universality beyond the onset of chaos. 92f:58110 

Gutiérrez, Jorge A. Accessible boundary saddles and generation of manifolds for the Duffing 
attractor. (see 92e:00013) 

Hale, Jack K. (with Raugel, Genevieve) Partial differential equations on thin domains. 
92i:35012 

Hall, E., II (with Kessler, S.; Hanagud, S.) Use of fractal dimension in the characterization 
of chaotic structural dynamic systems. 92g:58084 

Hanagud, S. see Hall, E., I; et al., 92g:58084 

Hayakawa, Eijirou On some branched surfaces which admit expanding immersions. II. 
92h:57005 

Hetzer, Georg (with Schmidt, Paul Ginter) A global attractor and stationary solutions for a 
reaction-diffusion system arising from climate modeling. 92a:35088 

Hou, X.-J. see Mindlin, G. B.; et al., 92i:58125 

Hu, Gang Distribution and stability of Mel/nikov orbits. (Chinese. English summary) 
92m:34104 

Hutson, V. (with Pym, J. S.) Repellers for generalized semidynamical systems. (see 
92b:00038) 

Jackson, E. Atlee Controls of dynamic flows with attractors. 92j:58088 

Jimbo, Shuichi see Morita, Yoshihisa, 92m:35134 

Jiménez Olivo, Pedro see Peiia Miralles, Juan; et al., (92b:00044) 

Kapitaniak, Tomasz On strange nonchaotic attractors and their dimensions. 92d:58136 

Karazeeva, N. A. (with Cotsiolis, Athanase; Oskolkov, A. P.) Dynamical systems generated 
by initial-boundary value problems for equations of motion of linear viscoelastic fluids. 
(Russian) 92k:58251 

Keller, Gerhard Exponents, attractors and Hopf decompositions for interval maps. 
92e:58118 

Kennedy, Judy (with Yorke, James A.) Basins of Wada. 92k:58177 

Kessler, S. see Hall, E., Il; et al., 92g:58084 

Leal, L. Gary see Szeri, Andrew J.; et al., 92m:76060 

Liao, Gong Fu w-limit sets and chaos for maps of the interval. 92a:58097 

Lizana Pefia, Marcos Attractors for systems of functional-differential equations. 92k:58240 

Lyubimov, D. V. (with Pikovskii, A. S.; Zaks, M. A.) * Universal scenarios of transitions to 
chaos via homoclinic bifurcations. 92j:58074 

Mandelbrot, Benoit B. Random multifractals: negative dimensions and the resulting 
limitations of the thermodynamic formalism. 92g:58086 

— see also Barnsley, Michael F.; et al., 92a:68145 

(McGuire, Michael) see Barnsley, Michael F.; et al., 92a:68145 

Mendoza, Leonardo Continuity of invariant measures for families of 1-dimensional maps. 
92a:58084 

Milliken, W. J. see Szeri, Andrew J.; et al., 92m:76060 

Mindlin, G. B. (with Solari, H. G.; Natiello, M. A.; Gilmore, Robert; Hou, X.-J.) Topo- 
logical analysis of chaotic time series data from the Belousov-Zhabotinskii reaction. 
92i:58125 

Morita, Yoshihisa (with Jimbo, Shuichi) Ordinary differential equations (ODEs) on inertial 
manifolds for reaction-diffusion systems in a singularly perturbed domain with several 
thin channels. 92m:35134 

Moussa, P. see Collet, Pierre; et al., 92k:58227 

Muiioz-Cobo Gonzalez, José Luis see Pena Miralles, Juan; et al., (92b:00044) 

Natiello, M. A. see Mindlin, G. B.; et al., 92i:58125 

Nikoudes, Apostolos C. see Boudourides, Moses A., 92a:35130 

Ombach, Jerzy Sinks, sources and saddles for expansive flows with the pseudo-orbits tracing 
property. 92c:58103 

Oskolkov, A. P. see Karazeeva, N. A.; et al., 92k:58251 

Otero, Dino (with Giuliani, D.; Sassano, M.) Temporal dimension and transition out of 
chaos. 92i:58127 

Ott, Edward see Ding, Ming Zhou; et al., 92b:58142 

Pego, Robert L. Stabilization in a gradient system with a conservation law. 92g:34059 

Peitgen, Heinz-Otto see Barnsley, Michael F.; et al., 922:68145 

Peiia Miralles, Juan (with Sanchis Arnal, Ricardo; Jiménez Olivo, Pedro; Verdi Martin, 
Gumersindo; Mufioz-Cobo Gonzalez, José Luis) Domains of attraction of a nonlinear 
oscillator. (Spanish. English summary) (see 92b:00044) 

Peng, Shou Li see Cao, Ke Fei, 92k:58073 





1005 1992 


Pikovskii, A.S. see Lyubimov, D. V.; et al., 92j:58074 

Pliss, V. A. (with Sell, George R.) Perturbations of attractors of differential equations. 
92£:58094 

Post, T. (with Capel, H. W.; Quispel, G. R. W.; van der Weele, J. P.) Bifurcations in two- 
dimensional reversible maps. 92b:58162 

Promislow, Keith (with Temam, Roger) Approximate interaction laws for small and large 
waves in the Ginzburg-Landau equation. 92¢:35157 

— (with Temam, Roger) Localization and approximation of attractors for the Ginzburg- 
Landau equation. 92m:58121 

Pym, J.S. see Hutson, V., (92b:00038) 

Quispel, G. R. W. see Post, T.; et al., 92b:58162 

Raugel, Genevieve see Hale, Jack K., 92i:35012 

Réssler, Otto E. Four open problems in four dimensions. (see 92m:58093) 

Sanchis Arnal, Ricardo see Peiia Miralles, Juan; et al., (92b:00044) 

Sassano, M. see Otero, Dino; et al., 92i:58127 

Satoh, Kazuhiro Numerical study on a coupled logistic map as a simple model for three 
competing species. 92d:92031 

Saupe, Dietmar see Barnsley, Michael F.; et al., 92:68145 

Schmidt, Paul Ginter see Hetzer, Georg, 92a:35088 

Schreiber, Thomas (with Grassberger, Peter) A simple noise-reduction method for real 
data. 92i:58174 

Sell, George R. see Pliss, V. A., 92£:58094 

Serégin, G. A. On a dynamical system generated by two-dimensional equations of motion of 
Bingham fluid. (Russian. English summary) 92g:35186 

Shereshevskii, M. A. A complement to Young’s theorem on measure dimension: the 
difference between lower and upper pointwise dimensions. 92d:58108 

Shil/nikov, A. L. Bifurcations and chaos in the Marioka-Shimizu model. II. (Russian) 
92e:58139 

Shkadov, V. Ya. see Demékhin, E. A.; et al., 92k:58249 

Smale, Stephen Dynamics retrospective: great problems, attempts that failed. 92k:58202 

So, Joseph Wai-Hung (with Wu, Jian Hong) Topological dimensions of global attractors for 
semilinear PDEs with delays. 92g:58116 

Solari, H. G. see Mindlin, G. B.; et al., 92i:58125 

Swift, J. B. see Cosenza, M. G., 92b:58141 

Szeri, Andrew J. (with Milliken, W. J.; Leal, L. Gary) Rigid particles suspended in time- 
dependent flows: irregular versus regular motion, disorder versus order. 92m:76060 

Tangerman, F.M. see Veerman, J. J. P., 92h:58106 

Temam, Roger see Promislow, Keith, 92e:35157; Debussche, Arnaud, 92f:58161; Ghidaglia, 
Jean-Michel, 92g:35016 and Promislow, Keith, 92m:58121 

Thompson, J. M.T. see Foale, S., 92g:34044 

Tokarev, G. Yu. see Demékhin, E. A.; et al., 92k:58249 

Urbatiski, Mariusz see Bedford, Tim, 92b:58125 and Denker, Manfred, 92f:58097 

Veerman, J. J.P. (with Tangerman, F. M.) Scalings in circle maps. I. 92h:58106 

Verdi Martin, Gumersindo see Peiia Miralles, Juan; et al., (92b:00044) 

Voss, Richard F. see Barnsley, Michael F.; et al., 92a:68145 

Vuillermot, Pierre-A. A geometric theory for semilinear almost-periodic parabolic partial 
differential equations on R”. (see 92m:35004) 

van der Weele, J. P. see Post, T.; et al., 92b:58162 

Wu, Jian Hong see So, Joseph Wai-Hung, 92g:58116 

Yorke, James A. see Ding, Ming Zhou; et al., 92b:58142 and Kennedy, Judy, 92k:58177 

Zaks, M. A. see Lyubimov, D. V.; et al., 92j:58074 


58F13 Strange attractors; chaos and other pathologies 
[see also 70K50] 


Abarbanel, Henry D. I. (with Brown, Reggie; Kennel, M. B.) Variation of Lyapunov 
exponents on a strange attractor. 92d:58126 

Afanas‘ev, V. V. (with Sagdeev, R. Z.; Zaslavskii, G. M.) Chaotic jets with multifractal 
space-time random walk. 92i:58110 

Afraimovich, V.S. (with Reiman, A. M.) Dimension and entropy in multidimensional 
systems. (Russian) 92g:58080 

— see also Aranson, I. S.; et al., 92i:58112 

Albano, A. M. (with Passamante, A.; Farrell, Mary Eileen) Using higher-order correlations 
to define an embedding window. 92i:58111 

Aleksi¢, Zoran Estimating the embedding dimension. 92k:58168 

Amadasi, Luciano (with Casartelli, Mario) Basins of periodic orbits for elliptic maps of the 
torus. 92k:58169 

Antoranz, J.C. Power spectral analysis of an intermittent incommensurate chaotic state. 
92¢:58071 

Aranson, I.S. (with Afraimovich, V. S.; Rabinovich, M. I.) * Multidimensional strange 
attractors and turbulence. 92i:58112 

Arecchi, F.T. Shil‘nikov chaos in low-dimensional dynamical systems. (see 92b:80016) 

Argoul, F. (with Armneodo, Alain; Richetti, P.) Symbolic dynamics in the Belousov- 
Zhabotinskii reaction: from Réssler’s intuition to experimental evidence for Shil‘nikov’s 
homoclinic chaos. (see 92m:58093) 

Arneodo, Alain see Argoul, F.; et al., (92m:58093) 

Arrowsmith, D. K. The mathematics of chaos. (see 92h:00013) 

Ashwin, Peter Sy ic chaos in sy of three and four forced oscillators. 92d:58145 

Aurell, Erik Finding eigenvalues of the period-doubling operator from the characteristic 
equation. 92j:58066 

Awrejcewicz, J. Routes to chaos in complex physical systems. (Russian and Polish 
summaries) 92i:58113 

— Numerical versus analytical conditions for chaos, using the example of the Duffing 
oscillator. 92d:58127 

Azam, M. (with Jain, Sudhir R.; Lawande, Suresh V.) Conditionally convergent series and 
chaos in deterministic maps. 92g:58081 

Badii, R. (with Finardi, M.; Broggi, G.) Recursive symbolic encoding and hierarchical 
description of complex systems. (see 92f:00011) 

— see also Politi, Antonio, 924:58141 





58F Ordinary differential equations on manifolds; dynamical systems 


58F13 


Baier, Gerold (with Klein, Michael) Maximum hyperchaos in generalized Hénon maps. 
92¢:58072 

— see also Klein, Michael, (92m:58093) and Chaotic hierarchy, 92m:58093 

Bajaj, A. K. Examples of boundary crisis phenomenon in structural dynamics. 92m:58081 

Barr, Edith S. see Koebbe, Matthew; et al., (92m:58093) 

Bassett, M. R. (with Hudson, John L.) Homoclinic chaos, quasiperiodicity, noodle maps, 
and other phenomena in an electrochemical reaction. (see 92b:80016) 

Batunin, A. V. Generalities of intermittency generating functions. 92g:58082 

Bau, Haim H. On controlling a chaotic system. 92i:58114 

Bauer, Michael A. (with Habip, S.; He, Da Ren; Martienssen, Werner) New type of 
intermittency in discontinuous maps. 92k:58170 

Beck, Christian Higher correlation functions of chaotic dynamical systems—a graph 
theoretical approach. 92i:58115 

Bessoir, Tom see Wolf, Alan, 92c:58089 

Bezruchko, B. P. (with Gulyaev, Yu. V; Pudovochkin, O. B.; Seleznev, E. P.) Multistability 
in oscillation systems with period doubling and unidirectional coupling. (Russian) 
92j:58067 

Blank, M. L. Chaos and order in the multidimensional Frenkel-Kontorova model. (Russian. 
English summary) 924:58128 

— Phase space discretization in chaotic dynamical systems. 92h:58125 

— Shadowing of e-trajectories of general multidimensional mappings. 92m:58082 

Blimel, R. (with Dietz, Barbara; Jung, Christof; Smilansky, U.) On the transition to chaotic 
scattering. 92m:58083 

Boe, Eugene (with Chang, Hsueh-Chia) Transition to chaos from a two-torus in a delayed 
feedback system. 924:58129 

Braiman, Y. (with Goldhirsch, I.) Taming chaotic dynamics with weak periodic perburba- 
tions. 92b:58139 

Brindley, J. (with Kapitaniak, Tomasz) Analytic predictors for strange nonchaotic 
attractors. 92d:58130 

Broggi, G. see Badii, R.; et al., (92f:00011) 

Brown, Ray (with Chua, Leon O.) Horseshoes in the twist-and-flip map. 92j:58068 

Brown, Reggie see Abarbanel, Henry D. L.; et al., 92d:58126 

Buric, Nikola (with Cartwright, Julyan H. E.; Percival, Ilan C.; Piro, Oreste) On modular 
smoothing and scaling functions for mode locking. 92k:58171 

Bykov, V. V. (with Shil'‘nikov, A. L.) Boundaries of the d in of existence of a Lorenz 
attractor. (Russian) 92a:58092 

Capel, H. W. see Post, T.; et al., 92g:58089 

Carroll, Thomas L. see Pecora, Louis M., 92c:58082 

Cartwright, Julyan H. E. see Buric, Nikola; et al., 92k:58171 

Casartelli, Mario see Amadasi, Luciano, 92k:58169 

Casasiis Latorre, Luis (with Gerster Eiberle, Martin) Characteristic exponents of the 
logistic equation. (Spanish. English summary) (see 92b:00044) 

Casdagli, Martin (with Eubank, Stephen; Farmer, J. Doyne; Gibson, John) A theory of 
state space reconstruction in the presence of noise. (see 92f:00011) 

Cenys, A. (with Lasiené, G.; Piragas, K. A.) Estimation of interrelation between chaotic 
observables. 92f:58105 

Chang, Hsueh-Chia see Boe, Eugene, 92d:58129 

Chaté, H. (with Manneville, Paul) Emergence of effective low-dimensional dynamics in the 
macroscopic behaviour of coupled map lattices. 92k:58172 

Chechetkin, V. R. (with Ezhov, A. A.; Knizhnikova, L. A.; Kutvitskii, V. A.) Multiplicative 
group of invariance of phase space and natural time-scale for chaotic attractors. 
92m:58084 

Chen, Qi Keith (with Dana, I.; Meiss, J. D.; Murray, N. W.; Percival, lan C.) Resonances 
and transport in the sawtooth map. 92c¢:58073 

— (with Ott, Edward; Hurd, Lyman P.) Calculating topological entropies of chaotic 
dynamical systems. 92e:58131 

Chen, Shi Gang (with Wang, You Qin) Cubic irrational number and critical scaling law for 
quasiperiodic motion. 92d:58131 

— see also Wang, Guang Rui; et al., 92a:58103 

Cheng, Fu De see Shen, Jia Qi; et al., 92h:58135 

Chentsova, N. N. The discovery of Smale horseshoe for dynamical system generated by 
autogenerator with tunnel diode. 92f:58106 

Chernikov, Aleksandr Antonovich Chaos of streamlines. 92e:58132 

— see also Zaslavskii, G. M.; et al., 92m:58092 

Chernov, N.I. see Gal/perin, G. A., 92f:58108 

Chhabra, Ashvin B. (with Sreenivasan, K. R.) Probabilistic multifractals and negative 
dimensions. (see 92f:76006) 

Chirikov, B. V. Patterns in chaos. 92i:58116 

Chow, Shui-Nee (with Palmer, Kenneth J.) The accuracy of numerically computed orbits of 
dynamical systems in R‘. 92h:58126 

Christos, George A. (with Gherghetta, Tony) Trajectory scaling functions for the circle map 
and the quasiperiodic route to chaos. 92e:58133 

Chua, Leon O. see Brown, Ray, 92j:58068 

Cimagalli, Valerio see Giona, Massimiliano; et al., 92f:58109 

Clauss, W. see Peinke, Joachim; et al., (92m:58093) 

Coppel, W. A. Chaos in one dimension. 92b:58140 

Corless, R. M. (with Frank, G. W.; Monroe, J. Graham) Chaos and continued fractions. 
92¢:58074 

Cosenza, M. G. (with Swift, J.B.) Influence of asymmetry on multifractal properties of 
maps. 92b:58141 

Cvitanovi¢é, Predrag Renormalization description of transitions to chaos. (see 92i:58001) 

Dana, I. see Chen, Qi Keith; et al., 92c:58073 

Davidson, Arthur see Soerensen, M. P.; et al., 92g:58091 

De Filippo, Sergio (with Salerno, Mario) On a procedure to evaluate unstable periodic 
orbits. 92f:58107 

Defontaines, Anne-Dominique (with Pomeau, Yves; Rostand, Bruno) Chain of coupled 
bistable oscillators: a model. 92c:58075 

Degn, Hans Determinism in a world of noninvertible transformations. (see 92m:58093) 

Devaney, Robert L. Chaos, fractals and dynamics. 92a:58093 

Dietz, Barbara see Blimel, R.; et al., 92m:58083 











58F13 


Di Masi, Giovanni B. (with Gombani, Andrea) On observability of chaotic systems: an 
example. 92c:58076 

Ding, Ming Zhou (with Grebogi, Celso; Ott, Edward; Yorke, James A.) Massive bifurcation 
of chaotic scattering. 92b:58142 

Ellner, Stephen (with Gallant, A. Ronald; McCaffrey, Daniel; Nychka, Douglas) Conver- 
gence rates and data i for Jacobian-based estimates of Lyapunov exponents 
from data. 924:58132 

El Naschie, M.S. Mathematical model for chaos and ergodic criticality in four dimensions. 

— Peano dynamics as a model for ergodic and strange nonchaotic behaviour. 92k:58173 

— see also Kapitaniak, Tomasz, 92b:58147 

Escande, D. F. Structure of homoclinic tangles in Hamiltonian systems. 92c:58077 

Essex, Christopher (with Nerenberg, M. A. H.) Comments on: “The Claude Bernard 
Lecture, 1989. Deterministic chaos: the science and the fiction” [Proc. Roy. Soc. London 
Ser. A 427 (1990), no. 1873, 241-248; MR 90m:58140] by D. Ruelle. 92h:58127 

Eubank, Stephen (with Farmer, J. Doyne) An introduction to chaos and randomness. 
92c:58078 

— see also Casdagli, Martin; et al., (92f:00011) 

Evans, Michael Jon (with Humke, Paul D.; Lee, Cheng Ming; O’Malley, Richard J.) 
Corrigendum to: “Characterizations of turbulent one-dimensional mappings via w-limit 
sets” [Trans. Amer. Math. Soc. 326 (1991), no. 1, 261-280; MR 91j:58133]. 92m:58085 

Ezhov, A. A. see Chechetkin, V. R.; et al., 92m:58084 

Farmer, J. Doyne (with Sidorowich, John J.) Optimal shadowing and noise reduction. 
92b:58143 

— see also Eubank, Stephen, 92c:58078 and Casdagli, Martin; et al., (92f:00011) 

Farrell, Mary Eileen see Albano, A. M.; et al., 92i:58111 

Feingold, Mario (with Gonzalez, Diego L.; Magnasco, Marcelo O.; Piro, Oreste) On the 
universality class dependence of period doubling indices. 92d:58133 

Finardi, M. see Badii, R.; et al., (92f:00011) 

Fornass, John Erik (with Gavosto, Estela A.) Existence d’attracteurs étranges pour 
certaines applications de Hénon. (English summary) [Existence of strange attractors for 
some Hénon mappings] 92m:58086 

Franaszek, Marek (with Isomaki, Heikki M.) Anomalous chaotic transients and repellers of 
the bouncing-ball dynamics. 92b:58144 

Frank, G. W. (with Lookman, Turab; Nerenberg, M. A. H.) Recovering the attractor: a 
review of chaotic time-series analysis. 92b:58145 

— see also Corless, R. M.; et al., 92c:58074 

Fraser, Andrew M. Chaotic data and model building. (see 92f:00011) 

Fulitiski, A. (with Gudowska-Nowak, E.) Statistical properties of a dynamic process 
perturbed by a chaos-generator. 92k:58174 

Gallant, A. Ronald see Eliner, Stephen; et al., 92d:58132 

Galperin, G. A. (with Chernov, N. I.) * Bannuapgpi u xaoc. (Russian) [Billiards and chaos] 
92:58108 

Gambando, Jean-Marc (with Tresser, Charles) Diffeomorphisms with infinitely many 
strange attractors. 92e:58134 

Gavosto, Estela A. see Forness, John Erik, 92m:58086 

Ge, Yuzhen Universality of the fine structure in the chaotic regime of one-dimensional 
maps. 92b:58146 

Gerster Eiberle, Martin see Casastis Latorre, Luis, (92b:00044) 

Gherghetta, Tony see Christos, George A., 92e:58133 

Giacomelli, Giorgio (with Politi, Antonio) Spatio-temporal chaos and localization. 
92m:58087 

Gibson, John see Casdagli, Martin; et al., (92f:00011) 

Gilmore, Robert see Mindlin, G. B.; et al., 92i:58125 

Giona, Massimiliano (with Lentini, Fabrizio; Cimagalli, Valerio) Functional reconstruction 
and local prediction of chaotic time series. 92:58109 

Giorgilli, Antonio Relevance of exponentially large time scales in practical appliations: 
effective fractal dimensions in conservative dynamical systems. (see 92f:58003) 

Giovannini, Franco (with Politi, Antonio) Generating partitions in Hénon-type maps. 
92k:58175 

Giuliani, D. see Otero, Dino; et al., 92i:58127 

Glazier, James A. Chaos and the analysis of experimental data. (see 92b:58003) 

Goldhirsch, I. see Braiman, Y., 92b:58139 

Gol'dshtik, M. A. (with Shtern, V.N.) Structural turbulence. 92g:58083 

Gombani, Andrea see Di Masi, Giovanni B., 92c:58076 

Gonzalez, Diego L. see Feingold, Mario; et al., 92d:58133 

Grassberger, Peter Information and complexity in dy 
92£:00011) 

— see also Pikovskii, A. S., 92i:58128 

Grebogi, Celso see Ding, Ming Zhou; et al., 92b:58142; Ott, Edward; et al., 92e:58138; Ponce 
Dawson, Silvina; et al., 92k:58182 and Shinbrot, Troy; et al., 92k:58184 

Grindlay, John see Ross, S.; et al., 92h:58134 

Guckenheimer, John Computational environments for exploring dynamical systems. 
924:58134 

Gudowska-Nowak, E. see Fulitiski, A., 92k:58174 

Gulyaev, Yu. V see Bezruchko, B. P.; et al., 92j:58067 

Gumowski, Igor A road to chaos in fourth order systems seen from an applied point of view. 
(see 92m:58093) 

Gunaratne, Gemunu H. Universality beyond the onset of chaos. 92£:58110 

Gyérgyi, Géza A new scenario in dissipative systems: sequential extinction of strange 
attractors. 92c:58079 

Habip, S. see Bauer, Michael A.; et al., 92k:58170 

Hall, E., Il (with Kessler, S.; Hanagud, S.) Use of fractal dimension in the characterization 
of chaotic structural dynamic systems. 92g:58084 : 

Hanagud, S. see Hall, E., U1; et al., 92g:58084 

Hasegawa, Hiroshi H. see Prigogine, Ilya; et al., 92g:58090 

He, Da Ren see Bauer, Michael A.; et al., 92k:58170 

Henderson, Ross M. see Mehta, Nihal J., 92i:58124 

Henry, B. I. see Ross, S.; et al., 92h:58134 

Hess, Benno see Markus, Mario, (92m:58093) 











s. (see 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 1006 


Hirai, K. Coexistence of periodic points and chaos in a nonlinear discrete-time system. 
92a:58094 

Holm, Darryl D. (with Kovatié, Gregor; Sundaram, Bala) Chaotic laser-matter interaction. 
92m:58088 

Holzfuss, Joachim see Lauterborn, Werner, 92a:58096 

Honda, Katsuya see Kodama, Hiroya; et al., 92h:58128 

Horak, Jiti Qualitative dynamics, scenarios of generation of chaos and homoclinic 
structures. 924:58135 

Hou, Dian Hui see Liu, Zeng Rong; et al., 92i:58123 

Hou, X.-J. see Mindlin, G. B.; et al., 92i:58125 

Hu, Bambi Three routes to chaos: period doubling, intermittency, and quasiperiodicity. (see 
92c:82004) 

— see also Mao, Jian-Min, 92a:58098 and Kim, Sang-Yoon 

Huber, Albrecht see Pinnow, Kai M., 92g:58088 

Hudson, John L. see Réssler, Otto E.; et al., 92b:58148 and Bassett, M. R., (92b:80016) 

Huebener, R. P. see Peinke, Joachim; et al., (92m:58093) 

Hughes, David W. (with Proctor, Michael R. E.) Chaos and the effect of noise in a model of 
three-wave model coupling. 92i:58117 

Humke, Paul D. see Evans, Michael Jon; et al., 92m:58085 

Hurd, Lyman P. see Chen, Qi Keith; et al., 92e:58131 

Isomaki, Heikki M. Fractal properties of the bouncing-ball dynamics. 92a:58095 

— see also Franaszek, Marek, 92b:58144 and Kantola, S.-P., 92g:58085 

Iwanik, Anzelm Independence and scrambled sets for chaotic mappings. 92k:58176 

Jain, Sudhir R. see Azam, M.; et al., 92g:58081 

Jiménez Olivo, Pedro (with Sanchis Arnal, Ricardo; Pefia Miralles, Juan; Verdi Martin, 
Gumersindo; Mufioz-Cobo Gonzalez, José Luis) Transition to chaos of a nonlinear 
oscillator using Mel‘nikov analysis. (Spanish. English summary) (see 92b:00044) 

Jung, Christof see Bliimel, R.; et al., 92m:58083 

Jiirgens, Hartmut see Peitgen, Heinz-Otto; et al., 92a:58099 

Kan, Ittai see Ponce Dawson, Silvina; et al., 92k:58182 

Kaneko, Kunihiko Climbing up dynamical hierarchy. (see 92m:58093) 

— Globally coupled circle maps. 92i:58118 

— Errata: “Globally coupled chaos violates the law of large numbers but not the central-limit 
theorem” [Phys. Rev. Lett. 65 (1990), no. 12, 1391-1394; MR 91g:58190]. 92j:58069 

Kantola, S.-P. (with Isomaki, Heikki M.) Chaos, universality and fractals in a dissipative 
growth system. 92g:58085 

Kapitaniak, Tomasz * Chaotic oscillations in mechanical systems. 92¢e:58136 

— On strange nonchaotic attractors and their dimensions. 924:58136 

— (with El Naschie, M.S.) A note on randomness and strange behaviour. 92b:58147 

— (with Steeb, Willi-Hans) Transition to hyperchaos in coupled generalized van der Pol 
equations. 92e:58135 

— see also Brindley, J., 92d:58130 

Kaplan, Harvey Return to type-I intermittency. 92i:58119 

Kawabe, Takeshi (with Kondo, Yoshiro) Intermittent chaos generated by logarithmic map. 
92i:58120 

Kennedy, Judy (with Yorke, James A.) Basins of Wada. 92k:58177 

Kennel, M. B. see Abarbanel, Henry D. L.; et al., 92d:58126 

Kessler, S. see Hall, E., Il; et al., 92g:58084 

Ketoja, Jukka A. Strange dynamical objects of renormalisation. 924:58137 

Khanin, K.M. Thermodynamic formalism for critical circle mappings. 92d:58138 

Kim, Sang-Yoon (with Hu, Bambi) Recurrence of invariant circles in a dissipative 
standardlike map. 

Klein, Michael (with Baier, Gerold) Hierarchies of dynamical systems. (see 92m:58093) 

— see also Réssler, Otto E.; et al., 92b:58148; Baier, Gerold, 92c:58072 and Chaotic hierarchy, 
92m:58093 

Knizhnikova, L. A. see Chechetkin, V. R.; et al., 92m:58084 

Kogak, Hiiseyin see Ponce Dawson, Silvina; et al., 92k:58182 

Kodama, Hiroya (with Sato, Shinichi'; Honda, Katsuya) Renormalization-group theory on 
intermittent chaos in relation to its universality. 92h:58128 

Koebbe, Matthew (with Barr, Edith S.; Mayer-Kress, Gottfried; Ohsumi, Toshiro K.) 
Chaotic dynamics of flows, maps, and suspensions. (see 92m:58093) 

Kohmoto, Mahito Singularities in the thermodynamic formalism of multifractals. 
92h:58129 

Kolarik, Pavel see Pekdrek, Ludék 

Kondo, Yoshiro see Kawabe, Takeshi, 92i:58120 

Kovatit, Gregor see Holm, Darryl D.; et al., 92m:58088 

Kravtsov, Yu. A. Randomness and predictability of dynamic chaos. (Russian) 92f:58111 

Kuchta, Milan Characterization of chaos for continuous maps of the circle. 92f:58112 

Kunick, Albrecht see Steeb, Willi-Hans, 92d:58142 

Kurz, T. see Parlitz, U.; et al., 92c:58081 

Kutvitskii, V. A. see Chechetkin, V. R.; et al., 92m:58084 

Kuznetsov, A. P. (with Kuznetsov, S. P.; Sataev, I. R.) Bicritical dynamics of period- 
doubling systems with unidirectional coupling. 92k:58178 

Kuznetsov, S. P. (with Sataev, I. R.) New types of critical dynamics for two-dimensional 
maps. 92k:58179 

— see also Kuznetsov, A. P.; et al., 92k:58178 

Lasiené, G. see Cenys, A.; et al., 92£:58105 

Lauterborn, Werner (with Holzfuss, Joachim) Acoustic chaos. 92a:58096 

— see also Parlitz, U.; et al., 92c:58081 

Lawande, Suresh V. see Azam, M.,; et al., 92g:58081 

Leader, Jeffery J. A weakly chaotic iteration in R". 92i:58121 

Lee, Cheng Ming see Evans, Michael Jon; et al., 92m:58085 

Lentini, Fabrizio see Giona, Massimiliano; et al., 92f:58109 

Li, Shi Hai Dynamical properties of the shift map on the inverse limit space. (see 
92a:00038) 

Liao, Gong Fu w-limit sets and chaos for maps of the interval. 92a:58097 

Liu, Huai Jun Some new results about fixed pansystems theorems. (Chinese. English 
summary) 92i:58122 

Liu, Zeng Rong (with Xu, Zheng Fan; Wang, Qi Gao; Hou, Dian Hui) Completed and 
incompleted stochastic webs. (Chinese. English summary) 92i:58123 

















1007 


1992 


Leokman, Turab see Frank, G. W.; et al., 92b:58145 

(Lorenz, Edward) see Peitgen, Heinz-Otto; et al., 92a:58099 

Lowenstein, J. H. Scaling dynamics of deep orbits in a periodic stochastic web. 92e:58137 

Lozi, René (with Ushiki, Shigehiro) Coexisting chaotic attractors in Chua’s circuit. 
92m:58089 

Libke, Per J. see Pinnow, Kai M., 92h:58132 

Lundqvist, S.O. Chaos, order, patterns, fractals—an overview. (see 92i:58001) 

Marcelo O. see Feingold, Mario; et al., 92d:58133 

Malinetskii, G.G. (with Potapov, A. B.) The geometry of strange attractors and determina- 
tion of Lyapunov exponents from time series. (Russian. English summary) 92m:58090 

Mandelbrot, Benoit B. Random multifractals: negative dimensions and the resulting 
limitations of the thermodynamic formalism. 92g:58086 

— see also Peitgen, Heinz-Otto; et al., 92a:58099 

Manneville, Paul see Chaté, H., 92k:58172 

Mao, Jian-Min (with Hu, Bambi) Multiple scaling and the fine structure of period 
doubling. 92a:58098 

Markus, Mario (with Hess, Benno) Properties of modulated one-dimensional maps. (see 
92m:58093) 

Martienssen, Werner see Bauer, Michael A.; et al., 92k:58170 

Martinez, I. see Pérez del Rio, J. Suarez, (92g:00024) 

Mather, John N. Variational construction of orbits of twist diffeomorphisms. 924:58139 

Mayer-Kress, Gottfried see Koebbe, Matthew; et al., (92m:58093) 

McCaffrey, Daniel see Eliner, Stephen; et al., 92d:58132 

McCauley, J. L., Jr. (with Palmore, J. 1.) Computable chaotic orbits of ergodic dynamical 
systems. (see 92b:82005) 

Mees, Alistair I. Dynamical systems and tesselations: detecting determinism in data. 
92k:58180 

Mehta, Nihal J. (with Henderson, Ross M.) Controlling chaos to generate aperiodic orbits. 
92i:58124 

Meiss, J.D. see Chen, Qi Keith; et al., 92c:58073 

Mindlin, G. B. (with Solari, H. G.; Natiello, M. A.; Gilmore, Robert; Hou, X.-J.) Topo- 
logical analysis of chaotic time series data from the Belousov-Zhabotinskii reaction. 
92i:58125 

Mira, Christian Chaotic hierarchy from the one-dimensional box-within-a-box bifurcations 
structure properties. (see 92m:58093) 

— see also Réssler, Otto E.; et al., 92b:58148 

Mizera, I. The size of scrambled sets: n-dimensional case. 92d:58140 

Monroe, J.Graham see Corless, R. M.; et al., 92c:58074 

Moon, Francis C. Experimental measurement of chaotic attractors in solid mechanics. 
921:58126 

Mori, Hazime (with Okamoto, Hisao; Tominaga, Hirotaka) Energy dissipation and its 
fluctuations in chaotic dynamical systems. 92h:58130 

— see also Tominaga, Hirotaka, 92i:58130 

Muiioz-Cobo Gonzalez, José Luis see Jiménez Olivo, Pedro; et al., (92b:00044) 

Murray, N. W. see Chen, Qi Keith; et al., 92c:58073 

Natiello, M. A. see Mindlin, G. B.; et al., 92i:58125 

Nepomnyashchii, A. A. The dynamics of defects and the onset of spatial chaos in one- 
dimensional systems. (Russian) 92h:58131 

Nerenberg, M. A. H. see Frank, G. W.; et al., 92b:58145 and Essex, Christopher, 92h:58127 

Nicolis, John S. On the parallel between Zipf’s law and 1/f processes in chaotic systems 
possessing coexisting attractors. 92g:58087 

— Chaos and information processing: multifractal attractors mediating perception and 
cognition. (see 92f:00011) 

Nishizawa, Kiyoko see Yoshimoto, Minako, 92i:58131 

Norris, D.O. (with Soewono, E.) Period doubling and chaotic behavior of solutions to 
y(t) = uy()(1 — y(O[(t + a)/5])). 920:58080 

Nychka, Douglas see Eliner, Stephen; et al., 92d:58132 

Ohsumi, Toshiro K. see Koebbe, Matthew; et al., (92m:58093) 

Okamoto, Hisao see Mori, Hazime; et al., 92h:58130 

Oliva, Waldyr Muniz On the chaotic behavior and the nonintegrability of the four vortices 
problem. (French summary) 92j:58070 

Olson, Collin L. (with Olsson, M.G.) Dynamical symmetry breaking and chaos in Duffing’s 
equation. 92j:58071 

Olsson, M. G. see Olson, Collin L., 92j:58071 

O’Malley, Richard J. see Evans, Michael Jon; et al., 92m:58085 

Otero, Dino (with Giuliani, D.; Sassano, M.) Temporal dimension and transition out of 
chaos. 92i:58127 

Otnes, Kaare see Riste, Tormod, (92b:82005) 

Ott, Edward (with Grebogi, Celso; Yorke, James A.) Controlling chaotic dynamical 
systems. 92e:58138 

— see also Ding, Ming Zhou; et al., 92b:58142; Chen, Qi Keith; et al., 92e:58131 and 
Shinbrot, Troy; et al., 92k:58184 

Ovsyannikov, I. M. (with Shil'nikov, L. P.) Systems with a homoclinic curve of a multidi- 
mensional saddle-focus, and spiral chaos. (Russian) 92k:58181 

Pagano, S. see Soerensen, M. P.; et al., 92g:58091 

Palmer, Kenneth J. see Chow, Shui-Nee, 92h:58126 

Palmore, J.1I. see McCauley, J. L., Jr., (92b:82005) 

Papageorgiou, Demetrios T. see Smyrlis, Yiorgos S., 92h:58136 

Parisi, Jiirgen see Peinke, Joachim; et al., (92m:58093) 

Parlitz, U. (with Scheffczyk, C.; Kurz, T.; Lauterborn, Werner) Two-dimensional maps 
modelling periodically driven strictly dissipative oscillators. 92¢:58081 

Passamante, A. see Albano, A. M.; et al., 92i:58111 

Pecora, Louis M. (with Carroll, Thomas L.) Synchronization in chaotic systems. 92c:58082 

Pedersen, N. F. see Soerensen, M. P.; et al., 92g:58091 

Peinke, Joachim (with Parisi, Jiirgen; Rau, U.; Clauss, W.; Rohricht, B.; Huebener, R. 
P.; Stoop, Ruedi) Experimental progress on the ladder towards higher chaos. (see 
92m:58093) 

Peitgen, Heinz-Otto (with Jurgens, Hartmut; Saupe, Dietmar; Zahlten, C.) Fractals. 
92a:58099 


58F Ordinary differential equations on manifolds; dynamical systems 


S8F13 






Pekdrek, Ludék (with Kolatik, Pavel) Deterministic physical systems with chaotic 
behavior. (Czech) 

Peiia Miralles, Juan see Jiménez Olivo, Pedro; et al., (92b:00044) 

Percival, lan C. Order and chaos in Hamiltonian systems. (see 92i:58001) 

— see also Chen, Qi Keith; et al., 92c:58073 and Buric, Nikola; et al., 92k:58171 

Pérez del Rio, J. Suarez (with Martinez, I.) Evolution from a periodic regime to a chaotic 
one in some second-order recurrences. (Spanish) (see 92g:00024) 

Petek, Peter Iteration of quadratic functions. (Slovenian. English summary) 92a:58100 

Petrosky, Tomio Y. see Prigogine, Ilya; et al., 92g:58090 

Pikovskii, A.S. (with Shekhov, V.G.) Universal behaviour of two coupled circle maps. 
92a:58101 

— (with Grassberger, Peter) Symmetry breaking bifurcation for coupled chaotic attractors. 
92i:58128 

Pinnow, Kai M. (with Huber, Albrecht) Nonsymmetric circle maps. 92g:58088 

— (with Liibke, Per J.) Scales interference and identification at the transition to chaos. 
92h:58132 

Pidérek, Jézef On generic chaos of shifts in function spaces. 92a:58102 

Piragas, K. A. see Cenys, A.; et al., 92f:58105 

Piro, Oreste see Feingold, Mario; et al., 92d:58133 and Buric, Nikola; et al., 92k:58171 

Politi, Antonio (with Badii, R.) On the nonhyperbolic phase of quadratic 2-d transforma- 
tions. 924:58141 

— Low-dimensional evolution of nonlinear dynamical systems. (see 92c:58025) 

— see also Giovannini, Franco, 92k:58175 and Giacomelli, Giorgio, 92m:58087 

Pomeau, Yves see Defontaines, Anne-Dominique; et al., 92c:58075 

Ponce Dawson, Silvina (with Grebogi, Celso; Yorke, James A.; Kan, Ittai; Kocak, Hiiseyin) 
Antimonotonicity: inevitable reversals of period-doubling cascades. 92k:58182 

Post, T. (with Capel, H. W.; van der Weele, J. P.) New results in intermittent switching. 
92g:58089 

Potapov, A. B. see Malinetskii, G. G., 92m:58090 

Prigogine, Ilya (with Petrosky, Tomio Y.; Hasegawa, Hiroshi H.; Tasaki, S.) Integrability 
and chaos in classical and quantum mechanics. 92g:58090 

Proctor, Michael R. E. see Hughes, David W., 92i:58117 

Pudovochkin, O. B. see Bezruchko, B. P.; et al., 92j:58067 

Qin, Meng Zhao Using symplectic schemes to calculate chaotic behavior in Hamiltonian 
systems. (Chinese. English summary) 92i:58129 

Rabinovich, M.1. see Aranson, I. S.; et al., 92i:58112 

Rau, U. see Peinke, Joachim; et al., (92m:58093) 

Reick, C. On the experimental observability of conservative scaling in the Feigenbaum 
transition to chaos. 92h:58133 

Reiman, A. M. see Afraimovich, V. S., 92g:58080 

Richetti, P. see Argoul, F.; et al., (92m:58093) 

Riste, Tormod (with Otnes, Kaare) The dimensions of strange attractors: a survey of 
experimental studies. (see 92b:82005) 

Rohricht, B. see Peinke, Joachim; et al., (92m:58093) 

Ross, S. (with Grindlay, John; Henry, B. I.) Chaos in a chain of six particles with fixed ends 
(a4+2chain). 92h:58134 

Réssler, Otto E. (with Hudson, John L.; Klein, Michael; Mira, Christian) Self-similar basin 
boundary in a continuous system. 92b:58148 

— The chaotic hierarchy [MR 85b:58086]. (see 92m:58093) 

— Four open problems in four dimensions. (see 92m:58093) 

— Publication list on chaos. (see 92m:58093) 

Rostand, Bruno see Defontaines, Anne-Dominique; et al., 92c:58075 

(Ruelle, David) see Essex, Christopher, 92h:58127 

Sagdeev, R. Z. (with Zaslavskii,G.M.) Dynamic origin of fivefold symmetry. 92k:58183 

— see also Afanas’ev, V. V.; et al., 92i:58110 and Zaslavskii, G. M.; et al., 92m:58092 

Salerno, Mario see De Filippo, Sergio, 92f:58107 

Sanchis Arnal, Ricardo see Jiménez Olivo, Pedro; et al., (92b:00044) 

Sassano, M. see Otero, Dino; et al., 92i:58127 

Sataev, I. R. see Kuznetsov, A. P.; et al., 92k:58178 and Kuznetsov, S. P., 92k:58179 

Sato, Shinichi! see Kodama, Hiroya; et al., 92h:58128 

Sauer, Tim (with Yorke, James A.) Shadowing trajectories of dynamical systems. 
92¢:58083 

Saupe, Dietmar see Peitgen, Heinz-Otto; et al., 92a:58099 

Scheffczyk, C. see Parlitz, U.; et al., 92c:58081 

Schori, Richard M. Chaos: an introduction to some topological aspects. 92f:58113 

Seleznev, E. P. see Bezruchko, B. P.; et al., 92j:58067 

Shekhov, V.G. see Pikovskii, A. S., 92a:58101 

Shen, Jia Qi (with Cheng, Fu De) Chaotic behavior of a class of generalized Duffing 
equations of Holmes type. (Chinese. English summary) 92h:58135 

Shil/nikov, A. L. Bifurcations and chaos in the Marioka-Shimizu model. II. (Russian) 
92e:58139 

— see also Bykov, V. V., 92a:58092 

Shil/nikov, L. P. see Ovsyannikov, I. M., 92k:58181 

Shimada, Ippei (with Yanagita, Tatsuo) Optimized statistical model for Lorenz system. 
92c:58084 

Shimizu, Toshihiro Perturbation theory analysis of chaos. III. Period doubling bifurcations 
in a simple model. 92m:58091 

Shinbrot, Troy (with Ott, Edward; Grebogi, Celso; Yorke, James A.) Using chaos to direct 
orbits to targets in systems describable by a one-dimensional map. 92k:58184 

Shtern, V.N. see Gol’dshtik, M. A., 92g:58083 

Sidorowich, John J. see Farmer, J. Doyne, 92b:58143 

(Sinai, Ya. G.) see Gal’perin, G. A., 92f:58108 

Smilansky, U. see Blimel, R.; et al., 92m:58083 

Smith, Leonard A. Applied chaos: quantifying complex systems. (see 92f:00011) 

Smyrlis, Yiorgos S. (with Papageorgiou, Demetrios T.) Predicting chaos for infinite- 
dimensional dynamical systems: the Kuramoto-Sivashinsky equation, a case study. 
92h:58136 

Snoha, Lubomir Generic chaos. 92b:58149 

Soerensen, M. P. (with Davidson, Arthur; Pedersen, N. F.; Pagano, S.) Global analysis of 

the Josephson junction dynamics using cell mapping. 92g:58091 





58F13 


Soewono, E. see Norris, D. O., 92c:58080 

Solari, H. G. see Mindlin, G. B.; et al., 92i:58125 

de Sousa Vieira, M. C. (with Tsallis,C.) Gap road: a new path to chaos. 92b:58159 

Sreenivasan, K. R. see Chhabra, Ashvin B., (92f:76006) 

Stark, Jaroslav Determining the critical transition for circles of arbitrary rotation number. 
92k:58185 

Steeb, Willi-Hans (with Kunick, Albrecht) * Chaos in dynamischen Systemen. (German) 
[Chaos in dynamical systems] 924:58142 

— see also Kapitaniak, Tomasz, 92e:58135 

Stephenson, John W. (with Wang, Yong) Numerical solution of Feigenbaum’s equation. 
92c:58085 

Stone, Emily F. Frequency entrainment of a phase coherent attractor. 92k:58186 

Stoop, Ruedi see Peinke, Joachim; et al., (92m:58093) 

Sundaram, Bala see Holm, Darryl D.; et al., 92m:58088 

Swift, J. B. see Cosenza, M. G., 92b:58141 

Szépfalusy, Péter Properties of generalized entropies in one-dimensional maps. 92c:58086 

Takayasu, Hideki * Fractals in the physical sciences. 92f:58114 

Tasaki, S. see Prigogine, Ilya; et al., 92g:58090 

Theiler, James Some comments on the correlation dimension of // f* noise. 924:58143 

Tominaga, Hirotaka (with Mori, Hazime) Crossover of the f(a) spectra between critical 
and chaotic regime, and universal critical scaling laws for two-dimensional fractality. 
92i:58130 

— see also Mori, Hazime; et al., 92h:58130 

Tomita, Kazuhisa Conjugate pair of representations in chaos and quantum mechanics. (see 
92m:58093) 

Tresser, Charles see Gambaudo, Jean-Marc, 92e:58134 

Troll, G. A devil’s staircase into chaotic scattering. 92c:58087 

Tsallis,C. see de Sousa Vieira, M. C., 92b:58150 

Ushiki, Shigehiro see Lozi, René, 92m:58089 

Usikov, D. A. see Zaslavskii, G. M.; et al., 92m:58092 

Valkering, Theo P. (with Zeegers, Th.) Period doubling solitons: yes or no? 92£:58115 

Verdi Martin, Gumersindo see Jiménez Olivo, Pedro; et al., (92b:00044) 

Vincent, Thomas L. (with Yu, Jian Zu) Control of a chaotic system. 92¢:58088 

Wang, Guang Rui (with Chen, Shi Gang) Chaotic measures and scaling laws for supercriti- 
cal circle maps. (Chinese. English summary) 92a:58103 

Wang, Qi Gao see Liu, Zeng Rong; et al., 92i:58123 

Wang, Yong see Stephenson, John W., 92c:58085 

Wang, You Qin see Chen, Shi Gang, 924:58131 

van der Weele, J.P. see Post, T.; et al., 92g:58089 

Whittaker, James V. An analytical description of some simple cases of chaotic behaviour. 
92h:58137 

Williams, R. F. How big is the intersection of two thick Cantor sets? 92f:58116 

Willson, Stephen J. Iterating maps on cellular complexes. 92j:58072 

Wolf, Alan (with Bessoir, Tom) Diagnosing chaos in the Space Circle. 92¢:58089 

Wa, Qi Xue A study on chaotic characteristic of a special Hamiltonian system. (Chinese. 
English summary) 92c:58090 

Xu, Zheng Fan see Liu, Zeng Rong; et al., 92i:58123 

Yanagita, Tatsuo see Shimada, Ippei, 92c:58084 

Yorke, James A. see Ding, Ming Zhou; et al., 92b:58142; Sauer, Tim, 92c:58083; Ott, 
Edward; et al., 92e:58138; Kennedy, Judy, 92k:58177; Ponce Dawson, Silvina; et al., 
92k:58182 and Shinbrot, Troy; et al., 92k:58184 

Yoshimoto, Minako (with Nishizawa, Kiyoko) Merger of chaotic bands in period-doubling 
cascades. 92i:58131 

Yu, Jian Zu see Vincent, Thomas L., 92c:58088 

Zahiten, C. see Peitgen, Heinz-Otto; et al., 92a:58099 

Zaslavskii, G. M. (with Sagdeev, R. Z.; Usikov, D. A.; Chernikov, Aleksandr Antonovich) 
A stochastic spiderweb and the symmetry of structures. (Russian) 92m:58092 

— Hamiltonian chaos. (see 92c:58001) 

— see also Afanas’ev, V. V.; et al., 92i:58110 and Sagdeev, R. Z., 92k:58183 

Zeegers, Th. see Valkering, Theo P., 92f:58115 

Zhou, Ziliang New method on bifurcation and chaos of the logistic model. 92c:58091 


Items listed otherwise than by author 
Bibliography: 

Chaos see Réssler, Otto E., (92m:58093) 

Rissler, O. E. see Réssler, Otto E., (92m:58093) 
Chaotic hierarchy * A chaotic hierarchy. 92m:58093 


Items with secondary classifications in 58F13 

Abarbanel, Henry D.I. see Martean, P. F., 92h:58182 

Abdullaev, F. Kh. (with Darmanyan, S. A.; Umarov, B. A.) Chaotic dynamics of the sine- 
Gordon solitons under the action of periodic perturbations. 92j:35158 

Abdullaev, S.S. Classical chaos and nonlinear dynamics of rays in inhomogeneous media. 
92j:78015 

Ablowitz, Mark J. (with Herbst, B. M.) On homoclinic boundaries in the nonlinear 
Schrédinger equation. 924:35265 

— see also Herbst, B. M., 92c:58139 

Abraham, Frederick David * A visual introduction to dynamical systems theory for 
psychology. 

Abraham, Ralph H. Phase regulation of coupled oscillators and chaos. (see 92m:58093) 

— (with Corliss, John B.; Dorband, John E.) Order and chaos in the toral logistic lattice. 
92a:58070 

— see also Abraham, Frederick David 

Aceves, Alejandro (with Holm, Darryl D.; Kovatit, Gregor) Chaotic dynamics due to 
competition among degenerate modes in a ring-cavity laser. 92i:78022 

Afendikov, A. L. (with Varin, V. P.) A problem of Kolmogorov. (Russian) 92d:76028 

— (with Varin, V. P.) Bifurcations of some plane viscous fluid flow and transition to 
turbulence. 92f:76059 

Agnes, Corrado (with Rasetti, Mario G.) Undecidability of the inverse problem for chaotic 
symbolic dynamics. 92h:03066 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 1992 1008 


— (with Rasetti, Mario G.) Undecidability of the word problem and chaos in symbolic 
dynamics. 92h:58056 

Aihara, Kazuyuki see Judd, Kevin; et al., 92a:58130 

Aizawa, Yoji (with Kikuchi, Yasuhiro) Multi-ergodic aspects of Hamiltonian dynamics. 
92¢:58059 

Allen, J.S. (with Samelson, R. M.; Newberger, P. A.) Chaos in a model of forced quasi- 
geostrophic flow over topography: an application of Mel/nikov’s method. 92e:76025 

Amritkar, R. E. (with Gade, P.M.) Characterizing loss of memory in chaotic dynamical 
systems. 92k:58148 

— see also Gupte, Neelima, 92d:82036 

Androulakakis, Stavros P. (with Hartley, Tom T.; Greenspan, Bernard; Qammar, Helen) 
Practical considerations on the calculation of the uncertainty exponent and the fractal 
dimension of basin boundaries. 92i:58106 

Anosov, D. V. (with Aranson, S. Kh.; Grines, V. Z.; et al.) Dynamical systems with 
hyperbolic behavior. (Russian) 92k:58197 

Antonyuk, P. N. (with Stanyukovich, K. P.) Periodic solutions of a logistic difference 
equation. (Russian) 92f:39003 

Aracil, J. (with Toro, M.) Bifurcations and chaos in a predator-prey-food ecological model. 
92d:92033 

Aranson, I.S. (with Reiman, A. M.; Shekhov, V.G.) Methods for the measurement of 
correlation dimension in an experiment. (Russian) 92m:94003 

— (with Gaponov-Grekhov, A. V.; Gorshkov, K. A.; Rabinovich, M. I.) Models of 
turbulence: chaotic dynamics of structures. (see 92c:58001) 

— (with Ezersky, A. B.; Rabinovich, M. I.; Tsimring, L. Sh.) Impurity transport in 
parametrically excited capillary ripples. 92a:76011 

Aranson, S. Kh. see Anosov, D. V.; et al., 92k:58197 

Arecchi, F. T. Shil'nikov chaos in lasers. (see 92£:58003) 

— Instabilities and chaos in lasers: introduction to hyperchaos. (see 92i:58001) 

Argoul, F. (with Arneodo, Alain; Richetti, P.) Symbolic dynamics in the Belousov- 
Zhabotinskii reaction: an experimental and theoretical approach to Shil/nikov chaos. 
92£:80020 

Arneodo, Alain see Argoul, F.; et al., 92f:80020 

Arovas, D. P. see Lebeeuf, P.; et al., 92m:81056 

Artuso, Roberto (with Aurell, Erik; Cvitanovi¢, Predrag) Recycling of strange sets. I. Cycle 
expansions. 92c:58104 

— (with Aurell, Erik; Cvitanovi¢, Predrag) Recycling of strange sets. II. Applications. 
92¢:58105 

Athalye, Amit M. see Grantham, Walter J., (92f:92004) 

Aubry, Nadine (with Guyonnet, Régis; Lima, Ricardo) Spatiotemporal analysis of complex 
signals: theory and applications. 92h:58181 

Aurell, Erik see Artuso, Roberto; et al., 92c:58104 and 92c:58105 

Aurich, R. (with Steiner, F.) Exact theory for the quantum eigenstates of a strongly chaotic 
system. 92¢:81040 

Awrejcewicz, J. Nonlinear dynamics of a two-body nonlinear mechanical system. 92j:70027 

— (with Someya, Tsuneo) Periodic, quasi-periodic and chaotic orbits and their bifurcations 
in a system of coupled oscillators. 92k:70024 

— Chaos in a sinusoidally (parametrically and externally) driven system with three degrees 
of freedom. (Russian and Polish summaries) 

— (with Reinhardt, W.-D.) Observation of chaos in the nonautonomous system with two 
degrees of freedom. 92g:70020 

Bae, Jong Sook (with Sung, Nak So) An example of a partially ordered Sharkovsky space. 
92a:58108 

Barany, E. see Swift, James W., 92f:76043 

Barnsley, Michael F. Lecture notes on iterated function systems. 92d:39015 

Bartuccelli, M. Cantori spectra for the sawtooth map. 92i:58144 

Bau, Haim H. see Wang, Yu Zhou; et al. 

(Bauer, Michael A.) see Martienssen, Werner, 92j:00029 

Bauer, Wolfgang see Kusnezov, Dimitri; et al., 92a:82079 

Bayfield, James E. Experiment and theory of the classically chaotic motion of the driven 
bound electron. (see 92f:58003) 

— Diffusion and localization in a classically chaotic driven quantum system. 92e:81033 

Bayliss, Alvin (with Matkowsky, Bernard J.) Bifurcation, pattern formation and chaos in 
combustion. 92c:80017 

Bedford, Tim Applications of dynamical systems theory to fractals—a study of cookie-cutter 
Cantor sets. (see 92f:58002) 

(Bélair, Jacques) see Fractal geometry and analysis, 92f:58002 

Belyaev, Yu. N. (with Yavorskaya, I. M.) Spherical Couette flow: transitions and onset of 
chaos. (Russian) 92i:76002 

Benedettini, F. see Rega, G.; et al., 92f:73035 

Benedicks, Michael (with Carleson, Lennart) The dynamics of the Hénon map. 924:58116 

Benvenuto, Francesco (with Casati, Giulio; Pikovskii, A. S.; Shepelyanskii, D. L.) Manifes- 
tations of classical and quantum chaos in nonlinear wave propagation. 

Berry, Michael Victor Classical chaos and quantum eigenvalues. (see 92i:58001) 

— (with Keating, Jonathan Peter) A rule for quantizing chaos? 92m:81053 

— see also Goldberg, Joel Hart; et al., 92a:81039 and Keating, Jonathan Peter, (92f:58003) 

Bessis, Daniel (with Mantica, Giorgio) Construction of multifractal measures in dynamical 
systems from their invariance properties. 92c:58060 

Biesiada, Marek see Szydiowski, Marek, 92h:83024 

Blank, M. L. Marginal singularities, almost invariant sets, and small perturbations of 
chaotic dynamical systems. 92k:58150 

Blondeaux, Paolo (with Vittori, Giovanna) A route to chaos in an oscillatory flow: 
Feigenbaum scenario. 92k:76044 

Bokolishvili, I. B. (with Kashchenko, S. A.; Malinetskii, G. G.; Potapov, A. B.) Complex 
ordering and stochastic oscillations in some reaction-diffusion systems. (see 92i:65009) 

Bolotin, Yu. L. (with Vinitskii, S. I.; Gonchar, V. Yu.; Chekanov, N. A.) Dynamical chaos 
in the linear 3a system. (Russian) 92b:81231 

Botelho, F. Rotational entropy for annulus endomorphisms. 92i:58099 

Boyarsky, Abraham see Gora, Pawel; et al., 92b:58127 

Bradley, Elizabeth Control algorithms for chaotic systems. (see 92i:93004) 

Brindley, J. (with Kapitaniak, Tomasz; El Naschie, M.S.) Analytical conditions for strange 





1009 1992 


chaotic and nonchaotic attractors of the quasiperiodically forced van der Pol equation. 
92h:58171 

Brock, William A. (with Hsieh, David A.; LeBaron, Blake) * Nonlinear dynamics, chaos, 
and instability: statistical theory and economic evidence. 92h:90031 

Broomhead, D. S. (with Indik, R.; Newell, Alan C.; Rand, D. A.) Local adaptive Galerkin 
bases for large-dimensional dynamical systems. 92b:58136 

— see also Healey, J. J.; et al., 92a:34033 

Brown, Michael G. (with Tappert, Frederick D.; Sundaram, Sekhar E. R. B.) Chaos in 
small-amplitude surface gravity waves over slowly varying bathymetry. 92b:76007 

Brown, Ray (with Chua, Leon O.) Generalizing the twist-and-flip paradigm. 92k:58187 

Bruhn, B. (with Koch, B. P.) H linic bif ions and invariant manifolds in rocking 
block dynamics. 92¢:70026 

Bulgac, Aurel see Kusnezov, Dimitri; et al., 92a:82079 

Bunyakin, A. V. Singular points of the solution of the Lorenz system of differential 
equations. (Russian) 92j:34054 

Camassa, R. (with Wiggins, Stephen) Chaotic advection in a Rayleigh-Bénard flow. 
92e:76021 

Campbell, David K. (with Peyrard, Michel) Chaos and order in nonintegrable model field 
theories. 92h:35197 

— see also Chaos/Xaoc, 92c:58001 

Carleson, Lennart Stochastic models of some dynamical systems. 92k:58152 

— see also Benedicks, Michael, 92d:58116 

Carneiro, C. E. 1. (with Wreszinski, W. F.) Spin-glass nature of the chaotic phase of a 
system with competing interactions. 92e:82062 

Carroll, John M. (with Verhagen, Jeff; Wong, Perry T.) Chaos in cryptography: the escape 
from the strange attractor. 

Carroll, Thomas L. see Pecora, Louis M., 92d:58122 

Casati, Giulio Quantum mechanics and chaos. (see 92£:58003) 

— see also Benvenuto, Francesco; et al. 

Chaikovsky, D. K. (with Zaslavskii,G. M.) Channeling and percolation in two-dimensional 
chaotic dynamics. 92i:58157 

Champneys, Alan R. Homociinic orbits in the dynamics of articulated pipes conveying fluid. 
921:73042 

Chekanov, N. A. see Bolotin, Yu. L.; et al., 92b:81231 

Chen, Zhi Rong (with Zhao, Lian Qing; Niu, Wen Zhang) Chaotic behaviour of forced 
Oregonator oscillator. 

Cheng, Bing see Tong, Howell 

Cheng, Fu De A group of chaotic motion of soft spring quadratic Duffing equations. 
(Chinese. English summary) 92m:70040 

Choi, Han S. (with Lou, Jack Y. K.) Nonlinear behavior and chaotic motions of an SDOF 
system with piecewise-nonlinear stiffness. 92j:70025 

Choie, Y. J. (with Kim, Seung-hwan; Lee, Chung-Nim) Chaotic dynamics and the geometry 
of the error surface in neural networks. 92i:92004 

Chua, Leon O. see Brown, Ray, 92k:58187 

Cicogna, G. Breaking symmetries in nonlinear dynamic problems. 92c:58092 

Clarke, Bruce L. Stoichiometric network analysis. (see 92m:58093) 

Cliffe, K. A. see Healey, J. J.; et al., 92a:34033 

Contopoulos, G. Periodic orbits and chaos around two black holes. 92b:83070 

Corliss, John B. see Abraham, Ralph H.; et al., 92a:58070 

Cuerno, R. (with Raada, Antonio F.; Ruiz-Lorenzo, J. J.) Deterministic chaos in the 
elastic pendulum: a simple laboratory for nonlinear dynamics. 92j:70028 

Cutler, C. D. Some results on the behavior and estimation of the fractal dimensions of 
distributions on attractors. 92b:58137 

— Erratum and addendum: “Some results on the behavior and estimation of the fractal 
dimensions of distributions on attractors” [J. Statist. Phys. 62 (1991), no. 3-4, 651-708; 
MR 92b:58137]. 

Cvitanovi¢, Predrag Periodic orbits as the skeleton of classical and quantum chaos. 
92k:58214 

— see also Artuso, Roberto; et al., 92c:58104 and 92c:58105 

Dahlqvist, Per Semiclassical mechanics of bound chaotic potentials. 92m:81048 

Daniel, Muthiah (with Kruskal, Martin D.; Lakshmanan, M.; Nakamura, Katsuhiro) 
Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and 
transverse field: nonintegrability and chaos. 92m:82090 

Darmanyan, S. A. see Abdullaev, F. Kh.; et al., 92j:35158 

David, Daniel Integrability and chaos in nonlinearly coupled optical beams. 924:58195 

— (with Holm, Darryl D.; Tratnik, M. V.) Hamiltonian chaos in nonlinear optical 
polarization dynamics. 92j:58098 

De Matteis, A. Order out of chaos in arithmetic. (see 92c:58025) 

Dendrinos, Dimitrios S. Evolution of a ring-attractor in socio-spatial dynamics. 92k:58164 

Desai, Rashmi C. see Puri, Sanjay; et al., 92d:58193 and 92m:82076 

(Dewar, R. L.) see Nonlinear dynamics and chaos, 92k:58003 

Diacu, Florin Nicolae Tame and chaotic behavior in the planar isosceles 3-body problem. 
92m:70014 

Diamond, Phil Iterated maps on discretized meshes of the unit interval. 92b:58113 

Ding, E Jiang (with Li, Yan Nan) Universal scaling behavior in the weakly coupled map 
lattice. 92i:58089 

Ding, Ming Zhou see Hao, Bai Lin, 92b:58061 

Ditto, W. L. see Heagy, J., 92j:34073 

Dittrich, Thomas (with Graham, Robert) Long time behavior in the quantized standard 
map with dissipation. 92b:81042 

(Dobroslavskii, A.S.) see Klimontovich, Yu. L., 92j:82039b 

Domokos, Gabor Digital modelling of chaotic motion. 92c:68202 

Dorband, John E. see Abraham, Ralph H.; et al., 92a:58070 

Dowell, Earl H. see Higuchi, Ken, 92a:73032 and S 

(Dubuc, Serge) see Fractal geometry and analysis, 921:58002 

Dum, R. see Schmidt, Ginter, 92a:34035 

Dvorak, Ivan see Palu’, Milan, 92m:58078 

Easton, Robert W. Transport through chaos. 924:58103 

Ebeling, Werner see Feistel, Rainer 

(Eberhardt, Thomas) see Jirgens, Hartmut; et al., 92d:00003 








MecLa & 


pnicka, W. 


58F Ordinary differential equations on manifolds; dynamical systems 


58F13 


Eckelt, P. (with Zienicke, E.) Chaos in one-dimensional collision complexes. 92b:70031 

Eckmann, Jean-Pierre (with Procaccia, Itamar) The generation of spatio-temporal chaos in 
large aspect ratio hydrodynamics. 92b:76053 

— (with Goren, Gilad; Procaccia, Itamar) Nonequilibrium nucleation of topological defects 
as a deterministic phenomenon. 924:58196 

Eickermann, Th. see Spatschek, K. H.; et al., (92d:58004) 

El Naschie, M.S. (with Kapitaniak, Tomasz) Soliton chaos models for mechanical and 
biological elastic chains. 92m:73105 

— see also Brindley, J.; et al., 92h:58171 

Epstein, Henri Fixed points of composition operators. (see 92f:58003) 

Epstein, Irving R. Chemical oscillators and nonlinear chemical dynamics. 92b:92061 

— see also Lengyel, Istvan, 92h:80016 

Ercolani, Nicholas M. (with Forest, M. G.; McLaughlin, David W.) Geometry of the 
modulational instability. II]. Homoclinic orbits for the periodic sine-Gordon equation. 
92k:35242 

Errafiy, M. (with Zeytounian, R. Kh.) The Bénard problem for deep convection: routes to 
chaos. 92i:76040 

Ershov, S. V. On the influence of small noise on one-dimensional mappings. (Russian. 
English summary) 924:58104 

Evans, Nolan W. (with Illner, Reinhard; Kwan, Hon C.) On information-processing 
abilities of chaotic dynamical systems. 92m:92026 

Eykholt, R. see Zeng, X.; et al., 92k:58147 

Ezersky, A. B. see Aranson, I. S.; et al., 92a:76011 

Falcioni, Massimo see Vulpiani, Angelo, 92c:76037 

Falconer, Kenneth J. * Fractal geometry. 92j:28008 

de Faria, Margarida see Vilela Mendes, Rui; et al., (92d:00033) 

Fedorenko, V. V. (with Smital, J.) Maps of the interval Ljapunov stable on the set of 
nonwandering points. 92g:58063 

Feigenbaum, Mitchell J. Complicated objects on regular trees. (see 92f:58003) 

— Presentation functions and scaling function theory for circle maps [MR 90h:58047]. (see 
92c:58001) 

Feingold, Mario (with Littlejohn, Robert G.; Solina, Stephani B.; Pehling, J. S.; Piro, Oreste) 
Scars in billiards: the phase space approach. 92a:81038 

— see also Lebeuf, P.; et al., 92m:81056 

Feistel, Rainer (with Ebeling, Werner) * Evolution of complex systems. 

Feng, Qi Yuan see Xu, Da Guang; et al., 92c:82108 

Feng, Qing Zeng Instability and chaos in 2-dimensional viscous flow past a circular cylinder. 
92h:76046 

Feng, Zaichun (with Sethna, P. R.) Global bifurcation and chaos in parametrically forced 
systems with one-one resonance. 92b:58158 

(Fisher, Michael Ernest) see Grantham, Walter J., (92f:92004) 

Ford, Joseph (with Mantica, Giorgio; Ristow, Gerald H.) The Arnold cat: failure of the 
correspondence principle. 92k:81040 

Forest, M. G. see Ercolani, Nicholas M.; et al., 92k:35242 

Forysiak, W. (with Moloney, J. V.; Harrison, R.G.) Bifurcations of an optically pumped 
three-level laser model. 92h:78019 

(Fronzoni, Leone) see Dynamical symmetries and chaotic behaviour in physical systems, 
92c:58025 

Gacs, Péter A Toom rule that increases the thickness of sets. 92f:58091 

Gade, P. M. see Amritkar, R. E., 92k:58148 

(Gallavotti, Giovanni) see Nonlinear evolution and chaotic phenomena, 92£:58003 

Gallimbeni, R. (with Sertorio, Luigi; Miari, M.) A thermodynamic active system in regular 
and chaotic motion. (see 92f:58003) 

Gaponov-Grekhov, A. V. see Aranson, I. S.; et al., (92¢:58001) 

(Garfinkel, Alan) see Abraham, Frederick David 

Ge, Yuzhen Scaling properties of the measure of constant topological entropy. 92c:58062 

Gedeon, Toma Stable and nonstable nonchaotic maps of the interval. 92k:58074 

Geisel, T. A generic mechanism of 1 / f-noise in conservative chaotic systems. 92c:70027 

Georgescu, Adelina (with Vamos, C.; Suciu, Nicolae) Turbulence scenarios in the 
framework of deterministic chaos. (Romanian) 

Gilbert, A. D. Global dynamics of a planar mapping exhibiting orbits of periods 1,2, 3 and 
no chaos. 92b:58183 

(Gill-Hoffstadt, Sophia) see Lauwerier, Hans, 92f:00004 

Giona, Massimiliano D-integrals and extended ergodic theorem for fractal attractors. 
92b:58126 

— Dynamics and relaxation properties of complex systems with memory. 92h:58108 

Glass, Leon see Lewis, John E., 92h:92002 

Glimm, James Nonlinear and stochastic phenomena: the grand challenge for partial 
differential equations. 92i:35081 

Glover, J. N. Detecting folds in chaotic processes by mapping the convex hull. (see 
92£:92004) 

Godefroy, Gilles (with Shapiro, Joel H.) Operators with dense, invariant, cyclic vector 
manifolds. 924:47029 

Goldberg, Joel Hart (with Smilansky, U.; Berry, Michael Victor; Schweizer, W.; Wunner, G.; 
Zeller, G.) The parametric number variance. 92a:81039 

Gonchar, V. Yu. see Bolotin, Yu. L.; et al., 92b:81231 

Géra, Pawel (with Boyarsky, Abraham; Proppe, H.) On the number of invariant measures 
for higher-dimensional chaotic transformations. 92b:58127 

Goren, Gilad see Eckmann, Jean-Pierre; et al., 92d:58196 

Gorshkov, K. A. see Aranson, I. S.; et al., (92c:58001) 

Gouesbet, G. Reconstruction of the vector fields of continuous dynamical systems from 
numerical scalar time series. 92e:65117 

Graham, Robert see Dittrich, Thomas, 92b:81042 

Grantham, Walter J. (with Athalye, Amit M.) A chaotic system: discretization and control. 
(see 92£:92004) 

— see also Judd, Kevin, (92f:92004) 

Greenspan, Bernard see Androulakakis, Stavros P.; et al., 92i:58106 

Grines, V. Z. see Anosov, D. V.; et al., 92k:58197 

Guo, Rui Hai see Yuan, Xiao Feng; et al., 92m:76074 





58F13 


Gupte, Neelima (with Amritkar, R. E.) Exponential dimension: thermodynamic formalism 
and inversion. 924:82036 

Guyonnet, Régis see Aubry, Nadine; et al., 92h:58181 

Haake, Fritz * Quantum signatures of chaos. 92k:81041 

(Haken, H. P. J.) see Haake, Fritz, 92k:81041 

Hao, Bai Lin (with Ding, Ming Zhou) Elementary symbolic dynamics in the study of chaos. 
92b:58061 

Harrison, R. G. see Forysiak, W.; et al., 92h:78019 

Hartley, Tom T. see Androulakakis, Stavros P.; et al., 92i:58106 

Heagy, J. (with Ditto, W. L.) Dynamics of a two-frequency parametrically driven Duffing 
oscillator. 92j:34073 

Healey, J.J. (with Broomhead, D. S.; Cliffe, K. A.; Jones, Robin; Mullin, T.) The origins of 
chaos in a modified van der Pol oscillator. 92a:34033 

Heller, Eric J. (with Tomsovic, Steven; Sepilveda, Miguel A.) Time domain approach to 
semiclassical dynamics: breaking the log time barrier. 92m:81050 

— see also Tomsovic, Steven, 924:81034 

(Heng, Heiner) see Martienssen, Werner, 92j:00029 

(Henry, B.1.) see Nonlinear dynamics and chaos, 92k:58003 

Herbst, B. M. (with Ablowitz, Mark J.) On numerical chaos in the nonlinear Schrédinger 
equation. 92c:58139 

— see also Ablowitz, Mark J., 924:35265 

Hernando, J. A. see Stolovitzky, G., 92a:58119 

Higuchi, Ken (with Dowell, Earl H.) Effect of constant transverse force on chaotic 
oscillations of sinusoidally excited buckled beam. 92a:73032 

Hofmann Frisch, Lise-Lotte see Olsen, Lars F.; et al., (92m:58093) 

Holden, Arun V. Structural, functional and dynamical hierarchies in neural networks. (see 
92m:58093) 

Holm, Darryl D. (with Kovatié, Gregor) Homoclinic chaos for ray optics in a fiber: 200 
years after Lagrange. 92b:78002 

— (with Kovatit, Gregor) Homoclinic chaos for ray optics in a fiber. 92h:78002 

— see also Aceves, Alejandro; et al., 92i:78022 and David, Daniel; et ai., 92j:58098 

Hommes, Carsien Harm * Chaotic dynamics in economic models. 92k:90023 

— Adaptive learning and roads to chaos: the case of the cobweb. 92e:90016 

Honda, Katsuya (with Sato, Shinichi'; Kodama, Hiroya) Analytical approach to critical 
phenomena for dynamical properties of type-I intermittent chaos. 92b:82093 

Horwitz, L. P. see Schieve, William C., 92c:70028 

Hsieh, David A. see Brock, William A.; et al., 92h:90031 

Hau, Bambi see Shi, Jicong, 92d:58181 

Hudson, John L. Four variable chemical chaos: models and electrochemical experiments. 
(see 92m:58093) 

Hutchinson, John E. Generating fractals. 92e:28002 

Iliner, Reinhard see Evans, Nolan W.; et al., 92m:92026 

Indik, R. see Broomhead, D. S.; et al., 92b:58136 

Infeld, E. (with Rowlands, George) * Nonlinear waves, solitons and chaos. 92¢:76001 

Ingraham, R. L. * A survey of nonlinear dynamics (“chaos theory”). 92m:58031 

Invernizzi, Sergio (with Medio, Alfredo) On lags and chaos in economic dynamic models. 
92k:90024 

Isola, Stefano (with Politi, Antonio) Universal encoding for unimodal maps. 92d:58058 

Jones, Robin see Healey, J. J.; et al., 92a:34033 

Judd, Kevin Chaos in complex systems. (see 92£:92004) 

— (with Mees, Alistair I.; Aihara, Kazuyuki; Toyoda, M.) Grid imaging for a two- 
dimensional map. 92a:58130 

Jung, Christof (with Scholz, H.-J.) Cantor set structures in classical potential scattering. 
92g:70003 

Jirgens, Hartmut (with Peitgen, Heinz-Otto; Saupe, Dietmar) * The beauty of fractals lab. 
92d:00003 

— see also Peitgen, Heinz-Otto; et al., 92k:00023 

Kadtke, James B. see Theiler, James; et al., 92d:58124 

Kahlert, Claus Heteroclinic orbits and scaled similar structures in the parameter space of 
the Chua oscillator. (see 92m:58093) 

Kapitaniak, Tomasz The loss of chaos in a quasiperiodically-forced nonlinear oscillator. 
92h:70021 

— see also Brindley, J.; et al., 92h:58171 and El Naschie, M. S., 92m:73105 

Kapral, Raymond see Puri, Sanjay; et al., 92d:58193 and 92m:82076 

Kashchenko, S. A. see Bokolishvili, I. B.; et al., (92i:65009) 

Kawabe, Takeshi (with Kondo, Yoshiro) Fractal transformation of the one-dimensional 
chaos produced by logarithmic map. 924:39005 

Kawabe, Tetsuji (with Ohta, Shonosuke) Order-to-chaos transition in SU(2) Yang-Mills- 
Higgs theory. 

Kawahara, Takuji see Kishiba, Seigo; et al., 92j:58097 

Keating, Jonathan Peter (with Mondragon, R. J.) Quantum chaology of energy levels; notes 
based on lectures by Michael Berry. (see 92£:58003) 

— Asymptotic properties of the periodic orbits of the cat maps. 92m:58108 

— The cat maps: quantum mechanics and classical motion. 92m:81055 

— see also Berry, Michael Victor, 92m:81053 

Ketema, Yohannes An oscillator with cubic and piecewise-linear springs. 92f:70021 

Khanin, K. M. (with Vul, E. B.) Circle homeomorphisms with weak discontinuities. 
925:58089 

Kikuchi, Yasuhiro see Aizawa, Yoji, 92c:58059 

Kim, Seung-hwan see Choie, Y. J.; et al., 92i:92004 

Kirchheim, Bernd A chaotic function with zero topological entropy having a nonperfect 
attractor. 92a:58089 

Kishiba, Seigo (with Toh, Sadayoshi; Kawahara, Takuji) An estimation of energy spectra of 
the Ginzburg-Landau chaos. 92j:58097 

Kleczka, M. (with Kreuzer, E.; Wilmers, C.) Crises in mechanical systems. 92a:70018 

Kliemt, Jens see Puppe, Eckehard, 92m:00017 

Klimontovich, Yu. L. * Typ6ynenTHoe 7puxeHHe H CTpyKTypa xaoca. (Russian) [Turbulent 
motion and the structure of chaos] 92j:82039a 

— * Turbulent motion and the structure of chaos. 92j:82039b 

Koch, B. P. see Bruhn, B., 92c:70026 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Kodama, Hiroya see Honda, Katsuya; et al., 92b:82093 

Kondo, Yoshiro see Kawabe, Takeshi, 924:39005 

Kook, H. (with Ling, Fu Hua; Schmidt, George) Universal behavior of coupled nonlinear 
systems. 92e:58111 

Kopylov, V. N. (with Yanchenko, S. S.) Investigation of the period-doubling bifurcation 
cascade occurring during the development of hydrodynamic instability in 
bismuth. (see 92c:58001) 

Kovatit, Gregor see Holm, Darryl D., 92b:78002; 92h:78002 and Aceves, Alejandro; et al., 
92i:78022 

Kreisberg, Nathan see Swinney, Harry L.; et al., (92c:58001) 

Kreuzer, E. see Kleczka, M.; et al., 92a:70018 

(Kriiger, Uwe) see Martienssen, Werner, 92j:00029 

Kruskal, Martin D. see Daniel, Muthiah; et al., 92m:82090 

Kurchan, Jorge see Lebeeuf, P.; et al., 92m:81056 

Kusnezov, Dimitri (with Bulgac, Aurel; Bauer, Wolfgang) Canonical ensembles from chaos. 
92a:82079 

Kwan, Hon C. see Evans, Nolan W.; et al., 92m:92026 

Laedke, E. W. see Spatschek, K. H.; et al., (92d:58004) 

Lakshmanan, M. see Murali, K., 92d:58153; Daniel, Muthiah; et al., 92m:82090 and 
Rajasekar, S. 

Landa, P.S. Stochastic and chaotic self-induced oscillations in dynamical systems. 
(Russian) 92¢:34043 

Lanford, Oscar E., III Renormalization group methods for circle mappings. (see 92f:58003) 

Lauwerier, Hans * Fractals. 92f:00004 

LeBaron, Blake see Brock, William A.; et al., 92h:90031 

Lebeeuf, P. (with Kurchan, Jorge; Feingold, Mario; Arovas, D. P.) Topological aspects of 
quantum chaos. 92m:81056 

Lee, Chung-Nim see Choie, Y. J.; et al., 92i:92004 

Lengyel, Istvan (with Epstein, Irving R.) Diffusion-induced instability in chemically 
reacting systems: steady-state multiplicity, oscillation, and chaos. 92h:80016 

Lewis, John E. (with Glass, Leon) Steady states, limit cycles, and chaos in models of 
complex biological networks. 92h:92002 

Li, Jia Chun Turbulent coherent structure and dynamic system. (Chinese. English 
summary) 92a:76051 

Lidsey, James E. Towards a solution of the Q-problem in power law and chaotic inflation. 
924:83074 

Lima, Ricardo see Aubry, Nadine; et al., 92h:58181 

Ling, Fu Hua see Kook, H.; et al., 92e:58111 

Littlejohn, Robert G. see Feingold, Mario; et al., 92a:81038 

Liu, Yong A nonlinear diffusion system on the discrete space-time lattice as a simple model 
for migration processes. 

Lou, Jack Y. K. see Choi, Han S., 92j:70025 

Li, Yan Nan see Ding, E Jiang, 92i:58089 

(Lundqvist, S.O.) see Order and chaos in nonlinear physical systems, 92i:58001 

Lupini, R. (with Siboni, S.) Chaotic motions of inviscid point vortices around rigid 
obstacles. 92j:76014 

Lyubimov, D. V. (with Pikovskii, A. S.; Zaks, M. A.) * Universal scenarios of transitions to 
chaos via homoclinic bifurcations. 92j:58074 

MacKay, R.S. Transition of the phase-resetting map for kicked oscillators. 92g:58107 

(Maino, Giuseppe) see Dynamical symmetries and chaotic behaviour in physical systems, 
92c:58025 

Makino, Nobuyoshi (with Sasaki, Misao) The density perturbation in the chaotic inflation 
with nonminimal coupling. 92h:83077 

Malinetskii, G.G. (with Potapov, A. B.; Priimak, V.G.) On the possibility of describing 
turbulent flows of a viscous fluid by an attractor of finite dimension. (Russian) 92k:76047 

— (with Shakaeva, M.S.) On the study of a cellular automaton that models oscillating 
chemical reactions. (Russian) 

— see also Bokolishvili, I. B.; et al., (92i:65009) 

(Mandelbrot, Benoit B.) see Peitgen, Heinz-Otto; et al., 92k:00023 

Mantica, Giorgio see Bessis, Daniel, 92c:58060 and Ford, Joseph; et al., 92k:81040 

(March, Norman H.) see Order and chaos in nonlinear physical systems, 92i:58001 

Marteau, P. F. (with Abarbanel, Henry D.1I.) Noise reduction in chaotic time series using 
scaled probabilistic methods. 92h:58182 

Martienssen, Werner Deterministisches Chaos—Gesetz und Zufall in der Natur. [Deter- 
ministic chaos—law and chance in nature] 92j:00029 

Mashkevich, V.S. Indeterministic quantum theory (a survey). (Russian. English and 
Ukrainian summaries) 92h:81016 

Matkowsky, Bernard J. see Bayliss, Alvin, 92c:80017 

Matthies, C. (with Steiner, F.) Selberg’s ¢ function and the quantization of chaos. 
92k:81042 

Mayer-Kress, Gottfried see Theiler, James; et al., 924:58124 

McCormick, W. D. see Swinney, Harry L.; et al., (92c:58001) 

McLaughlin, David W. see Ercolani, Nicholas M.; et al., 92k:35242 

Medio, Alfredo see Invernizzi, Sergio, 92k:90024 

Mees, Alistair I. see Judd, Kevin; et al., 92a:58130 

Meisel, L. V. Generalized Mandelbrot rule for fractal sections. 92m:28014 

Melvin, Paul M. (with Tufillaro, N. B.) Templates and framed braids. 92m:57013 

Miari, M. see Gallimbeni, R.; et al., (92f:58003) 

Mielke, Alexander Topological methods for discrete dynamical systems. 92h:58104 

Millonas, Mark M. (with Reichl, Linda E.) Stochastic chaos in a class of Fokker-Planck 
equations. 92m:82100 

Misiurewicz, Michal Persistent rotation intervals for old maps. 92c:58065 

Moloney, J. V. see Forysiak, W.; et al., 92h:78019 

Mondragon, R. J. see Keating, Jonathan Peter, (92f:58003) 

Monin, A.S. On the definition of coherent structures. (Russian) 92i:76052 

Moon, Hie Tae Soliton turbulence and strange attractor. 92j:76052 

Moser, Robert D. see Vastano, John A., 92j:76053 

Mullin, T. see Healey, J. J.; et al., 92a:34033 

Murali, K. (with Lakshmanan, M.) Bifurcation and chaos of the sinusoidally-driven Chua’s 
circuit. 924:58153 





sa J 





1011 1992 


Nadim, Ali see Stone, Howard A.; et al., 92h:76034 

Nakamura, Katsuhiro see Daniel, Muthiah; et al., 92m:82090 

(Nazaikinskii, V.E.) see Khanin, K. M., 92j:58089 

Neishtadt, A.I. Averaging, capture into resonances, and chaos in nonlinear systems. 
92d:58180 

— Probability phenomena due to separatrix crossing. 92i:58161 

Newberger, P. A. see Allen, J. S.; et al., 92e:76025 

Newell, Alan C. see Broomhead, D. S.; et al., 92b:58136 

Nicolaenko, B. (with She, Zhen Su) Symmetry-breaking homoclinic chaos and vorticity 
bursts in periodic Navier-Stokes flows. 92e:76033 

Nijhoff, Frank see Quispel, G. R. W., 92m:81057 

Niu, Wen Zhang see Chen, Zhi Rong; et al. 

Nocilla, Silvio Instabilities and irregular behaviour of nonlinear systems with applicative 
interest. (see 92b:58003) 

Noszticzius, Zoltan see Swinney, Harry L.; et al., (92c:58001) 

Nusse, Helena E. (with Yorke, James A.) Analysis of a procedure for finding numerical 
trajectories close to chaotic saddle hyperbolic sets. 92e:58154 

O’Connor, Patrick W. (with Tomsovic, Steven) The unusual nature of the quantum baker’s 
transformation. 924:81033 

Ohta, Shonosuke see Kawabe, Tetsuji 

Olsen, Lars F. (with Hofmann Frisch, Lise-Lotte; Schaffer, William M.) The peroxidase- 
oxidase reaction: a case for chaos in the biochemistry of the cell. (see 92m:58093) 

Ornstein, Donald S. (with Weiss, Benjamin) Statistical properties of chaotic systems. 
92g:58112 

Ostrovskii, L. A. (with Soustova, I. A.) Phase-locking effects in a system of nonlinear 
oscillators. 92i:34047 

Owase, Tatsuji Dynamical system theory and analysis of economic fluctuations. 92e:90017 

Ozorio de Almeida, A. M. (with Saraceno, M.) Periodic orbit theory for the quantized 
baker’s map. 92e:81051 

Palus, Milan (with Dvotak, Ivan) Singular-value decomposition in attractor reconstruction: 
pitfalls and precautions. 92m:58078 

(Parmet, Marc) see Jirgens, Hartmut; et al., 924:00003 

Patzschke, N. (with Zahle, U.) Self-similar random measures. IV. The recursive construc- 
tion model of Falconer, Graf, and Mauldin and Williams. 92j:28007 

Pecora, Louis M. (with Carroll, Thomas L.) Pseudoperiodic driving: eliminating multiple 
domains of attraction using chaos. 92d:58122 

Pehling, J.S. see Feingold, Mario; et al., 92a:81038 

Peitgen, Heinz-Otto (with Jiirgens, Hartmut; Saupe, Dietmar) * Fractals for the classroom. 
Part 1. 92k:00023 

— see also Jirgens, Hartmut; et al., 92d:00003 

Petrick, M. H. see Wigdorowitz, B., 92¢:00009 

Pettini, Marco Low-dimensional Hamiltonian models for noncollisional diffusion of 
charged particles. (see 92b:58003) 

— see also Dynamical symmetries and chaotic behaviour in physical systems, 92c:58025 

Peyrard, Michel see Campbell, David K., 92h:35197 

Pielke, R. A. see Zeng, X.; et al., 92k:58147 

Pietsch, H. see Spatschek, K. H.; et al., (92d:58004) 

Pikovskii, A.S. see Lyubimov, D. V.; et al., 92j:58074 and Benvenuto, Francesco; et al. 

Piérek, Jézef On weakly mixing and generic chaos. 92m:54073 

Piro, Oreste see Feingold, Mario; et al., 92a:81038 

Politi, Antonio see Isola, Stefano, 92d:58058 

Pollicott, Mark A note on the Artuso-Aurell-Cvitanovic approach to the Feigenbaum 
tangent operator. 92d:58166 

Potapov, A. B. see Malinetskii, G. G.; et al., 92k:76047 and Bokolishvili, I. B.; et al., 
(92i:65009) 

Priimak, V.G. see Malinetskii, G. G.; et al., 92k:76047 

Procaccia, Itamar see Eckmann, Jean-Pierre, 92b:76053 and 924:58196 

Proppe, H. see Géra, Pawel; et al., 92b:58127 

Przytycki, Feliks Chaos after bifurcation of a Morse-Smale diffeomorphism through a one- 
cycle saddle-node and iterations of multivalued mappings of an interval and a circle. 
92b:58117 

Puppe, Eckehard (with Kliemt, Jens) Deterministisches Chaos und Weltbilder. [Determin- 
istic chaos and images of the world] 92m:00017 

Puri, Sanjay (with Kapral, Raymond; Desai, Rashmi C.) Conserved order parameter 
dynamics and chaos in one-dimensional discrete model. 92m:82076 

— (with Desai, Rashmi C.; Kapral, Raymond) Coupled map model with a conserved order 
parameter. 92d:58193 

Qammar, Helen see Stavros P.; et al., 92i:58106 

Quispel, G. R. W. (with Nijhoff, Frank) Integrable two-dimensional quantum mappings. 
92m:81057 

Rabinovich, M.1I. see Aranson, I. S.; et al., 92a:76011 and (92c:58001) 

Rajasekar, S. (with Lakshmanan, M.) Controlling of chaos in Bonhoeffer-van der Pol 
oscillator. 

Ramirez, Santiago The experience of chaos. (Spanish) 92j:00018 

Rajiada, Antonio F. see Cuerno, R.; et al., 92j:70028 

Rand, D. A. see Broomhead, D. S.; et al., 92b:58136 

Rasetti, Mario G. see Agnes, Corrado, 92h:03066 and 92h:58056 

Rechester, Alexander B. (with White, Roscoe Beryl) Symbolic kinetic equation for a chaotic 
attractor. 92¢:58028 

— (with White, Roscoe Beryl) Symbolic kinetic analysis of two-dimensional maps. 
921:58055 

Rega, G. (with Benedettini, F.; Salvatori, A.) Periodic and chaotic motions of an unsym- 
metrical oscillator in nonlinear structural dynamics. 92f:73035 

Reichl, Linda E. see Millonas, Mark M., 92m:82100 

Reiman, A. M. see Aranson, I. S.; et al., 92m:94003 

Reinhardt, W.-D. see Awrejcewicz, J., 92g:70020 

Richetti, P. see Argoul, F.; et al., 92f:80020 

Ristow, Gerald H. see Ford, Joseph; et al., 92k:81040 

Romanenko, E. Yu. see Vereikina, M. B., 92a:58129 

Rom-Kedar, Vered Transport rates of a class of two-dimensional maps and flows. 92b:58169 





58F Ordinary differential equations on manifolds; dynamical systems 


58F13 


— (with Wiggins, Stephen) Transport in two-dimensional maps: concepts, examples, and a 
comparison of the theory of Rom-Kedar and Wiggins with the Markov model of MacKay, 
Meiss, Ott, and Percival. 92k:58239 

Rowlands, George see Infeld, E., 92c:76001 

Ruelle, David * Chance and chaos. 92j:00025 

— The turbulent fluid as a dynamical system. (see 92f:76006) 

Ruiz-Lorenzo, J.J. see Cuerno, R.; et al., 92j:70028 

Rukhlov, V.S. Bifurcations and chaos in nonlinear NMR. 92):81359 

Rychlik, Marek Ryszard Lorenz attractors through Sil‘nikov-type bifurcation. I. 92f:58103 

Saari, Donald G. Chaos and the theory of elections. (see 92b:00038) 

Sagdeev, R. Z. (with Zaslavskii,G. M.) Dynamical chaos: problems in turbulence. (see 
92:76006) 

Salvatori, A. see Rega, G.; et al., 92f:73035 

Samelson, R. M. see Allen, J. S.; et al., 92e:76025 

Saraceno, M. see Ozorio de Almeida, A. M., 92e:81051 

Sasaki, Misao see Makino, Nobuyoshi, 92h:83077 

Sato, Shinichi! see Honda, Katsuya; et al., 92b:82093 

Saupe, Dietmar see Jiirgens, Hartmut; et al., 92d:00003 and Peitgen, Heinz-Otto; et al., 
92k:00023 

Schaffer, William M. see Olsen, Lars F.; et al., (92m:58093) 

Scheurle, Jiirgen Splitting of separatrices and chaos. 92b:58124 

Schieve, William C. (with Horwitz, L. P.) Chaos in the classical relativistic mechanics of a 
damped Duffing-like driven system. 92c:70028 

Schmidt, George see Kook, H.; et al., 92e:58111 

Schmidt, Ginter (with Dum, R.) Parametrically excited nonlinear vibrations, onset of 
chaos. (German and Russian summaries) 92a:34035 

Scholz, H.-J. see Jung, Christof, 92g:70003 

Schroeder, Manfred R. * Fractals, chaos, power laws. 92m:00018 

Schweizer, W. see Goldberg, Joel Hart; et al., 92a:81039 

Sepiilveda, Miguel A. see Heller, Eric J.; et al., 92m:81050 

Sertorio, Luigi see Gallimbeni, R.; et al., (92f:58003) 

Sethna, P.R. see Feng, Zaichun, 92b:58158 

Shakaeva, M.S. see Malinetskii, G. G. 

Shapiro, Joel H. see Godefroy, Gilles, 924:47029 

Sharkovskii, A. N. Classification of one-dimensional dynamical systems. 92a:58075 

(Shaw, Christopher D.) see Abraham, Frederick David 

She, Zhen Su see Nicolaenko, B., 92e:76033 

Shekhov, V.G. see Aranson, I. S.; et al., 92m:94003 

Shepelyanskii, D. L. Quantum localization of dynamic chaos. (Russian) (see 92d:00031) 

— see also Benvenuto, Francesco; et al. 

Shi, Jicong (with Hu, Bambi) Crossover phenomena in the multifractal behavior of 
invariant circles. 92d:58181 

Shil‘nikov, L. P. Multidimensional Hamiltonian chaos. 92m:58104 

Siboni, S. see Lupini, R., 92j:76014 

Sieber, M. (with Steiner, F.) Quantization of chaos. 92f:81034 

— Applications of periodic-orbit theory. 92m:81058 

Sinai, Ya. G. Erratum: “Some mathematical problems in the theory of quantum chaos” 
[Phys. A 163 (1990), no. 1, 197-204; MR 91a:81049]. 92¢:81042 

Singer, Jonathan see Wang, Yu Zhou; et al. 

Sirovich, Lawrence Empirical eigenfunctions and low-dimensional systems. (see 92f:76006) 

— see also New perspectives in turbulence, 92f:76006 

Skinner, Gordon see Swinney, Harry L.; et al., (92c:58001) 

Smilansky, U. see Goldberg, Joel Hart; et al., 92a:81039 

Smital, J. see Fedorenko, V. V., 92g:58063 

Solina, Stephani B. see Feingold, Mario; et al., 92a:81038 

Someya, Tsuneo see Awrejcewicz, J., 92k:70024 

Soustova, I. A. see Ostrovskii, L. A., 92i:34047 

Spatschek, K. H. (with Pietsch, H.; Laedke, E. W.; Eickermann, Th.) On the role of soliton 
solutions in temporal chaos: examples for plasmas and related systems. (see 92d:58004) 

Sreenivasan, K. R. Some results concerning the “dynamical systems approach” to the 
“turbulence problem”. (see 92c:58001) 

Stanyukovich, K.P. see Antonyuk, P. N., 92f:39003 

Steiner, F. see Aurich, R., 92c:81040; Sieber, M., 92f:81034 and Matthies, C., 92k:81042 

Stewart, J. M. The stochastic dynamics of chaotic inflation. 924:83076 

Stolovitzky, G. (with Hernando, J. A.) Intermittency, ergodicity, and spectral analysis in 
classical Hamiltonian dynamics. 92a:58119 

Stone, Howard A. (with Nadim, Ali; Strogatz, Steven H.) Chaotic streamlines inside drops 
immersed in steady Stokes flows. 92h:76034 

Streit, L. see Vilela Mendes, Rui; et al., (92d:00033) 

Strogatz, Steven H. see Stone, Howard A.; et al., 92h:76034 and Swift, James W.; et al., 
92m:34085 

Strunin, D. V. Transition to chaos of combustion front oscillations of condensed systems in 
the presence of melting. (Russian) 92c:80022 

Suciu, Nicolae see Georgescu, Adelina; et al. 

Sundaram, Sekhar E. R. B. see Brown, Michael G.; et al., 92b:76007 

Sung, Nak So see Bae, Jong Sook, 92a:58108 

Swift, James W. (with Barany, E.) Chaos in the Hopf bifurcation with tetrahedral 
symmetry: convection in a rotating fluid with low Prandtl number. 92f:76043 

— (with Strogatz, Steven H.; Wiesenfeld, Kurt) Averaging of globally coupled oscillators. 
92m:34085 

Swinney, Harry L. Instabilities and chaos in rotating fluids. (see 92f:58003) 

— (with Kreisberg, Nathan; McCormick, W. D.; Noszticzius, Zoltan; Skinner, Gordon) 
Spatiotemporal patterns in reaction-diffusion systems. (see 92c:58001) 

Szemplitiska-Stupnicka, W. The approximate criteria for chaos in multi-well potential 
vibrating systems. 92b:70032 

— A discussion on necessary and sufficient conditions for steady state chaos. 

Szydiowski, Marek (with Biesiada, Marek) Chaos in mixmaster models. 92h:83024 

Tangerman, F.M. see Veerman, J. J. P., 92k:58205 

Tappert, Frederick D. see Brown, Michael G.; et al., 92b:76007 

Tarnopolska-Weiss, Marysia An early introduction to dynamics. 92h:26005 











58F13 


(Teo, Kok Lay) see Grantham, Walter J., (92f:92004) 

Terman, David Chaotic spikes arising from a model of bursting in excitable membranes. 
92h:92004 

Theiler, James (with Mayer-Kress, Gottfried; Kadtke, James B.) Chaotic attractors of a 
locally conservative hyperbolic map with overlap. 92d:58124 

Tirozzi, Brunello (with Tsodyks, M.) Chaos in highly diluted neural networks. 92m:92004 

Toh, Sadayoshi see Kishiba, Seigo; et al., 92j:58097 

Tomsovic, Steven (with Heller, Eric J.) Semiclassical dynamics of chaotic motion: 
unexpected long-time accuracy. 924:81034 

— see also O’Connor, Patrick W., 92d:81033 and Heller, Eric J.; et al., 92m:81050 

Tong, Howell (with Cheng, Bing) A note on one-dimensional chaotic maps under time 
reversal. 

Toro, M. see Aracil, J., 92d:92033 

(Tosi, Mario P.) see Order and chaos in nonlinear physical systems, 92i:58001 

Toyoda, M. see Judd, Kevin; et al., 92a:58130 

Tratnik, M. V. see David, Daniel; et al., 92j:58098 

Trombetta, Maurizio On the convergence of iterates defined via pairs of continuous 
functions. (Italian. English summary) 92k:54057 

Tsai, Wu-Ting (with Yue, Dick K. P.; Yip, Kenneth Man-Kam) Chaotic wave motions due 
to the interaction between forced and parametric resonances. (see 92m:76004) 

Tsimring, L. Sh. see Aranson, I. S.; et al., 92a:76011 

Tsinganos, Kanaris From exact solutions in MHD to chaos. 92a:76091 

Tsodyks, M. see Tirozzi, Brunello, 92m:92004 

Tufillaro, N. B. see Melvin, Paul M., 92m:57013 

Turchetti, Giorgio Linear Cantorian approximations. 92e:58129 

Uezu, Tatsuya Topological structure in flow systems. 92f:58124 

Umarov, B. A. see Abdullaev, F. Kh.; et al., 92j:35158 

Vaienti, S. Dimensions of the attractors from thermodynamic indices. 92e:58130 

Vamos, C. see Georgescu, Adelina; et al. 

Varin, V. P. see Afendikov, A. L., 92d:76028 and 92f:76059 

Vastano, Jehn A. (with Moser, Robert D.) Short-time Lyapunov exponent analysis and the 
transition to chaos in Taylor-Couette flow. 92j:76053 

Veerman, J. J.P. Strange attractors in dissipative maps with one angular variable. 
92b:58138 

— (with Tangerman, F. M.) Intersection properties of invariant manifolds in certain twist 
maps. 92k:58205 

Vereikina, M. B. Visualization of the development of space-time chaos in hyperbolic 
systems. (Russian) 92c:58140 

— (with Romanenko, E. Yu.) Modeling of space-time chaos. (Russian. English summary) 
92a:58129 

Verhagen, Jeff see Carroll, John M.; et al. 

Vilela Mendes, Rui (with de Faria, Margarida; Streit, L.) Map dynamics in gearbox models. 
(see 92d:00033) 

Vincent, Thomas L. (with Yu, Jian Zu) Control of a chaotic system. 92k:93075 

— see also Glover, J. N., (92f:92004) 

Vinitskii, S. I. see Bolotin, Yu. L.; et al., 92b:81231 

Vittori, Giovanna see Blondeaux, Paolo, 92k:76044 

Val, E. B. see Khanin, K. M., 92j:58089 

Vulpiani, Angelo (with Falcioni, Massimo) Motion of particles in a two-dimensional fluid. 
92c:76037 

Wang, Xiao-Jing The Newhouse set has a positive Hausdorff dimension. 92a:58091 

Wang, Xin Period-doublings to chaos in a simple neural network: an analytical proof. 
92k:92005 

Wang, Yu Zhou (with Singer, Jonathan; Bau, Haim H.) Controlling chaos in a thermal 
convection loop. 

Weiss, Benjamin see Ornstein, Donald S., 92g:58112 

West, Bruce J. * Fractal physiology and chaos in medicine. 92d:92019 

White, Roscoe Beryl see Rechester, Alexander B., 92c:58028 and 92£:58055 

Wiesenfeld, Kurt see Swift, James W.; et al., 92m:34085 

Wigdorowitz, B. (with Petrick, M. H.) Modelling concepts arising from an investigation into 
a chaotic system. 92¢:00009 

Wiggins, Stephen * Introduction to applied nonlinear dynamical systems and chaos. 
92a:58041 

— see also Camassa, R., 92e:76021 and Rom-Kedar, Vered, 92k:58239 

Williams, R. F. Geometric theory of dynamical systems. (see 92m:58036) 

Wilmers, C. see Kleczka, M.; et al., 92a:70018 

Wisdom, Jack Two lectures on chaotic dynamics in the solar system. (see 92f:58003) 

Wong, Perry T. see Carroll, John M.; et al. 

Wreszinski, W.F. see Carneiro, C. E. I., 92e:82062 

Wunner, G. see Goldberg, Joel Hart; et al., 92a:81039 

Xu, Da Guang (with Feng, Qi Yuan) Lorenz-type chaos in instability saturation by 
nonlinear three-wave mode coupling. 92c:82108 

Yagasaki, K. Chaos in a weakly nonlinear oscillator with parametric and external reso- 
nances. 92a:70019 

Yakobson, M. V. Stochastic behavior above Feigenbaum’s parameter value. 924:58113 

Yamada, Tomoji Spatiotemporal chaotic behavior induced by the multiplicative noise 
process. 92j:82049 

Yanchenko, S.S. see Kopylov, V. N., (92c:58001) 

Yavorskaya, I. M. see Belyaev, Yu. N., 92i:76002 

Yip, Kenneth Man-Kam see Tsai, Wu-Ting; et al., (92m:76004) 

Yorke, James A. see Nusse, Helena E., 92e:58154 

Yu, Jian Zu see Vincent, Thomas L., 92k:93075 

Yuan, Xiao Feng (with Guo, Rui Hai) Coexistence of the chaos and the periodic solutions 
in planar fluid flows. (Chinese. English summary) 92m:76074 

Yue, Dick K. P. see Tsai, Wu-Ting; et al., (92m:76004) 

Zahle, U. see Patzschke, N., 92j:28007 

Zaks, M. A. see Lyubimov, D. V.; et al., 92j:58074 

Zaslavskii, G. M. Dynamical theory and mixing. (see 92:76003) 

— see also Chaikovsky, D. K., 92i:58157 and Sagdeev, R. Z., (92f:76006) 

Zeller, G. see Goldberg, Joel Hart; et al., 92a:81039 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 1012 


Zeng, X. (with Pielke, R. A.; Eykholt, R.) Extracting Lyapunov exponents from short time 
series of low precision. 92k:58147 

Zeytounian, R. Kh. An essay on the transition to turbulence. (Russian and Polish sum- 
maries) 92c¢:76038 

— see also Errafiy, M., 92i:76040 

Zhao, Lian Qing see Chen, Zhi Rong; et al. 

Zheng, Zhi Ming Qualitative analysis of van der Pol type equation with periodic forcing 
term. 924:34079 

Zhou, Zuo Ling Some equivalent conditions for self-mappings of a circle. (Chinese) 
92g:58075 

Zienicke, E. see Eckelt, P., 92b:70031 

(Zweifel, Paul F.) see Nonlinear evolution and chaotic phenomena, 92f:58003 


Items listed otherwise than by author 


Bologna * Dynamical symmetries and chaotic behaviour in physical systems. 92c:58025 
Canberra * Nonlinear dynamics and chaos. 92k:58003 
Chaos/Xaoc * Chaos/Xaoc. 92c:58001 
Conference: 
Chaos * Chaos/Xaoc. 92c:58001 
Dynamical symmetries and chaotic behaviour in physical systems * Dynamical symmetries 
and chaotic behaviour in physical systems. 92c:58025 
Fractal geometry and analysis * Fractal geometry and analysis. 92£:58002 
Meeting: 
New Perspectives in Turbulence * New perspectives in turbulence. 92f:76006 
Montreal, PQ * Fractal geometry and analysis. 92f:58002 
NATO Advanced Study Institute: 
Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 
Nonlinear Evolution and Chaotic Phenomena * Nonlinear evolution and chaotic 
phenomena. 92f:58003 
New perspectives in turbulence * New perspectives in turbulence. 92f:76006 
Newport, RI * New perspectives in turbulence. 92:76006 
Nonlinear dynamics and chaos * Nonlinear dynamics and chaos. 92k:58003 
Nonlinear evolution and chaotic phenomena * Nonlinear evolution and chaotic phenomena. 
92£:58003 
Noto * Nonlinear evolution and chaotic phenomena. 92f:58003 
Order and chaos in nonlinear physical systems * Order and chaos in nonlinear physical 
systems. 92i:58001 
School: 
Nonlinear Dynamics and Chaos * Nonlinear dynamics and chaos. 92k:58003 
Seminar: 
Fractal Geometry and Analysis * Fractal geometry and analysis. 92f:58002 
Woods Hole, MA * Chaos/Xaoc. 92c:58001 
Workshop: 
Mathematical Physics and Nonlinear Dynamics * Dynamical symmetries and chaotic 
behaviour in physical systems. 92c:58025 


58F14 Bifurcation theory and singularities 


Alekseev, V. V. (with Kharrasov, M. Kh.) Sequences of period-doubling bifurcations in 
Rossler-type models. (Russian. English summary) 92h:58138 

Alvares-Ribeiro, Resério Periodic solutions and global bifurcations of the FitzHugh 
equations for the nerve impulse. (Portuguese) (see 92g:00024) 

Armbruster, Dieter (with Chossat, Pascal) Heteroclinic orbits in a spherically invariant 
system. 92g:58092 

Ashwin, Peter (with King, G. P.; Swift, James W.) Three identical oscillators with 
symmetric coupling. 92d:58144 

Aston, P. J. see Spence, A.; et al., (92d:65009) 

Baesens, Claude Slow sweep through a period-doubling cascade: delayed bifurcations and 
renormalisation. 92m:58094 

Beloqui, J. (with Pacifico, M. J.) Quasi-transversal saddle-node bifurcation on surfaces. 
92a:58104 

Bernfeld, S. R. (with Salvadori, L.; Visentin, F.) Existence of bifurcating periodic solutions 
of planar periodic systems at resonance. (Italian summary) 92b:58151 

— Existence and stability of bifurcating tori in a neighborhood of an equilibrium position. 
92e:58140 

Bibikov, Yu. N. Bifurcation of a stable invariant torus from the equilibrium state. (Russian) 
92b:58152 

Billeke G., J. (with Caiias, Moisés; Saez, Eduardo; Szanto, Ivan) Linear bifurcations in S? 
of a 2-cusp. 92f:58117 

Biragov, V.S. (with Shil'nikov, L. P.) On the bifurcation of the saddle-focus loop in a three- 
dimensional conservative dynamical system. (Russian) 92d:58146 

Bogdanov, R. I. Symplectic orbital equivaleace of vector fields on the plane (elementary 
singular points). (Russian) 92b:58153 

Bosch i Casabd, Marianna see Carcasses, J. P.; et al., 92b:58154 and Mira, Christian; et al., 
92g:58098 

Bravo Castillero, Julidn Bifurcations of the equilibrium states of a dynamical system. 
(Spanish. English summary) 92m:58095 

Broer, H. W. Quasi-periodic bifurcations, applications. 92f:58118 

— (with Vegter, Gert) Bifurcational aspects of parametric resonance. 92m:58096 

Brown, Ray (with Chua, Leon O.) Generalizing the twist-and-flip paradigm. 92k:58187 

Bryuno, A. D. Bifurcations of periodic solutions in the symmetric case of a multiple pair of 
imaginary eigenvalues. (Russian. English summary) 92¢:58141 

Campbell, Sue Ann (with Holmes, Philip) Bifurcation from O(2) symmetric heteroclinic 
cycles with three interacting modes. 92i:58132 

Caiias, Moisés see Billeke G., J.; et al., 92f:58117 

Candelpergher, Bernard (with Diener, Francine; Diener, Marc) Retard 4 la bifurcation: du 
local au global. [Delay to bifurcation: from local to global] 92k:58188 

Capel, H. W. see Post, T.; et al., 92b:58162 

Carcasses, J. P. (with Mira, Christian; Bosch i Casabd, Marianna; Sim6, Carles; Tatjer, 
J.C.) “Crossroad area-spring area” transition. I. Parameter plane representation. 





1013 


92b:58154 

— see also Mira, Christian; et al., 92g:58098 

Casal, Alfonso C. see Talibi, H., 924:58154 

Castro, Liliana see Moiola, Jorge; et al., 92¢:58095 

Cendra, Hernan see Moiola, Jorge; et al., 92c:58095 

Chenciner, A. Resonant elimination of a couple of invariant closed curves in the neighbor- 
hood of a degenerate Hopf bifurcation of diffeomorphisms of R?. 92f:58119 

Cheng, Chong Qing Bifurcations of vector fields with Z, symmetry. (see 92m:58003) 

Chicone, Carmen (with Jacobs, Marc) On a computer algebra aided proof in bifurcation 
theory. 92e:58142 

— (with Jacobs, Marc) Bifurcation of limit cycles from quadratic isochrones. 92e:58143 

Chossat, Pascal see Armbruster, Dieter, 92g:58092 

Chow, Shui-Nee (with Deng, Bo; Terman, David) The bifurcation of homoclinic orbits 
from two heteroclinic orbits—a topological approach. 92g:58093 

Chua, Leon O. see Komuro, Motomassa; et al., 92j:58073; Brown, Ray, 92k:58187 and 
Komuro, Motomasa; et al. 

Cicogna, G. Breaking symmetries in nonlinear dynamic problems. 92c¢:58092 

— A nonlinear version of the equivalent bifurcation lemma. 92a:58105 

Clerc, René-Louis (with Hartmann, Christian; Razafimandimby, Boniface) Structures in 
conservative or dissipative dynamical systems. 92g:58094 

— (with Hartmann, Christian; Razafimandimby, Boniface) Propriétés analytiques de 
champs de vecteurs équivariants de R?. (English summary) [Analytic properties for R?- 
equivariant vector fields] 92a:58106 

Contopoulos, G. (with Zachilas, L.) Complex instability in 3-D systems. 92e:58144 

Crawford, John David (with Knobloch, Edgar; Riecke, Hermann) Mode interactions and 
symmetry. 92e:58145 

Dangelmayr, G. (with Geiger, Ch.) Bifurcations in slowly rotating systems with spherical 
geometry. 92d:58147 

— (with Wegelin, M.) On a codimension-four bifurcation occurring in optical bistability. 
92h:58139 

Delshams, Amadeo (with Martinez-Seara, Ma. Teresa) On the existence of homoclinic 
orbits in a family of vector fields near an equilibrium point. 92c:58093 

Deng, Bo The bifurcations of countable connections from a twisted heteroclinic loop. 
92b:58155 

— see also Chow, Shui-Nee; et al., 92g:58093 

Desages, Alfredo C. see Moiola, Jorge; et al., 92c:58095 

Diener, Francine see Candelpergher, Bernard; et al., 92k:58188 

Diener, Marc see Candelpergher, Bernard; et al., 92k:58188 

Dumortier, Freddy (with Roussarie, R.) On the saddle loop bifurcation. 92b:58156 

— Transition functions and moduli of stability for 3-dimensional homogeneous vector fields 
with a hyperbolic blowing-up. 92h:58140 

Edalat, Abbas Equivalence of degenerate Hopf bifurcations. 92g:58095 

Eilbeck, J.C. (with Furter, J. E.) Understanding steady-state bifurcation diagrams for a 
model reaction-diffusion system. 92b:58157 

Elgin, John see Kent, Phillip, 92i:58135 and 92k:58192 

Elphick, Christian (with Meron, Ehud) Dynamics of phase singularities in two-dimensional 
oscillating systems. 92m:58097 

Ershov, S. V. (with Potapov, A. B.) Bifurcations of inertial manifolds in a model problem. 
(Russian. English summary) 92m:58098 

Fetkan, Michal Bifurcation of heteroclinic orbits for diffeomorphisms. (Slovak summary) 
92k:58189 

— On the existence of homoclinic points. 92k:58190 

Feng, Zaichun (with Sethna, P. R.) Global bifurcation and chaos in parametrically forced 
systems with one-one resonance. 92b:58158 

— see also Sethna, P. R.; et al., 92h:58147 

Field, Mike (with Swift, James W.) Stationary bifurcation to limit cycles and heteroclinic 
cycles. 92k:58191 

Fortier, Claude (with Gervais, Jean-Jacques) Persistence of bifurcation diagrams in the 
presence of symmetry. 92i:58133 

Fournier-Prunaret, Daniéle Structure des bifurcations d’un endomorphisme du cercle en lui- 
méme dans un plan de paramétres. (English summary) [Structure of the bifurcations of a 
circle endomorphism in a parameter plane] 92b:58159 

Fruchard, Augustin Canards discrets. (English summary) [Discrete canards] 92m:58099 

Furter, J. E. On the bifurcations of subharmonics in reversible systems. 92i:58134 

— see also Eilbeck, J. C., 92b:58157 

Gamero, Estanislao see Ponce, Enrique, 92e:58147 

Gavrilov, N. K. Some bifurcations of equilibrium states of codimension two of zero- 
divergence vector fields. 92d:58148 

Geiger, Ch. see Dangelmayr, G., 92d:58147 

Gervais, Jean-Jacques see Fortier, Claude, 92i:58133 

Gonchenko, S. V. On a two-parameter family of systems close to a system with a nonrough 
homoclinic curve. I [translation of Methods of the qualitative theory of differential 
equations (Russian), 55-72, Gor’kov. Gos. Univ., Gorki, 1985]. 92b:58160 

Grauer, R. Codimension two interactions of tearing modes. 92¢:58146 

Guckenheimer, John see Kim, Seung-hwan, 924:58152 

Hartmann, Christian see Clerc, René-Louis; et al., 92a:58106 and 92g:58094 

Heinz, G. see Schneider, Klaus R., 92h:58146 

Hill, Andrew (with Stewart, Ian N.) Hopf-steady-state mode interactions with O(2) 
symmetry. 92h:58141 

Hirschberg, P. (with Knobloch, Edgar) An unfolding of the Takens-Bogdanov singularity. 
924:58149 

Holmes, Philip see Campbell, Sue Ann, 92i:58132 

Hotta, A. see Komuro, Motomasa; et al., 92j:58073 

Huang, Xian Hua A mathematical model of a cubic system in physics. (Chinese summary) 
92d:58150 : 

Ida, T. see Tokunaga, R.; et al., 92m:58100 

Jacobs, Marc see Chicone, Carmen, 92e:58142 and 92e:58143 

Janovsky, Viadimir (with Plechaé, Petr) Asymptotic analysis of perturbed Takens- 
Bogdanov points. 92h:58142 





58F Ordinary differential equations on manifolds; dynamical systems 


58F14 


Just, Wolfram Dynamics of the stochastic Duffing oscillator in Gaussian approximation. 
92£:58120 

Kay, Steven R. Global bifurcations in a simple, autocatalytic reaction. 924:58151 

Kent, Phillip (with Elgin, John) Noose bifurcation of periodic orbits. 92k:58192 

— (with Elgin, John) A Shil‘nikov-type analysis in a system with symmetry. 92i:58135 

Kevrekidis, loannis G. see Peckham, Bruce B., 92k:58194 

Kharrasov, M. Kh. see Alekseev, V. V., 92h:58138 

Kim, Seung-hwan (with Guckenheimer, John) The two-dimensional torus: numerical 
explorations and mathematical conjectures. 92d:58152 

King, G. P. see Ashwin, Peter; et al., 92d:58144 

Kirchgraber, U. (with Lasagni, F.; Nipp, K.; Stoffer, Daniel) On the application of invariant 
manifold theory, in particular to numerical analysis. 92h:58143 

Kirk, Vivien Breaking of symmetry in the saddle-node Hopf bifurcation. 92g:58096 

Knobloch, Edgar see Hirschberg, P., 92d:58149; Crawford, John David; et al., 92e:58145; 
Landsberg, A. S., 92i:58136 and Silber, Mary, 92j:58075 

Knop, W. see Scheffczyk, C.; et al. 

Kokubu, Hiroshi see Oka, Hiroe, 92h:58144 

Komuro, Motomasa (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) 
Global bifurcation analysis of the double scroll circuit. 92j:58073 

— (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) Errata: “Global 
bifurcation analysis of the double scroll circuit” [Internat. J. Bifur. Chaos Appl. Sci. 
Engrg. 1 (1991), no. 1, 139-182; MR 92j:58073]. 

Krupa, Martin Bifurcations of relative equilibria. 92b:58161 

Kunkel, Peter Augmented systems for generalized turning points. 92g:58097 

Kurz, T. see Parlitz, U.; et al., 92c:58096 and Scheffczyk, C.; et al., 92f:58123 

Lahiri, Avijit see Roy, Tarun K., 92h:58145 and Sevryuk, M. B., 92h:58148 

Lakshmanan, M. see Murali, K., 92d:58153 

Landsberg, A.S. (with Knobloch, Edgar) Direction-reversing traveling waves. 92i:58136 

Lasagni, F. see Kirchgraber, U.; et al., 92h:58143 

Lauterbach, Reiner Dynamics near steady state bifurcations in problems with spherical 
symmetry. 92f:58121 

Lauterborn, Werner see Parlitz, U.; et al., 92c:58096 and Scheffczyk, C.; et al., 92f:58123 

Loginov, B. V. A general approach to the study of the bifurcation of the birth of a cycle 
under conditions of group symmetry. (Russian. Uzbek summary) 92c:58094 

Lyubimov, D. V. (with Pikovskii, A. S.; Zaks, M. A.) * Universal scenarios of transitions to 
chaos via homoclinic bifurcations. 92j:58074 

— see also Zaks, M. A., 924:58158 

Martinez-Seara, Ma. Teresa see Delshams, Amadeo, 92c:58093 

Matsumoto, Takashi see Komuro, Motomassa; et al., 92j:58073; Tokunaga, R.; et al., 
92m:58100 and Komuro, Motomasa; et al. 

McCord, Christopher (with Mischaikow, Konstantin) Connected simple systems, transition 
matrices, and heteroclinic bifurcations. 92k:58193 

Meron, Ehud see Elphick, Christian, 92m:58097 

Mira, Christian (with Carcassés, J. P.; Bosch i Casabd, Marianna; Sim6, Carles; Tatjer, 
J.C.) “Crossroad area-spring area” transition. II. Foliated parametric representation. 
92g:58098 

— see also Carcasses, J. P.; et al., 92b:58154 

Mischaikow, Konstantin see McCord, Christopher, 92k:58193 

Miya, K. see Tokunaga, R.; et al., 92m:58100 

Moiola, Jorge (with Castro, Liliana; Cendra, Hernan; Desages, Alfredo C.) Degenerate 
bifurcations and catastrophe sets via frequency analysis. 92¢:58095 

Murali, K. (with Lakshmanan, M.) Bifurcation and chaos of the sinusoidally-driven Chua’s 
circuit. 92d:58153 

Nipp, K. see Kirchgraber, U.; et al., 92h:58143 

Oka, Hiroe (with Kokubu, Hiroshi) Versal unfoldings of constrained systems of corank 1. 
92h:58144 

Pacifico, M. J. see Beloqui, J., 92a:58104 

Parlitz, U. (with Scheffczyk, C.; Kurz, T.; Lauterborn, Werner) On modeling driven 
oscillators by maps. 92¢:58096 

— see also Scheffezyk, C.; et al., 92f:58123 

Peckham, Bruce B. (with Kevrekidis, loannis G.) Period doubling with higher-order 
degeneracies. 92k:58194 

Pikovskii, A.S. see Lyubimov, D. V.; et al., 92j:58074 

Plechaé, Petr see Janovsky, Viadimir, 92h:58142 

Ponce, Enrique (with Gamero, Estanislao) Generating Hopf bifurcation formulae with 
MAPLE. 92¢:58147 

Post, T. (with Capel, H. W.; Quispel, G. R. W.; van der Weele, J. P.) Bifurcations in two- 
dimensional reversible maps. 92b:58162 

Potapov, A. B. see Ershov, S. V., 92m:58098 

Quispel, G. R. W. see Post, T.; et al., 92b:58162 

Razafimandimby, Boniface see Clerc, René-Louis; et al., 92a:58106 and 92g:58094 

Riecke, Hermann see Crawford, John David; et al., 92e:58145 

Roitenberg, V. Sh. Bifurcations of separatrices that are asymptotic to a separatrix contour. 
(Russian) 92e:58148 

Ross, John see Vance, William N., 92h:58149 

Roussarie, R. see Dumortier, Freddy, 92b:58156 

Rousseau, Christiane Universal unfolding of a singularity of a symmetric vector field with 
7-jet C®-equivalent to y9/Ax + (+x? + x®y)d/Ay. 92c:58097 

Roy, Tarun K. (with Lahiri, Avijit) Reversible Hopf bifurcation in four-dimensional maps. 
92h:58145 

Sdez, Eduardo see Billeke G., J.; et al., 92f:58117 

Salvadori, L. see Bernfeld, S. R.; et al., 92b:58151 

Sannami, Atsuro A difference set of a Cantor set. 92f:58122 

Sapronov, Yu. I. The bifurcation of stationary rotations of a multidimensional asymmetric 
rigid body from the sleeping top regime [in Global analysis and nonlinear equations 
(Russian), 141-152, Voronezh. Gos. Univ., Voronezh, 1988; MR 90k:58157]. (see 
92b:58001) 

Scheffezyk, C. (with Parlitz, U.; Kurz, T.; Lauterborn, Werner) Comparison of bifurcation 
sets of driven strictly dissipative oscillators. 92:58123 





58F14 


— (with Parlitz, U.; Kurz, T.; Knop, W.; Lauterborn, Werner) Comparison of bifurcation 
structures of driven dissipative nonlinear oscillators. 

— see also Parlitz, U.; et al., 92c:58096 

Schneider, Klaus R. (with Heinz, G.) Branch inclusion in generic Hopf bifurcation: general 
approach. (German and Russian summaries) 92h:58146 

Sethna, P. R. (with Feng, Zaichun; Yang, X. L.) On symmetry breaking bifurcations: local 
and global phenomena. 92h:58147 

— see also Feng, Zaichun, 92b:58158 

Sevryuk, M. B. (with Lahiri, Avijit) Bifurcations of families of invariant curves in four- 
dimensionz! reversible mappings. 92h:58148 

Sextro, Walter see Stelter, Peter, 92b:58163 

Shashkov, M. V. Bifurcations of separatrix contours on two-dimensional surfaces. 
(Russian) (see 92c:00016) 

Shil/nikov, L. P. see Biragov, V. S., 92d:58146 

Silber, Mary (with Knobloch, Edgar) Hopf bifurcation on a square lattice. 92j:58075 

Simé, Carles see Carcassés, J. P.; et al., 92b:58154 and Mira, Christian; et al., 92g:58098 

Soliman, Mohamed S. see Thompson, J. M. T., 92k:58195 

Spence, A. (with Aston, P. J.; Wu, Wei!) Bifurcation and stability analysis in nonlinear 
equations using symmetry breaking in extended systems. (see 92d:65009) 

Stelter, Peter (with Sextro, Walter) Bifurcations in dynamic systems with dry friction. 
92b:58163 

Stewart, Ian N. see Hill, Andrew, 92h:58141 

Stoffer, Daniel see Kirchgraber, U.; et al., 92h:58143 

Swift, James W. see Ashwin, Peter; et al., 92d:58144 and Field, Mike, 92k:58191 

Szanté, Ivan see Billeke G., J.; et al., 92f:58117 

Takens, Floris Homoclinic bifurcations. (see 92m:58036) 

Talibi, H. (with Casal, Alfonso C.) A perturbation approach to bifurcation branches of 
periodic solutions for some functional-differential equations. (Serbo-Croatian summary) 
924:58154 

Tatjer, J.C. see Carcasses, J. P.; et al., 92b:58154 and Mira, Christian; et al., 92g:58098 

Terman, David see Chow, Shui-Nee; et al., 92g:58093 

Thompson, J. M.T. (with Soliman, Mohamed S.) Indeterminate jumps to resonance from a 
tangled saddle-node bifurcation. 92k:58195 

Togawa, Yoshio Bifurcations from Silnikov systems. 92d:58155 

Tokunaga, R. (with Matsumoto, Takashi; Ida, T.; Miya, K.) Homoclinic linkage in the 
double scroll circuit and the cusp-constrained circuit. 92m:58100 

— see also Komuro, Motomasa; et al., 92j:58073 

Tu, Pao Shéng On the bifurcation of periodic orbits of some generalized Hénon mappings. 
92k:58196 

Uezu, Tatsuya Topological structure in flow systems. 92f:58124 

Vance, William N. (with Ross, John) Bifurcation structures of periodically forced 
oscillators. 92h:58149 

Vanderbauwhede, André Period-doublings and orbit-bifurcations in symmetric systems. 
924:58156 

— Hopf bifurcation for equivariant conservative and time-reversible systems. 92f:58125 

Vegter, Gert see Broer, H. W., 92m:58096 

Visentin, F. see Bernfeld, S. R.; et al., 92b:58151 

Wang, Duo Hopf bifurcation at the nonzero foci in 1:4 resonance. 92d:58157 

van der Weele, J. P. see Post, T.; et al., 92b:58162 

Wegelin, M. see Dangelmayr, G., 92h:58139 

Werner, Bodo Eigenvalue problems with the symmetry of a group and bifurcations. 
92b:58164 

Wu, Wei! see Spence, A.; et al., (924:65009) 

Yang, X. L. see Sethna, P. R.; et al., 92h:58147 

Zachilas, L. see Contopoulos, G., 92e:58144 

Zaks, M. A. (with Lyubimov, D. V.) Bifurcation sequences in the dissipative systems with 
saddle equilibria. 92d:58158 

— see also Lyubimov, D. V.; et al., 92j:58074 

Zeegers, Th. On the existence of infinite period-doubling sequences in a class of 4D semi- 
symplectic mappings. 92i:58137 


Items with secondary classifications in 58F14 

Abelson, H. The Bifurcation Interpreter: a step towards the automatic analysis of dynamical 
systems. 92a:58002 

Adachi, Norihiko see Mitobe, Kazuhisa 

Afendikov, A. L. Bifurcation on the slow cycle in some hydrodynamic problems. (see 
92g:73003) 

Afraimovich, V.S. (with Shereshevskii, M. A.) The Hausdorff dimension of attractors 
appearing by saddle-node bifurcations. 92h:58121 

Aicardi, Francesca (with Kawczynski, Andrzej Lech) Erratum: “Period-adding phenom- 
enon in a model of chemical system” [Complex Systems 4 (1990), no. 1, 1-10; MR 
91e:58175]. 

Amann, Herbert Hopf bifurcation in quasilinear reaction-diffusion systems. 92h:35102 

Antonyuk, P. N. (with Stanyukovich, K. P.) The logistic difference equation. Period 
doublings and Fermat numbers. (Russian) 92d:11019 

Aracil, J. (with Toro, M.) Bifurcations and chaos in a predator-prey-food ecological model. 
924:92033 

Armbruster, Dieter Square and almost square symmetry in binary convection. 924:76026 

— see also Kirby, M.; et al., 92b:58215 and Chossat, Pascal, 92m:58072 

Arnold, Ludwig (with Boxler, Petra) Elimination of fast variables in the presence of noise: 
stochastic center manifold theory. 92e:58184 

Arnold, V. 1. * The theory of singularities and its applications. 92i:58020 

Arrowsmith, D. K. (with Place, C. M.) Examples of attracting sets of Birkhoff type. 
924:58115 

Ashwin, Peter Sy tric chaos in systems of three and four forced oscillators. 92d:58145 

Aston, P. J. Local and global aspects of the (1, ) mode interaction for capillary-gravity 
waves. 92m:76022 





— Analysis and computation of symmetry-breaking bifurcation and scaling laws using group- 
theoretic methods. 92e:58045 


Awrejcewicz, J. Bifurcations of the oscillations of the vocal cords. 92b:92011 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 1014 


Azmy, Y. Y. (with Protopopescu, V.) On the dynamics of a discrete reaction-diffusion 
system. 92k:58134 

Barkley, Dwight see Tuckerman, Laurette S., 92g:76046 

Battelli, Flaviano (with Lazzari, Claudio) Exponential dichotomies, heteroclinic orbits, and 
Mel’nikov functions. 924:58177 

Batunin, A. V. Generalities of intermittency generating functions. 92g:58082 

Bau, Haim H. On controlling a chaotic system. 92i:58114 

Belogortsev, A. B. Analytical approach to the torus bifurcations in the quasiperiodically 
forced van der Pol oscillator. 92j:34070 

(Benoit, E.) see Dynamic bifurcations, 92m:58034 

Bibikov, Yu. N. Construction of invariant tori of systems of differential equations with a 
small parameter. (Russian) 92i:34044 

Billeke G., J. see Burgos, H., 924:34060 

Blank, M. L. Phase space discretization in chaotic dynamical systems. 92h:58125 

Boxler, Petra see Arnold, Ludwig, 92e:58184 

Briggs, K.M. (with Quispel, G. R. W.; Thompson, Colin J.) Feigenvalues for Mandelsets. 
92h:58167 

Broomhead, D.S. see Healey, J. J.; et al., 92a:34033 

Brown, H.S. (with Kevrekidis, loannis G.; Oron, A.; Rosenau, P.) Bifurcations and pattern 
formation in the “regularized” Kuramoto-Sivashinsky equation. 92m:35219 

Brown, Ray (with Chua, Leon O.) Horseshoes in the twist-and-flip map. 92j:58068 

Bruhn, B. (with Koch, B. P.) H linic bif ions and invariant manifolds in rocking 
block dynamics. 92c:70026 

Burgos, H. (with Billeke G., J.) Stability problems of perturbed Liénard equations by 
polynomials in 0/dy direction. (Spanish) 92d:34060 

Bykov, V. V. (with Shil/nikov, A. L.) Boundaries of the domain of existence of a Lorenz 
attractor. (Russian) 92a:58092 

Caiias, Moisés see Urbina, A. M.; et al., 92f:58144 

Carbonell, Marc (with Llibre, Jaume) Hopf bifurcation, averaging methods and Liapunov 
quantities for polynomial systems with homogeneous nonlinearities. 92m:34087 

Chee, Merk-Na see Wu, Xiao-Guang; et al., 92i:80015 

Chicone, Carmen On bifurcation of limit cycles from centers. 92f:58142 

Chossat, Pascal (with Lauterbach, Reiner; Melbourne, Ian) Steady-state bifurcation with 
O(3)-symmetry. 924:58034 

— (with Armbruster, Dieter) Structurally stable heteroclinic cycles in a system with O(3) 
symmetry. 92m:58072 

Chou, Mo Hong Hopf bifurcation in a reaction-diffusion system governed by the FitzHugh- 
Nagumo equations. 92k:35030 

Chua, Leon O. see Brown, Ray, 92j:58068 

Cliffe, K. A. see Healey, J. J.; et al., 92a:34033; Tavener, S. J.; et al., 92f:76037 and 92£:76055 

Cong, Luan see Li, Tien-Yien; et al., 92i:65075 

Crawford, John David (with Knobloch, Edgar) Symmetry and symmetry-breaking 
bifurcations in fluid dynamics. 92e:76023 

— (with Golubitsky, Martin; Gomes, M. G. M.; Knobloch, Edgar; Stewart, Ian N.) 
Boundary conditions as symmetry constraints. 92i:58039 

Demékhin, E. A. (with Tokarev, G. Yu.; Shkadov, V. Ya.) Hierarchy of bifurcations of 
space-periodic structures in a nonlinear model of active dissipative media. 92k:58249 

Desai, Rashmi C. see Puri, Sanjay; et al., 92d:58193 

Diekmann, Odo (with van Gils, Stephan A.) The center manifold for delay equations in the 
light of suns and stars. 92m:47151 

Ding, Ming Zhou (with Grebogi, Celso; Ott, Edward; Yorke, James A.) Massive bifurcation 
of chaotic scattering. 92b:58142 

Eckmann, Jean-Pierre (with Wayne, C. E.) Propagating fronts and the center manifold 
theorem. 92e:58198 

Eichwald, C. see Kaiser, Friedemann, 92f:34031 

Eleonskii, V. M. (with Korolev, V. G.; Kulagin, N. E.; Shil‘nikov, L. P.) Branching 
bifurcations of vector envelope solitons and integrability of Hamiltonian systems. 
(Russian) 92e:35145 

Elskens, Yves (with Escande, D. F.) Slowly pulsating separatrices sweep homoclinic tangles 
where islands must be small: an extension of classical adiabatic theory. 92h:58066 

Englisch, V. (with Lauterborn, Werner) Regular window structure of a double-well Duffing 
oscillator. 924:34076 

Escande, D. F. see Elskens, Yves, 92h:58066 

Farkas, Henrik (with Gydkér, Solt; Wittmann, Maria) Investigation of global equilibrium 
bifurcations by the method of parametric representation. (Hungarian. English summary) 
92a:34038 

Farkas, M. Competitive exclusion by zip bifurcation. (see 92b:00038) 

Fedorov, E. L. see Medvedev, Vladislav Sergeevich, 92f:34032 

Field, Mike (with Golubitsky, Martin; Stewart, lan N.) Bifurcations on hemispheres. 
92£:58036 

Forysiak, W. (with Moloney, J. V.; Harrison, R.G.) Bifurcations of an optically pumped 
three-level laser model. 92h:78019 

Franke, Jeffery M. (with Stech, Harlan W.) Extensions of an algorithm for the analysis of 
nongeneric Hopf bifurcations, with applications to delay-difference equations. 92k:34092 

Freire Macias, Emilio (with Ponce, Enrique; Rodriguez-Luis, Alejandro J.) A continuation 
method for homoclinic orbits in two-parameter plane autonomous systems. (Spanish. 
English summary) (see 92b:00044) 

— see also Rodriguez-Luis, Alejandro J.; et al., 92d:34084 and Gamero, Estanislao; et al., 
(92m:00052) 

Gamero, Estanislao (with Rodriguez-Luis, Alejandro J.; Freire Macias, Emilio) Degenerate 
Hopf bifurcations in an electronic oscillator. (Spanish. English summary) (see 92m:00052) 

Gardner, Robert Alan Stability and Hopf bifurcation of steady state solutions of a singularly 
perturbed reaction-diffusion system. 92k:35143 

Garratt, T. J. see Moore, Gerald; et al., 92a:65219 

Gaspar, V. (with Peng, Bo; Showalter, K.) Saddle-loop bifurcations in a two-variable, flow 
Oregonator. 92¢:80027 

Gavrilik, A.M. Geometry in nonlinear quantum field models on Stiefel manifolds, 
and bifurcations of associated autonomous systems. (Russian. Ukrainian summary) 
92m:81153 

van Gils, Stephan A. see Diekmann, Odo, 92m:47151 








1015 1992 


Gol'dshtik, M. A. (with Shtern, V.N.) Structural turbulence. 92g:58083 

Gol'tser, Ya. M. Some bifurcational problems of the theory of stability. 92j:34080 

Golubitsky, Martin (with Krupa, Martin; Lim, Chjan C.) Time-reversibility and particle 
sedimentation. 92c:76021 

— see also Field, Mike; et al., 92£:58036 and Crawford, John David; et al., 92i:58039 

Gomes, M. G. M. see Crawford, John David; et al., 92i:58039 

Gonchenko, S. V. Moduli of systems with structurally unstable homoclinic trajectories (the 
cases of diffeomorphisms and vector fields). (Russian) 92e:58151 

Grassberger, Peter see Pikovskii, A. S., 92i:58128 

Grebogi, Celso see Ding, Ming Zhou; et al., 92b:58142 

Gutiérrez, Carlos (with Sotomayor, Jorge) Periodic lines of curvature bifurcating from 
Darbouxian umbilical connections. 92e:58113 

Giittinger, W. see Kirby, M.; et al., 92b:58215 

Gyékér, Solt see Farkas, Henrik; et al., 92a:34038 

Harrison, R. G. see Forysiak, W.; et al., 92h:78019 

Haug, Peter Structure formation in directional solidification. 92b:80008 

He, Xiang Jian Hopf bifurcation at infinity with discontinuous nonlinearities. 92i:34050 

Healey, J.J. (with Broomhead, D. S.; Cliffe, K. A.; Jones, Robin; Mullin, T.) The origins of 
chaos in a modified van der Pol oscillator. 92a:34033 

Healey, Timothy J. Stability and bifurcation of rotating nonlinearly elastic loops. 92f:73031 

Hoang Hi’uDu’o’ng (with Nguyén Van Minh) Singularities of the stability frontier of 
generic families of linear differential equations. 924:58015 

Horak, Jiti Qualitative dynamics, scenarios of generation of chaos and homoclinic 
structures. 924:58135 

Hsu, Chieh Su (with Kreuzer, E.; Kim, M.C.) Bifurcation characteristics of piecewise 
linear mappings and their implications. 92a:58073 

Huang, Ke Lei see To, C. W. S.; et al., 92d:34087 

Ichiraku, Shigeo Analysis of Schmitt triggers. 924:94037 

Ikeda, Kiyohiro (with Murota, Kazuo) Bifi i lysis of sy 
block-diagonalization. 92a:73028 

— see also Murota, Kazuo, 92a:65174 

Ilyashenko, Yu. S. (with Yakovenko, S. Yu.) Finitely smooth normal forms of local 
families of diffeomorphisms and vector fields. (Russian) 92i:58165 

Impey, M. D. (with Riley, D. S.) On exchanges between convective modes in a slightly tilted 
porous cavity. 92f:76039 

Tooss, G. (with Mielke, Alexander) Reduction and normalization of hydrodynamical 
stability problems in infinitely long cylinders. 92k:76029 

Janeczko, Stanistaw (with Roberts, Mark) Classification of symmetric caustics. I. 
Symplectic equivalence. 92h:58029 

Jing, Zhu Jun Local and global bifurcations and applications in a predator-prey system with 
several parameters. 92h:92016 

Jolly, M.S. (with Kevrekidis, loannis G.; Titi, Edriss Saleh) Preserving dissipation in 
approximate inertial forms for the Kuramoto-Sivashinsky equation. 92b:35165 

Jones, Robin see Healey, J. J.; et al., 92a:34033 

Kaiser, Friedemann (with Eichwald,C.) Bifurcation structure of a driven, multi-limit-cycle 
van der Pol oscillator. I. The superharmonic resonance structure. 92f:34031 

— see also Merkle, D., 92a:81242 

Kapral, Raymond see Puri, Sanjay; et al., 92d:58193 and Wu, Xiao-Guang; et al., 92i:80015 

Karkowski, J. Review of bifurcations in Yang-Mills mechanics. 92g:58035 

Kawezytski, Andrzej Lech see Aicardi, Francesca 

Kazarinoff, Nicholas D. (with Yan, Joseph G. G.) Spatially periodic steady-state solutions 
of a reversible system at strong and subharmonic resonances. 92b:35079 

Kertész, V. (with Kooij, Robert E.) Degenerate Hopf bifurcation in two dimensions. 
92i:58095 

Ketoja, Jukka A. Strange dynamical objects of renormalisation. 92d:58137 

Kevrekidis, Ioannis G. see Jolly, M. S.; et al., 92b:35165 and Brown, H. S.; et al., 92m:35219 

Kim, M.C. see Hsu, Chieh Su; et al., 92a:58073 

Kirby, M. (with Armbruster, Dieter; Giittinger, W.) An approach for the analysis of 
spatially localized oscillations. 92b:58215 

Knobloch, Edgar see Crawford, John David, 92e:76023 and 92i:58039 

Koch, B. P. see Bruhn, B., 92c:70026 

Kokubu, Hiroshi (with Nishiura, Yasumasa; Oka, Hiroe) An application of hetero- and 
homoclinic bifurcations to bistable reaction diffusion systems. 92g:58115 

— (with Nishiura, Yasumasa; Oka, Hiroe) Heteroclinic and homoclinic bifurcations in 
bistable reaction diffusion systems. 92a:58128 

Kooij, Robert E. see Kertész, V., 92i:58095 

Kopylov, V. N. (with Yanchenko, S. S.) Investigation of the  period-doubling bifurcation 
cascade occurring during the development of magr ydrody ic instability in 
bismuth. (see 92c:58001) 

Korolev, V.G. see Eleonskii, V. M.; et al., 92e:35145 

Kreuzer, E. see Hsu, Chieh Su; et al., 92a:58073 

Krupa, Martin see Golubitsky, Martin; et al., 92c:76021 

Kulagin, N. E. see Eleonskii, V. M.; et al., 92¢:35145 

Kusmartsev, F. V. Singularity of differential mappings and stability of solitons. 92a:58080 

Kuznetsov, Yurii Aleksandrovich (with Rinaldi, Sergio) Numerical analysis of the flip 
bifurcation of maps. 92f:58157 

Lakshmanan, M. see Parthasarathy, S., 92g:70019 

Lansbury, A. N. see Stewart, H. B.; et al., 92h:34079 

Lau, S. L. (with Yuen, S. W.) The Hopf bifurcation and limit cycle by the incremental 
harmonic balance method. 92j:34082 

Lauterbach, Reiner see Chossat, Pascal; et al., 92d:58034 

Lauterborn, Werner see Englisch, V., 92d:34076 

Lazzari, Claudio see Battelli, Flaviano, 92d:58177 

Leon de la Barra, G. see Urbina, A. M.; et al., 92£:58144 

Le6n de la Barra, M. see Urbina, A. M.; et al., 92f:58144 

Li, Ji Bin (with Wan, Shi Dong) Global bifurcations in a disturbed Hamiltonian vector 
field approaching a 3:! resonant Poincaré map. I. 92e:34051 

— see also Liu, Yi Rong; et al., 92b:58190 

Li, Tien-Yien (with Zeng, Zhong Gang; Cong, Luan) Solving eigenvalue problems of real 
nonsymmetric matrices with real homotopies. 92i:65075 








ic structures using 





58F Ordinary differential equations on manifolds; dynamical systems 


Lim, Chjan C. see Golubitsky, Martin; et al., 92c:76021 

Lin, Fu Qin see La, Qin He; et al., 92d:58094 

Lin, Rui see To, C. W. S.; et al., 92d:34087 

Lin, Xiao-Biao Using Mel/nikov’s method to solve Silnikov’s problems. 92b:58195 

Liu, Yi Rong (with Li, Ji Bin) On the singularity values of complex autonomous differential 
systems at singular points. (Chinese) 92b:58190 

Liu, Zeng Rong see La, Qin He; et al., 92d:58094 

Liibre, Jaume see Carbonell, Marc, 92m:34087 

La, Bang Zheng (with Zhou, Ling Yun) Chaos and bifurcation of periodic solution on the 
problem of Euler dynamical bending. (see 92i:00013) 

La, Qi Shao see To, C. W.S.; et al., 92d:34087 

La, Qin He (with Xu, Zheng Fan; Lin, Fu Qin; Liu, Zeng Rong) The global bifurcation 
structure of a kind of digit mapping. (Chinese. English summary) 924:58094 

(MacKay, R.S.) see Hamiltonian dynamical , 92g:58028 

MardeSi¢, Pavao The number of limit cycles of polynomial deformations of a Hamiltonian 
vector field. 92b:58191 

Margolis, Stephen B. New routes to quasiperiodic combustion of solids and high-density 
fluids near resonant Hopf bifurcation points. 92d:80005 

— Erratum: “New routes to quasiperiodic combustion of solids and high-density fluids near 
resonant Hopf bifurcation points” [SIAM J. Appl. Math. 51 (1991), no. 3, 693-726; MR 
92d:80005]. 

Mashkevich, V.S. Indeterministic quantum theory (a survey). (Russian. English and 
Ukrainian summaries) 92h:81016 

Medved, Milan Normal forms and bifurcations of some equivariant vector fields. (Russian 
summary) 92¢:58133 

Medvedev, Viadislav Sergeevich (with Fedorov, E. L.) A sufficient condition for the 
existence of bifurcation manifolds of saddle separatrices. (Russian) 92f:34032 

(Meiss, J.D.) see Hamiltonian dynamical systems, 92g:58028 

Melbourne, Ian see Chossat, Pascal; et al., 92d:58034 

Merkle, D. (with Kaiser, Friedemann) Dynamics of the passive optical ring resonator: 
stability analysis and the onset of self-pulsing. 92a:81242 

Mielke, Alexander see Iooss, G., 92k:76029 

Mira, Christian Chaotic hierarchy from the one-dimensional box-within-a-box bifurcations 
structure properties. (see 92m:58093) 

Mitobe, Kazuhisa (with Adachi, Norihiko) Hopf bifurcation in an adaptive d.c. servo 
system. 

Miyazaki, Syuji see Yoshida, Takeshi, 92d:58125 

Moloney, J. V. see Forysiak, W.; et al., 92h:78019 

Montaldi, James (with Roberts, Mark; Stewart, lan N.) Existence of nonlinear normal 
modes of symmetric Hamiltonian systems. 92e:58190 

— (with Roberts, Mark; Stewart, Ian N.) Stability of nonlinear normal modes of symmetric 
Hamiltonian systems. 92e:58191 

Moore, Gerald (with Garratt, T. J.; Spence, A.) The numerical detection of Hopf 
bifurcation points. 92a:65219 

Mori, Hazime (with Okamoto, Hisao; Tominaga, Hirotaka) Energy dissipation and its 
fluctuations in chaotic dynamical systems. 92h:58130 

Mourtada, Abderaouf Cyclicité finie des polycycles hyperboliques de champs de vecteurs 
du plan: mise sous forme normale. [Finite cyclicity in normal form of the hyperbolic 
polycycles of vector fields of the plane] 92d:58168 

— Cyclicité finie des polycycles hyperboliques du plan. (English summary) [Finite cyclicity 
of hyperbolic polycycles in the plane] 92e:58168 

Mallin, T. see Healey, J. J.; et al., 92a:34033 and Tavener, S. J.; et al., 92£:76037 

Murota, Kazuo (with Ikeda, Kiyohiro) Computational use of group theory in bifurcation 
analysis of symmetric structures. 92a:65174 

— see also Ikeda, Kiyohiro, 92a:73028 

Nagata, Wayne A perturbed Hopf bifurcation with reflection symmetry. 924:58035 

Nashed, M. Zuhair (with Nguyén Xuan Tan) Nontrivial solutions of nonlinear equations 
from simple eigenvalues and their stability. 92m:34142 

Nguyén Van Minh see Hoang Hii’u-Du’d’ng, 924:58015 

Nguyén Xuan Tan see Nashed, M. Zuhair, 92m:34142 

Nishiura, Yasumasa see Kokubu, Hiroshi; et al., 92a:58128 and 92g:58115 


Nishizawa, Kiyoke Convergence of a” 
English summary) 92g:58066 

— see also Yoshimoto, Minako, 92i:58131 

Oka, Hiroe see Kokubu, Hiroshi; et al., 92a:58128 and 92g:58115 

Okamoto, Hisao see Mori, Hazime; et al., 92h:58130 

Oron, A. see Brown, H. S.; et al., 92m:35219 

Ott, Edward see Ding, Ming Zhou; et al., 92b:58142 

Palis, J. Gradient flows. 92e:58112 

Papoulias, Fotis A. Bifurcation analysis of line of sight vehicle guidance using sliding 
modes. 92m:70048 

Parthasarathy, S. (with Lakshmanan, M.) Analytic structure of the damped driven Morse 
oscillator. 92g:70019 

Peng, Bo see Gaspar, V.; et al., 92c:80027 

Perko, L. M. Bifurcation of limit cycles. 92c:58111 

Peters, Martin Classification of two-parameter bifurcations. 92i:58024 

Pikovskii, A.S. (with Grassberger, Peter) Symmetry breaking bifurcation for coupled 
chaotic attractors. 92i:58128 

Place, C. M. see Arrowsmith, D. K., 92d:58115 

Pollicott, Mark A note on the Artuso-Aurell-Cvitanovic approach to the Feigenbaum 
tangent operator. 92d:58166 

Ponce, Enrique see Rodriguez-Luis, Alejandro J.; et al., 92d:34084 and Freire Macias, 
Emilio; et al., (92b:00044) 

Protopopescu, V. see Azmy, Y. Y., 92k:58134 

Przytycki, Feliks Chaos after bifurcation of a Morse-Smale diffeomorphism through a one- 
cycle saddle-node and iterations of multivalued mappings of an interval and a circle. 
92b:58117 

Puri, Sanjay (with Desai, Rashmi C.; Kapral, Raymond) Coupled map model with a 
conserved order parameter. 924:58193 


and bifurcation of dynamical systems. (Japanese. 





58F14 


Quispel, G. R. W. see Briggs, K. M.; et al., 92h:58167 

Riley, D.S. see Impey, M. D., 92f:76039 

Rinaldi, Sergio see Kuznetsov, Yurii Aleksandrovich, 92f:58157 

Ringland, John (with Schell, Mark) Genealogy and bifurcation skeleton for cycles of the 
iterated two-extremum map of the interval. 92h:58161 

Roberts, Mark see Montaldi, James; et al., 92e:58190; 92e:58191; Janeczko, Stanislaw, 
92h:58029 and Singularity theory and its applications, 924:00036 

Rodriguez-Luis, Alejandro J. (with Freire Macias, Emilio; Ponce, Enrique) On a codimen- 
sion 3 bifurcation arising in an autonomous electronic circuit. 92d:34084 

— see also Freire Macias, Emilio; et al., (92b:00044) and Gamero, Estanislao; et al., 
(92m:00052) 

Rosenau, P. see Brown, H. S.; et al., 92m:35219 

Rothe, Franz (with Shafer, Douglas S.) Bifurcation in a quartic polynomial system arising 
in biology. 924:92034 

Rousseau, Christiane (with Zoladek, Henryk) Zeroes of complete elliptic integrals for 1 : 2 
resonance. 92j:58086 

Rukhlov, V.S. Bifurcations and chaos in nonlinear NMR. 92j:81359 

Rychlik, Marek Ryszard Lorenz attractors through Sil/nikov-type bifurcation. I. 92£:58103 

Salvadori, L. Existence and stability of bifurcating periodic solutions of planar periodic 
systems at resonance. 92j:58087 

Satoh, Kazuhiro Numerical study on a coupled logistic map as a simple model for three 
competing species. 92d:92031 

Schell, Mark see Ringland, John, 92h:58161 

Selgrade, James F. Limits of heteroclinic orbits in a competitive model with genetic 
variation. 92b:92025 

Shafer, Douglas S. see Rothe, Franz, 92d:92034 

Shashkov, M. V. Bifurcation of separatrix contours on two-dimensional surfaces. I. 
(Russian) 924:34086 

Shen, Jia Qi Local bifurcations of Rossler’s equation. 

Shereshevskii, M. A. see Afraimovich, V.S., 92h:58121 

Shilnikov, A. L. Bifurcations and chaos in the Marioka-Shimizu model. II. (Russian) 
92e:58139 

— see also Bykov, V. V., 92a:58092 

Shil/nikov, L. P. see Eleonskii, V. M.; et al., 92e:35145 

Shkadov, V. Ya. see Demékhin, E. A.; et al., 92k:58249 

Showalter, K. see Gaspar, V.; et al., 92c:80027 

Shtern, V.N. see Gol'dshtik, M. A., 92g:58083 

Soliman, Mohamed S. (with Thompson, J. M. T.) Basin organization prior to a tangled 
saddle-node bifurcation. 92f:58104 

Song, Kai Tai see Zhou, Li; et al., 92i:34099 

Sotomayor, Jorge see Gutiérrez, Carlos, 92e:58113 

Spence, A. see Moore, Gerald; et al., 92a:65219 

Stanyukovich, K. P. see Antonyuk, P. N., 92d:11019 

Stech, Harlan W. Generic Hopf bifurcation in a class of integro-differential equations. 
92d:34142 

— see also Franke, Jeffery M., 92k:34092 

Steindl, Alois see Troger, Hans, 92k:34060 

Stewart, H. B. (with Thompson, J. M. T.; Lansbury, A. N.; Ueda, Yoshisuke) Generic 
patterns of bifurcation governing escape from potential wells. 92h:34079 

— (with Ueda, Yoshisuke) Catastrophes with indeterminate outcome. 92g:58016 

Stewart, Ian N. see Montaldi, James; et al., 92e:58190; 92e:58191; Field, Mike; et al., 
92:58036; Crawford, John David; et al., 92i:58039 and Singularity theory and its 
applications, 92d:00036 

Tavener, S. J. (with Cliffe, K. A.) Primary flow exchange mechanisms in the Taylor 
apparatus applying impermeable stress-free boundary conditions. 92f:76055 

— (with Mullin, T.; Cliffe, K. A.) Novel bifurcation phenomena in a rotating annulus. 
92:76037 

Thibault, R. Some recent results obtained in Toulouse on dynamical systems. 92a:58077 

Thompson, Colin J. see Briggs, K. M.; et al., 92h:58167 

Thompson, J. M.T. see Soliman, Mohamed S., 92f:58104 and Stewart, H. B.; et al., 
92h:34079 

Titi, Edriss Saleh see Jolly, M. S.; et al., 92b:35165 

To, C. W.S. (with Lin, Rui; Huang, Ke Lei; Lu, Qi Shao) Primary bifurcations in two non- 
linearly coupled oscillators. 924:34087 

Tokarev, G. Yu. see Demékhin, E. A.; et al., 92k:58249 

Tominaga, Hirotaka see Mori, Hazime; et al., 92h:58130 

Toro, M. see Aracil, J., 92d:92033 

Troger, Hans (with Steindl, Alois) * Nonlinear stability and bifurcation theory. 92k:34060 

Tuckerman, Laurette S. (with Barkley, Dwight) Bifurcation analysis of the Eckhaus 
instability. 92g:76046 

Ueda, Yoshisuke see Stewart, H. B., 92g:58016 and 92h:34079 

Urbina, A. M. (with Cafias, Moisés; Leon de la Barra, G.; Leon de la Barra, M.) Perturba- 
tions of a Hamiltonian family of cubic vector fields. 92f:58144 

Ushiki, Shigehiro Arnol’d’s tongues and swallow’s tails in complex parameter spaces. 
92¢:58118 

Valkering, Theo P. see van der Weele, J. P., 92d:58182 

Visentin, F. Stability properties of bifurcating periodic solutions of periodic systems. 
92i:34051 

Walther, Hans-Otto Bifurcation from a saddle connection in functional-differential 
equations: an approach with inclination lemmas. 92¢:34084 

Wan, Shi Dong see Li, Ji Bin; et al., 92e:34051 

Wayne, C.E. see Eckmann, Jean-Pierre, 92e:58198 

van der Weele, J. P. (with Valkering, Theo P.) The birth process of periodic orbits in 
nontwist maps. 924:58182 

van der Weele, Ko The birth of twin Poincaré-Birkhoff chains near 1 : 3 resonance. 
92h:58165 

Winters, K. H. Bifurcation and stability: a computational approach. 92a:65339 

Wittmann, Maria see Farkas, Henrik; et al., 92a:34038 

Wu, Xiao-Guang (with Chee, Merk-Na; Kapral, Raymond) Vortex dynamics in oscillatory 
chemical systems. 92i:80015 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Xu, Zheng Fan see Lu, Qin He; et al., 92d:58094 

Yakovenko, S. Yu. see Il'yashenko, Yu. S., 92i:58165 

Yan, Joseph G. G. see Kazarinoff, Nicholas D., 92b:35079 

Yanchenko, S.S. see Kopylov, V. N., (92c:58001) 

Yang, Zhong Hua! Detecting codimension two bifurcations with a pure imaginary and a 
simple zero eigenvalue. 

Yorke, James A. see Ding, Ming Zhou; et al., 92b:58142 

Yoshida, Takeshi (with Miyazaki, Syuji) Global bifurcations and fluctuation spectra of 
local expansion rates in nonlinear dynamical systems. 924:58125 

Yoshimoto, Minako (with Nishizawa, Kiyoko) Merger of chaotic bands in period-doubling 
cascades. 92i:58131 

Yuen, S. W. see Lau, S. L., 92j:34082 

Zeng, Zhong Gang see Li, Tien-Yien; et al., 92i:65075 

Zhao, Ping Bo Renormalization group approximation of universal constants for period- 
doubling branching sequences. (Chinese. English summary) 92m:58071 

Zhou, Li (with Song, Kai Tai) The effect of large time lags on Hopf bifurcation in prey- 
predator systems with time lags and migration. (Chinese) 92i:34099 

Zhou, Ling Yun see Lu, Bang Zheng; et al., (92i:00013) 

Zoladek, Henryk Remarks on the delay of the loss of stability of systems with changing 
parameter. 92f:34033 

— see also Rousseau, Christiane, 92j:58086 


Items listed otherwise than by author 
Conference: 
Dynamic Bifurcations * Dynamic bifurcations. 92m:58034 
Coventry * Singularity theory and its applications. Part II. 92d:00036 
Dynamic bifurcations * Dynamic bifurcations. 92m:58034 
Hamiltonian dynamical systems * Hamiltonian dynamical systems. 92g:58028 
Lecture Notes in Mathematics * Singularity theory and its applications. Part II. 92d:00036 
— * Dynamic bifurcations. 92m:58034 
Luminy * Dynamic bifurcations. 92m:58034 
Singularity theory and its applications * Singularity theory and its applications. Part II. 
92d:00036 
Symposium: 
Singularity Theory and its Applications * Singularity theory and its applications. Part II. 
92d:00036 


58F15 Hyperbolic structures (expanding maps, Anosov systems, 
etc.) 


Alouges, Francois (with Debussche, Arnaud) On the qualitative behavior of the orbits of 
a parabolic partial differential equation and its discretization in the neighborhood of a 
hyperbolic fixed point. 92m:58101 

Anosov, D. V. (with Aranson, S. Kh.; Grines, V. Z.; et al.) Dynamical systems with 
hyperbolic behavior. (Russian) 92k:58197 

— see also Dynamical systems, 92g:58103 

Aoki, Nobuo (with Moriyasu, Kazumine) Expansive homeomorphisms of solenoidal 
groups. 92c:58098 

— see also Sakai, Kazuhiro; et al., 92g:58101 

Aranson, S. Kh. see Anosov, D. V.; et al., 92k:58197 

Ashley, Jonathan (with Kitchens, Bruce; Stafford, Matthew) Boundaries of Markov 
partitions. 92k:58198 

Benci, Vieri (with Giannoni, Fabio) Homoclinic orbits on compact manifolds. 92h:58150 

Benoist, Yves (with Foulon, Patrick; Labourie, Francois) Flots d’Anosov a distributions de 
Liapounov différentiables. I. [Anosov flows with differentiable Lyapunov distributions. I] 
92e:58149 

— (with Foulon, Patrick; Labourie, Francois) Flots d’Anosov a distributions stable et 
instable différentiables. (English summary) [Anosov flows with smooth stable and 
unstable foliations] 92b:58165 

— (with Labourie, Francois) Sur les difféomorphismes d’Anosov 4 feuilletages stable et 
instable différentiables. (English summary) [On Anosov diffeomorphisms whose stable 
and unstable foliations are differentiable] 92c:58099 

Bruhn, B. Homoclinic points in higher-dimensional dynamical systems. 92c:58100 

Cascon, Ana (with Langevin, Rémi) Dimension of dynamically constructed Cantor sets. 
92h:58151 

Cawley, Elise Smooth Markov partitions and toral automorphisms. 92k:58199 

Cheban, D. N. On the structure of the Levinson center of a dissipative dynamical system 
with the hyperbolicity condition on the closure of the set of recurrent motions. (Russian) 
92£:58126 

— The structure of the Levinson center of a dissipative dynamical system with a condition 
for hyperbolicity on the closure of a set of recurrent motions. (Russian) 924:58159 

Chen, Liang' Linking and the shadowing property for piecewise monotone maps. 
92b:58166 

Chernov, N. I. Topological entropy and periodic points of two-dimensional hyperbolic 
billiards. (Russian) 92c:58101 

Cowen, Robert Julian On expanding endomorphisms of the circle. 92d:58160 

Davis, Michael J. (with MacKay, R. S.; Sannami, Atsuro) Markov shifts in the Hénon 
family. 92g:58099 

Debussche, Arnaud see Alouges, Francois, 92m:58101 

Feres, Renato (with Katok, Anatole) Anosov flows with smooth foliations and rigidity of 
geodesic flows on three-dimensional manifolds of negative curvature. 92e:58150 

Fila, Marek (with Marko, Frantisek) A remark on a flow with a homoclinic trajectory. 
(Russian and Slovak summaries) 92b:58167 

Foulon, Patrick see Benoist, Yves; et al., 92b:58165 and 92e:58149 

Giannoni, Fabio see Benci, Vieri, 92h:58150 

Gonchenko, S. V. Moduli of systems with structurally unstable homoclinic trajectories (the 
cases of diffeomorphisms and vector fields). (Russian) 92e:58151 

Grines, V. Z. see Anosov, D. V.; et al., 92k:58197 

Gu, Xiao Ping An upper bound for the Hausdorff dimension of a hyperbolic set. 92j:58076 














1017 


1992 


Harada, Makio (with Oka, Masatoshi) Pseudo orbit tracing property of c-expansive 
covering maps of closed surfaces. 92f:58127 

Hasselblatt, Boris Bootstrapping regularity of the Anosov splitting. 92i:58138 

Hayakawa, Eijirou On some branched surfaces which admit expanding immersions. 
92g:58100 

Ikegami, Gik Hyperbolic endomorphisms and deformed horseshoes. 92e:58152 

Inaba, Takashi (with Matsumoto, Shigenori) Nonsingular expansive flows on 3-manifolds 
and foliations with circle prong singularities. 92e:58153 

Ito, Kiyoshi Classification of nilmanifolds M" (n < 6) admitting Anosov diffeomorphisms. 
92j:58077 

Kaper, Tasso J. (with Wiggins, Stephen) Lobe area in adiabatic Hamiltonian systems. 
92j:58078 


Kato, Kazuhisa Hyperbolicity and pseudo-orbits for flows. 92b:58168 

Katok, Anatole see Feres, Renato, 92e:58150 

Katsuda, Atsushi (with Sunada, Toshikazu) Closed orbits in homology classes. 92m:58102 

Kitchens, Bruce see Ashley, Jonathan; et al., 92k:58198 

Labourie, Francois see Benoist, Yves; et al., 92b:58165; 92c:58099 and 92e:58149 

Langevin, Rémi see Cascon, Ana, 92h:58151 

Lerman, L.M. Complex dynamics and bifurcations in a Hamiltonian system having a 
transversal homoclinic orbit to a saddle focus. 92h:58152 

Lewowicz, Jorge Expansive homeomorphisms of surfaces. 92i:58139 

MacKay, R.S. see Davis, Michael J.; et al., 92g:58099 

Maiié, Ricardo The Hausdorff dimension of horseshoes of diffeomorphisms of surfaces. 
92k:58200 

Marko, Frantisek see Fila, Marek, 92b:58167 

Matsumoto, Shigenori see Inaba, Takashi, 92e:58153 

Mendes, Pedro A metric property of Cherry vector fields on the torus. 92d:58161 

Moriyasu, Kazumine The extension of dominated splittings for C'-regular maps. 
92m:58103 

— see also Aoki, Nobuo, 92c:58098 and Sakai, Kazuhiro; et al., 92g:58101 

Nusse, Helena E. (with Yorke, James A.) Analysis of a procedure for finding numerical 
trajectories close to chaotic saddle hyperbolic sets. 92e:58154 

Oka, Masatoshi Expansive flows on 3-manifolds have Markov families. 92e:58155 

— see also Harada, Makio, 92f:58127 

Olvera, Arturo (with Sim6, Carles) The dynamics near invariant Cantorian sets of 
perturbed twist maps. 92c:58102 

Ombach, Jerzy Sinks, sources and saddles for expansive flows with the pseudo-orbits tracing 
property. 92c:58103 

Palis, J. Centralizers of diffeomorphisms. (see 92m:58036) 

Pliss, V. A. Relaxation oscillations in systems with switching. (Russian) 92j:58079 

— The existence of a hyperbolic integral set of a special periodic system. (Russian) 
92£:58128 

Rom-Kedar, Vered Transport rates of a class of two-dimensional maps and flows. 92b:58169 

Sakai, Kazuhiro (with Aoki, Nobuo; Moriyasu, Kazumine) c-expansive differentiable maps. 
92g:58101 

Sannami, Atsuro see Davis, Michael J.; et al., 92g:58099 

Séré, Eric Existence of infinitely many homoclinic orbits in Hamiltonian systems. 
92k:58201 

Shil/nikov, L. P. Multidimensional Hamiltonian chaos. 92m:58104 

Sim6, Carles see Olvera, Arturo, 92c:58102 

Sinai, Ya.G. Hyperbolic billiards. 92m:58105 

Smale, Stephen Dynamics retrospective: great problems, attempts that failed. 92k:58202 

Solodov, V. V. Topological problems in the theory of dynamical systems. (Russian) 
92k:58203 

Stafford, Matthew see Ashley, Jonathan; et al., 92k:58198 

Steinlein, Heinrich (with Walther, Hans-Otto) Hyperbolic sets, transversal homoclinic 
trajectories, and symbolic dynamics for C'-maps in Banach spaces. 92b:58170 

Sunada, Toshikazu see Katsuda, Atsushi, 92m:58102 

Tangerman, F.M. see Veerman, J. J. P., 92k:58205 

Tanikawa, Kiyotaka see Yamaguchi, Yoshihiro, 92h:58153 and 92i:58140 

Thomas, Romeo F. Canonical coordinates and the pseudo-orbit tracing property. 92e:58156 

Urbatiski, Mariusz The Hausdorff dimension of the set of points with nondense orbit under 
a hyperbolic dynamical system. 92k:58204 

Veerman, J. J.P. (with Tangerman, F. M.) Intersection properties of invariant manifolds 
in certain twist maps. 92k:58205 

Vul, E. B. Some numerical studies of dynamical systems. 92e:58157 

Walther, Hans-Otto see Steinlein, Heinrich, 92b:58170 

Wiggins, Stephen see Kaper, Tasso J., 92j:58078 

Yamaguchi, Yoshihiro (with Tanikawa, Kiyotaka) New type of heteroclinic tangency in 
two-dimensional maps. 92h:58153 

— (with Tanikawa, Kiyotaka) Heteroclinic intersection without the first tangency in two- 
dimensional maps. 92i:58140 

Yorke, James A. see Nusse, Helena E., 92e:58154 

Zheng, Zhi Ming On the extension of Smale-Birkhoff homoclinic theorem. 92g:58102 


Items listed otherwise than by author 

Dynamical systems * J[uHamMau4eckue cucTeMBI. 9. (Russian) [Dynamical systems. 9] 
92g:58103 

Itogi Nauki i Tekhniki * JJunHamuyeckue cuctemni. 9. (Russian) [Dynamical systems. 9] 
92g:58103 


Items with secondary classifications in 58F15 

Baladi, V. Gibbs states and equilibrium states for finitely presented dynamical systems. 
92i:58097 

Bauer, Max An upper bound for the least dilatation. 92g:57024 

— Examples of pseudo-Anosov homeomorphisms. 92g:57025 

Bedford, Eric (with Smillie, John) Polynomial diffeomorphisms of C?: currents, equilib- 
rium measure and hyperbolicity. 92a:32035 

Beloqui, J. (with Pacifico, M. J.) Quasi-transversal saddle-node bifurcation on surfaces. 

92a:58104 


58F Ordinary differential equations on manifolds; dynamical systems 


58F15 






Biragov, V.S. (with Shil/nikov, L. P.) On the bifurcation of the saddle-focus loop in a three- 
dimensional conservative dynamical system. (Russian) 92d:58146 

Brucks, K. M. (with Misiurewicz, Michal; Tresser, Charles) Monotonicity properties of the 
family of trapezoidal maps. 92e:58108 

Brunovsky, Pavol (with TereStak, Ignac) Regularity of invariant manifolds. 92j:58095 

Bunimovich, L. A. (with Sinai, Ya. G.; Chernov, N. I.) Statistical properties of two- 
dimensional hyperbolic billiards. (Russian) 92k:58151 

Chernov, N. I. see Bunimovich, L. A.; et al., 92k:58151 

Choi, Sung Kyu (with Park, Jong Suh) Hyperbolic flows are topologically stable. 92a:58078 

Chumak, M. L. (with Stépin, A.M.) Partial hyperbolicity of G-induced flows. 92k:58206 

Collet, Pierre (with Isola, Stefano) On the essential spectrum of the transfer operator for 
expanding Markov maps. 92h:58157 

Cvitanovi¢, Predrag (with Eckhardt, Bruno) Periodic orbit expansions for classical smooth 
flows. 92f:58139 

Dovbysh, S. A. Splitting of separatrices of unstable uniform rotations and nonintegrability 
of a perturbed Lagrange problem. (Russian) 92d:70005 

Easton, Robert W. Transport through chaos. 924:58103 

Eckhardt, Bruno see Cvitanovi¢é, Predrag, 92f:58139 

Fetkan, Michal Asymptotic behavior of stable manifolds. 92d:34094 

Fontich, E. On the existence of homoclinic points for conservative diffeomorphisms. 
924:58178 

Golse, Francois Moyennisation des champs de vecteurs et EDP. [The averaging of vector 
fields and PDEs] 92a:35017 

Gonchenko, S. V. On a two-parameter family of systems close to a system with a nonrough 
homoclinic curve. I [translation of Methods of the qualitative theory of differential 
equations (Russian), 55-72, Gor'kov. Gos. Univ., Gorki, 1985]. 92b:58160 

Géra, Pawel Countably piecewise expanding transformations without absolutely continuous 
invariant measure. 92c¢:58063 

Haydn, Nicolai T. A. Gibbs’ functionals on subshifts. 92b:58128 

Hirsch, Morris W. Systems of differential equations that are competitive or cooperative. VI. 
A local C’ closing lemma for 3-dimensional systems. 92k:58140 

Hurder, Steven (with Katok, Anatole) Differentiability, rigidity and Godbillon-Vey classes 
for Anosov flows. 92b:58179 

Ikeda, Hiroshi? On infinitesimal stability of endomorphisms. 92e:58114 

Isola, Stefano see Collet, Pierre, 92h:58157 

Katok, Anatole (with Knieper, Gerhard; Weiss, Howard N.) Formulas for the derivative 
and critical points of topological entropy for Anosov and geodesic flows. 924:58162 

— see also Hurder, Steven, 92b:58179 

Knieper, Gerhard see Katok, Anatole; et al., 92d:58162 

Kotus, Janina The oscillating trajectories and saddles at infinity of vector fields on open 
surfaces. 92d:58097 

Kovatié, Gregor Lobe area via action formalism in a class of Hamiltonian systems. 
92k:58082 

Kramli, A. (with Simanyi, Nandor; Szasz, Domokos) The K-property of three billiard balls. 
92b:58130 

Ledrappier, F. (with Young, L.S.) Stability of Lyapunov exponents. 92i:58096 

Li, Wei Gu A generalization of Mel’nikov’s method. 92i:58155 

Liao, Shan Tao On (7, d)-contractible orbits of vector fields. 92f:58143 

Masdemont, Josep Homoclinic and heteroclinic solutions of the RTBP joining the 
triangular equilibrium points. 92a:70005 

Mielke, Alexander Locally invariant manifolds for quasilinear parabolic equations. 
921:58169 

Misiurewicz, Michal see Brucks, K. M.; et al., 92e:58108 

Moriyasu, Kazumine The topological stability of diffeomorphisms. 92g:58067 

Mosher, Lee Surfaces and branched surfaces transverse to pseudo-Anosov flows on 3- 
manifolds. 92k:57029 

Pacifico, M. J. see Beloqui, J., 92a:58104 

Palmer, Kenneth J. Existence of transversal homoclinic points in a degenerate case. 
92k:58238 

Park, Jong Suh see Choi, Sung Kyu, 92a:58078 

Parry, William (with Pollicott, Mark) Zeta functions and the periodic orbit structure of 
hyperbolic dynamics. (French summary) 92f:58141 

Pilyugin, S. Yu. * Introduction to structurally stable systems of differential equations. 
92k:58145 

Pliss, V. A. The nonwandering set of a special system of differential equations. 92f:58148 

Pollicott, Mark see Parry, William, 92f:58141 

Rudnicki, Ryszard On a one-dimensional analogue of the Smale horseshoe. 92e:58121 

Ruelle, David An extension of the theory of Fredholm determinants. 92b:58187 

Ruggiero, Rafael Oswaldo Persistently expansive geodesic flows. 92k:58208 

Sannami, Atsuro A difference set of a Cantor set. 92:58122 

Selgrade, James F. Limits of heteroclinic orbits in a competitive model with genetic 
variation. 92b:92025 

Shereshevskii, M. A. A complement to Young’s theorem on measure dimension: the 
difference between lower and upper pointwise dimensions. 92d:58108 

Shil/nikov, L. P. see Biragov, V. S., 92d:58146 

Simdnyi, Nandor see Kramii, A.; et al., 92b:58130 

Sinai, Ya. G. see Bunimovich, L. A.; et al., 92k:58151 

Smillie, John see Bedford, Eric, 92a:32035 

Stépin, A.M. see Chumak, M. L., 92k:58206 

Szasz, Domokos see Kramli, A.; et al., 92b:58130 

Szmolyan, P. Transversal heteroclinic and homoclinic orbits in singular perturbation 
problems. 92¢:58185 

Takens, Floris Homoclinic bifurcations. (see 92m:58036) 

Terestak, Igndc see Brunovsky, Pavol, 92j:58095 

Togawa, Yoshio Bifurcations from Silnikov systems. 92d:58155 

Tresser, Charles see Brucks, K. M.; et al., 92e:58108 

Tsujii, Masato On the ergodic decomposition of hyperbolic measures. 92e:58123 

Turchetti, Giorgio Linear Cantorian approximations. 92e:58129 

Ukai, Tetsuo The visibility axiom on a manifold whose geodesic flow is of Anosov type. 

92d:58163 





58F15 


Vaienti, S. Dimensions of the attractors from thermodynamic indices. 92e:58130 
Vargas, Edson Markov partition in nonhyperbolic interval dynamics. 92d:58111 
Vetier, A. Sinai-billiard in potential field. Ergodic components. 92e:58124 

Wang, Xiao-Jing The Newhouse set has a positive Hausdorff dimension. 92a:58091 
Weiss, Howard N. see Katok, Anatole; et al., 92d:58162 

Young, L.S. see Ledrappier, F., 92i:58096 


58F17 Geodesic and horocycle flows 


Abdrakhmanov, A. M. Integrable billiards. (Russian) 92b:58171 

Adler, Roy L. (with Flatto, Leopold) Geodesic flows, interval maps, and symbolic 
dynamics. 92b:58172 

Aurich, R. (with Bogomol'nyi, E. B.; Steiner, F.) Periodic orbits on the regular hyperbolic 
octagon. 92b:58173 

Babenko, I. K. On the behavior of trajectories of scattering billiards on a flat torus. 
(Russian) 92b:58174 

Bogomolnyi, E. B. see Aurich, R.; et al., 92b:58173 

Chumak, M. L. (with Stépin, A.M.) Partial hyperbolicity of G-induced flows. 92k:58206 

Craig, Walter Floquet exponents for Jacobi fields. 92f:58129 

Flatto, Leopold see Adler, Roy L., 92b:58172 

Guivare’h, Yves (with Le Jan, Yves) Sur l’enroulement du flot géodésique. (English 
summary) [On the winding of the geodesic flow] 92b:58175 

Igoshin, V. A. Pulverization modeling of quasigeodesic flows. (Russian) 92k:58207 

Kaimanovich, V. A. Invariant measures of the geodesic flow and measures at infinity on 
negatively curved manifolds. (French summary) 92b:58176 

Katok, Anatole (with Knieper, Gerhard; Weiss, Howard N.) Formulas for the derivative 
and critical points of topological entropy for Anosov and geodesic flows. 92d:58162 

K"nchev, Rumen D. Spatial billiards. (Bulgarian. English summary) 92f:58130 

Knieper, Gerhard see Katok, Anatole; et al., 92d:58162 

Ledrappier, F. Harmonic measures and Bowen-Margulis measures. 92a:58107 

Le Jan, Yves see Guivarc’h, Yves, 92b:58175 

Leuzinger, Enrico Les lois des sinus des espaces symétriques S de rang | et l’application 
moment de 7*S. (English summary) [The laws of sines for symmetric spaces S of rank 1 
and the moment map of 7*S] 92i:58141 

Montesinos, Angel J. Sur les variétés riemanniennes a flot géodésique topologiquement 
transitif. [Riemannian manifolds with totally transitive geodesic flows] 92i:58142 

Nagy, Péter T. Dynamical invariants of rigid motions on the hyperbolic plane. 92b:58177 

Paternain, Gabriel Entropy and completely integrable Hamiltonian systems. 92b:58178 

Pollicott, Mark Homology and closed geodesics in a compact negatively curved surface. 
92e:58158 

Ruggiero, Rafael Oswaldo Persistently expansive geodesic flows. 92k:58208 

— On the creation of conjugate points. 92i:58143 

Starkov, A. N. Horospherical flows on homogeneous finite-volume spaces. (Russian) 
92£:58131 

Steiner, F. see Aurich, R.; et al., 92b:58173 

Stépin, A.M. see Chumak, M. L., 92k:58206 

Ukai, Tetsuo The visibility axiom on a manifold whose geodesic flow is of Anosov type. 
924d:58163 

Weiss, Howard N. see Katok, Anatole; et al., 92d:58162 


Items with secondary classifications in 58F17 

Alber, Mark S. Hyperbolic geometric asymptotics. 92k:58268 

Benoist, Yves (with Foulon, Patrick; Labourie, Francois) Flots d’Anosov a distributions de 
Liapounov différentiables. I. [Anosov flows with differentiable Lyapunov distributions. I] 
92e:58149 

— (with Foulon, Patrick; Labourie, Francois) Flots d’Anosov a distributions stable et 
instable différentiables. (English summary) [Anosov flows with smooth stable and 
unstable foliations] 92b:58165 

Blekher, P.M. Quasiclassical expansions and the problem of quantum chaos. 92g:81046 


Bonahon, Francis Earthquakes on Riemann surfaces and on measured geodesic laminations. 


92f:57021 

Chi, Quo-Shin Besicovitch covering lemma, Hadamard manifolds, and zero entropy. 
92k:53063 

Drager, Lance D. (with Foote, Robert L.; Martin, Clyde Franklin) Observing the heat 
equation on a torus along a dense geodesic. 92g:58123 

Eloranta, Kari Alpha-congruence for dispersive billiards. 92k:58156 

Feres, Renato (with Katok, Anatole) Anosov flows with smooth foliations and rigidity of 
geodesic flows on three-dimensional manifolds of negative curvature. 92e:58150 

Foote, Robert L. see Drager, Lance D.; et al., 92g:58123 

Foulon, Patrick see Benoist, Yves; et al., 92b:58165 and 92e:58149 

Harder, Steven (with Katok, Anatole) Differentiability, rigidity and Godbillon-Vey classes 
for Anosov flows. 92b:58179 

Igoshin, V. A. Homomorphisms of quasigeodesic flows of the second degree. (Russian) 
924d:53018 

Juhl, A. Quantized geodesic flow and the Selberg trace formula. I. 92g:58129 

Katok, Anatole see Hurder, Steven, 92b:58179 and Feres, Renato, 92e:58150 

Korsch, H. J. (with Lang, J.) Corrigendum: “A new integrable gravitational billiard” [J. 
Phys. A 24 (1991), no. 1, 45-52; MR 91j:70014]. 

Labourie, Francois see Benoist, Yves; et al., 92b:58165 and 92e:58149 

Lang, J. see Korsch, H. J. 

Margulis, G. A. Compactness of minimal closed invariant sets of actions of unipotent 
groups. 92f:22018 

Martin, Clyde Franklin see Drager, Lance D.; et al., 92g:58123 

Mather, John N. Differentiability of the minimal average action as a function of the 
rotation number. 92j:58061 

Mayer, Dieter H. On the location of poles of Ruelle’s zeta function for Gauss map. 
924:58165 

Moscovici, Henri (with Stanton, Robert J.) R-torsion and zeta functions for locally 
symmetric manifolds. 92i:58199 

Nakada, Hitoshi Geodesic flows and Diophantine approximations. 92d:11070 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 1992 1018 


Ornstein, Donald S. (with Weiss, Benjamin) Statistical properties of chaotic systems. 
92g:58112 

Park, Kyewon Koh GL(2, Z) action on a two torus. 92g:58072 

Pollicott, Mark Distributions at infinity for Riemann surfaces. 92e:58162 

— Agmon’s complex Tauberian theorem and closed orbits for hyperbolic and geodesic flows. 
92g:58104 

Stanton, Robert J. see Moscovici, Henri, 92i:58199 

Tzanakis, C. Liouville’s theorem and the definition of volume on the tangent bundle of 
space-time. 92h:58074 

Weiss, Benjamin see Ornstein, Donald S., 92g:58112 

Zelditch, Steven Geodesics in homology classes and periods of automorphic forms. 
92£:11072 


58F18 Relations with foliations 


Adams, S. R. Superharmonic functions on foliations. 92f:58132 

Andrade, Placido (with Pereira, Maria do Socorro) On the cohomology of one-dimensional 
foliated manifolds. 92k:58209 

Bis, Andrzej Entropy of transverse foliations. (Polish summary) 92f:58133 

Chow, Shui-Nee (with Lin, Xiao-Biao; Lu, Kening) Smooth invariant foliations in infinite- 
dimensional spaces. 92k:58210 

El Kacimi-Alaoui, Aziz Examples of foliations and problems in transverse complex analysis. 
92k:58211 

Hurder, Steven (with Katok, Anatole) Differentiability, rigidity and Godbillon-Vey classes 
for Anosov flows. 92b:58179 

Katok, Anatole see Hurder, Steven, 92b:58179 

Kubarski, Jan About Stefan’s definition of a foliation with singularities: a reduction of the 
axioms. (French summary) 92j:58080 

Langevin, Rémi (with Walczak, Pawet G.) Entropie d’une dynamique. (English summary) 
[Entropy of adynamic] 92¢:58159 

Lin, Xiao-Biao see Chow, Shui-Nee; et al., 92k:58210 

Lu, Kening see Chow, Shui-Nee; et al., 92k:58210 

Masur, Howard (with Smillie, John) Hausdorff dimension of sets of nonergodic measured 
foliations. 92j:58081 

Matsumoto, Shigenori (with Sato, Atsushi) Perturbation of the Hopf flow and transverse 
foliations. 92h:58154 

Mosher, Lee Correction to: “Equivariant spectral decomposition for flows with a Z- 
action” [Ergodic Theory Dynamical Systems 9 (1989), no. 2, 329-378; MR 90j:58117]. 
92h:58155 

Oka, Masatoshi Singular foliations on cross-sections of expansive flows on 3-manifolds. 
92:58134 

Pereira, Maria do Socorro see Andrade, Placido, 92k:58209 

Sato, Atsushi see Matsumoto, Shigenori, 92h:58154 

Smillie, John see Masur, Howard, 92j:58081 

Walczak, Pawel G. see Langevin, Rémi, 92e:58159 

Zhukova, N. 1. Global stability of foliations with second-order differential equations on 
leaves. (Russian) 92e:58160 


Items with secondary classifications in 58F18 


Arraut, J. L. (with Moreira dos Santos, Nathan) Linear foliations of 7". 92m:57035 

Brucks, K. M. (with Misiurewicz, Michal; Tresser, Charles) Monotonicity properties of the 
family of trapezoidal maps. 92¢:58108 

Brylinski, Jean-Luc Noncommutative Ruelle-Sullivan type currents. 92e:57044 

Canille Martins, Julio Cesar Holomorphic flows in C3, 0 with resonances. 92e:32016 

Cantwell, John (with Conlon, Lawrence) Correction to: “Leafwise hyperbolicity of 
proper foliations” [Comment. Math. Helv. 64 (1989), no. 2, 329-337; MR 90f:57035]. 
92k:57052 

Conlon, Lawrence see Cantwell, John, 92k:57052 

Ghys, Etienne Flots transversalement affines et tissus feuilletés. [Transversally affine flows 
and foliated webs] 92i:57026 

Gémez-Mont, Xavier (with Lins Neto, Alcides) Structural stability of singular holomorphic 
foliations having a meromorphic first integral. 92j:32114 

Hasselblatt, Boris Bootstrapping regularity of the Anosov splitting. 92i:58138 

Hector, Gilbert (with Hirsch, Ulrich) * Introduction to the geometry of foliations. Part B. 
92£:57037 

Hirsch, Ulrich see Hector, Gilbert, 92f:57037 

Inaba, Takashi (with Matsumoto, Shigenori) Nonsingular expansive flows on 3-manifolds 
and foliations with circle prong singularities. 92e:58153 

Kramli, A. (with Simanyi, Nandor; Szész, Domokos) The K-property of three billiard balls. 
92b:58130 

— (with Simanyi, Nandor; Szasz, Domokos) Erratum: “A ‘transversal’ fundamental theorem 
for semi-dispersing billiards” [Comm. Math. Phys. 129 (1990), no. 3, 535-560; MR 
91b:58125]. 92e:58119 

Lins Neto, Alcides see Gémez-Mont, Xavier, 92j:32114 

Matsumoto, Shigenori (with Sato, Atsushi) Flows and transverse foliations. 92c:57026 

— see also Inaba, Takashi, 92e:58153 

Minakawa, Hiroyuki Transversely piecewise linear foliation by planes and cylinders; PL 
version of a theorem of E. Ghys. 92m:57036 

Misiurewicz, Michal see Brucks, K. M.; et al., 92e:58108 

Moreira dos Santos, Nathan see Arraut, J. L., 92m:57035 

Moser, Jiirgen On commuting circle mappings and simultaneous Diophantine approxima- 
tions. 92e:58120 

Moussu, R. (with Roche, Claude André) Théorie de Hovanskii et probléme de Dulac. 
[Khovanskii’s theory and the Dulac problem] 92¢:58169 

Nakayama, Hiromichi Transversely affine foliations of some surface bundles over S! of 
pseudo-Anosov type. (French summary) 92k:57055 

Roche, Claude André see Moussu, R., 92e:58169 

Sato, Atsushi see Matsumoto, Shigenori, 92c:57026 

Senn, W. Uber Mosers regularisiertes Variationsproblem fiir minimale Blatterungen des n- 
dimensionalen Torus. (English summary) [On Moser’s regularized variational problem 





1019 1992 


for minimal foliations of the n-dimensional torus] 92f:58042 

Simanyi, Nandor see Kramii, A.; et al., 92b:58130 and 92e:58119 

Solodov, V. V. Topological problems in the theory of dynamical systems. (Russian) 
92k:58203 

Suzuki, Haruo Holonomy groupoids of generalized foliations. II. Transverse measures and 
modular classes. 92f:57039 

Szisz, Domokos see Kramli, A.; et al., 92b:58130 and 92e:58119 

Tresser, Charles see Brucks, K. M.; et al., 92e:58108 


58F19 Eigenvalue and spectral problems 


Albeverio, Sergio (with Seba, Petr) Wave chaos in quantum systems with point interaction. 
92h:58156 

Bartuccelli, M. Cantori spectra for the sawtooth map. 92i:58144 

Belokolos, E. D. Spectral theory of finite-gap potentials. 92j:58082 

Berezanskii, Yu. M. Inverse problems of spectral analysis and the integration of nonlinear 
equations. 92b:58180 

Collet, Pierre (with Isola, Stefano) On the essential spectrum of the transfer operator for 
expanding Markov maps. 92h:58157 

Ercolani, Nichalas M. (with McLaughlin, David W.) Toward a topological classification of 
integrable PDEs. 92£:58135 

Frangoise, J.-P. (with Guillemin, Victor) On the period spectrum of a symplectic mapping. 
92j:58083 

Guillemin, Victor see Francoise, J.-P., 92j:58083 

Hirata, Masaki (with Takahashi, Yoichird) Spectrum of Perron-Frobenius operator. 
92e:58161 

Isola, Stefano see Collet, Pierre, 92h:58157 

Kappeler, Thomas Fibration of the phase space for the Korteweg-de Vries equation. (French 
summary) 92k:58212 

Khristov, E. Kh. see Zhidkov, E. P., 92i:58145 

McLaughlin, David W. see Ercolani, Nicholas M., 92:58135 

Pollicott, Mark Distributions at infinity for Riemann surfaces. 92e:58162 

— Some applications of thermodynamic formalism to manifolds with constant negative 
curvature. 92f:58136 

Schilling, Randolph James The augmented divisor and isospectral pairs. 92f:58137 

Seba, Petr see Albeverio, Sergio, 92h:58156 

Takahashi, Yoichird see Hirata, Masaki, 92e:58161 

Xie, Han Guang Deformation of structure and spectrum of evolution equations. (Chinese. 
English summary) 92k:58213 

Zelditch, Steven Quantum transition amplitudes for ergodic and for completely integrable 
systems. 92b:58181 

Zhidkov, E. P. (with Khristov, E. Kh.) Spectral problems of mathematical physics related 
to nonlinear equations of the KdV type. (Russian. English summary) 92i:58145 


Items with secondary classifications in 58F19 


Adhikari, R. (with Dutt, Ranabir; Varshni, Y. P.) Exact solutions for nonpolynomial 
potentials in N-space dimensions using a factorization method and supersymmetry. 
92a:81042 

Alekseev, G. A. Isomonodromy deformations and integrability of electrovacuum Einstein- 
Maxwell field equations with isometries. 92k:83029 

Amar, V. (with Pauri, M.; Scotti, A.) Schrédinger equation for convex plane polygons: a 
tiling method for the derivation of eigenvalues and eigenfunctions. 92i:81034 

Aomoto, Kazuhiko Point spectrum on a quasihomogeneous tree. 92g:47042 

Azam, M. see Biswas, Debabrata; et al., 92d:81030 

Beals, Richard (with Sattinger, D. H.) Complete integrability of “completely integrable” 
systems. 92k:58100 

— (with Sattinger, D. H.) On the complete integrability of completely integrable systems. 
92m:58051 

Biswas, Debabrata (with Azam, M.; Lawande, Suresh V.) Spectral rigidity for degenerate 
integrable systems. 92d:81030 

Boiti, M. (with Leon, Jéréme Jp.; Pempinelli, F.) Multidimensional solitons and their 
spectral transforms. 92b:35129 

Brockett, Roger W. (with Faibusovich, L. E.) Toda flows, inverse spectral transform and 
realization theory. 92b:58216 

Brousseau, V. Espaces de Krein et index des systémes hamiltoniens. (English summary) 
[Krein spaces and the index of Hamiltonian systems] 92¢:58067 

Calogero, F. (with Degasperis, A.) Spectral transform and solitons: how to solve and 
investigate nonlinear evolution equations. (see 92i:58001) 

Can, Mehmet see Khan, Tariq M., 92b:34005 and 92b:34006 

Chen, Hsing Hen see Chin, Chou Hsin, 92e:58087 

Chin, Chou Hsin (with Chen, Hsing Hen) On spinor representation of the infinite- 
dimensional Grassmannian. 92e:58087 

Cvitanovié, Predrag Periodic orbits as the skeleton of classical and quantum chaos. 
92k:58214 

Degasperis, A. see Calogero, F., (92i:58001) 

Dubrovskii, V.G. see Konopel’chenko, B. G., 92k:35244 

Dutt, Ranabir see Adhikari, R.; et al., 92a:81042 

Eckmann, Jean-Pierre (with Wayne, C. E.) Propagating fronts and the center manifold 
theorem. 92e:58198 

Faibusovich, L. E. see Brockett, Roger W., 92b:58216 

Fokas, Athanassios S. Integrable nonlinear equations. 92j:58048 

Fordy, Allan P. Energy dependent spectral problems: their Hamiltonian structures and 
Miura maps. 92a:58065 

Franks, John (with Llibre, Jaume) Periods of surface homeomorphisms. 92j:58085 

Geng, Xian Guo A quintic Hamiltonian system that generates the reflectionless potential of 
the Jaulent-Miodek equation. (Chinese) 92d:35277 

Gieseker, D. (with Knérrer, Horst; Trubowitz, Eugene) An overview of the geometry of 
algebraic Fermi curves. 92i:14026 

Grinevich, P.G. (with Krichever, los. M.) Algebraic-geometry methods in soliton theory. 
(see 92:58090) 


58F Ordinary differential equations on manifolds; dynamical systems 


Hasegawa, Hiroshi H. see Prigogine, Ilya; et al., 92g:58090 

Howard, James E. Spectral stability of relative equilibria. 92d:70012 

Khan, Tariq M. (with Can, Mehmet) The initial value problem and some special solutions 
of the fourth Painlevé equation. (Turkish summary) 92b:34005 

— (with Can, Mehmet) On the special solutions of the second Painlevé equation. (Turkish 
summary) 92b:34006 

Knorrer, Horst see Gieseker, D.; et al., 92i:14026 

Konopel’chenko, B. G. Soliton eigenfunction equations: the IST integrability and some 
properties. 92g:58051 

— (with Dubrovskii, V. G.) Inverse spectral transform for the modified Kadomtsev- 
Petviashvili equation. 92k:35244 

Krichever, Ios. M. see Grinevich, P. G., (92f:58090) 

Kus, Marek (with Zakrzewski, Jakub; Zyczkowski, Karol) Quantum scars on a sphere. 
92h:81049 

Lawande, Suresh V. see Biswas, Debabrata; et al., 92d:81030 

Lebedev, D. R. (with Pakulyak, S. Z.) Zakharov-Shabat technique with quantized spectral 
parameter in the theory of integrable models. 92k:58120 

Leon, Jéréme Jp. see Boiti, M.; et al., 92b:35129 

Li, Yi Shen see Zeng, Yun Bo, 92b:58112 

Llibre, Jaume see Franks, John, 92j:58085 

Novitskii, M. V. On a complete description of the principal discrete series of spectral 
invariants of the Hill operator. (see 92c:00015) 

Pakulyak, S. Z. see Lebedev, D. R., 92k:58120 

Pauri, M. see Amar, V.; et al., 92i:81034 

Pempinelli, F. see Boiti, M.; et al., 92b:35129 

Petrosky, Tomio Y. see Prigogine, Ilya; et al., 92g:58090 

Prigogine, Ilya (with Petrosky, Tomio Y.; Hasegawa, Hiroshi H.; Tasaki, S.) Integrability 
and chaos in classical and quantum mechanics. 92g:58090 

Ruelle, David An extension of the theory of Fredholm determinants. 92b:58187 

Sakhnovich, A. L. The N-wave problem on the half-line. (Russian) 92j:35182 

Sattinger, D. H. see Beals, Richard, 92k:58100 and 92m:58051 

Schilling, Randolph James Multiple Hamiltonian structures and soliton equations with 
explicit x-dependence. 92k:58126 

Schwarz, Martin, Jr. Commuting flows and invariant tori: Korteweg-de Vries. 92k:58127 

Scotti, A. see Amar, V.; et al., 92i:81034 

Tasaki, S. see Prigogine, Ilya; et al., 92g:58090 

Trubowitz, Eugene see Gieseker, D.; et al., 92i:14026 

Ushveridze, A.G. Gel'fand-Levitan equation and quasi-exact solvability. 92a:81026 

Varshni, Y. P. see Adhikari, R.; et al., 92a:81042 

Wang, Zhi Hong Reduction enumeration and the Hamiltonian structure of reduced 
equations. (Chinese. English summary) 92e:35051 

Wayne, C. E. see Eckmann, Jean-Pierre, 92¢:58198 

Zakrzewski, Jakub see Kus, Marek; et al., 92h:81049 

Zeng, Yun Bo (with Li, YiShen) Integrable Hamiltonian systems related to the polynomial 
eigenvalue problem. 92b:58112 

— Gauge transformation and bi-Hamiltonian structure of a finite-dimensional integrable 
system reduced from a soliton equation. 92h:58099 

Zyczkowski, Karol see Kus, Marek; et al., 92h:81049 


58F20 Periodic points and zeta functions 


Alpern, Steve (with Prasad, V.S.) Fixed points of area-preserving annulus homeomor- 
phisms. (French summary) 92h:58158 

Amritkar, R. E. (with Gade, P. M.; Gangal, A. D.; Nandakumaran, V. M.) Stability of 
periodic orbits of coupled-map lattices. 92f:58138 

Artuso, Roberto (with Aurell, Erik; Cvitanovi¢, Predrag) Recycling of strange sets. I. Cycle 
expansions. 92¢:58104 

— (with Aurell, Erik; Cvitanovi¢, Predrag) Recycling of strange sets. II. Applications. 
92c¢:58105 

Aurell, Erik see Artuso, Roberto; et al., 92c:58104 and 92c:58105 

Bae, Jong Sook (with Sung, Nak So) An example of a partially ordered Sharkovsky space. 
92a:58108 

Baldwin, Stewart Sets of periodic points of functions on trees. (see 92a:00038) 

— An extension of Sarkovskii’s theorem to the n-od. 92h:58159 

Bernhardt, C. (with Coven, Ethan M.; Misiurewicz, Michal; Mulvey, I.) Comparing 
periodic orbits of maps of the interval. 92m:58106 

Bivins, R. L. (with Louck, J. D.; Metropolis, N.; Stein, M. L.) Classification of all cycles of 
the parabolic map. 92j:58084 

Block, Louis (with Coven, Ethan M.) Approximating entropy of maps of the interval. 
92¢:58106 

Bogatyi, S. A. Periodic points of mappings on an interval. (Russian) 92a:58109 

Chernov, N. I. (with Galeeva, R. F.) * Growth rate of number of periodic points in 
countable chains. 924:58164 

— see also Galeeva, R. F., 92k:58215 

Coven, Ethan M. see Block, Louis, 92c:58106 and Bernhardt, C.; et al., 92m:58106 

Cvitanovi¢, Predrag (with Eckhardt, Bruno) Periodic orbit expansions for classical smooth 
flows. 92f:58139 

— Periodic orbits as the skeleton of classical and quantum chaos. 92k:58214 

— see also Artuso, Roberto; et al., 92c:58104 and 92c:58105 

Eckhardt, Bruno see Cvitanovi¢é, Predrag, 92f:58139 

Efremova, L.S. On the nonwandering set and center of triangular mappings with a closed set 
of periodic points on the base. (Russian) 92c:58107 

Erbe, Lynn H. (with Geba, Kazimierz; Krawcewicz, W.) Equivariant fixed point index and 
the period-doubling cascades. 92m:58107 

Fel’shtyn, A. L. The Reidemeister zeta function and the computation of the Nielsen zeta 
function. 92f:58140 

Franks, John Periodic points and rotation numbers for area preserving diffeomorphisms of 
the plane. 92b:58182 

— (with Llibre, Jaume) Periods of surface homeomorphisms. 92j:58085 

Gade, P.M. see Amritkar, R. E.; et al., 92f:58138 





58F20 


Galeeva, R. F. (with Chernov, N. I.) Conditions for the strict exponential growth of the 
number of cycles in countable directed graphs. (Russian) 92k:58215 

— see also Chernov, N. I., 92d:58164 

Gangal, A. D. see Amritkar, R. E.; et al., 92f:58138 

Geba, Kazimierz see Erbe, Lynn H.; et al., 92m:58107 

Geller, William (with Tolosa, Juan) Maximal entropy odd orbit types. 92e:58163 

Gilbert, A. D. Global dynamics of a planar mapping exhibiting orbits of periods 1,2, 3 and 
no chaos. 92b:58183 

Golé, Christophe Monotone maps of T” x R" and their periodic orbits. 92k:58216 

Hall, Toby Unremovable periodic orbits of homeomorphisms. 92i:58146 

Hasegawa, Hiroshi H. (with Saphir, William C.) Nonequilibrium statistical mechanics of 
the baker map: Ruelle resonances and subdynamics. 92k:58217 

Keating, Jonathan Peter Asymptotic properties of the periodic orbits of the cat maps. 
92m:58108 

Krawcewicz, W. see Erbe, Lynn H.; et al., 92m:58107 

Krieger, Wolfgang (with Marcus, Brian H.; Tuncel, Selim) On automorphisms of Markov 
chains. 92m:58109 

Li, Shi Hai Relations between chain recurrent points and turning points on the interval. 
92h:58160 

Llibre, Jaume (with MacKay, R.S.) Rotation vectors and entropy for homeomorphisms of 
the torus isotopic to the identity. 92b:58184 

— see also Franks, John, 92j:58085 

Louck, J. D. see Bivins, R. L.; et al., 92j:58084 

MacKay, R.S. see Liibre, Jaume, 92b:58184 

Mai, Jie Hua Pointwise periodic self-maps of subspaces of 2-dimensional manifolds. 
92e:58164 

Marcus, Brian H. see Krieger, Wolfgang; et al., 92m:58109 

Mayer, Dieter H. On the location of poles of Ruelle’s zeta function for Gauss map. 
924:58165 

Metropolis, N. see Bivins, R. L.; et al., 92j:58084 

Misiurewicz, Michal Formalism for studying periodic orbits of one-dimensional maps. 
92b:58185 

— (with Ziemian, Krystyna) Cycles for degree —1 circle maps. 92b:58186 

— see also Bernhardt, C.; et al., 92m:58106 

Mulvey, I. see Bernhardt, C.; et al., 92m:58106 

Nandakumaran, V. M. see Amritkar, R. E.; et al., 92f:58138 

Parry, William (with Pollicott, Mark) Zeta functions and the periodic orbit structure of 
hyperbolic dynamics. (French summary) 92:58141 

Pollicott, Mark A note on the Artuso-Aurell-Cvitanovic approach to the Feigenbaum 
tangent operator. 924:58166 

— Agmon’s complex Tauberian theorem and closed orbits for hyperbolic and geodesic flows. 
92g:58104 

— see also Parry, William, 92f:58141 

Prasad, V.S. see Alpern, Steve, 92h:58158 

Ringland, John (with Schell, Mark) Genealogy and bifurcation skeleton for cycles of the 
iterated two-extremum map of the interval. 92h:58161 

Ruelle, David An extension of the theory of Fredholm determinants. 92b:58187 

Saphir, William C. see Hasegawa, Hiroshi H., 92k:58217 

Schell, Mark see Ringland, John, 92h:58161 

Seifert, George On an interval map associated with a delay logistic equation with discontin- 
uous delays. 92k:58218 

Shibayama, Kenshin Connections of periodic orbits in the parameter space of the Lozi 
family. 92c:58108 

Stein, M. L. see Bivins, R. L.; et al., 92j:58084 

Stoyanov, Luchezar N. Note on the periodic points of the billiard. 92m:58110 

Sung, Nak So see Bae, Jong Sook, 92a:58108 

Tolosa, Juan see Geller, William, 92e:58163 

Tuncel, Selim see Krieger, Wolfgang; et al., 92m:58109 

Waddington, Simon The prime orbit theorem for quasihyperbolic toral automorphisms. 
92k:58219 

Wang, Lin Shan A construction method for a class of mappings with n-periodic points. 
(Chinese) 92b:58188 

Wen, Lan The C' closing lemma for endomorphisms with finitely many singularities. 
92c:58109 

Williams, R. F. Geometric theory of dynamical systems. (see 92m:58036) 

Ziemian, Krystyna see Misiurewicz, Michal, 92b:58186 


Items with secondary classifications in 58F20 

Albeverio, Sergio (with Seba, Petr) Wave chaos in quantum systems with point interaction. 
92h:58156 

Antonyuk, P. N. (with Stanyukovich, K. P.) Periodic solutions of a logistic difference 
equation. (Russian) 92f:39003 

Boyarsky, Abraham see Gora, Pawel; et al., 92g:58071 

Boyle, Mike (with Handelman, David) The spectra of nonnegative matrices via symbolic 
dynamics. 924:58057 

— (with Fiebig, Ulf-Rainer) The action of inert finite-order automorphisms on finite 
subsystems of the shift. 92g:58029 

Byers, W. see Gora, Pawel; et al., 92g:58071 

Chernov, N. I. Topological entropy and periodic points of two-dimensional hyperbolic 
billiards. (Russian) 92c¢:58101 

Collet, Pierre (with Isola, Stefano) On the essential spectrum of the transfer operator for 
expanding Markov maps. 92h:58157 

Fedorenko, V. V. see Sharkovskii, A. N., 92i:58092 

Fiebig, Ulf-Rainer see Boyle, Mike, 92g:58029 

Gedeon, TomaS (with Kuchta, Milan) Shadowing property of continuous maps. 92h:58123 

Gora, Pawel (with Byers, W.; Boyarsky, Abraham) Measures on periodic orbits for 
continuous transformations on the interval. 92g:58071 

Handelman, David see Boyle, Mike, 924:58057 

Hirata, Masaki (with Takahashi, Yoichiro) Spectrum of Perron-Frobenius operator. 
92e:58161 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Isola, Stefano see Collet, Pierre, 92h:58157 

Katsuda, Atsushi (with Sunada, Toshikazu) Closed orbits in homology classes. 92m:58102 

Kuchta, Milan see Gedeon, Tomas, 92h:58123 

Liao, Shan Tao On (7, d)-contractible orbits of vector fields. 92f:58143 

Llibre, Jaume (with MacKay, R.S.) A classification of braid types for diffeomorphisms of 
surfaces of genus zero with topological entropy zero. 92a:57019 

Luo, Lishi see Peng, Shou Li, 92f:58054 

MacKay, R.S. see Llibre, Jaume, 92a:57019 

Messano, Basilio Global convergence and nonexistence of periodic points of period 4. 
92a:39009 

Misiurewicz, Michal (with Ziemian, Krystyna) Rotation sets and ergodic measures for 
torus homeomorphisms. 924:58106 

Moscovici, Henri (with Stanton, Robert J.) R-torsion and zeta functions for locally 
symmetric manifolds. 92i:58199 

Norris, D.O. (with Soewono, E.) Period doubling and chaotic behavior of solutions to 
y(t) = wy(t)(1 — y(O[(t + @)/d})). 92c:58080 

Oh, Yong-Geun A symplectic fixed point theorem on 72" x CP*. 92b:58074 

Peng, Shou Li (with Luo, Lishi) The ordering of critical periodic points in coordinate space 
by symbolic dynamics. 92f:58054 

Pollicott, Mark Some applications of thermodynamic formalism to manifolds with constant 
negative curvature. 92£:58136 

— Homology and closed geodesics in a compact negatively curved surface. 92e:58158 

Seba, Petr see Albeverio, Sergio, 92h:58156 

Sharkovskii, A. N. How complicated can be one-dimensional dynamical systems: descrip- 
tive estimates of sets. 92c:58070 

— (with Fedorenko, V. V.) Types of recurrence in simple dynamical systems. (Russian) 
92i:58092 

Soewono, E. see Norris, D. O., 92c:58080 

Stanton, Robert J. see Moscovici, Henri, 92i:58199 

Stanyukovich, K.P. see Antonyuk, P. N., 92f:39003 

Sunada, Toshikazu see Katsuda, Atsushi, 92m:58102 

Takahashi, Yoichird see Hirata, Masaki, 92e:58161 

Tu, Pao Shéng On the bifurcation of periodic orbits of some generalized Hénon mappings. 
92k:58196 

Zhou, Zuo Ling Some equivalent conditions for self-mappings of a circle. (Chinese) 
92g:58075 

Ziemian, Krystyna see Misiurewicz, Michal, 924:58106 


58F21 Limit cycles, singular points, etc. 


Aranson, S. Kh. Topological invariants of vector fields on the disk on a plane with limit sets 
of Cantor type. (Russian) 92e:58165 

Berezovskaya, F.S. (with Medvedeva, N. B.) A complex singular point of the “center- 
focus” type and the Newton diagram. (Russian) 92b:58189 

Blais, Francois Fleuves critiques. (English summary) [Critical rivers] 92k:58220 

— Théoréme d’existence de fleuves. (English summary) [Existence theorem for rivers] 
92h:58162 

Calafiore, S. (with Santoro, P.) Polynomial flows in complex fields. (Italian. English 
summary) 92i:58147 

Caiias, Moisés see Urbina, A. M.; et al., 92f:58144 

Chicone, Carmen On bifurcation of limit cycles from centers. 92f:58142 

Ecalle, Jean P. Finitude des cycles-limites et accéléro-sommation de l’application de retour. 
[Finiteness of limit-cycles and accelero-summation of the return mapping] 92e:58166 

Fournier-Prunaret, Daniéle (with Mira, Christian) Harmonic synchronization area of a 
nonautonomous system with quadratic nonlinearities. (see 92d:58003) 

Gasull, Armengol Disappearance of limit cycles for some families of planar vector fields. 
92i:58148 

Gavrilov, Ljubomir (with Khorozov, E. 1.) Limit cycles and zeroes of abelian integrals 
satisfying third order Picard-Fuchs equations. 92¢:58167 

Ilyashenko, Yu. S. Finiteness theorems for limit cycles. (Russian) 92a:58110 

— * Finiteness theorems for limit cycles. 92k:58221 

— Finiteness theorems for limit cycles. 92¢:58110 

Khorozov, E. I. see Gavrilov, Ljubomir, 92e:58167 

Leén de la Barra, G. see Urbina, A. M.; et al., 92f:58144 

Leon de la Barra, M. see Urbina, A. M.; et al., 92£:58144 

Li, Ji Bin see Liu, Yi Rong; et al., 92b:58190 

Liang, Zhao Jun Topological classification of the quadratic differential systems on RP?. 
(Chinese) 92a:58111 

Liao, Shan Tao On (7, d)-contractible orbits of vector fields. 92f:58143 

Litvinenko, D. V. Generating cycles of quadratic systems with a cubic Hamiltonian. 
(Russian. English summary) 92d:58167 

Liu, Yi Rong (with Li, Ji Bin) On the singularity values of complex autonomous differential 
systems at singular points. (Chinese) 92b:58190 

MardeSié, Pavao The number of limit cycles of polynomial deformations of a Hamiltonian 
vector field. 92b:58191 

— Anexplicit bound for the multiplicity of zeros of generic Abelian integrals. 92h:58163 

(McFaden, Harold H.) see Il'yashenko, Yu. S., 92k:58221 

Medvedeva, N. B. see Berezovskaya, F. S., 92b:58189 

Mira, Christian see Fournier-Prunaret, Daniele, (92d:58003) 

Mourtada, Abderaouf Cyclicité finie des polycycles hyperboliques de champs de vecteurs 
du plan: mise sous forme normale. [Finite cyclicity in normal form of the hyperbolic 
polycycles of vector fields of the plane] 92d:58168 

— Cyclicité finie des polycycles hyperboliques du plan. (English summary) [Finite cyclicity 
of hyperbolic polycycles in the plane] 92e:58168 

Moussu, R. (with Roche, Claude André) Théorie de Hovanskii et probléme de Dulac. 
[Khovanskii’s theory and the Dulac problem] 92¢:58169 

Perko, L.M. Bifurcation of limit cycles. 92c:58111 

Roche, Claude André see Moussu, R., 92e:58169 

Romanovskii, V.G. The properties of an ideal that is generated by Lyapunov quantities. 
(Russian) 92h:58164 





1021 1992 


Rousseau, Christiane (with Zotadek, Henryk) Zeroes of complete elliptic integrals for 1 : 2 
resonance. 

Santoro, P. see Calafiore, S., 92i:58147 

Serra, Enrico (with Tarallo, Massimo) A new proof of the Poincaré-Bendixson theorem. 
92b:58192 

Shi, Song Ling On the finiteness of certain boundary cycles for nth degree polynomial 
vector fields. 92b:58193 

Tarallo, Massimo see Serra, Enrico, 92b:58192 

Urbina, A. M. (with Cafias, Moisés; Leén de la Barra, G.; Leén de la Barra, M.) Perturba- 
tions of a Hamiltonian family of cubic vector fields. 92f:58144 

Wang, Cheng Wen A new proof of Poincaré-Bendixson’s annular-region theorem. (Chinese. 
English summary) 92¢e:58170 

Ye, Wei Yin see Ye, Yan Qian; et al., 92k:58222 

Ye, Yan Qian Rotated vector fields decomposition method and its application. 92b:58194 

— (with Ye, Wei Yin) Triangulation and fundamental triangles of the phase-portraits of a 
quadratic differential system. 92k:58222 

k, Henryk see Rousseau, Christiane, 92j:58086 


Items with secondary classifications in 58F21 

Amelkin, V. V. Classification of limit cycles. (Russian) 92j:34052 

Arrowsmith, D. K. (with Place, C. M.) Examples of attracting sets of Birkhoff type. 
924:58115 

Billeke G., J. (with Burgos Vega, Hernan; Wallace C., Myrna) Some theorems on the 
nonexistence, uniqueness and existence of two limit cycles for the Liénard equation of 
degree five. 92j:34053 

Bryuno, A. D. On a finitely smooth linearization of a system of differential equations near a 
hyperbolic singular point. (Russian) 92j:58092 

Burgos Vega, Hernan see Billeke G., J.; et al., 92j:34053 

Cai, Sui Lin (with Ma, Hui) The center-focus decision problem for singular points of 
generalized Liénard equations. (Chinese. English summary) 92k:34031 

— see also Zhang, Ping Guang, 92j:34064 

Chicone, Carmen (with Jacobs, Marc) Bifurcation of limit cycles from quadratic 
isochrones. 92e:58143 

Clerc, René-Louis (with Hartmann, Christian; Razafimandimby, Boniface) Structures in 
conservative or dissipative dynamical systems. 92g:58094 

Field, Mike (with Swift, James W.) Stationary bifurcation to limit cycles and heteroclinic 
cycles. 92k:58191 

Forbes, Lawrence K. (with Myerscough, Mary R.; Gray, Brian F.) On the presence of 
limit-cycles in a model exothermic chemical reaction: Sal‘nikov’s oscillator with two 

Pp dependent reaction rates. 92j:80008 

Galeotti, Marcello (with Gori, Franco) Bifurcations and limit cycles in a family of planar 
polynomial dynamical systems. 92¢:34050 

Glass, Leon see Lewis, John E., 92h:92002 

Gori, Franco see Galeotti, Marcello, 92¢:34050 

Gray, Brian F. see Forbes, Lawrence K.; et al., 92j:80008 

Han, Mao An A class of limit cycles of differential equations with three singular points. 
(Chinese) 92k:34032 

— Research methods for two-dimensional Liénard systems and their results. (Chinese. 
English summary) 92m:34070 

Harrison, Jenny The loxodromic mapping problem. 92d:58170 

Hartmann, Christian see Clerc, René-Louis; et al., 92g:58094 

Il'yashenko, Yu. S. (with Khovanskii, A.G.) Galois groups, Stokes operators and a theorem 
of Ramis. (Russian) 92£:32038 

— (with Yakovenko, S. Yu.) Finitely smooth normal forms of local families of diffeomor- 
phisms and vector fields. (Russian) 92i:58165 

Jacobs, Marc see Chicone, Carmen, 92¢:58143 

Khovanskii, A.G. see Il'yashenko, Yu. S., 92f:32038 

Knobloch, Edgar see Weiss, Jeffrey B., 92a:60141 

Laidlaw, W. G. see Otwinowski, M.; et al., 92b:92062 

Lau, S. L. (with Yuen, S. W.) The Hopf bifurcation and limit cycle by the incremental 
harmonic balance method. 92j:34082 

Lewis, John E. (with Glass, Leon) Steady states, limit cycles, and chaos in models of 
complex biological networks. 92h:92002 

Liu, De Ming! Necessary and sufficient conditions of existence and uniqueness of limit 
cycles for a class of polynomial system. 92g:34034 

— Necessary and sufficient conditions for existence and uniqueness of a limit cycle for a class 
of polynomial systems. (Chinese) 92c:34035 

Lloyd, N. G. (with Pearson, Jane Margaret) Conditions for a centre and the bifurcation of 

_ limit cycles in a class of cubic systems. 92b:34039 

Ma, Hui see Cai, Sui Lin; et al., 92k:34031 

Makeev, N. G. The structure of the first return function in a neighborhood of a separatrix 
loop of a complex saddle. (Russian) 92i:34039 

Mullin, T. see Price, T. J., 92b:76054 

Myerscough, Mary R. see Forbes, Lawrence K.; et al., 92j:80008 

Otwinowski, M. (with Laidlaw, W. G.; Paul, Reginald) Structural instability and sustained 
oscillations in an extended Brusselator model. 92b:92062 

Paul, Reginald see Otwinowski, M.; et al., 92b:92062 

Pearson, Jane Margaret see Lloyd, N. G., 92b:34039 

Place, C. M. see Arrowsmith, D. K., 92d:58115 

Price, T. J. (with Mullin, T.) An experimental observation of a new type of intermittency. 
92b:76054 

Razafimandimby, Boniface see Clerc, René-Louis; et al., 92g:58094 

Reineck, James F. A connection matrix analysis of ecological models. 92j:92020 

Sacks, Elisha P. Automatic analysis of one-parameter planar ordinary differential equations 
by intelligent numeric simulation. 92¢:68185 

Shen, Bo Qian The problem of the existence of limit cycles and separatrix cycles of cubic 
curves in quadratic systems. (Chinese) 92k:34033 

— A necessary and sufficient condition for the existence of parabolic separatrix cycles in a 
quadratic system. (Chinese. English summary) 92k:34034 

Swift, James W. see Field, Mike, 92k:58191 





58F Ordinary differential equations on manifolds; dynamical systems 


Takano, Kyoichi The fixed singular points of Painlevé systems. (see 92m:00039) 

Wallace C., Myrna see Billeke G., J.; et al., 92j:34053 

Wang, Hui Feng see Zhou, Yu Rong; et al., 92f:58153 

Weiss, Jeffrey B. (with Knobloch, Edgar) A stochastic return map for stochastic differential 
equations. 92a:60141 

Yakovenko, S. Yu. see Il'yashenko, Yu. S., 92i:58165 

Yang, Xin An A survey of cubic systems. 92k:34037 

Yu, Shu Xiang Applications of the theory of isolating blocks in the planar qualitative theory 
of differential equations. (Chinese) 92e:34059 

Yuen, S. W. see Lan, S. L., 92j:34082 

Zhang, Ping Guang (with Cai, Sui Lin) Quadratic systems with a weak focus. 92):34064 

Zhou, Yu Rong (with Wang, Hui Feng) Quasi-isolating block and trajectories joining critical 
points. 92:58153 

Zhu, De Ming Cycle control functions and the number of limit cycles. 924:34065 


58F22 Periodic solutions 


Albanese, Claudio (with Frohlich, Jiirg) Perturbation theory for periodic orbits in a class of 
infinite-dimensional Hamiltonian systems. 92i:58149 

Bahri, Abbas (with Rabinowitz, Paul H.) Periodic solutions of Hamiltonian systems of 3- 
body type. 92k:58223 

Beirao da Veiga, H. Periodic solutions for a class of autonomous Hamiltonian systems. 
92c:58112 

Capozzi, Alberto (with Solimini, Sergio; Terracini, Susanna) On a class of dynamical 
systems with singular potential. 92f:58145 

Dancer, E. N. (with Toland, J. F.) Equilibrium states in the degree theory of periodic orbits 
with a first integral. 92m:58111 

Dylawerski, Grzegorz (with Geba, Kazimierz; Jodel, Jerzy; Marzantowicz, Waclaw) An S'- 
equivariant degree and the Fuller index. 92g:58105 

Fan, Xian Ling (with Wang, Bi Xiang) Remarks on periodic solutions of prescribed energy 
for singular Hamiltonian systems. 92i:58150 

Frohlich, Jiirg see Albanese, Claudio, 92i:58149 

Furi, Massimo (with Pera, Maria Patrizia) A continuation principle for the forced spherical 
pendulum. (French summary) 92f:58146 

Gaeta, Giuseppe Symmetry and periodic solutions of nonlinear dynamical systems. (see 
92b:58003) 

Geba, Kazimierz see Dylawerski, Grzegorz; et al., 92g:58105 

Girardi, Mario (with Matzeu, Michele) Convergence results for periodic solutions of 
nonautonomous Hamiltonian systems. (Italian summary) 924:58169 

— (with Matzeu, Michele) Dual Morse index estimates for periodic solutions of Hamilton- 
ian systems in some nonconvex superquadratic cases. 92k:58224 

Harrison, Jenny The loxodromic mapping problem. 924:58170 

Jodel, Jerzy see Dylawerski, Grzegorz; et al., 92g:58105 

Komuro, Motomasa Periodic and homoclinic orbits in continuous piecewise linear vector 
fields. 92g:58106 

Liao, Shan Tao On contractible periodic orbits of a class of vector fields. 92i:58151 

Lin, Xiao-Biao Using Mel/nikov’s method to solve Silnikov’s problems. 92b:58195 

Long, Yi Ming Periodic solutions of perturbed superquadratic Hamiltonian systems. 
92¢:58113 

— Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian 
systems. 92d:58171 

MacKay, R.S. Transition of the phase-resetting map for kicked oscillators. 92g:58107 

Martinez-Amores, Pedro Generic properties of forced conservative systems with periodic 
potential. (Spanish) 92f:58147 

Marzantowicz, Waclaw see Dylawerski, Grzegorz; et al., 92g:58105 

Matzeu, Michele see Girardi, Mario, 92d:58169 and 92k:58224 

Mirenghi, Elvira (with Tucci, Maria) Existence of T-periodic solutions for a class of 
Lagrangian systems. 92b:58196 

Nolte, Klaus-Georg Universal appearance of periodic orbits in the Lorenz equations. 
(French summary) 92e:58171 

Pera, Maria Patrizia see Furi, Massimo, 92f:58146 

Pliss, V. A. The nonwandering set of a special system of differential equations. 92f:58148 

Rabinowitz, Paul H. see Bahri, Abbas, 92k:58223 

Rouaissi, Ahmed Systéme hamiltonien périodique associé a l’algebre de Lie g>. (English 
summary) [Hamiltonian system with periodic orbits associated with the Lie algebra g2] 
92e:58172 

Salvadori, L. Existence and stability of bifurcating periodic solutions of planar periodic 
systems at resonance. 92j:58087 

Solimini, Sergio (with Terracini, Susanna) A multiplicity result for periodic solutions of 
autonomous conservative systems. 92f:58149 

— see also Capozzi, Alberto; et al., 92f:58145 

Stellmacher, Irene Solutions périodiques a longues périodes pour la résonance 4: | : 4. 
(English summary) [Periodic solutions with long periods for the resonance 4: | : 4] 
92e:58173 

Struwe, Michael Existence of periodic solutions of Hamiltonian systems on almost every 
energy surface. 92k:58225 

Terracini, Susanna see Capozzi, Alberto; et al., 92f:58145 and Solimini, Sergio, 92f:58149 

Timoumi, Mohsen Solutions périodiques de systtmes hamiltoniens convexes non coercitifs. 
(English summary) [Periodic solutions of noncoercive convex Hamiltonian systems] 
92m:58112 

Toland, J. F. see Dancer, E. N., 92m:58111 

Tucci, Maria see Mirenghi, Elvira, 92b:58196 

Vanderbauwhede, André Periodic and homoclinic orbits in conservative and reversible 
systems. 92e:58174 

Wang, Bi Xiang see Fan, Xian Ling, 92i:58150 

van der Weele, Ko The birth of twin Poincaré-Birkhoff chains near | : 3 resonance. 
92h:58165 

Zhu, Da Xin A geometric approach to a result of Benci and Gi 
systems with singular potentials. 92k:58226 


i for H 








58F22 


Items with secondary classifications in 58F22 

Ananich, T. I. Nonlinear periodic systems with a linear Poincaré mapping. (Russian) 
92h:34080 

Bartsch, Thomas (with Mawhin, Jean L.) The Leray-Schauder degree of S'-equivariant 
operators associated to autonomous neutral equations in spaces of periodic functions. 
92e:58029 

Bertotti, Maria Letizia Forced oscillations of singular dynamical systems with an applica- 
tion to the restricted three-body problem. 92k:34047 

Biragov, V.S. An investigation of the model equation of stationary waves in a thin layer of a 
viscous incompressible fluid. 92¢:76025 

Bountis, Tassos see Mahmoud, G. M., 92g:34046 

Brézis, Haim (with Nirenberg, Louis) Remarks on finding critical points. 92i:58032 

Brousseau, V. Espaces de Krein et index des systémes hamiltoniens. (English summary) 
[Krein spaces and the index of Hamiltonian systems] 92¢:58067 

Bryuno, A. D. Bifurcations of periodic solutions in the symmetric case of a multiple pair of 
imaginary eigenvalues. (Russian. English summary) 92e:58141 

— Normal form of a system that is close to Hamiltonian. (Russian) 92e:58187 

Canino, Annamaria Periodic solutions of Lagrangian systems on manifolds with boundary. 
92a:58026 

Capietto, Anna (with Mawhin, Jean L.; Zanolin, Fabio) Continuation theorems for periodic 
perturbations of autonomous systems. 92e:34026 

Chaperon, Marc Recent results in symplectic geometry. 92m:58042 

Chigur, I. 1. see Kozlov, Valerii V., 92k:58143 

Chua, Leon O. see Komuro, Motomasa; et al., 92j:58073 

Coti Zelati, Vittorio (with Ekeland, Ivar; Lions, Pierre-Louis) Index estimates and critical 
points of functionals not satisfying Palais-Smale. 92a:58027 

Doelman, Arjen (with Eckhaus, Wiktor) Periodic and quasi-periodic solutions of degener- 
ate modulation equations. 92m:58118 

Douraid, Daly Solutions périodiques dans un puits de potentiel. (English summary) 
[Periodic solutions in a potential well] 92d:58032 

Eckhaus, Wiktor see Doelman, Arjen, 92m:58118 

Ekeland, Ivar see Coti Zelati, Vittorio; et al., 92a:58027 

Elgin, John see Kent, Phillip, 92k:58192 

Fonda, A. (with Lazer, Alan C.) Subharmonic solutions of conservative systems with 
nonconvex potentials. 92h:34082 

Gilmore, Robert see Mindlin, G. B.; et al., 92i:58125 

Grebogi, Celso see Ott, Edward; et al., 92e:58138 

Guckenheimer, John see Kim, Seung-hwan, 924:58152 

Gunaratne, Gemunu H. Universality beyond the onset of chaos. 92f:58110 

Habets, P. (with Sanchez, Luis) Periodic solutions of dissipative dynamical systems with 
singular potentials. 92a:34040 

Han, Mao An Research methods for two-dimensional Liénard systems and their results. 
(Chinese. English summary) 92m:34070 

Han, Zheng-Chao Periodic solutions of a class of dynamical systems of second order. 
92¢:34049 

Herman, Michael-R. Exemples de flots hamiltoniens dont aucune perturbation en topologie 
C~ n’a d’orbites périodiques sur un ouvert de surfaces d’énergies. (English summary) 
{Examples of Hamiltonian flows such that no C© perturbation has a periodic orbit on an 
open set of energy surfaces] 92j:58034 

Hirsch, Morris W. Systems of differential equations that are competitive or cooperative. VI. 
A local C’ closing lemma for 3-dimensional systems. 92k:58140 

Hotta, A. see Komuro, Motomasa; et al., 92j:58073 

Hou, X.-J. see Mindlin, G. B.; et al., 92i:58125 

Kazakevich, M.1I. (with Red’‘ko, S. F.) Evolutions of domains of attraction in the nonlinear 
asymmetric Duffing system. (Russian. English summary) 

Kent, Phillip (with Elgin, John) Noose bifurcation of periodic orbits. 92k:58192 

Khanin, K. M. (with Vul, E. B.) Circle homeomorphisms with weak discontinuities. 
92j:58089 

Khatskevich, V. L. Solvability of a periodic problem for a nonlinear Hamiltonian system. 
(Russian) 92m:47127 

Kim, Seung-hwan (with Guckenheimer, John) The two-dimensional torus: numerical 
explorations and mathematical conjectures. 92d:58152 

Komuro, Motomasa (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) 
Global bifurcation analysis of the double scroll circuit. 92j:58073 

— (with Tokunaga, R.; Matsumoto, Takashi; Chua, Leon O.; Hotta, A.) Errata: “Global 
bifurcation analysis of the double scroll circuit” [Internat. J. Bifur. Chaos Appl. Sci. 
Engrg. 1 (1991), no. 1, 139-182; MR 92j:58073]. 

Kozlov, Valerii V. (with Chigur, I. 1.) On the stability of periodic trajectories of a three- 
dimensional billiard. (Russian) 92k:58143 

Lassoued, L. Periodic solutions of a second order superquadratic system with a change of 
sign in the potential. 92j:34088 

Lauritzen, B. Discrete symmetries and the periodic-orbit expansions. 92¢:81047 

Lazer, Alan C. see Fonda, A., 92h:34082 

Lions, Pierre-Louis see Coti Zelati, Vittorio; et al., 92a:58027 

Long, Yi Ming (with Zehnder, Eduard) Morse-theory for forced oscillations of asymptoti- 
cally linear Hamiltonian systems. 92j:58019 

Mahmoud, G. M. (with Bountis, Tassos) On synchronized periodic solutions of a 
parametrically forced van der Pol oscillator. 92g:34046 

Mather, John N. Action minimizing invariant measures for positive definite Lagrangian 
systems. 92m:58048 

Matsumoto, Takashi see Komuro, Motomasa; et al., 92j:58073 

Mawhin, Jean L. see Capietto, Anna; et al., 92e:34026 and Bartsch, Thomas, 92e:58029 

van der Merwe, P. du T. Solvable forms of a generalized Hénon-Heiles system. 92e:58073 

Mindlin, G. B. (with Solari, H. G.; Natiello, M. A.; Gilmore, Robert; Hou, X.-J.) Topo- 
logical analysis of chaotic time series data from the Belousov-Zhabotinskii reaction. 
92i:58125 

Mirenghi, Elvira (with Salvatore, Addolorata) Periodic solutions of Lagrangian inclusions. 
92i:49020 ; 

Natiello, M. A. see Mindlin, G. B.; et al., 92i:58125 

(Nazaikinskii, V.E.) see Khanin, K. M., 92j:58089 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Nirenberg, Louis see Brézis, Haim, 92i:58032 

Ott, Edward (with Grebogi, Celso; Yorke, James A.) Controlling chaotic dynamical 
systems. 92¢:58138 

Pollicott, Mark Rotation sets for homeomorphisms and homology. 92h:58116 

Red’ko, S. F. see Kazakevich, M. I. 

Reithmeier, E. Periodic solutions of nonlinear dynamical systems with discontinuities. 
92b:34051 

Salvatore, Addolorata see Mirenghi, Elvira, 92i1:49020 

Sanchez, Luis see Habets, P., 92a:34040 

Solari, H. G. see Mindlin, G. B.; et al., 92i:58125 

Takat, Peter Linearly stable subharmonic orbits in strongly monotone time-periodic 
dynamical systems. 92i:34056 

Tangerman, F.M. see Veerman, J. J. P., 92k:58205 

Togawa, Yoshio Bifurcations from Silnikov systems. 924:58155 

Tokunaga, R. see Komuro, Motomasa; et al., 92j:58073 

Veerman, J. J.P. (with Tangerman, F. M.) Intersection properties of invariant manifolds 
in certain twist maps. 92k:58205 

Visentin, F. Stability properties of bifurcating periodic solutions of periodic systems. 
92i:34051 

Vul, E. B. see Khanin, K. M., 92j:58089 

Wang, Quan Yi The existence of periodic solution of Hamilton system. 92m:34096 

Yorke, James A. see Ott, Edward; et al., 92e:58138 

Zagrodzitiski, J. Dispersion equation technique for periodic solutions of NLPDEs. 
92k:58235 

Zanolin, Fabio see Capietto, Anna; et al., 92e:34026 

Zehnder, Eduard see Long, Yi Ming, 92j:58019 


58F23 Holomorphic dynamics [see also 30D05] 


Baker, I. N. (with Kotus, Janina; Li, Yi Nian) Iterates of meromorphic functions. II. 
Examples of wandering domains. 92m:58114 

— (with Kotus, Janina; Lii, Yi Nian) Iterates of meromorphic functions. I. 92m:58113 

— (with Kotus, Janina; Li, Yi Nian) Iterates of meromorphic functions. III. Preperiodic 
domains. 92m:58115 

Beardon, Alan F. The components of a Julia set. 92h:58166 

Blanchard, Paul R. (with Chiu, Amy) Complex dynamics: an informal discussion. (see 
92£:58002) 

— (with Devaney, Robert L.; Keen, Linda) The dynamics of complex polynomials and 
automorphisms of the shift. 92f:58150 

Briggs, K. M. (with Quispel, G. R. W.; Thompson, Colin J.) Feigenvalues for Mandelsets. 
92h:58167 

Chiu, Amy see Blanchard, Paul R., (92f:58002) 

Collet, Pierre (with Dobbertin, R.; Moussa, P.) Multifractal analysis of nearly circular Julia 
set and thermodynamical formalism. (French summary) 92k:58227 

Denker, Manfred (with Urbanski, Mariusz) Ergodic theory of equilibrium states for 
rational maps. 92a:58112 

Devaney, Robert L. Dynamics of entire maps. 92¢:58175 

— Dynamics of entire maps. (see 92m:58036) 

— (with Durkin, Marilyn B.) The exploding exponential and other chaotic bursts in complex 
dynamics. 92a:58113 

— e?: dynamics and bifurcations. 92e:58176 

— see also Blanchard, Paul R.; et al., 92f:58150 

Dobbertin, R. see Collet, Pierre; et al., 92k:58227 

Douady, Adrien Structural stability of the Mandelbrot set. (see 92b:58003) 

Durkin, Marilyn B. see Devaney, Robert L., 92a:58113 

Fano, Guido Asymptotic behaviour of the coefficients of some sequence of polynomials with 
application to polynomial maps. 92c:58114 

Friedland, Shmuel Entropy of polynomial and rational maps. 92¢:58115 

Gill, John Complex dynamics of the limit periodic system F,(z) = F,-1(fn(z)), Sn > f- 
92b:58197 

Howland, James L. (with Thompson, Alan; Vaillancourt, Rémi) On the dynamics of a 
meromorphic function. 92e:58177 

Keen, Linda Dynamics of quadratic polynomials. 

— see also Blanchard, Paul R.; et al., 92f:58150 

Kotus, Janina Iterated holomorphic maps on the punctured plane. 92i:58152 

— The domains of normality of holomorphic self-maps of C*. 92b:58198 

— see also Baker, I. N.; et al., 92m:58113; 92m:58114 and 92m:58115 

Lei, Tan Similarity between the Mandelbrot set and Julia sets. 92k:58228 

Li, Yi Nian Iterations of meromorphic functions. 92m:58116 

— see also Baker, I. N.; et al., 92m:58113; 92m:58114 and 92m:58115 

Maiié, Ricardo (with da Rocha, L. F.) Julia sets are uniformly perfect. 92k:58229 

Marmi, Stefano Diophantine conditions and estimates for the Siegel radius: analytical and 
numerical results. 92k:58230 

— Critical functions for complex analytic maps. 92b:58199 

Meier, Hans-Ginter The relaxed Newton-iteration for rational functions: the limiting case. 
92g:58108 

Moussa, P. see Collet, Pierre; et al., 92k:58227 

Nishizawa, Kiyoko (with Ohba, Sachio) Dynamics and fractal aspects of exponential 
functions. (Japanese. English summary) 92b:58200 

Norton, Alec An area approach to wandering domains for smooth surface endomorphisms. 
92e:58178 

Ohba, Sachio see Nishizawa, Kiyoko, 92b:58200 

Pérez Marco, Ricardo Sur la structure des germes holomorphes non linéarisables. (English 
summary) [On the structure of nonlinearizable holomorphic germs] 92a:58114 

Petek, Peter A correction to: “Cayley’s problem” [Appl. Math. 35 (1990), no. 2, 140-146; 
MR 90m:58019]. 92e:58179 

— (with Vitek, Andrej) Iteration of complex quadratic functions. (Slovenian. English 
summary) 92b:58201 

Przytycki, Feliks Remarks on the simple connectedness of basins of sinks for iterations of 
rational maps. 92e:58180 





1023 1992 


— (with Skrzypczak, Jan) Convergence and pre-images of limit points for coding trees for 
iterations of holomorphic maps. 92k:58231 

Quispel, G. R. W. see Briggs, K. M.; et al., 92h:58167 

da Rocha, L. F. see Maiié, Ricardo, 92k:58229 

Skrzypczak, Jan see Przytycki, Feliks, 92k:58231 

Stephenson, John High-order cycles in the logistic map or centers of cardioids in the 
Mandelbrot set. 92c:58116 

— Formulae for cycles in the Mandelbrot set. 92h:58168 

Talamo, Rodolfo Analytic dynamics on the torus and the Riemannian sphere. (Italian) 
92¢:58117 

Thompson, Alan see Howland, James L.; et al., 92e:58177 

Thompson, Colin J. see Briggs, K. M.; et al., 92h:58167 

Urbatiski, Mariusz see Denker, Manfred, 92a:58112 

Ushiki, Shigehiro Arnol’d’s tongues and swallow’s tails in complex parameter spaces. 
92c:58118 

Vaillancourt, Rémi see Howland, James L.; et al., 92e:58177 

Veselov, A. P. What is an integrable mapping? 92c:58119 

Vitek, Andrej see Petek, Peter, 92b:58201 


Items with secondary classifications in 58F23 


Beardon, Alan F. * Iteration of rational functions. 92j:30026 

Bedford, Eric (with Smillie, John) Polynomial diffeomorphisms of C?: currents, equilib- 
rium measure and hyperbolicity. 92a:32035 

— (with Smillie, John) Polynomial diffeomorphisms of C?. II. Stable manifolds and 
recurrence. 92m:32048 

Blekher, P. M. (with Lyubich, M. Yu.) Julia sets and complex singularities in hierarchical 
Ising models. 92j:82020 

Blum, Lenore (with Shub, M.; Smale, Stephen) On a theory of computation over the real 
numbers: NP completeness, recursive functions and universal machines [Bull. Amer. 
Math. Soc. (N.S.) 21 (1989), no. 1, 1-46; MR 90a:68022]. (see 92m:58036) 

Bryuno, A. D. On small divisors. 92k:58243 

Bullett, Shaun Dynamics of the arithmetic-geometric mean. 92g:58062 

Campbell, Edward A. (with Gregson, Robert A. M.) Julia sets for the gamma recursion in 
nonlinear psychophysics. 92c:92039 

Denker, Manfred (with Urbatiski, Mariusz) Absolutely continuous invariant measures for 
expansive rational maps with rationally indifferent periodic points. 92k:58154 

— (with Urbanski, Mariusz) Hausdorff and conformal measures on Julia sets with a 
rationally indifferent periodic point. 92k:58153 

— (with Urbatiski, Mariusz) On Sullivan’s conformal measures for rational maps of the 
Riemann sphere. 92f:58097 

Jean P. Finitude des cycles-limites et accéléro-sommation de l’application de retour. 

[Finiteness of limit-cycles and accelero-summation of the return mapping] 92¢e:58166 

Erémenko, A. E. On the iteration of entire functions. 92c:30027 

Gélinas, Sylvie (with Vaillancourt, Rémi) Application of Julia-Fatou iteration theory in 
dielectric spectroscopy. 92a:30027 

(Gill-Hoffstadt, Sophia) see Lauwerier, Hans, 92f:00004 

Grabarnik, G. Ya. (with Shvarts, L.A.) Rational endomorphisms of a Riemann sphere that 
have a finite number of contacts. (Russian) 

Gregson, Robert A. M. see Campbell, Edward A., 92c:92039 

Grzegorczyk, P. (with Przytycki, Feliks; Szlenk, W.) On iterations of Misiurewicz’s rational 
maps on the Riemann sphere. 924:30017 

Hu, Bambi (with Lin, Bin) Fisher zeros and Julia sets: a multifractal analysis. 92h:82026 

Il'yashenko, Yu. S. (with Khovanskii, A.G.) Galois groups, Stokes operators and a theorem 
of Ramis. (Russian) 92f:32038 

Khovanskii, A. G. see Il'yashenko, Yu. S., 92£:32038 

Lauwerier, Hans * Fractals. 92f:00004 

Levin, Genadii Mironovich Symmetries on Julia sets. (Russian) 92¢e:30015 

Lin, Bin see Hu, Bambi, 92h:82026 

Lyubich, M. Yu. see Blekher, P. M., 92j:82020 

Makienko, P.M. Some results on theory of iterations. 92a:30029 

— Herman rings in the theory of iterations of endomorphisms of C*. (Russian) 92m:30050 

Peitgen, Heinz-Otto (with Richter, Peter H.) Fractals and the theory of phase transitions. 
92e:82033 

Przytycki, Feliks see Grzegorczyk, P.; et al., 92d:30017 

Richter, Peter H. see Peitgen, Heinz-Otto, 92e:82033 

Shub, M. see Blum, Lenore; et al., (92m:58036) 

Shvarts, L. A. see Grabarnik, G. Ya. 

Smale, Stephen see Blum, Lenore; et al., (92m:58036) 

Smillie, John see Bedford, Eric, 92a:32035 and 92m:32048 

Szlenk, W. see Grzegorczyk, P.; et al., 92d:30017 

Urbatiski, Mariusz see Denker, Manfred, 92f:58097; 92k:58153 and 92k:58154 

Vaillancourt, Rémi see Gélinas, Sylvie, 92a:30027 

Vrscay, Edward R. Iterated function systems: theory, applications and the inverse problem. 
(see 92£:58002) 

Whittaker, James V. An analytical description of some simple cases of chaotic behaviour. 
92h:58137 

Withers, W. Douglas Differentiability with respect to parameters of average values in 
probabilistic contracting dynamical systems. 92b:58134 


58F25 Flows 


Bronshtein, I. U. (with Chernii, V. F.) A criterion for the existence of a continuous 
invariant section of an affine extension. (Russian. Ukrainian summary) 92b:58202 

Chernii, V. F. see Bronshtein, I. U., 92b:58202 

Ding, Tong Ren On Morse conjecture of metric transitivity. 92i:58153 

Garay, Barnabas M. Parallelizability in Banach spaces: parallelizable dynamical systems 
with bounded trajectories. 92e:58181 

He, Lian Fa (with Shan, Guo Zuo) The nonexistence of expansive flow on a compact 2- 
manifold. (Chinese summary) 92c:58120 

Hofbauer, Josef An index theorem for dissipative semiflows. 92b:58203 


58F Ordinary differential equations on manifolds; dynamical systems 


58F25 


Jackson, E. Atlee Controls of dynamic flows with attractors. 92j:58088 

Liang, Zhao Jun Several problems on the global analysis of polynomial differential systems. 
(Chinese summary) 92m:58117 

McCord, Christopher Poincaré-Lefschetz duality for the homology Conley index. 
92e:58182 

Meisters, Gary Hosler Polynomial flows on R". 92b:58204 

Odani, Kenzi Estimation of nontrivial recurrent orbits of flows on surfaces. 92b:58205 

Petrov, Nikolai Nikolaevich Separability properties of topologies generated by dynamical 
polysystems. (Russian. English summary) 92k:58232 

Pilyugin, S. Yu. Limit sets of domains in flows. (Russian) 92h:58169 

Polatik, Peter Existence of unstable sets for invariant sets in compact semiflows. Applica- 
tions in order-preserving semiflows. 92:58151 

Ramirez, Rafael (with Sadovskaia, Natalia) Construction of vector fields from given partial 
integrals. (Spanish. English summary) 92c:58121 

Reich, Sebastian On a geometrical interpretation of differential-algebraic equations. 
92a:58115 

Rodriguez Bernal, Anibal Inertial manifolds for dissipative semiflows in Banach spaces. 
92h:58170 

Sadovskaia, Natalia see Ramirez, Rafael, 92c:58121 

Samoilenko, A. M. Study of a dynamical system in a neighborhood of an invariant toroidal 
manifold. (Russian. Ukrainian summary) 92f:58152 

Shan, Guo Zuo see He, Lian Fa; et al., 92c:58120 

Thom, René On the reversibility (or irreversibility) of time. (see 92m:58036) 

Wang, Hui Feng see Zhou, Yu Rong; et al., 92f:58153 

Zadun, Marek Cezary On C’ iteration groups. 92a:58116 

Zhou, Yu Rong (with Wang, Hui Feng) Quasi-isolating block and trajectories joining critical 
points. 92f:58153 


Items with secondary classifications in 58F25 

Agrachév, A. A. (with Gamkrelidze, R. V.) Quasi-ex 
(Russian) 92b:49034 

— see also Gamkrelidze, R. V.; et al., 92b:58056 

Andrade, Placido On homology directions for flows. 92e:58183 

Artigue, M. (with Gautheron, V.; Isambert, E.) Une notion non standard d’attracteurs: les 
fleuves. [A nonstandard notion of attractors: rivers] 92e:58126 

Athanassopoulos, Konstantin A characterization of Denjoy flows. 92k:58163 

Bautin, N. N. (with Leontovich, E. A.) * Metogpi 4 IpHeMbI Ka¥ecTBeHHOTO HCCIeqOBaHHA 
J{MHAMH4CCKHX CHCTeM Ha MocKocTH. (Russian) [Methods and rules for the qualitative 
study of dynamical systems on the plane] 92j:34051 

Belikov, S. A. (with Samborskii, S. N.) “Canard”-cycles of fast-slow fields with a one- 
dimensional slow component. (Russian) 92f:34050 

Benci, Vieri A new approach to the Morse-Conley theory and some applications. 92k:58043 

Beyn, Wolf-Jiirgen Numerical methods for dynamical systems. (see 92f:65005) 

Calafiore, S. (with Santoro, P.) Polynomial flows in complex fields. (Italian. English 
summary) 92i:58147 

Choi, Sung Kyu (with Park, Jong Suh) Hyperbolic flows are topologically stable. 92a:58078 

Ercolani, Nicholas M. (with Siggia, Eric D.) Painlevé property and integrability. 92c:58031 

Fetkan, Michal Note on a Poincaré map. 92k:58237 

— Asymptotic behavior of stable manifolds. 924:34094 

Fokkink, Robbert J. There are uncountably many homeomorphism types of orbits in flows. 
92b:54082 

Froeschlé, Claude (with Gautero, J.-L.) Linear stability and connectance for high- 
dimensional Hamiltonian and non-Hamiltonian systems. 92c:58032 

Gamkrelidze, R. V. (with Agrachév, A. A.; Vakhrameev, S. A.) Ordinary differential 
equations on vector bundles, and chronological calculus. (Russian) 92b:58056 

— see also Agrachév, A. A., 92b:49034 

Gautero, J.-L. see Froeschlé, Claude, 92c:58032 

Gautheron, V. see Artigue, M.; et al., 92e:58126 

Gutkin, Eugene (with Simanyi, Nandor) Dual polygonal billiards and necklace dynamics. 
92k:58139 

He, Lian Fa (with Niu, Dong Xiao) The iterative roots for a class of self mappings on S'. 
(Chinese summary) 92b:58114 

Herman, Michael-R. Différentiabilité optimale et contre-exemples a la fermeture en 
topologie C® des orbites récurrentes de flots hamiltoniens. (English summary) [Optimal 
differentiability and counterexamples to the C™ closing lemma for Hamiltonian vector 
fields] 92m:58046 

Ikawa, Mitsuru On scattering by obstacles. (see 92m:00054) 

Ikegami, Giké Show the existence of higher-dimensional ducks. (see 92m:58003) 

Innami, Nobuhiro Application of the differential equation of Riccati type to Riemannian 
geometry. 92¢:53047 

Isambert, E. see Artigue, M.; et al., 92e:58126 

Jackson, E. Atlee On the control of complex dynamic systems. 92h:58124 

Kato, Kazuhisa Hyperbolicity and pseudo-orbits for flows. 92b:58168 

Keynes, Harvey B. (with Markley, Nelson G.; Sears, Michael) The structure of automor- 
phisms of real suspension flows. 92m:58074 

Leontovich, E. A. see Bautin, N. N., 92j:34051 

MacKay, R.S. An extension of Zeeman’s notion of structural stability to noninvertible 
maps. 92k:58144 

Markley, Nelson G. see Keynes, Harvey B.; et al., 92m:58074 

McCord, Christopher (with Mischaikow, Konstantin) Connected simple systems, transition 
matrices, and heteroclinic bifurcations. 92k:58193 

Mischaikow, Konstantin see McCord, Christopher, 92k:58193 

Mondragon, R. J. (with Percival, lan C.) Complex billiards and soft billiards. 92i:58160 

Niu, Dong Xiao see He, Lian Fa; et al., 92b:58114 

Oka, Masatoshi Expansive flows on 3-manifolds have Markov families. 92e:58155 

— Singular foliations on cross-sections of expansive flows on 3-manifolds. 92f:58134 

— Expansiveness of real flows. 92a:54037 

Ombach, Jerzy Sinks, sources and saddles for expansive flows with the pseudo-orbits tracing 
property. 92¢:58103 

Park, Jong Suh see Choi, Sung Kyu, 92a:58078 


lehl 





lity for « systems. 





58F25 


Percival, Ian C. see Mondragon, R. J., 92i:58160 

Pollicott, Mark Rotation sets for homeomorphisms and homology. 92h:58116 

Rauch-Wojciechowski, Stefan A method of studying integrals of dynamical systems based 
on Frobenius’ integrability theorem. 92i:34009 

Reich, Sebastian On an existence and uniqueness theory for nonlinear differential-algebraic 
equations. 92k:34002a 

— Erratum to: “On an existence and uniqueness theory for nonlinear differential-algebraic 
equations”. 92k:34002b 

Reineck, James F. A connection matrix analysis of ecological models. 92j:92020 

Samborskii, S. N. see Belikov, S. A., 92f:34050 

Santoro, P. see Calafiore, S., 92i:58147 

Sears, Michael see Keynes, Harvey B.; et al., 92m:58074 

Serra, Enrico (with Tarallo, Massimo) A new proof of the Poincaré-Bendixson theorem. 
92b:58192 

Siggia, Eric D. see Ercolani, Nicholas M., 92c:58031 

Simnyi, Nandor see Gutkin, Eugene, 92k:58139 

Smith, Hal L. (with Thieme, Horst R.) Convergence for strongly order-preserving 
semiflows. 92m:34145 

Tarallo, Massimo see Serra, Enrico, 92b:58192 

Thieme, Horst R. see Smith, Hal L., 92m:34145 

Vakhrameev, S. A. Smooth controllable systems of constant rank and linearizable systems. 
(Russian) 92b:49035 

— see also Gamkrelidze, R. V.; et al., 92b:58056 

Wolper, James S. The Riccati flow near the “edge”. 924:93046 

Zelikin, M.1. On the theory of the matrix Riccati equation. (Russian) 92g:34010 


58F27 Quasiperiodic flows 


Brindley, J. (with Kapitaniak, Tomasz; El Naschie, M.S.) Analytical conditions for strange 
chaotic and nonchaotic attractors of the quasiperiodically forced van der Pol equation. 
92h:58171 

Broer, H. W. (with Huitema, G. B.) A proof of the isoenergetic KAM-theorem from the 
“ordinary” one. 92a:58117 

Celletti, Alessandra (with Chierchia, Luigi) Invariant curves for area-preserving twist maps 
far from integrable. 92i:58154 

Chierchia, Luigi An effective theory of KAM surfaces. 92¢:58122 

— A direct method for constructing solutions of the Hamilton-Jacobi equation. (Italian 
summary) 92d:58172 

— see also Celletti, Alessandra, 92i:58154 

Dewar, R. L. see Meiss, J. D., 92b:58206 

Doelman, Arjen (with Eckhaus, Wiktor) Periodic and quasi-periodic solutions of degener- 
ate modulation equations. 92m:58118 

Dumas, H.S. Ergodization rates for linear flow on the torus. 92g:58109 

Eckhaus, Wiktor see Doelman, Arjen, 92m:58118 

El Naschie, M.S. see Brindley, J.; et al., 92h:58171 

Hall, Glen Richard A topological version of a theorem of Mather on shadowing in 
monotone twist maps. 92¢:58123 

Haydn, Nicolai T. A. On invariant curves under renormalisation. 92¢:58124 

Hernando, J. A. see Stolovitzky, G., 92a:58119 

Hau, Bambi (with Shi, Jicong; Kim, Sang-Yoon) Recurrence of Kolmogorov-Arnol‘d-Moser 
tori in nonanalytic twist maps. 92d:58173 

Huitema, G. B. see Broer, H. W., 92a:58117 

Jungreis, Irwin A method for proving that monotone twist maps have no invariant circles. 
92c¢:58125 

Kapitaniak, Tomasz see Brindley, J.; et al., 92h:58171 

Khanin, K. M. (with Vul, E. B.) Circle homeomorphisms with weak discontinuities. 
92j:58089 

— see also Sinai, Ya. G., 92d:58175 

Kim, Sang-Yoon see Hu, Bambi; et al., 92d:58173 

Laederich, Stephane (with Levi, Mark L.) Invariant curves and time-dependent potentials. 
92g:58110 


Lazutkin, V. F. The width of the instability zone around separatrices of a standard mapping. 


(Russian) 92£:58154 

Levi, Mark L. KAM theory for particles in periodic potentials. 92a:58118 

— see also Laederich, Stephane, 92g:58110 

Li, Wei Gu A generalization of Mel’/nikov’s method. 92i:58155 

Ling, Fu Hua (with Liu, Zeng Rong) Limiting probability density of the quasi-periodic 
orbit. 92k:58233 

Liu, Zeng Rong see Ling, Fu Hua, 92k:58233 

de la Llave, R. (with Rana, David) Accurate strategies for K.A.M. bounds and their 
implementation. 924:58174 

Lowenstein, J. H. Parameter dependence of stochastic layers in a quasicrystalline web. 
92h:58172 

MacKay, R.S. Converse KAM theory. 92i:58156 

Meiss, J.D. (with Dewar, R. L.) Minimizing flux. 92b:58206 

Murray, N. W. Critical function for the standard map. 92j:58090 

(Nazaikinskii, V.E.) see Khanin, K. M., 92j:58089 

Obaya Garcia, Rafael (with Paramio, Miguel) An application of the KAM theory to 
the study of the spectrum of quasiperiodic Schrédinger operators. (Spanish. English 
summary) (see 92b:00044) 

Osbaldestin, A. H. Siegel disc singularity spectra. 92k:58234 

Paramio, Miguel see Obaya Garcia, Rafael, (92b:00044) 

Rana, David see de la Llave, R., 92d:58174 

Shi, Jicong see Hu, Bambi; et al., 92d:58173 

Sinai, Ya. G. (with Khanin, K. M.) Renormalization group method in the theory of 
dynamical systems. 92d:58175 

Stolovitzky, G. (with Hernando, J. A.) Intermittency, ergodicity, and spectral analysis in 
classical Hamiltonian dynamics. 92a:58119 

Tangerman, F.M. see Veerman, J. J. P., 924:58176 

Veerman, J. J.P. (with Tangerman, F.M.) On Aubry-Mather sets. 92d:58176 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Vul, E. B. see Khanin, K. M., 92j:58089 


Zagrodzinski, J. Dispersion equation technique for periodic solutions of NLPDEs. 
92k:58235 


Items with secondary classifications in 58F27 

Abramovici, Gilles see Aubry, Serge; et al., 92d:58194 

Akhromeeva, T.S. (with Malinetskii, G. G.; Potapov, A. B.; Tsertsvadze, G. Z.) New 
properties of quasiperiodic solutions of the Kuramoto-Tsuzuki equation. (Russian) 
92m:35247 

Aubry, Serge (with Gosso, Jean-Pierre; Abramovici, Gilles; Raimbault, Jean-Luc; Que- 
merais, Pascal) Effective discommensurations in the incommensurate ground states of 
the extended Frenkel-Kontorowa models. 924:58194 

Bibikov, Yu. N. * MuoroyuacToTHbie HemHHefHbIe KoneOanna Hw Hx GudypKauuu. (Russian) 
[Multifrequency nonlinear oscillations and their bifurcations] 92i:34045 

Blank, M. L. Chaos and order in the multidimensional Frenkel-Kontorova model. (Russian. 
English summary) 924:58128 

Broer, H. W. Quasi-periodic bifurcations, applications. 92f:58118 

Bryuno, A. D. On small divisors. 92k:58243 

Buric, Nikola (with Percival, lan C.) Modular smoothing and finite perturbation theory. 
92g:70014 

Chaté, H. (with Manneville, Paul) Emergence of effective low-dimensional dynamics in the 
macroscopic behaviour of coupled map lattices. 92k:58172 

Chen, Shi Gang (with Wang, You Qin) Cubic irrational number and critical scaling law for 
quasiperiodic motion. 92d:58131 

Demékhin, E. A. (with Tokarev, G. Yu.; Shkadov, V. Ya.) Hierarchy of bifurcations of 
space-periodic structures in a nonlinear model of active dissipative media. 92k:58249 

Dendrinos, Dimitrios S. Asymptotic stability and quasi-periodicity in form and evolution of 
model socio-spatial structures. 92g:92015 

Eliasson, L. H. Hamiltonian systems with linear normal form near an invariant torus. 
92:58156 

El Naschie, M.S. Peano dynamics as a model for ergodic and strange nonchaotic 
behaviour. 92k:58173 

Gosso, Jean-Pierre see Aubry, Serge; et al., 92d:58194 

Henry, B.I. see Sholl, David S., 92h:58175 

Hu, Bambi (with Shi, Jicong; Kim, Sang-Yoon) Critical phenomena of invariant circles. 
92a:58120 

Iooss, G. (with Los, Jéréme E.) Bifurcation of spatially quasi-periodic solutions in 
hydrodynamic stability problems. 92b:35026 

Ito, Hidekazu On singularities of analytic integrable systems and Birkhoff normal form. 
92e:58188 

Ketoja, Jukka A. Strange dynamical objects of renormalisation. 92d:58137 

Kim, Sang-Yoon see Hu, Bambi; et al., 92a:58120 

Krupa, Martin Bifurcations of relative equilibria. 92b:58161 

Los, Jéréme E. see Iooss, G., 92b:35026 

(MacKay, R.S.) see Hamiltonian dynamical systems, 92g:58028 

Mackey, Michael C. see Provatas, Nicholas, 92m:58075 

Malinetskii,G.G. see Akhromeeva, T. S.; et al., 92m:35247 

Manneville, Paul see Chaté, H., 92k:58172 

Marmi, Stefano Diophantine conditions and estimates for the Siegel radius: analytical and 
numerical results. 92k:58230 

Mather, John N. Differentiability of the minimal average action as a function of the 
rotation number. 92j:58061 

(Meiss, J. D.) see Hamiltonian dynamical systems, 92g:58028 

Nerurkar, Mahesh G. Controllability and the nature of quasifrequencies. 92b:93012 

Oliva, Waldyr Muniz On the chaotic behavior and the nonintegrability of the four vortices 
problem. (French summary) 92j:58070 

Parasyuk, I.O. Co-isotropic invariant tori of Hamiltonian systems in the quasiclassical 
theory of the motion of a conduction electron. (Russian. Ukrainian summary) 92b:58075 

Percival, Ian C. see Buric, Nikola, 92g:70014 

Potapov, A. B. see Akhromeeva, T. S.; et al., 92m:35247 

Provatas, Nicholas (with Mackey, Michael C.) Asymptotic periodicity and banded chaos. 
92m:58075 

Qin, Meng Zhao Using symplectic schemes to calculate chaotic behavior in Hamiltonian 
systems. (Chinese. English summary) 92i:58129 

Quemerais, Pascal see Aubry, Serge; et al., 92d:58194 

Raimbault, Jean-Luc see Aubry, Serge; et al., 92d:58194 

Shen, Wen Xian Dynamical behavior in the equation of J-J type with large DC-current. 
(Chinese summary) 92i:34049 

Shi, Jicong see Hu, Bambi; et al., 92a:58120 

Shkadov, V. Ya. see Demékhin, E. A.; et al., 92k:58249 

Sholl, David S. (with Henry, B.1.) Perturbative calculation of superperiod recurrence times 
in nonlinear chains. 92h:58175 

Simdanyi, Nandor Towards a proof of recurrence for the Lorentz process. 92£:58100 

Tokarev, G. Yu. see Demékhin, E. A.; et al., 92k:58249 

Tsertsvadze, G. Z. see Akhromeeva, T. S.; et al., 92m:35247 

Vul, E. B. Some numerical studies of dynamical systems. 92e:58157 

Wang, You Qin see Chen, Shi Gang, 92d:58131 

Ward, James Robert, Jr. Averaging, homotopy, and bounded solutions of ordinary 
differential equations. 92k:34039 


Items listed otherwise than by author 
Hamiltonian dynamical systems * Hamiltonian dynamical systems. 92g:58028 


58F30 Perturbations 


Andrade, Placido On homology directions for flows. 92e:58183 

Arnold, Ludwig (with Boxler, Petra) Elimination of fast variables in the presence of noise: 
stochastic center manifold theory. 92e:58184 

Battelli, Flaviano (with Lazzari, Claudio) Exponential dichotomies, heteroclinic orbits, and 
Mel'nikov functions. 92d:58177 





1025 1992 


Bazzani, Armando (with Marmi, Stefano; Turchetti, Giorgio) Nekhoroshev estimate for 
isochronous nonresonant symplectic maps. 92b:58207 

Benettin, Giancarlo Nekhoroshev-like results for Hamiltonian dynamical systems. (see 
92:58003) 

Boxler, Petra see Arnold, Ludwig, 92e:58184 

Celletti, Alessandra (with Chierchia, Luigi) A computer-assisted approach to small-divisors 
problems arising in Hamiltonian mechanics. 92g:58111 

Chaikovsky, D. K. (with Zaslavskii,G.M.) Channeling and percolation in two-dimensional 
chaotic dynamics. 92i:58157 

Chang, K. (with Kodogeorgiou, A.; Hiibler, Alfred; Jackson, E. Atlee) General resonance 
spectroscopy. 92k:58236 

Chierchia, Luigi Birth and death of invariant tori for Hamiltonian systems. 92f:58155 

— On a result by J. N. Mather concerning invariant sets for area-preserving twist maps. 
92b:58208 

— see also Celletti, Alessandra, 92g:58111 

Chow, Shui-Nee (with Yamashita, Masahiro) Geometry of the Melnikov vector. 
92h:58173 

Cox, Stephen M. (with Roberts, A. J.) Centre manifolds of forced dynamical systems. 
92h:58174 

Fassd, Francesco Lie series method for vector fields and Hamiltonian perturbation theory. 
92¢:58126 

Fetkan, Michal Note on a Poincaré map. 92k:58237 

Fontich, E. On the existence of homoclinic points for conservative diffeomorphisms. 
92d:58178 

Giorgilli, Antonio Recent developments in perturbation theory of classical Hamiltonian 
systems. 92¢:58127 

Henry, B.I. see Sholl, David S., 92h:58175 

Hu, Bambi (with Shi, Jicong; Kim, Sang-Yoon) Critical phenomena of invariant circles. 
92a:58120 

— see also Shi, Jicong, 92d:58181 

Hibler, Alfred see Chang, K.; et al., 92k:58236 

Jackson, E. Atlee see Chang, K.; et al., 92k:58236 

Kim, Sang-Yoon see Hu, Bambi; et al., 92a:58120 

Kodogeorgiou, A. see Chang, K.; et al., 92k:58236 

Koiller, Jair Mel‘nikov formulas for nearly integrable Hamiltonian systems. 92d:58179 

Lacomba, Ernesto A. (with Llibre, Jaume; Nunes, Ana) Invariant tori and cylinders for a 
class of perturbed Hamiltonian systems. 92i:58158 

Lasota, Andrzej (with Tyrcha, Joanna) On the strong convergence to equilibrium for 
randomly perturbed dynamical systems. 92i:58159 

Lazzari, Claudio see Battelli, Flaviano, 92d:58177 

Llibre, Jaume see Lacomba, Ernesto A.; et al., 92i:58158 

MacKay, R.S. Mi t of eige: of Hamiltonian equilibria under non-Hamiltonian 
perturbation. 92¢:58128 

Marmi, Stefano see Bazzani, Armando; et al., 92b:58207 

Mondragon, R. J. (with Percival, lan C.) Complex billiards and soft billiards. 92i:58160 

Neishtadt, A. I. Averaging, capture into resonances, and chaos in nonlinear systems. 
92d:58180 

— Probability phenomena due to separatrix crossing. 92i:58161 

Nunes, Ana see Lacomba, Ernesto A.; et al., 92i:58158 

Ornstein, Donald S. (with Weiss, Benjamin) Statistical properties of chaotic systems. 
92g:58112 

Palmer, Kenneth J. Existence of transversal homoclinic points in a degenerate case. 
92k:58238 

Percival, Ian C. see Mondragon, R. J., 92i:58160 

Roberts, A. J. see Cox, Stephen M., 92h:58174 

Rom-Kedar, Vered (with Wiggins, Stephen) Transport in two-dimensional maps: concepts, 
examples, and a comparison of the theory of Rom-Kedar and Wiggins with the Markov 
model of MacKay, Meiss, Ott, and Percival. 92k:58239 

Shi, Jicong (with Hu, Bambi) Crossover phenomena in the multifractal behavior of 
invariant circles. 92d:58181 

— see also Hu, Bambi; et al., 92a:58120 

Sholl, David S. (with Henry, B. 1.) Perturbative calculation of superperiod recurrence times 
in nonlinear chains. 92h:58175 

Szmolyan, P. Transversal heteroclinic and homoclinic orbits in singular perturbation 
problems. 92e:58185 

Turchetti, Giorgio see Bazzani, Armando; et al., 92b:58207 

Tyrcha, Joanna see Lasota, Andrzej, 92i:58159 

Valkering, Theo P. see van der Weele, J. P., 92d:58182 

Vittot, Michel A simple and compact presentation of Birkhoff series. (see 92f:58003) 

van der Weele, J. P. (with Valkering, Theo P.) The birth process of periodic orbits in 
nontwist maps. 92d:58182 

Weiss, Benjamin see Ornstein, Donald S., 92g:58112 

Wiggins, Stephen see Rom-Kedar, Vered, 92k:58239 

Yamashita, Masahiro see Chow, Shui-Nee, 92h:58173 

Zaslavskii, G.M. see Chaikovsky, D. K., 92i:58157 





Items with secondary classifications in 58F30 

Abad, Alberto (with Deprit, André; Elipe Sanchez, Antonio C.; Sein-Echaluce, Maria Luisa) 
Simplification for a perturbed quartic oscillator. (see 92b:00044) 

Albanese, Claudio (with Frohlich, Jiirg) Perturbation theory for periodic orbits in a class of 
infinite-dimensional Hamiltonian systems. 92i:58149 

Ambrosetti, Antonio (with Bessi, Ugo) Bifurcation of periodic solutions for Keplerian 
problems. (Italian summary) 92f:70011 

Bau, Haim H. On controlling a chaotic system. 92i:58114 

Belikov, S. A. (with Samborskii, S. N.) “Canard”-cycles of fast-slow fields with a one- 
dimensional slow component. (Russian) 92f:34050 

Bernfeld, S. R. Existence and stability of bifurcating tori in a neighborhood of an equilib- 
rium position. 92e:58140 

Bessi, Ugo see Ambrosetti, Antonio, 92f:70011 


58F Ordinary differential equations on manifolds; dynamical systems 


58F30 


Blank, M. L. Marginal singularities, almost invariant sets, and small perturbations of 
chaotic dynamical systems. 92k:58150 

Bourland, F. Jay (with Haberman, Richard) Separatrix crossing: time-invariant potentials 
with dissipation. 92d:34073 

Bryuno, A. D. Normal form of a system that is close to Hamiltonian. (Russian) 92e:58187 

Caiias, Moisés see Urbina, A. M.; et al., 92f:58144 

Candy, Jeff (with Rozmus, W.) Rational resonances in a wave driven linear oscillator. 
92i:70040 

Celletti, Alessandra (with Chierchia, Luigi) Invariant curves for area-preserving twist maps 
far from integrable. 92i:58154 

Chierchia, Luigi see Celletti, Alessandra, 92i:58154 

Clerc, René-Louis (with Hartmann, Christian; Razafimandimby, Boniface) Structures in 
conservative or dissipative dynamical systems. 92g:58094 

Deprit, André see Abad, Alberto; et al., (92b:00044) 

Derks, G. (with van Groesen, Embrecht; Valkering, Theo P.) Decay of coherent structures 
in damped Hamiltonian systems. 92j:58033 

Dovbysh, S. A. Splitting of separatrices of unstable uniform rotations and nonintegrability 
of a perturbed Lagrange problem. (Russian) 92d:70005 

Dumas, H.S. Ergodization rates for linear flow on the torus. 92g:58109 

Elipe Sanchez, Antonio C. see Abad, Alberto; et al., (92b:00044) 

Ershov, S. V. On the influence of small noise on one-dimensional mappings. (Russian. 
English summary) 924:58104 

— (with Potapov, A. B.) Bifurcations of inertial manifolds in a model problem. (Russian. 
English summary) 92m:58098 

Fabes, Eugene B. (with Luskin, Mitchell; Sell, George R.) Construction of inertial 
manifolds by elliptic regularization. 92b:34072 

Faibusovich, L. E. Dynamical systems which solve optimization problems with linear 
constraints. 92i:90054 

Fetkan, Michal Bifurcation of heteroclinic orbits for diffeomorphisms. (Slovak summary) 
92k:58189 

— On the existence of homoclinic points. 92k:58190 

Frohlich, Jiirg see Albanese, Claudio, 92i:58149 

Garcia-Pelayo, Ricardo (with Schieve, William C.) Noisy fractals. 92k:58157 

Gelfreich, V.G. (with Lazutkin, V. F.; Tabanov, M. B.) Exponentially small splittings in 
Hamiltonian systems. 92i:58059 

van Groesen, Embrecht see Derks, G.; et al., 92j:58033 

Guo, You Zhong (with Liu, Zeng Rong; Jiang, Xia Mei; Han, Zhi Bin) Higher-order 
Mel’nikov method. (Chinese. English summary) 92d:34083 

Haberman, Richard see Bourland, F. Jay, 92d:34073 

Han, Zhi Bin see Guo, You Zhong; et al., 92d:34083 

Hartmann, Christian see Clerc, René-Louis; et al., 92g:58094 

Haydn, Nicolai T. A. On invariant curves under renormalisation. 92¢:58124 

Herman, Russell L. Lax pairs, recursion operators and the perturbation of nonlinear 
evolution equations. (see 92f:00025) 

Holmes, Philip see Stone, Emily F., 92b:34054 

Irac-Astaud, M. Perturbation around exact solutions for nonlinear dynamical systems: 
application to the perturbed Burgers equation. (French summary) 92b:35020 

— Perturbed nonlinear equations: application to the Korteweg-de Vries equation considered 
as a perturbed Euler equation. 92h:35210 

Irié, Haruyuki (with Yamaguchi, Hideki; Sato, Masatomo) Deterministic fractal events 
generated by a two-dimensional map. 92i:58173 

Jiang, Xia Mei see Guo, You Zhong; et al., 92d:34083 

Kirgetova, S. V. Some problems in the theory of perturbations of Hamiltonian systems with 
the Hamiltonian in the form of a trigonometric polynomial. (Russian) 92b:70020 

Knobloch, H.-W. Invariant manifolds for ordinary differential equations. 92m:34101 

Kulik, V. L. Sign changing Lyapunov functions and perturbation of invariant tori of 
dynamical systems. 92f:34039 

Lazutkin, V. F. The width of the instability zone around separatrices of a standard mapping. 
(Russian) 92£:58154 

— see also Gelfreich, V. G.; et al., 92i:58059 

Ledrappier, F. (with Young, L. S.) Stability of Lyapunov exponents. 92i:58096 

Le6n de la Barra, G. see Urbina, A. M.; et al., 92f:58144 

Leén de la Barra, M. see Urbina, A. M.; et al., 92:58144 

Li, Wei Gu A generalization of Mel/nikov’s method. 92i:58155 

Litvinenko, D. V. Generating cycles of quadratic systems with a cubic Hamiltonian. 
(Russian. English summary) 92d:58167 

Liu, Zeng Rong see Guo, You Zhong; et al., 92d:34083 

de la Liave, R. (with Rana, David) Accurate strategies for K.A.M. bounds and their 
implementation. 92d4:58174 

Luskin, Mitchell see Fabes, Eugene B.; et al., 92b:34072 

MardeSi¢, Pavao The number of limit cycles of polynomial deformations of a Hamiltonian 
vector field. 92b:58191 

Millionshchikov, V.M. Behavior of conditional stability with parameter change. (Russian) 
92d:34097 

Monte, Anna-Maria Global stability properties for a perturbed almost periodic equation. 
(Italian summary) 92i:34062 

Morozov, A. D. On the qualitative behavior of solutions in a neighborhood of the nonlinear 
center of two-dimensional time-periodic systems that are close to Hamiltonian systems. 
(Russian) 92m:34083 

Moser, Jiirgen On commuting circle mappings and simultaneous Diophantine approxima- 
tions. 92e:58120 

Neishtadt, A. I. Probabilistic phenomena in perturbed systems. (Russian) 92d:70020 

Olvera, Arturo (with Sim6, Carles) The dynamics near invariant Cantorian sets of 
perturbed twist maps. 92c¢:58102 

Parasyuk, I. O. Co-isotropic invariant tori of a natural system on a three-dimensional torus 
located in a gyroscopic force field. (Russian) 92f:58063 

Pilyugin, S. Yu. The space of dynamical systems with C°-topology. (Russian) 92b:58123 

Pogonysheva, V.N. Stability of an attracting set with respect to the metric R,. (Russian. 
English summary) 92e:58128 

Potapov, A. B. see Ershov, S. V., 92m:58098 





58F30 


Rana, David see de la Llave, R., 92d:58174 

Razafimandimby, Boniface see Clerc, René-Louis; et al., 92g:58094 

Ross, John see Vance, William N., 92h:58149 

Réssler, Jaime Structural stability of perturbed mKdV solitons. 92h:58091 

Rozmus, W. see Candy, Jeff, 92i:70040 

Samborskii, S. N. see Belikov, S. A., 92f:34050 

Sato, Masatomo see Irié, Haruyuki; et al., 92i:58173 

Schieve, William C. see Garcia-Pelayo, Ricardo, 92k:58157 

Sein-Echaluce, Maria Luisa see Abad, Alberto; et al., (92b:00044) 

Sell, George R. see Fabes, Eugene B.; et al., 92b:34072 

Shmyrov, A.S. Trajectories of a canonical mapping. (Russian. English summary) 92i:70031 

Sim6, Carles see Olvera, Arturo, 92c:58102 

Stone, Emily F. (with Holmes, Philip) Unstable fixed points, heteroclinic cycles and 
exponential tails in turbulence production. 92b:34054 

Tabanov, M. B. see Gelfreich, V. G.; et al., 92i:58059 

Trubetskoi, S. E. Stochastic stability of scattering billiards. (Russian. English summary) 
92d:58110 

Urbina, A. M. (with Cafias, Moisés; Leon de la Barra, G.; Leon de la Barra, M.) Perturba- 
tions of a Hamiltonian family of cubic vector fields. 92f:58144 

Valkering, Theo P. see Derks, G.; et al., 92j:58033 

Vance, William N. (with Ross, John) Bifurcation structures of periodically forced 
oscillators. 92h:58149 

Vittot, Michel Birkhoff expansions in Hamiltonian mechanics: a simplification of the 
combinatorics. 92j:58039 

Wen, Lan The C' closing lemma for nonsingular endomorphisms. 92k:58146 

Yamaguchi, Hideki see Irié, Haruyuki; et al., 92i:58173 

Yomdin, Y. Local complexity growth for iterations of real analytic mappings and semiconti- 
nuity moduli of the entropy. 92m:58076 

Young, L.S. see Ledrappier, F., 92i:58096 

Zhao, Yue Yu An approximate method based on conservation laws of dynamical systems. 
(Chinese. English summary) 92e:70027 

Zheng, Zhi Ming Qualitative analysis of van der Pol type equation with periodic forcing 
term. 924:34079 


58F32 Functional-differential equations on manifolds 


Beklaryan, L. A. * J[IuddbepentmanbHoe ypaBHeHHe C OTKJIOHAIONIHMCA apryMeHTOM Kak 
6eckoHewHOMepHas THHaMHYecKas cucTema. (Russian) [A differential equation with 
deviating argument as an infinite-dimensional dynamical system] 92c:58129 

Bernardini, C. Functional equations, iterated mappings and clock problems. 92i:58162 

Feireisl, Eduard A nonlinear functional equation on a torus with applications to the time- 
periodic problems in viscoelasticity. (Portuguese summary) 92a:58121 

Lizana Peiia, Marcos Attractors for systems of functional-differential equations. 92k:58240 


Items with secondary classifications in 58F32 


Bartsch, Thomas (with Mawhin, Jean L.) The Leray-Schauder degree of S'-equivariant 
operators associated to autonomous neutral equations in spaces of periodic functions. 
92e:58029 

Bayliss, Alvin see Deller, Klaus; et al., 92i1:80014 

Belitskii, G. R. (with Tkachenko, Vadim Aleksandrovich) Locally analytic solvability 
of multidimensional functional equations in a neighborhood of a nonsingular point. 
(Russian) 92g:39006 

Capietto, Anna (with Mawhin, Jean L.; Zanolin, Fabio) The coincidence degree of some 
functional-differential operators in spaces of periodic functions and related continuation 
theorems. 92h:34131 

Casal, Alfonso C. see Talibi, H., 92d:58154 

Deller, Klaus (with Erneux, Thomas; Bayliss, Alvin) Asymptotic and numerical study of 
Brusselator chaos. 92i:80014 

Doedel, Eusebius J. see Friedman, Mark J., 92e:34058 

Dormayer, P. The stability of special symmetric solutions of x(t) = af(x(t — 1)) with small 
amplitudes. 92b:34090 

Erneux, Thomas see Deller, Klaus; et al., 92i:80014 

Franke, Jeffery M. (with Stech, Harlan W.) Extensions of an algorithm for the analysis of 
nongeneric Hopf bifurcations, with applications to delay-difference equations. 92k:34092 

Friedman, Mark J. (with Doedel, Eusebius J.) Numerical computation and continuation of 
invariant manifolds connecting fixed points. 92e:34058 

Hale, Jack K. Dynamics and delays. 92m:34156 

He, Meng Xing Abstract functional-differential equation. VII. Bounded, periodic, almost 
periodic solutions; stable and unstable manifolds. (Chinese) 92b:34099 

Mawhin, Jean L. see Bartsch, Thomas, 92e:58029 and Capietto, Anna; et al., 92h:34131 

Stech, Harlan W. see Franke, Jeffery M., 92k:34092 

Talibi, H. (with Casal, Alfonso C.) A perturbation approach to bifurcation branches of 
periodic solutions for some functional-differential equations. (Serbo-Croatian summary) 
924:58154 

Targonski, Gyérgy Iteration theory and functional analysis. 92a:58076 

Tkachenko, Vadim Aleksandrovich see Belitskii, G. R., 92g:39006 

Zanolin, Fabio see Capietto, Anna; et al., 92h:34131 


58F35 Invariance properties 


Aguirre, Manuel (with Krause, Jorge) Two-dimensional spacetime realizations of SL(3, R) 
for all classical linear systems. (see 92f:81008) 

Arsenault, Guy (with Saint-Aubin, Yvan) Symmetries of the Euclidean U(3) chiral model 
and Uhlenbeck’s unitons. (see 92f:81008) 

Beckers, J. see Hussin, Véronique; et al., (92f:81008) 

Bouquet, Serge (with Feix, Marc R.; Leach, P.G. L.) Properties of second-order ordinary 
differential equations invariant under time translation and self-similar transformation. 
92c:58130 

Czichowski, Ginter Lie theory of differential equations and computer algebra. 92h:58176 

Feix, Marc R. see Bouquet, Serge; et al., 92c:58130 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Gagnon, Langis see Hussin, Véronique; et al., (92:81008) 

Hu, Xing Biao New sets of symmetries for some nonlinear evolution equations. (Chinese. 
English summary) 92k:58241 

Hussin, Véronique (with Beckers, J.; Gagnon, Langis; Winternitz, Pavel) Nonlinear 
equations with superposition principles, the Lie group G2 and its maximal subgroups. (see 
92f:81008) 

Krause, Jorge (with Michel, Louis) Classification of the symmetries of ordinary differential 
equations. $2m:58119 

— see also Aguirre, Manuel, (92£:81008) 

Lakshmanan, M. Coupled nonlinear oscillators: symmetries and integrability. 92c:58131 

— (with Senthil Velan, M.) Dynamical symmetries and finite-dimensional nonlinear 
systems: integrability and separability. 92j:58091 

Leach, P. G. L. Generalized Ermakov systems. 92h:58177 

— see also Bouquet, Serge; et al., 92c:58130 and Mahomed, F. M., 92i:58163 

Levi, D. Integrable systems and water waves. An example of symmetry analysis applied to a 
physical problem. 92d:58183 

Mahomed, F. M. (with Leach, P.G.L.) Contact symmetry algebras of scalar second-order 
ordinary differential equations. 92i:58163 

Michel, Louis see Krause, Jorge, 92m:58119 

Paquin, Gérald Les symétries de Kac-Moody-Virasoro d’une équation d’ondes longues 
dispersives en 2 + 1 dimensions. [The Kac-Moody-Virasoro symmetries of a dispersive 
long wave equation in 2 + 1 dimensions] 92¢:58186 

Punithavathi, P. see Tamizhmani, K. M., 92b:58209 

Reid, Gregory J. Algorithmic determination of Lie symmetry algebras of differential 
equations. 924:58184 

Saint-Aubin, Yvan see Arsenault, Guy, (92f:81008) 

Senthil Velan, M. see Lakshmanan, M., 92j:58091 

Tamizhmani, K. M. (with Punithavathi, P.) Addendum to: “The infinite-dimensional 
Lie algebraic structure and the symmetry reduction of a nonlinear higher-dimensional 
equation” [J. Phys. Soc. Japan 59 (1990), no. 3, 843-847; MR 91e:58160]. 92b:58209 

Winternitz, Pavel see Hussin, Véronique; et al., (92f:81008) 


Items with secondary classifications in 58F35 


Ames, W. F. Symmetry in nonlinear mechanics. 92k:58277 

Bacry, Henri Comment on: “The relationship between the symmetries of and the existence 
of conserved vectors for the equation ¢ + f(r)L + g(r)r = 0” [J. Phys. A 23 (1990), no. 13, 
2765-2774; MR 91h:34070] by P. G. L. Leach and V. M. Gorringe. 92j:70016 

Baumann, Gerd (with Freyberger, M.) Generalized symmetries and conserved quantities of 
the Lotka-Volterra model. 92g:34008 

Cabau, Patrick (with Grifone, Joseph; Mehdi, Mohamad) Existence de lois de conservation 
dans le cas cyclique. (English summary) [Existence of conservation laws in the cyclic case] 
92k:58283 

Carillo, Sandra see Fuchssteiner, Benno; et al., 92g:58048 

Chechetkin, V.R. (with Ezhov, A. A.; Knizhnikova, L. A.; Kutvitskii, V. A.) Multiplicative 
group of invariance of phase space and natural time-scale for chaotic attractors. 
92m:58084 

Cheng, Yi! Hierarchies of nonlinear integrable equations and their symmetries in 2 + 1 
dimensions. 92h:58081 

Das, Ashok (with Roy, Shibaji) Covariant Lax operators and Kac-Moody algebras. 
92e:58088 

De Filippo, Sergio A commutative setting for integrable theories with fermions. 92h:58082 

Dickey, L. A. Field theoretical (multi-time) Hamiltonian formalism and its application to 
integrable systems. 92h:58083 

Duarte, L.G.S. (with Moreira, I. C.; Euler, N.; Steeb, Willi-Hans) Invertible point 
transformations, Lie symmetries and the Painlevé test for the equation X + fi(t)x + 
Sy(t)x + fa(t)x" =0. 92d:58187 

Elkin, V. I. Automorphisms and decomposition of affine control systems. (Russian) 
92a:93032 

Euler, N. see Duarte, L. G. S.; et al., 924:58187 

Ezhov, A. A. see Chechetkin, V. R.; et al., 92m:58084 

Ferapontov, E. V. Integration of weakly nonlinear semi-Hamiltonian systems of hydrody- 
namic type by the methods of web theory. (Russian) 92¢:58090 

Flahaut, Isabelle Attractors for the dissipative Zakharov system. 92d:35232 

Freyberger, M. see Baumann, Gerd, 92g:34008 

(Fronzoni, Leone) see Dynamical symmetries and chaotic behaviour in physical systems, 
92c:58025 

Fuchssteiner, Benno (with Konopel/chenko, B. G.; Carillo, Sandra) The action-angle 
transformation for interacting solitons and the dynamics of eigenfunctions for soliton 
equations. (Italian summary) 92g:58048 

Glimm, James Nonlinear and stochastic phenomena: the grand challenge for partial 
differential equations. 92i:35081 

Gonzalez-Gascén, Francisco (with Gonzdlez-Lépez, Artemio) Dynamical symmetries and 
integration of differential equations. 92e:34012 

Gonzalez-Lépez, Artemio see Gonzadlez-Gascén, Francisco, 92e:34012 

(Gorringe, V.M.) see Bacry, Henri, 92j:70016 

Gorskii, A.S. W,, symmetry in the KdV hierarchy. (Russian) 92i:58076 

Grifone, Joseph see Cabau, Patrick; et al., 92k:58283 

Ibragimov, N. Kh. * Onsit rpynnosoro aHasH3a OO6bIKHOBeHHBIX AuddepeHHaIbHBIX 
ypabHenuit. (Russian) [The experience of group analysis of ordinary differential 
equations] 92i:34001 

Iwai, Toshihiro (with Uwano, Y.) The MIC-Kepler problem and its symmetry group for 
positive energies both in classical and quantum mechanics. 92m:81080 

Jing, Si Cong see Liu, Yan Shen; et al., 92j:70018 

Kibler, Maurice (with Labastie, Pierre) Transformations generalizing the Levi-Civita, 
Kustaanheimo-Stiefel, and Fock transformations. (see 92f:81008) 

Knizhnikova, L. A. see Chechetkin, V. R.; et al., 92m:58084 

Konopel’chenko, B. G. see Fuchssteiner, Benno; et al., 92g:58048 

K Sch bach, Yvette Generalized symmetries, recursion operators and bi- 
Hamiltonian systems. 92d:58078 

Kutvitskii, V. A. see Chechetkin, V. R.; et al., 92m:58084 








1027 1992 


Labastie, Pierre see Kibler, Maurice, (92f:81008) 

Lakshmanan, M. (with Sahadevan, R.) Generalized Lie symmetries and complete 
integrability of certain nonlinear Hamiltonian systems with three degrees of freedom. 
92b:58100 

(Leach, P.G.L.) see Bacry, Henri, 92j:70016 

Levi, D. (with Winternitz, Pavel) Continuous symmetries of discrete equations. 92f:58084 

Li, Xin‘ see Li, Zi Ping, 92j:70017 

Li, Zi Ping (with Li, Xin*) Generalized Noether theorems and applications. 92j:70017 

Liu, Yan Shen (with Jing, Si Cong; Ruan, Tu Nan) The general form of the Lagrangian of 
multiple degree of freedom time-dependent systems with Noether conserved quantities. 
(Chinese) 92j:70018 

(Maino, Giuseppe) see Dynamical symmetries and chaotic behaviour in physical systems, 
92c:58025 

Mehdi, Mohamad see Caban, Patrick; et al., 92k:58283 

Moreira, I.C. (with Ritter,O.M.) Lie symmetries and invariants for the time-dependent 
generalizations of the equation R + C,R"L+ C,R"R=0. 924:34033 

— see also Duarte, L. G. S.; et al., 92d:58187 

Olver, Peter J. Recursion operators and Hamiltonian systems. 92j:58094 

Papachristou, C. J. Lax pair, hidden symmetries, and infinite sequences of conserved 
currents for self-dual Yang-Mills fields. 92£:58086 

(Pettini, Marco) see Dynamical symmetries and chaotic behaviour in physical systems, 
92¢:58025 

Punithavathi, P. see Tamizhmani, K. M., 92b:35136 

Revenko, I. V. Hamiltonian systems: symmetry, integrals of motion, Lax representation. 
(Russian) (see 92b:35011) 

Ritter,O.M. see Moreira, I. C., 92d:34033 

Roy, Shibaji see Das, Ashok, 92e:58088 

Ruan, Tu Nan see Liu, Yan Shen; et al., 92j:70018 

Sahadevan, R. see Lakshmanan, M., 92b:58100 

Sakai, Kazuhiro Diffeomorphisms with pseudo orbit tracing property. (see 92m:58003) 

Steeb, Willi-Hans see Duarte, L. G. S.; et al., 92d:58187 

Tamizhmani, K. M. (with Punithavathi, P.) Similarity reductions and Painlevé property of 
the coupled higher-dimensional Burgers’ equation. 92b:35136 

Uwano, Y. see Iwai, Toshihiro, 92m:81080 

Vorob’ev, E.M. Reduction and quotient equations for differential equations with symme- 
tries. 92i:58206 

Winternitz, Pavel Kac-Moody-Virasoro symmetries of integrable nonlinear partial 
differential equations. 92¢:58055 

— Kac-Moody-Virasoro symmetries of integrable nonlinear evolution equations. 92d:58091 

— see also Levi, D., 92£:58084 

Zhang, You Jin Symmetries and the related Lie algebraic structure of the principal chiral 
field equation. (Chinese summary) 92e:58104 


Items listed otherwise than by author 


Bologna * Dynamical symmetries and chaotic behaviour in physical systems. 92c:58025 
Dynamical symmetries and chaotic behaviour in physical systems * Dynamical symmetries 
and chaotic behaviour in physical systems. 92¢:58025 
Workshop: 
Mathematical Physics and Nonlinear Dynamics * Dynamical symmetries and chaotic 
behaviour in physical systems. 92¢:58025 


58F36 Normal forms 


Andrade, R. F.S. see Rauh, A.; et al., 92f:58158 and Miranda Filho, R. C., 92h:58178 

Baider, Alberto (with Sanders, Jan A.) Unique normal forms: the nilpotent Hamiltonian 
case. 92g:58113 

Bazzani, Armando see Turchetti, Giorgio; et al., (92c:58025) 

Brunella, Marco A generalization of the Grobman-Hartman theorem for plane vector fields, 
through Newton polyhedra. 92c:58132 

Bryuno, A. D. Local method of nonlinear analysis. 92k:58242 

— On small divisors. 92k:58243 

— Normal form of a system that is close to Hamiltonian. (Russian) 92e:58187 

— On a finitely smooth linearization of a system of differential equations near a hyperbolic 
singular point. (Russian) 92j:58092 

Bykov, N. A. Smooth equivalence of vector fields on the circle. (Russian. English summary) 
92d:58185 

Chekanov, N. A. (with Gonchar, V. Yu.; Markovskii, B. L.; Vinitskii, S. I.) * Normal form 
and approximate integrals of two-dimensional Hamiltonian systems. 92k:58244 

Chen, Jian Hua (with Li, Lei) A note on local simplification of vector fields and Frovenius’ 
theorem. (Chinese. English summary) 92i:58164 

Eliasson, L.H. Hamiltonian systems with linear normal form near an invariant torus. 
921:58156 

Freire Macias, Emilio see Gamero, Estanislao; et al., 92d:58186 

Gamero, Estanislao (with Freire Macias, Emilio; Ponce, Enrique) Normal forms for planar 
systems with nilpotent linear part. 92d:58186 

Giovannozzi, M. see Turchetti, Giorgio; et al., (92c:58025) 

Gonchar, V. Yu. see Chekanov, N. A.; et al., 92k:58244 

Goédziewski, Krzysztof see Maciejewski, Andrzej J., 92j:58093 

Il'yashenko, Yu. S. (with Yakovenko, S. Yu.) Finitely smooth normal forms of local 
families of diffeomorphisms and vector fields. (Russian) 92i:58165 

Ito, Hidekazu On singularities of analytic integrable systems and Birkhoff normal form. 
92e:58188 

Kougias, Ch. F. see Rauh, A.; et al., 92f:58158 

Kuznetsov, Yurii Aleksandrovich (with Rinaldi, Sergio) Numerical analysis of the flip 
bifurcation of maps. 92f:58157 

Lewis, Debra (with Marsden, J. E.; Ratiu, T. S.; Simo, Juan C.) Normalizing connections 
and the energy-momentum method. 92¢:58189 

Li, Lei see Chen, Jian Hua; et al., 92i:58164 

Maciejewski, Andrzej J. (with Gozdziewski, Krzysztof) Normalization algorithms of 
Hamiltonian near an equilibrium point. 92j:58093 


58F Ordinary differential equations on manifolds; dynamical systems 


Markovskii, B. L. see Chekanov, N. A.; et al., 92k:58244 

Marsden, J. E. see Lewis, Debra; et al., 92e:58189 

Medved, Milan Normal forms and bifurcations of some equivariant vector fields. (Russian 
summary) 92c¢:58133 

Meyer, Kenneth R. Lie transform tutorial. II. 92¢:58134 

Miranda Filho, R. C. (with Andrade, R. F.S.) Normal form analysis of integrable 
Hamiltonian systems. 92h:58178 

Molino, Pierre Du théoréme d’Arnold-Liouville aux formes normales de systtmes 
hamiltoniens toriques: une conjecture. [From the Arnol’d-Liouville theorem to normal 
forms of toric Hamiltonian systems: a conjecture] 92k:58245 

Montaldi, James (with Roberts, Mark; Stewart, Ian N.) Existence of nonlinear normal 
modes of symmetric Hamiltonian systems. 92e:58190 

— (with Roberts, Mark; Stewart, Ian N.) Stability of nonlinear normal modes of symmetric 
Hamiltonian systems. 92¢e:58191 

Pismen, L. M. Prototype long-scale equations of dissipative dynamics. 92a:58122 

Ponce, Enrique see Gamero, Estanislao; et al., 92d:58186 

Ratiu, T.S. see Lewis, Debra; et al., 92e:58189 

Rauh, A. (with Andrade, R. F. S.; Kougias, Ch. F.) Symmetry in the normal form of the 
Hénon-Heiles Hamiltonian. 92f:58158 

Rinaldi, Sergio see Kuznetsov, Yurii Aleksandrovich, 92f:58157 

Roberts, Mark see Montaldi, James; et al., 92e:58190 and 92e:58191 

Sanders, Jan A. see Baider, Alberto, 92g:58113 

Schmidt, Dieter S. Transformation to versal normal form. 92b:58210 

Servizi, G. (with Turchetti, Giorgio) Normal form singularities in area-preserving maps and 
analytic continuation by Padé approximants. 92b:58211a 

— (with Turchetti, Giorgio) Errata: “Normal form singularities in area-preserving maps and 
analytic continuation by Padé approximants”. 92b:58211b 

— see also Turchetti, Giorgio; et al., (92c:58025) 

Simo, Juan C. see Lewis, Debra; et al., 92e:58189 

Sosnitskii, S. P. On the normal form of Hamiltonian systems near an equilibrium position. 
(Russian) 92b:58212 

Stewart, Ian N. see Montaldi, James; et al., 92e:58190 and 92e:58191 

Stolovitch, Laurent Sur les forms normales de systémes nilpotents. (English summary) [On 
normal forms of nilpotent systems] 92m:58120 

Tedesco, E. see Turchetti, Giorgio; et al., (92c:58025) 

Turchetti, Giorgio (with Bazzani, Armando; Giovannozzi, M.; Servizi, G.; Todesco, E.) 
Normal forms for symplectic maps and stability of beams in particle accelerators. (see 
92c¢:58025) 

— see also Servizi, G., 92b:58211a and 92b:58211b 

Ueda, Tetsuo Local structure of analytic transformations of two complex variables. II. 
92i:58166 

Vickers, J. A. G. Infinite-dimensional inverse function theorems and small divisors. 
92a:58123 

Vinitskii, S. 1. see Chekanov, N. A.; et al., 92k:58244 

Wang, Duo Applications of the representation theory of sl(2, R) to normal form theory. 
92e:58192 

Yakovenko, S. Yu. see Il'yashenko, Yu. S., 92i:58165 

Yang, Xin An (with Zhang, Jian Feng) Algebraic classification of polynomial systems in the 
plane. 92a:58124 

Zhang, Jian Feng see Yang, Xin An; et al., 92a:58124 


Items with secondary classifications in 58F36 

Basov, V. V. (with Ruiz Chaveco, Antonio Ivan; Velazquez, A.; Bermudez, Juana Emilia) 
Generalized quasinormal form for systems of ordinary differential equations. (Spanish. 
Englishsummary) 92f:34028 

Bermudez, Juana Emilia see Basov, V. V.; et al., 92f:34028 

Bogdanov, R. I. Symplectic orbital equivalence of vector fields on the plane (elementary 
singular points). (Russian) 92b:58153 

Broer, H. W. Quasi-periodic bifurcations, applications. 92f:58118 

Bruschi, M. (with Ragnisco, O.; Santini, P. M.; Tu, Gui Zhang) Integrable symplectic maps. 
92g:58031 

Bryuno, A. D. Bifurcations of periodic solutions in the symmetric case of a multiple pair of 
imaginary eigenvalues. (Russian. English summary) 92e:58141 

— Asystem that is similar to a normal form. (Russian) 92¢:34049 

Cerveau, Dominique Résultats de type Artin pour les systemes dynamiques holomorphes. 
[Artin-type results for holomorphic dynamical systems] 92f:32067 

Chekanov, N. A. see Gonchar, V. Yu.; et al., 92c:70002 

Chow, Shui-Nee (with Lu, Kening; Shen, Yun Qiu) Normal form and linearization for 
quasiperiodic systems. 92g:34048 

Crehan, P. The proper quantum analogue of the Birkhoff-Gustavson method of normal 
forms. 92a:81078 

Desolneux-Moulis, Nicole Singular Lagrangian foliation associated to an integrable 
Hamiltonian vector field. 92d:58066 

Dufour, Jean-Paul (with Molino, Pierre) Compactification d’actions de R” et variables 
action-angle avec singularités. [Compactification of actions in R” and action-angle 
variables with singularities] 92b:58066 

— Hyperbolic actions of R? on Poisson manifolds. 92c:58029 

Dumortier, Freddy (with Roussarie, R.) On the saddle loop bifurcation. 92b:58156 

— Transition functions and moduli of stability for 3-dimensional homogeneous vector fields 
with a hyperbolic blowing-up. 92h:58140 

Ecalle, Jean P. Finitude des cycles-limites et accéléro-sommation de l’application de retour. 
[Finiteness of limit-cycles and accelero-summation of the return mapping] 92e:58166 

Eckhardt, Bruno (with Wintgen, Dieter) Indices in classical mechanics. 92k:70018 

Fassd, Francesco Lie series method for vector fields and Hamiltonian perturbation theory. 
92¢:58126 

Furter, J. E. On the bifurcations of subharmonics in reversible systems. 92i:58134 

Gavrilov, N. K. Some bifurcations of equilibrium states of codimension two of zero- 
divergence vector fields. 92d:58148 

Gonchar, V. Yu. (with Chekanov, N. A.; Markovskii, B. L.; Rostovtsev, V. A.; Vinitskii, 
S. 1.) * The program of analytical calculation of the normal Birkhoff-Gustavson form. 





58F36 


92¢:70002 

Hitchin, Nigel J. Vector fields on the circle. 92e:17030 

Il'yashenko, Yu. S. (with Khovanskii, A.G.) Galois groups, Stokes operators and a theorem 
of Ramis. (Russian) 92f:32038 

lIooss, G. (with Mielke, Alexander) Reduction and normalization of hydrodynamical 
stability problems in infinitely long cylinders. 92k:76029 

Ito, Hidekazu Action-angle coordinates at singularities for analytic integrable systems. 
92e:58069 

Jacobs, S. J. Existence of a slow manifold in a model system of equations. 92m:34100 

Khovanskii, A. G. see Il'yashenko, Yu. S., 92f:32038 

Kirk, Vivien Breaking of symmetry in the saddle-node Hopf bifurcation. 92g:58096 

Kokubu, Hiroshi see Oka, Hiroe, 92h:58144 

Kozma, Jézsef On the differentiability of loopmultiplication in canonical coordinate-system. 
92h:22008 

Krause, Jorge (with Michel, Louis) Classification of the symmetries of ordinary differential 
equations. 92m:58119 

Lahiri, Avijit see Sevryuk, M. B., 92h:58148 

Lu, Kening see Chow, Shui-Nee; et al., 92g:34048 

Markovskii, B. L. see Gonchar, V. Yu.; et al., 92c:70002 

Marmi, Stefano Diophantine conditions and estimates for the Siegel radius: analytical and 
numerical results. 92k:58230 

Michel, Louis see Krause, Jorge, 92m:58119 

Mielke, Alexander see Iooss, G., 92k:76029 

Molino, Pierre see Dufour, Jean-Paul, 92b:58066 

Mourtada, Abderaouf Cyclicité finie des polycycles hyperboliques de champs de vecteurs 
du plan: mise sous forme normale. [Finite cyclicity in normal form of the hyperbolic 
polycycles of vector fields of the plane] 92d:58168 

Nezbailo, T. G. Reduction of ordinary differential equations to a form with constant 
coefficients. (Russian) 92d:34082 

Oka, Hiroe (with Kokubu, Hiroshi) Versal unfoldings of constrained systems of corank 1. 
92h:58144 

Popov, Georgi S. Quasimodes for the Laplace operator and glancing hypersurfaces. 
92e:35013 

Ragnisco, O. see Bruschi, M.; et al., 92g:58031 

Romanovskii, V.G. The properties of an ideal that is generated by Lyapunov quantities. 
(Russian) 92h:58164 

Rostovtsev, V. A. see Gonchar, V. Yu.; et al., 92c:70002 

Roussarie, R. see Dumortier, Freddy, 92b:58156 

Ruiz Chaveco, Antonio Ivan On the application of the theory of normal forms to the study of 
the stability of motion in some critical cases. (Spanish. English summary) 92f:34029 

— see also Basov, V. V.; et al., 92f:34028 

Salvadori, L. Existence and stability of bifurcating periodic solutions of planar periodic 
systems at resonance. 92j:58087 

Santini, P. M. see Bruschi, M.; et al., 92g:58031 

Sergeichuk, V. V. A remark on the classification of holomorphic matrices up to similarity. 
(Russian) 92k:58035 

Sevryuk, M. B. (with Lahiri, Avijit) Bifurcations of families of invariant curves in four- 
dimensional reversible mappings. 92h:58148 

Shadwick, William F. Lie pseudogroups, symmetries and normal forms. 924:58224 

Shen, Yun Qiu see Chow, Shui-Nee; et al., 92g:34048 

Shulman, E.I. see Zakharov, V. E., 92c:35091 

Tchoni, K. Towards a differential topological classification of robot manipulators. 92e:70003 

Tu, Gui Zhang see Bruschi, M.; et al., 92g:58031 

Vanderbauwhede, André Hopf bifurcation for equivariant conservative and time-reversible 
systems. 92f:58125 

Velazquez, A. see Basov, V. V.; et al., 92f:34028 

Vinitskii, S.1. see Gonchar, V. Yu.; et al., 92c:70002 

Vittot, Michel Birkhoff expansions in Hamiltonian mechanics: a simplification of the 
combinatorics. 92j:58039 

Walcher, Sebastian On differential equations in normal form. 92m:34086 

Wintgen, Dieter see Eckhardt, Bruno, 92k:70018 

Zakharov, V.E. (with Shul'man, E. 1.) Integrability of nonlinear systems and perturbation 
theory. 92¢:35091 

Zhitomirskii, M. Ya. Normal forms of distribution germs with a fixed segment of the growth 
vector. (Russian) 92a:58006 


58F37 Correspondences and other transformation methods (e.g. 
Lie-Backlund) 


Beckers, J. (with Gagnon, Langis; Hussin, Véronique; Winternitz, Pavel) Superposition 
formulas for nonlinear superequations. 92e:58193 

Boiti, M. (with Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. K.) New features of 
Backlund and Darboux transformations in 2 + 1 dimensions. 92i:58167 

— see also Pempinelli, F.; et al., 92g:58114 

Chan, Wai Leung (with Zheng, Yu Kun) Nonisospectral variable-coefficient higher-order 
Korteweg-de Vries equations. 92a:58125 

Chang, Kuo Lung (with Hwang, P.S.) The Painlevé property and Backlund transformation 
for the equations of exact resonance. 

Chayet, Sergio see Hojman, Sergio A.; et al., 924:58188 

Chen, Deng Yuan (with Zhu, Guo Cheng; Li, Yi Shen) The symmetries of a matrix 
evolution equation of KdV type and its Lie algebra. (Chinese. English summary) 
92e:58194 

— (with Zhu, Guo Cheng; Li, Yi Shen) New symmetries for a matrix evolution equation of 
AKNS type and its Lie algebra. (Chinese) 92c:58135 

Deift, Percy (with Li, Luen Chau) Poisson geometry of the analog of the Miura maps and 
Backlund-Darboux transformations for equations of Toda type and periodic Toda flows. 
92i:58168 

D’Hoker, Eric Generalized Lax and Backlund equations for Liouville and super-Liouville 
theory. 92h:58179 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 


Duarte, L.G.S. (with Moreira, I. C.; Euler, N.; Steeb, Willi-Hans) Invertible point 
transformations, Lie symmetries and the Painlevé test for the equation ¥ + f\(t)x + 
Ao(t)x + fa(t)x" = 0. 92d:58187 

El-Sabbagh, M. F. The Painlevé property and coordinate transformations. 92k:58246 

Euler, N. see Duarte, L. G. S.; et al., 92d:58187 

Ferapontov, E. V. Hamiltonian systems of hydrodynamic type and their realizations on 
hypersurfaces of a pseudo-Euclidean space. (Russian) 92f:58159 

Fujimoto, Atsuo (with Watanabe, Yoshihide) Classification of fifth-order polynomial 
evolution equations of not normal type admitting infinitely many symmetries. 92b:58213 

Gagnon, Langis see Beckers, J.; et al., 92¢:58193 

Gu, Chao Hao On the Darboux form of Backlund transformations. 92c:58136 

Hai, Wen Hua Canonical Backlund transformations and new solutions of some field 
equations. 92a:58126 

van den Hijligenberg, N. W. see Roelofs, G. H. M., 92e:58195 

Hojman, Sergio A. (with Chayet, Sergio; Ninez, Dario; Roque, Marco A.) An algorithm to 
relate general solutions of different bidimensional problems. 92d:58188 

Hou, Bo Yu (with Li, Wei’) The relationships between inverse scattering techniques and 
conformal symmetry transformations in certain nonlinear systems. 92b:58214 

Hussin, Véronique see Beckers, J.; et al., 92e:58193 

Hwang, P.S. see Chang, Kuo Lung 

Klyuchkovskii, Yu. B. (with Tretyak, V. 1.) Tangent Lie-Backlund transformations and the 
structure of quasi-invariant Lagrangians. (Russian) 92d:58189 

Leon, Jéréme Jp. see Pempinelli, F.; et al., 92g:58114 

Li, Luen Chau see Deift, Percy, 92i:58168 

Li, Wei’ see Hou, Bo Yu, 92b:58214 

Li, YiShen see Chen, Deng Yuan; et al., 92c:58135 and 92e:58194 

Liu, Qi Ming Transformation for the solutions of the two-dimensional Toda lattice. 
92h:58180 

Martina, L. see Pempinelli, F.; et al., 92g:58114 

Moreira, I.C. see Duarte, L. G. S.; et al., 92d:58187 

Musette, M. Painlevé-Darboux transformation in nonlinear PDEs. (see 92a:00040) 

— Painlevé analysis for integrable and nonintegrable P.D.E.s. 92k:58247 

Niifiez, Dario see Hojman, Sergio A.; et al., 92d:58188 

Olver, Peter J. Recursion operators and Hamiltonian systems. 92j:58094 

Pasquier, J.-Y. (with Pasquier, R.) Paired integral expressions associated with some 
nonlinear partial differential equations: basic definitions in one example. 924:58190 

Pasquier, R. see Pasquier, J.-Y., 92d:58190 

Pempinelli, F. (with Boiti, M.; Leon, Jéréme Jp.; Martina, L.) Backlund transformations 
and localized solitons in multidimensions. 92g:58114 

— see also Boiti, M.; et al., 92i:58167 

Pogrebkov, A. K. see Boiti, M.; et al., 92i:58167 

Polivanov, M. K. see Boiti, M.; et al., 92i:58167 

Roelofs, G. H. M. (with van den Hijligenberg, N. W.) Prolongation structures for 
supersymmetric equations. 92e:58195 

Rogers, Colin Backlund transformations in soliton theory. (see 92£:58090) 

Roque, Marco A. see Hojman, Sergio A.; et al., 92d:58188 

Sakovich, S. Yu. On special Backlund autotransformations. 92a:58127 

— Fujimoto-Watanabe equations and differential substitutions. 92c:58137 

Steeb, Willi-Hans see Duarte, L. G. S.; et al., 92d:58187 

Tretyak, V.I. see Klyuchkovskii, Yu. B., 92d:58189 

Watanabe, Yoshihide see Fujimoto, Atsuo, 92b:58213 

Weiss, John Backlund transformations and the Painlevé property. 92d:58192 

— Backlund transformations and the Painlevé property. 924:58191 

— Factorization of the (2 + 1)-dimensional BLP integrable system by the periodic fixed 
points of its Backlund transformations. 92k:58248 

Winternitz, Pavel see Beckers, J.; et al., 92e:58193 

Yamilov, R.I. Invertible substitutions of variables generated by Backlund transformations. 
(Russian. English summary) 92e:58196 

Zheng, Yu Kun see Chan, Wai Leung, 92a:58125 

Zhong, Zai Zhe Regular double Riemann-Hilbert probl and double Kac-Moody 
algebraic structures for two-dimensional reduced gravity. 92e:58197 

Zhou, Zi Xiang Determination of nondegenerate Darboux operators of first order in 1 + 2 
dimensions. 92c:58138 

Zhu, Guo Cheng see Chen, Deng Yuan; et al., 92c:58135 and 92e:58194 


Items with secondary classifications in 58F37 

Ablowitz, Mark J. Painlevé equations and the inverse scattering and inverse monodromy 
transforms. 92¢:35147 

Asano, Naruyoshi (with Kato, Yusuke) * Algebraic and spectral methods for nonlinear 
wave equations. 92d:35001 

Au, Chi A series of new exact solutions to the nonlinear equation y; + Yxxx — 6y”yx + 
6Ay, = 0. 924:35256 

Blaszak, Maciej Symmetries, conservation laws and multisoliton perturbation theory. 
92k:58101 

Bluman, George Potential symmetries. 92m:35012 

Boiti, M. (with Leon, Jéréme Jp.; Pempinelli, F.; Pogrebh 
transform for the DSI and KPI equations. 92j:35170 

Bouquet, Serge (with Feix, Marc R.; Leach, P.G. L.) Properties of second-order ordinary 
differential equations invariant under time translation and self-similar transformation. 
92c:58130 

Brugarino, Tommaso (with Greco, Antonio M.) Painlevé analysis and reducibility to the 
canonical form for the generalized Kadomtsev-Petviashvili equation. 92c:58042 

Calogero, F. (with Ji, Xiao Da) C-integrable nonlinear partial differentiation equations. I. 
92a:58060 

Capel, H. W. Integrable lattice equations and hierarchies. 92g:58043 

Chen, De Fang see Lou, Sen Yue; et al., 92h:58086 

Chen, Wei Zhong see Lou, Sen Yue; et al., 92h:58086 

Cheng, Yi! (2 + 1)-dimensional integrable hierarchies, Lax operators and relevant algebraic 
structures. 92g:58044 

— see also Wang, Cun Qi; et al., 924:35262 








,A.K.) Solitons and spectral 





1029 1992 


Clarkson, Peter A. (with Winternitz, Pavel) Nonclassical symmetry reductions for the 
Kadomtsev-Petviashvili equation. 92h:35204 

Daniel, Muthiah (with Sahadevan, R.) Painlevé analysis and integrability of the evolution 
equation u; = Uxxx + UPuxx + 3uuz + fusu,. 92d:35276 

Euler, N. (with Steeb, Willi-Hans; Mulser, P.) Lie Backlund vector fields and similarity 
solutions. 92¢:35105 

Feix, Marc R. see Bouquet, Serge; et al., 92c:58130 

Flaschka, Hermann (with Newell, Alan C.; Tabor, M.) Integrability. 92i:58074 

Gaida, R. P. (with Klyuchkovskii, Yu. B.; Tretyak, V. I.) A group-theoretic approach to the 
construction of relativistic Lagrangian mechanics of a system of particles. (Ukrainian. 
Russian summary) 92m:58044 

Gerdzhikov, V.S. Generating operators and Zy-reductions. (see 92i:58002) 

Gragert, Peter K. H. (with Kersten, Paul H. M.) Graded differential geometry in REDUCE: 
supersymmetry structures of the modified KdV equation. 92h:58003 

Greco, Antonio M. see Brugarino, Tommaso, 92c:58042 

Gu, Xin Shen Multiple Darboux transformations and multiple pole solutions for AKNS 
hierarchy. 92d:35247 

— Double Darboux transformation for AKNS hierarchy. 92i:35118 

Gu, Zhu Quan New integrable systems and the mKdV hierarchy. 92m:58059 

Guo, Fu Kui A bilinear Backlund transformation with two parameters for the Boussinesq 
equation. (Chinese. English summary) 92g:35193 

Huang, Nian Ning Darboux transformations for the Korteweg-de Vries equation. 92j:35161 

Ishii, Masaharu Painlevé property and algebraic integrability of single variable ordinary 
differential equations with dominants. 92d:34013 

Ji, Xiao Da see Calogero, F., 92a:58060 

Kajiwara, Kenji (with Satsuma, Junkichi) The conserved quantities and symmetries of the 
two-dimensional Toda lattice hierarchy. 92b:58093 

Kamran, Niky An introduction to the equivalence problem of Elie Cartan illustrated by 
examples. 92i:58006 

— Contributions to the study of the equivalence problem of Elie Cartan and its applications 
to partial and ordinary differential equations. (French summary) 92h:58008 

Kato, Yusuke see Asano, Naruyoshi, 92d:35001 

Kersten, Paul H. M. see Gragert, Peter K. H., 92h:58003 

Khabibullin, I. T. Backlund transformation and integrable initial-boundary value problems. 
(Russian) 92¢:35107 

Kiso, Kazuhiro On the relation between certain evolution equations defined by Lax 
equations. 92b:58096 

Kitaev, A. V. Quadratic transformations for the sixth Painlevé equation. 92d:34014 

Klyuchkovskii, Yu. B. see Gaida, R. P.; et al., 92m:58044 

Konopel'chenko, B. G. (with Strampp, Walter) The AKNS hierarchy as symmetry constraint 
of the KP hierarchy. 92c:35108 

— (with Strampp, Walter) On the structure and properties of the singularity manifold 
equations of the KP hierarchy. 92b:58098 

— (with Rogers, Colin) On (2 + 1)-dimensional nonlinear systems of Loewner-type. 
92k:58115 

— (with Sidorenko, Yu. N.; Strampp, Walter) (1 + 1)-dimensional integrable systems as 
symmetry constraints of (2 + 1)-dimensional systems. 92k:58116 

— (with Rogers, Colin) Backlund and reciprocal transformations: gauge connections. 
92k:58278 


Ky Sah h 





h, Yvette Generalized symmetries, recursion operators and bi- 
Hamiltonian systems. 924:58078 

Lakshmanan, M. see Tamizhmani, K. M.; et al., 924:35130 

Leach, P.G. L. see Bouquet, Serge; et al., 92c:58130 

Leon, Jéréme Jp. Nonlinear evolutions, spectral transform and solitons in 3 + 1 dimensions. 
92d:35279 

— see also Boiti, M.; et al., 92j:35170 

Levi, D. (with Ragnisco, O.) The inhomogeneous Toda lattice: its hierarchy and Darboux- 
Backlund transformations. 92e:58095 

Lou, Sen Yue (with Ruan, Hang Yu; Chen, De Fang; Chen, Wei Zhong) Similarity 
reductions of the KP equation by a direct method. 92h:58086 

— Generalized Boussinesq equation and KdV equation—Painlevé properties, Backlund 
transformations and Lax pairs. 92m:35237 

Ma, Wen Xiu The confocal involutive system and the integrability of the nonlinearized Lax 
systems for AKNS hierarchy. 92b:35148 

— Generators of vector fields and time dependent sy ies of evolution equations. 
92i:58077 

Magri, Franco (with Morosi, C.; Tondo, G.) The geometry of soliton equations. 92i:58078 

Matsukidaira, Junta (with Satsuma, Junkichi) Integrable four-dimensional nonlinear 
lattice expressed by trilinear form. 92d:58082 

Matsuno, Yoshimasa Backlund transformation, conservation laws, and inverse scattering 
transform of a model integrodifferential equation for water waves. 92a:35136 

Morosi, C. see Magri, Franco; et al., 92i:58078 

Mulser, P. see Euler, N.; et al., 92¢:35105 

Newell, Alan C. see Flaschka, Hermann; et al., 92i:58074 

Oevel, Walter Gauge transformations and reciprocal links for integrable equations. 
92j:58052 

Pempinelli, F. see Boiti, M.; et al., 92j:35170 

Pogrebkov, A. K. see Boiti, M.; et al., 92j:35170 

Post, Gerhard On Backlund transformations and identities in bilinear form. 92b:58253 

Ragnisco, O. see Levi, D., 92e:58095 

Reid, Gregory J. Algorithmic determination of Lie symmetry algebras of differential 
equations. 924:58184 

Rogers, Colin see Konopel’chenko, B. G., 92k:58115 and 92k:58278 

Ruan, Hang Yu see Lou, Sen Yue; et al., 92h:58086 

Rubin, Jacques (with Winternitz, Pavel) Point symmetries of conditionally integrable 
nonlinear evolution equations. 92b:58107 

Sahadevan, R. see Tamizhmani, K. M.; et al., 92d:35130 and Daniel, Muthiah, 924:35276 

Saito, Satoru see Saitoh, Noriko, 92b:81140 

Saitoh, Noriko (with Saito, Satoru) Integrable lattice gauge model based on soliton theory. 
92b:81140 





58F Ordinary differential equations on manifolds; dynamical systems 


58F39 


Santini, P.M. Algebraic properties and symmetries of integrable evolution equations. 
92g:58057 


Satsuma, Junkichi see Kajiwara, Kenji, 92b:58093 and Matsukidaira, Junta, 92d:58082 

Sidorenko, Yu. N. see Konopel/chenko, B. G.; et al., 92k:58116 

Sophocleous, C. Miura-type transformations. 92k:35251 

Steeb, Willi-Hans see Euler, N.; et al., 92c:35105 

Strampp, Walter see Konopel/chenko, B. G., 92b:58098; 92c:35108 and 92k:58116 

Tabor, M. see Flaschka, Hermann; et al., 92i:58074 

Tamizhmani, K.M. (with Sahadevan, R.; Lakshmanan, M.) Painlevé property and Lie- 
Backlund symmetries of a class of coupled nonlinear evolution equations. 924:35130 

Tondo, G. see Magri, Franco; et al., 92i:58078 

Tretyak, V.1. see Gaida, R. P.; et al., 92m:58044 

Wang, Cun Qi (with Cheng, Yi') A new Backlund transformation for the MKdV equation 
and a class of new solutions. (Chinese) 92d:35262 

Winternitz, Pavel see Rubin, Jacques, 92b:58107 and Clarkson, Peter A., 92h:35204 

Yoneyama, Tohru Interacting soliton equations and a new way to obtain soliton solution— 
KdV case. (see 92d:58003) 

Zeng, Yun Bo On the use of the Painlevé property for obtaining Miura type transformation. 
92b:35137 

— Recurrence operators and the Painlevé property. (Chinese) 924:35264 


58F39 Dynamical systems treatment of PDE (should be assigned 
another number from 58F) [see also 35B32, 35K57] 


Ablowitz, Mark J. see Herbst, B. M., 92c:58139 

Armbruster, Dieter see Kirby, M.; et al., 92b:58215 

Borodich, S. M. The behavior, as t + +00, of solutions of some nonautonomous equations. 
(Russian) 92f:58160 

Brunovsky, Pavol (with TereStak, Ignac) Regularity of invariant manifolds. 92j:58095 

Cotsiolis, Athanase see Karazeeva, N. A.; et al., 92k:58251 

Debussche, Arnaud (with Temam, Roger) Inertial manifolds and slow manifolds. 
92f:58161 

Demékhin, E. A. (with Tokarev, G. Yu.; Shkadov, V. Ya.) Hierarchy of bifurcations of 
space-periodic structures in a nonlinear model of active dissipative media. 92k:58249 

Demengel, Francoise (with Ghidaglia, Jean-Michel) Some remarks on the smoothness of 
inertial manifolds. 92f:58162 

Desai, Rashmi C. see Puri, Sanjay; et al., 92d:58193 

Dettori, L. Spectral approximations of attractors of a class of semilinear parabolic 
equations. 92k:58250 

Eckmann, Jean-Pierre (with Wayne, C. E.) Propagating fronts and the center manifold 
theorem. 92¢:58198 

Eleonskii, V.M. (with Lerman, L. M.) Nonintegrable field equations and homoclinic loops 
of Hamiltonian systems. 92j:58096 

Ghidaglia, Jean-Michel see Demengel, Francoise, 92f:58162 

Giittinger, W. see Kirby, M.; et al., 92b:58215 

Herbst, B. M. (with Ablowitz, Mark J.) On numerical chaos in the nonlinear Schrodinger 
equation. 92¢:58139 

Kapral, Raymond see Puri, Sanjay; et al., 92d:58193 

Karazeeva, N. A. (with Cotsiolis, Athanase; Oskolkov, A. P.) Dynamical systems generated 
by initial-boundary value problems for equations of motion of linear viscoelastic fluids. 
(Russian) 92k:58251 

Kawahara, Takuji see Kishiba, Seigo; et al., 92j:58097 

Kirby, M. (with Armbruster, Dieter; Giittinger, W.) An approach for the analysis of 
spatially localized oscillations. 92b:58215 

Kishiba, Seigo (with Toh, Sadayoshi; Kawahara, Takuji) An estimation of energy spectra of 
the Ginzburg-Landau chaos. 92j:58097 

Kokubu, Hiroshi (with Nishiura, Yasumasa; Oka, Hiroe) An application of hetero- and 
homoclinic bifurcations to bistable reaction diffusion systems. 92g:58115 

— (with Nishiura, Yasumasa; Oka, Hiroe) Heteroclinic and homoclinic bifurcations in 
bistable reaction diffusion systems. 92a:58128 

Lerman, L. M. see Eleonskii, V. M., 92j:58096 

Mielke, Alexander Locally invariant manifolds for quasilinear parabolic equations. 
92i:58169 

Nishiura, Yasumasa see Kokubu, Hiroshi; et al., 92a:58128 and 92g:58115 

Oka, Hiroe see Kokubu, Hiroshi; et al., 92a:58128 and 92g:58115 

Oskolkov, A. P. see Karazeeva, N. A.; et al., 92k:58251 

Promislow, Keith (with Temam, Roger) Localization and approximation of attractors for 
the Ginzburg-Landau equation. 92m:58121 

Puri, Sanjay (with Desai, Rashmi C.; Kapral, Raymond) Coupled map model with a 
conserved order parameter. 92d:58193 

Romanenko, E. Yu. see Vereikina, M. B., 92a:58129 ; 

Scarpellini, Bruno Center manifolds of infinite dimensions. I. Main results and applications. 
92i:58170 

— Center manifolds of infinite dimensions. II. Proofs of the main results. 92i:58171 

Shkadov, V. Ya. see Demékhin, E. A.; et al., 92k:58249 

So, Joseph Wai-Hung (with Wu, Jian Hong) Topological dimensions of global attractors for 
semilinear PDEs with delays. 92g:58116 

Temam, Roger see Debussche, Arnaud, 92f:58161 and Promislow, Keith, 92m:58121 

Terestak, Igndc see Brunovsky, Pavol, 92j:58095 

Toh, Sadayoshi see Kishiba, Seigo; et al., 92j:58097 

Tokarev, G. Yu. see Demékhin, E. A.; et al., 92k:58249 

Vereikina, M. B. Visualization of the development of space-time chaos in hyperbolic 
systems. (Russian) 92c:58140 

— (with Romanenko, E. Yu.) Modeling of space-time chaos. (Russian. English summary) 
92a:58129 

Wayne, C. E. see Eckmann, Jean-Pierre, 92e:58198 

Wu, Jian Hong see So, Joseph Wai-Hung, 92g:58116 


Items with secondary classifications in 58F39 
Abergel, Frédéric Dimension of invariant sets for Lipschitz continuous semigroups. 





58F39 


92m:35034 

Ablowitz, Mark J. (with Herbst, B. M.) On homoclinic boundaries in the nonlinear 
Schrédinger equation. 924:35265 

Aliev, A. B. (with Aliev, Fakhraddin Abbas oglu) On the existence of minimal attractors 
for nonlinear hyperbolic equations. (Russian. English and Azerbaijani summaries) 
924:35193 

Aliev, Fakhraddin Abbas oglu see Aliev, A. B., 924:35193 

Alouges, Francois (with Debussche, Arnaud) On the qualitative behavior of the orbits of 
a parabolic partial differential equation and its discretization in the neighborhood of a 
hyperbolic fixed point. 92m:58101 

Armbruster, Dieter (with Guckenheimer, John; Kim, Seung-hwan) Resonant surface waves 
in a square container. 92g:76015 

Babin, A. V. (with Vishik, M. I.) * ArrpakTopbi 93B0210(HOHHBIX ypaBHeHHh. (Russian) 
[Attractors of evolution equations] 92f:58101 

— The asymptotic behavior as |x| — oo of functions lying on the attractor of the two- 
dimensional Navier-Stokes system in an unbounded plane domain. (Russian) 92k:35214 

Ball, J. M. (with Holmes, Philip; James, Richard Dana; Pego, Robert L.; Swart, P. J.) On 
the dynamics of fine structure. 924:35194 

Barkley, Dwight see Tuckerman, Laurette S., 92g:76046 

Baumann, Gerd (with Gléckle, W. G.; Nonnenmacher, T. F.) Singular point analysis and 
integrals of motion for coupled nonlinear Schrédinger equations. 92e:35152 

Boudourides, Moses A. (with Nikoudes, Apostolos C.) The attractor of thermosolutal 
convection. 92a:35130 

Brochet, D. (with Hilhorst, Danielle) Universal attractor and inertial sets for the phase field 
model. 92g:35102 

Brunovsky, Pavol (with Komornik, Jozef) Dynamics of first-order partial differential 
equations used to model self-reproducing cell populations. 92f:35044 

Campbell, David K. (with Peyrard, Michel) Chaos and order in nonintegrable model field 
theories. 92h:35197 

Campbell, Sue Ann (with Holmes, Philip) Bifurcation from O(2) symmetric heteroclinic 
cycles with three interacting modes. 92i:58132 

Chow, Shui-Nee (with Lin, Xiao-Biao; Lu, Kening) Smooth invariant foliations in infinite- 
dimensional spaces. 92k:58210 

Debussche, Arnaud A singular perturbation of the Cahn-Hilliard equation. 92i:35011 

— see also Alouges, Francois, 92m:58101 

Demengel, Francoise (with Ghidaglia, Jean-Michel) Inertial manifolds for partial 
differential evolution equations under time-discretization: existence, convergence, and 
applications. (French summary) 92e:35079 

Deng, Bo The existence of infinitely many traveling front and back waves in the FitzHugh- 
Nagumo equations. 92k:35141 

Doelman, Arjen Finite-dimensional models of the Ginzburg-Landau equation. 92b:35139 

— (with Eckhaus, Wiktor) Periodic and quasi-periodic solutions of degenerate modulation 
equations. 92m:58118 

Doering, Charles R. (with Gibbon, John D.) Note on the Constantin-Foias-Temam 
attractor dimension estimate for two-dimensional turbulence. 92¢:35127 

Dubrovin, B. A. On the differential geometry of strongly integrable systems of hydrodynam- 
ics type. (Russian) 92g:35174 

Eckhaus, Wiktor see Doelman, Arjen, 92m:58118 

Eden, A. (with Foias, Ciprian; Temam, Roger) Local and global Lyapunov exponents. 
924:58118 

Ehrenstein, Uwe (with Koch, Werner) * Nonlinear bifurcation study of plane Poiseuille 
flow. 92f:76035 

Eilbeck, J.C. (with Furter, J. E.) Understanding steady-state bifurcation diagrams for a 
model reaction-diffusion system. 92b:58157 

Eizenberg, Alexander The exponential leveling in elliptic singular perturbation problems 
with complicated attractors. 92b:35022 

Eleonskii, V.M. (with Korolev, V. G.; Kulagin, N. E.; Shil/nikov, L. P.) Branching 
bifurcations of vector envelope solitons and integrability of Hamiltonian systems. 
(Russian) 92¢:35145 

Elphick, Christian (with Meron, Ehud) Dynamics of phase singularities in two-dimensional 
oscillating systems. 92m:58097 

Ercolani, Nicholas M. (with Forest, M. G.; McLaughlin, David W.) Geometry of the 
modulational instability. III. Homoclinic orbits for the periodic sine-Gordon equation. 
92k:35242 

Flahaut, Isabelle Approximate inertial manifolds for the sine-Gordon equation. 92g:35192 

Foias, Ciprian The approximation by algebraic sets of the attractors of dissipative ordinary 
or partial differential equations. 92m:35035 

— see also Eden, A.; et al., 92d:58118 

Forest, M. G. see Ercolani, Nicholas M.; et al., 92k:35242 

Fuji Kaoru Methods of centre manifold and multiple scales in the theory of weakly 
nonlinear stability for fluid motions. 92i:76046 

Furter, J. E. see Eilbeck, J. C., 92b:58157 

Fusco, Giorgio (with Rocha, Carlos) A permutation related to the dynamics of a scalar 
parabolic PDE. 92h:35008 

Galaktionov, V. A. (with Vazquez, Juan Luis) Asymptotic behaviour of nonlinear parabolic 
equations with critical exp Ady: ical sy approach. 92k:35128 

Ghidaglia, Jean-Michel (with Temam, Roger) Lower bound on the dimension of the 
attractor for the Navier-Stokes equations in space dimension 3. 92g:35016 

— (with Marzocchi, A.) Finite-dimensional global attractors for strongly damped wave 
equations. (see 92k:35002) 

— (with Marzocchi, A.) Longtime behaviour of strongly damped wave equations, global 
attractors and their dimension. 92¢:35033 

— see also Demengel, Francoise, 92¢:35079 

Gibbon, John D. see Doering, Charles R., 92e:35127 

Glickle, W.G. see Baumann, Gerd; et al., 92e:35152 

Grauer, R. Codimension two interactions of tearing modes. 92e:58146 

Guckenheimer, John see Armbruster, Dieter; et al., 92g:76015 


Hale, Jack K. (with Raugel, Geneviéve) Partial differential equations on thin domains. 
92i:35012 








Haraux, Alain * Systémes dynamiques dissipatifs et applications. (French) [Dissipative 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


dynamical systems and applications] 92b:35002 

Herbst, B. M. see Ablowitz, Mark J., 92d:35265 

Hetzer, Georg (with Schmidt, Paul Ginter) A global attractor and stationary solutions for a 
reaction-diffusion system arising from climate modeling. 92a:35088 

Hilhorst, Danielle see Brochet, D., 92g:35102 

Holmes, Philip see Ball, J. M.; et al., 92d:35194 and Campbell, Sue Ann, 92i:58132 

IVin, A. A. Euler equations with dissipation. (Russian) 92k:35218 

Il'yashenko, Yu. S. The concept of minimal attractor and maximal attractors of partial 
differential equations of the Kuramoto-Sivashinsky type. 92k:58165 

Tooss, G. (with Mielke, Alexander) Bifurcating time-periodic solutions of Navier-Stokes 
equations in infinite cylinders. 92b:35027 

Itoh, Tatsuo On the existence and smoothness of invariant manifolds of semilinear 
evolution equations. 92a:58020 

James, Richard Dana see Ball, J. M.; et al., 92d:35194 

Keller, Joseph B. Diffusively coupled dynamical systems. 92k:35132 

Kim, Seung-hwan see Armbruster, Dieter; et al., 92g:76015 

Koch, Werner see Ehrenstein, Uwe, 92f:76035 

Komornik, Jozef see Brunovsky, Pavol, 92f:35044 

Korolev, V.G. see Eleonskii, V. M.; et al., 92e:35145 

Kostin, I. N. A regular app h to a problem on the attractors of singularly perturbed 
equations. (Russian. English summary) 92i:34083 

Krasil‘nikov, P.S. Generalized spaces of germs of smooth solutions of a first-order equation 
and their connection with the direct Lyapunov method. (Russian) 92d:35069 

Kukavica, Igor On the time analyticity radius of the solutions of the two-dimensional 
Navier-Stokes equations. 92k:35221 

Kulagin, N. E. see Eleonskii, V. M.; et al., 92e:35145 

Ladyzhenskaya, O. A. * Attractors for semigroups and evolution equations. 92k:58040 

Lin, Xiao-Biao see Chow, Shui-Nee; et al., 92k:58210 

Lu, Kening A Hartman-Grobman theorem for scalar reaction-diffusion equations. 
92k:35147 

— see also Chow, Shui-Nee; et al., 92k:58210 

Marzocchi, A. see Ghidaglia, Jean-Michel, 92e:35033 and (92k:35002) 

Matano, Hiroshi Nonlinear partial differential equations and infinite-dimensional 
dynamical systems. (Japanese) 92b:35003 

McDuff, Dusa * Applications of PDE methods by Gromov, Floer, and others to symplectic 
geometry. 92k:58085 

McLaughlin, David W. see Ercolani, Nicholas M.; et al., 92k:35242 

Meron, Ehud see Elphick, Christian, 92m:58097 

Mielke, Alexander see Iooss, G., 92b:35027 

Miklavéit, Milan A sharp condition for existence of an inertial manifold. 92h:34123 

Nepomnyashchii, A. A. The dynamics of defects and the onset of spatial chaos in one- 
dimensional systems. (Russian) 92h:58131 

Nicolaenko, B. (with She, Zhen Su) Symmetry-breaking homoclinic chaos and vorticity 
bursts in periodic Navier-Stokes flows. 92e:76033 

Nikoudes, Apostolos C. see Boudourides, Moses A., 92a:35130 

Nonnenmacher, T. F. see Baumann, Gerd; et al., 92e:35152 

Pego, Robert L. see Ball, J. M.; et al., 92d:35194 

Peyrard, Michel see Campbell, David K., 92h:35197 

Promislow, Keith (with Temam, Roger) Approximate interaction laws for small and large 
waves in the Ginzburg-Landau equation. 92e:35157 

Raugel, Genevieve see Hale, Jack K., 92i:35012 

Rocha, Carlos Properties of the attractor of a scalar parabolic PDE. 92m:35122 

— see also Fusco, Giorgio, 92h:35008 

Romanov, A. V. On the dimension of the center manifold for semilinear parabolic 
equations. (Russian. Ukrainian summary) 92f:35077 

Scarpellini, Bruno Stable manifold constructions for nonlinear wave equations. 92j:35129 

Schmidt, Paul Ginter see Hetzer, Georg, 92a:35088 

She, Zhen Su see Nicolaenko, B., 92e:76033 

Shen, Jie Convergence of approximate attractors for a fully discrete system for reaction- 
diffusion equations. 92d:65155 

Shil/nikov, L. P. see Eleonskii, V. M.; et al., 92e:35145 

Skobelev, B. Yu. Nonlinear theory of hydrodynamic stability and bifurcations of solutions 
of the Navier-Stokes equations. (Russian) 92¢:76031 

Skvortsov, M. Yu. see Vishik, M. I., 92k:35122 

Smith, Hal L. (with Thieme, Horst R.) Convergence for strongly order-preserving 
semiflows. 92m:34145 

Sobolev, V. A. Nonlocal integral manifolds and decoupling of nonlinear parabolic systems 
[in Global analysis and nonlinear equations (Russian), 152-158, Voronezh. Gos. Univ., 
Voronezh, 1988; MR 91c:35064]. (see 92b:58001) 

Sritharan, S.S. * Invariant manifold theory for hydrodynamic transition. 92g:35181 

Swart, P. J. see Ball, J. M.; et al., 92d:35194 

Swinton, Jonathan The stability of homoclinic pulses: a generalisation of Evans’s method. 
92m:35029 

Taboada, Mario Approximate inertial manifolds for parabolic evolutionary equations via 
Yosida approximations. 92m:34146 

Takaé, Peter Large-time behavior of a time-periodic cooperative system of reaction- 
diffusion equations depending on parameters. 92j:35091 

Temam, Roger see Eden, A.; et al., 92d:58118; Promislow, Keith, 92e:35157 and Ghidaglia, 
Jean-Michel, 92g:35016 

Thieme, Horst R. see Smith, Hal L., 92m:34145 

Thom, René On the reversibility (or irreversibility) of time. (see 92m:58036) 

Trifonov, Yu. Ya. Two-periodical and quasi-periodical wave solutions of the Kuramoto- 
Sivashinsky equation and their stability and bifurcations. 92m:35223 

Tuckerman, Laurette S. (with Barkley, Dwight) Bifurcation analysis of the Eckhaus 
instability. 92g:76046 

Vazquez, Juan Luis see Galaktionov, V. A., 92k:35128 

Vishik, M.I. (with Skvortsov, M. Yu.) Asymptotic behavior of elements of attractors 
corresponding to singularly perturbed parabolic equations. (Russian) 92k:35122 

— see also Babin, A. V., 92£:58101 








1031 1992 


58F40 Applications 


Abarbanel, Henry D.1I. see Marteau, P. F., 92h:58182 

Abramovici, Gilles see Aubry, Serge; et al., 92d:58194 

Aicardi, Francesca (with Kawczynski, Andrzej Lech) Erratum: “Period-adding phenom- 
enon in a model of chemical system” [Complex Systems 4 (1990), no. 1, 1-10; MR 
91e:58175]. 

Aihara, Kazuyuki see Judd, Kevin; et al., 92a:58130 

Allain, C. (with Cloitre, M.) Characterizing the lacunarity of random and deterministic 
fractal sets. 92g:58117 

Aubry, Nadine (with Guyonnet, Régis; Lima, Ricardo) Spatiotemporal analysis of complex 
signals: theory and applications. 92h:58181 

Aubry, Serge (with Gosso, Jean-Pierre; Abramovici, Gilles; Raimbault, Jean-Luc; Que- 
merais, Pascal) Effective discommensurations in the incommensurate ground states of 
the extended Frenkel-Kontorowa models. 92d:58194 

Barabdsi, Albert-Laszlé (with Szépfalusy, Péter; Vicsek, Tamas) Multifractal spectra of 
multi-affine functions. 92g:58118 

Brockett, Roger W. (with Faibusovich, L. E.) Toda flows, inverse spectral transform and 
realization theory. 92b:58216 

Cloitre, M. see Allain, C., 92g:58117 

David, Daniel (with Holm, Darryl D.; Tratnik, M. V.) Hamiltonian reduction and complex 
behaviour in nonlinear polarization dynamics. (see 92f:81008) 

— Integrability and chaos in nonlinearly coupled optical beams. 924:58195 

— (with Holm, Darryl D.; Tratnik, M. V.) Hamiltonian chaos in nonlinear optical 
polarization dynamics. 92j:58098 

Dazord, Pierre Sur la géométrie des asservissements. (English summary) [On the geometry 
of control mechanisms] 92m:58122 

De Angelis, R. (with Marsili, M.; Pietronero, Luciano; Vespignani, A.; Wiesmann, H. J.) 
Universality of growth rules in fractal growth. 92m:58123 

Eckmann, Jean-Pierre (with Goren, Gilad; Procaccia, Itamar) Nonequilibrium nucleation 
of topological defects as a deterministic phenomenon. 924:58196 

Epstein, Irving R. see Kepler, Thomas B.; et al., 92k:58253 

Essex, Christopher see Nerenberg, M. A. H., 92b:58217 

Evertsz, Carl J.G. see Mandelbrot, Benoit B., 92m:58124 

Faibusovich, L. E. see Brockett, Roger W., 92b:58216 

Geisel, T. Long-time tails and 1/ f-noise in nonintegrable Hamiltonian systems. 92g:58119 

Goren, Gilad see Eckmann, Jean-Pierre; et al., 92d:58196 

Gosso, Jean-Pierre see Aubry, Serge; et al., 92d:58194 

Grassberger, Peter see Schreiber, Thomas, 92i:58174 

Green, Matthew L. (with Savit, Robert) Dependent variables in broad band continuous 
time series. 92i:58172 

Ginther, R. (with Schapiro, B.; Wagner, P.) Physical complexity and Zipf’s law. 92k:58252 

Guyonnet, Régis see Aubry, Nadine; et al., 92h:58181 

Hadouaj, Hichem (with Malomed, B. A.; Maugin, Gérard A.) Soliton-soliton collisions in a 
generalized Zakharov system. 92f:58163 

Hernandez, Eduardo S. see Jezek, D. M., 92e:58199 

Holm, Darryl D. see David, Daniel; et al., 92j:58098 and (92£:81008) 

Irié, Haruyuki (with Yamaguchi, Hideki; Sato, Masatomo) Deterministic fractal events 
generated by a two-dimensional map. 92i:58173 

Jezek, D. M. (with Hernandez, Eduardo S.) Variational dynamics of quasispin vectors on a 
noncompact manifold. 92e:58199 

Judd, Kevin (with Mees, Alistair I.; Aihara, Kazuyuki; Toyoda, M.) Grid imaging for a two- 
dimensional map. 92a:58130 

Kagan, Michael L. see Kepler, Thomas B.; et al., 92k:58253 

Kawezytiski, Andrzej Lech see Aicardi, Francesca 

Kepler, Thomas B. (with Kagan, Michael L.; Epstein, Irving R.) Geometric phases in 
dissipative systems. 92k:58253 

Kleczka, W. (with Kreuzer, E.; Wilmers, C.) Combined analytical-numerical analysis of 
nonlinear dynamical systems. 92d:58197 

Kreuzer, E. see Kleczka, W.; et al., 92d:58197 

Lee, Shih Chang (with Liang, N. Y.; Tzeng, W. J.) Exact solution of a deterministic 
sandpile model in one dimension. 92k:58254a 

— (with Liang, N. Y.; Tzeng, W. J.) Errata: “Exact solution of a deterministic sandpile 
model in one dimension”. 92k:58254b 

Li, Wentian Expansion-modification systems: a model for spatial 1/f spectra. 92j:58099 

Liang, N. Y. see Lee, Shih Chang; et al., 92k:58254a and 92k:58254b 

Lima, Ricardo see Aubry, Nadine; et al., 92h:58181 

Malomed, B. A. see Hadouaj, Hichem; et al., 92f:58163 

Mandelbrot, Benoit B. (with Evertsz, Carl J.G.) Multifractality of the harmonic measure 
on fractal aggregates, and extended self-similarity. 92m:58124 

Marsili, M. see De Angelis, R.; et al., 92m:58123 

Marteau, P. F. (with Abarbanel, Henry D. 1.) Noise reduction in chaotic time series using 
scaled probabilistic methods. 92h:58182 

Manugin, Gérard A. see Hadouaj, Hichem; et al., 92f:58163 

Mees, Alistair I. see Judd, Kevin; et al., 92a:58130 

Nagatani, Takashi Deterministic avalanches on a branching Koch curve. 92h:58183 

Nerenberg, M. A. H. (with Essex, Christopher) Correlation dimension and systematic 
geometric effects. 92b:58217 

Pietronero, Luciano see De Angelis, R.; et al., 92m:58123 

Procaccia, Itamar see Eckmann, Jean-Pierre; et al., 92d:58196 

Quemerais, Pascal see Aubry, Serge; et al., 92d:58194 

Raimbault, Jean-Luc see Aubry, Serge; et al., 92d:58194 

Rampazzo, Franco On Lagrangian systems with some coordinates as controls. 92m:58125 

Sato, Masatomo see Irié, Haruyuki; et al., 92i:58173 

Savit, Robert see Green, Matthew L., 92i:58172 

Schapiro, B. see Ginther, R.; et al., 92k:58252 

Schreiber, Thomas (with Grassberger, Peter) A simple noise-reduction method for real 
data. 92i:58174 

Sinha, Sudeshna An efficient control algorithm for nonlinear systems. 92c¢:58141 

Smirnov, B. M. * ®u3uKa dpaktanbHbix Knactepos. (Russian) [Physics of fractal aggregates] 


58F Ordinary differential equations on manifolds; dynamical systems 


92g:58120 
Szépfalusy, Péter see Barabasi, Albert-Laszl6; et al., 92g:58118 
Toyoda, M. see Judd, Kevin; et al., 92a:58130 
Tratnik, M. V. see David, Daniel; et al., 92j:58098 and (92:81008) 
Tzeng, W. J. see Lee, Shih Chang; et al., 92k:58254a and 92k:58254b 
Vespignani, A. see De Angelis, R.; et al., 92m:58123 
Vicsek, Tamas see Barabdsi, Albert-Laszld; et al., 92g:58118 
Wagner, P. see Ginther, R.; et al., 92k:58252 
Wellner, Marcel Evidence for a Yang-Mills fractal. 92k:58255 
Wiesmann, H. J. see De Angelis, R.; et al., 92m:58123 
Wilmers, C. see Kleczka, W.; et al., 92d:58197 
Yamaguchi, Hideki see Irié, Haruyuki; et al., 92i:58173 
Zaslavskii, G.M. Stochastic webs and their applications. 92i:58175 


Items with secondary classifications in 58F40 

Adomaitis, Raymond A. (with Kevrekidis, loannis G.) Noninvertibility and the structure of 
basins of attraction in a model adaptive control system. 92d:58114 

— see also Frouzakis, Christos E.; et al., 92f:93066 

Afanas’‘ev, V. V. (with Sagdeev, R. Z.; Zaslavskii, G. M.) Chaotic jets with multifractal 
space-time random walk. 92i:58110 

Afraimovich, V.S. see Aranson, I. S.; et al., 92i:58112 

Alexander, James C. (with Cai, Da Yong) On the dynamics of bursting systems. 92¢:92010 

(Andersson, Ake E.) see Zhang, Wei-Bin, 92b:90058 

Aranson, I.S. (with Afraimovich, V. S.; Rabinovich, M. I.) * Multidimensional strange 
attractors and turbulence. 92i:58112 

Argoul, F. (with Arneodo, Alain; Richetti, P.) Symbolic dynamics in the Belousov- 
Zhabotinskii reaction: an experimental and theoretical approach to Shil'nikov chaos. 
92£:80020 

Arneodo, Alain see Elezgaray, J., 92c:80026 and Argoul, F.; et al., 92f:80020 

Arnold, V. I. Kolmogorov’s hydrodynamic attractors. 92f:76060 

Artuso, Roberto (with Aurell, Erik; Cvitanovi¢, Predrag) Recycling of strange sets. II. 
Applications. 92¢:58105 

Ashwin, Peter (with King, G. P.; Swift, James W.) Three identical oscillators with 
symmetric coupling. 92d:58144 

— Symmetric chaos in systems of three and four forced oscillators. 92d:58145 

Aurell, Erik see Artuso, Roberto; et al., 92c:58105 

Bajaj, A. K. Examples of boundary crisis phenomenon in structural dynamics. 92m:58081 

(Ball, R.C.) see Fractals in the natural sciences, 92m:00019 

Basto Goncalves, Jose Geometric conditions for local controllability. 92k:93071 

(Bauer, Michael A.) see Martienssen, Werner, 92j:00029 

Belyaev, Yu. N. (with Yavorskaya, I. M.) Spherical Couette flow: transitions and onset of 
chaos. (Russian) 92i:76002 

Biesiada, Marek (with Szydiowski, Marek) Mixmaster cosmological models as disturbed 
Toda lattices. 92k:83136 

Billings, S. A. see Haynes, B. R., 92m:93028 

Bloch, Anthony M. The Kahler structure of the total least squares problem, Brockett’s 
steepest descent equations, and constrained flows. (see 92b:93006) 

Bonilla, Luis L. (with Neu, John C.; Spigler, Renato) Nonlinear stability of incoherence and 
collective synchronization in a population of coupled oscillators. 92m:82122 

Bressloff, Paul C. (with Stark, Jaroslav) Neuronal dynamics based on discontinuous circle 
maps. 92¢:92002 

Brown, Forbes T. Hamiltonian and Lagrangian bond graphs. 92k:70006 

(Bunde, Armin) see Fractals and disordered systems, 92m:82002 

Cai, Da Yong see Alexander, James C., 92c:92010 

Camassa, R. (with Wiggins, Stephen) Transport of a passive tracer in time-dependent 
Rayleigh-Bénard convection. 92g:76041 

Campbell, David K. see Newman, William L.; et al., (92a:65021) 

Cantwell, B. J. see Chong, M. S.; et al., 92b:76037 

Carroll, Thomas L. see Pecora, Louis M., 92c:58082 

Casasayas, J. (with Nunes, Ana; Ozorio de Almeida, A. M.) A general model for motion 
bound to an impurity in an anisotropic semiconductor. 92b:81041 

Casdagli, Martin (with Eubank, Stephen; Farmer, J. Doyne; Gibson, John) A theory of 
state space reconstruction in the presence of noise. (see 92f:00011) 

Castro, Liliana see Moiola, Jorge; et al., 92c:58095 

Cendra, Hernan see Moiola, Jorge; et al., 92¢:58095 

Chang, K. (with Kodogeorgiou, A.; Hiibler, Alfred; Jackson, E. Atlee) General resonance 
spectroscopy. 92k:58236 

Chhabra, Ashvin B. (with Sreenivasan, K. R.) Probabilistic multifractals and negative 
dimensions. (see 92£:76006) 

Choie, Y. J. (with Kim, Seung-hwan; Lee, Chung-Nim) Chaotic dynamics and the geometry 
of the error surface in neural networks. 92i:92004 

Chong, M.S. (with Perry, A. E.; Cantwell, B. J.) A general classification of three- 
dimensional flow fields. 92b:76037 

Christiansen, P. L. (with Lomdahl, P. S.; Muto, V.) On a Toda lattice model with a 
transversal degree of freedom. 92d:92023 

Clarke, Bruce L. Stoichiometric network analysis. (see 92m:58093) 

Cvitanovi¢, Predrag see Artuso, Roberto; et al., 92c:58105 

Dankworth, David C. (with Sundaresan, S.; Kevrekidis, loannis G.) Infinite-wavelength 
analysis for two-phase flow: a three-parameter computer-assisted study of global 
bifurcations. 92m:76143 

Davidson, Arthur see Soerensen, M. P.; et al., 92g:58091 

De Abreu-Garcia, J. A. see Mossayebi, F.; et al., 92i:58109 

Degtyarev, G. M. (with Ivanov-Rostovtsev, A. G.; Kolotilo, L. G.; Lyubchenko, O. A.) 
Space-time sy try in open dy ical systems (the D-SELF model). (Russian) 
92j:92006 

Dendrinos, Dimitrios S. Asymptotic stability and quasi-periodicity in form and evolution of 
model socio-spatial structures. 92g:92015 

— Evolution of a ring-attractor in socio-spatial dynamics. 92k:58164 

Desages, Alfredo C. see Moiola, Jorge; et al., 92c:58095 








58F40 


Diekmann, Odo (with Kretzschmar, Mirjam) Patterns in the effects of infectious diseases 
on population growth. 92m:92012 

Dowker, J.S. (with Wei, Mo Zheng) Area-preserving diffeomorphisms and the stability of 
the atmosphere. 92b:58031 

Ebeling, Werner see Feistel, Rainer 

Elezgaray, J. (with Arneodo, Alain) Modeling reaction-diffusion pattern formation in the 
Couette flow reactor. 92c:80026 

Esposito, Giampiero V. M. Errata: “Hamiltonian structure of a Friedmann-Robertson- 
Walker universe with torsion” [Nuovo Cimento B (11) 104 (1989), no. 2, 199-212; MR 
90i:83070). 

Eubank, Stephen see Casdagli, Martin; et al., (92f:00011) 

Eykholt, R. see Zeng, X.; et al. 

de Faria, Margarida see Vilela Mendes, Rui; et al., (92d:00033) 

Farmer, J. Doyne see Casdagli, Martin; et al., (92f:00011) 

Feistel, Rainer (with Ebeling, Werner) * Evolution of complex systems. 

Finn, John M. (with Hanson, James D.; Kan, Ittai; Ott, Edward) Steady fast dynamo flows. 
92e:76061 

Flashner, Henryk see Guttalu, Ramesh S., 92a:34032 

(Fleischmann, M.) see Fractals in the natural sciences, 92m:00019 

Forysiak, W. (with Moloney, J. V.; Harrison, R. G.) Bifurcations of an optically pumped 
three-level laser model. 92h:78019 

Franklin, Stan see Garzon, Max, 92g:68104 

Frisch, Uriel From global scaling, 4 la Kolmogorov, to local multifractal scaling in fully 
developed turbulence. 92f:76057 

(Fronzoni, Leone) see Dynamical symmetries and chaotic behaviour in physical systems, 
92¢:58025 

Frouzakis, Christos E. (with Adomaitis, Raymond A.; Kevrekidis, Ioannis G.) Resonance 
phenomena in an adaptively-controlled system. 92f:93066 

Fuchs, Jiirgen Bosonic superconformal algebras from Hamiltonian reduction. 92m:81244 

Garzon, Max (with Franklin, Stan) Global dynamics in neural networks. II. 92g:68104 

Gibson, John see Casdagli, Martin; et al., (92f:00011) 

Gil, L. Space and time intermittency behaviour of a one-dimensional complex Ginzburg- 
Landau equation. 92g:35183 

Goncharenko, A. M. (with Logvin, Yu. A.; Samson, A. M.; Shapovalov, P. S.; Turovets, S. I.) 
Ermakov Hamiltonian systems in nonlinear optics of elliptic Gaussian beams. 92j:78004 

Gopalsamy, Kondalsamy (with Kulenovié, M. R. S.; Ladas, G.) Oscillations and global 
attractivity in respiratory dynamics. 92f:92019 

Graham, Michael D. (with Steen, Paul H.) Strongly interacting traveling waves and 
quasiperiodic dynamics in porous medium convection. 92k:76032 

Griffiths, D. F. see Yee, H. C.; et al., 921:76075 

Grmela, Miroslav (with Jou, David) A Hamiltonian formulation for two hierarchies of 
thermodynamic evolution equations. 92b:82099 

Guevara, Michael R. Displaced reinjection attractors in an electronic analogue of the 
membrane of the squid giant axon. (see 92m:58093) 

Guttalu, Ramesh S. (with Flashner, Henryk) Analysis of dynamical systems by truncated 
point mappings and cell mapping. 92a:34032 

Hajiéek, Petr (with Kuchay, Karel V.) Transversal affine connection and quantization of 
constrained systems. 92b:81096 

Hanson, James D. see Finn, John M.; et al., 92e:76061 

Harrison, R. G. see Forysiak, W.; et al., 92h:78019 

Hartley, Tom T. see Mossayebi, F.; et al., 92i:58109 

Haug, Peter Structure formation in directional solidification. 92b:80008 

(Havlin, Shlomo) see Fractals and disordered systems, 92m:82002 

Haynes, B. R. (with Billings, S. A.) Method for the global analysis of nonlinear parame- 
trized systems. 92m:93028 

Helmke, Uwe Isospectral flows on symmetric matrices and the Riccati equation. 92c:58048 

(Heng, Heiner) see Martienssen, Werner, 92j:00029 

Hirsch, Morris W. Saturated outputs for high-gain, self-exciting networks. 92b:92004 

Honda, Katsuya see Matsushita, Mitsugu; et al., 92i:58103 

Hibler, Alfred see Chang, K.; et al., 92k:58236 

Hyman, James M. see Newman, William L.; et al., (92a:65021) 

Ida, T. see Tokunaga, R.; et al., 92m:58100 

lizuka, Takeshi see Wadati, Miki; et al., 92h:82115 

Isomaki, Heikki M. see Kantola, S.-P., 92g:58085 

Ivanov-Rostovtsev, A. G. see Degtyarev, G. M.; et al., 92j:92006 

Jackson, E. Atlee see Chang, K.; et al., 92k:58236 

Jahnke, Wolfgang (with Winfree, Arthur T.) A survey of spiral-wave behaviors in the 
Oregonator model. 92c¢:80024 

Jensen, Mogens Modelling fractals and turbulence. (see 92f:00011) 

Jiménez-Lara, Lidia Periodic-orbit structure in the Stormer problem: period 3. (Spanish. 
English summary) 92m:78012 

Jou, David see Grmela, Miroslav, 92b:82099 

Kaashoek, J. F. * Modeling one-dimensional pattern formation by anti-diffusion. 
92e:00008 

Kan, Ittai see Finn, John M.; et al., 92e:76061 

Kang, I.S. (with Leal, L. Gary) Bubble dynamics in time-periodic straining flows. 
92b:76089 

Kantola, S.-P. (with Isomaki, Heikki M.) Chaos, universality and fractals in a dissipative 
growth system. 92g:58085 

Kay, Steven R. Global bifurcations in a simple, autocatalytic reaction. 92d:58151 

Kevrekidis, Ioannis G. see Adomaitis, Raymond A., 92d:58114; Frouzakis, Christos E.; et al., 
92£:93066 and Dankworth, David C.; et al., 92m:76143 

Khrustalev, O. A. see Silaev, P. K.; et al., 92k:81048 

Kim, Seung-hwan see Choie, Y. J.; et al., 92i:92004 

Kimoto, Masahide see Mukougawa, Hitoshi; et al., 92e:86001 

King, G. P. see Ashwin, Peter; et al., 92d:58144 

Klapper,isaac Shadowing and the role of small diffusivity in the chaotic advection of 
scalars. 92k:76049 

Kliemt, Jens see Puppe, Eckehard, 92m:00017 

Kodcgeorgiou, A. see Chang, K.; et al., 92k:58236 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Kolotilo, L.G. see Degtyarev, G. M.; et al., 92j:92006 

Kretzschmar, Mirjam see Diekmann, Odo, 92m:92012 

Krétzsch, Guillermo see Wolf, Kurt Bernardo, 92m:58050 

(Kriiger, Uwe) see Martienssen, Werner, 92j:00029 

Kuchai, Karel V. see Hajitek, Petr, 92b:81096 

Kulenovi¢é, M. R.S. see Gopalsamy, Kondalsamy; et al., 92f:92019 

Kurrer, Christian (with Schulten, Klaus) Effect of noise and perturbations on limit cycle 
systems. 924:92009 

Labos, E. Spike-generating dynamical systems and networks. 92g:92008 

Ladas, G. see Gopalsamy, Kondaisamy; et al., 92f:92019 

Lakshmanan, M. see Murali, K., 92d:58153 

Larsson, Jonas Hermitian structure for the linearized Vlasov-Poisson and Vlasov-Maxwell 
equations. 92a:82121 

Lavkin, A. G. Stochasticity of classical Yang-Mills fields with a nonstandard Lagrangian. 
(Russian) 

Leal, L. Gary see Kang, I. S., 92b:76089 and Szeri, Andrew J.; et al., 92m:76060 

Lee, Chung-Nim see Choie, Y. J.; et al., 92i:92004 

Liu, Chin Hsing (with Yiian, Ching) Geometric approach to nonlinear optimal control 
problems. 92c:93031 

Liu, Jie? (with Sun, Yi Sui) On the Sitnikov problem. 92c¢:70013 

Liu, Zong Chao see Zan, Ting Quan; et al., 92k:92026 

Logvin, Yu. A. see Goncharenko, A. M.,; et al., 92j:78004 

Lomdahl, P.S. see Christiansen, P. L.; et al., 92d:92023 

(Lumley, John L.) see Whither turbulence? Turbulence at the crossroads, 92h:76048 

Lyubchenko, O. A. see Degtyarev, G. M.; et al., 92j:92006 

MacKay, R.S. Scaling exponents at the transition by breaking of analyticity for incommen- 
surate structures. 92¢:82112 

(Maino, Giuseppe) see Dynamical symmetries and chaotic behaviour in physical systems, 
92c:58025 

Malinetskii, G.G. (with Potapov, A. B.; Priimak, V.G.) On the possibility of describing 
turbulent flows of a viscous fluid by an attractor of finite dimension. (Russian) 92k:76047 

Manna, S.S. (with Vicsek, Tamas) Multifractality of space-filling bearings and Apollonian 
packings. 92f:52037 

Marion, Martine Attractors and turbulence for some combustion models. 92g:80013 

Marsden, J. E. (with O’Reilly, O. M.; Wicklin, F. J.; Zombro, B. W.) Symmetry, stability, 
geometric phases, and mechanical integrators. I. 92e:58072 

Martienssen, Werner Deterministisches Chaos—Gesetz und Zufall in der Natur. [Deter- 
ministic chaos—law and chance in nature] 92j:00029 

Matsumoto, Takashi see Tokunaga, R.; et al., 92m:58100 

Matsushita, Mitsugu (with Ouchi, Shunji; Honda, Katsuya) On the fractal structure and 
statistics of contour lines on a self-affine surface. 92i:58103 

Melikyan, A. A. (with Ovakimyan, N. V.) Singular trajectories in a problem of simple 
pursuit on a manifold. (Russian) 92a:90095 

Miller, R. H. A horror story about integration methods. 92a:65073 

Milliken, W. J. see Szeri, Andrew J.; et al., 92m:76060 

Millonas, Mark M. (with Reichl, Linda E.) Stochastic chaos in a class of Fokker-Planck 
equations. 92m:82100 

Mirollo, Renato E. see Strogatz, Steven H., 92h:34077 

Mischaikow, Konstantin Dynamic phase transitions: a connection matrix approach. 
92b:82091 

Miya, K. see Tokunaga, R.; et al., 92m:58100 

Moiola, Jorge (with Castro, Liliana; Cendra, Hernan; Desages, Alfredo C.) Degenerate 
bifurcations and catastrophe sets via frequency analysis. 92c:58095 

Moloney, J. V. see Forysiak, W.; et al., 92h:78019 

Monroe, James L. Phase diagrams of Ising models on Husimi trees. I. Pure multisite 
interaction systems. 92g:82039 

Moon, Francis C. Experimental measurement of chaotic attractors in solid mechanics. 
92i:58126 

Mossayebi, F. (with Hartley, Tom T.; De Abreu-Garcia, J. A.) A fundamental theorem for 
the model reduction of nonlinear systems. 92i:58109 

Mukougawa, Hitoshi (with Kimoto, Masahide; Yoden, Shigeo) A relationship between local 
error growth and quasistationary states: case study in the Lorenz system. 92¢:86001 

Mullin, T. Finite-dimensional dynamics in Taylor-Couette flow. 92a:76040 

Murali, K. (with Lakshmanan, M.) Bifurcation and chaos of the sinusoidally-driven Chua’s 
circuit. 92d:58153 

Muto, V. see Christiansen, P. L.; et al., 92d:92023 

Neu, John C. see Bonilla, Luis L.; et al., 92m:82122 

Newman, William I. (with Campbell, David K.; Hyman, James M.) Identification and 
determination of solitary wave structures in nonlinear wave propagation. (see 92a:65021) 

Nishimura, Kazuo Optimal growth theory and dynamical systems. (see 92b:58005) 

Nunes, Ana see Casasayas, J.; et al., 92b:81041 

O'Reilly, O. M. see Marsden, J. E.; et al., 92e:58072 

Ott, Edward see Finn, John M.; et al., 92e:76061 

Ottino, J. M. see Shariff, Karim; et al., 92k:76027 

Ouchi, Shunji see Matsushita, Mitsugu; et al., 92i:58103 

Ovakimyan, N. V. see Melikyan, A. A., 92a:90095 

Owase, Tatsuji Dynamical system theory and analysis of economic fluctuations. 92¢:90017 

Ozorio de Almeida, A. M. see Casasayas, J.; et al., 92b:81041 

Pagano, S. see Soerensen, M. P.; et al., 92g:58091 

Pecora, Louis M. (with Carroll, Thomas L.) Synchronization in chaotic systems. 92c:58082 

Pedersen, N. F. see Soerensen, M. P.; et al., 92g:58091 

Perdang, J. New results on discrete map simulations of nonlinear pulsations. 92g:85004 

Perry, A. E. see Chong, M. S.; et al., 92b:76037 

(Pettini, Marco) see Dynamical symmetries and chaotic behaviour in physical systems, 
92c:58025 

Pielke, R. A. see Zeng, X.; et al. 

Pierre, Christophe (with Shaw, Steven W.) Mode localization due to symmetry-breaking 
nonlinearities. 92d4:34078 

Potapov, A. B. see Malinetskii, G. G.; et al., 92k:76047 

Priimak, V.G. see Malinetskii, G. G.; et al., 92k:76047 





1033 1992 


Pulliam, T. H. see Shariff, Karim; et al., 92k:76027 

Puppe, Eckehard (with Kliemt, Jens) Deterministisches Chaos und Weltbilder. [Determin- 
istic chaos and images of the world] 92m:00017 

Rabinovich, M. I. see Aranson, I. S.; et al., 92i:58112 

Reich, Sebastian On a geometrical interpretation of differential-algebraic equations. 
92a:58115 

Reichl, Linda E. see Millonas, Mark M., 92m:82100 

Richetti, P. see Argoul, F.; et al., 92f:80020 

Rom-Kedar, Vered (with Wiggins, Stephen) Transport in two-dimensional maps: concepts, 
examples, and a comparison of the theory of Rom-Kedar and Wiggins with the Markov 
model of MacKay, Meiss, Ott, and Percival. 92k:58239 

Rukhlov, V.S. Bifurcations and chaos in nonlinear NMR. 92j:81359 

Sagdeev, R. Z. see Afanas’ev, V. V.; et al., 92i:58110 

Samson, A. M. see Goncharenko, A. M.; et al., 92j:78004 

Schulten, Klaus see Kurrer, Christian, 92d:92009 

Seibert, Peter (with Suarez, Rodolfo) Errata: “Global stabilization of nonlinear cascade 
systems” [Systems Control Lett. 14 (1990), no. 4, 347-352; MR 91b:93146] and “Global 
stabilization of a certain class of nonlinear systems” [ibid. 16 (1991), no. 1, 17-23; MR 
91m:93108]. 

Sextro, Walter see Stelter, Peter, 92b:58163 

Shapovalov, P.S. see Goncharenko, A. M.; et al., 92j:78004 

Shariff, Karim (with Pulliam, T. H.; Ottino, J. M.) A dynamical systems analysis of 
kinematics in the time-periodic wake of a circular cylinder. 92k:76027 

Shaw, Steven W. see Pierre, Christophe, 92d:34078 

Shishkov, S. Yu. Physical meaning of the Casimirs of a four-dimensional ideal fluid. 
(Russian. English summary) 92e:76001 

Shoshitaishvili, A. N. Singularities for projections of integral manifolds with applications to 
control and observation problems. 92g:93034 

Silaev, P. K. (with Tyurin, E. N.; Khrustalev, O. A.) Fractals in quantum theory: analytic 
and numerical approaches. (Russian. English summary) 92k:81048 

Soerensen, M. P. (with Davidson, Arthur; Pedersen, N. F.; Pagano, S.) Global analysis of 
the Josephson junction dynamics using cell mapping. 92g:58091 

Spigler, Renato see Bonilla, Luis L.; et al., 92m:82122 

Sreenivasan, K. R. see Chhabra, Ashvin B., (92f:76006) 

Stark, Jaroslav see Bressloff, Paul C., 92c:92002 

Steen, Paul H. see Graham, Michael D., 92k:76032 

Stelter, Peter (with Sextro, Walter) Bifurcations in dynamic systems with dry friction. 
92b:58163 

Streit, L. see Vilela Mendes, Rui; et al., (92d:00033) 

Strogatz, Steven H. (with Mirollo, Renato E.) Stability of incoherence in a population of 
coupled oscillators. 92h:34077 

Sudrez, Rodolfo see Seibert, Peter 

Sun, Yi Sui see Liu, Jie”, 92c:70013 

Sundaresan, S. see Dankworth, David C.; et al., 92m:76143 

Sweby, P. K. see Yee, H. C.; et al., 92i:76075 

Swift, James W. see Ashwin, Peter; et al., 92d:58144 

Szeri, Andrew J. (with Milliken, W. J.; Leal, L. Gary) Rigid particles suspended in time- 
dependent flows: irregular versus regular motion, disorder versus order. 92m:76060 

Szydiowski, Marek see Biesiada, Marek, 92k:83136 


Temam, Roger Approximation of attractors, large eddy simulations and multiscale methods. 


92£:76061 

Thompson, Mark Kinematic dynamo in random flows. (Portuguese summary) 92¢:76062 

(Tildesley, D. J.) see Fractals in the natural sciences, 92m:00019 

Tokunaga, R. (with Matsumoto, Takashi; Ida, T.; Miya, K.) Homoclinic linkage in the 
double scroll circuit and the cusp-constrained circuit. 92m:58100 

Turovets, S.1I. see Goncharenko, A. M.; et al., 92j:78004 

Tyurin, E. N. see Silaev, P. K.; et al., 92k:81048 

Vicsek, Tamas see Manna, S. S., 92f:52037 

Vilela Mendes, Rui (with de Faria, Margarida; Streit, L.) Map dynamics in gearbox models. 
(see 92d:00033) 

Villarroel, Javier Yang-Mills equations and the inverse scattering transform. 92f:81108 

Vincent, Thomas L. (with Yu, Jian Zu) Control of a chaotic system. 92c:58088 

Wadati, Miki (with lizuka, Takeshi; Yajima, Tetsu) Soliton phenomena in unstable media. 
92h:82115 

Wan, Yieh Hei Nonlinear stability of stationary spherically symmetric models in stellar 
dynamics. 92e:85001 

Wang, Shou Hong Approximate inertial manifolds for the 2D model of atmosphere. 
92b:86009 

— On the 2D model of large-scale atmospheric motion: well-posedness and attractors. 
92i:35101 

Wei, Mo Zheng see Dowker, J. S., 92b:58031 

West, Bruce J. * Fractal physiology and chaos in medicine. 924:92019 

Wicklin, F. J. see Marsden, J. E.; et al., 92e:58072 

Wiggins, Stephen see Camassa, R., 92g:76041 and Rom-Kedar, Vered, 92k:58239 

Winfree, Arthur T. see Jahnke, Wolfgang, 92c:80024 

Wolf, Kurt Bernardo (with Krétzsch, Guillermo) Group-classified polynomials of phase 
space in higher-order aberration expansions. 92m:58050 

Yajima, Tetsu see Wadati, Miki; et al., 92h:82115 

Yang, Hui Jun * Wave packets and their bifurcations in geophysical fluid dynamics. 
92b:86005 

Yavorskaya, I. M. see Belyaev, Yu. N., 92i:76002 

Yee, H.C. (with Sweby, P. K.; Griffiths, D. F.) Dynamical approach study of spurious 
steady-state numerical solutions of nonlinear differential equations. I. The dynamics of 
time discretization and its implications for algorithm development in computational fluid 
dynamics. 92i:76075 

Yoden, Shigeo see Mukougawa, Hitoshi; et al., 92e:86001 

Yu, Jian Zu see Vincent, Thomas L., 92c:58088 

Yiian, Ching see Liu, Chin Hsing, 92c:93031 

Zak, Michail Spontaneously activated sy 





ics. 92b:92013 


: P 
in neurody 


58G Partial differential equations on manifolds; differential operators 


58G03 


Zan, Ting Quan (with Liu, Zong Chao) Study on the complicated dynamical behaviors of 
nonlinear ecosystems. III. (Chinese. English summary) 92k:92026 

Zaslavskii,G.M. see Afanas’ev, V. V.; et al., 92i:58110 

Zeng, X. (with Pielke, R. A.; Eykholt, R.) Estimating the fractal dimension and the 
predictability of the atmosphere. 

Zeytounian, R. Kh. An essay on the transition to turbulence. (Russian and Polish sum- 
maries) 92¢:76038 

Zhang, Wei-Bin * Synergetic economics. 92b:90058 

Zombro, B. W. see Marsden, J. E.; et al., 92e:58072 


Items listed otherwise than by author 


Bologna * Dynamical symmetries and chaotic behaviour in physical systems. 92¢:58025 

Dynamical symmetries and chaotic behaviour in physical systems * Dynamical symmetries 
and chaotic behaviour in physical systems. 92¢:58025 

Fractals and disordered systems * Fractals and disordered systems. 92m:82002 

Fractals in the natural sciences * Fractals in the natural sciences. 92m:00019 

Ithaca, NY * Whither turbulence? Turbul at the ds. 92h:76048 

Lecture Notes in Physics * Whither turbulence? Turbulence at the crossroads. 92h:76048 

Some problems on the theory of dynamical systems in applied sciences * Oyo bunya ni okeru 
rikigaku kei riron no shomondai. (Japanese) [Some problems on the theory of dynamical 
systems in applied sciences] 92m:58035 

Symposium: 

Some Problems on the Theory of Dynamical Systems in Applied Sciences * Oyo bunya ni 
okeru rikigaku kei riron no shomondai. (Japanese) [Some problems on the theory of 
dynamical systems in applied sciences] 92m:58035 

Whither turbulence? Turbulence at the crossroads * Whither turbulence? Turbulence at the 
crossroads. 92h:76048 
Workshop: 

Mathematical Physics and Nonlinear Dynamics * Dynamical symmetries and chaotic 
behaviour in physical systems. 92¢:58025 

Whither turbulence? Turbulence at the crossroads * Whither turbulence? Turbulence at 
the crossroads. 92h:76048 





58F99 None of the above, but in this section 


Arnold, Ludwig Stochastic differential equations as dynamical systems. (see 92b:93006) 
Graczyk, Jacek Harmonic scaling for smooth families of diffeomorphisms of the circle. 
92k:58256 


Items with secondary classifications in 58F99 

Alikakos, Nicholas D. (with Fusco, Giorgio) A dynamical systems proof of the Krein- 
Rutman theorem and an extension of the Perron theorem. 92b:47027 

Barge, Marcy (with Gillette, Richard M.) Rotation and periodicity in plane separating 
continua. 92m:54070 

Fusco, Giorgio see Alikakos, Nicholas D., 92b:47027 

Gillette, Richard M. see Barge, Marcy, 92m:54070 

Hiraide, Koichi Positively expansive open maps of Peano spaces. 92d:54054 

Kossowski, Marek (with Thompson, Gerard) Submersive second order ordinary differen- 
tial equations. 92k:58013 

Sitnitskii, A. E. Colored noise in a stochastic differential equation. 92m:82103 

Thompson, Gerard see Kossowski, Marek, 92k:58013 


58Gxx Partial differential equations on manifolds; 
differential operators [see also 35-XX] 


58G03 Elliptic equations on manifolds, general theory 


Abed, S. H. Laplace operator on a bundle with a Sasaki metric. 92d:58198 

Agranovich, M.S. Spectral properties of elliptic operators of negative order. (see 
92b:35006) 

Bugir, M. K. Oscillatory properties of solutions of partial differential equations on 
manifolds of constant curvature. (Russian) 92m:58126 

Colzani, Leonardo (with Travaglini, Giancarlo) Hardy-Lorentz spaces and expansions in 
eigenfunctions of the Laplace-Beltrami operator on compact manifolds. 92c:58142 

— (with Travaglini, Giancarlo) Estimates for Riesz kernels of eigenfunction expansions of 
elliptic differential operators on compact manifolds. 92i:58176 

Kordyukov, Yu. A. L?-theory of elliptic differential operators on manifolds of bounded 
geometry. 92f:58164 

Kozhevnikov, A. N. Diagonalization of systems, elliptic in the sense of Douglis-Nirenberg, 
on a manifold with boundary. (Russian) 92m:58127 

Li, Jia Yu? Gradient estimates and Harnack inequalities for nonlinear parabolic and 
nonlinear elliptic equations on Riemannian manifolds. 92k:58257 

Omori, Hideki On global hypoellipticity of horizontal Laplacians on compact principal 
bundles. 92£:58165 

Pansu, Pierre Cohomologie L” des variétés 4 courbure négative, cas du degré 1. [L’- 
cohomology of negatively curved manifolds: the degree 1 case] 92e:58200 

Seeger, Andreas Endpoint estimates for multiplier transformations on compact manifolds. 
92£:58166 

Shubin, M. A. Weak Bloch property and weight estimates for elliptic operators. 92f:58167 

(Sjéstrand, Johannes) see Shubin, M. A., 92f:58167 

Skubachevskii, A. L. On the stability of index of nonlocal elliptic problems. 92m:58128 

Stone, Alexander P. Some remarks on generalizations of the Laplace operator. 92k:58258 

Travaglini, Giancarlo see Colzani, Leonardo, 92c:58142 and 92i:58176 


Items with secondary classifications in 58G03 


Besson, Gérard (with Bordoni, Manlio) On the spectrum of Riemannian submersions with 
totally geodesic fibers. (Italian summary) 92a:58144 





58G03 


Boimatov, K. Kh. Multidimensional spectral asymptotics for elliptic differential operators. 
(Russian) 92j:35139 

Bordoni, Manlio see Besson, Gérard, 92a:58144 

Burghelea, D. (with Friedlander, Leonid; Kappeler, Thomas) On the determinant of elliptic 
differential and finite difference operators in vector bundles over S'. 92:58193 

Cianchi, Andrea Elliptic equations on manifolds and isoperimetric inequalities. 92i:58193 

Friedlander, Leonid see Burghelea, D.; et al., 92f:58193 

Gramchev, Todor (with Popivanov, Petr R.; Yoshino, Masafumi) Some note on Gevrey 
hypoellipticity and solvability on torus. 92h:35048 

Guan, Pengfei On an example of a subelliptic boundary value problem. 92h:35056 

Kappeler, Thomas see Burghelea, D.; et al., 92f:58193 

Lin, Fang-Hua Nodal sets of solutions of elliptic and parabolic equations. 92b:58224 

Oledzki, Wiestaw J. On the eta-invariant of Pin*-operator on some exotic 4-dimensional 
projective space. 92b:57027 

Popivanov, Pet’r R. see Gramchev, Todor; et al., 92h:35048 

Schaaf, Renate (with Schmitt, Klaus) Asymptotics for solution branches of semilinear 
elliptic problems at resonance. 92k:35106 

Schmitt, Klaus see Schaaf, Renate, 92k:35106 

Skrzypczak, Leszek Function spaces of Sobolev type on Riemannian symmetric manifolds. 
92h:46046 

Vazquez, Juan Luis (with Véron, Laurent) Solutions positives d’équations elliptiques 
semi-linéaires sur des variétés riemanniennes compactes. (English summary) [Positive 
solutions of semilinear elliptic equations on compact Riemannian manifolds] 92g:35066 

Véron, Laurent see Vazquez, Juan Luis, 92g:35066 

Yoshino, Masafumi see Gramchev, Todor; et al., 92h:35048 


58G05 Differential complexes [see also 35Nxx]; elliptic 
complexes 


El Kacimi-Alaoui, Aziz Opérateurs transversalement elliptiques sur un feuilletage rieman- 
nien et applications. (English summary) [Transversely elliptic operators on a Riemannian 
foliation, and applications] 92k:58259 

Gol'dshtein, V. M. (with Kuz'minov, V. I.; Shvedov, I. A.) Reduced Lp-cohomology of 
warped products. (Russian) 92a:58131 

Heitsch, James L. (with Lazarov, Connor) Homotopy invariance of foliation Betti 
numbers. 92b:58219 

Kuz'minov, V.1I. see Gol'dshtein, V. M.; et al., 92a:58131 

Lazarov, Connor see Heitsch, James L., 92b:58219 

Marvan, M. On the @-spectral sequence with “general” coefficients. 92e:58201 

Mendoza, Gerardo A. (with Tréves, Francois) Local solvability in a class of overdetermined 
systems of linear PDE. 92i:58177 

Min-Oo, Maung (with Ruh, Ernst A.; Tondeur, Philippe) Vanishing theorems for the basic 
cohomology of Riemannian foliations. 92b:58218 

Nagase, Masayoshi Remarks on the L?-Dolbeault cohomology groups of singular algebraic 
surfaces and curves. 92d:58199 

Rubtsov, V. N. Remarks on Lefschetz formulas for elliptic Spencer complexes. (Russian) 
92£:58168 

Ruh, Ernst A. see Min-Oo, Maung; et al., 92b:58218 

Shvedov, I. A. see Gol/dshtein, V. M.; et al., 92a:58131 

Tarkhanov, N. N. * Metog napametpakca B TeopHH uddepeHMabHbIX KOMIMJICKCOB. 
(Russian) [The parametrix method in the theory of differential complexes] 92j:58100 

Tondeur, Philippe see Min-Oo, Maung; et al., 92b:58218 

Tréves, Francois see Mendoza, Gerardo A., 92i:58177 

Tsujishita, Toru Homological method of computing invariants of systems of differential 
equations. 92h:58184 

Zharinov, V. V. Differential algebras and low-dimension conservation laws. (Russian) 
92e:58202 


Items with secondary classifications in 58G05 


(Bahri, Anthony P.) see Gilkey, Peter B., 92b:57043 

(Bendersky, Martin) see Gilkey, Peter B., 92b:57043 

Bismut, Jean-Michel (with Gillet, Henri; Soulé, Christophe) Complex immersions and 
Arakelov geometry. 92a:14019 

— Eta invariants and complex immersions. (French summary) 92¢:58151 

Bryant, Robert L. (with Chern, Shiing Shen; Gardner, Robert B.; Goldschmidt, Hubert; 
Griffiths, Phillip A.) * Exterior differential systems. 92h:58007 

Chern, Shiing Shen see Bryant, Robert L.; et al., 92h:58007 

Donaldson, S. K. (with Kronheimer, Peter B.) * The geometry of four-manifolds. 
92a:57036 

Fox, Jeffrey (with Haskell, Peter; Pardon, William L.) Two themes in index theory on 
singular varieties. 92e:58204 

Gardner, Robert B. see Bryant, Robert L.; et al., 92h:58007 

Gilkey, Peter B. * The geometry of spherical space form groups. 92b:57043 

Gillet, Henri see Bismut, Jean-Michel; et al., 92a:14019 

Goldschmidt, Hubert see Bryant, Robert L.; et al., 92h:58007 

Griffiths, Phillip A. see Bryant, Robert L.; et al., 92h:58007 

Hangan, Théodor Complexes différentiels associés aux pseudo-groupes projectif et 
conforme. (English summary) [Differential complexes associated with the projective and 
conformal pseudogroups] 92d:58227 

Haskell, Peter see Fox, Jeffrey; et al., 92e:58204 

Kronheimer, Peter B. see Donaldson, S. K., 92a:57036 

Luckock, Hugh Mixed boundary conditions in quantum field theory. 92h:81111 

Pardon, William L. see Fox, Jeffrey; et al., 92e:58204 

Pommaret, Jean-Francois Gauge theory and general relativity. 92e:58243 

Robinson, Derek W. * Elliptic operators and Lie groups. 92m:58133 

Soulé, Christophe see Bismut, Jean-Michel; et al., 92a:14019 


58G07 Relations with hyperfunctions 
D’Agnolo, Andrea (with Schapira, Pierre) An inverse image theorem for sheaves with 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


applications to the Cauchy problem. 92k:58260 

— (with Zampieri, Giuseppe) Analysis of the action of a pseudodifferential operator over 
(Cayx) 73.x- 92h:58185 

‘ernandes, Teresa Monteiro Formulation des valeurs au bord pour les systémes reguliers. 

[Boundary value formulation for regular systems] 92k:58261 

(Houzel, Christian) see Kashiwara, Masaki, 92a:58132 

Kashiwara, Masaki (with Schapira, Pierre) * Sheaves on manifolds. 92a:58132 

Ninomiya, Syoiti The Fourier-Sato transformation of pure sheaves. 92i:58178 

Schapira, Pierre see Kashiwara, Masaki, 92a:58132 and D’Agnolo, Andrea, 92k:58260 

Vicente, José L. Algebraic theory of linear systems of partial differential equations. (see 
92b:00044) 

Zampieri, Giuseppe An application of the second microlocalization at the boundary to the 
extension of solutions of differential systems. 92e:58203 

— see also D’Agnolo, Andrea, 92h:58185 


Items listed otherwise than by author 


Microlocal analysis and its applications * Chokyokusho kaiseki to sono oy. (Japanese) 
[Microlocal analysis and its applications] 92d:58200 
Microlocal analysis of differential equations * Bibun hoteishiki no chokyokusho kaiseki. 
[Microlocal analysis of differential equations] 92h:58186 
Symposium: 
Microlocal Analysis and its Applications * Chokyokusho kaiseki to sono dy6. (Japanese) 
[Microlocal analysis and its applications] 92d:58200 
Microlocal Analysis of Differential Equations * Bibun hdteishiki no chokyokusho kaiseki. 
[Microlocal analysis of differential equations] 92h:58186 


Items with secondary classifications in 58G07 

Arisumi, T. Propagation of Gevrey singularities for a class of microdifferential operators. 
92i:35004 

D’Agnolo, Andrea (with Zampieri, Giuseppe) Levi’s forms of higher codimensional 
submanifolds. (Italian summary) 92h:32032 

— (with D’Ancona, Piero; Zampieri, Giuseppe) Extension of CR functions to “wedge type” 
domains. (Italian summary) 92h:32033 

D’Ancona, Piero see D’Agnolo, Andrea; et al., 92h:32033 

Derridj, Makhlouf Microlocalisation et estimations pour 9,. [Microlocalization and 
estimates for 9,] (see 92f:35007) 

Helffer, B. (with Sjéstrand, Johannes) Semiclassical analysis for Harper’s equation. III. 
Cantor structure of the spectrum. (French summary) 92m:35011 

Honda, Naofumi On the Y modules described by the inverse image of the smooth map. 
92g:32019 

Jaffard, Stéphane Pointwise smoothness, two-microlocalization and wavelet coefficients. 
925:46057 

Kataoka, Kiyémi (with Tose, Nobuyuki) On microhyperbolic mixed problems. 92b:35010 

Maro, Masakazu Invariant hyperfunctions on regular prehomogeneous vector spaces of 
commutative parabolic type. 92d:32043 

Schapira, Pierre (with Schneiders, Jean-Pierre) Finitude et classes caractéristiques pour 
les D-modules et les faisceaux constructibles. [Finiteness and characteristic classes for D- 
modules and constructible sheaves] 92d:32016 

— (with Schneiders, Jean-Pierre) Paires elliptiques. II. Classe d’Euler et indice. (English 
summary) [Elliptic pairs. II. Euler class and index] 924:32017 

Schneiders, Jean-Pierre see Schapira, Pierre, 92d:32016 and 92d:32017 

Sjostrand, Johannes see Helffer, B., 92m:35011 

Tose, Nobuyuki see Kataoka, Kiyomi, 92b:35010 

Uchida, Motoo (with Zampieri, Giuseppe) Second microlocalization at the boundary and 
microhyperbolicity. 92a:32014 

Zampieri, Giuseppe Tuboids of C” with cone property and domains of holomorphy. 
92i:32008 

— see also Uchida, Motoo, 92a:32014; D’Agnolo, Andrea, 92h:32032 and 92h:32033 

Ziemian, Bogdan Generalized Taylor expansions and theory of resurgent functions of Jean 
Ecalle. 92b:46060 


58G10 Index theory and related fixed point theorems 
[see also 19K56, 46L80] 


Anghel, Nicolae Remark on Callias’ index theorem. 92h:58187 

Bismut, Jean-Michel Superconnexions, indice local des familles, déterminant de la 
cohomologie et métriques de Quillen. [Superconnections, local index of families, 
determinant of cohomology and Quillen metrics] 92j:58101 

Cleveland, Michael G. (with Pritchett, Tim) Horizontal supersymmetry and Weyl character 
formulae. 92m:58129 

Dai, Xianzhe Adiabatic limits, nonmultiplicativity of signature, and Leray spectral 
sequence. 92£:58169 

Farsi, Carla K-theoretical index theorems for good orbifolds. 92j:58102 

Fedosov, B. V. Index theorems. (Russian) 92k:58262 

Fox, Jeffrey (with Haskell, Peter; Pardon, William L.) Two themes in index theory on 
singular varieties. 92e:58204 

Getzler, Ezra (with Jones, John D. S.; Petrack, Scott) Differential forms on loop spaces and 
the cyclic bar complex. 92i:58179 

Gilkey, Peter B. The geometrical index theorem for Clifford modules. 92e:58205 

Glazebrook, James F. A note on families of Dirac operators. 92f:58170 

— (with Kamber, Franz W.) On spectral flow of transversal Dirac operators and a theorem 
of Vafa-Witten. 92i:58180 

— (with Kamber, Franz W.) Transversal Dirac families in Riemannian foliations. 
92j:58103 

Gromov, Mikhael L. Kahler hyperbolicity and L2-Hodge theory. 92a:58133 

Haskell, Peter see Fox, Jeffrey; et al., 92e:58204 

Heitsch, James L. (with Lazarov, Connor) Rigidity theorems for foliations by surfaces and 
spin manifolds. 92b:58220 

Hietamaki, A. (with Morozov, A. Yu.; Niemi, Antti J.; Palo, K.) Geometry of N = 4 
supersymmetry and the Atiyah-Singer index theorem. 92¢:58206 





1035 1992 


Higson, Nigel A note on the cobordism invariance of the index. 92f:58171 

Jones, John D.S. see Getzler, Ezra; et al., 92i:58179 

Kamber, Franz W. see Glazebrook, James F., 92i:58180 and 92j:58103 

Khimshiashvili, G. N. Topology of the general Riemann-Hilbert boundary value problem. 
(Russian. English and Georgian summaries) 92a:58134 

— Homotopies of invertible pseudodifferential operators. (Russian summary) 92b:58221 

Lafferty, John D. (with Yu, Yan Lin; Zhang, Wei Ping') A direct geometric proof of the 
Lefschetz fixed point formulas. 92e:58207 

Lazarov, Connor see Heitsch, James L., 92b:58220 

Morozov, A. Yu. see Hietamiaki, A.; et al., 92e:58206 

Niemi, Antti J. see Hietamaki, A.; et al., 92e:58206 

Palo, K. see Hietamiaki, A.; et al., 92e:58206 

Pardon, William L. see Fox, Jeffrey; et al., 92e:58204 

Petrack, Scott see Getzler, Ezra; et al., 92i:58179 

Plamenevskii, B. A. (with Rozenblyum, G. V.) On the index of pseudodifferential operators 
with isolated singularities in the symbols. (Russian) 92h:58188 

Pritchett, Tim see Cleveland, Michael G., 92m:58129 

Romer, H. Field theoretical applications of the index theorem. A pedagogical introduction. 
92m:58130 

Rozenblyum, G. V. see Plamenevskii, B. A., 92h:58188 

Seeley, R. Conic degeneration of the Dirac operator. 92b:58222 

Takhtadzhyan, L. A. (with Zograf, P.G.) A local index theorem for families of 8-operators 
on punctured Riemann surfaces and a new Kahler metric on their moduli spaces. 
92g:58121 

Upmeier, Harald Multivariable Toeplitz operators and index theory. 92m:58131 

Windey, Paul The new loop space index theorems and string theory. (see 92i:81014) 

Yu, Yan Lin see Lafferty, John D.; et al., 92e:58207 

Zhang, Wei Ping! see Lafferty, John D.; et al., 92e:58207 

Zograf, P.G. see Takhtadzhyan, L. A., 92g:58121 


Items with secondary classifications in 58G10 

Alvarez-Gaumé, Luis (with Labastida, J. M. F.; Ramallo, A. V.) A note on perturbative 
Chern-Simons theory. 92b:81110 

Baum, Helga An upper bound for the first eigenvalue of the Dirac operator on compact spin 
manifolds. 92b:58230 

Bott, Raoul H. The topological constraints on analysis. 92b:01039 

Braam, Peter J. Floer homology groups for homology three-spheres. 92g:57027 

El Kacimi-Alaoui, Aziz Opérateurs transversalement elliptiques sur un feuilletage rieman- 
nien et applications. (English summary) [Transversely elliptic operators on a Riemannian 
foliation, and applications] 92k:58259 

Furutani, Kenré see Otsuki, Nobukazu, 92):58037 

(Gamkrelidze, R. V.) see Current problems in mathematics. Newest results, 92m:58002 

Gaveau, Bernard (with Okada, Masami) Differential forms and heat diffusion on one- 
dimensional singular varieties. (French summary) 92a:58135 

Guillemin, Victor (with Lerman, Eugene; Sternberg, Shlomo) On the Kostant multiplicity 
formula. 92£:58058 

Hogreve, H. (with Miller, Werner'; Potthoff, Jiirgen; Schrader, Robert) A Feynman-Kac 
formula for the quantum Heisenberg ferromagnet. I. 92e:82011 

Juhl, A. Quantized geodesic flow and the Selberg trace formula. I. 92g:58129 

Klimek, Stawomir (with Lesniewski, Andrzej) Local rings of singularities and N = 2 
supersymmetric quantum mechanics. 92i:32037 

Labastida, J. M. F. see Alvarez-Gaumé, Luis; et al., 92b:81110 

Lee, Choonkyu (with Min, Hyunsoo; Rim, Chaiho) Zero modes of the self-dual Maxwell 
Chern-Simons solitons. 92e:81147 

Lerman, Eugene see Guillemin, Victor; et al., 92f:58058 

Lesniewski, Andrzej see Klimek, Stawomir, 92i:32037 

Lin, Ting Ting see Yu, Yang Zheng; et al., 92i:81327 

McLeod, Kevin (with Picard, Rainer H.) A compact imbedding result on Lipschitz 
manifolds. 92j:58001 

Min, Hyunsoo see Lee, Choonkyu; et al., 92¢:81147 

Miiller, Werner! see Hogreve, H.; et al., 92e:82011 

Okada, Masami see Gaveau, Bernard, 92a:58135 

Otsuki, Nobukazu (with Furutani, Kenré) Spectral flow and Maslov index arising from 
Lagrangian intersections. 92j:58037 

Papadopoulos, N. A. The role of stratification in anomalies. 92m:58154 

Picard, Rainer H. see McLeod, Kevin, 92j:58001 

Potthoff, Jiirgen see Hogreve, H.; et al., 92e:82011 

Ramallo, A. V. see Alvarez-Gaumé, Luis; et al., 92b:81110 

Rennie, R. Geometry and topology of chiral anomalies in gauge theories. 92f:81199 

Rim, Chaiho see Lee, Choonkyu; et al., 92e:81147 

Rosenberg, Steven Applications of semigroup domination. 92¢:58229 

Rubtsov, V.N. Remarks on Lefschetz formulas for elliptic Spencer complexes. (Russian) 
92£:58168 

Saito, Mutsumi A localization theorem for H-modules. 92g:19007 

Schapira, Pierre (with Schneiders, Jean-Pierre) Finitude et classes caractéristiques pour 
les D-modules et les faisceaux constructibles. [Finiteness and characteristic classes for D- 
modules and constructible sheaves] 92d:32016 

— (with Schneiders, Jean-Pierre) Paires elliptiques. II. Classe d’Euler et indice. (English 
summary) [Elliptic pairs. II. Euler class and index] 92d:32017 

Schneiders, Jean-Pierre see Schapira, Pierre, 92d:32016 and 92d:32017 

Schrader, Robert see Hogreve, H.; et al., 92e:82011 

Sternberg, Shlomo see Guillemin, Victor; et al., 92f:58058 

Szenes, Andras Verification of Verlinde’s formulas for SU(2). 92m:14021 

Takhtadzhyan, L. A. (with Zograf, P.G.) The Selberg zeta function and a new Kahler 
metric on the moduli space of punctured Riemann surfaces. 92a:58149 

Todorov, Andrei Nikolov Spinors and moduli of Einstein metrics on Kahler simply 
connected manifolds with a canonical class K =0. 92¢:32023 

Torre, C.G. On the linearization stability of the conformally (anti-) self-dual Einstein 
equations. 92¢:83004 


58G Partial differential equations on manifolds; differential operators 


58G11 


Upmeier, Harald Toeplitz operators and index theory in several complex variables. 
92£:47021 

Watanabe, Hiroshi? Mathematical construction of chiral anomaly. 92j:81318 

— (with Yoshioka, Akira) Chiral anomaly on a spin manifold. 92¢:81258 

Watanabe, Shinzo Short time asymptotic problems in Wiener functional integration theory. 
Applications to heat kernels and index theorems. 92j:58115 

Yoshida, Tomoyoshi Floer homology and splittings of manifolds. 92m:57041 

Yoshioka, Akira see Watanabe, Hiroshi”, 92e:81258 

Yu, Yang Zheng (with Lin, Ting Ting) Computation of the Witten index of the supersym- 
metric nonlinear o-model. (Chinese. English summary) 92i:81327 

Zograf, P.G. see Takhtadzhyan, L. A., 92a:58149 


Items listed otherwise than by author 

Current problems in mathematics. Newest results * Cosp ie npo6 1 MaTeMaTHKH. 
Hoseftume yocTuxenua. Tom 38. (Russian) [Current problems in mathematics. Newest 
results. Vol. 38] 92m:58002 

Itogi Nauki i Tekhniki * Cospemennbie npo6sembI MaTemMaTuKH. Hopettumme 2ocTHxKeHHA. 
Tom 38. (Russian) [Current problems in mathematics. Newest results. Vol. 38] 
92m:58002 





58G11 Heat and other parabolic equation methods 


Alvarez Lépez, Jestis A. (with Tondeur, Philippe) Hodge decomposition along the leaves of 
a Riemannian foliation. 92f:58172 

van den Berg, M. Heat equation on a hemisphere. 92f:58173 

Bleecker, David D. Diffusive inflationary cosmology. 92i:58181 

Bouche, Thierry Distortion function and the heat kernel of a positive line bundle. 92i:58182 

Chavel, Isaac (with Karp, Leon) Movement of hot spots in Riemannian manifolds. 
92b:58223 

— (with Feldman, Edgar A.) Modified isoperimetric constants, and large time heat diffusion 
in Riemannian manifolds. 92m:58132 

Chen, Jie Cheng (with Wang, Si Lei) Comparison between maximal function and square 
function on positively curved manifolds. 92g:58122 

Drager, Lance D. (with Foote, Robert L.; Martin, Clyde Franklin) Observing the heat 
equation on a torus along a dense geodesic. 92g:58123 ‘ 

Elworthy, K. D. The method of images for the heat kernel of S?. 92g:58124 

Feldman, Edgar A. see Chavel, Isaac, 92m:58132 

Foote, Robert L. see Drager, Lance D.; et al., 92g:58123 

Garofalo, Nicola (with Segala, Fausto) Estimations de la solution fondamentale pour 
lopérateur de la chaleur sur le groupe de Heisenberg et applications au critére de Wiener. 
(English summary) [Estimates of the fundamental solution for the heat operator on the 
Heisenberg group and applications to the Wiener criterion] 92d:58201 

Gaveau, Bernard (with Okada, Masami) Differential forms and heat diffusion on one- 
dimensional singular varieties. (French summary) 92a:58135 

Grigor’yan, A. A. The heat equation on noncompact Riemannian manifolds. (Russian) 
92h:58189 

Gusynin, V. P. (with Kushnir, V. A.) On-diagonal heat kernel expansion in covariant 
derivatives in curved space. 92i:58183 

Hsu, Pei Heat kernel on noncomplete manifolds. 92¢:58143 

Karp, Leon see Chavel, Isaac, 92b:58223 

Kushnir, V. A. see Gusynin, V. P., 92i:58183 

Li, Jia Yu? Gradient estimate for the heat kernel of a complete Riemannian manifold and 
its applications. 92f:58174 

Lin, Fang-Hua Nodal sets of solutions of elliptic and parabolic equations. 92b:58224 

Lohoué, Noél (with Zhu, Fu Liu) The weak estimation of certain maximal functions on the 
symmetric spaces. 92d:58202 

Martin, Clyde Franklin see Drager, Lance D.; et al., 92g:58123 

McAvity, D. M. (with Osborn, Hugh) A DeWitt expansion of the heat kernel for manifolds 
with a boundary. 92e:58208 

— (with Osborn, Hugh) Errata: “A DeWitt expansion of the heat kernel for manifolds with 
a boundary” [Classical Quantum Gravity 8 (1991), no. 4, 603-638; MR 92e:58208]. 

McKeon, D. G. C. Seeley-Gilkey coefficients for superoperators. 92j:58104 

Okada, Masami see Gaveau, Bernard, 92a:58135 

Osborn, Hugh see McAvity, D. M., 92e:58208 

Oshima, Kazuto Completeness relations for Maass Laplacians and heat kernels on the super 
Poincaré upper half-plane. 92e:58209 

Rey, Olivier Heat flow for the equation of surfaces with prescribed mean curvature. 
92k:58263 

Robinson, Derek W. * Elliptic operators and Lie groups. 92m:58133 

Saloff-Coste, Laurent (with Stroock, Daniel W.) Opérateurs uniformément sous-elliptiques 
sur les groupes de Lie. (English summary) [Uniformly subelliptic operators on Lie groups] 
92k:58264 

Segala, Fausto see Garofalo, Nicola, 92d:58201 

Stroock, Daniel W. see Saloff-Coste, Laurent, 92k:58264 

Tondeur, Philippe see Alvarez Lépez, Jestis A., 92f:58172 

Ueki, Naomasa A probabilistic approach to the heat equation for the 2-Neumann problem. 
92k:58265 

Wang, Si Lei see Chen, Jie Cheng; et al., 92g:58122 

Zhu, Fu Liu see Lohoué, Noél; et al., 92d:58202 


Items with secondary classifications in 58G11 


Andrews, Ben Flow of hypersurfaces by curvature functions. 92k:53010 

(Bahri, Anthony P.) see Gilkey, Peter B., 92b:57043 

(Bendersky, Martin) see Gilkey, Peter B., 92b:57043 

Bismut, Jean-Michel Superconnexions, indice local des familles, déterminant de la 
cohomologie et métriques de Quillen. [Superconnections, local index of families, 
determinant of cohomology and Quillen metrics] 92j:58101 

Branson, Thomas P. (with @rsted, Bent) Explicit functional determinants in four 
dimensions. 92b:58238 





58G11 


Camporesi, Roberto Harmonic analysis and propagators on homogeneous spaces. 
92a:58145 

Chen, Yun Mei (with Musina, Roberta) Harmonic mappings into manifolds with 
boundary. 92b:58049 

— Dirichlet problems for heat flows of harmonic maps in higher dimensions. 92k:58063 

Chiang, Yuan-Jen Harmonic maps of V-manifolds. 92c:58021 

Chow, Bennett (with Wu, Lang-Fang) The Ricci flow on compact 2-orbifolds with curvature 
negative somewhere. 92g:53035 

— The Ricci flow on the 2-sphere. 924:53036 

— On the entropy estimate for the Ricci flow on compact 2-orbifolds. 92e:58228 

Chrusciel, Piotr T. Semi-global existence and convergence of solutions of the Robinson- 
Trautman (2-dimensional Calabi) equation. 92a:83007 

Colzani, Leonardo (with Travaglini, Giancarlo) Hardy-Lorentz spaces and expansions in 
eigenfunctions of the Laplace-Beltrami operator on compact manifolds. 92¢:58142 

Davies, E. B. * Heat kernels and spectral theory. 92a:35035 

— (with Mandouvalos, N.) The hyperbolic geometry and spectrum of irregular domains. 
92c:58148 

Di Carlo, Antonio (with Tiero, A.) The geometry of linear heat conduction. 92m:80006 

Dimou, G. E. see Tsagas, Grigorios, 92f:58190 

Donnelly, Harold (with Lee, Jeffrey M.) Heat kernel remainders and inverse spectral theory. 
92b:58233 

Douglas, Ronald G. (with Wojciechowski, Krzysztof P.) Adiabatic limits of the 7- 
invariants. The odd-dimensional Atiyah-Patodi-Singer problem. 92j:58110 

Ecker, Klaus Local techniques for mean curvature flow. 92m:53005 

Elworthy, K. D. (with Rosenberg, Steven) Manifolds with wells of negative curvature. 
92a:53059 

Evans, L.C. (with Spruck, Joel) Motion of level sets by mean curvature. II. 92f:58050 

Gallot, Sylvestre Finiteness theorems with integral conditions on curvature. 92b:53055 

Gilkey, Peter B. * The geometry of spherical space form groups. 92b:57043 

Grotowski, Joseph F. Harmonic map heat flow for axially symmetric data. 92k:58064 

Hauser, C. (with Pohlmeyer, K.) On bosonic string models in semiclassical approximation: 
the derivative of the functional determinant of the transverse fluctuation operator. 
92m:81212 

Hu, Shi Ke see Li, Jiang Nan; et al., 92b:81124 

Jeong, Jang Chun see Pak, Jin Suk; et al., 92i:58200 

Kalnins, E.G. (with Levine, Raphael D.; Miller, Willard, Jr.) Conformal symmetries and 
generalized recurrences for heat and Schrédinger equations in one spatial dimension. 
924:58221 

Kim, Woon-Taek see Pak, Jin Suk; et al., 92i:58200 

Kobotis, A. Relations between the spectrum of one parameter family of operators and the 
conformally flat manifolds. 92i:58198 

— see also Tsagas, Grigorios, 92j:58114 

Krein, S.G. (with Pesenson, I. Z.) * IlpocrpancTsa rma—KHXx 3IeMeHTOB, NOpOCHHbIX 
mpeacTaBenHeM rpynnsi Jin. (Russian) [Spaces of smooth elements generated by the 
representation of a Lie group] 92g:22023 

Lafferty, John D. (with Yu, Yan Lin; Zhang, Wei Ping') A direct geometric proof of the 
Lefschetz fixed point formulas. 92e:58207 

Léandre, Rémi Strange behaviour of the heat kernel on the diagonal. 92j:60071 

Lee, Jeffrey M. see Donnelly, Harold, 92b:58233 

Levine, Raphael D. see Kalnins, E. G.; et al., 92d:58221 

Li, Jiang Nan (with Yan, Jun?; Hu, Shi Ke) Heat kernel regularization in supersymmetry. 
92b:81124 

Lyakhovskii, V.D. (with Shtykov, N. N.; Vasilevich, D. V.) DeWitt-Schwinger expansion 
for projective and Grassmann spaces. 92¢:58213 

Mandouvalos, N. see Davies, E. B., 92c:58148 

Mehta, Mayank R. Path-integral derivation of the superconformal anomaly for the Wess- 
Zumino model. 92e:81257 

Miller, Willard, Jr. see Kalnins, E. G.; et al., 92d:58221 

Min-Oo, Maung (with Ruh, Ernst A.; Tondeur, Philippe) A comparison theorem for almost 
Lie foliations. 92¢:53037 

Musina, Roberta see Chen, Yun Mei; et al., 92b:58049 

@rsted, Bent see Branson, Thomas P., 92b:58238 

Pak, Jin Suk (with Jeong, Jang Chun; Kim, Woon-Taek) The contact conformal curvature 
tensor field and the spectrum of the Laplacian. 92i:58200 

Pesenson, I. Z. see Krein, S. G., 92g:22023 

Pohlmeyer, K. see Hauser, C., 92m:81212 

Robinson, Derek W. Elliptic differential operators on Lie groups. 924:22013 

Rosenberg, Steven see Elworthy, K. D., 92a:53059 

(Ruberman, Daniel) see Elworthy, K. D., 92a:53059 

Ruh, Ernst A. see Min-Oo, Maung; et al., 92e:53037 

Sakaki, Makoto Upper bounds for the index of minimal surfaces. 92c:58018 

Shtykov, N. N. see Lyakhovskii, V. D.; et al., 92e:58213 

Spruck, Joel see Evans, L. C., 92£:58050 

Tiero, A. see Di Carlo, Antonio, 92m:80006 

Tondeur, Philippe see Min-Oo, Maung; et al., 92e:53037 

Travaglini, Giancarlo see Colzani, Leonardo, 92c:58142 

Tsagas, Grigorios (with Dimou, G. E.) The influence of the spectrum of the Dirac operator 
on the geometry of a Riemannian manifold. 92£:58190 

— (with Kobotis, A.) The influence of the spectrum of the Laplace operator on 4-forms on 
the geometry of a Riemannian manifold. 92j:58114 

Tso, Kaising Convex hypersurfaces with prescribed Gauss-Kronecker curvature. 92j:53029 

Uemura, Hideaki Off-diagonal short time expansion of the heat kernel on a certain nilpotent 
Lie group. 92e:58235 

Vasilevich, D. V. see Lyakhovskii, V. D.; et al., 92e:58213 

Watanabe, Shinzo Short time asymptotic problems in Wiener functional integration theory. 
Applications to heat kernels and index theorems. 92j:58115 

Wojciechowski, Krzysztof P. see Douglas, Ronald G., 92j:58110 

Wospakrik, Hans J. A direct heat kernel method for generating the conserved quantities of 
the ZS-AKNS system. 924:58092 

Wa, Lang-Fang The Ricci flow on 2-orbifolds with positive curvature. 92d:53037 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


— see also Chow, Bennett, 92g:53035 

Yan, Jun’ see Li, Jiang Nan; et al., 92b:81124 

Yu, Yan Lin see Lafferty, John D.; et al., 92e:58207 
Zhang, Wei Ping! see Lafferty, John D.; et al., 92e:58207 


58G12 Exotic index theories [see also 19K56, 46L05, 46L10, 
46L80, 46M20] 


Connes, Alain Noncommutative geometry. 92a:58136 

— (with Moscovici, Henri) Cyclic cohomology, the Novikov conjecture and hyperbolic 
groups. 92a:58137 

Douglas, Ronald G. (with Hurder, Steven; Kaminker, Jerome) The longitudinal cocycle and 
the index of Toeplitz operators. 92k:58266 

Fedosov, B. V. Deformation quantization and asymptotic operator representation. 
(Russian) 92k:58267 

Fox, Jeffrey (with Haskell, Peter) Index theory on locally homogeneous spaces. 92j:58105 

Gromov, Mikhael L. (with Shubin, M. A.) von Neumann spectra near zero. 92i:58184 

Haskell, Peter see Fox, Jeffrey, 92j:58105 

Hurder, Steven see Douglas, Ronald G.,; et al., 92k:58266 

Kaminker, Jerome see Douglas, Ronald G.; et al., 92k:58266 

Moriyoshi, Hitoshi Chern character for proper I-manifolds. 92b:58225 

Moscovici, Henri see Connes, Alain, 92a:58137 

Roe, John A note on the relative index theorem. 92g:58125 

Shubin, M. A. see Gromov, Mikhael L., 92i:58184 

Takai, Hiroshi A counterexample of strong Baum-Connes conjectures for foliated 
manifolds. 92i:58185 

Yu, Guo Liang Cyclic cohomology and the index theory of transversely elliptic operators. 
92j:58106 


Items with secondary classifications in 58G12 


Baum, Paul (with Douglas, Ronald G.) Relative K homology and C* algebras. 92m:19008 

Carey, Alan L. (with Phillips, John) Algebras almost commuting with Clifford algebras in a 
II, factor. 92m:46107 

Connes, Alain * Géométrie non commutative. (French) [Noncommutative geometry] 
92e:58016 

— On the Chern character of 6 summable Fredholm modules. 92i:19003 

Curto, Rail E. (with Muhly, Paul S.; Xia, Jingbo) Random Toeplitz operators. 92b:47033 

— (with Muhly, Paul S.; Xia, Jingbo) Toeplitz operators on flows. 92b:47032 

Douglas, Ronald G. see Baum, Paul, 92m:19008 

Ernst, Kaspar (with Feng, Ping; Jaffe, Arthur M.; Lesniewski, Andrzej) Quantum K-theory. 
II. Homotopy invariance of the Chern character. 92¢:46136 

Exel, Ruy (with Loring, Terry A.) Extending cellular cohomology to C*-algebras. 
92¢:46137 

Feng, Ping see Ernst, Kaspar; et al., 92¢:46136 

Fox, Jeffrey (with Haskell, Peter; Pardon, William L.) Two themes in index theory on 
singular varieties. 92¢:58204 

Haran, Shai Index theory, potential theory, and the Riemann hypothesis. 92i:11094 

Haskell, Peter see Fox, Jeffrey; et al., 92e:58204 

Higson, Nigel A primer on K K-theory. 92g:19005 

Jaffe, Arthur M. see Ernst, Kaspar; et al., 92¢:46136 

Kasparov, G. G. (with Skandalis, Georges) Groups acting on buildings, operator K-theory, 
and Novikov’s conjecture. 92h:19009 

Lesniewski, Andrzej see Ernst, Kaspar; et al., 92e:46136 

Loring, Terry A. see Exel, Ruy, 92¢:46137 

Muhly, Paul S. see Curto, Raul E.; et al., 92b:47032 and 92b:47033 

Pardon, William L. see Fox, Jeffrey; et al., 92e:58204 

Phillips, John see Carey, Alan L., 92m:46107 

Pincus, J.D. The principal index. 92f:47037 

Rosenberg, Jonathan The KO-assembly map and positive scalar curvature. 92m:53060 

Skandalis, Georges see Kasparov, G. G., 92h:19009 

Takai, Hiroshi On the Baum-Connes conjecture. 92c:19004 

Valette, Alain Le réle des fibrés de rang fini en théorie de Kasparov équivariante. [The role 
of fiber bundles of finite rank in equivariant Kasparov theory] 92i:19009 

Wassermann, Antony Coactions and Yang-Baxter equations for ergodic actions and 
subfactors. 92d:46167 

Xia, Jingbo see Curto, Raul E.; et al., 92b:47032 and 92b:47033 


58G15 Pseudodifferential and Fourier integral operators on 
manifolds [see also 35Sxx] 


Boimatov, K. Kh. Distribution of eigenvalues of polynomial pencils of pseudodifferential 
operators on a compact manifold without boundary. (Russian) 92i:58186 

Boutet de Monvel, L. Toeplitz operators—an asymptotic quantization of symplectic cones. 
92h:58190 

Filippov, O. G. Reduction of operators with almost periodic symbols to operators over C*- 
algebras on sections of associated bundles over a torus. 92a:58138 

Georgiev, Vladimir S. see Kovachev, V. Khr., 92j:58107 

Gonzalez, Fulton B. Bi-invariant differential operators on the Euclidean motion group and 
applications to generalized Radon transforms. 92¢:58144 

Grubb, Gerd (with Hérmander, Lars) The transmission property. 92f:58175 

Guillemin, Victor (with Uribe, Alejandro) Reduction and the trace formula. 92h:58191 

Hirschmann, Tankred * Pseudo-differential operators and asymptotics on manifolds with 
corners. V. 92h:58192e 

— Functional analysis in cone and edge Sobolev spaces. 92d:58203 

Hérmander, Lars see Grubb, Gerd, 92f:58175 

Kovachev, V. Khr. (with Georgiev, Vladimir S.) A counterpart of the Poincaré group for 
pseudodifferential operators. 92j:58107 

Lerner, Nicolas Opérateurs pseudo-différentiels et capacités symplectiques. [Pseudodiffer- 
ential operators and symplectic capacities] 92d:58204 





1037 1992 


Liu, Zhang Ju (with Qian, Min) Gauge invariant quantization on Riemannian manifolds. 
92g:58126 

Melrose, Richard B. Pseudodifferential operators, corners and singular limits. 92m:58134 

Mourre, E. Remarques sur le caractére algébrique du procédé pseudo-différentiel et de 
certaines de ses extensions. I. (English summary) [Remarks on the algebraic character of 
the pseudodifferential procedure and some of its extensions. I] 92a:58139 

Pan, Yi Biao (with Sogge, Christopher D.) Oscillatory integrals associated to folding 
canonical relations. 92e:58210 

Payne, Kevin R. Smooth tame Fréchet algebras and Lie groups of pseudodifferential 
operators. 92a:58140 

Qian, Min see Liu, Zhang Ju, 92g:58126 

Richter, Frank H. R. On fundamental differential operators and the p-plane Radon 
transform. 92e:58211 

Schulze, Bert-Wolfgang * Pseudo-differential operators and asymptotics on manifolds with 
corners. I. 92h:58192a 

— * Pseudo-differential operators and asymptotics on manifolds with corners. II. 
92h:58192b 

— * Pseudo-differential operators and asymptotics on manifolds with corners. III. 
92h:58192c 

— * Pseudo-differential operators and asymptotics on manifolds with corners. IV. 
92h:58192d 

— * Pseudo-differential operators and asymptotics on manifolds with corners. VI. 
92h:58193 

— Mellin representations of pseudo-differential operators on manifolds with corners. 
92b:58226 

— * Pseudo-differential operators and asymptotics on manifolds with corners. VIII. 
92g:58127 

— * Pseudo-differential operators and asymptotics on manifolds with corners. VII. 
92h:58194 

— * Pseudo-differential operators and asymptotics on manifolds with corners. IX. 
92i:58187 

Sogge, Christopher D. see Pan, Yi Biao, 92e:58210 

Unterberger, André A relativistic pseudodifferential analysis. 92m:58135 

Uribe, Alejandro see Guillemin, Victor, 92h:58191 


Items with secondary classifications in 58G15 


Amosov, B. A. Approximate solution of elliptic pseudodifferential equations on a smooth 
closed curve. (Russian. English and German summaries) 92g:35249 

Daletskii, A. Yu. The Maslov canonical operator on Lagrangian manifolds with a Hilbert 
model. (Russian) 92k:58269 

Ehrenpreis, Leon The Radon transform and tensor products. 92f:53082 

Epstein, Charles (with Melrose, Richard B.; Mendoza, Gerardo A.) Resolvent of the 
Laplacian on strictly pseudoconvex domains. 92i:32016 

Folland, Gerald B. * Harmonic analysis in phase space. 92k:22017 

Goldschmidt, Hubert The Radon transform for symmetric forms on real projective spaces. 
92e:53100 

Helffer, B. (with Sjéstrand, Johannes) On diamagnetism and de Haas-van Alphen effect. 
(French summary) 92a:81237 

Karpushkin, V. N. Structure of uniform estimates in partial phase deformation. 92f:58178 

Khimshiashvili, G. N. Homotopies of invertible pseudodifferential operators. (Russian 
summary) 92b:58221 

Kolokol'tsov, V. N. The Maslov index in infinite-dimensional symplectic geometry. 
(Russian) 92k:58020 

Laptev, A. A. (with Safarov, Yu. G.) Error estimate in the generalized Szegé theorem. 
92j:35141 

Manchon, Dominique Formule de Weyl pour les groupes de Lie nilpotents. [The Weyl 
formula for nilpotent Lie groups] 92j:22023 

Melrose, Richard B. see Epstein, Charles; et al., 92i:32016 

Mendoza, Gerardo A. see Epstein, Charles; et al., 92i:32016 

Plamenevskii, B. A. (with Rozenblyum, G. V.) On the index of pseudodifferential operators 
with isolated singularities in the symbols. (Russian) 92h:58188 

Rozenblyum, G. V. see Plamenevskii, B. A., 92h:58188 

Safarov, Yu. G. see Laptev, A. A., 92j:35141 

Sjostrand, Johannes see Helffer, B., 92a:81237 

Sogge, Christopher D. Propagation of singularities and maximal functions in the plane. 
921:58192 

Taylor, Michael E. * Pseudodifferential operators and nonlinear PDE. 92j:35193 

Zelditch, Steven Mean Lindeléf hypothesis and equidistribution of cusp forms and 
Eisenstein series. 92h:11046 


Items listed otherwise than by author 
Annals of Mathematics Studies see Folland, Gerald B., 92k:22017 


58G16 Hyperbolic equations 


Bachelot, Alain Scattering operator for Maxwell equations outside Schwarzschild black- 
hole. 92:58176 

Choquet-Bruhat, Yvonne (with Noutchegueme, Norbert) Solution des systémes de Yang- 
Mills-Vlasov: théorémes d’existence locale. (English summary) [Solutions of the Yang- 
Mills-Vlasov systems: local existence theorems] 92b:58227 

— (with McLenaghan, Raymond G.) Noyau de diffusion en coordonnées de Bondi de 
lopérateur des ondes sur une variété lorentzienne. (English summary) [An expression for 
the diffusion kernel of wave operators on a 4-dimensional Lorentzian manifold in Bondi 
coordinates] 92b:58228 

— Yang-Mills fields on Lorentzian manifolds. 92¢:58212 

— (with Noutchegueme, Norbert) Systeme de Yang-Mills-Vlasov en jauge temporelle. 
(English summary) [The Yang-Mills-Vlasov system in the temporal gauge] 92i:58188 

— Fluides chargés non abéliens. (English summary) [Fluids with nonabelian charge} 
92i:58189 


58G Partial differential equations on manifolds; differential operators 


58G17 


Gonzalez, Fulton B. Invariant differential operators and the range of the Radon D-plane 
transform. 92a:58141 

Gordienko, V.M. (with Tyshchenko, A. V.) A condition for the coincidence of the rate 
of propagation of perturbations in the wave equation and its symmetrization. (Russian) 
92£:58177 

Gorman, Arthur D. On caustics associated with hyperbolic systems. 92m:58136 

Ibragimov, N. Kh. (with Oganesyan, A. O.) Hierarchy of Huygens equations in spaces with 
a nontrivial conformal group. (Russian) 92m:58137 

McLenaghan, Raymond G. see Choquet-Bruhat, Yvonne, 92b:58228 

Noutchegueme, Norbert see Choquet-Bruhat, Yvonne, 92b:58227 and 92i:58188 

Oganesyan, A. O. see Ibragimov, N. Kh., 92m:58137 

Sniatycki, Jedrzej Regularity of constraints in the Minkowski space Yang-Mills theory. 
92i:58190 

Tyshchenko, A. V. see Gordienko, V. M., 92f:58177 


Items with secondary classifications in 58G16 


Beals, Michael Regularity of nonlinear waves associated with a cusp. 92f:35034 

Carminati, John (with McLenaghan, Raymond G.) On the validity of Huygens’ principle 
for the wave equation on curved space-time. (see 92m:78001) 

Christodoulou, Demetrios (with Klainerman, Sergiu) The global nonlinear stability of the 
Minkowski space. 92¢:83004 

— The formation of black holes and singularities in spherically symmetric gravitational 
collapse. 92d:83044 

Dias, Joao-Paulo (with Figueira, Mario) The simplified Wheeler-DeWitt equation: the 
Cauchy problem and some spectral properties. (French summary) 924:83036 

Duistermaat, J. J. Huygens’ principle for linear partial differential equations. (see 
92m:78001) 

Figueira, Mario see Dias, Joio-Paulo, 92d:83036 

Friedrich, Helmut On the global existence and the asymptotic behavior of solutions to the 
Einstein-Maxwell-Yang-Mills equations. 92i:58191 

Klainerman, Sergiu see Christodoulou, Demetrios, 92c:83004 

Kpekpassi, M. An analogue of Dubinskii’s theorem for differential equations on an infinite- 
dimensional superspace. (Russian) 92k:58036 

Lebeau, Gilles Equations des ondes semi-linéaires. II. Contrdle des singularités et caustiques 
non-linéaires. [Semilinear wave equations. II. Control of nonlinear singularities and 
caustics] 92j:35126a 

— Equations des ondes semi-linéaires. II. Contréle des singularités et caustiques non 
linéaires. (English summary) [Semilinear wave equations. II. Control of nonlinear 
singularities and caustics] 92j:35126b 

Li, Da Qian (with Yu, Xin?) Life-span of classical solutions to fully nonlinear wave 
equations. 92f:35103 

McLenaghan, Raymond G. see Carminati, John, (92m:78001) 

Schirmer, Pedro Paulo On large amplitude solutions of the Yang-Mills equations in 
Minkowski space-time. (see 92d:35009) 

Uchida, Motoo (with Zampieri, Giuseppe) Second microlocalization at the boundary and 
microhyperbolicity. 92a:32014 

Yu, Xin? see Li, Da Qian, 92f:35103 

Zampieri, Giuseppe see Uchida, Motoo, 92a:32014 


58G17 Propagation of singularities; initial value problems 

Arnold, V. I. Contact geometry: the geometrical method of Gibbs’s thermodynamics. 
92d:58205 

Choquet-Bruhat, Yvonne (with Noutchegueme, Norbert) Solutions globales du systéme de 
Yang-Mills-Vlasov (masse nulle). (English summary) [Global solutions of the Yang-Mills- 
Vlasov system with zero rest mass] 92g:58128 

Evtimova, E. N. (with Georgiev, Vladimir S.) Gauge invariant Maxwell-Dirac equations 
and their global solutions. 92a:58142 

Friedrich, Helmut On the global existence and the asymptotic behavior of solutions to the 
Einstein-Maxwell-Yang-Mills equations. 92i:58191 

Georgiev, Vladimir S. see Evtimova, E. N., 92a:58142 

(Gibbs, J. Willard) see Arnol'd, V. 1., 92d:58205 

Khesin, B. A. Singularities of light hypersurfaces and structure of hyperbolicity sets for 
systems of partial differential equations. 92c:58145 

Noutchegueme, Norbert see Choquet-Bruhat, Yvonne, 92g:58128 

Shu, Wei-Tong Asymptotic properties of the solutions of linear and nonlinear spin field 
equations in Minkowski space. 92m:58138 

Sogge, Christopher D. Propagation of singularities and maximal functions in the plane. 
92i:58192 

Trépreau, Jean-Marie Sur la propagation des singularités dans les variétés CR. (English 
summary) [On the propagation of singularities in CR manifolds] 92b:58229 


Items with secondary classifications in 58G17 


Bachelot, Alain Opérateur de diffraction pour le systeme de Maxwell en métrique de 
Schwarzschild. (English summary) [Scattering operator for the Maxwell system in the 
Schwarzschild metric] 92e:83027 

— Opérateur de diffraction pour le systeme de Maxwell en métrique de Schwarzschild. 
(English summary) [Scattering operators for the Maxwell system in the Schwarzschild 
metric] 92e:83028 

Berhanu, S. (with Chanillo, Sagun) Boundedness of the FBI transform on Sobolev spaces 
and propagation of singularities. 92k:35307 

Bolley, Pierre (with Camus, Jacques; Métivier, Guy) Théoréme d’unicité pour des vecteurs 
analytiques. [Uniqueness theorem for analytic vectors] 92d:35010 

Camus, Jacques see Bolley, Pierre; et al., 92d:35010 

Chanillo, Sagun see Berhanu, S., 92k:35307 

Christodoulou, Demetrios (with Klainerman, Sergiu) The global nonlinear stability of the 
Minkowski space. 92¢:83004 

Denisov, V. N. On the stabilization of means of the solution of the Cauchy problem for 
hyperbolic equations in symmetric spaces. (Russian) 92a:35129 





58G17 


Friedman, John L. (with Morris, Michael S.) The Cauchy problem for the scalar wave 
equation is well defined on a class of spacetimes with closed timelike curves. 92a:83046 

Fujiwara, Daisuke (with Takakuwa, Shéichir6) Correction to: “A varifold solution to the 
nonlinear wave equation of motion of a vibrating membrane” [Kodai Math. J. 9 (1986), 
no. 1, 84-116; MR 87f:35139]. 92h:35118 

Gérard, Patrick Microlocal defect measures. 92k:35027 

Klainerman, Sergiu see Christodoulou, Demetrios, 92c:83004 

Métivier, Guy see Bolley, Pierre; et al., 92d:35010 

Morris, Michael S. see Friedman, John L., 92a:83046 

Petrini, M. (with Sordoni, V.) Propagation of singularities for a class of hyperbolic 
operators with triple characteristics. 92f:35013 

Sa Barreto, Anténio On the interactions of conormal waves for semilinear wave equations. 
(see 92¢:35002) 

— Second microlocal ellipticity and propagation of conormality for semilinear wave 
equations. 92h:35144 

Sordoni, V. see Petrini, M., 92£:35013 

Takakuwa, Shéichiré see Fujiwara, Daisuke, 92h:35118 

Vasil’ev, V. A. Lacunae of hyperbolic partial differential operators and singularity theory. 
(Russian) (see 92f:58004) 


58G18 Perturbations; asymptotics 


Alber, Mark S. Hyperbolic geometric asymptotics. 92k:58268 

Daletskii, A. Yu. The Maslov canonical operator on Lagrangian manifolds with a Hilbert 
model. (Russian) 92k:58269 

Guseinov, G. Sh. Asymptotic behavior of eigenfunctions and eigenvalues of the Laplace- 
Beltrami operator on the fundamental domain of a discrete group in n-dimensional 
Lobachevskii space. (Russian) 92a:58143 

Hsu, Pei On the 6-function of a Riemannian manifold with boundary. 92m:58139 

Karasév, M. V. New global asymptotics and anomalies in the problem of quantization of an 
adiabatic invariant. (Russian) 92d:58206 

Karpushkin, V.N. Structure of uniform estimates in partial phase deformation. 92f:58178 

Lyakhovskii, V.D. (with Shtykov, N. N.; Vasilevich, D. V.) DeWitt-Schwinger expansion 
for projective and Grassmann spaces. 92¢:58213 

Shtykov, N. N. see Lyakhovskii, V. D.; et al., 92e:58213 

Vasilevich, D. V. see Lyakhovskii, V. D.; et al., 92e:58213 

Volovoi, A. V. Corrections to: “Verification of the Hamilton flow conditions associated with 
Weyl’s conjecture” [Ann. Global Anal. Geom. 8 (1990), no. 2, 127-136; MR 91m:58157]. 

Vorob’ev, Yu. M. The complex Maslov germ generated by a linear connection. (Russian) 
924:58207 

Zayed, E.M.E. Hearing the shape of a general doubly-connected domain in R? with mixed 
boundary conditions. 92f:58179 


Items with secondary classifications in 58G18 


Avez, André Massivité des espaces de Sobolev et spectre du Laplacien des variétés 
Riemanniennes compactes. [Massiveness of Sobolev spaces and spectrum of the 
Laplacian of compact Riemannian manifolds] 92d:58208 

Berger, Ginter Different eigenvalue asymptotics for Dirichlet and Neumann boundary 
conditions of elliptic operators of second order in some irregular domains. 92g:35161 

Birmingham, Danny (with Kantowski, Ronald; Rakowski, Mark T.) The eta function in 
Chern-Simons field theory. 92b:58231 

Boimatov, K. Kh. Multidimensional spectral asymptotics for elliptic operators in domains 
that satisfy the cone condition. (Russian) 92j:35140 

Camporesi, Roberto Harmonic analysis and propagators on homogeneous spaces. 
92a:58145 

Carow-Watamura, U. (with Schlieker, M.; Watamura, Satoshi) SO,(N) covariant differ- 
ential calculus on quantum space and quantum deformation of Schrédinger equation. 
92e:58015 

Donnelly, Harold (with Fefferman, Charles L.) Growth and geometry of eigenfunctions of 
the Laplacian. 92f:58184 

— (with Lee, Jeffrey M.) Heat kernel remainders and inverse spectral theory. 92b:58233 

Fefferman, Charles L. see Donnelly, Harold, 92f:58184 

Gromov, Mikhael L. (with Shubin, M. A.) von Neumann spectra near zero. 92i:58184 

Hirschmann, Tankred * Pseudo-differential operators and asymptotics on manifolds with 
corners. V. 92h:58192e 

Kantowski, Ronald see Birmingham, Danny; et al., 92b:58231 

Lapidus, Michel L. Can one hear the shape of a fractal drum? Partial resolution of the Weyl- 
Berry conjecture. 92d:58211 

Lee, Jeffrey M. see Donnelly, Harold, 92b:58233 

Levendorskii, S. Z. The asymptotics of the spectrum of operators that are elliptic in the 
sense of Douglis-Nirenberg. (Russian) 92a:35124 

McAvity, D.M. (with Osborn, Hugh) A DeWitt expansion of the heat kernel for manifolds 
with a boundary. 92e:58208 

— (with Osborn, Hugh) Errata: “A DeWitt expansion of the heat kernel for manifolds with 
a boundary” [Classical Quantum Gravity 8 (1991), no. 4, 603-638; MR 92e:58208]. 

Osborn, Hugh see McAvity, D. M., 92e:58208 

Rakowski, Mark T. see Birmingham, Danny; et al., 92b:58231 

Schlieker, M. see Carow-Watamura, U.; et al., 92e:58015 

Schulze, Bert-Wolfgang * Pseudo-differential operators and asymptotics on manifolds with 
corners. I. 92h:58192a 

— * Pseudo-differential operators and asymptotics on manifolds with corners. II. 
92h:58192b 

— * Pseudo-differential operators and asymptotics on manifolds with corners. III. 
92h:58192c 

— * Pseudo-differential operators and asymptotics on manifolds with corners. IV. 
92h:58192d 

Shubin, M. A. see Gromov, Mikhael L., 92i:58184 

Trofimov, V. V. The holonomy group and generalized Maslov classes of submanifolds in 
spaces with affine connection. (Russian) 92j:57016 

Watamura, Satoshi see Carow-Watamura, U.; et al., 92e:58015 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


58G20 Boundary value problems on manifolds 


Borbély, Albert A note on the Dirichlet problem at infinity for manifolds of negative 
curvature. 92f:58180 

Cianchi, Andrea Elliptic equations on manifolds and isoperimetric inequalities. 92i:58193 

Molzon, Robert Symmetry and overdetermined boundary value problems. 92£:58181 

Yoshino, Masafumi Representation formula for cluster sets of eigenvalues. 92i:58194 

Zvyagin, V.G. The properness of elliptic and parabolic differential operators [in Global 
analysis and nonlinear equations (Russian), 58-75, Voronezh. Gos. Univ., Voronezh, 
1988; MR 90k:58224]. (see 92b:58001) 


Items with secondary classifications in 58G20 


van den Berg, M. Heat equation on a hemisphere. 92f:58173 

Camera, G. A. Some inequalities for the first eigenvalue of the Laplace-Beltrami operator. 
92¢:58147 

Douglas, Ronald G. (with Wojciechowski, Krzysztof P.) Adiabatic limits of the n- 
invariants. The odd-dimensional Atiyah-Patodi-Singer problem. 92j:58110 

Graham, C. Robin (with Lee, John M.) Einstein metrics with prescribed conformal infinity 
on the ball. 92i:53041 

Hsu, Pei On the @-function of a Riemannian manifold with boundary. 92m:58139 

Katrakhov, V. V. see Kipriyanov, I. A., 92j:35040 

Khimshiashvili, G. N. Topology of the general Riemann-Hilbert boundary value probl 
(Russian. English and Georgian summaries) 92a:58134 

Kipriyanov, I. A. (with Katrakhov, V. V.) A boundary value problem for second-order 
elliptic equations in domains on a sphere. (Russian) 92j:35040 

Kozhevnikov, A. N. Diagonalization of systems, elliptic in the sense of Douglis-Nirenberg, 
ona ifold with boundary. (Russian) 92m:58127 

Lee, John M. see Graham, C. Robin, 92i:53041 

Marini, Antonella Boundary value problems for Yang-Mills connections. (French summary) 
92c:58020 

Ouyang, Tiancheng On the positive solutions of semilinear equations Au + Au — hu? =O on 
the compact manifolds. 92h:35012 

Salamon, Dietmar Morse theory, the Conley index and Floer homology. 92a:58028 

Schechter, Martin Nonlinear elliptic boundary value problems at resonance. 92b:35063 

Schulze, Bert-Wolfgang * Pseudo-differential operators and asymptotics on manifolds with 
corners. IX. 92i:58187 

Seeley, R. Conic degeneration of the Dirac operator. 92b:58222 

Wojciechowski, Krzysztof P. see Douglas, Ronald G., 92j:58110 











58G25 Spectral problems; spectral geometry; scattering theory 
[see also 35Pxx] 


Adachi, Toshiaki Spherical mean and the fundamental group. 92£:58182 

Anderson, Michael T. Remarks on the compactness of isospectral sets in low dimensions. 
92m:58140 

Avez, André Massivité des espaces de Sobolev et spectre du Laplacien des variétés 
Riemanniennes compactes. [Massiveness of Sobolev spaces and spectrum of the 
Laplacian of compact Riemannian manifolds] 92d:58208 

Baum, Helga An upper bound for the first eigenvalue of the Dirac operator on compact spin 
manifolds. 92b:58230 

Bérard, Pierre A lower bound for the least eigenvalue of A+ V. 92e:58214 

— A note on Bochner type theorems for complete manifolds. 92i:58195 

Besson, Gérard (with Bordoni, Manlio) On the spectrum of Riemannian submersions with 
totally geodesic fibers. (Italian summary) 92a:58144 

Birmingham, Danny (with Kantowski, Ronald; Rakowski, Mark T.) The eta function in 
Chern-Simons field theory. 92b:58231 

Boimatov, K. Kh. Spectral asymptotics of linear and nonlinear pencils of pseudodifferential 
operators that are elliptic in the Douglis-Nirenberg sense. (Russian) 92m:58141 

Bordoni, Manlio Estimate of the spectrum of a Riemannian covering via the spectrum of the 
base. (Italian. English summary) 92m:58142 

— see also Besson, Gérard, 92a:58144 

Brooks, Robert Wolfe Isospectral problems in conformal geometry. 92e:58215 

— (with Eliashberg, Yakov; McMullen, Curt) The spectral geometry of flat disks. 92i:58196 

Bunke, Ulrich Upper bounds of small eigenvalues of the Dirac operator and isometric 
immersions. 92h:58195 

— The spectrum of the Dirac operator on the hyperbolic space. 92h:58196 

Buser, Peter (with Courtois, Gilles) Finite parts of the spectrum of a Riemann surface. 
92¢:58146 

Cai, Kai Ren Estimate on lower bound of the first eigenvalue of a compact Riemannian 
manifold. 92j:58108 

Camera, G. A. Some inequalities for the first eigenvalue of the Laplace-Beltrami operator. 
92c:58147 

Camporesi, Roberto Harmonic analysis and propagators on homogeneous spaces. 
92a:58145 

Chanillo, Sagun (with Muckenhoupt, B.) Nodal geometry on Riemannian manifolds. 
92:58183 

Cheng, Qing Ming (with Xu, Hong Li) Eigenvalues and eigenfunctions in quasi-Einsteinian 
manifolds. (Chinese. English summary) 92h:58197 

Colzani, Leonardo Riesz means of eigenfunction expansions of elliptic differential operators 
on compact manifolds. (Italian summary) 92b:58232 

Courtois, Gilles see Buser, Peter, 92c:58146 

Davies, E. B. (with Mandouvalos, N.) The hyperbolic geometry and spectrum of irregular 
domains. 92¢:58148 

DeTurck, Dennis M. Audible and inaudible geometric properties. 92i:58197 

Dimou, G. E. see Tsagas, Grigorios, 92f:58190 

Donnelly, Harold (with Fefferman, Charles L.) Growth and geometry of eigenfunctions of 
the Laplacian. 92f:58184 

— (with Fefferman, Charles L.) Nodal sets of eigenfunctions: Riemannian manifolds with 
boundary. 92¢:58216 





1039 1992 


— (with Fefferman, Charles L.) Nodal sets for eigenfunctions of the Laplacian on surfaces. 
92d:58209 

— (with Lee, Jeffrey M.) Heat kernel remainders and inverse spectral theory. 92b:58233 

— (with Lee, Jeffrey M.) Domains in Riemannian manifolds and inverse spectral geometry. 
92j:58109 

Douglas, Ronald G. (with Wojciechowski, Krzysztof P.) Adiabatic limits of the n- 
invariants. The odd-dimensional Atiyah-Patodi-Singer problem. 92j:58110 

Efrat, Isaac Erratum: “Determinants of Laplacians on surfaces of finite volume” [Comm. 
Math. Phys. 119 (1988), no. 3, 443-451; MR 90c:58184]. 92¢:58149 

Efremov, A. V. Cell decompositions and the Novikov-Shubin invariants. (Russian) 
92m:58143 

Eliashberg, Yakov see Brooks, Robert Wolfe; et al., 92i:58196 

Fefferman, Charles L. see Donnelly, Harold, 92d:58209; 92e:58216 and 92£:58184 

Fegan, Howard D. (with Steer, B.; Whiteway, L.) Spectral symmetry of the Dirac operator 
for compact and noncompact symmetric pairs. 92e:58217 

Froese, R. (with Hislop, Peter D.; Perry, Peter A.) A Mourre estimate and related bounds 
for hyperbolic manifolds with cusps of nonmaximal rank. 92h:58198 

Giménez, Fernando (with Miquel, Vicente) Bounds for the first Dirichlet eigenvalue of 
domains in Kaehler manifolds. 92b:58234 

Gordon, Carolyn S. (with Kappeler, Thomas) On isospectral potentials on tori. 92f:58185 

— (with Webb, David L.; Wolpert, Scott A.) One cannot hear the shape of a drum. 
92j:58111 

Grunewald, Ralf Six-dimensional Riemannian manifolds with a real Killing spinor. 
92a:58146 

Gurarie, David 2-sphere Schrédinger operators with odd potentials. 92¢:58218 

Hebda, James J. Two geometric inequalities for the torus. 92d:58210 

Hislop, Peter D. see Froese, R.; et al., 92h:58198 

Ikawa, Mitsuru On scattering matrices and zeta functions for several convex bodies. 
92j:58112 

Jeong, Jang Chun see Pak, Jin Suk; et al., 92i:58200 

Juhl, A. Quantized geodesic flow and the Selberg trace formula. I. 92g:58129 

Kantowski, Ronald see Birmingham, Danny; et al., 92b:58231 

Kappeler, Thomas see Gordon, Carolyn S., 92f:58185 

Kim, Hong-Jong Eigenvalues of the Laplace operator on a Hermitian vector bundle. 
92e:58219 

Kim, Woon-Taek see Pak, Jin Suk; et al., 92i:58200 

Kirchberg, K.-D. The first eigenvalue of the Dirac operator on Kahler manifolds. 92h:58199 

Kobotis, A. Relations between the spectrum of one parameter family of operators and the 
conformally flat manifolds. 92i:58198 

— see also Tsagas, Grigorios, 92j:58114 

Lapidus, Michel L. Can one hear the shape of a fractal drum? Partial resolution of the Weyl- 
Berry conjecture. 924:58211 

Lee, Jeffrey M. The gaps in the spectrum of the Laplace-Beltrami operator. 92f:58186 

— see also Donnelly, Harold, 92b:58233 and 92j:58109 

Leung, Pui Fai On the consecutive eigenvalues of the Laplacian of a compact minimal 
submanifold in a sphere. 92d:58212 

Lichnerowicz, André La premiére valeur propre de l’opérateur de Dirac pour une variété 
kahlérienne et son cas limite. (English summary) [The first eigenvalue of the Dirac 
operator for a Kahler manifold and the limiting case] 92a:58147 

— Spineurs harmoniques et spineurs-twisteurs en géométrie kahlerienne et conformément 
kahlerienne. (English summary) {Harmonic spinors and twistor-spinors in Kahler and 
conformally Kahler geometry] 92b:58235 

Lin, Fang-Hua An eigenvalue problem on negatively curved manifolds. 92m:58144 

La, Zhi Qin A note on the first eigenvalue. (Chinese. English summary) 92k:58270 

Mandouvalos, N. Scattering operator and Eisenstein integral for Kleinian groups. 
92e:58220 

— see also Davies, E. B., 92c:58148 

Mazzeo, Rafe Unique continuation at infinity and embedded eigenvalues for asymptotically 
hyperbolic manifolds. 92f:58187 

McMullen, Curt see Brooks, Robert Wolfe; et al., 92i:58196 

Miquel, Vicente see Giménez, Fernando, 92b:58234 

Moscovici, Henri (with Stanton, Robert J.) R-torsion and zeta functions for locally 
symmetric manifolds. 92i:58199 

Muckenhoupt, B. see Chanillo, Sagun, 92f:58183 

Nadirashvili, N.S. Metric properties of eigenfunctions of the Laplace operator on 
manifolds. (French summary) 92g:58130 

Pak, Jin Suk (with Jeong, Jang Chun; Kim, Woon-Taek) The contact conformal curvature 
tensor field and the spectrum of the Laplacian. 92i:58200 

Perry, Peter A. The Selberg zeta function and scattering poles for Kleinian groups. 
924:58213 

— see also Froese, R.; et al., 92h:58198 

Puta, Mircea (with Térék, Andrei) The spectrum of the p-Laplacian on Kahler manifold. 
(Italian summary) 92g:58131 

Rakowski, Mark T. see Birmingham, Danny; et al., 92b:58231 

Rassias, Themistocles M. The isoperimetric inequality and eigenvalues of the Laplacian. 
92h:58200 

Schmutz, Paul Small eigenvalues on Riemann surfaces of genus 2. 92j:58113 

Sheng, Yi Bing Eigenvalue inequalities for minimal and Kahler submanifolds. (Chinese) 
92m:58145 

Simon, Barry The Neumann Laplacian of a jelly roll. 92f:58188 

Stanton, Robert J. see Moscovici, Henri, 92i:58199 

Steer, B. see Fegan, Howard D.; et al., 92e:58217 

Sthanumoorthy, N. Eta function and spectral asymmetry for S“~!. 92e:58221 

Stoyanov, Luchezar N. Generic properties of periodic reflecting rays and the Poisson 
relation. 92f:58189 

— Nonexistence of generalized scattering rays and singularities of the scattering kernel for 
generic domains in R>. 92b:58236 

Sunada, Toshikazu A periodic Schrédinger operator on an abelian cover. 92¢e:58222 

Takano, Kazuhiko The proper value of A for 1-form and function in certain compact 
Kaehlerian manifolds. 92e:58223 


58G Partial differential equations on manifolds; differential operators 


58G25 


Térdk, Andrei see Puta, Mircea, 92g:58131 

Tsagas, Grigories (with Tsouros, Konstantinos) The spectrum of the Laplace operator on 
q-forms of a Riemannian manifold. (Polish summary) 92c:58150 

— (with Dimou, G. E.) The influence of the spectrum of the Dirac operator on the geometry 
of a Riemannian manifold. 92f:58190 

— (with Kobotis, A.) The influence of the spectrum of the Laplace operator on 4-forms on 
the geometry of a Riemannian manifold. 92j:58114 

Tsouros, Konstantinos see Tsagas, Grigorios, 92c:58150 

Webb, David L. see Gordon, Carolyn S.; et al., 92j:58111 

Whiteway, L. see Fegan, Howard D.; et al., 92e:58217 

Wojciechowski, Krzysztof P. see Douglas, Ronald G., 92j:58110 

Wolpert, Scott A. The spectrum of a Riemann surface with a cusp. 92f:58191 

— see also Gordon, Carolyn S.; et al., 92j:58111 

Wu, Hong You Symmetric properties of eigenfunctions of the Laplace operator on compact 
Riemannian manifolds. 92a:58148 

Xu, Hong Li see Cheng, Qing Ming; et al., 92h:58197 

Xu, Sen Lin (with Zhou, Jian) Eigenvalues of the Laplace operator on nonorientable 
manifolds. (Chinese. English summary) 92f:58192 

Zhou, Jian see Xu, Sen Lin; et al., 92f:58192 

Zworski, Maciej Shift of the shadow boundary in high frequency scattering. 92e:58224 


Items with secondary classifications in 58G25 

Agranovich, M.S. Spectral properties of elliptic operators of negative order. (see 
92b:35006) 

Anker, Jean-Philippe A basic inequality for scattering theory on Riemannian symmetric 
spaces of the noncompact type. 92k:43008 

Bachelot, Alain Opérateur de diffraction pour le systtme de Maxwell en métrique de 
Schwarzschild. (English summary) [Scattering operator for the Maxwell system in the 
Schwarzschild metric] 92¢:83027 

— Opérateur de diffraction pour le systeme de Maxwell en métrique de Schwarzschild. 
(English summary) [Scattering operators for the Maxwell system in the Schwarzschild 
metric] 92e:83028 

Barros, Manuel Several problems related with the spectral geometry of submanifolds in the 
sphere. 92i:53054 

Binding, P. A. (with Browne, Patrick J.; Huang, Yin Xi; Picard, Rainer H.) On eigencurves 
of elliptic boundary value problems. 92j:35138 

Bismut, Jean-Michel Eta invariants and complex immersions. (French summary) 
92c:58151 

Blekher, P.M. Quasiclassical expansions and the problem of quantum chaos. 92g:81046 

Boimatov, K. Kh. (with Kostyuchenko, A. G.) Spectral asymptotics of polynomial pencils of 
differential operators on a compact manifold without boundary. (Russian) 92a:47057 

Braam, Peter J. Floer homology groups for homology three-spheres. 92g:57027 

Browne, Patrick J. see Binding, P. A.; et al., 92j:35138 

Cartier, Pierre (with Voros, André) Une nouvelle interprétation de la formule des traces de 
Selberg. [A new interpretation of the Selberg trace formula] 92m:11049 

Colbois, B. (with Courtois, Gilles) Convergence de variétés et convergence du spectre du 
Laplacien. [Convergence of manifolds and convergence of the spectrum of the Laplacian] 
92h:53053 

Colzani, Leonardo (with Travaglini, Giancarlo) Hardy-Lorentz spaces and expansions in 
eigenfunctions of the Laplace-Beltrami operator on compact manifolds. 92¢c:58142 

— (with Travaglini, Giancarlo) Estimates for Riesz kernels of eigenfunction expansions of 
elliptic differential operators on compact manifolds. 92i:58176 

Courtois, Gilles see Colbois, B., 92h:53053 

Dai, Xianzhe Adiabatic limits, nonmultiplicativity of signature, and Leray spectral 
sequence. 92:58169 

Dubrovskii, V. V. Abstract formulas for regularized traces of elliptic smooth differential 
operators defined on compact manifolds. (Russian) 92m:47092 

— see also Sadovnichii, V. A.', 92h:35161 

Ejiri, Norio Two applications of the unit normal bundle of a minimal surface in R”. 
92a:53081 

El Houakmi, Z. (with Helffer, B.) Comportement semi-classique en présence de symétries: 
action d’un groupe de Lie compact. (English summary) [Semiclassical behavior in the 
presence of symmetries: action of a compact Lie group] 92m:47103 

Elworthy, K. D. (with Rosenberg, Steven) Manifolds with wells of negative curvature. 
92a:53059 

Filippov, O. G. Reduction of operators with almost periodic symbols to operators over C*- 
algebras on sections of associated bundles over a torus. 92a:58138 

Fischer, Thomas Georg Bert (with Kreck, Matthias) Rohlin invariants, integrality of some 
spectral invariants and bordism of spin diffeomorphisms. 92h:57047 

Francoise, J.-P. (with Guillemin, Victor) On the period spectrum of a symplectic mapping. 
92j:58083 

Friedlander, F.G. Notes on closed billiard ball trajectories in polygonal domains. II. 
92m:35155 

Gallot, Sylvestre Finiteness theorems with integral conditions on curvature. 92b:53055 

Gardner, Robert Alan (with Jones, Christopher K. R. T.) Stability of travelling wave 
solutions of diffusive predator-prey systems. 92a:92004 

Glazebrook, James F. (with Kamber, Franz W.) On spectral flow of transversal Dirac 
operators and a theorem of Vafa-Witten. 92i:58180 

Gromov, Mikhael L. (with Shubin, M. A.) von Neumann spectra near zero. 92i:58184 

Guillemin, Victor (with Uribe, Alejandro) Reduction and the trace formula. 92h:58191 

— see also Francoise, J.-P., 92j:58083 

Guseinov, G. Sh. Asymptotic behavior of eigenfunctions and eigenvalues of the Laplace- 
Beltrami operator on the fundamental domain of a discrete group in n-dimensional 
Lobachevskii space. (Russian) 92a:58143 

Hejhal, Dennis A. Regular b-groups, degenerating Riemann surfaces, and spectral theory. 
92h:11043 

Helffer, B. see El Houakmi, Z., 92m:47103 

Huang, Yin Xi see Binding, P. A.; et al., 92j:35138 

Huntley, Jonathan Spectral multiplicity for Gi,(R). 92j:11049 

Jones, Christopher K. R. T. see Gardner, Robert Alan, 92a:92004 





58G25 


Jun, Jae-Bok On special projective Killing p-forms in Riemannian manifolds. 92f:53039 

Kamber, Franz W. see Glazebrook, James F., 92i:58180 

Kostyuchenko, A. G. see Boimatov, K. Kh., 92a:47057 

Kreck, Matthias see Fischer, Thomas Georg Bert, 92h:57047 

Lapidus, Michel L. (with Maier, Helmut) Hypothése de Riemann, cordes fractales 
vibrantes et conjecture de Weyl-Berry modifiée. (English summary) [The Riemann 
hypothesis, vibrating fractal strings and the modified Weyl-Berry conjecture] 92f:11118 

Li, Peter (with Treibergs, Andrejs; Yau, Shing-Tung) How to hear the volume of convex 
domains. 92m:35272 

Lohoué, Noél Estimations de certaines fonctions maximales et des transformées de Riesz 
multiples sur les variétés de Cartan-Hadamard et les groupes unimodulaires. (English 
summary) [Estimates of multiple Riesz transforms and some maximal functions on 
Cartan-Hadamard manifolds and unimodular groups] 92f:58200 

Maier, Helmut see Lapidus, Michel L., 92f:11118 

Marinescu, Gheorghe Asymptotic Morse inequalities. (Romanian. English summary) 
92k:32055 

Park, Joon Sik (with Urakawa, Hajime) Classification of harmonic mappings of constant 
energy density into spheres. 92b:58052 

Perry, Peter A. The Selberg zeta function and a local trace formula for Kleinian groups. 
92e:11057 

Phillips, Ralph S. (with Sarnak, Peter) Perturbation theory for the Laplacian on automor- 
phic functions. 92g:11056 

Picard, Rainer H. see Binding, P. A.; et al., 92j:35138 

Rosenberg, Steven Applications of semigroup domination. 92e:58229 

— see also Elworthy, K. D., 92a:53059 

(Ruberman, Daniel) see Elworthy, K. D., 92a:53059 

Sadovnichii, V. A.! (with Dubrovskii, V. V.) A formula for the first regularized trace of the 
Laplace-Beltrami operator with potential. (Russian) 92h:35161 

Sarnak, Peter see Phillips, Ralph S., 92g:11056 

Schuster, Reinhard On a lattice problem for geodesic double differential forms in the n- 
dimensional hyperbolic space. (German and Russian summaries) 92g:11100 

Shubin, M. A. see Gromov, Mikhael L., 92i:58184 

Sinai, Ya.G. Mathematical problems in the theory of quantum chaos. 92i:81067a 

— Mathematical problems in the theory of quantum chaos. 92i:81067b 

Sjostrand, Johannes (with Zworski, Maciej) Complex scaling and the distribution of 
scattering poles. 92g:35166 

Stefanov, Plamen D. Inverse scattering problem for moving obstacles. 92h:35174 

Travaglini, Giancarlo see Colzani, Leonardo, 92c:58142 and 92i:58176 

Treibergs, Andrejs see Li, Peter; et al., 92m:35272 

Urakawa, Hajime see Park, Joon Sik, 92b:58052 

Uribe, Alejandro see Guillemin, Victor, 92h:58191 

Voros, André Analyse semi-classique de la formule des traces de Selberg (début). [Semiclas- 
sical analysis of the Selberg trace formula (first part)] 92a:58150 

— see also Cartier, Pierre, 92m:11049 

Wong, M. W. The spectra of the Laplacian. 92f:47050 

Yau, Shing-Tung see Li, Peter; et al., 92m:35272 

Yoshino, Masafumi Representation formula for cluster sets of eigenvalues. 92i:58194 

Zayed, E.M.E. Hearing the shape of a general doubly-connected domain in R> with mixed 
boundary conditions. 92f:58179 

Zelditch, Steven Quantum transition amplitudes for ergodic and for completely integrable 
systems. 92b:58181 

— Mean Lindeléf hypothesis and equidistribution of cusp forms and Eisenstein series. 
92h:11046 

Zhang, Yuan Zheng Eigenvalues of compact minimal submanifolds in a complex projective 
space. (Chinese. English summary) 92g:53061 

Zworski, Maciej High frequency scattering by a convex obstacle. 92¢:35070 

— see also Sjéstrand, Johannes, 92g:35166 


58G26 Determinants and determinant bundles 


Bismut, Jean-Michel (with Vasserot, E.) The asymptotics of the Ray-Singer analytic torsion 
of the symmetric powers of a positive vector bundle. (French summary) 92b:58237 

— Eta invariants and complex immersions. (French summary) 92¢:58151 

Branson, Thomas P. (with Orsted, Bent) Explicit functional determinants in four 
dimensions. 92b:58238 

Burghelea, D. (with Friedlander, Leonid; Kappeler, Thomas) On the determinant of elliptic 
differential and finite difference operators in vector bundles over S'. 92f:58193 

Freed, Daniel S. Anomalies and determinant line bundles. (see 92f:81008) 

Friedlander, Leonid see Burghelea, D.; et al., 92f:58193 

Glazebrook, James F. (with Kamber, Franz W.) Determinant line bundles for Hermitian 
foliations and a generalized Quillen metric. 92i:58201 

Grosche, Christian Selberg supertrace formula for super Riemann surfaces, analytic 
properties of Selberg super zeta-functions and multiloop contributions for the fermionic 
string. 92e:58225 

Ikeda, Akira Zeta functions for differential forms on complex projective spaces and their 
asymptotic expansions. 92b:58239 

Jorgenson, Jay Analytic torsion for line bundles on Riemann surfaces. 92g:58132 

Kamber, Franz W. see Glazebrook, James F., 92i:58201 

Kappeler, Thomas see Burghelea, D.; et al., 92f:58193 

@rsted, Bent see Branson, Thomas P., 92b:58238 

Palmer, John Tau functions. 92i:58202 

Radul, A. O. see Vaisburd, I. D., 92e:58226 

Strang, Gilbert Inverse problems and derivatives of determinants. 92i:58203 

Takhtadzhyan, L. A. (with Zograf, P.G.) The Selberg zeta function and a new Kahler 
metric on the moduli space of punctured Riemann surfaces. 92a:58149 

Vaisburd, I. D. (with Radul, A.O.) Nonorientable strings. 92e:58226 

Vasserot, E. see Bismut, Jean-Michel, 92b:58237 

Voros, André Analyse semi-classique de la formule des traces de Selberg (début). [Semiclas- 
sical analysis of the Selberg trace formula (first part)] 92a:58150 

Wentworth, Richard Asymptotics of determinants from functional integration. 92k:58271 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


1992 1040 


Wu, Siye Topological quantum field theories on manifolds with a boundary. 924:58214 
Zograf, P.G. see Takhtadzhyan, L. A., 92a:58149 


Items with secondary classifications in 58G26 

Alvarez-Gaumé, Luis Anomalies, strings and algebraic geometry. (see 92i:81013) 

Baulieu, Laurent (with Picco, Marco) SL(n,R) topological field theories. 92f:58030 

Arnaud Fibrés de rang deux sur une courbe, fibré déterminant et fonctions théta. 

II. (English summary) [Rank-two vector bundles over a curve, determinant bundle and 
theta functions. II] 92m:14041 

Birmingham, Danny (with Blau, Matthias; Thompson, George) Geometry and quantization 
of topological gauge theories. 92¢e:81266 

— (with Cho, Hing Tong; Kantowski, Ronald; Rakowski, Mark T.) The Vilkovisky-DeWitt 
effective action in BF -type topological field theories. 92j:81167 

Bismut, Jean-Michel Superconnexions, indice local des familles, déterminant de la 
cohomologie et métriques de Quillen. [Superconnections, local index of families, 
determinant of cohomology and Quillen metrics] 92j:58101 

Blau, Matthias (with Thompson, George) Topological gauge theories of antisymmetric 
tensor fields. 92h:81095 

— see also Birmingham, Danny; et al., 92e:81266 

Bytsenko, A. A. (with Odintsov, S.D.) Free energy of supermembranes compactified on a 
torus. (Russian) 92¢:81125 

Cartier, Pierre (with Voros, André) Une nouvelle interprétation de la formule des traces de 
Selberg. [A new interpretation of the Selberg trace formula] 92m:11049 

Cho, Hing Tong see Birmingham, Danny; et al., 92j:81167 

D’Eath, Peter D. (with Esposito, Giampiero V. M.) Local boundary conditions for the 
Dirac operator and one-loop quantum cosmology. 92m:81191 

Deitmar, Anton The Selberg trace formula and the Ruelle zeta function for compact 
hyperbolics. 92b:11034 

Dias, Sebastiao A. (with Thomaz, M.T.) ¢-function regularization of chiral Jacobians for 
singular Dirac operators: finite chiral rotations. 92i:81196 

Elkik, R. Métriques sur les fibrés d’intersection. [Metrics on intersection bundles] 
92b:14012 

Esposito, Giampiero V. M. see D’Eath, Peter D., 92m:81191 

Falomir, H. (with Muschietti, Maria Amelia; Santangelo, E.M.) Fermionic determinants 
for chiral-bag-like two-dimensional systems. 92a:81121 

Farina de Souza, Carlos (with Gamboa, Jorge) The ¢-function regularization prescription 
and the propagator for a harmonically bound charged particle in a magnetic field. 
92g:81103 

Fujiki, Akira (with Schumacher, Georg) The moduli space of extremal compact Kahler 
manifolds and generalized Weil-Petersson metrics. 92e:32012 

Gamboa, Jorge see Farina de Souza, Carlos, 92g:81103 

Gillet, Henri (with Soulé, Christophe) Analytic torsion and the arithmetic Todd genus. 
92d:14015 

Glazebrook, James F. (with Kamber, Franz W.) Transversal Dirac families in Riemannian 
foliations. 92j:58103 

Grinevich, P.G. (with Orlov, A. Yu.) Virasoro action on Riemann surfaces, Grassmanni- 
ans, det 9, and Segal-Wilson t-function. 92f:32035 

Groisser, David (with Parker, Thomas H.) Semiclassical Yang-Mills theory. I. Instantons. 
92e:58034 

Hauser, C. (with Pohlmeyer, K.) On bosonic string models in semiclassical approximation: 
the derivative of the functional determinant of the transverse fluctuation operator. 
92m:81212 

Ikawa, Mitsuru On scattering matrices and zeta functions for several convex bodies. 
92j:58112 

Kafiev, Yu. N. * Anomasuu u Teopus cTpyuH. (Russian) [Anomalies and string theory] 
92m:81213 

Kamber, Franz W. see Glazebrook, James F., 92j:58103 

Kantowski, Ronald see Birmingham, Danny; et al., 92j:81167 

Kirsten, Klaus Casimir effect at finite temperature. 92c:81108 

Knecht, M. (with Lazzarini, S.; Stora, R.) On holomorphic factorization for free conformal 
fields. 92m:81252 

Lazzarini, S. see Knecht, M.; et al., 92m:81252 

Likhttsier, I. M. (with Odintsov, S.D.) Two-dimensional quantum gravity with generalized 
action and compact boson. 924:81126 

Majid, Shahn Mass dependence of U(1) axial-sy ry breakd . 92d:81135 

Mateos Guilarte, Juan The supersymmetric sigma model, topological quantum mechanics 
and knot invariants. 92h:58034 

McKeon, D. G. C. Seeley-Gilkey coefficients for superoperators. 92j:58104 

Morozov, A. Yu. (with Roslyi, A. A.) Strings and open Riemann surfaces. 92a:81155 

— see also Roslyi, A. A., 92a:81154 

Miller, Stefan Det = det. A remark on the distributional determinant. (French summary) 
92¢:35042 

Muschietti, Maria Amelia see Falomir, H.; et al., 92a:81121 

Odintsov, S. D. see Bytsenko, A. A., 92¢c:81125 and Likhttsier, I. M., 92d:81126 

Orlov, A. Yu. see Grinevich, P. G., 92f:32035 

Oshima, Kazuto Completeness relations for Maass Laplacians and heat kernels on the super 
Poincaré upper half-plane. 92¢e:58209 

Parker, Thomas H. see Groisser, David, 92e:58034 

Picco, Marco see Baulieu, Laurent, 92f:58030 

Pohimeyer, K. see Hauser, C., 92m:81212 

Rakowski, Mark T. see Birmingham, Danny; et al., 92j:81167 

Ratiu, T. S. (with Todorov, Andrei Nikolov) An infinite-dimensional point of view on the 
Weil-Petersson metric. 92m:32035 

Romer, H. Field theoretical applications of the index theorem. A pedagogical introduction. 
92m:58130 

Roslyi, A. A. (with Morozov, A. Yu.) Some examples of computation of the scalar 
determinant in open string theory. 92a:81154 

— see also Morozov, A. Yu., 92a:81155 

Santangelo, E. M. see Falomir, H.; et al., 92a:81121 

Schumacher, Georg see Fujiki, Akira, 92e:32012 








1041 1992 


Soulé, Christophe see Gillet, Henri, 92d:14015 

Stora, R. see Knecht, M.; et al., 92m:81252 

Takhtadzhyan, L. A. (with Zograf, P.G.) A local index theorem for families of 3-operators 
on punctured Riemann surfaces and a new Kahler metric on their moduli spaces. 
92g:58121 

Teofilatto, Paolo Sheaves of graded Lie algebras over variable Riemann surfaces and a 
paired Weil-Petersson inner product. 92m:32036 

Thomaz, M.T. see Dias, Sebastiao A., 92i1:81196 

Thompson, George see Birmingham, Danny; et al., 92e:81266 and Blau, Matthias, 92h:81095 

Todorov, Andrei Nikolov see Ratiu, T. S., 92m:32035 

Voros, André see Cartier, Pierre, 92m:11049 

Watanabe, Hiroshi? Mathematical construction of chiral anomaly. 92j:81318 

Wentworth, Richard The asymptotics of the Arakelov-Green’s function and Faltings’ delta 
invariant. 92g:14019 

Witten, Edward Gauge theories and the Jones polynomial. 92g:57019 

(Zagier, Don) see Gillet, Henri, 924:14015 

Zograf, P.G. see Takhtadzhyan, L. A., 92g:58121 


58G28 Bifurcations [see also 35B32] 


Bolley, Catherine Familles de branches de bifurcations dans les équations de Ginzburg- 
Landau. (English summary) [Families of branches of bifurcations in Ginzburg-Landau 
equations] 92c¢:58152 

Cherrier, Pascal (with Milani, Albert) Equations du type de von Karman sur les variétés 
kahlériennes. (English summary) (Equations of von Karman type on Kahler manifolds] 
92b:58240 

Milani, Albert see Cherrier, Pascal, 92b:58240 

Pospiech, Christoph A Dirichlet problem exhibiting global bifurcation with symmetry 
breaking. 92b:58241 

Ruf, Bernhard Singularity theory and the bifurcation structure of a nonlinear elliptic 
equation. 92f:58194 

Smoller, Joel A. (with Wasserman, Arthur G.) Symmetry-breaking bifurcations. 92k:58272 

Wasserman, Arthur G. see Smoller, Joel A., 92k:58272 


Items with secondary classifications in 58G28 

Allgower, Eugene L. (with Bohmer, Klaus; Mei, Zhen) A complete bifurcation scenario 
for the 2-d nonlinear Laplacian with Neumann boundary conditions on the unit square. 
92e:58044 

Bazley, N. W. (with Nguyén Xuan Tan) On the primary and secondary bifurcation of 
equations involving scalar nonlinearities. 92c:58015 

Bohmer, Klaus see Allgower, Eugene L.; et al., 92e:58044 

Caycedo, J. F. see Ortega, L. A., 92e:35029 

Del Pino, Manuel A. (with Manasevich, Raul F.) Global bifurcation from the eigenvalues 
of the p-Laplacian. 92g:35028 

Kashchenko, S. A. Bifurcation singularities in a model of population dynamics that can be 
described by a parabolic equation with small diffusion and with deviation of the space 
variable. (Russian) 92b:92040 

Lin, Sung Shan Symmetry breakings for Au + 2de“ = 0 on disk with general boundary 
conditions. 924:35105 

Lupo, D. (with Micheletti, A.M.) An application to bifurcation problems of cusps in 
Banach spaces. 92i:58037 

Manasevich, Raul F. see Del Pino, Manuel A., 92g:35028 

Mei, Zhen see Allgower, Eugene L.; et al., 92e:58044 

Micheletti, A. M. see Lupo, D., 92i:58037 

Nguyén Xuan Tan see Bazley, N. W., 92c:58015 

Ortega, L. A. (with Caycedo, J. F.) Positive periodic solutions of a nonlinear parabolic 
eigenvalue problem. 92¢:35029 

Ratiner, N. M. see Zvyagin, V. G., 92g:47091 

Rother, Wolfgang' The existence of infinitely many solutions all bifurcating from A = 0. 
92h:35022 

Schecter, Stephen (with Shearer, Michael) Undercompressive shocks for non-strictly 
hyperbolic conservation laws. 924:35188 

Shearer, Michael see Schecter, Stephen, 92d:35188 

Smoller, Joel A. (with Wasserman, Arthur G.) Reduced equivariant Conley index and 
applications. 92b:58038 

Wasserman, Arthur G. see Smoller, Joel A., 92b:58038 

Zvyagin, V.G. (with Ratiner, N. M.) Oriented degree of Fredholm mappings of nonnega- 
tive index and its application to a problem on the global bifurcation of solutions. (Rus- 
sian) 92g:47091 


58G30 Relations with special manifold structures (Riemannian, 
Finsler, etc.) 


Baston, Robert J. Verma modules and differential conformal invariants. 92a:58151 

Benenti, Sergio Stackel systems and Killing tensors. 92m:58146 

Bérard, Pierre Quelques théorémes d’annulation et de majoration d’invariants 
géométriques. (English summary) [Some vanishing and upper-bound theorems for geo- 
metric invariants] 92h:58201 

Chouikha, Raouf Métriques conformement plates et équations de Yang-Mills. (English 
summary) [Conformally flat metrics and Yang-Mills equations] 92e:58227 

Chow, Bennett On the entropy estimate for the Ricci flow on compact 2-orbifolds. 
92e:58228 

Cotsiolis, Athanase (with Iliopoulos, Dimitris) Equations elliptiques non linéaires sur S”. 
Le probléme de Nirenberg. (English summary) [Nonlinear elliptic equations on S". The 
Nirenberg problem] 92i:58204 

Dabrowski, L. (with Rinaldi, Maurizio) Spin structures, spinors and the Dirac operator: 
real versus complex manifolds. 92b:58242 

Delanoé, Philippe The Dirichlet problem for an equation of given Lorentz-Gaussian 
curvature. (Russian. Ukrainian summary) 92a:58152 





58G Partial differential equations on manifolds; differential operators 


58G30 


Friedrich, Thomas (with Pokorna, Olga) Twistor spinors and solutions of the equation (E) 
on Riemannian manifolds. 92m:58147 

Gershkovich, V. Ya. Estimates for e-balls of nonholonomic metrics [in Global analysis 
and nonlinear equations (Russian), 44-57, Voronezh. Gos. Univ., Voronezh, 1988; MR 
90m:58224]. (see 92b:58001) 

Goyal, Vinod B. Remark on a paper of Cheng and Smoller. 92b:58243 

Hamza, Hichem Sur les transformations conformes des variétés riemanniennes a bord. 
(English summary) [On conformal transformations of Riemannian manifolds with 
boundary] 92£:58195 

Hebey, Emmanuel (with Vaugon, Michel) Meilleures constantes dans le théortme 
d’inclusion de Sobolev et multiplicité pour le probléme de Nirenberg. (English summary) 
[Best constants in the Sobolev embedding theorem and multiplicity for the Nirenberg 
problem] 924:58215 

Iliopoulos, Dimitris see Cotsiolis, Athanase, 92i:58204 

Jung, Yoon-Tae On the conformal deformation of Riemannian structures. 92b:58244 

Kang, Tae-Ho (with Kitahara, Haruo; Pak, Jin Suk) A formula for the radial part of the 
Laplace-Beltrami operator on the Riemannian foliation. 92i:58205 

Kato, Shin Symmetric solutions of the equation for the scalar curvature under conformal 
deformation of a Riemannian metric. 92k:58273 

Kitahara, Haruo see Kang, Tae-Ho; et al., 92i:58205 

Kossowski, Marek Local existence of multivalued solutions to analytic symplectic Monge- 
Ampére equations (the nondegenerate and type changing cases). 92h:58202 

Lohoué, Noél Variantes des inégalités de Sobolev et inégalités de Trudinger pour les groupes 
de Lie et les variétés riemanniennes. (English summary) [Variants of Sobolev and 
Trudinger inequalities for Lie groups and Riemannian manifolds] 92f:58196 

Murata, Minoru On construction of Martin boundaries for second order elliptic equations. 
92d:58216 

Pak, Jin Suk see Kang, Tae-Ho; et al., 92i:58205 

Pokorna, Olga see Friedrich, Thomas, 92m:58147 

Rinaldi, Maurizio see Dabrowski, L., 92b:58242 

Rosenberg, Steven Applications of semigroup domination. 92e:58229 

Schimming, Rainer Harmonic differential operators. 92d:58217 

Vaugon, Michel see Hebey, Emmanuel, 92d:58215 

Ye, Fang Cao Invariant differential operators on the nonexceptional and irreducible 
Riemannian symmetric spaces of the third type. (Chinese. English summary) 92m:58148 


Items with secondary classifications in 58G30 


Bagrov, V.G. (with Shapovalov, A. V.; Evseevich, A. A.) Separation of variables in the 
Dirac equation in Stackel spaces. II. External gauge fields. 92b:83041 

Bahri, Abbas (with Coron, Jean-Michel) The scalar-curvature probl 
three-dimensional sphere. 92k:58055 

Bailey, Toby N. (with Eastwood, Michael G.) Complex paraconformal manifolds—their 
differential geometry and twistor theory. 92a:32038 

Bando, Shigetoshi Removable singularities for holomorphic vector bundles. 92a:32037 

Baum, Helga (with Friedrich, Thomas; Grunewald, Ralf; Kath, Ines) * Twistor and Killing 
spinors on Riemannian manifolds. 92h:53055 

Belger, Martin see Schimming, Rainer, 92h:53051 

Birmingham, Danny (with Cho, Hing Tong; Kantowski, Ronald; Rakowski, Mark T.) 
Operator phases in BF -type topological field theories. 92e:81145 

Borbély, Albert A note on the Dirichlet problem at infinity for manifolds of negative 
curvature. 92f:58180 

Cao, Dao Min Yamabe problem in R" and related problems. 92a:35007 

Chang, Sun-Yung A. (with Yang, Paul C.) A perturbation result in prescribing scalar 
curvature on S". 92m:53063 

Chéng, Jih Hsin Curvature functions for the sphere in pseudo-Hermitian geometry. 
92k:32016 

Chéng, Kuo Shun (with Ni, Wei-Ming) On the structure of the conformal Gaussian 
curvature equation on R?. II. 92i:53017 

Cho, Hing Tong see Birmingham, Danny; et al., 92e:81145 

Chow, Bennett The Ricci flow on the 2-sphere. 92d:53036 

Coron, Jean-Michel see Bahri, Abbas, 92k:58055 

Delanoé, Philippe Extending Calabi’s conjecture to complete noncompact Kahler manifolds 
which are asymptotically C", n > 2. 92d:32014 

DeTurck, Dennis M. Local solvability for systems with “extra symbol equivariance”. 
92b:53053 

Eastwood, Michael G. see Bailey, Toby N., 92a:32038 

Escobar, José F. Uniqueness theorems on conformal deformation of metrics, Sobolev 
inequalities, and an eigenvalue estimate. 92f:58038 

Evseevich, A. A. see Bagrov, V. G.; et al., 92b:83041 

Friedrich, Thomas (with Kath, Ines) Compact 5-dimensional Riemannian manifolds with 
parallel spinors. 92m:53080 

— see also Baum, Helga; et al., 92h:53055 

Goldschmidt, Hubert The Radon transform for symmetric forms on real projective spaces. 
92e:53100 

Grunewald, Ralf Six-dimensional Riemannian manifolds with a real Killing spinor. 
92a:58146 

— see also Baum, Helga; et al., 92h:53055 

Habermann, Katharina The twistor equation on Riemannian manifolds. 92m:53081 

Hebda, James J. Two geometric inequalities for the torus. 92d:58210 

Hebey, Emmanuel (with Vaugon, Michel) Remarque sur le probleme de Yamabe. (English 
summary) [A remark about the Yamabe problem] 92c:53018 

— (with Vaugon, Michel) Le probleme de Yamabe équivariant. (English summary) [The 
equivariant Yamabe problem] 92b:53056 

— (with Vaugon, Michel) Multiplicité pour le probleme de Yamabe. (English summary) 
[Multiplicity for the Yamabe problem] 92c:53019 

— (with Vaugon, Michel) Remarque sur le probleme de Yamabe. (English summary) 
[Remark on the Yamabe problem] 92e:53050 

Huisken, Gerhard Singularity formation in geometric evolution equations. 92m:53066 

Isham, C. J. Square root of the Euler class: nowhere-vanishing spinors and spacetime 
topology. 92e:57047 





on the dard 








58G30 


Kantowski, Ronald see Birmingham, Danny; et al., 92e:81145 

Kath, Ines see Baum, Helga; et al., 92h:53055 and Friedrich, Thomas, 92m:53080 

Kobayashi, Osamu * Yamabe no mondai ni tsuite. (Japanese) [On the Yamabe problem] 
92m:53057 

Lichnerowicz, André Spineurs harmoniques et spineurs-twisteurs en géométrie kahlerienne 
et conformément kahlerienne. (English summary) [Harmonic spinors and twistor-spinors 
in Kahler and conformally Kahler geometry] 92b:58235 

Lohoué, Noél (with Zhu, Fu Liu) The weak estimation of certain maximal functions on the 
symmetric spaces. 92d:58202 

— Remarques sur un théoréme de Strichartz. (English summary) [Remarks on a theorem of 
Strichartz] 92b:53059 

Ma, Xiaoyun (with McOwen, Robert C.) Complete conformal metrics with zero scalar 
curvature. 92h:53049 

Markus, Lawrence Generic heat diffusion is scalar controllable. 92c:93017 

Mazzeo, Rafe (with Smale, Nathan) Conformally flat metrics of constant positive scalar 
curvature on subdomains of the sphere. 92i:53034 

McOwen, Robert C. see Ma, Xiaoyun, 92h:53049 

Miller, Detlef Horst (with Ricci, Fulvio) Analysis of second order differential operators on 
Heisenberg groups. I. 92d:22011 

Ni, Wei-Ming see Chéng, Kuo Shun, 92i:53017 

Ouyang, Tiancheng On the positive solutions of semilinear equations Au + Au + hu? =0 on 
compact manifolds. II. 92m:35017 

— On the positive solutions of semilinear equations Au + Au — hu? = 0 on the compact 
manifolds. 92h:35012 

Popov, A. G. see Poznyak, E. G., 92m:35238 

Poznyak, E.G. (with Popov, A. G.) Geometry of the sine-Gordon equation. (Russian) 
92m:35238 

Rakowski, Mark T. see Birmingham, Danny; et al., 92e:81145 

Ricci, Fulvie see Miller, Detlef Horst, 92d:22011 

Rosenberg, Jonathan The KO-assembly map and positive scalar curvature. 92m:53060 

Schimming, Rainer (with Belger, Martin) Polyharmonic radial functions on a Riemannian 
manifold. 92h:53051 

Schoen, Richard M. A report on some recent progress on nonlinear problems in geometry. 
92m:53069 

Semmes, Stephen Differentiable function theory on hypersurfaces in R” (without bounds on 
their smoothness). 92m:30088 

— Analysis vs. geometry on a class of rectifiable hypersurfaces in R”. 92m:30089 

Shapovalov, A. V. see Bagrov, V. G.; et al., 92b:83041 

Smale, Nathan see Mazzeo, Rafe, 92i:53034 

Takano, Kazuhiko On the integrability of a K-conformal Killing equation in a Kaehlerian 
manifold. 92f:53076 

Vaugon, Michel see Hebey, Emmanuel, 92b:53056; 92c:53018; 92c:53019 and 92e:53050 

Wu, Hong You Symmetric properties of eigenfunctions of the Laplace operator on compact 
Riemannian manifolds. 92a:58148 

Wa, Lang-Fang The Ricci flow on 2-orbifolds with positive curvature. 92d:53037 

Xu, Xing Wang Prescribing a Ricci tensor in a conformal class of Riemannian metrics. 
92i:53036 

Yang, Paul C. see Chang, Sun-Yung A., 92m:53063 

Zhou, De Tang Solutions of second order elliptic equations. 92k:35095 

Zhu, Fu Liu see Lohoué, Noél; et al., 92d:58202 


58G32 Diffusion processes and stochastic analysis on manifolds 


Akiyama, Hiroshi Applications of nonstandard analysis to stochastic flows and heat kernels 
on manifolds. 92:58197 

— Backward Ité’s formula for sections of a fibered manifold. 92f:58198 

— Stochastic flows of automorphisms of G-structures of degree r. 92e:58230 

Albeverio, Sergio (with Hoegh-Krohn, Raphael J.; Holden, Helge; Kolsrud, T.) A covariant 
Feynman-Kac formula for unitary bundles over Euclidean space. 92b:58245 

— (with Iwata, Koichiro; Kolsrud, T.) Conformally invariant and reflection positive random 
fields in two dimensions. 92k:58274 

Bakry, Dominique Ricci curvature and dimension for diffusion semigroups. 92e:58231 

Belopol’skaya, Ya. I. Second-order parabolic equations in principal fibre bundles and 
associated vector bundles [in Topological and g ic methods of analysis (Russian), 
29-42, Voronezh. Gos. Univ., Voronezh, 1989; MR 91e:58209]. (see 92b:58001) 

— Parabolic equations in sections of principal bundles. (Russian) 92m:58149 

Blimlinger, Martin Sample path properties of diffusion processes on compact manifolds. 
92b:58246 

Chavel, Isaac (with Feldman, Edgar A.; Rosen, Jay S.) Fluctuations of the Wiener sausage 
for surfaces. 92e:58232 

Dell’Antonio, Gianfausto Stochastic stability for vector fields with a manifold of singular 
points, and an application to lattice gauge theory. 92f:58199 

Deuschel, Jean-Dominique On estimating the hypercontractive constant of a diffusion 
process on a compact manifold. 92e:58233 

Emery, Michel On two transfer principles in stochastic differential geometry. 92a:58153 

Feldman, Edgar A. see Chavel, Isaac; et al., 92e:58232 

Heegh-Krohn, Raphael J. see Albeverio, Sergio; et al., 92b:58245 

Holden, Helge see Albeverio, Sergio; et al., 92b:58245 

Huang, Zhi Yuan (with Ren, Jia Gang) Quasi sure stochastic flows. 92d:58218 

Ikeda, Nobuyuki (with Ogura, Yukio) A degenerating sequence of Riemannian metrics on a 
manifold and their Brownian motions. 92e:58234 

Iwata, Koichiro see Albeverio, Sergio; et al., 92k:58274 

Kifer, Yuri Random perturbations of dynamical systems: a new approach. 92g:58133 

Kolsrud, T. see Albeverio, Sergio; et al., 92b:58245 and 92k:58274 

Liao, Ming Brownian motions and the geometry of manifolds. 92m:58150 

Lohoué, Noél Estimations de certaines fonctions maximales et des transformées de Riesz 
multiples sur les variétés de Cartan-Hadamard et les groupes unimodulaires. (English 
summary) [Estimates of multiple Riesz transforms and some maximal functions on 
Cartan-Hadamard manifolds and unimodular groups] 92f:58200 

Lyons, Terry Instability of the conservative property under quasi-isometries. 92k:58275 





GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Ogura, Yukio see Ikeda, Nobuyuki, 92e:58234 

Pauwels, E. J. Riemannian submersions of Brownian motions. 92f:58201 

Picard, Jean Martingales on Riemannian manifolds with prescribed limit. 92g:58134 

Ren, Jia Gang see Huang, Zhi Yuan, 92d:58218 

Rosen, Jay S. see Chavel, Isaac; et al., 92e:58232 

Stafford, Seth A stochastic criterion for Yang-Mills connections. 924:58219 

Takeda, Masayoshi On the conservativeness of the Brownian motion on a Riemannian 
manifold. 92d:58220 

Uemura, Hideaki Off-diagonal short time expansion of the heat kernel on a certain nilpotent 
Lie group. 92e:58235 

Vazquez-Abal, Maria Elena Harmonicity and Brownian motion. 92k:58276 

Watanabe, Shinzo Short time asymptotic problems in Wiener functional integration theory. 
Applications to heat kernels and index theorems. 92j:58115 


Items with secondary classifications in 58G32 


Airault, Hélene Differential calculus on finite codimensional submanifolds of the Wiener 
space—the divergence operator. 92k:60119 

Albeverio, Sergio (with Zegarlinski, Bogustaw) Construction of convergent simplicial 
approximations of quantum fields on Riemannian manifolds. 92¢:81119 

Applebaum, David Towards a quantum theory of classical diffusions on Riemannian 
manifolds. 92j:81117 

Baxendale, Peter H. Statistical equilibrium and two-point motion for a stochastic flow of 
diffeomorphisms. 92m:60051 

Carne, T. K. The geometry of shape spaces. 92h:60016 

Chavel, Isaac (with Feldman, Edgar A.) Modified isoperimetric constants, and large time 
heat diffusion in Riemannian manifolds. 92m:58132 

Duncan, T. E. (with Upmeier, Harald) Stochastic control probl in sy 
spherical functions. 92m:93050 

— Some solvable stochastic control problems in noncompact symmetric spaces of rank one. 
92f:93127 

Elworthy, K. D. The method of images for the heat kernel of S>. 92g:58124 

— (with Rosenberg, Steven) Manifolds with wells of negative curvature. 92a:53059 

Feldman, Edgar A. see Chavel, Isaac, 92m:58132 

Franchi, J. Théoréme des résidus asymptotique pour le mouvement brownien sur une 
surface riemannienne compacte. (English summary) [Asymptotic residue theorem for 
Brownian motion on a compact Riemann surface] 92k:60112 

Fujiwara, Tsukasa Stochastic differential equations of jump type on manifolds and Lévy 
flows. 92k:60128 

Gliklikh, Yu. E. On a Lagrangian app 
ible fluid. (Russian) 92j:58015 

Guivare’h, Yves (with Le Jan, Yves) Sur l’enroulement du flot géodésique. (English 
summary) [On the winding of the geodesic flow] 92b:58175 

Hsu, Pei Heat kernel on noncomplete manifolds. 92¢:58143 

Ikeda, Nobuyuki Probabilistic methods in the study of asymptotics. 92k:60145 

Kendall, Wilfrid S. Convexity and the hemisphere. 92h:58021 

Kwon, Youngmee (with Williams, Ruth J.) Reflected Brownian motion in a cone with 
radially homogeneous reflection field. 92a:60174 

Léandre, Rémi Strange behaviour of the heat kernel on the diagonal. 92j:60071 

Ledrappier, F. Harmonic measures and Bowen-Margulis measures. 92a:58107 

Le Jan, Yves Asymptotic properties of isotropic Brownian flows. 92k:60142 

— see also Guivare’h, Yves, 92b:58175 

Liu, Wen Xiong Singular solutions for a convection diffusion equation with absorption. 
92m:35121 

Prat, Jean-Jacques Equation de Schrodinger: analyticité transverse de la densité de la loi 
dune fonctionnelle additive. (English summary) [The Schrédinger equation: transverse 
analyticity of the distribution of an additive functional] 92k:60122 

Rogers, Alice Stochastic calculus in superspace and supersymmetric Hamiltonians. 
92j:81133 

Rosenberg, Steven see Elworthy, K. D., 92a:53059 

(Ruberman, Daniel) see Elworthy, K. D., 92a:53059 

Saloff-Coste, Laurent (with Stroock, Daniel W.) Opérateurs uniformément sous-elliptiques 
sur les groupes de Lie. (English summary) [Uniformly subelliptic operators on Lie groups] 
92k:58264 

Sidorowicz, Jézef Estimation of the transition density of a diffusion process in a thin tube on 
a smooth Riemannian manifold. (Russian) 92c:60104 

Spathopoulos, M. P. A stochastic integral representation for functionals of diffusions on 
manifolds. 92f:60110 

Stafford, Seth A probabilistic proof of S.-Y. Cheng’s Liouville theorem. 92a:58038 

Stroock, Daniel W. see Saloff-Coste, Laurent, 92k:58264 

Upmeier, Harald see Duncan, T. E., 92m:93050 

Williams, Ruth J. see Kwon, Youngmee, 92a:60174 

Zegarlitiski, Bogusiaw see Albeverio, Sergio, 92c:81119 





‘tric cones and 





h to the hydrody ics of a viscous incompress- 


58G35 Invariance and symmetry properties [see also 35A30] 


Ames, W. F. Symmetry in nonlinear mechanics. 92k:58277 

Baikov, V. A. (with Gazizov, R. K.; Ibragimov, N. Kh.) Approximate symmetries and 
conservation laws. (Russian) 92m:58151 

Barannik, A. F. (with Barannik, L. F.; Fushchich, V. 1.) Reduction and exact solutions of 
the eikonal equation. (Russian. Ukrainian summary) 92h:58203 

— see also Fushchich, V. L.; et al., 92b:58248 and 92b:58249 

Barannik, L. F. see Barannik, A. F.; et al., 92h:58203 

Baston, Robert J. (with Eastwood, Michael G.) Invariant operators. 92b:58247 

Durand, Stéphane (with Lina, Jean-Marc; Vinet, Luc) Symmetries of Dirac equations and 
constants of motion for supersymmetric Hamiltonians. (see 92£:81008) 

Eastwood, Michael G. see Baston, Robert J., 92b:58247 

Fels, Mark (with Kamran, Niky) Nonfactorizable separable systems and second-order 
symmetries of the Dirac operator on a four-dimensional Lorentzian spin manifold. 
92m:58152 


—— 


—— eae 





1043 1992 


Fushchich, V.1. (with Barannik, A. F.; Moskalenko, Yu. D.) Exact solutions of the 
d’Alembert and Liouville equations in the pseudo-Euclidean space R22. I. (Russian. 
Ukrainian summary) 92b:58248 

— (with Barannik, A. F.; Moskalenko, Yu. D.) Exact solutions of d’Alembert and Liouville 
equations in the pseudo-Euclidean space R22. II. (Russian. Ukrainian summary) 
92b:58249 

— (with Zhdanov, R. Z.) Non-Lie ansatze and exact solutions of a nonlinear spinor 
equation. (Russian. Ukrainian summary) 92e:58236 

— see also Barannik, A. F.; et al., 92h:58203 

Gautrin, H.-F. (with Grundland, Alfred M.) Invariance algebra for Euler equations. 
92g:58135 

Gazizov, R. K. see Baikov, V. A.; et al., 92m:58151 

Grundland, Alfred M. see Gautrin, H.-F., 92g:58135 

Ibragimov, N. Kh. see Baikov, V. A.; et al., 92m:58151 

Kalnins, E.G. (with Levine, Raphael D.; Miller, Willard, Jr.) Conformal symmetries and 
generalized recurrences for heat and Schrédinger equations in one spatial dimension. 
924:58221 

Kamran, Niky see Fels, Mark, 92m:58152 

Levine, Raphael D. see Kalnins, E. G.; et al., 92d:58221 

Lina, Jean-Marc see Durand, Stéphane; et al., (92f:81008) 

Miller, Willard, Jr. Mechanisms for variable separation in partial differential equations and 
their relationship to group theory. 92e:58237 

— see also Kalnins, E. G.; et al., 92d:58221 

Moskalenko, Yu. D. see Fushchich, V. 1.; et al., 92b:58248 and 92b:58249 

Nikitin, A.G. (with Prilipko, A. I.) Generalized Killing tensors and the symmetry of the 
Klein-Gordon-Fock equation. (Russian. English summary) 92b:58250 

Prilipko, A. I. see Nikitin, A. G., 92b:58250 

Profilo, Gabriella (with Soliani, Giulio) Noether invariants and complete Lie-point 
symmetries for equations of the Hill type. 92¢:58153 

Reid, Gregory J. Finding abstract Lie symmetry algebras of differential equations without 
integrating determining equations. 92m:58153 

Sarlet, W. Adjoint symmetries of second-order differential equations and generalizations. 
92b:58251 

Soliani, Giulio see Profilo, Gabriella, 92c:58153 

Vinet, Luc see Durand, Stéphane; et al., (92f:81008) 

(Vinogradov, A.M.) see Symmetries of partial differential equations, 92b:58252 

Vorob’ev, E.M. Reduction and quotient equations for differential equations with symme- 
tries. 92i:58206 

Zhdanov, R. Z. see Fushchich, V. I., 92e:58236 


Items listed otherwise than by author 


Symmetries of partial differential equations * Symmetries of partial differential equations. 
92b:58252 


Items with secondary classifications in 58G35 


Bagrov, V.G. (with Samsonov, B. F.; Shapovalov, A. V.; Shirokov, I. V.) Complete sets of 
symmetry operators that contain a second-order operator, and the problem of separation 
of variables in the wave equation. (Russian) 92h:35117 

Baston, Robert J. Verma modules and differential conformal invariants. 92a:58151 

Berest, Yu. Yu. Construction of fundamental solutions for Huygens equations as invariant 
solutions. (Russian) 92e:35005 

Cabau, Patrick (with Grifone, Joseph; Mehdi, Mohamad) Existence de lois de conservation 
dans le cas cyclique. (English summary) [Existence of conservation laws in the cyclic case] 
92k:58283 

Champagne, B. (with Hereman, Willy; Winternitz, Pavel) The computer calculation of Lie 
point symmetries of large systems of differential equations. 92f:58001 

Cohen de Lara, Michel A note on the symmetry group and perturbation algebra of a 
parabolic partial differential equation. 92g:35095 

Duzhin, S. V. (with Lychagin, V. V.) Sy ries of distributions and quadrature of 
ordinary differential equations. 92g:35011 

Eastwood, Michael G. (with Rice, John William) Erratum: “Conformally invariant 
differential operators on Minkowski space and their curved analogues” [Comm. Math. 
Phys. 109 (1987), no. 2, 207-228; MR 89d:22012]. , 92k:22026 

Euler, N. (with Steeb, Willi-Hans; Mulser, P.) Symmetries of a nonlinear equation in 
plasma physics. 

— (with Steeb, Willi-Hans; Mulser, P.) Corrigendum: “Symmetries of a nonlinear equation 
in plasma physics” [J. Phys. A 24 (1991), no. 14, L785-L787]. 

Fedorchuk, V.M. Operators invariant under nonsplittable subgroups of the generalized 
Poincaré group P(1,4). (Russian) (see 92b:35011) 

Ferapontov, E. V. Autotransformations with respect to the solution, and hydrodynamic 
symmetries. (Russian) 92m:35013 

Flato, Moshé (with Fronsdal, Christian) Three-dimensional singletons. 92g:81133 

Fronsdal, Christian see Flato, Moshé, 92g:81133 

Fuchs, J.C. Symmetry groups and similarity solutions of MHD equations. 92g:76083 

Fushchich, V.1I. (with Serov, N. 1.) Conditional invariance of the nonlinear wave equation. 
(Russian. Ukrainian summary) 92b:35096 

— see also Zhdanov, R. Z., 92j:81084 

Grifone, Joseph see Cabau, Patrick; et al., 92k:58283 

Hereman, Willy see Champagne, B.; et al., 92f:58001 

Hu, Xing Biao New sets of symmetries for some nonlinear evolution equations. (Chinese. 
English summary) 92k:58241 

Ibragimov, N. Kh. (with Torrisi, Mariano; Valenti, Antonino) Preliminary group classifica- 
tion of equations vy, = f(x, Ux)Uxx + g(x, Ux). 92m:35014 

Ivanova, T. A. Nahm equations and self-dual connections. (Russian) 92k:58280 

Kagramanov, E. D. (with Mir-Kasimov, R. M.; Nagiev, Sh. M.) The covariant linear 
oscillator and generalized realization of the dynamical SU(1, 1) symmetry algebra. 
92b:81024 

Kalnins, E.G. see Miller, Willard, Jr., 92f:35036 

Kersten, Paul H. M. see Sluis, W. M., 92b:81109 

Khorkova, N.G. @-spectral sequence of evolution equations. (Russian) 92k:58284 





58G Partial differential equations on manifolds; differential operators 


58G37 


Kordnyi, Adam Transformation properties of the generalized Muirhead operators. 
92b:35156 

Lychagin, V. V. see Duzhin, S. V., 92g:35011 

Mehdi, Mohamad see Cabau, Patrick; et al., 92k:58283 

Miller, Willard, Jr. (with Kalnins, E.G.) Separation of variables methods for systems of 
differential equations in mathematical physics. 92f:35036 

Mir-Kasimov, R. M. see Kagramanov, E. D.; et al., 92b:81024 

Moshinsky, Marcos see Quesne, C., 92a:81025 

Mulser, P. see Euler, N.; et al. 

Nagiev, Sh. M. see Kagramanov, E. D.; et al., 92b:81024 

Nixon, J. H. Application of Lie groups and differentiable manifolds to general methods for 
simplifying systems of partial differential equations. 92e:35017 

Pucci, Edvige (with Saccomandi, Giuseppe) On the weak symmetry groups of partial 
differential equations. 92k:35012 

Quesne, C. (with Moshinsky, Marcos) Symmetry Lie algebra of the Dirac oscillator. 
92a:81025 

Rice, John William see Eastwood, Michael G., 92k:22026 

Rogers, Colin Physical applications of reciprocal transformations. 92d:58223 

Rudra, P. Symmetry group of point transformations for the time-dependent Schrédinger 
equation: harmonic interactions among nucleons. 92i:81360 

Saccomandi, Giuseppe see Pucci, Edvige, 92k:35012 

Samsonov, B. F. see Bagrov, V. G.; et al., 92h:35117 

Serov, N. I. see Fushchich, V. I., 92b:35096 

Shapovalov, A. V. see Bagrov, V. G.; et al., 92h:35117 

Shemarulin, V. E. The basis of contact conservation laws in one-dimensional gas dynamics. 
(Russian) 92m:76116 

Shirokov, I. V. see Bagrov, V. G.; et al., 92h:35117 

Sluis, W. M. (with Kersten, Paul H. M.) Nonlocal higher-order symmetries for the 
Federbush model. 92b:81109 

Steeb, Willi-Hans see Euler, N.; et al. 

Torrisi, Mariano see Ibragimov, N. Kh.; et al., 92m:35014 

Turakulov, Z. Ya. Separating coordinate systems in the Minkowskian space-time. 92f:83038 

Valenti, Antonino see Ibragimov, N. Kh.; et al., 92m:35014 

Viswanathan, R. Raju Classical extended conformal symmetries. 92a:17049 

Winternitz, Pavel see Champagne, B.; et al., 92f:58001 

Zhdanov, R. Z. (with Fushchich, V. 1.) On the non-Lie symmetry of a Galilei-invariant 
equation for a particle with spin s = 1/2. (Russian. English summary) 92j:81084 

— Symmetry and exact solutions of nonlinear Galilei-invariant equations for a spinor field. 
(Russian. Ukrainian summary) 924:81053 


58G37 Correspondences and other transformation methods (e.g. 
Lie-Backlund) [see also 35A22] 


Edelen, Dominic G. B. (with Wang, Jian Hua”) Transformation methods for solving 
nonlinear field equations. 92d:58222 

Fava, Franco (with Garbiero, Sergio) The Backlund problem for the equation f(x, t)zxx — 
Z = 0. (Italian summary) 92¢e:58238 

Garbiero, Sergio see Fava, Franco, 92e:58238 

Konopel’chenko, B. G. (with Rogers, Colin) Backlund and reciprocal transformations: gauge 
connections. 92k:58278 

Olver, Peter J. Internal symmetries of differential equations. 92e:58239 

Post, Gerhard On Backlund transformations and identities in bilinear form. 92b:58253 

Rogers, Colin Physical applications of reciprocal transformations. 92d:58223 

— see also Konopelchenko, B. G., 92k:58278 

Roy Choudhury, S. Painlevé analysis and special solutions of two families of reaction- 
diffusion equations. 92h:58204 

Tafel, Jacek A comparison of solution generating techniques for the self-dual Yang-Mills 
equations. II. 92e:58240 

Wang, Jian Hua’ see Edelen, Dominic G. B., 92d:58222 


Items with secondary classifications in 58G37 

Anderson, Arlen Intertwining of exactly solvable Dirac equations with one-dimensional 
potentials. 92a:81020 

Asano, Naruyoshi (with Kato, Yusuke) * Algebraic and spectral methods for nonlinear 
wave equations. 92d:35001 

Athorne, Chris (with Nimmo, J. J.C.) On the Moutard transformation for integrable 
partial differential equations. 92k:35011 

Baekler, Peter Prolongation structure and Backlund transformations of gravitational double 
duality equations. 92¢:83037 

Bernardi, Enrico (with Nishitani, Tatsuo) Remarks on symmetrization of 2 x 2 systems and 
the characteristic manifolds. 92k:35176 

Bikbaev, R. F. (with Tarasov, V.O.) Initial-boundary value problem for the nonlinear 
Schrédinger equation. 924:35267 

Bluman, George Potential symmetries. 92m:35012 

Chan, Ling-Lie (with Shao, Chin Ch’ang; Yen, Huang Ch’é) An alternative explicit 
construction of N-soliton solutions in | + 1 dimensions. 92h:35198 

Doliwa, Adam (with Sym, Antoni) On Kida class of vortex filament motions. 92h:76029 

Edelen, Dominic G. B. Ideals and solutions of nonlinear field equations. 92a:58004 

Ferapontov, E. V. * IIpeo6pa30sanua Boxnyuaa runep6onmyeckux cucTem Audep- 
eHHasIbHBIX ypaBHeHuh. (Russian) [Backlund transformations of hyperbolic systems of 
differential equations] 92a:35104 

Gesztesy, F. (with Holden, Helge; Saab, Elias; Simon, Barry) Explicit construction of 
solutions of the modified Kadomtsev-Petviashvili equation. 92h:35206 

Grundland, Alfred M. On the behaviour of solutions of the Laplace-Beltrami equations. 
92a:35009 

Holden, Helge see Gesztesy, F.; et al., 92h:35206 

Kamran, Niky Contributions to the study of the equivalence problem of Elie Cartan and its 
applications to partial and ordinary differential equations. (French summary) 92h:58008 

Kato, Yusuke see Asano, Naruyoshi, 92d:35001 





58G37 


Kilp, Helgi Backlund transformations and geometry of multidimensional three-webs. 
92h:53034 

Kingston, J.G. (with Sophocleous, C.) On point transformations of a generalised Burgers 
equation. 92a:35142 

— see also Sophocleous, C., 92k:35250 

Kramer, Dietrich (with Neugebauer, Gernot; Matos, Tonatiuh) Backlund transforms of 
chiral fields. 92k:83027 

Lakshmanan, M. (with Porsezian, K.) Planar radially symmetric Heisenberg spin 
system and generalized nonlinear Schrédinger equation: gauge equivalence, Backlund 
transformations and explicit solutions. 92a:82024 


Leon, Jéréme Jp. Nonlinear evolutions, spectral transform and solitons in 3 + 1 dimensions. 


924:35279 

Matos, Tonatiuh see Kramer, Dietrich; et al., 92k:83027 

Neugebauer, Gernot see Kramer, Dietrich; et al., 92k:83027 

Nimmo, J. J.C. see Athorne, Chris, 92k:35011 

Nishitani, Tatsuo see Bernardi, Enrico, 92k:35176 

Pasquier, J.-Y. (with Pasquier, R.) Paired integral expressions associated with some 
nonlinear partial differential equations: basic definitions in one example. 92d:58190 

Pasquier, R. see Pasquier, J.-Y., 92d:58190 

Porsezian, K. see Lakshmanan, M., 92a:82024 

Preitschopf, Christian R. (with Thorn, Charles B.) The Backlund transform for the 
Liouville field in a curved background. 92e:81242 

Saab, Elias see Gesztesy, F.; et al., 92h:35206 

Shao, Chin Ch’ang see Chau, Ling-Lie; et al., 92h:35198 

Simon, Barry see Gesztesy, F.; et al., 92h:35206 

Sophocleous, C. (with Kingston, J.G.) A class of Backlund transformations for equations 
of the type uxy = f(u, ux). 92k:35250 

— see also Kingston, J. G., 92a:35142 

Stovitek, Pavel On the initial condition for instanton solutions. 92¢:14013 

Sym, Antoni see Doliwa, Adam, 92h:76029 

Tarasov, V.O. see Bikbaev, R. F., 92d:35267 

Tenenblat, Keti On the intrinsic generalized wave and sine-Gordon equations. 92h:35214 

Thorn, Charles B. see Preitschopf, Christian R., 92e:81242 

Yen, Huang Ch’é see Chau, Ling-Lie; et al., 92h:35198 





58G40 Applications 


Ablowitz, Mark J. see Chakravarty, Sarbarish; et al., 92k:58279 

Chakravarty, Sarbarish (with Ablowitz, Mark J.; Clarkson, Peter A.) One-dimensional 
reductions of self-dual Yang-Mills fields and classical equations. 92k:58279 

Clarkson, Peter A. see Chakravarty, Sarbarish; et al., 92k:58279 

Ivanova, T. A. Nahm equations and self-dual connections. (Russian) 92k:58280 

Papadopoulos, N. A. The role of stratification in anomalies. 92m:58154 


Items with secondary classifications in 58G40 


Albertin, Uwe K. see Cleveland, Michael G.; et al., 92e:81261 

Arai, Asao (with Ogurisu, Osamu) Meromorphic N = 2 Wess-Zumino supersymmetric 
quantum mechanics. 92m:81062 

Bleecker, David D. Diffusive inflationary cosmology. 92i:58181 

Cleveland, Michael G. (with Pritchett, Tim; Albertin, Uwe K.) A supersymmetric theory of 
even-rank antisymmetric tensor fields. 92e:81261 

Nazaikinskii, V. E. (with Sternin, B. Yu.; Shatalov, V. E.) Application of Maslov’s operator 
method to a diffraction problem. (Russian) 

Niemi, Antti J. (with Pasanen, Pirjo) Orbit geometry, group representations and topologi- 
cal quantum field theories. 92h:58036 

Ogurisu, Osamu see Arai, Asao, 92m:81062 

Olivier, Dominique (with Valent, G.) Multiplicative renormalizability and the Laplace- 
Beltrami operator. 92e:81160 

Pasanen, Pirjo see Niemi, Antti J., 92h:58036 

Pritchett, Tim see Cleveland, Michael G.; et al., 92e:81261 

Robbins, Jonathan M. Maslov indices in the Gutzwiller trace formula. 92h:81040 

Shapovalov, A. V. (with Shirokov, I. V.) Noncommutative integration of Klein-Gordon and 
Dirac equations in Riemannian spaces with a group of motions. (Russian) 92h:81064 

Shatalov, V. E. see Nazaikinskii, V. E.; et al. 

Shirokov, I. V. see Shapovalov, A. V., 92h:81064 

Sternin, B. Yu. see Nazaikinskii, V. E.; et al. 

Valent, G. see Olivier, Dominique, 92e:81160 

Villalba, Victor M. Separation of variables and exact solution of the Dirac equation in 
nonstatic Minkowski spacetimes. 92i:81050 

Witten, Edward Quantum field theory and the Jones polynomial. (see 92i:57011) 


58G99 None of the above, but in this section 


Cosgrove, Christopher M. On an overdetermined Euclidean/Poincaré-invariant system of 
partial differential equations. 92h:58205 

Gol'dshtein, V.M. (with Kuz'minov, V. 1.; Shvedov, I. A.) L,-cohomology of warped 
cylinders. (Russian) 92g:58136 

Kossowski, Marek PDE admitting Lagrangian solutions with nontrivial homotopy 
invariants (-degree, polarization index, Maslov period). 92f:58202 

Kuz'minov, V.I. see Gol'dshtein, V. M.; et al., 92g:58136 

Shvedov, I. A. see Gol'dshtein, V. M.; et al., 92g:58136 


Items with secondary classifications in 58G99 

Ancona, Alano Théorie du potentiel sur les graphes et les variétés. [Potential theory on 
graphs and manifolds] 92g:31012 

Apanasov, B. N. Kobayashi conformal metric on manifolds, Chern-Simons and n- 
invariants. 92f:58027 

Arai, Asao (with Mitoma, Itaru) de Rham-Hodge-Kodaira decomposition in oo- 
dimensions. 92k:58007 


GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 1992 1044 


Himonas, A. Alexandrou Finite type analytic partial differential operators and analytic 
hypoellipticity. 92m:35048 

Li, Jia Yu? Gradient estimates and Harnack inequalities for nonlinear parabolic and 
nonlinear elliptic equations on Riemannian manifolds. 92k:58257 

Mitoma, Itaru see Arai, Asao, 92k:58007 

Shatalov, V. E. see Sternin, B. Yu., 92i:32040 

Sternin, B. Yu. (with Shatalov, V. E.) A formula for the asymptotic expansion of an integral 
in complex analysis. (Russian) 92i:32040 

Vinogradov, A. M. Scalar differential invariants, diffieties and characteristic classes. 
92e:58244 


58Hxx Pseudogroups, differentiable groupoids and 
general structures on manifolds 


58H05 Pseudogroups and differentiable groupoids 
[see also 22A22, 22E65] 


Albert, Claude (with Dazord, Pierre) Groupoides de Lie et groupoides symplectiques. [Lie 
groupoids and symplectic groupoids] 92m:58155 

— Sur le feuilletage caractéristique des groupoides de Poisson. (English summary) [The 
characteristic foliation of Poisson groupoids] 92j:58117 

Chrastina, Jan On formal theory of differential equations. III. (Czech summary) 92g:58137 

Dazord, Pierre (with Hector, Gilbert) Intégration symplectique des variétés de Poisson 
totalement asphériques. (English summary) [Symplectic integration of totally aspherical 
Poisson manifolds] 92k:58281 

— (with Sondaz, Daniel) Groupes de Poisson affines. [Affine Poisson groups] 92k:58282 

— (with Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan) Affinoides de Poisson. (English 
summary) [Affinoid Poisson structures] 92j:58116 

— see also Albert, Claude, 92m:58155 

Hector, Gilbert see Dazord, Pierre, 92k:58281 

Higgins, Philip J. (with Mackenzie, Kirill) Algebraic constructions in the category of Lie 
algebroids. 92e:58241 

Kamran, Niky (with Shadwick, William F.) E. Cartan’s method of equivalence and Lie 
pseudo-groups. 92e:58242 

Kubarski, Jan Lie algebroid of a principal fibre bundle. 92h:58206 

Lisiecki, Krzysztof Foliated groupoids. 92a:58154 

La, Jiang-Hua see Dazord, Pierre; et al., 92j:58116 

Mackenzie, Kirill see Higgins, Philip J., 92e:58241 

Molino, Pierre Un théoréme d’équivalence en géométrie symplectique. [An equivalence 
theorem in symplectic geometry] 92g:58138 

Pommaret, Jean-Francois Gauge theory and general relativity. 92e:58243 

Shadwick, William F. Lie pseudogroups, symmetries and normal forms. 92d:58224 

— see also Kamran, Niky, 92e:58242 

Sondaz, Daniel see Dazord, Pierre; et al., 92j:58116 and 92k:58282 

Vaisman, Izu Foliate partial holomorphic structures on principal bundles. 92i:58207 

Weinstein, Alan see Dazord, Pierre; et al., 92j:58116 


Items with secondary classifications in 58H05 

Garcia Pérez, Pedro L. (with Muiioz Masqué, Jaime) Differential invariants on the bundles 
of linear frames. 92h:53033 

Ge, Zhong Generating functions, Hamilton-Jacobi equations and symplectic groupoids on 
Poisson manifolds. 92¢:58033 

Kim, Hyuk Space of geometric structures whose developments are coverings. 92b:57020 

Lashof, R. Equivariant prequantization. 92e:58080 

Marvan, M. On the #-spectral sequence with “general” coefficients. 92¢:58201 

Muiioz Masqué, Jaime see Garcia Pérez, Pedro L., 92h:53033 

Reid, Gregory J. Finding abstract Lie symmetry algebras of differential equations without 
integrating determining equations. 92m:58153 

Rubtsov, V. N. Remarks on Lefschetz formulas for elliptic Spencer complexes. (Russian) 
92f:58168 

(Vinogradov, A.M.) see Symmetries of partial differential equations, 92b:58252 

Weinstein, Alan (with Xu, Ping) Extensions of symplectic groupoids and quantization. 
92k:58094 

Xu, Ping see Weinstein, Alan, 92k:58094 


Items listed otherwise than by author 


Symmetries of partial differential equations * Symmetries of partial differential equations. 
92b:58252 


58H10 Cohomology of classifying spaces for pseudogroup 
structures (Spencer, Gel‘fand-Fuks, etc.) [see also 57R32] 


Bartik, Vojtéch (with Vanzura, Jiti) Losik cohomology of the Lie algebra of infinitesimal 
automorphisms of a G-structure. II. 92d:58225 

Cabau, Patrick (with Grifone, Joseph; Mehdi, Mohamad) Existence de lois de conservation 
dans le cas cyclique. (English summary) [Existence of conservation laws in the cyclic case] 
92k:58283 

Grifone, Joseph see Cabau, Patrick; et al., 92k:58283 

Haddak, Akli see Pommaret, Jean-Francois, 92i:58208 

Jekel, Solomon M. A spectral sequence for pseudogroups on R. 92m:58156 

Khor‘kova, N. G. @-spectral sequence of evolution equations. (Russian) 92k:58284 

Lychagin, V. V. see Zil/bergleit, L. V., 92£:58203 and (92b:58001) 

Mehdi, Mohamad see Cabau, Patrick; et al., 92k:58283 

Morimoto, Tohru Generalized Spencer cohomology groups and quasi-regular bases. 
92¢:58154 

Poletaeva, E. Structure functions on the usual and exotic symplectic and periplectic 
supermanifolds. 92h:58207 





1045 1992 


Pommaret, Jean-Francois Geometric methods for Cosserat media. 924:58226 

— (with Haddak, Akli) Effective methods for systems of algebraic partial differential 
equations. 92i:58208 

Vaisman, Izu Remarks on the Lichnerowicz-Poisson cohomology. (French summary) 
92¢:58155 

Vaniura, Jiti see Bartik, Vojtéch, 92d:58225 

Zil’bergleit, L. V. (with Lychagin, V. V.) Duality in the stable Spencer cohomology. 
(Russian) 92:58203 

— (with Lychagin, V. V.) Spencer cohomology of differential equations [in Global analysis 
and nonlinear equations (Russian), 76-91, Voronezh. Gos. Univ., Voronezh, 1988; MR 
90m:58246]. (see 92b:58001) 


Items with secondary classifications in 58H10 

Konderak, Jerzy J. Fibre bundles associated with fields of geometric objects and the 
structure tensor. 92e:53035 

Vinogradov, M. M. On a general algebraic theory of linear differential operators. I. (Russian) 
92g:12008 

Weinstein, Alan (with Xu, Ping) Extensions of symplectic groupoids and quantization. 
92k:58094 

Xu, Ping see Weinstein, Alan, 92k:58094 


58H15 Deformations of structures [see also 32Gxx, 58G05] 


Hangan, Théodor Complexes différentiels associés aux pseudo-groupes projectif et 
conforme. (English summary) [Differential complexes associated with the projective and 
conformal pseudogroups] 92d:58227 


Items with secondary classifications in 58H15 

Bonatti, Christian (with Haefliger, André) Déformations de feuilletages. [Deformations of 
foliations] 92k:57051 

Goldschmidt, Hubert The Radon transform for symmetric forms on real projective spaces. 
92e:53100 

Haefliger, André see Bonatti, Christian, 92k:57051 

Karasév, M. V. see Vorob/ev, Yu. M., (92b:58001) 

K Sch bach, Yvette Champs affines de multivecteurs sur les groupes de Lie. 
(English summary) [Affine multivector fields on Lie groups] 92d:17023 

Vorob’ev, Yu. M. (with Karasév, M. V.) Deformation and cohomologies of Poisson brackets 
[in Topological and geometric methods of analysis (Russian), 75-89, Voronezh. Gos. 
Univ., Voronezh, 1989; MR 91g:58098]. (see 92b:58001) 





58H99 None of the above, but in this section 


Marmo, G. (with Morandi, Giuseppe) On the inverse problem with symmetries, and the 
appearance of cohomologies in classical Lagrangian dynamics. 92m:58157 

Morandi, Giuseppe see Marmo, G., 92m:58157 

Vinogradov, A. M. Scalar differential invariants, diffieties and characteristic classes. 
92e:58244 


Items with secondary classifications in 58H99 

Anderson, Ian M. (with Thompson, Gerard) The inverse problem of the calculus of 
variations for ordinary differential equations. 92k:58070 

Cianci, Roberto Some results in the theory of systems of second order partial differential 
equations on superspace. 92¢:58030 

Czichowski, Ginter Lie theory of differential equations and computer algebra. 92h:58176 

Oueldguejdi, Abdellah Prolongement des morphismes d’algébres différentielles réguliéres 
et systémes lagrangiens. (English summary) [Prolongation of morphisms of regular 
differential algebras and Lagrangian systems] 92a:58051 

Thompson, Gerard see Anderson, Ian M., 92k:58070 

Tong Van-Dii’c Une caractérisation du fibré transverse. (English summary) [A characteriza- 
tion of the transverse bundle] 92m:57037 


58Z05 Applications to physics 


Items with secondary classifications in 58Z05 

Ader, Jean Pierre (with Gieres, Francois; Noirot, Yves) Gauged BRST symmetry and 
covariant gravitational anomalies. 92b:81196 

Amano, Kaoru (with Shirokura, Hiroshi) O(2) Chern-Simons gauge theory and Z 
orbifolds. 92k:81208 

Amiet, J.-P. (with Cibils, M. B.) Description of quantum spin using functions on the sphere 
F*, 92g:81097 

Arai, Asao Exactly solvable supersymmetric quantum mechanics. 92m:81061 

— (with Ogurisu, Osamu) Meromorphic N = 2 Wess-Zumino supersymmetric quantum 
mechanics. 92m:81062 

Aratyn, H. (with Nissimov, E.; Pacheva, S.) Infinite-dimensional Noether symmetry groups 
and quantum effective actions from geometry. 92i:81094 

de Azcarraga, José A. (with Izquierdo, J. M.) Anomalies from the Wess-Zumino-Witten 
action. 92k:81200 

— (with Izquierdo, J. M.; Zakrzewski, Wojciech J.) Models with Hopf terms. 92m:81151 

Baulieu, Laurent (with Picco, Marco) SL(n,R) topological field theories. 92f:58030 

Benenti, Sergio On the orthogonality of the second class coordinates in the separation of the 
Hamilton-Jacobi equation. (Italian summary) 924:58063 

Berry, Michael Victor Quantum scars of classical closed orbits in phase space. 92c:81075 

Birmingham, Danny (with Cho, Hing Tong; Kantowski, Ronald; Rakowski, Mark T.) 
Operator phases in BF -type topological field theories. 92e:81145 

— (with Gibbs, Richard L.; Mokhtari, Soussan) The effective action in (2 + 1)-dimensional 
gravity and generalized BF topological field theory. 92i:81179 

— (with Cho, Hing Tong; Kantowski, Ronald; Rakowski, Mark T.) The Vilkovisky-DeWitt 
effective action in BF -type topological field theories. 92j:81167 

— (with Rakowski, Mark T.) Vector supersymmetry in topological field theory. 92k:81212 


58Z Applications to physics 


58Z05 


Blau, Matthias (with Thompson, George) Topological gauge theories of antisymmetric 
tensor fields. 92h:81095 

Braden, H. W. (with Corrigan, E.; Dorey, P. E.; Sasaki, Ryu) Multiple poles and other 
features of affine Toda field theory. 92i:81266 

Broda, B. Two-dimensional topological Yang-Mills theory. 92a:81168 

— Invariants for higher-dimensional links via nonabelian topological gauge theory. 
92e:57034 

— A four-dimensional Yang-Mills approach to polynomial invariants of links. 92h:81096 

Buslaev, V.S. (with Dmitrieva, L.A.) Geometrical aspects of the Bloch electrons theory in 
external fields. 92¢:81299 

Cappelli, Andrea (with Friedan, Daniel; Latorre, José I.) c-theorem and spectral representa- 
tion. 92e:81163 

Castaiios, O. (with Frank, Alejandro; Lopez-Pefia, R.) Noether’s theorem and dynamical 
groups in quantum mechanics. 92a:81048 

Cho, Hing Tong see Birmingham, Danny; et al., 92e:81145 and 92j:81167 

Cibils, M. B. see Amiet, J.-P., 92g:81097 

Cirelli, Renzo (with Mania, Alessandro; Pizzocchero, Livio) Quantum phase space 
formulation of Schrédinger mechanics. 92f:81064 

Comay, E. Constraints on the structure of relativistic classical fields. 92g:78008 

Corrigan, E. see Braden, H. W.; et al., 92i:81266 

Dahmen, Hans Dieter (with Marculescu, S.; Szymanowski, Lech) Quantization of the 
topological Yang-Mills theory. 92¢:81207 

Dazord, Pierre (with Patissier, Guy) La premiére classe de Chern comme obstruction & 
la quantification asymptotique. [The first Chern class as an obstruction to asymptotic 
quantization] 92k:58091 

Delduc, Francois (with Gal'perin, A. S.; Sokatchev, E. S.) Lorentz-harmonic (super)fields 
and (super)particles. 92m:81284 

Dimakis, Aristophanes (with Miiller-Hoissen, Folkert) Clifform calculus with applications 
to classical field theories. 92j:83088 

Dmitrieva, L. A. see Buslaev, Y. S., 92¢:81299 

Dorey, P. E. see Braden, H. W.; et al., 92i:81266 

Dresse, Alain (with Fisch, Jean M. L.; Grégoire, Philippe; Henneaux, Marc) Equivalence of 
the Hamiltonian and Lagrangian path integrals for gauge theories. 92f:81211 

Farina de Souza, Carlos (with Gamboa, Jorge) The ¢-function regularization prescription 
and the propagator for a harmonically bound charged particle in a magnetic field. 
92g:81103 

Fisch, Jean M. L. (with Henneaux, Marc) Homological perturbation theory and the 
algebraic structure of the antifield-antibracket formalism for gauge theories. 92i:81333 

— see also Dresse, Alain; et al., 92f:81211 

Flato, Moshé (with Fronsdal, Christian) Three-dimensional singletons. 92g:81133 

Frank, Alejandro see Castaiios, O.; et al., 92a:81048 

Friedan, Daniel see Cappelli, Andrea; et al., 92e:81163 

Fronsdal, Christian see Flato, Moshé, 92g:81133 

Gal'perin, A. S. (with Ogievetskii, V. 1.) N = 2, D = 4 supersymmetric o-models and 
Hamiltonian mechanics. 92i:81320 

— see also Delduc, Francois; et al., 92m:81284 

Gambini, Rodolfo Loop space representation of quantum general relativity and the group of 
loops. 92b:83050 

Gamboa, Jorge (with Rivelles, V.O.) Quantum mechanics of relativistic particles in 
multiply connected spaces and the Aharonov-Bohm effect. 92c:81011 

— see also Farina de Souza, Carlos, 92g:81103 

Georgiev, Vladimir S. Small amplitude solutions of the Maxwell-Dirac equations. 92i:81107 

Gibbs, Richard L. see Birmingham, Danny; et al., 92i:81179 

Gieres, Francois see Ader, Jean Pierre; et al., 92b:81196 

Gitman, D. M. (with Tyutin, I. V.) * Quantization of fields with constraints. 92¢:81002 

Gickeler, M. (with Schiicker, Thomas) Differential forms and gauge theories. (see 
92:81009) 

Grégoire, Philippe see Dresse, Alain; et al., 92f:81211 

Harada, Koji (with Mukaida, Hisamitsu) Gauge invariance and systems with second-class 
constraints. 92¢:81079 

Hayashi, Mitsuo J. (with Murayama, Akihiro; Takeshita, Shoji) The origin of the three 
generations in compactifications of the Eg x Ex heterotic string. 92b:81146a 

— (with Murayama, Akihiro; Takeshita, Shoji) Errata: “The origin of the three generations 
in compactifications of the Eg x Eg heterotic string”. 92b:81146b 

Henneaux, Marc see Dresse, Alain; et al., 92f:81211 and Fisch, Jean M. L., 92i:81333 

Holz, A. Topological properties of linked disclinations and dislocations in solid continua. 
92m:82135 

Isham, C. J. Canonical groups and the quantization of geometry and topology. (see 
92:83003) 

Isler, K. (with LeTourneux, Jean; Paranjape, M. B.) Morse theory and the skyrmion- 
skyrmion potential. 92i:81173 

Izquierdo, J. M. see de Azcarraga, José A., 92k:81200 and 92m:81151 

Kantowski, Ronald see Birmingham, Danny; et al., 92¢:81145 and 92j:81167 

Kaul, Romesh K. (with Rajaraman, R.) A topological field theory associated with mono- 
poles. 92i:81186 

Kimura, Toshiei see Sugano, Reiji, 92c:81103 

Korotkin, D. A. Algebraic geometric solutions of Einstein’s equations: some physical 
properties. 92j:83027 

Kovner, A. see Rosenstein, B., 92e:81139 

Kuperin, Yu. A. (with Kurasov, P. B.; Mel/nikov, Yu. B.; Merkur’ev, S. P.) Connections and 
effective S-matrix in triangle representation for quantum scattering. 92b:81219 

Kurasov, P. B. see Kuperin, Yu. A.; et al., 92b:81219 

Landi, Giovanni (with Marmo, G.) Lie algebra extensions and gauge theories. 92g:17027 

Latorre, José I. see Cappelli, Andrea; et al., 92e:81163 

Lavkin, A. G. Investigation of the stability of classical spherically symmetric Yang-Mills 
fields by the direct Lyapunov method. (Russian) 92d:81089 

— Stochasticity of classical Yang-Mills fields with a nonstandard Lagrangian. (Russian) 

LeTourneux, Jean see Isler, K.; et al., 92i:81173 

Li, Miao Abelian Chern-Simons theory and CFT of rational torus. 92¢:81178 

Littlejohn, Robert G. Semiclassical structure of trace formulas. 92b:81044 





58Z05 GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS 


Lopez-Peiia, R. see Castaiios, O.; et al., 92a:81048 

Madore, J. Kaluza-Klein aspects of noncommutative geometry. 92j:58007 

Mania, Alessandro see Cirelli, Renzo; et al., 92f:81064 

Marculescu, S. see Dahmen, Hans Dieter; et al., 92c:81207 

Marmo, G. see Landi, Giovanni, 92g:17027 

Melnikov, Yu. B. see Kuperin, Yu. A.; et al., 92b:81219 

Merkur'ev, S. P. see Kuperin, Yu. A.; et al., 92b:81219 

Mokhtari, Soussan see Birmingham, Danny; et al., 92i:81179 

Mukaida, Hisamitsu see Harada, Koji, 92c:81079 

Miiller-Hoissen, Folkert see Dimakis, Aristophanes, 92j:83088 

Murayama, Akihiro see Hayashi, Mitsuo J.; et al., 92b:81146a and 92b:81146b 

Mussardo, Giuseppe (with Sotkov, Galen) S-matrix bootstrap and minimal integrable 
models. (see 92m:81271) 

Narain, K.S. (with Sarmadi, M. H.; Vafa, Cumrun) Asymmetric orbifolds: path integral 
and operator formulations. 92j:81250 

Narayanan, Rajamani S. (with Tracy, Craig A.) Holonomic quantum field theory of bosons 
in the Poincaré disk and the zero curvature limit. 92a:81186 

van Nieuwenhuizen, Peter * Anomalies in quantum field theory: cancellation of anomalies 
in d = 10 supergravity. 92b:81201 

Nissimov, E. see Aratyn, H.; et al., 92i:81094 

Noirot, Yves see Ader, Jean Pierre; et al., 92b:81196 

Ogievetskii, V.I. see Gal/perin, A. S., 92i:81320 

Ogurisu, Osamu see Arai, Asao, 92m:81062 

Ouvry, Stéphane (with Thompson, George) Topological field theory: zero-modes and 
renormalization. 92f:81214 

Pacheva, S. see Aratyn, H.; et al., 92i:81094 

Paranjape, M. B. see Isler, K.; et al., 92i:81173 

Patissier, Guy see Dazord, Pierre, 92k:58091 

Pel'ts,G. A. Algebro-geometric quantization of interacting strings and superstrings. 
(Russian. English summary) 92i:81248 

Percoco, Umberto (with Villalba, Victor M.) Exact solutions to Klein-Gordon and Weyl 
equations in a perfect-fluid Einstein-Maxwell space-time with local rotational symmetry. 
(French summary) 92i:83013 

Picco, Marco see Baulieu, Laurent, 92f:58030 

Pizzocchero, Livio see Cirelli, Renzo; et al., 92f:81064 

Polyakov, A. M. One physical problem with possible mathematical significance. 92:81105 

Pron’‘ko, G. P. Hamiltonian theory of the relativistic string. 92j:81251 

Rajaraman, R. see Kaul, Romesh K., 92i:81186 

Rakowski, Mark T. see Birmingham, Danny; et al., 92e:81145; 92j:81167 and 92k:81212 

Rennie, R. Geometry and topology of chiral anomalies in gauge theories. 92f:81199 

Rey, Soo-Jong Confining phase of superstrings and axionic strings. 92b:81154 

Rivelles, V.O. see Gamboa, Jorge, 92c:81011 

Robbins, Jonathan M. Maslov indices in the Gutzwiller trace formula. 92h:81040 

Rosenhaus, V. On semi-invariant solutions of self-dual p-brane equations. 92d:81109 

Rosenstein, B. (with Kovner, A.) On the quantum CP’~! model. 92¢:81139 

Sabra, Wafic A. Gauged Wess-Zumino-Novikov-Witten models and 2D quantum super- 
gravity. 92g:81183 

Sarmadi, M. H. see Narain, K. S.; et al., 92j:81250 

Sasaki, Ryu see Braden, H. W.; et al., 92i:81266 

Schiicker, Thomas see Gockeler, M., (92f:81009) 

Shirokura, Hiroshi see Amano, Kaoru, 92k:81208 

Soda, Jiro A novel supersymmetry in two-dimensional Yang-Mills theory on Riemann 
surfaces. 92f:81189 

Sokatchev, E.S. see Delduc, Francois; et al., 92m:81284 

Sotkov, Galen see Mussardo, Giuseppe, (92m:81271) 

Sugano, Reiji (with Kimura, Toshiei) Classification of gauge groups in terms of algebraic 
structure of first class constraints. 92c:81103 

Szymanowski, Lech see Dahmen, Hans Dieter; et al., 92c:81207 

Takeshita, Shoji see Hayashi, Mitsuo J.; et al., 92b:81146a and 92b:81146b 

Thompson, George see Ouvry, Stéphane, 92f:81214 and Blau, Matthias, 92h:81095 

Tracy, Craig A. see Narayanan, Rajamani S., 92a:81186 

Tyutin, I. V. see Gitman, D. M., 92e:81002 

Vafa,Cumrun see Narain, K. S.; et al., 92j:81250 

Verwimp, Theo Unified prescription for the generation of electroweak and gravitational 
gauge field Lagrangian on a principal fiber bundle. 92a:81222 

Villalba, Victor M. see Percoco, Umberto, 92i:83013 

Wa, Siye Topological quantum field theories on manifolds with a boundary. 92d:58214 

Wyrozumski, Tomasz Fiber-bundle formalism for quantization in curved spaces. 92a:81131 

Yang, Yisong Vacuum decay of nonabelian vortices. 92m:58024 

Zakrzewski, Wojciech J. see de Azcarraga, José A.; et al., 92m:81151 

Zirnbauer, Martin R. Fourier analysis on a hyperbolic supermanifold with constant 
curvature. 92k:58037